 is j in -3/2*j + c - 2*j**2 + 1/2*j**3 = 0?
-2, 3
Let x(q) be the first derivative of 237*q**4/32 - 85*q**3/8 + 9*q**2/8 - 5864. Let x(h) = 0. What is h?
0, 6/79, 1
Let m(j) be the second derivative of -j**5/20 - 49*j**4/12 + 104*j**3/3 - 106*j**2 + 2*j - 521. Find t, given that m(t) = 0.
-53, 2
Let c(m) = 26*m**2 - 3274*m - 2497. Let y(v) = 9*v**2 - 1091*v - 808. Let d(l) = 4*c(l) - 11*y(l). Determine j so that d(j) = 0.
-1, 220
Suppose -12*f - 245 = -17*f. Let b(p) be the first derivative of f*p**3 - 4 - 42*p**2 - 7 + 12*p - 7 + 6. Factor b(i).
3*(7*i - 2)**2
Let l = 425 - 422. Factor -42*w**2 + 54*w**2 + 4*w**4 + 48*w**2 + 36*w**l - 100*w.
4*w*(w - 1)*(w + 5)**2
Let w(c) = c**3 - 145*c**2 + 152*c + 4. Let p(a) = -3*a**3 + 576*a**2 - 609*a - 18. Let v(h) = 2*p(h) + 9*w(h). Factor v(b).
3*b*(b - 50)*(b - 1)
Factor 5*j**4 + 16*j**4 - 513*j**3 + 1476 + 0*j**5 - 3408*j + 525*j**2 + 1892*j**2 + 6*j**4 + j**5.
(j - 6)**2*(j - 1)**2*(j + 41)
Let -4896/7*d + 2/7*d**2 + 2996352/7 = 0. Calculate d.
1224
Let o(y) be the third derivative of -y**8/8400 + y**7/420 - 17*y**6/1800 + y**5/75 + 13*y**3/3 + 12*y**2. Let s(u) be the first derivative of o(u). Factor s(n).
-n*(n - 8)*(n - 1)**2/5
Let o(l) be the first derivative of -l**7/315 - l**6/30 + 4*l**5/15 - 13*l**4/18 + l**3 - 24*l**2 - 73. Let i(u) be the second derivative of o(u). Factor i(k).
-2*(k - 1)**3*(k + 9)/3
Suppose 0 = -4*u - 5*k + 185, 4*u - 95 = u + 5*k. Let z = u - 32. What is i in 18*i**2 - 9*i**2 - i - z*i**2 = 0?
0, 1
Let g be 4*(-1)/(-10) + (7 - 2275/375). Solve -g*j**3 + 4/3*j**2 - 1/3*j**4 + 0 + 1/3*j**5 + 0*j = 0.
-2, 0, 1, 2
Suppose 17*m + 80 = 45*m - 4. Let x(p) be the third derivative of 1/30*p**5 - 1/2*p**4 + 0 + 3*p**m - 5*p**2 + 0*p. Solve x(o) = 0.
3
Let y(l) be the second derivative of 3*l**5/100 - 117*l**4/20 + 4563*l**3/10 - 177957*l**2/10 + 4*l + 235. Factor y(b).
3*(b - 39)**3/5
Factor -258*u - 96*u + 4*u**2 - 284 - 5*u + 79*u.
4*(u - 71)*(u + 1)
Let z(b) be the first derivative of 4*b**5/5 + 63*b**4 + 248*b**3/3 - 9444. Determine v so that z(v) = 0.
-62, -1, 0
Factor 72*r**3 - 242*r**4 + 508*r**3 + 5*r**5 + 122*r**4 - 180*r**4.
5*r**3*(r - 58)*(r - 2)
Factor 0 + 0*q**2 - 9/5*q + 1/5*q**3.
q*(q - 3)*(q + 3)/5
Let k(i) be the third derivative of -i**6/360 + 11*i**5/120 - 5*i**4/12 + 17*i**3/3 + i**2 - 36*i. Let g(f) be the first derivative of k(f). Factor g(c).
-(c - 10)*(c - 1)
Let a(d) be the first derivative of -d**3/15 + 359*d**2/10 + 72*d + 1589. Factor a(s).
-(s - 360)*(s + 1)/5
Suppose 0 = 4*t, 5*o - 9*o = 4*t + 216. Let b = o + 57. Factor -5*h**4 - b*h**5 - 2*h**5 - 2703*h**3 + 2713*h**3.
-5*h**3*(h - 1)*(h + 2)
Let w = -286 + 370. Suppose -129*c + w = -303. Factor 0 + 3/2*n - 1/4*n**2 - 1/4*n**c.
