1/2*o**4 + s*o**6 + 0*o**2 + 1/4*o**3 + 2 - 9*o + 39/160*o**5. Factor h(l).
3*l*(l + 2)**2*(3*l + 1)/8
Let y(l) be the third derivative of -5/8*l**4 + 2 + 1/12*l**5 + 20*l**2 + 0*l - 10/3*l**3. Suppose y(v) = 0. Calculate v.
-1, 4
Let p(t) = 6 - t + 3*t - 8 + 32 + 5*t. Let j be p(-4). Find a such that 2/5*a**j + 4/5 + 6/5*a = 0.
-2, -1
Let g be (-3 - 52/(-13))*(-276)/(-69). Suppose -19/3*h**g - 4/3 + 23/3*h**2 + 5/3*h**5 - 16/3*h + 11/3*h**3 = 0. What is h?
-1, -1/5, 1, 2
Let c = 260889/8 + -32611. Let x(t) be the first derivative of 1/10*t**5 + 0*t + 0*t**2 + 8 - c*t**4 + 1/12*t**6 - 1/6*t**3. Suppose x(f) = 0. What is f?
-1, 0, 1
Let m be 410/5125 + (1718/(-1600) - -1). Let y(c) be the third derivative of 1/32*c**4 + 0 + 0*c - m*c**5 + 14*c**2 + 3/16*c**3. Solve y(g) = 0 for g.
-1, 3
Let n(v) = -7*v**2 + 1530*v + 33. Let h(b) = -b**2 - 2*b + 3. Let c(r) = 11*h(r) - n(r). What is u in c(u) = 0?
-388, 0
Let z(l) = 2*l**2 + 10*l + 2. Let b be z(-5). Find w, given that -403 + 147*w + 40*w**2 + 60 - 61*w**b + w**3 = 0.
7
Suppose 0 = 9*m - 47 + 11. Suppose -m*l = 39*l - 5*l. Factor 0 - 2/21*x**2 + 2/21*x**4 + l*x**3 + 0*x.
2*x**2*(x - 1)*(x + 1)/21
Let o = -20 + 40. Factor -o*g - 4*g**3 - 5*g - 24*g**2 - 11*g.
-4*g*(g + 3)**2
Suppose 0 = -b + 2*b - 2. Let d be (-2)/6*(3 - 24/5). Suppose d*f**3 + 6/5*f**b - 3/5*f - 6/5 = 0. What is f?
-2, -1, 1
Let l = 10561 + -10558. Let z(c) be the third derivative of 0 + c**4 + 1/4*c**5 + 0*c + 1/40*c**6 + 2*c**l + 16*c**2. Factor z(o).
3*(o + 1)*(o + 2)**2
Let c(d) = 8*d**3 + 41*d**2 - 183. Let z(b) = 23*b**3 + 121*b**2 - 548. Let k(s) = 8*c(s) - 3*z(s). Factor k(x).
-5*(x - 2)*(x + 3)*(x + 6)
Let u(a) be the first derivative of -2*a**3/7 + 9234*a**2/7 - 14211126*a/7 - 5897. Find g such that u(g) = 0.
1539
Let r = 10989 + -10986. Let t(l) be the second derivative of 1/18*l**4 + 0*l**2 + 2/15*l**5 + 0 + 4/45*l**6 + 0*l**r - 8*l. Factor t(j).
2*j**2*(2*j + 1)**2/3
Let b = -34 - -82. Factor b*m**2 - 18*m + 4*m**4 - 306*m**3 + 594*m**3 - 314*m**3.
2*m*(m - 3)**2*(2*m - 1)
Let h = 1553 - 116474/75. Let v(x) be the second derivative of 2/25*x**5 - 1/5*x**4 + 4/15*x**3 - 6*x - h*x**6 + 0 - 1/5*x**2. Factor v(r).
-2*(r - 1)**4/5
Suppose -10*q = -8*q - 8. Suppose 94 = q*v + 58. Suppose 6*d + 2*d**5 + 6*d**5 - v*d**3 + 2*d**5 - 3*d**4 + 3*d**2 - 7*d**5 = 0. What is d?
-1, 0, 1, 2
Let c = 106168 - 530838/5. Solve -8/5*y**2 + 2*y**4 + 16/5*y - 12/5*y**3 - c*y**5 + 0 = 0.
-1, 0, 2
Factor 0 + 24/5*c**2 + 0*c - 4/5*c**4 + 4/5*c**3.
-4*c**2*(c - 3)*(c + 2)/5
Factor -48*x - 74*x**3 + 15*x**2 - 28*x - 94*x**3 + 169*x**3.
x*(x - 4)*(x + 19)
Let p(q) be the first derivative of q**3 + 243*q**2/2 + 944. Factor p(r).
