 5*y(i). Factor x(u).
-(u - 2)*(u - 1)*(u + 1)
Let o(l) be the third derivative of 3*l**2 - 1/120*l**6 + 0*l**3 - 1/24*l**4 + 0*l + 1/30*l**5 + 0. Determine c so that o(c) = 0.
0, 1
Let z(g) = -g**3 + g**3 - 3 - 5*g**2 + 5*g - g**3. Let c be z(-6). Factor 2*t - 2*t**2 - 4*t + 3*t**c + 2 - t.
(t - 1)*(t + 1)*(3*t - 2)
Let y(h) = 45*h**3 - 20*h**2 - 155*h + 155. Let z(a) = -11*a**3 + 5*a**2 + 39*a - 39. Let x(f) = 6*y(f) + 25*z(f). Let x(u) = 0. What is u?
-3, 1, 3
Let z = -64 - -129/2. Suppose 0 - i + z*i**2 = 0. What is i?
0, 2
Let u = -2 - -8. What is h in h**3 + h**4 + 3 - 4 - u*h**3 + 3*h**3 + 2*h = 0?
-1, 1
Let n(f) = 2*f**2. Let x(s) = -9*s**2. Let l(m) = 26*n(m) + 6*x(m). Factor l(u).
-2*u**2
Suppose 8*m - 2*m = 12. Suppose -4/3 + 4/3*x**3 + 2/3*x + 10/3*x**m = 0. Calculate x.
-2, -1, 1/2
Let f(o) = o**4 - o**2 - o. Let m(u) = -12*u**4 - 3*u**3 + 13*u**2 - 6 + u + 11*u + 5*u**2. Let p(a) = 9*f(a) + m(a). Let p(n) = 0. Calculate n.
-2, -1, 1
Let f(d) = -5*d**4 - 3*d**3 + 6*d**2 - 4*d - 4. Let k(u) = -14*u**4 - 8*u**3 + 18*u**2 - 12*u - 13. Let g(q) = 11*f(q) - 4*k(q). Solve g(z) = 0.
-2, -1, 2
Suppose 0 = 37*v - 39*v. Let h(y) be the first derivative of v*y - 10/9*y**3 - 2/3*y**2 + 3 + 7/6*y**4. Factor h(w).
2*w*(w - 1)*(7*w + 2)/3
Let h(t) = -14*t**3 + 2*t**2 + 9*t + 5. Let l(m) = -71*m**3 + 11*m**2 + 45*m + 26. Suppose -14 + 58 = 4*n. Let w(r) = n*h(r) - 2*l(r). Solve w(u) = 0.
-1/2, 1
Let m(b) = b**3 + 11*b**2 + 8*b - 14. Let a be m(-10). Suppose -4*i + 4*t + 8 = 0, -t = -a*t. Factor -2/5*q**3 - 2/5*q**4 + 2/5*q + 0 + 2/5*q**i.
-2*q*(q - 1)*(q + 1)**2/5
Let g(z) be the first derivative of 2*z**5/45 - 4*z**3/9 - 8*z**2/9 - 2*z/3 + 12. Solve g(t) = 0 for t.
-1, 3
Let h(u) be the first derivative of -u**3/3 + u**2/2 + 5. Let h(y) = 0. What is y?
0, 1
Let n(r) be the second derivative of -r**5/20 + r**4/6 + r**3/6 - r**2 - r. Factor n(u).
-(u - 2)*(u - 1)*(u + 1)
Suppose -5*i - 5 + 15 = 0. Solve -6*z - i*z - 2 - 5*z**3 - 6*z**2 + 2*z + 3*z**3 = 0.
-1
Suppose 5*s = 4*q + 14, 8*q = -2*s + 3*q - 1. Let a(t) be the first derivative of 1/3*t**3 + 0*t + 1/4*t**s + 1/8*t**4 - 1. Factor a(n).
n*(n + 1)**2/2
What is z in -z**3 + 10/3*z**4 + 1/3 - 11/3*z**2 + z = 0?
-1, -1/5, 1/2, 1
Determine k, given that 3*k**3 - 6 + 2*k - 13*k + 2*k = 0.
-1, 2
Let 5*n**2 + 1/3*n**5 - 7/3*n**3 + 6*n - n**4 + 0 = 0. What is n?
-2, -1, 0, 3
Let r(n) be the first derivative of -n**7/14 + n**6/5 - 3*n**5/20 - 2*n - 4. Let p(i) be the first derivative of r(i). What is c in p(c) = 0?
0, 1
Let i = 64 + -31. Let b = -33 + i. Let b*o + 1/3*o**2 + 0 + 1/3*o**3 = 0. What is o?
-1, 0
Factor -2/3 - 4/3*m**3 + 2/3*m**4 + 4/3*m + 0*m**2.
