*2 = 0 for x.
-1, 0, 1
Let a(x) be the first derivative of -x**3/7 - 15*x**2/14 - 12*x/7 - 6. What is v in a(v) = 0?
-4, -1
Let q(h) be the second derivative of -h**5/10 - h**4/2 + 4*h**2 - 8*h. Factor q(n).
-2*(n - 1)*(n + 2)**2
Factor -8/3*v + 2/3*v**2 + 8/3.
2*(v - 2)**2/3
Let m(a) be the second derivative of -a**4/8 + 2*a**3 - 12*a**2 + 2*a + 4. Factor m(s).
-3*(s - 4)**2/2
Let t be 3/14*42/540. Let s(q) be the third derivative of 1/300*q**5 - t*q**4 + 1/30*q**3 + 0*q + 0 + 2*q**2. Solve s(n) = 0 for n.
1
Factor 5/2*l**3 + 0 + 0*l - 5*l**2.
5*l**2*(l - 2)/2
Let p be (-6)/(1 - -2) + 12. Let w be 20/(-6)*(-18)/p. Factor 5 - 3*d**2 + w*d - 5 - 3.
-3*(d - 1)**2
Let k = -796/5 + 160. Let i(a) be the first derivative of -4/3*a**3 + 1/6*a**6 + k*a**5 + 0*a + 3 - 2*a**2 + 3/4*a**4. Let i(r) = 0. What is r?
-2, -1, 0, 1
Let f(i) = i + 2. Let u be f(0). Solve -o**2 - 3*o**u + o**5 - o**4 + 3*o**3 + 5*o**2 + 4*o**4 = 0.
-1, 0
Solve 6*t - 21*t**3 + 7*t**2 - 4*t**2 - 3*t**4 + 15*t**3 = 0.
-2, -1, 0, 1
Let k(q) = q**3 + 9*q**2 + 13*q - 4. Let z be k(-7). What is s in 0*s**2 - 2/5*s - 2/5*s**5 + 4/5*s**z + 0 + 0*s**4 = 0?
-1, 0, 1
Factor 16*y + 31*y**3 + y**5 + 9*y**4 + 5 - 5*y**3 + 5*y + 34*y**2.
(y + 1)**4*(y + 5)
Let o be (-15)/(-6) + 3 + 16/(-4). Suppose 0 + 6*f + o*f**3 + 6*f**2 = 0. Calculate f.
-2, 0
Let c(y) be the first derivative of y**2 - 2/5*y**5 + 0*y - 1/2*y**4 - 4 + 2/3*y**3. Factor c(f).
-2*f*(f - 1)*(f + 1)**2
Let a be 38/8 + 33/(-44). Let t(m) be the second derivative of 0 - 2*m**a - 3*m**2 + 9/2*m**3 + m**6 + 3*m - 9/10*m**5 - 3/14*m**7. Find b, given that t(b) = 0.
-1, 1/3, 1, 2
Let s(p) = p**2. Let a(d) = -6*d**2 + 3*d - 2. Let v = 5 + -4. Let z(l) = v*a(l) + 5*s(l). Factor z(c).
-(c - 2)*(c - 1)
Let m(j) = -j + 10. Let r be m(8). Factor r*c**3 - 3*c**3 + c - 4*c + 3*c**2 - 1 + 2.
-(c - 1)**3
What is v in 0*v - 35/12*v**5 + 0 + 1/3*v**2 + 59/12*v**4 - 7/3*v**3 = 0?
0, 2/7, 2/5, 1
Let t = -8 + 11. Let o = t + -3. Suppose o + 1 + 2 - 1 - 2*a**2 = 0. Calculate a.
-1, 1
Let w(g) = 3*g**2 + 4*g + 1. Let j(b) be the third derivative of b**4/24 + b**3/6 + 2*b**2. Let n(u) = -4*j(u) + w(u). Factor n(m).
3*(m - 1)*(m + 1)
Let v be 4/(-22) - (-90)/132. Suppose 13 - 15 = -s. Factor n - 1/2 - v*n**s.
-(n - 1)**2/2
Factor 6*b**2 - 5*b**3 - 19*b**2 + 5*b**4 + 5*b**5 + 8*b**2.
5*b**2*(b - 1)*(b + 1)**2
Let g(o) be the first derivative of -1 + 0*o + 1/3*o**2 + 2/15*o**5 - 2/9*o**3 - 1/6*o**4. Factor g(n).
2*n*(n - 1)**2*(n + 1)/3
Let q = -5/364 + 64537/364. Let d = q + -177. What is h in 0*h**2 + d - 2/7*h**4 - 4/7*h**3 + 4/7*h = 0?
-1, 1
Let k(s) = s**2 + s. Let l(m) = 10*m**2 + 11*m. Let f be (6/(-9))/(2/6). Let t be (-1 - f)/((-1)/18). Let a(h) = t*k(h) + 2*l(h). Solve a(v) = 0 for v.
