 - 19. Let f(r) = -1. Let s(w) = 3*f(w) - i(w). Factor s(o).
-4*(o + 2)**2*(2*o - 1)
Let y(t) = -t**2 - 3*t + 2. Let v be y(-3). Let l(w) be the first derivative of w**2 + 3 - 1/2*w**4 + 0*w - v*w**3 + 6/5*w**5. Factor l(u).
2*u*(u - 1)*(u + 1)*(3*u - 1)
Let m(o) be the third derivative of -o**8/26880 + o**7/10080 + o**6/2880 - o**5/12 + 3*o**2. Let l(n) be the third derivative of m(n). What is j in l(j) = 0?
-1/3, 1
Let r = 50 - 47. Find i, given that -1/3*i**4 - 2/3*i + 2/3*i**r + 0 + 1/3*i**2 = 0.
-1, 0, 1, 2
Let o(p) be the first derivative of -3*p**4/4 + p**3 + 3*p**2 - 14. Factor o(g).
-3*g*(g - 2)*(g + 1)
Find v such that 2*v**2 + 2/3*v**3 + 0 + 0*v = 0.
-3, 0
Let w(j) be the second derivative of j**4/3 - 35*j. Factor w(u).
4*u**2
Suppose 0 = 4*r - 3*n - 6, -4 = 2*r + 4*n + 4. Suppose 5*k + 5*b = -r*b - 10, -k - 2*b = 6. Factor -3*p**4 - 3*p**4 + 7*p**4 + 2*p**3 - k*p**4.
-p**3*(p - 2)
Let v(f) be the first derivative of 12*f**5/5 - 7*f**4 - 12*f**3 + 14*f**2 + 24*f + 51. Determine g, given that v(g) = 0.
-1, -2/3, 1, 3
Let u(h) be the first derivative of 3/5*h**3 + 1/10*h**6 + 3/20*h**4 - 9/25*h**5 - 3 - 3/5*h**2 + 0*h. Find f such that u(f) = 0.
-1, 0, 1, 2
Let q = -8 - -11. Suppose -2 = -4*r + q*r. Factor -3*t**2 + 3*t**r - t**2 + t.
-t*(t - 1)
Let w(y) = -y**2 - 6*y + 3. Let z be w(-5). Factor 3*m**3 - z*m**2 - 7*m**2 + 45 - 18 + 9*m.
3*(m - 3)**2*(m + 1)
Let j be 52/39*54/8. Solve 0 - j*k**5 - 8/5*k**2 + 4/5*k + 78/5*k**4 - 29/5*k**3 = 0 for k.
-1/3, 0, 2/5, 2/3, 1
What is s in 0*s + 0 - 12/5*s**4 + 12/5*s**2 + 3/5*s**5 - 3/5*s**3 = 0?
-1, 0, 1, 4
Let o(x) be the first derivative of -x**6/15 - x**5/10 + x**4/6 + x**3/3 - 5*x + 6. Let z(c) be the first derivative of o(c). Factor z(j).
-2*j*(j - 1)*(j + 1)**2
Let r(x) = x**2 + x + 8. Let t be r(4). Let s = t + -28. Solve 4/7*n**3 + 0 - 2/7*n**5 - 2/7*n + 0*n**4 + s*n**2 = 0.
-1, 0, 1
What is r in 0 - 15/4*r**3 - 9/4*r + 21/4*r**2 + 3/4*r**4 = 0?
0, 1, 3
Let m(y) be the third derivative of -5*y**9/3024 - y**8/336 - y**7/630 + 5*y**4/24 + 3*y**2. Let f(x) be the second derivative of m(x). Factor f(n).
-n**2*(5*n + 2)**2
Suppose 0 = -r - 2 - 0. Let b be (-2)/(-10) + r/(-90). Factor 2/9*x + 0 + b*x**3 - 4/9*x**2.
2*x*(x - 1)**2/9
Suppose 3 = 3*j - 18. Let u be 96/42 - 2/j. Factor 2/7*f + 4/7*f**u + 0 + 2/7*f**3.
2*f*(f + 1)**2/7
Let a = 182 + -898/5. Find h, given that 12/5*h**3 - a*h + 3/5 - 3/5*h**2 = 0.
-1, 1/4, 1
Let s = -951/4 - -239. Let o(g) be the second derivative of g + 9/20*g**5 + 0 + 7/6*g**3 + s*g**4 + 1/2*g**2. Factor o(m).
(m + 1)*(3*m + 1)**2
Find r such that -2/13 - 2/13*r + 2/13*r**3 + 2/13*r**2 = 0.
-1, 1
Let i be (-3)/9 + 43/(-42). Let l = 13/7 + i. Find g, given that -l*g**2 - 1/4*g**5 + 3/4*g - 1/4 + 3/4*g**4 - 1/2*g**3 = 0.
