1206*x**2 + 596*x**2 - 3*x + 128837*x**3.
-2*x**2*(x - 901)
Let j be (-66)/(-15) - (8/(-20))/(-1). Factor -71874 + 6534*r - 2*r**3 + j*r**3 - 2329*r**2 + 2131*r**2.
2*(r - 33)**3
Suppose -4*b - 268 = -4*u, 0*b - 333 = -5*u + 3*b. Let z = u + -60. Solve r**2 - 8 - z + 13 = 0.
-1, 1
Suppose 2*r - 1204 = -0*r + 4*s, -5*r - 5*s = -3070. Let t = -607 + r. Factor -7/3*f**4 + 0 - 3*f**2 + 0*f + 1/3*f**5 + 5*f**t.
f**2*(f - 3)**2*(f - 1)/3
Let m = -150 - -168. Determine q, given that 32*q**2 - 12*q + 24 + 92 + 15*q - m - 115*q = 0.
7/4
Let u(q) be the second derivative of -q**4/16 - 75*q**3/16 + 351*q**2/16 + 2*q - 494. Factor u(z).
-3*(z + 39)*(2*z - 3)/8
Suppose -4*g - c + 1 = -4*c, 0 = 5*c - 25. Suppose 4*f + 20 = -p + 18, -g = 4*f. Find r, given that -9/2 + 15*r**p + 3*r + 0*r**3 - 21/2*r**4 - 3*r**5 = 0.
-3, -1, 1/2, 1
Suppose 33 = -25*h - 42. Let k be 1/16*-4*2/h. Factor k*o**2 + 5/6*o + 1/2 - 1/6*o**3.
-(o - 3)*(o + 1)**2/6
Let q = -221471 + 2872553/13. Let p = 506 + q. Suppose p*a**4 + 8/13*a - 2/13*a**5 + 0 - 8/13*a**2 - 6/13*a**3 = 0. What is a?
-1, 0, 1, 2
Let g(x) = x**2 - 6*x + 3. Let q be g(6). Let z = -1245 + 1247. Let -11 + o**3 - q*o**z - 11 + 3*o + 21 = 0. Calculate o.
1
Let i(j) = j**3 - 4*j**2 - 8. Let y be i(5). Suppose -25*c = -y*c. Suppose 8/9*f**2 + 0*f - 20/9*f**4 - 8/9*f**5 + c - 4/9*f**3 = 0. What is f?
-2, -1, 0, 1/2
Let p be 20/(-6)*2670/25. Let o = 5348/15 + p. Factor -2/15*d**5 - o*d**2 + 0*d - 2/3*d**4 + 0 - 16/15*d**3.
-2*d**2*(d + 1)*(d + 2)**2/15
Let t = 54 - 33. Let m = t + -16. Factor -36*p**3 + 0*p + 6*p**3 + m*p - 5*p**2.
-5*p*(2*p + 1)*(3*p - 1)
Suppose 18*x + 64 = 20*x. Let t + 13*t**4 - 19*t**4 - 14*t**3 - 8*t**4 + 15*t - 2*t**5 - x + 46*t**2 = 0. Calculate t.
-4, -1, 1
Let k(n) = -4*n**2 + 101*n - 22. Let f be k(25). Suppose 0*l**3 - 2*l**f - 4685*l + 8 + 4693*l - 2*l**2 = 0. Calculate l.
-2, -1, 2
Let i be 2/(4/(-6)) + 2. Let c be (i*3)/(33/(-22)). Solve 0*z**c - z**2 - 39*z + 37*z = 0 for z.
-2, 0
Let j(n) be the second derivative of -64*n**3 - 1 + 512*n**2 + 4*n**4 - 1/10*n**5 - 13*n. Suppose j(w) = 0. What is w?
8
Suppose 67*l - 63*l = 8, t = 2*l + 23. Let h(k) be the first derivative of 19 + 9/8*k**4 + 8*k**3 - t*k + 45/4*k**2. What is p in h(p) = 0?
-3, 2/3
Suppose -b = -3*a - 36, -a + 75 = 3*b + a. Suppose 0 = 12*z - 15*z + b. Let -z + 4*j + 6*j - 2*j**2 + 1 = 0. Calculate j.
1, 4
Let m(r) be the second derivative of 100*r - 30*r**2 - 5/12*r**4 + 0 - 20/3*r**3. Factor m(k).
-5*(k + 2)*(k + 6)
Suppose 10476/5*a - 13718322/5 - 2/5*a**2 = 0. What is a?
2619
Suppose 3*s - 36*s = -14*s - 57. Let r(x) be the second derivative of 5/6*x**s - 8/15*x**6 + 1/5*x**5 + 0 - x**2 + 3/2*x**4 + 17*x - 3/14*x**7. Factor r(d).
