+ 0 + 0*i**2 - 1/360*i**6 + 7*i - 1/12*i**4 - 11/6*i**3. Let m(k) be the second derivative of t(k). Factor m(w).
-(w - 2)*(w - 1)
Suppose 2*u**3 - 448794*u + 5*u**3 - 116*u**2 + 448674*u - 3*u**3 = 0. Calculate u.
-1, 0, 30
Let i be ((-153)/(-18) - 8)*(21 - 3). Suppose -4*x + i = w, 5*x + 17 = 4*w + 44. Factor -16/7 - 8*c - 44/7*c**2 - 10/7*c**x.
-2*(c + 2)**2*(5*c + 2)/7
Let s(i) be the second derivative of i**9/7560 + i**8/1120 + i**7/630 + 37*i**4/12 - 2*i**3/3 + 18*i + 1. Let b(k) be the third derivative of s(k). Factor b(x).
2*x**2*(x + 1)*(x + 2)
Suppose 5*f + y - 11 = 0, f = -4*y + 2*y + 4. Suppose f*t - 6*t = -80. Factor -4 - 4*q**2 + 6 - 2 - t*q.
-4*q*(q + 5)
Let l(t) be the first derivative of 1/6*t**3 - 21/2*t**2 - 58 + 441/2*t. Factor l(d).
(d - 21)**2/2
Let s(y) be the second derivative of -y**6/10 - 117*y**5/20 + 21*y**4/2 + 40*y**3 - 8*y + 193. Factor s(p).
-3*p*(p - 2)*(p + 1)*(p + 40)
Let c(z) be the third derivative of -z**5/80 - 7*z**4/8 + 93*z**3/8 + 87*z**2 + 14*z. Factor c(m).
-3*(m - 3)*(m + 31)/4
Determine a so that -410/7 + 409/7*a + 1/7*a**2 = 0.
-410, 1
Determine c so that 14*c**2 + 128/9 + 256/9*c - 2/9*c**4 - 4/9*c**3 = 0.
-8, -1, 8
Let q(k) = -13*k - 198. Let o be q(-11). Let y be (-253)/o + 3/(-5). Suppose -12/5*z**3 - 4/5*z**y - 12/5*z**2 + 0 - 4/5*z = 0. What is z?
-1, 0
Factor 510/11 + 16*a + 2/11*a**2.
2*(a + 3)*(a + 85)/11
Let u be 3771/3*(9 - 8). Suppose q = -u + 1260. Factor -o**q + o + 1/2*o**2 + 0 - 1/2*o**4.
-o*(o - 1)*(o + 1)*(o + 2)/2
Factor 3/4*i**5 - 57/2*i**2 - 45/4 - 9/2*i**3 + 15/4*i**4 - 129/4*i.
3*(i - 3)*(i + 1)**3*(i + 5)/4
Determine l so that -159*l + 10 + l**2 + 38 + 177*l + 3*l**4 - 18*l**3 - 52*l**2 = 0.
-2, -1, 1, 8
Let p = 384 + -389. Let f be p/(-30)*-3*-6. Factor 16/3*v**2 - 4/3*v**f + 8/3 - 20/3*v.
-4*(v - 2)*(v - 1)**2/3
Let x = 558 + -515. Find m such that 54*m**2 + 208*m**2 - x*m - 198*m**3 - 270*m**4 + 7*m**3 - 41*m + 8 + 275*m**5 = 0.
-1, 2/11, 2/5, 1
Let h be (-154)/2772 + 1298/36. Let i(r) be the first derivative of -1/5*r**5 + r**3 - h + 1/2*r**2 - 1/4*r**4 - 2*r. Determine t, given that i(t) = 0.
-2, -1, 1
Let q(c) = -c**3 - 12*c**2 - 10*c + 17. Let x be q(-11). Suppose x*o - 5*o - 2 = 0. Let -2*u**o + u**2 + 11*u**2 + u**3 = 0. Calculate u.
-10, 0
Solve 300/13 - 10/13*q - 2/13*q**2 = 0.
-15, 10
Let d be 1 + (-21)/28 + (-2029)/52. Let o = d + 6061/156. Factor -o*p**3 - 1/6*p**2 + 0*p + 0.
-p**2*(p + 2)/12
Let n = -23 + 44. Let t be n*(48/(-14))/(-4). Factor -5*m**2 - 5*m - 2*m - 30 - t*m + 0*m**2.
-5*(m + 2)*(m + 3)
Find g, given that 132/7*g**2 - 6/7*g**3 - 534/7*g + 408/7 = 0.
1, 4, 17
Factor 2/11*l**3 + 174/11*l - 270/11 - 34/11*l**2.
