42. Let u(t) = -t**3 + t**2 + t - 2. Let r(f) = -76*u(f) - 2*x(f). Factor r(b).
-4*(b - 11)*(b - 3)*(b + 1)
Let h(z) be the second derivative of -1/20*z**5 + 0*z**3 + 39/2*z**2 - 1/480*z**6 + 0 - 31*z - 3/8*z**4. Let q(b) be the first derivative of h(b). Factor q(x).
-x*(x + 6)**2/4
Let k(b) be the first derivative of 22 + 0*b + 0*b**2 + 8/15*b**5 + 1/9*b**6 - 7/2*b**4 + 0*b**3. Factor k(z).
2*z**3*(z - 3)*(z + 7)/3
Let p = -12862/25 + 12927/25. Solve -1/5*c**2 + p*c - 22/5 = 0 for c.
2, 11
Solve 300/11 - 59/11*g**2 - 16/11*g**3 - 1/11*g**4 + 40/11*g = 0.
-10, -5, -3, 2
Let l(v) be the second derivative of -144/5*v**2 + 3/10*v**5 + 34/15*v**4 + 0 + 4*v**3 + 1/75*v**6 - 196*v. Let l(w) = 0. Calculate w.
-6, -4, 1
Factor 1443/2*u**2 + 9/4*u**3 + 58080*u + 38400.
3*(u + 160)**2*(3*u + 2)/4
Let j(b) be the third derivative of 1/12*b**6 + 0*b**4 - 1/15*b**5 + 0*b**3 + 1/168*b**8 + 0*b - 4/105*b**7 - 56*b**2 + 0. Let j(y) = 0. What is y?
0, 1, 2
Let y(z) = -z**2 - 5*z + 214. Let c be y(-19). Let j be (6*14/c)/(66/(-44)). Determine m, given that -j*m**3 - 30/13*m**2 - 2/13*m**4 - 2*m - 8/13 = 0.
-4, -1
Let n(g) = 9*g**3 - 39*g**2 - 303*g - 250. Let d(b) = -13*b**3 + 61*b**2 + 455*b + 374. Let v(w) = 5*d(w) + 7*n(w). Let v(x) = 0. Calculate x.
-3, -1, 20
Suppose 8*m = 2*s + 6*m - 6, 2*s - m = 6. Suppose 12*n**3 - 15*n + s*n**2 - 2*n**4 + 9 - n**4 - 9*n**2 + 3*n = 0. Calculate n.
-1, 1, 3
Let q(d) = d**3 + 3*d**2 - 157*d - 933. Let p be q(-8). Solve 16/7*o - 72/7*o**2 + 0 + 12*o**p + 2/7*o**4 - 30/7*o**5 = 0.
-2, 0, 2/5, 2/3, 1
Let i(a) = 8*a**2 + 44*a - 24. Let c(h) = -16*h**2 - 88*h + 48. Let s = 29 + -39. Let p be (4/2)/(0 - 4/s). Let f(o) = p*i(o) + 3*c(o). Factor f(v).
-4*(v + 6)*(2*v - 1)
Let -245*i**2 - 60*i**3 + 41*i**2 + 620*i - 812*i - 3*i**4 = 0. What is i?
-16, -2, 0
Suppose 18*d + t - 22 = 15*d, 23 = -d + 4*t. Let r(j) be the third derivative of 0*j**3 + 0 + 0*j + 1/32*j**4 - 24*j**2 + 1/240*j**d. Factor r(v).
v*(v + 3)/4
Suppose -s - 5*b = -80, 224 = -0*s + 3*s - b. Let x be 0 + 1*-2*(-25)/s. What is d in -x*d**4 + 0*d + 0 + 0*d**2 - 1/6*d**5 - 2/3*d**3 = 0?
-2, 0
Let c = 328266 + -2954386/9. Find d such that -c - 1226/9*d**2 - 348*d**3 + 24*d - 1682/9*d**4 = 0.
-1, 2/29
Let g(o) be the first derivative of o**6/90 - 14*o**5/45 + 25*o**4/18 - 8*o**3/3 + 4*o**2 - 4*o + 151. Let b(n) be the second derivative of g(n). Factor b(p).
4*(p - 12)*(p - 1)**2/3
Factor 1/8*i**2 + 61/4 - 63/8*i.
(i - 61)*(i - 2)/8
Let j(r) = 111*r - 5 + 123*r - 2 + 104*r - 351*r + 6*r**2. Let p = 7 + 0. Let q(f) = -5*f**2 + 11*f + 6. Let w(a) = p*q(a) + 6*j(a). Factor w(g).
g*(g - 1)
Let g(n) be the first derivative of 98 + 5*n**2 - 1/2*n**4 + 12*n - 4/3*n**3. Factor g(r).
