e i(-6). Let h be p/8 - (-9)/4. Determine j so that -h*j + 0*j**2 - j**2 + 3*j = 0.
0, 1
Let p(u) be the second derivative of -u**7/10080 + u**6/1440 - u**5/480 - 2*u**4/3 - 3*u. Let b(v) be the third derivative of p(v). Factor b(n).
-(n - 1)**2/4
Let v(q) be the second derivative of -1/30*q**6 + 1/10*q**5 + 0 - 1/12*q**4 - 3*q + 0*q**3 + 0*q**2. Suppose v(x) = 0. What is x?
0, 1
Let j(i) be the third derivative of 0*i**5 + 0*i**4 + 0*i - 4*i**2 + 0*i**3 + 1/180*i**6 + 1/315*i**7 + 0. Factor j(g).
2*g**3*(g + 1)/3
Let k(a) = a**2 + 4. Let j(w) = -w. Let f(z) = 4*j(z) - k(z). Let l = 13 - 9. Let h(s) = -3*s**2 - 11*s - 11. Let x(c) = l*h(c) - 11*f(c). Factor x(u).
-u**2
Let z(o) be the first derivative of 20*o**3/3 - 19*o**2/2 - 8*o + 8. Let r(i) = 20*i**2 - 18*i - 8. Let y(j) = 7*r(j) - 6*z(j). Suppose y(h) = 0. Calculate h.
-2/5, 1
Factor -44*a + 0*a**3 - 55*a - 9*a - 216 - 18*a**2 - a**3.
-(a + 6)**3
Find h such that -5/4*h**2 - 1/4 - h - 1/2*h**3 = 0.
-1, -1/2
Let g(c) be the second derivative of -c**6/120 + c**5/10 - c**4/2 - c**3/3 + 5*c. Let q(y) be the second derivative of g(y). Suppose q(b) = 0. What is b?
2
Let c(l) be the first derivative of l**3/2 + 6*l**2 + 24*l + 10. Factor c(h).
3*(h + 4)**2/2
Let n(q) = 6*q**5 + 2*q**4 - 12*q**3 - 24*q**2 - 4*q - 4. Let w(i) = -7*i**5 - 2*i**4 + 11*i**3 + 24*i**2 + 5*i + 5. Let k(g) = -5*n(g) - 4*w(g). Factor k(j).
-2*j**2*(j - 3)*(j + 2)**2
Let j(d) = 2*d + 4. Let z be j(-1). Let c(g) be the second derivative of 0 - g + 1/48*g**4 + 1/2*g**z - 1/6*g**3. Solve c(i) = 0 for i.
2
Determine j so that -69/8*j**3 - 63*j**2 - 3/8*j**4 - 120*j + 192 = 0.
-8, 1
Factor -2/13 + 0*v + 2/13*v**2.
2*(v - 1)*(v + 1)/13
Let i be (21/(-28))/(-21 + 0). Let z(d) be the second derivative of 0*d**3 + d + 3/140*d**5 + i*d**4 + 0*d**2 + 0. Factor z(a).
3*a**2*(a + 1)/7
Suppose 2*z + 4*t = -92, -4*z + 5*t = 198 - 1. Let k = z + 145/3. Let 0 - 1/3*o**2 - k*o**3 + 2/3*o = 0. Calculate o.
-2, 0, 1
Let i(j) be the second derivative of j**4/78 + 4*j**3/39 + 3*j**2/13 - 55*j. Factor i(u).
2*(u + 1)*(u + 3)/13
Let b be ((-3)/(-2))/(-7 - -277). Let q(w) be the third derivative of -4/9*w**3 + 0 - 1/18*w**5 - 2/9*w**4 + 0*w - b*w**6 - 4*w**2. Factor q(k).
-2*(k + 1)*(k + 2)**2/3
Let t(i) be the first derivative of -i**2/2 + i - 2. Let x be t(-1). Factor -2/3 + 2/3*f**3 - 2/3*f + 2/3*f**x.
2*(f - 1)*(f + 1)**2/3
Let b = 99/2 + -49. Factor 0 + 0*r - 1/2*r**3 + 0*r**2 - b*r**5 - r**4.
-r**3*(r + 1)**2/2
Let v(z) be the first derivative of 2*z**4 - 8*z - 4*z**2 + 2/5*z**5 + 3 + 2*z**3. Solve v(p) = 0 for p.
-2, -1, 1
Let m(a) = 4*a**4 + 5*a**3 - 3*a**2 - 9*a - 1. Suppose p + 2*r = -p + 14, 0 = -p + 2*r + 7. Let d(t) = t + 7 - p. Let l(i) = -4*d(i) - m(i). Factor l(w).
