 3. Factor y(g).
(8*g + 3)**2*(27*g - 2)
Let d be 4/(-14) + 354/14. Let p = -19 - -40. Solve -p*g - 2*g**3 + g**3 + d*g = 0 for g.
-2, 0, 2
Let g = -1397/45 + 1462/45. Determine w, given that -11/9*w**2 - 2/9 - g*w = 0.
-1, -2/11
Let v(h) be the third derivative of -h**5/300 + 5*h**4/12 + 17*h**3/10 - 469*h**2. Find z such that v(z) = 0.
-1, 51
Let u(b) = -57*b**2 + 783*b - 16. Let r(g) = 192*g**2 - 2610*g + 54. Let c(l) = 8*r(l) + 27*u(l). Factor c(v).
-3*v*(v - 87)
Suppose -13332 = 3*u - 13350. Let c(t) be the third derivative of -1/10*t**4 + 25*t**2 + 2/5*t**3 - 1/100*t**5 + 0 + 1/200*t**u + 0*t. Solve c(h) = 0 for h.
-2, 1, 2
Let u(l) be the first derivative of -l**6/60 + l**5/12 + 29*l**4/64 + 3*l**3/4 - 19*l**2 + 54. Let w(c) be the second derivative of u(c). Factor w(j).
-(j - 4)*(4*j + 3)**2/8
Let c(p) be the second derivative of 0 + 7/180*p**6 + 1/18*p**4 + 0*p**3 + 0*p**2 - 4*p - 2/15*p**5. Factor c(y).
y**2*(y - 2)*(7*y - 2)/6
Suppose i - 19 = f, -2 = 2*i + 5*f - 12. Factor 3*g - 3*g**3 + 0*g**3 + i + 35*g**2 - 72*g**2 + 22*g**2.
-3*(g - 1)*(g + 1)*(g + 5)
Suppose 8*j + r = 3*j + 6786, 0 = -4*j - 2*r + 5424. Let -j*s + 667*s - 150 + 5*s**2 + 656*s = 0. Calculate s.
-3, 10
Let i(z) be the third derivative of -2/735*z**7 + 1/2352*z**8 - 32*z - 1/140*z**6 + 1/105*z**5 + 0*z**3 + 0 - z**2 + 5/168*z**4. Let i(r) = 0. What is r?
-1, 0, 1, 5
Suppose -32*g + 28*g = -8. Let n be (-2)/g + (2 - -5). Solve n + 144*c**4 - 33*c - 23*c - 58*c**2 - 336*c**3 + 302*c**2 - 2 = 0.
1/6, 1
Let j(n) be the first derivative of -2*n**3/3 + 48*n**2 - 94*n - 1708. Factor j(z).
-2*(z - 47)*(z - 1)
Determine w so that -6747 - 22898 - 1479*w - 180*w**2 - 3141*w = 0.
-77/6
Let g(m) = m**3 - 38*m**2 + 90*m - 3. Let c(d) = -2*d**3 + 114*d**2 - 268*d + 8. Let j(v) = 3*c(v) + 8*g(v). Let j(a) = 0. Calculate a.
-21, 0, 2
Let v = 89 + -69. Suppose -l = -6*l + v. Determine k so that -12*k**3 - l*k**3 - 5*k**4 - 5*k**2 + 30*k + k**3 - 5*k**3 = 0.
-3, -2, 0, 1
Let w = -388 + 6598/17. Let y = 2110/17 + -124. Suppose 0 - y*f**5 + 0*f**2 + 4/17*f**3 - w*f**4 + 0*f = 0. What is f?
-2, 0, 1
Let f(o) be the first derivative of o**6/720 - 17*o**5/120 + 289*o**4/48 - 4913*o**3/36 - 43*o**2 + 54. Let y(r) be the second derivative of f(r). Factor y(w).
(w - 17)**3/6
Solve -3/8*s**5 + 15/4*s**3 + 261/8*s + 27/2 + 24*s**2 - 3/2*s**4 = 0 for s.
-3, -1, 4
Let i(r) be the first derivative of 18*r**3/7 - 107*r**2/7 - 8*r/7 - 1195. Determine l so that i(l) = 0.
-1/27, 4
Suppose 10*i + 5*p + 179 = 11*i, -5*i + 2*p + 941 = 0. Let w = i + -189. Suppose 6/5*q**2 + 8/5*q + w*q**3 - 1/5*q**4 + 3/5 = 0. Calculate q.
-1, 3
Let l be (-12)/(-9)*(24 + 0). Suppose z - 16 - 2 = -3*g, 4*z + 4*g = l. Factor -16/7*y - 2/7*y**z - 8/7 - 10/7*y**2.
