1, 1
Suppose 0 = 5*f - 3*j - 28, -5*j - 12 - 3 = -2*f. Let r = 7 - f. Factor -3*d**2 + 2*d**2 - d**3 + 2*d**r.
-d**2*(d - 1)
Let y be (-298)/(-45) - 6/27*1. Factor -y*d + 14/5*d**2 + 8/5.
2*(d - 2)*(7*d - 2)/5
Let j = 10 - 5. Let v(k) be the second derivative of 1/3*k**3 - 2*k - 1/10*k**j + 1/6*k**4 + 0 - k**2. Factor v(u).
-2*(u - 1)**2*(u + 1)
Let x(s) be the second derivative of 1/8*s**2 - 1/24*s**4 + 0*s**5 + 0*s**3 + 0 + 1/120*s**6 - 4*s. Factor x(u).
(u - 1)**2*(u + 1)**2/4
Suppose 0 = -4*j + 4*x + 24, -j = 3*x + 15 - 5. Suppose -15*w = -5*w. Factor w + 1/5*k**3 + 0*k**j - 1/5*k.
k*(k - 1)*(k + 1)/5
Let s(r) = -13*r**2 - r. Let u be s(-1). Let z be -3*1*16/u. Factor 2*p**3 + 0*p**3 + p**3 - p**z + p - 3*p**2.
-p*(p - 1)**3
Let q(v) be the second derivative of v**4/27 - 8*v**3/27 + 8*v**2/9 + 13*v. Factor q(k).
4*(k - 2)**2/9
Let s(u) be the second derivative of 0*u**3 + 1/15*u**6 + u**2 + 0 + 0*u**5 - 1/3*u**4 + 2*u. Suppose s(m) = 0. Calculate m.
-1, 1
Let w = 2/917 - -12816/10087. Factor 4/11*l**2 + 0*l + 0 + 18/11*l**3 + w*l**4.
2*l**2*(l + 1)*(7*l + 2)/11
Let f(g) be the third derivative of -g**5/80 - g**4/16 - g**3/8 + 7*g**2. Factor f(j).
-3*(j + 1)**2/4
Let i(b) be the second derivative of -b**7/315 + 2*b**6/75 - 13*b**5/150 + 2*b**4/15 - 4*b**3/45 + 5*b. Solve i(r) = 0.
0, 1, 2
Let g(d) be the second derivative of -d**8/20160 + d**7/3780 - d**6/2160 - d**4/4 - 6*d. Let h(n) be the third derivative of g(n). Factor h(s).
-s*(s - 1)**2/3
Let c(u) = u - 2. Let f be c(6). Factor d - 2*d**3 - 1 + d + 2*d**4 - d**f.
(d - 1)**3*(d + 1)
Suppose v + 2*m - 8 = -0*v, -5*v = -4*m + 16. Let r(x) be the first derivative of -x**2 + v*x - 1 - 2/3*x**3. Determine d, given that r(d) = 0.
-1, 0
Let i(f) be the third derivative of -f**7/12600 + f**6/3600 - f**4/12 - f**2. Let n(x) be the second derivative of i(x). Factor n(d).
-d*(d - 1)/5
Let 4*a**4 + 43 + 24*a**2 + 57 + 32*a**3 + 0*a**4 - 160*a = 0. Calculate a.
-5, 1
Let o(j) be the second derivative of 1/8*j**4 + 1/120*j**6 - j**2 + 0 - 1/6*j**3 - 1/20*j**5 + j. Let b(i) be the first derivative of o(i). Factor b(u).
(u - 1)**3
Let r(l) be the third derivative of 0 + 5*l**2 + 0*l**3 + 1/240*l**5 + 0*l + 0*l**4 - 1/480*l**6. Solve r(h) = 0.
0, 1
Factor 16/5*s + 32/5 + 2/5*s**2.
2*(s + 4)**2/5
Let n be 56/(-140)*5/4*-1. Let y(u) be the first derivative of 2/3*u**6 + 0*u + 1/3*u**3 + 9/4*u**4 - n*u**2 - 3 + 11/5*u**5. Let y(z) = 0. Calculate z.
-1, 0, 1/4
Let q(n) be the third derivative of -5/18*n**5 - 5/18*n**4 + 4*n**2 + 0 + 0*n - 1/9*n**3. Factor q(t).
-2*(5*t + 1)**2/3
Let d be -1 + 2 - (-7)/1. Factor -d*s**3 + 25*s**2 + 15*s**2 + 8*s - 3*s**3 + 45*s**3 + 8*s**4.
2*s*(s + 2)**2*(4*s + 1)
Let p(h) be the second derivative of -1/4*h**4 + 5*h + 0 + 3/2*h**2 + 0*h**3. Factor p(x).
