- m*u**3 - 21*u + 81 = 0 for u.
-9, 1
Solve -3/5*o**2 + 216/5 + 213/5*o = 0 for o.
-1, 72
Suppose -b - 85 = 311. Let j be b/(-96) + (-1)/8. What is o in 261*o**2 + 2*o**4 - 259*o**2 + j*o**3 - 2*o - 4*o**4 - 2*o**3 = 0?
-1, 0, 1
Let v(g) = -2*g**3 - 16*g**2 + 9*g - 1. Let j be v(-9). Suppose -2*d = -b - 34, 4*d + 26*b - j = 31*b. Factor d - 6*k + 3/5*k**2.
3*(k - 5)**2/5
Let s(j) be the third derivative of 0*j**5 + 0*j**4 + 0*j**3 - 1/84*j**8 - j + 0 + 8/105*j**7 + 1/6*j**6 - 29*j**2. Factor s(n).
-4*n**3*(n - 5)*(n + 1)
Suppose 4*u - 30 - 22 = 0. Let r be 704/u - (-20)/(-130). Factor 90 + r*i**2 + 2*i**3 - 14*i**2 - 7*i**3 - 105*i.
-5*(i - 3)**2*(i - 2)
Suppose 0 = 2*o, -2*m + 0*m + 2*o = -4. Suppose -575*i - 40 = -595*i. Let 2*a**3 + 0*a**3 - 14*a**4 - 2*a - 1 + 13*a**4 + 4*a**m - i = 0. What is a?
-1, 1, 3
Let p(u) be the second derivative of -u**7/630 + 2*u**5/15 - 83*u**4/12 + 14*u - 2. Let f(q) be the third derivative of p(q). Factor f(l).
-4*(l - 2)*(l + 2)
Suppose 27*m - 8 = 46. Let r(n) = n**3 - n**2 + n. Let y(b) = 8*b**3 - 66*b**2 + 124*b + 48. Let g(d) = m*y(d) - 4*r(d). Factor g(u).
4*(u - 8)*(u - 3)*(3*u + 1)
Let m be (131/(-156) + 0)/(2/18). Let f = 186/13 + m. Find y such that 0 + 9/4*y**4 - 3/2*y - 15/2*y**3 + f*y**2 = 0.
0, 1/3, 1, 2
Let t be (-89 + 90)*(-2 - 0)*-1. Determine i so that -2541 + 6*i**2 - 4*i**2 + 148*i - i**2 - 2*i**t - 2935 = 0.
74
Let 1719/4*b**3 - 3/4*b**5 - 2553/4*b**2 - 858*b + 849/4*b**4 + 855 = 0. Calculate b.
-2, 1, 285
Let i be 6664/196 - (-136)/(-4). Find o, given that -1/3*o**2 + i + 20/3*o = 0.
0, 20
Let z be (5 + 3)/((-209)/(-304)). Let t = z + -1466/143. Factor -48/13*r**2 - 2/13*r**4 + 0 + t*r**3 + 32/13*r.
-2*r*(r - 4)**2*(r - 1)/13
Let a(r) be the first derivative of -r**5/25 - 9*r**4/10 - 16*r**3/15 + 9*r**2/5 + 17*r/5 - 495. What is h in a(h) = 0?
-17, -1, 1
Let w be 0 - (-34 - -35)/(1314/(-1754)). Let i = w + -1/657. Find d, given that i + 4*d**2 - 4/3*d**3 - 4*d = 0.
1
Let t(q) be the first derivative of -12/25*q**5 + 0*q**2 - 127 + 0*q**3 - 1/10*q**6 + 0*q - 9/20*q**4. Factor t(h).
-3*h**3*(h + 1)*(h + 3)/5
Suppose 3*l + 1 = 7. Let f be 3*(6 - 119/(-21)). Factor f*b**2 - 15*b**2 - 16*b**2 + l*b**4 - 6*b**3.
2*b**2*(b - 2)*(b - 1)
Factor 8 + 80/11*u - 2/11*u**3 + 14/11*u**2.
-2*(u - 11)*(u + 2)**2/11
Suppose 0 = 2*v + i - 4, -14 = -9*v + 5*v + i. Suppose -3*g = 2*g + y - 15, -g + y = v. Solve 9/2*t**g - 9 - 21/2*t + 9/2*t**3 - 3/2*t**4 = 0 for t.
-1, 2, 3
Let u(i) = 19*i**5 - 47*i**4 - 13*i**3 + 48*i**2. Let p(q) = -11*q**5 + 25*q**4 + 6*q**3 - 24*q**2. Let z(f) = -7*p(f) - 4*u(f). Find j, given that z(j) = 0.
-12, -2, 0, 1
Let a(c) be the third derivative of -178*c**2 + 0*c + 0 - 1/150*c**6 - 7/10*c**4 - 4/25*c**5 - 4/3*c**3. Solve a(q) = 0 for q.
