+ 0*i**4 - 4/7*i**3.
2*i*(i - 1)**2*(i + 1)**2/7
Let o(m) = 388*m + 1167. Let h be o(-3). Factor 2/7 - 1/7*v**h + 0*v**2 + 3/7*v.
-(v - 2)*(v + 1)**2/7
Let f(t) = t + 6. Let r be f(-6). Suppose r = -5*w + 15 + 5. Suppose -3*x**3 + x**3 - 4*x**w + 2*x**4 = 0. Calculate x.
-1, 0
Factor 37*t - 4*t**2 - 3*t**3 - 16*t - 13*t**2 - t**2 + 38 - 38*t**2.
-(t - 1)*(t + 19)*(3*t + 2)
Let m(j) = -4*j - 12. Let x be m(-2). Let s be 3 + (12/(-8) - 2/x). Solve 0 + 1/2*g**3 + 0*g**s - 1/2*g = 0 for g.
-1, 0, 1
Suppose 0 = -468*v + 470*v - 4. Factor 8/11*r**v + 2/11*r + 0.
2*r*(4*r + 1)/11
Let b(n) be the first derivative of n**6/18 + n**5/15 - n**4/4 - n**3/9 + n**2/3 + 169. Solve b(h) = 0.
-2, -1, 0, 1
Let z(m) be the third derivative of m**7/735 + m**6/420 - m**5/105 - 41*m**2. Factor z(t).
2*t**2*(t - 1)*(t + 2)/7
Let z be 9 + 42/9 + -11. Determine v, given that 4*v**2 + 8/3*v**3 - 4*v**4 + 0 - z*v = 0.
-1, 0, 2/3, 1
Suppose -5*d + 9*d + 68 = 5*p, 0 = 5*p - 2*d - 64. Let i(y) be the second derivative of 1/4*y**4 + 3/2*y**2 + y**3 + 0 + p*y. Solve i(v) = 0 for v.
-1
Let c(r) = -r**4 - 1. Let b(p) = -216*p**5 - 529*p**4 + 1494*p**3 + 827*p**2 + 142*p + 19. Let n(z) = 4*b(z) + 44*c(z). Determine q, given that n(q) = 0.
-4, -1/6, 2
Let u be (1 - -3) + (4 - -1). Let l be 12/5 - u/(-15). Suppose 3*v**3 - 5 + 0*v - 3*v - 1 + 0*v**l + 6*v**2 = 0. Calculate v.
-2, -1, 1
Suppose -7*m - 2 = -8*m. Let c(u) be the first derivative of -2 + 0*u + 3*u**3 + 3/2*u**m + 3/5*u**5 + 9/4*u**4. Factor c(t).
3*t*(t + 1)**3
Factor 11/4*i + 1/4*i**3 - 9/4*i**2 + 1/4*i**4 - 1.
(i - 1)**3*(i + 4)/4
Factor -j**4 - 2*j**4 + 6*j**2 - 428*j - 33*j**3 - 117*j**2 + 293*j - 54.
-3*(j + 1)**2*(j + 3)*(j + 6)
Let k(j) be the third derivative of -j**8/2352 + 2*j**7/735 + 9*j**6/280 + 19*j**5/210 + 2*j**4/21 + 94*j**2 - 2. Determine f so that k(f) = 0.
-2, -1, 0, 8
Let s(g) be the second derivative of g**5/40 + 11*g**4/24 + 8*g**3/3 + 7*g**2 - 233*g - 2. What is m in s(m) = 0?
-7, -2
Let y(z) = -2*z - 10. Let w be y(-7). Let o(r) be the first derivative of 4*r**3 - w*r**4 + 2*r**4 - 4 - 3*r**2 + 7*r**2 + 3*r**4. Factor o(n).
4*n*(n + 1)*(n + 2)
Factor -x - 1/3*x**2 + 88/3.
-(x - 8)*(x + 11)/3
Let u(z) = z**2 - 5. Let j be u(-3). Suppose -j*x + 1 = -11. Solve 10*i**x + 8*i**4 + 4*i**2 - 5*i**5 + 7*i**5 + 0 + 0 = 0.
-2, -1, 0
Let j(k) be the first derivative of k**6/36 + k**5/10 - k**4/24 - 11*k**3/18 - k**2 - 2*k/3 + 25. What is x in j(x) = 0?
-2, -1, 2
Let n(c) be the second derivative of -8*c - 3/8*c**2 + 0*c**5 - 1/40*c**6 + 0 + 0*c**3 + 1/8*c**4. Let n(i) = 0. What is i?
-1, 1
Let o be ((-48)/270)/(372/(-30) + 12). Let 2/9*s**2 - 2/3 + o*s = 0. What is s?
-3, 1
Let v(a) be the third derivative of -1/90*a**6 + 0*a + 1/10*a**5 - 4/9*a**3 + 4*a**2 - 1/105*a**7 + 0*a**4 - 1. Solve v(b) = 0.