-2, 0
Factor 3/4*y**5 + 0*y + 0 - 3/4*y**3 + 3/4*y**2 - 3/4*y**4.
3*y**2*(y - 1)**2*(y + 1)/4
Let c be (-4)/22 + 28*6/77. Factor -2/3*w**3 - 2/3*w**5 + 0*w**c + 0 + 0*w - 4/3*w**4.
-2*w**3*(w + 1)**2/3
Suppose 3*b = r - 3*r + 11, -3*b = r - 13. What is o in -5*o**2 + 3*o**4 - 4*o - 4*o**4 - b*o**3 - 3*o**2 = 0?
-2, -1, 0
Let k(q) = -17*q**3 - 11*q. Let o = 8 - 6. Suppose 0 = 2*u + o*d - 32, -d - 6 = 4*u - 55. Let i(w) = 6*w**3 + 4*w. Let h(a) = u*i(a) + 4*k(a). Factor h(c).
-2*c**3
Let r(h) = 10*h**5 + 7*h**4 + 10*h**3 - 9*h**2 + 9*h + 9. Let n(w) = w**5 + w**4 + w**3 - w**2 + w + 1. Let z(k) = -18*n(k) + 2*r(k). Factor z(f).
2*f**3*(f - 1)**2
Let 4 - 8*w + 6*w**3 + 2*w**3 + 14*w**4 - 18*w**4 = 0. What is w?
-1, 1
Let t(a) be the third derivative of -a**7/105 - a**6/30 + a**4/6 + a**3/3 - 4*a**2. Factor t(f).
-2*(f - 1)*(f + 1)**3
Let m be 1 - -2*(-2 + 3). Factor g**4 - 1 + 0*g**4 + 1 - g**m.
g**3*(g - 1)
Let k(c) = -c**2 - 10*c + 13. Let u be k(-11). Let g(i) be the third derivative of -1/12*i**3 + 2*i**u + 0*i - 1/120*i**5 + 1/24*i**4 + 0. Factor g(a).
-(a - 1)**2/2
Let q(d) be the third derivative of -d**5/10 - 5*d**4/12 - 2*d**3/3 + 8*d**2. Solve q(j) = 0.
-1, -2/3
Let v(y) = -5*y**4 - 30*y**3 - 45*y**2 - 4*y. Let w(p) = 5*p**4 + 30*p**3 + 45*p**2 + 5*p. Let r(b) = -5*v(b) - 4*w(b). Let r(c) = 0. What is c?
-3, 0
Let -4/7*n**3 - 16/7*n + 0 - 16/7*n**2 = 0. Calculate n.
-2, 0
Let a(d) be the second derivative of -d**7/42 - d**6/15 - d**5/20 + d. Determine j so that a(j) = 0.
-1, 0
Suppose -y = y - 84. Determine k, given that 4*k**2 - y + 42 - 2*k**4 - 2*k**3 = 0.
-2, 0, 1
Let o(m) = m**3 + 7*m**2 - m - 4. Let n(r) = -4*r + 1. Let s be n(2). Let p be o(s). Find y such that 8*y**2 - 2*y**p + 3 - 12*y + 0*y**2 + 1 + 2*y = 0.
1, 2
Solve -3/5 - 2/5*i + 1/5*i**2 = 0.
-1, 3
Let f(i) = 12*i**4 - 3*i**3 - 9*i. Let z(d) = 3*d**4 - d**3 - 2*d. Let u(t) = -2*f(t) + 9*z(t). Solve u(y) = 0.
0, 1
Let m(g) be the first derivative of 1/7*g**4 - 6/35*g**5 + 0*g**2 + 3 + 2/21*g**3 + 0*g. Let m(o) = 0. Calculate o.
-1/3, 0, 1
Let w be (2 + 0)*(4 - 3). Determine l, given that -136*l**w + 16*l - 196*l**4 - 26*l**3 - 298*l**4 + 210*l**5 + 430*l**3 = 0.
0, 2/7, 2/5, 2/3, 1
Let s(c) be the second derivative of -2*c**2 + 0*c**4 + 0 + 1/30*c**5 + 0*c**3 + 3*c. Let i(g) be the first derivative of s(g). Let i(b) = 0. What is b?
0
Let p(x) be the second derivative of 5*x**4/3 - 4*x**3/3 + 5*x. Factor p(h).
4*h*(5*h - 2)
Let s(d) be the second derivative of 0 + 0*d**2 - 3*d + 0*d**3 + 3/20*d**5 + 1/2*d**4. Determine q so that s(q) = 0.
-2, 0
Let p(y) be the third derivative of y**6/360 + y**5/60 + y**3/3 + 3*y**2. Let q(x) be the first derivative of p(x). Suppose q(m) = 0. What is m?
