ivative of -14*d**6/5 + 333*d**5/25 + 651*d**4/20 - 111*d**3/5 - 567*d**2/10 + 104. Find y such that s(y) = 0.
-9/7, -1, 0, 1, 21/4
Factor 8/13*j**3 - 714/13*j**2 + 15660/13*j + 12150/13.
2*(j - 45)**2*(4*j + 3)/13
Let h(m) = 2*m + 4. Let u be h(-1). Suppose -10*k - 60 + 4*k**2 + u*k**2 - k**2 + 5*k = 0. What is k?
-3, 4
Determine p so that -38382*p**2 + 38406*p**2 - 3*p**5 - 137*p**3 + 131*p**3 - 15*p**4 = 0.
-4, -2, 0, 1
Let w be (-4)/(-35)*(180/432)/((-6)/(-36)). Factor 2/7*s + w*s**2 - 12/7.
2*(s - 2)*(s + 3)/7
Let q = 77996 - 77992. Factor -5/4*w**2 - 7/4*w**q + 0*w + 0 - 1/4*w**5 - 11/4*w**3.
-w**2*(w + 1)**2*(w + 5)/4
Suppose -35*s - 118 + 386 = -145 - 77. Suppose -63/2*m + 9 - 3/2*m**3 + s*m**2 = 0. Calculate m.
1/3, 3, 6
Find v such that 132940*v - 103959080 - 137*v**4 - 3475*v**3 + 86259*v**2 + 5*v**5 - 143*v**4 + 245071*v**2 = 0.
-23, 34
Let k(b) be the third derivative of 22*b**7/735 + 71*b**6/210 + 54*b**5/35 + 74*b**4/21 + 80*b**3/21 - 282*b**2 - b. Factor k(w).
4*(w + 2)**3*(11*w + 5)/7
Let i(m) = 45*m**2 + 122*m + 80. Suppose 0 = -6*q + 12*q - 12. Let x(l) = l. Let v(w) = q*x(w) - i(w). Factor v(d).
-5*(3*d + 4)**2
Factor -9/5*t - 54/5 + 3/5*t**2.
3*(t - 6)*(t + 3)/5
Let z(x) = x**2 + x - 4. Let m(a) = -12 - 250*a**2 + 123*a**2 + 130*a**2 + 2*a. Let w(c) = 4*m(c) - 11*z(c). Solve w(k) = 0.
-1, 4
Factor 10506*s**2 + 88434 + 614/3*s**3 + 182070*s + 4/3*s**4.
2*(s + 51)**3*(2*s + 1)/3
Let n be (-96)/10 + 22 + -18 + 11. Factor 42/5 - n*g + 3/5*g**3 - 18/5*g**2.
3*(g - 7)*(g - 1)*(g + 2)/5
Let o(s) be the first derivative of 2*s**3/15 + 148*s**2/5 + 294*s/5 - 3348. Factor o(b).
2*(b + 1)*(b + 147)/5
Let h(y) be the first derivative of 9*y**5/20 + 231*y**4/8 - 105*y**3/4 - 39*y**2/2 - 302. Find d such that h(d) = 0.
-52, -1/3, 0, 1
Suppose -44022 = 5*i - 44032. Suppose 0 = 3*o - 2*k + 5 + 3, 0 = 3*o + 3*k - 12. Find m such that -2/5*m**3 - 1/5*m**4 + o + 4/5*m**i + 8/5*m = 0.
-2, 0, 2
Suppose -3*d + 190 = 5*k, -3*d + 64 = 3*k - 56. Suppose k*t - 7 = 34*t. Factor t*g - g**2 - 14 + 4 + 4 + 0.
-(g - 6)*(g - 1)
Let l(g) = 65*g**4 + 454*g**3 + 239*g**2 - 18*g + 4. Let j(a) = 67*a**4 + 459*a**3 + 238*a**2 - 19*a + 5. Let t(o) = 4*j(o) - 5*l(o). Find r such that t(r) = 0.
-7, -2/3, 0, 1/19
Suppose -433/2*r + 46 + 3/4*r**5 + 1089/4*r**2 + 47/4*r**4 - 457/4*r**3 = 0. Calculate r.
-23, 1/3, 1, 2, 4
Let h = -96 + 237. Let j = h + -138. Factor 4 - 4 + j*d**2 + 15*d + 12.
3*(d + 1)*(d + 4)
Suppose -51*y**3 - 20601/2*y + 21*y**4 - 1/2*y**5 - 3758*y**2 + 35721 = 0. Calculate y.
-7, 2, 27
Suppose 5*n - n = 8. Let f(d) be the first derivative of d**2 - d**2 + 11 - 6*d**n - 8*d - 4*d - d**3. Suppose f(v) = 0. What is v?
