+ 13. Let x be h(-10). Let c(j) be the first derivative of -1/4*j**2 + 2 - 1/3*j**x + 0*j - 1/8*j**4. Factor c(n).
-n*(n + 1)**2/2
Let d(b) be the second derivative of b**5/4 - 5*b**3/2 + 5*b**2 - 5*b. What is q in d(q) = 0?
-2, 1
Let c(a) be the third derivative of a**7/2940 + a**6/315 + a**5/105 + a**3/2 - a**2. Let q(p) be the first derivative of c(p). Factor q(n).
2*n*(n + 2)**2/7
Determine j, given that 2/7*j + 0 - 2/7*j**3 + 0*j**2 = 0.
-1, 0, 1
Let q(o) = -o**3 - 3*o**2 + 4*o. Let j be q(-4). Factor 6*c**2 + j*c**3 - 7*c - 3*c**3 + 4*c.
-3*c*(c - 1)**2
Let p(n) = -7*n**2 - 7*n - 5. Let b(h) = -15*h**2 - 15*h - 11. Let s(d) = 6*b(d) - 13*p(d). Let f be s(1). Factor f + 6*c**2 + 0 + 6*c + 1 + 2*c**3.
2*(c + 1)**3
Let m(q) = 18*q**2 - 36*q - 43. Let d(u) = -10*u**2 + 18*u + 22. Let g(s) = -11*d(s) - 6*m(s). Let g(b) = 0. What is b?
-8, -1
Let v(u) be the third derivative of u**8/112 - u**6/20 + u**4/8 + 20*u**2. Suppose v(m) = 0. Calculate m.
-1, 0, 1
Let u(c) = c - 7. Let h be u(9). Suppose 4*r - 18 = 2*p, 0 = 2*r - 0*p - 3*p - 3. Factor h - 4*o**2 + r*o**2 - 4.
2*(o - 1)*(o + 1)
Let f(s) be the first derivative of 3*s**4/28 - 3*s**3/7 - 3*s**2/14 + 9*s/7 - 29. What is x in f(x) = 0?
-1, 1, 3
Let c(a) = -7*a**3 - 8*a**2 + 4*a + 5. Let i(u) = -6*u**3 - 8*u**2 + 4*u + 6. Let d(z) = 2*c(z) - 3*i(z). Factor d(q).
4*(q - 1)*(q + 1)*(q + 2)
Let h(i) = 7*i**4 + 3*i**3 - 9*i**2 + 8*i + 3. Let u(v) = -22*v**4 - 10*v**3 + 26*v**2 - 24*v - 10. Let f(g) = 10*h(g) + 3*u(g). Suppose f(r) = 0. What is r?
-2, 0, 1
Factor -32/3*s**2 - 49/3*s**4 + 0 - 77/3*s**3 - 4/3*s.
-s*(s + 1)*(7*s + 2)**2/3
Let m(d) be the second derivative of 0 - 5/72*d**4 - 1/180*d**6 - 5*d + 1/30*d**5 + 1/18*d**3 + 0*d**2. What is x in m(x) = 0?
0, 1, 2
Let l(q) be the first derivative of q**6/12 + q**5/5 - q**3/3 - q**2/4 + 6. Solve l(x) = 0 for x.
-1, 0, 1
Let w be (-12)/8 - 2/4. Let p be (-3)/9*w*3. Determine k, given that -k**2 + 2*k**3 + 2*k**p - k**4 - 2*k**2 = 0.
0, 1
Find l such that 21*l - 32*l**2 + 6*l**3 + 56 - 2*l**3 - l = 0.
-1, 2, 7
Let y be 1/(-10)*(-20)/(-8)*-3. Let 3/4 - 3/4*w**3 - y*w**2 + 3/4*w = 0. Calculate w.
-1, 1
Solve -6*n**2 + 4*n - n**3 + n**3 - 7*n**3 - 3*n**3 = 0.
-1, 0, 2/5
Factor 3/5*w - 1/5 - 3/5*w**2 + 1/5*w**3.
(w - 1)**3/5
Let l(c) = -270*c**4 + 90*c**3 + 219*c**2 - 99*c. Let f(d) = -27*d**4 + 9*d**3 + 22*d**2 - 10*d. Let m(o) = -21*f(o) + 2*l(o). Determine j, given that m(j) = 0.
-1, 0, 2/3
Suppose -j = -1, 3*j + 20 + 5 = 4*n. Let z = -3 + n. Factor -1/2*t**2 + 0 + 1/2*t**z + 1/2*t**3 - 1/2*t.
t*(t - 1)*(t + 1)**2/2
Let n(l) = -24*l**4 + 44*l**3 + 128*l**2 + 28*l - 4. Let g(r) = 8*r**4 - 15*r**3 - 43*r**2 - 9*r + 1. Let p(t) = -14*g(t) - 5*n(t). Suppose p(h) = 0. What is h?
