 of n(z). Factor u(v).
2*v*(v - 1)*(v + 1)**2/11
Let y(q) = -q**3 - 14*q**2 - 32*q - 22. Let x(k) = -2*k**3 - 27*k**2 - 65*k - 45. Let o(a) = 3*x(a) - 5*y(a). Suppose o(j) = 0. Calculate j.
-5, -1
Let n(u) be the first derivative of 8*u**6 - 64*u**5/5 - 5*u**4 + 20*u**3 - 14*u**2 + 4*u + 4. Determine o so that n(o) = 0.
-1, 1/3, 1/2, 1
Let w(d) be the second derivative of d**8/16800 + d**7/6300 - d**4/2 + d. Let o(n) be the third derivative of w(n). Factor o(q).
2*q**2*(q + 1)/5
Let n(p) be the second derivative of -3*p**5/50 + 3*p**4/20 - 3*p**2/10 - p. Factor n(x).
-3*(x - 1)**2*(2*x + 1)/5
Let a = 23 + -20. Let 2 - 7*q**3 - 3 - 1 + 6*q**2 + a*q**3 = 0. What is q?
-1/2, 1
Let f = -5 + 5. Let a(x) = -x**2 + x + 2. Let n be a(f). Find k such that 6*k - 2 - k**2 + 5*k**n - 6*k**3 - 3*k**2 + 4*k**4 - 3*k**2 = 0.
-1, 1/2, 1
Suppose 0*j**5 - 1813*j + 8*j**4 + 1813*j - 2*j**5 = 0. Calculate j.
0, 4
Let z(o) be the second derivative of 0 - 1/135*o**6 + o - 1/18*o**4 + 0*o**2 + 0*o**3 - 2/45*o**5. Determine l, given that z(l) = 0.
-3, -1, 0
Let i(u) be the second derivative of -5*u**4/12 - 5*u**3/3 + 20*u**2 - 14*u. What is p in i(p) = 0?
-4, 2
Factor -4*a**3 + 3*a**2 - 6*a - 2*a + 9*a**2 + 0*a**2.
-4*a*(a - 2)*(a - 1)
Solve 4*d - d**2 + 3*d + 2 - 6*d = 0.
-1, 2
Factor -2*u**2 - 5*u**2 - 3*u**3 - 2*u**2 - 6*u.
-3*u*(u + 1)*(u + 2)
Let v(r) = -6*r**5 + 2*r**4 + 8*r**3 - 2*r**2 - 6*r. Let k(m) = -m**5 + m**4 - m**2 - m. Let s(u) = -2*k(u) + v(u). Determine q, given that s(q) = 0.
-1, 0, 1
Let u(p) = p**2 - 7*p + 12. Let d be u(5). Determine k so that -5*k**2 + k**2 - k**2 + 2*k**d = 0.
0
Let z(s) = 2 - 3 - 4*s + 3*s. Let d(k) = -3*k**2 + 8*k + 5. Let r(a) = -d(a) - 5*z(a). What is j in r(j) = 0?
0, 1
Let a(c) be the third derivative of -c**6/40 + c**5/10 + 4*c**2. Factor a(g).
-3*g**2*(g - 2)
Solve -4/7*v**2 + 4/7*v + 8/7 = 0 for v.
-1, 2
Suppose -x - 46 = -3*x. Suppose -27*u + x*u = 0. Factor 2/7*o**5 + u*o + 0 + 0*o**2 - 2/7*o**3 + 0*o**4.
2*o**3*(o - 1)*(o + 1)/7
Let w(m) = 2*m**2 + 2. Let i be w(-2). Determine g, given that 2*g**3 + 3*g**4 - 10*g - 4*g**4 + i*g - g**2 = 0.
0, 1
Let d(a) be the third derivative of -a**5/240 + 3*a**4/32 - a**3/3 - 14*a**2. Find r, given that d(r) = 0.
1, 8
Let q(f) be the second derivative of -1/45*f**5 + 0*f**6 + 0*f**2 + 3*f + 0 + 0*f**4 + 1/189*f**7 + 1/27*f**3. Factor q(r).
2*r*(r - 1)**2*(r + 1)**2/9
Let y(d) = 9*d**3 - 13*d**2 + 9*d - 5. Let x = -29 + 21. Let i(l) = -20*l**2 + 9*l + 1 - 9 + 14*l**3 + 5*l. Let j(g) = x*y(g) + 5*i(g). Factor j(t).
-2*t*(t - 1)**2
Let s(n) be the third derivative of -n**5/40 - n**4/4 + 5*n**3/4 - 7*n**2. Solve s(q) = 0.
-5, 1
Suppose s - u = -1, 2*u + 1 = -2*s + 3*u. Factor 0*n**2 + 2/5*n - 2/5*n**3 + s.
