u(w).
-w*(w - 1)**2*(w + 1)/9
Let f be 91/(-1430) - 1/(-5). Let c = f - -4/11. Determine u so that -1/2*u**3 + c*u + 0 + 0*u**2 = 0.
-1, 0, 1
Let f(b) = 120*b**3 - 42*b**2 - 120*b + 57. Let z(l) = 17*l**3 - 6*l**2 - 17*l + 8. Suppose 9 = j + 24. Let u(v) = j*z(v) + 2*f(v). What is h in u(h) = 0?
-1, 2/5, 1
Let c be -2 + ((-45357)/(-1980))/13. Let m = 2/165 - c. Factor -3/4*t**2 + 0 + m*t + 3/4*t**3 - 1/4*t**4.
-t*(t - 1)**3/4
Suppose -z - 10 = -h, -3*h - 6*z + 14 = -z. Let b(t) = -t**3 + 8*t**2 + 2. Let p be b(h). Find y, given that -4/7*y - 2/7*y**p + 2/7*y**3 + 0 = 0.
-1, 0, 2
Let i(x) be the first derivative of 0*x + 2/9*x**2 + 1/18*x**4 + 2 + 2/9*x**3. Factor i(y).
2*y*(y + 1)*(y + 2)/9
Suppose 0*z = -z + 3. Let v be (-1 + z)/(6/9). Factor 5*h**v + 0*h**3 - 1 - 4*h**3 - h + h**2.
(h - 1)*(h + 1)**2
Let y = 3 - 1. Let t(z) = z + 9. Let u be t(-9). Factor 1/4*i**4 + 0*i + u - 1/4*i**y + 0*i**3.
i**2*(i - 1)*(i + 1)/4
Let j(l) be the third derivative of 0 + 1/840*l**7 - 1/1344*l**8 - 1/96*l**4 - 1/120*l**5 - 4*l**2 + 1/240*l**6 + 0*l + 1/24*l**3. Factor j(f).
-(f - 1)**3*(f + 1)**2/4
Determine b, given that 32 - 75*b**3 + 3 - 3 - 16*b - 8*b**2 + 79*b**3 = 0.
-2, 2
Let v = 38/11 - 141/44. Suppose 1/2 + 1/4*h - v*h**2 = 0. What is h?
-1, 2
Let f be 4 + 0 + -1 + 0. Suppose 0 = 6*h - 3 - 9. Find w such that 8*w**h + f*w**3 - w**3 + 10*w + 4 + 0 = 0.
-2, -1
Let s be 2/3 - 26/(-6). Suppose -s*g - m + 1 + 12 = 0, g = 3*m - 7. Factor 2/9*d**g + 0*d - 4/9*d**3 + 2/9*d**4 + 0.
2*d**2*(d - 1)**2/9
Factor 4 + 13*c**3 + 14*c**3 - c**2 - 4*c - 46*c**3 + 20*c**3.
(c - 2)*(c - 1)*(c + 2)
Suppose -10 - 10 = -2*d. Let m be (-15)/d*(-16)/6. Factor 0 - 1/2*r**5 + 0*r - r**m - 1/2*r**3 + 0*r**2.
-r**3*(r + 1)**2/2
Let r(v) be the first derivative of -v**3/3 - 7*v**2/2 - v - 12. Let x be r(-6). What is w in 15/4*w**x + 0*w + 0 + 3/2*w**2 + 9*w**4 + 27/4*w**3 = 0?
-1, -2/5, 0
Let k = -5 - -7. Factor -742*a**4 + 166*a**4 + 256*a**5 - 59*a**2 - 16*a**3 + 8 + 143*a**k + 160*a**2 + 84*a.
4*(a - 2)*(a - 1)*(4*a + 1)**3
Let t(s) = 5*s**3 - 16*s**2 + 21*s - 6. Let r(m) = -m**2 + m - 1. Let v(o) = 4*r(o) + t(o). Factor v(c).
5*(c - 2)*(c - 1)**2
Let v = 25 - 25. Let a(y) be the second derivative of v*y**3 - 2*y + 1/30*y**6 + 1/12*y**4 + 0*y**2 + 0 - 1/10*y**5. Factor a(h).
h**2*(h - 1)**2
Let i(z) = z**2 + z - 4. Let x be i(-3). Let a(w) be the second derivative of 1/24*w**3 + 0 - 1/120*w**6 - 1/80*w**5 + 1/48*w**4 - 2*w + 0*w**x. Factor a(g).
-g*(g - 1)*(g + 1)**2/4
Let v(x) = x**4 - x**3 + 1. Let l(b) = 7*b**4 - 10*b**3 + 3*b**2 + 4. Let o(t) = -l(t) + 4*v(t). Factor o(d).
-3*d**2*(d - 1)**2
Let h = -2 + 4. Let y(q) be the first derivative of 4/3*q**3 - 4/5*q**5 + q**h + 0*q - 2 + 0*q**4 - 1/3*q**6. Let y(j) = 0. Calculate j.
