vative of s**6/105 - s**5/70 - s**4/42 + s**3/21 + 18*s. Determine i, given that z(i) = 0.
-1, 0, 1
Let p = -2 + 5. Let 0*u**2 - 3*u - 3*u**p + 2*u**2 + 4*u**2 = 0. What is u?
0, 1
Suppose 0 = p - 7 + 2. Let q(y) be the third derivative of 0*y - 49/480*y**6 + 77/240*y**p + 3*y**2 + 1/6*y**3 - 1/3*y**4 + 0. Factor q(u).
-(u - 1)*(7*u - 2)**2/4
Let f be 5/12 + (-5)/20. Let h = 1/2 + f. Factor 0 + 0*y + h*y**3 + 0*y**2.
2*y**3/3
Let p be -6*(-2)/((-4)/(-1)). Let d(i) be the third derivative of 2/21*i**p + 1/14*i**5 - 3/28*i**4 + 0*i + 0 - 11/420*i**6 + 2*i**2 + 1/245*i**7. Factor d(n).
2*(n - 1)**3*(3*n - 2)/7
Let r(a) be the first derivative of 2/33*a**3 - 2/11*a**2 + 0*a - 1. Factor r(m).
2*m*(m - 2)/11
Let h(t) be the first derivative of 1/30*t**5 + 0*t + 1/12*t**3 - 5/48*t**4 - 1 - 3/2*t**2. Let j(g) be the second derivative of h(g). Factor j(c).
(c - 1)*(4*c - 1)/2
Let x be ((-2)/(-5))/(2/10). Let f = x - -1. Find t, given that t**2 + 2 + 4*t**f + 2 - 4 = 0.
-1/4, 0
Let p(k) be the third derivative of k**5/75 + 3*k**4/5 + 54*k**3/5 - 2*k**2 - 4. Suppose p(q) = 0. What is q?
-9
Suppose 5*d + 3*t - 29 = 0, 2*t + 2*t = 5*d - 8. Let o = 31/92 + -2/23. Factor 0 + 1/4*z**3 + 1/4*z**2 - 1/4*z**d - o*z.
-z*(z - 1)**2*(z + 1)/4
Let p(o) be the third derivative of -o**7/210 - o**6/30 - o**5/10 - o**4/6 - o**3/6 - 31*o**2. Factor p(k).
-(k + 1)**4
Let j(b) be the first derivative of -12*b**5/5 + b**4 + 4*b**3 - 2*b**2 + 2. Factor j(n).
-4*n*(n - 1)*(n + 1)*(3*n - 1)
Let o(n) be the second derivative of 0 + 3*n + 3/2*n**4 + 4*n**2 + 4*n**3. Factor o(r).
2*(3*r + 2)**2
Suppose -2*v = -2*c + 328, -4*v - 171 = -c - 19. Let m be (8/c)/((-1)/(-6)). Solve 0*g + 0 + 2/7*g**2 + m*g**4 + 4/7*g**3 = 0.
-1, 0
Let p(f) = -f**2 - 2*f + 3. Let q(w) = 3*w**2 + 5*w - 8. Let i(j) = -11*p(j) - 4*q(j). Factor i(b).
-(b - 1)**2
Suppose 5*q + n = 4*n - 41, 4*n = -12. Let l = -8 - q. Factor -2/3*u**5 + 0 + 0*u + l*u**3 + 0*u**4 - 4/3*u**2.
-2*u**2*(u - 1)**2*(u + 2)/3
Let g = 872 - 2615/3. Find r such that r**4 - g - 2/3*r**2 + r - 2/3*r**3 - 1/3*r**5 = 0.
-1, 1
Let j(i) be the second derivative of -i**7/2100 + i**6/225 - i**5/60 + i**4/30 + i**3 - i. Let u(v) be the second derivative of j(v). Factor u(m).
-2*(m - 2)*(m - 1)**2/5
Solve 1/7*r**4 + 1/7*r**3 - 1/7*r + 0 - 1/7*r**2 = 0 for r.
-1, 0, 1
Suppose 42 = 3*c + 5*z, 5*z + 0*z - 60 = -5*c. Let o = c + -9. What is i in o + 1/2*i**2 + 0*i = 0?
0
Let t(v) = v**2 - 3*v - 4. Let q be t(4). Suppose q*f - f = -10. Solve 10*k - f*k + k**2 = 0.
0
Let b(o) be the third derivative of -o**7/168 - o**6/48 + o**5/48 + 5*o**4/48 - 6*o**2. Factor b(n).
-5*n*(n - 1)*(n + 1)*(n + 2)/4
Let s be 1 + 16/(-4) - 2. Let n = -3 - s. Factor 0 + 3/4*c**n - 3/4*c**3 + 1/4*c**4 - 1/4*c.
c*(c - 1)**3/4
Let p(l) be the first derivative of 0*l**2 + 0*l + 1/8*l**4 - 1/3*l**3 - 8 + 1/10*l**5. Determine y so that p(y) = 0.
