2/5 - 1077*j - 2. Find d, given that g(d) = 0.
-334, 1
Suppose -4*n = 4*h - 200, 84 = 5*n - 4*h - 166. Let x = n + -50. Let -53*m + 55*m - m**4 + 3*m**2 + x*m**4 = 0. Calculate m.
-1, 0, 2
Suppose 263 - 281 = -9*q. Let x be (2 + (-25)/15)*3*q. Factor -1/3*y**3 + 0 - 1/9*y**4 - 2/9*y**x + 0*y.
-y**2*(y + 1)*(y + 2)/9
Let v be (108/(-90))/((-12)/(-100)) - 101/(-10). Factor 0 - v*u**3 + 1/10*u + 0*u**2.
-u*(u - 1)*(u + 1)/10
Let x be 5/(5/(-2)) + 2. Let q(g) = -2*g**3 + 980*g**2 + 3967*g - 7410. Let u be q(494). Factor u + 2*i**2 + x*i + 1/2*i**5 + 5/2*i**4 + 4*i**3.
i**2*(i + 1)*(i + 2)**2/2
Determine z, given that 505*z**4 + 5184 - 84*z**2 - 5472*z - 16472*z**2 - 5*z**5 - 5548*z**3 - 158*z**4 = 0.
-2, -1, 2/5, 36
Let l be (-3 - -5)/(-2 + 8/3). Suppose -z - l*z = -4*t - 36, -9 = -z + 3*t. Factor -6*o**3 - 74*o**4 + 24*o**5 + 101*o**4 + z*o**5.
3*o**3*(o + 1)*(11*o - 2)
Let l(x) be the first derivative of -2*x**3/15 - 9*x**2 + 92*x/5 - 88. Determine i so that l(i) = 0.
-46, 1
Let b(z) be the first derivative of z**5/4 + 25*z**4/4 - 1229. Find r, given that b(r) = 0.
-20, 0
Factor 116/7*u**3 - 69948/7*u + 2158/7*u**2 + 1/7*u**4 + 363609/7.
(u - 9)**2*(u + 67)**2/7
Let o be (79/(-3) + 0)/(1/(-3)). Factor -2*a**3 + 35*a**2 + 44 - o*a + 100 - 7*a**2 - 35*a.
-2*(a - 8)*(a - 3)**2
Let j(i) be the third derivative of i**5/20 - 33*i**4/4 + 124*i**3 - 1123*i**2. Factor j(c).
3*(c - 62)*(c - 4)
Let p(o) = 8*o**3 - 92*o**2 + 768*o - 2226. Let m(u) = -u**3 + u**2 + 8*u - 1. Let n(j) = 6*m(j) + p(j). Suppose n(w) = 0. What is w?
6, 31
Let k = 1094339/7 + -156334. Factor 0*a + 2/7*a**3 + 0 + 1/7*a**2 + k*a**4.
a**2*(a + 1)**2/7
Let o = 1401 - 733. Let d = -7346/11 + o. Factor -2/11*j**3 + 6/11*j**2 + 10/11*j + 4/11 - d*j**4.
-2*(j - 2)*(j + 1)**3/11
Let v(k) = k**2 + 9*k + 8. Suppose -20*s + 16*s = 216. Let a = 49 + s. Let i(r) = -3*r**2 - 19*r - 16. Let j(u) = a*v(u) - 2*i(u). Factor j(n).
(n - 8)*(n + 1)
Let i(h) be the second derivative of 0 + 1/96*h**4 + 3/16*h**2 + 79*h + 1/12*h**3. Solve i(u) = 0 for u.
-3, -1
Suppose -72*s = -14336 + 14192. What is u in -4/5*u**s - 16/5 - 16/5*u = 0?
-2
Let i(t) = 191*t**2 - 35332*t - 515. Let b be i(185). Find j such that 1/3*j**2 + 1200 - b*j = 0.
60
Let f be 3048/72 + 2/(-6). Let x be 7/(-140) + f/140. Let 1/4*n**3 - x*n**2 + 0 + 0*n = 0. What is n?
0, 1
Let c(z) = -3*z + 26. Suppose 9*h + 24 = 12*h. Let a be c(h). Suppose 3*s**2 - 2*s**2 + 5*s - 3*s**a + s = 0. Calculate s.
0, 3
Suppose 5*y + 312 = -3*y. Let p = y + 44. Let a(d) = -8*d**3 - 4*d**2 + 2*d + 4. Let s(g) = 7*g**3 + 5*g**2 - 2*g - 5. Let m(z) = p*a(z) + 6*s(z). Factor m(w).
2*(w - 1)*(w + 1)*(w + 5)
Let k = 192413 - 1731715/9. Suppose k*o**2 - 2/9*o**3 + 2*o - 2 = 0. Calculate o.
