tive of r**6/3420 + 3*r**5/190 - 37*r**3/6 + 90*r. Let g(t) be the second derivative of z(t). Factor g(s).
2*s*(s + 18)/19
Factor 3/5*l**3 - 51/5*l - 27/5 - 21/5*l**2.
3*(l - 9)*(l + 1)**2/5
Suppose -840*u**3 + 1313*u**2 - 4*u**4 - 25*u**2 + 1476*u**3 = 0. What is u?
-2, 0, 161
Factor -z**2 - 11/6*z - 1/6*z**3 - 1.
-(z + 1)*(z + 2)*(z + 3)/6
Let h(i) be the second derivative of -i**5/40 + i**4/6 - i**3/3 - 5*i - 65. Factor h(q).
-q*(q - 2)**2/2
Let o(m) be the first derivative of m**6 - 51*m**5/5 - 108*m**4 - 148*m**3 + 168*m**2 + 1512. Determine w, given that o(w) = 0.
-4, -2, 0, 1/2, 14
What is y in 160*y**2 + 955*y - 999*y**3 + 477*y**3 - 1110 + 517*y**3 = 0?
-6, 1, 37
Suppose -204 = -60*w - 8*w. Let h(b) be the third derivative of 20*b**2 + 0*b + 0 + 2/9*b**w + 2/45*b**5 + 5/36*b**4 + 1/180*b**6. Factor h(c).
2*(c + 1)**2*(c + 2)/3
Find p, given that 15758 - 141312*p + 140*p**4 - 11454 + 1508 + 152096*p**2 - 9096*p**3 + 11983 + 14973 = 0.
2/5, 4/7, 32
Factor 870*y**3 - 130*y - 865*y**3 + 102*y + 34*y**2 - 10 + 71*y.
(y + 2)*(y + 5)*(5*y - 1)
Let h(x) be the second derivative of 0 + 1/30*x**4 - 2/15*x**3 + 0*x**2 + 9*x + 3/50*x**5. What is b in h(b) = 0?
-1, 0, 2/3
Solve -2/5*x**2 + 132/5 - 263/5*x = 0.
-132, 1/2
Determine f so that -5*f**3 + 5832 - 1598*f + 0*f**3 - 4*f**3 + 54*f**2 + 8*f**3 + 626*f = 0.
18
Let g(t) = -23*t**2 + 16*t - 32. Let p(a) = 4*a**2 - 3*a + 5. Let o(q) = -6*g(q) - 39*p(q). Find v such that o(v) = 0.
1/6, 1
Suppose 15 = -0*i + 3*i. Suppose -i*p = -k - 0 + 7, 5*p - 5 = -5*k. Find u such that 8*u**3 + 29 - 12*u**k - 32*u + 11 + 8 = 0.
-2, 3/2, 2
Let f = 2193/1300 + -109/65. Let o(s) be the second derivative of 1/150*s**6 + 0 - 1/60*s**4 - f*s**5 + 1/210*s**7 + 19*s + 0*s**3 + 0*s**2. Factor o(n).
n**2*(n - 1)*(n + 1)**2/5
Let 2879*d - 326*d**2 + 753*d + 330*d**2 = 0. What is d?
-908, 0
Let o(r) be the third derivative of r**6/100 - 52*r**5/75 - 1195*r**2. Factor o(d).
2*d**2*(3*d - 104)/5
Let s(d) = -3*d - 4. Let c(x) = -5*x**2 - 5598*x - 1573589. Let p(a) = -c(a) - 4*s(a). Factor p(z).
5*(z + 561)**2
Let s(j) be the second derivative of -j**7/1575 - j**6/45 + 43*j**5/450 - 11*j**4/90 - 12*j**2 + 167*j. Let t(z) be the first derivative of s(z). Factor t(w).
-2*w*(w - 1)**2*(w + 22)/15
Suppose -a = -g + 11, -2*g - 4*a - 8 = -0*a. Factor -6*c + 2*c**3 - g + 6*c**2 + 6*c - 5*c + 3*c.
2*(c - 1)*(c + 1)*(c + 3)
Let n(b) be the third derivative of -b**5/150 - 23*b**4/20 + 14*b**3/3 - 445*b**2 - 2. Factor n(t).
-2*(t - 1)*(t + 70)/5
Let z(q) = -114*q**2 + 124*q + 2. Suppose -4*v + 5*s - 11 = -5*v, -5*v = s - 7. Let r(u) = 2*u**3 + u**2 + 2*u + 1. Let l(j) = v*z(j) - 2*r(j). Factor l(d).
-4*d*(d - 1)*(d + 30)
Let -29/3*s**2 - 2665/3*s + 89093/3 + 1/3*s**3 = 0. Calculate s.
