 of -3*m**5/20 - 25*m**4/16 - 3*m**3/4 - 3*m + 125. What is n in i(n) = 0?
-6, -1/4, 0
Let y(x) be the first derivative of x**5 - 15*x**4 + 80*x**3 - 200*x**2 + 240*x + 413. Factor y(h).
5*(h - 6)*(h - 2)**3
Let p(a) be the second derivative of -a**4/60 + a**3/10 + 9*a**2/5 - 27*a. Factor p(d).
-(d - 6)*(d + 3)/5
Suppose -5*s + 6*s = -2*w + 332, -3*w = 3. Suppose 329*l + 15 = s*l. Let -2/7*u**2 + 1/7*u + 2/7 - 1/7*u**l = 0. Calculate u.
-2, -1, 1
Let k(c) be the second derivative of c**4/84 - c**3/6 + 6*c**2/7 - 375*c. Solve k(d) = 0 for d.
3, 4
Let n = 235 - 235. Let q(u) be the second derivative of 1/14*u**3 + n - 1/28*u**4 + 3/7*u**2 - 8*u. Determine k so that q(k) = 0.
-1, 2
Let t(x) = -15*x**3 + 66*x**2 + 76*x - 352. Let p(m) = 65*m**3 - 285*m**2 - 330*m + 1525. Let r(f) = 8*p(f) + 35*t(f). Factor r(o).
-5*(o - 6)*(o - 2)*(o + 2)
Suppose 0 = -3*v + 12, 20 = a + 2*a + 5*v. Let t(o) be the first derivative of a*o**2 + 5 - 1/2*o**4 - 8*o + 2*o**3. What is c in t(c) = 0?
-1, 2
Suppose a = 8*a - 49. Let l(r) be the second derivative of 1/21*r**a + 0*r**6 + 0*r**2 - 1/10*r**5 + 0*r**4 + 0 + 0*r**3 + r. Factor l(j).
2*j**3*(j - 1)*(j + 1)
Let -1536*p + 2016 + 3/7*p**4 + 153/7*p**3 + 1530/7*p**2 = 0. Calculate p.
-28, 2, 3
Let f(d) be the first derivative of 7*d**6/40 - 11*d**5/30 - d**4/24 + d**3/3 - 3*d**2 + 1. Let z(y) be the second derivative of f(y). Factor z(u).
(u - 1)*(3*u - 1)*(7*u + 2)
Suppose 5*t + d + 7 = 23, 0 = 4*t - 3*d - 9. What is w in 11/2*w**t - 1/4 + 3/4*w**5 - 13/4*w**4 - 9/2*w**2 + 7/4*w = 0?
1/3, 1
Let r(g) be the third derivative of -g**5/15 - 9*g**4/2 + 116*g**3/3 + 2*g**2 + 41. Factor r(c).
-4*(c - 2)*(c + 29)
Let l(w) be the second derivative of -1/48*w**4 + 0 - 1/8*w**2 + 14*w - 1/12*w**3. Factor l(j).
-(j + 1)**2/4
Let y = -286 - -290. Let o(r) be the first derivative of -2 - 4*r**2 + 0*r + 4/5*r**5 - 4*r**3 + 0*r**y. Factor o(g).
4*g*(g - 2)*(g + 1)**2
Let f = 1944556625/436761 - -45/48529. Let y = f + -4446. Let -8/9*d + y*d**2 + 0 - 122/9*d**3 - 2*d**5 + 28/3*d**4 = 0. Calculate d.
0, 1/3, 2
Let t be 102/561 - 1/11*-163. Solve 3*k**2 + 10 + 2*k**3 - t*k + 10*k**3 - 9*k**3 - 1 = 0 for k.
-3, 1
Let v(r) be the third derivative of -361*r**5/12 + 665*r**4/6 - 490*r**3/3 + 46*r**2 - 1. Let v(n) = 0. Calculate n.
14/19
Let v(f) be the first derivative of -f**8/1344 - f**7/672 + f**6/144 + 46*f**3/3 + 22. Let w(p) be the third derivative of v(p). Factor w(k).
-5*k**2*(k - 1)*(k + 2)/4
Let a(f) be the second derivative of 20/39*f**3 + 4/13*f**2 + 0 - 2/13*f**5 + 7/26*f**4 - 6*f - 5/39*f**6. What is k in a(k) = 0?
-1, -2/5, 1
Let d(u) be the second derivative of -u**7/5040 + u**5/720 - 7*u**3/6 + 7*u. Let w(x) be the second derivative of d(x). Factor w(r).
-r*(r - 1)*(r + 1)/6
Let h be 82/6 + 1/3. Let s be -2 + (-7)/(h/(-60)). Factor 16*g**3 + 10*g**3 - s*g**3 - 2*g**4 + 3*g**4 + 2*g - 1.
