- 15)*(l - 2)*(l + 2)
Let d be (-1)/43 + 63830/21113. Factor -2/7*i + 2/7*i**d - 18/7 + 18/7*i**2.
2*(i - 1)*(i + 1)*(i + 9)/7
Suppose -3 = 4*y - 5*y. Suppose 3 = o + 2*o + y*p, 5*o - 13 = -p. Factor 2*t - 4*t**2 + 4*t + o*t + t**2.
-3*t*(t - 3)
Suppose 8*y - 16 = -0*y. Suppose -4*k = -4*j + 3*j - 8, -4*k = y*j - 8. Factor 1/7*i**k + 16/7*i + 64/7.
(i + 8)**2/7
Let v be (15/14)/((-24)/(-28))*92/1725*12. Let u(d) = -d - 2. Let n be u(-4). Factor -1/5*k**n + 0*k + v.
-(k - 2)*(k + 2)/5
Let w(b) be the first derivative of -2*b**3/21 + 83*b**2/7 - 164*b/7 - 7746. Factor w(x).
-2*(x - 82)*(x - 1)/7
Let d(t) = -358*t + 108. Let z(w) = -179*w + 54. Let h(j) = -6*d(j) + 13*z(j). Let a be h(-11). Determine k, given that -a*k + 5*k**2 + 2053*k + 24 + 1 = 0.
-5, -1
Let y = 6 + 16. Suppose -b - y = -24. Solve -8*o**3 + o**4 + 6*o + 2*o**4 - b*o**4 + 1 - 2*o + 4*o**5 - 2*o**2 = 0.
-1, -1/4, 1
Let l = 643/12 - 129/4. Let d(g) = -g**2 - 102*g + 765. Let b be d(-109). Suppose 64/3*x**4 + 0 - 256/3*x**5 + 84*x**3 - l*x**b + 4/3*x = 0. What is x?
-1, 0, 1/8, 1
Let w = 4/3043 + 21293/6086. Let g(j) be the second derivative of 0 - 34*j - 65/12*j**3 - 243/160*j**5 + 69/16*j**4 + w*j**2 + 9/80*j**6. Factor g(m).
(m - 7)*(3*m - 2)**3/8
What is i in 452*i - 4321*i**2 - 4434*i**2 + i**4 + 27*i**3 + 8941*i**2 + 360 = 0?
-18, -5, -2
Let m(p) = p**4 + p**3 - p**2. Let o(f) = -64*f**2 - 56*f**2 - 128*f + 47*f**2 - 64 - 22*f**2 - 33*f**3 - 5*f**4. Let g(j) = -m(j) - o(j). Factor g(y).
4*(y + 2)**4
Find o such that -78 - 38*o**2 - 19*o**2 - o**4 - 99*o - 10*o**3 + 2*o**3 - 5*o**3 + 24 = 0.
-6, -3, -1
Let p(u) be the second derivative of 0 + 76*u - 1/3*u**4 - 18*u**3 + 56*u**2. Factor p(k).
-4*(k - 1)*(k + 28)
Determine p, given that 222/25*p + 2/25*p**3 + 272/25 - 48/25*p**2 = 0.
-1, 8, 17
Factor -8937*l**2 + 17898*l + 3/2*l**4 + 2967/2*l**3 - 11940.
3*(l - 2)**3*(l + 995)/2
Factor -1/2*g**3 + 49/2*g - 49/4 - 12*g**2 + 1/4*g**4.
(g - 7)*(g - 1)**2*(g + 7)/4
Suppose -5*c = 4*a - 7994, 3*c + 11*a - 4793 = 12*a. Let z = -14348/9 + c. Suppose 16/9*s + 2/3*s**4 - 14/9*s**2 + 8/9 - z*s**3 + 2*s**5 = 0. Calculate s.
-1, -2/3, 1
Let q = 23921 + -65352171/2732. Let y = q - -21853/8196. Suppose 2*t + 10/9*t**3 + 4/9 + y*t**2 = 0. Calculate t.
-1, -2/5
Let v(f) = -5*f - f**2 + 0*f + 2*f**2 + 5. Let q be v(5). Factor -5*r**3 - 4*r**4 - 4*r**4 + 2*r**3 + 2*r**q + 11*r**3.
2*r**3*(r - 2)**2
Let o(u) be the first derivative of 65*u**3 - 7*u**5 + 15/2*u**6 + 90 - 20*u**2 - 20*u - 145/4*u**4. Factor o(d).
5*(d - 1)**3*(d + 2)*(9*d + 2)
Let n(q) be the third derivative of 0 - 1/156*q**4 - 23*q**2 + 2/39*q**3 + 0*q - 1/130*q**5. Factor n(d).
