pose i(c) = 0. Calculate c.
-4, 13
Let w(l) be the second derivative of -3*l**5/100 + 7*l**4/20 - 3*l**3/5 + 2*l + 60. Factor w(a).
-3*a*(a - 6)*(a - 1)/5
Let 0 + 232/11*z + 120/11*z**2 + 2/11*z**3 = 0. What is z?
-58, -2, 0
Let u(x) be the second derivative of -3*x**5/32 + 7*x**4/32 - x**3/8 + x + 10. Let u(p) = 0. Calculate p.
0, 2/5, 1
Let a(q) be the first derivative of -10*q**6/3 + q**5 + 10*q**4 - 10*q**3/3 - 10*q**2 + 5*q - 51. Determine v so that a(v) = 0.
-1, 1/4, 1
Let p(f) = 24*f**3 - 101*f**2 + 97*f - 31. Let v(u) = -5*u**3 + 20*u**2 - 19*u + 6. Let o(l) = -6*p(l) - 33*v(l). Suppose o(r) = 0. Calculate r.
4/7, 1
Suppose -2*h + 24*l = 21*l, -7*h + 2*l + 17 = 0. Let 3/2*a**4 - 12 + 9*a**2 + 6*a - 15/2*a**h = 0. Calculate a.
-1, 2
Let s = -4/35 + 11/84. Let q(u) be the third derivative of 0*u + s*u**5 - 1/24*u**4 - 4*u**2 + 0 + 0*u**3. Let q(k) = 0. Calculate k.
0, 1
Let h(l) = 18*l**2 + 51*l - 6. Let u be h(-3). Let -4/5*c**2 - 2/5*c + 1/5 + 3/5*c**4 + 2/5*c**u = 0. What is c?
-1, 1/3, 1
Let s = 11825 - 35474/3. Factor -1/3*t**2 + 0 + 0*t - s*t**3.
-t**2*(t + 1)/3
Let t = -265 + 267. Let u be (235/75 - t) + (-8)/10. Factor -1/3*r**4 - 1/3*r + 1/3*r**3 + u*r**2 + 0.
-r*(r - 1)**2*(r + 1)/3
Let d(s) be the first derivative of -2*s**7/21 + 2*s**6/5 - 3*s**5/5 + s**4/3 - 11*s - 16. Let m(p) be the first derivative of d(p). Solve m(x) = 0 for x.
0, 1
Suppose -257*t + 260*t = -3. Let n be ((-33)/15 - t)/(24/(-30)). Find f such that 0*f + 3/2*f**2 - n*f**3 + 0 + 3/2*f**5 - 3/2*f**4 = 0.
-1, 0, 1
Let r be 1/(-3 - 0)*-9. Solve 5*j**3 + 3*j**2 - 3*j**4 - 10*j**r + 2*j**3 + 3*j = 0 for j.
-1, 0, 1
Let t(g) be the second derivative of -g**8/1680 + g**7/840 + 3*g**3 - 21*g. Let d(s) be the second derivative of t(s). Factor d(k).
-k**3*(k - 1)
Let q(z) = -150*z - 54. Let c be q(-1). Solve -120*n**4 + 75/2*n**5 + 36*n**3 + c*n**2 + 24*n + 0 = 0.
-2/5, 0, 2
Suppose -3/7*z**3 + 3*z - 6/7*z**2 - 12/7 = 0. What is z?
-4, 1
Let k(h) be the first derivative of -5*h**4/4 - 740*h**3/3 + 1495*h**2/2 - 750*h + 772. Solve k(r) = 0.
-150, 1
Solve 148 - 18 - 125*q - 2525*q**2 + 2520*q**2 = 0 for q.
-26, 1
Suppose -5*n + y = -152, -3*n + 31 = y - 57. Solve -14*s**2 - 16*s**3 + 19*s**3 - n*s - 13*s**2 = 0.
-1, 0, 10
Let f(i) be the second derivative of i**4/66 + i**3/33 + 2*i - 10. Factor f(d).
2*d*(d + 1)/11
Let n(x) be the first derivative of -4*x**5/5 + x**4 + 40*x**3/3 + 16*x**2 + 172. Determine s, given that n(s) = 0.
-2, -1, 0, 4
Let t(z) be the second derivative of 0*z**2 + 0*z**3 + 7*z - 1/12*z**4 - 1/80*z**5 + 0. Factor t(q).
-q**2*(q + 4)/4
Let w(o) be the third derivative of o**6/100 + 2*o**5/25 - o**4/4 + 6*o**2 - 6*o. Solve w(i) = 0 for i.
-5, 0, 1
Let x(m) = -m**3 - 4*m**2 + 5*m. Let f be x(-5). Suppose 0 = y + y + n - 3, -4*y + n + 21 = f. Factor 0 - 10/3*k**3 - 2/3*k**5 + 0*k - 4/3*k**2 - 8/3*k**y.