(g - 1)**3*(g + 1)
Let r(o) = 35*o + 10. Let w be r(-2). Let y be -4 - ((-5)/10 + 242/w). Factor 8/15*b**2 - 2/15*b + y*b**4 - 2/15*b**5 + 0 - 4/5*b**3.
-2*b*(b - 1)**4/15
Let y(f) be the second derivative of -1/150*f**5 + 0*f**3 + 1/30*f**4 - 4*f + 0 + 7/2*f**2. Let b(j) be the first derivative of y(j). Solve b(z) = 0 for z.
0, 2
Let y(a) be the third derivative of -3*a**5/20 - a**4/4 + a**3/2 + a**2 + 394*a. Solve y(w) = 0 for w.
-1, 1/3
Factor 11/2*j**2 + 26 - 1/4*j**3 + 25*j.
-(j - 26)*(j + 2)**2/4
Suppose 0 = -3*g - a + 7, 2 + 3 = 4*g - 3*a. Suppose -g*v = -v - 2. Let -1/5*s**v - 4/5 - 4/5*s = 0. Calculate s.
-2
Let d = -6667/2 + 3334. Factor -d*v**2 + 2 - 3/2*v.
-(v - 1)*(v + 4)/2
Determine r so that 74/7*r**4 - 130/7*r**3 + 4*r**2 - 8/7*r**5 + 0 + 0*r = 0.
0, 1/4, 2, 7
Let f(q) be the second derivative of q**4/12 - q**3/2 + 3*q**2 - 9*q. Let m be f(5). Solve -27*b**2 - 37*b - 28 + b + m = 0 for b.
-2/3
Let a be 5*(-3 + 4)/(210/4). Let j(c) be the first derivative of -3 + 2/7*c**2 - a*c**3 - 2/7*c. Let j(d) = 0. Calculate d.
1
Factor 2/7*q**2 + 2*q + 12/7.
2*(q + 1)*(q + 6)/7
Suppose t**3 + 0*t - 1/4*t**4 - t**2 + 0 = 0. Calculate t.
0, 2
Let a(z) be the third derivative of z**7/11340 + z**6/3240 - z**5/270 + 11*z**4/24 - 9*z**2. Let x(w) be the second derivative of a(w). Factor x(j).
2*(j - 1)*(j + 2)/9
Let j(f) be the first derivative of 2*f**5/75 + f**4/5 - 2*f**3/15 - 16*f**2/15 + 8*f/5 - 80. Determine r so that j(r) = 0.
-6, -2, 1
Let o = -10504 - -10510. Determine s so that 27/4*s - 3/4*s**2 - o = 0.
1, 8
Let h(y) = -y**3 - 19*y**2 - 93*y - 151. Let j(d) = 3*d**3 + 58*d**2 + 280*d + 455. Let i(c) = 21*h(c) + 6*j(c). Factor i(r).
-3*(r + 3)*(r + 7)**2
Let d(l) = 3*l + 5. Let i be d(3). Factor -i*s - 5 + 11 - 2*s**2 - 2*s**3 + 12*s**2.
-2*(s - 3)*(s - 1)**2
Let j(i) = -i**2 - 59*i - 165. Let d be j(-56). Factor 4/9*z**2 + 0*z - 2/9*z**4 + 0 + 2/9*z**d.
-2*z**2*(z - 2)*(z + 1)/9
Let z(d) be the second derivative of -1/45*d**5 + 1/135*d**6 + 4*d + 0*d**2 + 2/27*d**3 + 0 - 1/54*d**4. Factor z(a).
2*a*(a - 2)*(a - 1)*(a + 1)/9
Suppose -36*s - 1 = -73. Factor 0 + 0*d**3 + 1/3*d - 1/3*d**5 + 2/3*d**4 - 2/3*d**s.
-d*(d - 1)**3*(d + 1)/3
Let c(v) = v**3 - 24*v**2 - 30*v + 127. Let r be c(25). Factor 18*l**r - 108/5*l + 24/5 + 15*l**3.
3*(l + 2)*(5*l - 2)**2/5
Let b = -1783/60 - -121/4. Determine q, given that 0*q - 2/15*q**2 + b = 0.
-2, 2
Factor -32/11*a - 1/11*a**2 + 68/11.
-(a - 2)*(a + 34)/11
Let w(h) = 2*h**2 + 18*h - 102. Let c be w(-13). Let l(o) be the first derivative of -4 + o**3 - 5/2*o**c + o - 4/5*o**5 + 5/4*o**4. Solve l(j) = 0 for j.
