h**4 + g*h**2 + h**4 + 0*h**2 + h**3.
-h**2*(h - 2)*(h + 1)
Find j such that 0 - 1/4*j**5 + 19/2*j**2 - 19/2*j**4 + 37/4*j - 9*j**3 = 0.
-37, -1, 0, 1
Factor 5*n**5 + 2*n - 3*n - 440*n**3 - 2090*n**4 + n + 2525*n**4.
5*n**3*(n - 1)*(n + 88)
Factor 6/7*l**2 - 1620/7*l - 1626/7.
6*(l - 271)*(l + 1)/7
Suppose 621 + 135 = 21*n. Suppose -17*m + 70 - n = 0. Solve 10/11*g**4 - 16/11*g**3 + 8/11*g**m - 2/11*g**5 + 0*g + 0 = 0 for g.
0, 1, 2
Let g = -512 - -531. Suppose 30 = 5*v - 5*n, 16*v - 2*n + 8 = g*v. Suppose 56/5*w**5 - 26/5*w**v - 82/5*w**3 + 4/5 + 26/5*w + 22/5*w**2 = 0. What is w?
-1, -2/7, -1/4, 1
Let a(z) = 3*z**3 + 39*z**2 + 35*z - 10. Let x be a(-12). Let w = 133 - 131. Find k such that -14/5 + 2/5*k**3 - 26/5*k - w*k**x = 0.
-1, 7
Let y(b) be the first derivative of -5*b**6/6 - 45*b**5 + 115*b**4/2 + 5542. Factor y(q).
-5*q**3*(q - 1)*(q + 46)
Let o(f) be the second derivative of -f**8/252 - 11*f**7/630 - f**6/72 + f**5/90 - 10*f**2 - 32*f. Let c(v) be the first derivative of o(v). Solve c(i) = 0.
-2, -1, 0, 1/4
Let f be ((-15)/63 + 8/(-24))/(22*4/(-308)). Find l, given that 56/3 + 2/3*l**f + 32/3*l = 0.
-14, -2
Let g be 4/(-10) - (2/(-4) + (-162)/(-1620)). Let j(m) be the first derivative of g*m**2 - 20 - 1/4*m**3 + 0*m. Solve j(h) = 0 for h.
0
Factor 2/13*l**3 + 162/13*l + 36/13*l**2 + 216/13.
2*(l + 3)**2*(l + 12)/13
Suppose -194/13*c**2 - 190/13*c - 50/13*c**3 + 150/13 - 4/13*c**4 = 0. What is c?
-5, -3, 1/2
Let q(y) = y**3 - 135*y**2 - 131*y + 5. Let a be q(-1). Solve a + 2/11*r**2 + 8/11*r = 0.
-4, 0
Suppose -20*r + r = 21*r - 64*r. Factor -8/3*k**4 + 28/3*k**2 + 0 + r*k + 110/3*k**3.
-2*k**2*(k - 14)*(4*k + 1)/3
Let u(s) be the first derivative of 1/8*s**4 + s**2 + 0*s - 2/3*s**3 - 75. Factor u(z).
z*(z - 2)**2/2
Let f(y) be the second derivative of 2*y**7/21 - 4*y**6/15 - 3*y**5/5 + 8*y**4/3 - 8*y**3/3 + y - 118. Let f(s) = 0. What is s?
-2, 0, 1, 2
Let b(c) be the third derivative of -c**6/30 + 19*c**5/15 - 3*c**4 + 2*c**2 - 529. Determine o, given that b(o) = 0.
0, 1, 18
Suppose -4*o - 20 = 3*j, 44*j = 5*o + 48*j + 25. Let z be ((-1)/o - 0)/(140/100). Let z*i**5 + 0*i**2 + 0*i + 1/7*i**4 - 2/7*i**3 + 0 = 0. What is i?
-2, 0, 1
Suppose -10*d + 1292 = 1482. Let l be d - -16 - (3 + -9). Factor 0*x**2 - 2/9*x**l + 0 + 2/9*x.
-2*x*(x - 1)*(x + 1)/9
Let r(t) be the first derivative of 23*t**2 + 21 + 1058*t + 1/6*t**3. Solve r(k) = 0.
-46
Let 2/7*m**2 + 342792/7 + 1656/7*m = 0. What is m?
-414
Let r be 402/(-335)*(-10)/6. Let g(a) be the first derivative of 0*a**r + 12 - 5*a + 5/3*a**3. Factor g(l).
5*(l - 1)*(l + 1)
Let k(b) be the second derivative of -b**5/360 + b**4/144 + b**3/3 - 27*b**2 - 2*b + 5. Let q(f) be the first derivative of k(f). Suppose q(a) = 0. Calculate a.
