 Factor s(i).
-2*(6*i + 79)**2/7
Let k(o) be the third derivative of o**7/42 + 5*o**6/24 + o**5/3 + 1125*o**2. Find d, given that k(d) = 0.
-4, -1, 0
Let q(w) be the third derivative of w**7/42 + 19*w**6/2 + 4177*w**5/4 - 33205*w**4/3 + 33640*w**3 - 6*w**2 - w + 44. Solve q(m) = 0 for m.
-116, 1, 3
Let i = 7164 - 7164. Let u(f) be the second derivative of 11*f - 1/42*f**4 + i*f**2 + 0 + 1/105*f**6 - 2/21*f**3 + 1/35*f**5. Suppose u(n) = 0. Calculate n.
-2, -1, 0, 1
Let j(f) be the second derivative of -f**4/2 - 3115*f**3/3 - 1038*f**2 - 2*f - 193. Factor j(z).
-2*(z + 1038)*(3*z + 1)
Let l(t) = t + 1. Let q(c) = -c**2 - 6*c - 14. Let h = -18 + 18. Suppose h*r - 1 = 2*r + 5*f, 5*r - 8 = -2*f. Let j(p) = r*l(p) - q(p). Factor j(k).
(k + 4)**2
Suppose -382/5*w**2 + 22/5*w**4 - 6/5*w**3 + 56/5*w - 2/5*w**5 + 1176/5 = 0. Calculate w.
-3, -2, 2, 7
Let m(c) be the first derivative of 8/3*c - 55 + 152/15*c**5 + 34/3*c**2 + 2*c**6 + 64/3*c**3 + 62/3*c**4. Factor m(u).
4*(u + 1)**4*(9*u + 2)/3
Let g(k) = 4*k**3 - 1400*k**2 - 23040*k + 51864. Let m(i) = -i**3 + 280*i**2 + 4608*i - 10373. Let r(s) = -5*g(s) - 24*m(s). Factor r(z).
4*(z - 2)*(z + 36)**2
Let n(a) be the third derivative of -a**5/240 - 35*a**4/96 + 3*a**3/2 + 3005*a**2. Factor n(j).
-(j - 1)*(j + 36)/4
Let p(o) be the first derivative of -2*o**5/5 + 20*o**4 - 526*o**3/3 + 224*o**2 - 7580. Suppose p(i) = 0. Calculate i.
0, 1, 7, 32
Let y be 139345/(-140) + (-17)/68. Let h = y + 996. Find c, given that -3/7*c**2 - 3/7*c**3 + 3/7 + h*c = 0.
-1, 1
Let u be (-3)/12*(-296)/(60/15) - 9. Let -1/4*i**2 - 361/4 - u*i = 0. What is i?
-19
Let k(m) be the third derivative of m**7/1050 - m**6/50 - 7*m**5/150 + m**4/10 + 13*m**3/30 + 947*m**2 - 1. Factor k(v).
(v - 13)*(v - 1)*(v + 1)**2/5
Let g(f) be the second derivative of f**7/126 + 2*f**6/45 - f**5/60 - f**4/9 + 978*f. Factor g(p).
p**2*(p - 1)*(p + 1)*(p + 4)/3
Factor -88 + 10*m**2 - 136 + 0*m**2 - 3*m**2 - 8*m**2 - 60*m.
-(m + 4)*(m + 56)
Let b(v) be the first derivative of 2/15*v**3 + 64 - 19/5*v**2 + 36/5*v. Factor b(o).
2*(o - 18)*(o - 1)/5
Let h(c) = -c**2 - 731*c - 96148. Let s be h(-172). Let s - 1/3*y**4 + y**3 + 16/3*y**2 + 4*y = 0. Calculate y.
-2, -1, 0, 6
Determine j, given that -52/17*j - 288/17 - 2/17*j**2 = 0.
-18, -8
Let 2592/7 + 1058/7*h**2 + 3312/7*h = 0. What is h?
-36/23
Let c(j) = -4*j**2 - 60*j + 364. Let i(s) = 3*s**2 + 39*s - 242. Let z(n) = -5*c(n) - 7*i(n). Factor z(t).
-(t - 21)*(t - 6)
Suppose -18*j**3 + 264 - 256*j + 82*j**3 - 2628514*j**2 + 2628440*j**2 + 2*j**4 = 0. Calculate j.
-33, -2, 1, 2
Let k = 3420/17 + -136783/680. Let p(h) be the third derivative of -k*h**5 + 1/48*h**6 - 1/420*h**7 + 0*h + 0 + 25*h**2 + 0*h**3 - 3/16*h**4. Factor p(d).