-2, 0
Let o(p) = 9*p**3 + 12*p**2 + 41*p + 16. Let i(b) = -5*b**3 - 6*b**2 - 21*b - 8. Let j(m) = -11*i(m) - 6*o(m). Determine y so that j(y) = 0.
-1, 8
Let z(s) be the first derivative of -s**5/35 - s**4/7 - 5*s**3/21 - s**2/7 + 11. Suppose z(k) = 0. What is k?
-2, -1, 0
Let a = 83/3 - 27. Let 0*p**2 - a*p**4 + 4/3*p**3 + 0 + 0*p = 0. What is p?
0, 2
Factor 1/3*j**3 - 3*j**2 + 8*j - 16/3.
(j - 4)**2*(j - 1)/3
Let h(r) be the third derivative of -r**6/30 + r**4/6 - 4*r**2. Factor h(q).
-4*q*(q - 1)*(q + 1)
Let l be (48/(-168))/((-10)/14). Factor -2/5*o - l*o**2 + 2/5 + 2/5*o**3.
2*(o - 1)**2*(o + 1)/5
Suppose -4*k + 27 = 3. Suppose -3*h + 2 = q, -5*h + 2*h - 3*q = k. Let 8*v + 0*v - h*v**2 + 8 + 4*v**2 = 0. What is v?
-2
Let m = 39 - 77/2. Solve m*x**2 + 2 + 2*x = 0 for x.
-2
Let o be (2/(-20))/(3 + 235/(-75)). Suppose -3/4 + 0*p**2 + o*p**4 + 3/2*p**3 - 3/2*p = 0. What is p?
-1, 1
What is w in -3*w**3 + 3*w**2 - 12*w**2 + 6*w**2 = 0?
-1, 0
Suppose 5*o + 1 = 4*o. Let j be 2*(3 + 36/(-8)). Let l(m) = m**2 - m. Let p(i) = -i**3 + 1. Let z(v) = j*l(v) + o*p(v). Factor z(r).
(r - 1)**3
Suppose 3 = 4*v - 8*w + 3*w, 2*v + 5*w - 9 = 0. Factor -1/4*p + 1/2 + 1/4*p**3 - 1/2*p**v.
(p - 2)*(p - 1)*(p + 1)/4
Let f be (12/(-30))/((-2)/90). Let l be (-2)/9 - (-76)/f. Suppose 2/3*b**2 - 2/3*b**l - 2/3*b**3 + 0 + 2/3*b = 0. What is b?
-1, 0, 1
Suppose -5*y = -5 - 15. Suppose 0 = -5*s + s - 3*f + 17, 0 = s - 2*f + y. Find b, given that -2*b + b + 3*b**5 - 2*b**5 + 0*b - 2*b**2 + s*b**4 = 0.
-1, 0, 1
Let i(a) be the second derivative of 0 - 3/40*a**5 + 1/28*a**7 - 3*a + 0*a**6 + 0*a**3 + 0*a**4 + 0*a**2. Suppose i(u) = 0. What is u?
-1, 0, 1
Let l be (-3)/(2 + -4 + 1). What is w in 0*w**l - 1 + 1 + 2*w**3 = 0?
0
What is r in -2*r**2 + r**2 + 4*r**2 - 3 = 0?
-1, 1
Let j(u) be the third derivative of 2*u**7/1575 - u**6/180 + u**5/225 + 14*u**2. Find s such that j(s) = 0.
0, 1/2, 2
Let c(f) be the second derivative of -f**5/90 - f**4/9 - 4*f**3/9 - 8*f**2/9 + 13*f. What is g in c(g) = 0?
-2
Let i = -1 + -4. Let z be (-1 - -1)/(-3 - i). Find p, given that 4/5*p**2 - 2/5 + z*p**3 - 2/5*p**4 + 0*p = 0.
-1, 1
Let z(v) be the second derivative of -1/90*v**5 - 1/2*v**2 + 0 + 2*v + 0*v**4 + 0*v**3. Let b(a) be the first derivative of z(a). Let b(p) = 0. What is p?
0
Solve 0*q**3 - 23*q**2 + 14*q**2 - q - q**3 + 7*q**2 = 0.
-1, 0
Let s(g) be the first derivative of -g**6/40 - g**5/10 - g**4/8 - 2*g**2 + 2. Let p(r) be the second derivative of s(r). Suppose p(d) = 0. Calculate d.
-1, 0
Let m(s) be the third derivative of -s**7/195 - 19*s**6/780 - s**5/26 - s**4/156 + 2*s**3/39 - 4*s**2. Factor m(l).
-2*(l + 1)**3*(7*l - 2)/13
Let n(v) be the second derivative of -3*v**5/20 + v**4/2 - v**3/2 + 9*v. Suppose n(o) = 0. Calculate o.
0, 1
Deter