d + 5/4*d**2 + 0 + d**3.
d*(d + 1)**2*(d + 2)/4
Let a(k) be the second derivative of k**3 + 35*k**2 + 86*k. Let b be a(-11). Factor -3*j**b + 7/4*j**5 + 0 + 3/4*j**3 + 1/2*j**2 + 0*j.
j**2*(j - 1)**2*(7*j + 2)/4
Suppose -12376 + 12326 = -10*t. Let k be ((-186)/(-54) - 3)*3. Find y such that 4/3*y**2 + 0 - k*y**4 - y**3 - 1/3*y**t + 4/3*y = 0.
-2, -1, 0, 1
Let v = 12/11615 + 3440351/11615. Let r = -293 + v. Factor -14/5*i**2 + 2/5*i**3 + r*i + 32/5.
2*(i - 4)**2*(i + 1)/5
Let f(s) be the third derivative of 3*s - 4/35*s**5 + 1/35*s**6 + 1/784*s**8 + 0*s**3 + 0 + 0*s**4 + 10*s**2 + 1/70*s**7. Solve f(y) = 0.
-4, 0, 1
Let z(v) = v**3 + 4*v**2 - 2*v - 8. Let x be z(-3). Let o = x + -3. Find l, given that o - 3 + 3*l**3 - 12*l**4 - 1 = 0.
0, 1/4
Factor 20/7*l**3 - 10/7 + 1/7*l**5 + 12/7*l**4 - 2/7*l**2 - 3*l.
(l - 1)*(l + 1)**3*(l + 10)/7
Let l(k) be the third derivative of k**5/600 - k**4/5 + 287*k**3/60 + 2159*k**2 - 1. Factor l(n).
(n - 41)*(n - 7)/10
Suppose 0 = -3*f + 9. Let p be ((-13)/2 - -9)*2. Solve y**5 - f*y**5 + 0*y**p - 4*y**3 + 3*y**5 = 0 for y.
-2, 0, 2
Let c = 101 - 99. Let q be (-3 - -5)/(c/(4/2)). Determine i so that -40*i**q + 414*i**4 + 5*i - 314*i**4 + 0*i + 55*i**3 = 0.
-1, 0, 1/5, 1/4
Let y = -71 + 102. Suppose 36*g - 10 = y*g. Factor 1242*m**g + 39*m - 9*m - 1239*m**2.
3*m*(m + 10)
What is u in -1/7*u**5 + 320/7 - 184/7*u**3 - 656/7*u + 512/7*u**2 + 4*u**4 = 0?
2, 20
Let h(p) be the third derivative of p**6/280 - 1123*p**5/140 - 2249*p**4/56 - 1125*p**3/14 - 7733*p**2. Let h(c) = 0. What is c?
-1, 1125
Let j be (-12)/(-9) + (-28)/12. Let b(v) = -v**3 + v**2. Let h(y) = -4*y**2 - 8*y + 12. Let q(n) = j*h(n) + b(n). Factor q(k).
-(k - 6)*(k - 1)*(k + 2)
Let n(m) be the third derivative of -m**5/150 + 41*m**4/60 - 26*m**3 + 2*m**2 - 2*m + 54. Factor n(j).
-2*(j - 26)*(j - 15)/5
Let x be (25/(-10))/(((-20)/136)/5). Let p = 94 - x. Let -p*a**4 + 4*a**5 + 4*a + a**4 - 4*a + 4*a**3 = 0. What is a?
0, 1
Let j(s) = s**2 + 14*s + 48. Let f be j(-9). Find w, given that -5*w**5 + 30 - 4*w**3 + 65*w - 127*w**2 - 40*w**4 - 56*w**f + 137*w**2 = 0.
-6, -1, 1
Let q = -3125/146 - -1891/73. Factor q*z - 14/3 + 1/6*z**2.
(z - 1)*(z + 28)/6
Determine h so that 33/8*h - 3/8*h**2 + 9/2 = 0.
-1, 12
Let d be (-11 + 943/92)/(-3). Let x(v) be the first derivative of 5/2*v**2 + 48 + 0*v - 2*v**3 + d*v**4. Factor x(a).
a*(a - 5)*(a - 1)
Let o(v) be the second derivative of -v**5 + 65*v**4/12 + 65*v**3/6 - 10*v**2 + v - 50. Factor o(k).
-5*(k - 4)*(k + 1)*(4*k - 1)
Let s(y) be the first derivative of -y**3/5 + 1044*y**2/5 - 363312*y/5 + 9959. Determine z so that s(z) = 0.
348
Let x(h) = -45*h**4 - 945*h**3 - 755*h**2 + 2185*h - 55. Let d(l) = 5*l**4 + 105*l**3 + 84*l**2 - 242*l + 6. Let s(m) = 55*d(m) + 6*x(m). Factor s(q).
