i**5 + 1/2*i**3 + 0*i - 4*i**2 + 1/1080*i**6 + 0. Let z(n) be the first derivative of u(n). Factor z(g).
(g - 2)*(g - 1)/3
Let y = -245767/22 + 122352/11. Let g = 97/2 + y. Factor -4/11 + 2/11*f + g*f**2.
2*(f - 1)*(f + 2)/11
Suppose 4*b = -9 + 17. Let l(g) = 35*g**3 + 343*g**2 + 775*g - 250. Let t(p) = 35*p**3 + 342*p**2 + 775*p - 250. Let o(w) = b*l(w) - 3*t(w). Factor o(y).
-5*(y + 5)**2*(7*y - 2)
Factor 19*k**2 - 82*k**3 + 10*k - 2*k + 244*k**3 + 53*k**2.
2*k*(9*k + 2)**2
Solve 13*h + 1/5*h**2 - 134/5 = 0 for h.
-67, 2
Suppose 5*p - 86 = 4*q, 4*q - 6*q = 3*p + 54. Let b = q - -29. Factor 360*r**3 - 60*r**4 + 24 + 1620*r - 440 + 4*r**b - 1080*r**2 - 506 - 50.
4*(r - 3)**5
Let v(u) be the first derivative of -22 - 21/20*u**5 - 27/2*u**2 + 17*u**3 - 12*u - 27/16*u**4. Let v(c) = 0. Calculate c.
-4, -2/7, 1, 2
Factor -32/11*w**2 + 0 + 38/11*w**3 - 6/11*w.
2*w*(w - 1)*(19*w + 3)/11
Let b(d) be the first derivative of 5*d**4/16 - 15*d**2/8 + 5*d/2 - 182. Solve b(k) = 0.
-2, 1
Let l(c) = -7*c**4 - 2*c**3 - 3*c**2 - 8*c - 4. Let h(z) = 16*z**4 + 4*z**3 + 6*z**2 + 18*z + 9. Let u(b) = 4*h(b) + 9*l(b). Factor u(k).
k**2*(k - 3)*(k + 1)
Let d = 1567 + -4700/3. Let z(l) be the first derivative of 0*l**2 + d*l**3 + 0*l - 1/4*l**4 - 8. Factor z(w).
-w**2*(w - 1)
Factor 102 + 14*k**3 + 202*k + 123*k**2 - 16*k**3 - 25*k**2.
-2*(k - 51)*(k + 1)**2
Let v(h) be the third derivative of 0*h + 13*h**2 - 1/5*h**5 - 5/3*h**4 + 0 - 2*h**3. Factor v(y).
-4*(y + 3)*(3*y + 1)
Suppose -5*n - 839 = -64. Let r = n + 157. Let -10/11*g - 4/11 + 20/11*g**3 + 20/11*g**4 + 0*g**r + 6/11*g**5 = 0. Calculate g.
-1, 2/3
Let c be -1 + 3/5*5. Find k, given that 5 + 1 - 2 + 26*k - 30*k**c = 0.
-2/15, 1
Factor -4*k**2 + 12*k**3 - 16*k**3 + 2*k**4 + 2*k**4 + 16*k**3 - 12*k.
4*k*(k - 1)*(k + 1)*(k + 3)
Let d(f) be the second derivative of f**4/48 + 29*f**3/6 + 841*f**2/2 + 44*f. Find l, given that d(l) = 0.
-58
Let d(z) be the third derivative of -z**8/2352 - z**7/1470 + z**6/840 + z**5/420 - 93*z**2. Determine r so that d(r) = 0.
-1, 0, 1
Suppose -8 = 3*j + 5*d, 0*j - 24 = -5*j + d. Suppose 14 = j*z + 6. Factor 0 - 7/3*w**z - 2/3*w.
-w*(7*w + 2)/3
Let w(y) be the first derivative of -y**5/5 + y**4/4 + 8*y**3/3 - 6*y**2 + 167. Solve w(k) = 0 for k.
-3, 0, 2
Suppose 5*b + 10 = 35. Factor -b*v**3 + 2*v**3 + 6*v - 5*v**2 + 2*v**2 + 0*v.
-3*v*(v - 1)*(v + 2)
Let -972/7 - 54*y - 20/7*y**3 - 2/7*y**5 - 4*y**4 + 600/7*y**2 = 0. What is y?
-9, -1, 2, 3
Let k(m) be the first derivative of -m**5/100 - m**4/15 + m**3/30 + 2*m**2/5 + 6*m - 5. Let f(b) be the first derivative of k(b). Factor f(y).
-(y - 1)*(y + 1)*(y + 4)/5
Factor -3*p**3 + 3*p**3 + 4*p**3 - 4*p**4 + 2*p**2 - 4*p + 2*p**4.
