4)**2/5
Let r(n) be the second derivative of -n**4/96 + 11*n**3/24 - 9*n**2/2 + 144*n - 2. Factor r(a).
-(a - 18)*(a - 4)/8
Let h(o) = 30*o + 2074. Let i be h(-69). Let t(x) be the second derivative of 4*x - 11/24*x**i - 1/180*x**6 - 10/9*x**3 + 0 - 4/3*x**2 - 1/12*x**5. Factor t(r).
-(r + 1)**2*(r + 4)**2/6
Suppose 514 = 7*a + 493. Let j(n) be the first derivative of -1/7*n**4 + 7 - 6/7*n**2 + 4/7*n**a + 4/7*n. Factor j(g).
-4*(g - 1)**3/7
Let m(h) = h**2 - 5*h - 20. Let v be m(8). Factor 2*s + v + 6*s**3 + 9*s**3 - s**3 - 4*s**2 - 16*s**3.
-2*(s - 1)*(s + 1)*(s + 2)
Suppose -576*w + 22*w = 0. Let s(i) be the second derivative of -1/12*i**3 - 1/2*i**2 + w + 1/24*i**4 + 22*i. Find o, given that s(o) = 0.
-1, 2
Let j(q) be the second derivative of 6/35*q**5 - 63 - 4/7*q**3 - 8/21*q**4 + 2*q**2 - 2*q + 2/105*q**6. What is o in j(o) = 0?
-7, -1, 1
Let g(v) be the second derivative of v**6/150 - 51*v**5/100 + 33*v**4/20 - 49*v**3/30 - 3278*v. Factor g(u).
u*(u - 49)*(u - 1)**2/5
Let b(i) be the first derivative of 2*i**5/5 - 11*i**4/2 - 60*i**3 + 1100*i**2 - 2000*i - 360. Factor b(h).
2*(h - 10)**2*(h - 1)*(h + 10)
Factor -r**2 + 4*r + 2*r**3 + 135*r - 161*r + 21*r**2.
2*r*(r - 1)*(r + 11)
Let k(m) = -6*m - 64. Let l be k(-11). Let b(c) = c**3 + 3*c**2 + 2*c - 1. Let x(z) = 3*z**3 + z**2 + 1. Let f(u) = l*x(u) - 2*b(u). Factor f(w).
4*(w - 1)**2*(w + 1)
Let i = 99 + -93. Factor -i*s**3 - 21*s**2 + 16*s**2 - 3*s**4 + 2*s**2.
-3*s**2*(s + 1)**2
Let s(u) = -u**2 + u + 3. Let o(r) = -5*r**2 - 55*r - 46. Let x(m) = -o(m) + 4*s(m). What is h in x(h) = 0?
-58, -1
Suppose 0 = 5*s + 7*s - 24. Suppose 0 = w - 4*v - 5 - 15, -s*w - 4*v = 20. Factor -r**4 + w*r + 0 - 2/3*r**2 - 5/3*r**3.
-r**2*(r + 1)*(3*r + 2)/3
Let w(f) = f**4 - 5*f**3 + 8*f**2 - f. Let b(i) = 0*i**3 + 0*i**4 - 4*i**3 + 2*i + 3*i**4 - 6*i**4 + 10*i**3 - 9*i**2. Let m(n) = 3*b(n) + 4*w(n). Factor m(y).
-y*(y - 1)*(y + 1)*(5*y + 2)
Let j be (-40)/36 + 2/18. Let v be (-188)/28 + (2 - (j - 4)). Find x, given that v*x**4 + 0 + 2/7*x - 2/7*x**3 - 2/7*x**2 = 0.
-1, 0, 1
Let z be (-32)/(-5) - 6/15 - -1. Let c = 10 - z. Factor m**3 - 2*m**c - 2*m + 0*m**3 - 4*m**2 + 3*m**3 + 4.
2*(m - 2)*(m - 1)*(m + 1)
Let y be (-4)/(-82) + (-21 - -181)*5/410. Factor -39/8*m - 45/8*m**y + 3/4.
-3*(m + 1)*(15*m - 2)/8
Let r(l) be the second derivative of 5*l**4/12 - 1445*l**3/6 - 1455*l**2 - 2*l - 409. Factor r(u).
5*(u - 291)*(u + 2)
Find p, given that 1922/17*p**2 - 126/17*p + 2/17*p**4 + 126/17*p**3 - 1924/17 = 0.
-37, -26, -1, 1
Let p(z) be the third derivative of z**8/168 - 19*z**7/35 + 53*z**6/15 + 8*z**5/15 - 72*z**4 + 848*z**3/3 - 691*z**2. Factor p(y).
