- f**3/3 + 8*f. Factor p(r).
2*r*(r - 1)*(r + 1)
Let o be (6 + (-52)/8)/(3/(-2)). Let 0 + 2/3*m**4 + 0*m**3 + o*m - 2/3*m**2 - 1/3*m**5 = 0. Calculate m.
-1, 0, 1
Let t be 20/6*(-12)/10. Let v be (t/(-10))/((-1)/(-5)). Determine y, given that 0*y - 2/3 + 2/3*y**v = 0.
-1, 1
Let p(b) be the second derivative of b**6/90 - b**5/5 + 3*b**4/2 + b**3/2 + 8*b. Let o(l) be the second derivative of p(l). Factor o(i).
4*(i - 3)**2
Let k(u) = u. Let p be k(2). Suppose -5*n - 29/3*n**3 - 3*n**4 - 11*n**p - 2/3 = 0. What is n?
-1, -2/9
Let l(a) = 7*a**3 - 27*a**2 - 16*a - 11. Let m(p) = -4*p**3 + 14*p**2 + 8*p + 6. Let i(t) = 6*l(t) + 11*m(t). Factor i(o).
-2*o*(o + 2)**2
Let z(p) = -p - 6. Let q be z(-4). Let c be 9/(-36) - 1/q. Determine s so that -19/4*s**4 - 15/4*s**3 + 0 + 1/2*s - 7/4*s**5 - c*s**2 = 0.
-1, 0, 2/7
Let j = 1/15 + 3/5. Let p = 110 - 108. Factor -16/3 - 10/3*a**3 + j*a**4 + 4*a**p + 8/3*a.
2*(a - 2)**3*(a + 1)/3
Let p(b) be the second derivative of -b**7/15 - 3*b**6/20 - b**5/15 + 2*b**2 + b. Let y(f) be the first derivative of p(f). Factor y(h).
-2*h**2*(h + 1)*(7*h + 2)
Factor 10/3*f - 8/3*f**2 - 4/3 + 2/3*f**3.
2*(f - 2)*(f - 1)**2/3
Let j = 4369/24 + -182. Let w(d) be the second derivative of j*d**4 + 1/12*d**3 + 0*d**2 + 0 + d. Suppose w(c) = 0. Calculate c.
-1, 0
Suppose 2*c + 4*z = z + 16, 0 = -c - 3*z + 14. Determine g so that 0*g**2 - 3*g**3 + 2*g**2 + c*g**2 - 2*g**2 + g**5 = 0.
-2, 0, 1
Let k(j) be the third derivative of -2*j**7/315 + j**6/90 - 11*j**2. Factor k(d).
-4*d**3*(d - 1)/3
Let s = -21 - -24. Suppose -2/9*u**s - 2/3*u - 2/9 - 2/3*u**2 = 0. What is u?
-1
Let r be 17/4 - (-2)/(-8). Suppose 5*o + 2*v = 7*v - 20, o + r*v - 16 = 0. Find y such that -y**5 + o - 9/5*y**3 + 2/5*y - 1/5*y**2 + 13/5*y**4 = 0.
-2/5, 0, 1
What is i in 0 + 0*i + 1/10*i**5 + 3/10*i**3 + 3/10*i**4 + 1/10*i**2 = 0?
-1, 0
Let v(m) be the second derivative of m**5/50 + m**4/10 + m**3/5 + m**2/5 + m. Factor v(r).
2*(r + 1)**3/5
Let d(z) be the first derivative of 49*z**6/2 + 1386*z**5/5 - 207*z**4 + 40*z**3 - 3. Factor d(p).
3*p**2*(p + 10)*(7*p - 2)**2
Let b(l) = l - 7*l - 1 + 5 + 0*l. Let v(z) = z**2 + 25*z - 17. Let g(x) = -9*b(x) - 2*v(x). Factor g(c).
-2*(c - 1)**2
Determine g, given that 3*g**3 - 6 - 3*g + 6*g**2 + 0*g + 0*g = 0.
-2, -1, 1
Let x(r) = 2*r**3 + 21*r**2 + 26*r - 5. Let m be x(-9). Solve -1/3*o**3 + 1/3*o + 0 - 1/3*o**2 + 1/3*o**m = 0 for o.
-1, 0, 1
Let f be (-1)/(2*(-3)/90). Suppose 2*u - 9 = -q + 1, f = 3*u. What is g in -2*g**3 + g**2 + g**2 + q*g - 2 + 2*g = 0?
-1, 1
Let k = -181/76 - -50/19. Let -1/2 - 1/4*c + k*c**2 = 0. What is c?
-1, 2
Let s be ((-332)/(-12))/(2/6). Let y = 253/3 - s. Let 5*n**2 - 4*n - 7*n**4 + 22/3*n**3 - y = 0. What is n?
-2/3, -2/7, 1
Solve 8/3 + 8/3*v + 2/3*v**2 = 0.
