e second derivative of 31*d**4 + 109*d**3/3 - 10*d**2 - 1308*d. Factor m(z).
2*(3*z + 2)*(62*z - 5)
Let i(g) be the second derivative of g**4/96 + 5*g**3/16 - 27*g**2/8 + 2*g + 1094. Factor i(w).
(w - 3)*(w + 18)/8
Suppose x = v - 2, 16 = -x - x - v. Let n(q) = q**3 + 4*q**2 - 15*q - 14. Let g be n(x). Factor 12*s**3 + 12*s + g*s**2 - 12*s - 8*s**3.
4*s**2*(s + 1)
Let t(r) be the third derivative of 2/9*r**3 + 112*r**2 - 1/90*r**5 + 0*r + 0 - 1/36*r**4. Factor t(v).
-2*(v - 1)*(v + 2)/3
Let t(i) be the third derivative of 0*i + 2/5*i**6 - 3 + 2/3*i**5 + 0*i**4 - 3*i**2 + 3/35*i**7 + 1/168*i**8 + 0*i**3. Factor t(a).
2*a**2*(a + 2)**2*(a + 5)
Let a = 104684 - 732773/7. Factor -a*o**2 - 30/7 - 153/7*o.
-3*(o + 10)*(5*o + 1)/7
Let g(x) be the first derivative of -x**4/3 + 32*x**2 + 87*x - 14. Let y(o) be the first derivative of g(o). Suppose y(b) = 0. Calculate b.
-4, 4
Let b(l) = -6*l**4 - 12*l**3 - 42*l**2 + 8*l + 14. Let z(w) = -w**3 + 2*w**2 - w - 1. Let i = 93 - 94. Let f(k) = i*b(k) - 10*z(k). Factor f(d).
2*(d + 1)**2*(d + 2)*(3*d - 1)
Let n(g) = -24*g**2 - 3*g - 3. Let b be n(2). Let a be b/(-56)*52/65. Factor 0*q - 3/2 + a*q**2.
3*(q - 1)*(q + 1)/2
Let j(x) be the third derivative of 4/9*x**4 + 0*x + 1/180*x**6 + 2 - 4*x**3 + 19/90*x**5 + 129*x**2. Suppose j(s) = 0. What is s?
-18, -2, 1
Find d such that -2592 - 173*d**2 + 375*d**2 + 103*d**2 - 87*d**3 + 469*d**2 - 1728*d + 3*d**4 = 0.
-1, 6, 12
Let g(j) be the second derivative of -j**6/45 - 4*j**5/3 + 19*j**4/2 - 218*j**3/9 + 88*j**2/3 - 4*j + 735. Let g(l) = 0. Calculate l.
-44, 1, 2
Solve -23*w**2 - 14*w + 3*w**2 + 33*w**2 + w**3 = 0 for w.
-14, 0, 1
Let z(o) = 2*o**3 - 8*o**2 - 5*o + 21. Let c be z(4). Let s be (-3)/(210/(-56)) + c + 1. Solve s*a + 2*a**2 + 4/5 = 0 for a.
-1, -2/5
Factor -277*c**3 - 1505/3*c**2 + 1/3*c**5 - 163/3*c**4 - 1174/3*c - 112.
(c - 168)*(c + 1)**3*(c + 2)/3
Let w(k) be the first derivative of k**6/10 - 9*k**5/20 + 3*k**4/4 - k**3/2 + 128*k - 10. Let f(p) be the first derivative of w(p). Factor f(i).
3*i*(i - 1)**3
Let z(g) be the first derivative of -g**7/7980 - g**6/1710 - g**5/1140 + 5*g**3/3 + 3*g**2 - 62. Let x(j) be the third derivative of z(j). Factor x(t).
-2*t*(t + 1)**2/19
Let c be (-6)/(-39) - (-1 + (-22)/26). Factor 47*k + 2 + 4*k**3 - 51*k + 2*k**2 - 6*k**2 + c.
4*(k - 1)**2*(k + 1)
Suppose 2*x = 5*t - 2420, 11*t - 13*t + 968 = 5*x. Suppose -22*m**2 - 1/3*m**3 - t*m - 10648/3 = 0. What is m?
-22
Factor -4*s**2 - 173 + 622 + 781 + 186 - 1412*s.
-4*(s - 1)*(s + 354)
Let b be (-102)/(-10) + 7/140*16. Factor -135 - 16*l + l**3 + 15*l**2 - 18*l - b*l + 4*l**3.
5*(l - 3)*(l + 3)**2
Factor 1/4*b**2 + 25/2*b - 159/4.
