.
-34, -2, 0, 2/5, 3
Let f = -39 - -88. Let p = -47 + f. Factor -p - 4 - 278*n**2 + 275*n**2 - 9*n.
-3*(n + 1)*(n + 2)
Let k be 10/24*(-90)/(-225). Let y(u) be the third derivative of 1/3*u**4 + 0*u**3 - 11*u**2 - k*u**6 - 1/5*u**5 + 0 + 0*u. Factor y(x).
-4*x*(x + 1)*(5*x - 2)
Suppose 64*t = 49*t - 3840. Let u be (t/(-224))/(100/224). Factor -4/5*p**4 - 32/5*p**2 - u - 16/5*p**3 - 2/25*p**5 - 32/5*p.
-2*(p + 2)**5/25
Let z = -23155 - -46313/2. Factor 9/2*i**3 - z*i**4 - 3*i**2 + 0 + 0*i.
-3*i**2*(i - 2)*(i - 1)/2
Let 27/2*j - 3*j**4 - 27/2 + 57/2*j**2 - 3/2*j**3 = 0. What is j?
-3, -1, 1/2, 3
Let r(h) = -3*h**2 + h - 6. Let k be r(3). Let x be (5/(-6)*2)/(k/90). Factor 1/9*t + 4/9*t**2 + 2/3*t**3 + 4/9*t**4 + 1/9*t**x + 0.
t*(t + 1)**4/9
Let y(b) be the third derivative of 2*b**7/525 + b**6/6 - 143*b**5/75 + 69*b**4/10 - 12*b**3 + 27*b**2 - 48*b. What is o in y(o) = 0?
-30, 1, 3
Let y(h) be the third derivative of -1/672*h**8 + 2*h**2 + 36*h - 1/3*h**5 - 25/48*h**4 - 1/40*h**6 + 0*h**3 + 0 + 2/105*h**7. Factor y(l).
-l*(l - 5)**2*(l + 1)**2/2
Suppose 11*p + 57 = -988. Let n = p - -97. Factor -23 - 2*v**n - 6*v - 23 - v**2 + 43.
-3*(v + 1)**2
Let h = -157 + 154. Let b(a) = 31*a**2 + 9*a + 2. Let f(k) = -7*k**2 + 5*k**2 - k**2. Let p(d) = h*b(d) - 24*f(d). Find x, given that p(x) = 0.
-1, -2/7
Let o be (-925)/(-175) - (-2)/(-7). Find x such that 2 - 2603*x**5 - 5*x**4 + 6*x**3 - 2 + 2602*x**o = 0.
-6, 0, 1
Let b(d) be the third derivative of -1/60*d**5 + 0*d - 19/3*d**3 + 13/8*d**4 + 229*d**2 + 0. Factor b(y).
-(y - 38)*(y - 1)
Let y(v) be the third derivative of -v**6/56 + 93*v**5/140 + 69*v**4/28 + 20*v**3/7 + 7*v**2 - 86. Determine k, given that y(k) = 0.
-1, -2/5, 20
Suppose h - 5 = 2*u - 4, -2*u + 4*h - 16 = 0. Factor 43*o + 43*o - 19*o + u*o**2 - 8*o - 3*o**2.
-o*(o - 59)
Let k = 713751 + -713745. Factor -9/2*w**3 - 3 + k*w**2 + 15/2*w.
-3*(w - 2)*(w + 1)*(3*w - 1)/2
Let g(c) be the third derivative of -c**6/84 + 37*c**5/210 + 2*c**4/7 + 5260*c**2. Let g(b) = 0. Calculate b.
-3/5, 0, 8
Let t be (5/30)/(21 + (-858)/44). What is q in 2/9*q**2 - 2/9 - 1/9*q + t*q**3 = 0?
-2, -1, 1
Let a(d) = 10*d**2 + 168*d - 154. Let m(y) = 19*y**2 + 332*y - 307. Let q(j) = -11*a(j) + 6*m(j). Let q(z) = 0. What is z?
-37, 1
Let y be (15 - (1 - -9)) + 18/(-2). Let k(x) = 8*x**2 + 108*x + 88. Let j(m) = 7*m**2 + 105*m + 89. Let q(t) = y*j(t) + 3*k(t). Factor q(o).
-4*(o + 1)*(o + 23)
Let f(j) be the third derivative of 1849/18*j**3 - 2*j - 1/90*j**6 - 3655/36*j**4 - 343/180*j**5 - 69*j**2 + 0. Suppose f(b) = 0. Calculate b.
-43, 1/4
Let n(j) = -6*j**2 + 1007*j - 15. Let b(p) = 7*p**2 - 1006*p + 18. Let w(g) = 5*b(g) + 6*n(g). What is r in w(r) = 0?
