at is g in -34/3*g**3 + 0 + 18*g**2 + 30*g + 2/3*g**4 = 0?
-1, 0, 3, 15
Let y(g) be the first derivative of 14 - 1/8*g**2 + 1/12*g**3 - 1/4*g + 1/16*g**4. Suppose y(j) = 0. What is j?
-1, 1
Let g be (-90)/18*(-22)/(-5). Let v be (-7)/(-22) + (-4)/g. Factor 3/2*o + o**2 - o**3 - 1/2*o**5 + v - 3/2*o**4.
-(o - 1)*(o + 1)**4/2
Let g(c) = c**3 + 6*c**2 + 3*c + 7. Let d be g(-5). Let r be -4 - (42/(-19) + d + -19). Factor 2/19*j**2 + 2/19 - r*j.
2*(j - 1)**2/19
Let z be 64/(-6) + (-3)/9. Let d = z + 14. Factor 2 - 4*x**d - 3*x - 4*x**2 + x**3 + 4*x.
-(x + 1)**2*(3*x - 2)
Let r(g) = -g**3 + 11*g**2 + 60*g + 8. Let k be r(15). Let m(f) be the first derivative of -k + 1/7*f**2 + 2/7*f - 4/21*f**3. Find w, given that m(w) = 0.
-1/2, 1
Find z, given that -5*z + 0 - 1/2*z**3 + 7/2*z**2 = 0.
0, 2, 5
Let q(v) be the second derivative of 0 + 5*v**2 + 5/2*v**3 + 9*v - 5/6*v**4 + 1/12*v**5. Let y(b) be the first derivative of q(b). Solve y(l) = 0.
1, 3
Let x(p) be the first derivative of -5*p**6/6 + 12*p**5/5 + p**4/4 - 4*p**3 + 2*p**2 + 54. Suppose x(t) = 0. What is t?
-1, 0, 2/5, 1, 2
Factor -31*p**3 + 112*p - 46*p**2 - 4 - 216 + 36*p**3 - 12*p + 161*p**2.
5*(p - 1)*(p + 2)*(p + 22)
Find v such that -4*v**4 + 12 + 40/3*v**2 - 4*v**3 - 2/3*v**5 + 26*v = 0.
-3, -1, 2
Let -18*a - 71/6*a**3 - 1/6*a**5 - 133/6*a**2 - 5/2*a**4 - 16/3 = 0. Calculate a.
-8, -4, -1
Suppose 4*z = g + 46, -4*g + 3*g - 51 = -3*z. Let b = g - -137/2. Solve -y**4 + b*y**3 + 0*y + 0 - y**2 = 0.
0, 1/2, 2
Factor -2 + 7/3*y - 1/3*y**2.
-(y - 6)*(y - 1)/3
Let 3*y - 1/5*y**2 + 0 = 0. Calculate y.
0, 15
Suppose -28 = -4*a - 2*z - 0, 65 = 5*a - 5*z. Find d such that -2*d**3 + a*d**3 - 3*d**2 - 4*d**3 = 0.
0, 1
Let q(v) = -5*v**2 - 13*v - 39. Let f(t) = -8*t**2 - 27*t - 77. Let s(d) = 3*f(d) - 5*q(d). Factor s(g).
(g - 18)*(g + 2)
Let z(a) be the second derivative of -a**4/36 - 11*a**3/18 + 2*a**2 - 10*a + 4. Factor z(y).
-(y - 1)*(y + 12)/3
Let j be 65/(-26)*(-8)/5. Let 7*g - 3*g**3 - 2*g - 2*g**3 + 5*g**j - 5*g**2 = 0. What is g?
-1, 0, 1
Factor -87*d + 55 - 3*d**2 + 37*d - 2*d**2.
-5*(d - 1)*(d + 11)
Solve -12/5*h**5 - 216/5*h**2 + 28/5*h + 8 - 16/5*h**4 + 176/5*h**3 = 0 for h.
-5, -1/3, 1, 2
Let i(x) be the third derivative of 7*x**6/30 - 4*x**5/5 - 2*x**4/3 + 6*x**2 + 14*x. Factor i(h).
4*h*(h - 2)*(7*h + 2)
Solve -4/9*z**3 - 16 + 16/9*z + 4*z**2 = 0 for z.
-2, 2, 9
Let a = -1335 + 1335. What is m in 0*m**2 - 5/3*m + 0*m**4 - 5/3*m**5 + 10/3*m**3 + a = 0?
-1, 0, 1
Let r(n) be the third derivative of n**7/70 - 11*n**6/40 - 7*n**5/10 + 3*n**4 - 98*n**2. Determine q so that r(q) = 0.
-2, 0, 1, 12
Suppose -6*w + 12 = -4*w. Let t(q) = -12*q**3 + 32*q**2 - 122. Let d(f) = -f**3 + 3*f**2 - 11. Let r(x) = w*t(x) - 68*d(x). Factor r(y).
