7*d**2 + 10*d**4 + 234/7*d**3 - 2/7*d**5 = 0.
-3, -2, 1, 38
Let j(p) = p**2 + 3*p - 61. Let n be j(-10). Suppose 0 = 3*k + 7*u - 4*u - 12, n = 2*k + 3*u. Let 0 + 0*g + g**2 - 3/2*g**k = 0. What is g?
0, 2/3
Let s be 7690/(-3076)*44/(-10). Suppose 29/3*p**2 - s*p**3 - 3 - 40/3*p**4 + 17/3*p - 4/3*p**5 = 0. What is p?
-9, -1, 1/2
Let d(z) be the first derivative of z**4/6 + 206*z**3/9 + 2600*z**2/3 - 5408*z/3 - 665. Factor d(o).
2*(o - 1)*(o + 52)**2/3
Let s(q) be the third derivative of -q**5/420 - 109*q**4/84 - 31*q**3/6 - 2174*q**2. Factor s(h).
-(h + 1)*(h + 217)/7
Let u(c) be the third derivative of -c**6/24 + 35*c**5/3 - 2065*c**4/24 + 685*c**3/3 - 5*c**2 - 113. Determine g so that u(g) = 0.
1, 2, 137
Determine o so that -31*o + 7849 + 2135 - 542*o - 21*o**2 + 3*o**3 + 93*o - 36*o**2 = 0.
-13, 16
Let q(l) be the second derivative of -105*l + 0 - 320/3*l**3 + 5/12*l**4 + 10240*l**2. Factor q(w).
5*(w - 64)**2
Let p(r) = r**2 - r. Let b(j) = -2*j**2 - 20 + 57*j - 5*j**2 - 123*j + 48*j. Suppose -5 = -2*d - 1. Let n(k) = d*p(k) + b(k). Factor n(f).
-5*(f + 2)**2
Let g be (24/(-18))/(-2)*(10 + 35/(-14)). Factor -2/7*s**g + 0 - 64/7*s**2 - 64/7*s**3 - 20/7*s**4 + 0*s.
-2*s**2*(s + 2)*(s + 4)**2/7
Let a = 17/2 + -7. Let l be (7 - 9) + -8 - ((-176)/11 + 4). What is i in 0*i + i**4 + 0 - a*i**5 + i**l + 7/2*i**3 = 0?
-1, -1/3, 0, 2
Let i(r) be the third derivative of -r**5/210 + r**3/21 + 3*r**2 - 31. Determine v, given that i(v) = 0.
-1, 1
Factor 4036*r**2 + 39*r**3 - 11*r**4 - 4117*r**2 + 12*r**4 + 41*r.
r*(r - 1)**2*(r + 41)
Let c = 128612 - 257169/2. Determine g, given that -185*g**3 - 125*g**4 + 1 - c*g - 120*g**2 - 63/2*g**5 = 0.
-1, 2/63
Let y = -662 - -986. Factor -310*x**2 + 5*x**3 + y*x**2 - 53*x + 7 + 3.
(x - 2)*(x + 5)*(5*x - 1)
Factor 552*z + 713 + 1159 + 10*z**2 - 2*z**3 + 18*z**2.
-2*(z - 26)*(z + 6)**2
Let 732*n**3 - 193*n**3 + 31205*n - 790*n**2 - 188*n**3 - 150*n**3 - 196*n**3 = 0. What is n?
0, 79
Let l be (14 - (-20192)/(-1440))/((-2)/6). Let d(j) be the second derivative of 0 - 1/27*j**3 + 31*j + 0*j**2 - 5/54*j**4 + l*j**5. Factor d(c).
2*c*(c - 1)*(6*c + 1)/9
Factor -4/5*r**3 + 616/5*r - 768/5 - 108/5*r**2.
-4*(r - 3)*(r - 2)*(r + 32)/5
Let w = 2603 + -2601. Let h(a) be the first derivative of -48/5*a - 48/5*a**w - 24/5*a**3 - 3/25*a**5 - 6/5*a**4 - 14. Find y, given that h(y) = 0.
-2
Solve -1/5*s**4 - 3/5*s**3 + 15*s + 10 + 23/5*s**2 = 0.
-5, -2, -1, 5
Factor 240/13*g - 2/13*g**2 - 7200/13.
-2*(g - 60)**2/13
Let o(b) = -4*b**2 + 167*b + 1320. Let s(k) = 11*k**2 - 333*k - 2640. Let i(u) = 7*o(u) + 3*s(u). Factor i(v).
5*(v + 12)*(v + 22)
Factor 300*t**3 + 3546*t**4 - 497*t**2 - 162*t**2 - 3549*t**4 - 493*t**2.
