erivative of -1 - 2/3*b**3 - 2*b - o*b**2. Factor f(q).
-2*(q + 1)**2
Suppose -2*d + 32 = -2*q - 5*d, q + d + 15 = 0. Let c be q/39*4/(-6). Let c*n + 4/9 - 2/9*n**2 = 0. Calculate n.
-1, 2
Factor -20*i**2 + 10*i**2 + 3*i + 13*i**2.
3*i*(i + 1)
Factor 16*s**2 + 0*s**2 + 5*s**3 - 4*s - 17*s**3.
-4*s*(s - 1)*(3*s - 1)
Let g(c) = 2*c + 21. Let q be g(-10). Let x be ((-1)/(-3))/(q + 0). Factor -x*r**3 + 1/3 + r**2 - r.
-(r - 1)**3/3
Suppose 0 - 4/3*p**2 + 0*p + 2/3*p**4 - 2/3*p**3 = 0. What is p?
-1, 0, 2
Let z(y) be the first derivative of -3 + 0*y - y**3 - 9/5*y**5 - 9/4*y**4 + 0*y**2 - 1/2*y**6. What is x in z(x) = 0?
-1, 0
Let y(n) = 27*n - 104. Let l be y(4). Factor 2/5*h**l + 0 - 2/5*h - 6/5*h**3 + 6/5*h**2.
2*h*(h - 1)**3/5
Factor 24*m**2 - 36*m + 12 + 3*m**5 + 9*m**2 + 5*m**4 - 4*m**4 - 3*m**3 - 10*m**4.
3*(m - 2)*(m - 1)**3*(m + 2)
Find u such that 2/5 + 0*u - 2/5*u**2 = 0.
-1, 1
Let l = 69243/8 - 899317/104. Let c = 33/4 - l. Factor 2/13*u + c*u**2 + 0.
2*u*(u + 1)/13
Let p(v) be the second derivative of -v**6/10 - 3*v**5/5 - 3*v**4/2 - 2*v**3 - 3*v**2/2 + 6*v. Determine s, given that p(s) = 0.
-1
Let s be (-24)/(-30) - (-4)/(-30). Factor 4/3*d**2 + s*d + 0.
2*d*(2*d + 1)/3
Let v(z) be the second derivative of z**8/3360 - z**7/1890 - 5*z**4/12 - 4*z. Let m(h) be the third derivative of v(h). Factor m(s).
2*s**2*(3*s - 2)/3
Let f(t) = -2*t**2 + 2. Let k(u) = -u**3 - 5*u**2 - u + 7. Let q(o) = 14*f(o) - 4*k(o). Factor q(c).
4*c*(c - 1)**2
Let s be (-26)/52*16/(-6). Let n be (-32)/(-30) - 2/5. Solve -s*p + n*p**2 + 2/3 = 0.
1
Let s(j) = 4*j**2 + j + 1. Let p be s(6). Let v = 461/3 - p. Factor -4/3*q - v*q**2 - 1/3*q**4 + 0 - 5/3*q**3.
-q*(q + 1)*(q + 2)**2/3
Let p(u) be the third derivative of u**8/168 - u**7/15 + 19*u**6/60 - 5*u**5/6 + 4*u**4/3 - 4*u**3/3 + 19*u**2. Factor p(s).
2*(s - 2)**2*(s - 1)**3
Let f = 1014 + -45626/45. Let s(v) be the first derivative of -2 - 4/27*v**3 + f*v**5 - 1/27*v**6 + 0*v**4 + 0*v + 1/9*v**2. Determine n so that s(n) = 0.
-1, 0, 1
Let y = 4 + -34. Let a = -119/4 - y. Factor j**3 + 3/2*j**2 + j + 1/4*j**4 + a.
(j + 1)**4/4
Let m = 179/700 + 3/100. Factor -2/7 + 0*r + m*r**2.
2*(r - 1)*(r + 1)/7
Factor 3*t**4 + 2*t**5 + 3*t**4 - 4*t**4 + 5*t**5.
t**4*(7*t + 2)
Let 0 + 6/7*b**2 + 2/7*b = 0. Calculate b.
-1/3, 0
Let c(g) = -g**2 + 4*g - 9. Let b(u) = -6*u + u**2 - 8*u**2 - u**2 - 64 + 34*u. Let o(k) = -6*b(k) + 44*c(k). Find y such that o(y) = 0.
-3, 1
Let s = 1 + 1. Let w(v) = 2*v**s + 2 + 2*v**3 - 3*v**3 + 4*v - 4 - 3*v**3. Let n(r) = -5*r**3 + 2*r**2 + 5*r - 2. Let p(q) = 6*n(q) - 7*w(q). Factor p(u).
