 + 2*l(k). Factor z(q).
-2*(q - 7)*(4*q - 1)
Suppose 4*u = -2*u + 2142. What is b in 176*b**3 - 96*b + 30*b**2 - u*b**3 + 178*b**3 + 96 = 0?
2, 4
Suppose -3*y = y + 5*j - 101, 5*j - 5 = 0. Let d be ((-9)/(-6))/(y/4736). Factor -d*s - s**2 + 296*s + 4.
-(s - 2)*(s + 2)
Let w(i) be the third derivative of -25*i**8/112 - 19*i**7/14 - 139*i**6/40 - 97*i**5/20 - 4*i**4 - 2*i**3 - 3*i**2 - 8. Factor w(z).
-3*(z + 1)**3*(5*z + 2)**2
Let g(o) be the third derivative of -o**5/80 - 15*o**4/16 - 125*o**3/8 - o**2 + 257. Factor g(a).
-3*(a + 5)*(a + 25)/4
Suppose 183*r - 73 - 209 = 84. Suppose 11 - 12*t - 1/4*t**3 + 15/4*t**r = 0. Calculate t.
2, 11
Let f(l) = 31 - 76 + 0*l + l - 6*l. Let n be f(-9). Factor -1/5*v**2 + 1/5 + n*v.
-(v - 1)*(v + 1)/5
Suppose 0 = -67*y + 583 - 382. Let 9/2 + y*b**3 - 6*b**2 - 3*b + 3/2*b**4 = 0. What is b?
-3, -1, 1
Factor -31/7*f - 1020/7 + 1/7*f**2.
(f - 51)*(f + 20)/7
Suppose 0 = -923*z + 551 + 1295. Factor -13/7*i**2 - 4/7*i**3 - 5/7 - z*i.
-(i + 1)**2*(4*i + 5)/7
Let f(s) = -s**2 + 6*s - 5. Let x be f(4). Suppose 0 = 4*h - x*z - 58, 0*h + 4*h + 3*z = 70. Factor 2*n**2 - h + 2968*n**3 + 10*n**2 - 2972*n**3.
-4*(n - 2)**2*(n + 1)
Let t(r) = -r + 24. Let g be t(0). Suppose y = -5*s + g, 8 = -s - 5*y + 8*y. Find p such that 20*p**2 + 22*p**2 - p**3 - 1 - 2*p**s - 39*p**2 + p = 0.
-1, 1/2, 1
Let j(r) = -538*r - 36032. Let n be j(-67). Let 32/7 + n*v + 4/7*v**3 + 10*v**2 = 0. Calculate v.
-16, -1, -1/2
Let c(z) be the second derivative of 27*z**6/40 - 99*z**5/40 + 19*z**4/12 - z**3/3 - 357*z. Solve c(x) = 0 for x.
0, 2/9, 2
Let s(q) be the first derivative of 2*q**6/3 + 36*q**5/5 + 8*q**4 - 368*q**3/3 - 192*q**2 + 1280*q - 746. Let s(j) = 0. What is j?
-5, -4, 2
Determine g, given that -26/9*g**2 + 16/3*g - 2/9*g**4 + 0 - 20/9*g**3 = 0.
-8, -3, 0, 1
Let a be (25/(-1650))/((-108)/5346). Factor -1/4*p**2 + p - a.
-(p - 3)*(p - 1)/4
Suppose p = -4*g + 2, 3*p - 3*g - 1 = 5. Determine i so that 23 - 23 + 16*i**p + 2*i**3 + 0*i + 32*i = 0.
-4, 0
Suppose 7*d - 43 + 15 = 0. Let c be 0/2 + (7 - d). Let 10*b**3 - 20 - 5*b**2 - 23*b**c + 25*b**4 - 22*b**3 + 40*b - 5*b**5 = 0. Calculate b.
-1, 1, 2
Determine u so that -4/3*u - u**2 + 0 + 1/3*u**3 = 0.
-1, 0, 4
Suppose 66*j**2 - 1551*j - 24*j**2 + 125 - 1384*j - 2*j**3 + 83 + 3187*j = 0. What is j?
-4, -1, 26
Let v = -331 - -333. Let a = 16/11 - -62/33. Find x such that 2 + 4/9*x**4 - a*x**3 - 22/3*x + 74/9*x**v = 0.
1/2, 1, 3
Let h(u) be the third derivative of -1/1848*u**8 + 0 + 0*u**4 + 1/1155*u**7 + 47*u**2 + 0*u + 0*u**3 - 2/55*u**5 + 2/165*u**6. Determine x, given that h(x) = 0.
-3, 0, 2
Let v be 7 - (80/4 + -16). Let w(t) be the second derivative of 5/2*t**5 - 2*t - 90*t**2 + 0 - 185/12*t**4 - 1/6*t**6 + 50*t**v. Solve w(g) = 0 for g.
