. Let t(y) = 6*k(y) + w(y). Let t(i) = 0. What is i?
-3, -1
Let b = -7 + 5. Let l be 1/(-3) + 60/(-9). Let i(j) = -3*j**4 - 3*j**3 - 7*j. Let y(c) = c**4 + c**3 + 2*c. Let h(z) = b*i(z) + l*y(z). Factor h(v).
-v**3*(v + 1)
Let n(z) be the second derivative of z**4/18 - 2*z**3/9 + z**2/3 + 2*z. Let n(m) = 0. What is m?
1
Let w = -3 - -3. Suppose 0 = -w*r + 3*r + 3*t, r - 5*t - 12 = 0. Find v such that -8*v**3 + 14*v + r*v**2 - 8*v**2 + 4 - 4*v**2 = 0.
-2, -1/4, 1
Let n be (-166)/(-7) - 6/(-21). Let r be 2/(4/6) + -1. Factor 12*h**3 + n*h + 8 + 0*h**4 + 0*h**2 + 2*h**4 + 26*h**r.
2*(h + 1)**2*(h + 2)**2
Let z be (7 - 7) + 6/9. Let -z*p**2 + 0*p + 0 = 0. Calculate p.
0
Let o(t) be the third derivative of 1/27*t**3 - 1/1512*t**8 - t**2 - 1/135*t**5 - 1/108*t**4 + 1/945*t**7 + 0 + 1/270*t**6 + 0*t. Factor o(i).
-2*(i - 1)**3*(i + 1)**2/9
Let q = 1 - 2. Let s = 2 - q. Suppose -2*o + 0 - 2*o**2 - o**s + 3*o**3 + 2 = 0. Calculate o.
-1, 1
Suppose 0 = 7*m - 67 - 3. Suppose 7*l = m*l - 12. Factor 4/3*j**3 - 2/3*j**l - 2/3 + 4/3*j**2 - 2/3*j - 2/3*j**5.
-2*(j - 1)**2*(j + 1)**3/3
Let s(a) be the first derivative of -5*a**4/4 - 5*a**3 - 5*a**2 + 10. Factor s(l).
-5*l*(l + 1)*(l + 2)
Factor 2*w**2 - 5/2*w**4 + 3*w**3 - 4*w + 0 + 1/2*w**5.
w*(w - 2)**3*(w + 1)/2
Let t be 1/((-3)/(-1662))*-1. Let l = 1682/3 + t. Factor 2/3*f + 0 + 3*f**4 + 13/3*f**2 + l*f**3.
f*(f + 1)**2*(9*f + 2)/3
Factor 18/5*m - 4/5 + 28/5*m**3 - 32/5*m**2 - 12/5*m**4 + 2/5*m**5.
2*(m - 2)*(m - 1)**4/5
Let k be (-1 - (0 - 0)) + -18 + 21. Suppose 0 - 2/9*v**k + 4/9*v**3 - 2/9*v**4 + 0*v = 0. Calculate v.
0, 1
Suppose -7*b + 23*b = 0. Let c(i) be the third derivative of 0*i + 1/180*i**5 + i**2 + b + 0*i**3 - 1/36*i**4. Let c(f) = 0. Calculate f.
0, 2
Let z be (-40)/(-18) + (-10)/45. Factor 132*k**4 - 4 - 12 + 750*k**4 - 152*k - 196*k**4 - 420*k**z - 98*k**3.
2*(k - 1)*(7*k + 2)**3
Factor 3*o + 3*o**2 + 2*o**2 - 2*o**2.
3*o*(o + 1)
Let p(d) be the third derivative of d**6/1260 - d**5/630 - d**4/252 + d**3/63 + 30*d**2. Solve p(c) = 0.
-1, 1
Let p(r) = r**3 - 7*r**2 - 9*r + 9. Let i be p(7). Let h = i - -272/5. Solve 0*d**2 + 0 - h*d**3 + 0*d = 0 for d.
0
Let h(n) = -4*n**2 + 4. Let u(q) = -2*q**2 + 2. Suppose 0*f - 5*f = 55. Let j(r) = f*u(r) + 6*h(r). Factor j(z).
-2*(z - 1)*(z + 1)
Let c(k) = 10*k - 4. Let x = 17 - 11. Let f be c(x). Factor -3 - f*a - 98*a**2 - 6 + 1.
-2*(7*a + 2)**2
Let d(z) be the first derivative of 0*z**2 + 1 + 1/75*z**5 - 1/3*z**3 + 1/15*z**4 + 1/900*z**6 + 0*z. Let v(t) be the third derivative of d(t). Factor v(g).
2*(g + 2)**2/5
Let f be 684/270 + 8/(-6). Factor f + 3/5*g**3 - 3/5*g - 6/5*g**2.