-3, 4
Let g(u) be the second derivative of u**4/4 - 268*u**3 + 107736*u**2 + 27*u + 1. Solve g(k) = 0.
268
Let j be 168/10 + (-21)/(-105). Let u be ((-255)/j + 7)*(-1)/10. Factor u*z - 24/5 + 4/5*z**2.
4*(z - 2)*(z + 3)/5
Suppose 4*s - 3*o = 39, -2*s + 15656*o - 3 = 15657*o. Determine u, given that -9*u - 27/4*u**2 - s = 0.
-2/3
Let o(b) be the first derivative of b**4/4 + 3*b**3 - 21*b**2/2 + 50*b - 97. Let h(z) be the first derivative of o(z). Suppose h(c) = 0. What is c?
-7, 1
Let h(s) be the third derivative of -s**5/20 + s**4/4 + s**3/2 - 54*s**2. Let z(g) = 3*g**2 - 6*g - 2. Let v(w) = -5*h(w) - 6*z(w). Factor v(a).
-3*(a - 1)**2
Let -3/8*c**4 - 1317/4*c**3 - 72600 + 144870*c - 575523/8*c**2 = 0. Calculate c.
-440, 1
Let t(p) be the first derivative of p**4/16 - 11*p**3/12 + 35*p**2/8 - 25*p/4 - 750. Let t(o) = 0. Calculate o.
1, 5
Let b be -5 + (-3)/(6/(-16)). Factor -v**b + 18*v**2 + 0*v - 3*v + 8*v - 20*v**2 + 6.
-(v - 2)*(v + 1)*(v + 3)
Suppose -1113301*y**2 - 4*y**4 + 262581162*y - 253854465 - 656927*y**2 + 3990*y**3 + y**4 - 6960456 = 0. What is y?
1, 443
Let i(s) be the second derivative of s**5/170 + 1298*s**4/51 + 1684804*s**3/51 + s + 533. Factor i(u).
2*u*(u + 1298)**2/17
Factor 58320 + 16524*b + 113/4*b**3 + 1/4*b**4 + 1107*b**2.
(b + 5)*(b + 36)**3/4
Let m(a) = a**3 - a**2 - 18*a + 22. Let p(w) = 4*w**3 - 4*w**2 - 73*w + 91. Let g(j) = -9*m(j) + 2*p(j). Determine d, given that g(d) = 0.
-4, 1, 4
Let b(y) be the third derivative of y**6/180 - 19*y**5/45 - 14*y**4/3 - 5*y**2 + 19*y - 1. Factor b(u).
2*u*(u - 42)*(u + 4)/3
Determine h so that h - 78/7 + 1/7*h**2 = 0.
-13, 6
Let z be 18/22*21/126*8. Solve 18/11*k**2 - 30/11*k + 6/11*k**3 + z - 6/11*k**4 = 0.
-2, 1
What is q in -348*q + 60552 + 1/2*q**2 = 0?
348
Suppose -6*m = -m - 25. Find l, given that -m*l**2 - 5*l**2 - 5*l**2 - 6 + 15*l + 3*l**4 - 3*l**3 + l**2 + 5*l**2 = 0.
-2, 1
Let z be (-272)/(-14) + (-132)/14 + 10. Suppose 5*q = -4*p + 7*q + z, 4*p + 4*q = -4. Factor 2/5*v - 1/10*v**4 + 0 - 3/10*v**p + 0*v**2.
-v*(v - 1)*(v + 2)**2/10
Suppose -88*b - 40822 = 196250. Let m = 2697 + b. Solve -2/5*k + 0 + 6/5*k**2 - 4/5*k**m = 0.
0, 1/2, 1
Let k(a) be the second derivative of -1/35*a**5 - 864/7*a**3 + 0*a**2 - 60*a - 24/7*a**4 + 0. Determine g so that k(g) = 0.
-36, 0
Let t(z) be the first derivative of 2*z**5/17 + 14*z**4/17 + 22*z**3/17 + 2*z**2/17 - 16*z/17 + 2160. Determine n so that t(n) = 0.
-4, -1, 2/5
Let f = -62/1275 - -35048/738225. Let m = f + 1160/1737. Factor -4/3 + 2/3*t + 4/3*t**2 - m*t**3.
-2*(t - 2)*(t - 1)*(t + 1)/3
Let z = -18444/7 + 2635. Let o(s) be the first derivative of -1/21*s**3 - 10 - 1/7*s**2 - z*s. Find u such that o(u) = 0.
-1
Let q = 105359/7 - 14967. Let i = 1201/14 - q. What is n in 0*n + 9/4*n**3 + 0 - 3/4*n**4 - i*n**2 = 0?
