= w*q(u) - 6*o(u). Factor s(d).
-(d + 4)**3
Factor 0 + 2/7*y**2 - 176/7*y.
2*y*(y - 88)/7
Let w(k) = k**3 + 16*k**2 + 20*k - 2. Let g be w(-14). Let h be 6/(-5)*g/(-33). What is z in 4*z**4 + 2 + 2 - 11*z**2 + 4*z**5 + h*z - 8*z**3 + 3*z**2 = 0?
-1, 1
Suppose 46*q + 117*q - 40*q = 0. Let i(y) be the first derivative of -9 + q*y**2 + 8/35*y**5 + 1/21*y**6 + 0*y + 4/21*y**3 + 5/14*y**4. Factor i(b).
2*b**2*(b + 1)**2*(b + 2)/7
Let n(v) = -3*v**3 - 4*v**2 + 6*v + 6. Let m be n(-2). Let u be 184/140 + (-9)/30*m. Factor -1/7*h**3 + 0 - u*h**2 + 6/7*h.
-h*(h - 1)*(h + 6)/7
Let n(t) = 3*t**3 - 74*t**2 + 343*t + 1016. Let d(l) = -21*l**3 + 519*l**2 - 2397*l - 7113. Let z(s) = 2*d(s) + 15*n(s). Factor z(f).
3*(f - 13)**2*(f + 2)
Let s(c) be the third derivative of 0 - 1/60*c**5 - 65*c**2 - 16/3*c**3 + 0*c + 3/4*c**4. Determine f so that s(f) = 0.
2, 16
Let v(x) be the second derivative of -47*x**4/4 - 49*x**3/2 - 3*x**2 - 75*x. Factor v(m).
-3*(m + 1)*(47*m + 2)
Let x(p) be the first derivative of 134*p**3 + 401*p**2/2 - p - 6384. Find u, given that x(u) = 0.
-1, 1/402
Let a(h) be the third derivative of 0 + 0*h**4 - 2*h**2 + 0*h**3 - 79*h + 1/780*h**6 - 4/195*h**5. Let a(k) = 0. Calculate k.
0, 8
Let j be -2 - ((-76)/18 + 2). Let u = -890254/9 - -98918. Factor u + j*i**2 - 8/9*i.
2*(i - 2)**2/9
Factor 23 - 8 - 1 + 102*t + 3*t**2 + 48 + 37.
3*(t + 1)*(t + 33)
Determine a so that -16 + 15*a**3 + 13*a**2 + 3*a**2 + 11 + 5*a**2 - 7 - 24*a = 0.
-2, -2/5, 1
Suppose 16/5 + 1/5*x**4 - 8/5*x**2 - 3/5*x**3 + 12/5*x = 0. Calculate x.
-2, -1, 2, 4
Let u(b) be the second derivative of b**8/5880 + 2*b**7/735 + b**6/180 - b**3/6 + 27*b**2/2 + 218*b. Let f(d) be the second derivative of u(d). Factor f(g).
2*g**2*(g + 1)*(g + 7)/7
Let n(l) be the second derivative of -l**7/126 + 121*l**6/90 - 62*l**5 + 100*l**4 + l - 1002. Factor n(b).
-b**2*(b - 60)**2*(b - 1)/3
Let u(m) = 4*m + 171. Let r be u(-40). Factor 19*k**2 + 1 - 28*k + 28*k**3 + 4 - 34*k**2 + r*k**2 - 1.
4*(k - 1)*(k + 1)*(7*k - 1)
Factor -356/5*s - 76/5*s**2 + 4/5*s**3 - 276/5.
4*(s - 23)*(s + 1)*(s + 3)/5
Let u = -39 - -50. Let f = 61 - u. Factor f*d**4 - d**2 + 49*d**4 + d + 0*d - 98*d**4 - d**3.
d*(d - 1)**2*(d + 1)
Let v(m) = m**2 + m - 14. Let r be v(-8). Factor 37*d - d**3 - r + 17*d**2 + 34 + 27.
-(d - 19)*(d + 1)**2
Let d(w) be the first derivative of -2*w**3/27 - 25*w**2/9 + 12*w - 452. Find h, given that d(h) = 0.
-27, 2
Factor 3/7*n**3 - 324/7 + 102/7*n**2 - 225/7*n.
3*(n - 3)*(n + 1)*(n + 36)/7
Suppose 2*z = -i - 464, -2338 = 5*i + z - 0*z. Let f be (9/4)/((-9)/i). Determine u so that -21*u**2 + 49*u**2 - 24*u**2 + f*u**4 - 48*u**3 + 169*u**5 = 0.