-2*k**2*(k + 1)**2*(k + 2)/3
Let c = 1 + 1. Factor -3*f**2 + 3 + 2*f + f**2 - 5 - c*f**3 + 4*f**2.
-2*(f - 1)**2*(f + 1)
Let d(s) be the third derivative of -256/105*s**7 - 1/24*s**4 - 2/5*s**5 + 0*s**3 + 0*s - 25*s**2 + 0 - 8/5*s**6. Determine n, given that d(n) = 0.
-1/8, 0
Let f = -14 + 18. Suppose 12*m - 3*m**f - 84*m**3 + 78*m**3 + 9*m**2 - 13 + 1 = 0. What is m?
-2, 1
Suppose -2*w + 6 = 2*l - 4, 2*l + 5*w = 19. Factor -21*c + 5*c + 3*c**l - 16 - 6*c**2 - c**2.
-4*(c + 2)**2
Suppose 5*t + 47 = g, -282*t - 29 = -g - 279*t. Suppose 2/3*o**g + 0 + 4/3*o + 10/3*o**4 - 16/3*o**3 = 0. Calculate o.
-2/5, 0, 1
Let h = 418 + -224. Factor 80*w**3 + 73*w**2 + 317*w**2 + 5*w**4 + 549*w + 51 + h + 11*w.
5*(w + 1)**2*(w + 7)**2
Let i = -4592/33 - -9481/66. Let y = 5 + 10. Factor 9/2*h**2 + i - y*h.
3*(h - 3)*(3*h - 1)/2
Let r(q) = -3*q**2 - 2*q - 1. Let t(y) = -3*y**3 - 6*y**2 - 20*y + 5. Let a(c) = -5*r(c) - t(c). Solve a(j) = 0.
-5, -2, 0
Factor 882/11*v + 86/11*v**3 + 2/11*v**4 + 0 + 966/11*v**2.
2*v*(v + 1)*(v + 21)**2/11
Factor -668*f**3 + 64561*f**2 - 7815*f**4 - 812*f**3 + 7820*f**4 + 44959*f**2.
5*f**2*(f - 148)**2
Suppose -5*o + 24 = -4*p, -4*p = 376*o - 375*o + 24. Factor -5/3*m**3 + 0*m + o + 1/3*m**4 + 0*m**2.
m**3*(m - 5)/3
Let f(p) = -p**2. Let n(o) = -7*o**2 + 62*o + 32. Let m(u) = 6*f(u) - 2*n(u). Factor m(x).
4*(x - 16)*(2*x + 1)
Let u(a) be the first derivative of -2*a**3 - 1/180*a**5 + 0*a**4 + 0*a + 0*a**2 + 1/1080*a**6 + 3. Let s(d) be the third derivative of u(d). Factor s(h).
h*(h - 2)/3
Let z(b) be the first derivative of -3/2*b**2 - 1/3*b**3 + 4*b - 1. What is n in z(n) = 0?
-4, 1
Suppose 0 = -3*o + n - 3 + 4, 3*n - 15 = 0. Factor 7 - 2*h**3 + 3*h**o - 15 - 13*h**2 - 16*h.
-2*(h + 1)*(h + 2)**2
Let c = -152 + 151. Let s be 0/(3 + c + -1). What is f in s*f**4 - 4/9*f**2 - 8/9*f**3 + 2/3*f + 4/9 + 2/9*f**5 = 0?
-1, 1, 2
Let i(h) be the third derivative of -h**6/90 - 2*h**5/45 + 2*h**4/9 + 16*h**3/9 + 138*h**2 - 2. Factor i(m).
-4*(m - 2)*(m + 2)**2/3
Let s(q) be the second derivative of -q**7/14 - q**6/5 + 27*q**5/20 + q**4/2 - 4*q**3 - 54*q. Find n such that s(n) = 0.
-4, -1, 0, 1, 2
Suppose 0*z = -7*z - 238. Let c be 4 + z/(-18)*-2. Factor 0 + 2/3*k - c*k**2.
-2*k*(k - 3)/9
Let i = 100 - 92. Let t(r) be the first derivative of i*r + 4/3*r**3 + 4 - 6*r**2. Factor t(a).
4*(a - 2)*(a - 1)
Let -3*f**2 - 8*f**4 + 27*f**3 - 19*f**3 + 0*f**2 - 10*f + 4 + 9*f**2 - 2*f**2 + 2*f**5 = 0. What is f?
-1, 1, 2
Suppose -2*x + 4*x - 5*h + 16 = 0, 4*x - 2*h = 0. What is d in -2*d**4 + 5*d**x + 2*d**2 + 3*d - 3*d**5 - d**2 - 4*d**4 = 0?
-1, 0, 1
Factor 2*r**2 - 2042 - 666 + 1260 - 4*r**2 - 180*r - 2602.
