34*w + 2. Let u(d) be the third derivative of l(d). Factor u(h).
4*h*(h + 3)**2
Suppose 268 = 31*y - 197. Let h be (-20)/(-12)*18/y. What is j in -384/7*j**3 - 648/7*j + 162/7 + 864/7*j**h = 0?
3/4
Find y, given that -72*y + 0 - 2/7*y**3 + 506/7*y**2 = 0.
0, 1, 252
Let z(t) be the second derivative of -t**6/180 + t**4/12 - 2*t**3/9 + 49*t**2 + 174*t. Let j(g) be the first derivative of z(g). What is u in j(u) = 0?
-2, 1
Factor 47*r - 72*r + 29*r**4 - 136*r**2 - 25*r**4 + 25*r + 60*r**3.
4*r**2*(r - 2)*(r + 17)
Suppose -2/9*k**2 - 39200/9 - 560/9*k = 0. Calculate k.
-140
Determine a, given that 1978/3*a**2 - 146/3*a + 2/3*a**4 - 660 + 146/3*a**3 = 0.
-55, -18, -1, 1
Suppose 25 = -5*a, w + 9 - 26 = 3*a. Determine t so that 2*t**2 - 5*t**w - 8*t + 11*t - 3*t**2 = 0.
0, 1/2
Let v = 60294/31 + -421004/217. Determine m so that 0 - 12/7*m**3 + v*m**2 + 6/7*m = 0.
-1/6, 0, 3
Let v(n) = 587*n**2 + 2*n + 4 - 566*n**2 + 4*n - 24*n**3. Let g(q) = -3*q**3 + 1. Let y(i) = 4*g(i) - v(i). Let y(j) = 0. What is j?
-1/4, 0, 2
Let i(r) be the first derivative of r**3/21 - 534*r**2/7 + 285156*r/7 - 623. Factor i(f).
(f - 534)**2/7
Let y(k) be the second derivative of 31 - 2*k - 1/210*k**7 + 0*k**2 - 1/15*k**4 + 1/150*k**6 + 0*k**3 + 1/25*k**5. Find w such that y(w) = 0.
-2, 0, 1, 2
Let i = 50 - 43. Suppose -v + i = 2*l - 0, -l + 2*v - 4 = 0. What is z in 5 - 2*z**5 - 5 + 4*z**3 - l*z**4 = 0?
-2, 0, 1
Let o = -222 + 227. Let 16 + 5*v - o*v**2 - 33 + 27 = 0. What is v?
-1, 2
Let 42320 + 368*a + 4/5*a**2 = 0. Calculate a.
-230
Let u(i) be the second derivative of i**7/168 - 19*i**6/120 + 33*i**5/40 - 47*i**4/24 + 61*i**3/24 - 15*i**2/8 + 2643*i. Factor u(g).
(g - 15)*(g - 1)**4/4
Let j = -46043 + 92089/2. Factor 0*m - j*m**3 - 3/2*m**2 + 0.
-3*m**2*(m + 1)/2
Solve 2/3*j**3 + 250/3*j + 164/3 + 88/3*j**2 = 0 for j.
-41, -2, -1
Let p be 3/4*16884/16415*(4 - 9 - -26). Let h be -3*-4*(-1)/(-3). Suppose 21/5*k**h + 6*k**3 + 3/5*k**5 - 54/5*k**2 - p*k + 81/5 = 0. Calculate k.
-3, 1
Let u be 33830/12537 + 8/(-7). Factor u - 2/3*h**2 + 1/9*h**3 - h.
(h - 7)*(h - 1)*(h + 2)/9
Factor -1/2*s**4 - 145800 - 103*s**3 + 55620*s - 9529/2*s**2.
-(s - 5)**2*(s + 108)**2/2
Let k(w) be the third derivative of 5*w**9/3024 - w**8/112 + w**6/18 + 22*w**3/3 + 19*w**2. Let i(z) be the first derivative of k(z). Let i(f) = 0. Calculate f.
-1, 0, 2
Let h(c) be the second derivative of -c**4/30 + 4*c**3/15 + c**2 - 608*c. What is l in h(l) = 0?
-1, 5
Let a(v) be the third derivative of -1/10*v**5 + 162*v**2 + 0 + 1/784*v**8 + 1/70*v**7 + 1/56*v**4 - 1/140*v**6 + 1/2*v**3 + 0*v. What is h in a(h) = 0?
-7, -1, 1
Solve -8*x**3 + 65*x - 43/2*x**2 - 36 + 1/2*x**4 = 0.
-4, 1, 18
Suppose 59*z = 64*z - 190. Suppose 3*j - 28 + 19 = 0. Factor -z*a**3 + 27*a**3 + 32*a**j - 3*a**4 - 18*a**2.
