0. Calculate t.
-1/2, 1/2
Suppose 4*j - 30 = -2*s, -57*s = 3*j - 52*s - 40. Let g(c) = 3*c**2. Let v be g(-1). Suppose 0 + 0*f - 2/3*f**2 + 2/3*f**4 + 2/3*f**v - 2/3*f**j = 0. What is f?
-1, 0, 1
Let z(m) be the first derivative of 3*m**5/40 + 5*m**4/16 + m**3/2 + 3*m**2/8 + m/8 - 8. Solve z(v) = 0.
-1, -1/3
Let n = 3 - 0. Determine w, given that -2*w**3 + 4*w**n - 24*w**4 + 22*w**4 = 0.
0, 1
Let t(z) = -2*z**4 + 6*z**3 - 4*z - 4. Let s(l) = -l**4 + l**3 - l - 1. Suppose -4*d = -2*b + 2, 2*d - 3*d + 5 = 5*b. Let g(c) = b*t(c) - 4*s(c). Factor g(m).
2*m**3*(m + 1)
Let q = 19 - 30. Let m = 11 + q. Factor -1/3*z**3 + m*z**2 + 1/3*z + 0.
-z*(z - 1)*(z + 1)/3
Let u(x) = -2*x**2 - 4*x. Let d(p) be the third derivative of p**5/60 + p**4/24 + 4*p**2. Let f(y) = -4*d(y) - u(y). What is n in f(n) = 0?
0
Let t(b) be the second derivative of -b**6/30 - b**5/8 - b**4/8 + b**3/12 + b**2/4 - 2*b. Factor t(q).
-(q + 1)**3*(2*q - 1)/2
Let x(m) be the second derivative of m**6/420 + m**5/210 - m**4/84 - m**3/21 + m**2/2 + 2*m. Let o(s) be the first derivative of x(s). Factor o(y).
2*(y - 1)*(y + 1)**2/7
Let -2/7*t**2 - 2/7*t**5 + 0*t + 0 + 2/7*t**4 + 2/7*t**3 = 0. What is t?
-1, 0, 1
Suppose 2/7*l**3 + 0 + 0*l - 2/7*l**2 = 0. Calculate l.
0, 1
Let o(w) be the second derivative of -5*w**4/12 - 10*w**3 - 90*w**2 + 31*w. Suppose o(q) = 0. What is q?
-6
Let x be ((570/36)/(-19))/(-5 + 0). Let s(i) be the second derivative of x*i**4 - 2/3*i**3 + 0*i**2 + 4*i + 0. Find y, given that s(y) = 0.
0, 2
Suppose -5*m + 5*x = -15, m - 2*m = 2*x. Find w such that 18/7*w - 2*w**m - 4/7 = 0.
2/7, 1
Let p(n) = -3*n + 0*n**3 + 4*n**2 + n + n**3 - 7*n. Let j(b) = -3*b**3 - 7*b**2 + 18*b. Let x(k) = -6*j(k) - 15*p(k). Factor x(a).
3*a*(a - 3)**2
Let w(a) be the third derivative of -a**6/30 + 2*a**5/15 + 7*a**4/6 + 8*a**3/3 + 15*a**2. Find t, given that w(t) = 0.
-1, 4
Let a = 12 + -47/4. Factor -a + 1/4*v + 1/2*v**2 + 1/4*v**5 - 1/4*v**4 - 1/2*v**3.
(v - 1)**3*(v + 1)**2/4
Let h(v) = 4*v - 1. Let k be h(1). Factor -4 - c**4 - c**k + 4.
-c**3*(c + 1)
Let t be 28/4*(0 - -1). Let y(u) be the third derivative of 1/105*u**t + 0*u**3 + 2*u**2 + 0*u**4 + 0*u**6 + 0 + 0*u + 0*u**5. Solve y(f) = 0 for f.
0
Let w(a) be the second derivative of -a**2 - 2/3*a**3 + 1/2*a**4 + 2*a + 0. Factor w(h).
2*(h - 1)*(3*h + 1)
Let c(w) = -3*w + 20. Let q be c(6). Factor 0 - 2/3*h - 2/3*h**q.
-2*h*(h + 1)/3
Factor -1/2*b + 0 + 1/4*b**2.
b*(b - 2)/4
Let u = -239 - -241. Factor -6/5*m**u + 4/5*m**3 - 8/5*m + 8/5 + 2/5*m**4.
2*(m - 1)**2*(m + 2)**2/5
Let n(q) be the first derivative of -1/30*q**4 + 2*q + 0*q**2 - 1/15*q**3 + 3. Let f(z) be the first derivative of n(z). Factor f(o).
-2*o*(o + 1)/5
Let q be (-4)/(4/(-5)) + -5. Factor 18/11*a**5 + 14/11*a**3 - 2/11*a**2 - 30/11*a**4 + q*a + 0.
