k) be the third derivative of m(k). Factor u(v).
(v + 1)**2/5
Solve -8/11*o + 0 + 6/11*o**3 + 0*o**2 + 2/11*o**4 = 0.
-2, 0, 1
Let n(o) be the third derivative of -o**8/168 + 3*o**6/20 + 2*o**5/15 - o**4 + o**2 + 75*o. Let n(y) = 0. Calculate y.
-2, 0, 1, 3
Let z(y) = 4*y**2 + 18*y + 69. Let r(n) = -2*n**2 - 2*n - 1. Let d(s) = 10*r(s) + 2*z(s). Factor d(i).
-4*(i - 4)*(3*i + 8)
Let x(r) = 4*r**2 + r + 20. Let h be x(-7). Suppose h*f + 135*f**2 - 45*f**3 + 61*f - 12*f**4 - 23*f**4 - 5*f**5 = 0. What is f?
-3, 0, 2
Let j(i) be the second derivative of i**5/40 - 35*i**4/24 - 73*i**3/12 - 37*i**2/4 + 218*i. Factor j(x).
(x - 37)*(x + 1)**2/2
Let v(y) be the third derivative of y**7/105 - y**6/15 - 11*y**5/30 - y**4/2 + 2*y**2 + 46*y. Factor v(g).
2*g*(g - 6)*(g + 1)**2
Let d be (-2 + -3)/(-9 + 6 + 2). Let o(l) be the first derivative of -1/34*l**4 + d + 0*l**3 + 3/17*l**2 + 4/17*l. Solve o(q) = 0.
-1, 2
Suppose 5*g - 4*t = -10, -5*g - t + 13 + 2 = 0. Let p(i) be the first derivative of -g*i**3 + 3*i**3 + i - 4*i - 4. Factor p(n).
3*(n - 1)*(n + 1)
Let r = 10 - 8. Factor 20*w - 7*w**r + 100 + 10*w**2 - 2*w**2.
(w + 10)**2
Suppose -18*h = -10*h - 22 + 22. Factor -4/5*i**2 + h - 2/5*i**4 + 6/5*i**3 + 0*i.
-2*i**2*(i - 2)*(i - 1)/5
Suppose -18*t + 29/2*t**3 - 4 + 9/2*t**4 + 3*t**2 = 0. Calculate t.
-2, -2/9, 1
Let o be (14 + -10)*1*(-1 + 0). Let a be 1/o + (-15)/(-15). Factor -3/4*r**2 - 3/4*r + a*r**3 + 3/4.
3*(r - 1)**2*(r + 1)/4
Suppose -2*v + 3*s = -22, 0 = -4*v - s - 3 + 5. Suppose -2/15*t**v + 2/15 + 0*t = 0. What is t?
-1, 1
Let d be 1/(-120)*10/(-25). Let n(s) be the third derivative of d*s**6 + 0*s**3 + 0*s - s**2 + 0 - 1/840*s**8 + 0*s**4 + 1/525*s**7 - 1/150*s**5. Factor n(r).
-2*r**2*(r - 1)**2*(r + 1)/5
Let x = 37 + -34. Suppose 4*k + 2*c - 6 = -k, -14 = -4*k + x*c. Factor 1/3*t + 7/6*t**k + 0.
t*(7*t + 2)/6
Let f(t) be the second derivative of -t**4/132 - 5*t**3/66 + 3*t**2/11 + 3*t + 5. Factor f(h).
-(h - 1)*(h + 6)/11
Let n(h) = -3*h - 2. Let b be n(-2). Suppose 4*z + c - 8 = 0, -z = 3*z + b*c + 4. Determine q so that 0*q - q**z + 2*q - 2 - 2*q**2 + 4 - q**3 = 0.
-1, 1
Let r(c) = 3*c**2 + 2*c - 5. Let a(q) = -3*q - 2*q - 1 + 6*q. Suppose -4 = 19*b - 23*b. Let o(z) = b*a(z) + r(z). Factor o(h).
3*(h - 1)*(h + 2)
Let g = -77 + 82. Let j(m) be the first derivative of -4*m**3/3 - 2*m**2 - m - 6. Let b(v) = -7*v**2 - 7*v - 1. Let r(p) = g*j(p) - 3*b(p). Factor r(w).
(w - 1)*(w + 2)
Let x(i) be the first derivative of -3/10*i**3 + 0*i + 1/4*i**2 + 1/50*i**5 + 3/40*i**4 - 15. Suppose x(j) = 0. Calculate j.
-5, 0, 1
Let z(u) be the second derivative of 5*u**4/12 - 95*u**3/6 + 316*u. Let z(a) = 0. Calculate a.
0, 19
Let f(i) be the first derivative of -i**3/18 + 2*i**2 + 26*i/3 - 829. Solve f(s) = 0.
