*d**3 + 12*d - 5. Suppose l(p) = 0. What is p?
-2, 1
Let b be (15 - 3) + -1 + 2. Let o = b - 19. Let k(s) = -9*s**4 - 7*s**2 + 7*s. Let a(p) = 4*p**4 + 3*p**2 - 3*p. Let w(g) = o*k(g) - 14*a(g). Factor w(t).
-2*t**4
Factor -1/3*z**3 + 4/3*z + 0 + 4/3*z**4 - 16/3*z**2.
z*(z - 2)*(z + 2)*(4*z - 1)/3
Let v(f) be the third derivative of f**5/240 - f**3/24 - 12*f**2 - f. Solve v(a) = 0.
-1, 1
Suppose -8*p - 4 = -4*p. Let f be p/2*4*-2. What is c in 0*c**2 - 1/2*c**f + 0*c**3 + 0*c + 1/2*c**5 + 0 = 0?
0, 1
Suppose -12/5*k**3 + 3/5*k**4 - 12/5*k**2 + 0 + 3/5*k**5 + 0*k = 0. Calculate k.
-2, -1, 0, 2
Suppose 3*c + 6 = -4*a + 17, -4*c = a + 7. Let z(d) = -d - 1. Let k be z(c). Solve p**k + 0 + 1/2*p**4 + 3/2*p**3 + 0*p = 0.
-2, -1, 0
Factor 6/7*b - 6/7*b**4 - 2/7*b**5 - 4/7*b**3 + 4/7*b**2 + 2/7.
-2*(b - 1)*(b + 1)**4/7
Factor 2 + 1 + 15*u**2 - 18*u**2.
-3*(u - 1)*(u + 1)
Let f(k) be the first derivative of 0*k - 2 + 0*k**4 + 0*k**2 + 3/5*k**5 - k**3. Solve f(j) = 0 for j.
-1, 0, 1
Let g be (-4)/64*3/(36/(-16)). Let h(s) be the second derivative of 0 + 1/90*s**6 + 1/9*s**3 + 0*s**2 + 3*s - g*s**4 + 0*s**5. Factor h(j).
j*(j - 1)**2*(j + 2)/3
Let z(j) be the third derivative of j**8/168 + j**7/35 - 7*j**6/60 - j**5/2 + 3*j**4/2 - 19*j**2. Factor z(r).
2*r*(r - 2)*(r - 1)*(r + 3)**2
Let l(p) be the second derivative of -p**6/30 - p**5/10 - p**4/12 - 3*p. Factor l(t).
-t**2*(t + 1)**2
Let l be (-2)/(-17) - 6472/(-476). Let b = l - 349/28. Factor -b*d**2 + 3/4*d + 1/2.
-(d - 1)*(5*d + 2)/4
Let a(n) = 10*n**2 - 55*n + 45. Let l(d) = 5*d**2 - 28*d + 23. Let p(s) = 3*a(s) - 5*l(s). Determine j so that p(j) = 0.
1, 4
Find g, given that -1/5*g**5 - 2/5*g**4 - 1/5*g**3 + 0*g**2 + 0 + 0*g = 0.
-1, 0
Let k = -103 - -313/3. Let p(j) be the first derivative of k*j**3 - 1 - 1/3*j**6 + j**4 - 2/5*j**5 - 2*j - j**2. Let p(o) = 0. What is o?
-1, 1
Let o = 4 + 0. Let a(u) = 4*u**5 - 6*u**4 + 2*u**3 + 4*u**2 + 4*u - 4. Let f(z) = -z**5 + z**3 + z**2 + z - 1. Let v(m) = o*f(m) - a(m). Factor v(n).
-2*n**3*(n - 1)*(4*n + 1)
Let s(d) be the second derivative of d**5/10 + d**4/2 - 4*d**2 + 6*d. Let s(c) = 0. What is c?
-2, 1
Let v be (-11)/(55/15) + 29/9. Factor -2/3*n**3 - 2/9*n + 10/9*n**2 - v.
-2*(n - 1)**2*(3*n + 1)/9
Suppose -5*o - 2*b = -58, b - 12 = -2*b. Factor -3*t**4 - 6*t - 7*t**3 - o*t**2 + 3*t**3 - 5*t**2 - 8*t**3.
-3*t*(t + 1)**2*(t + 2)
Let z(t) be the first derivative of -1/10*t**4 + 9 - 3/5*t**2 - 2/5*t - 2/5*t**3. Factor z(y).
-2*(y + 1)**3/5
Factor -10*x**5 + 28*x**2 + 64*x**4 - 2 + 27*x**3 - 26*x**4 - 48*x**3 - 2*x - 31*x**3.
-2*(x - 1)**4*(5*x + 1)
Factor -70/9*w + 22/9*w**2 + 50/9 - 2/9*w**3.
