36, 0, 2
Let c = 80 + -78. Suppose -85 = -l + w, -425 = 2*l - 7*l + c*w. Factor 2*n**3 - l*n**4 - 2*n + 1 + 45*n**4 + 39*n**4.
-(n - 1)**3*(n + 1)
Let z(d) = 11*d**2 + 1726*d + 147920. Let t(r) = -13*r**2 - 1728*r - 147920. Let y(f) = -3*t(f) - 4*z(f). Let y(h) = 0. What is h?
-172
Let v(t) be the third derivative of t**5/20 + 807*t**4/8 + 805*t**3 + 113*t**2 + 5*t - 3. Determine n, given that v(n) = 0.
-805, -2
Let o(z) be the first derivative of -z**6 + 34*z**5/5 + 33*z**4/2 - 22*z**3 - 14*z**2 - 1024. Determine j, given that o(j) = 0.
-2, -1/3, 0, 1, 7
Let c be (-5782)/(-177) + -30 - (608/15)/(-1). Let -108/5*x - 324/5 - 4*x**4 + 4/5*x**5 - 24/5*x**3 + c*x**2 = 0. What is x?
-3, -1, 3
Suppose 0 = -191*v + 114 - 32 + 491. Factor 90*z + 108 - 69/4*z**2 + 3/4*z**v.
3*(z - 12)**2*(z + 1)/4
Suppose -4*x = 3*t - 149, 4*t - 20*x - 232 = -17*x. Suppose 0 = -t*q - 35 + 255. Solve 0*y**3 + 9/7*y**5 + 0*y**2 - 3/7*y**q + 0 + 0*y = 0 for y.
0, 1/3
Factor 66*z**2 - 1/3*z**3 - 20000/3 - 3200*z.
-(z - 100)**2*(z + 2)/3
Let j(n) be the first derivative of n**6/1440 + 13*n**5/480 - 4*n**3/3 - 3*n + 38. Let k(h) be the third derivative of j(h). Factor k(r).
r*(r + 13)/4
Let k(m) be the second derivative of 15*m**2 - 1/4*m**4 + 0 + 60*m + 9/2*m**3. Factor k(j).
-3*(j - 10)*(j + 1)
Let v(k) be the first derivative of 16*k**2 + 26*k**4 + 0*k - 280 + 10/9*k**6 - 304/9*k**3 - 44/5*k**5. Factor v(m).
4*m*(m - 2)**3*(5*m - 3)/3
Let c be 1/(-1 - (18/(-24) + 1))*-18. Let g(p) be the first derivative of 16 - 2/15*p**3 - c*p + 12/5*p**2. Find n such that g(n) = 0.
6
Factor 846/5 + 1694/5*d + 2/5*d**3 + 170*d**2.
2*(d + 1)**2*(d + 423)/5
Let l be 4 + 4 - 2139/279. Factor -l*q**2 - 31/3*q + 0.
-q*(q + 31)/3
Let x(l) be the second derivative of 5/6*l**4 - 5*l**2 - 1/3*l**3 - 212*l + 0 + 1/10*l**5. Factor x(b).
2*(b - 1)*(b + 1)*(b + 5)
Let k = -270/1229 - -15139/7374. What is r in 3/2*r**2 - 5/3 - k*r + 1/6*r**4 + 11/6*r**3 = 0?
-10, -1, 1
Suppose -3*v - 68 = 2*n - 32, 5*v = -2*n - 36. Let -1/2*r**3 + 0 + 1/4*r**2 + v*r + 1/4*r**4 = 0. What is r?
0, 1
Let o(g) be the third derivative of -g**8/504 - 17*g**7/315 + 31*g**6/36 - 7*g**5/2 - 3*g**4/2 + 48*g**3 + g**2 - g + 473. Suppose o(r) = 0. What is r?
-24, -1, 2, 3
Let o(m) be the third derivative of -1/240*m**6 + 105*m - 7/96*m**4 + 0 - 1/12*m**3 + 1/420*m**7 + 1/1344*m**8 - m**2 - 1/30*m**5. Factor o(i).
(i - 2)*(i + 1)**4/4
Factor -1084/11 - 538/11*f + 2/11*f**2.
2*(f - 271)*(f + 2)/11
Let f(x) = -55*x**2 - 588*x + 1528. Let i(z) = -645*z**2 - 7055*z + 18335. Let t(y) = -35*f(y) + 3*i(y). Let t(g) = 0. Calculate g.
-61, 5/2
Determine g, given that 52*g - 602801*g**3 + 4*g**4 + 56*g**2 - 3*g**4 + 602818*g**3 = 0.