2, 3
Factor 75*j**4 + 208930*j + 8*j**5 - 29160 + 195*j**4 - 213790*j + 28890*j**2 + 4855*j**3 - 3*j**5.
5*(j - 1)*(j + 1)*(j + 18)**3
Suppose 5*t - 16 - 24 = 0. Determine w, given that 8*w**5 + 12*w**5 - 18*w**5 - 8*w**2 - 8*w - 2 + 2 + 6*w**3 + t*w**4 = 0.
-2, -1, 0, 1
Let u(d) = -d**3 + 44*d**2 - 194*d - 36. Let t be u(39). Solve 3/10*i**2 - 1/5*i + 0 - 1/10*i**t = 0 for i.
0, 1, 2
Let u(y) = 2*y - 1. Let v(m) = 5 + 10*m + 57*m**2 - 4*m - 56*m**2. Let q(p) = 35*u(p) - 5*v(p). Factor q(g).
-5*(g - 6)*(g - 2)
Let r(y) = -y**3 - 8*y**2 - 12*y + 2. Suppose 0 = -3*i + 14 - 32. Let f be r(i). Factor 0*d**2 + 13 - f*d**2 + 0*d + 12*d + 1.
-2*(d - 7)*(d + 1)
Let m(s) = 30*s**3 - 2877*s**2 + 5208*s + 7968. Let n(g) = -3*g**3 + 287*g**2 - 521*g - 797. Let q(y) = 2*m(y) + 21*n(y). Factor q(u).
-3*(u - 89)*(u - 3)*(u + 1)
Let x(w) be the second derivative of -89*w + 11/16*w**4 + 27/80*w**5 + 1/4*w**3 + 0 + 0*w**2. Factor x(n).
3*n*(n + 1)*(9*n + 2)/4
Let o(t) be the first derivative of 2*t**3/13 + 29*t**2/13 - 20*t/13 + 1671. Determine a so that o(a) = 0.
-10, 1/3
Let f(x) be the second derivative of -x**4/3 - 50*x**3/3 + 108*x**2 - 131*x + 2. Factor f(s).
-4*(s - 2)*(s + 27)
Let z = 113 + -110. Determine g, given that -4*g**4 - 12*g**2 - 5*g**5 - 40*g - 8*g**2 + 9*g**4 + 30*g**z = 0.
-2, -1, 0, 2
Suppose -15*f + 13*f + 32 = -3*r, 80 = 5*f + 3*r. Let d(x) be the first derivative of -16 - 8/3*x**3 + 1/4*x**4 - f*x + 10*x**2. Suppose d(u) = 0. Calculate u.
2, 4
Factor -122/3 - 20*d + 1/6*d**2.
(d - 122)*(d + 2)/6
Let i = 1065440 - 5327198/5. Find a such that 2/5 + 2/5*a**3 - i*a - 2/5*a**2 = 0.
-1, 1
Let -1929*j - 3/2*j**2 - 1240347/2 = 0. What is j?
-643
Let c be 30 - 29/((-725)/(-20)). Determine g, given that 32/5 + c*g**2 + 22/5*g**4 - 112/5*g - 86/5*g**3 - 2/5*g**5 = 0.
1, 4
Let u(w) be the first derivative of -w**5/60 + 5*w**4/6 - 6*w**3 - 7*w**2/2 + w + 203. Let b(s) be the second derivative of u(s). Determine i so that b(i) = 0.
2, 18
Let s = -123 - -126. Factor -56 - 36*l - 8*l**2 - 3*l + 4*l**2 - 24*l + s*l.
-4*(l + 1)*(l + 14)
Let g = -1454511 + 1454513. Factor 0 + 3*x**g - 1/3*x**3 - 14/3*x.
-x*(x - 7)*(x - 2)/3
Factor -192/5 - 16*i**2 + 4/5*i**3 + 268/5*i.
4*(i - 16)*(i - 3)*(i - 1)/5
Let u(d) be the first derivative of 135 + 1/4*d**3 + 0*d + 1/32*d**4 - d**2. Factor u(z).
z*(z - 2)*(z + 8)/8
Let z be 2 + (-4 - -4)/(12/6). Let y(v) = -5*v**2 + 9*v + 2. Let f be y(z). Factor -8/3*h - 2/3*h**2 + f.
-2*h*(h + 4)/3
Let b be -8 + 1155/90 - 5/6. Suppose -2*p + 0*p = 4*a - 4, 0 = -2*p - 5*a + b. Factor 2/5*n**4 + 12/5*n**p - 8/5*n - 8/5*n**3 + 2/5.
2*(n - 1)**4/5
Factor 3*f**3 + 453 + 2*f - 47*f + 424 + 12*f**2 - 931.
