**5 = 0.
-2, -1, 0, 1
Let l(f) = -27*f**2 + 345*f + 810. Let k(r) = -138*r - 55 - 117 - 118 + 29 + 11*r**2 - 64. Let x(a) = -12*k(a) - 5*l(a). Factor x(w).
3*(w - 25)*(w + 2)
Let n = 544206 + -544202. Factor -1/4*t**3 - 3/2 + 13/4*t - 7/4*t**2 + 1/4*t**n.
(t - 2)*(t - 1)**2*(t + 3)/4
Let h(d) = -d**2 + 672*d - 110220. Let k(b) = 2*b + 1. Let s(l) = 3*h(l) - 12*k(l). Factor s(v).
-3*(v - 332)**2
Let y(s) be the third derivative of -1/720*s**6 - 6*s**2 + 0 - 1/2016*s**8 + 0*s**3 + 1/630*s**7 + 0*s**5 + 0*s**4 + 0*s. Determine f so that y(f) = 0.
0, 1
Suppose -65 + 44 = -g. Let y be ((-9)/(-6))/((g/8)/7). What is h in -14*h**4 + 24*h**3 - 6*h**4 + h**4 - y*h**5 - 20*h - 16*h**2 + 35*h**4 = 0?
-1, 0, 1, 5
Let j(v) = 2*v**2 + 20*v + 65. Let k be j(-5). Factor -12*d**3 + k*d**4 - 9*d**3 + 24*d**2 - 18*d**4.
-3*d**2*(d - 1)*(d + 8)
Factor 3/5*x - 966/5*x**2 + 966/5 - 3/5*x**3.
-3*(x - 1)*(x + 1)*(x + 322)/5
Let c be (4 + -3)*(-76 + 76). Let x(u) be the third derivative of 0*u**5 + 0*u**3 + 0*u - 1/12*u**4 + 1/80*u**6 - 31*u**2 + c - 1/420*u**7. Factor x(n).
-n*(n - 2)**2*(n + 1)/2
Let 37*m + 14 + 73/2*m**2 + 7/2*m**4 + 67/4*m**3 + 1/4*m**5 = 0. What is m?
-7, -2, -1
Factor -76 - 12 - 1681098*l + 72*l**2 + 1680718*l.
4*(2*l - 11)*(9*l + 2)
Let w(n) = -n**2 + n**2 - 31*n - 5*n**2 - 98. Let i = -162 - -158. Let u(l) = 4*l**2 + 30*l + 98. Let q(a) = i*w(a) - 6*u(a). Factor q(g).
-4*(g + 7)**2
Suppose 0 = -113*j - 3427 + 3879. Factor 0 + 3/4*s**5 + 3*s**2 + 3*s**j + 3/4*s + 9/2*s**3.
3*s*(s + 1)**4/4
Let l(w) be the second derivative of -w + 0*w**2 + 8/39*w**3 - 9 + 1/39*w**4 - 1/130*w**5. Factor l(z).
-2*z*(z - 4)*(z + 2)/13
Let o(n) be the first derivative of 50*n**2 + 40*n - 5/4*n**4 - 4*n**5 + 23 - 5/6*n**6 + 70/3*n**3. Suppose o(p) = 0. Calculate p.
-2, -1, 2
Let k be (-65)/(-26)*(-10)/(8 + -3). Let g be -2 + 9 + k - 5/3. Factor -1 + g*u**3 + 7/3*u - 5/3*u**2.
(u - 3)*(u - 1)**2/3
Let k = -6634 - -6634. Let p(g) be the second derivative of k - 1/4*g**5 + 24*g + 5/6*g**3 + 5/2*g**2 - 5/12*g**4. Let p(f) = 0. What is f?
-1, 1
Suppose 186 = 6*c + 25*c - 0. Let m(w) be the second derivative of -3/100*w**5 + 1/10*w**4 + 1/300*w**c + 3/20*w**2 + 0 - w - 1/6*w**3. Factor m(a).
(a - 3)*(a - 1)**3/10
Let c(l) be the first derivative of 2*l**5/35 - 11*l**4/14 + 16*l**3/7 - 4772. Factor c(x).
2*x**2*(x - 8)*(x - 3)/7
Let l(r) be the first derivative of 19 - 2*r**2 - 3*r**4 + 4/5*r**5 + 4*r**3 + 0*r. Factor l(x).
4*x*(x - 1)**3
Let f = 14/23 - 1652/69. Let c = f + 295/12. Factor 1/4*d**2 + c + 3/2*d.
(d + 1)*(d + 5)/4
Let a(t) = 1084*t + 82386. Let h be a(-76). Determine c, given that -3/5*c**h - 5292/5 + 252/5*c = 0.
