*(p - 2)*(p - 1)*(p + 1)/3
Suppose -3*x + 3*s = -24, -4*x - 4*s = -9*s - 37. Factor x + c**2 - c - 1 - 2.
c*(c - 1)
Let x(b) = 2*b - 6*b - 3 + 0 - 4*b**2 - b**3. Let p be x(-3). Factor 2/5*c**3 + 0 + p*c - 2/5*c**2.
2*c**2*(c - 1)/5
Let f = -1 - -5. Let j(h) be the second derivative of 0 - 1/48*h**f + 2*h + 0*h**2 - 1/24*h**3. Factor j(v).
-v*(v + 1)/4
Let o(j) be the first derivative of 2/9*j + 4/9*j**3 + 4/9*j**2 + 2/9*j**4 + 2/45*j**5 - 3. Factor o(y).
2*(y + 1)**4/9
Factor m**3 + 3*m**3 + 14*m**4 + 25*m**5 - 34*m**4.
m**3*(5*m - 2)**2
Let j(q) be the second derivative of -q**7/1260 + 3*q**4/4 - 3*q. Let u(o) be the third derivative of j(o). Factor u(v).
-2*v**2
Find m, given that -9/4*m**2 + 3/4*m**4 + 3/2 - 3/4*m**3 + 3/4*m = 0.
-1, 1, 2
Let m(q) be the third derivative of 3*q**2 + 0 + 1/90*q**6 + 1/18*q**3 - 1/18*q**4 + 0*q - 1/180*q**5. Factor m(y).
(y - 1)*(y + 1)*(4*y - 1)/3
Let i(f) be the first derivative of -2*f**5/5 - f**4 + 2*f**3/3 + 2*f**2 - 2. Factor i(x).
-2*x*(x - 1)*(x + 1)*(x + 2)
Let m(v) be the third derivative of v**6/120 - v**5/10 + v**4/2 - 4*v**3/3 - v**2. What is l in m(l) = 0?
2
Let s(v) be the second derivative of 5*v**7/42 - 7*v**6/6 + 19*v**5/4 - 125*v**4/12 + 40*v**3/3 - 10*v**2 + 3*v + 15. Solve s(n) = 0 for n.
1, 2
Let l = 13 - 6. Let t(k) be the third derivative of -2*k**2 + 0*k**3 + 0 + 1/210*k**6 + 0*k**4 - 1/735*k**l + 0*k - 1/210*k**5. Factor t(w).
-2*w**2*(w - 1)**2/7
Suppose -3*t + 9 = -4*h - 7, 5*t - 24 = 4*h. Suppose 9*u = t*u. Suppose -1/5*n - 1/5*n**3 + u - 2/5*n**2 = 0. What is n?
-1, 0
Let m(o) be the second derivative of -o**7/1050 + o**5/300 - o**2/2 - 2*o. Let k(u) be the first derivative of m(u). Factor k(r).
-r**2*(r - 1)*(r + 1)/5
Solve -1/2*t - 1/4*t**4 + 0*t**3 + 0 + 3/4*t**2 = 0.
-2, 0, 1
Let r = -8 + 10. Factor 6*y - 4*y - 2*y**r + 0*y.
-2*y*(y - 1)
Let 0*f**5 - 6*f**4 - 3*f**5 + 8*f**2 + 0*f**5 + f**5 = 0. Calculate f.
-2, 0, 1
Suppose 2*w = -2*o, 22*o = 4*w + 23*o. Factor -1/6*a**2 + w*a + 1/6.
-(a - 1)*(a + 1)/6
Let a(h) be the third derivative of h**6/24 - 5*h**5/12 + 5*h**4/3 - 10*h**3/3 + 23*h**2. Solve a(j) = 0 for j.
1, 2
Let o(q) be the second derivative of -q**6/60 + q**4/12 - q**2 + 2*q. Let h(f) be the first derivative of o(f). Let h(n) = 0. Calculate n.
-1, 0, 1
Let a(b) = -12*b**4 - 3*b**3 + 12*b**2 + 9*b. Let u(f) = 25*f**4 + 5*f**3 - 25*f**2 - 18*f. Let s(o) = 13*a(o) + 6*u(o). Factor s(m).
-3*m*(m - 1)*(m + 1)*(2*m + 3)
Suppose 9*u = 6*u + 6. Let c(x) be the third derivative of 2*x**u + 1/60*x**5 + 0*x**3 - 1/210*x**7 + 0*x + 0*x**6 + 0*x**4 + 0. Factor c(i).
-i**2*(i - 1)*(i + 1)
Factor 0*d**2 + 0*d + 0 + 4/9*d**3 + 2/9*d**4.
2*d**3*(d + 2)/9
Let k(o) = -o**3 - o**2 + o + 2. Suppose 4*i - 4 = 6*i. Let y be k(i). Factor 1/3*c**2 - 1/3*c**y + 0 - 1/3*c**3 + 1/3*c.
