o(j) be the third derivative of -13*j**6/24 + 9*j**5/2 + 95*j**4/8 - 25*j**3/3 + 2*j**2 - 471*j - 6. Factor o(q).
-5*(q - 5)*(q + 1)*(13*q - 2)
Let z(f) = -f**3 + f. Let t(u) = 4*u**3 - 3*u**4 + 98*u + 0*u**4 - 53*u - 38*u - 8*u**3. Let c(g) = -t(g) - 5*z(g). Factor c(o).
3*o*(o - 1)*(o + 2)**2
Let i(u) = u**3 + 200*u**2 + 1161*u - 18. Let a be i(-6). Let r be (1*(-2)/11)/(-1). Find h, given that -2/11*h**2 + a - r*h = 0.
-1, 0
Factor 271*r + 200*r - 1677*r**2 + 474 + 556*r**2 + 559*r**2 + 559*r**2.
-3*(r - 158)*(r + 1)
Let o(v) = -6*v**2 + 79*v - 294. Let q = -2 - 3. Let n(s) = -21*s**2 + 276*s - 1029. Let b = 721 - 703. Let k(f) = b*o(f) + q*n(f). Factor k(w).
-3*(w - 7)**2
Suppose 2*m + 3 = 23. Factor r**2 - m - 3*r + 9 - 9.
(r - 5)*(r + 2)
Suppose -24*w + a = -12*w - 49, 5*a - 30 = 5*w. Find q, given that 3*q**2 + q + 3/2*q**4 + 0 + 13/4*q**3 + 1/4*q**w = 0.
-2, -1, 0
Find u, given that 325/2*u - 205/4*u**2 - 105/4 = 0.
7/41, 3
Let h be ((-242)/(-15) - 16)/(3 - 132/45). Suppose 10*b - 1/2*b**3 - 7*b**2 - 4 - 1/2*b**5 + h*b**4 = 0. What is b?
-2, 1, 2
Let u be -3 + ((-604)/14)/(14/(-49)). Factor -167*k - u*k - 560*k - 10*k**2 - 220 + 30*k**2.
5*(k - 44)*(4*k + 1)
Let v(h) be the second derivative of 1/15*h**6 - 8/9*h**3 + 0*h**2 + 113*h + 1/189*h**7 + 1/5*h**5 + 0 - 2/27*h**4. Find x, given that v(x) = 0.
-6, -2, 0, 1
Let s = -118 - -122. Suppose -70*x**3 + 36*x**5 - 50*x**5 + 19*x**5 + 225*x + 135 + 30*x**2 - 5*x**s = 0. What is x?
-3, -1, 3
Let s(p) = 2*p**2 - 22*p - 20. Let r be s(12). Suppose -20*l + 43*l**2 + 8*l**4 - 7*l**3 - 9*l**r - 8 - 61*l**2 = 0. Calculate l.
-2, -1
Suppose -h + 2 = h. Let y(t) = -6*t**2 + 16*t + 51. Let k(i) be the first derivative of i**3/3 - i**2/2 - i - 2357. Let s(o) = h*k(o) + y(o). Factor s(z).
-5*(z - 5)*(z + 2)
Let f(c) = c**2 - 92*c - 2. Let b(x) = 11*x**2 - 921*x - 21. Let t(n) = 4*b(n) - 42*f(n). Factor t(q).
2*q*(q + 90)
Suppose 398*o - 39 + 64 = 11*o + 799. Determine h, given that 16/9*h + 2/9*h**4 - 8/9*h**o + 0 + 2/9*h**5 - 4/3*h**3 = 0.
-2, 0, 1, 2
Determine k, given that -79 + 18*k**3 - 1895/2*k - 2838*k**2 = 0.
-1/6, 158
Let h(c) = -c**3 - c**2 - 11*c + 5. Let g(l) = 2*l**3 + 2*l**2 + 10*l - 4. Let t(s) = 4*g(s) + 5*h(s). Factor t(f).
3*(f - 1)**2*(f + 3)
Suppose 4*v = -25*v + 232. Factor d**5 - 2*d**3 + 0*d**5 + d + 4 + 7*d - v*d**2 - 7*d + 4*d**4.
(d - 1)**2*(d + 1)**2*(d + 4)
Let m(r) be the third derivative of -r**6/1320 + 7*r**5/660 - 5*r**4/132 - 5115*r**2. Solve m(q) = 0.
0, 2, 5
Let r = 551 - 552. Let m(s) = -4*s**5 + 12*s**4 - 14*s**3 - 6. Let x(u) = u**5 - u**4 + u**3 + 1. Let b(a) = r*m(a) - 6*x(a). Let b(c) = 0. What is c?
-4, 0, 1
Factor -201*x - 228 + 9178*x**2 - 402 - 9175*x**2.
