 x(s).
2*s*(s - 1)**2*(s + 1)*(s + 3)
Let y(u) be the first derivative of 1/3*u**2 - 14 + 1/18*u**4 + 2/9*u**3 + 2/9*u. Let y(k) = 0. Calculate k.
-1
Let x be (9 - 7)/((-7)/(-14)). Let f(d) be the second derivative of -3/2*d**3 - 1/4*d**4 + 9/20*d**5 + 0 - 1/10*d**6 + 3*d**2 + x*d. Factor f(k).
-3*(k - 2)*(k - 1)**2*(k + 1)
Factor -30 - 3/4*w**3 + 87/2*w - 51/4*w**2.
-3*(w - 2)*(w - 1)*(w + 20)/4
Let l = 44 - 18. Let d be ((-2)/l)/((-12)/48). Factor -d*a - 2/13*a**2 + 6/13.
-2*(a - 1)*(a + 3)/13
Let y be (1/2)/(1/(-514)). Let p = -1281/5 - y. Let 4/5*x**2 + 8/5*x**3 + 2/5*x**5 - 2*x - 8/5*x**4 + p = 0. What is x?
-1, 1, 2
Let g(z) be the third derivative of 1/540*z**6 + 0*z**3 - 1/1512*z**8 + 0 - 1/315*z**7 + 0*z**4 + 1/90*z**5 + 0*z + 28*z**2. Find m such that g(m) = 0.
-3, -1, 0, 1
Let v = 23916 + -23916. What is y in v*y**2 + 0 - 8/3*y + 2*y**3 - 2/3*y**4 = 0?
-1, 0, 2
Suppose 0 = 2*v + 3*l + 151, 5*v - l + 337 = -66. Let j be ((-30)/v)/(1/8). Factor 0*i**2 + 4/3*i**j + 0*i + 0.
4*i**3/3
Let s(m) be the first derivative of -7*m**3/12 + 327*m**2/8 + 47*m/2 - 893. Suppose s(f) = 0. What is f?
-2/7, 47
Let x(r) = -r**2 - 32*r + 971. Let l be x(-51). Let 0 - 36/5*h + 6/5*h**l = 0. What is h?
0, 6
Let j = 6731/36540 - 21/116. Let g(z) be the second derivative of 0*z**3 + 3*z - 1/90*z**4 + 0 - 1/150*z**5 + j*z**7 + 1/225*z**6 + 0*z**2. Factor g(m).
2*m**2*(m - 1)*(m + 1)**2/15
Suppose 4*c - 2*c - 74 = 0. Let g = -35 + c. Factor 2/3*a + 2*a**g + 2/3*a**4 + 0 + 2*a**3.
2*a*(a + 1)**3/3
Let d be 40/(-8) + 18 + -9. Let g(s) be the first derivative of 0*s**2 - 8 - 3/20*s**d + 0*s + 0*s**3. Factor g(b).
-3*b**3/5
Factor -14*q**3 + 195*q**2 + 13*q**3 + 15*q + 14*q**3 + 11*q**3 + 9*q.
3*q*(q + 8)*(8*q + 1)
Determine k, given that 116/3*k**2 + 64/3 - 160/3*k + k**4 - 32/3*k**3 = 0.
2/3, 2, 4
Suppose -71 = -2*n - 63. Let z(y) = y**2 - 3*y - 2. Let c be z(n). Factor 2/3*m**4 + 0 + 4/3*m**3 - 4/3*m - 2/3*m**c.
2*m*(m - 1)*(m + 1)*(m + 2)/3
Let i(l) be the third derivative of -5*l**8/672 + 11*l**7/420 - l**6/120 - l**5/12 + 7*l**4/48 - l**3/12 + 57*l**2. Find b, given that i(b) = 0.
-1, 1/5, 1
Let h = 35/78 + -3/26. Let b = 63 + -59. Solve 1/3*d**2 - 1/3*d**b + 1/3*d**5 + 0*d - h*d**3 + 0 = 0 for d.
-1, 0, 1
Let f(i) be the first derivative of 2*i**3/27 - 8*i**2/9 + 8*i/3 + 85. Factor f(q).
2*(q - 6)*(q - 2)/9
Let u(p) be the third derivative of 0*p**4 - 1/105*p**7 + 0*p**5 + 1/120*p**6 + 47*p**2 + 1/336*p**8 + 0 + 0*p**3 + 0*p. Factor u(g).
g**3*(g - 1)**2
Let o = -35033 + 35035. Factor 24*u + 27/2*u**o + 32/3.
(9*u + 8)**2/6
Let c be 1/(-4)*10/15. Let g = 3/2 + c. Let 4*p + 2*p**3 + 1/3*p**4 + 13/3*p**2 + g = 0. Calculate p.