-3*t**2*(t - 96)*(t - 4)
Solve 0 + 182/9*x**4 - 1012/9*x**3 - 472/9*x**2 - 16/3*x = 0 for x.
-2/7, -2/13, 0, 6
Let d(u) be the first derivative of 81/14*u**2 - 134 + 6*u - 44/7*u**3 + 9/28*u**4. Find y, given that d(y) = 0.
-1/3, 1, 14
Find j, given that -13*j**3 - 843*j - 1095*j**2 + 180*j**2 + 8*j**3 - 75*j + 8*j**3 = 0.
-1, 0, 306
Factor 6*y + 221*y + y**2 + 133*y - 4*y**2.
-3*y*(y - 120)
Let l = 137127 + -137125. Let 6/7*y**2 - 20/7 - l*y = 0. What is y?
-1, 10/3
Let m(r) be the second derivative of r**5/90 + 11*r**4/9 + 305*r**3/27 - 39*r - 60. Factor m(y).
2*y*(y + 5)*(y + 61)/9
Suppose 4*p = -g + 23, g - 2 = p + 2*p. Suppose g*s**2 + 813*s - 8*s**4 - 3*s**2 - 809*s - 4*s**5 = 0. Calculate s.
-1, 0, 1
Factor -33/2*f - 3/4*f**2 - 63/4.
-3*(f + 1)*(f + 21)/4
What is w in 217/3*w**2 + 145/6*w - 1/2*w**3 + 0 = 0?
-1/3, 0, 145
Suppose -41 = 3*w + 532. Let s = w + 1529/8. Factor -s*g + 1/2 + 1/8*g**3 - 1/2*g**2.
(g - 4)*(g - 1)*(g + 1)/8
Find b such that -2506/3*b - 2/3*b**3 - 920 + 84*b**2 = 0.
-1, 12, 115
Suppose -1514 = -5*i - 1484. Suppose 8*s = 12*s, -2*x = 4*s - i. Factor -2 - 867/2*q**2 - 51*q - 4913/4*q**x.
-(17*q + 2)**3/4
Suppose 0 = 17*k + 77 + 25. Let d be (-55)/(-60)*5 + k/(-8). Factor 8/3 - 2/3*x**3 - d*x + 10/3*x**2.
-2*(x - 2)**2*(x - 1)/3
Let v(c) be the third derivative of c**11/166320 + c**10/75600 - 3*c**5/2 + 2*c**2 + 8. Let f(l) be the third derivative of v(l). Factor f(i).
2*i**4*(i + 1)
Factor 5/4*y + 3/2 + 1/4*y**2.
(y + 2)*(y + 3)/4
Suppose 2*z - 3*z = -22. Suppose z*j - 3 = 21*j. Factor -3*m**4 - 27*m - 19*m**2 + 44*m**2 + 15*m**j - 34*m**2.
-3*m*(m - 3)**2*(m + 1)
Let y(v) be the second derivative of v**6/90 + 79*v**5/30 + 2027*v**4/12 - 6320*v**3/9 + 3200*v**2/3 + 2667*v. Find p such that y(p) = 0.
-80, 1
Factor -1/4*n**3 - 149/2*n**2 + 599/4*n - 75.
-(n - 1)**2*(n + 300)/4
Let g = 90 + -289. Let d = g - -401/2. Factor -d*s**4 + 0*s**3 + 3*s + 0 + 9/2*s**2.
-3*s*(s - 2)*(s + 1)**2/2
Let n(f) = 8*f - 75. Let c be n(11). Factor 5*g**3 + 178*g + 115*g**2 + 70 - c*g + 10 - 25*g**2.
5*(g + 1)**2*(g + 16)
Suppose -57*i + 54*i + 4*r - 29 = 0, 5*i + 3*r = 0. Let s be (-4)/(-16) + i*(-4)/144. Factor s*f**2 - 4/3 + 0*f.
(f - 2)*(f + 2)/3
Let l be 2/1 - (-378)/(-2 + -12). Let b be 10/l + -1 + 2 + 1. Solve -6/5*z - b + 2/5*z**2 = 0 for z.
-1, 4
Suppose 801 = 5*q + 2*z + 793, q - 5*z = 34. Let n(f) be the first derivative of 25 + 1/22*f**q + 2/11*f**3 + 10/11*f - 9/11*f**2. Factor n(d).
2*(d - 1)**2*(d + 5)/11
Let n(z) = 2*z**2 - 2*z - 2. Let r(i) = -9*i**2 + 54*i + 84. Let w(p) = 6*n(p) + r(p). Factor w(h).
3*(h + 2)*(h + 12)
Let c(u) be the second derivative of u**4/60 - 439*u**3/15 - 879*u**2/10 - 5570*u. Solve c(a) = 0 for a.
