 the second derivative of -2*s + 0 - 1/3*s**3 + 0*s**2 + 1/6*s**4. Let q(c) = 0. Calculate c.
0, 1
Let o(k) be the third derivative of k**8/40320 + k**5/20 - k**2. Let r(z) be the third derivative of o(z). Factor r(i).
i**2/2
Let c(h) be the first derivative of 0*h**2 + 2 + 1/21*h**3 - h + 1/42*h**4. Let d(w) be the first derivative of c(w). Let d(n) = 0. Calculate n.
-1, 0
Let w be (-1 - -3)/((-4)/(-42)). Let g be (2/w)/((-3)/(-7)). What is i in -g*i**5 + 4/9*i**3 - 2/9*i + 4/9*i**2 - 2/9*i**4 - 2/9 = 0?
-1, 1
Let q(t) be the first derivative of -t**3/12 + t**2/4 - t/4 - 6. Determine p, given that q(p) = 0.
1
Factor 2*n**3 - 78*n + 34*n + 2*n**3 + 28*n.
4*n*(n - 2)*(n + 2)
Let p(o) be the third derivative of o**6/40 - 11*o**2. Solve p(j) = 0.
0
Let c(t) be the second derivative of -t**8/6048 + t**7/3780 + t**6/1620 + t**4/12 + t. Let o(x) be the third derivative of c(x). Suppose o(n) = 0. What is n?
-2/5, 0, 1
Let y be (0 - 3)/((-12)/8). Let x be 3/12 - y/(-4). Factor -x*g**2 + 2*g - 1.
-(g - 2)*(3*g - 2)/4
Suppose 2*o = 4*z - 2*o - 12, 2*z = -2*o - 6. Suppose 0*f**4 - f**4 + z*f**4 = 0. Calculate f.
0
Let i(k) be the second derivative of k**10/25200 - k**9/5400 + k**7/1575 + k**4/12 + 4*k. Let u(s) be the third derivative of i(s). Suppose u(l) = 0. What is l?
-2/3, 0, 1, 2
Let n = -200 - -202. Determine w so that 1/2*w**3 - 5/6*w**n - 2/3*w**5 + 0 + 5/6*w**4 + 1/6*w = 0.
-1, 0, 1/4, 1
Let g(l) = -4*l**3 - 5*l**2 + 11*l + 3. Let z(r) = r**3 + r**2 - 3*r - 1. Let s(k) = -2*g(k) - 9*z(k). Factor s(j).
-(j - 3)*(j + 1)**2
Suppose 0 = -2*n - 2*n. Factor n*p**2 - p - 2*p**3 - p**4 - 3*p**2 - p**3.
-p*(p + 1)**3
Let y(t) be the third derivative of -1/30*t**3 + 0*t + 0 + 1/60*t**4 - 6*t**2 - 1/300*t**5. Let y(j) = 0. Calculate j.
1
Let u = 109 + -106. Factor 0*x + 0 + 2/7*x**u + 2/7*x**2.
2*x**2*(x + 1)/7
Let h(m) = m**3 + 18*m**2 - 21*m - 36. Let l be h(-19). Solve -2/7*s**l + 1/7 + 0*s + 1/7*s**4 + 0*s**3 = 0.
-1, 1
Let n be 1/(-21) + (-4)/(-12). Suppose 5*c + 2*d = c - 2, -5 = 5*d. Factor c - n*j**2 + 2/7*j.
-2*j*(j - 1)/7
Let k(x) = -x**2 - 4*x - 1. Let s be k(-5). Let y be (-3)/s*(-5 + 15). Let 2/3*q**y - 2/3*q**3 + 2/3*q**4 + 0 + 0*q - 2/3*q**2 = 0. Calculate q.
-1, 0, 1
Let m(v) be the first derivative of 2/15*v**5 + 0*v + 2 - 1/6*v**4 - 2/9*v**3 + 1/3*v**2. Solve m(l) = 0.
-1, 0, 1
Solve -7*o + 2 - 132*o**3 - 8 + 133*o**3 = 0 for o.
-2, -1, 3
Let r = 11 - 109/10. Let j(s) be the second derivative of 0*s**3 + r*s**6 + 0 - 1/21*s**7 + 0*s**5 + 3*s + 0*s**2 - 1/12*s**4. Factor j(w).
-w**2*(w - 1)**2*(2*w + 1)
Let q = 2 + 0. Suppose -c + q + 2 = 0. Factor f**3 + 2*f**c - 3*f**3 - 6*f**4 - 2*f**5 + 0*f**4.
-2*f**3*(f + 1)**2
Let a be ((4 - 1)/9)/1. Factor -1/3 + 1/3*b**2 - a*b + 1/3*b**3.
