 2)*(h + 1)*(5*h - 2)/4
Let n(k) be the third derivative of -1/3*k**4 + 0 - k**2 - 1/15*k**5 + 16/3*k**3 + 0*k. Factor n(w).
-4*(w - 2)*(w + 4)
Let w(x) be the first derivative of 2*x**5/65 + 2*x**4/13 + 10*x**3/39 + 2*x**2/13 + 233. Factor w(q).
2*q*(q + 1)**2*(q + 2)/13
Let h(f) be the third derivative of -f**6/180 + f**4/12 - 13*f**3/6 + 32*f**2. Let v(n) be the first derivative of h(n). Let v(l) = 0. Calculate l.
-1, 1
Factor -6 - 1/4*d**2 - 7/2*d.
-(d + 2)*(d + 12)/4
Let c(w) be the first derivative of -w**3/27 + 49*w**2/18 - 46. Factor c(j).
-j*(j - 49)/9
Let u = 20 + -16. Let h be u*(3 + -4) - 1. Let v(r) = -3*r**2 - 9*r. Let b(q) = -2*q**2 - 8*q. Let z(k) = h*b(k) + 4*v(k). Determine l, given that z(l) = 0.
0, 2
Let s be (0 - (-4)/8)*0. Suppose -p - 1 + 9 = s. Solve -35*t**3 - 33*t**4 - 3*t**2 - 4*t + 2*t + 2*t**3 + p*t - 9*t**5 = 0 for t.
-2, -1, 0, 1/3
Let w(p) be the second derivative of -3*p**5/140 + p**4/7 - 3*p**3/14 - 82*p. Determine h, given that w(h) = 0.
0, 1, 3
Let h(d) be the third derivative of -d**5/570 - 5*d**4/76 + 16*d**3/57 - 91*d**2. Suppose h(z) = 0. Calculate z.
-16, 1
Let a(j) be the second derivative of -j**8/2352 + j**7/1470 + j**6/840 - j**5/420 - 23*j**2/2 - 22*j. Let q(i) be the first derivative of a(i). Factor q(b).
-b**2*(b - 1)**2*(b + 1)/7
Let p be (-4)/28*-2*(-7)/(-5). Let s = -2/1075 + 432/1075. Let 0 - p*z + s*z**2 = 0. Calculate z.
0, 1
Let s(u) = -20*u**4 + 4*u**2 + 8*u + 8. Let b(r) = -13*r**4 + 3*r**2 + 5*r + 5. Let p be (-4)/14 - 740/(-140). Let l(t) = p*s(t) - 8*b(t). Factor l(a).
4*a**2*(a - 1)*(a + 1)
Suppose -c + 2*l = 0, 5*c + 5*l - 11 = 4. Let -3/2*h**c - 2*h + 1/4*h**4 + 0*h**3 - 3/4 = 0. Calculate h.
-1, 3
Let r(x) be the second derivative of -1/6*x**3 + 0*x**2 + 0 + 1/20*x**5 + 0*x**4 + 10*x. Factor r(z).
z*(z - 1)*(z + 1)
Let w(d) be the second derivative of -1/30*d**6 + 1/3*d**3 + 0 + 18*d + 1/42*d**7 + 0*d**2 - 3/20*d**5 + 1/12*d**4. Factor w(x).
x*(x - 2)*(x - 1)*(x + 1)**2
Let v(a) be the first derivative of -2*a**3/21 - 11*a**2/7 - 20*a/7 - 83. Factor v(i).
-2*(i + 1)*(i + 10)/7
Let c(l) = -l + 7. Let x be c(4). Factor 0*v**x - 6*v**3 + 13*v**4 - 3*v**5 + v - 5*v**4.
-v*(v - 1)**3*(3*v + 1)
Let i(o) be the second derivative of -35*o**7/24 - 7*o**6/3 + 13*o**5/8 + 5*o**4/2 - 15*o**3/8 - o - 31. Factor i(a).
-5*a*(a + 1)**2*(7*a - 3)**2/4
Let u = 2063 - 4123/2. Suppose -9/2*p**3 + 0 - u*p**5 - 6*p**2 + 6*p + 6*p**4 = 0. What is p?
-1, 0, 1, 2
Suppose -5*t + a + 3 = 4*a, -1 = -a. Let b = t + 5. Let 7*s**3 - 6*s**4 + 4*s**2 - 13*s**4 - 3*s**3 + 7*s**b + 4*s**3 = 0. What is s?
-2/7, 0, 1, 2
Let y(u) be the first derivative of 1/10*u**5 + 0*u**4 + 2 - 1/3*u**3 - 10*u + 0*u**2. Let v(m) be the first derivative of y(m). Find n, given that v(n) = 0.