-d*(d - 3)**2*(d + 1)/2
Let d(j) be the first derivative of -10/19*j**2 + 106 - 6/19*j - 2/19*j**4 - 22/57*j**3. Determine g, given that d(g) = 0.
-1, -3/4
Suppose 461*a - 490*a + 58 = 0. Find u, given that 9/2*u + 3 + 3/2*u**a = 0.
-2, -1
Let v(n) = 2*n**2 + 11*n - 12. Let w be v(1). Let o be 5 - (147/28 - w). Factor -o*r - 1/4*r**2 + 0.
-r*(r + 3)/4
Suppose -8*o + 32 + 400 = 0. Suppose 42 - o = -6*n. Factor 8/11 + 8/11*r + 2/11*r**n.
2*(r + 2)**2/11
Let f(j) be the third derivative of -j**5/140 + 993*j**4/56 + 2*j**2 + 183*j + 10. Determine l, given that f(l) = 0.
0, 993
Let m = 2293 + -2289. Let j(w) be the first derivative of -1/10*w**m + 0*w**3 + 4/5*w + 3/5*w**2 - 2. Factor j(r).
-2*(r - 2)*(r + 1)**2/5
Suppose 3*h - 2 = 28. Let o be (0/1)/(40/h + -7). Factor 2/3*j**2 - 1/3*j + o.
j*(2*j - 1)/3
Let -2/11*w**2 + 1194/11*w + 1196/11 = 0. Calculate w.
-1, 598
Let y = 40 - 37. Let f(i) be the first derivative of 4*i**2 - i**2 - y*i**3 + i + 2*i - 2 + 4*i**3. Factor f(t).
3*(t + 1)**2
Let r(o) = 7*o**2 + 249*o + 2301. Let i(k) = -5*k**2 - 186*k - 1725. Let j(m) = -11*i(m) - 8*r(m). Factor j(c).
-(c - 63)*(c + 9)
Let q(z) = -19*z**3 + 973*z**2 - 205*z + 55. Let n be q(51). Factor 17/2*k - 2 + 11*k**3 - 14*k**2 - 4*k**n + 1/2*k**5.
(k - 4)*(k - 1)**4/2
Let z(y) be the first derivative of 4/3*y**3 - 26*y**2 + 88 + 0*y. Find g, given that z(g) = 0.
0, 13
Suppose 8*h = -230 + 214. Let z be -4*(h - 9/(-6)). Factor 5/4*g**z - 1/4 + g.
(g + 1)*(5*g - 1)/4
Let z(i) be the first derivative of -i**5/4 - 5*i**4/12 + 5*i**3/3 - 5*i - 77. Let b(l) be the first derivative of z(l). Factor b(f).
-5*f*(f - 1)*(f + 2)
Let w(p) = -3*p**3 - 117*p**2 - 114*p + 2. Let j be w(-38). Determine b so that 9/5*b**j + 3*b**3 + 0 - 18/5*b**4 - 6/5*b = 0.
-2/3, 0, 1/2, 1
Let p(l) be the second derivative of l**4/12 + 34*l**3/3 - 69*l**2/2 + 9*l + 108. Find x such that p(x) = 0.
-69, 1
Let f(r) be the third derivative of r**6/24 - 445*r**5/12 + 830*r**4/3 - 2210*r**3/3 + 42*r**2 - 36. Factor f(z).
5*(z - 442)*(z - 2)*(z - 1)
Let a(z) be the second derivative of -z**7/2100 + z**6/180 + z**5/50 + 59*z**3/6 - 49*z. Let o(d) be the second derivative of a(d). Factor o(j).
-2*j*(j - 6)*(j + 1)/5
Let o be (-5782)/4 - (4 + (-4 - -4)). Let v = -1364 - o. Factor -15/2*y**3 - 27 - v*y - 48*y**2.
-3*(y + 3)**2*(5*y + 2)/2
Let l(x) be the third derivative of x**5/20 - 15*x**4/4 - 99*x**3/2 + 130*x**2. Factor l(v).
3*(v - 33)*(v + 3)
Solve -22745*j - 332*j**2 - 22856*j + 9*j**3 - 288 - 25*j**3 + 4*j**4 + 45001*j = 0 for j.
-6, -1, 12
Let a(k) be the first derivative of 8/33*k**3 + 12/11*k**2 + 18/11*k - 42. Factor a(n).
2*(2*n + 3)**2/11
Let m(a) be the second derivative of 2*a**6/15 + 6*a**5/5 + 8*a**4/3 - 4*a**3 - 18*a**2 - 5639*a. What is d in m(d) = 0?