-4*(y - 1)*(y + 2)**2
Suppose 4*x - 12 = 12. Let -2*i**2 + 7*i**2 + 6 + 5 + 10*i - x = 0. Calculate i.
-1
Let b(j) be the second derivative of j**7/252 + j**6/60 - j**5/24 - 3*j**4/8 - 8*j**3/9 - j**2 + 7*j. Suppose b(l) = 0. What is l?
-2, -1, 3
Let b be 4/(52/(-21))*(-16)/1176*21. Factor -4/13*o**2 + 4/13*o**4 + 0*o + 0 - b*o**3.
2*o**2*(o - 2)*(2*o + 1)/13
Let y be (38/(-950))/(3/(-45))*50/6. Suppose -2/3*b**4 + 4/3*b**2 - 2/3*b**3 + 1/3*b - 2/3 + 1/3*b**y = 0. Calculate b.
-1, 1, 2
Let m = -37719 + 339473/9. Suppose m*t**3 + 0 + 0*t + 0*t**2 = 0. Calculate t.
0
Let x(w) = 2*w**2 - 2. Let q(h) = -3*h**2 - h - 8. Let t(f) = -2*q(f) - 4*x(f). What is k in t(k) = 0?
-3, 4
Factor -164/3*a - 18 - 2*a**2.
-2*(a + 27)*(3*a + 1)/3
Let x(g) = 2*g**2 + 3*g - 7. Let b be x(-4). Let p = 23 - b. Determine o so that 6*o + 6 + 1 - p - 3*o**2 = 0.
1
Suppose -17*v + 5*v + 36 = 0. Let r(d) be the third derivative of 0*d + 1/20*d**5 + 0 + 2*d**v - 1/2*d**4 - 3*d**2. Factor r(h).
3*(h - 2)**2
Let p = 289 + -287. Suppose -3/4*m**5 - 81/4 - 69/2*m**3 - 243/4*m - 33/4*m**4 - 135/2*m**p = 0. What is m?
-3, -1
Let l(a) = -2*a**3 - 20*a**2 - 10*a + 28. Let n(d) = 4*d**3 + 41*d**2 + 19*d - 54. Let j(w) = 5*l(w) + 2*n(w). Factor j(v).
-2*(v - 1)*(v + 2)*(v + 8)
Let p = 2/557 - -7227/3899. Let u = p + -11/21. Factor -8/3*a**4 + 0*a**2 + 0*a - u*a**5 + 0 - 4/3*a**3.
-4*a**3*(a + 1)**2/3
Let -9/2*b**3 + 0 + 3/4*b**4 - 3/4*b**2 + 9/2*b = 0. Calculate b.
-1, 0, 1, 6
Let i be 16/40 + 404/(-10). Let x = i - -44. Solve 3/2*n**3 + 5/6*n**x + 0 + 1/6*n**5 + 1/3*n + 7/6*n**2 = 0.
-2, -1, 0
Let o be ((-18)/(-36))/((-1)/4*-1). Factor 8*z**2 - 4*z**o + 3*z**2 - 2*z**2.
5*z**2
Let m = 224 - 1118/5. Find k such that 2/5*k**3 - 2/5*k - m*k**2 + 0 + 2/5*k**4 = 0.
-1, 0, 1
Let n(u) be the second derivative of -u**5/110 - 3*u**4/22 + 2*u**3/3 + 364*u. Let n(o) = 0. Calculate o.
-11, 0, 2
Let d(i) be the first derivative of i**5/20 + i**4/28 - 17*i**2/2 - 1. Let h(v) be the second derivative of d(v). Determine x, given that h(x) = 0.
-2/7, 0
Let h = 45 - 43. Factor -3*m**h - 2 + 6 + 8.
-3*(m - 2)*(m + 2)
Let f(x) be the third derivative of -x**7/840 + x**6/360 - 43*x**3/6 + 28*x**2. Let h(t) be the first derivative of f(t). Solve h(n) = 0.
0, 1
Let r(l) be the third derivative of 5*l**9/3024 - l**7/168 + 5*l**3/3 + 7*l**2. Let b(y) be the first derivative of r(y). Factor b(h).
5*h**3*(h - 1)*(h + 1)
Let u(j) be the third derivative of 0*j**3 + 23*j**2 + 0 + 2/3*j**4 + 0*j - 16/15*j**5 + 7/30*j**6. Factor u(m).
4*m*(m - 2)*(7*m - 2)
Let s(y) be the third derivative of y**6/60 + 14*y**5/15 - 88*y**2. Find n, given that s(n) = 0.
-28, 0
Let n(j) be the second derivative of 216*j**6/5 + 162*j**5/5 - 189*j**4/4 + 13*j**3 - 3*j**2/2 - 133*j. Determine w so that n(w) = 0.
