2/7*o**3 = 0.
-1, 0, 1
Let x(q) be the second derivative of q**7/3360 - q**6/1440 + q**3/3 - 2*q. Let k(s) be the second derivative of x(s). Factor k(r).
r**2*(r - 1)/4
Suppose -5*u = -3*u - 6. Suppose -u*s - t + 9 = 0, -3*s - 3*t = -0*s - 15. Determine a, given that -a**2 + 3*a**2 + 2 - 6*a**s + 7*a = 0.
-1/4, 2
Let g be ((-6)/9*5)/((-54)/81). Factor 0*p**3 + 2/7*p**4 + 0*p + 0*p**2 - 2/7*p**g + 0.
-2*p**4*(p - 1)/7
Let d be (2/21)/(96/28). Let i(k) be the third derivative of 1/180*k**6 + 0 + 0*k**3 - 1/90*k**5 + 0*k - 2*k**2 + 1/315*k**7 - d*k**4. Factor i(b).
2*b*(b - 1)*(b + 1)**2/3
Factor 2*q**2 - 4*q**2 + 2 - 9 - 16*q - 25.
-2*(q + 4)**2
Let d(g) = g**3 + 7*g**2 + 7*g + 9. Let o be d(-6). Let v be (-1)/o + (-3)/(-3). Find c, given that -2/3*c**2 + v*c + 0 + 2/3*c**4 - 2/3*c**3 = 0.
-1, 0, 1
Let r(t) be the third derivative of 0*t**3 - 1/35*t**7 + 0*t**5 + 0*t**4 - 1/40*t**6 - 5*t**2 + 0 + 0*t. Solve r(p) = 0.
-1/2, 0
Let i be 3 + -2 + 4 - (-35 + 38). Factor 0 - 1/7*m**i + 0*m.
-m**2/7
Let u = 2 + 2. Factor -4*f**3 + 3*f**3 - 4*f + 5*f**2 - u + f**3 + 3*f**3.
(f - 1)*(f + 2)*(3*f + 2)
What is k in -136/3*k**4 + 64*k - 2*k**5 - 670/3*k**3 - 192 + 1196/3*k**2 = 0?
-12, -2/3, 1
Let h(q) be the second derivative of -q**5/35 + 2*q**3/7 + 4*q**2/7 - 9*q. Let h(c) = 0. What is c?
-1, 2
Let w(i) be the second derivative of 1/12*i**4 + 1/3*i**3 + 0 + i + 1/2*i**2. Factor w(x).
(x + 1)**2
Factor 0*v - 2/15*v**5 - 8/5*v**3 + 0 - 16/15*v**2 - 4/5*v**4.
-2*v**2*(v + 2)**3/15
Let s(m) be the first derivative of m**7/24 + 2*m**6/15 + 11*m**5/80 + m**4/24 - 4*m - 1. Let z(l) be the first derivative of s(l). Solve z(i) = 0.
-1, -2/7, 0
Let c = -3/52 - -4/13. Let c - 1/2*a - 3/4*a**2 = 0. What is a?
-1, 1/3
Let w = 4 - 2. Let v be w/(-5)*(0 + -1). Find a such that v*a**2 - 2/5*a**3 + 0*a + 0 = 0.
0, 1
Let y = 65 - -35. Let -90*s**3 - y*s**3 - 75*s**4 - 12*s + 55*s**3 - 72*s**2 = 0. What is s?
-1, -2/5, 0
Let u(s) be the second derivative of 1/252*s**7 + 1/40*s**5 - 1/45*s**6 + 0*s**2 + 0 + 4*s + 1/18*s**4 - 1/9*s**3. Factor u(d).
d*(d - 2)**2*(d - 1)*(d + 1)/6
Let c = 4897/11 - 445. Solve 0*b**3 + 2/11*b**5 - 4/11*b**2 - c*b + 0 + 4/11*b**4 = 0.
-1, 0, 1
Let y(h) be the third derivative of h**5/140 - 3*h**4/56 - 2*h**3/7 - 35*h**2. What is v in y(v) = 0?
-1, 4
Let o = 0 - 17. Let g be 30*(-2 + o/(-8)). Factor 1/2 - 25/2*h**3 - 7/4*h**5 + 10*h**2 - g*h + 15/2*h**4.
-(h - 1)**4*(7*h - 2)/4
Let w(v) be the third derivative of -v**8/1512 + 4*v**7/945 - v**5/27 + v**4/108 + 2*v**3/9 - 2*v**2 + 41. Let w(i) = 0. What is i?
-1, 1, 2, 3
Let y = 29 + -25. Let o(r) be the first derivative of 1/3*r**3 - 2*r**2 + 1 + y*r. Find t, given that o(t) = 0.
2
Let n(l) = 7*l**4 + 9*l**3 - 8*l**2 - 4*l + 1. Let q(b) = 11*b**4 + 14*b**3 - 12*b**2 - 6*b + 1. Let z(j) = 8*n(j) - 5*q(j). Solve z(y) = 0 for y.
