 2/9 + 10/9*l = 0.
-1, 1/3, 1
Let t be 23/((-1380)/(-1220)) - -13. Solve t*m - 52/3 - 4/3*m**3 - 44/3*m**2 = 0.
-13, 1
Let v be (-1645)/(-10)*(-156)/(-4914) - 1. Factor -v*g - 68/9 - 2/9*g**2.
-2*(g + 2)*(g + 17)/9
Suppose 210 - 3267*r**3 - 3270*r**3 + 9803*r**3 - 5*r - 3271*r**3 - 40*r**2 = 0. Calculate r.
-7, -3, 2
Let f(d) be the third derivative of -d**6/120 + 11*d**5/60 - 5*d**4/3 + 8*d**3 + d**2 + 35*d. Solve f(w) = 0.
3, 4
Let s be 5 + -6 + 7 + -4. Let a(l) = -16*l**2 - 57*l + 51. Let b(g) = -3*g**2 - 11*g + 10. Let j(d) = s*a(d) - 11*b(d). Factor j(z).
(z - 1)*(z + 8)
Let q(v) = -11*v + 3. Let n(w) = -2*w - 1. Let f(k) = -6*n(k) + q(k). Let c be f(-7). Solve 9*o**3 - 11*o + 3*o**4 - 7*o - 3*o - 9*o**c + 28 - 10 = 0 for o.
-3, -2, 1
Suppose 31*b + 30*b - 93 - 90 = 0. Factor -48*c**2 - 4 + 49/4*c**4 - 7*c**b + 28*c.
(c - 2)*(c + 2)*(7*c - 2)**2/4
Let i(o) = -5*o**2 + 27848*o - 38697584. Let v(t) = 5*t**2 - 27855*t + 38697575. Let x(s) = -5*i(s) - 4*v(s). Solve x(n) = 0.
2782
Solve 82/9*s - 40 + 2/9*s**2 = 0 for s.
-45, 4
Suppose -5*u = -2*c - 27 - 497, 0 = -3*c + 3*u - 768. Let x = -1257/5 - c. Find j, given that 0 - 12/5*j + 18/5*j**4 - x*j**5 + 36/5*j**2 - 39/5*j**3 = 0.
0, 1, 2
Let r = 76 - 74. Let g(o) = 2*o**2 + o - 3*o**2 - r*o**2 + 12 - 2*o. Let h(b) = 16*b**2 + 4*b - 61. Let d(x) = -22*g(x) - 4*h(x). Factor d(c).
2*(c - 2)*(c + 5)
Let s = -310 - -306. Let h be s/(-60)*(-258)/(-4) - 4. Find y such that 1/5 + h*y**3 - 1/10*y**2 - 1/10*y**4 - 3/10*y = 0.
-1, 1, 2
Let r(m) be the second derivative of m**7/126 - m**6/15 + 3*m**5/20 - m**4/9 + 571*m. Suppose r(l) = 0. What is l?
0, 1, 4
Let u(w) be the first derivative of 1/2*w**6 - 4*w**3 + 9/4*w**4 + 0*w + 12/5*w**5 + 127 - 6*w**2. Let u(d) = 0. What is d?
-2, -1, 0, 1
Let i(s) = -2*s + 4. Let g be i(3). Let f(o) = -3*o**4 + o**3 - 2. Let z(x) = -6 - 15 - 2*x**3 + 24 + 4*x**4. Let n(c) = g*z(c) - 3*f(c). Factor n(y).
y**3*(y + 1)
Factor -439/5*i + 0 + 1/5*i**2.
i*(i - 439)/5
Let f be (61 + -78 + 57/6)/(3/(-14)). Let z(x) be the second derivative of 0 - f*x - 10/3*x**3 - 10*x**2 - 5/12*x**4. Find c, given that z(c) = 0.
-2
Find s such that 3/8*s**2 - 3711/8*s + 3705/4 = 0.
2, 1235
Factor 177/2 + 363/2*n**2 + 3*n**3 + 267*n.
3*(n + 1)*(n + 59)*(2*n + 1)/2
Solve -6*d**2 + 0*d**2 + 1104 - 12*d**2 - 223*d - 323*d + 15*d**2 = 0.
-184, 2
Suppose 0 = -5*w + 30*w. Let x(o) be the third derivative of w*o**4 + 1/36*o**5 + 0*o + 0*o**3 + 0 - 17*o**2. Factor x(i).
5*i**2/3
Let d(g) be the first derivative of g**4/20 - 7*g**3/15 + 718. Find w, given that d(w) = 0.
0, 7
Let h(t) = -4*t**3 + 56*t**2 - 27*t + 378. Let p be h(14). Solve 27/8*j**2 + p + 33/4*j - 3/8*j**3 = 0 for j.
