+ 5*s + 3. Let z(j) be the first derivative of n(j). Factor z(m).
-(m - 2)*(m + 1)/3
Suppose -3*u + 26 = -6*u + 2*h, 0 = 2*u - 3*h + 19. Let g = -4 - u. Factor 2/3*o**g - 4/3*o + 4/3*o**3 - 2/3 + 0*o**2.
2*(o - 1)*(o + 1)**3/3
Suppose 0 = 4*g + 5*i - 33, g - 12 = -i - i. Let l be (-3)/(-6)*0 + g. Factor -3*m**l - 2*m**5 - 4*m**4 + 2*m + 0*m + 7*m**2.
-2*m*(m - 1)*(m + 1)**3
Let p(w) be the third derivative of w**7/420 - w**6/48 + w**5/15 - w**4/12 + w**2. Factor p(a).
a*(a - 2)**2*(a - 1)/2
Suppose 7*n + 39 = 4*n. Let l be (0/(-1))/(12 + n). Suppose 1/4*f + l - 1/4*f**2 = 0. Calculate f.
0, 1
Suppose -4*v = 2*c - 54, -5*c - 8 = -3*v - 0*c. Let a = v - 7. Determine w so that 2*w + 7*w**3 - a*w - 5*w**3 = 0.
-1, 0, 1
Let o(p) be the third derivative of -p**8/45360 - p**7/22680 - p**5/12 - 8*p**2. Let w(c) be the third derivative of o(c). Factor w(f).
-2*f*(2*f + 1)/9
Let l be -4 + 0 + -3 + 7. Factor 0 - 1/3*p**4 + 0*p + l*p**2 + 1/3*p**3.
-p**3*(p - 1)/3
Let s(l) be the first derivative of 2*l**3/27 - 14*l**2/9 + 98*l/9 - 10. Determine i so that s(i) = 0.
7
Let s be ((-54)/(-567))/((8/6)/2). Let a(q) be the first derivative of 1 + 0*q + 0*q**5 + 1/21*q**6 + 1/7*q**2 + 0*q**3 - s*q**4. Factor a(d).
2*d*(d - 1)**2*(d + 1)**2/7
Let m(o) be the first derivative of 5*o**3/3 + 45*o**2 - 22. Factor m(b).
5*b*(b + 18)
Let w(r) be the second derivative of -r**5/150 + r**4/60 + 9*r**2/2 + 5*r. Let f(y) be the first derivative of w(y). Solve f(h) = 0 for h.
0, 1
Suppose -23 + 7 = -8*o. Factor 0 + 0*k - 1/4*k**o.
-k**2/4
Let w = -2 - -11. Suppose 0 = y - 17 + 3. Determine x, given that 0*x + y*x**3 - 5*x - w*x**3 - 2 + 2*x**2 = 0.
-1, -2/5, 1
Let a = -4 - -6. Suppose 5*p - 3*l - 11 = 0, -3*l = -p - p - 1. Solve x**a - x**p + x - x = 0.
-1, 0, 1
Let o(b) be the third derivative of -b**6/900 - b**5/225 - 14*b**2. Determine s so that o(s) = 0.
-2, 0
Suppose -10 + 30 = 4*c. Suppose -3*q = c*m - 22, -3*q + 6 = 2*m - 5*m. Determine f so that f - 2 + 3*f + 11*f**2 + m*f - 3*f**2 = 0.
-1, 1/4
Let k(s) be the first derivative of 2*s**7/735 + s**6/210 - s**5/105 - s**4/42 + 7*s**2/2 - 5. Let y(v) be the second derivative of k(v). Factor y(p).
4*p*(p - 1)*(p + 1)**2/7
Suppose 3*o - 3*s + s = 6, -3*s - 8 = -4*o. Solve x + x**2 + x**3 + 5*x**2 - 8*x**o = 0 for x.
0, 1
Let l(d) be the second derivative of d**9/22680 - d**8/5040 + d**7/3780 - d**4/2 - 4*d. Let n(b) be the third derivative of l(b). Let n(k) = 0. Calculate k.
0, 1
Let k(d) = -2*d**5 - 5*d**4 + 2*d**3 + 5*d**2. Let c(r) = 6*r**5 + 14*r**4 - 6*r**3 - 14*r**2. Let n(h) = 5*c(h) + 14*k(h). Solve n(a) = 0 for a.
-1, 0, 1
Suppose -u - 3*c = -4*u, 3*u = c + 4. Let v(b) be the first derivative of 0*b + 2/15*b**3 + 0*b**u + 2 + 1/10*b**4. Factor v(l).
2*l**2*(l + 1)/5
Find s such that 1/3*s**2 + 5/6*s + 1/3 - 1/6*s**5 - 2/3*s**3 - 2/3*s**4 = 0.
