tive of 3/10*p**2 - 1/5*p**3 - 7/20*p**4 + 2/5*p - 160 - 3/25*p**5. Suppose k(d) = 0. Calculate d.
-1, 2/3
Let x(r) = 28*r**2 + 111*r - 4. Suppose -p - 36 + 17 = 5*u, 5*u + 31 = -4*p. Let l be x(p). Factor -1/2*j**4 + l*j + 0 + 5/2*j**2 + 2*j**3.
-j**2*(j - 5)*(j + 1)/2
Suppose -1483*g = -1476*g + 84. Let q(d) = 46*d + 552. Let k be q(g). Factor 0*x + 9/4*x**3 + 9/4*x**4 + 3/4*x**2 + 3/4*x**5 + k.
3*x**2*(x + 1)**3/4
Let t(g) be the second derivative of 0 - 1/240*g**5 - 8*g + 0*g**3 + 12*g**2 - 1/96*g**4. Let w(k) be the first derivative of t(k). Factor w(s).
-s*(s + 1)/4
Let w(s) be the second derivative of s**6/10 - 11*s**4/4 + 9*s**3 - 12*s**2 + 1209*s. Solve w(b) = 0 for b.
-4, 1, 2
Let t = -227 + 230. Factor 6*w**3 - t*w**3 - 5*w**2 - 4*w**3 - 4*w**3.
-5*w**2*(w + 1)
Let r be (-20)/42*(-105732)/9790. Solve 52/7*y**4 + 0 + 20/7*y**5 - 4/7*y**2 - 8/7*y + r*y**3 = 0 for y.
-1, 0, 2/5
Let r(d) be the second derivative of -5/2*d**7 - 2 + 211/6*d**6 - 519/4*d**5 + 300*d**3 + 250*d**2 - 655/12*d**4 + 47*d. Determine i, given that r(i) = 0.
-2/3, -2/7, 1, 5
Factor -5*q**4 + 7*q + 9*q + 115*q**3 + 35*q - 215*q**2 + 54*q.
-5*q*(q - 21)*(q - 1)**2
Solve 1476 + 1296*f**2 - 625*f**2 - 673*f**2 + 486*f = 0 for f.
-3, 246
Let x(v) = v**3 - v**2 + v + 1. Let d(a) = 2*a**3 + 3*a**2 - 6*a - 9. Let m(u) = -d(u) + x(u). Suppose m(k) = 0. Calculate k.
-5, -1, 2
Suppose -5*d + 3 = -8*d. Let q(a) = -16*a**2 - 24*a + 1. Let c be q(d). Let -c*y + 6/5*y**2 + 3/5*y**5 + 42/5*y**3 - 27/5 + 21/5*y**4 = 0. What is y?
-3, -1, 1
Let b(d) be the second derivative of -d**6/200 + d**5/300 + d**4/10 - 2*d**3/15 - 34*d**2 - d + 45. Let n(f) be the first derivative of b(f). Factor n(r).
-(r - 2)*(r + 2)*(3*r - 1)/5
Determine a so that -2/3*a**2 - 19/3*a + 1/3*a**3 + 20/3 = 0.
-4, 1, 5
Suppose 27862 - 28410 = -274*q. Let u be (4/(-6))/(2/(-18)). Factor u*s + 12 + 3/4*s**q.
3*(s + 4)**2/4
Suppose -2682*v + 1262*v + 1351*v + 138 = 0. Find y such that 4/7*y**3 + 16/7 + 36/7*y + 24/7*y**v = 0.
-4, -1
Let g(n) be the third derivative of -n**11/166320 - n**10/75600 - 51*n**5/10 + 5*n**2 + n. Let u(i) be the third derivative of g(i). Factor u(o).
-2*o**4*(o + 1)
Suppose -37 = -3*u - 55. Let y be 14/u - 368/(-69). Factor 0*t**2 + 0 - 3/5*t**y + 3/5*t.
-3*t*(t - 1)*(t + 1)/5
Let k(u) be the second derivative of -u**6/468 + 8*u**5/195 - u**4/13 - 5*u**3/2 + 3*u**2/2 + 151*u. Let z(c) be the second derivative of k(c). Factor z(r).
-2*(r - 6)*(5*r - 2)/13
Solve 147/2*c**2 + 570*c - 3/2*c**3 + 1008 = 0 for c.
-4, -3, 56
Let d = 420169 + -1680675/4. Factor -d*w**2 - 1/2 + 3/4*w.
-(w - 2)*(w - 1)/4
Suppose -458*k = -459*k - 4*w - 38, 3*k + 4*w + 34 = 0. Factor 14/9*d**k - 8/9 - 8/3*d.
2*(d - 2)*(7*d + 2)/9
Let y(w) be the third derivative of w**6/60 + 3*w**5/10 + 5*w**4/3 + 4*w**3 - 5577*w**2. Factor y(i).
