2/15*o**3 = 0 for o.
0, 1
Let m(k) be the third derivative of k**5/360 + 11*k**4/16 - 4*k**2 + 41. Factor m(c).
c*(c + 99)/6
Suppose -4*d = -13 + 1. Let s be 0 - d/5 - (28 + -29). Let -s*g**2 - 4/5*g + 0 = 0. Calculate g.
-2, 0
Suppose 19*h + 130 = 24*h. Let i be (-1 - h/(-8)) + (-6)/24. Determine x so that -2/9*x**i + 0 + 2/9*x = 0.
0, 1
Let d(w) = w**2 - w + 9. Let f be d(5). Factor 10*h**2 - 50*h + 4 - f + 5*h.
5*(h - 5)*(2*h + 1)
Let s be (-2)/(-15) - (-86)/30. Suppose 0*t - 15 = -s*t. Let 4*w**5 - 11*w**3 + 4*w**2 + 12*w**4 + 23*w**3 + 0*w**t = 0. What is w?
-1, 0
Let c(a) be the second derivative of -a**5/60 + a**4/36 + 5*a**3/9 + 4*a**2/3 - 4*a. Factor c(h).
-(h - 4)*(h + 1)*(h + 2)/3
Factor 64/7 + 24/7*w**2 - 2/7*w**3 - 72/7*w.
-2*(w - 8)*(w - 2)**2/7
Suppose -s + 3*c - 10 = 0, s + 3*c = -0*c + 8. Let n be ((-2)/1 - -1)*s. Solve -w**4 + 42*w**5 - n - 82*w**5 + 6*w**3 - 3*w + 2*w**2 + 37*w**5 = 0 for w.
-1, -1/3, 1
Suppose p = 5 + 3. Let j be (-3 + (-94)/(-32))/((-2)/p). Factor -3/4*u - 1/2 - j*u**2.
-(u + 1)*(u + 2)/4
Let q(l) = l**3 - 13*l**2 + 18*l + 78. Let h be q(4). What is v in -3/2*v**2 - 6 - h*v = 0?
-2
Solve -64/5*i + 36/5*i**2 + 2/5*i**4 + 18/5*i**3 - 192/5 = 0 for i.
-4, -3, 2
Let j(o) be the first derivative of o**6/72 + o**5/8 + 5*o**4/12 + 17*o**3 + 41. Let a(h) be the third derivative of j(h). Factor a(g).
5*(g + 1)*(g + 2)
Let q(i) be the first derivative of -3*i**5 - 115*i**4/2 + 335*i**3 - 390*i**2 - 380*i - 574. Determine m so that q(m) = 0.
-19, -1/3, 2
Let n(r) be the third derivative of 1/84*r**8 + 41*r**2 - 38/15*r**5 + 0 + 14/3*r**4 + 0*r + 5/6*r**6 - 16/105*r**7 - 16/3*r**3. Suppose n(g) = 0. What is g?
1, 2
Let d = 16472/28777 - 4/4111. Factor 44/7*w**2 + 8/7*w**3 - d*w**4 - 48/7*w - 144/7.
-4*(w - 3)**2*(w + 2)**2/7
Let o(p) be the third derivative of p**8/252 + p**7/63 - p**6/45 - 11*p**5/90 + p**4/9 + 4*p**3/9 - 65*p**2. Suppose o(h) = 0. What is h?
-2, -1/2, 1
Let f = -2947 + 2950. Factor -12/7 + 0*k + 3/7*k**f + 9/7*k**2.
3*(k - 1)*(k + 2)**2/7
Factor -o**2 + 0*o + 1/4*o**4 - 3/4*o**3 + 0.
o**2*(o - 4)*(o + 1)/4
Let n(m) = -m**2 + 1. Let v(b) be the first derivative of -4*b**3/3 + 5*b**2 - 22*b + 14. Let c(o) = -6*n(o) + 2*v(o). Suppose c(g) = 0. Calculate g.
5
Let c = -98 + 98. Let z(r) be the second derivative of 1/84*r**7 - 4*r + c + 0*r**2 + 0*r**4 + 0*r**3 - 1/60*r**6 - 1/20*r**5. Factor z(x).
x**3*(x - 2)*(x + 1)/2
Let j(l) be the third derivative of 0 + 1/24*l**4 + 1/90*l**5 + 11*l**2 - 1/360*l**6 + 0*l + 0*l**3. Factor j(h).
-h*(h - 3)*(h + 1)/3
Let u(x) be the first derivative of x**3/12 + x**2/2 + x + 106. What is r in u(r) = 0?
-2
Let d be (1/3)/(58/(-30) - -2). Let x = -2 + d. Factor -3/7*h - 9/7*h**x + 0 - 3/7*h**4 - 9/7*h**2.