(b - 1)*(b + 1)**2/3
Let x(r) = r**3 - 15*r**2 - 15*r - 14. Let a be x(16). Determine v so that -24/5*v + 8/5 + 2*v**a = 0.
2/5, 2
Let q(k) = -2*k + k**4 + 4*k + 1 + k**5 + k**2 - 2*k - k**3. Let t(j) = 2*j**5 + 6*j**4 - 2*j**3 + 2*j**2 + 4. Let a(u) = -4*q(u) + t(u). Factor a(l).
-2*l**2*(l - 1)**2*(l + 1)
Factor 5 + 12*o**2 + 2*o**3 - 3*o**3 - 5*o**2 + 0 - 11*o.
-(o - 5)*(o - 1)**2
Let s = 2/459 + 2132/2295. Let l(v) be the first derivative of -s*v**3 - 1/2*v**4 + 0*v - 2/5*v**2 + 4. Factor l(n).
-2*n*(n + 1)*(5*n + 2)/5
Let k(g) = -g**3 - 2*g**2 - 4*g - 6. Let i(m) = -m**3 - 3*m**2 - 4*m - 7. Let u(w) = 6*i(w) - 7*k(w). Determine z so that u(z) = 0.
0, 2
Let k be ((-16)/12)/(-6*4/54). Let x(g) be the third derivative of -1/60*g**5 + 0*g**k + 3*g**2 + 0*g + 0 + 1/12*g**4 - 1/120*g**6. Factor x(c).
-c*(c - 1)*(c + 2)
Let x(o) be the second derivative of -o**7/420 + o**6/80 - o**5/40 - o**4/6 + 2*o. Let z(c) be the third derivative of x(c). Determine n so that z(n) = 0.
1/2, 1
Let n be ((-8)/10)/(286/(-65)). Factor -n*d**3 + 0 - 4/11*d**2 - 2/11*d.
-2*d*(d + 1)**2/11
Let g(h) = 2*h - 9. Let a be g(6). Suppose 10 = 4*f - 6. Solve 6*b**a - 4/3*b**2 + 0 - 6*b**f + 0*b = 0 for b.
0, 1/3, 2/3
Suppose -b = -2*b + 4. Let a(f) = -3*f**3 + 2*f**2 - f - 7*f - 2*f**2 - b*f**2. Let z(h) = -h**3 - 2*h**2 - 4*h. Let d(k) = 3*a(k) - 7*z(k). Factor d(r).
-2*r*(r - 2)*(r + 1)
Suppose 5*f + 25 = 7*y - 2*y, 3*y = -4*f - 6. Find x, given that 2/5*x**y + 2/5*x**3 - 2/5*x - 2/5 = 0.
-1, 1
What is r in 8/9 - 22/9*r**2 - 2/3*r**3 - 16/9*r = 0?
-2, 1/3
What is g in -4*g + 3*g - 2*g**2 - g = 0?
-1, 0
Factor 2/9*v**3 + 0 + 4/9*v - 2/3*v**2.
2*v*(v - 2)*(v - 1)/9
Let x = -79/3 + 27. Find q, given that -5/3*q**5 + q**2 + 7/3*q**3 + 0 - x*q - q**4 = 0.
-1, 0, 2/5, 1
Let i(t) be the third derivative of t**5/240 - t**4/96 - t**3/12 + 24*t**2. Let i(g) = 0. Calculate g.
-1, 2
Let p(s) be the first derivative of 1/8*s**4 + 2*s**2 + 2 - 5/6*s**3 - 2*s. Find z such that p(z) = 0.
1, 2
Let n(j) be the third derivative of -7*j**6/200 - j**5/15 + j**4/40 + j**3/15 - 8*j**2. Determine i so that n(i) = 0.
-1, -2/7, 1/3
Let t be 5 - (66/15 + -1). Suppose 8/5*d**4 - 8/5*d**2 + 2/5*d**5 - t*d + 0 + 6/5*d**3 = 0. What is d?
-2, -1, 0, 1
Let j = -92/63 - -11/7. Let n(l) be the second derivative of 1/18*l**4 + 0 + 3*l - 1/30*l**5 - 1/3*l**2 + j*l**3. Determine m so that n(m) = 0.
-1, 1
Let w(r) = 4*r + 60. Let x be w(-15). Factor -2/3*t**3 + 2/3*t**2 - 2/3*t**4 + 2/3*t + x.
-2*t*(t - 1)*(t + 1)**2/3
Let p(m) be the third derivative of m**5/60 - m**4/24 + 8*m**2. Factor p(l).
l*(l - 1)
Let i(y) be the first derivative of -y**4/4 + 11*y**3/3 - 12*y**2 - 36*y + 13. Find l such that i(l) = 0.
-1, 6
Factor -4*u**4 - 30*u**3 + 108 + 12*u**3 - 72*u**2 - 14*u**3.