2*a**2*(a - 1)*(3*a - 1)**2/11
Suppose 5*b**4 - 12*b + 32*b - 2*b**3 - 8*b**3 - 15*b**2 + 20 = 0. Calculate b.
-1, 2
Let b(a) be the third derivative of -9/10*a**6 + 0*a**3 + 4*a**2 + 0*a + 0*a**4 - 7/5*a**7 + 2/5*a**5 + 0 + 63/16*a**8. Solve b(h) = 0 for h.
-2/7, 0, 2/9, 2/7
Let i(d) be the first derivative of -3/4*d**4 + 0*d**2 + 3 + 0*d**3 + 0*d + 3/5*d**5. Factor i(f).
3*f**3*(f - 1)
Let f(x) be the second derivative of x**5/90 + 2*x. Solve f(u) = 0.
0
Let y(i) = 11*i**3 - 8*i**2 - 8. Let r = 4 + -3. Suppose r + 4 = z. Let b(s) = -7*s**3 + 5*s**2 + 5. Let j(o) = z*y(o) + 8*b(o). Let j(g) = 0. Calculate g.
0
Let m(n) be the second derivative of n**4/4 + 2*n**3 - 20*n. Factor m(t).
3*t*(t + 4)
Let p(y) be the first derivative of y**7/420 - y**6/140 - y**5/35 + y**4/21 + y**3 - 3. Let a(i) be the third derivative of p(i). Let a(b) = 0. What is b?
-1, 2/7, 2
Let u(k) = -2*k**3 + 5*k**2 - 3*k + 2. Let x be u(2). Solve 3/4*p**2 + 3/4*p**3 + 1/4*p**4 + 1/4*p + x = 0.
-1, 0
Let l(w) be the first derivative of 2*w**3/21 - 8*w/7 + 17. Factor l(b).
2*(b - 2)*(b + 2)/7
Let c(w) be the second derivative of 2*w + 1/5*w**5 + 0 + 0*w**2 - 1/15*w**6 + 0*w**3 + 0*w**4. Factor c(a).
-2*a**3*(a - 2)
Find f, given that 1/7*f**2 - 4/7*f + 0 = 0.
0, 4
Suppose 21*l - 25*l = -48. Factor 1/4*j**5 + 8*j**3 + 9/4*j**4 + 4 + 14*j**2 + l*j.
(j + 1)*(j + 2)**4/4
Let y = -1399/5 + 6331/20. Find w, given that 21*w - 3 - y*w**2 = 0.
2/7
Factor -2*u - 7*u**2 - 6*u**2 + 11*u**2 + 12.
-2*(u - 2)*(u + 3)
Let u(c) be the third derivative of c**8/23520 + c**7/4410 + c**6/2520 - c**4/12 - 3*c**2. Let w(q) be the second derivative of u(q). Find a such that w(a) = 0.
-1, 0
Let w(f) be the second derivative of f**7/840 - f**5/120 - f**3/2 - f. Let t(o) be the second derivative of w(o). Solve t(y) = 0 for y.
-1, 0, 1
Let i(r) be the second derivative of -r**4/6 + 2*r**3/3 + 3*r**2 - 32*r. Factor i(n).
-2*(n - 3)*(n + 1)
Determine p so that -1/3*p + 4/3*p**2 - 4/3 + 1/3*p**3 = 0.
-4, -1, 1
Let y(o) = 4*o**2 - o. Let b be -5 + (-3)/(-2 - -1). Let v(p) = 3*p**2 - p. Let f(l) = b*y(l) + 3*v(l). Let f(w) = 0. What is w?
0, 1
Let d(c) be the first derivative of -2*c**3/15 + 2*c**2/5 - 2*c/5 - 1. What is a in d(a) = 0?
1
Let l(u) be the first derivative of -5*u**4/4 - 5*u**3/3 + 25*u**2 - 40*u + 8. Let l(i) = 0. Calculate i.
-4, 1, 2
Factor 0 + 1/3*f**4 + 0*f**3 + 2/3*f - f**2.
f*(f - 1)**2*(f + 2)/3
Solve 0 + 0*z**2 + 1/5*z**5 - 1/5*z**3 + 0*z**4 + 0*z = 0.
-1, 0, 1
Let q(n) be the third derivative of -n**5/210 - n**4/84 - 15*n**2. Let q(m) = 0. What is m?
-1, 0
Let y(o) be the first derivative of -2*o**3/9 - 2*o**2/3 + 4. Factor y(s).
-2*s*(s + 2)/3
Let l(r) be the first derivative of r**4/12 + r**3/3 - 2*r - 5. Let b(u) be the first derivative of l(u). Suppose b(w) = 0. What is w?
