 46*j**2. Let f(m) be the first derivative of w(m). Factor f(u).
-(u - 14)**2/5
Let r(v) be the first derivative of -v**4/12 + 11*v**3/9 - 5*v**2/3 - 73. Determine u, given that r(u) = 0.
0, 1, 10
Let g be 540/(-300) - 9/(-5). Factor 4/7*k**4 - 16/7*k**2 + 12/7*k**3 + g*k + 0.
4*k**2*(k - 1)*(k + 4)/7
Let l(h) be the second derivative of -h**4/60 + 14*h**3/15 - 64*h - 1. Find g such that l(g) = 0.
0, 28
Let q(z) be the third derivative of -3/40*z**4 + 0 + 1/200*z**6 + z**2 + 0*z**5 + 1/5*z**3 + 0*z. Solve q(s) = 0.
-2, 1
Let c(q) be the second derivative of q**6/150 + q**5/10 + 37*q**4/60 + 2*q**3 + 18*q**2/5 - 302*q. Factor c(b).
(b + 2)**2*(b + 3)**2/5
Suppose -5 = -c + n, 0*n - n - 13 = -3*c. Suppose 0 = 2*w + 3*x - c, -5*w + 4 = 3*x - 6. Find s, given that -1/2*s + 5/4*s**w - s**3 + 0 + 1/4*s**4 = 0.
0, 1, 2
Let v(l) be the third derivative of 0 + 13/540*l**6 + 0*l - 1/5*l**5 + 33*l**2 + 5/9*l**4 - 8/27*l**3. What is y in v(y) = 0?
2/13, 2
Let z be 9/4*(-80)/(-30). Suppose 5*u + o = z*o, 5*u - 10 = 3*o. Factor 27*p + 8*p**3 + 2*p**3 + 6 + u*p**3 + 36*p**2.
3*(p + 1)**2*(5*p + 2)
Let a(t) = -t**2 + 65*t - 64. Let g(i) = 3*i**2 - 162*i + 159. Let o(p) = -12*a(p) - 5*g(p). Find z such that o(z) = 0.
1, 9
Suppose u - 11*u = -30. Suppose u*g - m - 3 = 0, 2*m = 3*m - 3. Factor -2/11 + 2/11*w**g + 2/11*w**3 - 2/11*w.
2*(w - 1)*(w + 1)**2/11
Determine z, given that 17*z**2 - 71*z**2 - 24 + 31*z + 35*z - 6*z - 3*z**4 + 21*z**3 = 0.
1, 2
Suppose 0*f - 3/2*f**2 + 3/2*f**4 + 1/2*f**5 + 0 - 1/2*f**3 = 0. What is f?
-3, -1, 0, 1
Let w(d) be the first derivative of 4*d**3/3 + 56*d**2 - 17. Solve w(z) = 0.
-28, 0
Let x be (-3)/((-66)/54 + 2/9). Find u such that 12 + 22*u - 9*u + 0*u**3 + 12*u**2 + 2*u**x + 9*u = 0.
-3, -2, -1
Let r(d) be the second derivative of -d**6/72 - d**5/6 - 5*d**4/8 + 5*d**3/6 - 34*d. Let p(n) be the second derivative of r(n). Suppose p(y) = 0. What is y?
-3, -1
Let k = -205 + 207. Let u be (-920)/(-299) - 1/13. Factor 4/3*n**k - 2/3*n**u + 0*n + 0.
-2*n**2*(n - 2)/3
Suppose -2*b = j - 0*j - 3, 4*j = -5*b + 6. Factor -15*z**3 + z - 5*z**4 - 3*z - 15*z**b - 2*z - z.
-5*z*(z + 1)**3
Let j = -1/6 + 2/3. Let n be 0 - (-2 + (1 - 1)). Factor -7/4*p + j + 5/4*p**n.
(p - 1)*(5*p - 2)/4
Let d be (741/52 + -12)/(2*(-5)/(-16)). Let -102/5*b - 12 - d*b**2 = 0. What is b?
-5, -2/3
Let -800/7*i + 0 - 80*i**2 - 88/7*i**3 - 4/7*i**4 = 0. Calculate i.
-10, -2, 0
Let o = -102 + 162. Find t such that -8*t**4 + o*t - 54*t**2 + 7*t**4 - 24 - 2*t**4 + 21*t**3 = 0.
1, 2
Let h(n) be the third derivative of -n**7/126 - 3*n**6/40 + n**5/9 + n**4/6 - 90*n**2 + 2. Factor h(a).
-a*(a - 1)*(a + 6)*(5*a + 2)/3
Let g be 1*3 - 0/7. Factor 20 + 5*i**4 + 65*i**2 - 14*i**3 - 60*i - 16*i**3 + 0*i**g.
