rivative of x**5/60 - 127*x**4/36 - 260*x**3/9 - 262*x**2/3 + 19*x + 35. Factor k(g).
(g - 131)*(g + 2)**2/3
Let h(n) = -4*n**3 - 10*n**2 + 12*n + 24. Let b(i) = -5*i**3 - 11*i**2 + 11*i + 26. Let l(w) = 4*b(w) - 6*h(w). Let l(p) = 0. Calculate p.
-5, -1, 2
Let d be ((-26)/(-6))/(1 - (2 + 243/(-225))). Suppose -125/6 - 145/3*t**2 - 1/6*t**5 - d*t - 53/3*t**3 - 17/6*t**4 = 0. What is t?
-5, -1
Let t(f) be the third derivative of 2197*f**7/945 - 1183*f**6/90 + 52*f**5/9 - 59*f**4/54 + f**3/9 + 422*f**2. Let t(h) = 0. What is h?
1/13, 3
Let r = 19017/3962 + -594/1981. Suppose 9/2*v**3 - 3/2 - r*v - 15/8*v**2 + 27/8*v**4 = 0. What is v?
-1, -2/3, 1
Suppose 30*z = -533 - 727. Let h be 3 + (-3)/(z/301). Factor -h + 7*y - 1/2*y**2.
-(y - 7)**2/2
Let c(m) be the first derivative of -m**3/7 - 21*m**2/2 - 661. What is v in c(v) = 0?
-49, 0
Let k be (-1)/5 - (-3 + (-9)/(-5)). Suppose -2*o + 3 + k = 0. Find n, given that -3 + 2*n**3 + 92*n**o + 7*n + 1 - 99*n**2 = 0.
1/2, 1, 2
Let a be 5/(165/6) - 18/(-22). Let q be (4/3 - a)*(-1 - -7). Let 18*p**3 + 9*p**4 - 30*p**3 - 21*p**3 - 12*p + 36*p**q = 0. What is p?
0, 2/3, 1, 2
Let p(c) = 34*c + 1. Let b be p(-1). Let h = b + 47. Find o, given that -4*o**4 + 123*o**2 + h*o + 6*o**3 - 4 + 4*o**3 + 2*o**4 - 141*o**2 = 0.
1, 2
Let q(s) be the third derivative of 40/3*s**3 + 1/30*s**6 + 4*s**4 + 72*s**2 + 3/5*s**5 + 0*s + 0. Suppose q(z) = 0. What is z?
-5, -2
Let a(q) be the first derivative of -3*q**4/8 - 749*q**3/18 - 83*q**2/6 - 1440. Find i such that a(i) = 0.
-83, -2/9, 0
Let v(h) be the first derivative of -h**5/15 + 5*h**3/3 + 5*h**2/3 - 8*h + 5841. Let v(n) = 0. Calculate n.
-3, -2, 1, 4
Let c(h) be the third derivative of h**6/900 - 14*h**5/75 + 196*h**4/15 + 20*h**3 - 85*h**2. Let z(x) be the first derivative of c(x). Factor z(v).
2*(v - 28)**2/5
Let l be 5*(4 - 1/(-15)*3). Let a(v) = -9*v**3 + 72*v**2 + 129*v - 21. Let m(q) = 2*q**3 - 18*q**2 - 32*q + 5. Let w(b) = l*m(b) + 5*a(b). Factor w(x).
-3*x*(x + 3)**2
Suppose 1800 + 3*f**3 + 1820/3*f - 142*f**2 + 1/3*f**4 = 0. What is f?
-27, -2, 10
Solve 1/7*o**2 + 196249/7 - 886/7*o = 0.
443
Let z be 3 - (-9 - -7 - 6/(-3)). Factor 48*h**4 + 2*h**5 - 8*h**z + 16*h**2 - 19*h**4 - 33*h**4.
2*h**2*(h - 2)**2*(h + 2)
Let u(p) be the third derivative of -p**5/510 - 11*p**4/51 - 65*p**3/17 + 85*p**2 + 8. Let u(l) = 0. What is l?
-39, -5
Suppose 45*z - 7*z - 124 = 7*z. Let m(u) be the first derivative of 0*u**2 + 8 + 0*u + 1/8*u**z + 1/3*u**3. Factor m(g).
g**2*(g + 2)/2
Let d = -3631 - -3647. Let a(j) be the second derivative of 1/50*j**5 + 0 - d*j + 0*j**3 + 0*j**2 + 1/30*j**4. Factor a(z).
2*z**2*(z + 1)/5
Determine o so that -245*o**3 - 20*o - o**2 + 229*o**3 + 35*o**2 + 50*o**2 = 0.
