**4 + 0 = 0. Calculate i.
-2, 0, 2
Suppose -c + 1 = -5*u - 3, -3*c + 36 = -3*u. Let l be ((945/c)/15)/6. What is f in 0 - l*f**2 + 0*f**3 - 1/2*f + 1/4*f**4 = 0?
-1, 0, 2
Factor 7615103*s**3 - 176*s**2 + 704 + 5*s - 7615105*s**3 + 3*s.
-2*(s - 2)*(s + 2)*(s + 88)
Find l, given that 2744/3 + 2/9*l**3 + 98/9*l**2 + 1568/9*l = 0.
-21, -14
Suppose -104*y = 67*y + 79*y - 75*y. Let s(f) be the first derivative of -4/3*f**3 + y*f + 0*f**2 - 33. Let s(v) = 0. What is v?
0
Let j(a) be the first derivative of 4/3*a + 4/3*a**2 + 5/9*a**3 + 143 + 1/12*a**4. Let j(x) = 0. What is x?
-2, -1
Suppose -3*g + 105 = 3*k, 2*k + 4*g = g + 69. Factor -k*p + 28 - 13*p**2 - 10*p - 28*p**2 - 7*p**3 + 17*p**3 - 23*p**2.
2*(p - 7)*(p + 1)*(5*p - 2)
Let p(t) be the third derivative of 0*t**3 - 31*t**2 + 0 - 1/40*t**6 + 0*t - 4/35*t**7 + 1/2*t**4 + 2/5*t**5 - 3/112*t**8. Suppose p(y) = 0. Calculate y.
-2, -1, -2/3, 0, 1
Suppose 60 - 12 = 6*u. Let q be u + (-18)/(-27)*-12. Factor -5/4*c**3 + c + q + 2*c**2.
-c*(c - 2)*(5*c + 2)/4
Let r(w) be the first derivative of w**6/24 - 9*w**5/5 + 205*w**4/8 - 125*w**3 + 1125*w**2/8 + 6583. Suppose r(p) = 0. What is p?
0, 1, 5, 15
Find m such that 8983*m**2 - 597*m - 4453*m**2 - 3*m**3 + 504 - 4434*m**2 = 0.
1, 7, 24
Suppose 64*r**3 + 526*r - 308*r**2 - 263*r - 4*r**4 + 177*r - 192 = 0. What is r?
1, 6, 8
Let y(l) = 2*l + 4*l**2 - 2*l**2 - 3*l - 2*l - 1. Let i be y(3). Find h, given that -8*h**2 + 8*h**2 + 4*h**4 + 5*h**3 + 7*h**3 + i*h**2 = 0.
-2, -1, 0
Let f = -28 - -28. Suppose -3*o + 2*s + f*s - 10 = 0, -5*s + 25 = -4*o. Let o - 3/7*b**3 - 9/7*b + 12/7*b**2 = 0. Calculate b.
0, 1, 3
Let q(n) be the second derivative of -n**5/4 - 905*n**4/12 + 455*n**3/3 + 1790*n. Factor q(s).
-5*s*(s - 1)*(s + 182)
Let s(b) = 6*b. Let q(u) = -u**3 + 32*u**2 + 13*u - 62. Let f(m) = q(m) - 7*s(m). Suppose f(a) = 0. What is a?
-1, 2, 31
Find n, given that 48*n + 4*n**4 + 42*n - 117*n + 27*n + 416*n**3 = 0.
-104, 0
Let q = 445/58 + -34/29. Let t(j) be the second derivative of q*j**3 + 7/100*j**5 + 0 - 6/5*j**4 - 29*j - 5*j**2. Factor t(s).
(s - 5)**2*(7*s - 2)/5
Let w(u) be the second derivative of 7*u**6/15 + 51*u**5/2 - 172*u**4/7 + 148*u**3/21 + 130*u + 1. Find m such that w(m) = 0.
-37, 0, 2/7
Let d(g) be the first derivative of g**4/18 - 8*g**3/9 + 5*g**2 - 12*g + 155. Factor d(v).
2*(v - 6)*(v - 3)**2/9
Suppose 225/4*x**2 + 0*x + 59/4*x**4 + 5/4*x**5 + 0 + 215/4*x**3 = 0. What is x?
-5, -9/5, 0
Let g be (11 - 7) + (-4038)/90. Let u = 41 + g. Factor -2/15*c**2 - u*c + 0 + 2/15*c**4 + 2/15*c**3.
2*c*(c - 1)*(c + 1)**2/15
Let d(u) = 2*u**2 - 118*u + 206. Let q(m) = -3*m**2 + 117*m - 174. Let b(o) = -2*d(o) - 3*q(o). Suppose b(s) = 0. Calculate s.
