t -j*b**5 + 3*b**u - 4*b**3 - b**5 + 4*b**4 + 0*b**5 = 0. What is b?
0, 1/3, 1
Let w(g) = -16*g**2 + 21*g + 18. Let z(y) = -5*y**2 + 7*y + 6. Let u(l) = 2*w(l) - 7*z(l). Factor u(v).
(v - 3)*(3*v + 2)
Factor 19*d**2 + d + 5*d - 39*d**2 + 16*d**3.
2*d*(2*d - 1)*(4*d - 3)
Let l(d) be the first derivative of -d**6/21 - 2*d**5/7 - 9*d**4/14 - 2*d**3/3 - 2*d**2/7 + 11. Determine j so that l(j) = 0.
-2, -1, 0
Suppose -10 = 2*p, 2*p = 3*q - 2 - 14. Let z(c) be the first derivative of 10/27*c**3 + 4/9*c**q - 1/6*c**4 - 1 - 8/9*c. Factor z(m).
-2*(m - 2)*(m + 1)*(3*m - 2)/9
Suppose 4*l - 36 = -5*l. Suppose z + 15 = 6*z. Factor 5*y**3 - y**2 - l*y**z + 0*y**2.
y**2*(y - 1)
Factor 21*f**5 - 57*f**4 - 557*f - 18*f**3 + 557*f.
3*f**3*(f - 3)*(7*f + 2)
Let y(r) = -7*r**2 + 2*r. Let h(n) = 120*n**2 - 35*n. Let l(q) = 2*h(q) + 35*y(q). Find f, given that l(f) = 0.
0
Let l(z) = z**2 - 5*z + 2. Let g be l(5). Determine w, given that 63*w**g - 66*w**2 - 6*w + 3*w = 0.
-1, 0
Let p(t) = -t**2 + 5*t + 3. Let n be p(4). Let m = n - 4. Factor 1/3*h**5 - 1/3*h**2 + 0 - 1/3*h**m + 1/3*h**4 + 0*h.
h**2*(h - 1)*(h + 1)**2/3
Suppose 1 = 2*m - 3. Factor -13 + 14 + 0*v**2 + 4*v**m - 5*v.
(v - 1)*(4*v - 1)
Let k(j) = 3*j**2 + 2*j - 5. Let v(h) be the third derivative of 2*h**5/15 + h**4/4 - 7*h**3/3 - 3*h**2. Let b(z) = 14*k(z) - 5*v(z). Factor b(d).
2*d*(d - 1)
Suppose -2*s - s = -9. Let c(r) = -4*r**3 - r**2. Let q be c(-1). Solve -9*z**2 + 2*z + 5*z**4 + s*z**4 + 2*z**q - 4*z + z**2 = 0.
-1, -1/4, 0, 1
Suppose -8 = j - 47. Factor j*f**2 + 2*f**3 - 39*f**2.
2*f**3
Let b = -20 + 28. Factor -10*o + 6*o**2 + b*o**2 + 6*o.
2*o*(7*o - 2)
Let y(k) be the third derivative of -k**6/24 - k**5/3 + 5*k**4/24 + 10*k**3/3 + k**2. Solve y(i) = 0.
-4, -1, 1
Let s(x) = -x + 8. Let l be s(6). Let a(o) be the third derivative of 0 + 0*o**3 + 0*o**5 - 1/240*o**6 + 0*o + o**l + 1/48*o**4. Factor a(p).
-p*(p - 1)*(p + 1)/2
Let o = 1402/105 + -93/7. Let t(x) be the first derivative of -2 - 1/5*x + 1/5*x**2 - o*x**3. Factor t(j).
-(j - 1)**2/5
Let x(d) be the first derivative of 4*d**5/35 + d**4/7 - 4*d**3/7 - 10*d**2/7 - 8*d/7 - 3. Suppose x(n) = 0. What is n?
-1, 2
Suppose -2*o = -27*o. Let -4/13*j + 2/13*j**3 + o + 2/13*j**5 + 6/13*j**4 - 6/13*j**2 = 0. Calculate j.
-2, -1, 0, 1
Let x = -3 + 5. Suppose -3 = 3*u, 2*m - 2*u = x*u + 12. Find d such that 0*d**3 + 0*d**4 - 12*d**2 - 8*d**3 - 2*d**m - 2 - 8*d = 0.
-1
Let y(v) be the third derivative of v**6/40 + v**5/10 - v**4/8 - v**3 + 7*v**2. Factor y(k).
3*(k - 1)*(k + 1)*(k + 2)
Factor 2/11*u**4 - 24/11*u + 26/11*u**2 + 8/11 - 12/11*u**3.
2*(u - 2)**2*(u - 1)**2/11
Factor 0 + 0*s + 4/7*s**2 + 8/7*s**3 + 4/7*s**4.
