*w - 8/3*w**2 = 0.
-2, 0, 1, 2
Let o(i) be the second derivative of i**7/3150 + i**6/720 + i**5/600 - 5*i**4/12 - 2*i. Let j(k) be the third derivative of o(k). Factor j(u).
(u + 1)*(4*u + 1)/5
Let y = 8 + -1. Let k**2 + 8*k - 5*k - y*k**2 = 0. Calculate k.
0, 1/2
Let u(x) = x**3 - 7*x**2 + 5. Let d be u(7). Suppose l - 7 = -d. Suppose 1/3*z**3 + 1/3 - 1/3*z - 1/3*z**l = 0. What is z?
-1, 1
Let d(g) be the first derivative of -1/2*g**2 - 3 - 1/5*g - 1/30*g**6 - 1/5*g**5 - 2/3*g**3 - 1/2*g**4. Solve d(b) = 0 for b.
-1
Suppose z - 1 - 2 = 2*y, 4*z = -3*y + 12. Suppose 2*c + 12 = 3*a, 4*a + 4*c = -3 + 19. Factor -2 - p + 4*p**3 + 4 - z*p + p**a - 3*p**4.
-2*(p - 1)**3*(p + 1)
Let z = -132 - -662/5. Factor 0*c**4 - 4/5*c**3 + 2/5*c + 0*c**2 + 0 + z*c**5.
2*c*(c - 1)**2*(c + 1)**2/5
Suppose 4/9*d + 0 + 2/3*d**2 = 0. What is d?
-2/3, 0
Find z such that z**2 + 13*z**5 + 12*z + 4*z**4 - 4*z - 5*z**2 - 9*z**5 - 12*z**3 = 0.
-2, -1, 0, 1
Let r be ((-47)/(-5))/((-726)/(-55)). Let l = r - 1/22. Suppose -2*i**3 - 2/3*i + 2*i**2 + l*i**4 + 0 = 0. What is i?
0, 1
Let t(f) be the second derivative of f**7/280 - f**6/80 + f**5/80 + 3*f**2 + 2*f. Let i(s) be the first derivative of t(s). Let i(o) = 0. What is o?
0, 1
Let z be -3*1 - 34/(-9). Let n = z + -5/18. Determine w so that 1/4*w**2 + 1/4 + n*w = 0.
-1
Let u(o) be the third derivative of -o**7/660 - o**6/220 - o**5/330 + 5*o**3/6 + 6*o**2. Let n(x) be the first derivative of u(x). Factor n(t).
-2*t*(t + 1)*(7*t + 2)/11
Let r(y) be the third derivative of y**10/30240 - y**9/5040 + y**8/3360 - y**4/12 - y**2. Let h(a) be the second derivative of r(a). Solve h(q) = 0 for q.
0, 1, 2
Factor 215 + 15*w**4 + 15*w**2 - 40*w**3 + 10*w - 215.
5*w*(w - 2)*(w - 1)*(3*w + 1)
Let l be ((-2)/3)/((-22)/66). Let g(v) be the third derivative of 0*v + v**3 - 3/8*v**4 - 1/4*v**5 + 0 - 3*v**l. Find c such that g(c) = 0.
-1, 2/5
Factor 1/2*k + 0 - 1/4*k**2.
-k*(k - 2)/4
Let r(q) be the first derivative of 27*q**5/5 + 21*q**4 + 30*q**3 + 18*q**2 + 3*q + 16. Find f such that r(f) = 0.
-1, -1/9
Let b(w) be the first derivative of -2*w**6/9 - 4*w**5/15 + w**4 + 4*w**3/9 - 4*w**2/3 + 5. Suppose b(f) = 0. Calculate f.
-2, -1, 0, 1
Let m(y) = -2*y + 1. Let l be m(-1). Suppose 0 = 3*w - 3 - l. Factor -4/3 + 16/3*p**w + 10/3*p**3 + 2/3*p.
2*(p + 1)**2*(5*p - 2)/3
Solve 55*o**3 + 15*o**2 - 235*o**4 + 185*o**2 + 80 + 225*o**4 - 5*o**5 + 220*o = 0.
-2, -1, 4
Let j = 19 - 8. Let k = j + -8. Factor 0*v**k + 0 + 2/3*v**2 - 2/3*v**4 + 0*v.
-2*v**2*(v - 1)*(v + 1)/3
Let l(m) = 5*m**3 + 11*m**2 + 71*m + 121. Let j(b) = 9*b**3 + 23*b**2 + 143*b + 243. Let v(k) = 4*j(k) - 7*l(k). Suppose v(c) = 0. What is c?
-5
Suppose 3 + 2 = j. Suppose -j*u - 6 = -r - 4*u, -2*r = -u - 8. Let -o**3 - 3 + r - 2*o + o**2 + 3*o = 0. What is o?
