2) + -3. Factor -c*w**2 + 2/3*w + 0.
-2*w*(w - 1)/3
Suppose 0 = -4*g + 2*q + 42, 0*g = 2*g - 3*q - 11. Suppose -x - 1 = -4*v + 18, -3*x - g = -v. Factor -2/3*h**4 + 8/3*h**3 - v*h**2 + 8/3*h - 2/3.
-2*(h - 1)**4/3
Let f = 17 + -10. Suppose f*t = 4*t + 18. Let -2*x**4 + 2*x**4 + 0*x - 2*x - t*x**3 - 2*x**4 - 6*x**2 = 0. What is x?
-1, 0
Let c(t) be the third derivative of -t**2 + 0*t**4 + 0 - 1/300*t**5 + 1/30*t**3 + 0*t. Determine x so that c(x) = 0.
-1, 1
Determine q, given that -21/4*q**3 - 9/4*q**4 + 3/4*q**5 + 9/2*q - 6 + 33/4*q**2 = 0.
-2, -1, 1, 4
Let t be (-6)/(-2) - 5/25*15. Solve t - 6/5*p**3 + 2/5*p**5 - 4/5*p**2 + 0*p + 0*p**4 = 0.
-1, 0, 2
Let f be ((-28)/24 + 1)*12/(-9). Let k(h) be the first derivative of 2/27*h**3 + 0*h**2 - f*h - 1. Factor k(j).
2*(j - 1)*(j + 1)/9
Factor 15*l - 45/2*l**2 - 5/2.
-5*(3*l - 1)**2/2
Let i(o) = -3*o - 9. Let t be ((-40)/15)/((-4)/(-6)). Let w be i(t). What is v in -2/3 + 2/3*v**2 - 2/3*v**w + 2/3*v = 0?
-1, 1
Let j(m) be the third derivative of m**9/15120 + m**8/2240 + m**7/840 + m**6/720 - m**4/8 + m**2. Let z(h) be the second derivative of j(h). Factor z(x).
x*(x + 1)**3
Let g(o) = -o**3 - 6*o**2 + 5*o + 6. Let u(j) = -7*j**3 - 47*j**2 + 40*j + 48. Let l(c) = 51*g(c) - 6*u(c). What is z in l(z) = 0?
-3, -2/3, 1
Let d(v) be the second derivative of v**6/1980 - v**3 + v. Let x(m) be the second derivative of d(m). Find a such that x(a) = 0.
0
Let g(y) be the second derivative of -y**7/504 + y**6/60 - y**5/30 - y**4/12 - y. Let h(x) be the third derivative of g(x). Factor h(f).
-(f - 2)*(5*f - 2)
Let y(i) = i**5 - 2*i**4 - 4*i**3 + 6*i**2 - 3*i - 1. Let w(q) = q**4 + q**3 - q**2 + q + 1. Let b(x) = 3*w(x) + 3*y(x). Factor b(s).
3*s*(s - 1)**3*(s + 2)
Suppose -6*z = 36 + 24. Let p = 14 + z. Factor 0*w - 9/5*w**3 - 16/5*w**5 + 0 + 1/5*w**2 + 24/5*w**p.
-w**2*(w - 1)*(4*w - 1)**2/5
Suppose 0*j + 3*t = j + 7, 0 = 2*j + 2*t - 10. Suppose -2/3*d + 4/3*d**j + 0 + 2*d**3 = 0. What is d?
-1, 0, 1/3
Let y = 41/14 - 1187/42. Let z = -25 - y. Factor 0 - z*m**2 - 1/3*m.
-m*(m + 1)/3
Let b = -81 + 81. Let p(u) be the third derivative of -1/10*u**6 + 3*u**2 + 0*u + 0 + b*u**4 - 1/4*u**3 + 3/20*u**5 + 3/140*u**7. Let p(c) = 0. Calculate c.
-1/3, 1
Let s(w) be the first derivative of 1/5*w**5 - 1/4*w**4 + 0*w + 2 - 1/3*w**3 + 1/2*w**2. Factor s(i).
i*(i - 1)**2*(i + 1)
Let h be (-48)/(-10) - 4/(-20). Factor -57*n**3 + 8*n**h - 12 - 48*n - 9*n**5 - 2*n**5 - 21*n**4 - 75*n**2.
-3*(n + 1)**3*(n + 2)**2
Let v(j) = -j**3 + 6*j**2 + 6*j + 9. Suppose -4*l = 12, 4*l = 3*k + 3*l - 24. Let c be v(k). Let 0 - 2/9*p**3 - 2/9*p**c + 0*p = 0. What is p?
-1, 0
Suppose -3*l = -5*b - 15, 2*l + 5 = -5*b + 3*l. Suppose 0 = -v + 5*c, b = 4*v - 6*c + c. Find n, given that 2/3*n**2 + 2/3*n**5 + 2*n**4 + 0 + 2*n**3 + v*n = 0.