-2*(r - 2)*(r + 1)*(r + 3)
Let u = -213 - -233. Let o(g) = 2*g**2 - 216*g - 215. Let h(d) = -15*d**2 + 1510*d + 1505. Let q(k) = u*o(k) + 3*h(k). Determine p so that q(p) = 0.
-1, 43
Determine r, given that -842/7*r - 30 - 8/7*r**2 = 0.
-105, -1/4
Let t be 2 - ((-1)/((-6)/(-534)) - -1). Let y = t - 444/5. Factor 0*c + y*c**2 - 8/5 + 2/5*c**3.
2*(c - 1)*(c + 2)**2/5
Let g(q) be the first derivative of q**7/210 + 7*q**6/120 - 7*q**5/15 + 5*q**4/6 + 5*q**2 + 14*q + 66. Let k(x) be the second derivative of g(x). Factor k(c).
c*(c - 2)*(c - 1)*(c + 10)
Let x(y) be the third derivative of -y**7/350 + 247*y**6/100 - 61989*y**5/100 + 12103*y**4/2 - 24010*y**3 + 1580*y**2. Suppose x(s) = 0. What is s?
2, 245
Let k = -34630 - -34632. Factor 1/2*r**4 + 0 + k*r**2 + 2*r**3 + 0*r.
r**2*(r + 2)**2/2
Let f(m) be the first derivative of -4*m**3/15 + 198*m**2/5 + 1224*m/5 + 836. Factor f(d).
-4*(d - 102)*(d + 3)/5
Suppose -1 = 7*j - 22. Factor 3*q**2 + 3*q**2 + 10*q**2 - 13*q**2 + j*q.
3*q*(q + 1)
Let g = -305 - -287. Let t be 72/g - -2*2. Determine w so that -8/3*w**3 - 4/3*w**4 + 8/3*w + t*w**2 + 4/3 = 0.
-1, 1
Let l(o) be the second derivative of 86*o + 0 + 3/40*o**6 - 1/56*o**7 + 0*o**3 + 0*o**4 - 3/40*o**5 + 0*o**2. Factor l(p).
-3*p**3*(p - 2)*(p - 1)/4
Suppose -13*u + 6889 = 155. Let j = 520 - u. Factor -1/9*f**j + 1/9*f**3 + 0 - 2/9*f.
f*(f - 2)*(f + 1)/9
Let k be -6 + 15/(-630)*-266. Solve 0 + 2/3*y**4 - k*y**2 - 1/3*y**3 + 0*y = 0 for y.
-1/2, 0, 1
Let q(f) be the second derivative of -f**6/30 - f**5/2 - 7*f**4/3 - 4*f**3 - 1092*f. Solve q(v) = 0 for v.
-6, -2, 0
Let z = 922259 - 8300303/9. Suppose 2/9*s**2 - 10/3 + z*s = 0. Calculate s.
-15, 1
Factor -72*b**4 + 476*b**2 + 70*b**4 + 34*b**3 + 1728 + 265454*b - 263790*b.
-2*(b - 27)*(b + 2)*(b + 4)**2
Let t be ((-21)/6)/((-6)/132). Let m = t + -536/7. Factor -m*y**4 - 3/7 + 6/7*y**2 - 6/7*y**3 + 3/7*y**5 + 3/7*y.
3*(y - 1)**3*(y + 1)**2/7
Let h be ((-21)/49)/(-5 - (-102)/21). Suppose -23*y + y**3 + y**3 + y**h + 2*y + 18 = 0. What is y?
-3, 1, 2
Let y(j) be the first derivative of 25/3*j**3 + 0*j**2 + 1/5*j**5 + 14 + 0*j - 5/2*j**4. Determine c so that y(c) = 0.
0, 5
Factor -5120/7*f - 6/7*f**2 - 1706/7.
-2*(f + 853)*(3*f + 1)/7
Suppose 39*q - 166 = 36*q + d, -q = 2*d - 60. Suppose q*j - 59*j - 12 = -l, 5*l = -3*j + 6. Find g such that 1/3*g + 0 + 1/3*g**l + 2/3*g**2 = 0.
-1, 0
Let r(w) be the second derivative of -41*w + 1/20*w**4 + 243/10*w**2 - 9/5*w**3 + 0. Solve r(q) = 0 for q.
9
Let m(k) = -k**3 + k**2 + k - 3. Let p(g) = -2*g**3 + 46*g**2 + 242*g + 198. Let o(t) = 2*m(t) + p(t). Factor o(d).
-4*(d - 16)*(d + 1)*(d + 3)
Let w(v) be the first derivative of 5*v**3/3 + 625*v**2/2 + 2420*v + 3024. Let w(b) = 0. What is b?
-121, -4
Factor 135/4*p**2 + 327/2*p + 3/4*p**3 - 468.
