 4*c**3/3 + 19*c - 68. Let g(d) be the first derivative of h(d). Factor g(r).
4*r*(r - 1)*(r + 1)**2*(r + 2)
Let l = -1 - -1. Suppose 3222*k = 4544 + 3819 + 4525. Find t, given that -18/5*t + l + 2*t**3 - 2/5*t**k - 6/5*t**2 = 0.
-1, 0, 3
Suppose 14 + 4 = -u. Let z be -2*(-3)/u*(0 - 45). Suppose -4 + 22*o + 92*o**4 + 7*o**2 + z*o**2 - 208*o**3 + 4*o**4 = 0. Calculate o.
-1/3, 1/4, 2
Let l(g) be the first derivative of -55 - 512*g - 8*g**3 + 1/4*g**4 + 96*g**2. Factor l(u).
(u - 8)**3
Let l(x) = -8*x - 45. Let w be l(-6). Determine f, given that 2*f**4 + 16 + 7*f**4 + 1912*f + 32*f**w + f**5 + 56*f**2 - 1864*f = 0.
-2, -1
Factor 900/7 - 900/7*j**2 + 2/7*j - 2/7*j**3.
-2*(j - 1)*(j + 1)*(j + 450)/7
Let w(k) be the first derivative of k**4/5 + 40*k**3/3 - 214*k**2/5 - 624*k/5 - 292. Find b, given that w(b) = 0.
-52, -1, 3
Let h(v) = v**2 + 3*v - 7. Let a be h(-5). Suppose 5 = 4*n + 5*c, 2*c = -4*n + a + 11. Factor 4*y - n + 21*y**2 - 6*y**2 + 6*y.
5*(y + 1)*(3*y - 1)
Let s(f) be the third derivative of 1/21*f**4 + 1/105*f**5 - 8/21*f**3 + 0 - 1/420*f**6 + 0*f + 23*f**2. Let s(b) = 0. What is b?
-2, 2
Let j(y) be the third derivative of y**6/80 + 19*y**5/40 - y**4/16 - 19*y**3/4 + 839*y**2 - 7. Factor j(u).
3*(u - 1)*(u + 1)*(u + 19)/2
Let f be (39/715)/(4/(-10)). Let r = 125/374 - f. Solve 10/17 - 2/17*p**2 - r*p = 0 for p.
-5, 1
Suppose i - 4*b - 122 = -i, -5*i - 4*b = -263. Suppose -9*o - i = -82. Solve 3/2*w**o - 3/8*w**4 - 15/8*w**2 + 3/4*w + 0 = 0.
0, 1, 2
Solve q**4 + 16789 - 33485 + 258*q**3 + 16172 - 1043*q**2 + 1308*q = 0.
-262, 1, 2
Let n(f) be the second derivative of 0*f**2 - 1/18*f**4 - 1/63*f**7 + 0*f**3 - 1 + 1/30*f**5 + 1/45*f**6 - 2*f. Determine g so that n(g) = 0.
-1, 0, 1
Let w(f) be the second derivative of f**4/66 + 80*f**3/33 - 336*f**2/11 - 3*f - 282. Solve w(y) = 0.
-84, 4
Let j = 42 - 38. Factor -25*d + 13*d**4 - 46*d**3 + 2*d**j + 60*d**2 - 3*d**4 - d**5.
-d*(d - 5)**2*(d - 1)**2
Let l be (-1)/(-1*(-2)/(-6)). Let u = -14959 + 14962. Let 246*d**l - 5*d**5 - 105*d - 45 + 15*d**4 - 119*d**3 - 50*d**2 - 97*d**u = 0. Calculate d.
-1, 3
Let l(j) be the second derivative of j**7/840 - 7*j**6/40 + 341*j**5/40 - 961*j**4/24 + 7*j**3 - j + 12. Let i(c) be the second derivative of l(c). Factor i(h).
(h - 31)**2*(h - 1)
Let l(p) be the second derivative of -5*p - 1/18*p**4 + 4 + 2/9*p**3 - 1/3*p**2. Find n such that l(n) = 0.
1
Let s(n) be the first derivative of -n**5/80 + n**4/16 + 3*n**3/8 + 4*n**2 + 3*n + 57. Let j(b) be the second derivative of s(b). Solve j(t) = 0.
-1, 3
Factor 279*o - 5*o**2 - 82*o + 80 - 122*o.
-5*(o - 16)*(o + 1)
Let a = -86828 + 607884/7. Determine o, given that -68/7*o - 48/7*o**2 - a*o**4 + 40/7 + 12/7*o**5 + 152/7*o**3 = 0.
