 = u**2 + 4*u - 17. Let m be w(7). Let x = m + -60. Solve x*o**3 - 1/2*o**2 - 1/4*o + 0 + 1/2*o**4 + 1/4*o**5 = 0.
-1, 0, 1
Let o(m) = -5*m**2 + 2*m - 1. Let j(q) = 2*q**2 - 686*q - 38987. Let x(f) = -j(f) - o(f). Suppose x(b) = 0. What is b?
-114
Let q = 2997/4 + -749. Let v(y) be the third derivative of 0 + 0*y + q*y**3 - 1/24*y**4 - 1/30*y**5 - 3*y**2 + 1/420*y**7 + 1/120*y**6. Factor v(t).
(t - 1)**2*(t + 1)*(t + 3)/2
Factor 440/3*o - 2/3*o**4 - 200/3 - 94*o**2 + 44/3*o**3.
-2*(o - 10)**2*(o - 1)**2/3
Let w be (-1)/(2/(18/3)). Let v be 1 - 5/((-25)/w). Let 2/5*s**3 + 0 - 4/5*s - v*s**2 = 0. What is s?
-1, 0, 2
Let y(u) be the third derivative of -u**7/490 - 19*u**6/840 - u**5/105 + u**4/14 + 13*u**2 - 6. Factor y(r).
-r*(r + 1)*(r + 6)*(3*r - 2)/7
Let k(f) = 10*f**2 + 6*f - 1. Let y(h) = -h**2 + h. Let g = -7 + 6. Let o(d) = g*y(d) + k(d). Let m(j) = -6*j**2 - 3*j. Let t(q) = 5*m(q) + 3*o(q). Factor t(b).
3*(b - 1)*(b + 1)
Let f be 2 - (3/2 - 3381/126 - 2). Factor 3*s**4 + f*s**2 + 16/3 + 16*s**3 + 64/3*s.
(s + 2)**2*(3*s + 2)**2/3
Let v(r) = 4*r**4 + r**3 - 13*r**2 + 5*r - 5. Let b(s) = 3*s**4 - 11*s**2 + 4*s - 4. Let t(o) = 5*b(o) - 4*v(o). Determine m, given that t(m) = 0.
-3, -1, 0
Let m(w) be the third derivative of -2*w**7/105 + 17*w**5/15 - 6*w**4 + 40*w**3/3 - 8*w**2 + 2*w. Factor m(d).
-4*(d - 2)**2*(d - 1)*(d + 5)
Suppose -99 + 1 - 46 + 48*z - 5*z**2 + z**2 = 0. Calculate z.
6
Determine f, given that 19*f**3 + 175*f + 106*f**3 + 250*f**2 + 364 - 334 + 20*f**4 = 0.
-3, -2, -1, -1/4
Suppose 0 = 9*f - 4*f. Let b(c) be the second derivative of -6*c - 1/15*c**3 + 1/30*c**4 + 0*c**2 + f. Factor b(g).
2*g*(g - 1)/5
Let h be (-17)/(714/36)*(336/9)/(-16). Factor 4/3*u**h - 16/3*u + 4.
4*(u - 3)*(u - 1)/3
Let l(m) be the second derivative of -m**5/120 - m**4/12 + 5*m**3/12 + 8*m**2 - 19*m. Let v(j) be the first derivative of l(j). Suppose v(a) = 0. Calculate a.
-5, 1
Let x be (18/(-279))/(24/(-186)). Factor 1/2*k**4 + 1/2*k - x*k**3 + 0 - 1/2*k**2.
k*(k - 1)**2*(k + 1)/2
Let l(t) = t**4 - t**3 - 2*t**2 - 2*t - 1. Let b(o) = 12*o**4 + 56*o**3 + 70*o**2 + 29*o + 2. Let j(h) = -3*b(h) + 12*l(h). Factor j(f).
-3*(f + 6)*(2*f + 1)**3
Let m(w) be the first derivative of -3*w**4/28 - 15*w**3/7 - 81*w**2/14 - 39*w/7 + 710. What is v in m(v) = 0?
-13, -1
Suppose 3*m + w = -26, 0*m + 22 = -4*m + 5*w. Let r = m - -10. Solve -3*y - 4*y**r + 4*y - y + 8 - 4*y = 0 for y.
-2, 1
Let a = -16 - -19. Suppose 9 = 3*z + a. Factor i - 4*i**4 + 4*i**4 + i**4 - i**z - i**3.
i*(i - 1)**2*(i + 1)
Solve 9/2*w**2 + 9 - 9/2*w**3 - 3/2*w**4 + 33/2*w = 0 for w.
-3, -1, 2
Let t(g) be the third derivative of -g**5/12 - 25*g**4/12 + 55*g**3/6 + 424*g**2. Factor t(w).
