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) + 0 - sqrt(75)))**2 + (sqrt(75) - (-2 + -1 + sqrt(75)) - sqrt(75))**2 + 1*sqrt(75)*-1)*-3.
-477 + 105*sqrt(3)
Simplify (-1*(-3 + sqrt(468) + 1) + 0)*4.
-24*sqrt(13) + 8
Simplify -3 + ((sqrt(3)*2 + -1 - sqrt(33)/(sqrt(99) - sqrt(11)))**2 - (3 + sqrt(27) + 2)).
-6*sqrt(3) - 1/4
Simplify (6*(sqrt(209) + (sqrt(209) - ((1*sqrt(209) - sqrt(209))*1 - sqrt(209)))))/(sqrt(33)/(sqrt(48)*3)).
216*sqrt(19)
Simplify -4*(-1*sqrt(490)*6)/(sqrt(16)/(6*(sqrt(40)/sqrt(5) + sqrt(8)))).
2016*sqrt(5)
Simplify ((2*sqrt(44)/sqrt(4)*-2 + 1 + sqrt(11)*-1 + -3)*5)**2.
500*sqrt(11) + 6975
Simplify (-3*(sqrt(704) + 2*sqrt(704)) + -2 + 0 + -3)**2.
720*sqrt(11) + 57049
Simplify (5 + sqrt(80)*-1*-3 + -5*(-1 + sqrt(80))*-2)*-5.
-260*sqrt(5) + 25
Simplify ((3*(2*(sqrt(210)/sqrt(6) - sqrt(35)) - sqrt(35)))/(sqrt(125) + 4*(sqrt(125) - -1*sqrt(125))))**2.
7/225
Simplify -5 + (sqrt(396) + sqrt(396)*-2*-3 + (sqrt(396) + 0 + sqrt(396))*4 + sqrt(396) + (-2*sqrt(396)*6 - (sqrt(396) + (sqrt(396) + sqrt(396) + 0)*1)))**2.
391
Simplify (1 + (sqrt(448)*2 + 2 - sqrt(448)) + 1*sqrt(448)*-5 + 3 + 3)**2.
-576*sqrt(7) + 7249
Simplify ((sqrt(392) - -2*sqrt(392))/sqrt(8) - sqrt(196)/(-1*sqrt(4)))/(((sqrt(504)*-1)/sqrt(12))/sqrt(6)).
-4*sqrt(7)
Simplify (-2*(sqrt(117) - sqrt(117)*1))/sqrt(9) + ((4*sqrt(117)*-1)/sqrt(9))**2.
208
Simplify -6*(sqrt(192)*-1*2 + 3*(sqrt(3) + 2)**2*2).
-252 - 48*sqrt(3)
Simplify 5*(-2 + (1*-2*sqrt(136))/(sqrt(16)/sqrt(2)*-1)).
-10 + 10*sqrt(17)
Simplify 4*(2*sqrt(80))**2 - ((sqrt(720)*-1)**2 + 4).
556
Simplify -1 + (1*2*-6*(1*sqrt(1275))/sqrt(3))**2.
61199
Simplify ((sqrt(1584)*2 + -1)**2 - (1*(-3*2*sqrt(11) + sqrt(11)))**2)*-4.
-24248 + 192*sqrt(11)
Simplify -3*5*-4*-4*(sqrt(175) + 0 + sqrt(175))*5.
-12000*sqrt(7)
Simplify (((sqrt(108) + 4*sqrt(108))*1)/sqrt(6))/((6*sqrt(81)*2 + sqrt(81))/sqrt(9)).
5*sqrt(2)/13
Simplify 0 + (4*(sqrt(84) + sqrt(84) + sqrt(84)*2) + (sqrt(84) - (sqrt(84) - 3*sqrt(84)*-1)))/((sqrt(432) - (sqrt(432)*-2 + sqrt(432) - sqrt(432)))*5).
13*sqrt(7)/90
Simplify sqrt(75) + (sqrt(75) + -2*(sqrt(75) + -2 - sqrt(75)) + sqrt(75))**2 + (sqrt(75) - (sqrt(75) + 2 + 3)) + 5.
85*sqrt(3) + 316
Simplify ((1 + sqrt(108) + -5 - sqrt(108)) + 3*1*sqrt(108) + -2)**2.
-216*sqrt(3) + 1008
Simplify -2 + ((sqrt(425)*-1 + sqrt(425))*5)**2 + 4*(sqrt(425)*2)**2.
6798
Simplify (5*6*(-2 + -4*sqrt(245) + sqrt(245))**2 + -3)*-5.
-331335 - 12600*sqrt(5)
Simplify (-1*sqrt(152) - sqrt(3800)*2)/(sqrt(90)/(sqrt(45) - sqrt(5) - sqrt(5))).
-22*sqrt(19)/3
Simplify (sqrt(5)*-1 + -5 - (-3*sqrt(35))/sqrt(7))**2 + (-1 + (sqrt(5) - (-1 + sqrt(5))) + -2 + sqrt(5) + (sqrt(40)/sqrt(2))/sqrt(4))**2.
-28*sqrt(5) + 69
Simplify -4 + (4*sqrt(684) + -1 - (3 + sqrt(684)*3))**2.
-48*sqrt(19) + 696
Simplify (sqrt(180)/(1*sqrt(12)) + sqrt(165)/(1*sqrt(11) + sqrt(11)))/(sqrt(48)*1*-4).
-3*sqrt(5)/32
Simplify -1*((sqrt(720) - (-3*sqrt(720))**2 - (sqrt(60)/(2*sqrt(12)) - sqrt(5))) + -5).
-25*sqrt(5)/2 + 6485
Simplify (6*-3*(-5 + sqrt(931) + 3 + sqrt(931))*-3)**2.
-163296*sqrt(19) + 10870848
Simplify (5 + -4*(0 + sqrt(272))*-6)**2.
960*sqrt(17) + 156697
Simplify (((sqrt(456)*-1)/sqrt(8) + (sqrt(513)*2 - sqrt(513))/sqrt(9))/(sqrt(9)/(sqrt(480)/sqrt(10))))**2.
0
Simplify ((4 + sqrt(99)*1*1)*-2)**2*-6*5.
-13800 - 2880*sqrt(11)
Simplify -2*(0 + -6*5*-1*sqrt(11))**2.
-19800
Simplify (5 + (sqrt(1216) - 2*sqrt(1216)*3 - (5 + sqrt(1216)*3)))**2.
77824
Simplify -3*(-2*sqrt(2448) + sqrt(2448) + -1 - (sqrt(2448) + 0)*-6 - ((sqrt(2448) - 2*sqrt(2448))**2 + 0 - (-1*sqrt(2448) + 2)**2)).
-36*sqrt(17) - 9
Simplify (((sqrt(147) + (sqrt(147) - (sqrt(147)*-2 + sqrt(147))))/sqrt(7))/(sqrt(3)*2*5))**2*4.
63/25
Simplify 3 + (sqrt(1573) + (sqrt(1573) - (sqrt(1573) + sqrt(1573) + -1)) + -2 + -5*(sqrt(1573) + 1) + sqrt(1573) - ((sqrt(1573)*1 - sqrt(1573)) + 0 + -3))**2.
264*sqrt(13) + 25180
Simplify (sqrt(54)/(sqrt(144) + -2*sqrt(144)))/(sqrt(98)*1 - (sqrt(162) + sqrt(18) + sqrt(18))/sqrt(9)).
-sqrt(3)/8
Simplify ((-3*2*sqrt(121) + -6*sqrt(121)*-1)/(1*sqrt(22)/sqrt(2)*1))**2.
0
Simplify (-2*sqrt(931) + -1)**2 + 6*(2 + sqrt(931))**2 + 5 + -1.
196*sqrt(19) + 9339
Simplify (sqrt(6) - -4*(sqrt(6) + 2*sqrt(6)))/sqrt(3) - (sqrt(16)/sqrt(2) + (1 + sqrt(32))**2).
-33 + 3*sqrt(2)
Simplify 3*(2 + sqrt(720) + -2 + (-2 + sqrt(720)*2)**2).
-252*sqrt(5) + 8652
Simplify 4*(sqrt(684) + ((-2 + sqrt(684))**2 + sqrt(684) - sqrt(684)) + 4 - (sqrt(304) + -2 + 4 - sqrt(304))**2).
-72*sqrt(19) + 2752
Simplify (sqrt(78)*-1*6 + sqrt(78))/(sqrt(54)/(sqrt(9) + sqrt(18)/sqrt(2) + sqrt(9))).
-15*sqrt(13)
Simplify (-3 + 1 + sqrt(1008))**2 - 2*-1*sqrt(1008) - ((sqrt(1008) + 0)*-5 + sqrt(1008) - (-5 + (sqrt(1008) - sqrt(1008)*-2)))**2.
-48405 + 816*sqrt(7)
Simplify 2*(-1*(1 + sqrt(1377)) + 5)*4.
-72*sqrt(17) + 32
Simplify (((sqrt(1573) + 2)*-2 + (sqrt(1573) + sqrt(1573) + -1 + sqrt(1573) + 2 - sqrt(1573)))*5)**2.
225
Simplify 3 + -1 + sqrt(500) + (sqrt(20) + (sqrt(20) - (sqrt(20) + sqrt(80) + (sqrt(80) - 1*sqrt(80)) + sqrt(20))))/sqrt(4).
2 + 8*sqrt(5)
Simplify 2*-3*(((1*(sqrt(1008) + -1 + sqrt(1008) - sqrt(1008)))**2 - ((-3 + 1*sqrt(1008))**2 + sqrt(1008))) + -5).
-216*sqrt(7) + 78
Simplify (sqrt(102)/(3*sqrt(6)) - sqrt(17)) + 1 + sqrt(153)/(-2*sqrt(576)).
-35*sqrt(17)/48 + 1
Simplify ((sqrt(180) + sqrt(180) + sqrt(180)*-3*-4)/(sqrt(144) + 2*sqrt(144) + sqrt(144)))**2.
245/16
Simplify ((sqrt(117) + sqrt(117)*3)*-1*4)/(sqrt(81)*1*-4).
4*sqrt(13)/3
Simplify ((-4*sqrt(143)*5)/(sqrt(44)/(sqrt(144) - sqrt(4))))**2.
130000
Simplify (3 + (sqrt(119)/(sqrt(35)/sqrt(5)*3) + (sqrt(1700) - sqrt(1700)*2) + -3)*-4)**2.
1160*sqrt(17) + 230777/9
Simplify -3*sqrt(243) + 4 - (2 + (-1 + sqrt(243))**2).
-242 - 9*sqrt(3)
Simplify (sqrt(637) - ((-3 + (2*sqrt(637) - sqrt(637)) - sqrt(637)) + sqrt(637)))**2*4 + ((sqrt(832)*-1 - sqrt(13)) + (sqrt(78) - -2*sqrt(78))/sqrt(6))*5.
-30*sqrt(13) + 36
Simplify (((sqrt(104)*5 - sqrt(104))*4 + sqrt(104) - sqrt(104))/(sqrt(1152) + (sqrt(1152) - -3*sqrt(1152)) - sqrt(8)))**2.
3328/3481
Simplify (3*(4 + 2*sqrt(704) + sqrt(704)*-2*-6)*-5)**2 + -1.
201600*sqrt(11) + 31049999
Simplify ((3*sqrt(75))/sqrt(5))/sqrt(5) + sqrt(15)/(sqrt(320)*-6).
143*sqrt(3)/48
Simplify 2 + 3*-1*sqrt(75) + sqrt(75) - ((sqrt(75) - (sqrt(75) + 0 + sqrt(75))**2)*1 - (sqrt(75) + 2*sqrt(75)*4)**2).
-15*sqrt(3) + 6377
Simplify -6*sqrt(110)/(sqrt(10) + (sqrt(110) + 2*sqrt(110) + sqrt(110))/sqrt(11))*6.
-36*sqrt(11)/5
Simplify 5*((2*sqrt(325)*-1 + 4*(-1 + sqrt(325)))**2 + -3).
-400*sqrt(13) + 6565
Simplify (-4*(sqrt(17) - (2 + sqrt(17))) + (sqrt(425)*-1 - sqrt(425)) - (sqrt(153)/(2*sqrt(9)) - (2*sqrt(153))/sqrt(9)))**2.
-136*sqrt(17) + 5169/4
Simplify 4 + (-4 + (-1 + sqrt(5) - sqrt(5)) + -1)**2*-4.
-140
Simplify sqrt(405)*2 + 5 - 4*(1 + sqrt(180) + sqrt(180)).
-30*sqrt(5) + 1
Simplify (1*(sqrt(1053) + -2*sqrt(1053) + -1))**2 + (6*sqrt(52)/sqrt(2) + sqrt(26))/(sqrt(64)/sqrt(2)).
79*sqrt(13)/4 + 1054
Simplify ((-4 + -1 + sqrt(272) - (sqrt(272) - (sqrt(272) + 1 + sqrt(272) + -1))) + -3)**2 + -2.
-128*sqrt(17) + 1150
Simplify (-2 + (2*sqrt(102)*-1)/(sqrt(24) + (sqrt(72)/sqrt(3) - sqrt(24))))*6.
-6*sqrt(17) - 12
Simplify ((sqrt(57) + sqrt(2793)*-4)*4)/(1*sqrt(108) + sqrt(108)).
-9*sqrt(19)
Simplify (sqrt(528)/((sqrt(108)/sqrt(3))/sqrt(3)))/(sqrt(48)/((sqrt(72)*2)/sqrt(6))).
2*sqrt(11)
Simplify (-2*sqrt(17) - sqrt(17))**2 + 0 - (sqrt(102)/(sqrt(6)*1) + sqrt(17)) - (sqrt(204)*3*-4 + sqrt(204) - sqrt(204))/sqrt(12).
10*sqrt(17) + 153
Simplify (4*2*-1*(sqrt(1377) + (sqrt(1377) - (sqrt(1377) + -1)) + -4))**2.
-3456*sqrt(17) + 88704
Simplify -3*(-4 + 5*(sqrt(75)*2*5 + 1*sqrt(75)*-6)**2).
-17988
Simplify (sqrt(76)*-2*-1)/(1*(sqrt(16) - sqrt(4))) - (3 + sqrt(304)*-1*-2).
-6*sqrt(19) - 3
Simplify -2*(((sqrt(78)*1)/sqrt(6) - sqrt(13))**2 - sqrt(13) - ((-2*sqrt(130))/sqrt(10))**2).
2*sqrt(13) + 104
Simplify sqrt(114)/(sqrt(6) + 2*sqrt(726)) - -4*(sqrt(19) + sqrt(57)/sqrt(3) + 1).
4 + 185*sqrt(19)/23
Simplify ((sqrt(204) + (sqrt(204) - 2*sqrt(204)*1) + sqrt(204))/sqrt(12))**2 + (-5 + 1*sqrt(17) - sqrt(17) - (sqrt(153)*-1)**2).
-141
Simplify (3*sqrt(66)*-4 - sqrt(66))/(sqrt(6) + sqrt(864)*-4).
13*sqrt(11)/47
Simplify (sqrt(152) + sqrt(152) + -1*sqrt(152)*2 + sqrt(152) + -6*sqrt(152)*1)/(sqrt(512) + sqrt(512) + (sqrt(512)*2 - sqrt(512)) - sqrt(32) - sqrt(32)).
-sqrt(19)/4
Simplify (sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
= p*u for u.
-2
Let j = -282 + 289. Suppose 0 = -2*a, 324 = -0*y + 4*y - 5*a. Suppose j*z = -25 + y. Solve 4*n = 5*t - 18, -3*t = t - z for n.
-2
Suppose 0*v + v = 3. Suppose -3*z + 3*d + 3 = 0, 3*z - v = 6*z + 3*d. Let i = 142 + -131. Solve -f = 4*o + i, -3*f = -4*o - z + 1 for f.
-3
Let q be (-1)/((-1)/(-2))*(-16)/(-8). Let k(o) = -o**3 - 4*o**2 - 9*o. Let g be k(q). Let t = g + -33. Solve -23 = 3*b - 2*x, 3*b - t*x + 7*x - 1 = 0 for b.
-5
Let o be 2009/369 + 1*16/(-36). Let k = 64 + -35. Solve -2*m - 9 = -q, -o*q + 0*q + 2*m = -k for q.
5
Let z = -2 + 2. Suppose -2*f = -2*p, 5*f + 12*p - 15*p - 10 = 0. Solve 2*b - f*w - 5 = z, -4*b - 2*w + 3 = -5*w for b.
0
Suppose 7*g = -29*g + 792. Suppose -11*c = -33 - g. Solve -c*y + 35 = 4*k, 3*y + 2*k = -0*k + 19 for y.
3
Suppose 74*d - 71 = 10*d + 121. Solve 3*k - 6*k - 11 = y, 0 = 5*y + d*k - 5 for y.
4
Let i = -2398 + 2400. Solve 11*p - 8*p + 16 = 5*o, -i*p = o - 11 for o.
5
Let j = -6830 - -6851. Solve 3*l - j = -3*v, -3*l + 17 = 63*v - 61*v for v.
4
Suppose 11*m + 31*m - 282 = -5*m. Solve -2*g + 4*p + 26 = 0, 5*g - m*p + 3*p - 44 = 0 for g.
7
Let u(w) = -5*w - 6. Let r be u(-1). Let o(x) = -21*x - 16. Let g be o(r). Solve 5*j - 5*i = 35, -27 = -g*j - 0*j + i for j.
5
Let a(y) = -y**3 + 4*y**2 - 3*y + 4. Let v be a(3). Suppose -3*m = -m - v. Let q be (-1)/2*(-7 + 7). Solve s = -q*s - f, s = -2*f + m for s.
-2
Let h(k) = -2*k + 3. Let t be h(4). Let q(g) = -g. Let y be q(t). Let o be 1 + -3 + 9 + 15. Solve 0 = y*z + v - 18, 8*v = 3*z + 3*v - o for z.
4
Let u be (((-4)/10)/(-1))/((-26)/(-1300)). Let s be 4/40 - (-538)/u. Suppose 55*w + s = 58*w. Solve 3*d = h - 5*h - 17, w = -3*h - d for h.
-2
Let c = -258 - -272. Suppose 7 = 7*x - c. Solve -x = q - 3*r - 1, -2*q - 2*r + 12 = 0 for q.
4
Let v = 849 - 791. Let k = -45 + v. Solve 4*b - 4*x = -x - 13, 3*b = -x - k for b.
-4
Let t = -372 + 370. Let b be (t/6*-10)/(55/165). Solve -5*z = -3*n - 4, 2*n = -4*z - 0*z - b for n.
-3
Let h = -76 - -74. Let d be h/9 + (-87)/(-27). Solve -5 = -j, 3*l - 19 = -2*j + d for l.
4
Let v(m) = m**3 - 16*m**2 + 14*m + 7. Let c be v(15). Let b(d) = 8*d + 68. Let g be b(c). Solve 0 = -q - g*x - 17, 3*x + 18 = 3 for q.
3
Let g(y) = 5*y - 5. Let t be g(4). Suppose 0 = 4*a + 21*a - 8*a + 14*a. Solve a = 5*n - 3*r - t, -3*n + 0*r = 4*r + 20 for n.
0
Let i = 382 - 178. Suppose -i = -3*k - k. Let j be 3/(5 - k/12). Solve j*o = h + 7, 2*o - 40 = -5*h - 3*o for h.
5
Let t(l) = -l**3 - 15*l**2 - 33*l - 20. Let w be t(-13). Suppose -w*u + 68*u + 12 = 0. Solve -5*x = 4*m - u, -2*x + 3*x + 4 = -2*m for m.
-4
Suppose -3*y = -5*v - 63, -2*y = v - 4 - 38. Suppose 3 = 22*z - y*z. Solve -2*g + z*q = -12, -g - 4*q + 11 = -8*q for g.
3
Let u(k) = k**3 + 15*k**2 + 2*k + 32. Suppose 2*r - 6 = -36. Let v be u(r). Solve t = v*p + 2*t + 5, 0 = 3*p + 4*t + 5 for p.
-3
Suppose 23*l = -2*m + 19*l - 568, -m - 280 = l. Let h = m + 281. Let g be -6*(1 + 8/(-6)). Solve 3*w - h*v + 9 = -g*v, -w + 4*v - 6 = 0 for w.
-2
Let s(j) = -j**3 - 44*j**2 + 3*j + 140. Let w be s(-44). Solve 7*b = 3*b - 4*f + w, -10 = -5*f for b.
0
Let h be ((-78)/(-12) + -11)/(45/(-12) + 3). Solve 0 = x - h*x + 2*i + 13, 0 = 2*i - 12 for x.
5
Suppose -7*o - 21*o + 28 = 0. Let m be (4 + -1)*o*60/18. Solve -3*p + z = -2, -5*p - 7*z - m = -2*z for p.
0
Let h = -449 - -476. Suppose -37*s + 10 = -h*s. Solve 0 = -4*w - 5*b + 35, w - b - 3 = -s for w.
5
Let l(v) = -v + 6. Let u be l(6). Let o be 0 - (-347 - 3) - -2. Let j = -346 + o. Solve -3*a + 0*a - 5*q = -j, -a + 2*q + 2 = u for a.
2
Let b = -398 + 403. Suppose 0 = b*t - 144 + 124. Solve -3*c + 2*c = -3, t*c = -3*w - 3 for w.
-5
Let n(u) = -86*u + 6342. Let w be n(72). Solve -i + 4*m = 6, -w*i + 12 = -146*i + 2*m for i.
2
Let k = -810 - -810. Solve k = v + 5*d + 20, 4*v - 3*v + d = -8 for v.
-5
Let w be 19 - (8/(-3) + 440/120). Solve -w = -b + 4*k, -2*b + 12 = -k - k for b.
2
Let p(u) = -11*u - 3. Let r be p(-2). Suppose -r*b + 60 = -4*b. Solve 2*f - 5*f + 3*m = 3, -b*f - m - 4 = 0 for f.
-1
Let i be (-11 + 689/65)*-10. Solve 0 = i*c - 4*o + 12, 8 + 9 = c + 3*o for c.
2
Let x be 30/(-4)*32/40. Suppose 4*u - 8 = -4*v, -3*u + 6 = -0*u + 4*v. Let t be (u/(-3))/(-2) + (-238)/x. Solve 2*m = -y - 15, y + t = -3*m - 4*y for m.
-5
Let f(r) = 9*r + r**3 - 6*r**2 + 2 - r**2 + 5*r**2 - 4*r**2. Let q be f(3). Solve -4 = -2*y + q*a, 0*y = 3*y + 4*a + 29 for y.
-3
Suppose 0 = p - 3*w - 3, 1 = p + 2*p - w. Suppose -5*d = 4*b - 50, 4839*b - 4843*b + 40 = 0. Solve p = -3*r + 4*z - 25, z = -r + d - 1 for r.
-3
Let w(h) = -h + 3. Let t be w(6). Suppose 4*g + 0*z + 3*z - 110 = 0, 2*g = 3*z + 46. Let f be (1 + t)/(g/(-65)). Solve 17 = 5*m + 7, -f*r - 3*m + 6 = 0 for r.
0
Let o(r) = -r**2 - 6*r + 7. Let c be o(6). Suppose -125 = 3*z + 70. Let w = z - c. Solve w*x - 14 = 2*x + 2*t, -2*x = 3*t + 18 for x.
-3
Let k(c) = 7*c - 68. Suppose 3*p + 3*z = 9 + 18, 5*z = 2*p - 25. Let d be k(p). Solve 10 = -4*r - 2*v, d*r + 3 = 3*v - 6 for r.
-3
Let r = 100 - 95. Suppose 16 = v - 2*k - 29, -v - r*k = -17. Suppose 39 - v = p. Solve -5*s = -4*c - 1 - 15, -p*s + 7 = -c for c.
1
Let v = 4018 - 4016. Solve -5*h + 13 = -v*q, h + 2*q - 8 = -3 for h.
3
Let x(y) = 27*y + 680. Let r be x(-25). Solve 3*o - 5 = r*j, 1 - 3 = 2*j + 5*o for j.
-1
Let l = 13486 + -13482. Solve 19 = -4*x - 3*r, 4 = 2*x + l*r + 16 for x.
-4
Let l = -1236 + 1257. Solve 4*d - 5*t - l = 0, d - 5*t - 5 = -4*t for d.
4
Suppose -12*o - 22 = -14*o. Suppose -o*p + 11 = -11. Suppose 0 = -j - 2*j + p*w + 19, 0 = -5*j + 2*w + 25. Solve 2 = 2*z, 0*g - g + j = 5*z for g.
-2
Let l(x) = -18*x**2 - 319*x + 95. Let f be l(-18). Solve 5*h + 7*o - 22 = 10*o, -h = f*o - 10 for h.
5
Let t be -4*(385/28)/(-5). Let f(o) = o**3 - 9*o**2 - 18*o - 41. Let n be f(t). Let h(p) = p + 2. Let a be h(4). Solve 0 = n*u - a, -5*s + 6 = 4*u + 3 for s.
-1
Let r be (-2135)/(-45) + (-340)/765. Solve 0 = -5*s - x + r, 1 = s + 3*x - 14 for s.
9
Let a be 2/5 - (-1 + 9/(-15)). Suppose 4*x - 46 = -142. Let w be x/42*(-7)/a. Solve -v + 10 = 4*l, w = v + v - l for v.
2
Let b(g) = -g**3 - g**2 - g + 6. Let z be b(0). Let l = -7742 - -7742. Solve 2*x = -3*n + z*n + 6, -4*x + 3*n = l for x.
-3
Let g = 376 + -371. Suppose 3*w = 5*k - 6 + 16, g*w + 2 = -k. Solve 0 = -w*r - r + 5*d + 5, 3*d + 25 = 5*r for r.
5
Let w = -4919 + 4938. Solve 0 = -x - s - 0*s + 7, -3*x - 2*s = -w for x.
5
Suppose -19*s + 16 + 2 = -77. Solve -3*h - 12 = -5*l - 6*h, l = -s*h - 2 for l.
3
Suppose -6*h - 68*h = 0. Suppose -2*r + 4*r = 2*y + 142, -363 = -5*r - 3*y. Suppose -4*m + r = 24. Solve h*l + 9 = -3*a + l, 4*a + m = 3*l for a.
-3
Let f = -2492 - -2496. Solve 4*w - 33 = -2*c - 7, -5*c - f*w = -41 for c.
5
Let y be (-4)/(-18) + (-175)/(-63). Suppose -32*d + 28 = -68. Solve x = 3*o - 15, -y*o + 5 = -4*o - d*x for o.
4
Let b(w) = -w**3 - 13*w**2 + 13*w + 5. Suppose -l + 5*j - 28 = l, 0 = 2*j. Let v be b(l). Solve -3*h + v = -5*y, -5 - 10 = y + 5*h for y.
-5
Let v be 3 + -7 + 1547/169 + (-2)/13. Solve -2*q - 7*t + v*t = 8, -3*t + 9 = -4*q for q.
-3
Suppose -4*b + 63*t = 61*t + 26, 2*t = 10. Let j = -4 + -1. Let k = b - j. Solve 5*u + 3*a - 3 = -0*a, 5*u - a + k = 0 for u.
0
Let q be 1062/26 - (4 + 432/(-104)). Suppose 2*g - 4 = 4*t, 3*g + 2 = -5*t + q. Solve -4*s = 3*d - 20, -3*d = -g*d for s.
5
Let d be 22/55 + (2/15 - 8162/(-165)). Solve 53*t = d*t - 3*b - 3, 5*b = -3*t + 1 for t.
-3
Let i(v) = -v**3 - 30*v**2 - 29*v + 3. Let h = 66 + -95. Let n be i(h). Solve 3*y - 1 = -y + 5*a, n*y - 4*a = 1 for y.
-1
Let t be 1/(49/756) + 39/(-91). Solve m = c + 4, -3*m - t*c + 20 = -20*c for m.
0
Let y be 5410/11 + (-142)/(-781). Suppose 0 = -3*x + y - 483. Solve 3*z = 3*c + 9, -2*c - 12 = 2*c - x*z for c.
-3
Suppose 2*b - 36 = a, -3*b - 6*a + 21 = -18. Solve -16*v = -b*v - 3, 0 = 4*w + 4*v for w.
3
Suppose -x - 120 = -5*x. Let j be x/(-10) + (-13)/(-1). Suppose -5*c = -3*i - 6, -15*c + 10*c = 3*i - 24. Solve -i*z = -5*q + j, -q + 0*q = 4*z - 2 for z.
0
Let r(q) = -q**2 - 15*q - 52. Let b be r(-8). Solve -b*x + 14 = w, -2*w = -x - 0*w + 8 for x.
4
Suppose z = 5*q - 3, 0 = z + q - 3 - 18. Let i(u) = -9*u + z - 6 + 8*u. Let r be i(5). Solve 2*t = -3*v + r, -2*t - 2*v = t - 9 for t.
3
Suppose -26 = -5*q + v, 490*v + 26 = 2*q + 487*v. Solve -h - 7 = -3*o - 3, -2*o = q*h - 12 for o.
2
L
|
{
"pile_set_name": "DM Mathematics"
}
|
Work out 2.1 * -370221.
-777464.1
Calculate -6289.0133*0.1.
-628.90133
Product of 1763111 and 69.
121654659
Multiply -0.2 and -13374823.
2674964.6
Calculate -3225*3393.
-10942425
What is the product of 0.62505 and 2.8?
1.75014
-5*-21.36
106.8
What is -121818 times 0.0867?
-10561.6206
Work out 9876743 * 0.3.
2963022.9
Multiply -130 and 12603.3.
-1638429
-2*-1283862
2567724
What is the product of -6.6 and -1230808?
8123332.8
Product of -13382600.9 and -0.1.
1338260.09
1.9 times 604794
1149108.6
0.18*-1029437
-185298.66
Calculate 28.70008*-151.
-4333.71208
What is the product of 3378842 and -6?
-20273052
Multiply -0.113 and -0.232453.
0.026267189
8435337 * -0.2
-1687067.4
Multiply 3 and -2553.278.
-7659.834
Work out 12932158 * -1.
-12932158
Multiply 8 and -67741193.
-541929544
Product of -2034524.7 and 0.7.
-1424167.29
-0.2*-20.733562
4.1467124
Multiply -6.6 and 2804.
-18506.4
Calculate 628*2077.
1304356
212.2*-13475
-2859395
1512288 times 5.5
8317584
-4*63720891
-254883564
Work out 1394 * 150871.
210314174
93923.518*-5
-469617.59
1 * -11803383
-11803383
What is the product of -7429515 and -4?
29718060
Calculate -2603*-0.1886.
490.9258
Product of -10 and -7.74035.
77.4035
-1281.0287*-0.23
294.636601
-0.1*14062884
-1406288.4
Calculate 0.2*-19820246.
-3964049.2
What is -0.3 times -25255663?
7576698.9
What is -4082 times 8699.2?
-35510134.4
-10040299 times 69
-692780631
Product of -1.2 and -66.49063.
79.788756
Multiply 2.3 and -0.1030235.
-0.23695405
Calculate 5*-0.2214012.
-1.107006
Calculate -7.3*1038273.
-7579392.9
Multiply 21 and -71446.
-1500366
What is -14557 times 34509?
-502347513
What is the product of 4 and 32691.7?
130766.8
Calculate -2.1*195731.
-411035.1
Calculate 5719.512*-2.
-11439.024
Multiply -506 and 3218.
-1628308
Multiply 0.17 and -0.913243.
-0.15525131
-13722721*-5
68613605
What is the product of -1 and 23121440?
-23121440
What is the product of -5 and 87945930?
-439729650
Work out 0.09753 * 712.5.
69.490125
Product of 2.76466 and 97.
268.17202
What is 1.83 times -48656?
-89040.48
Calculate 102871.3*-52.
-5349307.6
-3114*-4986
15526404
What is the product of 0.62399 and -85?
-53.03915
Calculate 6508*0.6279.
4086.3732
200.64364 * -0.04
-8.0257456
324526*-0.182
-59063.732
Multiply -5910284 and -3.
17730852
Calculate -1357875268*-0.1.
135787526.8
Work out -30038 * -468.9.
14084818.2
Multiply 6284 and -0.977.
-6139.468
Multiply 33621 and 170.
5715570
-0.3 times 1478407
-443522.1
Calculate 71190*-0.111.
-7902.09
Multiply -8691 and -0.06947.
603.76377
What is the product of -0.4 and -4941051?
1976420.4
Product of 321082 and -1.772.
-568957.304
Work out -1.71 * 751714.
-1285430.94
51784.8497 * 5
258924.2485
Product of 63 and 265998.
16757874
Work out 0.0582 * -1.2637.
-0.07354734
Product of -1 and -59422.
59422
Multiply -264 and -12.6053.
3327.7992
-0.2*4461452
-892290.4
Work out 10.3174 * -2640.
-27237.936
Multiply -6 and -5551.5.
33309
Calculate -0.3*-46977.6.
14093.28
-26860089*-0.3
8058026.7
What is the product of -139.583 and -256?
35733.248
Work out -4349 * 72259.
-314254391
15235 times -1.94
-29555.9
-2809741*236
-663098876
180 * 0.122022
21.96396
Multiply 399 and -599865.
-239346135
What is 1.49 times -1541?
-2296.09
0.4 times -3957851
-1583140.4
-1 times 240220757
-240220757
Multiply -2 and -28526.6.
57053.2
Multiply -0.209 and 0.28325.
-0.05919925
52 * 1339038
69629976
-1843559 times -40
73742360
What is the product of -425.949 and 0?
0
2261 * -0.2274
-514.1514
Product of 0.4 and 3997079.
1598831.6
Work out -118954673 * -0.5.
59477336.5
-47268214 * 0.04
-1890728.56
What is the product of 2457470 and -43?
-105671210
Calculate 14.89*-2248.
-33472.72
What is 70 times -3.6328?
-254.296
3*5854830
17564490
Calculate 0.5*-377252.77.
-188626.385
What is 32.121 times -215.3?
-6915.6513
Calculate 4*-44.5580127.
-178.2320508
0.0323 times -68898
-2225.4054
Work out -12 * -0.9088129.
10.9057548
Calculate -0.03*-39651.832.
1189.55496
Calculate -94*313426.
-29462044
Multiply 314 and 22733.
7138162
-0.1 times -10437796.2
1043779.62
Calculate 33.1*0.220494.
7.2983514
4091 times -0.065
-265.915
-15885*-61
968985
Work out 37 * 212687.
7869419
What is the product of 15.872 and 1.67?
26.50624
Work out -427477 * 6.
-2564862
4 times -26750625
-107002500
Multiply -0.1 and -4.5817965.
0.45817965
What is 8 times 12061.17?
96489.36
Multiply -46103176 and 3.
-138309528
238*0.17401
41.41438
Product of 666108285 and -4.
-2664433140
Multiply -11.78346 and 0.38.
-4.4777148
Product of -94 and -37865.
3559310
Calculate 13302*10732.
142757064
0.078 times 705092
54997.176
-2680384 * 6
-16082304
0.04047373*-0.3
-0.012142119
Calculate -10.7*-1.0731.
11.48217
Work out -0.6872 * -8.11.
5.573192
What is the product of -7266267.17 and -1?
7266267.17
What is the product of -0.1 and 24140687?
-2414068.7
Multiply -1428727 and -0.0646.
92295.7642
20855 * -9.5
-198122.5
What is the product of -37282 and -0.09?
3355.38
What is -0.2 times 9519.056?
-1903.8112
Work out -0.4 * 3016797.
-1206718.8
Product of 17 and -524.21455.
-8911.64735
-1.32 times 2.2194
-2.929608
What is the product of 83.85395 and 0.02?
1.677079
0.069153 * 169
11.686857
What is 2386 times 0.93983?
2242.43438
Calculate 137399175*-0.5.
-68699587.5
-0.073 * 897.402
-65.510346
Calculate 22*106362.
2339964
-0.96428953 times 0.4
-0.385715812
Calculate 1159.16*107.8.
124957.448
Multiply 3 and -23855674.
-71567022
Product of -549 and 32900.
-18062100
37.4204 * 40
1496.816
Product of 6711799 and -2.
-13423598
What is -5048.482 times -0.096?
484.654272
What is 682031 times -0.04?
-27281.24
Calculate -141846*30.
-4255380
0.2*-112.5631
-22.51262
-978711 times 216
-211401576
Work out 11038.7859 * 2.
22077.5718
What is 49 times -87294.46?
-4277428.54
0.669453 times -33
-22.091949
-1.43 * 45030
-64392.9
Work out 3262.573 * -0.08.
-261.00584
Product of 268 and -2001276.
-536341968
What is -124 times 52283?
-6483092
What is the product of 101535037 and 0.2?
20307007.4
Product of -16.59 and 8.815.
-146.24085
15.82 times -16496
-260966.72
Multiply -15 and -5474801.
82122015
0.51 times -103338.7
-52702.737
-7248 * 4177
-30274896
Product of -5.055 and -4.478.
22.63629
What is -336 times -17705?
5948880
What is the product of -105.969 and 3.54?
-375.13026
What is the product of -11.61391 and 3?
-34.84173
What is -0.2 times -30202568?
6040513.6
What is -0.07 times 2031346?
-142194.22
What is the product of 430776 and 0.19?
81847.44
Work out -11855 * -0.975.
11558.625
Multiply 985 and -0.008.
-7.88
27 * 10744
290088
Product of 0.05 and -10169427.
-508471.35
What is 58.85 times -5798?
-341212.3
-94*49462
-4649428
-418.17875 times -0.3
125.453625
-784270 times 1.76
-1380315.2
-672.3848*-0.4
268.95392
Calculate 32069*3928.
125967032
What is -2 times 0.04545191?
-0.09090382
What is the product of -484 and 8.5635?
-4144.734
-5.2*881142
-4581938.4
-348634 times 0.09
-31377.06
Calculate 0.2379232*0.34.
0.080893888
What is the product of 4288357 and -4?
-17153428
1928 times -0.00976
-18.81728
Product of 1.23 and 57137.
70278.51
Calculate 6155*1848.
11374440
0.12 * -23774036
-2852884.32
Multiply -0.9 and -3.214165.
2.8927485
142.339 * 0.141
20.069799
What is the product of 243.07384 and -0.1?
-24.307384
Work out -303.29 * 227.4.
-68968.146
22.55 * -1663
-37500.65
Work out 0.35754 * 5475.
1957.5315
What is 4435452 times 0?
0
18464.04 * -0.3
-5539.212
Work out -0.9398955 * -0.06.
0.05639373
What is the product of -43 and -0.4383732?
18.8500476
Multiply -354557150 and -0.3.
106367145
What is the product of -35 and -0.73548?
25.7418
Multiply 2575245.96 and -5.
-12876229.8
Calculate -8*-0.078964495.
0.63171596
0.4*96325.95
38530.38
-89 times -224197
19953533
325323.974 * -4
-1301295.896
Multiply 3 and 1133.0393.
3399.1179
Multiply -1.56277 and -0.06.
0.0937662
Product of 176821.34 and 21.
3713248.14
-625954.739 times -0.1
62595.4739
-964119 times -43
41457117
6 * 3281.6416
19689.8496
-338 * -781794
264246372
Product of 1 and 19078222.
19078222
Work out -577939540 * -0.5.
288969770
Work out 0.13 * 47185.
6134.05
-22.3*185493.6
-4136507.28
Calculate -12.53*3.9618.
-49.641354
9 times 31545.51
283909.59
21.2428*-12
-254.9136
What is 1.23194 times 0.005?
0.0061597
Work out -0.61851 * 30.7.
-18.988257
-3417*1.429
-4882.893
Product of 83 and 3
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose -o*x - 2 = 2*g - 6, 5*g + 17 = x. Solve q - x = -0*q for q.
2
Let s(r) = 19*r**2 + 988*r - 6883. Let u be s(7). Solve 955*q + 54 = u*q for q.
6
Let i be 5 + -1 + 2/24*12. Suppose 0 = i*y - 0*h + 2*h - 2, 3*y = -4*h - 10. Solve 0 = 9*k + y - 11 for k.
1
Suppose 28711 = 173*w - 36510. Solve 367 = 5*a + w for a.
-2
Let k(t) = -1718 + 1718 + 3*t**2 - 3*t + 2*t**3. Let b be k(1). Solve 25 = 3*u + b*u for u.
5
Let y be (-20)/3*(-120)/50. Let i = -29 - -57. Let z = i - y. Solve -2*s = s - z for s.
4
Let k(v) = 8*v + 51. Let c be k(-3). Solve 0 = c*r - 6*r - 126 for r.
6
Suppose s + k - 8 = 0, 1 = 2*s - k - 6. Let c be (-3069)/(-385) - (-211)/7385. Solve -9*w = -c*w + s for w.
-5
Let t = -339 - -337. Let v(r) = 3*r**3 + 5*r**2 - 5*r - 5. Let j be v(t). Suppose -5*f + 33 = -4*a, -3*f - 7 = -3*a - 28. Solve 2*w + f = j for w.
-2
Suppose 3*r - 115 = -2*r + p, 2*p + 14 = r. Let w(f) = f**3 - 24*f**2 - f + 59. Let i be w(r). Solve -38*d = -i*d + 3 for d.
-1
Let c be 4 - 1/((-2)/(-4)). Suppose -10 = c*f + 4*n, 2*f = -5*n - 9 - 5. Let m = -15 + 35. Solve w = -f*w + m for w.
5
Let a be 1*((-72)/54 - 364/(-12)). Solve a*r + 12 = 26*r for r.
-4
Suppose -11*l - 159 = 721. Let j = l - -85. Suppose -2*h + j*h - 6 = 0. Solve 25 = -h*f - 3*f for f.
-5
Let c = -43 - -11. Let n be (-1)/((-1)/c*-1). Suppose -2*m + n = 5*o, 5*o - 44 = -4*m - 10. Solve 3*i = o*i for i.
0
Let l = 139 + -112. Solve -15*m = 12*m + l for m.
-1
Suppose 3*s = 5*s + 2. Suppose 0 = -2*i - 4*g + 4, -154*g + 156*g = -4*i - 34. Let w be 8/(4 + i) - (-2 + s). Solve o - w = 2 for o.
4
Let k(j) = -j**2 - 9*j - 3. Let t(i) = 2*i + 2. Let m be t(-5). Let g be k(m). Suppose -4*l - 12 = -3*b - l, 6 = g*b + 2*l. Solve -2*w - b = -0*w for w.
-1
Let k(p) = -2*p**3 + 10*p**2 + 7*p - 33. Let n be k(5). Suppose 0 = -3*i - 4*h + 41, 4*i + 2 - 55 = -5*h. Solve i = -n*f + 1 for f.
-3
Let c = -12264 + 12266. Solve -36 = 8*z - c*z for z.
-6
Let f be 27 + -16 + (-6)/(-12)*-12. Solve 50 = 30*t - f*t for t.
2
Let f = -172 - -178. Suppose 3*i - 4*y - 16 = 0, 0 = f*i - i - y - 4. Solve i = -3*v + 8*v + 5 for v.
-1
Let z = -253 + 224. Let f = 33 + z. Solve -f*c = c + 25 for c.
-5
Let c(v) = -3*v + 9. Let n be c(5). Let g = n + 16. Solve 3*j = g - 1 for j.
3
Let q = -8070 - -8187. Solve -v + 111 - q = 0 for v.
-6
Suppose 2 = -5*r + 4*n, 2*r - 4*n + 1 = -7. Let h = 35 - 102. Let i = h + 68. Solve -r*x + i = 3 for x.
-1
Let t = -225 - -274. Suppose -52*l = -t*l - 21. Solve 1 = -4*c - l for c.
-2
Let d(h) = -h**3 - 29*h**2 + 60*h - 35. Let u be d(-31). Solve -8 = -7*s + u for s.
5
Suppose 2*b - 4*b - 16 = 0. Let n = b + 11. Suppose n*m - 2*f = 26, 4*m - 9 = -2*f + 21. Solve 3*a - m*a = 10 for a.
-2
Let c = -1342 - -1343. Solve -15 - c = 16*x for x.
-1
Let z = 99167 - 99157. Suppose -4*k + 47 = -3*s, -9 = 2*k - 3*s - 40. Solve -k*q = -3*q - z for q.
2
Suppose -2*s + 37*q - 39*q = -16, 5*q = 2*s - 58. Solve -34*t + s*t + 80 = 0 for t.
4
Suppose -5*m = 5*u - 20, -2*m + u - 3 = -5. Suppose 4*h = -4*i - i - 770, m*i = -4*h - 320. Let y be 3/(3*4) + i/(-40). Solve a = -a - y for a.
-2
Let l(g) = -17 + 2 + 2*g - 21 + 2. Let b be l(15). Let q be (24/14)/(b/(-14)). Solve -q + 1 = o for o.
-5
Suppose -p = p - 10. Let j = -6289 + 6292. Solve j + 2 = p*u for u.
1
Suppose 0 = s - 2*q - 2366 + 441, -5*s + 9595 = -5*q. Solve 0 = 2*u - s + 1921 for u.
-4
Let a = -63 - -56. Let w(y) = -4*y - 27. Let m be w(a). Let v = -18 + 23. Solve v*f = -m - 9 for f.
-2
Suppose -4 = -l + 3*b + 3, 0 = l + 5*b - 15. Let s be l/(-25) - (1 + (-194)/10). Let q be 48/s*6/4. Solve -3*u + q = 1 for u.
1
Let c(u) = -4*u - 80. Let n be c(-24). Let t be 5*(7/(-5))/((-8)/n). Solve t = 3*b + 8 for b.
2
Let c(h) = h**3 - 51*h**2 - 222*h + 124. Let b be c(55). Solve -b*d - 9 = 5 for d.
-1
Suppose 5*l - 1535 = 2*w, 3*l + 3145 = -4*w - 2*l. Let u = w - -780. Solve b - 3*b = u for b.
0
Let q be (-4)/(-8)*(30 - 0). Suppose -q*k + 99 = 18*k. Solve -3*v = k*v - 6 for v.
1
Let b = 557 - 552. Let c be -4 + 17 + b + 9/(-3). Solve 45 = 12*o - c for o.
5
Suppose -4*t + 3*t = 3*t. Let x be (-16 + 14)*(-10)/(-4). Let a be (17/(-5) - x)*(-10)/(-4). Solve -2*r - a = -t for r.
-2
Let o(d) = -d**3 + 15*d**2 + 20*d - 54. Let s be o(16). Suppose -49*h + 54*h - s = 0. Solve -5 - 5 = -h*g for g.
5
Let w(i) = -3*i**3 + 24*i**2 + 13*i + 11. Let l be w(10). Let a be l/(-54) + 1*1/(-2). Solve -a = 9*p - 11*p for p.
4
Suppose 3*s - 1 = -o + 12, -2*o = -2*s - 18. Suppose -17*v = -12*v - o. Solve -t + v - 1 = 0 for t.
1
Let l be 0/(32/80*(-5)/2). Solve -43*a + 29*a = l for a.
0
Let c be 9/12*-2*64/(-240)*(-50)/(-4). Let a be (-17)/(-3) - (-2)/(-3). Suppose 0 = a*x + 3*z - 26 - 37, 4*x + z = 49. Solve -x = -c*i + 8 for i.
4
Let t = 61 - 58. Let h be 5/15 + 17/t. Let f be 3*h/(-9) + 42/6. Solve -f = -4*a + 9*a for a.
-1
Let g be 60/(-9)*(-6)/4. Let j(s) = s**3 + 27*s**2 + 50*s + 3. Let h be j(-25). Solve h*w - g = -25 for w.
-5
Let y = 39 + -42. Let a be (0 + 0 - y) + -1. Suppose a*v = 4, -2*s + 4 = s - 4*v. Solve k = -s*k for k.
0
Let s(u) = 2*u**2 + 11*u - 328. Let c be s(-16). Solve -77 = 3*f + c*f for f.
-7
Let d(p) = 2*p**3 + 6*p**2 + 3. Let r be d(-3). Suppose -2*l + 8 = r*b - 8, 3*l = b + 2. Solve b*x = -28 + 16 for x.
-3
Let l(t) = -t**3 - 111*t**2 - 5*t - 527. Let j be l(-111). Solve -j*w = -48*w for w.
0
Suppose 127*v = 131*v - 5*x - 62, -v - x + 2 = 0. Suppose 0 = 5*m + 2*p + 8, -2*m = 5*p - 7 + 27. Suppose 5*o + v - 23 = m. Solve -4*r + o = -9 for r.
3
Let r be (-390)/(-21) + 104/(-182). Let t be (-160)/(-24)*r/30. Solve t = 50*v - 54*v for v.
-1
Let m(h) = 3*h**3 - 34*h**2 + h + 51. Let y be m(12). Solve -27 = -360*j + y*j for j.
3
Suppose 2*w = 9*w. Let y be (w + 6/(-18))*-6. Let v(l) = l**2 + 3*l - 6. Let h be v(-5). Solve 0 - h = -y*k for k.
2
Let q(t) = 1881*t - 16911. Let u be q(9). Suppose 0 = -x + 3 - 0, 3*x = 4*y + 9. Solve -17*l + u*l - 4 = y for l.
4
Suppose -3*i - 4*x = -70, 2*i - 35*x = -30*x + 16. Solve 33*g = 30*g + i for g.
6
Suppose -160*k + 1082 = -678. Solve -53*m = 276 - k for m.
-5
Let i = 15 + 33. Suppose -4*u + i = 8*u. Let t(g) = g**2 - g + 1. Let z be t(2). Solve -z*w - u = 5 for w.
-3
Let v be 34*7/42*3. Suppose 0 = v*z + 8*z - 150. Suppose -d = -2*a, 0 = d - 5*a - 3 + 9. Solve -2*w + d - z = 0 for w.
-1
Suppose -1049*v + 192 = -1043*v. Solve 37*s = 45*s + v for s.
-4
Let l be (1 - 5 - 32)*40/(-6). Let q be l/6*(-2)/(-5). Solve 8 = -q*w + 18*w for w.
4
Let y be ((-72)/(-6))/(-4 - -8) + (-4)/(-1). Solve -y*w - 25 + 67 = 0 for w.
6
Let t = -70 - -72. Suppose -t*j = -5*a, -4*a = -j - 0*j. Suppose j = z - 2*c, -5 - 3 = -2*c. Solve 5*s = z + 7 for s.
3
Let j(v) = v**2 - 22*v + 62. Let k be j(19). Suppose 4*y + 44 = k*s + 8*y, 0 = 3*y + 12. Solve 7*p = -s - 23 for p.
-5
Let a = 4 + -4. Let f(g) = -g**2. Let d(l) = l**3 - 18*l + 13. Let r(m) = -d(m) - 6*f(m). Let c be r(8). Solve -2*j + c + 3 = a for j.
3
Let x = -69 + 705. Let m = 636 - x. Solve g - 9 + 5 = m for g.
4
Let b be (-16)/(-7) + (-2)/7. Let q = 1089 + -1069. Let z = 39 - 37. Solve -b*c = z*c + q for c.
-5
Suppose -111*f = -1449 - 1215. Solve 64 = f*k - 56 for k.
5
Let g = 77 - 96. Let h be (g/57 - 2/3)/(-1). Solve -7*v - h = -8*v for v.
1
Let p = 3033 + -3022. Solve -2*r + 5 - p = 0 for r.
-3
Suppose 103*n - 9352 = 47*n. Solve 3 = 41*c + n for c.
-4
Let t(q) = 6*q**2 - 14*q + 3*q**2 + 9 - 9*q + 13*q + q**3. Let k be t(-10). Let n = 14 - k. Solve -n*j = -0*j - 10 for j.
2
Let m = 24 + -44. Let b(w) = w**2 + 5*w + 19. Let t be b(-6). Let q = t + m. Solve q*o = o for o.
0
Let q(c) = -7*c**2 + 22*c + 12. Let r(y) = -15*y**2 + 45*y + 24. Let t(k) = -13*q(k) + 6*r(k). Let a be t(17). Suppose -a*z + 3 = -7. Solve -h + z = -3 for h.
5
Let s be ((-370)/20)/((-3)/(-18)). Let b = s + 115. Suppose 3*n + 4 = 5*x - 6, -3*n + b = 2*x. Solve n = 4*z + 10 + 10 for z.
-5
Suppose 898 - 3382 = 3*t. Let b = t - -843. Solve 14*r + 4 = b*r for r.
4
Let v = 152 - 147. Let j = 234 - 234. Solve j = -17*n + v*n - 12 for n.
-1
Let n be (68/8 + -4)/6*52. Suppose 6*x - 15 = n. Solve -x + 4 = s for s.
-5
Let y be (-14)/(-105) - (-32)/(-15). Let w(i) = -i**3 - 3*i**2 - i + 4. Let p be w(y). Suppose 3*d - p*v = 6, -4*d + 7*d - 12 = 4*v. Solve 2*k + 6 = -d*k for k.
-3
Suppose -5*u - 3*j - 45 = 0, 45 = -3*u - 2*u - j. Let p be
|
{
"pile_set_name": "DM Mathematics"
}
|
give q.
-64
Rearrange 7*c**2 + 9*c**3 - 423*c + 15*c**3 + 425*c to a*c + n + q*c**3 + f*c**2 and give q.
24
Express (-q - 2*q - 3*q)*(-2 + 0 + 3)*(1 + 3 - 7)*(5 - 2 + 6) in the form c*q + f and give c.
162
Rearrange 5*f + 0*f + 2*f + 1 + (5 - 2 - 5)*(-2*f - f + 2*f) + f - 3 + 3 - 3*f + 2*f + 6*f - 6*f + 7*f + 7*f to the form o + d*f and give o.
1
Express (-23*a**2 - 32*a**2 - 73*a**2)*(-1 - a + 1) + (-3*a**2 + 4*a**2 + 0*a**2)*(1 - 1 + a) in the form n*a**3 + l*a + z + u*a**2 and give n.
129
Express -4*i - i**2 - 32*i**3 + 23*i**3 + 40*i**3 as y + b*i + d*i**2 + f*i**3 and give b.
-4
Rearrange 2*b**3 + 1 - 3*b**3 + 2*b**4 + 539*b - b**3 - 545*b to the form g*b**3 + w*b**4 + v + y*b + q*b**2 and give y.
-6
Rearrange -30 + 2*w**2 + 11*w + 12*w - 24*w to f*w**2 + z + q*w and give q.
-1
Express -17 + c**2 - c**3 + 23 + 29 in the form u + n*c**3 + q*c + f*c**2 and give f.
1
Express -7 - 6 - 6*t**2 - 6 + 0 as i*t + a + o*t**2 and give a.
-19
Express -3*m - 5*m**2 - 3*m + 4*m + (4 - 2 + 4)*(-m**2 - 3*m**2 + 2*m**2) - 18*m + 7*m**2 + 18*m in the form s + q*m**2 + v*m and give v.
-2
Express 26*g**3 - 68*g + 0*g**4 - 2*g**4 - 40*g**3 - 2*g**2 + 0*g**2 + 17*g**3 in the form a*g + x*g**2 + f*g**4 + k + l*g**3 and give x.
-2
Rearrange -148 - 39*r**2 + r**3 - 18 + 39*r**2 to the form b*r**3 + t*r + a*r**2 + q and give q.