-10, -1
Let s(k) = k**3 - 802*k**2 - 4764*k - 7143. Let c(x) = x**3 - 2*x - 11. Let i(r) = 3*c(r) - s(r). Determine w, given that i(w) = 0.
-395, -3
Let u = -17925/34 + 8988/17. Factor 0 + 0*s**4 - u*s**3 + s**2 + 1/2*s**5 + 0*s.
s**2*(s - 1)**2*(s + 2)/2
Let k(p) = -2*p**4 - 2*p**3 + 7*p**2 - p. Let l(j) = -14*j**4 - 56*j**3 - 21*j**2 + 35*j. Let o(h) = -5*k(h) + l(h). Solve o(z) = 0 for z.
-10, -2, 0, 1/2
Suppose 10 = 4*t + o - 3*o, t - 2*o = 10. Suppose -3*q - 9 = 0, -q = 4*i - t - 5. Factor 17/3*d**3 + 16/3*d**i + 4/3*d**4 + d + 0.
d*(d + 1)*(d + 3)*(4*d + 1)/3
Let p be (50/(-1800))/(10/(-135)). Factor 3/8*v**2 - p + 0*v.
3*(v - 1)*(v + 1)/8
Let b(y) be the first derivative of -1/6*y**3 + 1/6*y - 38 + 1/6*y**2. Determine t so that b(t) = 0.
-1/3, 1
Let t(o) = -2*o + 12. Let d be t(4). Suppose 0 = d*y - 9*y + 525. Let 51*m + 42*m - 4*m**2 - y*m = 0. What is m?
-3, 0
Let x(j) be the second derivative of j**4/3 - 520*j**3/3 + 518*j**2 + 698*j + 1. Factor x(b).
4*(b - 259)*(b - 1)
Let n be (5/27)/(-31 + (-60564)/(-1953)) - 17. Solve -2/9*z**3 - n*z**2 + 4/9*z + 0 = 0.
-2, 0, 1
Let a = 32591219/87 - 374601. Let x = a + -4/87. Factor -2/3*b**3 - 16*b - 6*b**2 - x.
-2*(b + 1)*(b + 4)**2/3
Let i(k) be the second derivative of k**4/3 - 44*k**3/3 + 144*k**2 - 436*k. Factor i(q).
4*(q - 18)*(q - 4)
Let c(k) be the second derivative of k**6/105 + k**5/70 - 3*k**4/7 - 52*k**3/21 - 40*k**2/7 - 12*k + 45. Factor c(s).
2*(s - 5)*(s + 2)**3/7
Let c(d) = -9*d - 10*d + 22*d + 2. Let o be c(0). What is k in 9*k + 5*k**3 - 2*k - 7*k**2 - o - k**2 - k**2 - k**4 = 0?
1, 2
Let w = 374025 + -374022. Determine i so that 12/7*i - 6/7*i**w + 48/7 - 78/7*i**2 - 6/7*i**5 + 30/7*i**4 = 0.
-1, 1, 2, 4
Let n(l) be the third derivative of -4 + 0*l - 1/15*l**5 - 12*l**2 + 1/24*l**6 - 1/210*l**7 + 0*l**4 + 0*l**3. Determine b, given that n(b) = 0.
0, 1, 4
Suppose -47/3*x**2 + 0 - 31/2*x - 1/6*x**3 = 0. Calculate x.
-93, -1, 0
Factor 3*q - 11/5*q**2 + 54/5.
-(q - 3)*(11*q + 18)/5
Let q be 8/60*-2*(-14)/((-840)/(-450)). Suppose 2/3*a**q + 0 + 0*a = 0. Calculate a.
0
Let p(t) be the second derivative of t**6/270 + t**5/10 + 20*t**4/27 - t**3/3 - 9*t**2/2 + 760*t. Factor p(o).
(o - 1)*(o + 1)*(o + 9)**2/9
Determine b, given that -2/5*b**3 - 14/15*b**4 + 8/15*b + 38/15*b**2 - 2/15*b**5 - 8/5 = 0.
-6, -2, -1, 1
Let x(m) = -2*m**2 + 51*m + 29. Let b be x(26). Let i(q) = -q**2 + 102. Let t be i(-10). Factor 0 + 2/5*h - 2/5*h**b + 1/5*h**t - 1/5*h**4.
-h*(h - 1)*(h + 1)*(h + 2)/5
Let m(w) be the second derivative of -w**4/12 - 5*w**3/6 + 8*w**2 - 96*w. Let u be m(-7). Factor 9/2*c**3 + 39*c**u + 96*c + 48.
3*(c + 4)**2*(3*c + 2)/2
Suppose 4*u = -3*y - 15 + 40, 4*u + 5*y = 31. Factor 2/5*i**u + 4/5*i**3 - 4/5*i - 2/5 + 0*i**2.
