d s, given that -9 + 6*s**2 + 32*s**4 + 2*s + 5 + 56*s**3 - 18*s + 6*s**v = 0.
-1, -1/4, 1/2
Let j = 6 - 2. Suppose j*l - t = -3*t - 4, -3*t = -3*l + 6. Factor 4 - 4*c + l*c**2 + 0*c**2 + c**2.
(c - 2)**2
Let f = -4073/3 - -1320. Let y = f - -38. What is g in -1/3*g**2 - y + 2/3*g = 0?
1
Factor -27/7 - 9/7*n**2 - 27/7*n - 1/7*n**3.
-(n + 3)**3/7
Let d be (-2)/(-4) - (-30)/4. Suppose -5*a + d = -12. Factor -a*c**3 + 2*c**2 - c + 0*c + 3*c**3.
-c*(c - 1)**2
Let u(w) be the second derivative of 2/15*w**3 + 0*w**2 + w + 1/30*w**4 + 0. Factor u(c).
2*c*(c + 2)/5
Let h(p) = -4*p. Let i be h(2). Let s be (-8)/(-40)*(-10)/i. Factor 3/4*m**3 - s*m**4 + 1/4*m + 0 - 3/4*m**2.
-m*(m - 1)**3/4
Suppose j + 10 - 21 = 0. Let a(y) = -54*y**2 + 36*y - 6. Let d(h) = 18*h**2 - 12*h + 2. Let q(b) = j*d(b) + 4*a(b). Factor q(r).
-2*(3*r - 1)**2
Let n(l) = -4*l**3 + 16*l**2 - 21*l. Let z(v) = -v**3 + 4*v**2 - 5*v. Let q(r) = -2*n(r) + 9*z(r). Find o such that q(o) = 0.
0, 1, 3
What is h in 2/5*h + 0 + 6/5*h**2 = 0?
-1/3, 0
Let r be (-16)/24 - 4*11/(-30). Factor -14/5*n**2 + r + 2*n.
-2*(n - 1)*(7*n + 2)/5
Let y(c) be the second derivative of -7*c**6/75 - c**5/25 + 3*c. Factor y(v).
-2*v**3*(7*v + 2)/5
Let y(m) be the second derivative of -m**6/150 + 3*m**5/50 + 2*m**4/5 + 13*m**3/15 + 9*m**2/10 + 9*m - 2. Let y(a) = 0. What is a?
-1, 9
Let l(m) be the third derivative of m**6/420 + m**5/210 - m**4/84 - m**3/21 + 7*m**2. Factor l(a).
2*(a - 1)*(a + 1)**2/7
Let m(n) be the second derivative of 1/36*n**4 - 1/6*n**3 + 0*n**2 + 1/540*n**6 + 0 + 1/90*n**5 + n. Let l(z) be the second derivative of m(z). Solve l(j) = 0.
-1
Factor 2*g**2 - g**3 + 3*g**3 + 2*g**3 + 2*g**4.
2*g**2*(g + 1)**2
Let i be 1*(-3 - ((0 - 7) + 2)). Factor 2/9*d**4 - 10/9*d**i - 4/9*d - 2/3*d**3 + 0 + 2/9*d**5.
2*d*(d - 2)*(d + 1)**3/9
Let m = -12 + 17. Let r = -3 + m. Factor -32*z - 8*z**3 - 24*z**r - 2 - 1 - z**4 - 13.
-(z + 2)**4
Let z(u) = -u**3 - 10*u**2 + 10*u - 7. Let r be z(-11). Factor -1/3*y + 1/3*y**3 + 0 - 1/3*y**2 + 1/3*y**r.
y*(y - 1)*(y + 1)**2/3
Suppose -4*w + 0 = -8. Let j be ((-32)/18)/(-4) - (-6)/27. Let -2/3 + 4/3*h - j*h**w = 0. Calculate h.
1
Let m(o) be the first derivative of o**3/21 + 3*o**2/7 + 9*o/7 + 7. Factor m(w).
(w + 3)**2/7
Let x(n) be the first derivative of n**6/12 - 3*n**4/8 - n**3/3 + 13. Factor x(b).
b**2*(b - 2)*(b + 1)**2/2
Factor 0 + 2/5*b + 1/5*b**2.
b*(b + 2)/5
Let n be ((-1)/21)/(48/28). Let g = 79/252 + n. Solve -2/7*d + 2/7*d**4 + 0 + 2/7*d**3 - g*d**2 = 0 for d.
-1, 0, 1
Let x(z) = 3*z**2 - 11*z - 5. Let c(i) = i**2 - 5*i - 2. Let g be (-2)/(-7) - 156/(-42). Let p(q) = g*x(q) - 10*c(q). Factor p(a).