-2*(w - 5)**2*(w - 1)/9
Let i(g) = g**2 + g + 5. Let f be i(0). Let x(n) be the second derivative of 0*n**2 + 1/54*n**4 + 0 + 0*n**3 + 0*n**f - 1/135*n**6 - 3*n. Solve x(r) = 0 for r.
-1, 0, 1
Let v be (-6 - 1) + 4 - -5. Factor 7 - 5 - 3*l**2 + l**v.
-2*(l - 1)*(l + 1)
Suppose -2*v**4 + 16*v - 3*v**4 + 16*v**3 + v**4 - 1 - 3 - 24*v**2 = 0. Calculate v.
1
Let f(v) = 13*v**2 - v**2 + v - 12 - v**3 + 0*v**3. Let k be f(12). Find t such that 2/5*t**4 - 2/5*t**2 + 2/5*t + k - 2/5*t**3 = 0.
-1, 0, 1
Let a(r) be the first derivative of 1/6*r**3 + 1/12*r**6 + 3/8*r**4 + 0*r**2 + 3/10*r**5 - 1 + 0*r. Factor a(h).
h**2*(h + 1)**3/2
Let s(c) be the second derivative of -c**5/140 + c**4/28 - c**3/21 + 17*c. Solve s(n) = 0.
0, 1, 2
Determine b, given that 0 - 2/13*b**3 + 2/13*b + 2/13*b**2 - 2/13*b**4 = 0.
-1, 0, 1
Suppose -u + 6 = 3. Let i(m) be the first derivative of 0*m - 1/4*m**4 + 1/3*m**u + 1/2*m**2 + 1 - 1/5*m**5. Suppose i(y) = 0. Calculate y.
-1, 0, 1
Let b be 4/(-1)*(-6)/6. Suppose b = -19*f + 21*f. Solve 0 - 8/5*x - 8/5*x**f + 6/5*x**3 = 0.
-2/3, 0, 2
Let j(w) = -2*w**2 + 8*w + 4 + 1 - 3. Let v(l) be the first derivative of l**2/2 + l + 3. Let s(q) = j(q) - 4*v(q). Factor s(c).
-2*(c - 1)**2
Let l(c) be the third derivative of -c**7/3360 + c**5/480 + c**3 + 8*c**2. Let r(h) be the first derivative of l(h). Determine i, given that r(i) = 0.
-1, 0, 1
Let z = 31/65 - -3/130. Factor z*o + 0 + 9/2*o**3 - 3*o**2 - 2*o**4.
-o*(o - 1)**2*(4*o - 1)/2
Let x be 2/(-7) + 3 + (-38)/14. Let j be 4/10*(-10)/(-14). Find z, given that 0 + j*z**3 + x*z - 4/7*z**2 = 0.
0, 2
Let u be (-1 - 421/(-105)) + -3. Let l(b) be the second derivative of 0 - 1/70*b**5 + u*b**6 + 0*b**2 + b - 1/42*b**4 + 1/21*b**3. Find v, given that l(v) = 0.
-1, 0, 1
Let x(u) = u**3 + u - 6. Let w be x(0). Let a be (6/1)/(w/(-4)). Determine y, given that -5 + 5 + y**2 - y**a = 0.
-1, 0, 1
Let x = 3/38 - -8/19. Factor -1/2*m**4 + m**2 - 1/2*m - x + m**3 - 1/2*m**5.
-(m - 1)**2*(m + 1)**3/2
Factor 1/2*g**2 + 1 + 3/2*g.
(g + 1)*(g + 2)/2
Let t be (1 - 2)/(13/(-65)). Suppose 0 = i - 4*i + t*u - 4, i = u. Factor 2/7*n**5 + 0 + 2/7*n - 8/7*n**4 + 12/7*n**3 - 8/7*n**i.
2*n*(n - 1)**4/7
Let f(x) be the third derivative of x**7/840 - x**6/120 + x**5/60 + 9*x**2. Find s such that f(s) = 0.
0, 2
Let o(v) be the third derivative of -2*v**5/105 - 5*v**4/84 + 2*v**3/7 + 29*v**2. Factor o(d).
-2*(d + 2)*(4*d - 3)/7
Let f(c) be the second derivative of -c**4/18 + 2*c**3/3 - 3*c**2 + 6*c. Factor f(l).
-2*(l - 3)**2/3
Let c(f) be the first derivative of -1/6*f**2 + 1/9*f**3 + 9 - 2/3*f. Factor c(u).
(u - 2)*(u + 1)/3
Let d(c) = 5*c**3 - 5*c**2 - c + 5. Let z(s) = -6*s**3 + 6*s**2 + s - 6. Suppose -3 - 7 = -2*k. Let f(o) = k*d(o) + 4*z(o). Suppose f(v) = 0. Calculate v.
-1, 1
Let p(v) be the second derivative of -v**5/40 + v**4/12 + 7*v**3/12 + v**2 + 28*v. Factor p(a).