3*(g - 2)*(g - 1)*(g + 1)/5
Let t(p) = p + 10. Let m be t(-8). Suppose -2*q - m*o = 8, -2*o - 8 = -6*q + q. Let q + 4/5*r**2 - 2/5*r - 2/5*r**3 = 0. Calculate r.
0, 1
Factor 6/5*i - 4/5 - 2/5*i**2.
-2*(i - 2)*(i - 1)/5
Let m(j) be the first derivative of -j**6/6 + 3*j**5/5 - 3*j**4/4 + j**3/3 + 1. Factor m(x).
-x**2*(x - 1)**3
Let a(s) = -6*s**5 - 7*s**4 + 11*s**3 + 12*s**2. Let v(l) = -3*l**5 - 4*l**4 + 5*l**3 + 6*l**2. Let g(x) = -2*a(x) + 5*v(x). Determine f, given that g(f) = 0.
-2, -1, 0, 1
Let y(g) = g**5 + g**3 + g - 1. Let r(s) = 20*s**5 - 4*s**4 - 8*s**3 + 4*s**2 + 6*s - 6. Let j(c) = -2*r(c) + 12*y(c). Determine l, given that j(l) = 0.
-1, 0, 2/7, 1
Let b be (6/15)/((-3)/(-15)). Factor -10*x**2 + 6*x + 3*x**2 + b - x.
-(x - 1)*(7*x + 2)
Let s be 2/(-9) - 20/(-9). Factor s*a**2 + a**2 - 4 - 2*a - a**2.
2*(a - 2)*(a + 1)
Let q(f) be the third derivative of f**7/735 + f**6/210 + f**5/210 - 3*f**2. Factor q(v).
2*v**2*(v + 1)**2/7
Let r(d) = 2*d + 17. Let p be r(-7). Find u such that -4*u**3 + 2*u**p + 4*u - 4*u**4 - 10*u**3 - 4*u**4 = 0.
-1, 0, 1/2
Let j(d) be the first derivative of d**8/2520 + d**7/630 - d**5/90 - d**4/36 - 4*d**3/3 + 2. Let u(f) be the third derivative of j(f). Solve u(l) = 0 for l.
-1, 1
Let t(r) be the first derivative of 2*r**5/35 - 2*r**4/7 + 2*r**3/7 - 18. Solve t(f) = 0.
0, 1, 3
Let l = 183 - 183. Suppose 3/7*x**4 + l*x**2 - 3/7 + 6/7*x**3 - 6/7*x = 0. What is x?
-1, 1
Let p(d) = -d**4 - d**3 - d**2. Let t(a) = -a**5 - 5*a**4 - 3*a**3 - 3*a**2. Let c(h) = 4*p(h) - t(h). What is s in c(s) = 0?
-1, 0, 1
Let r(y) be the third derivative of y**7/1680 + y**6/144 + y**5/30 + y**4/12 - y**3/2 + 7*y**2. Let x(o) be the first derivative of r(o). Factor x(v).
(v + 1)*(v + 2)**2/2
Let s = -7 - -13. Solve -6*a**4 - 3*a**5 + 12*a**2 + 0*a + 0*a**5 - 6 - a + s*a**3 - 2*a = 0.
-2, -1, 1
Let z(c) = -4*c + 20. Let v be z(0). Suppose 2*q = -12 + v. Factor 8/3 - 1/3*w**3 + 2*w**2 - q*w.
-(w - 2)**3/3
Let t = 183/172 + 8/43. Let v be (-1 - -1) + (-18)/(-8). Factor v*j**4 - t*j**2 + 3*j**3 - 3*j - 1.
(j - 1)*(j + 1)*(3*j + 2)**2/4
Let q(v) = 8*v**2 - 18*v + 4. Let o(z) = z**2. Let f(w) = -6*o(w) - q(w). Factor f(h).
-2*(h - 1)*(7*h - 2)
Let 1/2*u**2 + 1/6*u**4 - 1/6*u + 0 - 1/2*u**3 = 0. What is u?
0, 1
Factor 5/4*v**3 + 625/4 + 75/4*v**2 + 375/4*v.
5*(v + 5)**3/4
Let j(q) be the first derivative of -5*q**3/3 + 10*q**2 - 15*q + 37. Factor j(b).
-5*(b - 3)*(b - 1)
Suppose -t = -2*p + 3, -3*p - 3*t = 16 + 2. Let l be 2*(0 - p/10). What is z in -6/5*z**2 - 1/5*z**4 - l + 4/5*z**3 + 4/5*z = 0?
1
Suppose 2*b - 6*b = -n + 17, 0 = -2*n + 2. Let s be 1/b*88/(-33). Factor 4/3*p - s*p**2 - 2/3.
-2*(p - 1)**2/3
Factor 0*v + 20*v**2 - 11*v**2 - 11*v**2 + 4*v.
-2*v*(v - 2)
Let u be (-2)/1 + 2 + 0. Let g be ((-35)/45 - u) + 1. Determine h, given that 0*h + g*h**2 - 2/9 = 0.
