uppose 22713 = 7044*x + 1581. Determine b so that -2/3*b**x + 968/9 - 2816/9*b - 262/9*b**2 = 0.
-22, 1/3
Let j(g) = -7*g**2 + 67*g + 118. Let f(k) = 16*k**2 - 133*k - 231. Let y(o) = -4*f(o) - 9*j(o). Factor y(p).
-(p + 2)*(p + 69)
Let s = 96728 - 96728. Factor -3/5*p**2 + 3/5 + s*p.
-3*(p - 1)*(p + 1)/5
Let h be (-2 - -1)/((5/5)/(-23)). Factor 24*z + z**2 + h*z**2 - 48 - 3*z**2 + 3*z**3.
3*(z - 1)*(z + 4)**2
Let h(x) be the first derivative of -2*x**3 - 3/4*x**4 + 36*x + 33/2*x**2 + 181. Suppose h(p) = 0. What is p?
-4, -1, 3
Let l be ((-201)/670)/((-18)/10). Let p(v) be the second derivative of v**3 + 2*v**2 + l*v**4 - 16*v + 0. Let p(w) = 0. Calculate w.
-2, -1
Let j(u) = 30*u**3 + 453*u**2 - 4170*u + 10050. Let d(r) = -13*r**3 - 227*r**2 + 2085*r - 5025. Let m(a) = -9*d(a) - 4*j(a). Let m(s) = 0. Calculate s.
5, 67
Let k(h) = -10*h**4 + h**3 - h**2 + h. Let v(u) = -15*u**4 + 2166*u**3 - 2161*u**2 + u. Let w(y) = -k(y) + v(y). Factor w(o).
-5*o**2*(o - 432)*(o - 1)
Let t(v) be the second derivative of v**7/168 - 11*v**6/120 + 5*v**5/16 + 35*v**4/48 - 53*v**3/12 + 7*v**2 - 5861*v. Solve t(g) = 0 for g.
-2, 1, 4, 7
Let c(m) be the second derivative of -2*m - 2 + 4/15*m**5 + 0*m**2 - 1/45*m**6 + 4/3*m**3 - 19/18*m**4. Suppose c(u) = 0. Calculate u.
0, 1, 3, 4
Let i be 2/(-5) - ((-2)/((-6)/(-3)) + 1287/4095). What is h in -24/7*h**2 + 24/7 - 2/7*h**3 + i*h = 0?
-12, -1, 1
Suppose 0 = -28*r + 49 - 21. Let h be r + -1 + 3/((-15)/(-4)). Factor 12/5 - h*t**2 - 8/5*t.
-4*(t - 1)*(t + 3)/5
Let w(a) = 27*a**3 + 32*a**2 - 5*a - 126. Let p(x) = 10*x**3 + 11*x**2 - 2*x - 42. Let s(j) = -24*p(j) + 9*w(j). What is b in s(b) = 0?
-7, -3, 2
Suppose -8 = -d - 2. Factor 0*y**2 - 4*y**2 + y**3 - d + 5*y - 9*y - 7*y.
(y - 6)*(y + 1)**2
Suppose 23 = 3*p - 2*p + 4*n, -5*n = -25. Suppose 4*a - 5 = 11. Factor 5*i**5 + 60*i**3 + 125*i**3 + 220*i**2 + 16*i - 35*i**p + 45*i**a + 104*i.
5*i*(i + 2)**3*(i + 3)
Let k(g) be the first derivative of 1/6*g**3 - 3*g - 5 - 5/4*g**2. What is z in k(z) = 0?
-1, 6
Let l = -67 - -75. Suppose -8*d - 15 = -31. Find j such that l - 7*j + 5*j**3 - 5*j**d - 10*j - 3*j + 12 = 0.
-2, 1, 2
Let s(y) be the first derivative of -y**6/150 + y**5/25 + y**4/30 - 2*y**3/5 - 31*y**2 - 27. Let f(p) be the second derivative of s(p). Factor f(m).
-4*(m - 3)*(m - 1)*(m + 1)/5
Let a(i) = i**2 + 9*i + 3. Let l be a(-2). Let g(w) = w**3 + 13*w**2 + 19*w - 29. Let d be g(l). Factor 2/3*v - 2/3 + 1/2*v**2 - 1/6*v**d - 1/3*v**3.
-(v - 1)**2*(v + 2)**2/6
What is o in -180*o**4 - 6845 + 7025*o**2 - 3050*o**3 + 6105/2*o - 5/2*o**5 = 0?
-37, -1, 1, 2
Let b be (-2)/(6 + (3 - (-418)/(-46))). Let s = 58 + -40. Factor -s*y**2 + 20 + b*y**2 - 25.