-5*(w - 1)*(w + 11)
Let g(m) be the second derivative of -m**7/42 - 17*m**6/15 - 106*m**5/5 - 580*m**4/3 - 2600*m**3/3 - 2000*m**2 + 4*m - 2. What is s in g(s) = 0?
-10, -2
Factor 48*u**2 - 139*u**2 - 28*u + 51*u**2 - 72 + 44*u**2.
4*(u - 9)*(u + 2)
Factor -8/11*o - 24/11 + 2/11*o**2.
2*(o - 6)*(o + 2)/11
Let q = 41 + -7. Solve 0 - 6*u + 21*u**3 - q*u**3 + 15*u**3 - 4 = 0 for u.
-1, 2
What is m in -5/4*m**2 + m**3 - 1/4*m**4 + 1/2*m + 0 = 0?
0, 1, 2
Let c = 28 + -21. Determine t so that 3*t**2 - 14*t**4 + 10*t**3 - c*t**2 + 2*t**5 + 6*t**4 = 0.
0, 1, 2
Let o(q) = -49*q**3 - 1099*q**2 + 749*q - 125. Let s(d) = d**3 + d**2 - d. Let f(r) = o(r) + 4*s(r). Factor f(b).
-5*(b + 25)*(3*b - 1)**2
Let b(l) be the first derivative of 2*l**6/3 - 32*l**5/5 - 59*l**4 - 328*l**3/3 + 88*l**2 + 416*l + 567. Factor b(j).
4*(j - 13)*(j - 1)*(j + 2)**3
Let y(p) be the first derivative of 5/21*p**4 - 7 + 2/7*p**3 + 0*p**2 - 2/35*p**5 - 9*p. Let a(s) be the first derivative of y(s). Factor a(x).
-4*x*(x - 3)*(2*x + 1)/7
Let u(h) be the first derivative of h**5/25 + 3*h**4/20 - 2*h**2/5 + 93. Let u(q) = 0. What is q?
-2, 0, 1
Let h be (-126)/(-54) - 10/(-6). Let v(w) be the third derivative of 1/8*w**h + 4*w**2 + 0*w + 0 + 0*w**3 + 3/20*w**5 + 1/20*w**6. Factor v(g).
3*g*(g + 1)*(2*g + 1)
Let u(q) = q**2 + 1. Let a(n) be the second derivative of -n**4/3 - 4*n**2 + 12*n. Let c(h) = 2*a(h) + 12*u(h). Factor c(i).
4*(i - 1)*(i + 1)
Let c(w) = 66*w**2 + 159*w + 12. Let p(y) = -3*y**2 - 2*y + 1. Let t(i) = -c(i) - 18*p(i). Determine q, given that t(q) = 0.
-10, -1/4
Let p(f) = 8*f**2 - 3*f. Suppose 2*q = -2*r + 10, -r + q + 3*q = -5. Let v(k) = -4*k**2 + 2*k. Let a(u) = r*v(u) + 2*p(u). Suppose a(g) = 0. Calculate g.
0, 1
Let t(g) = g**2 + 1. Let h(i) = 3*i**2 + 3*i + 4. Suppose 5*y - 6*q + q = -45, -q - 11 = y. Let w(n) = y*t(n) + 5*h(n). Factor w(s).
5*(s + 1)*(s + 2)
Let l(n) be the first derivative of -n**8/112 + n**7/70 + n**6/20 - 15*n**2 + 6. Let z(q) be the second derivative of l(q). Determine y so that z(y) = 0.
-1, 0, 2
Let f(l) be the first derivative of 28*l**3/3 - 24*l**2 - 16*l + 37. Factor f(d).
4*(d - 2)*(7*d + 2)
Let o(q) = -q**2 + 116*q + 3372. Let t be o(140). Find r such that -1/3*r**2 - t + 4*r = 0.
6
Let f = 4501011652/517 - 8706022. Let k = f - -336/47. Factor 8/11 - 16/11*l - k*l**2.
-2*(3*l + 2)*(7*l - 2)/11
Let v(z) be the third derivative of z**6/360 + z**5/90 + z**4/72 + 165*z**2. Determine o, given that v(o) = 0.
-1, 0
Let y(i) be the third derivative of -i**5/160 - 53*i**4/32 + 107*i**3/16 - 899*i**2. Factor y(p).
-3*(p - 1)*(p + 107)/8
Let t be (9 - (-4 - -16)) + (-43)/(-2). What is k in -t*k**4 - 68*k**2 + 5/2*k**5 - 8 + 52*k**3 + 40*k = 0?
2/5, 1, 2
Let d(x) be the second derivative of x**8/1344 - x**7/840 + 11*x**2/2 + 12*x. Let l(p) be the first derivative of d(p). Determine u so that l(u) = 0.
