6, -5*h = s + 17. Let o(q) be the second derivative of 0 + 4*q + 2/9*q**2 + 1/54*q**4 + 1/9*q**s. Find y, given that o(y) = 0.
-2, -1
Suppose -32*a**2 + 72 - 19*a**3 - 44*a + 23*a**3 + 80*a = 0. Calculate a.
-1, 3, 6
Suppose 122*c - 16 = 118*c. Suppose -2*u - u - 7 = c*x, 3*x = -4*u. Suppose r + 0 + 1/2*r**u + 3/2*r**2 = 0. What is r?
-2, -1, 0
Suppose 3566/7*j**2 - 106/7*j**3 - 8/7*j**4 - 2582/7*j - 870/7 = 0. Calculate j.
-29, -1/4, 1, 15
Suppose j = 5*j + 5*g + 10877, 0 = -g - 1. Let n be (-6 - j/405) + (-1)/9. What is d in n*d**4 - 1/5*d**5 + 0*d - 3/5*d**3 + 1/5*d**2 + 0 = 0?
0, 1
Suppose -m + 4*n = -32, -4*m + 75 + 9 = -5*n. Let r(l) be the second derivative of -m*l - 3/4*l**2 - 1/3*l**3 + 0 - 1/24*l**4. Factor r(a).
-(a + 1)*(a + 3)/2
Factor -1/2*o**5 + 443*o**4 + 12967168 + 12704764*o**2 + 25802912*o - 261073/2*o**3.
-(o - 296)**3*(o + 1)**2/2
Let j(i) = 6*i**5 + 298*i**4 + 612*i**3 - 11. Let t(v) = 3*v**5 + 177*v**4 + 306*v**3 - 6. Let w(d) = 6*j(d) - 11*t(d). Suppose w(u) = 0. Calculate u.
0, 2, 51
Suppose 0 = 8*b - 29 - 3. Suppose -g - 1 + b = 0. Factor -50*d**2 - 160*d + 62*d**3 + 61*d**3 - 160 - 128*d**g.
-5*(d + 2)*(d + 4)**2
Let a(s) be the first derivative of -s**6/6 - 3*s**5/5 + 11*s**4/4 + s**3 - 5*s**2 + 4073. Find c such that a(c) = 0.
-5, -1, 0, 1, 2
Suppose -8*s + 6*s + 20 = -4*p, 0 = -s + 3*p + 13. Let l(y) be the first derivative of 2/25*y**5 + 7 + 11/40*y**s + 1/20*y**2 - 1/10*y + 3/10*y**3. Factor l(m).
(m + 1)**3*(4*m - 1)/10
Let i(j) be the second derivative of 35*j**4/12 + 15*j**3 + 20*j**2 - 1036*j. Factor i(h).
5*(h + 2)*(7*h + 4)
Let t = -428 + 474. Suppose -132*r = -155*r + t. Suppose 0 + l**r - 7/2*l**4 + 0*l + 5/2*l**3 = 0. What is l?
-2/7, 0, 1
Let r(s) = -5*s**3 + 20*s**2 + 80*s - 140. Let a(j) = -j**2 + 3*j + 1. Let q(t) = 15*a(t) + r(t). Find v such that q(v) = 0.
-5, 1, 5
Suppose 0 = -5*s + 5, 2*s = k - 0*k - 14. Suppose -3*n = -5*h + k, -4*h + 2 = -h + 2*n. Factor 14*z + 14*z + z**h - 25*z.
z*(z + 3)
Find s such that -854/5*s - 182329/5 - 1/5*s**2 = 0.
-427
Suppose 0 = 3*i, 65*x = 60*x - 5*i + 160. Factor -1/2*z**2 - x - 8*z.
-(z + 8)**2/2
Suppose 13*g**2 + 178*g + 5*g**4 + 32 + 41*g**2 - 78*g**2 + 8 - 4*g**3 - 87*g**2 = 0. What is g?
-5, -1/5, 2, 4
Let k(x) be the second derivative of 5*x**6/2 + 51*x**5/4 - 29*x**4/2 + 4*x**3 - 7764*x. Suppose k(u) = 0. What is u?
-4, 0, 1/5, 2/5
Suppose -4*q = -2*r - 302, r + 157 = 2*q - 2*r. Let y = 830/11 - q. Factor 0 - 6/11*w**3 - y*w**2 - 8/11*w.
-2*w*(w + 2)*(3*w + 2)/11
Suppose 116*j - 89 - 256 = 3. Let t(u) be the first derivative of 3*u**4 - 43 + 2/5*u**5 + 10/3*u**j + 0*u**2 + 0*u. Let t(r) = 0. Calculate r.
-5, -1, 0
Solve -6*d + 10/9*d**3 - 8 - 1/9*d**4 + 29/9*d**2 = 0.
