rmine a so that 1/2*a**5 + 13/2*a**3 - 3*a**4 + m + 2*a - 6*a**2 = 0.
0, 1, 2
Let i = 157 + -470/3. Factor -2/3*j**4 + i*j**5 + 0*j**2 + 0*j + 1/3*j**3 + 0.
j**3*(j - 1)**2/3
Let i(j) be the third derivative of -j**9/68040 + j**8/30240 - j**4/24 - 3*j**2. Let s(x) be the second derivative of i(x). Factor s(m).
-2*m**3*(m - 1)/9
Let u(l) be the first derivative of -l**5 + 5*l**4/2 + 5*l**3 - 10*l**2 - 20*l + 13. Factor u(r).
-5*(r - 2)**2*(r + 1)**2
Factor 0 - 10/13*q**2 + 4/13*q - 14/13*q**3.
-2*q*(q + 1)*(7*q - 2)/13
Let p(j) = -j - 1. Let a(g) = -2*g**2 - 2*g. Let m(h) = a(h) + 4*p(h). Find u such that m(u) = 0.
-2, -1
Let c(y) be the second derivative of -y**6/60 + y**5/10 - y**4/12 - y**3/3 + 3*y**2/4 + 15*y. Let c(v) = 0. Calculate v.
-1, 1, 3
Let z(l) be the second derivative of -2/15*l**6 - 2/21*l**3 + 0 - 13/42*l**4 - 5/14*l**5 + 0*l**2 - 3*l. Suppose z(r) = 0. What is r?
-1, -1/2, -2/7, 0
Let o(n) = -n**3 - n**2 + n. Let y(u) = 5*u**3 + 7*u**2 - 7*u. Let s(g) = 14*o(g) + 2*y(g). Factor s(f).
-4*f**3
Let r(u) = -16*u - 3. Let x be r(-2). Suppose 2*i + 5*m - x = -i, 15 = 2*i - m. Factor -i*q**3 + q - 9*q**5 - 10*q**3 + 24*q**4 + 2*q.
-3*q*(q - 1)**3*(3*q + 1)
Let g(p) = -11*p**2 + 5*p + 7. Suppose 2 + 2 = l. Let d(k) = -5*k**2 + 2*k + 3. Let n(a) = l*g(a) - 9*d(a). Factor n(q).
(q + 1)**2
Let b = -4 - -5. Let w = b - -1. Determine y, given that 0*y**2 - w*y**2 + 3*y**2 - y**4 = 0.
-1, 0, 1
Let b(a) = -a**2 - a + 1. Let n(m) = 5*m**3 - 50*m**2 - 15*m + 30. Let p(o) = -30*b(o) + n(o). Suppose p(f) = 0. What is f?
0, 1, 3
Suppose -2*g = 2*b - 6*b + 16, -5*b = -3*g - 22. Let v(q) be the third derivative of 0*q + 0 + 0*q**3 - q**b + 1/240*q**6 + 0*q**5 - 1/48*q**4. Factor v(m).
m*(m - 1)*(m + 1)/2
Find t, given that -47*t + 0 + 54*t - 1 + 7 + t**2 = 0.
-6, -1
Let c = 2/821 + -3302/7389. Let z = c - -10/9. Let 0 - z*f**2 + 2/3*f = 0. What is f?
0, 1
Let a(v) = v**3 + 11*v**2 + 8*v - 17. Let f be a(-10). Find m such that 7*m**2 - 3*m**f + m + m**2 - 5*m - m**3 = 0.
0, 1
Suppose 0 = -4*i - 0*i, -i = -2*k. Suppose -q - q = k. Factor 0*a + q*a**3 + 0 - 1/4*a**4 + 1/4*a**2.
-a**2*(a - 1)*(a + 1)/4
Let s(t) be the third derivative of t**8/10080 + t**7/5670 - t**6/3240 - 5*t**4/24 - 4*t**2. Let l(u) be the second derivative of s(u). Factor l(v).
2*v*(v + 1)*(3*v - 1)/9
Let u(a) be the first derivative of 9261*a**4/26 + 1764*a**3/13 + 252*a**2/13 + 16*a/13 - 20. Factor u(d).
2*(21*d + 2)**3/13
Let v(r) be the first derivative of -2 + 6/5*r**5 + 1/6*r**6 + 16/3*r**3 + 2*r + 9/2*r**2 + 7/2*r**4. Factor v(d).
(d + 1)**4*(d + 2)
Let k(z) be the first derivative of -z**4/5 + 19*z**3/15 - 19*z**2/10 - 6*z/5 + 22. Factor k(n).
-(n - 3)*(n - 2)*(4*n + 1)/5
Let c(k) be the third derivative of k**6/660 + k**5/110 + k**4/44 + k**3/33 + 18*k**2. Suppose c(v) = 0. Calculate v.