2*a*(a + 3)
Let j(f) be the first derivative of -f + 1/70*f**5 + 0*f**4 + 0*f**2 + 0*f**3 - 1. Let v(o) be the first derivative of j(o). Suppose v(z) = 0. What is z?
0
Let v(x) = -2*x**2 + 38*x - 68. Let q(d) = -d + 1. Let t(o) = 36*q(o) + 2*v(o). Determine a so that t(a) = 0.
5
Let g(c) be the first derivative of c**6/6 + c**5 + 5*c**4/2 + 10*c**3/3 + 5*c**2/2 + c - 5. Solve g(y) = 0 for y.
-1
Suppose -5*u = -10*u + 10. Let p(v) = -5 + 0*v**u + v**2 + 2 + 2. Let b(m) = -2*m**2 + 4*m + 8. Let q(o) = b(o) + 8*p(o). Factor q(f).
2*f*(3*f + 2)
Let x(r) be the second derivative of r**7/4200 - r**6/400 - 3*r**4/4 - 2*r. Let m(o) be the third derivative of x(o). Suppose m(z) = 0. Calculate z.
0, 3
Let y be (-1)/(-2*(-3)/(-24)). Suppose 2*n + 5*n + 2*n**4 - 3 + 15*n**2 + y + 13*n**3 + 2*n**4 = 0. What is n?
-1, -1/4
Let m be (-15)/((-9)/3) - 240/50. Determine a, given that 1/5*a + m*a**2 + 0 = 0.
-1, 0
Suppose -6*v = 4*v - 4*v. Factor v + 0*x + 2/5*x**3 + 2/5*x**2.
2*x**2*(x + 1)/5
Let r(p) = 5*p**2 - 7*p - 1. Let y(h) be the third derivative of -h**5/15 + h**4/4 - 5*h**2. Let l(g) = 2*r(g) + 3*y(g). Determine w, given that l(w) = 0.
1
Let m(q) be the first derivative of q**6/6 - 3*q**5/5 + q**4/2 + 2*q**3/3 - 3*q**2/2 + q + 6. Suppose m(b) = 0. Calculate b.
-1, 1
Let n(h) be the first derivative of 9*h**4/16 - 19*h**3/4 + 9*h**2/4 - 17. Suppose n(o) = 0. What is o?
0, 1/3, 6
Let z(n) be the third derivative of -1/360*n**6 + 0*n + 0*n**3 - n**2 + 1/1008*n**8 - 1/630*n**7 + 0*n**4 + 0 + 1/180*n**5. Factor z(x).
x**2*(x - 1)**2*(x + 1)/3
Let h(w) = w**2 - 4*w - 1. Let u(b) = -3 + 4 - 2 - 4*b. Let t(g) = 3*h(g) - 4*u(g). Solve t(z) = 0.
-1, -1/3
Let w be 5/18*1110/357. Let d = w + -1/153. Suppose -2/7*f**2 - 4/7 + d*f = 0. Calculate f.
1, 2
Let l = -35/9 + 425/63. Determine w so that -l*w + 2/7 + 50/7*w**2 = 0.
1/5
Let d = 27/4 + -73/12. Factor -1/3*f**4 + 1/3*f**2 + d*f - 2/3*f**3 + 0.
-f*(f - 1)*(f + 1)*(f + 2)/3
Let z(h) = -h**3 + 13*h**2 - 20*h - 18. Let c be z(11). Factor 0*p**2 + 3/4 - 3/4*p**c - 3/2*p + 3/2*p**3.
-3*(p - 1)**3*(p + 1)/4
Suppose -r + 2 = 2*s, 7*r - 9*r - s + 4 = 0. Factor 0 - 1/5*h**r - 8/5*h**3 + 2/5*h - h**4.
-h*(h + 1)**2*(5*h - 2)/5
Let a(k) be the first derivative of -k**5/5 + 3*k**4/20 + 7*k**3/15 - 3*k**2/10 - 2*k/5 - 8. Suppose a(q) = 0. What is q?
-1, -2/5, 1
Let a be (8/10)/((-1)/(-90)). Let x = -358/5 + a. Solve 2/5*f**4 - x*f**2 + 0 + 0*f - 2/5*f**3 + 2/5*f**5 = 0 for f.
-1, 0, 1
Suppose 1/3*z**2 + 8/3*z - 3 = 0. Calculate z.
-9, 1
What is f in 1/2*f**4 + f**3 - 1/2*f**2 + 0 - 3/4*f**5 - 1/4*f = 0?
-1, -1/3, 0, 1
Let s(x) be the second derivative of x**4/12 - x**3/6 - x**2 + 8*x. Factor s(y).