-2*(y + 1)*(y + 2)**2/7
Let v(y) be the third derivative of 5*y**8/336 - 2*y**7/21 - y**6/3 + 7*y**5/6 + 35*y**4/24 - 25*y**3/3 + 3787*y**2. What is l in v(l) = 0?
-2, -1, 1, 5
Let c(m) = m**3 + 12*m**2 - 10*m - 31. Let v be c(-10). Let -2*w**5 + 6*w**2 + 136 + 10*w**3 - v + 133 + 2*w**4 = 0. Calculate w.
-1, 0, 3
Let h(n) = -6*n**4 + 27*n**3 - 84*n**2 + 3*n + 126. Let g(k) = -5*k**4 + 29*k**3 - 85*k**2 + 3*k + 126. Let w(v) = 3*g(v) - 2*h(v). Solve w(c) = 0 for c.
-1, 2, 3, 7
Let r(n) = -n**2 + 2*n + 10. Suppose -g - 2*g + 4*h + 8 = 0, -4*g - 5*h + 21 = 0. Let p be r(g). Suppose 12*j**2 + 17*j**2 - 34*j**p + 10*j = 0. Calculate j.
0, 2
Let q(f) = -10930*f + 45. Let j be q(-9). Solve 264*c**3 - 405*c**2 + 10935*c + 264*c**3 - 523*c**3 - j = 0.
27
Determine h, given that -61401 + 12642*h**2 + 171376 + 144641 - 19*h**3 - 1148244*h - 8*h**3 - 1512*h**2 = 0.
2/9, 206
Let s(l) = -13*l**3 - 6 - l**2 - 6*l + 5*l**3 + 0*l**2. Let r be (-2)/(-13)*(-559)/(-43). Let y(w) = -w**3 - w - 1. Let b(m) = r*s(m) - 14*y(m). Factor b(h).
-2*(h - 1)*(h + 1)**2
Let s(w) be the second derivative of -w**4/6 + 44*w**3/3 - 403*w**2 + 3774*w. Factor s(c).
-2*(c - 31)*(c - 13)
Let m(q) = -3*q**3 + 236*q**2 + 8656*q + 69002. Let l(b) = -2*b**3 + 117*b**2 + 4320*b + 34502. Let r(y) = 5*l(y) - 3*m(y). Factor r(x).
-(x + 11)*(x + 56)**2
Suppose 0 = 108*t - 22569 + 22245. Suppose 0 = a + a - 10. What is s in -6/7*s**4 + 6/7*s**t - 3/7*s**a - 6/7 + 12/7*s**2 - 3/7*s = 0?
-2, -1, 1
Let u(p) be the third derivative of -p**7/672 - p**6/40 - 5*p**4/24 + 2*p**2. Let y(x) be the second derivative of u(x). Solve y(v) = 0 for v.
-24/5, 0
Let o(t) = -14*t + 60. Let v be o(4). Suppose -127*y - 2*y**3 - 124*y - 4*y**2 + 2*y**5 + 251*y + v*y**4 = 0. Calculate y.
-2, -1, 0, 1
Suppose 0 = a + 5*i - 423 + 401, -18 = -a - 4*i. Determine x so that 0 + 4/3*x**3 + 4/3*x - 8/3*x**a = 0.
0, 1
Determine g so that 5*g**4 - 25*g**3 + 8*g**2 + g**2 - 9*g**2 - 20*g**3 = 0.
0, 9
Let f be 35/3 - (7 + (-66)/9). Let o(m) = m**2 + 1. Let w(u) = 16*u**2 - 4*u - 36. Let s(j) = f*o(j) - w(j). Factor s(b).
-4*(b - 4)*(b + 3)
Let m be 0 + -2 + (6/10)/(675/8250). Let f(g) be the first derivative of m*g - 4/3*g**3 - 4/15*g**5 - 5/3*g**4 + 26 + 10/3*g**2. Determine c so that f(c) = 0.
-4, -1, 1
Let u(j) = 11*j**4 + 220*j**3 + 2391*j**2 - 214*j - 2426. Let y(d) = -d**4 + 4*d**2 - d + 1. Let x(b) = u(b) + 6*y(b). Solve x(l) = 0.
-22, -1, 1
Factor -p**3 - p + 58*p**2 - 75 + 0 - 2 + 2*p + 19.
-(p - 58)*(p - 1)*(p + 1)
Let p(a) = -14*a**3 - 58*a**2 - 54*a + 114. Let f(g) = 76*g**3 + 290*g**2 + 271*g - 571. Let c(j) = -2*f(j) - 11*p(j). Factor c(o).
2*(o - 1)*(o + 2)*(o + 28)
Let w = 0 - -18. Suppose 0 = w*n - 19*n + 13. Solve -18 + 38 + n*j + 5*j**2 + 12*j = 0 for j.
