 0*i + 5/6*i**3 + 1/108*i**4 - 5*i**2 + 1/1620*i**6 + 0 + 1/270*i**5. Let w(y) be the first derivative of k(y). Factor w(a).
2*(a + 1)**2/9
Let b be (2 + 11/((-22)/4))/3. Let x be (-2)/1 - (-1 - 1). Factor -3/4*m**4 + 3/4*m**2 + 0 + b*m + x*m**3.
-3*m**2*(m - 1)*(m + 1)/4
Factor 12/5*o**4 + 0*o**2 - 3*o**3 + 0*o + 0 + 3/5*o**5.
3*o**3*(o - 1)*(o + 5)/5
Let q(r) = 3 + r - 1 + r. Let f be q(0). Factor -6 + 2*l**f - 2*l**4 - l + 6 + l**5.
l*(l - 1)**3*(l + 1)
Let v(h) = -11*h**2 + 594*h + 29410. Let n(g) = 3*g**2 - 198*g - 9803. Let f(m) = -7*n(m) - 2*v(m). Find r, given that f(r) = 0.
-99
Let n be 4/(-8)*(-5)/(-45)*0. Let a(j) be the third derivative of 1/7*j**3 + 23/168*j**4 + n*j + 0 - 9*j**2 + 1/60*j**5. Factor a(w).
(w + 3)*(7*w + 2)/7
Let c(x) be the second derivative of -25*x**4/12 - 5*x**3/2 + 5*x**2 - 384*x. Factor c(a).
-5*(a + 1)*(5*a - 2)
Suppose -15 = 3*v - 0*i - 3*i, -5*v - 4*i = -11. Let y = v + 4. Solve 0*b**2 - 2*b - 3*b**2 + 6*b**2 - b**y + 0*b**3 = 0.
0, 1, 2
Let n(y) be the second derivative of -y**7/1260 + y**6/180 - y**4/2 - 2*y**2 + 4*y - 3. Let p(s) be the third derivative of n(s). Suppose p(j) = 0. Calculate j.
0, 2
Let g(b) be the third derivative of -b**8/420 + 2*b**7/75 - 2*b**6/75 - 44*b**5/75 + 16*b**4/15 + 128*b**3/15 + 9*b**2 + 9*b. Find r, given that g(r) = 0.
-2, -1, 2, 4
Let p(f) be the second derivative of f**4/2 + 6*f**3 + 43*f**2/2 + 33*f. Let i(u) = 9*u**2 + 54*u + 64. Let c(y) = 5*i(y) - 8*p(y). Let c(q) = 0. What is q?
-4, -2
What is h in 16/9 + 10/9*h**2 - 28/9*h = 0?
4/5, 2
Factor 0*o + 0 + 2/3*o**2 - 2/9*o**3.
-2*o**2*(o - 3)/9
Factor -4956*v - 4194*v**4 - 4196*v**4 + 1268*v**2 + 3528 + 8394*v**4 + 156*v**3.
4*(v - 2)*(v - 1)*(v + 21)**2
Factor 4608/7 - 88/7*n**3 + 776/7*n**2 + 4224/7*n + 2/7*n**4.
2*(n - 24)**2*(n + 2)**2/7
Let m be 4/30 + (-4)/(-360)*33. What is r in 0 + 1/2*r**3 - 1/4*r**4 - m*r + 1/4*r**2 = 0?
-1, 0, 1, 2
Let r = -3259 + 3261. Suppose 3/7*p**3 + 3/7*p + 6/7*p**r + 0 = 0. What is p?
-1, 0
Let u be 1/(-30*5/(-60)). Solve u*p - 2/5*p**2 + 0 = 0 for p.
0, 1
Let r(i) = 5*i - 5*i + 16 - i**2 + 2 - 7*i. Let u be r(-9). Factor 0 + 4/5*g**2 + u*g + 12/5*g**4 + 12/5*g**3 + 4/5*g**5.
4*g**2*(g + 1)**3/5
Let l(t) = -t**4 - t**3 - 16*t**2 - 4*t + 48. Let r(w) = -w**4 - w**3. Let o(i) = 5*l(i) - 10*r(i). Let o(m) = 0. What is m?
-4, -2, 2, 3
Let q be (3/2)/(6/16). Let i = -97/7 - -15. Suppose 0 - i*p**3 - 4/7*p**q + 8/7*p + 4/7*p**2 = 0. What is p?
-2, -1, 0, 1
Let q(s) be the third derivative of -s**5/20 - s**4 - 15*s**3/2 - s**2 + 18*s. Determine c so that q(c) = 0.
-5, -3
Suppose -8/3*k**3 + 28/15*k**2 + 38/5 + 2/15*k**4 + 184/15*k = 0. Calculate k.