-53, 41
Let s(i) be the second derivative of i**5/35 + 20*i**4/7 + 600*i**3/7 + 79*i + 11. Solve s(m) = 0 for m.
-30, 0
Factor 45*g**2 - 39/4*g**3 - 3/4*g**5 - 27*g - 15/2*g**4 + 0.
-3*g*(g - 1)**2*(g + 6)**2/4
What is s in -4/7*s**3 + 92/7*s**2 + 0 - 480/7*s = 0?
0, 8, 15
Let t = 12318 - 12318. Let x(o) be the third derivative of 9*o**2 - 1/60*o**6 + t*o**3 + 0 + 0*o - 1/3*o**4 + 2/15*o**5. Factor x(c).
-2*c*(c - 2)**2
Suppose -502*k**3 - 12*k**3 + 71*k**4 - 73*k**4 = 0. What is k?
-257, 0
Let n = -122/101 + 2861/1616. Let m(v) be the first derivative of 3/4*v + 0*v**3 - 27 + n*v**2 - 3/32*v**4. Find k, given that m(k) = 0.
-1, 2
Let i be ((-10 + -2)/(-6))/(-2) + 3. Suppose -10*w + i*w + 4*w = 0. Factor 4/7*n**3 + 2/7*n**4 + w + 0*n**2 + 0*n.
2*n**3*(n + 2)/7
Let n(b) be the first derivative of -3/4*b**4 - b**2 + 9*b - 13 + 11/6*b**3. Let f(k) be the first derivative of n(k). Factor f(t).
-(t - 1)*(9*t - 2)
Let j(s) = -s**3 - 2*s**2 + 21*s + 68. Let o be j(-3). Suppose -25*z + 36 = -o. Solve -22/7*h**z + 0 - 2*h**4 + 4/7*h + 32/7*h**3 = 0.
0, 2/7, 1
Let w(p) be the first derivative of -5/3*p**3 - 8 - 5*p**2 - 5*p. Factor w(m).
-5*(m + 1)**2
Suppose -5*u - 4*m = -m - 449, -6 = -2*m. Let o be -4 - u/(-20)*1. Find d, given that -o*d**2 + 8/5 + 0*d = 0.
-2, 2
Solve -344/3*r**2 - 346/3*r + 2/3*r**3 + 0 = 0.
-1, 0, 173
Let l(j) = -j**3 - 3*j**2 + j + 1. Let g(q) = 6*q**4 - 117*q**3 + 372*q**2 - 162*q + 6. Let z(v) = g(v) - 6*l(v). Find r such that z(r) = 0.
0, 1/2, 4, 14
Let u = -58/209 - -325/418. What is w in -2 + 5/6*w + u*w**2 = 0?
-3, 4/3
Let g(x) be the first derivative of x**5/20 + 7*x**4/2 + 419*x**3/6 + 189*x**2 + 729*x/4 - 963. Factor g(m).
(m + 1)**2*(m + 27)**2/4
Suppose 6*u - 7*u + 34 = 0. Let -74*n + 4*n**2 + 10 + 72*n - 50 - u*n = 0. Calculate n.
-1, 10
Let j(h) = -19*h**2 - 90*h - 66. Let r(m) = 72*m**2 + 360*m + 269. Let n(v) = -19*j(v) - 5*r(v). Factor n(l).
(l - 91)*(l + 1)
Let d(w) be the first derivative of -w**3 + 213*w**2/2 + 797. Suppose d(x) = 0. Calculate x.
0, 71
Solve -790*j - 20 + 1454*j - 1694*j**2 - 97711*j**2 + 1438*j + 718*j = 0 for j.
2/141
Let w(g) be the first derivative of 3*g**4/4 + 581*g**3 - 3*g**2/2 - 1743*g - 10396. Solve w(i) = 0 for i.
-581, -1, 1
Let j be 50/21 - 4/6. Let g be (8/(-10))/((-10)/50) - (7 - -5 - 8). Factor -j*d + g - 3/7*d**2.
-3*d*(d + 4)/7
Let v = -299416/3 + 99816. What is x in -v - 76/3*x + 4/3*x**3 - 22/3*x**2 = 0?
-2, -1/2, 8
Let v(z) be the first derivative of -2*z - 1/9*z**3 - 143 + 7/6*z**2. Factor v(x).
-(x - 6)*(x - 1)/3
Suppose 2*n = -3*f + 8 - 4, 3*n = 5*f - 13. Let g be ((-29)/(-10) - 2)*f. Factor 3/5*w**2 - 12/5*w + g.
