-y + 41/5*s**2 - 52/5*s + 4/5*s**3 - s**4 = 0. What is s?
-3, -1/5, 2
Solve -111*u + 73/2 + 9/2*u**2 = 0 for u.
1/3, 73/3
Let m = 152 + -135. Solve -3846*l**2 - 36*l**5 + m*l**4 + 3885*l**2 + 3*l - 56*l**4 + 33*l**3 = 0 for l.
-1, -1/12, 0, 1
Let n(f) be the second derivative of f**7/2520 + 49*f**6/720 - 13*f**4/6 + 5*f**2/2 - 99*f. Let w(j) be the third derivative of n(j). Factor w(y).
y*(y + 49)
Let p(d) be the second derivative of -2*d - 1/3*d**3 + 1/5*d**5 + 2/3*d**4 - 1/21*d**7 - 2/15*d**6 + 24 - 2*d**2. Let p(x) = 0. Calculate x.
-2, -1, 1
Let l be (-90)/56*21664/(-16248). Factor -12*m + l*m**2 - 36/7.
3*(m - 6)*(5*m + 2)/7
Let l = 99/52 - -343/52. Let 9/8*v**4 - 21/8*v**3 - 19/4*v**2 - 3 + l*v = 0. Calculate v.
-2, 2/3, 3
Let c(j) be the second derivative of -j**5/20 + 5*j**4/8 + 73*j**2/2 - 3*j - 10. Let s(a) be the first derivative of c(a). Factor s(r).
-3*r*(r - 5)
Suppose 3*y = 2*s + 5, -2*s + 4 + 26 = 4*y. Suppose -5*x + 4 = -3*q, -4*q = -3 - y. Factor 15*z + 18 + 12*z**2 - 3*z**x - 6*z**2.
3*(z + 2)*(z + 3)
Let 9/5*q + 1/5*q**3 + 0 + 6/5*q**2 = 0. Calculate q.
-3, 0
Let n(v) be the third derivative of v**8/110880 - v**7/3960 + v**6/396 - 233*v**5/60 + 2*v**2 + 79*v. Let u(s) be the third derivative of n(s). Factor u(b).
2*(b - 5)*(b - 2)/11
Let f = 341 - 333. Let x(h) be the first derivative of 0*h**2 - f*h + 1 + 2/3*h**3. Factor x(s).
2*(s - 2)*(s + 2)
Let b be (2 + (-28)/7 - 6) + 136/16. Solve p**2 + 0*p + 5/4*p**4 + 0 - b*p**5 + 11/4*p**3 = 0 for p.
-1, -1/2, 0, 4
Let p(v) be the third derivative of v**7/840 + 3*v**6/10 + 413*v**5/80 + 407*v**4/12 + 90*v**3 + 17*v**2 + 77*v. Factor p(a).
(a + 1)*(a + 4)**2*(a + 135)/4
Let g(s) be the first derivative of -2/15*s**3 - 1/5*s**2 - 50 + 12/5*s. Factor g(w).
-2*(w - 2)*(w + 3)/5
Let a be ((-44)/4 + 11)/(-1 - 1). Suppose -11 = -4*u + g, 5*u + 6*g - 7*g - 13 = a. Factor 0 - 5/2*z**3 + 5*z**u - 5/4*z**4 + 10*z.
-5*z*(z - 2)*(z + 2)**2/4
Suppose -165 + 337 = 224*v - 239 - 37. Factor -3*j + 21/8*j**v + 1/2 + 49/8*j**3.
(j + 1)*(7*j - 2)**2/8
Let w(t) be the third derivative of 0*t - 1/270*t**5 - 1/108*t**4 + 4/9*t**3 + 188*t**2 + 0. Solve w(o) = 0 for o.
-4, 3
Let z(y) be the second derivative of y**4/72 + 16*y**3/9 - 65*y**2/12 - 2*y - 571. Factor z(j).
(j - 1)*(j + 65)/6
Let z(k) be the third derivative of k + 0 - 1/15*k**5 + 20/3*k**3 + 22*k**2 + 3/2*k**4. Determine i, given that z(i) = 0.
-1, 10
Let u(c) be the second derivative of -3/2*c**3 - 16*c + 3/2*c**2 + 3/4*c**4 + 2 - 3/20*c**5. Suppose u(v) = 0. What is v?
1
Let c(x) be the first derivative of x**5 - 5*x**4 + 5*x**3/3 + 15*x**2 + 119. Let c(w) = 0. Calculate w.
-1, 0, 2, 3
Factor -4*o - 18*o - 9*o - 17299 + 17254 - o**3 + 13*o**2.
