3*t + 2)/11
Let a(z) be the first derivative of 0*z + 1 - 1/2*z**4 + 0*z**2 + 2/3*z**3. Factor a(n).
-2*n**2*(n - 1)
Suppose -2*h + 4 = 2*g, -4*h + 8 = -0*h + 5*g. Let 8/7*y**h + 2/7 - 10/7*y = 0. What is y?
1/4, 1
Suppose -2*u = y - 5*y + 8, -5*y + 4*u = -13. Let i be (y + -2)/((-7)/2). Determine n so that 0*n + 0 + 4/7*n**3 + i*n**2 + 2/7*n**4 = 0.
-1, 0
Let r = -206/3 - -1072/15. Let r*o**3 + 4/5*o**2 + 0*o + 0 - 14/5*o**5 - 4/5*o**4 = 0. What is o?
-1, -2/7, 0, 1
Let z(n) be the second derivative of n**4/78 + n**3/13 + 2*n**2/13 + 4*n. Solve z(p) = 0 for p.
-2, -1
Let z(g) be the second derivative of g**7/210 + g**6/30 + 9*g**5/100 + 7*g**4/60 + g**3/15 + 6*g. Factor z(d).
d*(d + 1)**3*(d + 2)/5
Let l(g) = -g - 21. Let x be l(-24). Determine z so that 2/5*z**x - 6/5*z**2 - 2*z + 2/5*z**4 - 4/5 = 0.
-1, 2
Let g(d) be the first derivative of d**6/3 + 4*d**5/5 - 2*d**4 - 4*d**3/3 + 3*d**2 + 5. Let g(u) = 0. Calculate u.
-3, -1, 0, 1
Suppose 3*y = 4*y - 2. Factor -1/4*u + 1/4*u**3 - 1/4*u**y + 1/4*u**4 + 0.
u*(u - 1)*(u + 1)**2/4
Let 4/5*w + 6/5*w**2 + 0 - 4/5*w**3 - 6/5*w**4 = 0. Calculate w.
-1, -2/3, 0, 1
Factor 3/8*t**2 - 3*t + 0.
3*t*(t - 8)/8
Let l(w) be the second derivative of w**5/160 + w**4/96 + 12*w. Let l(z) = 0. Calculate z.
-1, 0
Let n(p) be the third derivative of p**2 + 0*p - 1/3*p**3 + 1/60*p**5 - 1/24*p**4 + 0. What is x in n(x) = 0?
-1, 2
Let t be 4/((-8)/(-22))*-1. Let x = t - -11. Factor -4/7*a**3 - 2/7*a**4 + 0 + x*a + 0*a**2.
-2*a**3*(a + 2)/7
Suppose -3*m - 5*g = -1, 4*m + 4*g = -0*g + 4. Factor 12*z**m - 11*z**4 - 8*z - 9*z**3 + 4*z**5 - z**4 + 13*z**3.
4*z*(z - 2)*(z - 1)**2*(z + 1)
Let l(n) be the third derivative of -n**7/70 + 3*n**6/40 + 9*n**5/20 - 27*n**4/8 + n**2 + 4. Determine d, given that l(d) = 0.
-3, 0, 3
Let h(a) = a**3 - 2*a + 3. Let s be h(-3). Let t be ((-2)/(-3))/((-4)/s). Let k**4 - 3*k**4 - k**t + 3*k**3 = 0. Calculate k.
0, 1
Suppose 5*x - 9 = -r + 9, x + 2 = -3*r. Let q = r - -8/3. Factor 2/3*u**2 + 2/3*u - 2/3*u**4 + 0 - q*u**3.
-2*u*(u - 1)*(u + 1)**2/3
Let h(r) be the second derivative of r**6/540 + 3*r**2/2 - r. Let x(l) be the first derivative of h(l). Factor x(b).
2*b**3/9
Let f(h) be the third derivative of h**8/252 + 2*h**7/315 - h**6/30 - h**5/9 - h**4/9 + 3*h**2. Factor f(a).
4*a*(a - 2)*(a + 1)**3/3
Let z = 1 + -2. Let m be (-9)/12 - (z + 0). Let 0 + m*o**2 + 0*o - 1/4*o**3 = 0. Calculate o.
0, 1
Suppose -4/7*c**2 + 0 + 4/7*c**3 - 8/7*c = 0. Calculate c.
-1, 0, 2
Suppose d - 7 = 2*v + 2, 3*v = 3*d - 18. Solve 1/5*c**4 - 3/5*c**2 - 4/5 + 8/5*c - 2/5*c**d = 0.
-2, 1, 2
Factor 8/3*u**2 - 4/3*u + 0 - 4/3*u**3.
-4*u*(u - 1)**2/3
Let w(n) be the first derivative of -n**7/840 - n**6/240 - n**5/240 - n**2/2 + 2. Let v(f) be the second derivative of w(f). Factor v(x).