3*r*(r + 81)
Suppose 0*s - 3*s = 0. Let j = 38233/3 + -12744. What is v in s + j*v + 1/6*v**2 = 0?
-2, 0
Let d = 26/23 - -2/161. Suppose -5735 = -1267*k - 667. What is v in -64/7*v**k + d*v - 32/7*v**5 - 26/7*v**3 + 1/7 + 13/7*v**2 = 0?
-1, -1/4, 1/2
Suppose 4*b + 29 = 4*v + 37, -5 = 5*v - 4*b. Let -3*r**v - 6*r**2 + 40*r - 83*r + 40*r = 0. Calculate r.
-1, 0
Let f(h) = h - 6. Let q be f(20). Let k = q + -10. Factor 2/7*v**3 + 2/7*v**5 + 0*v + 0*v**2 + 0 - 4/7*v**k.
2*v**3*(v - 1)**2/7
Let n(i) be the first derivative of 10*i**3/3 - 425*i**2/2 - 165. Let z(k) = 3*k**2 - 106*k. Let g(d) = 4*n(d) - 15*z(d). Factor g(l).
-5*l*(l + 22)
Let n(a) = -a**4 + 222*a**3 + 298*a**2 - 90*a + 7. Let r(h) = 4*h**4 - 223*h**3 - 297*h**2 + 90*h - 8. Let j(w) = -8*n(w) - 7*r(w). Suppose j(q) = 0. What is q?
-9, -2, 0, 1/4
Let x(t) = t**4 - t**3 - t + 1. Let u(f) = 9*f**2 - 17*f + f**3 + 11*f**2 + 2*f**4 + 5 - 17*f**2 + 6. Let y(m) = -u(m) + 3*x(m). Factor y(j).
(j - 4)*(j - 1)**2*(j + 2)
Let c(p) be the third derivative of 11/3*p**3 - 23*p**2 - 1/120*p**5 + 0*p**4 + 0*p + 0 - 1/1080*p**6. Let v(y) be the first derivative of c(y). Factor v(k).
-k*(k + 3)/3
Let c(p) = 261*p**2 + 11*p - 24. Let l be c(-11). Solve -31464*y - 15 + 4*y**3 + l*y - 9 = 0 for y.
-2, -1, 3
Suppose 3*b - g - 24 = 86, -5*b - 5*g + 150 = 0. Let t be (20/25)/(7/b). Factor 0*m + 0*m**t + 0 - 2/5*m**3 + 2/5*m**5 + 0*m**2.
2*m**3*(m - 1)*(m + 1)/5
Factor -8*r**3 - 115*r**2 + 33*r**3 + 109 - 357*r - 354 - 28*r.
5*(r - 7)*(r + 1)*(5*r + 7)
Factor -207*l - 827/4 - 1/4*l**2.
-(l + 1)*(l + 827)/4
Let l = -10/1353 - 6988/152889. Let a = 184/791 - l. Factor -4/7*v**2 - 2/7*v - a*v**3 + 0.
-2*v*(v + 1)**2/7
Let a(f) be the second derivative of f**6/6 + 43*f**5/4 + 765*f**4/4 - 10115*f**3/6 - 98260*f**2 - 3915*f. Solve a(r) = 0.
-17, 8
Let g = 7/10446 + 501359/73122. Factor -g*w - 52/7 + 4/7*w**2.
4*(w - 13)*(w + 1)/7
Let p = 60/23 + -11423/4370. Let u = 2287/1330 + p. Find f, given that -u*f - 4/7*f**2 - 8/7 = 0.
-2, -1
Solve 550*g**2 + 90*g**2 + 7575*g**3 + 245*g**5 - 620*g - 8975*g**4 + 1135*g**4 = 0 for g.
-2/7, 0, 2/7, 1, 31
Let x(a) be the third derivative of 4/7*a**3 + 0*a - 11/168*a**4 + 1/420*a**5 - 2*a**2 + 7. Solve x(n) = 0 for n.
3, 8
Suppose 3*k + 2*o - 6 = 0, 0 = -4*k + 4*o - 0*o + 8. Let i be 68/120 - (12 - 312/30)*(-7)/(-28). What is s in 27/2 + 3*s + i*s**k = 0?
-9
Let r(z) be the third derivative of z**5/240 - 11*z**4/96 - z**3/2 - 35*z**2 - 5*z - 9. Factor r(t).
(t - 12)*(t + 1)/4
Let y(m) be the first derivative of m**4 - 265*m**3/3 + 2211*m**2 - 1089*m - 2340. Solve y(z) = 0 for z.
1/4, 33
Let z(g) = g**3 - 29*g**2 + 51*g + 79. Let i be z(27). Let k be (-1*3)/(i*(-21)/(-28)). Find p, given that -2/9*p**2 - 16/9 + k*p = 0.
