 1)/4
Let d be 1/(-2) + 15/6. Let i(v) be the second derivative of 0*v**3 + 1/30*v**4 - 2*v + 0 + 0*v**d - 1/50*v**5. Factor i(u).
-2*u**2*(u - 1)/5
What is z in -4/7*z**2 - 36/7 + 24/7*z = 0?
3
Let q(t) be the first derivative of -2*t**5/45 + t**4/6 - 2*t**3/9 + t**2/9 - 60. Factor q(v).
-2*v*(v - 1)**3/9
Let g(f) be the third derivative of -f**6/24 - f**5/12 + 5*f**4/12 + 63*f**2. Factor g(u).
-5*u*(u - 1)*(u + 2)
Determine x so that -3/2*x**2 - 3/2 - 3*x = 0.
-1
Let n = 1073 + -4289/4. Suppose 11/4*o + n - o**2 = 0. What is o?
-1/4, 3
Let i be (-1)/6 + (-31)/(-6). Let q = 7 - i. Solve -4/5 + 0*n**4 + 8/5*n**3 - 2/5*n**5 + 4/5*n**q - 6/5*n = 0.
-1, 1, 2
Factor -3/4*x**4 - 3/4*x**5 + 0 + 3/4*x**2 + 0*x + 3/4*x**3.
-3*x**2*(x - 1)*(x + 1)**2/4
Suppose 3*d - 4*d = 10. Let x(q) = q**3 + 10*q**2 + q + 13. Let z be x(d). Let 1 + 9/2*m**z - 8*m**2 + 5/2*m = 0. What is m?
-2/9, 1
Suppose -3*i + 8 = 2*p, -2 = i + 3*p - 0. Let u be 3/12 - (-7)/i. Factor 8/7 - 6/7*s**u - 8/7*s.
-2*(s + 2)*(3*s - 2)/7
Factor -4*f**4 - 6*f - 6*f**3 + 6*f**4 + 12*f**3 + 2*f**2 - 4.
2*(f - 1)*(f + 1)**2*(f + 2)
Let j(l) be the second derivative of -1/12*l**4 + 1/2*l**2 + 0 - 1/20*l**5 + 1/6*l**3 - 6*l. Factor j(x).
-(x - 1)*(x + 1)**2
Determine m, given that 10/3*m**4 - 8/3 + 16/3*m - 2/3*m**5 - 14/3*m**3 - 2/3*m**2 = 0.
-1, 1, 2
Let p(k) be the second derivative of -k**8/1008 + k**6/180 - k**4/72 - k**2 - 4*k. Let o(q) be the first derivative of p(q). Suppose o(x) = 0. What is x?
-1, 0, 1
Let k(l) be the first derivative of 8*l**3/15 - l**2 + 2*l/5 - 6. Factor k(p).
2*(p - 1)*(4*p - 1)/5
Solve y**5 - 13*y**4 - 16*y**2 + 6*y + 3*y + 14*y**3 + 7*y**4 + 0*y**2 - 2 = 0.
1, 2
Let w be 2/(-10) - 4/(-20). Let o(z) be the third derivative of 0 + z**2 - 1/60*z**6 + w*z - 1/30*z**5 + 1/12*z**4 + 1/3*z**3. Find m such that o(m) = 0.
-1, 1
Let r(o) = -11*o**2 + 17*o - 1. Let v(t) = -6*t**2 + 9*t. Let z(c) = -3*r(c) + 5*v(c). Suppose z(f) = 0. What is f?
1
Let w(u) = 2*u**3 + u**2 - u. Let o(i) = -7*i**3 + i**2 + 3*i. Let h(c) = 4*o(c) + 12*w(c). Factor h(p).
-4*p**2*(p - 4)
Let o(n) be the third derivative of n**6/60 + n**5/105 + 30*n**2. Solve o(z) = 0.
-2/7, 0
Let m(t) = -t**3 + 8*t**2 - 17*t + 30. Let f be m(6). Suppose 1/3*b**3 + f + 4/3*b - 4/3*b**2 = 0. Calculate b.
0, 2
Let i(q) be the third derivative of q**7/105 - q**6/30 - 20*q**2. What is m in i(m) = 0?
0, 2
Let l(j) be the first derivative of -4*j**5/45 + 4*j**3/9 + 4*j**2/9 - 42. Suppose l(z) = 0. Calculate z.
-1, 0, 2
Suppose 2 = 5*n - 43. Suppose -s + 4 = -d, 2*s + 5*d + n = 3. Factor 2/3*f**s - 8/3*f + 8/3.
2*(f - 2)**2/3
Let z(i) = -i. Let j be z(-5). Suppose 0 = 5*m + j*f - 25, -5*m - 3*f = -9 - 12. Let -m - 2*v + 5*v - 6*v + 3*v**3 + 3*v**2 = 0. What is v?