-3*h*(h + 1)**3/7
Let m(j) be the third derivative of -26*j**7/21 - 5*j**6/2 + 83*j**5/12 - 5*j**4/2 - 10*j**3/3 - 711*j**2. What is s in m(s) = 0?
-2, -2/13, 1/2
Suppose -3*n = 2*o - 0*n - 6, 0 = -2*o - n + 2. Suppose 0 = -u + 1, 3*h - 2*u + 7*u - 26 = o. Factor 10*l**3 - h*l**3 - 8*l**2 - 28*l + 1 + 7 + 25*l**3.
4*(l - 1)*(l + 1)*(7*l - 2)
Let s(x) be the first derivative of 0*x**3 + 0*x**5 - 1/70*x**7 + 0*x**6 - 4*x**2 + 0*x**4 + 0*x - 2. Let u(f) be the second derivative of s(f). Factor u(a).
-3*a**4
Let w(g) be the second derivative of g**5/80 + 3*g**4/8 + 9*g**3/2 + 27*g**2 - 164*g. Factor w(s).
(s + 6)**3/4
Let q(i) = 13*i + 2. Let r(v) = -2*v**2 + 25*v + 2. Let b(t) = -14*q(t) + 6*r(t). Factor b(n).
-4*(n + 2)*(3*n + 2)
Factor -2/23*d**2 + 40/23*d + 0 - 2/23*d**3.
-2*d*(d - 4)*(d + 5)/23
Let f(u) be the second derivative of -u**7/42 - 11*u**6/30 + 13*u**5/20 + 11*u**4/12 - 2*u**3 + 22*u - 3. Factor f(x).
-x*(x - 1)**2*(x + 1)*(x + 12)
Let c(z) be the second derivative of -1/7*z**2 - 4*z - 2/21*z**3 + 0 - 1/42*z**4. What is r in c(r) = 0?
-1
Let p(w) = -w**2 - 3*w - 2. Suppose 0 = k - 3*r + 13, 7*k - 3*k + 5*r - 16 = 0. Let c be p(k). What is m in c - 4/11*m - 2/11*m**2 = 0?
-2, 0
Let f = -7027/3 + 2343. Suppose 0*s**2 - 1/3 + f*s + 1/3*s**4 - 2/3*s**3 = 0. What is s?
-1, 1
Let k(n) be the first derivative of -n**4/12 - 20*n**3/9 + 7*n**2/2 + 121. Factor k(a).
-a*(a - 1)*(a + 21)/3
Let u be 4 + 2/((-24)/12). Let c(j) be the first derivative of -4 + 0*j + 4/3*j**u - 2*j**2. Factor c(l).
4*l*(l - 1)
Let z be (19/76)/((-1)/(-8)). Factor -z*u**3 - 2*u**2 + u**2 - 2*u**2 + u**2.
-2*u**2*(u + 1)
Let b(v) be the first derivative of 4*v**5/35 + 5*v**4/7 + 16*v**3/21 + 130. Factor b(o).
4*o**2*(o + 1)*(o + 4)/7
Let o = 753245/234 - 3219. Let b = o - -239/1170. Factor 0 + 0*y + 1/5*y**3 + 0*y**2 - 2/5*y**4 + b*y**5.
y**3*(y - 1)**2/5
Let b = -27655/7 + 3951. Factor 1/7*o + 1/7*o**3 + b*o**2 + 0.
o*(o + 1)**2/7
Let o(g) be the third derivative of -g**5/15 + g**4 + 110*g**2. Factor o(t).
-4*t*(t - 6)
Let -335 + 4*q**3 - 108*q**2 + 56*q**2 + 204*q + 83 = 0. What is q?
3, 7
Suppose 0 = -4*a + 1 + 15. Suppose -3*g + 5*z - 19 = 0, -4*g - a = -2*z - 2. Determine c so that 129 - c**4 - 129 - 2*c + c**g + 2*c**3 = 0.
-1, 0, 1, 2
Let z(o) be the third derivative of -7*o**6/300 + o**5/10 - 2*o**4/15 - 888*o**2. Factor z(v).
-2*v*(v - 1)*(7*v - 8)/5
Let x = -46 + 48. Suppose x*p + 2*l = 0, -p - 3*p + 2*l = -24. Suppose 0*d + 0*d**3 + 0 + 2/7*d**2 - 2/7*d**p = 0. What is d?
-1, 0, 1
Let f(r) = -2*r**4 - 3*r**3 - 7*r**2 + 6*r. Let q(w) = -4*w**4 - 6*w**3 - 13*w**2 + 11*w. Let m be (11/2)/(5/10). Let l(j) = m*f(j) - 6*q(j). Factor l(v).
v**2*(v + 1)*(2*v + 1)
Let z be (141*1 - 0)*(-23 + 24). Let h = z - 139. Suppose 2/3*s**h + 0 + 2*s = 0. Calculate s.