-2*(d + 1)*(3*d - 2)/13
Let x(u) be the third derivative of -u**7/945 - 8*u**6/27 - 1189*u**5/45 - 1600*u**4/3 - 1875*u**3 + 6*u**2 - 22*u + 5. Solve x(h) = 0 for h.
-75, -9, -1
Let r(s) = -31*s**2 - 106*s - 36. Let k be r(-3). Factor 0 - 7/4*b**k + 1/2*b + 5/4*b**2.
-b*(b - 1)*(7*b + 2)/4
Let o(d) be the second derivative of 17*d**5/20 - 3997*d**4/12 + 235*d**3/3 + 1365*d. Suppose o(q) = 0. What is q?
0, 2/17, 235
Let j(f) be the third derivative of f**7/1260 + f**6/72 + f**5/15 - 3*f**4 - 85*f**2 - 1. Let y(z) be the second derivative of j(z). Let y(w) = 0. Calculate w.
-4, -1
Let d(c) be the first derivative of 13/4*c**2 + 1/3*c**3 - 1/8*c**4 + 5*c - 201. Factor d(b).
-(b - 5)*(b + 1)*(b + 2)/2
Suppose -v - 6 - 12 = -23. Let o(r) be the second derivative of -1/12*r**3 - 1/80*r**v + 0 - 17*r + 0*r**2 - 1/16*r**4. Factor o(j).
-j*(j + 1)*(j + 2)/4
Let c(j) = 3 - 2*j + 1 - 3 - j**2 + j. Let u(r) = -8*r**2 + 6*r + 6. Let v(l) = -6*c(l) + u(l). Factor v(p).
-2*p*(p - 6)
Let p = -203288 - -1829608/9. Suppose 22/9*g**2 - 2/3*g**3 - p*g - 8/9 = 0. Calculate g.
-1/3, 2
Let i be (0 + 1 - (-12)/(-24))*(-40)/(-10). Let h(c) be the first derivative of -3/8*c**i + 5/8*c - 18 + 1/24*c**3. Factor h(n).
(n - 5)*(n - 1)/8
Let i(k) = -2*k**2 + 214*k + 15. Let o(j) = 2*j**2 - 222*j - 12. Let u(t) = -4*i(t) - 5*o(t). Factor u(r).
-2*r*(r - 127)
Let u(v) be the second derivative of 3*v**5/20 - 75*v**4/4 - 477*v**3/2 - 2187*v**2/2 + 125*v. What is q in u(q) = 0?
-3, 81
Let r(c) = 65*c**2 - 116105*c + 46455. Let x(f) = -11*f**2 + 20489*f - 8198. Let n(y) = 8*r(y) + 45*x(y). Factor n(m).
5*(m - 273)*(5*m - 2)
Let n(a) be the second derivative of -46/21*a**4 + 32*a - 96/7*a**2 + 190/21*a**3 - 1 - 1/35*a**5. Solve n(f) = 0.
-48, 1
Suppose 792/7 + 750/7*p - 6*p**2 = 0. What is p?
-1, 132/7
Factor -33*b - 27*b + 0*b - 11*b + 4*b**2 + 15*b.
4*b*(b - 14)
Factor 207/2*u**2 + 2 - 25*u - 567/4*u**3.
-(7*u - 2)*(9*u - 2)**2/4
What is g in 3/5*g**5 - 180*g + 696/5*g**2 + 447/5*g**3 - 234/5*g**4 - 912/5 = 0?
-1, 2, 76
Let o be (-2675)/(-9) - (-28)/(-126). Let w = o + -294. What is f in -1/4*f**w - 3/4*f**2 - 3/4*f - 1/4 = 0?
-1
Let u(g) be the third derivative of 44*g**2 + 0*g**4 + 1 + 0*g**3 + 1/112*g**8 + 0*g + 3/40*g**6 + 0*g**5 - 2/35*g**7. Factor u(c).
3*c**3*(c - 3)*(c - 1)
Let v(x) be the first derivative of 6/5*x**4 - 65 + 96/5*x**2 - 104/15*x**3 - 2/25*x**5 - 128/5*x. Find m, given that v(m) = 0.
2, 4
Let a be 21/245 + (-105)/(-525). Determine f so that -44/7*f**2 - a*f**4 - 18/7*f**3 + 64/7 + 0*f = 0.
-4, -2, 1
Let g(x) be the second derivative of -25/42*x**7 + 0*x**2 - 2*x - 2/3*x**6 + 12 + 5/3*x**4 + 3/2*x**5 - 5/6*x**3. Let g(q) = 0. Calculate q.
-1, 0, 1/5, 1
Let q(a) be the first derivative of 25/4*a**4 + 0*a - 35/3*a**3 + 15/2*a**2 - a**5 - 71. Factor q(y).
