0. Let c(z) be the second derivative of s(z). Let c(f) = 0. Calculate f.
-2, 2
Let u(r) be the second derivative of -r**5/40 - r**4/24 + r**3/3 + r**2 - 17*r + 4. What is o in u(o) = 0?
-2, -1, 2
Let p(f) be the second derivative of -f**9/7560 + f**8/2100 - f**7/2100 + 7*f**3/6 + 13*f. Let s(i) be the second derivative of p(i). Factor s(g).
-2*g**3*(g - 1)**2/5
Let o(r) be the first derivative of r**3/18 + 3*r**2 + 54*r + 41. Factor o(i).
(i + 18)**2/6
Let q(y) be the first derivative of -y**6/240 + y**4/96 + y - 1. Let x(a) be the first derivative of q(a). Solve x(m) = 0.
-1, 0, 1
Suppose -8*l + 5*l = 0. Suppose -c + 5*z = 1 - 3, l = -4*z. Factor -20*f + 0*f - f**3 + 4 + 6*f**c + 11*f.
-(f - 4)*(f - 1)**2
Find i, given that -20/9*i**3 + 22/3*i**2 - 8*i + 2/9*i**4 + 0 = 0.
0, 3, 4
Suppose i + 3*l = 5, 4*l - 17 = -11*i + 9*l. Factor -2/17*k**i + 0*k - 2/17*k**3 + 0.
-2*k**2*(k + 1)/17
Let q(x) be the third derivative of x**7/840 - x**5/40 + x**4/12 - 17*x**3/6 + 9*x**2. Let j(b) be the first derivative of q(b). Factor j(f).
(f - 1)**2*(f + 2)
Let r(w) be the first derivative of -w**6/90 + 2*w**5/15 - 2*w**4/3 - 5*w**3 + 30. Let j(o) be the third derivative of r(o). Find s such that j(s) = 0.
2
Let g(l) be the third derivative of -13*l**2 + 0*l + 0 - 1/14*l**4 + 3/7*l**3 + 1/210*l**5. Find c, given that g(c) = 0.
3
Let b = 4 + -4. Suppose 10 = 5*s, 3*n - 4*s + 0 - 1 = b. Factor -47*p**n - 5*p - 4 - p + 49*p**3.
2*(p - 2)*(p + 1)**2
Let r(q) be the third derivative of q**7/70 + 7*q**6/40 + 9*q**5/20 - 27*q**4/8 - 27*q**3 - 239*q**2. Factor r(d).
3*(d - 2)*(d + 3)**3
Determine k so that -18/5*k**2 - 2/5*k**3 - 16/5*k + 0 = 0.
-8, -1, 0
Let p be (2/(-5))/((-2)/20). Suppose -6*j + j = -10. Factor -2*a**j - 2*a**3 - 2*a**4 + 0*a + a**p + 3*a**4 + 2*a.
2*a*(a - 1)**2*(a + 1)
Let k be (-5)/(-28) + 0/2. Let l = k + 4/7. Factor -1/4*p**4 + 5/4*p**3 + 0 - l*p**2 - 9/4*p.
-p*(p - 3)**2*(p + 1)/4
Suppose 10 - 101/3*j - 16/3*j**2 + 7/3*j**3 = 0. Calculate j.
-3, 2/7, 5
Let a(i) be the second derivative of 7*i**4/15 - 12*i**3/5 - 18*i**2/5 + 12*i. Factor a(x).
4*(x - 3)*(7*x + 3)/5
Suppose -17*x = -14*x - 381. Let s = 129 - x. Factor 4/3 + 0*y - 1/3*y**s.
-(y - 2)*(y + 2)/3
Let j be (5/(15/(-9)))/((-9)/42). Let p be 1/(j/32*4). Factor -p*w + 1/7*w**2 + 4/7.
(w - 2)**2/7
Let w = 30131 + -241047/8. Factor 1/8*r - w*r**3 - 1/4*r**2 + 1/4.
-(r - 1)*(r + 1)*(r + 2)/8
Let y(l) be the second derivative of l**10/90720 + l**9/22680 + l**4/3 - 14*l. Let k(g) be the third derivative of y(g). Find t such that k(t) = 0.
-2, 0
Let n be -1 + 5 + -4 + 6. Suppose p - n = -x, 3*p - x = -2*x + 10. Factor 10/7*d + 2/7 + 8/7*d**p.
2*(d + 1)*(4*d + 1)/7
Solve -27*r - 11 - 83/4*r**2 + 1/4*r**4 - 9/2*r**3 = 0 for r.
-2, -1, 22
Let o(x) be the third derivative of -x**5/36 - 155*x**4/72 - 75*x**2 - 3*x. Suppose o(m) = 0. What is m?
