et o be l*3/6*16/180. Suppose o*y**3 - 2/9*y**2 - 4/9*y + 0 + 2/9*y**4 = 0. What is y?
-2, -1, 0, 1
Suppose 157157 = 5*g + 8*g. Determine x, given that 70*x**3 + 2*x**2 - 7*x**2 + 12084 - 45*x**5 - g - 5*x**2 - 25*x + 15*x**4 = 0.
-1, -1/3, 1
Factor 281/3*o + 302 - 7/3*o**2.
-(o + 3)*(7*o - 302)/3
Suppose -484*c + 482*c = 12. Let i be (-2)/24*c - 9/26. What is m in -10/13*m + 12/13 - i*m**2 = 0?
-6, 1
Let h(x) be the second derivative of -4/9*x**3 + 119*x - 2 - 2/9*x**4 - 1/30*x**5 + 0*x**2. Determine k so that h(k) = 0.
-2, 0
Let s(m) be the third derivative of -m**5/210 - 71*m**4/21 - 20164*m**3/21 - 139*m**2 + 2*m - 9. Factor s(f).
-2*(f + 142)**2/7
Let r(g) be the second derivative of g**5/10 - 343*g**4/6 - 230*g**3 + 3026*g. Determine u, given that r(u) = 0.
-2, 0, 345
Let m(i) be the first derivative of 1/84*i**5 - 1/840*i**6 - 4*i**2 - 17 - 3/14*i**3 + 0*i - 1/56*i**4. Let o(c) be the second derivative of m(c). Factor o(a).
-(a - 3)**2*(a + 1)/7
Let b be (-24)/60 - (1776038/120)/(-11). Let x = -1345 + b. Factor 1/4*h**2 + 0 + x*h**5 + 0*h - 5/12*h**3 + 1/12*h**4.
h**2*(h - 1)**2*(h + 3)/12
Let k(j) be the third derivative of -j**5/80 - 403*j**4/32 + 101*j**3/2 + 1851*j**2. Factor k(i).
-3*(i - 1)*(i + 404)/4
Factor 0 - 48*b + 3/7*b**2.
3*b*(b - 112)/7
Let j(h) be the third derivative of -h**5/270 - 5*h**4/6 - 176*h**3/27 + 2*h**2 + 262. Factor j(y).
-2*(y + 2)*(y + 88)/9
Let h be (1 - 447) + (-3 - -8) + -8. Let i = -3141/7 - h. Solve -4/7*d + 2/7 + 4/7*d**3 - i*d**4 + 0*d**2 = 0 for d.
-1, 1
Suppose -304 = -23*h + 27*h. Let r be 8/h - 156/(-38). Solve 0*o - 4/3*o**5 + 0 + 0*o**2 + 8/3*o**r - 4/3*o**3 = 0.
0, 1
Let i(u) be the second derivative of u**5/4 - 55*u**4/4 + 105*u**3/2 - 155*u**2/2 - u - 718. Factor i(h).
5*(h - 31)*(h - 1)**2
Let x(p) = p**3 + 7*p**2 - 7*p + 21. Let g be x(-8). Suppose -13 = -13*w + g. Find f, given that -7*f - 15*f**w + 9*f - f - 6*f = 0.
-1/3, 0
Let t(l) be the third derivative of l**7/630 + l**6/60 - 7*l**5/45 - 5*l**4/3 + 16*l**3 + 4*l**2 + 2*l - 111. Factor t(n).
(n - 4)*(n - 2)*(n + 6)**2/3
Suppose 13*a = 17*a - 8. Factor 2*b + 40*b**a - 41*b**2 - 2*b.
-b**2
Solve -279*w + 5*w**3 - 501*w**2 + 0*w**4 + 14*w**3 - 3*w**4 - 141*w - 103*w**3 = 0.
-20, -7, -1, 0
Let b = -59 + 18. Let w = 46 + b. Solve 22*m**2 - 81*m + w*m**2 - 26*m**3 + 43*m**3 + 81 - 20*m**3 = 0.
3
Let i(j) = -18*j**2 + 10*j. Let y(z) = -87*z**2 + 51*z. Let d(u) = 24*i(u) - 5*y(u). What is t in d(t) = 0?
0, 5
Let l(v) be the first derivative of -7*v**5/20 - 43*v**4/8 - 113*v**3/4 - 117*v**2/2 - 27*v - 374. Let l(u) = 0. Calculate u.
-6, -3, -2/7
Let b be -6 + (-75)/(-10) + (-1)/(-2). Find z such that -29*z**4 - 6 + 26 + 20*z**b + 75*z - 90*z**3 + 328*z**5 - 313*z**5 - 11*z**4 = 0.