-(o - 9)*(o - 5)*(o + 1)
Let u(i) be the first derivative of -1/12*i**4 + 20/3*i**3 + 1 + 1/75*i**5 + 0*i**2 + 1/900*i**6 + 0*i. Let f(h) be the third derivative of u(h). Factor f(b).
2*(b - 1)*(b + 5)/5
Let m(r) be the second derivative of -r**6/80 + 1773*r**5/40 - 697379*r**4/16 - 699153*r**3/4 - 4198467*r**2/16 + 214*r. Determine c, given that m(c) = 0.
-1, 1183
Let u be ((-8)/1080)/(6/(-12)). Let g(x) be the second derivative of 14*x + 0*x**2 + 0*x**3 + 0 - u*x**6 + 0*x**4 - 1/45*x**5. Determine q so that g(q) = 0.
-1, 0
Suppose 0 = 4*g + 5*o + 3084, 8*g + 1548 = 6*g - 4*o. Let t = 766 + g. Factor -2/5*m - 1/5*m**2 + t.
-m*(m + 2)/5
Let w(p) = -190*p**2 - 215*p + 55. Let q be (-18)/(-72) - 2/(-8) - 111/2. Let c(g) = 8*g - 6 + 4 + 7*g**2 + 0. Let u(k) = q*c(k) - 2*w(k). Factor u(f).
-5*f*(f + 2)
Let f(c) be the third derivative of -c**6/30 - c**5/3 + c**4 - 1349*c**2. Solve f(h) = 0.
-6, 0, 1
Let s(x) = 2*x**3 - 4*x**2 + 3*x - 1. Let y be s(2). Suppose 0*r = -y*r + k + 16, 19 = 5*r - 4*k. Factor -p + 6*p + p**3 - p + 12*p**2 - 10*p**r - 7*p**4.
-p*(p - 1)*(p + 2)*(7*p + 2)
Let i(m) = m**2 + 35*m + 236. Let s(g) = 25*g + 299. Let k be s(-13). Let t be i(k). Factor 2*c**4 - 2/3 - 2*c + 4/3*c**3 - 4/3*c**t + 2/3*c**5.
2*(c - 1)*(c + 1)**4/3
Let i = -1617 + 1624. Let l(d) be the second derivative of 0 + 2/9*d**3 - i*d - 25/72*d**4 - 7/60*d**5 + 1/3*d**2. Solve l(q) = 0.
-2, -2/7, 1/2
Let y be (-15 - -13) + (1 - -1). Factor -13*q - 6 - 6 + q**3 + y*q**3 + 24.
(q - 3)*(q - 1)*(q + 4)
Let g = -102 + 105. Let 49*u**g - 78*u - 931*u**4 + 169*u**3 + 2*u**3 + 4 + 2*u - 722*u**5 + 349*u**2 = 0. Calculate u.
-1, 2/19, 1/2
Let g be (-9)/(-4)*((-32)/6)/(-4). Determine n, given that -137*n**4 + 9*n + 15*n**g - 21*n**2 - 132*n**4 + 266*n**4 = 0.
0, 1, 3
Suppose 4*c - 6*c = 4*p - 18, 0 = -5*c + p + 23. Suppose -2*m - 146 = -c*s, -s + 20 = -2*m - 3*m. Let -5*k**2 + 15/2*k**3 + 20 - s*k = 0. What is k?
-2, 2/3, 2
Let u = -54 - -56. Let d be (40/88)/(u/20). Factor 2/11*i**2 + d + 20/11*i.
2*(i + 5)**2/11
Let m(y) be the third derivative of -y**5/30 + 100*y**4/3 + 1183*y**2. Determine w so that m(w) = 0.
0, 400
Suppose 0 = 2*g - 141 + 137. Let a(h) be the second derivative of 0*h**4 + 0*h**g - 24*h + 2/21*h**7 + 0*h**3 + 0*h**5 + 0 - 2/15*h**6. Factor a(k).
4*k**4*(k - 1)
Suppose -2*m + 98 = -0*m. Let p(j) = 25*j**2 + 25*j**2 + j - m*j**2 + 1. Let z(l) = 7*l**2 + 2*l - 18. Let u(d) = 2*p(d) - z(d). Factor u(s).
-5*(s - 2)*(s + 2)
Let w(v) be the first derivative of -70*v - 45/2*v**2 - 5/3*v**3 + 99. Determine z, given that w(z) = 0.
-7, -2
Suppose -13*f + 8*f = 5*h, -4*f = -3*h - 28. Let t(u) be the second derivative of 2/21*u**3 - 1/42*u**f + 10*u + 0*u**2 + 0. Factor t(z).
