/20 - 81*y**5/10 - 243*y**4/4 - 16*y**2. Suppose g(s) = 0. Calculate s.
-9, 0
Find a, given that 554*a**3 + 358*a**3 - 46*a**2 - 916*a**2 - 47*a**4 - 241*a**4 + 380*a - 50 = 0.
1/3, 5/4
Suppose -7*h - 42 + 63 = 0. Let a(u) be the second derivative of 4/11*u**2 - 5*u + 0*u**h + 0 - 1/66*u**4. Let a(q) = 0. What is q?
-2, 2
Solve -92*c**3 - 1384*c + 968 - 222*c**2 - 640*c + 1368*c**2 + 2*c**4 = 0 for c.
1, 22
Let k(x) be the third derivative of x**9/181440 + x**8/10080 + x**7/1680 - 7*x**5/60 - 13*x**2. Let j(c) be the third derivative of k(c). Factor j(h).
h*(h + 3)**2/3
Let -84/5*k**2 - 1/5*k**3 - 2352/5*k - 21952/5 = 0. What is k?
-28
Factor 6390*t + 49579*t**3 - 976*t - 49578*t**3 + 238*t**2 + 8747*t.
t*(t + 119)**2
Solve -2/3 + 1/3*g**3 - 1/3*g**4 + g**2 - 1/3*g = 0 for g.
-1, 1, 2
Suppose -2*x + 18 = -2*b - 2*b, 5*b = -25. Let g be x*((3 - -1 - 3) + -1). Find s, given that -2/5*s**3 + 0 + g*s + 0*s**2 - 2/5*s**4 = 0.
-1, 0
Let a(g) = 4*g**3 + g. Let p be a(1). Suppose -5*y = -2*v + 21, v + 0*y - 18 = p*y. Let v*x**4 - 3*x**4 - 3*x**4 - 2*x**5 - x**4 - 2*x**3 = 0. Calculate x.
-1, 0
Suppose 21/4*f**2 + 3/8*f**4 - 3*f + 0 - 21/8*f**3 = 0. What is f?
0, 1, 2, 4
Let s(i) = -2*i**2 - 13*i - 11. Let d(c) = -6*c**2 - 40*c - 34. Let o(v) = v**3 - v**2 - 3*v + 16. Let u be o(0). Let f(z) = u*s(z) - 5*d(z). Factor f(r).
-2*(r + 1)*(r + 3)
Let q be 1/(187/33 + -4) + (-12)/(-5). Factor 2/5 + 8/5*w - 8/5*w**q - 2/5*w**2.
-2*(w - 1)*(w + 1)*(4*w + 1)/5
Let d be (-406)/3045*(1 - 4). Factor d*w**2 + 1/5*w + 0.
w*(2*w + 1)/5
Let y(n) be the first derivative of -n**3/9 + 56*n**2/3 + 113*n/3 - 567. Factor y(c).
-(c - 113)*(c + 1)/3
Let w(c) = -3. Let q(m) = 3*m**2 - 21*m - 15. Let n(t) = q(t) + 3*w(t). Factor n(l).
3*(l - 8)*(l + 1)
Let h(s) be the third derivative of -s**8/252 + 46*s**7/315 - 43*s**6/90 + 7*s**5/15 - 8*s**2 + 4*s. Factor h(f).
-4*f**2*(f - 21)*(f - 1)**2/3
Let l = -470 - -472. Let q(j) be the first derivative of 4/7*j**4 + 2/7*j - 4/7*j**3 + 0*j**l - 6/35*j**5 + 4. Factor q(r).
-2*(r - 1)**3*(3*r + 1)/7
Let n(r) be the third derivative of -r**9/30240 - r**8/2520 + r**5/2 - 38*r**2. Let q(p) be the third derivative of n(p). Let q(o) = 0. Calculate o.
-4, 0
Let x = -2/4949 - 8796/2726899. Let r = x - -567/4408. Factor 0 + 1/4*f**2 - 1/8*f**3 - r*f.
-f*(f - 1)**2/8
Let w(n) be the first derivative of -5 + 0*n - 1/24*n**6 + 1/4*n**2 - 1/4*n**3 - 1/16*n**4 + 3/20*n**5. Find f such that w(f) = 0.
-1, 0, 1, 2
Let 7*a**2 - 2 - a**4 - 14*a**3 - a**5 - 2*a**4 + 15*a**3 - 2 = 0. What is a?
-2, -1, 1
Suppose 0*x = -5*x. Let a be -5 + 6 - (-2 - x). Factor 9*z**3 - a*z**3 - 10*z**3.
-4*z**3
Let z(n) = -19*n**3 + 61*n**2 - 10*n + 1. Let h(c) = -9*c**3 - 5*c - 22*c**2 + 4 + 53*c**2 + 0 - 3. Let u(v) = 11*h(v) - 6*z(v). Solve u(m) = 0 for m.
