3 + 2473*c**2 + 2446*c. Let k(p) = -5*n(p) - 7*r(p). Determine g so that k(g) = 0.
-1, 0, 164
Let c(a) be the first derivative of -a**6/2700 - 19*a**5/450 - 43*a**3/3 - 3*a**2/2 + 48. Let o(v) be the third derivative of c(v). Factor o(j).
-2*j*(j + 38)/15
Suppose -3*x = 2*g - 16, 6 = -5*g + 4*x + 23. Let -6*l**4 - l**g + 1 - 15489*l**3 - 1 + 15480*l**3 = 0. What is l?
-3, 0
Let n be (-3)/2*-2 - -2. Suppose -4*x + 4 + 8 = -n*o, -9 = -3*x + o. Factor 5*d + 22 + 4*d**3 - x*d - 4*d**2 - 18 - 6*d.
4*(d - 1)**2*(d + 1)
Find x such that 2/13*x + 2/13*x**4 - 6/13*x**2 - 2/13*x**3 + 4/13 = 0.
-1, 1, 2
Let i(z) = -31*z - 87. Let t be i(9). Let h = 1837/5 + t. Find f, given that -1/5*f**3 - 2/5*f**2 + h*f - 4/5 = 0.
-4, 1
Let k(x) = -10*x**4 - 200*x**3 - 155*x**2 + 285*x - 530. Let c(f) = f**4 + 18*f**3 + 15*f**2 - 26*f + 48. Let b(o) = -65*c(o) - 6*k(o). Let b(s) = 0. What is s?
-1, 2, 3
Let m be (12/4 + -5 + 2)/(888 - 886). Suppose m + 13/3*c**2 - 3*c**5 - 53/3*c**3 + 43/3*c**4 + 2*c = 0. Calculate c.
-2/9, 0, 1, 3
Let v(q) be the third derivative of -q**5/480 - 5*q**4/6 - 53*q**3/16 + 1013*q**2. Factor v(m).
-(m + 1)*(m + 159)/8
Suppose 16*r - 166173 = -25*r. Factor -2025*f**3 - 2024*f**3 - 2*f**4 + r*f**3.
-2*f**3*(f - 2)
Let w = 12163 - 12161. Let b = -33 + 67/2. Let 2*l + b*l**w + 2 = 0. Calculate l.
-2
Let i = 50833/2 + -25416. Factor -c - i*c**3 + 1 + 5/4*c**4 - 15/4*c**2.
(c - 2)*(c + 1)**2*(5*c - 2)/4
Let c = 6637 - 19906/3. Solve -c*x**2 + 1/3*x**3 + 0 + 0*x = 0 for x.
0, 5
Let a(c) be the first derivative of -1/5*c**3 + 45 + 0*c + 6/5*c**2. Let a(x) = 0. Calculate x.
0, 4
Suppose s + 5 = 8. Let q(d) = 3*d + 20. Let p be q(-6). Determine j so that 0*j**2 + 12*j**3 + 4*j**4 + s*j**2 - 4*j**5 - 10*j**p - 13*j**2 + 8*j = 0.
-2, 0, 1
Let n be -516 - 4/(4/(-5)). Let k = -1532/3 - n. Find b, given that -2/3*b + 1/3*b**2 + k = 0.
1
Let a(d) be the first derivative of 111 - 324*d + 387*d**2 + 89/3*d**3 + 5/8*d**4. What is r in a(r) = 0?
-18, 2/5
Factor 240 + 1/5*u**3 - 584/5*u + 67/5*u**2.
(u - 4)**2*(u + 75)/5
Suppose -3*t + t = -8. Factor -t*i**3 - 13 - 17 - 82 - 128*i - 44*i**2.
-4*(i + 2)**2*(i + 7)
Suppose 5*x - 4*k - 54 = 0, -24 = -57*x + 55*x + k. Let l(b) be the first derivative of b**2 + 0*b + x + 1/3*b**3. Let l(w) = 0. Calculate w.
-2, 0
Let m be 65 + -54 + 120/(-11). Let j(q) be the first derivative of 10 + m*q**3 - 1/55*q**5 - 1/44*q**4 + 1/22*q**2 - 2/11*q. Determine p, given that j(p) = 0.
-2, -1, 1
Factor -5*y**5 + 67337*y**2 - 7312*y**2 - 4831*y**3 - 4724*y**3 - 465*y**4.
-5*y**2*(y - 5)*(y + 49)**2
Let m(x) be the first derivative of -16/3*x**3 + 4/5*x**5 + 0*x + 14 - x**4 + 8*x**2. Determine s, given that m(s) = 0.
-2, 0, 1, 2
Let i = 1648047566/555 - 2969454. Let j = i - -14/111. Determine v, given that -9/5*v - 4/5 - j*v**2 - 1/5*v**3 = 0.