5*q*(q - 1)*(q + 2)*(q + 20)
Factor 24*n - 16*n**3 + 332*n - 2524*n**2 + 212*n + 64*n.
-4*n*(n + 158)*(4*n - 1)
Suppose 491*k = 174193 - 172229. Factor 58/3*n**2 + 86/9*n + 0 + 10*n**3 + 2/9*n**k.
2*n*(n + 1)**2*(n + 43)/9
Let m(n) be the second derivative of -3/140*n**5 + 0*n**2 + 0*n**3 - 1 + 2/7*n**4 + 9*n. Find r such that m(r) = 0.
0, 8
Let k(p) = 5*p - 3. Let s be k(1). Solve -5*b**3 - 6 - 16*b - 6 + 0 - 203*b**2 + 236*b**s = 0.
-2/5, 1, 6
Let p = -64541/6 - -451799/42. Suppose -p*w**3 + 0 + 8/7*w**2 + 0*w = 0. What is w?
0, 4
Let y(i) be the second derivative of -1/10*i**5 + 43/6*i**4 + 18 + 441*i**2 - i - 161*i**3. Factor y(d).
-2*(d - 21)**2*(d - 1)
Let u(o) be the first derivative of 2*o**3/21 + 2566*o**2/7 + 3292178*o/7 + 4600. Factor u(b).
2*(b + 1283)**2/7
Let t(g) be the first derivative of 4*g**5/5 + 22*g**4 + 68*g**3/3 - 176*g**2 - 336*g + 523. Let t(k) = 0. What is k?
-21, -2, -1, 2
Let c be (-10)/75*-10*(-1014)/(-4). Let y = c + -335. Factor -1/6*q**5 + 0 + 0*q**2 - 1/6*q**y - 1/3*q**4 + 0*q.
-q**3*(q + 1)**2/6
Let j(c) be the first derivative of c**7/560 - 7*c**6/60 + 49*c**5/20 + c**3/3 + 92*c + 65. Let v(w) be the third derivative of j(w). Factor v(m).
3*m*(m - 14)**2/2
Let m be ((-7)/(-14))/((-3)/36). Let a be (m/3 - -14)*7/42. Factor 3*q - 5/4*q**a - 1.
-(q - 2)*(5*q - 2)/4
Let y(g) be the first derivative of g**4/42 + 4*g**3/21 - g**2/21 - 20*g/7 + 190. Let y(n) = 0. Calculate n.
-5, -3, 2
Let n be -6*(-7)/168*24. Let h(q) be the first derivative of -45/2*q**2 + 11 + n*q - 17*q**3. Factor h(t).
-3*(t + 1)*(17*t - 2)
Let b(t) be the third derivative of -t**5/180 + 1349*t**4/18 - 3639602*t**3/9 + 959*t**2. Find o, given that b(o) = 0.
2698
Factor -105*k**3 + 176939*k**2 + 6*k**4 + 3445*k - 176714*k**2 - k**4 + 5070.
5*(k - 13)**2*(k + 2)*(k + 3)
Suppose 5*q + 47 - 105 = -2*f, 0 = q - 2*f + 34. Factor -11/2*s**2 + 6*s - 6*s**3 - 1/4*s**q + 23/4.
-(s - 1)*(s + 1)**2*(s + 23)/4
Let 16/9*f**3 - 16/9*f + 32/9 - 10/3*f**2 - 2/9*f**4 = 0. Calculate f.
-1, 1, 4
Let z(o) be the first derivative of 35/3*o**3 - 10*o**2 + 92 - 15*o. Solve z(u) = 0.
-3/7, 1
Suppose -49*p - 976 = -2*v - 54*p, v + 4*p - 485 = 0. Let -209 + 385*r + 3*r**4 - v*r + 959 + 0*r**4 - 717*r - 51*r**3 + 315*r**2 = 0. What is r?
2, 5
Let k(a) = -a + 2. Let r be k(-6). Suppose 125*g = 5*s + 121*g + 2, -5*s + 19*g = 47. Determine c so that 8/5 + 18/5*c**s + r*c = 0.
-2, -2/9
Let s(x) be the second derivative of 0 + 1/120*x**6 - 3/80*x**5 + 1/8*x**3 + 1/48*x**4 - 1/4*x**2 - 15*x. What is v in s(v) = 0?
-1, 1, 2
Let b be (-10)/(-2)*(-28)/(-5). Suppose -42*g + 77*g - 70 = 0. Factor b*y**2 - 49*y**2 - 4 + 2*y**4 - y**3 - 5*y**3 + 23*y**g + 6*y.
2*(y - 2)*(y - 1)**2*(y + 1)
Let q be (-9)/(-126)*(9 - 9). Determine h, given that 1/2*h - 25/4*h**3 + q - 23/4*h**2 = 0.
