(z) = 0 for z.
-1/5, 1
Let o(z) be the second derivative of z**9/7560 + z**8/3360 - z**7/420 - z**6/72 - z**5/30 + z**4/12 + z. Let b(a) be the third derivative of o(a). Factor b(y).
2*(y - 2)*(y + 1)**3
Let b(r) be the second derivative of -r**7/42 + r**5/10 - r**3/6 - 17*r. Suppose b(p) = 0. Calculate p.
-1, 0, 1
Let p(n) be the third derivative of n**8/112 + n**7/35 - n**5/10 - n**4/8 + n**2 + 17. Suppose p(q) = 0. What is q?
-1, 0, 1
Let p(q) be the first derivative of -q**3/4 - 9*q**2/8 - 3*q/2 + 10. Factor p(o).
-3*(o + 1)*(o + 2)/4
Let b(k) be the first derivative of k**3/9 - k**2/3 - k + 8. Factor b(i).
(i - 3)*(i + 1)/3
Let g(z) = 6*z**2 - 4 - 5 + 0 + 0*z**2. Let h(w) = -7*w**2 + w + 10. Let t(k) = 4*g(k) + 3*h(k). Let t(i) = 0. What is i?
-2, 1
Let j(k) = -k**2 - 6*k - 3. Suppose -4*x - n - 19 = 0, -3*n - 2 = 2*x - x. Let u be j(x). Factor -2/3*g**3 + 0*g**u + 1/3*g**4 - 1/3 + 2/3*g.
(g - 1)**3*(g + 1)/3
Let b(z) = -z + 1. Let o be b(1). Let x(t) = -t**2 + t. Let r be x(o). Factor 0*d - 2/7*d**3 - 2/7*d**2 + r.
-2*d**2*(d + 1)/7
Let w = 70 + -20. Suppose -2*n + 4*n - w = 0. Factor 7*k**2 + n*k - 4*k**4 + 18*k**3 + 7*k**4 + 29*k**2 - k.
3*k*(k + 2)**3
Suppose 3*z + 5*l = -25, 5*z = z + 4*l - 44. Let c = z - -30. What is n in 2*n**3 - 4*n**4 - c*n + 2*n**5 + 20*n = 0?
0, 1
Let s(p) = -p**2 + p + 2. Let k be s(2). Suppose -10 = -5*t + 15, -z + t - 1 = k. Factor 30*n**2 - 30*n**2 - n**z + 4*n**4 + 2*n**3.
n**3*(3*n + 2)
Suppose 2*r = 5 + 1. Determine m, given that -9*m**4 + m**3 + m**r - m**3 + 3*m**2 - 7*m**3 = 0.
-1, 0, 1/3
Let r be (2 - (-11)/(33/18))/2. Factor -4/5*l**2 + 0 + 4/5*l**r + 2/5*l + 0*l**3 - 2/5*l**5.
-2*l*(l - 1)**3*(l + 1)/5
Let a(z) = -8*z + 46. Let k be a(5). Let x(t) be the second derivative of 2/3*t**4 + 4/15*t**k - 1/3*t**3 - t + 0 - 3/5*t**5 - 1/21*t**7 + 0*t**2. Factor x(w).
-2*w*(w - 1)**4
Let 0*c + 0 + 1/2*c**3 - 1/6*c**2 + 1/6*c**5 - 1/2*c**4 = 0. What is c?
0, 1
Let n(v) be the third derivative of v**8/90720 - v**7/22680 - v**5/60 - 3*v**2. Let y(b) be the third derivative of n(b). Factor y(t).
2*t*(t - 1)/9
Let u(v) be the third derivative of -1/24*v**4 + 0*v**3 - 1/30*v**5 - 2/105*v**7 + 7/120*v**6 + 3*v**2 + 0 + 0*v. Factor u(y).
-y*(y - 1)**2*(4*y + 1)
Let v(b) be the third derivative of b**8/112 + 3*b**7/35 + 11*b**6/40 + b**5/10 - 3*b**4/2 - 4*b**3 - 5*b**2. Let v(w) = 0. Calculate w.
-2, -1, 1
Determine k so that 1 + 2*k**3 - k**2 + 4*k - 3*k - 3*k**3 + 0*k**2 = 0.
-1, 1
Let b(n) = -9*n**2 + 12*n + 11. Let j(x) = -4*x**2 + 6*x + 6. Let z(g) = -3*b(g) + 7*j(g). Let i be z(7). Solve -8*f + f**2 + 3 + 5 + f**i = 0.
2
Let b be (-6)/15*(-5)/1. Let c be (-4)/18 - (-15)/27. Determine g, given that -1/3*g**b + c + 0*g = 0.
-1, 1
Let a(w) be the first derivative of -w**4/22 + 6*w**3/11 - 27*w**2/11 + 54*w/11 - 27. Suppose a(g) = 0. Calculate g.