-1
Let z(j) = -j**2 + 9*j. Let l(p) = 10*p. Let k(r) = 2*r - 1. Let w be k(-2). Let m(g) = w*l(g) + 6*z(g). Factor m(f).
-2*f*(3*f - 2)
Let j(d) be the first derivative of d**7/2520 - d**6/1080 + 4*d**3/3 + 6. Let a(k) be the third derivative of j(k). Factor a(m).
m**2*(m - 1)/3
Factor -4/3*s - 2/3 - 5/6*s**2 - 1/6*s**3.
-(s + 1)*(s + 2)**2/6
Let q(f) = f**2 - 18*f - 15. Let n be q(19). Suppose -6/5*o**2 + 0 + 0*o + 9/5*o**3 - 3/5*o**n = 0. What is o?
0, 1, 2
Let n(b) = 1. Let g(l) = l**2 + 24*l + 139. Let f(u) = -g(u) - 5*n(u). Find v such that f(v) = 0.
-12
Let r(n) be the first derivative of n**5/30 - n**4/8 + n**3/6 - n**2/12 + 13. Let r(d) = 0. Calculate d.
0, 1
Let i(u) be the second derivative of -u**10/105840 - u**9/26460 + u**7/4410 + u**6/2520 - u**4/12 + 3*u. Let r(m) be the third derivative of i(m). Factor r(t).
-2*t*(t - 1)*(t + 1)**3/7
Let c(i) be the first derivative of 0*i + 0*i**2 - 1/5*i**4 + 3 - 2/25*i**5 - 2/15*i**3. Factor c(k).
-2*k**2*(k + 1)**2/5
Factor -1/2*w**5 + 5*w**2 + 0 + 4*w**4 + 0*w + 19/2*w**3.
-w**2*(w - 10)*(w + 1)**2/2
Let c(q) be the third derivative of -q**6/24 - q**5/6 - 5*q**4/24 + q**2 + 3. Let c(u) = 0. Calculate u.
-1, 0
Let x(a) be the first derivative of -a**5/2 - a**4/3 + a - 1. Let n(u) be the first derivative of x(u). Factor n(t).
-2*t**2*(5*t + 2)
Let i(w) = -11*w**2 + 6*w + 8. Let x(j) = 5*j**2 - 3*j - 4. Let y(n) = -4*i(n) - 9*x(n). Find s, given that y(s) = 0.
-1, 4
Let x(b) be the second derivative of -b**8/6720 + b**6/240 + b**5/60 + 5*b**4/12 + 4*b. Let l(o) be the third derivative of x(o). Suppose l(i) = 0. What is i?
-1, 2
Let q(p) = 11*p**2 - 6*p - 6. Let u(c) = 65*c**2 - 35*c - 35. Let t(k) = -35*q(k) + 6*u(k). Let t(f) = 0. Calculate f.
0
Let i = 299/590 - 2/295. Factor 3/2*l**3 + 0 - i*l**4 + 1/2*l - 3/2*l**2.
-l*(l - 1)**3/2
Factor 0 - 6/7*a - 1/7*a**3 - 5/7*a**2.
-a*(a + 2)*(a + 3)/7
Suppose 4*g - 3*g**2 - 1 + 7 - g = 0. What is g?
-1, 2
Let j = -205/3 - -413/6. Find s, given that 0*s**2 + j*s**4 + 0*s + 0 + 1/4*s**5 + 1/4*s**3 = 0.
-1, 0
Let u(l) = l**3 - 2*l**2 + l + 2. Let b be u(3). Let s = b - 6. Solve -1 - 1 - 8*o + s*o**3 + 4 - 2*o**2 = 0 for o.
-1, 1/4, 1
Suppose 6*j = 10*j + j. Find u, given that 0*u**3 - 1/3*u + 1/2*u**2 - 1/6*u**4 + j = 0.
-2, 0, 1
Suppose 0 = 6*r - 2*r + 4*p + 8, -r - 8 = 4*p. Factor 1/2*g**3 + g**2 + 1/2*g + r.
g*(g + 1)**2/2
Let m = 381 - 379. Find v, given that -4/3*v**m + 0 - 2/3*v**4 + 0*v + 2*v**3 = 0.
0, 1, 2
Let u(x) = 2*x**2 + 4*x + 8. Let l be u(-4). Let m be 9*3/l*6. Factor -m*g**3 + 0*g + 3/2*g**2 + 0.
-3*g**2*(9*g - 2)/4
Let r(k) be the third derivative of -k**9/900 - 3*k**8/2240 - k**7/2100 + k**4/6 + 3*k**2. Let c(i) be the second derivative of r(i). Solve c(o) = 0 for o.
