(u) = 0.
1, 2
Let x be 39/12 + 2/(-8). Let -5*q**2 + 2*q**2 - q - x*q**3 - q**4 + 0*q**4 = 0. What is q?
-1, 0
Let r = 1403/1860 + -2/465. Factor 1/2 + 1/4*t**2 + r*t.
(t + 1)*(t + 2)/4
Let d(f) = f**5 + f**4 + f**2 + f - 1. Let o(i) = -8*i**5 - 4*i**4 + 6*i**3 - 8*i**2 - 10*i + 10. Let a(v) = -20*d(v) - 2*o(v). Find k, given that a(k) = 0.
-1, 0
Let w(g) be the first derivative of -g**3/21 - 5*g**2/14 - 4*g/7 - 2. Factor w(u).
-(u + 1)*(u + 4)/7
What is i in 0*i - 2/11*i**3 + 0 + 2/11*i**2 = 0?
0, 1
Suppose -4*f + 2*x = -2*x - 4, 2*f + 5*x = 37. Suppose -4 + f = v. Factor -8/3*g**3 + 0*g**2 + 2/3 + v*g.
-2*(g - 1)*(2*g + 1)**2/3
Let l = 38 + -36. Determine m so that 8/3*m - 17/3*m**3 + 4/3 - 9*m**l + 14/3*m**4 = 0.
-1, -2/7, 1/2, 2
Let s(r) be the third derivative of r**10/75600 - r**8/5040 + r**6/360 + r**5/15 - 4*r**2. Let h(p) be the third derivative of s(p). Factor h(u).
2*(u - 1)**2*(u + 1)**2
Let k(j) = -j + 7. Let m be k(4). Let z be m - (51/9 + -3). Let 2/3*u - 1/3 - z*u**2 = 0. What is u?
1
Let t(v) be the first derivative of 3*v**5/80 - v**4/8 - v**3/8 + 3*v**2/4 + v + 3. Let q(k) be the first derivative of t(k). Factor q(s).
3*(s - 2)*(s - 1)*(s + 1)/4
Let n(a) = 22*a**2 - 15. Let m(z) = -10*z**2 + 7. Let s(d) = 7*m(d) + 3*n(d). Factor s(c).
-4*(c - 1)*(c + 1)
Let v(r) = -r**2 - 5*r - 2. Let l be v(-4). Find f such that 1 - l*f**3 - 6*f - 1 + 1 + 6*f**2 + 1 = 0.
1
Let a be (-3 + 1)*(-2 - 3). Suppose 2*s**3 + a - 2*s**2 + 10 - 18 - 2*s = 0. Calculate s.
-1, 1
Let u(p) be the second derivative of 0*p**2 + 1/42*p**4 + 0 - 2/21*p**3 + 5*p. Factor u(r).
2*r*(r - 2)/7
Let h = 1027 + -1027. Factor h*y + 1/6*y**2 - 1/6.
(y - 1)*(y + 1)/6
Let p(i) = -8*i**5 - i**4 + 11*i**2 + 8*i. Let w(q) = -9*q**5 + 12*q**2 + 9*q. Let m(u) = 6*p(u) - 5*w(u). Factor m(f).
-3*f*(f - 1)*(f + 1)**3
Let x(j) be the first derivative of 4*j**3/3 + 44*j**2 + 484*j + 64. Factor x(b).
4*(b + 11)**2
Let x(h) be the third derivative of h**8/60 + h**7/70 - 13*h**6/300 - h**5/20 - h**4/60 - 5*h**2. Solve x(q) = 0 for q.
-1, -2/7, -1/4, 0, 1
Let g(u) be the second derivative of -u + 0*u**4 + 0*u**3 + 0 - 1/2*u**2 - 1/600*u**6 - 1/300*u**5. Let v(m) be the first derivative of g(m). Factor v(z).
-z**2*(z + 1)/5
Let o(q) be the second derivative of q**4/4 + 2*q**3 + 6*q**2 + 7*q. Factor o(c).
3*(c + 2)**2
Let u = -6 - -8. Suppose 4*b - 11 = -3. Factor n + 3*n + 3*n**u - 5*n**b.
-2*n*(n - 2)
Let c(l) be the second derivative of 1/15*l**6 - 1/10*l**5 + 0*l**3 - l + 0*l**2 - 1/84*l**7 + 0 + 0*l**4. Factor c(r).
-r**3*(r - 2)**2/2
Suppose -3*i + 5*b = 4*b - 5, i = b + 5. Let z(r) be the third derivative of 0 - 1/12*r**4 + 0*r + 1/60*r**5 + i*r**3 - r**2. Let z(f) = 0. Calculate f.
0, 2
Let u(v) = v**2 - v - 1. Let h(s) = -11*s**2 + 5*s - 21. Let g(q) = h(q) - 5*u(q). Let o(b) = 3*b**2 - 2*b + 3. Let t(a) = -4*g(a) - 22*o(a). Factor t(z).
