 = 0. What is y?
2/5, 11
Let c be -4*(-2 + 33/(-12)). Let o = c + -19. Suppose 0*p - 1/3*p**4 + 0*p**3 + o + 1/3*p**2 = 0. Calculate p.
-1, 0, 1
Let s = -12 + 10. Let c be -4*(0 + (-3 - s)). Factor 0 + 10/7*u**3 + 2/7*u**2 + 2*u**c + 6/7*u**5 + 0*u.
2*u**2*(u + 1)**2*(3*u + 1)/7
Let v be 3/(45/111) - 7. Factor 0 + 6/5*n**3 + v*n + 6/5*n**2 + 2/5*n**4.
2*n*(n + 1)**3/5
Let c(k) = 3*k**3 + 4*k**2 - k - 6. Let u(a) = 7 - 3*a**2 - 3*a + 5*a - 2*a**2 - 4*a**3. Let g(w) = -5*c(w) - 4*u(w). Let g(q) = 0. What is q?
-2, 1
Suppose 5*k - 40 = 5*s, 0*k = -k - 5*s - 4. Solve 6 + 7*t - 3*t**2 - k*t - t - 3*t = 0.
-2, 1
Let c be 2/5 - (-5115)/(-12600). Let k = c - -7/24. Determine h so that 0*h**2 + 0 + 2/7*h - k*h**3 = 0.
-1, 0, 1
Let i(x) be the first derivative of -2*x**3/3 + x**2 + 4*x - 16. Determine f, given that i(f) = 0.
-1, 2
Let z(n) be the third derivative of -n**8/30240 + n**7/3780 + n**5/15 - n**2. Let g(u) be the third derivative of z(u). Factor g(j).
-2*j*(j - 2)/3
Let 4*o**3 + 18*o + 12*o - 7*o**2 - o**2 - 26*o = 0. What is o?
0, 1
Factor 3 + 1/3*d**3 - 5/3*d**2 + d.
(d - 3)**2*(d + 1)/3
Factor 40 + 228*h**2 - 204*h**3 - 127*h**2 + 28*h**4 - 464*h + 403*h**2 + 56.
4*(h - 3)*(h - 2)**2*(7*h - 2)
Let w(s) be the third derivative of -s**5/120 + s**3/12 - 5*s**2 - 2. Factor w(f).
-(f - 1)*(f + 1)/2
Let n(h) = -h**2 - 5*h - 4. Let w be n(-2). Solve j**3 - 3*j**2 - 24 + w*j + j + 23 = 0 for j.
1
Let -2*x**2 - 15*x - 3*x**3 + 3*x + 14*x**2 = 0. Calculate x.
0, 2
Let s(i) be the second derivative of 5*i**7/42 + 7*i**6/6 + 9*i**5/2 + 25*i**4/3 + 20*i**3/3 + 5*i. Find g such that s(g) = 0.
-2, -1, 0
Let o(d) be the second derivative of -d**4/72 + d**3/12 - d**2/6 - 12*d. Factor o(g).
-(g - 2)*(g - 1)/6
Let s = -6 + 2. Let p(b) = b**5 - 3*b**4 - b + 1. Let t(z) = -z**3 - z**2 + z. Let c(f) = s*t(f) + 2*p(f). Let c(m) = 0. What is m?
-1, 1
Suppose -2*d + 3*l + 8 = 0, d + 8*l - 4*l = -18. Let z be (2 - (3 + d)) + -1. Factor -1/4 + 1/4*j**2 + z*j.
(j - 1)*(j + 1)/4
Let g(a) be the third derivative of 0*a - 4*a**2 + 0*a**3 + 1/180*a**5 + 1/36*a**4 + 0. Factor g(o).
o*(o + 2)/3
Suppose -5*j = 4*y - 29, 0 - 4 = -4*y. Let b = -1 - -5. Factor 1 + 5*z - b*z - j - 3*z + 2*z**2.
2*(z - 2)*(z + 1)
Let y(m) = m**4 + m**3 + m. Let u(b) = 6*b**4 + 4*b**3 + 2*b**2 + 19*b + 8. Let r(j) = -3*u(j) + 21*y(j). Factor r(k).
3*(k - 2)*(k + 1)*(k + 2)**2
Let q = -25 - -27. Let 0*a + 0 + 2/7*a**q = 0. What is a?
0
Let i = -11/8 - -15/8. Let s(g) be the first derivative of 1/4*g**4 + 1/3*g**3 - g + 1 - i*g**2. Factor s(h).
(h - 1)*(h + 1)**2
Let w(o) be the third derivative of -o**7/2940 - o**6/1260 + o**5/420 + o**4/84 + 7*o**3/6 + 2*o**2. Let c(r) be the first derivative of w(r). Factor c(q).
