(-135) - 14/(-5). Determine l so that 12*l**2 + 48*l + 57*l - 3*l**j - 90*l = 0.
-1, 0, 5
Let u(m) = m**4 + 45*m**3 - 40*m**2 + 2*m + 4. Let w(h) = 6*h**4 + 180*h**3 - 159*h**2 + 9*h + 18. Let s(n) = -9*u(n) + 2*w(n). Determine i so that s(i) = 0.
0, 1, 14
Let w(h) be the first derivative of h**7/42 - 3*h**5 + 20*h**4/3 + 160*h**3 - 1152*h**2 - 31*h + 169. Let o(v) be the first derivative of w(v). Factor o(x).
(x - 4)**3*(x + 6)**2
Let v(d) = -315*d**2 - 92612*d - 586. Let p be v(-294). Find w, given that -46/13*w**4 - 384/13*w**3 + 2592/13 - 2/13*w**5 - 864/13*w - 1296/13*w**p = 0.
-6, 1
Find g, given that 99/2*g**3 + 15*g**4 + 0 + 30*g + 66*g**2 + 3/2*g**5 = 0.
-5, -2, -1, 0
What is d in -36/5*d**2 - 432/5 - 2/5*d**3 - 216/5*d = 0?
-6
Suppose -277 + 179 = -49*d. Let x = 475 - 2367/5. Suppose -x*v - 4/5*v**d + 12/5 = 0. Calculate v.
-3, 1
Let i = 10380/1589 - -171/227. Suppose -i*y**4 - 54/7*y**2 - 9/7*y**5 - 90/7*y**3 + 3/7*y + 9/7 = 0. What is y?
-3, -1, 1/3
Find i, given that 79*i**2 + 3*i + 8031*i**4 - 28 - 7*i - 8059*i**4 + 8*i**3 - 23*i**2 - 4*i**5 = 0.
-7, -1, 1
Let h(u) be the first derivative of -u**5/15 + 5*u**4/4 + 38*u**3/3 + 122*u**2/3 + 56*u - 704. Determine g, given that h(g) = 0.
-2, 21
Suppose 0 = 3*d + 5 - 14. Let b(f) = -17*f + 420. Let m be b(0). What is o in 70*o**3 + 152*o + 828*o**4 - 142*o**4 - m*o**2 + 28*o**d - 16 = 0?
-1, 2/7
Suppose -2*r + 1 = 3. Let v be (r - -2)/((-6)/(-12)). Factor 6*o**2 - 8*o**2 - 2*o**3 - o**2 + o**v.
-2*o**2*(o + 1)
Suppose -77*g + 312 = 45*g - 420. Let t(k) be the first derivative of 9/4*k**4 + 0*k + g + 7/5*k**5 - 2*k**2 - 4*k**3. What is v in t(v) = 0?
-2, -2/7, 0, 1
Let o(u) be the third derivative of -2*u**2 + 49 + 0*u - 4*u**3 + 1/15*u**5 + 5/6*u**4. Find g, given that o(g) = 0.
-6, 1
Suppose -47 + 2*h**3 - 67*h - 25 + 26*h - 41*h - 8*h**2 = 0. Calculate h.
-4, -1, 9
Let i(w) be the first derivative of -w**6/420 + w**5/105 + w**4/28 + 29*w**2/2 + w - 76. Let k(g) be the second derivative of i(g). Factor k(y).
-2*y*(y - 3)*(y + 1)/7
Suppose 10 - 5 = 5*h, 2*x - 11 = -5*h. Suppose -2*r - t = 6 - 9, 0 = x*r - 4*t - 10. Factor -2/3 - 1/3*i + 1/3*i**r.
(i - 2)*(i + 1)/3
Let b be 2/4 - (-16 + 1425/90). Let h(l) be the first derivative of -2*l - 7 + 2/9*l**3 + b*l**2. Determine r, given that h(r) = 0.
-3, 1
Suppose -15 - 3 = 73*m - 79*m. Let p(h) be the second derivative of 1/5*h**5 + 0 + 8/15*h**m + 0*h**2 - 2/75*h**6 - 8/15*h**4 - 13*h. Factor p(i).
-4*i*(i - 2)**2*(i - 1)/5
Let k(p) be the first derivative of -p**6/60 - 4*p**5/15 - p**4 + 4*p**2 - p + 113. Let v(f) be the second derivative of k(f). Factor v(n).
-2*n*(n + 2)*(n + 6)
Let l(v) be the first derivative of -4*v**3/3 + 24*v**2 - 144*v - 756. Determine o so that l(o) = 0.
6
Let g = 6671 + -721. Let m be 2/20 - 17/(g/(-365)). Let -36/7*t + 8*t**2 - 36/7*t**3 + 8/7 + m*t**4 = 0. Calculate t.
