/7
Let y = 20 + -20. Let u = -25/44 - -3/4. Factor 0 + u*c**2 + y*c.
2*c**2/11
Let o(m) be the third derivative of -m**8/168 + m**6/30 - m**4/12 - 76*m**2. What is i in o(i) = 0?
-1, 0, 1
Let u = -5 - -7. Let n be ((-64)/(-1120))/(1*(-1)/(-5)). Determine c so that -4/7 - n*c**u + 6/7*c = 0.
1, 2
Let f(q) be the third derivative of 0*q + 7*q**2 + 0 - 1/8*q**4 + 0*q**3 + 1/40*q**5. Determine n so that f(n) = 0.
0, 2
Let b(l) be the first derivative of -2*l**6/15 + 52*l**5/25 - 18*l**4/5 - 128*l**3/3 - 256*l**2/5 + 103. Suppose b(k) = 0. Calculate k.
-2, -1, 0, 8
Factor -2/3*r**2 + 8/3*r + 10/3.
-2*(r - 5)*(r + 1)/3
Let l be 54/(-42) + (-99)/(-77). Factor -1/6*z**5 + 0 - 5/6*z**4 - 7/6*z**3 + l*z - 1/2*z**2.
-z**2*(z + 1)**2*(z + 3)/6
Let d(o) be the second derivative of -o**6/480 - o**5/48 - o**4/12 - o**3/6 - 16*o**2 + 21*o. Let q(l) be the first derivative of d(l). Factor q(i).
-(i + 1)*(i + 2)**2/4
Suppose -10*x + 7*x = 36. Let c be 2/x*-4*3. Factor -11*l**3 - 8*l**4 + 8 - 4*l**5 - 28*l - 11*l**2 + 43*l**3 + 3*l**c + 8.
-4*(l - 1)**3*(l + 1)*(l + 4)
Let q(s) be the first derivative of -s**3/3 - 129*s**2/2 - 128*s - 703. Solve q(c) = 0 for c.
-128, -1
Solve 52*g**2 - 5408*g + 562432/3 - 1/6*g**3 = 0 for g.
104
Let o = 2529/2110 - -3/2110. Let -3/5*q + 0 + o*q**2 - 3/5*q**3 = 0. Calculate q.
0, 1
Let b(a) be the first derivative of -a**6/33 + 8*a**5/55 - 28*a**3/33 + 17*a**2/11 - 12*a/11 - 174. Determine t so that b(t) = 0.
-2, 1, 3
Let y = -19 + 13. Let r(t) = 5*t**2 - 6*t - 6. Let c(m) = -6*m**2 + 5*m - m**2 + m**2 + 5 + 2*m**2. Let j(g) = y*c(g) - 5*r(g). Factor j(h).
-h**2
Let r be 1*(-5)/15*-15. Let x(v) be the third derivative of 0*v**3 - 2/35*v**7 + 2*v**2 + 0 + 1/15*v**6 + 1/5*v**r - 1/3*v**4 + 0*v. Factor x(l).
-4*l*(l - 1)*(l + 1)*(3*l - 2)
Let s(q) be the third derivative of -q**6/72 - 19*q**5/36 - 40*q**4/9 - 50*q**3/3 - q**2 + 634. Factor s(f).
-5*(f + 2)**2*(f + 15)/3
Let y(q) = -2*q**2 + 48*q - 16. Let v(l) = 3*l**2 - 97*l + 33. Let m = 51 + -45. Let a(w) = m*v(w) + 13*y(w). Let a(s) = 0. Calculate s.
1/4, 5
Factor 0*i - 29*i - 54 + 8*i + 3*i**2.
3*(i - 9)*(i + 2)
Let n(o) be the second derivative of o**5/80 + o**4/48 - o**3/4 + 87*o. Factor n(c).
c*(c - 2)*(c + 3)/4
Let c(t) be the second derivative of 12*t**6/5 + 51*t**5/20 + 3*t**4/4 - 256*t. Factor c(x).
3*x**2*(3*x + 1)*(8*x + 3)
Let j(x) be the third derivative of x**7/168 + x**6/144 + x**4/4 + 11*x**2. Let r(m) be the second derivative of j(m). Factor r(g).
5*g*(3*g + 1)
Let j(g) be the first derivative of -5*g**8/336 + g**6/12 - 5*g**4/24 + g**2/2 - 11. Let r(h) be the second derivative of j(h). Find y such that r(y) = 0.
-1, 0, 1
Suppose z = -3, -z = 10*f + 2 - 49. Find j, given that -f*j**2 + 0 - 5/3*j**3 - 10/3*j = 0.
