5*h**4 - 6*h**2 + 135*h**3 + 78*h**2 + 12*h + 20*h**4.
3*h*(h + 1)*(5*h + 2)**2
Factor 8/5*x - 18/5*x**2 - 2/5*x**4 + 12/5*x**3 + 0.
-2*x*(x - 4)*(x - 1)**2/5
Find z, given that 6*z - 2*z + 0*z - 2 - 5*z + z**2 = 0.
-1, 2
Let f(g) be the second derivative of 0*g**2 - g + 1/12*g**3 - 1/40*g**5 - 1/24*g**4 + 0 + 1/60*g**6. Factor f(w).
w*(w - 1)**2*(w + 1)/2
Let x(r) = -r - 1. Let f be x(-5). Determine b, given that f*b - 20*b**2 - b**5 - 24*b**4 + 74*b**4 + 5*b**3 + 4*b**5 + 18*b**5 = 0.
-2, -1, 0, 2/7, 1/3
Let y be (-252)/(-72) + (-118)/36. What is d in 2/9*d + 4/9 - y*d**2 = 0?
-1, 2
Let v be (3 - (5 + -2))*1. Let x(r) be the third derivative of 3*r**2 + v*r + 0 + 1/48*r**4 + 0*r**3 + 1/240*r**5. Let x(d) = 0. What is d?
-2, 0
Let h be ((-2)/2)/((-7)/14). Factor y**3 + h*y**2 - 3*y**3 + 6 + 2*y - 8.
-2*(y - 1)**2*(y + 1)
Factor 4/19*g - 10/19*g**2 + 0.
-2*g*(5*g - 2)/19
Factor 2*i**4 - 4*i + 4*i**3 + 86*i**2 - 3 + 9 - 94*i**2.
2*(i - 1)**2*(i + 1)*(i + 3)
Let j(w) be the third derivative of -w**7/840 - w**6/480 + 53*w**2. Factor j(b).
-b**3*(b + 1)/4
Solve -1/3*x**5 - 1/3*x**4 + 0*x + 1/3*x**3 + 0 + 1/3*x**2 = 0 for x.
-1, 0, 1
Let z(q) be the first derivative of -7*q**4/12 - 58*q**3/9 - 65*q**2/6 - 14*q/3 - 35. Factor z(g).
-(g + 1)*(g + 7)*(7*g + 2)/3
Let u = -4/9 + 116/99. Let h = u - 2/33. Factor -1/3 - 1/3*o**4 + 0*o + h*o**2 + 0*o**3.
-(o - 1)**2*(o + 1)**2/3
Suppose -i + 4*z = -14, 5*i + 9*z - 1 = 6*z. Let j(t) be the first derivative of 0*t**i + 2/7*t + 2 - 2/21*t**3. Determine k, given that j(k) = 0.
-1, 1
Determine x so that 6*x**2 + 4*x**5 - 4*x**2 + 6*x**4 - 6*x**3 - 6*x**5 = 0.
0, 1
Let y(b) be the third derivative of -b**7/210 - b**6/120 + b**3/6 - 3*b**2. Let l(u) = -8*u**4 - 10*u**3 + 4*u + 8. Let q(d) = l(d) - 6*y(d). Factor q(p).
-2*(p - 1)*(p + 1)**3
Factor 0 + 0*b**2 + 2/7*b**3 + 2/7*b**4 + 0*b.
2*b**3*(b + 1)/7
Let m be (-4)/(-14) + 132/28. Factor 2*w - 8*w**2 + 12*w**2 - 5*w - m*w.
4*w*(w - 2)
Suppose 0 + 0*o**3 - 1/2*o**2 + 1/2*o**4 - 1/4*o + 1/4*o**5 = 0. What is o?
-1, 0, 1
Let k(y) be the second derivative of 2*y**7/21 + 4*y**6/15 - 6*y**5/5 - 20*y**4/3 - 38*y**3/3 - 12*y**2 + 2*y + 19. Let k(o) = 0. What is o?
-2, -1, 3
Factor 4 + 1/2*n**3 + 1/2*n**5 - 5*n**2 - 2*n + 2*n**4.
(n - 1)**2*(n + 2)**3/2
Let v(s) be the third derivative of s**5/330 - 4*s**3/33 + 19*s**2. Factor v(r).
2*(r - 2)*(r + 2)/11
Let n(j) be the first derivative of -j**7/315 - j**6/90 + j**4/18 + j**3/9 + 5*j**2/2 - 4. Let d(g) be the second derivative of n(g). What is l in d(l) = 0?
-1, 1
Factor -9*l - 4 - 2 + 4*l**2 - 2*l**2 - 5*l**2.
-3*(l + 1)*(l + 2)
Let s(l) be the first derivative of l**6/720 - l**5/120 + l**3 + 5. Let k(o) be the third derivative of s(o). Let k(a) = 0. What is a?
