
-2*(h - 1)**2*(h + 1)**2
Factor 2/13*h**2 + 8/13 - 8/13*h.
2*(h - 2)**2/13
Factor 14*a**2 - 2 + 6*a - 12*a**2 + 2.
2*a*(a + 3)
Let u be (8/18)/(6/27). Factor -2*p**u - 3*p - 2*p**3 + 5*p**3 + 2 + 0*p**3.
(p - 1)*(p + 1)*(3*p - 2)
Let d(k) be the third derivative of k**8/1008 + 2*k**7/315 + k**6/72 + k**5/90 - 6*k**2. Factor d(t).
t**2*(t + 1)**2*(t + 2)/3
Factor 3/5*n**2 + 0 + 2/5*n**3 + 0*n - 1/5*n**4.
-n**2*(n - 3)*(n + 1)/5
Solve -69*j + 39*j + 10*j**2 + 34*j = 0 for j.
-2/5, 0
Factor 2/11*d**3 + 6/11*d**2 + 4/11*d + 0.
2*d*(d + 1)*(d + 2)/11
Let g be 88/14 - (4 - -2). Factor -g*a**2 - 12/7*a - 18/7.
-2*(a + 3)**2/7
Let u be ((1 - -4) + 3)/2. Factor 8 + 2*i**3 - 10*i + 6*i**2 - 4 + 0*i**4 - 2*i**u.
-2*(i - 1)**3*(i + 2)
Let l(d) be the second derivative of d**6/60 + d**5/60 - d**4/24 - d**3/18 + 6*d. What is m in l(m) = 0?
-1, -2/3, 0, 1
Let h(v) be the third derivative of -v**6/120 + 2*v**5/15 + v**4/24 - 4*v**3/3 + 54*v**2. Factor h(s).
-(s - 8)*(s - 1)*(s + 1)
Let y = 946 + -943. Factor -2/9*s**y - 8/9*s**4 + 0*s**2 + 0 + 0*s.
-2*s**3*(4*s + 1)/9
Let y(k) be the first derivative of -5*k**4/12 + 35*k**3/9 - 25*k**2/2 + 15*k + 5. Factor y(l).
-5*(l - 3)**2*(l - 1)/3
Let f(t) be the second derivative of -12*t**5/35 - 18*t**4/7 - 33*t**3/14 - 6*t**2/7 - 2*t. Factor f(o).
-3*(o + 4)*(4*o + 1)**2/7
Suppose 2*x = 3*x - 1. Let q be -2 - -5 - 3/x. Factor 0*f**3 + q*f + 1/3*f**4 + 0 - 1/3*f**2.
f**2*(f - 1)*(f + 1)/3
Let l(u) = u**3 - u**2 + 2*u - 2. Let y be l(1). Let z(h) be the first derivative of 3/2*h**4 - 3 + 2/5*h**5 + h**2 + y*h + 2*h**3. Factor z(w).
2*w*(w + 1)**3
Suppose 5*p - 20 = -0*p. Suppose -2*i**2 - i + 3*i**5 + 4*i**3 + 1 - 2*i**3 + i**p - 4*i**5 + 0*i = 0. Calculate i.
-1, 1
Let x(g) = 1 - g**3 - 2*g + 3*g**3 - g**3. Let k be x(2). Let -2/5*c + 0 + 8/5*c**2 - 12/5*c**3 - 2/5*c**k + 8/5*c**4 = 0. What is c?
0, 1
Factor -15*m**3 - 15/4*m + 0 - 25/2*m**2 - 5/4*m**5 - 15/2*m**4.
-5*m*(m + 1)**3*(m + 3)/4
Determine h, given that 0*h**3 - 4*h**3 + 4*h**2 - 4*h**4 + 4*h**3 = 0.
-1, 0, 1
Suppose -6 + 4 + 2 + 2*w**3 + 4*w**2 = 0. Calculate w.
-2, 0
Let h(y) = y**3 - 1. Suppose -3 + 18 = 5*r. Let z be (-2)/((-4)/r + 1). Let b(p) = -p**4 - 2*p**3 + p**2 - p + 3. Let q(w) = z*h(w) + 2*b(w). Factor q(n).
-2*n*(n - 1)**2*(n + 1)
Let p = -3454 - -5655. Let l = p + -15367/7. Find m such that 142/7*m**3 + 16/7 - 50/7*m**5 - 20/7*m**2 - 8*m + l*m**4 = 0.
-1, 2/5, 2
Let p(v) be the second derivative of -1/4*v**3 - 2*v + 1/2*v**2 + 0 + 1/24*v**4. Factor p(w).
(w - 2)*(w - 1)/2
Let s(j) be the first derivative of -j**7/14 + 3*j**5/10 - j**3/2 - 3*j - 1. Let v(i) be the first derivative of s(i). Factor v(y).
