ctor -1/3*a**2 + o*a - 1/3*a**3 - 1.
-(a - 1)**2*(a + 3)/3
Let y(l) = -11*l**2 + 31*l - 1. Let u(t) = -6*t**2 - 2 + 6*t + 1 + 9*t. Let f(x) = 14*u(x) - 6*y(x). Factor f(j).
-2*(3*j - 2)**2
Let c(l) = -l**4 - l**3 + l**2 - l. Let s(u) = -12*u**4 + 7*u**3 + 2*u**2 - 7*u. Let x(m) = 5*c(m) - s(m). Find q such that x(q) = 0.
-2/7, 0, 1
Suppose -23 - 19 = -14*r. Factor 3/5*g - 3/5 - 3/5*g**r + 3/5*g**2.
-3*(g - 1)**2*(g + 1)/5
Let n be (-9)/135*30/(-9). Let c = 2960/9 - 328. Factor n*k + 0 - c*k**2.
-2*k*(4*k - 1)/9
Let r be (12/(-6))/(-17 + -1). Let p(t) be the second derivative of -1/6*t**2 - 1/30*t**5 + 2*t + 1/90*t**6 + 0 + r*t**3 + 0*t**4. Factor p(a).
(a - 1)**3*(a + 1)/3
Let z(d) = -3*d - 16. Let g be z(-11). Suppose 5*x + g = x - 5*n, 3 = 4*x + n. Factor 0*u + 1/4*u**3 + 0*u**x + 0.
u**3/4
Suppose q = 1 + 19. Let x = 22 - q. Let -1/2*m**3 + 0 + 1/2*m**x + 0*m = 0. What is m?
0, 1
Let j = 2/7 - -4/35. Let r be 4/30*21 - 2. Find n, given that 0 - 4/5*n**3 + j*n**2 + r*n - 2/5*n**4 = 0.
-2, -1, 0, 1
Let n(g) be the first derivative of 1/4*g**4 + 0*g**3 + 0*g - 5 - 1/2*g**2. Factor n(r).
r*(r - 1)*(r + 1)
Let x(y) = -9*y**3 - 13*y**2 + 7*y - 5. Let f(d) = -4*d**3 - 6*d**2 + 4*d - 2. Let u(j) = 5*f(j) - 2*x(j). Determine k so that u(k) = 0.
-3, 0, 1
Let m(i) = 4*i**2 + 16*i + 10. Let c(v) = -5*v**2 - 17*v - 9. Let d(g) = 2*c(g) + 3*m(g). Determine u so that d(u) = 0.
-6, -1
Let c = 129 - 127. Let y(m) be the second derivative of -3*m + 2/3*m**3 - 1/12*m**4 - 2*m**c + 0. Solve y(f) = 0 for f.
2
Let y(j) be the second derivative of j**6/285 + j**5/95 - j**4/114 - 2*j**3/57 - 4*j + 7. Factor y(v).
2*v*(v - 1)*(v + 1)*(v + 2)/19
Let j(g) be the second derivative of -2*g**7/231 + g**6/165 + 3*g**5/110 - g**4/66 - g**3/33 - g. Find p such that j(p) = 0.
-1, -1/2, 0, 1
Let m be (-10)/(2 - (-8)/(-2)). Let p(a) be the third derivative of -2*a**2 + 1/24*a**4 - 1/120*a**6 + 0*a**m + 0*a + 0*a**3 + 0. Let p(b) = 0. What is b?
-1, 0, 1
Let j(w) = w**2 + 16*w - 13. Let t be j(-17). Let -2/9 - 4/9*c**3 + 2/9*c**t + 0*c**2 + 4/9*c = 0. Calculate c.
-1, 1
Let p(u) = -18*u**3 + 2*u + 1. Let q be p(-1). Factor -q*b + 2 - 4*b**5 + 18*b**4 + 3*b**3 + 28*b**2 - 15*b**3 - 20*b**3 + 5*b.
-2*(b - 1)**4*(2*b - 1)
Let u(s) = -s + s**2 + 2*s**3 - 1 - s**3 - s**3 - s**3. Let a(c) = -4*c**3 + 8*c**2 - 16*c - 8. Let k(d) = a(d) - 10*u(d). Factor k(t).
2*(t - 1)*(t + 1)*(3*t - 1)
Let z(k) be the second derivative of -5*k**4/3 - 56*k**3/3 + 24*k**2 - 35*k. Factor z(m).
-4*(m + 6)*(5*m - 2)
Suppose 0 = 13*w - 22 - 4. Let j(p) be the second derivative of 2/13*p**w - 1/39*p**4 - 1/39*p**3 + 1/130*p**5 + p + 0. Solve j(q) = 0 for q.
-1, 1, 2
Let r = 67/252 - 1/63. Let g(q) be the first derivative of 0*q + 1/2*q**2 + 2 - r*q**4 + 0*q**3. Factor g(a).
