ctor -16/5*n - 4*n**2 + 0 - 4/5*n**3.
-4*n*(n + 1)*(n + 4)/5
Let i(c) be the second derivative of 1/96*c**4 + 0 + 25/16*c**2 - 15*c - 5/24*c**3. Find j such that i(j) = 0.
5
Find l such that 0*l**2 + 0 + 2/13*l**3 - 2/13*l**4 + 0*l = 0.
0, 1
Let h(l) be the third derivative of l**8/15120 - l**7/1890 + l**4/3 - l**2. Let u(b) be the second derivative of h(b). Factor u(k).
4*k**2*(k - 3)/9
Let h(d) = -5*d**2 - 160*d + 2. Let l be h(-32). Find p, given that 0 + p - 1/4*p**l = 0.
0, 4
Let i be (0/3)/((-4)/(-1)). Let k(g) = -g**2 + 15*g - 26. Let h be k(13). Factor -3/4*c**5 + i*c - 3/4*c**3 + h + 3/2*c**4 + 0*c**2.
-3*c**3*(c - 1)**2/4
Let n(p) = 155*p**2 - 155*p - 45. Let x(y) = 7*y**2 - 7*y - 2. Let a be (2 + -8)*4/(-12). Let b(l) = a*n(l) - 45*x(l). Factor b(q).
-5*q*(q - 1)
Let f(l) be the first derivative of -2/9*l**3 + 1/6*l**5 + 1/36*l**6 + 1/4*l**4 + 0*l + 10 - 2/3*l**2. Find y, given that f(y) = 0.
-2, 0, 1
Let z(s) = -2*s**3 + 20*s**2 - 7*s + 4. Let t(w) = 3*w**3 - 19*w**2 + 10*w - 4. Let a(o) = 3*t(o) + 2*z(o). Factor a(l).
(l - 2)*(l - 1)*(5*l - 2)
Let p(u) = -2*u + 34. Let v be p(16). Determine g, given that -g**4 + 7*g - 8*g**v + 7*g**3 - 5*g - 18*g = 0.
-1, 0, 4
Suppose 15*d - 13*d - 4 = 0. Let v(h) = 2*h**2 + 12*h + 18. Let m be v(-3). Factor -3/4*x**d + 0*x + m.
-3*x**2/4
Let b be (2 + (29/(-10) - -3))*12/7. Solve -b + 12/5*t - 2/5*t**2 = 0 for t.
3
Let v(i) be the first derivative of -16*i**5/15 - 4*i**4 + 20*i**3/3 + 100*i**2/3 - 172. Factor v(q).
-4*q*(q - 2)*(2*q + 5)**2/3
Let j = 3/34229 - -102675/136916. Solve -3/4*k**2 - 9/4*k**4 + 0 - j*k + 15/4*k**3 = 0.
-1/3, 0, 1
Let l(r) be the second derivative of r**7/5040 - r**6/360 + r**5/80 - 17*r**4/6 + 40*r. Let x(p) be the third derivative of l(p). Suppose x(y) = 0. Calculate y.
1, 3
Let f(o) be the third derivative of -o**5/270 - o**4/36 + 6*o**2 + 2*o. What is j in f(j) = 0?
-3, 0
Let t(c) be the first derivative of 0*c**3 - 10*c - 5/4*c**4 + 24 + 15/2*c**2. Factor t(d).
-5*(d - 1)**2*(d + 2)
Let i(u) be the first derivative of 11*u**5 - 215*u**4/4 - 45*u**3 + 675*u**2/2 + 540*u - 29. Let i(p) = 0. What is p?
-12/11, -1, 3
Let y(g) be the first derivative of 7*g**5/15 - g**4 - 11*g**3/9 + 2*g**2 + 4*g/3 + 609. Find u, given that y(u) = 0.
-1, -2/7, 1, 2
Let g = 190 + 260. Let p be 4/(-6) + g/513. Solve 0 - p*j + 2/19*j**2 = 0.
0, 2
Solve -6/7*f**3 - 2/7*f**4 + 4/7 - 2/7*f**2 + 6/7*f = 0.
-2, -1, 1
Suppose 0 = 4*a - 5*p + 835 - 267, 0 = 2*a + 3*p + 284. Let o = 142 + a. Factor o + 2/5*x**3 - 8/5*x**2 + 0*x.
2*x**2*(x - 4)/5
Let p(d) be the third derivative of -d**8/2016 + d**7/90 - 61*d**6/720 + 7*d**5/30 - d**4/4 + 5*d**2 + d. Factor p(m).
-m*(m - 6)**2*(m - 1)**2/6
Let l(j) = 845*j**2 - 518*j + 82. Let g(k) be the second derivative of -845*k**4/6 + 345*k**3/2 - 165*k**2/2 + 29*k. Let u(r) = 2*g(r) + 5*l(r). Solve u(f) = 0.
