Let i(n) = 3*m(n) + s(n). Factor i(w).
4*(w - 5)**2*(10*w + 3)**3
Let g(b) be the first derivative of -3*b**3 + 3/4*b**4 + 55 + 3/5*b**5 + 6*b - 3/2*b**2. Factor g(f).
3*(f - 1)**2*(f + 1)*(f + 2)
Solve 20*n**2 + 13*n**5 + n**5 + 0*n - 5*n**4 + 13*n**5 + 24*n - 2*n**3 - 28*n**5 = 0.
-3, -2, 0, 2
Suppose -3*b + 57 = r, -3*r - 2*b + 126 = -73. Factor 124*y - 8 + 12*y - 137*y**2 - 372*y**2 - r*y**2.
-2*(17*y - 2)**2
Let r = 292 - 116. Determine w so that -4*w**5 - r*w**2 + 176*w**2 - 4*w**4 = 0.
-1, 0
Let w = -60 - -46. Let t(u) = 11*u**2 - 12*u. Let v(s) be the second derivative of -5*s**4/12 + s**3 + 4*s. Let k(n) = w*v(n) - 6*t(n). Solve k(r) = 0 for r.
0, 3
Factor -199 + 44*a + 167 + 86*a**2 + 10*a**3 + 0*a**3.
2*(a + 1)*(a + 8)*(5*a - 2)
Let g(x) = -4*x**4 + 14*x**3 + 24*x**2 - 41*x - 7. Let o(s) = -s**4 + 5*s**3 + 8*s**2 - 14*s - 2. Let y(l) = 2*g(l) - 7*o(l). Factor y(m).
-m*(m - 1)*(m + 4)**2
What is j in 4 + 1/4*j**5 - 2*j**2 - 7/4*j**4 + 4*j**3 - 4*j = 0?
-1, 2
Let p(m) be the second derivative of m**6/6 + 27*m**5/4 + 325*m**4/4 + 845*m**3/6 + m - 6. Solve p(f) = 0.
-13, -1, 0
Let t(y) be the first derivative of -y**5/10 + 21*y**4/8 - 27*y**3 + 135*y**2 - 324*y - 200. Factor t(c).
-(c - 6)**3*(c - 3)/2
Let i(u) be the second derivative of u**5/40 - 27*u**4/8 - 41*u**3/6 - 22*u - 1. Factor i(d).
d*(d - 82)*(d + 1)/2
Solve 24*m + 36/7 + 9/7*m**4 + 12*m**3 + 207/7*m**2 = 0 for m.
-6, -2, -1, -1/3
Let w = -7 - 92. Let z be 4/6*w/(-22). Find f such that 6*f**2 - 4*f**2 + 0*f**z - 1 - 3*f**4 + 3*f + 2 - 2*f**3 - f**5 = 0.
-1, 1
Let y(w) = w**3 + 10*w**2 + 8*w + 2. Let l be y(-9). Let o = 15 - l. Factor o - 4 + 6*v**2 - v - 7*v**2.
-v*(v + 1)
Let s = -71 + 151. Suppose -8*d - 56 = -s. Determine n, given that -2 + 1/4*n**d - 3/2*n**2 + 3*n = 0.
2
Let h(p) be the third derivative of p**6/480 - 7*p**5/240 + p**4/12 + 2*p**3/3 + p**2 - 26*p. Factor h(g).
(g - 4)**2*(g + 1)/4
Suppose 2*s + 1 = 3*f + 7, -5*f + 2*s = 6. Let t(g) be the second derivative of 1/6*g**4 + 0 - g**3 + f*g**2 + 5*g. Suppose t(m) = 0. What is m?
0, 3
Let r = -267347 + 16842428/63. Let x = -45/7 - r. Factor 2/9*v**3 - x - 8/9*v**2 + 10/9*v.
2*(v - 2)*(v - 1)**2/9
Let p(o) be the third derivative of 0*o - 29*o**2 + 1/6*o**3 + 0 + 7/72*o**4 + 1/36*o**5 + 1/360*o**6. Let p(i) = 0. Calculate i.
-3, -1
Solve 36*d + 9*d**2 - 80 + 0*d**2 - 13*d**2 = 0.
4, 5
Let k(w) be the third derivative of 3/8*w**3 + 33*w**2 + 0*w + 0 - 1/40*w**6 + 5/16*w**4 - 9/80*w**5. Let k(d) = 0. What is d?
-3, -1/4, 1
Let w(q) be the first derivative of q**4/26 + 106*q**3/39 - 112. Factor w(l).
2*l**2*(l + 53)/13
Let t(d) be the first derivative of 2*d**3/39 - 4*d**2/13 - 90*d/13 - 258. Factor t(x).
