 -1, 5*y = 0. Let z be (-102)/27 - (d + -3). Factor 0 - 2/9*x**2 - z*x.
-2*x*(x + 1)/9
Let b = 195264 - 195260. Find k such that -10/3*k**3 + 10/3*k + 1/3*k**2 - 1/3*k**b + 0 = 0.
-10, -1, 0, 1
Suppose -81*f - 1354*f + 2872 = f. Factor 3/5*r**f - 9/5 + 6/5*r.
3*(r - 1)*(r + 3)/5
Let n(g) be the first derivative of -5*g**4/16 + 5*g**3/2 + 65*g**2/8 - 105*g/2 + 101. Factor n(f).
-5*(f - 7)*(f - 2)*(f + 3)/4
Let o(u) be the third derivative of -u**7/630 + 7*u**6/15 - 1763*u**5/45 - 28*u**4/3 + 1568*u**3 - 298*u**2 + 7*u. Determine t, given that o(t) = 0.
-2, 2, 84
Let z(y) be the first derivative of -y**5/55 - 3*y**4/11 - 7*y**3/11 - 5*y**2/11 - 11370. Factor z(p).
-p*(p + 1)**2*(p + 10)/11
Let z(n) = -16*n**2 - 719*n - 110 + 1291*n - 644*n. Let u(f) = -f**3 + f**2 + 2. Let y(m) = u(m) + z(m). Factor y(l).
-(l + 3)*(l + 6)**2
Let d(v) be the third derivative of 23/270*v**5 + 1/540*v**6 - 2*v**2 - 4/27*v**3 + 1/216*v**8 - 4 - 19/945*v**7 - 2/27*v**4 + 0*v. Suppose d(z) = 0. What is z?
-1, -2/7, 1, 2
Let x(t) = -2*t**3 - 2124*t**2 + 16*t + 16. Let s(y) = -y**3 - 1214*y**2 + 9*y + 9. Let j(d) = 16*s(d) - 9*x(d). Solve j(p) = 0 for p.
0, 154
Let j(g) be the first derivative of -1/3*g**3 + 7*g - 32 - 3*g**2. Factor j(n).
-(n - 1)*(n + 7)
Let v(q) be the second derivative of q**5/150 - q**4/30 - q**3/5 + 32*q**2 + q + 34. Let z(i) be the first derivative of v(i). Factor z(p).
2*(p - 3)*(p + 1)/5
Let u(c) = 7*c + 73. Let g be -10*2/(4/2). Let a be u(g). Factor -3/7*i**a + 3/7*i - 6/7 + 6/7*i**2.
-3*(i - 2)*(i - 1)*(i + 1)/7
Let n(b) be the second derivative of 0 - 2/15*b**3 + 2/5*b**2 - 7/20*b**4 + 1/15*b**6 + 11/100*b**5 + 15*b. Find k, given that n(k) = 0.
-2, -1/2, 2/5, 1
Suppose -5*j - 3*c = -9, -c + 12 + 1 = 5*j. What is t in 0*t**3 - 3*t - t**j + 0*t**3 - 4 - 5 + 5*t**2 = 0?
-1, 3
Let u be 18569/(-1198) + 1*19. Let o(g) be the second derivative of -3/5*g**5 + 0 + 0*g**2 + 13*g - 27/4*g**4 + u*g**3. Solve o(n) = 0.
-7, 0, 1/4
Let m = -133 - -203. Determine c, given that 4*c**2 - 9 + 2*c + 0*c**2 + m*c + 77 = 0.
-17, -1
Determine l, given that -56*l**3 + 308*l**2 + 504 - 190200*l**4 - 4*l**3 + 190204*l**4 - 660*l = 0.
2, 3, 7
Factor -13/2*o**2 + 17*o + 24 + 1/2*o**3.
(o - 8)*(o - 6)*(o + 1)/2
Let c = 6600 - 13191/2. Let u(z) be the first derivative of c*z**2 + 243/4*z**4 - 13 - 1/3*z - 27*z**3. Factor u(a).
(9*a - 1)**3/3
Factor 10000/7 + 45400/7*f + 18/7*f**3 + 1804/7*f**2.
2*(f + 50)**2*(9*f + 2)/7
Let c = -67/6 - -37/3. Suppose 6270*j + 138 = 6339*j. Find b such that c*b**j + 1/6*b**3 + 2 + 8/3*b = 0.
-3, -2
Let g = 19 - 13. Suppose 8*x - 5*u = g*x + 5, -x - 4*u - 4 = 0. Factor 1/2*o**4 - 3/2*o**2 - o + 0 + x*o**3.
o*(o - 2)*(o + 1)**2/2
Let s = 1294 - 11632/9. Let b(m) be the second derivative of s*m**4 + 18*m - 17/9*m**3 - 13/30*m**5 + 2/3*m**2 + 0. Let b(l) = 0. What is l?
