+ s. Let w = -4 - 8. Suppose 298*c - 29 + 110 = -217. Let n(k) = -14*k**2 - 20*k. Let l(j) = c*n(j) + w*b(j). Let l(m) = 0. What is m?
-4, 0
Find x, given that 61*x**3 - 29*x - 5*x - 28*x - 626*x**4 + x**5 - 615*x**4 + 1208*x**4 + 33*x**2 = 0.
-1, 0, 1, 2, 31
Factor -58*i**3 + 24*i**2 + 14*i - 36*i + 64*i**2 + 30*i**2 + 18*i.
-2*i*(i - 2)*(29*i - 1)
Suppose 1 = -161*j + 7 + 5 - 11. Solve 88/5*i + 2/5*i**2 + j = 0 for i.
-44, 0
Let v(r) = -r + 2. Let w be v(5). Let l be (((-261)/4)/w)/((-2)/(-80)). Suppose -7*h**4 + l*h**2 - 880*h**2 - 15*h**3 + 2*h**4 = 0. Calculate h.
-2, -1, 0
Let y(x) = 5*x**4 + 3*x**3 - 33*x**2 - 91*x + 378. Let g(b) = -12*b**4 - 3*b**3 + 67*b**2 + 179*b - 757. Let n(d) = -3*g(d) - 7*y(d). Solve n(h) = 0 for h.
-3, 5
Let l(w) be the first derivative of 1/4*w**4 + 24*w**2 - 36 - 64*w + 5*w**3. Factor l(k).
(k - 1)*(k + 8)**2
Suppose 0 = 23*c - 127*c. Let u(k) be the second derivative of c*k**5 + 0 - 1/24*k**3 - 1/240*k**6 + 0*k**2 + 1/32*k**4 + 37*k. Factor u(b).
-b*(b - 1)**2*(b + 2)/8
Suppose -6187*j + 2 = -6186*j. What is i in -14/3*i**3 + 8*i**j + 0 + 8/3*i = 0?
-2/7, 0, 2
Let t = -1168 - -1172. Let m be t - (4/6)/(8/12). Find k, given that -6/11*k**m + 6/11 + 6/11*k - 6/11*k**2 = 0.
-1, 1
Factor -12780*z**3 - 882*z - 703*z + 168*z**2 + 387*z**2 + 245*z**2 + 790 + 12775*z**3.
-5*(z - 158)*(z - 1)**2
Let h = -1278664 - -3835997/3. Factor -1/6*x**3 - 98/3 + 7/6*x + h*x**2.
-(x - 7)**2*(x + 4)/6
Let t = -609 + 568. Let l(i) = 18*i + 740. Let n be l(t). Factor -20/7 - 4/7*p**n - 24/7*p.
-4*(p + 1)*(p + 5)/7
Suppose 13*i + g - 13817 = 16*i, -3*i - 2*g = 13820. Let x be (i/(-350) + -13)/((-4)/(-10)). Factor x*n**2 + 0 - 3/5*n**3 + 1/5*n.
-n*(n - 1)*(3*n + 1)/5
Find d such that 96*d + 756253*d**4 - 10*d**3 - 272*d + 228*d**2 - 756251*d**4 - 44*d**3 = 0.
0, 1, 4, 22
Let c = 939775/70482 + -5/23494. Factor -4/3*j**2 + 0 + c*j.
-4*j*(j - 10)/3
Let s = -63 - -64. Let r be (s/(-4))/(14/(-168)). Suppose -296*d**4 + 10*d**r + 14 - 5*d**5 + 306*d**4 - 20*d**2 - 4 - 5*d = 0. What is d?
-1, 1, 2
Let s(r) be the third derivative of r**5/220 + r**4/24 + r**3/11 + 981*r**2. Factor s(u).
(u + 3)*(3*u + 2)/11
Solve -4/7*i**2 + 480/7 + 104/7*i = 0 for i.
-4, 30
Let p(n) be the first derivative of -5*n**4/4 + 70*n**3/3 - 105*n**2/2 - 180*n + 2113. Suppose p(a) = 0. Calculate a.
-1, 3, 12
Find a, given that -1/3*a**5 + 2/3*a - 7/3*a**4 - 1/3*a**3 + 47/3*a**2 - 40/3 = 0.
-5, -4, -1, 1, 2
Determine k so that -6*k**2 + 1070 - 9*k**2 - 28004*k + 29599*k = 0.
-2/3, 107
Factor 585*n**2 - 1183*n**3 - 2060*n**2 + 5*n + 1475 + 1178*n**3.
-5*(n - 1)*(n + 1)*(n + 295)
Let w(m) be the second derivative of -m**7/84 - 3*m**6/10 - 4*m**5/5 - m + 4400. Factor w(q).