-2*(u - 1)*(u + 1)**2
Let p(q) = -5*q**3 + q**2 - 7*q - 1. Let m = 15 - 3. Let d = -19 + m. Let n(j) = 9*j**3 - j**2 + 13*j + 2. Let w(c) = d*p(c) - 4*n(c). Factor w(h).
-(h + 1)**3
Suppose m - 2 + 0 = 0. Let c(i) = i**3 - 20*i**2 + 19*i + 2. Let j be c(19). Factor -q**m + j - 2 - q + 2.
-(q - 1)*(q + 2)
Let s(p) be the second derivative of -p**4/60 - p**3/30 - 7*p. Determine u, given that s(u) = 0.
-1, 0
Suppose s + z = 5, -2*s + z + 3 = s. Find o, given that 5 - o**3 - 3*o**s + 4*o - 2*o**3 - 2 - o = 0.
-1, 1
Let z(t) = t**3 - t. Let p(o) = -o**3 - 5*o**2 - 19*o - 15. Let g(h) = -p(h) - 6*z(h). Factor g(l).
-5*(l - 3)*(l + 1)**2
Let a(y) be the first derivative of 5 + 2*y - 1/3*y**3 + 1/2*y**2. Find w, given that a(w) = 0.
-1, 2
Let a(s) be the third derivative of 0 - 1/3*s**3 - 1/10*s**5 + 1/60*s**6 + 3*s**2 + 1/4*s**4 + 0*s. Factor a(l).
2*(l - 1)**3
Let z(m) be the second derivative of -m**4/6 - 2*m**3/3 + 3*m**2 - 7*m. What is r in z(r) = 0?
-3, 1
Let y = -16 - -19. Factor -2*i**3 - y - 2*i + 6*i**2 + 4*i**3 - 1 - 2*i**4.
-2*(i - 2)*(i - 1)*(i + 1)**2
Let b be 4/2 - (-14 - -14). Let p(g) be the second derivative of 2*g**4 + 1/4*g**2 + 8/5*g**5 + 0 - b*g + g**3. Determine t, given that p(t) = 0.
-1/4
Solve 3*c**2 - 5 - 5 + c + 2*c**2 + 4*c = 0 for c.
-2, 1
Let s = 3 - 0. Find n, given that s*n**3 + 8*n**3 - 3*n**3 + n + n - 10*n**2 = 0.
0, 1/4, 1
Let d = 791/30 + -53/2. Let n = 1/5 - d. Find v, given that -1/3 - v**2 + v + n*v**3 = 0.
1
Let v(y) = -y**2 - 3*y + 2. Let g be v(-3). Let -u - u**3 + g*u**2 + u**2 - u**2 = 0. Calculate u.
0, 1
Determine l so that 0*l**2 + 8/9*l + 0 - 2/9*l**3 = 0.
-2, 0, 2
Suppose 20 = 5*j - 0*j, 2*z - 20 = -j. Suppose -s - s = -z. Let 1 + 2*k**2 - 3*k**2 - 5 - s*k = 0. Calculate k.
-2
Let z(y) be the first derivative of -y**5/20 + y**4/4 - 5*y**3/12 + y**2/4 + 5. Determine q so that z(q) = 0.
0, 1, 2
Let q(c) be the second derivative of -3*c**5/100 + c**4/12 + c**3/15 - 10*c. Factor q(x).
-x*(x - 2)*(3*x + 1)/5
Let h be (8 - (-12)/(-2)) + 1. Solve 39/4*b**2 - 2*b**h + 1/2 - 17/4*b - 4*b**4 = 0.
-2, 1/4, 1
Let f(b) be the second derivative of b**4/24 - b**3/2 + 9*b**2/4 - 4*b. Factor f(n).
(n - 3)**2/2
Factor -2/11*k**3 + 0 - 4/11*k**2 + 0*k + 2/11*k**4.
2*k**2*(k - 2)*(k + 1)/11
Suppose 4*y + 5*b + 1 = 36, -25 = -2*y - b. Let x = 15 + y. Factor -x*k**3 + 16*k**2 - 8/3*k + 50/3*k**4 + 0.
2*k*(k - 1)*(5*k - 2)**2/3
Let k(p) be the second derivative of p + 0 - 1/2*p**2 + 0*p**4 - 1/60*p**5 + 1/6*p**3. Let w(y) be the first derivative of k(y). Solve w(q) = 0 for q.
-1, 1
Let s = -8507/21 + 405. Let w = s + 25/42. Solve w*r**4 + 1/2*r**3 - 1/2*r - 1/2*r**2 + 0 = 0 for r.
-1, 0, 1
Suppose -2*i - q = 0, -4*q - 12 = -0*i + 2*i. Let h be i + 0/(3 + -6). Find d such that 1/2*d**3 + 0 - 1/2*d + 0*d**h = 0.