-n*(n - 2)*(n + 3)/4
Let p(a) be the first derivative of 5*a**4/4 + 315*a**3 + 59535*a**2/2 + 1250235*a + 312. Determine y, given that p(y) = 0.
-63
Let v be ((-32)/(-112))/((-968)/(-51667)). Factor 25/4*h**4 - 45/2*h**3 + v*h**2 + 9*h + 1.
(h - 2)**2*(5*h + 1)**2/4
Let h(x) = -x**3 + 7*x**2 + 12*x - 11. Let v be h(8). Suppose -3 = -6*y + v. Suppose 0*d**4 - 3*d**4 - y*d**5 + 12*d**3 - 5*d**4 = 0. What is d?
-3, 0, 1
Suppose 0 = 9*x - 10 - 134. Suppose 2*c = 4*c. Factor x - 4*y**2 - 2*y**2 - 12*y + 2*y**2 + c*y**2.
-4*(y - 1)*(y + 4)
Let y = -218 + 254. Solve -14*v + 2*v + 27*v**3 - y*v**2 + 4*v**4 + 17*v**4 = 0.
-2, -2/7, 0, 1
Factor 1/7*z**3 + 724/7*z - 192/7*z**2 - 704/7 + 1/7*z**4.
(z - 11)*(z - 2)**2*(z + 16)/7
Let s = 13055 + -13055. Let o(q) be the second derivative of 1/18*q**3 - 1/24*q**4 + s - q + 0*q**2 + 1/120*q**5. Factor o(j).
j*(j - 2)*(j - 1)/6
Factor -150*o - 968 + 508 - 1004 - 3*o**2 - 168.
-3*(o + 16)*(o + 34)
Let c be 210 + -229 - (-24)/1. Let v(w) be the first derivative of -33/5*w**c - 30*w**2 + 2*w**6 - 24*w + 17 - 33/4*w**4 + 46*w**3. Suppose v(b) = 0. What is b?
-2, -1/4, 1, 2
Let a = 37 - 28. Suppose -3*g = -2*t - 4*g + a, -3*t + 16 = 4*g. Suppose 4*m + 49*m**3 + m**2 - t - 53*m**3 + 3*m**2 = 0. Calculate m.
-1, 1
Let a(l) be the third derivative of -l**6/40 + 67*l**5/20 + l**4/8 - 67*l**3/2 + 2*l**2 + 3. Let a(u) = 0. Calculate u.
-1, 1, 67
Let -13520/7 - 3744/7*d - 4/7*d**3 - 228/7*d**2 = 0. What is d?
-26, -5
Suppose -5*y + 42*v = 41*v - 13, -v = y + 1. Factor 2/5*f**y - 8/5*f - 2.
2*(f - 5)*(f + 1)/5
Let y(l) = 2*l + 94. Let v be y(-7). Suppose 4*f + 68 = v. Determine m so that 2/5*m**f - 2*m - 6/5 - 2/5*m**2 = 0.
-1, 3
Let o(l) = 6*l**2 - 12*l + 6. Let h(x) = -20*x**2 + 36*x - 17. Suppose -4*y - 3*s + 23 = 0, 3*y - 3*s - 42 = -9. Let z(r) = y*o(r) + 3*h(r). Factor z(t).
-3*(2*t - 1)**2
Let -157*b**2 - 49284 - 2814*b - 2*b**3 - 3483*b + b**3 - 511*b = 0. What is b?
-74, -9
Let q(o) be the first derivative of 0*o**2 + 0*o + 4/15*o**3 - 1/25*o**5 - 41 - 3/20*o**4. Factor q(k).
-k**2*(k - 1)*(k + 4)/5
Suppose 4*n = 2*t + 6, -3*n - 6 = -2*t - 9. Let d(l) be the second derivative of 1/90*l**4 + 0 + 0*l**2 - 4/45*l**t - 10*l. Suppose d(f) = 0. What is f?
0, 4
Let b(a) be the first derivative of -a**4/14 + 134*a**3/21 + 137*a**2/7 + 138*a/7 + 1234. Solve b(q) = 0 for q.
-1, 69
Let z = 11531/7726 - -29/3863. Factor z*l + 1/2*l**2 - 9.
(l - 3)*(l + 6)/2
Factor 152069 + 4625*a**2 - 152069 + 373*a**2 + 3*a**3.
3*a**2*(a + 1666)
Let p(f) be the third derivative of f**5/12 - 185*f**4/24 - 65*f**3 + 2*f**2 + 9. Suppose p(m) = 0. Calculate m.
-2, 39
Factor 21/4*q**2 + 3/8*q**3 + 0 - 3/8*q**4 - 9*q.
