= -2107 - -4082. Suppose 4 + 16 + t*x**2 - 1980*x**2 = 0. What is x?
-2, 2
Let p be (-18)/4 - (-48)/52*208/32. Let 0 - p*v**3 - 11/3*v + 101/6*v**2 = 0. What is v?
0, 2/9, 11
Let a(n) be the third derivative of -n**6/12 - 13*n**5/12 + 25*n**4/6 + 875*n**3/6 + 440*n**2. Suppose a(u) = 0. Calculate u.
-5, 7/2
Let q = -102 + 119. Factor -q*g - 29*g**3 + 15 + 12*g**3 + 7*g**3 + 27*g - 15*g**2.
-5*(g - 1)*(g + 1)*(2*g + 3)
Let o = 7537/14 + -7505/14. Solve -o*k**5 + 16/7 + 92/7*k**3 - 76/7*k - 44/7*k**4 + 4*k**2 = 0 for k.
-4, -1, 1/4, 1
Let d = -15059/21 - -15215/21. Suppose 4*y + 0*h - 18 = -3*h, -y = 5*h - 13. Factor 32/7*w**y + 4/7*w**4 + d*w**2 + 0 + 24/7*w.
4*w*(w + 1)**2*(w + 6)/7
Determine q, given that -139/3*q**3 - 55/3*q**4 - 133/3*q**2 + 8/3 - 34/3*q - 7/3*q**5 = 0.
-4, -2, -1, 1/7
Let o = -1031 - -1047. Suppose 10 = 4*f - 5*z - o, -5*f + 18 = z. Factor 0 + 3/2*d**2 - 1/2*d**f + 0*d**3 - d.
-d*(d - 1)**2*(d + 2)/2
Suppose 16/5*g**3 - 164/15*g**2 + 2/15*g**4 - 16/5*g + 54/5 = 0. What is g?
-27, -1, 1, 3
Let f = -126 + 170. Factor -f*d**2 - 37*d**2 + 2*d**3 + 67*d**2 + 20*d.
2*d*(d - 5)*(d - 2)
Suppose 0 = -s - 3*n + 4, -s + 4*n = 4*s - 20. Suppose -4*d + 5*k = -0*d, d - s*k + 11 = 0. Factor 5*b + 6*b**2 - 5*b**3 - 11*b**2 + d*b.
-5*b*(b - 1)*(b + 2)
Let x be ((-12)/28)/(4/(-28)). Suppose 72*r**5 + 75*r**5 - 146*r**5 + 10*r**3 - 5*r**4 - 10*r**2 - x + 2 + 5*r = 0. Calculate r.
1
Let l(c) be the first derivative of 13 - 1/42*c**4 - c - 4/7*c**2 + 5/21*c**3. Let p(a) be the first derivative of l(a). Solve p(f) = 0.
1, 4
Let l(s) be the second derivative of s**6/360 - 3*s**5/40 - 11*s**4/12 - 7*s**3 + 21*s + 2. Let c(n) be the second derivative of l(n). Factor c(i).
(i - 11)*(i + 2)
Let -2501*q**2 - 13*q**4 + 233*q - 64 + 2009*q**2 + 158*q**3 + 255*q = 0. What is q?
2/13, 2, 8
Let s(g) = -9*g**2 - 3*g. Let o = 34 + -32. Let v(w) = -w**2 - o*w - 53 + 52 + w. Let h(u) = s(u) - 6*v(u). Factor h(r).
-3*(r - 2)*(r + 1)
Let s(m) be the third derivative of -4/3*m**3 + 0*m + 2 - 13/72*m**4 + 3*m**2 - 1/360*m**5. Factor s(g).
-(g + 2)*(g + 24)/6
Let l(s) = -2*s**4 - 9*s**3 - 31*s**2 + 3*s + 6. Let k(p) = p**4 + 10*p**3 + 30*p**2 - 2*p - 4. Let z(c) = 3*k(c) + 2*l(c). What is w in z(w) = 0?
-2, 0, 14
Let w(i) be the second derivative of i**6/105 - i**5/35 + 2*i**3/21 - i**2/7 - 1946*i. Factor w(p).
2*(p - 1)**3*(p + 1)/7
Let b be ((-63)/30)/(80/(-42600)). Let y = -1118 + b. Factor 3/4*c - 3/4*c**3 - y*c**4 + 0 + 1/4*c**2.
-c*(c - 1)*(c + 1)*(c + 3)/4
Determine u so that 1299600*u - 131163293 - 4072*u**2 - u**3 + 652*u**2 + 4*u**3 - 33452707 = 0.
380
Suppose -513 = -112*p + 47. Let o(i) be the second derivative of p*i**2 + 2/3*i**3 + 1/30*i**4 - i + 0. Factor o(f).
