*d + 0*o + 1/3*o**2 - 1/3*o**4 = 0.
-1, 0, 1/4, 1
Let q(s) = -s + 58. Let r be q(-5). Let h be (-126)/(-4)*9/r. Factor -3*f**3 + h*f**2 - 3*f + 3/4 + 3/4*f**4.
3*(f - 1)**4/4
Suppose 181 - 25 = 52*i. Let f(w) be the third derivative of 1/144*w**4 + 0*w - 1/180*w**5 - 12*w**2 + 1/720*w**6 + 0*w**i + 0. Factor f(u).
u*(u - 1)**2/6
Let n(v) be the second derivative of -226/3*v**3 - 55 - 112*v**2 - 1/5*v**5 - 58/3*v**4 + 3*v. Solve n(f) = 0 for f.
-56, -1
Let o(d) be the first derivative of -d**3/5 - 6*d**2/5 + 63*d/5 + 1005. Factor o(j).
-3*(j - 3)*(j + 7)/5
Let f(o) be the second derivative of -o**4/48 + 5*o**3/12 + 7*o**2 + 2852*o. Factor f(a).
-(a - 14)*(a + 4)/4
Let q = 147646 - 147642. Suppose 4/3*m**3 - 4/3 - q*m**2 + 4*m = 0. What is m?
1
Let v(j) be the second derivative of j**5/20 + j**4/4 - 2*j**3/3 + j**2 - 80*j - 2. Let z be v(1). Solve -5/3*f**z - 35/3*f + 40/3 = 0 for f.
-8, 1
Let c(z) be the third derivative of -z**8/672 + z**7/70 + z**6/15 + 10*z**2 - 45*z + 3. Factor c(p).
-p**3*(p - 8)*(p + 2)/2
Let -36 + 12*i**4 - 3/4*i**5 + 24*i**2 - 153/4*i**3 + 39*i = 0. What is i?
-1, 1, 2, 12
Suppose -61*l - 267 = 160. Let a be (-2)/(-6)*(-4 + 0 - l). What is g in -a + 11/6*g + 1/6*g**3 - g**2 = 0?
1, 2, 3
Suppose 9 = -15*i + 54. Factor 20*w**3 + 18*w**i - 43*w**3 - 40*w**2.
-5*w**2*(w + 8)
Factor -87681 - r**5 + 2*r**4 + 51*r**3 + 87681 + 108*r**2.
-r**2*(r - 9)*(r + 3)*(r + 4)
Suppose -251 = 31*y - 561. Factor 2/3*b**3 + 4*b**2 - y*b + 16/3.
2*(b - 1)**2*(b + 8)/3
Let c = -146 + 155. Suppose 0 = 9*r - 9 - c. Factor 1/3*a**r + 0*a - 4/3.
(a - 2)*(a + 2)/3
Let p(t) = 144*t - 8496. Let k be p(59). Suppose -2/5*n**4 + k*n + 8/5*n**3 - 6/5*n**2 + 0 = 0. Calculate n.
0, 1, 3
Suppose 470 = 4*s + 5*a, 3*s + 5*a = 2*s + 110. Let o be (8/s*-5)/((-1)/15). Suppose -12*p**4 + 4*p**3 - 64/7*p + 68/7*p**2 + 16/7 + 36/7*p**o = 0. What is p?
-1, 2/3, 1
Let x be 1540/(-3465) + (343/63 - 5). Determine y, given that 6/13*y**4 - 22/13*y**3 + 10/13*y**2 + x + 6/13*y = 0.
-1/3, 0, 1, 3
Let r(i) = -36*i**3 - 332*i**2 - 668*i + 924. Let n(u) = -2*u**3 - u**2 - 4*u. Let o(c) = 16*n(c) - r(c). Let o(w) = 0. Calculate w.
-77, -3, 1
Let s(m) be the second derivative of -m**6/70 + 3*m**5/70 + m**4/28 - m**3/7 + 1792*m. Find a, given that s(a) = 0.
-1, 0, 1, 2
Let v(y) = 6*y**2 - y - 3. Let i be v(3). Factor -96 - i*j + 279*j**4 - 66*j**5 - 355*j**3 + 201*j**2 - 15*j**5 + 100.
-(j - 1)**3*(9*j - 2)**2
Suppose 4*u + 4*f = 36, u - 3*f + 19 = 2*u. Let h be 9/1*(-2 + 14/6). Factor 8*l + 0*l**u - 4*l**4 - 8*l**h - 79 + 83.
-4*(l - 1)*(l + 1)**3
Suppose -178*o - 536/3 + 2/3*o**2 = 0. What is o?
-1, 268
Let m(f) be the first derivative of 2*f**3 + 52*f**2 + 98*f + 1035. Find s, given that m(s) = 0.