-31, 0
Suppose 300*g - 222 = 322 + 56. Factor -p - 3 + 1/4*p**g.
(p - 6)*(p + 2)/4
Let p = 156 + -2026/13. Suppose 234 = -2*r + 238. Determine c so that 0 + p*c**r + 0*c = 0.
0
Let l(h) be the first derivative of -3*h**3/4 - 37*h**2/4 - 4*h - 220. Find s such that l(s) = 0.
-8, -2/9
Find f, given that 0*f - 1/4*f**5 - f**2 + 0 + 1/4*f**3 + f**4 = 0.
-1, 0, 1, 4
Let 0*k**4 - 136/13*k + 48/13 + 132/13*k**2 - 46/13*k**3 + 2/13*k**5 = 0. Calculate k.
-6, 1, 2
Let g(u) = 20*u**4 + 208*u**3 + 492*u**2 - 708*u - 12. Let j(l) = -8*l**4 - 83*l**3 - 197*l**2 + 283*l + 5. Let m(w) = -5*g(w) - 12*j(w). Factor m(k).
-4*k*(k - 1)*(k + 6)**2
Let p(z) be the first derivative of -z**5/5 + 3*z**4/4 + 7*z**3/3 - 15*z**2/2 - 18*z + 51. Factor p(q).
-(q - 3)**2*(q + 1)*(q + 2)
Let w(k) be the first derivative of -k**5/5 + 5*k**4/3 - 16*k**3/3 + 8*k**2 + 20*k - 4. Let p(r) be the first derivative of w(r). Suppose p(y) = 0. Calculate y.
1, 2
Factor 0*g**2 + 3918*g + 3*g**2 - 3906*g + 12.
3*(g + 2)**2
Let f(d) be the third derivative of 0 + 0*d**3 + 1/21*d**5 - 35*d**2 + 0*d + 1/420*d**6 + 25/84*d**4. Factor f(t).
2*t*(t + 5)**2/7
Determine d so that 4 + 15*d - 12*d**2 - 1 - 2 + 17 + 9*d**2 = 0.
-1, 6
Factor 165*r**2 + 171*r**2 + 103*r**3 + 193*r**2 + r**3 + 4*r**4 + 243*r**2 + 576 + 1248*r.
4*(r + 1)**2*(r + 12)**2
Let d(z) be the second derivative of -37/50*z**5 - 4/15*z**3 + 0*z**2 - 123/100*z**6 + 0 + 31/30*z**4 - 27/140*z**7 + 39*z. Solve d(m) = 0 for m.
-4, -1, 0, 2/9
Let d be (-9)/(-126)*(7 + 1 - 4). Suppose 0*v + 0 + 2/7*v**3 - d*v**5 - 4/7*v**2 + 4/7*v**4 = 0. Calculate v.
-1, 0, 1, 2
Let n(v) be the second derivative of -v**7/84 + v**6/12 - v**5/10 - 39*v + 2. Find i, given that n(i) = 0.
0, 1, 4
Let o be -3 + 58 + 1 - 2. Determine m, given that -88 - o*m - 7 - 152 + 4 - 3*m**2 = 0.
-9
Solve p**4 - 7/2*p**5 - 2*p**2 - 7/2*p + 7*p**3 + 1 = 0.
-1, 2/7, 1
Let g(u) be the first derivative of u**6/66 - u**4/22 + u**2/22 - 15. Factor g(z).
z*(z - 1)**2*(z + 1)**2/11
Let a(q) be the second derivative of q**7/84 + q**6/12 + q**5/8 - 5*q**4/24 - q**3/2 + 4*q - 21. Determine p, given that a(p) = 0.
-3, -2, -1, 0, 1
Let l be (-5)/(15/(-9)) + -5. Let b(a) = -6*a + 2. Let y be b(l). Determine h so that 17*h**2 - 2*h - 4*h - y*h**2 = 0.
0, 2
Let q(t) be the third derivative of t**7/25200 - t**6/3600 - t**5/400 + t**4/6 - 4*t**2. Let j(w) be the second derivative of q(w). Solve j(h) = 0 for h.
-1, 3
Let i(j) = j - 1. Let w(s) = -14*s**2 + 24*s + 10. Let x(k) = -k**3 - 3*k**2 + 8*k - 8. Let h be x(-5). Let c(z) = h*w(z) + 44*i(z). Factor c(d).
-4*(d - 3)*(7*d - 2)
Let r(a) be the second derivative of a**4/12 - 19*a**3/3 - 40*a**2 - 2*a - 23. Determine k so that r(k) = 0.
