ive of k**5/60 - 5*k**4/36 - 13*k**3/18 - 7*k**2/6 + 11*k. Factor y(g).
(g - 7)*(g + 1)**2/3
Let w(t) = t**5 - 4*t**4 - t**3 - 2*t**2. Let k(d) = -4*d**5 + 13*d**4 + 3*d**3 + 7*d**2. Let s(y) = 4*k(y) + 14*w(y). Factor s(i).
-2*i**3*(i + 1)**2
Let q(w) = w + 3. Let b be q(-4). Let j(f) = -4*f**3 - f**2. Let y be j(b). Suppose -4/11*n**y + 0*n + 2/11*n**4 + 0 + 2/11*n**2 = 0. What is n?
0, 1
Let k(y) = -y**2 + 7*y - 6. Let f be k(4). Factor f*n + 6 - 2*n + 2*n - 3 + 3*n**2.
3*(n + 1)**2
Let d(z) = -z**3 + z**2 + z - 1. Let u = -4 - -5. Let j(q) = q**5 - 4*q**4 + 8*q**3 - 2*q**2 - 9*q + 6. Let k(y) = u*j(y) + 4*d(y). Factor k(c).
(c - 2)*(c - 1)**3*(c + 1)
Let h(k) be the first derivative of -k**4/18 - k**3/9 - 6*k - 2. Let a(m) be the first derivative of h(m). Factor a(y).
-2*y*(y + 1)/3
Let y(j) be the second derivative of -7*j**6/330 - 9*j**5/220 - j**4/66 + 9*j. Find i, given that y(i) = 0.
-1, -2/7, 0
Suppose 0 = m - 0*m + 2*b - 14, 2*b - 10 = 0. Factor -3 + 24*u**3 + 14*u**4 + 34*u**m - 45*u**2 + 0*u**2 - 24*u.
3*(u - 1)*(u + 1)*(4*u + 1)**2
Let j(q) be the first derivative of q**5/5 - q**4/2 - 11*q**3/3 + 6*q**2 + 36*q + 11. Suppose j(r) = 0. Calculate r.
-2, 3
Find u, given that -1/5*u**2 - 1/10*u**3 + 0 + 0*u = 0.
-2, 0
Let k be (-14)/(-4)*4/7. Factor -3*l**2 - 4 + 14*l + l**k - 8*l.
-2*(l - 2)*(l - 1)
Factor -8/3 + 20/3*a + 4*a**2.
4*(a + 2)*(3*a - 1)/3
Let m be 127/(-1 + (-32)/(-12)). Let l = m + -75. Factor 0*d + l*d**3 - 2*d**4 + 4/5*d**2 + 0.
-2*d**2*(d - 1)*(5*d + 2)/5
Let g be ((-1)/3)/((-1)/(-9)). Let u be 2 - 28/6 - g. Factor m**2 + 1/3 - m - u*m**3.
-(m - 1)**3/3
Let v = 1/44 - -2/33. Let x(b) be the first derivative of -1 - 1/9*b**3 + 1/3*b + 1/6*b**2 - v*b**4. Let x(g) = 0. What is g?
-1, 1
Suppose s = 4*y - 23, s = -1 - 2. Solve k**5 - 2*k**y + 18*k**4 - 17*k**4 = 0 for k.
0, 1
Let k(i) be the third derivative of -1/6*i**3 - 1/240*i**5 - i**2 + 0 + 0*i + 1/24*i**4. Factor k(c).
-(c - 2)**2/4
Let p(q) be the first derivative of 0*q**2 - 1 - 1/22*q**4 + 8/11*q - 2/11*q**3. Factor p(i).
-2*(i - 1)*(i + 2)**2/11
Let m = -1078 + 1080. Solve 0*t - 7/5*t**3 + 0 - 2/5*t**m + 2/5*t**4 + 7/5*t**5 = 0 for t.
-1, -2/7, 0, 1
Suppose -7 = -2*i - 3. Suppose -i*l = l - 12. Let -u**l + u - 2*u**3 + u**2 + 0*u**4 + u**3 = 0. What is u?
-1, 0, 1
Let i(h) be the second derivative of -3*h**5/20 + 7*h**4/4 - 15*h**3/2 + 27*h**2/2 - 22*h. Suppose i(r) = 0. Calculate r.
1, 3
Suppose -2*g + 3*o - 7*o = -16, 5*g - 14 = 3*o. Factor 4*j - 24*j**3 - 9*j + 22*j**2 + g*j - 2 + 5*j.
-2*(j - 1)*(3*j + 1)*(4*j - 1)
Let k = 8 - 5. Suppose -a**k + a**4 + 4*a - 3*a - a**2 + 0*a = 0. What is a?
-1, 0, 1
Let w(d) be the third derivative of 1/9*d**3 + 1/72*d**4 - 1/90*d**5 - 4*d**2 + 0 - 1/360*d**6 + 0*d. Suppose w(g) = 0. Calculate g.