-2*z*(z - 2)/7
Let m(b) be the second derivative of -13*b**4/42 + 32*b**3/7 - 5*b**2 - 517*b - 1. Factor m(o).
-2*(o - 7)*(13*o - 5)/7
Suppose -4*p - 5*z = -z - 40, -z = -3*p + 10. Suppose -p*j = 2*j - 14. Factor -1391 + 1391 - 3*v**3 + 3*v**4 - 6*v**j.
3*v**2*(v - 2)*(v + 1)
Suppose -158 - 313 + 249*k - 15 - 3*k**2 = 0. Calculate k.
2, 81
Let n = -536 + 770. Let r be (312/n)/((-2)/((-12)/10)). Suppose -16/5*j**2 + 0 + r*j**3 + 16/5*j = 0. What is j?
0, 2
Let h be 20/6*(3 + (-27)/15). Suppose 0 = -h*x + 4*k + 44, 5*x + 2*k = -2*k + 19. Factor x - 3 - 8*r + 4*r**2 - 9*r.
(r - 4)*(4*r - 1)
Let z = 215 + -212. Determine s, given that 192 - 5*s**4 - 192 + 60*s**z - 180*s**2 = 0.
0, 6
Let n(m) be the third derivative of -m**5/240 - 38*m**4/3 - 46208*m**3/3 + 1928*m**2. Determine f, given that n(f) = 0.
-608
Let f(z) be the first derivative of z**5/30 - 5*z**4/18 - 25*z**3/9 + 125*z**2/3 - 247*z - 73. Let d(k) be the first derivative of f(k). Factor d(x).
2*(x - 5)**2*(x + 5)/3
Let y be 12/28*7 - -4. Suppose -a + 8*u - 13*u = -y, -u - 5 = -3*a. Let -11/2*b**2 - 15/2*b**3 + a + 4*b = 0. Calculate b.
-1, -2/5, 2/3
Let u = -1865 + 1873. Let t be 375/(-100)*u/(-60). Let -7/2*k**2 - t*k**3 - 5/2 - 11/2*k = 0. Calculate k.
-5, -1
Let t(f) be the first derivative of -125/12*f**6 + 0*f + 12 - 135/8*f**4 + 45/2*f**5 + 9/2*f**3 + 0*f**2. Solve t(s) = 0.
0, 3/5
Let a(o) be the first derivative of 3*o**6/14 + 393*o**5/35 + 4203*o**4/28 - 787*o**3/7 - 4752*o**2/7 + 7260*o/7 - 8335. Let a(n) = 0. What is n?
-22, -5/3, 1
Let l be (-76)/(2736/3132)*(-4)/78. Find u, given that -l*u**2 - 6*u - 18/13*u**3 - 36/13 - 2/13*u**4 = 0.
-3, -2, -1
Let l(c) be the second derivative of c**5/8 + 715*c**4/8 + 77745*c**3/4 + 680535*c**2/4 + 2458*c + 1. Factor l(w).
5*(w + 3)*(w + 213)**2/2
Let l(y) be the third derivative of y**8/2856 - 24*y**7/595 + 108*y**6/85 + 2*y**2 - 6*y + 1. Factor l(m).
2*m**3*(m - 36)**2/17
Let p = -292756 + 878269/3. Suppose p*v**2 + 70/3 + 37/3*v = 0. What is v?
-35, -2
Let g(z) be the first derivative of -z**6/21 + 4*z**5/7 + 37*z**4/14 + 52*z**3/21 + 75. Let g(f) = 0. What is f?
-2, -1, 0, 13
Let v be (-2 - 0)*-1 - 45. Let p be -1 + -2 - (1 + v). Factor -p*k**2 + k + 38*k**2 - 3*k.
-k*(k + 2)
Let k(n) be the first derivative of 27 + 1/4*n**3 + 63/8*n**2 - 33/2*n. Find q, given that k(q) = 0.
-22, 1
Let u(f) = -f**4 + 5*f**3 + 3*f**2. Let v = 289 - 292. Let l(d) = -2*d**4 + 6*d**3 + 4*d**2. Let a(r) = v*l(r) + 4*u(r). Determine g so that a(g) = 0.
-1, 0
Suppose -2*x - 5*r + 18 = -10, -3*x = -2*r - 23. Let m be (1*x)/(-2 + (-5)/(-1)). Suppose 11*h**m - 21*h**3 + h**3 - 27*h**4 + 12*h + 24*h**2 = 0. Calculate h.
-2/3, 0, 1
Let t(o) be the first derivative of o**8/6720 - o**7/1120 - o**6/360 - 2*o**3/3 + o + 64. Let d(k) be the third derivative of t(k).