 in -128/5*o**2 - 144/5*o**3 - 2*o**5 - p*o - 64/5*o**4 + 0 = 0?
-2, -2/5, 0
Let a be (-246)/(-15375)*50 + (-896)/(-30). Find o such that a*o + 12*o**3 + 2/3*o**4 + 32*o**2 + 10 = 0.
-15, -1
Let n(i) be the second derivative of -i**6/10 + 117*i**5/20 + 3*i**4/4 - 115*i**3/2 - 117*i**2 + 26*i - 15. Factor n(s).
-3*(s - 39)*(s - 2)*(s + 1)**2
Suppose -5*r = d - 0*d, -5 = 5*r. Suppose -1435 = d*h - 4300. Let 573 + 2*n**2 - h + 10*n = 0. Calculate n.
-5, 0
Let i(y) be the second derivative of 5*y**7/63 + 17*y**6/45 + 7*y**5/10 + 11*y**4/18 + 2*y**3/9 + 1079*y. Solve i(r) = 0.
-1, -2/5, 0
Let d be (-2*10/(-4) + 3)*38/76. Factor -32/5 - 1/5*f**d - 42/5*f**2 - 11/5*f**3 - 64/5*f.
-(f + 1)*(f + 2)*(f + 4)**2/5
Let u(z) be the second derivative of 5*z**7/42 + 8*z**6/3 - 261*z**5/2 - 12190*z**4/3 - 89395*z**3/6 - 21660*z**2 + 3805*z. Determine o, given that u(o) = 0.
-19, -1, 24
Suppose 2/9*h**4 - 320/9 + 694/9*h - 142/3*h**2 + 50/9*h**3 = 0. Calculate h.
-32, 1, 5
Let q(y) = 43*y + 518. Let k be q(-12). Suppose 0 = -k*x - 8*x. Factor 0*h + 4/5*h**2 + 2*h**4 + x + 14/5*h**3.
2*h**2*(h + 1)*(5*h + 2)/5
Let b(l) = l**2 + 27*l + 136. Let x be b(-21). Suppose 4*p**4 - 6*p - 3*p + 408 + 9*p**3 + 6*p**2 - 408 - x*p**4 = 0. What is p?
-1, 0, 1, 3/2
Let s(q) be the third derivative of 0 + 5/24*q**4 - 1/336*q**8 - 1/35*q**7 + 0*q**3 + 0*q - 34*q**2 - 1/30*q**6 + 1/10*q**5. Determine y so that s(y) = 0.
-5, -1, 0, 1
Let g = -382 - -385. Find p, given that 9*p**2 - p**g + 14*p**2 - 16*p**2 = 0.
0, 7
Let y = -189300 - -189300. Determine g so that y + 0*g + 4/7*g**3 + 20*g**2 = 0.
-35, 0
Let y(o) be the second derivative of o**8/10080 + 11*o**7/3780 + o**6/108 + 23*o**4/12 + 33*o. Let j(d) be the third derivative of y(d). Factor j(l).
2*l*(l + 1)*(l + 10)/3
Suppose 259*p = 252*p + 280. Let f be (-4 - (-210)/p)/(1/4). Determine q, given that 0*q + 2/5*q**3 + 2/5*q**2 - 2/5*q**4 + 0 - 2/5*q**f = 0.
-1, 0, 1
Let g = 1025 + -1005. Suppose -3*f - 20 = 3*c - 8, 0 = -3*c - 5*f - g. Determine n, given that 13/2*n**3 + c - 3/2*n**4 - 8*n**2 + 2*n = 0.
0, 1/3, 2
Let y(h) be the second derivative of -h**4/66 - 976*h**3/33 - 238144*h**2/11 + 10728*h. Suppose y(c) = 0. What is c?
-488
Let y = 1/14710 - -2941/14710. Let h(a) be the second derivative of -y*a**2 - 1/50*a**5 + 1/15*a**3 + 0 - 4*a + 1/30*a**4. Let h(g) = 0. What is g?
-1, 1
Let i(h) = 3*h**2 + 4*h + 1. Let j be i(-3). Suppose 7*d - 33 = j. Factor 3*u**4 + 6*u**3 + 0*u**4 - 19*u**3 + d*u**3 - 9*u**2.
3*u**2*(u - 3)*(u + 1)
Find k such that 260 + 386/3*k - 2/3*k**2 = 0.
-2, 195
Let q(r) be the third derivative of 2*r**2 + 5/4*r**4 + 0 - 1/6*r**7 - 2*r + 0*r**3 - 3/4*r**6 - 5/12*r**5. Factor q(g).
-5*g*(g + 1)*(g + 2)*(7*g - 3)
Let h(s) be the first derivative of s**4/22 + 16*s**3/11 + 23*s**2/11 + 70. Factor h(u).