-3, -1, 2, 12
Let g be 2/(-4)*(-5 + -17). Suppose -5*i - g = -3*n, 2*i - 39 = -7*n + 2*n. Factor 11 + n*c - 4*c**2 - c**2 - 13.
-(c - 1)*(5*c - 2)
Factor -1350*c**4 + 1359*c**4 - 2*c + 9*c**3 + c - c**2 + 0*c**2.
c*(c + 1)*(3*c - 1)*(3*c + 1)
Let p(y) = -32*y**2 + 734*y - 7. Let w(m) = 9*m**2 - 244*m + 2. Let u(f) = -4*p(f) - 14*w(f). Factor u(t).
2*t*(t + 240)
Let k = -27609/203 - -136. Let u = 4/29 - k. Factor -12/7*a**2 - 3/7 + 10/7*a - u*a**4 + 6/7*a**3.
-(a - 3)*(a - 1)**3/7
Suppose -18 = t - 2*c, -59531*c = 4*t - 59526*c - 58. What is z in 0 - 18/5*z - 3*z**t - 3/5*z**3 = 0?
-3, -2, 0
Let 475/2*x**3 - 260*x**2 + 625/2*x**4 - 242*x - 48 = 0. What is x?
-24/25, -2/5, 1
Let r(o) = 15*o**3 - 153*o**2 - 957*o - 1447. Let u(q) = -52*q**3 + 458*q**2 + 2871*q + 4340. Let a(b) = -7*r(b) - 2*u(b). Factor a(h).
-(h - 161)*(h + 3)**2
Let k(y) = y - 1. Let z be k(1). Let j = 55 + -53. Factor -2/7*x**j + z - 4/7*x.
-2*x*(x + 2)/7
Let z(p) = p**3 + p**2 - 2*p + 16. Let q be z(0). Suppose 13*d**3 + 7*d**3 - q + 27*d**2 + 64*d - 72*d**2 - 23*d**2 = 0. Calculate d.
2/5, 1, 2
Let x(j) = -j**3 - 128*j**2 - 1199*j - 2242. Let u be x(-118). Solve 0*y**2 - 8*y**3 + 0*y + u + 2/15*y**4 = 0.
0, 60
Suppose 4241*x + 27 = 4250*x. Let g(a) be the first derivative of 3/16*a**4 - 3/8*a**2 - 15 - 3*a + a**x. Factor g(o).
3*(o - 1)*(o + 1)*(o + 4)/4
Let f(u) = -13*u**3 + 652*u**2 + 2205*u - 44. Let h(g) = -2*g**3 + 93*g**2 + 315*g - 6. Let y(b) = -3*f(b) + 22*h(b). Factor y(p).
-5*p*(p - 21)*(p + 3)
Let q(x) be the third derivative of -7*x**5/48 - 25*x**4/16 - 20*x**3/3 + 2*x**2 - 1495*x. Factor q(f).
-5*(f + 2)*(7*f + 16)/4
Determine b, given that 10*b**2 - 740 + 166*b - 1170*b - 264*b - 578*b = 0.
-2/5, 185
Suppose 5*l + 60*y = 63*y - 13, -2*y = 5*l - 42. Let -20/17*d - 94/17*d**2 + 0 - 58/17*d**3 - 8/17*d**l = 0. What is d?
-5, -2, -1/4, 0
Factor -82 + 607 + 377 - 208 - 6244*q - 18*q**2.
-2*(q + 347)*(9*q - 1)
Let y(b) be the second derivative of -803*b**4/18 + 805*b**3/9 - 2*b**2/3 + 3988*b. Suppose y(z) = 0. Calculate z.
2/803, 1
Let l(p) = -11*p**2 + 112*p - 5. Let i(t) = -8 - 5*t**2 + 169*t - 28*t**2 + 16*t**2. Let r(b) = 5*i(b) - 8*l(b). Determine z, given that r(z) = 0.
0, 17
Let f(s) = s**3 - s**2 + 2. Let j(g) = 2*g**4 - 22*g**3 + 18*g**2 + 18*g - 24. Let t be 74/111*-6*3. Let i(y) = t*f(y) - j(y). Factor i(c).
-2*c*(c - 3)**2*(c + 1)
Solve 2/5*j**2 - 54 + 268/5*j = 0.
-135, 1
Let r(t) be the first derivative of 2*t**5/5 + 7*t**4/2 + 32*t**3/3 + 12*t**2 + 1182. What is s in r(s) = 0?
-3, -2, 0
Let s(w) be the first derivative of -2*w**5/35 + 17*w**4/14 - 20*w**3/3 - 13898. Factor s(f).
-2*f**2*(f - 10)*(f - 7)/7
Suppose -797*u - 30 = -791*u. Let r be 18/75*u/(-3). Factor -1/5*p**5 + 0*p + 0 + 0*p**4 + 3/5*p**3 + r*p**2.
