 = 272532 - 272529. Determine m so that 0 - 2*m**2 + 0*m + 2*m**4 - 2/3*m**5 + 2/3*m**j = 0.
-1, 0, 1, 3
Let y be (-6)/(6 - 3) - -6. Factor 256*h**y + 40*h + 30*h**3 - 251*h**4 + 29*h**2 + 21*h**2 - 19*h**2 + 29*h**2.
5*h*(h + 2)**3
Suppose 1707*t = -35829 + 39243. Factor 29403/4 + 3/4*u**t + 297/2*u.
3*(u + 99)**2/4
Let n(l) be the second derivative of -4*l + 5/12*l**4 + 12 + 17/12*l**3 - 7*l**2 + 1/40*l**5. Factor n(k).
(k - 1)*(k + 4)*(k + 7)/2
Let n = -234 - -237. Suppose 42*y**n + 38*y**3 + 18*y + 77*y**4 - 45*y**4 + 66*y**2 = 0. What is y?
-1, -3/4, 0
Let j(d) = -20*d**3 - 3898*d**2 - 1267500*d - 137312496. Let a(x) = 68*x**3 + 11693*x**2 + 3802500*x + 411937486. Let g(o) = 2*a(o) + 7*j(o). Factor g(l).
-4*(l + 325)**3
Let l(u) be the first derivative of u**4/2 - 14*u**3/3 - 30*u**2 + 744. Find a such that l(a) = 0.
-3, 0, 10
Let u = -7/132343 + 1550927666/926401. Let l = u + -1673. Let -l*f + 2/7*f**2 + 8/7 = 0. Calculate f.
2
Factor -3*z**3 - 280*z - 59*z**2 + 27*z**2 + 8*z**2 + 7*z**3 - 12*z**2.
4*z*(z - 14)*(z + 5)
Let g(l) = -9*l**2 + 2*l + 7. Let s be 20/120 - (-49)/(-6). Let a(w) = -14*w**2 + 3*w + 11. Let i(h) = s*g(h) + 5*a(h). Solve i(q) = 0 for q.
-1/2, 1
Let q = -381 + 1906/5. Let s = 1708/5 + -341. Solve q*o**2 + 2/5 - s*o = 0.
1, 2
Let g = -94865/241752 + -112/1439. Let a = -1/24 - g. Factor -18/7*u**2 - 3/7 - a*u**4 - 12/7*u**3 - 12/7*u.
-3*(u + 1)**4/7
Let i(v) be the second derivative of 1/30*v**4 - 4/15*v**3 - 9*v + 4/5*v**2 + 0. Factor i(z).
2*(z - 2)**2/5
Let x(s) = 927*s**2 + 11*s - 2. Let a be x(3). Determine j so that -8374 + a + 15*j + 5*j**3 - 20*j**2 = 0.
0, 1, 3
Find h such that 691*h - 4*h**2 - 93636 - 146*h + 725*h - 46*h = 0.
153
Let l(b) be the second derivative of -b**7/28 - 19*b**6/20 - 81*b**5/10 - 16*b**4 + 64*b**3 + b + 2759. Let l(m) = 0. Calculate m.
-8, -4, 0, 1
Let x(i) = -5*i**3 + 345*i**2 + 701*i - 1053. Let l(z) = 6*z**3 - 345*z**2 - 702*z + 1056. Let f(s) = 4*l(s) + 5*x(s). Let f(v) = 0. Calculate v.
-3, 1, 347
Suppose -340*n - 204 = -391*n. Let q(p) = p**2 + 11*p - 24. Let y be q(-13). Find r such that 0 - r**5 - 1/4*r + 5/4*r**3 - 3/4*r**y + 3/4*r**n = 0.
-1, -1/4, 0, 1
Factor 2*t + 0*t**3 + 0 + 7/3*t**2 - 1/3*t**4.
-t*(t - 3)*(t + 1)*(t + 2)/3
Factor 3*x**2 + 507529 + 5364785 + 12972*x + 5625910 + 2524508.
3*(x + 2162)**2
Suppose 1465*j - 415*j**2 - 28*j**3 - 34*j - 506*j + 3007*j + 1032 + 1527*j**2 = 0. What is j?
-3, -2/7, 43
Let n = 105 - 94. Suppose 0 = 2*l + 2*y - 4, 4*l = 13*y - n*y + 20. Suppose -7*v + 67*v + 0 + 96*v**4 + 64*v**5 - 4 - l - 88*v**2 - 124*v**3 = 0. What is v?
-2, -1, 1/4, 1
Let -1120*m**2 + 27*m**3 - 19013 - 55953 + 5711 - 19440*m - 230*m**2 + 13*m**3 + 5*m**4 = 0. Calculate m.