-3, 1, 3
Let n(o) be the second derivative of o**6/840 + o**5/105 + o**4/56 - 11*o**2/2 + 6*o + 7. Let p(b) be the first derivative of n(b). Factor p(a).
a*(a + 1)*(a + 3)/7
Solve -304*y + 86*y**2 + 320 + 28*y**4 + 100*y**3 - 3*y**2 - 98*y**2 - 129*y**2 = 0.
-4, -2, 1, 10/7
Let i(s) be the first derivative of 1/6*s**3 + 0*s - 1/4*s**2 - 1/10*s**5 + 1/8*s**4 + 96. Factor i(r).
-r*(r - 1)**2*(r + 1)/2
Let y(x) be the first derivative of -x**5/5 - 105*x**4/2 + 212*x**3 - 319*x**2 + 213*x - 1613. Factor y(f).
-(f - 1)**3*(f + 213)
Determine t, given that 2*t**3 + 306*t + 6*t**3 + 911*t**2 + 584*t - 19*t**2 - 6*t**3 = 0.
-445, -1, 0
Let u(k) = k**3 + 15*k**2 + k - 50. Let c be u(-7). Let y be 4/50 + c/500. Factor y*s**2 + 0*s - 3.
3*(s - 2)*(s + 2)/4
Let k = -4226 - -2029. Let r = -10974/5 - k. Find h, given that -r*h**2 + 9/5*h + 2/5 = 0.
-2/11, 1
Let o = 3964 + -166487/42. Let y(c) be the second derivative of 7/6*c**3 + 3/2*c**2 - o*c**7 + 1/6*c**4 - 3/10*c**5 + 0 - 1/6*c**6 - 21*c. Factor y(m).
-(m - 1)*(m + 1)**3*(m + 3)
Let a = -13700 - -13702. Let p(s) be the first derivative of -2/5*s**a - 8 - 2/15*s**3 - 2/5*s. Find l, given that p(l) = 0.
-1
Let k(m) be the first derivative of -m**4/16 + 3*m**3 - 189*m**2/8 + 135*m/2 + 75. Factor k(u).
-(u - 30)*(u - 3)**2/4
Let l(v) = -13*v**3 - 79*v**2 - 440*v + 1628. Let n(y) = -5*y**3 - 30*y**2 - 147*y + 543. Let g(c) = -3*l(c) + 8*n(c). Factor g(u).
-(u - 6)**2*(u + 15)
Let d(k) = -k**3 - 12*k**2 - 19*k + 15. Let t be d(-10). Determine l, given that -11*l**4 + 30 + t*l**4 + l**4 - 25*l**2 + 25*l**3 - 25*l = 0.
-1, 1, 2, 3
Let j(y) be the first derivative of 32/7*y**2 - 15 - 16/7*y**3 - 26*y + 3/7*y**4. Let p(n) be the first derivative of j(n). Factor p(b).
4*(3*b - 4)**2/7
Let p(x) be the third derivative of 5*x**8/336 + x**7/14 - 5*x**6/8 - 19*x**5/12 + 25*x**4/4 - 578*x**2 + 5. Suppose p(y) = 0. What is y?
-5, -2, 0, 1, 3
Suppose 0 = -w + 6*w + 5. Let d be (-1 - 0)*(-4 - w). Let -12*y**5 + 2*y + 15*y**2 + 6*y**3 - 4*y + 35*y**4 - 42*y**d = 0. Calculate y.
0, 1/4, 2/3, 1
Find v such that -1161*v**3 + v**4 + 587*v**3 + 571*v**3 - 10*v**2 = 0.
-2, 0, 5
Determine k so that -10/3*k**5 - 128/3*k**2 + 28/3 + 164/3*k**3 - 44/3*k**4 - 10/3*k = 0.
-7, -2/5, 1
Let r(g) be the first derivative of 10*g**3 + 75/2*g**2 + 3/4*g**4 - 69 + 0*g. Factor r(b).
3*b*(b + 5)**2
Let g(v) be the second derivative of -v**5/20 + 55*v**4/6 - 2818*v. Determine u so that g(u) = 0.
0, 110
Solve 3872/9 + 1174/3*p**2 - 172/9*p**3 + 2/9*p**4 + 7568/9*p = 0 for p.
-1, 44
Suppose 812 + 98 = -65*b. Let g be ((-6)/162*4)/(b/21). Factor -g*m**4 + 0 + 2/9*m**2 - 2/9*m**3 + 2/9*m.
-2*m*(m - 1)*(m + 1)**2/9
Let t be (-90)/12*(-12)/18. Let a(p) be the second derivative of 1/4*p**4 + 0 - 1/28*p**7 + 1/4*p**3 + 0*p**t - 1/10*p**6 + 9*p + 0*p**2. Factor a(z).