2*(i + 1)*(i + 2)*(i + 6)
Let j be 32/40 + 2*(-81)/240. Factor 1/4 - j*h**2 - 1/8*h.
-(h - 1)*(h + 2)/8
Let k(v) be the third derivative of v**6/60 + 91*v**5/30 + 88*v**4/3 + 116*v**3 - 581*v**2 - v. Factor k(b).
2*(b + 2)**2*(b + 87)
Factor 241*g**2 + 181*g**2 + 137*g**2 + 726 - 75*g**3 + 157*g**2 - 849*g**2 - 9*g**4 + 275*g.
-(g - 2)*(g + 3)*(3*g + 11)**2
Let f = -141 - -152. Let 4*l**4 + l**4 + 4*l**3 + f*l**3 - 5*l**3 - 5 + l - 11*l = 0. What is l?
-1, 1
Let k be 1/((10/(-35))/(12/(-14))). Solve -2*r + r**k + 13*r**4 + 15*r**5 - r**2 + 8*r**3 - 22*r**5 - 12*r**2 = 0 for r.
-1, -1/7, 0, 1, 2
Let r be (-72)/(-9) - (-225)/15 - 21. Solve 1/3*u**4 - 1/3*u**3 + 4/3*u + 0 - 4/3*u**r = 0.
-2, 0, 1, 2
Let g(l) be the second derivative of l**6/120 + l**5/8 - 25*l**4/16 - 125*l**3/6 + 625*l**2/2 - 4332*l. Factor g(i).
(i - 5)**2*(i + 10)**2/4
Let t be ((-48)/20)/(-3 + (-27)/(-15)). What is x in 2/5*x**5 - 64/5*x**t + 0 + 64/5*x**3 - 4*x**4 + 0*x = 0?
0, 2, 4
Let g(l) be the first derivative of -l**6/200 - 7*l**5/60 + 2*l**4/15 - 74*l**3/3 + 78. Let a(f) be the third derivative of g(f). Factor a(j).
-(j + 8)*(9*j - 2)/5
Suppose -27*z + 55*z + 256 = 156*z. What is o in 0*o**3 + 1/3*o**z - 1/3*o**4 + 0*o + 0 = 0?
-1, 0, 1
Suppose 11*v + 39 - 83 = 0. Factor 16*g - v*g**3 + 12*g + 15956 - 15980.
-4*(g - 2)*(g - 1)*(g + 3)
Let h = -833/8 + 845/8. Let d(m) be the first derivative of 3/16*m**4 - 29/12*m**3 + 5/4*m**5 + 23 - h*m**2 + m + 3/8*m**6. Solve d(w) = 0.
-2, -1, 2/9, 1
Suppose -3*i + 4530 = 2*c, 3*c - 8237 = -4*i - 1441. Let q = c + -2266. Determine u so that 0 + 7/3*u**3 - 4*u - 1/3*u**4 - 4/3*u**q = 0.
-1, 0, 2, 6
Let -62723*y + 5*y**3 + 1320*y**2 + 3505114 - 97754 + 178883*y = 0. What is y?
-88
Let l(s) be the third derivative of -3*s**5/10 + 83*s**4/12 - 6*s**3 - 7*s**2 + 40*s. Factor l(w).
-2*(w - 9)*(9*w - 2)
Let s = 59 - 53. Suppose 50 = s*i + 4*i. Factor d**2 + 3*d**4 + 3*d**i + d**2 - 4*d**5 - 4*d**2 - 2*d**3 + 3*d - 1.
-(d - 1)**4*(d + 1)
Determine a so that -90 + 76/15*a**3 - 54*a + 12/5*a**2 - 2/15*a**5 + 2/15*a**4 = 0.
-3, 5
Let o(s) = 3609*s + 72180. Let p be o(-20). Factor -3*w**4 + 1/3*w**5 + 10*w**3 + p + 8*w - 44/3*w**2.
w*(w - 3)*(w - 2)**3/3
Let w be (22*(-868)/2046)/((-96)/18). Let x be 1 + 4/(16/(-3)). Solve -x*d**3 + 0*d - 3/4*d**4 - 1 + w*d**2 + 1/4*d**5 = 0 for d.
-1, 1, 2
Let w(j) be the third derivative of -j**7/6300 - j**6/1800 + j**4/3 - j**3/3 + 59*j**2. Let s(a) be the second derivative of w(a). Factor s(x).
-2*x*(x + 1)/5
Suppose i = 4*f + 25, 5*i - 35 = -37*f + 39*f. Let o be (-222)/(-30) - (7 - (i - 4)). Factor -o*n + 8/5 - 1/5*n**2.
