**2 = 0. Calculate y.
-1, 2
Let i(z) be the third derivative of -z**5/20 - 7*z**4/8 - 5*z**3 + 4*z**2. Solve i(n) = 0.
-5, -2
Suppose i + 15 = 4*f + 8, 3*f + 4*i = 29. Factor 0 + 1/2*u**f + 1/2*u**2 + 0*u.
u**2*(u + 1)/2
Let r(i) = 16*i**3 - 31*i**2 - 16*i + 20. Let h(l) = 3*l**3 - 6*l**2 - 3*l + 4. Let k(j) = -11*h(j) + 2*r(j). Factor k(p).
-(p - 4)*(p - 1)*(p + 1)
Let c(h) be the third derivative of h**5/60 - h**4/12 + 4*h**2. Solve c(v) = 0 for v.
0, 2
Let j be 4/(-2)*(-1)/4. Let v(p) = -p**2 - 6*p + 2. Let y be v(-6). Find k, given that j*k**y + 2 + 2*k = 0.
-2
Let w(u) be the second derivative of -u**6/420 - u**2 + 2*u. Let n(h) be the first derivative of w(h). Suppose n(v) = 0. What is v?
0
Let j(d) = -2*d**4 - 4 - 4*d**4 + 6*d**2 - 2*d - 4*d**2 + 6*d**3. Let z(x) = 5*x**4 - 5*x**3 - 2*x**2 + 2*x + 3. Let l(p) = -3*j(p) - 4*z(p). Factor l(n).
-2*n*(n - 1)**2*(n + 1)
Let l(k) be the second derivative of k**9/35280 + k**8/15680 - k**7/5880 - k**6/1680 - k**4/6 - 6*k. Let t(z) be the third derivative of l(z). Factor t(u).
3*u*(u - 1)*(u + 1)**2/7
Let f = -4 - -4. Suppose -14 = -2*a - 5*a. Find y, given that f*y + 0 + 1/5*y**a = 0.
0
Let o = -7 - -9. Factor 4 + 9*f - 3*f**2 - o*f**2 - 2*f**3 - 5*f - f**3.
-(f - 1)*(f + 2)*(3*f + 2)
Let h(a) be the third derivative of a**5/180 - 5*a**4/36 + 25*a**3/18 + 9*a**2. Let h(f) = 0. Calculate f.
5
Let w = 71/1515 - -2/101. Let o(s) be the third derivative of -1/150*s**5 + 1/30*s**4 + 0 - w*s**3 - 3*s**2 + 0*s. Factor o(i).
-2*(i - 1)**2/5
Let o be 42/(-132) + (2 - 1). Let n = o + -91/198. Let 0*a - 2/9*a**2 + n = 0. What is a?
-1, 1
Let m be 12 + -14 + (0 - -2). Determine j, given that 4/9*j**4 + 2/9*j**3 + m*j**2 + 0*j + 0 + 2/9*j**5 = 0.
-1, 0
Let y(g) = -g**3 + 2*g**2 - 2*g + 1. Let u be y(1). Suppose u = -5*w - 14 + 39. Solve 238*k**4 - 8*k - 8*k - 74*k**5 - 36*k**3 - 88*k**2 - 24*k**w = 0 for k.
-2/7, 0, 1, 2
Let k(j) be the first derivative of j**4/4 + j**3/3 - 5*j**2 + 8*j - 32. Solve k(f) = 0 for f.
-4, 1, 2
Let h(q) = 5*q**5 + q**4 - 3*q**3 - 4*q**2 - 2*q - 3. Let s(b) = -9*b**5 - 3*b**4 + 5*b**3 + 8*b**2 + 4*b + 5. Let k(d) = -5*h(d) - 3*s(d). Factor k(f).
2*f*(f - 1)*(f + 1)**3
Let s = -826/9 - -5872/63. Determine h so that s*h**4 + 0 - 2/7*h**3 - 8/7*h**5 + 0*h**2 + 0*h = 0.
0, 1/4, 1
Let l(t) be the first derivative of t**5/25 - 3*t**4/20 + t**3/15 + 3*t**2/10 - 2*t/5 - 1. Factor l(q).
(q - 2)*(q - 1)**2*(q + 1)/5
Let u(d) = -d**2 - 7*d - 4. Let m be u(-6). Solve -a**5 + 2*a**4 + 2*a**4 - m*a**4 - a**4 = 0 for a.
0, 1
Let u(l) = -20*l**5 - 6*l**4 - 22*l**3 - 14*l**2 + 6*l - 16. Let m(a) = -a**5 - a**4 - a**2 - a. Let t(s) = 36*m(s) - 2*u(s). Find x such that t(x) = 0.