-1, 3, 19
Let w(q) be the first derivative of -q**5/5 + 3*q**4/2 - 3*q**3 + 2*q**2 + 358. Factor w(a).
-a*(a - 4)*(a - 1)**2
Let a(y) = 155*y**2 + 4570*y - 70. Let r(s) = -9*s**2 - 269*s + 4. Let l(g) = 2*a(g) + 35*r(g). Factor l(k).
-5*k*(k + 55)
Let d(l) be the third derivative of 0*l**5 + l**2 + 0*l**3 + 0*l + 1/96*l**4 - 1/480*l**6 + 0. Suppose d(f) = 0. Calculate f.
-1, 0, 1
Factor -4*t + 2/3*t**4 + 0 + 4*t**3 - 2/3*t**2.
2*t*(t - 1)*(t + 1)*(t + 6)/3
Let a be 2*((-18)/4)/(-3). Let u = 402 - 398. Find r, given that 6*r**a + 3*r**4 + 0*r**4 + 0*r**4 - r**u + 2*r + 6*r**2 = 0.
-1, 0
Suppose 0*t - 8/5 + 6/5*t**2 + 2/5*t**3 = 0. What is t?
-2, 1
Suppose 0 = -2*j + 6*j + 8. Let k be (-6)/(-33) + 51/22 + j. Let -1/2*x**2 + 1/2*x**3 + 0*x + 1/2*x**4 - k*x**5 + 0 = 0. What is x?
-1, 0, 1
Let m = 2633 - 5263/2. Let o(s) be the second derivative of -3/4*s**4 - 3/2*s**2 + 8*s + 0 + 3/20*s**5 + m*s**3. Let o(y) = 0. What is y?
1
What is d in -1/5*d**2 + 26/5*d - 5 = 0?
1, 25
Let m(c) = -10*c**4 + 13*c**3 + 33*c**2 - 50*c - 115. Let h(y) = -3*y**4 + 4*y**3 + 11*y**2 - 16*y - 38. Let w(x) = 7*h(x) - 2*m(x). Factor w(z).
-(z - 3)**2*(z + 2)**2
Let -14*c + 96/7 + 2/7*c**2 = 0. What is c?
1, 48
Let o = 1695 + -15247/9. Suppose o - 2/9*t**3 + 4/9*t**2 + 14/9*t = 0. Calculate t.
-1, 4
Let b(w) be the first derivative of 3*w**5/5 - 89*w**4/4 + 643*w**3/3 + 285*w**2/2 - 450*w + 41. Factor b(h).
(h - 15)**2*(h + 1)*(3*h - 2)
Let d(h) = h - 5. Let u be d(10). Factor 8*z - 13*z - 10*z**4 - 15*z**3 - 9*z - 6*z + u*z**5 + 40*z**2.
5*z*(z - 2)*(z - 1)**2*(z + 2)
Let k be (-2)/((-3)/(-2)*(-68)/51). Let n be (-26)/130*(-1)/k. Let -2/5*h**2 - 1/5*h**3 - n*h + 0 = 0. Calculate h.
-1, 0
Let t(h) be the second derivative of -h**5/30 - h**4/9 + h**3/9 + 2*h**2/3 - 2*h + 13. Factor t(n).
-2*(n - 1)*(n + 1)*(n + 2)/3
Let b(a) = -6*a - 3. Let t be b(3). Let u = 27 + t. Solve 6*v**2 + 9*v**2 - 2*v**3 - 9*v**2 - 2*v + 4*v**5 - u*v**4 = 0 for v.
-1, 0, 1/2, 1
Let f(q) be the second derivative of -q**4/30 - 22*q**3/15 - 21*q**2/5 + 2*q + 32. Factor f(v).
-2*(v + 1)*(v + 21)/5
Suppose 0 = 4*c + 20, 0*z = z + 4*c + 14. Suppose 5*b = 2*b + z. Factor 0 + 1/4*s**b - 1/4*s.
s*(s - 1)/4
Find z such that -375*z**4 - 210*z + 647*z**3 + 479*z**3 + 35*z**5 - 151*z**3 - 425*z**2 = 0.
-2/7, 0, 1, 3, 7
Suppose -2*d - 2*l + 12 = -0*l, -2*d + 5*l = 9. Suppose -d*q - q + 17 = -3*c, -q - c = 1. Factor 2 + 40*r**3 - 41*r**3 - 2 - 2*r**q.
-r**2*(r + 2)
Suppose 32*y = 122 + 6. Let q(c) be the third derivative of 1/210*c**5 - y*c**2 + 0*c**4 + 0 + 0*c**3 + 0*c. Suppose q(s) = 0. What is s?
0
Determine k, given that -98/5*k**5 + 6*k + 68/5*k**3 + 2/5 - 126/5*k**4 + 124/5*k**2 = 0.