42
Let p be (4/(-3))/((-76)/(-72) + -1). Let z be (-32)/264*6/p*6. Factor 50/11 + z*c**2 + 20/11*c.
2*(c + 5)**2/11
Let z be (0 + 6/(-8))/(19/(-76)). Let l be -1 - (-6)/z*2. What is r in 80 + 9*r**3 - 60*r + 11*r**3 - 15*r**l = 0?
-4, 2
Let a = -31387 - -941617/30. Let o(q) be the third derivative of 30*q**2 + 4/3*q**4 + a*q**6 + 0 + 71/60*q**5 + 2/3*q**3 + 0*q. Factor o(h).
(h + 2)*(4*h + 1)*(7*h + 2)
Let s(d) = -5*d**3 - d**2 - 7*d + 3. Let k be s(-3). Determine p so that -110*p**3 + 25*p**4 - 435*p**2 - 35*p + k*p + 140 - 275*p = 0.
-2, -1, 2/5, 7
Suppose -12 = 5*m + 3, -5*m + 1 = 4*i. What is h in 8 + 80*h**4 + 79*h**4 + i*h - 155*h**4 - 4*h**3 - 12*h**2 = 0?
-1, 1, 2
Find l, given that 35*l**3 - 2891/2*l**2 + 15435*l - 194481/4 - 1/4*l**4 = 0.
7, 63
Factor -15*h**4 + 229*h**3 - 12*h**4 - 490*h**3 - 7*h**2 - 53*h**2 - 3*h**5 + 189*h**3.
-3*h**2*(h + 2)**2*(h + 5)
Let f(y) be the first derivative of y**5/4 - 5*y**4/2 + 20*y**3/3 - 56*y - 12. Let g(w) be the first derivative of f(w). Factor g(t).
5*t*(t - 4)*(t - 2)
Let i(c) = -14 - 43*c + 2 + 86*c**3 - 85*c**3 + 11*c**2. Let o be i(-14). Factor -1/7*g**o + 0 + 0*g - 1/7*g**3.
-g**2*(g + 1)/7
Let x(i) = i**2 - i - 5. Let y be x(3). Let b be ((-32)/(-56))/((5 - y) + -1). Solve 0*t + b*t**3 - 2/21*t**4 + 2/7*t**2 + 0 = 0.
-1, 0, 3
Let i(x) = 32*x**2 + 1171*x + 15. Let t(o) = -6*o**2 - o - 3. Let w(d) = -i(d) - 5*t(d). Factor w(u).
-2*u*(u + 583)
Let b = 42 - 40. Factor -20*n**4 + 523*n - 539*n + 4*n**3 - 64*n**b - 77*n**3 + 5*n**3.
-4*n*(n + 1)*(n + 2)*(5*n + 2)
Let l(a) be the third derivative of -1/10*a**4 - 841/200*a**6 + 29/25*a**5 - 79*a - 2*a**2 + 0 + 0*a**3. What is b in l(b) = 0?
0, 2/29
Factor -169 - 18*r**2 - 3*r - 2*r**3 + 1 + 47*r + 81*r + 3*r.
-2*(r - 3)*(r - 2)*(r + 14)
Let u be 161/49 + 4*3/(-42). Let m(o) = 5*o**3 - o**2 - 2*o - 2. Let z(l) = 16*l**3 - 4*l**2 - 6*l - 6. Let d(x) = u*z(x) - 10*m(x). Factor d(p).
-2*(p - 1)*(p + 1)**2
Let n(i) = -3*i**2 + 2*i - 1. Let j(r) = r**3 - 57*r**2 - 409*r - 375. Let b(q) = 2*j(q) - 8*n(q). Factor b(v).
2*(v - 53)*(v + 1)*(v + 7)
Let h(a) be the second derivative of -a**4/48 - 35*a**3/12 + 71*a**2/8 + 163*a. Factor h(o).
-(o - 1)*(o + 71)/4
Let i = 35 - 11. Factor -24*y**2 - 41 - i + 5 + 29*y**2 - 5*y.
5*(y - 4)*(y + 3)
Suppose -2*a - 22 = 3*n, 0*a - 5*a - 2*n - 44 = 0. Let u be (2/a - (11 - 11))/(-1). Suppose -1/2 - u*t + 1/2*t**2 + 1/4*t**3 = 0. Calculate t.
-2, -1, 1
Let g = -258 + 258. Factor 0 - 6*a**2 - 3/5*a**3 + g*a.
-3*a**2*(a + 10)/5
Solve -44*l**4 - 37*l**3 - 259*l**3 - 498*l**2 - 180*l + 12*l**4 + 2*l**3 - 74*l**3 = 0 for l.
-10, -3/4, 0
Let n(j) = -5*j**2 - 111*j + 395. Let s(d) = -7*d**2 - 114*d + 396. Let z(y) = 4*n(y) - 3*s(y). Factor z(a).
