ird derivative of 1/315*j**7 + 1/60*j**6 + 0*j**3 + 0*j + 0 + 1/30*j**5 + 1/36*j**4 + 5*j**2. Determine h so that r(h) = 0.
-1, 0
Let b = 8 - 10. Let m be (b/12)/((-4)/36). Determine a so that m*a**2 + 1/2 + 1/2*a**3 + 3/2*a = 0.
-1
Find z such that -2/13*z**2 - 8/13 + 8/13*z = 0.
2
Let n(r) be the second derivative of r**5/35 + r**4/21 - 4*r**3/21 + 6*r. Factor n(a).
4*a*(a - 1)*(a + 2)/7
Let q(x) be the third derivative of x**5/40 - 3*x**4/16 - 5*x**3/2 - 39*x**2. Factor q(l).
3*(l - 5)*(l + 2)/2
Let u(p) = -3*p**5 - 2*p**4 + 3*p**3 + 2*p**2 + 2*p - 2. Let x = -16 - -17. Let o(z) = z**5 - z**3 - z + 1. Let a(q) = x*u(q) + 2*o(q). Factor a(i).
-i**2*(i - 1)*(i + 1)*(i + 2)
Suppose -r - 8 = -5. Let w = 0 - r. Factor p**2 - 2*p**2 + p**w + 4*p - 4*p.
p**2*(p - 1)
Suppose -5*s = -a + 10, 3*s + 6 = -2*a - 0. Suppose 3*c = -4*p + 3, a = -3*p + 3*c - 2*c - 1. Solve 0*h**2 + p + 0*h - 1/3*h**4 - 1/3*h**3 = 0 for h.
-1, 0
Let x be -2 + 3 + -1 - -3. Let k be 0*(-3)/(3 + x). Solve k*g - 1/2*g**2 + 0 = 0 for g.
0
Let w be 35/14*(3 + 1 + -2). Let j(d) be the third derivative of 2*d**2 + 1/30*d**3 + 0*d + 1/60*d**4 + 1/300*d**w + 0. Determine l, given that j(l) = 0.
-1
Let b(q) = 4*q**4 - 7*q**3 + 6*q**2 - 3*q - 5. Let v(x) = -5*x**4 + 8*x**3 - 7*x**2 + 4*x + 6. Let g(n) = 6*b(n) + 5*v(n). Factor g(d).
-d*(d - 1)*(d + 1)*(d + 2)
Solve 3 - 12*i**2 - 4*i - 2*i**3 + 6 + 6*i**3 + 3 = 0 for i.
-1, 1, 3
Let k be ((-45)/(-25))/((-1)/(-15)). Let f be (2/3)/(72/k). Factor -f*i - 1/4*i**2 + 0.
-i*(i + 1)/4
Suppose -4*w = w. Let o be 9/(-30)*4/(-3) - 0. Find p such that o*p + w - 6/5*p**2 + 4/5*p**3 = 0.
0, 1/2, 1
Let u be 2 - 60/(-9) - 4 - 4. Let n(p) be the second derivative of p - 1/10*p**5 + 0 - 5/3*p**3 + 2*p**2 + u*p**4. Determine y, given that n(y) = 0.
1, 2
Let q(g) be the third derivative of g**7/2520 - g**6/540 + g**5/360 - g**3/3 + g**2. Let t(b) be the first derivative of q(b). Factor t(h).
h*(h - 1)**2/3
Let x be 24/9 - 4/6. Suppose 12 = 3*v + v. Determine d, given that 0 + d + 1/2*d**v + 3/2*d**x = 0.
-2, -1, 0
Let t(n) be the second derivative of -n**4/42 + n**2/7 + 14*n. Let t(y) = 0. What is y?
-1, 1
Let z(d) be the second derivative of 0*d**2 + 1/2*d**3 - 4*d + 0 + 1/12*d**4. Determine w so that z(w) = 0.
-3, 0
Let k(a) = -a**2 + 3*a. Let z(v) = 4*v**2 - 9*v. Let p(t) = -7*k(t) - 2*z(t). Let f be p(-3). Factor 0*h - 9/5*h**3 + f - h**5 - 12/5*h**4 - 2/5*h**2.
-h**2*(h + 1)**2*(5*h + 2)/5
Let k(u) be the first derivative of 3*u**5/25 + 3*u**4/5 + 4*u**3/5 + 3. Let k(d) = 0. What is d?
-2, 0
Suppose -2*d - 1 = -9. Let c(j) be the second derivative of 1/30*j**6 + 0*j**2 + 2*j - 1/12*j**d + 1/12*j**3 + 0*j**5 - 1/84*j**7 + 0. Factor c(f).
-f*(f - 1)**3*(f + 1)/2
Suppose 0*g + 3*g = 0. Let m be (2 - (-32)/(-18)) + g. Determine b so that 2/9 - m*b - 4/9*b**2 + 2/9*b**4 - 2/9*b**5 + 4/9*b**3 = 0.