-1, 1
Let j(k) = -17*k**3 + 14*k**2 - 2*k. Let q(f) = f**3 - f**2 + f. Let v(y) = -j(y) - 5*q(y). Factor v(x).
3*x*(x - 1)*(4*x + 1)
Solve 5*r**4 - 3*r**2 + 351*r**3 - 2*r**2 - 366*r**3 + 15*r = 0 for r.
-1, 0, 1, 3
Suppose 2*d + 3*q = 3, -2*d + 0*d + 9 = -3*q. Solve -3/4*s**d + s**5 - 1/4*s - 5/4*s**4 + 0 + 5/4*s**2 = 0.
-1, 0, 1/4, 1
Factor 5/6*f**4 - 13/6*f**3 + 3/2*f**2 + 1/6*f - 1/3.
(f - 1)**3*(5*f + 2)/6
Let m(p) be the first derivative of p**4/6 - 4*p**3/9 + p**2/3 - 12. Factor m(g).
2*g*(g - 1)**2/3
Let z = 28 - 44. Let h = z + 16. Factor h*n - 2/9*n**4 + 4/9*n**2 + 0*n**3 - 2/9.
-2*(n - 1)**2*(n + 1)**2/9
Suppose 0*i = -3*i + 144. Let a be 3/4 + (-20)/i. Determine p so that a*p**3 - 1/3*p + 1/3*p**2 + 0 - 1/3*p**4 = 0.
-1, 0, 1
Solve 0 + 1/6*y**2 + 1/6*y**3 - 1/3*y = 0.
-2, 0, 1
Let j be (42*5)/5*2. Let i be j/135 + (-6)/27. Determine k so that 8/5 + i*k**2 + 8/5*k = 0.
-2
Let s(i) be the third derivative of i**9/211680 - i**7/17640 - i**5/20 + 3*i**2. Let c(q) be the third derivative of s(q). Suppose c(d) = 0. What is d?
-1, 0, 1
Let d(a) be the second derivative of a**3 + 0 - 4/21*a**7 + 2*a**2 - a - 4/3*a**4 - 1/2*a**5 + 4/5*a**6. Determine k, given that d(k) = 0.
-1/2, 1, 2
Let z(r) = 2*r - 3*r - 4 - r**2 + 2. Let h(w) = -4*w**2 - 4*w - 7. Let g = 8 + -6. Let x(k) = g*h(k) - 7*z(k). Solve x(d) = 0.
-1, 0
Let o = -6 - -8. Let g = o - 0. Factor t**g - t - 3*t**2 + t**2.
-t*(t + 1)
Let z = 9 + -8. Solve z - 3 + 2*h**4 - 4*h**3 + 17*h - 13*h = 0 for h.
-1, 1
Let t(q) = q**2 + q + 3. Let y be t(0). Factor -5*c**4 + 0*c**3 + 4*c**4 + c**y + 3*c**2 - c**2.
-c**2*(c - 2)*(c + 1)
Suppose -12*f = -17*f. Suppose 0 + f*c**3 + 0*c**2 - 2/9*c**4 + 2/9*c**5 + 0*c = 0. Calculate c.
0, 1
Let m = -7 + 10. Let a be (12/m - 4)/1. Factor a + 0*g + 3/4*g**2.
3*g**2/4
Let k(m) be the second derivative of m**8/2240 - m**7/840 + m**4/2 + 7*m. Let f(h) be the third derivative of k(h). Determine q so that f(q) = 0.
0, 1
Suppose -25*k**4 - 3*k - k**5 - 3*k**5 - k**5 - 7*k - 35*k**2 - 45*k**3 = 0. What is k?
-2, -1, 0
Let v(s) = -s**2 + 12*s + 9. Let m be v(12). Suppose 5*l - 3*b = 19, -l + m = -4*l - 5*b. Solve 0*w**l + 1/5*w + 0 - 1/5*w**3 = 0.
-1, 0, 1
Let w(i) = -13*i**3 + 25*i**2 - 17. Let g(j) = -7*j**3 + 13*j**2 - 8. Let y(f) = -7*g(f) + 4*w(f). Determine n so that y(n) = 0.
-1, 2
Let x(m) = -m**3 - m**2 - m. Let o(d) = -11*d - 18*d**2 + 3*d**3 + 1 + 1 + 12*d**2. Let z = 0 - 1. Let f(s) = z*o(s) + 4*x(s). Factor f(a).
-(a - 1)*(a + 1)*(7*a - 2)
Let f(d) be the first derivative of d**6/180 - d**5/20 + d**4/6 - 2*d**3 - 2. Let x(t) be the third derivative of f(t). Suppose x(b) = 0. What is b?
