
Let t = -10724 + 10727. Suppose -7/4 - 1/4*m**t + 1/4*m + 7/4*m**2 = 0. What is m?
-1, 1, 7
Let h(j) = -5*j**2 - 86*j + 186. Let q(y) = -3*y**2 + 216 + 6 - 85*y - 37 - 2*y**2. Let p(c) = 5*h(c) - 6*q(c). Factor p(n).
5*(n - 2)*(n + 18)
Let d(i) be the first derivative of -i**4/30 + 14*i**3/9 + 112*i**2/15 + 152*i/15 + 3146. Solve d(g) = 0.
-2, -1, 38
Suppose 3*y - 4*f = 6 - 4, 0 = 4*y + f - 9. Factor -2*b + b**3 + 3*b**y + 0*b**2 + 3*b - b**2.
b*(b + 1)**2
Let x be (-8 + 2)*(-15)/(-275). Let q = 28/55 + x. Solve 2/11 - q*f**2 + 0*f = 0 for f.
-1, 1
Let j be (-207)/((17 - 14) + -3 + -1). Factor 11*q**3 - 222*q**2 + 16*q + 465*q**2 + q**4 - 64 - j*q**2.
(q - 1)*(q + 4)**3
Let d(g) = -5*g**2 - 133*g + 106. Let c(f) = -4*f**2 - 120*f + 106. Let j(k) = -6*c(k) + 5*d(k). Factor j(a).
-(a - 53)*(a - 2)
Let g(t) = t**2 - 7*t. Let o = -196 - -202. Let d(x) = x**2 - 5*x. Let i(h) = o*d(h) - 5*g(h). Factor i(j).
j*(j + 5)
Let j be (24/44)/(-22 - 4655/(-209)). Determine u, given that 25/4*u + 0 + 5/4*u**j = 0.
-5, 0
Find h, given that 526*h - 516 - 28*h**2 - 24*h + 757*h - 43*h = 0.
3/7, 43
Let j(m) = -8*m**2 + 3*m + 77. Let l(y) = 23*y**2 - 8*y - 232. Let k = 155 + -163. Let f(o) = k*j(o) - 3*l(o). Solve f(a) = 0.
-4, 4
Let v be (-4914)/(-36)*108/21. Let t = -698 + v. What is c in 0 + 27/4*c**2 + 21/4*c**t + 3/4*c + 45/4*c**3 = 0?
-1, -1/7, 0
Suppose 97*j - 252 = 34*j. Let f = 2 - -2. Factor 12*g**j + g**3 + g**4 + 4 - 7*g**2 - 4*g**4 - 6*g**f - g**5.
-(g - 2)**2*(g - 1)*(g + 1)**2
Let h = -16553 - -546251/33. Let s(i) be the second derivative of 1/44*i**4 + 19*i - 1/220*i**5 + 0 + 0*i**2 + h*i**3. Factor s(n).
-n*(n - 4)*(n + 1)/11
Let m = -2444296/5 - -488862. Suppose -16/5*z**2 + 0 - m*z - 2/5*z**3 = 0. What is z?
-7, -1, 0
Let p(w) be the second derivative of 2/3*w**3 + 1 + 0*w**2 - 15/2*w**4 - 72*w. Factor p(u).
-2*u*(45*u - 2)
Let f = -3102 + 3102. Let r(a) be the third derivative of 21*a**2 - 1/240*a**5 + f - 1/12*a**3 + 1/32*a**4 + 0*a. Factor r(c).
-(c - 2)*(c - 1)/4
Let c be (-20)/(-7) + 1 + (-15)/(-105). Factor -111*q**2 + 4*q**3 - 2*q**c + 65*q**2 + 62*q**2.
-2*q**2*(q - 4)*(q + 2)
Let l be 24/9 + (-4)/6. Factor -7503*v**2 + 0*v**3 + v**3 + 7497*v**l.
v**2*(v - 6)
Let x be 1 - 6/(-42) - (-11)/11. Let i(k) be the first derivative of -7 - 24/7*k + x*k**2 - 2/7*k**3. Factor i(d).
-6*(d - 4)*(d - 1)/7
Let s(g) = -g**2 + 32*g + 278. Let f be s(41). Let v be (2 - f/(-56))*2. Factor 1/2 + 1/4*b**2 - v*b.
(b - 2)*(b - 1)/4
Let q(b) be the second derivative of -5*b**3/6 - 207*b**2/2 + 54*b. Let c be q(-42). Factor -3/7 - 1/7*d**4 + 6/7*d**c - 12/7*d**2 + 10/7*d.
-(d - 3)*(d - 1)**3/7
Suppose 30*v + 3/5*v**3 + 168/5 + 39/5*v**2 = 0. Calculate v.
