a**4/84 + a**3/14 - 8*a**2 + 5*a. Find y such that d(y) = 0.
-3, -1, 1
Let g = -41 - -43. Determine s so that -1/5*s + 2/5 - 2/5*s**g + 1/5*s**3 = 0.
-1, 1, 2
Let w(o) be the second derivative of -o**6/45 + 17*o**5/30 - 5*o**4/6 - 17*o**3/9 + 16*o**2/3 - 236*o. Solve w(l) = 0.
-1, 1, 16
Let y(t) be the first derivative of t**6/1260 + t**5/140 + 29*t**3/3 - 27. Let s(g) be the third derivative of y(g). Determine z, given that s(z) = 0.
-3, 0
Let p(r) = -5*r + 3. Let b be p(-5). Let n = b + -16. Determine y so that 20*y**3 + 0*y**2 + 0*y**5 + 4*y**4 - 4*y**5 + n*y**2 = 0.
-1, 0, 3
Let y = 34 + -19. Suppose -2*g**2 - y*g - 35 + 7 - 4 - g = 0. What is g?
-4
Let z = 24 - 16. Factor 21*d**5 - 3*d**2 - 8*d + z*d**4 - 5*d**2 - 19*d**5 + 6*d**3.
2*d*(d - 1)*(d + 1)*(d + 2)**2
Let j(v) = 14*v + 98. Let s be j(-7). Let l(i) be the first derivative of -1/6*i**4 + 5 + i**2 + 4/3*i + s*i**3. Factor l(m).
-2*(m - 2)*(m + 1)**2/3
Let u(v) be the first derivative of 1/3*v**3 - v**2 - 9 + v. Let u(m) = 0. Calculate m.
1
Let o(y) = -y**3 + 8*y**2 + 8*y + 8. Let z be o(9). Let q be 3 - (0/4)/(z - -3). Let -4/3*l**2 + q*l - 2/3 = 0. Calculate l.
1/4, 2
Let c(t) = 10*t**2 + 36*t - 40. Let s(m) = 2*m**2 - m. Let q(r) = c(r) - 6*s(r). Factor q(a).
-2*(a - 20)*(a - 1)
Let h(q) be the second derivative of -q**4/6 - 20*q**3 + 124*q**2 - q - 155. Factor h(x).
-2*(x - 2)*(x + 62)
Let r(q) = q**2 + 4. Let h be r(0). Suppose -3*t + 31 = h*w, -17 = 2*w - 3*t - 2*t. Suppose 4*n + 6 + 2*n**2 + 3*n**2 - w - 3*n**2 = 0. What is n?
-1
Determine d so that 48*d + 90*d**2 + 39/2*d**3 + 0 = 0.
-4, -8/13, 0
Let d = -2831 - -2837. Let v(b) be the second derivative of -1/20*b**4 + 0*b**2 + 0 - d*b + 1/10*b**3. Factor v(q).
-3*q*(q - 1)/5
Determine a so that -20*a**3 - 66*a + 20*a**2 - 12*a**2 + 61*a + 12*a**2 = 0.
0, 1/2
Suppose 3*t = -2*n + t + 44, 14 = n - t. Factor 7*q + 3*q**3 + n*q**2 + 18 - 2*q + 2*q + 26*q.
3*(q + 1)*(q + 2)*(q + 3)
Let j = -35090/117 - -2702/9. Factor 0 - 6/13*h**3 + j*h**2 + 2/13*h.
-2*h*(h - 1)*(3*h + 1)/13
Let g = 102487/81996 - -2/20499. Solve -1/4*w**2 + g*w - 3/2 = 0 for w.
2, 3
Let t be 0 - 2 - (-28)/7. Let l(f) = -2*f**2 - 25*f - 29. Let h be l(-11). Factor -4*g**3 + 12*g**t - h*g**3 + 4*g**3.
-4*g**2*(g - 3)
Let i(z) be the third derivative of z**6/180 - 7*z**5/5 + 441*z**4/4 - 262*z**2. Determine d so that i(d) = 0.
0, 63
Find m such that -92*m**2 - 156*m - 19*m**3 - 11*m**3 - 72 + 4*m**4 + 26*m**3 = 0.
-3, -1, 6
Let y(r) = -2*r**2 + 36*r - 168. Let l(b) be the third derivative of b**3/6 - 12*b**2. Let q(d) = -6*l(d) - y(d). Let q(i) = 0. What is i?
9
Let b(h) = h**3 - 10*h**2 + 11*h - 11. Let d be b(9). Factor 28 - 24 + 4*u**2 + u + d*u.
4*(u + 1)**2
Let b = 1199 + -1199. Let b*h - 2/15*h**2 - 2/5*h**3 + 0 - 2/15*h**5 - 2/5*h**4 = 0. Calculate h.
