-2*k**3*(k + 9)/9
Suppose -190303*x**3 - 3*x - 4 - x**4 + 190302*x**3 + 4 + 5*x**2 = 0. What is x?
-3, 0, 1
Let b(g) = g**3 + 14*g**2 + 24*g + 4. Let i be b(-12). Factor i*k - 6*k**3 - 2*k**4 - 23*k**5 + 25*k**5 - 2*k**2 + 4*k**2.
2*k*(k - 2)*(k - 1)*(k + 1)**2
Suppose -20/3*u**2 - 14/3*u + 12 - 2/3*u**3 = 0. Calculate u.
-9, -2, 1
Let p(d) = 4*d**4 + 167*d**3 - 996*d**2 - 1507*d + 2342. Let u(q) = -9*q**4 - 417*q**3 + 2490*q**2 + 3768*q - 5856. Let a(f) = -12*p(f) - 5*u(f). Factor a(n).
-3*(n - 14)**2*(n - 1)*(n + 2)
Let q(l) be the second derivative of 5*l**7/42 + 61*l**6/6 - 321*l**5/4 + 2935*l**4/12 - 1150*l**3/3 + 330*l**2 - 1196*l + 2. Factor q(n).
5*(n - 2)*(n - 1)**3*(n + 66)
Let g be ((-9 - -6) + 1)/((-450)/135). Factor 18/5*m**2 + 24/5*m + g*m**3 + 0.
3*m*(m + 2)*(m + 4)/5
Let f(y) be the third derivative of 0*y + 4/21*y**3 - 154*y**2 + 1/30*y**5 + 0 - 11/84*y**4. Let f(k) = 0. What is k?
4/7, 1
Let z(t) be the first derivative of -25 + t**3 + 0*t + 1/4*t**4 + t**2. Determine f, given that z(f) = 0.
-2, -1, 0
Let f = 131266 - 1181386/9. Factor 14/3 - 2/9*p**2 - f*p.
-2*(p - 3)*(p + 7)/9
Suppose 3*u**2 + 2*u**2 - 5613 - 190*u + 6138 = 0. Calculate u.
3, 35
Let m be (1/1)/(-5) - (-74 + (-27450)/(-375)). Solve -96/5*u - 12/5*u**3 - m*u**4 + 0 + 84/5*u**2 = 0.
-8, 0, 2
Let i(l) be the third derivative of -l**5/100 + 79*l**4/40 - 77*l**3/5 + 731*l**2. Factor i(y).
-3*(y - 77)*(y - 2)/5
Let r = 88 - -132. Let -r + 23*l + 235 + 3*l**3 - 2*l**3 + 9*l**2 = 0. What is l?
-5, -3, -1
Factor 4/5 - 2/5*m + 2/5*m**3 - 4/5*m**2.
2*(m - 2)*(m - 1)*(m + 1)/5
Let j(q) = q**2 - 3*q - 1. Let w be j(5). Let s be 12/8*1/(w/120). What is o in -100 - 18*o**2 + 96 + 2*o**2 - s*o = 0?
-1, -1/4
Suppose 3 = 6*a - 3*a. Suppose x - a = 4*i, -i = 5*x - 31 + 5. Determine b so that -x*b + 0*b + 5*b + 8*b**3 - 4*b**5 - 4*b = 0.
-1, 0, 1
Let j be (-2)/(-4)*-7*(-12)/14. What is b in -187*b**j - 2*b**4 - 60*b + 56 - 2*b**4 - 52*b**2 + 247*b**3 = 0?
-1, 1, 14
Let w be 24/1920 + 0/(-2)*4/12. Let f(s) be the second derivative of 0 + w*s**5 - 1/24*s**3 + 1/48*s**4 - 1/8*s**2 - 6*s. Factor f(x).
(x - 1)*(x + 1)**2/4
Let b(l) be the second derivative of l**7/105 + 31*l**6/75 - 67*l**5/25 + 103*l**4/15 - 139*l**3/15 + 7*l**2 - 6*l - 24. Find z, given that b(z) = 0.
-35, 1
Let x(g) be the first derivative of 11*g**4/10 + 72*g**3/5 + 79*g**2/5 - 36*g/5 + 2495. Factor x(z).
2*(z + 1)*(z + 9)*(11*z - 2)/5
Let j(d) be the third derivative of -d**8/280 - 26*d**7/525 - 28*d**6/225 - d**5/9 - 7*d**4/180 - 1023*d**2. Suppose j(h) = 0. What is h?
-7, -1, -1/3, 0
Let h be -3*(-2)/(-42)*(-10)/200*4. Let o(s) be the second derivative of 25*s + 0 + h*s**5 + 0*s**2 - 4/21*s**3 - 1/21*s**4. Factor o(d).
