353*y**2/8 + 88*y + 2222. Factor t(m).
(m - 352)*(m - 1)/4
Factor 976*a**3 - 213*a**2 - 2922*a**3 + 970*a**3 + 973*a**3.
-3*a**2*(a + 71)
Let f(n) = -46*n**2 + 9*n - 3. Let o(a) = a**2 + a - 2. Let x(c) = f(c) + o(c). Let y(t) = 2*t**2 + 1. Let i(s) = x(s) + 5*y(s). Factor i(d).
-5*d*(7*d - 2)
Let g(r) be the second derivative of -1/30*r**4 - 180*r**2 - 75*r + 0 + 4*r**3. Determine o, given that g(o) = 0.
30
Suppose 2/5*j**2 + 1968128/5 - 3968/5*j = 0. Calculate j.
992
Let m = 186954/1593155 + 28/93715. Find r such that -16/17*r**4 + 10/17*r - 32/17*r**2 + 0 + 36/17*r**3 + m*r**5 = 0.
0, 1, 5
Let q(l) be the second derivative of l**4/48 + 391*l**3/12 + 152881*l**2/8 + 272*l - 3. Let q(a) = 0. What is a?
-391
Determine s so that -28/3*s**2 - 379/3*s - 106/3 = 0.
-53/4, -2/7
Suppose -v + 2*k = -733, -5*v - k - 2018 = -5738. Let z = 3717/5 - v. Factor -8/5 - z*m**2 + 8/5*m.
-2*(m - 2)**2/5
Suppose -2*c - 4 = -3*x, -687*x + 684*x + 10 = 4*c. Let -4/3*d + 0*d**x + 1/3*d**3 + 0 = 0. What is d?
-2, 0, 2
Let q(o) = -12*o - 9. Let n be q(-1). Let p be n + 440/36 + 1. Determine i, given that -98/9*i**5 - 154/9*i**4 + 8/9 + p*i**2 + 64/9*i + 34/9*i**3 = 0.
-1, -2/7, 1
Solve 0*x + 118*x**3 - 2/3*x**5 + 0 + 0*x**2 + 352/3*x**4 = 0.
-1, 0, 177
Factor -105*s**3 - 76*s**2 - 288*s**2 + 6*s + 40*s**2 - 18 - 40*s - 203*s.
-3*(s + 1)*(s + 2)*(35*s + 3)
Let q(v) = v**3 - 512*v**2 - 547*v + 17444. Let m be q(513). Determine y so that 4/9 + 26/9*y + 22/9*y**m = 0.
-1, -2/11
Let q(y) = y**3 - 2*y**2 - 39*y + 13. Let d be q(9). Let z be 6/4 - d/(-916). Factor -1/4*u**2 + 0 + z*u.
-u*(u - 7)/4
Let c(x) be the first derivative of -x**6/6 - 6*x**5/5 + x**4/4 + 10*x**3 - 1792. Suppose c(i) = 0. Calculate i.
-5, -3, 0, 2
Let k = -75 + 12. Let p = k - -65. Let 58*h**5 + h**4 - 3*h + h - 5*h**4 + 4*h**p - 56*h**5 = 0. Calculate h.
-1, 0, 1
Let s(h) be the third derivative of -1 + 24*h**2 - 1/12*h**5 - 1/120*h**6 - 1/2*h**3 + 0*h - 7/24*h**4. Factor s(p).
-(p + 1)**2*(p + 3)
Let z(f) = f**2 + 2*f + 9. Let n(d) = 2 + 1 - 2 + 2. Let a(g) = -4*n(g) + z(g). Factor a(x).
(x - 1)*(x + 3)
Factor -3128*u**2 - 553 - 35*u**3 + 79*u**3 - 6416*u - 247 - 122*u**3 + 18*u**3.
-4*(u + 2)*(u + 50)*(15*u + 2)
Let v(w) = -2*w**2 - 9*w + 2. Let k(z) = z**2 - 2*z - 2. Let m(a) = k(a) + v(a). Factor m(j).
-j*(j + 11)
Factor -1/3*v**2 - 64/3 - 16/3*v.
-(v + 8)**2/3
Determine k so that 199*k + 1/2*k**2 + 39601/2 = 0.
-199
Let s(x) be the second derivative of 9*x**4/4 - 47*x**3/2 + 66*x**2 - 218*x + 7. Let s(d) = 0. Calculate d.
11/9, 4
Determine g so that 642670*g - 455625000 - 2*g**3 - 6750*g**2 + 865335*g + 1643891*g - 114396*g + 7*g**3 = 0.
450
Let p(a) = 15*a**2 - 107*a + 587. Suppose -f + 2*u + 20 = u, 96 = 4*f + 4*u. Let d(v) = -4*v**2 + 27*v - 147. Let x(t) = f*d(t) + 6*p(t). Factor x(b).
