for d.
-1, 0, 1
Suppose -4199*l + 461*l - 1145*l + 32360 = 3207*l. Determine i, given that -3/4*i**2 + 1/4*i**3 - 1/8*i + 3/8 - 1/8*i**5 + 3/8*i**l = 0.
-1, 1, 3
Let y(b) = -151*b + 53*b + 49*b - 2 - b**2 + 51*b. Let c(g) = 16*g**2 - 104*g - 542. Let k(o) = 2*c(o) + 36*y(o). Factor k(i).
-4*(i + 17)**2
Solve -393 - 24*y - 1117*y**2 + 2*y**3 + 1 + 1081*y**2 + 234*y = 0.
4, 7
Let n(c) = c**2 - 9*c + 23. Suppose 4*u - 73 = 3*b, -4*b + 3 = -1. Let x be n(u). Let -198*q**2 - q**3 + 6*q**3 - 20 + x*q**2 = 0. Calculate q.
-2, 1
Let v(i) be the second derivative of 8/9*i**3 - 1 + 11/9*i**4 - 14*i - 10*i**2. Let v(f) = 0. Calculate f.
-15/11, 1
Find p such that -18 + 522*p - 521*p + 74 - 160*p**2 + 159*p**2 = 0.
-7, 8
Let s(o) be the first derivative of 0*o + 2/15*o**3 - 38 + 2/5*o**2. Determine k, given that s(k) = 0.
-2, 0
Suppose -368/3 + 1/3*b**2 + 182/3*b = 0. Calculate b.
-184, 2
Let j(f) be the second derivative of 145/6*f**3 + 4*f**5 + 215/12*f**4 + 0 - 2/3*f**6 + 15*f**2 - 35*f. Suppose j(w) = 0. What is w?
-1, -1/2, 6
Suppose -4*j - 6 = -2*r, -26*j - 21 = -24*j - 7*r. Let 2/13*a**2 + j + 6/13*a = 0. Calculate a.
-3, 0
Let w(j) = -j**3 + 3*j + 5. Let z be w(2). Let d be (22/132)/(z/30). Factor 1/6*u**2 - d*u + 25/6.
(u - 5)**2/6
Let h = -63321088/513667 - 4/46697. Let j = 13593/110 + h. Factor -3/10*i**3 + 1/10*i**4 + 1/10*i**2 + j*i - 1/5.
(i - 2)*(i - 1)**2*(i + 1)/10
Let z = -4826 + 4835. Let c(h) be the first derivative of 5/3*h**3 - z + 0*h + 5/2*h**2. Factor c(j).
5*j*(j + 1)
Suppose -3*t = 453 - 519. Factor -3*n**2 - 2*n**2 + t - 5*n**3 - 22 + 10*n.
-5*n*(n - 1)*(n + 2)
Suppose 0 = 4*u + 20, -5*o - 5*u + 0*u = -13105. Let p be -14 - 48/(-6) - (-32)/4. Factor -o + 2626 + 4*k**p - 2*k**3.
-2*k**2*(k - 2)
Let j(q) be the first derivative of 0*q + 10/3*q**3 - 69/14*q**2 - 1/28*q**4 - 293. Factor j(l).
-l*(l - 69)*(l - 1)/7
Let u(m) be the first derivative of 5*m**5/4 - 5*m**4/3 + 2*m**3/3 - 3*m + 120. Let t(l) be the first derivative of u(l). Factor t(w).
w*(5*w - 2)**2
Let k(t) be the second derivative of t**6/12 - 29*t**5/24 + 5*t**4/4 - 2483*t. Let k(n) = 0. Calculate n.
0, 2/3, 9
Suppose 4*r + 5*d = 9, -2*r - 3*r - 5*d = -15. Determine c, given that -6 - 43 - 17 + 5*c**2 + 5*c + r = 0.
-4, 3
Factor 2/5*o**3 + 591576/5*o + 61918288/5 + 1884/5*o**2.
2*(o + 314)**3/5
Suppose 0 = 5*f, -j + 2*f - 5 + 7 = 0. Let 3*w**2 + 5*w**5 + 28*w**2 - 360 + 19*w**j - 75*w**3 + 300*w = 0. Calculate w.
-3, 2
Let a = -146/2657 + 56089/5314. Determine o so that a*o + 6 + 9/4*o**2 = 0.
-4, -2/3
Suppose 0*d - 4 = -2*d. Let v = 112841/3270 + -13/1635. Determine r, given that v*r**d + 3/4*r**4 + 75/4 - 9*r**3 - 45*r = 0.
1, 5
Suppose -10*f = -3*f - 49. Factor -21*s**3 - 2*s**4 + 9*s**3 - 8*s**2 - 10*s**2 - f*s - s.