-2*(z - 1)**2
Let o be ((-1)/(-2))/((-8)/(-32)). Let l = 2/45 - -37/180. Determine g, given that 1/2*g**o - l*g**3 + 0 - 1/4*g = 0.
0, 1
Determine w so that -54*w + 18*w**2 + 18*w**2 + 216*w + 2*w**3 = 0.
-9, 0
Let o(b) be the second derivative of b**4/36 - b**3/9 - b**2/2 + 5*b. Find q such that o(q) = 0.
-1, 3
Let h be (-580)/210 + 2/(-10) + 3. Let x(d) be the third derivative of 0*d - 1/12*d**4 + 0 - h*d**7 + 0*d**3 + 7/60*d**6 - d**2 - 1/15*d**5. Factor x(z).
-2*z*(z - 1)**2*(4*z + 1)
Let w = -1 + 3. Factor 8*q**4 + 6*q**3 + 8*q**2 + 5*q**3 + w*q + 2*q**3 + 2*q**5 - q**3.
2*q*(q + 1)**4
Let s(l) = 5*l - 2. Let c be s(2). Let f(q) = -q + 10. Let a be f(c). Factor -1/4*g**3 + 3/4*g**a - 3/4*g + 1/4.
-(g - 1)**3/4
Let z be ((-9)/(-2))/((-15)/(-40)). Suppose -2*y - 2*y = -z. Factor 0 + 1/2*k - k**2 + 0*k**y - 1/2*k**5 + k**4.
-k*(k - 1)**3*(k + 1)/2
Find y such that -6/5*y**3 - 2/5*y**4 + 0 - 2/5*y - 6/5*y**2 = 0.
-1, 0
Let z(k) be the second derivative of -k**7/11340 + k**4/12 + k. Let p(q) be the third derivative of z(q). Factor p(m).
-2*m**2/9
Let p(b) = -2*b**4 - 14*b**3 - 20*b**2 - 12*b. Let x(w) = 10*w**4 + 71*w**3 + 99*w**2 + 60*w. Let h(j) = 22*p(j) + 4*x(j). Factor h(z).
-4*z*(z + 1)*(z + 2)*(z + 3)
Let w(p) = -p**2 - 5*p + 2. Let u(x) = -2*x**2 - 9*x + 3. Let i(r) = 3*u(r) - 5*w(r). Factor i(k).
-(k + 1)**2
Let y(l) be the third derivative of -1/30*l**5 - 1/60*l**6 + 0*l**3 + 0*l**4 + 0*l + 2*l**2 + 0. Find v such that y(v) = 0.
-1, 0
Let x(s) be the second derivative of s**5/5 - 5*s**4/3 + 14*s**3/3 - 6*s**2 - 15*s. Find z such that x(z) = 0.
1, 3
Suppose 2/5 - 2/5*u**3 + 6/5*u**2 - 6/5*u = 0. What is u?
1
Factor 2/3 - 1/3*g**2 + 1/3*g.
-(g - 2)*(g + 1)/3
Let m(u) be the first derivative of u**6/9 - 8*u**5/15 + u**4 - 8*u**3/9 + u**2/3 - 16. Suppose m(d) = 0. What is d?
0, 1
Let p be 11/3 + (-2)/(-6). Suppose -p*a + 4*c = 16 - 4, -5*a + 35 = 5*c. Factor -4*k**a - 2*k**5 + 4*k**3 - 4*k**3 + 2*k + 4*k**4.
-2*k*(k - 1)**3*(k + 1)
Determine c so that 6 - 5*c - 8*c + 22*c + 2*c**2 + 4*c = 0.
-6, -1/2
Let h(r) be the second derivative of r**4/72 + r**3/18 + r**2/12 + 7*r. Factor h(a).
(a + 1)**2/6
Solve 0*w**4 + 4*w**4 + w**3 + 477*w**5 - 474*w**5 = 0 for w.
-1, -1/3, 0
Suppose 14 = w - 4*h, -4*h + 21 - 5 = 4*w. Find f, given that -2*f**4 + 2*f**4 + 2*f**5 - w*f**5 + 4*f**3 = 0.
-1, 0, 1
Let x = -10 - -1. Let i be x/(-2) + (-3)/6. Factor -2*m**i - 15 - 2*m**2 + 15 + 4*m**3.
-2*m**2*(m - 1)**2
Let o(d) be the first derivative of 5*d**3/3 - 15*d**2/2 - 15. Factor o(j).
5*j*(j - 3)
Solve 3/2 - 1/8*n**2 + 1/2*n = 0 for n.
