ive of 3*k**5/25 - 63*k**4/5 + 163*k**3/5 + 126*k**2/5 - 492*k/5 - 3278. Find r, given that t(r) = 0.
-1, 1, 2, 82
Let q(x) = 5*x**4 + 2*x**3 + 8*x + 2. Let l = 16 - 13. Let p(n) = -8*n**4 - 3*n**3 - n**2 - 15*n - 4. Let i(t) = l*p(t) + 5*q(t). Solve i(o) = 0 for o.
-1, 2
Let a(r) = 3*r + 52. Let v be a(-13). Factor -m**2 + 732 - 22*m - 696 + v*m.
-(m - 3)*(m + 12)
What is r in -3/4 - 49/4*r - 4*r**2 = 0?
-3, -1/16
Let z(s) be the second derivative of -s**7/14 + 49*s**6/10 + 459*s**5/20 + 155*s**4/4 + 26*s**3 + 589*s - 3. Factor z(l).
-3*l*(l - 52)*(l + 1)**3
Let w(h) = -12*h**3 - 45*h**2 - 27*h + 6. Let i(a) = 2*a**3 + 3*a**2 - 1. Let s(k) = -12*i(k) - w(k). Find v such that s(v) = 0.
-1, -1/4, 2
Find d such that 11/6*d**2 + 1/2 + 17/3*d = 0.
-3, -1/11
Suppose 0*l = 2*l - 6*l. Suppose l = -v - 40 + 308. Determine z, given that 25*z - z - 3*z**2 + v - 304 = 0.
2, 6
Let q be ((-3)/(-48))/((6 - 9)/618). Let a = -99/8 - q. Factor 1/8*y**2 + 0 + a*y.
y*(y + 4)/8
Let g = -13524 - -13528. Suppose -8/3*z**2 - 2/3*z**3 + 0 + 8/3*z + 2/3*z**g = 0. Calculate z.
-2, 0, 1, 2
Let m = -51415/2 + 462767/18. Determine i, given that -4/3*i**3 - m*i**2 + 0 + 0*i + 4/9*i**4 = 0.
-1, 0, 4
Let u be 22/2 + (4 - 6). Let a = -7 + u. Let 3*t**4 - 19*t + a*t**3 + 19*t + t**5 = 0. Calculate t.
-2, -1, 0
Let n = -214/11 - -653/33. Let u(p) be the second derivative of -9*p + 0*p**2 + 0 - n*p**3 + 1/6*p**4 + 1/5*p**5. Suppose u(q) = 0. Calculate q.
-1, 0, 1/2
Let j = -28 - -36. Let h(w) = 2*w - 11. Let i be h(j). Factor 0*f**3 - 10*f + 6*f - 12*f - 4 - 7*f**4 - 19*f**3 - 25*f**2 - f**i.
-(f + 1)**3*(f + 2)**2
Let z(f) be the third derivative of f**5/210 + 453*f**4/28 + 194*f**3/3 - 4368*f**2. Determine n so that z(n) = 0.
-1358, -1
Factor 255/2*q - 382/3 - 1/6*q**2.
-(q - 764)*(q - 1)/6
Suppose -2*q = -2*y - y + 8, -q = -2. Suppose 0 = -y*m + 5 + 35. Factor -2*v - 5*v - m + 4 - v**2.
-(v + 1)*(v + 6)
Let s = -692207 - -692207. Determine t, given that 8/7 - 6/7*t**2 - 2/7*t**3 + s*t = 0.
-2, 1
Let r be (-3861)/(-1144) - 6/16. Let w(x) be the first derivative of -12 - 7*x**2 + 1/3*x**r + 49*x. Factor w(a).
(a - 7)**2
Let q = 10449590/11 + -949956. Determine x, given that 70/11*x**3 + 72/11 - 70/11*x - q*x**2 + 2/11*x**4 = 0.
-36, -1, 1
Let q = -3988 + 11968/3. Suppose 35*o + 20 = 40*o. Factor -16/3*a**2 + q - o*a.
-4*(a + 1)*(4*a - 1)/3
Let r(v) be the first derivative of v**6/18 + 3*v**5/5 - 13*v**4/2 + 170*v**3/9 - 49*v**2/2 + 15*v + 1141. Factor r(f).
(f - 3)*(f - 1)**3*(f + 15)/3
Let t(j) = 55*j - 170. Let x be t(8). Suppose -40*a + 13*a + x = 0. Suppose 1 + 33/2*c**2 + a*c**3 + 15/2*c = 0. What is c?
-1, -2/5, -1/4
Let u(h) be the first derivative of -h**3/2 + 57*h**2 + 738*h + 1306. Find k, given that u(k) = 0.
