 0 = 5*u - 0 + 5. Let w(y) = -20*y**3 + 12*y**2 - 16*y + 24. Let g(s) = u*w(s) - 24*c(s). Factor g(q).
-4*q*(q - 2)*(q - 1)
Suppose -5*y - 3*j + 5*j + 33 = 0, 18 = -2*y - 7*j. Factor 0*g + 0 + 0*g**2 + 0*g**4 + 1/5*g**3 - 1/5*g**y.
-g**3*(g - 1)*(g + 1)/5
Let a(v) be the second derivative of -1/4*v**3 + 0 - 5/24*v**4 + 1/2*v**2 - 20*v. Factor a(g).
-(g + 1)*(5*g - 2)/2
Let j(i) be the third derivative of -i**8/30240 - i**7/2520 - i**6/540 + 11*i**5/30 - 2*i**2. Let x(h) be the third derivative of j(h). What is m in x(m) = 0?
-2, -1
Suppose -5*p + 2*r + 28 = -2*p, 0 = -2*p - 3*r + 10. Let j be -1*12*(30/p + -4). Factor -4/7*v**2 - 8/7*v + 4/7*v**j + 0.
4*v*(v - 2)*(v + 1)/7
Let u = 1 - -8. Let 6*p**3 + u*p**4 - 70*p**2 + 70*p**2 + 3*p**5 = 0. Calculate p.
-2, -1, 0
Let u = -6/11 + 63/55. Let h be ((-3564)/45)/(-12) + (1 - 7). Determine g so that u*g**2 + 0 - h*g = 0.
0, 1
Let n(p) = p**5 - 5*p**4 + 5*p**3 - 7*p**2. Let g(a) = a**5 - 4*a**4 + 4*a**3 - 6*a**2. Let v(q) = 6*g(q) - 5*n(q). Factor v(t).
t**2*(t - 1)*(t + 1)**2
Let a(j) be the first derivative of 1/6*j**3 - 1/2*j**2 - 1/10*j**5 + 1/4*j**4 + 0*j + 10. Factor a(p).
-p*(p - 2)*(p - 1)*(p + 1)/2
Let l(m) = 7*m**3 + 112*m**2 + 698*m + 1000. Let u(q) = 15*q**3 + 225*q**2 + 1395*q + 2000. Let b(j) = 5*l(j) - 2*u(j). Suppose b(o) = 0. What is o?
-10, -2
Solve 0 + 10/3*h**3 + 2/3*h**4 + 0*h - 2/3*h**5 + 2*h**2 = 0 for h.
-1, 0, 3
Let b be 4 - (-13)/(182/(-4))*7. Find c such that 2/7*c**b + 2/7*c - 4/7 = 0.
-2, 1
Let s be ((-756)/24 + 29)*(99/(-75) + 1). Factor 2/5*a**3 - s*a**2 + 0 + 2/5*a**4 + 0*a.
2*a**2*(a - 1)*(a + 2)/5
Factor 2/7*m + 4/7 - 2/7*m**2.
-2*(m - 2)*(m + 1)/7
Factor 0 + 10/11*k + 1/11*k**4 - 13/11*k**2 + 2/11*k**3.
k*(k - 2)*(k - 1)*(k + 5)/11
Let q = -86 + 88. Let k be q/4*(3 - (-1 - 0)). Factor 1/4*j**3 - j + 2 - 1/2*j**k.
(j - 2)**2*(j + 2)/4
Let n be 1 - -1 - (-6)/9*3. Suppose -5 = -n*v + 3. Suppose -1/4*t**v - 1/2*t - 1/4 = 0. What is t?
-1
Let a(t) = -7*t**2 - 44*t. Let v(g) = 12*g**2 + 87*g. Let p(x) = 9*a(x) + 5*v(x). Factor p(m).
-3*m*(m - 13)
Let v(x) be the third derivative of -x**8/40320 - x**7/5040 - x**6/1440 + x**5/20 + 9*x**2. Let u(d) be the third derivative of v(d). Factor u(c).
-(c + 1)**2/2
Let s = 19 - 16. Determine c, given that 8*c**3 - 19*c - 29*c + 0*c**s + 64 - 4*c**3 = 0.
-4, 2
Suppose 3*v = d - 0*v + 9, -14 = 2*d - 5*v. Factor -2 + 15*g**3 + 2*g**2 - 2*g - 6*g**d - 7*g**3.
2*(g - 1)*(g + 1)**2
Let j be (-8)/(-36) - (-520)/90. Let o(a) be the second derivative of 0*a**3 + 0*a**5 + 0 + 4*a + 1/10*a**j - 1/2*a**4 + 3/2*a**2. Factor o(y).
