et s(c) = -2*c - 7. Let o be s(-5). Suppose i + o*i + 2 + 2*i - 2*i + 2*i**2 = 0. What is i?
-1
Let b(y) = 30*y**5 + 74*y**4 - 14*y**3 - 74*y**2 - 16*y. Let w(g) = -g**5 - g**4 + g**3 + g**2. Let r(x) = -b(x) + 6*w(x). Let r(p) = 0. What is p?
-2, -1, -2/9, 0, 1
Let w(i) = 8*i**2 - 7*i - 4. Let o(f) = -7*f**2 + 6*f + 4. Let t be (7/(-3))/((-1)/3). Let y(c) = t*o(c) + 6*w(c). Solve y(q) = 0 for q.
-2, 2
Let k(v) be the first derivative of 0*v + 3/20*v**4 - 6 + 1/5*v**3 + 1/25*v**5 + 1/10*v**2. Determine m, given that k(m) = 0.
-1, 0
Let v(u) be the first derivative of 1/90*u**5 + 0*u + 1 + 4/9*u**3 - 3/2*u**2 + 1/9*u**4. Let f(p) be the second derivative of v(p). Factor f(y).
2*(y + 2)**2/3
Let f(t) be the second derivative of t**4/36 + t**3/9 + t**2/6 - 13*t. Factor f(m).
(m + 1)**2/3
Let b be (-6)/2*8/(-12). Suppose 5*y - b = -2*g, -4*y + 0 = -g + 1. Determine k so that -1/4*k - 1/4*k**2 + y = 0.
-1, 0
Suppose 7*o = 11 + 10. Factor -3/4*j - 1/4 + 1/4*j**2 + 3/4*j**o.
(j - 1)*(j + 1)*(3*j + 1)/4
Suppose -6*n - 61 = 29. Let v = 15 + n. Factor 0 + v*h + 2/3*h**2.
2*h**2/3
Let t(n) = -25*n**4 - 20*n**3 - 5*n**2 - 40*n - 30. Let j(b) = b**4 + b**2 + b + 1. Let g(h) = 30*j(h) + t(h). What is y in g(y) = 0?
0, 1, 2
Let a(i) be the second derivative of -4*i - 1/12*i**4 - 1/8*i**3 + 0 - 1/80*i**5 + 0*i**2. Factor a(d).
-d*(d + 1)*(d + 3)/4
Factor 97*h**3 - 16*h - 5*h**4 - 85*h**3 + h**4.
-4*h*(h - 2)**2*(h + 1)
Factor -3 + 6 + c**2 - 4.
(c - 1)*(c + 1)
Let n be 0/(4/6 - (-32)/(-12)). Solve 2/5*t**3 + n - 6/5*t**4 + 0*t - 8/5*t**5 + 0*t**2 = 0 for t.
-1, 0, 1/4
Let c(v) be the second derivative of -2*v**7/63 + v**6/5 - 7*v**5/15 + v**4/2 - 2*v**3/9 + 3*v. Let c(b) = 0. Calculate b.
0, 1/2, 1, 2
Let x(l) be the third derivative of -l**5/300 + l**4/120 + l**3/15 + 13*l**2. Factor x(s).
-(s - 2)*(s + 1)/5
Let o be -13*((-344)/(-960) - (-4)/(-10)). Let z(b) be the second derivative of 3/40*b**5 + 4/3*b**3 + b**2 + 0 + o*b**4 - 4*b. Factor z(d).
(d + 2)**2*(3*d + 1)/2
Let y(w) be the first derivative of -2*w**3/9 - 4*w**2/3 + 6. Determine h, given that y(h) = 0.
-4, 0
Let l(f) = 3 + 0 + 6*f**2 + 2*f + 1. Let o(q) = 2*q**2 + 0 - 3*q**2 + q + 0. Let j(m) = l(m) + 4*o(m). Factor j(k).
2*(k + 1)*(k + 2)
Let y(s) be the second derivative of s**4/60 - s**3/30 + 12*s. Determine o so that y(o) = 0.
0, 1
Let b = -4 - -7. Factor -2*u**b - u**2 - 3*u**2 - 2*u**3.
-4*u**2*(u + 1)
Let t be 2 + (-1 - (-1)/(-1)). Let b be 5 + -1 + 1/(-1). Determine w so that -2 + b*w**2 - w**2 + t = 0.
-1, 1
Let k(o) = o**2 + 1. Let y(m) = -m**3 - 2*m**2 + m. Let a(x) = -k(x) - y(x). Factor a(n).
(n - 1)*(n + 1)**2
Suppose -18*y + 108 + 3/4*y**2 = 0. What is y?
