the second derivative of 0 - 15*o - 8/3*o**2 + 1/9*o**4 + 2/3*o**w. Suppose s(h) = 0. What is h?
-4, 1
Let n(o) be the first derivative of -5*o**4/4 + 260*o**3/3 - 1195*o**2/2 + 940*o - 918. Factor n(f).
-5*(f - 47)*(f - 4)*(f - 1)
Suppose 62*y = 24*y - 9462. Let i = y + 1247/5. Solve -8/5 - i*o**4 - 24/5*o - 26/5*o**2 - 12/5*o**3 = 0.
-2, -1
Solve -55*z + 65*z - 1080*z**2 + 1079*z**2 = 0.
0, 10
Let b(j) = -5*j - 39. Let r be b(-9). Factor -2 - q**2 + r + 0*q**2 + 5*q + 2.
-(q - 6)*(q + 1)
Suppose -26*m - 3 + 57 + 76 = 0. Let g be (-22)/77 + 4/14. Solve 0*k**2 + 0*k**3 - 2/5*k**m + g*k - 2/5*k**4 + 0 = 0 for k.
-1, 0
Let c = -4338 - -4352. Let z(w) be the second derivative of 0*w**2 + 0 - c*w + 0*w**3 - 1/4*w**4 - 5/56*w**7 + 7/40*w**6 + 3/10*w**5. Find o such that z(o) = 0.
-1, 0, 2/5, 2
Suppose 38*d + 229 = 39*d + 5*i, 0 = -3*d - 2*i + 674. Factor -2/7*j**2 + 16*j - d.
-2*(j - 28)**2/7
Solve -175442/5*d**2 + 11422*d**3 - 59168/5 + 176816/5*d + 2/5*d**5 + 682/5*d**4 = 0 for d.
-172, 1
Let z(j) = j**2 + 2*j - 38. Let q be z(-7). Let y be ((-20)/8 + q)*(-2 - 0). Factor -20 + 15 + 18 - 44*p**2 + y + 20*p.
-4*(p - 1)*(11*p + 6)
Let g(y) be the second derivative of -3*y**5/100 + 11*y**4/30 - 5*y**3/6 + 3*y**2/5 - y - 2. Solve g(t) = 0.
1/3, 1, 6
Let y(w) = -2*w**3 + 7*w**2 - 10*w + 10. Let u be y(2). Factor 239*s - 472*s + 4 + s**u + 240*s + 6.
(s + 2)*(s + 5)
Let z(s) be the second derivative of 0*s**3 + 68*s + 0*s**2 - 3/11*s**4 + 1/110*s**5 + 0. Factor z(n).
2*n**2*(n - 18)/11
Let f = -4718 + 4746. Let m(a) be the third derivative of 0 - f*a**2 + 4/21*a**3 + 0*a + 43/210*a**5 + 1/14*a**6 + 1/105*a**7 + 2/7*a**4. Solve m(i) = 0 for i.
-2, -1, -2/7
Let 2/5*b + 2/15*b**2 - 28/3 = 0. What is b?
-10, 7
Suppose -11/2*j**3 + 45/2*j - 67/4*j**2 + 0 - 1/4*j**4 = 0. What is j?
-18, -5, 0, 1
Determine m, given that 518 - 6632*m + 5*m**3 - 95*m**2 + 7032*m - 18 = 0.
-1, 10
Let u(y) be the second derivative of 0 - 13/18*y**4 + 71/18*y**3 + 1/60*y**5 - 23/3*y**2 + 5*y. Factor u(a).
(a - 23)*(a - 2)*(a - 1)/3
Let f(y) = 15*y - 51. Let q be f(3). Let n be ((-5)/(-15))/((-4)/q). Let 1/4*x**4 + 0 - 3/4*x**2 + 0*x + n*x**3 = 0. Calculate x.
-3, 0, 1
Suppose 4*c - 5*s - 155 = 0, 78 = 5*c + 5*s - 127. Factor -71*z**3 + 3*z**3 - c*z**2 + 115*z**4 - 127*z**4.
-4*z**2*(z + 5)*(3*z + 2)
Let d = -511 + 517. Determine z, given that -z**2 + d*z**2 + z**2 + 34*z + 65 - 77 = 0.
-6, 1/3
Let l(r) = -r**2 - 1. Let n(p) = -6*p**2 - 1008*p - 3. Let j(a) = -3*l(a) + n(a). Solve j(s) = 0.
-336, 0
Let m = -1/3036 + -36419/39468. Let o = 63/26 + m. Factor 1/2*z**5 - 6*z - 1/2*z**3 + 2 - o*z**4 + 11/2*z**2.
(z - 2)*(z - 1)**3*(z + 2)/2
Let s(j) = 6*j**2 - 67*j + 17. Suppose 1729 = 6*r + 1663. Let u be s(r). What is v in 21/2*v**4 - 3/2*v**2 - 3*v**3 + 0 - u*v**5 + 0*v = 0?
