 v be p(5). Let m(h) = h**2 + 17*h + 6. Let f(c) = -3*c**2 - 42*c - 15. Let u(d) = v*f(d) - 12*m(d). Suppose u(y) = 0. What is y?
-1
Let q(a) be the second derivative of -3*a**5/20 - 7*a**4/4 + a**3/2 + 21*a**2/2 + 13*a. Factor q(p).
-3*(p - 1)*(p + 1)*(p + 7)
Let u be (12/(-15))/((-5)/25). Factor -1 + u - m**3 + 3*m - 1.
-(m - 2)*(m + 1)**2
What is c in 0 + 0*c - 2/3*c**5 - 2/3*c**2 + 2/3*c**3 + 2/3*c**4 = 0?
-1, 0, 1
Let t(l) = l**3 - 8*l**2 + 16*l - 19. Let d be t(6). Let n(b) be the second derivative of 2*b + 1/9*b**4 + 1/3*b**2 + 5/18*b**3 + 0 + 1/60*b**d. Factor n(y).
(y + 1)**2*(y + 2)/3
Let h be (4 + -143)*(-3)/(-12). Let c = h - -35. Suppose 0 + 1/2*o + c*o**2 = 0. Calculate o.
-2, 0
Let t be (-36)/(-90)*15/21. Factor -t*u - 6/7*u**2 - 6/7*u**3 - 2/7*u**4 + 0.
-2*u*(u + 1)**3/7
Let w(c) = 16*c**2 - 2*c. Let l(x) = -5*x**2 + x. Let m(f) = -7*l(f) - 2*w(f). Factor m(y).
3*y*(y - 1)
Let c = -22 - -22. Let x(f) be the second derivative of 7/24*f**4 + c - 3*f + 0*f**2 + 1/6*f**3. Find d such that x(d) = 0.
-2/7, 0
Let p(z) = 2*z**3 + 35*z**2 + 157*z - 197. Let o(u) = u**2 + u - 1. Let w(x) = -6*o(x) - 2*p(x). Factor w(q).
-4*(q - 1)*(q + 10)**2
Let t = -8 + 10. Suppose 4*o**3 + 2*o**2 + 2*o**4 + o**t - 2*o + 0*o**2 - 7*o**2 - 2*o**5 + 2 = 0. What is o?
-1, 1
Suppose -u + 2 = -0. Factor n - 2*n - 7*n**2 + 3*n - u - 11*n.
-(n + 1)*(7*n + 2)
What is s in 2/5*s**4 + 192/5*s**2 - 32/5*s**3 + 512/5 - 512/5*s = 0?
4
Let q(d) be the second derivative of -d**5/120 + d**4/16 - d**3/6 - 5*d**2/2 + 3*d. Let a(p) be the first derivative of q(p). Factor a(h).
-(h - 2)*(h - 1)/2
Let q(f) = 3*f**3 + 7*f + 5. Let p(r) = 2*r**3 + 4*r + 3. Let u(h) = -10*p(h) + 6*q(h). Factor u(d).
-2*d*(d - 1)*(d + 1)
Let f = -5 - -10. Let d = 8 - f. Find o such that 3*o**d + 2*o**2 - 2*o + o**2 - 3*o**4 - o**3 = 0.
-1, 0, 2/3, 1
Let o(y) be the third derivative of -y**7/315 - y**6/90 - y**5/90 - 3*y**2. Determine w so that o(w) = 0.
-1, 0
Suppose -m + 5 = 3. Factor -d**4 - 2*d**3 + 0*d**4 + 0*d**m + 2*d**2 - 3*d**2.
-d**2*(d + 1)**2
Let m(r) be the first derivative of -r**8/672 + r**6/60 + r**5/60 - r**4/16 - r**3/6 - 3*r**2/2 - 2. Let z(n) be the second derivative of m(n). Factor z(o).
-(o - 2)*(o - 1)*(o + 1)**3/2
Let o(c) = -c**5 + c. Let v = 3 + -4. Let t(i) = 6*i**5 + 10*i**4 + 12*i**3 + 6*i**2 - 2*i. Let k = -7 - -4. Let f(r) = k*o(r) + v*t(r). Factor f(l).
-l*(l + 1)**3*(3*l + 1)
Let h be 0 + 2 + 1 + 1. Factor -3*g + 1 - 2*g**h + g + 2*g**3 + g**4.
-(g - 1)**3*(g + 1)
Let i = 19/2 - 9. Let a(l) be the first derivative of 2 - 1/5*l**2 + 4/25*l**5 - 2/5*l + 2/5*l**3 + i*l**4. Factor a(d).
2*(d + 1)**3*(2*d - 1)/5
Suppose c = -0*c + 10. Suppose -4*n + c = n. Solve -8*q + 2*q + 2*q + 6*q**n + 10*q**3 = 0 for q.
