z).
2*z*(z + 1)*(3*z + 2)
Let m(w) be the first derivative of 0*w**2 - 2/33*w**3 + 6 + 0*w - 1/22*w**4. Let m(v) = 0. What is v?
-1, 0
Let d(i) be the third derivative of -1/150*i**5 + 1/300*i**6 + 0*i**3 - 5*i**2 + 0*i - 1/30*i**4 + 0. Determine x, given that d(x) = 0.
-1, 0, 2
Find o such that 0 + 9/7*o**3 - 12/7*o - 12/7*o**4 + 3/7*o**5 + 12/7*o**2 = 0.
-1, 0, 1, 2
Factor 76/5*s - 722/5 - 2/5*s**2.
-2*(s - 19)**2/5
Factor -44*f**2 + f**3 + 4*f + f**3 + 50*f**2.
2*f*(f + 1)*(f + 2)
Let g(c) be the third derivative of -c**8/5880 + c**7/1470 - c**6/1260 + c**3/2 - 3*c**2. Let f(x) be the first derivative of g(x). Find z such that f(z) = 0.
0, 1
Factor 9*b + 3 + 15/4*b**2.
3*(b + 2)*(5*b + 2)/4
Let w(v) be the first derivative of 7*v**6/30 - v**5/10 - 7*v**4/12 + v**3/3 + 7*v - 7. Let j(p) be the first derivative of w(p). Let j(o) = 0. What is o?
-1, 0, 2/7, 1
Let z(p) be the first derivative of 0*p + 1/3*p**3 + 0*p**2 + 1/6*p**6 + 3/4*p**4 + 3/5*p**5 - 1. Factor z(u).
u**2*(u + 1)**3
Suppose -2*f - 2*a = 0, -2*a + 4 = -5*f + 18. Suppose 4*u = -u + 15. Find t, given that -2 + 0*t**3 + 3*t + 0 + f*t**2 - u*t**3 = 0.
-1, 2/3, 1
Let u(m) = -8*m + 1. Let z be u(-1). Let v = -5 + z. Determine i so that 0*i + 0*i**3 - 1/4*i**v + 1/2*i**2 - 1/4 = 0.
-1, 1
Let q(w) be the first derivative of -w**4/2 - 8*w**3/9 + 5*w**2/3 + 4*w/3 - 8. Suppose q(m) = 0. What is m?
-2, -1/3, 1
Let r(m) be the first derivative of -m**5/70 + m**4/7 - 3*m**3/7 + 4*m**2/7 + 6*m + 8. Let o(b) be the first derivative of r(b). Factor o(v).
-2*(v - 4)*(v - 1)**2/7
Let u(w) be the third derivative of -w**6/120 + w**5/60 + w**4/4 + 52*w**2. What is l in u(l) = 0?
-2, 0, 3
Let o(n) = -28*n**2 - 8*n - 4. Let s(c) = 6*c**2 - 5. Let y(i) = -i**2 + 1. Let q(w) = -s(w) - 5*y(w). Let b(g) = o(g) - 24*q(g). Find t, given that b(t) = 0.
-1
Let s(b) = -11*b**5 + 20*b**4 + 8*b**3 + 8*b + 8. Let m(a) = -7*a**5 + 13*a**4 + 5*a**3 + 5*a + 5. Let f(l) = -8*m(l) + 5*s(l). Factor f(g).
g**4*(g - 4)
Let a(i) be the first derivative of 3*i**4/4 + 5*i**3 + 6*i**2 + 17. Determine y so that a(y) = 0.
-4, -1, 0
Let b(g) be the third derivative of -g**7/525 - g**6/100 - g**5/150 + g**4/20 + 2*g**3/15 - 12*g**2. Let b(u) = 0. Calculate u.
-2, -1, 1
Let t(c) be the first derivative of -c**6/15 - 8*c**5/25 - 3*c**4/10 - 16. Let t(y) = 0. Calculate y.
-3, -1, 0
Let j(r) be the first derivative of -3*r**4/4 + r**3 + 3*r**2 - 1. Factor j(l).
-3*l*(l - 2)*(l + 1)
Let s(n) = 5*n**2 - 7*n + 9. Let g(z) = -z**2 + 5*z**2 + 6*z - 8 - 8*z**2. Let f(o) = 7*g(o) + 6*s(o). Suppose f(y) = 0. Calculate y.
-1, 1
Let j(s) = -s + 9. Let x be j(7). Determine a so that -3*a**4 - 3*a**x + 2*a + 3*a**5 + 2*a**3 - 7*a**5 - 3*a**2 + 9*a**4 = 0.
-1, 0, 1/2, 1
Let v be 13 + -16 - 10/(-3). Let f(t) be the first derivative of 2*t + v*t**3 + 3/2*t**2 + 1. Suppose f(h) = 0. Calculate h.