-1, 0, 1
Let d(f) = 15*f**2 - 800*f + 170. Let o(g) = -g**2 + 57*g - 12. Let y(p) = 6*d(p) + 85*o(p). Determine b, given that y(b) = 0.
-9, 0
Let l(f) be the first derivative of -f**5 - 5 + 0*f**4 + 40/3*f**3 + 0*f**2 - 80*f. Determine w, given that l(w) = 0.
-2, 2
Let m(h) = 17*h - 26. Let k be m(-5). Let p = k + 111. Factor p*y + 0 - 1/3*y**2.
-y**2/3
Let w(p) be the first derivative of -p**6/2 + 24*p**5/5 - 18*p**4 + 34*p**3 - 69*p**2/2 + 18*p + 754. Find o such that w(o) = 0.
1, 2, 3
Let m(q) be the second derivative of -q**6/1350 - q**5/900 + q**4/180 + q**3/2 - 3*q. Let h(f) be the second derivative of m(f). Solve h(l) = 0.
-1, 1/2
Factor -70 - 46*s - 2*s**2 - 7*s**2 + 12*s**2 + 5*s**2.
2*(s - 7)*(4*s + 5)
Let v(k) be the third derivative of -k**6/180 + k**5/90 + k**4/3 - 186*k**2. Determine f so that v(f) = 0.
-3, 0, 4
Determine b so that 1/5*b**4 + 1/5*b**5 + 0 - 13/5*b**2 - 7/5*b**3 - 6/5*b = 0.
-2, -1, 0, 3
Let m(z) be the third derivative of -1/2*z**3 + 1/20*z**5 + 0*z + 3/8*z**4 + 19*z**2 - 3/40*z**6 + 0. Solve m(g) = 0.
-1, 1/3, 1
Let z be (6/10)/(4 + (-57)/15). Suppose 4 = 4*i - 4. Factor i*m + 0*m + 4*m**3 - 2 + 2*m**2 - 6*m**z.
-2*(m - 1)**2*(m + 1)
Factor 0 + 0*t - 2/11*t**3 + 4/11*t**2.
-2*t**2*(t - 2)/11
Suppose 10*k + 38 = 3*y + 5*k, 0 = k + 4. Let t be ((-4 - -2) + 13/y)*4. Determine w so that 0*w - 2/3*w**4 - t*w**2 + 0 - 4/3*w**3 = 0.
-1, 0
Let y(s) be the first derivative of -s**4/10 - 2*s**3/3 - 2*s**2/5 + 16*s/5 - 52. Suppose y(f) = 0. What is f?
-4, -2, 1
What is y in -22*y**3 - 10*y + 12*y**3 - 9*y**5 - 45*y**2 + 42*y**4 + 3*y**4 + 29*y**5 = 0?
-2, -1, -1/4, 0, 1
Let k be (-9)/6*(-1)/9. Let m be (-9)/15*(-20)/4. Factor 0 + 0*j + 1/6*j**4 + 1/6*j**m - k*j**5 - 1/6*j**2.
-j**2*(j - 1)**2*(j + 1)/6
Factor 363/4*x**2 - 183/2*x + 3/4*x**3 + 0.
3*x*(x - 1)*(x + 122)/4
Let q = 2680 + -2675. Factor 16/13*u**4 + 0*u + 0 - 4/13*u**2 + 10/13*u**q + 2/13*u**3.
2*u**2*(u + 1)**2*(5*u - 2)/13
Suppose -29*q + 51*q = 0. Let u(v) be the first derivative of 1/2*v**4 - v**2 + 4 + 2/3*v**3 + q*v - 2/5*v**5. Find t, given that u(t) = 0.
-1, 0, 1
Let z(g) = -g**3 + g - 1. Let j be z(-2). Suppose 3*b + 18 = 2*b - j*q, -4*b = -3*q - 20. Solve -2*k**b + 2*k**4 + 4*k + 0*k**4 - 2*k**3 - k - k = 0.
-1, 0, 1
Factor 26/5*g - 1/5*g**4 - 27/5 - 26/5*g**3 + 28/5*g**2.
-(g - 1)**2*(g + 1)*(g + 27)/5
Find a such that 93/7*a + 96/7 - 3/7*a**2 = 0.
-1, 32
Let z(b) be the second derivative of 9*b - 5/6*b**3 + 0 - 10*b**2 + 5/3*b**4 + 1/4*b**5. Determine l, given that z(l) = 0.
-4, -1, 1
Let w(q) be the first derivative of -q**4/12 - q**3/3 - q**2/2 + 6*q + 6. Let x(h) be the first derivative of w(h). Factor x(z).
-(z + 1)**2
Let u = 73/13 + -355/91. Factor u*z - 3/7*z**2 - 12/7.
