33*r**4 + 45*r**2 + 0*r**2 + 38*r**4.
5*r**2*(r - 3)**2
Factor 2*b**3 - b**4 + 2*b**2 - 2*b + 0*b**4 - 2*b**2 + b**2.
-b*(b - 2)*(b - 1)*(b + 1)
Let g(v) be the third derivative of v**5/210 + v**4/14 + 3*v**3/7 + 10*v**2. Factor g(n).
2*(n + 3)**2/7
Let u(y) be the third derivative of y**5/60 + y**4/24 + 7*y**2. Suppose u(q) = 0. What is q?
-1, 0
Suppose 4*y + 12 = 0, -y = -0*x + 4*x - 13. Suppose -5*v - 36 = -4*h, 5*v = x*v - 4. Let 2*r**3 + 3*r**h - 19*r**5 + 4*r**3 + 16*r**5 = 0. Calculate r.
-1, 0, 2
Let u = 30 - 28. Let o(j) be the second derivative of 0 + j + 2*j**u - 2/3*j**3 + 1/12*j**4. Let o(a) = 0. Calculate a.
2
Let f = -2572/21 + 862/7. Factor y + 1/3*y**2 + f.
(y + 1)*(y + 2)/3
Let d(j) = -2*j**2 + 9*j + 39. Let v(m) = -m**2 - m + 1. Let p(z) = -4*d(z) + 12*v(z). Factor p(h).
-4*(h + 6)**2
Let x(a) be the second derivative of a**7/63 + 19*a**6/45 + 53*a**5/15 + 35*a**4/9 - 539*a**3/9 + 343*a**2/3 + 3*a - 3. Factor x(o).
2*(o - 1)**2*(o + 7)**3/3
Let l(r) be the second derivative of -r**7/7560 - r**6/540 - r**5/90 + r**4/6 + 2*r. Let p(y) be the third derivative of l(y). Factor p(k).
-(k + 2)**2/3
Let h be -2*(-1)/((-4)/(-2)). Let n be (-3)/h*(-4)/8. Factor -2*d**3 + 1/4 - n*d**2 + 3/4*d.
-(d + 1)*(2*d - 1)*(4*d + 1)/4
Let o(q) be the second derivative of -q**7/1470 + q**6/210 - q**5/105 + 3*q**3/2 + 10*q. Let i(z) be the second derivative of o(z). Factor i(g).
-4*g*(g - 2)*(g - 1)/7
Suppose -55 = -5*i - 0*i. Suppose i = 7*h - 3. Factor 6/7*a**3 + 0 + 2/7*a**4 + 6/7*a**h + 2/7*a.
2*a*(a + 1)**3/7
Factor -678 - 4*v + 1351 - 671 + 2*v**2.
2*(v - 1)**2
Let q(s) = 2*s**5 + 3*s**4 + 3*s**3 + 3. Let j = 11 + -8. Let l(t) = 2*t**5 + 4*t**4 + 4*t**3 + 4. Let p(i) = j*l(i) - 4*q(i). Factor p(d).
-2*d**5
Let p(x) be the second derivative of -1/4*x**4 + 1/3*x**3 - 2*x + 0 - 1/4*x**2 - 1/60*x**6 + 1/10*x**5. Determine d, given that p(d) = 0.
1
Solve 2*n**2 + 3*n**2 + 4*n**4 - 6*n - 9 + 3*n**2 - 3*n**4 + 6*n**3 = 0 for n.
-3, -1, 1
Factor 0*n - 1/3*n**3 + 0 - 2/3*n**2.
-n**2*(n + 2)/3
Let m(u) be the second derivative of -u**7/42 + u**6/5 - u**5/4 + 2*u - 33. Factor m(b).
-b**3*(b - 5)*(b - 1)
Let q(k) be the second derivative of -k**7/840 + k**6/240 - k**4/3 - 5*k. Let y(o) be the third derivative of q(o). Suppose y(h) = 0. What is h?
0, 1
Let a(y) be the second derivative of -y**8/8960 - y**7/840 - y**6/192 - y**5/80 + y**4/4 + 8*y. Let t(h) be the third derivative of a(h). Factor t(w).
-3*(w + 1)**2*(w + 2)/4
Let k(n) be the first derivative of 0*n - 4 - 2/3*n**3 - 1/2*n**4 + n**2 + 2/5*n**5. Determine g, given that k(g) = 0.
-1, 0, 1
Let k(c) be the first derivative of -c**5/45 - 33. Factor k(a).
-a**4/9
Factor 1/3*p**3 + 1/3*p**2 + 0*p + 0.
p**2*(p + 1)/3
Let h(d) be the third derivative of d**6/60 - 2*d**5/45 - d**4/36 + 2*d**3/9 + 13*d**2. Factor h(r).