-1, 0, 2/5
Suppose a = 5*c + 70, -5*a + 126 = -3*a - 3*c. Let u be 51/a + 3/(-5). Solve 0*v + 0 + u*v**2 = 0 for v.
0
Let u(t) = t**3 - 1. Let j(z) = -6*z**3 + 12*z**2 - 48*z + 7. Let h(i) = -j(i) - 5*u(i). Let g(d) be the first derivative of h(d). Suppose g(q) = 0. What is q?
4
Let c be 10/15 + (-1)/(-3). Let p = c + 2. Determine q so that 6*q**3 - q**3 - 7*q**p + 2*q = 0.
-1, 0, 1
Let i be 22*(0 - (-3)/6). Let m = 11 - i. Find u, given that 0*u**2 + 0 + m*u - 2/7*u**3 = 0.
0
Let x(i) be the third derivative of 0 + 1/360*i**6 + 0*i**5 + 0*i + 0*i**3 - 1/72*i**4 + i**2. Factor x(y).
y*(y - 1)*(y + 1)/3
Let w(f) = -2*f**2 + 79*f + 69. Let o(h) = 6*h**2 - 159*h - 137. Let t(d) = 3*o(d) + 7*w(d). Factor t(k).
4*(k + 1)*(k + 18)
Let t(c) be the second derivative of -1/10*c**2 + 0 + c + 0*c**3 + 1/60*c**4. Factor t(y).
(y - 1)*(y + 1)/5
Suppose i - 12 = 4*i. Let n be (-18)/(-20) + i/8. Solve 0 - 1/5*k + n*k**2 = 0.
0, 1/2
Let b be (2/6)/((-2)/(-3)). Factor b*h**3 + 0 + h**2 + 1/2*h.
h*(h + 1)**2/2
Let f(g) be the second derivative of -g**6/6 - 3*g**5/4 - 5*g**4/4 - 5*g**3/6 - 9*g. Suppose f(p) = 0. What is p?
-1, 0
Suppose 0 = t + 3*c - 5*c - 5, -3*t + 3*c + 12 = 0. Factor 2/3*w**4 - 2/3*w - 2*w**t + 0 + 2*w**2.
2*w*(w - 1)**3/3
Let t(c) be the second derivative of c + 0*c**4 - 1/180*c**5 - c**2 + 0 + 1/18*c**3. Let m(x) be the first derivative of t(x). Let m(q) = 0. Calculate q.
-1, 1
Let s(m) be the second derivative of 1/30*m**6 - 1/2*m**2 - m + 0 - 1/10*m**5 + 0*m**4 + 1/3*m**3. Suppose s(u) = 0. What is u?
-1, 1
Solve -1/4*w**2 - 1/2*w - 1/4 = 0.
-1
Let c(i) be the first derivative of -i**6/6 - i**5/5 + i**4/4 + i**3/3 - 3. Factor c(f).
-f**2*(f - 1)*(f + 1)**2
Let p(x) = -2*x**3 - 18*x**2 - 10*x. Let q(n) = n**3 - n. Let k(m) = p(m) - 2*q(m). Factor k(z).
-2*z*(z + 4)*(2*z + 1)
Let d(o) be the first derivative of -2*o**3/9 - 2*o**2/3 + 2*o + 30. Determine w, given that d(w) = 0.
-3, 1
Let w(z) = -4*z**4 - 6*z**3 + 2*z**2 + 6*z + 2. Let c(n) = 5*n**4 + 6*n**3 - 2*n**2 - 6*n - 3. Let b(v) = -4*c(v) - 6*w(v). Factor b(t).
4*t*(t - 1)*(t + 1)*(t + 3)
Let n(c) be the third derivative of 2*c**9/945 + c**8/420 - c**7/180 + c**6/360 - c**4/3 + 10*c**2. Let l(p) be the second derivative of n(p). Factor l(q).
2*q*(q + 1)*(4*q - 1)**2
Suppose 0*c = 8*c. Let l(x) be the second derivative of c*x**2 + 0 + 1/10*x**6 + 1/10*x**5 + x + 0*x**3 + 0*x**4. Factor l(z).
z**3*(3*z + 2)
Let a be 0 - -1 - (6 - 4). Let r = a + 1. Find p such that -p**3 + r*p**5 - 2*p**5 + 4*p**4 + 4*p**3 - 5*p**3 = 0.
0, 1
Factor 0 + 3/5*u**4 - 6/5*u + 6/5*u**3 - 3/5*u**2.
3*u*(u - 1)*(u + 1)*(u + 2)/5
Let k(y) = -9*y**4 - 10*y**3 + 4*y**2 + 4*y - 4. Let z(m) = 10*m**4 + 10*m**3 - 5*m**2 - 5*m + 5. Let h(p) = 5*k(p) + 4*z(p). Determine s, given that h(s) = 0.
