4/8 + 9*u**3/5 + 5*u**2 - 14. Find o, given that c(o) = 0.
-3, 3/2, 2
Let -55*w + 39*w**3 + 73*w**3 + 68*w**2 + 67*w + w**5 + 19*w**5 - 2 + 78*w**4 = 0. What is w?
-1, 1/10
Find x, given that 12*x**2 + 102*x**2 + 18 - 120*x**2 - 3*x**3 + 15*x = 0.
-3, -1, 2
Suppose -16 = 4*m - 2*f - 0*f, 5*f + 50 = -5*m. Let s = 10 + m. Solve 2*x - 4*x**2 + x - 3*x**5 + 2*x**3 - 2*x + s*x**4 = 0 for x.
-1, 0, 1/3, 1
Let z(u) = 4*u**3 + 13*u**2 - 3*u + 7. Let l(v) = -5 - 7*v**2 + 2*v + 3*v**2 - 3*v**3 - 5*v**2. Let w(b) = 7*l(b) + 5*z(b). Solve w(t) = 0 for t.
0, 1
Factor -585 + 126*y - 12*y + 30*y + 3*y**2 + 2313.
3*(y + 24)**2
Suppose 5*v + 100 = -4*o, 0*o - o + v - 16 = 0. Let s = 22 + o. Factor 5*f**s + 3*f - f**3 - 3*f**2 + 0*f**3.
-f*(f - 3)*(f + 1)
Suppose 3*f + f + 2*j = 14, 3*f = -5*j - 7. Suppose 6 + 0 + 36*b + 10*b**2 + f*b**2 + 2 = 0. Calculate b.
-2, -1/4
Let y(u) be the second derivative of -u**4/54 - 386*u**3/27 - 37249*u**2/9 - 916*u. Find f such that y(f) = 0.
-193
Let b(k) = k**4 - 1. Let h(p) = 30*p**4 + 42*p**3 + 48*p**2 + 0 - 3 - 3 + 27*p + 3*p**5. Let w be 1/2*96/(-4). Let y(q) = w*b(q) + h(q). Factor y(x).
3*(x + 1)**4*(x + 2)
Suppose -4*o - 3*o = -5*o. Let z = 2/3 - o. Factor -z*m**3 - 4/3 + 0*m**2 + 2*m.
-2*(m - 1)**2*(m + 2)/3
Suppose 4*c = -2*o + 16 - 2, 14 = c + 2*o. Factor 0 + c*g - 1/4*g**2 - 1/4*g**3.
-g**2*(g + 1)/4
Let j(y) be the second derivative of -y**8/336 - y**7/168 + y**6/18 + y**5/6 - 4*y**3 + 28*y. Let r(k) be the second derivative of j(k). Factor r(n).
-5*n*(n - 2)*(n + 1)*(n + 2)
Let j(a) be the second derivative of a**5/5 + 23*a**4 + 1058*a**3 + 24334*a**2 - 88*a. Factor j(m).
4*(m + 23)**3
Let o be (-8)/4 + (0 - -14). Factor -20 + 19*t + 29*t - 23*t**2 - o + 4*t**3 - t**2.
4*(t - 2)**3
Let n be (-12)/(-8)*(-4)/(-3). Factor 4*c**3 + 2*c**4 - 323*c**2 + 321*c**2 - n*c - 2*c.
2*c*(c - 1)*(c + 1)*(c + 2)
Let d(j) be the second derivative of 0 + 0*j**3 + 6*j - 1/120*j**6 - 1/24*j**4 + 3/80*j**5 + 0*j**2. Factor d(w).
-w**2*(w - 2)*(w - 1)/4
Let x = -6729 + 20189/3. Let -1/3 - x*p**2 + p = 0. Calculate p.
1/2, 1
Let i = -1078/29 + 9760/261. Find r, given that -2/9*r**3 + 0 + 0*r - i*r**2 = 0.
-1, 0
Find s such that 3*s + 0*s**2 - 1 - 6*s**2 + 2*s**2 + 2 = 0.
-1/4, 1
Factor -22 + 131/2*f + 3/2*f**2.
(f + 44)*(3*f - 1)/2
Let l(p) = 2*p**3 + 3*p**2 - 2*p. Let z be l(2). Suppose 22*d = 26*d - z. Factor -4*t + d + 2/3*t**2.
2*(t - 3)**2/3
Let h(c) = -15*c - 10*c**2 + 3 + 15*c**2 - 4. Let u(b) = -b**2 + 3*b. Let v(t) = -6*h(t) - 33*u(t). Let v(k) = 0. What is k?
1, 2
Let v(u) = -u + 8. Let s be v(4). Suppose -4*z + z**2 + 3 + 1 + 4*z + s*z = 0. Calculate z.