-2, -1, 1
Factor 18*c + 16*c**2 + 27 - 10*c**2 - 3*c**2.
3*(c + 3)**2
Let q = -69 - -75. Factor -14/5*w**2 - q*w**3 - 18/5*w**4 - 2/5*w + 0.
-2*w*(w + 1)*(3*w + 1)**2/5
Let d be (8/(-84))/(0 - 1). Let m(l) be the first derivative of -1/14*l**4 + 1/7*l**2 + 2 + 2/35*l**5 - d*l**3 + 0*l. Factor m(c).
2*c*(c - 1)**2*(c + 1)/7
Let c(d) be the second derivative of -d**4/6 + 4*d**3/3 - 4*d**2 - 10*d. Solve c(h) = 0.
2
Let j(m) = -3*m**4 + 2*m**3 + 7*m**2 - 2*m. Let b(g) be the first derivative of -g**3/3 + 3. Let q(w) = 4*b(w) + j(w). Factor q(f).
-f*(f - 1)*(f + 1)*(3*f - 2)
Let n(a) be the second derivative of a**6/15 - a**5/10 - 5*a**4/6 - a**3 - 62*a. Determine v so that n(v) = 0.
-1, 0, 3
Let i(n) be the first derivative of -n**6/45 - 2*n**5/75 + n**4/30 + 2*n**3/45 + 11. Factor i(d).
-2*d**2*(d - 1)*(d + 1)**2/15
Suppose -m + 5 = 0, 2*g - 3*g + 14 = 2*m. Suppose -2*z - 4 = -g*z. Factor 0 + 1/3*b**z + 0*b.
b**2/3
Let m be (-4)/(5 - -3)*-10. Let k(a) be the second derivative of 1/15*a**m + 0*a**2 - 1/63*a**7 - 2*a + 0 + 0*a**4 + 0*a**6 - 1/9*a**3. Factor k(s).
-2*s*(s - 1)**2*(s + 1)**2/3
Find z such that 1/4*z**5 + 9/4*z**4 + 7/4*z**2 + 0 + 0*z + 15/4*z**3 = 0.
-7, -1, 0
Let f(l) = -2*l**2 - l**3 - 4*l + 2*l + 4*l**3 + 3*l**2. Let p(w) = -w**3 - w**2 + w. Let c(t) = -f(t) - 2*p(t). Factor c(j).
-j**2*(j - 1)
Let r(v) be the first derivative of 8*v**3/3 - 7*v**2 - 4*v + 35. Suppose r(z) = 0. Calculate z.
-1/4, 2
Let p(q) = q + 1. Let v be (-4 - -5)/(-1 + 2). Let k = v - 3. Let c(g) = -g**2 - g. Let x(l) = k*c(l) - 2*p(l). Let x(u) = 0. What is u?
-1, 1
Suppose -2/19*s + 2/19*s**3 + 0 - 2/19*s**2 + 2/19*s**4 = 0. Calculate s.
-1, 0, 1
Let k(c) = -c**2 + 14*c - 49. Let n(m) = 3*m**2 - 42*m + 147. Let r(d) = 7*k(d) + 2*n(d). Factor r(j).
-(j - 7)**2
Let c(b) be the second derivative of -b**6/10 - 3*b**5/20 + b**4/4 + b**3/2 + 5*b. Factor c(n).
-3*n*(n - 1)*(n + 1)**2
Let v(l) be the second derivative of -2*l + 0*l**2 + 0 - 1/10*l**5 + 1/2*l**4 - 2/3*l**3. Let v(i) = 0. What is i?
0, 1, 2
Let l = 8915/14 - 1273/2. Let 0 - 2/7*d**2 + 2/7*d**4 + 2/7*d - l*d**3 = 0. What is d?
-1, 0, 1
Factor -9/4*g**5 - 54*g**2 - 48*g**3 - 12*g - 69/4*g**4 + 12.
-3*(g + 2)**4*(3*g - 1)/4
Let x be 38/10 - (-40)/(-50). Determine v, given that 2/11*v + 0 + 0*v**2 - 2/11*v**x = 0.
-1, 0, 1
Let -2*t**2 - 3*t**4 + 0*t**2 + 5*t**2 = 0. Calculate t.
-1, 0, 1
Let c = 121 - 121. Factor 7/2*h**2 + c + h.
h*(7*h + 2)/2
Let m(p) = 5*p**2 + 9*p + 4. Let v(q) = -6 + 4 - 9*q - 1 - 6*q**2. Let g(c) = 3*m(c) + 2*v(c). Factor g(j).
3*(j + 1)*(j + 2)
Let r(p) be the third derivative of 1/900*p**6 + 1/150*p**5 + 0 + 1/90*p**4 + 0*p**3 + 0*p - 3*p**2. Factor r(s).