-1, -1/3, 1, 4
Let u = -1159157/78 - -14861. Let w(p) be the second derivative of -1/39*p**3 + 18*p + u*p**4 + 0*p**2 + 0. Find n, given that w(n) = 0.
0, 1
Suppose 9*h = 12*h + 66*h. Let 0 - 2/7*y**4 + 2/7*y**3 + 0*y**2 + h*y = 0. What is y?
0, 1
Let z(r) be the first derivative of 0*r + 0*r**2 - 67 + 1/15*r**6 + 0*r**3 + 1/10*r**4 - 4/25*r**5. Solve z(w) = 0 for w.
0, 1
Let p be 5 + (-19)/6 + 7/(-1050)*-25. Solve -32/7*w**4 + 4/7*w**5 + 0*w + 0*w**p + 4*w**3 + 0 = 0.
0, 1, 7
Let t(k) be the third derivative of -k**9/100800 + k**7/1200 + k**6/200 - 29*k**5/15 + k**2. Let a(r) be the third derivative of t(r). Factor a(g).
-3*(g - 3)*(g + 1)*(g + 2)/5
Let s(w) be the third derivative of 0 + 0*w - 187/36*w**5 - 58*w**2 - 2/3*w**3 - 26/9*w**4 - 289/360*w**6. Determine f so that s(f) = 0.
-3, -2/17
Let d(g) be the third derivative of 2*g**2 + 2/39*g**3 + 7/780*g**6 + 0*g - 1/105*g**7 + 1 + 1/546*g**8 - 11/156*g**4 + 11/390*g**5. Solve d(p) = 0.
-1, 1/4, 1, 2
Let s(d) be the first derivative of -d**4/4 - 25*d**3 - 1683*d**2/2 - 9801*d + 3525. Factor s(q).
-(q + 9)*(q + 33)**2
Let q(h) be the third derivative of h**5/150 - 13*h**4/15 + 451*h**3/15 - 70*h**2 - h - 2. Find c such that q(c) = 0.
11, 41
Let p = 10 - 4. Suppose 3*t - p*t = -63. Let 2*f**3 - 9*f**2 + t*f**2 + f**3 - 15*f**2 = 0. Calculate f.
0, 1
Let o(y) = -2*y**5 - 32*y**4 - 454*y**3 - 8*y**2. Let t(l) = -l**5 - 11*l**4 - 151*l**3 - 3*l**2. Let q(u) = 3*o(u) - 8*t(u). Let q(a) = 0. Calculate a.
-7, 0, 11
Let m be 2/(-18)*-1 + (-13505)/1665 + (17 - 7). Factor 78*b**m + 3/2*b**3 + 1014*b + 0.
3*b*(b + 26)**2/2
Let n(g) = 6*g**3 - 214*g**2 - 287*g - 99. Let s(f) = -3*f**3 - f**2 + 9*f + 1. Let r(m) = -4*n(m) + 4*s(m). Determine z so that r(z) = 0.
-2/3, 25
What is z in -3*z**2 + 13 + 35*z**3 - 45*z - 7 - 6*z**2 + 10*z**3 + 3*z**2 = 0?
-1, 2/15, 1
Let j(a) be the third derivative of a**7/2415 + 58*a**6/345 + 6728*a**5/345 + 4*a**2 + 482. Determine q, given that j(q) = 0.
-116, 0
Let q(v) = 20*v**2 - 11515*v - 35850. Let a(f) = -f**2 + 606*f + 1887. Let y(u) = 75*a(u) + 4*q(u). Factor y(x).
5*(x - 125)*(x + 3)
Factor -30*x**2 - 3*x**3 + 22*x**2 - 46*x**2 - 2590*x + 2449*x - 90.
-3*(x + 1)*(x + 2)*(x + 15)
Let v(c) be the third derivative of -49*c**6/24 + 7*c**5/6 - 5*c**4/24 - 576*c**2. Factor v(j).
-5*j*(7*j - 1)**2
Let b = -45315 + 453151/10. Find c, given that b*c**2 - 1/5*c**3 + 0 + 1/5*c - 1/10*c**4 = 0.
-2, -1, 0, 1
Let y = -2847 + 2851. Let c(i) be the third derivative of -1/60*i**y + 0*i**3 - 7*i**2 + 7/150*i**6 + 0*i - 1/300*i**5 + 0. Factor c(x).
x*(4*x + 1)*(7*x - 2)/5
Factor -71/5*i - 2*i**2 - 12 + 1/5*i**3.
(i - 15)*(i + 1)*(i + 4)/5
Let l(s) be the third derivative of -11*s**8/504 + 23*s**7/315 + 41*s**6/60 - 3*s**5/2 + 126*s**2 - 13*s. Determine q, given that l(q) = 0.
