185)/90 - -2). Factor 2/3*t**4 + 0*t + l*t**2 - 10/9*t**3 + 0 + 2*t**5.
2*t**2*(t + 1)*(3*t - 1)**2/9
Let l(u) be the third derivative of 3*u**2 + 1/180*u**5 - 1/9*u**3 + 1/72*u**4 + 0*u + 0. Factor l(r).
(r - 1)*(r + 2)/3
Determine j, given that 2/7*j**3 + 0*j + 0*j**2 - 2/7*j**5 + 0*j**4 + 0 = 0.
-1, 0, 1
Suppose -2*i = -i. Suppose -o + i*o = 0. What is k in 2*k**3 + 2*k**4 + o*k**5 - 3*k**2 + k**2 - 2*k**5 = 0?
-1, 0, 1
Suppose 0*p - u = -p - 9, -p - u = 1. Let z be -3 - p/(10/6). Find d such that -4/7*d**3 + z + 0*d**2 + 0*d**4 + 2/7*d + 2/7*d**5 = 0.
-1, 0, 1
Let i(o) = o**2 + 4*o - 1. Let q be i(-5). Find h such that -2*h**5 + 5*h**3 - q*h**3 + h**4 + h**5 + 0*h**4 - h**2 = 0.
-1, 0, 1
Let w(f) be the third derivative of 1/24*f**4 + 0*f**5 - 1/3780*f**7 - f**2 + 0 + 0*f + 0*f**3 + 0*f**6. Let l(n) be the second derivative of w(n). Factor l(m).
-2*m**2/3
Let a(y) be the first derivative of -y**5/130 + y**4/78 + y**3/39 - y**2/13 - y + 7. Let k(f) be the first derivative of a(f). Let k(c) = 0. What is c?
-1, 1
Let a be (-1)/3 - (11/9 - 2). Let n = 7424/9 - 824. Determine p so that 0 + 2/9*p - a*p**4 - n*p**2 + 10/9*p**3 = 0.
0, 1/2, 1
Let a(j) be the first derivative of j**4/4 - 4*j**3/3 + 2*j**2 - 3. Factor a(f).
f*(f - 2)**2
Suppose -z + 55 = 4*z. Let l = z + -7. Determine m, given that m**5 - 2*m**2 + 4*m**2 + 4*m - 5*m - 2*m**l = 0.
-1, 0, 1
Let l(x) be the first derivative of 1 + 0*x + 0*x**2 - 1/21*x**6 + 1/14*x**4 - 2/21*x**3 + 2/35*x**5. What is m in l(m) = 0?
-1, 0, 1
Let d be ((-6)/(-12) - (-15)/(-12))/(-3). Factor 1/2 - 1/4*g + 1/4*g**3 - 3/4*g**2 + d*g**4.
(g - 1)**2*(g + 1)*(g + 2)/4
Let t(n) be the third derivative of 8/735*n**7 - 1/12*n**4 + 0*n + 0 - 1/21*n**3 + 4*n**2 - 1/30*n**5 - 2/147*n**8 + 23/420*n**6. What is w in t(w) = 0?
-1, -1/4, 1
Let z = 6 + -6. Let c(j) be the third derivative of 1/150*j**6 - 1/60*j**5 + 1/60*j**4 - 2*j**2 + 0*j**3 - 1/1050*j**7 + z + 0*j. Factor c(w).
-w*(w - 2)*(w - 1)**2/5
Let t = 1 - -1. Suppose 2*h - t = 3*y - 16, -h = -y + 6. Factor 6*z**y + 9*z - 5*z + 0*z**3 - 6*z**3 - 4*z**2.
-2*z*(z - 1)*(3*z + 2)
Determine z so that -11*z + 11*z - 3*z**2 - 1 + 3*z + z**3 = 0.
1
Let f(w) be the third derivative of -1/30*w**6 - 1/210*w**7 - 1/10*w**5 + 0*w + 0 - 1/6*w**4 - 1/6*w**3 - 2*w**2. Factor f(v).
-(v + 1)**4
Let z(g) be the third derivative of -g**8/240 + 19*g**7/840 - g**6/45 - g**5/30 - g**3/6 - 3*g**2. Let l(v) be the first derivative of z(v). Factor l(a).
-a*(a - 2)*(a - 1)*(7*a + 2)
Suppose -y = -3*q + 6*q - 12, 5*q - y = 12. Let z be 4/10 - (-8)/5. Factor 5/2*i**z + 3/2*i**q + i + 0.
i*(i + 1)*(3*i + 2)/2
Factor -14*c - 32*c**3 - 4*c**4 - 36 - 79*c - 88*c**2 - 3*c.
