*l + 0 + 0*l**3. Solve p(m) = 0.
-1, 0
Let f(a) be the second derivative of 1/33*a**6 + 0 - 5*a + 9/110*a**5 + 0*a**2 - 2/33*a**3 - 1/33*a**7 - 5/66*a**4. Find d such that f(d) = 0.
-1, -2/7, 0, 1
Let h = 15 - 12. Let u be (-3)/h*0/(-1). Solve 1/2*i + u + 1/4*i**2 = 0 for i.
-2, 0
Let f(l) = 2*l**2 - 3*l + 9. Let t(x) = 4 - 2*x**2 + 2*x - 3*x + 3*x**2. Let y(p) = 6*f(p) - 14*t(p). Factor y(h).
-2*(h + 1)**2
Suppose -6 = -5*s + 4. Factor -2/3 - 2/3*d**s + 4/3*d.
-2*(d - 1)**2/3
Let o(m) be the second derivative of -m**5/20 - m**4/12 + 2*m**3/3 + 2*m**2 - m. Factor o(j).
-(j - 2)*(j + 1)*(j + 2)
Let a = 11 + -9. Factor 2*j - j**2 + j**2 + j**a + j**2.
2*j*(j + 1)
Suppose -24*u + 18*u = 0. Let o(l) be the second derivative of 2/3*l**4 + l**2 + 3/20*l**5 + u - l + 7/6*l**3. Factor o(n).
(n + 1)**2*(3*n + 2)
Let f(y) be the second derivative of y**6/180 + y**5/60 - y**4/6 - y**3/2 + 2*y. Let g(b) be the second derivative of f(b). Determine v, given that g(v) = 0.
-2, 1
Let d(m) = m**2 + 1. Let i(v) = -2*v**2 - v - 2. Let k = -6 + 11. Let q(x) = k*d(x) + 2*i(x). Factor q(s).
(s - 1)**2
Suppose j - 3 = -0*j. Suppose -t = w - 5, j - 8 = -w. Suppose t + 0*b**2 + 1/2*b**5 + 0*b**3 - 1/2*b**4 + 0*b = 0. Calculate b.
0, 1
Let q(y) = -y**3 - 4*y**2 - 5*y - 5. Let k be q(-3). Let l be k + 32/14 + -3. Determine f, given that l*f - 4/7*f**2 + 2/7*f**3 + 0 = 0.
0, 1
Let k(l) be the third derivative of l**7/735 + 4*l**6/105 + 16*l**5/35 + 64*l**4/21 + 256*l**3/21 + 3*l**2. What is j in k(j) = 0?
-4
Factor 0*o**2 + 0 - 1/4*o + 1/4*o**3.
o*(o - 1)*(o + 1)/4
Let q = -5 - -2. Let d = -1 - q. Let d*v**3 + v**2 - 3*v**3 - 3*v**2 + 6*v**3 + 7*v**4 = 0. Calculate v.
-1, 0, 2/7
Let w(v) = v**2 - 8*v + 8. Let m be w(8). Suppose m*r = 4*r + 12. Suppose 2*i**2 + i**3 - i**r + i**3 + i**3 = 0. What is i?
-1, 0
Let c(a) be the second derivative of a**5/65 + 5*a**4/78 - 4*a**3/39 - 3*a**2/13 - 22*a. Suppose c(d) = 0. Calculate d.
-3, -1/2, 1
Let i(c) be the first derivative of c**4/4 - c**3 - 7*c**2/2 + 3*c + 4. Let a be i(5). Suppose -9*x**2 + a*x - x**2 + 2*x**3 - 5*x**2 + 3*x**2 = 0. What is x?
0, 3
Let r(y) be the third derivative of y**6/120 + y**5/15 - 5*y**4/24 + y**2 - 15*y. Solve r(o) = 0 for o.
-5, 0, 1
Let s(t) be the second derivative of -27*t**5/140 + 69*t**4/28 - 43*t**3/14 + 3*t**2/2 + 11*t. Factor s(a).
-3*(a - 7)*(3*a - 1)**2/7
Let z = 7 - 4. Let t(o) = 4*o**2 - 14*o + 6. Let p be (1*(-1 - 3))/1. Let x(a) = 5*a**2 - 13*a + 5. Let f(q) = p*x(q) + z*t(q). Factor f(m).
-2*(m - 1)*(4*m - 1)
Suppose -7*w + 3*w = -t - 1, 13 = 2*t - 5*w. Factor 2*z**2 + 142*z**4 + 68*z**5 + 128*z**5 + 44*z**3 + t*z**4 + 2*z**2.
z**2*(4*z + 1)*(7*z + 2)**2
Let o(g) be the first derivative of -3*g**5/10 + 3*g**4/4 - 3*g**2/2 - 5*g - 4. Let x(p) be the first derivative of o(p). Suppose x(w) = 0. What is w?