2*(b - 12)**2
Let i = 889/274 + -102/137. Factor i*o**2 - 1/3*o**3 - 7/6 - o.
-(o - 7)*(o - 1)*(2*o + 1)/6
Let a be (1030/721)/((-6)/(-7))*(81/(-45) - -3). Factor 2/15*p**a - 4/3*p + 14/5.
2*(p - 7)*(p - 3)/15
Let b(u) be the first derivative of -324*u + 36*u**2 - 4/3*u**3 + 91. Factor b(v).
-4*(v - 9)**2
Let y = 790/2583 - 52/2583. Find t such that -184/7*t + y*t**2 + 4232/7 = 0.
46
Let c = 24874 + -845789/34. Let o = c - -45/17. Solve -1/2 + o*x**2 + 0*x = 0 for x.
-1, 1
Solve 136/13*y + 22/13*y**3 + 80/13 + 84/13*y**2 + 2/13*y**4 = 0.
-5, -2
Let m be (-1115)/750 - (105/30 - 5). Let v(a) be the second derivative of 1/10*a**4 + 1/15*a**3 + m*a**6 + 3/50*a**5 + 0*a**2 + 0 + 33*a. Factor v(g).
2*g*(g + 1)**3/5
Determine u, given that 176/13*u**2 + 28/13*u**4 + 36/13 + 108/13*u**3 + 10*u + 2/13*u**5 = 0.
-9, -2, -1
Let v be 103376/(-2272) + (-230)/(-5). Factor -13/2*x**2 + 18*x + v*x**3 + 0.
x*(x - 9)*(x - 4)/2
What is i in 629*i**3 - 119*i**5 - 165*i**4 + 3370*i - 463*i**2 + 114*i**5 + 686*i**3 - 2852*i**2 - 1200 = 0?
-40, 1, 2, 3
Let f be (-9)/(-108)*(80/175)/8. Let s(r) be the third derivative of 0*r + f*r**5 + 13*r**2 + 1/7*r**3 - 1/21*r**4 + 0. Factor s(k).
2*(k - 3)*(k - 1)/7
Suppose 9800 = -l + 15*l. Let p = 700 - l. Let 2/17*g**4 + 2/17*g**2 - 4/17*g**3 + 0 + p*g = 0. Calculate g.
0, 1
Let s(t) = 2*t**2 + 25*t - 37. Let n be s(-14). Find i, given that -2*i**2 + 6 + 7*i**2 + 6*i + n*i**2 - 20*i - 2*i**3 = 0.
1, 3
Factor -1066/9 + 2/9*l**2 - 56/9*l.
2*(l - 41)*(l + 13)/9
Let p(q) be the third derivative of -3*q**5/10 + 103*q**4/8 - 91*q**3 + q**2 + 635. Determine w so that p(w) = 0.
2, 91/6
Let q(p) = -3*p**2 + 87*p - 90. Let u(j) = -2*j**2 + 86*j - 89. Let b = 336 + -331. Let l(r) = b*q(r) - 6*u(r). Factor l(c).
-3*(c - 1)*(c + 28)
Let f(t) be the second derivative of -1/30*t**6 - 6*t - 9*t**2 + 7/6*t**3 - 7/20*t**5 + 19/12*t**4 - 4. Let f(q) = 0. Calculate q.
-9, -1, 1, 2
Suppose 3*t = 3*r + 9, 2*t - 3*r = 2*r + 6. Suppose -53*g**2 - 69*g**2 - 66*g**2 - 2*g**t - 36 - 42*g + 172*g**2 = 0. What is g?
-3, -2
Solve 3*x**3 - 320760*x - 979220 - 6*x**3 - 5922 + 40358 - 1953*x**2 = 0 for x.
-324, -3
Suppose -j + 5*h + 27 = 0, 217 = 5*j - 4*h + 40. Suppose y + j = 41. Factor -7*l**2 - 32*l**3 + y*l + 2*l**3 + 2*l**3 - 16*l**4 - l**2.
-4*l*(l + 1)**2*(4*l - 1)
Let b(a) be the second derivative of a**6/3060 + a**5/1020 - 11*a**3 - a - 50. Let w(l) be the second derivative of b(l). Factor w(z).
2*z*(z + 1)/17
Determine i, given that 42 - 2/13*i**2 - 176/13*i = 0.
-91, 3
Let h = 67098 - 201293/3. Determine d, given that h*d**3 - 8/3*d**2 + 0*d + 0 = 0.
0, 8
What is w in -91*w + 372*w**2 - 7 + 999*w - 2*w**3 + 236*w + 775 - 2*w**3 = 0?