-2/7, -1/4, 0
Let p(r) be the second derivative of r**5/15 - 2*r**4/9 + 2*r**3/9 + 31*r. Let p(w) = 0. What is w?
0, 1
Let g(v) be the first derivative of v**7/525 + v**6/150 + v**5/150 - 3*v**2/2 - 8. Let j(t) be the second derivative of g(t). Suppose j(n) = 0. What is n?
-1, 0
Let o(l) = -8*l**2 + 5*l**3 - 2*l**4 + 6*l**4 + 5*l**3. Let k(r) = -5*r**4 - 11*r**3 + 9*r**2. Let x(s) = 6*k(s) + 7*o(s). Find t, given that x(t) = 0.
0, 1
Let w(y) = 3*y**3 + 8*y**2 + 8*y - 8. Let k(i) = -i**3 - 3*i**2 - 3*i + 3. Suppose 3*b - 17 = -u, -2*u + 14 + 12 = 2*b. Let c(n) = u*k(n) + 4*w(n). Factor c(g).
(g - 1)**2*(g + 1)
Let g(u) be the third derivative of -1/240*u**5 + 3*u**2 + 0 + 0*u**3 + 1/48*u**4 + 0*u. Let g(v) = 0. Calculate v.
0, 2
Let a = -1/101 + 207/505. Factor -4/5*u**2 - a + 6/5*u + 6/5*u**4 - 4/5*u**3 - 2/5*u**5.
-2*(u - 1)**4*(u + 1)/5
Let j(c) be the third derivative of 1/105*c**7 + 0*c**3 + 0*c + 2*c**2 + 0 + 1/12*c**4 + 1/20*c**6 + 1/10*c**5. Factor j(n).
2*n*(n + 1)**3
Let a(w) be the third derivative of -9*w**5/20 - 11*w**4/8 - w**3 - 2*w**2. Determine p so that a(p) = 0.
-1, -2/9
Suppose -10*q + 10 = -20. Factor 0*f + 0*f**2 - 1/2*f**q + 0.
-f**3/2
Let t(u) = 9*u**4 - 20*u**3 + u**2 + 7*u - 3. Let d(q) = -80*q**4 + 180*q**3 - 8*q**2 - 64*q + 28. Let c(h) = -3*d(h) - 28*t(h). Factor c(j).
-4*j*(j - 1)**2*(3*j + 1)
Determine x, given that 1/5*x**2 + 0 + 0*x = 0.
0
Let t(v) be the second derivative of 6*v - 3*v**2 - 7/6*v**3 + 1/4*v**4 + 0. Factor t(b).
(b - 3)*(3*b + 2)
Factor 7*q + 9*q - 1 - 31 - 3*q**3 - q**3 + 8*q**2.
-4*(q - 2)**2*(q + 2)
Let y(i) = i**2 + 6*i - 10. Let q be y(-7). Let x be 4/q*(-6)/4. Let 2/11*p**3 - 2/11*p**4 + 0*p + 2/11*p**x - 2/11*p**5 + 0 = 0. Calculate p.
-1, 0, 1
Suppose -5*g + 22 = -0*w - w, -5*g + 26 = -3*w. Let p = 35 + -32. Factor 0*a + 2/5*a**5 - 2/5*a**g - 2/5*a**p + 2/5*a**2 + 0.
2*a**2*(a - 1)**2*(a + 1)/5
Factor -1/3*b**2 - 169/3 + 26/3*b.
-(b - 13)**2/3
Let r(h) be the second derivative of 9/20*h**5 + 1/2*h**3 - 3/4*h**4 - 1/10*h**6 + 0 + 4*h + 0*h**2. Solve r(b) = 0 for b.
0, 1
Let i(x) be the first derivative of -3/4*x**2 + 0*x + 5 + 3/8*x**4 + 0*x**3. Let i(b) = 0. What is b?
-1, 0, 1
Let g = -69989829968/2185 + 32031958. Let z = 2/437 - g. Suppose 0 + 0*v**3 - z*v**4 - 2/5*v**5 + 4/5*v**2 + 2/5*v = 0. What is v?
-1, 0, 1
Let l(b) be the third derivative of -b**5/60 + b**4/8 + 3*b**2. Factor l(d).
-d*(d - 3)
Suppose 2/3*o - 4/9 - 2/9*o**2 = 0. What is o?
1, 2
Let 0*h - 3/2*h**4 + 3*h**3 - 3/2*h**2 + 0 = 0. Calculate h.
0, 1
Let l(w) be the first derivative of w**4/20 - w**3/10 - 2*w - 3. Let s(z) be the first derivative of l(z). Factor s(y).
3*y*(y - 1)/5
Suppose -