*2 - 3958*z**2 + 8*z - 6*z**3.
-4*(z - 1)*(z + 1)*(2*z - 1)
Let -2/11*a**3 + 0 - 3512/11*a**2 - 1541768/11*a = 0. What is a?
-878, 0
Let n(z) be the third derivative of 0 + 5/63*z**4 - 100/63*z**3 + 0*z - 1/630*z**5 + 27*z**2. Suppose n(y) = 0. What is y?
10
Suppose -2*n = 39 - 49, -3*f = 3*n - 21. Suppose 0*p + p - 6 = f*d, -p = 4*d. Find a, given that -6/7 - 15/7*a - 9/7*a**2 + 3/7*a**3 + 3/7*a**p = 0.
-1, 2
Suppose 3 = -14*y + 11*y. Let v be (y/3)/(-10 - (-774)/81). Solve -1/4 + 3/4*s**4 + v*s - 1/2*s**3 - 1/4*s**5 - 1/2*s**2 = 0.
-1, 1
Let i be -1 - 8*(3 + (-19)/4). Suppose 9*c - i - 5 = 0. Determine m, given that -15*m**c - 7*m + 45*m**4 + 52*m**4 - 3*m - 92*m**4 = 0.
-1, 0, 2
Suppose 2/5*d**3 + 172/5 - 172/5*d**2 - 2/5*d = 0. Calculate d.
-1, 1, 86
Let p(u) be the second derivative of 1/230*u**5 - 1/69*u**3 + 63*u + 0 + 2/23*u**2 - 1/69*u**4. Let p(i) = 0. What is i?
-1, 1, 2
Let v = 1185 + -1182. Let g(s) be the first derivative of 15*s + 35*s**2 - 11 + 245/9*s**v. Factor g(o).
5*(7*o + 3)**2/3
Let w(r) be the second derivative of -8/9*r**3 - 2/9*r**4 + 1/15*r**5 - 2*r + 16/3*r**2 + 0. Factor w(p).
4*(p - 2)**2*(p + 2)/3
Let k = 15498 - 15493. Let u(d) be the first derivative of -2/55*d**k - 1/11*d**4 + 0*d**3 - 17 + 2/11*d**2 + 2/11*d. Factor u(v).
-2*(v - 1)*(v + 1)**3/11
Let v = 1094 - 1222. Let f = v + 128. Factor f*r - 28/5*r**4 + 8/5*r**3 + 0 + 0*r**2.
-4*r**3*(7*r - 2)/5
Factor 25/3*s**3 - 35/3*s**4 + 5*s**5 - 5/3*s**2 + 0*s + 0.
5*s**2*(s - 1)**2*(3*s - 1)/3
Let l(v) = -v**2 - 20*v - 34. Let t be l(-7). Suppose 83*c**3 + 41*c**2 - 4*c**5 - 264*c**2 + 31*c**2 + 104*c - 24*c + t*c**3 - 24*c**4 = 0. What is c?
-10, 0, 1, 2
Let j(t) = -4*t + 326. Let c be j(50). Factor -131*z**4 + c*z**2 + 18*z + 42*z**3 + 140*z**4 - 75*z**2.
3*z*(z + 1)*(z + 3)*(3*z + 2)
Solve 20/9*c**4 + 76/9*c**3 - 52/9 + 32/9*c**2 - 2/9*c**5 - 74/9*c = 0.
-2, -1, 1, 13
Let m be 11/(-4) + (-1)/((-12)/(-3)). Let v be m/(-2)*(-4)/(-3). Determine p, given that -58*p**2 - 58*p**2 - 5 + 121*p**v = 0.
-1, 1
Let d(f) be the third derivative of -17/420*f**7 - 1/168*f**8 + 0*f + 5/12*f**4 + 1/3*f**3 + 45*f**2 + 13/120*f**5 + 1 - 1/15*f**6. Solve d(x) = 0 for x.
-2, -1, -1/4, 1
Solve -36/5*d + 17/5*d**4 + 32/5 + 69/10*d**3 - 49/5*d**2 + 3/10*d**5 = 0.
-8, -4, -1, 2/3, 1
Let z be ((-18)/(-12))/((-4)/(-8)). Let -4 + 78*r - 23 - z*r**3 + 117*r**2 + 15*r**3 = 0. What is r?
-9, -1, 1/4
Suppose 289264*o = 289092*o. Factor r**3 - 3*r - 1/2*r**4 + o + 5/2*r**2.
-r*(r - 3)*(r - 1)*(r + 2)/2
Let d be (-805)/(-1225) + ((-2)/(-14) - 0). Let p = -11/20 + d. Factor 1 - k + p*k**2.
(k - 2)**2/4
Determine o, given that 77 + 53 - 142 + 63*o**3 + 99*o - 30*o**4 + 204*o**2 = 0.
