-2))/(-10 - d). Determine o so that -1/4*o**3 + 0 + i*o**2 + 1/4*o - 1/4*o**4 = 0.
-1, 0, 1
Let g(o) be the third derivative of o**5/15 - 97*o**4/2 + 1156*o**3/3 + 981*o**2. Factor g(t).
4*(t - 289)*(t - 2)
Let l(z) be the first derivative of -z**6/14 + 27*z**5/5 - 1341*z**4/14 - 3070*z**3/7 - 9603*z**2/14 - 3267*z/7 + 387. Factor l(v).
-3*(v - 33)**2*(v + 1)**3/7
Let v = 12528 + -37583/3. Let g(j) be the first derivative of 2/5*j**2 + 2/15*j + 8/15*j**3 + v*j**4 - 8 + 2/25*j**5. Solve g(s) = 0 for s.
-1, -1/3
Suppose 3*f - 20 = 2*l, -2*f - 5*l + 0*l - 12 = 0. Suppose 24*n = 28*n - 20. Suppose 124*a**4 + 3*a**3 + 2*a**3 - 15*a**n - 134*a**f = 0. Calculate a.
-1, 0, 1/3
Suppose 3033 + 2*x**2 + 3016 - 44*x - 9296 + 3097 = 0. What is x?
-3, 25
Let q(u) = -620*u + 137. Let f be q(-15). Let w = f - 160373/17. Let 0 - 16/17*b**4 + 8/17*b + 106/17*b**3 - w*b**2 - 42/17*b**5 = 0. What is b?
-2, 0, 2/7, 1/3, 1
Let n(j) be the first derivative of -3*j**4/4 + 183*j**3 + 3*j**2/2 - 549*j - 2375. Factor n(u).
-3*(u - 183)*(u - 1)*(u + 1)
Let b be -26 + (6400/110 - 30). Factor -2/11*k**3 - 96/11*k + 128/11 + b*k**2.
-2*(k - 4)**3/11
Suppose -167*b + 168*b = -3*o + 3, 4*o + 4 = -4*b. Factor -1/3*d**5 + 5/3*d + 2/3*d**o - 4/3*d**3 - 4/3*d**4 + 2/3.
-(d - 1)*(d + 1)**3*(d + 2)/3
Let i(y) be the third derivative of y**6/540 + 41*y**5/45 - y**4/108 - 82*y**3/9 - 12*y**2 + 17*y. Factor i(u).
2*(u - 1)*(u + 1)*(u + 246)/9
Let v(u) be the first derivative of -u**3/7 - 507*u**2/14 + 510*u/7 + 5005. Suppose v(n) = 0. Calculate n.
-170, 1
Let a(q) = -q**3 - 41*q**2 - 402*q - 34. Let x be a(-25). Factor 24/5*k**2 + 32/5 - x*k + 36/5*k**3.
4*(k + 2)*(3*k - 2)**2/5
Let m(x) be the first derivative of 4*x**5/25 + 8*x**4/5 + 4*x**3/3 - 28*x**2/5 + 2486. Factor m(j).
4*j*(j - 1)*(j + 2)*(j + 7)/5
Let d(g) be the first derivative of g**3/3 - 6*g**2 - 11*g - 11. Let x be d(13). Let 21/8*b**4 - 3/4*b**3 + 15/2*b - 3/2 - 63/8*b**x = 0. What is b?
-2, 2/7, 1
Let u(n) = -n**4 - 5*n**3 + 23*n**2 + 9*n + 2. Let g(t) = 2*t**3 + t**2 + 10*t + 1. Let p(w) = -2*g(w) + u(w). Factor p(l).
-l*(l - 1)**2*(l + 11)
Let s be 0/(-1*2)*(17 + (-1023)/62). Let m(r) be the third derivative of s*r - 1/160*r**6 + 0 - 5/8*r**3 - 3*r**2 - 7/80*r**5 - 11/32*r**4. Factor m(a).
-3*(a + 1)**2*(a + 5)/4
Factor -1/9*c**5 + 2/3*c**4 - 2/9*c**2 - 4/9 + c - 8/9*c**3.
-(c - 4)*(c - 1)**3*(c + 1)/9
Let k = 282 - 272. Let t be -1 + 2 - (56/k + -5). Factor -2*j**4 - 8/5*j**2 + 0 + t*j**5 + 0*j + 16/5*j**3.
2*j**2*(j - 2)**2*(j - 1)/5
Let t(s) be the second derivative of 1/6*s**4 + 1 - 8/3*s**3 + 12*s**2 + 6*s. Find g such that t(g) = 0.
2, 6
Let w(u) = 32*u**2 + 22473*u - 10490744. Let c(b) = 12*b**2 + 7492*b - 3496916. Let v(g) = 11*c(g) - 4*w(g). Solve v(z) = 0.
