erivative of u(n). Factor g(k).
-(k - 6)*(k + 1)**2/3
Suppose 0 = 3*z - 4*c - 17, -4*z - 282*c = -278*c - 4. Factor 0*r - 2/7*r**2 + 0 + 1/7*r**z.
r**2*(r - 2)/7
Let l = -25798 - -25802. Determine c so that 1/3 + 1/3*c**l - 1/3*c + 2/3*c**3 - 1/3*c**5 - 2/3*c**2 = 0.
-1, 1
Let o be (-1)/(-1) + (5 - -35). Let a = -39 + o. Let 6 - 5 - 1 - 3*j**3 - 6*j - 9*j**a = 0. Calculate j.
-2, -1, 0
Let u(n) be the third derivative of n**7/280 + n**6/120 + 17*n**3/6 - n**2 + 22*n. Let c(h) be the first derivative of u(h). Let c(o) = 0. Calculate o.
-1, 0
Let y = 1125547 - 3376393/3. Factor y*d**3 + 354*d**2 - 108*d + 14/3*d**4 + 0.
2*d*(d + 9)**2*(7*d - 2)/3
Let a(s) = -s**2 + 14*s + 35. Let b be a(15). Factor -b*q**3 + 348*q - 273*q**2 - 13*q - 47*q**2 - 85.
-5*(q + 17)*(2*q - 1)**2
Let i(r) be the third derivative of -1/40*r**5 + 0*r - 126*r**2 - 3/4*r**3 + 1/4*r**4 + 0. Factor i(o).
-3*(o - 3)*(o - 1)/2
Let q = 3/84115 - -757014/588805. Suppose 12/7 - 6/7*a**3 - 3/7*a**4 + q*a**2 + 24/7*a = 0. Calculate a.
-2, -1, 2
Let m(s) be the second derivative of -s**5/10 + 13*s**4/3 + 40*s**3 - 3*s + 1308. Factor m(v).
-2*v*(v - 30)*(v + 4)
Suppose 4*q - 3*d = 10, -d = -10*q + 9*q + 3. Let g(n) = 6*n. Let z(t) = 2*t - t + 0*t + t**2. Let j(v) = q*g(v) - 3*z(v). Factor j(k).
-3*k*(k - 1)
Suppose -52*v = -58*v + 60. Let i(n) be the first derivative of v - 9/20*n**5 - 1/8*n**6 + 0*n**2 + 0*n**3 + 0*n - 3/8*n**4. Factor i(c).
-3*c**3*(c + 1)*(c + 2)/4
Suppose 22*v - 49 = 7 + 10. Let 484*f**2 + 12 - 132*f - 5324/9*f**v = 0. What is f?
3/11
Let t be ((-5)/(-1))/(((-570)/12)/(-19)). Suppose 27 - t*l**4 + 31*l**3 + 46*l**2 + 78*l - 13*l**3 + 9 - 16*l**3 = 0. What is l?
-3, -1, 6
Let s(x) = -5*x + 15. Let r(u) = u**2 - 4*u + 15. Suppose -53*t - 475 = 42*t. Let j = 20 - 14. Let m(v) = j*s(v) + t*r(v). Factor m(f).
-5*(f - 1)*(f + 3)
Let i(s) = -10*s + 42. Let f be i(4). Factor f*m**2 - 2*m**3 + 7*m + m**3 + 17 - 13.
-(m - 4)*(m + 1)**2
Let w(q) = q + 14. Let s be w(-12). Factor -36 + 205*v**2 - 2*v**4 - 396*v**s + 205*v**2 - 30*v + 6*v**3.
-2*(v - 3)**2*(v + 1)*(v + 2)
Let d(n) be the first derivative of n**4/8 - 212*n**3/3 + 836*n**2 - 3328*n + 3632. Factor d(g).
(g - 416)*(g - 4)**2/2
Let t(s) be the first derivative of 0*s + 0*s**3 - 1/6*s**4 + 0*s**2 - 1/9*s**6 + 4/15*s**5 + 85. Factor t(k).
-2*k**3*(k - 1)**2/3
Let n(m) be the second derivative of -m**5/5 + 23*m**4 - 666*m**3 - 13690*m**2 + 316*m. Factor n(f).
-4*(f - 37)**2*(f + 5)
Factor -48/7*i - 3/7*i**4 - 15/7 - 24/7*i**3 - 54/7*i**2.
-3*(i + 1)**3*(i + 5)/7
Let w(q) be the first derivative of -q**4/16 - 89*q**3/12 - 43*q**2/4 + 44*q + 4998. Factor w(v).
-(v - 1)*(v + 2)*(v + 88)/4
Let q be (-9)/5*(-105 - (-6594)/63). Factor 48/5*g**2 + 54/5 + 21*g - q*g**3.