-4*(c + 1)**2*(c + 3)**2
Let y = -10 + 16. Find u, given that -8*u**2 - 2*u**4 - 2*u**4 - 4*u**5 + 13*u**4 + y*u - 2*u**3 - 1 = 0.
-1, 1/4, 1
Suppose -50/21*z + 0 - 2/21*z**5 + 8/7*z**4 - 92/21*z**3 + 40/7*z**2 = 0. What is z?
0, 1, 5
Let k(v) be the first derivative of v**5/30 + 2*v**2 - 3. Let x(n) be the second derivative of k(n). Factor x(a).
2*a**2
Let h be (24/9 - 1)/((-105)/(-189)). Factor -2*v**2 + 8/5*v**h + 4/5*v - 2/5*v**4 + 0.
-2*v*(v - 2)*(v - 1)**2/5
Factor 2/3*r**2 + 0 - 2/3*r.
2*r*(r - 1)/3
Let a = 75 + -70. Factor -2*n**2 - 2/5*n**a + 4/5*n + 6/5*n**3 + 0 + 2/5*n**4.
-2*n*(n - 1)**3*(n + 2)/5
Let w(r) be the second derivative of -r**6/12 - 23*r**5/40 - 5*r**4/24 + 17*r**3/4 - 9*r**2/2 - 58*r. Suppose w(l) = 0. What is l?
-3, 2/5, 1
Find r such that 4 + 7*r + 5 - r - 6 + 3*r**2 = 0.
-1
Let n be -7 + 6 - (-63)/60. Let k(q) be the second derivative of 2*q - n*q**5 - 1/15*q**6 + 0 + 1/6*q**4 + 1/28*q**7 - 1/12*q**3 + 0*q**2. Solve k(b) = 0 for b.
-1, 0, 1/3, 1
Suppose -c = -4*c + 5*q - 2, 0 = -5*c - 3*q + 8. Let k = 2 + c. Factor -1 + 0*a - 1 - a**2 + k*a.
-(a - 2)*(a - 1)
Let v(w) be the second derivative of w**9/75600 + w**8/33600 - w**4/12 + 2*w. Let l(o) be the third derivative of v(o). Find u such that l(u) = 0.
-1, 0
Let a(x) = 4*x - 34. Let i be a(9). Factor -4/3 + r + 1/3*r**i.
(r - 1)*(r + 4)/3
Let w(o) = -o**2 - 4*o + 2. Let n be w(-4). Factor -x**2 + 2*x - 3*x**2 + 0*x + n*x**2.
-2*x*(x - 1)
Let x(p) be the second derivative of -1/9*p**3 - 2/15*p**5 + 5/18*p**4 + 0 + 0*p**2 + p. Factor x(t).
-2*t*(t - 1)*(4*t - 1)/3
Let j(d) be the second derivative of d**6/180 - 7*d**5/90 + 2*d**4/9 + 16*d**3/9 - 2*d**2 - d. Let w(b) be the first derivative of j(b). Factor w(k).
2*(k - 4)**2*(k + 1)/3
Let s(l) be the second derivative of -1/15*l**6 + 0*l**3 - 1/3*l**4 + 5*l + 3/10*l**5 + 0*l**2 + 0. Find m such that s(m) = 0.
0, 1, 2
Let y(l) be the second derivative of -l**6/36 + l**5/30 + l**4/72 - 35*l. Suppose y(d) = 0. Calculate d.
-1/5, 0, 1
Let w(c) be the first derivative of 4*c**5/35 + 3*c**4/14 - 17. Determine q, given that w(q) = 0.
-3/2, 0
Let u(y) be the second derivative of 1/90*y**5 + 1/36*y**4 + 1/2*y**2 + 0 + 0*y**3 - 2*y. Let p(z) be the first derivative of u(z). Factor p(i).
2*i*(i + 1)/3
Find m such that 0 + 0*m + 2/5*m**2 + 2/5*m**4 - 4/5*m**3 = 0.
0, 1
Let x be (-3)/1*(-1 + 2 + -2). Let b(l) be the first derivative of 0*l + x + 0*l**2 + 2/21*l**3. Factor b(c).
2*c**2/7
Factor -2*l + 7*l**3 + 2 - 5*l**3 - 2.
2*l*(l - 1)*(l + 1)
Let m(d) be the third derivative of -d**9/4536 - d**8/2520 + d**3/3 - 3*d**2. Let j(q) be the first derivative of m(q). Let j(r) = 0. Calculate r.
-1, 0
Let r be ((-2)/(-21)*-3)/(-1). Let c be 2 + -2 + 0 + 0. Find y such that -2/7*y**4 + 0*y - r + c*y**3 + 4/7*y**2 = 0.
-1, 1
Let v = 4 - 10. Let m = 9 + v. Factor 2/7*w**2 - 2/7*w - 2/7 + 2/7*w**m.