-2, -1
Let n(b) = 2*b**3 - b**2 + b. Let u(m) = 2*m**4 - 14*m**3 - 8*m**2 + 12*m. Let t(k) = 4*n(k) + u(k). Let t(z) = 0. Calculate z.
-2, 0, 1, 4
Let m(d) be the third derivative of d**7/70 + d**6/10 - 7*d**5/20 - 5*d**4/4 - 575*d**2. Factor m(n).
3*n*(n - 2)*(n + 1)*(n + 5)
Let p = 94 + -94. Let w = -120 + 120. Factor w*c + 0*c**3 + 2/7*c**2 - 2/7*c**4 + p.
-2*c**2*(c - 1)*(c + 1)/7
Let m(y) be the first derivative of -3*y**4/14 - 10*y**3/7 - 3*y**2 - 18*y/7 - 99. Factor m(s).
-6*(s + 1)**2*(s + 3)/7
Let x(m) be the third derivative of -7*m**5/15 - 4*m**4/3 - 2*m**3/3 - 2*m**2 + 6. Factor x(g).
-4*(g + 1)*(7*g + 1)
Suppose -2*h = 4*a - 6 - 10, -4*a + h + 16 = 0. Suppose a = 2*v - 4. Determine s, given that 8*s**5 - 3*s**2 + 4*s**5 + s**4 - 12*s**3 + s**4 + s**v = 0.
-1, -1/4, 0, 1
Factor -18*c + 31*c + 2*c**3 - 4*c**2 - 12*c - 3*c**3 + 4.
-(c - 1)*(c + 1)*(c + 4)
Suppose -8546 = -27*m - 8492. Factor -5/2*r**m - 1/2*r**3 + 13/2*r - 7/2.
-(r - 1)**2*(r + 7)/2
Let b(f) be the first derivative of f**5 - 5*f**4/4 - 5*f**3/3 + 5*f**2/2 + 47. Suppose b(k) = 0. Calculate k.
-1, 0, 1
Factor 1/11*n**3 + 30/11*n**2 - 84/11 + 53/11*n.
(n - 1)*(n + 3)*(n + 28)/11
Let k be 2/(-8) - (-164)/16. Suppose z = 6*z - k. Factor -j**2 - 2*j - 2 - j + j**3 + 2*j + 3*j**z.
(j - 1)*(j + 1)*(j + 2)
Let g(m) = -15*m + 5. Let n(u) = -u**2 - 15*u + 4. Let s(k) = k**2 + 8*k - 14. Let j be s(-10). Let x(h) = j*g(h) - 5*n(h). Factor x(i).
5*(i - 2)*(i - 1)
Let h(q) be the third derivative of 0 - 1/4*q**4 + 2/3*q**3 + 0*q - 10*q**2 + 1/30*q**5. Factor h(l).
2*(l - 2)*(l - 1)
Factor 9/11*x**2 + 27/11*x - 54/11 + 1/11*x**4 - 7/11*x**3.
(x - 3)**3*(x + 2)/11
Let f(i) be the second derivative of 3*i**5/80 - 7*i**4/48 - 11*i**3/12 + i**2 + 55*i. Factor f(u).
(u - 4)*(u + 2)*(3*u - 1)/4
Let w = 20/33 - 3/11. Let x = -167 + 171. Factor 2/3*c**2 + 2/3*c**3 + 1/3*c**5 - c + w - c**x.
(c - 1)**4*(c + 1)/3
Let k be ((-10)/(-30))/((-40)/(-168)). Let l be 6/(-4)*(-8)/15. Factor -2/5*f**2 - l + 1/5*f**3 - k*f.
(f - 4)*(f + 1)**2/5
Let l(z) be the second derivative of -z**4/46 + 8*z**3/69 + 3*z**2/23 + 33*z + 2. Suppose l(j) = 0. What is j?
-1/3, 3
Let k(s) be the first derivative of -2*s**3/21 - 4*s**2/7 - 91. Suppose k(o) = 0. Calculate o.
-4, 0
Let t = 51123/5 - 10287. Let o = t - -63. Find j, given that -o + 6/5*j - 3/5*j**2 = 0.
1
Let t(f) be the first derivative of -f**4/7 + 32*f**3/21 - 24*f**2/7 + 70. Solve t(b) = 0 for b.
0, 2, 6
Let f be (-10795)/2700 + 4 + 0. Let j(z) be the third derivative of f*z**6 + 0*z - z**2 + 4/27*z**3 - 1/90*z**5 + 0 + 0*z**4. Solve j(b) = 0.
-1, 2
Let w = 219 + -4379/20. Let m(h) be the second derivative of 1/45*h**6 + 1/18*h**4 - 5*h - 1/252*h**7 - 1/36*h**3 + 0*h**2 + 0 - w*h**5. Factor m(g).