-166
Express (8*s - 8*s - 2*s + (-4 + 2 + 1)*(-s + 3*s - s) + (-4 + 0 + 3)*(-3*s + 4*s + 0*s))*(-4*s - 7*s - 2*s) as m*s**2 + v*s + g and give m.
52
Express 844 - 841 + 90*o**2 + 85*o**2 in the form z*o + p + c*o**2 and give p.
3
Express 29 - 9*s + 8*s - 305 - 66 in the form z + v*s and give z.
-342
Express 6259 - 18*y**3 - 6259 + 2*y as k + p*y + i*y**2 + m*y**3 and give m.
-18
Express (3*q + q + 0*q)*((6*q - 9 + 9)*(3 - 2 - 4)*(-3 - 1 + 2) + (-1 + 1 - 1)*(-q + 2*q - 3*q)) as v*q**2 + o*q + z and give v.
152
Express -1 - 7 + 3 - 8*v - 13 - 10 in the form y + t*v and give y.
-28
Rearrange (-580*z - 137*z - 132*z + 189*z)*(-4 + 3 - 1) to the form c*z + l and give c.
1320
Rearrange 5*w**3 + 21*w**2 - 7*w**3 - 21*w**2 - 269*w + 1 to d*w + m*w**3 + z*w**2 + p and give m.
-2
Express (2*j + 4 - 4)*(257 + 269 + 55 - 192 + 212) as w + k*j and give k.
1202
Rearrange (-5*h**2 + 2*h**2 + 4*h**2)*(49756 - 49756 + 42*h**2) to t*h**4 + j*h**3 + m*h**2 + f*h + o and give t.
42
Rearrange 105*x**2 - 2*x**4 - 605*x + 607*x + 9*x**2 + x**3 to b*x + p*x**3 + s*x**4 + k + l*x**2 and give b.
2
Rearrange -414*m**2 + 409*m**2 - 2*m + 3 + 1 - 1 - 1 to the form h*m + g*m**2 + y and give g.
-5
Express -10*y**3 + 0*y - 5*y**2 - 2*y**4 - 247 + y + 247 as o*y**4 + j*y**2 + l*y + s + k*y**3 and give k.
-10
Express -49*x + 17*x + 5*x - 23*x - 101*x as n*x + b and give n.
-151
Rearrange 6*w**2 + 157*w - 17*w**2 + 8*w**2 + 4*w**2 to the form d + b*w**2 + n*w and give n.
157
Rearrange 2*p**2 - 3*p**3 + 60 + 0*p**2 - 60 - 2*p**4 + 109*p**3 to the form h + s*p**4 + a*p**2 + b*p**3 + z*p and give a.
2
Express 53 - 78 - 37 + 2*i**3 - 95 in the form a + d*i**2 + g*i**3 + p*i and give a.
-157
Rearrange 391 - 391 + 5*q**3 + 10*q**3 + 1 - 1 + 0*q**2 - q**3 + 0*q**2 + (3 + q**2 - 3)*(q + q + 0*q) to the form n*q**3 + z + k*q + u*q**2 and give n.
16
Express (-w + 6*w - 3*w)*(0 - 1 - 1)*(45 - 8 - 3) as t*w + o and give t.
-136
Rearrange (8 + 2*y - 8)*(-6 + 2 + 3)*(-52 - 43 + 84) to the form t + j*y and give j.
22
Express (0 + 1 - 2 + (0 + 1 + 6)*(3 + 0 - 7) + 1 - 2 + 3)*(-v + 4*v + v + (2*v + 4 - 4)*(-2 + 2 + 2) + v + 2 - 2) as r + i*v and give i.
-243
Rearrange 16*v**2 + 0*v**2 + 7*v**3 + 3*v**3 + 16*v**2 - 23*v**2 to the form j + l*v**2 + i*v + n*v**3 and give l.
9
Rearrange -84*t**2 + 7*t + 24*t**2 - 695*t**2 - 7*t to h*t + a*t**2 + d and give a.
-755
Rearrange (405 + 386 - 880)*(3*h + h - 2*h) to the form s*h + d and give s.
-178
Express (-2182 + 4363 - 2*s - 3*s**2 - 2184 + 25*s**3)*(0 + 0 + 1) in the form k*s + p + i*s**3 + q*s**2 and give i.
25
Express (-39 + 31 - 63)*(4*k + 3*k - 5*k) as j*k + u and give j.
-142
Rearrange 9 + 1 - 2*p**3 - 3*p**3 + 2 to t*p**2 + z*p + a + f*p**3 and give a.
12
Rearrange 6*m**2 + 930*m - 42*m**2 - 932*m to u*m**2 + t*m + k and give u.
-36
Express (2 - 2 + 2)*(10 + 5 - 6)*(27*a - 7*a + 15*a) + a - a + a as o*a + q and give o.
631
Express (-2*p**3 + 3*p**3 + 2*p**3 + (17 - 7 + 6)*(-12 - p**3 + 10 + 0*p**3))*(p - p - 2*p) in the form n*p + g*p**2 + z + f*p**3 + k*p**4 and give k.
26
Express s**4 + 3*s**2 - 2*s**3 + 0 + 330*s + 1 - 161*s - 166*s in the form m + d*s**3 + o*s + a*s**4 + g*s**2 and give g.
3
Rearrange -133*u - 4*u - 51*u - 80*u to o + k*u and give k.
-268
Rearrange 0 - 207*r**2 + 410*r**2 + 0 + 463*r - 204*r**2 to q*r**2 + w*r + l and give q.
-1
Rearrange 7*p**2 + 10*p**2 + 7*p - 24*p**4 - 17*p**4 - 3 + 40*p**4 - 4*p to the form s*p**3 + l*p**4 + q*p**2 + k + o*p and give l.
-1
Express (0 + 1 - 3)*(2*u - 2*u - 2*u)*(-2 + 15 - 19)*(10 - 12 - 4) in the form m*u + v and give m.
144
Rearrange 2*v**2 + 2*v - 2*v + (-4*v + 4*v - 2*v)*(-3*v + v + 0*v) - 3*v**2 + 0*v**2 + 5*v**2 - 2012 + 1002 - 177*v**2 + 1012 to p*v + i + a*v**2 and give i.
2
Rearrange 2*q**3 - 3*q**3 - q**3 + (6*q - 7*q + 3*q)*(0*q**2 - 3*q**2 + q**2)*(4 - 1 - 5) to the form k + y*q**2 + v*q**3 + b*q and give k.
0
Rearrange (-34*q + 2*q - 12*q)*(1072*q**2 + 2 - 1091*q**2 - 2) to the form f*q**2 + p*q**3 + n + h*q and give p.
836
Rearrange (-33*d - 119*d - 4*d + 24*d)*(-14*d**3 + 17*d**3 + 15*d**3) to the form q*d**2 + t*d**3 + a*d + m + f*d**4 and give f.
-2376
Rearrange (3*v**3 - 5*v**3 - 10*v**3)*(-15*v - 37*v - 2*v) to the form a + n*v**3 + i*v**4 + g*v + p*v**2 and give p.
0
Express (98*h - 201*h - 32 + 100*h)*(6 + 1 - 4) in the form z + m*h and give z.
-96
Rearrange -4*h + 2*h + h + (-5*h + 3*h + 0*h)*(-3 + 0 + 4) - 18*h + 3*h + 3*h - 20 + 388*h + 6 + 14 to the form p*h + u and give p.
373
Rearrange (-4*q + 8*q - 36*q)*(-3*q + 2 + 2*q + 2*q) + 2*q**2 - 27*q**2 + 6*q**2 to the form p*q + m + h*q**2 and give h.
-51
Rearrange -985*a**2 - 3638*a + 3638*a to m*a + b*a**2 + s and give b.
-985
Rearrange 3 - 2 + 381*l + 90*l to w*l + q and give w.
471
Rearrange (-117*b**2 - 2223*b + 2223*b)*(-2*b + 8*b - b) to f*b + j*b**2 + l + s*b**3 and give s.
-585
Rearrange (-5 + 2 + 2 + 1 - 4 + 4 + (0 + 0 - 1)*(-2 + 4 + 0) - 6 + 8 + 5)*((-3 - 1 + 5)*(3*p - 3*p - 4*p) - 3*p - p + 3*p) to n*p + u and give n.
-25
Express 4*w**2 + 2*w + 30*w**3 - 27*w**3 + 1 - 2*w**2 + 1 as t*w + p*w**3 + f*w**2 + y and give t.
2
Rearrange s - 3*s**2 - s + (s + 0*s - 3*s)*(-3 - s + 3) + 0 - s**2 + 0 + 1 + 35*s**2 - 99*s**2 + 11*s**2 to i*s + k*s**2 + h and give h.
1
Rearrange (68*x - 87*x - 98*x)*(0*x + 0*x - 6*x**2) to the form z*x**2 + d*x**3 + y*x + t and give d.
702
Express 1 - 1 + 2*g - g - 3*g + g + (-1 + 0 + 3)*(0*g + 0*g - 2*g) + (41 + 8*g - 41)*(-5 + 0 + 3)*(-4 + 0 + 2) + 2*g - 5*g + g in the form h + r*g and give r.
25
Rearrange (-1 + 2*g + 2*g - g)*(-2 - 2*g**3 + 1295*g - 1297*g + 6) to h + x*g**3 + k*g**4 + i*g + y*g**2 and give i.
14
Express (-150 + 178 - 673)*(7 - 2 - 3)*(-d + d - d) as i*d + f and give i.
1290
Rearrange 1717 - 860 + 657*i - 857 to l + m*i and give m.
657
Rearrange 0*v - v + 0*v + (-14 + 14 + 3*v)*(-5 + 3 - 1)*(5 - 1 - 2) to r + a*v and give a.
-19
Express -130*x**2 - 82*x**2 + 48*x**2 in the form y + k*x**2 + v*x and give k.
-164
Rearrange 9*a**3 - 11*a**3 + 7*a**3 + (2 + 1 - 1)*(2*a + a - 4*a)*(0*a**2 - a**2 + 3*a**2) to m + r*a**3 + s*a + t*a**2 and give r.
1
Express (-3*c + 3*c + 3*c**3 + (3*c**2 - c + c)*(3*c + 2*c - 4*c))*(-2*c + c + 15*c) in the form n + f*c**4 + t*c**2 + y*c + q*c**3 and give f.
84
Express (-232*w**3 - 151*w**3 - 165*w**3)*(-w + 3*w - w) in the form n + k*w + t*w**4 + p*w**3 + z*w**2 and give t.
-548
Rearrange -6*x**3 - 19*x**2 + 20*x**2 - x - 3*x + 0*x + 0*x**3 - 1 to r*x**2 + b*x**3 + k + j*x and give b.
-6
Rearrange -134 + 3*c**3 + 67 + 63 + 4*c + 5*c**4 to f*c**3 + a*c + i*c**4 + j*c**2 + b and give i.
5
Rearrange -5*s + 155*s**4 + 2 + 5*s**3 - 150*s**4 - 3*s**3 - 12*s**2 + 11*s**2 to the form v*s**2 + u*s**4 + i*s + j + t*s**3 and give j.
2
Rearrange -101*h**2 + 4 + 202*h**2 - 98*h**2 - 2 + 2*h to the form a + j*h**2 + n*h and give n.
2
Rearrange (-5*k**3 + 3*k**3 - k**3)*(-k - k - 17*k + (-k + 0*k - k)*(0 - 3 + 2) + 3*k - 3*k + 5*k) to h*k + j
|
{
"pile_set_name": "DM Mathematics"
}
|
**4 + (-3*z**3 + 2*z + z**3 + z)*(-3*z + 4*z - 5*z).
7*z**4 - 12*z**2
Expand ((0*d - d + 2*d)*(2 - 4 + 1) + 1 - d - 1 - 2*d + 5*d + 7*d)*(-14 + 11*d**3 - 27 - 12*d**3).
-8*d**4 - 328*d
Expand (0*j**4 + 4*j**4 - 5*j**4)*(3*j - 3*j + 2*j) - 2*j**5 + 4*j**5 + 0*j**5 - j**5 - j**5 - j**5 + (2*j**2 - 4*j**2 + j**2)*(0*j**3 - 2*j**3 + 3*j**3).
-4*j**5
Expand (-52*z**2 - 310*z + 310*z)*(0 + 0 - 1).
52*z**2
Expand (125*f + 98*f + 54*f)*(-4*f - 3*f + 6*f) + 2*f**2 - 3*f**2 + 0*f**2 - f**2 - f**2 + f**2 + (4*f - 4*f + 2*f**2)*(0 + 1 - 3) - 2 - 2*f**2 + 2.
-285*f**2
Expand -4*a + 30 + 5*a + 41 + 2*a + 0 + 0 + (2*a + a - 2*a)*(4 + 2 - 4).
5*a + 71
Expand (2*m**2 + m**2 + m**2)*(5 - 4*m - 5)*(4 + 0*m + 2*m + 0*m).
-32*m**4 - 64*m**3
Expand (3*p - 4*p + 3*p)*(2*p - p + p) + (3 + 0 + 0)*(-2*p**2 + p**2 + 3*p**2).
10*p**2
Expand ((-6 + 4 + 4)*(0 + 0 - 2*l) + l + 2*l - l - 2 + 2 - 2*l + l + 0*l + 4*l)*(-4*l + 2*l + l)*(-3*l - 5*l + 2*l).
6*l**3
Expand t**3 + t**3 + 0*t**3 + (-t**2 + 3*t**2 + 0*t**2)*(-16*t - 17*t + 17*t).
-30*t**3
Expand (5*w - 4*w + 6 + 3)*(17*w**3 + 1 - 5 + 5).
17*w**4 + 153*w**3 + w + 9
Expand (-z**5 + 0*z**5 + 0*z**5)*(5 - 4 + 0) + 8*z - 804 - 4*z**5 + 804.
-5*z**5 + 8*z
Expand (-1 + 1 - 2*h**2)*(3*h + 5*h**2 - 3*h)*(-29*h + 14*h + 17*h).
-20*h**5
Expand (-2*s**3 + 0*s**3 + 4*s**3)*(-1 + 1 - 2*s**2) + s**5 - 2*s**3 + 2*s**3 - 7*s**5 - 8039*s**3 + 8*s + 8039*s**3.
-10*s**5 + 8*s
Expand (-6 + 4 - 3)*(5 - 5 - 1)*(0*k + 4*k - 3*k)*(0*k**2 + 6*k**2 - 3*k**2)*(2 - 2 + 2*k)*(0 - 1 + 3).
60*k**4
Expand (-40*y - 33*y + 9 + 75*y)*(3*y + 4*y - 5*y).
4*y**2 + 18*y
Expand ((4 + 2 - 4)*(-1 + 2 + 1) - 5 + 6 + 2)*(-1 - 2 + 8)*(4*b - 4*b + 2*b).
70*b
Expand (0*b - 2*b - 2*b)*(-4*b + 4*b - b) - 62*b**2 - 46*b**2 + 15*b**2.
-89*b**2
Expand c - c - 2*c - 2 + 2*c + 2 + 1 - 9*c - 1 + (0 - 2 + 3)*(-2*c - 2*c + 5*c).
-8*c
Expand 81*o**2 - 81*o**2 + 14*o**3 + (3 - 3 + o)*(-5*o**2 + 2*o**2 + 4*o**2) - 4*o**3 + 6*o**3 + 5*o**3.
22*o**3
Expand -5*a**2 - 15 - 9 + 22 - a + a - a**2 + (2*a - 3*a - 2*a)*(2*a - a + a).
-12*a**2 - 2
Expand (-m + m - 2*m)*(m - m - m) + 1 - 1 + 2*m**2 + 3*m**2 + m**2 - 3*m**2 + (0 + 0 + m)*(1 - 2*m - 1).
3*m**2
Expand (10 + 1 + 3)*(4 - 5 + 2)*(-4 - 2*o + 4) + 0*o + 3*o + 0*o.
-25*o
Expand (15 - 1 - 2)*(-7*l - 4*l - 2*l) + (-4 - 1 + 4)*(-2*l - 1 + 1).
-154*l
Expand (-356567 + 356567 + 1122*y**5)*(-1 + 5 - 2).
2244*y**5
Expand (2*l + 2*l - 5*l)*(-4826*l**2 - 2*l**4 + 4825*l**2 + 3*l**4).
-l**5 + l**3
Expand (-4*x - 3*x + 4*x)*(10*x**2 - 8*x**2 + 8*x**2) - 9 - 5*x**3 + 9 + 0*x**3 - 4*x**3 + 2*x**3.
-37*x**3
Expand (-2*y + y + 1 + 1)*((2 - 2 - 4*y)*(-3*y + 2*y + 0*y) + 3*y**2 + y**2 - 5*y**2 + (7*y + 2*y**2 - 7*y)*(-3 + 7 + 0)).
-11*y**3 + 22*y**2
Expand (0 - 3 + 4)*(5 - 6 + 5 + 8*i**2).
8*i**2 + 4
Expand (-w + 13 + 6 - 21)*(6*w**3 - 3*w**3 + 2*w**3).
-5*w**4 - 10*w**3
Expand (-3*d**4 - 3*d**4 + 7*d**4)*(-4*d - d + d) + 17*d**5 - 11*d**5 + 6*d**5.
8*d**5
Expand (6*x**3 - 1 - 6*x**3 - 2*x**3)*(6 - 4 - 1)*(-5 - 2 + 5)*(-18*x**2 - 159*x + 159*x).
-72*x**5 - 36*x**2
Expand (0*m**5 + 4*m**5 - 6*m**5)*(2 + 3 + 4) - 129*m**3 - 3*m + 125*m**3 + 7 - m**5 - 4.
-19*m**5 - 4*m**3 - 3*m + 3
Expand (-3*k + k + 0*k)*(3*k**3 - 118*k**2 + 22*k**3 + 35*k**3 + 112*k**2).
-120*k**4 + 12*k**3
Expand ((2 + 5 - 4)*(u - 1 + 1) + 2*u - 2 + 2)*(-1 + 4 + 0)*(-1 + 4 - 1).
30*u
Expand ((-2 + 6 - 2)*(k + 0 + 0) + 0 + 0 + k)*(-9*k - 14*k + 2*k)*(3*k - 9*k - 6*k).
756*k**3
Expand -2*a**4 + 0*a**4 + a**4 - a**4 + 5*a**4 - a**4 + a**4 - 4*a**4 + 0*a**4 + (2*a + 2*a - a)*(-2*a**3 + 1 - 1).
-7*a**4
Expand 0*u + u + u + (0 - 3 + 7)*(-2*u - 2*u + 2*u) - 48 + 48 - 9*u.
-15*u
Expand (-626 + 36*f + 626)*(0 + 6 - 2)*(0*f**2 - f**2 + 2*f**2).
144*f**3
Expand (-33 + 33 - 6*m + (-3 + 0 - 1)*(-m - 6*m + 8*m))*(4*m**2 - 3*m**2 + 0*m**2).
-10*m**3
Expand (-3 + 0 + 5)*(6 + 44*z - 6)*(5 + 1 - 1).
440*z
Expand (-2 + 8 + 9 + (2 - 1 + 0)*(-1 + 2 - 2))*(13*h**3 - 15 + 15).
182*h**3
Expand 3*q**4 - 2*q**5 - 3*q**4 + 6*q**5 + 7*q**5 - 4*q**5 + (-1 + 4 - 2)*(93*q - 93*q + 14*q**5).
21*q**5
Expand (-3 - 3 + 3)*(-1 - k + 1)*(32*k**3 - 32*k**3 + 5*k**4).
15*k**5
Expand 2*u**5 - 4*u**5 + 0*u**5 + (-u**2 + 0*u + 0*u)*(0*u + 0*u + 2*u**3) - 2*u**5 + 1 - 1 + (-2*u**2 + u**2 - 3*u**2)*(0*u**3 - u**3 - 3*u**3).
10*u**5
Expand 5*l - 5*l**4 - 5*l + 0*l**4 + 2*l**4 - 5*l**4 + (5 - 5 - 2*l)*(-4*l**3 + 3*l**3 - l**3) + (l + 2*l - 2*l)*(-2*l**3 - 4*l**3 + 5*l**3).
-5*l**4
Expand -i + 3*i - i - 4*i + 3*i + 4*i + 4*i + i - 4*i + (-2*i - i + 0*i)*(3 + 1 - 2) + (2*i + 0 + 0)*(-2 + 1 + 3).
3*i
Expand (-31*y**4 + 9*y**4 + 0*y**4)*(-47*y + 14*y + 16*y).
374*y**5
Expand (-152 - 30 - 119 + (2 - 3 - 1)*(-4 + 1 + 1))*(-3*y + 2*y + 2*y**2 + 1 - 4*y**2).
594*y**2 + 297*y - 297
Expand -s + 2*s - 3*s + 1 + 2*s - 1 + (2*s - 3*s - s)*(57 + 43 + 0).
-200*s
Expand (-28*y - 44*y - 46*y)*(6*y**2 - 13 + 13)*(-y**2 + 3 - 3).
708*y**5
Expand 2*g**4 - 2*g**4 - g**4 + (g**2 + 0 + 0)*(-g**2 - 2*g**2 + g**2) - 5*g**4 + g**4 + 164 - 179.
-7*g**4 - 15
Expand (-3 + 1 - 11)*(-3*j**3 + 3*j**3 + j**3)*(-7*j + 5*j + 12*j).
-130*j**4
Expand (4*m**2 - 4*m**2 - 2*m**4)*(-570 + 228 - 805 - 542).
3378*m**4
Expand ((4 + l - 4)*(-4 + 4 - 1) - l - 3 + 3)*(-62380*l + 62383*l - 15 + 407).
-6*l**2 - 784*l
Expand (-2255 + 1127 + 19*l + 1124)*(-4*l**2 + 3*l**2 + 2*l**2).
19*l**3 - 4*l**2
Expand (3*a**4 - a**4 - 4*a**4)*(-2 - 3 + 0 + 1 - 1 - 2 + (2 + 0 - 1)*(-1 + 2 + 1)).
10*a**4
Expand ((1 + 0 + 0)*(-1 + 1 - z) - 5*z + 5*z - z + 3*z + 2*z - 4*z + (-2 + 0 + 1)*(-2*z + 4*z + 0*z))*(-11 + 11 - 3*z**3).
9*z**4
Expand (2*p - 1 + 1)*(-8*p - 14 + 14) + 108*p**2 - 6*p**2 + 92*p**2.
178*p**2
Expand (62 - 62 + 3*c**2 + (-2 + 1 - 1)*(-3*c**2 + 3*c**2 - 2*c**2))*(c**3 + 2*c**2 - 2*c**2) + 4*c**5 + c**5 - 2*c**5.
10*c**5
Expand 402*s - 37*s - 203*s + (1 - 1 + 1)*(-2*s - 2*s + s) - s + 3*s - 3*s - 3*s - s + 5*s - 1 + 1 + s + s + 1 - 1 + (-2 + 2 - 2*s)*(-4 + 3 + 0) - 5 + 5 + s.
164*s
Expand (3 + 3 - 3)*(1 + 2 - 5)*(-495 + 495 + 116*s).
-696*s
Expand (t**2 + 2*t**2 - 17*t**2)*(-t**3 + 2*t**3 + 0*t**3 - 2*t).
-14*t**5 + 28*t**3
Expand (-4 + 5 + 0)*(-40*x**3 + 30*x**3 + 27*x**3) + (-2 - 2 + 2 + (0 - 1 + 0)*(0 + 3 - 4))*(0*x - x**3 + 0*x).
18*x**3
Expand (-3*c - c + 8*c + (5*c - 4*c + 0*c)*(8 + 12 - 5))*(3*c + 2*c**3 - 3*c).
38*c**4
Expand 0*u**2 - u**2 - 7*u**2 + (u + u - u)*(0*u - 6*u + 5*u) + 2*u**2 - 3*u**2 - u**2.
-11*u**2
Expand 6*c**5 - 28 + 28 + (-17 + 92 + 11)*(-3 + c**5 + 3).
92*c**5
Expand (-28*s + 10*s + 7*s)*(-3*s + 4 - 4).
33*s**2
Expand (-6 - 10 - 10)*(0*j + 6*j + j)*(3*j + 0*j - j)*(-5 + 3 + 3).
-364*j**2
Expand (5564 - 282*n - 5564)*(2*n + 0*n**2 + 2*n**2 - n).
-564*n**3 - 282*n**2
Expand (s - s - s - 2*s**2)*(2*s**2 + s - s + s**2 - 1 + 1 - 4 - 3*s**2 + 4 + (-4*s + 5*s - 3*s)*(-1 + 1 - 2*s)).
-8*s**4 - 4*s**3
Expand (-26 + 11*h**2 + 26 + (31*h + 9*h - 68*h)*(4*h - 4*h - 2*h))*(-1 + 4 - 1).
134*h**2
Expand (-82*a**3 + 171*a + 84*a**3 - 19*a)*(-a + 3*a - 3*a).
-2*a**4 - 152*a**2
Expand (25*h**2 - 158*h + 156*h + 66*h**2)*(-3 + 3 - 2*h**2)*(3 + 0 - 2).
-182*h**4 + 4*h**3
Expand -l**2 + 4*l**2 - 7*l**2 + (-7*l + l - l)*(-2*l + 0*l + 3*l) + (2*l - 2 + 2)*(-3*l + 3*l - 2*l) - 6*l**2 + 4*l**2 + l**2.
-16*l**2
Expand ((3 - 1 - 1)*(2 - 2 - y) + 0 + 0 + 7*y)*(y**4 - y**4 + 9*y**4).
54*y**5
Expand (-3*q - 2*q + 7*q)*(2 + 2 - 2)*(0 + 0 - 1) - 7*q - 4*q - 4*q.
-19*q
Expand (-4 - 145*k + 284*k - 146*k)*(2*k**4 + 2*k**4 - 2*k**4 + (-2 + 2 - 1)*(k**4 - 2*k**4 + 0*k**4) + 3*k**4 + k**4 - 2*k**4 + 0*k**4 - k**4 - k**4).
-21*k**5 - 12*k**4
Expand (-4 - 13 - 24)*(-3 + 0 + 2)*(c + 3*c - 2*c + (0*c - 2*c + 3*c)*(-1 + 4 - 2)).
123*c
Expand (1405 - 24*c - 1405)*(-4*c + 3*c + 2*c)*(-4 + 3 + 2).
-24*c**2
Expand (0*x**2 + 0*x**2 + 2*x**2)*(-2*x + x + 2*x + (2*x + 4*x - 4*x)*(-1 - 1 + 3))*(-2*x + 7*x - 2*x)*(-18 + 35 - 23 + (-1 - 2 + 4)*(1 + 2 - 2)).
-90*x**4
Expand 3*d**3 - 6*d**3 + d**3 + (-1 + 5 + 0)*(2*d**3 + d**3 - d**3) + 0*d**3 + 2*d**3 + 2*d**3.
10*d**3
Expand (-5 + 2 - 1)*(-1 - 2*k + 1)*(-953*k + 1991*k - 932*k).
848*k**2
Expand g**4 - g**4 + g**4 - 4*g**4 + 0*g**4 - g**4 + (3*g**2 - 2*g**2 + 0*g**2)*(g - g**2 - g) + (2 - 6 + 1)*(-2*g + 2*g - 3*g**4).
4*g**4
Expand (25*c + 24*c + 29*c - 2)*(-2*c + 2*c - c**3).
-78*c**4 + 2*c**3
Expand 2 - 3*r**2 - 2 + 0*r**2 + 0*r**2 + r**2 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
is the tens digit of 2 + 0 - (n + -29)?
1
Suppose -2*t - 3*z + 1 = 0, -t - 6*z = -5*z - 1. Let s(k) = -k - 1. Let w be s(t). What is the units digit of -32*w/6 - -2?
8
Let m = -43 + 51. Let d(z) = -z**3 + 8*z**2 + 16*z - 1. What is the hundreds digit of d(m)?
1
What is the hundreds digit of (36/30)/((-5)/(-14400))?
4
Suppose -35*v = -48941 + 1096. What is the hundreds digit of v?
3
Let t be (2*-5)/(-2) + -1. What is the units digit of (-6)/t + 250/20?
1
Let r(u) = u**3 + 62. Suppose f = 6*f. Let z be r(f). Suppose 2*x - z = -0*x. What is the units digit of x?
1
Suppose 2466 = -13*t + 8576. What is the tens digit of t?
7
Let b be (-1)/5*2350/(-10). Suppose -5*o = 2*d - 166, 4*d + d - b = -o. What is the units digit of o?
2
Let b(x) be the third derivative of 0*x - 1/120*x**6 + 1/20*x**5 + 4*x**2 + 0*x**4 + 0 + 1/6*x**3. What is the units digit of b(3)?
1
Suppose 4*x + 556 = 8*x - 4*y, 0 = 2*x + 3*y - 253. Let g = x - 53. Let c = g + -55. What is the units digit of c?
6
Suppose -3*v - 24*k + 2712 = -28*k, 5*v + 5*k = 4485. What is the tens digit of v?
0
Let v(l) = -l**2 + 14*l - 3. Suppose -15 = 3*x - 4*x - 3*p, 3*x - 33 = 3*p. Let b be v(x). Let q = b + -10. What is the tens digit of q?
1
Let s be 195/(-60) + (-1)/(-4). Let w be 24/9 - (-2)/s. Suppose -5*d = -w*d - 141. What is the units digit of d?
7
Suppose -6*k + 5*u + 1286 = -2*k, -5*u - 10 = 0. Suppose -3*m + 229 = -2*v - k, -200 = -m + 5*v. What is the units digit of m?
0
Suppose -2*j = -20 - 0. Suppose 345 = 5*f + j. Suppose -2*a = -a - f. What is the tens digit of a?
6
Let h be 1*-1 + 725 + -10. Let o be h/(-36) + (-1)/6. What is the units digit of o*-6*(-4)/(-30)?
6
Suppose -16*h + 46 = -14*h. Let x = h - 21. Suppose i + 56 = 2*i - 2*s, -2*i + x*s = -106. What is the units digit of i?
0
Let h be (1/3)/((-3)/9)*5. What is the tens digit of (372/2)/((-10)/h)?
9
Let n = -19 + 22. Suppose 2*j = -3*w + 55, -4*w + 0*j + n*j + 45 = 0. What is the tens digit of w?
1
Let l(i) = -i**2 + 11*i + 16. Let c be l(12). What is the units digit of c/(-12) + 176/6?
9
What is the hundreds digit of 1685*(17/10 + 21/(-14))?
3
Suppose 5*w - 12 = -2. Suppose -w*n + t + 277 = 0, n + 51 = 5*t + 167. What is the tens digit of n?
4
Let u(o) = o**2 + 3*o - 1. Let v be u(-4). Suppose 0 = v*x - 11 - 10. Suppose x*m = 3*m + 76. What is the tens digit of m?
1
Let d = -55 - -39. Let k(l) = l**2 + 15*l + 7. What is the tens digit of k(d)?
2
Let x = 25 - 15. What is the tens digit of (-25)/x*(-124 + -2)/3?
0
Let h be ((-226)/(-6))/(2/24). Suppose -i - h = -5*i. What is the units digit of i?
3
What is the hundreds digit of -5 + 6/12*442?
2
Suppose 71 - 7 = 3*q - 2*t, -2*t + 96 = 5*q. Suppose -b + 15 + q = 2*p, -p = 5*b - 148. What is the units digit of b?
9
Suppose 4*k + 5*r + 5 = 0, 0 = k + 4*k + 4*r + 4. Suppose 3*a - 3*z = -2*z + 410, -z - 2 = k. What is the hundreds digit of a?
1
What is the units digit of 0 - 9 - -1 - -186?
8
Let t be 2/(-13) - (-28)/13. Suppose t*p - 283 + 51 = 0. Suppose 3*x = -x + p. What is the tens digit of x?
2
Let f(l) = 13*l**2 - 16*l + 42. What is the hundreds digit of f(9)?
9
Let h(n) = -3*n + 5*n + 28 + 21. What is the tens digit of h(0)?
4
Suppose i + 2*t - 17 = 0, 3*i = -t - 3*t + 47. Suppose -9*x = -i*x + 760. What is the units digit of x?
0
Let u(g) = -4*g + 4. Let f be u(-4). Suppose -f = -n - 3. What is the units digit of n?
7
Suppose 2*n + 3*n - 32 = 3*t, -n = 5*t + 16. What is the hundreds digit of (-3 + (-42)/n)*(3 + -13)?
1
Let q(t) = 17*t**2 - 3*t - 4. Suppose -34 = 5*u - 9. Let k(f) = -8*f**2 + f + 2. Let g(c) = u*k(c) - 2*q(c). What is the units digit of g(2)?
4
Suppose 76 + 554 = -7*j. Let l = -13 - j. What is the units digit of l?
7
Let m be ((-2008)/(-6))/4 + (-22)/33. Suppose 3*c - m - 91 = 0. What is the tens digit of c?
5
Suppose 0 = -7*r + 92608 + 12028. What is the units digit of 1 + r/60 + 6/(-45)?
0
Suppose 2*u + 5*a + 30 = 7*u, -5*a = 5*u - 30. Let z(h) = -h**3 + 10*h**2 + 11*h + 8. What is the hundreds digit of z(u)?
2
Let i = 18 - 18. Suppose 2*n - 7*n + 5*v + 110 = i, -3*n = -2*v - 69. What is the tens digit of n?
2
Let g = 23 + -7. Let r be ((-72)/g)/((-2)/(-4)). What is the tens digit of (-135)/r + (-4 - -1)?
1
Suppose 10149 = 5*v + 2*p, -7*v + 11*v = -3*p + 8122. What is the thousands digit of v?
2
Let a(i) = -2*i + 4. Suppose 0*b + 4 = 4*b. Let k be (5/4)/(b/(-4)). What is the units digit of a(k)?
4
Let d be -39 + (1 + -3 - -2 - -3). What is the units digit of (11 - d)/((-2)/(-6))?
1
Suppose 13 = 4*i + 65. Let f = i - -16. Suppose 0 = 2*b - 2*y - 120, -f*b + 90 + 65 = 2*y. What is the units digit of b?
5
Suppose 0 = -3*c + 5*d + 7, -8 = 3*c + c + 2*d. Let a be -4 + c/((-1)/(-1898)). What is the tens digit of 4/(-18) - a/54?
3
Suppose -2*r = -5*r. Let s(d) = d**3 + d**2 + 48. Let t be s(r). Suppose -4*k + n = -20 - 40, t = 2*k + 4*n. What is the units digit of k?
6
Let k = -573 - -965. What is the units digit of 5/(-15) - k/(-6)?
5
Suppose 4*y = 4*k - 18 - 6, 3*k + 2*y + 2 = 0. Suppose -5 = k*x - 25. Suppose 0 = x*h - 11*h + 72. What is the tens digit of h?
7
Let l = 10 + -6. Suppose -l*x - s = 3*s - 436, 0 = -4*s + 4. What is the hundreds digit of x?
1
Suppose 2*b - 496 = -3*o, 2*o = 7*b - 10*b + 739. What is the tens digit of b?
4
Let n(x) = -41*x + 1000. What is the tens digit of n(-4)?
6
Suppose -9 = -5*r + 3*c, 6*c - 18 = -4*r + 3*c. Let w(q) = 12*q + q**2 + 63 - 49 + q**r + 9*q**2 + 3*q**2. What is the tens digit of w(-12)?
1
Suppose -u - 3*j = -4*j - 8, j = 2*u - 12. Suppose -6*k + 9 = -81. Suppose -k = -u*a + 5. What is the units digit of a?
5
Suppose -2748 - 4161 = -7*s. What is the hundreds digit of s?
9
Let h = -26 + 36. What is the tens digit of 7 - h - (-82 + 0)?
7
Suppose -70*n + 54604 = 3*n. What is the hundreds digit of n?
7
Let b be (-1)/(-2) - (-2)/(-4). Suppose 0 = 5*q + 4*p - 183, 5*p - 10 = -b*p. Let u = q - -13. What is the units digit of u?
8
Let u(f) = -2*f + 2. Let x be u(-1). Suppose -x*i - i = -1380. What is the tens digit of i?
7
Let a = -1348 - -1595. What is the hundreds digit of a?
2
Let g(d) = d**3 + 14*d**2 + 11*d - 18. Let s = -45 - -27. Let r be 238/s - 2/(-9). What is the units digit of g(r)?
8
Let b(y) = 9*y**2 + 14*y - 13. What is the tens digit of b(6)?
9
Let p be 15*-1*(-1 + 2). Let c be -2*((-1 - -8) + 0). Let m = c - p. What is the units digit of m?
1
Let g = -324 - -1766. What is the units digit of g?
2
Let b = 2490 - 1398. What is the thousands digit of b?
1
Suppose 11 = -4*u - 5. Let n be 8 - (u + (-24)/(-4)). Suppose -n*g + g + 15 = 0. What is the units digit of g?
3
Let s(o) = o**3 + 2 - 5*o + 18*o**2 - 19*o**2 - 8. Let d(i) = i**3 - i**2 - 5*i - 5. Let p(b) = -4*d(b) + 3*s(b). What is the units digit of p(-3)?
3
What is the hundreds digit of (1 - 4) + 375*(-35)/(-21)?
6
Let v(s) = -s**2 - 19*s - 13. Let u be v(-18). What is the units digit of (5 - 20/u)*163?
3
Suppose 0 = -3*s - 3*p + 2 + 19, -33 = -4*s - 5*p. Suppose -s*t = t + 18. What is the units digit of (-194)/t - 20/15?
1
What is the tens digit of (239/2)/(((-99)/(-162))/11)?
5
Suppose 729 = b - 4*p, -25*b + 28*b - 5*p - 2180 = 0. What is the hundreds digit of b?
7
What is the units digit of 43130/210*15 - (-2)/7?
1
Let w(x) = -6*x + 16. Let d(p) = 6*p - 17. Let s(c) = -2*d(c) - 3*w(c). What is the units digit of s(14)?
0
Let z(u) = 1315*u + 9. What is the tens digit of z(1)?
2
Let u = 2572 - 1235. What is the units digit of u?
7
Suppose 0 = -2*r + 4*b + 2466, 2*r = b + 4*b + 2462. What is the thousands digit of r?
1
Let c(t) = 9*t**3 + 3*t**2 - 6*t + 7. What is the units digit of c(3)?
9
What is the hundreds digit of (-3 - -5) + -1 - -1 - -942?
9
Suppose 4*m = -1 + 33. Suppose -596 = m*x - 1884. What is the tens digit of x?
6
Let t(b) = b**3 - 7*b**2 + 6*b - 3. Let o be t(7). Suppose 2*y = 5*v + 159, 3*y - 246 = -3*v - o. What is the tens digit of y?
7
Let q(i) be the first derivative of 25*i**2/2 + 4*i + 7. Let y(s) = 8*s + 1. Let j(l) = -2*q(l) + 7*y(l). What is the tens digit of j(10)?
5
Let a = -34 + 59. Suppose v = 21 - a. Let q(m) = m**3 + 7*m**2 + 3*m - 8. What is the units digit of q(v)?
8
Let x = -113 + 81. What is the tens digit of x/6*210/(-8)?
4
What is the tens digit of ((-204)/(-170))/(3/3890)?
5
What is the units digit of 2466/2 - (8
|
{
"pile_set_name": "DM Mathematics"
}
|
tters picked without replacement from ppexxexe. Give prob of sequence ex.
9/56
What is prob of sequence tmct when four letters picked without replacement from iwtmtttgiwtiwmtttc?
7/4590
What is prob of sequence ivv when three letters picked without replacement from {i: 1, g: 3, v: 4, p: 3}?
2/165
Calculate prob of sequence hh when two letters picked without replacement from {y: 3, h: 8}.
28/55
Calculate prob of sequence tj when two letters picked without replacement from {m: 1, n: 1, d: 1, j: 1, t: 1, s: 2}.
1/42
What is prob of sequence xabx when four letters picked without replacement from {z: 2, x: 3, a: 6, b: 1, m: 2}?
3/2002
Four letters picked without replacement from ybtyydbbttybbbtt. Give prob of sequence ydty.
1/728
Three letters picked without replacement from uuiibunlbbbuihu. Give prob of sequence nlu.
1/546
Three letters picked without replacement from {i: 4, l: 10}. What is prob of sequence lli?
15/91
Two letters picked without replacement from {z: 12, d: 5, c: 2}. What is prob of sequence zz?
22/57
Two letters picked without replacement from ssppsspspsspss. What is prob of sequence ss?
36/91
Two letters picked without replacement from {l: 6, z: 2, k: 2, o: 3}. Give prob of sequence lz.
1/13
Four letters picked without replacement from {x: 3, r: 3, l: 3, o: 1, h: 2, g: 3}. Give prob of sequence llol.
1/5460
Two letters picked without replacement from lkozojlloollkjl. What is prob of sequence ll?
1/7
Two letters picked without replacement from zddpvv. What is prob of sequence vd?
2/15
Calculate prob of sequence gnng when four letters picked without replacement from {n: 5, g: 2}.
1/21
Four letters picked without replacement from ppmmpmmmmpmmmm. Give prob of sequence pppm.
10/1001
Two letters picked without replacement from vfuvvvuduvu. What is prob of sequence vu?
2/11
Two letters picked without replacement from ccsgqry. Give prob of sequence qc.
1/21
Calculate prob of sequence ddyd when four letters picked without replacement from kdkkykkkdkmkdkk.
1/5460
What is prob of sequence zzzw when four letters picked without replacement from {z: 6, j: 1, w: 3, i: 4, r: 2, d: 2}?
1/204
Calculate prob of sequence qxqq when four letters picked without replacement from xxqqxnqqq.
5/84
Calculate prob of sequence zzzv when four letters picked without replacement from {z: 4, v: 16}.
16/4845
Three letters picked without replacement from {s: 2, o: 1, y: 2, w: 1, z: 1, h: 1}. Give prob of sequence sws.
1/168
Calculate prob of sequence jjjf when four letters picked without replacement from nnfjnnnfjjnfj.
3/715
Two letters picked without replacement from {y: 4, u: 2, b: 1, g: 3}. Give prob of sequence yb.
2/45
What is prob of sequence xkn when three letters picked without replacement from {y: 2, x: 1, n: 1, m: 1, k: 1, q: 1}?
1/210
What is prob of sequence rsr when three letters picked without replacement from rsrsrsjrsjj?
8/165
Calculate prob of sequence ll when two letters picked without replacement from {y: 1, l: 2}.
1/3
Two letters picked without replacement from lmcelececlqllccllcl. Give prob of sequence qe.
1/114
Three letters picked without replacement from {g: 2, s: 10}. Give prob of sequence ggs.
1/66
Three letters picked without replacement from {g: 9, y: 1, s: 3, t: 2, j: 3, v: 2}. What is prob of sequence sjy?
1/760
Three letters picked without replacement from yyyyyyrryyryryryyy. Give prob of sequence rry.
65/1224
What is prob of sequence tryr when four letters picked without replacement from rtllylddrlttldyl?
1/3640
What is prob of sequence gg when two letters picked without replacement from glljwlllylllgwll?
1/120
Calculate prob of sequence tutu when four letters picked without replacement from {u: 12, t: 6}.
11/204
Calculate prob of sequence znp when three letters picked without replacement from {z: 2, b: 2, n: 1, p: 7}.
7/660
What is prob of sequence sfr when three letters picked without replacement from frrfsfrrfrr?
4/165
Two letters picked without replacement from lldddldlllllldlllll. Give prob of sequence ld.
35/171
Three letters picked without replacement from itfdtdvvg. Give prob of sequence vgd.
1/126
Four letters picked without replacement from ppppvppppppppvpppppp. What is prob of sequence pppp?
12/19
What is prob of sequence ee when two letters picked without replacement from kkkkeeekkkkkek?
6/91
Calculate prob of sequence ppvn when four letters picked without replacement from {p: 3, v: 7, n: 8}.
7/1530
Three letters picked without replacement from ddddodo. What is prob of sequence odd?
4/21
Two letters picked without replacement from {k: 2, g: 1, q: 1}. Give prob of sequence qg.
1/12
Three letters picked without replacement from hhhsshhh. Give prob of sequence hss.
1/28
What is prob of sequence llll when four letters picked without replacement from llllllllll?
1
What is prob of sequence gsgz when four letters picked without replacement from {s: 1, z: 2, y: 2, l: 4, g: 8, t: 3}?
14/14535
Calculate prob of sequence aj when two letters picked without replacement from {a: 3, i: 8, d: 2, j: 2}.
1/35
Two letters picked without replacement from {e: 8, p: 1, x: 1, j: 2, a: 1, r: 3}. Give prob of sequence pe.
1/30
Calculate prob of sequence kj when two letters picked without replacement from jkjkkk.
4/15
Four letters picked without replacement from mzmmzzmmzm. What is prob of sequence mzzm?
1/14
Calculate prob of sequence hqgd when four letters picked without replacement from {d: 7, q: 5, g: 1, h: 3, m: 2}.
7/4896
Calculate prob of sequence effl when four letters picked without replacement from fffnfffffflelfnelea.
45/5168
Three letters picked without replacement from xxxfxxxxxxxxxxx. What is prob of sequence xfx?
1/15
Four letters picked without replacement from {b: 3, a: 5, p: 5}. What is prob of sequence baba?
1/143
Calculate prob of sequence kk when two letters picked without replacement from {k: 4, v: 3, p: 1}.
3/14
What is prob of sequence yu when two letters picked without replacement from {d: 1, u: 1, q: 1, a: 1, y: 1, g: 2}?
1/42
What is prob of sequence sssl when four letters picked without replacement from lssslss?
1/7
Three letters picked without replacement from {a: 1, q: 1, f: 1, x: 2, j: 1, e: 2}. Give prob of sequence afj.
1/336
What is prob of sequence ps when two letters picked without replacement from {s: 1, p: 3}?
1/4
Calculate prob of sequence sosw when four letters picked without replacement from oswwwwsswwowwwsw.
1/182
Calculate prob of sequence ty when two letters picked without replacement from {t: 5, y: 4, q: 2}.
2/11
Calculate prob of sequence kjx when three letters picked without replacement from aaaxjxaakaaaaaaxwawj.
1/1140
What is prob of sequence ed when two letters picked without replacement from jdtjdjjddejjtt?
2/91
Four letters picked without replacement from yyzyyzy. What is prob of sequence zzyy?
1/21
Calculate prob of sequence jg when two letters picked without replacement from {j: 2, y: 2, l: 1, g: 1}.
1/15
Two letters picked without replacement from irjrwjirr. Give prob of sequence iw.
1/36
Calculate prob of sequence mf when two letters picked without replacement from {f: 7, m: 2}.
7/36
Three letters picked without replacement from {i: 6, t: 2, m: 4}. What is prob of sequence tmi?
2/55
What is prob of sequence pp when two letters picked without replacement from {c: 1, l: 8, p: 2, v: 2, g: 1}?
1/91
Four letters picked without replacement from {g: 4, i: 2, w: 2, y: 9, u: 1, s: 2}. What is prob of sequence ywwy?
2/1615
Three letters picked without replacement from {l: 2, k: 9, w: 2}. Give prob of sequence klk.
12/143
Calculate prob of sequence ff when two letters picked without replacement from fffff.
1
Two letters picked without replacement from {g: 1, t: 1, v: 2, o: 6, z: 5}. Give prob of sequence ot.
1/35
Calculate prob of sequence sss when three letters picked without replacement from mmsmssmssmsss.
28/143
Three letters picked without replacement from {o: 2, v: 4, r: 2, k: 1, y: 2, z: 1}. Give prob of sequence ovo.
1/165
Two letters picked without replacement from {l: 5, p: 4, d: 2, j: 2}. Give prob of sequence lp.
5/39
What is prob of sequence fqaa when four letters picked without replacement from {a: 6, q: 4, f: 1}?
1/66
Calculate prob of sequence khk when three letters picked without rep
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{
"pile_set_name": "DM Mathematics"
}
|
6*h - 199*h**2 - 20. Let s(o) = 3*o**2 + 9*o + 7. Calculate -11*s(k) - 4*x(k).
-k**2 + 5*k + 3
Let j(o) = 8*o - 14. Suppose -8*v = -15*v - 77. Let a = 25 - 20. Let w(u) = -5*u - 5*u + 12*u - 5*u + a. Give v*w(d) - 4*j(d).
d + 1
Let c(l) = 2*l**2 + 3. Let z be (6/(-9))/(4/(-12)). Let k(m) = 4*m**2 - 9 + 8 + 4 - 2*m**z. Let u be (-3 + 18/4)/((-3)/6). Give u*c(a) + 2*k(a).
-2*a**2 - 3
Let w(o) = 1 + 0 - o + 0 - 2. Let c(s) = 4*s + 5. Let n(l) = c(l) + 5*w(l). Let d(i) = -i - 10 + 10 - 3*i - 3*i. Determine d(z) - 4*n(z).
-3*z
Let d(x) = -9*x**2 + 24*x + 20. Let m be d(3). Let h(l) = -6*l + 2. Let w(a) = -17*a + 5. Calculate m*h(n) - 4*w(n).
2*n + 2
Let q(z) = 386*z**2 + 2*z + 6. Let c(p) = -386*p**2 - 2*p - 5. Calculate 6*c(h) + 5*q(h).
-386*h**2 - 2*h
Let l(w) = -4 - 14 + 10*w + 28*w - 5 - 36*w. Let v(g) = -g + 11. Calculate 2*l(r) + 5*v(r).
-r + 9
Let v(b) = -103754*b**3 + 91*b**2 + 182*b + 182. Let z(j) = -6917*j**3 + 6*j**2 + 12*j + 12. Calculate 6*v(n) - 91*z(n).
6923*n**3
Let t(j) be the second derivative of 7*j**4/12 - j**2 + 122*j + 6. Let m(u) = -20*u**2 + 7. Let s = -6 + 13. What is s*t(w) + 2*m(w)?
9*w**2
Let y(p) = -11*p - 11. Let j be 4/(-10)*-20 + -1*3. Let f(v) = -3*v - v + 4*v - j*v - 5. Give -13*f(h) + 6*y(h).
-h - 1
Let z(s) = 9*s**2 + 19*s. Suppose -187*x + 2282 + 304 = 244*x. Let a(p) = -5*p**2 - 10*p. Give x*z(c) + 11*a(c).
-c**2 + 4*c
Let a = 44804 + -44800. Let t(w) = 5*w**2 + 7*w - 4. Let l(z) = 6*z**2 + 6*z - 5. What is a*t(m) - 3*l(m)?
2*m**2 + 10*m - 1
Let i(x) = x - 1. Let c(u) = -3*u - 1. Let g(y) = 6*y + 1. Let m(d) = -7*c(d) - 5*g(d). What is 4*i(j) + m(j)?
-5*j - 2
Let m(h) = -2*h**3 + 22*h**2 + 21*h. Let d(w) = -4*w**3 + 43*w**2 + 44*w. Determine 3*d(r) - 5*m(r).
-2*r**3 + 19*r**2 + 27*r
Let k(p) = p. Let d(l) = -5443 - 6*l - 5438 + 10883 - 2*l. What is -d(u) + 4*k(u)?
12*u - 2
Let l(g) = -29*g. Let a(c) = -1333*c. Let t = -2566 + 2659. What is t*l(m) - 2*a(m)?
-31*m
Suppose 3*r = -4 - 2. Let x = 23 + 24. Let g = x + -46. Let b(j) = j - 1. Let p(n) = n**2 - 5. Calculate g*p(a) + r*b(a).
a**2 - 2*a - 3
Let q(x) = 15*x**3 - 14*x**2 + 10*x + 6. Let l(w) = 13*w**3 - 11*w**2 + 9*w + 5. Calculate 4*l(s) - 3*q(s).
7*s**3 - 2*s**2 + 6*s + 2
Let r(l) = 7*l + 7. Let o(j) = 3*j - 3. Let g be o(3). Let h(v) = 2*v**2 + 51*v + 213. Let i be h(-20). Let w(k) = 9*k - 2*k + k + 0 + 8. Give g*w(t) + i*r(t).
-t - 1
Let y(h) = 22*h**3 - 28. Let v(c) = 7*c**3 - 9. Let x = -21987 - -21997. What is x*v(p) - 3*y(p)?
4*p**3 - 6
Let g(c) be the third derivative of 7*c**6/40 + c**5/10 - c**3/6 - 16*c**2 - 7*c - 2. Let u(z) = -20*z**3 - 5*z**2. What is -3*g(i) - 4*u(i)?
17*i**3 + 2*i**2 + 3
Let i = 201 + -200. Let a(q) be the first derivative of q**2/2 + 1090. Let b(f) = -7*f + 1. Calculate i*b(g) + 6*a(g).
-g + 1
Let x(p) = -2*p - 4. Let m(w) = -w**2 - 2001*w + 20. Calculate m(c) + 5*x(c).
-c**2 - 2011*c
Let c(h) = -1236*h - h**2 + 2463*h - 1235*h - 4*h**3. Let k(r) = -7*r**3 - 2*r**2 - 15*r. Determine 11*c(p) - 6*k(p).
-2*p**3 + p**2 + 2*p
Let h(t) = -1815*t**2 + 7*t - 17. Let g(l) = 460*l**2 - 2*l + 4. Give 9*g(u) + 2*h(u).
510*u**2 - 4*u + 2
Let d(n) = n - 1. Let x(b) = 3*b - 9. Let h(l) = 11*l - 26. Suppose 0 = 46*i - 56*i - 80. Let c(r) = i*x(r) + 3*h(r). What is -c(q) + 5*d(q)?
-4*q + 1
Let p(h) = -929372*h**2 + 1642*h + 1642. Let w(k) = -1699*k**2 + 3*k + 3. Determine -3*p(m) + 1642*w(m).
-1642*m**2
Let r(d) = -3*d**3 + 5*d + 5. Let n be (36/54)/(((-120)/(-105))/(12/14)). Let k(v) be the first derivative of -6 - v - n*v**2. Calculate 5*k(z) + r(z).
-3*z**3
Suppose -2*w + 2 = 2*g, 4*g = w - 44 + 23. Let j = 50 + -51. Let q(t) = -t**2 - t. Let o(b) = 11*b**2 + 4*b. Give g*q(n) + j*o(n).
-7*n**2
Let g(o) = 24*o. Let q(y) = -12*y. Let b be (-6)/(6 - 8)*2/9*6. Determine b*g(x) + 9*q(x).
-12*x
Let v(z) be the second derivative of -13*z**4/12 - 4*z**3/3 - 3*z**2 - 5935*z. Let d(h) = -7*h**2 - 4*h - 3. Calculate -11*d(o) + 6*v(o).
-o**2 - 4*o - 3
Let y(c) = 47*c**2 + 23*c - 218. Let j(x) = 11*x**2 + 5*x - 55. Determine 9*j(k) - 2*y(k).
5*k**2 - k - 59
Let l(o) be the third derivative of o**6/60 + 11*o**5/30 + o**4/3 - 4*o**3/3 + o**2 + 1554*o. Let g(p) = p - 1. What is 8*g(f) - l(f)?
