Suppose 4*f - 3 = 3*f. Suppose -f*x = -x. Factor x + 2/5*l + 2/5*l**2.
2*l*(l + 1)/5
Let l be 3 - 2 - (0 - 2). Suppose -f + l*v - 9 = 0, v - 6 = -f - 3. Factor -3*j - 2 - 4*j**2 - j + f + 2*j**2.
-2*(j + 1)**2
Let q(s) be the third derivative of -s**5/480 - s**4/48 - s**3/12 - 10*s**2. Factor q(f).
-(f + 2)**2/8
Let y(k) be the first derivative of -3*k**4/4 + k**3 + 3*k**2/2 - 3*k + 16. Factor y(o).
-3*(o - 1)**2*(o + 1)
Factor -6/5*o + 2/5 - 2/5*o**3 + 6/5*o**2.
-2*(o - 1)**3/5
Let b(l) be the second derivative of 45*l**7/14 - 9*l**6 - 9*l**5/2 + 55*l**4/3 - 85*l**3/6 + 5*l**2 + 11*l. Let b(t) = 0. Calculate t.
-1, 1/3, 2
Let b be (-2)/(-4) - 11/(6600/296). Let f(a) be the third derivative of b*a**6 + 0*a - 1/30*a**4 + 1/15*a**3 + 0 + a**2 + 0*a**5 - 1/525*a**7. Factor f(p).
-2*(p - 1)**3*(p + 1)/5
Let q(j) = j**4 + j**3 + j**2 - 1. Let p(o) = -7*o**4 - 2*o**3 - 11*o**2 + 2*o + 6. Let b(z) = p(z) + 6*q(z). Find v such that b(v) = 0.
0, 1, 2
Suppose -394*j = -400*j. Suppose 0*c + j + 2/3*c**3 - 4/3*c**2 = 0. What is c?
0, 2
Let f(z) = -3*z**3 + z + 3*z - 5*z + 0*z. Let j be ((-3)/2)/(6/(-16)). Let p(d) = -d**3. Let m(v) = j*p(v) - f(v). What is o in m(o) = 0?
-1, 0, 1
Let u be 3*(-3 - 52/(-12)). Let i(j) be the first derivative of -5/8*j**u - 5/6*j**3 - 5/8*j**2 - 1/4*j**5 - 1/24*j**6 - 1/4*j + 2. Factor i(v).
-(v + 1)**5/4
Let v(f) be the second derivative of f**5/40 + f**4/8 + f**3/6 + 6*f. Factor v(z).
z*(z + 1)*(z + 2)/2
Let y(j) = j**2 - 6*j - 6. Let g be y(9). Let s = -21 + g. Let -3*l - 3/2*l**3 + s + 9/2*l**2 = 0. Calculate l.
0, 1, 2
Let p(t) be the second derivative of 3*t**5/20 - 8*t. Factor p(h).
3*h**3
Let g(j) be the first derivative of 1/8*j**4 + 0*j**3 - 2 + 0*j**2 + 0*j. What is n in g(n) = 0?
0
Find w such that -4/3*w**5 + 0 + 11/3*w**2 - 1/3*w**4 + 4*w**3 + 2/3*w = 0.
-1, -1/4, 0, 2
Let n = -5 + 5. Let j(r) be the third derivative of 1/12*r**4 + 0*r**3 + n*r - r**2 + 0 + 1/30*r**5. Let j(y) = 0. Calculate y.
-1, 0
Let d(l) = 10*l**2 - 24*l - 6. Let c(b) = -29*b**2 + 72*b + 17. Let g(u) = -6*c(u) - 17*d(u). Factor g(j).
4*j*(j - 6)
Let o(j) be the third derivative of j**8/40320 - j**7/10080 - j**6/720 - j**5/20 + 2*j**2. Let k(n) be the third derivative of o(n). Factor k(i).
(i - 2)*(i + 1)/2
Let a(d) be the first derivative of -d**3/21 - d**2/2 + 8*d/7 + 9. Solve a(r) = 0 for r.
-8, 1
Let x(b) be the first derivative of b**3/3 - 2*b**2 + 3*b + 15. Factor x(k).
(k - 3)*(k - 1)
Let q(w) = -w**2 - 4*w + 9. Let j be q(-5). Factor 1/2*r**j - 2*r + 3*r**2 - 2*r**3 + 1/2.
(r - 1)**4/2
Let m(y) be the third derivative of -1/12*y**4 + 1/15*y**5 + 0*y**3 - 1/60*y**6 + y**2 + 0 + 0*y. Determine u, given that m(u) = 0.
0, 1
Let 0 + 1/3*u**4 + u**2 + 1/3*u + u**3 = 0. Calculate u.
-1, 0
Determine m, given that -32/5*m**2 - 6/5*m**3 + 8/5*m**5 + 0 + 8/5*m + 22/5*m**4 = 0.
