f k(o). Factor w(i).
5*(i - 1)**2*(i + 3)
Let w(t) be the second derivative of -t**7/84 + 7*t**6/60 - t**5/8 - 7*t**4/24 + t**3/2 - 37*t + 2. Solve w(d) = 0.
-1, 0, 1, 6
Let i(f) be the third derivative of -2*f**7/105 + 7*f**6/15 - 43*f**5/15 + 5*f**4 - 295*f**2. Factor i(d).
-4*d*(d - 10)*(d - 3)*(d - 1)
Let -2/3*s**4 - 6*s**2 + 0 - 4*s**3 - 8/3*s = 0. What is s?
-4, -1, 0
Let b be 2 + (-40)/(-30)*30/(-25). Factor 0 - b*d**2 + 0*d.
-2*d**2/5
Let t(j) be the third derivative of j**8/5040 + j**7/1260 - j**6/90 + 3*j**5/10 + 12*j**2. Let o(z) be the third derivative of t(z). Factor o(p).
4*(p - 1)*(p + 2)
Suppose 3*z - 2*a = -a - 34, 0 = z + 5*a + 38. Let g = z - -15. Find n, given that g*n**3 + 2*n - 4*n + 0*n + 4*n - 4*n**2 = 0.
0, 1
Let k be 95/25 + 1/5. Let m be ((-9)/9)/((-1)/4). Factor 4*u**5 - 2*u**3 - 19*u**4 - k*u**5 + 2*u**2 + 17*u**m + 2*u**5.
2*u**2*(u - 1)**2*(u + 1)
Let p(a) = -13*a**4 - 31*a**3 - 45*a**2. Let i(u) = 3*u**4 + 8*u**3 + 11*u**2. Let r(x) = -9*i(x) - 2*p(x). Factor r(c).
-c**2*(c + 1)*(c + 9)
Let l(v) be the third derivative of -v**7/35 + 5*v**6/12 - 9*v**5/10 - 3*v**4/4 + 14*v**3/3 + 51*v**2. Let l(r) = 0. Calculate r.
-2/3, 1, 7
Let q = 216 - 216. Let m(g) be the second derivative of q + 5/2*g**2 + 5/6*g**4 - 4*g - 5/2*g**3. Suppose m(o) = 0. Calculate o.
1/2, 1
Let p(f) = 4*f**4 - 8*f**3 - 58*f**2 + 42*f + 98. Let y(s) = -s**2 + s - 3. Let k(l) = -p(l) + 10*y(l). Suppose k(x) = 0. Calculate x.
-2, 2, 4
Suppose 146 = -j + 148. Suppose 6 = 3*m - 5*v + j*v, 2*m = -v + 7. Factor -2/5*k**4 + 2/5*k**2 + 0 + 4/5*k - 4/5*k**m.
-2*k*(k - 1)*(k + 1)*(k + 2)/5
Let z = 14 + -35. Let n be (-3 + z/(-6))*0. Factor -16*y + 62*y**2 + n*y**2 + 1258*y**3 - 1188*y**3 - 8.
2*(y + 1)*(5*y - 2)*(7*y + 2)
Let z be 80/12*18/15. Suppose 3*i - 19 = z. Factor 3 + i*a - 12*a**3 + 3*a + 0*a - 3*a**2.
-3*(a - 1)*(a + 1)*(4*a + 1)
Let h(a) be the third derivative of -a**8/16800 - a**7/6300 + a**4/24 + 10*a**2. Let s(w) be the second derivative of h(w). Solve s(v) = 0.
-1, 0
Let d(k) be the first derivative of -5*k**3/12 + 55*k**2/8 - 30*k - 174. Factor d(l).
-5*(l - 8)*(l - 3)/4
Let r(z) = -6 - 12*z**2 - 12*z - 8*z**2 + 18*z**2. Let o(p) = -p - 1. Let n(k) = -12*o(k) + 2*r(k). Suppose n(t) = 0. What is t?
-3, 0
Let a(r) = -14*r - 6. Let o be a(-16). Let k = o + -1523/7. Suppose 6/7 + k*u - 3/7*u**2 = 0. Calculate u.
-1, 2
Let n(u) be the first derivative of u**6/3 + 28*u**5 + 611*u**4 - 424*u**3/3 - 3815*u**2 - 4900*u - 214. Suppose n(f) = 0. What is f?
-35, -1, 2
Let x(g) = 2*g**2 - 20*g + 16. Let t(w) = 2*w**2. Let f(a) = t(a) + x(a). Factor f(k).
4*(k - 4)*(k - 1)
Suppose -s + 0 = 32. Let z be s/(-12) - (0 - -2). Solve 2/3*q**3 - 2/3*q + z*q**2 - 2/3 = 0.