-2*f**3 - 22*f**2
Let f be (-2)/10 + 42/10. Let y(o) be the second derivative of -o**3/6 - 2*o**2 + 331*o. Let n(p) be the second derivative of p**2/2 - 17*p. Give f*n(m) + y(m).
-m
Let j(m) = m**3 + 36*m**2 - 5*m. Let i(t) = -7*t**2 + t. Suppose -5*l - 57 = 4*l + 42. Determine l*i(k) - 2*j(k).
-2*k**3 + 5*k**2 - k
Let i(v) = -v**2 + v + 1. Let n be 216/(-12) + 2 + 17. Let c(r) = -2*r**2 - r - 3. Determine n*c(d) + 5*i(d).
-7*d**2 + 4*d + 2
Let a(d) = d - 21. Let n(s) = 14*s + 71. Give 3*a(q) - n(q).
-11*q - 134
Let a(s) = 162*s - 18. Let c(z) = 314*z - 38. Determine -9*a(o) + 4*c(o).
-202*o + 10
Let v(g) = g**2. Suppose -1005*q - z = -1000*q + 9, 9 = -q - 2*z. Let b(h) = -h - 14. Give q*b(l) - 2*v(l).
-2*l**2 + l + 14
Let y(g) = 18*g - 115. Let w(a) = 27*a - 225. Determine -2*w(v) + 5*y(v).
36*v - 125
Let r = -5095 + 5097. Let s(u) = -35*u**3 + 2*u**2 + 2*u - 2. Let j(h) = 139*h**3 - 9*h**2 - 9*h + 9. Determine r*j(t) + 9*s(t).
-37*t**3
Let h(a) = -6*a + 1. Suppose 985*v = 1015*v + 120. Let u(m) = -5*m + 2. Give v*u(j) + 3*h(j).
2*j - 5
Suppose -3*x = -0*x - 4*n - 125, 0 = -2*n - 10. Let o be (7 - 1 - 2) + 0. Let z(f) = 45*f + 35. Let m(c) = -5*c - 4. Determine o*z(j) + x*m(j).
5*j
Let t(a) = 590*a**3 + 56*a**2 + 12*a + 12. Let j(f) = -354*f**3 - 33*f**2 - 7*f - 7. Determine 12*j(w) + 7*t(w).
-118*w**3 - 4*w**2
Suppose 214*o = -239 + 25. Let r(n) = 2*n**3 - n**2 + 2*n - 5. Let v(i) = i**3 + i**2. Give o*v(y) - r(y).
-3*y**3 - 2*y + 5
Let w = 3802 + -3796. Let x(a) = -69*a**2 - 23*a - 23. Let m(y) = 17*y**2 + 6*y + 6. What is w*x(c) + 23*m(c)?
-23*c**2
Let t(j) = -2664*j**3 - 259*j**2 + 259*j. Let h(n) = n**3 - 47*n**2 + 117*n + 401. Let r be h(44). Let w(l) = 41*l**3 + 4*l**2 - 4*l. What is r*w(b) - 4*t(b)?
37*b**3
Let w(t) = -3*t - 18. Let y(k) be the second derivative of -2*k**3/3 - 9*k**2 + 8371*k. What is 3*w(j) - 2*y(j)?
-j - 18
Let h(m) = -4*m - 7. Let p(l) = -25*l + 238. Let x(a) = 48*a - 456. Let j(s) = 23*p(s) + 12*x(s). Let b be 24/10 + 2/(-5). What is b*h(w) + 7*j(w)?
-w
Let n(y) = 26*y**3 + 3*y**2 + 23*y + 8. Let i(c) = -14*c**3 - c**2 - 13*c - 4. What is 5*i(d) + 3*n(d)?
8*d**3 + 4*d**2 + 4*d + 4
Let t(f) = 2*f**3 + f**2 - 2*f + 2. Let i(l) = 5*l**3 - 5018*l**2 - 4*l + 4. Determine -i(n) + 2*t(n).
-n**3 + 5020*n**2
Let c(k) = -21*k**3 - 11*k**2 + 26*k + 6. Suppose -2224 = -24*n - 568. Let u = 67 - n. Let m(o) = -4*o**3 - 2*o**2 + 5*o + 1. What is u*c(a) + 11*m(a)?
-2*a**3 + 3*a - 1
Let x(y) = -y**3 + 35*y**2 + 65*y + 328. Let v be x(37). Let s(b) = 9*b**2 + 5*b. Let z(w) = -4*w**2 - 2*w. Give v*z(d) - 2*s(d).
2*d**2
Let g(j) = 165*j + 1. Let k(h) = -9*h + 1. What is -g(t) - 6*k(t)?
-111*t - 7
Let r(i) = 49*i - 2. Let u(n) = 827*n - 9925. Let d be u(12). Let p(o) = -o - 1. Calculate d*r(y) + 2*p(y).
-51*y
Let q(a) = 14*a - 6. Let l(m) be the third derivative of -5*m**4/8 + 7*m**3/6 + 356*m**2. What is 5*l(p) + 6*q(p)?
9*p - 1
Let w = 1175159 + -1175157. Let z(p) = 10*p - 11. Let k = 4 + -2. Let v(b) = -k - 2*b + 3*b + b. Calculate w*z(q) - 11*v(q).
-2*q
Let r(p) = -p**3 - p**2 - 2*p + 4. Suppose -58*q + 4*y = -53*q + 5, 0 = 2*y. Let b(l) = l - 1. Calculate q*r(u) - 4*b(u).
u**3 + u**2 - 2*u
Let h(b) = -4*b**2 + 72*b - 284. Let u be h(6). Let v be 17 + 2/((-4)/(-2)). Let i(p) = 13*p. Let g(s) = -2 + 2 - 3*s. Determine u*i(x) + v*g(x).
-2*x
Suppose 3*q - 56 + 42 = -2*o, -26 = -4*o - 5*q. Let a(t) = -11*t**3. Let n(l) = 210*l**3. Give o*n(v) + 77*a(v).
-7*v**3
Let q(g) = 2*g**3 - 24*g**2 + 17*g + 31. Let z(w) = 3*w**3 - 32*w**2 + 22*w + 41. What is 9*q(p) - 7*z(p)?
-3*p**3 + 8*p**2 - p - 8
Suppose -4*t - 20 = 2*b - 26, 0 = -3*t. Let r(k) = 15*k**3 - k**2 - 5*k + 7. Let c(f) = -7*f**3 + f**2 + 3*f - 4. What is b*r(w) + 5*c(w)?
10*w**3 + 2*w**2 + 1
Let s(z) = -8*z**3 - 4*z**2 + z. Let f(j) = -447*j**2 + 150*j**2 - 3*j**3 + 144*j**2 - 12*j**3 + 2*j + 146*j**2. Calculate -4*f(p) + 7*s(p).
4*p**3 - p
Let h be (3 + (-35)/14)*(-3 - -1). Let v(y) = 4*y**3 - 8*y**2 + 4. Let g(m) be the second derivative of m**5/20 - m**4/12 + m**2/2 - 67*m. Give h*v(r) + 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
et t(b) = -b**3 - 9*b**2 - 9*b - 12. What are the prime factors of t(-9)?
3, 23
Suppose 2*g + 1 = c, 5*g - c = 2*c - 5. Suppose -3*n = -g*f - 39, -3*n - 5*f = -3*f - 39. List the prime factors of n.
13
What are the prime factors of (1/(-2))/(8/(-480))?
2, 3, 5
Suppose 0 = -4*a + 1 - 17. Let c(j) = 2*j**2 + 2*j - 2. Let q be c(a). Let v = q + -15. List the prime factors of v.
7
Let d = 5 - -19. Suppose 2*h + h = d. Let i(z) = z + 1. List the prime factors of i(h).
3
Let p = -3 - -6. List the prime factors of 2 + -18*(-4)/p.
2, 13
Let z be 2/6 - (-44)/12. Suppose 0 = -0*i + i - 3*p - 12, -i + p = -z. Suppose i*u + 4*u - 28 = 0. List the prime factors of u.
7
Let a = -7 + 5. Let r(u) = -u**3 - 2*u**2 + 1. Let s be r(a). Let x(z) = 12*z**2 - z. List the prime factors of x(s).
11
Suppose -g = -5*p - 26, 2*g - 23 = 3*p + 1. Let j = 3 + g. Suppose -j = -2*b - 1. What are the prime factors of b?
2
Suppose -546 = -3*y - 3*c, -5*y = -5*c - 318 - 612. List the prime factors of y.
2, 23
Let o(c) be the third derivative of c**4/24 - c**3/2 - 2*c**2. Let q be o(5). Suppose -4*r - 16 = -2*j, -q*r = 5*j - j - 22. What are the prime factors of j?
2, 3
Suppose -2*y + 3*v = -761, -4*y - 5*v + 1533 = -0*v. Let z = -212 + y. What are the prime factors of 2/9 + z/45?
2
Let l(b) = b**2 + 6*b + 2. Let p be l(-6). Let j = p - -2. Suppose j*q - 3*y = 38, -3*y + 0*y = -5*q + 49. What are the prime factors of q?
11
Let m be 6/(-8) - 7/28. List the prime factors of (-3)/(4 + m) - -34.
3, 11
Suppose 0 = -4*b + 2*j + 14, 0*b - j - 13 = -5*b. Suppose b*w = -2*w + 20. Suppose 39 + w = 4*v. What are the prime factors of v?
11
Let a = 128 + -74. What are the prime factors of a?
2, 3
Let h be (-6)/(-27) - (-88)/9. Suppose 3*m + 4 - h = 0. List the prime factors of m.
2
Let j be (4/5)/((-3)/(-15)). Suppose 2*p - 8 = p. Suppose j*a + p = 6*a. What are the prime factors of a?
2
Suppose 4*y = -11*y + 3555. List the prime factors of y.
3, 79
Let p(g) be the second derivative of g**4/4 + g**3/2 + g**2 - g. Let i = -13 + 11. List the prime factors of p(i).
2
Suppose -3*n - 3*i - 5 = -20, -5*i = 4*n - 22. Suppose n*p + 40 = 2*y, y - 19 = 5*p + 1. What are the prime factors of (1/(-2))/((-1)/y)?
2, 5
Let k(v) = v**3 - 7*v**2 + 5*v + 7. Let h be k(6). Let l = 2 - h. Let f(q) = 13*q**3 + q**2 + q - 1. What are the prime factors of f(l)?
2, 7
Let p = -12 - -3. What are the prime factors of (-2)/p + (-388)/(-36)?
11
Let r(c) = 1 - 7*c + 4*c - 2. Let p be r(-3). What are the prime factors of 110/8 + 2/p?
2, 7
Let u(d) = -d**2 + d + 3. Let l be u(0). Suppose -2*r + 10 = 0, l*r + 11 = -4*h - 30. List the prime factors of (-42)/12*24/h.
2, 3
Suppose -2*g + c = -7, 0 = 7*g - 6*g - 5*c + 1. List the prime factors of g.
2
Let l = 39 - 19. Let c = l + -9. What are the prime factors of c?
11
Let y be 8/3*(-1620)/(-16). Suppose -y = o - 6*o. List the prime factors of o.
2, 3
Suppose -q + 34 + 22 = 0. What are the prime factors of q?
2, 7
Let p(v) = v**3 - 6*v**2 - 8*v + 3. Let q be p(7). Let f = 4 + q. Suppose 7 = -f*u + u. List the prime factors of u.
7
Let n = 85 - -5. What are the prime factors of n?
2, 3, 5
Let o(m) = 3*m + 1. Suppose -4*s = 2*c - 7*c - 5, -4*c - 8 = -4*s. What are the prime factors of o(c)?
2, 5
Let q(r) be the third derivative of r**4/6 - 5*r**3/6 - r**2. What are the prime factors of q(4)?
11
Suppose -3*c = -4*c - 2. Let u = c + 17. What are the prime factors of u?
3, 5
Let z(h) = h**3 + 7*h**2 + 2*h - 3. Let y(r) = -3*r - 2. Let s be y(-2). Suppose -c = -s*c - 18. What are the prime factors of z(c)?
3, 7
Suppose -2*w = -2*p + 154, w + 46 = 2*p - 103. List the prime factors of p.
2, 3
Let f be -4 + (0 - -1) - -5. Suppose 0*q + c = 3*q - 58, 24 = q + f*c. List the prime factors of q.
2, 5
Suppose 5*c = h + 93, 7*c - 2*c - 2*h = 96. List the prime factors of c.
2, 3
Suppose 2*i - i = 5*m - 23, 0 = -m - 2*i - 2. Let s = m + 23. What are the prime factors of s?
3
Let v(y) = -2*y + 2. Let h be v(5). Let z(t) = -11*t + 4. Let c be z(h). List the prime factors of (-1)/(c/(-30) - -3).
3, 5
Suppose -5*z + 93 = 5*o - 62, -55 = -2*z + 5*o. Let h = z + -17. List the prime factors of h.
13
What are the prime factors of 16/(-56) + 37/7?
5
Let l be 39*((-1)/3 - -1). Let y = l - 18. Suppose -3*p + 1 + y = 0. What are the prime factors of p?
3
Let d be 5*(2 - 1/1). Suppose 4*x - f - 7 = 3*x, -x = -d*f - 15. What are the prime factors of x + 2 + 0/(-3)?
7
Suppose 5*f + 1 = -4*a, 0 = 2*a + a + 3*f. What are the prime factors of (47 - 2)*a + 1?
2, 23
Let t(p) = -6*p - 9. What are the prime factors of t(-8)?
3, 13
What are the prime factors of (-3)/(-18) - (-1375)/30?
2, 23
Let o = 10 - 7. Suppose -2*y + 1 = -3*b, 0 = -o*y - 4*b + 60 - 16. List the prime factors of y.
2
Suppose -6*v = -5*v - 56. List the prime factors of v.
2, 7
Let w = -16 - -56. What are the prime factors of w?
2, 5
Suppose 9*s - 20 = 4*s. Suppose -3*z = -5*z + s. Suppose 24 = -0*r + z*r. List the prime factors of r.
2, 3
Let r(c) = c**2 + 6*c + 5. Let g be r(-9). Suppose -2 + g = 3*v. Let i = v + -3. List the prime factors of i.
7
Let y(i) = 2*i**3 - 6*i**2 - 2*i. Let r be y(5). Suppose 0 = -2*p - 3*p + r. What are the prime factors of p?
2, 3
Suppose -3*i = -2*a - 3*a - 82, 3*i - 90 = -3*a. Let k = i - 5. Suppose 0 = 3*l - 0*l - k. List the prime factors of l.
2
Let i be -1 - (-3 - -6 - 7). Suppose -3*b + 9 = 2*y - 2*b, 0 = -5*y + b + 12. Suppose 46 = 5*j - y*k, 7*j = 4*j + i*k + 24. What are the prime factors of j?
11
Suppose -2*f - 21 = 4*t - 405, 3*t - 939 = -5*f. Let j be f/5 + 1/(-5). Suppose 0 = -4*i + 3*n + j, 1 = n - 0. List the prime factors of i.
2, 5
Let f(h) = h - 3. Let x be f(3). Suppose 0 = 2*k - 4*u - x*u - 42, 0 = u + 5. List the prime factors of k.
11
List the prime factors of 4/(-10) + 0 + (-7422)/(-30).
13, 19
Let h be ((-3)/2)/((-6)/8). Suppose h*u = 2 + 2. List the prime factors of (-2)/u + 2 - -10.
11
Let k(q) = q**3 - 2*q**2 + 2*q + 1. Let y(i) = -i**3 + 2*i**2 - i - 1. Let x(r) = 3*k(r) + 4*y(r). What are the prime factors of x(2)?
3
Suppose -s - 24 + 80 = 0. List the prime factors of s.
2, 7
Suppose -531 = -0*j - 3*j - 2*q, 4*j - 3*q = 691. What are the prime factors of j?
5, 7
Let n(z) = -3 - 5 - 2*z + 4*z. What are the prime factors of n(7)?
2, 3
Suppose 2*s = 5*y - 427, -y + 2*s + 71 = -2*s. What are the prime factors of y?
3, 29
Let v(b) = b**2 + 5*b + 6. Let l be v(-4). Let a(f) = -2 - f**3 + 3*f**l + 4*f**2 - 5*f - 1. What are the prime factors of a(6)?
3
Suppose b + 5 = 2*b. Suppose -b*h = -5*f - 220, 0 = 4*h - 0*f + f - 171. List the prime factors of h.
43
Let i(x) = x**2 - 6*x - 4. Let h be i(7). Suppose 5*g + h*y - 116 = 0, -g = -0*g - 3*y - 16. List the prime factors of g.
2, 11
Suppose 3 = -i - 2*m, 5*i - 3 = i - 3*m. List the prime factors of i.
3
Suppose 0*b + 3*b + 5*p = 3, 3*b + p - 15 = 0. What are the prime factors of (-8)/b*(-45)/6?
2, 5
Let w(n) = -n**3 - 4*n**2 - 3*n + 2. Let q be w(-3). Suppose -4*i = -q - 2. List the prime factors of 2 - i*-5 - 2.
5
Let k be (-1 - -1)/(4/2). Suppose k = -4*u + 3*u + 3. Suppose u*p - 24 = p. List the prime factors of p.
2, 3
Let l = 15 - 17. List the prime factors of (-65)/l + (-10)/(-20).
3, 11
Let b = 94 + 182. Suppose -101 = 5*x - b. What are the prime factors of x?
5, 7
Let r(p) be the first derivative of -p**4/24 + 2*p**3 - p**2 + 2. Let v(q) be the second derivative of r(q). List the prime factors of v(9).
3
Let h(i) = i**3 - i**2 - i. Let z be h(2). Suppose 24 = -0*d + z*d. What are the prime factors of d?
2, 3
Let t(o) = -128*o**3 + o**2 + 2*o. What are the prime factors of t(-1)?
127
Suppose 1088 = -0*k + 8*k. List the prime factors of k.
2, 17
Let z(i) = i**3 - 5*i**2 + 6*i - 3. Let v be z(4). Let s(n) = n**2 - 7*n - 7. Let c be s(v). Let w = c + 28. List the prime factors of w.
11
Let x = 320 + -139. What are the prime factors of x?
181
Suppose 6 = p - 9. Suppose -5 = -n, -4*w + p = n - 10. List the prime factors of w.
5
Let p be -2 - (-5 - -2) - -12. Suppose 0 = 3*u - 3. List the prime factors of 1 + u*-2 + p.
2, 3
Suppose -z - 5*n + 23 = 0, -n - 12 = -2*z + 23. List the prime factors of z.
2, 3
Suppose -5*z = 2*o - 29, -o + z = o + 1. Let b be (-1)/o + 70/4. Suppose -15 - b = -4*t. List the prime factors of t.
2
Let v be (-1)/3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose 11*f = 8*f + d. What is the units digit of f?
8
Let t = -2 + 11. What is the units digit of t?
9
Let s = 6 + -11. Let v = 11 + s. What is the units digit of v?
6
Let g = 463 + -213. What is the hundreds digit of g?
2
Let r = 30 + -9. Suppose 2*u + 9 = 4*u - o, r = 4*u - o. What is the units digit of u?
6
Let b(n) be the third derivative of -5*n**4/6 + n**3/6 - 2*n**2. Let y be b(-1). Suppose -y = -0*g - 3*g. What is the units digit of g?
7
Let g(d) = d**3 - 11*d**2 + 11*d - 4. Let h be g(10). Suppose -h*m + 3*m + 27 = 0. What is the units digit of m?
9
Let a be -10*(4 - 2) - 0. Let k = 26 + a. What is the units digit of k?
6
Let c be 2/(-6) + (-14)/(-6). Suppose -2*o - 7 = -5*l, 4*l + o - 7 = 4*o. Suppose -c*r + j + 11 = 0, -j = -r + l + 2. What is the units digit of r?
8
Suppose 4*d = 4*h + 9*d - 25, 4*h - 4*d + 20 = 0. Let u be (h + 2)/(2/(-12)). Let t = 20 + u. What is the units digit of t?
8
Let f(a) = -20*a - 8. Let i be f(7). Let p be (-2)/(-4) - i/(-8). What is the tens digit of (-4 + p)*(-1)/2?
1
Let c be (-99)/(-21) + 4/14. Suppose 2*k - 65 - c = 0. Suppose -4*v + v = -5*n + k, -2*n + 14 = 2*v. What is the units digit of n?
7
Suppose 3*j + 3*h + 0 - 9 = 0, -h = -j - 3. Suppose 3*f = -j*f + 135. What is the tens digit of f?
4
Suppose -2*g - 12 = -6*g. Suppose k + 2 - 4 = 0. What is the units digit of 2/g*27/k?
9
Suppose 10 = 2*a + 3*j + 1, j = 3*a - 8. Let c be (8/6 - 2)*3. What is the units digit of c/2 - (-11 + a)?
7
What is the units digit of 24/10*80/6?
2
Let w = -89 + 93. What is the units digit of w?
4
Let r(y) = 5*y - 2. Let j be r(4). Let k = -1 + j. What is the units digit of k?
7
Suppose -5 = -2*k + 1. Suppose -m + 5*r + 36 = 0, 2*r = k*m + r - 94. What is the tens digit of m?
3
Let h(l) = l**3 + 13*l**2 + 9*l + 11. What is the hundreds digit of h(-11)?
1
Let d(s) = -s**2 - 12*s + 12. What is the units digit of d(-9)?
9
Let y(c) = -2*c**2 - 13*c. Let u(i) = i**2 + 6*i. Let v(f) = 5*u(f) + 2*y(f). What is the units digit of v(-5)?
5
Suppose 14 = -4*b + 50. Let p = 6 - 3. Let c = b - p. What is the units digit of c?
6
Suppose -2*j - 3*r + 98 = 24, 0 = 2*j - 3*r - 62. What is the tens digit of j?
3
Let t = -95 - -279. What is the units digit of t?
4
Let b(z) = z. Let k(c) = -3*c - 8. Let r(l) = -5*b(l) - k(l). Let d be r(-9). Suppose 59 = 5*m - d. What is the units digit of m?
7
Suppose -y = -0*y. Suppose -18 - 3 = -7*r. Suppose -w - 2*j + 2 = -y*w, -11 = -r*w - j. What is the units digit of w?
4
Let c = 1 + 2. Suppose c*j - 2*m = 38, 3*j - 4*m = 6 + 34. What is the units digit of j?
2
Let f(b) = -b + 5. Let g be f(0). Suppose j = -a + g, -j + 8 = 4*a - 0. Suppose -m = j - 16. What is the tens digit of m?
1
Let b(g) be the second derivative of g**7/2520 + g**6/144 + g**5/24 - g**4/6 + g. Let z(d) be the third derivative of b(d). What is the units digit of z(-4)?
1
Let b be (-1)/(2*2/(-8)). What is the tens digit of (-5)/b*28/(-5)?
1
Let h = -10 + 11. What is the units digit of h?
1
Suppose h - 6 = -2*r - 1, 4*r = -5*h - 5. Let x(k) = 4*k - 2. What is the units digit of x(r)?
8
Suppose -3*h - 191 = -4*n, 0 = n + 3*n - 4*h - 192. What is the units digit of n?
7
Let i be 2/(-7) + (-108)/14. Let o(w) = -w**3 - 7*w**2 + 8*w - 8. Let t be o(i). What is the tens digit of (-82)/t - (-2)/(-8)?
1
Let i be (-4)/(-1) + -9 + 7. Let m be i/(-4)*(-1 + -7). Suppose 0 = m*r - r - 3. What is the units digit of r?
1
Let o(f) = 252*f**2 + f. What is the tens digit of o(-1)?
5
Suppose 44*b - 46*b + 628 = 0. What is the tens digit of b?
1
Let a be (18/4)/((-30)/(-80)). Suppose 8*y - 110 = 3*y. Let s = y - a. What is the units digit of s?
0
Let o(u) be the third derivative of -u**4/24 - 2*u**3/3 - 2*u**2. Let v be o(-7). What is the units digit of 7 + (9/v)/3?
8
Let f = 87 - 55. What is the units digit of f?
2
Suppose -4*l + 31 = 3*m, 0 = -0*m + 2*m - 2*l - 44. What is the units digit of m?
7
Suppose -5*o = -428 + 98. What is the units digit of o?
6
Let w be 2/(-2)*(4 + -8). Let t(k) = k**3 - k**2 - 6*k + 1. What is the units digit of t(w)?
5
Let h(b) = 5 + 0 - 8 - b + 2. What is the units digit of h(-10)?
9
Let t = -7 + 12. Suppose -t*h = -6 - 4. What is the units digit of 4 - (h + 0 - 2)?
4
Let j(x) = -3*x + 11. What is the tens digit of j(-6)?
2
Suppose 5*u + 2*t = 5 + 9, 2*t - 4 = 0. Suppose -5*b = 5*s - 40, -u*b = -6*b - 8. Suppose -2 = -3*y - q, -2*q = 3*y + 2*q + s. What is the units digit of y?
2
Let r(m) be the third derivative of 5*m**4/12 + 2*m**3/3 - 3*m**2. Let v(c) = -21*c - 7. Let f(l) = 5*r(l) + 3*v(l). What is the tens digit of f(-1)?
1
Suppose -4*l + 17 + 307 = 0. What is the units digit of l?
1
Let f be 12/(-8)*(-4)/(-3). Let d(u) = u**2 + u. What is the units digit of d(f)?
2
Let y(a) be the third derivative of a**6/120 + 7*a**5/60 - a**4/6 - a**3 + 2*a**2. What is the tens digit of y(-7)?
2
Suppose 0 = 4*k - 9*k + 280. What is the units digit of k?
6
Suppose 2*v = -4*v + 132. What is the units digit of v?
2
Let j = -22 - -37. Let g = 21 + j. What is the tens digit of g?
3
Suppose 5*u - 182 = -3*j, 0*j = j - 4. What is the tens digit of u?
3
Let i(x) = -x + 13. Let f be i(9). Suppose -12 = -f*o, 4*h + o = 44 - 1. What is the tens digit of h?
1
Suppose -5*b + 4 + 6 = 0. Let f = b + -1. Suppose 4*r - f + 6 = n, -3*n = -4*r - 7. What is the units digit of n?
1
Let h be 3 + -1 - (-5 + 9). Let w(t) = t**2 + 3*t - 4. Let c be w(-4). Let f = c - h. What is the units digit of f?
2
Let k = -96 + 219. What is the hundreds digit of k?
1
Let c = -7 + 9. Let l = -1 + c. Let q(g) = 4*g**2 + 1. What is the units digit of q(l)?
5
Suppose 5*h - 7 = 148. What is the units digit of h?
1
Let v(r) = r**3 - 7*r**2 - 5*r + 11. Let u be ((-3)/9)/((-2)/48). What is the tens digit of v(u)?
3
Let m = 20 + -11. Suppose 2*s - 51 = -m. What is the tens digit of s?
2
Suppose 5*a + 2*b - 420 = 205, -2*a = -4*b - 226. What is the units digit of a?
3
Suppose -99 = -5*j - 4*b + 21, 5*j - 4*b = 80. Let h = j - 14. What is the units digit of h?
6
Let v = 214 - 112. What is the tens digit of v?
0
Let q(i) = i - 5 + 14*i + 2*i - i**2. What is the tens digit of q(16)?
1
Let a(q) be the third derivative of -q**6/120 + 2*q**5/15 + q**4/12 - 7*q**3/6 + q**2. Let w be (-11)/(-88) - 126/(-16). What is the units digit of a(w)?
9
Suppose 75 = 3*u - 2*u. Suppose -p = 4*p - u. Suppose p = -0*a + a. What is the units digit of a?
5
Let g(c) be the second derivative of -c**5/20 - c**4/6 - 2*c**3/3 - c**2 + c. What is the units digit of g(-2)?
6
What is the units digit of 9/3 + 9 + -1?
1
Suppose -n + 395 = -m, -4*n = -3*m - 889 - 686. What is the hundreds digit of n?
3
Let b(s) = 11*s**2 - 10*s - 1. Let x(m) = 4*m**2 - 3*m. Let q(g) = 3*b(g) - 8*x(g). What is the units digit of q(8)?
3
Let i be 16/10*10/4. Suppose 2*g + 2 = i*j, -g - 1 = -4*g + 5*j. Let h = g + -2. What is the units digit of h?
5
Suppose -3*u - 3*m + 257 + 4 = 0, 0 = -5*m. Let f = -57 + u. What is the tens digit of f?
3
Let m = -5 - -8. Suppose 5*p - m*p = -6. Let f = -2 - p. What is the units digit of f?
1
Suppose t = -4*c + 2*c + 10, 0 = -5*c + 3*t + 25. Suppose 0 = c*d - 4*d - 10. What is the tens digit of d?
1
Suppose -20 = -5*w + 50. Suppose 34 = 4*m - w. What is the units digit of m?
2
Suppose 4*b + 5*z - 115 = 0, 0 = 2*z + 4 - 2. What is the units digit of b?
0
Let t = 7 - -8. Let r = -1 + t. What is the units digit of r?
4
Let f(q) = 8*q - 51. What is the hundreds digit of f(20)?
1
Suppose -7*a + 687 - 176 = 0. What is the tens digit of a?
7
Let s = 85 + -55. Suppose 4*f + 4*r - 40 = 0, -4*f = f - 5*r - s. What is the units digit of f?
8
Let t = 42 - 30. Suppose -2*b - 3*h - 1 = 0, 2*b = h + 2 + 9. Suppose s = b*s - t. What is the units digit of s?
4
Suppose 0 + 2 = 2*g + b, -5*b + 10 = 4*g. Let i(l) = l + 3. Let j be i(0). Suppose g = -3*n - j + 45. What is the units digit of n?
4
Suppose 0*z + 2*z = 10. Suppose -4*r - 5*m + 32 = 0, 4*m + z = -2*r + 27. Suppose -5*q + 7 + r = 0. What is the units digit of q?
2
Suppose 128 = 3*p + 47. What is the units digit of p?
7
Suppose 0*x - 1 = -x. Suppose 4*y = -3*z + 25, 3*y - z - 8 - x = 0. Suppose 2*t - 31 = -5*v, 0 = -2*t - t - y*v + 29. What is the units digit of t?
3
What is the units digit of 2 + 1 + 6 - -3?
2
What is the tens digit of 212/6 - (-9
|
{
"pile_set_name": "DM Mathematics"
}
|
Let m(z) = 5*z + 8. Let r(q) = -q + 1. Let y(w) = m(w) + 6*r(w). Let j = -150 - -163. Give y(j).
1
Let o(d) = -3*d. Suppose 0 = -u - f - 1, 87*f = -u + 85*f - 3. Give o(u).
-3
Let r(t) = 25*t**2 - 5*t - 10. Let o(z) = -28*z**2 + 6*z + 12. Let f(g) = 4*o(g) + 5*r(g). Give f(-1).
12
Let j(u) = -9*u**2 - u - 1. Let l be ((-6)/12 - 0)*2*1. What is j(l)?
-9
Suppose 6*c = 3*c - d - 19, 5*d + 18 = -4*c. Let z(t) = 2*t + 17. Give z(c).
3
Let g(s) = -2*s**2 - 26. Suppose 0 = -10*j - 2*j. What is g(j)?
-26
Let r(c) be the third derivative of c**6/120 + c**5/10 + c**4/24 - c**3/6 + 3*c**2 - 38*c. What is r(-6)?
-7
Let l(d) = -3*d**2 + 61*d + 39. Let p be l(21). Let a(r) = -r**3 - 2*r**2 + 5*r + 3. Give a(p).
-3
Suppose -2*s + 6 = -0*s. Suppose -3*i + 0*i + s = 0. Suppose -b = i + 1. Let f(n) = -3*n. Calculate f(b).
6
Let s(d) = 0 - 5*d**2 + 3 + 7*d + d**3 - 3 + 6 + 12*d**2. Determine s(-6).
0
Let y(k) = 3*k - 4. Let x be (2/(-4))/((-6)/(-12)). Let l be (-10)/(-3) - x/(-3). Suppose 0 = 3*n - 4*n - 1, -2*z = -l*n - 9. What is y(z)?
5
Let w(j) = 5*j**3 + 11*j**2 - 3*j - 10. Let t(l) = -6*l**3 - 12*l**2 + 3*l + 11. Let u(h) = -6*t(h) - 7*w(h). Determine u(4).
0
Let g(b) = 3*b - 4. Let f be (-10)/4*(93/(-15) - -3). Give g(f).
20
Let r = 641 - 633. Let p(j) = 5*j - 8. Calculate p(r).
32
Let o(n) be the third derivative of -n**5/30 + 5*n**4/24 - n**3/2 + n**2 + 26*n. Calculate o(4).
-15
Let h(u) = 5*u. Let i = -25 - -24. Let j(d) = d + 3. Let s be j(i). Calculate h(s).
10
Suppose -2*w + 7*w + 30 = 0. Let z = -78 + 9. Let d be z/12 - w/8. Let y(u) = 3*u + 5. Determine y(d).
-10
Let o(h) = h**2 + 7*h - 4. Let j(v) = -7*v**2 + 2*v - 1. Suppose 0 = -4*p - 4, -n + 6*p - p = -6. Let t be n/(2*(-2)/(-4)). Let q be j(t). What is o(q)?
-10
Let u(a) be the first derivative of 2*a**3/3 - 3*a**2/2 - 11*a + 11. Let l(n) be the first derivative of u(n). What is l(4)?
13
Let t = -28 - -33. Suppose t*m - 8 = -23. Let o(s) = -s**2 + 4*s + 4. Determine o(m).
-17
Let z(a) be the first derivative of -a**4/4 - 2*a**3 - 2*a**2 + 4*a - 352. Determine z(-4).
-12
Let y be (-16)/40*-1*(-2 - -7). Let q(z) = 2*z**3 - z**2 + 3*z - 1. Calculate q(y).
17
Suppose 4 - 67 = 7*t. Let b = 3 - -6. Let i = b + t. Let d(n) = -n - 11. Determine d(i).
-11
Let g(j) = -2*j - 15. Let d(v) = -5*v - 36. Let z(t) = 6*d(t) - 14*g(t). What is z(5)?
-16
Let b(j) = 33*j - 4 + 20*j - j**2 - 64*j + 11*j. Give b(-4).
-20
Let b(a) = -5*a**2 - 2*a. Let t(k) = 3*k + 6*k**2 - 6 + 0 + 4 + 3. Suppose -3*q + 7 - 19 = 0. Let g(z) = q*t(z) - 5*b(z). Give g(4).
4
Let o(c) = c**2 + 9*c + 3. Let d = -223 - -219. What is o(d)?
-17
Let w(y) be the first derivative of -1/2*y**2 - 20 + 6*y. What is w(-6)?
12
Let r(m) = 8*m - 10. Suppose 17*o = -394 + 428. What is r(o)?
6
Let q = -61 - -65. Suppose 1 = m - q. Let n(o) be the third derivative of -o**6/120 + o**5/10 - 7*o**4/24 + 5*o**3/6 + o**2. What is n(m)?
-5
Let x = 9 + -22. Let b(d) = -22*d**3 - 15*d**2 - 2*d + 2. Let m(l) = 11*l**3 + 7*l**2 + l - 1. Let y(w) = x*m(w) - 6*b(w). Calculate y(1).
-12
Let x(l) = 12*l**3 - 20*l**2 + 12*l + 1. Let n(v) = -7*v**3 + 11*v**2 - 7*v - 1. Let u(p) = -5*n(p) - 3*x(p). Calculate u(5).
-3
Let u(b) = b**2 + 2*b + 1. Let y = -231 + 230. Determine u(y).
0
Let x be (10 + 9/(-3))*2. Let l(r) = 0*r - 7 - 6 + x + 4*r. Calculate l(3).
13
Let d be (2*9/6)/1. Let i(c) = -3*c**3 + 2*c**2 - 2*c - 1. What is i(d)?
-70
Let u(m) = 11*m**2 - m + 1. Let r be (-6)/2 - (0 + -8) - 4. Determine u(r).
11
Let g(k) = 2*k - 2. Let f(a) = 3*a - 2. Let n(v) = -4*f(v) + 3*g(v). Suppose -3*c = 3 - 21. Suppose -4*x - 2 = -i - 5*x, 0 = -3*i + 5*x + c. What is n(i)?
-10
Let f(t) = -t - 3. Let k be f(-4). Suppose 0 = -n - 3*r - 5, 0 = -n - r - 4 + 3. Let v(u) = -u + n - 4*u + 6*u + 10*u**2 - 3*u. Determine v(k).
9
Let o(i) = -24*i - 9. Let r(p) = -34*p - 13. Let q(t) = -7*o(t) + 5*r(t). Let f = 2 + 0. Suppose 4*w = 4*y, 3*w + f*y + 6 = 8*w. What is q(w)?
-6
Let n(v) = -5*v**2 - 3*v + 1. Let w(h) = 7*h**2 + 4*h - 1. Let c(r) = -4*n(r) - 3*w(r). Determine c(0).
-1
Let d(q) be the first derivative of q**6/360 + q**5/30 - q**4/6 - 17*q**3/3 - 35. Let a(u) be the third derivative of d(u). What is a(-5)?
1
Let j(h) = -h**2 - 22*h + 360. Let s be j(11). Let g(k) = -6*k**2 - 4*k - 3. What is g(s)?
-45
Let z(v) = 3*v**3 - 15 + 0*v**2 - 4*v**3 - 7*v + 4*v**2 - 4*v**2 - 7*v**2. Determine z(-6).
-9
Suppose 5*p - 6 = 4*k, 5*p - 2*k = 8 - 0. Let n(f) be the first derivative of -f + p - 8/3*f**3 + 1/2*f**2. Determine n(1).
-8
Let a(j) = 0*j - 1 - 2*j + j + 2*j. Let q(k) = 1. Let f(y) = -a(y) - 2*q(y). What is f(0)?
-1
Let r(n) = -4*n**3 + n. Let b(f) be the second derivative of f**3/6 - f**2 - 9*f. Let o be b(3). What is r(o)?
-3
Let u(b) = b. Let y(x) = -5*x - 14. Suppose -3*o + 1 = -5. Suppose 0 = o*k - 5 - 3. Let p(a) = k*u(a) + y(a). Give p(0).
-14
Let t(u) = 4*u**3 + 10*u**2 + u - 5. Let b(w) = -w**3 - w**2 + w + 1. Let s = -138 - -133. Suppose -i = -4 + 5. Let h(o) = i*t(o) + s*b(o). Calculate h(6).
0
Suppose 0*o + 12 = -2*o. Let s be 9/(-6) + 21/o. Let k(r) = r + 1. Let c(z) = 5*z + 13. Let i(n) = -c(n) + 4*k(n). Give i(s).
-4
Suppose 2*i - 2*v - 32 = 0, 2*v + 27 = i + 9. Let s be -2 + 1 + -1 + 4. Let m(l) = s*l - i + 2*l + l**2 + 10 - 3*l - l**3. Calculate m(0).
-4
Let z(m) = m + 9. Let o(n) = 6*n**3 - n**2 + 2. Let p be o(-2). Let k = p - -44. Give z(k).
3
Let k(b) be the third derivative of b**6/720 - b**5/20 + 2*b**4/3 + 23*b**2. Let z(v) be the second derivative of k(v). Calculate z(6).
0
Let s(k) = k**3 + 4*k**2 - 2*k - 4. Let d be s(-3). Let w(i) = 14*i - 75*i**2 - 75*i**2 + 149*i**2 - 3*i - 3. Give w(d).
-3
Let v(p) = 5*p**2 - 2*p - 2. Let m(f) = 9*f**2 - 3*f - 5. Let q(g) = 4*m(g) - 7*v(g). Determine q(4).
18
Let z = -23 + 25. Let r(k) = -5*k - 11*k**2 + 4*k**z + 14*k - 8 + k**3. Calculate r(6).
10
Let f(h) = h**3 + 1. Let t(a) = -a**2 + a + 1. Let z be t(3). Let i = 3 + z. Calculate f(i).
-7
Let m(t) be the third derivative of t**5/60 - t**4/6 + t**3/3 + 37*t**2. What is m(5)?
7
Suppose 110 = -7*o + 12*o. Suppose -3*r - 7 = 2*t, 4*r - 5*t + o + 18 = 0. Let p(z) = -z**3 - 4*z**2 + 5*z - 4. Calculate p(r).
-4
Let o(u) be the first derivative of -u**2/2 + 2*u - 83. Let p be 3/(-2)*8/(-2). What is o(p)?
-4
Let m(h) = 14*h - h + h**2 - 5*h - 1. Determine m(-8).
-1
Let z(r) be the third derivative of r**4/12 - 2*r**3/3 - r**2. Let d(s) = s**3 + 29*s**2 - 3*s - 81. Let a be d(-29). What is z(a)?
8
Suppose 5*s = -m + 3*m - 36, -5*s + 12 = 4*m. Let w(i) = -4*i + 9. Give w(m).
-23
Suppose 4*f + 10 = 34. Let b(p) = p + 975*p**2 - p**3 - 975*p**2 + f. Calculate b(0).
6
Let m(k) = 4*k - 2. Let v(b) = 4 - 5 - b + 3 + 15. Let i be v(10). Suppose 3*c - 2*c = 5*g - 13, -3*g = -c - i. What is m(g)?
10
Suppose -3*w - 2*w - q = -13, w - 4*q - 11 = 0. Let i(t) be the second derivative of t**4/12 - t**3/3 + 16*t. Give i(w).
3
Suppose 5*i - 71 = 2*w, -3*i + 31 = 4*w + 4. Let c = i + -8. Suppose q - 4*q + 12 = c*v, -2*v = 4*q - 2. Let d(p) = 8*p**3 - p**2. Determine d(q).
-9
Let l(s) = -13*s + 2579*s**3 - 14*s**2 - 12 - 2580*s**3 + 20. Determine l(-13).
8
Let x(n) = -7*n + 4. Let h(d) = 8*d - 6. Let y(v) = v. Let a(w) = -h(w) - 3*y(w). Suppose -3*o + o = 10. Let z(t) = o*a(t) + 8*x(t). Calculate z(-5).
7
Let c(l) = l**2 - l - 7. Suppose -f - x = 0, -1 = 2*f + x + 1. Let s(k) = k**3 - 3. Let p be s(0). Let b be (f - -2)*p/(-6). Calculate c(b).
-7
Let m(f) = 14*f - 355. Let p be m(27). Let w(k) = -k**2 + 24*k - 17. What is w(p)?
6
Let l(w) = -3*w + 7. Suppose -38 + 38 = -54*b. Give l(b).
7
Let a(s) = -12*s**2 - 5*s**2 + 7*s + 30*s**2 - s**3 - 9*s**2 + 7 - 10*s**2. Let t = -24 - -17. Calculate a(t).
7
Let k(s) be the second derivative of 0*s**2 + 0 + 14*s - 5/12*s**4 + 0*s**3. Give k(1).
-5
Let i = 60 - 55. Let j be i*(3 - 2) - (-2 - -4). Let d(s) be the third derivative of s**6/120 - s**5/15 + s**4/12 - s**3/6 - s**2. Give d(j).
-4
Let k(z) be the third derivative of 0 - 1/24*z**4 + 4/3*z**3 + 43*z**2 + 0*z. What is k(5)?
3
Let s(r) be the first derivative of r**3 + 3*r**2/2 + r - 118. Let b(z) = z**3 + 4*z**2 + 2*z. Let n be b(-3). Let y = 1 - n. Give s(y).
7
Let q be (-2 - -2 - -7)*3. Let p = -18 + q. Let t(o) = -5*o - 2 + p*o - 4*o + 9*o. What is t(3)?
7
Let l = 45 - 39. Let z be (-1)/(2/l
|
{
"pile_set_name": "DM Mathematics"
}
|
t -5, 3947, -3.
-5, -3, 3947
Sort 161, 115, -1/8, 3.
-1/8, 3, 115, 161
Sort 0, -2, -3822 in decreasing order.
0, -2, -3822
Sort -2/5, -889, 2/11, 2/19, -5 in increasing order.
-889, -5, -2/5, 2/19, 2/11
Sort -0.4, 1, 130.2 in ascending order.
-0.4, 1, 130.2
Put 0.5, 266, 1/3, -2 in decreasing order.
266, 0.5, 1/3, -2
Put -93, 4, -30, -1 in descending order.
4, -1, -30, -93
Put -2/5, -6/7, -1783, 4, -3, 1 in descending order.
4, 1, -2/5, -6/7, -3, -1783
Sort 4, 5725, 0 in ascending order.
0, 4, 5725
Put 67, 34, -4, 1/4 in decreasing order.
67, 34, 1/4, -4
Put 73, -102, -2 in increasing order.
-102, -2, 73
Sort -82, 3, -356.
-356, -82, 3
Sort 0, 2, 1937, -13 in decreasing order.
1937, 2, 0, -13
Sort 5, -3/4, -5.9, 1/4, -5 in decreasing order.
5, 1/4, -3/4, -5, -5.9
Sort 0, 1096/3, -3.
-3, 0, 1096/3
Put -52, 10, 3, -5, -12, 6 in decreasing order.
10, 6, 3, -5, -12, -52
Sort 2193, 3, 2 in ascending order.
2, 3, 2193
Put -3, 6915, 10 in increasing order.
-3, 10, 6915
Sort 87.49, -7, 3/5.
-7, 3/5, 87.49
Sort 4, -2, -37, -6, 0, 5 in ascending order.
-37, -6, -2, 0, 4, 5
Sort 1, 123, 8, -1, -4.
-4, -1, 1, 8, 123
Sort 0, 3/5, 0.06, -296 in descending order.
3/5, 0.06, 0, -296
Put -1, 14, -37, -4, 28, 1 in ascending order.
-37, -4, -1, 1, 14, 28
Sort -0.1, 3/4, -3.3, 0.2, -6 in decreasing order.
3/4, 0.2, -0.1, -3.3, -6
Sort 0, -4, -5, -2, 106 in descending order.
106, 0, -2, -4, -5
Sort 640.5, -5, -0.5, -0.3, -4, 0.1 in decreasing order.
640.5, 0.1, -0.3, -0.5, -4, -5
Put -5, -3, -4, 59, 5 in ascending order.
-5, -4, -3, 5, 59
Sort 13, 21, -4, -3 in descending order.
21, 13, -3, -4
Sort 0, 5, -3, -142, 4, -78 in ascending order.
-142, -78, -3, 0, 4, 5
Put -3, 0, 198, 4 in decreasing order.
198, 4, 0, -3
Sort -0.4785, 0.4, 0.5 in ascending order.
-0.4785, 0.4, 0.5
Put -2, -15, -1, -2245, -5 in decreasing order.
-1, -2, -5, -15, -2245
Sort 2, -2, 4, 292, -1, -3 in decreasing order.
292, 4, 2, -1, -2, -3
Sort -38, 36, 3, 0.
-38, 0, 3, 36
Sort 0.1, -12, 13/155, -4, -1/3.
-12, -4, -1/3, 13/155, 0.1
Put 1.9, -2.27, 0.4, 1.5 in increasing order.
-2.27, 0.4, 1.5, 1.9
Sort -41, 0.3, -3, 0.047.
-41, -3, 0.047, 0.3
Put -133, -1, -97, -7 in increasing order.
-133, -97, -7, -1
Put -2, 3, -4, -131/4, 1/5 in ascending order.
-131/4, -4, -2, 1/5, 3
Sort 4, 0, 9, -2, 1, 3434 in descending order.
3434, 9, 4, 1, 0, -2
Sort -2, 4, -716 in decreasing order.
4, -2, -716
Put 3, -1, 73, 6, -9 in decreasing order.
73, 6, 3, -1, -9
Sort 1, 3, -22, 2, 1985, -1 in decreasing order.
1985, 3, 2, 1, -1, -22
Put 9, 4, 5, 1002 in increasing order.
4, 5, 9, 1002
Put -1066385, 2, -2 in descending order.
2, -2, -1066385
Sort 106, -0.2, 1/5, 0 in increasing order.
-0.2, 0, 1/5, 106
Put 3, 226, -2033, 4 in descending order.
226, 4, 3, -2033
Put 290, 4, -2/5 in descending order.
290, 4, -2/5
Put 3, 105, -214, -1 in decreasing order.
105, 3, -1, -214
Sort -2, 3, -3, 4, -5, -620 in decreasing order.
4, 3, -2, -3, -5, -620
Sort -3, 13, -9, 3, 5, 6 in descending order.
13, 6, 5, 3, -3, -9
Sort -11468, 20, 3 in descending order.
20, 3, -11468
Sort 15/7, -2/16119, 2 in decreasing order.
15/7, 2, -2/16119
Sort 3, 0, -450, 52 in descending order.
52, 3, 0, -450
Sort 3, 10, 0, -6, -26 in descending order.
10, 3, 0, -6, -26
Sort -1/5, 470, -47 in decreasing order.
470, -1/5, -47
Sort -177, -2/15, 2.28 in ascending order.
-177, -2/15, 2.28
Sort -31/4, 1/65, -2/7, -1/4 in increasing order.
-31/4, -2/7, -1/4, 1/65
Put 3, -4, 2/47, 0.1, -5/4, -17 in ascending order.
-17, -4, -5/4, 2/47, 0.1, 3
Sort -3, 11, -4, 23 in increasing order.
-4, -3, 11, 23
Put 2, -387, -21, -3, 1, -1 in ascending order.
-387, -21, -3, -1, 1, 2
Sort 2, 0, 4, 167, -23 in increasing order.
-23, 0, 2, 4, 167
Sort -57, -3, 0, -17, -18.
-57, -18, -17, -3, 0
Sort -7, 12, 0, 43, 6, 3 in increasing order.
-7, 0, 3, 6, 12, 43
Sort -21/50440, -2, 5 in descending order.
5, -21/50440, -2
Sort 0.1, 1/9, 1387, 5, -0.2 in descending order.
1387, 5, 1/9, 0.1, -0.2
Sort 9, 2, 312.
2, 9, 312
Put 0.2, 55, 3/4, -17 in decreasing order.
55, 3/4, 0.2, -17
Put 1, 0, -14, -4, 5 in descending order.
5, 1, 0, -4, -14
Sort 33, -886, 1/4, -3.
-886, -3, 1/4, 33
Put 0.2, -22/9, 4, 3/4, 187 in decreasing order.
187, 4, 3/4, 0.2, -22/9
Sort 1, -33, -3, -4, -12, -1 in ascending order.
-33, -12, -4, -3, -1, 1
Sort 1, 2, 15299, 4 in decreasing order.
15299, 4, 2, 1
Put 3, 4, 80, -154 in descending order.
80, 4, 3, -154
Put -6, 0.3, 22, 9/8 in decreasing order.
22, 9/8, 0.3, -6
Put -1494, -3, -137, 3 in decreasing order.
3, -3, -137, -1494
Put -1/4, -76241, -2/21, 4/3 in decreasing order.
4/3, -2/21, -1/4, -76241
Put -5, -328611, 5 in increasing order.
-328611, -5, 5
Sort -0.3, 7/15, -248 in descending order.
7/15, -0.3, -248
Sort -46, -7, -1 in decreasing order.
-1, -7, -46
Sort 89/72, 0.2, -0.1 in descending order.
89/72, 0.2, -0.1
Put -1, 598.3, -5, 0.2, 15 in increasing order.
-5, -1, 0.2, 15, 598.3
Put 1, -3, 590, 0, -4 in increasing order.
-4, -3, 0, 1, 590
Put -6, 389, -11, 4 in descending order.
389, 4, -6, -11
Put -5, 0.2, -1332 in descending order.
0.2, -5, -1332
Sort 327, 3, 4, -6, 1 in descending order.
327, 4, 3, 1, -6
Sort 3/2, -9.1, -0.5, 0, -2/7, -53 in descending order.
3/2, 0, -2/7, -0.5, -9.1, -53
Sort -3, -6, -7452 in increasing order.
-7452, -6, -3
Sort -337, -1, -3, 1/8, -46 in descending order.
1/8, -1, -3, -46, -337
Sort -51, -5, -3, 26, -0.12 in descending order.
26, -0.12, -3, -5, -51
Put -4, 3, -335 in decreasing order.
3, -4, -335
Sort 5, -5, 1, 4, 9 in ascending order.
-5, 1, 4, 5, 9
Sort -743/3, 46, -0.5 in ascending order.
-743/3, -0.5, 46
Sort 3, -41, 1, -17, -1, 24.
-41, -17, -1, 1, 3, 24
Sort 306, -2/13, 0.3, 3/4 in increasing order.
-2/13, 0.3, 3/4, 306
Put -2774, 4, -5 in decreasing order.
4, -5, -2774
Sort -3/7, -14/5, 1, -2, 9, -0.2 in ascending order.
-14/5, -2, -3/7, -0.2, 1, 9
Sort -4, 11, -10, 107, 3 in decreasing order.
107, 11, 3, -4, -10
Sort -5, -2, -1, 24, -3, 1 in ascending order.
-5, -3, -2, -1, 1, 24
Put -2, -5, 16, 0.2, -1/5 in increasing order.
-5, -2, -1/5, 0.2, 16
Put -14, 3750, 0.3, -4 in descending order.
3750, 0.3, -4, -14
Put 1/4, 207, -50, -3 in descending order.
207, 1/4, -3, -50
Sort 0.4, 2, -1, 3, -5/3.
-5/3, -1, 0.4, 2, 3
Put 33, 10, -620, 1 in ascending order.
-620, 1, 10, 33
Put -4, -5, 4, 1, -19, -869 in descending order.
4, 1, -4, -5, -19, -869
Sort 126, 5, 3, -2, 28, -5 in descending order.
126, 28, 5, 3, -2, -5
Sort 30, 0, 22778.
0, 30, 22778
Put 47, -4, -3 in increasing order.
-4, -3, 47
Put -4, 0.3, -73, -931 in increasing order.
-931, -73, -4, 0.3
Sort 25, 5, 59, -3 in decreasing order.
59, 25, 5, -3
Put -5, 5, -2, -25, 0, -4 in decreasing order.
5, 0, -2, -4, -5, -25
Put -0.023, 2/9, 1/8, -7, 1 in descending order.
1, 2/9, 1/8, -0.023, -7
Sort -4, -204, 2, 20, 1 in increasing order.
-204, -4, 1, 2, 20
Put -261, 15, 0, -3, -2, 2 in ascending order.
-261, -3, -2, 0, 2, 15
Sort 1/4, 53, -2/11, -5, -32.
-32, -5, -2/11, 1/4, 53
Put 0, 3, 19626 in decreasing order.
19626, 3, 0
Sort 143, 2/5, -4, 5, -2/9, -1 in increasing order.
-4, -1, -2/9, 2/5, 5, 143
Sort 555, -3, -674.
-674, -3, 555
Put -17336, 1/5, 5 in decreasing order.
5, 1/5, -17336
Put 1, 90994, -3 in ascending order.
-3, 1, 90994
Put -5, 1496, -4, -2 in ascending order.
-5, -4, -2, 1496
Put -13, -1, 243, -139 in descending order.
243, -1, -13, -139
Sort 28788, -1, 3/4, 3/2 in increasing order.
-1, 3/4, 3/2, 28788
Sort -1/2, 0.2, 5, 3/7, -17.03 in decreasing order.
5, 3/7, 0.2, -1/2, -17.03
Put 0, 48, -4, 0.1, -309 in increasing order.
