/72 - u**5/20 + 7*u**4/72 - u**3/9 + u**2 + 12. Let k(i) be the second derivative of c(i). Factor k(p).
-(p - 2)*(p - 1)**3/3
Let a(y) be the first derivative of -10*y**4/69 + 11*y**3/69 + 4*y**2/23 + 18*y + 8. Let d(s) be the first derivative of a(s). Factor d(z).
-2*(4*z + 1)*(5*z - 4)/23
Let q(n) be the second derivative of -n**7/63 - n**6 - 25*n**5 - 2795*n**4/9 - 5915*n**3/3 - 6591*n**2 + 161*n. Factor q(h).
-2*(h + 3)**2*(h + 13)**3/3
Let k(b) be the second derivative of 2*b**6/3 - 15*b**5/4 - 10*b**4/3 + 25*b**3/2 + 10*b**2 + 4*b - 4. Suppose k(c) = 0. What is c?
-1, -1/4, 1, 4
Let z(x) be the second derivative of 6*x + 0 + 1/24*x**3 - 1/16*x**4 + 1/40*x**5 + 0*x**2. Let z(q) = 0. What is q?
0, 1/2, 1
Let r(w) be the third derivative of 0 + 1/96*w**4 - 1/240*w**5 + 1/24*w**3 - 6*w**2 - 1/480*w**6 + 0*w. Factor r(g).
-(g - 1)*(g + 1)**2/4
Let d(t) be the first derivative of -t**6/24 - 9*t**5/10 + 5*t**4/2 - t**3/6 - 39*t**2/8 + 5*t - 83. Factor d(c).
-(c - 1)**3*(c + 1)*(c + 20)/4
Let n = 11/2 - -1. Let s = n - 19/3. Factor 1/3*m**2 + 0 - s*m**3 - 1/6*m.
-m*(m - 1)**2/6
Factor -796*v - 30*v**2 - 789*v + 1605*v - 5 - 5*v**4 + 20*v**3.
-5*(v - 1)**4
Let n(h) be the second derivative of -7/4*h**5 + 5/6*h**4 + 0*h**3 + 0 + 0*h**2 - 9*h. What is w in n(w) = 0?
0, 2/7
Let r(u) be the third derivative of -1/6*u**4 + 0*u + 0*u**3 - 7/40*u**6 + 2/5*u**5 - 7/30*u**7 + 0 + 25*u**2. Factor r(k).
-k*(k + 1)*(7*k - 2)**2
Let r(z) be the second derivative of 0 - 4*z**2 + 7*z + 17/3*z**3 + 3/4*z**4. Find y such that r(y) = 0.
-4, 2/9
Factor 15/8*g + 1/8*g**3 - 9/8*g**2 + 25/8.
(g - 5)**2*(g + 1)/8
Factor -54*v + 2*v**4 + 164*v**2 + 74*v - 68*v - 94*v**2 - 24*v**3.
2*v*(v - 8)*(v - 3)*(v - 1)
Let k(a) = -14 - 3*a - 2*a - 13*a**4 + 19 + 0*a. Let l(m) = -32*m**4 - 12*m + 12. Let c(t) = -12*k(t) + 5*l(t). Suppose c(y) = 0. Calculate y.
0
Let x(h) be the second derivative of h**6/120 + h**5/18 - h**4/9 + 2*h**2 + 11*h. Let z(f) be the first derivative of x(f). Find t such that z(t) = 0.
-4, 0, 2/3
Suppose -6*j + 18 = -6. Solve 53*g**2 + 4 + 0*g**4 + 24*g + 0*g**4 + 5*g**5 + 55*g**3 + 27*g**j = 0.
-2, -1, -2/5
Determine m, given that -5/2*m**3 - 60*m - 125/2*m**2 + 0 = 0.
-24, -1, 0
Let v(k) be the first derivative of k**4 + 40*k**3 + 450*k**2 + 276. Suppose v(c) = 0. What is c?
-15, 0
Let v(b) = b**3 - b**2 + 4*b + 3. Let a be v(0). Let -3/2*f**a + 9/2*f + 0 - 3*f**2 = 0. What is f?
-3, 0, 1
Let o = -3562/11 - -32080/99. Solve o*z**2 + 0*z**3 + 0 + 0*z - 2/9*z**4 = 0.
-1, 0, 1
Let i = 17 + -14. Suppose -30 = -i*f - 4*s, f - 4*s = -f. Factor -45*w**3 - 1 + f*w + 3*w - 5 + 42*w**3.
-3*(w - 1)**2*(w + 2)
Let s(n) be the third derivative of -n**6/20 + 2*n**5/15 + 5*n**4/12 - 2*n**3/3 + 4*n**2 + 2. Suppose s(j) = 0. What is j?
