or 4/7 + 6/7*n - 2/7*n**3 + 0*n**2.
-2*(n - 2)*(n + 1)**2/7
Let i = 4 + -1. Suppose 2*s - w - 7 = 0, -w + i*w = 5*s - 18. Find j, given that -1/4*j**3 - 3/4*j**2 + 1/4*j + 1/2*j**s + 1/4 = 0.
-1, -1/2, 1
Let u(o) be the second derivative of -o**6/120 - o**3/3 - 11*o. Let m(b) be the second derivative of u(b). Solve m(h) = 0.
0
Let z(o) = -2*o**3 + 2*o**2 + 2*o + 1. Let h(a) = -a - 1. Let b be h(0). Let q be z(b). Suppose 0 - 2/3*m**4 - 2/3*m + 2/3*m**2 + 2/3*m**q = 0. What is m?
-1, 0, 1
Let -6/5 + 1/5*c + 1/5*c**2 = 0. Calculate c.
-3, 2
Let j be (-18)/(-4) + (-1)/2. Suppose -4*a**3 - a**3 + a + j*a**3 = 0. What is a?
-1, 0, 1
Solve -2/9*n**2 - 578/9 - 68/9*n = 0.
-17
Let j = -53 + 53. Let d(v) be the third derivative of 1/30*v**5 + 1/60*v**6 - 1/12*v**4 + j*v**3 + 0*v - 1/105*v**7 + 0 - v**2. Find h, given that d(h) = 0.
-1, 0, 1
Let c(y) = -y**4 + y**3 + y + 1. Let s(v) = -3*v**4 + 2*v**3 + v + 1. Let r(w) = -3*c(w) + 3*s(w). Factor r(u).
-3*u**3*(2*u - 1)
Let n be (8/26)/(1 + -15). Let l = n - -103/546. Solve 0*c + l*c**3 - 1/3*c**2 + 0 = 0 for c.
0, 2
Let i = 93/2 - 46. Factor -1/2*r + 0 + 1/2*r**4 + 1/2*r**3 - i*r**2.
r*(r - 1)*(r + 1)**2/2
Let b(p) be the third derivative of p**7/105 + 7*p**6/180 + p**5/18 + p**4/36 + 2*p**2. Let b(z) = 0. Calculate z.
-1, -1/3, 0
Let r(y) = y**3 + 2*y**2 - 11*y - 8. Let i be r(-4). Solve -4/9*z**2 + 2/3*z**3 + 0 + 0*z - 2/9*z**i = 0.
0, 1, 2
Let l(c) be the first derivative of 5*c**3/2 - 24*c**2 + 18*c + 46. What is b in l(b) = 0?
2/5, 6
Let h = 1656/1169 - -2/167. Let b = -2 + 4. Factor h*i**4 + 4/7*i**2 + 0*i + 0 - b*i**3.
2*i**2*(i - 1)*(5*i - 2)/7
Suppose 5*c - 20 = c. Suppose c*j - 7 - 3 = 0. Suppose -4/3 + 2/3*w**j + 2/3*w = 0. Calculate w.
-2, 1
Let u(y) = -y + 4. Let o be u(2). Let k be 2 - (1 - 2) - 1. Factor -m**2 + 3*m**2 + o*m**5 - 2*m**3 + 0*m**2 - k*m**4.
2*m**2*(m - 1)**2*(m + 1)
Let d(w) be the third derivative of -2*w**7/105 + 2*w**6/15 - w**5/5 - 2*w**4/3 + 8*w**3/3 + 8*w**2. Determine u, given that d(u) = 0.
-1, 1, 2
Let o be (2/7)/((-2)/(-14)). Factor 5*y**3 - 2*y**5 - 4*y**3 + y**3 - 2*y**4 + 2*y**o.
-2*y**2*(y - 1)*(y + 1)**2
Let i be -6*1*(-4)/6. Let s(v) be the second derivative of v - 1/3*v**3 + 0 - 1/24*v**i - v**2. Factor s(w).
-(w + 2)**2/2
Let x(t) = -2*t - 4. Let k be x(-3). Factor -6 + 9*h**k - 2*h**3 + h - 3*h**4 + 2*h - h**3.
-3*(h - 1)**2*(h + 1)*(h + 2)
Let a(t) be the third derivative of 1/1155*t**7 + 0*t**3 + 0*t**4 - 1/330*t**5 - 1/660*t**6 + 3*t**2 + 1/1848*t**8 + 0 + 0*t. Factor a(n).
2*n**2*(n - 1)*(n + 1)**2/11
Determine o, given that 0 + 0*o**3 - 2/3*o**4 + 0*o + 2/3*o**2 = 0.
-1, 0, 1
Let k(d) be the second derivative of d**4/20 - d**3/3 + 3*d**2/10 + 13*d. Find t such that k(t) = 0.
