tive of w**5/150 - 4*w**4/15 + 13*w**3/5 + 8*w**2 - 83*w. Solve u(j) = 0 for j.
3, 13
Let v = -368 - -370. Let -v*y**4 + 379*y**2 - 327*y**2 - 5*y**4 + 18*y**3 + 48*y + 6*y**4 + 3*y**4 = 0. What is y?
-4, -3, -2, 0
Solve 44*m**2 - 591*m**3 + 97*m**2 + 36*m**2 + 98 + 279*m + 22 + 609*m**3 = 0 for m.
-8, -1, -5/6
Factor -31248/19*j - 31752/19 + 502/19*j**2 - 2/19*j**3.
-2*(j - 126)**2*(j + 1)/19
Let s(g) = g**3 + 152*g**2 + 2191*g + 243. Let x be s(-16). Factor 2/5*y**x - 2 - 2/5*y + 2*y**2.
2*(y - 1)*(y + 1)*(y + 5)/5
Let r be 8 + (1 + 3)*1. Suppose -6*j + r = -4*j. Factor 12*q**2 - 9*q**3 + 24*q**2 - 9*q - j*q**2.
-3*q*(q - 3)*(3*q - 1)
Factor 75/4*p**3 + 10647/4 + 1185/4*p**2 - 7683/4*p.
3*(p + 21)*(5*p - 13)**2/4
Let l(w) = -3*w**2 + 155*w - 1424. Let c be l(12). Factor 0 + 3/2*y**3 + 3/2*y**2 + 1/2*y + 1/2*y**c.
y*(y + 1)**3/2
Let z(a) be the second derivative of -a**5/30 - 13*a**4/9 - 23*a**3/9 + 50*a**2/3 - 2907*a. Factor z(i).
-2*(i - 1)*(i + 2)*(i + 25)/3
Let h(q) be the second derivative of -69*q + 0 + 0*q**3 - 1/15*q**2 + 1/90*q**4. Factor h(l).
2*(l - 1)*(l + 1)/15
Determine y so that -2960*y**2 - 230*y**3 - 9850*y - 7125 - 232*y**4 + 85*y**4 + 79*y**4 + 73*y**4 = 0.
-5, -1, 57
Let a(z) be the first derivative of 0*z - 19/2*z**2 + 8/3*z**3 + 12. Let d(t) = 3*t**2 - 6*t. Let y(m) = 6*a(m) - 17*d(m). Factor y(w).
-3*w*(w + 4)
Suppose -8 = -10*s + 8*s. Determine w, given that -26*w - 11*w**3 + s*w**2 + 3*w**3 + 9*w**3 + 32 + 8*w - 10*w = 0.
-8, 2
Let o(q) = -6*q**3 + 4*q**2 - q. Let r be o(-2). Let h be (59 - 52) + r/(-10). Factor 2/5*k**3 - 2/5*k + 2/5*k**2 - h.
2*(k - 1)*(k + 1)**2/5
Let j be (-10 - -1) + (2/(-8))/(653/(-49628)). Factor 25/3 + 5/3*m**2 - j*m.
5*(m - 5)*(m - 1)/3
Let y be ((-234)/(-182))/(117/273). Solve 1/2*g**4 + 0 + 0*g - 1/2*g**y - 1/2*g**2 + 1/2*g**5 = 0.
-1, 0, 1
Let d(o) be the third derivative of -2*o**3 + 0*o + 0 - 1/120*o**5 + 7/24*o**4 - 285*o**2. Suppose d(q) = 0. What is q?
2, 12
Suppose 0 = 3*s - 6*s + 72. Let f be 2/(-12) - (-5716)/s. Factor -f*u**4 + 235*u**4 + 9*u**3 - 3*u**3 + 9*u**2.
-3*u**2*(u - 3)*(u + 1)
Suppose 24*g + 14 = 38*g. Let r(y) be the second derivative of -y**4/2 - y**3 - y**2 - 6*y. Let b(p) = p**2 - p - 1. Let i(d) = g*r(d) + 2*b(d). Factor i(u).
-4*(u + 1)**2
Suppose -275*f + 605*f - 272*f = 232. Determine v so that 0*v - 2/5*v**f + 0 + 0*v**3 + 2/5*v**2 = 0.
-1, 0, 1
Suppose s = -2*w - 3*w + 9, 0 = w + 4*s + 2. Let m(n) be the first derivative of 1/15*n**5 - 1/4*n**4 + 1/3*n**3 + 0*n + w - 1/6*n**2. Factor m(g).
g*(g - 1)**3/3
Let j(g) be the third derivative of -g**6/48 - 2*g**5/15 + 197*g**4/48 + 10*g**3/3 + 56*g**2. Find c, given that j(c) = 0.