4*d*(d - 2)*(d + 1)/7
Suppose 0 = -33*d - 9*d + 378. Let q be d/(-2)*-1 - 2/4. Find y, given that 0*y + 0 + 2/3*y**2 + 2/3*y**q + 4/3*y**3 = 0.
-1, 0
Let c(l) be the first derivative of -l**5/5 + l**4/4 + 25*l**3/3 - 25*l**2/2 + 831. Solve c(d) = 0 for d.
-5, 0, 1, 5
Let -374544 + 816*c - 4/9*c**2 = 0. What is c?
918
Let h(p) = -2*p**3 + 498*p**2 - 1473*p - 7. Let w be h(3). Factor -400/3 + 40*a + 12*a**w + 2/3*a**3.
2*(a - 2)*(a + 10)**2/3
Let l(y) be the second derivative of -y**5/4 - 5*y**4 - 175*y**3/6 - 60*y**2 + 10*y + 14. Suppose l(g) = 0. Calculate g.
-8, -3, -1
Let l(m) be the first derivative of -m**4/4 + m**3/3 + m**2/2 + m - 17. Let i(x) = 8*x**3 - 4*x**2 - 8*x - 4. Let j(d) = -i(d) - 4*l(d). Factor j(b).
-4*b*(b - 1)*(b + 1)
Suppose -5*p - 101 = 3*m, -5*p + 12 - 128 = -2*m. Let o be (p/(-33))/(2/36). Factor -2*r**3 + 33*r**2 + 3 + 11*r**3 + 31*r - o*r.
(r + 3)*(3*r + 1)**2
Let x(f) = 13*f**4 - 272*f**3 + 795*f**2 + 8*f - 1056. Let p(v) = 2*v**4 + 2*v**3 - 3*v + 1. Let m(t) = -4*p(t) + x(t). Determine q, given that m(q) = 0.
-1, 2, 53
Let w(h) be the third derivative of -h**6/30 + 34*h**5/5 + 70*h**4 + 848*h**3/3 + h**2 - 380*h - 2. Suppose w(m) = 0. What is m?
-2, 106
Find j, given that 119/4*j**2 - 23*j - 7*j**3 + 0 + 1/4*j**4 = 0.
0, 1, 4, 23
Let d(y) be the third derivative of 1/240*y**5 + 0 - 248*y**2 - 5/24*y**3 + 0*y - 1/24*y**4. Factor d(m).
(m - 5)*(m + 1)/4
Find l such that -187/2*l + 6 - 65/6*l**3 - 193/3*l**2 = 0.
-3, 4/65
Let a(y) be the second derivative of -2 + 70*y**2 - 10*y**3 + 5*y - 5/12*y**4. Determine l, given that a(l) = 0.
-14, 2
Let c(t) be the first derivative of t**5/15 - t**4/6 - 4*t**3 - 25*t**2 - 9. Let i(x) be the second derivative of c(x). Factor i(p).
4*(p - 3)*(p + 2)
Let p(w) be the first derivative of -10*w**2 + 20*w**3 - 80*w + w**5 + 35/4*w**4 + 81. Let p(z) = 0. Calculate z.
-4, -2, 1
Factor -149 + d**3 + 118*d + 280 - 131 + 61*d**2.
d*(d + 2)*(d + 59)
Let q(k) = 21*k**3 + 1305*k**2 - 1695*k + 432. Let o(y) = 11*y**3 + 653*y**2 - 848*y + 220. Let i(r) = -7*o(r) + 4*q(r). Let i(m) = 0. What is m?
-94, 2/7, 1
Let n = -86 - -86. Suppose n = p + 5*p - 78. Factor 5*x - 6 - p + 20*x**2 - 5*x**3 - 1.
-5*(x - 4)*(x - 1)*(x + 1)
Let n(j) be the third derivative of j**8/840 + 6*j**7/175 - j**6/300 - 3*j**5/25 + 94*j**2 - 3*j. Find s, given that n(s) = 0.
-18, -1, 0, 1
Let p(j) = 3*j**3 + 4*j**2 - 3*j - 1. Let w be p(1). Factor 20*d**4 - w*d**2 + 13*d**3 + 19*d**3 + 2*d**5 + 19*d**2 + 2*d**5.
4*d**2*(d + 1)*(d + 2)**2
Suppose -5*l + 44 = -3*l. Suppose 0 = -0*d - 2*d - 4*t + l, -3*t = 0. Factor -3*f**3 - 6*f**2 - 3*f**5 + 15*f**3 - d*f + 6 + 2*f.
