 0*f + 2/3*f**3 - f**4. What is q in j(q) = 0?
0, 1
Factor 0 - 3/2*q**2 - 3/4*q**3 - 3/4*q.
-3*q*(q + 1)**2/4
Let a(f) = 7*f**2 + 9*f + 7. Let w(g) = 4 + 11*g**2 + 3 + 4 + 20*g - 6*g. Let m(b) = 8*a(b) - 5*w(b). Solve m(s) = 0 for s.
-1
Suppose 0 = 2*h - 6 - 2. Let m = h - 1. Solve -3*d**m - d**3 + 5*d**3 = 0 for d.
0
Let j(s) be the first derivative of s**6/2160 - s**3/3 + 4. Let z(b) be the third derivative of j(b). Factor z(a).
a**2/6
Let q = -20/29 + 118/87. Determine u, given that 4/3*u + 0 - q*u**2 = 0.
0, 2
Suppose 12*f = 13*f - 3. Determine n, given that -3/2*n**f + 0 - 3/2*n - 3*n**2 = 0.
-1, 0
Let a(u) = 15*u**2 - 17*u + 2. Suppose -5 + 0 = -5*s. Let n(p) = -p + 0 - 7*p + s + 7*p**2. Let c(g) = -6*a(g) + 13*n(g). Find q such that c(q) = 0.
1
Factor 4/3*x**2 - 4 + 8/3*x.
4*(x - 1)*(x + 3)/3
Let l = -43 + 48. Let h(n) be the second derivative of 3/5*n**l + 3*n + 0 + 1/21*n**7 + 1/3*n**3 + 2/3*n**4 + 4/15*n**6 + 0*n**2. Factor h(q).
2*q*(q + 1)**4
Let r = 2/297 - -584/1485. Solve 2*x + 2/5*x**4 - 4/5 - r*x**3 - 6/5*x**2 = 0.
-2, 1
Let i be 5/(-2)*(-4)/5. Let z(g) be the third derivative of 0*g**5 + 1/8*g**4 + 0*g**3 - 1/40*g**6 + g**i + 0*g + 0. Factor z(r).
-3*r*(r - 1)*(r + 1)
Let f(b) be the third derivative of -b**2 + 1/420*b**6 + 0 + 0*b - 1/210*b**5 + 1/21*b**3 - 1/84*b**4. Factor f(u).
2*(u - 1)**2*(u + 1)/7
Let j be (1/(-16))/(24/(-32)). Let a(t) be the first derivative of -j*t**3 + 2 + 0*t**2 + 0*t. What is s in a(s) = 0?
0
Determine b, given that 4/7*b - 4/7*b**2 + 0 = 0.
0, 1
Suppose -59 = -12*n - 11. Factor 0*z**2 + 2/5*z**n + 0 + 0*z**3 + 0*z.
2*z**4/5
Let t(o) be the first derivative of -5*o**3/3 - 5*o**2/2 + 10*o - 11. Determine r, given that t(r) = 0.
-2, 1
Suppose 0 = -a + 3*a + 8. Let u(k) = 3*k**4 + 4*k**3 + 2*k**2 - 1. Let m(y) = -2*y**4 - 3*y**3 - 2*y**2 + 1. Let q(t) = a*m(t) - 3*u(t). Factor q(g).
-(g - 1)**2*(g + 1)**2
Factor 3/5*f**3 + 4*f**2 + 39/5*f + 18/5.
(f + 3)**2*(3*f + 2)/5
Let q(k) be the first derivative of -2/5*k**2 + 3 + 0*k - 2/5*k**3 + 0*k**4 + 2/25*k**5. What is u in q(u) = 0?
-1, 0, 2
Let k(o) be the second derivative of 4*o + 0*o**2 + 1/12*o**3 + 1/24*o**4 + 0. Find y such that k(y) = 0.
-1, 0
Let w**3 - 4*w**2 - 2 - w + w**3 + 12*w**2 - 7*w**3 = 0. What is w?
-2/5, 1
Solve -u**2 - 21 + 5*u**2 + 0*u - 4*u - 3 = 0 for u.
-2, 3
Let s(h) be the third derivative of h**8/168 - 3*h**7/245 - h**6/84 + 3*h**5/70 - h**4/42 - 5*h**2 + 2*h. Solve s(f) = 0 for f.
-1, 0, 2/7, 1
Let v(n) = -n**2 + 2*n + 3. Let o(y) = -y - 52 - 3*y + 2*y**2 + 47. Suppose -2*d = -t + 3*d - 13, -5*d = -4*t - 22. Let q(z) = t*o(z) - 5*v(z). Factor q(j).
-j*(j - 2)
Let t(b) = -b**3 - b**2 - b - 7. Let v be t(0). Let s = v - -7. Suppose s + 1/4*o**3 + 0*o + 0*o**2 = 0. What is o?