-2
Let u = -12 + 15. Factor -4*o**2 + 2*o**5 + 13*o**2 - 6*o**u - 5*o**2.
2*o**2*(o - 1)**2*(o + 2)
Let x(j) be the second derivative of -j**7/378 + j**6/90 - j**4/27 - 13*j. Factor x(d).
-d**2*(d - 2)**2*(d + 1)/9
Let x(t) = 2*t**5 - 6*t**4 - 2*t**3 + 14*t**2 + 12*t + 4. Let w(c) = -c**5 + 7*c**4 + 3*c**3 - 13*c**2 - 12*c - 4. Let p(l) = -6*w(l) - 5*x(l). Factor p(g).
-4*(g - 1)*(g + 1)**4
Find b, given that -8/7 + 2/7*b**2 + 0*b = 0.
-2, 2
Let a(r) be the first derivative of -4*r**4/3 - 4*r**3/3 + 6*r**2 - 8*r/3 + 16. Determine p so that a(p) = 0.
-2, 1/4, 1
Let a(i) = -14*i**2 - 5*i**4 + 13*i**4 + 5 + 5*i**3 + i + 5*i. Let m(c) = -9*c**4 - 6*c**3 + 15*c**2 - 6*c - 6. Let f(w) = -6*a(w) - 5*m(w). Factor f(j).
-3*j*(j - 1)**2*(j + 2)
Let p(c) be the second derivative of -2/21*c**7 + c + 1/3*c**4 + 0*c**2 + 1/2*c**5 + 0*c**3 + 1/15*c**6 + 0. Let p(v) = 0. What is v?
-1, -1/2, 0, 2
Let v(q) = -11*q**4 + 20*q**3 + q**2 - 5*q - 5. Let y(t) = -5*t**4 + 10*t**3 + t**2 - 3*t - 3. Let s(m) = -3*v(m) + 5*y(m). Factor s(h).
2*h**2*(h - 1)*(4*h - 1)
Solve 3*t**3 - 59*t + 53*t - 3*t**4 + 9*t**2 + 3*t**5 - 6*t**4 = 0.
-1, 0, 1, 2
Factor 8*s - 90*s**2 - 6*s**4 - 3*s**5 - 5*s + 96*s**2.
-3*s*(s - 1)*(s + 1)**3
Suppose 6*a = 4*a + 6. Let p = -2 + a. Factor 2*s**2 - 2*s + 1 - 2 + p.
2*s*(s - 1)
Let i(y) = 8*y**2 - y. Let o be i(-1). Let -6*w**2 - 4 + o*w + 3*w**2 - 2 = 0. What is w?
1, 2
Let z(g) be the third derivative of g**5/135 + g**4/18 - 8*g**3/27 - 2*g**2. Factor z(x).
4*(x - 1)*(x + 4)/9
Let t be (-1 - 8)*1/(-3). Factor 3*f**4 - 4 - 32*f**2 - 4*f**4 - 6*f**4 - 2*f**5 - 5*f**4 - 18*f - 28*f**t.
-2*(f + 1)**4*(f + 2)
Suppose 69*k**2 + 21*k**3 - 7 + 9 - 48*k**5 + 27*k + 2 - 1 - 72*k**4 = 0. Calculate k.
-1, -1/4, 1
Let m be 6/(-15)*(-20)/12. Suppose 2*k = -3*k. Factor 0*z - m*z**3 + 4/3*z**5 + 2/3*z**4 + 0 + k*z**2.
2*z**3*(z + 1)*(2*z - 1)/3
Let x = 4 + -2. Find a, given that -x*a**2 - 1 + 0*a + 3*a**2 + a**2 - a = 0.
-1/2, 1
Suppose 5*q + 6*b - 26 = 3*b, 0 = q + 3*b - 10. Let s(c) be the first derivative of -2/5*c**5 + 1 - 2*c**3 + 0*c + c**2 + 3/2*c**q. Solve s(n) = 0.
0, 1
Suppose -z - 12 = z. Let h be (z - 0)/(4/(-1)). Suppose 1 - 1/2*x**3 + h*x + 0*x**2 = 0. What is x?
-1, 2
Let g = -11 + 14. Suppose -5*j + 10 = -g*j. Solve 0*b - 4/3*b**4 + 2*b**j + 0*b**3 + 0*b**2 + 0 = 0.
0, 2/3
Let y(g) = -g**4 + g + 1. Let x(i) = 16*i**4 + 2*i**3 - 14*i - 14. Let d(l) = -2*x(l) - 28*y(l). Determine w so that d(w) = 0.
-1, 0
Let n(w) be the second derivative of -w**6/9 + 7*w**5/30 + w**4 - 28*w**3/9 + 8*w**2/3 + 19*w. Suppose n(m) = 0. Calculate m.
-2, 2/5, 1, 2
Suppose 0 + 0*f + 1/3*f**4 + 1/3*f**2 + 2/3*f**3 = 0. What is f?
