*2 + 10404*u + 187. Suppose f(z) = 0. What is z?
-51
Factor 4890*i**2 + 72*i**3 - 9796*i**2 + 52*i**3 + 4894*i**2.
4*i**2*(31*i - 3)
Let z(w) be the third derivative of -w**8/84 - 2*w**7/105 + w**6/15 + 3*w**2 - 2*w. Factor z(m).
-4*m**3*(m - 1)*(m + 2)
Let g = -380 + 578. Let m = g - 195. Factor 2/7*i**4 + 6/7*i**m + 0*i + 4/7*i**2 + 0.
2*i**2*(i + 1)*(i + 2)/7
Let i be (-18)/3 - 676/(-104). Factor -2*j**4 + i*j**3 - 4 + 5*j**2 - 2*j + 1/2*j**5.
(j - 2)**3*(j + 1)**2/2
Determine a so that -15*a**3 - 380*a**2 + 111*a**4 - 81*a**5 + 106*a**4 - 87*a**4 + 86*a**5 + 260*a = 0.
-26, -2, 0, 1
Let w = 377/3 - 125. Let i(d) be the third derivative of w*d**3 + 0*d + 1/6*d**5 + d**2 - 7/12*d**4 + 0. What is y in i(y) = 0?
2/5, 1
Let q(r) be the third derivative of -r**5/20 - r**4/2 - 3*r**3/2 - 227*r**2 - 1. Factor q(u).
-3*(u + 1)*(u + 3)
Let p(w) be the first derivative of -33 + 7/5*w**2 - 4/15*w**3 + 8/5*w. Factor p(g).
-2*(g - 4)*(2*g + 1)/5
Let s(t) = t - 18. Let x be s(10). Let k = x - -11. Factor -5 + 11 + 0*l**3 + 4*l - 4*l**2 - 2 - 4*l**k.
-4*(l - 1)*(l + 1)**2
What is y in 128 + 163*y**2 + 247*y**2 + 48*y**2 - 212*y**3 - 4*y**5 - 34*y**2 - 384*y + 48*y**4 = 0?
1, 2, 4
Let y(v) be the first derivative of v**6/240 - v**5/120 + 2*v**2 + 7. Let c(u) be the second derivative of y(u). Suppose c(s) = 0. What is s?
0, 1
Let i(p) be the second derivative of -p**5/5 + 37*p**4/12 - 41*p**3/6 + 4*p**2 + 150*p. Find d, given that i(d) = 0.
1/4, 1, 8
Let s(q) be the third derivative of q**5/240 + 53*q**4/48 + 35*q**3/8 - q**2 - 6*q. Factor s(y).
(y + 1)*(y + 105)/4
Let w be (-2)/(-3)*100/(-32). Let s = w + 11/4. Factor 2/3 + 2*z + s*z**3 + 2*z**2.
2*(z + 1)**3/3
Let z(h) be the first derivative of -h**5/30 + 5*h**4/6 - 25*h**3/3 + 10*h**2 + 19. Let n(s) be the second derivative of z(s). Factor n(m).
-2*(m - 5)**2
Let f(h) be the first derivative of -2*h - h**4 + 1/6*h**6 + 2/3*h**3 + 3/2*h**2 + 0*h**5 + 9. Factor f(y).
(y - 1)**3*(y + 1)*(y + 2)
Let p = 68 - -67. Let h = p - 667/5. Let 0 - 2/5*g**2 + h*g = 0. Calculate g.
0, 4
Let z = 11 + -60. Let y be 1/(-5) + (2 - z/(-105)). Factor -y*l + 2/3*l**2 + 2/3.
2*(l - 1)**2/3
Find r, given that 32/3*r**2 - 74/3*r + 20/3*r**4 - 52/3 - 2/3*r**5 + 76/3*r**3 = 0.
-2, -1, 1, 13
Let n(h) be the second derivative of h**6/30 - 7*h**5/20 + 5*h**4/12 + 7*h**3/6 - 3*h**2 - 3*h + 2. Solve n(a) = 0.
-1, 1, 6
Suppose 42*v = 66*v - 48. Factor -4 + 24/5*d - 4/5*d**v.
-4*(d - 5)*(d - 1)/5
Let i(s) = s**3 + 51*s**2 + 637*s + 214. Let z be i(-30). Factor 0 + 1/12*f**z - 1/6*f**2 + 0*f - 1/12*f**3.
f**2*(f - 2)*(f + 1)/12
Let u be (1 + 14/(-6))*(-27)/18. Find v, given that 2/3*v**u - 4/3 + 2/3*v = 0.
-2, 1
Let y(g) be the first derivative of -g**4/2 - 4*g**3/3 + 8*g**2 + 498. Determine p, given that y(p) = 0.
