*j**t + 4*j**3 - 3*j**2.
(j - 1)*(j + 2)**2
Determine n, given that 3 + 2190*n**4 - 3 - 2188*n**4 + 19*n**3 - n**5 - 20*n**2 = 0.
-4, 0, 1, 5
Let p(b) = -3*b**2 + b - 1. Let i(c) = -23*c**2 + 62*c + 280. Let q(r) = -3*i(r) + 24*p(r). Determine j so that q(j) = 0.
-48, -6
Let 2351490*n**3 - 2351390*n**3 - 320*n + 3*n**4 - 3*n**4 - 5*n**5 = 0. Calculate n.
-4, -2, 0, 2, 4
Let g(i) = 2*i**5 - i**4 - i**2 - 1. Let s(a) = -24*a**5 + 270*a**4 - 111*a**3 - 786*a**2 + 909*a - 249. Let o(n) = 9*g(n) + s(n). What is v in o(v) = 0?
-2, 1/2, 1, 43
Suppose 239167*f**2 - 239165*f**2 + 42 + 30 + 26*f = 0. Calculate f.
-9, -4
Let l(z) be the first derivative of z**5/45 + 38*z**4/9 + 50*z**3/3 + 224*z**2/9 + 149*z/9 - 10335. Factor l(d).
(d + 1)**3*(d + 149)/9
Suppose 4*r - 20 = 0, 4*r - 50 = -3*w + 2*w. Let s = w - 28. Solve v + 2*v - 6*v - v**2 - s = 0 for v.
-2, -1
Let r be (-330)/(-99)*15/25. Let s(z) be the second derivative of 0*z**4 + 1/40*z**5 - 1/4*z**3 + 0 - 1/2*z**r - 17*z. Determine g, given that s(g) = 0.
-1, 2
Factor -365*s**3 - 90534*s**4 - 156*s + 59*s**3 - 474*s + 90531*s**4 + 939*s**2.
-3*s*(s - 2)*(s - 1)*(s + 105)
Let j(p) be the third derivative of -p**8/336 - p**7/70 + 7*p**6/120 + 7*p**5/60 - 3*p**4/4 + 4*p**3/3 + 157*p**2 + 4. Factor j(r).
-(r - 1)**3*(r + 2)*(r + 4)
What is o in 2333*o + 1034*o**2 - 106580 - 515*o**2 - 524*o**2 - 873*o = 0?
146
Let y(f) be the second derivative of -5/6*f**3 + 3*f + 2 - 5/6*f**4 + 1/4*f**5 + 5*f**2. Solve y(l) = 0 for l.
-1, 1, 2
Let k(v) be the third derivative of v**6/60 - 101*v**5/30 + 25*v**4/3 + 2*v**2 + 208*v + 4. Determine p so that k(p) = 0.
0, 1, 100
Let t(b) be the second derivative of 11*b - 2/3*b**3 - 1/24*b**4 + 5*b**2 + 6. Let t(d) = 0. Calculate d.
-10, 2
Let g(l) be the third derivative of -l**8/168 + 3*l**6/20 - 2*l**5/15 - l**4 + 3*l**2 - 130. Find b, given that g(b) = 0.
-3, -1, 0, 2
Let d(y) = -6*y**4 + 27*y**3 + 64*y**2 - 17*y - 43. Let g(w) = w**4 - w**2 - 2*w - 3. Let m(p) = -d(p) - 5*g(p). Solve m(o) = 0 for o.
-2, -1, 1, 29
Suppose 21*n + 18 = 81. Let q(l) be the first derivative of 9 - 4/25*l**5 - 2/15*l**6 + 4/15*l**n + 0*l**2 + 1/5*l**4 + 0*l. Suppose q(f) = 0. Calculate f.
-1, 0, 1
Let z be -13 + 833/51 + -3. Let w(l) be the first derivative of -32 - 4/9*l - 2/27*l**3 + z*l**2. Solve w(c) = 0 for c.
1, 2
Let a = -14890 - -44677/3. Factor -1/3 - a*y**2 + 5/3*y + y**3.
(y - 1)**2*(3*y - 1)/3
Factor 1100*s**2 + 2184*s + 1 - 73*s**3 - 1 + 177*s**3 - 100*s**3.
4*s*(s + 2)*(s + 273)
Factor 0*l + 1/5*l**4 + 0 + 56*l**2 + 61/5*l**3.
l**2*(l + 5)*(l + 56)/5
Let y(j) be the third derivative of -4*j**3 - 17/50*j**5 + 0*j**6 + 1 - 8*j**2 + 1/175*j**7 - 9/5*j**4 + 0*j. Factor y(m).
