3 + 24*k**2 - 32*k. Factor y(d).
(d + 12)*(11*d - 2)**2
Let o(i) be the third derivative of 0*i - 1/20*i**5 - 9*i**2 - 8*i**3 + 0 + i**4. Factor o(w).
-3*(w - 4)**2
Let c(m) = 2*m**2 + 20*m + 18. Let a be c(-13). Factor 245*r**4 + a*r**2 - 2*r**2 - 385*r**3 - 20*r + 66*r**2.
5*r*(r - 1)*(7*r - 2)**2
Let v(n) be the first derivative of -6*n - 7/2*n**3 + 3*n**2 - 3 + 5/4*n**4. Let z(f) be the first derivative of v(f). Factor z(j).
3*(j - 1)*(5*j - 2)
Let k(g) = g**2 + 23*g + 46. Let f be k(-21). Let s be (-8)/f + 0 + 5 + 0. Solve -6/7*c**2 + 4/7*c + 0 + 2/7*c**s = 0 for c.
0, 1, 2
Factor 13*h**2 + 51822*h - 51822*h + h**3.
h**2*(h + 13)
Let o be 24/14 + -2 + 96/42. Let a = -8 + 11. Determine t so that -1/5*t**o + 1/5*t**a + t**4 + 3/5*t**5 + 0 + 0*t = 0.
-1, 0, 1/3
Let r be (-1)/(1/(-8)) + 15 + -19. Solve -5*o**4 + o**r - 13*o**2 - 10*o**2 + 128*o + 32*o**3 - 73*o**2 - 64 = 0.
2
Suppose -873 - 102 = -5*t + 5*b, -5*t + 2*b + 978 = 0. Let 4*j - 202 + 3*j**2 - j + 0*j + t = 0. What is j?
-2, 1
Let b(f) be the third derivative of -f**6/320 + f**5/80 + f**4/4 - 2*f**3 - 220*f**2. Let b(u) = 0. What is u?
-4, 2, 4
Let a(s) be the second derivative of -3/2*s**2 + 3 - s**3 - 5/16*s**4 + 3*s - 3/80*s**5. Find c, given that a(c) = 0.
-2, -1
Suppose 0 = -6*a - 42 + 42. Let x be (1 + a)*(-1 + -2 + 3). Factor x + 2/7*i**3 + 0*i + 2/7*i**2.
2*i**2*(i + 1)/7
Let o = -585858674/511 - -1146495. Let n = 3/73 + o. Let -20/7*c**2 - n - 18/7*c = 0. Calculate c.
-1/2, -2/5
Let w(r) = 2*r**2 - 50*r - 40. Let t be w(26). Factor 14/3*u**4 + 2/3*u**5 + 44/3*u**2 + t*u**3 + 2 + 26/3*u.
2*(u + 1)**4*(u + 3)/3
Let -159*s - 217*s**4 + 223*s**4 - 2*s**5 - 24*s**2 + 16*s**3 + 127*s = 0. What is s?
-2, -1, 0, 2, 4
Let a(q) be the first derivative of q**4/2 + 46*q**3 + 1155*q**2 - 2450*q - 273. Find u such that a(u) = 0.
-35, 1
Let 16/3*l**4 + 8/3*l - 145/3*l**2 + 3 - 128/3*l**3 = 0. What is l?
-1, -1/4, 1/4, 9
Find i, given that 22/7 + 26/7*i**2 - 2/7*i**3 - 46/7*i = 0.
1, 11
Let w(j) = 6*j**2 - 6*j + 3. Let h(t) = -t**3 + 19*t**2 - 16*t + 8. Let o(m) = 3*h(m) - 8*w(m). Factor o(l).
-3*l**2*(l - 3)
Let g(w) = -2*w**2 + 27*w + 29. Let a(p) = p**2 - 1. Let m(u) = -a(u) + g(u). Solve m(r) = 0 for r.
-1, 10
Let t = 50 + -48. Solve w**4 + 26*w**2 + w**3 - 26*w**t = 0.
-1, 0
Let g = 193 - 193. Let m(k) be the second derivative of 0 + 1/30*k**5 + g*k**2 + 0*k**3 + k - 1/6*k**4. Factor m(b).
2*b**2*(b - 3)/3
Let t(q) be the first derivative of -1/21*q**3 + 41 - 8/7*q**2 - 64/7*q. Determine o, given that t(o) = 0.
-8
Let j(a) = -35*a**2 - 104*a + 8. Let l(z) = -35*z**2 - 105*z + 10. Let o(c) = -5*j(c) + 4*l(c). Factor o(w).
5*w*(7*w + 20)
Let g(w) = -8*w**4 - 12*w**2 + 8*w - 12. Let r(y) = -6*y**4 - 12*y**2 + 8*y - 10. Let v(x) = 5*g(x) - 6*r(x). Suppose v(f) = 0. Calculate f.