-1, 0
Let n(s) be the first derivative of 1/16*s**4 + 0*s + 3 - 1/12*s**3 + 0*s**2. Factor n(l).
l**2*(l - 1)/4
Let q(n) = n**2 + 2*n - 1. Let k be q(1). Factor 0*m**3 - k*m**3 + 12*m + 4 - 4*m**2 - 10*m.
-2*(m - 1)*(m + 1)*(m + 2)
Let o be (5 + -4 + 1)*-8. Let u be (o/12)/((-10)/12). Let 10*i**2 + 8*i + u = 0. What is i?
-2/5
Suppose 69 = 5*d - 1. Suppose 16 - 3*p**2 + 3*p**3 + 15*p**2 - p**3 + d*p + 10*p = 0. What is p?
-2
Let v(p) be the third derivative of -p**8/588 - 2*p**7/245 - p**6/105 + 2*p**5/105 + p**4/14 + 2*p**3/21 + 5*p**2. Find q such that v(q) = 0.
-1, 1
Let u(t) be the first derivative of -1/30*t**4 - 1 + 0*t**2 + 0*t**3 - 2*t + 1/25*t**5. Let h(o) be the first derivative of u(o). Determine d so that h(d) = 0.
0, 1/2
Let o(t) be the third derivative of -t**6/120 + t**5/20 - t**4/12 + 2*t**2. Factor o(a).
-a*(a - 2)*(a - 1)
Suppose 3*u - 6 = 6, 0 = -w + 4*u - 13. Suppose -w*r - 4*o = 2*r - 18, o = 2. Let -r + 2*n**4 - n - 3*n + 2*n**3 + 2*n**3 = 0. Calculate n.
-1, 1
Let s(h) be the first derivative of h**6/14 - 6*h**5/35 + 3*h**4/28 - 3. Factor s(q).
3*q**3*(q - 1)**2/7
Let -2/5*z**3 + 2/5*z - 2/5*z**4 + 0 + 2/5*z**2 = 0. What is z?
-1, 0, 1
Let o(c) be the third derivative of -c**6/60 + c**5/30 - 12*c**2. Factor o(g).
-2*g**2*(g - 1)
Let r(v) be the third derivative of 9/2*v**3 + 3/4*v**4 + 0*v + 1/20*v**5 + 0 - 3*v**2. Factor r(d).
3*(d + 3)**2
Let z(k) be the third derivative of k**7/70 - 19*k**6/280 + 3*k**5/28 - k**4/56 - k**3/7 + 21*k**2. Solve z(f) = 0 for f.
-2/7, 1
Suppose -2*j - 5 = 5*g, 0 = 4*j - 3*g - 3. Let l(h) be the first derivative of 1 + 0*h + j*h**2 + 1/9*h**3. Determine f so that l(f) = 0.
0
Suppose 0 = 2*h - 40 - 28. Factor -9*g - 7 - 9*g + 3*g**2 + h.
3*(g - 3)**2
Let t = 3242/15 + -1524/5. Let m = -88 - t. Find l such that 2*l**4 - m + 2/3*l**5 - 2*l - 4/3*l**2 + 4/3*l**3 = 0.
-1, 1
Solve 4*m + 0 + 25/2*m**4 - 2*m**2 - 27*m**3 + 25/2*m**5 = 0.
-2, -2/5, 0, 2/5, 1
Let g(i) = -i**2 - 4*i. Let d(b) = 3*b - 5*b + 2*b + 3*b - 1. Let u(s) = -3*d(s) - 4*g(s). Solve u(r) = 0.
-1, -3/4
Let p(h) be the first derivative of 2*h**3/27 - 4*h**2 + 72*h - 46. What is u in p(u) = 0?
18
Let j(s) = s**3 - 8*s**2 + 3. Let z be j(8). Factor 18*o + 2*o**z + o**2 - 10*o**2 + 2*o**2 - 8 - 5*o**2.
2*(o - 4)*(o - 1)**2
Let w(x) be the second derivative of -1/75*x**6 + 0 + 6/25*x**5 + 36/5*x**3 - 81/5*x**2 - x - 9/5*x**4. Find j such that w(j) = 0.
3
Let w be (-42)/(-4) + 5/(-10). Suppose w*n = 6*n. Factor n*y**4 + 0*y + 1/2*y**5 + 0*y**2 - 1/2*y**3 + 0.
y**3*(y - 1)*(y + 1)/2
Solve -148*l**2 + 52*l**2 - 28*l**4 - 344*l**3 + 0*l**4 = 0 for l.
-12, -2/7, 0
Let i(b) = 3*b**2 - 5*b. Let w be i(4). Let a = -18 + w. Factor 14*t**2 + 5*t - t + a*t**4 + 4*t**2 + 24*t**3.