-3*(x - 1)*(x + 1)
Suppose 3*z - 6 = -0*z. Suppose 1/2 + 1/2*r**5 - 3/2*r + r**z - 3/2*r**4 + r**3 = 0. What is r?
-1, 1
Let u(a) = -a**2 + 2*a - 1. Suppose 0 = 5*l - 3*l + 4. Let y(r) = -r + 1. Let n(g) = l*y(g) - 2*u(g). Factor n(o).
2*o*(o - 1)
Factor 4*k**2 + 3*k**5 + 8*k - 6*k**3 - 8*k - k**5.
2*k**2*(k - 1)**2*(k + 2)
Let z be -3 + 3*1/1. Let a be 0 + (z/(-1))/(-4). Factor 0*x - 1/3*x**4 + 1/3*x**3 - 1/3*x**5 + 1/3*x**2 + a.
-x**2*(x - 1)*(x + 1)**2/3
Let y(w) be the first derivative of w**6/1440 - w**5/240 + 2*w**3 + 2. Let j(r) be the third derivative of y(r). Factor j(f).
f*(f - 2)/4
Factor -7/2 - 1/4*v**2 + 9/4*v.
-(v - 7)*(v - 2)/4
Let q(g) be the first derivative of -g**4/6 - 2*g**3/3 - g**2 + 5*g + 1. Let m(f) be the first derivative of q(f). Factor m(x).
-2*(x + 1)**2
Suppose -1/5*v**3 + 1/5*v + 0*v**2 + 0 = 0. What is v?
-1, 0, 1
Let s be ((-5 + 3)/4)/(-1). Factor 0 + h**3 - 5/4*h**2 + s*h - 1/4*h**4.
-h*(h - 2)*(h - 1)**2/4
Let y be (-24)/5*50/15. Let u be (y/10)/(3/(-5)). Solve -2/3*c - 8/3*c**4 - 2*c**5 + 4*c**2 + u*c**3 - 4/3 = 0.
-1, 2/3, 1
Let a(l) be the first derivative of 0*l**2 - 2/3*l**3 + 0*l + 1/24*l**4 + 1 + 1/360*l**6 - 1/60*l**5. Let o(f) be the third derivative of a(f). Factor o(v).
(v - 1)**2
Let v(k) be the third derivative of k**7/560 + k**6/240 + k**3/6 + 3*k**2. Let q(j) be the first derivative of v(j). Determine r, given that q(r) = 0.
-1, 0
Let u(w) be the first derivative of 1/480*w**6 - 1/480*w**5 + 0*w**4 - w**3 + 0*w**2 + 0*w + 1. Let a(i) be the third derivative of u(i). Solve a(b) = 0.
0, 1/3
Let i be (132/28)/(-2 + 3). Let g = -31/7 + i. Factor -2/7*h + g*h**3 + 0*h**2 + 0.
2*h*(h - 1)*(h + 1)/7
Let q = 15 - 11. Solve -j**4 - 7*j + 4*j**q + j**4 - 4*j**2 + 5*j + 2*j**5 = 0.
-1, 0, 1
Let d(l) = l**2 - l - 4. Let m be d(3). Let p be (-2)/4 - (-11)/2. Determine y, given that y + 0*y - 3*y - y**2 + 5*y**m + 2*y**p - 4*y**4 = 0.
-1, 0, 1
Let a(z) be the second derivative of -z**6/90 + z**5/30 - z**4/36 + 7*z. Factor a(w).
-w**2*(w - 1)**2/3
Let u(v) = -5*v**2 - 4*v - 16. Let g(z) = 14*z**2 + 13*z + 48. Let i(r) = -4*g(r) - 11*u(r). What is l in i(l) = 0?
-4
Let g be (44/(-20) - -2)/((-4)/8). Find o such that 4/5*o - 2/5 - g*o**2 = 0.
1
Let i(j) = j**3 + j - 1. Let x be i(2). Factor -11*p**2 + 6*p + 3 + 5*p**2 + x*p**2.
3*(p + 1)**2
Factor -j - 2 + 2*j**2 + 8*j**2 - 9*j**2.
(j - 2)*(j + 1)
Let t(h) = h**2 - 3*h - 7. Let d be t(6). Let z = -7 + d. Let v(g) = 6*g**2 + 6*g - 8. Let o(b) = -13*b**2 - 13*b + 17. Let x(l) = z*o(l) + 9*v(l). Factor x(p).
2*(p - 1)*(p + 2)
Let w = -22 + 34. Let -3*m**2 - 14*m**2 + 2 + 3*m**2 + w*m**3 = 0. Calculate m.