-1, 1/4, 1
Let n(f) be the second derivative of 0*f**2 + 0 + 14*f + 1/3*f**3 - 1/6*f**4. Suppose n(i) = 0. Calculate i.
0, 1
Let -2/7*g**4 + 80/7*g - 66/7*g**2 - 32/7 + 20/7*g**3 = 0. What is g?
1, 4
Let o(g) be the first derivative of 12 - 3/38*g**4 - 4/95*g**5 + 0*g + 0*g**3 + 1/19*g**2. Find v such that o(v) = 0.
-1, 0, 1/2
Let v(q) be the second derivative of 0 + 1/3*q**4 + 0*q**2 - 1/30*q**6 + 46*q + 3/20*q**5 + 0*q**3. Determine p so that v(p) = 0.
-1, 0, 4
Let q(s) be the third derivative of -s**8/3360 + s**7/504 + s**6/180 + s**5/6 - 16*s**2. Let n(o) be the third derivative of q(o). Factor n(c).
-2*(c - 2)*(3*c + 1)
Let y(r) be the third derivative of 1/2*r**3 + 0 - 3/80*r**5 + 0*r**4 + 0*r - 41*r**2 - 1/160*r**6. Factor y(t).
-3*(t - 1)*(t + 2)**2/4
Solve 270 - 344*x**2 - 140*x**4 + 440*x**3 - 3*x + 15*x**5 - 106*x**2 - 101*x - 31*x = 0.
-2/3, 1, 3
Let w(t) = 22*t**3 + 18*t**2 - 192*t + 503. Let z(u) = -10*u**3 - 8*u**2 + 96*u - 252. Let c(i) = 4*w(i) + 9*z(i). Suppose c(y) = 0. Calculate y.
-8, 4
Suppose 0*n = -4*n + 32. Let 14*x - 7*x**2 + 8 + n*x**4 + 4*x**5 + 7*x - 17*x - 8*x**3 - 9*x**2 = 0. Calculate x.
-2, -1, 1
Let k(z) = z**5 - 22*z**4 - 146*z**3 + 2*z**2. Let w(l) = 2*l**5 - 21*l**4 - 147*l**3 + 3*l**2. Let y(j) = 6*k(j) - 4*w(j). Factor y(b).
-2*b**3*(b + 12)**2
Let h be 5 + (-6)/12 - 3. Let b(n) be the first derivative of -6 + n**2 + h*n**4 - 2/5*n**5 + 0*n - 2*n**3. Factor b(o).
-2*o*(o - 1)**3
Let j(a) be the third derivative of 0 + 0*a + 2/3*a**4 + 10*a**2 - 1/3*a**6 + 3/14*a**8 + 1/3*a**3 - 13/35*a**7 + 7/15*a**5. Let j(v) = 0. Calculate v.
-1/3, -1/4, 1
Let r(z) be the first derivative of z**6/27 - 2*z**5/9 + 4*z**4/9 - 8*z**3/27 - 317. Factor r(o).
2*o**2*(o - 2)**2*(o - 1)/9
Let a(o) be the second derivative of -3*o**5/80 + 21*o**4/16 + 11*o**3/4 + 354*o. What is u in a(u) = 0?
-1, 0, 22
Let h = 18 - 13. What is m in 6*m**4 + 12*m**3 - 5*m**2 + 4*m**2 - 9*m - 3*m**5 - h*m**2 = 0?
-1, 0, 1, 3
Let g = 115/159 - 3/53. Factor g*j**2 - 2 + 4/3*j.
2*(j - 1)*(j + 3)/3
Let v be (-304)/(-96) - (-2)/(-12). Factor -4*h**2 + 3*h - 4*h**3 + 2*h**4 + v + 0*h - 1 + 2*h**5 - h.
2*(h - 1)**2*(h + 1)**3
Let l(n) be the second derivative of 0*n**3 - 1/4*n**5 + 0*n**2 - 35/12*n**4 - 16*n + 0. Suppose l(d) = 0. Calculate d.
-7, 0
Let z(w) be the third derivative of 1/450*w**5 - 1/45*w**3 + 0*w + 1/180*w**4 + 19*w**2 + 0 - 1/900*w**6. Suppose z(i) = 0. Calculate i.
-1, 1
Let a(o) = -o**5 + o**3 - o**2 - o. Let t(v) = -15*v**5 + 35*v**4 + 115*v**3 + 105*v**2 + 60*v + 20. Let y(s) = -20*a(s) + t(s). Factor y(x).
5*(x + 1)**3*(x + 2)**2
Let h(i) be the second derivative of -i**7/210 - i**6/50 - i**5/100 + i**4/20 + i**3/15 + 4*i + 54. Find k, given that h(k) = 0.
-2, -1, 0, 1
Let n = 