6*(m - 5)*(m + 1)*(m + 2)**2/5
Let r(b) be the second derivative of 0*b**2 + 1/28*b**7 + 0 - 1/4*b**3 + 0*b**5 - 1/10*b**6 + 89*b + 1/4*b**4. Factor r(i).
3*i*(i - 1)**3*(i + 1)/2
Factor 0 - 3867/5*j**2 + 0*j - 3/5*j**3.
-3*j**2*(j + 1289)/5
Factor -3020*l + 758 + 3652 + 332*l**2 + 2564778*l**3 + 2890 - 2564782*l**3.
-4*(l - 73)*(l - 5)**2
Let v(n) = -11*n**3 - 1526*n**2 + 1537*n + 60. Let h(c) = 12*c**3 + 1527*c**2 - 1539*c - 70. Let y(l) = 6*h(l) + 7*v(l). Factor y(o).
-5*o*(o - 1)*(o + 305)
Let b be 165396/224 + 6/(-16). Let a = b - 2209/3. What is x in 11/3*x**2 - a*x**4 + 0 + 4*x**3 - 2*x = 0?
-1, 0, 2/5, 3
Let l(u) be the first derivative of -u**4/10 - 1342*u**3/15 - 1339*u**2/5 - 1338*u/5 + 1993. Factor l(o).
-2*(o + 1)**2*(o + 669)/5
Let t = 219 - 147. Suppose r = -3*r + t. Factor -3*q**2 + 50*q**3 + r*q**2 - 47*q**3.
3*q**2*(q + 5)
Let u be (-6*(-2)/4 + -14)/(1 + -2). Let s(n) be the first derivative of -2/39*n**3 + 4/13*n - u + 1/13*n**2. Factor s(b).
-2*(b - 2)*(b + 1)/13
Let a = -335 + 335. Suppose a = m + r - 5, 5*r = 8 + 7. Determine o so that o**m + 0 + 4/5*o**3 + 1/5*o**4 + 2/5*o = 0.
-2, -1, 0
Suppose -99/4*s**4 + 0 - 51/2*s - 3/4*s**5 + 105/4*s**3 + 99/4*s**2 = 0. What is s?
-34, -1, 0, 1
Let y(q) be the third derivative of q**7/1470 + q**6/105 + q**5/20 + 11*q**4/84 + 4*q**3/21 - 2*q**2 - 301*q. Factor y(n).
(n + 1)**2*(n + 2)*(n + 4)/7
Let k(v) be the third derivative of -1/330*v**6 + 1/12*v**4 + 2/11*v**3 - 1/110*v**5 + 0*v + 0 - 51*v**2. Find b, given that k(b) = 0.
-3, -1/2, 2
Suppose -3*n + 3 = 0, 0 = 4*h - 145*n + 148*n - 67. Let v = 2 + 0. Factor 8*a - 25*a**v + 13*a**2 + h*a**2.
4*a*(a + 2)
Let h(r) = -4*r**5 - 68*r**4 - 744*r**3 - 2660*r**2 - 3580*r + 40. Let i(d) = d**4 - d**3 - d**2 + d + 2. Let p(u) = -h(u) + 20*i(u). Factor p(n).
4*n*(n + 5)**2*(n + 6)**2
Suppose 0 = 4*f, 3*w - 4*f + 52 - 10 = 0. Let g be w/8 + 10/(-35)*-7. Factor 1/2*z - g - 1/2*z**3 + 1/4*z**2.
-(z - 1)*(z + 1)*(2*z - 1)/4
Let l = -163591 - -490781/3. Suppose -16 + 20/9*v**2 + l*v + 2/9*v**3 = 0. Calculate v.
-6, 2
Suppose -4*x + p = -x - 1, -5*x = 3*p - 11. Let o be x + (6 - 4) + -1. Determine q, given that -13*q - q**2 + 29*q + 0*q**o - 15*q**2 + 4*q**3 = 0.
0, 2
Let v = 18053 - 3520334/195. Let b(n) be the second derivative of 0 + v*n**6 + 1/26*n**4 - 3/130*n**5 - 8*n - 1/39*n**3 + 0*n**2. Factor b(g).
2*g*(g - 1)**3/13
Let t(n) be the first derivative of -n**5/48 + 15*n**4/32 - 15*n**3/4 - 46*n**2 - 31. Let u(i) be the second derivative of t(i). Let u(z) = 0. What is z?
3, 6
Let c(n) = -20 + 0*n + n + n. Let m be c(19). Factor 5*d**2 - 2 - m + 14*d - 6*d + 7*d.
5*(d - 1)*(d + 4)
Let j(a) = -a**3 - 3*a**2 - 17*a + 15. Let v(b) = -3*b**3 - 5*b**2 - 35*b + 30. Let g(w) = 5*j(w) - 2*v(w). Let s be g(7). Solve s + 0*k + 4*k - 8 - 4*k**2 = 0.
