*l**2.
2*l*(l + 1)/5
Suppose q - 6 = -q. Factor 3/7*g**4 + 3/7*g**5 + 0*g + 0*g**2 + 0*g**q + 0.
3*g**4*(g + 1)/7
Let u(y) be the second derivative of 0*y**2 - 3*y - 2/27*y**3 + 5/54*y**4 - 2/45*y**5 + 1/135*y**6 + 0. What is b in u(b) = 0?
0, 1, 2
Let d(g) be the first derivative of -g**4/2 + 4*g**3/3 + 4*g**2 - 16*g + 10. Find k, given that d(k) = 0.
-2, 2
Let v(q) be the first derivative of 3*q**5 + 5*q**4/6 - 5*q**3 - 5*q**2/3 + 1. Determine z, given that v(z) = 0.
-1, -2/9, 0, 1
Suppose 0*d - d - m = -6, -m - 18 = -3*d. Suppose -3*q - 3*v + 24 = 0, d*q - v - 34 = q. Factor 3*p**3 - 2*p + 0*p - 8*p**3 - q*p**2.
-p*(p + 1)*(5*p + 2)
Let m(i) = -5*i**3 - 5*i**2 - 2*i. Let w(n) = 36*n**3 + 36*n**2 + 15*n. Let k be -5*(-3 + 34/10). Let s(c) = k*w(c) - 15*m(c). Factor s(q).
3*q**2*(q + 1)
Let h(d) = d**3 + 10*d + 9*d**2 + 5 - 2*d**2 + 0*d**2 + d. Let l be h(-5). Determine y so that 1/4 - 1/4*y**2 + l*y = 0.
-1, 1
Let c = -1/58 - -131/870. Factor -4/15*p**2 + 0 - c*p**3 + 0*p.
-2*p**2*(p + 2)/15
Let p = 88 - 83. Let u(j) be the second derivative of 0*j**3 - 1/12*j**4 + 0*j**p + 0*j**2 + 0 + 1/30*j**6 - 4*j. Find i, given that u(i) = 0.
-1, 0, 1
What is w in 12*w - 10*w + 5*w**3 + w**3 - 6*w**2 - 2*w**4 = 0?
0, 1
Let h(q) be the second derivative of q**6/240 - q**5/60 - q**2 - 3*q. Let z(j) be the first derivative of h(j). Suppose z(d) = 0. What is d?
0, 2
Factor 1/2*u + 1/2*u**2 + 0.
u*(u + 1)/2
Find k such that -20 - 26*k**2 + 20*k**3 - 13*k - 15*k**4 - 4*k - 3*k + 61*k**2 = 0.
-1, -2/3, 1, 2
Let t(h) = -3*h**3 + 3*h**2 - 5*h - 11. Suppose -f = -2*m + 25, 36 = 4*m - f - 11. Let g(u) = -u**3 + u**2 - 2*u - 4. Let a(j) = m*g(j) - 4*t(j). Factor a(k).
k*(k - 2)*(k + 1)
Let u = 1843/21 + -263/3. Let h(x) be the first derivative of -1/14*x**4 - 4 + 2/7*x + 1/7*x**2 - u*x**3. Factor h(b).
-2*(b - 1)*(b + 1)**2/7
Let w(f) be the first derivative of f**6/720 - f**4/48 + f**3 - 2. Let d(k) be the third derivative of w(k). Suppose d(r) = 0. What is r?
-1, 1
Let h be ((-8)/220)/((-24)/10). Let y(x) be the third derivative of 0 + 0*x**3 + 0*x - 2*x**2 + h*x**4 - 1/330*x**5. Suppose y(r) = 0. Calculate r.
0, 2
Let k(m) be the second derivative of -8*m**7/21 + 2*m**6/3 + 7*m**5/5 - 2*m**4/3 - 4*m. Suppose k(l) = 0. What is l?
-1, 0, 1/4, 2
Let p = 2317419/119 + -19474. Let u = p - -3/17. What is c in -u*c + 2/7*c**2 + 0 = 0?
0, 1
Let k = 3 + 3. Let b(j) be the third derivative of -1/12*j**4 + j**2 + 0*j + 0*j**3 + 0*j**5 + 0 + 1/60*j**k. Solve b(x) = 0.
-1, 0, 1
Let v(s) = s**3 + 5*s**2 + s + 7. Let w be v(-5). Factor -12*u - u**2 - 8 + 2*u**w - 3*u**2 - 2*u**2.
-4*(u + 1)*(u + 2)
Let p = 98 - 195/2. Factor -b - p - 1/2*b**2.
-(b + 1)**2/2
Let d be -3 - ((-12)/4 + -24). Let z be ((-2)/(-10))/(3/d). Suppose 6/5*g**3 + 2/5*g**5 + 0 - z*g + 8/5*g**4 - 8/5*g**2 = 0. What is g?