-2/3, 1, 5
Let r be 13 + -1 + (-1921)/255 - 1/(-3). Determine b, given that 0 + 32/5*b - 28/5*b**3 - 24/5*b**4 - 4/5*b**5 + r*b**2 = 0.
-4, -2, -1, 0, 1
Let v(z) be the third derivative of 0 - 99*z**2 + 7/36*z**4 - 2*z - 1/180*z**5 - 4/3*z**3. Suppose v(k) = 0. Calculate k.
2, 12
Let r = -143026 - -1001197/7. Solve -12/7*k + 18/7*k**2 + r*k**3 - 24/7 + 3/7*k**4 = 0 for k.
-2, 1
Solve -5/7*h**3 + 1/7*h**4 + 0 + 0*h**2 + 0*h = 0 for h.
0, 5
Let g be 13495/(-59378)*(0 + (-8)/5). Find v, given that 4/11*v**3 - g*v + 16/11 - 18/11*v**2 + 2/11*v**4 = 0.
-4, -1, 1, 2
Let y(w) be the first derivative of 1/4*w**4 + 1 - 18*w + 4/3*w**3 - 3/2*w**2. Solve y(s) = 0.
-3, 2
Factor 7840*s**3 - 3916*s**3 - 337*s + 425*s**2 + 2743*s - 3919*s**3 + 2844*s.
5*s*(s + 15)*(s + 70)
Let z(s) be the first derivative of s**5/40 - s**4/12 - s**3/12 + s**2/2 + 82*s - 56. Let x(v) be the first derivative of z(v). Solve x(d) = 0 for d.
-1, 1, 2
Suppose 34*z - 10*z - 72 = 0. Let w be z/2 - -2*12/(-16). Let -1/2*l**4 + 3*l**3 + w*l + 0 - 4*l**2 = 0. What is l?
0, 2, 4
Let k = -12951 - -12951. Let m(f) be the first derivative of k*f + 1/14*f**4 - 1/7*f**2 + 2/35*f**5 - 19 - 2/21*f**3. Factor m(d).
2*d*(d - 1)*(d + 1)**2/7
Let h(x) = 2*x**3 + 6*x**2. Let n be 18 - ((0 - 1) + -3). Let v = n + -31. Let u(i) = i**3 + 3*i**2. Let s(c) = v*u(c) + 4*h(c). Factor s(k).
-k**2*(k + 3)
Let x(p) be the third derivative of 3/2*p**3 + 0 + 0*p + 2/35*p**7 + 23/16*p**4 - 139*p**2 + 3/10*p**6 + 17/20*p**5 + 1/224*p**8. Solve x(c) = 0 for c.
-3, -2, -1
Let b(w) be the third derivative of 0 + 8*w**3 + 1/15*w**5 - 109/18*w**4 + 43*w**2 + w. Factor b(f).
4*(f - 36)*(3*f - 1)/3
Let o(u) be the second derivative of u**6/80 - 39*u**5/160 - 21*u + 1. Factor o(i).
3*i**3*(i - 13)/8
Let a(j) be the second derivative of -2*j**7/21 + 52*j**6/15 - 241*j**5/5 + 920*j**4/3 - 2432*j**3/3 + 1024*j**2 - 66*j + 2. Suppose a(u) = 0. Calculate u.
1, 8
Let k = 21530 + -21527. Factor -14/13 + 2/13*a**k - 10/13*a**2 - 2*a.
2*(a - 7)*(a + 1)**2/13
Let u(l) be the first derivative of -1/2*l**4 + 1/3*l**6 + 0*l + 34 - 4/3*l**3 + 4/5*l**5 + 0*l**2. Factor u(r).
2*r**2*(r - 1)*(r + 1)*(r + 2)
Suppose c - 2 = 0, 0 = -4*l + 3*c - 12 + 6. Let f(y) be the first derivative of -4/5*y**5 + 28 + 8/3*y**3 + 0*y**2 - y**4 + l*y. What is a in f(a) = 0?
-2, 0, 1
Let u(p) = -10*p**3 - 12*p**2 - 8*p + 12. Let d(r) = r**3 - r**2 + 1. Let l(z) = 18*d(z) + u(z). Suppose l(i) = 0. What is i?
-1, 1, 15/4
Let w(t) = t**2 + 8*t - 36. Let v be w(15). Let u = -307 + v. Factor -21/5*c - 6/5 - 6/5*c**u + 9/5*c**3.
3*(c - 2)*(c + 1)*(3*c + 1)/5
Let s(r) be the second derivative of -2*r**7/21 - 2*r**6 + 51*r**5/5 - 53*r**4/3 + 12*r**3 - 14775*r. Factor s(p).