-3, -1, 1
Suppose -5*i - 44 = -v, 2*i = 10*v - 39 - 17. Suppose 4/7*g + 10/7*g**2 + 0 + 8/7*g**3 + 2/7*g**v = 0. Calculate g.
-2, -1, 0
Let l = 10 + -8. Suppose -5*m - 5*t = -t - 34, 3*t = 4*m - 52. Determine z so that 2*z**2 - m*z**2 - 3 - 4*z + 7*z**l = 0.
-3, -1
Let p(k) = 28*k**4 - 70*k**3 - 215*k**2 - 147*k + 3. Let a(m) = -375*m**4 + 910*m**3 + 2795*m**2 + 1910*m - 40. Let t(j) = -3*a(j) - 40*p(j). Factor t(o).
5*o*(o + 1)*(o + 3)*(o + 10)
Let m = 8954272/2667655 + -2/23197. Let k = m + -68/23. Factor 1/5*b**2 - 3/5 - k*b.
(b - 3)*(b + 1)/5
Let m(b) = 11*b**3 - 72*b**2 + 79*b + 162. Let l(q) = -9*q**3 + 74*q**2 - 79*q - 162. Let i(f) = 5*l(f) + 4*m(f). Let i(c) = 0. Calculate c.
-1, 2, 81
Let d(r) = 454*r + 238. Let p be d(-1). Let l = 219 + p. Find i, given that -8/5*i + 4/5*i**2 + 0 + 4/5*i**l = 0.
-2, 0, 1
Let p(s) be the second derivative of -5*s**4/12 - 5*s**3/6 + 19*s. Let g(a) = -a**2 - a. Let u(v) = 6*g(v) - p(v). Factor u(n).
-n*(n + 1)
Suppose 3*l - 3*f = 13 + 17, -2*l + f + 15 = 0. Solve -17983*j**4 - 25*j**3 + 18009*j**4 + 3*j**3 - 2*j**l + 24*j - 26*j**2 = 0.
-1, 0, 1, 12
Let j(l) be the second derivative of 1/4*l**4 - 7*l + 5/2*l**3 - 9*l**2 + 0. Factor j(p).
3*(p - 1)*(p + 6)
Factor 155*w + 95*w + 10*w**3 - 220*w - 35*w**2.
5*w*(w - 2)*(2*w - 3)
Let g(a) = 19*a + 165. Let l be g(-8). Determine t so that 784 + 21*t**2 - 4*t**2 + 0*t**2 - l*t**2 + 112*t = 0.
-14
Let z(x) be the third derivative of 10/21*x**3 - 1/105*x**5 + 0*x + 0 - 95*x**2 + 19/84*x**4. Let z(u) = 0. What is u?
-1/2, 10
Let j(q) be the second derivative of -3*q**5/140 + 667*q**4/28 + 334*q**3/7 + 1376*q - 2. Suppose j(u) = 0. Calculate u.
-1, 0, 668
Let b(q) be the first derivative of -28 - 17/12*q**2 - 7/18*q**3 + 1/24*q**4 - 3/2*q. Factor b(t).
(t - 9)*(t + 1)**2/6
Let c(y) be the third derivative of -y**7/105 + y**6/30 + 13*y**5/30 - 19*y**4/6 + 8*y**3 - 1218*y**2. Suppose c(v) = 0. What is v?
-4, 1, 2, 3
Let j(w) = -w - 7. Let s be j(-12). Let x(k) = 13*k**2 + 209*k + 1958. Let i(d) = -9*d**2 - 139*d - 1306. Let f(p) = s*x(p) + 7*i(p). Factor f(m).
2*(m + 18)**2
Suppose 0 = -n + 24*n + 87 - 156. Let r(b) be the first derivative of -4*b**4 + 0*b**2 + 0*b - 2/5*b**5 - 32/3*b**n + 13. Factor r(u).
-2*u**2*(u + 4)**2
Let v(i) be the third derivative of i**7/420 + i**6/80 + i**5/40 + i**4/48 - 19*i**3/6 - 2*i**2 - 49. Let k(h) be the first derivative of v(h). Factor k(g).
(g + 1)**2*(4*g + 1)/2
Let m(b) be the first derivative of 19992/5*b**5 - 127276/3*b**3 - 18660*b**2 - 68439/2*b**4 - 343/3*b**6 + 69 - 3600*b. Determine a, given that m(a) = 0.
-2/7, 15
Suppose -2*k = 3*a + 13, 3*a = -2*k - 3*k - 28. Let q be 2/(-4)*(-7 - a/1). Find h, given that -2*h**5 + 2*h**4 - 2*h**2 - 12*h**