1/2, 1, 2
Suppose -10/3*x**3 + 0*x**2 + 0 - 10/3*x**4 + 0*x - 5/6*x**5 = 0. Calculate x.
-2, 0
Let b be (2/(-2) - 2)*1 + 12. Suppose -b = -v + p, 3*p - 4 + 7 = -3*v. Factor 6*j**5 + 12*j**3 - j**2 - 252*j**4 + 4*j**2 + 267*j**v.
3*j**2*(j + 1)**2*(2*j + 1)
Let a = 16 - 142/9. Let p = 311/3231 + 125/359. Let -2/3*h**3 - p + 2/3*h + a*h**4 + 2/9*h**2 = 0. What is h?
-1, 1, 2
Let r(x) be the third derivative of 0*x**3 + 0 + 0*x + 7/30*x**6 + 0*x**4 - 1/105*x**7 - 13/30*x**5 - 99*x**2. Factor r(f).
-2*f**2*(f - 13)*(f - 1)
Suppose 0 = 79*l - 77*l + 30, -38 = -2*g - 2*g + 2*l. Factor 2/3*p**4 + 16/3*p**3 + 34/3*p**g + 0 + 20/3*p.
2*p*(p + 1)*(p + 2)*(p + 5)/3
Let d = 16/179 + 473/716. Let t(f) be the first derivative of 14 + 3*f**3 + 3/4*f**2 - 3/4*f + d*f**5 + 21/8*f**4. Find s such that t(s) = 0.
-1, 1/5
Let m = 58 + -56. Suppose 0 = 4*d - 3*s - 57, -3*d - s = -m*d - 16. Determine g, given that g + 6*g + d*g**2 + 9 + 3*g**3 + 5*g + 9*g = 0.
-3, -1
Let m(g) be the second derivative of g**4/48 - 95*g**3/24 + 93*g**2/4 - 1038*g. Factor m(i).
(i - 93)*(i - 2)/4
Let x be (4 - 76/21)/(1*(-10)/(-140)). What is n in -40/3*n**2 + 28/3*n**5 + 40/3*n**4 - x*n**3 + 0 - 4*n = 0?
-1, -3/7, 0, 1
Suppose 0*u + 171*u**2 + 0 - 3/4*u**3 = 0. Calculate u.
0, 228
Let r(i) be the second derivative of -i**4/66 + 7*i**3/33 + 30*i**2/11 + 1405*i. Factor r(l).
-2*(l - 10)*(l + 3)/11
Let r(b) = -70*b**2 - 35590*b - 4553015. Let a(w) = -5*w**2 - 2542*w - 325217. Let z(g) = -55*a(g) + 4*r(g). Factor z(n).
-5*(n + 255)**2
Let l be 89 + (-15 - 21) + -49. Factor 14*q**2 + 38/3*q + 6*q**3 + 2/3*q**4 + l.
2*(q + 1)**3*(q + 6)/3
Let z(s) = -14*s**2 - 378*s - 1360. Let d(n) = -9*n**2 - 251*n - 905. Let k(l) = 8*d(l) - 5*z(l). Find y, given that k(y) = 0.
-55, -4
Let 3*f**2 - 3*f**2 + 98*f + 24*f + 80*f + f**2 = 0. Calculate f.
-202, 0
Let m = 31 + -32. Let h be (m - 0) + (-3 - -4). Factor -2*j**5 + h*j**4 - 3*j**5 + 10*j**3 + 5*j**4 + 0*j**4.
-5*j**3*(j - 2)*(j + 1)
Factor 1156*w**2 + 454*w - 584*w**2 - 587*w**2 - 344 + 1064*w + 41.
-3*(w - 101)*(5*w - 1)
Let s = 98798/247145 - -12/49429. Solve -s*n + 2/5*n**2 + 2/5*n**3 - 2/5 = 0.
-1, 1
Let n(g) be the first derivative of -4/15*g**3 - 45 + 1/25*g**5 - 1/30*g**6 + 1/5*g**4 + 0*g**2 + 0*g. Find b such that n(b) = 0.
-2, 0, 1, 2
Let u(h) be the first derivative of -h**6/90 - h**5/15 - h**4/9 - 38*h + 17. Let s(k) be the first derivative of u(k). Factor s(l).
-l**2*(l + 2)**2/3
Let i(l) be the first derivative of l**3/8 + 1275*l**2/8 + 541875*l/8 - 1254. Factor i(y).
3*(y + 425)**2/8
Suppose 22*j - 3*j = -68*j - 3*j. Let q(w) be the third derivative of 0*w**5 + j*w**3 + 7*w**2 + 0*w + 0*w**4 + 0 - 1/120*w**6. Factor q(a).
