89*a**3/3 - 15842*a**2 - 245*a + 3. Factor n(c).
-(c - 356)**2/4
Let a(b) be the third derivative of -b**6/480 + 67*b**5/30 - 5663*b**2. Factor a(j).
-j**2*(j - 536)/4
Let z be 6438/(-36) + 8 + -8. Let w = 179 + z. Factor 0 + 0*v**2 - 1/6*v**5 - w*v + 0*v**4 + 1/3*v**3.
-v*(v - 1)**2*(v + 1)**2/6
Let j(d) be the second derivative of -3*d - 35/22*d**5 + 7 - 5/33*d**7 + 62/55*d**6 + 0*d**2 - 12/11*d**3 - 32/11*d**4. Solve j(g) = 0 for g.
-2/5, -2/7, 0, 3
Let p(t) be the first derivative of -t**3/15 - 39*t**2/10 + 322*t/5 + 2168. What is z in p(z) = 0?
-46, 7
Let h be (-123)/(-126) - 3/(-2) - (-1685)/(-11795). Solve 0 + 17*v**2 + h*v**4 - 40/3*v**3 + 6*v = 0 for v.
-2/7, 0, 3
Let l(y) be the first derivative of -17*y**6/6 - 10*y**5/3 + y**4/12 + 681. Suppose l(b) = 0. What is b?
-1, 0, 1/51
Let q(d) be the third derivative of d**5/600 - 77*d**4/24 + 29645*d**3/12 + 145*d**2. Factor q(o).
(o - 385)**2/10
Let r be 859812/(-4896) - 1/(-8). Let c = 530/3 + r. Determine o, given that 0 + 0*o + c*o**4 + 0*o**2 + 2/17*o**5 + 50/17*o**3 = 0.
-5, 0
Let m(d) be the second derivative of -3*d**5/40 - 21*d**4/4 + 87*d**3/4 - 33*d**2 - 1381*d. Let m(b) = 0. What is b?
-44, 1
Let q = 3874580/3 + -1291514. Let -34/3*l**3 + 8/3 + 2*l**4 - q*l**2 + 0*l + 10/3*l**5 = 0. Calculate l.
-1, 2/5, 2
Let u(d) = 61*d**3 + 43*d**2 - 392*d + 1071. Let h(p) = 35*p**3 + 21*p**2 - 195*p + 535. Let z(s) = -7*h(s) + 4*u(s). Factor z(q).
-(q - 11)*(q - 7)**2
Let g(o) be the third derivative of o**5/270 + o**4/2 + 65*o**3/3 + 1865*o**2. Let g(s) = 0. What is s?
-39, -15
Let a be 5 + 127/(-33) - (36/(-198) + 0). Let 1/3*s**2 + a*s + 4/3 = 0. Calculate s.
-2
Suppose 13*x - 82 = -175*x + 91 + 203. Factor -2/3*p**5 + 2/3*p**3 + 2/3*p**4 + 0 - 2/3*p**x + 0*p.
-2*p**2*(p - 1)**2*(p + 1)/3
Let p(y) be the first derivative of 3*y**6/16 + 19*y**5/40 - y**3 - 33*y**2/2 - 243. Let o(z) be the second derivative of p(z). Let o(v) = 0. Calculate v.
-1, -2/3, 2/5
Let q(j) be the first derivative of -9*j**5 - 510*j**4 - 6440*j**3/3 - 2960*j**2 - 1680*j - 3451. Find a, given that q(a) = 0.
-42, -2, -2/3
Let n = 1151 + -1119. Let o be 16/n*3/(24/140). Factor 5/2*w + o*w**2 + 0.
5*w*(7*w + 2)/4
Let q(h) be the second derivative of 289*h**4/12 - 1564*h**3 + 38088*h**2 + 5116*h - 1. Factor q(a).
(17*a - 276)**2
Solve 0*v + 19/3*v**4 + 17/3*v**2 + 1/3*v**5 + 0 + 35/3*v**3 = 0.
-17, -1, 0
Suppose 194*r - 3948 = 6*r. Let h(p) be the second derivative of -r*p + 0*p**2 + 2/15*p**3 - 1/6*p**4 + 0. Factor h(a).
-2*a*(5*a - 2)/5
Suppose 5*h + i = 14, 0*h - 3*h + 14 = -5*i. Let n(g) = g**3 - g**2 - 3*g - 7. Let r be n(h). Let 202*b**2 - 194*b**r + 3*b - 2*b**3 - 9*b = 0. What is b?
0, 1, 3
Let v(s) = 35*s + 522. Let c be v(-28). Let x = 460 + c. Factor 0 + 3/7*a + 0*a**x - 3/7*a**3.
