(v). Find f such that w(f) = 0.
0, 1, 110
Let h(d) be the first derivative of 6*d**5/5 - 117*d**4/4 + 180*d**3 + 150*d**2 - 41. Factor h(s).
3*s*(s - 10)**2*(2*s + 1)
Let d(j) be the first derivative of -5*j**4/4 - 3055*j**3/3 + 6125*j**2/2 - 3065*j - 4736. Let d(z) = 0. Calculate z.
-613, 1
Let k = 99 - 79. Let t be 1/(-3) + ((-780)/(-9))/k. Factor 25/2*b**2 + 5*b + 15/2*b**3 - 5/2*b**5 + 0 - 5/2*b**t.
-5*b*(b - 2)*(b + 1)**3/2
Let s(m) be the second derivative of -m**4/42 + 10*m**3/21 - 3*m**2 + 2283*m. Determine j, given that s(j) = 0.
3, 7
Let r = 1838755 - 1838753. Let -2*n + 1/3*n**3 + 13/3*n**4 + 5/3*n**5 + 0 - 13/3*n**r = 0. Calculate n.
-2, -1, -3/5, 0, 1
Let r(o) = 2*o**3 + 14*o**2 + 23*o + 163. Let b be r(-7). Let z(n) be the second derivative of 0*n**3 - 5/8*n**4 + 0*n**b - 13*n - 3/40*n**5 + 0. Factor z(t).
-3*t**2*(t + 5)/2
Let m(r) be the first derivative of -9*r**4/4 + 178*r**3 + 363*r**2/2 - 180*r + 1914. Find u such that m(u) = 0.
-1, 1/3, 60
Let p(i) = -i**3 - 2*i**2 + 2*i - 2. Let c be p(2). Let o be 98/(-2)*4/c. Find d such that 0*d**3 + o*d**4 + 6*d**3 + 0*d**3 - 6*d - 12*d**4 - 4 + 2*d**2 = 0.
-2, -1, 1
Let i be (-510)/(-918)*-4*1*36/(-88). What is s in 12/11*s**2 - 8/11*s**5 + 46/11*s**3 + 0*s - i*s**4 + 0 = 0?
-3, -1/4, 0, 2
Let h = -348210 + 348210. Factor h + 4/7*f**2 - 40/7*f.
4*f*(f - 10)/7
Let m(g) = -g + 46. Suppose 7*h - 34 = 5*h. Let o be m(h). Determine b so that -3*b + 27*b + b**2 - 6 - o*b = 0.
-1, 6
Let d = 439069/42 - 10454. Let u(c) be the second derivative of -d*c**3 - 1/84*c**4 + 18*c + 0*c**2 + 0. Factor u(v).
-v*(v + 1)/7
Let n(t) be the second derivative of -25*t**3 - 1/12*t**4 - 5625/2*t**2 - 3*t + 20. Factor n(z).
-(z + 75)**2
Suppose 3*g + r - 17 = 0, 10 - 3 = 3*g - 4*r. Factor -i**4 - 6*i**3 - 38*i**5 + 26*i**5 + 8*i + 13*i**g + 4*i**2.
i*(i - 2)**2*(i + 1)*(i + 2)
Let f(s) be the second derivative of s**6/2 - 107*s**5/15 - 241*s**4/36 + 106*s**3/9 - 10*s**2/3 + 731*s. Find t, given that f(t) = 0.
-1, 1/9, 2/5, 10
Let p(a) = -a**3 - 11*a**2 - 25*a - 4. Let m be p(-2). Let x(h) = h**3 - 11*h**2 + 13*h - 28. Let q be x(m). Factor 2/9*f**q - 2/9*f - 2/9 + 2/9*f**3.
2*(f - 1)*(f + 1)**2/9
Let j(r) be the third derivative of 0 + 7*r**2 + r + 1/600*r**6 - 3/20*r**4 + 0*r**3 + 7/300*r**5. Solve j(h) = 0.
-9, 0, 2
Let g(h) be the first derivative of -h**3/15 + 23*h**2/10 - 12*h - 5665. Factor g(y).
-(y - 20)*(y - 3)/5
Let y(s) be the first derivative of -21/2*s**2 + 72 - 18*s - 8/3*s**3 - 1/4*s**4. Solve y(k) = 0 for k.
-3, -2
Let o(i) be the first derivative of 4*i**3/3 + 878*i**2 - 1183. Suppose o(m) = 0. Calculate m.
-439, 0
Let k = 1392 + -1376. Let j be (-17)/(-9) - k/72. Factor -j + 2*x - 1/3*x**2.
