/3*t**3 - 1/2*t**2. Let s(u) = 3*u**2 - 1. Let v(b) = 4*p(b) - 14*s(b). Find o, given that v(o) = 0.
-3, 1
Factor 4*k**3 - 6*k**2 - 1/2*k**4 + 0 + 0*k.
-k**2*(k - 6)*(k - 2)/2
Let j be (-5 - (-3 + -3))*3. Suppose -5*k - j*o = -24, -5*o = -79*k + 80*k - 18. Factor 5/3*i + 1/3*i**4 - 4/3 - 5/3*i**k + i**2.
(i - 4)*(i - 1)**2*(i + 1)/3
Let z(w) be the third derivative of -w**8/1008 - 4*w**7/105 - 11*w**6/24 - 121*w**5/90 + 2174*w**2. Factor z(d).
-d**2*(d + 2)*(d + 11)**2/3
Let v be (-9555)/(-1176) + ((-1)/8)/1. Factor -418*f**3 + 0*f**5 - v*f - 58*f**2 + f**5 + 454*f**3 + 24*f - 12 - 10*f**4 + 27*f.
(f - 4)*(f - 3)*(f - 1)**3
Let c be 40/(-64)*20/(-50). Let l(n) be the second derivative of -5/6*n**3 + 5*n**2 + 0 + c*n**5 - 11*n - 5/6*n**4. Suppose l(m) = 0. What is m?
-1, 1, 2
Suppose 3*c = 15, c + 27 = z + 6*c. Factor 8*b**2 - 13*b + 15*b - 19 - 12 + 7 - 3*b**z - b**3.
-(b - 4)*(b - 3)*(b + 2)
Let b(z) be the second derivative of z**5/4 + 175*z**4/2 + 1360*z**3 + 8080*z**2 - 6959*z. Determine o, given that b(o) = 0.
-202, -4
Let c(k) be the third derivative of k**7/735 - 11*k**6/420 + 6*k**5/35 - 4*k**4/21 - 64*k**3/21 + k**2 + 334*k. Factor c(p).
2*(p - 4)**3*(p + 1)/7
Let r(z) be the first derivative of -z**4/10 - 4*z**3/15 - z**2/5 + 2213. Factor r(s).
-2*s*(s + 1)**2/5
Let u be (120/3)/(-4)*((-1208)/(-96) - 13). Determine b so that 1/3 + 21/2*b**2 - u*b = 0.
1/9, 2/7
Suppose 7*b - 2*b - 31 = -3*x, -2*x - b + 9 = 0. Let h be (-10 - -11)*x/(-2)*-5. Solve y**2 + 6 + 0*y**2 - 6 + h*y - 6 = 0.
-6, 1
Let l = -727 + 728. Let r be l + 1 + 7 + -7. Suppose -4/3*f**3 + f + 0 + 1/3*f**5 - 2/3*f**4 + 2/3*f**r = 0. What is f?
-1, 0, 1, 3
Let k(q) be the second derivative of 4*q**6/45 - 47*q**5/30 + 41*q**4/9 - 13*q**3/3 - 1411*q. Factor k(w).
2*w*(w - 1)**2*(4*w - 39)/3
Let p(r) be the third derivative of r**7/350 + 2*r**6/25 + 16*r**5/25 + 97*r**2 + 4*r. Factor p(y).
3*y**2*(y + 8)**2/5
Let h(w) be the first derivative of w**7/2240 - 17*w**6/960 - 9*w**5/160 + 16*w**3/3 - 93. Let u(c) be the third derivative of h(c). Solve u(p) = 0.
-1, 0, 18
Let j = -3999619/3 - -1333207. Solve j - 3/2*i + 1/4*i**2 + 1/6*i**3 = 0.
-4, 1/2, 2
Let -18*b**3 + 315*b - 197 + 31*b**3 - 300*b**2 - 14*b**3 - 19*b**3 + 117 = 0. Calculate b.
-16, 1/2
Let h = 90 + 57. Suppose 144*a = h*a. Factor 0*s**3 + 0*s + a*s**2 + 0 + 2/13*s**5 - 2/13*s**4.
2*s**4*(s - 1)/13
Factor -23*o**3 - 4*o**4 + 3*o**4 - 248589*o + 248789*o - 50*o**2.
-o*(o - 2)*(o + 5)*(o + 20)
Let s be 33 + 155/20*-4. Solve 0*c - 2/3*c**3 + s*c**2 + 0 = 0.
0, 3
Let i be 36/192*-56*14/(-30). Find p such that -i*p + 0 - 1/10*p**4 + 13/10*p**3 - 7/2*p**2 = 0.
-1, 0, 7
Let v(x) = 18*x + 171. Let j be v(-9). Determine q so that 96*q + 4*q**2 - 36*q - 8*q**2 + j*q**2 = 0.
