e the first derivative of -c**3/6 - 18*c**2 + 74*c - 524. Factor s(r).
-(r - 2)*(r + 74)/2
Let h(v) be the second derivative of v**4/9 - 128*v**3/9 - 994*v**2/3 - 5*v + 554. Factor h(b).
4*(b - 71)*(b + 7)/3
Let n(l) = 3*l**3 - l - 1. Let m(h) = -12*h**3 - 66*h**2 + 89*h + 3533. Let a(u) = -m(u) - 5*n(u). What is s in a(s) = 0?
-6, 14
Suppose 0 = 18*w + 61*w + 29 - 78 - 109. What is k in -116/7*k**w - 32/7*k**3 + 0 - 1/7*k**4 - 16*k = 0?
-28, -2, 0
Let z be (2/(32/12))/((-1)/(-4)). Let c = -17 - -19. Solve 32*m - 46 + 3*m**c - 160*m**z + 100*m**4 + 21*m**2 + 50 = 0.
-1/5, 1
Suppose 30660 + 1042 + 10298 = 28*h. Find c, given that -h - 195*c**2 + 950*c + 33/2*c**3 - 1/2*c**4 = 0.
3, 10
Let c(p) = -p**3 + 48*p**2 + 39*p + 81. Let k(a) = 13*a**2 - a - 1. Let w(y) = 5*c(y) - 35*k(y). Let w(v) = 0. Calculate v.
-44, -1, 2
Suppose -3*b + 8 = -8*c + 6*c, 4*c + 2 = -b. Let y(o) be the third derivative of 0*o + 0*o**3 - 10*o**b + 1/160*o**5 + 0 + 1/32*o**4. Factor y(v).
3*v*(v + 2)/8
Suppose -77*w - 96 = -74*w. Let n be (-12)/51*1*16/w. Solve n*v**2 + 0 - 4/17*v = 0.
0, 2
Suppose 0 = 3*j + 3*d + 78, -7*d = -10*d - 6. Let g be -5 + (-8)/(-6)*(-162)/j. What is i in 288/5*i**2 + 48/5*i**3 + 3/5*i**g + 768/5*i + 768/5 = 0?
-4
Suppose -p + 38 = -172*a + 177*a, 0 = 3*p + 5*a - 44. Let h(n) be the first derivative of 0*n + 0*n**p - 22 + 5/2*n**2 - 5/4*n**4. What is r in h(r) = 0?
-1, 0, 1
Let k(r) be the first derivative of -r**4/20 + 3*r**3/10 - 3*r**2/5 - 4*r + 90. Let a(y) be the first derivative of k(y). Factor a(u).
-3*(u - 2)*(u - 1)/5
Let m = 591 + -2243/4. Determine i so that m - 11/2*i + 1/4*i**2 = 0.
11
Let v(w) be the first derivative of -72 + 9/2*w**2 + 3/16*w**4 + 3/2*w**3 + 6*w. Factor v(b).
3*(b + 2)**3/4
Let r(s) be the second derivative of s**6/30 + 23*s**5/120 + 31*s**4/96 + s**3/4 - 31*s**2 + 3*s - 2. Let l(i) be the first derivative of r(i). Factor l(m).
(m + 2)*(2*m + 1)*(8*m + 3)/4
Let j(v) be the third derivative of v**7/490 - 57*v**6/140 + 3133*v**5/140 + 1653*v**4/14 + 1682*v**3/7 - v**2 - v - 106. Determine c, given that j(c) = 0.
-1, 58
Let s(t) be the first derivative of -2*t**3/15 - 123*t**2/5 - 952*t/5 + 5922. Find n such that s(n) = 0.
-119, -4
Let v(u) be the first derivative of 19*u**6/8 + 71*u**5/5 + 83*u**4/8 - 24*u**3 - 223*u**2/8 + u + 2361. Let v(y) = 0. Calculate y.
-4, -1, 1/57, 1
Factor 11/2*v**3 + 0*v + 0*v**2 - 1/4*v**4 + 0.
-v**3*(v - 22)/4
Let r be (-2)/(-7) + 442/119. Suppose 0 = 3*c - 2*h, 5*c - 7*h = -5*h + r. Factor -3*u**2 - 3*u**4 - 2*u**c + 0*u**4 - 2*u**4 + 10*u**3.
-5*u**2*(u - 1)**2
Suppose 280/3 - 5/3*k**2 - 5/3*k = 0. Calculate k.
-8, 7
Let n(j) be the first derivative of 75*j**4/4 - 85*j**3 - 10947*j**2/2 + 65559*j - 575. Factor n(x).