-(x - 5)*(x - 1)/3
Suppose 785*n = 3143 - 3. Suppose -9/2*b**3 - 21/8*b**n - 9/4*b + 75/8*b**2 + 0 = 0. What is b?
-3, 0, 2/7, 1
Suppose -35*d + 37*d - 12 = 0. Factor d*t**2 - 15*t**4 - 3*t**3 + 35*t**4 - 29*t**4 + 0*t**3.
-3*t**2*(t + 1)*(3*t - 2)
Let u = 49/71 - -403/1988. Let l(h) be the first derivative of -8/7*h**2 + 4/7*h + u*h**4 - 1 + 5/21*h**3. Find i such that l(i) = 0.
-1, 2/5
Factor -233/5*h**3 - 1/5*h**4 - 231/5*h - 463/5*h**2 + 0.
-h*(h + 1)**2*(h + 231)/5
Let r = 549/4352 - 5/4352. Factor -5/8*z**2 - 1/4*z + 0 - 1/2*z**3 - r*z**4.
-z*(z + 1)**2*(z + 2)/8
Let w(d) be the third derivative of 0*d**3 + 116*d**2 + 0*d**4 + 1/90*d**5 + 1/15*d**6 + 0*d + 0. Factor w(r).
2*r**2*(12*r + 1)/3
Let k be ((0 - -4) + -4)/2. Let v(p) be the second derivative of -17*p + 0*p**2 + 0*p**3 + 0*p**5 + k + 1/60*p**4 - 1/150*p**6. Factor v(g).
-g**2*(g - 1)*(g + 1)/5
Let q(g) be the second derivative of -g**4/6 + 6*g**3 - 45*g**2 + 4264*g. Determine r, given that q(r) = 0.
3, 15
Let t(w) be the third derivative of w**5/270 + 445*w**4/54 + 198025*w**3/27 + 2*w**2 + 629. Factor t(q).
2*(q + 445)**2/9
Suppose 56525 - 56739 = -107*a. Let 12/5 + 32/5*p + 28/5*p**a + 8/5*p**3 = 0. What is p?
-3/2, -1
Factor 72 + 176/5*m - 2/5*m**2.
-2*(m - 90)*(m + 2)/5
Suppose 366*k + 264496 - 1482*k + 252*k + 3*k**2 + 98816 - 1224*k = 0. What is k?
348
Let b(t) be the third derivative of t**5/360 - 1135*t**4/72 + 1288225*t**3/36 + 4224*t**2. Factor b(a).
(a - 1135)**2/6
Let g(n) = -9*n**2 + 1240*n - 126073. Let t(l) = 39*l**2 - 4965*l + 504291. Let z(y) = 9*g(y) + 2*t(y). Suppose z(v) = 0. What is v?
205
Let n(h) be the first derivative of -1/8*h**2 + 0*h + 106 - 1/12*h**3. Factor n(o).
-o*(o + 1)/4
Let q = 31 + -37. Let i(n) = -3*n - 18. Let b be i(q). Factor 10*c**3 - 24*c**2 - 9*c**3 - 36*c - 5*c**3 + b*c**2.
-4*c*(c + 3)**2
Let -112486400 - 648960*x - 4/5*x**3 - 1248*x**2 = 0. What is x?
-520
Factor 221*p - 1110*p**2 + 1115*p**2 - 3360 + 309*p.
5*(p - 6)*(p + 112)
Let p(o) be the second derivative of -o**7/70 + 19*o**6/25 - 6*o**5 + 25*o**4/2 + 201*o**3/10 - 432*o**2/5 - 37*o. Solve p(k) = 0 for k.
-1, 1, 3, 32
Let l = 16203 + -16200. Let h(w) = -w - 1. Let g be h(-4). Determine u so that -3*u**l - 2/3 + g*u + 2/3*u**2 = 0.
-1, 2/9, 1
Let r(x) be the second derivative of x**6/360 + x**5/10 + 20*x**3/3 + x - 7. Let k(c) be the second derivative of r(c). Factor k(f).
f*(f + 12)
Find u such that 3507*u + 2*u**4 + 1731*u**2 - 396*u**3 - 1956 - 3444 + 13*u**4 + 6170*u + 3193*u = 0.
-4, 2/5, 15
Solve 260*x**3 + 15*x - 29*x + 4*x**4 - 252*x**2 + 14*x - 12*x**2 = 0.
-66, 0, 1
Let a = 288 + -344. Let i be -5 + 287/a*-1. What is k in 1/4 - 3/8*k + i*k**2 = 0?
1, 2
Let j = 860 + -856. Suppose -p = -2, -49*p + 26 = j*t - 46*p. Factor -t*k - 15/2*k**2 + 0 - 5/2*k**3.