-2*(q - 1)*(q + 1)**2/7
Let z(v) be the second derivative of v**5/90 - 2*v**4/9 + 16*v**3/9 + 5*v**2 + 7*v. Let y(h) be the first derivative of z(h). Solve y(x) = 0 for x.
4
Factor 0 + 10/7*x + 2/7*x**2.
2*x*(x + 5)/7
Let k = -971/3 + 329. Factor -2/3 - 32/3*b**2 + k*b.
-2*(4*b - 1)**2/3
Let m = -8 + 42. Let o(f) = 11*f**2 - 17*f + 6. Let p(r) = -2*r**2 + 3*r - 1. Let l(s) = m*p(s) + 6*o(s). Factor l(n).
-2*(n - 1)*(n + 1)
Suppose 0 = 5*v - i - 46, -4*v = -5*v - 4*i + 26. Factor 3*r**2 + 50 + 2*r + v*r - 41.
3*(r + 1)*(r + 3)
Let x be (-52)/(-14) - (-5 + (-198)/(-42)). Let a(n) be the second derivative of -4*n + 0 + 1/10*n**5 + n**2 - 1/6*n**x - 1/3*n**3. Factor a(d).
2*(d - 1)**2*(d + 1)
Let j be 36/16 + (-2 - 0). Suppose 2*m + 0*m - 4*l - 12 = 0, -5*m + 5*l + 20 = 0. Find s such that -1/2*s + j + 1/4*s**m = 0.
1
Let d be (-10)/(-8) - (-4)/16. Determine o so that d - 3/2*o**2 + 0*o = 0.
-1, 1
Let r(p) be the second derivative of p**7/42 + p**6/6 + 3*p**5/10 - p**4/3 - 4*p**3/3 + 9*p. Factor r(i).
i*(i - 1)*(i + 2)**3
Factor 4*c**3 - 1808*c - 16*c**2 + 1808*c.
4*c**2*(c - 4)
What is v in 10 + 15*v**2 - 75*v**3 - 2 + 48*v + 3 + 1 = 0?
-2/5, 1
Let -1/2*r - 3/10 + 11/10*r**2 - 3/10*r**3 = 0. Calculate r.
-1/3, 1, 3
Let h(z) be the second derivative of -2/5*z**4 - 7/10*z**3 + z - 3/5*z**2 + 0 - 9/100*z**5. Find j, given that h(j) = 0.
-1, -2/3
Factor 10/9*w**3 - 8/9*w + 16/9*w**2 + 0.
2*w*(w + 2)*(5*w - 2)/9
Let u(v) be the second derivative of 0 - 1/21*v**7 + 1/3*v**4 + 6*v - 2/15*v**6 + 0*v**2 + 1/3*v**3 + 0*v**5. Suppose u(w) = 0. Calculate w.
-1, 0, 1
Suppose 4*u + 0*u - 21 = -d, 8 = 2*u. Let i(l) be the second derivative of 0*l**2 - 1/40*l**d + 0*l**4 + 1/12*l**3 - l + 0. Factor i(h).
-h*(h - 1)*(h + 1)/2
Let o(k) be the first derivative of k**3/5 - k**2/2 + 2*k/5 + 8. Let o(d) = 0. Calculate d.
2/3, 1
Let j(b) = 2*b - 5. Let c(y) = -3*y + 10. Let o(t) = -3*c(t) - 5*j(t). Let f be o(-6). Factor p + 2*p**2 + p - f - 3*p**2.
-(p - 1)**2
Let b(w) be the first derivative of -w**6/15 + 2*w**5/5 - 9*w**4/10 + 14*w**3/15 - 2*w**2/5 - 20. Solve b(q) = 0 for q.
0, 1, 2
Let h be 31*4/(-28) - -5. Factor -h*w - 2/7 + 6/7*w**2.
2*(w - 1)*(3*w + 1)/7
Find n, given that 3*n**4 - 3 - 5 - 4 + 6*n**3 - 24*n + 0 - 9*n**2 = 0.
-2, -1, 2
Let u(s) be the second derivative of -5/3*s**4 - 1/3*s**6 - 1/21*s**7 + 0 + s - s**2 - 5/3*s**3 - s**5. What is k in u(k) = 0?
-1
Let v(g) be the second derivative of g**7/84 - g**6/100 - 7*g**5/200 + g**4/40 + g**3/30 - 14*g. Find w, given that v(w) = 0.
-1, -2/5, 0, 1
Let t(l) be the third derivative of 1/6*l**3 - 1/120*l**6 + 1/24*l**4 + 0*l + l**2 - 1/60*l**5 + 0. Factor t(b).
-(b - 1)*(b + 1)**2
Suppose h = 6 - 7. Let z be 93/21 - (2 - h). Find y such that -z*y + 6/7*y**2 + 4/7 = 0.