-2
Let w(v) = -22*v - 64. Let q be w(-3). Suppose -78*g + 81*g + 2*g**5 - 13*g**2 - 17*g**3 + 4 - g**4 - q*g**4 = 0. Calculate g.
-1, 1/2, 4
Let r(o) be the second derivative of o**8/980 + o**7/280 + o**6/420 - o**5/280 - 49*o**3/2 + 146*o. Let x(h) be the second derivative of r(h). Factor x(m).
3*m*(m + 1)**2*(4*m - 1)/7
Suppose -2/15*i**2 - 13230368/15 + 10288/15*i = 0. Calculate i.
2572
Suppose 0 = -9*u + 7*u - 2*t + 358, 4*t + 676 = 4*u. Factor -24*h**4 - 204*h**2 + 38*h**3 - 164*h**3 - 3*h**5 - u*h + 54*h - 9*h**4.
-3*h*(h + 2)**3*(h + 5)
Let s be (-9)/(-300)*40 - 14/(-5). Factor 9/2*g**2 - 6*g**3 + 0 - g + 2*g**s.
g*(g - 2)*(2*g - 1)**2/2
Let g(c) = -c**3 + 4 - 2 + 0 + 5*c + 28*c**2 - 32*c**2. Let x be g(-5). Factor 4*w**3 - 5*w + 43*w - x*w**3 + 18 + 22*w**2.
2*(w + 1)**2*(w + 9)
Let z(g) = -g**3 - 11*g**2 + 12*g + 3. Suppose -46*a = 567 - 15. Let k be z(a). Factor 0*c**4 + 0 + 1/4*c**k + 0*c**2 - 1/4*c**5 + 0*c.
-c**3*(c - 1)*(c + 1)/4
Let q = 108 - 102. Factor -11*f + 8*f**2 + 2*f**4 - q*f**4 - 5*f + 2*f**4 + 4*f**3.
-2*f*(f - 2)**2*(f + 2)
Suppose 4*i - 2*i = m + 1060, -4*i - 5*m = -2120. Let n = i + -279. Find l, given that -l**2 + l**2 - 3*l**2 + 248*l**3 - n*l**3 = 0.
-1, 0
Let v be (2 - (-5 + -3)) + (-3)/((-6)/(-20)). Suppose v + 0*q**2 + 2/3*q**3 - 1/3*q - 1/3*q**5 + 0*q**4 = 0. What is q?
-1, 0, 1
Let i = -71626 + 71626. Factor i*z + 5/2*z**2 - 5/2.
5*(z - 1)*(z + 1)/2
Determine k, given that 3*k**2 + 23 + 89 - 108*k + 29*k + 2 - 38*k = 0.
1, 38
Let u(l) be the first derivative of 1/2*l**4 - 40*l + 29*l**2 + 69 - 20/3*l**3. Factor u(n).
2*(n - 5)*(n - 4)*(n - 1)
Let v(a) be the second derivative of -a**6/75 - 3*a**5/5 - 14*a**4/15 + 2*a**3 + 29*a**2/5 + 947*a. Suppose v(q) = 0. Calculate q.
-29, -1, 1
Factor -768*b - 304 - 180*b**2 - 4*b**4 - 190*b**2 - 258*b**2 - 168*b**3.
-4*(b + 1)**2*(b + 2)*(b + 38)
Let 69*v - 56 - 102 - v**2 - 202 - 2*v**2 = 0. Calculate v.
8, 15
Let o = 57 - 23. Let -327*r**2 + 9072*r - 2335 - 1186 - o*r**3 - 6925 + 1698 + 37*r**3 = 0. Calculate r.
1, 54
Let i(a) = a**3 - 12*a**2 - 92*a + 55. Let s = -232 - -239. Let d(g) = -g**3 + 6*g**2 + 46*g - 27. Let h(x) = s*d(x) + 3*i(x). Factor h(j).
-2*(j - 4)*(j + 3)*(2*j - 1)
Let d = 1205884/3 - 401959. Let 11/3*l + 1/3*l**3 + 5/3 + d*l**2 = 0. Calculate l.
-5, -1
Let s be 165/1210*(-2 + 13). Let 0 - s*k**5 + 0*k**2 - 3*k**4 + 0*k - 3/2*k**3 = 0. Calculate k.
-1, 0
Factor -1/5*x**4 - 13448/5*x + 0 + 162/5*x**3 - 6396/5*x**2.
-x*(x - 82)**2*(x + 2)/5
Let w(h) be the third derivative of 1/330*h**5 + 0*h + 0 - 102*h**2 - 2/33*h**3 - 1/132*h**4. Let w(u) = 0. What is u?
-1, 2
Let l(n) be the first derivative of n**7/42 - n**6/3 + 5*n**5/4 + 53*n**2/2 - 47. Let r(s) be the second derivative of l(s). Find x such that r(x) = 0.