-4, -1
Let r(s) be the first derivative of s**3/9 + 1963*s**2/3 + 3853369*s/3 - 9741. Find o such that r(o) = 0.
-1963
Solve -2/3*s**3 + 866/3*s + 46/3*s**2 - 910/3 = 0 for s.
-13, 1, 35
Suppose y + 4*c + 54 = 6*y, 5*y = 5*c + 55. Let v be (y/(-15))/(2/(-12)). Factor 0*l + 0 - 2*l**3 + 6/5*l**v + 4/5*l**2.
2*l**2*(l - 1)*(3*l - 2)/5
Let s = 32 + 39. Find m, given that 51*m**5 + 59*m**3 - s*m**3 - 3*m**2 - 39*m**5 + 3*m**4 = 0.
-1, -1/4, 0, 1
Solve 2/3*c**2 - 202*c + 0 = 0.
0, 303
Let y(z) = z**2 - 37*z + 96. Let l be y(25). Let p = l - -206. Factor -1/3*n + 0 + 1/3*n**p.
n*(n - 1)/3
Let i(x) = -48*x**2 + 2154*x - 8574. Let z(w) = 3*w**2 - 135*w + 536. Let p(n) = -2*i(n) - 33*z(n). Solve p(h) = 0.
4, 45
Suppose -4*b + 28 = -4*w, -2*w = -b - 0*b + 12. Factor 4208*k**b + 14*k + 15 + 15 - 6 - 4206*k**2.
2*(k + 3)*(k + 4)
Let o(d) = 7*d**3 + 72*d**2 - 672*d + 1113. Let m(n) = 7*n**3 + 75*n**2 - 673*n + 1111. Let i(s) = 3*m(s) - 2*o(s). Let i(t) = 0. Calculate t.
-123/7, 3
Let y(j) = 77*j + 468. Let q be y(-6). Let k be 462/385 - q/5. What is u in -2/3*u**4 - 2/3*u**2 + 4/3*u**3 + 0 + k*u = 0?
0, 1
Let n(t) = -270*t**2 - 1617*t + 18. Let q be n(-6). Let x be 52/(-28) - -1*2. Factor 0*m + x*m**3 + 2/7*m**2 + q.
m**2*(m + 2)/7
Suppose 22*s + 36 - 124 = 0. Factor 3*m**4 - s*m**4 - 27*m**2 - m**4 + 31*m**2 + 2*m**3.
-2*m**2*(m - 2)*(m + 1)
Let o(b) = -3*b**3 - b**2 + b + 1. Let d(v) = 4*v**3 - 64*v**2 - 342*v - 434. Let j(m) = d(m) + 2*o(m). Factor j(p).
-2*(p + 2)*(p + 4)*(p + 27)
Suppose -y - 5 = -t, -7*t - 7 = -6*t - 5*y. Factor -35*d**2 - 230*d - 3*d**4 + t*d**4 - 247*d + 507*d.
5*d*(d - 2)*(d - 1)*(d + 3)
Let y = 777/4 - 1163/6. Let f(z) be the second derivative of -11/4*z**5 - 35/6*z**4 + 0 - 10/3*z**3 + 3*z - y*z**6 + 0*z**2. Factor f(v).
-5*v*(v + 2)**2*(5*v + 2)/2
Let k = -108 - -122. Determine z so that 18*z**2 - k - 4 - 8*z**2 - 19*z**2 - 83*z = 0.
-9, -2/9
Let s(f) = -600*f**2 + 11036*f - 40760. Let c(r) = -57*r**2 + 1051*r - 3882. Let h(j) = 52*c(j) - 5*s(j). Factor h(a).
4*(3*a - 22)**2
Let d = -128 - -140. Let v(t) = 2*t**3 + t**2 - t. Let r(w) = -9*w**3 - 11*w**2 - 4*w + 16. Let p(u) = d*v(u) + 3*r(u). Factor p(g).
-3*(g - 1)*(g + 4)**2
Let a be (6 - 13) + 506/(-22) + 35. Determine c so that -2/5*c**2 - 2/5*c**a + 2/5*c**4 + 2*c**3 - 8/5 - 16/5*c = 0.
-1, 2
Let d be 72/384 - (57/(-16) - -3). Factor -6 + d*x**2 - 17/2*x.
(x - 12)*(3*x + 2)/4
Let u(z) = 2*z**3 + 9*z**2 - 7. Let h be u(-4). Suppose 2*d = h*d. Let 3*k**2 + d*k**2 + 5*k**2 - 4*k**3 = 0. What is k?
0, 2
Factor 2/3*d**2 - 72 + 22/9*d**3 + 2/9*d**4 - 38*d.