-1, 0, 1
Let r = -611 + 611. Factor 2/5*j**3 - 2/5*j + r*j**2 + 0.
2*j*(j - 1)*(j + 1)/5
Let t(p) be the second derivative of -3/20*p**5 + 1/28*p**7 + 0 + 4*p + 0*p**2 + 1/4*p**3 + 0*p**4 + 0*p**6. Determine u, given that t(u) = 0.
-1, 0, 1
Let a = 4 - 3. Let d be a/2 - (-1)/(-6). Factor -1/3*m**2 + 0*m + d.
-(m - 1)*(m + 1)/3
Factor -3/4*q + 3/4*q**3 - 3/8*q**4 + 3/8 + 0*q**2.
-3*(q - 1)**3*(q + 1)/8
Let w(x) be the second derivative of -x**4/3 + 2*x**3/3 + 5*x. Factor w(u).
-4*u*(u - 1)
Let s(g) = g**2 + g. Let w(q) = -9*q**2 - 69*q - 256. Let i(u) = 5*s(u) + w(u). Factor i(t).
-4*(t + 8)**2
Let c = -22 - -15. Let m = c + 9. Find s such that 6*s + 0*s**2 - 6 + 5*s - 3*s - m*s**2 = 0.
1, 3
Determine b so that 12*b - 8*b - 4*b**3 - b**4 + b**3 = 0.
-2, 0, 1
Suppose -n - 4*v = 3*n - 28, -3*v + 25 = 5*n. Let i(m) be the second derivative of 0 + 1/6*m**3 - n*m + 1/12*m**4 + 0*m**2. Solve i(x) = 0.
-1, 0
Let k be (-4 + (-4)/8*-14)/1. Let f(s) be the first derivative of -2 + 4/9*s**k + 0*s + 1/6*s**4 + 1/3*s**2. Let f(r) = 0. What is r?
-1, 0
Let k be (-3)/(-6) - 5/10. Factor 0*c**2 + 0*c**3 + k + 0*c - 2/3*c**5 - 4/3*c**4.
-2*c**4*(c + 2)/3
Let t(k) be the second derivative of -1/65*k**5 + 1/39*k**3 - 1/195*k**6 - 1/13*k**2 + 4*k + 1/39*k**4 + 0 + 1/273*k**7. Determine q, given that t(q) = 0.
-1, 1
Let l = 43/7 + -101/21. Factor 4/3*q**2 + 0 - l*q.
4*q*(q - 1)/3
Factor 2/5*m**4 + 18/5 + 24/5*m - 8/5*m**3 - 4/5*m**2.
2*(m - 3)**2*(m + 1)**2/5
Let g(b) = -6*b**3 + 4*b**2 - 3*b - 3. Let w(z) = z + 1. Let y(j) = 2*g(j) + 6*w(j). Factor y(o).
-4*o**2*(3*o - 2)
Let t(r) be the second derivative of -2*r - 1/9*r**3 + 0*r**2 + 1/18*r**4 + 1/5*r**5 + 0. Factor t(i).
2*i*(2*i + 1)*(3*i - 1)/3
Let f(m) be the first derivative of m**5/30 + m**4/24 - m**3/3 - m**2/3 + 4*m/3 + 29. Factor f(z).
(z - 2)*(z - 1)*(z + 2)**2/6
Let r be -5*(2 + (-32)/10). Let v be (-4)/(-6) + 14/r. Factor 2*y**3 + 4*y**3 + 0*y**4 - y**4 - y**5 - 5*y**v + y**2.
-y**2*(y - 1)*(y + 1)**2
Let n(h) be the second derivative of -h**5/5 - 2*h**4/3 + 2*h**3/3 + 4*h**2 - 13*h. Find s such that n(s) = 0.
-2, -1, 1
Let p be 76/494*(-26)/(-6). Find k, given that 2/3 - 4/3*k**3 + 0*k**2 - p*k**4 + 4/3*k = 0.
-1, 1
Let p be (-2)/(-6) - 1/(-3). Suppose 0 = 55*v - 96*v + 82. Factor 2*u**3 - 4/3*u + p*u**v + 0.
2*u*(u + 1)*(3*u - 2)/3
Let i(a) = a + 9. Let y be i(-9). Let j = 15 - 12. Let 4/5*b**j + 0*b - 2/5*b**2 + y - 2/5*b**4 = 0. What is b?
0, 1
Solve 3/4*v**4 + 3/4*v**2 - 15/4*v - 3/2*v**5 - 3/2 + 21/4*v**3 = 0.
-1, -1/2, 1, 2
Let l(m) be the first derivative of -4*m**3/3 - 22*m**2 + 48*m + 61. Factor l(g).