-3*y*(y - 1)**2*(y + 1)**2
Let o(a) be the first derivative of a**5/35 - 5*a**4/14 + 37*a**3/21 - 30*a**2/7 + 36*a/7 - 11. Factor o(n).
(n - 3)**2*(n - 2)**2/7
Let s(t) = 3*t**2 + t. Let k(n) = 2*n + 19. Let u be k(-9). Let f be s(u). What is r in 9/4*r**f - 3/4*r**2 - 3/2*r**3 + 0 + 0*r = 0?
-1/3, 0, 1
Let j(g) be the third derivative of -g**5/240 - g**4/48 - g**3/24 - 6*g**2. Suppose j(x) = 0. Calculate x.
-1
Let p(f) be the third derivative of -f**6/24 + 17*f**5/60 - 2*f**4/3 + 2*f**3/3 + 5*f**2. Let p(t) = 0. Calculate t.
2/5, 1, 2
Let b(l) be the second derivative of l**7/5040 - l**6/720 - l**4/2 - 6*l. Let s(c) be the third derivative of b(c). Find a such that s(a) = 0.
0, 2
Let c = 14 - 14. Solve -8/7 + 6/7*g**2 + c*g - 2/7*g**3 = 0 for g.
-1, 2
Let b(z) be the second derivative of -z**5/20 + 7*z**4/12 - 11*z**3/6 + 5*z**2/2 - 18*z. Factor b(x).
-(x - 5)*(x - 1)**2
Let k = -143/105 + 29/15. Factor -k + 2/7*o**2 + 2/7*o.
2*(o - 1)*(o + 2)/7
Let r(f) be the second derivative of 0 + 1/4*f**4 - 1/3*f**3 - 1/30*f**6 + 0*f**2 + 6*f + 0*f**5. Solve r(u) = 0.
-2, 0, 1
Let u(d) = -4*d**2 - 101*d - 27. Let s(k) = k**2 + 51*k + 14. Let o(l) = -7*s(l) - 4*u(l). Let o(r) = 0. Calculate r.
-5, -2/9
Suppose 24 = 2*k - 2*c, -2*k = 2*c - 3 - 1. Suppose k*l = 4*l + 9. Let 14*h**2 - 52*h - 8*h**l + 50*h - 4*h**2 = 0. Calculate h.
0, 1/4, 1
Find o such that -2/7*o + 0 - 2/7*o**2 = 0.
-1, 0
Let g(h) be the third derivative of h**5/20 - h**4/8 - 3*h**3 - 3*h**2. Solve g(q) = 0.
-2, 3
Let l = -11/3 + 5. Factor -p - 1/3 + l*p**2.
(p - 1)*(4*p + 1)/3
Let f = -5 + 14. Suppose 4*r**2 - 32 - 6*r**2 + f*r + 7*r = 0. Calculate r.
4
Let u(n) = -n**3 + 3*n + 4. Let t be u(-1). Factor 1/2*j**3 - 1/2 + 3/2*j - 3/2*j**t.
(j - 1)**3/2
Let k be -2 + 8 - (-420)/(-75). Suppose 4/5 + 6/5*a - 6/5*a**3 - 2/5*a**2 - k*a**4 = 0. Calculate a.
-2, -1, 1
Let q(o) be the third derivative of -o**8/20160 + o**7/5040 - o**5/30 + o**2. Let x(k) be the third derivative of q(k). Factor x(j).
-j*(j - 1)
Let o = -3 - -5. Let x = -6 - -9. Find h such that 2 - x*h - 2*h - 2*h**o + 5*h = 0.
-1, 1
Let g = -19 + 97/5. Factor 0 - 8/5*h + 16/5*h**2 + g*h**4 - 2*h**3.
2*h*(h - 2)**2*(h - 1)/5
Suppose 10*w = 7*w - 2805. Let f = -6515/7 - w. Suppose -f*g**3 - 18/7*g**4 + 4/7 - 2/7*g**2 + 2*g = 0. What is g?
-1, -1/3, 2/3
Let l(r) be the third derivative of r**7/630 + r**6/90 + r**5/36 + r**4/36 - 11*r**2. Factor l(x).
x*(x + 1)**2*(x + 2)/3
Let o(p) be the third derivative of p**5/210 + p**4/42 - 2*p**2. Determine j so that o(j) = 0.
-2, 0
Let s be (-24)/(-14) + 2/7. Factor 75*f**s - 30*f + 6 - 4 + 1.
3*(5*f - 1)**2
Suppose p = 6*p - 455. Let y = 187/2 - p. Suppose d**2 - d**4 + 0*d + 0 + y*d**5 - 5/2*d**3 = 0. Calculate d.
-1, 0, 2/5, 1
Let h = -35 - -36. Factor -3/2*g + 0*g**2 - h + 1/2*g**3.