2*(d - 4)*(d + 3)**2*(d + 9)/9
Let a(d) be the second derivative of 1/32*d**4 - 1/160*d**5 + 2 + 3*d - 27/16*d**2 + 3/16*d**3. Factor a(k).
-(k - 3)**2*(k + 3)/8
Solve -246*i - 3/2*i**2 - 489/2 = 0 for i.
-163, -1
Let q(v) be the third derivative of 4*v**7/105 + 43*v**6/120 + v**5/4 + 1419*v**2. Let q(x) = 0. Calculate x.
-5, -3/8, 0
Let t(p) be the second derivative of 0*p**4 - 2*p + 6*p**3 - 1/5*p**5 - 2 + 0*p**2. Determine w, given that t(w) = 0.
-3, 0, 3
Let j(c) be the second derivative of -c**5/4 - 775*c**4/12 - 4940*c**3 + 15210*c**2 - c - 1406. Suppose j(n) = 0. What is n?
-78, 1
Suppose 0 = -45*d + 25*d + 220. Suppose 3*q = y + 2, -y - 2*y + 5*q + 2 = 0. Factor -6*k**3 - 24*k**4 + 10*k**4 + 9 + k**5 + 16*k + 10*k**2 + d*k**y + 5*k.
(k - 3)**2*(k + 1)**3
Let j(k) be the third derivative of k**6/40 + 51*k**5/4 + 127*k**4/4 + 4634*k**2 + k. What is b in j(b) = 0?
-254, -1, 0
Suppose 876 = -41*z + 38*z. Let i = z - -296. Let 6/17*h**3 + 10/17*h**2 + 2/17*h + 0 - 18/17*h**i = 0. Calculate h.
-1/3, 0, 1
Determine d so that 339*d + 220*d**2 + 1376*d - 225*d**2 = 0.
0, 343
Let w(g) be the first derivative of -2*g**6/15 - 64*g**5 - 10613*g**4 - 1839016*g**3/3 + 1903336*g**2 - 9624416*g/5 - 347. Factor w(j).
-4*(j - 1)**2*(j + 134)**3/5
Let z(d) be the second derivative of d**6/30 - 341*d**5/20 + 12995*d**4/4 - 1519511*d**3/6 + 1442897*d**2 - 2575*d + 2. Factor z(q).
(q - 113)**3*(q - 2)
Let i(j) be the third derivative of j**6/360 + j**5/60 + j**3/2 - 2*j**2 - 22. Let l(y) be the first derivative of i(y). Determine d so that l(d) = 0.
-2, 0
Let m(n) = -20108*n - 563022. Let o be m(-28). What is p in 2916/5 + 594/5*p**o + 58/5*p**3 + 486*p + 2/5*p**4 = 0?
-9, -2
Let p(r) be the first derivative of -5*r**6/6 - 11*r**5 + 90*r**4 - 620*r**3/3 + 160*r**2 - 2769. Solve p(z) = 0 for z.
-16, 0, 1, 2
Let i(a) be the second derivative of 121*a**2 + 3/80*a**5 + 9*a + 385/6*a**3 + 67/24*a**4 + 0. Factor i(u).
(u + 22)**2*(3*u + 2)/4
Suppose -219 + 536 = 35*u + 212. Find m such that -24/7*m**2 + u*m - 15/7*m**3 + 18/7 = 0.
-2, -3/5, 1
Let j be ((-1365)/4212*3)/((-77)/88). Let -2/9*m**5 - 16/9 - 2/9*m**3 + 26/9*m**2 + 4/9*m - j*m**4 = 0. What is m?
-4, -2, -1, 1
Suppose -120*l - 17 = -118*l - d, -42 = 2*l + 4*d. Let u be 3/33 - 32/l. Suppose 5/4 + 5/4*m**u + 15/4*m + 15/4*m**2 = 0. What is m?
-1
Let o = -140551 - -140553. Determine p, given that 25/4*p**o - 5 - 5/4*p**4 - 15/4*p**3 + 15/4*p = 0.
-4, -1, 1
Factor -11*a**2 + 27 - 15 + 49*a**2 - 21*a**2 - 19*a**2 - 10*a.
-2*(a - 1)*(a + 6)
Suppose -25*i + 15550 = -44150. Find r such that -25600 - 1198*r**2 - 640*r - 1194*r**2 + i*r**2 = 0.
-80
Let 6*u + 8*u - 2161 + 32*u**2 + 14*u**3 - 6*u + 2161 = 0. What is u?
-2, -2/7, 0
Let j(v) = v**3 + 17*v**2 + v - 28. Let h be j(-13). Suppose -627*c + h*c = 16. Factor 1/5*u + u**c + 3/5*u**3 - 1/5.