-309, -4, 0, 0.1, 48
Put 1.4, 14, -0.01, 1 in decreasing order.
14, 1.4, 1, -0.01
Sort 13, -13, 0, -48 in descending order.
13, 0, -13, -48
Put 5, 54, -4 in increasing order.
-4, 5, 54
Sort 15, -1, -6, 1, -3, 46 in increasing order.
-6, -3, -1, 1, 15, 46
Put -5, -240, -542 in descending order.
-5, -240, -542
Sort -1, -5, 187, -102.
-102, -5, -1, 187
Sort 139, -3, -54, -4, 4 in ascending order.
-54, -4, -3, 4, 139
Put -2, 2, -10, 5, -114 in increasing order.
-114, -10, -2, 2, 5
Sort -1, 5, 2, 4, -13, -2 in increasing order.
-13, -2, -1, 2, 4, 5
Sort 0.8, 19.79, -1.
-1, 0.8, 19.79
Sort -518, 5, -1, -4 in decreasing order.
5, -1, -4, -518
Sort -19, 0.3, 1/81, -0.3, -0.4, 0 in descending order.
0.3, 1/81, 0,
|
{
"pile_set_name": "DM Mathematics"
}
|
b)).
b**2
Let c(l) = 5*l**2. Let p(a) be the first derivative of -1/2*a**2 + 7 + 0*a**3 + 1/12*a**4 + 0*a. Let x(d) be the second derivative of p(d). Calculate c(x(j)).
20*j**2
Let c(z) = 2*z. Let u(v) = 4223*v - 2111*v + 37 - 2111*v. What is u(c(o))?
2*o + 37
Let d(m) = -7*m. Let b(q) = -3*q. Let a(f) = 5*b(f) - 2*d(f). Let k(x) = -4*x**2 + 4*x. Let i(j) = 4*a(j) + k(j). Let t(r) = -9*r**2. Calculate t(i(y)).
-144*y**4
Let v(r) be the second derivative of -19*r**4/6 - 10*r. Let c(b) = -2*b**2. Give c(v(i)).
-2888*i**4
Let q(r) = -66*r + 68*r - 3 + 3. Let b(x) = 10*x + 4. What is q(b(o))?
20*o + 8
Let t(n) = -4*n**2. Let q(x) = -26*x**2 - 2 + 17*x**2 - 2 + 4. Give q(t(h)).
-144*h**4
Let p(s) = 3*s - 6032. Let c(v) = 3*v**2. Give p(c(w)).
9*w**2 - 6032
Let q(z) = 538*z**2. Let l(u) = 262*u. Determine l(q(x)).
140956*x**2
Let g(m) = -6*m. Let l(t) be the second derivative of -t**6/720 - 7*t**4/12 - 18*t. Let w(z) be the third derivative of l(z). What is w(g(h))?
6*h
Let y(s) = 133793*s. Let m(r) = 5*r. Calculate y(m(p)).
668965*p
Let r(x) = -1578*x. Let s(j) be the first derivative of j**2 + 535. Give s(r(m)).
-3156*m
Let t(g) = 17*g + 8. Let x(h) = 21*h + 10. Let i(q) = -5*t(q) + 4*x(q). Let w(l) be the third derivative of l**5/20 + 2*l**2. Calculate i(w(f)).
-3*f**2
Let q(j) = -4*j**2. Let l(h) = 213936*h**2. What is q(l(s))?
-183074448384*s**4
Let v = -75 + 81. Let i(o) = 10*o. Let y(k) = 5*k. Let x(w) = v*i(w) - 13*y(w). Let t(b) = -2*b. Determine t(x(j)).
10*j
Let p(i) = 812923*i. Let o(m) = -2*m**2. What is o(p(k))?
-1321687607858*k**2
Let k(s) = 5*s. Let w(l) = 3*l**2 + 182*l + 2. Determine w(k(x)).
75*x**2 + 910*x + 2
Let h(q) = -2*q**2 + 24. Let s(z) = 2*z**2 - 20. Let v(b) = 5*h(b) + 6*s(b). Let t(o) = -10*o**2 + o. Determine t(v(f)).
-40*f**4 + 2*f**2
Let k(i) be the first derivative of -i**2 - 11. Let j(v) = 5*v. Let l(d) = 2*d. Let g(c) = 4*j(c) - 11*l(c). Give g(k(z)).
4*z
Let n(q) = 8*q + 2. Let g(y) be the first derivative of y**3/3 - 114. Calculate n(g(x)).
8*x**2 + 2
Let q(a) = -2*a + 132. Let m(k) = 0*k - 17*k + 7*k + 6*k. Determine q(m(h)).
8*h + 132
Let g(j) = 81*j**2. Let v(b) = -1563*b**2. What is g(v(r))?
197880489*r**4
Let b(i) = i**2. Let r(n) be the third derivative of -11*n**4/3 + 314*n**2. Determine r(b(h)).
-88*h**2
Let b(q) = 10*q. Let g(a) = -21*a. Let k(n) = 7*b(n) + 3*g(n). Let c(u) = -27*u**2 + 2. Give k(c(j)).
-189*j**2 + 14
Let a(j) = -5*j**2 - 10*j**2 + 3*j**2 + 21*j**2 + 20*j**2. Let y(g) = 4*g. What is a(y(u))?
464*u**2
Let y(b) = -2*b - 45. Let m(g) be the third derivative of g**5/30 - 131*g**2. Determine y(m(p)).
-4*p**2 - 45
Let v(g) = g**3 - 5*g**2 + g - 5. Let q be v(5). Let p(d) = 0*d**2 - 3*d**2 + 0*d**2 + q*d**2. Let i(h) = -2*h**2. Give p(i(u)).
-12*u**4
Let f(p) be the second derivative of 7*p**4/4 - 2*p**2 + 2*p + 33. Let k(d) = d. Calculate k(f(i)).
21*i**2 - 4
Let p be (-5)/(-3)*(-18)/(-15). Let q(a) = 115*a + 0*a**p - 2*a**2 - 115*a. Let l(o) = 81*o. Determine l(q(x)).
-162*x**2
Let c(j) = 2*j**2 + 4. Let m(p) = -p**2 - 3. Let d(y) = -3*c(y) - 4*m(y). Let u(t) be the third derivative of t**5/10 - t**4/6 - 8*t**2 + 2*t. What is u(d(a))?
24*a**4 + 8*a**2
Let v(g) be the second derivative of 0*g**3 + 0*g**2 + 24*g + 0 - 1/6*g**4. Let j(q) = -29*q**2. Determine v(j(m)).
-1682*m**4
Let b(s) = 464*s**2. Let o(x) = 273*x**2. Calculate b(o(p)).
34581456*p**4
Let a(m) = 17*m + 264. Let j(r) = 6*r + 96. Let z(u) = 4*a(u) - 11*j(u). Let d(i) be the third derivative of -11*i**4/12 + i**2. Give d(z(p)).
-44*p
Let t(k) = 8*k - 3. Let d(m) = 3605*m. Give d(t(y)).
28840*y - 10815
Let z be (-1 - -3)/((-2)/(-1)). Suppose 5*m - 25 = -5*a, 5*a + 6 = 5*m + z. Let c(i) = 3*i - 2 + a - 13*i. Let f(x) = 2*x**2. Give f(c(u)).
200*u**2
Let t(g) be the second derivative of 0 - 1/3*g**3 + 0*g**2 - 13*g. Let p(k) = 5*k. What is p(t(c))?
-10*c
Let d = 2/151 + 145/453. Let s(q) be the second derivative of -d*q**3 + 0 + 0*q**2 + 2*q. Let f(c) = -3*c. Give f(s(p)).
6*p
Let b(q) = -1217*q**2. Let s(z) = -75*z - 5. Calculate s(b(o)).
91275*o**2 - 5
Suppose 2*f - 5*q = 4*f - 24, -2*f - 4 = -2*q. Let s(m) = -5*m + f*m - m. Let a(c) = c + 1. Let r(j) = 2*j + 1. Let w(l) = -3*a(l) + 3*r(l). Give w(s(z)).
-12*z
Let b(d) = 131*d**2 - d - 64*d**2 - 66*d**2. Let o(f) = f**2 - 2*f. Let q(g) = -2*b(g) + o(g). Let u(w) = 17*w. Determine q(u(t)).
-289*t**2
Let z(j) = 3*j. Let c(g) = g**2 + 13*g + 3. Let a be c(-13). Let i(f) = f**2 + 1. Let q(s) = 6*s**2 + 3. Let b(t) = a*i(t) - q(t). Give b(z(x)).
-27*x**2
Let p(j) = 6*j. Let o(k) = 57983*k. Give p(o(a)).
347898*a
Let d(i) = 5*i. Let t(b) be the third derivative of b**6/90 - 5*b**3/6 - 10*b**2. Let o(z) be the first derivative of t(z). What is d(o(l))?
20*l**2
Let m(o) = -2*o. Let w(j) = -6*j**2 + 3. Let u be ((-3)/(-7) - 213/(-42))*-2. Let d(n) = 18*n**2 - 8. Let c(z) = u*w(z) - 4*d(z). Calculate c(m(k)).
-24*k**2 - 1
Let h be -4*4/(-4)*1/2. Let l(s) = s - h*s - 3*s - s. Let i(k) = 4*k + 0*k - 3*k. What is i(l(u))?
-5*u
Let q(i) = 2*i. Let b(a) = 8*a**2 + 16*a - 9*a - 29*a**2 - 10*a. Let x(o) = 43*o**2 + 7*o. Let m(z) = -9*b(z) - 4*x(z). What is q(m(c))?
34*c**2 - 2*c
Let c(z) = z. Let t(g) be the third derivative of -g**8/4032 + g**6/720 + 23*g**5/60 + 10*g**2. Let r(w) be the third derivative of t(w). What is r(c(v))?
-5*v**2 + 1
Let w be 3*(-1 + 2 + 0). Let k(h) = -4*h**2 - 3. Let d(n) = 3*n**2 + 2. Let t(i) = w*d(i) + 2*k(i). Let u(y) = -12*y**2. Determine u(t(m)).
-12*m**4
Let d(l) be the first derivative of -l**2 - 3. Let n(s) be the first derivative of 5*s**2/2 + 115. Determine n(d(p)).
-10*p
Let a(o) = 9*o. Let c(f) = -94*f**2 - 104*f**2 + 184*f**2. Determine a(c(i)).
-126*i**2
Let u(x) = -76*x**2. Let f(t) = 588*t. Determine f(u(p)).
-44688*p**2
Let v(f) = -3*f**2. Let c(x) = -2*x**2. Let s(k) = 5*c(k) - 3*v(k). Let h(g) = -5*g**2 + 6*g**2 + 8*g**2 + 6*g**2. Determine h(s(y)).
15*y**4
Let c(h) = -2*h**2 - 10*h - 5. Let l(j) = -j**2 - 6*j - 3. Let x(a) = -3*c(a) + 5*l(a). Let d(m) = 0*m**2 + 0*m**2 - 10*m**2. Calculate x(d(r)).
100*r**4
Let j(y) be the second derivative of 7*y**3/6 - y. Let b(g) = -81 - 100 + 181 - g**2. Give b(j(l)).
-49*l**2
Let f(n) = 2*n + 24. Let k(g) = -8. Let l(p) = -f(p) - 3*k(p). Let i(u) = -6*u + 39. Calculate i(l(h)).
12*h + 39
Let y = -85 - -84. Let c(x) = x**2 + 2. Let p(g) = -g**2 - 1. Let a(k) = y*c(k) - 2*p(k). Let s(o) = 11*o**2. Calculate s(a(z)).
11*z**4
Let f(h) be the second derivative of 0*h**3 + 0 + 1/6*h**4 + 0*h**2 + 12*h. Let i(d) = 16*d. Give i(f(c)).
32*c**2
Let n(g) = 63*g**2. Let v(r) = -5832*r. Give n(v(p)).
2142770112*p**2
Let x(s) be the third derivative of -s**6/360 - 5*s**3/3 - 20*s**2. Let b(y) be the first derivative of x(y). Let m(g) = 3*g**2. Give b(m(d)).
-9*d**4
Let a(s) = 1 - 76*s**2 - 158*s**2 - 1. Let y(k) = k. Calculate y(a(l)).
-234*l**2
Let w(z) = 0*z - 1 + 4 - 2 - z. Let p(i) = 10*i**2 - 40*i + 40. Let v(a) = p(a) - 40*w(a). Let x(n) = -3*n**2. Give v(x(s)).
90*s**4
Let j(x) = 146561*x**2 - 3842*x. Let u(b) = -229*b**2 + 6*b. Let y(g) = -6*j(g) - 3842*u(g). Let d(m) = -2*m. Calculate d(y(p)).
-904*p**2
Let f(t) = -12*t - 1. Let d(g) = 61*g**2. Calculate f(d(j)).
-732*j**2 - 1
Let q(s) = -s. Let m(a) = 890*a - 188. Give q(m(r)).
-890*r + 188
Let f(d) = -24*d**2. Let w(t) be the third derivative of t**8/10080 - 2*t**5/15 + t**2. Let x(h) be the third derivative of w(h). What is x(f(l))?
1152*l**4
Let t(b) be the third derivative of -11*b**4/12 + 90*b**2. Let f(n) = -13*n**2. Determine f(t(a)).
-6292*a**2
Let p(x) = 3*x. Let m(k) = 27*k**2 + 3*k**2 - 35*k**2. What is p(m(v))?
-15*v**2
Let x(a) = -a. Let w(c) be the first derivative of -8*c**3/3 - 5*c**2/2 - 250. Determine x(w(p)).
8*p**2 + 5*p
Let c(s) = 403*s**2 - 18*s. Let d(w) = 806*w**2 - 39*w. Let u(i) = -13*c(i) + 6*d(i). Let j(k) = 2*k**2. What is u(j(g))?
-1612*g**4
Let k(r) = 2*r**2. Let z be (980/(-21))/10*(0 - 3). Let m(n) = -12*n**2 - z*n**2 + 27*n**2. What is k(m(t))?
2*t**4
Let m(p) = 18*p - 11. Let j(l) = 5*l - 3. Let o(r) = -22*j(r) + 6*m(r). Let b(d) = -111*d. Determine o(b(t)).
222*t
Let m(q) = q - 51 + 25 + 26. Let p(v) be the third derivative of -2*v**2 + 0 + 0*v**3 + 0*v + 1/24*v**4. What is p(m(j))?
j
Let p(h) = -h**2. Let f(a) = 6*a**2. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*u - 5*s = -15. Suppose i = -3*p + 20, -10 = -u*p + p + 2*i. Determine o(p).
-1
Let z(a) = a**3 + 12*a**2 - 13*a - 2. Let j be z(-13). Let h(w) = w**3 + w**2 - 2*w - 3. What is h(j)?
-3
Let y(m) = m**3 + m**2 - m. Let v(q) = 2*q**3 - 6*q**2 + 6*q - 6. Let p(x) = v(x) - y(x). Let j be 12/4 + (0 - 2). Let l = j - -5. Give p(l).
0
Let r(q) = q - 5. Let v = -45 + 51. Determine r(v).
1
Let n(h) be the first derivative of -h**3/3 + 3*h**2 - 2*h + 7. Let j(y) = -y - 1. Let a be j(-5). Determine n(a).
6
Let w(m) = -m**2 - m. Suppose o + y - 4*y = -3, o - 2*y = -2. Calculate w(o).
0
Let c = -119 + 107. Let b(z) = -z**3 - 13*z**2 - 13*z - 18. Determine b(c).
-6
Let l(s) = -7 - 2 + 1 + 7*s - s**2 + 0. Let t be l(6). Let d(y) = -y**3 - 2*y**2 - 3*y - 3. What is d(t)?
3
Suppose 2 = 4*j + 14. Let v(u) be the third derivative of u**4/24 + u**3/2 + 2*u**2. Calculate v(j).
0
Let v(f) = 2*f + 2. Let s = -14 - -11. What is v(s)?
-4
Let m = -15 + 17. Let n(u) be the first derivative of -1 + 2*u**m + u - 1/3*u**3 - 1/4*u**4. What is n(-3)?
7
Let g(y) be the first derivative of y**6/120 + y**5/60 - y**3/3 - y**2/2 + 1. Let m(x) be the second derivative of g(x). Suppose 3*s - 6 = -0*s. Give m(s).
10
Let s(p) = -p**3 + 7*p**2 + p - 10. Let b = -12 + 19. Let n be s(b). Let w(y) = -6*y - 6. Let r(l) = 7*l + 7. Let x(u) = -5*r(u) - 6*w(u). Calculate x(n).
-2
Let q(a) be the third derivative of a**7/1008 + a**6/720 + a**5/60 + 7*a**2. Let l(h) be the third derivative of q(h). Give l(-1).
-4
Let b(u) = -u - 7. Suppose -4*j + 5*q = -0*j + 12, -5*j - 56 = 4*q. Calculate b(j).
1
Let z = 0 + 2. Let x(l) = 5*l - 3*l + z - l. Calculate x(4).
6
Let u(h) be the third derivative of -h**6/120 + h**5/10 - h**4/4 + 7*h**3/6 - 7*h**2. What is u(5)?
2
Let o = 11 - 7. Let j(u) = -2 + 0*u**3 - o - u**2 - u**3. Calculate j(0).
-6
Suppose -3*w = 3*k - w - 10, -3*k + 14 = 4*w. Suppose 2*c - 3*s - 8 = s, 5*s = 2*c - 9. Let v(o) = 0 - c - k*o + 0*o. Give v(-4).
6
Let k(b) = 3*b**2 - 3*b - 6. Let g(f) = 3 - 4 - 3*f**2 + 4*f**2. Let o(i) = -2*g(i) + k(i). Let j be 6/14 - 18/(-7). Calculate o(j).
-4
Let j(b) = -b**3 + 9*b**2 - 7*b - 6. Let a be j(8). Let n(u) = 9 - a*u + 0*u + 0*u. Suppose 30 = 2*v + 3*v. Calculate n(v).
-3
Let q(o) = o**3 - o**2 + o + 5. Let v be q(0). Let s(j) = -2*j + 8*j + 1 - v*j + 0. Calculate s(-3).
-2
Let i(s) = -2*s - 4. Let t(r) = r**3 - 6*r**2 + 3*r + 5. Let w be t(5). Let h be i(w). Let f(x) = 0 - 1 + 2*x**3 - h*x**3. Calculate f(-1).
3
Let j be (18/(-12))/((-1)/10). Let f be (j - 3)/4 + 2. Let k(t) = -t**2 + 5*t - 4. Calculate k(f).
-4
Let t(k) = -k + 8. Let p = 5 + 2. Give t(p).
1
Let y(o) = -2*o - o + 4*o + 3. Let c be y(-3). Let u = 0 - c. Let p(a) = a. Determine p(u).
0
Suppose 0 = -4*k + 87 + 1. Suppose 3*n - 11 = k. Let v = 6 - n. Let g(c) = -c + 2. Give g(v).
7
Let z be -9*((-8)/3 - -2). Let g(q) = q**2 - 7*q - 4. Give g(z).
-10
Let b(i) be the first derivative of i**2/2 + 2*i - 40. Suppose 4*q - 2*l - 8 - 4 = 0, -2*q + 12 = -4*l. Calculate b(q).
4
Let a(w) be the first derivative of -w**2 - 6*w - 37. Give a(-6).
6
Let x(s) = -20*s**3 + 6*s**2 + 3*s + 20. Let n(h) = 7*h**3 - 2*h**2 - h - 7. Let r(u) = -17*n(u) - 6*x(u). What is r(-2)?
-15
Let z(y) = 10*y**3 - y**2. Suppose 0 = -g + 4 - 1. Let p be -1*(-2 + -1)/g. What is z(p)?
9
Suppose 5*o - 10*o - 5 = 0. Let v(n) = -3*n. Give v(o).
3
Let j be (-3)/1 + -2 - (-1 - -2). Let s(r) = 6 + 10*r - 4*r**2 - r**2 - r**3 - 3*r. Calculate s(j).
0
Let g(y) = y**2 + 4*y + 2. Let i be g(-5). Suppose 0 = i*d - 3*d - 12. Let r(n) = d*n**2 - 2*n + 1 - 4*n**2 + 0*n**2. What is r(-2)?
1
Let t(s) = s**3 + 6*s**2 + 3*s - 3. Suppose z - 19 + 23 = 0. Calculate t(z).
17
Suppose -n - 1 = -13. Let v be 1/4 - (-93)/n. Let z(h) = -3*h**3 - 2*h + 3*h + v*h**3. What is z(-1)?
-6
Let l(m) = -1 - 5*m + 3 + m + 2. Let d(u) = u. Let v(t) = -4*t + 1. Let k(f) = -3*d(f) - v(f). Let i(n) = -5*k(n) - l(n). Determine i(-2).
3
Let j = 16 + -12. Let l(f) = 1 - j*f + f**2 + 4*f. Determine l(1).
2
Let f(v) = -6*v**2 + 8*v**2 + 9 - 10*v**2 - v**3 - 6*v. Give f(-7).
2
Let g(y) be the first derivative of y**4/4 + 5*y**3/3 - 4*y**2 - 6*y - 8. Give g(-6).
6
Let o(d) = -d + 1. Let r(b) = b**2 - 4*b + 2. Suppose -5*p - 5*w = -30, 8*p + 3*w - 22 = 4*p. Let c be r(p). Give o(c).
-1
Let w(p) = p**2 + 3*p + 1. Let s be w(-5). Suppose 4*t - s = 9. Let u(o) = -16*o. Let g(z) = -3*z. Let q(h) = 11*g(h) - 2*u(h). Determine q(t).
-5
Let j be 1/2*18/3. Let n(w) = -w**2 + w. Give n(j).
-6
Let a(v) = -2*v - v - 1 + 2*v**2 + 2*v - 7*v**2. Let t be 2/((12/3)/(-2)). Calculate a(t).
-5
Let l(m) = m**2 - 6*m + 2. Suppose -41 - 37 = -13*r. Give l(r).
2
Let t(f) = 7*f**2 - 15*f - 11. Let i(r) = r**3 - r**2 - r - 3. Let s be i(0). Let u(z) = 4*z**2 - 8*z - 6. Let y(p) = s*t(p) + 5*u(p). What is y(6)?
-3
Let b(u) = 2*u - u - 2*u**2 + 2 - u**2. Let t = 8 - 1. Let h = -5 + t. Calculate b(h).
-8
Let d(v) = v - 14. Suppose -3*w - 2*w - 23 = -3*x, 25 = 5*x + 5*w. Give d(x).
-8
Let p(g) be the third derivative of g**5/60 - g**4/6 - 12*g**2. Determine p(5).
5
Let u(t) = -t - 2. Suppose 0 = k + h - 2 + 5, -5*k - 2*h - 12 = 0. Give u(k).
0
Let b(k) = 0 + 8*k + 1 - 4*k. Determine b(-1).
-3
Let i(q) = -q**2 - 5*q + 1. Let v(x) = 5*x + 3. Let p(s) = 9*s + 7. Let z(d) = -2*p(d) + 5*v(d). Let n be z(-1). What is i(n)?
-5
Let n(r) = 4*r + 11*r - 14*r - 4. Let u(v) = v**2 - 6*v + 7. Let k be u(5). What is n(k)?
-2
Let n(h) = 2*h. Let w(u) = -u**3 + 7*u**2 + 8*u + 4. Let j be w(8). Let d(s) = -j - s - 4*s + s**2 - 3. Let a be d(6). Determine n(a).
-2
Let z(n) = -1 + 58*n**2 + n**3 - 62*n**2 - 5 + 4*n. Let x = 3 - -1. Determine z(x).
10
Let x(u) = u**3 - 4*u**2 - 5*u + 5. Let q be x(5). Let r(l) be the second derivative of l**3/6 + 5*l. Calculate r(q).
5
Let k(r) = -2*r**2 + 4 - 10 + 2*r**3 + 4. Calculate k(2).
6
Let s(k) = -2 + 2 - 3 + k. Let x = 15 - 8. Suppose -2*m + x*m = 10. Calculate s(m).
-1
Let k(w) be the first derivative of w**4/4 - w**3 + w**2 - w + 2. Let o = 13 - 12. Calculate k(o).
-1
Let v(c) = 0*c**2 + c**2 - c**3 + 0*c**3. Let g be v(1). Let m(l) = -l - 7. Give m(g).
-7
Let h(q) = -2*q + 1. Suppose 0 = -4*w + 1 + 11. Let c be 7/(-2) - w/2. Let u be c/(-15) - 2/(-3). Calculate h(u).
-1
Let w(i) = 5*i**2 - i + 1. Let u be ((-14)/4)/((-3)/6). Suppose 0 = 3*p - u*p + 4. What is w(p)?
5
Let s(z) = 3 - 10 - 4*z + 6. Give s(2).
-9
Let x(i) = -2*i - i + 2*i - i**3 + 4*i**2 + 0*i**2. Suppose 45 = 5*r - 5*z, 3*r - 30 = -0*r + 4*z. Let t be 7/3 - (-4)/r. Give x(t).
6
Let p(v) = v**3 + 5*v**2 - 8*v - 5. Let c = -10 - -4. What is p(c)?
7
Suppose -2*l = -5*l + 5*q + 28, 8 = -2*l - 2*q. Let f(v) = -3 - 1 + l - 3*v + 4. Calculate f(2).
-5
Let w(q) = -10*q**3 + q**2 + 7*q. Let s(b) = 7*b**3 - b**2 - 5*b. Let l = 23 + -5. Suppose -3 = 3*d + l. Let m(j) = d*s(j) - 5*w(j). Calculate m(-3).
-9
Suppose -14 = -f + 13. Let u be -1 - (-1 - 1 - 2). Suppose -3*h - 11 = -0*h + 5*o, 5*h - u*o = f. Let s(v) = -2*v + 1. What is s(h)?
-5
Let c(k) be the second derivative of -k**5/20 - k**4/4 + 5*k**3/6 + k**2 + 6*k. Give c(-4).
-2
Let c(g) = -10*g**2 + g + 2. Let v(b) = -21*b**2 + 2*b + 5. Let r(o) = -5*c(o) + 2*v(o). Suppose 3*i + 6 = 0, 4*w - 7 = -w + i. What is r(w)?
7
Suppose -22 - 5 = -9*k. Let j(y) = -y + 4. Let x = 5 + -8. Let i(p) = 3*p - 8. Let q(b) = x*i(b) - 5*j(b). Calculate q(k).
-8
Let g(l) = l**3 - 4*l**2 + 2*l + 4. Let r(d) = d**2 - 8*d + 3. Let f be r(8). Let q be g(f). Let z(k) = k**2 - k - 1. Calculate z(q).
-1
Let k(q) = q**3 + 4*q**2 - q - 4. Let o(v) = -2*v + 32. Let n be o(18). What is k(n)?
0
Let u(w) be the second derivative of 5/6*w**3 + w**2 - 1/12*w**4 + 2*w + 0. Calculate u(5).
2
Suppose 0 = 5*a - a. Let b = 0 + a. Let s(d) = d + 11. Give s(b).
11
Let d = -84 - -84. Let w(t) = -t**3 + t**2 + 30. Determine w(d).
30
Suppose -4*l = -4*t + 24, -l + 2*t - 21 = -2*t. Let k = 0 - l. Let u(n) = -k + 6 - n - 2. Give u(-4).
7
Let d = 1 + -1. Let i(s) = d + 5*s - 1 - 2. Let z be -1 + 1 - (-2)/1. Determine i(z).
7
Suppose 5*l + 2*x + 13 = 0, 5*x = l - 3 + 11. Let b(s) = -s**2 + 2. Calculate b(l).
-7
Let i(m) = -4*m**3 + 1 + 3*m**2 - 2 + 3*m**3. Suppose 0 = -o - s - 1, 2*s = -4*o - s - 1. What is i(o)?
3
Suppose 1 = -b + 7. Let h(j) = 7*j**3 - 12*j**2 + 9*j - 13. Let l(u) = -10*u**3 + 18*
|
{
"pile_set_name": "DM Mathematics"
}
|
1. Give s(-60).
-9
Let a(m) = 3*m**2 + 80*m - 90. What is a(-28)?
22
Let l(f) = -7*f**2 + 46*f + 15. What is l(7)?
-6
Let x(l) = -l**2 - 150*l + 786. Calculate x(5).
11
Let o(h) = -129*h + 85. Calculate o(3).
-302
Let r(g) = -g**3 - 135*g**2 + 10*g + 1347. Determine r(-135).
-3
Let x(r) = -r**2 + 20*r + 75. Give x(21).
54
Let m(l) = -84*l - 617. Determine m(-7).
-29
Let c(h) = 2*h**2 + 20. What is c(6)?
92
Let g(k) = 13*k**2 - 69*k + 3. What is g(7)?
157
Let a(x) = -x**3 + 7*x - 3. Determine a(-3).
3
Let c(m) = 2*m**2 - 119*m - 340. What is c(62)?
-30
Let i(l) = -21*l**2 + 434*l + 128. What is i(21)?
-19
Let c(k) = -k**2 + 85*k - 199. Determine c(82).
47
Let z(d) = 4*d**3 - 47*d**2 - 9*d - 45. Give z(12).
-9
Let a(c) = -11*c - 207. Give a(11).
-328
Let t(h) = -h**3 + 6*h**2 - 6*h + 15. Determine t(4).
23
Let c(t) = -t**3 + 33*t**2 - 101*t - 74. Give c(30).
-404
Let r(l) = 41*l**2 - 15259*l + 2612. What is r(372)?
8
Let i(b) = -b**3 - 26*b**2 - 5*b - 552. What is i(-27)?
312
Let b(x) = -3*x**3 - 13*x**2 + 33*x + 106. What is b(-5)?
-9
Let y(o) = 4*o**3 - 21*o**2 + 41*o - 49. Give y(3).
-7
Let u(n) = 40*n + 1325. Give u(-35).
-75
Let w(z) = -2*z**2 + 4960*z + 14895. Determine w(-3).
-3
Let h(k) = -93*k + 2. Determine h(-2).
188
Let r(v) = 264*v - 1889. Calculate r(8).
223
Let w(k) = k**3 + 42*k**2 - 87*k + 116. Calculate w(-44).
72
Let f(k) = k**2 - 199*k + 4331. What is f(25)?
-19
Let u(k) = 30*k**2 - 8*k - 3. Determine u(-1).
35
Let k(l) = -2*l**3 + 93*l**2 - 517*l - 163. Calculate k(40).
-43
Let t(o) = o**2 - 41*o - 281. Give t(46).
-51
Let n(t) = t**3 - 58*t**2 + 175*t + 2221. Give n(54).
7
Let p(w) = w**3 + 26*w**2 - 92*w - 215. Give p(-29).
-70
Let s(i) = -75*i + 775. Calculate s(11).
-50
Let c(j) = -j**2 + 58*j - 450. Calculate c(8).
-50
Let t(h) = -72*h + 583. Determine t(8).
7
Let d(r) = -r**2 + 6*r - 131. Give d(11).
-186
Let q(j) = 4*j**2 - 16*j - 16. Calculate q(0).
-16
Let r(l) = l**3 - 26*l**2 - 30*l - 143. Determine r(27).
-224
Let z(m) = -m**2 - 58*m + 531. Give z(8).
3
Let l(m) = -23*m + 47. Give l(1).
24
Let z(j) = -j**3 - 8*j**2 - 3*j + 24. What is z(-6)?
-30
Let s(k) = -214*k + 5244. Determine s(24).
108
Let g(t) = -t**3 + 80*t**2 + 26*t - 1726. Determine g(80).
354
Let k(o) = -22*o**2 - 54*o + 12. Calculate k(-3).
-24
Let o(s) = 17*s - 774. Calculate o(44).
-26
Let r(d) = -353*d - 3482. Give r(-10).
48
Let x(c) = -c**2 - 629*c - 17975. Calculate x(-30).
-5
Let n(a) = -a**2 - 26*a + 185. Calculate n(7).
-46
Let z(v) = -2*v**3 - 9*v**2 - 13*v - 32. Give z(-9).
814
Let c(d) = 115*d**2 + 344*d. Calculate c(-3).
3
Let d(c) = -c**2 + 25*c - 159. Give d(17).
-23
Let h(w) = w**2 + 14*w + 45. Calculate h(-4).
5
Let a(g) = -2*g**3 + 181*g**2 - 269*g + 183. Calculate a(89).
5
Let s(j) = -j**2 + 11*j + 23. Give s(5).
53
Let v(z) = 33*z - 1533. Determine v(42).
-147
Let h(q) = 68*q - 241. What is h(4)?
31
Let k(q) = q**2 + 27*q - 1303. What is k(-52)?
-3
Let p(m) = -14*m**2 - 369*m - 1567. Determine p(-21).
8
Let w(r) = -132*r - 790. Determine w(-6).
2
Let j(d) = -4*d**3 + 10*d**2 - 6*d + 6. What is j(3)?
-30
Let b(u) = 2*u**3 - 46*u**2 + 43*u + 23. What is b(22)?
1
Let k(o) = 13*o**3 - 88*o**2 - 7*o + 12. Give k(7).
110
Let o(t) = -6*t - 82. What is o(-43)?
176
Let k(l) = 9*l + 699. Give k(-75).
24
Let n(f) = f**3 - 4*f - 32. Calculate n(0).
-32
Let y(q) = -5315*q - 63787. What is y(-12)?
-7
Let v(t) = 2*t**2 - 5*t - 149. Calculate v(5).
-124
Let k(i) = 444*i + 4888. Give k(-11).
4
Let x(b) = -4477*b + 35814. Determine x(8).
-2
Let a(o) = -6*o**2 + 62*o - 142. Give a(4).
10
Let d(f) = 4*f**2 + 7*f + 36. What is d(-4)?
72
Let h(p) = -103*p + 534. Determine h(5).
19
Let r(s) = 122*s - 2183. Determine r(18).
13
Let y(h) = 177*h + 122. Determine y(-1).
-55
Let d(a) = 2*a**3 - 5*a**2 - 4*a + 4. What is d(-3)?
-83
Let d(k) = 12*k**2 + 452*k - 152. Give d(-38).
0
Let k(c) = -c**3 + 44*c**2 - 256*c - 120. Determine k(37).
-9
Let q(l) = -38*l + 1516. What is q(43)?
-118
Let x(q) = -q**2 + 335*q - 1304. Give x(4).
20
Let r(d) = -d**3 - 152*d**2 + 158*d + 752. Give r(-153).
-13
Let v(u) = -u**2 + 33*u - 110. Give v(22).
132
Let q(c) = -2*c**2 + 22*c + 182. Give q(16).
22
Let t(i) = -6*i**2 - 11*i + 134. Give t(4).
-6
Let d(k) = k**3 - 2*k**2 - 45*k + 93. Give d(6).
-33
Let v(m) = -49*m - 45. Give v(0).
-45
Let s(o) = o**3 + 6*o**2 - 90*o + 31. What is s(-13)?
18
Let j(f) = -339*f**2 + 3057*f - 26. Calculate j(9).
28
Let q(f) = f**2 + 359*f - 11258. Calculate q(29).
-6
Let m(d) = -d**3 + 11*d**2 - 30*d - 14. Determine m(10).
-214
Let x(z) = z**2 - 49*z - 1074. Determine x(-22).
488
Let w(q) = 8*q**3 + 10*q**2 - 13*q - 2. Determine w(1).
3
Let m(l) = -9*l**2 - 34*l + 257. Calculate m(6).
-271
Let o(k) = -16*k - 2313. What is o(-145)?
7
Let p(j) = 137*j - 668. Calculate p(5).
17
Let q(k) = -300*k + 1485. Give q(5).
-15
Let k(g) = -12*g + 48. Calculate k(32).
-336
Let z(t) = -t**2 + 175*t - 3318. Determine z(22).
48
Let s(l) = -l**3 - 26*l**2 - 163*l + 70. What is s(-14)?
0
Let v(j) = 905*j + 3708. Determine v(-4).
88
Let p(m) = -27*m**2 - 236*m + 53. Calculate p(-9).
-10
Let l(j) = 33*j**2 - 3498*j - 20. Determine l(106).
-20
Let d(q) = 198*q + 2196. Give d(-11).
18
Let u(m) = 11*m - 110. What is u(39)?
319
Let s(o) = 2*o**2 + 47*o + 97. Give s(-21).
-8
Let r(y) = 19*y - 118. Determine r(13).
129
Let a(r) = r**2 + 238*r - 7153. Calculate a(27).
2
Let x(o) = -o**3 + 11*o**2 - 81*o + 272. What is x(5)?
17
Let b(g) = -12*g + 61. Give b(6).
-11
Let z(b) = 51*b + 2752. Determine z(-54).
-2
Let d(z) = z**2 + 41*z - 556. Give d(9).
-106
Let p(r) = 94*r + 216. Determine p(-2).
28
Let s(t) = t**3 - 34*t**2 - 161*t - 37. Give s(-4).
-1
Let w(o) = o**3 + 2*o**2 - 14*o + 16. Calculate w(-5).
11
Let l(z) = z**3 - 51*z**2 + 385*z - 303. Give l(42).
-9
Let b(o) = -4*o**2 + 58*o + 41. Give b(15).
11
Let v(m) = m**3 + 38*m**2 - 164*m + 90. Give v(-42).
-78
Let f(r) = 104*r - 221. What is f(4)?
195
Let m(o) = -13*o**2 - 94*o - 38. Calculate m(-7).
-17
Let w(x) = x**2 - 49. Give w(8).
15
Let v(t) = t**3 - 66*t**2 + 696*t - 372. Calculate v(53).
-1
Let b(q) = -q**2 + 1179*q - 90971. Calculate b(83).
-3
Let b(y) = y**3 - 19*y**2 - 9*y - 382. Calculate b(20).
-162
Let g(r) = r**3 + 31*r**2 - 6*r - 1901. Determine g(-29).
-45
Let z(w) = 11*w**3 + w**2 + 4*w - 13. Calculate z(3).
305
Let k(z) = 515*z - 2003. Determine k(4).
57
Let x(v) = v**3 + 9*v**2 - 92*v - 844. Calculate x(-9).
-16
Let m(p) = -p**2 + 70. What is m(-12)?
-74
Let q(m) = -m**3 - 148*m**2 - 296*m - 584. Calculate q(-146).
0
Let x(t) = 2*t**3 + 272*t**2 + 3625*t - 595. Give x(-121).
10
Let y(q) = -q**2 + 75*q + 27. Calculate y(0).
27
Let y(n) = 29*n - 162. Determine y(8).
70
Let c(y) = 50*y**2 + 499*y - 1. What is c(-10)?
9
Let d(v) = 45*v - 462. Determine d(2).
-372
Let u(k) = -3*k**3 - 13*k**2 + 63*k - 6. Determine u(-7).
-55
Let s(k) = -k**3 + 6*k**2 - 5*k + 13. Determine s(4).
25
Let u(s) = -s**3 + 6*s**2 + 10*s - 19. Give u(6).
41
Let r(p) = -8*p**2 + p + 12. What is r(8)?
-492
Let f(u) = -2*u**2 - 21*u + 36. What is f(-12)?
0
Let i(u) = -133*u**2 - 6253*u - 89. Calculate i(-47).
5
Let t(u) = u**3 - 5*u**2 + 15*u - 30. Calculate t(3).
-3
Let h(w) = 28*w**2 - 753*w - 57. Give h(27).
24
Let g(n) = n**2 + 146*n + 4854. Calculate g(-95).
9
Let x(f) = -2*f**3 + 26*f**2 - 32*f - 51. What is x(10)?
229
Let t(n) = -5*n**3 + 96*n**2 + 192*n - 69. What is t(21)?
-6
Let c(k) = 109*k - 30180. Determine c(277).
13
Let o(x) = -x**2 - 96*x - 2140. Calculate o(-61).
-5
Let a(j) = 2*j**2 + 53*j + 69. What is a(-24)?
-51
Let a(p) = -p**3 + 6*p**2 - 11*p + 73. Determine a(8).
-143
Let m(f) = 3*f**3 - 37*f**2 - 64*f - 74. Calculate m(14).
10
Let m(l) = 34*l**2 + 206*l + 14. Determine m(-6).
2
Let l(z) = -2*z**2 + 68*z + 208. Give l(38).
-96
Let j(c) = 14*c - 12. Give j(2).
16
Let v(x) = -3*x**3 - x**2 + 24*x - 8. Give v(5).
-288
Let w(b) = -9*b**2 - 256*b + 989. Determine w(4).
-179
Let u(w) = -w**2 - 15*w + 233. What is u(-25)?
-17
Let n(p) = 811*p - 1652. What is n(2)?
-30
Let f(o) = 24*o + 17. Determine f(5).
137
Let p(w) = 593*w - 21358. Give p(36).
-10
Let c(f) = 2*f**3 + 13*f**2 + 37*f + 46. What is c(-3)?
-2
Let r(n) = -n**2 + 27*n + 180. Calculate r(28).
152
Let i(u) = u**2 - 74*u - 2488. Give i(-25).
-13
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
w**2 + 2*w**2)*(-2*w - 2*w + 6*w) - 2*w**3 + 3*w**3 - 3*w**3).
17*w**4
Expand (-5 - 12*j + 7 + 34*j)*(-2 - 2 + 2).
-44*j - 4
Expand (-3*g + g + 0*g)*(3*g + g - 3*g)*(-77*g - 30*g**2 + 17*g + 28*g**2).
4*g**4 + 120*g**3
Expand 0*i**3 + 0*i**3 + 2*i**5 + (-4*i + i + i)*(-i**4 + i**4 + 2*i**4) + 3*i**5 - i**5 - 3*i**5 - 13*i**5 - 1 + 12*i**5 + 0.
-4*i**5 - 1
Expand -37 - 11 - r - 48 - 2*r + 2*r + r + (0*r + 0*r - r)*(-5 + 1 + 3).
r - 96
Expand (3*p + 0*p + 0*p)*(-2 + 0 + 13).
33*p
Expand (-2 - 9 - 12)*(-2*p**2 + 3*p**2 + 3*p**2).
-92*p**2
Expand (-122*l - 4 + 122*l - 2*l**3)*(4 + 1 - 2).
-6*l**3 - 12
Expand -5*j**3 + 3*j**5 + 5*j**3 + (-2*j**3 + j**3 + 3*j**3)*(3 - 3 + 4*j**2).
11*j**5
Expand (4 + 0 - 1)*(2*t**5 + 0*t**5 - 10*t**3 + 14*t**3) + (t**2 - t**2 + t**3)*(1 + 2*t**2 - 1) + 5*t**5 - 4*t**5 + t**5 + t**2 + t**5 - t**2.
11*t**5 + 12*t**3
Expand (2 + 2 - 5)*(2*u**4 + u**4 - 5*u**4) + 5 - 5 - 3*u**4.
-u**4
Expand (3*g**3 - 2*g**3 + 0*g**3)*(1 - 2*g - 1) + 0*g**2 - 2*g**4 - g**2 + 3*g**4.
-g**4 - g**2
Expand (-a**2 - 2*a**2 + 2*a**2)*(a + 8*a - 3*a) + 2*a**3 + 2*a**3 - 3*a**3 + 0 + 0 - a**3 + (-3*a + a + 3*a)*(-4*a**2 + 0*a**2 + 6*a**2).
-4*a**3
Expand (-2*s**3 + s**3 + 0*s**3 + (4*s - 5*s + 2*s)*(0*s + 0*s - s**2))*(1 - 6 + 2) + (-5*s**2 - s**2 - s**2)*(s + s - 3*s).
13*s**3
Expand (0 + 2 - 5)*(-4*y + 2*y + 8*y + (0 + 0 - 1)*(-y + y - y)).
-21*y
Expand (-r + 2*r + 0*r)*(r + 2*r - 2*r)*(1 - 1 + 3*r).
3*r**3
Expand (2 - 5 + 1)*(0*n - 2*n**2 + 0*n) + 5*n**2 + 3*n**2 - 7*n**2 + (n - 1 + 1)*(0*n + n - 2*n) + 2*n**2 - 2*n**2 - 2*n**2.
2*n**2
Expand (-5 - 13*n**2 + 5)*(0*n**3 + n**2 - n**3 - n**3).
26*n**5 - 13*n**4
Expand (-n**2 - 2*n**2 + 7*n**2 - n)*(-n + 3*n - n)*(-3*n - 4*n + 6*n).
-4*n**4 + n**3
Expand (-2*b + 5*b - 4*b)*((-6 + 2 + 1)*(3 - 4 + 3) + 0 + 5 - 3 + (1 - 3 + 0)*(-1 + 22 - 6) - 5 + 1 + 3).
35*b
Expand (0*t - 5*t + 3*t)*(2*t - t + 0*t) + (10*t + 280 - 280)*(-2 + 2 + t) + (3*t + t - 2*t)*(2*t + 1 - 1).
12*t**2
Expand (0*a**2 - 6*a**2 + a + 2*a**2)*(-a + 0*a + 0*a).
4*a**3 - a**2
Expand (3 - 4*g**3 - 3)*(-1 + 2 - 3 - 1 - 4 + 3 + (1 - 4 + 2)*(1 - 2 + 3) + 0 - 2 + 5).
12*g**3
Expand (3*l - 2*l - 4*l + (1 + 1 + 0)*(2*l - 3*l - l) - 4 - 2*l + 0 + 3)*(7*l**2 + 7*l**2 + l**2).
-135*l**3 - 15*l**2
Expand -2*h - 9*h - 2*h + 2*h + 2 - 2 + (h - 3*h + 3*h)*(2 - 3 + 2).
-10*h
Expand (-5*b - 6*b + 4*b**2 - 2*b)*(b - 4*b + 2*b).
-4*b**3 + 13*b**2
Expand (3 - 1 + 1)*(-m**4 - 2*m**3 + 2*m**3) - 7*m + 7*m - m**4.
-4*m**4
Expand 0*l**2 + 2*l**2 - 3*l**2 + (3*l - 4*l + 2*l)*(-6*l + 4*l + 3*l) - 4*l - 2*l**2 + 4*l + 4*l**2 - 5*l**2 + 2*l**2.
-l**2
Expand (-k - 3*k + 5*k + (0 + 3 + 0)*(k + 0*k - 2*k))*(0 + 2 + 0) + 4*k - 3*k - 5*k + (-k + 2*k + 0*k)*(0 - 2 + 0) - 2 - 2*k + 2 - k + 3*k - 4*k.
-14*k
Expand (0*g + 0*g - 2*g**3)*(3 - 2 + 1) - 4*g**3 + 3*g**3 + 3*g**3 - 6*g**2 + 6*g**2 - 2*g**3 + (-2*g**3 + 5*g**3 + 0*g**3)*(4 - 4 + 1).
-g**3
Expand (3*d + d**2 - 3*d)*(-329*d + 329*d + 26*d**3).
26*d**5
Expand 4*p**4 - 4*p**4 + p**4 - 7*p**4 + 7*p**4 - 3*p**4 + (-3 + 3 + 2*p)*(2*p**2 - 2*p**2 - p**3).
-4*p**4
Expand (8 - 8 - c**2)*(-2*c - 1 + 1).
2*c**3
Expand (-6 + 1 + 0*b + 2*b)*(b - b + 3*b).
6*b**2 - 15*b
Expand (-w + w - w**2)*(0*w + w - 2*w) + 0*w**3 - 2*w**3 + 4*w**3 + 2*w**3 - w**3 + w**3 - 2*w**3 + w - 3 + 1 + w.
3*w**3 + 2*w - 2
Expand (k + k - 4*k)*(0 - k + 0) + (3*k - 4*k + 3*k)*(3*k - 5*k + k) + (-1 + 2 + 1)*(k**2 - 3*k**2 + 4*k**2).
4*k**2
Expand (2*j - 2*j + j)*(-2 + 4 + 0)*(1 - 4 + 2).
-2*j
Expand 0*k + 0*k + 2*k + (k - k + 2*k)*(4 - 5 + 3) + (-3 + 1 + 8)*(4*k + 2*k - k).
36*k
Expand (v**5 - 6*v**5 + v**5)*(-4 + 5 - 8).
28*v**5
Expand (2 - 10 + 3)*(1 - 4 + 4)*(-3 + 2*r**5 + 3).
-10*r**5
Expand (2*k - 2 + 2)*(-1 - 1 + 3) + 2 - 2 - k.
k
Expand (1 + x - 1)*(-9*x + 11*x + 3 + 4).
2*x**2 + 7*x
Expand (v**4 + 0*v**2 + 0*v**2)*(-2*v - v - 226 + 234).
-3*v**5 + 8*v**4
Expand (-2*x**5 - 2*x**5 + 2*x**5)*(1 - 2 + 5).
-8*x**5
Expand (2*w**4 + 0*w**4 - 4*w**4)*(4*w + 0*w - 10*w).
12*w**5
Expand (2*m + 0*m + 4*m)*(-2 + 2 + 2*m + 2).
12*m**2 + 12*m
Expand (3*x - 4*x + 2*x)*(-12 - 8 + 19).
-x
Expand ((-3*h - 6*h + 3*h)*(8*h - 8*h - 3*h**3) + h**4 + 2*h**4 - 2*h**4)*((0 - 2 + 1)*(3 - h - 3) - 2*h + h + 3*h + h + 2*h - h).
95*h**5
Expand (-3 + 2 + 0 - y + (3 + 5 - 4)*(-2 - y + 2))*(0 + 0 + 2*y).
-10*y**2 - 2*y
Expand -4*r**3 + 3*r**3 - 2*r**3 + 3*r**3 - r**3 + 0*r**3 + (5*r - 3*r - 3*r)*(-r**2 + 2*r**2 - 2*r**2) + 2*r + 2*r**3 - 2*r + 4*r**3 + 0*r**3 - 3*r**3.
3*r**3
Expand (5 + 5 - 6)*(-2 + 1 - 2)*(-2 + 2 - 2*t).
24*t
Expand (-66 + 38 + 50)*(1 - 1 + q).
22*q
Expand (7*p**2 - 4*p**2 - 2*p**2)*((-p + 2*p - 2*p)*(3*p + 0*p - 2*p) - 3*p + 2*p**2 + 3*p + 5*p**2 - 2*p**2 - p**2).
3*p**4
Expand (l**2 + 4*l**2 - 4*l**2)*(20 + 5 - 7) + 3*l**2 - 4*l**2 + 3*l**2.
20*l**2
Expand (-6*b**4 + 2*b - 2*b)*(5*b - 4*b + 0*b).
-6*b**5
Expand (0*p - 2*p - 2*p)*(4*p - p - 2*p)*(5*p - 8*p + 6*p).
-12*p**3
Expand 5*s**5 + 0*s**5 - 2*s**5 + 4*s**5 - 2*s**5 - 3*s**5 + (-132*s + 132*s - 11*s**4)*(s + 4*s - 3*s) - s**2 + s**5 + s**2.
-19*s**5
Expand (-3*z + z - 5*z)*(0 + 0 + 1 + (3 - 4 + 3)*(-3 + 3 + 1) + 3 - 3 - 1 - 1 - 3 + 2 + 1 + 1 - 4).
14*z
Expand 1 - 1 - 2*r**5 + (5*r**3 - 2*r**2 + 2*r**2)*(-3 + 3 - r**2).
-7*r**5
Expand (2 + 1 - 2)*(7*h + 16*h**2 - 2*h - 12*h**2).
4*h**2 + 5*h
Expand 5*o - 2*o - 2*o + (0*o + 6*o - 3*o)*(0 - 1 - 1).
-5*o
Expand (-v**3 + 0*v**3 - v**3)*(0*v + 0*v - v**2) + 4 - 4 - v**5 + (0*v**4 - 2*v**4 + v**4)*(-3*v + 2*v - v).
3*v**5
Expand -135 + 135 + 10*i + (3 - 1 + 0)*(i + 4*i - 3*i).
14*i
Expand (-3*d**2 + 3*d**2 + d**3)*(-d + 1 - 1 + (2*d + 3*d - 6*d)*(-1 + 1 - 1) + 5*d + d - 4*d + 2*d - 4 + 4 - 2*d + 0 + 0)*(7 - 3 + 1).
10*d**4
Expand (4*d + 0*d - d - 7*d + 2*d + 3*d + 4 - 4 - 2*d - 2*d - 1 + 1 + (-2 + 4 - 1)*(-2*d - d + 2*d))*(3*d + 3*d - 5*d).
-4*d**2
Expand -3*n - 4*n + 5*n + 0*n - 6*n + 5*n + 3*n + 0*n - 2*n + 0*n + 0*n - 2*n + (-3 - 3 + 7)*(-2*n + 1 - 1) - 1 - 2*n + 1 - 2 + n + 4 + n.
-6*n + 2
Expand (5*q**2 + 5*q**2 + 23*q - 9*q**2)*(-1 + 1 + q).
q**3 + 23*q**2
Expand (37 + 38 - 18)*(1 - 3*s**2 - 1)*(s + 3*s - 3*s).
-171*s**3
Expand (3*n**2 - 4*n**2 + 2*n**2)*(-2 + 2 + n**3) + 3*n**5 - 5*n**5 + 15*n**5.
14*n**5
Expand (-4*g**3 + g**3 + 0*g**3)*(73 - g + 5*g**2 - 73) - 1 - g**5 + 1.
-16*g**5 + 3*g**4
Expand (-1 + 5*o**5 + 1)*(-3 + 1 + 6)*(1 - 2 - 1).
-40*o**5
Expand (-6*g + 6*g - 3*g**2)*(-g**2 + g - g) + (-2*g - g + g**3 + 0*g**3)*(-3*g + 0*g + g).
g**4 + 6*g**2
Expand -2*o**2 - 3*o + 3*o + (2*o - 2 + 2)*(o - o - 2*o) + 4*o**2 - o**2 - 4*o**2 - 4 + 4 + 5*o**2 + (2*o + 0*o + o)*(o + o - o).
o**2
Expand (12 + 2 - 4)*(-3*a**2 + 4*a**2 + a**2) + (a - 2 + 2)*(3*a + 2*a - 4*a).
21*a**2
Expand h - 2*h + 2*h + (-2*h - 4 + 4)*(-2 - 3 + 3) + (2*h + h - 4*h)*(-4 - 1 - 1).
11*h
Expand (m - 4*m + 6*m)*((0 - 2 + 4)*(2 - 4 + 0) - 1 + 2 + 1 + 1 - 5 + 1).
-15*m
Expand 2*u**4 - 2*u**4 - u**4 + (0*u**4 - 2*u**4 + 0*u**4)*(1 - 4 - 3).
11*u**4
Expand (-2 - 1 + 6)*(-n**3 - n**3 - n**3) + n**3 + 0*n**3 + n**3.
-7*n**3
Expand -t**5 + 2*t**5 + 2*t**5 + (t**4 + 0*t**4 + t**4)*(-3*t + 0*t + 0*t) - t**2 + t**2 + t**5.
-2*t**5
Expand (-b - 2*b + 4*b)*(4*b - 5*b + 0*b) - 2*b**2 - 3*b**2 + 3*b**2 + (-9*b + 6*b - 9*b)*(-6*b + 3*b + 2*b).
9*b**2
Expand (-g**3 - g**3 - 4*g**3)*(-1 + 1 - 3)*(-2*g - 3*g + 4*g).