2/3, 1
Let z(d) be the third derivative of -1/120*d**4 - 3*d**2 + 0 + 1/300*d**5 + 0*d + 0*d**3. Factor z(k).
k*(k - 1)/5
Let u(o) be the third derivative of -1/48*o**4 + 0 + 1/240*o**6 + 0*o - 1/12*o**3 + 1/120*o**5 + 2*o**2. Factor u(i).
(i - 1)*(i + 1)**2/2
Let u(x) be the second derivative of -x**4/28 - 3*x**3/7 + 8*x. Factor u(g).
-3*g*(g + 6)/7
Let c(l) = 2*l**3 - l + 1. Let y be c(2). Let g be (-2)/11 + y/22. Find x, given that 3/2*x**2 - g - x = 0.
-1/3, 1
Let v = 145 - 145. Factor 0*w + v*w**2 + 0 - 2/3*w**3.
-2*w**3/3
Let m = -1 - -7. Let 2*l**2 - 2*l**2 + m*l**2 - 4*l**2 = 0. What is l?
0
Let s(l) = 4*l**4 - l**3 + 3*l**2. Let r(m) be the third derivative of m**7/30 - m**6/60 + m**5/12 + 2*m**2. Let k(z) = 3*r(z) - 5*s(z). Factor k(y).
y**3*(y - 1)
Let v(s) be the second derivative of -1/6*s**3 + 1/20*s**5 + 0 + 6*s - 7/24*s**4 + 7/60*s**6 + 0*s**2. What is c in v(c) = 0?
-1, -2/7, 0, 1
Let g(x) = -x**3 - 6*x**2 + 6*x - 3. Let y be g(-7). Suppose 3*a - y*p - 32 = 0, -a = 2*p - 3 + 9. Factor a*c - c**2 - 5*c + 0*c.
-c*(c + 1)
Factor -3/4*s + 1/4*s**2 + 0.
s*(s - 3)/4
Let p(i) = -3*i**3 - 6*i**2 + 3*i + 2. Let d(n) = -6*n**3 - 12*n**2 + 6*n + 3. Let j = 21 - 12. Let h(z) = j*p(z) - 4*d(z). Factor h(b).
-3*(b - 1)*(b + 1)*(b + 2)
Let q(d) be the second derivative of -d**4/3 - 16*d**3/3 - 32*d**2 - 20*d. Factor q(j).
-4*(j + 4)**2
Suppose 2*i + 3*c - 75 = 126, 2*c = -3*i + 309. Factor -i*q**3 - 6 - 207/2*q**2 - 75/2*q**4 - 42*q.
-3*(q + 1)**2*(5*q + 2)**2/2
Factor -10*r**3 + 55/3*r**2 + 20/3*r - 20/3 - 15*r**4.
-5*(r + 1)**2*(3*r - 2)**2/3
Suppose -4*g - 2 = -10. Let -2/3*w**g - 4/3*w - 2/3 = 0. What is w?
-1
Let r(q) be the third derivative of 7*q**7/60 + 7*q**6/10 + q**5 + 2*q**4/3 - q**3/3 - 2*q**2. Let y(s) be the first derivative of r(s). Solve y(g) = 0.
-2, -2/7
Let i = -22 + 112/5. Let t = 312/55 + -58/11. Let -4/5*a + i*a**2 + t = 0. What is a?
1
Suppose 3 = -4*g + 5*g. Let l be -4*(g/(-2) + 1). Factor -h + 0*h - 2*h**l + 5*h.
-2*h*(h - 2)
Let 14*n**2 + 347*n**4 - 395*n**4 - 22*n**3 + 16*n**2 + 4*n = 0. Calculate n.
-1, -1/8, 0, 2/3
Let m(b) be the first derivative of b**3 - 9*b**2 + 27*b + 3. Factor m(v).
3*(v - 3)**2
Let j = 139 - 136. Let c(k) be the second derivative of -32/3*k**j + 5/21*k**7 + 16*k**2 + 0 + 23/15*k**6 + 2*k**5 - 4*k - 16/3*k**4. Factor c(s).
2*(s - 1)*(s + 2)**3*(5*s - 2)
Factor -37*w**3 - 35*w**3 + 68*w**3 + 4*w**2.
-4*w**2*(w - 1)
Let m(w) = 3*w**4 - 3*w**3 - 11*w**2 - 17*w. Let n(o) = 7*o**4 - 5*o**3 - 21*o**2 - 35*o + 1. Let i(p) = -9*m(p) + 4*n(p). Find q such that i(q) = 0.
-4, -1
Let g = -25 + 27. Suppose -10*t**2 - 6*t**2 - g + 13*t**2 + 5 = 0. Calculate t.
-1, 1
Let t(h) be the third derivative of h**8/420 + h**7/105 - h**6/90 - h**5/15 - 3