 2. Let -3/4*q**3 - 1/4*q + 0 - 1/4*q**k - 3/4*q**2 = 0. What is q?
-1, 0
Let j(w) be the third derivative of 0*w + 0 + 2*w**2 + 0*w**3 + 0*w**5 + 1/240*w**6 - 1/1344*w**8 + 1/840*w**7 + 0*w**4. Suppose j(q) = 0. Calculate q.
-1, 0, 2
Find m, given that -m**4 + 27/2*m**2 - 8 + 13/2*m**3 - 11*m = 0.
-2, -1/2, 1, 8
Suppose -11*u = -8*u - 21. Let 3*q**3 + 2*q**3 + u*q**3 + 5*q**2 - 2*q**3 - 5*q = 0. Calculate q.
-1, 0, 1/2
Let p(w) be the third derivative of -w**7/4200 + w**5/200 + 35*w**4/24 + 3*w**2. Let b(h) be the second derivative of p(h). Factor b(s).
-3*(s - 1)*(s + 1)/5
Let d(j) = -j**3 - j**2 + j + 10. Let x be d(0). Suppose 12 = 16*v - x*v. Suppose 3/7 + 1/7*a**v - 4/7*a = 0. Calculate a.
1, 3
Let t(o) = o**4 - 4*o**3 + 5*o**2 + 4*o - 6. Let h(z) = -z**4 + 4*z**3 - 3*z**2 - 5*z + 5. Let w(d) = -6*h(d) - 5*t(d). Suppose w(i) = 0. What is i?
-2, 0, 1, 5
Let h(m) be the first derivative of -3*m**4/20 + 6*m**3/5 - 33*m**2/10 + 18*m/5 + 50. What is g in h(g) = 0?
1, 2, 3
Suppose 4*d - 23 = -15. Factor 8/7*p + 2/7*p**d + 0.
2*p*(p + 4)/7
Suppose 50 = -3*d + 5*n - 2, 5*n = -5. Let l = d + 21. Solve a**3 + 5*a**3 - 6*a**l - 3*a**3 + 0*a**4 + 3*a**4 = 0.
-2, 0, 1
Suppose 5*x - 418 = 22. Suppose -3*s - 5*c + x = -20, 65 = 2*s + c. Find p such that -p - 27*p**4 - 4*p**2 + 4*p**3 - 2*p + s*p**4 - p = 0.
-1, 0, 1
Factor -149 + 107*n**2 + 136*n**2 - 104*n - 299*n - 527 + n**4 - 29*n**3.
(n - 13)**2*(n - 4)*(n + 1)
Let x(a) be the first derivative of a**5/15 + 5*a**4/6 + 8*a**3/3 - 45*a**2/2 - 2. Let r(d) be the second derivative of x(d). Factor r(j).
4*(j + 1)*(j + 4)
Let c(p) = p**2 + 2*p - 1. Let g be c(-3). Let 5*m**3 + 20*m - 24*m**2 + 5*m**2 + 44*m**g = 0. What is m?
-4, -1, 0
Let w(y) = y**2 - 4. Let l be w(3). Suppose 6*u - 4 = -4. Factor -5*p**2 - 11*p**2 + 3*p**3 + u*p**2 + 8*p + l*p**2 + 4.
(p - 2)**2*(3*p + 1)
Let g be 78/(-1092)*77/(-6) + (-4)/6. Factor -3/8*j**2 + 1/8*j**3 + g*j + 0.
j*(j - 2)*(j - 1)/8
Let i(z) be the first derivative of -z**6/45 + z**4/3 - 8*z**3/9 + z**2 - 2*z - 11. Let g(x) be the first derivative of i(x). Suppose g(n) = 0. What is n?
-3, 1
Let u(v) = v + 1. Suppose -3*t = 3, 0*t - 2*t = -3*i + 5. Let c(g) = -4*g**2 + 2*g - 10. Let o(b) = i*c(b) + 6*u(b). Factor o(w).
-4*(w - 1)**2
Let s(i) be the first derivative of 4/17*i + 4/85*i**5 + 1/17*i**2 + 24 - 8/51*i**3 + 1/51*i**6 - 1/17*i**4. Suppose s(w) = 0. What is w?
-2, -1, 1
Let j be (360/(-7))/((-14)/98). Suppose -j = m - 7*m. Find a such that -21*a**3 + a**2 - 12 - 22*a**2 - 48*a**2 - m*a = 0.
-2, -1, -2/7
Let k(w) be the first derivative of w**5/60 - w**3/18 + 50*w + 13. Let f(r) be the first derivative of k(r). What is t in f(t) = 0?
-1, 0, 1
Let v be (-4 - (-684)/168)*(4 + -2). Determine f so that -2/7*f - v - 1/7*f**2 = 0.