-2, 6
Let n(y) = 26*y**2 + 3*y + 2. Let b be n(-1). Determine z, given that 4*z**4 - 5*z - 12*z**2 - 3*z**4 + 3*z**4 - 8 - 4*z**3 + b*z = 0.
-2, 1
Suppose -2*b**2 + 4 - 1 + 6 - 7 = 0. What is b?
-1, 1
Let f(n) be the second derivative of -5*n**4/12 - 5*n**3/2 + 25*n**2 + 19*n. Factor f(o).
-5*(o - 2)*(o + 5)
Let y be 76/28 - (-4)/14. Suppose 3*u + 3 = 0, y*f - 1 = 4*f + 3*u. Find m, given that 2/5 + 4/5*m**4 + 2*m + 14/5*m**3 + 18/5*m**f = 0.
-1, -1/2
Suppose 8*k = 3*k. Suppose 0*d + 3*d = k. Factor d - 4/3*x**2 - 1/3*x.
-x*(4*x + 1)/3
Let g(m) = m**3 + 10*m**2 - m - 10. Let d be g(-10). Let i(c) be the first derivative of -2/3*c**3 + 2*c + d*c**2 - 2. Solve i(k) = 0 for k.
-1, 1
Factor 242/7*a**4 + 0 + 2/7*a**2 + 44/7*a**3 + 0*a.
2*a**2*(11*a + 1)**2/7
Let v be (-4)/((-12)/9) - -2. Suppose l = v*l. Solve -x**3 - 1/3*x**2 - 1/3*x**5 + l*x + 0 - x**4 = 0.
-1, 0
Let m be (-28)/(-6) - 6/9. Find o, given that 0 - m - 9*o**2 + 9*o - 1 + 2 + 3*o**3 = 0.
1
Let l(v) be the third derivative of v**6/30 - v**5/5 + v**4/2 - 2*v**3/3 - 18*v**2. Factor l(a).
4*(a - 1)**3
Let o(r) be the first derivative of r**6/27 + 2*r**5/45 - r**4/9 - 4*r**3/27 + r**2/9 + 2*r/9 + 20. Find j such that o(j) = 0.
-1, 1
Factor -1/3*y**4 + 0 - 1/3*y**2 + 0*y + 2/3*y**3.
-y**2*(y - 1)**2/3
Let a(x) be the second derivative of x**10/30240 - x**8/6720 - x**4/12 - 2*x. Let i(z) be the third derivative of a(z). Suppose i(w) = 0. Calculate w.
-1, 0, 1
Let m(t) = -t**2 - t + 2. Let j be m(0). Suppose 6 = -0*i + 3*i. Determine p so that 2 + 4*p - i*p**2 + 4*p**2 - 3*p**j + 3*p**2 = 0.
-1
Let c be -3 + (-7)/2*-1. Suppose -c*t**2 + 1/4*t**5 + 0*t**4 - t**3 + 1/2 + 3/4*t = 0. Calculate t.
-1, 1, 2
Suppose -m - u = 2 - 0, 0 = -5*m - 3*u - 6. Let r(t) be the first derivative of 1 - 1/8*t**2 + 1/12*t**3 + m*t. Factor r(o).
o*(o - 1)/4
Let j(i) be the second derivative of i**7/147 + i**6/105 - i**5/35 - i**4/21 + i**3/21 + i**2/7 + 3*i. Factor j(f).
2*(f - 1)**2*(f + 1)**3/7
Suppose -2*q + 20 = 4*i, -4*q - 4*i + 35 = 7. Let t(z) be the third derivative of -1/8*z**q + 0*z - z**2 - 1/60*z**5 + 0 - 1/3*z**3. Factor t(d).
-(d + 1)*(d + 2)
Let c(n) be the third derivative of n**6/360 + n**5/20 + 3*n**4/8 + 3*n**3/2 + 8*n**2. Factor c(d).
(d + 3)**3/3
Let h = 11 - 6. Let m be h/20 - (-50)/24. Suppose 7/3*d**4 - m*d**2 - 2/3*d**3 + 2/3*d + 0 = 0. Calculate d.
-1, 0, 2/7, 1
Let v(n) be the first derivative of 21*n**6/4 + 12*n**5/5 - 3*n**4/2 - 1. Factor v(r).
3*r**3*(3*r + 2)*(7*r - 2)/2
Let h be 7200/63 - 4/14. Solve 19 - 7*o + 99*o**4 - h*o**2 - 54*o**5 - 5*o + 75*o**3 + 5 = 0.
-1, -1/2, 2/3, 2
Suppose 2/3*p**2 - 1/3*p - 2/3*p**4 + 0 + 0*p**3 + 1/3*p**5 = 0. What is p?
-1, 0, 1
Let s be -1 + 2 - (-1)/(-1). Let u = 2 - s. Factor h + 6 - u*h - h**2 - 4.
-(h - 1)*(h + 2)
Let y