-1, 1, 2
Let s(g) be the second derivative of g**5/30 - g**4/4 + 2*g**3/3 + g**2/2 - 3*g. Let y(d) be the first derivative of s(d). Factor y(c).
2*(c - 2)*(c - 1)
Let c(m) be the third derivative of 0*m**5 + 0 + 1/735*m**7 - 2*m**2 + 0*m**6 + 0*m**3 + 0*m + 0*m**4. Factor c(u).
2*u**4/7
Let g(q) be the second derivative of 1/22*q**4 + 4*q - 1/33*q**3 + 0*q**2 - 3/110*q**5 + 0 + 1/165*q**6. Factor g(t).
2*t*(t - 1)**3/11
Let x be -5*1/(-2) + 0. Let u be 1 + (5 - 3)/2. Factor -x*z**3 + z**u + 0*z + 0.
-z**2*(5*z - 2)/2
Suppose 3*c - 4*r = 0, 29 = 5*c + 5*r - 2*r. Find j such that j**2 - 3 - 3 + 1 + c = 0.
-1, 1
Let g(a) be the third derivative of 0*a - 4/9*a**3 + 2/9*a**4 + 0 + 1/180*a**6 - 3*a**2 - 1/18*a**5. Factor g(o).
2*(o - 2)**2*(o - 1)/3
Let j = 19 - 13. Factor -o**3 - 9*o - o + 1 + 7 - 2*o + j*o**2.
-(o - 2)**3
Let i = -957 - -8615/9. Factor 2/9*r**2 - 2/9*r**3 + 0 + i*r**5 - 2/9*r**4 + 0*r.
2*r**2*(r - 1)**2*(r + 1)/9
Let c(h) be the second derivative of -h**8/6720 - h**7/840 + h**5/30 + h**4/6 - 4*h. Let v(k) be the third derivative of c(k). Factor v(n).
-(n - 1)*(n + 2)**2
Let j(f) be the third derivative of -f**8/90720 + f**7/3780 - f**6/360 + f**5/20 - 4*f**2. Let l(p) be the third derivative of j(p). Factor l(z).
-2*(z - 3)**2/9
Let x(m) be the first derivative of -3*m**4/16 - m**3/4 + 3*m**2/8 + 3*m/4 - 1. Factor x(b).
-3*(b - 1)*(b + 1)**2/4
Suppose -3*v + 16 = -29. Suppose 4*n = 7*n - v. Factor -o**4 + 2*o**5 + 11*o**2 - o + 3*o**4 - 13*o**2 - o**n.
o*(o - 1)*(o + 1)**3
Let n = 9 - 6. Factor 1 - 6*l - n - 3*l**2 + 2.
-3*l*(l + 2)
Let h(f) = -5*f**2 - 25*f + 25. Let i(w) = -w**2 - 6*w + 6. Let g(o) = -6*h(o) + 25*i(o). Factor g(t).
5*t**2
Let c(f) be the second derivative of f**10/120960 - f**9/30240 + f**8/26880 + f**4/6 + 2*f. Let v(a) be the third derivative of c(a). Factor v(t).
t**3*(t - 1)**2/4
What is n in 48/5 - 12*n - 3/5*n**3 + 24/5*n**2 = 0?
2, 4
Suppose 0 + 0*q - 8/5*q**2 - 8/5*q**3 - 2/5*q**4 = 0. What is q?
-2, 0
Let q(a) = a**3 - 6*a**2 + 2*a - 8. Let b(o) = -o + 1. Let x be b(-5). Let g be q(x). Factor g*k + k**4 - 2*k**2 + 1 + 0 - 4*k.
(k - 1)**2*(k + 1)**2
Suppose 0 = -3*i - 13 + 13. Suppose i*h**2 + 0 + 1/3*h - 1/3*h**3 = 0. What is h?
-1, 0, 1
Let h(f) be the third derivative of f**4/12 - f**3/2 - f**2. Let b be h(3). Determine x, given that -3*x + 4*x + 0*x + 1 - x**2 - x**b = 0.
-1, 1
Let q(u) be the second derivative of -u**7/735 + u**5/105 - u**3/21 + u**2 + u. Let j(i) be the first derivative of q(i). Find k such that j(k) = 0.
-1, 1
Suppose 0 = -6*b - 4 + 16. Suppose -1/5*s**b - 3/5*s - 2/5 = 0. What is s?
-2, -1
Factor -5/4*c + 2*c**2 - 3/2 + 3/4*c**3.
(c - 1)*(c + 3)*(3*c + 2)/4
Let l be ((-15)/9)/5*-12. Let w be (l/3)/(5/3). Find m, given that 1/5 - 4/5*m**3 + 1/5*m**4 + 6/5*m**2 - w*m = 0.
1
Let a(n) be the first derivative of n**5/60 - n**4/8 + n**3/3 + n**2/2 + 3. Let b(i) be the second derivative of a(i). Let b(o) = 0. What is o?