-(w - 1)*(w + 1)**2*(4*w + 1)
Let w = -295 + 300. Factor 0 - 1/2*g**4 - 1/4*g**w - 1/4*g**3 + 0*g + 0*g**2.
-g**3*(g + 1)**2/4
Suppose 8*o + 3*o + 198 = 0. Let t be (-4)/6*6/o. Determine n, given that 4/9*n - 2/9*n**2 - t = 0.
1
Let n(a) be the second derivative of -a**4/54 + 8*a**3/27 - 16*a**2/9 + a. Factor n(i).
-2*(i - 4)**2/9
Let k(m) be the second derivative of 3*m**5 - 28*m**4/3 + 22*m**3/3 + 4*m**2 - 12*m. Factor k(y).
4*(y - 1)**2*(15*y + 2)
Suppose 0 = -4*v - 2*w - 2*w - 4, 5*w = -15. Suppose 0*x - v*x = 0. Factor 1/3*s**5 + x*s**4 - 2/3*s**3 + 1/3*s + 0*s**2 + 0.
s*(s - 1)**2*(s + 1)**2/3
Suppose s - 2 = 4. Suppose s*b - 16 = 2*b. Factor 5*f**b + 2 - 5*f**2 + 8*f - 2*f**3 - 2 - 6*f.
f*(f - 1)*(f + 1)*(5*f - 2)
Suppose -12 = -2*a - a. Let i(h) be the first derivative of 1/4*h**a + 0*h**2 - 2 - 7/3*h**3 + 4*h - 1/6*h**6 + 3/5*h**5. Factor i(v).
-(v - 2)**2*(v - 1)*(v + 1)**2
Let z(b) = -b**2 + 7*b. Let o be z(7). Factor o - 1/5*j**2 - 2/5*j.
-j*(j + 2)/5
Let l(v) be the third derivative of -v**6/240 - v**5/60 - v**4/48 + 2*v**2. Factor l(f).
-f*(f + 1)**2/2
Let f be 1/(-3) + (-261)/(-135). Find o such that f*o - 16/5*o**2 + 2*o**4 - 14/5*o**3 + 0 = 0.
-1, 0, 2/5, 2
Let t(x) be the first derivative of 0*x**3 + 1/6*x**4 + 0*x - 1/3*x**2 - 2. Factor t(y).
2*y*(y - 1)*(y + 1)/3
Let x(l) be the third derivative of -l**5/150 + l**4/60 + 2*l**3/15 - 2*l**2 - 21. Determine z so that x(z) = 0.
-1, 2
Factor 7/2*s + 5/2*s**3 + 1/2*s**4 + 0 - 13/2*s**2.
s*(s - 1)**2*(s + 7)/2
Let u = -308559355109/3185 - -96878920. Let p = u - -1/637. Factor p*q**4 + 0*q + 2/5*q**2 - 2*q**3 + 0.
2*q**2*(q - 1)*(4*q - 1)/5
Factor 2/7*w**2 + 0*w**3 - 2/7*w**4 + 0 + 0*w.
-2*w**2*(w - 1)*(w + 1)/7
Let q(g) be the third derivative of -g**7/2520 + g**6/720 + g**5/60 - g**4/12 + 4*g**2. Let f(m) be the second derivative of q(m). What is k in f(k) = 0?
-1, 2
Let h(t) be the third derivative of t**6/360 - t**5/60 + t**4/24 - t**3/3 - 3*t**2. Let j(i) be the first derivative of h(i). Suppose j(c) = 0. What is c?
1
Solve 3/4*u + 0 - 5/8*u**2 + 1/8*u**3 = 0.
0, 2, 3
Let z(t) = -14*t**4 - 42*t**3 - 6*t**2 + 10*t. Let s(g) = -15*g**4 - 41*g**3 - 7*g**2 + 9*g. Let j(c) = -6*s(c) + 5*z(c). Factor j(d).
4*d*(d + 1)**2*(5*d - 1)
Suppose m + 9 = 11. Factor m*z + 1/3*z**2 + 3.
(z + 3)**2/3
Let m be (1 + -1)/(0 + 2). Let q be -2 + (4 - 6 - -4). Factor m - 1/3*z**3 + 0*z + q*z**2.
-z**3/3
Find i, given that -12*i - 2*i**2 - 7*i**3 + 9*i + 14*i**2 - 2 = 0.
-2/7, 1
Let b = -3029/30 - -101. Let y(q) be the second derivative of 0*q**2 - 1/36*q**4 - 3*q - 1/20*q**5 + 0*q**3 - 1/126*q**7 + 0 - b*q**6. Let y(g) = 0. What is g?
-1, 0
Let x be (1194/25)/(12/40). Let m = -158 + x. Factor 0 + 2/5*o**5 + m*o**3 + 6/5*o**4 + 0*o + 2/5*o**2.