3*(p - 2)*(p + 8)*(p + 39)/4
Let g(u) = 4*u**2 + u - 3. Let o(y) = 24*y**2 - 367*y + 353. Let f(n) = 5*g(n) - o(n). Let f(v) = 0. What is v?
1, 92
Let l be (88/(-33) + 1)*126. Let j be (-10)/(-12)*(1792/l)/(-32). Suppose j*g**5 - 14/9*g**2 - 2/9*g**3 + 0*g + 2/3*g**4 + 8/9 = 0. What is g?
-2, -1, 1
Suppose 682 = 18*s + 610. Let z(h) be the first derivative of -14/3*h**3 + 0*h + 2*h**2 - 2*h**5 - 3 + 1/3*h**6 + 9/2*h**s. Find q, given that z(q) = 0.
0, 1, 2
Let q be ((-5)/3)/((-66)/(-72) + -1). Let a be q/(-14) + (40/10 - 1). Let -2/7 + 4/7*m**4 - a*m - 12/7*m**2 + 1/7*m**3 = 0. What is m?
-1, -1/4, 2
Let x(z) = 13*z**3 - 39*z**2 + 159*z - 237. Let j(q) = 11*q**3 - 38*q**2 + 161*q - 238. Let s(n) = -6*j(n) + 5*x(n). Suppose s(d) = 0. What is d?
3, 27
Let n(x) be the first derivative of -7*x**2 - 6*x**3 - 2/5*x**5 - 4*x + 49 - 5/2*x**4. Factor n(j).
-2*(j + 1)**3*(j + 2)
Let l(p) = 75*p + 457. Let j be l(-5). Suppose -2*g + j = 74. Let -22/23*z**2 + 8/23*z**3 - 32/23*z - 8/23 + 6/23*z**g = 0. What is z?
-2, -1, -1/3, 2
Let d be 14 + (-52)/4 - (-439)/(-20). Let u = d + 106/5. Factor -1/4*y**4 + 0 - 3/4*y**2 + u*y + 3/4*y**3.
-y*(y - 1)**3/4
Let z be (-500)/(-10) - (-1 + -1). Factor -6*q + 649*q**3 + 2*q - z*q**2 + 52 - 645*q**3.
4*(q - 13)*(q - 1)*(q + 1)
Suppose -35*p - 1540 = -21*p. Let g = p + 332/3. Factor 16*x**4 - 2/3*x**3 + 0 - g*x - 32/3*x**5 - 4*x**2.
-2*x*(x - 1)**2*(4*x + 1)**2/3
Let c(r) be the first derivative of -63 + 5/8*r**2 + 7/12*r**3 - 1/2*r. Factor c(i).
(i + 1)*(7*i - 2)/4
Let o(x) be the first derivative of -x**8/1680 + x**6/360 - 25*x**3/3 + x - 27. Let b(k) be the third derivative of o(k). Factor b(p).
-p**2*(p - 1)*(p + 1)
Let b(k) be the first derivative of k**6/480 - 43*k**5/160 - 167*k**3/3 + 132. Let u(a) be the third derivative of b(a). Factor u(c).
3*c*(c - 43)/4
Factor 0 - 2/13*c**3 + 48/13*c**2 - 46/13*c.
-2*c*(c - 23)*(c - 1)/13
Let f be (2/20)/(19/1596) + 2/(-5). Let g(h) be the second derivative of 3*h**2 - 3/4*h**3 + 0 - 1/8*h**4 + f*h. Factor g(t).
-3*(t - 1)*(t + 4)/2
Let b(r) = -413*r**2 - 3*r + 12 + 10 + 411*r**2. Let h be b(-4). Let 1/5 + 8/5*q**3 + 6/5*q - 3*q**h = 0. Calculate q.
-1/8, 1
Let t(b) = 115*b**3 + 9230*b**2 + 109785*b + 35750. Let l(u) = -9*u**3 - 710*u**2 - 8446*u - 2750. Let v(f) = -40*l(f) - 3*t(f). Determine q so that v(q) = 0.
-25, -22, -1/3
Suppose 0 = -3*c - 2*c + 50. Suppose 0 = 2*v - c. Factor 7*k**3 + 2*k**2 + 4*k**3 - 9*k**3 - 2*k**v - 2*k**4.
-2*k**2*(k - 1)*(k + 1)**2
What is h in -824*h + 0 + 44/3*h**2 = 0?
0, 618/11
Let d(c) = -25*c - 147. Let g be d(-6). Factor -g*r**2 - 3*r**2 + 2*r**2 + 4*r - 60 + 12*r**2.
4*(r + 3)*(2*r - 5)
Let b(a) be the third derivative of -2/105*a**7 + a + 11/15*a**5 - 20/3*a**3 + 1/2*a