-5*y*(y - 3)*(y - 1)**2
Factor -14 - 16 - 368*d**3 + 14*d**2 + 742*d**3 + 14*d - 372*d**3.
2*(d - 1)*(d + 3)*(d + 5)
Let z(y) be the second derivative of y**5/4 - 475*y**4/12 - 505*y**3 + 133*y - 16. Factor z(d).
5*d*(d - 101)*(d + 6)
Let p(n) be the third derivative of -n**5/240 - 89*n**4/96 - 30*n**3 + 12*n**2 + 2*n. Factor p(a).
-(a + 9)*(a + 80)/4
Let h = -1/27346 - -437551/410190. Determine z so that 2/3*z**4 + 44/15*z**3 + 0 + 0*z + h*z**2 = 0.
-4, -2/5, 0
Let h = -583 + 591. Determine v, given that -4459*v**4 - h*v**5 + 88*v**5 - 135*v + 4499*v**4 + 450*v**2 - 435*v**3 = 0.
-3, 0, 3/4, 1
Suppose 0 = -3*j + 4*b - 7, 0 = -3*j - b + 13 - 0. Factor 768 - 1333*r + 24*r**4 + 4*r**4 - 1862*r + 1488*r**2 + 29*r**3 + 827*r - 377*r**j.
4*(r - 4)**3*(7*r - 3)
Let q(u) be the third derivative of -5*u**8/336 - 25*u**7/42 - 61*u**6/8 - 263*u**5/12 + 935*u**4/6 + 1210*u**3 + 1077*u**2. Suppose q(t) = 0. Calculate t.
-11, -3, -2, 2
Let t(o) = -6*o - 8. Let a be t(-2). Let d(v) be the first derivative of 16*v - v**3 - v**4 + v**a - v**4 - 3*v**3 - 12. Suppose d(y) = 0. Calculate y.
-2, 1
Suppose 0 = -1116*g + 596*g + 593*g - 146. Factor 54/7*j - 3/7*j**g + 120/7.
-3*(j - 20)*(j + 2)/7
Determine w so that 1/7*w**5 - 216/7 + 171/7*w - 4*w**3 + 78/7*w**2 - 6/7*w**4 = 0.
-3, 1, 3, 8
Let o = 128 + -203. Let l = o - -83. Find d such that -l*d - d**3 + d**4 + 8*d = 0.
0, 1
Let l(d) be the second derivative of -499*d**4/12 + 500*d**3/3 - 2*d**2 + 3*d - 12. Determine j so that l(j) = 0.
2/499, 2
Factor 5*u**3 - 42*u**2 - 49*u**2 + 61*u - 32*u**2 - 9*u**2 + 24*u**2 + 42.
(u - 21)*(u - 1)*(5*u + 2)
Suppose -4*l - 5*u = -42, 0 = 5*l - 247*u + 252*u - 45. Let o(n) be the first derivative of -56/51*n**l - 18 - 4/17*n - 15/17*n**2. Let o(p) = 0. What is p?
-2/7, -1/4
Let w = -486011 + 486015. What is x in -3/2*x**2 - 3/8*x**w - 15/8*x**3 + 0*x + 0 = 0?
-4, -1, 0
Determine y, given that 797449/4 + 1/4*y**2 - 893/2*y = 0.
893
Factor -24300 + 3092*u**2 + 973*u**2 + 11*u**4 + 19980*u + 108*u**3 + 5*u**4 + 142*u**3 - 11*u**4.
5*(u - 1)*(u + 15)*(u + 18)**2
Let -11156*g + 2*g**2 - 946 + 22600*g - 10500*g = 0. What is g?
-473, 1
Let i(o) be the second derivative of 8/27*o**4 - 31/27*o**3 + 2/3*o**2 - o + 1/10*o**5 + 51. Factor i(b).
2*(b - 1)*(b + 3)*(9*b - 2)/9
Let 0 - 2/9*l**3 - 128/9*l + 130/9*l**2 = 0. What is l?
0, 1, 64
Let p = 454856 + -6822832/15. Suppose 0 = -5*t + 2*t. What is k in p - 14*k**4 + 286/15*k**3 + t*k + 10/3*k**5 - 134/15*k**2 = 0?
-1/5, 2/5, 1, 2
Let t(k) be the first derivative of k**5/420 + k**4/84 - k**2 - 26*k + 137. Let z(p) be the second derivative of t(p). Factor z(v).
v*(v + 2)/7
Let y(c) be the second derivative of -49*c - 1/24*c**4 + 0*c**2 + 0 + 0*c**3 + 13/80*c**5. Suppose y(z) = 0. Calculate z.
0, 2/13
Let o be