-1, 1
Let s = -83 + 505. Let m be s/14 - (-2)/(-14). What is o in 14*o**2 - 5*o**4 - 11*o - 17*o**3 - 5*o**2 - 2 - m*o**2 = 0?
-1, -2/5
Find t such that 1/2*t**5 + 0*t + 1/2*t**4 + 0 - 1/2*t**3 - 1/2*t**2 = 0.
-1, 0, 1
Let h(d) = 69*d**2 + 16*d + 6. Let o(f) = 68*f**2 + 17*f + 7. Let i(k) = 7*h(k) - 6*o(k). Determine y so that i(y) = 0.
-2/15, 0
Solve -3*f**4 - 519*f + 6*f**2 + 8*f**3 + 479*f + 25 + 4*f**4 = 0.
-5, 1
Let j(u) be the third derivative of 0*u**3 + 0 + 0*u**4 - 4*u**2 - 1/120*u**6 + 0*u + 0*u**5. What is f in j(f) = 0?
0
Let w be (-8 - -5) + (-22)/(-2). Solve 13*u**3 + 8*u**3 - 6*u - w*u**2 - 23*u**3 = 0 for u.
-3, -1, 0
Let w(s) be the second derivative of s**4/4 - 6*s**3 + 54*s**2 + 17*s. Factor w(r).
3*(r - 6)**2
Find p, given that 199 - 386 + p - 4*p**2 - p**3 + 191 = 0.
-4, -1, 1
Let k(i) be the first derivative of i**4/10 - 2*i**3/15 - 4*i**2/5 + 8*i/5 + 7. Find a such that k(a) = 0.
-2, 1, 2
Suppose -g = -2 - 0. Solve 1/3*f**g + 0*f + 0 - 2/3*f**3 + 1/3*f**4 = 0.
0, 1
Let d(p) = -35*p**2 + 335*p - 565. Let s(a) = 3*a**2 - 28*a + 47. Let c(u) = -2*d(u) - 25*s(u). Let c(n) = 0. Calculate n.
3
Let h(d) be the first derivative of d**5/20 - d**4/4 + d**3/3 - 40. Determine s so that h(s) = 0.
0, 2
Let a(o) be the first derivative of 1/6*o**4 + o**2 - 2/3*o**3 - 2/3*o + 6. Factor a(j).
2*(j - 1)**3/3
Let g(z) = 6*z**4 + 8*z**3 - 6*z**2 - 28*z + 10. Let x(p) = -2*p**4 - 3*p**3 + 2*p**2 + 9*p - 3. Let v(c) = -3*g(c) - 10*x(c). Factor v(j).
2*j*(j - 1)*(j + 1)*(j + 3)
Let t be (-9)/(-144)*8*8/2. Find m such that 0 + 0*m + 1/4*m**t - 1/4*m**4 + 0*m**3 = 0.
-1, 0, 1
Let h = -3 - -5. Suppose 2*v + 4 - 2*v**2 + 2*v - h*v + 0*v**2 = 0. What is v?
-1, 2
Find r, given that -5/3*r**4 + 8/3*r**3 - 8/3*r - 4/3 + 3*r**2 = 0.
-1, -2/5, 1, 2
Determine g so that -2/5*g**2 - 2*g**4 - 16/5*g**3 + 0 + 4/5*g = 0.
-1, 0, 2/5
Let i(h) = 5*h. Let c be i(1). Suppose 0 = c*p - 3 - 12. Factor -3*o**3 + o**3 - o**2 - o**4 + 0*o**p.
-o**2*(o + 1)**2
Let m(x) = x**3 + x + 2. Let z be m(-1). Suppose 5*a - 4*v = z, 2*v = 4*a + 4*v. Factor 0*s**4 + 0*s**2 + 0 + 1/5*s**3 - 1/5*s**5 + a*s.
-s**3*(s - 1)*(s + 1)/5
Suppose -2*k = 2*k + 28. Let v be 12/(-21) - 32/k. Factor 0*b**2 + 1/4*b**v + 1/2*b - 1/2*b**3 - 1/4.
(b - 1)**3*(b + 1)/4
Let j(h) be the second derivative of h**6/40 + 9*h**5/20 + 11*h**4/8 - 21*h**3/2 + 147*h**2/8 - h. Factor j(u).
3*(u - 1)**2*(u + 7)**2/4
Let a be (1 - 2/(-2))*339/2260. Let u(c) be the second derivative of 0*c**2 + 2*c + 0 + 7/50*c**5 - a*c**4 + 2/15*c**3. Find z such that u(z) = 0.