-a**3
Suppose d = -10*d - 2*d. Suppose d = 9*c - 12 - 6. Find y, given that -2*y**3 + 2*y**5 + 5 - 4*y**4 - 9 + 2*y + 8*y**2 - c*y**3 = 0.
-1, 1, 2
Find r such that -15*r**4 + 3*r**5 + 3300292 - 3300292 + 24*r**3 - 12*r**2 = 0.
0, 1, 2
Let l = 269 - 270. Let k(s) = 3*s**2 + 21*s + 36. Let m(h) = h - 1. Let g(f) = l*k(f) - 9*m(f). Factor g(a).
-3*(a + 1)*(a + 9)
Suppose -28*w + 32*w + 20 = -2*s, 0 = -3*s - 5*w - 24. Solve -25/6*m**3 + 15/2*m**s - 41/6*m**4 + 7/2*m**5 - 2/3 + 2/3*m = 0 for m.
-1, -1/3, 2/7, 1, 2
Solve 74*y**3 - 259*y**2 + 5*y**4 + 45*y**3 + 66*y**2 - 202*y**2 - 500*y - 9*y**3 = 0.
-25, -1, 0, 4
Suppose 5*x - 110 = -3*z - 122, -3*x = 4*z + 16. Factor 0*n - 2/13*n**2 + x.
-2*n**2/13
Let w be ((-71)/(5325/1400))/(-4). Solve 2/3*o**3 + 10/3*o**2 - 26/3*o + w = 0.
-7, 1
Factor -3*l**3 + 52690*l - 2*l**3 - 52325*l - 360*l**2.
-5*l*(l - 1)*(l + 73)
Suppose -12*f - 1 = 5*u - 10*f, -4*u - 2*f = 4. Factor 4/19*r - 6/19*r**2 + 0 + 2/19*r**u.
2*r*(r - 2)*(r - 1)/19
Let v(s) be the first derivative of -3/80*s**5 - 3*s - 23 + 7/8*s**3 + 0*s**2 - 3/8*s**4. Let b(u) be the first derivative of v(u). Factor b(z).
-3*z*(z - 1)*(z + 7)/4
Let h(y) be the third derivative of -y**5/330 - y**4/132 + 4*y**3/11 + 517*y**2 + 1. Let h(n) = 0. What is n?
-4, 3
Let w = 359/2004 + 103/668. Factor -2/3*n - w - 1/3*n**2.
-(n + 1)**2/3
Let w(g) = g**2 + 32*g - 378. Let u be w(11). Suppose -150*o + 131*o = -u. Solve 4/5*b**3 - 2/5*b**o - 2/5*b**4 - 2/5*b + 4/5*b**2 - 2/5 = 0 for b.
-1, 1
Solve 167*k + 22*k**3 + 33*k - 40*k**3 + 71*k**2 + 16*k**3 - 29*k**2 = 0 for k.
-4, 0, 25
Let l(h) be the second derivative of h**6/90 - h**5/30 + 55*h**3/6 + 61*h. Let b(x) be the second derivative of l(x). Find w such that b(w) = 0.
0, 1
Let r(c) = c**3 - 159*c**2 + 303*c + 443. Let s(t) = -5*t**3 + 955*t**2 - 1825*t - 2660. Let f(m) = -25*r(m) - 4*s(m). Factor f(k).
-5*(k - 29)*(k - 3)*(k + 1)
Let r be 1 - 3 - (-2 - 3). Factor -4*i - 7*i**r - 4 - 8*i - 6*i**5 + 5*i**4 - 14*i + 34*i - i**2 + 5*i**5.
-(i - 2)**2*(i - 1)**2*(i + 1)
Let p = 53 + -41. Suppose -p - 17 = -d. Factor -5*a**3 + 7*a + 20*a**2 + 7*a - d*a.
-5*a*(a - 3)*(a - 1)
Let q = 489751/2 + -244871. Suppose 5*k**2 + q*k - 1/2 = 0. What is k?
-1, 1/10
Let u(x) = -3*x**2 - 11*x + 148. Let p be u(-9). Let m(t) be the first derivative of 2/35*t**5 + 5/7*t**2 - 4/7*t - 6 - 1/14*t**p - 2/7*t**3. Solve m(a) = 0.
-2, 1
Let t(o) = 10*o**2 + 16*o - 36. Let x = -334 + 330. Let f(j) = 13*j**2 + 16*j - 37. Let h(a) = x*f(a) + 5*t(a). What is k in h(k) = 0?
4
Let l(c) be the second derivative of -c**5/100 + 3*c**4/10 - 101*c**3/30 + 18*c**2 + 75*c - 7. Find b such that l(b) = 0.
4, 5, 9
Let k = -445648