2*(r - 1)**2*(3*r + 2)/3
Let f(i) = 12*i - 8. Let z(y) = y**2 - y - 1. Let w(r) = -f(r) - 4*z(r). Determine l, given that w(l) = 0.
-3, 1
Determine g so that 2/13*g**5 - 2/13*g**2 + 6/13*g**3 + 0 - 6/13*g**4 + 0*g = 0.
0, 1
Let q(x) = 3*x - 3. Let p be q(2). Suppose -2/7*o**p + 2/7*o**4 + 0 - 2/7*o**2 + 2/7*o = 0. What is o?
-1, 0, 1
Let o = 661 + -37015/56. Let b = 221/168 + o. Determine h, given that 32/3*h - 77/3*h**4 + b + 17/3*h**3 + 73/3*h**2 - 49/3*h**5 = 0.
-1, -2/7, 1
Let c(o) be the third derivative of -o**5/60 + o**4/12 + 4*o**2. Let c(k) = 0. What is k?
0, 2
Let z(w) = w + 7. Let s be 86/(-18) - 8/36. Let n be z(s). Determine i, given that -2 - 6*i**n + 2*i**4 - 3*i**3 + i**3 + 2*i + 6 = 0.
-1, 1, 2
Let g(d) be the first derivative of 5*d**6/36 + d**5/15 - 5*d**4/12 - 2*d**3/9 + 5*d**2/12 + d/3 - 17. Solve g(u) = 0.
-1, -2/5, 1
Let w(u) be the third derivative of u**7/840 - u**5/80 - u**4/48 + 8*u**2. Solve w(v) = 0.
-1, 0, 2
Suppose 3*q - 1 = 2*q. Let h be ((-2)/(-9) - 1) + q. Factor -2/9*v**2 + 0 + h*v.
-2*v*(v - 1)/9
Let m(t) be the third derivative of t**6/280 - t**5/105 - 5*t**4/168 + t**3/21 + 18*t**2. Find j such that m(j) = 0.
-1, 1/3, 2
Find p such that 4/7*p**4 + 32/7*p**3 - 108/7 + 0*p + 72/7*p**2 = 0.
-3, 1
Let r(f) be the third derivative of -f**7/70 - f**6/30 + f**5/60 + f**4/12 + 4*f**2. Factor r(h).
-h*(h + 1)**2*(3*h - 2)
Let w = -16 - -24. Let s = w - 7. Let 4*k**2 - 6 + s + 7 - 6*k = 0. What is k?
1/2, 1
Let o(n) be the second derivative of -n**7/210 + n**6/30 + n**5/30 - n**4/2 - n**3 + 2*n. Let q(d) be the second derivative of o(d). What is s in q(s) = 0?
-1, 1, 3
Let r(s) = -s**3 - 5*s**2 - 9*s - 6. Let g be r(-2). Factor g - 2/3*p + 1/3*p**2.
p*(p - 2)/3
Suppose 0 = -0*c + 5*c - 10. Let z = 13 - 11. Factor -4*t**2 + t**3 - c*t + 2*t**2 + t**z.
t*(t - 2)*(t + 1)
Factor -2/7*x**2 - 6/7*x + 8/7.
-2*(x - 1)*(x + 4)/7
Let r(y) be the first derivative of -y**4/20 + y**3/15 + y**2/10 - y/5 + 5. Factor r(j).
-(j - 1)**2*(j + 1)/5
Let i(b) = -2*b**3 - 7*b**2 - 7*b - 4. Let p be i(-4). Let g be ((-32)/p)/(4/(-6)). What is f in -1/5*f + 0*f**2 + 8/5*f**4 + g*f**3 + 3/5*f**5 + 0 = 0?
-1, 0, 1/3
Let b = 4 + 8. Factor -14 + b - 3*i**2 + 5*i + 0*i.
-(i - 1)*(3*i - 2)
Suppose -q + 5 - 1 = 0. Let -x**4 - 2*x**2 + 5*x**3 - 4*x**q + 2*x**3 = 0. What is x?
0, 2/5, 1
Factor 4/9 + 1/9*z - 1/9*z**3 - 4/9*z**2.
-(z - 1)*(z + 1)*(z + 4)/9
Let s(b) be the third derivative of -b**6/300 - b**5/10 - 4*b**4/5 + 64*b**3/15 - b**2 - 24. Factor s(g).
-2*(g - 1)*(g + 8)**2/5
Let -1 - 4*a**2 - 2*a - 3 + a**2 + 5 = 0. Calculate a.
-1, 1/3
Let f(o) = -2*o - 4. Let k be f(-4). Factor 1/3*u**3 - 1/3*u**2 + 0 + 1/3*u**k - 1/3*u.
u*(u - 1)*(u + 1)**2/3
Find y, given that 3*y**4 + 8*y**3 - 93*y + 85*y - 4 + y**4 = 0.