-2, -1, 0
Let o(x) be the second derivative of 12*x**4 + 55*x**3 + 41*x**2 - 17*x - 12*x + 9*x**2 - 15*x**3. Factor o(s).
4*(6*s + 5)**2
Let j(y) = 2*y**2 - 305*y - 4660. Let t be j(-14). Factor 0 - 1/8*o**t + 1/4*o.
-o*(o - 2)/8
Factor 45/8*d + 2*d**2 + 1/8*d**3 - 81/4.
(d - 2)*(d + 9)**2/8
Let h(p) = -2*p**3 + 8*p**2 + 15*p - 25. Let c be h(5). Suppose 4*n - 3 = n, 3*n = 4*b - 9. Factor c*y**2 + 4/19 - 2/19*y**b + 6/19*y.
-2*(y - 2)*(y + 1)**2/19
Let c(l) be the first derivative of l**5/10 + 3*l**4/16 - 2*l**3/3 + 3*l**2/8 + 25. Suppose c(i) = 0. Calculate i.
-3, 0, 1/2, 1
Solve -100*w - 18 + 30 - 5*w**2 + 36 - 9*w - 9*w = 0.
-24, 2/5
Find v, given that 369*v**2 - 10*v - 179*v**2 - 185*v**2 = 0.
0, 2
Let c be (-2)/(-3)*3/30. Let z = 1/10 + c. Factor 1/6*s + 0 + 0*s**2 - z*s**3.
-s*(s - 1)*(s + 1)/6
Let v(l) be the third derivative of -l**7/504 + l**6/36 - l**5/6 - 3*l**4/4 + 15*l**2. Let q(g) be the second derivative of v(g). Factor q(z).
-5*(z - 2)**2
Let i(c) be the third derivative of 0*c**3 + 1/24*c**4 - 5*c**2 - 1/40*c**6 - 1/105*c**7 + 0*c + 0 + 0*c**5. Factor i(s).
-s*(s + 1)**2*(2*s - 1)
Let -24 - 61 + 5 + 5*v**2 - 75*v = 0. What is v?
-1, 16
Suppose 3*a - 3 = -0*a, 4*v + 5*a = 5. Let n(x) be the third derivative of v*x + 1/14*x**4 + 4/21*x**3 + 0 + 1/70*x**5 + 3*x**2 + 1/840*x**6. Factor n(o).
(o + 2)**3/7
Solve -16*u + 0*u + 21*u**3 - 86*u**4 - 64*u**2 + 10*u**5 - 48*u + 183*u**3 = 0 for u.
-2/5, 0, 1, 4
Suppose -4*m + 8 + 8 = 0. Let i(x) be the second derivative of -1/36*x**m + 4*x + 1/9*x**3 + 0*x**2 + 0. What is v in i(v) = 0?
0, 2
Let p(d) be the second derivative of 3*d**5/20 + 5*d**4/2 + 14*d**3 + 36*d**2 - 186*d. Factor p(w).
3*(w + 2)**2*(w + 6)
Let u(c) be the first derivative of -c**7/4620 + c**6/990 + c**5/660 - c**4/66 + 10*c**3/3 - 2. Let a(b) be the third derivative of u(b). Factor a(j).
-2*(j - 2)*(j - 1)*(j + 1)/11
Let u(i) be the first derivative of 0*i**4 + 0*i - 5/3*i**3 + i**5 + 5 + 0*i**2. Factor u(p).
5*p**2*(p - 1)*(p + 1)
Let h = 16342 + -16340. Determine l, given that -8/5 - 2/5*l + 1/5*l**h = 0.
-2, 4
Let j(c) be the first derivative of 0*c - 1/5*c**2 - 23 + 8/25*c**5 - 1/15*c**6 + 8/15*c**3 - 3/5*c**4. Factor j(g).
-2*g*(g - 1)**4/5
Solve 0*i + 1/5*i**3 + 2/5*i**2 + 0 = 0.
-2, 0
Suppose 15 - 75 = -10*d. Let h be (d/(-20))/(12/(-20)). Determine q so that 0 + 0*q**2 - h*q**3 + 2*q = 0.
-2, 0, 2
Let r(f) = 13*f**2 - 7*f + 5. Let l(q) = q**2 - q + 1. Let w(t) = -22*l(t) + 2*r(t). Factor w(h).
4*(h - 1)*(h + 3)
Let k(b) be the first derivative of -3*b**2 - 14/3*b**3 - 5/2*b**4 - 20 - 2/5*b**5 + 0*b. Solve k(q) = 0.
-3, -1, 0
Let v(a) = -12*a**3 - 22*a**2 + 10*a. Let i(f) be the third derivative of -f**6/10 - 7*f**5/20 + 11*f**4/24 - 5*f**2. Let w(k) = -6*i(k) + 5*v(k). Factor w(t).