-2*n*(n - 1)*(n + 1)/5
Let x = 7 - 7. Let r = x + 2. Let -n**r - n**3 - n**4 + 3*n**3 - 4*n**3 = 0. Calculate n.
-1, 0
Let i be ((-50)/40)/((-5)/2). Suppose 1/6*n**3 - 1/6*n + 1/3 + 1/6*n**4 - i*n**2 = 0. What is n?
-2, -1, 1
Let t(j) be the third derivative of 0*j**4 + 0*j + 1/240*j**6 + 1/120*j**5 - 1/420*j**7 + 0 + 0*j**3 - 1/672*j**8 - 2*j**2. Determine i so that t(i) = 0.
-1, 0, 1
Let y(q) be the first derivative of q**6/180 + q**5/15 + q**4/4 + 5*q**2/2 - 7. Let d(j) be the second derivative of y(j). Suppose d(f) = 0. What is f?
-3, 0
Suppose 5*w = 2*t + 21, 0 = -w - 3*w - t + 9. Let o(x) be the second derivative of 0*x**w + 0*x**4 - 1/30*x**5 + 0 - 1/45*x**6 + x + 0*x**2. Factor o(r).
-2*r**3*(r + 1)/3
Let p(u) be the first derivative of -u**3 - 7 - 3/2*u**2 + 6*u. Factor p(h).
-3*(h - 1)*(h + 2)
Let s = 209/4 + -52. Let o(d) = 2*d - 82. Let t be o(41). Factor 1/2*j + t + s*j**2.
j*(j + 2)/4
Let j be 0 - -1 - (-2 - -2). Factor 2*u + 2*u**2 + j - 2*u**2 - 4*u + u**2.
(u - 1)**2
Let y(t) = -13*t**3 + 13*t**2. Let a(z) = 84*z**3 - 84*z**2. Let g(u) = 5*a(u) + 32*y(u). Suppose g(c) = 0. What is c?
0, 1
Let p(s) be the second derivative of -s**5/20 + s**4/12 + s**3/6 - s**2/2 + 6*s. What is l in p(l) = 0?
-1, 1
Let q(p) = -p**2 - p - 8 + p + 7*p + 4*p. Let f be q(9). Suppose 5*x**4 + 14*x**4 - 33*x**3 - f*x**4 + 24*x**2 + 12*x = 0. Calculate x.
-1/3, 0, 2
Let f(u) be the second derivative of -1/12*u**4 + 1/4*u**2 + 0 - 2*u + 0*u**3 + 0*u**5 + 1/60*u**6. Factor f(n).
(n - 1)**2*(n + 1)**2/2
Let b(s) be the second derivative of s**4/20 + 3*s**3/10 - 6*s**2/5 - 7*s. Determine j so that b(j) = 0.
-4, 1
Let h(z) be the third derivative of -z**6/220 - 2*z**5/55 - 33*z**2. Let h(l) = 0. What is l?
-4, 0
Let w = -208 + 628/3. Let w*f - 2/3*f**2 - 2/3 = 0. Calculate f.
1
Factor 0*a - 8*a**3 + 0 + 16/5*a**2 - 52/5*a**4 - 14/5*a**5.
-2*a**2*(a + 2)**2*(7*a - 2)/5
Factor 3*h - 6*h**2 - 30*h**3 + 30*h**3 - 3*h**5 + 6*h**4.
-3*h*(h - 1)**3*(h + 1)
Let z(u) be the first derivative of 2/25*u**5 - 2/5*u - 1/5*u**4 + 2/5*u**2 + 0*u**3 - 10. Solve z(b) = 0.
-1, 1
Let t = 4 + -2. Suppose -t = s + 4*d, -4*d = s - d. Suppose a + 2*a - 2 + 4*a**3 + 1 + a - a**4 - s*a**2 = 0. What is a?
1
Let m(u) be the first derivative of u**6/2 + 24*u**5/5 + 9*u**4/2 - 40*u**3 + 75*u**2/2 - 42. Factor m(j).
3*j*(j - 1)**2*(j + 5)**2
Let l(q) be the first derivative of q**3 + 3*q**2/2 - 18*q + 28. Factor l(p).
3*(p - 2)*(p + 3)
Factor 0 - 2/9*p**4 - 2/3*p**2 - 2/9*p - 2/3*p**3.
-2*p*(p + 1)**3/9
Suppose 3*r = r + 84. Suppose h + r = 3*o - 2*h, 63 = 5*o + 2*h. Factor u**3 + o*u + u**3 - 13*u - 4*u**2.
2*u**2*(u - 2)
Let c(q) be the second derivative of q**4/8 - 3*q**2/4 + 9*q. Factor c(f).