1/3, 3
Let w(f) be the first derivative of -33*f**4/8 - 61*f**3/6 - 8*f**2 - 2*f + 4. Find y, given that w(y) = 0.
-1, -2/3, -2/11
Let w(y) be the second derivative of y**7/14 - 3*y**5/10 + y**3/2 + 19*y. Factor w(s).
3*s*(s - 1)**2*(s + 1)**2
Let l = -2 - -2. Suppose -24 = -2*g - 2*v + 3*v, l = g - 5*v - 12. Let g*x + 2*x**2 + 2*x**2 + 18 - 2*x**2 = 0. What is x?
-3
Let v(y) be the first derivative of -4*y**5/5 + y**4/2 + 4*y**3/27 + 43. Let v(o) = 0. What is o?
-1/6, 0, 2/3
Let t(h) be the third derivative of -1/42*h**5 + 1/28*h**4 + h**2 + 0 + 0*h + 2/21*h**3. Factor t(b).
-2*(b - 1)*(5*b + 2)/7
Let l be 1 - -5 - 4 - 2. Let m(q) be the second derivative of -1/48*q**4 + 1/120*q**6 + 0 - 1/24*q**3 + 1/80*q**5 + 3*q + l*q**2. Suppose m(f) = 0. What is f?
-1, 0, 1
Let j(c) be the first derivative of -c**8/3360 - c**7/560 - c**6/240 - c**5/240 + c**3 + 3. Let y(z) be the third derivative of j(z). Factor y(h).
-h*(h + 1)**3/2
Let t(h) be the first derivative of h**3 + 1 - 3/2*h**2 + 3/4*h**4 - 3*h. Suppose t(z) = 0. What is z?
-1, 1
Suppose -18 + 4 = -7*h. Let p(a) be the second derivative of 2/3*a**3 + 2*a**h + 1/12*a**4 + 0 - a. Factor p(m).
(m + 2)**2
Let s(c) be the first derivative of c**6/1440 - c**5/240 - c**4/32 + 2*c**3 + 6. Let d(q) be the third derivative of s(q). Factor d(y).
(y - 3)*(y + 1)/4
Factor 0 + 1/3*z**3 + 25/3*z - 10/3*z**2.
z*(z - 5)**2/3
Let j(n) be the first derivative of -2*n**3/3 + 8*n + 7. What is a in j(a) = 0?
-2, 2
Let t(n) be the third derivative of n**7/210 - n**6/20 + 3*n**5/20 - n**4/6 + 13*n**2 - n. Let t(b) = 0. Calculate b.
0, 1, 4
Let g = 16069/17 + -5119126/5423. Let r = g + 1/319. Suppose 0 + 60/11*l**5 - r*l**4 + 0*l**2 + 8/11*l - 54/11*l**3 = 0. What is l?
-2/3, -1/2, 0, 2/5, 1
Let i(q) be the first derivative of -1/24*q**4 - q**2 - 1/3*q**3 - 2*q - 1. Let y(x) be the first derivative of i(x). Factor y(c).
-(c + 2)**2/2
Let x(b) be the third derivative of -1/90*b**6 - b**2 + 0*b**3 + 0*b**5 + 0 + 0*b**7 + 0*b + 1/36*b**4 + 1/504*b**8. What is l in x(l) = 0?
-1, 0, 1
Let l(p) = 5*p - 15. Let j be l(4). Let t(x) be the first derivative of -1/8*x**2 - 1/6*x**3 + 0*x**4 + 1/10*x**j + 0*x + 1/24*x**6 - 2. Solve t(v) = 0 for v.
-1, 0, 1
Let g(o) be the third derivative of 0*o**5 - 1/840*o**8 + 0*o**7 + 0*o**3 - 1/60*o**4 + 1/150*o**6 + 3*o**2 + 0*o + 0. Factor g(z).
-2*z*(z - 1)**2*(z + 1)**2/5
Let x(r) be the second derivative of -3*r**7/8 - 29*r**6/40 + 9*r**5/80 + 9*r**4/16 - r**3/4 - 10*r. Let x(t) = 0. Calculate t.
-1, 0, 2/7, 1/3
Let z(g) = -14*g**2 - 22*g + 10. Let d(f) = -f**2 - f + 1. Let k(s) = -10*d(s) + z(s). Factor k(m).
-4*m*(m + 3)
Suppose -4*z + 9 = 5*r - 8, 5*z - 11 = 4*r. Let p(b) be the second derivative of 0 + 1/3*b**3 + z*b + 2/3*b**2 + 1/18*b**4. Factor p(k).
2*(k + 1)*(k + 2)/3
Let y(t) be the first derivative of t - 5/12*t**4 - 2 - 2*t**2 - 4/3*t**3 - 1/20*t**5. Let p(w) be the first derivative of y(w). Suppose p(i) = 0. Calculate i.