2*(f + 5)**2/5
Let s(u) = 9*u**3 - u**2 + 90*u - 43. Let y(t) = -11*t**3 + 2*t**2 - 91*t + 34. Let k(h) = -6*s(h) - 5*y(h). Factor k(q).
(q - 11)*(q - 1)*(q + 8)
Let a(v) be the second derivative of -v**4/24 - 343*v**3/2 - 1058841*v**2/4 - 752*v + 1. Factor a(l).
-(l + 1029)**2/2
Suppose -103*v + 142*v = 273. Let t(z) be the third derivative of -1/51*z**4 - 1/255*z**6 - 1/51*z**3 - 1/1785*z**v - z**2 - 1/85*z**5 + 0*z + 0. Factor t(a).
-2*(a + 1)**4/17
Let h be ((-207)/21 - -3)/(112/(-1176)). Let x be (-10)/(-50) - (h/(-15) + 3). Factor -1/4*g**x - 3/8*g - 1/8 + 3/8*g**4 + 1/8*g**5 + 1/4*g**3.
(g - 1)*(g + 1)**4/8
Determine m, given that 4/5*m**4 - 48/5*m**3 - 72/5*m**2 + 1296/5*m + 2916/5 = 0.
-3, 9
Let h(w) be the first derivative of -w**4/6 - 118*w**3/9 - 899*w**2/3 - 1682*w/3 + 375. Factor h(r).
-2*(r + 1)*(r + 29)**2/3
Let i = 3613/3512 + -135/878. Factor 3/2 + i*r**2 - 2*r - 1/8*r**3.
-(r - 3)*(r - 2)**2/8
Let u = -45 + 49. Suppose u*h - 2*b - 8 = 2, 5*h = -2*b + 17. Factor 16*g**4 + 3*g**2 + g**5 - g**h - 2*g**2 - 17*g**4.
g**2*(g - 1)**2*(g + 1)
Suppose -6*n - 2*n + 32 = 0. Factor -4*p**4 - 9*p**3 - p**4 + 81*p + 6*p**4 - 4*p**n + 27*p**2.
-3*p*(p - 3)*(p + 3)**2
Suppose -999 + 971 = -4*i, -4*i + 38 = 5*x. Factor 20/9 + 1/9*b**x - b.
(b - 5)*(b - 4)/9
Let q(j) be the third derivative of -j**5/150 - 23*j**4/60 - 22*j**3/15 + j**2 + 1530. Factor q(b).
-2*(b + 1)*(b + 22)/5
Let r(b) be the third derivative of -22801*b**5/140 + 151*b**4/14 - 2*b**3/7 - 396*b**2. Factor r(q).
-3*(151*q - 2)**2/7
Let c(n) = -n**3 + n**2 + 8*n + 4. Let q be c(-2). Let j(p) be the first derivative of 3/4*p**6 + 0*p**4 + 3/10*p**5 + q*p**3 + 0*p**2 + 14 + 0*p. Factor j(i).
3*i**4*(3*i + 1)/2
Solve -56*d**5 - 48*d**5 - 2*d**3 - 4*d**2 + 146*d**5 + 0*d**2 + 16*d**4 - 52*d**5 = 0 for d.
-2/5, 0, 1
Let i(y) = 138*y - 547. Let x be i(4). Let a(u) be the second derivative of -3*u**2 - 11/6*u**3 - 1/3*u**4 + 0 + x*u. Factor a(s).
-(s + 2)*(4*s + 3)
Let z = 543 + -2714/5. Let i be (30/25)/(6/15). Determine r so that 0 + 1/5*r**5 + z*r**i + 0*r**2 + 2/5*r**4 + 0*r = 0.
-1, 0
Determine t, given that -1/8*t**4 + 9/4*t**3 - 13/8*t**2 + 17/2 - 9*t = 0.
-2, 1, 2, 17
Let c(m) be the second derivative of -m**6/105 + 17*m**5/35 + 23*m**4/42 - 2116*m**3/7 + 2*m + 272. Suppose c(x) = 0. What is x?
-12, 0, 23
Suppose 0 = 485*g - 477*g - 16. Factor -67*o + 42*o + 7 + 5*o**g + 13.
5*(o - 4)*(o - 1)
Factor -358/5*d - 2/5*d**3 - 488/5 + 128/5*d**2.
-2*(d - 61)*(d - 4)*(d + 1)/5
Let b(a) be the third derivative of a**8/1680 - a**7/105 + a**6/36 + 2*a**5/5 - 13*a**4/8 - 104*a**2. Let f(o) be the second derivative of b(o). Factor f(y).