-1, 1
Let f(i) be the first derivative of 5*i**3/3 + 5*i**2/2 - 2. Factor f(o).
5*o*(o + 1)
Factor 0*g**3 + g**3 - 7*g**3 - 4*g**4 - 2*g**3.
-4*g**3*(g + 2)
Determine z so that 3*z**2 - 2*z**3 + 1/2*z**4 + 1/2 - 2*z = 0.
1
Factor -39/2*w - 45/2*w**2 - 3/2*w**4 - 6 - 21/2*w**3.
-3*(w + 1)**3*(w + 4)/2
Let f(t) = -t - 4. Let n be f(-6). Factor 0*l - 3*l**2 - 2*l + 6*l**n - l**3.
-l*(l - 2)*(l - 1)
Let l(d) be the third derivative of -d**7/70 + d**6/20 - d**4/4 + d**3/2 - 6*d**2. Factor l(m).
-3*(m - 1)**3*(m + 1)
Let r = -47/7 - -148/21. Let h(t) be the first derivative of 1/4*t**2 + 0*t + 1/8*t**4 - r*t**3 + 5. Factor h(y).
y*(y - 1)**2/2
Let t(l) be the third derivative of l**5/60 - l**4/6 + l**2. Factor t(w).
w*(w - 4)
Let t(z) = z**5 - z**4 - z**3 + z**2 + z - 1. Let r(c) = -8*c**5 + 7*c**4 + 6*c**3 - c**2 - 13*c + 9. Let w(j) = 2*r(j) + 18*t(j). Factor w(s).
2*s*(s - 2)*(s - 1)**2*(s + 2)
Let p = 4 - 3. Let r(k) = 2*k - 8*k + 7*k. Let h(y) = y**2 + 8*y + 2. Let o(n) = p*h(n) - 5*r(n). Factor o(x).
(x + 1)*(x + 2)
Let m(l) be the second derivative of 1/2*l**2 - 4*l + 1/6*l**3 - 1/12*l**4 - 1/20*l**5 + 0. Factor m(v).
-(v - 1)*(v + 1)**2
Let a(g) be the second derivative of -g**5/20 + 2*g**3/3 + 64*g. Factor a(f).
-f*(f - 2)*(f + 2)
Factor -16/3*y - 7/3*y**2 - 4/3.
-(y + 2)*(7*y + 2)/3
Let f(i) be the first derivative of i**6/60 - 2*i**2 - 3. Let q(u) be the second derivative of f(u). What is a in q(a) = 0?
0
Suppose 24*s + 2 - 50 = 0. Find q, given that 0*q**s + 6/7*q - 6/7*q**3 + 3/7*q**4 - 3/7 = 0.
-1, 1
Let w(g) be the first derivative of g**6/540 - g**5/30 + g**4/4 - 2*g**3/3 + 1. Let m(y) be the third derivative of w(y). Determine v so that m(v) = 0.
3
Let v(m) = 10*m**2 - 10. Let n(s) = 11*s**2 - 11. Let w(o) = -6*n(o) + 7*v(o). Let w(r) = 0. Calculate r.
-1, 1
Suppose 0 = -2*m - 5*d + 12 + 21, 2*m - 3*d + 7 = 0. Suppose -4*r + p = r - 35, -r + m*p = -7. Factor c**2 + c**2 - r*c**3 + 0*c**2.
-c**2*(7*c - 2)
Let f(j) be the third derivative of j**7/315 + j**6/45 - j**5/15 - j**4/9 + 5*j**3/9 + 39*j**2. Factor f(d).
2*(d - 1)**2*(d + 1)*(d + 5)/3
Let j(h) be the second derivative of h**5/90 + h**4/18 + 2*h**3/27 - 7*h. Determine q so that j(q) = 0.
-2, -1, 0
Let o(w) be the second derivative of 0 - 1/130*w**5 - 1/39*w**4 + 0*w**2 - 2*w - 1/39*w**3. Factor o(t).
-2*t*(t + 1)**2/13
Let q(o) be the first derivative of o**7/1260 - o**6/90 + o**5/15 - 2*o**4/9 + 2*o**3/3 + 2. Let p(r) be the third derivative of q(r). Solve p(w) = 0 for w.
2
Let q(d) = 15*d + 259. Let z be q(-17). Find x, given that 8/3*x + 2/3*x**4 + 16/3 - 2/3*x**3 - z*x**2 = 0.
-2, -1, 2
Factor 7 - 3*x**3 - 18 + 15*x**2 - 9 + 8*x**3.
5*(x - 1)*(x + 2)**2
Factor 0 - 3/2*n + 1/2*n**2.
n*(n - 3)/2
Solve 12*u**3 + 4*u**2 - 5*u**3 + 7*u**3 + 2*u**3 = 0.