1, 22
Let t be -2*6963/72 + 26/39. Let x = 2321/12 + t. Factor -x*f**3 + 2/3*f + 2/9*f**4 + 2/9*f**2 - 4/9.
2*(f - 2)*(f - 1)**2*(f + 1)/9
Suppose 4*t + 14 = 3*i, 0*i = 4*i - 5*t - 18. Suppose 56*n + 40*n**3 - 35*n**2 - 47*n**i + 2*n**2 - 16 + 4*n - 4*n**5 = 0. What is n?
-4, 1
Let s = 569 - 567. Let k be (-1881)/(-385) - 4 - s/7. Factor -3/5*p**4 + 9/5*p**3 + k*p**2 - 9/5*p + 0.
-3*p*(p - 3)*(p - 1)*(p + 1)/5
Let v be ((-2)/(-5))/((84/770)/((-198)/(-242))). Suppose v*g**2 - 3/2 - 1/2*g**5 + g**3 - 1/2*g - 3/2*g**4 = 0. What is g?
-3, -1, 1
Let a(b) = -b**2 + b + 1251. Let t be a(0). Suppose -1697 = -4*x + 3*v, x - 5*v = 4*x - t. Factor x - 6*u**3 - 6*u - 422 - 20*u**2.
-2*u*(u + 3)*(3*u + 1)
Suppose -32*m - 12 = -38*m. Factor -433*t - 17405 + 1023*t - 4*t**m - t**2.
-5*(t - 59)**2
Let a(l) be the third derivative of -l**5/330 + 115*l**4/132 - 112*l**3/11 + 3484*l**2. Factor a(n).
-2*(n - 112)*(n - 3)/11
Suppose -2*g + 57*o - 55*o = -4, -5*g - 2*o = 4. Let b be (2/(-8))/(55/(-88) - g). Factor -s**3 + b - 1/5*s - 8/5*s**2.
-(s + 1)**2*(5*s - 2)/5
Let k(s) = -13*s**2 + 16*s + 156. Let a(l) = 180*l**2 - 225*l - 2185. Let b = 325 + -321. Let m(f) = b*a(f) + 55*k(f). Determine o so that m(o) = 0.
-4, 8
Let d(o) be the second derivative of 1/9*o**4 + 0 - 162*o + 40/9*o**3 - 14*o**2. Solve d(r) = 0 for r.
-21, 1
Let -8447*o - o**3 - 123245 - 221*o**2 - 98*o**2 - 17772*o = 0. Calculate o.
-157, -5
Let u(b) be the second derivative of 2*b**7/315 - b**6/120 - b**5/180 - 4*b**2 + 2*b + 14. Let v(n) be the first derivative of u(n). Solve v(h) = 0.
-1/4, 0, 1
Let c be -1 - ((-292)/(-24) + (-1)/(-2)). Let h = c + 52/3. Factor 19/3*m + 1/3*m**3 + 3 + h*m**2.
(m + 1)**2*(m + 9)/3
Suppose 10443 = -5*u - 11*y + 8*y, -y = -5*u - 10439. Let g = -2086 - u. What is f in -12 + 4*f - 1/3*f**g = 0?
6
Let q(s) be the third derivative of -s**6/180 + 7*s**5/10 + 85*s**4/9 - 4*s**2 - 44*s + 11. Suppose q(p) = 0. What is p?
-5, 0, 68
Let v(c) be the third derivative of 11/60*c**5 + 2*c + 1/120*c**6 + 0 + 19/24*c**4 - 15*c**2 + 3/2*c**3. Factor v(m).
(m + 1)**2*(m + 9)
Let -6*v**4 + 93/2*v**3 - 45/2*v - 78*v**2 + 0 = 0. What is v?
-1/4, 0, 3, 5
Let w(m) be the second derivative of 5*m**6/12 + 31*m**5/4 + 85*m**4/2 + 290*m**3/3 + 80*m**2 - 594*m - 3. Solve w(l) = 0 for l.
-8, -2, -2/5
Let v(k) = 4*k**2 - 348*k + 358. Let d be v(86). Let h(m) be the first derivative of 16/3*m**3 + 10*m**2 + 4*m - d. Determine x so that h(x) = 0.
-1, -1/4
Let f(u) = -29*u**3 - 210*u**2 + 141*u + 82. Let l(t) = 28*t**3 + 210*t**2 - 142*t - 84. Let a(c) = -3*f(c) - 4*l(c). Suppose a(o) = 0. What is o?
-9, -2/5, 1
Factor 1606/3 + 1/3*j**2 + 1607/3*j.
(j + 1)*(j + 1606)/3
Suppose 0 = j - c - 10, -4*j = -2*j - c - 17. Suppose 0 = 4*p - 8. Factor 0*q**4 - 7*q**3 - 4*q**p + 8*q + 6 + 5*q**4 - q**3 - j*q**4.