0, 2/7, 1
Let w(u) = u**2 - 6*u - 5. Let m be w(6). Let o = -3 - m. Determine y, given that 2*y**2 - 5*y - 2*y + 3*y - o*y + 4 = 0.
1, 2
Let m(l) be the second derivative of -l**6/900 - l**5/100 - l**4/30 - l**3/3 - 2*l. Let n(v) be the second derivative of m(v). Suppose n(b) = 0. What is b?
-2, -1
Let n(m) = 3*m + 8. Suppose 4*f + 5 = -3. Let d be n(f). Factor -1/2*z + 0 - 1/2*z**d.
-z*(z + 1)/2
Let p(s) = -6*s + 15*s**3 - 5*s**2 + 6*s**2 + 11*s**2. Let d(b) = 16*b**3 + 13*b**2 - 7*b. Let x(h) = -3*d(h) + 4*p(h). Factor x(o).
3*o*(o + 1)*(4*o - 1)
Let j(s) be the first derivative of 1/12*s**4 - 6 - 1/3*s**3 + 0*s**2 + 4/3*s. Factor j(h).
(h - 2)**2*(h + 1)/3
Let i(m) be the third derivative of -m**4/24 + m**3/6 + m**2. Let a be i(-1). Factor 2 - 2 - 1 + f**a.
(f - 1)*(f + 1)
Suppose 0*x - 5 = -x. Solve -f**2 + f - x + 6 - 1 = 0.
0, 1
Suppose -24 = -4*c + 4*w, -15 = -4*c + 5*w + 12. Let y be (-2)/4 + (-7)/(-6). Factor -2/3*u**2 + y*u**c - 2/3*u**5 + 0 + 0*u + 2/3*u**4.
-2*u**2*(u - 1)**2*(u + 1)/3
Factor 0 - 4/5*i - 6/5*i**2 - 2/5*i**3.
-2*i*(i + 1)*(i + 2)/5
Let t(w) = 15*w**4 - 3*w**3 + 21*w**2 + 3*w. Suppose 5*v + g + 14 = -75, -4 = -4*g. Let f(h) = -h**4 - h**2. Let i(p) = v*f(p) - t(p). Factor i(r).
3*r*(r - 1)*(r + 1)**2
Let b(v) be the first derivative of -v**6/30 + v**5/20 + v**4/6 + 3*v + 2. Let z(c) be the first derivative of b(c). Let z(a) = 0. Calculate a.
-1, 0, 2
Let f = 23 + -159/7. Factor f - 2/7*j**2 + 0*j.
-2*(j - 1)*(j + 1)/7
Let k(p) be the first derivative of -1/4*p**2 + 1 + 1/8*p**4 + 0*p + 1/10*p**5 - 1/6*p**3. Find t, given that k(t) = 0.
-1, 0, 1
Let f(p) be the third derivative of p**8/16800 + p**7/6300 - p**6/1800 - p**5/300 + p**4/8 + 5*p**2. Let h(o) be the second derivative of f(o). Factor h(n).
2*(n - 1)*(n + 1)**2/5
Let l = -20 + 31. Let i = -21/2 + l. Suppose -1/2*n + 0*n**2 + 0 + i*n**3 = 0. Calculate n.
-1, 0, 1
Let t(g) be the third derivative of g**7/315 - 7*g**6/540 + g**5/90 + g**4/36 - g**3/6 + 2*g**2. Let w(q) be the first derivative of t(q). Factor w(s).
2*(s - 1)**2*(4*s + 1)/3
Let x(t) = t + 3. Let a = 4 - 7. Let p be x(a). Factor 7/2*b**4 - b**2 + 5/2*b**3 + p + 0*b.
b**2*(b + 1)*(7*b - 2)/2
Suppose -18 = -4*p - m, 2 + 0 = 3*p - 5*m. Factor 2*d + 3*d**3 - 3*d**5 + 2*d - p*d.
-3*d**3*(d - 1)*(d + 1)
Let h be (-3)/6*2*0. Let j = h + 0. Factor 0*b - 1/4*b**2 + j - 1/2*b**3 - 1/4*b**4.
-b**2*(b + 1)**2/4
Let l = 2 - 0. Let u(h) = -h + 3. Let x be u(0). Factor i**5 + l*i**3 - i**2 + 4*i**4 - 3*i**4 - x*i**3.
i**2*(i - 1)*(i + 1)**2
Let u(v) be the second derivative of 2*v**7/105 - 2*v**6/15 + v**5/3 - v**4/3 - 2*v**2 + 3*v. Let m(y) be the first derivative of u(y). Factor m(x).
4*x*(x - 2)*(x - 1)**2
Let f(o) = -7*o**3 + o**2 - 6*o + 7. Let k(x) = -5*x**2 - 4 + 6*x**3 + 3*x**2 + 6*x - 2 + 0*x**3. Let z(y) = -4*f(y) - 5*k(y). Factor