0, 1
Let n(z) be the first derivative of 2 + 154/15*z**5 - 64/3*z**2 + 71/2*z**4 - 49/9*z**6 + 8*z + 22/9*z**3. Let n(i) = 0. Calculate i.
-1, 2/7, 3
Let q(x) = -38*x - 834. Let v be q(-22). What is j in -2*j - 1/2*j**v - 3/2 = 0?
-3, -1
Let c(u) be the third derivative of -u**6/720 - u**5/80 + u**4/12 + u**3/6 + 14*u**2. Let x(l) be the first derivative of c(l). Let x(m) = 0. Calculate m.
-4, 1
Let v(u) be the first derivative of u**6/30 + u**5/25 - 11*u**4/20 - 29*u**3/15 - 13*u**2/5 - 8*u/5 + 112. Factor v(k).
(k - 4)*(k + 1)**3*(k + 2)/5
Suppose 20 = d - 5*k, 5*k - 31 = -5*d + 69. Factor 5 - 2*r**2 - 2*r**3 + d*r - 18*r - 3.
-2*(r - 1)*(r + 1)**2
Find m, given that -90*m**2 - 3000/11*m - 3000/11 - 6/11*m**4 - 12*m**3 = 0.
-10, -5, -2
Let s(a) be the second derivative of a**7/14 - 4*a**6/15 + a**5/20 + 2*a**4/3 - 2*a**3/3 + 47*a. Let s(g) = 0. What is g?
-1, 0, 2/3, 1, 2
Let g be (50/12)/(29/((-232)/(-10))). Let 8/9 + 26/9*n + 2/9*n**4 + g*n**2 + 14/9*n**3 = 0. Calculate n.
-4, -1
Let p be (1*-1)/((-7)/(-35)). Let t(q) = 4*q**2 + q. Let a(n) be the third derivative of -n**5/20 - n**4/24 - 15*n**2. Let r(c) = p*a(c) - 4*t(c). Factor r(x).
-x*(x - 1)
Suppose -3*p + 5*q + 20 = 0, 5*p + 4*q = -17 + 1. Factor 3/5*g**3 + 0 + 1/5*g**4 + 2/5*g**2 + p*g.
g**2*(g + 1)*(g + 2)/5
Let x(b) be the first derivative of b**2/2 - 16*b + 32. Let n be x(19). Solve 0*r**n + 0*r - 1/4*r**4 + 0 + 1/4*r**2 = 0.
-1, 0, 1
Suppose 5*k - 4 = 3*k. Solve 45*r + 2*r**2 + r**k + 0*r**2 - 48*r = 0.
0, 1
Let i(v) = 2*v**2 + 35*v + 32. Let j be i(-18). Let t be j/48 - 21/56. Determine k, given that -2*k**2 - 2/3 - 2*k - t*k**3 = 0.
-1
Suppose 0 = k - 0 - 5. Let h(i) = i**2 + 4. Let q(j) = 2. Let x(b) = k*q(b) - 2*h(b). Factor x(f).
-2*(f - 1)*(f + 1)
Suppose 2*c + 84 = -3*s - 2*s, -2*c = -2*s - 42. Let d(h) = h**3 + 17*h**2 - 16*h + 36. Let x be d(s). Solve 0 - 8/3*i**2 - 4/3*i**3 + x*i = 0 for i.
-2, 0
Determine j, given that -405*j**2 + 351*j**3 - 567*j**2 + 196*j**5 + 972*j - 54*j**4 - 193*j**5 = 0.
0, 3, 6
Suppose -6*z + 2*z + 52 = 0. Suppose 0 = -3*n - 2*f + 18 - 7, f = -4*n + z. Determine r, given that -10*r**n + 3*r + 2 - r + 8*r + 6*r**2 - 8*r**4 = 0.
-1, -1/4, 1
Let l(f) = 7*f**2 + f - 3. Suppose -2*m - m - 12 = 0, m + 20 = 4*w. Let c(x) = -6*x**2 + 2. Let v(y) = w*l(y) + 5*c(y). Factor v(a).
-2*(a - 1)**2
Let f(w) = -w**3 - 9*w**2 - 9*w - 5. Let o be f(-8). Let m be (o/(-9))/(91/(-42)). Factor -6/13*t - 4/13 - m*t**2.
-2*(t + 1)*(t + 2)/13
Let u be 5*(-4)/(-120) + 4/(-24). Let q(w) = -w**3 + 4*w**2 + 2*w + 10. Let s be q(u). Factor -s*y**2 + 3/2*y**3 + 39/2*y - 9.
(y - 3)**2*(3*y - 2)/2
What is k in -55*k**2 - 4*k**3 + 33*k - 14