-2, 0, 1/4, 1
Factor -2*n - 8 - 2 + 4*n**2 + 6 + 2*n**3.
2*(n - 1)*(n + 1)*(n + 2)
Let r be 39/15 + (-20)/(-50). Factor 1/2*w**2 - 1/2*w**4 + w**r + 0 - w.
-w*(w - 2)*(w - 1)*(w + 1)/2
Let r(y) = -3*y**2 - 6*y + 9. Let v(p) be the third derivative of -p**5/20 - p**4/4 + 3*p**3/2 + 6*p**2. Let t(d) = -3*r(d) + 2*v(d). Factor t(j).
3*(j - 1)*(j + 3)
Suppose 8*r - 7 = 4*l + 3*r, -2 = 5*l - 4*r. Factor 3*m**l + 9*m - 3*m**2 + 3*m**2.
3*m*(m + 3)
Suppose 3*l - l = 4. Let -6*x**4 - 11*x**3 + l*x**2 + 8*x**3 + x**2 = 0. Calculate x.
-1, 0, 1/2
Let i(j) = -j**2 - 2*j + 24. Let w be i(4). Factor 18/5*y**2 + w - 4/5*y - 24/5*y**3 + 2*y**4.
2*y*(y - 1)**2*(5*y - 2)/5
Let k(f) be the first derivative of -f**9/756 + f**8/420 + f**7/210 - f**6/90 + 2*f**3 - 6. Let c(a) be the third derivative of k(a). Factor c(l).
-4*l**2*(l - 1)**2*(l + 1)
Let i = -28/3 - -39/4. Let v = i - 1/12. Factor 4/3 + v*b**2 + 4/3*b.
(b + 2)**2/3
Suppose 3*j + j + d - 12 = 0, -j - 4*d + 18 = 0. Let q be 11/12 - (-2)/(-8). Factor -q*s**j + 0 + 2/3*s.
-2*s*(s - 1)/3
Factor -3/5*l**3 + 0 + 1/5*l**4 + 3/5*l - 1/5*l**2.
l*(l - 3)*(l - 1)*(l + 1)/5
Let g(w) be the first derivative of w**7/168 + w**6/40 + 3*w**5/80 + w**4/48 + 6*w + 1. Let f(j) be the first derivative of g(j). Suppose f(q) = 0. What is q?
-1, 0
Let y be (6/15)/((-1)/10). Let m = y - -6. Factor -m*a**2 - a + 0*a + a**2.
-a*(a + 1)
Let z(m) = 2*m**2 - m + 1. Suppose 0 = -2*n + 4*n - 2. Let v be z(n). Factor 3/4*j**3 - 3/4*j**v + 0 - 1/4*j**4 + 1/4*j.
-j*(j - 1)**3/4
Determine b, given that 2/3 - 27*b**4 - 51/2*b**3 + 16/3*b + 37/6*b**2 = 0.
-1, -2/9, 1/2
Factor 9/2 - 3/2*x**2 + 13*x.
-(x - 9)*(3*x + 1)/2
Let a(p) = -3*p**2 - 2*p - 1. Let y be a(-1). Let m be (-3 - 23/(-9))/y. Solve 2/9*d**2 + 0 - m*d = 0.
0, 1
Let r = -98 + 98. Factor 2/3*k**3 + 0*k + 2/3*k**4 + 0 + r*k**2.
2*k**3*(k + 1)/3
Let y(r) be the third derivative of 3*r**5/5 + 8*r**4/3 - 8*r**3/3 - 5*r**2. Factor y(n).
4*(n + 2)*(9*n - 2)
Let r(t) = -t - 10. Let i be r(-12). Let -7*m**2 + 6*m**i + 9*m + 4*m**2 = 0. What is m?
-3, 0
Factor 4/7*w**3 + 0 - 4/7*w**2 - 8/7*w.
4*w*(w - 2)*(w + 1)/7
Let w(s) = s**3 + 6*s**2 - 10*s - 7. Let r be w(-7). Solve 4*t**2 - 12 - 5*t - 2*t**2 + r = 0.
1/2, 2
Let q(y) be the third derivative of -y**8/392 - y**7/98 - y**6/140 - 41*y**2. Factor q(a).
-3*a**3*(a + 2)*(2*a + 1)/7
Suppose -4*n = -13 - 15. Let l(k) = 2*k. Let h(a) = a**2 - 7*a - 1. Let t(f) = n*l(f) + 2*h(f). Find o, given that t(o) = 0.
-1, 1
Let n(j) be the first derivative of -6 + j**3 + 9/2*j**2 + 0*j. Factor n(s).
3*s*(s + 3)
Let f be 2 - 3/((-192)/(-124)). Let g(n) be the first derivative of f*n**4 + 0*n**3 - 1/8*n**2 + 0*n - 3. Solve g(j) = 0 for j.