12
Let d(u) = 2*u**5 + 9*u**4 - 5*u**3 - 13*u**2 + 9*u + 19. Let f(k) = 5*k**5 + 19*k**4 - 10*k**3 - 25*k**2 + 17*k + 39. Let v(y) = 7*d(y) - 3*f(y). Factor v(i).
-(i - 4)*(i - 2)**2*(i + 1)**2
Suppose 0 = s - 3*h - 0 - 8, -4*s + 58 = h. Solve 8*y**4 - s*y**2 + 6*y**4 + 10*y**5 - 4*y + 0*y - 6*y**3 = 0 for y.
-1, -2/5, 0, 1
Factor 8*i + i**3 + i**2 - 1 + 0*i**2 - 9*i.
(i - 1)*(i + 1)**2
Let s(q) be the third derivative of -q**5/15 + 4*q**4/3 - 32*q**3/3 + 13*q**2. Factor s(i).
-4*(i - 4)**2
Let x be (-66)/(-1)*(-46)/(-207). Let -8/3 + x*c**3 - 8*c - 14*c**4 + 10*c**2 = 0. Calculate c.
-2/3, -2/7, 1
Let b(a) be the second derivative of 0*a**2 + 1/6*a**4 + 0 + 2*a + 2/3*a**3. Suppose b(z) = 0. What is z?
-2, 0
Let h(x) be the first derivative of -3/4*x**2 - 1 + 1/6*x**3 + x. Factor h(k).
(k - 2)*(k - 1)/2
Let g(v) be the third derivative of -2*v**7/105 - v**6/15 + v**5/15 + v**4/3 - 10*v**2. Factor g(k).
-4*k*(k - 1)*(k + 1)*(k + 2)
Find c, given that 2/3*c + 2/3 + 1/6*c**2 = 0.
-2
Let w(j) be the first derivative of 5*j**6/24 + 13*j**5/20 - j**4/16 - 17*j**3/12 - j**2/2 + j - 54. Solve w(d) = 0 for d.
-2, -1, 2/5, 1
Suppose w = 21 - 0. Suppose -3*j - 3*s + w = -0*j, s - 2 = 0. Factor 2 + 2*h - h**3 + 3*h**3 + 2*h**j - 4*h**2 + 2*h**4 - 6*h**3.
2*(h - 1)**2*(h + 1)**3
Let h(d) be the first derivative of 3*d**6/2 - 6*d**5/5 - 9*d**4/2 + 4*d**3 + 9*d**2/2 - 6*d + 7. Let h(i) = 0. Calculate i.
-1, 2/3, 1
Let i be (6 - 5)/(2/(-6)). Let b = 6 + i. Factor -b - w**2 + 0*w**2 + 1 - 3*w.
-(w + 1)*(w + 2)
Let c be ((-8)/12)/1*3. Let k(w) = -4*w**3 - 7*w**2 + w - 5. Let y(i) = i**3 + i**2 + 1. Let p(b) = c*k(b) - 10*y(b). Let p(r) = 0. What is r?
0, 1
Let w(q) be the third derivative of 0*q - 4*q**2 + 0 + 1/42*q**4 + 1/210*q**5 + 0*q**3. Factor w(b).
2*b*(b + 2)/7
Let p(c) be the third derivative of c**11/147840 + c**10/40320 + c**9/40320 - c**5/20 - 7*c**2. Let f(w) be the third derivative of p(w). Factor f(y).
3*y**3*(y + 1)*(3*y + 2)/4
Let h(y) be the second derivative of y**4/42 - 27*y. Let h(u) = 0. Calculate u.
0
Factor 0 + 7/2*m**3 - 2*m**4 - 1/2*m - m**2.
-m*(m - 1)**2*(4*m + 1)/2
Factor a - 4*a**2 - a**3 + a**2 + 3*a**2.
-a*(a - 1)*(a + 1)
Suppose 2*a - 2*g = a - 11, 5*a + 3 = -3*g. Let p be -1 - 14/8 - a. Factor 0*i - 1/4*i**5 + 0 + 1/4*i**3 + 1/4*i**2 - p*i**4.
-i**2*(i - 1)*(i + 1)**2/4
Let x(b) be the first derivative of -b**7/210 + b**6/90 - b**5/180 - 5*b**2/2 + 6. Let a(v) be the second derivative of x(v). Factor a(o).
-o**2*(o - 1)*(3*o - 1)/3
Let b be (0 - (-2)/(-84))/(41/(-164)). Let h(t) be the first derivative of -b*t**3 - 1 + 0*t + 0*t**2. Let h(y) = 0. What is y?
0
Let c be (5/(-60))/((-2)/6). Factor 1/4*z**3 - 1/4*z**2 - 1/4*z + c.
(z - 1)**2*(z + 1)/4
Let r be (-2*5/175)/(1/(-15)). Factor r*j**2 + 2/7*j + 0.