-9, 19
Let s(q) = 12*q**2 + 36*q + 72. Let i(f) = -11*f**2 - 37*f - 75. Let t(a) = 8*i(a) + 7*s(a). Determine b, given that t(b) = 0.
-8, -3
Let k(x) = -x + 29. Let u be k(25). Suppose 10*n = 8*n + u. Determine o so that -3*o**2 + 17*o**5 - 18*o**3 - 3*o**n - 9*o**3 + o**5 - 21*o**4 = 0.
-1/2, -1/3, 0, 2
Let t(s) be the second derivative of -s**7/42 - 6*s**6/5 - 87*s**5/10 + 821*s**4/3 + 2317*s**3/2 + 1764*s**2 + 6052*s. Determine q, given that t(q) = 0.
-21, -1, 8
Let p(o) be the first derivative of 205/4*o**4 + 180*o + 255 + 4*o**5 + 885/2*o**2 + 710/3*o**3. Factor p(b).
5*(b + 3)**2*(b + 4)*(4*b + 1)
Let q(d) = -2*d**5 + 178*d**4 + 496*d**3 + 474*d**2 + 10. Let w(k) = 2*k**5 - k**4 + k**3 + k**2 - 1. Let g(r) = 2*q(r) + 20*w(r). Factor g(y).
4*y**2*(y + 2)*(3*y + 11)**2
Suppose 18 - 1/8*t**3 + 5/4*t**2 + 87/8*t = 0. Calculate t.
-3, 16
Let i = 20304 - 20304. Let -2/15*n**2 + i + 14/5*n = 0. What is n?
0, 21
Suppose 18*h - 105 = -3*w + 9, -2*h + 20 = 4*w. Factor 3/2*v + 1/4*v**w + 0.
v*(v + 6)/4
Let h = -202 - -227. Solve 112*p**4 - 172*p**4 - 75*p**5 - h*p**3 + 13*p**3 = 0.
-2/5, 0
Let a(d) = 5*d**4 + 5*d**3 - 19*d**2 - 21*d - 20. Let x(t) = 27*t**4 + 25*t**3 - 96*t**2 - 105*t - 110. Let s(y) = -11*a(y) + 2*x(y). Factor s(u).
-u*(u - 3)*(u + 1)*(u + 7)
Suppose -458 = -868*p + 261 + 1017. Solve 2/5*q**p - 6/5*q + 4/5 = 0.
1, 2
Let j = 680563/7 - 96120. Let b = -1101 + j. Let b*z**4 + 0 - 4/7*z + 4*z**3 + 8/7*z**2 = 0. What is z?
-1, 0, 1/4
Let z(k) be the second derivative of 5/4*k**4 - 1/30*k**6 - 3/5*k**5 + 92*k + 0 + 13/3*k**3 + 0*k**2. Factor z(l).
-l*(l - 2)*(l + 1)*(l + 13)
Let f = 543 - 298. Let d be (-6)/((-126)/f) - -5. Find p such that d*p**3 + 248/3*p - 16 - 340/3*p**2 = 0.
2/5, 6
Let u(v) = -857*v**2 + 11141*v + 2. Let t be u(13). Let 9/5*k**3 + 3/5*k**4 - 6/5 + 3/5*k**t - 9/5*k = 0. Calculate k.
-2, -1, 1
Find f such that 1997806*f**2 - 2140*f**4 - 4700224 + 1871580*f - 186316*f + 41134*f**2 + 278620*f**3 + 699536*f + 4*f**5 = 0.
-4, 1, 271
Factor -28/3*k**2 + 0 - 19*k**3 - 1/3*k**5 + 0*k - 10*k**4.
-k**2*(k + 1)**2*(k + 28)/3
Let m = -59/12 + 21/4. Let a = 3421/5127 + -1/1709. Factor -1/3*y**4 + m*y**3 - 1/3*y + y**2 - a.
-(y - 2)*(y - 1)*(y + 1)**2/3
Let k(j) be the first derivative of 0*j**2 + 0*j**3 - 1/2*j**6 - 35 + 11/15*j**5 - 1/6*j**4 + 0*j. Suppose k(r) = 0. What is r?
0, 2/9, 1
Let l = -1043 + 207. Let t = -836 - l. Factor -2/7*y**2 + 0 + t*y.
-2*y**2/7
Let k(l) be the second derivative of 5*l - 1/20*l**4 - 3*l**3 + 1 - 135/2*l**2. Factor k(u).
-3*(u + 15)**2/5
Let j be (-2)/(-6 - 8000/(-1334)). Let v = j - 7329/11. Determine g, given that v*g - 24/11 + 2/11*g**2 = 0.
