/3 + 280*z**2/3 - 2*z - 153. Find o, given that u(o) = 0.
-7, 1, 2, 20
Let x = -158 - -278. Suppose -48*z + x = -40*z. Find l, given that 10*l + z + 5/4*l**2 = 0.
-6, -2
Let h(q) = 2*q**2 - q + 1. Let c(d) = 17*d**2 - 86*d + 281. Let v(r) = c(r) - 6*h(r). Suppose v(m) = 0. Calculate m.
5, 11
Let p(i) = 8*i**4 + 378*i**3 - 388*i**2 - 378*i + 374. Let n(v) = 13*v**4 + 757*v**3 - 773*v**2 - 757*v + 750. Let o(b) = -3*n(b) + 5*p(b). Factor o(q).
(q - 380)*(q - 1)**2*(q + 1)
Let a(o) be the second derivative of -1/10*o**6 - 15*o - 3/20*o**5 + 2 + 2*o**3 + 0*o**2 + o**4. Let a(z) = 0. What is z?
-2, -1, 0, 2
Suppose 64 - 26 = 2*g + 4*x, 0 = 2*x - 14. Let v(d) be the second derivative of -5/3*d**3 - g*d - 5/2*d**2 + 0 - 5/12*d**4. Factor v(l).
-5*(l + 1)**2
Factor 1285*g + g**2 + 1291*g - 6*g**2 - 3243*g - 635 + 1307*g.
-5*(g - 127)*(g - 1)
Suppose 2/9*m**5 + 464/9 + 722/9*m**3 + 1400/9*m + 128/9*m**4 + 1532/9*m**2 = 0. Calculate m.
-58, -2, -1
Let f(l) be the first derivative of 3/2*l**6 + 16*l**3 - 12*l**4 + 0*l - 12/5*l**5 + 17 + 24*l**2. Determine h so that f(h) = 0.
-2, -2/3, 0, 2
Suppose b = -42*n + 44*n, 0 = 2*b - 3*n. Let k be 152/(-95) + (1 - b) + 1. Suppose 2/5*o + k - 7/10*o**4 - 27/10*o**2 + 13/5*o**3 = 0. What is o?
-2/7, 1, 2
Let m be 194*((-20)/(-5) - 5). Let s = m + 274. Factor -665*c - 5*c**5 + s*c**4 - 530*c**2 - 190 - 25*c**4 - 55 - 50*c**3.
-5*(c - 7)**2*(c + 1)**3
Suppose 104*r + 2*d = 102*r + 24 + 40, -3*d = -12. Solve -392 - 1/2*n**2 + r*n = 0.
28
Let x(t) be the first derivative of 8*t**2 + 0*t - 7/2*t**4 - 142 - 1/3*t**6 - 4*t**3 + 12/5*t**5. Suppose x(h) = 0. What is h?
-1, 0, 1, 2, 4
Suppose -4*j + 2 + 32 = -3*d, 3*j + 6 = 0. Let p = d - -19. Factor 15*f**5 + 10*f**5 - 39*f**5 + 19*f**p - 5*f**3.
5*f**3*(f - 1)*(f + 1)
Suppose -19*o + 56 - 56 = -57. Determine r, given that -5/4*r**5 - r + 0 + 11/2*r**4 + 5*r**2 - 33/4*r**o = 0.
0, 2/5, 1, 2
Let v(m) be the first derivative of -15*m**5/2 + 95*m**4/12 - 5*m**2/2 + 39*m - 95. Let d(i) be the first derivative of v(i). Solve d(x) = 0 for x.
-1/5, 1/3, 1/2
Solve 165*x + 3/4*x**5 + 18*x**4 + 363/4*x**3 + 369/2*x**2 + 54 = 0.
-18, -2, -1
Factor -1143 - 250*y**3 + 6496*y**2 + 16*y**3 - 8892*y + 5475 + 3*y**4 - 1705*y**2.
3*(y - 38)**2*(y - 1)**2
Let p(m) = m**2 + 3*m + 1. Let y be p(-3). Let l be ((-8)/10)/(4/(-10))*y. Factor -64 - f**5 + 3*f**4 + 6*f**3 - l*f**5 + 64.
-3*f**3*(f - 2)*(f + 1)
Suppose 9*x + 268 = 1420. Factor x*a + 2688 - 13*a**2 + 4*a**3 - 27*a**2 - 2816.
4*(a - 4)**2*(a - 2)
Let r(q) be the third derivative of 5*q**8/336 + 47*q**7/42 + 67*q**6/12 + 22*q**5/3 + 165*q**2 - 7. Solve r(c) = 0.
-44, -2, -1, 0
Suppose a - 474 = -2*s - 2*s, -5*a = s - 2446. Let f be a/105 + -2 + -2. Factor -1/3 - 14/3*t**2 + 2*t - 3*t**4 + 16/3*t**3 + f*t**5.