-1, 1
Let m = 6 - 33. Let x(l) = 39*l**3 - 66*l - 27. Let i(b) = -3*b**3 + 5*b + 2. Let g(s) = m*i(s) - 2*x(s). Factor g(z).
3*z*(z - 1)*(z + 1)
Let c(x) be the second derivative of -1/18*x**4 + 0*x**2 + 0 + 0*x**3 - 3*x. Determine i, given that c(i) = 0.
0
Let w(z) = -z - 1. Let k be w(-7). Let l = k - 4. Determine x, given that 2*x + 2*x**2 - x**l + x**2 = 0.
-1, 0
Suppose d = -0*d + 5. Determine x, given that 4*x - x + 2*x**d - 3*x + 2*x**4 = 0.
-1, 0
Let r(m) be the second derivative of m**5/240 + m**4/96 - m**3/12 + 2*m**2 + 4*m. Let x(f) be the first derivative of r(f). Factor x(p).
(p - 1)*(p + 2)/4
Suppose -5*o = -15 - 0. Let l be 6/o - 0/(-2). Factor -6*z**4 - 2 + 0*z**5 + 4*z**5 + 8*z**2 - 2*z**3 - l*z**3.
2*(z - 1)**3*(z + 1)*(2*z + 1)
Let s be (5/3)/(1/(-3)). Let y = 7 + s. Factor -3*r - 4 + y*r**2 - r**3 + 5 + r**2.
-(r - 1)**3
Let n(b) = 7*b**4 + 40*b**3 + 110*b**2 + 122*b + 43. Let f(d) = -d**4 - d + 1. Let x(r) = -2*f(r) - n(r). Let x(j) = 0. Calculate j.
-3, -1
Let d(h) be the first derivative of 0*h**5 + 0*h - 1/4*h**4 + 1/4*h**2 + 1 + 0*h**3 + 1/12*h**6. Factor d(r).
r*(r - 1)**2*(r + 1)**2/2
Let x be (4 + -2)/((-4)/(-4)). Let q(z) be the second derivative of -2*z + 2/3*z**x + 1/9*z**3 - 1/18*z**4 + 0. Solve q(k) = 0 for k.
-1, 2
Suppose -5*d + 4*u + 11 = u, 4*u - 24 = -3*d. Suppose 0 = -3*o + d*n - 11, -o + 4*o + 4*n - 29 = 0. Factor -2*t**2 - 2*t**4 + 3 - o + 4*t**3.
-2*t**2*(t - 1)**2
Let o(c) be the third derivative of -c**8/6720 - c**7/1260 - c**6/720 - c**4/8 - 2*c**2. Let m(z) be the second derivative of o(z). Factor m(h).
-h*(h + 1)**2
What is k in -8/3*k + 8/3*k**3 - 4/3 + 4/3*k**4 + 0*k**2 = 0?
-1, 1
Let b(i) be the third derivative of i**5/240 - 3*i**4/32 - 5*i**3/12 + 3*i**2 - 2. Let b(y) = 0. Calculate y.
-1, 10
Let o(h) be the first derivative of 5/4*h**2 + 1/8*h**4 - 2/3*h**3 - h + 1. Factor o(n).
(n - 2)*(n - 1)**2/2
Let d(g) be the third derivative of 0*g + 4*g**2 + 1/7*g**4 + 3/70*g**5 + 0 + 4/21*g**3 + 1/210*g**6. Factor d(u).
2*(u + 2)**2*(2*u + 1)/7
Suppose 0 = 3*z + 2*z + s + 4, 3*z = 4*s + 16. Suppose -4*g + 16 = z, 2*g - 18 = -5*n - 0*g. Suppose 4*l + 2 - l**n + 1 - 7 = 0. What is l?
2
Let t(i) be the third derivative of i**6/75 - 3*i**5/50 + i**4/10 - i**3/15 + 12*i**2. Factor t(j).
2*(j - 1)**2*(4*j - 1)/5
Let m(b) = 4*b - 5. Let z be m(4). Let j = 23/2 - z. Determine c so that c - 1/2*c**2 - j = 0.
1
Let q = 111 - 111. Let p(v) be the first derivative of q*v - 2 + 1/4*v**4 + 1/3*v**3 + 0*v**2. Factor p(g).
g**2*(g + 1)
Let h(m) be the third derivative of 0*m**5 + 0 + 1/60*m**4 + 0*m + 0*m**7 + 0*m**3 - 3*m**2 - 1/150*m**6 + 1/840*m**8. Solve h(x) = 0.
-1, 0, 1
Let g = 31/2 + -15. Let k(p) be the first derivative of -g*p + 1/4*p**2 - 1/8*p**4 - 1 + 1/6*p**3. Let k(v) = 0. What is v?
