(n).
2*(13*n - 18)**2/5
Let m(h) be the first derivative of -h**4/30 - 28*h**3/45 - 53*h**2/15 - 16*h/3 - 1419. Factor m(x).
-2*(x + 1)*(x + 5)*(x + 8)/15
Let w(s) be the second derivative of 0 + 9/20*s**5 + 0*s**2 - 35*s + 5*s**4 + 6*s**3. Factor w(u).
3*u*(u + 6)*(3*u + 2)
Let q be (49/(147/(-36)))/(4 + 20/(-8))*-1. Factor -48/7*o**3 + 4/7*o**4 - q*o - 108/7*o**2 + 0.
4*o*(o - 14)*(o + 1)**2/7
Let d(q) be the first derivative of -5/8*q - 72 - 1/16*q**4 + 1/40*q**5 - 1/2*q**3 - 7/8*q**2. Factor d(h).
(h - 5)*(h + 1)**3/8
Let z = -172775/2 - -86388. Determine l so that -1/2*l**2 - z + l = 0.
1
Let j = -717805 - -717807. Factor 27/4*l**3 + 3/8*l**4 + 363/2 + 111/8*l**j - 297/2*l.
3*(l - 2)**2*(l + 11)**2/8
Let s(l) = 0*l**2 - 202*l + 199*l + 6 - 16*l**2. Let z(v) = -9*v**2 - v + 4. Let a(t) = 4*s(t) - 7*z(t). Factor a(u).
-(u + 1)*(u + 4)
Suppose -44*n + 10 = -39*n. Suppose -3497 - 2*a**n + 3497 - 10*a = 0. Calculate a.
-5, 0
Suppose 2*v + 5*x = -19, 5*x - 11 = 3*v + 9*x. Let r(m) be the first derivative of 2/15*m**5 + 1/3*m**4 - 3 - 2/3*m**2 + 0*m**v - 2/3*m. Solve r(w) = 0.
-1, 1
Let o(n) = 6*n**3 + 26*n**2 - 1160*n - 1200. Let w(d) = -d**3 - d**2 - 10*d. Let q(h) = -o(h) - 2*w(h). Factor q(t).
-4*(t - 15)*(t + 1)*(t + 20)
Let w be 1768/(-39) + 3/9. Let m be 16/36 + 10/w. Factor 4/9*c + m*c**2 + 0 - 2/9*c**3.
-2*c*(c - 2)*(c + 1)/9
Let w(a) be the third derivative of a**8/2184 - 8*a**7/1365 + 5*a**6/156 - 19*a**5/195 + 7*a**4/39 - 8*a**3/39 + 4583*a**2. Factor w(m).
2*(m - 2)**3*(m - 1)**2/13
Let s = -101 + 115. Suppose -234 = a - s*a. What is q in 3 - a*q + 24 - 4*q**2 + 7*q**2 = 0?
3
Suppose 6*b = 3*j - 15, -3*j + 17 = j - 5*b. Let -8*d**2 + d**4 + 7*d + 22*d**3 - 48*d**j - 5*d**2 + 16*d**3 + 15*d**3 = 0. Calculate d.
-7, 0, 1
Let y(s) be the third derivative of s**5/54 + 8*s**4/27 + 4*s**3/9 + 806*s**2 - 1. Factor y(p).
2*(p + 6)*(5*p + 2)/9
Let m(h) be the third derivative of -h**7/1400 + h**6/24 + 13*h**5/100 + 26*h**3/3 + 19*h**2. Let u(w) be the first derivative of m(w). What is j in u(j) = 0?
-1, 0, 26
Let a be ((-39)/(-26))/(165/20). Let o be -3 + 4 + 4 + -3. Determine h so that a*h + 12/11 - 2/11*h**o = 0.
-2, 3
Let u(g) be the second derivative of -5/48*g**4 - 10*g + 1/4*g**2 + 3/8*g**3 + 2. Let u(r) = 0. Calculate r.
-1/5, 2
Let n(q) be the third derivative of q**6/12 + 29*q**5/45 + 37*q**4/36 - 2*q**3/3 + 1160*q**2. Find m, given that n(m) = 0.
-3, -1, 2/15
Let -12*b + 0 - 1/4*b**3 + 4*b**2 = 0. What is b?
0, 4, 12
Let j(z) be the third derivative of -z**7/42 - 89*z**6/24 + 181*z**5/12 - 455*z**4/24 - 1314*z**2 + 1. What is g in j(g) = 0?
-91, 0, 1
Let g(p) be the second derivative of 0 - 5/6*p**6 - 5/6*p**3 - p**2 + 1/4*p**5 + 72*p + 9/4*p**4. Solve g(k) = 0.