4*(y - 4)*(y - 3)*(y + 1)
Let t(n) = 37*n**2 + 13174*n + 14612751. Let p(q) = 13*q**2 + 4390*q + 4870921. Let x(j) = 17*p(j) - 6*t(j). Let x(u) = 0. What is u?
-2207
Let a = -131584/3 - -43863. Let 5 + 10/3*l**3 - 20/3*l**2 + a*l**4 - 10/3*l = 0. What is l?
-3, -1, 1
Let c(r) be the second derivative of r**7/70 + r**6/50 - 3*r**5/100 - r**4/20 + 4715*r. Factor c(f).
3*f**2*(f - 1)*(f + 1)**2/5
Let i(f) = -5*f**2 - 25*f - 25. Suppose 38*v = -5*v + 172. Let t(m) = -5*m**2 - 27*m - 26. Let b(w) = v*i(w) - 5*t(w). Factor b(u).
5*(u + 1)*(u + 6)
Let t be 35/4*11/((-1155)/(-120)). Factor 10 + t*a + 5/2*a**2.
5*(a + 2)**2/2
Let o(f) = -1414*f - 5651. Let n be o(-4). Let -4/7*v**3 - 2/7 + v - 6/7*v**2 + 8/7*v**4 - 3/7*v**n = 0. What is v?
-1, 2/3, 1
Factor 62518070952 - 103595760*d - 5*d**3 + 7705*d**2 + 20483*d**2 + 28231814808 + 11232*d**2.
-5*(d - 2628)**3
Let s = -4459 + 4459. Let g(c) be the third derivative of 1/2*c**4 - 1/30*c**6 + 7*c**2 + 0*c - 4/3*c**3 + 0 + s*c**5. Factor g(f).
-4*(f - 1)**2*(f + 2)
Suppose -2*o + 16 = -1820*d + 1816*d, 5*o + 5*d = -5. Factor -2/7*h + 2/7*h**o - 4/7.
2*(h - 2)*(h + 1)/7
Let u(g) be the second derivative of -g**6/70 - 13*g**5/70 - 27*g**4/28 - 18*g**3/7 - 6*g**2 - 229*g. Let x(d) be the first derivative of u(d). Factor x(t).
-6*(t + 2)*(t + 3)*(2*t + 3)/7
Let b be -11 + 371/35 - ((-679)/(-1140) + -1). Let h(k) be the third derivative of -3/380*k**6 + 0*k**3 + 1/95*k**5 + 0 + 0*k - 6*k**2 - b*k**4. Factor h(r).
-2*r*(3*r - 1)**2/19
Let p(j) = -12*j**2 - 8 + 0*j + 0*j**2 + 0*j. Suppose 12*k - 13*k = 5. Let d(f) = 8*f**2 + 5. Let c(b) = k*p(b) - 8*d(b). Solve c(v) = 0 for v.
0
Let f(u) be the third derivative of 2*u**7/21 - 127*u**6/5 + 299*u**5/15 + 127*u**4 - 608*u**3/3 - 11719*u**2. Suppose f(m) = 0. Calculate m.
-1, 2/5, 1, 152
Let u(b) be the third derivative of b**7/70 + 3*b**6/20 - 11*b**5/20 - 3*b**4 + 14*b**3 + 1985*b**2. Determine l so that u(l) = 0.
-7, -2, 1, 2
Find i such that -6/5*i**2 - 378/5 + 1136/5*i = 0.
1/3, 189
Let q(g) be the first derivative of 3*g**4/4 - 12732*g**3/5 + 24323211*g**2/10 - 9723174*g/5 - 5391. Determine u, given that q(u) = 0.
2/5, 1273
Let n(z) be the first derivative of 40/9*z**2 - 17/45*z**5 - 79/36*z**4 + 64/9*z - 1/54*z**6 - 225 - 47/27*z**3. Solve n(q) = 0.
-8, -1, 1
Let f(x) be the first derivative of x**4/18 - 482*x**3/27 + 14152*x**2/9 + 29768*x/3 - 1015. Factor f(s).
2*(s - 122)**2*(s + 3)/9
Suppose -60 = -19*o + 13*o. Factor -116 + o*x**2 + 118 - x - 11*x**2.
-(x - 1)*(x + 2)
Let c(g) be the first derivative of 145*g**3/12 + 5*g**2/8 - 75*g/2 + 8092. Factor c(b).
5*(b - 1)*(29*b + 30)/4
Let s = -463418 + 463607. Factor -s - 3/7*u**2 + 18*u.
-3*(u - 21)**2/7
Let b(k) = 220*k**3 + 1384*k**2 + 560*k + 52. Let n(v) = 221*v**3 + 1385*v**2 + 572*v + 53. Let p(t) = 5*b(t) - 4*n(t). Factor p(w).
4*(w + 6)*(6*w + 1)*(9*w + 2)
L