2*(m - 1)**3*(m + 1)/3
Let k(f) be the second derivative of 3*f**5/160 - 3*f**3/16 - 3*f**2/8 + 23*f + 1. Factor k(y).
3*(y - 2)*(y + 1)**2/8
Let t = 309 + -617/2. Factor u**2 + 0 + 1/2*u + t*u**3.
u*(u + 1)**2/2
Determine o, given that 2*o - 2*o**2 - 5*o**4 + 8*o**4 + 3*o**4 - 4*o**4 - 2*o**3 = 0.
-1, 0, 1
Factor 0 + 0*g**4 - 3/2*g**5 + 0*g**2 - 3/2*g + 3*g**3.
-3*g*(g - 1)**2*(g + 1)**2/2
Let s(t) be the third derivative of t**5/135 + 4*t**4/9 + 32*t**3/3 - 2*t**2 + 2. Solve s(o) = 0.
-12
Let x(l) be the first derivative of -l**6/30 + 6*l**5/25 - 13*l**4/20 + 4*l**3/5 - 2*l**2/5 + 13. Find w, given that x(w) = 0.
0, 1, 2
Let d be ((-8)/10)/((-5)/50). Factor -8 + 2*r + 2*r**2 + d.
2*r*(r + 1)
Factor -2 - 6*c**2 + 6*c - 4*c**3 + 0 + 6*c**3.
2*(c - 1)**3
Let d = 635/2 + -316. Suppose 0 - 1/2*f + 3/2*f**4 + 1/2*f**3 - d*f**2 = 0. Calculate f.
-1, -1/3, 0, 1
Let w(y) be the third derivative of 0 + 1/18*y**3 + 7/180*y**5 + 9*y**2 - 5/72*y**4 + 0*y - 1/120*y**6. Factor w(m).
-(m - 1)**2*(3*m - 1)/3
Factor 8/13*s**2 + 0 + 2/13*s**3 + 8/13*s.
2*s*(s + 2)**2/13
Let m(f) be the second derivative of -3*f**5/4 - 3*f**4 - 9*f**3/2 - 3*f**2 + 6*f. Let m(r) = 0. What is r?
-1, -2/5
Let q(z) be the first derivative of -z**4 - 8*z**3/3 - 2*z**2 + 6. Factor q(s).
-4*s*(s + 1)**2
Let j(y) = -1. Let f(x) = x + 9. Let r(i) = f(i) + 3*j(i). Let k be r(-6). Factor -2/3*s**3 + 2/3*s + 0*s**2 + k.
-2*s*(s - 1)*(s + 1)/3
Let l = -54 - -56. Factor -q + 1/2*q**l + 1/2.
(q - 1)**2/2
Let v(x) be the first derivative of -x**6/8 + 3*x**5/20 + 15*x**4/16 + 3*x**3/4 - 26. Factor v(r).
-3*r**2*(r - 3)*(r + 1)**2/4
Let q(s) be the first derivative of s**6/2 + 6*s**5/5 - 2*s**3 - 3*s**2/2 - 4. Find j such that q(j) = 0.
-1, 0, 1
Let l(x) be the second derivative of -1/8*x**2 - 1/40*x**5 + 0 - 1/40*x**6 + 1/84*x**7 + 0*x**3 + 1/12*x**4 + 7*x. Factor l(s).
(s - 1)**3*(s + 1)*(2*s + 1)/4
Let t = 61/12 - 19/4. Find b, given that 4/3 + t*b**2 - b**3 + 8/3*b = 0.
-1, -2/3, 2
Let l(n) be the third derivative of -n**5/180 + n**4/24 + 2*n**3/9 - 6*n**2. Determine k, given that l(k) = 0.
-1, 4
Let d = 5 - 2. Determine m so that 4*m**d - 2*m + 4 + 7*m**2 + 6*m**2 - 2 + 13*m = 0.
-2, -1, -1/4
Let r(g) be the second derivative of -g**5/20 + g**3/2 - g**2 + 3*g. Determine c, given that r(c) = 0.
-2, 1
Suppose -4/5*p + 0 - 2/5*p**2 + 6/5*p**3 - 2/5*p**5 + 2/5*p**4 = 0. Calculate p.
-1, 0, 1, 2
Suppose 25 = 3*a - 4*z - 7, -4*a - 5*z = 9. Let h(f) be the second derivative of 0 + 2*f + 1/18*f**a + 0*f**2 + 1/60*f**5 + 1/18*f**3. Factor h(i).
i*(i + 1)**2/3
Let f(c) be the second derivative of -c**6/90 - c**5/15 - 5*c**4/36 - c**3/9 - 15*c. Factor f(t).
-t*(t + 1)**2*(t + 2)/3
Solve -15*i + 2*i**2 + 0*i**2 + 19*i = 0 for i.
-2, 0
Suppose -2*h - 3*r = -1, 5*h + 5*r - 6 = 4. Let w = 5 - h. Let -2/5*q**2 + 2/5*q + w = 0. What is q?
