t h be (3344/2090)/(4/10*1). Factor -4/9*v + 0 - 32/9*v**3 + 22/9*v**2 + 14/9*v**h.
2*v*(v - 1)**2*(7*v - 2)/9
Let y = -1471 + 1475. Solve 0 - 2*f**y + 5/2*f**3 + 1/2*f**5 - f**2 + 0*f = 0.
0, 1, 2
Let d(w) = -3*w**2 - 105*w - 183. Let y(m) = -m**3 - 7*m**2 + 7*m + 1. Let i be y(-8). Let z(j) = -j**2 - 26*j - 46. Let f(t) = i*z(t) - 2*d(t). Factor f(q).
-3*(q + 4)**2
Suppose -q + 0*a = -3*a - 6, -5*q + 2*a - 35 = 0. Let t be (-47)/q + -2 + (-21)/7. Solve 0*y - t + 2/9*y**2 = 0 for y.
-1, 1
Let k(o) = 5*o + 3. Let v be k(0). Let w(u) be the first derivative of 5 + 0*u + u**2 + 2/3*u**v. Suppose w(j) = 0. What is j?
-1, 0
Let t = 2 - -2. Let p(y) be the third derivative of 1/270*y**5 + 1/108*y**t - 4*y**2 + 0*y + 0 + 0*y**3. Factor p(d).
2*d*(d + 1)/9
Let i(u) = 20*u**2 - 12*u - 16. Let v(r) = 2*r**2 - r - 1. Let o(q) = i(q) - 8*v(q). Solve o(l) = 0.
-1, 2
Factor -88/5*t - 4/5*t**2 - 484/5.
-4*(t + 11)**2/5
Let y be (-102)/(-42) + 8/14. Let d be 9/y - 1 - -1. Factor -2 + p**4 - d*p**3 - 4*p + 0 + p**2 + 7*p.
(p - 2)*(p - 1)**2*(p + 1)
Let 0 - 2/15*q**2 + 68/15*q = 0. What is q?
0, 34
Let d(l) be the second derivative of 0 + 5/12*l**3 - 1/40*l**5 - 1/8*l**4 - 1/2*l**2 - 15*l + 1/60*l**6. Factor d(n).
(n - 1)**3*(n + 2)/2
Let o(w) be the first derivative of -1/180*w**6 + 0*w + 3*w**3 + 7 + 0*w**2 + 1/15*w**5 - 1/3*w**4. Let y(k) be the third derivative of o(k). Factor y(j).
-2*(j - 2)**2
Let a(y) be the first derivative of -y**4/9 - 20*y**3/27 + 70. Factor a(i).
-4*i**2*(i + 5)/9
Let a(f) be the third derivative of -1/12*f**4 - 1/60*f**5 + 1/2*f**3 + 0 + 0*f + 4*f**2. Factor a(y).
-(y - 1)*(y + 3)
Suppose 0 = -2*c - 5*r - 108, 2*c + 96 = -3*r - 8. Let i = 295/6 + c. Let 0 + 1/2*z**3 + 1/2*z**4 + 0*z + 1/6*z**5 + i*z**2 = 0. What is z?
-1, 0
Let l(g) be the second derivative of -2*g**7/21 + 2*g**6/5 + 9*g**5 - 9*g**4 - 432*g**3 - 1944*g**2 + 3*g - 1. Factor l(o).
-4*(o - 6)**2*(o + 3)**3
Let s(n) be the third derivative of -13*n**7/135 + 29*n**6/270 + 31*n**5/270 + n**4/54 + 61*n**2. Find q, given that s(q) = 0.
-2/7, -1/13, 0, 1
Let z be ((-399)/(-35))/(3 + (-278)/90). Let i = z - -144. Suppose -15*p + 3/2*p**3 + 21/4*p**4 - 3 - i*p**2 = 0. Calculate p.
-1, -2/7, 2
Factor 3/8*k**5 - 21/8*k**2 - 15/8*k**4 + 0 + 3/4*k + 27/8*k**3.
3*k*(k - 2)*(k - 1)**3/8
Let l(w) = 16*w**3 + 10*w**2 + 23*w + 8. Let s(m) = 14*m**3 + 10*m**2 + 22*m + 8. Let u(o) = 6*l(o) - 7*s(o). Let u(z) = 0. Calculate z.
-2, -1
Let t = -31/14 + 149/42. Let a(g) be the first derivative of -12*g + 3 - 8*g**2 - t*g**3. Factor a(v).
-4*(v + 1)*(v + 3)
Factor 1/4*z**2 + 1/8*z**4 + 0 + 3/8*z**3 + 0*z.
z**2*(z + 1)*(z + 2)/8
Suppose -89 = 16*x - 121. Determine o, given that 18/5*o**3 - 4/5*o**x + 0*o + 0 - 8/5*o**4 = 0.