-8, -1/5, 5
Let j(g) be the second derivative of -3/10*g**5 + 0*g**3 + 0 + 91*g + 3/4*g**4 - 1/10*g**6 + 0*g**2. Factor j(c).
-3*c**2*(c - 1)*(c + 3)
Let w(b) = 8*b**4 + 54*b**3 - 152*b**2 + 108*b - 12. Let p(m) = 7*m**4 + 53*m**3 - 153*m**2 + 108*m - 10. Let l(a) = -6*p(a) + 5*w(a). Factor l(h).
-2*h*(h - 2)*(h - 1)*(h + 27)
Let h = -27/8528 - -8609/25584. Determine r, given that -17/3*r + h*r**2 + 0 = 0.
0, 17
Let f(i) be the third derivative of 8/15*i**3 - 1 + 1/5*i**4 + 1/25*i**5 + 0*i + 2*i**2 + 1/300*i**6. Suppose f(g) = 0. What is g?
-2
Let h be (-6)/11 + (8 - (3144/(-924) - -10)). Let n(b) be the first derivative of -h*b + 2/21*b**3 - 23 - 2/7*b**2. Factor n(i).
2*(i - 3)*(i + 1)/7
Factor -360*i - 1366*i**3 - 1366*i**3 + 2728*i**3 - 188*i**2.
-4*i*(i + 2)*(i + 45)
Let s be (-44)/374 + (-32)/17 - -2. Let u(b) be the third derivative of 0*b - b**2 + s + 0*b**3 + 1/360*b**6 + 1/36*b**4 + 1/60*b**5. Factor u(p).
p*(p + 1)*(p + 2)/3
Let r(y) be the third derivative of -7/2*y**3 + 122*y**2 + 0*y + 11/12*y**4 + 0 - 1/60*y**5. Suppose r(s) = 0. Calculate s.
1, 21
Let h be ((-2)/(-40)*2 + (-897)/(-230))*1. Suppose 4/9*i**3 + 2/9*i**h - 8/3*i + 8 - 22/9*i**2 = 0. Calculate i.
-3, 2
Let j(t) = -18*t**3 + 2954*t**2 - 2942*t + 660. Let m(n) = -36*n**3 + 5909*n**2 - 5886*n + 1324. Let c(y) = -5*j(y) + 2*m(y). What is r in c(r) = 0?
1/3, 2/3, 163
Determine f, given that -2*f**5 + 40*f**5 - 484 - 19779*f**4 + 617*f**2 - 3261*f**2 + 5312*f**3 + 9484*f**4 + 9423*f**4 - 9350*f = 0.
-1, -1/19, 2, 11
Let m = -2118/11 + 10623/55. Determine z, given that -8/5*z - 4/5 - m*z**2 = 0.
-2, -2/3
Let a(d) = 2*d. Let w(y) = 1 - y - 7 - 3228*y**2 + 3227*y**2. Let r(t) = -2*a(t) + w(t). Factor r(o).
-(o + 2)*(o + 3)
Let v(n) = -n**4 - 5*n. Let b(s) = -70*s**3 - 1656*s**2 - 13749*s - 12167. Let q(h) = -5*b(h) - 5*v(h). Find y, given that q(y) = 0.
-23, -1
Suppose 3*h + 4 = -3*n + 7, -5*h = 4*n - 5. Suppose l + 11*j + 2 = 15*j, -3*j + 3 = n. Factor 3/7*m**l + 0 + 3/7*m.
3*m*(m + 1)/7
Let h(y) be the first derivative of -1/18*y**4 - 2 + 0*y**2 + 0*y**3 + 6*y. Let n(l) be the first derivative of h(l). Factor n(s).
-2*s**2/3
Let j(k) = -3*k**4 - k**3 - k**2. Let c(l) = -l**4 + 83*l**3 - 7*l**2 - 256*l - 168. Let u(r) = c(r) - j(r). Suppose u(g) = 0. What is g?
-42, -1, 2
Let y(k) be the third derivative of -k**5/30 + 1059*k**4/2 - 3364443*k**3 - 7257*k**2. Factor y(h).
-2*(h - 3177)**2
Suppose 0 = 3*a + 5*j + 6, -j + 16 - 4 = 5*a. Let h be (3/(-5))/(a/2)*-5. Let -2/15*b**3 - 4/15*b**h + 0*b + 0 = 0. Calculate b.
-2, 0
Factor 0*j + 1/7*j**3 + 0 + 321/7*j**2.
j**2*(j + 321)/7
Let i(n) be the third derivative of 129*n**2 + 7/24*n**4 + 0 + 1/120*n**5 + 0*n + 2*n**3. Factor i(t).
(t + 2)*(t + 12)/2
Suppose 4*r = 9*a - 4*a + 24, 2*r - 10 = 3*a. Let m = r + -8. Factor -150*p - 10*p**2 + 150*p - 20*p**4 + 5*p**5 + 25*p**m.
