 -273 = 3*n + 46*x - 325. Determine v, given that 2/3*v**5 - 164/3*v**4 + 2296*v**n + 0 + 3194/3*v**3 + 1176*v = 0.
-1, 0, 42
Factor -3/4*s**3 + 1911/4*s**2 - 3813/4*s + 1905/4.
-3*(s - 635)*(s - 1)**2/4
Let v(a) be the first derivative of -a**4/22 + 254*a**3/33 - 251*a**2/11 + 250*a/11 + 4926. Suppose v(s) = 0. Calculate s.
1, 125
Let o(v) = v**3 - 7*v**2 + 13*v - 6. Let a be o(5). Suppose -58*d**2 - 30 - 11*d**2 + 81*d + 9*d**2 + a*d**3 = 0. Calculate d.
2/3, 1, 5
Let g be (1 - 8) + 65*13/110. Let m = -2/11 + g. Factor 1/2*o**2 + 0 + 0*o + 1/2*o**3 - m*o**4 - 1/2*o**5.
-o**2*(o - 1)*(o + 1)**2/2
Factor 1065*y**2 - 721*y + 2*y**3 + 251*y**2 + 1308 + 2*y**3 + 1615*y + 1726*y.
4*(y + 1)**2*(y + 327)
Suppose 42 = -2*z + 24*o, -2*z + 4*o - 9*o + 16 = 0. Suppose 0*l**z + 4/9*l**4 + 2/9*l**5 - 4/9*l**2 + 0 - 2/9*l = 0. What is l?
-1, 0, 1
Determine v so that -72*v**4 + 2564*v + 7300*v**2 - 604 - 520*v**2 - 146 + 3596*v**3 + 182 + 20*v**4 = 0.
-1, 2/13, 71
Let b = 46 - 37. Let f(m) = 2*m + 11. Let c be f(b). Determine s, given that -10 - 7*s**2 + 21*s**2 + 35*s - c*s**2 = 0.
1/3, 2
Let r(x) be the first derivative of -1/12*x**3 - 17/2*x**2 - 289*x - 47. Suppose r(o) = 0. What is o?
-34
Find p, given that 27764/5*p**3 - 11108/5*p + 2*p**4 + 0 - 16666/5*p**2 = 0.
-2777, -2/5, 0, 1
Let t(s) be the second derivative of s**4/24 + 169*s**3/3 + 28561*s**2 + 397*s + 1. Determine u, given that t(u) = 0.
-338
Let l = 416957 - 1250869/3. Find x, given that 1/3*x**2 - x + l = 0.
1, 2
Let j be (-6)/(-15) + -1 + 7/((-1925)/(-415)). Let v(p) be the first derivative of -26/33*p**3 - j*p**4 + 0*p - 2/11*p**2 - 14. Let v(i) = 0. What is i?
-2/5, -1/4, 0
Let a(i) = 4*i**5 + 4*i**3 + 6*i**2 - 5*i - 3. Let s(v) = 3*v + v**5 + v**2 + v**4 - 1 - 11*v + 5*v + v**3 + 2*v. Let l(f) = -a(f) + 3*s(f). Factor l(k).
-k*(k - 2)*(k - 1)**2*(k + 1)
Factor -119 - 186 - 641 + 4*g**2 - 174 + 108*g.
4*(g - 8)*(g + 35)
Let j(a) be the third derivative of a**6/108 + 16*a**5/135 + 13*a**4/27 + 16*a**3/27 + 201*a**2. Solve j(t) = 0.
-4, -2, -2/5
Let v(x) be the second derivative of 7*x**6/50 + 167*x**5/100 - 2*x**4/5 - 22*x**3/5 - 16*x**2/5 - 5393*x. Solve v(k) = 0.
-8, -2/3, -2/7, 1
Suppose -14 - 25 = -13*t. Factor -24*b**3 - 13*b**4 + 9*b**4 - 45 - b**4 - 16*b**t - 110*b**2 - 120*b.
-5*(b + 1)**2*(b + 3)**2
Let j(k) be the first derivative of k**6/2 - 111*k**5/5 + 423*k**4/2 - 884*k**3 + 1884*k**2 - 2016*k - 4443. Find l, given that j(l) = 0.
2, 3, 28
Let r(g) = -3*g**3 - 14*g**2 - 61*g - 78. Let h(p) = -p**3 - 2*p - 3. Let f(v) = -6*h(v) + 3*r(v). Factor f(x).
-3*(x + 3)**2*(x + 8)
Let q = 7021746/13 + -540134. Find i, given that 2/13*i**5 - 14/13*i**3 + 0 + q*i**4 + 24/13*i - 16/13*i**2 = 0.