2*(w - 1)*(w + 1)**2/7
Let u be (2/9)/((-5)/6)*-5. Factor 1/6*j**3 + u*j + 5/6*j**2 + 2/3.
(j + 1)*(j + 2)**2/6
Let l be (2/5)/((-108)/(-30)). Let n(v) be the first derivative of 0*v**2 + 4/15*v**5 - 1/6*v**4 + 0*v**3 + 1 - l*v**6 + 0*v. Let n(q) = 0. Calculate q.
0, 1
What is w in 2/11*w**2 - 12/11*w + 0 = 0?
0, 6
Let n = 15 - 14. Let f be n*(4 - (-3)/(-6)). Determine z, given that 7/2*z**3 + 1 - 3*z**2 - f*z + 2*z**4 = 0.
-2, -1, 1/4, 1
Let w(f) be the third derivative of -f**7/840 - f**6/120 - f**5/48 - f**4/48 - 13*f**2. Suppose w(g) = 0. Calculate g.
-2, -1, 0
Suppose -21*k**4 + 10*k**5 + 216*k - 216*k + 4*k**2 = 0. Calculate k.
-2/5, 0, 1/2, 2
Suppose -5*i = 0, -3*n + 5*i = 2*i + 3. Let r(f) = 3*f**2 - 1. Let k(j) = j**2 + 1. Let g(l) = n*k(l) - r(l). Factor g(u).
-4*u**2
Let q = -3/94 - -46/705. Let h(l) be the third derivative of 1/6*l**3 + q*l**6 + 0*l + 2*l**2 + 1/10*l**5 + 0 + 1/210*l**7 + 1/6*l**4. Factor h(k).
(k + 1)**4
Suppose b - 3 = 1. Let p(r) be the third derivative of 2*r**2 + 0*r + 1/30*r**5 + 4/3*r**3 + 0 - 1/3*r**b. Factor p(l).
2*(l - 2)**2
Suppose -2*t + 0*v = v - 7, -2*v = -5*t + 4. What is f in -5*f**2 + t*f**3 + 5*f**2 - 2*f = 0?
-1, 0, 1
Suppose 0 = 3*b + 3*b - 18. Let a = 7/16 - -5/16. Solve 1/4*g**b + 3/4*g**2 + a*g + 1/4 = 0.
-1
Let y(i) = i**2 - 3*i + 2. Suppose 5*j = 25 - 10. Let x be y(j). Solve m + 2*m + 2*m**x - m = 0.
-1, 0
Suppose -q + 24 = 3*q. Let v(u) = u**2 - 8*u + 2. Let f be v(8). Factor 5*x + 0*x - x + q*x**2 - f.
2*(x + 1)*(3*x - 1)
Let b(p) = -p + 12. Let w be b(7). Let k(r) be the first derivative of 0*r - 16/27*r**3 - 5/18*r**4 - 4/9*r**2 - 4 - 2/45*r**w. Factor k(d).
-2*d*(d + 1)*(d + 2)**2/9
Let f = -5 + 5. Let 2 - 2 - 2*y + 2*y**5 + f*y**4 + 4*y**2 - 4*y**4 = 0. Calculate y.
-1, 0, 1
Let n = -12 - -5. Let z = n + 9. Factor -5/2*o**4 - 3*o**3 + 0 - 1/4*o - 3/2*o**z - 3/4*o**5.
-o*(o + 1)**3*(3*o + 1)/4
Let p(w) = -w**2 + 3*w**2 - 4*w + 4 - w**2 - 1. Let n be p(3). Factor g - g - g**2 + n*g.
-g**2
Let p(y) = y**3 - y**2 + y. Suppose 3*i = -6, -6*f - 4*i - 23 = -f. Let x(c) = -3*c**4 - 9*c**3 + 3*c**2 + 3*c + 3. Let b(t) = f*p(t) - x(t). Factor b(j).
3*(j - 1)*(j + 1)**3
Let d = 47 + -187/4. Let s(b) be the first derivative of -3/2*b**2 + 2 + b - d*b**4 + b**3. Factor s(j).
-(j - 1)**3
Suppose 0 = 3*a + 2*f + 49 - 13, 0 = -4*a - 2*f - 48. Let t be (21/a)/(1/(-4)). Suppose 3*c**3 + t*c**3 - 3*c - 3*c**5 - 4*c**3 = 0. What is c?
-1, 0, 1
Let m(u) be the third derivative of -u**7/70 + u**6/20 - u**5/20 - 4*u**2. Factor m(g).
-3*g**2*(g - 1)**2
Determine r so that -5*r**4 + 13*r**3 + 3*r + 3*r**2 + r**4 + r**4 - 16*r**3 = 0.
-1, 0, 1
Solve -3/2*n - 3/2*n**2 + 3 = 0.
-2, 1
Let w be 