-49/3, -1
Let u(n) be the first derivative of -n**5/5 + n**4/3 + 75*n**2 - 14. Let l(h) be the second derivative of u(h). Let l(z) = 0. Calculate z.
0, 2/3
Let t be 6*1 + -9*4/6. Let h(q) be the third derivative of -15*q**2 + t*q - 1/18*q**3 + 1/36*q**4 + 0 - 1/180*q**5. Suppose h(v) = 0. What is v?
1
Suppose 529 = -3*i + 4*q, -7*i - 2*q + 352 = -9*i. Let p be ((-3)/4)/(i/280). Factor 0*z - 3/5*z**5 + 0*z**4 - p*z**2 + 0 + 9/5*z**3.
-3*z**2*(z - 1)**2*(z + 2)/5
Let b(n) be the third derivative of n**8/1680 + 41*n**7/350 + 119*n**6/100 + 353*n**5/75 + 39*n**4/5 + 102*n**2 + 7. Factor b(v).
v*(v + 2)**3*(v + 117)/5
Let j(w) = -2*w**3 + 21*w**2 + 2*w - 11. Suppose -2 = 6*i + 58. Let r(u) = u**2 + 1. Let t(k) = i*r(k) + 2*j(k). Solve t(m) = 0 for m.
-1, 1, 8
Let m(w) be the first derivative of -33*w**6 - 1662*w**5/5 - 509*w**4 - 2200*w**3/9 - 56*w**2/3 - 3157. Determine t, given that m(t) = 0.
-7, -2/3, -2/33, 0
Let x(i) = -20*i**2 + 108*i + 120. Suppose -2*a - 2 = -2*t, 0 = -8*a + 13*a - 10. Let k(d) = -16*d**2 + 109*d + 119. Let c(r) = t*x(r) - 4*k(r). Factor c(j).
4*(j - 29)*(j + 1)
Determine l, given that -94/5*l**2 + 196/5*l - 2/5*l**3 + 0 = 0.
-49, 0, 2
Let p(o) be the first derivative of 2*o**5/7 + 143*o**4/14 - 1076*o**3/21 + 192*o**2/7 - 10352. Let p(m) = 0. What is m?
-32, 0, 2/5, 3
Factor 4*r**2 - 8 - 15 - 33*r + 9*r - 14*r**2 + 15.
-2*(r + 2)*(5*r + 2)
Let s(g) be the first derivative of -g**4/3 + 238*g**3/27 + 49*g**2/3 + 12440. Factor s(w).
-2*w*(w - 21)*(6*w + 7)/9
Factor -27*n**2 - 2*n**5 - 12*n**3 + 0*n**3 + 44*n - 4*n - 25*n**2 + 6*n**5 + 20*n**4.
4*n*(n - 1)**2*(n + 2)*(n + 5)
Let b = 1433 - 1433. Let y(f) be the first derivative of -18 - 3/14*f**4 + 0*f**2 - 1/21*f**3 + b*f. Factor y(c).
-c**2*(6*c + 1)/7
Let o be (120/75)/((-4)/(-10)). Suppose 0 = o*h + 5*y + 12, -4*y = 2*h - 3*h + 18. Suppose -19*u**2 - h*u**3 + 8*u**2 + 12*u**2 + u**4 = 0. What is u?
0, 1
Let m(u) be the first derivative of 1/7*u**3 + 6*u + 1/70*u**6 + 0*u**2 - 3/28*u**4 + 0*u**5 - 4. Let s(t) be the first derivative of m(t). Factor s(a).
3*a*(a - 1)**2*(a + 2)/7
Suppose 49 - 43 = -x. Let r(h) = -2*h - 4. Let l(u) = -u**2. Let f(v) = x*l(v) + r(v). Let a(y) = -y**2 - y + 1. Let w(z) = 4*a(z) + f(z). Factor w(k).
2*k*(k - 3)
Factor 2*n**5 - 487*n - 10*n**3 - 236 + 495*n + 236 + 0*n**2 + 6*n**4 - 6*n**2.
2*n*(n - 1)**2*(n + 1)*(n + 4)
Let n = -85/3034 + 6323/9102. Factor -n*p**3 + 4/3*p + 0 + 2/3*p**2.
-2*p*(p - 2)*(p + 1)/3
Factor 39*i + 30586*i**2 - 30581*i**2 + 121*i.
5*i*(i + 32)
What is a in 24*a + 256/5 - 4/5*a**2 = 0?
-2, 32
Factor -13/5*b + 1/5*b**3 + 0 - 12/5*b**2.
b*(b - 13)*(b + 1)/5
Suppose 51194 = 10*t + 16*t. Factor -16*u + u**3 + t*u**2 + 16 - 1973*u**2 + 3*u**3.