-2
Let s(o) be the first derivative of 3*o**5/25 + 57*o**4/20 + 57*o**3/5 - 957*o**2/10 + 726*o/5 + 62. Find l such that s(l) = 0.
-11, 1, 2
Let x be 3/((-1)/5*1). Let i be x/10*-2*7. Suppose i*w**4 - w**3 - 12*w**3 - 15*w**5 + w**3 + 15*w**4 = 0. Calculate w.
0, 2/5, 2
Let z(h) be the second derivative of 2*h**3 + h + 12*h**2 - 3/20*h**5 - 1/2*h**4 + 12. Factor z(d).
-3*(d - 2)*(d + 2)**2
Let x be 46/(-161) + 52/(-14) - 16/(-3). Let 0*o + x - 1/3*o**2 = 0. Calculate o.
-2, 2
Let w(t) = -t**2 + 6*t + 3. Suppose 0 = -5*u + 2*u + 12. Suppose -2*m + u = -3*m. Let j(z) = 2*z**2 - 11*z - 5. Let v(c) = m*j(c) - 7*w(c). Factor v(r).
-(r - 1)**2
Let u be 3/((-10)/(-25) - (-2)/(-30)). Factor -4*y**3 + 19 - 19 + 3*y**2 - 8*y + u*y**2.
-4*y*(y - 2)*(y - 1)
Factor -39*f**2 - 2 + 10 + 1221*f**4 - 10*f**3 + 14 - 4*f + 30 - 1220*f**4.
(f - 13)*(f - 1)*(f + 2)**2
Let w(a) be the first derivative of -a**5 + 15*a**4/2 - 20*a**3 + 20*a**2 + 735. Solve w(j) = 0 for j.
0, 2
Let x(o) be the first derivative of -o**3/5 - 21*o**2/2 + 222*o/5 + 320. What is n in x(n) = 0?
-37, 2
Determine r so that -16/5 - 36/5*r - 24/5*r**2 - 4/5*r**3 = 0.
-4, -1
Let h(a) = a**2 + a + 1. Let i(u) = 5*u**2 + 7*u + 6. Let m(q) = -30*h(q) + 5*i(q). Find z such that m(z) = 0.
0, 1
Let a(p) be the second derivative of p**4/8 + 69*p**3/2 - 417*p**2/4 - 99*p - 3. Solve a(i) = 0 for i.
-139, 1
Let w be (2*(-1)/(-4))/((-6)/88). Let j = w - -122/15. What is b in j*b**3 - b**2 + 2/5*b + 0 - 1/5*b**4 = 0?
0, 1, 2
Let v(l) = l + 3. Let q be v(1). Factor -6 - 3*d**2 + 20*d**4 - 21*d**q - 3*d**3 - d + 6.
-d*(d + 1)**3
Suppose 0 = -3*y + 20 + 4. Let -2*w**4 - y*w**2 + 2*w**3 - 2*w + 5*w**2 + 5*w**2 = 0. What is w?
-1, 0, 1
Let k(b) be the first derivative of -8/9*b**3 + 8/3*b - 11 + 5*b**2. Factor k(j).
-2*(j - 4)*(4*j + 1)/3
Suppose 8*v = 22 + 10. Let u = 155/114 + 8/57. Suppose -u*k**2 + 0*k + 9/4*k**v + 3/4*k**3 + 0 = 0. What is k?
-1, 0, 2/3
Suppose 0 = -90*z + 104 + 76. Let -1/10 - 2/5*q - 1/10*q**4 - 3/5*q**z - 2/5*q**3 = 0. Calculate q.
-1
Let a(y) be the third derivative of -y**6/24 + 37*y**5/12 - 70*y**4 + 750*y**3 + 223*y**2. Factor a(w).
-5*(w - 25)*(w - 6)**2
Let v = -12605 - -138657/11. Suppose -v*d**2 - 22 - 4*d = 0. What is d?
-11
Let p be (-3)/(-51) + (-1100)/(-374). Let r(a) be the first derivative of 0*a + a**4 + 12 + 0*a**2 - 8/3*a**p. Let r(i) = 0. Calculate i.
0, 2
Let c be ((-4)/(-40)*0)/9. Suppose 0*s + c*s**2 + 0 + 4/9*s**3 = 0. Calculate s.
0
Let a(f) be the third derivative of -f**8/252 + 4*f**7/315 - f**6/90 - 2*f**2 + 34*f. Determine u so that a(u) = 0.
0, 1
Let y = 540 - 3239/6. Let i(t) be the first derivative of -1/4*t**2 + y*t**3 - t - 5. Suppose i(c) = 0. Calculate c.
-1, 2
Let g be ((-28)/(-6))/(-1)*36/(-210). Factor g*b**4 + 0 - 1/5*b + 1/5*b**3 - 4/5*b**2.
b*(b - 1)*(b + 1)*(4*b + 1)/5
Let l(m) = -m**2 + 11*m + 82. Let u be l(16). Let z(c) be the second derivative of -c + 0 + 1/3*c**u + 1/18*c**4 - 2/9*c**3. Factor z(v).
