irst derivative of -1/12*v**4 + m*v + 2 + 0*v**2 - 1/9*v**3. Let i(y) = 0. What is y?
-1, 0
Suppose 0 = -5*a - r - r - 98, -2*a - 20 = -4*r. Let h = 55/3 + a. Determine c so that h*c**2 - c + 2/3 = 0.
1, 2
Let r(i) be the third derivative of -12*i**8/7 - 176*i**7/35 - 169*i**6/30 - 44*i**5/15 - 2*i**4/3 - 4*i**2. Factor r(u).
-4*u*(3*u + 2)**2*(4*u + 1)**2
Let j(l) be the second derivative of -l**6/6 + l**5/4 + 5*l**4/4 - 5*l**3/6 - 5*l**2 + 10*l. Suppose j(o) = 0. Calculate o.
-1, 1, 2
Let w(j) = j**3 - j**2 + j. Let h(y) = -4*y**4 - 3*y**3 + 15*y**2 - 11*y. Let b(m) = h(m) + 3*w(m). Factor b(v).
-4*v*(v - 1)**2*(v + 2)
Find w such that -8/5*w**2 - 4/5*w + 6/5*w**4 + 4/5*w**3 + 2/5 = 0.
-1, 1/3, 1
Let j(d) = -4*d**2 - 4*d - 3. Let f(m) = 5*m**2 + 4*m + 4. Let h(a) = -3*f(a) - 4*j(a). Let h(c) = 0. Calculate c.
-4, 0
Suppose 0 = -22*c + 17*c. Let i(d) be the second derivative of -1/24*d**3 - 1/120*d**6 + c + 2*d - 1/16*d**4 + 0*d**2 - 3/80*d**5. Factor i(o).
-o*(o + 1)**3/4
Factor 9*g**4 - 6*g**2 + 119*g**5 - 116*g**5 + 6*g**3 - 5 - 9*g + 2.
3*(g - 1)*(g + 1)**4
Let y be 4 + -4 + 4/48. Let o(c) be the second derivative of y*c**3 + 0 - 1/24*c**4 - 2*c + 0*c**2. Factor o(k).
-k*(k - 1)/2
Let y(h) = -12*h**5 + 15*h**4 - 8*h**3 - 32*h**2 + 3*h + 17. Let l(r) = -4*r**5 + 5*r**4 - 3*r**3 - 11*r**2 + r + 6. Let f(n) = 17*l(n) - 6*y(n). Factor f(x).
x*(x - 1)**2*(x + 1)*(4*x - 1)
Factor 2*k**3 - 4/7*k - 10/7*k**2 + 0.
2*k*(k - 1)*(7*k + 2)/7
Let n = -38 - -42. Factor -4*q**3 - 2*q + 4*q**2 - 2/5*q**5 + 2*q**n + 2/5.
-2*(q - 1)**5/5
Let q(t) be the first derivative of t**5/30 - t**4/9 + t**3/9 - 4*t - 2. Let i(r) be the first derivative of q(r). Let i(m) = 0. Calculate m.
0, 1
Factor 0 - 6/7*v**2 - 2/7*v - 4/7*v**3.
-2*v*(v + 1)*(2*v + 1)/7
Factor -14/5*k - 6/5 - 2*k**2 - 2/5*k**3.
-2*(k + 1)**2*(k + 3)/5
Let j(q) be the first derivative of q**5/5 - 2*q**3/3 + q + 22. Determine a, given that j(a) = 0.
-1, 1
Let f(z) be the first derivative of 0*z**2 - 1/90*z**6 + 0*z**3 - 1/60*z**5 + 0*z**4 - 2*z - 2. Let s(n) be the first derivative of f(n). Solve s(r) = 0.
-1, 0
Let p be (8/(5 + -3))/1. Factor -4*b**p - 4*b + 2*b**4 + 4*b**3 + 2*b**3 - 4*b.
-2*b*(b - 2)**2*(b + 1)
Suppose 6 = 3*s + 3*c, -4*s + s - 5*c = -6. Factor 0*m + m**s - 2*m**2 - m**2 - m - m**3.
-m*(m + 1)**2
Let q(r) be the third derivative of -4/33*r**3 - 2*r**2 + 0*r - 27/110*r**5 + 0 - 3/11*r**4. Factor q(w).
-2*(9*w + 2)**2/11
Let k = -6 - -11. Determine c, given that 8*c**4 - 2*c + 4*c**5 - 6*c**k + 6*c**2 - 12*c**3 + 2*c**2 = 0.
0, 1
Let f(x) = -5*x**2 + 10*x. Let a(n) = -5*n**2 + 10*n + 1. Let j(m) = 5*a(m) - 6*f(m). Solve j(o) = 0.