2*(l - 9)*(l - 5)*(l - 3)/11
Let j be 8 - (16/216 - 694/(-108)). Let h(m) be the first derivative of 9 + 0*m + j*m**2 + m**3. Let h(i) = 0. Calculate i.
-1, 0
Let b = 17568 - 17566. Let f(t) be the third derivative of 1/90*t**5 - 9*t**b + 0 + 0*t - 1/360*t**6 - 1/72*t**4 + 0*t**3. Suppose f(v) = 0. Calculate v.
0, 1
Let z(p) be the third derivative of p**5/6 + 43*p**4/12 + 92*p**3/3 + 2511*p**2. Determine w so that z(w) = 0.
-23/5, -4
Let a = -34305 - -68611/2. Find y, given that -3/2*y + a*y**2 - 2 = 0.
-1, 4
Let w(s) be the first derivative of 4*s**5/5 + 29*s**4/5 - 12*s**3 - 34*s**2/5 + 112*s/5 - 3892. What is t in w(t) = 0?
-7, -4/5, 1
Let i(c) = 93*c**3 + c**2 - 3*c + 1. Let n be i(2). Solve -88*l + 371 + 4*l**2 + 372 - n = 0 for l.
0, 22
Let u be 130/120 - ((-9)/30)/((-18)/45). Let p(n) be the second derivative of 0 - 4*n - 10/3*n**3 - u*n**4 - 8*n**2. Factor p(j).
-4*(j + 1)*(j + 4)
Suppose 44*c - 60*c + 24 = -40. Let t(l) be the third derivative of 1/72*l**c + 1/360*l**6 + 1/3*l**3 - 15*l**2 + 0*l - 1/45*l**5 + 0. What is y in t(y) = 0?
-1, 2, 3
Let v(g) = 78*g**3 + 1317*g**2 + 2620*g + 1373. Let l(n) = -623*n**3 - 10537*n**2 - 20960*n - 10975. Let i(s) = -6*l(s) - 50*v(s). Factor i(p).
-2*(p + 14)*(9*p + 10)**2
Suppose 8379*y - 8724*y + 1380 = 0. Let -3/8*p**y + 15/4*p - 9/2*p**2 + 9/4*p**3 - 9/8 = 0. What is p?
1, 3
Let t(w) = -7*w - 27. Let n be t(-5). Find l, given that 7*l - 3*l**2 - n*l + 19*l - 30 + 15*l = 0.
1, 10
Let p(z) = -z**2 - 127*z + 1520. Let o be p(11). Solve o*y**3 - y**2 + 0 + 5/4*y**4 + 0*y = 0 for y.
-2, 0, 2/5
Let y(a) be the second derivative of -1/42*a**4 + 12*a + 0 + 1/7*a**3 + 0*a**2. Factor y(d).
-2*d*(d - 3)/7
Suppose -56 - 14 = -35*m. Let a(p) = -8*p**2 - 8*p**3 - 5 - 5 + 25*p + 1. Let h(v) = 2*v**3 + 2*v**2 - 6*v + 2. Let r(c) = m*a(c) + 9*h(c). Factor r(t).
2*t*(t - 1)*(t + 2)
Suppose 2/3*j**3 - 28*j**2 - 88/3 - 58*j = 0. Calculate j.
-1, 44
Let q(d) = -d**3 - d**2 - 6*d - 6. Let j be q(-1). Let r(b) be the first derivative of -15/2*b**2 - 22 - 3/20*b**4 + 2*b**3 + j*b. Find y such that r(y) = 0.
0, 5
Factor 1/7*i**3 - 24*i**2 + 6885/7*i + 14450/7.
(i - 85)**2*(i + 2)/7
Let b be 6/(-36) + (487 - 471)*2/48. Factor -57*g + b*g**2 + 3249/2.
(g - 57)**2/2
Factor 180/7 - 2/7*n**3 + 8/7*n**2 + 102/7*n.
-2*(n - 10)*(n + 3)**2/7
Let r(p) be the third derivative of -p**6/24 - 13*p**5/4 + 25*p**4/3 - 2*p**2 + 801. Let r(t) = 0. What is t?
-40, 0, 1
Let i be (19 - (-560)/(-30))/((-4)/(-24)). Factor 8/7 + 2/7*m**3 - i*m + 4/7*m**2.
2*(m - 1)**2*(m + 4)/7
Factor -9/5*o + 1/10*o**2 + 13/2.
(o - 13)*(o - 5)/10
Determine p, given that -348*p**2 + 9*p - 10 - 345*p**2 - 20*p**3 + 703*p**2 + 6*p - 9*p**5 + 14*p**5 = 0.
-2, -1, 1
Let r = 628 + -627. Let s(v) = -9*v**5 - 6*v**4 + 21*v**3 + 48*v**2 - 60*v + 6. Let j(p) = -p**5 + p**4 - p**3 + 1. Let z(y) = r*s(y) - 6*j(y). Solve z(i) = 0.