-18*g**4
Expand (l - 7*l - 9*l + (0 - 2 + 4)*(0 + 2*l + 0))*((-4 - 1 + 3)*(2 - 5 + 5) + 2 - 3 + 2 - 3 + 1 + 3 + 0 - 3 + 1).
44*l
Expand h - h - 2*h**3 - 3*h**3 + 5*h**3 + 0*h**3 + (h**2 - 4*h**2 + 2*h**2)*(-3*h + 2*h + 2*h) + 0 + 0 - h**3 + 0*h**3 - 3*h**2 - h**3 - 1 + 0*h**3.
-3*h**3 - 3*h**2 - 1
Expand (u**2 - 3*u + 3*u)*(3*u - 3*u + u)*(1 - 5 + 0).
-4*u**3
Expand (-2 + 0 - 6)*(0*w**2 - 3*w**2 + 2*w**2).
8*w**2
Expand (2*a + a - 4*a)*((-2*a + 2 - 2)*(0 + 1 - 2) + 5*a + 8*a + 3*a).
-18*a**2
Expand 7*c - 7*c - 28*c**3 + c + c**3 - c + (-1 + 1 + c)*(-c**2 + 3*c**2 - c**2).
-26*c**3
Expand (6 - 3 - 2 + (4 + 0 - 2)*(2 + 0 - 1) - 2 - 2 + 5)*(386 - 4*w**5 + w**4 - 386).
-16*w**5 + 4*w**4
Expand (-3*o - 9*o + 5*o)*(5*o - 2*o - o)*(-7 + 3 - 18*o + 5).
252*o**3 - 14*o**2
Expand (-1 + 1 + x**4 - 5*x**4 + 3*x**4 - 3*x**4 + (1 - 5 + 2)*(-x**4 - 1 + 1))*(-x + 3*x - 3*x).
2*x**5
Expand (w**2 + 0*w**2 + w**2)*(8 + 3 - 4)*(-4*w + 2*w + 4*w).
28*w**3
Expand (-j**3 + 2*j**3 + 0*j**3 + (2*j*
|
{
"pile_set_name": "DM Mathematics"
}
|
r, 8 = b - 5*w + 8*w for b.
2
Suppose 18 = -3*h, 28*h - 25*h = c - 21. Solve -6*u + 7*u - 6 = -2*g, c*g + 5*u - 16 = 0 for g.
2
Let o be (-6*1)/3 + -9. Let w = o - -16. Suppose -4*c = -2*m - 6, -3*c - 69 = 3*m - 60. Solve -5*l - w = c, -4*z - 2*l = 20 - 2 for z.
-4
Let m(t) be the first derivative of -5*t**2 - 54*t + 20. Let k be m(-6). Solve 4*f + 3*a = k, 0*a + 4*a = -3*f + 8 for f.
0
Let n be (-1)/(3/(-102)*1). Suppose 0 = -j + n - 32. Solve 5 = -l - 4*g, -j*g + 1 = -3*l - 0*g for l.
-1
Let g = -9 + 27. Let p be (402 - 16)*(4 + -3). Let f = p - 383. Solve -4*z + g = -z - f*u, 2*z + 3*u = -8 for z.
2
Let p be 18*(-21)/(819/(-52)). Solve -23*v + p*v - 2*a + 7 = 0, 5*v = 5*a - 15 for v.
1
Suppose -2*h + 178 = -k - 3*k, -k - 5*h - 61 = 0. Let x = k + 38. Let m = -7 - x. Solve w + 3*z = m, -z + 17 = -3*w - 0*z for w.
-5
Let c be 2/1 - 189/(-42)*12/18. Solve h = -4*y, 19*y + c*h = 18*y for y.
0
Suppose 2*k = 7*k - 4*m + 76, 5*m = 4*k + 59. Let o(s) = -s**3 - 16*s**2 + 2*s + 35. Let r be o(k). Solve n - 3 = 5*n - r*c, 3*n + 15 = -2*c for n.
-3
Let o = -30351 + 30353. Let u(h) = -h - 2. Let l be u(-5). Let j be (l/9)/((-2)/(-18)). Solve 5*k - j = y, -y + o*k + 1 = k for y.
2
Let o(i) = -17*i**2 - 14*i + 7. Let k be o(2). Let y = k - -93. Solve 0 = w - 5, y*v - 4*w + 12 = -0 for v.
2
Let w(p) be the third derivative of 0 + 8*p**2 + 14/3*p**3 - 1/12*p**4 + 0*p. Let q be w(12). Solve q*i - 3*c + 7*c = 0, 6 = 5*i + 2*c for i.
2
Let k(h) = h**2 + 9*h - 10. Let m be k(-10). Suppose 5*p - 11 - 39 = m. Suppose 0 = 2*r - 4 - 0. Solve -4*j - r*b + p = 0, 5 = -5*j - 4*b + 16 for j.
3
Let q be 1 - (18/72)/(1/(-284)). Let f be 16/q + 208/36. Solve -4*s - 5*r = 14, -2*s + f = 2*s - 5*r for s.
-1
Let o(u) be the first derivative of -u**4/4 + 7*u**3/3 - 3*u**2 - 13*u + 115. Let r be o(4). Let a = -3 - -7. Solve a*z = -3*i - r, 2*z + 8 = -2*i - 0*z for i.
-5
Let h be (6/(-5))/(-7 + 238/35). Suppose 2 + 106 = h*o. Suppose -21*q + o*q = 0. Solve -w = -i + 7, q*w - w - 5*i = -17 for w.
-3
Suppose x + 2*h = -22, -2*h = -x - 87 + 109. Let b be -7*(-5 + -1 + 3). Solve -5*f + 21 = -x*s - 4*s, 5*s = f - b for f.
1
Let s be 3/(-15) + (-348)/(-15) + -2. Suppose -27*k + 60 = -s. Solve 0 = -2*i + k*v + 2 - 1, -4*i - 2*v = -26 for i.
5
Let z(b) = 24*b - 54*b + 16*b + 18*b - 26. Let o be z(4). Let l be 145/7 + o/(-35). Solve 5*u - a + 27 = -0*u, -3*a + l = -3*u for u.
-5
Let i be 90/8 - (-2)/(-8). Suppose 0*k = -3*k + 9. Let d(v) = v**3 - 27*v**2 - 27*v - 25. Let z be d(28). Solve -k = 4*r + z*n - i, -5*n = 0 for r.
2
Suppose 167 = 5*r + 27. Suppose b - 2*x = -2*b + 64, -b - 4*x - 2 = 0. Let v = 20 - b. Solve 8*q - 4*q + 24 = -i, v*i + 4*q = -r for i.
-4
Suppose -16*i + 46*i - 9*i - 189 = 0. Suppose 3*c = d + 4, 0*c = -2*d - 4*c - 8. Let y = d - -7. Solve 3*u - 5*u + 11 = -3*q, -i = y*q for u.
1
Suppose -4*s + 3 = -5. Suppose 0 = -9*l + 19 + 17. Solve s*b + 2 + 0 = 0, 0 = -4*z - l*b + 4 for z.
2
Let l = 27 - 20. Suppose l*g + 3 = 17. Solve d + 1 = 3*x, 0 = 4*x + x - g*d - 1 for x.
1
Let h = 10 + -5. Suppose -2*r + 7*r = -h*b + 100, -2*b = -8. Let x be (-4)/r - 159/(-12). Solve -4*c = 3*t + x, -t + 0*c = 5*c + 19 for t.
1
Let v = 21 - 17. Suppose v*n = -12*n. Solve -3*u = 3*x - 15, -4*x - 3*u + 24 - 8 = n for x.
1
Let z(b) = -b**2 - 9*b + 56. Let m be z(-14). Let n be (4 - (-6)/(-12))*(-12)/m. Solve -l - h + 5 = h, -n*h + 3 = 3*l for l.
-3
Let h be (176/24 + -5)*9. Suppose h = 12*c - 63. Solve d + 4*z - 5 = 0, -4*d - 2*z - 15 = -c*d for d.
5
Let s be (-7)/2*(4/12 - (-50)/(-42)). Solve -u - s*z - 4 = 0, -3*u + 2*z - 5*z - 6 = 0 for u.
-1
Let x(a) = a**3 + 32*a**2 - 94*a - 6. Let l be x(3). Solve -5*m - l = -u + 1, 2*u - 2*m - 16 = 0 for u.
3
Suppose 2*o - 155 = -5*y, 18 = 2*o + 28. Solve 12*h + 2*m = 16*h + 24, 4*m - y = 5*h for h.
-5
Let u be -4*(-3)/(-1 + 4). Let i = 94 - 78. Solve u*f = i, 0 = -4*t - 2*f - 0 - 12 for t.
-5
Suppose -2*r = 2*o - 98, 0 = 5*o + 3*r - 4*r - 245. Suppose -72 = -67*n + o*n. Solve 0 = -4*q + i + 8, i = -4*q + n*i + 16 for q.
1
Let t be (33/(-6))/((-3)/12). Suppose t*l = 19*l + 12. Solve -2 = 2*q - 3*m, l*q = -5*m - 5 + 23 for q.
2
Let q(n) = n**2 - 3*n + 3. Suppose t = x + 4, 2*x + 6 = 3*t - 5. Let a be q(t). Suppose 0 = 48*j - 99 + 3. Solve c + j*y + a = 0, 0*y - 3*y - 32 = -4*c for c.
5
Let j(p) = -12*p - 307. Let o be j(-26). Solve -3*s = 4*b - 25 + o, 5*s + 10 = 2*b for b.
5
Let f be 2*9 - (-34 - -9)/(-5). Suppose -2*a - 3*k = -f, 2*k = -4*a + 22 - 8. Solve 5 = -a*y - 5*s - 5, -y = -4*s + 5 for y.
-5
Let s = -20505 - -20512. Solve -2*x - 8 = 4*c, -4*c = -5*x + s + 15 for c.
-3
Let d be (-13)/52*0*(3 + (-13)/4). Solve s + 5*m + 4 = 0, 0 = 4*m - d + 4 for s.
1
Suppose -2*r = -w + 10 - 8, 5*r = -3*w + 6. Solve 17 = 5*s + 4*t, r = -4*s + 3*t - 14 + 9 for s.
1
Let p be 2 - (-4 + 2 + 4) - -8. Let h(g) = -3*g**2 + 25*g - 8. Let w be h(p). Solve w*a = a - n, 5*n = 0 for a.
0
Suppose 1 = 3*q + 57*s - 58*s - 5, 0 = -4*s. Solve -2 = 2*d, -36 = 2*w - q*d - 30 for w.
-4
Let j(o) = -3*o**2 + 24*o - 27. Let y be j(9). Let l be ((-24)/y)/((-14)/(-63)). Solve -l*m - 8 - 2 = -2*v, v = -4*m - 5 for v.
3
Let w = -1143 + 318. Let l be 12/32 + w/(-40). Solve 3*m + l = 3*s, -4*m - 14 = -3*s + 9 for m.
-2
Let q be 188/(-28) + (-14)/49 + 10. Solve -q*r = -5*f + 31, 3*r = -3*f - 2*r + 5 for f.
5
Let l(m) be the first derivative of -m**4/4 - 7*m**3/3 - 7*m**2/2 - 2*m + 55. Let u be l(-6). Solve h = -2*g + 4, u*h - 3*g + 17 = -0*g for h.
-2
Let r(d) = -12*d. Let g be r(-1). Suppose -4*t + 16*t = -g. Let n be (((-3)/(-6))/t)/(1/(-2)). Solve -2*i + n - 11 = -2*w, -4*w = -2*i - 20 for w.
5
Let q(k) = k**2 - 3*k - 11. Let i be q(5). Let d be 0 + -3 + 3*(-3)/i. Let t(u) = -4*u + 29. Let a be t(d). Solve 2*j + 12 = 5*s, a*s = -j - 2*j + 32 for s.
4
Let g be (35/70)/(1/28*2). Let l(u) = -u**2 + 8*u - 5. Let p be l(g). Solve 20 = -4*t + 5*q, -p*q - 5 = t - 0*q for t.
-5
Suppose -19*f = 3*f + 132. Let u be 11 - ((-1)/f - 6/36). Solve 0*a - 5*a = -5*x + 5, 0 = -3*x - 4*a - u for x.
-1
Suppose 3*f + 3 - 7 = -4*j, 0 = 2*f + 8. Suppose -4*i = -2*n + 6*n - 932, -2*n = -5*i - 473. Let g = 252 - n. Solve g = j*o + w, 0*w + 2*w = o for o.
4
Suppose 4*v - 3*v = 0, 5*v = 3*k + 12. Let r be (k/(-18))/(5/45). Solve -2*z + 6 = -5*h - 4, r*z = 4*h + 10 for h.
0
Suppose 4*x - 4 - 56 = 0. Suppose 5*z - 3*u - 24 = 0, 0*z - 2*z + 3*u = -x. Let f = 144285 + -144280. Solve z = -2*a + f*b, 0*a = 4*a + 2*b + 18 for a.
-4
Suppose -30*l + 336 = -27*l. Let v be (-116 + l)*(3/2 - 2). Solve -2*b = -2*j, -4*b + v*j + 30 = 4*j for b.
5
Suppose 47 + 123 = 26*p - 64. Solve 6*o - 5*m + p = 2*o, 3*m - 3 = 0 for o.
-1
Suppose -87*v + 84*v + 7 = 2*g, -4*v = 3*g - 8. Solve 3*c = -4*n - v, 3 = -3*n + c - 17 for n.
-5
Suppose 5*f = -3*c + 7*f + 26, 8 = -2*f. Solve -4*w - 3*s - 1 = 0, -4*w = -4*s + c + 30 for w.
-4
Suppose -15*o + 44*o = -127*o + 780. Solve -3*c = -y + 3, 0 = -36*c + 31*c + y - o for c.
-1
Suppose -63 = -4*h + 124 + 9. Solve -h*b = -48*b - 5*p - 22, -5*p = 25 for b.
-3
Let x be 12/6 - ((-152)/20 - (-9)/15). Let q(n) = 7*n**2. Let s be q(-1). Suppose s*k + 4 = x*k. Solve -r - 9 = k*b, -4*r + 4 = -0 for b.
-5
Let r be 136/17 + 2/(-6)*-3. Solve -2*y - 2*n = r - 13, -5*y + 40 = -5*n for y.
5
Suppose -9*p = -4*j - 0 + 72, 4*j + 4*p = 20. Solve 0 = -4*m - 4, -3*m - 4 = -5*y + j for y.
2
Let h be 3/2*(-4)/(-2). Suppose 40*u + 10*w = 8*w - 26, -w - 13 = -5*u. Solve h*o = -3*p + 6*o - 15, 4*o = u for p.
-5
Let j(x) = -4*x. Let r be j(1). Let h be (-17)/r + (-4)/16. Suppose 922*b - 2263 - 503 = 0. Solve -7 = h*i - m, -i - m - 9 = b*i for i.
-2
Let v be 72/(-12 - -6) - -14. Solve 0 = v*y + 2*y - 3*a - 39, -4*y - a = -19 for y.
6
Let p = -4 - -36. Let v = 44 - p. Let w be (-3)/(v/(-32)) + 3. Solve 5*c = -2*d - 14 - 12, d = -2*c - w for c.
-4
Let b be 40/(-15) + (-1)/3 + 1. Let m be 12/(-10)*((b - 0) + -3). Solve -3*o = m, -o + 0*o = j + 6 for j.
-4
Let h(d) = -15*d - 1. Let l be h(-2). Suppose -620 + 573 = -z + 3*a, 5*z - 137 = a. Let m = l - z. Solve t = m*q - 5 - 2, -t - 6 = -2*q for t.
-4
Let p(g) = 8*g**2 - 13*g + 1. Let s be p(4). Suppose -3*d - 13 = s. Let f be 1*(-3 + d/(-5)). Solve -4*l = 4*r - 32, 2 = 5*l - 2*r - f for l.
3
Suppose 0 = 474*p - 450*p. Solve -3*y + 5*r = -5 + 34, p = 2*y - 4*r + 22 for y.
|
{
"pile_set_name": "DM Mathematics"
}
|
2 is divided by 44?
32
Calculate the remainder when 3214 is divided by 100.
14
Calculate the remainder when 6596 is divided by 2161.
113
Calculate the remainder when 41226 is divided by 67.
21
Calculate the remainder when 89270 is divided by 17.
3
Calculate the remainder when 5385573 is divided by 949.
947
Calculate the remainder when 1308635 is divided by 3625.
10
Calculate the remainder when 105726 is divided by 11.
5
Calculate the remainder when 1385567 is divided by 204.
203
What is the remainder when 3544 is divided by 155?
134
Calculate the remainder when 1659126 is divided by 71.
69
Calculate the remainder when 36053 is divided by 84.
17
What is the remainder when 25319 is divided by 42?
35
Calculate the remainder when 79735 is divided by 4196.
11
What is the remainder when 36201 is divided by 101?
43
Calculate the remainder when 23307 is divided by 1665.
1662
Calculate the remainder when 124699 is divided by 1417.
3
What is the remainder when 7787 is divided by 905?
547
Calculate the remainder when 154411 is divided by 30880.
11
Calculate the remainder when 1707 is divided by 55.
2
Calculate the remainder when 5199 is divided by 1415.
954
What is the remainder when 352742 is divided by 59?
40
What is the remainder when 8584 is divided by 774?
70
What is the remainder when 4126 is divided by 51?
46
Calculate the remainder when 3314 is divided by 27.
20
What is the remainder when 44795 is divided by 26?
23
What is the remainder when 1152 is divided by 428?
296
What is the remainder when 394177 is divided by 177?
175
What is the remainder when 34917 is divided by 26?
25
Calculate the remainder when 144818 is divided by 243.
233
What is the remainder when 803422 is divided by 35?
32
Calculate the remainder when 14877 is divided by 14618.
259
Calculate the remainder when 2379 is divided by 10.
9
What is the remainder when 11591 is divided by 67?
0
What is the remainder when 28367 is divided by 3055?
872
Calculate the remainder when 591717 is divided by 30.
27
Calculate the remainder when 673 is divided by 609.
64
Calculate the remainder when 4914 is divided by 1227.
6
What is the remainder when 4054 is divided by 71?
7
What is the remainder when 83223 is divided by 544?
535
What is the remainder when 136988 is divided by 491?
490
What is the remainder when 15925 is divided by 617?
500
What is the remainder when 2771610 is divided by 13?
10
Calculate the remainder when 3779 is divided by 3158.
621
What is the remainder when 130579 is divided by 1655?
1489
What is the remainder when 13747 is divided by 35?
27
Calculate the remainder when 95614 is divided by 1646.
146
Calculate the remainder when 2913934 is divided by 136.
134
Calculate the remainder when 268188 is divided by 134088.
12
What is the remainder when 8244 is divided by 2057?
16
What is the remainder when 1415 is divided by 32?
7
Calculate the remainder when 28428 is divided by 570.
498
What is the remainder when 4342 is divided by 1080?
22
Calculate the remainder when 27588 is divided by 62.
60
What is the remainder when 37916 is divided by 3157?
32
What is the remainder when 343293 is divided by 288?
285
What is the remainder when 656268 is divided by 33?
30
What is the remainder when 2690 is divided by 265?
40
What is the remainder when 22379 is divided by 5593?
7
Calculate the remainder when 96132 is divided by 2.
0
Calculate the remainder when 233221 is divided by 123.
13
What is the remainder when 6491 is divided by 32?
27
Calculate the remainder when 33834 is divided by 230.
24
Calculate the remainder when 1826374 is divided by 5.
4
Calculate the remainder when 7398 is divided by 137.
0
Calculate the remainder when 9262 is divided by 2903.
553
What is the remainder when 152921 is divided by 331?
330
Calculate the remainder when 10064 is divided by 1139.
952
Calculate the remainder when 15930 is divided by 250.
180
What is the remainder when 107760 is divided by 58?
54
What is the remainder when 6613 is divided by 3077?
459
What is the remainder when 7197 is divided by 279?
222
What is the remainder when 382573 is divided by 72?
37
Calculate the remainder when 4733 is divided by 1573.
14
What is the remainder when 45947 is divided by 275?
22
Calculate the remainder when 32331 is divided by 874.
867
Calculate the remainder when 7677 is divided by 2390.
507
What is the remainder when 16147 is divided by 702?
1
Calculate the remainder when 627 is divided by 615.
12
Calculate the remainder when 962 is divided by 55.
27
Calculate the remainder when 2497706 is divided by 15.
11
What is the remainder when 28802 is divided by 27?
20
Calculate the remainder when 698 is divided by 106.
62
What is the remainder when 295353 is divided by 42187?
44
What is the remainder when 2998 is divided by 721?
114
Calculate the remainder when 33634 is divided by 27.
19
What is the remainder when 69965 is divided by 1164?
125
What is the remainder when 3457 is divided by 13?
12
What is the remainder when 62357 is divided by 103?
42
What is the remainder when 2688 is divided by 518?
98
Calculate the remainder when 106583 is divided by 81.
68
What is the remainder when 51532 is divided by 146?
140
Calculate the remainder when 14264 is divided by 528.
8
What is the remainder when 17983 is divided by 84?
7
What is the remainder when 120790 is divided by 89?
17
What is the remainder when 1265 is divided by 119?
75
What is the remainder when 401532 is divided by 32?
28
Calculate the remainder when 5513 is divided by 459.
5
What is the remainder when 481 is divided by 443?
38
Calculate the remainder when 20475 is divided by 64.
59
Calculate the remainder when 5850 is divided by 417.
12
What is the remainder when 39159 is divided by 366?
363
What is the remainder when 819696 is divided by 38?
36
Calculate the remainder when 189001 is divided by 217.
211
What is the remainder when 23949 is divided by 979?
453
Calculate the remainder when 8998 is divided by 1005.
958
What is the remainder when 5317 is divided by 280?
277
Calculate the remainder when 1983 is divided by 276.
51
Calculate the remainder when 6158 is divided by 3069.
20
Calculate the remainder when 36379 is divided by 77.
35
What is the remainder when 585777 is divided by 1502?
1499
Calculate the remainder when 39829 is divided by 13273.
10
Calculate the remainder when 791 is divided by 436.
355
What is the remainder when 5337 is divided by 1658?
363
Calculate the remainder when 1388001 is divided by 46.
43
What is the remainder when 12795 is divided by 7?
6
What is the remainder when 143634 is divided by 47875?
9
What is the remainder when 84445 is divided by 377?
374
Calculate the remainder when 2845 is divided by 37.
33
Calculate the remainder when 37586 is divided by 12487.
125
Calculate the remainder when 2564005 is divided by 578.
575
What is the remainder when 30621 is divided by 709?
134
Calculate the remainder when 63208 is divided by 31.
30
What is the remainder when 45681 is divided by 182?
181
What is the remainder when 37191 is divided by 6194?
27
Calculate the remainder when 1039 is divided by 263.
250
What is the remainder when 1873 is divided by 492?
397
Calculate the remainder when 22875 is divided by 374.
61
What is the remainder when 422352 is divided by 111?
108
What is the remainder when 10208 is divided by 329?
9
Calculate the remainder when 88399 is divided by 240.
79
What is the remainder when 568308 is divided by 8?
4
Calculate the remainder when 16765 is divided by 799.
785
What is the remainder when 888815 is divided by 2?
1
What is the remainder when 119546 is divided by 243?
233
Calculate the remainder when 2323439 is divided by 280.
279
Calculate the remainder when 5119 is divided by 107.
90
What is the remainder when 6425 is divided by 1035?
215
Calculate the remainder when 92515 is divided by 15418.
7
Calculate the remainder when 38242 is divided by 12553.
583
Calculate the remainder when 7658 is divided by 1716.
794
Calculate the remainder when 85508 is divided by 9.
8
What is the remainder when 34177 is divided by 132?
121
What is the remainder when 25435 is divided by 389?
150
Calculate the remainder when 9334 is divided by 389.
387
What is the remainder when 63615 is divided by 2761?
112
What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
5, e: 8, d: 5}. Give prob of sequence dwe.
25/612
Calculate prob of sequence kkrr when four letters picked without replacement from {r: 3, k: 11}.
5/182
What is prob of sequence ddaf when four letters picked without replacement from dfydyfaaf?
1/252
Two letters picked without replacement from {k: 2, p: 9}. Give prob of sequence kk.
1/55
What is prob of sequence wur when three letters picked without replacement from wwrwwruwuww?
14/495
Three letters picked without replacement from rtrrpzcttprc. Give prob of sequence czc.
1/660
Three letters picked without replacement from mkmwezkbkbebbebbwb. What is prob of sequence bee?
7/816
Two letters picked without replacement from {y: 1, k: 5, g: 5, j: 6}. What is prob of sequence jg?
15/136
What is prob of sequence hz when two letters picked without replacement from qmqzhqkqqh?
1/45
Three letters picked without replacement from {x: 3, m: 3}. What is prob of sequence xmx?
3/20
Three letters picked without replacement from {l: 1, n: 2, i: 5, p: 1, d: 1}. What is prob of sequence pnl?
1/360
Two letters picked without replacement from {k: 4, n: 1, e: 3, a: 2, w: 4}. Give prob of sequence nk.
2/91
What is prob of sequence mb when two letters picked without replacement from wrrbmbrrbpbbb?
1/26
Calculate prob of sequence gi when two letters picked without replacement from iqigjjfiqj.
1/30
Three letters picked without replacement from {f: 4, c: 4, s: 2, x: 2}. What is prob of sequence cfx?
4/165
Two letters picked without replacement from {o: 5, j: 2, e: 6}. What is prob of sequence oj?
5/78
Three letters picked without replacement from {g: 1, z: 1, i: 3, e: 1, t: 1}. Give prob of sequence zii.
1/35
Four letters picked without replacement from {z: 1, c: 1, l: 1, n: 2}. Give prob of sequence zlzn.
0
Three letters picked without replacement from {h: 2, t: 1, d: 1, g: 2, f: 2}. Give prob of sequence ggd.
1/168
Calculate prob of sequence rd when two letters picked without replacement from {r: 2, x: 2, d: 1}.
1/10
Four letters picked without replacement from zxehhthzxfex. Give prob of sequence fthh.
1/1980
Three letters picked without replacement from {y: 1, n: 1, v: 7, i: 2, b: 7}. What is prob of sequence nbb?
7/816
Two letters picked without replacement from {z: 7, q: 1, t: 4, b: 8}. Give prob of sequence bt.
8/95
What is prob of sequence rrr when three letters picked without replacement from {y: 1, r: 3, g: 1}?
1/10
What is prob of sequence xsmx when four letters picked without replacement from uxuxuuxuuxsxmuumggg?
5/11628
Calculate prob of sequence zz when two letters picked without replacement from ttyttzzyz.
1/12
Calculate prob of sequence pipo when four letters picked without replacement from {i: 2, o: 10, p: 3}.
1/273
Calculate prob of sequence jee when three letters picked without replacement from {e: 2, t: 2, j: 2, a: 3}.
1/126
Three letters picked without replacement from {i: 1, z: 2, w: 1, k: 1}. What is prob of sequence zzw?
1/30
Calculate prob of sequence xgwx when four letters picked without replacement from {d: 1, g: 2, x: 4, w: 3}.
1/70
Two letters picked without replacement from tdtdtdjddddtdtt. Give prob of sequence tj.
1/35
Three letters picked without replacement from {g: 2, b: 2, q: 1, s: 1}. What is prob of sequence gsb?
1/30
What is prob of sequence ggg when three letters picked without replacement from {f: 1, j: 1, g: 1}?
0
Two letters picked without replacement from {w: 2, e: 2, x: 8}. What is prob of sequence we?
1/33
Two letters picked without replacement from {o: 5, z: 13}. What is prob of sequence oo?
10/153
Calculate prob of sequence lv when two letters picked without replacement from {v: 4, l: 2, f: 4}.
4/45
Two letters picked without replacement from ovoo. Give prob of sequence vo.
1/4
Two letters picked without replacement from {s: 3, w: 10, t: 4, a: 1}. What is prob of sequence aw?
5/153
Three letters picked without replacement from ssttstttttt. What is prob of sequence sst?
8/165
Two letters picked without replacement from {g: 2, i: 1, e: 1, a: 1, x: 5}. Give prob of sequence xi.
1/18
Four letters picked without replacement from {y: 5, q: 1, a: 1, r: 3}. What is prob of sequence ayrq?
1/336
Two letters picked without replacement from bhibvvbvbb. Give prob of sequence bv.
1/6
Calculate prob of sequence bbv when three letters picked without replacement from qvnnqnqbbfbqbnnq.
1/280
Calculate prob of sequence fccc when four letters picked without replacement from cccccccfcfccfc.
45/364
What is prob of sequence ggg when three letters picked without replacement from cggcccccccgcqcgcgqcc?
1/114
What is prob of sequence mm when two letters picked without replacement from {q: 2, m: 4}?
2/5
Three letters picked without replacement from rnrungrnngrnnrmgnrn. Give prob of sequence gug.
1/969
Four letters picked without replacement from hhxhqxqdhdq. Give prob of sequence qdqd.
1/660
Three letters picked without replacement from {f: 2, h: 4, p: 1, g: 1, v: 2}. What is prob of sequence pvv?
1/360
Four letters picked without replacement from {c: 4, w: 1, h: 3, o: 1, x: 6, b: 1}. Give prob of sequence chxw.
3/1820
Three letters picked without replacement from {w: 4, b: 4, g: 3, h: 1, n: 2}. What is prob of sequence bng?
1/91
What is prob of sequence by when two letters picked without replacement from byj?
1/6
Two letters picked without replacement from {s: 1, x: 4, u: 2, l: 2}. What is prob of sequence ll?
1/36
Three letters picked without replacement from {j: 3, e: 7}. What is prob of sequence jje?
7/120
What is prob of sequence ggee when four letters picked without replacement from ggggegggegg?
1/55
Calculate prob of sequence pjp when three letters picked without replacement from xxxxxppxipxjxx.
1/364
Two letters picked without replacement from {t: 1, q: 3, p: 6, z: 1, b: 1, a: 1}. Give prob of sequence pb.
1/26
Calculate prob of sequence ow when two letters picked without replacement from {o: 2, j: 1, w: 1, y: 2, z: 1}.
1/21
Three letters picked without replacement from {p: 2, l: 2, k: 7}. What is prob of sequence pkp?
7/495
Three letters picked without replacement from {t: 1, r: 1, f: 2}. What is prob of sequence rtr?
0
Four letters picked without replacement from vvvvvvvvvvvvoovvvvv. Give prob of sequence vovo.
1/171
Calculate prob of sequence zz when two letters picked without replacement from nnnnnzzznzznzznznnz.
4/19
Calculate prob of sequence ol when two letters picked without replacement from pilrlrorllripllr.
1/40
Three letters picked without replacement from {z: 2, l: 3, t: 1, r: 2, n: 3, h: 1}. Give prob of sequence nnr.
1/110
Calculate prob of sequence ccm when three letters picked without replacement from rcmrcrrrrrmrrrrrrrrc.
1/570
Four letters picked without replacement from kkbko. Give prob of sequence okbk.
1/20
What is prob of sequence xx when two letters picked without replacement from ixiiiiixvivi?
1/66
Four letters picked without replacement from {x: 2, p: 16}. Give prob of sequence pxpx.
1/153
Two letters picked without replacement from {u: 2, b: 7, r: 2}. What is prob of sequence ur?
2/55
What is prob of sequence ws when two letters picked without replacement from {w: 1, c: 1, s: 2, k: 1, q: 1, l: 1}?
1/21
Three letters picked without replacement from {q: 1, x: 7, g: 5}. What is prob of sequence ggq?
5/429
Calculate prob of sequence mm when two letters picked without replacement from {z: 3, j: 1, m: 5}.
5/18
Three letters picked without replacement from puwpwxwxwu. Give prob of sequence upx.
1/90
Calculate prob of sequence znq when three letters picked without replacement from {y: 2, z: 1, q: 1, n: 1}.
1/60
Two letters picked without replacement from {v: 2, j: 2, a: 1, f: 1}. What is prob of sequence av?
1/15
Three letters picked without replacement from {l: 3, c: 6, b: 1, f: 5, q: 5}. Give prob of sequence qlq.
1/114
What is prob of sequence aa when two letters picked without replacement from aahhaaaaahaabhhaha?
55/153
Three letters picked without replacement from {k: 5, z: 2, l: 8}. Give prob of sequence klz.
8/273
Calculate prob of sequence vxo when three letters picked without replacement from uuuvcovvxvc.
2/495
Calculate prob of sequence fi when two letters picked without replacement from {f: 4, n: 5, i: 2}.
4/55
Three letters picked without replacement from {f: 1
|
{
"pile_set_name": "DM Mathematics"
}
|
6000
Let o = -0.22 - -0.2. Let q = 0.288 + -0.26824. Let b = o + q. Round b to 4 dps.
-0.0002
Let q = -100.8 - -125. Round q to the nearest ten.
20
Suppose -3 = 5*a + w, 2*w - 6 = -5*a + 4*w. Suppose 0 = -a*h - h + 11000. What is h rounded to the nearest 10000?
10000
Let f be ((-250)/(-3))/((-4)/(-3504)). What is f rounded to the nearest ten thousand?
70000
Let q = -213 - -58. Let t = q - -259. Let n = -104.079 + t. What is n rounded to two dps?
-0.08
Let o = -24 - 4. Suppose -192 + 42 = -3*d. Let b be (o/(-5))/((-1)/d). What is b rounded to the nearest 100?
-300
Let w be 14/4*(0 - -2). Let d = w - 3. Suppose -f - 3*i = f - 45988, f = d*i + 23016. Round f to the nearest ten thousand.
20000
Let l = -50896 + -3804. What is l rounded to the nearest 10000?
-50000
Let q = 17563 + -9790. Suppose 2*n - q - 104227 = 0. What is n rounded to the nearest ten thousand?
60000
Let l(j) = 292785*j - 141265*j + 53407*j + 506185*j + 8. Let w be l(-9). Round w to the nearest one million.
-6000000
Let w = 59583.0090078 + -59583. Let x = w + -0.009. Round x to six dps.
0.000008
Suppose 2586972 = b - 1334561. Let l = b - 6921533. Round l to the nearest 1000000.
-3000000
Let i = 45.99999909 + -46. Round i to seven dps.
-0.0000009
Let q = 0.8 + -0.772. Let c = 0.014 + q. Round c to two dps.
0.04
Let w = -0.062 - -36.062. Let n = 43.568991 + -79.569037. Let t = w + n. What is t rounded to 5 decimal places?
-0.00005
Let v = 13 - 8.2. Let u = 5 - v. Let k = u - 3.6. What is k rounded to 0 decimal places?
-3
Suppose -66867 = -2*t + 179515. Suppose t = -4*d - 196809. What is d rounded to the nearest one hundred thousand?
-100000
Let i = 0.281 + -0.26. Let w = -0.094 - i. Let j = 0.705 + w. What is j rounded to 1 decimal place?
0.6
Let f = -471212 - -241039. Let n = f + 139173. What is n rounded to the nearest ten thousand?
-90000
Let k(z) = -7*z**3 + 5*z**2 - 13*z - 5. Let u be k(-9). Let l = 820 - u. What is l rounded to the nearest one thousand?
-5000
Let v = -1.86563 - -1.87. Round v to three dps.
0.004
Let z be ((-10880)/3)/(2/(-750)). What is z rounded to the nearest one hundred thousand?
1400000
Suppose 3*w = 7*w. Suppose -4*m - 3 - 13 = -2*j, 4*j - 5*m - 26 = w. Suppose 5694 = j*y - 5906. What is y rounded to the nearest one thousand?
3000
Suppose 2*s = 2*y + 5939998, s + 2177738 = -2*y - 3762263. What is y rounded to the nearest one hundred thousand?
-3000000
Suppose 0*n + 10000 = n. Suppose 2*b - 3*b = n. Round b to the nearest one hundred thousand.
0
Let d = -0.03 - -0.33. Let w = -434.84009 + 434.54. Let i = d + w. What is i rounded to five decimal places?
-0.00009
Let s(x) = 4481*x**3 - x**2 - 4. Let b be 6/9 - (-44)/(-12). Let g be s(b). What is g rounded to the nearest ten thousand?
-120000
Let j(u) = u**3 + 4*u**2 - 5*u + 2. Let d be j(-5). Suppose 0 = d*q + q + 567. Let s = 67 + q. What is s rounded to the nearest 10?
-120
Suppose -4*j + 3*j - 180 = 0. What is j rounded to the nearest 100?
-200
Let y = 2.3 + -5.7. Let r = -4 - y. Round r to 1 dp.
-0.6
Let h = 3852766 + -3852759.00000032. Let q = h + -7. What is q rounded to seven dps?
-0.0000003
Let y = -1.98 + -1.53. Let o = y + 3.50999781. Round o to seven dps.
-0.0000022
Let s(k) = 2*k**3 - 4*k**2 - 6*k + 5. Let w be s(4). Let i = -455 - w. Round i to the nearest one thousand.
-1000
Let d = -23.005 - -23. What is d rounded to two decimal places?
-0.01
Let p = 7.930419 - 7.93. What is p rounded to 5 decimal places?
0.00042
Let o = 6.944 + -7. Let q = 72.056 + o. Let l = q - 72.0000039. Round l to 6 dps.
-0.000004
Let a = 340 - 176. Suppose -a = -4*n + 1116. Round n to the nearest one hundred.
300
Let o(h) = 227275*h**3 - 2*h**2 + 3*h + 4. Let c be o(3). Suppose -5075019 - 4242881 = -5*w. Suppose -w = -5*d + c. Round d to the nearest 1000000.
2000000
Let b(r) = r**2 - r - 4. Let w be b(3). Let x(n) = -1287*n**3 - n**2 + n - 2. Let v be x(w). Round v to the nearest one thousand.
-10000
Let u = -2118 - -2258.29. Let y = -141 + u. Let z = y - -0.3. Round z to 1 decimal place.
-0.4
Let p = -2.5345 + -43.5035. Let b = p + 46. Let h = b + 0.038122. What is h rounded to five dps?
0.00012
Let f = -143354 + 75354. What is f rounded to the nearest 10000?
-70000
Let g be ((-2)/(-5))/((-4)/40). Let i be (-199995)/(-10) + (-2)/g. Round i to the nearest ten thousand.
20000
Let f = 17852453 - 8538675. Let x = f - 1713778. What is x rounded to the nearest one million?
8000000
Let q = -0.6 - 0.65. Let j = q - 50.75. Let m = j + 56.8. Round m to the nearest integer.
5
Let u = -6 - 0. Let w = u + 6.0009. What is w rounded to three decimal places?
0.001
Let z be -2*3/(-6)*-7. What is z rounded to the nearest integer?
-7
Let a = -6 - -5.984. Let y = a + 0.0160184. What is y rounded to six decimal places?
0.000018
Let f = 0.02 + -15.02. Let v = f - -14.3. Let t = v + 0.72. Round t to 2 decimal places.
0.02
Let d = 0.052 + 3.648. Round d to zero decimal places.
4
Let f = -70.99937 + 71. Round f to 4 decimal places.
0.0006
Let t = -33 - -48. Let l be (-58 + 1)*(-50)/t. Round l to the nearest one hundred.
200
Let r be (18050 + 2 - -1) + -1. Let y = r + -28552. Round y to the nearest one thousand.
-11000
Let j be (25000/75)/((-2)/4140). Round j to the nearest 100000.
-700000
Let t = 3.22 + -2.8. Round t to 1 dp.
0.4
Suppose -5*x = f + 321975, -4*f + 3*x - 1288005 = 2*x. Round f to the nearest ten thousand.
-320000
Let p = -0.2 - 0.3. Let b = -0.4 - p. Let v = b - 5.8. Round v to the nearest integer.
-6
Suppose -d = -5*i + 7 + 17, -3*i + 2*d = -13. Let s(l) = 2 - 7 - 11068*l - 6931*l. Let r be s(i). Round r to the nearest 100000.
-100000
Let y be (-6)/(-33) - (-5280002)/(-11). Round y to the nearest one hundred thousand.
-500000
Let v = 13139 + 1552. Suppose -o + 31297 = -v. Suppose 2*z - 23058 = -h + 22948, 4*z + o = h. What is h rounded to the nearest ten thousand?
50000
Suppose 0 = -0*h + h. Suppose -5*t + 4*k = -26797 + 8667, k = h. Suppose 0 = -3*r - t + 19826. What is r rounded to the nearest 1000?
5000
Suppose h - 4*h + 5*n + 30620 = 0, -2*h = -5*n - 20420. Suppose -21*p + h = -19*p. What is p rounded to the nearest one thousand?
5000
Let w = -3.61 - 25.29. Let o = -20 + -6. Let a = w - o. What is a rounded to 0 dps?
-3
Suppose -g + 32707 = -3*j + 1682708, 3*j - 1649997 = -3*g. Round j to the nearest 100000.
600000
Let h = 1.3 - -1.28. Round h to 1 decimal place.
2.6
Let j = 15 - 26. Let h = -48.6 + 59.619. Let i = j + h. What is i rounded to 2 decimal places?
0.02
Let p(i) = 6*i**3 - 1. Let r be p(1). Suppose -5*o - 402006 = -v + 413089, -1630165 = -2*v + r*o. Suppose 4*l - 1584930 = v. Round l to the nearest 1000000.
1000000
Let f = -20982593511204208 - -20982593744159384.30000029. Let h = f + -232955174. Let g = 2.3 - h. What is g rounded to seven dps?
-0.0000003
Let t = -25 - -35.78. Let j = t - 0.68. Let g = -10.09899 + j. Round g to 4 decimal places.
0.001
Let x be 2/(-3) + 1448/(-6). Let b = 682 + x. What is b rounded to the nearest 100?
400
Let r be 6/24*-3 - (-9606)/8. What is r rounded to the nearest one hundred?
1200
Let d(i) = i + 7. Let p be d(0). Let v be (-4)/(-6) - p/(-3). Suppose -v*z + 16101 + 583899 = 0. What is z rounded to the nearest one million?
0
Let c = 0.0363 + 2.7537. Round c to 1 decimal place.
2.8
Let o(l) be the second derivative of -2101*l**4/12 + 5*l**3/3 - 7*l. Let d be o(10). Round d to the nearest 100000.
-200000
Suppose 5*j + 10 = -0*j. Let w be (-21250)/(2*j/(-1280)). Round w to the nearest one million.
-7000000
Let q(d) = 7*d**3 - 13*d**2 - 3*d - 1. Let m be q(-9). Round m to the nearest one thousand.
-6000
Let d = -352111 - -107111. Round d to the nearest one hundred thousand.
-200000
Let k = -26 + 25.999997. What is k rounded to five decimal places?
0
Let x = -155 + 155.000101. Round x to five dps.
0.0001
Let t = -7 - -7.6. Let x = 11 - 11.5. Let c = t + x. Round c to 1 dp.
0.1
Suppose -2*w + 8250 + 21347 = 3*v, 3*w + 4*v = 44396. What is w rounded to the nearest 1000?
15000
Let b = -0.005 + -0.01. Let g = 0.09 + -0.15. Let v = g - b. What is v rounded to two decimal places?
-0.05
Let t = -532663.899986 - -532663. Let v = t - -0.9. What is v rounded to five dps?
0.00001
Let n be -2 - (-1 - -55)/3. Let o be 8/n*1*5. Let i be o/7 - (-1680006)/21. Round i to the nearest 100000.
100
|
{
"pile_set_name": "DM Mathematics"
}
|
n(d) = 6*d - 120. Let h be n(20). Sort h, 42, -1, -4 in increasing order.
-4, -1, h, 42
Let f = -526 + 525. Put 22, f, 3/4, -1/3 in descending order.
22, 3/4, -1/3, f
Suppose 2*k - d - 8 = -5*d, -5*k + 2*d = 4. Sort k, 45, 3 in decreasing order.
45, 3, k
Suppose 5*i - 3 = -g, 336*i = -3*g + 335*i - 5. Suppose 5 = -o + 1, o = 3*s - 10. Put g, 1, -3, s in descending order.
s, 1, g, -3
Let s = 0.118 + 0. Let h = s + 1.882. Sort 1, h, 2/7, 0.1 in descending order.
h, 1, 2/7, 0.1
Let j = -367 + 367. Put -3, j, 1, -5 in ascending order.
-5, -3, j, 1
Let n = -614/119 + 78/17. Suppose -3*w - 19 = 53. Let i be w/16*(-3)/27. Sort -5, n, i in descending order.
i, n, -5
Let p = 0.007 + 39.993. Let d = 40.01 - p. Put d, 0.1, 4/5 in decreasing order.
4/5, 0.1, d
Suppose 8 = d + 2*w, 5*d + w - 5*w = 12. Suppose -s = 5*n + 23, -d - 2 = -2*s + 3*n. Sort s, 4, 11 in ascending order.
s, 4, 11
Let y be (-6)/(-20)*30/45. Put 3, y, 106 in decreasing order.
106, 3, y
Suppose -s - 55 = 2*h - 60, 2*h + 4*s - 2 = 0. Put 0, h, -6, -4 in ascending order.
-6, -4, 0, h
Let o(r) = -r**2 - 2*r + 8. Let y = -131 + 127. Let x be o(y). Put -2, -4, x, 7 in increasing order.
-4, -2, x, 7
Let o = -197 + 208.1. Let r = -12.04 + o. Let t = 0.06 - r. Sort 3, -5, t.
-5, t, 3
Let q(n) = n**3 + 7*n**2 + 9*n - 2. Let j be q(-5). Suppose -p - 3 = 0, -2*h = j*p + 1 - 18. Suppose -3*l - 2 = h. Put 0.3, 2/11, l in decreasing order.
0.3, 2/11, l
Let u(v) = -12*v - 62. Let l be u(-5). Put 0, l, 1 in ascending order.
l, 0, 1
Let n = -12 + 8. Let g = -0.05 - -0.06. Let y = -0.11 + g. Put 0.2, y, n in descending order.
0.2, y, n
Suppose n - 4*t = 20, -2*t = 5*n - 0*n + 10. Suppose -5*j + j - 8 = n. Put j, 1, -34 in decreasing order.
1, j, -34
Let w = 0.539 - -0.061. Let a = w + -1. Put a, -0.1, -2/3, 1 in descending order.
1, -0.1, a, -2/3
Let f = -1052/7 + 150. Suppose 32*k + 33 = 31*k. Let z be (-2)/(-8) + 2/(72/k). Sort f, z, 1 in descending order.
1, f, z
Let h be (-266)/(-8) - 21/(-28). Let n = h + -69/2. Let d(x) = x + 5. Let a be d(-7). Sort 1, a, n.
a, n, 1
Let p = 19.9 + -20. Let i = p - -1.2. Let o = i + -0.1. Put 3, -5, o in ascending order.
-5, o, 3
Suppose -16 = 5*x - 21, -2*q - 3*x = -7. Let n be 33/9 + (-3)/(-9). Put q, 37, 5, n in descending order.
37, 5, n, q
Suppose 13*g = y + 11*g - 1, -5*g + 11 = 2*y. Sort -5, y, -1, 4 in decreasing order.
4, y, -1, -5
Let p be 4 + (-2)/3*3. Let f = p + -5. Let h = 93 + -92. Sort f, -1, h.
f, -1, h
Let p = -185 - -187. Sort p, -20, 8 in decreasing order.
8, p, -20
Let a = 123/959 + 2/137. Sort 2, a, -5 in decreasing order.
2, a, -5
Let j = 4.2 + 0.8. Let g = -538 + 534. Sort -0.08, 3, g, j in descending order.
j, 3, -0.08, g
Let j be (-257)/(-14) + -2 - -1. Let t = j - 35/2. Let r be 20/(-16) + (-88)/(-64). Put r, -0.5, t in decreasing order.
r, t, -0.5
Let u = 1.88 + -0.28. Let v = u - -1.4. Put 1/4, -3, v in ascending order.
-3, 1/4, v
Suppose 105*q + 51 = -369. Put 68, 1, q in descending order.
68, 1, q
Suppose 49 = 13*v - 159. Put -2, v, 5, -1 in increasing order.
-2, -1, 5, v
Let o be ((-11)/2 + 7)*(-2)/3. Put 8, o, 8/17 in ascending order.
o, 8/17, 8
Let g = -104.6 - -105.6. Sort -0.02, g, -0.3 in descending order.
g, -0.02, -0.3
Let j = -284 - -289. Put j, -5, -2 in decreasing order.
j, -2, -5
Let r = -495 + 498. Sort 1, 6, 0, r in ascending order.
0, 1, r, 6
Suppose -9*d = -3*d - 18. Let s be 46/24 + d/9 + -3. Sort 0.6, 3, 0, s in increasing order.
s, 0, 0.6, 3
Suppose 2*s - 3 = -0*s - 3*y, -5*s = -5*y + 5. Suppose 0 = -5*x + 3*z + 40, s = -x + 2*z + 2*z + 25. Let f = x + -7. Put 2, 1, f in increasing order.
f, 1, 2
Suppose 8*z = -10*z - 54. Put 18, z, 2 in decreasing order.
18, 2, z
Suppose 919*b - 928*b = 18. Sort 0, 46, b, 1 in ascending order.
b, 0, 1, 46
Suppose 2*p = 8*p + 6. Suppose 8*y = -0*y. Sort -5, 5, y, p in increasing order.
-5, p, y, 5
Let o(d) = -2*d - 9. Let l be o(-5). Suppose -3*t = -8 - 7. Let p = 3 - t. Sort p, 4, l in descending order.
4, l, p
Let n = -126 + 632/5. Put n, -4/13, -0.5, 2/7 in descending order.
n, 2/7, -4/13, -0.5
Let k be (-3)/(-6)*(-8 - -11). Put 2/3, 0.2, k, 2/9 in decreasing order.
k, 2/3, 2/9, 0.2
Let n(w) = 2*w - 7. Let o be n(6). Let r(p) = -p**3 + 25*p**2 - 45*p - 25. Let l be r(23). Sort o, 1, l, 2 in increasing order.
l, 1, 2, o
Suppose 0 = -21*o + 257 - 173. Sort 0.02, -5/4, 4/7, o in ascending order.
-5/4, 0.02, 4/7, o
Let b = 464572 - 109638681/236. Let u = -4/59 + b. Sort 0.2, 5, u in ascending order.
0.2, u, 5
Let l = 71 + -75.2. Let t = -4.17 - l. Let w = -2 - -2. Put 0.2, w, t in descending order.
0.2, t, w
Suppose -3*x + 8*x = 30. Suppose 14*m = 12*m - x. Let i = -4 + 2. Put m, i, 3 in ascending order.
m, i, 3
Suppose -3*j - 13 = 2. Let h = -6150 + 6151. Sort h, j, -4, 5 in increasing order.
j, -4, h, 5
Suppose 0 + 3 = -c. Let g be (96/(-30))/(2/30*-2). Let y = g + -25. Put y, c, 2 in decreasing order.
2, y, c
Suppose -1 = 3*v + 5. Let q be 2/(-3 + 1)*v. Suppose 0*i = -3*i + 15. Sort -5, i, q.
-5, q, i
Let i(f) = 6*f**2 + 17*f + 9. Let x be i(-2). Sort 6, x, -4, 4 in descending order.
6, 4, x, -4
Suppose 5*w - 13*p + 15*p - 40 = 0, 0 = 2*w + 5*p - 37. Sort -4, -1, w in descending order.
w, -1, -4
Let j be 8/((-3840)/276) - (-2)/10. Sort j, 0.1, -4.
-4, j, 0.1
Let v(l) = -2*l**3 + 36*l**2 - 4*l + 73. Let p be v(18). Sort -1, p, 2, -25 in increasing order.
-25, -1, p, 2
Let z be -2*(-20)/30*-3. Sort 595, z, 2 in descending order.
595, 2, z
Let n be (8/(-44) + 0)/((-12)/11). Put 0.31, -4, 2/5, n in ascending order.
-4, n, 0.31, 2/5
Suppose -5*x + 4*x = 0. Let f be (15/6)/((-1)/(-2)). Suppose v + 8 = f*a - x*v, 4*v = 4*a. Sort a, 3/7, 3/8 in ascending order.
3/8, 3/7, a
Let j be 1/(1 + (-1 - (4 + -5))). Put -1, 8, -5, j in decreasing order.
8, j, -1, -5
Suppose 4*u = 2*u. Let x be -2 + -1 - 52/(-20). Let b = -0.11 + -0.39. Sort x, b, u.
b, x, u
Let s = -0.05 - -0.05. Let o(f) = f**3 - 4*f**2 - 3*f + 16. Let h be o(4). Sort h, -2/5, s in increasing order.
-2/5, s, h
Let k(l) = -30*l - 62. Let f be k(-2). Sort -58, f, 1 in decreasing order.
1, f, -58
Suppose -5*z = -2*i - 86, -4*z + z = -5*i - 63. Suppose 4*f = -z - 20. Let b be 2/2*9/f. Sort 5, b, 1 in descending order.
5, 1, b
Let d = -944 + 948. Let v = -5 + 5.1. Put v, d, -4, 0.04 in increasing order.
-4, 0.04, v, d
Let a = -285 + 286. Sort a, -19, -2/7 in increasing order.
-19, -2/7, a
Let s = 1023/1285 + 1/257. Put 0.3, -1, s, 0.01 in descending order.
s, 0.3, 0.01, -1
Let w(k) = -k**3 - 2*k**2 + 5*k - 5. Let l be w(2). Put l, -3, -4/5 in decreasing order.
-4/5, -3, l
Let p(n) = -n + 1. Suppose 2*v - 3*c + 9 = 0, 12 = -0*v + 4*v + 4*c. Let g be p(v). Put g, 3, 6 in descending order.
6, 3, g
Suppose 4*z = -o - 13, -o + 3*o + z = -12. Suppose 6 = -5*x + 5*n + 16, x - 5*n - 2 = 0. Put x, o, -4, 4 in decreasing order.
4, x, -4, o
Let b = -4 - 1. Let q = b - -4.8. Suppose -4*t + 13 = -5*i, -2*t + 6*t - 12 = 4*i. Put q, i, 0.1 in decreasing order.
0.1, q, i
Let q = -19 - -6.8. Let k = q - -8.3. Let c = 0.1 - k. Sort c, 4/3, 5/6 in decreasing order.
c, 4/3, 5/6
Let i = -4 + 8. Let l be 2/(1 + 1 - i). Suppose -13*a - 12*a = -4*a - 63. Sort a, 5, l in decreasing order.
5, a, l
Suppose 0 = -3*l + 2 + 1. Let h = 7447/9940 + 2/2485. Sort -0.5, -1, h, l in increasing order.
-1, -0.5, h, l
Let d be 3/(-6)*2 - (-1 - 0). Sort -5, d, -20, 4 in descending order.
4, d, -5, -20
Let k = 2.6 + -2.75. Let i = k - -0.15. Put i, -5, 3 in decreasing order.