(g - 2)*(g + 1)**2/2
Let q(g) be the first derivative of g**4/6 - 2*g**3 + 9*g**2 - g - 7. Let r(y) be the first derivative of q(y). Factor r(k).
2*(k - 3)**2
Let f be (-2)/(-3)*-3 + 40/20. Determine v, given that 0*v**3 + 0*v + 1/2*v**4 + 0*v**2 + f = 0.
0
Let n(c) = -c. Let v(i) = -i**3 - i**2 + 2*i + 1. Let k(a) = -3*n(a) - 3*v(a). Find o such that k(o) = 0.
-1, 1
Let l(o) be the third derivative of -o**6/30 + o**5/5 + o**4/6 - 2*o**3 + 9*o**2. Determine g, given that l(g) = 0.
-1, 1, 3
Let w(p) be the second derivative of -1/3*p**3 - 1/6*p**4 + 1/10*p**5 + 0 + p**2 - 3*p. Suppose w(v) = 0. Calculate v.
-1, 1
Let f(l) be the second derivative of -l**5/5 + 8*l**4/3 - 26*l**3/3 + 12*l**2 + 23*l. Factor f(z).
-4*(z - 6)*(z - 1)**2
Let b(r) be the third derivative of r**7/35 - 2*r**6/15 + 7*r**5/30 - r**4/6 + 2*r**2. Factor b(v).
2*v*(v - 1)**2*(3*v - 2)
Let r(k) be the first derivative of -3*k**5/5 + 9*k**4/4 - 6*k**2 + 3. Find s such that r(s) = 0.
-1, 0, 2
Suppose 41 = -3*f + 5. Let d be -2 + -3 + (-92)/f. Let -2/3*x**3 + 0*x - d + 2*x**2 = 0. Calculate x.
-1, 2
Let f be -2 - (-120)/182*3. Let q = f + 4/13. Let 2/7*z**2 + 4/7*z + q = 0. Calculate z.
-1
Let o be 2/(-11) + (-60)/(-88). Let y = -5/4 + 7/4. Suppose -y*l**5 - o*l + 2*l**2 + 2*l**4 + 0 - 3*l**3 = 0. What is l?
0, 1
Let f(i) be the first derivative of -1/3*i**2 - 2/9*i**3 + 3 + 0*i. Factor f(y).
-2*y*(y + 1)/3
What is l in 39*l + 25*l + 10 + 1 + 5 + 28*l**2 = 0?
-2, -2/7
Let n(m) = -4*m**3 + 10*m**2 - 22*m. Let b(g) = 3*g**2 + 3*g. Let z be b(-4). Let c(u) = -u**3 - u. Let y(k) = z*c(k) - 2*n(k). Suppose y(t) = 0. Calculate t.
-1, 0, 2/7
Let o(t) = -10*t**4 - 6*t**3 + 16*t**2 - 16. Let a(q) = -3*q**4 - 2*q**3 + 5*q**2 - 5. Let s(i) = 16*a(i) - 5*o(i). Let s(p) = 0. Calculate p.
0, 1
Let t = -53/2 - -27. Solve t*g**5 + 0 - 2*g**4 + 0*g**2 + 2*g**3 + 0*g = 0 for g.
0, 2
Let f = 1/5 - -3/35. Factor 0 + 0*j + f*j**2.
2*j**2/7
Let b = 253/7 - 36. Let z(d) be the second derivative of -b*d**2 - 2/21*d**3 - 2*d + 0 - 1/42*d**4. Find a such that z(a) = 0.
-1
Factor -12*y**2 + 2*y**3 + 11*y + 7*y - 1 + 1.
2*y*(y - 3)**2
Suppose 5*o - 13 + 3 = 5*q, 5*q - 22 = -3*o. Suppose -2*c + 4*k + 20 = q*c, k = -5. Find i such that 0*i**3 + 0*i + c*i**2 + 1/3*i**4 + 0 = 0.
0
Let v(x) be the first derivative of x**6/4 - 9*x**5/5 + 39*x**4/8 - 6*x**3 + 3*x**2 - 21. Factor v(o).
3*o*(o - 2)**2*(o - 1)**2/2
Suppose -3/7*y**2 - 3/7 - 6/7*y = 0. What is y?
-1
Solve 0 + 3*g**2 + 6/5*g + 3/5*g**4 + 12/5*g**3 = 0 for g.
-2, -1, 0
Factor -r + 10*r**5 - 11*r**5 + 0 + 2*r**3 + 0.
-r*(r - 1)**2*(r + 1)**2
Suppose s - 3 = 3*a - 2*s, 2*s - 5 = a. Factor a*q - q**2 - 4*q + 5*q**2 - 7*q.
4*q*(q - 2)
Let u(k) be the second derivative of 7*k + 0 + 9/10*k**6 + 31/20*k**5 - 2/3*k**7 + k**2