0
Suppose 3*r = 7*r. Let q be (3 - r)/((-27)/(-18)). Factor -2*h**4 - h**4 + 5*h**4 - q*h**3.
2*h**3*(h - 1)
Let d(g) be the first derivative of g**3/3 - g**2 + 5. Factor d(a).
a*(a - 2)
Let d be 5/15*6/8. Let x be (-6)/(-15) + 4/(-10). Factor 0 + 1/4*t**3 + d*t**5 + x*t**2 + 0*t - 1/2*t**4.
t**3*(t - 1)**2/4
Let b(d) be the first derivative of -5*d**4/2 + 14*d**3/3 - 2*d**2 - 26. Factor b(j).
-2*j*(j - 1)*(5*j - 2)
Let s(w) be the first derivative of -w**4/18 + 4*w**3/9 - w**2 - 4*w - 6. Let t(a) be the first derivative of s(a). Factor t(b).
-2*(b - 3)*(b - 1)/3
Suppose 0 = -3*a - 15. Let l = a - -9. Suppose -2/5*s**3 + 6/5*s**2 + 2/5*s - 4/5*s**l - 2/5 = 0. What is s?
-1, 1/2, 1
Let p be 1*(4 - 1) + 0. Factor -2/5*j**p + 0 + 0*j**2 + 2/5*j.
-2*j*(j - 1)*(j + 1)/5
Let r(j) be the third derivative of j**8/70560 - j**5/30 - j**2. Let g(t) be the third derivative of r(t). Let g(s) = 0. Calculate s.
0
Let u(x) = 4*x - 42. Let s be u(11). Find d, given that -7/3*d**3 + 0 + 0*d**s + 4/3*d - d**4 = 0.
-2, -1, 0, 2/3
Suppose 1/6*w + 1/6*w**2 - 1/3 = 0. What is w?
-2, 1
Let m(x) be the first derivative of 1/5*x**2 + 0*x + 0*x**3 - 2 - 1/10*x**4. Determine n so that m(n) = 0.
-1, 0, 1
Let c = -1279/7 + 183. What is n in 0 - 4/7*n**5 + c*n - 6/7*n**3 + 2/7*n**2 - 10/7*n**4 = 0?
-1, 0, 1/2
Let c = 1649/2898 + 1/414. Let a = -11 + 11. Factor 0*n + 2/7*n**3 + a + c*n**2 - 2/7*n**4.
-2*n**2*(n - 2)*(n + 1)/7
Suppose -4*a = 4*m - 12, -2*m + 4 = 3*a - 4*m. Determine i so that 34*i**3 - 64*i**4 + 120*i**3 - 156*i**2 - 16 + 88*i + 10*i**5 - 16*i**a = 0.
2/5, 1, 2
Let s = 5 - 8. Let v be s/5*(-4 + -1). Suppose -2*o**4 + o + 2*o**5 + 2*o**2 - 2*o**v - o = 0. Calculate o.
-1, 0, 1
Let r(h) = h**2 - h. Let k(m) = 3*m**4 - 6*m + 3. Let v(q) = k(q) - 6*r(q). Determine g, given that v(g) = 0.
-1, 1
Suppose g**4 - 3*g**4 - g**3 + 5*g + 30 + 3*g**4 - 3*g**2 - 32 = 0. What is g?
-2, 1
Factor 3*u**5 - 50*u**4 - 3*u + 3 + 44*u**4 + 6*u**2 - 3.
3*u*(u - 1)**3*(u + 1)
Suppose 3*q - h = 8 - 3, 0 = q + 2*h - 4. Factor 3*t**3 + 10*t - q*t**4 - 2*t - 9*t**3.
-2*t*(t - 1)*(t + 2)**2
Let c(o) be the third derivative of 2/27*o**3 - 1/18*o**5 - 19/540*o**6 + 0*o - 2*o**2 - 1/135*o**7 - 1/108*o**4 + 0. Let c(q) = 0. Calculate q.
-1, 2/7
Let a(h) be the first derivative of -1/5*h**4 + 0*h**2 + 2/15*h**3 + 0*h + 5 + 2/25*h**5. Find i, given that a(i) = 0.
0, 1
Let o(i) = -2*i**3 + 0 - 12*i + 6*i**2 + 4*i**2 - 12. Let x(k) = -2*k**3 + 10*k**2 - 11*k - 13. Let r(h) = -5*o(h) + 6*x(h). Suppose r(s) = 0. Calculate s.
-1, 3
Let s = 266 + -400. Let v = s - -406/3. Factor 0*w - v*w**3 + 2/3*w**4 + 0 + 2/3*w**2.
2*w**2*(w - 1)**2/3
Let k(w) = -w**4 + w**3 - w**2 - w + 1. Let f(c) = 4*c**4 - 7*c**3 + 8*c**2 + c - 3. Let p(q) = 2*f(q) + 6*k(q). Factor p(d).