3, i, -5
Let r = 19 + -21. Let s be (52/3)/(6/9). Let h = s - 29. Sort 2, h, r.
h, r, 2
Suppose 0*i = 5*i + q - 27, 5*i = -3*q + 31. Suppose -2*c - 3 = 2*r + 1, 14 = 3*r - c. Suppose -r*g = 10 - 4. Put i, -5, g in descending order.
i, g, -5
Suppose 3*l + 3*z = -0*z, 3*l - 4*z + 28 = 0. Put 8, l, 1, 5 in increasing order.
l, 1, 5, 8
Suppose 3 + 2 = j. Suppose -7*w + y + 9 = -4*w, -j*w + 2*y + 16 = 0. Let m(z) = -7*z + 78. Let o be m(11). Sort o, -4, w.
-4, o, w
Suppose 0 = 5*i + 2*o - 105, -2 = -2*i + 5*o + 11. Suppose -i*n = -15*n - 20. Let f = 3.9 + 0.1. Sort -0.3, n, f in descending order.
n, f, -0.3
Suppose -2*w + 5 = 4*f + 27, 4*w + 24 = -3*f. Put -1, f, 32, 0 in descending order.
32, 0, -1, f
Let i(u) = u**3 - 4*u**2 - 4*u - 5. Suppose 13 = 4*y - 7. Let q be i(y). Suppose 3*t = 3*g + 9, q*t = -g
|
{
"pile_set_name": "DM Mathematics"
}
|
(c) -1721
a
Which is the second biggest value? (a) -4 (b) -978/11 (c) -0.1 (d) -0.2 (e) -0.3
d
What is the third biggest value in -877/12, -1/13, 22?
-877/12
What is the sixth smallest value in 0.022, 0.4, -1, 15/403, 5, -5/4?
5
What is the smallest value in -4/9, 1, 5?
-4/9
Which is the biggest value? (a) -0.00212 (b) -2 (c) 2 (d) -4
c
Which is the second biggest value? (a) -3 (b) 0 (c) 80961 (d) -0.2 (e) 0.6
e
What is the third smallest value in 2, 5, -0.4, -0.06, -0.03, -2.1?
-0.06
Which is the third biggest value? (a) -0.256 (b) -555/4 (c) -4
b
Which is the fourth smallest value? (a) -2 (b) -5 (c) 2/5 (d) -1/5 (e) -35 (f) -25
a
What is the fourth smallest value in 0.358, 102, -5, -0.4, 1?
1
Which is the smallest value? (a) 2/5 (b) -2 (c) 0.3 (d) -2.2 (e) 53
d
What is the biggest value in -2/11, 40/101, 16, 1/16?
16
Which is the second smallest value? (a) 2.1 (b) -5 (c) 0 (d) 2111
c
Which is the fourth smallest value? (a) 0.4 (b) 4 (c) -7 (d) -1.05 (e) -1
a
Which is the smallest value? (a) -7/4 (b) 0.02 (c) -1.41 (d) -1 (e) 2/5 (f) 2
a
What is the third smallest value in 3/5, -0.9, -256/9?
3/5
What is the biggest value in -3, 0.3, 0.5, 15.09, -0.2?
15.09
What is the fifth biggest value in 0, -0.51, -6.7, 8, -2, 0.5?
-2
Which is the third biggest value? (a) 7.7 (b) -0.5 (c) 3 (d) 65 (e) 1/18
c
Which is the third smallest value? (a) 0.08 (b) -4 (c) 5 (d) 3
d
Which is the second smallest value? (a) 4 (b) -2.94 (c) -1 (d) -0.234
c
What is the fifth smallest value in 0.4, -2/13, 0.1, -436, 6?
6
Which is the third smallest value? (a) 5 (b) 3 (c) 0.4 (d) 0.3 (e) -7404 (f) -0.1
d
Which is the biggest value? (a) 3/2 (b) -5 (c) -21/26 (d) 0.5
a
What is the third smallest value in 1, 9, 137?
137
What is the third biggest value in 2/5, -5/2, -0.6, 6/5, 22?
2/5
Which is the second biggest value? (a) -183/4 (b) 2/13 (c) 0.9303 (d) 0
b
What is the second smallest value in 1, 0.5, 6/1589?
0.5
What is the fourth biggest value in -2/59, -2, -10, 55, -5?
-5
What is the third biggest value in -1, 2.3, -2/3, 13, 0?
0
Which is the biggest value? (a) -181 (b) 2/9 (c) 1.1 (d) 2 (e) -2 (f) 0
d
What is the second biggest value in -2, -1.1, 20, 23, -4?
20
Which is the fourth smallest value? (a) -43/3 (b) -36 (c) 2 (d) -1/4
c
What is the smallest value in -332/11, 24, 2/9, 2/3?
-332/11
Which is the fourth biggest value? (a) -2/9 (b) 2/3 (c) -6 (d) -1/41 (e) -4 (f) -1/5
a
Which is the biggest value? (a) -1/7 (b) 3 (c) -0.05 (d) -2/11 (e) 2.4 (f) -14
b
What is the fourth biggest value in -3, 2/7, 2/5, -5/41, 0.13?
-5/41
What is the second biggest value in -16/7, 5, -5, -4, 0.31?
0.31
What is the fifth biggest value in 0.4, -9/23, 4, 5, -0.2?
-9/23
What is the second smallest value in 4, -4302, -2?
-2
Which is the biggest value? (a) 0.5 (b) -1/3 (c) 1/35 (d) -0.051 (e) 0.1
a
What is the third biggest value in -0.107, 5, 130, -5?
-0.107
Which is the smallest value? (a) 0 (b) -69 (c) -1 (d) -15 (e) 4
b
What is the fourth smallest value in 0.01, 161, -5, 1.8, 0?
1.8
Which is the fifth biggest value? (a) 17/3 (b) -0.7 (c) -3/8 (d) -1/2 (e) -8 (f) 1/6
b
Which is the third smallest value? (a) 453 (b) 2 (c) 56 (d) -1/6
c
Which is the second biggest value? (a) -813/20 (b) 1/6 (c) 0 (d) -0.5 (e) 5 (f) -4
b
Which is the biggest value? (a) -13 (b) 4 (c) 5 (d) 24.3
d
Which is the fifth smallest value? (a) -3 (b) 2 (c) -1/4 (d) 1/2 (e) -6/13
b
Which is the second biggest value? (a) -3 (b) 0.032 (c) 390.4
b
Which is the third smallest value? (a) 0.08 (b) -2/9 (c) 5 (d) 7 (e) -0.2 (f) -7
e
Which is the third biggest value? (a) -0.1 (b) -4.159 (c) 4 (d) -2/3 (e) -0.17
e
What is the second biggest value in -8, -2/7, -6/7, 18, 5?
5
What is the fifth smallest value in 3, -19, -2/3, -15/8, -1/2?
3
Which is the third smallest value? (a) 2 (b) 3058 (c) 2/11
b
What is the second smallest value in 0.3, 2, 1958?
2
Which is the second biggest value? (a) 7 (b) 0 (c) -437
b
Which is the second smallest value? (a) -345 (b) -0.2 (c) 38
b
What is the biggest value in -0.2, -32, 704?
704
What is the fourth smallest value in -1214, 3, 1, 2, -1/3?
2
Which is the third smallest value? (a) -1956 (b) -0.2 (c) -1/3
b
Which is the second smallest value? (a) -2/13 (b) -0.071 (c) -0.4 (d) -2/105
a
What is the fourth smallest value in -1, -2/13, -2/9, -5915, 1/4?
-2/13
Which is the fourth smallest value? (a) 6 (b) -4 (c) 1/6 (d) 1143
d
What is the fourth biggest value in 2, 1/3, -4, 1/7, 1888?
1/7
What is the third smallest value in 525/11, -17, 3/7?
525/11
What is the fifth biggest value in -1/3, -2/3, 537, -5, 0?
-5
What is the fourth smallest value in -2.5, -3, 8.7, -2, -0.2, -2/9?
-2/9
What is the smallest value in 2/3, 1.159382, 0.5, -4, 2/7?
-4
Which is the second biggest value? (a) 1 (b) 1/265 (c) 152
a
Which is the sixth smallest value? (a) -1/8 (b) 0.3 (c) 0 (d) -9.59 (e) 2 (f) 0.7
e
What is the second biggest value in 2297, -3/5, -3/7, -1/3, 0.1?
0.1
What is the second biggest value in -0.5, 39.6, -6?
-0.5
Which is the smallest value? (a) -1 (b) 0 (c) -1675 (d) -0.18
c
Which is the biggest value? (a) 82 (b) 0.2 (c) 4/41 (d) -13
a
What is the smallest value in -1/3, -3, -0.0201, -0.1, -1?
-3
Which is the fourth smallest value? (a) -1 (b) 1/5 (c) 0 (d) -0.5 (e) 1.611
b
What is the second smallest value in 17, 0.0701, -2/3?
0.0701
What is the second biggest value in 4/59, -36, -0.3, 0.2?
4/59
What is the third biggest value in -18/7, 0.4, -2/153, -5, -0.5?
-0.5
What is the biggest value in -1, 27, -0.3, 0, 5, -11/2?
27
What is the sixth biggest value in -1/4, -1, -6, -2, 4/35, -0.01?
-6
Which is the second biggest value? (a) -2/7 (b) 6 (c) -4 (d) -9 (e) -487
a
Which is the third smallest value? (a) -96 (b) 13/3 (c) -0.1 (d) -1/3
c
What is the biggest value in -1/3, -0.13, -43.9?
-0.13
What is the third biggest value in -2, 1, -4/9, 86, -0.1?
-0.1
Which is the third biggest value? (a) 2/21 (b) 0.5 (c) 2 (d) -0.175 (e) -2/5
a
What is the smallest value in 54, 1/3, -3, 5?
-3
What is the third biggest value in 0, 44404, 4, -2/5, 2, -2?
2
Which is the second smallest value? (a) -36 (b) 1/8 (c) -3 (d) -2 (e) 0.1
c
Which is the third biggest value? (a) -28.8 (b) 9 (c) 0.4
a
What is the biggest value in -4, -10, -92532?
-4
Which is the second biggest value? (a) -6/7 (b) 4/7 (c) -5/6 (d) 7 (e) -0.4
b
What is the biggest value in 22, 5, 0.098, -0.08, 4/3, 4?
22
What is the fourth smallest value in 0.08, 1, 1312, -2, 2/9?
1
Which is the second biggest value? (a) -3/4 (b) 2/15 (c) -3/41 (d) -4/987
d
What is the second smallest value in -91, 0.3, -47/4?
-47/4
What is the second biggest value in 4, 2/87, 0.2, 2/5, 21, 1?
4
What is the smallest value in 0.1, 0, -165030, 3/8?
-165030
Which is the second smallest value? (a) -1 (b) 2/15 (c) -2/2061 (d) 3
c
Which is the second biggest value? (a) 0 (b) -2 (c) 1 (d) -0.3 (e) -2587
a
Which is the third smallest value? (a) 3 (b) 0.3 (c) -2909
a
What is the second biggest value in 20, -130, -2, 50?
20
What is the fourth biggest value in 4, 64, 336, -4, 1?
1
Which is the biggest value? (a) 37/7 (b) -5 (c) 0 (d) -4 (e) 0.5
a
What is the smallest value in -1/119, -0.039, 0.5?
-0.039
Which is the fourth biggest value? (a) -0.1 (b) 0.09 (c) 48 (d) -33
d
Which is the biggest value? (a) 3/25 (b) -10 (c) -0.3 (d) -9 (e) -2/7
a
What is the biggest value in 35, 0, 3, 4, -4, 0.02?
35
What is the smallest value in -52, -2, -0.027?
-52
Which is the fourth biggest value? (a) 5 (b) -2 (c) 0 (d) -0.4 (e) 4 (f) 1/9
c
What is the smallest value in -3, 1/7627, 0.5, 1.5, -0.3?
-3
What is the second smallest value in -8.65, 92, 0?
0
What is the second biggest value in -1/2, 14/731, 2?
14/731
Which is the fifth smallest value? (a) 23 (b) 5 (c) -4 (d) -3 (e) -1 (f) 1/7
b
Which is the smallest value? (a) -1.2 (b) -225 (c) -0.111
b
Which is the fourth smallest value? (a) 0.2 (b) 3/2 (c) 2/25 (d) -0.0068
b
What is the second smallest value in 2/5, 3, 0.2, -15, 0.11, 1?
0.11
What is the fourth smallest value in -0.01, 3/2, -0.14, 1/346, -5, -1?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 2*j + 17
What is the q'th term of -16958, -69404, -156820, -279212, -436586, -628948?
-q**3 - 17479*q**2 - 2*q + 524
What is the k'th term of -319244, -319120, -318914, -318626, -318256?
41*k**2 + k - 319286
What is the h'th term of -4824, -38510, -129942, -307992, -601532, -1039434, -1650570?
-4812*h**3 - h**2 + h - 12
What is the z'th term of -444, -1228, -2708, -5232, -9148, -14804?
-58*z**3 - 378*z - 8
What is the g'th term of 568, 2424, 5516, 9880, 15552, 22568, 30964, 40776?
6*g**3 + 582*g**2 + 68*g - 88
What is the w'th term of -3367242, -3367203, -3367164, -3367125, -3367086, -3367047?
39*w - 3367281
What is the o'th term of 1014, 807, 462, -21, -642, -1401, -2298?
-69*o**2 + 1083
What is the o'th term of 407097, 814180, 1221269, 1628364, 2035465?
3*o**2 + 407074*o + 20
What is the l'th term of -22879, -45766, -68661, -91564, -114475?
-4*l**2 - 22875*l
What is the t'th term of -406520, -3252142, -10975978, -26017136, -50814724, -87807850?
-406518*t**3 + t**2 + t - 4
What is the f'th term of 1924, -736, -3396?
-2660*f + 4584
What is the h'th term of -19260, -19612, -20602, -22560, -25816, -30700?
-55*h**3 + 11*h**2 - 19216
What is the i'th term of -1327539, -1327532, -1327521, -1327506, -1327487, -1327464, -1327437?
2*i**2 + i - 1327542
What is the j'th term of -50280600, -100561199, -150841798, -201122397, -251402996, -301683595?
-50280599*j - 1
What is the z'th term of 25059, 25164, 25349, 25614, 25959, 26384?
40*z**2 - 15*z + 25034
What is the s'th term of 1094, 2028, 2918, 3746, 4494, 5144?
-3*s**3 - 4*s**2 + 967*s + 134
What is the w'th term of 78326, 78356, 78386?
30*w + 78296
What is the m'th term of -13363, -26821, -40295, -53791, -67315?
-m**3 - 2*m**2 - 13445*m + 85
What is the y'th term of 106012, 848358, 2863294, 6787114, 13256112?
106049*y**3 + y**2 - 38
What is the d'th term of 716132, 2864596, 6445376, 11458478, 17903908, 25781672, 35091776?
d**3 + 716152*d**2 + d - 22
What is the r'th term of 387627, 387668, 387709, 387750, 387791, 387832?
41*r + 387586
What is the x'th term of 31051, 123262, 276633, 491164?
30580*x**2 + 471*x
What is the p'th term of -864673, -3458706, -7782093, -13834834, -21616929, -31128378, -42369181?
-864677*p**2 - 2*p + 6
What is the u'th term of 507237, 1014440, 1521643, 2028846, 2536049?
507203*u + 34
What is the a'th term of 279452, 279532, 279672, 279878, 280156, 280512?
a**3 + 24*a**2 + a + 279426
What is the x'th term of -44186, -176371, -396674, -705095?
-44059*x**2 - 8*x - 119
What is the t'th term of -1272, -4567, -10004, -17577, -27280, -39107?
t**3 - 1077*t**2 - 71*t - 125
What is the h'th term of -5425, -14619, -29943, -51397, -78981, -112695?
-3065*h**2 + h - 2361
What is the n'th term of 3730670, 3730751, 3730830, 3730907?
-n**2 + 84*n + 3730587
What is the i'th term of -49996, -48163, -46328, -44491, -42652?
i**2 + 1830*i - 51827
What is the l'th term of 98714, 98812, 98962, 99164, 99418?
26*l**2 + 20*l + 98668
What is the t'th term of 222341, 444670, 666999, 889328?
222329*t + 12
What is the p'th term of -69, 249, 1857, 5637, 12471, 23241, 38829, 60117?
147*p**3 - 237*p**2 + 21
What is the q'th term of 484155, 968290, 1452403, 1936500, 2420587?
q**3 - 17*q**2 + 484179*q - 8
What is the y'th term of -2271548, -4543097, -6814646, -9086195, -11357744, -13629293?
-2271549*y + 1
What is the h'th term of 400, 2047, 4934, 9055, 14404, 20975, 28762?
-h**3 + 626*h**2 - 224*h - 1
What is the x'th term of -68809257, -68809256, -68809255, -68809254, -68809253?
x - 68809258
What is the k'th term of -15605, -27674, -39743, -51812?
-12069*k - 3536
What is the g'th term of -361, -3031, -10215, -24169, -47149, -81411, -129211, -192805?
-376*g**3 - g**2 - 35*g + 51
What is the r'th term of 18241, 35778, 53317, 70858?
r**2 + 17534*r + 706
What is the f'th term of -341111, -683594, -1026073, -1368548, -1711019?
2*f**2 - 342489*f + 1376
What is the h'th term of 2459, 3916, 6349, 9758, 14143, 19504?
488*h**2 - 7*h + 1978
What is the i'th term of 9, 169, 515, 1083, 1909, 3029, 4479, 6295?
6*i**3 + 57*i**2 - 53*i - 1
What is the u'th term of 1086, -423, -1872, -3261, -4590?
30*u**2 - 1599*u + 2655
What is the w'th term of 239437, 478886, 718335, 957784, 1197233, 1436682?
239449*w - 12
What is the n'th term of -4979, -5667, -6355?
-688*n - 4291
What is the s'th term of 1361, 3686, 7479, 12740, 19469, 27666, 37331?
734*s**2 + 123*s + 504
What is the z'th term of -4009721, -8019420, -12029115, -16038806?
2*z**2 - 4009705*z - 18
What is the x'th term of 7323, 7874, 8399, 8886, 9323, 9698?
-2*x**3 - x**2 + 568*x + 6758
What is the w'th term of 4713, 11667, 18621, 25575?
6954*w - 2241
What is the f'th term of -7667, -19472, -31277, -43082, -54887, -66692?
-11805*f + 4138
What is the f'th term of -506032, -506037, -506042?
-5*f - 506027
What is the i'th term of 13844, 56347, 127182, 226349, 353848, 509679?
14166*i**2 + 5*i - 327
What is the d'th term of -315, 150, 809, 1758, 3093, 4910, 7305?
16*d**3 + d**2 + 350*d - 682
What is the s'th term of -7819855, -15639639, -23459423, -31279207, -39098991, -46918775?
-7819784*s - 71
What is the p'th term of -4423566, -4423565, -4423562, -4423557, -4423550, -4423541, -4423530?
p**2 - 2*p - 4423565
What is the d'th term of 700, 2564, 5488, 9472?
530*d**2 + 274*d - 104
What is the k'th term of -2512, -1721, -930, -139, 652?
791*k - 3303
What is the x'th term of 72211, 144391, 216567, 288745, 360931, 433131, 505351, 577597?
x**3 - 8*x**2 + 72197*x + 21
What is the n'th term of -76283, -152648, -229013?
-76365*n + 82
What is the s'th term of -1053, -4727, -10855, -19437, -30473, -43963?
-1227*s**2 + 7*s + 167
What is the a'th term of 202973, 404965, 606969, 808991, 1011037, 1213113, 1415225, 1617379?
a**3 + 201985*a + 987
What is the o'th term of 341749, 341656, 341561, 341464?
-o**2 - 90*o + 341840
What is the k'th term of 282577506, 565155012, 847732520, 1130310030, 1412887542, 1695465056, 1978042572?
k**2 + 282577503*k + 2
What is the m'th term of 10609173, 21218341, 31827509, 42436677, 53045845?
10609168*m + 5
What is the d'th term of 125127, 250250, 375379, 500520, 625679, 750862?
d**3 - 3*d**2 + 125125*d + 4
What is the m'th term of -82622, -82962, -83302, -83642, -83982, -84322?
-340*m - 82282
What is the c'th term of -7634, -14678, -20592, -24812, -26774?
94*c**3 + c**2 - 7705*c - 24
What is the x'th term of 347259, 694677, 1042099, 1389525, 1736955, 2084389, 2431827?
2*x**2 + 347412*x - 155
What is the r'th term of 157098, 307868, 458640, 609414, 760190, 910968?
r**2 + 150767*r + 6330
What is the r'th term of 25959462, 25959464, 25959466?
2*r + 25959460
What is the n'th term of 1845, 1835, 1817, 1791, 1757?
-4*n**2 + 2*n + 1847
What is the k'th term of 719, 5622, 18869, 44612, 87003, 150194?
692*k**3 + 20*k**2 - k + 8
What is the w'th term of -1630, -6980, -15896, -28378, -44426, -64040?
-1783*w**2 - w + 154
What is the h'th term of 603169, 1206484, 1809799, 2413114?
603315*h - 146
What is the u'th term of 24649, 98312, 221077, 392944, 613913?
24551*u**2 + 10*u + 88
What is the a'th term of 22554, 25069, 29268, 35151, 42718, 51969?
842*a**2 - 11*a + 21723
What is the j'th term of -1303, -5112, -11443, -20296?
-1261*j**2 - 26*j - 16
What is the r'th term of 384250, 384181, 384110, 384037, 383962?
-r**2 - 66*r + 384317
What is the p'th term of 3845030, 3845043, 3845056?
13*p + 3845017
What is the r'th term of -170, -1470, -5064, -12116, -23790?
-194*r**3 + 17*r**2 + 7*r
What is the k'th term of 98899, 197831, 296763, 395695, 494627, 593559?
98932*k - 33
What is the d'th term of 17009, 16578, 16147, 15716, 15285, 14854?
-431*d + 17440
What is the n'th term of 188, 607, 1314, 2285, 3496, 4923, 6542?
-4*n**3 + 168*n**2 - 57*n + 81
What is the s'th term of -322942, -645887, -968832, -1291777, -1614722, -1937667?
-322945*s + 3
What is the j'th term of 23742, 23646, 23550, 23454?
-96*j + 23838
What is the t'th term of 343880682, 343880680, 343880678, 343880676, 343880674?
-2*t + 343880684
What is the d'th term of 283260, 1132990, 2549198, 4531884?
283239*d**2 + 13*d + 8
What is the z'th term of -231059, -461993, -692893, -923741, -1154519?
3*z**3 - z**2 - 230952*z - 109
What is the v'th term of -12710, -25179, -37662, -50165, -62694, -75255?
-v**3 - v**2 - 12459*v
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4. Let i be -4 + (-2)/(r - 0). Let p = i - -5. What is the smallest common multiple of p and 4?
4
Let w be 7*(2 - (-52)/(-14)). Calculate the common denominator of ((-20)/w)/((-6)/5) and 1/2*1*39.
18
Let u(o) = -3*o - 3. Calculate the least common multiple of 2 and u(-2).
6
Suppose -8*u + 13*u = 40. What is the smallest common multiple of 22 and u?
88
Suppose x + d + 53 = -x, -d = -3*x - 77. Let f = x - -36. What is the least common multiple of f and 9?
90
Let x = -425/2 - -4661/22. Calculate the common denominator of x and (98/33)/((-2)/(-3)).
11
Calculate the common denominator of 1474/(-66)*6/(-8) and -25/2.
4
Let v = 3 + 2. Let o = v + 4. Suppose o = 4*y - 47. Calculate the smallest common multiple of 2 and y.
14
Let m be ((-8)/(-27))/((-2)/(-420)). Let y = 4597/72 - m. Let s = 36/475 + 31983/10450. Calculate the common denominator of s and y.
88
Let k = 158977/621346 - -17/926. Let a = -302807/83875 + k. Let l = a - 8/125. Calculate the common denominator of 18/11 and l.
55
Calculate the common denominator of 2/18*-3*139/2 and -13/2.
6
Suppose i = 5*i - 16. What is the lowest common multiple of i and 14?
28
Let f = 3 + -4. Let s = 7987/4 - 2008. Calculate the common denominator of s and f - -1 - (-2)/14.
28
Suppose -j + 0*j - h + 21 = 0, -5*j - 4*h = -104. Suppose 0 = 3*s + 3*u + 2*u - 13, 4 = -4*u. What is the smallest common multiple of j and s?
60
Suppose -3*r = u - 49, -u = -r + 3*u + 12. Calculate the lowest common multiple of 10 and r.
80
Let j be (1 - (3 + 1))*-1. Suppose 2*n - 4 = -3*d, -5*n + 26 - 7 = j*d. What is the lowest common multiple of n and 1?
5
Suppose 0 = 2*s + 2*s. Suppose s = 2*n + w + 3*w + 4, -32 = 2*n - 3*w. Let a = n - -18. What is the lowest common multiple of a and 3?
24
Let a = -3 + 7. Suppose -a*u - 40 = -8*u. What is the smallest common multiple of 10 and u?
10
Let v be (-128372)/82548 - 1 - -1. Let d = v + -1/2293. Calculate the common denominator of 109/6 and d.
18
Let w = -5 + 110. Suppose -2*y = y + w. Calculate the common denominator of 290/(-28) - (-5)/y and 71/22.
22
Calculate the common denominator of 3164/(-792) - (-4)/18 and (-13)/8 - (0 - -2).
88
Let n = 16420 + -262807/16. What is the common denominator of n and -25/12?
48
Let m = 2 + -1. What is the common denominator of 1/m + (-40)/6 and (4/(-2))/(120/1130)?
6
Suppose 2 = 3*i - 25. Suppose -5*o = 3*u - 14, -5*o - i + 36 = 4*u. Let j = 18 - u. What is the least common multiple of j and 11?
55
Let w = -1 - -4. Suppose -3*h + 21 = w*d, -d = -h - 2*h + 41. Let u = -8 + h. What is the lowest common multiple of u and 4?
4
Suppose -1 = -6*t + 5. What is the smallest common multiple of 42 and t?
42
Let p(s) = 18*s - 26. Suppose -3*u = -2*u - 8. What is the least common multiple of u and p(2)?
40
Let m(k) = k**3 + 5*k**2 + k - 3. Let s be (12/(-8))/(6/16). Let i be m(s). What is the common denominator of (104/(-12))/((-28)/i) and 131/18?
126
Suppose 2*d + 2*d = 16. Find the common denominator of ((-12)/35)/(4/(-40)) and d/(-14) + (-191)/(-7).
7
Let f = -9 - -7. Let x = 1355 + -2801/2. Calculate the common denominator of f and x.
2
Suppose -2*w = 10*w - 192. Let m be ((-2)/(-4))/((-3)/(-6)). Let d = m - -3. What is the least common multiple of d and w?
16
Let j = 8/57 - -337/1254. What is the common denominator of -49/16 and j?
176
Calculate the common denominator of (3/(-8))/(18/237) and 119/20.
80
Let f = 16057191023017/9808792627 - 1/65830823. Let x = 1637 - f. Let b = x - 11735/1788. Find the common denominator of b and 74/9.
36
Let q be 5/(-2)*(0 + -2). Suppose 5*s = q*l + 55, -3*s + 0*l = -l - 35. Calculate the smallest common multiple of s and (-304)/(-22) + (-10)/(-55).
84
Let q(b) = 1043*b**3 + b**2 - 1. Let z be q(-1). Let x = z - -5277/5. Find the common denominator of -62/9 and x.
45
Let d(i) = -2*i - 2. Let m be d(-2). Let l(c) = -c + c**m + 1 - 6 - c + 2. Calculate the smallest common multiple of l(-2) and 7.
35
Suppose 0*j + 12 = 4*j. Suppose -2*o = -4*m - j*o + 19, o = m - 6. Calculate the smallest common multiple of m and 9.
45
Let b = -783/20 + 9463/220. Calculate the common denominator of b and 0 - 3/(216/244).
198
Let l(o) = o + 4. Let g be l(-6). Let w(h) = 6*h**2 + h - 4. What is the lowest common multiple of w(g) and 6?
18
Let b(s) = -3*s + 2. Suppose -j - 1 = 2*u + 5, 3*u + 4 = j. Calculate the lowest common multiple of 2 and b(u).
8
Let v(r) = r + 3. Let j be v(-5). Let b = 5 + j. Suppose 6 + 6 = b*c. Calculate the smallest common multiple of c and 14.
28
Suppose -3*o + 13 = 2*x, -3*x + 5*o - 5 = 2*x. Suppose -30 = -x*w - w. What is the least common multiple of 4 and w?
20
Find the common denominator of (118/(-6))/((-16)/12) and (-10)/3*121/22.
12
What is the least common multiple of (-4)/(-18) - 16/(-9) and 3?
6
Let j = 696 - 2751/4. Let c = 5 + -2. Calculate the common denominator of ((-17)/(-11))/(1/c) and j.
44
Suppose -7*q + 4*q + 24 = 0. Let m = -17 + 31. Calculate the lowest common multiple of q and m.
56
Let p(s) = -s**3 + 3*s**2 + 3*s - 1. Let v be p(2). Calculate the common denominator of 815/42 - v/(-21) and ((-1)/(4/(-27)))/(-2).
24
Suppose -4*t + 8 + 8 = 0. Suppose -t*u = -102 + 22. What is the least common multiple of 16 and u?
80
Let y be 57055/1980 + 4/18. Let f = -185/44 + y. What is the common denominator of -47/22 and f?
66
Let u = 2781/2 + -1344. Let f = -3594377585 - -58487712105599/16272. Let h = f + 1/1808. What is the common denominator of u and h?
18
Calculate the smallest common multiple of 36/(-7 + 4)*1/(-2) and 3.
6
Let b = -50/87 + -1/116. Let o = -1537 + 2985/2. Calculate the common denominator of o and b.
12
Let n be (11017 + 2)/((-33)/15). Let r = n - -5004. What is the common denominator of 69/4 and r?
44
Let g = -105 + -69. Let f = g - -287/2. Calculate the common denominator of 7/6 and f.
6
Let t = 100 - 50. Suppose -z + t = 5*j, -3*j + z + 8 = -30. What is the smallest common multiple of j and 11?
11
Suppose -2*h = -2*u + 8, h = -2*u - 2*h + 13. Suppose 17 = -u*b + 2. Calculate the smallest common multiple of (-5 - b) + 2*4 and 1.
6
Suppose 0*j - 2 = -2*j. Let b be 1 - ((2 - 38) + j). Find the common denominator of 722/(-72) + (-8)/b and -89/10.
20
Let v(j) = 2*j**2 - 2. Let l be v(2). What is the common denominator of 101/2*(-1)/8 and ((-2)/2)/(l/(-213))?
16
Suppose -4*g + 40 = -24. Let y = g - 11. Calculate the least common multiple of y and 10.
10
Suppose 35 = -5*w + 8*w + 2*n, -3*n = -w + 30. Calculate the lowest common multiple of w and 12.
60
Let w(v) = v**2 - 2*v - 30. What is the common denominator of w(7) and 35/11?
11
Let q(a) = a - 4. Let f be q(6). Suppose -3 = f*s - 1. Calculate the smallest common multiple of 10 and s/((-7)/(-8) - 1).
40
Suppose 0*o - 13 = -4*c + o, 0 = 2*c - 2*o - 2. Let u(g) = 5*g + 1. Let d be u(6). Let s = -17 + d. What is the lowest common multiple of s and c?
28
Let q(r) = 2*r**2 - 5*r**3 + r**2 + 4*r**3 + r - 2. Calculate the lowest common multiple of q(-2) and (-2)/(-8) - 69/(-12).
48
Let z = -227/6 + 937/30. Calculate the common denominator of -151/18 and z.
90
What is the smallest common multiple of ((-4)/3)/((-10)/105) and 48?
336
Suppose -2*p - 17 = -29. What is the smallest common multiple of 4 and p?
12
What is the lowest common multiple of 8 and (-15)/(-10) + 4/8?
8
Let c(a) = a. Let f = 4 + -5. Let r be 4 + f + 2 + -1. What is the lowest common multiple of 22 and c(r)?
44
Suppose 5*c + 616 = 4*n, 464 = -4*c - n - 3*n. Suppose 3 = u + 5. What is the common denominator of u/(-6) - (-118)/c and -83/8?
40
Let l be ((-4)/(-10))/((-9)/(-45)). Find the common denominator of (213/84)/(l/(-4)) and -57/14.
14
Let m = 135 - 3658/27. Calculate the common denominator of m and 52/21.
189
Calculate the common denominator of (3 + -1 + 28)/7 and (2/6)/((-50)/(-1230)).
35
Let s(u) = 2*u**2 - 4*u + 1. Let q be (-46)/(-12)*126/21. Suppose -5*i + q - 3 = 0. What is the lowest common multiple of i and s(3)?
28
Let j be (-1 - 0/4)/(-3149). Let a = 299163/25192 - j. Calculate the common denominator of 41/3 and a.
24
Let v = -1 - -5. Let x(h) = -3 + v - 5*h - 3*h. Calculate the lowest common multiple of 6 and x(-1).
18
Let p be (-3)/3 + (-105)/(-3). Let i = 48 - p. What is the least common multiple of 10 and i?
70
What is the common denominator of 63/8 and ((-10)/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
2*x**2 - 1270*x + 12
What is the first derivative of -19917*t**4 + 19271 wrt t?
-79668*t**3
Find the second derivative of b*r**2 + 355049*b*r - 590401*r**2 wrt r.
2*b - 1180802
Differentiate 34369*v**3 + v**2 - 755245 wrt v.
103107*v**2 + 2*v
Find the first derivative of -730035*z**3 - 2*z**2 + 2*z + 84578 wrt z.
-2190105*z**2 - 4*z + 2
What is the third derivative of 61850*q*y**6 - q*y**3 - 29287*q*y**2 wrt y?
7422000*q*y**3 - 6*q
Find the second derivative of -165*b**2*h**2*o + 12*b**2*h - 2*b*h*o**2 + 14*b - 1711*h**2*o**2 + 478*h*o wrt h.
-330*b**2*o - 3422*o**2
Find the second derivative of -1315*b**4 - 9*b**3 + 44*b + 342 wrt b.
-15780*b**2 - 54*b
What is the third derivative of 5*g*s**2*x**3 - 135*g*s*x**2 + 253*g*x + 57934*s**3*x**3 - s**3*x - 2*s**2 wrt x?
30*g*s**2 + 347604*s**3
What is the second derivative of -3542*i**3 + 28*i**2 + 288348*i?
-21252*i + 56
What is the derivative of -25*l*o*z**3 + 6*l*o - 35*l*z**3 + 119*l - 8*o wrt o?
-25*l*z**3 + 6*l - 8
What is the derivative of -o**4 - 33039*o**3 - 71040 wrt o?
-4*o**3 - 99117*o**2
Find the second derivative of -27*z**4 + 412*z**3 - 38210*z.
-324*z**2 + 2472*z
Find the first derivative of 258275*g**3 - 143497 wrt g.
774825*g**2
Find the second derivative of 26085*k**5 - 53744*k.
521700*k**3
Find the first derivative of 292*i**2*t**3 - i*t**3 - 221*i*t - 2*i - 913005*t**3 wrt i.
584*i*t**3 - t**3 - 221*t - 2
Find the second derivative of -2*g*x**3 + 6075*g*x**2 - 3*g*x + 4293*g + 2*x**3 wrt x.
-12*g*x + 12150*g + 12*x
What is the second derivative of -1612583*c**5*w - 2*c**4*w + 5*c*w + 12082*c - 6*w wrt c?
-32251660*c**3*w - 24*c**2*w
Differentiate -5*h**2 - 12643*h - 102660 wrt h.
-10*h - 12643
What is the second derivative of -2181258*l**3*p*u**2*z + l**3*u*z + 37*l**2*u*z - 13*l*p*u - 44*l*p*z wrt u?
-4362516*l**3*p*z
Find the second derivative of 12*h**5 + 6*h**3 + 28*h**2 + 8774*h.
240*h**3 + 36*h + 56
Find the second derivative of -25691*d**2*x**2 + 32*d**2*x - 29*d**2 - 7 wrt x.
-51382*d**2
What is the third derivative of -131437*n**6 - 520*n**2 - 270 wrt n?
-15772440*n**3
What is the second derivative of 50680*s**2 + 6446*s wrt s?
101360
Find the third derivative of -23329*a**3*j**3*t**2 + a**3*j**2*t**2 + 2*a**3*j**2 - 21*a**3 - 51*a**2*j**2*t - 11*a*j**3 - 5*a*j**2*t**2 wrt j.
-139974*a**3*t**2 - 66*a
What is the derivative of -6*k*m - 94*k + 449*m - 56 wrt m?
-6*k + 449
What is the second derivative of -183*f*n*s**5 + 4096*f*n*s**3 + 64*f*n + 28*f*s - f + 2*n*s wrt s?
-3660*f*n*s**3 + 24576*f*n*s
Differentiate -2*h**2*y - 2*h**2 + 2*h*y - 75830*h + 307971*y with respect to h.
-4*h*y - 4*h + 2*y - 75830
What is the second derivative of -4*d**2*t**4 + 139078*d**2*t + 1965*t**4 wrt t?
-48*d**2*t**2 + 23580*t**2
What is the second derivative of 2*b**4 - 1181*b**3 + 138*b**2 + 3329*b + 52 wrt b?
24*b**2 - 7086*b + 276
What is the first derivative of -9910*k**2*q - 7*k**2 - 547549*q wrt k?
-19820*k*q - 14*k
What is the first derivative of -619070*x**4 + 243082?
-2476280*x**3
Find the second derivative of 33*n**3*u**2 + 5*n**3 + 17*n**2*u**2 + 20*n*u**2 + 3*n + 21*u**2 + 3*u wrt n.
198*n*u**2 + 30*n + 34*u**2
Find the second derivative of 2794594*r**2 + 3*r + 334575 wrt r.
5589188
What is the third derivative of 605*b**3 + 5*b**2 + 381*b?
3630
What is the second derivative of 11*f**4 + 30968*f**2 - 490670*f wrt f?
132*f**2 + 61936
Find the third derivative of -2299*t**4 - 30*t**3 - 59413*t**2.
-55176*t - 180
What is the second derivative of 68*a**2*n**3*y - 14414*a**2*n*y + 112*a*y + 11*a - 3*n**3*y + n**3 - 30*n*y - y wrt a?
136*n**3*y - 28828*n*y
Find the second derivative of 1740*g**2*w**3 + 10*g**2*w - 703*g*w**3 - 4*g wrt g.
3480*w**3 + 20*w
Find the third derivative of -189773*u**3 + 32876*u**2 - 2.
-1138638
Find the first derivative of 1843897*l - 267662.
1843897
What is the derivative of 613*s*v + 254617*s + 61*v wrt v?
613*s + 61
What is the first derivative of -30365*m**3 - 46025 wrt m?
-91095*m**2
Find the third derivative of 85731*u**3 - 1207735*u**2 wrt u.
514386
Find the first derivative of 222315*d - 167069.
222315
What is the derivative of -8*y**2 + 3689*y - 58907?
-16*y + 3689
Find the second derivative of -99*d**5 - 238*d**2 + 3922*d wrt d.
-1980*d**3 - 476
Find the first derivative of -181925*l**4 + 46068.
-727700*l**3
What is the third derivative of 95*d**2*r**3 + 142*d**2*r**2 - 173*d**2 + 2015*d*r**3 + 2*d*r**2 wrt r?
570*d**2 + 12090*d
What is the first derivative of 30559*x - 35822?
30559
Differentiate 155482*o**4 - o + 65758 with respect to o.
621928*o**3 - 1
Differentiate -5*d**2*t + 989119*d**2 + 7808*d*t - 5*t wrt t.
-5*d**2 + 7808*d - 5
What is the second derivative of 1213*z**4 - 3*z**3 + z**2 - 66839*z?
14556*z**2 - 18*z + 2
What is the derivative of o**3 + o**2 - 7693*o - 28310 wrt o?
3*o**2 + 2*o - 7693
Find the third derivative of 4*d**4*o + 38672*d**3*o**2 - 5*d**3 + 28*d**2*o**2 - 6*d**2*o + 38*d*o**2 - 5*d*o + d wrt d.
96*d*o + 232032*o**2 - 30
Find the second derivative of -6754218*z**4 - 35*z - 10469 wrt z.
-81050616*z**2
What is the second derivative of -8778*b**3*h - 2*b**3 + 3*b + 8*h + 13 wrt b?
-52668*b*h - 12*b
Differentiate 26052*c**2*h + c**2 - 42704*c wrt h.
26052*c**2
Find the first derivative of 928*m*n - 28172*m wrt n.
928*m
What is the first derivative of 1229825*i + 626436 wrt i?
1229825
Find the third derivative of a**3*y**3 - 74967*a**3 + a**2*y**3 - 5372*a**2 + 1 wrt a.
6*y**3 - 449802
What is the first derivative of -2*g**2*k**2 - 5516*g**2 + 24793*g*k**3 - 5*g*k - 16*g wrt k?
-4*g**2*k + 74379*g*k**2 - 5*g
What is the second derivative of a**2*t*w**2 - 22230*a**2*t - a**2*w**2 - 19*a*t*w**2 - a*w**2 + a + 103 wrt a?
2*t*w**2 - 44460*t - 2*w**2
Find the third derivative of 52*b**6 + 21*b**5 + 8*b**3 - 51136*b**2 wrt b.
6240*b**3 + 1260*b**2 + 48
Find the first derivative of -15220*j**3 + 64332 wrt j.
-45660*j**2
What is the first derivative of 4*z**2 - 15914*z - 66838 wrt z?
8*z - 15914
What is the second derivative of -4*j**3 - 4567*j**2 + 277*j - 141?
-24*j - 9134
Differentiate -79647*l**2*t + 5226*l**2 - 2*l wrt t.
-79647*l**2
Find the second derivative of -2*o*w**3*y**2 - 2*o*w**3*y - 378*o*w**3 + 19022*o*w*y**2 + 6*o*w*y - 2*w wrt y.
-4*o*w**3 + 38044*o*w
Differentiate -1121*i**2*p - i**2 - 2*p - 10911 wrt i.
-2242*i*p - 2*i
Find the second derivative of 18*k**2*m - 15935*k**2 + 73387*k + 29*m wrt k.
36*m - 31870
What is the second derivative of 200*j**4 - 247*j**3*o**3 + 2*j**3 - j*o**2 - j*o + 7*o**3 - o**2 - 50*o wrt j?
2400*j**2 - 1482*j*o**3 + 12*j
What is the third derivative of 4*w**5 - 20697*w**4 + 2*w**2 - 42391*w wrt w?
240*w**2 - 496728*w
What is the third derivative of 2816938*t**4 + 2254059*t**2?
67606512*t
Find the third derivative of 227348*u**5 + u**4 - u**3 - 433201*u**2 wrt u.
13640880*u**2 + 24*u - 6
Find the second derivative of -451198*z**4 - 2*z**3 - z**2 - 98*z + 6731 wrt z.
-5414376*z**2 - 12*z - 2
Find the second derivative of -51565*o**4 - 11*o**3 + 2*o**2 - 3359780*o wrt o.
-618780*o**2 - 66*o + 4
What is the derivative of -382724*b**2*v**3 - 1299*v**3 - 185*v**2 wrt b?
-765448*b*v**3
Find the first derivative of -308*h**2*y*z + 42*h**2*y - 140*h**2*z + 2*h**2 + 2*h - 63*y wrt z.
-308*h**2*y - 140*h**2
What is the first derivative of 4*i**4 - 33*i**3 + 2*i**2 + 69*i - 837639 wrt i?
16*i**3 - 99*i**2 + 4*i + 69
Differentiate y**3 + 2846*y**2 - 2*y - 82520 wrt y.
3*y**2 + 5692*y - 2
Find the second derivative of -1445*h**5 - 15*h**3 + h**2 + 78659*h.
-28900*h**3 - 90*h + 2
Find the second derivative of 70469*w**2 + 60264*w wrt w.
140938
Find the second derivative of 87519*b**3 + 109778*b.
525114*b
What is the third derivative of 2077*b**4 + 125*b**3*s - b**2*s + 3*b**2 + 89581*b*s wrt b?
49848*b + 750*s
Find the third derivative of 400*k**5 + 7*k**4 - 4*k**3 + 44002*k**2.
24000*k**2 + 168*k - 24
Find the third derivative of 327044*x**5 - 473557*x**2.
19622640*x**2
Find the third derivative of -1552*f**4*r - 2*f**4 - 4*f**3 - 5557*f**2*r - 2*f**2 wrt f.
-37248*f*r - 48*f - 24
Differentiate -17176*b*l**2*r + 84*b*r**2 - 24361*l**2*r**2 + l**2 + l*r with respect to b.
-17176*l**2*r + 84*r**2
Find the first derivative of -2*i**2 + 102293*i - 1275610.
-4*i + 102293
Find the second derivativ
|
{
"pile_set_name": "DM Mathematics"
}
|
34 = 9 for n.
-5
Let u = 478 + -386. Suppose -u*q + 103*q - 220 = 0. Solve -4*a = -0*a - q for a.
5
Let p = -8485 - -8492. Solve -p*y + 0 + 49 = 0 for y.
7
Let n(q) = -q**3 + 27*q**2 - 26*q + 5. Let z be n(26). Suppose -3*w + 4*l + 5 = 0, 0 = -z*w + l - 0*l + 14. Solve -2*o + 1 = -w*o for o.
-1
Suppose 7*b - 2*i + 46 = 11*b, 0 = 3*i - 9. Solve -b = 318*f - 323*f for f.
2
Let f = 4333 - 4319. Solve -83 - 1 = f*r for r.
-6
Let x(s) = -s + 20. Let c be x(18). Let w(z) = 2*z**2 - 3*z. Let d be w(c). Solve 5*t - d = 4*t for t.
2
Let a = 134 + -131. Suppose a*v - 19 = -7. Solve p = v - 0 for p.
4
Let n(p) = 102*p + 4814. Let o be n(-47). Solve -12*u - 40 = -o*u for u.
5
Let f(h) = 20*h**2 - 3*h. Let u be f(4). Suppose -22*x = -18*x - u. Let q be 12/14*x/22. Solve -q = 2*r - r for r.
-3
Let i(m) = -m**2 + 3*m + 10. Let q = 37 + -32. Let o be i(q). Suppose 5*d + d = o. Solve f - 2 + 1 = d for f.
1
Let g(v) = v + 2. Let r be g(0). Suppose -3*l - 2 = -r. Suppose 3*b - 8*b + 30 = l. Solve -2*c - b = 2 for c.
-4
Suppose 2783 = -11*f + 66. Let w = -243 - f. Solve 7 + 1 = w*y for y.
2
Let w = -2044 - -1391. Let q = 657 + w. Solve 7 - 23 = q*v for v.
-4
Suppose -4*w - 18 = -3*k + 80, 3*w - 114 = -4*k. Suppose k*u - 30 = 27*u. Solve u*a = 8*a - 2 for a.
-1
Let p(z) = -z**3 + 20*z**2 + 20*z + 54. Let d be p(21). Suppose -24*a = -d*a. Solve 4*u = 4 - a for u.
1
Let y be (135/(-36))/(1*(-18)/24). Solve 0 = y*i + 2*i - 28 for i.
4
Let l = -150 - -153. Suppose -l*c + 5*m = -48, 4*c - 4*m = 3*c + 23. Solve -9*q + c*q = -2 for q.
-1
Let f = 11212 - 11180. Solve 0 = -f*b + 41*b for b.
0
Let b(n) = n**2 + 7*n + 5. Let v be b(-7). Suppose v*g - 6 = 3*g. Let u be g/1 - (-13)/13. Solve u*d - 3 + 19 = 0 for d.
-4
Suppose -4*d - 3*h + 576 = 0, h - 1096 + 376 = -5*d. Let r = d - 79. Let b = r + -65. Solve b*w + 12 = -4*w for w.
-3
Suppose 5*c + 54 - 69 = 0. Let x(j) be the first derivative of j**2/2 - 7*j + 4. Let k be x(9). Solve 0 = c*d - k*d + 4 for d.
-4
Let k(b) = 57*b - 5. Let l be k(4). Let n = l - 219. Solve -n*c + 2 = -2 for c.
1
Let u = 1519 + -1504. Suppose 2*f - 20 = -4*d, f - 8 = 4*d - 4*f. Solve -2*a - u = d*a for a.
-3
Let f(b) = 135*b - 3726. Let h be f(29). Solve h*d - 192*d + 21 = 0 for d.
7
Let t be (90/(-12))/(99/(-66)). Solve -t - 25 = 6*h for h.
-5
Suppose l - 9*r + 7*r - 10 = 0, -3*r = 3*l + 15. Solve l = -12*h - h + 13 for h.
1
Suppose -2*u - 2*h + 117 - 85 = 0, -4*h = 5*u - 83. Solve 18*v - u = -1 for v.
1
Suppose -15 = 84*b - 87*b. Suppose 0 = -b*i - 2*u + 25, -3*u - u = -2*i - 14. Solve i*n + 2*n - 10 = 0 for n.
2
Let w be (9/(-4))/(69/276). Let n be 18/w + 8 + 2. Solve -12 = -10*h + n for h.
2
Let x = 458 - 348. Let u = x + -94. Solve -3*z = z - u for z.
4
Suppose -10 = -4*u + 6. Suppose -783*d + 772*d = -77. Solve -u*v + 6 = -d*v for v.
-2
Let j(c) = c**2 + 4*c. Let d be j(-6). Suppose -a + 0 = -3. Suppose 0 = -4*g + 3*y + 18, -5*g - a*y = -0*y - 9. Solve g*s = 7*s + d for s.
-3
Suppose 5*o + 28 = 3*r, 0*o = -r - 3*o. Solve 3*u = 9*u + r for u.
-1
Suppose -3*j + 3*m = -36, 4*j + 2*m - 30 = -0*j. Let x(b) = -b**3 + 7*b**2 + 3*b + 20. Let d be x(j). Let k = d + 120. Solve k - 17 = 3*u for u.
-4
Let r = 251 - 149. Solve -r*d - 11 = -113*d for d.
1
Let y(q) be the third derivative of -5*q**4/24 - 35*q**3/6 + 43*q**2. Let i be y(-7). Let h = 1 - -1. Solve i*k = h*k + 6 for k.
-3
Suppose 4*f - 17*f = 0. Suppose f*m = -3*m. Solve m = 16*c - 14*c - 2 for c.
1
Suppose 7*u - 660 + 1080 = 0. Let j be (22/(-12))/(u/360). Solve -j*d + 48 = 15 for d.
3
Let f(s) = 7*s + 3. Let z be f(1). Let y = 53 + -53. Solve -n - z + 14 = y for n.
4
Suppose 228*z = 5*l + 230*z - 490, -z = 5*l - 485. Solve -230*r + 198*r - l = 0 for r.
-3
Let t = -8 - -12. Suppose 3*u + 0*u = -t*c - 2, -4*c - 5*u + 2 = 0. Let q be (-7 - -6)/(c - (-2 + 1)). Solve -y + 3 = -q for y.
4
Let k be (-9)/(-21) - 100/(-28). Suppose 2*h - 4*u = 4, -2*h + k*u - 8 = 2*h. Let n be (-2 + -3)*h/15. Solve -3*v = n*v - 5 for v.
1
Let y be (8/(-6))/(1/(-15)). Let a = 5564 + -5560. Solve y - 4 = -a*f for f.
-4
Suppose -12*w = -11*w - 11. Suppose -3*y - 2*v = -27, -y - v + w = 2. Let h be (-1)/((-3)/20)*3. Solve -y*r - h = -4*r for r.
-4
Let n be (-4 + -2 + 3)*-4. Let q be (153 + -152)*(-2 + (0 - -7)). Solve n = 9*m - q*m for m.
3
Let s(f) = -6*f + 39. Let c = 42 - 34. Suppose c*a - 20 = 28. Let w be s(a). Solve 2*q + q - w = 0 for q.
1
Let p be -1 + 10/(-4)*-14. Suppose -465*j + 68 = -19664 + 3457. Solve j*n - 4 = p*n for n.
4
Suppose 20 = -15*f + 11*f. Let i be ((-10)/(-7))/f - (-130)/14. Solve -18 = -i*x + 18 for x.
4
Suppose -62*s + 65*s - 73 = -4*a, 0 = s + a - 24. Solve 0 = s*u + 310 - 241 for u.
-3
Let h = 97 + -85. Let o be ((-225)/12)/((-3)/h). Suppose -5*x + o + 15 = 0. Solve -4*m = 6 - x for m.
3
Suppose 0 = 5*s - 4*c - 152, 4*s - 494 + 374 = 4*c. Solve 70 - 38 = -s*m for m.
-1
Suppose -3*k - 26 = -l - 0, 5*k = -5*l + 110. Solve -12*a + l = 11*a for a.
1
Let u(a) = -79*a**2 - 6*a + 7. Let r be u(2). Let m = -267 - r. Solve -51*h = -m*h for h.
0
Let i = -6399 + 7779. Solve i*a = 1390*a + 70 for a.
-7
Let p be (-100)/12*(-4 - (-1)/1). Let o = p - 30. Let b(z) = 4*z + 22. Let g be b(o). Solve -g + 5 = -n for n.
-3
Suppose -3*m = 36 - 99. Let n be (112/m)/((-4)/(-6)). Let c be ((-24)/(-32) - (-2)/n) + -1. Solve 2*s + c*s = -8 for s.
-4
Let t be (1 - (-114)/(-30))/(4/(-10)). Let u(a) = -3*a - t*a - 17 + 6*a + 0*a. Let h be u(-5). Solve -2 - 4 = h*d for d.
-2
Let j(h) = 6*h**3 + 18*h - 20. Let r be j(1). Solve 0 = r*d + 21 - 37 for d.
4
Suppose -45*x + 581 = -2487 - 2737. Solve 16*a + x = 97 for a.
-2
Let c be -60 - -146 - (-13)/(-1). Solve 25 = 49*j - c for j.
2
Let b(v) = 2*v**2 - 10*v + 5. Suppose 2*t - 20 = -3*f - 7, 0 = f + 5*t. Let a be b(f). Solve g - a = -2 for g.
3
Let q = 166 + -176. Let m(p) = -p**3 - 11*p**2 - 13*p - 26. Let y be m(q). Solve 2 = y*v + 10 for v.
-2
Let g(f) = -f**3 + 9*f**2 + 11*f + 25. Let l be g(-6). Suppose -8*c - 299 = -l. Solve 3*n = 8*n + c for n.
-5
Suppose -16858*r + 16867*r - 225 = 0. Solve 11*z - 6*z + r = 0 for z.
-5
Let w be (-20)/(-6)*33/44*112/140. Suppose 5*n - 13 = 22. Let t = -4 + n. Solve -t*h = w*h for h.
0
Let k(p) = 55*p - 20. Let q be k(2). Let n be 10/q*-6 + 26/3. Solve -4*c - n = 12 for c.
-5
Let n(x) = x**3 - 3*x**2 - 3*x + 18. Let u be n(4). Let k be (8/10)/(u/(-55)) - -2. Solve k*d = -3*d - 0*d for d.
0
Let n = 10 + -5. Suppose -3712 = 41*j - 3753. Solve -n*i = -14 - j for i.
3
Let u be -14 + 259/21 + (-1 - (-222)/9). Solve -u*z - 101 = 9 for z.