-2, 26
Let q(d) be the second derivative of -d**4/12 + d**3/6 + d**2/2 + 24*d. Let u(p) = -2*p**3 + 5*p**2 + 5*p - 5. Let a(h) = -6*q(h) + 2*u(h). Factor a(z).
-4*(z - 4)*(z - 1)*(z + 1)
Let o = 14305/6 - 2383. Determine d, given that -o*d - 1/6 - 4/3*d**4 - 3*d**2 - 10/3*d**3 = 0.
-1, -1/2
Let m(r) be the third derivative of -r**8/10080 - r**7/840 - r**6/180 - r**5/4 + r**2. Let g(o) be the third derivative of m(o). Solve g(b) = 0.
-2, -1
Factor -169/6 - 1/6*c**4 + 4*c**3 - 59/3*c**2 - 52*c.
-(c - 13)**2*(c + 1)**2/6
Let b = -23324 - -23326. Determine t, given that 12*t - 2/3*t**b - 54 = 0.
9
Suppose 251 = 16*y - 181. Let u = 512 - 2019/4. Factor -5/8*j**4 - y*j**2 + 16 + 28*j + u*j**3.
-(j - 4)**3*(5*j + 2)/8
Suppose -16925*i - 36 = -16943*i. Determine h, given that 6*h - 3/2*h**5 - 9/2*h**3 + 0 + 6*h**4 - 6*h**i = 0.
-1, 0, 1, 2
Let b(u) be the second derivative of 1/54*u**4 + 0*u**2 - 7*u + 2/27*u**3 + 0. Find d, given that b(d) = 0.
-2, 0
Let r(a) be the second derivative of -1/22*a**4 - 4/11*a**3 + 0 - 4/11*a**2 + 1/22*a**5 - 23*a. Factor r(q).
2*(q - 2)*(q + 1)*(5*q + 2)/11
Let z(s) be the second derivative of s**7/42 - 4*s**5/5 - 19*s**4/6 - 11*s**3/2 - 5*s**2 - 11*s. Factor z(l).
(l - 5)*(l + 1)**3*(l + 2)
Let u = -87/19 + 454/95. Let 0*l + 0 + 0*l**2 - u*l**5 - 1/5*l**3 + 2/5*l**4 = 0. Calculate l.
0, 1
Let w(s) be the first derivative of 49*s**6/36 - 126*s**5/5 + 263*s**4/3 - 160*s**3/3 - 284*s**2/3 - 32*s + 13. Solve w(r) = 0 for r.
-2/7, 2, 12
Factor -760*a + 118*a**2 + 710*a - 7*a**3 + 38*a**2 + 3*a**3 + 374*a + 164.
-4*(a - 41)*(a + 1)**2
Let t(c) be the first derivative of -65/12*c**4 + 7*c**5 - 5*c**3 + 0*c**2 + 12*c - 6. Let q(x) be the first derivative of t(x). Factor q(p).
5*p*(4*p - 3)*(7*p + 2)
Let l(x) be the first derivative of -32*x**2 - 8 - 256*x - 4/3*x**3. Solve l(q) = 0.
-8
Suppose 8*z + 53 = 4*m + 3*z, 4*m - 3*z - 43 = 0. Suppose 0 - 9 = -3*q. Factor -m*y**3 + 6*y**4 - q*y - 3*y**4 - 2*y**3 + 0*y**2 + 9*y**2.
3*y*(y - 1)**3
Let f(x) = 11*x**2 + 139*x - 4. Let a(c) = -42*c**2 - 555*c + 18. Let t(n) = 2*a(n) + 9*f(n). Factor t(z).
3*z*(5*z + 47)
Let c(a) be the second derivative of -a**5/10 - 7*a**4/6 - 11*a**3/3 - 5*a**2 - 106*a. Solve c(u) = 0.
-5, -1
Let w = 16/265 - -482/795. Find j, given that -2/3*j - 4/3 + w*j**2 = 0.
-1, 2
Let x(q) be the third derivative of 1/60*q**6 - 5 + 0*q**7 - 3*q**2 + 0*q**4 + 0*q - 1/504*q**8 + 1/45*q**5 + 0*q**3. Factor x(j).
-2*j**2*(j - 2)*(j + 1)**2/3
Solve 4/3*g**3 + 20/3*g - 8/3 - 16/3*g**2 = 0.
1, 2
Let n(q) be the third derivative of 57*q**2 + 1/340*q**6 + 0*q**4 + 0*q**3 + 1/2856*q**8 + 1/510*q**5 + 1/595*q**7 + 0*q + 0. Solve n(d) = 0.
-1, 0
Find g such that 328/3 + 108*g - 4/3*g**2 = 0.
