 0 - (-2)/(-7)*b. Determine c so that -2/7*c**2 + 4/7*c - f = 0.
1
Let w(s) be the first derivative of 0*s - 3 - 3/2*s**4 + 4/5*s**5 + 4/3*s**3 - 1/2*s**2 - 1/6*s**6. Factor w(v).
-v*(v - 1)**4
Let u be (-1)/5 + (-6 - (-32)/5). Let m(l) be the first derivative of 5/4*l**2 + 3/2*l**3 + 1/2*l - 2 + 7/8*l**4 + u*l**5. Factor m(q).
(q + 1)**3*(2*q + 1)/2
Let k(t) be the second derivative of t**5/14 + t**4/6 + 2*t**3/21 + 9*t. Suppose k(p) = 0. Calculate p.
-1, -2/5, 0
Suppose -5*l = -10*l + 25. Let m be l*((-36)/(-20))/3. Find x such that 1/2*x + 1/2*x**2 - 1/2 - 1/2*x**m = 0.
-1, 1
Let v = 563198723 - 1740284070143/3090. Let f = -1/618 - v. Let -46/5*g**3 + 4/5 + 14/5*g**4 - f*g + 54/5*g**2 = 0. Calculate g.
2/7, 1
Let d(z) be the first derivative of -10 - 1/4*z**5 + 1/12*z**3 + z + 7/16*z**4 + 1/24*z**6 - z**2. Let d(c) = 0. Calculate c.
-1, 1, 2
Let 6/7*z**5 + 12/7*z**2 - 8/7*z**3 - 8/7*z**4 + 2/7*z - 4/7 = 0. Calculate z.
-1, -2/3, 1
Let f(m) = 2*m**4 + 8*m**3 - 8*m**2 - 8*m - 3. Let u(q) = q**4 - q**3 + q**2 + q + 1. Let y(w) = -f(w) - 3*u(w). Let y(z) = 0. What is z?
-1, 0, 1
Let y(u) = -u**2 - 4*u + 9. Let n(r) = 3*r**2 + 7*r - 18. Suppose -4*k = 3*i + 57, k = -7 + 4. Let q(b) = i*y(b) - 6*n(b). Factor q(d).
-3*(d - 3)**2
Factor -2/5 + 2/5*l**3 - 2/5*l + 2/5*l**2.
2*(l - 1)*(l + 1)**2/5
Solve 3*o**2 + 4*o**3 - 3*o**4 + 11*o**4 - 7*o**4 = 0 for o.
-3, -1, 0
Solve -4*p**2 + 4*p**3 - 226*p + 222*p - 8*p**2 + 12 = 0.
-1, 1, 3
Let g(d) be the third derivative of 0 + 0*d**4 + 0*d - 2/105*d**7 + 0*d**3 - 8*d**2 + 1/30*d**6 + 0*d**5. Find m such that g(m) = 0.
0, 1
Suppose -3 = -w - 0*w. Let x(m) = 8*m**3 + m**3 - 3*m**2 - 2*m**w + 0*m**3. Let q(z) = -27*z**3 + 12*z**2. Let b(p) = 4*q(p) + 15*x(p). Factor b(o).
-3*o**2*(o - 1)
Let t = 53/246 - 2/41. Let o(w) be the first derivative of -t*w**2 - 1 + 1/9*w**3 + 1/12*w**4 - 1/3*w. Determine c, given that o(c) = 0.
-1, 1
Let j(g) be the first derivative of -3*g**5/5 + 5*g**4/4 + g**3/3 - 5*g**2/2 + 2*g - 9. Factor j(u).
-(u - 1)**2*(u + 1)*(3*u - 2)
Let m = 55 + -101/2. Find n, given that -14*n - 15*n**2 - 4 - m*n**3 = 0.
-2, -2/3
Suppose 3*g - 2*j = 12, -g + j = -2*j - 4. Let o(i) be the second derivative of -1/30*i**g + 0*i**2 + 0 + 1/15*i**3 - i. Determine m, given that o(m) = 0.
0, 1
Let b(d) = d**2 - 5*d + 6. Let a be b(4). Suppose 0 = -4*z + a*z. Find u, given that 2/7*u**4 + 0*u + z + 0*u**2 - 4/7*u**3 = 0.
0, 2
Let c(l) be the first derivative of -1/12*l**4 + 1/3*l**3 - l + 0*l**2 - 2. Let m(s) be the first derivative of c(s). Factor m(k).
-k*(k - 2)
Let p(u) = 2*u**2 - 5*u. Let q be p(3). Factor 2/5*c**2 - 2/5 - 2/5*c**q + 2/5*c.