-7, -4, -2
Let h(x) be the first derivative of x**5/30 - 5*x**4/8 + 31*x**3/9 - 4*x**2 - 162. Find f, given that h(f) = 0.
0, 1, 6, 8
Let i(y) = -16*y**3 - 2*y**2 + 4*y + 15. Let m be i(5). Let b = 2017 + m. Factor 2/3*s**b + 1/3*s**3 + 0*s + 0.
s**2*(s + 2)/3
Let c(o) be the first derivative of -7*o**5 + 55*o**4/4 + 310*o**3/3 + 60*o**2 - 571. What is t in c(t) = 0?
-2, -3/7, 0, 4
Let c(b) be the second derivative of b**6/180 - b**5/60 + b**4/72 + 2*b + 49. Factor c(d).
d**2*(d - 1)**2/6
Let s(m) be the third derivative of -m**4 - 7*m**2 + 9/40*m**6 + 0*m**3 + 0*m + 0 - 17/10*m**5. Let s(p) = 0. Calculate p.
-2/9, 0, 4
Let o(c) be the first derivative of 3*c**5/5 - 279*c**4/2 + 9189*c**3 - 75330*c**2 + 218700*c - 4752. Suppose o(x) = 0. What is x?
3, 90
Let y(x) be the third derivative of -5*x**6/24 - 17*x**5/4 + 145*x**4/4 - 260*x**3/3 + 5447*x**2. Determine u, given that y(u) = 0.
-13, 4/5, 2
Factor -1/5*h**3 + 0 - 1/5*h**4 + 10*h**2 - 48/5*h.
-h*(h - 6)*(h - 1)*(h + 8)/5
Let q(c) = -8*c**2 - 3184*c - 316648. Let t(w) = 20*w**2 + 7960*w + 791636. Let s(j) = -12*q(j) - 5*t(j). Factor s(g).
-4*(g + 199)**2
Let u = 57 + -51. Suppose 0 = i + u - 8. Factor -i*r**3 - 4*r**3 + 8*r**4 - 6*r**4.
2*r**3*(r - 3)
Let h be 3/(-21) + (-36)/(-7). Solve 3 - h - 4*a + a**3 + 2*a**2 - 5 - 1 = 0 for a.
-2, 2
Factor -84*w**2 + 6703 - 20275*w**3 + 20277*w**3 + 3297 + 450*w.
2*(w - 25)**2*(w + 8)
Let y = 1378 - 1086. Let k be (y/(-20) + 13)*(-10)/8. Find u, given that -1/8*u**3 + 0 - k*u - u**2 = 0.
-4, 0
Let r = 27 - 25. Suppose -13*s + 48 = -s. Factor -g**3 + 21 - 2*g**r - 35 + 14 + g**s.
g**2*(g - 2)*(g + 1)
Let y be 87 + (-28 + 29)/(-5*(-7)/(-315)). Solve 90 - 58/5*h**2 - y*h - 2/5*h**3 = 0.
-15, 1
Suppose 0 = 7*a - 1 - 20. Suppose -a*x = -5*x + 30. Determine n, given that 24*n**3 + 10 + 18*n**3 + x*n - 47*n**3 = 0.
-1, 2
Let n(z) be the first derivative of z**3/9 - 4*z**2 - 340*z/3 + 499. Find j, given that n(j) = 0.
-10, 34
Let w(z) = 4*z**4 - 22*z**3 + 120*z**2 + 988*z + 1668. Let k(g) = -2*g**4 + g - 1. Let m(h) = -4*k(h) - w(h). Factor m(n).
2*(n + 4)**3*(2*n - 13)
Factor 8/3*h + 220/9 - 4/9*h**2.
-4*(h - 11)*(h + 5)/9
Let a = 122728/3 - 40909. Determine y so that -2/3*y**5 - a*y - 2/3 + 7/3*y**2 - 1/3*y**4 + 7/3*y**3 = 0.
-1, 1/2, 2
Let t(g) be the third derivative of g**7/840 + 379*g**6/240 + 47627*g**5/80 - 36005*g**4/12 + 18050*g**3/3 - 2*g**2 + 77*g. Factor t(i).
(i - 1)**2*(i + 380)**2/4
Let w(r) be the second derivative of r**7/21 - 8*r**6/15 - r**5 + 4*r**4/3 + 3*r**3 - 3*r + 8. Determine s so that w(s) = 0.
-1, 0, 1, 9
Let o be -3 + 1 - (270/(-44))/3. Let g = o - -17/110. What is q in -g*q**2 + 1/5*q + 2/5 = 0?
-1, 2
Solve -327/7 + 330/7*m + 324/7*m**2 + 3/7*m**4 - 330/7*m**3 = 0.
-1, 1, 109
Find s, given that -2/7*s**2 - 36/7*s + 176/7 = 0.