3*(y - 1)**2*(y + 1)**2
Let v be (-6)/(3/((-12)/8)). Solve -8*s + s**4 - 68*s**2 + 40*s**2 + 9*s**4 + 20*s**v + 6*s**4 = 0.
-2, -1/4, 0, 1
Let 2/19*j**2 + 40/19 + 24/19*j = 0. Calculate j.
-10, -2
Suppose -4*d + 4 = -8. Suppose 7 - 35 = -14*x. Factor 0 - 2/7*t**x - 2/7*t**d + 0*t.
-2*t**2*(t + 1)/7
Let f(u) be the second derivative of -u**6/15 - 2*u**5/5 + 11*u**4/6 - 2*u**3 + 8*u. Suppose f(r) = 0. What is r?
-6, 0, 1
Let z(s) be the second derivative of -4/3*s**3 + 4*s - 1/3*s**4 + 0 - 2*s**2. Factor z(r).
-4*(r + 1)**2
Let s(a) be the third derivative of a**7/140 - a**6/30 + a**5/20 - a**3/12 - 48*a**2. Factor s(q).
(q - 1)**3*(3*q + 1)/2
Suppose 7*u - 539 - 529 = -1047. Factor 3/4*w**3 - 3/2*w**2 - 21/4*w - u.
3*(w - 4)*(w + 1)**2/4
Let c(d) be the first derivative of 37 + 0*d**4 - 4/21*d**3 + 2/35*d**5 + 2/7*d + 0*d**2. Solve c(w) = 0.
-1, 1
Let g(b) be the third derivative of b**6/600 - 8*b**5/75 - b**4/120 + 16*b**3/15 + 296*b**2 - 2. Factor g(i).
(i - 32)*(i - 1)*(i + 1)/5
Factor -394*g + 5*g**2 - 49 + 77*g + 98 + 77.
(g - 63)*(5*g - 2)
Let p be -1*(-1 - (0 + -7 - 1)). Let d(j) = j + 7. Let l be d(p). Factor 2/3*g**2 + l + 1/3*g + 1/3*g**3.
g*(g + 1)**2/3
Suppose -4*n - i + 9 = -3, -3*i + 2 = -5*n. Factor 6/5*m**n - 8/5*m + 2/5.
2*(m - 1)*(3*m - 1)/5
Let q(t) be the second derivative of 0*t**2 + 1/15*t**5 + 8*t + 1/189*t**7 + 4/135*t**6 + 0 + 1/27*t**3 + 2/27*t**4. Let q(w) = 0. Calculate w.
-1, 0
Let o(j) = 14*j**4 + 45*j**3 - 83*j**2 + 28*j + 2. Let h(m) = 30*m**4 + 90*m**3 - 165*m**2 + 55*m + 5. Let z(g) = 2*h(g) - 5*o(g). Factor z(x).
-5*x*(x - 1)*(x + 6)*(2*x - 1)
Let t be 9/(-3) - (-56)/16. Factor t*r + 1/2*r**4 + 3/2*r**3 + 0 + 3/2*r**2.
r*(r + 1)**3/2
Let w(a) be the first derivative of 2*a**3/9 - 20*a**2/3 + 50*a - 112. Solve w(p) = 0.
5, 15
Let f(s) be the third derivative of 0*s + 14*s**2 + 1/20*s**5 + 0*s**3 + 0 + 1/8*s**4. Let f(y) = 0. Calculate y.
-1, 0
Find r, given that 20/11 + 2*r + 2/11*r**2 = 0.
-10, -1
Suppose 4*m = 3*y + 4228 + 3874, 3*y = m - 2030. Factor -m*w**2 + 2024*w**2 - 18*w**3 + 15*w**4 + 5*w**5 - 2*w**5.
3*w**3*(w - 1)*(w + 6)
Let v be 8 - (-3 + 57/6). Factor 81/2 - 81/2*n + 27/2*n**2 - v*n**3.
-3*(n - 3)**3/2
Let f(m) be the first derivative of m**3/3 + m**2/2 - 6. Let g(o) = -7*o**2 - 4*o. Let r(w) = -4*f(w) - g(w). Factor r(c).
3*c**2
Let o(q) = q**2 + 0*q + 230 - 198 - 17*q + 0*q**2. Let h be o(15). Factor -1/2 - 1/2*v**h + v.
-(v - 1)**2/2
Let t = 1936 - 1930. Let g(h) be the first derivative of 1/2*h**4 + 8 + 0*h + 0*h**2 + 1/9*h**t - 2/9*h**3 - 2/5*h**5. Factor g(u).
2*u**2*(u - 1)**3/3
Let a(h) = -h**3 + 8*h**2 - h - 40. Let s be a(7). Let g(r) be the second derivative of -3*r - 1/3*r**4 + 0*r**3 + 0*r**s + 0. Suppose g(q) = 0. What is q?