-1, 1/10, 4
Let d be 0 + 1 - (8 - 12). Let n(a) = -a**3 + 4*a**2 + 7*a - 6. Let p be n(d). Factor -20*x**5 - 15*x**3 + 49*x**4 + 42*x**4 - 126*x**p.
-5*x**3*(x + 1)*(4*x + 3)
Suppose -8*s + 40 = -16. Suppose 45 = 8*y + s*y. Factor -4*k**y + 0*k**3 + 0*k**2 + 4*k**4 - 4*k**2 + 0*k**3 + 4*k**5.
4*k**2*(k - 1)*(k + 1)**2
Let d = -3/27419 + 109691/137095. Suppose 32/5*c - 24/5*c**2 + 0 + d*c**3 = 0. What is c?
0, 2, 4
Let k(v) be the second derivative of -v**4/24 + 19*v**3/6 - 357*v**2/4 + 3878*v - 2. Determine w so that k(w) = 0.
17, 21
Let c = -688 + 689. Let g(v) = 5*v**3. Let w(d) = -171*d**3 - 1484*d**2 - 800*d - 112. Let k(j) = c*w(j) - 5*g(j). What is x in k(x) = 0?
-7, -2/7
Suppose 126/5*d**4 + 202/5*d + 513/5*d**2 + 461/5*d**3 + 24/5 = 0. What is d?
-2, -1, -4/9, -3/14
Let n = -349 - -384. Let c be (25 - n)*(-16)/70. Solve -4/7*p**2 - c*p + 0 = 0 for p.
-4, 0
Let t(v) = -7*v**3 + 46*v**2 - 14*v - 57. Let d be t(6). Factor -768 + 576*y - 112*y**2 + 76/9*y**d - 2/9*y**4.
-2*(y - 12)**3*(y - 2)/9
Suppose 0 = k - 0 - 3. Let f be (0 + -9)*(56/(-18) - -3). Factor 2*j**k - 3 + j - f - 2*j - 5*j.
2*(j - 2)*(j + 1)**2
Let 4488*q**2 + 1394*q**3 + 1495*q**3 + 4496*q - 1401*q**3 + 1500 - 4*q**4 = 0. What is q?
-1, 375
Let k = 865 + -785. Suppose -10*f - 30*f + k = 0. Find t, given that 32/11*t + 128/11 + 2/11*t**f = 0.
-8
Let v(c) be the first derivative of 1/15*c**6 - 16/15*c**3 - 162 + 4/25*c**5 + 12/5*c - 3/5*c**4 + c**2. Solve v(p) = 0 for p.
-3, -1, 1, 2
Let f(x) be the third derivative of x**6/120 + 11*x**5/3 + 3025*x**4/6 - 2*x**2 + 120*x. Factor f(u).
u*(u + 110)**2
Let q(r) = 24*r**2 - 54*r + 10. Let g(w) = -2*w**2 + w - 1. Let l be (-1)/(6/(-24)*4). Let h(z) = l*q(z) + 10*g(z). What is p in h(p) = 0?
0, 11
Let h be (-7)/3*(2783/(-161) - -16). Let a(u) be the second derivative of -5/4*u**5 - 5*u**4 + 0*u**2 + 0 - 10/3*u**h - 19*u. Factor a(b).
-5*b*(b + 2)*(5*b + 2)
Let d = -46 + 532. Let n be d/(-54) - (-31)/3. Factor 1/3*p**4 + 2/3*p**3 - 2/3*p - n*p**2 + 1.
(p - 1)**2*(p + 1)*(p + 3)/3
Factor 73*i**3 - 833604*i**2 + i**4 + 98 - 73*i - 17 + 833529*i**2 - 7.
(i - 1)**2*(i + 1)*(i + 74)
Let x = -1118566 - -1118568. Factor -36*p**x + 0 + 48/5*p**3 + 216/5*p - 4/5*p**4.
-4*p*(p - 6)*(p - 3)**2/5
Let r(o) = 20*o**2 - 354*o - 737. Let y(f) = 7*f**2 - 118*f - 246. Let m(k) = 6*r(k) - 17*y(k). Solve m(b) = 0.
-2, 120
Let r(z) = -2*z - 20. Let f be r(-7). Let l(t) = 12*t**2 + 103*t + 85. Let v(d) = 3*d**2 + 26*d + 21. Let a(s) = f*l(s) + 26*v(s). Factor a(p).
2*(p + 9)*(3*p + 2)
Let u be (-48)/(-22) - (-45 + 5964/132). Suppose 3*f - 7*f = -12. Solve 8/7*x + 24/7*x**u - 2*x**f + 0 = 0.