-3*a**2*(a - 6)*(a - 1)
Suppose -3*g + 9 = 2*m + 1, 0 = -2*g + 4*m. Let w(h) be the first derivative of 3*h**g - 4 - 9 - 6*h**2 - h**3. Factor w(p).
-3*p*(p + 2)
Suppose -4*r + 5*w = -2*r - 77, -4*r + 2*w + 178 = 0. Suppose -3*t = 4*a - 14, -4*t + r*a = 42*a. Factor -1/4*h**t - 3/2 + 5/4*h.
-(h - 3)*(h - 2)/4
Let a(o) = -5*o**4 + 18*o**3 - 56*o**2 + 92*o - 8. Let l(n) = -n**4 + n**3 + n**2 + 5*n - 2. Let d(z) = -3*a(z) + 12*l(z). Find c, given that d(c) = 0.
0, 2, 6
Suppose -321*g + 309*g + 24 = 0. Factor 2*c**2 + 3471*c + 30 - 3480*c - 5*c**g.
-3*(c - 2)*(c + 5)
Determine t so that 21 + 13/3*t**2 - 1/3*t**3 - 17*t = 0.
3, 7
Let r(v) be the first derivative of v**5/20 + 51*v**4/16 - 53*v**3/12 - 51*v**2/8 + 13*v + 756. Factor r(l).
(l - 1)**2*(l + 1)*(l + 52)/4
Factor -550 - 2/11*a**4 + 216/11*a**3 - 5612/11*a**2 - 1080*a.
-2*(a - 55)**2*(a + 1)**2/11
Let c be ((-1443)/(-12))/((-23)/(-92)). Let x = 3370/7 - c. Factor 0*q - 12/7*q**2 + x*q**3 + 0.
3*q**2*(q - 4)/7
Let g = -543561 - -543564. Solve -2/15*b**g - 44/15 - 6/5*b + 8/5*b**2 = 0.
-1, 2, 11
Let r = 113/329 - -4/47. Let l be 80/14*19/(5320/105). Find p such that l*p**2 + 3*p + 9/7 + r*p**3 = 0.
-3, -1
Suppose -5*i + 12 = -4*o, 5*o = 3*i - 50 + 48. Suppose -10 = -2*x + 5*a - i*a, 4*x - 12 = -2*a. Factor 2/5*q**x + 2/5*q**2 + 6/5*q - 6/5*q**3 - 4/5.
2*(q - 2)*(q - 1)**2*(q + 1)/5
Suppose -9*w = 82*y - 86*y - 520, 39 = w + y. Find o, given that -w*o**3 - 2*o**5 + 0 - 64/9*o + 166/9*o**4 + 128/3*o**2 = 0.
0, 2/9, 1, 4
Find z such that 324*z - 2415 - 2*z**2 - 13*z**2 + 18*z**2 + 0*z**2 + 0*z**2 = 0.
-115, 7
Let w(v) be the third derivative of 70*v**2 + 0*v**3 + 1/120*v**6 + 0*v + 1/30*v**5 + 0 + 0*v**4. What is a in w(a) = 0?
-2, 0
Let m(g) = -4*g**3 - 14*g**2 + 2*g. Let k(q) = -21*q**3 - 69*q**2 + 11*q. Suppose -23*u + 84 = 38. Let w(y) = u*k(y) - 11*m(y). Let w(i) = 0. Calculate i.
-8, 0
Let k be 4560/855 + 15/9 - 52/10. What is b in k + 1/5*b**2 - 6/5*b = 0?
3
Factor 45/4*f + 87/8 + 3/8*f**2.
3*(f + 1)*(f + 29)/8
Let z be (-57)/(-798)*(3/(-6) + (-144)/(-64)). Factor -3/4 + 1/8*w**2 - z*w.
(w - 3)*(w + 2)/8
Let b = -831 + 829. Let y be ((-5)/(-6))/(7/(-21))*b. Let 0*k + 0*k**2 + 0*k**4 + 2/11*k**y + 0 - 2/11*k**3 = 0. Calculate k.
-1, 0, 1
Let y(m) be the second derivative of 5/3*m**3 + 5*m + 6*m**2 + 1/6*m**4 + 7. Factor y(s).
2*(s + 2)*(s + 3)
Let l(u) be the first derivative of -3*u**5/10 - 3*u**4 - 7*u**3/2 - 1323. Find i, given that l(i) = 0.
-7, -1, 0
Suppose -34*n = -8*n - 18*n. Let c(h) be the third derivative of 0*h**4 - 1/40*h**6 + 0*h + n + 0*h**3 + 1/20*h**5 + 6*h**2. Find o, given that c(o) = 0.