-1, -1/5, 2/5, 1
Let b(w) be the first derivative of -w**5/5 + 323*w**4 - 418606*w**3/3 + 416670*w**2 - 416025*w - 651. Factor b(r).
-(r - 645)**2*(r - 1)**2
Let r be (1/6 - 3/2)/(-90). Let b(i) be the second derivative of 0*i**5 + 0 + 4/27*i**3 + 0*i**2 - r*i**6 - 3*i + 1/9*i**4. Let b(z) = 0. Calculate z.
-1, 0, 2
Let y(k) be the third derivative of k**7/1050 - 2*k**6/75 - k**5/4 - 49*k**4/60 - 4*k**3/3 + 34*k**2 - 3. Factor y(t).
(t - 20)*(t + 1)**2*(t + 2)/5
Let n(h) be the second derivative of -h**6/540 - h**5/30 - h**4/4 + 19*h**3/6 + h**2/2 - 102*h. Let t(g) be the second derivative of n(g). Factor t(p).
-2*(p + 3)**2/3
Let 21*g - 79/4*g**2 + 4*g**3 + 45 - 1/4*g**4 = 0. Calculate g.
-1, 5, 6
Let u(p) = -p**3 + 22*p**2 - 15*p - 2. Let g(l) = 16 + 14*l + 0*l + 34*l**3 - 13 - 24*l**2 - 33*l**3. Let f(z) = -2*g(z) - 3*u(z). Factor f(r).
r*(r - 17)*(r - 1)
Let v(h) be the first derivative of 0*h + 59 + 1/3*h**2 - 1/9*h**3. Determine y so that v(y) = 0.
0, 2
Let x(j) be the first derivative of -8*j**2 + 1/6*j**3 - 1/12*j**4 - 4 + 1/60*j**5 + 0*j. Let z(s) be the second derivative of x(s). Factor z(o).
(o - 1)**2
Let w(j) be the first derivative of -1/15*j**5 + 2/3*j**2 - j**3 + 0*j + 1/2*j**4 - 5. Factor w(t).
-t*(t - 4)*(t - 1)**2/3
Suppose v - 4*a = 32, 5*a = -22*v + 20*v - 1. Factor -9*g**2 - 36*g + 2*g**3 + 7*g**2 + v*g**2 + 40*g - 16.
2*(g - 1)*(g + 2)*(g + 4)
Let w(f) be the first derivative of f**5/30 + f**4/2 + 5*f**3/3 - f**2/2 + 6*f - 31. Let p(l) be the second derivative of w(l). Suppose p(j) = 0. Calculate j.
-5, -1
Factor -666*h**4 - 27*h - 87*h**2 - 32*h**3 - 37*h**2 - 61*h + 670*h**4.
4*h*(h - 11)*(h + 1)*(h + 2)
Let i(z) be the third derivative of z**6/60 - 14*z**5/15 + 32*z**4/3 + 1024*z**3/3 - 1683*z**2. Solve i(y) = 0.
-4, 16
Let t(z) be the third derivative of -5*z**8/112 - z**7/10 + 7*z**6/20 + 4*z**5/5 + 4145*z**2. Solve t(n) = 0 for n.
-2, -1, 0, 8/5
Let -3/8*j**3 - 147/2 + 723/8*j - 33/2*j**2 = 0. Calculate j.
-49, 1, 4
Let j(i) be the first derivative of -7*i**5/40 + 5*i**4/4 - 23*i**3/24 - 5*i**2/8 + 6526. Suppose j(x) = 0. What is x?
-2/7, 0, 1, 5
Let p(r) be the third derivative of 8/15*r**3 - r**2 + 0*r + 0 + 1/75*r**5 + 2/15*r**4. Factor p(z).
4*(z + 2)**2/5
Let x(m) = -m**2 + m - 5. Let y(v) = 2*v**2 - 12*v + 23. Let z(n) = 2*x(n) + 2*y(n). Factor z(j).
2*(j - 9)*(j - 2)
Let i(t) = -t**2 - 9*t + 46. Let o be i(-12). Suppose -3*h - 21 = -o*h. Factor -3*j + 11*j**2 + 2*j - j**5 + 0*j - 9*j**2 - 1 - j**4 + 2*j**h.
-(j - 1)**2*(j + 1)**3
Let x be 100*(-48)/55200 + 609/(-23)*(-2)/57. Solve -x*c - 70/19*c**4 + 0 - 314/19*c**3 - 140/19*c**2 = 0 for c.