0, 2
Let q(v) be the second derivative of -v**6/15 + v**5/4 + 5*v**4/12 - v**3/3 - 7*v. Let f(r) = -r**5 - r**4. Let j(c) = 3*f(c) + q(c). Find k such that j(k) = 0.
-2, -1, 0, 1/3, 1
Factor 3/5*d**4 + 6/5*d - 3/5*d**2 - 6/5*d**3 + 0.
3*d*(d - 2)*(d - 1)*(d + 1)/5
Factor 17*j**4 - 24*j**2 - 7*j**4 + 5*j**4 + 21*j**3 - 12*j.
3*j*(j - 1)*(j + 2)*(5*j + 2)
Suppose 2*k - 11 = -m, 3*k + 4*m = 8 + 21. Let v(h) be the second derivative of 0 + 0*h**2 + 1/60*h**5 - 1/18*h**4 + 3*h + 0*h**k. Solve v(y) = 0.
0, 2
Let p(i) be the first derivative of -4/7*i**3 - 2/35*i**5 - 1 - 2/7*i**4 - 4/7*i**2 - 2/7*i. Factor p(a).
-2*(a + 1)**4/7
Let k(v) = 7*v**2 + 2*v + 4. Let u(h) = -36*h**2 - 9*h - 21. Let i(d) = -21*k(d) - 4*u(d). Factor i(x).
-3*x*(x + 2)
Let y(n) be the second derivative of -n**6/105 + 2*n**5/35 - n**4/14 + 10*n. Determine c, given that y(c) = 0.
0, 1, 3
Let q(c) = -c**3 + 4*c**2 + 14*c - 12. Let k be q(6). Let 0*j + k - 2/7*j**2 = 0. Calculate j.
0
Let j(n) be the first derivative of n**7/2100 - n**6/300 + n**5/100 - n**4/60 - n**3/3 - 3. Let y(q) be the third derivative of j(q). Factor y(r).
2*(r - 1)**3/5
Let v be (-242)/(-40) + 10/(-400)*-8. Determine n so that 1 + 5*n**3 - v*n**4 + 21/4*n**2 - 5*n = 0.
-1, 2/5, 1
Suppose -4*y - 20 = -3*o, -3*o - 3*y + 2 = -4. Find r such that 6*r + 3*r**3 + 1/2*r**o + 2 + 13/2*r**2 = 0.
-2, -1
Factor 1/2*n**2 + 0*n + 1/2*n**4 + 0 - n**3.
n**2*(n - 1)**2/2
Factor -2/5*n**2 + 32/5*n - 128/5.
-2*(n - 8)**2/5
Suppose 4*m = -4*t + 32, 5*t + 0*m = 3*m. Solve v**4 - 2*v**5 - 5*v**4 - 2*v**t - v**5 + v**5 = 0 for v.
-1, 0
Let n(c) be the first derivative of -3*c**4/20 + 3*c**3/5 - 3*c**2/5 - 16. Factor n(u).
-3*u*(u - 2)*(u - 1)/5
Let b(k) be the second derivative of k**4/42 - 5*k**3/21 + 4*k**2/7 + 3*k. Determine x, given that b(x) = 0.
1, 4
Find k such that -1/6*k + 0 + 1/3*k**2 - 1/6*k**3 = 0.
0, 1
Suppose -6 = -2*q + 2. Suppose 3 = -q*y - 0*l + 3*l, -l - 1 = -2*y. Find t such that -3*t**2 + 3*t**2 - y*t**2 - 2*t**3 + 5*t**2 = 0.
0, 1
Factor 2/9*s**2 + 2/3 + 8/9*s.
2*(s + 1)*(s + 3)/9
Let x(s) = s**2 + 2*s + 3. Let h be x(-2). Suppose 0 = -2*i - h*i + 45. What is r in 4*r**2 - i*r**3 - 2 - r**2 + 2 = 0?
0, 1/3
Let p(j) be the second derivative of 2*j + 0 - 1/33*j**3 + 0*j**2 + 1/110*j**5 + 0*j**4. Determine w, given that p(w) = 0.
-1, 0, 1
Let n = -9 + 18. Suppose -7*h = -n*h + 6. Find t, given that -2/5*t**2 - 1/5 + 3/5*t**4 + 1/5*t**5 + 2/5*t**h - 3/5*t = 0.
-1, 1
Find b, given that 2*b - 2*b**4 - 38/3*b**3 + 12 - 62/3*b**2 = 0.
-3, -1, 2/3
Let g(p) = 2*p**4 - 3*p**3 + 6*p**2 - 5*p - 3. Let a(l) = -l**3 + l + 1. Let n(d) = 3*a(d) + g(d). Find w, given that n(w) = 0.
0, 1
Let l(t) be the second derivative of -9*t**5/140 - 5*t**4/14 - 9*t**3/14 - 3*t**2/7 + 4*t. Factor l(w).