-4, 0, 2
Let v(d) be the third derivative of -d**5/140 - d**4/7 - 15*d**3/14 - 384*d**2. Factor v(y).
-3*(y + 3)*(y + 5)/7
Suppose -2*q + 6 = 4*k, 2 = -2*q - 4. Factor 0 - k*z**2 - 1/2*z**3 - 9/2*z.
-z*(z + 3)**2/2
Let 80/3*c**3 - 24*c**2 + 2/3*c**5 + 0 - 26/3*c**4 + 0*c = 0. What is c?
0, 2, 9
Suppose -x = -4, -4*r - x + 452 = 4*x. Let k = r - 106. Find t, given that 0*t + 2/3*t**k + 0 - 2/3*t**5 + 2*t**4 - 2*t**3 = 0.
0, 1
Let o(i) be the first derivative of 4*i**3/3 - 4*i**2 + 84. Factor o(a).
4*a*(a - 2)
Let r be (-3 - 0) + (-54 - 3). Let x be (-8)/r - (-276)/630. Let x*q**2 + 4/7 - 8/7*q = 0. What is q?
1
Let s be 8/2*(48/36)/4. Find v such that -20/3*v + 6*v**2 - s*v**3 + 2 = 0.
1/2, 1, 3
Let d(h) be the first derivative of 1/40*h**6 + 0*h - 2/3*h**3 + 11/2*h**2 - 6 - 1/3*h**4 - 1/60*h**5. Let u(m) be the second derivative of d(m). Factor u(s).
(s - 2)*(s + 1)*(3*s + 2)
Factor -7/4 - 1/4*l**3 - 5/4*l**2 + 13/4*l.
-(l - 1)**2*(l + 7)/4
Let q(k) = -k**4 + k**3 - k**2 - 1. Let c(v) = -6*v**4 - 8*v**3 - 40*v**2 + 49*v - 5. Let f(l) = -3*c(l) + 15*q(l). What is m in f(m) = 0?
-7, 0, 1
Let b(p) be the first derivative of 0*p - 8 - 1/6*p**4 + 0*p**2 + 0*p**3. Suppose b(y) = 0. Calculate y.
0
Solve -1/4*x**2 + 1/8*x**3 + 25 - 55/8*x = 0 for x.
-8, 5
Let q(p) be the third derivative of -49*p**6/900 + 371*p**5/450 - 10*p**4/9 + 28*p**3/45 - 388*p**2. Let q(h) = 0. Calculate h.
2/7, 7
Let p(w) = -8*w**4 - 4*w**2 + 4*w + 4. Let k(n) = 65*n**5 - 5*n - 64*n**5 + 0*n**2 + n**3 + 8*n**4 + 5*n**2 - 5. Let s(b) = 4*k(b) + 5*p(b). Factor s(r).
4*r**3*(r - 1)**2
Factor 7*w**4 - 21*w**4 + 16*w + 36*w**3 + 218*w**5 - 40*w**2 - 216*w**5.
2*w*(w - 2)**3*(w - 1)
Let d = -130 - -130. Let u(z) be the third derivative of 0*z + 0 + d*z**4 + 0*z**3 + 1/630*z**7 + 2*z**2 - 1/120*z**6 + 1/90*z**5. Factor u(b).
b**2*(b - 2)*(b - 1)/3
Let n(w) be the first derivative of 1/7*w**3 + 0*w + 21 + 3/7*w**2. What is s in n(s) = 0?
-2, 0
Let k = 88 - 131. Let w = -85/2 - k. Find s, given that w - 14*s**3 + 57/4*s**2 - 19/4*s + 4*s**4 = 0.
1/4, 1, 2
Let i(y) be the second derivative of -y**7/21 - 5*y**6/3 - 69*y**5/10 - 67*y**4/6 - 22*y**3/3 - 85*y. Suppose i(g) = 0. Calculate g.
-22, -1, 0
Let l = 324 + -324. Let j(n) be the third derivative of 1/4*n**3 + l + 0*n**4 + 7*n**2 + 0*n - 1/40*n**6 - 3/40*n**5. Find v such that j(v) = 0.
-1, 1/2
Let n be (-16)/6*6/(-68). Factor n*g**3 + 0 + 0*g**4 + 0*g**2 - 2/17*g - 2/17*g**5.
-2*g*(g - 1)**2*(g + 1)**2/17
Let d = -27 - -37. Let q be ((-2)/d)/((-146)/16 + 9). Factor -14/5*l - q*l**2 + 4/5.
-2*(l + 2)*(4*l - 1)/5
Determine w, given that -483*w**3 + 400*w**2 + 238*w**3 + 165*w + 280*w**3 = 0.
-11, -3/7, 0
Let p(a) be the second derivative of 0*a**5 + 0*a**2 + 0*a**4 - 1/84*a**7 + 47*a - 1/60*a**6 + 0*a**3 + 0. Factor p(g).