-2*(q - 1)*(q + 1)**2*(q + 3)
Let f(t) = -3*t**2 - t. Let u(j) = -8*j**2 - 3*j. Suppose w - 13 = 8*s - 4*s, 5*w = 2*s + 29. Let r(d) = w*f(d) - 2*u(d). Solve r(c) = 0 for c.
-1, 0
Determine f, given that -254/7*f + 0 + 2/7*f**2 = 0.
0, 127
Let r = 75 - -169. Determine y, given that 48*y**2 + 33*y**4 + 23*y**3 - 244 + r + 55*y**3 + 3*y**5 = 0.
-8, -2, -1, 0
Let d = 11/54 + -253/27. Let q = -101/12 - d. Let -q + 1/2*s + 1/4*s**2 = 0. What is s?
-3, 1
Let v(s) be the second derivative of -s**5/2 + 13*s**4/6 - 4*s**3/3 - 4*s**2 + 785*s - 1. Factor v(x).
-2*(x - 2)*(x - 1)*(5*x + 2)
Let b be (-6*(-1)/4)/((-18)/(-36)). Suppose b*v + 21 = 3*t, -3*t = 5*v - v. Factor -t*f**3 - 15*f**2 + 32*f**2 - 15*f**2 + 2*f**4.
2*f**2*(f - 1)**2
Let u(w) be the first derivative of -w**6/24 + w**5/3 - 25*w**4/24 + 5*w**3/3 + 21*w**2 + w + 20. Let l(s) be the second derivative of u(s). Factor l(n).
-5*(n - 2)*(n - 1)**2
Let g = 262 - 257. Let 5*t**3 - 3*t**3 - 675*t**g - 2*t**4 + 2*t**2 + 673*t**5 = 0. Calculate t.
-1, 0, 1
Let d(a) be the first derivative of -288*a + 1/2*a**4 + 46/3*a**3 + 120*a**2 - 108. Factor d(h).
2*(h - 1)*(h + 12)**2
Let l(s) = 5*s**4 + 56*s**3 + 45*s**2 - 6*s + 12. Let x be -3 + -3 - (-20 + 20). Let j(a) = a**3 - a + 2. Let p(k) = x*j(k) + l(k). Factor p(v).
5*v**2*(v + 1)*(v + 9)
Let s(v) = -468*v**2 - 258*v + 99. Let t(x) = -9*x**2 - 3. Let j(r) = -s(r) - 9*t(r). Factor j(q).
3*(3*q + 2)*(61*q - 12)
Suppose -d + 2 = 2*x, -11*x + 12*x + 2*d + 5 = 0. What is m in -m**2 + x + 0*m**2 - 21 - m**2 + 26*m - 6 = 0?
1, 12
Let a(n) be the first derivative of 2*n**5/45 - n**4/6 - 8*n**3/27 + 4*n**2/3 - 1905. Suppose a(y) = 0. What is y?
-2, 0, 2, 3
Let g be (-514)/1799 + (-40)/(-91). Factor 0*x - g*x**5 + 8/13*x**2 + 0 + 10/13*x**4 - 16/13*x**3.
-2*x**2*(x - 2)**2*(x - 1)/13
Find o, given that 16*o - 9344*o**2 + 9388*o**2 - 44*o**3 - 14*o**4 - 2*o**3 = 0.
-4, -2/7, 0, 1
Let j(x) = -466*x - 1398. Let n be j(-3). Factor n*t**3 + 1/2*t**4 + 0 - 3/2*t**2 + t.
t*(t - 1)**2*(t + 2)/2
Let d(m) be the first derivative of -m**5/240 - 7*m**4/16 - 147*m**3/8 + 25*m**2/2 - 79. Let i(k) be the second derivative of d(k). Factor i(u).
-(u + 21)**2/4
Let v = 9 + -9. Suppose -6 + 19 = 5*c - y, 17 = 4*c - 3*y. Factor 3/2*s + v + 5/2*s**c.
s*(5*s + 3)/2
Suppose 348*w - 341*w = 329. Factor -20*j - w*j**3 + 12 + 25*j**3 + 26*j**3 + 4*j**2.
4*(j - 1)**2*(j + 3)
Suppose 16 = -4*i - 5*b + 33, -4*i + 5*b + 7 = 0. Factor n**2 - 1/8*n**i - 19/8*n + 3/2.
-(n - 4)*(n - 3)*(n - 1)/8
Let c = 364/5365 + -2/145. Let u = c - -434/185. Factor 48/5*h + u - 27/5*h**2.
-3*(h - 2)*(9*h + 2)/5
Let c be ((-98)/(-35))/(3/(-30)). Let w = 124 + c. Factor -w*x - 48 - 41*x**2 - 58*x**2 - 30*x**3 - 3*x**4 + 8