*3 - 2*r**2 + r - 9. Let u be q(3). Let b(m) be the first derivative of -2/15*m**u - 4 - 2/5*m**2 - 2/5*m. What is t in b(t) = 0?
-1
Let o = 8 - 6. Factor 14*b**4 + 7*b**4 - b**o + 14*b**3 + 16*b**3 - 8*b**3 - 2*b.
b*(b + 1)*(3*b + 1)*(7*b - 2)
Suppose -n + 4*f = 2*f + 8, -4*f + 24 = 2*n. Let i = -26 + 28. Factor -5*z**i + 5*z**n + 2*z**3.
2*z**3
Let p(a) be the third derivative of -1/1890*a**7 - 1/1080*a**6 + 1/540*a**5 + 0 + 10*a**2 + 0*a + 0*a**4 + 0*a**3 + 1/3024*a**8. Factor p(i).
i**2*(i - 1)**2*(i + 1)/9
Let j(m) be the first derivative of -m**4/16 + m**2/8 + 1. Factor j(z).
-z*(z - 1)*(z + 1)/4
Let r(u) be the third derivative of -u**5/60 + u**4/24 + u**3/3 + 2*u**2. Factor r(w).
-(w - 2)*(w + 1)
Determine z so that 7*z**2 + 14*z - 17*z**2 - 10*z + 12*z**2 = 0.
-2, 0
Let r(f) be the first derivative of -3*f**5/5 - 3*f**4/4 - 5. Factor r(a).
-3*a**3*(a + 1)
Let m be 8 + (4/2)/1. Let k be 9/5 - (-2)/m. Factor -4/3 + 4/3*t + t**k.
(t + 2)*(3*t - 2)/3
Factor 3*v**5 - 9*v**3 + 0*v**3 + 3*v**2 + 3*v**2.
3*v**2*(v - 1)**2*(v + 2)
Suppose 7 - 4 = w. Let f(o) = o**3 - 5*o**2 - 4*o - 8. Let i be f(6). Factor 3*y**3 + 0*y**4 + y + w*y**2 + 0*y**4 + y**i.
y*(y + 1)**3
Let b(q) be the first derivative of 0*q**3 - 9/20*q**5 + 0*q**2 - 1/8*q**4 - 2 + 0*q. Let b(w) = 0. What is w?
-2/9, 0
Let r(m) = -m**2 + 2*m - 1. Let o(z) = z - 1. Let j(g) = -4*o(g) + 2*r(g). Solve j(k) = 0 for k.
-1, 1
Let z(p) be the first derivative of 0*p - 1 + 0*p**2 - 1/14*p**4 + 2/21*p**3. Factor z(u).
-2*u**2*(u - 1)/7
Let m(q) be the second derivative of q**2 + 0 + 1/3*q**3 - 1/6*q**4 - 1/10*q**5 + 2*q. Factor m(o).
-2*(o - 1)*(o + 1)**2
Let f = 8 - 5. Suppose -f*n - 5*b = -6, 4*b + 4 = 3*n - 2. Suppose 2*j + 5*j**2 - 5 - 3*j**2 + 3 - n = 0. What is j?
-2, 1
Let f be (-4)/(-18) + 129/27. Let g be (12/10)/(4/f). Factor g*n**3 + 0 + 3/2*n - 3*n**2.
3*n*(n - 1)**2/2
Let g = 53 - 53. Let b(x) be the first derivative of 3 - 2/15*x**5 + g*x**2 + 1/3*x**4 + 0*x - 2/9*x**3. Suppose b(n) = 0. Calculate n.
0, 1
Let s(g) = -39*g**3 - 105*g**2 - 24*g + 24. Let d(w) = -8*w**3 - 21*w**2 - 5*w + 5. Let r(v) = 24*d(v) - 5*s(v). Factor r(p).
3*p**2*(p + 7)
Let j(m) be the third derivative of -1/150*m**6 + 1/15*m**4 + 0 + 3*m**2 - 1/525*m**7 + 1/50*m**5 + 0*m - 4/15*m**3. Factor j(c).
-2*(c - 1)**2*(c + 2)**2/5
Factor 32*c**3 + 12*c - 38*c**3 - 12 - 3*c**4 + 2*c**2 + 7*c**2.
-3*(c - 1)**2*(c + 2)**2
Let s(j) = -4*j**2 - 2*j + 2. Suppose -2*o = o - 3*k + 6, -5*o = 2*k + 38. Let c(w) = w**2 + w. Let b(q) = o*c(q) - 2*s(q). Factor b(f).
2*(f - 2)*(f + 1)
Let q(u) = 2*u + 18. Let x be q(-8). Factor -x*g + 1 + 9*g**2 + 2*g + 6*g.
(3*g + 1)**2
Suppose -u = -6*u + 10. Suppose 4*l - 8 = -2*d, -4*d = -20 + 4. Suppose l*i + 0 - 2/7*i**u = 0. What is i?
