3/935 + -1/935. Solve g*u**2 + 8*u + 70*u**4 - 16/5 - 106*u**3 = 0.
-2/7, 2/5, 1
Let s(g) be the first derivative of 2*g**6/21 + 2*g**5/35 - 7. Solve s(z) = 0 for z.
-1/2, 0
Suppose 12*x = 22 + 2. Find v, given that -28/3*v**x + 8/3*v + 20/3*v**3 + 0 = 0.
0, 2/5, 1
Let y be 6 + (-1)/(-1) + -2. Suppose 0 = -y*k - 0*b - b + 1, k - 1 = -b. Solve 0*t**2 + 0*t + 1/4*t**3 + k + 3/4*t**4 - t**5 = 0.
-1/4, 0, 1
Let c be (-3 - 812/(-40))/(-1). Let z = c - -35/2. Factor z*a**5 + 1/5*a**2 - 1/5*a**4 - 1/5*a**3 + 0*a + 0.
a**2*(a - 1)**2*(a + 1)/5
Let i = 143 - 373. Let k = i - -925/4. Solve -3/2 - 17/4*t - k*t**2 = 0 for t.
-3, -2/5
Let o(v) = -v + 2. Let w be o(-6). Let z(x) = 4*x**2 + 8*x - 2*x**2 - 10*x. Let j(l) = -5*l**2 + 5*l. Let y(b) = w*z(b) + 3*j(b). Factor y(s).
s*(s - 1)
Find m such that 3/7*m**3 + 3/7*m**4 + 6/7 - 3/7*m - 9/7*m**2 = 0.
-2, -1, 1
Find h, given that 11 - 75*h + 4*h**4 + 52*h**2 + 27*h - 24*h**3 + 5 = 0.
1, 2
Let s = 175 + -172. Solve 2/9*v**s - 2/9*v**4 + 0 - 2/9*v + 2/9*v**2 = 0.
-1, 0, 1
Let l(b) be the first derivative of b**6/480 + b**5/240 - b**4/48 + 3*b**2 + 4. Let k(n) be the second derivative of l(n). Factor k(m).
m*(m - 1)*(m + 2)/4
Let n be 6/5 + (-2)/10. Let v(u) = u**2 - 9*u + 2. Let t(o) = -6 + 2 + 4 + o. Let q(g) = n*v(g) + 6*t(g). Factor q(l).
(l - 2)*(l - 1)
Let d be 3/(-2)*(-12)/9. Factor -6*n**d - 12 + 15*n**2 + 3*n**3 - 3*n**4 + 3*n**3 - 12*n.
-3*(n - 2)**2*(n + 1)**2
Let g(c) be the second derivative of -3/10*c**5 - 3/10*c**6 + 3/2*c**3 - 1/14*c**7 - c + 0 + 1/2*c**4 + 3/2*c**2. Factor g(o).
-3*(o - 1)*(o + 1)**4
Let m(j) be the first derivative of j**4 - 8*j**3/3 + 20. Factor m(i).
4*i**2*(i - 2)
Let p be 13/6 + (-2)/12. Factor 2*h - 4/3 - 4/3*h**3 + 2*h**p.
-2*(h - 2)*(h + 1)*(2*h - 1)/3
Let q(g) be the second derivative of -1/6*g**4 + 0*g**2 - 6*g + 3/40*g**6 - 1/6*g**3 + 0 + 3/80*g**5. Suppose q(d) = 0. Calculate d.
-2/3, 0, 1
Let t = -110/3 + 37. Factor 1/3*r + t*r**3 + 0 - 2/3*r**2.
r*(r - 1)**2/3
Suppose -135 = -27*x + 108. Solve -21/2*y**2 - 69/2*y - x = 0.
-3, -2/7
Find d such that 2*d**4 - 628*d**2 - 3*d**3 + 7*d**3 + 622*d**2 = 0.
-3, 0, 1
Let f(p) = 55*p**2 + 220*p + 45. Let o(d) = -5*d**2 - 20*d - 4. Let n(a) = 4*f(a) + 45*o(a). Factor n(c).
-5*c*(c + 4)
Let q(t) = -t - 6. Let y be q(0). Let d be 3*(-4)/y + 0. Find p such that 0 + 0*p + 1 - p**d - 5*p + 5*p**2 = 0.
1/4, 1
Let y(m) = 3*m**2 + 16*m + 9. Let h(u) = 3*u**2 + 17*u + 9. Let l(q) = -4*h(q) + 5*y(q). Let l(a) = 0. What is a?
-3, -1
Let z be (-34)/(-1547)*(1 + 6). Factor -z*o**2 + 0*o + 2/13.
-2*(o - 1)*(o + 1)/13
Let n be 9/18 - (-1)/6. Factor 1/3*v**3 - 1/3*v + n - v**2 + 1/3*v**4.
