 0*f**2 + 1/100*f**5 + 1/30*f**4. Factor k(w).
w*(w + 1)**2/5
Suppose 10 = v - 2*t, -t = 6 - 5. Factor 8*g**2 + 12*g**2 - 27 - 18*g + v*g**2 - 31*g**2.
-3*(g + 3)**2
Let o(g) be the third derivative of -g**7/84 - 7*g**6/240 + 3*g**5/20 + 7*g**4/12 + 2*g**3/3 + 103*g**2. Let o(m) = 0. What is m?
-2, -1, -2/5, 2
Let c = 15588 + -15576. Find p, given that -54/5*p**2 + 3/5*p**4 + 12/5*p**3 + c*p - 21/5 = 0.
-7, 1
Let y = -37 + 40. Solve 11*z**2 + 0 + 0 + z**2 - y*z**4 = 0.
-2, 0, 2
Let f = -13 + 11. Let i be (4/(-2))/(1/f). Factor 5*g**4 + 2 - 4*g**2 + i*g**4 - 3*g**4 - 4*g**4.
2*(g - 1)**2*(g + 1)**2
Let l(o) be the third derivative of o**5/60 - o**4/24 + 30*o**2. Let r(g) = -g**2 + 5*g + 2. Let p(j) = -2*l(j) - r(j). Find n, given that p(n) = 0.
-2, -1
Suppose 5*z - 100*z + 88 = -51*z. Factor 5/4*b**z + 180 - 30*b.
5*(b - 12)**2/4
Let j(n) be the first derivative of n**5/5 + n**4 + n**3 - 61. Factor j(z).
z**2*(z + 1)*(z + 3)
Let m(l) be the second derivative of -l**6/270 - 11*l**5/90 - 23*l**4/36 + 286*l**3/27 - 338*l**2/9 - 5*l + 19. Determine p, given that m(p) = 0.
-13, 2
Determine c, given that 176/3 - 380/3*c - 10/3*c**3 - 146/3*c**2 = 0.
-11, -4, 2/5
What is l in -79*l**2 + 36*l + 4*l**5 - 40*l**3 + 35*l**2 + 36*l**2 + 20 - 12*l**4 = 0?
-1, 1, 5
Factor -2/3*d**2 - 512/3 - 64/3*d.
-2*(d + 16)**2/3
Let u = 4/209 + 824/627. Let v(r) be the first derivative of 0*r**2 - u*r**3 - 5 - 1/3*r**6 + 0*r - 8/5*r**5 - 5/2*r**4. Factor v(m).
-2*m**2*(m + 1)**2*(m + 2)
Let b(t) be the third derivative of t**6/120 + t**5/30 - t**4/24 - t**3/3 + 5*t**2. Suppose b(o) = 0. Calculate o.
-2, -1, 1
Let i(z) be the second derivative of 0 - 5/18*z**3 + 23*z + 1/60*z**5 + 1/2*z**2 + 1/36*z**4. Solve i(p) = 0.
-3, 1
Suppose -15*v + 9*v = -1164. Suppose 94 + v - 48*a + a**2 + a**2 = 0. What is a?
12
Let -10*b**5 - 2*b + 14*b**2 + 12*b**3 - 11*b**4 + 9 - 2 - 10 = 0. Calculate b.
-1, -3/5, 1/2, 1
Let p(y) = -17*y**2 + 4*y + y - 25*y**3 + 3*y. Let a(i) = -i**2 - i. Let x(s) = 3*a(s) + p(s). Factor x(q).
-5*q*(q + 1)*(5*q - 1)
Let f(j) = 2*j - 3. Let a be f(3). Suppose a*y + 5*m - 5 = 0, 5 - 2 = 5*y + 3*m. Solve y + 3/7*w**3 + 0*w - 3/7*w**2 = 0.
0, 1
Let v(l) be the third derivative of 1/210*l**7 + 6*l**2 - 1/336*l**8 + 0*l**3 + 1/12*l**4 - 1/12*l**5 + 0*l + 1/40*l**6 + 0. Factor v(a).
-a*(a - 1)**3*(a + 2)
Let n = 13/60 - 2/15. Let z(o) be the second derivative of n*o**4 + 0 + 1/6*o**3 + 0*o**2 - 1/10*o**5 + o. Factor z(c).
-c*(c - 1)*(2*c + 1)
Find x, given that -2/3*x + 2/9*x**2 - 4 = 0.
-3, 6
Suppose 13*h = 18*h + 30. Let n(f) = -f**4 - f**3 - f + 1. Let u(c) = -5*c**5 + c**4 + 6*c**3 + 6*c - 6. Let k(a) = h*n(a) - u(a). What is x in k(x) = 0?
-1, 0
Factor -12/7*s**2 - 16/7 + 24/7*s + 2/7*s**3.
