) = 0. Calculate s.
-2, -1, 0, 1
Let v(r) be the first derivative of 15/2*r**4 + 115 - 5*r**5 + 5/6*r**6 + 0*r**3 + 0*r**2 + 0*r. Factor v(f).
5*f**3*(f - 3)*(f - 2)
Let h be 12/(-10) - 99645/(-77350). Let m(x) be the first derivative of 0*x + 4/17*x**2 - 21 + 16/51*x**3 - h*x**4 - 18/85*x**5. Solve m(j) = 0 for j.
-2/3, 0, 1
Let d(x) = -4*x + 18 + 18 - x - 13*x. Let j be d(2). Factor -4/9*v**2 + 4/9 + j*v.
-4*(v - 1)*(v + 1)/9
Let s(y) be the second derivative of -y**6/6 + 765*y**5/4 - 325125*y**4/4 + 27635625*y**3/2 - 3756*y. Solve s(r) = 0.
0, 255
Let s be 1516/1137 + 2/(-6) + -1. Let c(i) be the third derivative of 0*i - 7/3*i**3 + s - 1/30*i**5 + 24*i**2 + 2/3*i**4. Factor c(t).
-2*(t - 7)*(t - 1)
Let d(b) = -b**3 + b + 2. Let f be d(0). Let k = -2609/41 + 13209/205. Factor 16/5*w - k*w**f - 16/5.
-4*(w - 2)**2/5
Let m be (16/(-18))/(2644/(-5949)). Determine d, given that -2/9*d**m - 164/9*d - 3362/9 = 0.
-41
Let p(d) be the first derivative of d**3/6 + 53*d**2/4 - 27*d + 53. Factor p(s).
(s - 1)*(s + 54)/2
Let z be (((-4)/6)/(-2))/((-13608)/(-432)). Let k = 128/189 - z. Factor -1/3*t**2 - 1/3 - k*t.
-(t + 1)**2/3
Let i(v) = -v**3 - 6*v**2 - 6. Let a(p) = p**2 + 1. Let w = -17 - -22. Let f(s) = w*i(s) + 30*a(s). Factor f(z).
-5*z**3
Suppose 169*n**3 + 1394*n**5 - 264*n**4 - 1346*n**5 + 27*n + 122*n**3 + 198*n**2 = 0. Calculate n.
-1/4, 0, 3
Suppose c - 22 + 20 = 0. Solve -13*b + 36*b - 16*b**c - 8*b**3 + 4*b**4 + 1 + 11 - 15*b = 0.
-1, 1, 3
Let s(h) be the third derivative of -h**6/40 - 489*h**5/10 + 981*h**4/2 - 1964*h**3 - 6438*h**2. Suppose s(q) = 0. Calculate q.
-982, 2
Let x(f) = -2*f**4 - f**2 - 1. Let v(l) = -8*l**4 + 32*l**3 + 23*l**2 - 12*l - 23. Let r(c) = 2*v(c) - 14*x(c). Factor r(a).
4*(a + 1)**2*(a + 4)*(3*a - 2)
Let w(h) = -4*h**4 + h**3 - h**2 + 2*h + 1. Let f(r) = 11*r**4 + 3*r**3 + 12*r**2 - 60*r - 3. Let k(d) = 5*f(d) + 15*w(d). Suppose k(a) = 0. What is a?
-3, 0, 3, 6
Let a = 2652191/252590 - -2/126295. Determine n, given that 0*n - 39/4*n**2 + a*n**3 + 0 - 3/4*n**4 = 0.
0, 1, 13
Let w(f) be the second derivative of -f**7/10080 + f**6/480 - 3*f**5/160 + 73*f**4/12 + 22*f. Let m(i) be the third derivative of w(i). Factor m(l).
-(l - 3)**2/4
Let o(m) = 29*m**2 + 54*m - 28*m - 33 + m**3 + 0 + 0*m**3. Let z be o(-28). Solve 2*g**3 - g**4 + 2*g**3 - 4*g - 2*g**2 + z - 20 = 0 for g.
-1, 1, 3
Let m(c) be the first derivative of c**6/4 - 48*c**5 - 483*c**4/8 + 1541. Factor m(p).
3*p**3*(p - 161)*(p + 1)/2
Find s, given that -24 + 2/11*s**3 + 400/11*s - 138/11*s**2 = 0.
1, 2, 66
Let a(p) be the third derivative of 0 + 33*p**2 + 0*p - 1/12*p**3 + 1/24*p**4 - 1/120*p**5. Factor a(x).