-1, 1/4, 3
Let y be 20/45*(-7541)/4. Let s = -837 - y. Factor -2/9*h**2 - 8/9*h - s.
-2*(h + 2)**2/9
Let l(u) be the second derivative of u**6/120 - 3*u**5/80 + u**4/16 - u**3/24 - 3*u. Determine h, given that l(h) = 0.
0, 1
Let c(k) be the second derivative of -1/6*k**4 + 0*k**2 + 1/5*k**5 + 3*k + 0*k**3 + 0 - 1/15*k**6. Factor c(z).
-2*z**2*(z - 1)**2
Let p = -38 - -43. Let s(m) be the third derivative of -1/60*m**p + 0 + 1/3*m**3 + 0*m + 1/24*m**4 + 2*m**2. Solve s(j) = 0.
-1, 2
Let w be 10*(-1)/(-8)*-12. Let s be (-6)/10 + (-54)/w. Factor 0*m + 8/5 - 6/5*m**2 + 2/5*m**s.
2*(m - 2)**2*(m + 1)/5
Solve 3*m**3 - 23*m**2 + 0*m - 6 - 3*m + 29*m**2 = 0 for m.
-2, -1, 1
Let p(j) be the second derivative of j**7/294 - j**5/140 + 15*j. Factor p(v).
v**3*(v - 1)*(v + 1)/7
Let c(t) be the first derivative of 5*t**4/4 - 35*t**3/3 - 85*t**2/2 - 45*t + 69. Factor c(u).
5*(u - 9)*(u + 1)**2
Let c(x) = -36*x**2 - 15*x - 1. Let b(g) = g. Let f(q) = 3*b(q) + c(q). Factor f(h).
-(6*h + 1)**2
Let b(l) be the third derivative of l**5/15 + l**4/3 + 16*l**2. Find k such that b(k) = 0.
-2, 0
Let l = 10 + -4. Factor -l*a**4 + 0*a**2 + 5*a**4 + 2*a**4 - a**2.
a**2*(a - 1)*(a + 1)
Let l(x) = x**2 + 5. Let k be l(0). Let a(u) be the second derivative of 1/10*u**k + 2*u + 1/6*u**4 - 1/3*u**3 + 0 - u**2. Solve a(y) = 0.
-1, 1
Let k(x) be the second derivative of 0*x**2 + 1/9*x**3 - 2*x + 0 - 1/18*x**4. Suppose k(u) = 0. Calculate u.
0, 1
Let u(k) = -k**2. Let s(y) = -3*y**4 + 12*y**3 - 27*y**2. Let r(p) = -s(p) + 15*u(p). Factor r(n).
3*n**2*(n - 2)**2
Let m(x) = x**5 + x**4 - x**2 - 1. Let w(b) = 2*b**3 - 8*b**2 + 2*b**3 - 6 + 8*b**5 - 2*b**2 - 6*b**3 + 10*b**4. Let o(u) = -6*m(u) + w(u). Factor o(g).
2*g**2*(g - 1)*(g + 1)*(g + 2)
Let v(c) = c**2 + 5*c - 9. Let b be v(-7). Suppose -24 = -j + 4*o + o, -b*o = 20. Factor -j*i**2 + 4*i**2 - i**4 + i**2.
-i**2*(i - 1)*(i + 1)
Let s(r) be the second derivative of 0*r**5 + 1/231*r**7 + 0*r**4 - 4*r + 0*r**3 + 0 + 0*r**2 + 0*r**6. Let s(h) = 0. What is h?
0
Let o(y) = y**2 + 6*y - 5. Let q be o(-7). Determine m so that 0*m**2 - 2*m + 6*m - 2 - q*m**2 = 0.
1
Let a(t) be the third derivative of -t**7/210 + t**6/120 + t**5/30 - 4*t**2. Let a(m) = 0. Calculate m.
-1, 0, 2
Let g(h) be the second derivative of -h**7/273 + 2*h**6/195 - h**4/39 + h**3/39 - 8*h. Suppose g(b) = 0. What is b?
-1, 0, 1
Let f(r) be the first derivative of 0*r + 1/30*r**4 + 1/15*r**3 + 1/150*r**5 + 1 - 3/2*r**2. Let z(u) be the second derivative of f(u). Factor z(a).
2*(a + 1)**2/5
Suppose -34 - 16 = -5*w. Suppose 2*z = -6, -j - 5*z + z = w. Let 2 + 2*b - 3*b - 3*b - 2*b - 8*b**j = 0. Calculate b.
-1, 1/4
Let l(g) be the third derivative of g**10/30240 - g**9/15120 + g**4/24 + g**2. Let k(a) be the second derivative of l(a). Suppose k(x) = 0. Calculate x.