-12, 0
Let q(a) = -43*a - 1500. Let l be q(-35). Let i(s) be the third derivative of 0 - 3/32*s**4 + 1/4*s**3 - 25*s**2 + 0*s + 1/80*s**l. Solve i(n) = 0.
1, 2
Let v(l) = 363*l**2 + 10065*l - 20280. Let r(m) = -69*m**2 - 2014*m + 4056. Let j(h) = 21*r(h) + 4*v(h). Suppose j(d) = 0. Calculate d.
2, 676
Let i(p) be the first derivative of 2*p**5/5 - 69*p**4/2 - 2*p**3/3 + 69*p**2 - 627. Suppose i(o) = 0. What is o?
-1, 0, 1, 69
Let b = -3/4945 - -4951/9890. Determine t, given that -3/4*t - 1/4*t**2 - b = 0.
-2, -1
Let p(h) = -2*h**3 + 19*h**2 + 8*h + 27. Let z be p(10). Factor 16*i + 0*i**2 + 4*i - 2 + z + 20*i**2.
5*(2*i + 1)**2
Let m(t) be the second derivative of -t**6/225 + 7*t**5/30 - 53*t**4/90 - 419*t**3/45 - 22*t**2 - 2053*t. Suppose m(a) = 0. What is a?
-2, -1, 5, 33
Let m be 11305/(-490) + 26 - (-20)/(-14). Find a, given that -3/2*a - 3/2*a**2 + 3/2*a**3 + m = 0.
-1, 1
Suppose 2*z - 5*a = 16, -2*z - 2 = -2*a - 12. Factor -x**3 + 6*x**3 + 0*x**3 + 60*x - 100 - x**z + 36*x**2.
4*(x - 1)*(x + 5)**2
Let m(p) be the first derivative of -2*p**3/3 - 22*p**2 + 208*p - 580. Factor m(o).
-2*(o - 4)*(o + 26)
Let g(u) be the third derivative of 0*u - 26*u**2 + 1/44*u**4 + 1/1155*u**7 + 0*u**3 - 1/220*u**6 + 1 - 1/330*u**5. Factor g(z).
2*z*(z - 3)*(z - 1)*(z + 1)/11
Suppose 22203*n - 22204*n = -4*j + 12, j = 2*n + 3. Determine d, given that -9/5 + d**2 - 1/5*d**j - 3/5*d = 0.
-1, 3
Let c = 36 - 38. Let q be 31/11 + c/(-11). What is u in 0*u**4 + u**3 + 4*u**q + 3*u**5 - 6*u**4 - 2*u**3 = 0?
0, 1
Suppose -2*j = -4*j + 38. Let w(q) = -2*q + 41. Let d be w(j). Suppose 13 - 2*k**2 + k**4 - 4*k + 4*k**d + k**4 - 13 = 0. What is k?
-2, -1, 0, 1
Let p(y) be the first derivative of 2*y**3/15 - 432*y**2/5 + 862*y/5 + 5196. Find k, given that p(k) = 0.
1, 431
Let r(m) be the second derivative of m**7/630 - 2*m**5/15 + 31*m**4/12 - 12*m - 2. Let b(v) be the third derivative of r(v). Factor b(t).
4*(t - 2)*(t + 2)
Let g = -1607 - -1774. Suppose -6*r = -g + 137. Factor 0*x**2 + 0 - 2/3*x**3 + 0*x**4 + 2/3*x**r + 0*x.
2*x**3*(x - 1)*(x + 1)/3
Factor 51*y**2 - 13*y**2 - 22*y**2 + 5*y**2 + 102*y - 19*y**2 + 460.
2*(y + 5)*(y + 46)
Let b(j) = -2*j**3 + j**2 + j - 2. Let a(n) = -8*n**3 + 30*n**2 + 50*n + 12. Let t(p) = a(p) - 6*b(p). Factor t(i).
4*(i + 1)*(i + 2)*(i + 3)
Suppose -6*s = -11*s + 4*m - 16, 5*m + 5 = 0. Let v(b) = -b**2 - 135*b - 124. Let d(x) = 132*x + 124. Let a(h) = s*v(h) - 5*d(h). Let a(u) = 0. What is u?
-1, 31
Let q(z) be the second derivative of 3*z**5/20 - 1911*z**4/2 + 2434614*z**3 - 3101698236*z**2 - 2*z - 4257. Factor q(f).
3*(f - 1274)**3
Let h(q) be the first derivative of -q**8/1680 + q**7/840 + q**6/60 - q**5/30 - q**4/3 + 22*q**3/3 - 32. Let b(y) be the third derivative of h(y). Factor b(s).