-2*(c - 1)**2*(c + 1)/5
Let k(m) be the first derivative of -m**6/24 + m**4/16 - 1. Determine z, given that k(z) = 0.
-1, 0, 1
Let c(i) be the first derivative of 3/4*i**4 + 0*i**3 + 0*i**5 - 1/4*i**6 - 2 + 0*i - 3/4*i**2. Let c(y) = 0. What is y?
-1, 0, 1
Suppose 3*z + 12 + 18 = 0. Let x = 10 + z. Find n such that 1/4*n**3 + x*n + 0 + 0*n**2 = 0.
0
Factor -2/11*a**4 + 0*a + 2/11*a**5 + 2/11*a**2 + 0 - 2/11*a**3.
2*a**2*(a - 1)**2*(a + 1)/11
Let x = -7 + 10. Determine i, given that 5*i**2 + 7*i**4 + x*i**3 - 5*i**2 - 4*i**4 = 0.
-1, 0
Let s(z) be the first derivative of 3*z**4/4 - 7*z**3 + 33*z**2/2 - 15*z - 32. Factor s(x).
3*(x - 5)*(x - 1)**2
Let g(o) be the third derivative of -o**7/1470 + o**6/1260 - o**3/2 - 9*o**2. Let q(l) be the first derivative of g(l). Find f such that q(f) = 0.
0, 1/2
Let r(n) be the first derivative of n**4/12 - n**3/2 + n**2 - 2*n/3 - 1. Factor r(j).
(j - 2)**2*(2*j - 1)/6
Let p = 89/3 - 29. Let s(i) be the second derivative of -1/3*i**3 + 0*i**2 + p*i**4 + 0 + i. Factor s(z).
2*z*(4*z - 1)
Let r(g) = 8*g**3 - 22*g**2 - 28*g + 2. Let b(i) = i**3 - i**2 - i + 1. Let y(l) = 10*b(l) - r(l). Factor y(j).
2*(j + 1)**2*(j + 4)
Let n be 25/15 + (-1)/(-3). Let 2*q**n + 0*q - q**2 - 2*q = 0. What is q?
0, 2
Let d(h) be the first derivative of h**8/1680 - h**6/180 + h**4/24 - 4*h**3/3 + 7. Let b(g) be the third derivative of d(g). Suppose b(v) = 0. What is v?
-1, 1
Factor 8 + 9*z**4 - 3*z**2 - 4 - 2*z**3 - 8*z**4 + 4*z.
(z - 2)**2*(z + 1)**2
Let z be 183/30 + -3 + -3. Let i(c) be the first derivative of z*c**4 + 1/25*c**5 - 1/10*c**2 - 2/15*c**3 + 1/5*c - 1/30*c**6 + 2. What is b in i(b) = 0?
-1, 1
Let m(u) be the second derivative of u**6/105 - 2*u**5/35 + 5*u**4/42 - 2*u**3/21 + 11*u. Solve m(a) = 0.
0, 1, 2
Suppose 3*h + h = 0. Let b = 2 + h. Factor u**3 + u**b + 2*u - 2*u.
u**2*(u + 1)
Factor -3*r**3 + 9*r**3 + 5*r**2 + 4*r**4 - r**2 + 2*r**3.
4*r**2*(r + 1)**2
Let w(o) be the second derivative of o**7/840 + o**6/60 + o**5/10 + o**4/6 - 10*o. Let l(a) be the third derivative of w(a). What is h in l(h) = 0?
-2
Suppose 227*f - 214*f = 39. Let 3/4*s**f - 3/4*s**4 + 0 + 3/4*s**2 - 3/4*s = 0. What is s?
-1, 0, 1
Suppose 2/3*n**2 + 0*n - 2/3*n**4 - 2/9*n**3 + 0 + 2/9*n**5 = 0. Calculate n.
-1, 0, 1, 3
Let z(h) be the third derivative of -1/10*h**4 + 0 - 1/100*h**5 - 2*h**2 + 0*h - 3/10*h**3. Factor z(v).
-3*(v + 1)*(v + 3)/5
Suppose 7 - 6*z**3 - 2*z**2 + 1 - z**4 - 5 + z**5 + 5*z = 0. Calculate z.
-1, 1, 3
Let v(f) be the first derivative of 0*f**2 - 2 + 1/6*f**4 + 0*f + 0*f**3. Factor v(a).
2*a**3/3
Let x(k) be the first derivative of 2*k**3 + 1 + k**4 + 0*k - 2*k**2 - 6/5*k**5. Determine a, given that x(a) = 0.
-1, 0, 2/3, 1
Let v(j) be the third derivative of j**8/448 - j**6/40 - j**5/40 + 3*j**4/32 + j**3/4 - 12*j**2. Factor v(d).
