5*n**2 + 0 - f*n**6 + 0*n**3 + 0*n. Find o, given that p(o) = 0.
-3, 0, 2/3
Let g(x) = -92*x - 2112. Let v be g(-23). Let i(b) be the third derivative of -43*b**2 + 25/6*b**3 + 0*b + 0 + 1/60*b**5 + 5/12*b**v. Factor i(q).
(q + 5)**2
Let k = -190 - -188. Let s be (-3)/k - (-1)/(-6)*-3. Find i such that -8/13 - 40/13*i + 60/13*i**3 - 18/13*i**4 - s*i**2 = 0.
-1/3, 2
Let g(w) = -w**2 + 32*w - 83. Let q be g(29). Let 205*j**3 - 135*j**2 + 475*j**2 + 39*j - 10*j**q - 259*j = 0. Calculate j.
-2, 0, 1/2, 22
Let x(k) be the third derivative of -k**5/40 + 59*k**4/8 - 168*k**3 - 14*k**2 - 266*k - 2. Determine v so that x(v) = 0.
6, 112
Let o(x) be the first derivative of -x**5/20 + x**4/4 + 3*x**3/2 + 2*x**2 + 6*x + 3. Let z(r) be the second derivative of o(r). Factor z(n).
-3*(n - 3)*(n + 1)
Suppose 4*x = 2 + 22. Let d = 4 + x. Factor 20 + 27*w + 2*w**2 - d*w + 5*w.
2*(w + 1)*(w + 10)
Let h(f) = 2*f**2 + 2*f + 25. Let t be h(0). Factor 6 - 1 - 7 - 51 + 5*n**2 - 17 - t*n.
5*(n - 7)*(n + 2)
Let m(s) be the second derivative of -s**7/168 - s**6/10 + 13*s**5/80 + 3*s**4 - 6*s**3 + 5213*s. Determine y so that m(y) = 0.
-12, -4, 0, 1, 3
Let j(d) be the second derivative of d**9/15120 + d**8/53760 - 11*d**4/4 - d + 15. Let k(r) be the third derivative of j(r). Let k(u) = 0. Calculate u.
-1/8, 0
Let j = -1890/19 + 24646/247. Factor 0*s**2 + 2/13*s**4 + j*s - 4/13*s**3 - 2/13.
2*(s - 1)**3*(s + 1)/13
Let k be 1*5 - (-26)/91*-4585. Let o = -1303 - k. Find n, given that 25/2*n + 0 - 9/2*n**3 + 15/2*n**o + 1/2*n**4 = 0.
-1, 0, 5
Let p(i) be the third derivative of -4 + 0*i + 1/540*i**6 + 9*i**2 + 1/45*i**5 + 1/36*i**4 - 10/27*i**3. Find t such that p(t) = 0.
-5, -2, 1
Let m(g) = 121410711*g**2 - 170700*g + 12. Let y(l) = 24282145*l**2 - 34140*l + 2. Let j(q) = -5*m(q) + 24*y(q). Factor j(k).
-3*(2845*k - 2)**2
Suppose -3*z + 3*y - 2*y + 13 = 0, -18 = -4*z + y. Suppose f - 4 = 2*s + 6*f, s + z*f + 7 = 0. Let -p**3 - 5*p + 2*p**2 + s*p + p**2 = 0. What is p?
0, 1, 2
Suppose -3*s + 900327 = -34080. Solve -s + 484*m**3 - 136*m**3 + 72*m**3 + 19458*m**2 + 3*m**4 + 291588*m = 0.
-47, 1
Let y(q) be the second derivative of -30*q - 1/48*q**4 - 3/8*q**2 + 0 - 1/6*q**3. Factor y(v).
-(v + 1)*(v + 3)/4
Let s = 182 - 187. Let y(f) = 24*f**2 + 11*f + 2. Let n(i) = 36*i**2 + 17*i + 2. Let d(v) = s*n(v) + 7*y(v). Solve d(g) = 0.
-1, 1/3
Let k = 356 + -353. Factor -5*j + j**4 + 822*j**2 - 807*j**2 - 15*j**k + 4*j**4.
5*j*(j - 1)**3
Let w be (-11693)/(-3) + 0 + (-80)/48. Let d = w - 34936/9. Determine j, given that d + 32/9*j + 2/9*j**2 = 0.
-8
Solve -22*m - 5/6*m**2 + 1/12*m**3 + 0 = 0.
-12, 0, 22
Let x(u) = 2*u**2 + 24*u + 21. Let q be x(-11). Let v(y) = -y**3 + 1. Let r(n) = n**4 - 3*n**3 - n**2 - 2*n + 5. Let b(p) = q*r(p) + 5*v(p). Factor b(o).