2*(v - 1)**2/3
Let m = 49 + -38. Let p(s) = -11*s**2 + 11*s - 8. Let y(z) = -32*z**2 + 33*z - 23. Let t(b) = m*p(b) - 4*y(b). Find l such that t(l) = 0.
4/7, 1
Suppose 0*a = -0*a - 6*a. Let a - 35*p**2 + p**3 + 32*p**2 + 4 = 0. What is p?
-1, 2
Suppose 4*s = c + c - 44, 3*c - 4*s = 72. Suppose -61*v + 68*v = c. What is l in -2/3*l**v + 0 + 0*l**2 + 0*l - 1/3*l**5 - 1/3*l**3 = 0?
-1, 0
Let l(f) = 7*f**3 - 23*f**2 + 29*f - 13. Let q(i) = 28*i - 3 - 24*i**2 + 0*i**3 - 9 + 8*i**3. Let m(a) = -4*l(a) + 3*q(a). Let m(y) = 0. What is y?
1, 2
Let q(s) be the second derivative of 26/3*s**3 + 0 - 6*s**2 - 4*s + 2/21*s**7 - 14/15*s**6 + 18/5*s**5 - 22/3*s**4. Factor q(u).
4*(u - 3)*(u - 1)**4
Suppose -q - q = -3*x + 23, -4*q = 3*x + 1. Let a be 4*q/(-32) + (-2)/8. Factor 0*n**2 + 1/4*n - a*n**3 + 0.
-n*(n - 1)*(n + 1)/4
Let c(m) be the second derivative of -5*m**4/4 - 31*m**3/2 - 9*m**2 + 4*m + 29. Let c(q) = 0. Calculate q.
-6, -1/5
Let c = -23/54 - -22/27. Let a(k) be the second derivative of c*k**4 + 3/10*k**5 + 0 + 2/9*k**3 + 1/9*k**6 - 9*k + 1/63*k**7 + 0*k**2. Factor a(f).
2*f*(f + 1)**3*(f + 2)/3
Let p(b) be the first derivative of b**4/22 - 3*b**2/11 + 4*b/11 - 16. Factor p(h).
2*(h - 1)**2*(h + 2)/11
Let z be (0 - 2/(-12)) + (-22)/165. Let b(d) be the third derivative of 0*d - 1/24*d**4 - z*d**5 - 7*d**2 + 0*d**3 + 0 - 1/120*d**6. Factor b(y).
-y*(y + 1)**2
Let j(l) = 2*l**3 + l. Let w(d) = 15*d**3 + 30*d**2 + 93*d + 60. Let v(k) = 6*j(k) - w(k). Factor v(u).
-3*(u + 1)*(u + 4)*(u + 5)
Factor 8405/3 + 5/3*x**2 + 410/3*x.
5*(x + 41)**2/3
Let b(h) = 28*h**3 - 567*h**2 + 340*h + 250. Let f(m) = 9*m**3 - 189*m**2 + 114*m + 84. Let l(c) = 6*b(c) - 17*f(c). Let l(v) = 0. What is v?
-2/5, 1, 12
Suppose d - 2*h = -7, -d + 7*h = 10*h - 18. Suppose 1/2*g**4 + 1/2*g**d + 0 - 1/2*g**2 - 1/2*g = 0. Calculate g.
-1, 0, 1
Let u(f) be the first derivative of f**6/420 + f**5/105 + f**4/84 + 2*f**2 - 15. Let c(t) be the second derivative of u(t). Factor c(s).
2*s*(s + 1)**2/7
Let 4*y**4 + y**3 - 8*y**4 + 4*y**3 - 4*y**3 + 0*y**4 = 0. Calculate y.
0, 1/4
Let v = -114 - -117. Factor 3*n**4 + 117*n - 5*n**v + 9*n**2 - 120*n - 4*n**3.
3*n*(n - 1)**3
Let b(y) be the second derivative of y**5/80 - 7*y**4/12 + 221*y**3/24 - 169*y**2/4 - 5*y - 12. Factor b(l).
(l - 13)**2*(l - 2)/4
Let l be (-4)/(-40)*-2 + (-2 - (-11)/5). Factor 1/4*k**2 + 0*k - 5/4*k**5 - 3/4*k**3 + l - 9/4*k**4.
-k**2*(k + 1)**2*(5*k - 1)/4
Let p be 568/(-6532) + (539/(-92))/(-7). Let l = 83 - 329/4. Factor 0 + 3/2*s**3 - p*s + 0*s**4 - l*s**5 + 0*s**2.
-3*s*(s - 1)**2*(s + 1)**2/4
Let g be -2 + 1 - (1 + -4). Let s = 63 - 303/5. Fac