-3, 0, 1, 45/11
Let o(v) be the third derivative of v**6/420 + 2*v**5/105 - 27*v**4/28 + 60*v**3/7 + 2*v**2 - 122. Solve o(l) = 0 for l.
-12, 3, 5
Let y(z) = -5*z + 24. Let n be y(-11). Factor -n*x**2 + 324 - 16*x + 83*x**2 - 25*x - 31*x.
4*(x - 9)**2
Suppose 0 = -4*t + 2*f + 20, 2*t - 20 - 6 = 5*f. Suppose 21 = 5*l - 2*l + t*w, -2*l + 16 = w. Factor -l + 2 + 7 - 2*s**3.
-2*s**3
Let y = -70 - -73. Let -33*x**3 - 18*x**3 - 25*x**4 + 0*x**4 + 16*x**y + 25*x**2 + 30*x**5 + 5*x = 0. What is x?
-1, -1/6, 0, 1
Solve 10/3*h**3 - 1/3*h**5 - h**4 + 5/3 - 2/3*h**2 - 3*h = 0 for h.
-5, -1, 1
Let w = 1 + 1. Let s = 1/26698 - -120139/53396. Determine x so that 3/4*x**4 + s*x**w - 3*x**3 + 3*x - 3 = 0.
-1, 1, 2
Suppose -4*b = -4*c - 16, -8*c + 3*c - 18 = -4*b. Let u be 6/(1/(4/80))*b. Factor u + 17*o**2 - 31/5*o - 5*o**3.
-(o - 3)*(5*o - 1)**2/5
Determine u, given that 2/3*u**2 - 30*u + 0 = 0.
0, 45
Let q(z) = 2*z**2 + 140*z + 3. Let p be q(-70). Let k(i) be the first derivative of -6 - 2*i**3 - 9/2*i**2 - p*i. Factor k(o).
-3*(o + 1)*(2*o + 1)
Let v(d) = 2*d**3 + 130*d**2 - 270*d - 130. Let a be v(-67). Factor -98*t**2 - 2401/3 + 28/3*t**3 + 1372/3*t - 1/3*t**a.
-(t - 7)**4/3
Let c(q) be the third derivative of 0*q - 1/30*q**6 + 2/15*q**5 + 0 + 2/3*q**4 - 16/3*q**3 + 125*q**2. Factor c(o).
-4*(o - 2)**2*(o + 2)
Let 98755*n - 88*n**2 - 97787*n + 23*n**3 - 21*n**3 = 0. What is n?
0, 22
Let k(y) = -75*y**4 - 360*y**3 - 555*y**2 - 336*y. Let r(c) = -16*c**4 - 77*c**3 - 119*c**2 - 72*c. Let z(f) = 7*k(f) - 33*r(f). Solve z(t) = 0.
-4, -2, -1, 0
Let n(u) be the first derivative of -u**4 - 2935*u**2 + 2949*u**2 - 87 + 24*u + 2. Factor n(d).
-4*(d - 3)*(d + 1)*(d + 2)
Let h = 10164 - 10164. Let g(o) be the first derivative of -1/2*o**6 - 9/4*o**4 + o**3 + 9/5*o**5 + 0*o + h*o**2 - 5. Find v, given that g(v) = 0.
0, 1
Let q = 51 - 30. Suppose -4*h + 72 = -0*l - 4*l, 9 = 3*l. Let q*f**3 + 2*f - f - f**2 + f**4 + h*f**3 - 43*f**3 = 0. What is f?
-1, 0, 1
Let p(l) be the third derivative of 0*l + 0*l**3 + 115/24*l**4 + 134*l**2 - 1/12*l**5 + 0. Factor p(z).
-5*z*(z - 23)
Let m(q) = -3*q**2 + q - 1. Let i(x) = 55*x**2 - 480*x - 10560. Let g(d) = -i(d) - 20*m(d). Factor g(j).
5*(j + 46)**2
Factor 74*j - 171 - 249 + 50*j**3 + 12*j**2 - 21*j**3 - 31*j**3.
-2*(j - 7)*(j - 5)*(j + 6)
Let c be 93/1674*36/15. Let g(r) be the first derivative of 1/2*r**4 - 4 - r**2 - c*r**5 + 2/9*r**3 + 0*r. Find n, given that g(n) = 0.
-1, 0, 1, 3
Factor -220*t + 71 - 3*t**2 - t**2 - t**2 + 396 - 7.
-5*(t - 2)*(t + 46)
Let n(l) = -31*l**2 + 5*l - 6. Let g be n(1). Let d be (-96)/(-160) + g/70. What is b in 5/7*b + 4/7 + d*b**2 = 0?
-4, -1
Let j(c) = -2*c**2 - 277*c - 2328. Let i