 d + 7 - 29 + 11. Let n(i) = t(i) - 2*w(i). Factor n(f).
-2*f*(f + 1)
Let t(m) be the first derivative of m**5 - 245*m**4/4 + 1395*m**3 - 30375*m**2/2 + 80190*m + 1755. Find i such that t(i) = 0.
9, 22
Factor -h**3 + 8*h**3 + 53*h**2 - 26*h**2 + 65*h**2 - 3*h**3 - 200*h.
4*h*(h - 2)*(h + 25)
Suppose 75/4*u**3 - 75/4*u - 3/8*u**4 - 153/8 + 39/2*u**2 = 0. What is u?
-1, 1, 51
Factor 35*f - 65/2 - 5/2*f**2.
-5*(f - 13)*(f - 1)/2
Let l(d) be the third derivative of -d**4/8 + 7*d**3/3 + 16*d**2. Let f be l(4). Factor -s**3 + 2*s**4 + 93*s**f - 4*s**4 - 92*s**2.
-s**2*(s + 1)*(2*s - 1)
Let u(g) be the second derivative of g**5/110 + g**4/3 + 91*g**3/33 + 102*g**2/11 + 5*g + 574. Factor u(s).
2*(s + 2)*(s + 3)*(s + 17)/11
Let l(n) be the first derivative of 111 + 1/4*n**4 - 1/2*n**2 + 7/3*n**3 - 7*n. Find h such that l(h) = 0.
-7, -1, 1
Let c be -11*1 + 313458/28480. Let p(z) be the third derivative of 0*z + 6*z**2 + 0 + 3/32*z**4 + 1/8*z**3 + 3/80*z**5 + c*z**6. Factor p(j).
3*(j + 1)**3/4
Let p = 1305660 + -3916976/3. Factor 0*f + 14/9*f**4 + 0*f**2 + 0 - p*f**3 - 2/9*f**5.
-2*f**3*(f - 6)*(f - 1)/9
Solve 0*s**2 + 8*s**2 - 3303 + 2315 - 14*s - 6*s**2 = 0 for s.
-19, 26
Suppose -3724*o + 2*n = -3729*o + 26, o + 3*n = 0. Let m(u) be the first derivative of -o*u**2 + 2*u**3 + 3/4*u**4 - 18 - 24*u. Suppose m(v) = 0. Calculate v.
-2, 2
Let b(m) be the third derivative of m**5/80 - 115*m**4/2 - 1841*m**3/8 - 222*m**2 + 2*m + 12. Suppose b(i) = 0. Calculate i.
-1, 1841
Find o such that -69/4*o**2 + 1/4*o**3 - 1280 + 336*o = 0.
5, 32
Let q = -7233 + 101263/14. Let b(i) be the second derivative of -1/98*i**7 + 0 + 0*i**3 - 35*i - q*i**6 + 45/28*i**4 + 3/28*i**5 - 162/7*i**2. Factor b(x).
-3*(x - 2)**2*(x + 3)**3/7
Let b = -1080 - -1083. Let j(o) be the first derivative of 0*o + 0*o**b - o**5 + 6 + 5/4*o**4 + 0*o**2. Determine k so that j(k) = 0.
0, 1
Let z(r) be the first derivative of -17/4*r**2 - 289/4*r - 1/12*r**3 + 209. Solve z(p) = 0 for p.
-17
Let f = -84 + 89. Let i(c) = -25*c**3 - 52*c**2 - 17*c + 5. Let o(n) = -37*n**3 - 79*n**2 - 26*n + 8. Let b(h) = f*o(h) - 8*i(h). Determine z so that b(z) = 0.
-1, -2/5, 0
Let k(y) be the third derivative of y**8/240 - 821*y**7/1050 - 19*y**6/8 - 359*y**5/300 + 119*y**4/60 + y**2 - 151*y - 1. Suppose k(f) = 0. Calculate f.
-1, 0, 2/7, 119
Let h(a) = 15*a**2 - 697*a - 290. Let u(x) be the second derivative of 7*x**4/12 - 349*x**3/6 - 73*x**2 - 4*x. Let o(s) = -3*h(s) + 5*u(s). Solve o(p) = 0.
-2/5, 35
Let v be (4 - 141/33)*380/(-1482)*13. Solve 18/11*g**3 + 2/11*g**5 + 0 + 4/11*g - v*g**4 - 14/11*g**2 = 0 for g.
0, 1, 2
Let j(i) be the first derivative of 0*i - 5/6*i**2 - 14 + 5/12*i**4 - 5/9*i**3 + 1/3*i**5. Let j(d) = 0. What is d?
