et j(l) be the third derivative of c(l). Solve j(y) = 0.
-7, 0
Let v = 316961/713142 - 1/79238. Let l(j) be the first derivative of 14*j**4 - 16 + 8/9*j**3 - 17/9*j**2 - v*j. Factor l(g).
2*(6*g + 1)**2*(7*g - 2)/9
Let w(p) = p**3 - 19*p**2 + 19*p - 15. Let a be 308/350*20 + 4/10. Let r be w(a). Factor -10/17*f + 2/17*f**r + 2/17*f**2 + 6/17.
2*(f - 1)**2*(f + 3)/17
Let x(i) be the first derivative of -i**7/2730 + i**6/468 - i**5/195 + i**4/156 + 17*i**3 + i - 224. Let j(r) be the third derivative of x(r). Factor j(f).
-2*(f - 1)**2*(2*f - 1)/13
Suppose -2*s + 4*q - 4 = 6*q, 5*q + 19 = 4*s. Let c be (-3 - -6)/s - -1. Suppose 24*v - 6 - 22*v**2 + 2*v**3 - 2*v**5 - 1 + 2*v**4 + 4*v**c - 1 = 0. What is v?
-2, 1, 2
Let t = -90519 + 271565/3. Factor -t - 4/3*s**3 + 25/3*s + 29/3*s**2.
-(s - 8)*(s + 1)*(4*s - 1)/3
Let b(s) be the second derivative of s**7/189 - s**6/45 - 11*s**5/45 - 19*s**4/27 - s**3 - 7*s**2/9 - 1618*s. Solve b(r) = 0 for r.
-1, 7
Factor -26*p + 1/4*p**3 - 27 - 23/4*p**2.
(p - 27)*(p + 2)**2/4
Let i(u) = -4 + 10*u**2 - 8 + u**3 + 2 - 20*u + 5*u. Let j be i(-10). Find y, given that j*y**2 + 3*y - 2*y - y**3 - 140*y**2 = 0.
-1, 0, 1
Suppose u - 485 = -482. What is y in -21*y**5 + 119*y**3 + 16 + 28*y**2 - 8*y**5 - 88*y + 19*y**4 + 37*y**4 - 69*y**5 + 167*y**u = 0?
-1, 2/7, 2
Let u(l) be the third derivative of l**6/120 + l**5/6 + 17*l**4/24 + 4*l**3/3 + 1130*l**2 + 2*l. Solve u(r) = 0.
-8, -1
Suppose -f + r + 4 = 0, 5*f - 7 = 4*f - 2*r. Suppose -f*d + 9*d - 20 = 0. Find j such that j**4 + 0*j**4 - 6*j**4 + d*j**2 = 0.
-1, 0, 1
Let j be ((-2)/(-5) + (-369)/(-90))*(-28 + (-6026)/(-207)). Let u(y) = -93*y + 3. Let x be u(-4). Factor 0 + 2*k - 25*k**3 + x*k**4 - 20*k**2 + 5625/8*k**j.
k*(5*k + 2)**2*(15*k - 2)**2/8
Let n = -10 + 13. Factor -22 - 6*h**2 + 7*h**3 - h**4 - 3*h**n + 3*h**3 + 26 - 32*h + 28.
-(h - 4)**2*(h - 1)*(h + 2)
Suppose -2058*v = 700*v - 9575776. Find g such that -5/2*g**5 - v*g + 134*g**4 - 784 - 4453*g**2 - 3257/2*g**3 = 0.
-1, -2/5, 28
Let z be 2465/5950 + 12/(-30). Let d(j) be the third derivative of 0*j - 3/20*j**5 - 4*j**2 + 0 - 3/40*j**6 - 1/8*j**4 + 0*j**3 - z*j**7. Factor d(r).
-3*r*(r + 1)**3
Let b(s) be the second derivative of -57121*s**5/90 - 171841*s**4/54 - 1435*s**3/27 - s**2/3 + 1169*s - 2. Find c such that b(c) = 0.
-3, -1/239
Let t be (-4)/54 + 1160/1566. Let f(w) be the second derivative of 4/15*w**6 + t*w**3 + 0*w**5 + 0 + 0*w**2 - 2/21*w**7 - 15*w - 2/3*w**4. Factor f(h).
-4*h*(h - 1)**3*(h + 1)
Let z(a) = -a**2 + 15*a - 33. Let w = 106 + -94. Let j be z(w). Factor 6*v**4 - 5*v + 14*v - 9*v**4 + 15*v**2 + 12*v**j - 9*v**3.
-3*v*(v - 3)*(v + 1)**2
Let u(y) = y**2 + 6*y - 21. Let p be u(6). Solve -73*w**4 + 4*w**3 + 6*w**5 + p*w**4 + 6*w**2 + 6*w**3 = 0.