-4*(g - 1)*(g + 12)
Let p(n) = 3*n**3 + n**2 - 4*n - 4. Let y(o) be the second derivative of -3*o**5/10 - o**4/4 + 4*o**3/3 + 4*o**2 + 3*o. Let g(w) = 7*p(w) + 4*y(w). Factor g(z).
-(z - 1)*(z + 2)*(3*z + 2)
Let p be -4*-2*(-3)/(-12). Determine i, given that -p*i**3 + i - 3 - 6*i**2 - 7*i + 1 = 0.
-1
Determine q, given that 3*q**3 - 21*q**2 - 15*q + 7*q + 56*q - 36 + 0*q**3 = 0.
2, 3
Let n(z) be the third derivative of -z**8/6720 + z**6/240 + z**5/12 + z**2. Let w(y) be the third derivative of n(y). Find m, given that w(m) = 0.
-1, 1
Let h = -216 + 3241/15. Let z(c) be the third derivative of 0*c**3 + 2/75*c**5 + 1/300*c**6 + 0 + 2*c**2 + h*c**4 + 0*c. Solve z(p) = 0 for p.
-2, 0
Let h(v) = 2*v**3 - 4*v**2 + 4*v - 2. Let m(t) = -3*t**3 + 7*t**2 - 7*t + 3. Let b(a) = -5*h(a) - 3*m(a). Factor b(k).
-(k - 1)*(k + 1)**2
Let h be -4*(-1)/(-18)*(-6)/4. Let m(k) be the first derivative of h*k**3 + 3/2*k**2 + 2*k - 3. Factor m(x).
(x + 1)*(x + 2)
Suppose 35*i - 27 = 26*i. Find z, given that -2/7*z**4 + 2/7*z**2 - 2/7*z + 2/7*z**i + 0 = 0.
-1, 0, 1
Let n(p) be the third derivative of -1/525*p**7 + 0*p**4 + 0 + 1/300*p**6 + 0*p + 1/75*p**5 + 0*p**3 + p**2. Factor n(b).
-2*b**2*(b - 2)*(b + 1)/5
Let g be ((-2)/(-9))/(160/3). Let v(f) be the third derivative of 1/96*f**4 + 0 + 3*f**2 - 1/480*f**6 + g*f**5 + 0*f - 1/24*f**3. Factor v(s).
-(s - 1)**2*(s + 1)/4
Let k be (28/208)/(1/2). Let i = k - -3/182. Let i*a**3 - 2/7*a + 0*a**2 + 0 = 0. Calculate a.
-1, 0, 1
Let k(f) be the third derivative of -f**6/600 + f**5/100 + f**4/20 - 4*f**3/15 - 4*f**2 - 5. Find q such that k(q) = 0.
-2, 1, 4
Suppose -9 = -5*g - l + 9, 5*g - 3*l - 6 = 0. Let o(n) be the second derivative of 0*n**2 + 0 + 1/21*n**g + 1/42*n**4 + 3*n. Let o(x) = 0. Calculate x.
-1, 0
Let q(x) = 5*x**3 - 3*x**2 + 8*x. Let b(y) = 4*y**3 - 4*y**2 + 9*y. Let c(a) = -4*b(a) + 3*q(a). Factor c(u).
-u*(u - 4)*(u - 3)
Suppose 6*f - 3*f = 0. Solve 3/2*z**5 - z**2 + f*z + 0 + 7/2*z**3 - 4*z**4 = 0.
0, 2/3, 1
Factor 14/3*t + t**2 - 5/3.
(t + 5)*(3*t - 1)/3
Let c be (8/1)/(-4) - -4. Let i be c + 0 - 15/9. Solve 0 + 0*k + i*k**2 = 0 for k.
0
Suppose z = 5*r - 315, -5*r + 0*z + 4*z + 330 = 0. Let i be 4/(-18) - r/(-36). Factor 0 - 1/2*p - 3/2*p**3 - i*p**2 - 1/2*p**4.
-p*(p + 1)**3/2
Let l be (-1 - 0) + 2 + (-16)/(-4). Factor 0*r**3 + 0*r**2 + 0 + 0*r - 2/5*r**l - 2/5*r**4.
-2*r**4*(r + 1)/5
Let r be (0/3)/(6 - 5). Let h(i) be the third derivative of 0*i**4 + 0*i + 0*i**3 - 1/420*i**6 - 3*i**2 + r + 1/210*i**5 - 2/735*i**7. Solve h(w) = 0 for w.
-1, 0, 1/2
Suppose 229 = -5*n - 96. Let k be (-1)/3 - n/105. Determine d so that 2/7*d**2 + 0 - k*d**3 + 0*d = 0.
0, 1
Let x(j) be the third derivative of -4*j**5/75 + j**4/5 - 3*j**3/10 + 9*j**2. Solve x(m) = 0.
3/4
Let a(l) be the third derivative of 1/240*l**6 - 1/48*l**4 + 0*l + 0 - 1/60*l**5 + 1/6*l**3 - 6*l**2. Find