0, 1, 2
Let c(p) be the first derivative of -11 + 9/5*p + 0*p**2 - 1/15*p**3. Find l, given that c(l) = 0.
-3, 3
Let t = 6 - 1. Factor 100*p + 60 - 30*p**3 - t*p**4 + 0*p**4 - 18*p**2 + 33*p**2.
-5*(p - 2)*(p + 1)**2*(p + 6)
Factor 624*k**2 - 519168*k - 1/4*k**3 + 143982592.
-(k - 832)**3/4
Suppose -5*i + 15 = 0, -2*l = -18*i + 14*i - 3974. Let g = -1991 + l. Solve -34/3*v**g + 8/3 - 12*v**3 + 0*v - 10/3*v**4 = 0.
-2, -1, 2/5
Let j(t) be the second derivative of -1 + 4/7*t**2 + 1/21*t**3 - 2/21*t**4 - 1/70*t**5 - 138*t. Factor j(w).
-2*(w - 1)*(w + 1)*(w + 4)/7
Let m be (68/(-51))/((-4)/(-6)). Let f be m + (10 - 2) - 4. Factor 2*v - v + f*v**2 + 8*v - v.
2*v*(v + 4)
Determine t so that -8/7*t**2 - 4/7*t**3 + 8/7 + 4/7*t = 0.
-2, -1, 1
Let g(m) be the second derivative of m**4/6 - 53*m**3/3 + 1249*m. Factor g(q).
2*q*(q - 53)
Let x(n) be the third derivative of 25*n**8/1008 + 29*n**7/126 + 79*n**6/360 - 25*n**5/36 - 13*n**4/9 - 10*n**3/9 + 1309*n**2 + n. Let x(y) = 0. Calculate y.
-5, -1, -2/5, 1
Let y(x) be the second derivative of -x**5/8 + 2825*x**4/12 + 5665*x**3/3 + 5670*x**2 - 8*x + 57. Factor y(l).
-5*(l - 1134)*(l + 2)**2/2
Let q(f) be the first derivative of -f**5/5 + 14*f**4 - 376*f**3/3 - 5712*f**2 - 41616*f + 645. Factor q(t).
-(t - 34)**2*(t + 6)**2
Suppose -27 = -5*x - 3*m, 7*x - 6*x - m + 1 = 0. Let c(k) be the second derivative of k - 125/12*k**4 + 9/4*k**5 + 0 + 0*k**2 - 5*k**x. Let c(o) = 0. What is o?
-2/9, 0, 3
Let p(y) = -2728*y**2 + 1817*y + 914. Let j(v) = -v**3 + 13642*v**2 - 9085*v - 4572. Let l(u) = 3*j(u) + 16*p(u). Factor l(s).
-(s - 1)*(s + 908)*(3*s + 1)
Let x be (-2)/(-7) - (-40)/7. Let l(v) = 20*v**2 + 3*v. Let a(b) = 7*b**2 + b. Suppose -16*h - 35*h = 867. Let c(w) = h*a(w) + x*l(w). Factor c(i).
i*(i + 1)
Let h(t) = -5*t**3 - 20*t**2 - 102*t - 114. Let u(f) = 13*f**3 + 38*f**2 + 201*f + 229. Let q(i) = -15*h(i) - 6*u(i). Find c, given that q(c) = 0.
-2, 28
Suppose -2*i + 4*j + 26 = -0*i, -3*i - 2*j = -7. Solve -7*d**3 - i*d**3 + 5*d**3 - 30*d**2 + 2*d**3 - 55*d - 30 = 0 for d.
-3, -2, -1
Let v be -28*((-9)/(-18))/(2/(-3)). Let o(i) be the third derivative of -1/12*i**4 - 1/15*i**5 + 0 - v*i**2 + 0*i + 2*i**3. Factor o(b).
-2*(b + 2)*(2*b - 3)
Let x(v) be the second derivative of -v**5/90 - 73*v**4/27 - 572*v**3/27 - 568*v**2/9 + 399*v - 1. Factor x(j).
-2*(j + 2)**2*(j + 142)/9
Suppose -4/3*f**4 - 4/3*f**3 - 96 + 152/3*f**2 + 48*f = 0. What is f?
-6, -2, 1, 6
Suppose -10*l + 540 = 8*l. Let q(c) = c**3 - 3*c**2 - 27*c - 11. Let j(g) = -g**2 + g. Let v(i) = l*j(i) + 5*q(i). Factor v(d).
5*(d - 11)*(d + 1)**2
Factor 0 - 1/5*j - 1/5*j**2.
-j*(j + 1)/5
Let h = 37 - 187. Let n be 57/45 + (-210)/h. Factor -4/3