4*s**2*(s + 1)**2/7
Find o, given that 0*o**2 + 1/3*o**5 + o**3 + 0 + 4/3*o**4 + 0*o = 0.
-3, -1, 0
Suppose 3*k + 12 = -0*k. Let c be (-2 - k) + -1 + 1. Find z such that 4*z**2 - 3*z**2 - c*z - 4*z**2 = 0.
-2/3, 0
Let r(q) be the third derivative of 0*q + 1/108*q**4 + 2/27*q**3 + 2*q**2 - 1/270*q**5 + 0. Factor r(n).
-2*(n - 2)*(n + 1)/9
Suppose -2/5*m + 0 - 3/5*m**4 + 1/5*m**3 + 1/5*m**5 + 3/5*m**2 = 0. What is m?
-1, 0, 1, 2
Find a such that 5/3*a**4 + 10*a**2 + 0*a + 0 + 35/3*a**3 = 0.
-6, -1, 0
Let d(y) = -y**5 + y**4 + 1. Let i(g) = 15*g**5 - 24*g**4 - 18. Let b(n) = 18*d(n) + i(n). Find w, given that b(w) = 0.
-2, 0
Let t = 39 + -40. Let z be t - (4 + (-20)/4). Factor 0*x**4 - 1/5*x + 0*x**2 - 1/5*x**5 + 2/5*x**3 + z.
-x*(x - 1)**2*(x + 1)**2/5
Let b be -4 + 0 - 176/(-24). Let -4/3*h**3 + b*h**4 - 10/3*h**2 + 4/3*h + 0 = 0. Calculate h.
-1, 0, 2/5, 1
Factor 0*j + 4/5*j**2 + 2/5*j**3 + 0.
2*j**2*(j + 2)/5
Let v = 183 - 179. Factor l**v + 0 + 0*l + 9/4*l**3 + 1/2*l**2.
l**2*(l + 2)*(4*l + 1)/4
Suppose 5*q + 1 = 11. Factor 2*x**q + x - 5*x + 4*x + 4 + 6*x.
2*(x + 1)*(x + 2)
Let j(k) be the second derivative of -k**7/42 - k**6/30 + 3*k**5/20 + k**4/12 - k**3/3 + 6*k. Suppose j(r) = 0. What is r?
-2, -1, 0, 1
Suppose 3*n = 3*y + 3, 4*y - 2*y = -2*n + 10. Let s(p) be the first derivative of -1/2*p**y - 1/12*p**4 + 1/3*p - 3 + 1/3*p**3. Find z, given that s(z) = 0.
1
Let w = 10/3 + -8/3. Let b be 88/(-154) - 8/(-14). Find p such that 0*p + b + 2/3*p**2 - 4/3*p**3 + w*p**4 = 0.
0, 1
Let r = 1909 - 1094. Factor 400*o**4 - 330*o**3 + 8 + 22*o + 54*o - 57*o**5 + 182*o**5 + r*o**3 + 278*o**2.
(o + 1)**2*(5*o + 2)**3
Let g(p) be the first derivative of 0*p - 9*p**3 + 45/4*p**4 + 3/2*p**6 + 3*p**2 - 33/5*p**5 - 4. Factor g(x).
3*x*(x - 1)**3*(3*x - 2)
Let y = -36 + 38. Factor 18/5*i**y - 4/5*i + 0.
2*i*(9*i - 2)/5
Let p(q) be the third derivative of q**8/56 - q**7/14 + q**6/20 - q**2 + 31. Let p(k) = 0. Calculate k.
0, 1/2, 2
Factor -6/5*b**2 - 4/5*b**3 + 2/5 + 0*b.
-2*(b + 1)**2*(2*b - 1)/5
Suppose 4*r - r = 9. Determine k so that 3 - 7*k**3 - r*k**2 - 8*k - 9*k**2 - 2*k**4 - k**3 - 5 = 0.
-1
Factor 8/5 - 4/5*d**2 - 4/5*d.
-4*(d - 1)*(d + 2)/5
Let b(r) be the first derivative of -4*r**3/15 + 4*r**2/5 + 12*r/5 - 11. Let b(g) = 0. Calculate g.
-1, 3
Let b(n) be the second derivative of n**6/360 - n**5/60 - n**3/6 + 3*n. Let p(v) be the second derivative of b(v). Factor p(f).
f*(f - 2)
Suppose 2*m + 3*m**2 - 6*m + 11*m**2 + 6*m**4 - 8*m**3 - 8*m**3 = 0. Calculate m.
0, 2/3, 1
Suppose -4*o + 1 = -7. Let w = o + 1. Solve -3/2*c**2 + 3/2*c**w - 1/2*c**4 + 1/2*c + 0 = 0.
0, 1
Let w be (74/10 - (-3 - -4))*1. Let 18/5*n**3 - 8/5 + w*n - 42/5*n**2 = 0. What is n?