(y - 2)*(y + 1)
Let g be 6/(-15) + 17/20. Let p(s) be the second derivative of -3*s + 1/6*s**4 + g*s**5 + 0*s**2 + 0*s**3 + 0 + 7/30*s**6. Factor p(t).
t**2*(t + 1)*(7*t + 2)
Suppose 3 = -4*d + 11. Factor 6*y**2 + 1 + d*y**3 + y**4 - 2*y**3 - 8*y**2.
(y - 1)**2*(y + 1)**2
Factor 14/5*y**5 + 6/5*y**3 + 24/5*y**4 + 0*y + 0 - 4/5*y**2.
2*y**2*(y + 1)**2*(7*y - 2)/5
Let g(x) be the first derivative of -x**7/189 + x**5/90 - 4*x - 2. Let n(u) be the first derivative of g(u). Factor n(t).
-2*t**3*(t - 1)*(t + 1)/9
Let r = 0 - -2. Suppose 4 = -5*g + 3*g + 4*x, 0 = -g - 3*x + 8. Factor 4*s**g + 2*s**3 + r*s - s + s.
2*s*(s + 1)**2
Let f(o) be the second derivative of o**5/4 - 5*o**4/4 - 10*o**3/3 + 73*o. Factor f(k).
5*k*(k - 4)*(k + 1)
Let t = -3 - -17. Let p = 16 - t. Factor -4/3 + 4/3*d - 1/3*d**p.
-(d - 2)**2/3
Let h(s) be the third derivative of s**8/840 - 2*s**7/525 + s**5/75 - s**4/60 + s**2. Factor h(f).
2*f*(f - 1)**3*(f + 1)/5
Let l(b) be the third derivative of b**6/60 + b**5/3 - b**4/12 - 10*b**3/3 + 9*b**2 + 4*b. Factor l(t).
2*(t - 1)*(t + 1)*(t + 10)
Let c(n) be the second derivative of -n**8/4200 + n**7/1050 - n**6/900 - n**3/2 + n. Let a(d) be the second derivative of c(d). Factor a(j).
-2*j**2*(j - 1)**2/5
Let y(f) be the third derivative of f**5/105 + f**4/84 - f**3/21 - 4*f**2. Factor y(i).
2*(i + 1)*(2*i - 1)/7
Let l(p) = p**2 - p. Let o(v) = 5*v**3 + 11*v**2 + 19*v + 5. Let j(d) = 4*l(d) + o(d). Find i, given that j(i) = 0.
-1
Let -4*w**2 + w**2 + w**2 - 8*w - 8 = 0. What is w?
-2
Suppose 21*k**3 + 2*k**5 + 27*k**3 - 83*k**3 + 4*k**2 + 29*k**3 = 0. Calculate k.
-2, 0, 1
Let t be 12/20 + (-34)/15 + 2. Let p(h) be the second derivative of 1/6*h**4 + 1/3*h**2 + 0 - 2*h - 1/30*h**5 - t*h**3. Factor p(x).
-2*(x - 1)**3/3
Let v(w) be the first derivative of 0*w**2 - 1/12*w**3 + 0*w - 1/16*w**4 + 5. Factor v(n).
-n**2*(n + 1)/4
Let h(m) be the first derivative of 1/20*m**5 + 0*m**2 + 1/6*m**4 - 1 + 1/6*m**3 - 2*m. Let u(i) be the first derivative of h(i). Solve u(f) = 0 for f.
-1, 0
Suppose -6 + 6 = -6*o. Let d(l) be the first derivative of o*l + 0*l**2 - 2/3*l**3 - 3. Let d(c) = 0. What is c?
0
Let o = 4 + 7. Let s(n) = -n**2 + 12*n - 6. Let p be s(o). Determine t, given that 1/2*t**p + 0*t**3 + t**2 + 0 - t**4 - 1/2*t = 0.
-1, 0, 1
Let v(b) = 136*b**2 - b. Let s be v(1). Let x = -941/7 + s. Find l, given that -x*l - 2/7 - 2/7*l**2 = 0.
-1
Let a(q) be the first derivative of q**4/10 + 4*q**3/15 - 3*q**2/5 + 25. Let a(j) = 0. What is j?
-3, 0, 1
Let n(i) be the first derivative of i**6/105 + 3*i**5/70 + i**4/14 + i**3/21 + 4*i + 2. Let j(a) be the first derivative of n(a). Factor j(t).
2*t*(t + 1)**3/7
Let w(u) = -2*u + 52. Let n be w(25). Factor 8/3*o + 2/3*o**n + 8/3.
2*(o + 2)**2/3
Let n = 220 - 217. Let z(l) be the first derivative of -2/35*l**5 + 5 + 2/7*l**2 - 1/7*l**4 + 2/7*l + 0*l**n. Solve z(h) = 0 for h.
-1, 1
Let t(y) be the t