-1, -1/7, 1
Let z(y) be the third derivative of 0*y**3 + 0*y - 1/280*y**7 + 0*y**4 + 0 + 1/160*y**6 + 1/40*y**5 - 16*y**2. Suppose z(u) = 0. Calculate u.
-1, 0, 2
Suppose -3*q + 172 + 32 = 0. What is k in 10*k**3 - 68*k + q*k - 15*k**4 + 5*k**5 = 0?
0, 1, 2
Let f(j) be the first derivative of -5*j**3/3 - 375*j**2 - 28125*j + 66. Find l, given that f(l) = 0.
-75
Suppose -3*j + 55 = 4*w + 11, -13 = -j - w. Suppose -g - j + 10 = 0. Factor -4/5*y - g*y**2 + 0.
-2*y*(5*y + 2)/5
Let k(m) = 9*m**2 + 97*m + 79. Let t be k(-10). Factor 15/7*v**4 + t*v**2 - 33/7*v - 51/7*v**3 + 6/7.
3*(v - 1)**3*(5*v - 2)/7
Let o(y) be the third derivative of -y**9/1890 + y**8/1260 - y**7/2520 - y**5/15 - 17*y**2. Let w(x) be the third derivative of o(x). Factor w(j).
-2*j*(4*j - 1)**2
Let j be (85/85)/((-2)/(-1)). Find n, given that 1/2*n + 1 - j*n**2 = 0.
-1, 2
Let i be (-10)/(-6) - (28/(-12))/7. Let t(d) be the first derivative of -5 - 2*d**i + 1/3*d**3 + 4*d. Factor t(m).
(m - 2)**2
Let d(j) = 139*j**3 - 540*j**2 + 720*j - 312. Let n(f) = f**3 + 2. Let c(v) = d(v) - 4*n(v). Determine p, given that c(p) = 0.
4/3
Let b = 13 - 13. Suppose 0*m - 4*m + 12 = b. Factor -26*s + 8*s**m + 4*s**3 + 10*s - 16*s**2 + 8*s**4 - 4*s**5.
-4*s*(s - 2)**2*(s + 1)**2
Determine s so that 15/4 - 9/2*s**3 - 3/4*s**4 + 9/2*s - 3*s**2 = 0.
-5, -1, 1
Let a(n) be the first derivative of -n**6/24 + n**5/24 - 13*n**3/3 + 10. Let j(m) be the third derivative of a(m). Factor j(o).
-5*o*(3*o - 1)
Let i(x) be the first derivative of 0*x**4 + 0*x**2 - 2 - 2/15*x**5 - 2/3*x + 4/9*x**3. Find l such that i(l) = 0.
-1, 1
Let s(h) = 2*h**3 + 48*h**2 + 132*h + 79. Let v(a) = -16*a**2 - 44*a - 26. Let o(n) = -2*s(n) - 7*v(n). Factor o(f).
-4*(f - 6)*(f + 1)**2
Let b be 918/(-204) - 26/(-4). Factor -3/2 - 1/2*n**2 - b*n.
-(n + 1)*(n + 3)/2
Let z = -3300 - -9902/3. Solve 4/3 - 2*p**3 - 2/3*p**4 + 2*p - z*p**2 = 0 for p.
-2, -1, 1
Suppose 0 - 20/3*q + 22/3*q**2 - 2/3*q**3 = 0. What is q?
0, 1, 10
Suppose -5*m**5 - 121*m**4 - 1364*m + 2*m**5 + 0*m**5 + 67*m**4 - 330*m**3 + 545*m - 804*m**2 - 294 = 0. Calculate m.
-7, -2, -1
Let b be (4998/(-150))/7 + 5. Let w(c) be the first derivative of 0*c**2 - b*c**5 + 0*c - 3/5*c**6 + 8/15*c**3 - 3 + 4/5*c**4. Factor w(x).
-2*x**2*(x - 1)*(3*x + 2)**2/5
Let r(u) = -9*u**3 - 3*u**2 - 6*u + 6. Let p(g) be the third derivative of -g**6/120 + g**5/60 + g**3/6 - 7*g**2. Let q(t) = -6*p(t) + r(t). Factor q(c).
-3*c*(c + 1)*(c + 2)
Let j = -19238/5 - -3848. Solve 0 - j*s**2 + 0*s = 0 for s.
0
Let a(v) be the second derivative of 1/6*v**3 + 0*v**2 - 1/80*v**5 + 0*v**4 + 41*v + 0. Solve a(s) = 0.
-2, 0, 2
Let p(r) be the second derivative of r**4/9 + 7*r**3/2 - 8*r**2/3 + 765*r. Factor p(t).
(t + 16)*(4*t - 1)/3
Let p(a) be the first derivative of a**4/78 + 5*a**3/39 - 9*a - 2. Let z(v) be the first derivative of p(v). Factor z(q).
2*q*(q + 5)/13
Let a be (4 + 2