j**3 = 0.
-7, -1, 2
Factor -7*g**5 - 1278*g**3 + 8*g**5 - 6*g**5 + 1268*g**3 - 15*g**4.
-5*g**3*(g + 1)*(g + 2)
Let m(k) = -k**3 - 13*k**2 - 23*k + 85. Let q be m(-5). Suppose -3*h**3 + q - 42/5*h**2 + 0*h + 3/5*h**4 = 0. Calculate h.
-2, 0, 7
Let f be (3 - (-20)/(-10)) + (-126)/830. Let o = -4/83 + f. Factor -4/5 + o*h**2 + 0*h.
4*(h - 1)*(h + 1)/5
Let h(j) = -8*j - 2. Let n be h(1). Let l be ((-4)/n)/(12/120). Solve 34*q**3 - 3 - 24*q + 4*q**l + 2*q**2 - 6 + 2*q**4 + 1 - 10*q**5 = 0 for q.
-1, -2/5, 1, 2
Let i(h) be the third derivative of -h**5/15 + 13*h**4/3 + 801*h**2. Let i(s) = 0. What is s?
0, 26
Suppose 2*h - q = 795, -5*h = -2*h + 5*q - 1199. Suppose 0 = -6*p + 398 - h. Factor -2/9*a**3 + 2/9*a**2 - 2/9*a**4 + 2/9*a**5 + 0*a + p.
2*a**2*(a - 1)**2*(a + 1)/9
Factor -16235*k - 16143*k - 12005*k**2 + 1244*k + 11995*k - 40500 - 24961*k.
-5*(49*k + 90)**2
What is l in -2020/7*l - 2446/7*l**2 + 22/7*l**3 + 64 = 0?
-1, 2/11, 112
Suppose 114*m = 51*m + 52*m + 22. Factor 8 + 13/2*c**m - 12*c + 1/8*c**4 - 3/2*c**3.
(c - 4)**2*(c - 2)**2/8
Suppose 2*z = -3*r + 9, z - 9 = -2*r - r. Suppose 5*a = 4 + 1, -3*p + 33 = r*a. Determine c so that 3*c**3 + 9 + c - 4*c + 0*c**2 - p*c**2 + c**2 = 0.
-1, 1, 3
Factor 324 - 40*p - 126*p + 10942*p**2 - 10940*p**2.
2*(p - 81)*(p - 2)
Let t(h) be the first derivative of -h**5/10 - 43*h**4/8 + 151*h**3/2 - 805*h**2/4 - 650*h - 4093. Suppose t(z) = 0. What is z?
-52, -1, 5
Factor 24*k**2 - 2/3*k**3 + 1760/3 - 232*k.
-2*(k - 22)*(k - 10)*(k - 4)/3
Suppose -33075*g + 10*g**4 - 314 + 2570*g**2 - 449*g**3 + 4135*g**2 - 3352 + 291 = 0. What is g?
-1/10, 15
Let i(q) be the first derivative of -q**3/12 + 9*q**2/4 - 77*q/4 + 3326. What is m in i(m) = 0?
7, 11
Let u = 4941 - 4939. Let b(z) be the second derivative of -1/20*z**6 + 3/40*z**5 + 0*z**3 + 0*z**u - 1/24*z**4 + 1/84*z**7 + 0 + z. Factor b(l).
l**2*(l - 1)**3/2
Determine d so that -2/7*d**5 + 568/7*d**2 - 64*d + 38/7*d**4 + 0 - 240/7*d**3 = 0.
0, 2, 7, 8
Let g = -9503/42 - -1585/7. Let l(m) be the first derivative of -1/3*m**3 + 3/4*m**4 - m**2 - g*m**6 - 23 + 0*m + 1/5*m**5. Find a, given that l(a) = 0.
-1, 0, 1, 2
Let k be 3960/200 - 30/2. Let r(x) be the first derivative of -7/5*x**4 - 58/5*x**2 + 13 - k*x - 8*x**3. Factor r(g).
-4*(g + 1)*(g + 3)*(7*g + 2)/5
Let n be (-60)/(-18) + ((-6)/(-24))/((-3)/37). Suppose 25/4 + 11/4*z**2 + 35/4*z + n*z**3 = 0. What is z?
-5, -1
Let a(n) = -2*n**4 - n**3 + n**2 - 1. Let t(x) = 29*x**4 - 1143*x**3 + 446971*x**2 - 57955975*x + 114133264. Let i(j) = 42*a(j) + 3*t(j). Factor i(h).
3*(h - 385)**3*(h - 2)
Let k(i) = i**3 - 115*i**2 - 134*i + 220. Let f(n) = -10*n**3 + 1380*n**2 + 1610*n - 2630. Let m(l) = -2*f(l) - 25*k(l). Factor m(y).