2*s*(s + 1)*(s + 2)/15
Let i be (3/(-1) - -2)*-3. Factor -2*n**i - 3*n**4 - 4*n + 3*n**2 + 5*n**3 + n.
-3*n*(n - 1)**2*(n + 1)
Let q(s) be the first derivative of -s**4/12 + s**3/3 - s**2/2 + s/3 + 4. Solve q(u) = 0.
1
Let p = -42 - -45. Let c(i) be the third derivative of -2/3*i**p + 0*i + 0 + 1/4*i**4 - 3*i**2 - 1/30*i**5. Suppose c(o) = 0. What is o?
1, 2
Let x(p) = -p. Let n(o) = 4*o**2 - 2*o. Let l(c) = -n(c) - 2*x(c). Factor l(u).
-4*u*(u - 1)
Let h be (327/(-120) - -3) + (-2)/8. Let q(i) be the second derivative of h*i**5 + 0 + 0*i**2 + 1/12*i**3 - i - 1/12*i**4. What is f in q(f) = 0?
0, 1
Let -9/2 - 6*u**3 + 6*u + 3*u**2 + 3/2*u**4 = 0. What is u?
-1, 1, 3
Let l(g) = 2*g**5 - g**4 - 2*g**3 - 2*g**2 - 3*g. Let y(m) = -6*m**5 + 2*m**4 + 6*m**3 + 6*m**2 + 8*m. Let k(q) = -8*l(q) - 3*y(q). Factor k(p).
2*p**2*(p - 1)*(p + 1)**2
Let u(t) be the third derivative of -t**7/108 + 2*t**6/135 - t**5/135 + t**3/2 + t**2. Let h(m) be the first derivative of u(m). Solve h(b) = 0 for b.
0, 2/7, 2/5
Let c(t) be the second derivative of 0*t**2 - 3*t - 1/3*t**3 + 0*t**6 + 1/5*t**5 - 1/21*t**7 + 0 + 0*t**4. Suppose c(s) = 0. Calculate s.
-1, 0, 1
Let v = -98 - -298/3. Let u(c) = -c**3 + 12*c**2 - 22*c + 22. Let x be u(10). Find l such that 0*l**3 - 2/3*l**5 + 2/3*l + 4/3*l**4 - v*l**x + 0 = 0.
-1, 0, 1
Let w(q) be the first derivative of -q**5/10 + q**4/8 + 5*q**3/6 + 3*q**2/4 + 6. Factor w(p).
-p*(p - 3)*(p + 1)**2/2
Let j(h) be the first derivative of -5*h**8/504 + 8*h**7/315 + h**6/45 + h**2 - 1. Let n(r) be the second derivative of j(r). Factor n(a).
-2*a**3*(a - 2)*(5*a + 2)/3
Let x = 11/30 - -3/10. Let 2/3*t**3 - 2/3*t**2 - x*t + 2/3 = 0. Calculate t.
-1, 1
Let s be (-9)/6*12/(-63). Let f = -16 - -16. Determine g so that f*g**2 + 0 + s*g**4 + 0*g - 2/7*g**3 = 0.
0, 1
Let f = -18 + -5. Let m be f/(-63) + (-6)/42. Let 0 + 32/9*t**5 + 0*t - 16/3*t**4 + 2*t**3 - m*t**2 = 0. What is t?
0, 1/4, 1
Let n be (-1)/(-4) - 30/(-8). Suppose 1 = -n*o + 17. Determine h, given that 0*h**2 + 1/3*h**5 - 1/3*h**3 + 0 + 0*h**o + 0*h = 0.
-1, 0, 1
Let h(k) be the first derivative of k**4/3 + k**3/3 - k**2/6 - 55. Factor h(i).
i*(i + 1)*(4*i - 1)/3
Let a(u) be the third derivative of -u**5/180 - u**4/9 - 8*u**3/9 + u**2. Factor a(o).
-(o + 4)**2/3
Let h = 24 - 23. Let u(m) = m**2 - 3*m - 6. Let f be u(5). Let q(i) = 5*i**2 - i. Let g(v) = -v**2. Let y(p) = f*g(p) + h*q(p). Determine l so that y(l) = 0.
0, 1
Suppose 0 = 23*t - 27*t. Let g(w) be the first derivative of 6/5*w**5 + 0*w + 1 - 3/4*w**4 - 1/2*w**6 + t*w**3 + 0*w**2. Factor g(x).
-3*x**3*(x - 1)**2
Let i(n) be the first derivative of -n**5/40 + n**4/8 - n**3/6 + 6. Factor i(w).
-w**2*(w - 2)**2/8
Suppose 15 = -d - 2*d. Let r = -3 - d. Find u such that 2/3 - u + 1/3*u**r = 0.
1, 2