)**3
Suppose -2*f**4 - f**2 + 6*f**4 - 3*f**2 = 0. Calculate f.
-1, 0, 1
Let j(z) = -z**3. Let s = -9 + 10. Let x(d) = -22*d**3 - 63*d**2 - 48*d - 12. Let l(i) = s*x(i) + 5*j(i). Factor l(m).
-3*(m + 1)*(3*m + 2)**2
Find m such that 20*m - 8*m - m**2 - 9 + 2*m**2 - 4*m**2 = 0.
1, 3
Let h be (-261)/(-7) + (-14)/49. Let 31*v**3 + 2*v**4 - 5*v**4 - 3*v**2 - h*v**3 = 0. Calculate v.
-1, 0
Let y(z) be the first derivative of z**6/3 + 2*z**5 + 5*z**4 + 20*z**3/3 + 5*z**2 + 2*z - 5. Solve y(j) = 0.
-1
Let h be (-12)/546 + (-2)/(-3). Let a = h + 2/91. Suppose -8/3 + 0*d + a*d**3 + 2*d**2 = 0. What is d?
-2, 1
Let g(k) be the first derivative of 1/2*k**2 + 3 + 0*k - 1/4*k**4 + 0*k**3. Factor g(d).
-d*(d - 1)*(d + 1)
What is f in -6*f + 16*f**2 - 4*f**5 - 24*f**3 + 0*f**2 + 16*f**4 + 0*f + 2*f = 0?
0, 1
Let c(u) be the first derivative of -3*u**5/5 + 3*u**4/4 + u**3 - 3*u**2/2 + 5. Suppose c(t) = 0. Calculate t.
-1, 0, 1
Let x(i) be the second derivative of -i**5/30 + i**3/3 + i**2/2 + 3*i. Let w(y) be the first derivative of x(y). Find f, given that w(f) = 0.
-1, 1
Suppose -7 = -4*n + 5. Suppose n*f - 4 = -f. Factor -x**2 + 1/2*x - 1/2*x**3 + f.
-(x - 1)*(x + 1)*(x + 2)/2
Let x(u) be the second derivative of 0*u**2 - 2*u + 0 + 1/66*u**4 + 0*u**3. Factor x(j).
2*j**2/11
Suppose h + 2*h = 6. Factor s**4 + 2*s**4 - 3*s**3 + s**5 + h*s - 2*s**4 - s**2.
s*(s - 1)**2*(s + 1)*(s + 2)
Let f(o) be the second derivative of 5*o**4/12 - 10*o**3/3 + 10*o**2 + 2*o. Factor f(a).
5*(a - 2)**2
Let i be (-2)/8 - 39/52. Let d(f) = -3*f**2 - 12*f - 3. Let z(v) = v. Let h(n) = i*d(n) - 6*z(n). Factor h(c).
3*(c + 1)**2
Let t(f) = -f**4 - f**3 + f**2. Let n(z) = -z**4 - 13*z**3 + 11*z**2. Let j(h) = n(h) - 3*t(h). Factor j(s).
2*s**2*(s - 4)*(s - 1)
Let q(p) be the second derivative of 3*p**5/20 + p**4/4 - 8*p. Determine i, given that q(i) = 0.
-1, 0
Let d(z) be the first derivative of -z**4/4 + 3*z**2/2 - 2*z + 15. Solve d(c) = 0.
-2, 1
Let u(k) be the third derivative of -3*k**8/616 - k**7/77 + k**6/132 + k**5/22 - 4*k**3/33 + 12*k**2. Let u(y) = 0. What is y?
-1, 2/3
Let t(k) = k**2. Let n(y) = 2*y**3 - y**2 + 18*y - 8. Let f(w) = -2*n(w) + 22*t(w). Suppose f(o) = 0. What is o?
1, 4
Let r = 7 + -11. Let x be 2/4*0/r. What is l in 5 - l**2 + x*l + l - 4 - l**3 = 0?
-1, 1
Let o(g) be the second derivative of -g**5/80 + g**4/16 - g**3/8 + g**2/8 + 13*g. Let o(m) = 0. What is m?
1
Let i = -834 - -842. Determine h so that 128 + 48*h**2 + 1/2*h**4 - i*h**3 - 128*h = 0.
4
Let w(g) be the third derivative of -g**10/50400 + g**8/3360 - g**6/240 + g**5/10 - 4*g**2. Let b(c) be the third derivative of w(c). Let b(a) = 0. What is a?
-1, 1
Suppose -9/4*s**3 + 15/4*s**2 - 3/4*s - 3/4 = 0. What is s?
-1/3, 1
Let f be (-12)/(-8)*(-8)/(-42). Factor 0*a + f - 2/7*a**2.