-3*(f - 1)**3*(f + 1)*(f + 2)
Let p(s) = 3*s**2 + 0*s**2 - 4*s**2 + 2*s**3. Let m(d) be the second derivative of -d**5/20 + d**4/12 - 54*d + 3. Let x(a) = -5*m(a) - 2*p(a). Factor x(o).
o**2*(o - 3)
Let q = -60 - -63. Let h = q + 0. What is g in h*g**5 + 16*g**3 + 3*g - 4*g**3 + 6*g**3 + 12*g**2 + 12*g**4 = 0?
-1, 0
Factor -14260*i**3 + 195*i**4 + 2028800*i - 911*i**4 - 35757*i**3 - 3*i**5 - 32812*i**3 + 26188*i**3 - 1459440*i**2 - 512000.
-(i - 1)*(i + 80)**3*(3*i - 1)
Let o = 4276/5 - 4258/5. Factor 48/5*f + 78/5*f**4 + 8/5 + o*f**5 + 134/5*f**3 + 114/5*f**2.
2*(f + 1)**3*(3*f + 2)**2/5
Let m(v) be the second derivative of -v**5/120 + 7*v**4/36 + 49*v**3/9 - 110*v**2/3 + 1577*v. What is p in m(p) = 0?
-10, 2, 22
Let h = 745236/200641 - -2/200641. Determine t so that h + 2/7*t - 2/7*t**3 - 26/7*t**2 = 0.
-13, -1, 1
Let z be 208/80 + 219/(-90). Let i(l) be the second derivative of -z*l**4 - 15*l + 0 + 9/20*l**5 + l**2 - 3/2*l**3. Factor i(g).
(g - 1)*(g + 1)*(9*g - 2)
Factor 104*b**3 - 31*b**4 - 50*b**4 + b**5 + 54*b**4 + 132*b**2.
b**2*(b - 22)*(b - 6)*(b + 1)
Let m(f) be the third derivative of 68*f**2 - 9/224*f**8 + 0 + 0*f**3 - 12/35*f**7 - 79/80*f**6 - 3/4*f**4 + 0*f - 13/10*f**5. Solve m(w) = 0 for w.
-3, -1, -2/3, 0
Let x(k) be the second derivative of 2/21*k**7 + 12*k**2 - 38/3*k**3 - 6/5*k**5 + 0 - 147*k - 4/15*k**6 + 20/3*k**4. Determine q so that x(q) = 0.
-3, 1, 2
Find k, given that -621*k + 485 + 555 - 3*k**3 - 4*k**3 - 3394*k - 13*k**3 - 575*k**2 = 0.
-16, -13, 1/4
Let n = 60 - 15. Suppose -3*i - 4*s = -44, 0 = 2*i + 3*i + s - n. Find d, given that i - 4*d**2 + 7*d**2 - 3*d**2 + 2*d**2 - 10*d = 0.
1, 4
Let u(p) be the first derivative of -10 + 5/6*p**6 + 15/4*p**4 - 20/3*p**3 - 10*p**2 + 4*p**5 + 0*p. Factor u(y).
5*y*(y - 1)*(y + 1)*(y + 2)**2
Let u be (28/(-10) + 2)/(82/(-205)). Factor 22/3*j + 1/6 + 242/3*j**u.
(22*j + 1)**2/6
Let k(l) be the first derivative of 15*l**4/2 + 235*l**3/3 + 175*l**2 - 3500. Suppose k(z) = 0. What is z?
-35/6, -2, 0
Let b(g) be the third derivative of -11/100*g**5 + 0 + 87*g**2 - 1/350*g**7 + 0*g + 7/200*g**6 - 7/40*g**4 + 6/5*g**3. Solve b(i) = 0 for i.
-1, 1, 3, 4
Let a(s) be the first derivative of 7/18*s**3 + 1/3*s**2 + 1/30*s**5 + 7/36*s**4 + 17 + 17*s. Let g(o) be the first derivative of a(o). Factor g(k).
(k + 1)*(k + 2)*(2*k + 1)/3
Let m(k) be the third derivative of 2*k**2 + 0*k**3 - 7/4*k**5 + 0*k - 5/12*k**4 + 1. Suppose m(f) = 0. What is f?
-2/21, 0
Let r(i) be the third derivative of -i**7/1470 + 11*i**6/140 - 383*i**5/140 + 232*i**4/21 + 512*i**3/7 - 5696*i**2. Factor r(n).
-(n - 32)**2*(n - 3)*(n + 1)/7
Let f(q) = -14*q**2 - 26*q - 20. Let d(m) be the first derivative of -13 - 5/3*m**3 - 7*m - 9/2*m**2. Let x(j) = 8*d(j) - 3*f(j). Factor x(o).
2*(o + 1)*(o + 2)
Suppose -4*v - 3*u - 5 = -39, 3*v - 4*u = 38. Factor -5*i**2 + 48 + 6*i**3 + v*i**2 - 4*i 