-1, 1
Let r be ((18/(-8))/3)/(-4 - -1). Factor -1/4*l**4 + 1/2*l + 0*l**2 - 1/2*l**3 + r.
-(l - 1)*(l + 1)**3/4
Let q(n) be the second derivative of -25*n**7/126 + 13*n**6/36 - 7*n**5/30 + n**4/18 - 2*n. Factor q(r).
-r**2*(2*r - 1)*(5*r - 2)**2/6
Let v(i) be the second derivative of -i**5/80 + i**4/12 - 5*i**3/24 + i**2/4 - 10*i. Let v(o) = 0. Calculate o.
1, 2
Let l = -189/5 + 38. Factor 0*f**2 + l*f**3 + 4/5*f**4 + 0*f + 0.
f**3*(4*f + 1)/5
Suppose 2 + 43 = 5*r - 2*b, 4*b = -4*r + 64. Let t = -7 + r. Let 0*x**2 + t*x - x**2 - x**2 = 0. Calculate x.
0, 2
Let w be (-2)/((-4)/(1 - -1)). Factor d - 2*d - 2*d**2 + 3 - w + d**2.
-(d - 1)*(d + 2)
Let c(w) = w**5 - w**4 + w**3 + w**2. Let u(l) = 4*l**4 - 4*l**2 - 2*l. Let p(t) = 2*c(t) + 2*u(t). Factor p(o).
2*o*(o - 1)*(o + 1)**2*(o + 2)
Let g(r) be the first derivative of 5*r**3 - 5*r**2/2 - 10*r - 9. Find y, given that g(y) = 0.
-2/3, 1
Let f(h) be the first derivative of h**6/33 + 4*h**5/55 - 4*h**3/33 - h**2/11 + 11. Factor f(l).
2*l*(l - 1)*(l + 1)**3/11
Let o(v) be the second derivative of -v**8/840 + v**7/420 + v**6/60 - v**5/60 - v**4/6 - 2*v**3/3 - 4*v. Let t(p) be the second derivative of o(p). Factor t(j).
-2*(j - 2)*(j - 1)*(j + 1)**2
Factor -18/5*h + 27/5 + 3/5*h**2.
3*(h - 3)**2/5
Let r(j) be the second derivative of 0 - 1/540*j**6 + 2/3*j**3 - 3*j + 0*j**5 + 0*j**4 + 0*j**2. Let q(d) be the second derivative of r(d). Factor q(c).
-2*c**2/3
Factor -12/5*a + 18/5 + 2/5*a**2.
2*(a - 3)**2/5
Suppose -3*l = -j - 5, 3*l + 2*j - 6*j - 20 = 0. Let t(y) be the first derivative of 1 + 4/5*y**5 - 4/3*y**3 - 1/3*y**6 + 0*y + y**2 + l*y**4. Factor t(d).
-2*d*(d - 1)**3*(d + 1)
Suppose -g = -8 - 7. Let m be (-5 - 2)*(-5 - -4). Let -98*x**4 + 33*x**2 + g*x**2 - 42*x**3 - m*x - x = 0. Calculate x.
-1, 0, 2/7
Suppose -10 = 3*a - f - 5, -20 = 5*a - 4*f. Let y(d) be the first derivative of 1/6*d**2 + a*d + 1/9*d**3 - 2. Determine t so that y(t) = 0.
-1, 0
Let k(w) be the second derivative of -1/75*w**6 + w + 0*w**4 + 0*w**3 + 0*w**2 - 1/100*w**5 - 1/210*w**7 + 0. Factor k(r).
-r**3*(r + 1)**2/5
Let p = 69 - 344/5. Suppose 1/5*z + p - 2/5*z**2 = 0. What is z?
-1/2, 1
Factor 4/9 + 2/9*j**2 + 2/3*j.
2*(j + 1)*(j + 2)/9
Let a(q) be the first derivative of 6*q**5/35 + 9*q**4/14 + 2*q**3/7 - 9*q**2/7 - 12*q/7 + 25. Factor a(s).
6*(s - 1)*(s + 1)**2*(s + 2)/7
Let w(x) be the second derivative of 0*x**2 + 0 + 1/96*x**4 + 1/3*x**3 - 1/240*x**5 + 3*x + 1/1440*x**6. Let g(z) be the second derivative of w(z). Factor g(u).
(u - 1)**2/4
Let n = -10 - -13. Factor -33*i**4 - i**n + 0*i**3 - 4*i**3 + 11*i**3 + 45*i**5.
3*i**3*(3*i - 1)*(5*i - 2)
Let m(s) = -9*s**2 - 29*s - 31. Let y(c) = c**2 + c - 1. Let i(k) = m(k) + 5*y(k). Let i(t) = 0. What is t?
-3
Let d = 220/7 - 31. Fa