3*(f - 3)*(f + 1)*(f + 6)
Let f(l) be the third derivative of -7*l**6/300 - 71*l**5/75 - 2*l**4/3 - l**2 + 354. Find i such that f(i) = 0.
-20, -2/7, 0
Let o(i) be the first derivative of 0*i**2 - 3/7*i**3 + 32 - 1/42*i**4 - 41*i. Let l(u) be the first derivative of o(u). Factor l(t).
-2*t*(t + 9)/7
Let m be -2 - ((-5)/20*-4 - -3). Let k be (-279)/(-180) + m/8. Suppose 8/5 + k*c**3 - 8/5*c + 2/5*c**4 - 6/5*c**2 = 0. Calculate c.
-2, 1
Let x(g) be the second derivative of g**7/63 - g**6/3 + 13*g**5/30 + 5*g**4/6 - 14*g**3/9 + 1478*g. What is s in x(s) = 0?
-1, 0, 1, 14
Let c = 68 + -68. Suppose 0*h + 4*h - 12 = c. Factor -3/4*o + 0 + 3/2*o**2 - 3/4*o**h.
-3*o*(o - 1)**2/4
What is i in 81/2*i**3 + 90*i + 0 - 132*i**2 + 3/2*i**4 = 0?
-30, 0, 1, 2
Let w(q) be the second derivative of q**6/160 - q**5/40 - q**4/32 + q**3/4 - 43*q**2 + 2*q - 15. Let v(d) be the first derivative of w(d). Factor v(o).
3*(o - 2)*(o - 1)*(o + 1)/4
Let c(o) = -o**4 + 12*o**2 - 52*o + 48. Let s(l) = -3*l**4 + l**3 + 36*l**2 - 156*l + 144. Let u(a) = -24*c(a) + 9*s(a). Factor u(m).
-3*(m - 3)*(m - 2)**2*(m + 4)
Let a(r) be the first derivative of 7*r**6/3 - 606*r**5/5 + 470*r**4 - 536*r**3 + 160*r**2 + 2157. Solve a(d) = 0.
0, 2/7, 1, 2, 40
Let u be 3*453/90 - 15. Let y(v) be the second derivative of 0 + 2/5*v**2 + 26*v - u*v**4 + 1/15*v**3. What is g in y(g) = 0?
-2/3, 1
Suppose 486 - 236*q**2 - 48*q + 249*q**3 - 6*q**4 - 19*q**2 - 228*q**2 + 3*q**4 - 201*q = 0. What is q?
-1, 1, 2, 81
Let f = -1/5531 + 11065/16593. Solve f*d**2 + 44/3*d + 14 = 0 for d.
-21, -1
Let b be 8/(-10) - 360/(-75). Let r be 2 - ((-38)/10 + (-2)/10). Suppose -5*a - 3*a**b + r*a + a**3 - 2*a + 3*a**2 = 0. What is a?
-1, 0, 1/3, 1
Suppose -157*m + 149*m = -1224. Factor -2*a - m + 308 - 155 + a**3 - a**2.
a*(a - 2)*(a + 1)
Let c be 136 + -2 - -10 - (-7 - -1). Solve -1137*f + 11*f**4 - 1137*f + 40 + 2174*f + 25*f**3 - c*f**2 + 24*f**4 = 0 for f.
-2, -1, 2/7, 2
Let w(t) = t**3 + 10*t**2 + 6*t - 19. Let o be w(-9). Solve 2637*y**2 - o*y - 32 - 4*y - 2635*y**2 = 0.
-2, 8
Let n = 385 + -379. Suppose -404 = -4*u + k, -5*u - 4*k + 640 = 156. Factor -91 - t**2 + u - 2*t**2 + n*t.
-3*(t - 3)*(t + 1)
Factor 2314*y + 50*y**3 - 165*y**2 + 87*y**4 - 92*y**4 - 2114*y - 80.
-5*(y - 4)**2*(y - 1)**2
Let r(y) be the third derivative of -y**6/200 - 29*y**5/50 - 167*y**4/40 - 11*y**3 - 31*y**2 - 4. Factor r(m).
-3*(m + 1)*(m + 2)*(m + 55)/5
Let s be -5 - 136/(-312)*(-23)/(-2). Let i(z) be the second derivative of 1/273*z**7 + 0 + s*z**4 + 5*z + 1/65*z**6 + 3/130*z**5 + 0*z**3 + 0*z**2. Factor i(t).
2*t**2*(t + 1)**3/13
Let m(p) be the third derivative of p**7/840 - 7*p**5/120 + p**4/4 + 5*p**3/3 + 5*p**2 - 5. Let f(a) be the first derivative of m(a). Let f(d) = 0. Calculate d.
-3, 1, 2
Let a(w) be the second deriva