-3*(g - 18)*(g + 1)**2/5
Factor -201/5*m**2 + 408/5 - 942/5*m + 3*m**3.
3*(m - 17)*(m + 4)*(5*m - 2)/5
Factor -16*x**2 - 1/3*x**3 - 137/3*x - 30.
-(x + 1)*(x + 2)*(x + 45)/3
Let n(j) be the second derivative of -j**6/240 + 53*j**5/160 - 103*j**4/96 + 17*j**3/16 - 1962*j. Suppose n(g) = 0. What is g?
0, 1, 51
Let l be -1494 + 1472 + 4*6. Let -20/3*j - 5/6*j**l - 10 = 0. What is j?
-6, -2
Let g = 334 - 314. Let q be (5 + (-55)/g)/((-1)/(-1)). Factor 3*o + 1 + q*o**2.
(3*o + 2)**2/4
Let s = 93 - 91. Factor 2*n**s - 3*n**2 + 3*n**2 - 6*n + 4.
2*(n - 2)*(n - 1)
Let k = 54 + -44. Suppose -k*w = -12*w + 16. Factor -3*f**2 + w*f**2 - 65 + 50*f + 190 + 0*f**2.
5*(f + 5)**2
Suppose 453*b**3 - 368*b**2 + 8*b**5 - 1248*b - 125*b**3 + 92*b**4 - 12*b**5 = 0. Calculate b.
-3, -2, 0, 2, 26
Let h be 522/(-232) + 371/(-700)*-5. Suppose h*w - 2/5*w**2 + 4/5 = 0. What is w?
-1, 2
Let m = 524 - 522. Suppose 22*d + 3*a = 21*d - 3, -2*d = -m*a - 10. Solve -2/11 - 4/11*h**d + 6/11*h**4 - 2/11*h**5 - 4/11*h**2 + 6/11*h = 0.
-1, 1
Let t = 25 - 21. Let q(f) = 17*f**3 - 47*f**2 - 348*f + 83. Let m(i) = 8*i**3 - 23*i**2 - 174*i + 41. Let b(k) = t*q(k) - 7*m(k). Determine l so that b(l) = 0.
-3, 1/4, 5
Let d(v) = 9*v**2 - 40*v + 60. Let t(r) = -r**2. Suppose i - 6*i + 5*p - 10 = 0, 20 = 5*i + 5*p. Let n(o) = i*d(o) + 4*t(o). Factor n(y).
5*(y - 6)*(y - 2)
Let s(z) be the first derivative of 15*z**4/4 - 7*z**3/12 - 49*z**2/8 - z - 1747. Factor s(t).
(t - 1)*(5*t + 4)*(12*t + 1)/4
Let x = 22900/69 + -7618/23. Find z, given that 0*z - x - 4/3*z**3 + 2*z**2 = 0.
-1/2, 1
Let j(b) be the first derivative of 120 + 96/7*b + 1/7*b**3 + 99/14*b**2. Factor j(d).
3*(d + 1)*(d + 32)/7
Let b(c) be the third derivative of -c**6/1080 + 43*c**5/135 - 1580*c**2. Find w such that b(w) = 0.
0, 172
Let t(b) = -3*b**3 + 3*b**2 + 8*b - 8. Let s(r) = 10*r - 16*r + 7*r + r - r**3 - 2. Let f(w) = -4*s(w) + t(w). Factor f(g).
g**2*(g + 3)
Let n = -25 + 190. Find w, given that 1 + 4*w**2 - 173*w + 3 + n*w = 0.
1
Let t(z) be the first derivative of 20 - 4*z**2 + 1/5*z**5 + 0*z - 2*z**3 + 3/4*z**4. Let t(r) = 0. Calculate r.
-4, -1, 0, 2
Suppose -5*c + c + 4*t = -20, 0 = -2*t. Suppose 3*j + 5*b - 26 = j, 5*j = 4*b - 1. Factor c*d**4 - 8*d**j + 28*d**5 - 15*d**5 - 14*d**5 + 4*d**2.
-d**2*(d - 2)**2*(d - 1)
Let o(a) be the second derivative of a**9/4536 + a**8/280 + 2*a**7/105 + a**6/27 + 31*a**3/2 + 140*a. Let l(q) be the second derivative of o(q). Factor l(z).
2*z**2*(z + 2)**2*(z + 5)/3
Let t be (4/(-6))/(32/(-960)). Let v be (-3 + 0)/(3 + (-90)/t). Find r such that -2*r**3 - 3*r**2 - v*r - 1/2 - 1/2*r**4 = 0.
-1
Let d = 971936 - 2915650/3. Factor -44/3 - 14/3*h**2 + d*h.
-2*(h - 11)*(7*h - 2)/3
Suppose 254 = 3*b + 65. Suppose 13*k = b - 11. What is d in -3/2*d - d**2 + 2*d**3 + 1 + 0*d**k - 1/2*d**5 = 0?