-1/4, 0
Let m(i) be the first derivative of 30*i**6 + 192*i**5/5 + 17*i**4 + 8*i**3/3 - 2. Factor m(y).
4*y**2*(3*y + 1)**2*(5*y + 2)
Suppose -2*f = -4*o + 14, 10*f - 9*f = -3. Let a be (-4)/(-6)*3/7. Solve a*z**o + 0 + 0*z = 0 for z.
0
Find z such that 4*z**2 - 9*z**2 + 4*z**2 + 6 + z = 0.
-2, 3
Let x(l) = -l**5 - 4*l**4 + 2*l**2 - 3*l. Let m(u) = -2*u**5 - 4*u**4 - u**3 + u**2 - 3*u. Let t(p) = 2*m(p) - 3*x(p). Factor t(k).
-k*(k - 3)*(k - 1)**2*(k + 1)
Factor 92/7*l**2 + 50/7 - 120/7*l - 24/7*l**3 + 2/7*l**4.
2*(l - 5)**2*(l - 1)**2/7
Let j(p) = -5*p**3 + 5*p**2 + 7*p + 7. Let k(l) = -l**2 - l**3 + 4*l - 2*l**3 + l**2 + 3*l**2 + 4. Let z(y) = 4*j(y) - 7*k(y). Factor z(b).
b**2*(b - 1)
Let r = -4 + 8. Factor 5 + 3*z**2 - 3*z - 2 + 5*z + r*z.
3*(z + 1)**2
Let d(g) be the third derivative of g**7/1260 + 7*g**6/1800 + g**5/150 + g**4/12 - g**2. Let c(s) be the second derivative of d(s). Factor c(l).
2*(l + 1)*(5*l + 2)/5
Let s(a) = 7*a**2 - 3*a + 8. Let q(l) = 8*l**2 - 3*l + 9. Let i = 22 + -12. Let c = i + -4. Let j(y) = c*q(y) - 7*s(y). Factor j(d).
-(d - 2)*(d - 1)
Let p(y) be the first derivative of -y**4/4 - 5*y**3/3 - 3*y**2 - 6*y - 1. Let s be p(-4). Factor 2*x - x**2 - s*x - x.
-x*(x + 1)
Let a(m) = -m**5 + m**3 + m. Let j(d) = -20*d**5 - 13*d**4 + 54*d**3 + 75*d**2 + 34*d + 4. Let l(q) = -4*a(q) + 2*j(q). Let l(o) = 0. Calculate o.
-1, -1/2, -2/9, 2
Let a(y) be the first derivative of -3*y**3 + 4 + 3/4*y**4 - 3*y + 9/2*y**2. Factor a(k).
3*(k - 1)**3
Let q(y) = -2*y - 14. Let r be q(-7). Let l(o) be the third derivative of r - 1/3*o**3 - 1/60*o**5 + 1/8*o**4 - 3*o**2 + 0*o. What is z in l(z) = 0?
1, 2
Suppose i - 2*i + 5 = -5*x, 4*i - 4*x = 4. Let y(f) be the second derivative of -4/5*f**3 - 2*f + 6/5*f**4 + 1/5*f**2 + i. Factor y(m).
2*(6*m - 1)**2/5
Let n(q) be the second derivative of 1/6*q**3 + 1/24*q**4 + 2*q + 0 + 0*q**2. Factor n(j).
j*(j + 2)/2
Let y(d) be the first derivative of -2*d**5/45 + 2*d**3/27 - 8. Factor y(m).
-2*m**2*(m - 1)*(m + 1)/9
Let g(o) be the first derivative of -4/35*o**5 + 24/7*o**2 - 3/7*o**4 + 32/7*o + 8/21*o**3 + 6. What is c in g(c) = 0?
-2, -1, 2
Suppose 3*t - 1 = 5*h - 14, -4*h = -20. Let s(a) be the second derivative of -1/42*a**t + 2*a - 4/7*a**2 + 4/21*a**3 + 0. Determine f so that s(f) = 0.
2
Let j = 7907 - 205619/26. Let m = 1/13 - j. Find b, given that m*b**2 - 1/2 + b = 0.
-1, 1/3
Let c(b) be the first derivative of b**4/36 + b**3/18 + 3*b - 2. Let s(j) be the first derivative of c(j). Factor s(k).
k*(k + 1)/3
Let l(f) = 24*f**5 - 99*f**4 + 57*f**3 - 12*f**2 - 3*f. Let s(w) = -23*w**5 + 99*w**4 - 57*w**3 + 13*w**2 + 4*w. Let x(a) = 4*l(a) + 3*s(a). Factor x(v).
3*v**2*(v - 3)*(3*v - 1)**2
Let k(