-1, 1/3, 2
Let i(c) be the third derivative of -c**6/12 - 19*c**5/10 - 65*c**4/4 - 175*c**3/3 - 14*c**2 + 4*c. Suppose i(z) = 0. What is z?
-5, -7/5
Let o(g) = g**3 + 2*g**2 - 2*g + 2. Let w be o(0). Suppose 4*a - 3*a + 8 = -5*p, w*a = -p + 2. Solve -3/4*y + 1/2 + 1/4*y**a = 0.
1, 2
Let h(x) be the second derivative of -1/180*x**6 + x + 0*x**2 + 0*x**3 + 1/120*x**5 + 0*x**4 + 0. Factor h(u).
-u**3*(u - 1)/6
Suppose 3*p + 4*o - 18 = 0, 4*p = 6*p + 2*o - 10. Let p*f**5 - 7*f**4 + f**4 + 611*f**2 - 6*f - 607*f**2 + 2 + 4*f**3 = 0. Calculate f.
-1, 1
Let s(w) = -w**2 - 1. Let d(j) = -j**3 - 3*j**2 + 3*j - 5. Let g be (0 + (13 - -2))/1. Let z(p) = g*s(p) - 5*d(p). Suppose z(c) = 0. Calculate c.
-2, 1
Let c be 32/(-10)*5/(-3). Suppose -2*s**5 - 2*s**3 - c*s**4 + 0*s + 4/3*s**2 + 0 = 0. Calculate s.
-2, -1, 0, 1/3
Let o(i) be the first derivative of 4*i**3/21 - 32*i**2/7 + 16*i + 122. Find s, given that o(s) = 0.
2, 14
Suppose 407*u - 741 = -209 + 282. Factor -10 + 5/3*l + 5/3*l**3 + 20/3*l**u.
5*(l - 1)*(l + 2)*(l + 3)/3
Let 4*k**5 + 36/5*k**2 + 8/5*k + 0 - 36/5*k**4 - 28/5*k**3 = 0. What is k?
-1, -1/5, 0, 1, 2
Let 0 + 0*y - 2/7*y**3 + 2/7*y**5 - 6/7*y**2 + 6/7*y**4 = 0. Calculate y.
-3, -1, 0, 1
Suppose 2*o = -3*o + 5. Let z(n) = -8*n**4 - 4*n**3 + 12*n**2 - 4. Let w(b) = -b**4 + b + 1. Let y(s) = o*z(s) + 4*w(s). Factor y(g).
-4*g*(g - 1)*(g + 1)*(3*g + 1)
Solve 2/5*s**2 + 0*s - 2/5*s**3 + 0 = 0.
0, 1
Let x(l) be the second derivative of 5*l**2 - 9*l + 1/60*l**5 + 0 + 1/6*l**3 + 1/12*l**4. Let n(p) be the first derivative of x(p). Factor n(u).
(u + 1)**2
Let 100 - 4*w**5 - 513*w - 13356*w**2 - 107*w - 586*w**3 + 14377*w**2 + 89*w**4 = 0. What is w?
1/4, 1, 10
Factor 130*z**2 + 3*z**3 + 30*z + 17*z**3 + 155*z**2 - 230*z**2.
5*z*(z + 2)*(4*z + 3)
Let y(r) be the second derivative of -r**7/126 - r**6/90 + 3*r**5/20 - 11*r**4/36 + 2*r**3/9 - 3*r - 5. Factor y(g).
-g*(g - 1)**3*(g + 4)/3
Factor 3*d - d**2 - 14*d - 12554 + 12566.
-(d - 1)*(d + 12)
Let n be ((-1)/2)/(2416/(-128) - -18). Solve 16/7*o + 20/7 - n*o**2 = 0.
-1, 5
Let -3/5 - f**4 - 14/5*f - 24/5*f**2 - 18/5*f**3 = 0. What is f?
-1, -3/5
Suppose 6*n = -183 - 9. Let a be (2/(-4))/(264/n - -8). Solve 0*f + 3/7*f**a + 0 = 0.
0
Let b be ((-2)/(-2))/(35/(-2800)*-90). Solve 20/3*k**4 - 20/3*k**2 - b*k + 0 + 8/9*k**3 = 0 for k.
-1, -2/15, 0, 1
Factor 7 + 3 + 30*j + 30 - 2*j**3 - 22*j - 10*j**2.
-2*(j - 2)*(j + 2)*(j + 5)
Factor -10*j**3 - 12*j**2 - 9*j**3 - 6*j**3 + 29*j**3 + 0*j**2.
4*j**2*(j - 3)
Let l be (162/66 + -3)*(6 + 0). Let n = l - -155/44. Let -n*p**5 + 0 + 1/4*p**2 - 3/4*p**3 + 3/4*p**4 + 0*p = 0. Calculate p.