-1, 1
Suppose -11*j = -9*j. Let x(f) be the first derivative of 1/5*f**2 + j*f + 1 - 1/15*f**3. Let x(k) = 0. Calculate k.
0, 2
Let v(m) be the first derivative of 1/3*m**2 + 0*m - 3 - 4/3*m**3 + 11/6*m**4 - 4/5*m**5. Solve v(a) = 0.
0, 1/3, 1/2, 1
Let k = -3 + 6. Suppose i = 5*d + 25, 3*i - k*d + 6 = 45. Factor 2*u**2 + i + 8*u - 2 + 0.
2*(u + 2)**2
Let u be -3 + (-101)/(-25) + -1. Let a = 29/100 - u. Suppose a + 0*p - 1/4*p**2 = 0. What is p?
-1, 1
Let q(r) be the first derivative of r**8/448 + r**7/840 - r**6/240 + 3*r**2/2 + 9. Let m(k) be the second derivative of q(k). Suppose m(a) = 0. What is a?
-1, 0, 2/3
Let l = 14 - 14. Let a be 1/(1/(-2))*-1. Solve l - 2/5*n + 2/5*n**a = 0.
0, 1
Suppose j + 3*j = -8, j - 10 = -4*t. Suppose -3/2*c + 0 - t*c**2 - 3/2*c**3 = 0. Calculate c.
-1, 0
Let o = 25 - 22. Let u = 5 - o. Let 1/3*x**u + 0*x + 0 = 0. What is x?
0
Factor -4*g**5 + 0*g - 765*g**4 + 0*g + 773*g**4.
-4*g**4*(g - 2)
Let i(v) be the third derivative of v**5/12 - 15*v**4/8 - 25*v**3/3 - 7*v**2 + 2*v. Factor i(x).
5*(x - 10)*(x + 1)
Let f(g) be the second derivative of -g**6/6 - 7*g**5/4 - 55*g**4/12 - 25*g**3/6 + 19*g. Factor f(c).
-5*c*(c + 1)**2*(c + 5)
Suppose -72 + 58 = -7*i. Factor 2/7*a**i - 2/7 + 0*a.
2*(a - 1)*(a + 1)/7
Let l be (1/4)/((-2)/(-8)). Let x(p) = p**3 + 2*p**2 - p. Let r be x(l). Let 8 - 2*d + d**2 + d**r - 5*d - d = 0. Calculate d.
2
Let c be (-3)/63 - (-1 - (-2)/3). Let v be ((-6)/8)/((-63)/24). Factor -c*z**3 + 2/7*z**4 - 2/7*z**2 + 0 + v*z.
2*z*(z - 1)**2*(z + 1)/7
Let h(i) = i + 10. Let b be h(-8). Factor -4 + 0 - b*v**2 - 8*v - 2*v**2.
-4*(v + 1)**2
Solve 2/5*d**2 - 8/5*d + 8/5 = 0 for d.
2
Suppose 0 = -3*w - 4*i - 19, 4 = -i. Let d be -1 + 1 + 3 + w. Determine v, given that 0 + 1/3*v**4 + 1/3*v**3 - 1/3*v**d - 1/3*v = 0.
-1, 0, 1
Let t(a) be the second derivative of 2*a**6/75 - 5*a. Solve t(k) = 0.
0
Let h(v) be the second derivative of 3*v + 1/6*v**4 + 0 + 0*v**3 - 1/10*v**5 + 0*v**2 + 1/60*v**6. Factor h(j).
j**2*(j - 2)**2/2
Let r(l) = l**2 - l + 6. Let b(d) = 3*d**2 - 3*d + 12. Let u(g) = -4*b(g) + 9*r(g). What is s in u(s) = 0?
-1, 2
Let b(s) be the second derivative of 0*s**3 + 1/135*s**5 + s + 3/2*s**2 + 0 + 1/108*s**4 + 1/540*s**6. Let f(j) be the first derivative of b(j). Factor f(n).
2*n*(n + 1)**2/9
Let s(d) be the third derivative of 0*d**3 + 0*d**4 + 1/50*d**6 + 0*d - 2*d**2 + 1/150*d**5 + 3/175*d**7 + 0 + 1/210*d**8. Determine m, given that s(m) = 0.
-1, -1/4, 0
Let o(h) be the second derivative of 1/5*h**3 + 0 - 2/5*h**2 + 3*h - 1/30*h**4. Factor o(i).
-2*(i - 2)*(i - 1)/5
Let p = 10 + -7. Solve 6/5*g**4 + 0 + 2/5*g**2 + 6/5*g**p + 2/5*g**5 + 0*g = 0.