4/13
Factor -50*d**2 - 9*d**2 + 3111*d**3 + 38*d - 3108*d**3.
d*(d - 19)*(3*d - 2)
Let t(d) be the second derivative of -3*d**7/14 - 11*d**6/5 - 3*d**5/2 + 20*d**4 - 27*d**3/2 - 27*d**2 - 2*d + 249. Suppose t(g) = 0. What is g?
-6, -3, -1/3, 1
Let k(c) = -3*c**2 - 365*c + 122. Let w be k(-122). Determine y so that -9/7*y**5 + 0*y**2 - 2/7*y**3 + 0*y - 11/7*y**4 + w = 0.
-1, -2/9, 0
Let r = -78 + 86. Factor r*o**3 - 6*o**5 + 22*o**5 - 49 + 49 + 4*o**2 - 28*o**4.
4*o**2*(o - 1)**2*(4*o + 1)
Factor 36*b**2 + 2*b**3 - 29 + 105*b + 45 + 56 + b**3.
3*(b + 1)*(b + 3)*(b + 8)
Let d be (-4 - -1)*(-87)/9. Factor -41 + d + v**2 + v**2 - 10*v.
2*(v - 6)*(v + 1)
Let h(x) = x**3 + 21*x**2 - 14*x - 29. Let z be h(-21). Let o = -2381/9 + z. Suppose 2/9*q - 2/9*q**4 + 2/3*q**2 - 2/9*q**3 - o = 0. Calculate q.
-2, -1, 1
Let m(b) = -b**2 + 24*b + 63. Let l be m(26). Factor 5*g - 20*g**2 + 20*g**4 - l*g**2 - 5*g**3 + 11*g**2.
5*g*(g - 1)*(g + 1)*(4*g - 1)
Let a(v) = 2*v**2 + 524*v - 36988. Let c(t) = -5*t**2 - 1043*t + 73975. Let r(o) = -9*a(o) - 4*c(o). Let r(i) = 0. What is i?
136
Suppose -7*f = -6*f. Suppose 5*q = -0*q - 4*w - 10, 4*w + 20 = f. Factor 4*n**2 + 2 + 7*n + n**2 + 5*n**3 + 4*n**q - 2*n**4 + 3*n**4.
(n + 1)**3*(n + 2)
Let b = -130 + 71. Let o = b - -63. Suppose -1/4 + 1/2*x**3 + 3/4*x**o - 3/4*x - 1/2*x**2 + 1/4*x**5 = 0. Calculate x.
-1, 1
Suppose -5*r = -5*h - 10, -3*h - r = -0*h - 10. Suppose f - 5 = -h. Find g such that -2*g**f + 8/9*g**4 + 0 + 4/9*g**2 + 0*g = 0.
0, 1/4, 2
Let o = -43 + 218. Let y = 177 - o. Factor -y - n**3 + 2*n + 3/2*n**2 - 1/2*n**4.
-(n - 1)**2*(n + 2)**2/2
Let s be 2/((3/297)/(23/6)). Let o be (-1 + 2)*s/55. Determine g so that 9/5*g**5 - o*g**2 + 12/5 + 99/5*g**3 + 0*g - 51/5*g**4 = 0.
-1/3, 1, 2
Let n(h) = -h**2 - 101*h - 476. Let u be n(-5). Factor 0*y - 2/5*y**u + 0 + 2/5*y**2 + 0*y**3.
-2*y**2*(y - 1)*(y + 1)/5
Factor -3648*y**3 + 12*y + 3*y**4 + 24 + 4*y**2 + 3645*y**3 - 22*y**2.
3*(y - 2)**2*(y + 1)*(y + 2)
Let a(l) be the third derivative of l**7/70 + 3*l**6/40 + l**5/10 + 203*l**2. Factor a(v).
3*v**2*(v + 1)*(v + 2)
Let u(d) be the second derivative of 0*d**5 - 1/90*d**6 + 4/9*d**3 + 0 - 5*d + 1/6*d**4 + 1/2*d**2. Find o, given that u(o) = 0.
-1, 3
Let j(q) be the second derivative of -3*q**5/5 - q**4 + 39*q**3/2 - 54*q**2 + 319*q. Find w, given that j(w) = 0.
-4, 3/2
Let s(w) be the first derivative of -2/7*w**2 - 9 + 0*w + 4/7*w**4 - 2/7*w**5 - 2/21*w**3. What is q in s(q) = 0?
-2/5, 0, 1
Let i(u) be the second derivative of -u**8/112 + u**7/70 + u**6/8 + 3*u**5/20 + 15*u**2 - u. Let o(f) be the first derivative of i(f). Solve o(c) = 0.
