
-10, -1
Let j(o) be the second derivative of o**5/70 - 365*o**4/14 + 133225*o**3/7 - 48627125*o**2/7 - 553*o. Factor j(g).
2*(g - 365)**3/7
Suppose 9 - 114*p**2 - 83 + 10 + 25*p - 11*p**3 - 177*p - 2*p**4 - 17*p**3 = 0. Calculate p.
-8, -4, -1
Let r = -230344 - -230347. Find y, given that -6/7*y**2 + 0 + 0*y + 2/7*y**5 + 2*y**r - 10/7*y**4 = 0.
0, 1, 3
Let c(m) be the third derivative of m**8/168 + 3*m**7/70 + m**6/15 - m**5/10 - 5*m**4/12 - m**3/2 - 1805*m**2. Let c(j) = 0. What is j?
-3, -1, -1/2, 1
Factor 278*n + 57*n**2 + 9*n + 4 - 19 + 25.
(n + 5)*(57*n + 2)
Factor 2*g**3 + 105 - 110*g - 7*g**3 + 111 - 85*g**2 + 384.
-5*(g - 2)*(g + 4)*(g + 15)
Find n such that 1644/17*n**3 - 4504/17*n**2 - 84 - 4*n**4 + 4358/17*n - 2/17*n**5 = 0.
-51, 1, 14
Let b(f) be the first derivative of 55 + 4/11*f**2 - 8/11*f + 2/33*f**3 - 1/22*f**4. Find a such that b(a) = 0.
-2, 1, 2
Find a such that -30*a + 921*a**5 + 606*a**5 - 1282*a**5 - 1155*a**4 - 445*a**2 - 1815*a**3 = 0.
-1, -1/7, 0, 6
Let b be 264/(-1144)*(-78)/4. Find n such that -15/2*n**2 + 2*n**3 + 0 + b*n = 0.
0, 3/4, 3
Let q = 224 + -120. Factor -q*i - 25*i**2 - 2 + 62*i + 57*i.
-(5*i - 2)*(5*i - 1)
Solve 615/7*t**2 - 3/7*t**4 + 300/7*t**3 - 300/7*t - 612/7 = 0 for t.
-2, -1, 1, 102
Let x(n) be the second derivative of n**4/120 - 19*n**3/15 - 39*n**2/5 + 706*n. Factor x(j).
(j - 78)*(j + 2)/10
Suppose -33*k**4 - 516 + 6*k**5 + 406*k**3 + 375*k**2 + 34*k**4 + 140*k**4 + 119*k**3 - 528*k - 3*k**5 = 0. Calculate k.
-43, -2, -1, 1
Let n = -186506 - -559520/3. Factor -207646/3 - 94*w**2 - 4418*w - n*w**3.
-2*(w + 47)**3/3
Let u(h) be the first derivative of 1/3*h**2 + 1/120*h**5 + 0*h**3 - 19 + 21*h - 1/24*h**4. Let b(m) be the first derivative of u(m). What is n in b(n) = 0?
-1, 2
Let u = -2/371869 + 8924870/2603083. Solve 6/7*v**4 + 12/7*v**2 - 16/7 - u*v + 22/7*v**3 = 0.
-2, -2/3, 1
Let d(v) = v**3 + v**2 + 2*v - 1. Let a(r) = 2*r**4 + 40*r**3 + 118*r**2 + 176*r + 60. Let h(l) = a(l) - 12*d(l). Factor h(n).
2*(n + 1)*(n + 2)**2*(n + 9)
Suppose -120 - 83 = 7*o. Let l = 31 + o. Factor -20*b**2 - l*b**3 + 12 + 6*b**3 + 0*b**3 - 8*b + 4*b + 8*b**4.
4*(b - 1)**2*(b + 1)*(2*b + 3)
Let l = -28/113 + 1381/1469. Let q = 141/91 - l. Let 0 + q*p**2 + 2/7*p**3 - 8/7*p = 0. What is p?
-4, 0, 1
Let p(c) be the first derivative of 41 - 1/2*c**4 + 3/20*c**5 - 9*c + 0*c**2 + 1/2*c**3. Let y(g) be the first derivative of p(g). Factor y(b).
3*b*(b - 1)**2
Let y = 222 + -204. Let a be (-9)/(-27) + 30/y. Factor -2/5*z**a - 32/5 + 16/5*z.
-2*(z - 4)**2/5
Let r(w) be the third derivative of 1/1440*w**6 + 1/240*w**5 + 0 + 2*w**3 + 0*w**4 + 0*w - 3*w**2. Let s(t) be the first derivative of r(t). Factor s(u).
u*(u + 2)/4
Let r be 7/(11/99*-21) - 120/(-36). Factor 6 - r*w**2 - 7/3*w.