-(s - 2)**2*(s + 1)*(s + 2)
Suppose -28 = 17*p - 31*p. Suppose -63*j + p*c + 13 = -62*j, 5*j + 2*c = 5. Factor -3/4*z**4 + 0*z - 27/4*z**2 - 9/2*z**j + 0.
-3*z**2*(z + 3)**2/4
Factor -80/11*y - 2/11*y**2 - 702/11.
-2*(y + 13)*(y + 27)/11
Let o(q) be the third derivative of 2*q**7/105 + 3*q**6/10 - 13*q**5/15 - 71*q**4/2 - 240*q**3 - 12816*q**2. Determine y so that o(y) = 0.
-8, -3, 5
Let i be (-1 + -1)/(-3 - -1) + 2. Let v be 92/16 - (-1)/4 - i. Factor -142 - 68*h - 23*h**v + 157 - 75*h**2 + 3*h**3 + 28*h.
-5*(h + 1)*(h + 3)*(4*h - 1)
Let d be 2/((-312)/(-979)) + 6378/(-248742). Determine f, given that 49/4*f - 1/4*f**3 + 23/4*f**2 + d = 0.
-1, 25
Let s be (-7 - (-1728)/243)/(1/2). Factor 0 + s*c**3 + 4/9*c**2 - 2/3*c.
2*c*(c - 1)*(c + 3)/9
Let d be (-76)/798 - (1 - 25/15). What is f in -2*f**2 + 6/7 - d*f**3 - 4/7*f = 0?
-3, -1, 1/2
Let c be ((-11 - -4) + -5)*-3. Factor -c*a**2 + 32*a**3 + 3*a**4 - 12*a**2 + 3*a**4 - 10*a**4.
-4*a**2*(a - 6)*(a - 2)
Factor -35*t + t**3 - 16 - 56 + 101*t - 17*t**2.
(t - 12)*(t - 3)*(t - 2)
Let k(g) be the third derivative of -g**8/70560 + 19*g**7/8820 - 9*g**4 - g**3/3 + 58*g**2 + 2. Let d(w) be the second derivative of k(w). Factor d(p).
-2*p**2*(p - 57)/21
Let d be 26/4 + (-55 - -53). Let g(q) be the first derivative of q**3 + 0*q - 9/4*q**4 - 3/5*q**5 + 12 + d*q**2. Factor g(k).
-3*k*(k - 1)*(k + 1)*(k + 3)
Let y(j) be the first derivative of 83 - 8/15*j**3 + 2/25*j**5 - 1/10*j**4 + 4/5*j**2 + 0*j. Factor y(h).
2*h*(h - 2)*(h - 1)*(h + 2)/5
Let w(d) be the first derivative of 3*d**5/5 + 39*d**4/4 + 29*d**3 - 399*d**2/2 - 882*d + 1395. Factor w(p).
3*(p - 3)*(p + 2)*(p + 7)**2
Let v(r) = 2*r + 61. Let u be v(-34). Let g be 0*((-8)/(-112) + (-3)/u). Let 0 + 4/11*z**2 - 4/11*z**4 - 2/11*z**3 + 2/11*z**5 + g*z = 0. Calculate z.
-1, 0, 1, 2
Suppose -25 = -5*s, -2*c + 5*s - 10 - 9 = 0. Let w = 1 + 1. Find u such that -10*u**2 + c*u**4 + 5*u - w*u**4 - 5*u**5 + 9*u**4 = 0.
-1, 0, 1
Let j be 23 - (-22 + 2921/69). Let b(y) be the first derivative of -2/3*y**6 - 18/5*y**5 - 6*y**4 + 0*y - j*y**3 + 2 + 0*y**2. Factor b(w).
-2*w**2*(w + 2)**2*(2*w + 1)
Let k(q) be the second derivative of q**7/147 - 4*q**6/35 - q**5/70 + 2*q**4/7 + 447*q. Suppose k(m) = 0. What is m?
-1, 0, 1, 12
Suppose -2*s - 86 = -3*s - 4*n, 4*n = 3*s - 210. Let d = s - 62. Factor 8*t**5 - 2*t**5 - 8*t - 2*t**5 + d*t**2 + 4*t**3 - 12*t**4.
4*t*(t - 2)*(t - 1)**2*(t + 1)
Let -1060/3*d + 4/3*d**2 + 352 = 0. Calculate d.
1, 264
Let l be ((-120)/540)/((-3310)/3054 + 1). Let i = l + 1/64. Solve 2/3*h**4 - i + 8/3*h + 2*h**2 - 8/3*h**3 = 0.
-1, 1, 2
Let b(w) = 36*w - 1. Let f be 4656/180 + (-4)/(-30). Let m be b(f). Let 6*p + 2*p**2 + 935 - m = 0. Calculate p.
-3, 0