-2, 0, 1
Suppose -120*t - 297 = -897. What is s in -6/5*s + 0 - 1/5*s**t + s**2 + 7/5*s**3 - s**4 = 0?
-6, -1, 0, 1
Let v be (-4)/25 + -2 - (-18 - -15). Let r(u) be the first derivative of 3*u**3 + 3/10*u**2 + v*u**5 + 57/20*u**4 + 10 - 6/5*u. Suppose r(h) = 0. Calculate h.
-1, 2/7
Let d(m) = 4*m**3 + 16*m**2 - 32*m + 2. Let r(x) = -9*x**3 - 33*x**2 + 62*x - 5. Let f(u) = -5*d(u) - 2*r(u). Factor f(i).
-2*i*(i - 2)*(i + 9)
Let k(b) be the first derivative of -b**6/30 + 2*b**5/25 + b**4/4 - 2*b**3/3 - 2*b**2/5 + 8*b/5 - 228. Determine t so that k(t) = 0.
-2, -1, 1, 2
Let o = 3/7958 - -700265/103454. Factor 50/13*t**4 + 8/13 - 220/13*t**3 - o*t + 282/13*t**2.
2*(t - 2)**2*(5*t - 1)**2/13
Let y(o) be the third derivative of o**7/2520 - o**4/8 + 21*o**2. Let v(g) be the second derivative of y(g). Factor v(x).
x**2
Let i = -57658/27 - -2136. Let r(s) be the first derivative of 4/9*s - 1 + i*s**3 - s**2. Find m, given that r(m) = 0.
2/7, 1
Let r be -2 + 4/(20/15). Let q(x) be the first derivative of 0*x**2 - 1/12*x**3 + r + 0*x. Find j such that q(j) = 0.
0
Let i be 4*4/(-32)*6*11. Let r be 1 - (-2 + i/(-15)). Factor -2/5*k**3 - r*k**2 + 1/5 + 2/5*k + 3/5*k**4.
(k - 1)**2*(k + 1)*(3*k + 1)/5
Let w(u) be the second derivative of -u**4/4 - 43*u**3/2 - 63*u**2 - 3*u - 4. Factor w(i).
-3*(i + 1)*(i + 42)
Let m = 86/285 + 3/95. Suppose -3*f = w - 6*f, -3*w = -5*f. Factor -m*t**2 + 1/3*t + w.
-t*(t - 1)/3
Suppose 4*x - 135 - 765 = 0. Determine b, given that -61 - 45*b**3 - 375*b + x*b**2 + 61 + 3*b**4 = 0.
0, 5
Let s(a) be the third derivative of 0*a**3 + 4*a**2 + 1/120*a**5 + 0 + 0*a - 1/48*a**4. Solve s(c) = 0.
0, 1
Let z(v) = -3*v**3 - 69*v**2 - 66*v - 6. Let m(n) = -2. Let f(y) = -3*m(y) + z(y). Solve f(i) = 0.
-22, -1, 0
Let d(g) = -g**2 + 11*g + 4. Let i be d(0). Let u(q) be the first derivative of 0*q**2 - 1/4*q**4 + 0*q**3 + i + 0*q + 1/5*q**5. Find h such that u(h) = 0.
0, 1
Determine c, given that 0 - 10/3*c**3 - 50/3*c - 35*c**2 = 0.
-10, -1/2, 0
Solve 2/7*a**5 - 64/7*a**2 - 512/7*a + 0 + 510/7*a**3 + 64/7*a**4 = 0 for a.
-16, -1, 0, 1
Let s(r) be the third derivative of r**8/84 + 13*r**7/105 + r**6/2 + 16*r**5/15 + 4*r**4/3 + r**3 - 14*r**2 + 5. Find z such that s(z) = 0.
-3, -1, -1/2
Let g(x) be the first derivative of x**4/28 + 5*x**3/7 + 24*x**2/7 - 64*x/7 - 25. Suppose g(l) = 0. What is l?
-8, 1
Let j(h) = 10*h + 140. Let w be j(-14). Let q(y) be the second derivative of -1/20*y**5 - 1/4*y**4 + 0 + w*y**2 - 4*y - 1/3*y**3. Factor q(c).
-c*(c + 1)*(c + 2)
Let a = 1758 + -7031/4. Let h(c) be the second derivative of a*c**2 + 1/24*c**3 - 9*c + 0 - 1/48*c**4. Find q such that h(q) = 0.
-1, 2
Let x be ((-6 - -4)/4)/2*126/(-7). Factor 0 - x*y - 3/2*y**2.
