ive of -3*w + 0 + 2/3*w**3 + 0*w**2 - 5/6*w**4 - 7/10*w**5. Factor u(g).
-2*g*(g + 1)*(7*g - 2)
Let q be (8/6)/((-60)/(-18)). Let p(w) = -w + 13. Let b be p(11). Find z such that 0*z + 2/5 - q*z**b = 0.
-1, 1
Suppose 0 = -m - 3*j - 7, -2*m = -3*j - 0*j - 13. Factor 0*g - 1/4*g**3 + 0*g**m + 0.
-g**3/4
Let u be (1/(1 + 1))/1. Let k = -73 + 75. What is i in u + 0*i**3 - i**k + 1/2*i**4 + 0*i = 0?
-1, 1
Let j(s) = s**3 + 6*s**2 + 4*s - 4. Let y(a) be the first derivative of -a**4/4 - 7*a**3/3 - 5*a**2/2 + 5*a + 4. Let u(n) = -5*j(n) - 4*y(n). Factor u(i).
-i**2*(i + 2)
Let a(b) = -b**3 - 8*b**2 - 3*b + 2. Let c(w) = w**3 + 16*w**2 + 6*w - 4. Let s(j) = -15*a(j) - 6*c(j). What is p in s(p) = 0?
-2, -1, 1/3
What is v in 3/4*v - 3/4*v**2 + 1/4*v**3 - 1/4 = 0?
1
Factor 0*l + 4/3*l**3 + 0*l**2 + 0.
4*l**3/3
Let b(g) = 6*g**2 - 15*g - 5. Let s(r) = r**2 - 2*r - 1. Let p(o) = 3*b(o) - 21*s(o). Solve p(h) = 0.
-2, 1
Let u(h) be the first derivative of -h**4/10 - 2*h**3/15 - 9. Factor u(r).
-2*r**2*(r + 1)/5
Let t = 349 + -2441/7. Factor -4/7 - t*q + 2/7*q**2.
2*(q - 2)*(q + 1)/7
Let k(f) = -f**5 + 4*f**4 + 4*f**3 - 4*f**2 - 3*f + 3. Let y(r) = r**4 + r**3 - r**2 - r + 1. Let p(w) = -k(w) + 3*y(w). Factor p(b).
b**2*(b - 1)**2*(b + 1)
Let r be (4 + -4)*3/9. Let p(i) be the second derivative of 0*i**2 + 1/18*i**3 + 1/36*i**4 + r + 4*i. Factor p(x).
x*(x + 1)/3
Let w(d) be the third derivative of d**5/180 - d**4/9 + 8*d**3/9 - 2*d**2. Factor w(z).
(z - 4)**2/3
Find m, given that 0*m**3 - m**3 - 47*m + 48*m = 0.
-1, 0, 1
Let h be (12/10)/(6/20). Suppose 2 = 2*l - 2. Factor -2*r - 2*r**h + l*r**2 + 2*r.
-2*r**2*(r - 1)*(r + 1)
Factor -2/3*d + 1/3*d**2 + 0.
d*(d - 2)/3
Let z(d) = -d**2 + 9*d + 7. Let g be z(9). Let o = 10 - g. Solve -2/5*f**5 - 2/5*f**4 + 0*f + 2/5*f**2 + 2/5*f**o + 0 = 0 for f.
-1, 0, 1
Let g(n) be the first derivative of 3/20*n**4 + 3/5*n - 1/5*n**3 + 2 - 3/10*n**2. Factor g(l).
3*(l - 1)**2*(l + 1)/5
Let q be (-114)/152*16/(-42). Factor 0 + 2/7*z**2 + q*z.
2*z*(z + 1)/7
Solve 2/7*b**4 + 0 + 6/7*b**2 - 2/7*b - 6/7*b**3 = 0.
0, 1
Let k = 9 - 9. Suppose k = -l - 2*l + 6. Determine c so that 70*c**4 - 49*c**5 - 4*c - 6*c**3 + 0*c**l + 9*c**3 - 20*c**2 = 0.
-2/7, 0, 1
Let o be (7/(-35))/((-4)/10). Factor 0*l**2 - o*l**3 + 3/2*l + 1.
-(l - 2)*(l + 1)**2/2
Let w(s) be the third derivative of s**6/360 - 7*s**5/180 + 5*s**4/24 - s**3/2 - 14*s**2. What is c in w(c) = 0?
1, 3
Let r be 76*(-15)/(-160) - 6. Factor -3/4 - 3/8*d**2 - r*d.
-3*(d + 1)*(d + 2)/8
Let a = -966 + 970. Factor 0*g + 6/7*g**2 + 0*g**a + 3/7*g**5 + 0 - 9/7*g**3.
3*g**2*(g - 1)**2*(g + 2)/7
Let s(b) = -b**2 + 22*b - 54. Let g be s(19). Determine n so that 2*n - 2/5 + 6/5*n**g - 14/5*n**2 = 0.