(a - 98)*(a - 4)
Let x(w) = -w. Let b(t) = 3*t - 1. Let d(p) = b(p) + 5*x(p). Let a be d(-2). Determine l so that -3*l + 18*l**2 + 27*l**2 - 3*l - 4*l - 35*l**a = 0.
0, 2/7, 1
Let v(w) be the first derivative of 172 - 12*w**2 + 1/6*w**3 + 288*w. Suppose v(l) = 0. What is l?
24
Let i(m) be the first derivative of 236 + 0*m + 55/4*m**4 - m**5 - 30*m**3 + 0*m**2. What is o in i(o) = 0?
0, 2, 9
Let z(s) be the first derivative of -s**3/9 + 35*s**2/6 - 250*s/3 + 4937. Solve z(v) = 0 for v.
10, 25
Let j be (8/(-36))/((340/816)/((-10)/2)). Let f(u) be the first derivative of 18 + u**4 + j*u**3 + 0*u + 2*u**2. Determine d so that f(d) = 0.
-1, 0
Factor 2105*z**3 + 8587208*z - 535*z**4 - 503*z**3 + 537*z**4 + 223315500 + 31160142*z + 430890*z**2.
2*(z + 6)*(z + 265)**3
Let j(l) be the second derivative of l**4/12 + 5*l**3 + 29*l**2/2 + 6776*l. Suppose j(t) = 0. Calculate t.
-29, -1
Let l(c) = c**2 + 45*c + 88. Let m be l(-43). Let h(t) be the first derivative of 2/3*t**3 + 4*t - 3*t**m - 32. Solve h(j) = 0.
1, 2
Let g(j) be the first derivative of 7/16*j**4 - 3/40*j**5 + 11/6*j**3 + 7/8*j + 84 + 17/8*j**2. Find y, given that g(y) = 0.
-1, -1/3, 7
Suppose -1923*j + 132 = -1857*j. Factor 54/11 - 56/11*m + 2/11*m**j.
2*(m - 27)*(m - 1)/11
Determine g, given that -2/3*g + 40/3 - 2/3*g**2 = 0.
-5, 4
Let v(s) be the first derivative of 64*s**2 - 32*s**3 + 8*s**4 - 64*s - 4/5*s**5 + 224. Solve v(p) = 0 for p.
2
Suppose -149*t + 142*t = 10283. Let h = -7339/5 - t. Factor 0 - h*s - 2/5*s**3 + 8/5*s**2.
-2*s*(s - 3)*(s - 1)/5
Let i be ((-21)/126 - (-22 + 10)/(-36))*(-80)/15. Find g, given that -8/3*g - 2/3*g**2 - i = 0.
-2
Let s(p) = -p**3 + 32*p**2 + 67*p + 36. Let h = -1445 + 1479. Let j be s(h). Determine r, given that 104/17*r**j + 42/17*r + 4/17 = 0.
-1/4, -2/13
Factor -286*j**2 + 590*j**2 + 40*j**4 - 129*j - 49*j**2 - 123*j**3 - 43*j**4.
-3*j*(j - 1)**2*(j + 43)
Let r(u) be the first derivative of -16*u**2 + 80*u - 1859*u**5 - 104*u**2 - 25*u**4 + 80*u**3 + 1862*u**5 - 61. Factor r(l).
5*(l - 2)**3*(3*l - 2)
Let s(t) be the first derivative of -t**3/18 - 11*t**2/6 - 12*t - 1406. Factor s(r).
-(r + 4)*(r + 18)/6
Suppose 5*m + 4*l - 456 = 0, -3*m - 2*l = 2*l - 280. Let n be (-11*(-16)/m)/(1/2). Factor -5/2*r**n + 0 - 1/2*r**5 - 7/2*r**3 + 0*r - 3/2*r**2.
-r**2*(r + 1)**2*(r + 3)/2
Let t = -139115 - -139117. Factor 108*c**t - 400 + 2/5*c**4 + 58/5*c**3 + 280*c.
2*(c - 1)*(c + 10)**3/5
Let w(l) be the third derivative of l**10/40320 - l**8/4480 + l**6/960 + l**4/12 - 4*l**3 + 10*l**2 - 1. Let v(n) be the second derivative of w(n). Factor v(u).
3*u*(u - 1)**2*(u + 1)**2/4
Suppose 12 + 224 = -209*f + 425 + 438. Let -32/3*o + 98/3*o**2 - 2/3*o**5 + 38/3*o**4 - 34*o**f + 0 = 0. What is o?
0, 1, 16
Let t(b) = b**3 - 178*b**2 - 359*b - 180. Let w(v) = v**3 - 179*v**2 - 361*v - 181. Let q(r) = -3*t(r) + 4*w(r)