2*(x - 9)*(x + 5)/13
Suppose 4*x + 506 + 250 = 0. Let z be 9/(-3) + (x/(-6))/3. Solve 6*y**3 + 3/2*y**5 + 3*y**2 - 6*y**4 - z*y + 3 = 0.
-1, 1, 2
Let k = -3950 - -6278. Let t = 11678/5 - k. Solve -32/5*w - 2/5*w**5 - t*w**3 - 10*w**2 - 8/5 - 14/5*w**4 = 0.
-2, -1
Let u(q) be the first derivative of q**3/27 + q**2/9 + q/9 - 60. Find x such that u(x) = 0.
-1
Let p = -1820 + 7427/4. Determine l so that 3 - p*l**3 - 24*l + 231/4*l**2 = 0.
2/7, 1
Let u = 12 + -18. Let d(b) = b**3 + 6*b**2 - b - 1. Let m be d(u). Solve 4*w**3 - w**4 + 3*w + 4*w**4 + 3*w**3 - 2*w + m*w**2 = 0.
-1, -1/3, 0
Factor -16*b - 53*b**3 - 4*b**5 + 4*b**4 + 8*b**4 - 34*b**2 - 14*b**2 + 13*b**5 + 21*b**3.
b*(b - 2)*(b + 2)*(3*b + 2)**2
Let x be (((-14)/45)/(-7))/(112/6335). Let a = x + -1/72. Suppose a*l**5 + 35/2*l**2 + 20*l**3 + 15/2*l + 45/4*l**4 + 5/4 = 0. Calculate l.
-1, -1/2
Find t, given that -13/2*t**4 + 0 + 0*t**2 + 0*t**3 + 0*t + 1/2*t**5 = 0.
0, 13
Find x, given that -13*x**3 + 1746*x**4 - 1737*x**4 - 8*x**3 + 6*x**5 - 36*x**2 - 12*x = 0.
-2, -1, -1/2, 0, 2
Let k(a) = -a**2 - 14*a + 37. Let x be k(-16). Suppose -x*p = 8 + 12, 0 = 2*f - 4*p - 16. Determine d so that 0*d + f + 4/9*d**3 - 2/9*d**4 - 2/9*d**2 = 0.
0, 1
Let 32/3*b**2 - 6*b - 28/3*b**3 - 2/3*b**5 + 4*b**4 + 4/3 = 0. Calculate b.
1, 2
Let f(p) = -p**2 + 17*p - 50. Let c be f(4). Suppose -c*n - 7 = -11. Factor -2/3*o - 4/3*o**3 - 1/3*o**4 + 0 - 5/3*o**n.
-o*(o + 1)**2*(o + 2)/3
Let l(h) = 28*h**4 + 82*h**3 + 8*h**2 + 2*h + 12. Let a(f) = -12 - 11*f**4 + f**2 - 33*f**3 + 8 - 4*f**2 - f - 1. Let c(p) = -12*a(p) - 5*l(p). Factor c(b).
-2*b*(b + 1)**2*(4*b - 1)
Let p(z) be the first derivative of z**4 + 44*z**3/3 - 2*z**2 - 44*z - 184. Factor p(i).
4*(i - 1)*(i + 1)*(i + 11)
Let d(y) be the first derivative of 1/270*y**5 + 1/9*y**3 + 10 + 1/27*y**4 + 1/2*y**2 + 0*y. Let x(w) be the second derivative of d(w). What is t in x(t) = 0?
-3, -1
Factor -30/11*o**2 - 6/11*o**3 - 34/11*o + 2/11*o**4 - 12/11.
2*(o - 6)*(o + 1)**3/11
Let p(c) = 3*c**3 + c**2 - 1. Let l be p(1). Let h be (-14)/(-3) + -7 + l. Factor -2/3*m**2 + h*m**3 + 1/6*m + 0.
m*(2*m - 1)**2/6
Let l(c) = 2*c - 19. Let j be l(6). Let k be (-16)/j - (-6)/(-21). Factor -n**2 + 4*n**k - n**3 - 4 + 0.
-(n - 2)**2*(n + 1)
Let h(s) be the first derivative of 2*s**4/5 + 46*s**3/15 + 3*s**2 + 400. Factor h(r).
2*r*(r + 5)*(4*r + 3)/5
Let j(p) = -p**3 + 17*p**2 + 245*p - 284. Let z be j(26). Suppose -3/5*d**z + 1/5*d**4 - 1/5*d**3 + 1/5*d + 2/5 = 0. What is d?
-1, 1, 2
Let c = 1/3 + 0. Suppose -55*o = 55*o - 105*o. Determine y, given that -c + o*y + 1/3*y**2 = 0.
-1, 1
Let g(j) be the second derivative of -j**6/480 - j**5/80 + j**4/24 - 15*j**2/2 + 7*j. Let v(u) be the first derivative of g(u). Factor v(o).