-o*(o - 1)*(o + 1)*(o + 2)
Let f(t) be the first derivative of -434281*t**4/4 - 871198*t**3/3 - 2638*t**2 - 8*t + 1966. Suppose f(u) = 0. Calculate u.
-2, -2/659
Let h be -1 - (606/4)/(5/(-30)). Let y = h - 1815/2. Factor -3/2*c**3 - 1/2*c**4 + c + 1/2*c**2 + y*c**5 + 0.
c*(c - 2)*(c - 1)*(c + 1)**2/2
Let a(g) be the first derivative of 3*g**5 + 57*g**4/2 + 101*g**3 + 162*g**2 + 108*g + 728. Factor a(t).
3*(t + 2)**2*(t + 3)*(5*t + 3)
Let m be (-63)/56*-12*(-8)/12 - 102/(-10). Factor 28/5*s + m + 22/5*s**2.
2*(s + 1)*(11*s + 3)/5
Let p(a) be the first derivative of 4*a**5/5 + 46*a**4 + 704*a**3 - 92*a**2 - 2116*a - 992. Suppose p(i) = 0. Calculate i.
-23, -1, 1
Let g(a) = -57*a + 110. Let z be g(2). Let x be z/10*35/(-112). Suppose 1/2*n**2 - 5/8*n + 1/4 - x*n**3 = 0. What is n?
1, 2
Let h(c) be the second derivative of -5*c**7/168 - 19*c**6/60 - 19*c**5/20 + c**4/24 + 27*c**3/8 + 9*c**2/2 + 127*c - 7. Suppose h(z) = 0. Calculate z.
-4, -3, -1, -3/5, 1
Factor -326*a + 2/3*a**2 + 1948/3.
2*(a - 487)*(a - 2)/3
Factor 1/9*c**5 - 16*c**2 - 44/9*c**3 + 0 - 128/9*c + 0*c**4.
c*(c - 8)*(c + 2)**2*(c + 4)/9
Let c(i) = 3*i - 23. Let r be c(6). Let j(a) = -a - 2. Let d be j(r). Determine m so that 3*m**2 - 4*m + d*m - 2*m = 0.
0, 1
Let b(v) be the second derivative of -v**5/20 + 113*v**4/12 - 37*v**3 - 38*v + 5. Solve b(h) = 0.
0, 2, 111
Factor 0 - 9087/5*g**2 + 1344/5*g**3 - 51/5*g**4 + 3042/5*g.
-3*g*(g - 13)**2*(17*g - 6)/5
Factor 1599*d**3 - 75*d**2 + 1599*d**3 - 3193*d**3 - 365*d - 285.
5*(d - 19)*(d + 1)*(d + 3)
Determine x, given that 11/5*x**2 - 1/10*x**5 - 4/5*x**4 + 1/2*x - 2/5*x**3 - 7/5 = 0.
-7, -2, -1, 1
Let a(i) = -83*i**4 - 260*i**3 - 2569*i**2 - 4080*i + 31. Let t(z) = 8*z**4 + 26*z**3 + 257*z**2 + 408*z - 3. Let v(x) = 6*a(x) + 62*t(x). Factor v(u).
-2*u*(u - 34)*(u + 2)*(u + 6)
Suppose 0 = -5*x + 4*x. Suppose x = 4*o - 9 - 19. Determine b, given that 10*b**3 + 3*b + 6*b**2 - b**2 - o*b**3 + b**2 = 0.
-1, 0
Let i(z) be the first derivative of z**6/24 + 13*z**5/20 + 19*z**4/16 - 145*z**3/12 + 22*z**2 - 16*z - 3132. Solve i(n) = 0 for n.
-8, 1
Let b = 332089 + -332089. Let s be (0 + 1/2)*8. Determine h, given that 0*h**2 + 0*h + 2/3*h**3 + b + 1/3*h**s = 0.
-2, 0
Suppose -512 = 13*c - 29*c. Solve -c*b**2 + 56 + 13*b + 36*b**2 + 23*b = 0.
-7, -2
Let v(w) = 6*w**2 - 102*w - 471. Let i(p) = -3*p**2 + 53*p + 235. Let k(g) = -9*i(g) - 5*v(g). Factor k(q).
-3*(q - 16)*(q + 5)
Let t(o) be the third derivative of -o**8/100800 - 11*o**7/25200 + o**6/300 - o**5/30 + o**4/4 + 73*o**2. Let g(s) be the third derivative of t(s). Factor g(x).
-(x - 1)*(x + 12)/5
Let g = 36233 + -36229. Find a such that 22/3*a + 14/3*a**g + 6*a**3 + 4 - 22*a**2 = 0.