-1, 1/12, 1/3
Suppose 2*v + 3*z - 3 = -v, -5*v + 5*z = -25. Suppose 2*h = 2*b - 6, -25 = -5*h - 0*h - v*b. Factor 0 + 0*r**3 + 2/5*r**5 - 4/5*r**4 + 4/5*r**h - 2/5*r.
2*r*(r - 1)**3*(r + 1)/5
Let z(l) be the first derivative of -l**6/1980 + l**5/330 + l**4/44 - 2*l**3/3 + 7. Let h(n) be the third derivative of z(n). Let h(a) = 0. What is a?
-1, 3
Let w be 8 + 0 - (3 + -3 - 0). Let j = w + -15/2. Let j*c**3 - 1/2*c - 1/2*c**4 + 1/2*c**2 + 0 = 0. What is c?
-1, 0, 1
Let l(k) be the second derivative of k**6/105 - 3*k**5/70 + k**4/42 + k**3/7 - 2*k**2/7 + 26*k + 3. Factor l(v).
2*(v - 2)*(v - 1)**2*(v + 1)/7
Let s(r) = 1300*r**2 + 16608*r + 53152. Let y(m) = 200*m**2 + 2555*m + 8177. Let v(l) = 5*s(l) - 32*y(l). Let v(q) = 0. Calculate q.
-32/5
What is a in 244/3*a - 4/3*a**2 + 248/3 = 0?
-1, 62
Let t = 112 - 122. Let b be (-8)/t - 238/385. Factor -b*u**2 + 0 - 2/11*u.
-2*u*(u + 1)/11
Factor -4/9*z + 1/9*z**2 + 1/3.
(z - 3)*(z - 1)/9
Solve 0*w**2 - 2/9*w**4 + 0 + 2/3*w**3 - 8/9*w = 0.
-1, 0, 2
Let d(m) be the first derivative of -m**4/20 - 224*m**3/15 - 6272*m**2/5 - 501. Factor d(w).
-w*(w + 112)**2/5
Let z(c) be the first derivative of -3*c**5/5 - 9*c**4/2 + 81*c**2 + 243*c - 531. Factor z(p).
-3*(p - 3)*(p + 3)**3
Let d(w) be the first derivative of -6 - 4/5*w**5 + 0*w**3 - w**4 + 0*w**2 + 0*w. Factor d(t).
-4*t**3*(t + 1)
Let 988/5*p - 2/5*p**2 - 122018/5 = 0. Calculate p.
247
Factor 16/7 + 2/7*g - 16/7*g**2 - 2/7*g**3.
-2*(g - 1)*(g + 1)*(g + 8)/7
Let g(r) be the first derivative of -81*r**4/4 + 285*r**3 + 196*r**2 + 44*r + 245. Factor g(l).
-(l - 11)*(9*l + 2)**2
Let y(b) be the third derivative of b**7/70 + b**6/40 - 3*b**5/20 - b**4/8 + b**3 - 175*b**2. Find d such that y(d) = 0.
-2, -1, 1
Let u(v) be the first derivative of 11/3*v**2 + 8 - 2/3*v**3 + 8/3*v. Factor u(g).
-2*(g - 4)*(3*g + 1)/3
Suppose -2*z + 10 = 5*x, -x = -z - 8 - 1. Factor -35*n - 46*n - 32 + 33*n - x*n**3 - 24*n**2.
-4*(n + 2)**3
Factor -1/2*v**2 + 11*v + 23/2.
-(v - 23)*(v + 1)/2
Let z(x) be the third derivative of x**6/200 + 3*x**5/50 + 11*x**4/40 + 3*x**3/5 - 41*x**2. Determine s, given that z(s) = 0.
-3, -2, -1
Factor 0 - 5/3*s**3 + 30*s - 5*s**2.
-5*s*(s - 3)*(s + 6)/3
Let r(d) be the second derivative of 0 + 49/2*d**2 + 13*d + 1/12*d**4 - 7/3*d**3. Factor r(p).
(p - 7)**2
Let w be 3/(126/39 - 9/3). Suppose -2*q = w*q - 0*q. Solve -1/3*n**2 + 0*n + q = 0.
0
Let t(v) = -v**5 + v**4 + v**3 + v**2 + v + 1. Let u(z) = 5*z**5 - 11*z + 3 + 9*z**3 - 6 - 11*z**4 + 10*z - 11*z**2. Let o(q) = 3*t(q) + u(q). Factor o(j).
2*j*(j - 1)**4
Let d be 16/(-18) + 3/((-9)/(-3)). Let n(z) be the second derivative of 0*z**2 + 3*z + 0 - 2/9*z**4 + d*z**3. Factor n(m).
-2*m*(4*m - 1)/3
Let 