3*(x + 13)*(5*x - 41)**2
Let w = 43 - 39. Let g(t) = t**2 - 3*t - 1. Let o be g(w). Factor -r - 4*r**o - 4*r**3 + 5*r + 4*r**5.
4*r*(r - 1)**2*(r + 1)**2
Let t(g) = 48*g**2 - 18*g + 30. Let k be t(7). Let c = -2253 + k. Let 0*a + 2/3*a**2 + 2/9*a**c + 0 = 0. Calculate a.
-3, 0
Let f(r) be the first derivative of -2/45*r**5 + 0*r**2 - 56 + 0*r + 2/9*r**4 - 8/27*r**3. Find p, given that f(p) = 0.
0, 2
Let l(h) = h**2 + 9*h - 5. Let z be l(-12). Let a = 37 - z. Determine o, given that -3*o**3 + 0*o**2 + 0*o**2 + 10*o**5 + a*o**4 - 13*o**5 = 0.
0, 1
Let i(q) = -q**3 + 12*q**2 - 10*q - 9. Let n be i(11). Suppose -52 = -2*b - n*b. Suppose -8 + b - 48*t + 20*t**2 + 11 = 0. Calculate t.
2/5, 2
Let o be (1/70)/((-154)/(-539)). Let c(x) be the third derivative of 2*x**3 + 5/8*x**4 + 0 + o*x**5 - 28*x**2 + 0*x. Suppose c(a) = 0. What is a?
-4, -1
Let c(s) = -s**2 - 189*s - 1270. Let h be c(-7). Determine x so that -h - 2*x**3 + 46/3*x - 28/3*x**2 = 0.
-6, 1/3, 1
Let z(t) = 2*t**2 - 8678*t - 946136. Let n(f) = 1736*f + 189227. Let h(r) = 44*n(r) + 8*z(r). Factor h(m).
4*(2*m + 435)**2
Let w = -9639 - -9639. Let k(i) be the third derivative of -1/5*i**3 - 1/100*i**5 + 0 + w*i + 17*i**2 + 3/40*i**4. Factor k(p).
-3*(p - 2)*(p - 1)/5
Let j(t) be the first derivative of -t**5/120 - 5*t**4/4 - 75*t**3 - 61*t**2 + 71. Let c(b) be the second derivative of j(b). Find s, given that c(s) = 0.
-30
Let -4992*x + 13156*x**2 - 616*x**4 + 8680*x**2 + 11638*x**3 - 975*x**3 + 4727*x**3 + 6*x**5 - 10816 = 0. Calculate x.
-1, 2/3, 52
Let u(n) = -2*n**3 - 1378*n**2 - 317400*n - 24334072. Let t(k) = -6*k**3 - 4133*k**2 - 952200*k - 73002252. Let b(q) = -4*t(q) + 14*u(q). Factor b(c).
-4*(c + 230)**3
Let f(z) be the second derivative of 2*z**6/21 - 101*z**5/140 + 37*z**4/21 - 79*z**3/42 + 6*z**2/7 + 3*z - 3585. Determine n, given that f(n) = 0.
1/4, 4/5, 1, 3
Let k(u) be the second derivative of u**6/6 + 25*u**5/2 + 1165*u**4/12 + 910*u**3/3 + 450*u**2 - 2*u - 673. Determine j so that k(j) = 0.
-45, -2, -1
Suppose -z + 4*k - 32 = 0, -k = 5*z - 1204 + 1196. Let 8/5*q + z - 26/5*q**2 - 7/5*q**3 = 0. Calculate q.
-4, 0, 2/7
Let w(g) = -4*g**2 - 1435*g. Let i(o) = o**2 + 480*o. Let f(u) = 11*i(u) + 4*w(u). Factor f(h).
-5*h*(h + 92)
Let k be (3 + 309)*(-418)/(-2717). Factor k*s + 352*s**2 + 18/11.
2*(44*s + 3)**2/11
Let q(i) be the second derivative of i**4/6 - 5*i**3/3 + 4*i**2 - 1927*i. Factor q(d).
2*(d - 4)*(d - 1)
Let s(l) be the third derivative of -11*l**6/96 + 97*l**5/240 - 5*l**4/16 - 710*l**2. Factor s(y).
-y*(5*y - 2)*(11*y - 15)/4
Find l, given that -2/3*l**3 - 30 - 26*l - 22/3*l**2 = 0.
-5, -3
Let o(k) be the first derivative of 4*k**3/3 + 532*k**2 + 70756*k + 102. Factor o(w).