-1, 1
Suppose 3*h - 6*h + 2*p = 1, 4*h + 4*p = 32. Suppose 2/7*g**4 + 0 + 0*g - 4/7*g**h - 6/7*g**2 = 0. What is g?
-1, 0, 3
Find g such that -24/11*g + 2/11*g**5 + 32/11*g**2 + 0 - 2/11*g**3 - 8/11*g**4 = 0.
-2, 0, 1, 2, 3
Let y(o) be the second derivative of -o**7/63 + o**6/45 + o**5/30 - o**4/18 + 17*o + 3. Factor y(g).
-2*g**2*(g - 1)**2*(g + 1)/3
Let n = -2984599/105 - -28425. Let v = -1/21 + n. Suppose -v + 1/5*p - 1/5*p**3 + 1/5*p**2 = 0. Calculate p.
-1, 1
Let i(u) be the second derivative of 12*u + 3/20*u**5 + 21/4*u**4 + 1029/2*u**2 + 147/2*u**3 + 0. Factor i(v).
3*(v + 7)**3
Let p(k) be the second derivative of 1/24*k**4 - 1/12*k**3 + 2*k + 0 - 1/120*k**5 - 5/2*k**2. Let n(q) be the first derivative of p(q). Let n(c) = 0. What is c?
1
Factor 6/19 - 26/19*f - 2/19*f**5 - 36/19*f**3 + 44/19*f**2 + 14/19*f**4.
-2*(f - 3)*(f - 1)**4/19
Suppose 0 = 3*t + 4*l - 0*l - 16, 4*t + 5*l - 21 = 0. Factor 16*r**3 - 15*r - 8*r**2 - 14*r - 14*r + 12 - 4*r**t + 27*r.
-4*(r - 3)*(r - 1)**2*(r + 1)
Factor -2/13*z**2 + 88/13*z - 968/13.
-2*(z - 22)**2/13
Let y = -54 + 56. What is f in -f - f**4 - 6*f**3 + f + 9*f**3 + 4*f**y = 0?
-1, 0, 4
Let z be (-2)/((8/7)/(30/35)*-3). Factor 0*q**2 - z*q + 1/2*q**3 + 0.
q*(q - 1)*(q + 1)/2
Let f be (-9299)/(-13294)*(-4)/(-26). Let p = 3/299 + f. Find t such that 2/17*t**2 - 4/17 - p*t = 0.
-1, 2
Suppose -12 = -3*f, -24 = 22*i - 26*i - 4*f. Find b such that -6 - 21/2*b**i + 24*b = 0.
2/7, 2
Let g(l) be the second derivative of 3*l**5/20 - 7*l**4/12 + 2*l**2 - 78*l. Factor g(u).
(u - 2)*(u - 1)*(3*u + 2)
Let n(f) be the first derivative of -4*f + f**3 + 0*f**2 - 1/4*f**4 + 3. Let n(b) = 0. Calculate b.
-1, 2
Factor -24*i + 61*i - 5*i**3 - 38*i - 20 - 25*i**2 - 39*i.
-5*(i + 1)*(i + 2)**2
Let w = -145/2 - -74. Let c be 20/56 + (-2)/(-14) + 0. Suppose w*j**3 - 1/2*j**2 + 0*j + c*j**5 + 0 - 3/2*j**4 = 0. What is j?
0, 1
Suppose -2*f + 10 = 3*f. Let u = 27 - 12. Factor -9*l**f + 1 + 2 - 3 - 3 - u*l**3 + 12*l**4 + 15*l.
3*(l - 1)**2*(l + 1)*(4*l - 1)
Suppose 3*k = 7*k - 8. Suppose -3*q - 3*q**4 - k*q**3 - 8*q**2 - q**2 - 7*q**3 = 0. What is q?
-1, 0
Let u(x) be the second derivative of x**6/10 + 63*x**5/20 - 3*x**4/4 - 65*x**3/2 - 63*x**2 + 3*x + 8. Factor u(j).
3*(j - 2)*(j + 1)**2*(j + 21)
Let q(f) be the second derivative of -f**4/60 + 11*f**3/30 + 6*f**2/5 - 2*f - 11. Factor q(n).
-(n - 12)*(n + 1)/5
Let j = 73/4 - 23/2. What is p in -27/4*p + 9/4*p**2 + j - 1/4*p**3 = 0?
3
Suppose -4*r - 48 = -3*z + 6*z, 3*r + 43 = -4*z. Let m be r/21*(4 + 56/(-12)). Factor m*d**2 + 6/7*d - 8/7.
2*(d - 1)*(d + 4)/7
Let a(t) = 6*t + 32. Let f be a(-5). Factor 2*v**2 - 11*v - 6*v**f + 2 - 2*v**2.
-(v + 2)*(6*v - 1)
Let b(n) be the second derivative of -49*n**6/120 - 63*n**5/40 - 5*n**4/4 - n**3/3 + 6*n + 2. Factor b(t).