-5
Suppose 0 = -163*o + 49*o + 2964. Solve o = -5*v - 4 for v.
-6
Suppose 206*z - 28277 = 20751. Solve 21 - z = -31*h for h.
7
Let k = 8 - 3. Suppose -a + 4*a = k*w + 60, 0 = -w - 3. Suppose -p + 0*p + 5*n - 15 = 0, 20 = p + 2*n. Solve p*i + a = 5*i for i.
-3
Suppose -660 = -3067*s + 3037*s. Solve -f = -s*f + 126 for f.
6
Let j(u) = 4*u**3 + 23*u**2 - 34*u - 207. Let n be j(-5). Solve -56 + n = 3*v for v.
-6
Let h be (6/45)/(-1) - ((-11628)/135 - 7). Solve h*d = -10 - 455 for d.
-5
Let m(z) = z + 13. Let s be m(-10). Let l(w) = w**3 - w**2 - 4*w - 6. Let a be l(s). Suppose a = -u + 6 - 4. Solve -5*r + u*r = 9 for r.
-3
Let a be 0*(3 - (-25)/(-10)). Suppose -13*x = -2*x - 8*x. Suppose x = z - 2. Solve z*q + 3 + 3 = a for q.
-3
Let v(z) = -7*z. Let t(n) = n - 1. Let o(m) = 6*t(m) + v(m). Let x be o(-8). Suppose -6*p + x*p + 36 = 0. Solve -4*k - p = 3 for k.
-3
Suppose -34 = -28*n + 27*n - 3*f, 72 = 9*n + f. Solve 50 = n*s + 15 for s.
5
Let h(j) = j**3 + 5*j**2 - 4*j - 2. Let b be h(-7). Suppose -154*c + 9981 = -1723. Let i = c + b. Solve -3*v - i = 5 for v.
-3
Let m be ((-21)/1)/(20 + -29 + 6). Suppose 5*n + 4*v - 41 = -0*n, 0 = 2*n + 4*v - 26. Solve 0 = -n*l + m - 32 for l.
-5
Let s(f) = 418*f + 2582. Let z be s(-6). Solve -z*j = -84*j + 60 for j.
6
Suppose 128 = -3093*p + 3109*p. Solve 5*i - 7 = p for i.
3
Suppose 0 = -9*t + 4*t. Let i be 1/2 + 22/4. Suppose -f - 1 + 3 = c, -3*c = i. Solve t = 2*r - 4*r + f for r.
2
Let q(h) = 6*h + 14. Let r(v) = 5*v + 12. Suppose 3*s = -x + 8*s + 23, 5*x = 2*s + 23. Let b(i) = x*r(i) - 2*q(i). Let f be b(-2). Solve 4*z = 5*z + f for z.
-2
Let h(n) = 16*n**2 + 3*n + 3. Let c be h(-1). Let y be (6 - 10)*(-12)/c. Suppose y*l = 11*l - 48. Solve l = g + g for g.
3
Let w(o) =
|
{
"pile_set_name": "DM Mathematics"
}
|
tiple of 7?
True
Let u(x) = -x**3 + 8*x**2 + 8*x + 12. Let l be u(9). Let a = 7 + 208. Suppose -3*m + a = -0*m - 5*k, -k = l*m - 209. Does 14 divide m?
True
Suppose 0 = -3*n - 9 + 3, -3*n + 24 = 5*t. Is 29 a factor of ((-3)/2)/(t + 2792/(-464))?
True
Suppose -4*s + 4 = -8. Is 8 a factor of (-6)/(-4)*16/s?
True
Suppose 5*d - 11 + 1 = 0, 4*u + 2*d = -20. Does 11 divide (-5795)/(-57) + (-8)/u?
False
Suppose h = 2*q - 0*q - 10, -2*q + 3*h + 2 = 0. Suppose p + q = 2. Let k(a) = -7*a + 4. Is k(p) a multiple of 13?
True
Suppose 4*j = -0*j + 248. Let m = j - 13. Does 13 divide m?
False
Let i(k) be the second derivative of -13*k**3/6 + 6*k**2 - 11*k. Is i(-7) a multiple of 20?
False
Suppose -2*v = 6*o - 4*o - 168, 5*v - 420 = -4*o. Is 21 a factor of v?
True
Suppose 14*y - 2803 - 10189 = 0. Does 69 divide y?
False
Let h be (-2)/11 + 598/143. Suppose -2*w = 0, 21 - h = i + 2*w. Is 11 a factor of i?
False
Let b = -32 + 37. Suppose 466 = 3*s + b*d, -4*d - 92 = -s + 52. Is 38 a factor of s?
True
Suppose -3*g + g + 720 = 5*t, 5*t - 740 = 2*g. Suppose 8*w + t = 626. Does 20 divide w?
True
Does 21 divide (-2 - -32)*((-392)/(-20))/1?
True
Let u = 45 + -41. Suppose -n - 202 + 60 = -4*k, u = -2*n. Is k a multiple of 5?
True
Suppose -t - 6 = -k - 19, 5*t = -3*k + 33. Suppose -3*g = 3 - t. Is 2 a factor of g?
True
Suppose 0 = -3*z + 2*f + 5195, -32*z = -36*z - f + 6934. Is z a multiple of 9?
False
Let m(b) = -2*b - 6. Let a(w) = -w - 27. Let y be a(-16). Let d(l) = l**2 + 13*l + 11. Let o be d(y). Does 8 divide m(o)?
True
Let h be 6/(-48) + (-3)/(-24). Let q(u) = 3*u + 187. Is q(h) a multiple of 19?
False
Let d(a) = 85*a**2 + 9*a + 41. Does 41 divide d(-3)?
True
Let s(b) = b**3 - 19*b**2 - 40*b - 39. Let q be s(21). Does 13 divide 5 + -3 + 314 + q?
False
Let g = -30 + 75. Let v = -25 + g. Is 10 a factor of v?
True
Suppose -4*k = d - 4, -5*d - 4 = -5*k + 1. Let f(g) = g**2 + g - 1. Let t be f(1). Suppose d + 13 = l - 2*b, l + t = -5*b. Is 2 a factor of l?
False
Suppose 3*y - 630 = -h, -2*y - 908 = -4*h + 1682. Is h a multiple of 43?
True
Let z be 39/6 + 1/(-2). Let a(s) = 5*s + 4. Let k be a(z). Suppose 2*j = 2, 0 = -5*l + 5*j + 71 + k. Is l a multiple of 6?
False
Let l = -236 - -231. Let v(y) be the first derivative of -y**4/4 - 2*y**3 - 7*y**2/2 - 4*y + 1. Is v(l) a multiple of 4?
False
Suppose 2*y + 4 = 0, 3*h + h = 4*y + 2652. Is 27 a factor of h?
False
Suppose -7*g = -23 - 33. Suppose -g*j + 1290 = 2*j. Does 7 divide j?
False
Does 12 divide (-96214)/(-90) + 4/(-90)?
False
Let c = 1461 - 266. Does 41 divide c?
False
Suppose -5*c = 3*p - 77, 5*c = -4*p + 10*c + 56. Is 19 a factor of p?
True
Suppose 0 = 5*t - p - 3, 0 = 3*t + t - 5*p + 6. Let f(j) = 54*j**3 - j**2 - j + 2. Is f(t) a multiple of 54?
True
Let t = -32 - -55. Let b = 34 - t. Suppose b*w - 90 = 9*w. Does 16 divide w?
False
Let k(s) = 11*s + 11. Let w be k(10). Let u = 204 - w. Is u a multiple of 36?
False
Is 15 a factor of (-22736)/40*-10*(-4)/(-8)?
False
Suppose -3*s + 2*s - 27 = 0. Let v be 4/6 - 549/s. Suppose -n = -v - 1. Is 11 a factor of n?
True
Let a(d) = d**2 + d + 10. Suppose r + 2*y = -r + 16, 5*r - 4*y = 40. Let z be a(r). Let q = 134 - z. Does 14 divide q?
False
Let y = -416 + 779. Suppose 0 = 2*h + x - 414, 2*h = 2*x + y + 51. Does 28 divide h?
False
Let j = 35 - 6. Let r = j - 15. Let o = 56 - r. Is o a multiple of 21?
True
Let w = -425 - -522. Does 3 divide w?
False
Suppose 298*u - 292*u - 1530 = 0. Is u a multiple of 2?
False
Suppose 3*a - x - 1509 = 0, 5*a - 6*x + x - 2505 = 0. Suppose 3*l + 3*f = 4*f + a, 3*l = 2*f + 507. Is l a multiple of 27?
False
Let j be 0 + 2 + -4 + 6. Suppose 0 = -j*b + 579 + 161. Is 13 a factor of b?
False
Let f = -2 + 1. Let g = f + 17. Suppose -h + 27 = -5*m, -3*m = -7*m - g. Is h a multiple of 6?
False
Let g(c) = -c**3 - 2*c**2 + 2*c - 1. Let b be g(-2). Let t(q) be the first derivative of -q**4/4 - q**3 + 3*q**2 + 3*q + 184. Is 6 a factor of t(b)?
False
Let g(u) = -1379*u**3 + 2*u**2 - 8*u - 9. Is g(-1) a multiple of 92?
True
Suppose 0 = 8*u + 72 - 272. Suppose 6*m = 5*m - u. Let t = m + 32. Is t a multiple of 7?
True
Is ((-30)/12)/((-2)/708) a multiple of 73?
False
Suppose 0 = j + 2*j + 36. Let o = j + 19. Suppose -o*w + 42 = -5*w. Is 5 a factor of w?
False
Suppose 5*b = 5*i - 5120, -5*i = -8*i + b + 3064. Does 85 divide i?
True
Let r = 10 - 6. Suppose r*o = -2*m + 24, 3*m - 2*o = 7*m - 60. Is 12 a factor of m?
False
Suppose -7*d + 6*d + 4 = 0. Suppose y - 2*x = 30, -d*x = -8*y + 7*y + 26. Does 7 divide y?
False
Suppose -9*w + 3756 + 1428 = 0. Is w a multiple of 9?
True
Let q(n) = -n**2 + 29*n. Is 5 a factor of q(15)?
True
Suppose 3*c + 4*r = 7*r + 5535, -4*r = 4*c - 7404. Does 12 divide c?
True
Let j(v) be the second derivative of -v**5/10 - v**4 - 13*v**3/6 + 2*v**2 - 33*v + 2. Is j(-8) a multiple of 34?
False
Let i be ((-14)/8)/((-7)/(-4 + 228)). Let u = i + 55. Is 8 a factor of u?
False
Let v be 168/14*3/4. Let o(b) = -2*b**2 + 5 - 1 + v*b + b**2. Is 9 a factor of o(7)?
True
Is ((-81)/(-2))/(175/80 + -2) a multiple of 9?
True
Suppose 0 = -3*c - 2*r + 514, 5*c + 368*r - 882 = 371*r. Does 46 divide c?
False
Let m(g) = 2*g - 12. Let q be -3*4/(-12) - -4. Let i be m(q). Is 18 a factor of (59 - (1 + 2)) + i?
True
Let w(i) = 2*i**2 + 7*i - 15. Let x be 102/(-15) - 1/5. Is 5 a factor of w(x)?
False
Is (3360/(-196))/((-4)/98) a multiple of 15?
True
Let x(w) = 2*w**3 - 4*w - 7. Let j be x(5). Let k = -113 + j. Is 10 a factor of k?
True
Let a(o) = 6*o**3 - 5*o**2 + 2*o. Let s be a(3). Let d = 175 - s. Is 16 a factor of d?
False
Is 140 a factor of ((-30)/(-25))/((3/(-2800))/(-3))?
True
Let a(n) = 2*n**3 - 5*n**2 - n - 6. Let i = 49 + -45. Is 8 a factor of a(i)?
False
Let b(h) = h**2 - 10*h - 8. Let v = -72 + 205. Suppose -v = -5*t - 58. Is 17 a factor of b(t)?
False
Let t(a) = -20*a + 8. Let q(u) = -19*u + 8. Let z(f) = 6*q(f) - 5*t(f). Let l be 4 - -9*(-2 - -1). Does 23 divide z(l)?
False
Suppose -18*m - 4 = -19*m. Suppose 7*j - 60 = m*j. Does 3 divide j?
False
Does 2 divide (4170/33)/2 - (-136)/(-748)?
False
Let g(b) be the first derivative of -b**2/2 + b - 11. Let l be g(-2). Suppose l*j + 252 = 7*j. Does 23 divide j?
False
Let h(d) = -d + 8. Suppose o = 4*l - 22, -10 = -5*o - 0*o. Let s = -6 + l. Is 3 a factor of h(s)?
False
Let g = -59 + 54. Let j(o) = 3*o**2 + 9*o - 15. Is 5 a factor of j(g)?
True
Let v = 6 - -18. Is 8 a factor of (v/36)/((-1)/(-36))?
True
Let p be (24/36)/((-1)/(-3)). Let v be 6*p/4 + 1. Suppose -48 + 4 = -v*q. Does 2 divide q?
False
Suppose -165 = 3*p + 2*p. Let o = -15 - p. Is o a multiple of 3?
True
Let n be 7 - (-4)/12*-6. Suppose n = -4*v - 7. Is 9 a factor of (-12)/(-3) + v + 40?
False
Let f = -801 - -1351. Is f a multiple of 22?
True
Suppose -6*v + 5 = -v, -n - 5*v = -2028. Is n a multiple of 119?
True
Let i(h) = -h**3 - 6*h**2 + 4*h + 6. Let b be i(-6). Let n be (-534)/(-10) + b/(-30). Let u = n - -1. Is 18 a factor of u?
False
Let a = 346 + 580. Does 45 divide a?
False
Suppose 0 = 2*h + 3*t + 18, 2*h = 5*h - 5*t - 11. Let b be -2 + 1 - (0 - h). Let z(q) = -q**3 - 4*q**2 - 5*q + 1. Is 21 a factor of z(b)?
True
Let z(j) = -5*j**3 + 8*j**2 - 7*j + 6. Let a(d) = -51*d**3 + 81*d**2 - 69*d + 60. Let l(i) = 2*a(i) - 21*z(i). Is l(3) a multiple of 8?
True
Let v(j) = j + 11. Let l be v(-13). Let z = l - -29. Let b = z + 60. Is 29 a factor of b?
True
Suppose -153*k + 162*k = 11601. Does 4 divide k?
False
Let r(i) = -i**3 - 7*i**2 - 5*i + 2. Let h be r(-6). Is (h/1)/(4/(-14)) a multiple of 14?
True
Suppose 73*m + 23101 = 86*m. Is m a multiple of 7?
False
Let a = 75 + 23. Suppose a = 3*f + 26. Is f a multiple of 5?
False
Suppose 3*u - u = z + 9, 0 = -5*u - 5*z. Suppose -69 - 57 = -u*x. Does 28 divide x?
False
Suppose 2*d = 5*j + 1785, 2*d - 1144 = j + 661. Does 19 divide d?
False
Suppose -2*p - 28 = -32. Is 14 a factor of -3*p*(-84)/18?
True
Let d = -159 + 427. Is d a multiple of 4?
True
Let r(v) = -v**2 - 2*v - 2. Let q be r(-2). Let w = 5 + q. Suppose -w*b - 62 + 322 = -2*t, 5*b + 2*t = 460. Is 22 a factor of b?
False
Let r(g) = -g**2 + 10*g - 4. Let x be r(8). Let h be -1 + x*(-8)/(-6). Suppose 3*c = -h, 3*u + 2*c = -0*u + 119. Is u a multiple of 23?
False
Suppose 0 = r - 165 + 5. Suppose 3*p = r + 95. Does 9 divide p?
False
Let w be
|
{
"pile_set_name": "DM Mathematics"
}
|
e z*m(d) - 4*s(d).
-d
Let f(p) = -3*p**2 + 5*p + 169. Let m(o) = -o**2 + 2*o + 56. Calculate 3*f(l) - 8*m(l).
-l**2 - l + 59
Let c(d) = 14*d - 4*d - 9*d. Let v(x) = 10*x + 1. Determine 5*c(w) - v(w).
-5*w - 1
Let j(x) = 1261*x - 9. Let g(o) = 631*o - 4. Determine 9*g(b) - 4*j(b).
635*b
Let r(t) = 15*t + 7. Let o(y) = 15*y + 5. Give 4*o(j) - 3*r(j).
15*j - 1
Let n(o) = 0*o - 1 - o + 8. Let a(z) = 1. Let f(d) = -d + 9. Let m be f(5). Suppose -4*b + 0 = m. Determine b*n(q) + 6*a(q).
q - 1
Let v(t) = -12*t**3 - 2*t**2 - 5*t - 1. Let h(p) = -11*p**3 - 2*p**2 - 4*p. Determine 3*h(b) - 2*v(b).
-9*b**3 - 2*b**2 - 2*b + 2
Let d(f) = -33*f**3 + 93*f**3 - 53*f**3 + 3*f + f - 4*f**2 + f**2. Let c(w) = -14*w**3 + 7*w**2 - 9*w. Calculate 3*c(s) + 7*d(s).
7*s**3 + s
Let l(z) = -9*z**3 - 7*z**2 - 20*z - 10. Let f(g) = 4*g**3 + 4*g**2 + 10*g + 6. Determine 7*f(s) + 4*l(s).
-8*s**3 - 10*s + 2
Let t(y) = -6*y - 15. Let s be t(-2). Let v(m) = -10*m**2 - 26*m - 26. Let g(z) = 2*z**2 + 5*z + 5. What is s*v(l) - 16*g(l)?
-2*l**2 - 2*l - 2
Let x(j) = j**3 + 3*j**2 - 2*j. Let h(u) = 2*u**3 + 8*u**2 - 6*u. Let w(s) = 6*s + 10. Let m be w(-3). Give m*x(o) + 3*h(o).
-2*o**3 - 2*o
Suppose -3*y = -5*y + 12. Let b(n) = 2*n**3 - 11*n + 2. Let m be (-5 - -7)*(-15)/(-1). Let k(s) = 0*s**3 - m - 6*s + s**3 + 31. Calculate y*b(h) - 11*k(h).
h**3 + 1
Let t(n) = -6*n**3 + 15*n. Let o(l) = 5*l**3 - 12*l. What is -7*o(g) - 6*t(g)?
g**3 - 6*g
Let h(s) = -5*s**2 + 7*s + 3. Let c(o) = 2*o**2 - 3*o - 1. Let n(x) = x**3 + 4*x**2 + 2*x - 7. Let w be n(-3). What is w*h(y) - 9*c(y)?
2*y**2 - y - 3
Suppose 0*h - h = -4*c - 2, -2*h = 2*c - 14. Suppose -v - h = -4*v. Let r(s) = 2 + 4 + s + v*s. Let a(g) = -8*g - 17. What is -6*a(p) - 17*r(p)?
-3*p
Let y(x) = 3*x + 9. Let m(q) = -q - 3. Let b be 1/(-1 - 12/(-9)). What is b*y(j) + 8*m(j)?
j + 3
Let a(l) = -84851*l - 234. Let z(f) = -1463*f - 4. Determine 2*a(h) - 117*z(h).
1469*h
Let f(p) = 8*p**2 + 207*p - 23. Let m be f(-26). Let v(y) = 3*y. Let h(n) = 16*n. What is m*h(o) - 15*v(o)?
3*o
Let v(s) = s**2 + s + 4. Let g(i) = -i**2 - i - 5. Let h(j) = -4*g(j) - 5*v(j). Let t(a) = -a**2 - a. What is 3*h(x) - 4*t(x)?
x**2 + x
Let l(u) = -u**3 + u**2 - 4*u + 15. Let a(o) = 2*o**3 - 3*o**2 + 7*o - 29. Determine -4*a(s) - 7*l(s).
-s**3 + 5*s**2 + 11
Let r(s) = 32*s. Let a(k) = -48*k. What is -5*a(l) - 8*r(l)?
-16*l
Let w(g) = 1. Let q(k) = -2*k + 5. Suppose -11 + 7 = 2*d. Let x = -16 + 17. What is d*w(z) + x*q(z)?
-2*z + 3
Let t(s) = -6*s + 3*s + 2*s. Suppose 2*u = -2*u + 28. Let d(b) = 12. Let k(w) = 5. Let p(j) = u*k(j) - 3*d(j). Calculate 2*p(g) + t(g).
-g - 2
Let b(l) = l + 1. Suppose 0 = 170*w - 158*w + 60. Let p(s) = -11*s - 1 + 0 + 10*s. Give w*p(o) - 6*b(o).
-o - 1
Let r(f) = -575*f**2 + 3*f - 3. Let t(u) = 13220*u**2 - 70*u + 70. Determine -70*r(x) - 3*t(x).
590*x**2
Let i be 2*2*15/(-30). Let z be (-5)/(15/(-12)) + i/(-1). Let d(m) = -8*m**3 - 7*m**2 + m. Let t(r) = -7*r**3 - 6*r**2 + r. Give z*d(s) - 7*t(s).
s**3 - s
Let a(g) = 123*g**2. Let t(h) = 84500*h**2. Give -4125*a(s) + 6*t(s).
-375*s**2
Let x be (1 + -1 - 6) + (-4 - -2). Let u be x/4 - 4 - 2. Let d(z) = 4*z**2 + 11*z - 3. Let f(r) = r**2 + 4*r - 1. Determine u*f(k) + 3*d(k).
4*k**2 + k - 1
Let v be (16/20)/(2/5). Let h(m) = -4 + 1 - 2*m**3 - 2 - 5*m**v - 5*m. Let y(r) = r - r**2 - 2 + 1 + 2*r + 7*r - 11*r. Calculate h(i) - 5*y(i).
-2*i**3
Let w(f) = 6*f**2 - 2*f + 5. Let y(n) = -5*n**2 + n - 4. Give 3*w(q) + 4*y(q).
-2*q**2 - 2*q - 1
Let u(g) = g**3 - 3*g**2 + 1. Let q = -17 + 21. Let o(z) = z**3 - 237*z**2 - 3 + q + 235*z**2. Calculate -6*o(y) + 4*u(y).
-2*y**3 - 2
Let r(s) = -120*s + 9. Let n(u) = -60*u + 4. Determine -5*n(q) + 2*r(q).
60*q - 2
Let x(q) = -2*q. Let l(a) = -8*a + 4*a + 0*a + 3*a. Give -12*l(r) + 5*x(r).
2*r
Let d(n) = 0 - 3*n**3 + 0 + 2*n + 4*n**2 + 4. Let g(r) = -r**3 - r - 2*r**2 - 5 + 6 + 3*r**2 + 2*r. What is d(s) - 4*g(s)?
s**3 - 2*s
Let a(s) = -284*s**2 + 8*s. Let y(c) = -c**2 - c. Determine 3*a(r) + 24*y(r).
-876*r**2
Let a(c) = -11*c**2 - 3*c + 94. Let k(n) = 40*n**2 + 11*n - 376. What is -22*a(j) - 6*k(j)?
2*j**2 + 188
Let n(b) = 5*b**2 - 6*b + 19. Let o(x) = 6*x**2 - 4*x + 17. What is 2*n(j) - 3*o(j)?
-8*j**2 - 13
Let b be 240/(-42) - 3/(-21)*-2. Let o(j) = -j**3 + j**2 + j. Let m(i) = 9*i**3 - 6*i**2 - 4*i + 1. Give b*o(p) - m(p).
-3*p**3 - 2*p - 1
Let g be (-16)/(-136) - 15/(-17). Let w(v) = 1. Let p(l) = -5*l + 3. Let o(n) = n - 1. Let z(t) = -9*o(t) - 2*p(t). What is g*w(s) + z(s)?
s + 4
Let l(x) = 172. Let t(d) = -d - 512. Determine 7*l(g) + 2*t(g).
-2*g + 180
Suppose -s = -4*s + 9. Suppose 4*w = 3*w + 4*g - 11, -s*w + 4*g = 9. Let d(x) = -x**3 - x**2 - x. Let p(n) = -8*n**3 - 10*n**2 - 10*n. Give w*p(m) - 10*d(m).
2*m**3
Let n(h) = 9*h. Let r(i) = -19*i - 1. What is -5*n(w) - 3*r(w)?
12*w + 3
Let g(n) = 5440*n**2 + 512. Let v(m) = -64*m**2 - 6. Determine -3*g(o) - 256*v(o).
64*o**2
Let k(p) = -2*p**2 + 72*p - 1. Let a(n) = 6*n**2 - 214*n + 3. Determine -4*a(f) - 11*k(f).
-2*f**2 + 64*f - 1
Let k(a) be the first derivative of -a**4 - 6*a - 3. Let m(z) = 9*z**3 + 13 + 33*z - 17*z - 16*z. Calculate -13*k(d) - 6*m(d).
-2*d**3
Let j(p) = -30*p**2 + 10*p - 23. Let s(d) = d**2 - 2*d + 3. Determine j(t) + 6*s(t).
-24*t**2 - 2*t - 5
Suppose -30 = -3*v + 7*v + 2*z, 0 = 3*v - z + 15. Let x(n) = -8*n**3 + 5*n**2 - 5*n + 5. Let j(t) = -9*t**3 + 6*t**2 - 6*t + 6. Give v*x(o) + 5*j(o).
3*o**3
Let m(a) = -a**2 - 9*a - 62. Let k(b) = b**2 - 4*b + 1. Determine 2*k(p) - m(p).
3*p**2 + p + 64
Suppose -2*j - 2 = -0*j. Let c(a) = 1. Let h(q) be the first derivative of -3*q**2/2 + 3*q + 229. What is j*h(s) + 4*c(s)?
3*s + 1
Let j(p) = -2*p + 6. Let g(h) = -3*h - 2*h + 8*h - 7. Let z(y) = 5*g(y) + 6*j(y). Let b(c) = -c**2 + c. Suppose 5 = 2*o - 1. Determine o*b(d) - z(d).
-3*d**2 - 1
Let r(q) = -3*q - 2. Suppose 3*v - 6 = -3*s, -4 = -5*s + 3*v - 2. Let w(g) = -3*g - 32. Let f(d) = d + 12. Let j(i) = -8*f(i) - 3*w(i). Give s*r(h) + 5*j(h).
2*h - 2
Let d(k) = 24*k + 11. Let u(c) = -35*c - 16. Determine -7*d(n) - 5*u(n).
7*n + 3
Let g(q) = 12*q**2 - 7*q + 6. Let u(z) = -z**2 + z - 1. Give -g(o) - 5*u(o).
-7*o**2 + 2*o - 1
Let c = -18 + 22. Suppose c*s - 10 = 6. Suppose s*g - 59 = -3. Let w(m) = 7*m**2 - 3*m + 5. Let a(j) = 20*j**2 - 8*j + 14. Give g*w(y) - 5*a(y).
-2*y**2 - 2*y
Let u(h) = 7*h**3 + 3*h**2 - 3*h + 3. Let i(j) = j**2 + 22*j + 60. Let a be i(-19). Let x(p) = 36*p**3 + 16*p**2 - 16*p + 16. Calculate a*x(n) - 16*u(n).
-4*n**3
Suppose 2*i = 6*i - 72. Let j(n) = -4 + 3*n**2 - 7*n**3 - 2*n**2 + n**2 + 10*n**3 + 3. Let u(r) = 13*r**3 + 9*r**2 - 4. Determine i*j(v) - 4*u(v).
2*v**3 - 2
Let i(w) = 2*w + 5. Let a be (-1 - -2)*(-7 - 6 - -12). Let h(s) = s + 1. What is a*i(t) + 6*h(t)?
4*t + 1
Let s(o) = 202*o + 11. Let d(h) = 204*h + 9. Give 7*d(u) - 6*s(u).
216*u - 3
Let j(z) = 2*z + 24. Let k(h) = 1. Give j(n) + 4*k(n).
2*n + 28
Suppose -3*g - 15 = -s, 1 = g + s + 2. Let j(i) = -6*i**3 + 4*i**2 + 2*i - 5. Let p(u) = 7*u**3 - 5*u**2 - 3*u + 6. Determine g*p(r) - 5*j(r).
2*r**3 + 2*r + 1
Let m(i) be the second derivative of -i**5/10 - i**4/3 - i**3/3 - 5*i**2/2 - 172*i. Let z(b) = -b**2 - b. Determine m(l) - 2*z(l).
-2*l**3 - 2*l**2 - 5
Let s(i) = 6*i + 46. Let q(l) = -8*l - 70. What is -5*q(k) - 7*s(k)?
-2*k + 28
Let r(x) = -5 + x - 427*x**2 - 432*x**2 + 1284*x**2 - 430*x**2. Let h be (-1 - -14)*(2 - 1). Let m(z) = 11*z**2 - 2*z + 11. Determine h*r(g) + 6*m(g).
g**2 + g + 1
Let w(s) = 2*s**3 + s**2 + 4*s. Let f = -959 - -963. Let y(z) = 2*z**3 + 2*z**2 + 5*z. What is f*y(q) - 5*w(q)?
-2*q**3 + 3*q**2
Let b(m) be the first derivative of -3 + 0*m + 3/2*m**2. Let f(g) = 3*g. Suppose -5*u - 4*o = -45, 2*u - 4*o + 15 - 5 = 0. What is u*b(i) - 4*f(i)?
3*i
Let w(s) = 7*s**3 - 5*s**2 + 5*s. Let o(n) = -48*n**3 + 36*n**2 - 36*n. Let z be ((-42)/(-3) - (-40)/(-8))*4. What is z*w(t) + 5*o(t)?
12*t**3
Let j(s) = s**2. Suppose 0*w = -7*w + 21. Suppose 0*f + 3*c = -f, w*f = c - 10. Let x(y) = y**2 + y - 2. Determine f*j(i) + x(i).
-2*i**2 + i - 2
Let b(c) = -11*c**2. Let p(m) = -3*m**2 - 14*m - 6. Let l be p(-4). Let u(y) be the first derivative of 0*y**l - 5/3*y**3 + 0*y - 1. Calculate -4*b(r) + 9*u(r).
-r**2
Let k(u) = -48*u - 48. Suppose 270 = 14*q - 4*q. Let p(f) = -7*f - 7.
|
{
"pile_set_name": "DM Mathematics"
}
|
u(q) = 9*q**3 - 81*q**2 + q - 12. Calculate u(9).
-3
Let d(p) = -2*p**2 + 21*p + 13. Give d(7).
62
Let t(o) = -o**3 + 17*o**2 + 18*o - 23. Calculate t(18).
-23
Let n(l) = -l**2 + 16*l + 69. What is n(19)?
12
Let n(d) = 2*d**2 - 7*d + 12. Determine n(6).
42
Let g(x) = -3*x**2 + 15*x - 18. What is g(6)?
-36
Let j(b) = -61*b - 446. Give j(-7).
-19
Let o(u) = -u**2 + 3*u - 1. Determine o(5).
-11
Let s(w) = 8*w**2 + 3*w + 4. What is s(-1)?
9
Let l(o) = -9*o - 8. Give l(-6).
46
Let m(t) = -41*t + 222. Give m(6).
-24
Let v(r) = -2*r**3 + 4*r**2 - 6*r + 3. What is v(2)?
-9
Let q(g) = -47*g + 273. Calculate q(6).
-9
Let z(y) = 4*y + 30. Determine z(-7).
2
Let r(q) = 34*q + 257. Calculate r(-8).
-15
Let j(p) = -6*p - 78. What is j(-11)?
-12
Let t(d) = d**3 - 3*d**2 - 8*d + 9. Give t(4).
-7
Let a(l) = -l**2 + l - 4. Give a(0).
-4
Let a(d) = d - 20. What is a(0)?
-20
Let b(v) = -50*v - 366. Determine b(-7).
-16
Let q(d) = 6*d - 25. What is q(5)?
5
Let x(p) = p**3 - 3*p**2 - 2*p + 4. Calculate x(3).
-2
Let v(g) = 2*g**2 - 8*g + 6. What is v(5)?
16
Let p(t) = 5*t - 6. What is p(4)?
14
Let j(t) = 16*t + 10. Calculate j(-1).
-6
Let w(a) = 79*a - 484. Calculate w(6).
-10
Let c(i) = -i**3 - 10*i**2 + i + 28. Calculate c(-10).
18
Let p(r) = -10*r - 132. Determine p(-9).
-42
Let a(c) = -c**3 + 9*c**2 - 11*c + 5. Calculate a(8).
-19
Let a(n) = -12*n - 9. Determine a(0).
-9
Let x(l) = -24*l + 7. Give x(2).
-41
Let z(c) = c**2 - 9*c - 19. Give z(12).
17
Let h(v) = -v**2 - 7*v - 4. Calculate h(-6).
2
Let p(r) = -r**2 - 10*r. Give p(-10).
0
Let m(b) = -8*b + 1. What is m(2)?
-15
Let m(r) = -r**2 - 16*r + 138. Give m(-22).
6
Let a(x) = -x**2 - 9*x + 3. What is a(-10)?
-7
Let i(x) = -4*x + 17. Calculate i(7).
-11
Let t(x) = -7*x + 16. Calculate t(8).
-40
Let m(i) = -5*i - 20. Determine m(-4).
0
Let r(j) = -j**2 + 13*j + 11. What is r(14)?
-3
Let a(d) = -3*d - 6. Give a(-3).
3
Let v(k) = 13*k + 74. Give v(-9).
-43
Let i(g) = g - 1. Determine i(2).
1
Let u(l) = -l. What is u(-7)?
7
Let f(k) = -k**3 - 10*k**2 + 11*k - 9. Calculate f(-11).
-9
Let f(q) = 4*q + 7. Give f(-3).
-5
Let c(u) = -16*u - 179. Determine c(-11).
-3
Let q(c) = -c**2 - 12*c - 3. Calculate q(-8).
29
Let r(z) = -2*z**3 + 23*z**2 - 10*z - 9. What is r(11)?
2
Let o(t) = -t**2 + t + 10. Calculate o(0).
10
Let b(j) = j**3 - 8*j**2 - 5*j - 16. Calculate b(9).
20
Let i(k) = k**3 + 18*k**2 + 2*k + 9. Determine i(-18).
-27
Let a(y) = -26*y**3 + y**2 - y. Determine a(1).
-26
Let c(b) = -8*b - 5. Calculate c(-4).
27
Let y(c) = -c**3 + 9*c**2 - 18*c + 2. What is y(3)?
2
Let t(w) = 109*w + 321. What is t(-3)?
-6
Let w(p) = -p**2 + p + 2. Calculate w(-9).
-88
Let j(g) = g**3 - 34*g**2 + 28*g + 164. Calculate j(33).
-1
Let x(h) = -4*h - 10. Calculate x(3).
-22
Let b(a) = -18*a**3 - a. Determine b(1).
-19
Let a(t) = 3*t + 2. Give a(-4).
-10
Let w(f) = -f**2 + 10*f - 11. Determine w(8).
5
Let r(c) = c**3 - 6*c**2 - 4*c. Calculate r(7).
21
Let j(k) = -8*k - 4. What is j(9)?
-76
Let i(y) = -y**3 - 4*y**2 - 3*y - 4. Calculate i(-2).
-6
Let o(q) = 71*q + 145. Calculate o(-2).
3
Let k(h) = -h**2 - 6*h - 19. Calculate k(-8).
-35
Let l(k) = -k**2 - 28*k - 20. What is l(-28)?
-20
Let i(l) = l - 7. What is i(7)?
0
Let i(b) = 9*b - 24. Give i(8).
48
Let c(p) = -8*p**2 - 2*p - 1. Calculate c(-1).
-7
Let a(n) = -n**3 - 2*n**2. Calculate a(-1).
-1
Let z(w) = w**2 - w - 7. Calculate z(-5).
23
Let x(o) = -o**3 + 12*o**2 + 29*o - 18. Determine x(14).
-4
Let z(j) = 2*j + 42. Give z(-14).
14
Let s(y) = -19*y + 2. Determine s(-2).
40
Let p(d) = -d**3 - 9*d**2 - 10*d + 6. Determine p(-8).
22
Let q(t) = -13*t + 31. Give q(-9).
148
Let q(o) = -4*o**3 - 2*o**2 + 6*o + 11. Determine q(-2).
23
Let h(j) = j**2 - 2*j - 7. Determine h(-3).
8
Let a(h) = h**3 - 8*h**2 - 9*h - 1. What is a(8)?
-73
Let p(z) = z**2 - 2*z + 1. What is p(3)?
4
Let x(a) = 12*a - 12. Determine x(-3).
-48
Let y(v) = -v - 42. Calculate y(-43).
1
Let f(v) = -3*v + 15. Determine f(6).
-3
Let a(s) = 3*s**3 - 3*s + 1. What is a(-2)?
-17
Let n(q) = -2*q**2 - 14*q + 24. Determine n(-8).
8
Let y(k) = 4*k**2 - 33*k - 22. What is y(9)?
5
Let d(h) = 36*h**3 + 2*h**2 + 3*h + 1. Determine d(-1).
-36
Let i(b) = 31*b - 247. What is i(8)?
1
Let r(w) = 10*w + 16. Determine r(-5).
-34
Let n(v) = -19*v + 41. Calculate n(4).
-35
Let v(k) = k**2 + 12*k + 16. Calculate v(-8).
-16
Let x(j) = j**3 + 6*j**2 + 7*j - 9. Give x(-4).
-5
Let z(i) = -i**3 + i**2 + 2. Give z(2).
-2
Let r(q) = -q**2 - 17*q - 18. Determine r(-15).
12
Let z(q) = 4*q + 3. Determine z(3).
15
Let d(k) = k**2 - 6*k - 36. Determine d(10).
4
Let u(i) = -i**3 - 19*i**2 - 20*i + 24. What is u(-18)?
60
Let u(l) = l**3 + 9*l**2 + 12*l + 3. Calculate u(-8).
-29
Let r(z) = 3*z**3 - 1. Calculate r(1).
2
Let k(o) = -o**3 - 6*o**2 - 6*o - 1. Calculate k(-3).
-10
Let v(m) = 5*m + 27. Determine v(-4).
7
Let f(b) = -2*b**3 - 32*b**2 + 2*b + 38. Give f(-16).
6
Let s(i) = 2*i**2 - 10*i - 3. What is s(5)?
-3
Let v(g) = g**2 + g - 6. Calculate v(-4).
6
Let o(t) = -t**2 - 2*t + 18. Calculate o(-6).
-6
Let c(i) = -15*i + 104. Determine c(6).
14
Let q(j) = 7*j - 15. What is q(11)?
62
Let o(m) = m**2 - 11*m - 13. Give o(12).
-1
Let z(a) = -3*a + 4. Calculate z(-3).
13
Let q(y) = -18*y + 18. What is q(-2)?
54
Let s(t) = -4*t + 4. What is s(2)?
-4
Let b(l) = l**3 - 5*l**2 - 11*l + 10. Calculate b(7).
31
Let u(c) = -c**2 + 5*c. Determine u(6).
-6
Let w(o) = 12*o**2 - 7*o + 4. Give w(1).
9
Let k(z) = -6*z**2 - 242*z - 81. Determine k(-40).
-1
Let p(w) = 2*w**2 - 6*w - 31. Calculate p(10).
109
Let o(d) = -d**2 + 6*d - 3. Give o(3).
6
Let w(t) = t**3 + 7*t**2 - 6*t. Determine w(-8).
-16
Let x(v) = -4*v - 10. Determine x(-4).
6
Let m(i) = i - 13. Give m(0).
-13
Let q(j) = 2*j**2 - j + 6. What is q(4)?
34
Let a(b) = -8*b + 82. Give a(9).
10
Let s(o) = o**3 + 5*o + 9. What is s(5)?
159
Let v(d) = -6*d + 70. Give v(12).
-2
Let v(k) = k**2 - 15*k - 7. Calculate v(15).
-7
Let x(n) = -n**3 + 7*n**2 + 60*n - 1. What is x(12)?
-1
Let k(t) = -t**3 + 3*t**2 - 7*t + 9. Determine k(2).
-1
Let c(b) = -10*b + 17. Determine c(3).
-13
Let b(y) = -3*y**3 + 27*y**2 + y - 11. Calculate b(9).
-2
Let f(b) = b**2 - 9*b - 8. Determine f(8).
-16
Let r(k) = k + 10. Determine r(-12).
-2
Let w(c) = 12*c**2 + c + 3. What is w(2)?
53
Let r(t) = -t**3 + 2*t**2 - 3*t + 9. Determine r(0).
9
Let p(b) = -b**2 + 14*b - 9. Give p(11).
24
Let c(d) = -d**3 - 3*d**2 - d - 7. What is c(3)?
-64
Let y(n) = -n**2 + 3*n + 12. What is y(-6)?
-42
Let k(t) = -t**3 + 9*t**2 + 15*t - 21. Calculate k(10).
29
Let v(j) = j**3 + 17*j**2 - 23*j - 71. Calculate v(-18).
19
Let j(o) = -o**3 + 8*o**2 + 2*o - 7. What is j(8)?
9
Let q(a) = 11*a**2 + 14*a + 10. Determine q(-4).
130
Let g(r) = -23*r - 2. Give g(1).
-25
Let p(t) = 6*t**2 + 2. Give p(-2).
26
Let s(f) = -f**3 + 2*f**2 + f + 5. Calculate s(3).
-1
Let j(y) = -4*y + 25. What is j(6)?
1
Let h(i) = -2*i**2 - 25*i + 6. Calculate h(-12).
18
Let x(o) = -2*o. Give x(-2).
4
Let a(b) = -8*b**2 + 4*b - 2. Calculate a(1).
-6
Let u(z) = -14*z - 28. Calculate u(-3).
14
Let p(y) = -y**3 + 2*y**2 + 21*y - 5. Determine p(6).
-23
Let f(v) = -21*v + 84. Calculate f(4).
0
Let k(s) = s**2 - 39. Give k(0).
-39
Let h(r) = r**2 - 6*r + 7. Determine h(3).
-2
Let p(n) = 15*n - 44. What is p(6)?
46
Let t(x) = -23*x - 136. Give t(-6).
2
Let x(s) = -s**2 + 4*s - 2. What is x(5)?
-7
Let v(a) = 3*a - 14. What is v(16)?
34
Let y(w) = -9*w**2 + 1. Determine y(1).
-8
Let k(m) = m**3 + 2*m**2 - 2*m + 3. Calculate k(-4).
-21
Let n(b) = -b**2 - 8*b - 8. What is n(-7)?
-1
Let r(s) = 9*s + 371. Give r(-41).
2
Let o(z) = -z**2 + z - 8. Determine o(4).
-20
Let q(l) = l**3 + l**2 - 6*l - 4. What is q(-4)?
-28
Let v(h) = 2*h**3 + h**2 - 5*h. Give v(-4).
-92
Let n(s) = -s**3 - 5*s**2 - s - 9. Give n(-4).
-21
Let s(r) = -r**2 - 26*r + 25. Calculate s(-27).
-2
Let d(j) = -j - 2. What is d(3)?
-5
Let i(o) = -2*o**3 + 28*o**2 + 31*o - 28. Calculate i(15).
-13
Let q(w) = -75*w + 596. Give q(8).
-4
Let b(z) = -5*z + 1. Determine b(3).
-14
Let j(w) = 11*w**2 + 4*w - 7. Give j(3).
104
Let m(o) = -3*o - 4. What is m(-5)?
11
Let x(b) = b**3 - 7*b**2 + 8*b - 9. Determine x(7).
47
Let c(w) = 3*w**2 + 24*w - 4. Give c(-8).
-4
Let h(v) = -v**3 - 23*v**2 + 27*v + 56. Determine h(-24).
-16
Let m(x) = x**2 - 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
to -0.2? (a) -8 (b) w (c) k
c
Let p = 702 + -703. Let o(t) = -t + 8. Let w be o(0). Let z be w/30 + (-10)/(-25). What is the nearest to z in p, 5, -3/2?
p
Let t = 218/57 + -11333/3306. Let f = t - -3/29. What is the closest to 1 in -2/55, f, 0?
f
Let y be (7 - 3) + 16/168*-35. What is the closest to y in -1/4, -2/11, 2/13, -0.21?
2/13
Let f = -23.4 + 25.4. Let q = 0.19 - 0.07. Let r = q + -3.12. Which is the closest to -1? (a) r (b) 0.5 (c) f
b
Let p = -22557 + 22557.5. Which is the closest to -16? (a) 23 (b) p (c) -3
c
Suppose 63 = -0*t + 4*t - 5*b, 5*t + b - 57 = 0. Suppose -15*m + t = -3*m. What is the nearest to -1/4 in 0, -2, m?
0
Let v = -1/797 - -10369/6376. Let y = v + -263/152. Let n = -0.3 + 0.5. What is the nearest to y in n, -3, 4?
n
Let x = 24.06 + -20. Let l = 3.86 - x. Which is the closest to -1? (a) 2/5 (b) -1/2 (c) l
b
Let h = -11405 + 11404. Which is the closest to h? (a) 2 (b) 1 (c) -0.03
c
Let u = 155.09 + -162.09. Which is the closest to u? (a) 4/9 (b) 1/2 (c) 13 (d) 2/5
d
Let m be 6/4*(1725/108 + -16)*-2. What is the closest to -114.9 in 4, m, -1, -0.3?
-1
Let i = 1.52 + -2.02. What is the closest to 1 in i, -1/4, -1/6, 15/4?
-1/6
Let o be 0 + (-7)/(-3) - (12 - 9). What is the nearest to o in -3/8, 1, -1, -6/41?
-3/8
Let t = -22845 + 23496. Which is the closest to -1? (a) t (b) 2 (c) 0.4 (d) 3
c
Let k be (1/5 + (-21)/(-45))/(64/96). Which is the closest to -8/9? (a) 5 (b) k (c) -2/5 (d) -0.01
c
Let b = 1714 - 1716. What is the nearest to b in -0.08, 4, 0.6?
-0.08
Let w = 8.86 - 4.46. Which is the closest to 0.2? (a) 3 (b) -0.2 (c) w
b
Let w = -5 + 3. Let q = 0.11047 + 0.18953. What is the closest to q in w, 0, -5?
0
Let y = 0.2 - 1.2. Let n = 323937.6 + -323938. Which is the nearest to -0.4? (a) n (b) y (c) 0.4
a
Let c = -5 + 1. Let x = 185 + -184.88. Let j = 2603 - 2599. What is the closest to x in c, 0, j?
0
Let h = -3/5548 - -5557/16644. Which is the nearest to -1/2? (a) 0 (b) 2/9 (c) h (d) -2
a
Let i = -36 - -30.2. Let y = -47.6 - -53. Let b = y + i. What is the closest to -1 in -1, b, 6?
-1
Let i be (-153)/1122 - (-473)/1694. Suppose -b - 2*b = 3. Let k be (10*b)/(6/(-3)). What is the closest to -0.1 in -0.4, i, k?
i
Let q be 0*-1*(2 - 1). Let y = -15.4 - -15.082. Let x = y - 0.082. What is the closest to q in 1/3, 11, x?
1/3
Let h = 0.2236 - 0.1236. Which is the closest to -1? (a) 1 (b) h (c) 4/31 (d) 0
d
Let j = 154 + -157. Let z be ((-18)/225*15)/((-9)/30). Which is the nearest to 0.1? (a) j (b) z (c) 2/17
c
Let a be ((-12)/33)/((-390)/(-429)). Let n = 22/3 - 41/6. What is the closest to 0.1 in a, -5, n?
n
Let r be 1/(-2) + 15/42. Let d = 3/9254 - -37001/46270. Let c = -37 - -186/5. What is the nearest to d in r, c, 0.3?
0.3
Let r = 0.137 - 106.137. Let j = 105.9 + r. Let z = 11/16 + -1/48. Which is the nearest to -1/4? (a) j (b) z (c) 2
a
Let i = -27499/201498 + 1/9159. Let s = 1/12 - -1/4. Which is the closest to 0? (a) -1 (b) s (c) i
c
Let f be 3/(-6) - ((-2107)/1372 - 2/(-7)). Which is the closest to -1/2? (a) f (b) 0.5 (c) -1 (d) -0.09
d
Let x = -0.01 + -2.99. Let q = -215 + 215. Let o = -219 - -223. Which is the nearest to q? (a) x (b) o (c) 5
a
Suppose -15 - 5 = -4*o. Let y be (3168/180)/(-22)*10/2 + 2. What is the closest to 9 in 0.4, o, y?
o
Suppose 5*k + 2*u = 7, 5*k - 262*u - 8 = -265*u. Which is the nearest to k? (a) -4 (b) -0.2 (c) -2 (d) -0.359
b
Let n = -0.09324 + -1.00676. Which is the closest to -1? (a) 9 (b) n (c) 1 (d) 0.3
b
Let o = 367.22 - 375.22. Let s = -1.94 - 0.06. Which is the nearest to o? (a) s (b) 2/5 (c) -1
a
Let q = 4.97 - -0.03. Let o = 4 - q. Let z be (-10)/8 + (1 - (135/12 - 10)). What is the nearest to o in 1, -1/10, z?
z
Let i be 4163/(-138) - -19 - (0 - 11). Which is the closest to i? (a) 11 (b) -2/59 (c) -0.1
c
Let p = -242/175 + 31/25. Which is the nearest to 1/4? (a) p (b) 5 (c) 2 (d) 1
a
Let l = 24 + -17. Suppose u + l = -5*p, p + p + 6 = -2*u. Let n = 35.3 + -30.3. Which is the nearest to 10? (a) p (b) 0 (c) n
c
Let r = 1175.6 - 1175. Which is the nearest to -1/4? (a) 0.3 (b) 30/13 (c) r
a
Let o = 0.166 - -30.834. Let u = o + -30.5. Let s = 6 + -6. What is the nearest to s in -2/9, 1/4, u?
-2/9
Let j(n) = -n**2 + 3*n + 69. Suppose 0 = 26*y + 168 + 14. Let p be j(y). Which is the nearest to -1? (a) p (b) 2/9 (c) 0.07
a
Let l = 107.679 + -107.979. Let y = -31.63 - 0.37. Which is the nearest to y? (a) l (b) 1/2 (c) 0.2
a
Let b = 5701 - 5706. Let u = 12 + -13. What is the nearest to b in 4/9, u, 0.4?
u
Suppose 5*s + 6 = 3*s, -26 = 5*d + 2*s. Let n = -1.3 - -3.3. Let w = -1505 + 1509. Which is the nearest to n? (a) w (b) d (c) -3
a
Let d = 0 + 0.1. Let l = -8.43 + -130.77. Let o = l + 139. What is the closest to -1 in d, -2.2, o?
o
Let o = -6.93 + 6.53. Which is the nearest to -0.1? (a) 0.4 (b) 4/11 (c) 0.3 (d) o
d
Let o(l) = -26*l - 173. Let u be o(-7). Suppose -u*f = -33*f + 72. Which is the closest to -1? (a) 3/37 (b) f (c) -0.5
c
Suppose -29*u = -22*u - 40 + 19. Which is the nearest to -2/5? (a) -202 (b) -1/4 (c) u
b
Let k = 0.285 + -4.285. What is the nearest to 6 in -29, 3, -2, k?
3
Let i = -8.72 - -11.72. Let t be 24/(-40)*(-2 - 64/(-42)). Which is the nearest to t? (a) 0.4 (b) 17 (c) i
a
Let z = 0.923 + -1.223. Let f = 1334 + -1334.01. Let k = -1.8 + 2. Which is the nearest to 1? (a) f (b) z (c) k
c
Let l = -685 + 799. Let u = -113 + l. Suppose j = 4*t, 2*t - 3*j = -0*j + 10. Which is the closest to -8? (a) u (b) t (c) 2
b
Let n be (88/(-5))/(74/(-10) - -7). Which is the nearest to n? (a) -0.1 (b) 0.2 (c) -2/9
b
Let p be 0 + (-6 + -4 + 9)/15. Which is the nearest to p? (a) 4 (b) 0.1 (c) 4/3 (d) -2/5
b
Let s = 1002561.6 + -1002562. Let u = -3 + 4. Suppose -7 - u = 4*p. Which is the closest to 1? (a) s (b) 2/5 (c) p
b
Let x = -333.4 + 333. Let y = 41 + -46. Which is the nearest to -0.1? (a) x (b) y (c) -0.3
c
Let p = -627.8 + 630.8. What is the nearest to 1/4 in 1, -4, p, 6/5?
1
Let i = -5783 - -5782.9. What is the closest to i in -4, -13/7, -6?
-13/7
Let t = 0.4 - -0.6. Let k be 13/(-91) - 36836/133 - -1. Let p = k + 276. What is the closest to -2/11 in 2, p, t?
p
Let y = -10 + 183. Let f = y + -173.2. What is the closest to f in -2/5, 2/7, 1, -0.3?
-0.3
Let a = -5.81 - -6.31. Let z be 10*((-618)/(-210) - 3). What is the closest to 7 in z, a, -0.5, 5?
5
Suppose -47*o + 46*o + 3 = 0. Suppose -d + o = -3*b, -2*d + 2*b = 6*b + 4. Let k = 0.09 + 0.91. What is the closest to 0.1 in k, d, 17?
d
Let z = -0.17 + -0.03. Let g = -3.89 + 3.89. Let s = -9 - -7. Which is the nearest to z? (a) g (b) 0.5 (c) s
a
Suppose -18*t = -20 - 34. What is the nearest to -0.2 in t, -10, -2/7?
-2/7
Let s = 0.3 + -0.19. Let n = s - -1.89. Let l = 287 + -291. What is the nearest to l in n, 4, -0.5?
-0.5
Let o = -3.1 + 0.1. Let g = -0.00491 + 0.00491. Let y = 138 + -137.8. Which is the nearest to 5? (a) y (b) o (c) g
a
Let u = 0.2 + 0.8. Let j(n) = -469*n + 3752. Let f be j(8). Which is the closest to -2/3? (a) 0.2 (b) f (c) u
b
Let n = -1.843 - 0.117. Let v = n - 0.04. Let p = 13206 - 13205.9. What is the closest to p in -0.5, v, 0.2?
0.2
Let o = -9 + 10. Let x = -2.53 - -2.59. What is the closest to x in o, 0, -2/5?
0
Let c = 31 - 22. Let n be (-1)/13 - 1137633/637. Let b = n + 8927/5. What is the closest to 1 in c, b, 1?
1
Let w = -313/6 - -52. Let h be (4 - 2) + (-26 - -17). Which is the nearest to h? (a) -5 (b) w (c) 1/6
a
Let h = 102.7 + -103.7. Let k = 15.2 + -14.7. Which is the nearest to h? (a) -4 (b) 5 (c) k
c
Let o be -5 - ((-180)/(-270))/(4/(-26)). What is the nearest to 124 in o, -0.3, 4?
4
Let t = 5147 - 5147.1. What is the closest to -2/5 in 30, 0.5, -1/5, t?
-1/5
Let w = -0.02172 - -1.02172. What is the nearest to 0 in w, 0.5, -47.1?
0.5
Suppose -275 + 23 = -4*g. Let w be (g/(-33) + 2)/((-6)/12). Let q = -2/63 - 19/63. Which is the closest to -2? (a) -1/2 (b) q (c) w
a
Let f = -41.3 + 41. Let t = 135/4 + -34. What is the closest to 2 in -0.2, f, t?