935
Suppose -4*y - 5*u - 12 = 0, 4*y - u + 8 = -5*u. Suppose 3*k - p = -5*p + 10, -4*p - y = -3*k. Factor -148*n**k + 63*n**2 + 8*n + 73*n**2.
-4*n*(3*n - 2)
Let i be ((-136360)/12175)/(1 - 32/10 - -1). Solve 2/3*m**5 + i*m**3 - 16/3*m**2 - 14/3*m**4 + 0*m + 0 = 0.
0, 1, 2, 4
Let g be (90/(-36))/(1/(-12)). Suppose 0 = 4704*k - 4714*k + g. Find s, given that -4/7*s**k + 256/7 - 192/7*s + 48/7*s**2 = 0.
4
Suppose 8*g - 6*g = 3*n + 687, -3*g + 4*n = -1032. Let t = -1738/5 + g. Suppose 2/5*w**3 - 2/5 - 1/5*w**5 + 4/5*w**2 - 1/5*w - t*w**4 = 0. Calculate w.
-2, -1, 1
Suppose 0 = -93*r + 102*r - 27. Factor 36*t**2 - 2*t**4 - 34*t - 8 + 20 - 6*t**2 - 6*t**r + 0*t**4.
-2*(t - 1)**3*(t + 6)
Let j(d) be the third derivative of -72/35*d**5 - 109/210*d**6 - 44*d**2 - 5/2*d**4 + 0 + 4/21*d**3 + 0*d. Solve j(t) = 0.
-1, 2/109
Suppose -3*h - 36 = -3*c, 30*h + 1383 = 26*h + 93*c. Factor 0 + 2/9*t**4 + 0*t**2 - 14/9*t**h + 0*t.
2*t**3*(t - 7)/9
Let m(s) be the second derivative of s**4/4 + 1554*s**3 + 3622374*s**2 - 13*s - 166. Factor m(x).
3*(x + 1554)**2
Let q(r) = 563*r**2 - 6774*r - 11512455. Let n(s) = 94*s**2 + 2*s - 1. Let h(t) = 30*n(t) - 5*q(t). Determine c, given that h(c) = 0.
-3393
Suppose 4*o + 23*j = 18*j + 32, 0 = 3*o - 5*j + 11. Let m = -4 + 7. Factor -5*h**3 - 11*h**m - o*h + 22*h**3 - 3*h**5.
-3*h*(h - 1)**2*(h + 1)**2
Find f, given that 25/8 + 1/8*f**2 - 5/4*f = 0.
5
Factor -152/3*i**2 + 310/3*i - 52 - 2/3*i**3.
-2*(i - 1)**2*(i + 78)/3
Let q(y) = 5*y**3 + 182*y**2 - 1149*y + 1050. Let d(k) = k**3 + k**2 + 9*k. Let z(p) = 8*d(p) - q(p). Let z(o) = 0. What is o?
1, 7, 50
Factor -3/2*r - 2*r**2 + 5.
-(r + 2)*(4*r - 5)/2
Factor -876/7*j - 1768/7 + 4/7*j**2.
4*(j - 221)*(j + 2)/7
Suppose -12*n - 2/3*n**4 + 4/3*n**3 + 16/3*n**2 + 6 = 0. Calculate n.
-3, 1, 3
Suppose -7 = m + 13. Let q = 1 - m. Let -5 + 21*a**4 - q*a + 7*a**3 + 11 - 36*a**5 + 6*a**3 - 27*a**2 + 44*a**3 = 0. Calculate a.
-1, -2/3, 1/4, 1
Let x(c) be the third derivative of 3*c**6/100 + 53*c**5/75 - 23*c**4/5 + 56*c**3/15 + 105*c**2 + 4. Factor x(w).
2*(w - 2)*(w + 14)*(9*w - 2)/5
Factor -4174 - 5196 + 10522 + 34*y**2 - 352*y - y**3.
-(y - 18)*(y - 8)**2
Suppose -5*y = 3*g - 77, 5*g + 69 = 2*y + 2*y. Suppose r = -4*c - r + y, -3*c + r + 2 = 0. Let 23*k - 3*k + 437*k**c - 412*k**2 = 0. What is k?
-4/5, 0
Factor -1155*k - 5146*k**2 - 5143*k**2 + 10284*k**2.
-5*k*(k + 231)
Let l = -29589 + 147946/5. Factor 3/5*p - l*p**2 - 2/5.
-(p - 2)*(p - 1)/5
Let z(p) = -142*p**2 + 665*p - 663. Let m(c) = 85*c**2 - 332*c + 331. Let n(o) = -10*m(o) - 6*z(o). Find w such that n(w) = 0.