3*(w - 3)*(w - 1)/5
Let n(v) be the second derivative of v**8/26880 + v**7/3360 - v**6/720 - 23*v**4/12 + 6*v + 6. Let a(k) be the third derivative of n(k). Factor a(z).
z*(z - 1)*(z + 4)/4
Let u = -19/116 - -6787/40020. Let g = 41/69 + u. Factor 6/5*f - 3/5*f**3 + g*f**2 + 0.
-3*f*(f - 2)*(f + 1)/5
Determine c so that -631*c - 398161 - 1/4*c**2 = 0.
-1262
Determine b, given that -5776 + 2*b**3 + 160*b + 179*b - 426*b + 201*b + 60*b**2 = 0.
-19, 8
Let n(h) be the second derivative of h**5/10 - 5*h**4/3 - 27*h**3 + 90*h**2 + 3402*h - 1. Factor n(r).
2*(r - 15)*(r - 1)*(r + 6)
Let d(v) = 3*v**3 - 16*v**2 - 11*v + 10. Let a(t) = 50*t**3 - 280*t**2 - 185*t + 170. Let w(m) = -2*a(m) + 35*d(m). Determine y so that w(y) = 0.
-2, 1
Determine a, given that -a**2 - 235445 - 18733*a + 20903*a - 4*a**2 = 0.
217
Suppose -15*q = 141*q - 312. Let l(y) be the third derivative of 1/18*y**4 + 8*y**q + 0*y - 2/3*y**3 - 1/540*y**5 + 0. Factor l(w).
-(w - 6)**2/9
Let z be 2 - -18 - (7 + -5). Suppose 9*m**2 - z*m - 2*m**2 - 3*m**2 + 44 - 6*m**2 = 0. Calculate m.
-11, 2
Let b = 24483/10 + -171341/70. Find q, given that 1/7*q**2 - 4/7*q + b = 0.
2
Suppose -83*m - 17*m - 496 = -348*m. Let c be (-4)/6 - (-8)/10. Determine i, given that -c*i**m - 2/15*i + 0 = 0.
-1, 0
Let q(s) be the third derivative of -52*s**5/15 - 67*s**4/6 - 10*s**3 + 7*s**2 - 23*s. Find t, given that q(t) = 0.
-1, -15/52
Let s(k) be the first derivative of k**6/54 - 8*k**5/45 + 4*k**4/9 + 2*k**3/3 - 9*k**2/2 + 6*k - 230. Suppose s(h) = 0. Calculate h.
-2, 1, 3
Let s(t) be the first derivative of 4/7*t**4 - 2/35*t**5 - 37 + 38/21*t**3 + 0*t + 10/7*t**2. Factor s(u).
-2*u*(u - 10)*(u + 1)**2/7
Suppose k = 5135*m - 5130*m + 128, -k + 153 = -6*m. Let u be (-4)/(-18) - (-1 + 1). Factor 224/9*a**2 + u*a**5 + 40/3*a**k + 26/9*a**4 + 128/9*a + 0.
2*a*(a + 1)*(a + 4)**3/9
Suppose 0 = -3*i - 18 + 27. Let n(j) be the first derivative of 1/11*j**2 + 8/33*j**i - 1/22*j**4 - 17 - 8/11*j. Suppose n(a) = 0. What is a?
-1, 1, 4
Suppose 4*s = 2*s - 2*u + 30, s - 13 = -3*u. Suppose 0*r - 5*m + 24 = r, 2*m - s = -2*r. Solve 0 + 8*z**2 - z**3 + r*z - 9*z - 42 - 8 = 0 for z.
-2, 5
Let z = -43537 - -43539. Find l such that 2/3 - 1/9*l - 1/9*l**z = 0.
-3, 2
Let z(w) = -794*w - 9526. Let b be z(-12). Factor c**b - 1 - 1/2*c + 1/2*c**3.
(c - 1)*(c + 1)*(c + 2)/2
Let n(b) be the first derivative of b**4/21 - 8*b**3/21 + 8*b**2/7 - 97*b + 72. Let t(o) be the first derivative of n(o). Find q such that t(q) = 0.
2
Let z(i) = 7*i**2 - 166*i - 45. Let n be z(24). Let p(v) be the third derivative of 0*v**n + 0 + 1/3*v**4 + 1/15*v**5 + 18*v**2 + 0*v. Solve p(l) = 0.
-2, 0
Let i = 79702 - 79700. Find x such that -4/3 + 5/3*x - 2/3*x**3 + 1/2*x**i - 1/6*x**4 = 0.
-4, -2, 1
Let s(d) = -48*d**3 - 134*d**2 + 58*d - 8. Let z(c) = 48*c**3 + 136*c**2 - 45*c + 6. Let