-4, -1
Let p be ((-18)/(-54))/((-1043)/2). Let b = p - -14608/9387. Find m such that 32/9 + 2/9*m**3 + 16/9*m - b*m**2 = 0.
-1, 4
Solve 150/7*r + 0 - 519/7*r**2 + 285/7*r**4 + 12/7*r**5 - 396/7*r**3 = 0.
-25, -1, 0, 1/4, 2
Let i(m) be the first derivative of 0*m**2 - 39*m - 4/3*m**3 + 47 - 1/3*m**4. Let d(z) be the first derivative of i(z). Factor d(w).
-4*w*(w + 2)
Suppose 0*z = 4*s - 5*z - 17, z + 13 = -4*s. Let l be (2 + s)*4/(-8). What is r in r**3 - 14 - r - 2*r**2 + l*r + 16 = 0?
-1, 1, 2
Let -1/6*f**4 - 19/6*f**2 - 3/2*f**3 + 3/2*f + 10/3 = 0. Calculate f.
-5, -4, -1, 1
Let l(d) be the third derivative of d**7/70 + 7*d**6/90 + d**5/15 - d**3/2 + 21*d**2 - 2*d. Let x(z) be the first derivative of l(z). Solve x(p) = 0.
-2, -1/3, 0
Factor 1/5*i**4 - 57/5*i - 3*i**3 + 22/5 + 49/5*i**2.
(i - 11)*(i - 2)*(i - 1)**2/5
Let d(m) be the second derivative of -11/3*m**2 - 2 - 4/3*m**3 - 1/18*m**4 + 8*m. Find v such that d(v) = 0.
-11, -1
Let m be ((-2 - 5/(-2))*-2)/5 - -4. Factor -361/10 - m*a - 1/10*a**2.
-(a + 19)**2/10
Find r such that 84*r**2 - 2/3*r**3 - 496/3*r + 0 = 0.
0, 2, 124
Let l be (-2)/(-4) + (11629/(-1015))/((-18)/(-15)) + 10. Suppose -6/7*a + l - 2/21*a**2 = 0. What is a?
-10, 1
Let v(s) = -13*s**2 + 58*s + 71. Let o(p) = -72 - 35 + 106 + p**2. Let k(a) = -22*o(a) - 2*v(a). Factor k(f).
4*(f - 30)*(f + 1)
Suppose -l = -3*q - 23, 2*q = 2*l - 37 - 13. Suppose l*f - 5*f**5 - 271*f - 60*f**4 + 420*f**2 - 85*f**3 - 25*f**3 = 0. Calculate f.
-7, 0, 1
Let y(j) = -11*j - 110. Suppose -191*d - 20 = -189*d. Let b be y(d). Suppose 0 - o**3 + 4/3*o**5 + 0*o**4 + b*o + 1/3*o**2 = 0. Calculate o.
-1, 0, 1/2
Let w(i) = 2*i - 1. Let y be 9/(288/(-164)) - (-1)/8. Let v(u) = -33*u**4 - 72*u**3 - 12*u**2 - 10*u + 5. Let s(r) = y*w(r) - v(r). Find o such that s(o) = 0.
-2, -2/11, 0
Let r be ((-2)/(-4))/(4/14*(-77)/(-220)). Let l(k) be the first derivative of 1/8*k**4 - k - r - 2/3*k**3 + 5/4*k**2. Factor l(p).
(p - 2)*(p - 1)**2/2
Solve -8635*s**3 + 3*s + 162*s**2 - 21*s - 19*s + 8512*s**3 - 11*s - 18*s**4 = 0.
-8, 0, 1/2, 2/3
Determine l, given that -106/3*l**4 + 2/3*l**5 - 364/3*l**2 + 572/3*l**3 - 574/3*l + 470/3 = 0.
-1, 1, 5, 47
Let o(p) be the second derivative of p**7/3150 + p**6/75 + 11*p**5/150 + 70*p**4/3 + p + 13. Let m(n) be the third derivative of o(n). Factor m(l).
4*(l + 1)*(l + 11)/5
Let y(w) = -5*w**2 + 51*w + 348. Let o be y(-9). Let a = 518 + o. Factor -14/9*z**a - 20/9 - 74/9*z.
-2*(z + 5)*(7*z + 2)/9
Let x(b) be the second derivative of -48*b + 0 + 1/60*b**4 + 1/15*b**3 - 1/150*b**6 - 1/50*b**5 + 0*b**2. Factor x(s).
-s*(s - 1)*(s + 1)*(s + 2)/5
Factor 7259 + 40448 - 1692*x + 99744 + 3*x**2 + 234*x + 29696.
3*(x - 243)**2
Suppose 29*t - 36*t = -15295. Solve -6