-2*(a - 1)*(a + 1)/7
Suppose 4 + 6 = 5*v + p, 5*p + 37 = 4*v. Find d, given that -v*d**4 - 2*d + 5*d**4 - 2*d**2 + d + d**5 = 0.
-1, 0, 1
Let i(r) be the first derivative of -r**4/54 + 2*r**3/27 - r**2/9 + r + 2. Let z(q) be the first derivative of i(q). Factor z(u).
-2*(u - 1)**2/9
Let g(a) be the first derivative of a**5/20 - a**4/12 - a**3/6 + a**2/2 - a + 1. Let l(j) be the first derivative of g(j). Factor l(r).
(r - 1)**2*(r + 1)
Factor -65 + 17 + 17*k - k**2 + 7*k - 2*k**2.
-3*(k - 4)**2
Let h(c) be the second derivative of -7*c**7/12 + 21*c**6/10 - 11*c**5/40 - 59*c**4/12 + 5*c**3 - 2*c**2 + 28*c. Let h(m) = 0. Calculate m.
-1, 2/7, 1, 2
Let y = -8 + 11. Determine i so that -3*i**4 + 4*i**3 + 3*i**y + 2*i**2 - i**3 - 5*i**2 = 0.
0, 1
Let r(h) be the first derivative of -2*h**5/55 - h**4/22 + 2*h**3/33 + h**2/11 - 14. Factor r(s).
-2*s*(s - 1)*(s + 1)**2/11
Let h(t) be the first derivative of -t**6/24 + t**5/4 - 9*t**4/16 + 7*t**3/12 - t**2/4 - 10. Factor h(w).
-w*(w - 2)*(w - 1)**3/4
Solve 5*z**2 + 0*z**2 - 5*z**2 - 5*z**2 = 0 for z.
0
Suppose 5*s + 9 = 4. Let j(y) = -3*y + 1. Let b be j(s). Solve 10*g**2 - b*g + 2/5 = 0.
1/5
Let r = -440 - -3086/7. Find b, given that -r*b**4 + 6/7*b**3 - 3/7*b - 6/7 - 3/7*b**5 + 12/7*b**2 = 0.
-2, -1, 1
Let c = -22 - -22. Let s(d) be the third derivative of -1/60*d**4 + 1/300*d**6 - d**2 + 0*d**5 + c*d + 0*d**3 + 0. Factor s(r).
2*r*(r - 1)*(r + 1)/5
Let t(r) = -r**3 - 3*r**2. Let u be t(-3). Let i(k) be the second derivative of -k + u - 1/21*k**3 + 1/70*k**5 + 1/7*k**2 - 1/42*k**4. Factor i(p).
2*(p - 1)**2*(p + 1)/7
Let c be ((3 - 0) + -2)*1. Let m = c + 0. Factor 0 + 21*h**2 - m - h - 1.
(3*h - 1)*(7*h + 2)
Let n(v) = -v**3 + 3*v**2 + 5*v - 1. Let g be n(4). Factor -11*j**g - 2*j**2 + 4*j**5 - 2*j**4 - 2*j**5 - 4*j**4 + 17*j**3.
2*j**2*(j - 1)**3
Let x(d) = -18*d**4 + 58*d**3 - 52*d**2 + 22*d. Let a(c) = -6*c**4 + 19*c**3 - 17*c**2 + 7*c. Let r(z) = -10*a(z) + 3*x(z). Factor r(l).
2*l*(l - 1)**2*(3*l - 2)
Factor 3 - 6*y - 6*y + 1 - 112*y**2.
-4*(4*y + 1)*(7*y - 1)
Let c(b) = -b + 3. Let k be c(-2). Solve 2*z**2 - z**k + 2*z**3 + z**3 + 0*z**2 = 0 for z.
-1, 0, 2
Let r(g) = -g**2 + g - 1. Let m(v) = -10*v + 13*v - 12*v + 6*v**2 + 10. Let a(x) = 2*m(x) + 14*r(x). Solve a(j) = 0 for j.
-3, 1
Factor -6/5*h - 3/5 - 3/5*h**2.
-3*(h + 1)**2/5
Let c(i) = -2*i**4 - 2*i**3 + 2*i**2 + 4*i + 2. Let q(h) = 2*h**4 + 2*h**3 - 2*h**2 - 5*h - 3. Let t(s) = 3*c(s) + 2*q(s). Factor t(r).
-2*r*(r - 1)*(r + 1)**2
Let y be (90/(-75))/((-15)/25). Determine a, given that -8/3*a - 1/3*a**3 - 5/3*a**y - 4/3 = 0.
-2, -1
Suppose 0 = -h - h + 6. Let j(w) = -w + 12. Let r be j(10). Find m, given that -5*m - 3*m**r + 3*m**2 - 2*m**h + m**5 + 6*m = 0.