-1, 82
Let f = 913/7 - 1805/14. Determine x so that 21/2*x**2 + 39/2*x**3 + 9*x**4 - 3/2 - f*x = 0.
-1, -1/2, 1/3
Let j(x) = -x + 32. Let q be j(16). Let r be (-8)/(-3) - q/24. Factor 6*g + 0*g - 2*g**r - 4*g.
-2*g*(g - 1)
Let n be (2/(-24) - (-11)/33)/(21/28). Factor 0*a + 0 - 4/3*a**2 - n*a**3.
-a**2*(a + 4)/3
Let s(f) be the first derivative of f**6/540 + f**5/180 - 4*f**3/3 - 21. Let z(o) be the third derivative of s(o). Suppose z(t) = 0. What is t?
-1, 0
Let f(k) be the first derivative of 0*k**2 - 1/6*k**4 - 1/27*k**6 + 2/15*k**5 + 2/27*k**3 - 22 + 0*k. Solve f(t) = 0 for t.
0, 1
Let g(q) be the second derivative of -2*q + 11/2*q**3 + q**4 + 0 - 9/2*q**2. Let g(x) = 0. Calculate x.
-3, 1/4
Let n(q) be the third derivative of -q**7/735 + q**6/60 - q**5/42 - q**4/12 + 2*q**3/7 + 63*q**2. Find l such that n(l) = 0.
-1, 1, 6
Let y(x) = -200*x**3 - 4290*x**2 - 4135*x - 45. Let s(r) = 9*r**3 + 195*r**2 + 188*r + 2. Let g(h) = -45*s(h) - 2*y(h). Factor g(p).
-5*p*(p + 1)*(p + 38)
Let k(m) be the first derivative of m**4/36 - 2*m**3/27 - 2*m**2/9 + 8*m/9 - 1. Let k(f) = 0. Calculate f.
-2, 2
Suppose -32 = -4*a - 4*w, 2*w + 4 = 5*a - 2*a. Let m(u) be the first derivative of 2 - 2/45*u**5 - 2/9*u**2 + 0*u + 2/9*u**3 + 0*u**a. Factor m(n).
-2*n*(n - 1)**2*(n + 2)/9
Let x(t) be the second derivative of -4*t**6/45 + t**5/30 + 5*t**4/18 - 30*t. Solve x(s) = 0 for s.
-1, 0, 5/4
Let k(r) be the first derivative of r**4/2 + 72*r**3 + 3888*r**2 + 93312*r - 80. Factor k(q).
2*(q + 36)**3
Let v(i) be the third derivative of i**8/420 - i**6/18 + 2*i**4/3 - 5*i**3/6 + 3*i**2. Let y(l) be the first derivative of v(l). Let y(p) = 0. Calculate p.
-2, -1, 1, 2
Let q(z) be the second derivative of -z**7/14 + 2*z**6/5 + 6*z**5/5 - 5*z**4/2 - 23*z**3/2 - 15*z**2 + 10*z - 25. Let q(u) = 0. Calculate u.
-1, 2, 5
Let g = 35/8 + -97/24. What is o in -1/3*o + 1/3*o**4 + g*o**3 - 1/3*o**2 + 0 = 0?
-1, 0, 1
Let m(v) = 3*v**4 - 11*v**3 + 22*v**2 + 64*v - 72. Let l(z) = -13*z**4 + 44*z**3 - 88*z**2 - 258*z + 288. Let g(i) = -2*l(i) - 9*m(i). Factor g(y).
-(y - 6)**2*(y - 1)*(y + 2)
Suppose 0 = 10*t - 12*t - 3*v + 19, 0 = 4*v - 12. Let l be 216/90*(0 + t). Factor l + 4/3*x**2 + 8*x.
4*(x + 3)**2/3
Factor 6/5*a**3 + 0*a + 1/5*a**4 + 0 + 9/5*a**2.
a**2*(a + 3)**2/5
Let p(k) be the third derivative of -3*k**2 + 1/108*k**4 + 1/270*k**5 + 0 + 0*k + 0*k**3. Factor p(r).
2*r*(r + 1)/9
Factor 12*m + 0 - 2/11*m**2.
-2*m*(m - 66)/11
Let s = -3 + 6. Suppose 0*n = -s*n + 12. Let 0*r**4 + 3*r**n + 15*r**5 - 12*r**5 = 0. Calculate r.
-1, 0
Factor 0 + 9*n**3 + 3*n**2 - 720*n**5 + 0 + 723*n**5 + 9*n**4.
3*n**2*(n + 1)**3
Let f(r) be the first derivative of -1/25*r**4 + 0*r + 41 + 2/75*r**3 + 2/25*r**2 - 2/125*r**5. Suppose f(d) = 0. What