-3*a*(a - 1)*(a + 1)/7
Let z be ((-3)/6)/((-73)/1898). Let s(i) be the first derivative of 4/3*i + 0*i**2 - 4/9*i**3 - z. Factor s(f).
-4*(f - 1)*(f + 1)/3
Let g(b) be the first derivative of 43*b**6/90 - b**5/15 + 2*b**3/3 + 123*b - 254. Let d(v) be the third derivative of g(v). Factor d(i).
4*i*(43*i - 2)
Factor 0 + 1/4*a + 1/4*a**5 - 1/2*a**3 + 0*a**2 + 0*a**4.
a*(a - 1)**2*(a + 1)**2/4
Let y(j) = -4*j - 5. Let i be y(-2). Find v, given that 0*v**2 + 34 - 24 + 5*v**i - 5*v - 10*v**2 = 0.
-1, 1, 2
Let i(d) be the third derivative of -d**6/30 + 74*d**5/15 - 145*d**4/6 + 48*d**3 + 3*d**2 + 98*d. Find s such that i(s) = 0.
1, 72
Let i(a) be the first derivative of a**4 - 40*a**3 + 600*a**2 - 4000*a + 674. What is u in i(u) = 0?
10
Let j(c) = -16*c - 1. Let u(f) = -5*f**2 - 4599*f + 1. Let v(h) = -j(h) - u(h). Factor v(n).
5*n*(n + 923)
Let s(g) be the third derivative of -g**4/24 - 5*g**3/3 - 5*g**2. Let o be s(-14). Solve -2*i**4 + 4*i + 4*i**4 + 4*i**2 - 4*i**3 - 6*i**o + 0*i**3 = 0 for i.
-1, 0, 1
Let l(w) be the first derivative of 13*w**5/10 - 111*w**4/2 + 913*w**3/6 - 273*w**2/2 + 32*w + 1499. Find y, given that l(y) = 0.
2/13, 1, 32
Solve 298/15*v - 236/15*v**2 + 26/15*v**4 + 2/15*v**5 + 4/3*v**3 - 22/3 = 0 for v.
-11, -5, 1
Suppose -25 = 109*w - 25. Let z(x) be the third derivative of 14*x**2 - 4/9*x**3 - 1/90*x**5 + 0 - 1/9*x**4 + w*x. Find k such that z(k) = 0.
-2
Let o(r) be the second derivative of -2 + 5/3*r**4 + 5*r**2 + 25/6*r**3 + 1/4*r**5 - r. Factor o(w).
5*(w + 1)**2*(w + 2)
Let t be 60/9*(-663)/(-3298). Let o = t + -2/291. Determine h, given that -h**3 + 1/3*h**4 + 0*h - o*h**2 + 0 = 0.
-1, 0, 4
Let d(p) be the third derivative of -p**7/210 - 25*p**6/6 - 3125*p**5/2 - 1953125*p**4/6 - 244140625*p**3/6 + 2571*p**2 + 2*p. Factor d(l).
-(l + 125)**4
Let v(s) be the third derivative of s**7/525 - s**6/60 - 11*s**5/150 + 11*s**4/20 - 6*s**3/5 + 1173*s**2. Factor v(u).
2*(u - 6)*(u - 1)**2*(u + 3)/5
Let d(v) = 4*v**2 - 2*v + 1. Let a(i) = -i**2 + i - 1. Let m(q) = 2*q + 22. Let p be m(-8). Let y(k) = p*a(k) + 2*d(k). Suppose y(t) = 0. What is t?
-2, 1
Let x(y) = 14*y**3 - 22*y**2 - 100*y + 20. Let t(l) = -l**3 - 3*l**2 - 2*l - 2. Let j(g) = -10*t(g) - x(g). Determine f so that j(f) = 0.
-2, 0, 15
Let d(l) be the third derivative of -l**7/2 + 55*l**6/12 - 8*l**5 - 105*l**4/4 - 45*l**3/2 - 1010*l**2. What is r in d(r) = 0?
-3/7, -1/3, 3
Suppose 34 - 35/2*n + 1/4*n**2 = 0. Calculate n.
2, 68
Let p(v) be the second derivative of -v**5/5 - 86*v**4/3 + 2*v**3/3 + 172*v**2 - 2*v + 33. What is r in p(r) = 0?
-86, -1, 1
Solve 1/2*g**3 + 4*g + 0 + 3*g**2 = 0.
-4, -2, 0
Let a be 32/24*63/(-203). Let l = 8/261 - a. Factor 0*z - l*z**5 - 16/9*z**2 + 0 + 4/3*z**4 + 0*z**3.