-o*(o - 1)*(o + 4)/4
Let l = 29700 + -118751/4. Find u, given that 4 - 28*u + 48*u**2 - l*u**4 + 7*u**3 = 0.
-2, 2/7, 2
Let d(o) be the first derivative of 3*o**5/5 + 147*o**4/4 + 48*o**3 + 144. Factor d(s).
3*s**2*(s + 1)*(s + 48)
Let f(l) be the second derivative of 1/30*l**5 - 2*l**2 + 1/9*l**4 + 0 - 18*l - 5/9*l**3. Factor f(w).
2*(w - 2)*(w + 1)*(w + 3)/3
Suppose -3*f - 29 = -2*p, 4*f + f = -2*p + 53. Suppose 5*i - p = 1. Suppose -15/2*a**3 - 9/2*a**i + 3 + 15/2*a + 3/2*a**2 = 0. What is a?
-1, -2/3, 1
Let z(k) = 3*k**5 - 13*k**4 - 43*k**3 - 35*k**2 - 8*k - 8. Let s(l) = l**5 - 4*l**4 - 14*l**3 - 12*l**2 - 3*l - 3. Let u(t) = 8*s(t) - 3*z(t). Factor u(r).
-r**2*(r - 9)*(r + 1)**2
Let l(x) be the second derivative of x**10/120960 - x**8/13440 + x**6/2880 + 11*x**4/6 + 9*x. Let w(z) be the third derivative of l(z). Factor w(j).
j*(j - 1)**2*(j + 1)**2/4
Suppose -2*k - 3*q = -61, -4*q = k + k - 66. Determine c so that -10*c**2 - 7 + k - 40*c + 2*c**2 - 20*c**2 + 10*c**3 + 6*c**4 = 0.
-2, 1/3, 2
Suppose 624 = -0*q - 5*q + 2*n, 2*q + 246 = 2*n. Let w be (-110)/q + 15/(-35). What is p in 0 + 0*p + 2/9*p**2 + 2/9*p**4 + w*p**3 = 0?
-1, 0
Let t(s) be the second derivative of -s**6/30 + 9*s**5/10 + 19*s**4/12 + 341*s. Factor t(r).
-r**2*(r - 19)*(r + 1)
Suppose -4*m + 116 = -4*t, -m + 6*m - 3*t - 147 = 0. Let h = 0 - -2. Let 2*b - h*b**3 - m - 3*b**4 + b**2 + 3*b**2 + 29 = 0. Calculate b.
-1, 1/3, 1
Let h = 49 - 45. Determine n, given that -2*n**2 - 2*n**2 - 16*n**3 + 8*n - 129*n**h + 141*n**4 = 0.
-2/3, 0, 1
Let y(h) be the second derivative of -1/5*h**2 - 1/30*h**3 + 1/30*h**4 + 1/100*h**5 + 0 - 42*h. Factor y(d).
(d - 1)*(d + 1)*(d + 2)/5
Let f = -21573/16 + 1350. Let p = f + -179/144. Factor -2*r - 10/9*r**3 - p - 8/3*r**2.
-2*(r + 1)**2*(5*r + 2)/9
Let o(m) be the second derivative of 3*m**6/50 + 13*m**5/20 + 7*m**4/3 + 10*m**3/3 + 8*m**2/5 - 111*m. Determine i, given that o(i) = 0.
-4, -2, -1, -2/9
Let i(z) be the first derivative of -11*z**4 - 76*z**3/3 - 16*z**2 + 68. Factor i(v).
-4*v*(v + 1)*(11*v + 8)
Solve 9/2*l**4 + 162*l + 54 + 48*l**3 + 303/2*l**2 = 0 for l.
-6, -3, -1, -2/3
Factor 80*s + 15*s**2 + 4*s**2 - 85 - 8*s**2 - 6*s**2.
5*(s - 1)*(s + 17)
Suppose 5*a - 21 = 19*k - 23*k, 2*a + 2 = k. Let 0*j + 0 - 1/2*j**2 - j**3 - 1/2*j**k = 0. What is j?
-1, 0
Let j = -15608/7 + 2230. Let f = 23/7 + -3. Find y such that f*y**5 + 0*y**4 - j*y**3 + 0*y + 0*y**2 + 0 = 0.
-1, 0, 1
Let f(h) be the second derivative of 0*h**2 + 5/12*h**4 + 0 + 25/6*h**3 - 12*h. Factor f(b).
5*b*(b + 5)
Let x be 4*(-1)/12*-9. Factor -4*v**2 - 250 + v**3 + x*v - v**2 + 259.
(v - 3)**2*(v + 1)
Suppose 0 = -0*q - 2*q + 4. Let p be 0 + q + 1 + 2. Factor 9*z**3 - 8*z**2 + z**5 - 2*z**5 - 5*z**4 + 2*z + z**2 + 2*z**p.
z*(z - 2)*(z - 1)**3
Factor -1/3*