0, 1/4, 5
Let s(y) = -y**2 - 24*y + 3. Let k be s(-24). Let w be (-1 + k)*(-52 - -53). Suppose 16/5 - 2/5*g**3 + 34*g**4 - 56/5*g**5 + 8/5*g - 236/5*g**w = 0. What is g?
-1, -1/4, 2/7, 2
Let q(z) be the third derivative of z**5/20 + 57*z**4/8 + 301*z**3 + 2*z**2 + 37*z + 9. Suppose q(t) = 0. Calculate t.
-43, -14
Suppose 0 = -48*o - 8177 + 18545. Let j(h) be the first derivative of -6*h**3 - o*h + 1/4*h**4 + 33 + 54*h**2. Factor j(x).
(x - 6)**3
Suppose -5 = -5*u + 5*n, -4*u - 4 = -0*u + 4*n. Suppose u = 8*m - 28 + 4. Determine g, given that -2*g + 70 - 67 + m*g**4 + 18*g**3 - 6*g**2 - 7*g - 9*g**5 = 0.
-1, 1/3, 1
Suppose -3*c + 5*o = 10515, -14*o = -3*c - 12*o - 10506. Let x be c/150*(-2)/7. Solve x + 4/3*m**3 + 44/3*m + 28/3*m**2 = 0.
-5, -1
Let s(j) be the second derivative of -5*j**4/24 + 65*j**3/3 - 345*j**2 - 3248*j. Factor s(u).
-5*(u - 46)*(u - 6)/2
Suppose 28*h - 17*h**4 - 13*h + 45*h**4 - 4*h**5 + 14*h - 60*h**3 - 48 + 35*h + 20*h**2 = 0. Calculate h.
-1, 1, 2, 3
Suppose 3772*s = 3792*s - 60. Let m(r) be the first derivative of -10 + 1/2*r**4 + 0*r**5 + 0*r**2 - 1/12*r**6 + 0*r + 0*r**s. Factor m(c).
-c**3*(c - 2)*(c + 2)/2
Factor -2/9*p**3 - 28/9 - 20/9*p**2 - 46/9*p.
-2*(p + 1)*(p + 2)*(p + 7)/9
Let p = 4 + 0. Let m = 66 - 58. Factor -10*f**3 + 5*f**4 - 10*f**2 + 5*f - 3*f**5 - f**p + 5 + f**4 + m*f**5.
5*(f - 1)**2*(f + 1)**3
Let -2/5*i**5 - 336/5*i**3 + 0 + 68*i**4 + 338/5*i - 68*i**2 = 0. What is i?
-1, 0, 1, 169
Let d(w) be the first derivative of 5*w**4/4 + 405*w**3 + 78975*w**2/2 + 616005*w + 5157. Factor d(r).
5*(r + 9)*(r + 117)**2
Determine x, given that 19/6*x**3 + 77/6*x + 1/6*x**4 + 65/6*x**2 + 5 = 0.
-15, -2, -1
Suppose 2 - 29 = -13*l - 1. Factor 2/5*k**l + 2/5*k**5 + 0 + 6/5*k**4 + 0*k + 6/5*k**3.
2*k**2*(k + 1)**3/5
Let r(q) be the third derivative of -5/12*q**3 + 1/24*q**5 + 0 + 0*q + 1/48*q**4 - 1/240*q**6 + 249*q**2. Factor r(k).
-(k - 5)*(k - 1)*(k + 1)/2
Suppose -8*o - 5*o - 109*o = -3*o - 238. Factor -9/2*a**o + 45/4*a - 3/4*a**3 + 75.
-3*(a - 4)*(a + 5)**2/4
Suppose -13*n = -6*n - 7. Let k be (4/(-4))/(-1) + n. Factor 39*x + 256 - 19*x + k*x + 4*x**2 + 42*x.
4*(x + 8)**2
Let p be (-4 + -2)*15/(-18). Determine y, given that p*y**5 + 462*y**3 - 6*y**5 - 8*y**2 + 3*y - 456*y**3 = 0.
-3, 0, 1
Let m = 334 + -319. What is h in -2*h**3 - 36*h**3 + 5*h**5 + 25*h**2 - 10 + m*h + 0 + 13*h**3 + 5*h**5 - 15*h**4 = 0?
-1, 1/2, 1, 2
Let z = -3096 - -18577/6. Let w(t) be the third derivative of 0 - z*t**4 - 1/30*t**5 + 13*t**2 + 0*t + 0*t**3. Let w(y) = 0. What is y?
-2, 0
Let g = 2342/4947 - 231/1649. Suppose 4/3*l + g*l**2 - 4 = 0. Calculate l.
-6, 2
Factor 49*s**4 - 1387*s**3 - 1427*s**3 + 2754*s**3 + 46*s**4 - 25*s**5.