-6, 2
Let j(b) be the third derivative of -b**6/60 - 2*b**5/3 + 163*b**4/12 + 182*b**3/3 - 4288*b**2. What is g in j(g) = 0?
-26, -1, 7
Let i(z) = -z**2 + 21*z - 88. Let j be i(15). Let p(b) be the second derivative of j*b**2 - 2*b + 0 + 1/6*b**4 + b**3. Find o, given that p(o) = 0.
-2, -1
Factor 357 + 3/2*t**2 - 123/2*t.
3*(t - 34)*(t - 7)/2
Suppose 0 = 5*c - 162 - 108. Let o be (c/(-8))/(36/(-192)). Determine t, given that -12*t**2 + o*t**2 - 20*t**2 = 0.
0
Let g = -696 + 768. Let y be 7 + (-123)/g*4. Solve 1/6*w**3 + 0 + 0*w + y*w**2 = 0 for w.
-1, 0
Let x be (0 + 52)*((-25344)/(-2808))/176. Factor 264*r + 6534*r**2 + x.
2*(99*r + 2)**2/3
Let w(z) be the first derivative of 2*z**3/21 - 53*z**2/7 - 456*z/7 + 1705. Let w(g) = 0. What is g?
-4, 57
Suppose -123 = -16*a - 251*r + 246*r, -3*a - 3*r + 54 = 0. Let n = 33/20 + -7/5. Factor 1/2*o**2 + 1/2 + o**a + n*o**5 - o**4 - 5/4*o.
(o - 2)*(o - 1)**3*(o + 1)/4
Let n(m) be the third derivative of -m**5/20 + 171*m**4/2 - 26*m**2 + 8*m + 1. Find w, given that n(w) = 0.
0, 684
Let l(j) be the second derivative of -5*j**7/42 + 6*j**5 + 80*j**4/3 + 40*j**3 + j + 157. Determine h, given that l(h) = 0.
-2, 0, 6
Let w(a) be the third derivative of a**6/180 + 43*a**5/45 + 163*a**4/12 + 80*a**3 + 4*a**2 + 2*a - 268. Solve w(k) = 0.
-80, -3
Let c(n) be the third derivative of -25*n**2 - 1/96*n**6 + 1/280*n**7 - 1/12*n**3 + 0*n + 0 + 1/672*n**8 - 3/32*n**4 - 13/240*n**5. Factor c(t).
(t - 2)*(t + 1)**3*(2*t + 1)/4
Let b(k) be the third derivative of k**6/240 - 3*k**5/80 - k**4/4 + 11*k**3/2 - 39*k**2. Let g(o) be the first derivative of b(o). Factor g(u).
3*(u - 4)*(u + 1)/2
Let d(l) = -4*l**3 - 61*l**2 + 51*l - 22. Let r be d(-16). Let v be 12/360*12 - (-8)/r. Let 0*u**3 - 4/7*u**2 - 2/7*u + 4/7*u**4 + 0 + v*u**5 = 0. Calculate u.
-1, 0, 1
Let a(n) be the third derivative of 3*n**7/175 + 259*n**6/300 - 191*n**5/75 - 129*n**4/5 + 24*n**3 - 5378*n**2. Find o such that a(o) = 0.
-30, -2, 2/9, 3
Let u(p) be the first derivative of 0*p**2 - 10*p**4 - 20/3*p**3 - 6*p**5 - 4/3*p**6 + 2*p - 160. Factor u(f).
-2*(f + 1)**4*(4*f - 1)
Let m(v) be the second derivative of -1/8*v**4 + 5/24*v**3 + 0*v**2 + 23*v + 1/80*v**5 + 1. Let m(y) = 0. Calculate y.
0, 1, 5
What is b in -90*b**2 - 32/7*b**3 + 2/7*b**4 - 80 - 1156/7*b = 0?
-10, -1, 28
Let t(x) = 15*x**2 - 1086*x - 712. Let l(g) = -60*g**2 + 4340*g + 2850. Let f(h) = -4*l(h) - 15*t(h). Solve f(c) = 0.
-2/3, 72
Let c(k) be the first derivative of -50 - 8748/13*k**2 + 108/13*k**3 + 314928/13*k - 1/26*k**4. Factor c(a).
-2*(a - 54)**3/13
Suppose 0*c = c + 78. Let l = -76 - c. Find q such that 6*q + 1430*q**4 - 220*q**l - 345*q**3 - 26*q - 645*q**5 - 200*q**5 = 0.
-2/13, 0, 1
Let u be 36/(-45) + (42/(-5))/(-3). Factor 6*z**u - 110*z**3 - 5*z**4 + 7*z**2 + 90*z**3 + 12*z**2.
-5*z**2*(z - 1)*(z + 5)
Let u(i) = -2*i**2 + 33*i - 122. 