1, 2
Let v(z) = -z**2 + 6*z - 6. Let x be v(4). Suppose 13 = -3*a - 4*j + x, a = 5*j + 28. Factor 0*w + 0 - 1/3*w**2 - 1/3*w**4 + 2/3*w**a.
-w**2*(w - 1)**2/3
Suppose -5*m + 18 = 3. Suppose -3*n = -1 - 14. Factor -9*o + 2*o + 2*o**m + n*o.
2*o*(o - 1)*(o + 1)
Let y = -141 + 1693/12. Let g(a) be the first derivative of -y*a**4 - 2 + 1/6*a**2 + 1/9*a**3 - 1/3*a. Let g(t) = 0. Calculate t.
-1, 1
Let k(d) be the first derivative of 2*d**5/55 + 2*d**4/11 + 10*d**3/33 + 2*d**2/11 + 15. Factor k(y).
2*y*(y + 1)**2*(y + 2)/11
Let z(h) be the second derivative of -1/90*h**5 + 0*h**2 - 1/3*h**3 + h + 1/540*h**6 + 1/36*h**4 + 0. Let x(w) be the second derivative of z(w). Factor x(m).
2*(m - 1)**2/3
Solve -10/3*a**4 - 6*a**2 + 4/3 - 26/3*a**3 + 2/3*a = 0.
-1, 2/5
Let h(u) = 5*u - 14. Let b be h(4). Let n(c) be the third derivative of 0 + 0*c + 1/120*c**5 - 1/12*c**3 - 1/480*c**b + c**2 + 1/96*c**4. Factor n(k).
-(k - 2)*(k - 1)*(k + 1)/4
Suppose 0*d**2 - d - 2*d - 2*d**2 - d**2 = 0. Calculate d.
-1, 0
Find l, given that -8 - 2*l**2 + 2*l + 8 - 4*l = 0.
-1, 0
Suppose -2*t = 3*i - 16, 26 = 3*i + 3*t + t. Factor -2*d**3 - 4*d**i - 11*d**4 - d**2 - 13*d**3 - 2*d - 3*d**5 - 4*d**2.
-d*(d + 1)**3*(3*d + 2)
Let l(c) be the third derivative of 1/150*c**5 + 0*c**3 - 1/60*c**4 - 2*c**2 + 0 + 0*c. Factor l(t).
2*t*(t - 1)/5
Let p(w) = w**5 + 5*w**4 - 6*w. Let d(x) = x**5 - x. Let l(u) = 6*d(u) - p(u). Factor l(f).
5*f**4*(f - 1)
Let a be (-504)/81*32/(-56). Factor a*q**3 + 512/9*q + 512/9 + 2/9*q**4 + 64/3*q**2.
2*(q + 4)**4/9
Let l(q) = q**2 + 1. Let h(s) be the second derivative of 13*s**4/12 - 14*s**3/3 - 11*s**2/2 - 7*s. Let w(f) = -h(f) - 3*l(f). Factor w(y).
-4*(y - 2)*(4*y + 1)
Let m = 103/52 + -3/13. Solve 2*g**2 + 4*g**3 - m*g + 1/4 = 0 for g.
-1, 1/4
Let w(d) be the first derivative of 10*d**3/33 + 27*d**2/11 + 20*d/11 + 3. Solve w(g) = 0 for g.
-5, -2/5
Let f(n) be the first derivative of -1/4*n**2 + 1 + 1/6*n**3 - 1/24*n**4 - 2*n. Let z(i) be the first derivative of f(i). Factor z(s).
-(s - 1)**2/2
Let u(i) be the second derivative of -3*i + 1/18*i**3 + 1/36*i**4 + 0*i**2 + 0 - 1/60*i**5 - 1/90*i**6. Factor u(f).
-f*(f - 1)*(f + 1)**2/3
Let k = 9 + -7. Factor 0*n**5 - 3*n**4 + 4*n**3 - k*n**5 + 5*n**4.
-2*n**3*(n - 2)*(n + 1)
Let b(z) be the third derivative of -z**5/20 + z**4/8 + 5*z**2. Determine g so that b(g) = 0.
0, 1
Let k(r) be the first derivative of -2*r**5/45 + 2*r**4/9 - r**3/3 + 2*r**2/9 + r - 4. Let x(i) be the first derivative of k(i). Factor x(j).
-2*(j - 2)*(2*j - 1)**2/9
Solve -2*n**2 - 2*n**4 + 4*n**2 - 4*n**3 + 2*n**2 + 2*n**5 - 2 + 2*n = 0 for n.
-1, 1
Suppose s**4 - s**3 + s**5 - 4*s**2 - s**4 + 2*s**2 + 2*s**4 = 0. What is s?
-2, -1, 0, 1
Determine k so that 17*k**2 - 19*k**2 + 7*k**2 - 2*k = 0.
0, 2/5
Let u be 6/21 + 106/70. Find f, given that 0 + 8/