-1, 0, 1
Let l(g) = g**2 + 132*g + 716. Let h(x) = 66*x + 357. Let j(v) = -5*h(v) + 3*l(v). Factor j(o).
3*(o + 11)**2
Suppose -16 + 1 = -5*h. Let c(p) be the second derivative of 0 + 1/30*p**6 - 1/24*p**h - 3/40*p**5 + 0*p**2 - 2*p + 1/12*p**4 - 1/168*p**7. Factor c(y).
-y*(y - 1)**4/4
Let t(v) be the third derivative of -v**6/240 - v**5/180 + v**4/12 + 2*v**3/9 + 23*v**2. Determine w, given that t(w) = 0.
-2, -2/3, 2
Determine r, given that 84*r - 19 + 304*r**2 + 3*r**5 + 288*r**4 - 12*r**3 + 464*r**3 + 61*r**5 + 27 = 0.
-2, -1, -1/4
Let f be (-3 - (-60)/9)*3. What is t in 4*t**4 - t - t**5 - f*t**4 + 7*t**4 + 2*t**3 = 0?
-1, 0, 1
Let m(a) be the third derivative of a**5/180 + a**4/18 + 10*a**2. Factor m(h).
h*(h + 4)/3
Let g be (7 - (-172)/(-20)) + (-1 - -3). Let 4/5*x**2 + 4/5*x**3 - 2/5*x**5 - 2/5 - g*x**4 - 2/5*x = 0. Calculate x.
-1, 1
Let y(c) be the second derivative of -c**10/30240 - c**9/5040 - c**8/2240 - c**7/2520 - c**4/4 + 3*c. Let d(m) be the third derivative of y(m). Factor d(q).
-q**2*(q + 1)**3
Let i(s) = 22*s**2 + 6*s. Let v(z) = 7*z**2 + 2*z. Suppose 4 = -k - 0*k. Let h = -8 - k. Let y(q) = h*i(q) + 14*v(q). Suppose y(o) = 0. Calculate o.
-2/5, 0
Suppose 7*f - 9*f + 4 = 0. Solve 2/5 - 2/5*p**f + 0*p = 0.
-1, 1
Let l = 3 - 1. Factor -2*f**5 - 3*f - 4*f**4 + 4*f**2 + 5*f + 0*f**l.
-2*f*(f - 1)*(f + 1)**3
Let f be 1*(2 + 2 + 0). Factor 1 + 2*w**3 - f*w**3 - 1 + 2*w**2.
-2*w**2*(w - 1)
Factor -2*o**2 - 18*o - 3*o**2 + 3*o**3 - 5*o**3 + 17*o**2.
-2*o*(o - 3)**2
Let f(z) be the first derivative of 2*z**3/3 - 2*z**2 + 2*z - 10. Factor f(n).
2*(n - 1)**2
Let l(v) be the third derivative of 1/240*v**6 + 0 + v**2 - 1/24*v**3 - 1/48*v**4 + 1/240*v**5 + 0*v. Factor l(d).
(d - 1)*(d + 1)*(2*d + 1)/4
Let q(j) be the third derivative of 3*j**5/100 - j**4/10 + j**3/10 + 5*j**2. Factor q(m).
3*(m - 1)*(3*m - 1)/5
Suppose 5*l = 20, 0*f + 3*f + 3*l = 18. Suppose 0 = q + f*q. Suppose 2/7*z**2 + 0 - 2/7*z**4 + q*z + 0*z**3 = 0. Calculate z.
-1, 0, 1
Suppose -6*r + 140 = -2*r. Suppose -3*l + 15 = s, 5*s + 4*l + l - r = 0. Factor -1/4*v - 3/4*v**2 + 1/4*v**s + 3/4*v**4 + 0.
v*(v - 1)*(v + 1)*(3*v + 1)/4
Let v = 30/7 + -293/70. Let m(l) be the second derivative of -v*l**6 + 0 + 0*l**2 + 4*l - 1/4*l**4 - 3/10*l**5 + 0*l**3. Suppose m(w) = 0. What is w?
-1, 0
Let k(q) be the second derivative of 1/4*q**5 - 1/3*q**3 + 0 + 1/4*q**4 + 3*q + 0*q**2. Factor k(v).
v*(v + 1)*(5*v - 2)
Let l(n) = 49*n**4 + 28*n**3 - 192*n**2 - 112*n - 16. Let c(p) = -49*p**4 - 28*p**3 + 192*p**2 + 112*p + 16. Let v(f) = 7*c(f) + 6*l(f). Factor v(a).
-(a - 2)*(a + 2)*(7*a + 2)**2
Let p = 12 + -18. Let j be ((-2)/(-6))/((-8)/p). Factor 0 + j*d**3 + 0*d + 1/4*d**2.
d**2*(d + 1)/4
Let l = -11