-(a - 4)*(a + 1)**2/2
Let p(d) be the first derivative of -3*d**4/8 - 4*d**3/3 - 3*d**2/4 + d - 23. Let p(y) = 0. Calculate y.
-2, -1, 1/3
Let w(c) = -c**2 - 20*c - 25. Let i(m) = -15*m**2 - 321*m - 399. Let k(z) = -2*i(z) + 33*w(z). Determine b so that k(b) = 0.
-3
Let v = 12 + -8. Factor -20/3*u + 4/3 + 25/3*u**2 - 20/3*u**v - 8/3*u**5 + 10/3*u**3.
-(u + 2)**2*(2*u - 1)**3/3
Let n = -20/31 + 202/217. Factor 2/7*q**3 - 2/7*q**2 + 0*q + 2/7*q**4 - n*q**5 + 0.
-2*q**2*(q - 1)**2*(q + 1)/7
Let q(f) be the third derivative of f**8/50400 - f**7/12600 - f**5/15 - 2*f**2. Let l(y) be the third derivative of q(y). Factor l(x).
2*x*(x - 1)/5
Let u = -2 - -5. Suppose 4*o + 10 = -3*g, -u*o = 2*g - 3 + 11. Factor j - j**3 - g*j**2 + 4*j - 3 + j**2.
-(j - 1)**2*(j + 3)
Let l = -13 + 13. Let t(u) be the second derivative of -u + 0*u**2 - 1/27*u**6 + 1/30*u**5 + l*u**3 + 0 + 1/27*u**4. Factor t(r).
-2*r**2*(r - 1)*(5*r + 2)/9
Let f(n) be the first derivative of -2*n**5/35 - n**4/14 + 2*n**3/21 + n**2/7 - 15. Suppose f(x) = 0. What is x?
-1, 0, 1
Let s(w) = w**3 + 5*w**2 + w - 5. Let q be s(-4). Let t = q + -4. Let 1/2*n**t + 3/2*n - 1/2 - 3/2*n**2 = 0. Calculate n.
1
Factor 4*r**3 - 8*r**3 + 2*r**4 + 2*r**3 - 2*r**2 + 2*r.
2*r*(r - 1)**2*(r + 1)
Suppose -2*z - z = 0. Let r(t) = t - 12. Let q be r(14). Find v such that 0 - 2/7*v**q + z*v = 0.
0
Suppose 0 = -0*g - g. Suppose g = -4*s + 6 + 10. Let 2*f**2 - 2*f**s + f**5 - f + 3*f - 3*f = 0. Calculate f.
-1, 0, 1
Let z(u) be the third derivative of 4*u**3 + 0 - 7/40*u**6 + 3/2*u**5 - u**2 - 9/2*u**4 + 0*u. Factor z(s).
-3*(s - 2)**2*(7*s - 2)
Suppose 0*n - 2*n**2 + 0*n**3 + 1/2*n**4 + 0 = 0. Calculate n.
-2, 0, 2
Let u = 39 - 39. Let n(b) be the third derivative of 0*b - 1/30*b**5 + 0*b**3 - b**2 - 1/60*b**6 + 0*b**4 + u. Let n(a) = 0. What is a?
-1, 0
Factor 0*l - 1/6*l**5 + 0*l**4 + 0 + 1/6*l**3 + 0*l**2.
-l**3*(l - 1)*(l + 1)/6
Let l = -1 + 6. Factor -d**l + 4*d**5 + 9*d - 9*d.
3*d**5
Factor -2*j**2 + 13 + 5*j**3 - 20*j + 18 - 3*j**2 - 11.
5*(j - 2)*(j - 1)*(j + 2)
Let r(p) be the second derivative of 4/9*p**2 + 8/27*p**3 + 5/54*p**4 + 0 - p + 1/90*p**5. Find a such that r(a) = 0.
-2, -1
Suppose k = 5*j + 353, 0 = 3*j - 0*j + k + 215. Let m = 215/3 + j. Factor -m*i**2 - 2/3*i + 2/3*i**3 + 2/3.
2*(i - 1)**2*(i + 1)/3
Let i = 13 - 8. Solve -4*t**3 - t**4 + 14*t**3 + 2*t**3 + 8*t**2 + 2*t**i + 2*t + 9*t**4 = 0 for t.
-1, 0
Let w(f) = f**2 - 3*f - 2. Let u be w(4). Let o(a) be the first derivative of 1/2*a**4 + 0*a - 1 + 1/15*a**6 + 8/25*a**5 + 0*a**u + 4/15*a**3. Factor o(x).
2*x**2*(x + 1)**2*(x + 2)/5
Let k(i) be the first derivative of 0*i + 1/4*i**2 - 1 + 1/6*i**3 - 1/10*i**5 - 1/8*i**4. Factor k(w).
-w*(w - 1)*(w + 1)**2/2