 4)
Suppose f = 4*s - 90 + 3, s = 2*f + 27. Determine x so that -128*x**2 - 316*x + 43 + 9*x**3 - 32 + 109 - s*x**3 = 0.
-6, -5, 1/3
Let x be 5 - (-54852)/(-60) - 3/(-15). Let i = x - -1821/2. Solve -3/2*b**4 - 3*b + 0 + 3*b**3 + i*b**2 = 0 for b.
-1, 0, 1, 2
Let o(g) = 2*g + 7. Let r(b) = -52*b - 211. Let d be r(-4). Let m be o(d). Factor m + 1/3*n**2 + 1/3*n**3 - 5/3*n.
(n - 1)**2*(n + 3)/3
Let q(r) be the second derivative of 37/30*r**3 + 4*r - 6 + 1/60*r**4 - 19/5*r**2. Factor q(s).
(s - 1)*(s + 38)/5
Determine l so that -1/10*l**4 + 0 + 1/10*l**3 + 1/10*l**2 - 1/10*l = 0.
-1, 0, 1
Let g be (-72)/(-2) + (-4)/(-6)*(3 + -6). Let z(w) be the first derivative of -1/10*w**4 + 1/5*w**2 + 2/15*w**3 + 0*w + g - 2/25*w**5. What is n in z(n) = 0?
-1, 0, 1
Let r = -58188 + 58190. Let 2/9*a + 22/9*a**r + 70/9*a**3 + 50/9*a**4 + 0 = 0. What is a?
-1, -1/5, 0
Let w(h) be the second derivative of 0*h**2 - 54*h**3 - 8/3*h**6 - 60*h**4 - 118/5*h**5 - 2/21*h**7 - 23*h + 0. Factor w(j).
-4*j*(j + 1)**2*(j + 9)**2
Let i = 359 + -356. Suppose -i*g = 5*w - 29, 12*w - 20 = 7*w. Let 3/2*a**2 - 3/2*a**4 - 3/4*a + 3/4*a**5 + 0 + 0*a**g = 0. What is a?
-1, 0, 1
Let i be ((-30)/4)/((-158334)/479800). Factor i*l - 122/11*l**2 - 2/11*l**3 - 126/11.
-2*(l - 1)**2*(l + 63)/11
Suppose 0 = m - 4*i - 23, -9*i = -2*m - 12*i - 9. Find h, given that -4*h**5 + 22*h**2 + 8*h**5 - 30*h**2 - 4*h**4 - 4*h**m + 12*h**2 = 0.
-1, 0, 1
Let t = -22/45 - 8/45. Let j = 13/6 + t. Let -27/8*a - 9/4*a**2 - j - 3/8*a**3 = 0. What is a?
-4, -1
Let o(u) = 2*u**2 + 14*u. Let q be 1/3 - -3*44/(-18). Let k be o(q). Factor -1/4*s**5 - 5/4*s**3 + k*s - s**4 + 0 - 1/2*s**2.
-s**2*(s + 1)**2*(s + 2)/4
Let o be (0/(1 + -4))/(-59 + 58). Let s(l) be the third derivative of 4/3*l**3 - 1/30*l**6 + 0 + 1/2*l**4 + o*l**5 + 0*l + 5*l**2. Factor s(d).
-4*(d - 2)*(d + 1)**2
Suppose 400 + 99*r**2 - 399*r + 1/4*r**3 = 0. What is r?
-400, 2
Factor 273/2*f + 15*f**2 + 1/2*f**3 + 338.
(f + 4)*(f + 13)**2/2
Let c(g) be the first derivative of -3*g**4/4 + g**3 + 12*g**2 - 36*g + 46. Factor c(p).
-3*(p - 2)**2*(p + 3)
Let k(m) = -160*m + 875. Let a(p) = 28*p - 146. Let w(u) = -34*a(u) - 6*k(u). Let t be w(36). Suppose -2/23*c**t + 6/23*c + 8/23 = 0. What is c?
-1, 4
Let k be (-2)/(-16) - (-454595)/(-472). Let d = 1929/2 + k. Determine s, given that -d + 2*s**3 + s**2 - 2*s + 1/2*s**4 = 0.
-3, -1, 1
Let y(f) be the first derivative of 2*f**5/5 + 3*f**4 + 2*f**3/3 - 24*f**2 + 32*f - 413. Factor y(v).
2*(v - 1)**2*(v + 4)**2
Let q(k) be the second derivative of -36 - 1/2*k**2 + 7/80*k**6 + 11/12*k**3 + k + 1/160*k**5 - 29/48*k**4. Suppose q(y) = 0. Calculate y.
-2, 2/7, 2/3, 1
Suppose -4*y - 35 = 3*y. Let n be y/(-3 + -2 + 4) - -2. Factor n*b - 27*b - 14 - 5*b**2 - 6.