-2, -1
Suppose 21*s = 26*s - 15. Let d(h) be the first derivative of h**2 + 3 - 1/3*h**s - h. Suppose d(i) = 0. Calculate i.
1
Let m = 16 - 16. Let j be 0 - 3*4/(-48). Let m - 1/4*z**3 - j*z**2 + 1/2*z = 0. Calculate z.
-2, 0, 1
Let s = -2 - -4. Factor -s*p**3 + 0 + 3*p - p**4 + 1 - p.
-(p - 1)*(p + 1)**3
What is b in 0*b + 1/6*b**2 + 0 = 0?
0
Let h(l) = l**2 + 10*l - 96. Let o be h(6). Determine b so that 1/7*b**5 + 5/7*b**3 + o*b + 4/7*b**4 + 2/7*b**2 + 0 = 0.
-2, -1, 0
Let l(s) be the third derivative of s**7/560 - 5*s**6/192 + 9*s**5/80 - 2*s**3/3 + 30*s**2. Factor l(f).
(f - 4)**2*(f - 1)*(3*f + 2)/8
Suppose -35 = -6*y - 11. Suppose 0 = -4*k - 2*x + 10, -3*k + 0*x + 25 = 5*x. Factor 3/2*j**3 - 3/4*j**y - 3/4*j**2 + k*j + 0.
-3*j**2*(j - 1)**2/4
Let q(n) be the second derivative of -n**5/5 + 7*n**4/3 + 2*n**3/3 - 14*n**2 - 20*n. Determine x so that q(x) = 0.
-1, 1, 7
Suppose 35 - 10 = 5*b. Let u = 8 - b. Factor -2*g - u*g**3 + 2*g**3 + 3*g**3.
2*g*(g - 1)*(g + 1)
Let a(d) = -d**3 - 7*d**2 + 9*d + 16. Let w be a(-8). Determine o so that -8/7 + w*o - 14*o**2 = 0.
2/7
Let l(z) be the first derivative of -4*z**5/25 - 3*z**4/10 - 2*z**3/15 + 4. Solve l(d) = 0.
-1, -1/2, 0
Let s(a) = 3*a**4 - 11*a**3 + 5*a**2 + 11*a - 3. Let b(n) = 3*n**4 - 12*n**3 + 6*n**2 + 12*n - 3. Let q(u) = -5*b(u) + 6*s(u). Factor q(z).
3*(z - 1)**3*(z + 1)
Let k(p) be the second derivative of 0 + 4*p - 1/30*p**5 + 0*p**2 + 1/9*p**3 + 0*p**4. Factor k(r).
-2*r*(r - 1)*(r + 1)/3
Factor 14*v**3 - 4*v**2 - 3*v**3 - 7*v**3 + 0*v**3 - 12 - 20*v.
4*(v - 3)*(v + 1)**2
Determine w, given that 9*w + 31*w**2 - 6 + 26*w**2 - 60*w**2 = 0.
1, 2
Let x(f) = -8*f**2 + 20*f + 4. Let z(j) = -j**2 - 1. Let m(w) = -x(w) - 8*z(w). Factor m(c).
4*(c - 1)*(4*c - 1)
Let g(t) be the second derivative of -t**6/225 + 2*t**4/45 - 37*t. Factor g(f).
-2*f**2*(f - 2)*(f + 2)/15
Let v(c) be the second derivative of -c**4/18 - c**3/3 - 2*c**2/3 + 8*c. What is m in v(m) = 0?
-2, -1
Let c = 19 + -4. Factor 4*o**2 + 11*o**3 + c*o**3 - 8*o**3.
2*o**2*(9*o + 2)
Factor 0 - 1/2*f + 1/2*f**4 + 1/4*f**2 + 5/4*f**3.
f*(f + 1)*(f + 2)*(2*f - 1)/4
Let v = 80 - 40. Suppose 5*s + 5*d - v = 0, 5*s = 3*d + 2*d + 10. Find r such that s*r**3 + 4*r**4 + 6*r**2 - r**3 + 1 + 4*r - 3*r**4 = 0.
-1
Let r = 251/4 - 62. Determine z so that 9/4*z - 3/4 - 9/4*z**2 + r*z**3 = 0.
1
Let d(t) be the third derivative of 0 + 0*t**3 - 1/150*t**6 - 1/525*t**7 + 0*t - 1/150*t**5 + 0*t**4 - 3*t**2. Find k such that d(k) = 0.
-1, 0
Suppose -3*u = -f - 1 - 7, -5*u + 13 = -2*f. Let r(w) be the third derivative of 4/15*w**5 + 1/3*w**4 - 2*w**2 + 0*w + 0 + 1/6*w**u. Let r(t) = 0. Calculate t.