-2*p*(p - 2)*(p - 1)*(p + 1)
Let h(b) be the third derivative of 0*b**3 + 0*b + 2/105*b**7 + 0*b**4 + 0 + b**2 + 0*b**5 + 1/42*b**8 + 1/240*b**6. What is x in h(x) = 0?
-1/4, 0
Let k(j) = -j**3 + 6*j**2 + 7*j - 42. Let z be k(6). Let d(t) be the second derivative of z*t**2 + 10*t + 2/15*t**3 + 0 + 1/30*t**4. Let d(c) = 0. Calculate c.
-2, 0
Let u = -32 + 37. Solve -l**4 - l**u + 4*l**3 + 6*l + l**2 - 6*l - l**3 - 2*l = 0 for l.
-2, -1, 0, 1
Let t be (8/(-3))/(6/18). Let u = -4 - t. Factor 4*n**2 + 0*n**4 - 2*n**4 + 2*n + 2*n**5 + 0*n**4 + 0 - u*n**3 - 2.
2*(n - 1)**3*(n + 1)**2
Let s(y) be the first derivative of -y**6/405 - 11*y**5/540 + y**4/36 - 7*y**3/3 + 15. Let n(r) be the third derivative of s(r). Factor n(d).
-2*(d + 3)*(4*d - 1)/9
Let j be (-105)/30*(7 - (-110)/(-14)). Find k such that 0 - 1/3*k**2 + 1/6*k**j + 1/6*k = 0.
0, 1
Suppose 4*m - 13 - 7 = 0. Let x(f) = f**2 - 5*f. Let r(a) = -2*a**2 + 9*a. Let g(h) = m*x(h) + 3*r(h). Find d such that g(d) = 0.
0, 2
Factor -3*h + 3/2*h**2 + 0 - 3/2*h**4 + 3*h**3.
-3*h*(h - 2)*(h - 1)*(h + 1)/2
Let b(u) = -5*u**2 + u - 1. Let l(i) = 28*i**2 - 98*i - 1052. Let g(w) = 6*b(w) + l(w). Factor g(z).
-2*(z + 23)**2
Let l(d) = -d**3 + 6*d**2 + 16*d - 2. Let y be l(8). Let j be (-15)/(-6) - y/12. Factor -2/3*a + j*a**2 + 0 - 2*a**3.
-2*a*(a - 1)*(3*a - 1)/3
Suppose -2605*t + 26 = -2592*t. Suppose 0 + 1/3*o**4 - 4/3*o**t + 0*o**3 + 0*o = 0. Calculate o.
-2, 0, 2
Let j(c) = -7*c**2 - 3 - c**3 + 3*c**3 + 3*c**2. Let m(l) = 2*l**3 - 3*l**2 - 2. Let a(o) = 2*j(o) - 3*m(o). Let a(p) = 0. What is p?
0, 1/2
Let y be -7*(-1 + (3 - 3)). Suppose -2*f + 2*m - 5*m - 2 = 0, -5*m - 2 = 4*f. Determine w, given that w - 3*w**2 - f*w**4 + 2*w + w - y*w**2 + 8*w**3 = 0.
0, 1, 2
Let c(u) = u**2 - 1. Let s(f) be the second derivative of -f**4/12 + 2*f**3/3 - 3*f**2/2 + 2*f. Let o = -23 + 22. Let h(g) = o*s(g) - 5*c(g). Factor h(v).
-4*(v - 1)*(v + 2)
Let l(k) be the second derivative of k**6/165 + 2*k**5/55 - 7*k**4/66 - 10*k**3/33 + 40*k - 5. Factor l(s).
2*s*(s - 2)*(s + 1)*(s + 5)/11
Let s(g) = g - 3. Let x be s(5). Let b(d) = 31*d + 124. Let j be b(-4). Suppose 0*y - 3/4*y**3 + j + 3/4*y**x = 0. Calculate y.
0, 1
Let s be (-3 - -2 - -10)*(-2)/(-4). Let u(d) = -17*d + 3. Let l be u(-1). Find k such that -8*k**4 - 1 + 13/2*k - s*k**2 - l*k**3 = 0.
-2, -1, 1/4
Let r(s) be the second derivative of -s**5/20 - 5*s**4/2 - 75*s**3/2 + 41*s. Factor r(f).
-f*(f + 15)**2
Let h(z) = -2*z**3 + 19*z**2 + z - 20. Let l(r) = r**3 - 10*r**2 - r + 10. Let o(f) = 4*h(f) + 7*l(f). Find w such that o(w) = 0.
-1, 2, 5
Let x(i) = -i**2 - 37*i - 319. Let q be x(-14). Let k(m) be the second derivative of 0*m**q + 0 + 2*m - 1/6*m**4 + 0*m**2. Determine h so that k(h) = 0.