3*(x - 70)*(x + 3)
Let d be (-285 + 45 + -15)*(-9)/30. Factor -7803/4 - 3/4*w**2 + d*w.
-3*(w - 51)**2/4
Factor -13/2*t**2 + 0 + 138*t.
-t*(13*t - 276)/2
Suppose -5*o - 10*k + 7*k - 88 = 0, -72 = 3*o - 3*k. Let i be 5*2/5 - o/(-50). Factor -14/5*d**2 - 4/5*d**3 + 2/5*d**4 - i*d + 0.
2*d*(d - 4)*(d + 1)**2/5
Let q(n) = 7*n**3 - 152*n**2 - 903*n + 1006. Let b(z) = -120*z**3 + 2585*z**2 + 15350*z - 17080. Let v(d) = 2*b(d) + 35*q(d). What is c in v(c) = 0?
-6, 1, 35
Let r = 55938 - 1062814/19. Suppose 6/19*a**4 + 0 - r*a**2 + 0*a - 2/19*a**5 + 0*a**3 = 0. What is a?
-1, 0, 2
Find p such that -2166/7 + 68/7*p**3 - 424/7*p**2 - 380*p - 2/7*p**4 = 0.
-3, -1, 19
Factor 3868/3*m**2 + 1288*m**3 + 428*m**4 + 430*m + 0 - 2/3*m**5.
-2*m*(m - 645)*(m + 1)**3/3
Let s(g) = g + 36. Let m be s(-32). Determine p, given that p**2 + 4*p**2 - 10*p**4 + 0*p**2 - 20*p**3 + 30*p**m = 0.
0, 1/2
Find y such that 18*y**2 + 357972*y - 357969*y + 5*y**3 - 2*y**2 = 0.
-3, -1/5, 0
Let i = -252 - -255. Factor -146*v**i + 123*v**3 + 28*v**2 - 16*v**4 + 131*v**3.
-4*v**2*(v - 7)*(4*v + 1)
Let m(g) be the second derivative of -g**4/78 - 20*g**3/39 + 12*g**2 + 17*g - 5. Factor m(l).
-2*(l - 6)*(l + 26)/13
Let z be 2 + 0 - 19/(247/(-27339)). Let y = z - 6311/3. Factor -2/3*g**2 + y*g + 2.
-2*(g - 3)*(g + 1)/3
Let l be (64/(-10))/((-40)/100). Factor -25 - 4*c**3 + l*c - 4*c**2 - 5*c**2 - 7 + 17*c**2.
-4*(c - 2)**2*(c + 2)
Let b be (8 + (-344)/40)*(0 - 5). Suppose -14*t**2 + 29*t - t + 8*t + 47*t**2 - b*t**3 - 66*t = 0. Calculate t.
0, 1, 10
Let s(t) = -t + 331*t**2 - 3 + 0*t - 3 + 13*t**2. Let m be s(-2). Factor -m*k + 294*k**2 + 1682 - 68 + 1443 + k**4 - 28*k**3 - 656.
(k - 7)**4
Let k(u) be the first derivative of u**4/7 - 328*u**3/21 + 162*u**2/7 - 3567. Determine m, given that k(m) = 0.
0, 1, 81
Suppose -7*g = 209 - 216. Let y(n) = -28*n + 30. Let z be y(g). Solve -1/2*s**z + 3 - 5/2*s = 0 for s.
-6, 1
Find z, given that -8/5 - 16/15*z**3 - 2/15*z**4 - 56/15*z - 46/15*z**2 = 0.
-3, -2, -1
What is y in 1/4*y**2 + 291/4 + 25*y = 0?
-97, -3
Let t(x) be the second derivative of 0 - 1/5*x**5 + 14*x + 0*x**2 - 3/4*x**4 - 1/3*x**3. Factor t(u).
-u*(u + 2)*(4*u + 1)
Let u be ((-3)/(-18))/(-1) + (-4)/(-24). Let s(y) be the third derivative of -1/12*y**3 + u + 10*y**2 - 1/96*y**4 + 1/240*y**5 + 0*y. Factor s(r).
(r - 2)*(r + 1)/4
Let i(g) = 4*g + 35. Let d be i(-8). Determine s, given that -19*s**3 - 17*s**d - 652*s**4 + 604*s**4 - 8*s**2 - 20*s**5 = 0.
-1, -2/5, 0
Let x be 31/(-4) - (25 - (-22 + 55)). Factor -x*f**3 + 3/4*f**2 + 0*f - 1.
-(f - 2)**2*(f + 1)/4
Suppose -9 = 4*f - 4*u - 53, 19 = 2*f - 5*u. Find p, given that -f + 2 - 4*p - 2*p**2 + 16 = 0.
-3, 1
Let r = 11/5223 - -15647/10446. Factor -2 + 6*b - 1/2*b**5 - 11/2*b**2 + 1/2*b**3 + r*b**4.