2/13, 1
Let v = 76 + 10. Solve -55*c**4 + 25*c**2 - v*c**4 - 540*c**5 + 5*c - 89*c**4 - 175*c**4 - 45*c**3 = 0.
-1/3, 0, 1/4
Let k(w) be the second derivative of -w**4/90 - 4*w**3/45 - 4*w**2/15 - 846*w + 3. Factor k(m).
-2*(m + 2)**2/15
Let u(p) be the second derivative of 0 - 32*p - 30/7*p**2 - 58/21*p**3 + 1/35*p**5 - 13/21*p**4. Factor u(j).
4*(j - 15)*(j + 1)**2/7
Find z, given that -5/2*z**4 + 5/2*z**2 + 5/2*z**3 + 0 - 5/2*z = 0.
-1, 0, 1
Let l(k) be the first derivative of k**6/60 - 77*k**5/50 - 237*k**4/40 - 239*k**3/30 - 4*k**2 + 4926. Factor l(m).
m*(m - 80)*(m + 1)**3/10
Suppose -9*o + 3*o = 4*o. Suppose 29*c - 34*c + 30 = o. Suppose 4*x**2 + 8*x**3 - 8*x**4 - c*x**3 + 12*x**5 - 14*x**3 + 4*x**2 = 0. What is x?
-1, 0, 2/3, 1
Let t(k) = -k**2 + 33*k + 67. Let y be t(35). Let h(d) = -3*d**3 + 10*d**2 - 17*d + 12. Let c(o) = -o**3 + o**2 + 1. Let v(m) = y*h(m) + 6*c(m). Solve v(f) = 0.
1, 2, 5
Factor -4850*k - 486*k - 3555*k + 9030675 - 1062*k - 457*k + 3*k**2.
3*(k - 1735)**2
What is t in -10/9*t**4 - 16124/9*t**2 + 784 - 274/3*t**3 + 10696/3*t = 0?
-42, -1/5, 2
Let v = 70933 - 70930. Let -2/5*p**v - 2/5*p**2 + 0*p + 0 = 0. What is p?
-1, 0
Let m be 0 + (-3)/(4/((-36)/(-3))). Let n(p) = -p**2 - 13*p - 18. Let r be n(m). Factor -6*a**4 + 9*a + r + 24*a**2 + 21*a - 12*a**3 + 2*a**5 + 12*a - 4*a**2.
2*(a - 3)**2*(a + 1)**3
Factor -50*u**2 + 3283*u**3 - 3298*u**3 + 50*u - 10*u.
-5*u*(u + 4)*(3*u - 2)
Let n(s) be the second derivative of s**4/6 - 245*s**3/3 - 246*s**2 - 339*s. Let n(d) = 0. Calculate d.
-1, 246
Determine l, given that 13/5*l**2 - 9*l + 1/5*l**4 - 10 + 9/5*l**3 = 0.
-5, -1, 2
Let h(v) be the first derivative of 5*v**3/3 - 50*v**2 - 105*v - 1683. Factor h(m).
5*(m - 21)*(m + 1)
Suppose 15*v - 4 = 19*v. Let w be (2 + v)/(1 + 3/(-6)). Let k**w - 8*k + 21*k - 12 - 11*k + k**2 = 0. Calculate k.
-3, 2
Let f(y) = -y**4 + 108*y**3 - 219*y**2 - 28*y + 332. Let s(a) = a**4 - 72*a**3 + 147*a**2 + 19*a - 221. Let r(d) = -5*f(d) - 8*s(d). Find u such that r(u) = 0.
-1, 2, 9
Let m(y) be the third derivative of -3/560*y**8 + 0*y**3 + 1/50*y**6 + 0 - 2*y**2 + 0*y**4 - 73*y + 11/350*y**7 + 0*y**5. Find t, given that m(t) = 0.
-1/3, 0, 4
Let x be (-1 - (-5)/2)/(62 + 2726/(-58)). Suppose -x*b**2 + 24/5*b - 288/5 = 0. What is b?
24
Find o such that 80/3 - 2/3*o**2 + 53*o = 0.
-1/2, 80
Let b = 397408/71055 + 100/14211. Suppose -196/5 - b*z + 6/5*z**3 - 9/5*z**4 + 83/5*z**2 = 0. Calculate z.
-2, 7/3
Let j(s) be the third derivative of s**8/1008 + 4*s**7/15 + 83*s**6/90 - s**5/90 - 37*s**4/8 - 83*s**3/9 - 119*s**2 + 1. Solve j(f) = 0 for f.