0
Let i(c) be the second derivative of -c**9/20160 - c**8/26880 + c**7/3360 + c**6/2880 - 11*c**4/12 - 2*c. Let m(w) be the third derivative of i(w). Factor m(z).
-z*(z - 1)*(z + 1)*(3*z + 1)/4
Let m be 45/30*(-28)/(-15). Let c(d) be the third derivative of 0*d**4 + 0*d + 0 - 8*d**2 + 0*d**3 + m*d**6 - 28/5*d**7 + 49/12*d**8 - 8/15*d**5. Factor c(y).
4*y**2*(7*y - 2)**3
Let 82 - 4*w**2 + 8*w - 82 = 0. Calculate w.
0, 2
Solve -17*w**2 + 4 - 18*w + w**5 + w**4 + 22*w + 12*w**2 - 5*w**3 = 0 for w.
-2, -1, 1, 2
Let c(r) = -3*r**2 + 418*r - 15123. Let b(k) = -2*k. Let i(j) = -4*b(j) + c(j). Find q such that i(q) = 0.
71
Let a(r) be the first derivative of -r**8/3780 + r**6/810 - 5*r**3 - 13. Let k(t) be the third derivative of a(t). Suppose k(i) = 0. Calculate i.
-1, 0, 1
Let -92/3*u**2 + 10/9*u**3 + 784/9 + 616/3*u = 0. Calculate u.
-2/5, 14
Let q be -3 - (-1 + ((-2)/4)/((-462)/(-6072))). Suppose 2/7*o**3 + q*o**5 + 0*o**2 + 0 + 0*o + 16/7*o**4 = 0. Calculate o.
-1/4, 0
Let r = -48/115 - -2444/345. Factor -20/3*s**3 + 65/3*s**2 + 65/3*s - r.
-5*(s - 4)*(s + 1)*(4*s - 1)/3
Let d(n) be the second derivative of n**4/24 - 17*n**3/6 - 35*n**2/4 - 9*n. Factor d(q).
(q - 35)*(q + 1)/2
Let f be 36/45*5/24. Suppose 2/3*l**3 + 1/6*l**4 + l**2 + f + 2/3*l = 0. Calculate l.
-1
Let l be 11/(-11) + (-35)/(-27). Let j = l - -1/27. Factor j - 1/3*o - 2/3*o**2.
-(o + 1)*(2*o - 1)/3
Let s = -30 - -33. Let u(k) be the first derivative of 0*k - 2/5*k**2 - 1/20*k**4 - 5 - 4/15*k**s. Determine y so that u(y) = 0.
-2, 0
Let n(u) be the first derivative of 21*u**4/4 - 12*u**3 - 6*u**2 - 161. Solve n(z) = 0 for z.
-2/7, 0, 2
Let k(g) be the first derivative of -g**8/10920 + g**7/1820 + g**6/260 + g**5/156 + 44*g**3/3 - 23. Let c(x) be the third derivative of k(x). Factor c(u).
-2*u*(u - 5)*(u + 1)**2/13
Let q(c) be the second derivative of -c**4/6 - 83*c**3/12 + 21*c**2/4 + 8*c. Factor q(k).
-(k + 21)*(4*k - 1)/2
Let i(t) be the third derivative of t**7/525 - t**6/20 + 34*t**5/75 - t**4 - 48*t**3/5 - 4*t**2 - 40. Factor i(r).
2*(r - 6)**2*(r - 4)*(r + 1)/5
Factor -35*p - 43/8*p**3 + 241/8*p**2 + 25/2 - 17/8*p**4 - 1/8*p**5.
-(p - 1)**3*(p + 10)**2/8
Determine b, given that -29 + 2*b**3 - 4*b**2 + 10*b**2 + 6 + 15 = 0.
-2, 1
Let q(y) be the third derivative of -y**7/1260 + 2*y**6/45 + 59*y**5/120 + 73*y**4/36 + 37*y**3/9 + 456*y**2. Solve q(p) = 0 for p.
-2, -1, 37
Find d such that -1394 + 1394 + 24*d**2 - 12*d**3 - 16*d + 2*d**4 = 0.
0, 2
Let j be 12/(-3)*(-10)/8. Suppose -j*t + 3 = -7. Determine b so that 2*b**3 - 6*b + 8 + 16*b**t - 6*b**3 - 14*b = 0.
1, 2
Let s(a) be the second derivative of -6*a + 0 + 2/5*a**3 + 2/75*a**6 + 0*a**2 - 1/3*a**4 + 1/25*a**5. What is t in s(t) = 0?
-3, 0, 1
Let r(u) be the first derivative of 1/2*u**4 - 10 - 5*u**2 + 2*u**3 + 1/20*u**5 + 0*u. Let k(n) be the second derivative of r(n). Factor k(y).
3*(y + 2)**2
Let q(l) be the se