2*u*(u + 1)*(u + 23)/11
Let a(o) = -3*o**3 + 27*o**2 + 74*o + 4. Let m = -813 - -811. Let z(w) = w**3 + w**2 + 2*w + 2. Let x(l) = m*z(l) + a(l). Factor x(i).
-5*i*(i - 7)*(i + 2)
Determine y so that -1512/5 + 74*y + 2/5*y**2 = 0.
-189, 4
Let a(v) be the second derivative of v**5/4 + 515*v**4/12 - 260*v**3/3 - 1348*v. Factor a(d).
5*d*(d - 1)*(d + 104)
Factor -1568/3 + 224*q + 1/3*q**3 + 18*q**2.
(q - 2)*(q + 28)**2/3
Suppose 0 = 2*b + 14, q - 30 = -0*q - 6*b + 10*b. Suppose 368/5 - 1856/5*k - 20*k**3 + 476*k**q = 0. What is k?
2/5, 23
Find v such that 292*v - 11 - 53/4*v**2 = 0.
2/53, 22
Suppose -211*l + 295*l = 252. Let r be (-5)/(1 - (-4)/(-3)). Solve -35/6*g**4 + r - 455/6*g**2 - 55/2*g - 235/6*g**l = 0 for g.
-3, -1, 2/7
What is y in -88/3*y**3 + 0 + 128*y**2 + 4/3*y**4 + 384*y = 0?
-2, 0, 12
Factor -159/4*h - 3/8*h**2 + 81.
-3*(h - 2)*(h + 108)/8
Solve -1137 + 35384*o**2 + 1477 + 81*o - 35385*o**2 = 0.
-4, 85
Let d = 13522 - 13520. Let c(n) be the second derivative of 1/30*n**4 + 0*n**d - 9*n - 4/15*n**3 + 0. Suppose c(o) = 0. Calculate o.
0, 4
Let u = -147179 + 294359/2. Solve u*t**2 + 338 + 26*t = 0 for t.
-26
Suppose -4*o**2 - 75681 + 81081 + 2706*o + 3*o**2 + 4*o**2 = 0. What is o?
-900, -2
Let -1696/7*f**3 - 2/7*f**4 - 480528/7*f**2 - 45805824/7*f - 89703072/7 = 0. What is f?
-282, -2
Let n(b) be the first derivative of 1331/5*b**5 - 32 - 16/5*b - 264/5*b**3 - 242/5*b**4 + 112/5*b**2. Factor n(h).
(5*h + 2)*(11*h - 2)**3/5
Suppose 0 = -r - 5*k + 31, 2*k + k = -5*r + 67. What is u in 95*u**3 - 2447*u**4 + r*u**2 - 66*u**2 + 10*u + 15*u**5 + 2382*u**4 = 0?
0, 1/3, 1, 2
Solve 1/4*a**2 + 0 - 21*a = 0 for a.
0, 84
Factor -2950/3 + 2944/3*s**3 + 8848/3*s - 2948*s**2 + 2/3*s**4.
2*(s - 1)**3*(s + 1475)/3
Let t(b) = b**4 - b**2 - 1. Let g(z) be the second derivative of -4*z**6/15 - z**5/20 + 3*z**4/4 + 7*z**2/2 - 139*z. Let m(v) = 4*g(v) + 28*t(v). Factor m(o).
-4*o**2*(o - 1)*(o + 2)
Let n(c) be the first derivative of c**6/3060 - c**5/204 - c**4/34 + 91*c**3/3 + 98. Let x(p) be the third derivative of n(p). Factor x(o).
2*(o - 6)*(o + 1)/17
Let v be (-3 - -18)*(-16 + (-79)/(-5)). Let s(k) = -k**2 - 2*k - 10. Let z(w) = 6*w**2 + 7 - 4*w**2 + 3. Let t(m) = v*z(m) - 4*s(m). Factor t(r).
-2*(r - 5)*(r + 1)
Let f(y) be the third derivative of -19*y - y**2 - 14/9*y**3 - 19/36*y**4 + 1/30*y**5 + 0. Factor f(n).
2*(n - 7)*(3*n + 2)/3
Suppose 78*f - 90*f + 176400 = 0. Solve -17564*u**3 - 16 - 68186*u**3 - 649*u - 191*u - f*u**2 = 0 for u.
-2/35
Let q(r) be the third derivative of -r**5/480 - 31*r**4/32 - 23*r**3/3 + 1639*r**2. Determine o so that q(o) = 0.
-184, -2
Let v be -2*(-1647)/18 + 5. Let u be v/329 + (-2348)/(-154). Let -42/11*p**3 - u*p**2 - 24/11 - 192/11*p = 0. Calculate p.
