
-4, 0
Let q(l) be the third derivative of -7*l**5/10 + 397*l**4/12 + 38*l**3/3 - 4*l**2 + 2*l - 61. Suppose q(b) = 0. Calculate b.
-2/21, 19
Suppose 19*z - 18*z = 36. Suppose 12 = z*t - 32*t. Solve -t*l**2 - 2*l**2 - 3*l**3 - 6*l**2 - l**2 - 18 + 33*l = 0.
-6, 1
Let y be (36/(-42))/(24/(-42)). Suppose -7 = -4*h - a + 1, -3*h = a - 5. Find v, given that 0 + 9/2*v**2 + 6*v - y*v**h = 0.
-1, 0, 4
Let q(a) be the second derivative of -a**6/45 + 3*a**5/10 - 3*a**4/2 + 31*a**3/9 - 4*a**2 - 7*a + 14. Determine y so that q(y) = 0.
1, 3, 4
Let a(g) = g**2 - 12*g - 8. Let b be a(13). Factor f**b + 4*f**3 + 47*f - 3*f**3 + 4*f**4 - 4*f**2 - 2*f**5 - 47*f.
-f**2*(f - 4)*(f - 1)*(f + 1)
Let l(n) = -172868*n**3 + 4*n**2 + 6*n - 24. Let a be l(-5). Factor 9897376 + 285*g**3 + 219*g**3 + 2000376*g + 35895*g**2 + 2*g**4 + 11733*g**2 + a.
2*(g + 63)**4
Factor -6 - 117/7*u**2 + 123/7*u + 3/7*u**4 + 33/7*u**3.
3*(u - 1)**3*(u + 14)/7
Suppose 6952*o - 653*o**4 + 2400*o**2 - 367*o**4 - 9*o**5 - 6268*o + 705*o**3 = 0. What is o?
-114, -1, -1/3, 0, 2
Let x be ((-12)/(-5))/(71352/19820). Solve -5/6*c**2 - x + 4/3*c + 1/6*c**3 = 0 for c.
1, 2
Let z(v) be the third derivative of v**5/120 + v**4/4 - 16*v**3/3 + v**2 + 1262*v. Factor z(r).
(r - 4)*(r + 16)/2
Let q(c) = 3*c**2 - 69*c + 5. Let v be q(23). Factor -2*g**4 + g**4 - 11*g - 9*g + 172 - 2*g**2 - 148 + v*g**3.
-(g - 3)*(g - 2)**2*(g + 2)
Let i(o) be the second derivative of 7*o**4/18 + 38*o**3/9 + 5*o**2 + 1208*o. Suppose i(w) = 0. Calculate w.
-5, -3/7
Let s(q) = -31*q - 1. Let m be s(-1). Let o = m + 4. Suppose 21*v**2 - o*v**2 + 15*v**2 - 2*v**3 + 4*v = 0. What is v?
-1, 0, 2
Let v(r) be the second derivative of r**6/90 + 11*r**5/30 + 11*r**4/3 + 101*r**3/9 + 91*r**2/6 - 640*r. Factor v(x).
(x + 1)**2*(x + 7)*(x + 13)/3
Let k = 928086 - 928086. Factor 5/3*i**3 + 4/3*i + 4*i**2 + k.
i*(i + 2)*(5*i + 2)/3
Suppose -4*b + 0*b + 3*i + 3 = 0, i = 5*b - 12. Suppose -3*n - 3 = v, v + 2*v - 9 = -b*n. Factor v*a**3 + 14*a**5 + 5*a**2 - 7*a**5 - a**3 - 5*a**4 - 12*a**5.
-5*a**2*(a - 1)*(a + 1)**2
Let g(v) be the third derivative of -v**7/42 - 7*v**6/4 - 10*v**5/3 + 35*v**4/4 + 205*v**3/6 - 52*v**2. Solve g(n) = 0.
-41, -1, 1
Let s = 3310708/2758915 - 2/551783. Factor -s*v**2 + 0*v + 0 + 8*v**3.
2*v**2*(20*v - 3)/5
Let i(s) be the first derivative of s**5 - 2885*s**4/4 + 185280*s**3 - 17971200*s**2 + 35389440*s - 2468. Factor i(k).
5*(k - 192)**3*(k - 1)
Let m = -300 - -302. Let -18 + 108*k - 48*k**m - 41 + k**3 + 3 - 5*k**3 = 0. What is k?
-14, 1
Let v = 144/23 - 2569/414. Let z(n) be the second derivative of 0*n**2 - v*n**4 - 1/18*n**3 + 11*n - 1/60*n**5 + 0. Determine w, given that z(w) = 0.