-5*(b + 2)**2
Suppose -28*y = -9*y + 5*y. Let t(h) be the second derivative of 1/135*h**6 + 1/30*h**5 + 1/27*h**3 + 0 - 9*h + y*h**2 + 1/18*h**4. Factor t(z).
2*z*(z + 1)**3/9
Let a = -5337 + 5340. Let g(t) be the first derivative of -17 + 1/30*t**5 - 1/18*t**a + 1/24*t**4 - 1/12*t**2 + 0*t. Let g(r) = 0. What is r?
-1, 0, 1
Let i be (-15)/10 + 24*(-750)/(-6240). Factor -2/13*a**2 - 16/13*a + i.
-2*(a - 1)*(a + 9)/13
Let -27*d**2 - 31/6*d**3 - 1/6*d**4 - 100/3 - 154/3*d = 0. Calculate d.
-25, -2
Let y(z) be the first derivative of -z**4/2 - 14*z**3 - 98*z**2 + 240*z - 118. Suppose y(u) = 0. What is u?
-12, -10, 1
Let v be (-2)/5*(-15030)/10521*-3*(-3)/18. Factor 128/7 - 96/7*l - v*l**3 - 30/7*l**2.
-2*(l - 1)*(l + 8)**2/7
Let m(c) = -27*c + 182. Let q be m(-14). Let z = q - 560. Factor z + 1/3*b**3 + 1/3*b - 2/3*b**2.
b*(b - 1)**2/3
Let i(p) be the third derivative of 73*p**2 + 0 + 0*p - 31/12*p**4 - 1/60*p**5 - 961/6*p**3. What is c in i(c) = 0?
-31
What is k in 180*k**5 - 120*k - 88*k**5 + 100*k**2 + 7*k**3 + 3*k**3 - 87*k**5 - 25*k**4 = 0?
-2, 0, 2, 3
Let v(w) = -62*w**2 - 1390*w - 570. Let k be v(-22). Factor -2/5*z**3 - 6/5*z + 8/5*z**k + 0.
-2*z*(z - 3)*(z - 1)/5
Suppose 2*n = -3*j - 35 + 26, -2*n + 2*j + 6 = 0. Let w(o) be the third derivative of 0 + o**2 - 2/3*o**5 + 25/24*o**4 + n*o + 1/6*o**6 - 5/6*o**3. Factor w(q).
5*(q - 1)*(2*q - 1)**2
Let h(v) = -v + 1. Let c(q) = q**3 + 5*q**2 - 8*q - 14. Let t be c(-6). Let l be h(t). Factor 2*d**3 - 4*d - d**l - 6*d**2 + 8*d**2 - 8.
(d - 2)*(d + 2)**2
Let y = -4303 + 3043. Let a = y + 1261. Determine w so that -a - 1/3*w**2 + 4/3*w = 0.
1, 3
Let a(i) be the second derivative of 20*i - 2/15*i**4 + 2/15*i**3 + 0 + 2/105*i**7 - 2/25*i**5 + 2/5*i**2 + 2/75*i**6. Factor a(u).
4*(u - 1)**2*(u + 1)**3/5
Factor -719 - 2*j**2 - 33*j - 1314 - 27*j - 148*j - 3375.
-2*(j + 52)**2
What is o in -15/4*o**2 - 1557/4 - 651*o = 0?
-173, -3/5
Let m(k) be the second derivative of 0*k**2 - 3/50*k**5 - 1/15*k**4 - 1/75*k**6 + 3*k + 21 + 0*k**3. Suppose m(x) = 0. Calculate x.
-2, -1, 0
Suppose -4404*o - 26 = -4360*o - 246. Solve 33/2*m**3 + 27/2*m**2 + 0*m**4 + 0 - 6*m**o + 3*m = 0 for m.
-1, -1/2, 0, 2
Let o be 42*(4 - (-15 - 10731/(-567))). Solve 196/9 - o*b + 1/9*b**2 = 0 for b.
14
Let y(i) = -7*i + 15. Let w be y(3). Let t be 5/5*2/(-4)*w. Solve -16*j - t*j**2 + 2*j**4 - 3*j**4 - 3*j**3 + 15*j = 0.
-1, 0
Let o = 281 + -281. Let u(v) be the first derivative of 8/3*v**3 - 8*v + 6*v**2 - 8 + o*v**5 + 2/3*v**6 - 4*v**4. Factor u(y).
4*(y - 1)**3*(y + 1)*(y + 2)
Let p(l) be the second derivative of l**7/42 - 3*l**6/10 - 5*l**5/4 + 29*l**4/12 + 8*l**3 - 22*l**2 - 2297*l + 1. Solve p(q) = 0.