-1/3, 0, 1, 3
Suppose -21*f = -23*f + 32. Let k be ((-2)/14)/(f/(-56)). Solve 0*g**2 - 3/4*g + k + 1/4*g**3 = 0.
-2, 1
Suppose f - 2*y - 3 = 0, 5*y - 2 + 8 = 2*f. Let i = -972 - -974. Factor -f - 12/5*b + 3/5*b**i.
3*(b - 5)*(b + 1)/5
Let n(i) be the second derivative of -35/24*i**4 + 1/24*i**5 - i - 35 - 1715/12*i**2 + 245/12*i**3. Suppose n(g) = 0. What is g?
7
Suppose 9*t + 1504 = -269. Let i be 10/(t - 3)*56/(-2). Factor 0 - i*a**2 + 4/5*a.
-a*(7*a - 4)/5
Let x be (17/(-2))/(46/(-92)). Let g(v) be the first derivative of 0*v - x + 1/12*v**4 + 1/3*v**2 + 1/3*v**3. Factor g(s).
s*(s + 1)*(s + 2)/3
Let x(q) be the second derivative of 4/3*q**4 - 63*q + 0 - 3/20*q**5 + 7/9*q**2 - 29/18*q**3. Factor x(g).
-(3*g - 14)*(3*g - 1)**2/9
Let w(o) = 2*o**3 - 11*o**2 - 6*o + 38. Let j be w(8). Let u be ((-15)/(-12))/(j/496). Determine b so that 245*b - 35*b**u - 1715/3 + 5/3*b**3 = 0.
7
Let w = -350994 - -350996. Determine d, given that 44/3*d - 2/3*d**w - 80/3 = 0.
2, 20
Suppose -4*y - 2*q + 18 = 0, -3*y = y - 4*q + 36. Suppose 0 - 2/15*f**5 + y*f + 2/5*f**3 - 4/15*f**2 + 0*f**4 = 0. Calculate f.
-2, 0, 1
Let d(b) = b**3 - 5*b**2 + 20. Let i be d(3). Determine t, given that -8*t - 7*t - 13*t**2 - 26*t**i + 3*t = 0.
-4/13, 0
Let i(u) be the first derivative of u**5/80 - u**4/12 + u**3/6 + 11*u - 75. Let m(q) be the first derivative of i(q). Suppose m(g) = 0. What is g?
0, 2
Let a(j) be the second derivative of j**7/84 - j**6/60 - 63*j**5/20 - 181*j**4/12 - 355*j**3/12 - 117*j**2/4 + 1003*j. Factor a(c).
(c - 13)*(c + 1)**3*(c + 9)/2
Let h(g) be the third derivative of g**6/30 - 11*g**5/5 + 9*g**4 + 496*g**3/3 - 4*g**2 - 2*g - 4. Let h(k) = 0. What is k?
-2, 4, 31
Let f(o) = -7*o**4 + 22*o**3 + 157*o**2 - 180*o. Let t(r) = 36*r**4 - 106*r**3 - 786*r**2 + 900*r. Let k(w) = -11*f(w) - 2*t(w). Factor k(u).
5*u*(u - 9)*(u - 1)*(u + 4)
Let j(w) = 2*w + 2. Let p be j(0). Let r = 503619/7 - 71941. Determine q so that -8*q**3 + r + 8*q - 12/7*q**4 - 20/7*q**p = 0.
-4, -1, -2/3, 1
Solve -78/5*j + 2/5*j**2 + 0 = 0.
0, 39
Let q(l) be the first derivative of 31 + 1/6*l**4 + 7/15*l**3 + 4*l + 1/50*l**5 + 3/5*l**2. Let x(r) be the first derivative of q(r). What is j in x(j) = 0?
-3, -1
Let p(f) be the third derivative of -f**6/420 + 17*f**5/30 + 121*f**4/42 + 3*f**2 + 311. Suppose p(t) = 0. Calculate t.
-2, 0, 121
Suppose -11 = -2*q - 7. Suppose 2*u - 1 = 3*f + 11, u - 2*f - 6 = 0. Factor 6*k**q - u - 3*k**3 - 21*k - 11*k + 35*k.
-3*(k - 2)*(k - 1)*(k + 1)
Find m, given that 88/9*m**2 - 14/9*m**4 - 10/9*m**3 - 8/3*m + 0 = 0.
-3, 0, 2/7, 2
Let h(o) = -3*o - 112. Let u be h(-36). Let i be 6 + -6 + 6 + 23/u. Factor -3/4 + i*v**2 - 1/2*v.
(v - 3)*(v + 1)/4
Determine u so that -653*u + 860*u - 80*u**3 - 96*u**4 - 543*u + 16*u**2 + 4*u**5 + 332*u**3 = 0.