-2, -2/3, 1
Factor -972*z + 270*z**2 + 1/2*z**4 - 23328 + 23*z**3.
(z - 8)*(z + 18)**3/2
Let l(i) be the first derivative of -i**4/42 + 26*i**3/63 + 64*i**2/21 + 136*i/21 - 87. Suppose l(x) = 0. Calculate x.
-2, 17
Suppose 16*u - 20*u = -8. Suppose u = -o, 2*o + 2*o - 8 = -4*n. Factor 21*t**3 + 3 + 3 + 34*t**4 - 13*t - 33*t**2 - 8*t - 7*t**n.
3*(t - 1)*(t + 1)**2*(9*t - 2)
Suppose 0 = -30*l + 4*l. Let y(a) be the third derivative of -1/15*a**6 - 1/5*a**5 + 0*a - 8*a**2 + 0 + l*a**3 + 2/35*a**7 + 1/3*a**4. Factor y(g).
4*g*(g - 1)*(g + 1)*(3*g - 2)
Let c(o) be the first derivative of o**6/4 - 41*o**5/10 + 61*o**4/4 - 62*o**3/3 + 10*o**2 + 182. What is i in c(i) = 0?
0, 2/3, 1, 2, 10
Let q(k) be the second derivative of -1/36*k**4 + 11*k + 1/6*k**3 + 2/3*k**2 + 0. Factor q(c).
-(c - 4)*(c + 1)/3
Let q be (1 - (-489)/54) + -10. Let v(n) be the second derivative of 8*n - q*n**4 - 1/9*n**3 - 1/90*n**5 + 0 - 1/9*n**2. Factor v(k).
-2*(k + 1)**3/9
Factor -242*a**2 + 780*a - 1569*a + 783*a.
-2*a*(121*a + 3)
Let d(h) = -3 + 4*h - 3*h + 3*h - 3*h. Let f be d(7). Factor 6*y**3 + 3*y**2 - 4*y**f - 5*y**2 - 2*y**2 + 2*y**3.
-4*y**2*(y - 1)**2
Suppose -2*v = 2*j - 401 + 399, -3*v + 3 = 4*j. Factor 0*c - 3/5*c**3 - 3/5*c**2 + j.
-3*c**2*(c + 1)/5
Let o be (-2)/3*126/(-2037). Let x = o - -1249/291. Find w, given that -2/3 - 5*w - x*w**2 = 0.
-1, -2/13
Let c(f) = -385*f**2 - 319*f + 197. Let u(b) = 193*b**2 + 160*b - 98. Let r(n) = -2*c(n) - 5*u(n). Factor r(s).
-3*(5*s - 2)*(13*s + 16)
Let m = 48 - 44. Suppose -m*d + d = -x - 6, 9 = x + 2*d. Solve k**2 - 1/2*k + 1/2*k**x - 1 = 0 for k.
-2, -1, 1
Let r be 3 - (-3)/1 - (-1 - -4). Factor 55*l + 57*l + 5*l**2 - 114*l - r*l**4 + 4*l**3.
-l*(l - 2)*(l + 1)*(3*l - 1)
Let x(u) be the first derivative of 4*u**3/3 + 18*u**2 - 40*u - 117. Factor x(m).
4*(m - 1)*(m + 10)
Suppose -52*r**3 + 0 + 80/3*r**5 - 32/3*r**2 + 92/3*r**4 + 16/3*r = 0. What is r?
-2, -2/5, 0, 1/4, 1
Let d(n) be the first derivative of -2/3*n**3 + 0*n**4 - 1/150*n**5 + 0*n**2 + 5 + 0*n + 1/900*n**6. Let j(b) be the third derivative of d(b). Factor j(k).
2*k*(k - 2)/5
Let x = 298 + -294. Let r(o) be the first derivative of -3/8*o**x + o**3 + 6 + 1/20*o**5 + 0*o - o**2. Determine m, given that r(m) = 0.
0, 2
Let -1/6*o**3 + 5/6*o**2 + 1/2 - 7/6*o = 0. Calculate o.
1, 3
Let t(d) be the first derivative of -d**8/336 + 5*d**6/72 - 5*d**4/6 - d**3 - 4. Let o(h) be the third derivative of t(h). Determine i, given that o(i) = 0.
-2, -1, 1, 2
Let x = -13 - -16. Let h(w) be the first derivative of -3 - x*w - 3*w**2 + 5*w**3 + 0 - 5*w**3 - w**3. Solve h(p) = 0 for p.
-1
Let o(t) = -3*t**4 - 24*t**3 + 62*t**2 - 25*t + 5. Let d(g) = -g**4 + 4*g**2 - g + 1. Let v(q) = 10*d(q) - 2*o(q). Factor v(m).