-2, -1, 0, 1
Let w = -12 - -12. Factor w*t**3 + 3*t**2 - 9*t**3 - 3*t - 3*t**4 - 12*t**2 + 0*t**3.
-3*t*(t + 1)**3
Let j be (6234/(-2870))/(-3) + -1. Let x = 2/205 - j. Factor 0 - x*t**4 + 0*t**3 + 0*t + 2/7*t**2.
-2*t**2*(t - 1)*(t + 1)/7
Suppose 4*o + 2 = 2*h, 5*o - 4*o + 3 = h. Factor -c**3 - o*c**5 + 8*c**4 - 5*c**2 + 16 - c**3 - 15*c**2 + 8*c.
-2*(c - 2)**3*(c + 1)**2
Let g be 3/((-1)/5 - 0). Let o be (-51)/g + (-2 - 1). Factor 2/5*p - o*p**2 - 2/5*p**3 + 0 + 2/5*p**4.
2*p*(p - 1)**2*(p + 1)/5
Let k = -25 - -41. Suppose -k = 2*n + n - 4*r, 3*r = 3*n + 12. Factor n*c**3 + c**3 - c**5 + 0*c**3.
-c**3*(c - 1)*(c + 1)
Let o be (-8)/((-5)/(5/2)). Let g = -2 + o. Factor -5*z + 2*z**g + 3*z - 4*z**2.
-2*z*(z + 1)
Solve 6/7*l**4 - 12/7*l**3 + 0 - 1/7*l**5 - 3/7*l + 10/7*l**2 = 0 for l.
0, 1, 3
Suppose -4*p**2 + 8/9*p**3 + 16/3*p - 16/9 = 0. Calculate p.
1/2, 2
Let m(j) be the third derivative of j**5/60 - 7*j**4/12 + 49*j**3/6 + 8*j**2. Factor m(n).
(n - 7)**2
Let q(r) be the first derivative of 4 + 0*r + 0*r**3 + 0*r**2 + 1/12*r**4 + 1/36*r**6 - 1/10*r**5. Factor q(z).
z**3*(z - 2)*(z - 1)/6
Let r(i) be the second derivative of 4*i**7/7 + 4*i**6/15 - 17*i**5/10 + 7*i**3/3 - 2*i**2 + i. Find h such that r(h) = 0.
-1, 1/2, 2/3
Let x(i) be the second derivative of -5*i**7/378 + 14*i**6/135 - 4*i**5/15 + 4*i**4/27 + 8*i**3/27 - 28*i. Factor x(l).
-l*(l - 2)**3*(5*l + 2)/9
Let l = -5 - -11. Suppose -9*j**3 + l*j**3 + 2*j**3 + j**4 = 0. Calculate j.
0, 1
Let j(f) be the third derivative of -f**5/12 + 5*f**4/24 + 27*f**2. Find i such that j(i) = 0.
0, 1
Let j(u) be the second derivative of 0*u**2 - 3/20*u**5 + 0*u**3 + 2*u - 1/30*u**6 + 0 - 1/6*u**4. Factor j(p).
-p**2*(p + 1)*(p + 2)
Find s such that -2/5*s**3 - 12/5*s**2 - 16/5 - 24/5*s = 0.
-2
Let v(d) be the first derivative of 3*d**4/2 + 10*d**3/3 + d**2 - 2*d + 8. Let v(p) = 0. What is p?
-1, 1/3
Let u(b) be the second derivative of -5*b**7/14 - b**6/6 + 2*b**5 - 5*b**4/3 + 2*b + 21. Solve u(q) = 0.
-2, 0, 2/3, 1
Let c(h) = -19*h**3 - 30*h**2 - 5*h - 7. Let d(w) = -13*w**3 - 20*w**2 - 3*w - 5. Let p(f) = -f + 2. Let j be p(-5). Let r(x) = j*d(x) - 5*c(x). Factor r(z).
2*z*(z + 2)*(2*z + 1)
Let w(c) be the third derivative of -1/20*c**5 + 0*c + c**2 + 1/4*c**4 - 2/3*c**3 + 0 + 1/240*c**6. Determine i so that w(i) = 0.
2
Let j(h) be the second derivative of 6*h + 0*h**3 + 1/20*h**5 + 0*h**2 + 0 + 1/12*h**4. Find n, given that j(n) = 0.
-1, 0
Let h(d) = -98*d**2 + 82*d - 16. Let p(t) = 98*t**2 - 81*t + 15. Let u(l) = -3*h(l) - 2*p(l). Factor u(j).
2*(7*j - 3)**2
Factor 3/2 + 1/2*h**2 + 2*h.
(h + 1)*(h + 3)/2
Let l be (19/342)/(2/3). Let p(k) be the second derivative of -1/20*k**6 + 0 + l*k**4 - 1/20*k**5 + 1/4*k**2 + k - 1/84*k**7 + 1/4*k**3. Factor p(d).