-2, -1, 1
Let k(n) = -9*n**3 + 8*n**2 - n - 13. Suppose 2*a + 20 = 6*a. Let u(p) = 4*p**3 - 4*p**2 + 6. Let q(v) = a*u(v) + 2*k(v). Let q(r) = 0. Calculate r.
-1, 1, 2
Let y = 113/7076 - 3/122. Let k = 61/348 + y. Factor 0*r - k*r**3 - 1/6*r**4 + 0 + 1/6*r**5 + 1/6*r**2.
r**2*(r - 1)**2*(r + 1)/6
Let y be (2/(-6))/((-5)/30). Factor 6*g + 10*g**2 - 4*g**y + 1 - g**3 + 1 + 3*g**3.
2*(g + 1)**3
Suppose -3*d = -3*u - u + 117, -5*d + 95 = 3*u. Find j, given that -u*j**2 + 8 - 28*j**3 - 14*j**2 - 4*j**2 - 12*j = 0.
-1, 2/7
Let k(l) be the third derivative of -l**6/24 + l**5/12 + 5*l**4/24 - 5*l**3/6 - 13*l**2. Find i such that k(i) = 0.
-1, 1
Let h be (-3)/2 + 33/6. Suppose -2*n = -5*f - 6, h*n + 0 = -5*f + 12. Solve 1/2*v**n + 1/2*v**2 + 0*v + 0 = 0.
-1, 0
Let q(i) be the third derivative of 1/70*i**5 + 3*i**2 + 0*i + 0 + 1/21*i**3 + 1/420*i**6 + 1/28*i**4. Suppose q(a) = 0. Calculate a.
-1
Let l(s) be the second derivative of -s**6/1260 - s**5/420 - s**3/3 - 3*s. Let y(w) be the second derivative of l(w). Let y(p) = 0. Calculate p.
-1, 0
Let g(n) be the first derivative of 3*n**4/4 - 9*n**2/2 - 6*n - 29. Factor g(k).
3*(k - 2)*(k + 1)**2
Suppose 9 - 9 = -5*c. Find w, given that c - 1/3*w**2 - 2/3*w = 0.
-2, 0
Let c(w) be the first derivative of -2*w**5/35 - 3*w**4/14 + 4*w**2/7 - 45. Solve c(r) = 0 for r.
-2, 0, 1
Suppose -16*p + 11*p = 0. Suppose 0*a**2 + p*a + 2/5*a**5 + 0 + 0*a**3 - 2/5*a**4 = 0. Calculate a.
0, 1
Let m(g) be the first derivative of g**4/6 - 3*g**3/4 + g**2/2 + 6*g + 3. Let k(j) be the first derivative of m(j). Factor k(u).
(u - 2)*(4*u - 1)/2
Let i(c) be the second derivative of -2*c**6/5 + 33*c**5/20 - 9*c**4/4 + c**3/2 + 3*c**2/2 + c. Suppose i(m) = 0. What is m?
-1/4, 1
Let c(p) be the third derivative of p**6/80 + p**5/60 - p**4/48 - 14*p**2. Factor c(h).
h*(h + 1)*(3*h - 1)/2
Let h(d) = -d**3 - 5*d**2 - 3*d. Let v(b) = 4*b**2 + 2*b. Let g(t) = -2*h(t) - 3*v(t). Factor g(a).
2*a**2*(a - 1)
Let l(h) be the third derivative of 1/24*h**4 + 1/20*h**5 - 1/3*h**3 + 0*h + 0 + h**2 - 1/210*h**7 - 1/120*h**6. Factor l(j).
-(j - 1)**2*(j + 1)*(j + 2)
Let c(r) be the third derivative of 0*r + 1/16*r**4 - 1/120*r**5 + 0*r**3 + 0 + 5*r**2. What is j in c(j) = 0?
0, 3
Suppose -7*t - 3*t + 2*t = 0. Find q, given that 0*q + 3/4*q**3 + 1/2*q**2 + t + 0*q**4 - 1/4*q**5 = 0.
-1, 0, 2
Suppose i + 3*h = 6*i - 19, 3*i - 21 = 5*h. What is b in 84/13*b**i + 38/13*b**3 + 16/13 + 72/13*b + 6/13*b**4 = 0?
-2, -1/3
Find w such that 0 + 9/2*w**2 - 27/2*w + 3/2*w**4 + 15/2*w**3 = 0.
-3, 0, 1
Let -2*x**4 + 1/4 + 7/4*x**2 + 4*x**5 - 23/4*x**3 + 7/4*x = 0. What is x?
-1, -1/4, 1
Suppose 6*y + 17 = s + 3*y, -5*s - 3*y - 5 = 0. Factor 4*w**2 + 2 - 2*w**s - 2.