1, 2
Factor -3*a**2 - 9 + 6*a + 1 + 5.
-3*(a - 1)**2
Let x(r) = 2*r + 1. Let j be x(4). Factor 12*h**2 + 8*h + 7*h - j*h**3 - 17 - 12 + 23.
-3*(h - 2)*(h + 1)*(3*h - 1)
Let k(x) be the first derivative of 9*x**4/4 - 5*x**3/4 - 3*x**2/4 - 2. Factor k(c).
3*c*(3*c - 2)*(4*c + 1)/4
Let l(m) = 6 + m**2 + 0*m + 9 + 4*m - 14. Let x(o) = -2*o**2 - 5*o - 2. Suppose 10 + 2 = -2*t. Let h(r) = t*l(r) - 4*x(r). Solve h(a) = 0.
1
Let d be -3 - 4/(16/(-111)). Let i = 25 - d. Factor -i*o**2 + 1/4*o**3 + 0*o + 0.
o**2*(o - 1)/4
Suppose 2*b + 3*b = -3*r + 45, r - 55 = -5*b. Let h = 15 - b. Factor -8/3 + 4*q - 2*q**2 + 1/3*q**h.
(q - 2)**3/3
Let b(s) = -s**3 - 16*s**2 - 9*s - 13. Suppose 8*g + 28 = 3*g + t, -4*t = 3*g + 26. Let d(u) = -4*u**2 - 2*u - 3. Let l(h) = g*b(h) + 26*d(h). Factor l(w).
2*w*(w - 1)*(3*w - 1)
Let f be (-2 - 1*-7) + -1. Let 3*l**4 - 2 + 4*l**2 + 3*l**4 - 8*l**f = 0. What is l?
-1, 1
Let g(m) be the third derivative of -m**6/540 + m**5/270 + m**4/54 + 4*m**2. Solve g(w) = 0 for w.
-1, 0, 2
Let s(q) = -q**2 + 5*q - 3. Suppose 0 = -5*y + 4*i + 23, 3*y + i = 4*i + 15. Let u be s(y). Find w, given that 0 + 1/2*w**2 - 1/2*w**4 - 1/2*w + 1/2*w**u = 0.
-1, 0, 1
Let z = -15 + 20. Let j(f) be the third derivative of f**3 + 0*f + 4*f**2 + 5/8*f**4 + 0 + 1/40*f**6 + 1/5*f**z. Solve j(k) = 0 for k.
-2, -1
Factor -1/3*y**2 + 1/3*y**4 - 1/3*y**3 + 0 + 1/3*y.
y*(y - 1)**2*(y + 1)/3
Let s(m) be the third derivative of m**6/300 - m**5/30 + m**4/15 - 4*m**2. Let s(h) = 0. What is h?
0, 1, 4
Let z = 244/1125 - -2/375. Find b, given that 10/9*b**3 - 2/3*b**2 + 2/9 - 4/9*b**4 - z*b = 0.
-1/2, 1
Let p(o) = -2*o**3 - 2*o**2 + 2*o - 2. Let z = 4 + -2. Suppose z*d + 2 = 3*d. Let u(a) = -a**2 - 1. Let s(i) = d*u(i) - p(i). Factor s(r).
2*r*(r - 1)*(r + 1)
Let h(s) = 8*s**4 + 5*s**3 - 3*s + 3. Let n(i) = -7*i**4 - 5*i**3 + 2*i - 2. Let p(v) = 2*h(v) + 3*n(v). Factor p(k).
-5*k**3*(k + 1)
Let w(y) be the second derivative of -y**6/15 + 3*y**5/10 - 4*y**3/3 + 2*y. Factor w(o).
-2*o*(o - 2)**2*(o + 1)
Let r be (-2)/(-8) + 14/8. Let d(h) = -4*h - 1. Let q be d(-1). Factor 1 - q*s + 2*s**r - 3 - 3*s**2.
-(s + 1)*(s + 2)
Let j(p) = -p**5 + p**3 - p**2 + p - 1. Let t(y) = 21*y**5 + 3*y**4 - 24*y**3 + 12*y**2 - 15*y + 21. Let v(k) = 18*j(k) + t(k). Factor v(n).
3*(n - 1)**2*(n + 1)**3
Let f(d) = -3*d - 13. Let w be f(-6). Let o(u) be the third derivative of u**2 + 0 + 0*u + 0*u**3 - 3/20*u**w + 1/8*u**6 - 1/4*u**4. Factor o(q).
3*q*(q - 1)*(5*q + 2)
Let o(z) be the first derivative of 2*z**5/35 + z**4/14 - 31. Factor o(l).
2*l**3*(l + 1)/7
Let a = -8 - -11. Suppose -2*l - 4*s 