0, 1
Let d = -1706 + 3037. Let b = -1329 + d. Factor 0*u + 4/7*u**3 + 0 + 0*u**b - 2/7*u**4 - 2/7*u**5.
-2*u**3*(u - 1)*(u + 2)/7
Let l(z) = 4*z**2 - 80*z - 160. Let d(c) = 6*c**2 - 124 - 79*c - 15 - 23. Let u(s) = -4*d(s) + 5*l(s). Find b, given that u(b) = 0.
-19, -2
Find a such that 0 + 0*a + a**3 + 40*a**2 - 1/2*a**4 = 0.
-8, 0, 10
Let i be 61 + -5*(-4662)/1258. Factor i + 104/17*y + 2/17*y**2.
2*(y + 26)**2/17
Let v be 40/(-30) - ((-5697)/324 - -16). Factor 63/4 - 31/2*z - v*z**2.
-(z - 1)*(z + 63)/4
Let s = 5560 - 5560. Let y(x) be the second derivative of -1/16*x**4 + 1/80*x**5 + 1/8*x**3 - 1/8*x**2 + s - 9*x. Factor y(c).
(c - 1)**3/4
Let u = -1296 - -1291. Let r be u - (-54)/(-24)*-4. Find h such that r*h - 2*h**2 + 1/3*h**3 - 8/3 = 0.
2
Let k(h) be the first derivative of h**5/100 - h**4/20 + 2*h**2/5 + 2*h + 37. Let o(v) be the first derivative of k(v). Find y, given that o(y) = 0.
-1, 2
Let d be (-325440)/(-156) + -9 + 0. Let o = d + -2077. Find h, given that 8/13*h - o*h**4 + 0 - 2/13*h**3 + 8/13*h**2 = 0.
-2, -1, 0, 2
Let j(y) be the first derivative of -y**6/39 + 2*y**5/65 + 7*y**4/13 + 8*y**3/39 - 40*y**2/13 - 64*y/13 + 3777. Let j(m) = 0. What is m?
-2, -1, 2, 4
Let u(c) = -c**2 + 27*c - 125. Let m be u(7). Let v be 99/60 - m/(-20). Solve -3/5*j**2 - 12/5 - v*j = 0 for j.
-2
Let j = 1314 + -1309. Let p(l) be the third derivative of -1/40*l**6 - 1/560*l**8 - 2/175*l**7 + 0 + 0*l**3 - 1/50*l**j + 0*l + 0*l**4 + 7*l**2. Factor p(k).
-3*k**2*(k + 1)**2*(k + 2)/5
Let o = -3791168/5 - -758240. Factor -2/5*z**2 + 0 + o*z.
-2*z*(z - 16)/5
Suppose 24*j = 17*j + 14112. Determine z, given that -3*z**3 + 12 - 2000*z + 6*z**2 + 4037*z - j*z = 0.
-1, 4
Let x(m) be the first derivative of -3*m - 7/2*m**2 - 54 - 23/12*m**3 - 1/2*m**4 - 1/20*m**5. Factor x(v).
-(v + 1)*(v + 2)**2*(v + 3)/4
Let c be 4 + (-7 - (-5 - 0)). Factor -14 - m**2 + 24 + c + 4*m.
-(m - 6)*(m + 2)
Factor 29*j**3 + 36399073*j**4 - 273*j**3 + 472*j**2 - 36399069*j**4.
4*j**2*(j - 59)*(j - 2)
Solve 5*j**3 + 0 - 7*j + 1/2*j**2 + 3/2*j**4 = 0 for j.
-7/3, -2, 0, 1
Let i(p) be the first derivative of p**3/3 - 1312*p**2 + 1721344*p + 4266. Factor i(v).
(v - 1312)**2
What is u in -927369648 + 1962834*u + 2*u**3 + 856*u**2 - 5500*u**2 + 1631622*u = 0?
774
Let j be -1*12*581/(-498) - (0 + 10). Solve 0*b + 0*b**2 + 2/3*b**j + 0 - 2/3*b**3 = 0 for b.
0, 1
Let -4/5*h + 798/5 - 2/5*h**2 = 0. Calculate h.
-21, 19
Let a(g) be the third derivative of g**5/330 + 7*g**4/12 + 142*g**3/11 + 191*g**2 + 2*g. Solve a(k) = 0.
-71, -6
Determine t, given that 421 - 437 - 13*t**2 - 11*t**2 + 66*t + 16*t**2 = 0.
1/4, 8
Let q(n) be the second derivative of 0*n**4 - 1/50*n**5 + 0*n**3 + 1/225*n**6 - 3*n + 2 + 0*n**2. Factor q(k