(t - 1)**4*(2*t - 1)/3
Let x(n) be the second derivative of -n**4/6 + 2707*n**3/21 + 774*n**2/7 + 6*n + 55. Factor x(s).
-2*(s - 387)*(7*s + 2)/7
Let f(v) be the first derivative of 4*v**3/21 - 90*v**2 - 1329. Factor f(g).
4*g*(g - 315)/7
Suppose 19 - 21 = -y. Factor -38*s - 5*s**2 - 316 + 12*s**y - 8*s**2 - 45.
-(s + 19)**2
Let s(o) = 5*o**3 + 27*o**2 - 65*o - 103. Let g(l) = 9*l**3 + 55*l**2 - 131*l - 205. Let d(f) = 4*g(f) - 7*s(f). Factor d(q).
(q - 3)*(q + 1)*(q + 33)
Let q(s) be the second derivative of s**4/12 + 1057*s**3/6 - 529*s**2 + 8884*s. Factor q(o).
(o - 1)*(o + 1058)
Determine w so that 117836 - 66741 + 969*w + 48*w**2 - 66701 - 3*w**3 = 0.
-18, 17
Let o(v) be the third derivative of -19/30*v**4 + 0*v - 361/15*v**3 - 1/150*v**5 + 0 + v**2. Find z, given that o(z) = 0.
-19
Let i(n) be the third derivative of -39304/9*n**3 - 2*n**2 + 6*n - 17/15*n**5 + 289/3*n**4 + 0 + 1/180*n**6. Find y, given that i(y) = 0.
34
Let z = 109 - 107. Factor -11*p**z + 5*p - 4*p**2 + 6*p**3 + 6 + 5*p**4 + 2 + 2 - 11*p**3.
5*(p - 2)*(p - 1)*(p + 1)**2
Factor 112 + 7265*s + 142603340*s**3 + 1760550*s**2 - 102 + 3125193*s**4 + 67737247*s**4.
5*(s + 2)*(242*s + 1)**3
Let 870*i**2 - 3*i**4 + 0*i**4 - 294*i**3 + 4*i**4 - 5*i**4 - 866*i + 6*i**4 + 288 = 0. What is i?
1, 144
Let m(y) be the first derivative of -16*y - 1/90*y**5 + 16 - 1/27*y**3 + 0*y**2 - 1/27*y**4. Let n(d) be the first derivative of m(d). Factor n(z).
-2*z*(z + 1)**2/9
Let v(r) = -26*r**2 - 139*r - 364. Let x(p) = -5*p**2 - 28*p - 73. Suppose -43*i - 50 = -45*i. Let d = 23 - i. Let u(g) = d*v(g) + 11*x(g). Factor u(w).
-3*(w + 5)**2
Solve -u**3 + 0*u - 2/5*u**2 + 0 - 1/5*u**4 + 2/5*u**5 = 0.
-1, -1/2, 0, 2
Suppose 2*h - 63 = -3*f, 206*f + 105 = 211*f - 3*h. Let p = -19 + f. Factor 2/11*s + 0 + 2/11*s**p.
2*s*(s + 1)/11
Let u(k) be the first derivative of k**4/12 - 16*k**3/9 - 2571. Factor u(x).
x**2*(x - 16)/3
Suppose -3*j + 24 = 15. Let x(f) = f**3 - 5*f**2 + 7*f + 1. Let z be x(j). Factor -7*u**2 + u**5 - u + 58*u**4 + 5*u**2 - 56*u**z.
u*(u - 1)*(u + 1)**3
Let k be (-84)/18*540/(-42). Factor 89*m**3 + 176*m - k + 92 + 312*m**2 + 91*m**3.
4*(3*m + 2)**2*(5*m + 2)
Let l = 55 - 92. Let r be (3 + 2 + l/7)*-7. Determine o, given that -4*o**3 + 32 + 9*o**2 - 48*o + 0*o**r + 15*o**2 = 0.
2
Let v(f) be the first derivative of 1/20*f**4 + 12/5*f**2 + 30 - 4*f - 3/5*f**3. Find m, given that v(m) = 0.
2, 5
Let i(t) = t**3 + 6*t**2 + 3*t - 12. Let k be i(-4). Solve -4527*r**2 - k + 888*r - 26301*r**2 + 6186*r**2 = 0 for r.
2/111
Suppose -3*u + 11*f + 153 = 8*f, 5*f - 15 = 0. Factor 9*m + 34*m**3 + 4*m + 6*m**4 - u*m**2 + 7*m - 6*m.