-5, -2, 0, 1, 2
Let z(m) = 993*m**2 - 5*m + 7. Let v be z(2). Factor -v*a**3 + 2*a**2 + 3971*a**3 + a**4 - 2*a - 3*a**2.
a*(a - 1)*(a + 1)*(a + 2)
Let s(n) = n**4 + 22*n**3 + 233*n**2 - 52*n - 234. Let p(y) = y**4 + 47*y**3 + 468*y**2 - 102*y - 469. Let b(h) = 6*p(h) - 11*s(h). Suppose b(v) = 0. What is v?
-4, -1, 1, 12
Let g be 48/26 - (-40)/260. Let w(r) be the third derivative of -1/45*r**5 + 4/9*r**3 - 21*r**g - 1/18*r**4 + 0*r + 0. Solve w(f) = 0 for f.
-2, 1
Let a(c) be the first derivative of -c**6/15 + c**5/5 + 2*c**4 - 8*c**3/3 - 32*c**2 + 99*c + 118. Let h(j) be the first derivative of a(j). Factor h(u).
-2*(u - 4)*(u - 2)*(u + 2)**2
Factor 20*y - 62/3*y**2 + 2/3*y**3 + 0.
2*y*(y - 30)*(y - 1)/3
Factor -2/19*c**2 - 770/19*c - 1532/19.
-2*(c + 2)*(c + 383)/19
Let u(o) = -258*o**5 - 1281*o**4 - 2607*o**3 - 2319*o**2 - 768*o - 30. Let g(p) = -p**5 + p**4 - p**3 - p**2 - 2. Let h(i) = -15*g(i) + u(i). Factor h(k).
-3*k*(3*k + 4)**4
Let w = -40231/12 - -72937/36. Let k = w + 1327. Determine y, given that -16/9 + k*y**2 + 0*y = 0.
-2, 2
Let a = -43 - -51. Suppose -b - 28 = -a*b. Factor -7*j + 0*j**2 - 9 + b*j - 18*j - 3*j**3 - 15*j**2.
-3*(j + 1)**2*(j + 3)
What is v in 1539/2*v**2 - 3/4*v**5 + 45/2*v**4 + 3159/4*v + 0 + 243*v**3 = 0?
-3, 0, 39
Suppose -8*c - r - 5 = -10*c, 5*r = -c - 3. Suppose -15 = -5*n - c*d, -2*d - 9 = -3*n + d. Factor 1/2*o**n + 3/2*o - 3/2*o**2 - 1/2.
(o - 1)**3/2
Let w(a) = 3*a**2 - 19*a - 12. Let r be w(7). What is c in 121*c**r + 4*c**3 - 76*c - 137*c**2 + 11 - 67 = 0?
-2, -1, 7
Let b(d) be the first derivative of d**3 + 1998*d**2 + 1330668*d + 2605. Let b(a) = 0. What is a?
-666
Let m(v) be the first derivative of -6*v**5/7 + 39*v**4/28 + 3*v**3/7 - 15*v**2/14 - 3*v/7 + 2240. Let m(y) = 0. Calculate y.
-1/2, -1/5, 1
Suppose 9*d - 14*d = -1010. Let c = d + -202. Factor -3/5*h**3 - 6/5*h**2 - 3/5*h + c.
-3*h*(h + 1)**2/5
Let m(v) = -16*v - 62. Let a be m(-4). Suppose p + 2*p = 2*i + 2, -10 = -3*i - a*p. Factor 1/7*g**4 + 0 + 0*g**i + 0*g - 1/7*g**3.
g**3*(g - 1)/7
Solve 8/7 - 90/7*c**2 - 176/7*c = 0.
-2, 2/45
Factor -224/11*s**3 - 6272/11*s**2 - 2/11*s**4 + 0 + 0*s.
-2*s**2*(s + 56)**2/11
Let a = 13 - -748. Determine j, given that a*j + 3*j**3 - 7*j**3 + 0*j**5 - 761*j - 8*j**4 - 4*j**5 = 0.
-1, 0
Let z(m) be the third derivative of -m**8/3360 - 19*m**7/1050 - 71*m**6/600 - 26*m**5/75 - 137*m**4/240 - 17*m**3/30 - 2917*m**2. Factor z(t).
-(t + 1)**4*(t + 34)/10
Let j = -16 + 19. Let t(f) = 7*f + 8*f**4 + 3*f**2 - 4 - 4*f + 2*f**j + 0 - 2*f**4. Let m(s) = s**4 + s. Let h(a) = 14*m(a) - 2*t(a). Factor h(g).
2*(g - 2)**2*(g + 1)**2
Let c(q) be the first derivative of -252*q**5/5 + 157*q**4 - 136*q**3/3 - 104*