-1, 0, 2, 21
Let g(i) be the first derivative of -i**5/10 - i**4/2 + 2*i**3 + 8*i**2 - 32*i + 2099. Factor g(w).
-(w - 2)**2*(w + 4)**2/2
Let k(v) = -59*v + 0 - v**2 + 0 + 58*v. Let o be (-1 + 0)/(6 - 5). Let m(x) = -3*x**3 + 19*x**2 - 35*x + 24. Let h(r) = o*m(r) - k(r). Solve h(n) = 0.
2
Let o(n) = n**4 - 3*n**3 - n - 3. Let u(s) = 18*s**4 + 69*s**3 - 9*s**2 - 363*s - 273. Let y(k) = 15*o(k) - u(k). Factor y(j).
-3*(j - 2)*(j + 1)**2*(j + 38)
Suppose 4 = -2*j + 20. Let l(f) = -5*f + 57. Let d be l(11). Factor 30*z - 2*z**2 - z**2 + j*z**d + 45 - 5.
5*(z + 2)*(z + 4)
Let o(z) = -13*z - 8. Let d be o(-2). Suppose 2 - 101*s**2 + 3*s**3 + 109*s**2 - 4*s - d = 0. Calculate s.
-2, 4/3
Let w be (-54)/(-4)*(-14)/(-21). Suppose -n = 3*y - w, -2*n + 1 = -2*y - 1. Factor 5*p**2 - 20*p**5 - 25*p**4 - 8*p**3 - y*p**3 - 10*p**4.
-5*p**2*(p + 1)**2*(4*p - 1)
Factor 2 + 67/5*y + 13/5*y**2.
(y + 5)*(13*y + 2)/5
Let m be (-27)/5*2860/(-33). Suppose 473 = p + m. Suppose -z**2 + 1/3*z**p + 1/3*z**3 + z**4 - 2/3*z + 0 = 0. Calculate z.
-2, -1, 0, 1
Find q, given that -1576*q**3 - 10323*q**2 + 14058*q - 2328*q**3 - 2018*q + 1166*q**3 - 4033*q**2 - 2352 = 0.
-6, 14/37
Suppose z + 2*k = -4, 8 = -3*k - 1. Suppose 7484 + 7365 + 6586 = 169*b + 20590. Determine v so that 75/2*v + 69*v**3 + 0 + 3/2*v**b + 18*v**4 + 90*v**z = 0.
-5, -1, 0
Let p be -11 - 322/((-437)/19). Solve -76/9*f**2 + 34/9*f - 2/9*f**p + 80/9*f**4 - 32/9*f**5 - 4/9 = 0 for f.
-1, 1/4, 1, 2
Let q be (-504 + 502)/(58/(-24) + 2/(-8)). Let v(b) be the first derivative of q*b**4 + 0*b + 1/3*b**3 - 14 - 3/2*b**2 - 1/5*b**5. Factor v(i).
-i*(i - 3)*(i - 1)*(i + 1)
Let r(j) be the second derivative of -2 - 5/42*j**7 + 5/6*j**6 + 7*j + 0*j**2 - j**5 + 0*j**4 + 0*j**3. Factor r(i).
-5*i**3*(i - 4)*(i - 1)
Let j(h) be the second derivative of -3*h**6/40 + 11*h**5/10 - 33*h**4/8 - 5*h**3 + 175*h**2/8 + 1067*h + 2. What is l in j(l) = 0?
-1, 7/9, 5
Let z(k) be the first derivative of 4*k**5/45 + 10*k**4/3 - 92*k**3/3 + 640*k**2/9 - 64*k - 3181. Find v, given that z(v) = 0.
-36, 1, 4
Let y(u) = 11*u**2 + 1386*u - 6. Let t(w) = 58*w**2 + 6930*w - 32. Let o(f) = 3*t(f) - 16*y(f). Factor o(c).
-2*c*(c + 693)
Let l = 1328 + -3979/3. Let g(t) be the first derivative of l*t**2 - 9 + 4*t + 2/9*t**3. Find f, given that g(f) = 0.
-3, -2
Let s be 1*(-232273826)/(-70476) + 124/(-434). Let o = s - 8/17619. Determine m, given that -3042*m**2 - o*m**3 - 936*m - 96 = 0.
-4/13
Factor 4808/5*z**2 - 2/5*z**3 + 0 + 0*z.
-2*z**2*(z - 2404)/5
Let m(x) be the first derivative of 3*x**5/5 - 453*x**4/4 + 5920*x**3 - 24642*x**2 - 3435. Factor m(k).
3*k*(k - 74)**2*(k - 3)
Let i = 171 - 144. Solve -23*y + 5*y + 5*y**3 