-1, 0, 2/13
Let p(d) be the third derivative of -d**5/12 + 55*d**4/24 - 15*d**3 - 60*d**2. Let p(k) = 0. What is k?
2, 9
Let t = 202 + 2098. Let j be 8/(-14) + t/(-532) + 5. Find i, given that -14/19*i - j*i**2 - 12/19 = 0.
-6, -1
Let b(p) = 2*p**4 + 122*p**3 - 1346*p**2 + 6718*p - 12540. Let i(t) = -5*t**4 - 123*t**3 + 1345*t**2 - 6717*t + 12538. Let a(u) = -3*b(u) - 2*i(u). Factor a(x).
4*(x - 8)**2*(x - 7)**2
Factor -4/5*d + 12 + 1/5*d**4 - 12/5*d**3 - 9*d**2.
(d - 15)*(d - 1)*(d + 2)**2/5
Suppose -1435 = -5*d + 4*f + 135, -5*f + 1297 = 4*d. Let s be 0/d - (-1 + -3)*1. Factor -1/2*j**s + 0 + 0*j + 0*j**2 - j**3.
-j**3*(j + 2)/2
Let d = 3/22 + 23/33. Let m be (-6 - 1)*31/(-62)*10/70. Suppose n**5 - m*n**2 + d*n**4 + 7/6*n - 17/6*n**3 + 1/3 = 0. Calculate n.
-2, -1/2, -1/3, 1
Factor 10/3*t**2 + 0 - 4*t - 2/3*t**3.
-2*t*(t - 3)*(t - 2)/3
Let c(t) be the third derivative of 0*t + 3/2*t**4 - 1/60*t**5 + 3 - 54*t**3 - 24*t**2. Solve c(o) = 0 for o.
18
Suppose -12 - 5043*c**2 - 17746*c + 35604*c - 17366*c = 0. What is c?
2/41
Let q(f) be the first derivative of -3*f**5/20 - 399*f**4/8 - 17689*f**3/4 - 3493. Factor q(m).
-3*m**2*(m + 133)**2/4
Let x(w) be the first derivative of w**7/1344 + w**6/960 - w**5/480 - 6*w**3 + 50. Let p(v) be the third derivative of x(v). Solve p(h) = 0.
-1, 0, 2/5
Let d = 2434 + -2432. Let y(h) be the second derivative of -72*h**d - 1/3*h**4 + 8*h**3 + 0 + 7*h. Factor y(z).
-4*(z - 6)**2
Let p(r) be the second derivative of 4*r**4/9 + 742*r**3/27 - 62*r**2/9 - 2866*r. Suppose p(k) = 0. What is k?
-31, 1/12
Let u be (-7)/((-36)/378*3 + (-164)/14). Let c(y) be the third derivative of -y**3 + 0*y + 0 - 2/15*y**5 - u*y**4 - 37*y**2. Factor c(s).
-2*(s + 1)*(4*s + 3)
Let s be (-1412)/(-12) + 1 - 156/26. Factor -s - 52/3*d - 2/3*d**2.
-2*(d + 13)**2/3
Let g = -3231 + 3235. Let r(d) be the first derivative of -19/20*d**5 + 0*d**2 + 5/12*d**6 - 17 + 0*d - 1/6*d**3 + 11/16*d**g. Determine o so that r(o) = 0.
0, 2/5, 1/2, 1
Let d = 314762 - 314760. Solve 0 - 8/5*c**d + 0*c - 2/5*c**3 = 0 for c.
-4, 0
Let w = -36 + 38. Let f be (8 + -12)*w/4*-1. Solve -b**2 - 2*b**2 - 2*b**f + 2*b**2 + 3*b = 0.
0, 1
Determine w so that -8*w**2 + 8*w**2 - w**2 - 1035*w + 1053*w = 0.
0, 18
Let b(g) = -7*g**4 - 8*g**3 + 85*g**2 - 16*g + 12. Let t(d) = -d**4 - d**3 + 11*d**2 + 2*d. Let i(m) = -b(m) + 6*t(m). Factor i(v).
(v - 2)*(v - 1)**2*(v + 6)
Suppose 4*a**3 - 64 - 11*a**2 + 43*a - 47*a + 75*a**2 = 0. Calculate a.
-16, -1, 1
Factor 164/11*d - 2/11*d**2 + 336/11.
-2*(d - 84)*(d + 2)/11
Let b(h) be the first derivative of h**6/10 - h**4/4 + 106*h + 58. Let g(t) be the first derivative of b(t). Let g(q) = 0. Calculate q.
-1, 0, 1
Let c(u) be the first derivative of -u**3/4 + 939*u**2 - 1175628*u + 1522. Solve c(s) = 0.