5*(i - 2)**2*(i - 1)**2
Let m be 4 - -2*(0 + -1). Determine g, given that 10*g**2 - 3 + 5*g**2 - 12*g**m = 0.
-1, 1
Let i(r) be the third derivative of r**5/390 + 7*r**4/39 + 25*r**3/13 + r**2 + 162. Factor i(d).
2*(d + 3)*(d + 25)/13
Let t(r) be the second derivative of -r**7/630 - r**6/180 - r**5/180 + 5*r**2/2 + 5*r. Let y(p) be the first derivative of t(p). Find k, given that y(k) = 0.
-1, 0
Let c(w) be the second derivative of 0 + 8/3*w**2 + 1/45*w**6 - 1/6*w**4 - 10/9*w**3 + 13*w + 2/15*w**5. Factor c(s).
2*(s - 1)**2*(s + 2)*(s + 4)/3
Suppose 8*c + 10 = 66. Let l(a) be the second derivative of 0*a**3 - c*a + 0*a**2 + 1/4*a**4 + 0. Factor l(q).
3*q**2
Let g = -13 - -16. Suppose -g*p + 1 = -i - 4, i - 2 = -4*p. Factor -15*o - p + o**2 + 15*o.
(o - 1)*(o + 1)
Let k(z) be the first derivative of 7 + 2/45*z**3 + 1/15*z**2 + 0*z. Find n such that k(n) = 0.
-1, 0
Let g(c) be the second derivative of 0*c**2 - 1/60*c**3 - 6*c + 0 - 1/60*c**4 - 1/200*c**5. Factor g(u).
-u*(u + 1)**2/10
Find v such that 24576/5*v - 864*v**3 + 0 + 282/5*v**4 - 6/5*v**5 + 19968/5*v**2 = 0.
-1, 0, 16
Suppose 4*t + 4*t = -40. Let i be (-2)/(-3)*t/((-140)/24). Solve i - 22/7*l - 8/7*l**3 + 26/7*l**2 = 0 for l.
1/4, 1, 2
Factor -4*c**2 + 0*c**2 - 32 - 20 + 56*c.
-4*(c - 13)*(c - 1)
Factor 216/5 + 24/5*b + 2/15*b**2.
2*(b + 18)**2/15
Let h(c) be the first derivative of c**6/15 + 2*c**5/25 - 3*c**4/10 - 2*c**3/15 + 2*c**2/5 - 114. Suppose h(l) = 0. What is l?
-2, -1, 0, 1
Let p be (2480/15190)/(12/14). Factor 0*m**2 - 2/21*m**3 - p + 2/7*m.
-2*(m - 1)**2*(m + 2)/21
Let k = 689/12 + -337/6. Factor -3/4 - 1/4*r**2 + k*r - 1/4*r**3.
-(r - 1)**2*(r + 3)/4
Factor -l**2 - 1/2*l**3 + 0 - 1/2*l.
-l*(l + 1)**2/2
Let l(p) be the second derivative of p**4/3 + 2*p**3/3 - 84*p**2 - 429*p. Determine k, given that l(k) = 0.
-7, 6
Suppose -2*j - 5 = -9. Solve 16*t**2 - 6*t**3 + 2*t**3 + 13*t**j - 31*t**2 - 2*t**4 = 0.
-1, 0
Let k(g) = 7*g**3 - 5*g**2 + 5*g - 3. Let m(o) = -6*o**3 + o**2 + 1. Let s(x) = k(x) + m(x). Factor s(p).
(p - 2)*(p - 1)**2
Let i(d) be the first derivative of -d**5/12 + 5*d**4/12 + 5*d**2/2 - 1. Let r(n) be the second derivative of i(n). Solve r(j) = 0 for j.
0, 2
Suppose -7*g + 4*g = 18. Let v(h) = -h**2 - 4*h + 20. Let l be v(g). Factor -2*x**2 - 3*x + l*x**2 + 0*x - 3*x - 2*x**3 + 2.
-2*(x - 1)**3
Let u be 5 - ((-931)/(-21) + -1). Let w = 233/6 + u. Let 1/2 + w*t**2 + t = 0. What is t?
-1
Suppose 68*y + 684 = 125*y. Factor -y*w + 3/2*w**2 + 24.
3*(w - 4)**2/2
Let u = -23 + 2. Let s = u - -40. Factor -3*m**3 - s + 19.
-3*m**3
Let p = 446592677/341 - 1309658. Let m = -13/31 - p. Let -4/11 - 2*x - m*x**2 = 0. What is x?
-1, -2/9
Let g(l) = -81*l**2 - l**5 + 39*l**2 + 41*l**2. Let v(m) = -5*m**5 + m**4 + m**3 - 5*m**2. Let w = 10 + -7. Let x(j) = w*v(j) - 12*g(j). Factor x(q).