-166, -1, 1
Let y(r) be the first derivative of 15*r**4/4 + 1319*r**3/2 - 201*r**2/2 - 396*r - 4716. Suppose y(h) = 0. Calculate h.
-132, -2/5, 1/2
Let -5/6*d + 4/3*d**2 - 1/6*d**3 - 7/3 = 0. What is d?
-1, 2, 7
Let n be (420/(-945))/((-1)/6). Let r(p) be the first derivative of 1/3*p**4 - n*p**2 - 9 + 0*p**3 + 0*p. Factor r(u).
4*u*(u - 2)*(u + 2)/3
Let h be (-36)/(-42) - 100/(-14) - (6 - 1). Factor 0*p**2 + 0 + 0*p - 3*p**h - 15/4*p**5 - 9*p**4.
-3*p**3*(p + 2)*(5*p + 2)/4
Let o(i) = -i**2 + i - 59. Let n(f) = 3*f**2 + 912*f + 354. Let s(z) = -n(z) - 6*o(z). Factor s(d).
3*d*(d - 306)
Find q, given that -9*q**2 + 4255*q - 2135 - 2122 - 1003*q - 211 + 148 = 0.
4/3, 360
Let t(c) be the second derivative of 1/6*c**2 + 139*c + 1/90*c**6 + 0 + 0*c**3 - 1/18*c**4 + 0*c**5. Factor t(z).
(z - 1)**2*(z + 1)**2/3
Let n = 57 + -55. Suppose 4*a**4 + 22*a**n + 2*a**2 - 8*a**2 - 14*a**3 - 2*a**3 = 0. What is a?
0, 2
Let m = -1376 + 1375. Let d be -1 + -5 + (m - -10). Factor 0 - 4/11*w - 2/11*w**2 + 2/11*w**d.
2*w*(w - 2)*(w + 1)/11
Let v(q) = -17314*q - q**2 + 49 + 17322*q + 4*q**2. Let h be v(-7). Find w such that -48/5 - h*w**2 - 64*w - 100*w**3 = 0.
-3/5, -2/5
Let l(d) be the third derivative of -d**7/315 - 53*d**6/720 - 53*d**5/360 + 43*d**4/72 + 2*d**3/3 - 2101*d**2. Find g, given that l(g) = 0.
-12, -2, -1/4, 1
Let i be 22/4 - (((-30)/8)/((-360)/(-1296)) + 14). Determine u, given that -704/17*u**2 + 224/17*u**3 + 2/17*u**i - 512/17 + 1024/17*u - 2*u**4 = 0.
1, 4
Suppose 15*n - 330 = 10*n. Let i = -46 + n. Determine j, given that 4*j - 5*j**2 - i - 2*j + 5*j + 13*j = 0.
2
Let s = 3184204/3 + -1061400. Factor 0 + 2/3*a**2 - s*a.
2*a*(a - 2)/3
Suppose -3*t + 2*f = -0*f - 10, 5*t - 22 = -2*f. Suppose -4*k**5 - 71*k**4 - k**2 + 4*k**3 + 79*k**t - 7*k**2 = 0. Calculate k.
-1, 0, 1, 2
Let x = -2/62681 - -15168820/564129. Let h(q) be the first derivative of 11*q**2 - 9 - x*q + 1/18*q**4 + 14/9*q**3. Let h(y) = 0. Calculate y.
-11, 1
Suppose 0 + 42/5*k**3 - 48/5*k**2 - 88/5*k + 2/5*k**4 = 0. Calculate k.
-22, -1, 0, 2
Suppose -3 = 5*y + 12. Let i be (y/2 + -2)*30/(-35). Factor -9/4 - 3*t**i + 3/2*t + 15/4*t**2.
-3*(t - 1)**2*(4*t + 3)/4
Find x such that -226/11*x + 10*x**2 + 114/11 + 2/11*x**3 = 0.
-57, 1
Suppose 0 = -462358*y + 462339*y + 57. Let 3/5*t**2 - 18/5 - y*t = 0. Calculate t.
-1, 6
Let o(y) = y - 2. Let l be o(4). Let u be (7/(63/(-18)))/(-3). Suppose -1/3 - 1/3*j**l + u*j = 0. What is j?
1
Let o = -953 - -957. Let g be (288/84)/(33*o/126). Factor 6/11*d**3 + 30/11*d + 0 + g*d**2.
6*d*(d + 1)*(d + 5)/11
Let t = 634/1673 - -6463/5019. Let -7/3*m**2 + 1/3*m**4 - 5/3*m + 2 + t*m**3 = 0. What is m?
-6, -1, 1
Let p(h) be the second derivative of 0*h**3 + 2/273*h**7 + 6/65*h**5 + 3/65*h**6 + 0 - 49*h + 0*h**2 + 2/39*h**4. Factor p(n).
2*n**2*(n +