 = 0.
0, 3/7, 3, 11
Find w such that -2106 - 1293*w - 5061*w**3 + 298*w**4 + 14361*w**3 - 17280*w**2 + 11769*w - 48*w**4 = 0.
-39, 3/5
Let r(i) = i**4 - 89*i**3 - 355*i**2 + 138*i + 1925. Let m(v) = 2*v**4 - 266*v**3 - 1066*v**2 + 412*v + 5774. Let b(p) = 5*m(p) - 14*r(p). Factor b(a).
-4*(a - 2)*(a + 4)**2*(a + 15)
Suppose 32*w = 6*w + 78. Let b(r) = -r**3 + 48*r - 126. Let q(i) = -i**3 + 48*i - 125. Let j(u) = w*b(u) - 2*q(u). Factor j(l).
-(l - 4)**2*(l + 8)
Suppose 2*h - 2*s - 19 = 3*s, 3*h = 5*s + 36. Suppose -2*y = c - 7, 5*y + 1 = -2*c + h. What is u in -2/3 + 2*u + 2/3*u**3 - y*u**2 = 0?
1
Let r(d) = -d - 1. Let w = -56 - -50. Let v be r(w). Factor -v*q**4 - 662*q + 5*q**3 + 662*q.
-5*q**3*(q - 1)
Factor 2/7*j**3 + 722/7 + 726/7*j**2 + 1446/7*j.
2*(j + 1)**2*(j + 361)/7
Let x be (24/(-8) - -3)/(-3). Suppose x = -22*q + 15*q + 21. Find b such that -2/19*b**q - 216/19*b - 36/19*b**2 - 432/19 = 0.
-6
Suppose -4*b + p + 12 = 0, -3*p - 1 = 11. Let g = -78 + 80. What is i in -8 - 6*i**3 + 31*i - b*i**g + 6 - 25*i + 4*i**2 = 0?
-1, 1/3, 1
Suppose -4675*c + 31292 - 77*c**2 - 33712 + 497*c**2 + 185*c**3 + 4*c**4 + 6*c**4 = 0. What is c?
-11, -1/2, 4
Let x be (-47)/329 - (-1550)/1050. Factor -x*v**3 + 5/3*v**2 - 1/3*v**4 + 0*v + 0.
-v**2*(v - 1)*(v + 5)/3
Let x(f) = f + 26. Let h(i) = -i**2 + 16*i - 184. Let n(q) = -h(q) - 5*x(q). Factor n(c).
(c - 18)*(c - 3)
Let r(z) = 18*z**2 - 20*z - 110. Let f be r(-2). Determine j, given that -72/7 + 384/7*j + 6/7*j**5 - 626/7*j**f - 86/7*j**4 + 394/7*j**3 = 0.
1/3, 1, 6
Let k(h) = 8210*h - 49254. Let a be k(6). Let a*t + 4/3*t**2 + 8/3 = 0. Calculate t.
-4, -1/2
Suppose -131 - 877 = -6*z. Suppose -18*r + z = -12*r. Let -29*q**3 + 5*q**5 + 5*q - r*q**3 + 47*q**3 = 0. What is q?
-1, 0, 1
Let o(k) be the third derivative of -k**5/150 + 493*k**4/15 - 972196*k**3/15 + 1288*k**2. Factor o(l).
-2*(l - 986)**2/5
Let q(k) be the third derivative of 32*k**3 + 0*k - 16/3*k**4 + 2/315*k**7 + 4/45*k**6 - 8/45*k**5 - 48*k**2 + 0. Determine u, given that q(u) = 0.
-6, 2
Let h be ((-476)/49 + 10)*14/2. Factor 115*r + 117*r - 350*r - r**h + 117*r.
-r*(r + 1)
Let x(g) be the first derivative of 80*g**2 + 114 - 6*g**3 - 354*g + 2*g**3 + 466*g. Solve x(f) = 0 for f.
-2/3, 14
Let p be ((-72)/(-63))/(153/315 - (-1)/(-5)). Determine n, given that -4/21*n**2 - 2/21*n**3 + 2/21*n**5 + 0 + 0*n + 4/21*n**p = 0.
-2, -1, 0, 1
Let a(t) be the first derivative of -6*t**5/55 - 117*t**4/22 - 76*t**3/11 + 1987. Solve a(x) = 0 for x.
-38, -1, 0
Let x be (22/(-264)*18)/((-3)/10). Suppose -2*a - 17*g + 14 = -12*g, 0 = -x*a - 3*g + 16. Solve 15/2 - 5/4*w**a + 5/4*w = 0.
-2, 3
Let j = 88510 - 177009/2. Suppose -11/4*w**3 - 1/4*w**4 + 15*w + 18 - j*w**2 = 0. What is w?