0, 1/4, 2
Suppose 3*p + 83 = 86. Let r(k) = k + 1. Let w(d) = 15*d**2 - 32*d + 16. Let z(h) = p*w(h) - 4*r(h). Find o, given that z(o) = 0.
2/5, 2
Let l(v) be the first derivative of -9*v + 33/2*v**2 - 6 + 4*v**3. Factor l(a).
3*(a + 3)*(4*a - 1)
Let c(h) = -2*h**5 + h**4 + h**3 + h**2 - h + 1. Let o(k) = -11*k**5 + 4*k**4 + 11*k**3 + 9*k**2 - 13*k + 5. Let p(m) = 5*c(m) - o(m). Solve p(f) = 0.
-2, 0, 1, 2
Let p(q) be the second derivative of 0*q**2 + 1/120*q**4 - 1/15*q**3 + 0 + q. Factor p(j).
j*(j - 4)/10
Let s(m) be the third derivative of m**7/105 - 11*m**6/120 - m**5/10 + 8*m**4/3 + 16*m**3/3 + 293*m**2. Determine g, given that s(g) = 0.
-2, -1/2, 4
Suppose -a = -2*g - 13, -2*g + 4 = -3*a + 31. Let u(h) be the second derivative of -1/12*h**4 + a*h + 0*h**3 + 0 + 1/2*h**2. Factor u(m).
-(m - 1)*(m + 1)
Let b(q) be the second derivative of q**7/21 + q**6/5 - q**5/2 - q**4/2 + 4*q**3/3 - 104*q. Suppose b(v) = 0. What is v?
-4, -1, 0, 1
Let u(y) = -2*y - 1. Let n be u(-2). Let r be (-3)/n*16/(-4). Factor -w**r - 8*w**4 + 2*w**3 + 0*w**5 - 3*w**2 + 13*w**3 - 27*w**5.
-3*w**2*(w + 1)*(3*w - 1)**2
Let l = 75 + -43. Factor -5 - 4*v**4 - l*v - 4*v**2 + 4 - 4*v**5 + 17 + 20*v**3 + 8*v**2.
-4*(v - 1)**3*(v + 2)**2
Suppose -8 = -4*h + 2*h - z, 4*h - 4*z = 4. Let c(k) = -k**2 + 2*k + 1. Let a(i) = -i**2 - 6*i + 1. Let f(v) = h*c(v) + a(v). Let f(s) = 0. Calculate s.
-1, 1
Determine o so that -6/5 - 4/5*o**3 - 52/15*o + 2/15*o**4 - 16/5*o**2 = 0.
-1, 9
Let l(r) be the first derivative of -2*r**3/51 + 122*r**2/17 - 242*r/17 - 227. Suppose l(p) = 0. What is p?
1, 121
Factor 48/5 + 3/5*x**3 - 3/5*x**2 - 48/5*x.
3*(x - 4)*(x - 1)*(x + 4)/5
Let y = 4861/54 - 90. Let a(s) be the second derivative of -y*s**4 + 2/9*s**2 + 1/27*s**3 + 4*s + 0. Let a(q) = 0. What is q?
-1, 2
Suppose -1369*t - 18*t**3 - 5*t**4 + 1379*t + 20*t**2 + 8*t**5 - 33*t**4 + 18*t**2 = 0. Calculate t.
-1, -1/4, 0, 1, 5
Determine y so that -2/13*y**5 + 2/13*y + 4/13*y**4 - 4/13*y**2 + 0*y**3 + 0 = 0.
-1, 0, 1
Suppose 6*z - 144 = 5*z + 4*f, 0 = 3*f - 9. Find c such that -6*c**2 - 13*c**5 - 208*c**3 - 26*c**2 + 209*c**5 - z*c**4 - 124*c**4 = 0.
-2/7, 0, 2
Find f, given that 99*f**2 - 25*f**3 + 35*f**2 - f - 46*f - 63*f - 120 + f**2 = 0.
-3/5, 2, 4
Let s(x) be the first derivative of 0*x**3 + 1/39*x**6 + 0*x**2 - 1/26*x**4 + 2 + 0*x**5 + 0*x. Find g such that s(g) = 0.
-1, 0, 1
Let c(i) be the third derivative of -1/15*i**4 + 19*i**2 + 1/75*i**5 - 2/5*i**3 + 0*i + 0. Factor c(b).
4*(b - 3)*(b + 1)/5
Let f(n) be the second derivative of -n**6/72 - 5*n**5/12 - 125*n**4/24 - 2*n**3/3 + 18*n. Let q(h) be the second derivative of f(h). Factor q(m).