-3*z*(z - 1)*(z + 1)**3/2
Let v = 21 + 43. Let z = -62 + v. Let f(q) = 21*q**2 - 75*q + 81. Let b(u) = -5*u**2 + 19*u - 20. Let a(t) = z*f(t) + 9*b(t). Find c such that a(c) = 0.
1, 6
Let f = -139298 - -139302. Find x, given that 80/3 + 215/3*x**f - 295/3*x**2 - 85/3*x**3 + 110/3*x - 25/3*x**5 = 0.
-1, -2/5, 1, 8
Let y = 821 - 815. Suppose 0 = -y*m + 5 + 7. Factor 0*r + 0 - 2/5*r**3 - 2/5*r**m.
-2*r**2*(r + 1)/5
Let s(m) be the first derivative of -2*m**5/25 + 33*m**4/5 - 3098*m**3/15 + 3036*m**2 - 21160*m - 381. Factor s(h).
-2*(h - 23)**2*(h - 10)**2/5
Let y = -13512 - -270241/20. Let n(l) be the first derivative of -8 + 1/12*l**3 + 1/8*l**4 + 0*l + y*l**5 + 0*l**2. Factor n(u).
u**2*(u + 1)**2/4
Let m(x) be the third derivative of x**7/70 - 22*x**6/5 - 36*x**5 - 3*x**2 + 183*x - 3. Solve m(n) = 0 for n.
-4, 0, 180
Suppose 19 = 8*z + 3. Determine n so that 0 + 22*n**4 + 97*n + 25*n**5 - 212*n**4 - 10 + 129*n**3 + 253*n**3 - 304*n**z = 0.
1/5, 2/5, 1, 5
Let o(d) be the third derivative of 1681*d**6/180 + 328*d**5/5 - 265*d**4/3 + 400*d**3/9 - 2*d**2 - 3*d - 63. What is z in o(z) = 0?
-4, 10/41
Let w(m) = -m**3 - 3*m**2 - 3*m - 1. Let i be w(-2). Let q be (6/135)/(i/10). What is j in -2/9*j**4 + 0*j**3 + 0 + 2/3*j**2 - q*j = 0?
-2, 0, 1
Let d be (-17 + 10)*(-36)/21. What is u in -17 - 4*u**2 - 16*u**4 + 17 + d*u**3 + 8*u**3 = 0?
0, 1/4, 1
Let f be ((-164)/82)/(2/(-3)). Let i(u) be the first derivative of 2/3*u**4 - 7/9*u**6 + 20 + u**2 - 8/5*u**5 - 4/3*u + 28/9*u**f. Solve i(t) = 0.
-1, 2/7, 1
Let v be (((-390)/(-72))/13)/((3150/72)/35). Factor -2/3*o - o**2 - v*o**3 + 0.
-o*(o + 1)*(o + 2)/3
Let y(c) = -c**3 + 7*c**2 - 4*c - 6. Let p be y(6). Factor -72*v**4 - 16*v - 77*v**4 + 30*v**2 + p*v**3 - 32 + 10*v**3 + 151*v**4.
2*(v - 1)*(v + 1)*(v + 4)**2
Suppose 84*l**2 + 243*l**4 - 747*l**3 + 95*l**3 + 984*l - 479*l**4 - 332*l + 128*l**4 + 24 = 0. What is l?
-6, -1, -1/27, 1
Let b(i) be the second derivative of 0*i**3 + 1/35*i**7 + 29/150*i**6 - 1/10*i**4 + 3 + 31/100*i**5 - i + 0*i**2. Solve b(o) = 0.
-3, -2, 0, 1/6
Let z(w) be the first derivative of w**6/600 + w**5/75 - w**4/30 - 8*w**3/15 + w**2 + 8*w - 58. Let l(a) be the second derivative of z(a). Factor l(x).
(x - 2)*(x + 2)*(x + 4)/5
Suppose 17*k = 19*k. Suppose k = -2*u + 6*u - 8. Factor 7/2*a**3 + 4*a**u + 1/2 + 1/4*a**5 + 3/2*a**4 + 9/4*a.
(a + 1)**4*(a + 2)/4
Solve 150*s + 3805439*s**2 - 706*s + 40 + 196*s**3 - 3803535*s**2 = 0 for s.
-10, 1/7
Let -420*v - 435*v**3 + 223 - 151 + 251*v**2 + 75*v**4 + 511*v**2 = 0. What is v?
2/5, 2, 3
Let r be (-7*2)/2 + (-427)/(-49). Let c(f) be the first derivative of 5/7*f**2 + 11 + 2/21*f**3 - r*f. Factor c(l).
2*(l - 1)*(l + 