1252
Let z(p) be the second derivative of -p**4/114 + 206*p**3/57 + 416*p**2/19 + 894*p. Suppose z(y) = 0. Calculate y.
-2, 208
Let g be (-4)/(21760/(-388)) + (12 - 2050/170). Let h(s) be the third derivative of 5/32*s**4 - s**2 + g*s**5 + 3/4*s**3 + 0*s + 10. Factor h(i).
3*(i + 2)*(i + 3)/4
Let a = 10/63867 - 36348583/52754142. Let x = 3/118 - a. Factor -9/7*j**3 - 1/7*j**5 + x*j**4 + j**2 - 2/7*j + 0.
-j*(j - 2)*(j - 1)**3/7
Let j(p) be the third derivative of 1/360*p**6 + 0*p**3 - 2*p**2 - 13/36*p**4 - 182*p - 11/180*p**5 + 0. Solve j(y) = 0.
-2, 0, 13
Let y(k) be the first derivative of 35/2*k**2 + 0*k - 1/3*k**5 - 25/12*k**4 - 52 + 85/9*k**3. Let y(p) = 0. Calculate p.
-7, -1, 0, 3
Factor -12*n**3 - n**5 - 57*n + 30*n**3 + 36 + 55*n**2 - 29*n**2 - 22*n**2.
-(n - 4)*(n - 1)**2*(n + 3)**2
Let o(u) be the second derivative of u**5/110 + 16*u**4/33 + 325*u**3/33 + 1014*u**2/11 + 1468*u. Factor o(s).
2*(s + 6)*(s + 13)**2/11
Factor 4/9*w - 2/9*w**4 + 0*w**2 + 2/9 - 4/9*w**3.
-2*(w - 1)*(w + 1)**3/9
Let n(w) be the third derivative of 5*w**8/672 - 11*w**7/28 - w**6/48 + 11*w**5/8 - w**2 + 12. Determine a, given that n(a) = 0.
-1, 0, 1, 33
Let g(v) = 8*v**2 + 66*v + 14. Let z(a) = 3*a**2 - 31*a - 67. Let w be z(-2). Let k(t) = -5*t**2 - 33*t - 8. Let j(y) = w*k(y) + 4*g(y). Solve j(o) = 0.
0, 11
Let x(m) = 31*m**2 - 23*m + 42. Let f(z) = -28*z**2 + 24*z - 41. Let k(n) = 10*f(n) + 9*x(n). Factor k(i).
-(i - 32)*(i - 1)
Let t = -45 - -42. Let n(o) = -o**2 - 4*o. Let b be n(t). Solve 8*c + 27*c + 143 - 5*c**b - 113 = 0 for c.
-2, -1, 3
Factor -49/4*g**3 - 1/4*g**4 - 113/2*g**2 - 66*g + 0.
-g*(g + 2)*(g + 3)*(g + 44)/4
Let p(m) be the first derivative of m**3 + 282*m**2 + 26508*m - 3213. Find z such that p(z) = 0.
-94
Let k(f) be the third derivative of -f**6/360 - 5*f**5/36 - 25*f**4/9 - 250*f**3/9 - 2*f**2 - 239*f. Factor k(j).
-(j + 5)*(j + 10)**2/3
Let h = 27 + -11. Suppose -u + 4 = s, -2*u + h = 7*s - 3*s. What is i in -s*i**2 - 30*i + i**4 + 30*i = 0?
-2, 0, 2
Let y(w) be the second derivative of -w**5/10 - 67*w**4/3 + 409*w**3/3 - 274*w**2 - 1643*w. Factor y(v).
-2*(v - 2)*(v - 1)*(v + 137)
Let p(x) be the second derivative of 3*x**5/160 - 35*x**4/32 + 17*x**3/8 - 259*x - 13. Factor p(c).
3*c*(c - 34)*(c - 1)/8
Let i = 124237/5 - 24841. Factor i*q - 4/5*q**2 - 64/5.
-4*(q - 4)**2/5
Let c(v) = -2*v**2 - 56*v + 235. Let q(m) = m**2 - 2*m - 1. Let g(h) = 5*c(h) + 15*q(h). Solve g(l) = 0 for l.
4, 58
Let j(r) be the second derivative of 245/24*r**4 - 35*r - 7/12*r**5 + 0*r**2 + 3/2*r**3 + 1/72*r**6 + 0. Let n(x) be the second derivative of j(x). Factor n(u).
5*(u - 7)**2
Suppose -2*h + h + 4*r + 18 = 0, 3*h - 38 = -4*r. Suppose -5*g = -h*g + 36. What is q in -q**g + 38*q - 2*q**2 - 3*q**3 - q**2 - 39*q = 0?
-1, 0
Let i be (-28)/20 - -1 - 278