0
Let c(r) be the first derivative of 7*r**4/16 - r**3 - 25*r**2/8 - 3*r/2 - 5. Factor c(p).
(p - 3)*(p + 1)*(7*p + 2)/4
Let m(s) = 2 - 6 - 7 + 2*s. Let j be m(8). Solve 2/3*l**3 + 1/3 - 1/3*l - 2/3*l**2 - 1/3*l**j + 1/3*l**4 = 0.
-1, 1
Suppose 12/7*r + 18/7 + 2/7*r**2 = 0. Calculate r.
-3
Let a(j) = 13*j**2 - j - 8. Let n(b) = 12*b**2 - 7. Let r(o) = 5*a(o) - 6*n(o). Factor r(f).
-(f + 1)*(7*f - 2)
Suppose 0*i + 2*i - 12 = -4*w, 0 = -2*w - 5*i + 14. Suppose u**2 - 2*u + 6*u + 0*u**w + 4 = 0. Calculate u.
-2
Let m = -12 + 15. Determine l, given that 0*l - 2/11*l**m + 0 + 2/11*l**2 = 0.
0, 1
Let m(j) be the second derivative of -j**4/48 - j**3/12 + 8*j. What is v in m(v) = 0?
-2, 0
Let p(f) be the second derivative of 0*f**3 + 1/20*f**5 + 1/30*f**6 + 0*f**2 + f - 1/42*f**7 - 1/12*f**4 + 0. Find a such that p(a) = 0.
-1, 0, 1
Factor -2/7*z**2 + 0*z + 0.
-2*z**2/7
Let m = -20 - -11. Let v be m/(-15) + 11/(-35). Factor 0*p + 0*p**2 + 0 + v*p**4 - 2/7*p**3.
2*p**3*(p - 1)/7
Let w(g) be the third derivative of g**5/150 - g**4/10 + 3*g**3/5 + 25*g**2. Factor w(p).
2*(p - 3)**2/5
Suppose -4*w - 15 = -f + w, 3*f - 3*w - 21 = 0. Solve 10*m**2 + 3*m**f + 6*m**3 + 3*m**3 + m**4 + 8*m**4 - 7*m**2 = 0.
-1, 0
What is m in 9*m - 12 + 12*m**2 + 10 + 2 + 3*m**3 = 0?
-3, -1, 0
Suppose 191*i = 195*i. Factor 13/2*f**4 - 1/2*f - 15/2*f**3 + 7/2*f**2 + i - 2*f**5.
-f*(f - 1)**3*(4*f - 1)/2
Let p(x) = 338*x. Let w be p(1). Let k = 2376/7 - w. Factor -4/7 - k*s**2 - 2*s.
-2*(s + 1)*(5*s + 2)/7
Factor 169 - r - 149 - 4*r**2 + 17*r.
-4*(r - 5)*(r + 1)
Suppose 11*l - 6*l = 20. Let -8/7*r**5 - 2/7*r + 6/7*r**l + 0 + 10/7*r**3 - 6/7*r**2 = 0. What is r?
-1, -1/4, 0, 1
Solve -38/7*c**4 - 4/7*c + 2*c**5 + 0 + 30/7*c**3 - 2/7*c**2 = 0 for c.
-2/7, 0, 1
Let h(m) = 5*m**2 + 5 - 6*m + 2*m**2 + 2*m - 4*m**2. Let n(p) = 8*p**2 - 11*p + 14. Let o(w) = 11*h(w) - 4*n(w). Factor o(s).
(s - 1)*(s + 1)
Determine d so that 8*d**4 + 5*d**4 - 25*d**2 + 10*d + 5*d**3 - 3*d**4 = 0.
-2, 0, 1/2, 1
Let w(n) = 2*n**4 - 2*n**3 + 2*n**2. Let h(x) = -3*x**4 + 2*x**3 - 3*x**2. Let j(c) = 3*h(c) + 4*w(c). Solve j(i) = 0.
-1, 0
Let d(h) be the third derivative of -1/18*h**3 + h**2 - 1/126*h**7 - 5/72*h**4 + 0*h + 0 - 1/18*h**5 - 1/1008*h**8 - 1/36*h**6. What is y in d(y) = 0?
-1
Suppose -3 = 3*v - 2*i + 4*i, 0 = -3*v + 5*i + 18. Let j(h) = -2*h. Let b be j(2). Let n(o) = -1. Let x(r) = r**2 - 5. Let s(q) = b*n(q) + v*x(q). Factor s(y).
(y - 1)*(y + 1)
Let g(v) be the second derivative of 7*v - 1/7*v**2 - 1/7*v**4 + 0 + 2/35*v**5 + 4/21*v**3 - 1/105*v**6. Factor g(m).
-2*(m - 1)**4/7
Let x(q) be the second derivative of -q**4/3 + 6*q**3 - 16*q**2 + 6*q. Determine j, given that x(j) = 0.
1, 8
Factor 3/7*f**4 - 1500/7*f - 60/7*f**3 + 1875/7 + 450/7*f**2.