-2, 0, 1
Let s(h) be the first derivative of 29/7*h**4 + 4/21*h**6 + 4*h**2 + 1 - 10/7*h**5 - 122/21*h**3 - 8/7*h. What is b in s(b) = 0?
1/4, 1, 2
Let j(x) = x**2. Let n(d) = d**3 - 2*d**2 - 1. Let s(y) = -3*j(y) - n(y). Let t(c) = c**4 + 3*c**3 + c**2 - c - 2. Let p(a) = -2*s(a) - t(a). Factor p(h).
-h*(h - 1)*(h + 1)**2
Suppose -2*v - 2 = -j, -2*j = -6*j - v - 1. Suppose j*u + 1/2*u**2 + 1/2*u**4 + 0 - u**3 = 0. Calculate u.
0, 1
Let u(p) be the first derivative of -p**6/2 - 3*p**5 - 9*p**4/4 + 9*p**3 - 10. Determine b so that u(b) = 0.
-3, 0, 1
Let m be 2/(-4) - 1/(-2). Suppose -2*w = -6*w. Determine z, given that -1/3*z**2 + m*z + w - 1/3*z**3 = 0.
-1, 0
Let s(x) be the second derivative of 0*x**2 - 1/9*x**3 + 2*x - 1/12*x**4 + 0. Suppose s(j) = 0. Calculate j.
-2/3, 0
Let c be (5 - 2)/(0 - -1). Factor -5*d**3 - 3*d**5 + 2*d**5 + 3*d**c - d**5 + 4*d**4.
-2*d**3*(d - 1)**2
Let x(n) = n**2 - 14*n + 51. Let p be x(7). What is w in -2/5*w**4 - 2/5*w**p + 0 + 0*w + 4/5*w**3 = 0?
0, 1
Solve 9/5*o**5 - 24/5*o**4 + 12/5*o + 0 + 4*o**2 - 17/5*o**3 = 0 for o.
-2/3, 0, 1, 3
Let d(p) be the third derivative of -3*p**6/160 + 7*p**5/240 + p**4/48 + 3*p**2. Factor d(g).
-g*(g - 1)*(9*g + 2)/4
Let q(w) be the first derivative of w**4/4 - 2*w**3/3 - w**2/2 - 2*w + 2. Let x be q(3). Find j, given that -4*j**4 - j**4 + x*j**4 - j**5 = 0.
-1, 0
Let z(y) be the third derivative of -y**8/504 - y**7/630 + y**6/60 - y**5/180 - y**4/36 - 24*y**2. Find m such that z(m) = 0.
-2, -1/2, 0, 1
Let t(g) be the third derivative of 1/120*g**4 + 0*g + 0*g**3 + 0 - 3*g**2 + 0*g**5 - 1/600*g**6. Factor t(o).
-o*(o - 1)*(o + 1)/5
Factor 4/9*z**2 - 2/3 - 8/9*z + 8/9*z**3 + 2/9*z**4.
2*(z - 1)*(z + 1)**2*(z + 3)/9
Let a be 48/64 - 3*2/(-3). Factor 9/4*p**2 - 1/4 + p**4 - 1/4*p - a*p**3.
(p - 1)**3*(4*p + 1)/4
Let j(h) be the second derivative of 3*h**5/20 - h**4/3 + h**3/6 - 14*h. Factor j(x).
x*(x - 1)*(3*x - 1)
Factor 0*y - 1/3*y**3 + 0 + 0*y**2 - 1/3*y**4.
-y**3*(y + 1)/3
Let h(q) = q**2 - 13*q. Let m be h(13). Solve -1/4*g**2 - 1/4*g**3 + 1/4*g**4 + m + 1/4*g = 0.
-1, 0, 1
Let t(q) be the third derivative of -1/120*q**6 + 0*q**3 + 0*q**4 + 0*q - 1/30*q**5 + 0 - 4*q**2. Find p, given that t(p) = 0.
-2, 0
Let w(g) be the first derivative of g**5/25 - g**3/5 - g**2/5 + 17. Factor w(h).
h*(h - 2)*(h + 1)**2/5
Let t(p) be the first derivative of p**6/360 - p**5/120 - p**4/12 + 2*p**3/3 - 3. Let d(y) be the third derivative of t(y). Factor d(z).
(z - 2)*(z + 1)
Let p(t) = -t + 3. Let d be p(-6). Let m = d + -9. Solve 0 + 2/3*q**2 + m*q = 0 for q.
