 - 8 - 3*x**2 + 257*x.
-3*(x - 1)**2*(x + 3)
Let b(c) = -c**3 + c**2 - 5*c + 1. Let i(r) = 2*r**3 - r**2 + 40*r - 53. Let x(w) = 3*b(w) + i(w). Factor x(q).
-(q - 5)*(q - 2)*(q + 5)
Suppose 34*k - 52/9*k**2 + 2/9*k**3 + 40 = 0. What is k?
-1, 12, 15
Suppose -4*a = -9*a - 15, 18 = 2*g + 4*a. Determine l, given that -5*l**4 + g*l**3 + 14*l**3 - 10*l**3 - 20*l**2 + l**3 = 0.
0, 2
Let u(b) = 3*b**3 - 2779*b**2 + 640337*b + 643051. Let g(n) = 30*n**3 - 27789*n**2 + 6403368*n + 6430524. Let x(w) = 4*g(w) - 39*u(w). Factor x(f).
3*(f - 463)**2*(f + 1)
Let l be (24/(-3))/8 + (2880/832 - (-12)/(-26)). Factor -4/9 - 2/9*w**l + 2/3*w.
-2*(w - 2)*(w - 1)/9
Let n be -2 - 2 - (-2051)/7. Suppose 9*z - 107 = n. What is t in -15*t**2 - 9*t + z*t**2 + 6*t**3 - 14*t**2 = 0?
-3, 0, 1/2
Let 74478632*s**5 + 24*s**3 + 2*s**2 - 6*s**2 - 21*s**4 - 74478627*s**5 = 0. What is s?
0, 1/5, 2
Let n(a) = -4 - 3 + 8. Let h = 65 + -60. Let r(t) = -t**2 + 8*t - 4. Let f(q) = h*r(q) + 20*n(q). Factor f(i).
-5*i*(i - 8)
Let a = -17/707 - -219/707. Suppose 0*u + 0 + 0*u**2 + 2/7*u**4 + a*u**3 = 0. What is u?
-1, 0
Suppose -3*w - 5*g + 55 = 0, -17*w + 15*w + 3*g - 33 = 0. Let w - 1/2*r**3 + 0*r**2 + 3/4*r**4 - 1/4*r**5 + 0*r = 0. What is r?
0, 1, 2
Solve -480/7 + 57/7*z**2 - 4554/7*z = 0 for z.
-2/19, 80
Suppose 14 + 14 - 192 = -82*w. Factor 2/7*g**w + 74/7*g - 76/7.
2*(g - 1)*(g + 38)/7
Let d(n) be the first derivative of 30 + 16/7*n**2 - 20*n - 2/3*n**3 - 1/21*n**4. Let h(z) be the first derivative of d(z). Determine t, given that h(t) = 0.
-8, 1
Let j = 21 + -18. Let i(a) be the first derivative of 4*a**j + 9 + a**2 - 6*a**2 + a**3 - a**5 + 0*a**2. Let i(s) = 0. What is s?
-2, 0, 1
Let a be 165/22*(4 - -2). Let v(d) = -46 + d**4 + 3*d - 3*d + a - d**2. Let q(m) = -7*m**4 - 4*m**3 - 4*m + 5. Let c(j) = -q(j) - 6*v(j). Factor c(x).
(x + 1)**4
Determine v, given that 3/2 + 1653/4*v - 1245/2*v**2 + 831/4*v**3 = 0.
-1/277, 1, 2
Suppose -158 = -70*t + 192. Suppose 38*x = -19*x + t*x. Factor x - 1/4*s**3 + 0*s - 7/4*s**2.
-s**2*(s + 7)/4
Let r(m) be the third derivative of m**5/15 - 25*m**4/6 - 448*m**3/3 - 3509*m**2. Factor r(d).
4*(d - 32)*(d + 7)
Let l(w) = -14*w - 171. Let i be l(-13). Suppose 10*q = i*q + 3*y - 12, 5*y - 20 = -5*q. Find k, given that 7/6*k**3 - 1/3*k**2 - 1/2*k - 1/3*k**4 + q = 0.
-1/2, 0, 1, 3
Let p be (44/198)/(-2 - (-57)/27). Factor -54*f - 67*f + 12*f - 99*f**2 + 45*f**4 - 116*f**p - 55*f**3 + 30 + 24*f.
5*(f - 3)*(f + 1)**2*(9*f - 2)
Let c(k) = 2*k**2 - 2*k + 1. Suppose 16 = 4*v, 8*v - 15 = -5*n + 3*v. Let i(z) = 10*z**2 + 2*z - 6. Let m(l) = n*i(l) + 6*c(l). Factor m(t).
2*(t - 6)*(t - 1)
Let i(z) be the second derivative of z**7/189 - 7*z**6/135 + z**5/30 + 23*z**4/54 - 32*z**3/27 + 4*z**2/3 + 7108*z. Factor i(n).