-1/2, 1
Let n(x) be the first derivative of -3*x**4/4 + 7*x**3 - 24*x**2 + 36*x - 30. Solve n(a) = 0.
2, 3
Suppose -p**4 - 3*p**3 - 2*p**3 + 1292*p - 1296*p - 8*p**2 = 0. Calculate p.
-2, -1, 0
Let r be (76/513)/((-1)/(-3)). Let k(v) be the first derivative of -2/9*v**3 + 3 - 2/9*v - r*v**2. Solve k(s) = 0 for s.
-1, -1/3
Let g(j) = -j**3 - j**2 - 1. Let c(r) = -4*r**3 - 6*r**2 - 5. Let o(t) = -c(t) + 3*g(t). Let u(v) be the first derivative of o(v). Find w such that u(w) = 0.
-2, 0
Let a(u) = 11*u**5 - 3*u**4 + 3*u**3 - 11*u**2 - 7*u + 7. Let m(b) = 6*b**5 - 2*b**4 + 2*b**3 - 6*b**2 - 4*b + 4. Let c(k) = -4*a(k) + 7*m(k). Factor c(y).
-2*y**2*(y - 1)*(y + 1)**2
Let c = -32 - -36. Let v be (-1)/c - (-185)/100. Factor -o - 1/5 - 4/5*o**3 - v*o**2.
-(o + 1)*(2*o + 1)**2/5
Let c(z) = -3*z**3 - 17*z**2 + 17*z. Let b be (-25)/10*(-8)/5. Let k(v) = -b*v**2 - 2*v**2 - v**3 + 5*v + v. Let p(d) = 6*c(d) - 17*k(d). Factor p(l).
-l**3
Let t(c) be the first derivative of -2/9*c**3 - 6 - 1/6*c**4 + 1/3*c**2 + 2/3*c. Factor t(g).
-2*(g - 1)*(g + 1)**2/3
Suppose -4*r + 2*c = -24, 6 + 10 = 2*r - 3*c. Factor r*q**4 - 3*q**4 - 2*q + 2*q**3 - 4*q**4 + 2*q**2.
-2*q*(q - 1)**2*(q + 1)
Suppose -q - d - 6 + 4 = 0, -3*q + d = -10. Suppose -w**3 - q*w**4 - 3*w**2 + w**5 + 2*w**2 + 3*w**2 = 0. Calculate w.
-1, 0, 1, 2
Suppose o - 9 = -3*t, 3*t - 3 = 2*o - o. Factor 0 + 1/2*h - 1/2*h**4 - 3/2*h**2 + 3/2*h**o.
-h*(h - 1)**3/2
Suppose 5*j = -p - p + 14, 4 = 5*p - 3*j. Let c(w) be the first derivative of 0*w - 1/4*w**4 - 1 - 2/3*w**3 - 1/2*w**p. Determine u so that c(u) = 0.
-1, 0
Find x, given that 21*x + 6 - 21*x**3 + 18*x**4 - 6*x**4 - 11*x**2 - 7*x**2 = 0.
-1, -1/4, 1, 2
Let s be (-4)/6*(8 + 187/(-22)). Factor s*r + 0 + 1/6*r**2.
r*(r + 2)/6
Let f(c) = -4*c**2 - 9*c + 8. Let t(z) = 2*z**2 + 5*z - 4. Let r(h) = -3*f(h) - 5*t(h). Factor r(j).
2*(j - 1)*(j + 2)
Let q = 271 - 268. Let -1/3*l - 1/3*l**4 - l**q - l**2 + 0 = 0. What is l?
-1, 0
Suppose 0 = 5*m - m - 84. Suppose 4 + 15*q**2 - 10*q**2 + 2*q**4 + 24*q + 4 + 12*q**3 + m*q**2 = 0. Calculate q.
-2, -1
Let v(j) be the first derivative of 0*j**3 + 1/18*j**4 + 0*j**2 + 1/30*j**5 - 2*j + 2. Let w(b) be the first derivative of v(b). Factor w(i).
2*i**2*(i + 1)/3
Let s(t) = 5*t**2 + 4*t - 6. Let b(w) = -4*w**2 - 3*w + 5. Let p(q) = q**3 + 2*q**2 + 3*q. Let r be p(-2). Let h(u) = r*b(u) - 5*s(u). Factor h(m).
-m*(m + 2)
Let n(p) = -p**4 + p**2 + p - 1. Let l = -5 - -6. Let w(v) = -4*v**4 + 2*v**3 + 6*v**2 + 5*v - 5. Let r(z) = l*w(z) - 5*n(z). Factor r(j).
j**2*(j + 1)**2
Let y = 27058/15 - 1802. Let j(l) be the first derivative of 2 + 247/10*l**4 + 35/3*l**6 - y*l**3 + 32*l**5 - 44/5*l**2 - 16/5*l. Suppose j(a) = 0. What is a?