3*(f - 5)**4/7
Let t be 2/7 + (-38)/(-14). Factor o**t + o + o - 4*o**2 + 2*o.
o*(o - 2)**2
Let r(q) be the second derivative of q**6/10 + q**5/10 - q**4/3 - q**3/3 + q**2/2 + 7*q. Factor r(k).
(k - 1)*(k + 1)**2*(3*k - 1)
Let v(l) be the third derivative of l**7/105 - 7*l**6/60 + 3*l**5/10 + 9*l**4/4 - 18*l**3 + 16*l**2. Factor v(d).
2*(d - 3)**3*(d + 2)
Let l = 8 - -11. Let c = l + -75/4. Factor -c*f + 1/2*f**2 + f**4 + 7/4*f**3 + 0.
f*(f + 1)**2*(4*f - 1)/4
Factor 0*i - 1/8*i**3 - 1/4*i**2 + 0.
-i**2*(i + 2)/8
Let x be (-2 + 2)*(4 - (-36)/(-8)). Let 4*y**4 + 14/3*y**3 + x + 0*y**2 - 2/3*y = 0. What is y?
-1, -1/2, 0, 1/3
Let u(x) = 3*x**3 + 3*x**2 - 3*x - 5. Let r(g) = -3*g**3 - 3*g**2 + 3*g + 6. Let o(y) = 2*r(y) + 3*u(y). Factor o(s).
3*(s - 1)*(s + 1)**2
Suppose 3 = 5*m - 4*g, 2*g + 3*g = -4*m + 27. Suppose m*p + 16 = 5*p. Find u, given that 6 + 1 - 6*u**3 - 3 + 2*u - p*u**2 = 0.
-1, 2/3
Let a(h) = 4*h**2 + 3. Let u = -15 - -9. Suppose 3 = 5*p - 7. Let g(y) = y**2 + 1. Let j(k) = p*a(k) + u*g(k). Factor j(o).
2*o**2
Let d = 21 - 15. Let y be d + -1 + 4/(-2). Factor 4/5*z**2 + 0 + 14/5*z**y + 0*z.
2*z**2*(7*z + 2)/5
Let w(q) be the second derivative of q**5/10 + 7*q**4/12 + 7*q**3/6 + q**2 + 20*q. Factor w(n).
(n + 1)*(n + 2)*(2*n + 1)
Let b = 93 - 87. Let n(r) be the third derivative of 0*r - 1/175*r**7 + 3*r**2 + 1/30*r**4 + 2/75*r**b - 7/150*r**5 + 0 + 0*r**3. Determine s so that n(s) = 0.
0, 2/3, 1
Let b = -106 - -955/9. Let r(h) be the second derivative of 0 - b*h**3 + 2*h - 1/18*h**4 + 0*h**2. Factor r(v).
-2*v*(v + 1)/3
Factor -2/7*d**2 + 4/7*d - 2/7.
-2*(d - 1)**2/7
Determine y so that -30*y + 12 + 38*y - 3*y**2 - y**2 = 0.
-1, 3
Let c(m) be the second derivative of 0*m**2 + 0*m**3 - 4*m + 0 + 1/40*m**5 + 1/12*m**4. Factor c(d).
d**2*(d + 2)/2
Let s(q) = q + 6. Let f be s(6). Let i be (0 + -4)/(2 - f). Solve 0 + 2/5*y**2 + i*y = 0.
-1, 0
Let z(s) = 0*s**2 - 5 + s**2 + 4*s + 2*s**2 + 3*s**2. Let v(o) = -7*o**2 - 5*o + 6. Let f(d) = 5*v(d) + 6*z(d). Determine n, given that f(n) = 0.
0, 1
Suppose 5*w = -5*l - 10, -2*l + 3*w = -w - 8. Factor -18/5*o + 2*o**3 - 2/5*o**4 + l - 6/5*o**2.
-2*o*(o - 3)**2*(o + 1)/5
Let s(n) = n**2 - n. Let d(r) = 4*r**2 - 2*r - 2. Let w(a) = 3*d(a) - 15*s(a). Factor w(u).
-3*(u - 2)*(u - 1)
Let b be 240/96*12/15. Factor 4*k**3 + 0 - 5/2*k**4 + 0*k - 2*k**b + 1/2*k**5.
k**2*(k - 2)**2*(k - 1)/2
Suppose 0*z + 35 = -5*z. Let y = 16 + z. Determine u, given that -3 + y - 2*u**2 + 2*u - 2 = 0.
-1, 2
Let a be (-4)/(-18) - (-29)/(9135/650). Factor -8/7*l - 2/7*l**4 - 10/7*l**3 - a*l**2 + 0.
-2*l*(l + 1)*(l + 2)**2/7
Let l(g) be the second derivative of -7*g**6/10 - 39*g**5/10 + g**4/4 + 22*g**3 - 18*g**2 + 2*g. Let l(k) = 0. Cal