-5*(y - 24)*(y - 1)*(y + 2)
Suppose 58*t - 109*t = 121*t + 248*t + 232*t. Find x such that 15/4*x**4 + 6*x**3 + 9/4*x**2 + t*x + 0 = 0.
-1, -3/5, 0
Find j such that 0 - 1502/3*j + 2/9*j**2 = 0.
0, 2253
Let r be 5 - (2/(-31) - 11/(364/42 - 19)). Factor -4464/5*f**3 + 29744/5*f**2 + 162/5*f**r + 13888/5*f + 1568/5.
2*(f - 14)**2*(9*f + 2)**2/5
Let j(m) = -m**2 - 44*m - 525. Let x(b) = -2*b**2. Let t(p) = 2*p**2 - 87*p - 1048. Let n(d) = -t(d) - 2*x(d). Let l(f) = -5*j(f) - 2*n(f). Factor l(z).
(z + 23)**2
Suppose 1390 - 5358 = -31*a. Suppose 579 = a*x + 67. Determine w so that 13/9*w + 7/9*w**2 - 1/9*w**3 + 2/3 - 1/9*w**x = 0.
-2, -1, 3
Factor -10*v**3 + 504*v**2 + 1448 - 6466 + 13800*v - 582.
-2*(v - 70)*(v + 20)*(5*v - 2)
Let b be 9/(54/(-40))*(-6)/5. Factor -16*u + 15*u**3 - b*u**2 + 21*u - 17*u**2 + 5.
5*(u - 1)**2*(3*u + 1)
Let k(u) be the third derivative of -21 - 9/280*u**6 + 2*u**2 + 0*u**3 - 1/490*u**7 + 0*u + 0*u**4 + 0*u**5. Factor k(z).
-3*z**3*(z + 9)/7
Let v = -145596 + 145599. Factor -5/4*m**2 + 0*m + 1/8*m**v + 0.
m**2*(m - 10)/8
Let i = 235791/333965 - 3/19645. Factor 0*n - i*n**2 + 2/17*n**3 + 64/17.
2*(n - 4)**2*(n + 2)/17
Suppose -j - 17 = -3*t, t = j - 2 + 9. Let f be (t - 114/24)/(15/72). Factor 0 - 3/5*q**2 + f*q.
-3*q*(q - 2)/5
Suppose -110112 = 92*x - 18*x. Let f be -6 - x/84 - (-2 + 0). Determine m so that 128/7 + f*m + 2/7*m**3 + 24/7*m**2 = 0.
-4
Let t(i) be the first derivative of -i**3/12 + 115*i**2/2 - 13225*i - 147. Factor t(p).
-(p - 230)**2/4
Let g = -167 - -195. Suppose g*p + 96*p - 5*p**2 + 135*p - 1559 - 1086 - 29*p = 0. Calculate p.
23
Let f = 42 - 35. Let v be 16/56 - (-82)/f. Suppose -1590*u**2 + 1590*u**2 - v*u**3 + 4*u**4 = 0. Calculate u.
0, 3
Factor -76 + 3*k**2 - 428*k + 7778*k + 7423.
3*(k + 1)*(k + 2449)
Suppose 0 = i - 2*r + 2, -i = i - r - 5. Suppose -25*k + 24*k = -i. Let -36*j + 59*j - 14*j**2 - 10*j**3 - 2*j**k - 29*j = 0. Calculate j.
-3, -1, 0
Let p be (-47 - 1)*7/(112/(-120)). Let j = p + -358. Factor 0*n**3 - 1/6*n**4 + 1/6*n**j + 0 + 0*n.
-n**2*(n - 1)*(n + 1)/6
Let v be (11/(-44))/(3/3228). Let f = v + 273. Determine l, given that -2/7*l**2 + 4/21*l + 2/21*l**f + 0*l**3 + 0 = 0.
-2, 0, 1
Suppose -74529/5 - 1/5*r**2 - 546/5*r = 0. Calculate r.
-273
Let p be -7*1 - ((-13676)/(-156) + -95). Factor p*t - 1/3*t**3 + 7/3 - 7/3*t**2.
-(t - 1)*(t + 1)*(t + 7)/3
Let v(p) be the first derivative of 2*p**6/15 - 16*p**5/5 + 88*p**4/3 - 128*p**3 + 288*p**2 + 98*p + 118. Let y(t) be the first derivative of v(t). Factor y(k).
4*(k - 6)**2*(k - 2)**2
Let h be 9488 - -41 - (-105)/(-30)*(-2 - -4). Factor 3/2*r**3 - 207*r**2 + h*r - 146004.
3*(r - 46)**3/2
Let 0 - 46*t**2 + 0*t + 2/3*t**4 - 136/3*t**3 = 0. Calculate t.