(b - 3)*(b + 53)/4
Let y(f) = f**3 - 6*f**2 + 5*f. Let n(d) be the first derivative of -21/2*d**2 + 28 + 25/3*d**3 - d**4 + 0*d. Let g(p) = -4*n(p) - 18*y(p). Solve g(v) = 0.
0, 1, 3
Let q = 4629 - 27773/6. Let y(j) be the third derivative of 0 + 18*j**2 + 0*j - 1/60*j**6 - 1/4*j**4 + 3*j**3 - q*j**5. Factor y(l).
-2*(l - 1)*(l + 3)**2
Let v(a) = 30*a - 717. Let x be v(25). Let u(t) = t**2 - 2. Let n be u(2). Find l, given that 159*l**n + 7*l + 16 + x*l + 4*l**3 + 2*l**3 - 131*l**2 = 0.
-2, -2/3
Let a(z) = -14*z**3 - 97*z**2 - 879*z - 1357. Let w(k) = -12*k**3 - 100*k**2 - 880*k - 1356. Let x(d) = -4*a(d) + 5*w(d). Factor x(v).
-4*(v + 2)*(v + 13)**2
Let s be (-68680)/4675 + 17 + 1/11. Solve 3/5*t**3 - s + 43/5*t - 22/5*t**2 = 0 for t.
1/3, 3, 4
Let f(u) be the first derivative of -u**4/22 + 46*u**3/33 + 76*u**2/11 + 104*u/11 + 2390. Determine m, given that f(m) = 0.
-2, -1, 26
Let w be (2/(-3) - 602/(-129))/1. Let o(j) be the first derivative of -8/3*j - 3/4*j**w + 12 + 10/3*j**2 - 2/3*j**3. Factor o(t).
-(t + 2)*(3*t - 2)**2/3
Let p be -6 + (1 - -25) + 0. Suppose -10 = 6*v - 3*v + 2*t, 0 = 3*v + 4*t + p. Let -4/9 + v*g + 1/9*g**2 = 0. Calculate g.
-2, 2
Let l(q) be the first derivative of -57 + 1/7*q**2 + 2/21*q**3 - 1/14*q**4 + 0*q - 2/35*q**5. Let l(m) = 0. What is m?
-1, 0, 1
Let a(r) be the first derivative of -r**6/27 + 8*r**5/15 + 3*r**4/2 + 28*r**3/27 + 2852. Suppose a(f) = 0. Calculate f.
-1, 0, 14
Let s = -170036/5 - -34215. Let p = 208 - s. Solve -2/5*o**2 + 0*o + p*o**3 + 0 = 0 for o.
0, 2
Let d(b) be the second derivative of b**8/5040 - b**6/1080 - 5*b**3/6 - 11*b**2/2 - 28*b. Let o(v) be the second derivative of d(v). Factor o(h).
h**2*(h - 1)*(h + 1)/3
Let l(b) be the second derivative of 3*b**5/140 + 5*b**4/14 - 11*b**3/14 - 125*b - 4. Find z such that l(z) = 0.
-11, 0, 1
Factor 1308*j**4 + 4*j**5 + 106272*j**3 - 107584*j**2 - 10630*j + 10630*j.
4*j**2*(j - 1)*(j + 164)**2
Factor 30*k + 97*k**3 + 2348*k**2 - 95*k**3 - 2316*k**2.
2*k*(k + 1)*(k + 15)
Solve -4/3*m**2 - 1232 + 380/3*m = 0.
11, 84
Let r(n) be the first derivative of 6*n**6 - 132*n**5 + 553*n**4 - 316*n**3/3 - 524*n**2 - 224*n + 1657. Suppose r(h) = 0. What is h?
-1/3, 1, 4, 14
Let j(u) = 8*u - 7. Let g be j(3). Suppose -g*a - 9 = -20*a. Factor 2/9*p**a - 10/9*p**2 + 0 + 0*p.
2*p**2*(p - 5)/9
Let t be 9 + -9 + 12/33066. Let y = 183698/5511 + t. Factor 4/3*s**3 + 140/3*s + 44/3*s**2 + y.
4*(s + 1)*(s + 5)**2/3
Let f = 43860 + -43858. Let 0 - 9*o**4 + 27/2*o**3 + 0*o**f + 0*o + 3/2*o**5 = 0. Calculate o.
0, 3
Let z(c) = -5*c**3 - 225*c**2 - 30*c + 60. Let a(w) = w**3 + 52*w**2 + 7*w - 14. Let s(l) = 30*a(l) + 7*z(l). Factor s(b).
-5*b**2*(b + 3)
Determine o so that -85 + 2*o**3 - 338*o**2 - 679/2*o = 0.
-1/2, 170
Let g(l) be the first derivative of 4*l**6/3 - 6*l**5 + 21*l**4/2 - 26*l**3/3 + 3*l**2 - 2087. Determine c so that g(c) = 0.