-1, 0
Let s be (-6)/1 - (-12)/17*9. Let x(q) be the first derivative of -s*q**3 + 31 + 30/17*q**2 - 50/17*q. Factor x(t).
-2*(3*t - 5)**2/17
Let t = 62135 + -62132. What is d in -16 + 10*d + 1/2*d**t + 11/2*d**2 = 0?
-8, -4, 1
What is j in -63/2*j - 1/8*j**5 + 1/2*j**4 - 51/2*j**2 + 53/8*j**3 + 0 = 0?
-7, -1, 0, 6
Let k(u) = 16*u**2 + u - 3. Let a(g) = -64*g**2 + 13. Let q(s) = -2*a(s) - 9*k(s). Let d(m) = -m**3 - m - 1. Let n(v) = -12*d(v) - 3*q(v). Factor n(w).
3*(w + 3)*(2*w + 1)**2
Let w = 27950 + -195649/7. Let y(i) be the first derivative of -w*i**3 - 6/7*i**2 - 9/7*i - 16. Determine b so that y(b) = 0.
-3, -1
Let g(t) be the first derivative of 5*t**3/3 - 40*t**2 + 320*t + 890. Let g(a) = 0. What is a?
8
Let n = 512 + -879. Let t = 367 + n. Suppose -25*x**2 - 5/2*x**3 + t - 125/2*x = 0. Calculate x.
-5, 0
Let s(h) be the third derivative of -h**10/6048 - h**9/3024 - h**4/24 + 8*h**3/3 - 162*h**2. Let w(l) be the second derivative of s(l). Factor w(b).
-5*b**4*(b + 1)
Let x = -7/603 + 12691/2412. Let c(d) be the first derivative of 12 + 3/2*d**2 + 12/5*d**5 + 0*d + 2*d**3 - x*d**4. Determine l so that c(l) = 0.
-1/4, 0, 1
Let a = 15002/29 - 164558/319. Find f, given that 52/11*f**4 + 0 - 52/11*f**2 - a*f + 30/11*f**3 - 14/11*f**5 = 0.
-1, -2/7, 0, 1, 4
Let r(q) = -20*q + 96. Let u be r(9). Let t be 5/(-2)*u/420. Determine n, given that 1 + t*n**2 - 3/2*n = 0.
1, 2
Let s(o) = o + 15. Let q be s(-13). Suppose q*b - 19 = u - 4*u, 0 = 2*u - 10. Suppose 4/5 - 8/5*j**2 - 6/5*j**3 + b*j = 0. Calculate j.
-2, -1/3, 1
Factor -24*m**4 + 41*m - 35*m**3 + 49*m**4 + 245*m**2 - 14*m**4 - 16*m**4 + 234*m.
-5*m*(m - 5)*(m + 1)*(m + 11)
Let m be (73/(-146))/((-10)/4) - (-11)/(-60). Let y(l) be the second derivative of 3*l + 18/5*l**2 + 2/5*l**3 + m*l**4 + 0. Solve y(d) = 0.
-6
Let c = 3496 + -3478. Suppose 0 = u - 0*u - 12. Factor -c*t**2 - 20*t**2 + 35*t**2 - u*t.
-3*t*(t + 4)
Let f(p) = -3*p**2 - 22*p + 131. Let z(w) = w - 5. Let g(j) = -f(j) + 5*z(j). Factor g(k).
3*(k - 4)*(k + 13)
Find a, given that 21*a - 1/3*a**2 - 62/3 = 0.
1, 62
Let z(q) be the first derivative of -4*q**5/5 - 25*q**4/3 + 44*q**3/3 + 14*q**2 - 32*q - 130. Let y(k) be the first derivative of z(k). Solve y(c) = 0.
-7, -1/4, 1
Suppose 42*l - 31 - 11 = 0. Let z be -4 - (-38)/6 - (1 + l). Solve 0 - z*w**3 + 0*w - 4/3*w**2 = 0.
-4, 0
Let y(l) be the second derivative of -l**5/360 - 5*l**4/144 + 38*l**2 - l + 93. Let d(z) be the first derivative of y(z). Factor d(h).
-h*(h + 5)/6
Factor -18*g**2 - 16/3 + 50/3*g - 2/3*g**4 + 22/3*g**3.
-2*(g - 8)*(g - 1)**3/3
Let w = 40621 - 40618. Suppose -5/3*y**4 - 4*y + y**w + 22/3*y**2 - 8/3 = 0. What is y?
-2, -2/5, 1, 2
Let q(n) be the second derivative of -n**5/480 - 25*n**4/192 + 39*n**2/2 - 53*n - 1. Let g(y) be the first derivative of q(y). Determine o so that g(o) = 0.