2*d*(d - 2)*(d - 1)**2
Let t(p) be the third derivative of p**7/3780 + p**6/270 + p**5/45 + p**4/12 + 2*p**2. Let j(x) be the second derivative of t(x). Determine a so that j(a) = 0.
-2
Let a(g) = g**4 - 13*g**3 - 3*g**2 - 13*g + 1. Let i(l) = l**3 + l**2 + l. Let t(m) = -4*a(m) - 36*i(m). Factor t(h).
-4*(h - 1)**4
Let b(l) be the second derivative of 0*l**3 + 2*l + 0*l**2 + 0 + 1/36*l**4. Factor b(s).
s**2/3
Suppose q - 26 = 5*m, 2*m - 8 - 8 = -4*q. Suppose k**5 + 2 - 6*k**4 + 0*k**2 + q*k - k**5 + 4*k**2 - 2*k**5 - 4*k**3 = 0. What is k?
-1, 1
Let o(b) = -2 + 4 - 3*b + 1 + b**3 + 6*b**2 - 8*b**2. Let i be o(3). Find x such that 0 - 2/3*x**2 + 2/3*x**i + 0*x = 0.
0, 1
Let j(i) = 1. Suppose -15 = 5*v, 3*g - 5*v = -4*v + 9. Let q(m) = -5*m - 3*m**g - 8 - 2*m**2 + 3*m**2. Let k(p) = -6*j(p) - q(p). Suppose k(d) = 0. Calculate d.
-2, -1/2
Let u(y) = -8*y**2 - 52*y - 12. Let h(c) = -3*c**2 - 21*c - 5. Let p(f) = -12*h(f) + 5*u(f). Find d such that p(d) = 0.
-2, 0
Let q = -823 + 825. Suppose 4/7 - 8/7*g**3 + 6/7*g + 0*g**4 - 4/7*g**q + 2/7*g**5 = 0. What is g?
-1, 1, 2
Let y(o) be the second derivative of -o**5/6 - 2*o**4/3 - o**3 - 2*o**2/3 - o. Let y(j) = 0. Calculate j.
-1, -2/5
Suppose 0 = 2*g - 5*y + 16, g + 2*y - 6 = 2*g. Let z(l) be the first derivative of -2*l**2 + 2*l + 2/3*l**3 - g. Factor z(q).
2*(q - 1)**2
Factor -2/3*p**3 + 0*p**4 + 0*p**2 + 1/3*p + 0 + 1/3*p**5.
p*(p - 1)**2*(p + 1)**2/3
Let m(u) be the third derivative of 0*u + 1/420*u**6 + 1/105*u**5 + 0*u**3 + u**2 + 0 + 0*u**4. Suppose m(h) = 0. Calculate h.
-2, 0
Let q(p) = -p**4 - p**3 - p**2. Let n(l) = 8*l**4 + 4*l**3 + 16*l**2 + 5*l - 6. Let b(f) = 4*n(f) + 36*q(f). Factor b(u).
-4*(u - 1)**2*(u + 1)*(u + 6)
Let o(h) = 7*h**4 - 5*h**3 + 6*h**2 + 4*h. Let r(t) = -36*t**4 + 24*t**3 - 30*t**2 - 21*t. Let x(k) = -21*o(k) - 4*r(k). Solve x(l) = 0.
0, 1, 2
Let k(g) be the first derivative of 4 - 2/25*g**5 + 1/5*g**2 + 2/15*g**3 - 1/10*g**4 + 0*g. Suppose k(d) = 0. Calculate d.
-1, 0, 1
Let t be (36 - -3)/((-2)/2). Let g be (-6)/39 - 6/t. Factor 1/4*p - 1/4*p**3 + g + 0*p**2.
-p*(p - 1)*(p + 1)/4
Let f(t) = -2*t**3 + 3*t**2 + 11*t - 3. Let u(v) = 6*v**3 - 8*v**2 - 32*v + 8. Let q(d) = 8*f(d) + 3*u(d). Factor q(j).
2*j*(j - 2)*(j + 2)
Let k(u) be the third derivative of 2*u**7/105 - u**6/8 + 7*u**5/20 - 13*u**4/24 + u**3/2 - 14*u**2. Factor k(o).
(o - 1)**3*(4*o - 3)
Let r(q) = -q**2 + 1. Let w(a) = 8*a**2 - 8*a - 16. Let x(f) = 12*r(f) + w(f). Find l, given that x(l) = 0.
-1
Let t(w) be the second derivative of 2*w**7/77 + 13*w**6/165 + 4*w**5/55 + w**4/66 + 19*w. Factor t(z).
2*z**2*(z + 1)**2*(6*z + 1)/11
Factor 10*x - x**2 - 16 + 2*x + 5*x**2.
4*(x - 1)*(x + 4)
Let k = 3 + -1. Suppose 