-1, -2/5, -2/7, 2/5
Suppose -2*q = 45 - 49. Let -6/5*g**2 + q*g**3 - 2*g + 8/5*g**4 - 2/5 = 0. What is g?
-1, -1/4, 1
Suppose m**3 - 3/4*m**5 + 1/2 - 1/4*m + m**4 - 3/2*m**2 = 0. What is m?
-1, -2/3, 1
Let a(z) be the first derivative of z**5/150 - 4*z**3/15 + 5*z**2/2 - 8. Let n(h) be the second derivative of a(h). Determine u, given that n(u) = 0.
-2, 2
Let h(p) be the third derivative of p**6/20 + p**5/6 - 11*p**4/12 + p**3 - 19*p**2. Factor h(c).
2*(c - 1)*(c + 3)*(3*c - 1)
Suppose 15*v = 8*v + 28. Factor -19*l**3 - 13/2*l - 5/2*l**5 - 11*l**v - 1 - 16*l**2.
-(l + 1)**4*(5*l + 2)/2
Let u(s) be the third derivative of -s**3 + 1/40*s**5 + 0*s**4 + 0 - 6*s**2 + 0*s. Determine i, given that u(i) = 0.
-2, 2
Suppose 0 = -4*h + 16, -4*h - 16 = 3*z - 8*h. Determine l, given that 0 + 3/8*l**5 - 3/8*l - 3/4*l**2 + z*l**3 + 3/4*l**4 = 0.
-1, 0, 1
Let r(f) be the third derivative of -f**6/144 - f**5/90 + 11*f**4/144 - f**3/18 + 21*f**2. Factor r(y).
-(y - 1)*(y + 2)*(5*y - 1)/6
Let c be 14/(-78)*(43 + -55). Suppose 12/13*i**3 - c*i**5 + 14/13*i**2 - 34/13*i**4 + 0 - 4/13*i = 0. Calculate i.
-1, 0, 2/7, 1/2
Factor -14*v - 26*v**3 - 4*v**4 + 6*v**4 + 2 + 30*v**2 + 6*v**4.
2*(v - 1)**3*(4*v - 1)
Let p = 11 - 16. Let n(x) = x + 7. Let d be n(p). Factor -1 - 2*g + 4*g + 3*g**d - 4*g**2.
-(g - 1)**2
Let p = 7/24 + 1/24. Factor 2/3*v**5 - 5/3*v**4 + 0 + 1/3*v**2 - p*v + v**3.
v*(v - 1)**3*(2*v + 1)/3
Let f be -3*(-1 + 15/(-9)). Suppose -2*x = 4*h + 14, -4*x + 0*h = 3*h + f. Solve -3*g**3 + g**2 - 2*g**2 + 2*g**3 + x + g = 0 for g.
-1, 1
Let w(c) = 65*c**3 - 31*c**2 - 5*c. Let j(f) = -66*f**3 + 30*f**2 + 4*f. Let z(n) = -7*j(n) - 6*w(n). Let z(g) = 0. Calculate g.
0, 1/6
Factor 2/7*q**2 + 0*q - 12/7*q**3 + 0.
-2*q**2*(6*q - 1)/7
Let r(t) be the second derivative of -t**6/360 + t**5/60 + t**4/8 - 2*t**3/3 - 5*t. Let x(l) be the second derivative of r(l). Find g, given that x(g) = 0.
-1, 3
Let b(f) be the second derivative of 0*f**2 - 1/5*f**5 + 0 + 1/15*f**6 + 3*f + 1/6*f**4 + 0*f**3. Factor b(l).
2*l**2*(l - 1)**2
Let v(u) be the third derivative of -2*u**7/105 - u**6/10 - 2*u**5/15 - 12*u**2. Determine d, given that v(d) = 0.
-2, -1, 0
Let o(i) = 4*i**2 - 12*i + 12. Let y(h) = 4*h**2 - 12*h + 13. Let t(p) = 5*o(p) - 4*y(p). Factor t(v).
4*(v - 2)*(v - 1)
Let k(w) be the first derivative of -w**6/24 + w**5/4 - 9*w**4/16 + 7*w**3/12 - w**2/4 + 8. Suppose k(i) = 0. What is i?
0, 1, 2
Let x(w) = 2*w**5 + 35*w**4 + 14*w**3 - 17*w**2 + 17*w + 17. Let i(o) = o**5 + 12*o**4 + 5*o**3 - 6*o**2 + 6*o + 6. Let j(s) = -17*i(s) + 6*x(s). Factor j(l).
-l**3*(l - 1)*(5*l - 1)
Let u(m) = -4*m**3 + 2*m**3 + 36 - 3*m**2 - 31. Let b(f) = -3*f**3 - 4*f**2 + 7. Let s(j)