-3*q*(q - 3)*(q - 2)*(q + 4)/8
Let l(y) be the second derivative of y**5/20 - 7*y**4/24 - 7*y**3/6 - 5*y**2/4 - 3*y + 377. Factor l(h).
(h - 5)*(h + 1)*(2*h + 1)/2
Factor 16/7*g**2 - 4/7*g**4 + 16/7*g + 0 - 4/7*g**3.
-4*g*(g - 2)*(g + 1)*(g + 2)/7
Let x = 32 - 25. Suppose 0 = x*i + 123 - 137. Let 0*n**i - 1/2*n**3 + 1/2*n + 0 = 0. What is n?
-1, 0, 1
Let o(h) = -h**3 + 47*h**2 - 247*h + 47. Let g be o(41). Suppose 4/3 - 14/3*p**4 + g*p**3 + 10/3*p**2 - 6*p = 0. Calculate p.
-1, 2/7, 1
Let d(r) be the third derivative of r**7/210 + 7*r**6/20 - 89*r**5/60 - 7*r**4/4 + 44*r**3/3 + 8895*r**2. Find q such that d(q) = 0.
-44, -1, 1, 2
Suppose -5*v = -2*t, 3*v = -2*t - 3*t + 31. Suppose 10 - 20 = -t*i. Suppose -27*y + 29*y - 6 + 6 - y**i = 0. Calculate y.
0, 2
Let g(c) be the third derivative of -c**6/1620 + c**5/180 + 5*c**4/54 - 95*c**3/3 - 18*c**2 + 4*c. Let j(t) be the first derivative of g(t). Factor j(y).
-2*(y - 5)*(y + 2)/9
Let c(j) be the second derivative of -j**5/50 + 28*j**4/15 - 44*j**3 - 720*j**2 + 2602*j. Solve c(d) = 0.
-4, 30
Suppose -4*j - 2*n = -0*n, 2*n + 8 = 0. Let i(g) be the second derivative of -1/72*g**4 - 1/36*g**3 + 8*g + 0 + 0*g**j. What is d in i(d) = 0?
-1, 0
Let u(s) be the third derivative of s**8/1512 + 19*s**7/945 + 11*s**6/135 - 32*s**5/135 + 1143*s**2. Determine g, given that u(g) = 0.
-16, -4, 0, 1
Let i(o) be the third derivative of -o**7/25200 - o**6/144 - 25*o**5/48 + 9*o**4/2 - 86*o**2. Let r(n) be the second derivative of i(n). Factor r(c).
-(c + 25)**2/10
Suppose 1312*q - 1697 - 1141 = 366*q. Determine z, given that -2/15*z + 0*z**2 + 2/15*z**q + 0 = 0.
-1, 0, 1
Determine f, given that 1/6*f**4 - 179/3*f**3 - 183*f + 1089/2 - 302*f**2 = 0.
-3, 1, 363
Let h be ((-258)/301)/(-3)*7. Determine v so that 0 - 12/7*v - 4/7*v**h = 0.
-3, 0
Let m(o) be the third derivative of -3*o**6/80 - 19*o**5/40 + 5*o**4/2 + 425*o**2. Determine l so that m(l) = 0.
-8, 0, 5/3
Let c = 6766 + -6764. Let v(i) be the third derivative of 1/1050*i**7 + 0*i**4 + 0*i**6 + 11*i**c + 0 + 0*i**3 + 0*i + 0*i**5. Factor v(t).
t**4/5
Let r be 615/12*((-3 - -13)/(-5))/(-10). Determine s, given that -13/4*s - 7*s**5 - 11/4*s**2 + r*s**3 + 13/4*s**4 - 1/2 = 0.
-1, -2/7, -1/4, 1
Suppose -12*g - 16 = -8*g, 4*u - 4*g = 280. Suppose 20*k - u*k + 19*k - 30 + 3*k**2 = 0. Calculate k.
-1, 10
Let o(x) be the third derivative of x**7/70 + 5*x**6/8 - 31*x**5/20 - 133*x**4/8 - 39*x**3 + 1059*x**2. Factor o(j).
3*(j - 3)*(j + 1)**2*(j + 26)
Let z be 8/(-28) + (-228)/(-14). Let w be 9/20 + (-4)/z. Determine c, given that 2/5*c**2 + 2/5*c**3 - 1/5*c - 1/5*c**5 - 1/5 - w*c**4 = 0.
-1, 1
Find h, given that -90*h**2 + 25*h**2 + 4568*h - 1304164 + 33*h**2 + 28*h**2 = 0.
571
Factor -16 + 35*n**3 - 4*n - 16*n**3 + n**2 - 8*n**2 + 11*n**2 - 18*n**3.
(n - 2)*(n + 2)*(n + 4)
Let r(w)