-1, 0, 1
Let o(t) be the second derivative of -17/15*t**3 - 88*t + 0 + 19/30*t**4 - 2/5*t**2. Let o(z) = 0. Calculate z.
-2/19, 1
Let t(q) be the first derivative of -19/7*q**2 + 18/7*q + 22/21*q**3 + 11 - 1/14*q**4. Factor t(y).
-2*(y - 9)*(y - 1)**2/7
Suppose -123*x + 90 = -124*x. Let h be (3/(-12))/(15/x). Suppose 3*i**2 + h*i - 3*i**4 - 3/2*i**5 + 0 + 0*i**3 = 0. Calculate i.
-1, 0, 1
Factor 81*u**3 + 3*u**5 - 54*u**2 - 2051*u**4 - 21*u + 21*u + 2021*u**4.
3*u**2*(u - 6)*(u - 3)*(u - 1)
Factor 588 + 37*r**2 + 13*r - 33*r**2 + 579*r.
4*(r + 1)*(r + 147)
Suppose 14 = 2*q + 3*w - 17, 22 = q - 5*w. Let i(s) = s**2 - 14*s + 8. Let p be i(q). Factor -20*u + 16*u**2 - 62*u**2 - 25*u**3 - p*u**2.
-5*u*(u + 4)*(5*u + 1)
Let t(h) be the first derivative of h**8/11760 - h**7/1176 - h**6/630 + h**5/42 + 80*h**3/3 - 146. Let x(u) be the third derivative of t(u). Factor x(m).
m*(m - 5)*(m - 2)*(m + 2)/7
Suppose -3*o = z - 26, 0 = -5*z + 5*o + 1 + 49. Suppose i - 2 = -4*i - 2*u, -5*u = 3*i + z. Factor -4*g**2 - 2*g**i + 6*g**4 - 2*g + 6*g - g - 3*g**5.
-3*g*(g - 1)**3*(g + 1)
Let f(n) be the third derivative of n**6/80 - 17*n**5/40 + 6314*n**2. Factor f(u).
3*u**2*(u - 17)/2
Factor -11/2*y**5 - 1/3 + 65/3*y**4 - 95/3*y**3 + 20*y**2 - 25/6*y.
-(y - 1)**4*(33*y + 2)/6
Suppose -13*f + 50 = -3*f. Factor 94 - 594 - f*i**2 - 26*i + 62*i + 64*i.
-5*(i - 10)**2
Let k(w) be the first derivative of 150*w**3 + 690*w**2 + 1058*w + 403. Factor k(y).
2*(15*y + 23)**2
Let k(h) be the first derivative of 3*h**4/4 + 38*h**3 - 3*h**2/2 - 114*h - 3807. Determine a so that k(a) = 0.
-38, -1, 1
Suppose 0 = -890*a + 103*a + 1574. Factor -2*z - 20/11 - 2/11*z**a.
-2*(z + 1)*(z + 10)/11
Let k(n) be the first derivative of -n**4/36 - n**3/9 + 11*n**2/9 + 8*n/3 - 2035. Find q such that k(q) = 0.
-6, -1, 4
Let d(r) be the first derivative of r**6/2520 + r**5/60 + 7*r**4/24 + 17*r**3/3 + r + 36. Let w(p) be the third derivative of d(p). Find l such that w(l) = 0.
-7
Let y = 2/29699 - -29695/59398. Let z(n) be the first derivative of -y*n**2 - 1/6*n**3 + 4*n + 24. Factor z(v).
-(v - 2)*(v + 4)/2
Suppose -4680*j - 906*j + 11172 = 0. Factor 1/3*u**5 + 100/3 + 23/3*u**4 + 163/3*u**3 + 320/3*u + 361/3*u**j.
(u + 1)**3*(u + 10)**2/3
Let a(k) be the third derivative of 3*k**2 + 0 - 75/8*k**4 - 11*k - 125/3*k**3 - 1/24*k**6 - k**5. Solve a(q) = 0.
-5, -2
Let b = 66006 + -264023/4. Find a such that 13/2 - 11/4*a - b*a**2 = 0.
-13, 2
Let x(f) be the first derivative of -3*f**4/16 - 76*f**3/3 + 517*f**2/8 + 103*f/2 + 2782. Factor x(v).
-(v - 2)*(v + 103)*(3*v + 1)/4
Let b(f) be the first derivative of f**7/126 - 2*f**6/15 + f**5/2 - 7*f**4/9 + f**3/2 - 41*f + 7. Let l(x) be the first derivative of b(x). Factor l(p).
p*(p - 9)*(p - 1)**3/3
Let z = -51 + 55. Let x be 56/(-7)*(-10)/z. Factor 47*q + 5*q**2 - 7*q + x + 27 + 13.