-q**3*(q + 2)*(q + 16)/2
Let s(r) be the third derivative of r**5/20 + 5*r**4 - 607*r**2. Solve s(j) = 0 for j.
-40, 0
Let v = 38 - 28. Suppose -2*s + v = -3*r, 26 = 4*s - 3*r + 6. Factor 0*x**2 + 10 + s*x**2 + 941*x - 956*x.
5*(x - 2)*(x - 1)
Suppose 77976 - 458*x**3 - 95*x**3 + 24174*x**2 + 105*x**3 + 102600*x + 2*x**4 = 0. What is x?
-3, -1, 114
Find o, given that -455/3*o**2 - 5*o**4 - 230/3*o**3 + 260/3 + 20/3*o = 0.
-13, -2, -1, 2/3
Suppose 1 = -2*l - 5*b, 2*b + 34 = 3*l + l. Suppose -l*u + 2*u - 2*g = -8, 4*u - 5*g = 13. Suppose -7/3*o**3 - 20/3*o - 4/3 - 23/3*o**u = 0. Calculate o.
-2, -1, -2/7
Suppose 27*c - 32*c = 3*x + 7, -2 = 4*x + 3*c. Let m be (-3)/(-2) - -4*x/4. Suppose -20 - 15*o**2 + 30*o + m*o**3 = 0. What is o?
2
Let o(v) = -v + 13. Let r be o(-3). Suppose 5*b + 1 = r. Factor 22*d - 41 - b*d**2 + 2*d - 7.
-3*(d - 4)**2
Determine o so that 85654*o - 85726*o - 100*o**3 - 252*o**2 - 3 + 28*o**4 + 3 + 12*o**5 = 0.
-3, -2, -1/3, 0, 3
Suppose 34*s - 29*s - 30 = 5*h, 2*s = -17*h + 12. Determine q so that h + 4/3*q**2 - 4/3*q**4 - 8/3*q + 8/3*q**3 = 0.
-1, 0, 1, 2
Let u(q) be the second derivative of q**7/70 + 7*q**6/50 - 21*q**5/50 - 11*q**4/5 + 4*q**3 + 96*q**2/5 - 2430*q. Solve u(y) = 0.
-8, -2, -1, 2
Let q(g) be the first derivative of -g**3/2 - 135*g**2/4 - 129*g - 106. Let q(h) = 0. Calculate h.
-43, -2
Let q(c) be the second derivative of -c**6/135 - 14*c**5/45 + 59*c**4/54 - 10*c**3/9 + 463*c. Factor q(p).
-2*p*(p - 1)**2*(p + 30)/9
Let p(v) be the third derivative of -2*v**7/105 - 7*v**6/30 - 17*v**5/15 - 17*v**4/6 - 4*v**3 - 114*v**2 + 12*v. Factor p(k).
-4*(k + 1)**2*(k + 2)*(k + 3)
Factor 432*k + 830239*k**5 - 47*k**3 - 18*k**4 + 11*k**3 - 14*k**4 - 830235*k**5 + 432*k**2.
4*k*(k - 6)**2*(k + 1)*(k + 3)
Let u(t) be the third derivative of t**8/26880 - t**7/480 - t**6/64 + 59*t**5/20 + 292*t**2. Let l(z) be the third derivative of u(z). Factor l(k).
3*(k - 15)*(k + 1)/4
Let g(b) = -7*b**2 - 483*b + 2548. Let d(y) = -155*y**2 - 10625*y + 56055. Let r(p) = 2*d(p) - 45*g(p). Suppose r(h) = 0. What is h?
-102, 5
Factor -9468*c**2 - 443*c + 126 - 9467*c**2 + 18942*c**2.
(c - 63)*(7*c - 2)
Suppose 117951 - 4*w + 3*w**4 - 117951 - 3*w**2 + 4*w = 0. Calculate w.
-1, 0, 1
Let l(v) be the second derivative of -3*v**5/80 + 25*v**4/32 - 3*v**3/4 - 954*v. Factor l(g).
-3*g*(g - 12)*(2*g - 1)/8
Let 244*l + 1515979*l**4 + 4852*l**2 - 1512*l**2 - 1503947*l**4 + 4 - 11524*l**3 - 4096*l**5 = 0. What is l?
-1/32, 1
Let x(d) = -55*d + 2049. Let b be x(37). Let u(r) be the first derivative of b + 0*r - 1/12*r**3 + 1/4*r**2. Factor u(l).
-l*(l - 2)/4
Find a, given that 88086*a**5 + 1094*a**4 - 87814*a**5 + 296*a + 1124*a**2 + 1656*a**3 + 2 + 4 = 0.