5*(y - 1)*(y + 1)
Let s(z) be the second derivative of z**4/138 - 706*z**3/69 + 124609*z**2/23 + 6*z - 113. Factor s(k).
2*(k - 353)**2/23
Let n(w) be the second derivative of 47*w**4/6 + 328*w**3/21 - w**2/7 + 1549*w. Factor n(r).
2*(r + 1)*(329*r - 1)/7
Let q = -34909/3 - -11649. Let f(g) be the second derivative of -7*g - q*g**3 + 4/5*g**5 + 16/3*g**4 + 10*g**2 + 0. Factor f(m).
4*(m + 5)*(2*m - 1)**2
Suppose -9*k + 10*k - 18 = -4*y, -4*k = 5*y - 28. Let h(n) be the first derivative of 23 + 1/2*n**3 - 9*n - 15/4*n**k. Determine i, given that h(i) = 0.
-1, 6
Let j(i) be the second derivative of -3*i**5/40 - i**4/8 + i**3/4 + 3*i**2/4 - 3120*i + 1. Suppose j(v) = 0. What is v?
-1, 1
Suppose -2*y + 14 = -8. Let 3*c**2 - 51*c - 6*c**2 - 10 + 13*c + y*c**2 = 0. Calculate c.
-1/4, 5
Let l(d) be the first derivative of -d**8/112 - d**7/14 - 7*d**6/40 - 3*d**5/20 + 77*d**2/2 - d - 66. Let n(g) be the second derivative of l(g). Factor n(s).
-3*s**2*(s + 1)**2*(s + 3)
Let k(g) be the first derivative of -1/120*g**5 + 0*g**2 - 1 - 9*g - 1/36*g**4 + 0*g**3. Let o(w) be the first derivative of k(w). Factor o(f).
-f**2*(f + 2)/6
Let d(g) be the first derivative of g**3/5 + 1026*g**2/5 + 350892*g/5 - 931. Factor d(h).
3*(h + 342)**2/5
Let u = -41 + 65. Let h = 26 - u. Find b, given that -5*b - 5*b**5 + b + 22*b**4 - b - h*b**4 - 30*b**3 + 20*b**2 = 0.
0, 1
Let v(s) = s**2 - 29*s - 30. Let y be v(30). Suppose y = -0*q + 3*q - 273. Factor -q*m**4 - 5*m**5 + 1 + 81*m**4 - 5*m**3 - 1.
-5*m**3*(m + 1)**2
Let d = -1820/31 + 12771/217. Let r(i) be the third derivative of 1/140*i**5 - 3/56*i**4 - 12*i**2 + 0*i + 0 + d*i**3. Factor r(s).
3*(s - 2)*(s - 1)/7
Let q = -70 - -62. Let w = q + 10. Determine u, given that -7720*u**3 + 9*u - 4 + 7723*u**3 + 4 + 12*u**w = 0.
-3, -1, 0
Determine h so that -573 + 728*h**2 - 112*h**3 + 162*h**3 + 61 + 265*h - 168*h**3 - 1545*h + 6*h**4 = 0.
-1/3, 4, 8
Let w(v) be the second derivative of -v**4/48 + 223*v**3/6 + 893*v**2/8 + 519*v. What is n in w(n) = 0?
-1, 893
Let u(r) be the third derivative of r**5/420 + 219*r**4/56 + 328*r**3/21 + 2965*r**2. What is a in u(a) = 0?
-656, -1
Suppose 3*g - 28 = -67, -3*p - 39 = 3*g. Let y be 1 + 1*2/(-6). Suppose 1/3*x**4 + p + x**3 + 0*x + y*x**2 = 0. Calculate x.
-2, -1, 0
Let k = -528117/7 - -75454. Let -k*r + 4/7*r**3 - 19/7*r**2 - 2 = 0. What is r?
-2, -1/4, 7
Suppose 0 = -3*d + 6*d - 5*n + 2, -d - 6 = -3*n. Factor g**2 + 4*g + 2*g - g - d*g - 6*g + 12.
(g - 4)*(g - 3)
Let k(a) = -11*a**4 + 24*a**3 + 263*a**2 + 428*a + 200. Let v(x) = 190*x**4 - 410*x**3 - 4475*x**2 - 7275*x - 3400. Let l(i) = 35*k(i) + 2*v(i). Factor l(z).
-5*(z - 10)*(z + 1)**2*(z + 4)
Suppose -z + 4*s + s = -29, -13 = -z + s. Suppose -z = -4*a + y, 3*a - y - 3 = a. Factor -9*o**3 + 26*o**a + 7*o**3 + 72*o + 50*o**2 + 3*o**4 + 27 + 16*o**2.