-(w - 2)*(w + 9)/3
Let a be 4/17*(-6596)/(-1164). Let m(l) be the first derivative of -l**4 + 4 + 10*l**2 - 12*l - a*l**3. Factor m(x).
-4*(x - 1)**2*(x + 3)
Suppose 0 = -22*k + 36*k - 490. Suppose 0 = -5*w - k*r + 30*r + 10, w + 4*r - 2 = 0. Factor 0 - 10/9*d**3 + 2/3*d**w + 2/9*d**4 + 2*d.
2*d*(d - 3)**2*(d + 1)/9
Let q(i) be the second derivative of i**5/210 + 2*i**4/7 - 37*i**3/63 + 8*i + 27. Find l, given that q(l) = 0.
-37, 0, 1
Solve -1162206 + r**2 + 1162206 + 4*r**2 + 621*r - 216*r = 0 for r.
-81, 0
Let b(q) be the first derivative of -q**5 + 3475*q**4/4 + 1160*q**3 - 11266. Factor b(k).
-5*k**2*(k - 696)*(k + 1)
Let q = -300140 - -300143. Determine t so that -3/2*t**2 - q*t + 45/2 = 0.
-5, 3
Let s = -77 + 105. Suppose -33*h + 19*h = -s. Determine q so that 8/3*q + 2/3*q**h + 8/3 = 0.
-2
Let w(s) = -3*s**2 - 42*s + 63. Let f(c) = 6*c + 3. Let t(v) = -15*f(v) - w(v). Factor t(i).
3*(i - 18)*(i + 2)
Let x = -80964 - -80994. Find k, given that -3/2*k**4 + 0 - 24*k - x*k**2 - 12*k**3 = 0.
-4, -2, 0
Let c be ((-90)/33)/15 + (-3346)/(-11). Suppose -c*t = -281*t - 23. Suppose 1/4*s**2 + t + 5/4*s = 0. What is s?
-4, -1
Factor 187*p + 1192*p**3 - 522*p**2 - 1189*p**3 + 332*p.
3*p*(p - 173)*(p - 1)
Let z(h) be the second derivative of -h**4/15 + 98*h**3/3 - 488*h**2/5 + 72*h - 25. Suppose z(u) = 0. Calculate u.
1, 244
Let v(h) = h + 0*h + 6*h - 4 + 0*h. Let x be v(1). Let d**2 - 8*d + 49 - 49 + 11*d**2 - 4*d**x = 0. What is d?
0, 1, 2
Let g(v) be the third derivative of v**5/40 + 217*v**4/16 - 219*v**3/2 + 9*v**2 + 20. Suppose g(f) = 0. Calculate f.
-219, 2
What is c in 2*c**2 + 31 + 2*c - 2*c**3 + 4*c**2 - 3 - 36 + 2*c**2 = 0?
-1, 1, 4
Let c = 35 - 32. Suppose -2*k - c*a = -10 - 0, -4*k + 6 = -a. Find t such that -5 + 18*t - 2*t**2 - t**k - 22 = 0.
3
Let h(v) = -v**3 + 20*v**2 + 97*v - 24. Let a be h(24). Suppose a = -10*c + 15 - 15. Factor c - 2/3*j**2 + 20/3*j.
-2*j*(j - 10)/3
Let g be (85/(-5))/(1*(-1 - 0)). Suppose g = 33*c - 16. Determine x, given that 15/2*x**2 - 1/2*x - c = 0.
-1/3, 2/5
Let z = -565 - -2205. Factor 878*g**3 + z*g + 37 + 6727*g**3 + 9165*g**2 + 39 + 4.
5*(g + 1)*(39*g + 4)**2
Let r(c) = -8*c**3 - 21*c**2 - 102*c - 44. Let h(u) = 3*u**3 + 10*u**2 + 47*u + 22. Let k(v) = 5*h(v) + 2*r(v). Find m such that k(m) = 0.
-2, -1, 11
Suppose 3*o = 3*k - 5*k + 6, 5*k - o - 15 = 0. Factor 6*h**3 + h**4 + 1327 - 2*h**k - 7*h**2 + h**3 - 1321 - 5*h.
(h - 1)**2*(h + 1)*(h + 6)
Let m be (-2)/(-7) + 936/56. Let v be (52/20 - 3) + m/30. Factor -v*z**2 + 1/3*z - 1/6.
-(z - 1)**2/6
Let o(r) be the second derivative of -2*r - 1/12*r**3 - 1/12*r**4 + 1/120*r**6 + 1/40*r**5 + 3/8*r**2 + 16. Let o(k) = 0. Calculate k.