-4*p*(p - 1)**3*(p + 18)
Find n, given that 2500/7*n + 0 + 150*n**2 - 96/7*n**3 + 2/7*n**4 = 0.
-2, 0, 25
Let x(l) be the third derivative of -7/30*l**5 + 0*l + 0 + 0*l**3 - 88*l**2 + 1/2*l**4 + 0*l**6 + 1/105*l**7. Solve x(g) = 0.
-3, 0, 1, 2
Let i = 195 - 182. Solve -m**3 - i*m + 613 - 613 - 14*m**2 + 0*m**3 = 0 for m.
-13, -1, 0
Let z(m) be the second derivative of m**5/32 + 73*m**4/96 + 5*m**3/6 - 7*m**2/4 + 15*m - 6. Determine t so that z(t) = 0.
-14, -1, 2/5
Suppose -3*w + w - 2156 = 5*j, 2*j + w = -863. Let f be (-8)/(-44) + j/(-55). Factor k + k**2 + f*k - 2*k - k.
k*(k + 6)
Let t = 235067/169004 + 3/7348. Factor t - 24/23*z + 2/23*z**3 + 0*z**2.
2*(z - 2)**2*(z + 4)/23
Let b = -3643515/11 - -331229. Let -4/11*m**2 - 16/11*m - 2/11*m**5 + b*m**4 + 18/11*m**3 + 0 = 0. What is m?
-2, -1, 0, 1, 4
Let d(a) be the first derivative of a**5/35 - 37*a**4/28 - 53*a**3/7 - 29*a**2/2 - 82*a/7 - 1121. Factor d(l).
(l - 41)*(l + 1)**2*(l + 2)/7
Let f(u) be the third derivative of -u**6/480 + u**5/40 + 9*u**3/2 + 46*u**2. Let n(p) be the first derivative of f(p). Factor n(z).
-3*z*(z - 4)/4
Let x be (5 - 2) + (-4 - -8). Suppose -37*i = -36*i. Solve v**2 + x*v - 5*v + i*v = 0 for v.
-2, 0
Suppose 421*x + 2404 + 2601 + x**2 - 5427 = 0. Calculate x.
-422, 1
Let s(l) be the first derivative of 27/2*l - 45/4*l**2 - 3/8*l**4 - 68 + 7/2*l**3. Solve s(z) = 0.
1, 3
Let c(z) be the third derivative of z**8/42 - 19*z**7/105 - 11*z**6/20 + 13*z**5/30 + 29*z**4/12 + 2*z**3 + 2*z**2 + 123*z. Let c(o) = 0. Calculate o.
-1, -1/4, 1, 6
Suppose 6*o - 526 = -26*o - 398. Let x(a) be the third derivative of -1/20*a**5 - 6*a**2 + 0 + 0*a**o + 0*a + 1/2*a**3. Factor x(u).
-3*(u - 1)*(u + 1)
Let t(j) be the second derivative of j**4/4 + j**3/6 - j**2/2 + 100*j. Let d(l) = 22*l**2 + 13*l - 2. Let r(v) = 4*d(v) - 28*t(v). Factor r(o).
4*(o + 1)*(o + 5)
Let u(a) be the second derivative of a**6/30 - a**5/2 - 17*a**4/12 + 11*a**3 + 5*a - 305. Factor u(h).
h*(h - 11)*(h - 2)*(h + 3)
Let r(w) = 9*w**3 + 13*w**2 - 3*w + 1. Suppose 4*g + 479 - 499 = 0. Let u(k) = -11*k**3 - 15*k**2 + 3*k - 1. Let m(o) = g*u(o) + 6*r(o). Factor m(b).
-(b - 1)**3
Let j be 6 + -3 - 5 - -9. Let r(a) be the first derivative of j - a**2 + 2/3*a**3 - 12*a. What is t in r(t) = 0?
-2, 3
Let o = -1011047 + 1011050. Factor -130/7*g + 66/7 + 62/7*g**2 + 2/7*g**o.
2*(g - 1)**2*(g + 33)/7
Let f(m) = m**3 - 2*m**2 - m + 7. Let y be f(0). Let p = -1 - -4. Factor -y + 4*a**3 - p + 44*a - 11 - 28*a**2 + 1.
4*(a - 5)*(a - 1)**2
Let f(l) be the first derivative of 2/27*l**3 - 7 + 8/3*l + 8/9*l**2. Factor f(h).
2*(h + 2)*(h + 6)/9
Let s(v) be the third derivative of 1/210*v**6 + 23*v - v**2 + 2/105*v**5 + 0 + 0*v**3 + 1/42*v**4. Let s(k) = 0. What is k?
-1, 0
Let t be 40*5/30 + 55/(825/(-90)). Factor -2/