-2, -1
Let t = 2 + -1. Suppose 4*w + t = 3*c, 5 = 4*w - 0*w - c. Solve 2*p - p**w + 0 - p**2 + 2 - 2*p**3 = 0.
-1, 1
Find o such that 32/7*o - 2/7*o**2 - 128/7 = 0.
8
Let q be (1 + (-296)/280)/(1/(-5)). Solve -8/7*r - q*r**3 + 0 + 8/7*r**2 = 0 for r.
0, 2
Suppose 4*l = 2*l. Factor 1/5*b**3 + l + 1/5*b**2 - 2/5*b.
b*(b - 1)*(b + 2)/5
Let h(p) be the third derivative of p**8/168 - p**7/70 - p**6/60 + p**5/15 - p**3/6 - 6*p**2. Factor h(u).
(u - 1)**3*(u + 1)*(2*u + 1)
Let q be (3 + (-6)/2)/3. Factor 4/7*r**4 - 8/7*r**2 + 6/7*r**3 - 2/7*r**5 + q - 8/7*r.
-2*r*(r - 2)**2*(r + 1)**2/7
Suppose -i - 6 = 4*o + 4, -4*o = -4*i + 20. Factor 4*f**3 - f - 2*f**3 - f**5 + i*f - 2*f.
-f*(f - 1)**2*(f + 1)**2
Suppose 5*x + 58 = -2*a, 2*a = 3*x + 11 + 11. Let s be x/(-8) + (-3)/4. Factor 1/4*l + 1/4*l**3 + 0 + s*l**2.
l*(l + 1)**2/4
Let a(v) be the first derivative of -v**4/8 + v**3/6 + v**2 - 2*v - 23. Factor a(x).
-(x - 2)*(x - 1)*(x + 2)/2
Let z(n) be the second derivative of -n**5/30 + n**3/3 - 3*n**2/2 + n. Let w(v) be the first derivative of z(v). Solve w(l) = 0.
-1, 1
Let w be -2 + 8/1 - 2. Suppose -3*p = -3*c + 15, -3*p - 7 = -w*c + 15. Factor -a + c*a - 4*a - a**2 - 1.
-(a - 1)**2
Let f be 1/2 + -2*(-6)/(-36). Let j(m) be the second derivative of 0*m**2 + 0*m**5 - 1/15*m**6 - 2*m + 0*m**3 + f*m**4 + 0. Factor j(l).
-2*l**2*(l - 1)*(l + 1)
Let w be ((-30)/35)/((-6)/28). Solve -2*t**3 + 11*t - w*t**2 + 2*t**2 + 8*t + 8 - 11*t = 0.
-2, -1, 2
Let j be 45/60 + (9/4)/(-3). Solve -5/4*y**3 - y - 1/4*y**4 - 2*y**2 + j = 0.
-2, -1, 0
Suppose v + 20 = 5*v. Solve -4 + 12*j**4 + 0*j**5 - 10*j + 4*j**v + 8*j**3 - 2*j - 8*j**2 = 0 for j.
-1, 1
Let r(h) be the second derivative of -7/45*h**6 - 11/18*h**3 + 3*h - 1/42*h**7 + 0 - 2/3*h**4 - 13/30*h**5 - 1/3*h**2. What is q in r(q) = 0?
-1, -2/3
Let s(u) = u**3 + u**2 - u + 1. Let l(m) = -8*m**3 + 16*m**2 - 12*m - 4. Let b(o) = l(o) + 4*s(o). Factor b(y).
-4*y*(y - 4)*(y - 1)
Let c(p) = p**3 - p**2 + p + 1. Let i(b) = 2*b**3 - b**2 - 2*b - 1. Let q(t) = c(t) - i(t). Factor q(n).
-(n - 2)*(n + 1)**2
Let t(a) = a**2 - 8*a + 9. Suppose g + 3*g - 41 = -3*u, 0 = -5*u + 4*g + 15. Let h be t(u). Solve 0*y - 1 + 5*y**4 + h*y - 4*y**4 - 2*y**3 = 0 for y.
-1, 1
Let t(r) = -3*r**3 - 17*r**2 - 15*r + 15. Let j(i) = -3*i**3 - 17*i**2 - 14*i + 16. Let g(b) = 6*j(b) - 7*t(b). What is w in g(w) = 0?
-3, 1/3
Suppose -10 = -2*u + 3*i, i - 3*i = u + 2. Let l = 3/8 - 1/24. Determine z, given that l*z**3 - 1/3*z**5 + 0 + 0*z + 0*z**u + 0*z**4 = 0.
-1, 0, 1
Suppose -2/7*j**3 + 6/7*j**2