(v - 1)**2*(v + 1)*(v + 2)/3
Suppose 0 = -3*n + 10 + 8. Factor -n + 2 - 3*x**2 + 4*x - 2 - 13*x.
-3*(x + 1)*(x + 2)
Let k(f) be the second derivative of 3/10*f**4 + 2/5*f**2 + 11/15*f**3 - 3*f + 0. Factor k(l).
2*(l + 1)*(9*l + 2)/5
Let n(p) be the third derivative of 0*p**6 + 2*p**2 + 0 + 1/840*p**8 - 1/60*p**4 + 0*p + 0*p**3 - 2/525*p**7 + 1/75*p**5. What is o in n(o) = 0?
-1, 0, 1
Factor -k**2 + 102*k**4 + 85*k**3 - 9*k**2 + 123*k**4 - 20*k**3.
5*k**2*(5*k + 2)*(9*k - 1)
Let v be 5/(5/6) - 2751/524. Factor -3/4*c**2 + 3/2 - v*c.
-3*(c - 1)*(c + 2)/4
Suppose 46*d**2 - 4*d**4 + 60*d + d**4 + 12*d**3 + 25 + 4*d**4 = 0. What is d?
-5, -1
Let p be (20/15)/(-3 - -7) - 0. Solve -2/3 + 0*d**2 - p*d**3 + d = 0 for d.
-2, 1
Let x = -71/20 - -43/12. Let y(h) be the second derivative of 7/60*h**5 - 5/36*h**4 + 0*h**2 + 0 - 2*h - x*h**6 + 1/18*h**3. Suppose y(f) = 0. What is f?
0, 1/3, 1
Let f(q) be the first derivative of q**7/2100 - q**5/300 - 2*q**3 + 6. Let x(c) be the third derivative of f(c). Factor x(l).
2*l*(l - 1)*(l + 1)/5
Suppose 5*f**4 + 0*f - 15*f**3 - 2*f + 0*f**4 + 22*f = 0. Calculate f.
-1, 0, 2
Let i = 30 + -25. Let p be 0 + (-1 - (1 - i)). Suppose 0 - 9/2*b**5 - p*b**4 + 0*b + 3/2*b**3 + 0*b**2 = 0. What is b?
-1, 0, 1/3
Let m be (-4)/(-6)*-6*-1. Suppose 5*l + m = -0*a - a, -16 = -3*l + 4*a. Factor l + 0*c - 2/5*c**2.
-2*c**2/5
Let l(y) be the third derivative of y**5/90 + y**4/6 + y**3 + 9*y**2. Factor l(k).
2*(k + 3)**2/3
Let q(s) be the third derivative of -1/240*s**5 + 0 + 0*s + 1/48*s**4 + 2*s**2 - 1/24*s**3. Suppose q(l) = 0. Calculate l.
1
Let u(v) be the third derivative of -v**8/224 - 3*v**7/140 - v**6/80 + 3*v**5/40 + v**4/8 - 7*v**2. Solve u(h) = 0.
-2, -1, 0, 1
Factor 6 + 3*l**2 - 4*l + 3*l**2 - 4*l - 4*l**2.
2*(l - 3)*(l - 1)
Suppose -2*x + 2 = -x. Determine a so that -x*a - 9 + 3*a**2 + 2*a + 6*a = 0.
-3, 1
Factor 0*m - 4 - 6*m + 4*m**3 - 2*m**3 + 0*m**3.
2*(m - 2)*(m + 1)**2
Suppose -1/6*a**2 - 2/3*a + 0 = 0. Calculate a.
-4, 0
Let z(d) = -d**3 + d + 16. Let b be z(0). Let h = b - 9. Determine x, given that -5*x + 4 + h*x**2 - 1 - 5 = 0.
-2/7, 1
Let u(o) = -o**2 + 5*o - 4. Let t be u(4). Determine n, given that -1/3*n**2 - 2/3*n + t = 0.
-2, 0
Let g(i) be the first derivative of 2/3*i**3 + 6*i - 1/18*i**4 - 3*i**2 + 2. Determine h so that g(h) = 0.
3
Let d be 0 + (6/(-15))/(-2). Factor 3/5*n - d + 4/5*n**2.
(n + 1)*(4*n - 1)/5
Let l be (-1 + (-6)/(-3))*0. Let n(m) be the first derivative of l*m**3 - 1/6*m**6 + 1 + 0*m**4 + 0*m**2 + 0*m + 1/5*m**5. Factor n(d).
-d**4*(d - 1)
Let z(t) be the second derivative of -7/18*t**3 + 0 - 1/12*t**4 - t - 1/3*t**2. Factor z(b).
-(b + 2)*(3*b + 1)/3
Let c be 1*((-28)/98)/((-8)/14). Factor 1/2*f**2 - 1/2*f**3 - c + 1/2*f.
-(f - 1)**2*(f + 1)/2
Let y be 10/66 + (-10)/(-55). Factor -1/3*m**3 + 0 + y*m + 0*m**2.