2*(y - 53)*(y - 2)**3*(y + 2)
Let k(x) be the third derivative of 8*x**7/735 - x**6/12 - 22*x**5/21 - 5*x**4/4 + 24*x**3/7 + 922*x**2 + 1. Let k(z) = 0. Calculate z.
-3, -1, 3/8, 8
Let p = 6890/10057 - 72/89. Let s = 776/791 + p. Factor -6/7 + s*w**2 - 3/7*w + 3/7*w**3.
3*(w - 1)*(w + 1)*(w + 2)/7
Let a(h) be the second derivative of h**6/6 + 17*h**5/4 - 235*h**4/2 + 1780*h**3/3 - 1120*h**2 + 8177*h. Find g, given that a(g) = 0.
-28, 1, 2, 8
Let x = -408598 + 1634393/4. Factor 3/2 - 5/4*w + x*w**2.
(w - 3)*(w - 2)/4
Solve 942/5*s + 148/5*s**2 - 2/5*s**3 + 288 = 0 for s.
-3, 80
Let w(n) = -23*n**2 + 530*n - 283*n - 1 - 267*n - 2*n**3 + 0*n**3. Let o(f) = f**2 + 1. Let s(c) = o(c) + w(c). Factor s(a).
-2*a*(a + 1)*(a + 10)
Let r = -2286249/250 - -9145. Let j(c) be the second derivative of -r*c**5 - 1/50*c**4 + 21*c + 0 - 1/25*c**2 - 1/25*c**3. Factor j(a).
-2*(a + 1)**3/25
Suppose -1976 + 3053 = 1916*o - 1817 - 4770. Factor 10/3*z**5 + 0 + o*z**4 + 0*z**2 + 0*z + 2/3*z**3.
2*z**3*(z + 1)*(5*z + 1)/3
Suppose -3231 = -4*x + 393. Solve s**2 + 144 + 470*s - x*s + 460*s = 0 for s.
-12
Let r = 98 - 96. Determine f so that -4*f + 32*f**2 - 41*f**3 - 108*f**r + 48*f**2 + 28*f**4 = 0.
-2/7, -1/4, 0, 2
Let -9*f**2 + 2100 - 270*f + 3/2*f**3 = 0. Calculate f.
-14, 10
Let u = 223687/99420 - -2/24855. Let o(f) be the first derivative of -3*f + 0*f**3 - 2 - u*f**2 + 3/8*f**4. Solve o(i) = 0.
-1, 2
Let m(r) = -10*r**2 - 30*r + 40. Suppose -3*p - 4*a - 21 = 0, 4*p + 3*a + 6 = 5*p. Let b(n) = -n**2 - 4*n + 5. Let l(g) = p*m(g) + 25*b(g). Factor l(s).
5*(s - 1)**2
Let n(h) be the third derivative of -h**5/30 + 25*h**4/6 - 544*h**3/3 - 14059*h**2. Let n(q) = 0. Calculate q.
16, 34
Let i(f) be the second derivative of -3*f**5/80 - 235*f**4/48 + 79*f**3/12 + f - 140. Factor i(l).
-l*(l + 79)*(3*l - 2)/4
Let p = 344 - 184. Let n be 1/(4/(p/4)). Factor n*g + g - 5 + 3 - 7*g - 2*g**2.
-2*(g - 1)**2
Let p(o) be the first derivative of o**4/34 + 116*o**3/51 - 61*o**2/17 - 236*o/17 - 2152. Suppose p(w) = 0. Calculate w.
-59, -1, 2
Let k be 7/(980/(-7))*-6. Let f be 0 - ((-66)/220)/(6/8). What is v in f*v - 2/5*v**3 + k - 1/10*v**4 - 1/5*v**2 = 0?
-3, -1, 1
Let z be 1200/11000 + 3/(-330). Suppose k + 11/10 - z*k**2 = 0. Calculate k.
-1, 11
Suppose -278*v + 446*v = -475*v + 1286. Factor -4/5*n**3 + 12/5*n + 72/5 - 16/5*n**v.
-4*(n - 2)*(n + 3)**2/5
Let s(h) be the second derivative of h**7/42 - 7*h**6/6 - h**5/5 + 35*h**4/3 + 2279*h. Factor s(n).
n**2*(n - 35)*(n - 2)*(n + 2)
Let y be 963/4494 - 2019/(-378). Factor 98/9*l**2 + y + 140/9*l.
2*(7*l + 5)**2/9
Let t(i) be the second derivative of 1/36*i**3 + 1/360*i**5 - 5*i + 0 - 4*i**2 - 1/72*i**4. Let x(z) be the first derivative of t(z). Factor x(b).
(b - 1)**2/6
Let f = -5364 + 5364. Let n(o) be the first derivative of 40 - 5/4*o**4 - 5/3*o**3 + o**5 + f*o + 5/2*o**2. Factor n(x).