3*(o + 1)**2*(o + 3)**2
Factor 38*j + 0 + 169/3*j**2 + 18*j**3 - 1/3*j**4.
-j*(j - 57)*(j + 1)*(j + 2)/3
Let c(z) be the first derivative of 2*z**6/9 - 221*z**5/3 + 6371*z**4 - 2116*z**3 + 735. Factor c(r).
r**2*(r - 138)**2*(4*r - 1)/3
Suppose 11*p + 248 = -104. Let i be (1/12)/((-167)/p + -5). Factor 0 - i*z + 2/21*z**2.
2*z*(z - 4)/21
Let t(z) be the third derivative of -z**6/360 - 8*z**5/45 + 149*z**4/72 + 10*z**3 - 3851*z**2. Factor t(p).
-(p - 5)*(p + 1)*(p + 36)/3
Let g(b) be the third derivative of -b**6/60 + 98*b**5/15 - 7*b**2 - 3*b. Factor g(w).
-2*w**2*(w - 196)
Let w(q) be the second derivative of -3*q**5/110 - 157*q**4/22 - 6240*q**3/11 - 18252*q**2/11 - 2*q + 118. Factor w(f).
-6*(f + 1)*(f + 78)**2/11
Let l(y) be the second derivative of -y**4/3 + 54*y**3 + 332*y**2 - 969*y. Determine f so that l(f) = 0.
-2, 83
Let t be (-1208)/12198 + 44/418. Let h = t + 1583/3531. Let -2/11 - 1/11*g**2 + h*g - 2/11*g**3 = 0. Calculate g.
-2, 1/2, 1
Suppose 50 = -5*w + 415. Factor 0*g + 18*g - 69*g**2 + 145*g**2 - w*g**2 + 27.
3*(g + 3)**2
Suppose -4*q + 34 = -q + 4*w, 3*q + 3*w - 39 = 0. Suppose -q*o - 16 = -22*o. Factor -34 + 2*v + 4*v**2 + 4*v**3 - 2*v**o - 6*v**3 - v**4 + 33.
-(v - 1)*(v + 1)**2*(3*v - 1)
Let d = -363 - -368. Solve -q + 125*q**4 - 93*q**3 + d - 5 + 18*q**3 + 15*q**2 = 0.
0, 1/5
Let a(i) be the third derivative of -i**6/60 - 44*i**5/5 - 175*i**4/4 - 262*i**3/3 + 2*i**2 - 3911*i. Let a(r) = 0. What is r?
-262, -1
Let n(z) be the second derivative of z**6/10 + 273*z**5/20 + 373*z**4/2 + 328*z**3 + 12269*z. Factor n(j).
3*j*(j + 1)*(j + 8)*(j + 82)
Solve -8*x**2 + 2/7*x**3 + 2048/7 + 256/7*x = 0 for x.
-4, 16
Let s be (-165432)/(-396630) - 2/117. Suppose 16/5*k - 18/5 + s*k**2 = 0. What is k?
-9, 1
Let z be 1*-9 - ((-8)/(-44) + (-20162)/1870). Let 0 - 42/5*k**2 - 2/5*k**3 + 42/5*k**4 - z*k**5 + 2*k = 0. What is k?
-1, 0, 1/4, 1, 5
Factor 1/2*z**4 + 577/2*z + 119/2*z**3 + 465/2*z**2 + 115.
(z + 1)**2*(z + 2)*(z + 115)/2
Let l be (64/128)/(3/90). Let o(t) be the first derivative of -1/20*t**4 + 0*t**2 + 1/15*t**3 + l + 0*t. Determine r, given that o(r) = 0.
0, 1
Factor -2*i**3 - 21115*i + 10609/2 - 823/2*i**2.
-(i + 103)**2*(4*i - 1)/2
Let c(h) = 44*h**3 + 46*h**2 + 42*h + 30. Let u(w) = -14*w**3 - 16*w**2 - 14*w - 9. Let f(s) = -3*c(s) - 10*u(s). Factor f(j).
2*j*(j + 1)*(4*j + 7)
Let i be (9/3)/((-5)/(-9)*(-6)/(-8)). Factor 4/5*x**3 - 4 - 12/5*x**2 - i*x.
4*(x - 5)*(x + 1)**2/5
Let a(w) be the third derivative of 1/165*w**6 - 1/1848*w**8 + 0 + 17*w**2 - 2/33*w**3 - 1/44*w**4 + 0*w + 1/165*w**5 + 0*w**7. Let a(l) = 0. What is l?
-1, 1, 2
Suppose 137 = 4*b + 3*c, -5 = 4*c - 17. Suppose -b*x = 52 - 116. Factor 12/5*n**x + 16/5 + 32/5*n.
4*(n 