-13, -2, 0
Let s(y) be the first derivative of -y**5/5 - 15*y**4/2 - 244*y**3/3 - 84*y**2 + 1568*y + 3126. Determine v, given that s(v) = 0.
-14, -4, 2
Let l = -11734854 - -35861718409/3056. Let k = l - 1/3056. Let 3*q**3 + 0*q - k*q**2 + 0 = 0. What is q?
0, 1/2
Let p(a) be the third derivative of 36*a**2 + 0*a - 1/90*a**5 + 0 + 1/180*a**6 + 0*a**3 - 1/18*a**4. Factor p(i).
2*i*(i - 2)*(i + 1)/3
Suppose k = b + 4, 111*k - 119*k + 24 = -4*b. Let -26/17 + 26/17*x**k + 2/17*x - 2/17*x**3 = 0. What is x?
-1, 1, 13
Let s = 3311458/9 - 367936. Let -2/9*y**4 + 40/9 + 0*y**3 + s*y**2 + 8*y = 0. What is y?
-2, -1, 5
Let c(x) = -2*x**2 - 3*x - 5. Suppose -4*z + 10 = -2*i + 12, 8 = 4*z. Let w(o) = -3*o**2 - 5*o - 7. Let q(a) = i*w(a) - 7*c(a). Find m, given that q(m) = 0.
-4, 0
Solve -343*q**3 + 715*q**3 + 161*q**2 - 12*q**4 - 268*q**3 - 273 + 315*q**2 - 15 + 72*q = 0.
-3, -1, 2/3, 12
Let m(z) be the first derivative of -3*z**4/8 + 340*z**3 + 6216. Suppose m(t) = 0. Calculate t.
0, 680
Let f(h) be the third derivative of 1/4*h**5 + 0 - 1/2*h**4 + 1/8*h**6 + 16*h**2 - 1/112*h**8 + 0*h - 1/70*h**7 - 2*h**3. Let f(q) = 0. What is q?
-2, -1, 1, 2
Let l be 25336/(-168)*-3 + (-12)/28. Let a = 2713/6 - l. Factor 1/6*h**3 + 0*h + 0 + 0*h**2 + 1/3*h**4 + a*h**5.
h**3*(h + 1)**2/6
Suppose 25 = x - 3*n - 39, 25 = -5*n. Let v = x - 46. Factor -19*r**3 + 12*r**4 - 11*r**v + 16*r**5 + 26*r**3.
4*r**3*(r + 1)*(4*r - 1)
Let d(q) be the third derivative of 0 - 32/245*q**7 + 0*q**3 - 7*q**2 - 1/1176*q**8 - 9216/35*q**5 + 0*q - 288/35*q**6 - 27648/7*q**4. Factor d(b).
-2*b*(b + 24)**4/7
Let x(m) be the first derivative of m**6/18 + m**5/15 - 91*m**4/6 + 1330*m**3/9 - 3275*m**2/6 + 2125*m/3 - 12503. Suppose x(t) = 0. What is t?
-17, 1, 5
Solve -10916/3*g**2 + 2/3*g**5 + 3648 - 1538/3*g**3 + 512*g - 28/3*g**4 = 0.
-12, -1, 1, 38
Let a(z) be the first derivative of z**6/3 + 156*z**5/5 + 2027*z**4/2 + 34996*z**3/3 - 2028*z**2 - 35152*z - 268. Solve a(y) = 0.
-26, -1, 1
Let t(f) = f**3 + 7*f**2 - 10*f - 4. Let w be t(-8). Let j be (5 + -19)/(0 - 2). Factor -3*o**2 + 7*o - 36 - j*o + 2*o**2 + w*o.
-(o - 6)**2
Find i, given that -1441*i**2 + 624*i**2 + 2633*i - 668*i - 225 + 687*i**2 = 0.
3/26, 15
Let c(l) = 128*l**2 + 5824*l - 2119947. Let a(g) = -35*g**2 - 1456*g + 529987. Let y(p) = 22*a(p) + 6*c(p). Solve y(s) = 0 for s.
728
Suppose 36/7*n - 3/7*n**2 - 96/7 = 0. Calculate n.
4, 8
Find t such that 36/7 - 10/7*t**2 - 86/7*t = 0.
-9, 2/5
Let n(j) be the second derivative of -j**4 - 17300*j**3/3 - 5766*j**2 - 10954*j. Determine t so that n(t) = 0.
-2883, -1/3
Let z be (-2625)/(-450) + 2/12. Let m(u) = u**2 - 14*u + 50. Let k be m(z). Factor 3*g**k + 3/2*g**3 + 3/8 + 15/8*g.
3*(g + 1)*(2*g + 1)**2/8
Factor -2/5*y**5 - 248/5*y**4 - 9056/5*y**3 - 401408/5 - 86144/5*y**2 - 315392/5*y.