0, 1
Let n be 2*(-2)/(-90)*(3 + 2). Solve n + 2/3*i**2 + 2/9*i**3 + 2/3*i = 0 for i.
-1
Let r be 1/(-2)*3/(-1). Let b = 1480 - 2951/2. Find n, given that b*n + r*n**2 + 3 = 0.
-2, -1
Suppose 0*r = 2*r - 2*u, 0 = -r - 5*u. Factor 1/2*v**3 - 1/2*v + r*v**2 - 1/4*v**4 + 1/4.
-(v - 1)**3*(v + 1)/4
Let a(j) be the third derivative of -j**6/180 + j**4/12 - 2*j**3/9 - j**2. Suppose a(u) = 0. Calculate u.
-2, 1
Let x(f) be the first derivative of 14/33*f**3 + 2/11*f**5 - 3 + 2/11*f**2 + 1/33*f**6 + 9/22*f**4 + 0*f. Solve x(z) = 0.
-2, -1, 0
Let h(o) be the second derivative of -3*o**7/280 - o**6/60 - o**5/120 + o**3/6 - 2*o. Let i(v) be the second derivative of h(v). Factor i(y).
-y*(3*y + 1)**2
Suppose 18 = -12*g + 54. Factor 0*h + 0 + 1/2*h**4 + 3/4*h**g + 1/4*h**2.
h**2*(h + 1)*(2*h + 1)/4
Let v be 3 - (-3)/9*-3. Suppose -4 = 2*d, 3*c + d + 3*d + v = 0. Factor 4*p + 18*p**c - 2*p + 2*p.
2*p*(9*p + 2)
Let a = -75 + 77. Let b(g) be the third derivative of -1/30*g**5 + 0*g + 3*g**a + 0 + 0*g**3 + 1/12*g**4. Determine j, given that b(j) = 0.
0, 1
Suppose -q + 2*b - 6 = -0*b, -2*q = 3*b - 16. What is p in p**5 - 2*p**4 + 4*p**2 - 2*p - 4*p + 4*p**3 - 3*p**5 + 4*p - q = 0?
-1, 1
Let w(r) be the second derivative of 0*r**2 + 1/225*r**6 + 0 - 2/45*r**3 + 7*r - 2/75*r**5 + 1/18*r**4. Factor w(h).
2*h*(h - 2)*(h - 1)**2/15
Let y be -3 + 3 - (-6 - 2). Let k = -5 + y. Factor 6*x**k - 3*x**3 - x - 2*x**3.
x*(x - 1)*(x + 1)
Let q(x) be the third derivative of -x**5/420 + x**4/84 - x**3/42 - 14*x**2. Factor q(i).
-(i - 1)**2/7
Let a = 4 - 6. Let b be a/(-9)*3*3. Factor 2*f**3 - 7*f - b*f + 3*f - 4.
2*(f - 2)*(f + 1)**2
Let a(p) be the second derivative of -p**10/5040 + 2*p**9/2835 - p**8/2016 - p**7/1890 - p**4/12 - 3*p. Let b(y) be the third derivative of a(y). Factor b(x).
-2*x**2*(x - 1)**2*(9*x + 2)/3
Let n = 66721/96 + -695. Let p(d) be the third derivative of -n*d**4 - 1/12*d**3 + 1/240*d**5 - 2*d**2 + 0 + 0*d. Solve p(r) = 0.
-1, 2
Let r = 104 + -104. Let f(k) be the second derivative of -2/9*k**4 - 2/3*k**2 + 1/30*k**5 + 3*k + 5/9*k**3 + r. Factor f(h).
2*(h - 2)*(h - 1)**2/3
Factor -9/5*r**2 + 1/5*r**3 + 0*r + 0.
r**2*(r - 9)/5
Let p(v) be the second derivative of 2*v**7/21 + 2*v**6/15 - 3*v**5/5 - v**4/3 + 4*v**3/3 + 3*v. Determine u, given that p(u) = 0.
-2, -1, 0, 1
Let k(c) = -7*c**3 + c**2 - 7*c - 5. Suppose -7 = -2*n - 1. Let s = n + -1. Let u(z) = 3*z**3 + 3*z + 2. Let g(d) = s*k(d) + 5*u(d). Factor g(f).
f*(f + 1)**2
Suppose -3*m = -4 - 2. Suppose z = 4*z - 3*h - 9, -3*z + 8 = -2*h. Factor -2*v + m - 3*v - 2*v**z + 6*v - v**3.
-(v - 1)*(v + 1)*(v + 2)
Suppose 1/4*g**3 + 1 - 1/4*g - g**2 = 0. Calculate g.
-1, 1, 4
Let p = 33 + -30. Let l