-1, -3/136
Let h(v) be the first derivative of 19/18*v**2 - 1/27*v**3 + 20/9*v - 65. Determine j so that h(j) = 0.
-1, 20
Let d = 2 + 0. Suppose -5*x + 5*b = -10, b + 23 = 21*x - 17*x. Find h such that -h**d - x*h**2 - 3*h**2 + 15 - 4*h**2 - 5*h + 5*h**3 = 0.
-1, 1, 3
Let u(z) be the first derivative of 5*z**6/3 - 4144*z**5/5 + 215073*z**4/2 - 57132*z**3 - 3606. Find x, given that u(x) = 0.
0, 2/5, 207
Let a(g) be the third derivative of g**8/84 - 124*g**7/105 + 2*g**6 + 62*g**5/15 - 61*g**4/6 + 2*g**2 - 5742*g. Suppose a(n) = 0. What is n?
-1, 0, 1, 61
Let g(o) be the first derivative of o**6/36 - 9*o**5/10 - o**4/6 + 352*o**3/9 + 160*o**2 + 728*o/3 - 2855. Suppose g(p) = 0. What is p?
-2, 7, 26
Suppose 980*k**3 - 167*k**2 + 10240 - 978*k**3 + 49*k**2 + 1408*k = 0. Calculate k.
-5, 32
Let r(k) = 13*k**2 + 6*k + 15. Let c(q) be the third derivative of -37*q**5/60 - 3*q**4/4 - 22*q**3/3 - 40*q**2. Let b(p) = 6*c(p) + 17*r(p). Factor b(x).
-(x + 3)**2
Find a, given that 1/6*a - 101/6 + 1/6*a**5 - 101/6*a**4 - 1/3*a**3 + 101/3*a**2 = 0.
-1, 1, 101
Let d(v) be the first derivative of 2*v**5/15 + 4*v**4/3 + 10*v**3/3 - 8*v**2/3 - 32*v/3 + 3555. Find o such that d(o) = 0.
-4, -1, 1
Suppose -z = 5*r + 6 - 36, -3*z + 18 = 3*r. Let g be (-12)/28 + (r - 152/28). Find o such that 0 + g*o**2 + 1/7*o = 0.
-1, 0
Let u = 801725/1068956 - 2/267239. Factor 51/4*s**3 - 60*s**2 + 0 + 48*s - u*s**4.
-3*s*(s - 8)**2*(s - 1)/4
Let u(h) be the first derivative of h**3/33 - 2955*h**2/11 + 8732025*h/11 + 4914. Solve u(j) = 0.
2955
Let f(g) be the first derivative of -4*g**3/15 - 52*g**2/5 + 924*g/5 - 1471. Find s such that f(s) = 0.
-33, 7
Suppose -5*g - 32 + 9 = -4*j, -g = -4*j + 11. Let r(m) = -5*m**2 - 8*m - 3. Let o(l) = -6*l**2 - 9*l - 3. Let s(x) = g*r(x) + 2*o(x). What is q in s(q) = 0?
-1
Let t = 1197261/70 - 102655/6. Let x = -73/15 - t. Suppose -x - 26/7*d**2 - 8*d**3 + 26/7*d = 0. What is d?
-1, 1/4, 2/7
Let q(c) be the third derivative of -c**8/84 + 29*c**6/30 - 4*c**5/5 - 104*c**4/3 + 128*c**3 + 59*c**2 + c. Find h, given that q(h) = 0.
-4, 1, 3, 4
Let n = -102 - -54. Let w = -25 - n. Factor j**2 + 20*j**2 + 36*j**3 + 26*j + 6 + w*j**2 + 14*j**4 + 2*j**5.
2*(j + 1)**4*(j + 3)
What is s in 654*s - 13042 + 105*s**3 - 3864*s - 2825*s**2 + 12762 = 0?
-1, -2/21, 28
Let k(d) be the second derivative of 11/10*d**5 - 52*d - 10/3*d**3 - 8*d**2 + 0 + 7/6*d**4 - 1/21*d**7 + 1/15*d**6. Suppose k(n) = 0. What is n?
-2, -1, 1, 4
Let y(h) be the first derivative of -3*h**5/50 - 2*h**4/15 + h**3/3 + 2*h**2/5 + 13*h - 3. Let b(p) be the first derivative of y(p). Let b(q) = 0. What is q?
-2, -1/3, 1
Let d = 319 + -311. Let -281*j - d - 2*j**3 - 282*j + 571*j + 2*j**2 = 0. Calculate j.
-2, 1, 2
Let f(c) be the first derivative of 32 + 25/3*c**3 + 0*c**2 + 1/5*c**5 - 5/2*c**4 + 0*c