-1, 0
Let x(k) be the third derivative of k**8/84 - k**7/105 - k**6/32 + k**5/30 - k**4/96 + 54*k**2 - k. Determine v so that x(v) = 0.
-1, 0, 1/4, 1
Let m(x) be the first derivative of -37*x**4/12 + 224*x**3/9 - 154*x**2/3 + 16*x/3 - 677. Factor m(o).
-(o - 4)*(o - 2)*(37*o - 2)/3
Let q(v) be the first derivative of v**7/70 + 5*v**2 - 18. Let x(d) be the second derivative of q(d). Factor x(r).
3*r**4
Let -4*w**3 - 246*w - 212*w - 80*w**2 + 58*w = 0. Calculate w.
-10, 0
Let z = 75 + -41. Let x(n) = z + 4*n + 4*n**2 + 17*n + 5*n - 2*n. Let u(g) = -g**2 - 5*g - 7. Let v(w) = 14*u(w) + 3*x(w). Factor v(i).
-2*(i - 2)*(i + 1)
Let a be (0 - 0) + 4 - (-13 - 10). Determine r so that -11 - 71*r**2 + 20*r**4 + 8*r + 98*r**3 + a + 227*r**2 + 80*r = 0.
-2, -1/2, -2/5
What is b in -58/13*b + 2/13*b**2 + 12 = 0?
3, 26
Let u(y) be the first derivative of -y**4/2 - 6*y**3 + y**2 + 18*y + 139. Let u(g) = 0. What is g?
-9, -1, 1
Let u(g) be the second derivative of -2/15*g**6 + 0 - 2*g**3 + 2*g + 4*g**2 + 3/5*g**5 - 1/3*g**4. Find x, given that u(x) = 0.
-1, 1, 2
Let w be (7 + (-252)/35)/((-2)/(-718)). Let a = w - -72. Factor -a*n**2 + 0 + 0*n.
-n**2/5
Let b(f) be the first derivative of 1/8*f**2 - 1/16*f**4 + 27 - 3/4*f + 1/4*f**3. Factor b(p).
-(p - 3)*(p - 1)*(p + 1)/4
Let g(y) = 100*y**3 + 715*y**2 + 925*y - 10560. Let k(v) = -9*v**3 - 65*v**2 - 84*v + 960. Let r(x) = 4*g(x) + 45*k(x). Factor r(q).
-5*(q - 3)*(q + 8)**2
Let v(w) be the first derivative of -4*w**2 + 0*w + 8/9*w**3 + 47 - 1/18*w**4. Factor v(c).
-2*c*(c - 6)**2/9
Suppose -2 + 92151*p**2 - 92147*p**2 + 2 + 24*p = 0. What is p?
-6, 0
Let y = 100 - -19. Suppose 2*u - 57 = 3*t, -2*t = 5*u - y + 5. Solve -u - 12*m - 3/2*m**2 = 0.
-4
Let g(l) be the second derivative of -l**2 + 0 + 30*l - 1/6*l**3 + 1/20*l**5 + 1/6*l**4. Factor g(i).
(i - 1)*(i + 1)*(i + 2)
Let s(i) be the third derivative of -i**8/2688 + 19*i**7/1680 + 41*i**6/960 + 7*i**5/160 + 274*i**2. Factor s(n).
-n**2*(n - 21)*(n + 1)**2/8
Let a(w) be the third derivative of 0*w**3 + 0*w**5 + 0*w - 1/30*w**6 + 16*w**2 + 1/6*w**4 + 0. Factor a(r).
-4*r*(r - 1)*(r + 1)
Find m, given that 1/3*m**2 - 23/3*m + 112/3 = 0.
7, 16
Let y(l) = 5*l**2 - 15*l + 30. Let w(z) = z**2 + z - 1. Let f(c) = -4*w(c) + y(c). Let q be f(17). Determine g so that 1/5*g**2 - 1/5*g + q = 0.
0, 1
Find u, given that 131*u**3 + 20*u**2 - 115*u**3 + 8*u**5 - 42*u**4 - 2*u**4 = 0.
-1/2, 0, 1, 5
Let x be 32/560*(0 - -340)/2. Let b = 232/21 - x. Solve 2/3 + b*h + 2/3*h**2 = 0 for h.
-1
Let j(b) = 4*b**3 + 22*b**2 + 34*b - 38. Let y(z) = z**3 + 7*z**2 + 11*z - 13. Let n = 0 + -8. Let o = n + -2. Let t(r) = o*y(r) + 3*j(r). Factor t(a).
2*(a - 2)**2*(a + 2)
Let w(g) = -g**3 + 5*g**2 - 66*g + 250. Let v be w(4). Let 3/5 + 6/5*d**v - 9/5*d - 9/5*d**4 + 6/5*d**3 + 3/5*d**5 = 0. What is d?