4*(u - 2)*(u - 1)*(u + 2)
Let i(t) be the third derivative of t**8/840 - t**7/75 - 67*t**6/300 - 137*t**5/150 - 13*t**4/10 + 11*t**2 + 85*t. Let i(j) = 0. Calculate j.
-3, -2, -1, 0, 13
Solve -18/17*j**5 - 728/17*j + 0 - 3854/17*j**3 - 2920/17*j**2 - 1680/17*j**4 = 0.
-91, -1, -2/3, 0
Factor 8/3*p**3 + 188*p - 130/3*p**2 - 246.
2*(p - 3)**2*(4*p - 41)/3
Let j be (-8556)/118358*249/(-6). Suppose 2/3*w - 11/9*w**2 - 35/9*w**j + 0 = 0. What is w?
-3/5, 0, 2/7
Let g be (-115)/(-368)*84/35. Factor -1/4*v**4 + g*v**3 + 1/4*v + 0 - 3/4*v**2.
-v*(v - 1)**3/4
Suppose 51 + 45 = 6*t. Suppose 3*o - 24 = -5*n, 0 = 2*o - 7*n + 2*n - t. Determine f, given that -20*f**3 + 37*f**2 - 5*f + f + o - 69*f**2 = 0.
-1, 2/5
Let p be (-75)/(-45)*(-1 - -4). Let -23*v**2 + 8*v**2 - 18*v**4 - 36*v**3 - 9*v**2 - 3*v**p = 0. What is v?
-2, 0
Suppose 2020 = 3*c + 2*n, 3*c - 402 - 1633 = -5*n. Let w = -668 + c. Let -3*i**2 - w + 1/2*i**3 + 9/2*i = 0. What is i?
1, 4
Let d = 386 - 383. Suppose 26*t**2 - 18*t**4 + 53*t**2 + 17*t**2 - d*t**5 = 0. What is t?
-4, 0, 2
Let w = 30 + -28. Suppose -3*b + 10*p + 72 = 5*p, -24 = -b - w*p. Suppose m**5 - 12*m**4 - b*m**2 + 5*m**3 - 31*m**3 - 8*m - 3*m**5 = 0. What is m?
-2, -1, 0
Factor -1/4*x**3 + 5/2*x**2 + 6 - 7*x.
-(x - 6)*(x - 2)**2/4
Let f(m) be the first derivative of 6*m**2 + 0*m + 1/40*m**6 + 16 - 1/2*m**3 + 3/8*m**4 - 3/20*m**5. Let i(a) be the second derivative of f(a). Factor i(s).
3*(s - 1)**3
Let t be ((-10)/6)/((-30)/(-9)*(-3)/12). Let c(d) be the first derivative of 0*d**t - 1/5*d**3 - 32 + 0*d. Factor c(h).
-3*h**2/5
Let t(x) = -2*x**3 + 48*x**2 - 163*x - 5. Let z(s) = -s**3 + 24*s**2 - 89*s - 3. Let c(b) = -3*t(b) + 5*z(b). Solve c(g) = 0 for g.
0, 2, 22
Let t(h) be the third derivative of h**5/15 - 67*h**4/3 + 430*h**3 + 183*h**2 - h - 20. Suppose t(l) = 0. What is l?
5, 129
Find p, given that -3582*p + 199*p**2 + 178974 - 1126885 - 202*p**2 - 121316 = 0.
-597
Suppose -11 = -4*i - 10*b + 7*b, 3*i + 28 = 5*b. Let d be (-2)/5*(i + 13 - 13). Suppose d*o**2 + 24/5*o + 72/5 = 0. Calculate o.
-6
Let m(k) be the third derivative of 0*k**3 - 1/5*k**5 + 2*k + 1/3*k**4 - 1/15*k**6 + 0 + 2/35*k**7 - 4*k**2. Solve m(w) = 0.
-1, 0, 2/3, 1
Find m such that 1776*m**2 - 3/2*m**5 - 477*m**3 + 0 + 93/2*m**4 - 1344*m = 0.
0, 1, 8, 14
Let w = 35638 - 35635. Let c(u) be the first derivative of -18*u + 44 - w*u**2 + 10/3*u**3 - 1/2*u**4. Solve c(l) = 0 for l.
-1, 3
Let z(k) be the first derivative of -k**5/210 - k**4/28 - 2*k**3/21 - 13*k**2/2 + 46. Let p(m) be the second derivative of z(m). Solve p(l) = 0.
-2, -1
Suppose 4*t + 39 - 87 = -40. Let y(l) be the second derivative of 0*l**t + 1/24*l**3 + 1/48*l**4 - 11*l + 0. Let y(a) = 0. What is a?
-1, 0
Let g(a) be the third derivative of a**6/24 - 115*a**5/2 + 66125