5*(q + 2)*(q + 6)
Let g be ((-36)/(-24) - (-14)/12)*15. Suppose -g*n + 6 = -38*n. Factor 3*k**2 + 0 - k - 13/4*k**n + 3/2*k**4 - 1/4*k**5.
-k*(k - 2)**2*(k - 1)**2/4
Let o be ((0 + 7)*-1 + 31 + -30)/(-3). Let f(h) be the first derivative of -2/15*h**3 - 32/5*h + 31 - 8/5*h**o. Determine b, given that f(b) = 0.
-4
Let j be ((-20)/12)/((-10)/12). Factor 4*b**4 + 95*b**j + 3*b**3 - 107*b**2 - 3*b**3 - 4*b**3 - 8 + 20*b.
4*(b - 1)**3*(b + 2)
Let n = -240942 - -240948. Determine r, given that 0 + n*r**2 + 16/3*r + 2/3*r**3 = 0.
-8, -1, 0
Let h(r) be the third derivative of -r**5/20 + 1759*r**4/4 - 3094081*r**3/2 + 2119*r**2 + 2*r. Factor h(d).
-3*(d - 1759)**2
Let s be ((-28)/(-8) + -5)*2708/(-3). Suppose 0 = 5*k - s - 481. Solve 18*x**2 + 319*x - k*x + 32 - x**3 - x**3 = 0 for x.
1, 4
Let b(d) be the second derivative of -d**6/1800 + 19*d**5/600 + d**4/6 + 52*d**3/3 - d**2/2 - 2*d + 53. Let i(m) be the second derivative of b(m). Factor i(o).
-(o - 20)*(o + 1)/5
Let g(h) = -h**2 + 2*h + 52. Let i be g(-6). Factor 0*q - 4 + 14*q - 5*q**4 - 12*q**3 - 2*q + 13*q**i - 4*q**2.
4*(q - 1)**2*(q + 1)*(2*q - 1)
Let y = -30 - -29. Let a be 160/64 - 1*y/2. Factor -m**4 - 32*m - m**2 + 32*m - 2*m**2 + 4*m**a.
-m**2*(m - 3)*(m - 1)
Let x be (-252)/(-56) - (1/5)/((-12)/(-90)). Factor -33 - 129/2*s - 30*s**2 + 3/2*s**x.
3*(s - 22)*(s + 1)**2/2
Let j = -34/473 - -4294/7095. Let k(s) be the second derivative of 0*s**2 + j*s**4 + 3/10*s**5 + 4/15*s**3 + 9*s + 0. Factor k(f).
2*f*(3*f + 2)*(5*f + 2)/5
Let k be (10/(-516 - -6))/((-7 - -1) + 525/90). Find y such that -k*y**4 - 12/17*y + 0*y**3 + 0 + 14/17*y**2 = 0.
-3, 0, 1, 2
Let z(i) = i**2 - i - 106. Let d be z(11). Let s be 9/((-18)/d) + (-2 - -6). Factor 108/7*w**2 + s*w**3 - 64/7 + 192/7*w.
2*(w + 4)**2*(7*w - 2)/7
Let z(g) = g**3 - 29*g**2 + 46*g - 500. Let j be z(28). Let w(a) be the second derivative of 2/9*a**3 - 23*a + 1/9*a**j + 0 + 0*a**2. Let w(m) = 0. Calculate m.
-1, 0
Suppose 2 - 14 = -4*o. Suppose 0 = 3*x + 4*p - 21, 4*x + 0*p + o*p = 21. Factor 2*k + 0*k**3 - x*k**3 + 3*k**3 - 4*k**2 + 2*k**3.
2*k*(k - 1)**2
Let c = 160 + 224. Let b = -381 + c. What is u in 0*u - 33/8*u**2 + 3/2 - 3/4*u**4 - 27/8*u**b = 0?
-2, -1, 1/2
Suppose -17972 = -33*p - 17873. Factor -3/5*x**p - 1/5*x + 0 + 4/5*x**2.
-x*(x - 1)*(3*x - 1)/5
Let h = 872009 + -872006. Let -1 + z**2 + 1/8*z - 1/8*z**h = 0. Calculate z.
-1, 1, 8
Let f(d) = -6*d**3 + 28629*d**2 + 22752909*d + 6029518500. Let c(m) = -m**3 + 7157*m**2 + 5688227*m + 1507379625. Let i(s) = 9*c(s) - 2*f(s). Factor i(z).
3*(z + 795)**3
Suppose 4*m = f + 4, -5*m = -f - 2*f + 2. Factor 210*w + 11*w + 2*w**m + 8014 + 67*w + 2354.
2*(w + 72)