2*j*(3*j + 1)/7
Let f be (-1 - (-1)/(-1)) + 26. Suppose 24 - u**2 + 2*u - f = 0. Calculate u.
0, 2
Suppose 2*r - 34 = 4*z - 0*z, -3*z - 3 = 3*r. Let d = z - -9. Let -2/3*c**2 + 2/9*c + 0 + 2/3*c**d - 2/9*c**4 = 0. What is c?
0, 1
Let h(d) be the first derivative of -2/7*d**2 - 1/14*d**4 + 0*d - 2/7*d**3 - 2. Find q such that h(q) = 0.
-2, -1, 0
Determine n so that 2*n**3 - 101 + 47 + 58 - 4*n**2 - 2*n = 0.
-1, 1, 2
Let j(c) = -36*c**5 + 14*c**4 + 36*c**3 + 4*c**2 - 18*c - 18. Let k(l) = l**5 - l**4 - l**3 + l + 1. Let i(v) = 2*j(v) + 36*k(v). Suppose i(y) = 0. Calculate y.
-1, -2/9, 0, 1
Let z(h) be the third derivative of -1/60*h**6 + 0 + 1/12*h**4 - 2/105*h**7 + 1/10*h**5 - 1/3*h**3 + 2*h**2 + 0*h. Let z(r) = 0. Calculate r.
-1, 1/2, 1
Factor -1/4*j**2 + 1/2*j - 1/4.
-(j - 1)**2/4
Let z be 2/(2/20 - 6/(-15)). Solve -g**2 + 0 - 5/2*g**3 + 0*g + g**z + 5/2*g**5 = 0 for g.
-1, -2/5, 0, 1
Suppose q + q = 6. Suppose q*m - 6 + 0 = 0. What is i in 3*i**m - i**2 - i**2 = 0?
0
Let z(r) = r + 3. Let v be z(5). Let f be 4/v*(2 - 2). Factor 0*t - t**3 + 0*t**2 + 5/2*t**4 + f.
t**3*(5*t - 2)/2
Let y be 5/3 + 11/33. Let d be 0 + 5 + 0/y. Suppose -8/3*m**2 - 4/3*m**d + 3*m**4 - 1/3 - 2/3*m**3 + 2*m = 0. What is m?
-1, 1/4, 1
Let q be ((-156)/(-88))/3*-2. Let t = q + 127/33. What is u in -2/3 - 10/3*u - t*u**2 = 0?
-1, -1/4
Let p(r) be the third derivative of 0 - 1/36*r**4 - 2/9*r**3 + 1/45*r**5 + 1/180*r**6 + 0*r - r**2. Find q, given that p(q) = 0.
-2, -1, 1
Suppose 2*v - 8 = -4*t, 0*v - 2*t = -4*v + 6. Suppose 5*l = 2*l + 6. Factor -1 - b + 4*b**3 - 6*b**3 - 3*b**v + b**3 - l*b.
-(b + 1)**3
Let j(f) be the first derivative of -f**4/26 + 4*f**3/13 - 12*f**2/13 + 16*f/13 + 18. Factor j(t).
-2*(t - 2)**3/13
Let b = 11 - 9. Solve -b*n**2 - 8*n**5 + 3*n**5 + 7*n**3 - 2*n**5 + 2*n**4 = 0 for n.
-1, 0, 2/7, 1
Let u = 1759/9 + -195. Let w(n) be the first derivative of 2/27*n**3 + 1/3*n**2 - 1 + u*n. Determine f so that w(f) = 0.
-2, -1
Let r(n) be the first derivative of -2/5*n**2 - 3 + 0*n + 1/10*n**4 + 2/15*n**3. Let r(p) = 0. Calculate p.
-2, 0, 1
Let a(c) be the third derivative of -c**8/896 - c**7/140 - c**6/80 + 6*c**2. Factor a(t).
-3*t**3*(t + 2)**2/8
Let d(z) be the third derivative of z**5/60 + z**4/4 + 2*z**3/3 - 3*z**2. Let q be d(-6). Factor -4/9*t**q + 2/9*t**5 - 2/9*t + 0*t**3 + 4/9*t**2 + 0.
2*t*(t - 1)**3*(t + 1)/9
Let d(c) be the second derivative of -c**7/3360 + c**6/360 - c**5/96 + c**4/48 + c**3/6 - 2*c. Let j(i) be the second derivative of d(i). Factor j(q).
-(q - 2)*(q - 1)**2/4
Let w(f) be the second derivative of -f**4/6 - f**3/3 - f. Factor w(i).
-2*i*(i + 1)
Let c(u) = 9*u**3 - 10*u**2 - 27*u - 4. Let q(a) = -28*a**3 + 29*a**2 + 82*a + 11. Let p(k) = 7*c(k) + 2*q(k). Solve p(s) = 0.
-1, -2/7, 3
Let b(q)