-2*(r + 45)**2
What is c in 0 + 0*c - 40/3*c**2 - 1/3*c**3 = 0?
-40, 0
Let p(t) be the first derivative of 2*t**4 - 4/5*t**5 + 4/3*t**3 - 1/3*t**6 - 3*t**2 + 13 + 0*t. Find m, given that p(m) = 0.
-3, -1, 0, 1
Let i be ((-133)/(-9))/(1357/138). Let o = -10/59 + i. Factor -20/3*d**2 - 16/3 - 32/3*d - o*d**3.
-4*(d + 1)*(d + 2)**2/3
Let -4*q**4 + q**4 + 10*q**4 - 10*q**4 - 27*q + 27*q**2 + 3*q**3 = 0. What is q?
-3, 0, 1, 3
Suppose 0 = j + 4*l - 7*l - 2, 2*j - 4*l = -2. Let f be (-4)/j*(-35)/(-25). Find h, given that 2/5 - f*h + 2/5*h**2 = 0.
1
Let c(f) be the third derivative of 7*f**6/720 + f**5/6 - 3*f**4/16 + 20*f**2. Solve c(h) = 0.
-9, 0, 3/7
Let w be (1/2)/((-8)/(-48)). Factor 433*k**4 + 41*k - 45 - 427*k**4 + 7*k + 126*k**2 + 52*k**w + 13.
2*(k + 1)*(k + 4)**2*(3*k - 1)
Factor 232*x**3 - 464*x**3 - 2*x**2 + 2*x**4 + 230*x**3 + 2*x.
2*x*(x - 1)**2*(x + 1)
Let c be -2*3/6 + -12 + -1. Let m be -4*(c/36 - 10/(-30)). Find s such that -m*s + 0 - 2/9*s**3 + 4/9*s**2 = 0.
0, 1
Let t be ((-54)/15)/((-6)/20). Suppose t*a - 14*a = -4. Let 3*k - 9 + 0*k**2 - 3*k**3 - 2*k**a + 11 = 0. Calculate k.
-1, -2/3, 1
Let z(i) be the third derivative of -i**5/75 + 19*i**4/15 - 722*i**3/15 + 3*i**2 + 2*i. Let z(b) = 0. Calculate b.
19
Let d(r) be the first derivative of -5*r**5 - 1250/3*r**3 - 1/6*r**6 - 3125/2*r**2 - 3125*r - 19 - 125/2*r**4. Factor d(a).
-(a + 5)**5
Suppose 5*t - 3*n = 154, t + 2*t = 4*n + 88. Let j = t + -30. Factor 2/11*w**3 + 6/11*w + 10/11*w**j - 18/11.
2*(w - 1)*(w + 3)**2/11
Factor -1 + 1 - 20*h + 253*h**2 + 4*h**3 + 0 - 269*h**2.
4*h*(h - 5)*(h + 1)
Let y(q) be the first derivative of q**5/25 + 9*q**4/20 + 29*q**3/15 + 39*q**2/10 + 18*q/5 - 140. Suppose y(a) = 0. What is a?
-3, -2, -1
Let u(s) be the first derivative of -2*s**5/25 + 4*s**4 - 76*s**3/5 + 112*s**2/5 - 74*s/5 - 576. Solve u(v) = 0 for v.
1, 37
Let w(y) be the second derivative of 2*y**5/25 + 23*y**4/30 - 169*y. Factor w(i).
2*i**2*(4*i + 23)/5
Let s(p) be the third derivative of 25*p**2 + 4/3*p**3 + 1/15*p**6 + 7/6*p**4 - 4/105*p**7 + 0*p + 8/15*p**5 - 1/84*p**8 + 0. Factor s(a).
-4*(a - 2)*(a + 1)**4
Let h(b) be the second derivative of b**5/90 - 5*b**4/18 + 16*b**3/9 + 64*b**2/9 - 22*b - 4. Factor h(i).
2*(i - 8)**2*(i + 1)/9
Suppose 5*h + 10 = -5*f, h + 42 = f + 50. What is d in -5/3*d**h - 10 - 40/3*d**2 - 65/3*d = 0?
-6, -1
Let u = 19572 + -19569. Determine g, given that -7/3*g**u + 19/3*g**2 + 2*g + 0 = 0.
-2/7, 0, 3
Let q be (4/(-11))/(2/(-11)). Suppose 0*u = 3*u - q*u. Solve -2/3*s**4 + 0*s + 0 + 2/3*s**3 + u*s**2 = 0.
0, 1
Factor -20*m**2 - 11*m + 16*m**2 - 5*m + 0*m.
-4*m*(m + 4)
Suppose 0 = 18*n - 8*n + 47*n + 18*n. Let -1/4*h**5 - 13/4*h**3 + n - 3/2*h**4 - 3*h**2 - 