-1, 0, 1
Let b(j) be the second derivative of j**4/30 + 4*j**3/15 - 11*j. What is m in b(m) = 0?
-4, 0
Suppose -g + 1 = -0*g. Let y be (-5 - -5)/(g + 0). Find m such that -2/7*m**2 - 2/7*m + y = 0.
-1, 0
Let z = -23 + 28. Let m(r) be the second derivative of -2*r - 7/75*r**6 + 0*r**2 + 0 - 11/30*r**4 + 8/25*r**z + 2/15*r**3. Factor m(f).
-2*f*(f - 1)**2*(7*f - 2)/5
Let d(u) be the second derivative of u**7/147 + u**6/105 + 13*u. Let d(n) = 0. Calculate n.
-1, 0
Let y(d) be the second derivative of -d**5/170 + d**4/34 + d**3/51 - 3*d**2/17 + 8*d. Suppose y(u) = 0. Calculate u.
-1, 1, 3
Let j = 12 + -9. Factor -10*p**2 + 3*p**j + 6*p**2 + p**3.
4*p**2*(p - 1)
What is c in -1/3*c**2 + 0*c - c**3 + 0 = 0?
-1/3, 0
Let u(b) be the first derivative of -3*b**4/4 - 3*b**3 + 12*b - 10. Determine f so that u(f) = 0.
-2, 1
Let s(q) = -3*q - 1. Let z be s(-1). Let u be ((-30)/100)/(z/(-5)). Determine g so that 0*g + u*g**3 + 1/2*g**2 + 0 = 0.
-2/3, 0
Suppose -5*o**2 - 2*o + 3*o**2 + 5*o**2 - o**2 = 0. Calculate o.
0, 1
What is m in -1/2*m**3 - 11/2*m**2 - 2 - 6*m + 1/2*m**5 + 3/2*m**4 = 0?
-2, -1, 2
Let r = 995497/1763342 + -1/28441. Let g = -2/31 + r. Let -1/2 + l - g*l**2 = 0. Calculate l.
1
Let q(t) = -t + 13. Let a be q(10). Suppose a*c = 2*c. Find w such that 2/5*w**4 + c*w - 2/5*w**2 + 0 + 0*w**3 = 0.
-1, 0, 1
Let o = 34/245 + 3/49. Let l = 1 - 1. Determine k, given that 1/5 + l*k - o*k**2 = 0.
-1, 1
Let -63*g**3 + 240*g + 600*g**2 + 32 + 414*g**3 + 149*g**3 = 0. What is g?
-2/5
Let g(v) be the second derivative of -v**5/4 - 5*v**4/6 + 62*v. Factor g(j).
-5*j**2*(j + 2)
Let t(v) = 4*v**3 + 2*v**2 - 1. Let z be t(1). Let d = -31 + 63. Suppose d*b**z + 8*b**4 + 0*b**4 - 30*b**3 + 8*b**4 - 2*b - 16*b**2 = 0. What is b?
-1, -1/4, 0, 1
Let f be (-1 - 1)*(-3)/2. Let b be 14/4 + 1/2. Determine q, given that -f*q**4 - 4*q**2 + q**3 + b*q**2 = 0.
0, 1/3
Determine j, given that 136/5*j + 84*j**2 + 50*j**4 + 16/5 + 110*j**3 = 0.
-1, -2/5
Factor 2*a**4 + 0*a - 4/3*a**3 + 10/3*a**5 + 0 + 0*a**2.
2*a**3*(a + 1)*(5*a - 2)/3
Let m be 6/(-27) - (-237)/(-27). Let j be (m/12)/(-4 + 1). Suppose 0 - 1/4*n**2 + j*n = 0. What is n?
0, 1
Find x, given that -2/11*x**2 + 4/11*x**3 - 4/11*x + 2/11 = 0.
-1, 1/2, 1
Factor 0*z**2 + z - 24 + z**2 + 24.
z*(z + 1)
Factor -50*t**3 - 40*t**2 - 88*t**3 - 62*t**3 - 2*t.
-2*t*(10*t + 1)**2
Let w(u) be the second derivative of -3*u + 0*u**3 + 1/24*u**4 + 0 - 1/4*u**2. What is n in w(n) = 0?
-1, 1
Let f(o) be the third derivative of o**7/8820 + o**6/840 + o**5/210 - o**4/6 - o**2. Let i(t) be the second derivative of f(t). Factor i(q).
2*(q + 1)*(q + 2)/7
Let z(i) be the second derivative of -i**7/84 + i**6/30 - i**5/40 + 3*i. Find t, given that z(t) = 0.
0, 1
Let i = 14 + -11. Factor -5*u**i + 18 + 12*u**2 - u**3 - 46*u**2 - 42*u.
-2*(u + 3)**2*(3*u - 1)
Suppose 8*h - 460 = 3