-3*(z - 2)**2/7
Let a(n) = n**2 - 2*n + 3. Let m be a(4). Suppose 4*c - m = -3. Factor 3*f**2 - 4*f**3 + 10*f**3 - c*f**4 + 5*f**4.
3*f**2*(f + 1)**2
Let o(p) be the first derivative of 7*p**5/20 + 17*p**4/16 - p**3/12 - 17*p**2/8 - 3*p/2 - 544. Solve o(l) = 0 for l.
-2, -1, -3/7, 1
Let u(p) be the first derivative of p**5/5 - 5*p**4/4 + 7*p**3/3 - 3*p**2/2 - 279. Factor u(t).
t*(t - 3)*(t - 1)**2
Solve -2*k**5 - 8/7*k**2 + 0 + 0*k - 46/7*k**4 - 40/7*k**3 = 0 for k.
-2, -1, -2/7, 0
Factor -21*c + 172 + 62 + 0*c**2 - 3*c**2.
-3*(c - 6)*(c + 13)
Let z be (-270)/(-42) + 8/14. Solve 13*v + 10*v**2 + z*v - 40 + 0*v**3 - 5*v**3 = 0.
-2, 2
Let l(o) be the second derivative of 0*o**2 + 2/15*o**4 + 0 + 1/75*o**6 + 0*o**3 - 19*o - 2/25*o**5. Solve l(p) = 0 for p.
0, 2
Let p be (2/9)/((-3)/(-27)). Find z, given that -2*z - 27 + 2*z**p - 4*z + 31 = 0.
1, 2
Let q(k) be the third derivative of -5/6*k**4 + 0*k + 0 + 4/3*k**3 + 4/15*k**5 + 13*k**2 - 1/30*k**6. Factor q(n).
-4*(n - 2)*(n - 1)**2
Find c such that -55*c**2 + 21*c**2 + 31*c**2 = 0.
0
Let q(y) be the first derivative of -3*y**2/2 + 55*y - 15. Let a be q(17). Solve 0*v + 1/4*v**2 + 1/4*v**a - 1/2*v**3 + 0 = 0.
0, 1
Suppose -260 - 140 = -4*m. Let 22*y - m - 4*y**2 + 12*y + 6*y = 0. Calculate y.
5
Let u(q) be the first derivative of -q**6/180 - 4*q**3 - 6. Let i(w) be the third derivative of u(w). Determine n so that i(n) = 0.
0
Let g = 12467 + -12464. Factor 0 - 5/7*n**g + 2/7*n**4 + 1/7*n**2 + 2/7*n.
n*(n - 2)*(n - 1)*(2*n + 1)/7
Let u(y) = y**2 + 6*y + 7. Let n be u(-5). Factor -n*v + 3*v + 4*v**2 - 5*v**2.
-v*(v - 1)
Let -232/3*z**2 - 992/3 - 976/3*z + 4/3*z**3 = 0. Calculate z.
-2, 62
Suppose 16*t + 487 = 59*t + 487. Determine v so that t + 40/11*v**3 + 0*v + 50/11*v**4 + 8/11*v**2 = 0.
-2/5, 0
Factor -12*v - 42*v + 218 - 4*v**2 - 50 + 7*v**2.
3*(v - 14)*(v - 4)
Factor 172*m**2 + 33 + 31 + 133*m**3 - 276*m - 81*m**3 - 96*m**3 + 80 + 4*m**4.
4*(m - 4)*(m - 3)**2*(m - 1)
Let y = -1285 - -78388/61. Let k = y - -162/427. Find z, given that -1/7*z**5 + 2/7*z**2 + 0 + 0*z**4 + 0*z + k*z**3 = 0.
-1, 0, 2
Factor 15 + u**4 + u**3 - u**3 - 38*u - 7*u**3 + 0*u**2 + 32*u**2 - 3*u**3.
(u - 5)*(u - 3)*(u - 1)**2
Let j(k) be the second derivative of 5*k**8/336 - k**7/21 - k**6/24 + k**5/6 + 13*k**2/2 - 21*k. Let o(b) be the first derivative of j(b). Solve o(r) = 0 for r.
-1, 0, 1, 2
Let q be (34/(-54))/(44/(-8)). Let t = 8/27 - q. Solve 2/11*p**2 + 4/11*p + t = 0.
-1
Let c(y) = 3*y**3 - 2*y**2 + y. Let r(i) = -i + 12. Let t be r(11). Let l be c(t). Factor -11 - g + g**l + 0*g + 9.
(g - 2)*(g + 1)
Suppose -h + 6*h = 250. Let s = h - 149/3. Factor 1/3*v - v**2 - s*v**3 + 1.
-(v - 1)*(v + 1)*(v + 3)/3
Let a(n) be the first derivative of 2*n**7/1