-3, -2, 0, 1, 2
Let n(z) = -722*z**2 - 4*z + 3. Let t be n(-1). Let y = -711 - t. Factor 0 + 1/3*f**y + 0*f**2 + f**3 - 4/3*f.
f*(f - 1)*(f + 2)**2/3
Let h = -1928 + 1930. Let n(c) be the second derivative of 1/14*c**7 + 0*c**3 - 9*c + 0*c**h + 0 - 1/4*c**4 + 1/10*c**6 - 3/20*c**5. Solve n(p) = 0.
-1, 0, 1
Let o = 1250 + -1246. Let x(n) be the second derivative of 0 - 7/20*n**5 + 8/3*n**3 - 2*n**2 + 17*n - 5/12*n**o. Suppose x(h) = 0. Calculate h.
-2, 2/7, 1
Let r(u) = 3*u - 13. Let h be r(5). Let p be (12 - h)*(-12)/(-3). Find z, given that -2*z**2 + z**3 + p*z + 2*z**3 - z**3 - 44*z = 0.
-1, 0, 2
Solve -71/7*w**3 + 142/7 + 3/7*w**2 - 1/7*w**4 + 215/7*w = 0 for w.
-71, -1, 2
Let o be (-15)/12*2 - (3 + 2301/(-416)). Let k(f) be the third derivative of o*f**4 + 0*f - 5*f**2 + 1/160*f**5 - 3/16*f**3 + 0. Let k(v) = 0. What is v?
-3, 1
Suppose -1284*g + 16 + 68 = -1277*g. Find u, given that g*u**3 + 14/9*u**4 - 64/9*u + 64/3*u**2 + 0 = 0.
-4, 0, 2/7
Suppose -5*v + o = -49, -5*v - 5*o + 16 = -v. Let y be 2/v - (-86)/18. Find k such that 55*k**4 + y*k**5 - 55*k**4 - 5*k**3 = 0.
-1, 0, 1
Let a(j) = 5*j**3 - 300*j**2 + 200*j - 10. Let p(y) = 2*y**3 + y**2 - 2*y + 2. Let g(m) = a(m) + 5*p(m). Factor g(b).
5*b*(b - 19)*(3*b - 2)
Let y(q) be the third derivative of -3/4*q**4 - 1/10*q**5 + 0*q - 2 - 5/3*q**3 + 1/60*q**6 - 28*q**2. Factor y(s).
2*(s - 5)*(s + 1)**2
Suppose 47*a + 9 = 1372. Factor -34 - a + 48*f - 3 - 50 - 12 - 4*f**2.
-4*(f - 8)*(f - 4)
Let o = 11663/10297 + 15/1471. Let u = 5/29 - -197/203. Factor -20/7*h - 4/7*h**2 - o + u*h**3.
4*(h - 2)*(h + 1)*(2*h + 1)/7
Let z(i) be the third derivative of -i**6/60 + 11*i**5/105 - 17*i**4/84 + 2*i**3/21 - 2130*i**2. Factor z(q).
-2*(q - 2)*(q - 1)*(7*q - 1)/7
Let v(i) be the second derivative of -9*i**5/4 + 95*i**4/6 + 185*i**3/6 - 25*i**2 - 569*i. Factor v(h).
-5*(h - 5)*(h + 1)*(9*h - 2)
Let y(j) be the first derivative of j**5/360 + j**4/12 + 11*j**3/36 + 5*j**2/2 - 2*j + 17. Let w(r) be the second derivative of y(r). Factor w(b).
(b + 1)*(b + 11)/6
Let a be ((-565)/(-226))/((-170)/(-969)). Factor 3/4*c**2 + 0 + a*c.
3*c*(c + 19)/4
Suppose 2*q + 2*a = 0, 7*a = -4*q + 8*a + 10. What is t in 27 + 9*t**5 + 9*t**4 - 3*t**q + 2*t**3 + 6*t**4 + t**3 - 27 = 0?
-1, 0, 1/3
Let k(d) = 2*d**2 + 58*d - 24. Let f(i) = 4*i**2 + 116*i - 40. Let q(a) = 3*f(a) - 5*k(a). Factor q(z).
2*z*(z + 29)
Suppose -5*c = -2*c - 3*g - 33, 4*g + 11 = c. Suppose s + c - 14 = 0. What is o in 3*o**3 - 4*o**3 - 9*o + o**3 - 3*o**s + 9*o**2 + 3 = 0?
1
Let q = 682 + -661. Suppose -29*m + q*m + 40 = 0. Suppose -3/4*x**4 + 7/4*x**2 - 1 - 1/4*x**3 + 0*x + 1/4*x**m = 0. Calculate x.
-1, 1, 2
Suppose -70592 - 144*c + 142214 - 3*c**5 + 123*c**4 + 147*c**3 - 70866 - 879*c**2 = 0. What is c?