4*(w + 133)**2
Let p = 44 + -62. Let s = p + 18. Factor 2*v**3 - v**2 + 9*v**5 - 8*v**5 + v**4 + 2*v - 5*v**3 + s*v**3.
v*(v - 1)**2*(v + 1)*(v + 2)
Suppose 0 = -s + z + 8 - 0, -4*s + 2*z = -38. Suppose 5 + s = 2*j. Factor 4*g**2 + 5 - 6*g + 12*g + 23*g - j*g.
(g + 5)*(4*g + 1)
Let j = -50 - -51. Let v(p) be the first derivative of -8 + j + 25 + 4*p**3 - 16*p + p**4. Factor v(m).
4*(m - 1)*(m + 2)**2
Let b = 821 + -816. Let a be 11/(110/4)*b. Factor 34/9*z - 28/9*z**a + 4/3.
-2*(2*z - 3)*(7*z + 2)/9
Let v(x) be the third derivative of x**6/80 + x**5/20 - 29*x**4/16 - 15*x**3/2 + 11*x**2 - 1. Factor v(f).
3*(f - 5)*(f + 1)*(f + 6)/2
Let q(g) = g**2 - 9*g - 27. Let v be q(12). Suppose 6*j = v*j - 24. Factor 13*b - j + 0*b - 2*b - 5*b + 2*b**2.
2*(b - 1)*(b + 4)
Suppose 2 + 13 = 5*p. Suppose -5*h + p*h = -5*g + 36, 0 = -2*g - 4*h. Factor -3*i**2 + 31*i + g + 0*i**2 - 28*i.
-3*(i - 2)*(i + 1)
Let z(m) = 13*m**2 + 28*m + 73. Let h be z(-3). Find a, given that a**4 + 8*a + a**4 + 84*a**2 + 38 + 192*a - 4*a**4 + h + 6*a**3 = 0.
-2, 9
Suppose 53 = -26*r + 131. Factor 2/5*v**r - 14/5*v - 4/5*v**2 - 8/5.
2*(v - 4)*(v + 1)**2/5
Let d = -295950 + 2367619/8. What is a in 0 - 1/4*a - 45/8*a**3 + 41/8*a**4 + d*a**2 - 13/8*a**5 = 0?
0, 2/13, 1
Factor -11601*y**4 - 3*y**2 + 4*y - 2*y**3 + 4 + 5800*y**4 + 5802*y**4.
(y - 2)**2*(y + 1)**2
Let c be (2/(-2))/(3619/(-49867)). Let r = c - 92/7. What is y in -3/11*y**4 - 2/11*y**2 + 0 + 0*y - r*y**3 = 0?
-2, -1/3, 0
Let p be 3192/(-96)*2*(-16)/140. Let p*x - 8/5*x**2 - 2/5*x**3 - 28/5 = 0. What is x?
-7, 1, 2
Let h be (4/(-18) + 46/(-36))/((-20)/40). Suppose 3/5*t**h - 3/5*t + 18/5 - 18/5*t**2 = 0. What is t?
-1, 1, 6
Let h(n) be the third derivative of 0 + 38*n**2 + 1/5*n**5 + 17/6*n**4 + 0*n + 20/3*n**3. Factor h(k).
4*(k + 5)*(3*k + 2)
Let l(c) be the first derivative of -1/25*c**5 - 1936/5*c + 176*c**2 - 104/5*c**3 + 62 - 2*c**4. Factor l(p).
-(p - 2)**2*(p + 22)**2/5
Suppose w = -5*f - 41, -f + 5*w = w + 25. Let x = f - -14. Factor -24*g**4 + 40*g**4 - 2*g**3 - 24*g**4 - 8*g**x.
-2*g**3*(2*g + 1)**2
Let h(f) be the second derivative of f**4/66 - 47*f**3/33 + 540*f**2/11 - 29*f + 9. Let h(p) = 0. Calculate p.
20, 27
Let n = 10/863 + 3825/42287. Let g(q) be the third derivative of n*q**7 + 0*q + 7*q**2 + 0 + 0*q**3 + 26/105*q**5 + 2/21*q**4 + 11/42*q**6. Solve g(a) = 0.
-2/3, -2/5, 0
Factor -3/2*p**2 + 843/2 - 420*p.
-3*(p - 1)*(p + 281)/2
Let j(b) be the third derivative of -5*b**8/336 - 2*b**7/21 - b**6/6 + b**5/6 + 25*b**4/24 + 5*b**3/3 + 598*b**2. Determine s, given that j(s) = 0.
-2, -1, 1
Let i(q) be the third derivative of -q**5/15 - 7*q**4/3 - 32*q**3 + 128*q**2. Factor i(h).
-4*(h + 6)*(h + 8)
Let y = 488/35 + -92/7. Let t(b) be the first derivative of 0*b**2 + 9/10*b**4 + 29 + 0*