1
Let i(l) be the first derivative of l**6 + 3*l**5 + 9*l**4/4 - l**3 - 3*l**2/2 - 3. Find m, given that i(m) = 0.
-1, 0, 1/2
Let b = -4 + 1. Let a be b + 0 - (-24)/4. Factor 0 + 10/9*i**2 + 2/9*i + 8/9*i**a.
2*i*(i + 1)*(4*i + 1)/9
Let x = -1149 - -344701/300. Let a(n) be the third derivative of 0*n + x*n**5 + n**2 + 0 - 1/15*n**3 - 1/120*n**4. Solve a(p) = 0 for p.
-1, 2
Let u(q) be the second derivative of -q**7/189 + q**6/135 + q**5/30 - q**4/54 - 2*q**3/27 + 8*q. Determine h, given that u(h) = 0.
-1, 0, 1, 2
Let s = 20 - 25. Let y = s - -37/5. What is b in 3*b**2 + 3/5*b**4 + 6/5*b + 0 + y*b**3 = 0?
-2, -1, 0
Let d = 12 - 9. Let i(c) be the second derivative of 1/15*c**6 + 0*c**4 + 0 + 0*c**2 + 1/5*c**5 + 0*c**d + 2*c. Find s, given that i(s) = 0.
-2, 0
Let y(q) be the first derivative of 2/3*q**3 - 1/2*q**2 + 0*q - 2 - 2/5*q**5 + 1/6*q**6 + 0*q**4. Factor y(d).
d*(d - 1)**3*(d + 1)
Let a be -2*(3/6 + -1). Suppose -3*v = a - 10. Factor m**3 + m**v - 2*m + 0*m.
2*m*(m - 1)*(m + 1)
Let h(w) be the second derivative of -w**5/5 + w**4/3 + 10*w**3/3 + 6*w**2 - w. Factor h(s).
-4*(s - 3)*(s + 1)**2
Let g(q) be the second derivative of -q**9/19656 + q**8/2184 - 2*q**7/1365 + q**6/585 - q**3/3 - 4*q. Let c(i) be the second derivative of g(i). Factor c(l).
-2*l**2*(l - 2)**2*(l - 1)/13
Suppose -5*i + 22 = 2. Let b(t) be the third derivative of t**5/12 - t**4/12 - 2*t**2. Let o(p) = 4*p**2 - 2*p. Let r(v) = i*o(v) - 3*b(v). Factor r(h).
h*(h - 2)
Let j(z) be the third derivative of -z**8/336 - z**7/210 + 6*z**2. Factor j(q).
-q**4*(q + 1)
Suppose 0 = -4*i + 2*q - 204, 2 + 2 = -2*q. Let m be i/14 - 40/(-10). Solve m*f**2 - 2/7*f**4 - 2/7*f + 0 + 2/7*f**3 = 0 for f.
-1, 0, 1
Factor 11*z - 8*z - z**2 - 2*z**2.
-3*z*(z - 1)
Let k(s) be the first derivative of -s**5/510 - s**4/204 - 7*s**2/2 + 4. Let q(i) be the second derivative of k(i). Factor q(g).
-2*g*(g + 1)/17
Let i be 2 + -2 + 4 + -2. Let f be (3/(-2))/((-99)/12). Factor -4/11 + 10/11*l + f*l**3 - 8/11*l**i.
2*(l - 2)*(l - 1)**2/11
Let k(g) be the third derivative of -5*g**8/336 + 13*g**7/42 - 19*g**6/24 - 145*g**5/12 - 110*g**4/3 - 160*g**3/3 + 4*g**2. Factor k(z).
-5*(z - 8)**2*(z + 1)**3
Let u(x) be the third derivative of -5*x**8/336 + x**6/6 + 37*x**2. Factor u(n).
-5*n**3*(n - 2)*(n + 2)
Let m(d) be the third derivative of d**5/240 + d**4/32 - d**3/6 - 5*d**2. Find k, given that m(k) = 0.
-4, 1
Let p(g) be the third derivative of g**8/336 - g**7/420 - g**6/72 + g**5/60 + g**3/2 - 2*g**2. Let k(q) be the first derivative of p(q). Factor k(y).
y*(y - 1)*(y + 1)*(5*y - 2)
Factor g + g**2 - 3 - 3*g + 2 + 19*g**3 - 17*g**3.
(g - 1)*(g + 1)*(2*g + 1)
Let r(i) be the third derivative of -i**6/120 + i**4/24 - 2*i**2. Let b(t) = 4 + 7*t - 3*t**2 + 7*t**3 - 2*t - 11*t. Let s(n) = 2*b(n) - 4*r(n). Factor s(h).
2*(h + 1)*(3*h - 2)**2
Suppose 3*t = -2*t + 10. Solve 5*j**2 + 4*j - 3*j**2 + t*j - 5*j**2 = 0.