2/3, 1
Let l(s) be the second derivative of -s**7/70 + 2*s**6/25 - 3*s**5/25 - s**4/10 + s**3/2 - 3*s**2/5 - s. Let l(k) = 0. Calculate k.
-1, 1, 2
Let l(m) be the third derivative of 1/300*m**6 + 0*m + 0*m**4 - 4/15*m**3 + 1/50*m**5 + 0 + 8*m**2. Factor l(s).
2*(s - 1)*(s + 2)**2/5
Solve -c**2 + 4*c**2 - 6*c**2 - 2*c**2 = 0 for c.
0
Factor 2*n**2 - 4*n**2 + 2*n**2 - 18*n + 2*n**2.
2*n*(n - 9)
Factor 4/5*h**3 - 2/5 + 2/5*h**4 - 4/5*h + 0*h**2.
2*(h - 1)*(h + 1)**3/5
Let x(n) be the first derivative of -n**4/46 - 6*n**3/23 - 15*n**2/23 + 50*n/23 + 4. Find p, given that x(p) = 0.
-5, 1
Let y = -47159/90 - -524. Let z(q) be the third derivative of q**2 + 1/105*q**7 + 1/12*q**4 - 1/504*q**8 - 1/9*q**3 + 0 + 0*q - 1/45*q**5 - y*q**6. Factor z(k).
-2*(k - 1)**4*(k + 1)/3
Let s(d) be the first derivative of d**6/27 - d**4/9 + d**2/9 + 5. Factor s(k).
2*k*(k - 1)**2*(k + 1)**2/9
Find s such that -4*s - s**2 - 9*s**2 + 19*s + 4 + 6 = 0.
-1/2, 2
Let k(v) be the first derivative of v**5/20 + 3*v**4/16 + v**3/4 + v**2/8 + 19. Suppose k(i) = 0. What is i?
-1, 0
Factor -2/3*h + 0 - 2/3*h**2.
-2*h*(h + 1)/3
Determine c so that 0 - 1/3*c**5 - 1/3*c**2 - 2/3*c + c**3 + 1/3*c**4 = 0.
-1, 0, 1, 2
Let q(d) be the second derivative of -d**6/45 + d**5/5 - 13*d**4/18 + 4*d**3/3 - 4*d**2/3 + 10*d. Let q(x) = 0. What is x?
1, 2
Let c(a) be the third derivative of 2*a**7/105 + a**6/10 + a**5/15 - a**4/2 - 4*a**3/3 - 22*a**2. Determine j so that c(j) = 0.
-2, -1, 1
Suppose 0 = 2*s - 8*s. Let v(a) = -a**2 - 5*a. Let h be v(-5). Factor 1/3*u**5 + 0*u**2 + 1/3*u**4 + 0*u**3 + h + s*u.
u**4*(u + 1)/3
Let w(i) be the second derivative of -i**7/231 - 4*i**6/33 - 9*i**5/10 + 10*i**4/33 + 100*i**3/33 - i + 6. Suppose w(v) = 0. What is v?
-10, -1, 0, 1
Suppose 3*m = -h + 5*h, 5*h - 3*m = 3. Let q(v) be the first derivative of -1 + 0*v - 2/13*v**2 - 2/39*v**h. Determine t, given that q(t) = 0.
-2, 0
Let o(t) be the third derivative of t**8/560 + 3*t**7/350 + 3*t**6/200 + t**5/100 + 15*t**2. Solve o(r) = 0.
-1, 0
Let w(p) be the first derivative of -5*p**4/2 - 65*p**3/3 - 60*p**2 - 45*p - 16. Factor w(o).
-5*(o + 3)**2*(2*o + 1)
Factor 0 - 1/6*g**3 - 1/6*g + 1/3*g**2.
-g*(g - 1)**2/6
Let n(q) = q**2 + 5*q - 2. Let l(i) = -i**2 - 15*i + 9. Let u(v) = 7*v**2 + 119*v - 73. Let a(b) = -51*l(b) - 6*u(b). Let w(d) = 2*a(d) - 21*n(d). Factor w(x).
-3*x*(x + 1)
Suppose 2*f + 0*f = -2*k + 14, 0 = 3*f - 12. Find w such that -k*w**3 + 7*w**2 - w**3 - 5*w**4 + 4*w - 1 - w**2 = 0.
-1, 1/5, 1
Let r(w) be the second derivative of -w**7/10080 - w**6/1440 - w**4/3 - 4*w. Let h(i) be the third derivative of r(i). Solve h(u) = 0.
-2, 0
Let k(y) be the third derivative of 0*y - y**2 - 1/36*y**4 + 0 - 1/270*y**5 - 2/27*y**3. What is u in k(u) = 0?
-2, -1
Let k(r) be the first derivative of r**7/210 - r**6/30 + r**5/10 - r**4/6 + r**3/6 + r**2 - 