-g*(g - 1)**4/6
Let c be (4 - (1 + 2)) + 3. Factor -3*v**3 + 0*v**c - 3*v**3 + 3*v**4 + 3*v**2.
3*v**2*(v - 1)**2
Let t(s) be the second derivative of -2*s**3/3 - s**2/2 + 2*s. Let k be t(-1). Find v, given that -20*v + 15*v**2 + k*v + 6 - 4*v = 0.
2/5, 1
Let y(f) = -7*f**3 - 2*f**2 + 2*f + 10. Let q(x) = -24*x**3 - 6*x**2 + 5*x + 31. Let z(i) = -2*q(i) + 7*y(i). Factor z(d).
-(d - 2)*(d + 2)**2
Suppose -9 = -4*k - 1. Suppose -2 + 294*c**3 - c**2 - 6*c**k + 3*c**2 - 5*c - 295*c**3 = 0. Calculate c.
-2, -1
Factor 26/3 - 18*a - 2/3*a**3 + 10*a**2.
-2*(a - 13)*(a - 1)**2/3
Let h(u) be the first derivative of 2*u**3/3 - 2*u**2 - 16*u + 109. Factor h(i).
2*(i - 4)*(i + 2)
Let g(m) be the second derivative of 4/15*m**6 + 0 + 1/9*m**7 + 6*m - 1/9*m**4 + 0*m**2 + 1/10*m**5 + 0*m**3. Factor g(t).
2*t**2*(t + 1)**2*(7*t - 2)/3
Let j(t) be the second derivative of 1/20*t**5 - 1/14*t**3 + 0*t**2 - 1/12*t**4 + 1/70*t**6 + 20*t + 0. Determine o so that j(o) = 0.
-3, -1/3, 0, 1
Let f(i) be the third derivative of i**7/735 - i**6/210 + i**4/42 - i**3/21 + 87*i**2. Suppose f(c) = 0. Calculate c.
-1, 1
Let v(k) be the third derivative of -k**5/60 - 5*k**4/4 + 31*k**3/6 + 4*k**2 + 21*k. Factor v(u).
-(u - 1)*(u + 31)
Determine g so that -1/3*g**4 + 3*g**3 + 0 - 8*g**2 + 16/3*g = 0.
0, 1, 4
Let h(q) be the first derivative of 2*q**5/15 - 25*q**4/6 - 225. Factor h(u).
2*u**3*(u - 25)/3
Factor 158*k**2 + 202*k**2 - 26*k**4 - 24*k**4 + 0*k**5 + 5*k**5 + 60*k**3.
5*k**2*(k - 6)**2*(k + 2)
Let h(q) be the third derivative of q**5/420 - q**4/168 - q**3/21 - 17*q**2. Factor h(g).
(g - 2)*(g + 1)/7
Let f(q) be the second derivative of -q**6/210 + 2*q**5/35 - 2*q**4/7 + 16*q**3/21 - 4*q**2 - q. Let d(m) be the first derivative of f(m). Solve d(z) = 0 for z.
2
Let n = -102386/11 - -9308. Factor -n*g**2 - 6/11*g + 0.
-2*g*(g + 3)/11
Let a = -1762 - -1762. Let -5*h**2 + a*h + 5/3*h**3 + 20/3 = 0. Calculate h.
-1, 2
Let n(w) be the third derivative of 0 + 2401/33*w**3 + 1/1155*w**7 + 0*w + 343/33*w**4 + 7/165*w**6 - 8*w**2 + 49/55*w**5. Solve n(x) = 0 for x.
-7
Find j such that -119*j**2 + 58*j**2 + 36*j**2 - 4 + 63*j**2 + 13*j + 21*j**3 = 0.
-1, 4/21
Let c = -442/5 - -89. Let m be 6*-2*(-4)/40. Factor -c*x + 9/5*x**3 + m*x**2 + 0.
3*x*(x + 1)*(3*x - 1)/5
Let l(n) = n - 5. Let j be l(9). Let 0*b**5 + 6*b**j - b**5 + 12*b**2 - 10*b**3 - 4*b + 9*b**3 - 12*b**3 = 0. Calculate b.
0, 1, 2
Let k(w) be the third derivative of -w**9/3024 + w**8/672 - 5*w**4/24 + 9*w**2. Let s(q) be the second derivative of k(q). Determine l, given that s(l) = 0.
0, 2
Let o(w) be the first derivative of 3*w**5/5 + 3*w**4 + 2*w**3 - 6*w**2 - 9*w + 374. Factor o(c).
3*(c - 1)*(c + 1)**2*(c + 3)
Let u(b) be the first derivative of 17 - 5/4*b**4 + 0*b - b**5 + 0*b**2 + 0*b**3. Let u(i) = 0. Calculate i.
-1, 0
Fac