2*(s - 2)**3/7
Suppose -z + 4*p = -20, -5*z = 299*p - 303*p - 20. Determine k, given that z + 0*k + 27/4*k**3 + 3/2*k**2 + 21/4*k**4 = 0.
-1, -2/7, 0
Let p(x) = -3*x**3 - 41*x**2 - 57*x + 39. Let m be p(-12). Find g such that 2/5 + 0*g**m + 0*g + 2/5*g**4 - 4/5*g**2 = 0.
-1, 1
Let n = -1/2207 + 130219/13242. Let p = n - 401/42. Let 2/7*h**3 - 2/7*h + p - 2/7*h**2 = 0. What is h?
-1, 1
Let g(v) be the third derivative of 2*v**7/105 - 4*v**5/15 + v**2. Determine x, given that g(x) = 0.
-2, 0, 2
Let g(w) = 5*w**4 + 2*w**3 + 17*w**2 - 20*w - 36. Let o(z) = 27*z**4 + 9*z**3 + 84*z**2 - 99*z - 180. Let m(v) = 21*g(v) - 4*o(v). Find r, given that m(r) = 0.
-2, -1, 2, 3
Let s(h) be the second derivative of h**7/84 - h**6/30 - 3*h**5/40 + h**4/3 - h**3/3 - 52*h. Factor s(k).
k*(k - 2)*(k - 1)**2*(k + 2)/2
Let v(x) = -11*x**3 + 14*x**2 - 21*x + 6. Let i(n) = n**3 + n**2 + n - 1. Let l = -150 + 156. Let o(k) = l*i(k) + v(k). What is s in o(s) = 0?
0, 1, 3
Let c(u) be the first derivative of -3/28*u**4 + 0*u - 18 + 9/14*u**2 + 2/7*u**3. Factor c(a).
-3*a*(a - 3)*(a + 1)/7
Let q(v) = -v**2 - 13*v - 42. Let c be q(-6). Let s(t) be the second derivative of c - t**3 + 3/2*t**2 + 1/4*t**4 - 4*t. Find i such that s(i) = 0.
1
Let h be (-2)/(-4)*14 - (1464/27)/8. Suppose h*v**2 - 4/3 - 2/9*v = 0. What is v?
-2, 3
Let c(r) = r**3 + 45*r**2 - 45*r + 46. Let j be c(-46). Let -6/17*l**3 + j*l**2 + 8/17*l + 0 - 2/17*l**4 = 0. Calculate l.
-2, 0, 1
Let v be (-3)/(-1) + -1*2. Suppose 0 = 3*b - v - 5. Solve 9*x**2 - 62*x**3 - 27*x**b - 8*x - 30*x**4 - 22*x**2 = 0 for x.
-1, -2/3, -2/5, 0
Let x(i) be the third derivative of -i**5/105 + 31*i**4/42 - 20*i**3/7 + 189*i**2. Factor x(u).
-4*(u - 30)*(u - 1)/7
Suppose -1 = -8*l + 31. Solve 3*k**4 - k**4 - 14*k**2 - 9 + 1 - l*k**2 + 2*k**3 + 22*k = 0.
-4, 1
Let y(v) be the first derivative of v**4/18 + 16*v**3/27 + 5*v**2/3 - 73. Factor y(z).
2*z*(z + 3)*(z + 5)/9
Let v(q) = 2*q**2 - 42*q - 46. Let o(g) = g**2 - 43*g - 47. Let f(i) = 2*o(i) - 3*v(i). Solve f(b) = 0.
-1, 11
Suppose 43*o + 29*o = 33*o. Factor -2/17*u**2 + o*u + 0 - 2/17*u**3.
-2*u**2*(u + 1)/17
Let z(l) = -2*l**2 - 2*l + 6. Let w(c) = -3*c + 11 + 4*c + 0 - 10. Let m(r) = -6*w(r) + z(r). Solve m(b) = 0 for b.
-4, 0
Let h(s) be the second derivative of s**6/70 - 27*s**5/35 + 51*s**4/4 - 289*s**3/7 - 197*s. Find d such that h(d) = 0.
0, 2, 17
Let t = 87 - 95. Let i be t/(1/(((-10)/4)/5)). What is y in -1/2*y**2 + 1/2*y**5 + 0 + 1/2*y**i + 0*y - 1/2*y**3 = 0?
-1, 0, 1
Let j(h) = h**4 - h**3 + h**2 + h - 3. Let z(y) = 4*y**5 + 140*y**4 - 452*y**3 + 460*y**2 - 160*y + 12. Let q(i) = -4*j(i) - z(i). Solve q(g) = 0 for g.
-39, 0, 1
Let f(v) be the first derivative of 2/3*v**3 + 9 - 4*v - v**2. Solve f(t) = 0.