-a*(a - 1)*(a + 1)
Let f(l) = l**3 - 3*l**2. Let o(c) be the second derivative of c**5/20 - 5*c**4/12 - 4*c. Let s(z) = 5*f(z) - 3*o(z). Find a such that s(a) = 0.
0
Factor -1/5*z**3 - 2/5 + 0*z**2 + 3/5*z.
-(z - 1)**2*(z + 2)/5
Let j(b) = -24*b**2 + 27*b - 12. Let v(d) = -6*d**2 + 7*d - 3. Let m(k) = -2*j(k) + 9*v(k). Factor m(n).
-3*(n - 1)*(2*n - 1)
Suppose 43*z = 44*z. Factor 2/9*v**2 - 2/9 + z*v.
2*(v - 1)*(v + 1)/9
Let y = 262 - 1309/5. Factor -4/5 - y*f**2 - 4/5*f.
-(f + 2)**2/5
Factor 5*s + 7*s**3 - 5*s**2 - 7*s**3 + 0*s**2 - 5*s**3 + 5*s**4.
5*s*(s - 1)**2*(s + 1)
Let a(x) = 5*x**4 + 15*x**3 + 10*x**2 + 3*x + 3. Let p(s) = -15*s**4 - 45*s**3 - 30*s**2 - 10*s - 10. Let m(w) = 10*a(w) + 3*p(w). What is l in m(l) = 0?
-2, -1, 0
Let z(i) = 8*i**2 - 5. Let y(n) = -7*n**2 + 4. Let t(v) = -5*y(v) - 4*z(v). Let t(s) = 0. What is s?
0
Let l = 6/7 + -5/14. Factor l*x**3 + 5/2*x - 2*x**2 - 1.
(x - 2)*(x - 1)**2/2
Let j be (-1 - 0)/(1/(-18)). Suppose 2*q = -w - 2*q - j, 3*w + 2*q + 4 = 0. Factor -3*x + 6*x**4 + 2*x**5 - 6*x**2 + 0*x**w + x**5.
3*x*(x - 1)*(x + 1)**3
Let n(r) be the first derivative of -2*r**3/27 + r**2/9 + 6. Determine a, given that n(a) = 0.
0, 1
Let s(v) be the second derivative of -v**4/12 + v**3/6 + v**2 - 9*v. Factor s(p).
-(p - 2)*(p + 1)
Let a = -84 - -86. Let y(f) be the first derivative of -1/12*f**3 + 4 + 1/4*f**a + 0*f. Determine c so that y(c) = 0.
0, 2
Suppose 0 = -2*u + 8 + 2. Suppose o = -5*z + 16 - 2, 2*z = 5*o - 16. Factor u*v**2 + 8*v**2 + 2*v - 4 - z*v**4 - 7*v**2 - 2*v**3.
-2*(v - 1)**2*(v + 1)*(v + 2)
Factor -18*j**3 - 4*j - 3*j**4 - j**4 + 10*j**3 + 2*j**4 - 10*j**2.
-2*j*(j + 1)**2*(j + 2)
Factor 24*a**2 + 48*a + 31 - a**3 + 5*a**3 + 1.
4*(a + 2)**3
Suppose -5*h - 2 + 24 = r, 0 = r - 5*h + 18. Let s(g) be the first derivative of -2/9*g**3 + r + 2/3*g**2 - 2/3*g. Factor s(d).
-2*(d - 1)**2/3
Factor 2/5 + b**3 + 7/5*b + 1/5*b**4 + 9/5*b**2.
(b + 1)**3*(b + 2)/5
Let m = 12 - 9. Factor 2*s**3 + 10*s**2 - 14 - 4 - 4*s**m - 6*s.
-2*(s - 3)**2*(s + 1)
Factor 18/5*u - 14/5*u**2 - 4/5.
-2*(u - 1)*(7*u - 2)/5
Let w be 4/(-3)*(-12)/4. Let c(d) be the second derivative of d + 0*d**2 - 1/48*d**w + 0 - 1/24*d**3. Solve c(f) = 0 for f.
-1, 0
Let k(r) be the second derivative of 0*r**2 + 5/18*r**4 + 2/9*r**3 + 0 + 2/15*r**5 + 1/45*r**6 - 2*r. Solve k(a) = 0.
-2, -1, 0
Let m = 4 - 18. Let v be ((-8)/m)/((-120)/(-84)). Suppose 0 + 6/5*o**3 + 2/5*o + v*o**4 + 6/5*o**2 = 0. What is o?
-1, 0
Let u(b) be the third derivative of 7*b**6/24 + 5*b**5/2 + 15*b**4/2 + 20*b**3/3 - 19*b**2. Factor u(q).
5*(q + 2)**2*(7*q + 2)
Factor 0 + 0*d**2 - 2/5*d**3 - 4/5*d**4 + 0*d.
