334/9 - 27370. Let -2/9*l**5 + 4/9*l**4 - 8/9*l**2 + b + 4/9*l**3 - 2/9*l = 0. Calculate l.
-1, 1, 2
Suppose 2*r - a = 6, 10*r - 11*r = -5*a + 15. Let 0*s + 6/5*s**4 + 8/5*s**2 + 0 + 1/5*s**r + 12/5*s**3 = 0. What is s?
-2, 0
Let h(q) be the first derivative of q**6/3 - 8*q**5/5 - 7*q**4/2 + 20*q**3/3 - 73. Factor h(s).
2*s**2*(s - 5)*(s - 1)*(s + 2)
Let b be 8/(-3)*207/(-92). Let u(a) be the third derivative of -2/9*a**5 + 1/12*a**4 + 1/9*a**3 - 4*a**2 + 64/315*a**7 + 0 - 4/15*a**b + 0*a. Solve u(x) = 0.
-1/4, 1/4, 1
Let p(v) be the third derivative of 0 + 0*v + 8*v**2 + 0*v**3 - 1/40*v**5 + 3/8*v**4. Factor p(i).
-3*i*(i - 6)/2
Let s(v) be the second derivative of -v**7/21 + 11*v**6/30 - 19*v**5/20 + 13*v**4/12 - v**3/2 - 128*v. Suppose s(d) = 0. Calculate d.
0, 1/2, 1, 3
Let i(q) be the third derivative of -1/60*q**5 - 7*q**2 + 0*q + 0 + 1/6*q**3 - 1/16*q**4. Factor i(o).
-(o + 2)*(2*o - 1)/2
Suppose -5*s - 5*a - 22 = -4*s, -3*s = 5*a + 26. Let n(y) = y**3 + 8*y**2 + 8*y - 2. Let w(g) = -g**2 + 1. Let o(v) = s*w(v) - n(v). Solve o(k) = 0.
-4, -2, 0
Let q(a) be the first derivative of 0*a**2 + 4/105*a**5 + 2*a**3 - 1/21*a**4 + 5 + 0*a - 1/180*a**6. Let l(n) be the third derivative of q(n). Factor l(y).
-2*(y - 2)*(7*y - 2)/7
Let l(r) be the third derivative of 7*r**6/30 + 9*r**5 + 46*r**4 + 136*r**3/3 - 67*r**2 + r. Factor l(h).
4*(h + 2)*(h + 17)*(7*h + 2)
Let r(a) be the second derivative of a**7/3780 - a**6/54 + 5*a**5/9 - 25*a**4/12 + 21*a. Let f(y) be the third derivative of r(y). Factor f(v).
2*(v - 10)**2/3
Suppose -4*m - 4*i + 19 = -i, 2*m + 4*i - 12 = 0. Suppose -m = -4*y + 4. Determine a, given that 1/6*a**3 + 1/6 + 1/2*a + 1/2*a**y = 0.
-1
Let k(f) be the first derivative of -f**3/18 + 11*f**2/2 - 363*f/2 - 121. Let k(z) = 0. Calculate z.
33
Let m(l) = -58797*l**3 + 40877*l**2 - 1123*l + 11. Let r(i) = -117593*i**3 + 81753*i**2 - 2243*i + 23. Let h(b) = -7*m(b) + 3*r(b). Factor h(t).
4*(3*t - 2)*(70*t - 1)**2
Let g(f) be the first derivative of 0*f - 4/15*f**3 + 6 + 0*f**2 + 2/25*f**5 - 1/10*f**4. Factor g(y).
2*y**2*(y - 2)*(y + 1)/5
Let z(r) = 9*r. Let c(u) = 4*u**2 - 126*u - 76. Let p(o) = c(o) + 6*z(o). Solve p(m) = 0 for m.
-1, 19
Suppose -29*d**2 + 9*d**2 + 18*d - 4*d**3 + 6*d**3 = 0. What is d?
0, 1, 9
Let c(f) be the first derivative of -3*f**4/32 + 25*f**3/8 + 21*f**2 + 87*f/2 + 143. Factor c(j).
-3*(j - 29)*(j + 2)**2/8
Let u = -720/11 + 64811/990. Let a(h) be the second derivative of -u*h**5 + 2/9*h**2 + 0 + 0*h**4 + 1/9*h**3 - 3*h. Let a(k) = 0. Calculate k.
-1, 2
Let s(z) be the first derivative of 6*z**5/35 - 5*z**4 + 298*z**3/7 - 396*z**2/7 - 968*z/7 - 291. Let s(p) = 0. What is p?
-2/3, 2, 11
Factor 3/7*r**3 + 0 - 18/7*r + 15/7*r**2.