2*(i - 1)*(i + 1)**3/5
Let r(q) be the first derivative of q**4 - 316*q**3/3 - 832*q**2 - 1344*q + 2952. Factor r(g).
4*(g - 84)*(g + 1)*(g + 4)
Factor -1/2*k**2 + 33 - 31/2*k.
-(k - 2)*(k + 33)/2
Factor 41/7*m - 1/7*m**2 + 132/7.
-(m - 44)*(m + 3)/7
Solve 1299*i + 1268*i + 1263*i - 3797*i - 21*i**3 + 89*i**4 - 103*i**2 - 15*i**5 + 3*i**5 + 14 = 0 for i.
-1, -1/4, 2/3, 1, 7
Let k(q) be the first derivative of -2/3*q**2 - 4/3*q - 1/9*q**3 + 196. Factor k(s).
-(s + 2)**2/3
Let y(x) = 5*x**2 - 53822*x - 53823. Let u be y(-1). Solve 0 - 15/2*o**3 + 0*o**2 + 5*o**5 + 0*o - 5/2*o**u = 0 for o.
-1, 0, 3/2
Let c = -39161/22 + 19718/11. Determine b, given that -5/4*b**2 + 15/4*b + c = 0.
-2, 5
Find j such that -1319 - 1626 - 12*j**2 - 489 - 1257 + 4904*j + 1427 = 0.
2/3, 408
Let q = 5 + -5. Suppose q = -5*w + 5*m + 10, 8*w - 2*m = 3*w + 10. What is o in -80 + 5*o**4 + 40*o - 40*o**3 - 5*o**2 - 5*o**2 + 13*o**2 + 72*o**w = 0?
-1, 1, 4
Let h(o) = 21453*o - 64354. Let j be h(3). Solve -3/2*g**4 + 5/2*g**j - 2*g**2 + 0 - 6*g**3 + 0*g = 0 for g.
-1, -2/5, 0, 2
Suppose 7*f - 121 = -93. Let w = -1234/3 + 412. Solve w*t**3 + 0 + 2/9*t**2 + 0*t - 2/3*t**5 - 2/9*t**f = 0.
-1, -1/3, 0, 1
Let t be (-2 - -2*4) + 12/(-4). Let w be (4/(-8)*27)/(t/(-6)). What is r in -w*r + 7*r - 12 + 4*r**3 - 2*r**2 - 2*r**2 = 0?
-1, 3
Suppose 5*q - 157 = -11*c + 15*c, 23 = q - 5*c. Suppose -q = -9*b - 6. Factor -4/5*p**b + 0*p**2 + 4/5*p + 2/5*p**4 - 2/5.
2*(p - 1)**3*(p + 1)/5
Let x(z) be the first derivative of -z**5/2 - 15*z**4/8 + 5*z**3/6 + 15*z**2/4 - 530. Determine t so that x(t) = 0.
-3, -1, 0, 1
Let c = 43 + -34. Suppose -24 + c = -5*g. Determine t, given that 36*t**2 + 16*t**5 - t - 21*t**4 + 0*t**4 - 7*t - 8*t**g - 15*t**4 = 0.
-1, 0, 1/4, 1, 2
Factor 590/3 - 1/3*h**2 - 589/3*h.
-(h - 1)*(h + 590)/3
Let q = -1582 + 1645. Let n be -5 + 1 + q/9. Let 1/3*d**5 - 5/3*d**4 - 4/3*d**2 + 8/3*d**n + 0 + 0*d = 0. What is d?
0, 1, 2
Let q(v) be the first derivative of v**4/20 - 4*v**3/5 - 43*v**2/10 + 42*v - 3659. Factor q(j).
(j - 14)*(j - 3)*(j + 5)/5
Let t(d) be the second derivative of 1/12*d**3 + 21/16*d**2 + 1 - 1/96*d**4 + 10*d. Determine q, given that t(q) = 0.
-3, 7
Let d(g) be the second derivative of 5*g**7/42 + 58*g**6/3 - 719*g**5/4 + 3935*g**4/6 - 3650*g**3/3 + 1220*g**2 - 4951*g. Solve d(p) = 0.
-122, 1, 2
Let m(x) be the first derivative of -x**3/12 + 9*x**2/4 - 20*x + 1755. Let m(b) = 0. What is b?
8, 10
Let y(u) be the first derivative of -3/4*u + 5/8*u**2 + 66 - 1/12*u**3 - 1/16*u**4. Factor y(k).
-(k - 1)**2*(k + 3)/4
Let i(l) = l**2 + 23*l - 48. Let o be i(-25). Solve j + 29*j**3 - 9 - 30*j**3 - 2*j + 5*j**2 - o*j = 0.
-1, 3
Let h be (-12)/(-1) + 16/((-128)/(-40)). Let g be (2/h