2*t*(t + 1)**2*(5*t + 2)
Let c(m) be the second derivative of -2*m**7/63 + 2*m**6/45 + 2*m**5/15 - 2*m**4/9 - 2*m**3/9 + 2*m**2/3 - 20*m. Factor c(n).
-4*(n - 1)**3*(n + 1)**2/3
Let u be 6 + 7/((-42)/36). Factor -3/7*h**5 - 3/7*h + 6/7*h**3 + 0*h**2 + 0*h**4 + u.
-3*h*(h - 1)**2*(h + 1)**2/7
Let g(n) be the second derivative of 0 - n + 0*n**2 - 1/20*n**5 + 1/12*n**4 + 0*n**3. Determine u, given that g(u) = 0.
0, 1
Let g be (-21)/(-3)*(-18)/(-63). Let v(x) = x**2 - 6*x + 5. Let b be v(5). Suppose -1/3*k + b + 1/3*k**g = 0. What is k?
0, 1
Let l(d) be the third derivative of d**8/560 - d**6/200 - 7*d**2. Let l(p) = 0. Calculate p.
-1, 0, 1
Determine b, given that 7/3*b**4 + 4/3*b - 4*b**2 + 0 - 3*b**3 = 0.
-1, 0, 2/7, 2
Let m(c) be the first derivative of -c**7/980 - 13*c**6/1260 - 4*c**5/105 - c**4/21 + 4*c**3/3 - 1. Let u(r) be the third derivative of m(r). Factor u(x).
-2*(x + 2)**2*(3*x + 1)/7
Let q be -4 - (1/(-2))/(4/64). Let m(o) be the first derivative of 2/21*o**3 + 1/7*o**2 - 4/7*o + q. Solve m(u) = 0 for u.
-2, 1
Let x be 1/((-3)/6) + 2. Factor 1/4*s**2 + 0 + x*s.
s**2/4
Let f be ((-792)/330)/(4/(-5)). Solve 0*j**f - 2/5*j**4 + 0 + 0*j + 2/5*j**2 = 0 for j.
-1, 0, 1
Let c be ((-372)/165)/(42/15). Let k = c + 12/11. Factor -8/7*d - 2/7*d**4 - k - 8/7*d**3 - 12/7*d**2.
-2*(d + 1)**4/7
Factor 3*u**2 - 2*u**3 - 12*u - 5*u**2 + 16*u.
-2*u*(u - 1)*(u + 2)
Let q(m) be the first derivative of -m**6/36 - m**5/15 + 11*m**4/24 + 2*m**3/3 - 3*m**2 - 27. Factor q(a).
-a*(a - 2)**2*(a + 3)**2/6
Let u(l) be the third derivative of l**5/15 + 4*l**4/3 + 14*l**3/3 + 51*l**2. Determine d so that u(d) = 0.
-7, -1
Let g be 0*(-4 + (-54)/(-12)). Determine p so that 6/5*p**3 + 2/5*p + g - 8/5*p**2 = 0.
0, 1/3, 1
Let u be (-12)/(-42) - (-6)/(-21). Let b be u/5 + 2/9. Factor -b*x - 2/9*x**2 + 0.
-2*x*(x + 1)/9
Let c(w) be the third derivative of w**7/420 + w**6/240 - w**5/40 - w**4/48 + w**3/6 - w**2. Determine q, given that c(q) = 0.
-2, -1, 1
Suppose m = 2*m. Determine s, given that 2*s + 4*s**4 - 3*s**5 - 4*s**2 + m*s**4 + s**5 = 0.
-1, 0, 1
Let z(l) be the third derivative of 0*l**3 + 1/24*l**4 + 1/60*l**6 - 9*l**2 + 1/24*l**5 + 0 + 0*l + 1/420*l**7. Factor z(y).
y*(y + 1)**2*(y + 2)/2
Suppose 6*p**3 - 8*p**3 - 7*p**4 + 3*p + 0*p**3 + 7*p**2 - p = 0. Calculate p.
-1, -2/7, 0, 1
Suppose 7*p + 3*p**2 - 2*p**2 - 4*p - 9*p + 5 = 0. Calculate p.
1, 5
Suppose 5*n - t - 523 = 0, 4*t - 2 = -14. Solve 0*z**3 - 9*z**4 + 11*z**3 + z**3 - n*z**2 - 112*z - 32 + 45*z**4 = 0.
-1, -2/3, 2
Let z = -2046 + 308947/151. Let j = 1503/1057 + z. Suppose 0 - j*s**2 - 6/7*s**3 - 4/7*s = 0. What is s?
-1, -2/3, 0
Let x be ((-5)/(-15))/((-2)/(-18)). Let 12*q**2 + x*q**2 + 12*q +