-3, -2/7, 1
Suppose -145 = -8*a - 105. Suppose 0 = -4*r + a*g + 23, -2*g - 8 = -4*r + 3*r. Let 0*i + 0 - 1/4*i**r - 1/4*i**3 = 0. What is i?
-1, 0
Suppose -7*m + 28*m = 0. Suppose m = -v + 130 - 127. Determine g so that 0*g + 0 - 128/9*g**v + 260/9*g**5 + 16/9*g**2 + 116/9*g**4 = 0.
-1, 0, 2/13, 2/5
Let p(y) be the third derivative of y**7/420 - y**6/15 - 121*y**5/120 - 59*y**4/12 - 11*y**3 - 28*y**2 + y + 32. Determine z so that p(z) = 0.
-3, -2, -1, 22
What is s in -78/19 + 56/19*s**3 - 6/19*s**4 + 136/19*s + 276/19*s**2 = 0?
-3, -1, 1/3, 13
Let h(b) = -32*b + 4. Let p be h(1). Let v be (-210)/p*(-4)/(-10). Factor 0 - 1/3*r - r**2 + 4/3*r**v.
r*(r - 1)*(4*r + 1)/3
Factor 480/7 + 388/7*v + 10*v**2 - 2/7*v**3.
-2*(v - 40)*(v + 2)*(v + 3)/7
Factor -514/11*i**2 + 18/11*i**3 + 974/11*i - 478/11.
2*(i - 1)**2*(9*i - 239)/11
Let m(b) = 4*b**3 + 2*b**2 + 20*b - 14. Let g(v) = -v**3 - v**2 - v + 1. Let w be (7/(-14) - 2/4)*-6. Let j = 38 - 37. Let a(n) = j*m(n) + w*g(n). Factor a(y).
-2*(y - 1)**2*(y + 4)
Find z such that 836/3*z**2 + 27*z**5 - 2420*z + 4813/3*z**3 + 0 + 510*z**4 = 0.
-15, -22/9, 0, 1
Let -388754 + 2780*m**2 + 788*m + 25*m**4 + 884*m + 710*m**3 + 1728*m + 389714 = 0. Calculate m.
-24, -2, -2/5
Solve -196/9*x + 94/9*x**2 - 10/9*x**5 - 14/9*x**4 + 206/9*x**3 - 80/9 = 0.
-5, -1, -2/5, 1, 4
Let z = 64867/417 - 309/139. Determine t, given that -320*t**4 + 256/3*t**5 + 944/3*t**3 - 400*t + z*t**2 + 500/3 = 0.
-1, 1, 5/4
Let a = -10719 - -10724. Let l(f) be the first derivative of 1/3*f**4 + 0*f + 4/9*f**2 + 2/45*f**a - 28 + 2/3*f**3. Factor l(r).
2*r*(r + 1)**2*(r + 4)/9
Suppose -3*f + 149 = p + 51, 4*p - f - 340 = 0. Find h, given that 84*h**3 - 168 - p*h**3 + 2*h + 200 - 32*h**2 = 0.
-16, -1, 1
Find v, given that 2/7*v**3 + 369750/7*v - 1892250/7 + 1730/7*v**2 = 0.
-435, 5
Let y be 3 - 1/(-4)*27/(-3). Suppose -315*k + 60 = -300*k. Find w such that 3/2*w**3 - 3/4*w**5 - y*w - 3/2*w**2 + 3/4 + 3/4*w**k = 0.
-1, 1
Let f(s) = 8*s**2 - s - 6. Let z be f(-2). Let n = z + -26. Solve -2*k**4 + 6*k**3 - 40*k + 36*k - k**5 + 2*k**n - k**5 = 0.
-2, -1, 0, 1
Let o = -3292/24635 + 4/379. Let s = 15/26 - o. Determine l so that 4/5*l - 19/10*l**2 + 2/5 + s*l**3 = 0.
-2/7, 1, 2
Let t(d) = -d**3 + 7*d**2 + 244*d - 1705. Let i be t(7). Factor 23/5*p**2 + 1/5*p - 1/5*p**i - 23/5.
-(p - 23)*(p - 1)*(p + 1)/5
Let q(i) be the first derivative of -5*i**3/3 - 35*i**2/2 + 3190*i + 1492. Let q(h) = 0. Calculate h.
-29, 22
Let i be 5/(5/(-8)) + 8/2*(-3419)/(-1052). Factor 0*b**2 - 3/8*b**i + 9/2*b**3 - 3/2*b**4 + 0*b + 0.
-3*b**3*(b - 2)*(b + 6)/8
Let m be (-346442)/(-170) - 5/100*-8. Let b = 2039 - m. What is t in 10/17*t - 2/17*t**2 - b = 0?
2, 3
Let c(g) be the third derivative of g**6/540 - g**5/5 - 115*g**4/108