3
Let z be 5 + 1 - 2 - 2. Let d = 4 - z. Find i such that 4*i + i**3 + 6*i**d - 11*i**3 + 20*i + 8 = 0.
-1, -2/5, 2
Let y = 15 + -9. Let s(d) = d**2 + 6*d. Let h(n) = 2*n**2 + 11*n. Let z(j) = y*h(j) - 11*s(j). Factor z(q).
q**2
Let g(m) be the first derivative of -5*m**3 - 35*m**2/2 - 10*m - 45. What is r in g(r) = 0?
-2, -1/3
Suppose -4*r**2 + 3 + 14*r + 3 + 2*r**3 + 14*r**2 = 0. Calculate r.
-3, -1
Let o = -2/249 + 2548/7221. Let q = o - -142/261. Factor q*z**4 - 2/9*z**2 + 0*z**3 + 0*z + 0.
2*z**2*(2*z - 1)*(2*z + 1)/9
Let b(g) be the third derivative of 0 + 0*g**3 + 0*g**4 + 0*g + 1/540*g**6 - 2*g**2 - 1/270*g**5. Suppose b(t) = 0. What is t?
0, 1
Let u(w) be the third derivative of w**7/210 - w**5/30 + w**3/6 - 23*w**2. Solve u(z) = 0.
-1, 1
Let n(d) = d**2 - 2*d. Let z be (1 + -4)/((-45)/30). Let s be n(z). Factor s - 98/9*a**5 + 2/3*a**3 - 40/9*a**2 - 8/9*a + 140/9*a**4.
-2*a*(a - 1)**2*(7*a + 2)**2/9
Let b(w) be the second derivative of w**6/75 + w**5/25 + w**4/30 - 13*w. Factor b(c).
2*c**2*(c + 1)**2/5
Let g(v) be the second derivative of 2/7*v**2 - 1/42*v**4 - 1/21*v**3 - 3*v + 0. Factor g(x).
-2*(x - 1)*(x + 2)/7
Let k(m) = -36*m**5 - 96*m**4 - 32*m**3 + 16*m**2 - 16*m. Let g(p) = 12*p**5 + 32*p**4 + 11*p**3 - 5*p**2 + 5*p. Let c(b) = -16*g(b) - 5*k(b). Factor c(n).
-4*n**3*(n + 2)*(3*n + 2)
Let j = 170/3 - 56. Let g(z) be the first derivative of j*z**3 - 2*z - 2 + 0*z**2. Factor g(c).
2*(c - 1)*(c + 1)
Let t(q) = -2*q**3 - 10*q**2 + 19*q - 7. Let x(r) = -r**3 + r**2 - r + 1. Let h(n) = -t(n) + 5*x(n). Factor h(z).
-3*(z - 2)**2*(z - 1)
Suppose -2*k - 3*k - 4*v = 2, -k - 2*v = 4. Let z(i) be the second derivative of -1/8*i**k + 0 - i - 1/80*i**5 + 1/48*i**4 + 1/24*i**3. Factor z(p).
-(p - 1)**2*(p + 1)/4
Let q = 2 - 8. Let b be (-18)/(-4)*(-4)/q. Determine x so that -4/5*x**2 + 6/5*x - 4/5*x**b - 2/5 + 6/5*x**4 - 2/5*x**5 = 0.
-1, 1
Let q(z) = 9*z**3 - 4*z**2 - 4*z. Let r(c) = 35*c**3 - 15*c**2 - 15*c. Let g(m) = -15*q(m) + 4*r(m). Find n, given that g(n) = 0.
0
What is a in 3/4*a**2 - 9/4*a + 1/4*a**4 + 5/4*a**3 + 0 = 0?
-3, 0, 1
Let j be 779/1045 + 2/(-10). Determine h so that -2/11*h**3 - 2/11 - j*h**2 - 6/11*h = 0.
-1
Let x = -87 + 91. Solve 10/3*y**2 + 4/3*y + 8/3*y**3 + 0 + 2/3*y**x = 0 for y.
-2, -1, 0
Let d(p) be the third derivative of p**6/480 - p**5/48 + 7*p**4/96 - p**3/8 + 7*p**2. Factor d(x).
(x - 3)*(x - 1)**2/4
Let f be (-4 - -3) + 9 + -2. Suppose 2*d**5 + 5*d - 4*d**2 + 4*d**4 - d - f*d = 0. Calculate d.
-1, 0, 1
Let c = 22 - 19. Suppose v - 3*b = -c, -4*b + 6*b = 2*v + 2. Suppose 2/9*p**3 + v*p + 0*p**2 + 0 = 0. What is p?
0
Let s(j) be the second derivative of -1/10*j**5 + 0 - 1/15*j**6 + 2*j + 1/21*j**7 + 1/6*j**4 + 0*j**2 + 0*j**3. Factor s(t).