-2*(y + 4)**3*(y + 56)**2/5
Let u(a) = -a. Let b(d) = -3*d + 21. Let q(c) = 2*b(c) - 2*u(c). Let x be q(10). Find f, given that -16*f - 4 + 0 - x + 22*f**2 = 0.
-3/11, 1
Let m = -30/29 - -237/145. Let n be (-6 + 348/60)/((-1)/27). Determine j, given that 12/5 - n*j - m*j**3 + 18/5*j**2 = 0.
1, 4
Let c = 27678 + -27678. Let x(n) be the first derivative of c*n**2 + 2/5*n**5 - 36 + 0*n + 1/3*n**3 + 3/4*n**4. Factor x(o).
o**2*(o + 1)*(2*o + 1)
Let n(y) = -2*y - 3. Let o(s) = 2*s**2 - 76*s + 514. Let m(q) = 2*n(q) - o(q). Solve m(x) = 0 for x.
10, 26
Factor -2/9 + 632/9*f - 49928/9*f**2.
-2*(158*f - 1)**2/9
Suppose 702*n + 387*n = 403*n - 437*n. Factor 3/7*y + n*y**2 - 1/7*y**3 - 2/7.
-(y - 1)**2*(y + 2)/7
Let x(q) be the third derivative of 1/280*q**7 - 1/80*q**6 - 55*q**2 + 0 + 1/80*q**5 + 0*q**3 + 0*q + 0*q**4. Find m such that x(m) = 0.
0, 1
Let 107269*l**2 + 90 - 54*l - 214539*l**2 + 234 + 107272*l**2 = 0. Calculate l.
9, 18
Let y(x) = 34*x - 27. Let q be y(1). Factor 189*i + 286 - 44*i - 66 + 50 - 2*i**2 + q*i**2.
5*(i + 2)*(i + 27)
Let m be 3/(-6) + 21/2. Suppose -3*a = -16 + m. Find b, given that 6*b**3 + 2*b + 2*b**3 - 10*b**a - 6*b**4 + 4*b**4 + 2*b = 0.
0, 1, 2
Let j = -5842 - -5842. Let f(x) be the first derivative of j*x - 8/21*x**3 - 1/14*x**4 + 10 - 3/7*x**2. Factor f(g).
-2*g*(g + 1)*(g + 3)/7
Let k be 1 + 1498/(-21) + 1/3. Let i = 77 + k. Factor -140 + 140 - i*o + o**2.
o*(o - 7)
Suppose -539328/5*u - 1/5*u**3 - 1272/5*u**2 - 76225024/5 = 0. What is u?
-424
Let u(a) be the third derivative of 1/270*a**6 + 1/6*a**3 + 0 - 8*a**2 + 1/18*a**4 + 0*a + 1/36*a**5. Let r(v) be the first derivative of u(v). Factor r(o).
2*(o + 2)*(2*o + 1)/3
Let l(f) = 2*f**4 - 9*f**3 - f**2 + 1. Let t(p) = -22*p**4 + 50*p**3 + 306*p**2 - 416*p - 10. Let c(y) = -10*l(y) - t(y). Find v such that c(v) = 0.
-26, 0, 2, 4
Solve 69*f - 36 - 40*f**2 + 25/4*f**3 = 0.
6/5, 4
Let i(a) be the third derivative of 2209*a**6/40 + 94*a**5/5 + 2*a**4 + 156*a**2. Find q such that i(q) = 0.
-4/47, 0
Let v(k) be the second derivative of -243*k**6/40 + 486*k**5/5 + 1152*k**4 + 13312*k**3/3 + 8192*k**2 - 7190*k. Factor v(s).
-(s - 16)*(9*s + 16)**3/4
Let w(h) = h**3 + 98*h**2 - 1446*h - 331. Let d be w(-111). Factor 4/11*g**d + 0 + 1/11*g**3 + 0*g.
g**2*(g + 4)/11
Let a = 2/48713 - -48473/5845560. Let p(c) be the third derivative of -2/3*c**3 + 3*c**2 + 1/6*c**4 + 0*c + 1/60*c**5 + 0 - a*c**6. Solve p(f) = 0.
-2, 1, 2
Suppose 6*f + 4 + 2 = 0. Let r be 1/f - (23 + -27). Factor 0 + 5/4*g**4 - 5*g - 25/4*g**r + 10*g**2.
5*g*(g - 2)**2*(g - 1)/4
Let q(p) = -p**2 + 12*p + 26. Let i be q(12). Suppose i*z - 30*z + 12 = 0. Factor -15*y**z - 10*y**3 + y + 24*y**3.
-y*(y - 1)*(y + 1)
Suppose -4*p = 5*b - 15, 