-2*d**3*(2*d + 1)/5
Let v(y) be the second derivative of 3*y**5/20 - y**4/2 + y**3/2 + 3*y. Factor v(w).
3*w*(w - 1)**2
Let u(d) be the second derivative of d**7/2520 - d**6/540 + d**5/360 + d**3/6 - 4*d. Let t(i) be the second derivative of u(i). Factor t(j).
j*(j - 1)**2/3
Let g(u) be the first derivative of 2/3*u**3 + 3/7*u**2 - 1 - 2/7*u**5 - 3/14*u**4 - 4/7*u. Suppose g(l) = 0. Calculate l.
-1, 2/5, 1
Let m = 0 + 2. Factor 3*x**m - 3*x**2 + 2*x**2.
2*x**2
Let v(k) be the second derivative of -k**5/20 + k**4/12 + 9*k. Suppose v(h) = 0. What is h?
0, 1
Let m(h) be the third derivative of -h**6/40 - 3*h**5/20 - h**4/4 - 21*h**2. Factor m(o).
-3*o*(o + 1)*(o + 2)
Let x be -3 - (120/(-36) + 2/6). Factor x + 2/7*o**2 - 2/7*o.
2*o*(o - 1)/7
Suppose 4*v - 5*j = -10, 4*v + 2 + 4 = 3*j. Determine i, given that v + 1/6*i + 1/6*i**2 = 0.
-1, 0
Let i(r) be the second derivative of 0 + 3/2*r**4 - 2*r**3 - 2*r + 7/20*r**5 + 2*r**2. Let g(x) be the first derivative of i(x). Solve g(c) = 0 for c.
-2, 2/7
Let a(f) = -6*f**2 - 6*f - 6. Let k(i) = -i**2 - 1. Let b(y) = a(y) - 9*k(y). Factor b(w).
3*(w - 1)**2
Let d = -1369/6 + 229. Determine l so that 1/6*l**3 - d*l - 1/2 - 1/6*l**2 = 0.
-1, 3
Let s be (-1 + 38/4)*-2. Let f = s + 17. Factor -3/4*c**2 - 1/4*c + 1/4*c**3 + 3/4*c**4 + f.
c*(c - 1)*(c + 1)*(3*c + 1)/4
Suppose -5 = -4*a + 15. Determine n so that 4*n**2 + 14*n - 12*n**5 - 12*n**3 - 10*n**4 + a + 10*n**5 + 1 = 0.
-3, -1, 1
Let k = 4 - 1. Let l(d) be the first derivative of 3 + 1/4*d**4 + 1/3*d**k + 0*d**2 + 0*d. Factor l(i).
i**2*(i + 1)
Let j(b) be the second derivative of b**7/1155 + b**6/660 - b**5/330 - b**4/132 + 9*b**2/2 - 5*b. Let r(i) be the first derivative of j(i). Factor r(m).
2*m*(m - 1)*(m + 1)**2/11
Let z(r) = -r**2 + 6. Let n be z(0). What is a in -3*a**3 + 33*a - 3 - 9*a**2 + n*a**3 - 24*a = 0?
1
Suppose -4*g - 5*s = -s - 4, 4 = -2*g - 4*s. Factor 3*o**3 + o**4 + g - 1 - 3 + 2*o**2.
o**2*(o + 1)*(o + 2)
Let r = -59 + 12. Let x = r - -86. Find u such that -x*u**2 - 4 + 45/2*u**3 + 22*u = 0.
2/5, 2/3
Let i(l) be the first derivative of -l**3/9 - l**2/6 + 2*l/3 - 4. Factor i(y).
-(y - 1)*(y + 2)/3
Let g = -364/3 + -239/12. Let v = g - -142. Factor -v + 0*c + 3/4*c**2.
3*(c - 1)*(c + 1)/4
Let k(i) be the third derivative of 3*i**8/224 - i**7/210 - 9*i**6/80 + i**5/5 - i**4/12 - 9*i**2. Determine x, given that k(x) = 0.
-2, 0, 2/9, 1
Let d = 39/5 + -37/5. What is f in 2/5*f**2 + d*f**3 - 2/5*f**5 + 0*f + 0 - 2/5*f**4 = 0?
-1, 0, 1
Let r(g) be the second derivative of -3*g**5/20 - g**4/2 - g**3/2 - 5*g. Suppose r(w) = 0. What is w?
-1, 0
Factor 0 - 3/4*x**3 - 3/2*x**2 + 0*x + 9/4*x**4.
3*x**2*(x - 1)*(3*x + 2)/4
Let i(l) be the first derivative of -49*l**6/24 + 21*l**5 - 865*l**4/16 + 115*l**3/2 - 55*l**2/2 + 6*l - 34. Suppose i(t) = 0. What is t?
2/7,