-2, 0, 11
Suppose 3*u + 4*s - 26 = 0, -u + 5*u = -3*s + 44. Let f = -57 - -59. Find k such that f*k**3 + 1 - 2*k + 2*k**2 - u*k**4 + 2*k**5 - k**5 - k + 11*k**4 = 0.
-1, 1
Let v = 2/179799 - 1180919846/1258593. Let w = -938 - v. Factor 0*o - 8/21*o**2 + 0*o**3 + w*o**4 + 2/21*o**5 + 0.
2*o**2*(o - 1)*(o + 2)**2/21
Let m(s) be the first derivative of 3*s - 2*s**3 + 9 + 0*s**2 - 3/20*s**5 - s**4. Let g(z) be the first derivative of m(z). Determine y so that g(y) = 0.
-2, 0
Let -146 + 546 + 45*o**2 + 779*o + 705*o - 488*o + 814*o = 0. What is o?
-40, -2/9
Let l = 148084/44421 - 14/44421. Solve -2*a**2 + 8/3 - l*a**4 - 32/3*a**3 + 40/3*a = 0 for a.
-2, -1/5, 1
Let c(g) be the third derivative of g**5/75 - g**4/2 - 68*g**3/15 + 334*g**2. Factor c(r).
4*(r - 17)*(r + 2)/5
Let a be (-1 - 40/16)*16/(-280)*10. Let 35/2*w**3 - 45 - 15/2*w + 5/2*w**4 + 65/2*w**a = 0. Calculate w.
-3, -2, 1
Let w(u) = 51*u**2 - 149*u - 6. Let h be w(3). Let b(m) be the first derivative of 8/3*m + 28/9*m**3 + h*m**2 - 10. Determine q so that b(q) = 0.
-1, -2/7
Suppose -9*v - 5*q + 16 = -8*v, -16 = -v - 2*q. Let -3*l**2 + v + l**3 - 17 + 2*l + 1 = 0. Calculate l.
0, 1, 2
Let x be 29/(-116)*((-7 - -3) + -8). Let p(o) be the second derivative of -2*o**2 + 0*o**x + 0 - 30*o + 1/3*o**4. Factor p(z).
4*(z - 1)*(z + 1)
Factor 2/3*o**2 + 28/3*o + 16.
2*(o + 2)*(o + 12)/3
Let j(s) be the first derivative of s**5/35 - 255*s**4/14 + 508*s**3/21 + 255*s**2/7 - 509*s/7 - 1943. Suppose j(f) = 0. Calculate f.
-1, 1, 509
Suppose -344763/4 + 2031/4*q**2 + 342729/4*q + 3/4*q**3 = 0. Calculate q.
-339, 1
Factor 290*u - u**3 + 376*u**2 + 76*u - u**3 + 12*u.
-2*u*(u - 189)*(u + 1)
Let p(s) = 4*s**4 + 2*s**3 - 4*s**2 - 4*s - 10. Let n(a) = a**4 + a**3 + a**2 - 5. Let d(i) = -2*n(i) + p(i). What is o in d(o) = 0?
-1, 0, 2
Let g(d) = 38*d**3 - 176*d**2 + 328*d - 16. Let c(s) = 7*s**3 - 35*s**2 + 66*s - 3. Let w(r) = -16*c(r) + 3*g(r). Factor w(u).
2*u*(u - 2)*(u + 18)
Let d be 39 + 15995/(-315) + 0 + 12. Factor 0*l**2 + d*l**4 - 2/9 + 4/9*l - 4/9*l**3.
2*(l - 1)**3*(l + 1)/9
Let o(p) = -p**2 - 19*p - 9. Let n be o(-21). Let x = n + 55. Determine k so that 2*k**4 + 7*k**4 - 5*k**x - 4*k**3 = 0.
0, 1
Let -40*d + 44/9*d**2 - 1008 + 2/9*d**3 = 0. What is d?
-18, 14
Suppose 760 = 2*u + w, 4*u + 21*w = 20*w + 1524. Let n = u + -1142/3. Let -2/3*z**3 + 0 + 0*z + 2/3*z**5 - 4/3*z**2 + n*z**4 = 0. What is z?
-2, -1, 0, 1
Suppose -d - 2*n + 23 = 0, 3*n - n = -5*d + 123. Let j(w) = w - 11. Let x be j(14). What is k in 11*k**x - 3*k**2 - 15 + d*k - 2*k**2 - 16*k**3 = 0?
-3, 1
Let x = -2949/80 - -657/16. Determine c, given that -4 + x*c**2 + 1/5*c - 1/5*c**3 - 1/5*c**4 = 0.
-5, -1, 1, 4
Suppose -26*h = -9*h - 85. Factor -2*w**2 - h*w**3 + 25 + 29*w - w**2 - 7*w**3 + 79*w + 2.
-3*(w - 3)*(w + 3)*(4*w + 1)
Factor 21/2*l + 9 + 3/2*l**2.