0, 1012
Let s(b) be the third derivative of -45/16*b**3 + 23/32*b**4 - 1/160*b**5 + 0*b + 0 - 126*b**2. Solve s(x) = 0 for x.
1, 45
Let y = 2 + 0. Let z(d) = -339*d**2 + 37969*d - 107. Let g be z(112). Let -27/7*i - 54/7*i**y - 11/7*i**4 + 1/7*i**g + 81/7 + 6*i**3 = 0. Calculate i.
-1, 3
Let x = -25 + 25. Solve 8*n + x*n**2 + 46 + 4*n**2 - 42 = 0.
-1
Let i(z) = -z + 40. Let n be i(22). Suppose -6 = 3*v - n. Let 2*t**5 + 6*t**3 - 3*t**2 + 3*t**v + 2*t**5 - 3*t**3 - 7*t**5 = 0. Calculate t.
-1, 0, 1
Let -312/7 - 64/7*j - 2/7*j**2 = 0. Calculate j.
-26, -6
Suppose 4*o - 36 = 14*j - 10*j, 0 = 3*o - 5*j - 37. Let d be ((-3)/2)/(1/(-2)). Factor -13*a**5 - 37*a**5 - 7*a**4 + 16*a**2 + 36*a**4 + 72*a**d + 31*a**o.
-2*a**2*(a - 2)*(5*a + 2)**2
Find z such that -2237*z + 4*z**3 - 5084*z + 1368 + 1731*z**2 + 4589*z - 371*z**2 = 0.
-342, 1
Let t = 182 - 264. Let g = t - -86. Let s(k) = 5*k**2 - k - 4. Let r(l) = l**2 - 1. Let m(p) = g*r(p) - s(p). Factor m(c).
-c*(c - 1)
Factor 146/5*c + 0 - 2/5*c**2.
-2*c*(c - 73)/5
Let d(o) be the first derivative of o**8/2520 + 2*o**7/315 + o**6/27 + 4*o**5/45 + 127*o**3/3 + 70. Let i(u) be the third derivative of d(u). Factor i(h).
2*h*(h + 2)**2*(h + 4)/3
Let k(n) be the second derivative of -n**5/30 - n**4/2 + 49*n**3/9 - 13*n**2 + 4805*n. Factor k(f).
-2*(f - 3)*(f - 1)*(f + 13)/3
Suppose -3*h + 6 = 5*j - h, -j = 3*h + 4. Factor 19*b - 10*b**3 + 8*b**3 - 21*b + 14*b**j - 22*b.
-2*b*(b - 4)*(b - 3)
Suppose 7*h - 4 = 6*h. Let a be 22/40 + 111/(-370). Find q such that -1/4*q - a*q**5 + 0*q**h + 0*q**2 + 0 + 1/2*q**3 = 0.
-1, 0, 1
Factor -5103081/7*p**2 + 1280873331/7*p**3 + 6777/7*p - 3/7.
3*(753*p - 1)**3/7
Let n be 1/(10/3 - (-6)/(-2)). Factor 2*q**n - 249 + 0*q**2 + 20*q**2 + 249.
2*q**2*(q + 10)
Suppose -85 = -3*y - 1. Find t, given that -36 - y + 38*t - 12 - 118*t - 4*t**2 = 0.
-19, -1
Let f(b) = -44*b + 2479. Let j be f(56). Let r(v) be the first derivative of -25/2*v**2 - 35/9*v**3 - 5/12*v**4 - j*v + 38. Factor r(i).
-5*(i + 1)*(i + 3)**2/3
Suppose 4*r + 369 = -n, r - 76 + 835 = -2*n. Let q = -381 - n. Factor 0*x**2 + q + 4/9*x**3 - 16/9*x.
4*x*(x - 2)*(x + 2)/9
Find p, given that -7/3*p**2 - 148 - 1556/3*p = 0.
-222, -2/7
Let s be ((-17608)/279 - -40)*(-2)/4. Factor 2/9*a**2 + 1352/9 + s*a.
2*(a + 26)**2/9
Let b(d) = d**3 - 182*d**2 - 201*d + 3360. Let v be b(183). Factor 4/3*j**3 + 1250/3 + 800*j - v*j**2.
2*(j - 25)**2*(2*j + 1)/3
Let c(i) be the first derivative of -124*i**2 + 78 + 3844/3*i**3 + 4*i. Solve c(y) = 0.
1/31
Let p = -203 - -1831/9. Let y = -154333/36 - -17157/4. Factor y*w**2 + 32/9*w + p*w**3 + 16/9.
4*(w + 1)*(w + 2)**2/9
Determine p so that -20488*p**2 + 5943*p**2 + 8 - 9596*p - 14291*p**2 - 2818*p**4 - 6802*p**4 - 28852*p**3 = 0.