-1/4, 0, 1
Let y(p) = -2*p**4 - p**2 + p - 1. Let b(k) = 52*k**4 - 360*k**3 - 340*k**2 - 24*k + 24. Let w(c) = b(c) + 24*y(c). Suppose w(s) = 0. Calculate s.
-1, 0, 91
Let q = 1584304/1244793 - 2/113163. Factor q*f**2 + 2/11*f - 32/11*f**4 + 16/11*f**3 + 0.
-2*f*(f - 1)*(4*f + 1)**2/11
Factor -99/7*g + 6/7*g**2 + 3/7*g**3 - 270/7.
3*(g - 6)*(g + 3)*(g + 5)/7
Suppose -28*d + 1466 = 1382. Let o(i) be the third derivative of 0 + 3/16*i**4 - 3/80*i**6 - 1/20*i**5 + 0*i + 1/2*i**d - 33*i**2. Factor o(j).
-3*(j - 1)*(j + 1)*(3*j + 2)/2
Let s = 230/7 + -229/7. Let i(t) be the second derivative of -1/28*t**4 - 8*t - s*t**3 + 0 - 3/14*t**2. Factor i(v).
-3*(v + 1)**2/7
Suppose 1092*r + 759 = 1095*r. Factor 520 - 767*a - 108*a**3 + 3*a**3 - 5*a**4 + 610*a**2 - r*a.
-5*(a - 2)**2*(a - 1)*(a + 26)
Let b be (-50)/(-6)*(-1 + 4). Suppose 2*c = 5*a + 68 + 53, 3*c = 2*a + 165. Determine t, given that -2 + t - b*t**3 + c*t**3 - 29*t**3 + 2*t**2 = 0.
-1, 1, 2
Suppose -5*q = -q + 4*f - 12, -3*f + 3 = 0. Find c, given that 13*c - 18*c + 2*c**3 - 5*c + 8*c**q = 0.
-5, 0, 1
Suppose 20*w + 4452 = 6*w. Let o = 1592/5 + w. Determine g so that o*g**3 + 4/5 + 1/5*g**4 - 3/5*g**2 - 4/5*g = 0.
-2, 1
Let b = 1025272/7 - 146464. Suppose 422/7*h**2 + 18/7*h**5 + b + 176/7*h + 138/7*h**4 + 374/7*h**3 = 0. Calculate h.
-3, -2, -1/3
Let v(h) be the third derivative of -h**6/120 - 5*h**5/4 + 13*h**4 - 158*h**3/3 + 1574*h**2. Determine k, given that v(k) = 0.
-79, 2
Suppose 4*j - 83 = j - k, 5*k = 3*j - 89. Let g be 60/21 + -3 + 88/j. Factor -2/3 + 4/9*l**2 - 8/9*l + 2/9*l**4 + 8/9*l**g.
2*(l - 1)*(l + 1)**2*(l + 3)/9
Find c, given that 1/7*c**4 - 1/7*c - 2/7*c**5 - c**2 + c**3 + 2/7 = 0.
-2, -1/2, 1
Let y = -58 - -68. Let u = -22 + 31. Suppose -5*z**2 + 40*z - u*z**2 - y*z**3 + 5*z**4 - 15*z**2 + 9*z**2 = 0. What is z?
-2, 0, 2
Let p(o) be the second derivative of 4*o - 7 - 6/7*o**2 + 4/21*o**4 + 3/70*o**5 - 5/21*o**3. Let p(q) = 0. Calculate q.
-3, -2/3, 1
Let l = -153 + 156. Determine o so that -1174*o - 48 + 1086*o - 43*o**2 - 15*o**3 + 3*o**l - 8*o**2 - o**4 = 0.
-4, -3, -1
Let j(s) = 26*s**3 + 35*s**2 - 31*s + 6. Let a(p) = 25*p**3 + 32*p**2 - 33*p + 6. Let u(w) = -6*a(w) + 5*j(w). Find t such that u(t) = 0.
-2, 3/20, 1
Let a be 107*((-20)/(-4))/5. Let i = a - 105. Factor 2 - i*x**2 - 99*x + 95*x + 4*x**2.
2*(x - 1)**2
Let d(s) = -2*s**2 - 595*s + 3027. Let v be d(5). Factor -2/11*x**v + 12/11 - 2/11*x.
-2*(x - 2)*(x + 3)/11
Let 220*r - 118*r + 199*r + 55*r - 4*r**3 - 352*r**2 = 0. What is r?
-89, 0, 1
Suppose -2*x + 20 = -20. Let g be (-8)/x - 52/(-5). Factor -18*m**2 + 30*m**3 + 7*m**2 - 5*m + g - 24*m**2.