2*(n - 6)*(n - 1)**3*(n + 2)/9
Let h = 2813/504 + -155/72. Let b be ((-6)/(-8))/((-14)/(-8)). Suppose h*s + 48/7 + b*s**2 = 0. Calculate s.
-4
Let c(z) = -5*z**4 + 247*z**3 + 5*z**2 - 245*z + 4. Let i(b) = b**3 + 2. Let m(q) = -c(q) + 2*i(q). Factor m(v).
5*v*(v - 49)*(v - 1)*(v + 1)
Let s(x) be the third derivative of -x**6/60 + 26*x**5/15 + 55*x**4/3 + 224*x**3/3 - 423*x**2. What is m in s(m) = 0?
-2, 56
Let g(w) be the second derivative of w**6/150 - 8*w**5/25 - 47*w**4/12 + 133*w**3/15 + 631*w + 3. Suppose g(s) = 0. Calculate s.
-7, 0, 1, 38
Solve -68*r - 3*r**3 + 822 - 1574*r - 6*r**3 + 5*r**3 + 818*r**2 + 6*r**3 = 0.
-411, 1
Suppose 5*r + 1 + 8 = -4*h, 25 = -5*r. Let -9*p**2 - p**2 + 4*p**4 + 15*p**3 - 14*p**3 + p**4 + h*p**3 = 0. Calculate p.
-2, 0, 1
Suppose 2*x + x - 6 = 0. Suppose 20*d + 135 = 65*d. Factor -3*v**2 - 6*v**5 - 6*v**4 + d*v**5 + 3*v + 2*v**2 + 7*v**x.
-3*v*(v - 1)*(v + 1)**3
Let a(v) be the third derivative of -v**8/1680 - 313*v**7/1050 + v**6/300 + 313*v**5/150 - v**4/120 - 313*v**3/30 - 1215*v**2. Solve a(j) = 0 for j.
-313, -1, 1
Let -9254 + 20*s**5 + 4543 - 724*s - 856*s**2 - 192*s**3 + 128*s**4 + 4543 = 0. Calculate s.
-7, -1, -2/5, 3
Let z(t) = -6*t**2 + 207*t - 3675. Let h(u) = 2*u - u + u**2 + 0*u**2 + 0*u**2. Let l(b) = 3*h(b) + z(b). What is i in l(i) = 0?
35
Let l be (2033/(-57) + -11)*((-45)/6 - 0). Suppose -h + 7 = 2*s - 6, 3*s - 2 = 2*h. Solve 4*f**s - 5*f**2 + 4*f - 354*f**3 + f**2 + l*f**3 = 0 for f.
-1, 0, 1
Let t(h) = 12*h - 7*h**2 + h**3 + 2*h**3 - 22*h**2 - 16 + 38*h**2. Let d(z) = -4*z**3 - 10*z**2 - 13*z + 17. Let j(b) = -4*d(b) - 5*t(b). Factor j(f).
(f - 6)*(f - 1)*(f + 2)
Suppose -4*b - 4*w = -220, 0 = -b - 4*w - 13 + 53. Let r be (-2)/10 - (4 + (-267)/b). Factor -5/2*t - r*t**2 - 25/4.
-(t + 5)**2/4
Let q = 1/3186 - -1061/3186. Let b(v) be the second derivative of 0 - 12*v - 1/36*v**4 + q*v**2 + 1/18*v**3. Factor b(m).
-(m - 2)*(m + 1)/3
Let r(c) be the second derivative of -c**8/10080 - 31*c**7/3780 - 17*c**6/72 - 5*c**5/4 + c**4 - 34*c. Let g(n) be the third derivative of r(n). Factor g(y).
-2*(y + 1)*(y + 15)**2/3
Let o be ((-260)/(-416))/(2 - 9/4) + 3. Let a(p) be the first derivative of 4/3*p**3 + 13 - 2/5*p**5 + 0*p + o*p**4 + 0*p**2. Let a(r) = 0. Calculate r.
-1, 0, 2
Let f(q) = -9*q + 75. Let k be f(8). Factor -26*t**2 + 117*t**3 - 108*t**k + 426 + 15*t - 424.
(t - 2)*(t - 1)*(9*t + 1)
Let -3704/9*n**3 - 4343120/9 - 4/9*n**4 + 5193104/9*n - 282092/3*n**2 = 0. What is n?
-466, 1, 5
Let y(n) = -2*n**3 + 16*n**2 - 17*n - 11. Let b be y(6). Suppose -94 = -b*k - 16*k. Factor 1/2*m**k + 1/4*m**5 + m**3 + 1/2 - 5/4*m - m**4.