1, 334
Let n(w) be the third derivative of w**7/630 - 13*w**6/360 + 19*w**5/180 + 11*w**4/24 - 1972*w**2. Factor n(u).
u*(u - 11)*(u - 3)*(u + 1)/3
Let x(u) = -3*u**3 - u**2 + 9*u + 9. Let y be (-2)/(-8)*(-29 - -25). Let g be x(y). Let -14/3*d**3 + 8/3*d**5 + 4/3*d**g + 0*d + 0 - 10/3*d**4 = 0. What is d?
-1, 0, 1/4, 2
Let b(w) be the second derivative of -w**7/168 + 7*w**6/60 - 3*w**5/4 + 25*w**4/24 + 125*w**3/24 - 886*w. Factor b(z).
-z*(z - 5)**3*(z + 1)/4
Suppose 13*b - 53 + 14 = 0. Suppose -2*a**3 - 18*a**3 - 10*a**2 + 11*a**3 + 11*a**b + 12*a = 0. Calculate a.
0, 2, 3
Solve -453/2*f + 2*f**5 - 51/2*f**3 + 254*f**2 - 18*f**4 + 54 = 0.
-4, 1/2, 3, 9
Let z(n) = -3*n + 12. Let c(o) = 4*o**2 + 1934*o - 1920. Let q(w) = -c(w) + 2*z(w). Solve q(r) = 0 for r.
-486, 1
Let i(p) be the first derivative of 26*p**3/3 - 174*p**2 - 374*p + 7183. Solve i(s) = 0 for s.
-1, 187/13
Factor 200 - 1/4*n**2 + 199/2*n.
-(n - 400)*(n + 2)/4
Let w(m) be the first derivative of 23 - 3/2*m - 8*m**3 + 51/4*m**2. Factor w(z).
-3*(z - 1)*(16*z - 1)/2
Let y(h) = 7*h**2 + 3334*h + 3319. Let k(j) = 6*j**2 + 3336*j + 3324. Let s(d) = -4*k(d) + 3*y(d). Let s(w) = 0. What is w?
-1113, -1
Let l(s) = s**3 - 12*s**2 - 12*s + 17. Let j be l(15). Solve 2*c**3 + 5*c**2 - 2*c**2 + 64*c - j + 384*c + 59*c**2 = 0 for c.
-16, 1
Let q be ((-480)/(-672))/(0 - 3/(-21)). Let k(l) be the first derivative of q*l**3 + 12*l + 8 - 12*l**2 - 3/4*l**4. Factor k(i).
-3*(i - 2)**2*(i - 1)
Suppose 0 = 8*c - 2*c + 36. Let k(y) = y**2 + 3*y - 18. Let z be k(c). Factor 4/3*v**3 + 14/3*v**4 + 0 + z*v**2 + 0*v + 10/3*v**5.
2*v**3*(v + 1)*(5*v + 2)/3
Let b(s) be the third derivative of s**2 - 1/30*s**5 - 4*s**3 + 39*s + 0 + 2/3*s**4. Solve b(j) = 0 for j.
2, 6
Let 5*h**2 + 235*h - 48*h + 225 - 97*h = 0. What is h?
-15, -3
Let y(u) be the third derivative of u**5/20 - 59*u**4/4 - 119*u**3/2 + 1772*u**2. Factor y(l).
3*(l - 119)*(l + 1)
Let m be 11 + ((-6)/(-2)*((-24850)/(-189))/(-25) - -5). What is c in m + 0*c - 2/9*c**2 = 0?
-1, 1
Let h(d) = 50*d - 646. Let v be h(13). Let u(j) be the second derivative of -1/10*j**5 - 24*j + 5/6*j**4 - 8/3*j**3 + v*j**2 + 0. Find i such that u(i) = 0.
1, 2
Let o(r) = -8*r**4 + 6*r**3 + 74*r**2 - 18*r + 18. Let f(u) = -7*u**4 + 4*u**3 + 73*u**2 - 17*u + 21. Let k(i) = -6*f(i) + 7*o(i). Factor k(a).
-2*a*(a - 3)*(a + 2)*(7*a - 2)
Suppose -2*k + 4*p = 30 - 20, 7*p - 34 = -2*k. Let x be (-66)/(-28) - (45/10)/k. Factor 10/7*f + 0 + x*f**2.
2*f*(3*f + 5)/7
Let v be ((-68)/(-2))/(22 - -2). Let s = v + -3/4. Factor 0*y**2 - s*y**4 - 4/3*y + 4/3*y**3 + 2/3.
-2*(y - 1)**3*(y + 1)/3
Let d(c) be the third derivative of -c**7/1050 + 37*c**6/300 + 38*c**5/75 + 3*c**2 - 1033*c. Factor d(y).
-y**2*(y - 76)*(y + 2)/5
Let y be (-32)/((-2)/(-4)*(-20)/30). Factor 80 + 84*i + 39*i**2 + i**2 + y*i - 5*i**3 - 280*i.
-5*(i - 4)*(i - 2)**2
Let w(o) be the first derivative of