-4*m*(m - 10)*(m - 1)**2
Let k(o) = -14*o**3 + 6*o**2 - o + 2. Let w(c) = -c**3 + c**2 - 1. Let s = -1 - -3. Let g(l) = s*w(l) + k(l). Factor g(z).
-z*(4*z - 1)**2
Let n(y) be the first derivative of -y**3 - 165*y**2 - 812. Let n(c) = 0. Calculate c.
-110, 0
Let p = -813 + 817. Let b(x) be the third derivative of 1/270*x**5 + 3*x**2 + 0*x + 0*x**p + 0 + 0*x**3. Solve b(u) = 0.
0
Let h be (-805)/(-84) - (2/(-8))/(11 - 12). Determine z so that 2/3*z**4 - 22/3*z - 4*z**3 + 2/3*z**5 - 2 - h*z**2 = 0.
-1, 3
Suppose -1596*p = -1566*p. Solve p + 2/9*g**3 + 32*g + 16/3*g**2 = 0.
-12, 0
Let v be 2 - 6/(3 + 0). Let a(u) = u + u - u + v. Let i(j) = 8*j**2 + 4*j. Let z(q) = -2*a(q) + i(q). Factor z(p).
2*p*(4*p + 1)
Let -104/3 + 1168/9*s + 418/3*s**4 - 10*s**5 - 1030/9*s**3 - 298/3*s**2 = 0. What is s?
-1, 3/5, 2/3, 13
Find y such that -1/4*y**2 + 0*y + 0 - 3/4*y**4 - 1/4*y**5 - 3/4*y**3 = 0.
-1, 0
Factor 2*h**4 - 217*h**2 + 107*h**2 + 2*h + 108*h**2 - 2*h**3.
2*h*(h - 1)**2*(h + 1)
Let k be (-279)/(-72) + 1/8. Suppose 3*j + k - 13 = 0. Factor 5*b**2 - 3*b**2 - 2*b**2 - 2*b + 2*b**j.
2*b*(b - 1)*(b + 1)
Let d = 48 + 2. Let g = d + -48. What is x in -14/3*x**3 - 25/3*x**g - 2/3 - 13/3*x = 0?
-1, -1/2, -2/7
Factor 86*f - 18*f**2 + 11 - 21 + 30.
-2*(f - 5)*(9*f + 2)
Let n(r) be the third derivative of -r**5/15 - 35*r**4/3 - 2450*r**3/3 - 10*r**2 - 8. Determine f, given that n(f) = 0.
-35
Suppose 4*x + 104 = -36. Let j = x + 71. Let -j*z**2 - 28*z**5 + z**3 + 19*z**3 - 85*z + 36*z**4 + 93*z = 0. What is z?
-1, 0, 2/7, 1
Let l(z) be the first derivative of 4*z**5/5 + 88*z**4 + 2696*z**3 + 7568*z**2 + 7396*z - 305. Factor l(x).
4*(x + 1)**2*(x + 43)**2
Suppose 0 = -l + 10*l - 144. Suppose l = 19*r - 15*r. Let 9/2*c - 1/2*c**2 - 21/2*c**3 - 1 - 9/2*c**r = 0. Calculate c.
-2, -1, 1/3
Let v = 2476 - 9903/4. Determine h so that -1/4*h**3 + 0 - v*h - 1/2*h**2 = 0.
-1, 0
Find j, given that -25/4*j + 5/4*j**2 - 15/2 = 0.
-1, 6
Let p(r) be the second derivative of 11*r + 0 + r**2 - 1/6*r**4 + 7/20*r**5 - 7/6*r**3. Factor p(a).
(a - 1)*(a + 1)*(7*a - 2)
Let k(b) be the third derivative of b**7/42 - b**6/3 + 7*b**5/4 - 55*b**4/12 + 20*b**3/3 + 380*b**2. Factor k(g).
5*(g - 4)*(g - 2)*(g - 1)**2
Suppose 5*t - 20 = 0, 276 = 4*f + 5*t - t. Let l be ((-26)/f)/(6/(-10)). Factor 0*x**2 + 0 - l*x + 2/3*x**3.
2*x*(x - 1)*(x + 1)/3
Let b be 4/(-3)*(-15 - (19 + -31)). Factor 2/9*q**b - 10/9*q**2 + 8/9 - 2/3*q + 2/3*q**3.
2*(q - 1)**2*(q + 1)*(q + 4)/9
Let m(y) = -15*y**3 - 5*y**2. Let c(o) = -23*o**3 - 8*o**2. Let n(q) = q**2 + 6*q - 19. Let d be n(-9). Let j(u) = d*m(u) - 5*c(u). Factor j(x).
-5*x**3
Factor 0*n + 0 + 7/4*n**2 + 1/4*n**3.
n**2*(n + 7)/4
Let x = 3/103 