1/3, 1
Let m(z) be the third derivative of -z**8/168 + 2*z**7/105 - z**5/15 + z**4/12 + 9*z**2. Factor m(t).
-2*t*(t - 1)**3*(t + 1)
Let b(f) be the third derivative of -f**5/15 - f**4/3 + 5*f**2. Determine x, given that b(x) = 0.
-2, 0
Let w(k) = -k. Let q be w(-2). Suppose -q*n - 10 = -3*m, -5*n - 20 = 4*m - n. Find s such that -4*s**2 - 10*s**4 - 4*s**2 + 4*s**2 + 14*s**3 + m*s**2 = 0.
0, 2/5, 1
Let o(l) be the second derivative of -l**7/147 - 4*l**6/35 - 22*l**5/35 - 19*l**4/21 + 15*l**3/7 + 50*l**2/7 + 38*l. Solve o(n) = 0.
-5, -2, -1, 1
Let l(p) be the third derivative of p**8/84 + 4*p**7/35 + 2*p**6/5 + 2*p**5/3 + p**4/2 + 21*p**2. Determine k, given that l(k) = 0.
-3, -1, 0
Let s(b) be the first derivative of -8/3*b**3 + 3 - 4/3*b**2 + 0*b + 3/2*b**4 + 14/15*b**5. What is h in s(h) = 0?
-2, -2/7, 0, 1
Let h(u) be the third derivative of u**5/12 - 15*u**3/2 + 25*u**2. Find q, given that h(q) = 0.
-3, 3
Let c(n) be the third derivative of -4*n**2 + 0*n**5 + 0*n**4 + 0*n**3 + 0 - 1/180*n**6 + 0*n. Find s such that c(s) = 0.
0
Let v(y) be the second derivative of 0*y**2 + 1/3*y**3 - 5*y + 0 + 1/12*y**4. Determine i, given that v(i) = 0.
-2, 0
Let x be (-2)/(54/(-50) - -1). Suppose -4*p - x = -5*n + 4, -n + 5*p = -10. Find y such that 1/4*y - 1/4*y**n + 0*y**3 + 0 + 1/2*y**4 - 1/2*y**2 = 0.
-1, 0, 1
Suppose 2*w - 36 = -5*r - 11, -5*w + 3*r - 15 = 0. Factor -2/3*h**2 - 2/3*h**3 + 0*h + w.
-2*h**2*(h + 1)/3
Let k(x) be the second derivative of x**4/12 - x**3/6 - x**2 + 3*x. Suppose k(f) = 0. What is f?
-1, 2
Let j be (0 - -5 - 3) + -2. Suppose j*f = -5*h + f + 16, -5*h = f - 14. Factor 2/5*n**2 + 2/5*n - 2/5 - 2/5*n**h.
-2*(n - 1)**2*(n + 1)/5
Let h(v) = -v**3 + 6*v**2 + 3*v + 30. Let j be h(7). Suppose 0 - 2/3*s**3 - 1/3*s**j + 2/3*s + 1/3*s**4 = 0. Calculate s.
-1, 0, 1, 2
Let y(f) = 2*f**3 + 3*f**2 - 5*f. Let z(r) = 2*r**2 + 3*r**3 - 6*r - 3*r**2 - 3*r + 7*r**2. Let i(l) = 5*y(l) - 3*z(l). Factor i(v).
v*(v - 2)*(v - 1)
Let r(n) = -8*n + 4. Let c be r(0). Let u(k) be the second derivative of 0 - 3/14*k**c + 2/21*k**3 + 0*k**2 - 4*k. Factor u(x).
-2*x*(9*x - 2)/7
Suppose -6/13*t**2 + 2/13*t**4 - 4/13 - 2/13*t**3 + 10/13*t = 0. What is t?
-2, 1
Let l be 84/(-15) + -2 + 8. Factor l*j**3 + 2/5*j**2 + 0*j + 0.
2*j**2*(j + 1)/5
Let g(j) be the third derivative of j**7/1050 - j**6/600 + 4*j**2. Find m such that g(m) = 0.
0, 1
Let v(r) be the third derivative of r**5/30 - r**4/12 + 9*r**2. Find p such that v(p) = 0.
0, 1
Suppose 0 + 1/3*l**4 - 1/6*l**5 + 1/2*l**3 + 0*l + 0*l**2 = 0. Calculate l.
-1, 0, 3
Let k be (-1)/((-1)/(-2) - 1). Solve -2*x**4 - x**k + 2*x - 5*x**2 + 0*x**2 + 6*x**3 = 0 for x.
0, 1
Let i(a) = 5*a**3 - 30*a**2 + 35*a - 10. Let d(n) = -3*n**3 + 15*n**2 - 17*n + 5. Let j(y) = 5*d(y) + 2*i(y). Factor j(z).