-2, 40
Suppose -1/2 + 1/4*i + 1/4*i**2 = 0. What is i?
-2, 1
Let u(n) be the third derivative of n**5/90 - 3*n**4/4 + 8*n**3 + 335*n**2 + n. Determine o, given that u(o) = 0.
3, 24
Suppose 2*j**5 + 7*j**4 - 13*j**4 - 8*j - 4*j**3 - 9*j + j + 24*j**2 = 0. Calculate j.
-2, 0, 1, 2
Let l(g) = -g**2 + 13*g - 20. Let u be l(11). Let c(p) = 3*p. Let r be c(1). Factor -11*b - 18*b**2 - 80*b**3 + 65*b**r - 2 + 46*b**u.
-(b - 1)**2*(15*b + 2)
Let s(f) be the first derivative of f**7/1050 - f**5/50 - f**4/15 + f**3/3 + 12. Let b(y) be the third derivative of s(y). Factor b(w).
4*(w - 2)*(w + 1)**2/5
Factor -10/9 + 8/9*y + 2/9*y**2.
2*(y - 1)*(y + 5)/9
Let s(t) = 2*t**5 + 4*t**4 + 12*t**3 - 4*t**2 - 10*t - 4. Let x(y) = y**5 + 4*y**4 + 11*y**3 - 4*y**2 - 9*y - 3. Let c(l) = 3*s(l) - 4*x(l). Factor c(w).
2*w*(w - 3)*(w - 1)*(w + 1)**2
Let l = 1506 - 15059/10. Let p(z) be the second derivative of -2/5*z**5 + 0 - 1/2*z**4 + 0*z**3 + 15*z - l*z**6 + 1/2*z**2. Solve p(s) = 0.
-1, 1/3
Let b(q) = -q**3 + 6*q**2 + 7*q + 2. Let d be b(7). Let s be d/8 - 81/(-12). Let l**2 + l + l**2 + 0*l**2 + s*l + 6 = 0. Calculate l.
-3, -1
Factor -2*z**2 + 3*z**2 + 13*z - 4*z - 6 - 4*z**2.
-3*(z - 2)*(z - 1)
Suppose 0 = -5*k + 4*k - 3. Let u = k - -6. Determine z so that 5*z + 0 + 4*z**2 + 7*z + 5 + u = 0.
-2, -1
Let f = -3 - -8. Suppose 3*j = -2*v + f, -2*v - 25 + 9 = -4*j. Solve -j*w**3 + 6*w**2 - 8*w**4 + 3*w**5 - 2*w**4 + 4*w**4 = 0 for w.
-1, 0, 1, 2
Suppose 17*f - 20*f = -9. Factor -2/7*p**f - 32/7*p + 0 - 16/7*p**2.
-2*p*(p + 4)**2/7
Suppose -27*y - 722 = -456 - 509. Let -y*i**2 - 3*i - 3/4*i**5 - 9/2*i**4 + 0 - 39/4*i**3 = 0. What is i?
-2, -1, 0
Let j(n) be the second derivative of n**7/42 - n**5/2 + 5*n**4/3 - 5*n**3/2 - 3*n**2/2 - 14*n. Let p(o) be the first derivative of j(o). Factor p(s).
5*(s - 1)**3*(s + 3)
Let r(b) be the first derivative of -3*b**5/20 + 21*b**4/4 - 39*b**3/2 + 57*b**2/2 - 75*b/4 + 39. Solve r(i) = 0 for i.
1, 25
Let f(a) = -a**2 - 11*a + 113. Let k be f(6). Let s(g) be the third derivative of -1/15*g**6 + 1/5*g**5 + 0 + 0*g + 1/6*g**3 + 5/16*g**4 - k*g**2. Factor s(h).
-(h - 2)*(4*h + 1)**2/2
Let w = -16237 + 16240. Solve -2/7*d**w - 18/7*d**2 - 30/7*d + 50/7 = 0 for d.
-5, 1
Find q, given that 3*q - 300*q**2 + 299*q**2 - 23*q - 19 = 0.
-19, -1
Let s(h) be the first derivative of -h**5 + 10*h**4 + 15*h**3 + 2. Factor s(t).
-5*t**2*(t - 9)*(t + 1)
Solve -42*p**2 - 9*p**2 + 4*p**3 - 5*p + p - p**2 + 52 = 0 for p.
-1, 1, 13
Let b(v) = v**3 + 8*v**2 + 7*v + 3. Let a = 18 - 25. Let q be b(a). Suppose 9*f**q + 4*f**2 - 9*f + 19 + 3*f**4 - f**2 - 25 = 0. Calculate f.
-2, -1, 1
Suppose -6*z + 8*z = 1572. Solve 286 - 45*u**