at 561*g + 1041*g**2 + 240*g - 116*g - 6 = 0.
-2/3, 3/347
Let v be -4*(-3)/(-6)*-1 - 32. Let m be 22/6 + (-40)/v + -3. Factor 0*n + 1/9*n**3 + 0 + 4/9*n**m.
n**2*(n + 4)/9
Suppose -n - 105 = -108. Determine a so that -227 - 1315 - 384*a + 2292*a**2 - 3*a**5 - 241*a**n - 87*a**4 - 1530 - 239*a**3 = 0.
-16, -1, 2
Factor 150*g**2 - 139*g**2 - 146 - 30 - 16*g + g**3.
(g - 4)*(g + 4)*(g + 11)
Let s be 20/(-1 + 401)*2. Let f(x) be the first derivative of 1/20*x**4 - 9 + 1/5*x**3 - 3/5*x - s*x**2. Factor f(p).
(p - 1)*(p + 1)*(p + 3)/5
Suppose 2*x - 5*y + 44 = 64, x = 3*y + 12. Solve -1/7*h**2 + x + 0*h = 0.
0
Let f(w) be the third derivative of w**7/35 + 4*w**6/15 + 23*w**5/30 + w**4/2 - 6*w**2 - 211*w. Let f(a) = 0. What is a?
-3, -2, -1/3, 0
Let y(q) be the second derivative of q**6/72 + q**5/6 - 25*q**4/24 - 49*q**3/3 + 14*q. Let b(j) be the second derivative of y(j). Let b(i) = 0. Calculate i.
-5, 1
Factor 1440 + 42758*g**2 + 2928*g + 242*g**3 + 43635*g**2 - 128499*g**2 + 43844*g**2.
2*(g + 5)*(11*g + 12)**2
Let t = -395 + 396. Let j be 5*t*(-46)/(-575). Factor -16/5*b**2 - 36/5 - j*b**3 - 42/5*b.
-2*(b + 2)*(b + 3)**2/5
Let m = 290609 - 290609. Suppose 4*d**2 + 1/2*d**4 - 5/2*d**3 + m - 2*d = 0. Calculate d.
0, 1, 2
Let o = 1074 - 1065. Suppose -7 = -4*q + o. Factor -3/4*z**2 - 1/4*z - 3/4*z**3 - 1/4*z**q + 0.
-z*(z + 1)**3/4
Let m(i) be the third derivative of i**5/450 + 43*i**4/45 + 224*i**3/15 - i**2 - 1026. Factor m(o).
2*(o + 4)*(o + 168)/15
Suppose -158*n - 285*n = 0. Find t such that 1/2*t**4 + n - 3/2*t**2 + 0*t**3 - t = 0.
-1, 0, 2
Let q(c) be the first derivative of 13/2*c**2 - 1/12*c**4 + 2*c**3 + 20/3*c - 29. Let q(w) = 0. What is w?
-1, 20
Let h be -6 - (-3 - 9105/(-6)). Let g = -1519 - h. Determine i, given that 3/2*i**5 + 0 - g*i**4 + 0*i**2 + 3/8*i**3 + 0*i = 0.
0, 1/2
Let u be (-1)/(-3) + (-3)/9. Let s = -199259 + 199262. Find h, given that u*h + 0*h**s + 2/3*h**4 - 2/3*h**2 + 0 = 0.
-1, 0, 1
What is p in -40/7*p**3 - 156/7 - 328/7*p - 212/7*p**2 = 0?
-3, -13/10, -1
Let p(a) be the first derivative of -a**8/224 - a**7/70 + a**5/20 + a**4/16 + 86*a**2 + 160. Let b(x) be the second derivative of p(x). Factor b(q).
-3*q*(q - 1)*(q + 1)**3/2
Suppose 307 + 653 = 20*n. Let o be (7 + (-368)/n)/((-1)/3). Find u, given that -1/3*u**2 - 5/3*u - o = 0.
-3, -2
Let x(d) = -785*d - 5490. Let w be x(-7). What is f in -2/3*f**3 + 7/3*f**w + 0 + 0*f**2 + 0*f - 5/3*f**4 = 0?
-2/7, 0, 1
Let m(q) be the third derivative of 0*q + 0 - 245/18*q**3 - 35/8*q**4 - 5/12*q**5 - 151*q**2 - 1/72*q**6. Factor m(g).
-5*(g + 1)*(g + 7)**2/3
Let x(g) be the second derivative of -40*g - 7/10*g**2 + 1/2*g**3 - 1/30*g**4 - 7/50*g**5 + 2 - 1/210*g**7 + 3/50*g**6. Suppose x(w) = 0. Calculate w.
-1, 1, 7
Factor 294/5 - 294/5*b**2 - 3/5*b**3 + 3/5*b.