-5*(z - 1)**3
Let p be 135/(-25) + 7 + -1. Factor -3/5*b**2 + p*b + 6/5.
-3*(b - 2)*(b + 1)/5
Let q(o) = -o**3 - 4*o**2 + 7*o + 3. Let h be q(-5). Let x be 2/(-4)*70/h. Determine t so that 0*t - 8/5*t**4 - 4/5*t**x + 0 - t**3 - 1/5*t**2 = 0.
-1, -1/2, 0
Let k(m) be the third derivative of -m**7/70 + m**6/40 + 3*m**5/20 - m**4/8 - m**3 + 8*m**2 + 3*m. Suppose k(w) = 0. Calculate w.
-1, 1, 2
Factor -4/7*d**4 - 8/7*d**3 + 8/7*d**2 - 4/7 + 4/7*d**5 + 4/7*d.
4*(d - 1)**3*(d + 1)**2/7
Let z(t) be the third derivative of t**10/22680 + t**9/6480 + t**8/10080 - t**7/7560 - t**4/6 + 4*t**2. Let g(q) be the second derivative of z(q). Factor g(d).
d**2*(d + 1)**2*(4*d - 1)/3
Let u(k) = -k**4 + k**3 + k**2. Suppose -3*n + 5*c = -4*n - 19, 4*c = 3*n. Let h(x) = 2*x**4 - 8*x**3 - 6*x**2. Let j(d) = n*u(d) - h(d). Solve j(z) = 0 for z.
-1, 0
Let s(d) be the second derivative of 6*d + 1/2*d**3 + 3/5*d**5 + 0 - 5/4*d**4 + 0*d**2. Determine v so that s(v) = 0.
0, 1/4, 1
Let y(j) = j**4 + j**3 - j. Let v(k) = 5*k**4 + 3*k**3 - k**2 - 3*k + 2. Let x = 14 - 8. Let p(d) = x*y(d) - v(d). Factor p(w).
(w - 1)*(w + 1)**2*(w + 2)
Let f(d) = d + 1. Let h(t) = t**3 - 7*t**2 + 7*t - 4. Let z be h(6). Let q be f(z). Factor 0 - q*n**3 + 6*n**2 - 3*n + 0.
-3*n*(n - 1)**2
Let l(j) = 47*j**3 - 2*j**2 - 2*j. Let i(b) = -93*b**3 + 5*b**2 + 3*b. Let m(p) = 2*i(p) + 5*l(p). Suppose m(o) = 0. What is o?
-2/7, 0, 2/7
Let y(d) be the second derivative of -1/3*d**3 - 7/30*d**6 + 0*d**2 - d + 1/10*d**5 + 7/12*d**4 + 0. Factor y(o).
-o*(o - 1)*(o + 1)*(7*o - 2)
Let a(w) be the second derivative of w**5/130 - w**4/26 + w**3/13 - w**2/13 + 5*w. Factor a(r).
2*(r - 1)**3/13
Let g(n) be the third derivative of n**5/80 + n**4/8 - 9*n**2. Determine u, given that g(u) = 0.
-4, 0
Let o = -254 - -255. Let -q - 1/4*q**2 - o = 0. What is q?
-2
Let a = -6 - -10. Let y(d) be the first derivative of 0*d**3 + 2 - 2/5*d**2 + 2/25*d**5 - 2/5*d + 1/5*d**a. Factor y(v).
2*(v - 1)*(v + 1)**3/5
Let r = -870 + 870. Determine f so that r + 1/4*f**3 - 1/4*f + 0*f**2 = 0.
-1, 0, 1
Suppose 0*v - 5*v = -20. Let h(w) be the first derivative of 3*w**4 - 9/5*w**5 + 0*w - 1/3*w**3 - w**2 + v. Solve h(g) = 0.
-1/3, 0, 2/3, 1
Let -18/5*u + 0 - 12/5*u**2 - 2/5*u**3 = 0. What is u?
-3, 0
Let a be (-3)/(-5) - (-242)/(-420). Let u(q) be the third derivative of 0*q**5 + 0*q**3 + a*q**8 + 0 - 1/60*q**6 + q**2 - 1/35*q**7 + 0*q + 0*q**4. Factor u(p).
2*p**3*(p - 1)*(4*p + 1)
Suppose -3*f + 3*x = 0, -3*f - 2*x = x - 12. Find d, given that 0*d + 1/4*d**f - 1/4 = 0.
-1, 1
What is t in -1/5*t**5 + 2/5*t**4 + 7/5*t - 8/5*t**2 - 2/5 + 2/5*t**3 = 0?
-2, 1
Let c(h) = -2*h**2 - 4*h - 2. Let a(v) = -v**2 - v. Let x(b) = -4*a(b) + c(b). Factor x(z).
2*(z - 1)*(z + 1)