-2, 1, 11
Suppose 2*n + 27 = 3*d, -2*n + 44 = -5*n + d. Let t be (36/n)/((-2)/15). Determine h so that 12*h**3 + 4*h + 4*h**4 + 18 + 12*h**2 - t = 0.
-1, 0
Let p be (-4)/4 - -1 - (2 - 2). Factor -6*w**3 - 2*w**4 + p*w**4 + 17*w**3 - 5*w**3 - 8*w**5.
-2*w**3*(w + 1)*(4*w - 3)
Let n(m) be the third derivative of -m**5/20 - 95*m**4/8 - 47*m**3 + 1598*m**2. Factor n(t).
-3*(t + 1)*(t + 94)
Let g = 573297/29810 + -189/5962. Solve 1/5*a**3 + 64/5*a + g + 14/5*a**2 = 0.
-6, -4
Factor -29/7*y**2 - 592/7 + 1/7*y**3 - 40*y.
(y - 37)*(y + 4)**2/7
Suppose -37*u - 13 + 22 = -102. Let z(f) be the first derivative of -u - 36*f - 4/3*f**3 - 12*f**2. Factor z(c).
-4*(c + 3)**2
Let t(g) be the first derivative of -14*g**5/75 - 916*g**4/15 - 79732*g**3/15 + 35632*g**2/15 + 34322*g/3 + 1753. Determine i, given that t(i) = 0.
-131, -5/7, 1
Let v be (-4)/10 + (-6 - (-336)/40). Suppose 3*h - 4*h = 1, 5*h = -r - v. Factor 24/11*o + 24/11*o**r + 6/11 + 36/11*o**2 + 6/11*o**4.
6*(o + 1)**4/11
Let s be 1 + -2*(1 + -2). Suppose -156*d + 20 = -152*d. Let h**3 + 2 + 17 + 78*h**2 - 337*h**s + 98*h**4 + 136*h + d = 0. Calculate h.
-2/7, 1, 3
Let y(a) be the second derivative of a**6/40 + 7*a**5/20 + 2*a**4 + 6*a**3 - 167*a**2/2 - 17*a. Let q(j) be the first derivative of y(j). Solve q(o) = 0.
-3, -2
Suppose -665 + 25/2*a**2 + 3315/2*a = 0. What is a?
-133, 2/5
Suppose 2*d - 64 = 2*v, 0 = -d - 10*v + 14*v + 32. Determine q so that -14*q**4 + 3*q**4 + 16*q**3 + 40*q**3 - d*q**2 - 5*q**4 + 4*q**4 = 0.
0, 2/3, 4
Let p be 2/(-1)*3/(-2). Factor p*r**2 - 18*r + 15 - 8*r + 8*r.
3*(r - 5)*(r - 1)
Let d be (-9)/90*(1460/(-40) - -24). Let 0*n - 1/4*n**5 - 3/4*n**3 - d*n**4 + 0 + 9/4*n**2 = 0. What is n?
-3, 0, 1
Let k = 68/975 - -5132/975. Solve -k + 2/3*d**4 + 4*d**2 - 8/3*d + 10/3*d**3 = 0 for d.
-2, 1
Find n such that -1000/3 + 450*n + 211/6*n**3 - n**4 - 1/6*n**5 - 620/3*n**2 = 0.
-20, 2, 5
Let z = -51115 + 51118. Factor -8/9*h**z + 2/9*h**2 + 0 + 8/9*h - 2/9*h**4.
-2*h*(h - 1)*(h + 1)*(h + 4)/9
Let a = 16/23 - 226/391. Let z = a - -28/51. Let 4/3*k + z*k**2 + 2/3 = 0. What is k?
-1
Factor -404*o - 4*o**2 - 314395 + 314395.
-4*o*(o + 101)
Let b = -648916 + 295257082/455. Let z = b - 6/65. Find l such that 8/7 - z*l**2 - 4/7*l = 0.
-2, 1
Let -40*v**4 - 52*v**2 + 56*v**3 - 30*v**2 - v**5 + 26*v**2 + 36*v**3 + 5*v**5 = 0. Calculate v.
0, 1, 2, 7
Let l = 1/224433 + 1571026/1122165. Determine t, given that -8*t + l*t**2 + 44/5 + 1/5*t**3 = 0.
-11, 2
Let m be (16/(-28))/((-16)/56). Factor -2*z**3 - 486*z**2 - 18 + 21*z - 488*z**2 + 1456*z**2 - 484*z**m + z**3.
-(z - 3)*(z - 1)*(z + 6)
Suppose -34*s - 14*s + 96 = 0. Let x = 92 - 183/2. Determine g, given that 0 - 1/4*g**5 + 0*g + x*g**s - 1/2*g**4 + 1/4*g**3 = 0.
-2, -1, 0, 1
Let g(r) be the third derivative of -1/1620*r**6 + 0*r**4 + 