-4*z**2*(z - 2)**2*(z + 1)/9
Let g = -2/161733 + 970408/808665. Determine b, given that 6*b + g*b**3 + 27/5*b**2 + 9/5 = 0.
-3, -1, -1/2
Let n = -2639234/21 + 379511/3. Let h = 827 - n. Factor 12/7 - 8/7*c**3 + 4/7*c**4 - 16/7*c**2 + h*c.
4*(c - 3)*(c - 1)*(c + 1)**2/7
Let f(k) be the second derivative of 3*k**5/80 - 9*k**4/16 + 3*k**3/4 + 6*k**2 - 5*k. Factor f(d).
3*(d - 8)*(d - 2)*(d + 1)/4
Let o(z) be the third derivative of z**6/300 + 7*z**5/225 - 2*z**4/15 - 1664*z**2. Determine y, given that o(y) = 0.
-6, 0, 4/3
Let u(v) = 4*v**2 + 220*v - 656. Let p(m) = 2*m**2 + 146*m - 436. Let b(t) = 8*p(t) - 5*u(t). What is z in b(z) = 0?
4, 13
Suppose -388*z + 536 = -321*z. Let d(o) be the first derivative of -2/9*o**3 + z + 4/3*o - 1/3*o**2. Determine v so that d(v) = 0.
-2, 1
Let v(p) be the first derivative of p**5/5 - 17*p**4/4 - 224*p**3/3 + 1920*p**2 - 9672. What is c in v(c) = 0?
-15, 0, 16
Suppose -5*d = -15, 2062 - 28 = 3*y - 2*d. Let l be ((-1)/(-3))/(2/(-30)*-1). Find k, given that 2*k**4 + y*k**l + 2*k**3 - 679*k**5 + k**4 = 0.
-2, -1, 0
Let a = 511 + -3571/7. Suppose 0 = 8227*v - 8220*v. What is k in v + a*k**2 + 0*k - 3/7*k**3 = 0?
0, 2
Let u(y) be the first derivative of -3*y**5/25 - 3*y**4 - 147*y**3/5 - 708*y**2/5 - 336*y + 4224. Solve u(i) = 0 for i.
-7, -5, -4
Factor 0 + 9*u**2 - 3*u**2 - 16 + 16 - 8*u**3 + 2*u**4.
2*u**2*(u - 3)*(u - 1)
Let p(t) be the second derivative of -8*t**6/3 + 1342*t**5 + 13475*t**4/12 - 11765*t**3/6 + 840*t**2 + 136*t + 22. Let p(q) = 0. What is q?
-1, 1/4, 336
Let w(p) = p**2 - 4. Let b be w(-4). Let r be (-2)/b - 66/(-132). Factor 1 - 1/3*x - x**2 + r*x**3.
(x - 3)*(x - 1)*(x + 1)/3
Let r be -4 - 6/(-510)*338. Let n = 176/255 + r. Factor n + 10*a**2 - 14/3*a + 8/3*a**4 - 26/3*a**3.
2*(a - 1)**3*(4*a - 1)/3
Let z be 8294/416 - (-2)/32. Let h be (-6)/z*65/(-39). Factor -h*w**2 - 2*w - 2.
-(w + 2)**2/2
Let n(b) = 2*b**4 - b**3 + 2*b**2 - 2*b + 1. Let g(x) = -11*x**4 - 142*x**3 - 446*x**2 - 544*x - 133. Let y(p) = -g(p) + 2*n(p). Factor y(r).
5*(r + 3)**3*(3*r + 1)
Suppose 2*h = 2, 2*h - h - 49 = -3*s. Suppose 0 = 4*q + 3*z - 16, 5*q - s = q + 5*z. Suppose -4*g**3 + q*g**2 + 35*g**4 - 31*g**4 - 4*g**3 = 0. Calculate g.
0, 1
Let c(p) = 9*p - 11. Let i be c(-17). Let k = i - -166. Suppose 2*q + 4/3 + 2/3*q**k = 0. What is q?
-2, -1
Let n(y) be the third derivative of y**7/210 + y**6/120 - y**5/5 + y**4/6 + 8*y**3/3 - y**2 + 3284*y. Factor n(p).
(p - 2)**2*(p + 1)*(p + 4)
Let t(b) be the third derivative of -b**5/330 + 5*b**4/11 - 57*b**3/11 + 2932*b**2. Solve t(z) = 0 for z.
3, 57
Let g = 10130 - 30389/3. Let p(x) be the first derivative of g*x**3 + 20 - 1/2*x**2 + 0*x. Factor p(y).
y*(y - 1)
Suppose 5*y = y + 28. Let k(g)