0, 2
Suppose -5*y - 20 = -5*q, 2*y = -40*q + 37*q + 12. Factor -1/2*w**3 + 1/4*w**q - 1/4 + 0*w**2 + 1/2*w.
(w - 1)**3*(w + 1)/4
Suppose 12*k + 72 + 171 - 66*k + 3*k**2 = 0. Calculate k.
9
Let g(n) = n**3 + 15*n**2 + 14*n + 6. Let a be g(-14). Factor -a - 6*r**2 + r**3 - 6*r**2 + 2*r**3 + 18*r - 3*r.
3*(r - 2)*(r - 1)**2
Let m be ((-55)/(-15) - 4)/(-1). Factor b**2 + 4/3*b**3 - m*b + 0.
b*(b + 1)*(4*b - 1)/3
Let c = -39 + 79/2. Let s(z) be the first derivative of -3/4*z**4 - 3 + 1/5*z**5 + 0*z - c*z**2 + z**3. Suppose s(i) = 0. What is i?
0, 1
Let a(k) be the second derivative of -k**5/180 + k**3/18 - k**2/9 - 2*k. Factor a(t).
-(t - 1)**2*(t + 2)/9
Let -40*q + 4*q**3 + 11*q**3 - 11*q**3 - 8 + 14*q**4 - 42*q**2 = 0. Calculate q.
-1, -2/7, 2
Suppose -2*n = -2*q + q - 8, 18 = 5*n - 3*q. Let z(r) be the third derivative of 0*r**4 - 2*r**2 + 0*r**3 + 0*r + 0 + 0*r**5 + 1/480*r**n. Factor z(h).
h**3/4
Let o = 169 - 1181/7. Let m be (-3)/(-6) - 9/(-2). What is h in o*h + 2/7*h**m + 0 + 8/7*h**2 + 8/7*h**4 + 12/7*h**3 = 0?
-1, 0
Let v(g) be the second derivative of g**7/28 - 7*g**6/60 + 7*g**5/120 + 17*g**4/72 - 4*g**3/9 + g**2/3 + 16*g. Let v(m) = 0. Calculate m.
-1, 2/3, 1
Suppose -4*m - 8*m**2 - 12 + 0*m + 32*m = 0. What is m?
1/2, 3
Factor -4/9*b - 2/9*b**2 + 4/9*b**3 + 2/9*b**4 + 0.
2*b*(b - 1)*(b + 1)*(b + 2)/9
Let g(t) = -2*t - 5. Let a be g(-4). Let v be 0/(-1) + a/6. Let -1/2*w**3 + 1/2*w**2 + 0 - 1/2*w**4 + 0*w + v*w**5 = 0. What is w?
-1, 0, 1
Let 0 + i - 1/3*i**2 = 0. What is i?
0, 3
Let u(q) be the first derivative of q**5/5 + q**4/4 - q**3/3 - q**2/2 - 6. Find t, given that u(t) = 0.
-1, 0, 1
Suppose -2*t = 4 + 8. Let w(k) = -k - 7. Let d be w(t). Let l(f) = -f**2 - 3*f - 3. Let u(j) = -j - 1. Let x(z) = d*l(z) + 3*u(z). Solve x(i) = 0.
0
Let p(y) be the second derivative of y**7/7 + y**6/10 - 3*y**5/10 - y**4/4 + 48*y. Find s, given that p(s) = 0.
-1, -1/2, 0, 1
Let o(h) be the second derivative of 3*h**5/80 - h**4/16 - 5*h**3/8 - 9*h**2/8 + 10*h. Factor o(j).
3*(j - 3)*(j + 1)**2/4
Suppose -20/3*g**3 - 2 - 14/3*g**4 + 2*g**5 + 20/3*g**2 + 14/3*g = 0. Calculate g.
-1, 1/3, 1, 3
Let h(f) be the first derivative of -f**5 + 5*f**4/4 - 12. What is s in h(s) = 0?
0, 1
Let p(q) be the third derivative of q**5/30 + q**4/3 + q**3 + 10*q**2. Factor p(v).
2*(v + 1)*(v + 3)
Let t(f) be the second derivative of -1/20*f**5 + 2*f + 0 + 1/6*f**3 + 0*f**2 - 1/12*f**4 + 1/30*f**6. Solve t(z) = 0.
-1, 0, 1
Let s(r) be the second derivative of r**6/90 - r**5/30 + r**3/9 - r**2/6 + 4*r. Factor s(a).
(a - 1)**3*(a + 1)/3
Suppose 4*s + d + 2*d - 11 = 0, 14 = s - 3*d. Factor -3*z**4 - 1/3 + 16/3*z**3 - 14/3*z**2 + 2/3*z**s 