-3*y*(y + 3)/2
Let v be 117/520*1/4*2. Let f(s) be the third derivative of 0*s + 0 + 1/2*s**3 + v*s**5 - 3/8*s**4 + 4*s**2. Let f(y) = 0. What is y?
2/3
Let r = -378 + 378. Factor -36/5*i**3 - 8/5*i**2 + r + 0*i.
-4*i**2*(9*i + 2)/5
Let c(z) = 2*z**2 + 17*z - 9. Let y(x) = x - 9 + 3*x + 17*x - 3*x + 3*x**2. Let h(k) = -6*c(k) + 5*y(k). Find s such that h(s) = 0.
1, 3
Let a(r) = -2*r**3 + r**2 + r - 1. Let x(o) = 9*o**3 - 14*o**2 + 29*o - 32. Let s(w) = -20*a(w) - 5*x(w). Factor s(j).
-5*(j - 4)*(j - 3)**2
Solve 57*h - 18*h**2 - 36 - 46*h**2 + 3*h**3 + 40*h**2 = 0 for h.
1, 3, 4
Let r(d) be the second derivative of 2*d**3 + 12*d**2 + 0 - 3/20*d**5 - 3/2*d**4 + 1/10*d**6 + 6*d. Factor r(t).
3*(t - 2)**2*(t + 1)*(t + 2)
Suppose -36 = 6*m - 0*m. Let f be ((-1)/6)/(m/12). What is h in 4/3 - h**2 + 0*h - f*h**3 = 0?
-2, 1
Let y(l) be the first derivative of 3*l**5/5 - 3*l**4/4 - l**3 + 3*l**2/2 + 84. Factor y(h).
3*h*(h - 1)**2*(h + 1)
Let a(w) be the first derivative of 3*w**4/2 - 140*w**3/3 + 988*w**2/3 + 5776*w/3 - 197. Solve a(v) = 0.
-2, 38/3
Solve f**3 - f - 1/2*f**4 + 0*f**2 + 1/2 = 0 for f.
-1, 1
Let a(i) = -4*i**3 + 90*i**2 - 96*i + 46. Let p(g) = -g**3 + 7*g**2 + g - 1. Let y(v) = a(v) - 6*p(v). Suppose y(q) = 0. Calculate q.
-26, 1
Let g(b) be the second derivative of -24*b - 4/15*b**6 + 0*b**4 + 0*b**3 + 1/21*b**7 + 0*b**2 + 0 + 2/5*b**5. Let g(m) = 0. Calculate m.
0, 2
Let r(x) = -3*x**3 - 15*x**2 - 7*x + 7. Let a(t) = t**3 + 7*t**2 + 3*t - 3. Let l(i) = 14*a(i) + 6*r(i). Factor l(g).
-4*g**2*(g - 2)
Let c(f) be the first derivative of 2*f**5/15 + 5*f**4/9 + 2*f**3/3 + 2*f**2/9 - 159. Suppose c(a) = 0. What is a?
-2, -1, -1/3, 0
Suppose -14*p + 8 = -12*p. Let -6*d**3 + 6*d - d**2 - 6*d**2 + 0*d**p + 5*d**2 + 2*d**4 = 0. Calculate d.
-1, 0, 1, 3
Let o(h) be the first derivative of -5*h**4/4 - 5*h**3 + 20*h - 243. Determine c so that o(c) = 0.
-2, 1
Let h(l) = l**2 - 3*l. Let z be h(2). Let p be z/12 - (-57)/18. Factor -p*q**2 + 8*q - 4*q - 3*q**2 - 22*q**3 + 4*q**3.
-2*q*(3*q - 1)*(3*q + 2)
Let c(f) be the second derivative of f**6/210 - 29*f**5/140 - 27*f**4/14 - 134*f**3/21 - 68*f**2/7 + 739*f. Factor c(y).
(y - 34)*(y + 1)*(y + 2)**2/7
Let o(a) be the third derivative of a**11/332640 + a**10/151200 - a**9/30240 - 3*a**5/20 - 6*a**2. Let j(c) be the third derivative of o(c). Solve j(p) = 0.
-2, 0, 1
Let g be ((-2)/(-21))/((-135)/(-5040)). Let u(w) be the first derivative of 4/3*w**2 + 0*w - 10 + 2/5*w**5 + 13/6*w**4 + g*w**3. Factor u(r).
2*r*(r + 2)**2*(3*r + 1)/3
Let f = -2130/67 + 15178/469. Factor f*t**3 + 2/7 + 0*t**2 - 2/7*t**4 - 4/7*t.
-2*(t - 1)**3*(t + 1)/7
Let m(c) be the first derivative of -2/7*c**3 + 10 + 0*c + 2/7*c**2 + 0*c**4 + 2/35*c**5