2*o**2*(o + 1)**3/5
Let v(d) = d**3 + d**2. Suppose 6 = -2*q + 8. Let b(m) = 3*m**3 - m**2 - 2*m + 2. Let w(u) = q*v(u) - b(u). Factor w(g).
-2*(g - 1)**2*(g + 1)
Let i(t) = t**3 + 8*t**2 - 2*t - 6. Let u be i(-8). Factor -4 + 9*n - 3*n - u*n**3 + 8*n**3.
-2*(n - 1)**2*(n + 2)
Let h = -8 - -7. Let m be (-30)/(-18) + h + 0. Suppose 4/3*p - 2/3*p**2 - m = 0. Calculate p.
1
Let f(d) be the second derivative of -4/3*d**3 + 1/6*d**4 - d + 3*d**2 + 0. Solve f(i) = 0 for i.
1, 3
Let g(i) be the second derivative of -i**6/45 - 2*i**5/15 - i**4/3 - 4*i**3/9 - i**2/3 + 4*i. Factor g(u).
-2*(u + 1)**4/3
Factor 0 + 18/5*u**3 + 14/5*u**2 - 4/5*u.
2*u*(u + 1)*(9*u - 2)/5
Let a(t) be the third derivative of t**10/30240 - t**9/15120 - t**8/6720 + t**7/2520 + t**4/8 - 2*t**2. Let u(x) be the second derivative of a(x). Factor u(g).
g**2*(g - 1)**2*(g + 1)
Suppose 2*b = b - 4, -b + 8 = 4*p. Factor -7*h**p + 2 - 2 + 2*h**2 + 0.
-h**2*(7*h - 2)
Let c(h) be the second derivative of 2*h + 1/2*h**3 + 1/4*h**4 + 1/20*h**5 + 1/2*h**2 + 0. Factor c(i).
(i + 1)**3
Let o(d) = d**5 + d + 1. Let j(k) = -8*k**5 + k**4 + k**3 - k**2 - 7*k - 7. Let i(q) = 2*j(q) + 14*o(q). Solve i(h) = 0 for h.
-1, 0, 1
Let h(y) = y**2 - 3*y. Let z(u) = 2*u**2 - 5*u. Let k = 12 - 7. Let s = 2 + -5. Let n(d) = k*h(d) + s*z(d). Suppose n(l) = 0. What is l?
0
Let m(y) be the third derivative of y**6/840 - y**4/168 - 7*y**2. Factor m(o).
o*(o - 1)*(o + 1)/7
Let q(i) be the second derivative of -i**7/63 + i**5/15 - i**3/9 - 5*i. Let q(h) = 0. Calculate h.
-1, 0, 1
Let r = 145 - 141. Let z(w) be the third derivative of 0*w**3 - 1/48*w**4 + 0*w - 7/240*w**5 - r*w**2 + 0 - 1/60*w**6 - 1/280*w**7. Factor z(q).
-q*(q + 1)**2*(3*q + 2)/4
Let h(y) be the third derivative of -1/120*y**6 - 3*y**2 + 1/3*y**3 - 5/24*y**4 + 1/15*y**5 + 0 + 0*y. Find g, given that h(g) = 0.
1, 2
Let u = 778/9 + -86. Let u + 2/3*d + 2/9*d**2 = 0. Calculate d.
-2, -1
Let z(n) = -5*n - 3*n**2 + n - 6*n - 7*n**2 + 5*n**3. Let p(l) = 4*l**3 - 9*l**2 - 9*l. Let h(q) = 6*p(q) - 5*z(q). Factor h(a).
-a*(a + 2)**2
Let l(f) = f**3 + 4*f**2 - 4*f + 4. Let y be l(-5). Let c be 22/10 + 2/y. Factor 1/5*x**4 + 0 + 0*x + 0*x**3 - c*x**2.
x**2*(x - 1)*(x + 1)/5
Let x be 0*(-1 + (-2)/(-1)). What is f in x*f**2 + 0 + 1/4*f**4 - 1/4*f**3 + 0*f = 0?
0, 1
Suppose -5*n - 2*x = -11, -1 = -0*n - 3*n - 4*x. Let z = 0 + n. Solve 8/7 + 0*u - 38/7*u**2 - 30/7*u**z = 0 for u.
-1, -2/3, 2/5
Let r be 6/40*2/9. Let q(c) be the second derivative of -1/10*c**5 - r*c**6 + 1/6*c**3 + 1/42*c**7 + 0 + 1/6*c**4 - 1/2*c**2 + 2*c. Factor q(s).
(s - 1)**3*(s + 1)**2
Let v(u) be the second derivative of -u**8/33600 + u**6/3600 + u**4/6 - u. Let c(d) be the third derivative of v(d). Factor c(s).
-s*(s - 1)*(s 