-t*(t + 2)*(7*t + 2)**2/4
Suppose 0*a - 5*a = -30. Let x = 5 + -3. Factor 0*t + 6*t**3 + 0*t**2 - a*t + 3*t**x + 0*t - 3*t**4.
-3*t*(t - 2)*(t - 1)*(t + 1)
Let v(o) be the third derivative of 7/180*o**5 - 2/9*o**3 + 0*o + 0 - 1/210*o**7 + 1/360*o**6 + 0*o**4 - 1/1008*o**8 - 6*o**2. Find p, given that v(p) = 0.
-2, -1, 1
Let y = 3832 - 3829. Factor 0*l**2 + 1/3*l**y - 1/3*l + 0.
l*(l - 1)*(l + 1)/3
Let h = -171 + 208. Suppose 43*s - h*s = 0. Suppose 1/2*n**3 + n**2 + 0 - n**4 - 1/2*n**5 + s*n = 0. What is n?
-2, -1, 0, 1
Let a = 11845/35526 - 1/11842. Find v, given that -1/2*v - 1/6 + a*v**3 - 1/3*v**2 + 1/6*v**5 + 1/2*v**4 = 0.
-1, 1
Let g = -18 - -16. Let j be 12/g*84/(-72). Determine n so that -4*n**4 + 3*n**2 + j*n**3 - n**3 + 0*n**2 + 7*n**4 = 0.
-1, 0
Let m(s) = -s**3 + 2*s**2 + 13*s - 16. Let j be m(4). Find l, given that 2 + 24*l - j*l**2 + 2*l**2 + 34 + 6*l**2 = 0.
-3
Let r = 11 - 12. Let a be r + (-3 - -1) + 5. Let -1 + 5/2*u**3 + 9/2*u - 6*u**a = 0. What is u?
2/5, 1
Suppose 4*o = 4*j - 16, 5*j = -2*o + 677 - 657. Solve 2/3*n**4 + 2/3 + 0*n**3 - 4/3*n**2 + o*n = 0.
-1, 1
Let v = 217 + -214. Let s(f) be the first derivative of -1 + 3*f + 3/8*f**4 - 3/4*f**2 - f**v. Factor s(i).
3*(i - 2)*(i - 1)*(i + 1)/2
Factor 0*n + 4/3*n**4 - 16/3*n**2 - 4*n**3 + 0.
4*n**2*(n - 4)*(n + 1)/3
Let a(m) = -15*m**2 + 32*m + 2*m**3 - m**3 - 4 + 27*m**2. Let c(k) = 2*k**3 + 24*k**2 + 65*k - 7. Let u(q) = -7*a(q) + 4*c(q). Let u(s) = 0. What is s?
-6, 0
Let u(q) be the first derivative of 0*q**3 - 16 + 1/17*q**2 - 1/34*q**4 + 0*q. Let u(m) = 0. Calculate m.
-1, 0, 1
Let n(r) be the second derivative of r**6/30 + 9*r**5/10 - 10*r**4/3 + 519*r. Factor n(h).
h**2*(h - 2)*(h + 20)
Factor 13*q - 10 - 6*q - 11*q**2 + 10*q + 8*q**2.
-(q - 5)*(3*q - 2)
Let f be (7 - 2)*1/1. Let c = -3531 + 3535. Suppose -2*d**2 + d + 2*d**3 + 1/5*d**f - d**c - 1/5 = 0. What is d?
1
Let y(o) be the second derivative of -1/5*o**5 - 3*o**4 - 28*o + 0*o**2 + 0*o**3 + 0. Determine m, given that y(m) = 0.
-9, 0
Let t(m) be the first derivative of -3/5*m**5 - 14/3*m**3 - 10 + 8/3*m**4 - 9*m + 4*m**2. Let x(n) be the first derivative of t(n). Factor x(o).
-4*(o - 1)**2*(3*o - 2)
Let h(x) be the second derivative of 1/2*x**4 - 3/20*x**5 - 10*x + 0*x**2 + 0 - 1/2*x**3. Determine j, given that h(j) = 0.
0, 1
Let o(n) be the third derivative of 0 + 0*n + 1/4*n**3 + 1/420*n**7 + 5/24*n**4 + 1/40*n**6 + 1/10*n**5 - 23*n**2. Determine h, given that o(h) = 0.
-3, -1
Let n(g) = -g**3 - 10*g**2 + 10*g - 7. Let j be n(-11). Let k be (5/j)/((-9)/(-12)) - -2. Factor 2/3*m + 4/3*m**4 + 0 + 5/3*m**2 - k*m**3.
m*(m - 2)*(m - 1)*(4*m + 1)/3
Let d(r) be the second derivative of 5*r**4/24 - 286*r. Factor d(o).
5*o**2/2
Let b(j)