-5*(m + 5)**2
Let o(a) be the second derivative of -a**4/54 + a**3/27 + 45*a. Find p, given that o(p) = 0.
0, 1
Factor 101*q**5 - 30*q**5 - 74*q**5.
-3*q**5
Let a(n) = -6*n**2 + 34*n - 60. Let k be (-19)/76 + (-22)/8. Let x(d) = d**2 - 7*d + 12. Let w(m) = k*a(m) - 16*x(m). Factor w(j).
2*(j - 1)*(j + 6)
Let f(m) be the second derivative of -m**8/40320 - m**7/3780 + m**6/864 - 17*m**4/12 + 38*m. Let k(u) be the third derivative of f(u). Factor k(d).
-d*(d - 1)*(d + 5)/6
Suppose 18*i - 936 - 360 = 0. Let p be (-5)/(-15) - i/(-27). Let 0 - 2/7*s - 4/7*s**2 - 2/7*s**p = 0. Calculate s.
-1, 0
Let t(k) be the third derivative of -k**8/84 + 43*k**7/126 - 37*k**6/72 - 7*k**5/36 + 17*k**4/72 + 13*k**2 - 2*k. Suppose t(g) = 0. Calculate g.
-1/3, 0, 1/4, 1, 17
Let l = -28 + 30. Determine q, given that 8 + 13*q - 7*q**2 + 11*q**l - q = 0.
-2, -1
Let p = -2 - -2. Let m(h) = 2*h**3 - 29*h**2 + 17*h - 37. Let v be m(14). Let 2/17*q**v + 0*q**3 - 4/17*q**2 + p - 2/17*q + 4/17*q**4 = 0. Calculate q.
-1, 0, 1
Factor -2070*z + 2*z**3 + 16*z**2 + 2090*z - 6*z**3.
-4*z*(z - 5)*(z + 1)
Let h(v) be the first derivative of -v**5/25 - v**4/20 + v**3/15 + v**2/10 - 527. Factor h(m).
-m*(m - 1)*(m + 1)**2/5
Let 61/4*c**2 + 1/4*c**4 + 9/2*c**3 + 7 + 18*c = 0. Calculate c.
-14, -2, -1
Let k(d) be the first derivative of d**3/9 + d**2/2 + 2*d/3 + 518. Factor k(y).
(y + 1)*(y + 2)/3
Let p be 2/(1/2*(-48)/(-6)). Let g(l) be the first derivative of 1/3*l**3 + p*l**2 + 1/3*l + 1/12*l**4 - 3. Factor g(x).
(x + 1)**3/3
Let y be 3/2 + (-44)/33. Let k(l) be the first derivative of -l + 5 - 3/4*l**2 - y*l**3. Factor k(g).
-(g + 1)*(g + 2)/2
Let z(h) be the first derivative of h**6/60 + 3*h**5/40 + h**4/12 - 6*h + 11. Let w(x) be the first derivative of z(x). Factor w(o).
o**2*(o + 1)*(o + 2)/2
Let x = 3997 + -19983/5. Factor 0 + x*l + 2/5*l**2.
2*l*(l + 1)/5
Let m = -3051 + 3056. Factor 0 + 0*z + 0*z**3 + 0*z**2 - 1/2*z**m + 1/2*z**4.
-z**4*(z - 1)/2
Factor -65*m**2 - 725 - 255 + 945*m - 17*m**3 - 28*m**3 + 150*m**2 - 5*m**4.
-5*(m - 4)*(m - 1)*(m + 7)**2
Let 3/2*j**2 + 1 - 1/4*j**3 - 9/4*j = 0. What is j?
1, 4
Let w(o) be the third derivative of 0 + 19*o**2 + 1/420*o**5 - 1/7*o**3 + 1/168*o**4 + 0*o. Factor w(s).
(s - 2)*(s + 3)/7
Factor 10/3 + 2/3*s - 8/3*s**2.
-2*(s + 1)*(4*s - 5)/3
Let h be (2/(-6))/(1/(-6)). Suppose m - 2 = 2*x, 0 = 4*m + x + 8 - 7. Let m + 1/2*y**h - y = 0. Calculate y.
0, 2
Let l be (6 + -9 - -1)/(1*-2). Let q be l*-1 - (-120)/72. Let q - f + 1/3*f**2 = 0. What is f?
1, 2
Let t(f) be the second derivative of f**5/30 - 11*f**4/2 + 363*f**3 - 11979*f**2 - 198*f. Factor t(q).
2*(q - 33)**3/3
Let w(c) be the first derivative of -c**4/28 - c**3/21 + 8*c**2/7 - 20*c/7 - 179. Determine v so that w(v) = 0.
-5, 2
Factor -14/3*p - 20/3 - 2/3*p**2.
-2*(p + 2)*(p + 5)/3
Let l(a) be the first derivative