-4*(u - 1)*(u + 3)**3
Let n = -217589/123 + 1769. Let b = 361/492 - n. Factor -b*r**2 - 1/4 - 1/4*r**3 - 3/4*r.
-(r + 1)**3/4
Let m(f) be the second derivative of 4/3*f**3 + 0*f**2 - 5/3*f**4 + 4/5*f**5 + f - 2/15*f**6 + 0. Factor m(z).
-4*z*(z - 2)*(z - 1)**2
Let n = -4 + 7. Suppose -2*x - 4*x**2 - 2*x**n + 2*x + 0*x**2 = 0. Calculate x.
-2, 0
Let a(z) = z**2 - 4*z + 4. Let l be a(4). Suppose -2 = -v + l. Find u such that -u**2 + u**2 - 3*u - v + 3*u**2 = 0.
-1, 2
Let s(v) be the second derivative of 0 + 1/2*v**2 + 1/12*v**4 + 1/3*v**3 + 3*v. Suppose s(b) = 0. Calculate b.
-1
Let t(d) be the third derivative of -d**7/1785 + d**6/170 - 11*d**5/510 + d**4/34 + 54*d**2. Find o such that t(o) = 0.
0, 1, 2, 3
Let l be 4 + 0 + 0 + -2. Factor 2/5*a**3 + 0*a**l + 0*a + 2/5*a**4 + 0.
2*a**3*(a + 1)/5
Let p(q) be the third derivative of q**5/240 + q**4/16 + 3*q**3/8 + q**2. Factor p(o).
(o + 3)**2/4
Let b(f) be the first derivative of 1/2*f**2 + 0*f - 11/12*f**4 + 2/3*f**3 + 13/30*f**5 - 1/15*f**6 + 1. Let h(t) be the second derivative of b(t). Factor h(r).
-2*(r - 2)*(r - 1)*(4*r - 1)
Let s = 13 + 6. Suppose -2 = -4*a + 5*x, a - 5*x = 4*a - s. Let -m - m**3 - m + m + 2*m**a = 0. Calculate m.
-1, 0, 1
Let h(k) be the first derivative of -k**8/336 - k**7/70 - k**6/40 - k**5/60 - 5*k**2/2 + 5. Let u(d) be the second derivative of h(d). Factor u(w).
-w**2*(w + 1)**3
Suppose -42*b + 60 = -22*b. What is a in -2/5*a**4 - 72/5*a**2 - 108/5*a - 54/5 - 4*a**b = 0?
-3, -1
Suppose 0 = -2*l - 4*k - 22, 2*k = 2*l + k + 32. Let j be (-25)/l - (-1)/(-1). Determine f so that j*f**2 - 2/9*f**3 - 2/3*f + 2/9 = 0.
1
Determine n so that 18/7*n**2 + 24/7 - 3/7*n**3 - 36/7*n = 0.
2
Let u be 2 - 1*(2 + -3). Find i, given that 2*i**2 + u - 12*i + 3*i**2 + 18*i**3 - 7*i**2 + 5*i**2 = 0.
-1, 1/3, 1/2
Suppose -6*y + 3*j + 19 = -y, -4*y - 4*j = -28. Determine t so that -4*t**2 + 3/2*t - 11*t**3 + 1 - 9*t**4 - 5/2*t**y = 0.
-1, 2/5
Let a be (-64)/(-110) + ((-48)/(-30) - 2). Factor -4/11*i**3 + a*i - 2/11*i**2 + 0.
-2*i*(i + 1)*(2*i - 1)/11
Suppose 3*v + g + 3*g + 2 = 0, -3*v + 4*g = -38. Factor -4*i**4 + 2*i**4 + v*i**3 + 20 - 20.
-2*i**3*(i - 3)
Suppose -49 = 4*u - i, -3*u - 2*i - 43 = -4*i. Let s be (-1)/(-2) + 11 + u. Solve 0*k**2 - 1/4*k**4 + s*k - 1/2*k**3 + 1/4 = 0 for k.
-1, 1
Let h(a) = -a**2 - 5*a + 5. Let k be h(-5). Factor -g**4 - g**3 - g**5 + g**k + g**2 + g**5.
g**2*(g - 1)**2*(g + 1)
Suppose 3*c + 78 = -p, -2*p + 0*c = -4*c + 146. Let d be (-5)/(p/51) - 3. Suppose -d*s**2 - 6/5*s - 4/5 = 0. What is s?
-2, -1
Let w = 61 + -55. Let s(t) be the second derivative of -4*t + 0*t**3 + 1/10*t**w + 0 + 0*t**2 + 1/4*t**4 + 3/10*t**5. Factor s(y).
3*y**2*(y + 1)**2
Let k(d) = d + 18. L