-2, -1, 96
Let z(d) be the third derivative of 4489*d**5/15 - 1273*d**4/3 + 722*d**3/3 - 39*d**2 + 2*d + 26. Factor z(i).
4*(67*i - 19)**2
Let m be (-77)/(1540/(-240)) + (-30)/3. Let n(t) be the first derivative of 0*t - 5/4*t**4 + 0*t**m + 2*t**3 + 33 + 1/5*t**5. Let n(u) = 0. Calculate u.
0, 2, 3
Let m(c) be the third derivative of -c**8/112 - 17*c**7/35 + 3*c**6/20 + 49*c**5/5 - 269*c**4/8 + 51*c**3 - 12*c**2 - 2*c + 108. Factor m(u).
-3*(u - 1)**3*(u + 3)*(u + 34)
Let f(w) be the third derivative of -w**9/1008 - w**8/112 - w**7/40 - w**6/40 - 31*w**3/3 - 61*w**2. Let g(z) be the first derivative of f(z). Factor g(b).
-3*b**2*(b + 1)**2*(b + 3)
Let o be (-11)/(-22)*(-4)/1 + -44. Let u be 236/306 + o/(-391). Factor -4/9 + u*h**3 - 10/9*h - 4/9*h**2 + 8/9*h**4 + 2/9*h**5.
2*(h - 1)*(h + 1)**3*(h + 2)/9
Factor -341/3 - 683/6*f - 1/6*f**2.
-(f + 1)*(f + 682)/6
Let k(v) = -12*v**2 + 24*v + 14. Let z(a) = 14*a**2 - 25*a - 18. Let w(y) = -3*k(y) - 2*z(y). Factor w(x).
2*(x - 3)*(4*x + 1)
Let i be -5*(-5)/100 - (-1118)/8. Factor -5*r**3 - 85*r - i*r + 0*r**3 - 30*r**2 + 4*r**3.
-r*(r + 15)**2
Let o(h) be the second derivative of 0*h**2 - 3/2*h**3 + 1/4*h**6 - 5/8*h**4 + 21/40*h**5 + 95*h + 0 - 1/28*h**7. Solve o(u) = 0 for u.
-1, 0, 1, 6
Let w = -1408646 - -1408648. Let 0 - 128/5*a - 2/5*a**w = 0. Calculate a.
-64, 0
Let s(l) be the first derivative of 33*l**5/40 + 339*l**4/8 + 756*l**3 + 4557*l**2 - 10290*l - 862. Factor s(a).
3*(a + 14)**3*(11*a - 10)/8
Let b be 60/225*(-30)/(-4). Solve 12 + s**2 + b*s**2 - 3*s + 8*s - 4*s**3 - s - 15*s**2 = 0.
-3, -1, 1
Let y(p) = -9*p**3 - 120*p**2 + 282*p - 141. Let j(q) = 11*q**3 + 116*q**2 - 285*q + 142. Let n(a) = 3*j(a) + 4*y(a). Determine b so that n(b) = 0.
-46, 1
Let k(i) be the second derivative of 7*i**6/30 + 793*i**5/20 + 1139*i**4/2 + 3856*i**3/3 + 832*i**2 + 2395*i. Solve k(b) = 0 for b.
-104, -8, -1, -2/7
Let w = -171071 - -171073. Suppose 0 - 2/13*c**3 + 6/13*c**w + 0*c = 0. Calculate c.
0, 3
Let q(d) = 39*d**2 + 2900*d - 4. Let z(i) = -9*i**2 + i + 1. Let k(p) = q(p) + 4*z(p). Let k(v) = 0. Calculate v.
-968, 0
Let n(i) = 43*i - 593. Let g be n(45). Let h = g - 1342. Determine p, given that h*p - 1/6*p**2 + 1/6 = 0.
-1, 1
Let x(h) be the third derivative of 5*h**8/42 - 23*h**7/105 - 13*h**6/20 + 4*h**5/15 + h**4/3 - 344*h**2. Find l such that x(l) = 0.
-1, -1/4, 0, 2/5, 2
Let q(w) be the third derivative of w**6/60 + 11*w**5/15 + 5*w**4/4 - 42*w**3 + 3698*w**2. Solve q(y) = 0.
-21, -3, 2
Suppose -7*g + 180 = -2*g. Let x = g - 34. Factor s**5 + 2*s**3 + x*s**4 - 3*s**4 - 3*s**3 - s**3.
s**3*(s - 2)*(s + 1)
Let o be (0 - 2)/(82/91061). Let c = -2218 - o. Determine s so that -32/5 - 8*s + 28/5*s**4 - 32*s**c + 204/5*s**2 = 0.
-2/7, 1