1, 8
Let m be ((-4)/((-40)/(-4) + -4))/(6/(-18)). Factor -1/3*b**m + 8/3*b + 3.
-(b - 9)*(b + 1)/3
Factor -608/5*a - 4/5*a**2 - 240.
-4*(a + 2)*(a + 150)/5
Let r be 585/(-63) + (11 - -4 - 4). Let g(c) be the second derivative of -1/21*c**4 + 24*c + 0 - 10/21*c**3 - r*c**2. Factor g(x).
-4*(x + 2)*(x + 3)/7
Let q = 2259/124 - -25085/2108. Determine m so that -q - 62/17*m**4 - 446/17*m**3 + 448/17*m - 2/17*m**5 + 574/17*m**2 = 0.
-16, -1, 1
Let x = 83550 - 83548. Factor 1/3*m**5 + 4*m**3 + 50/3*m**x - 16/3*m**4 - 77/3*m + 10.
(m - 15)*(m - 1)**3*(m + 2)/3
Let o(q) be the first derivative of -140*q**3/3 + 104*q**2 + 348*q - 12737. Let o(s) = 0. Calculate s.
-1, 87/35
Factor -f**2 + 187*f**2 - 5*f**4 + 16*f**3 - 6*f**3 + 5*f**3 + 84*f**2.
-5*f**2*(f - 9)*(f + 6)
Let n(c) be the second derivative of 0*c**2 - 2*c + 5/3*c**4 + 2/3*c**3 - 36 + 9/20*c**5. Factor n(v).
v*(v + 2)*(9*v + 2)
Let k(p) be the first derivative of 3*p**5/35 - 17*p**4/7 - 362*p**3/21 + 146*p**2/7 + 135*p/7 + 816. Find h, given that k(h) = 0.
-5, -1/3, 1, 27
Let t(f) be the first derivative of -f**6/4 - 258*f**5 - 741315*f**4/8 - 11942645*f**3 - 35274525*f**2 - 35090484*f + 1984. Solve t(m) = 0.
-286, -1
Let w be (2/(-8))/(5 + 2122/(-424)). Suppose 30 - 4*r**2 + 2*r**5 + 9*r**4 + 18*r**4 + 88*r - w*r**4 - 60*r**3 - 30*r = 0. Calculate r.
-1, 1, 15
Suppose 3*y = 5*a - 21, -7*y + 1 = 3*a - 3*y. Suppose 25 - 35*q - 43*q + 14 - a*q**2 + 42 = 0. Calculate q.
-27, 1
Let x(q) be the first derivative of q**7/168 - 5*q**6/72 + q**5/12 + 5*q**4/3 - 200*q**3/3 + 61. Let t(h) be the third derivative of x(h). Factor t(d).
5*(d - 4)*(d - 2)*(d + 1)
Let o(n) be the second derivative of -n**7/14 + 13*n**6/10 - 9*n**5/5 + 92*n + 7. Solve o(f) = 0.
0, 1, 12
Let q be (-32)/176*(-220)/8. Let l(o) be the second derivative of -1/30*o**4 + 1/100*o**q + 15*o + 0*o**2 + 1/30*o**3 + 0. Factor l(y).
y*(y - 1)**2/5
Factor 198/7*q**3 - 5000/7*q + 2/7*q**4 + 4800/7*q**2 + 0.
2*q*(q - 1)*(q + 50)**2/7
Let v = 1914587/13 + -147275. Let -v + 2/13*k**3 + 2*k - 16/13*k**2 = 0. Calculate k.
1, 6
Let r be (-8904)/(-72)*(-1)/((-2)/(-6)). Let a = r + 2609/7. Factor -1875/7*l**2 + 300/7*l - a.
-3*(25*l - 2)**2/7
What is u in u**3 - 971 + 2*u - 3*u**3 - 166*u**2 + 550 + 587 = 0?
-83, -1, 1
Let w(a) = -6*a + 0*a + 5*a - 4 + 12 + 4. Let t be w(8). Factor -9/2*b**t + 3*b**3 + 3/2 + 3*b**2 - 9/2*b + 3/2*b**5.
3*(b - 1)**4*(b + 1)/2
Let s(n) be the third derivative of n**8/168 + 4*n**7/175 + 3*n**6/100 + n**5/75 + 174*n**2 + 4*n. Determine u, given that s(u) = 0.
-1, -2/5, 0
Let l(h) be the third derivative of h**8/5040 + 2*h**7/315 + 7*h**6/180 - 2*h**5/5 + h**4/8 + 4*h**2 - 3. Let s(n) be the third derivative of l(n). Factor s(c).
4*(c + 1)*(c + 7)
Let p(n) be the third derivative of n**5/15 - 143*n**4/24 - 6*n**3 +