2*m*(m - 1)*(m + 7)*(3*m - 1)
Suppose 4961/5*u - 26/5*u**4 - 15972/5 - 144/5*u**3 - 1/5*u**5 + 814/5*u**2 = 0. Calculate u.
-11, 3, 4
Let s be (-216)/48 - (-470)/100. Find i, given that 19/5 + s*i**2 + 4*i = 0.
-19, -1
Solve 0*d + 12*d**2 + 0 - 11*d**3 - 3/2*d**4 + 1/2*d**5 = 0.
-4, 0, 1, 6
Let l be 10*9/(-6) - (-28294)/282. Determine x so that 0 + l*x + 16*x**3 - 64*x**2 - 4/3*x**4 = 0.
0, 4
Let i(s) be the third derivative of -s**6/24 + s**5/6 + 145*s**4/24 - 25*s**3 + 847*s**2. Factor i(z).
-5*(z - 6)*(z - 1)*(z + 5)
Let u be -11*6/(-44) - (-4254)/(-4). Let r = -1059 - u. Factor 4/3 - 4/9*p**r + 4/9*p - 4/3*p**2.
-4*(p - 1)*(p + 1)*(p + 3)/9
Suppose f = 5*t - 8, 2*t - 5*f - 4 = 13. Determine l so that 1 - 2632*l**2 + l**4 + 2640*l**2 - 9*l**3 - t = 0.
0, 1, 8
Let d(g) be the third derivative of -g**6/504 - g**5/105 + g**4/42 - 3*g**3/2 - 79*g**2. Let a(n) be the first derivative of d(n). Factor a(l).
-(l + 2)*(5*l - 2)/7
Let k = -595 - -348. Let d = k + 2225/9. Factor -2/9*q**2 - 2/9*q**3 + 2/9*q + d.
-2*(q - 1)*(q + 1)**2/9
Let s(c) = c**2 + c. Let y(l) = l**3 - 16*l**2 + 3*l. Suppose -84 = -24*d + 10*d. Let r(i) = d*s(i) + y(i). Find b, given that r(b) = 0.
0, 1, 9
Let n(o) be the third derivative of -2/105*o**7 - 1/84*o**8 + 2*o**2 + 1/30*o**6 + 1/15*o**5 - 27 + 0*o**3 + 0*o + 0*o**4. Factor n(v).
-4*v**2*(v - 1)*(v + 1)**2
Let o(s) = -15*s**3 - 25*s**2 + 35*s + 105. Let b(x) = 17*x**3 + 26*x**2 - 39*x - 108. Let g(d) = -5*b(d) - 6*o(d). Solve g(r) = 0.
-3, 2
Let g be -5 - (-10 + 1) - 2. Let k be 24/(-150)*30/(-4). Determine u, given that -2/15*u**g + 4/5*u - k = 0.
3
Factor -5*c**3 - 1824*c**2 + 3493*c**2 + 120*c - 1774*c**2 + 220.
-5*(c - 2)*(c + 1)*(c + 22)
Let g = -37275/8 - -4660. Let p(o) be the first derivative of 1/4*o**4 + 1/2*o + g*o**2 - 11/12*o**3 - 16. Factor p(z).
(z - 2)*(z - 1)*(4*z + 1)/4
Let w(r) = 750*r - 3748. Let m be w(5). Let q(i) be the second derivative of -1/3*i**3 - 15*i + 0*i**m + 1/12*i**4 + 0. Factor q(g).
g*(g - 2)
Suppose -13*p + 15*p = r + 56, 140 = 5*p - 2*r. Determine y so that 4*y**2 - 4*y**2 - 10 - y**2 - 5 + p*y - 12 = 0.
1, 27
Let o(i) be the second derivative of i**8/6720 - i**7/840 + i**6/360 - 3*i**4/4 - 4*i - 3. Let w(x) be the third derivative of o(x). Factor w(b).
b*(b - 2)*(b - 1)
Solve -4678 - 4365*u**2 - 270*u**3 + 81640*u - 101080*u - 5*u**4 - 21242 = 0.
-24, -3
Let n be 13/(182/168) - 350/30. Factor -16*i**2 + 0 - n*i**5 + 0*i - 40/3*i**3 - 11/3*i**4.
-i**2*(i + 3)*(i + 4)**2/3
Factor 3/2*s**2 + 24725400 - 12180*s.
3*(s - 4060)**2/2
Let q(l) be the third derivative of -160/3*l**3 + 2 + 0*l - 50/3*l**4 - 85*l**2 - 17/12*l**5 - 1/24*l**6. Factor q(g).
-5*(g + 1)*(g + 8)**2
Let v(w) be the first derivative of 1/4*w**4 - 45 + 1/3*w**3 - 4*w**2 - 12*w. Solve v(j) = 0 for j.
-2, 3
Factor 1704*u + 45145 + 32