-(x - 1)**2/2
Let k(y) be the second derivative of y**6/6 - y**5/4 + y**4/6 - y. Let w be ((8 - 0) + -4)/4. Let r(b) = b**4 - b**3. Let t(l) = w*k(l) - 6*r(l). Factor t(s).
-s**2*(s - 2)*(s + 1)
Let w = 3373947/19 + -177573. Factor 450/19*i + 0 - w*i**2 + 2/19*i**3.
2*i*(i - 15)**2/19
Let r = -121 + 120. Let n be (7 - 3)/(r/(-4)). Factor -n*v**2 + 2*v**3 + 6*v**2 + 3*v**3.
5*v**2*(v - 2)
Suppose 37*v + 31*v = 204. Let g(d) be the second derivative of -8/21*d**v - 4/7*d**2 - 22*d + 0 - 1/14*d**4. Factor g(l).
-2*(l + 2)*(3*l + 2)/7
Let s(c) be the first derivative of c - 61 + 1/9*c**3 + 2/3*c**2. Factor s(f).
(f + 1)*(f + 3)/3
Let w = 71 + -71. Suppose -2*o - 5*g + 15 = w, 5*o - 15 = -2*g + 33. Factor -3*h**2 - 10 - 2*h**2 - 20*h - o.
-5*(h + 2)**2
Find s, given that -5 + 5*s**5 - 175 - 80*s**3 + 2374*s**2 - 2184*s**2 + 75*s - 10*s**4 = 0.
-4, -1, 1, 3
Let p(q) be the first derivative of 1/2*q**3 - 3 + 7*q + 0*q**2 - 1/4*q**4. Let k(i) be the first derivative of p(i). Find s such that k(s) = 0.
0, 1
Let j = -28398 - -28398. Let w = 9 - 6. Factor -2/5*d**w + j + 0*d + 0*d**2.
-2*d**3/5
Let s = 12 + -21. Let x be (-6)/s + 6/(-9). Factor -8*m**3 - 42*m + 46*m + x*m**3 + 4*m**5.
4*m*(m - 1)**2*(m + 1)**2
Find j such that -42*j**2 + 0 - 27/2*j**4 + 0*j - 45*j**3 - 3/4*j**5 = 0.
-14, -2, 0
Solve -358*b + 11293*b**2 - 11281*b**2 - 618*b - 656 = 0 for b.
-2/3, 82
Let i = -7650/163 + 82868/1467. Suppose 10*y**2 + i*y + 28/9 + 34/9*y**3 + 2/9*y**4 = 0. Calculate y.
-14, -1
Factor 1/2*m**2 + 0 - 73/2*m.
m*(m - 73)/2
Let l(w) be the first derivative of 0*w + 0*w**2 - 5476/9*w**3 - 50 - 4/15*w**5 - 74/3*w**4. Factor l(x).
-4*x**2*(x + 37)**2/3
Let o be (-2 - 9/(-6))/(2/(-16)). Suppose 2*t - w = 0, -o*t - 3*w + 13 = -7. Let 0 - 1/3*u**3 - 16/3*u + 8/3*u**t = 0. What is u?
0, 4
Let y(f) be the third derivative of f**8/672 + f**7/70 + f**6/48 - f**5/6 - 3*f**4/4 - 4*f**3/3 - 6*f**2 - 54. Solve y(i) = 0 for i.
-4, -2, -1, 2
Let y(w) = w**3 - 11*w**2 - 27*w + 26. Let u be y(13). Suppose 8*r + 15 = u*r. Factor -1/4*q**2 + 0*q - 1/4*q**4 + 1/2*q**r + 0.
-q**2*(q - 1)**2/4
Let n(p) be the first derivative of 13*p**3/4 - 183*p**2/2 - 171*p/4 + 1170. Find q, given that n(q) = 0.
-3/13, 19
Let n(m) be the second derivative of -m**7/13860 - m**6/1320 + m**5/165 - 34*m**4/3 - 37*m. Let j(b) be the third derivative of n(b). Let j(v) = 0. What is v?
-4, 1
Let m be 7 + (6 - 14 - (-6 + 2)). Solve 36*b - 8*b**2 - 10*b**2 + 46 - 70 + 4*b**m - b**3 = 0.
2
Let d(u) be the first derivative of -u**5/35 + u**4/28 + 13*u**3/21 - u**2/14 - 12*u/7 - 5667. Let d(s) = 0. What is s?
-3, -1, 1, 4
Let p be 308/33*(0 + 0 - -3). Let d(y) = 16*y**2 + 2*y + 2. Let l(o) = o**2 + 1. Let q(r) = p*l(r) - 2*d(r). Factor q(t).
-4*(t - 2)*(t + 3)
Let t be 59/6 + (-3)/(-18). Suppose -q + t = 4*q. Determine s so that -12*s**2 - 8*s**2 + 23*s**q + 3*s = 0.