0, 1
Let y(s) = s**4 + 9*s**3 + 2*s**2 + 6*s - 12. Let r(m) = 11 - 19*m**3 - 5*m**2 + m**2 - 8 + 24 - 13*m - 1 - 2*m**4. Let i(f) = -6*r(f) - 13*y(f). Factor i(t).
-t**2*(t + 1)*(t + 2)
Let b be 5/11*264/40. Find i, given that -12*i**2 - 1/4*i**4 + 7/2*i**b + 49/4 - 7/2*i = 0.
-1, 1, 7
Suppose -9*q + 59 - 103 = -31*q. Let g(b) be the first derivative of -1/11*b**q + 1/22*b**4 + 13 - 4/33*b**3 + 4/11*b. Factor g(a).
2*(a - 2)*(a - 1)*(a + 1)/11
Factor 3/7*k**2 + 1854/7*k + 286443/7.
3*(k + 309)**2/7
Let d(z) = -2759*z - 1035. Let k(t) = t**2 - 4139*t - 1546. Let q(m) = 8*d(m) - 5*k(m). Let q(h) = 0. Calculate h.
-275, -2/5
Let f(j) be the third derivative of j**5/36 + 145*j**4/72 - 25*j**3/3 - 2104*j**2. Find u, given that f(u) = 0.
-30, 1
Suppose 10404*l - 117912 - 1680*l**2 + 498*l**2 + 3*l**3 + 876*l**2 = 0. Calculate l.
34
Let c(f) be the second derivative of -1/25*f**5 - 1/150*f**6 + 3*f - 1/20*f**4 + 0*f**3 + 0 + 0*f**2. Let c(q) = 0. What is q?
-3, -1, 0
Factor -60 - 3*r**2 + 369 + 396*r + 3 + 492.
-3*(r - 134)*(r + 2)
Suppose -10 - 13 = 3*r + 2*s, -5*r - 5*s = 45. Let w be 264/2 - (r + 1). Factor 138 - p - 6*p - 4*p**2 - w.
-(p + 2)*(4*p - 1)
Suppose -w + 3*w = h + 54, 5*h = 2*w - 38. Factor 20*m + 9 + 0 - w + 15*m**2.
5*(m + 2)*(3*m - 2)
Suppose 55*m + 28 = 53*m. Let l = m - -17. Let -14*x**l + 2*x**3 - 9*x**2 - 231 + 231 + 3*x = 0. What is x?
-1, 0, 1/4
Let 3*k**2 - 575 + 42*k - 3*k**2 + 65*k + 13*k - k**2 = 0. Calculate k.
5, 115
Let u = 13/165 - -31/770. Let r(h) be the second derivative of -1/4*h**5 + 5/12*h**4 - 1/6*h**6 + 0*h**2 + u*h**7 + 0 + 0*h**3 + 9*h. Factor r(v).
5*v**2*(v - 1)**2*(v + 1)
Let t(f) be the first derivative of 4*f**3/3 - 256*f**2 + 508*f + 89. Factor t(h).
4*(h - 127)*(h - 1)
Let a(i) be the second derivative of -i**6/6 - 5*i**5 - 15*i**4/2 + 50*i**3/3 + 95*i**2/2 + 11*i - 32. Factor a(v).
-5*(v - 1)*(v + 1)**2*(v + 19)
Let z be ((-2 - (1 + -6)) + -2)*5. Suppose 0*l + 10 = z*l. What is b in l*b**3 - 1 - 10*b**2 + 0*b + 5*b - 7*b**3 + 11 = 0?
-2, -1, 1
Let o(r) be the first derivative of -2*r**5/35 - 2*r**4/7 + 2*r**3/3 + 10*r**2/7 - 1636. Factor o(c).
-2*c*(c - 2)*(c + 1)*(c + 5)/7
Let r be -2 + 200 + -9 + 0/(-1). Factor 9*q**2 + 0*q - 5*q**3 - 187 + r - 5*q - 2*q + q**4.
(q - 2)*(q - 1)**3
Let r(f) be the first derivative of 1/170*f**5 - 1/51*f**3 + 0*f**2 - 3 + 0*f**4 - 14*f. Let s(m) be the first derivative of r(m). Factor s(j).
2*j*(j - 1)*(j + 1)/17
Factor -435*c**2 + 1662*c**4 - 505 - 1667*c**4 + 125*c**3 - 1265*c - 195.
-5*(c - 20)*(c - 7)*(c + 1)**2
Let a(f) be the third derivative of f**7/42 + 33*f**6 + 52535*f**5/4 + 780125*f**4/12 + 2*f**2 - 21*f - 8. Solve a(v) = 0 for v.
-395, -2, 0
Suppose -34*p**2 + 775 - 31*p**2 - 65*p**2 + 51*p**3 - 56*p**3 - 45*p**2 - 595*p = 0. Calculate p.
-31, -5, 1
Suppose -3*o + 4*h =