-1, 0, 1
Let g be 1/(24/(-4))*-1347. Let t = g + -220. Factor 3*r - 1/2 + 2*r**3 - t*r**2.
(r - 1)**2*(4*r - 1)/2
Let u(i) be the third derivative of -4*i**2 + 1/525*i**7 + 0*i**5 + 0 - 1/15*i**3 + 0*i - 1/150*i**6 + 1/30*i**4. Determine t so that u(t) = 0.
-1, 1
Let v(u) be the second derivative of -u**6/40 + 3*u**5/20 - u**4/4 + u**2/2 - 3*u. Let p(x) be the first derivative of v(x). Find c such that p(c) = 0.
0, 1, 2
Let h = -25 - -6. Let c = h - -19. Determine x, given that -1/2*x - 7/4*x**4 + 3*x**3 - 3/4*x**2 + c = 0.
-2/7, 0, 1
Let w = 4 + -10. Let n = w - -8. Factor -d**2 + 2*d**4 - d**n + 0*d - 4*d**3 + 4*d.
2*d*(d - 2)*(d - 1)*(d + 1)
Suppose 4*a + 16 = 8*a. Factor -x**2 + 6*x**4 - 5*x**2 - a*x**5 - 3*x + 3*x**5 + 4*x**5.
3*x*(x - 1)*(x + 1)**3
Solve 4*b**2 + 64/3 + 16*b + 1/3*b**3 = 0 for b.
-4
Factor 2 - 21*q - 4 + 9*q + 10 + 4*q**3.
4*(q - 1)**2*(q + 2)
Let r(p) = 3*p**2 - 2*p + 1. Let m be r(1). Suppose -5*x = 6 - 26. Determine a, given that a**3 + 5 - a + 0*a**m - x - a**2 = 0.
-1, 1
Find j such that -4/5*j**2 + 8/15*j - 2/15*j**4 + 16/15 - 2/3*j**3 = 0.
-2, 1
Factor n**3 - 1/2*n + 0 + 0*n**4 - 1/2*n**5 + 0*n**2.
-n*(n - 1)**2*(n + 1)**2/2
Let o = -46 + 27. Let z = 21 + o. Solve 6*p + 5/2*p**z + 2 = 0 for p.
-2, -2/5
Let i(v) be the third derivative of v**7/1365 - v**5/130 + v**4/78 + 3*v**2. Factor i(l).
2*l*(l - 1)**2*(l + 2)/13
What is l in -16/7*l - 1/7*l**3 + 8/7*l**2 + 0 = 0?
0, 4
Let u = 9/1009 - -96747/13117. Factor 2*g + 72/13*g**3 + 2/13 + u*g**2.
2*(g + 1)*(6*g + 1)**2/13
Let u(g) be the first derivative of -2 + 1/22*g**4 + 4/33*g**3 - 4/11*g - 1/11*g**2. Suppose u(f) = 0. What is f?
-2, -1, 1
Let p(z) = -5*z**4 + 3*z**3 + 3*z**2 + 4*z + 3. Let y(f) = -24*f**4 + 14*f**3 + 16*f**2 + 20*f + 14. Let g(v) = 28*p(v) - 6*y(v). Suppose g(m) = 0. What is m?
-1, 0, 2
Let k = -33 - -39. Let n(i) be the third derivative of -4*i**2 - 1/10*i**5 + i**3 + 0 + 0*i + 1/8*i**4 - 1/40*i**k. Suppose n(y) = 0. Calculate y.
-2, -1, 1
Let i(m) be the third derivative of 0*m + 1/35*m**7 + 0*m**4 - 1/168*m**8 + 1/30*m**5 + 0*m**3 - 1/20*m**6 + 4*m**2 + 0. Factor i(x).
-2*x**2*(x - 1)**3
Suppose 8/3 - 28*i + 244/3*i**2 - 56*i**3 = 0. Calculate i.
1/6, 2/7, 1
Let f(a) = a**2 + 5*a - 10. Let t be f(-7). Let l(s) be the third derivative of -1/24*s**t + 0 + 2*s**2 - 1/3*s**3 + 0*s + 1/60*s**5. Factor l(i).
(i - 2)*(i + 1)
Let p(n) be the third derivative of n**8/1344 + n**7/840 - n**6/480 - n**5/240 - n**2. Factor p(y).
y**2*(y - 1)*(y + 1)**2/4
Let y(p) be the third derivative of p**5/40 - p**4/8 + p**2. Factor y(c).
3*c*(c - 2)/2
What is c in 0*c**2 + 0 - 1/5*c**3 + 4/5*c = 0?
-2, 0, 2
Let y(a) be the third derivative of 0 - 1/160*a**6 + 1/40