-1/4
Let m(a) be the first derivative of 0*a - 2/3*a**3 - 6/5*a**5 - 4 + 3/2*a**4 + 1/3*a**6 + 0*a**2. Factor m(v).
2*v**2*(v - 1)**3
Let l be (640/(-105) - -6) + 3/7. Factor -l*w - 3/2*w**2 + 0.
-w*(9*w + 2)/6
Let j be ((-10)/4)/((-2)/4). Suppose -j*o = -0*o. What is s in -1/3 + 1/3*s**2 + o*s = 0?
-1, 1
Let p(x) be the second derivative of -2*x**6/3 + 12*x**5/5 - 3*x**4 + 4*x**3/3 + 12*x. Factor p(z).
-4*z*(z - 1)**2*(5*z - 2)
Solve -4/7*g**2 - 16/7 - 16/7*g = 0.
-2
Solve z**2 + z**3 - 2*z + 2*z - 10*z**2 + 8*z = 0 for z.
0, 1, 8
Let k(s) be the third derivative of s**5/4 + s**4/6 + 5*s**3/2 + 3*s**2. Let l(o) = 7*o**2 + 2*o + 7. Let w(i) = -6*k(i) + 13*l(i). Factor w(c).
(c + 1)**2
Suppose k + 1 = -3*d - 3*k, 5*k = -5*d + 5. Determine v so that d*v - 3*v + 2 - 2*v**3 + v**4 - 3 = 0.
-1, 1
Let u be 1 - 3/4 - -1. Suppose 0 = l - 0 - 5. Let 5/4*z - u*z**4 + 1/4*z**l - 5/2*z**2 + 5/2*z**3 - 1/4 = 0. Calculate z.
1
Let j(s) be the second derivative of -s**8/4480 + s**7/1120 - s**5/160 + s**4/12 + 3*s. Let g(h) be the third derivative of j(h). Solve g(q) = 0 for q.
-1/2, 1
Factor -144*y + 1156 + 4*y**2 + 0*y**2 + 4*y + 4*y.
4*(y - 17)**2
Let p(n) be the first derivative of n**8/5880 - n**6/1260 - n**3 - 4. Let d(b) be the third derivative of p(b). Determine y, given that d(y) = 0.
-1, 0, 1
Let j(m) = -m**2 + 8*m + 13. Let z be j(9). Find g such that -8*g**z + 10*g**4 - 5*g**3 + 3*g**3 = 0.
0, 1
Let n = 13/30 - 7/20. Let d(r) be the first derivative of -n*r**3 + 1/2*r + 3 + 1/8*r**2. Factor d(h).
-(h - 2)*(h + 1)/4
Let h(m) be the third derivative of m**4/24 + 13*m**3/6 + 2*m**2. Let v be h(-11). Factor 16/5*x + 2*x**v + 8/5 + 2/5*x**3.
2*(x + 1)*(x + 2)**2/5
Let u(q) = -8*q**5 + 13*q**4 - 7*q**3 - 3*q**2. Let v(s) = -12*s**5 + 20*s**4 - 11*s**3 - 4*s**2. Let n(h) = 7*u(h) - 5*v(h). Factor n(x).
x**2*(x - 1)**2*(4*x - 1)
Let h(f) be the third derivative of 0*f + 5*f**2 + 0*f**3 + 4/735*f**7 + 0 + 3/140*f**6 + 1/84*f**4 + 1/35*f**5. Factor h(n).
2*n*(n + 1)**2*(4*n + 1)/7
Suppose 2*l + 2*h = -12, 3*l - 2*h + h = -22. Let c be (1 + 1)/(l/(-7)). Let 8*p**2 + 0*p**4 - 3*p - 18*p**4 - c*p**2 + 15*p**3 = 0. Calculate p.
-1/2, 0, 1/3, 1
Let b be -3*(8/6 + -2). Solve 2*h + 7 - 7 + 8*h**b + 0*h**2 = 0 for h.
-1/4, 0
Let d(z) be the third derivative of -z**7/105 + 7*z**6/240 + z**5/60 - 12*z**2. Factor d(s).
-s**2*(s - 2)*(4*s + 1)/2
Factor -3/2 - 3/2*u**4 + 0*u**3 + 0*u + 3*u**2.
-3*(u - 1)**2*(u + 1)**2/2
Factor 0*b + 2*b**3 + b - b**3 - 2*b**3.
-b*(b - 1)*(b + 1)
Let p(k) be the third derivative of k**6/40 + 3*k**5/10 + 9*k**4/8 + 4*k**2. Factor p(x).
3*x*(x + 3)**2
Factor 16/5*r**3 + 4/5*r**4 + 8/5*r + 0 + 4*r**2.
4*r*(r + 1)**2*(r + 2)/5
Let y(d) be the first derivative of 