4*t*(t + 2)*(3*t - 2)
Suppose 133 = 5*v - n, 2*v - 6*v + n = -107. Let r = -21 + v. Factor 3*l**3 + l**3 - 4*l**5 - 4*l**4 + l**5 - l**r + 4*l**2.
-4*l**2*(l - 1)*(l + 1)**2
Factor -14/19*o**4 + 2*o**3 + 0 - 34/19*o**2 + 10/19*o.
-2*o*(o - 1)**2*(7*o - 5)/19
Determine o so that 4876*o**2 - 416 + 5*o**4 - o**4 - 2*o**4 + 608*o + 40*o**3 - 5164*o**2 = 0.
-26, 2
Let d(o) be the third derivative of 3/560*o**7 + 0 + 0*o + 49/8*o**3 - 273/64*o**4 - 28*o**2 - 47/320*o**6 + 219/160*o**5. Suppose d(i) = 0. Calculate i.
2/3, 1, 7
Suppose 0 = -47*n + 44*n + 9. Let l(v) be the second derivative of 1/3*v**3 - 1/36*v**4 + 0 + n*v - 3/2*v**2. Factor l(m).
-(m - 3)**2/3
Let g(p) be the second derivative of -p**9/1008 + 3*p**7/280 + p**6/60 - p**3/3 - 3*p. Let x(c) be the second derivative of g(c). Factor x(u).
-3*u**2*(u - 2)*(u + 1)**2
Let s(x) be the second derivative of x**5/3 - 4*x**4/9 - 10*x**3/9 + 8*x**2/3 + 43*x. Factor s(l).
4*(l - 1)*(l + 1)*(5*l - 4)/3
Let w(a) = 4*a**3 + 8*a**2 + 4*a. Let x(y) = y**5 + y**4 + y**2 + y. Suppose -3*c - 2*c + 5 = 0. Let b(t) = c*w(t) - 4*x(t). Factor b(z).
-4*z**2*(z - 1)*(z + 1)**2
Let f(r) be the second derivative of -r**8/84 + 2*r**7/35 - 4*r**5/15 - r**2/2 + 15*r. Let s(h) be the first derivative of f(h). Factor s(q).
-4*q**2*(q - 2)**2*(q + 1)
Let i be (-3)/(15/6 + -3). Let y(d) be the third derivative of 1/168*d**8 + 1/20*d**i - 1/35*d**7 - 3*d**2 + 0*d + 0*d**4 + 0*d**3 - 1/30*d**5 + 0. Factor y(s).
2*s**2*(s - 1)**3
Let g be 16 + 0/1 + -1. Let q = g - 11. Solve 3*j**3 - 3*j**3 - 13*j**4 + 12*j**q = 0 for j.
0
Suppose 3*h = -2*c + 2 + 12, -3*h + 18 = 3*c. Let -4*t**h + 29*t - 49*t + 24*t = 0. Calculate t.
0, 1
Let m(n) = n**2 - 2*n - 1. Let p be m(4). Suppose o + 3*t = p*t + 20, 2*t = -8. Find x, given that -10*x**2 - 8*x**3 + 4*x**o + 2*x**4 + 3*x + x = 0.
-1, 0, 1/3, 2
Let m = -508 + 510. Let v(d) be the second derivative of 28/165*d**6 + 0*d**3 - 7*d + 2/55*d**5 + 0 + 0*d**4 + 0*d**m + 7/33*d**7. Factor v(x).
2*x**3*(7*x + 2)**2/11
Let f = -152 + 152. Let i(b) be the first derivative of -b**2 + 2 + 1/3*b**6 + 4/3*b**3 + 0*b + f*b**4 - 4/5*b**5. What is j in i(j) = 0?
-1, 0, 1
Let h = 28 - 24. Let r = 4 + h. Solve r*s**3 + 12*s**4 + 4*s**3 + 0*s**2 + 2*s**5 + 2*s**5 + 4*s**2 = 0 for s.
-1, 0
Let t(u) = u**3 + 27*u**2 + 25*u - 26. Let f be t(-26). Let d be 5/2 - (3 - 1). Find c, given that f - d*c**3 - 1/2*c**2 + c = 0.
-2, 0, 1
Let b(w) = -w**2 - 23*w - 17. Let h(x) be the second derivative of -x**4/12 - 11*x**3/6 - 4*x**2 - 8*x. Let i(t) = 2*b(t) - 5*h(t). Factor i(c).
3*(c + 1)*(c + 2)
Let p(j) be the second derivative of 6*j - 3/10*j**5 + 0 - 23/24*j**4 + 1/2*j**2 + 1/4*j**3. Factor p(m).
-(m + 2)*(3*