0, 3/4, 1
Let u be -6 + (17 - 6) + -3. Let q = -9 + 11. Factor -15*b**2 - q*b**2 - 3*b**3 - 8*b - 11*b**2 + 3*b**u.
-b*(b + 8)*(3*b + 1)
Let s(j) = 23*j - 158. Let y be s(7). Solve -109*p**3 - 108*p**y + 329*p**3 - 107*p**3 - 200*p + 90*p**2 = 0 for p.
-20, 0, 2
Let f(j) = -j**3 - 192*j**2 + 376*j - 3. Let t(q) = -5*q**3 - 1152*q**2 + 2256*q - 17. Let h(w) = 34*f(w) - 6*t(w). Factor h(r).
-4*r*(r - 94)*(r - 2)
Let n(a) be the second derivative of -a**5/80 - 335*a**4/48 - 28223*a**3/24 - 27889*a**2/8 + 448*a. Determine i, given that n(i) = 0.
-167, -1
Let -6/11*x**4 - 34104/11*x - 17100/11*x**2 - 2064 - 2874/11*x**3 = 0. What is x?
-473, -2
Let g be (-19025)/(-6849) + (-4)/(-18). Factor 0 + 2/7*w**g - 6/7*w + 4/7*w**2.
2*w*(w - 1)*(w + 3)/7
Let j be 2/((-30)/(-93)) - 3/15. Suppose s - 20 = -x - 4*s, 3*x - j = 3*s. Factor -x*c + 0*c**2 - c + 4*c + c**2 - 3.
(c - 3)*(c + 1)
Let l be ((-253)/2 - 9)*-4. Solve -l*b**2 + 530*b**2 - 16 + 56*b + 4 - 80*b**3 = 0 for b.
-1, 1/4, 3/5
Let q(c) be the second derivative of c**5/25 + 23*c**4/15 + 44*c**3/15 - 38*c + 50. Factor q(g).
4*g*(g + 1)*(g + 22)/5
Find m such that -48/11*m + 288/11 + 2/11*m**2 = 0.
12
Let c be 64/176 - -38*(-18)/1881. Determine y so that -1/2*y**3 + c*y - 10*y**2 + 0 = 0.
-20, 0
Find j such that -330*j**3 - 6*j**4 - 20*j + 796*j**3 - 2*j**5 - 444*j**3 + 6*j**2 = 0.
-5, -1, 0, 1, 2
Let p = -659349 + 146375173/222. Let w = -3/74 - p. What is i in -2/3*i - 2*i**2 + w = 0?
-1, 2/3
Let s(u) = -120*u**4 + 550*u**3 - 2110*u**2 + 3080*u - 1695. Let m(c) = -11*c**4 + 50*c**3 - 192*c**2 + 280*c - 154. Let y(i) = -65*m(i) + 6*s(i). Factor y(w).
-5*(w - 4)*(w - 2)**3
Factor -2/3*t**2 + 22/3*t + 304/3.
-2*(t - 19)*(t + 8)/3
Let q(c) = -c**3 + 13*c**2 - 14*c + 21. Let j be q(11). Let a = j + -108. Let 8*m + 7 - a + 4*m + 4*m**2 + 2 = 0. What is m?
-2, -1
Let s(z) be the third derivative of z**6/20 + 7*z**5/30 - 10*z**4/3 + 6*z**2 + 75. Solve s(h) = 0.
-5, 0, 8/3
Let u(z) be the third derivative of -4*z**2 - 5 + 1/70*z**7 + 1/784*z**8 - 2/7*z**4 - 19/140*z**5 + 10/7*z**3 + 1/40*z**6 + 0*z. Suppose u(a) = 0. Calculate a.
-5, -2, 1
What is w in -136/11*w**2 + 168/11 + 204/11*w**3 - 2/11*w**5 - 202/11*w - 32/11*w**4 = 0?
-21, -1, 1, 4
Let j be 0 - (-2 - (-3)/3). Suppose -4*x - 1627 + 1635 = 0. Let t(l) = 4*l**2 - 22*l + 72. Let m(f) = -f**2 - f. Let i(u) = j*t(u) + x*m(u). Solve i(k) = 0.
6
Let p(y) be the first derivative of -5*y**3/3 + 355*y**2/2 - 690*y - 2267. Factor p(d).
-5*(d - 69)*(d - 2)
Let a(h) = h**2 + 5*h - 2. Let w(x) = -4*x**2 - 5*x - 18. Let s(z) = 6*a(z) + 2*w(z). Determine d, given that s(d) = 0.
4, 6
Let g(j) be the second derivative of -j**4/30 - 111*j**3/5 + 334*j**