-6, 82
Let r = 3312904/65 - 254838/5. Factor -r*i**2 + 76/13 + 74/13*i.
-2*(i - 38)*(i + 1)/13
Factor -47*v**4 + v**4 + 23*v**4 - 360 + 780*v - 37*v**4 + 285*v**3 + 5*v**5 - 670*v**2.
5*(v - 3)**2*(v - 2)**3
Let l(t) = -445*t**2 - 1530*t - 4. Let v(w) = -334*w**2 - 1531*w - 3. Let m(c) = -3*l(c) + 4*v(c). Let m(i) = 0. Calculate i.
-1534, 0
Let f(z) = -118*z - 120. Let y(j) = j**2 + 470*j + 478. Let s(a) = -9*f(a) - 2*y(a). Factor s(h).
-2*(h - 62)*(h + 1)
Factor 38/9*m**3 - 8/9 - 14/9*m**4 + 32/9*m + 2/9*m**5 - 50/9*m**2.
2*(m - 2)**2*(m - 1)**3/9
Let h = 1390106 + -1390101. Solve -96/5 + 12/5*p**4 + 3/5*p**h + 192/5*p - 33/5*p**3 - 78/5*p**2 = 0.
-4, 1, 2
Solve 2/9*q**2 + 216482/9 + 1316/9*q = 0 for q.
-329
Let c be (8 - 507/65)/((-14)/(-10)). Let l(r) be the second derivative of 0*r**3 + c*r**7 + 0 + 7*r + 4/15*r**6 - 1/3*r**4 - 1/10*r**5 + 0*r**2. Solve l(s) = 0.
-1, 0, 2/3
Let h be 52/((-10192)/2303) - -19. Factor -15/2*o + h + 1/4*o**2.
(o - 29)*(o - 1)/4
Let v(a) be the first derivative of a**6/540 + a**5/90 - a**4/27 - a**2 + 4*a + 41. Let t(l) be the second derivative of v(l). Find h, given that t(h) = 0.
-4, 0, 1
Let j(y) be the second derivative of 5*y**4/12 - 685*y**3/6 + 1330*y**2 - 1791*y. Suppose j(g) = 0. Calculate g.
4, 133
Suppose -82*h = -127*h - 10170. Let m = 228 + h. Factor -25/3 - 1/3*j**m - 10/3*j.
-(j + 5)**2/3
Find l, given that -37/8*l**4 - 3/2 - 43/2*l - 47/2*l**3 - 311/8*l**2 = 0.
-2, -1, -3/37
Factor -5*v**4 + 494*v**3 + 143982592*v + 112302553 + 1064*v**3 + 1770*v**3 - 1038336*v**2 + v**4 - 7599397337.
-4*(v - 208)**4
Let a(b) = 4*b**4 - 4*b**3 + 17*b**2 - 3*b - 29. Let i(m) = 5*m**4 - 4*m**3 + 19*m**2 - 8*m - 30. Let y(n) = 6*a(n) - 5*i(n). Solve y(l) = 0 for l.
-4, -3, 1, 2
Let k(u) be the second derivative of u**6/204 + 8*u**5/255 + u**4/68 - 13*u**2/2 - 37*u. Let c(j) be the first derivative of k(j). Let c(l) = 0. What is l?
-3, -1/5, 0
Let w(g) be the first derivative of 30*g**2 + 0*g + 3/4*g**4 + 3/5*g**5 - 16*g**3 - 70. Solve w(z) = 0.
-5, 0, 2
Suppose 4*w + 17 = 3*z, -13*z + 2*w + 19 = -8*z. Suppose 9*a**2 + 30*a**z + 51*a**2 - 8*a + 3 + 54*a + 2*a**3 - 15*a = 0. Calculate a.
-1, -3/4, -1/8
Let k(n) be the second derivative of 5*n**4/12 - n**3/6 - 7*n**2/2 - 21*n. Let j be k(-2). Determine c so that -j*c**3 - 29 - 9*c**2 + 29 + 6*c = 0.
-1, 0, 2/5
Factor -20*o**3 - 5*o**2 - 360 - 21*o**2 - 20*o**2 - 308*o + o**4 + 37*o**3 + 12*o**2.
(o - 5)*(o + 2)**2*(o + 18)
Let s be -2 + 11 - 15/(-30)*-18. Let w(p) be the third derivative of 0 - 1/80*p**5 - 14*p**2 + s*p + 1/320*p**6 + 1/64*p**4 + 0*p**3. Find j such that w(j) = 0.
0, 1
Let s(m) be the second derivative of m**4/42 + 11*m**3 + 155*m + 26. Factor s(f).
2*f*(f + 231)/7
Factor 1133/3*p**2 - 2263/3*p - 1/3*p**3 + 377.