-6, -1, 2
Let u = 17106 + -17106. Let l(x) be the third derivative of u - 6*x**2 + 1/4*x**4 + 1/40*x**5 + 0*x**3 + 0*x. Factor l(k).
3*k*(k + 4)/2
Suppose -3809 = -5*t + 2926. Let j = t - 1345. What is x in -6/5*x**3 + j*x + 4/5 - 8/5*x**2 = 0?
-2, -1/3, 1
Factor -3/7*v**2 + 120/7 - 9/7*v.
-3*(v - 5)*(v + 8)/7
Let t = -94 + 103. Suppose t*d + 36 = 21*d. Factor 0 - 1/2*l**d + 3*l + 1/2*l**2.
-l*(l - 3)*(l + 2)/2
Let f(q) = q**4 + q**3 - q**2 - q - 1. Let r(d) = -33*d**4 + 9*d**2 + 9*d + 9. Let n(u) = 9*f(u) + r(u). Factor n(z).
-3*z**3*(8*z - 3)
Let d(r) be the third derivative of -27/8*r**4 + 39*r**2 + 3/40*r**6 + 1/20*r**5 + 0*r + 0 - 9/2*r**3. Determine x so that d(x) = 0.
-3, -1/3, 3
Let h(c) be the second derivative of -c**4/6 + 145*c**3 + 1314*c**2 - 3275*c. Solve h(w) = 0.
-3, 438
Let r(j) be the third derivative of -j**6/420 - 17*j**5/105 - 65*j**4/84 - 32*j**3/21 + 29*j**2 + 10. What is n in r(n) = 0?
-32, -1
Solve 256*d + 0 - 6 + 14*d**2 + 6 - 13*d**2 = 0.
-256, 0
Let a(t) = 5*t**2 - 2*t + 50. Suppose -5*b + 15 = 0, -3*w - 5*b + 6 = -9*b. Let f(m) = -6*m**2 + m - 55. Let h(z) = w*f(z) + 7*a(z). Factor h(i).
-(i - 2)*(i + 10)
Let 3/2*u**2 + 39*u - 840 = 0. What is u?
-40, 14
Let m(p) = -20*p**2 + 780*p + 3104. Let r(n) = -3*n**2 - n + 2. Let w(b) = m(b) - 8*r(b). Factor w(c).
4*(c + 4)*(c + 193)
Let i(s) be the second derivative of -s**2 + 1/24*s**4 - 61*s + 0 + 1/3*s**3 - 1/40*s**5. Determine n so that i(n) = 0.
-2, 1, 2
Let g = -1/4667 + 4683/74672. Let x(h) be the first derivative of 0*h**2 + g*h**4 + 21 - 1/4*h**3 + h. Factor x(n).
(n - 2)**2*(n + 1)/4
Suppose -8*x = -236 - 124. Let r = x - 42. Factor 242 + 4*l**r + 2*l**2 - 242 + 2*l**4.
2*l**2*(l + 1)**2
Let y(u) be the third derivative of 0*u**3 + 0 - 25*u - 7/30*u**5 - u**2 - 1/6*u**4. Factor y(o).
-2*o*(7*o + 2)
Let g(u) be the first derivative of u**4 + 306 + 0*u - 224*u**2 - 160/3*u**3 + 4/5*u**5. Determine l, given that g(l) = 0.
-4, 0, 7
Let d(o) be the first derivative of -5*o**4 + 628*o**3/3 - 2118*o**2 - 2772*o + 11452. Find x, given that d(x) = 0.
-3/5, 11, 21
Let i(d) = -97*d**2 - 89*d + 23. Let l(n) = -7*n**2 - 11*n - 1. Let k(g) = 2*i(g) - 10*l(g). Factor k(r).
-4*(r + 1)*(31*r - 14)
Let z = -4 + 9. Let u(q) = -15*q**2 - 85*q - 10. Let r(w) = -16*w**2 - 85*w - 12. Let i(j) = z*r(j) - 4*u(j). What is d in i(d) = 0?
-4, -1/4
Let v = -71 + 67. Let g be (6/v - 0)/(11/(-22)). Factor z**3 - 4*z**4 - 16*z + 0*z**3 - 4 + 5*z**3 - 24*z**2 - 22*z**g.
-4*(z + 1)**4
Let i be (-30)/8*(-1216)/912. Determine t so that 1/3*t - 1/6*t**3 + 1/2*t**4 - 1/6*t**i - 1/2*t**2 + 0 = 0.
-1, 0, 1, 2
Let z be 2 - 9/(45/(-40)). Let w be (-80)/12*(-36)/z. Solve -w*p**2 + 2*p + 13 + 4*p**2 + 10*p - 5 = 0.