-2, 0
Suppose -4/3*u**3 + 2/3*u**4 + 2/3*u**5 + 0*u + 0 + 0*u**2 = 0. What is u?
-2, 0, 1
Let k = 0 + -4. Let q be -1*(-2)/k*0. What is l in 0*l - 1/2*l**2 + q = 0?
0
Suppose n = -0 + 2. Factor -q**n - q**3 + 4*q + 3*q - q - 5*q + 1.
-(q - 1)*(q + 1)**2
Suppose -5*j = -3*h + 4 + 1, -h + 7 = j. Find m such that -6/7*m**3 + 0*m + 0 + 24/7*m**4 - 2*m**5 - 4/7*m**j = 0.
-2/7, 0, 1
Factor 1/4*g + 1/2*g**4 - 1/4*g**5 - 1/2*g**2 + 0 + 0*g**3.
-g*(g - 1)**3*(g + 1)/4
Let y(b) be the first derivative of -2*b**3/9 - b**2 + 4. Determine k, given that y(k) = 0.
-3, 0
Let b = -834 + 2504/3. Factor -b*d**2 + 16/3*d - 32/3.
-2*(d - 4)**2/3
Let d = -13 + 15. Suppose -16*o**d + 4 - 8*o + 2*o**5 - 36*o**4 + 14*o - 44*o**3 - 12*o**5 = 0. Calculate o.
-1, 2/5
Let d(k) = -k - 2. Let i be d(-2). Factor 2/9*q**4 + i*q + 2/9*q**3 + 0*q**2 + 0.
2*q**3*(q + 1)/9
Let k(d) be the third derivative of 0 + 0*d - 1/16*d**5 + 0*d**3 - 4*d**2 + 1/40*d**6 - 1/280*d**7 + 1/16*d**4. What is a in k(a) = 0?
0, 1, 2
Factor -2*t**2 + 1/2*t**5 - 3/2*t**3 + 0 + 2*t + t**4.
t*(t - 1)**2*(t + 2)**2/2
Let f(p) be the first derivative of 2*p**3/33 + 3*p**2/11 - 4. Factor f(b).
2*b*(b + 3)/11
Let m = 40/51 + -2/17. Factor m - 1/3*z**2 + 1/3*z.
-(z - 2)*(z + 1)/3
Let a be 10/8*-1*(-2)/10. Factor -1/2*m**2 + a*m**3 + 1/4*m + 0.
m*(m - 1)**2/4
Let a = -55/3 - -19. Factor 0 - a*p - 8/3*p**3 - 10/3*p**2.
-2*p*(p + 1)*(4*p + 1)/3
Let g be (-3)/(-4)*12/108. Let l(z) be the second derivative of 0*z**2 - 1/12*z**4 - 3/40*z**5 + 0 + g*z**3 + z. Factor l(h).
-h*(h + 1)*(3*h - 1)/2
Suppose -z + 4 = 6*w - 9*w, -8*z + 32 = -4*w. Find i such that -1/2*i**2 - 3/2*i**3 + 2*i**4 + w + 0*i = 0.
-1/4, 0, 1
Let b(s) be the second derivative of s**5/20 + 17*s**4/4 + 289*s**3/2 + 4913*s**2/2 + 32*s. Find r, given that b(r) = 0.
-17
Let v = -87/40 + 27/8. Suppose 0 + 4/5*n + v*n**2 = 0. What is n?
-2/3, 0
Let t(n) be the second derivative of -n**4/8 - n**3/4 - 3*n**2/16 + 2*n. Factor t(a).
-3*(2*a + 1)**2/8
Let s = 14 - 9. Factor -2/9*i + 0 + 8/9*i**4 + 8/9*i**2 - 2/9*i**s - 4/3*i**3.
-2*i*(i - 1)**4/9
Let d(a) be the first derivative of -20*a**3/3 + 15*a**2/2 + 3*a + 4. Let i(u) = -40*u**2 + 29*u + 5. Let b(j) = 5*d(j) - 3*i(j). What is q in b(q) = 0?
0, 3/5
Let d = -480 - -482. Factor 2/5*b**3 - 2/5*b + 2/5*b**4 + 0 - 2/5*b**d.
2*b*(b - 1)*(b + 1)**2/5
Let p be (-3 - -4)*5 - (-12)/(-4). Let -2*q + 0 + 2/3*q**p = 0. Calculate q.
0, 3
Let g(d) = d**3 - 6*d**2 - 6*d + 1. Let p be g(7). Determine z, given that -4*z**2 + 2 + p*z - 6 + 2*z**2 - 2*z = 0.
1, 2
Let m = 50 - 44. Let u(a) be the third derivative of -a**2 + 1/60*a**5 + 0*a - 1/96*a**4 + 0 + 0*a**3 