-(b - 2)*(b - 1)**3*(b + 2)/2
Let z(u) = -2*u**3 + 343*u**2 + 327*u. Let v(x) = -5*x**3 + 687*x**2 + 650*x. Let b(y) = -3*v(y) + 7*z(y). Find d such that b(d) = 0.
-339, -1, 0
Let t be ((-2)/(-8))/((-13)/(-312)). Factor o**2 + o - 3*o + 5*o**2 + 2*o**3 - t*o.
2*o*(o - 1)*(o + 4)
Let q(i) be the first derivative of -i**4/2 + 20*i**3/3 - 32*i**2 + 64*i + 2668. Factor q(j).
-2*(j - 4)**2*(j - 2)
What is l in 16*l**4 + 14*l**3 + 1 + 7/2*l - 69/2*l**2 = 0?
-2, -1/8, 1/4, 1
Let j(y) be the first derivative of 2/25*y**5 - 8/15*y**3 - 195 + 8/5*y**4 + 0*y**2 + 0*y - 4/15*y**6. Solve j(i) = 0 for i.
-2, 0, 1/4, 2
Let j = 295213/27038 + -23/2458. Find q such that -j*q + 72/11*q**3 + 24/11 + 78/11*q**2 = 0.
-2, 1/4, 2/3
Let d(n) be the first derivative of -n**6/540 - n**5/30 - n**4/4 - n**3 + 147*n**2/2 + 110. Let q(x) be the second derivative of d(x). Factor q(o).
-2*(o + 3)**3/9
Let i(g) be the first derivative of 11*g**4/28 - 1934*g**3/21 + 42416*g**2/7 + 15488*g/7 + 734. Let i(d) = 0. Calculate d.
-2/11, 88
Let v(z) = 351*z + 706. Let n be v(-2). Let w(f) be the second derivative of 0 - 1/12*f**n + 32*f + 0*f**2 + 2/3*f**3. Solve w(g) = 0 for g.
0, 4
Let d(j) = 89*j**3 + 11486*j**2 + 5725*j + 718. Let o(q) = -270*q**3 - 34460*q**2 - 17175*q - 2155. Let x(s) = 10*d(s) + 3*o(s). Suppose x(b) = 0. Calculate b.
-143, -1/4
Let b(o) be the second derivative of o**6/15 + 129*o**5/20 + 125*o**4/4 + 371*o**3/6 + 123*o**2/2 + 1113*o. Let b(n) = 0. Calculate n.
-123/2, -1
Suppose 6*m - 9896 = 2398. Suppose -5*u**2 - m - 220*u - 726 + 355 = 0. What is u?
-22
Let j be ((-1)/3)/(15/(-90)). Suppose 3*k - 8*k - 120 - 2*k - 3*k - 11*k**j + 16*k**2 = 0. What is k?
-4, 6
Let b be (-55*(-2825)/(-11187))/(((-70)/12)/7). Find a, given that -125/3*a + 40*a**3 + 5/3*a**5 + 0 - b*a**2 + 50/3*a**4 = 0.
-5, -1, 0, 1
Let l be ((-15384)/(-168) - 93)/((-10)/28). Find t such that -4/7*t**2 - 4/7*t**5 - 12/7*t**3 + 0 - 12/7*t**l + 0*t = 0.
-1, 0
Let w(p) be the third derivative of 2/15*p**5 + 0*p + 0 + 3*p**2 + 2/35*p**7 + 0*p**3 - 9/20*p**6 + 3*p**4 + 1/168*p**8. Factor w(f).
2*f*(f - 2)**2*(f + 1)*(f + 9)
Suppose 0 = -4*i + 3068 - 3060. Let g = 4 - 1. Factor 8/5 + 32/5*t**g + 66/5*t + 144/5*t**i.
2*(t + 4)*(4*t + 1)**2/5
Let m be (6/18)/(3/(-2)) + (-8128)/(-2286). Let m*t**2 - 8 - 2/3*t**5 + 32/3*t + 14/3*t**4 - 10*t**3 = 0. What is t?
-1, 1, 2, 3
Let s(u) be the third derivative of 2*u - 50*u**2 + 6*u**4 + 0 + 32*u**3 + 1/40*u**6 + 3/5*u**5. Suppose s(o) = 0. What is o?
-4
Suppose -760 - 16*x**2 + 21*x**2 + 249662*x - 250417*x = 0. What is x?
-1, 152
Suppose -68*v = -39*v - 2001. Let l = 72 - v. Suppose 0 + 1/5*i**l + 0*i + 0*i**2 = 0. What is i?
0
Let d = 21 + -18. Suppose -24422*s**2 + 13*s**3 + 24410*s**2 - 4*s + d*s**3 = 0. Calc