2*t**2*(t - 1)**2*(t + 1)
Let q(v) = -v**3 - v**2 + 2. Let o be q(0). Find z such that 2/5*z**o + 2/5*z - 4/5 = 0.
-2, 1
Let n be 1 - (2 - (-2 + 5)). Let k be 1 - 1 - n - -4. Factor r + 2 - r**3 + 0*r - k*r**2 - r**3 + r.
-2*(r - 1)*(r + 1)**2
Let y be (-1)/(-3) - (-1)/((-18)/(-10)). Factor -2/9 + y*j**3 + 10/9*j - 16/9*j**2.
2*(j - 1)*(2*j - 1)**2/9
Let y = 0 + 0. Let g(k) be the third derivative of 0 + y*k + 1/12*k**4 + 0*k**3 - k**2 - 1/60*k**6 + 0*k**5. Factor g(i).
-2*i*(i - 1)*(i + 1)
Suppose n + 0 - 1/3*n**4 + 1/3*n**2 - n**3 = 0. What is n?
-3, -1, 0, 1
Determine x, given that -38/11*x**4 - 14/11*x**3 - 8/11 - 8/11*x**5 + 46/11*x**2 + 2*x = 0.
-4, -1, 1/4, 1
Let c(l) be the first derivative of l**4/4 + 2*l**3/3 + l**2/2 + 5. Let c(a) = 0. Calculate a.
-1, 0
Suppose 0 = 322*y - 352*y + 60. Factor 27/5*b**3 + 0*b + 3/5*b**y + 0 + 24/5*b**4.
3*b**2*(b + 1)*(8*b + 1)/5
Let x(u) be the second derivative of -u**4/12 + 5*u**3/18 - u**2/3 - 7*u. Factor x(s).
-(s - 1)*(3*s - 2)/3
Let p(k) be the first derivative of -21/2*k**2 - 6*k - 8*k**3 + 3 - 9/4*k**4. Factor p(l).
-3*(l + 1)**2*(3*l + 2)
Let y(c) be the first derivative of 49*c**5/15 - 35*c**4/6 - 199*c**3/9 - 46*c**2/3 - 4*c + 10. Factor y(u).
(u - 3)*(u + 1)*(7*u + 2)**2/3
Let t(l) = -4*l**2 - 3*l - 5. Let k(n) = -2 + 7*n - 2*n**2 + 1 - 1 - 9*n. Let u(d) = -5*k(d) + 2*t(d). Factor u(m).
2*m*(m + 2)
Let b be 170/51*(-66)/(-8). Let l = 29 - b. Determine m so that -1/2*m**3 + 1/2 + l*m**2 - 3/2*m = 0.
1
Let p(m) = -m + 6. Let l be p(5). Let s(u) be the first derivative of -l + 2/15*u**3 + 0*u - 2/5*u**2. Factor s(x).
2*x*(x - 2)/5
Let x = 86 + -171/2. Find m, given that 1 - x*m**4 + 3/2*m**2 + 1/2*m**3 - 5/2*m = 0.
-2, 1
Let g be 0/((-12)/(-66) + 20/11). Let s(p) be the second derivative of 0*p**2 + g + p + p**3 + 1/4*p**4. Factor s(t).
3*t*(t + 2)
Let z(r) = 4*r**2 - r + 1. Let v be z(1). Suppose -5*f = -2*m - 2, v*f + 3*m - 5*m = 0. Solve 2*s**f - 3*s**2 + 2*s**2 = 0 for s.
0
Let u(i) = 9*i**4 + 6*i**3 + 3. Let c(h) be the first derivative of 18*h**5/5 + 3*h**4 + 5*h - 5. Let q(f) = 3*c(f) - 5*u(f). Factor q(v).
3*v**3*(3*v + 2)
Let x be (-21)/9*(1 - (-16)/(-14)). Factor 0 + 0*y**4 - 1/6*y + x*y**3 - 1/6*y**5 + 0*y**2.
-y*(y - 1)**2*(y + 1)**2/6
Let d be (12/9)/(4/6). Let j(i) = -i**2 + 4*i. Let n be j(2). Factor -4*m**2 + 2*m**2 + d*m**n + m - 2*m**5 + m**5.
-m*(m - 1)**3*(m + 1)
Let i(b) = b**4 - b**3 + 3*b**2 + 3. Let t be (-12)/(-18)*18/(-4). Let r(q) = q**4 - q**3 + 2*q**2 + 2. Let y(s) = t*r(s) + 2*i(s). Factor y(k).
-k**3*(k - 1)
Let n be (-2)/(-4)*(-342)/(-133). Let f = -11/14 + n. Factor -1/2*m + 1/2*m**3 - f*m**4 + 1/2*m**2 + 0