-1
Let z(d) be the second derivative of d**7/630 - d**6/45 + 2*d**5/15 + d**4/4 - d. Let a(s) be the third derivative of z(s). Factor a(r).
4*(r - 2)**2
Determine x so that 52/3 + 56/3*x + 4/3*x**2 = 0.
-13, -1
Let m(x) be the third derivative of -9/280*x**7 - 8*x**2 + 0 + 21/160*x**6 + 1/8*x**4 - 1/5*x**5 + 0*x + 0*x**3. Determine g so that m(g) = 0.
0, 2/3, 1
Let q = -3809 + 11428/3. Let b be 1/2*(-4)/(-6). Factor -1/2*j - b*j**2 + 1/2*j**3 + q.
(j - 1)*(j + 1)*(3*j - 2)/6
What is d in 2/3*d**3 + 0 - 4/3*d + 2/3*d**2 = 0?
-2, 0, 1
Let c be 3*14/(-60)*((-168)/49)/3. Factor 4/5 - c*k**2 - 6/5*k.
-2*(k + 2)*(2*k - 1)/5
Let u(c) = -8*c**3 - 41*c**2 + 24*c + 20. Let a(b) = 13*b + 7*b - 40*b**2 + 4*b - 8*b**3 + 20. Let j(s) = 5*a(s) - 4*u(s). Factor j(o).
-4*(o - 1)*(o + 5)*(2*o + 1)
Factor 3/5*l + 3/5*l**2 + 0.
3*l*(l + 1)/5
Let p(w) be the third derivative of w**2 + 8/105*w**7 + 1/5*w**6 + 1/6*w**4 + 0*w**3 - 22*w + 1/84*w**8 + 0 + 4/15*w**5. Factor p(z).
4*z*(z + 1)**4
Suppose 0 = -2*c + 10, 38 + 26 = -3*w - 4*c. Let v be (-1 - -4)/(7/w*-4). Factor -1/3*o**2 + 1/3*o**5 - 1/3*o**v + 0*o + 1/3*o**4 + 0.
o**2*(o - 1)*(o + 1)**2/3
Let y(u) = 7*u**2 + 31*u - 2. Let m(j) = 8*j**2 + 34*j - 3. Let z(g) = -2*m(g) + 3*y(g). Factor z(x).
5*x*(x + 5)
Let 3/2*o**4 + 0*o + 0 + 3/2*o**3 - 18*o**2 = 0. What is o?
-4, 0, 3
Let z be 5/(10/12) - (-14760)/(-2624). What is d in -z*d**2 - 3/8*d**3 + 3/2*d + 3/2 = 0?
-2, -1, 2
Solve 10025*f**2 - 4*f**5 - 65*f**4 + 3*f**5 - 1150*f**3 - 13095*f**2 - 961 - 2945*f = 0.
-31, -1
Let y(a) be the second derivative of 0 + 1/30*a**4 + 2/15*a**3 - 3/5*a**2 + 22*a. Find q such that y(q) = 0.
-3, 1
Let r(f) be the third derivative of 3/68*f**4 + 8/1785*f**7 + 11*f**2 + 11/510*f**6 + 1/2856*f**8 + 0*f + 0*f**3 + 0 + 4/85*f**5. Let r(h) = 0. What is h?
-3, -1, 0
Let z(h) = -2*h**3 + h**2 + h + 1. Let t(r) = -7*r**3 - 29*r**2 - 99*r + 141. Let i(m) = -t(m) + 6*z(m). Determine l, given that i(l) = 0.
-3, 1, 9
Suppose -5*j + 6*j = 3*n, -n - 5*j = 0. Let -4/3*c**3 + 2*c**5 + n*c**2 + 0 - 10/3*c**4 + 0*c = 0. What is c?
-1/3, 0, 2
Let n(v) = v**2 - 40*v + 111. Let u be n(3). Let a(t) be the second derivative of 1/6*t**3 + 3*t + 1/24*t**4 + u*t**2 + 0. Factor a(p).
p*(p + 2)/2
Suppose 6 = 3*a - 0*a. Solve -10 + 2*c + c + c**a + 12 = 0.
-2, -1
Let v(y) be the second derivative of -5*y**7/14 + y**6/2 - y**5/2 + 15*y. Let i(o) = 22*o**5 - 23*o**4 + 15*o**3. Let h(d) = 5*i(d) + 7*v(d). Factor h(a).
5*a**3*(a - 1)**2
Let x(h) be the first derivative of -2*h**5/55 + 3*h**4/22 + 2*h**3 + 53*h**2/11 + 48*h/11 + 101. Let x(b) = 0. What is b?
-3, -1, 8
Let m(l) be the second derivative of l**5/270 - 7*l**4/108 + 2*l**3/9 - 21*l**2/2 - 25*l. Let b(y) be the first derivative of m(y). Find q, given that b(q) = 0.