-3, -1, 1
Let g be 8/10*(-40)/(-16). What is d in 4*d**5 + 4*d + 1 - 8*d**3 - 2*d + 3*d - g*d**2 - d + d**4 = 0?
-1, -1/4, 1
Let g(k) = 4*k**2 - 4*k - 18. Let f(v) = 8*v**2 - 8*v - 35. Let j(h) = -6*f(h) + 13*g(h). Factor j(m).
4*(m - 3)*(m + 2)
Let x(g) be the first derivative of 3/4*g**2 - 3/8*g**4 + 3/10*g**5 + 1 + 0*g - 1/2*g**3. Factor x(l).
3*l*(l - 1)**2*(l + 1)/2
Let b(m) be the second derivative of m**4/24 - m**3/3 - 16*m. Factor b(z).
z*(z - 4)/2
Let s(p) = -p**2 + p - 1. Let v(a) = 2*a**3 - 10*a**2 + 4*a + 4. Let f(b) = 4*s(b) - v(b). Factor f(o).
-2*(o - 2)**2*(o + 1)
Let y(a) be the first derivative of a**7/945 + a**6/540 - a**2/2 - 3. Let w(r) be the second derivative of y(r). Solve w(h) = 0.
-1, 0
Let u(f) = -1. Let m(g) = -3*g**2 - 18*g - 24. Suppose 1 = -z + 2*t + 2, -t + 1 = -2*z. Let v(q) = z*m(q) - 3*u(q). Factor v(s).
3*(s + 3)**2
Factor -1/2*l**3 + 0 + 3/2*l + l**2.
-l*(l - 3)*(l + 1)/2
Let f(q) be the third derivative of -q**8/840 - q**7/140 - q**6/60 - q**5/60 + q**3/6 + 2*q**2. Let w(g) be the first derivative of f(g). Factor w(j).
-2*j*(j + 1)**3
Let q(j) be the first derivative of j**6/120 + j**5/60 - 3*j**2/2 - 2. Let w(u) be the second derivative of q(u). Factor w(s).
s**2*(s + 1)
Let h(n) be the third derivative of -n**8/336 + n**7/70 - n**6/120 - n**5/20 + n**4/12 + 21*n**2. Factor h(y).
-y*(y - 2)*(y - 1)**2*(y + 1)
Suppose 8*t - 3*t - 25 = 0. Let o = 8 - t. Factor -4*y**3 - 8*y**2 - 4*y**o - 3*y**3 - 2*y + 5*y**3.
-2*y*(y + 1)*(3*y + 1)
Find c such that 4/3*c - 2/3 - 2/3*c**2 = 0.
1
Let l be 7 + ((-5)/(-5) - 4). Let g(f) be the third derivative of 0*f**3 + 0*f**l + 1/120*f**5 + 2*f**2 - 7/480*f**6 + 0 + 0*f. What is o in g(o) = 0?
0, 2/7
Let c = -261 + 263. Find m, given that 2/3*m**3 - 18 - 6*m**c + 18*m = 0.
3
Let j(f) = -f**2 + 4*f. Let u be j(4). Factor -6 + d**2 - d - d + 7 + u*d.
(d - 1)**2
Find q such that 152*q**2 + 16 - 52*q**2 - 80*q + 0 = 0.
2/5
Let -2/5*y**3 + 2/5*y**5 - 2/5*y**4 + 2/5*y**2 + 0 + 0*y = 0. What is y?
-1, 0, 1
Find c, given that 20 + 3*c**2 + 33*c + 4*c**2 - 8*c - 2*c**2 = 0.
-4, -1
Factor -2/11 - 6/11*o + 6/11*o**4 + 2/11*o**5 + 4/11*o**3 - 4/11*o**2.
2*(o - 1)*(o + 1)**4/11
Determine h, given that -9/2 - 1/2*h**2 + 5*h = 0.
1, 9
Let f(z) = -z**3 + 2*z**2 - z + 5. Let b be f(0). Factor 2*w**2 - 7*w**2 + w**2 + 4*w**3 + 4*w**4 - 4*w**b.
-4*w**2*(w - 1)**2*(w + 1)
Solve -14*g**3 - 8*g + 5 - 14*g - 5 + 32*g**2 + 4 = 0 for g.
2/7, 1
What is o in 2/7*o + 0 + 2/7*o**5 - 4/7*o**3 + 0*o**4 + 0*o**2 = 0?
-1, 0, 1
Let f = 7 - 5. Factor -2*m - 2*m + 6*m + 2*m**f.
2*m*(m + 1)
Let y(j) = -3*j. Let c be y(1). Let x be 1/((3/(-2))/c). Solve -3/2*a**4 + 0 + 3/2*a + 9/2*a**3 - 9/2*a**x = 0.