0
Let h(v) be the third derivative of v**9/9072 + v**8/5040 - v**7/2520 - v**6/1080 - v**3/3 + 3*v**2. Let u(r) be the first derivative of h(r). Factor u(i).
i**2*(i - 1)*(i + 1)**2/3
Suppose 0*w - 2/7 + 2/7*w**2 = 0. What is w?
-1, 1
Suppose 2*d + 5 - 9 = 0. Factor 3*r**3 + 2*r**2 + 2*r**5 - 6*r**4 - 4*r**d + 3*r**3.
2*r**2*(r - 1)**3
Let k(y) be the third derivative of 1/4*y**4 + 3/2*y**3 + 0 - 1/20*y**5 - y**2 + 0*y. Suppose k(o) = 0. What is o?
-1, 3
Let m be (-2)/(-2) + -1 + 5. Suppose 2*r + 2 - 8 = 0. Factor 2*y**m - 2*y**r - y + y.
2*y**3*(y - 1)*(y + 1)
Let s(l) = 2*l**2 - 26*l + 24. Let q be s(12). Let g(z) be the third derivative of 0*z - 1/84*z**4 + 0*z**3 + 2*z**2 + q*z**5 + 1/420*z**6 + 0. Factor g(m).
2*m*(m - 1)*(m + 1)/7
Suppose -16*s + 11*s = -15. Suppose 2*x = 3*n + 5, -3*n + 4*n + 15 = 4*x. What is o in -2*o**3 - 7*o**2 - 2*o**2 + 1 + 5*o - s*o**3 + 7*o**x + 1 = 0?
-1, -2/7, 1
Factor 1/6*x**3 + 0*x**2 + 0 + 0*x.
x**3/6
Suppose 4*b + 4 = 3*n - 6, -b + 1 = n. Let y(p) be the second derivative of -1/10*p**5 - 1/3*p**4 + 0 + 0*p**n + 3*p - 1/3*p**3. Factor y(j).
-2*j*(j + 1)**2
Let d(s) = -s**2 + 7*s + 10. Let z be (-3 + (-39)/(-9))*6. Let a be d(z). Factor -1/5*o**3 + 0 + 0*o**4 + 0*o + 1/5*o**5 + 0*o**a.
o**3*(o - 1)*(o + 1)/5
Suppose 6 = 3*k - 12. Factor -q**2 + 3*q - 2*q - 6 + k.
-q*(q - 1)
Let c(x) be the second derivative of -x**7/7560 - x**6/540 - x**5/90 - x**4/6 + 4*x. Let z(m) be the third derivative of c(m). Factor z(o).
-(o + 2)**2/3
Suppose 4*x = -4*f + 52, 2*f = -2*f + 8. Suppose 4*b + 12 = 2*a, -4*a - 6*b = -b - x. What is o in -1/5*o**a + 1/5*o**3 + 0 + 0*o + 0*o**2 = 0?
0, 1
Let h be (-2)/7 + 60/14. Suppose -4*j**3 + 2*j**2 + 0*j**h + j**4 + 0*j**4 + j**4 = 0. Calculate j.
0, 1
Let f(s) = s**3 + 3*s**2 - 4*s + 1. Let p be f(-4). Suppose -p + 16 = 5*v. Let 7*q - 5*q**5 + 0*q**5 + q**5 - 7*q**2 - q**v - 1 - 2*q + 8*q**4 = 0. Calculate q.
-1, 1/2, 1
Let f(q) be the second derivative of q**7/5040 - q**6/720 - q**4/12 + 4*q. Let k(v) be the third derivative of f(v). Factor k(j).
j*(j - 2)/2
Suppose -5*g = r, 9*g - 13*g = 4*r. Determine l, given that r*l**2 + 0*l + 0*l**4 - 1/2*l**3 + 0 + 1/2*l**5 = 0.
-1, 0, 1
Let i = -1 + 3. Determine q, given that 4 + q**3 - 1 - 1 + q**3 - 2*q - 2*q**i = 0.
-1, 1
Let y = -1 + 4. Suppose -4*i - 4 = -y*a, -1 = -3*a + 11. Factor -3*n**2 - n**i + 4 + 3*n**5 - 8*n**3 + 6*n - n**5.
2*(n - 2)*(n - 1)*(n + 1)**3
Let f be ((-35)/(-6))/(-5) + -4. Let h = f - -17/3. Factor 1/4*s + 1/2*s**2 - 1/4*s**3 - h.
-(s - 2)*(s - 1)*(s + 1)/4
Let u(o) be the third derivative of -2*o**2 - 1/6*o**3 - 13/240*o**5 + 1/8*o**4 - 1/840*o**7 + 1/80*o**6 + 0 + 0*o. Suppose u(m) = 0. Calculate m.
1, 2
Solve 0 + 1/3*f**2 + 1/3*f = 0 for f.
-1, 0
Let l(z) = -z - 8. Let k be l(-10). Solve 2*r - 2*r