(m - 2)*(m - 1)**3*(m + 1)/4
Let t be 616/(-220)*90/(-48). Factor -t*l**2 - 3/4*l**3 + 12 - 6*l.
-3*(l - 1)*(l + 4)**2/4
Let y(r) be the first derivative of 12*r**3 + 2/5*r**5 - 7/2*r**4 + 218 - 20*r**2 + 16*r. Factor y(l).
2*(l - 2)**3*(l - 1)
Let o(i) = -39*i - i**2 - 31*i + 67*i + 8. Let c be o(-4). Factor -5*u**3 + 0*u + 3*u**2 + 4*u - u**c - 4 + 3*u**3 + 0*u**3.
-(u - 1)**2*(u + 2)**2
Suppose 1/4*b**5 + 8*b**2 - 11/4*b**4 + 15/2*b**3 - 40*b + 0 = 0. What is b?
-2, 0, 4, 5
Let p be 504/(-70) - 2/(-10). Let o(y) = y + 11. Let u be o(p). Find x such that 10*x**2 + 0*x**4 - 10*x**2 + 21*x**u + 6*x**3 = 0.
-2/7, 0
Let s = -44 + 48. Suppose s = -12*b + 28. Factor 2*m**b - m**2 - 24*m - 682 + 826.
(m - 12)**2
Suppose -9*c = -59*c + 10*c + 400. Let x(v) be the second derivative of 0 - 3/40*v**5 + 1/4*v**3 + 1/4*v**4 + c*v - 3/2*v**2. What is y in x(y) = 0?
-1, 1, 2
Find j such that -309*j + 1/2*j**2 + 95481/2 = 0.
309
Let z = 181 - 176. Factor 45 - 2*s - z*s**2 - 37 + 13*s + 28*s.
-(s - 8)*(5*s + 1)
Factor 4*r**3 + 1539289*r - 167*r**2 - 135819*r - 120322*r - 1189*r**2 - 139863132 - 2568*r**2.
4*(r - 327)**3
Suppose -3 = 2*k - 13. Let t(l) = -23*l + 2. Let d be t(-1). Let -1 - 24 - d*f**2 - k + 116*f - 31*f = 0. What is f?
2/5, 3
Let g = -105 + 108. Let -10*q**3 - 10*q**3 + 3*q + 7*q**g - 2 + 5*q**2 - 94*q**4 - 2*q**5 + 103*q**4 = 0. Calculate q.
-1/2, 1, 2
Let w = -168806 + 2194506/13. Determine o, given that -24/13*o**3 - w*o**2 + 2 + 24/13*o + 2/13*o**4 = 0.
-1, 1, 13
Suppose 26*s - 1344 = 10*s. Let p = s + -77. Factor 3*t**3 + t - 7*t**2 + t**2 - p*t**4 + 3*t**2 + 6*t**4.
-t*(t - 1)**3
Suppose 0 = 491*i - 381*i + 824*i - 1868. Find a, given that 1/4*a**i - 5/2*a + 6 = 0.
4, 6
Let t = 2/18201 - -1989/303350. Let x(g) be the second derivative of -1/15*g**4 + 31*g + t*g**6 + 0*g**2 + 0*g**3 - 3/100*g**5 + 0. Factor x(d).
d**2*(d - 4)*(d + 1)/5
Let p(x) = -48*x**2 + 2*x. Let y(z) = 573*z**2 - 9*z + 150. Let g(q) = -12*p(q) - y(q). Factor g(h).
3*(h - 10)*(h + 5)
Let s(z) be the second derivative of -z**6/15 + 2*z**5/5 + 11*z**4/6 - 10*z**3 - 2*z + 586. Factor s(i).
-2*i*(i - 5)*(i - 2)*(i + 3)
Let f(r) be the third derivative of -r**7/42 + 67*r**6/24 - 41*r**5/4 - 2255*r**4/24 - 650*r**3/3 - 2209*r**2. Factor f(h).
-5*(h - 65)*(h - 4)*(h + 1)**2
Let f = -267416 + 267419. Find t, given that -30/7*t**4 + 8/7*t - 32/7*t**f + 62/7*t**2 - 8/7 = 0.
-2, -2/5, 1/3, 1
Let b(l) be the second derivative of l**4/6 + 23*l**3/3 + 42*l**2 - 7*l - 52. Factor b(c).
2*(c + 2)*(c + 21)
Let b(o) be the third derivative of o**7/140 - o**6 + 111*o**5/10 + o**2 + 8059. Suppose b(g) = 0. Calculate g.
0, 6, 74
Suppose 5*v - 7*v - 5*s = -16, 12 = 2*v + 3*s. Determine w, given that 9*w**3 - 41*w + 19*w - v*w**5 + 15*w**2 + 28*w - 3*w**4 = 0.
-1, 0, 2
Let x = -102 + 105. Factor 3898 + 2*n**x - 49*n**2