-(p - 1131)*(p - 1)**2/3
Let m(a) be the third derivative of 1/360*a**6 - 3*a + 5*a**2 + 7/180*a**5 + 4/9*a**3 + 7/36*a**4 + 0. Suppose m(y) = 0. What is y?
-4, -2, -1
Let k be 5*(-92)/1035 - (-5)/9. Determine w so that 0*w + k*w**2 + 0 - 1/9*w**4 + 0*w**3 = 0.
-1, 0, 1
Suppose 2*h - 140 = -26*h. Suppose 79 = -h*t + 89. Factor 0 + 0*p**t + 7/3*p**3 + 1/3*p**4 + 0*p.
p**3*(p + 7)/3
Let c(s) be the first derivative of 0*s + 2/25*s**5 + 0*s**2 - 30 + 0*s**3 + 2/5*s**4. Factor c(y).
2*y**3*(y + 4)/5
Let l(h) = 155*h**3 + 12*h**2. Let j(f) = 5*f**3 + f**2. Let d(v) = -2*j(v) + l(v). Factor d(w).
5*w**2*(29*w + 2)
Suppose 2*s - 12*s = 85*s + 13*s - 216. Factor -10/11*c - 4/11 + 6/11*c**s.
2*(c - 2)*(3*c + 1)/11
Let t(u) = 2*u**2 - 6004*u - 24034. Let f be t(-4). Factor 88*i + f*i**2 + 968/7.
2*(7*i + 22)**2/7
Suppose -19*n - 72 = -11*n. Let o be 6/15 - n/(360/(-16)). Factor o*v**2 - 4/9*v**3 + 16/3*v - 64/9.
-4*(v - 2)**2*(v + 4)/9
Let q(h) = 15*h**2 + 666*h + 4311. Let i(t) = -3*t**2 - 166*t - 1078. Let m(l) = -9*i(l) - 2*q(l). Factor m(w).
-3*(w - 60)*(w + 6)
Let w = 575 + -572. Suppose 2*m - 3*z - 16 = -z, -2*z = -m + 11. Factor -45*n + m + 68*n**w + 75*n**2 + 50*n**3 + 7*n**3.
5*(n + 1)*(5*n - 1)**2
Let r(w) be the first derivative of 14 + 13/7*w**2 - 2/21*w**3 - 44/7*w. Factor r(z).
-2*(z - 11)*(z - 2)/7
Let y be (40/900)/((-1)/(-4955)) + 6. Let p = y - 226. Factor 2/9*b**5 - p*b**3 - 2/9*b**4 + 0*b + 2/9*b**2 + 0.
2*b**2*(b - 1)**2*(b + 1)/9
Let r(y) = -y**3 + 6*y**2 + 878*y + 4838. Let q be r(-6). Factor -9/2 - 5*x - 1/2*x**q.
-(x + 1)*(x + 9)/2
Let a = 82614 - 82610. Let j**3 - 2/3*j - 1/3*j**5 + 0 - 1/3*j**a + 1/3*j**2 = 0. Calculate j.
-2, -1, 0, 1
Let c be 984/(-12136) + (-601)/(-111). Let 1/3*n**2 - 17/3*n + c = 0. Calculate n.
1, 16
Let b(g) be the second derivative of -g**6/1140 + g**5/285 + 11*g**4/228 - 4*g**3/19 + 83*g**2/2 - 73*g. Let j(i) be the first derivative of b(i). Factor j(k).
-2*(k - 4)*(k - 1)*(k + 3)/19
Let g(u) be the third derivative of -7*u**2 - 64/3*u**3 - 4/5*u**5 - 1/420*u**7 - u - 1/15*u**6 + 0 - 16/3*u**4. Factor g(x).
-(x + 4)**4/2
Let g be 324/(-180) + 703/185. Find h such that 0*h - 1/7*h**4 + 0 + 9/7*h**g + 0*h**3 = 0.
-3, 0, 3
Let h be (1 - (-19)/38)*(-2 + 13/6). Suppose -3/2 - 1/4*n + h*n**2 = 0. What is n?
-2, 3
Let j(n) = -3*n**3 - 90*n**2 - 330*n - 246. Let k(m) = -6*m**3 - 181*m**2 - 661*m - 491. Let o(q) = 5*j(q) - 3*k(q). Suppose o(s) = 0. Calculate s.
-27, -3, -1
Let o(c) be the first derivative of -c**4/12 - 11*c**3/6 - 9*c**2 + 171*c - 102. Let a(x) be the first derivative of o(x). Factor a(r).
-(r + 2)*(r + 9)
Let r(z) be the second derivative of z**10/30240 - z**8/3360 + z**6/720 + 17*z**4/3 + z**3/6 - 44*z + 