-3, -1, 1
Suppose 3*b - 3*l - 24 = 0, -6 = 3*l + 3. Let n(a) be the first derivative of 23 + 7*a**3 - 2*a**3 + 1 + 0 + b*a**2 - 5*a. Factor n(m).
5*(m + 1)*(3*m - 1)
Let y(f) be the second derivative of f**6/6 + f**5/2 - 15*f**4/4 - 15*f**3 + 3*f - 17. What is u in y(u) = 0?
-3, -2, 0, 3
Suppose -155*g + 20 = -151*g. What is m in -3*m**5 + 2*m**g - 19*m**4 - 5*m**2 - 4*m**2 + 33*m**3 + 4*m**5 = 0?
0, 1/3, 3
Let c = -184 - -187. Factor 3983*d + 16*d**c - 3983*d - 14*d**2 - 2*d**4.
-2*d**2*(d - 7)*(d - 1)
Let p(k) be the first derivative of -2*k**5/35 - 27*k**4/14 + 38*k**3/7 - 29*k**2/7 - 545. Determine a so that p(a) = 0.
-29, 0, 1
Let q(j) = -21*j + 128. Let y be q(6). Suppose -3*z = -3*c, y*z + 2*c - 3*c = 0. Let 0*v - 9/4*v**4 - 3/4*v**2 - 3/4*v**5 + z - 9/4*v**3 = 0. What is v?
-1, 0
Let x(w) be the first derivative of 4/3*w**3 + 24*w - 14*w**2 - 33. Find n, given that x(n) = 0.
1, 6
Factor -19*k + 52*k - 135*k**2 - 22*k - 6*k - 120*k**2 + 255 - 5*k**3.
-5*(k - 1)*(k + 1)*(k + 51)
Let a be (675/30 + -24)*-2*1. Let c(v) be the first derivative of 0*v - 1/6*v**2 + 1/18*v**a - 35. Factor c(s).
s*(s - 2)/6
Let x(c) be the first derivative of 3/35*c**5 + 1/7*c**2 + 3/7*c**3 + 5/14*c**4 - 97 + 0*c. Determine t, given that x(t) = 0.
-2, -1, -1/3, 0
Let g(u) be the first derivative of -u**4/10 + 272*u**3/15 - 4189*u**2/5 - 60492*u/5 + 2278. Let g(y) = 0. Calculate y.
-6, 71
Factor 22*b**2 - 2*b - 74 + 11*b**2 + 2*b**3 + 41*b**2.
2*(b - 1)*(b + 1)*(b + 37)
Let a(p) be the third derivative of 0*p**4 + 0*p + 0*p**3 + 1/840*p**7 - 20*p**2 + 0 + 0*p**6 - 1/240*p**5. Factor a(q).
q**2*(q - 1)*(q + 1)/4
Let l(k) = k**4 - 34*k**3 + 188*k**2 - 366*k + 223. Let z(d) = -d**3 - d**2 + 9*d - 1. Let c(a) = 3*l(a) - 6*z(a). Let c(u) = 0. What is u?
1, 3, 25
Suppose -9*k + 25 - 7 = 0. Factor -x**4 - x**4 - 7*x + 8*x**3 + 2563*x**k + 4 - 2565*x**2 - x**5.
-(x - 1)**3*(x + 1)*(x + 4)
Let s(y) be the first derivative of -347*y**3/3 + 353*y**2/4 - 3*y/2 - 33. Factor s(k).
-(2*k - 1)*(347*k - 3)/2
Let q be (-55)/(-20) - 2/(-8). Suppose -5*w + 0*w + 199 = q*b, 3*w + 5*b - 113 = 0. Find k such that 39*k**3 + 2*k**2 + 2*k**2 + 0*k**2 - w*k**3 = 0.
0, 2
Suppose -2001*g**2 - 3069/4*g**3 + 33/4*g**5 + 0 + 909*g**4 - 333*g = 0. Calculate g.
-111, -1, -2/11, 0, 2
Let o(u) = -72*u**2 + 205*u + 5. Let l(t) = -375*t**2 + 1023*t + 25. Let x(r) = 2*l(r) - 11*o(r). Find w such that x(w) = 0.
-1/42, 5
Suppose -52/7*k**3 - 24/7*k**4 + 208/7*k + 32/7 + 88/7*k**2 = 0. Calculate k.
-2, -1/6, 2
Let u(k) be the third derivative of -k**6/24 + 97*k**5/6 + 985*k**4/6 + 660*k**3 - 1122*k**2. Factor u(h).
-5*(h - 198)*(h + 2)**2
Let g(j) be the first derivative of 4*j**5/5 - 24*j**4 + 192*j**3 + 2980. Solve g(p) = 0.
0, 12
Suppose 3/2*d**5 + 27/4*d**4 + 0 - 27/4*d + 21/4*d**3 -