-1, 0, 2/25
Factor 481180/3*l - 240100/3 - 1/3*l**4 + 982/3*l**3 - 80687*l**2.
-(l - 490)**2*(l - 1)**2/3
Let h(p) = -3*p**3 - 13*p**2 + 11*p + 25. Let d be ((-3)/6)/((-1)/(-2)) + 5. Let t(m) = -m**3 - m**2 - m. Let f(u) = d*t(u) - h(u). Factor f(a).
-(a - 5)**2*(a + 1)
Let u be 1 - 1 - 6/(-4). Let o(v) = -1292*v**2 - 5167*v + 7. Let w be o(-4). Let -w - u*f + 3/2*f**2 = 0. What is f?
-1, 2
Suppose -8*r + w + 22 = -5*r, 4*r - 36 = 3*w. Suppose 8*t - r*t - 5*m + 15 = 0, -15 = -4*t - 5*m. What is n in 0 + n**3 - 1/5*n**4 - 6/5*n**2 + t*n = 0?
0, 2, 3
Let t(s) be the second derivative of 9/20*s**5 + 0*s**3 + 1/2*s**4 + 1/56*s**7 + 6 - s + 0*s**2 + 3/20*s**6. Factor t(y).
3*y**2*(y + 2)**3/4
Let c(t) be the first derivative of t**3/3 + 5*t**2 - 56*t - 5057. Factor c(m).
(m - 4)*(m + 14)
Determine w so that -w**4 - 1/4*w**5 + 3/4*w**3 - 6 + w + 11/2*w**2 = 0.
-3, -2, 1, 2
Let i be 117/462 + (-40)/220. Let o(u) be the first derivative of -13 - 1/21*u**3 + 2/7*u + i*u**2. Let o(h) = 0. What is h?
-1, 2
Factor -57/7*x**2 - 2187/7 + 891/7*x + 1/7*x**3.
(x - 27)**2*(x - 3)/7
Factor -8*h**2 + 4*h**2 + 42 - 8*h**2 + 34 + 63*h - 22.
-3*(h - 6)*(4*h + 3)
Find v, given that 0 - 78*v**3 + 7791/4*v**2 + 3/4*v**4 + 8427/2*v = 0.
-2, 0, 53
Suppose -6530 = -61*m - 6286. Find n such that 9*n**2 + 24*n + 0 - 27/2*n**3 + 3/2*n**m = 0.
-1, 0, 2, 8
What is t in 750 - 870 + 5*t**2 + 0*t**2 - 10*t = 0?
-4, 6
Suppose 0 = -a - 13 + 17. Factor -441 + 9*f + 3*f**2 - a*f**2 - 83*f + 32*f.
-(f + 21)**2
Factor -4*y**2 - 36*y**4 - 64*y + 80*y**4 - 38*y**4 + 124*y**2 - 64*y**3 + 2*y**5.
2*y*(y - 2)**2*(y - 1)*(y + 8)
Let t(z) be the second derivative of 7*z**5/20 + 103*z**4/12 - 281*z**3/3 + 76*z**2 - 1281*z. Solve t(k) = 0.
-19, 2/7, 4
Let d(r) be the first derivative of r**3/15 - 124*r**2/5 - 249*r/5 + 301. Solve d(k) = 0.
-1, 249
Let t(g) = 3*g**3 - 12*g**2 + 3*g - 10. Let x be t(4). Let x*z**3 + 14 + 35*z**2 - 10 + 7 - 21*z**2 + 32*z + 13 = 0. What is z?
-3, -2
Let h(n) be the first derivative of -5*n**3/3 + 590*n**2 + 7283. Determine c, given that h(c) = 0.
0, 236
Solve -4/3*z**4 + 192 - 388/3*z**2 + 24*z + 112/3*z**3 = 0.
-1, 2, 3, 24
Suppose -6*m - 21 = -5*u, 5*m = -51*u + 52*u - 8. Factor -1/2*v**2 - 11/4*v**3 - 3/2*v**4 + 2 - 1/4*v**5 + u*v.
-(v - 1)*(v + 1)*(v + 2)**3/4
Let v = -8101 + 40823/5. Let b = v - 312/5. Suppose -b*x**3 + 0*x + 3/5*x**4 + 0 + 0*x**2 = 0. What is x?
0, 2
Suppose 6*g = 32 - 26. Let f(x) = -x**3 + 2*x**2 + 7*x - 8. Let i be f(g). Factor 4/7*r**5 + i*r**2 + 0 + 2/7*r**4 + 0*r - 2/7*r**3.
2*r**3*(r + 1)*(2*r - 1)/7
Suppose 42 = 27*h - 41*h. Let c(x) = 16*x - 18. Let q(d) = -d**2 + 17*d - 19. Let a(v)