-2, 0
Let x(k) be the first derivative of -21*k**4/8 - k**3 + 21*k**2/4 + 3*k + 1. Factor x(f).
-3*(f - 1)*(f + 1)*(7*f + 2)/2
Let v(f) be the third derivative of f**6/40 + f**5/10 + 33*f**2. Factor v(n).
3*n**2*(n + 2)
Let k be 7 - 8 - 3/(-1). Factor -k + 3/2*b**2 + 0*b - 1/2*b**3.
-(b - 2)**2*(b + 1)/2
Let l(c) be the third derivative of -c**6/720 + c**5/90 - 5*c**4/144 + c**3/18 - 4*c**2. Factor l(b).
-(b - 2)*(b - 1)**2/6
Let i(p) = -6*p**2 - 4*p - 26. Let x = 11 + -25. Let b(g) = -2*g**2 - g - 9. Let w(f) = x*b(f) + 5*i(f). Factor w(a).
-2*(a + 1)*(a + 2)
Let c(d) be the first derivative of d**3/3 - 4*d**2 + 16*d - 11. Suppose c(k) = 0. What is k?
4
Factor -7*m**2 + 4*m**2 - 16 + 15*m**2 + 6*m**3 - 2*m**3.
4*(m - 1)*(m + 2)**2
Suppose 34 = 5*k - v, -5*k - 2*v + v = -26. What is q in -4*q**2 + k*q**2 - 7*q - 2*q + 4 + 3*q = 0?
1, 2
Let b(f) be the first derivative of -3*f**5/5 - 3*f**4/4 + 3*f**3 + 3*f**2/2 - 6*f + 2. Suppose b(a) = 0. What is a?
-2, -1, 1
Let b = 9 + 3. Let p = b + -7. Determine m so that 1 + p*m**2 + 7*m**2 + 8*m + 2*m**4 + 1 + 8*m**3 = 0.
-1
Let c(v) = v**4 - v**3 - 1. Let h(n) = 5*n**5 + 6*n**4 - 6*n**3 - 5*n**2 - 1. Let o(k) = c(k) - h(k). What is r in o(r) = 0?
-1, 0, 1
Let s = 63 - 61. Find v such that 6/11*v**s - 2/11*v - 4/11 = 0.
-2/3, 1
Let c(g) be the first derivative of -g**8/1344 + g**7/840 + g**6/480 - g**5/240 + 3*g**2/2 - 1. Let j(w) be the second derivative of c(w). Factor j(y).
-y**2*(y - 1)**2*(y + 1)/4
Let u(d) be the first derivative of -d**7/420 + d**6/180 + d**5/60 - d**4/12 - 4*d**3/3 + 2. Let x(g) be the third derivative of u(g). Factor x(n).
-2*(n - 1)**2*(n + 1)
Suppose 1 = -l + 5. Factor 4/5*k**3 - 44/5*k**l + 0 + 0*k + 121/5*k**5 + 0*k**2.
k**3*(11*k - 2)**2/5
Let 1/4*w**5 + w**3 - w**4 - 5/4*w + 1/2*w**2 + 1/2 = 0. What is w?
-1, 1, 2
Let c(l) be the third derivative of 7*l**6/480 + l**5/120 - 3*l**2. Suppose c(j) = 0. Calculate j.
-2/7, 0
Let t(q) = 8*q**4 + 16*q**3 + 2*q**2 - 6*q + 2. Let w(j) = -9*j**4 - 17*j**3 - 3*j**2 + 5*j - 3. Let p(a) = -6*t(a) - 4*w(a). Factor p(z).
-4*z*(z + 1)*(z + 2)*(3*z - 2)
Let d(y) be the second derivative of y**4/24 + y**3/6 + 4*y. Solve d(z) = 0 for z.
-2, 0
Let j(z) be the third derivative of -3/10*z**5 + 0 - 1/5*z**6 - 1/21*z**7 - 10*z**2 + 0*z - 1/6*z**4 + 0*z**3. Factor j(o).
-2*o*(o + 1)**2*(5*o + 2)
Let l = 95/2 + -47. Factor l*o**2 - 2*o + 2.
(o - 2)**2/2
Suppose -2/7*a + 0 - 2/7*a**2 = 0. What is a?
-1, 0
Let p(m) be the third derivative of m**2 + 0 + 0*m + 0*m**3 + 1/12*m**4 + 1/30*m**5. Let p(w) = 0. What is w?
-1, 0
Suppose -4*r + 8 = -3*k, -r - 2*k + 18 = r. Let y(x) be the first derivative of 1 + 3/2*x**2 - 1/5*x - r*x**3 + 25/4*x**4. Factor y(b