2*w**2
Find k, given that -14/19*k**4 - 6/19*k**3 + 0 + 10/19*k**5 - 4/19*k + 14/19*k**2 = 0.
-1, 0, 2/5, 1
Let m be (-24)/14 - (3 + -1 - 4). Factor 6/7*h**2 + m - 6/7*h - 2/7*h**3.
-2*(h - 1)**3/7
Factor 5*w**3 + 24*w - 21*w + 8*w**2 - 2 - 2*w**3.
(w + 1)*(w + 2)*(3*w - 1)
Suppose 26*s = 25*s. Let b(y) be the first derivative of 1/20*y**5 + s*y + 1/12*y**3 + 0*y**2 + 3 + 1/8*y**4. Factor b(x).
x**2*(x + 1)**2/4
Determine k, given that 14/5*k**4 - 76/15*k**2 + 16/15 + 58/15*k**3 - 8/3*k = 0.
-2, -2/3, 2/7, 1
Let q(s) be the third derivative of -3*s**6/40 + s**5/20 - s**3/2 - 7*s**2. Let r(k) = 9*k**3 - 2*k**2 + k + 4. Let o(z) = -4*q(z) - 3*r(z). Factor o(j).
3*j*(j - 1)*(3*j + 1)
Let y(t) = -3*t - 2. Let w(z) = -2*z - 1. Let s(r) = -7*w(r) + 4*y(r). Let x be s(3). Factor -x*h**3 - h**3 + 6 + 3*h**3 + 9*h + 0*h**3.
-3*(h - 2)*(h + 1)**2
Let f(z) = z**2 + 3*z + 2. Let j be f(-2). Suppose j*v - 3*v = -9. Factor 4*p**2 - 5*p**v + 5*p**4 + 3*p - 3*p**4 - 4*p.
p*(p - 1)**2*(2*p - 1)
Determine d so that -1/3*d**2 - 1/3*d + 0 = 0.
-1, 0
Let j(g) be the second derivative of g**5/60 + g**4/9 + 5*g**3/18 + g**2/3 - 7*g. Determine b, given that j(b) = 0.
-2, -1
Let i(t) = t**2 + 7*t - 4. Let o be i(-8). Determine w so that -w**2 - o*w + 4*w**2 - 2*w**2 - 3*w**2 = 0.
-2, 0
Let l = -3/20 + -13/20. Let o = l - -6/5. Find h such that 2/5*h**5 + 0*h**3 - o*h - 4/5*h**4 + 4/5*h**2 + 0 = 0.
-1, 0, 1
Let m(s) be the second derivative of 5*s**7/28 + 13*s**6/30 - 17*s**5/40 - 5*s**4/6 - s**3/3 + s. What is a in m(a) = 0?
-2, -2/5, -1/3, 0, 1
Let f be 7/(-84)*-57 - 2/8. Find i, given that -f*i**2 + 0*i - 3/2*i**3 + 6 = 0.
-2, 1
Let c = 277/2 - 134. Let o = 5 + -3. Factor 0 + 0*w + 7/2*w**3 - w**o + c*w**4.
w**2*(w + 1)*(9*w - 2)/2
Let k(u) be the first derivative of 0*u**3 + 0*u**2 + 2 + 1/100*u**5 + u + 0*u**4. Let z(x) be the first derivative of k(x). Factor z(m).
m**3/5
Let v be 1/(-3) - (-8)/20. Let x(s) be the second derivative of -1/10*s**5 + 1/3*s**3 + 0 + 0*s**2 + 3*s + v*s**6 - 1/6*s**4. Suppose x(g) = 0. What is g?
-1, 0, 1
Let f(s) be the third derivative of -5*s**8/672 + s**6/16 + s**5/12 + 4*s**2. Factor f(t).
-5*t**2*(t - 2)*(t + 1)**2/2
Let i(x) be the second derivative of x**5/100 - x**4/60 - 7*x. Factor i(r).
r**2*(r - 1)/5
Let t = -3/23 - -55/69. Let l(s) be the first derivative of 0*s**2 - 1 + 7/4*s**4 - t*s**3 - s**5 + 0*s. Solve l(g) = 0.
0, 2/5, 1
Let u(g) be the third derivative of -g**8/84 - 2*g**7/21 + g**6/6 + 5*g**5/3 - 20*g**4/3 + 32*g**3/3 - 10*g**2. Find l such that u(l) = 0.
-4, 1
Let y be -8 - (0 + 1) - -2. Let z(f) = 11*f**4 + f**3 - 3*f**2 + 7*f. Let j(c) = -5*c**4 - c**3 + c**2 - 3*c. Let i(t) = y*j(t) - 3*z(t). Fact