-25, 0
Let n be 82/408 + 12/(-102). Let x(l) be the first derivative of 8 - 1/6*l**2 - n*l**4 - 2/9*l**3 + 0*l. Factor x(p).
-p*(p + 1)**2/3
Let p = 3126/455 + -516/91. Determine y, given that p - 1/5*y - 1/5*y**2 = 0.
-3, 2
Let j = 89 - 69. Let s be 5275/j + (-6)/8. Let -4*d**3 - s*d - 7*d - 162*d + 864 + 111*d**2 - 39*d**2 = 0. What is d?
6
Suppose 2 = d, 11*b - 5*d + 114 = 9*b. Let q be (8/b)/((-3)/78). Let 0*z**2 + 6/11*z**3 - 2/11*z**q - 8/11*z + 0 = 0. What is z?
-1, 0, 2
Let d = -46 + 77. Suppose -4*y + 0*y = 4*t - 28, 4*y + 5*t - d = 0. Factor y*z + 5*z**3 + 5*z**2 - 9*z - 24 + 19.
5*(z - 1)*(z + 1)**2
Let w = 12613/30170 - 109/6034. What is a in w*a**3 - 8*a**2 + 102/5*a + 0 = 0?
0, 3, 17
Let p be (-16)/20*75/6 - (53768/(-198))/26. Find w such that -8/9*w**3 + p*w**4 + 16 + 16/3*w - 44/9*w**2 = 0.
-2, 3
Let j(f) be the first derivative of -87 + 126*f**2 + 108*f - 2/3*f**6 + 56*f**3 - 4*f**5 + 2*f**4. Suppose j(u) = 0. Calculate u.
-3, -1, 3
Let j be 1 + 0 - 6 - -14. Let o be 3 + j/2 + -7. Factor 3/2*n**2 + o - 2*n.
(n - 1)*(3*n - 1)/2
Suppose 2/3*k**4 - 16*k**3 + 148/3*k - 32 - 2*k**2 = 0. What is k?
-2, 1, 24
Let y = -4182 - -4185. Let a be (3 + -1)/(-9 + 12). Factor -a*m**y - 4/3*m**2 + 0 - 2/3*m.
-2*m*(m + 1)**2/3
Suppose 0 = -4*f + 4, 3*d - 3 = 3*f - 0*f. Suppose -3*c - 5*k + 23 = 0, -c - 2*k + 17 = d*k. Determine g so that 0*g - 6*g + 1 - 2*g**2 - c = 0.
-3, 0
Factor -71*v**3 - 69*v**3 - 21 - 43 - 36*v + 205*v**3 - 63*v**3 + 30*v**2.
2*(v - 2)*(v + 1)*(v + 16)
Suppose 33/7*k - 54/7 - 3/7*k**2 = 0. Calculate k.
2, 9
Suppose -49*g**4 + 60*g - 252*g**3 + 180*g**2 - 66*g**3 - 12*g**5 - 68*g**4 - 95*g**2 - 238*g**2 = 0. Calculate g.
-5, -4, -1, 0, 1/4
Let j be (-3)/(-4) + (4 - 33240/32). Let h = j + 1034. Let h*a - 2/9*a**2 + 8/9 = 0. What is a?
-2, 2
Let j(r) be the third derivative of r**5/40 - 49*r**4/96 + 49*r**3/24 + 77*r**2 + 15. Factor j(c).
(c - 7)*(6*c - 7)/4
Factor -34132/3*f - 215/3*f**3 + 22472/3 + 1/3*f**4 + 3958*f**2.
(f - 106)**2*(f - 2)*(f - 1)/3
Let s = -5892/19 - -17695/57. Factor -1/3*j**2 + s - 1/3*j**3 + 1/3*j.
-(j - 1)*(j + 1)**2/3
Let i(k) be the second derivative of -k**6/195 - 17*k**5/10 + 223*k**4/26 - 671*k**3/39 + 224*k**2/13 + 37*k + 37. Factor i(s).
-2*(s - 1)**3*(s + 224)/13
Let o(w) be the first derivative of w**5/12 - 5*w**4/18 - 5*w**3/6 + 94*w - 52. Let f(l) be the first derivative of o(l). Determine t so that f(t) = 0.
-1, 0, 3
Let d = 780 - 778. Factor -2*y**3 + 7800*y**2 - 171*y - 525*y - 362*y - 7892*y**d.
-2*y*(y + 23)**2
What is r in -22/5*r**2 - 4/5*r - 33/5*r**3 + 0 + 5/2*r**5 - 1/2*r**4 = 0?
-1, -2/5, 0, 2
Find n, given that 4208/5*n + 1/5*n**2 + 4426816/5 = 0.
-2104
Let o(g) = -4*g**2 - 3*g + 7. Let c(f) be 