-x**2*(x + 1)**2/4
Let u(j) = -5*j + 12. Let w be u(2). Suppose -4/7*c - 4/7*c**3 + 0 - 8/7*c**w = 0. What is c?
-1, 0
Suppose 0 = 2*c + 2*c + x - 11, x - 3 = 0. Let l(g) be the second derivative of 1/4*g**c + 0*g**3 + 0 - 1/24*g**4 - g. What is o in l(o) = 0?
-1, 1
Let h(s) be the second derivative of -s**5/15 + s**4/3 + 2*s**3/9 - 2*s**2 - 35*s. Factor h(m).
-4*(m - 3)*(m - 1)*(m + 1)/3
Let r(d) be the first derivative of d**4/36 + d**3/27 - d**2/9 - 13. Factor r(j).
j*(j - 1)*(j + 2)/9
Let g be -1 + 0 - -6*1/2. Determine c, given that -6/5 + 3/5*c + 3/5*c**g = 0.
-2, 1
Suppose -5 = 2*v + 3*n, 3*v + 4*n + 8 = v. Factor t**5 - 5*t**3 + t**5 - 9*t**3 + 8*t**3 + 4*t**v.
2*t**2*(t - 1)**2*(t + 2)
Let u(h) be the first derivative of h**4 - 4*h**3 + 4*h**2 - 1. Suppose u(q) = 0. Calculate q.
0, 1, 2
Let w = 2/31 + 118/93. Suppose 14/3*h - w + 8/3*h**2 - 4/3*h**4 - 28/3*h**3 + 14/3*h**5 = 0. What is h?
-1, 2/7, 1
Let o(x) be the first derivative of -x**3 + 3*x**2/2 + 18*x + 15. Suppose o(b) = 0. What is b?
-2, 3
Let n(x) = 1 - 6*x**2 + x - x. Let m(i) = 5*i**2 - 1. Let p be 88/(-20) + 6/(-10). Let r(j) = p*m(j) - 4*n(j). Factor r(q).
-(q - 1)*(q + 1)
Let a(m) be the first derivative of 0*m**4 + 0*m**2 - 2*m - 2 - 2/5*m**5 + 4/3*m**3. Factor a(d).
-2*(d - 1)**2*(d + 1)**2
Let t(o) = 7*o**4 + 14*o**3 - 13*o**2 - 5*o - 3. Let x(r) = 36*r**4 + 70*r**3 - 66*r**2 - 26*r - 14. Let n(l) = -28*t(l) + 6*x(l). Let n(m) = 0. Calculate m.
-2, -2/5, 0, 1
Let m = 2 + 0. Factor m*i + 0*i**2 - i**2 - i**3 + 2 - 2.
-i*(i - 1)*(i + 2)
Let c be ((-6)/8)/(4 + (-71)/16). Determine o so that c*o**2 - 8/7*o - 8/7*o**3 + 2/7*o**4 + 2/7 = 0.
1
Let b(n) be the second derivative of n**5/5 - n**4 + 8*n**2 - 36*n. Factor b(r).
4*(r - 2)**2*(r + 1)
Let j(x) be the second derivative of -x**6/165 + 3*x**5/110 - x**4/22 + x**3/33 + 14*x. Determine k so that j(k) = 0.
0, 1
Let j(i) be the third derivative of -1/30*i**5 - 1/4*i**4 - 1/3*i**3 + 0*i - 2*i**2 + 1/20*i**6 + 0 + 2/105*i**7. Determine m, given that j(m) = 0.
-1, -1/2, 1
Let h be 3 + -4 + (-8)/(-2). Let b(v) be the third derivative of 0*v + 3*v**2 + 0*v**h + 1/42*v**4 + 0 + 3/140*v**6 + 3/70*v**5. Find k, given that b(k) = 0.
-2/3, -1/3, 0
Let g(b) be the second derivative of -3*b**7/7 - 2*b**6 - 37*b**5/10 - 10*b**4/3 - 4*b**3/3 + 4*b - 11. Factor g(j).
-2*j*(j + 1)**2*(3*j + 2)**2
Let t(r) = -6*r**2 + 8*r + 4. Let v(d) = -7*d**2 + 9*d + 5. Let u(b) = 5*t(b) - 4*v(b). Determine i so that u(i) = 0.
0, 2
Let f = 2/15 - -8/15. Let t(n) be the first derivative of -3 + 0*n - 4*n**4 + 32/5*n**5 + f*n**3 + 0*n**2. Find d, given that t(d) = 0.
0, 1/4
Let j(o) be the third derivative of o**7/350 + o**6/60 + o**5/75 - o**4/15 - o**2. Factor j(h).
h*(h + 2)**2*(3*h - 2)/5
Factor 0 - 3/4*x**3 - 3/4*x**2 + 0*x.