-2/5, 1
Let f(t) be the third derivative of t**5/240 + 5*t**4/2 + 239*t**3/24 - 1634*t**2 + t. Let f(y) = 0. Calculate y.
-239, -1
Factor -3/2*v + 5/4*v**2 - 1/4*v**3 + 0.
-v*(v - 3)*(v - 2)/4
Let n(u) be the first derivative of 5*u**4/6 + 38*u**3/3 + 24*u**2 + 40*u/3 - 3308. What is w in n(w) = 0?
-10, -1, -2/5
Let w(n) be the second derivative of -n**5/50 + n**4/30 + 10*n**3/3 + 48*n**2/5 - 685*n + 2. Solve w(g) = 0.
-6, -1, 8
Let y = -476 + 479. Let i be ((-2)/y)/(19/(-57)). What is l in 0*l**2 + 0 + i*l - 1/2*l**3 = 0?
-2, 0, 2
Factor 965042 + 5010*k + 61*k**2 + 1126633 - 138*k**2 + 80*k**2.
3*(k + 835)**2
What is h in 0 - 299*h**2 + 1/5*h**5 + 43/5*h**4 + 1058/5*h + 393/5*h**3 = 0?
-23, 0, 1, 2
Let p be 2728/56 + (-42 - -9). What is a in -14*a**3 - 4/7*a - 6*a**5 + 0 - p*a**4 - 34/7*a**2 = 0?
-1, -1/3, -2/7, 0
Let i(j) = 3*j**4 - 35*j**3 - 261*j**2 - 583*j - 5. Let w(q) = 5*q**4 - 71*q**3 - 523*q**2 - 1167*q - 9. Let l(d) = -9*i(d) + 5*w(d). Find t such that l(t) = 0.
-7, -6, 0
Let g(b) be the first derivative of b**3/18 + 347*b**2/6 + 120409*b/6 + 1713. Find n, given that g(n) = 0.
-347
Let g be 20 + 2/(-4)*0/2. Suppose -4*y + 0*y = -2*x + g, y = -x + 1. Factor -12*v**3 - 76/5*v**x - 28/5*v**5 + 0 - 4/5*v**2 + 8/5*v.
-4*v*(v + 1)**3*(7*v - 2)/5
Let g(i) be the second derivative of i**7/49 + 3*i**6/14 - 3*i**5/35 - 81*i**4/14 - 5*i**3 + 225*i**2/14 + 10*i + 4. Determine b so that g(b) = 0.
-5, -1, 1/2, 3
Let q be (-88)/(-220) - (-15)/(-50). Let g(u) be the second derivative of 7*u + 11/18*u**4 + 0 + q*u**5 + 4/3*u**2 + 4/3*u**3. Factor g(l).
2*(l + 1)*(l + 2)*(3*l + 2)/3
Let z be 5 - (-4 + 650 + -6). Let d = z - -3199/5. Determine g so that 96/5*g - 128/5 - d*g**2 + 2/5*g**3 = 0.
4
Let g(c) be the second derivative of c**5/12 - 5*c**4/6 + 5*c**3/2 + 16*c**2 - 7*c - 1. Let o(r) be the first derivative of g(r). Factor o(h).
5*(h - 3)*(h - 1)
Suppose -14*h = 29*h - 396*h + 1059. Find c such that -9/8*c**2 - 3/8*c**4 + 0 + 0*c + 3/2*c**h = 0.
0, 1, 3
Let -2021090*y**3 - 4027644*y**3 - 6057*y**4 + 389824*y**3 - 1083*y**4 - 713540*y**3 - 2*y**5 = 0. Calculate y.
-1785, 0
Let d = -121 + 125. Let k(p) = -7*p**2 + 17*p - 10. Let u(o) = o**2 - 2*o + 1. Let m(w) = d*u(w) + k(w). Factor m(n).
-3*(n - 2)*(n - 1)
Let k(d) = d**3 + 4*d**2 + 2*d - 1. Let p be k(-3). Find j, given that p*j**2 - 1 - 48*j - 70 + 359 = 0.
12
Let h = 55123/15 + -18371/5. Determine w so that 4/3*w - 2/3*w**3 + 0 + h*w**2 = 0.
-1, 0, 2
Let w(v) be the third derivative of 1568/3*v**3 - v**2 - 28/3*v**4 + 76*v + 0 + 1/15*v**5. Factor w(u).
4*(u - 28)**2
Let 164/11*t**4 - 218/11*t**2 - 145/11*t + 54/11 + 180/11*t**3 - 35/11*t**5 = 0. What is t?
-1, 2/7, 1, 27/5
Let s = -144 + 144. Let c = 6904 + -6902. Determine h, given that 0 + 5/9*h**4 + s*h - 1/3*h**3 - 2/9*h*