-1/3, 1/2, 1
Let z(w) be the second derivative of -w**7/105 + w**6/60 + w**5/15 - 3*w**2/2 - 2*w. Let j(u) be the first derivative of z(u). What is d in j(d) = 0?
-1, 0, 2
Let s = 58 - 57. Let b(u) be the first derivative of -s + 0*u**2 - 2/15*u**3 + 1/20*u**4 + 0*u. Find p such that b(p) = 0.
0, 2
Let y(d) be the second derivative of 1/12*d**4 + 0 + 0*d**2 + 0*d**3 - d. Factor y(t).
t**2
Let h be ((4 - 10) + 5)*(-2 + 2). Factor h*j + 1/3*j**2 + 0.
j**2/3
Let x(b) be the third derivative of 0 + 0*b + 0*b**3 + 1/30*b**5 + 1/18*b**4 + 2*b**2 + 1/180*b**6. Solve x(c) = 0.
-2, -1, 0
Let r be ((-1)/120)/((-2)/4)*1. Let u(k) be the third derivative of 3*k**2 + 0*k - r*k**5 - 1/12*k**4 + 1/120*k**6 + 0*k**3 + 0. Find c, given that u(c) = 0.
-1, 0, 2
Let u(q) = q**3 - q**2 - q + 1. Let w(x) = x**4 - 6*x**3 + 12*x**2 + 10*x - 9. Let m(n) = 18*u(n) + 2*w(n). Factor m(p).
2*p*(p + 1)**3
Factor 10*n**3 - 10*n + 4*n**2 - n**2 + 12*n**2 - 15*n**4.
-5*n*(n - 1)*(n + 1)*(3*n - 2)
Determine q so that -7*q - 7*q**2 + 4*q**2 + q**2 - 3*q = 0.
-5, 0
Suppose 3 + 7*h - 3*h**3 - 5*h**2 + 4*h**3 + 10*h**2 = 0. Calculate h.
-3, -1
Let p(q) be the first derivative of 3 - 49/15*q**3 - 9/5*q - 21/5*q**2. Factor p(j).
-(7*j + 3)**2/5
Let v(x) be the third derivative of -x**8/10080 - x**7/1260 - x**5/10 + 4*x**2. Let b(f) be the third derivative of v(f). Factor b(q).
-2*q*(q + 2)
Let f(p) = -21*p**2 + 36*p + 9. Let s(d) = -21*d**2 + 36*d + 10. Let r(c) = -2*f(c) + 3*s(c). Factor r(z).
-3*(z - 2)*(7*z + 2)
Suppose -5*h - 5*s = -20, 3*s = 7*s. Let z = h + -2. Factor 3*r**z + 0*r + r + r**2.
r*(4*r + 1)
Let t be (3/7)/(-3 - (4 + -8)). Suppose -6/7*i - t*i**2 - 3/7 = 0. What is i?
-1
Suppose 2/7*m - 2/7*m**3 - 10/7 + 10/7*m**2 = 0. Calculate m.
-1, 1, 5
Let z = -22/861 - -3/41. Let c(m) be the second derivative of -1/14*m**4 + 0*m**2 + 2*m + 0 - z*m**3 - 3/70*m**5 - 1/105*m**6. Factor c(x).
-2*x*(x + 1)**3/7
Let c(f) = 14*f**5 - 9*f**4 - 5*f**2 + 8. Let q(z) = 9*z**5 - 6*z**4 - 3*z**2 + 5. Let s(g) = 5*c(g) - 8*q(g). Factor s(y).
-y**2*(y - 1)**2*(2*y + 1)
Let p(k) be the first derivative of -k**5/40 + k**3/12 - 4*k - 1. Let j(q) be the first derivative of p(q). Determine h, given that j(h) = 0.
-1, 0, 1
Let q(c) be the first derivative of 2*c**6/7 - 9*c**5/35 - 3*c**4/28 - 13. Determine y, given that q(y) = 0.
-1/4, 0, 1
Suppose 5*j = -6 + 16. Suppose 0*h + 0 + 1/5*h**j = 0. Calculate h.
0
Suppose -m = 5*d - 0*m - 10, d = -2*m - 7. Let v(c) be the first derivative of -2/9*c**2 + 2/27*c**d + 2 + 0*c. Find a, given that v(a) = 0.
0, 2
Suppose 0 = -k + 2*c + 8, 4*k = c + 3*c + 20. Suppose -a - 4 - a + a**2 + a**k = 0. What is a?
-1, 2
Find m, given that 5*m**2 + 0 - 5/3*m**3 - 10/3*m = 0.
0, 1, 2
Let s(j) be the first derivative of -j**5/300 + j**3/30 - 2*j**2 - 1. Let w(h) 