-(d - 1)*(d + 1)**3*(9*d - 2)
Let n(b) be the first derivative of b**3/6 - 476*b**2 + 453152*b - 3175. Factor n(d).
(d - 952)**2/2
Let l(b) be the second derivative of -b**6/90 + b**5/20 + 23*b**4/18 + 4*b**3 - 5208*b. Determine g so that l(g) = 0.
-4, -2, 0, 9
Find j such that 32/7*j - 34/7*j**3 + 0 + 12/7*j**2 - 12/7*j**4 + 2/7*j**5 = 0.
-2, -1, 0, 1, 8
Let j(c) be the first derivative of 19/14*c**4 + 86 + 1/21*c**6 - 22/35*c**5 + 0*c + 0*c**2 - 6/7*c**3. Find u such that j(u) = 0.
0, 1, 9
Let x = 18828 + -18826. Suppose -38/3*l**4 - 38/3*l**3 + 20/3*l - 2*l**5 + 0 + 14/3*l**x = 0. Calculate l.
-5, -1, 0, 2/3
Let b(d) be the first derivative of d**6/12 + 5*d**5/2 + 11*d**4 + 14*d**3 + 316. Factor b(g).
g**2*(g + 2)**2*(g + 21)/2
Suppose -118 + 124 = 3*r. Factor 11*q**2 - 272*q + 4*q**r + 7*q**3 - 5*q**3 + q**3 + 290*q.
3*q*(q + 2)*(q + 3)
Let s(u) = 3*u**5 - 9*u**4 - 69*u**3 + 81*u**2 + 66*u - 75. Let g(k) = 1. Let p(a) = 3*g(a) + s(a). Solve p(j) = 0.
-4, -1, 1, 6
Suppose -89*p + 111*p = 0. Suppose p = 5*s - 6 - 9. Solve -2/9*c**s + 10/9*c + 4/3 - 4/9*c**2 = 0.
-3, -1, 2
Suppose 340949 + 604*q**2 - 374976*q - 120*q**2 + 32299 - 2*q**3 - 192*q**2 + 1438*q**2 = 0. Calculate q.
1, 432
Let u(m) be the first derivative of -m**6/1440 - m**5/240 + m**4/32 + 8*m**3/3 + 85. Let z(j) be the third derivative of u(j). Let z(f) = 0. Calculate f.
-3, 1
Suppose -3*p = 2*i - 21, -2*i - 3*p + p + 18 = 0. Let c(r) = r**2 - r - 2. Let u(l) = -l**3 + 22*l**2 - 3*l - 6. Let a(t) = i*c(t) - 2*u(t). Solve a(s) = 0.
0, 19
Let f be -12*(9681/420 + -23)*-5. Factor 0*y**2 + 0*y + 4/7*y**f - 2/7*y**4 - 2/7*y**5 + 0.
-2*y**3*(y - 1)*(y + 2)/7
Let t(v) = -v**2 - 6*v + 186. Let u be t(-17). Let c be 2505/(-1837) - u*2. Suppose 1/11*y**4 + 18/11*y**2 + 8/11 + c*y**3 + 20/11*y = 0. What is y?
-2, -1
Let g(y) be the second derivative of 2/15*y**3 + 1/30*y**4 + 1/5*y**2 + 59*y + 0. Factor g(q).
2*(q + 1)**2/5
Let v(f) = 15*f**2 + 648*f - 698. Let n(k) = 52*k**2 + 2268*k - 2440. Let h(x) = 7*n(x) - 24*v(x). Suppose h(t) = 0. What is t?
-82, 1
Solve -2 - 49/2*a**2 - 65/4*a = 0.
-1/2, -8/49
Let a = 81686 - 245056/3. Solve -a*r**3 - 9/2*r**2 - 8/3 + 1/6*r**4 - 19/3*r = 0.
-2, -1, 8
Let m be -7*(5 + 10/6 + -7). Let w(k) be the second derivative of 0 - 4*k**2 - 6*k**3 - 2*k - m*k**4. Factor w(f).
-4*(f + 1)*(7*f + 2)
Find u, given that 1/5*u**2 + 0 - 34/5*u = 0.
0, 34
Let p be (-7)/(-14)*116/1. Let s = -41 + p. Factor 75 + 9*h**2 - 13*h - 6*h**2 - s*h.
3*(h - 5)**2
Let n = -128945 + 902618/7. Suppose 11/7*v + 6/7 + 3/7*v**2 - 1/7*v**4 - n*v**3 = 0. Calculate v.
-3, -1, 2
Let s = -129 - -134. Let 1649*y**5 + 100*y**4 - 1654*y**s + 700*y**2 + 70 + 50 + 450*y**3 + 475*y = 0. What is y?