-3*(b - 1)*(b + 1)*(b + 98)/5
Let q be (69/12 + -5)/((-68)/(-340)). Factor -2*z**2 + 1/4*z**3 + q*z + 0.
z*(z - 5)*(z - 3)/4
Let x(v) = -155*v**2 - 3910*v + 820. Let w(t) = 39*t**2 + 978*t - 200. Let s(y) = 15*w(y) + 4*x(y). Factor s(a).
-5*(a + 28)*(7*a - 2)
Suppose 81 = -y + 83. Factor 706*h - 709*h - 4*h**4 + 3*h**y + h**2 + 2*h**3 + h**5.
h*(h - 3)*(h - 1)**2*(h + 1)
Let a(b) = -5*b**2 - 168*b + 459. Let s(d) = 19*d**2 + 669*d - 1833. Let p(m) = 23*a(m) + 6*s(m). Find y such that p(y) = 0.
3, 147
Let a(o) be the second derivative of 23*o + 0 + 98/3*o**3 - 3/2*o**2 + 7/3*o**4 + 1/15*o**5. Let k(b) be the first derivative of a(b). Factor k(s).
4*(s + 7)**2
Suppose -97 + 0 - 2*l**2 - 17 - 113 - 703 - 932*l = 0. Calculate l.
-465, -1
Let t = 1298 + -1298. Let o = -69 + 71. Solve 2/3*i**o + t - 2/3*i**3 + 0*i = 0 for i.
0, 1
Let -2073/4*l + 1432443/8 + 3/8*l**2 = 0. What is l?
691
Factor -16880 + 295664 + 280896*r + 2116*r**2 - 219249*r**3 + 219253*r**3.
4*(r + 1)*(r + 264)**2
Let u(q) be the second derivative of q**5/170 + 11*q**4/102 + 10*q**3/51 - 9819*q. Factor u(d).
2*d*(d + 1)*(d + 10)/17
Factor -32/3 - 188/9*w - 86/9*w**2 + 2/9*w**4 + 8/9*w**3.
2*(w - 6)*(w + 1)**2*(w + 8)/9
Factor 0 + 63/2*i**2 + 33*i - 3/2*i**3.
-3*i*(i - 22)*(i + 1)/2
Let k(g) = g**4 - g**3 + 1. Let z(u) = -u**4 + 22*u**3 + 33*u**2 + 18*u - 4. Let i = -169 + 165. Let a(n) = i*k(n) - z(n). Suppose a(b) = 0. What is b?
-3, -2, -1, 0
Let r(d) = -11*d**2 + 2091*d + 324. Let q(c) = 21*c**2 - 4182*c - 649. Let h(p) = -6*q(p) - 15*r(p). Find s such that h(s) = 0.
-2/13, 161
Let a(h) = -32*h + 134. Let m be a(4). Let y(b) = -b**3 - b + 2. Let d(u) = u**3 - u**2. Let n(i) = m*d(i) + 3*y(i). Find w, given that n(w) = 0.
-1, 1, 2
Solve 72*z**3 - 22/3*z**2 + 22/3*z**4 + 0 - 72*z = 0.
-108/11, -1, 0, 1
Let u be (-1 + (-239)/(-3))*(-18)/(-12). Let h = u + -116. Factor -22*k**h + k - 18*k - 4*k**4 + 28*k**3 - 26*k**2 + k + 64.
-4*(k - 4)*(k - 2)**2*(k + 1)
Suppose 28*x**2 - 22*x**3 - 58*x**2 + 6400 - 286*x**2 + 6080*x + 26*x**3 = 0. What is x?
-1, 40
Let a(z) be the second derivative of z**7/42 + 6*z**6/25 + 24*z**5/25 + 61*z**4/30 + 5*z**3/2 + 9*z**2/5 - 455*z. Factor a(q).
(q + 1)**3*(q + 3)*(5*q + 6)/5
Let w(y) be the second derivative of -y**6/10 - 24*y**5/5 - 31*y**4/4 - 640*y. Determine n so that w(n) = 0.
-31, -1, 0
Factor 600*s**2 + 36*s**5 - 144*s**3 - 39*s**5 - 26*s**4 + 26*s**4 + 462*s**3 + 477*s + 54*s**4 + 138.
-3*(s - 23)*(s + 1)**3*(s + 2)
Let g(p) be the second derivative of -p**7/14 - 9*p**6/10 + 27*p**5/10 + 17*p**4 - 60*p**3 - 2*p + 1368. Suppose g(j) = 0. What is j?
-10, -3, 0, 2
Suppose 5*y - 4*y - 83 = -2*b, 3*y - 167 = -4*b. Factor 2*d**2 - 7 + 20*d + 5*d**2 - 5*d**2 - b.