-2*s*(s + 1)**2*(s + 4)
Let q(l) be the second derivative of -l**8/192 + l**7/42 - l**6/48 - l**5/12 + l**4/2 - l**3/2 + 5*l. Let x(w) be the third derivative of q(w). Factor x(r).
-5*(r - 1)**2*(7*r + 2)
Let b(x) be the first derivative of -28*x**5/5 - 335*x**4/3 + 28*x**3/3 + 48*x**2 + 113*x + 63. Let j(t) be the first derivative of b(t). What is i in j(i) = 0?
-12, -1/4, 2/7
Let j be (-30)/(-9)*9/6 + 0. Suppose j*r + r - 12 = 0. Factor -38*a + 3*a**r + 38*a.
3*a**2
Suppose -5*b - 17 = p, -b - 2*p = 3 - 5. Let k(x) = -204*x**2 + 114*x - 7. Let w(y) = -1835*y**2 + 1025*y - 65. Let l(j) = b*w(j) + 35*k(j). Factor l(a).
5*(4*a - 1)*(10*a - 3)
Let j = -172 - -241. Factor -73*w**2 - 2*w**3 + j*w**2 + 0*w**3.
-2*w**2*(w + 2)
Determine z so that -4*z**5 + 564*z + 35930*z**2 + 72*z**4 - 36090*z**2 + 504 - 216*z**3 + 72*z = 0.
-1, 3, 14
Suppose 20*t = 8*t. Factor 14*m**4 - 22*m**4 - 5*m**5 + 3*m**5 + 0*m**3 + t*m**3 - 6*m**3.
-2*m**3*(m + 1)*(m + 3)
Suppose -224 - 342*m + 87*m - 18*m**2 + 112*m**3 - 93*m - 10*m**4 + 16*m**4 = 0. What is m?
-56/3, -1, 2
Let q(d) be the first derivative of -d**6/2 - 39*d**5/5 - 30*d**4 - 36*d**3 - 44. Factor q(p).
-3*p**2*(p + 2)**2*(p + 9)
Suppose -z - 61 = -63. Factor -198*n + 110 + 60*n**3 - 353 + 54*n**2 + 738*n - 408*n**z - 3*n**4.
-3*(n - 9)**2*(n - 1)**2
Let o be 58 - (-7 - (-6 - -6)). Let k be 1 + (-39)/o*2/6. Factor -4/5*x + 1/5*x**2 + k.
(x - 2)**2/5
Let c(g) = -27*g - 184. Let k be c(-7). Let a be -1 + (-3)/6*-4. Suppose -2*n**3 + k*n**2 + 12*n**5 - 11*n**5 - n**4 - a + n - 3*n**2 = 0. Calculate n.
-1, 1
Let a = 83097 + -1080259/13. Factor 2/13*t**2 - 2/13*t**4 - a*t**5 + 8/13 + 10/13*t**3 - 16/13*t.
-2*(t - 1)**3*(t + 2)**2/13
Let n(j) be the second derivative of j**8/13440 - j**7/630 - 19*j**4/6 + 13*j + 2. Let f(o) be the third derivative of n(o). Determine z so that f(z) = 0.
0, 8
Let z be 8/((-74)/(-76) + -1). Let l be z/(-171) - (-4)/18. Suppose -2*k**l + 0 + 2 + 7 - 1 = 0. What is k?
-2, 2
Let -5*j**4 + 11*j**2 - 1927*j**5 + 18*j**3 + 1921*j**5 - 18*j + 5*j**4 - 9*j**4 + 4*j**2 = 0. Calculate j.
-2, -3/2, 0, 1
Let k(v) be the first derivative of 3*v**5 - 2185*v**4/2 + 105605*v**3 + 107310*v**2 - 106580*v - 5326. Solve k(n) = 0.
-1, 1/3, 146
Let v(y) = -y**2 - 18*y + 119. Let o be v(-23). Factor -32*b + 5*b**o - 193*b - 55*b**3 + 0*b**4 + 195*b**2.
5*b*(b - 5)*(b - 3)**2
Let y(w) be the third derivative of w**6/75 + 51*w**5/50 - 317*w**4/30 - 56*w**3/5 + 2852*w**2. Find u, given that y(u) = 0.
-42, -1/4, 4
Let n(s) = 16*s**2 - 972*s - 1956. Let t(z) = 3*z**2 - z - 1. Let l(h) = n(h) - 4*t(h). Find j such that l(j) = 0.
-2, 244
Let w = -42 + 48. Let p be w - -2 - 5 - 1*3. Factor 3/2*o**5 + 0*o**2 + 0*o**4 + p + 0*o - 3/2*o**3.
3*o**3*(o - 1)*(o + 1)/2
Let z be (69/30 + -3)*210/(-735). Let j(c) be the first derivative of z*c**3 - 12/5*c + 9/10*c**2 + 2. Suppose j(v) = 0. What is v?