-(n - 1)*(n + 8)/5
Let y(j) be the first derivative of -9*j - 9/2*j**2 + 1/4*j**4 + 1/3*j**3 - 100. Factor y(o).
(o - 3)*(o + 1)*(o + 3)
Let j(v) be the first derivative of -66 + 14*v**2 - 16*v - 10/3*v**3. Factor j(w).
-2*(w - 2)*(5*w - 4)
Suppose 44 + 68 = 44*o + 24. Solve 3/4*h**5 - 3*h - 15/4*h**4 + 9/4*h**3 + 15/4*h**o + 0 = 0.
-1, 0, 1, 4
Let c be (((-1)/21)/1)/(1653/1102 + (-22)/12). Solve c*f**2 + 10/7*f + 0 = 0 for f.
-10, 0
Let s(w) be the first derivative of w**4/5 - 632*w**3/15 + 11826*w**2/5 + 104976*w/5 - 1143. Determine h so that s(h) = 0.
-4, 81
Let r(q) be the first derivative of 2/7*q**2 + 10 - 2/21*q**3 + 0*q. Determine m so that r(m) = 0.
0, 2
Let g(u) = u**5 - u**3 - 4*u**2 + 4. Let k(r) be the second derivative of r**6/30 + r**5/20 - r**3/6 - r**2/2 - 2*r - 18. Let i(s) = g(s) + 4*k(s). Factor i(q).
q*(q - 1)*(q + 1)*(q + 2)**2
Suppose x = 3*g + 35, 803*x - 4*g = 792*x + 95. Factor x - 5/4*j**3 - 5*j**2 + 5/4*j.
-5*(j - 1)*(j + 1)*(j + 4)/4
Let m(b) = 50*b**2 - 14*b - 16. Let j be m(-1). Suppose 0 = 6*y + 30 - j. Determine a so that -6/5 + 1/5*a + 1/5*a**y + 4/5*a**2 = 0.
-3, -2, 1
Find w such that 44/3 + 2/9*w**2 - 134/9*w = 0.
1, 66
Solve -3/7*u**4 - 27/7*u + 1/7*u**5 - 22/7*u**3 + 90/7*u**2 - 135/7 = 0 for u.
-5, -1, 3
Let o(j) be the first derivative of j**5/150 + j**4/15 - j**3/3 - 137*j**2/2 - 69. Let i(n) be the second derivative of o(n). Determine a so that i(a) = 0.
-5, 1
Suppose 4*q - 3*j - 1350 = 1090, 4*j - 1855 = -3*q. Factor 2*r**2 - q + 1364 + 931 + 116*r.
2*(r + 29)**2
Let l(o) be the first derivative of 19*o**4/12 + o**3/3 + 109*o - 83. Let d(z) be the first derivative of l(z). Factor d(y).
y*(19*y + 2)
Let b = 300782/112803 - -26/112803. Let 0*a + 2/3*a**5 - b*a**2 + 0 - 4/3*a**4 - 14/3*a**3 = 0. Calculate a.
-1, 0, 4
Let a(p) be the third derivative of -p**7/105 - 99*p**6/20 + 299*p**5/15 - 642*p**2 - 2. Factor a(r).
-2*r**2*(r - 2)*(r + 299)
Let -176/5*p - 2/5*p**2 - 3872/5 = 0. What is p?
-44
Let -2/17*m**4 - 11960/17*m - 33800/17 - 92/17*m**3 - 1578/17*m**2 = 0. Calculate m.
-13, -10
Let u(t) = -2*t**3 + 70*t**2 + 2*t - 80. Let f(b) = -2. Let h(v) = 5*f(v) - u(v). What is l in h(l) = 0?
-1, 1, 35
Let z(f) = 2*f**3 - 3*f**2 + f - 1. Let o be z(2). Suppose 0 = -t - o + 7. Factor 5*l**t - 3 + 0 + 35*l + 3.
5*l*(l + 7)
Let b = 88 - 63. Suppose -k - b*k = -78. Determine d, given that -2/13*d**k + 4/13 + 10/13*d + 6/13*d**2 - 2/13*d**4 = 0.
-1, 2
Suppose 4*o**4 + 72/7*o**3 + 68/7*o**2 + 0 + 2/7*o**5 + 22/7*o = 0. What is o?
-11, -1, 0
Let h(j) = 5*j**3 - 35*j**2 + 73*j - 37. Let s(r) = 10*r**3 - 70*r**2 + 145*r - 75. Let u = 49 + -52. Let m(z) = u*s(z) + 5*h(z). Solve m(d) = 0.
1, 2, 4
Suppose -5 + 9 - 4 = 3409*v. Factor 16/9*u**3 + 2/9*u**4 + 10/3*u**2 + v + 0*u.
2*u**2*(u + 3)*(u + 5)/9
Le