-1, 2/2405
Let y(w) = 5*w**4 - 16*w**3 + 43*w**2 - 29*w - 3. Let p = 41 + -38. Let f(s) = -6*s**4 + 16*s**3 - 44*s**2 + 28*s + 4. Let x(c) = p*f(c) + 4*y(c). Factor x(v).
2*v*(v - 4)*(v - 2)**2
Let r(w) be the second derivative of w**4/54 - 259*w**3/27 - 58*w**2 - 80*w - 8. Suppose r(j) = 0. What is j?
-2, 261
Factor -4*b**4 - 2385*b**2 - 46*b**3 + 945*b**2 + 632*b**3 + 142*b**3.
-4*b**2*(b - 180)*(b - 2)
Let v(t) be the second derivative of t**5/80 + 57*t**4/8 - 115*t**3/2 + 173*t**2 - 1304*t. Factor v(f).
(f - 2)**2*(f + 346)/4
Let w = -924/409 + -1479611/5317. Let k = w - -281. Factor k*x + 2/13*x**2 + 4/13.
2*(x + 1)*(x + 2)/13
Let a(h) = 28*h**2 + 44*h - 306. Let k(s) = 86*s**2 + 132*s - 917. Let c(z) = -19*a(z) + 6*k(z). Let c(b) = 0. Calculate b.
-6, 13/4
Let y = -3611254/11 - -328298. Suppose y + 102/11*r**2 + 18/11*r**4 - 2/11*r**5 - 62/11*r**3 - 80/11*r = 0. What is r?
1, 2, 3
Suppose 5*x + 92 = p - 12, 5*p - 5*x - 560 = 0. Solve 36 + 2*v**2 - 12*v**3 - 198*v + p*v**2 + 76 - 42*v = 0.
2/3, 2, 7
Let z(b) be the first derivative of 5/4*b**3 + 0*b**2 + 146 + 0*b - 5/16*b**4. Factor z(d).
-5*d**2*(d - 3)/4
Let x(s) be the second derivative of s**4/6 + 49*s**3/3 - 2*s + 643. Factor x(y).
2*y*(y + 49)
Let k be (17 - 59968/3520)*-55. Factor -33*y - 57/2*y**k - 9/2*y**3 + 36.
-3*(y + 3)*(y + 4)*(3*y - 2)/2
Determine s so that 58 + 3*s**3 + s**3 + 345*s - 347*s - 108*s**2 + 50 - 2*s**3 = 0.
-1, 1, 54
Let c(r) be the first derivative of -r**6/1440 + r**5/48 - 3*r**4/32 + 22*r**3/3 - 16. Let q(o) be the third derivative of c(o). Factor q(z).
-(z - 9)*(z - 1)/4
Let j(c) = 6*c - 103. Let z be j(18). Suppose -z*b + 2*b = -12*b. Let 1/3*s**3 - 1/3*s**2 + b - 2/3*s = 0. Calculate s.
-1, 0, 2
Let t be (-24)/8 - (-62)/2. Solve 32*s**2 - t*s**2 - 19 + 93*s + 42 = 0.
-23, -1/4
Suppose 1655 + 116 = t. Let l = 1773 - t. Factor l*j - 2*j**2 - 4/3*j**3 + 4/3.
-2*(j - 1)*(j + 2)*(2*j + 1)/3
Let p(m) = -23*m + 37. Suppose 0*i = 2*q - 2*i + 26, 6 = 2*i. Let x be p(q). Suppose 268*g**2 - x*g**2 - 3*g + 2*g = 0. Calculate g.
0, 1
Let g(n) be the third derivative of -22*n**2 - 2*n + 0 + 37/60*n**4 + 1/150*n**5 + 0*n**3. Solve g(j) = 0.
-37, 0
Let t(j) be the third derivative of 1/900*j**6 + 44*j**2 + 3/20*j**4 + 27/5*j**3 - 1/30*j**5 + 3*j + 0. Factor t(s).
2*(s - 9)**2*(s + 3)/15
Let 42*k**2 - 113 - 95*k + 45*k**2 + 64 - 12*k**2 - 121 = 0. What is k?
-1, 34/15
Let n(t) be the first derivative of t**5/10 - 3*t**4/4 - 4*t**3 - 13*t**2/2 - 9*t/2 + 2282. Suppose n(a) = 0. Calculate a.
-1, 9
Determine v so that 6*v**3 + 36*v**2 + 146*v**2 - 6295 + 85*v**2 + 2760*v + 1534 = 0.
-23, 3/2
Let r be (-10)/35 - 508/(-14). Solve 4*i**3 + 43*i - r*i**2 - 167 + 59 + 65*i = 0 for i.
3
Suppose -1 = 5*j - 4*j. Let c be (4/(-10))/(((-3)/(-240))/j). Suppose -c*i**3 - 2