-1, 2
Suppose -t = 4, -6*w + w + 5*t = -145. Suppose 4 + 3 = -r + 3*s, -w = -5*r + 3*s. Factor 3*n**2 + 4*n**4 - 4*n**3 - 4*n - 7*n**2 + r*n**3.
4*n*(n - 1)*(n + 1)**2
Let m(k) be the second derivative of 0 - 1/21*k**4 + 0*k**2 - 24*k + 0*k**3 - 11/70*k**5. Find j such that m(j) = 0.
-2/11, 0
Let n(d) be the third derivative of d**7/315 + 3*d**6/20 + 17*d**5/30 + 25*d**4/36 + 18*d**2 - 8. Suppose n(u) = 0. What is u?
-25, -1, 0
Factor -14/9*i**3 + 20/9*i + 22/9*i**2 - 16/9.
-2*(i - 2)*(i + 1)*(7*i - 4)/9
Let c(t) be the first derivative of t**5/270 + t**4/12 + 8*t**3/27 - 7*t**2 + 10. Let l(k) be the second derivative of c(k). Factor l(g).
2*(g + 1)*(g + 8)/9
Let g(b) be the second derivative of 5*b**7/42 - b**6/6 - b**5/4 + 5*b**4/12 - 77*b. Factor g(f).
5*f**2*(f - 1)**2*(f + 1)
Let t(j) be the first derivative of j**4/4 + 5*j**3/3 - 4*j**2 - 48*j - 355. Let t(g) = 0. What is g?
-4, 3
Let o = 39139/22 - 1778. Let m = -6/11 + o. Factor 7/4*b**2 - m*b - 5/4*b**3 + 0.
-b*(b - 1)*(5*b - 2)/4
Suppose 13*b - 13*b - 3*b + 9*b**3 + 3*b**2 - 34*b + 20 + b**4 + 4 = 0. Calculate b.
-8, -3, 1
Factor -4*n - 6*n**2 - 50*n**4 + 2*n**3 + 5*n**4 + 2*n**5 + 51*n**4.
2*n*(n - 1)*(n + 1)**2*(n + 2)
Factor 5/3*z**2 - 21*z + 12.
(z - 12)*(5*z - 3)/3
Let s(m) = -7*m**3 - 5*m**2 + 11*m - 4. Let a(t) = -6*t**3 - 4*t**2 + 10*t - 4. Suppose -3 + 18 = 3*o. Let k(u) = o*a(u) - 4*s(u). Let k(d) = 0. Calculate d.
-2, 1
Let b(o) be the second derivative of o**5/80 - 43*o**4/24 + 343*o. Let b(s) = 0. Calculate s.
0, 86
Let z(x) = -x**2 + x + 18. Let t be z(0). Let h be (t/8)/(75/40). Find v, given that 2/5*v**5 + 6/5*v**4 + 2/5*v**2 + 0*v + 0 + h*v**3 = 0.
-1, 0
Let j = -1/463 - -468/2315. Factor 9/5*h**2 - 24/5*h + 16/5 - j*h**3.
-(h - 4)**2*(h - 1)/5
Suppose 0 = 24*j + 4*j. Let f(t) be the first derivative of -5/3*t**3 + t**2 + 9 + j*t - 7/4*t**4. Factor f(l).
-l*(l + 1)*(7*l - 2)
Let n(a) be the third derivative of a**8/588 - a**7/735 - 17*a**6/420 + 8*a**5/105 + a**4/7 + 114*a**2. Find h such that n(h) = 0.
-3, -1/2, 0, 2
Let j be (-12*(-4)/15)/(7/70). Factor 11*y**2 - 18*y**2 - j + 88*y - 13*y**2.
-4*(y - 4)*(5*y - 2)
Factor 2/3*a**2 + 1/6*a**3 + 0 + 1/2*a.
a*(a + 1)*(a + 3)/6
Let p(d) be the first derivative of d**5 + 5*d**4 - 20*d**3 - 34. Factor p(m).
5*m**2*(m - 2)*(m + 6)
Let l(s) be the second derivative of 3*s**5/20 - 3*s**4/2 - 15*s**3/2 - 12*s**2 + 2*s + 60. Find f, given that l(f) = 0.
-1, 8
Let l(g) be the first derivative of 1/420*g**5 + 0*g**3 + 2 + 0*g - 1/2*g**2 + 1/56*g**4. Let m(v) be the second derivative of l(v). Let m(w) = 0. Calculate w.
-3, 0
Let g = 2 - 0. Factor g*m**2 + 5*m - 9*m - m**3 - 6*m**2.
-m*(m + 2)**2
Let f be (-4 - -4)*-2*3/6. Let v(i) be the second derivative of f - 1/18*i**4 + 8*i 