0, 1
Let 4/3*q + 0*q**2 - 4/3*q**3 + 0 = 0. Calculate q.
-1, 0, 1
Let 0 - 3/2*p**4 + 16*p**3 - 30*p**2 - 1/2*p**5 + 16*p = 0. What is p?
-8, 0, 1, 2
Let p = -6935/3 - -2351. Let d = p - 39. Factor d*l + 0 + 0*l**2 - 1/3*l**3.
-l*(l - 1)*(l + 1)/3
Let f be (0 - -5)*(102/5 + -20). Factor 3/2*y**f - 9/2*y + 3.
3*(y - 2)*(y - 1)/2
Let g(z) be the second derivative of z**7/315 + z**6/36 + z**5/30 - z**4/4 - 3*z**2/2 - 5*z. Let t(a) be the first derivative of g(a). Factor t(r).
2*r*(r - 1)*(r + 3)**2/3
Let v = -1832 - -1834. Determine p so that 6/7*p - 9/7 + 3/7*p**v = 0.
-3, 1
Let x be (16/6)/((-8)/12) + 6. Factor 54*v**x + 111*v**3 - 119 - 33*v**3 + 6*v**5 - 3*v**5 + 27*v**4 + 38 - 81*v.
3*(v - 1)*(v + 1)*(v + 3)**3
Let b be (18 - 13) + (-2 - -1). Suppose 0 = -b*w + 18 - 10. Factor -4/7*c + 2/7 + 2/7*c**w.
2*(c - 1)**2/7
Let g(n) be the first derivative of 6*n**6 + 116*n**5/5 + 24*n**4 + 16*n**3/3 - 29. Suppose g(k) = 0. What is k?
-2, -1, -2/9, 0
Let m(o) be the third derivative of o**2 + 1/180*o**6 + 0*o**3 + 0 + 0*o**5 + 0*o**4 + 0*o - 1/315*o**7. Find v, given that m(v) = 0.
0, 1
Let j be -2*8*1/(-1). Let r = -183 + 185. Factor 175*v + 145*v - 192 - 71*v**2 - 3*v**4 - 109*v**r + 39*v**3 + j*v.
-3*(v - 4)**3*(v - 1)
Let v(b) be the third derivative of b**6/480 - b**4/96 + 73*b**2. Factor v(l).
l*(l - 1)*(l + 1)/4
Let o(l) be the second derivative of -l**9/4536 + l**8/840 - l**7/630 + 7*l**3/6 - 10*l. Let m(c) be the second derivative of o(c). Find d such that m(d) = 0.
0, 1, 2
Let l = -17519/30 + 4447/6. Let x = -157 + l. Find u such that x*u**3 + 0 + 0*u - 2/5*u**2 = 0.
0, 2
Let s(g) = -4*g - 130. Let m be s(-32). Let a be -2*m/(-10) - (-464)/560. Factor 0 + 0*d - a*d**4 + 0*d**2 + 3/7*d**3.
-3*d**3*(d - 1)/7
Let b(y) be the second derivative of y**3/6 - y**2 + 6*y. Let r be b(4). Factor 12*v**3 + 4*v**4 + 4*v - 110 + 12*v**r + 110.
4*v*(v + 1)**3
Let f = 2282 - 2275. Let q(a) be the second derivative of 7*a + 3/40*a**5 + 0 + 0*a**4 + 0*a**3 + 0*a**2 - 1/10*a**6 + 1/28*a**f. Find i such that q(i) = 0.
0, 1
Let o be 2/((-44)/(-10) + -4). Let p(d) = 6*d**4 - 28*d**2 - 10. Let r(q) = -2*q**4 + 9*q**2 + 3. Let b(k) = o*p(k) + 16*r(k). What is h in b(h) = 0?
-1, 1
Let m = 5 - 2. Let x = -1760 + 5281/3. Factor x*k**2 - 1/3 - 1/3*k**m + 1/3*k.
-(k - 1)**2*(k + 1)/3
Factor -55/8*x**2 - 27/8 + 69/8*x + 1/4*x**4 + 11/8*x**3.
(x - 1)**2*(x + 9)*(2*x - 3)/8
Let m(r) be the first derivative of -r**7/70 + 2*r**6/45 + r**5/6 - r**4/3 - 14*r**3/3 - 11. Let b(w) be the third derivative of m(w). Factor b(j).
-4*(j - 2)*(j + 1)*(3*j - 1)
Let j(g) be the first derivative of -4*g**3/3 - 4*g**2 + 60*g - 72. Factor j(z).
-4*(z - 3)*(z + 5)
Factor 114 - 5 - 897*g - 4*g**2 + 462*g.
-(g + 109)*(4*g - 1)
Let j(o) be the third derivative of o**8/168 - o**7/35 + o**6/60 + o**5/10 - o**4/6 + 48*o**2. Su