3*(d - 2)*(d - 1)*(d + 1)**3/4
Suppose 5*r = 2 + 8. Factor 5*l**r + 4*l**2 + 2*l - 5*l**2 + 2*l**3 + 0*l**3.
2*l*(l + 1)**2
Suppose 3*t = 2*a - 39, -5*a + 5 = -2*t - 10. Let x = t + 15. Determine l so that -1/2*l**2 - 1/4*l - 1/4*l**3 + x = 0.
-1, 0
Let f = -201 - -201. Let c(r) be the first derivative of -3/4*r**4 + 1/3*r**3 + 2 + 1/6*r**6 + f*r - 1/5*r**5 + r**2. Find s, given that c(s) = 0.
-1, 0, 1, 2
Let l = 95/58 + -4/29. Let t = 2 - l. Find j such that 1/2*j + 0 - t*j**2 = 0.
0, 1
Let q be (1/2)/((-4)/(-24)). Suppose -i + v = 4*v - 10, -v = -q*i + 10. Find a such that -8*a**4 + 3*a**5 + 6*a**i - a**5 = 0.
0, 1
Let p = -54/13 - -512/117. Determine t, given that 0*t + 4/9*t**4 - p*t**3 - 2/9*t**5 + 0 + 0*t**2 = 0.
0, 1
Solve 12*q**3 + 3*q**2 + 2*q**2 + 13*q**3 - 20*q**3 - 10*q = 0.
-2, 0, 1
Suppose -7*l + 28 = -3*l. Suppose 0 = t - p - l, -3*t - 7 = -0*t + 4*p. Determine s, given that -2*s**2 + 0 + 9/4*s**5 + 1/4*s + 11/2*s**t - 6*s**4 = 0.
0, 1/3, 1
Let g be ((-4)/80)/((-9)/1 - -3). Let b(x) be the third derivative of 1/300*x**5 - g*x**4 + 0 - 1/15*x**3 + 3*x**2 + 0*x. Solve b(c) = 0 for c.
-1, 2
Let o(v) be the second derivative of -v**6/480 - v**5/240 + v**3/3 - 3*v. Let x(l) be the second derivative of o(l). Factor x(b).
-b*(3*b + 2)/4
Let y = 18 - 11. Let g(x) be the third derivative of -1/15*x**5 + 0*x + 0*x**4 + x**2 - 4/105*x**y - 3/20*x**6 + 0*x**3 + 0. Find z such that g(z) = 0.
-2, -1/4, 0
Let i(n) be the second derivative of -n**7/63 - n**6/45 + n**5/15 + 9*n. Determine p, given that i(p) = 0.
-2, 0, 1
Suppose -3 = 3*f - 12. Determine m so that -10*m**3 + f*m**2 + 11*m**3 - 4*m**2 = 0.
0, 1
Let o(j) be the third derivative of -j**8/30240 - j**7/11340 - j**4/6 + 5*j**2. Let z(u) be the second derivative of o(u). Factor z(k).
-2*k**2*(k + 1)/9
Let l(y) = 12*y**3 - 5*y**2 - 14*y + 1. Let k(f) = -f**2 - f - 1. Let p(x) = -2*k(x) + l(x). Factor p(o).
3*(o - 1)*(o + 1)*(4*o - 1)
Let n = -32/9 + 137/36. Let x(v) be the first derivative of 0*v - 1/16*v**4 - n*v**2 - 1/4*v**3 + 2. Find m such that x(m) = 0.
-2, -1, 0
Suppose 0 = v - 2*v + 2. Let u be 7/v + (-6 - -3). Factor 0*c + 0 - 1/2*c**2 + 0*c**3 + u*c**4.
c**2*(c - 1)*(c + 1)/2
Let f = -591 - -591. Determine d so that f + 0*d**2 - 2*d + 3/2*d**3 + 1/2*d**4 = 0.
-2, 0, 1
Let s = 134/51 + -39/17. Find z, given that 4/3 - 4/3*z + s*z**2 = 0.
2
Let y(v) be the first derivative of v**9/3024 - v**7/420 + v**5/120 - v**3 - 3. Let k(b) be the third derivative of y(b). Factor k(m).
m*(m - 1)**2*(m + 1)**2
Suppose 3*j - 2*v = -0*j + 8, -3*j = 5*v - 1. Factor 1 + z**j + 50*z**3 - 3*z + 40*z**5 - 6*z + 1 - 84*z**4.
(z - 1)*(2*z - 1)**3*(5*z + 2)
Let v(t) be the third derivative of t**6/360 - t**5/60 + t**4/24 + 2*t**3/3 - 4*t**2. Let n(w) be the first derivative