-1, 1
Let x(d) = -d**3 + 2*d**2 + 5*d - 3. Let u be x(3). What is b in 5*b**u - b + 5 - 29*b**2 + 16*b + 44*b**2 + 0*b = 0?
-1
Find c such that -8*c - 2*c - 5*c**2 + 20268*c**3 + 5 - 20258*c**3 = 0.
-1, 1/2, 1
Let k be 2/(-7) - 6/(-21). Suppose 5*j - 25 = k, -l + 3*l = 3*j - 9. Factor 0 - 4/9*t + 2/3*t**2 - 2/9*t**l.
-2*t*(t - 2)*(t - 1)/9
Let c(x) = -6*x. Let g(p) = 2*p**2 - 16*p. Let m(j) = -4*c(j) - g(j). Factor m(v).
-2*v*(v - 20)
Suppose 0*w = -3*w - 5*i - 15, 3*i = 5*w + 59. Let a = w - -22. Factor -4*p**5 + p - p - 8*p**3 - a*p**4.
-4*p**3*(p + 1)*(p + 2)
Let g(k) = -2*k**4 - k - 2. Let v(f) = 55*f**4 - 85*f**3 + 255*f**2 + 110*f - 210. Let u(s) = 25*g(s) + v(s). Let u(h) = 0. Calculate h.
-1, 1, 4, 13
Let m(j) = -12*j**3 + 128*j**2 - 120*j + 4. Let i(k) = 2*k**3 - k**2 - 1. Let l(s) = -4*i(s) - m(s). Suppose l(w) = 0. Calculate w.
0, 1, 30
Factor 4/5*x**4 - 8/5*x**2 + 0 + 4/5*x**3 + 0*x.
4*x**2*(x - 1)*(x + 2)/5
Let a(y) be the third derivative of 0 - 6*y**2 - 1/57*y**3 - 1/190*y**5 + 1/1140*y**6 + 0*y + 1/76*y**4. Factor a(z).
2*(z - 1)**3/19
Let d = 1/51 + 49/102. Let p(n) be the first derivative of -d*n**2 + 4/3*n**3 + 0*n + 8 - 3/4*n**4. Factor p(x).
-x*(x - 1)*(3*x - 1)
Let p(k) be the second derivative of -k**5/180 + k**3/18 + k**2 + 14*k. Let h(v) be the first derivative of p(v). Solve h(f) = 0 for f.
-1, 1
Let d(i) be the second derivative of 1/20*i**5 + 5/2*i**2 + 0 - 1/20*i**6 + 5*i + 0*i**4 + 0*i**3. Let j(u) be the first derivative of d(u). Factor j(y).
-3*y**2*(2*y - 1)
Let q = 37 - 33. Find n such that -2*n**2 + 9*n + q - 18*n + 7*n = 0.
-2, 1
Let w(t) be the second derivative of 1/4*t**4 - 9/2*t**2 + 0 + 13*t - t**3. Factor w(a).
3*(a - 3)*(a + 1)
Suppose -19*v - 60*v**2 + 19*v + 58*v**2 + 38*v - 96 = 0. What is v?
3, 16
Let f(z) = -z**2 - 4*z + 5. Let w be (-3)/((-15)/12 - -2). Let y be f(w). Factor 15*d**2 + y*d**3 + 4*d + 4*d + 10*d**3 + 5*d**4 - 3*d.
5*d*(d + 1)**3
Let h = -28572 - -28575. Suppose -3/5*k**4 - 6/5 - 3/5*k + 9/5*k**2 + 3/5*k**h = 0. What is k?
-1, 1, 2
Let n(v) be the second derivative of -v**6/210 - 3*v**5/70 - v**4/7 - 5*v**3/21 - 3*v**2/14 - 225*v - 1. Factor n(g).
-(g + 1)**3*(g + 3)/7
Suppose 19*u - 90 + 6 = -2*u. Let -16/15*o + 8/15*o**2 + 4/15*o**3 + 0 - 2/15*o**u = 0. What is o?
-2, 0, 2
Let 10800*y**4 - 155 + 1532*y - 8572*y**2 - 241 + 13464*y**3 + 308 + 864*y**5 = 0. Calculate y.
-11, -2, 1/6
Let b(d) = -d**2 + 15*d - 3. Let g be b(12). Factor -12*p**2 - 12 + g*p**2 + 24*p + 4*p**3 + 3*p**3 - 22*p**3.
-3*(p - 2)*(p + 1)*(5*p - 2)
Suppose 105*p + 15 = 3*o + 102*p, 4*o + 4*p = -20. Solve 0 - 1/3*l**2 + 1/3