-5*s**3*(s - 3)*(5*s - 4)
Let h = -1003 + 872. Let d be ((-165)/15)/88 - h/24. Let 4/3*r + d - 2/3*r**2 = 0. What is r?
-2, 4
Let x be 99/1 + (598 - 622). Factor 10*d + 1/3*d**2 + x.
(d + 15)**2/3
Let f(d) be the second derivative of 71/42*d**4 + 40/21*d**3 - 1/147*d**7 + 6 - 100/7*d**2 + 4*d + 13/105*d**6 - 11/14*d**5. Solve f(r) = 0.
-1, 2, 5
Let u(d) be the first derivative of 169 + 0*d + 1/22*d**4 + 81/11*d**2 - 12/11*d**3. Factor u(l).
2*l*(l - 9)**2/11
Suppose -6*l + 73 = 49. Factor -6*u**3 + 42*u**2 - 10 + 64*u + 42 + 17*u**3 + u**l.
(u + 1)*(u + 2)*(u + 4)**2
Factor -291846/11*f - 1526/11*f**2 - 290322/11 - 2/11*f**3.
-2*(f + 1)*(f + 381)**2/11
Let g(t) be the third derivative of t**9/211680 - t**8/35280 - t**7/5880 + 61*t**5/60 - 14*t**2. Let r(f) be the third derivative of g(f). Factor r(l).
2*l*(l - 3)*(l + 1)/7
Let p(d) be the second derivative of 9/28*d**7 + 3*d**6 + 33/4*d**3 + 12*d**4 + 3*d**2 + 143*d + 0 + 177/20*d**5. Determine z so that p(z) = 0.
-4, -1, -1/3
Let v(h) = 3*h**2 + h + 1. Let u(y) = 34*y**2 - 34*y + 97. Let b(f) = -2*u(f) + 22*v(f). Factor b(g).
-2*(g - 43)*(g - 2)
Suppose -2*r = -4*v - 32, 5*r = -2*v - 3*v + 5. Factor 2*u + r*u + 6*u**2 - 15*u + 3 + u - 3*u**2.
3*(u - 1)**2
Let k(j) be the second derivative of -392/9*j**3 - 4/3*j**6 + 28 + j - 140/3*j**4 - 253/15*j**5 + 0*j**2 - 2/63*j**7. Find m such that k(m) = 0.
-14, -1, 0
Let g(l) be the first derivative of 18/5*l**5 + 29 + 37*l**2 - 118/3*l**3 - 12*l + 3/2*l**4. Factor g(x).
2*(x - 2)*(x + 3)*(3*x - 1)**2
Let z = 2885/7 - 412. Let b(c) = -c**2 + 15*c - 41. Let x be b(4). Determine o so that 0 + 5/7*o**2 + 3/7*o + z*o**x - 1/7*o**4 = 0.
-1, 0, 3
Let o(h) be the second derivative of -h**5/90 + h**4/4 - 8*h**3/9 - 117*h**2/2 + 2*h + 21. Let s(j) be the first derivative of o(j). Find x such that s(x) = 0.
1, 8
Let b(x) be the first derivative of -3*x**5/20 + x**4/2 + 7*x**3/2 + 6*x**2 + 218*x - 3. Let f(j) be the first derivative of b(j). Factor f(d).
-3*(d - 4)*(d + 1)**2
Factor -800*g**2 - 1661*g + 1121*g - 250*g**3 - 5*g**3 + 5*g**4.
5*g*(g - 54)*(g + 1)*(g + 2)
Let b = 446 - 409. Factor 5*m**2 + 19*m - 175 + 19*m + b*m + 5.
5*(m - 2)*(m + 17)
Let k(r) be the first derivative of 15*r**3 + r**5 + 0*r + 61 + 0*r**2 - 25/2*r**4. Determine x so that k(x) = 0.
0, 1, 9
Let a(v) be the first derivative of -3200*v + 4640*v**2 - 6248/3*v**3 + 118 - 18/5*v**5 - 174*v**4. Factor a(k).
-2*(k + 20)**2*(3*k - 2)**2
Let g(n) be the first derivative of n**3/3 - 1325*n**2/8 + 331*n/4 - 3433. Factor g(l).
(l - 331)*(4*l - 1)/4
Let w(g) be the first derivative of -g**5/10 - 13*g**4/4 + 55*g**3/6 - 7*g**2 + 6696. Find q such that w(q) = 0.
-28, 0, 1
Let o(h) be the first derivative of -5*h**6/2 - 442*h**5 - 725*h**4/4 + 490*h**3 + 1459. What is s in o(s) = 0?
-147, -1, 0, 2