-g**4*(g + 1)/2
Let w(m) be the first derivative of -m**6/6 + 4*m**5/5 - m**4/4 - 10*m**3/3 + 2*m**2 + 8*m - 68. Determine c so that w(c) = 0.
-1, 2
Let w be 5/54*75/125. Let h(z) be the second derivative of 0*z**2 + 1/15*z**5 + w*z**4 + 0 + 0*z**3 + 3*z + 1/45*z**6. Find k, given that h(k) = 0.
-1, 0
Let u(z) = z**2 - 3*z - 10. Let h(j) = 4*j**2 - 13*j - 39. Let k(r) = 6*h(r) - 22*u(r). Factor k(w).
2*(w - 7)*(w + 1)
Let z(n) be the first derivative of 0*n + 5/2*n**2 + 10 - 5/6*n**3. Let z(o) = 0. Calculate o.
0, 2
Let b(v) = 10*v**5 - 7*v**4 - 2*v**3 + 6*v**2. Let h(n) = 9*n**5 - 7*n**4 - n**3 + 5*n**2. Let p(z) = -6*b(z) + 7*h(z). Let p(w) = 0. Calculate w.
0, 1/3, 1
Suppose 0 = -t - 4*f + 3*f + 11, -5*f = -2*t + 1. Let x be (5/60)/(28/t + -3). Factor 0 + 1/2*v**2 + x*v**4 - 1/6*v - 1/2*v**3.
v*(v - 1)**3/6
Let k(q) = q**5 - q**4 - q**2 + q - 1. Let f(u) = 3*u**5 + 11*u**4 - 14*u**3 - u**2 + u - 1. Let s(a) = -2*f(a) + 2*k(a). Factor s(w).
-4*w**3*(w - 1)*(w + 7)
Let w = 674 - 674. Solve -2/5 + 2/5*a**2 + w*a = 0.
-1, 1
Let p(k) be the third derivative of -k**8/672 - k**7/210 + k**6/120 + k**5/30 - k**4/48 - k**3/6 - 2*k**2 + 143*k. What is x in p(x) = 0?
-2, -1, 1
Let s(k) be the second derivative of -k**4/22 + 58*k**3/33 - 19*k**2/11 - 291*k. Suppose s(r) = 0. What is r?
1/3, 19
Let m(i) be the first derivative of i**3/3 + 14*i**2 - 60*i - 269. Find h such that m(h) = 0.
-30, 2
What is d in 18*d - 11*d**3 + 10*d**4 + 22*d + 3*d**5 - 62*d - 10*d**2 + 30*d = 0?
-4, -1, 0, 2/3, 1
Let w = -73 + 77. Factor -4*q**3 + 12*q + 0*q**2 + 3*q**w + 0*q**2 - 5*q**3.
3*q*(q - 2)**2*(q + 1)
Let i = 119 - 97. Find o such that 6*o**2 - 19*o**3 - 11*o + 40*o**3 - i*o**3 + 6 = 0.
1, 2, 3
What is q in 0 - 2/3*q**2 + 0*q + 1/3*q**3 = 0?
0, 2
Suppose 5*s - 8 = -3*o, 0*s - 2*o + 8 = 4*s. Let a(f) = 28*f + 68. Let h(n) = n**2 - 27*n - 69. Let r(x) = s*h(x) + 5*a(x). Factor r(q).
4*(q + 4)**2
Let y = -1090 + 1092. Solve -8/19*f - 8/19 - 2/19*f**y = 0 for f.
-2
Factor 15/8*v**2 + 3/8*v**4 - 3/4*v + 0 - 3/2*v**3.
3*v*(v - 2)*(v - 1)**2/8
Let b(z) be the third derivative of -z**6/6 - 112*z**5/15 + 71*z**4/6 + 92*z**3/3 + 110*z**2. Determine d, given that b(d) = 0.
-23, -2/5, 1
Let q be 195/30 + (-126)/28. Suppose 4/3*n**3 - 8/3*n**q - 20/3*n + 8 = 0. Calculate n.
-2, 1, 3
Suppose -12 + 32 = 5*l. Let i be 14/l*(13/(-5) - -3). Let i*d**4 - 9/5*d - d**2 - 2/5 + 9/5*d**3 = 0. Calculate d.
-1, -2/7, 1
Suppose 341*s**2 + 2187 + 162*s - 179*s**2 - 159*s**2 = 0. What is s?
-27
Suppose 3*r - 1 + 5 = -4*b, -2*r + 5*b = -5. Find f, given that r + 1/5*f**2 + 1/5*f = 0.
-1, 0
Factor 4056*v**4 + 288*v**2 + 0*v - 1872*v**3 + 0 - 878