-2, -1, 1
What is g in 8*g**2 - 3/5*g**5 + 48/5*g + 16/5 + 0*g**3 - 11/5*g**4 = 0?
-2, -1, -2/3, 2
Let v = -822967/805 + 5112/5. Let t = 8/23 + v. Solve -3/7*k + t*k**3 + 9/7*k**2 - 6/7 - 3/7*k**4 = 0 for k.
-1, 1, 2
Determine l, given that -2*l**5 + 75*l**3 + 2*l**4 + 33*l**3 + 48*l**2 - 68*l**3 + 2*l**4 = 0.
-2, 0, 6
Suppose 587*y = 611*y - 292 - 356. Let v(f) be the second derivative of -10/3*f**3 + y*f + 0 + 2/3*f**4 - 6*f**2. Factor v(k).
4*(k - 3)*(2*k + 1)
Let f(t) = t + 14. Suppose 0 = -3*b + 5*k - 21, 0 = -4*b - 3*k + 1. Let p be f(b). Suppose 15 - p*m**2 + 0 - 7 + 4*m**3 + 8 = 0. Calculate m.
-1, 2
Suppose 4*m + 196 = 4*l + l, 0 = -5*l + 5*m + 195. Let s = -38 + l. Factor 7*a + 8*a + 16*a + a**s - 26*a.
a*(a + 5)
Let b(k) = k**2 - 228*k + 116*k + 110*k. Let h(m) = m**2 + 16*m - 20. Let j(i) = -6*b(i) + 2*h(i). Factor j(p).
-4*(p - 10)*(p - 1)
Suppose 1/2*g**4 - 116 + 62*g - 31/2*g**3 + 27*g**2 = 0. What is g?
-2, 2, 29
Suppose 334*s - 347*s = -65. Let o(z) be the second derivative of 12*z - 3/20*z**s - 3/2*z**3 - 3/2*z**2 - 3/4*z**4 + 0. Factor o(a).
-3*(a + 1)**3
Suppose -4*h + 1755 = 5*h. Let v be 83/(h/(-50) + 4). Let -p**2 + v - 830 - 8*p + 3*p**2 = 0. Calculate p.
0, 4
Let x(p) be the third derivative of -37*p**2 - 11/14*p**5 - 4/105*p**6 + 0*p - 121/21*p**4 + 1331/42*p**3 - 1/1470*p**7 + 0. Factor x(n).
-(n - 1)*(n + 11)**3/7
Solve -464*t**2 - 2918*t**4 - 16*t**3 - 5*t**3 - 2926*t**4 - 21*t**3 + 5846*t**4 = 0.
-8, 0, 29
Let v be (12 - 18)*(-6)/4. Suppose -5*b + v*b - 8 = 0. Solve 2/5*p**b + 10 + 4*p = 0 for p.
-5
Let l(b) = 11*b**5 + b**4 - 3*b**3. Let u(z) = -3*z**2 - 26*z**3 + 3*z**2 + 88*z**5 + 8*z**4 + 10*z**5. Let f(q) = -52*l(q) + 6*u(q). Let f(j) = 0. Calculate j.
0, 1/4
Let n be (-2245)/45 + 1/(-9 - 0). Let q be (-1296)/(-90)*n/(-15). Let 8/3*w**3 + 32*w - q*w**2 + 128/3 + 4*w**4 = 0. Calculate w.
-4, -2/3, 2
Let a(w) be the first derivative of 3*w**5/20 + 657*w**4/8 + 46177*w**3/4 - 146511*w**2 + 596748*w + 13489. Suppose a(q) = 0. What is q?
-223, 4
Factor 6621 - 12691 + 462*v + 6801 - v**2 + 268*v.
-(v - 731)*(v + 1)
Determine h, given that 1479117/2*h**5 + 60921*h**2 + 1462*h + 12 + 2521364*h**4 + 1856421/2*h**3 = 0.
-3, -1/3, -2/79
Let y(p) = -2*p**2 + p - 9. Let r(k) = -5*k**2 + 9*k - 18. Let s(x) = r(x) - 2*y(x). Suppose s(d) = 0. What is d?
0, 7
Suppose 0 = 5*r + 2*v - 16, 5*r - 11*v + 14*v = 19. What is t in -4*t**r - 2 - t**2 - 2 + 6*t + 4 - t**3 = 0?
-6, 0, 1
Suppose 2*m + 13 = 45. Let u be (6/(-4))/((-12)/m). Factor -4*h**3 + 16*h**3 + 88*h + 112*h - 80*h**u - 72 - 44*h.
4*(h - 3)**2*(3*h - 2)
Let m(s) = 36*s**4 + 2913*s**3 - 11163*s**2 + 6495*s - 15. Let y(o) = -9*o**4 - 728*