-3, -1, 1, 2, 42
Let d(m) be the third derivative of 3*m**6/50 - 38*m**5/75 - 397*m**4/30 + 12*m**3 + 1591*m**2. What is p in d(p) = 0?
-5, 2/9, 9
Let y(g) be the second derivative of g**6/6 - 93*g**5/2 - 235*g**4 - 1415*g**3/3 - 945*g**2/2 - 3*g + 15. Suppose y(s) = 0. What is s?
-1, 189
Let m(u) be the first derivative of -6*u**2 - 13*u + 7 - 1/4*u**4 + 2*u**3. Let k(t) be the first derivative of m(t). Find s, given that k(s) = 0.
2
Suppose -15 = -5*h + 5*v, 5*h + 5*v - 35 = -10. Suppose 0 = -5*a + g + 20, h*a - g + 4 - 19 = 0. Solve j - 5/2*j**2 + 0 + 1/2*j**4 + 3/2*j**3 - 1/2*j**a = 0.
-2, 0, 1
Let y(m) be the third derivative of 2*m**2 + 17/60*m**5 - 1/3*m**3 + 0*m - 5/8*m**4 + 6. Factor y(g).
(g - 1)*(17*g + 2)
Let h(n) be the first derivative of 99 - 10/3*n**6 + 67/2*n**4 + 0*n + 112/3*n**3 + 2/5*n**5 + 12*n**2. Determine a, given that h(a) = 0.
-2, -1/2, -2/5, 0, 3
Let t = -12046 - -12048. Let q be (0*(-4)/32)/(-2*1). Factor q + 2/19*x**5 - 4/19*x**t + 0*x + 0*x**4 - 6/19*x**3.
2*x**2*(x - 2)*(x + 1)**2/19
Let p = 518030 + -518026. Factor -1/4*t**3 - 45/4*t + 81/2 - p*t**2.
-(t - 2)*(t + 9)**2/4
Determine t so that 1/3*t**4 - 8/3*t**3 - 22/3*t + 8/3 + 7*t**2 = 0.
1, 2, 4
Let o(b) be the second derivative of 30*b**2 + 32*b - 5/4*b**4 + 1/4*b**5 + 1 - 10/3*b**3. Factor o(z).
5*(z - 3)*(z - 2)*(z + 2)
Let s = 115/393 - -311/131. Determine h so that s*h + 8 - 2/3*h**2 = 0.
-2, 6
Suppose 0 = -9*y - 11*y + 80. Factor -184*r**2 + 183*r**2 - 7 - r + y + 3.
-r*(r + 1)
Factor 0 - 39*y**2 + 1/2*y**4 + 5/2*y**3 + 36*y.
y*(y - 6)*(y - 1)*(y + 12)/2
Let x(t) = 8*t**4 - 4904*t**3 + 507536*t**2 - 1325184*t + 659340. Let d(v) = v**4 - 5*v**2 + 1. Let g(s) = 4*d(s) + x(s). Solve g(q) = 0 for q.
2/3, 2, 203
Let i(k) = 2*k**2 + k - 6. Let t(u) = -2*u**2 + 14*u - 198. Let y(d) = 2*i(d) + t(d). Solve y(s) = 0 for s.
-15, 7
Let b(d) be the third derivative of -1/135*d**6 + 1/1512*d**8 + 0*d**7 + 54*d - 1/135*d**5 + 2/27*d**3 + 1/36*d**4 + d**2 + 0. Suppose b(r) = 0. Calculate r.
-1, 1, 2
Let v(f) = -3*f**2 + 4*f - 3. Let l be v(1). Let p be (-1)/((4 - l)*17/(-51)). Determine t, given that 1/4*t**5 + 3/4*t**4 - p*t - 3/4*t**2 + 0 + 1/4*t**3 = 0.
-2, -1, 0, 1
Factor 12 + 4/3*x - 1/3*x**3 - 3*x**2.
-(x - 2)*(x + 2)*(x + 9)/3
Let w(d) be the first derivative of d**6/90 + 3*d**5/5 + 16*d**4/3 - 67*d**3/3 - d**2 + 14. Let s(u) be the third derivative of w(u). Factor s(l).
4*(l + 2)*(l + 16)
Let x(c) be the first derivative of -c**4/2 + 46*c**3/3 - 16*c**2 - 264*c + 639. Find i such that x(i) = 0.
-2, 3, 22
Suppose 2*c = -842 + 254. Let p be c/84*3/(63/(-24)). Suppose 40/7*w + 36/7*w**2 + 2/7*w**p + 2*w**3 + 16/7 = 0. What is w?
-2, -1
Let r = 382 - 132. Let g be (1*-3)/((-375)/r). Solve -4/15 + 22/5*w**3 + g*w - 74/15*w**2