3*r*(r - 1)*(r + 6)/7
Let v(o) be the second derivative of 9/20*o**5 + 0*o**2 + 1/14*o**7 - 31*o - 2*o**3 + 0 - 1/2*o**6 + 5/4*o**4. Factor v(a).
3*a*(a - 4)*(a - 1)**2*(a + 1)
Let v(k) be the second derivative of k**6/90 - k**5/15 - k**4/12 + 5*k**3/9 + 4*k**2/3 + 386*k. Factor v(i).
(i - 4)*(i - 2)*(i + 1)**2/3
Let r be 0 - 0/(-1 + 5). Suppose 0 = 3*u + 4*w - 6 - r, 0 = -2*u - 3*w + 4. Factor 2*q**2 - 4*q**u + q + q.
-2*q*(q - 1)
Let l(p) be the second derivative of 1/120*p**6 + 0*p**3 + 0*p**4 + 0*p**2 - 10*p + 0 + 0*p**5. Factor l(m).
m**4/4
Let a(t) be the second derivative of -5/2*t**3 + 0 + 39*t - 45/2*t**2 + 25/12*t**4 - 1/4*t**5. Solve a(x) = 0 for x.
-1, 3
Find q, given that 57/8*q**2 - 3/2 - 51/8*q**3 + 12*q = 0.
-1, 2/17, 2
Let v(o) be the third derivative of -o**5/12 - 35*o**4/12 - 245*o**3/6 - 6*o**2 + 3. Determine m, given that v(m) = 0.
-7
Let d be 16 + 0 - 31584/(-126). Find n, given that -128/3 - 280/3*n**4 + d*n + 16/3*n**5 - 1730/3*n**2 + 1420/3*n**3 = 0.
1/2, 8
Let j be ((42/(-714))/((-4)/17))/((-1)/(-29)). Let 5*p - 1/2*p**3 - 9/2*p**5 + 1 + j*p**2 - 33/4*p**4 = 0. What is p?
-1, -2/3, -1/2, 1
Suppose 2*d = 6*d - 128. Let 33 - 9 + 4*l**2 - 52*l + d*l = 0. Calculate l.
2, 3
Let f = -4613/5 + 925. Factor 2/5*y**3 + 0 + 18/5*y - f*y**2.
2*y*(y - 3)**2/5
Suppose 42 = -110*b + 152*b. Factor -b + 1/2*a + 15/2*a**2 + 7/2*a**4 + 19/2*a**3.
(a + 1)**3*(7*a - 2)/2
Factor 90*q**2 - 14*q**3 - 12*q**3 - 104*q + 40 + 2*q**4 - 38*q**3 + 36*q**3.
2*(q - 10)*(q - 2)*(q - 1)**2
Let p be (-544)/(-48)*(2 + 2 + -1). Let m = p + -135/4. Factor 1/4*n + 0 - m*n**2.
-n*(n - 1)/4
Let o be ((-680)/35 - -4) + 16. Factor 0 + 10/7*c**2 - o*c.
2*c*(5*c - 2)/7
Factor 1 - 1 + 27*z**3 + 3*z**4 - 9*z**2 + 36*z + 21*z**2 + 48*z**2.
3*z*(z + 1)*(z + 2)*(z + 6)
Factor 1157*t**3 - 11801*t**3 + 31740*t**2 + 2000 - 13800*t - 13690*t**3.
-2*(23*t - 10)**3
Let s be 75/35 + 2 + 1/(-7). Let g be (6/(-4))/(5/(-2)). Factor -2/5*d**3 + 0*d + 0 + 0*d**2 - g*d**5 + d**s.
-d**3*(d - 1)*(3*d - 2)/5
Let 0*k**4 - 15*k**3 - 9*k - 6*k**3 + 6*k**3 + 21*k**2 + 3*k**4 = 0. Calculate k.
0, 1, 3
Factor 142/15*b + 2/15*b**2 + 28/3.
2*(b + 1)*(b + 70)/15
Let c be (0 - -11)*3/(60/14). Let x = c + -21/5. Factor -11/2*b**3 - 8*b**4 + 0*b + 0 - x*b**5 - b**2.
-b**2*(b + 1)**2*(7*b + 2)/2
Let o(i) be the first derivative of 1/42*i**4 - 1/21*i**2 - 2/21*i + 2/63*i**3 - 1. Factor o(a).
2*(a - 1)*(a + 1)**2/21
Let w(h) be the first derivative of 14/11*h**3 - 4/11*h + 14 + 3/11*h**2 + 18/55*h**5 + 25/22*h**4. Factor w(i).
2*(i + 1)**3*(9*i - 2)/11
Let w(i) be the second derivative of 0*i**2 + 0 + 2*i - 2/7*i**3 + 1/21*i**4. Factor w(q).
4*q*(q - 3)/7
Let v = -774 - -778. Let g(z) be the second derivative of 2/75*z**6 + 2/15*z**3 - 5*z + 0*z**2 + 1/5*z**v + 3/25*z**5 + 0. Factor g(s).