-1, 0, 3
Let b be (-30)/(-8) + (150/(-24))/(-25). Solve 0 - 16/7*v**2 - 2/7*v**b + 10/7*v**3 + 8/7*v = 0.
0, 1, 2
Factor 65/12*t**2 + 43/4*t - 1/6.
(t + 2)*(65*t - 1)/12
Let p(o) be the first derivative of -o**7/280 - o**6/120 + o**5/8 - 3*o**4/8 - 13*o**3/3 + 23. Let l(m) be the third derivative of p(m). Factor l(w).
-3*(w - 1)**2*(w + 3)
Let r(k) be the third derivative of -k**7/630 - 7*k**6/360 + 2*k**5/45 - 87*k**2. Factor r(g).
-g**2*(g - 1)*(g + 8)/3
Let o(k) = -k**2 + 7*k - 4. Let u be (-6)/(-2) + (1 - -2). Let v be o(u). Let -6*g**5 + 11*g - v*g**3 - 11*g + 0*g**3 + 8*g**4 = 0. What is g?
0, 1/3, 1
Factor 112*z**3 + 6 + 620*z**4 + 6*z**5 - 576*z**4 + 96*z**2 - 70 - 32*z.
2*(z + 2)**4*(3*z - 2)
Let t(n) be the third derivative of n**8/720 + n**7/840 - 5*n**3/3 - 6*n**2. Let p(y) be the first derivative of t(y). Factor p(h).
h**3*(7*h + 3)/3
Let a(s) be the first derivative of -5 - 3*s + 1/21*s**3 + 1/14*s**2 + 1/84*s**4. Let i(r) be the first derivative of a(r). Factor i(p).
(p + 1)**2/7
Let l(j) = j**3 - 151*j**2 - 483*j + 3236. Let h be l(154). Factor -8/7*x + 24/7 - 2/7*x**h.
-2*(x - 2)*(x + 6)/7
Let z(m) be the third derivative of m**8/1344 - m**6/48 - m**5/12 + 11*m**4/24 + 11*m**2. Let k(t) be the second derivative of z(t). Factor k(h).
5*(h - 2)*(h + 1)**2
Let i(h) be the first derivative of h**6/2 - h**5/5 - 3*h**4/2 + 2*h**3/3 + 3*h**2/2 - h + 106. Let i(f) = 0. What is f?
-1, 1/3, 1
Let x(h) be the second derivative of -7/2*h**3 - 387/80*h**5 + 151/24*h**4 + h**2 + 7/8*h**7 + 7/60*h**6 + 3*h + 0. Suppose x(f) = 0. Calculate f.
-2, 2/7, 1/3, 1
Let 32/11*w + 34/11*w**2 + 10/11*w**3 + 8/11 = 0. Calculate w.
-2, -1, -2/5
Let c = 229/7 - 713/21. Let x = c + 44/21. Determine a, given that 2/7*a**2 - x*a + 6/7*a**3 - 2/7*a**4 + 0 = 0.
-1, 0, 1, 3
Factor 6/5*j + 0 - 8/5*j**2.
-2*j*(4*j - 3)/5
Let h be (-14 - -14)/(1*-2). Let n be 6/72*(h - -3) + 0. Factor n - 1/2*p + 1/4*p**2.
(p - 1)**2/4
Let u(w) = 5. Let z(d) = -1. Let j(l) = -u(l) - 4*z(l). Let v(y) = -2*y**2 + 8*y + 16. Let p(i) = 6*j(i) + v(i). Factor p(m).
-2*(m - 5)*(m + 1)
Let b(p) = 2*p**2 + 29*p - 181. Let n(m) = -m**2 - m + 4. Let d(g) = b(g) + 3*n(g). Factor d(c).
-(c - 13)**2
Let l(p) be the first derivative of -1/4*p**4 - 1/6*p**3 + 1/20*p**5 + 3/2*p**2 - 7*p - 4. Let m(b) be the first derivative of l(b). Factor m(c).
(c - 3)*(c - 1)*(c + 1)
Suppose 0*k + 4*n = -2*k - 12, -2*n = -6. Let u be (-40)/(-24) - (-4)/k. Factor 2/3 + u*h + 2/3*h**2.
2*(h + 1)**2/3
Let h = 20 - -11. Let p = h + -31. Factor p*f**3 + 1/5*f**4 + 0*f**2 + 0 + 0*f.
f**4/5
Let p(u) = 5*u - 1 + 8*u**2 - 4*u + 0*u. Let k be p(-1). Determine b so that -k*b + 2*b + 5*b + 3*b**2 - 4 + 2 = 0.
-1, 2/3
Let g(a) be the third derivative of 1/18*a**5 + 0