-c*(c - 1)*(c + 1)**2/3
Let w(v) be the third derivative of v**6/180 + 6*v**2. Suppose w(d) = 0. What is d?
0
What is w in -1 - 3/2*w - 1/2*w**2 = 0?
-2, -1
Let a(z) = -4*z**3 - 19*z**2 + 11*z - 11. Let y(v) = -v**3 - 5*v**2 + 3*v - 3. Let c(b) = -6*a(b) + 22*y(b). Factor c(k).
2*k**2*(k + 2)
Suppose -2*n - 3*n = 0. Let z(f) be the first derivative of -2/7*f**2 + 2/3*f**3 + n*f - 2. Factor z(p).
2*p*(7*p - 2)/7
Let r be (25/(-15) - -1) + (-84)/(-45). Factor -r*f**2 + 16/5*f - 8/5.
-2*(f - 2)*(3*f - 2)/5
Let p(h) = 1. Let k(z) = -z**2 + 2*z - 3. Let l(g) = k(g) + 2*p(g). Factor l(a).
-(a - 1)**2
Suppose 0 = 6*i - 3*i - 6. Let s(c) be the first derivative of 3 - 1/14*c**4 + 0*c**3 + 1/7*c**i + 0*c. Find k, given that s(k) = 0.
-1, 0, 1
Let w(s) = -8*s**3 + 26*s**2 - 18*s - 14. Let g(l) = 16*l**3 - 51*l**2 + 37*l + 27. Let n(h) = -2*g(h) - 5*w(h). Factor n(q).
4*(q - 2)**2*(2*q + 1)
Let s(c) = 2*c**2 + 3. Suppose 3*x - 17 - 7 = 0. Let l(k) = 3*k**2 + 5. Let m(n) = x*s(n) - 5*l(n). Suppose m(i) = 0. What is i?
-1, 1
Let d be -2 - 68/18 - (-324)/54. Let 0 - d*s**3 + 2/9*s + 0*s**2 = 0. Calculate s.
-1, 0, 1
Factor 4*r**3 - 76/5*r + 24/5 + 32/5*r**2.
4*(r - 1)*(r + 3)*(5*r - 2)/5
Suppose -3*y + 7*y - 13 = z, -z + 3 = 4*y. Factor -2*o**y + 0*o**2 + 2*o**2 + 3*o**2.
3*o**2
Let j(l) = l**4 - l**3 + l**2 + l + 1. Let i(s) = s**4 - 11*s**3 + 6*s - 2. Let z(f) = -i(f) - 2*j(f). Factor z(x).
-x*(x - 4)*(x - 1)*(3*x + 2)
Let d(t) be the first derivative of t**4/22 + 4*t**3/33 - 3*t**2/11 - 23. Factor d(u).
2*u*(u - 1)*(u + 3)/11
Suppose 4 = 6*g - 8. Let p(j) be the first derivative of -g + 0*j**2 + 0*j - 1/9*j**3. Let p(x) = 0. Calculate x.
0
Let y(v) = 45*v**4 + 55*v**3 - 100*v**2 + 55. Let j(p) = -5*p**4 - 6*p**3 + 11*p**2 - 6. Let l(t) = -55*j(t) - 6*y(t). Factor l(b).
5*b**2*(b - 1)*(b + 1)
Suppose -3*j + 4*g = 8, -5*g + 11 = -14. Let f(i) = i + 6. Let n be f(-4). Factor -4*z - n + j + 2*z**2 + 0.
2*(z - 1)**2
Suppose v - 1 = 4*h - 3, 3*h - 2*v + 1 = 0. Let z(w) be the first derivative of 1/2*w**4 + 0*w**2 + 2/3*w**3 - h + 0*w. Factor z(d).
2*d**2*(d + 1)
Let u(r) be the second derivative of r**5/16 + 8*r. Factor u(h).
5*h**3/4
Factor 5/3*j + 1/3*j**2 + 1 - 1/3*j**3.
-(j - 3)*(j + 1)**2/3
Factor 4/9*y**4 + 2/3*y**2 + 1/9*y + 0 + y**3.
y*(y + 1)**2*(4*y + 1)/9
Let m(z) = -3 + 2*z**2 + 2*z - 6*z**2 + 2. Let u(x) = -4*x**2 + 3*x - 1. Let i be (-3 + 2 + 3)*-1. Let o(q) = i*m(q) + 3*u(q). Determine h so that o(h) = 0.
1/4, 1
Let v(z) be the third derivative of z**8/20160 - z**7/1680 + z**6/360 - z**5/15 + 6*z**2. Let c(w) be the third derivative of v(w). Factor c(a).
(a - 2)*(a - 1)
Let v(d) = -4*d**2 + 4*d + 24. Let r(z) = 1. Let c(q) = 24*r(q) - v(q). Factor c(x).