0, 1
Let l(j) = 19*j**3 - 7*j**2 + 7*j - 6. Let g(a) = -9*a**3 + 3*a**2 - 4*a + 3 + 8*a - 7*a. Let c(x) = -13*g(x) - 6*l(x). Suppose c(q) = 0. What is q?
-1, 1
Let o(j) be the second derivative of 0 - 1/75*j**6 - 1/25*j**5 + 0*j**2 - 1/30*j**4 + j + 0*j**3. Factor o(f).
-2*f**2*(f + 1)**2/5
Let s be (-5 + 62)*3/9. Factor -31 - 4*c**2 + 12 + s + 8*c.
-4*c*(c - 2)
Solve -3*q**3 + q**2 - 34 + 46 + 14*q + 7*q + 5*q**2 = 0 for q.
-1, 4
Let c be (40*1)/4 - 2. What is q in 2*q**2 + q + c*q**3 - 6*q + 4*q**2 - 8 + 2*q**4 - 3*q = 0?
-2, -1, 1
Find k, given that 35/3*k**2 - 5/3*k - 25*k**3 + 15*k**4 + 0 = 0.
0, 1/3, 1
Let g(p) = 4*p**2 + 2*p + 5. Let l(z) = -z**2 - 1. Let f = 5 + -4. Let k(u) = f*g(u) + 5*l(u). Solve k(x) = 0.
0, 2
Let x be 3 - (-12)/(-3) - -1. Factor x + 1/4*m**3 + 1/4*m**2 + 0*m.
m**2*(m + 1)/4
Let s(a) be the first derivative of 3 + 1/2*a**2 + 1/3*a**3 - 2*a. Factor s(w).
(w - 1)*(w + 2)
Let h = -436 + 438. Determine v so that 3/5*v**h + 0 - 6/5*v = 0.
0, 2
Suppose -4*t = -4 - 4. Let b(d) be the second derivative of -1/54*d**4 - 1/27*d**3 + 1/9*d**t + 0 + 1/90*d**5 + d. Solve b(a) = 0 for a.
-1, 1
Let -8*u + 15*u**2 - 4*u**3 + 0*u**2 + 0*u**2 - 3 = 0. What is u?
-1/4, 1, 3
Suppose -5*i + 240 = 3*j + 869, 0 = 4*j + 2*i + 848. Let a = -1057/5 - j. Factor 2/5*n - a*n**3 + 6/5*n**2 + 0.
-2*n*(n - 1)*(4*n + 1)/5
Let i(g) be the first derivative of 0*g**3 - 2*g + g**2 - 3 - 1/6*g**4. Let v(q) be the first derivative of i(q). Determine c, given that v(c) = 0.
-1, 1
Let l be 1*-1 - (-25)/35. Let a = l + 66/35. Determine s so that -12/5*s**2 - 2/5 - 8/5*s - 2/5*s**4 - a*s**3 = 0.
-1
Let s(v) be the third derivative of 8*v**5/45 - 2*v**4/9 + v**3/9 + 21*v**2. Factor s(f).
2*(4*f - 1)**2/3
Let l = -5 - -8. Suppose 4*v = -l*j + 13, -2*v + v - 11 = -4*j. Factor 1/4*i**j - 1/4*i + 1/4*i**2 - 1/4.
(i - 1)*(i + 1)**2/4
Let v(d) be the second derivative of -5*d + 0*d**2 - 1/6*d**3 + 0 + 1/12*d**4. Solve v(l) = 0.
0, 1
Let x(h) be the third derivative of 1/18*h**4 + 6*h**2 + 0*h**3 + 13/90*h**5 + 23/315*h**7 + 0 + 1/72*h**8 + 0*h + 3/20*h**6. Factor x(s).
2*s*(s + 1)**3*(7*s + 2)/3
Let j = -72 - -218/3. Determine f, given that -2*f**2 - j - 2/3*f**3 - 2*f = 0.
-1
Let l(w) be the first derivative of 0*w**5 - w**4 + 0*w + 1/3*w**6 + 0*w**3 - 3 + w**2. Factor l(c).
2*c*(c - 1)**2*(c + 1)**2
Factor 33/7*n + 51/7*n**3 - 9*n**2 - 15/7*n**4 - 6/7.
-3*(n - 1)**3*(5*n - 2)/7
Let s(l) = l**3 - 5*l**2 - 7*l + 5. Let n be s(6). Let y be (-1)/(-12)*n*-3. Factor -1/4*x**5 - 1/4 - 1/4*x + 1/2*x**2 + 1/2*x**3 - y*x**4.
-(x - 1)**2*(x + 1)**3/4
Let z(t) be the second derivative of -t**6/10 + t**4/2 - 3*t**2/2 - 31*t. Factor z(b).
-3*(b - 1)**2*(b + 1)**2
Let 4*p**2 