1, 6
Suppose -2*b = 5*g + 456, 6*g = 3*g - 4*b - 268. Let f = g + 94. Suppose 0*y**f - 6/5*y**4 - 4/5*y**3 - 2/5*y**5 + 0*y + 0 = 0. What is y?
-2, -1, 0
Let k = 12 - 8. Suppose a - k*c = 10, 7*a - 4*a - 10 = 2*c. Factor 0*d**2 - a*d + d**3 - 16 + 16 + d**2.
d*(d - 1)*(d + 2)
Let d(t) = 360*t + 8464. Let i(p) = -p**2 + 358*p + 8464. Let u(c) = 5*d(c) - 4*i(c). Factor u(h).
4*(h + 46)**2
Let k(w) be the third derivative of -1/12*w**4 + 0 - 1/30*w**6 + 0*w - 1/6*w**5 + 2/3*w**3 + 2*w**2. Factor k(o).
-2*(o + 1)*(o + 2)*(2*o - 1)
Let z(m) be the first derivative of -m**5/5 + 2*m**4 - 7*m**3/3 - 194. Suppose z(o) = 0. Calculate o.
0, 1, 7
Let x(h) be the second derivative of -7*h**2 - 27*h + 0 - 1/6*h**4 - 8/3*h**3. Factor x(m).
-2*(m + 1)*(m + 7)
Let d = -379 + 385. Let m(u) be the first derivative of -1/15*u**3 - 3/25*u**5 - 1 + 0*u**2 + 1/30*u**d + 0*u + 3/20*u**4. Factor m(q).
q**2*(q - 1)**3/5
Let l(w) be the second derivative of 1/16*w**4 + 6*w + 0*w**2 + 0*w**3 + 0. Let l(y) = 0. Calculate y.
0
Suppose 6 = -7*k + 9*k. Factor -4*l**4 - 6*l**4 - 62*l**3 + 28*l**k - 12*l**2.
-2*l**2*(l + 3)*(5*l + 2)
Let f(l) be the second derivative of 2*l**7/21 + 16*l**6/15 - 8*l**5/5 - 32*l**4 + 96*l**3 + 260*l. Find a such that f(a) = 0.
-6, 0, 2
Let d = 40436 + -40408. Solve d - 543/2*a**3 + 383*a**2 - 186*a + 63/2*a**4 = 0.
2/7, 2/3, 7
Solve 8/15*x + 0 - 2/15*x**2 = 0 for x.
0, 4
Let s be (2 - 4) + (-6 - -11). Factor -2/11*p + 0 - 2/11*p**s - 4/11*p**2.
-2*p*(p + 1)**2/11
Let i(g) = -29*g**3 + 156*g**2 - 480*g - 17. Let u(t) = 5*t**3 - 26*t**2 + 80*t + 3. Let r(j) = 6*i(j) + 34*u(j). Factor r(q).
-4*q*(q - 8)*(q - 5)
Let v = -109 - -115. Let f(n) be the second derivative of -1/10*n**v + 2/5*n**5 + 0*n**3 + 4*n + 0*n**2 - 3/14*n**7 + 0 + 1/3*n**4. Factor f(s).
-s**2*(s - 1)*(3*s + 2)**2
Let r be 6/(-4)*(-4)/3. Factor -c**4 - 12*c**3 + 24*c**r + 3*c**4 - 6*c**2 + 0*c**3.
2*c**2*(c - 3)**2
Let x(o) be the third derivative of 1/11*o**3 + 0 + 1/66*o**4 - 2*o**2 + 0*o - 1/330*o**5. Factor x(q).
-2*(q - 3)*(q + 1)/11
Suppose -3*x = -6 - 3. Let l(i) be the first derivative of 5*i**5 - 2 - 10*i**3 - 12*i + x*i**3 + 30*i**2 + 10*i**5 - 15*i**4 - 14*i**3. Factor l(r).
3*(r - 1)*(r + 1)*(5*r - 2)**2
Let u(f) be the third derivative of -f**3 + 0 - 1/8*f**6 - 7/8*f**4 - 9/20*f**5 + 2*f**2 - 1/70*f**7 + 0*f. Factor u(t).
-3*(t + 1)**3*(t + 2)
Let c(j) be the second derivative of j**4/24 + 13*j**3/6 + 12*j**2 - 163*j. Find h, given that c(h) = 0.
-24, -2
Let p be 14 - (-168)/((-84)/7). Solve p + 0*r - 4/13*r**2 + 4/13*r**4 - 2/13*r**5 + 2/13*r**3 = 0.
-1, 0, 1, 2
Let d(w) be the second derivative of -1/15*w**6 + 0 + 7/3*w**3 - 2*w**2 + 1/2*w**5 - 3/2*w**4 + 22