-1/3, 1
Let v be (-6)/4 + 1 - 6314/44. Let j be (v/(-160))/((-11)/(-5) + -1). Determine l, given that -1/4 - j*l**2 - l = 0.
-1, -1/3
Let w be (-22)/(-22) + (-29)/30. Let v(q) be the second derivative of 0*q**2 + w*q**4 - 3/50*q**5 + 3*q + 0 + 2/15*q**3. Find l, given that v(l) = 0.
-2/3, 0, 1
Suppose -4*x = -x + 12. Let v be (75/(-18) - x)*(-7 - 1). Factor -4/3 - 1/3*u**2 + v*u.
-(u - 2)**2/3
Suppose -5*m + 0*m = -15. Suppose 0*u**4 + 92*u**3 + u**2 - 45*u**3 + u**4 - 45*u**m = 0. What is u?
-1, 0
Let k(a) be the third derivative of 1/2688*a**8 + 0*a**7 + 0*a**3 - 1/960*a**6 + 0 + 0*a**4 + 0*a + 0*a**5 - 12*a**2. Solve k(n) = 0 for n.
-1, 0, 1
Let j(b) = -b**3 + b**2 + b + 1. Let s(m) = 2*m**5 + 2*m**4 - 22*m**3 + 26*m**2 - 4*m + 4. Let a(v) = 4*j(v) - s(v). Factor a(g).
-2*g*(g - 1)**3*(g + 4)
Let p(t) = -24*t**2 + 81*t - 84. Let s be 18/4*10/(-15). Let l(d) = -d**3 + 25*d**2 - 81*d + 83. Let x(j) = s*l(j) - 2*p(j). Factor x(u).
3*(u - 3)**3
Factor 73*d + 10*d**3 + 2*d**3 + 17 + 4 + 3 - 5*d - 4*d**4 + 60*d**2.
-4*(d - 6)*(d + 1)**3
Suppose 3*m = -m + 32. Determine x so that m - 34 + 6*x + 2*x**3 + 14*x**2 + 10*x - 6 = 0.
-4, 1
Let o(i) = 5*i**4 - 14*i**3 - 205*i**2 - 318*i - 150. Let b(d) = 9*d**4 - 30*d**3 - 408*d**2 - 635*d - 299. Let g(v) = -6*b(v) + 11*o(v). Solve g(r) = 0.
-12, -1
Let v(s) be the first derivative of -8*s**6 + 114*s**5/5 - 9*s**4/4 - 17*s**3 - 3*s**2 + 6. Solve v(r) = 0.
-1/2, -1/8, 0, 1, 2
Let g(u) be the first derivative of u**6/80 + 9*u**5/20 + 27*u**4/4 + 54*u**3 - 27*u**2/2 - 11. Let l(p) be the second derivative of g(p). Factor l(n).
3*(n + 6)**3/2
Suppose 0 = -w + 4*g + 8, -w = 5*g - 196 + 206. Suppose -2 = -i, -2*i + 10 + 0 = 3*t. Factor w - v + 1/2*v**t.
v*(v - 2)/2
Let q(w) be the third derivative of w**7/5040 - w**6/480 - w**5/60 - w**4/6 + 12*w**2. Let i(n) be the second derivative of q(n). Factor i(y).
(y - 4)*(y + 1)/2
Let i = 16 + -15. Suppose b + 4*q = -5 - i, 3*b - 5*q = 16. Find s, given that 6*s + b*s**3 + 8*s**5 - 3*s**2 - 4*s + 16*s**4 + 2 - 7*s**2 - 4*s = 0.
-1, 1/2
Let p = -1/65786 + 197363/328930. Factor -36*g + 42/5*g**2 + 216/5 - p*g**3.
-3*(g - 6)**2*(g - 2)/5
Let b(x) = 5*x - 1. Suppose 0 = -4*r + 6 + 6, -11 = 4*c - 5*r. Let z be b(c). Factor 3*w**2 - 11*w**3 + 0*w**4 - z*w**4 + 23*w**3 + 5*w + 1 - 17*w**3.
-(w - 1)*(w + 1)**2*(4*w + 1)
Let l = 4 + -2. Suppose 2*j + 6 = 12. Factor 3*k**2 - 10*k**3 - l*k**j - 2*k**4 + 11*k**4.
3*k**2*(k - 1)*(3*k - 1)
Let n(o) be the third derivative of -o**6/480 + 9*o**5/40 - 81*o**4/8 + 243*o**3 + 9*o**2 + 7. Factor n(r).
-(r - 18)**3/4
Factor 24 - 13/4*o**3 - 49/2*o**2 - 40*o.