-1, 0, 69
Let i be (-5)/((-105)/102) + (-633)/(-4431). Factor -7/3 - 2/3*z**2 + i*z.
-(z - 7)*(2*z - 1)/3
Let i = 56 + -53. Suppose -i*j = 3 - 12. Factor 2*z**2 - 6*z**2 + j*z**3 + 3*z**3 - 2*z**5.
-2*z**2*(z - 1)**2*(z + 2)
Let b(x) be the second derivative of -3*x**4/4 - 2*x**3/3 + 14*x**2 - 112*x - 2. Find g, given that b(g) = 0.
-2, 14/9
Let a be ((-15)/285)/((-135)/8550). Determine p so that a*p**4 + 5/2*p**2 + 0 + 0*p + 65/6*p**3 = 0.
-3, -1/4, 0
Let t(s) be the first derivative of 8/7*s**2 + 1/21*s**3 + 0*s + 89. Let t(p) = 0. Calculate p.
-16, 0
Let s = 2996053/3 - 998684. Factor -1/3*y**3 - s*y**2 + 4 + 8/3*y.
-(y - 3)*(y + 2)**2/3
Suppose -u + 200 = u. Let w(i) = -2*i**2 + 17*i - 32. Let l be w(5). Determine o, given that -u + l*o**4 - 5*o**4 + 92 + 9*o**2 + o**2 = 0.
-2, -1, 1, 2
Factor -2*m**4 + 66772496 - 1189*m**3 - 620172*m**2 - 66150392*m - 504*m**3 - 14*m**3 - 267*m**3 + 44*m**3.
-2*(m - 1)*(m + 322)**3
Let p(v) be the second derivative of -3*v**5/100 - 48*v**4/5 + 193*v**3/10 - 3115*v. Factor p(o).
-3*o*(o - 1)*(o + 193)/5
Let t(g) be the third derivative of -1/450*g**6 + 0*g**3 + 0 + 1/1575*g**7 - 1/150*g**5 + 31*g + 0*g**4 + g**2. Factor t(i).
2*i**2*(i - 3)*(i + 1)/15
Let k(x) = -x**2 + 2*x + 56. Let n be k(8). Let -n*v + v - 4*v**3 - 16 - 20*v**2 - 8*v - 14*v - 3*v = 0. What is v?
-2, -1
Let x(r) be the third derivative of r**5/270 - 13*r**4/18 + 497*r**3/27 - 897*r**2 + 1. What is o in x(o) = 0?
7, 71
Solve 4/3*y**2 + 40/3*y + 28 = 0.
-7, -3
Let g(l) be the third derivative of l**9/20160 + l**8/480 + l**5/12 + 31*l**2. Let o(v) be the third derivative of g(v). Determine d so that o(d) = 0.
-14, 0
Let n be (-1826)/(-22) - (-10 - -3). Suppose 211*l - 256*l + n = 0. Solve -16/7 + 4/7*h**l + 12/7*h**3 - 48/7*h = 0.
-2, -1/3, 2
What is i in 1/3*i**3 + 0*i + 1/3*i**4 + 0*i**2 + 0 = 0?
-1, 0
Let c = 31 - 153. Let j = 124 + c. Factor 3*m**3 - 328*m**2 + 16*m + 312*m**j + m**3.
4*m*(m - 2)**2
Let j(s) be the third derivative of 1/280*s**6 + 0*s**3 + 0*s**5 + 0 + 0*s**4 + 0*s**7 + 0*s - 1/784*s**8 + 52*s**2. Factor j(g).
-3*g**3*(g - 1)*(g + 1)/7
Let w(t) be the first derivative of -2*t**3/9 + 236*t**2 - 1414*t/3 - 1632. Suppose w(h) = 0. What is h?
1, 707
Let t = -2/18641 + 55931/74564. Let g = 13/60 + 1/30. Find p such that 1/2*p + g*p**3 + t*p**2 + 0 = 0.
-2, -1, 0
Let t be -8 - (6 - ((-5)/(-2))/(300/2160)). Let v(g) be the first derivative of -32/3*g**3 + 36 + 0*g + g**t + 32*g**2. Solve v(x) = 0.
0, 4
Factor 25/3 + 74/9*x - 1/9*x**2.
-(x - 75)*(x + 1)/9
Let n = 400455 + -400451. Find y such that 2/7*y**5 - 30/7*y + n*y**3 - 4/7*y**2 - 2*y**4 + 18/7 = 0.
-1, 1, 3
What is a in -1749/4*a - 3 - 873/8*a**2 = 0?
-4, -2/291
Let t(n) be the second derivative of 6*n**5/35 - n**4/42 - 4*n**3/7 + n**2/7 + 690*n. Factor t(k).
2*(k 