-(d - 1)*(d + 1)**4/2
Let w be (-2)/(-6) - (-20)/(-150). Let p(d) be the first derivative of 0*d**4 - 2 - d + 0*d**2 + 2/3*d**3 - w*d**5. Factor p(y).
-(y - 1)**2*(y + 1)**2
Let p be (2/(-9))/(672/(-18)). Let o(w) be the third derivative of 1/30*w**6 + 0 + 0*w**7 + w**2 - 1/12*w**4 + 0*w + 0*w**3 + 0*w**5 - p*w**8. Factor o(v).
-2*v*(v - 1)**2*(v + 1)**2
Let x be (-4)/(-10) - 181/(-440). Let n = -1/88 + x. Factor -2*o**2 + n*o**3 - 2/5 + 8/5*o.
2*(o - 1)**2*(2*o - 1)/5
Factor -g**2 - 1/4*g**3 + 0 - g.
-g*(g + 2)**2/4
Let i = -13 + 10. Let y = i - -8. Let 2/9*v**4 + 0*v - 2/9*v**y + 0 - 2/9*v**2 + 2/9*v**3 = 0. Calculate v.
-1, 0, 1
Suppose -2/7*p**3 + 0 + 0*p + 2/7*p**2 = 0. What is p?
0, 1
Let i(o) be the second derivative of -o**4/12 - 5*o**3/6 - 2*o**2 + 5*o. Suppose i(d) = 0. Calculate d.
-4, -1
Let y = 2 - 2. Suppose -3*t = -y*t. Factor -4/7*z**4 + t*z - 2/7*z**3 + 0 + 0*z**2 - 2/7*z**5.
-2*z**3*(z + 1)**2/7
Let j(d) = 5*d**2 + 6*d - 7. Let y be j(1). Let -2*f - 4/7 - 8/7*f**y + 2*f**3 + 12/7*f**2 = 0. Calculate f.
-1, -1/4, 1, 2
Let s = 1144 - 1144. Factor -12/7*i**2 + 18/7*i + s + 2/7*i**3.
2*i*(i - 3)**2/7
What is q in q - 12*q**2 + 16*q**2 - 2*q**3 + q - 4 = 0?
-1, 1, 2
Let d(t) = -t**2 + t + 4. Let o be d(0). Suppose -o = -l - l. Factor -w - 4 + 9*w**3 - w**3 - 24*w**l + 19*w.
2*(w - 2)*(2*w - 1)**2
Suppose 5*k + 9*k = 5*k. Solve 3/2*a - 3/2*a**3 + k + 0*a**2 = 0 for a.
-1, 0, 1
Suppose 8*n - 17*n = -18. Factor -2/7*j**n + 4/7*j + 0.
-2*j*(j - 2)/7
Let r(p) be the second derivative of -p**7/28 + p**6/8 - 3*p**5/20 + p**4/16 - 6*p. Factor r(i).
-3*i**2*(i - 1)**2*(2*i - 1)/4
Let n(u) be the second derivative of -u**6/135 - u**5/45 + 2*u**3/27 + u**2/9 + 5*u. Suppose n(v) = 0. What is v?
-1, 1
Factor 0*g**3 + 10*g**3 + 8*g**2 + 2*g + 6*g**2 + 2*g.
2*g*(g + 1)*(5*g + 2)
Let y(j) be the second derivative of -3*j**5/20 + 2*j**4 - 7*j**3/2 + 7*j + 5. Factor y(r).
-3*r*(r - 7)*(r - 1)
Suppose -4*n = -2*n - 3*d + 1, 3*n - 3*d = 3. Let 2*x - 4*x**3 + 3*x**3 - 3*x**2 - n*x**3 = 0. Calculate x.
-1, 0, 2/5
Suppose 15 = p + 4*p. Suppose f - 5*n - p = 0, 2*f - 4*n - 13 = -n. Suppose f*x**3 - 4*x**2 - 1/2 - 7/2*x = 0. Calculate x.
-1/4, 1
Let l(j) be the third derivative of j**9/15120 - j**8/6720 - j**7/1260 - j**4/8 - j**2. Let x(t) be the second derivative of l(t). Factor x(r).
r**2*(r - 2)*(r + 1)
Let r(m) be the first derivative of -1/40*m**6 - 3/20*m**5 - 2*m**2 - 1/2*m**3 - 3/8*m**4 + 0*m + 4. Let i(d) be the second derivative of r(d). Factor i(b).
-3*(b + 1)**3
Let u(k) be the third derivative of k**6/720 - k**5/180 - k**4/36 + 2*k**3/9 - 17*k**2. Factor u(i).
(i - 2)**2*(i + 2)/6
Let s(