-p**2*(p - 2)*(p + 1)**2/5
Let g = -83/1054 - -4797/7378. Factor 0*l**3 - 8/7*l**2 + g*l**5 + 8/7*l**4 - 4/7*l + 0.
4*l*(l - 1)*(l + 1)**3/7
Suppose 0 = -6*x + 291 - 75. Factor 96 - 69*r**2 + 35*r**2 - 24*r + x*r**2 - 32.
2*(r - 8)*(r - 4)
Let r be (44 - 1737/36)*(-8)/340. Factor -4/5 - 9/10*v - r*v**2.
-(v + 1)*(v + 8)/10
Factor -147490/3*f**2 - 2033647/3 + 9310/3*f**3 + 924385/3*f - 175/3*f**4 + 1/3*f**5.
(f - 77)**2*(f - 7)**3/3
Factor 100/3 + 95/6*c**4 - 491/6*c**3 + 1/6*c**5 - 349/3*c + 893/6*c**2.
(c - 2)*(c - 1)**3*(c + 100)/6
Let o(i) = 33*i**2 - 8984*i + 2178. Let h be o(272). Factor 0 + 27/5*y**h - 6*y + 3/5*y**3.
3*y*(y - 1)*(y + 10)/5
Factor -303/7*z**4 - 178848/7*z - 171396/7 - 3/7*z**5 - 64665/7*z**2 - 8913/7*z**3.
-3*(z + 3)**3*(z + 46)**2/7
Let h(p) = -16*p**2 + 16*p - 4. Let k(o) = 9*o + 4 + 9*o + 19*o**2 - 35*o. Let s(f) = 6*h(f) + 4*k(f). Solve s(g) = 0 for g.
2/5, 1
Let c(g) be the third derivative of -g**8/672 + g**7/420 + g**6/240 - g**5/120 - 740*g**2. Factor c(m).
-m**2*(m - 1)**2*(m + 1)/2
Factor 87/2*z - 81 - 3/2*z**2.
-3*(z - 27)*(z - 2)/2
Suppose 0 = 15*b - 15. Suppose -2*o + 6 = i, -b = o - 2*i + 1. Factor 28/3*x**o + 0 + 8/3*x.
4*x*(7*x + 2)/3
Let c(i) be the third derivative of -i**5/120 - 13*i**4/48 + 25*i**3 - 6393*i**2. Suppose c(v) = 0. What is v?
-25, 12
Factor -29/3*k + 20 - 1/6*k**2.
-(k - 2)*(k + 60)/6
Let z(k) be the first derivative of -2*k**5/45 + k**4/18 + 4*k**3/27 - 188. What is g in z(g) = 0?
-1, 0, 2
Let y(g) be the first derivative of 48/7*g + 216/7*g**3 + 198/7*g**2 - 729/28*g**4 - 173. Factor y(s).
-3*(3*s - 4)*(9*s + 2)**2/7
Let i = 1671/5 + -333. Suppose -28045 = -4*x - 28113, -43 = -3*f + 2*x. Solve -18/5 - i*s - 2/5*s**f + 2*s**2 = 0.
-1, 3
Let u(a) = 8*a**3 + 283*a**2 - 1025*a + 980. Let v(h) = -2*h**3 - 94*h**2 + 342*h - 328. Let t(z) = -4*u(z) - 14*v(z). Suppose t(l) = 0. What is l?
2, 42
Let j(x) be the second derivative of -2/3*x**3 + 8/15*x**6 + 1 - 26/5*x**5 - 8*x**2 - 20*x + 2/7*x**7 + 8*x**4. Factor j(m).
4*(m - 1)**3*(m + 4)*(3*m + 1)
Let q be (-1)/6 - (((-515)/6)/5 - (-208 + 195)). Factor -72/11*l + 114/11*l**2 - 48/11*l**3 + 6/11*l**q + 0.
6*l*(l - 4)*(l - 3)*(l - 1)/11
Suppose 276*x - 279*x = 54. Let d be (x/(-9) - 2)/(-1). Solve 4/5*p**4 - 8/5*p**2 - 2/5*p**5 + 6/5*p**3 - 8/5*p + d = 0 for p.
-1, 0, 2
Let p(v) be the second derivative of 0*v**6 + 0*v**2 - 1/10*v**5 + 1/105*v**7 - 114*v + 4/15*v**3 + 0 + 0*v**4. Suppose p(a) = 0. Calculate a.
-2, -1, 0, 1, 2
Let s(r) = r**2 + 183*r + 166. Let b(a) = 4*a**2 + 734*a + 658. Let y(f) = -2*b(f) + 9*s(f). Factor y(d).
(d + 1)*(d + 178)
Let f(r) = -6*r**2 - 3*r - 17. Let b(c) = -5*c**2 - 3*c - 16. Let m(j) = j**2 - 3*j - 25. Let p be m(6). Let i(h) = p*b(h) + 6*f(h). Factor i(