-1, 0
Let g(p) be the third derivative of -p**7/4200 - p**6/600 - 32*p**3/3 + p**2 - 33. Let h(v) be the first derivative of g(v). Factor h(b).
-b**2*(b + 3)/5
Let g(d) be the second derivative of d**7/357 + 3*d**6/85 + 29*d**5/170 + 13*d**4/34 + 6*d**3/17 + 2*d + 398. Let g(w) = 0. What is w?
-3, -2, -1, 0
Let n = 1568 - 1565. Let a(f) be the second derivative of -1/36*f**4 + 0 + 4*f + 0*f**2 - 1/4*f**5 - 1/18*f**7 + 1/9*f**n - 19/90*f**6. Factor a(z).
-z*(z + 1)**3*(7*z - 2)/3
Let p(q) be the first derivative of 11*q**3 - 120 - 7*q**3 - 117*q - 3*q**3 - 7 - 68 - 15*q**2. Factor p(o).
3*(o - 13)*(o + 3)
Let x(u) be the second derivative of u**6/18 - 7*u**5/12 + 35*u**4/18 - 20*u**3/9 - 388*u. What is i in x(i) = 0?
0, 1, 2, 4
Let f(y) be the third derivative of y**9/1080 - y**8/672 - y**7/630 - 2*y**4/3 + y**3/3 + 5*y**2 + y. Let x(j) be the second derivative of f(j). Factor x(z).
2*z**2*(z - 1)*(7*z + 2)
Factor -24/5*l**2 - 2/5*l**3 - 24 - 94/5*l.
-2*(l + 3)*(l + 4)*(l + 5)/5
Let c(i) = 3*i**3 - 310*i - 258. Let y(r) = 2*r**3 - 155*r - 132. Let j(g) = -3*c(g) + 7*y(g). Factor j(f).
5*(f - 6)*(f + 1)*(f + 5)
Let c(l) be the first derivative of -2*l**6/15 + 3*l**4 + 8*l**3/3 - 24*l**2 + 9*l + 255. Let q(u) be the first derivative of c(u). Let q(r) = 0. Calculate r.
-2, 1, 3
Let r be (-10 - 1200/(-125))/((-6)/5). Let q(t) = t + 6. Let o be q(-4). Find s such that 4/3*s**3 - s - 6 - r*s**5 - 4/3*s**4 + 22/3*s**o = 0.
-3, -1, 1, 2
Let r = -25 - -25. Let l be ((-3 + r)/(-3))/(4/8). Factor -2*h**3 + h**3 + 3*h**l + 4*h**3.
3*h**2*(h + 1)
Let i = -226 - -453/2. Let j(q) be the first derivative of -1/8*q**4 - 14 - i*q**3 + 3/2*q + 1/4*q**2. Factor j(r).
-(r - 1)*(r + 1)*(r + 3)/2
Let j(a) = -18*a**2 - 3056*a + 435. Let o(c) = 10*c**2 + 1530*c - 218. Let k(g) = -2*j(g) - 5*o(g). Factor k(q).
-2*(q + 110)*(7*q - 1)
Let x(c) be the third derivative of 0*c - 95*c**2 + 0 - 1/735*c**7 - 1/105*c**6 - 1/42*c**4 - 1/42*c**5 + 0*c**3. Factor x(r).
-2*r*(r + 1)**2*(r + 2)/7
Let a(m) = -108*m**2 + m - 1. Let x be a(1). Let r be 6 + 618/x + 2/9. Find k, given that -r*k**3 + 0*k - 2 + 3/2*k**2 = 0.
-1, 2
Suppose 0 = -39*v - 164 - 24 + 344. Determine s so that -4/3*s**5 + 4*s**2 + 0 - 28/3*s**3 + 20/3*s**v + 0*s = 0.
0, 1, 3
Let f(w) be the third derivative of -35/24*w**4 + 0 + 0*w - 5/3*w**3 - 138*w**2 - 1/42*w**7 - 3/4*w**5 - 5/24*w**6. Factor f(p).
-5*(p + 1)**3*(p + 2)
Let x(r) = 178*r - 1063. Let f be x(6). Let h(s) be the third derivative of 13*s**2 + 1/42*s**4 + 0 + 1/210*s**f - 1/7*s**3 + 0*s. Find d, given that h(d) = 0.
-3, 1
Let k(l) = 2*l**5 - l**4 + l**3 - l**2 - 3*l - 1. Let a(u) = -42*u**4 + 170*u**3 + 110*u**2 - 554*u + 310. Let m(q) = -a(q) + 2*k(q). Let m(