0, 3, 5
Factor -258/5*q + 256/5*q**2 + 2/5*q**3 + 0.
2*q*(q - 1)*(q + 129)/5
Let k(y) be the first derivative of y**5/40 + 155*y**4/32 - 13*y**3/2 + 1291. Factor k(t).
t**2*(t - 1)*(t + 156)/8
Let k(z) be the second derivative of -2/45*z**5 + 0 + 2/9*z**2 + 1/9*z**3 + 0*z**6 + 47*z - 1/27*z**4 + 1/189*z**7. Factor k(i).
2*(i - 2)*(i - 1)*(i + 1)**3/9
Let u(o) be the third derivative of -o**7/140 - o**6/2 - 149*o**5/40 - 91*o**4/8 - 18*o**3 + o**2 - 2518*o - 1. Suppose u(q) = 0. What is q?
-36, -2, -1
Let a(q) be the first derivative of 8/5*q + 116*q**2 + 8410/3*q**3 + 175. Factor a(w).
2*(145*w + 2)**2/5
Let j = -519 + 601. Let r be j/5 + (-5 - (-18)/6). Factor -144/5 + r*o + 2/15*o**3 - 12/5*o**2.
2*(o - 6)**3/15
Let 40*r**2 - 171 + 22 + 55*r + 49 + 5*r**3 = 0. Calculate r.
-5, -4, 1
Let a(y) = -10*y**2 + 6 + 4*y**2 + 10*y - 2*y + y**3 - 11. Let l(f) = -f**3 + 8*f**2 - 9*f + 6. Let x(q) = -6*a(q) - 5*l(q). Factor x(b).
-b*(b + 1)*(b + 3)
Let q be 1467/(-72) + (-42)/(-2). Determine h so that 1/8*h**3 - 3/8 + 7/8*h - q*h**2 = 0.
1, 3
Let w(q) be the first derivative of -q**4/10 - 2*q**3/3 + 2*q**2/5 + 48*q/5 + 409. Factor w(o).
-2*(o - 2)*(o + 3)*(o + 4)/5
Let m = -3/111155 + -265771593/444620. Let b = m + 598. Suppose 1/8*h**2 - 3/8*h + b = 0. Calculate h.
1, 2
Suppose -5*b - 25 = 5*m, 13*b - 5*m + 35 = 8*b. Let p be 4/b + (-2499)/612 - -5. What is o in 3/4 - p*o**2 - 1/2*o = 0?
-3, 1
Let b(v) be the first derivative of v**5/15 - 3*v**4/2 - 107*v**3/9 - 30*v**2 - 92*v/3 - 1545. Determine a, given that b(a) = 0.
-2, -1, 23
Let b be -3 + 56/((-15)/(-595)*2). Let v = -1102 + b. Factor -1 - 3*z**2 + v*z - 5/3*z**3.
-(z - 1)*(z + 3)*(5*z - 1)/3
Let r(w) be the first derivative of -25*w**4/4 - 270*w**3 - 3360*w**2 - 2560*w - 1504. Factor r(l).
-5*(l + 16)**2*(5*l + 2)
Suppose -15 = -x - 2*x, 5*x = -i + 65. Let b(f) = 75*f - 287. Let j be b(20). Factor 29*z**4 + i*z**2 - 9*z**4 + 15*z - j*z**3 + 1138*z**3.
5*z*(z - 3)*(z - 1)*(4*z + 1)
Let l(q) = -5*q**3 + 2*q**2 - q. Let z(o) = 130*o**3 + 240*o**2 + 300*o - 570. Let d(c) = -25*l(c) - z(c). Find p, given that d(p) = 0.
-57, -2, 1
Suppose 4*o = -10 + 18. Factor -21*h - 16*h**o - 4 + 41*h + 5 - 5.
-4*(h - 1)*(4*h - 1)
Let w(s) be the third derivative of 1/60*s**5 + 0 + 0*s**3 + 0*s**4 + 20*s**2 + 0*s. Let u(h) = -4*h**2 + 8*h. Let k(p) = u(p) + 8*w(p). Factor k(f).
4*f*(f + 2)
Let n be (-5)/9 - (-1162)/2016. Let x(w) be the third derivative of -n*w**4 - 5*w**2 + 0*w + 1/240*w**6 + 0 - 1/12*w**3 + 1/120*w**5. Solve x(h) = 0 for h.
-1, 1
Let u(k) = 11*k - 12 - 2*k**3 - 22*k + 10*k**2 + 14*k. Let y be u(5). Factor -3 + 1 + 4*b**y - 4*b**5 + 2.
-4*b**3*(b - 1)*(b + 1)
Let o(h) be the third derivative of -h**6/480 - 7*h**5/120 - 2*h**2 + 330*h. Factor o(d).
-d**2*(d + 14)/4
Let q be 1100/(-200)