-1, 879
Let i(q) be the first derivative of 28*q**2 - 36*q**3 + 12*q**4 + 4/5*q**5 + 0*q + 54. What is n in i(n) = 0?
-14, 0, 1
Let g(w) be the second derivative of -145*w - 2/5*w**6 + 19/2*w**3 - 81/20*w**5 + 9*w**2 + 0 + 1/2*w**4 + 2/7*w**7. Find y, given that g(y) = 0.
-2, -1/2, 1, 3
Let t = -55 + 51. Let g be t/6 + ((-385)/(-15))/7. Determine v so that 31*v**3 + 25*v**3 - 52*v**g + 2*v**4 = 0.
-2, 0
Solve -32 + 248/5*a + 4/5*a**3 - 92/5*a**2 = 0 for a.
1, 2, 20
Let g(l) be the third derivative of -l**6/240 - 137*l**5/15 + 2195*l**4/48 - 183*l**3/2 + l**2 - 107*l + 18. Solve g(o) = 0 for o.
-1098, 1
Let c = -4604 - -253222/55. Let t(o) be the first derivative of 6 - 3/11*o**4 + 8/11*o**3 + c*o**5 - 10/11*o**2 + 6/11*o. Factor t(i).
2*(i - 3)*(i - 1)**3/11
Let c = -2386567031/4641120 - 1/515680. Let w = c + 516. Suppose 2/9*i**4 + 8/9*i - 10/9*i**3 - w + 4/3*i**2 = 0. Calculate i.
-1, 2
Let l be (3/4)/((-12)/(-32)). Factor -2*w**2 - w**4 - 2788*w**3 + 3*w + l + w**2 + 2785*w**3.
-(w - 1)*(w + 1)**2*(w + 2)
Let p be (-462)/21 - -7 - -38. Let z(l) be the second derivative of 4/3*l**4 - 2*l**2 + 0 + 2*l**3 + p*l. Solve z(x) = 0 for x.
-1, 1/4
Let s(k) = 15*k**2 + 34*k - 13. Let o(g) = 1 - 2479*g + 2480*g - 2 + 0. Let u(t) = 5*o(t) + s(t). What is r in u(r) = 0?
-3, 2/5
Suppose 13249 = 38*u - 1001. Let t be ((-10)/(-4))/(-5 + u/45). What is q in -t*q + 1/4*q**2 + 1/2 = 0?
1, 2
Let p(c) be the third derivative of -c**5/12 - 805*c**4/24 - 265*c**3 + 53*c**2 + 10. Factor p(q).
-5*(q + 2)*(q + 159)
Let v = 1961 - 2116. Let n be 16/(-14) - v/7. Determine j, given that -180/7*j - 24/7 - n*j**3 - 54*j**2 = 0.
-2, -2/7
Let d(q) = 2*q + 120. Let v be d(-4). Let n be 2*1/18*1008/v. Factor -17/2*l - 15*l**2 - n.
-(5*l + 2)*(6*l + 1)/2
What is f in 3/2*f**2 + 50602347/2 - 12321*f = 0?
4107
Let w = -14367 - -14373. Let x(h) be the first derivative of 1/24*h**w + h**3 - 1/5*h**5 + 39 + 0*h - 1/8*h**4 + 9/8*h**2. Factor x(z).
z*(z - 3)**2*(z + 1)**2/4
Let r be (-13 - (-4340)/336)/(8/(-10816)). What is b in -r - 2/3*b**2 + 52/3*b = 0?
13
Let o = 11 + 1. Let w be 2/((-3)/(-6)*(-16)/(-20)). Factor o*u**2 - 11 - w*u - u - 13 + 25 - 8*u**3.
-(2*u - 1)**3
Let u(r) be the second derivative of r**5/4 + 215*r**4/24 - 115*r**3/12 - 55*r**2/2 - 40*r + 97. Factor u(l).
5*(l - 1)*(l + 22)*(2*l + 1)/2
Let p(k) be the first derivative of k**7/1890 + 11*k**6/135 + 121*k**5/30 + 5*k**3/3 + 27*k**2/2 + 217. Let x(c) be the third derivative of p(c). Factor x(j).
4*j*(j + 33)**2/9
Let g(l) = -12*l**2 + 50*l + 46. Let x(z) = -z**2 - z + 1. Let a be (1/1)/(36 - 37). Let v(m) = a*g(m) + 6*x(m). Factor v(s).
2*(s - 10)*(3*s + 2)
Suppose 16/3 - z**2 - 1/6*z**3 + 0*z = 0. What is z?
-4, 2
Let w(d) be the third derivative of -1/120*d**5 + 1/6*d**4 - 49*d**2 + 0 - 7/12*d**3 + 0*d. Factor w(k).
-(k - 7)*(k - 1)/2
Let x