3*(l + 1)*(l + 6)/2
Let q(s) = -12*s**2 - 26*s + 10. Suppose 4*w - 2*w + 28 = 0. Let d(i) = -4*i**2 - 9*i + 3. Let a = 142 - 137. Let m(z) = a*q(z) + w*d(z). Factor m(x).
-4*(x - 1)*(x + 2)
Let l(j) = j + 9. Let y be l(24). Find r, given that -13*r**3 + 5*r**4 + y*r**2 + 4*r**3 - 8*r**4 - 21*r**3 = 0.
-11, 0, 1
Let s = -117 + 121. Find n, given that -206*n**2 - n**s - n**3 + 202*n**2 - 2*n**3 - n**3 = 0.
-2, 0
Let l = -120485950069/1470 - -81963222. Let d = -3/490 - l. Factor d*p - 32/3*p**2 + 4*p**3 - 8/3.
4*(p - 1)**2*(3*p - 2)/3
Let h(c) = -289*c**2 + 68*c - 4. Let w be (-100)/(-28) - (-33)/77. Let s(u) = 289*u**2 - 68*u + 4. Let p(i) = w*h(i) + 3*s(i). Factor p(x).
-(17*x - 2)**2
Let a(j) = -940*j + 23506. Let w be a(25). Factor -w*k**2 - 82/13 + 2/13*k**3 - 162/13*k.
2*(k - 41)*(k + 1)**2/13
Factor -3*u**3 - 899*u + 2*u**3 + 654 + 246 - 59*u**2 + 59*u.
-(u - 1)*(u + 30)**2
Let l(n) = n**3 + 7*n**2 + 5*n + 2. Let w be l(-6). Let p be 78/w - 19/(-76). Factor -25*s**3 - p*s**2 - 31*s + 15*s**4 + 31*s.
5*s**2*(s - 2)*(3*s + 1)
Let m(a) = a**3 + 5*a**2 - 2*a - 5. Let b be m(-5). Suppose 13*x - 48 = b*x. Find y such that -y**2 + 4*y + 4*y**3 + 2*y**4 - x*y - 2*y**3 - y**2 = 0.
-1, 0, 1
Factor 17363*g**2 - 8685*g**2 - 8679*g**2 - 568 - 569*g.
-(g + 1)*(g + 568)
Determine j, given that -12/5*j + 3/5*j**3 - 108/5 + 27/5*j**2 = 0.
-9, -2, 2
Let w be ((-5)/(-14))/(-4*(232 + -228)*(-1)/56). Factor -5/2 + 15/4*x - w*x**2.
-5*(x - 2)*(x - 1)/4
Let -12352*z - 3013943 - 1977*z - 3*z**2 - 7299738 + 955*z - 4591642 = 0. Calculate z.
-2229
Let b(x) be the third derivative of 0*x**3 + 0 - 1/70*x**6 + 0*x - 1/735*x**7 - 1/42*x**5 + 0*x**4 + 217*x**2. Factor b(z).
-2*z**2*(z + 1)*(z + 5)/7
Let q be 18 + 11*(-1515)/990. Let q - 1/6*d**2 + d = 0. Calculate d.
-1, 7
Let d(b) be the second derivative of -b**4/60 + b**3/5 + 11*b**2/2 - 138*b. Factor d(v).
-(v - 11)*(v + 5)/5
What is d in -51/4*d - 1/4*d**2 + 203/2 = 0?
-58, 7
Let o(x) = 39*x**2 - 2250*x + 6. Let g(y) = 72*y**2 - 4501*y + 11. Let k(z) = -6*g(z) + 11*o(z). Solve k(u) = 0.
0, 752
Factor -400 + 7*p**3 - 3*p**4 - 2*p**4 - 6*p**3 - 8*p**3 + 160*p + 120*p**2 - 33*p**3.
-5*(p - 2)**2*(p + 2)*(p + 10)
Suppose 3*v + 26 = -2*a, -4*v - 39 = -27*a + 30*a. Determine p so that 1/5*p**2 + v*p + 0 = 0.
0
Suppose -1 = -3*x + 38. Suppose 3*u = -3*f + 8 + x, 0 = -5*f + 5*u - 15. Solve 0*k**2 - 4*k**2 + 16 - f*k**3 + 8*k + 0 = 0.
-2, 2
Let m be 6/(-14) + 62/(-42)*-3. Factor 2*o**5 - 5*o**2 + 54 + 13*o**2 - 23*o**2 + 52*o**3 - 21*o**2 - 18*o**m - 54*o.
2*(o - 3)**3*(o - 1)*(o + 1)
What is u in 1204*u**2 + 255*u**2 - 135*u**4 - 20 - 233*u - 128 - 3090*u**3 - 1866*u**3 + 821*u = 0?
-37, -1/3, 2/9, 2/5
Let g(c) be the third derivative 