-4, 1
Suppose -7*o - 953 = -3*w - 5*o, 2*w - 631 = -3*o. Let k = w + -315. What is s in -8/5*s**2 + k*s - 4/5 + 2/5*s**3 = 0?
1, 2
Let l(j) = 4*j**3 + j**2 - 1. Let b(i) = 37*i**3 - 227*i**2 - 505*i + 107. Let a(m) = b(m) - 3*l(m). Factor a(c).
5*(c - 11)*(c + 2)*(5*c - 1)
Suppose 4*c = 2*d + 3*d - 28, -3*d + 5*c + 22 = 0. Let h be (d + (-50)/15)/2*0. Factor 0*n + h + 2/3*n**4 - 7/3*n**3 + n**2.
n**2*(n - 3)*(2*n - 1)/3
Find f, given that -2 + 15/7*f - 1/7*f**2 = 0.
1, 14
Let z(v) be the third derivative of v**6/90 + 4*v**5/5 - 67*v**4/6 + 328*v**3/9 + 2*v**2 + 2. Factor z(n).
4*(n - 4)*(n - 1)*(n + 41)/3
Let x(i) be the second derivative of -i**5/40 + i**4/12 + 3*i**3/4 - 9*i**2/2 - 1062*i. Determine d, given that x(d) = 0.
-3, 2, 3
What is d in -564*d**2 - 5/2*d**4 - 1600 + 89*d**3 - 4240*d = 0?
-4, -2/5, 20
Suppose 10*z - 10 + 0 = 0. Suppose 3*a + 15 = 0, -2*n = -4*a - 25 - z. Factor 2*h**5 + 6*h**2 - 58*h - 6*h**4 + 2*h**n - 60*h + 114*h.
2*h*(h - 2)*(h - 1)**2*(h + 1)
Let -1021*f + 2748 - 509*f - 3*f**2 - 2590*f = 0. What is f?
-1374, 2/3
Let m(g) = -g**4 + 4*g**3 + 3*g**2 + 6*g + 4. Let x(j) = 3 - 6995*j + 6999*j + 0*j**2 + 3*j**2 + 3*j**3 - j**4. Let b(t) = -3*m(t) + 4*x(t). Factor b(k).
-k*(k - 1)**2*(k + 2)
Let j(d) = 4*d**3 - 4*d**2 - 2*d - 3. Let l = -113 - -120. Let k(t) = -4*t + 2*t**3 - l*t**2 - 8 + 5 + 5*t**3 - 2. Let x(s) = -5*j(s) + 3*k(s). Factor x(n).
n*(n - 2)*(n + 1)
Let g(w) = 2300*w. Let t be g(1). Determine b, given that 11 - t*b**2 + 1128*b**2 + 32*b - 4*b**3 + 1128*b**2 + 5 + 16*b**3 = 0.
-1/3, 2
Let p(o) = 2*o + 40. Let s be p(-19). Let b be 69052/427 - s/(-7). Determine k, given that -3/2*k**3 - b*k - 27*k**2 - 324 = 0.
-6
Suppose 5*v = 4*s + 4, 0*v = 3*v + 3*s - 24. Factor -v*l**2 + 3*l**2 - 100 - 3*l**2 - l**2 + 105*l.
-5*(l - 20)*(l - 1)
Let p(v) be the third derivative of 0 + 1/360*v**5 - 110*v**2 + 6241/36*v**3 + 0*v - 79/72*v**4. Factor p(x).
(x - 79)**2/6
Let w(l) be the first derivative of 2048*l**6/3 - 10752*l**5/5 - 2940*l**4 + 42488*l**3/3 - 18447*l**2/2 + 2178*l - 1937. What is d in w(d) = 0?
-2, 1/4, 33/16
Let m = -2226165/7 + 318024. Solve 9/7*i + m*i**3 + 12/7*i**2 + 0 = 0 for i.
-3, -1, 0
Let a(y) = 2*y**4 - 9*y**3 - 11*y**2 - 3. Let g(n) = 4*n**4 - 17*n**3 - 21*n**2 - 7. Let t be (-1*21/(-6))/(6/(-12)). Let s(b) = t*a(b) + 3*g(b). Factor s(c).
-2*c**2*(c - 7)*(c + 1)
Find h such that -185/3*h**3 + 15*h**2 - 20 + 5*h**4 + 185/3*h = 0.
-1, 1/3, 1, 12
Let u be (3 - 1)/((-36)/(-24)). Find q such that -u*q**2 + 2/15*q**3 + 0*q + 0 = 0.
0, 10
Let x(c) = c**2 + 5*c + 5*c - 749 + 769. Let j be