4*x*(x - 1)
Let x = 5 - 2. Suppose -u - 3*u + 16 = 0. Factor 2*t**3 - 2*t + 5*t**2 - 3*t**2 + x*t**u - 5*t**4.
-2*t*(t - 1)**2*(t + 1)
Let w(v) be the first derivative of -v + 4*v**2 - 17/5*v**5 + 2/3*v**6 + 5 - 22/3*v**3 + 7*v**4. Factor w(q).
(q - 1)**4*(4*q - 1)
Factor -6/5*u**3 + 4/5*u**4 + 0 - 1/5*u**5 + 4/5*u**2 - 1/5*u.
-u*(u - 1)**4/5
Suppose u = 16 - 14. Factor -u*y**2 - 1/2 + y**5 + 5/2*y**4 - 2*y + y**3.
(y - 1)*(y + 1)**3*(2*y + 1)/2
Suppose 5*q - p = 4, p + 5 - 1 = q. Suppose q = -2*y - 2*y + 8. Find c such that 10*c**y - 6*c**4 + 8*c**5 - 8*c**4 + c**2 - 4*c - 4*c**3 + 5*c**2 - 2 = 0.
-1, -1/4, 1
Let p(o) = o**2 + o - 4. Let n be p(2). Factor -18 - 93*i - 355/2*i**n - 54*i**4 - 27/4*i**5 - 603/4*i**3.
-(i + 3)**2*(3*i + 2)**3/4
Let w(n) = 7*n - 10. Let x be w(2). Let j(v) be the first derivative of -6*v - 2/9*v**3 - 2*v**2 - x. Let j(r) = 0. What is r?
-3
Let j(u) be the first derivative of -6*u + 3/2*u**2 + u**3 - 3. Let j(h) = 0. What is h?
-2, 1
Let s(n) = 2*n**2 + 7*n - 2*n**2 - n**2 + 4 - 1. Let q be s(7). Let -2 - 2*w**3 + 0*w**q - 2*w**2 + 2 = 0. Calculate w.
-1, 0
Let d(o) be the second derivative of o**4/84 + o**3/21 + o**2/14 - 7*o. Solve d(u) = 0.
-1
Let u = -3 + 8. Let i(l) be the third derivative of 1/525*l**7 - 1/300*l**6 + 0*l + 0*l**3 - 1/150*l**u - 2*l**2 + 0 + 1/60*l**4. Factor i(p).
2*p*(p - 1)**2*(p + 1)/5
Let v be (4/(-10))/((-8)/5). Let m = -256 + 1029/4. Suppose 9/4*u**3 + 0 - m*u**2 - 7/4*u**4 + 1/2*u**5 + v*u = 0. What is u?
0, 1/2, 1
Let q = 13 - 10. Determine r, given that -1/5*r**5 + 2/5*r**2 + 0*r**q - 2/5*r**4 + 1/5*r + 0 = 0.
-1, 0, 1
Let f be 54/15 - 4/(-10). Let d be 92/28 - f/14. Factor 2*r**5 - r**5 + 0*r**5 - 2*r**d + r**3.
r**3*(r - 1)*(r + 1)
Let y(h) be the third derivative of -h**6/1260 + h**5/630 + h**4/126 - 13*h**2. What is q in y(q) = 0?
-1, 0, 2
Determine d, given that 16/11 + 2/11*d**3 - 4/11*d**2 - 8/11*d = 0.
-2, 2
Let h be (276/(-8))/(-23)*1/3. Solve 3/2*t + t**2 - 3/2*t**4 - t**3 - 1/2*t**5 + h = 0.
-1, 1
Let r(x) = 5*x**4 + 3*x**3 - 7*x**2 + 3*x + 5. Let u(z) = -24*z**4 - 14*z**3 + 34*z**2 - 14*z - 24. Let a(j) = 14*r(j) + 3*u(j). Factor a(g).
-2*(g - 1)**2*(g + 1)**2
Let w(h) = h**2 + 27*h + 92. Let r be w(-23). Let n(u) be the third derivative of -1/20*u**4 - 2/15*u**3 + r*u - 1/150*u**5 + 3*u**2 + 0. Factor n(d).
-2*(d + 1)*(d + 2)/5
Let w(n) be the first derivative of 0*n**2 + 1/14*n**4 - 3 + 0*n**3 + 0*n + 2/35*n**5. Let w(x) = 0. Calculate x.
-1, 0
Let l be (2/35)/((-28)/(-49)). Let n(k) be the second derivative of -k**2 + 0 - 1/2*k**4 + l*k**5 - 2*k + k**3. Let n(j) = 0. What is j?
1
Factor 2/15*m**2 + 0 + 2/15*m.
2*m*(m + 1)/15
Let d be 7/21 - (-16)/6. Let -20 + 5*y**2 + 4 - 4*y**d + 7*y