0, 1
Let s(p) = -p**2 + 7*p - 7. Let o be s(5). Let r = 14 + -14. What is h in -1/4*h**4 - 1/2*h**2 + 0 + r*h + 3/4*h**o = 0?
0, 1, 2
Let b(v) be the second derivative of -25*v**5/12 - 325*v**4/12 - 40*v**3 - 70*v**2/3 + 36*v. Factor b(u).
-5*(u + 7)*(5*u + 2)**2/3
Let c be -1 + 0 + 12 + -2. Suppose -f + 3*t - c = -2*f, -2*f - 3 = -t. What is n in f*n**2 - 3*n**2 + 4*n**2 + n**3 = 0?
-1, 0
Factor -15*a**3 - 6*a**4 - 51/8*a**2 + 0 - 3/4*a.
-3*a*(a + 2)*(4*a + 1)**2/8
Factor -1/2*g**4 - 9/2 - 11*g**2 - 4*g**3 - 12*g.
-(g + 1)**2*(g + 3)**2/2
Suppose z - 28 = -13*z. Let d(c) be the first derivative of 2/9*c**3 - 1/6*c**4 + z + 0*c**2 + 0*c. Let d(g) = 0. Calculate g.
0, 1
Let o be -5*(-6*1)/3. Suppose -o*u - 6 = -13*u. Solve 1/3 + 0*n - 1/3*n**u = 0 for n.
-1, 1
Let x(l) be the second derivative of l**5/20 - l**4/8 + l**2 - 4*l. Let s(d) be the first derivative of x(d). Factor s(j).
3*j*(j - 1)
Factor -22/3*q + 4 + 4*q**2 - 2/3*q**3.
-2*(q - 3)*(q - 2)*(q - 1)/3
Let y(l) = 10*l**2 - 15*l + 7. Let j(h) = 1. Let o(q) = 2*j(q) - y(q). Solve o(s) = 0 for s.
1/2, 1
Factor 32/9*y**2 + 2/9*y**3 + 0 + 128/9*y.
2*y*(y + 8)**2/9
Suppose 0 = -o - 2*a, 3*o + 2*a + 3*a = 1. Find f, given that -4*f**2 + 2*f - 2*f**3 + f**2 - f**o + 4 = 0.
-2, -1, 1
Let a(d) be the third derivative of d**8/1848 - 2*d**7/1155 + d**6/660 - 7*d**2. What is b in a(b) = 0?
0, 1
Suppose -4/7*u - 6/7*u**2 + 0 - 2/7*u**3 = 0. Calculate u.
-2, -1, 0
Suppose -2*v - 19 = 5*f, 30 = v - 3*f + 12. Find m, given that 2/9*m**v + 2/9*m**2 + 0 + 0*m = 0.
-1, 0
Let x(l) be the second derivative of -l**8/6720 - l**7/2520 + l**6/360 - l**4/3 + l. Let i(t) be the third derivative of x(t). Factor i(o).
-o*(o - 1)*(o + 2)
Find h, given that -5/2*h**4 + 5/2*h**2 + 0*h - 5/2*h**5 + 0 + 5/2*h**3 = 0.
-1, 0, 1
Suppose -a = 2, 4*x + 3*a = a - 4. Factor -4/3*z**3 - 2/3*z**4 - 2/3*z**2 + x + 0*z.
-2*z**2*(z + 1)**2/3
Suppose 0 = a - 8 + 2. Let d = a + -4. Suppose q**3 - q + 5*q**d + 2*q - 3*q**2 = 0. Calculate q.
-1, 0
Suppose 0 = 6*p - 2*p. Let x(u) be the third derivative of 0 + 1/105*u**7 + p*u**3 + 0*u + 1/336*u**8 + u**2 + 1/120*u**6 + 0*u**4 + 0*u**5. Factor x(j).
j**3*(j + 1)**2
Let x(s) = s**3 - 9*s**2 + 2. Let m be x(9). What is f in -10/3*f + 4/3 + 0*f**m + 10/3*f**3 - 4/3*f**4 = 0?
-1, 1/2, 1, 2
Let l = 7 + 3. Let t = 10 - l. Let 1/4*x**2 + t + 1/4*x = 0. What is x?
-1, 0
Let p(a) be the second derivative of -a**5/90 - 11*a**4/27 - 121*a**3/27 - 3*a. Solve p(n) = 0 for n.
-11, 0
Let z(c) be the first derivative of -c**3/2 + 10. Find f, given that z(f) = 0.
0
Let o(h) be the first derivative of -h**6/2 + 3*h**5/5 + 3*h**4/4 - h**3 - 3. Factor o(k).
-3*k**2*(k - 1)**2*(k + 1)
Let g(z) = 2*z - 12. Let i be g(7). Let d(k) be th