5*p**2*(p - 2)*(p - 1)**2
Factor 1/4*n**2 + 776161/4 - 881/2*n.
(n - 881)**2/4
Let a(f) be the first derivative of f**3/3 - 17*f**2 + 145*f - 2551. Factor a(w).
(w - 29)*(w - 5)
Let o(n) be the second derivative of n**7/10080 - n**6/480 - 7*n**5/480 - 53*n**4/6 - 4*n - 1. Let v(s) be the third derivative of o(s). Factor v(d).
(d - 7)*(d + 1)/4
Let a(b) be the second derivative of 1/21*b**3 - 2 - 1/7*b**2 + 8*b - 4/105*b**6 - 1/14*b**5 + 4/147*b**7 + 5/42*b**4. Find w, given that a(w) = 0.
-1, -1/2, 1/2, 1
Let r(z) = z**2 + 7*z - 4. Let n be r(3). Suppose -2*i = -f + n, 4*f + 7*i - 2*i - 39 = 0. Factor -f*k + 44*k - 21*k - 4*k**3 - 12*k**2 - 15*k.
-4*k*(k + 1)*(k + 2)
Let x(o) be the third derivative of -1/140*o**5 + 0*o - 4 - 3/14*o**3 + 1/14*o**4 + o**2. Factor x(v).
-3*(v - 3)*(v - 1)/7
Suppose 0 = -4*x + 43 - 23. Let d(q) = -q**2. Let j(c) = c**3 - 4*c**2 + 4*c. Let f(a) = x*j(a) + 5*d(a). Let f(h) = 0. Calculate h.
0, 1, 4
Let z(k) = -94*k**3 + 31*k**2 + 26*k + 11. Let x(v) = -17*v**3 + 6*v**2 + 5*v + 2. Let y(o) = 11*x(o) - 2*z(o). Let y(l) = 0. What is l?
-3, -1, 0
Let q(l) be the third derivative of -l**8/84 + 4*l**7/15 - 73*l**6/30 + 172*l**5/15 - 88*l**4/3 + 128*l**3/3 - 2*l**2 + 132*l. Solve q(a) = 0.
1, 4
Let v(f) be the second derivative of -3*f + 128/7*f**2 + 8 + 1/21*f**4 + 32/21*f**3. Factor v(q).
4*(q + 8)**2/7
Let w(j) = -8*j + 184. Let u be w(9). Let k be ((-36)/30)/((u/300)/(-7)). Solve -40 - k*x**2 + 60*x + 5/2*x**3 = 0 for x.
1, 4
Factor 17*d**2 + 462*d - 1088*d - 15*d**2.
2*d*(d - 313)
Suppose -4*z = -31 + 11. Suppose z*x = -d - d + 641, 0 = -2*x - 5*d + 269. Determine u so that 2*u**3 + 127*u - x*u + 2*u**4 = 0.
-1, 0
Let o(a) be the first derivative of -a**3/3 + 130*a**2 - 516*a + 1890. Factor o(m).
-(m - 258)*(m - 2)
Suppose -5*x + 4 = -3*j + 1, -x - 3*j + 15 = 0. Factor 14 + 34*z + 3*z**3 + 8*z + 10 + 21*z**2 + 0*z**x.
3*(z + 1)*(z + 2)*(z + 4)
Suppose 423*o = 96*o + 12753. Solve -30 - o*l + 3/4*l**3 - 27/2*l**2 + 3/4*l**4 = 0.
-2, 5
Let l = -129 + 107. Let n(h) = 20*h**2 - 28*h - 3. Let m(k) = 5*k**2 - 7*k - 1. Let u(r) = l*m(r) + 6*n(r). Determine g so that u(g) = 0.
2/5, 1
Let b(f) be the first derivative of f**6/21 - 52*f**5/35 + 109*f**4/14 + 520*f**3/7 + 900*f**2/7 - 2141. Solve b(s) = 0 for s.
-2, 0, 15
Suppose -2/9*k**2 - 8500/9*k - 9031250/9 = 0. Calculate k.
-2125
Let t(y) = y**3 + 10*y**2 + 18*y - 19. Let z be t(-7). What is h in -28 + 14 - 3*h + 12 - h**z = 0?
-2, -1
Let h be 1/(-1) + -3 + 24. Suppose 2*m = 7*m - h. Let 26*t**3 + 17*t**3 - 3*t**m - 37*t**3 = 0. What is t?
0, 2
Factor -3*s**4 + 4*s**3 - 2314*s**2 - 2364*s**2 - 33*s - 36 + 4717*s**2 + 29*s**3.
-3*(s - 12)*(s - 1)*(s + 1)**2
Let p(r) = -54*r + 54. Let 