-3*q**2*(q - 1)**2*(q + 1)
Suppose 5*i - 2 = 3*i, 5*i = 5*g - 10. Find f such that 46*f**2 - 11*f + 8*f**g - 20*f**4 + 3*f - 26*f**2 = 0.
-1, 0, 2/5, 1
Let u(i) = -i + 3. Let j be u(-5). Factor 11*h - j - 31*h**2 - 2*h + 14*h**2 + 16*h**2.
-(h - 8)*(h - 1)
Let r be ((-264)/935)/((-6)/10). Factor -2/17*g**2 - 6/17 + r*g.
-2*(g - 3)*(g - 1)/17
Let y(j) be the second derivative of -j**4/66 + 40*j**3/11 - 3600*j**2/11 - 142*j + 1. Suppose y(r) = 0. What is r?
60
Let f be (-20)/(-48)*(-16)/(-8). Let y(i) be the second derivative of -f*i**4 + 5*i + 0 + 0*i**2 + 3/10*i**5 - 2/3*i**3. Determine l, given that y(l) = 0.
-1/3, 0, 2
Let x = 21 - 16. Let m = 6 + -2. Let 848*v**2 + 272*v + 125*v**x + 19 - 2 + 1160*v**3 + 19 - 4 + 650*v**m = 0. Calculate v.
-2, -2/5
Let p be ((-9)/15)/(2/(-10)). Let n be (2 - 36/14) + (-117)/(-21). Factor 3*v + 3*v**3 - 12*v**4 + 14*v**p + v**3 + 3*v**n - 12*v**2.
3*v*(v - 1)**4
Let u be (-369)/180*-1 + 1*-2. Let i(m) be the first derivative of -1/4*m**2 + 0*m + u*m**5 + 0*m**4 - 1/4*m**3 + 2. Factor i(n).
n*(n - 2)*(n + 1)**2/4
Let v(i) be the second derivative of i**4/54 - 314*i**3/27 + 24649*i**2/9 + 6*i + 8. Factor v(u).
2*(u - 157)**2/9
Let l(s) be the second derivative of -1/22*s**2 - 1/66*s**4 + 0 - 2/55*s**5 + 5/66*s**3 - 3*s. Suppose l(h) = 0. What is h?
-1, 1/4, 1/2
Factor 12/7*l**2 + 2*l - 2/7*l**3 + 0.
-2*l*(l - 7)*(l + 1)/7
Factor 3*r**5 + 139*r - 912*r**2 + 169*r + 393*r**3 + 5*r**4 + 268*r - 65*r**4.
3*r*(r - 8)**2*(r - 3)*(r - 1)
Let u be 3/12 + (-69)/(-12). Suppose 63 = u*h - 3*h. Factor 17*o**2 + 0 + 1 + 8 + h*o - 5*o**2.
3*(o + 1)*(4*o + 3)
Let b be ((-56)/6)/((-6)/9). Suppose -2*g - g + 21 = 5*k, g - b = -4*k. Find y such that 0*y**2 - 6*y**2 + k*y**2 + 3*y = 0.
0, 1
Let f be 1*5 - (-13)/(78/(-21)). Let d(h) be the first derivative of 3 + 4*h**3 - 36/5*h**5 + f*h**2 + 9/2*h**6 - 3/2*h**4 + 0*h. Find u such that d(u) = 0.
-1/3, 0, 1
Suppose 0 = 2*s - 4 - 2, 4*s = -b + 15. Solve -150*n**2 + 78*n**2 - b*n + 75*n**2 = 0.
0, 1
Let v(k) be the second derivative of 4*k**6/15 - 26*k**5/5 + 193*k**4/6 - 52*k**3 + 36*k**2 - 3*k + 1. Factor v(u).
2*(u - 6)**2*(2*u - 1)**2
Let l(w) be the second derivative of w**7/3780 + w**6/810 - w**5/540 - w**4/54 - 11*w**3/2 - 29*w. Let y(k) be the second derivative of l(k). Factor y(c).
2*(c - 1)*(c + 1)*(c + 2)/9
Let r(h) be the third derivative of 7*h**8/3600 - h**7/75 + h**6/25 + h**5/12 + 13*h**2. Let s(z) be the third derivative of r(z). Factor s(x).
4*(7*x - 6)**2/5
Let u(c) be the second derivative of 14*c + 0*c**2 + 3/4*c**5 - 2/3*c**6 + 0 + 0*c**3 + 0*c**4. Factor u(y).
-5*y**3*(4*y - 3)
Find h such that 1/5*h**2 - 6/5 + 1/5*h = 0.
-3, 2
Let 