0
Suppose 0 = -149*c + 139*c. Let t(h) be the first derivative of -2 + c*h + 1/28*h**4 - 1/14*h**2 + 0*h**3. Factor t(g).
g*(g - 1)*(g + 1)/7
Let i(q) be the second derivative of 0 - 1/6*q**3 - 3/10*q**2 + 4*q + 1/20*q**4 + 1/20*q**5. Factor i(p).
(p - 1)*(p + 1)*(5*p + 3)/5
Suppose 29*b - 120 = -2*b - 29*b. Factor -3/2*d**b + 0 + 3/4*d**3 - 9/4*d.
3*d*(d - 3)*(d + 1)/4
Let y(t) = -t**2 - 5*t + 6. Let d(u) = -u**2 - 8*u + 9. Let c(s) = -5*d(s) + 8*y(s). Let x(z) = -2*z**2 + 2. Let f(n) = 3*c(n) - 2*x(n). Factor f(a).
-5*(a - 1)*(a + 1)
Let w(k) be the second derivative of k**4/3 - 16*k**3/3 + 32*k**2 + 8*k + 5. Factor w(t).
4*(t - 4)**2
Factor 128 - 80*v**2 + 44*v**4 + 50*v**4 - 36*v**3 - 98*v**4 - 8*v**2.
-4*(v - 1)*(v + 2)*(v + 4)**2
Factor -6*h**4 + 5*h**4 + 3*h + 5*h**3 + 5*h**3 + 2 - h**2 - 13*h**3.
-(h - 1)*(h + 1)**2*(h + 2)
Suppose -6 + 2/3*t**2 + 2*t - 2/9*t**3 = 0. Calculate t.
-3, 3
Suppose -b = -5*s - 25, -b - 57 = s - 52. Let -1/10*c**2 + b + 1/5*c = 0. What is c?
0, 2
Let s(f) = -f + 1. Let i(g) = -g**4 - 3*g**3 - 3*g**2 + 10*g - 11. Let j(x) = 2*i(x) + 22*s(x). Factor j(z).
-2*z*(z + 1)**3
Let g be (-6738)/88 + 9/(495/(-10)). Let h = 77 + g. Factor -1/4*j - 1/2 + 1/4*j**3 + 3/4*j**2 - h*j**4.
-(j - 2)*(j - 1)*(j + 1)**2/4
Let u be 12876/15540 + 6/(-5)*(-2)/(-6). Factor -6/7*y**3 - u - 3/7*y**5 + 9/7*y**4 + 9/7*y - 6/7*y**2.
-3*(y - 1)**4*(y + 1)/7
Let a(i) be the second derivative of -i**8/6720 + i**7/1260 - i**6/720 - 5*i**4/12 - i - 18. Let r(g) be the third derivative of a(g). Let r(f) = 0. What is f?
0, 1
Let b(y) be the first derivative of 6*y - 2/3*y**3 - 2*y**2 + 11. Let b(h) = 0. What is h?
-3, 1
Let z(y) = -y**3 + 12*y**2 - 11*y + 3. Suppose -4*h + 2*h + 22 = 0. Let w be z(h). Factor 1/5*x**4 + 3/5*x**2 + 3/5*x**w + 0 + 1/5*x.
x*(x + 1)**3/5
Let c(i) be the third derivative of i**8/50400 + i**7/2520 + i**6/450 - 7*i**5/30 + 22*i**2. Let y(p) be the third derivative of c(p). Factor y(h).
2*(h + 1)*(h + 4)/5
Let c(i) be the first derivative of 4/3*i**3 - 5/2*i**4 + 5/4*i**5 + 0*i - 1 + 0*i**2. Factor c(m).
m**2*(5*m - 4)**2/4
Let f(s) be the second derivative of -3/28*s**4 + 3/14*s**3 + 3/140*s**5 + 26*s - 3/14*s**2 + 0. Factor f(y).
3*(y - 1)**3/7
Let b(l) be the first derivative of -15 - l**2 - l - 1/4*l**3. Factor b(g).
-(g + 2)*(3*g + 2)/4
Suppose -5*f - 20 - 55 = 0. Let x = f + 21. Determine i, given that 40*i**2 - 43*i**2 - 4 + 4 - x*i = 0.
-2, 0
Let d(n) be the first derivative of 3*n**4/28 - 3*n**3/7 - 127. Factor d(x).
3*x**2*(x - 3)/7
Solve 0 + 0*r - 4/3*r**5 - 2/3*r**2 - r**4 + 3*r**3 = 0.
-2, 0, 1/4, 1
Let c(p) be the third derivative of -p**7/2100 + p**6/200 - 13*p**5/600 + p**4/20 - p**3/15 + 4*p**2 - 30. Let c(o) = 0. Calculate o.
1, 2
Let s = -1 - -1. Let v = 15/62 + 173/310. Find h such that 2*h**3 +