-1, 0
Let j(k) be the first derivative of k**3 - 3*k**2 + 3*k + 8. Solve j(w) = 0 for w.
1
Let d = 16 + -26. Let y = -8 - d. Factor -1/4*o**y + 0*o + 1/4.
-(o - 1)*(o + 1)/4
Let u(i) be the first derivative of i**5/150 - i**4/30 + i**3/15 - i**2 + 7. Let x(m) be the second derivative of u(m). Factor x(q).
2*(q - 1)**2/5
Let t be 3 - (-15 - 4/(-4)). Let v = -14 + t. Find c, given that 0*c - 2/9*c**4 + 4/9*c**2 + 0 - 2/9*c**v = 0.
-2, 0, 1
Let p be 54/8 - 2/(-8). Suppose d - 5*j = p + 21, -2*d - 4*j = 14. Factor 1/2*o + 1/2*o**5 - 2*o**2 + 0 + d*o**3 - 2*o**4.
o*(o - 1)**4/2
Let o(l) be the second derivative of -l**4/36 + 2*l**2/3 + 4*l. Suppose o(y) = 0. What is y?
-2, 2
Let a(g) be the second derivative of g**6/90 + g**5/60 - g**4/12 - 5*g**3/18 - g**2/3 + 11*g. Factor a(d).
(d - 2)*(d + 1)**3/3
Let i = -16 - -18. Let w(a) be the second derivative of -1/3*a**3 + 1/10*a**5 + i*a + 1/6*a**4 + 0 - a**2. Find s, given that w(s) = 0.
-1, 1
Let v = 3253/20 - 1447/5. Let n = -126 - v. Factor 1/2 - n*w**2 - 1/4*w.
-(w + 1)*(3*w - 2)/4
Determine m, given that 18 - 28 - 15*m**3 - 45*m**2 - 5*m**2 - 45*m = 0.
-2, -1, -1/3
Let d = -17/8 - -19/8. Factor -d*u**2 - 1 - u.
-(u + 2)**2/4
Let j(f) be the first derivative of 7*f**3/9 + f**2/3 + 5. Solve j(u) = 0 for u.
-2/7, 0
Let r be (-3)/(-46)*(-5 + 9). Let x = 88/161 - r. Factor x*c**2 + 0 + 4/7*c**3 + 2/7*c**4 + 0*c.
2*c**2*(c + 1)**2/7
Let f = 11/7 + 169/35. Factor 2/5*u**2 - 16/5*u + f.
2*(u - 4)**2/5
Let q be ((-12)/(-70))/(6*(-1)/(-42)). Determine y so that -2/5 + 0*y + q*y**2 + 4/5*y**3 = 0.
-1, 1/2
Let d(z) = 3*z - 9. Let k be d(6). Let x be (3/1)/(k/15). Factor 4/7*h**3 - 2/7*h**x + 2/7 - 4/7*h**2 + 2/7*h**4 - 2/7*h.
-2*(h - 1)**3*(h + 1)**2/7
Let s(n) = -16*n**5 - 12*n**4 + 10*n**3 + 22*n**2 - 4*n + 10. Let i(c) = -5*c**5 - 4*c**4 + 3*c**3 + 7*c**2 - c + 3. Let t(o) = -20*i(o) + 6*s(o). Factor t(j).
4*j*(j - 1)*(j + 1)**3
Let v be (-13)/(-3) - (-1)/(-3). Suppose 3*l + 3*x = 6, 5*l = 2*l - v*x + 6. Factor 2*a**4 + a + a + 8*a**2 - 2*a**l + 6*a**3.
2*a*(a + 1)**3
Suppose m - 1 = -2*w, 2*w - w - m - 5 = 0. Let 6*q**4 - 2*q**w - 5*q**2 - 3*q**4 + 4*q**2 = 0. What is q?
-1, 0, 1
Let s(k) be the second derivative of k**5/5 - k**4/3 - 11*k. Suppose s(f) = 0. Calculate f.
0, 1
Let x(b) be the second derivative of b**7/560 - b**6/240 - b**3/3 + 2*b. Let w(n) be the second derivative of x(n). Factor w(k).
3*k**2*(k - 1)/2
Let y(s) be the second derivative of 1/27*s**3 + 7*s + 0*s**2 + 0 - 1/54*s**4. Factor y(i).
-2*i*(i - 1)/9
Suppose 0 = 3*b - 5*b + 6. Let t(r) be the first derivative of -2 + 2/7*r**2 - 2/7*r - 2/21*r**b. Factor t(a).
-2*(a - 1)**2/7
Let n be 6 - (2 - 1) - 1. Determine s so that s**2 - 3/2*s**n + 1/2 + 3/2*s - 1/2*s**5 - s**3 = 0.
-1, 1
Factor 24*d**2 + 8/3*d**4 - 2/9*d**5 + 0 - 