-3*(w + 1)*(w + 2)*(3*w + 1)/7
Suppose -5*i + 6 = -9. Suppose 5*o = f + 7, o + 7 + 0 = i*f. Suppose -1/3*b - 2/3 + 1/3*b**o = 0. Calculate b.
-1, 2
Let w be (-2)/(-6) - (-15)/(-50). Let b(y) be the second derivative of 2*y - w*y**5 - 4/3*y**2 + 0*y**3 + 1/6*y**4 + 0. Suppose b(q) = 0. Calculate q.
-1, 2
Let o(k) be the second derivative of -k**6/6 + k**5/4 + 5*k**4/4 - 25*k**3/6 + 5*k**2 - 2*k. Factor o(p).
-5*(p - 1)**3*(p + 2)
Let d(r) be the third derivative of r**6/60 - 4*r**5/15 + 13*r**4/12 - 2*r**3 + 12*r**2 + 1. Factor d(x).
2*(x - 6)*(x - 1)**2
Let p = 262/513 - 9/19. Let m(i) be the third derivative of -p*i**3 - 2*i**2 + 0*i**4 + 1/270*i**5 + 0*i + 0. Find h such that m(h) = 0.
-1, 1
Suppose 13*q - 10*q = 6. Factor -10/3*j**q - 1/3 - 5/3*j - 5/3*j**4 - 10/3*j**3 - 1/3*j**5.
-(j + 1)**5/3
Factor 1168*f**2 - 1090*f**2 + 17 - 145 + 5*f**3 + 288*f.
(f + 8)**2*(5*f - 2)
Let m = -57 - -93. Factor -14*g**3 - 40*g + 6 - 22 - m*g**2 + 0*g**4 - 2*g**4.
-2*(g + 1)*(g + 2)**3
Let l(m) be the first derivative of -1/540*m**6 - 1 + 0*m**3 + 0*m + 0*m**4 - m**2 - 1/270*m**5. Let n(q) be the second derivative of l(q). Factor n(y).
-2*y**2*(y + 1)/9
Factor 36*t**3 - 10*t**4 - 20*t**3 + 14*t**5 - 20*t**3.
2*t**3*(t - 1)*(7*t + 2)
Let c = -16 - -16. Let p(n) be the first derivative of -1/14*n**4 - 2 + 1/7*n**2 - 2/35*n**5 + c*n + 2/21*n**3. Factor p(d).
-2*d*(d - 1)*(d + 1)**2/7
Let h(b) be the second derivative of b**7/42 + b**6/9 + b**5/20 - b**4/3 - 2*b**3/9 - 23*b. Suppose h(z) = 0. Calculate z.
-2, -1/3, 0, 1
Let s be ((-18)/15)/(8/(-20)). Let n be -2 + (s - -1)/2. Find g such that 3/4*g**2 - 1/4*g**3 + n*g - 1 = 0.
-1, 2
Let n(k) = 1. Let z(c) = -4*c**2 - 3*c + 6. Let t(a) = 6*n(a) - z(a). Factor t(x).
x*(4*x + 3)
Let p(d) be the third derivative of -7*d**5/20 - d**4 - d**3/2 - 3*d**2. Let p(f) = 0. Calculate f.
-1, -1/7
Let o = 13/42 + 5/14. Find z such that -4/3*z**2 + 2/3*z**5 + 0 + 4/3*z**4 - o*z + 0*z**3 = 0.
-1, 0, 1
Determine y, given that 9*y**2 + 4*y + 272*y**5 - 18*y**3 - 254*y**5 + 2*y - 21*y**4 - 18*y**3 = 0.
-1, -1/3, 0, 1/2, 2
Suppose 6 = -2*z - 0*z - 3*y, 5*z - 11 = -y. Factor -6*m - 2*m - m + 3*m**4 + 9*m**z - 6 + 3*m**2.
3*(m - 1)*(m + 1)**2*(m + 2)
Let t be (0 - (-4)/(-10))*(-225)/36. Find k, given that -25/2*k**2 + t*k**3 + 0 + 10*k = 0.
0, 1, 4
Solve 8/5*h + 2/5*h**2 + 8/5 = 0 for h.
-2
Let s be -1*4/(-6)*6. Let v(f) = f**2 - f - 1. Let b(c) = -3 + 0*c**2 - 2*c + 3*c**2 + 0 + 2*c**2. Let p(h) = s*v(h) - b(h). Factor p(x).
-(x + 1)**2
Let u = 15 - 21. Let k(h) = -h**5 + 3*h**4 + 3*h**3 - 7*h**2. Let t(c) = -c**4 - c**3 + c**2. Let i(f) = u*t(f) - k(f). Suppose i(j) = 0. Calculate j.
-1, 0
Let m(x) = -3*x + 12. Let w(d) = d - 4. Let n(s) = 4*