-1, 1
Suppose -p = h + 6, 2*p + 2 = -2. Let z be 3 - ((-15)/5 - h). Factor 3/4*y**z - 1/4 - 1/2*y.
(y - 1)*(3*y + 1)/4
Determine n so that -5/3*n**2 + 1/3*n**4 + 2/3*n - 1/3*n**5 + 0 + n**3 = 0.
-2, 0, 1
Find c such that 1/2*c**3 + c**2 + 0 + 0*c = 0.
-2, 0
Let m = 1150/3 - 380. Let x(l) be the first derivative of m*l**3 - 1/6*l**6 - 5/2*l**2 - 5/2*l**4 + 3 + l + l**5. Factor x(b).
-(b - 1)**5
Let z(m) = -m**2. Let o(u) = 6*u - 3. Let i = 7 - 6. Let a(k) = i*o(k) + 3*z(k). Factor a(w).
-3*(w - 1)**2
Suppose -1 = 4*u - 3*h, 2*u = 3*u - 5*h + 13. Factor 4*m**4 - m**2 - m**2 - 5*m**4 + 3*m**u.
-m**2*(m - 1)*(m + 1)
Suppose -4*j + 25 = -55. Suppose 5 = -4*p + o + 28, j = p - 5*o. What is a in -a**2 + 0 + 3/4*a**3 + 1/4*a + a**4 - a**p = 0?
-1, 0, 1/2, 1
Let p(h) be the second derivative of -h + h**3 + 2*h**2 + 0 + 1/6*h**4. Solve p(i) = 0 for i.
-2, -1
Let u(f) be the third derivative of -f**6/540 + f**4/36 + 2*f**3/27 + 16*f**2. Solve u(l) = 0 for l.
-1, 2
Suppose -5*z = -2*q - q, q = 3*z. Suppose 4*s + q = 8. Suppose 3*h + s*h**2 - 4*h**2 - 5*h = 0. What is h?
-1, 0
Let j(m) be the second derivative of -m**6/70 + m**4/14 - 3*m**2/14 + 29*m. Factor j(y).
-3*(y - 1)**2*(y + 1)**2/7
Suppose 8*x - 3*x = 540. Factor -2 + 162*a**3 + 5 + 81*a**4 + 0*a + 32*a + x*a**2 - 2*a.
3*(a + 1)*(3*a + 1)**3
Suppose 9/7*n**4 + 0 + 0*n - 3/7*n**5 - 6/7*n**3 + 0*n**2 = 0. Calculate n.
0, 1, 2
Suppose -2*i - 30 = 3*i. Let n(g) = 2*g**2 + 6*g. Let l(a) = -3*a**2 - 6*a. Let b(o) = i*n(o) - 5*l(o). Let b(x) = 0. Calculate x.
0, 2
Let p(k) be the third derivative of k**8/4320 + k**7/1260 + k**6/1620 + k**4/4 + 6*k**2. Let s(d) be the second derivative of p(d). Let s(v) = 0. What is v?
-1, -2/7, 0
Let k = 21 + -9. Factor k*n - 4*n**2 - 10*n**2 + 6 + 2 + 12*n.
-2*(n - 2)*(7*n + 2)
Suppose 2*g = 4*t - 2, -t = 2*g - 0 + 22. Let c be 4/18 - 34/g. Find x such that 2/7*x**2 + 2/7*x**c + 4/7*x**3 + 0 + 0*x = 0.
-1, 0
Let p(h) be the third derivative of h**5/510 - h**3/51 - 14*h**2. Factor p(b).
2*(b - 1)*(b + 1)/17
Let s(h) = -h**2 - 17*h + 202. Let o be s(-25). Factor 3/2*v**o + 1/2*v**4 + 0 + 1/2*v + 3/2*v**3.
v*(v + 1)**3/2
Factor 9/5*z**2 + 0 + 3/5*z**3 + 0*z.
3*z**2*(z + 3)/5
Let o(c) = -11*c**2 - 24*c - 34. Let a(w) = 10*w**2 + 24*w + 32. Let t(b) = 7*a(b) + 6*o(b). Suppose t(m) = 0. What is m?
-5, -1
Let j = -257/3 + 1808/21. Let 0*i + 0 + 3/7*i**5 - 3/7*i**2 + 3/7*i**4 - j*i**3 = 0. Calculate i.
-1, 0, 1
Let r = 127 - 887/7. Suppose 5*a = 5, 0 = l + 2*a + 1 - 5. Factor -4/7*z + r*z**l + 2/7.
2*(z - 1)**2/7
Let k(f) be the second derivative of -1/2*f**3 + 6*f - f**2 + 0 - 1/12*f**4. Factor k(x).
-(x + 1)*(