-5*k*(k + 1)*(k + 2)/2
Let h(u) be the first derivative of 2*u**3/15 + 83*u**2 + 828*u/5 + 3387. Factor h(o).
2*(o + 1)*(o + 414)/5
Suppose 637*n = 1951 + 597. Let c(p) be the second derivative of 31*p + 1/4*p**3 + 0 + 5/2*p**2 - 1/24*p**n. What is f in c(f) = 0?
-2, 5
Suppose 11*p + 2 = 2*y + 13*p, -3 = -3*y - 5*p. Let g = -6 - -10. Factor 8*m - g - y + 5 - 4*m**2.
-4*m*(m - 2)
Let a(j) be the second derivative of -j**8/168 + 2*j**7/35 - 3*j**6/20 + 2*j**5/15 + 53*j**2/2 - 2*j + 9. Let v(u) be the first derivative of a(u). Factor v(r).
-2*r**2*(r - 4)*(r - 1)**2
Let w(v) be the third derivative of v**5/180 - v**4/24 + v**3/9 + 92*v**2 - 12*v. Solve w(b) = 0 for b.
1, 2
Let z(f) be the second derivative of 3*f**5/20 - 30*f**4 + 677*f**3/2 + 1197*f**2 - 1616*f + 1. Factor z(c).
3*(c - 114)*(c - 7)*(c + 1)
Suppose 3*m - 60 = -0*m. Let h = 25 - m. Determine l, given that 8*l**3 - 5*l + 2*l**3 + 13*l**h - 18*l**5 = 0.
-1, 0, 1
Solve -460*m - 906*m**3 - 1644437*m**4 + 160*m + 902*m**2 + 1644743*m**4 - 2*m**5 = 0.
0, 1, 150
Let c be 330/(-675) + 3/11 + 378/1155. Factor 10/9*q - c*q**2 - 25/9.
-(q - 5)**2/9
Let 22090/3 + 15355/2*u**2 + 475/3*u**3 + 44650/3*u + 5/6*u**4 = 0. Calculate u.
-94, -1
Let a be (15/(-45)*18*1)/(-2). Let n(v) be the first derivative of -3/8*v**4 + 0*v**5 + 0*v + 1/12*v**6 + 0*v**2 - 1/3*v**3 + a. Factor n(r).
r**2*(r - 2)*(r + 1)**2/2
Let c = 7249/369 + -7126/369. What is l in 1/3*l - 11/3*l**4 - 4/3*l**5 + 0 - 3*l**3 - c*l**2 = 0?
-1, 0, 1/4
Let f = 464929 - 464925. Let 4/7*o + 0 - 22/7*o**5 - 26/7*o**2 + 26/7*o**f + 18/7*o**3 = 0. Calculate o.
-1, 0, 2/11, 1
Let c(o) be the third derivative of -o**5/120 + 7*o**4/48 - o**2. What is w in c(w) = 0?
0, 7
Let d(n) be the third derivative of 2/945*n**7 + 1/135*n**5 + 19*n**2 - 4/27*n**3 + 0 - 1/90*n**6 + 0*n + 1/18*n**4. Factor d(u).
4*(u - 2)*(u - 1)**2*(u + 1)/9
Find z such that -201243/2 - 3/2*z**2 + 777*z = 0.
259
Let y(o) = -o**3 + 4*o**2 + 7*o - 24. Let b be 3/2 - (-410)/164. Let a be y(b). Suppose -32/21 - 2/21*n**2 - 16/7*n + 4/7*n**3 - 2/21*n**a = 0. Calculate n.
-1, 4
Suppose q + 4*j = -22, 0 = -q + 3*j - 0*j + 13. Let v be q/(-5)*420/56. Suppose 8/9 - 2/3*u**2 - 8/9*u**v + 8/9*u - 2/9*u**4 = 0. Calculate u.
-2, -1, 1
Let c(m) be the third derivative of -2*m**7/105 + m**6/2 - 58*m**5/15 + 14*m**4 - 80*m**3/3 + 21*m**2 + 8*m - 3. Solve c(y) = 0 for y.
1, 2, 10
Suppose 0 - 212/5*v**4 + 108/5*v**3 + 12/5*v**5 + 136/5*v + 468/5*v**2 = 0. What is v?
-1, -1/3, 0, 2, 17
Let t(u) be the second derivative of -u**5/45 - 49*u**4/27 + 2*u**3/27 + 98*u**2/9 - 2676*u. Factor t(o).
-4*(o - 1)*(o + 1)*(o + 49)/9
Factor 3797768 - 2595*m - 3244*m + 327*m + 2*m**2.
2*(m - 1378)**2
Let h(q) be the first derivative of q*