-(o + 4)**2*(13*o - 6)/4
Let r(l) be the second derivative of -l**8/420 + 3*l**7/70 - 11*l**6/45 + 16*l**4/3 + 5*l**3/2 + 18*l. Let k(b) be the second derivative of r(b). Factor k(c).
-4*(c - 4)**2*(c - 2)*(c + 1)
Let p = 19 + -16. Let i be ((-84)/(-3) - 4)*p/20. Factor -3/5*d**4 + i*d**3 + 0 + 24/5*d - 36/5*d**2.
-3*d*(d - 2)**3/5
Let a = 43 + -32. Suppose 2*m**2 + 6 - a*m + 13*m + 6*m = 0. What is m?
-3, -1
Let x(h) be the third derivative of -h**7/560 - h**6/120 - 7*h**3/6 + 2*h**2. Let c(y) be the first derivative of x(y). What is i in c(i) = 0?
-2, 0
Let f be (50/200)/(6/32). Factor f*n - 1/3*n**3 + 1/3*n**2 - 4/3.
-(n - 2)*(n - 1)*(n + 2)/3
Let y(r) = r**2 + 7*r + 7. Let o = 3 + -9. Let s be y(o). Suppose 1 - 25*x**2 + 10*x - 1 - s = 0. Calculate x.
1/5
Let g(q) be the first derivative of 4*q**3/9 - 4*q**2/3 - 43. Factor g(m).
4*m*(m - 2)/3
Let n(y) = y**3 + 13*y**2 + 24*y + 22. Let j be n(-11). Factor -4/15*q**2 + j*q**3 + 2/15*q**4 + 0*q + 2/15.
2*(q - 1)**2*(q + 1)**2/15
Suppose 33*r + 4 = 34*r. Suppose 5*y = -2*d + 20, r*d = 3*y + y + 12. Factor -10/7*z**4 - 18/7*z**y - 2/7*z + 26/7*z**3 + 4/7.
-2*(z - 1)**3*(5*z + 2)/7
Factor -m**4 - 8*m + 24*m**2 - 36*m**2 + 2*m**3 + 4*m**4.
m*(m - 2)*(m + 2)*(3*m + 2)
Let i(g) be the first derivative of -27*g**6/2 + 135*g**5 - 405*g**4/2 + 130*g**3 - 85*g**2/2 + 7*g - 291. Determine q so that i(q) = 0.
1/3, 7
Let t(a) be the third derivative of -a**5/75 - 53*a**4/15 - 5618*a**3/15 - 208*a**2 - 2. Suppose t(c) = 0. What is c?
-53
Let s = -60 - 13. Let y = s - -293/4. Suppose 1/4*o - y*o**2 + 0 = 0. What is o?
0, 1
Let g = -22 - -21. Let n be -1 + (19 - 14) + (g - 1). Determine y so that -1/2*y**n - 1/2 + y = 0.
1
Let 51/2 + 159/4*p + 3/4*p**3 + 15*p**2 = 0. What is p?
-17, -2, -1
Let d(j) be the second derivative of j**8/420 - j**7/630 - j**6/45 + j**5/30 - 11*j**4/6 + 17*j. Let c(s) be the third derivative of d(s). Factor c(b).
4*(b - 1)*(b + 1)*(4*b - 1)
Factor 0 + 0*o + 2/3*o**3 + 86/3*o**2.
2*o**2*(o + 43)/3
Let b(l) be the first derivative of l**5/30 - l**4/24 - l**3/6 + l**2/12 + l/3 + 51. Factor b(x).
(x - 2)*(x - 1)*(x + 1)**2/6
Let z(o) be the third derivative of 0 + 20/33*o**4 + 0*o + 5*o**2 + 16/33*o**3 + 9/55*o**6 + 9/385*o**7 + 24/55*o**5. Let z(f) = 0. Calculate f.
-2, -2/3
What is r in -r**5 - 24*r**4 - 479*r**2 + 465*r**2 - 29*r**3 + 8*r**4 = 0?
-14, -1, 0
Let r(c) = 4*c**2 - c. Let z(i) = -4*i**2 - 50*i. Let m(n) = -2*r(n) - z(n). Factor m(f).
-4*f*(f - 13)
Let y = -12 + 16. Let j be ((-1)/y)/((-6)/72). Determine h so that -3*h**3 + 2*h**4 + 0*h**2 - 5*h**4 - j*h**2 - h**5 + 2*h**2 = 0.
-1, 0
Let z be 1 + 6/(0 - -3). Let y = 25 - -88. Factor -174*d**2 + 0 - 18*d**3 + 68*d + 100*d**4 + y*d**z - 8.
(d + 2)*(4*d - 1)*(5*d - 2)**2
Let h = 458/515 - 71/103. Factor -8/5*x - x**2 - h*x**3 - 4/5.
-(x + 