-2, -1/7
Suppose v = 5*o - 595, -v + 156 + 82 = 2*o. Suppose o*b - 126*b = 0. Factor 0*y - 2/11*y**4 + 0 + b*y**2 + 6/11*y**3.
-2*y**3*(y - 3)/11
Let l(t) be the first derivative of -t**6/2 + 51*t**5/5 - 273*t**4/4 + 183*t**3 - 162*t**2 - 8. Suppose l(b) = 0. Calculate b.
0, 1, 3, 4, 9
Let l(y) = -4*y**3 - 108*y**2 + 152*y. Let v(k) = 3*k**3 + 73*k**2 - 101*k. Let x(c) = -5*l(c) - 8*v(c). Determine i so that x(i) = 0.
-12, 0, 1
Suppose 71*l = 68*l - 15, -26 = -3*a + 4*l. Factor 3*d**a + d - 7/4*d**4 + 0 - 9/4*d**3.
-d*(d - 1)*(d + 2)*(7*d + 2)/4
Let l(x) be the second derivative of -13/6*x**4 - 1 - 1/10*x**5 - 14*x + 13*x**2 + 1/3*x**3. Factor l(n).
-2*(n - 1)*(n + 1)*(n + 13)
Let x(i) = 6*i**3 - 23*i**2 + 46*i + 72. Let w(c) = 5*c**3 + 3*c**2 + c. Let a(l) = w(l) - x(l). What is r in a(r) = 0?
-1, 3, 24
Suppose -4*m - 6 = -n, -3*n + 4*m = n + 12. Let t be (-3 - 119/(-42)) + (-739)/n. Factor 74*x**2 + 37*x + 32 + 6*x**3 + t*x + 3*x**3.
(x + 4)**2*(9*x + 2)
Let s = 584025/4 + -146005. Suppose z**2 - s - 19/4*z = 0. Calculate z.
-1/4, 5
Let v(g) be the first derivative of -2*g**3/69 - 1824*g**2/23 - 1663488*g/23 - 1117. Factor v(j).
-2*(j + 912)**2/23
Let w(c) be the third derivative of c**8/312 + c**7/273 - c**6/5 + 176*c**5/195 - 64*c**4/39 + 16*c**3/13 - 124*c**2 + 6. Find i, given that w(i) = 0.
-6, 2/7, 1, 2
Let p = 3235 - 16121/5. Let m(v) be the second derivative of -6*v**4 + 54/5*v**3 + 0 - p*v**2 + 13*v + 2/105*v**7 - 22/75*v**6 + 46/25*v**5. Factor m(b).
4*(b - 3)**3*(b - 1)**2/5
Let m(i) be the first derivative of 2*i**3/3 + 673*i**2/2 + 1670*i + 9754. Suppose m(c) = 0. Calculate c.
-334, -5/2
Let o(r) be the second derivative of -r**5/50 + 53*r**4/30 - 52*r**3/15 - 1419*r. Factor o(h).
-2*h*(h - 52)*(h - 1)/5
Let y(x) = -x**4 + x + 1. Let i(u) = 3*u**4 - 241*u**3 + 242*u**3 - 2 - u**2 + u - 4*u. Let r(j) = -5*i(j) - 10*y(j). Factor r(k).
-5*k*(k - 1)*(k + 1)**2
Let r(b) be the second derivative of 2*b**4/3 - 23*b**3 + 17*b**2 - 1029*b - 1. Suppose r(h) = 0. Calculate h.
1/4, 17
Let l(v) = -2*v**3 + 2*v**2 - 1. Let x(w) = -5*w**3 + 61*w**2 + 728*w - 787. Let g = 487 - 489. Let q(o) = g*x(o) + 6*l(o). Determine r so that q(r) = 0.
-28, 1
Let l(n) be the first derivative of n**6/10 + 154*n**5/25 + 222*n**4/5 + 502*n**3/5 + 949*n**2/10 + 36*n - 4835. Let l(v) = 0. Calculate v.
-45, -4, -1, -1/3
Let g(a) = 6*a**5 + 48*a**4 + 101*a**3 - 5*a**2 - 5*a + 10. Let z(v) = -3*v**5 - 24*v**4 - 51*v**3 + 3*v**2 + 3*v - 6. Let i(o) = 3*g(o) + 5*z(o). Factor i(r).
3*r**3*(r + 4)**2
Let z be (((-520)/780)/(2/(-12)))/28. Find p such that -z*p**2 - 19/7*p - 18/7 = 0.
-18, -1
Suppose 0 = -1455*z + 1150 + 1760. Solve -j**4 - 2*j + 0 - 1/3