4*s*(s + 1)**3/5
Factor 8*y**2 + 49 - 35*y**2 + 31 + 28*y + 12*y**2 + 17*y**2.
2*(y + 4)*(y + 10)
Factor 24/7*l**2 - 22/7*l**3 - 2/7*l**4 + 0*l + 0.
-2*l**2*(l - 1)*(l + 12)/7
Let s(i) be the second derivative of 4*i**7/63 + i**6/5 - i**5/15 - i**4/2 - 2*i**3/9 + 79*i. Suppose s(u) = 0. What is u?
-2, -1, -1/4, 0, 1
Let w(m) be the first derivative of 0*m**2 - 3 - 1/24*m**4 + 1/12*m**3 - 3*m. Let c(t) be the first derivative of w(t). Let c(n) = 0. Calculate n.
0, 1
Let l = -46 - -508/11. Let y(f) = f**3 - 7*f**2 - 9*f + 10. Let b be y(8). Factor 0 + l*q + 2/11*q**4 - 2/11*q**b - 2/11*q**3.
2*q*(q - 1)**2*(q + 1)/11
Let 20/7*t**3 + 2/7*t**4 + 44/7*t + 2 + 48/7*t**2 = 0. What is t?
-7, -1
Solve 12*h + 112/3 + 2/3*h**2 = 0.
-14, -4
Let j be 279/930 - (8/(-10))/4. Find x such that -j*x - 1/6*x**2 + 0 = 0.
-3, 0
Let p = 4/12569 + 12553/50276. Factor -5/4*b + 1 + p*b**2.
(b - 4)*(b - 1)/4
Factor 48*l**2 - 35*l**4 - l**3 - 64*l - 15*l**3 + 21*l**4 + 16*l**4 + 32.
2*(l - 2)**4
Let j = -168 - -172. Determine v, given that 12*v**3 + 4*v**4 + 4*v - v**4 + 5*v**2 + 7*v**2 + v**j = 0.
-1, 0
Suppose -u = w + 4, -5*u + 6 = -4*w + 17. Let g(f) = 7*f**3 - 5*f**2 + f - 11. Let a(h) = -h**3 - h + 1. Let s(b) = u*g(b) - 24*a(b). Factor s(v).
3*(v + 1)**2*(v + 3)
Let l(p) be the first derivative of p**4/8 + 2*p**3 + 29*p**2/4 + 9*p + 255. Factor l(y).
(y + 1)*(y + 2)*(y + 9)/2
Let l(j) be the second derivative of j**6/180 + j**5/30 + 5*j**4/72 + j**3/18 + 145*j. Find q, given that l(q) = 0.
-2, -1, 0
Factor 16 - 5/3*k**4 - 80/3*k + 40/3*k**2 + 1/3*k**5 + 0*k**3.
(k - 2)**4*(k + 3)/3
Suppose 76*l + 256*l - 61*l = 0. Find q such that 2/5*q**3 + 0 - 8/15*q + l*q**2 + 2/15*q**4 = 0.
-2, 0, 1
Factor 1568/3 - 37/2*c**2 - 1/6*c**3 - 504*c.
-(c - 1)*(c + 56)**2/6
Let o = 8020 + -56136/7. Factor -2/7 + 2/7*y + o*y**2.
2*(y + 1)*(2*y - 1)/7
Let k be (-56)/48*4/14*-22. Let w(x) be the first derivative of -k*x**3 + 2*x**4 - 7 + 5*x**2 + 4*x. Suppose w(g) = 0. What is g?
-1/4, 1, 2
Let c = -384 + 2694/7. Factor -4/7*j + c*j**2 + 0.
2*j*(3*j - 2)/7
Let i(k) be the third derivative of k**8/2240 - k**7/280 + k**6/80 - k**5/40 - k**4/12 + 11*k**2. Let h(w) be the second derivative of i(w). Factor h(j).
3*(j - 1)**3
Let i(n) be the first derivative of -1/6*n**4 - 2/45*n**5 + 0*n - 1/9*n**2 + 16 - 2/9*n**3. Solve i(d) = 0 for d.
-1, 0
Let k(m) be the third derivative of 0 - 5/42*m**4 + 0*m + 32*m**2 - 1/15*m**5 + 4/21*m**3. Factor k(o).
-4*(o + 1)*(7*o - 2)/7
Let p(h) = -10*h + 130. Let z be p(13). Let r(d) be the second derivative of 0 + 1/30*d**5 - 1/9*d**3 + z*d**4 + 1/90*d**6 - 1/6*d**2 - 4*d. Factor r(u).
(u - 1)*(u + 1)**3/3
Let t = 1362 - 108959/80. Let c(w) be the third derivative 