-2/7, 0, 2
Let k(f) be the second derivative of -f**6/75 - 297*f**5/50 - 10801*f**4/15 + 4460*f**3 - 9000*f**2 - 507*f. Determine n, given that k(n) = 0.
-150, 1, 2
Let x(i) = i**3 + 14*i**2 + 12*i + 1. Let v be x(-13). Suppose 3*l + 25 = 4*k + 5, 2*l + v = 3*k. Find y, given that 2/13*y**3 + 0 - 2/13*y**k + 0*y = 0.
0, 1
Factor 0 + 16*b + 5/2*b**4 + 1/2*b**5 - 16*b**2 - 3*b**3.
b*(b - 2)*(b - 1)*(b + 4)**2/2
Let n(l) be the third derivative of -l**5/480 + 1469*l**4/96 - 2157961*l**3/48 + 36*l**2 - 16*l. Find b, given that n(b) = 0.
1469
Let y = 324 + -304. Suppose -90 = -35*m - y. Suppose -16/7 + 270/7*j**3 - 556/7*j**m - 184/7*j + 1944/7*j**4 - 1458/7*j**5 = 0. What is j?
-2/9, 1
Find o, given that 150*o**3 - 2/3*o**5 + 3160/9*o**2 + 96 + 176/9*o**4 + 952/3*o = 0.
-3, -2, -1, -2/3, 36
Let f be (-2)/(-17) + (384/51)/4. Factor -1198*o - 2640*o**f - 6*o**3 - 5*o**4 - 1222*o - 219*o**3.
-5*o*(o + 1)*(o + 22)**2
Let m(n) = -39*n**3 + 189*n**2 + 396*n. Let v(d) = 6*d**3 - d. Let p(i) = m(i) + 6*v(i). Suppose p(k) = 0. Calculate k.
-2, 0, 65
Let q(p) = p**3 - 4*p**2 - 6*p + 1. Let f be q(5). Let o be ((-168)/75)/(f/10) + -5. Find l, given that -o + 6/5*l**3 - 1/5*l**5 + 1/5*l**4 + 2/5*l**2 - l = 0.
-1, 1, 3
Let r(s) = 20*s**4 - 135*s**3 - 195*s**2 + 12935*s + 13005. Let o(w) = -w**4 + w**3 - w**2 - w. Let l(f) = -15*o(f) - r(f). Factor l(i).
-5*(i - 17)**2*(i + 1)*(i + 9)
Let v(u) be the first derivative of u**4/20 + 34*u**3/3 - u**2/10 - 34*u + 673. Suppose v(z) = 0. What is z?
-170, -1, 1
Let j(k) be the second derivative of k**7/270 - 5*k**6/27 + 14*k**5/45 + k**4/6 - 5*k**2/2 + 3*k - 4. Let a(u) be the third derivative of j(u). Factor a(n).
4*(n - 14)*(7*n - 2)/3
Suppose -4*n + 5*n - 3 = 0. Suppose 4*c - 11 = -r, r = 4*c - 2 - n. Find u such that u**c - 16*u - u**2 - 20 + 0*u**2 + 4*u**2 = 0.
-1, 5
Let a = 346 + -346. Let g be (-245)/15 - (-10 + -7). Find w such that -2/3*w**5 + a*w**2 + 0 - g*w + 4/3*w**3 + 0*w**4 = 0.
-1, 0, 1
Suppose -13702*z**3 - 1904*z + 14850*z**3 - 196*z**4 - 100*z**2 - 340*z**2 - 480 = 0. Calculate z.
-6/7, -2/7, 2, 5
Let g(u) = -7*u**4 + u**3 - 7*u**2 - 5*u. Suppose -i - 9 = -4. Let h(b) = 4*b**4 - b**3 + 4*b**2 + 3*b. Let c(p) = i*h(p) - 3*g(p). Let c(s) = 0. Calculate s.
-1, 0
Let f(b) be the second derivative of -b**4/42 - 88*b**3/21 - 255*b**2/7 - 39*b + 28. Find l such that f(l) = 0.
-85, -3
Let p(y) be the third derivative of 43*y**2 + 0*y**3 + 0*y**5 + 1/200*y**6 + 0 + 0*y + 0*y**4. Determine h, given that p(h) = 0.
0
Factor -13144*z - 18622622 - 5*z**2 - 1711*z - 39245398 - 6744*z - 12421*z.
-5*(z + 3402)**2
Let l(b) be the second derivative of -b**9/45360 + b**8/5040 - b**7/1890 - 67*b**4/12 - 2*b. Let g(d) be the third derivative of l(d). Factor g(h).
-h**2*(h - 2)**2/3
Let x(r) = 10*r**2 - 7*r - 1. Let g(y) = 1. Let z(d) = -g(d) - x(d). Let u(s) = -3*s**2 + 2*s. Let l(b) = -7*u(b) + 2*z(b). What is j i