5*(m - 1)*(2*m + 1)*(3*m - 2)
Let n be 3 + 1 - (-2)/(-1). Suppose -4*d + n*w = -0*d - 232, -d = -3*w - 48. Factor -10 - 10 - 5*q**4 + 120*q**2 - 30*q**3 - d*q - 185*q**2.
-5*(q + 1)**2*(q + 2)**2
Let v(i) be the first derivative of -2*i**2 + 123 - 6/5*i**5 - 4*i**3 - 1/6*i**6 - 13/4*i**4 + 0*i. Find a such that v(a) = 0.
-2, -1, 0
Let z = -3/28894 - -57815/260046. Determine a, given that 4/9*a - z*a**2 + 0 = 0.
0, 2
Suppose 0 = 5*x + 4*n - 43, -3*x - 388*n + 389*n = -2. Factor -6/5*q**2 - 12/5 + 3/5*q**x - 21/5*q.
3*(q - 4)*(q + 1)**2/5
Let j(f) be the first derivative of f**4/16 + 3*f**3 + 30*f**2 + 112*f - 1932. Let j(a) = 0. What is a?
-28, -4
Let d = -308 - -3395/11. Let j = d + 89/33. Factor 0 + 14/3*v**2 + 4/3*v + j*v**3.
2*v*(v + 1)*(5*v + 2)/3
Let b(n) be the second derivative of -12*n + 19/2*n**2 + 1/90*n**5 + 0 + 1/18*n**4 + 1/9*n**3. Let a(j) be the first derivative of b(j). Factor a(m).
2*(m + 1)**2/3
What is j in 2*j**2 + 82*j - 3 + 159*j - 23*j + 3 = 0?
-109, 0
Let o(u) be the third derivative of 1/40*u**5 + 0 + 0*u**3 + 0*u**4 + 1/480*u**6 + 49*u**2 + 0*u. Find i, given that o(i) = 0.
-6, 0
Factor 0 - 32/5*d**3 - 58/5*d - 1/5*d**4 - 89/5*d**2.
-d*(d + 1)*(d + 2)*(d + 29)/5
Let f(p) be the first derivative of -1/48*p**6 + 0*p + 1/5*p**5 - 29 - 5/32*p**4 - 7/12*p**3 + 0*p**2. Let f(l) = 0. Calculate l.
-1, 0, 2, 7
Let w(m) be the first derivative of 40*m + 3*m**5 + 59 - 55/3*m**3 - 25*m**2 + 25/2*m**4. Solve w(h) = 0 for h.
-4, -1, 2/3, 1
Let k(l) = l**2 - 987*l + 7934. Let o be k(8). Find t, given that -156*t**2 - o*t**4 - 12*t**5 - 9/2 - 819/4*t**3 - 183/4*t = 0.
-6, -1, -1/4
Let l = -415/299 + 6859/1495. Find j such that 0 - l*j + 32/5*j**2 - 4*j**3 + 4/5*j**4 = 0.
0, 1, 2
Let x(c) = -19*c + 174. Let y be x(9). Factor 3747*h**y - 1873*h**3 - 24*h - 1876*h**3 - 14*h**2.
-2*h*(h + 3)*(h + 4)
Let o(j) be the second derivative of -j**7/490 - j**6/70 - j**5/35 - 113*j**2 - 113*j. Let v(t) be the first derivative of o(t). Factor v(y).
-3*y**2*(y + 2)**2/7
Let -70*y - 27*y**3 + 39*y**2 - 141*y - 92*y - 124*y**4 - 90 - 306*y**2 + 157*y**4 + 6*y**5 = 0. Calculate y.
-5, -2, -1, -1/2, 3
Let m(x) = 214*x**2 - 194*x**2 - 75 + 590 - 85*x. Let l(d) = -3*d**2 + 0*d**2 + 2*d**2 - 1 - d. Let b(o) = -15*l(o) - m(o). Determine k, given that b(k) = 0.
10
Suppose -857*m + 0 - 2 + 2 = 357*m. Let 0*f**4 + 0*f**2 + m*f + 1/4*f**5 - f**3 + 0 = 0. Calculate f.
-2, 0, 2
Let j = -10866378/7 - -1552340. Determine q so that 160/7*q**3 - 80/7*q**5 + 2/7 - 4/7*q**2 - 80/7*q + j*q**4 = 0.
-1, 1/40, 1
Let d = -8032/3614795 + 6/1849. Let b = d - -1943/11730. Solve -1/2*k + b*k**2 - 2/3 = 0.
-1, 4
Let k be (-28)/(-21) + (-2)/(-3). Let -6*a**3 - 28 - 4 - 26*a**k - 2*a**2 + 4*a**3 + 62*a = 0. Calculate a.
-16, 1
Find r, given that -8614*r - 96228*r**2 - 3993*