-4, -2/7, -1/5, 0
Let d(j) be the third derivative of -6*j**3 - 7/40*j**6 - 113*j**2 + 11/20*j**5 + 1/70*j**7 + 0 + 7/8*j**4 + 0*j. Suppose d(z) = 0. Calculate z.
-1, 1, 3, 4
Let t(a) be the second derivative of 18*a + 0*a**3 + 1/40*a**6 + 10*a**2 + 0 + 1/10*a**5 + 1/8*a**4. Let k(j) be the first derivative of t(j). Solve k(q) = 0.
-1, 0
Let i(k) be the first derivative of -k**5 - 845*k**4/2 - 48160*k**3 - 141120*k**2 - 6154. Let i(a) = 0. Calculate a.
-168, -2, 0
Let g(y) be the second derivative of -2/27*y**3 - 1/54*y**4 + 0*y**2 + 0 + 19*y. Suppose g(b) = 0. What is b?
-2, 0
Suppose 0 = -5*p - 2*h - 188835, 4*p = -3*h - 56925 - 94136. Let a = 717811/19 + p. Factor 2/19*w**2 + 40/19*w + a.
2*(w + 10)**2/19
Let n(f) = 1285*f**4 + 7675*f**3 + 5275*f**2 + 1280*f + 100. Let o(z) = -z**4 + z**3 + z**2 + 1. Let r(c) = -n(c) - 5*o(c). Find b, given that r(b) = 0.
-21/4, -1/4
Suppose -168 = -6*g - 8*g. Let f be g/(-105)*(-140)/56. Let f*k**3 + 16/7 + 12/7*k**2 + 24/7*k = 0. What is k?
-2
Suppose -3*k - 128 = 2*a - 125, -3*a + 24 = -5*k. Determine w so that -7/4*w + 1/4*w**a + 0 + 3/2*w**2 = 0.
-7, 0, 1
Let h be -4*(-2)/(-6)*-21. Let a(t) = -t**3 + 2*t**4 + 0*t**2 - t**2 + 9*t**4 - 12*t**4. Let z(x) = -4*x**4 - 10*x**2. Let f(k) = h*a(k) - 2*z(k). Factor f(i).
-4*i**2*(i + 1)*(5*i + 2)
Let l(x) be the third derivative of 0 + 1/2016*x**8 - 1/360*x**6 + 0*x**3 + 0*x**7 + 0*x**5 + 1/144*x**4 - 185*x**2 + 0*x. Factor l(n).
n*(n - 1)**2*(n + 1)**2/6
Find c, given that -207/4*c - 3/4*c**2 - 51 = 0.
-68, -1
Let o(k) be the first derivative of -8*k**2 - 1/10*k**5 - 1 + 4/3*k**3 + 8*k + 1/3*k**4. Let n(r) be the first derivative of o(r). What is u in n(u) = 0?
-2, 2
Let n(j) be the second derivative of 2*j + 12 + 2/5*j**6 - 3/2*j**3 + 1/14*j**7 + 3/10*j**5 + 0*j**2 - j**4. What is i in n(i) = 0?
-3, -1, 0, 1
Let d(k) be the first derivative of -2*k**3 - 2522*k**2 + 1682*k - 1696. Let d(y) = 0. Calculate y.
-841, 1/3
Let g = 909536/44541 + 120/4949. Determine t, given that -4232/9 - 2/9*t**2 + g*t = 0.
46
Let l(b) be the first derivative of -49*b**3/3 - 42*b**2 + 24*b - 24. Let o(f) = -146*f**2 - 251*f + 71. Let n(j) = -11*l(j) + 4*o(j). Factor n(a).
-5*(a + 2)*(9*a - 2)
Determine l so that 357*l**4 - 998*l**4 + 443*l**4 + 63*l**2 + 318*l**4 + 40*l + 12*l**2 - 970*l**3 = 0.
-1/6, 0, 1/4, 8
Factor 259*y**2 + 31351*y + 5*y**3 + 533*y**2 - 5451*y - 62*y**2 - 54760.
5*(y - 2)*(y + 74)**2
Suppose v = 2*s + 18, 32 = 4*v - 5*s - 28. Let -5*a - 88763*a**2 - v + 88758*a**2 - 10*a = 0. Calculate a.
-2, -1
Let g(k) be the first derivative of -k**5/15 - 86*k**4/3 - 14792*k**3/3 + 191*k**2/2 - 145. Let s(b) be the second derivative of g(b). Factor s(m).
-4*(m + 86)**2
Let f be (-642)/16*(40/18 + -2). Let s = 29/12 - f. Factor s*l + 4 + 8/3*l**3 + 10*l**2.
2*(l + 1)*(l + 2)*(4*l + 3)/3
Let k(o) be the third derivative of 0 + 13