-1, 24
Suppose 16 = 4*y, -28 = -13*g + 16*g + 2*y. Let f be 4/50 - g/(-150). Find l such that -1/3*l**3 - 1/3*l + f - 2/3*l**2 = 0.
-1, 0
Suppose 3*f - 52 = z, 3*f - 48 = f + 4*z. Suppose -28 = -f*o + 12*o. Find d, given that -50*d**2 + 25*d + 5*d**5 - 25*d**4 + 50*d**3 - 22 + 3 + o + 7 = 0.
1
Let g = 313 + 1284. Solve 3*c**2 - g*c**3 + 120 + 1600*c**3 - 99*c + 69 = 0 for c.
-7, 3
Let s(l) be the first derivative of -l**3/27 - 247*l**2/18 - 82*l/3 + 324. Determine o, given that s(o) = 0.
-246, -1
Let s(w) be the first derivative of w**3/4 + 75*w**2/4 + 423*w/4 - 1819. Factor s(n).
3*(n + 3)*(n + 47)/4
Suppose 3*h = -g + 26, -3666*h - 46 = -3*g - 3671*h. Factor -1/2*n**g - 18*n - 162.
-(n + 18)**2/2
Find b, given that -201 - 405/2*b - 3/2*b**2 = 0.
-134, -1
Let r = -962143/2 - -481072. Suppose 0 - 2*x**3 - 2*x**2 + 1/2*x**5 + r*x**4 + 0*x = 0. Calculate x.
-2, -1, 0, 2
Solve h**3 + 14/3*h**2 + 50/3 - 155/3*h = 0.
-10, 1/3, 5
Suppose -348843/5*k - 1/5*k**3 + 1023/5*k**2 + 39651821/5 = 0. What is k?
341
Let b be (-1 - 3/(-7))*(-189)/270. Let q be 6/(-16) + 54/16. Factor 4/5*v + b*v**q + 0 + 6/5*v**2.
2*v*(v + 1)*(v + 2)/5
Suppose 0 = -4*l + j - 193, 4*l + j + 108 = -75. Let o = l - -151/3. Determine t so that -o - 5*t**3 - 50/3*t**2 - 15*t = 0.
-2, -1, -1/3
Solve -456/7 - 122/7*o**3 - 1046/7*o + 6/7*o**4 - 718/7*o**2 = 0 for o.
-3, -1, 76/3
Let y(m) be the third derivative of 0*m - m**4 - 12*m**3 + 0 - 216*m**2 - 1/30*m**5. Suppose y(u) = 0. Calculate u.
-6
Let l(f) = f**3 - 11*f**2 + 29*f + 8. Let x be l(6). Factor 6700 - 1148*b + 1464*b + 5782 + 2*b**x.
2*(b + 79)**2
Let l(q) be the third derivative of q**8/1008 - q**7/210 - 7*q**6/180 + q**5/10 + 13*q**4/72 - 5*q**3/6 - 551*q**2 + 1. Let l(c) = 0. What is c?
-3, -1, 1, 5
Factor -34/5*w - 2/5*w**2 + 36/5.
-2*(w - 1)*(w + 18)/5
Suppose 2 - 5 - 1 + 4 = -5451*r. What is w in -2/7*w**3 + r - 6*w**2 - 40/7*w = 0?
-20, -1, 0
Let q = 7232/5789 - 88/827. Suppose 16/7*p + 10/7*p**4 - 2*p**3 - q - 2/7*p**5 - 2/7*p**2 = 0. Calculate p.
-1, 1, 2
Let u(o) be the second derivative of -4*o - 3/40*o**5 - 7 + 9/4*o**3 + 0*o**4 + 0*o**2. Solve u(v) = 0 for v.
-3, 0, 3
What is r in 2/7*r**2 - 198/7*r - 3680/7 = 0?
-16, 115
Suppose -5 = 4*h - 281. Find y, given that 15*y**2 - 1 + 0*y - 4*y**3 - 2*y - h*y**4 + 49*y**4 = 0.
-1, -1/5, 1/2
Let g = -248 - -248. Suppose 3*i = -5*z + 16, i + 5*z + 12 - 24 = g. Suppose 1/4*x**3 + 0 - 1/4*x + 0*x**i = 0. Calculate x.
-1, 0, 1
Let y(p) be the first derivative of 5*p**6/6 - 679*p**5 - 3405*p**4/2 + 6933. Factor y(c).
5*c**3*(c - 681)*(c + 2)
Suppose 0 = -1536*y + 2765 + 3379. Find m, given that -63*m**2 + 0 + 0*m - 6*m**3 - 1/7*m**y = 0.
-21, 0
Let w(q) = -853*q**3 - 24479*q**2 + 3276*q + 1063. Let r(p) = -285*p**3 - 8160*p**2 + 1092*p + 354. Let g(y) = 17*r(y) - 6*w(y). What is a in