2*(d - 2)*(d + 12)
Let c be (6/(-4))/((-3)/6). Let a = -289188 + 289188. Solve 3/2*l**5 - 3/2*l**2 + 3/2*l**4 - 3/2*l**c + a*l + 0 = 0.
-1, 0, 1
Suppose 7*q = 3*w + 8*q, 0 = -4*w - 5*q - 22. Factor -10/3*z**5 + 0*z - 8*z**4 - 6*z**3 - 4/3*z**w + 0.
-2*z**2*(z + 1)**2*(5*z + 2)/3
Let b(i) be the third derivative of -i**5/40 + 113*i**4/8 + 227*i**3/4 - 25*i**2. Solve b(t) = 0.
-1, 227
Let w be ((-12)/(-48))/(0 + (-5)/(-60)). Let p(y) be the first derivative of -5/8*y**2 - 1/12*y**w + 3/2*y + 19. Determine d so that p(d) = 0.
-6, 1
Let i = -132/1547 - -3754/7735. Let -2/5 + 4/5*s - i*s**2 = 0. Calculate s.
1
Let -4*g**3 + 418*g - 1030*g + 368*g + 164*g**2 + 588*g = 0. What is g?
-2, 0, 43
Let v = -33 + 36. Suppose 0 = -5*x - 0*x - 3*z + 215, -x + v*z = -25. Factor x*r - 3*r**2 - r**2 - 14 - 86.
-4*(r - 5)**2
Let v(h) = -5*h**3 - 6*h**2 - 3*h - 3. Let z(o) = -16*o**3 - 18*o**2 - 10*o - 10. Suppose 295 = 5*x + 310. Let m(n) = x*z(n) + 10*v(n). What is b in m(b) = 0?
-3, 0
Suppose 4*k + q = 3*q + 24, -5*k = 5*q - 15. Determine r, given that -r + 19 - 27*r + k + 4*r**2 = 0.
1, 6
Let w = 722 - 720. Factor 44*o**2 - 36*o + 362*o**4 - 41*o**w + 36*o**3 - 365*o**4.
-3*o*(o - 12)*(o - 1)*(o + 1)
Let f be -510*(-13)/(455/(-112)). Let b = -1627 - f. Factor -3/5*s**4 - 1/5*s**3 + 1/5*s**b + 11/5*s**2 + 4/5 - 12/5*s.
(s - 2)*(s - 1)**3*(s + 2)/5
Let d = 3251 - 275. Let g be ((d/15)/(-4))/(2/(-10)). Find r such that -85*r**2 + 400*r - 124*r**3 - g - 72 + 129*r**3 = 0.
1, 8
Let t(j) be the second derivative of 16*j**7/63 - 449*j**6/90 + 791*j**5/30 - 49*j**4/36 - 2155*j. Factor t(q).
q**2*(q - 7)**2*(32*q - 1)/3
Let w(v) = v**3 - 15*v**2 - 56*v + 38. Let p be w(18). Let 2*r + 74*r**2 - p*r - 9*r**3 + 3*r**4 - 86*r**2 = 0. Calculate r.
-1, 0, 4
Factor -146/3*d**2 + 178/3*d - 32/3.
-2*(d - 1)*(73*d - 16)/3
Let l be 2 - (-7 + 8/2 - -3). Let -8*j + 24 + 90*j**2 - 12 - l*j - 88*j**2 = 0. What is j?
2, 3
Let i(b) be the third derivative of 27*b**6/10 + 66*b**5/5 + 38*b**4/3 + 16*b**3/3 + 135*b**2 - 3*b. Factor i(r).
4*(r + 2)*(9*r + 2)**2
Factor 135*g**3 + 1080*g - 5/2*g**4 - 1485/2*g**2 + 0.
-5*g*(g - 48)*(g - 3)**2/2
Let o(k) be the second derivative of -k**7/147 + 2*k**6/21 - 33*k**5/70 + 22*k**4/21 - 20*k**3/21 - 577*k. Find s, given that o(s) = 0.
0, 1, 2, 5
Let l = -3/856 - -2143/856. Let k be ((-16)/28)/2 - 1060/(-280). Factor -l*c - 1 + k*c**2.
(c - 1)*(7*c + 2)/2
Suppose 14/5*n**3 + 234/5*n**2 - 56 + 912/5*n = 0. Calculate n.
-10, -7, 2/7
Suppose 0 = 11*j - 59 + 15. Factor -6*m**3 - 4*m**3 + 170*m**2 - 155*m**2 - 5*m**j.
-5*m**2*(m - 1)*(m + 3)
Find l, given that -l**2 - 816*l - 15012 + 56628 + 5*l**2 = 0.
102
Let x = 1668493/6009 + 2/2003. Let b = x - 277. Factor b*l - 2/3*l**2 +