3*(f - 1)*(f + 1)/2
Factor -1/6*b**4 + 1/6*b**5 + 0 + 1/6*b**2 - 1/6*b**3 + 0*b.
b**2*(b - 1)**2*(b + 1)/6
Factor 10*x**2 + 5 - 7*x**4 - 9*x**4 + 8*x**4 - 7*x**4 - 10*x**3 + 15*x - 5*x**5.
-5*(x - 1)*(x + 1)**4
Let d = -5 - -7. Let g be (-3)/(-9) + (-2)/42. Factor -2/7 + 2/7*z**5 - g*z**4 + 2/7*z + 4/7*z**d - 4/7*z**3.
2*(z - 1)**3*(z + 1)**2/7
Suppose 2*j - 4*u + 8 = 0, -61*u + 63*u = -3*j + 12. Factor 2/5*t**5 + 16/5*t**3 + 0 + 8/5*t**2 + j*t**4 + 0*t.
2*t**2*(t + 1)*(t + 2)**2/5
Let c(b) be the first derivative of -b**3/3 - 4*b**2 + 9*b - 29. Factor c(x).
-(x - 1)*(x + 9)
Let q be 2 + 0 - (7 - (-105)/(-20)). Factor 0*t**2 + 0 + 0*t - q*t**3.
-t**3/4
Suppose -2*g + 0*g**4 + 46*g**3 - 50*g**3 + 5*g**2 + 0*g**4 + g**4 = 0. What is g?
0, 1, 2
Let h = 10 + -4. Suppose h + 9*c**5 + c**5 + 3*c**3 - 39*c**2 - 15*c + 33*c**4 + 2*c**5 = 0. What is c?
-2, -1, 1/4, 1
Let b(w) = -w**2 - 5*w. Let u be b(-2). Let o(j) be the third derivative of 1/84*j**4 + 1/21*j**3 + 0 + 0*j - 1/210*j**5 - j**2 - 1/420*j**u. Solve o(n) = 0.
-1, 1
Suppose -5*o - 10 = -25. Let a(l) be the second derivative of 1/9*l**o - 5/18*l**4 - 3*l + 1/10*l**5 + 1/3*l**2 + 0. Factor a(h).
2*(h - 1)**2*(3*h + 1)/3
Let z be 3/15 + (-836)/(-20). Suppose 4*g**2 - 42*g + 4*g**3 + z*g = 0. Calculate g.
-1, 0
Let c(k) be the second derivative of k**6/90 + k**5/15 + 5*k**4/36 + k**3/9 - 5*k. What is i in c(i) = 0?
-2, -1, 0
Let t(w) be the first derivative of -1/3*w**3 + 1 - w - w**2. Factor t(u).
-(u + 1)**2
Let k(d) be the second derivative of 3/25*d**5 - 1/50*d**6 + 0*d**2 + 0*d**3 - 7*d - 1/5*d**4 + 0. Factor k(x).
-3*x**2*(x - 2)**2/5
Let o(c) be the first derivative of -1/2*c**4 + 14/9*c**3 - 5/3*c**2 + 2/3*c - 1. Let o(w) = 0. What is w?
1/3, 1
Let x(c) be the second derivative of c**7/2520 + c**6/1080 - c**5/360 - c**4/72 + c**3/2 + 2*c. Let v(j) be the second derivative of x(j). Factor v(i).
(i - 1)*(i + 1)**2/3
Let x(g) be the first derivative of g**6/6 + 2*g**5/5 + g**4/2 + g**3/3 - g**2/2 - 1. Let j(k) = k**5 + 2*k**4 + k**3. Let a(m) = 5*j(m) - 4*x(m). Factor a(w).
w*(w - 1)**2*(w + 2)**2
Let r(a) be the second derivative of -a**6/10 + a**4/4 - 45*a. Factor r(m).
-3*m**2*(m - 1)*(m + 1)
Let h(w) be the third derivative of w**10/10080 + w**9/7560 - w**8/6720 - w**4/4 - 3*w**2. Let f(j) be the second derivative of h(j). What is n in f(n) = 0?
-1, 0, 1/3
Let f(a) be the first derivative of -a**4/3 + 20*a**3/9 - 16*a**2/3 + 16*a/3 - 4. Solve f(k) = 0 for k.
1, 2
Let x(j) be the second derivative of -j**4/36 + j**3/6 - j**2/3 + 18*j. Factor x(t).
-(t - 2)*(t - 1)/3
Let l(t) = 7*t**2 - 3*t. Let b(j) = 15*j**2 - 6*j + 1. Let h(v) = -2*b(v) + 5*l(v). Find x, given that h(x) = 0.
-2/5, 1
Let h(f) be the second derivative of -f**5/8 + 5*f**4/8 + 5*f**3/12 - 15*f**2/4 - 4*f +