-22, 4
Let c(x) = -17*x**4 + 9*x**3 - x**2 - 9*x. Let n(s) = 77*s**4 - 37*s**3 + 4*s**2 + 37*s. Let g(o) = 9*c(o) + 2*n(o). Let g(y) = 0. What is y?
-7, -1, 0, 1
Let t(k) be the first derivative of -k**5/25 + 2*k**4/5 + 8*k**3/5 - 16*k**2/5 - 16*k + 693. Find d, given that t(d) = 0.
-2, 2, 10
Let x(j) be the first derivative of j**6/80 + j**5/5 - j**4/16 - 2*j**3 - 46*j**2 - 200. Let m(a) be the second derivative of x(a). Factor m(s).
3*(s - 1)*(s + 1)*(s + 8)/2
What is z in 2/3 - 2/9*z**3 - 2/3*z**2 + 2/9*z = 0?
-3, -1, 1
Let d(r) be the first derivative of 0*r - 40/3*r**3 - 1/3*r**6 + 12*r**2 + 7/2*r**4 + 4/5*r**5 - 95. Let d(g) = 0. What is g?
-3, 0, 1, 2
Let t(a) = 10*a**3 + 24*a**2 + 36*a + 12. Let c(f) = -21*f**3 - 48*f**2 - 72*f - 26. Let j be (-8 + 9)/((-3)/18). Let l(x) = j*c(x) - 13*t(x). Factor l(s).
-4*s*(s + 3)**2
Let g(q) be the third derivative of -24389/18*q**3 - 841/24*q**4 + 2*q + 0 - 29/60*q**5 - 40*q**2 - 1/360*q**6. Factor g(i).
-(i + 29)**3/3
Let w(y) be the second derivative of -y**6/270 - 191*y**5/180 + 459*y + 2. Factor w(t).
-t**3*(t + 191)/9
Let p = 50240/391 + -2820/23. Let -2/17*u**3 - p - 24/17*u**2 - 90/17*u = 0. Calculate u.
-5, -2
Suppose 123*g - 46 = -3*z + 121*g, 2 = z - 2*g. Let m(n) be the second derivative of -1/24*n**4 + 0 - z*n + 2*n**2 + 1/6*n**3. Determine l so that m(l) = 0.
-2, 4
Let i = 264 + 128. Let t = 1968/5 - i. What is n in 22/5*n**4 + 4/5 - t*n**5 - 2/5*n**3 - 26/5*n**2 + 2*n = 0?
-1, -1/4, 1, 2
Let a(y) = 3*y**4 + 83*y**3 + 478*y**2 + 928*y + 614. Let m(i) = -i**4 - 2*i**2 + 2*i + 1. Let p(l) = a(l) + 2*m(l). Solve p(r) = 0.
-77, -2
Let p be 228/456*(4 - 3)*0. Solve 3/5*s**4 + 3/5*s**3 + 1/5*s**5 + 1/5*s**2 + 0*s + p = 0.
-1, 0
Let s(d) be the second derivative of 1/126*d**7 + 11/90*d**6 + 176*d + 13/20*d**5 + 22/9*d**3 + 61/36*d**4 + 2*d**2 + 0. Solve s(g) = 0.
-6, -2, -1
Let k(c) = -8*c + 4. Let o be k(0). Find d, given that -218*d**3 + 0*d**o + 194*d**3 + 7*d**4 - 3*d**4 - 28*d**2 = 0.
-1, 0, 7
Factor 516*s**3 + 2660*s**2 - 25856*s**2 + 644*s**4 + 686*s**4 - 84672 - 1333*s**4 + 86688*s.
-3*(s - 84)**2*(s - 2)**2
Let v(t) be the third derivative of -t**6/90 - 4*t**5/5 + 25*t**4/6 - 11*t**3/3 + 32*t**2. Let n(d) be the first derivative of v(d). Solve n(u) = 0.
-25, 1
Let f be (5470/(-3))/(-1)*7/14. Let h = 929 - f. Factor -22/3*y - 16*y**2 - h*y**3 - 28/3*y**4 - 2*y**5 - 4/3.
-2*(y + 1)**4*(3*y + 2)/3
Factor -21*o**2 + 286 + 211*o + 120*o + 84*o.
-(3*o + 2)*(7*o - 143)
Let z be 3 - (-15)/(-2 - -1). Let p be ((-128)/z + -2)*6. Factor 10 - 29*v**3 - 48*v - 7 + p*v**2 + 4*v**4 + 5*v**3 + 13.
4*(v - 2)**2*(v - 1)**2
Factor 27*h**3 + 29*h**4 + 7*h**5 - 29*h**2 + 21*h**4 - 28*h - 6*h**5 - 21*h**4.
h*(h - 1)*(h + 1)**2*(h 