-3*x**2*(x + 1)/4
Let v = -11 + 11. Let c(b) be the third derivative of v + b**2 + 1/8*b**4 + 1/120*b**6 + 1/20*b**5 + 0*b + 1/6*b**3. Factor c(f).
(f + 1)**3
Let s(n) = 11*n**2 + 17*n + 1. Let j(a) = 6*a**2 + 9*a. Let v(r) = 5*j(r) - 3*s(r). Determine i so that v(i) = 0.
-1
Let l(i) be the third derivative of i**8/6720 - i**7/420 + i**6/60 + i**5/15 - 7*i**2. Let s(q) be the third derivative of l(q). Factor s(f).
3*(f - 2)**2
Let n be (2 - (-9)/(-4))*2/(-8). Let k(l) be the second derivative of 0 - 1/8*l**2 + 1/8*l**3 + 1/80*l**5 + 2*l - n*l**4. Factor k(y).
(y - 1)**3/4
Let r(n) be the second derivative of 7*n**5/5 + 16*n**4/3 + 22*n**3/3 + 4*n**2 + 7*n. Factor r(u).
4*(u + 1)**2*(7*u + 2)
Factor 2/5*t**2 + 0 + 4/5*t - 2/5*t**4 - 4/5*t**3.
-2*t*(t - 1)*(t + 1)*(t + 2)/5
Let z(u) be the third derivative of -u**8/336 + u**7/35 - u**6/10 + 2*u**5/15 + 5*u**2. Solve z(r) = 0.
0, 2
Let p(r) be the second derivative of -r**7/14 - 3*r**6/10 - 3*r**5/10 - 12*r. Let p(b) = 0. Calculate b.
-2, -1, 0
Let a(p) be the second derivative of -1/90*p**6 - p + 0*p**2 + 0 + 0*p**3 - 1/36*p**4 - 1/30*p**5. Factor a(g).
-g**2*(g + 1)**2/3
Let s(j) be the third derivative of -j**5/240 + j**4/96 + 28*j**2. Solve s(o) = 0 for o.
0, 1
Let p = 10 - 2. Find z, given that -22*z**2 + 22*z**4 - p*z**5 + 0*z + 26*z**3 - z - 22*z**5 + 5*z = 0.
-1, 0, 1/3, 2/5, 1
Let d be (-1)/(-2)*(12/(-3) + 5). Find y such that y**2 + 0*y**3 - y**4 + 0 + 1/2*y**5 - d*y = 0.
-1, 0, 1
Let k(u) = u**4 - 3*u**2 - u**3 - 1 + 2*u**4 + u**4 + u + 3. Let s(j) = -5*j**4 + 2*j**3 + 4*j**2 - 2*j - 3. Let d(i) = -4*k(i) - 3*s(i). Factor d(f).
-(f - 1)*(f + 1)**3
Let z be (-2)/4*(-6 + 1 - -5). Let 2/11*j**4 + 0 + 2/11*j**5 + z*j**2 + 0*j + 0*j**3 = 0. Calculate j.
-1, 0
Suppose 0*v + 3*v - 6 = 0. Let j(b) be the second derivative of 0 + 2/15*b**3 - 2*b + 1/5*b**v + 1/30*b**4. Factor j(y).
2*(y + 1)**2/5
Let k(c) = 4*c**2 + 10*c - 6. Suppose 3*m - 15 = -0*m. Let g(f) = 3*f**2 + 9*f - 5. Let p(l) = m*k(l) - 6*g(l). Factor p(r).
2*r*(r - 2)
Factor -3/8*p**4 + 0*p**3 + 9/8 - 3*p + 9/4*p**2.
-3*(p - 1)**3*(p + 3)/8
Let a(c) = 3*c**2 - 45*c + 33. Let d(b) = -b**2 + 11*b - 8. Let v(k) = -2*a(k) - 9*d(k). Factor v(g).
3*(g - 2)*(g - 1)
Let c be 4/(-18) + 77/(-9). Let m = c - -9. Factor -m*j**2 - 2/9*j + 0.
-2*j*(j + 1)/9
Let p(i) be the second derivative of 1/20*i**5 + 0 - 1/2*i**2 + i + 1/12*i**4 - 1/6*i**3. Suppose p(y) = 0. What is y?
-1, 1
Let d(z) be the second derivative of 0 - 2*z - 1/2*z**4 - 9/20*z**5 + 0*z**2 - 1/6*z**3. Find u, given that d(u) = 0.
-1/3, 0
Factor r**4 + r**2 - 2*r**4 + 2*r**4 + 0*r**4 + 2*r**3.
r**2*(r + 1)**2
Let w be (-2)/1 + (-21)/(-3). Let p(t) be