-3, 0
Let m be (-5033)/840 + (15 - 9). Let h(r) be the third derivative of 0*r**3 + 0 - 9*r**2 + 1/150*r**5 + 1/600*r**6 + m*r**4 + 0*r. Let h(d) = 0. Calculate d.
-1, 0
Let b(s) = s + 7. Let h(w) = -2*w - 12. Let p(i) = -7*b(i) - 4*h(i). Let y(n) = 4*n**2 + 38*n - 10. Let o(q) = 10*p(q) - y(q). Solve o(m) = 0 for m.
-7, 0
Let g(a) be the third derivative of 0*a + 0 - 1/36*a**4 - 13*a**2 + 0*a**3 + 1/30*a**5. Solve g(m) = 0 for m.
0, 1/3
Let 12*y**5 - 94*y**4 - 5 + 5 - 8*y**2 + 72*y**2 - 64*y + 172*y**3 = 0. What is y?
-2/3, 0, 1/2, 4
Let b(t) = 3786*t**2 + 80 - 3781*t**2 - 21*t - 13*t. Let h(z) = 20*z**2 - 135*z + 320. Let v(o) = -25*b(o) + 6*h(o). Factor v(g).
-5*(g - 4)**2
Let b(u) be the second derivative of 0 + 2*u + 1/110*u**5 + 3/11*u**2 + 1/66*u**4 - 5/33*u**3. Factor b(h).
2*(h - 1)**2*(h + 3)/11
Let p(x) be the first derivative of -2/27*x**3 + 4/9*x**2 - 2/3*x + 6. Factor p(g).
-2*(g - 3)*(g - 1)/9
Suppose 17 = 27*r - 12 - 25. Factor -2/3 + 0*d + 2/3*d**r.
2*(d - 1)*(d + 1)/3
Let o be 99/12 + -3 - 3. Let c(k) be the first derivative of 0*k**2 - 3/5*k**5 - o*k**4 + 0*k - 2 - 2*k**3. Find t, given that c(t) = 0.
-2, -1, 0
Let q = 2610 + -2607. Factor -6/5*g**2 + 9/5*g - 6/5*g**q - 3/5*g**5 - 3/5 + 9/5*g**4.
-3*(g - 1)**4*(g + 1)/5
Let a(m) be the first derivative of 128*m + 16*m**2 + 2/3*m**3 + 50. Factor a(l).
2*(l + 8)**2
Let t(p) be the third derivative of p**5/20 - 19*p**4 + 2888*p**3 + 451*p**2. Factor t(l).
3*(l - 76)**2
Factor 296/5*z**2 + 156/5*z**3 + 272/5*z + 4/5*z**5 + 96/5 + 8*z**4.
4*(z + 1)*(z + 2)**3*(z + 3)/5
What is q in 99*q**2 + 143748 - 6534*q - 1/2*q**3 = 0?
66
Factor 169*r + r**2 - 397*r + 179*r + 232*r - 184.
(r - 1)*(r + 184)
Let v(f) be the third derivative of -f**6/24 - 33*f**5/4 - 4165*f**4/8 - 12005*f**3/6 - 237*f**2. Factor v(x).
-5*(x + 1)*(x + 49)**2
Factor -9 + 168*c - 168*c + 13*c**2 + c**3 + 3*c**3.
(c + 1)*(c + 3)*(4*c - 3)
Let u(g) = 2*g**5 + 15*g**4 + 37*g**3 + 24*g**2. Let i(o) = -4*o**5 - 31*o**4 - 75*o**3 - 48*o**2. Let k(a) = -6*i(a) - 10*u(a). Find x such that k(x) = 0.
-6, -2, -1, 0
Determine d so that -636*d - 18*d**3 + 20*d**3 + 14*d**2 + 660*d = 0.
-4, -3, 0
Let -3*p**4 - 48 - 42*p**3 - 216*p**2 - 480*p - 341 + 5 = 0. What is p?
-4, -2
Let o(r) be the first derivative of 1/12*r**3 + 0*r**2 + 0*r - 1/8*r**4 - 26 + 1/20*r**5. Factor o(g).
g**2*(g - 1)**2/4
Let d(h) be the third derivative of -2*h**7/105 - h**6/15 + h**5/3 + h**4 - 180*h**2. Factor d(j).
-4*j*(j - 2)*(j + 1)*(j + 3)
Let r(a) = -25*a**2 - a + 2. Let u be r(0). What is p in -7/4*p**3 - 1/2 + 1/4*p + 3/2*p**u + 1/2*p**4 = 0?
-1/2, 1, 2
Let i(s) be the second derivative of s + 1/110*s**5 + 1/330*s**6 - 1/462*s**7 + 1/22*s