5*x*(x - 1)**2*(x + 1)
Let r(u) be the second derivative of -u**6/6 + 13*u**5 - 1285*u**4/4 + 2040*u**3 - 4320*u**2 - 34*u. What is l in r(l) = 0?
1, 3, 24
Let y(g) = -g**3 - 21*g**2 - 144*g - 346. Let l be (-1)/((42/18)/(-7)). Let m(d) = -d**3 - 21*d**2 - 143*d - 347. Let h(o) = l*m(o) - 4*y(o). Factor h(p).
(p + 7)**3
Let y(w) be the second derivative of w**5/70 + w**4/14 - 46*w**3/21 + 72*w**2/7 - 2*w + 1612. What is x in y(x) = 0?
-9, 2, 4
Suppose -29 + 2383 = 11*y. Factor -y*c**2 + 862*c**2 - 414*c**2 - 3*c**3 + 52728 - 6084*c.
-3*(c - 26)**3
Let g(u) = -11*u + 114. Suppose d + 4*f - 5 = 9*f, 3*d - 4*f = 26. Let a be g(d). Suppose 0 + 74/9*k**3 - 104/9*k**2 + 8/3*k - 14/9*k**a = 0. Calculate k.
0, 2/7, 2, 3
Let l(r) be the second derivative of 2/15*r**4 - 7*r - 1/25*r**5 + 0 + 14/15*r**3 + 8/5*r**2. Factor l(t).
-4*(t - 4)*(t + 1)**2/5
Let h(p) be the third derivative of 16*p**7/315 + 134*p**6/45 - 277*p**5/30 + 157*p**4/18 - 35*p**3/9 + 1036*p**2. Solve h(g) = 0.
-35, 1/4, 1
Let f(j) = 10 - 4 - 24*j**2 - 16*j + j**3 + 0. Let o(c) = c**3 + c**2 - c. Let b(x) = 2*f(x) + 6*o(x). Factor b(a).
2*(a - 6)*(a + 1)*(4*a - 1)
Let 403*n**2 + 20*n**3 + 237*n**2 + 368*n**2 + 2068*n + 7*n**3 + 2732*n - 3*n**4 = 0. What is n?
-8, 0, 25
Let f(r) be the second derivative of -r**7/126 + r**6/30 - r**5/30 - 1683*r. Factor f(a).
-a**3*(a - 2)*(a - 1)/3
Let k = 48345 - 48342. Factor 0 - 2/7*t**k - 36/7*t**2 + 38/7*t.
-2*t*(t - 1)*(t + 19)/7
Let s(p) be the first derivative of -p**5/20 + 7*p**4 - 392*p**3 + 99*p**2/2 - 125. Let c(u) be the second derivative of s(u). Suppose c(j) = 0. Calculate j.
28
Let z(d) be the second derivative of d**5/25 + 109*d**4/15 - 224*d**3/5 - 7428*d. Factor z(c).
4*c*(c - 3)*(c + 112)/5
Let i(h) = -h**2 - 579*h - 1725. Let o be i(-3). Determine n so that 0*n**2 - 2/19*n**o + 14/19*n + 12/19 = 0.
-2, -1, 3
Let o(l) be the second derivative of 205*l - 1/24*l**4 + 2/3*l**3 + 0 + 5*l**2. Factor o(k).
-(k - 10)*(k + 2)/2
Factor 7*f**3 + 3396288*f - 3*f**3 - 432*f**2 + 861904617 + 342645527 + 3624*f**2 - 3*f**3.
(f + 1064)**3
Let c = 1585/4944 - -21/1648. Let -c*u**2 + 2/9*u**3 + 2/9 - 1/3*u = 0. What is u?
-1, 1/2, 2
Suppose 0 = 3*c - 8*c - 10, -3*j + 25 = -5*c. Let n(o) be the second derivative of 0 - 2/55*o**j + 14*o + 5/11*o**3 - 18/11*o**2 + 2/33*o**4. Factor n(u).
-2*(u + 2)*(2*u - 3)**2/11
Let z(u) be the first derivative of -143 + 56/5*u**3 + 0*u - 5/4*u**4 - 72/5*u**2 + 1/25*u**5. Factor z(w).
w*(w - 12)**2*(w - 1)/5
Let l(u) be the first derivative of -u**3 - 114*u**2 - 225*u - 2128. Solve l(p) = 0 for p.
-75, -1
Let o(p) be the third derivative of 1/280*p**6 + 0*p**3 + 14 + 0*p**4 + p**2 - 1/35*p**5 + 0*p. Solve o(a) = 0 for a.
0, 4
Let i(s