-m*(m - 1)*(m + 1)/3
Let a(z) be the third derivative of -z**8/23520 - z**7/8820 + z**4/24 - 3*z**2. Let p(c) be the second derivative of a(c). Factor p(l).
-2*l**2*(l + 1)/7
Let l be (-436)/22 - 16/88. Let y be (-4)/3*12/l. Solve 0 - y*h**2 - 2/5*h**3 - 2/5*h = 0.
-1, 0
Suppose -5*x + 66 = 11. Let h = x + -9. Factor 4/5*a**h + 0 - 2/5*a**5 + 2/5*a - 4/5*a**4 + 0*a**3.
-2*a*(a - 1)*(a + 1)**3/5
Factor 3*o**4 + o**3 + 5*o**3 - 726*o**2 + 729*o**2.
3*o**2*(o + 1)**2
Let k(d) be the third derivative of 1/18*d**3 - 2*d**2 - 1/90*d**5 + 1/72*d**4 + 0 + 0*d + 1/1008*d**8 - 1/180*d**6 + 1/630*d**7. Determine a so that k(a) = 0.
-1, 1
Let s(h) be the first derivative of -4/15*h**3 + 5 + 2/25*h**5 + 2/5*h + 0*h**4 + 0*h**2. Determine c so that s(c) = 0.
-1, 1
Let -r**4 + 67*r**3 + r**2 - 4 + 2*r**2 - 69*r**3 + 4*r = 0. Calculate r.
-2, 1
Let s(h) be the third derivative of 0 - 1/672*h**8 + 0*h**3 + 1/120*h**5 - 1/420*h**7 + 0*h + 0*h**4 + 5*h**2 + 1/240*h**6. Factor s(w).
-w**2*(w - 1)*(w + 1)**2/2
Determine z so that -34*z**2 + 8 - 10*z**4 - 2095*z + 2095*z + 36*z**3 = 0.
-2/5, 1, 2
Suppose -o + 8 = k + 2, 5*k - 24 = -2*o. Let h(c) be the first derivative of 0*c**3 - 1/16*c**4 - k + 3/8*c**2 - 1/2*c. Factor h(j).
-(j - 1)**2*(j + 2)/4
Let z(r) be the first derivative of -4*r**3/3 + 16*r + 33. Determine k so that z(k) = 0.
-2, 2
Let o(q) be the third derivative of -q**7/1680 + q**5/480 - 9*q**2. Factor o(u).
-u**2*(u - 1)*(u + 1)/8
Let a(p) be the first derivative of 28*p**3 - 64*p**2/3 + 16*p/3 + 15. Find z, given that a(z) = 0.
2/9, 2/7
Let a be (0 + -2 - -2)/(9 - 3). Factor -4/9*k**2 - 2/9*k**4 - 2/3*k**3 + a*k + 0.
-2*k**2*(k + 1)*(k + 2)/9
Factor d**2 - d**4 + 49*d**3 - 8*d - 13*d**2 - 55*d**3.
-d*(d + 2)**3
Let x(y) be the first derivative of -2/3*y**3 - 2 - 1/2*y**2 + 0*y - 1/4*y**4. Determine b so that x(b) = 0.
-1, 0
Factor 0 + 0*p - 6*p**3 + 6*p**4 - 3/2*p**5 + 0*p**2.
-3*p**3*(p - 2)**2/2
Let p be 36/(-21)*(-7)/2. Let n be (-5)/p*4/(-2). Let -h**3 - 2/3*h + n*h**2 + 0 = 0. Calculate h.
0, 2/3, 1
Let y(r) = r**2 + r - 3. Suppose -3 = 4*x - 3*w, 2*w = -x - 4*x - 21. Let g be y(x). Solve -2*l**4 + 6*l**2 - 2*l**3 + g*l - 5*l - 4*l**4 + 4*l**5 = 0 for l.
-1, 0, 1/2, 1
Suppose -5*y - 3 = -2*y, 4*s = 3*y + 15. Suppose -5*b = -13 + s. Suppose 3/4*j**3 - 3/4*j**4 + 0*j + 0 + 1/4*j**5 - 1/4*j**b = 0. What is j?
0, 1
Let n be ((-8)/(-10))/((-2)/(-10)). Let y(h) = 2*h**2 + 1. Let k be y(1). Factor k*s**3 + 2*s**3 - n*s**3.
s**3
Let j(n) be the third derivative of n**5/270 + 4*n**4/27 + 64*n**3/27 + 21*n**2. Factor j(s).
2*(s + 8)**2/9
Suppose 4*m - 3 = -3*y + 3, 3*y - 6 = 2*m. Factor m - 5*b**2 - b + 4*b + 2*b**2 + 6.
-3*(b - 2)*(b + 1)
Let -1/2*v**2 - 1/4 + 1/8*v**3 + 5/8*v = 0. Calculate v.
1, 2