-0.2
Let h(r) = -r**3 - r**2 - 2*r + 4. Let p be h(-4). Let w = p + -178/3. Let x = -8 - -4. What is the nearest to w in x, -1/4, -6?
-1/4
Let q = 33 - 32.62. Let h = 5.78 - q. Let m = h + -0.4. W
|
{
"pile_set_name": "DM Mathematics"
}
|
w.
-5*w
Expand (41*u - 21*u**4 - 41*u)*(-2 + u + 2).
-21*u**5
Expand (4*o + 4 - 1 - 1)*(-o - 3*o + 2*o).
-8*o**2 - 4*o
Expand (0*m**3 + m**3 + 0*m**3)*((4 + 1 - 3)*(1 - 2 - 1) + (4 - 6 + 3)*(-4 + 1 + 1)).
-6*m**3
Expand (-10*k - 6*k**2 + 10*k)*(65*k - 65*k + 22*k**2).
-132*k**4
Expand (6 - 1 - 4 + (-3 + 4 - 2)*(0 - 2 + 0))*(0*h + h + h).
6*h
Expand j - 2 + 2 + (-j - 2*j + 0*j)*(-1 + 2 + 0) + 2 + j - 2.
-j
Expand -18*j**5 - 8*j - 7*j + 16*j**5 + (-3 + 3 - 2*j)*(j**4 - 3 + 3).
-4*j**5 - 15*j
Expand (0 + 0 - g)*(3 - 3 - 2) - 2*g + 4*g + 6*g + g - 3*g - g + 2*g + 1 - 1 + (1 + 1 - 1)*(2*g - 2 + 2).
11*g
Expand 2*j + 4 - 4 + (1 - 1 + 2)*(1 - 1 + j) + (-j - 3*j + 3*j)*(2 + 1 - 4) + 23*j + 2 + 19*j - 48*j.
-j + 2
Expand 2*c - 154 + 154 - c**3 + (2*c - 1 + 1)*(-5*c**2 + 2*c**2 + 2*c**2).
-3*c**3 + 2*c
Expand 3 - 2*g - 3 + (-2 - 3 + 1)*(-4 - g + 4).
2*g
Expand (0 + 0 + f + (-2 + 2*f + 2)*(5 - 2 - 1) - 2*f - f + 10*f)*(1 - 2 - 1).
-24*f
Expand (-2*y**4 + 2*y**4 + 1 - 6*y**4)*(-1 + 3 - 3).
6*y**4 - 1
Expand (5*g + 3*g**2 - 3*g - 4*g**2)*(-4*g + 0*g + g + (6 + 3 - 2)*(2*g + 0 + 0))*(0*g - 3*g + 5*g).
-22*g**4 + 44*g**3
Expand (-6*j + 2*j - 11*j)*(0 - 1 + 0)*(0*j**4 + j**4 + 0*j**4).
15*j**5
Expand (1 - 2 - y - 1)*(17*y - 6*y**3 - 17*y).
6*y**4 + 12*y**3
Expand (w - 4*w + 0*w)*(-3 - 3 + 4).
6*w
Expand (5 - 3 + 0)*(-4*b**2 - 6*b**2 + 6*b**2).
-8*b**2
Expand (3 - 3 + 1)*(-3*w**3 - 2*w**3 + 2*w**3 + (-w + 3*w - w)*(-4 + 4 + 2*w**2)).
-w**3
Expand (0 - 4 + 5)*(2*o**4 - 5*o**4 + 4*o**4) + o**4 - 4*o**2 + 4*o**2 + (0*o**3 + 0*o**3 + o**3)*(0*o + 2*o - 4*o) - 2*o**4 - 2*o**4 - o**4.
-5*o**4
Expand 0*b**3 + 2*b**4 + 0*b**3 - 11*b**3 + 11*b**3 - b**4 + 0*b**2 + 0*b**2 - 2*b**4 + (-3*b**3 + 3*b**3 - 2*b**4)*(2 - 1 + 0).
-3*b**4
Expand 0*f**3 + 0*f + 2*f**3 + 2*f + (-2 + 2 + f)*(3*f**2 - 3 + 3).
5*f**3 + 2*f
Expand (-7*y + 3*y - y)*(-3 - y + 3 + (0*y + 3*y - 4*y)*(2 - 5 + 2) + 1 - 1 + 2*y).
-10*y**2
Expand p**3 - 4*p**3 + p**3 + (-3*p**2 + 0*p**2 + 0*p**2)*(-3*p + 0*p + p) - 2*p**3 + 2*p**3 + 2*p**3.
6*p**3
Expand (2*y - y + 0*y)*(1 - 1 - 1 + 3 - 5 + 3 - 2 + 2 - 2 + 0 + 6 - 4 + (-4 - 1 + 3)*(4 + 1 - 4) - 2 + 1 - 1 - 2 + 6 - 3 + 1 + 1 + 0).
-y
Expand (-4 + 2 + 0)*(-j - j + 3*j) + (0*j + 0*j + 2*j)*(0 - 5 + 0).
-12*j
Expand -3*d**4 - 6 + 2*d + 6 + (-3*d**2 - 2*d**2 + 3*d**2)*(-d**2 + 5*d**2 - 2*d**2) + 3*d**4 + 0*d**4 - 5*d**4 - 5*d**3 + 5*d**3 - 6*d**4.
-15*d**4 + 2*d
Expand -v**4 + v**4 + 2*v**5 + (3*v**4 - 2*v**4 - 3*v**4)*(0 + 2 - 4)*(4*v + 5*v + 0*v).
38*v**5
Expand (-1 + 3 + 0)*(7 + 6 - 7)*(-2*r**4 + 5*r**4 - r**4).
24*r**4
Expand 21*r**5 + 17*r**5 - 26*r**5 + (0*r**4 - 3*r**4 + 2*r**4)*(-6*r + r + 3*r).
14*r**5
Expand (5 - 4 + 1)*(0 + 2*u**2 + 0) + (-4 - 3*u - 1 + 3)*(-1 + 1 - 4*u).
16*u**2 + 8*u
Expand (4 - 4 - k)*(-2 - 2 + 3) + k - 9*k + 17*k.
10*k
Expand (-2*g - 2*g - g)*(5 - 2 - 1)*(-2*g**2 + 2*g**2 - 2*g**3).
20*g**4
Expand (2*s - 2*s + s)*(-2 - 1 + 2)*(-2 + 4 - 5).
3*s
Expand 3*u + 2*u - 6*u + u - 3 + 3 + (-3*u + 3*u - 2*u)*(-3 + 0 + 1) - 3*u - 3*u - u.
-3*u
Expand (1 - 1 - 1)*(-2 - 2 + 3)*(-s**2 - s**2 - s**2).
-3*s**2
Expand (-4 + b + 4)*(22*b + 3*b**2 - 22*b).
3*b**3
Expand (0 + 4*t - 3 + 1)*(-1 + 1 + 3*t**2).
12*t**3 - 6*t**2
Expand (2*q**3 + 2*q**2 - 2*q**2)*(4*q**2 - q**2 - 2*q**2) + q**5 + 2*q**3 - 2*q**3 + (-3*q**4 + 3*q**4 + q**5)*(-3 - 1 + 6).
5*q**5
Expand (5 - 2 - 4)*(-5*d**2 - d**2 - 3*d**2)*(0*d + 3*d - d).
18*d**3
Expand 3*s**3 - s**3 - 3*s**3 + (-3*s**2 - 3*s**2 + 4*s**2)*(2*s + s - s) - 2*s**3 - s**3 + 4*s**3 - 27*s**3 + 18*s**3 + 37*s**3.
24*s**3
Expand (4*b + 0 + 0)*((0 - 4 + 5)*(3 + 2 - 7) - 4 + 1 + 0).
-20*b
Expand 0*r**3 + 4*r**5 + 0*r**3 + (5*r - 4*r + r)*(4*r**4 - 2*r**4 - 3*r**4) + 13 - 13 + 8*r**5.
10*r**5
Expand (-26 - 7 + 4)*(-3*g**3 - 2*g**5 + 3*g**3 - 2*g**5 - g**5 + 2*g**5 - 2*g**5 - g**2 + g**2 + (-3*g**2 + g**4 + 3*g**2)*(g + 1 - 1)).
116*g**5
Expand (3 + 0 - 1)*(-2*i + i + 0*i)*(4*i - 2*i - 4*i).
4*i**2
Expand (2*r - 3*r + 3*r)*(r**4 - r**4 + 2*r**4) - 4*r**5 + r**5 + 4*r**5 + (-7 + 7 - r**3)*(r**2 + 2*r**2 - r**2).
3*r**5
Expand (-2 + 5 - 4)*(-3*n**2 + 3*n**2 - 2*n**2)*((-2 + 2 - 2*n)*(-3 + 3 + n) - 4*n**2 + 2*n**2 - 3*n**2).
-14*n**4
Expand (3*a**2 - a**2 - a**2)*(-4 + 2 + 1) - 28 - 42*a**2 + 28.
-43*a**2
Expand (2*s - 1 + 3 - s)*(-3*s**2 + s**3 + 3*s**2) + 22*s - 22*s + 4*s**4 + (-s**2 + 2*s**2 - 2*s**2)*(0*s**2 - 2*s**2 + 0*s**2).
7*s**4 + 2*s**3
Expand (-5*o + o + 0*o)*(4 - 4 + o)*(-5 + 5 - 3).
12*o**2
Expand (2 + 4 - 4)*(-t**2 - 3*t**4 + t**2) + (4*t**2 + 0*t**2 - 3*t**2)*(t - t + 2*t**2) - 4*t**4 + 3*t**2 - 3*t**2.
-8*t**4
Expand (-2*f**3 + 2*f**3 + f**3)*(2*f - 3 - 4 + 1).
2*f**4 - 6*f**3
Expand (-2*r - r + 7*r)*(-1 + 3 + r - 3*r).
-8*r**2 + 8*r
Expand (-2 + 2 - 2 + (-1 - 3 + 5)*(5 - 3 - 4))*(9*d + 22*d + 5*d).
-144*d
Expand (3*f - 2*f - 4*f - 2*f + 3*f + 0*f - 4*f + 5*f - 3*f + (1 - 3 + 4)*(-2*f + 0 + 0) + f + 0*f + 0*f)*(-2*f - f - 2*f)*(2 - 1 + 0).
35*f**2
Expand (-1 - m + 1)*(-3*m**2 + 4*m**2 - 3*m**2)*(1 - 1 + 2*m)*(60*m + 1046 - 1046).
240*m**5
Expand ((1 - 1 + r)*(r**2 + 0*r**2 + 0*r**2) + (2*r**2 - 4*r**2 + 4*r**2)*(6*r + 0*r - 2*r))*(2 + 2*r - 2).
18*r**4
Expand ((-1 + 1 + 1)*(1 + n - 1) - 7*n + 2*n + 2*n + n + n - 3*n)*(0*n**2 - 3*n**2 + 2*n**2) + 5*n - 5*n + n**3.
4*n**3
Expand (2*h + 0*h - 4*h)*(-4 + 4 + 2*h**2 - h + h**2 + h + (2*h - h - 2*h)*(h + 3*h - 2*h)).
-2*h**3
Expand -1 - u**3 + 1 + (-1 - 3 + 3)*(0*u**2 + 0*u**2 - 2*u**3) + 3 - 3 + u**3.
2*u**3
Expand (-1 + 4 - 2 + 25*l)*(l - 1 + 1).
25*l**2 + l
Expand (-3 - 2*z + 3)*(-3 + 4 - z - 3).
2*z**2 + 4*z
Expand ((-1 + 2*o**2 + 1)*(o**3 + 0*o**3 + 0*o**3) + 3*o - o**5 - 3*o + 5*o**2 - 5*o**2 - 4*o**5 - o**5 + 2*o**5 + o**5)*(1 + 4 - 3).
-2*o**5
Expand -3*f - 2*f + 3*f + (1 - 2*f - 1)*(1 + 2 - 2) - f + 3*f - 3*f + (5 - 4 - 3)*(2*f + 3*f - 3*f) + 6*f - 3*f - 2*f.
-8*f
Expand (a - 3*a + 3*a)*(-6 + 5 + 3 + (-6 + 2 + 2)*(-2 + 1 + 2) + 1 - 2 + 2).
a
Expand (2 + 3*i - 3*i + 2*i)*(i + 4*i - i) + (2 - 2 + 2*i)*(-4*i + 5*i + 4*i) + 5 - 5 - 2*i**2.
16*i**2 + 8*i
Expand 7*v**5 - 2*v**5 - 2*v**5 + (v**4 + 4*v**4 - 4*v**4)*(5*v - 2*v - 2*v).
4*v**5
Expand (2 + 0*m + 2*m + m + 2*m**2)*(0*m**3 + 3*m**3 - m**3).
4*m**5 + 6*m**4 + 4*m**3
Expand (-b + 2*b + 3*b)*(-2 + 2 - 2)*(1 + 0 + 0)*(-2 + 5 - 2).
-8*b
Expand -8*f - 68 + 32 + 32 + 0*f - f - f + (-2*f + 3*f - 3*f)*(4 + 2 - 4).
-14*f - 4
Expand 0 + 0 - 5*f + (f + 2*f - 6*f)*(-4 - 2 + 5).
-2*f
Expand (l + 3*l - 2*l)*(0*l + 0*l - 16*l).
-32*l**2
Expand p**2 - p**2 + 2*p**4 - 2*p + 2*p + p**4 + (p - p + 2*p)*(-2 + 2 + 2*p**3) - 4*p**4 + p**4 - 2*p**4.
2*p**4
Expand (-1 - 3 + 6)*(-4 - 3 + 4)*(2 - 2 + 3*b).
-18*b
Expand (-9 - 1 + 0)*(0 + d**3 + 0).
-10*d**3
Expand (3 - 3 - 2)*(-k**3 + 1 - 1) - 4*k**3 + k**3 + 2*k**3 + 5*k**3 - 3*k**3 - k**3 - 4*k**2 - 3*k**3 + 4*k**2 + k**3 - 5*k**3 + k**3.
-4*k**3
Expand -4*v**2 - 2*v**2 + 4*v**2 + (3 - 3 + 2*v)*(2*v + 0*v - 4*v) - 2 - v**2 + 4*v**2 - v**2.
-4*v**2 - 2
Expand (0 + 2 - 4)*(-6*h + 4*h - h)*(-3 + 5 - 4)*(-h + 0 - 2 + 9).
12*h**2 - 84*h
Expand (2 + 20 - 9)*(-w**4 + w**3 - w**3).
-13*w**4
Expand -4*d - 6*d + 2*d + (0 - 2 + 1 - 1 + 1 - 1 + (3 + 2 - 3)*(5 - 1 - 5) - 1 - 1 + 0)*(-7*d + 2 - 2).
34*d
Expand (2*n**2 - 5*n**2 + 2*n**2)*(-10 + 10 - n**2)*(4 - 5 + 3).
2*n**4
Expand (1 - 5 + 3)*(35*w + 128*w + 20*w + 68*w).
-251*w
Expand (0*y**5 + 2*y**5 + 0*y**5)*((40 + 27 - 85)*(-4 + 5 + 0) - 2 + 0 + 4).
-32*y**5
Expand (-6 + 2 + 3)*(-7*f + 0 + 0) + (1 - 3 + 0)*(-4*f + 0*f + 3*f).
9*f
Expand -107 + 172 + h - 2*h + (-1 - 5 + 4)*(-3*h + 3*h + 2*h).
-5*h + 65
Expand 3*z**5 + z**2 - z**2 - 5*z**5 + 0*z**5 + z**5 + (-z**3 + z**3 - 2*z**5)*(2 - 1 + 1).
-5*z**5
Expand (9*i**4 - 5*i**4 + 6*i**4)*(i + i + i).
30*i**5
Expand (-q**2 + 5*q - 5*q)*(-q**2 - q + q + (3*q**2 + 2*q**2 - 2*q**2)*(3 - 3 + 2)).
-5*q**4
Expand -4*o**3 - 1 + o**3 - 1 - o**3 + o**3 - 2*o**3 - 2*o**3 + 2*o**3 - o**3 + (o - 2*o - o)*(o**2 - 3*o**2 + 0*o**2) + 3*o**3 - 3*o**3 - 2*o**3.
-4*o**3 - 2
Expand (-n + n - n)*(2*n**2 - n**2 + 0*n**2) + (-3 + 4 - 3)*(-4*n + 2*n**3 + 4*n) + (0*n**2 + 2*n**2 + 0*n**2)*(0*n + 0*n + 3*n).
n**3
Expand (p + 4*p - 2*p)*(33*p - 19*p - 22*p + 5*p + 3*p - 6*p + (-1 + 4 - 4)*(3*p - 3*p + p) + 4*p - 2*p + 0*p + p - 4*p + 5*p).
-9*p**2
Expand (2 - 1 - 2)*((2*f + 2*f - 3*f)*(-1 + 0 + 3) + 2*f - f -
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by 4?
3
Suppose -4*x - 3*v = -55 + 20, 0 = -4*x - 2*v + 34. Suppose -6*i + 238 = -x. Suppose -24 = -5*r + i. Calculate the remainder when r is divided by 8.
5
Let g = 549 + -544. Suppose -3*i + 4 = -5*k - 18, -i = g*k - 34. Calculate the remainder when 39 is divided by i.
11
Suppose 2*g + 23 = 2*l + g, 5*l - g - 65 = 0. Suppose -551 = -5*d - 4*i, -2*d + 2508 = 4*i + 2290. What is the remainder when d is divided by l?
13
What is the remainder when 33 is divided by (-110)/(-5) - 5 - -5?
11
Suppose 0 = 4*m + v - 4, -6*m - v = -m - 6. Suppose -3*i - 2*k = -196, -m*i + 79 = 5*k - 37. Calculate the remainder when 134 is divided by i.
66
What is the remainder when (14 - 12)*(-5 + 6843/6) is divided by 1131?
9
Suppose -4*w = -4*q - 21556, -16165 = -2*w - w + 4*q. Calculate the remainder when w is divided by 142.
137
Let b be ((-2)/10)/((-3)/885). Suppose -5*c + b - 9 = 5*q, -3*c + 9 = 0. What is the remainder when (-1 - 0)/((-1)/40) is divided by q?
5
Let y(x) = x**3 + 59*x**2 - 188*x - 120. What is the remainder when 1371 is divided by y(-62)?
3
Suppose 3 = -3*a - 23*n + 22*n, -5*a - 5*n = -5. Calculate the remainder when 72/a*(-44)/11 is divided by 22.
12
Let g = 11244 + -11220. Calculate the remainder when 1387 is divided by g.
19
Let n(q) = q**3 + 8*q**2 + q + 4. Let i(p) = -2*p**2 - 3*p - 8. Let v be i(4). Let b = 68 + v. What is the remainder when n(-7) is divided by b?
14
Let s(f) = -f**3 + 19*f**2 + 8*f - 28. What is the remainder when 1023 is divided by s(6)?
47
Suppose 68*d - 38127 - 102429 = 0. Calculate the remainder when d is divided by 2065.
2
Suppose 3340 = 2*n - 2*m, 5*n - 4*m - 13216 = -4874. What is the remainder when n is divided by 509?
135
Let i = -9900 - -9960. Calculate the remainder when 665 is divided by i.
5
Let r(a) = 3238 + a**2 - 14*a - 3163 + 0*a**2. Calculate the remainder when r(15) is divided by 25.
15
What is the remainder when (-10)/(-120)*0 - -241 is divided by 39?
7
Let t(b) = 3*b**2 - 13*b + 250. Calculate the remainder when t(17) is divided by 3.
2
Suppose -259*d + 72324 = 28*d. What is the remainder when 585 is divided by d?
81
Let w(b) = b**2 + 21*b - 2086. Calculate the remainder when 125 is divided by w(37).
5
Suppose 2*f - 211 = 249. Calculate the remainder when f is divided by ((-33)/(-2))/(((-4)/8)/(-1)).
32
Suppose 0 = -y + 4*l + 544 + 589, -5 = -5*l. What is the remainder when y is divided by 23?
10
Suppose 24*n - 5258 - 2579 = -2605. Calculate the remainder when 627 is divided by n.
191
Let w(q) = -q**3 + 13*q**2 + 74*q - 786. Calculate the remainder when 308 is divided by w(14).
38
Let x = 193 - 184. Let g(v) be the first derivative of 2*v**3/3 - 13*v**2/2 - 7*v - 12. What is the remainder when g(x) is divided by 5?
3
Suppose -60*f + 85534 = -40406. What is the remainder when f is divided by 15?
14
Suppose 4*o = 8*o - 176. Suppose 4*b + 3*w = 48, 5*b + w - 4*w = 33. Calculate the remainder when o is divided by b.
8
Suppose 0 = -116*w + 266121 + 886914 + 5805. What is the remainder when w is divided by 3328?
6
Suppose -3*y - n + 356 = 87, -4*n = 4. Calculate the remainder when y is divided by (48/72)/(6/207).
21
Let p = 18720 - 18545. What is the remainder when p is divided by 148?
27
Suppose 6*w + 25 = 2*i + 9*w, -3*i + 44 = -2*w. Calculate the remainder when (2/10)/(i/(-28))*-205 is divided by 31.
20
Let s = 33 - -34. Calculate the remainder when s is divided by ((-805)/105)/((-1)/3).
21
What is the remainder when (-1368 - -239)/(-2 + 0 + 1) is divided by 126?
121
Let z(c) = 1567*c + 1. Let k(t) = -2*t**2 + 5*t - 4. Let y be k(2). Let g be z(y). What is the remainder when g/(-39) - (-8)/(-6) is divided by 12?
7
Let h(b) = 8*b - 246. What is the remainder when h(37) is divided by (45/(-12) - -2)*-8?
8
Suppose 0 = 5*j + 4*q - 322, -5*j = -4*q + 2*q - 334. What is the remainder when j is divided by 21 - 14 - -5 - (30 - 23)?
1
Let y = 172 + -71. Let x = -3 + 1. Let g(a) = 9*a**2 + 6*a + 2. Calculate the remainder when y is divided by g(x).
23
Let o(m) = -2*m - 17. Let z(p) = 5*p + 34. Let k(x) = -9*o(x) - 4*z(x). Calculate the remainder when k(-26) is divided by 10.
9
Suppose 19*n - 101802 + 15276 = 0. Calculate the remainder when n is divided by 19.
13
Let f be 20/40*(760 - -2). Let p = 640 - f. Calculate the remainder when p is divided by 79.
22
Let b = 1401 - 1358. Calculate the remainder when b is divided by 11.
10
Let u(i) = i**3 + 30*i**2 + 143*i - 6. Calculate the remainder when u(-7) is divided by 74.
46
Suppose -4*m + 3*m + 5*b = -19, -3*m + 2*b = -57. Suppose -5*v = 2*o - m - 8, -o = -2*v + 9. Calculate the remainder when v is divided by 5.
0
Suppose v + 241 = -m, -5*v = m - 65 + 286. Let b = 275 + m. Calculate the remainder when 49 is divided by b.
20
Let b(z) = 20*z**2 - 78*z - 269. Calculate the remainder when 12467 is divided by b(-3).
142
Let m = -1026 + 1050. Calculate the remainder when 2062 is divided by m.
22
What is the remainder when 996 is divided by ((-46)/10)/(5 - (-260)/(-50))?
7
Let b(l) = -l**3 + 22*l**2 - 35*l - 14. Calculate the remainder when 218 is divided by b(20).
46
Suppose -11*l = -0*l - 27148 + 836. What is the remainder when l is divided by 14?
12
Let j be 24/(-4)*28/(-6). Suppose 5*f = -2*u + j, -3*f + 7*f - 23 = -u. Let c = -40 + 59. What is the remainder when c is divided by f?
1
Let t be (48/6)/((-1)/16). Let u = -29 - t. Let k(d) = 2*d**2 - 11*d - 13. What is the remainder when u is divided by k(-2)?
14
Let r = -23238 - -23298. What is the remainder when 2211 is divided by r?
51
Let l(o) be the third derivative of -o**4/6 + 25*o**3/6 - 7*o**2. Let h = 96 + -93. Calculate the remainder when 49 is divided by l(h).
10
Suppose 0 = -5*z + 83 - 8. Suppose 4*o = h - 14, -4*h - z*o = -10*o - 14. What is the remainder when 40 is divided by h?
4
Let u be (249 - 15) + 2/2. Suppose -18*v + 89 + u = 0. Calculate the remainder when 71 is divided by v.
17
Suppose 23*y - 2055 = 8*y. Let q = y + -107. What is the remainder when 176 is divided by q?
26
Suppose 0 = -18*z + 16*z + 10. Suppose -4*x + 4*r + 445 = 145, z*x + 4*r - 375 = 0. Suppose -x - 45 = -4*d. What is the remainder when 86 is divided by d?
26
Let z = -45 + 48. Suppose -k - 4*a + 0*a + 45 = 0, 4*k - 199 = z*a. Suppose -4*m + k = 4*c + c, 5*m - 3*c = 89. Calculate the remainder when 31 is divided by m.
15
Let j(h) = -2*h**2 - 26*h - 31. Let p be j(-10). Suppose p*c + 320 = 2495. What is the remainder when c is divided by 15?
0
Let h(p) = -13*p + 324. Let t be h(11). Suppose 21*w - 134 = t. What is the remainder when (-2 + 4 - 1)*132 is divided by w?
12
Suppose 2*l - 3*h - 14 = 14, h + 46 = 4*l. Suppose -138 = 5*p - l*p. Calculate the remainder when 90 is divided by p.
21
Let s be (48/(-10))/((-15)/(-50)). Let g = -3 - s. Suppose 3*l = -l - 5*d + 53, 4*l + 4*d = 48. What is the remainder when g is divided by l?
6
Calculate the remainder when -1 + 4 + -3 - (28224/4)/(-14) is divided by 19.
10
Let m = -5 + 5. Let p(a) = -a + 98. Let u(v) = v**2 - v - 30. Calculate the remainder when p(m) is divided by u(8).
20
Let m(i) = -2*i**3 + 52*i**2 - 62*i + 1684. Suppose 0 = -4*t + 5*t + 5*o - 28, 4*o = -t + 30. Calculate the remainder when m(26) is divided by t.
34
Let a(w) = 13*w**2 - 5*w + 1. Suppose -64 = -12*p + 8. Calculate the remainder when a(p) is divided by 26.
23
Let s = -529 + 632. Let a = -9 + 12. Suppose 5*m - a*y - 66 = 27, -m - 2*y + 29 = 0. Calculate the remainder when s is divided by m.
19
Let n(a) = -a - 35. Let h be n(-37). Suppose 5*o - r - 82 = 0, r = h*r - 3. Calculate the remainder when -47*(-1)/(3 + -2) is divided by o.
13
Suppose -v = 5*r + 287, -3*r + 2*v + 3*v = 189. Let w = r - -168. Suppose 0 = -5*m + 10*m - w. What is the remainder when 83 is divided by m?
17
Suppose 0*a - 2247 + 559 = -8*a. Calculate the remainder when a is divided by 32.
19
Let j = -47 + 47. Let m be 4/10 - (18/(-5) + j). Suppose m*o = 2*o - c + 25, 4*o = -4*c + 40. Calculate the remainder when o is divided by 6.
3
Suppose 4*c + 28 = -20. Let k(y) = -11*y**2 + 600 - 1248 + 14*y + y**2 - y**3 + 624. What is the remainder when k(c) is divided by 25?
21
Let f = -3129 + 3150. Calculate the remainder when f is divided by 15.
6
Calculate the remainder when 555 is divided by ((-560)/(-56))/(((-30)/(-153))/5).
45
Let m(j) =
|
{
"pile_set_name": "DM Mathematics"
}
|
-502, -706?
-962
What is the next term in -341, -528, -729, -950, -1197, -1476, -1793?
-2154
What comes next: -266, -1060, -2382, -4232, -6610, -9516?
-12950
What is next in 395, 394, 393, 392, 391, 390?
389
What comes next: -1, 15, 47, 89, 135, 179?
215
What comes next: -162, -341, -520, -699, -878?
-1057
What is the next term in -119, -231, -337, -437, -531, -619, -701?
-777
What comes next: -2655, -2662, -2673, -2688, -2707, -2730, -2757?
-2788
What comes next: 63, 151, 235, 315, 391, 463, 531?
595
What comes next: 154, 151, 146, 139, 130?
119
What comes next: -11, -9, -7?
-5
What comes next: 445, 631, 829, 1045, 1285, 1555, 1861, 2209?
2605
What is next in -1220, -2445, -3670, -4895?
-6120
What is next in -529, -527, -525?
-523
What is next in -220, -227, -248, -289, -356, -455?
-592
What comes next: 330, 598, 878, 1176, 1498, 1850, 2238, 2668?
3146
What comes next: 16, 31, 46?
61
What comes next: 725, 2783, 6207, 10991, 17129?
24615
What comes next: -350, -691, -1032, -1373, -1714, -2055?
-2396
What is next in 9, 11, 1, -27, -79, -161, -279?
-439
What is the next term in 313, 315, 317, 319, 321, 323?
325
What comes next: 9, 73, 255, 615, 1213, 2109?
3363
What comes next: 12, 43, 94, 165, 256?
367
What is the next term in 2, 5, 10, 17, 26, 37?
50
What comes next: 4, 15, 34, 61, 96?
139
What is the next term in 16754, 16763, 16786, 16829, 16898, 16999, 17138, 17321?
17554
What is the next term in 1730, 1725, 1718, 1709?
1698
What comes next: -188, -185, -182, -179, -176?
-173
What comes next: 115, 233, 353, 475, 599, 725?
853
What comes next: -11, -21, -29, -35?
-39
What is next in 142, 282, 420, 556, 690?
822
What is the next term in -421, -420, -417, -412, -405, -396, -385?
-372
What is next in -34, -56, -76, -94?
-110
What is the next term in 168, 166, 164?
162
What is the next term in -29, -70, -139, -236, -361, -514?
-695
What is the next term in -4803, -9600, -14399, -19200?
-24003
What comes next: -14, -14, -16, -20, -26, -34?
-44
What comes next: 9, 115, 405, 969, 1897, 3279, 5205?
7765
What is next in 26, 48, 74, 104?
138
What comes next: 287, 284, 281, 278, 275, 272?
269
What is the next term in 63, 110, 167, 240, 335, 458, 615?
812
What is next in 224, 446, 670, 896, 1124?
1354
What comes next: 180, 387, 594, 801, 1008?
1215
What comes next: 92, 92, 84, 62, 20, -48, -148?
-286
What is next in 66, 109, 154, 201?
250
What is the next term in 7, 2, -5, -14, -25, -38?
-53
What is next in -2, 7, 30, 73, 142?
243
What is the next term in 97, 79, 63, 49, 37, 27?
19
What is the next term in -199, -225, -251, -277, -303, -329?
-355
What comes next: 7, -53, -219, -545, -1085, -1893?
-3023
What is the next term in -5569, -11140, -16711, -22282, -27853?
-33424
What is next in -64, -270, -614, -1096?
-1716
What is next in 259, 523, 781, 1027, 1255, 1459, 1633?
1771
What comes next: 184, 180, 176, 172, 168?
164
What comes next: 118, 455, 1008, 1771, 2738?
3903
What is the next term in -52, -33, 12, 95, 228, 423?
692
What is the next term in -760, -742, -706, -646, -556, -430?
-262
What is next in 16, 1, -24, -59, -104?
-159
What comes next: 966, 1937, 2910, 3885, 4862, 5841?
6822
What is next in 291, 326, 373, 438, 527, 646, 801, 998?
1243
What comes next: -423, -421, -419, -417, -415?
-413
What is the next term in 43, 90, 137, 184, 231, 278?
325
What is next in -1381, -2768, -4177, -5620, -7109?
-8656
What is the next term in 279, 287, 291, 285, 263?
219
What is next in 11041, 22082, 33123, 44164, 55205?
66246
What is the next term in 2, -12, -36, -70?
-114
What is next in -3, -16, -39, -72?
-115
What comes next: -7, 2, 13, 26?
41
What is next in -2659, -5316, -7975, -10636, -13299, -15964, -18631?
-21300
What comes next: 17, 63, 141, 251?
393
What is the next term in -35, -127, -289, -527, -847, -1255, -1757, -2359?
-3067
What comes next: 726, 1449, 2166, 2871, 3558?
4221
What is the next term in 64, 104, 216, 436, 800, 1344?
2104
What is the next term in 32, 72, 122, 182, 252?
332
What comes next: -689, -1379, -2069, -2759?
-3449
What comes next: -201, -389, -581, -777?
-977
What is the next term in -1799, -1797, -1795, -1793, -1791, -1789?
-1787
What is the next term in -194, -190, -182, -170?
-154
What is next in 24, -18, -88, -186, -312?
-466
What is next in 2031, 2033, 2035, 2037, 2039?
2041
What is next in -2, 10, -6, -62, -170?
-342
What is the next term in 161, 322, 483, 644?
805
What is next in -3461, -3462, -3463, -3464, -3465, -3466?
-3467
What is next in 19, -19, -75, -155, -265?
-411
What is next in 42, 82, 118, 150, 178, 202, 222?
238
What is the next term in -336, -680, -1024, -1368?
-1712
What comes next: 96, 191, 286, 381?
476
What is the next term in -385, -391, -395, -397, -397, -395?
-391
What is the next term in -4, -28, -72, -136, -220, -324?
-448
What is next in -5, -31, -83, -167, -289, -455, -671, -943?
-1277
What is next in -9, 9, 63, 171, 351, 621, 999, 1503?
2151
What is next in 72, 146, 218, 288?
356
What is the next term in -2991, -5980, -8969?
-11958
What is the next term in -1336, -2681, -4026, -5371, -6716, -8061?
-9406
What is next in 7, 13, 11, -5, -41?
-103
What is the next term in -1222, -2442, -3662, -4882, -6102?
-7322
What is the next term in -342, -333, -310, -267, -198, -97, 42?
225
What is next in -306, -612, -918, -1224?
-1530
What is next in 17, 23, 5, -49, -151?
-313
What comes next: 4389, 4372, 4331, 4254, 4129?
3944
What is the next term in 108, 255, 388, 501, 588, 643, 660, 633?
556
What comes next: -2, -18, -38, -62, -90, -122?
-158
What comes next: 486, 485, 484?
483
What is next in 48, 78, 110, 144?
180
What comes next: 13, 29, 45, 61?
77
What is next in -2811, -2808, -2805, -2802, -2799?
-2796
What comes next: 33, 16, -25, -102, -227, -412?
-669
What is the next term in -65, -120, -173, -224?
-273
What is the next term in -138, -263, -384, -501?
-614
What is next in 225, 1769, 5955, 14103, 27533, 47565?
75519
What is next in -10, -33, -56, -67, -54, -5, 92?
249
What is the next term in -1076, -1083, -1094, -1109?
-1128
What comes next: -16, -26, -44, -76, -128?
-206
What is next in 1615, 1619, 1623, 1627?
1631
What is the next term in 429, 860, 1291, 1722?
2153
What is the next term in 45, 97, 153, 213, 277, 345, 417?
493
What comes next: 142, 102, 64, 28, -6, -38, -68?
-96
What comes next: -77, -153, -229, -305?
-381
What comes next: 136, 145, 154, 163, 172?
181
What is the next term in 437, 440, 443, 446?
449
What comes next: 243, 243, 247, 255?
267
What is next in 20, -65, -206, -403, -656, -965?
-1330
What comes next: -116, -242, -344, -410, -428?
-386
What is the next term in 2421, 4841, 7261, 9681, 12101?
14521
What comes next: 63, 218, 471, 822, 1271, 1818?
2463
What is next in 30, 45, 50, 45?
30
What is the next term in 36, 74, 112, 150, 188?
226
What is next in 1073, 1072, 1071?
1070
What comes next: -6, -11, -18, -27?
-38
What is the next term in -10933, -21866, -32799, -43732, -54665?
-65598
What is next in 417, 416, 415, 414, 413, 412?
411
What is next in -259, -256, -253?
-250
What comes next: -9, 28, 135, 348, 703, 1236?
1983
What comes next: 85, 76, 61, 40?
13
What is next in -3687, -7373, -11061, -14751?
-18443
What is the next term in -41, -84, -145, -230, -345, -496?
-689
What is the next term in -100, -92, -80, -64?
-44
What is next in -9593, -19185, -28777, -38369?
-47961
What is the next term in -96, -326, -706, -1236?
-1916
What comes next: -1142, -4633, -10458, -18623, -29134, -41997, -57218?
-74803
What is the next term in -240, -238, -236, -234, -232?
-230
What is next in -214, -223, -232, -241, -250?
-259
What is the next term in 29, 35, 35, 29, 17, -1?
-25
What is next in -5416, -5414, -5410, -5404, -5396?
-5386
What comes next: 15, 37, 69, 105, 139, 165, 177, 169?
135
What comes next: -28, 82, 270, 542, 904?
1362
What is next in -148, -144, -138, -130?
-120
What is the next term in 3, 104, 383, 930, 1835, 3188, 5079?
7598
What comes next: -55, -78, -65, 2, 141, 370, 707?
1170
What is next in -479, -958, -1437, -1916, -2395?
-2874
What is the next term in 947, 1881, 2815?
3749
What is next in 44, 83, 120, 155?
188
What comes next: -6255, -6253, -6241, -6213, -6163, -6085, -5973, -5821?
-5623
What is next in 6, -41, -126, -255, -434, -669, -966?
-1331
What c
|
{
"pile_set_name": "DM Mathematics"
}
|
n**2. What is g in k(g) = 0?
-1, 0, 1, 2
Let i(c) = c**4 + c**3 - c + 1. Let g(w) = -3*w**3 - 9*w**2 + 9*w - 3. Let j(l) = -g(l) - 3*i(l). Factor j(n).
-3*n*(n - 1)**2*(n + 2)
Let l(t) = -t**2 - t + 1. Let c(h) = -6*h**2 - 2*h + 2. Let g(x) = -c(x) + 2*l(x). Factor g(m).
4*m**2
Let y(m) = 4*m**3 - 6*m**2 + 3*m - 1. Let n(d) = -9*d**3 + 13*d**2 - 6*d + 2. Let t(w) = 3*n(w) + 7*y(w). Determine h so that t(h) = 0.
1
Suppose -6*f = 7*f + 12*f. Factor 0*y + 2/5*y**2 - 2/5*y**3 - 2/5*y**4 + 2/5*y**5 + f.
2*y**2*(y - 1)**2*(y + 1)/5
Let j(z) be the third derivative of -z**7/420 + z**6/80 - z**5/120 - z**4/16 + z**3/6 + 11*z**2. Factor j(i).
-(i - 2)*(i - 1)**2*(i + 1)/2
Let z = 17 - 17. Let k(u) be the first derivative of -1/4*u**2 + 1/8*u**4 + 1/3*u**3 - 1/5*u**5 + 3 + z*u. Factor k(w).
-w*(w - 1)*(w + 1)*(2*w - 1)/2
Let k = -4 - -9. Let v(f) = 3*f**5 - 2*f**4 + 4*f**2 - 3*f - 2. Let w(g) = 7*g**5 - 4*g**4 + 9*g**2 - 7*g - 5. Let m(l) = k*v(l) - 2*w(l). Solve m(x) = 0 for x.
-1, 0, 1
Find g such that 0*g + 0 + 2/13*g**2 = 0.
0
Let g(o) = 2*o**3 - 2*o**2 + o - 6. Let m(l) = -3*l**3 + 3*l**2 - 2*l + 11. Let s(n) = -5*g(n) - 3*m(n). Let x(v) = 1. Let p(q) = -s(q) - 2*x(q). Factor p(d).
(d - 1)**2*(d + 1)
Let l(q) be the third derivative of q**6/30 - q**4/6 + 11*q**2. Factor l(i).
4*i*(i - 1)*(i + 1)
Let s(t) be the first derivative of 0*t + 0*t**3 - t**5 - 1/2*t**4 + 0*t**2 + 7/6*t**6 - 3. Factor s(h).
h**3*(h - 1)*(7*h + 2)
Let o(n) be the first derivative of -3*n**4/20 + 2*n**3/5 - 20. Factor o(w).
-3*w**2*(w - 2)/5
Let y = -2 - 2. Let m(p) = p**3 + 4*p**2 - 2*p - 5. Let k be m(y). Factor -3*f**k + 3*f**3 + f**3 - f**2.
f**2*(f - 1)
Let h(f) be the first derivative of 51/2*f**4 - 18*f**5 + 2 + 9/2*f**6 + 6*f - 12*f**3 - 9/2*f**2. Solve h(q) = 0 for q.
-1/3, 2/3, 1
Let h(x) be the third derivative of 11*x**8/560 + 9*x**7/350 - 7*x**6/40 - 49*x**5/100 - 3*x**4/10 + 2*x**3/5 + 17*x**2. Let h(n) = 0. What is n?
-1, 2/11, 2
Let s be (-7)/(-3) + 1 - 20/10. Let -5/3*j**2 + 1/3*j**3 - s + 8/3*j = 0. What is j?
1, 2
Let y = 0 + 2. Let 6 + 6*x**2 - 14 + 8*x**y - 6*x**3 = 0. What is x?
-2/3, 1, 2
Suppose -3*z - 2*x = -2, -z + 2 = -5*x - 10. Let -2/3*l + 0 + 1/3*l**z = 0. Calculate l.
0, 2
Let k(h) = -h. Let v be k(-2). Factor -1 + s**4 + 0*s**2 - v*s**2 + 2.
(s - 1)**2*(s + 1)**2
Let k(o) be the third derivative of -o**7/245 + o**6/42 - o**5/210 - o**4/14 - o**2 + 2. Determine z, given that k(z) = 0.
-2/3, 0, 1, 3
Suppose -2*z + 4*f = -36, -2*f - 58 = -z - 4*z. Let c be 4/(z - 2/2). Let -2/9*b - 2/3*b**4 + 0 + c*b**5 - 2/9*b**3 + 2/3*b**2 = 0. What is b?
-1, 0, 1/2, 1
Let z be (-18)/(-18)*(-586)/6. Let q = 99 + z. Let -22/3*l + q*l**3 + 32/3*l**2 + 6*l**5 - 12*l**4 + 4/3 = 0. Calculate l.
-1, 1/3, 2/3, 1
Suppose 8/11 - 8/11*a + 2/11*a**2 = 0. What is a?
2
Let z(o) be the third derivative of o**8/112 - o**7/35 + o**6/40 + 5*o**2. Suppose z(h) = 0. What is h?
0, 1
Let h(t) be the first derivative of -t**7/24 + 11*t**6/60 + t**5/10 - t**4/3 - 3*t**3 - 4. Let k(x) be the third derivative of h(x). Factor k(i).
-(i - 2)*(5*i + 2)*(7*i - 2)
Let x(w) = -2*w**5 - 16*w**4 + 26*w**3 - 28*w**2 + 12*w - 4. Let r(a) = a**5 + a**4 + a**2 - a + 1. Let c(l) = -4*r(l) - x(l). Determine p so that c(p) = 0.
0, 1, 2
Factor -3/2*z**4 + 1/2 - 1/2*z**5 - z**3 + 3/2*z + z**2.
-(z - 1)*(z + 1)**4/2
Suppose 12*m = 10*m. Let g(k) be the third derivative of 1/315*k**7 + 1/72*k**6 + 1/72*k**4 + 1/45*k**5 + 0 + m*k + 0*k**3 - k**2. What is b in g(b) = 0?
-1, -1/2, 0
Let m be (54/(-21))/((-21)/98). Factor -m + 4 + 30*w**2 - 2*w**2 - 20*w.
4*(w - 1)*(7*w + 2)
Factor 15*j**2 - 365 - 3*j + 18*j**3 + 365.
3*j*(j + 1)*(6*j - 1)
Let r(l) = 24*l + 288. Let m be r(-12). Solve m*h - 1/4*h**2 + 0 = 0.
0
Let x be ((-34)/(-8) - (-42 + 46))*0. Factor -1/6*p**2 + x - 1/3*p.
-p*(p + 2)/6
Suppose -12*l + 11*l = 9. Let w(f) = -3*f**2 - 3*f + 6. Let y(a) = 7*a**2 + 6*a - 13. Let d(t) = l*w(t) - 4*y(t). Find u such that d(u) = 0.
1, 2
Factor n**2 - 2*n**2 + 8*n**2 - 10*n**2.
-3*n**2
Let g(a) = a**3 - 17*a**2 + 9*a + 11. Let c be -24 - (-2 - (1 - 1)). Let i(y) = -y**2 + 1. Let n(p) = c*i(p) + 2*g(p). Suppose n(v) = 0. What is v?
0, 3
Let a = 17 + -10. Factor 0*o + a*o**2 - 1 - 2 + 12*o - 1.
(o + 2)*(7*o - 2)
Let h(q) be the third derivative of 0*q + 7/150*q**5 + 0*q**3 - q**2 - 1/60*q**6 - 1/30*q**4 + 0. Find b, given that h(b) = 0.
0, 2/5, 1
Let q(p) = 8*p**4 - 11*p**3 + 8*p**2 + 5. Let v(f) be the first derivative of f**5/5 - f**4/4 + f**3/3 + f + 1. Let n(b) = -q(b) + 5*v(b). Factor n(k).
-3*k**2*(k - 1)**2
Let v(z) = -2*z**4 - 4*z**3 + 2*z**2 + 2*z + 2. Let n(h) = -h**4 - 4*h**3 + 3*h**2 + 3*h + 3. Let g(k) = -2*n(k) + 3*v(k). Factor g(u).
-4*u**3*(u + 1)
Let y(d) be the first derivative of -1/4*d**2 + 1/8*d**4 - 3 - 1/6*d**3 + 1/2*d. Find t such that y(t) = 0.
-1, 1
Let z(r) = -r**2 + r - 14. Let m(j) = -j**2 - 15. Suppose 5*q - 10 = 3*f, 0 = -q + 6*q - 4*f - 5. Let s(k) = q*m(k) - 6*z(k). Factor s(n).
(n - 3)**2
Suppose 4*b = -b + 15. Let y(k) be the first derivative of 1 + 1/10*k**5 - 1/12*k**6 + 1/8*k**4 + 0*k + 0*k**2 - 1/6*k**b. Factor y(p).
-p**2*(p - 1)**2*(p + 1)/2
Let i(t) = -108*t**3 - 186*t**2 - 90*t - 19. Let k(w) = -36*w**3 - 62*w**2 - 30*w - 6. Let b = 8 - 12. Let r(x) = b*i(x) + 14*k(x). Factor r(l).
-4*(l + 1)*(2*l + 1)*(9*l + 2)
Let r(o) = o**3 + 8*o**2 + 7*o + 3. Let p be r(-7). Factor -3/4*g**2 + 3/4*g**4 + 0 - 1/4*g + 1/4*g**p.
g*(g - 1)*(g + 1)*(3*g + 1)/4
Let g(h) be the third derivative of h**5/60 + h**4/8 + 2*h**3/3 + 3*h**2. Let q(i) = i**2 + 2*i + 4. Let z(c) = 6*g(c) - 7*q(c). Suppose z(o) = 0. Calculate o.
2
Let a(s) = -s**3 + s**2 + 2*s - 3. Let b be a(2). Let m be (7 + b)*1/2. Factor 4 - 2 + 6*n**4 - 4*n**3 - 2*n**5 + 6*n - 2 - m - 4*n**2.
-2*(n - 1)**4*(n + 1)
Let a(m) be the first derivative of -9*m**6 + 54*m**5/5 + 9*m**4 - 20*m**3/3 - 7*m**2 - 2*m + 8. Factor a(y).
-2*(y - 1)**2*(3*y + 1)**3
Let n = 8 + -6. Let l = 5 - 9/2. Factor 1/2*z + l - 5/2*z**n + 3/2*z**3.
(z - 1)**2*(3*z + 1)/2
Let v(h) be the first derivative of h**6/80 - h**5/60 - h**4/48 + 3*h**2/2 - 3. Let k(z) be the second derivative of v(z). Factor k(t).
t*(t - 1)*(3*t + 1)/2
Suppose z + 2*q - 4 = 0, 3*z + 5*q + 6 = 18. Let i = -18/7 - -68/21. What is f in -2*f**3 - i*f**z - 2/3*f**2 + 2*f + 4/3 = 0?
-2, -1, 1
Let n(m) be the second derivative of -m**8/336 + m**7/210 + m**6/40 - m**5/60 - m**4/12 - 9*m**2/2 - 7*m. Let u(s) be the first derivative of n(s). Factor u(o).
-o*(o - 2)*(o - 1)*(o + 1)**2
Let w(r) be the second derivative of r**5/160 + r**4/32 + r**3/24 - 6*r. Factor w(m).
m*(m + 1)*(m + 2)/8
Let n(a) = a**5 + a**4 - a**2 + 1. Let w(s) = -31*s**5 + 89*s**4 + 68*s**3 - 137*s**2 - 96*s - 11. Let d(u) = 5*n(u) - w(u). Solve d(b) = 0 for b.
-1, -1/3, 2
Let l be ((-108)/(-22) + -6)/(-3). Determine c, given that 0 + 2/11*c**4 - l*c**2 + 0*c + 2/11*c**3 = 0.
-2, 0, 1
Suppose -19*d = -16*d - 6. Factor 2/5*n**d + 1/5*n - 2/5 - 1/5*n**3.
-(n - 2)*(n - 1)*(n + 1)/5
Let o(m) be the second derivative of m**8/20160 + m**7/1512 + m**6/270 + m**5/90 - m**4/3 - 4*m. Let d(q) be the third derivative of o(q). Solve d(u) = 0 for u.
-2, -1
Let p(a) = -960*a**2 - 219*a + 6. Let r(o) = -192*o**2 - 44*o + 1. Let f(m) = 4*p(m) - 21*r(m). Factor f(x).
3*(8*x + 1)**2
Let g(s) = 8*s**5 + 2*s**4 - 2*s**3 - 8*s**2 - 2*s + 5. Let l(i) = i**5 - i**4 - i**3 - i**2 + 1. Let w(n) = -g(n) + 5*l(n). Factor w(z).
-z*(z + 1)**3*(3*z - 2)
Let n be (-1)/((2 - -2) + -16). Let y(q) be the third derivative of 0*q - n*q**3 + 1/240*q**6 + 0 + 2*q**2 - 1/48*q**4 + 1/120*q**5. Find u such that y(u) = 0.
-1, 1
Solve 0*a + 1/4*a**4 + 0 - 1/2*a**3 + 1/4*a**5 + 0*a**2 = 0 for a.
-2, 0, 1
Suppose -3415 - 2*v**3 + 3415 = 0. Calculate v.
0
Let g = -18 - -22. Let t(i) be the first derivative of -2/9*i**3 - 2/3*i**2 + 2 + 0*i + 1/3*i**g + 2/15*i**5. Factor t(d).
2*d*(d - 1)*(d + 1)*(d + 2)/3
Let s(h) be the second derivative of -h**5/10 - h**4/6 + h**3/3 + h**2 - 10*h. Factor s(p).
-2*(p - 1)*(p + 1)**2
Let w(k) be the third derivative of -8*k**7/35 + 3*k**6/5 - 9*k**5/20 + k**4/8 - 9*k**2. Suppose w(s) = 0. Calculate s.
0, 1/4, 1
Let h(k) be the first derivative of 3*k**4/2 - k**3 - 15*k**2/2 - 6*k - 6. Factor h(b).
3*(b - 2)*(b + 1)*(2*b + 1)
Deter
|
{
"pile_set_name": "DM Mathematics"
}
|
10. Let o(l) be the first derivative of 67*l**3/3 - l**2 - l + 2. Is o(j) a composite number?
False
Let n(z) = 14 - 3*z + 6*z**2 - z**2 + 15*z. Is n(-11) a prime number?
True
Let f = 1 - -5. Let w be (f/(-12))/(2/284). Is 2 - (0 + 3)*w a prime number?
False
Let r(v) = -4*v**2 + 5*v - 2. Let y be r(4). Let q = y + 22. Let j = q - -71. Is j a composite number?
False
Suppose 0 = -2*g - 94 + 380. Let o = -86 + g. Let c = 88 - o. Is c a prime number?
True
Let f(m) = -7*m**3 - 7*m**2 - 11*m + 2. Is f(-4) composite?
True
Is (322168/16 + -9)/(3/6) a prime number?
True
Let a(o) = -3*o**2 + 10*o. Let z(k) = 1 - k - 3*k**2 + 5*k + 6*k - k. Let v(l) = 4*a(l) - 5*z(l). Is v(-5) a composite number?
True
Suppose 0 = 4*c - 2*c - 2*k, 0 = 5*c + 5*k - 20. Suppose 2*d + 12 = -c*d, 0 = 2*f + 5*d - 803. Suppose -3*l + 26 = -f. Is l composite?
True
Suppose -18*q = -19*q + 4, -22500 = -4*t + 2*q. Is t composite?
True
Let t = 36092 + -20785. Is t composite?
False
Let b(z) = z**3 + 2*z**2 - z + 1. Let u be b(-2). Suppose 2*x + q - 23 = x, -3*q - 39 = -u*x. Suppose -2*k + 0*m = 4*m - x, k = 3*m - 6. Is k prime?
True
Let z(f) = 57*f - 131. Is z(6) a composite number?
False
Suppose -5*g + 12 = 3*z - 8, 4*g = -2*z + 16. Suppose 4*u - 5*j = 1024, -g*u - 4*j = -1063 + 3. Suppose 2*q - u = -q. Is q a composite number?
True
Let h be (1 + 0)*3*7. Suppose 15 = -16*x + h*x. Suppose 1117 = 2*k + x*l - 838, 0 = 2*l - 6. Is k a composite number?
True
Let k(l) = -5*l - 18. Let g be k(-4). Is (-1)/g*(-589 + -7) a composite number?
True
Let b(t) = t**3 - 5*t**2 - 7*t + 5. Let o be b(6). Is (-2554)/(o*(-4)/(-2)) prime?
True
Suppose g - 2029 = 4*w, 2*g + 5*w - 3993 = -0*w. Suppose 5*a = 2376 + g. Is a a composite number?
False
Let a = 51 - 9. Let p = -105 - -110. Let h = a - p. Is h prime?
True
Let v(t) = -t**2 - 7*t + 11. Let q be v(-8). Let a = q - 1. Suppose 0*z + 3*z - 976 = -a*g, g = -5*z + 495. Is g a prime number?
False
Let f(h) = h**2 - 70*h**3 - 3 - 4*h - 94*h**3 - 210*h**3 + 87*h**3. Is f(-2) a composite number?
True
Let r(k) = -2*k**3 - 12*k**2 - 5*k - 12. Let p be r(-9). Suppose p = 3*v - 387. Is v a prime number?
False
Let v(a) be the second derivative of 49*a**4/6 - 2*a**3/3 - 5*a**2/2 + 13*a. Is v(-2) a composite number?
True
Let n(p) = 9*p**2 - 4*p + 3. Let y(a) = 3*a + 20. Let u be y(-8). Is n(u) prime?
True
Let i(p) = -p**3 - p**2 - 19*p + 5323. Is i(0) a composite number?
False
Suppose v = f - 4056, -13*v + 18*v - 8147 = -2*f. Is f a composite number?
True
Let x = -64 + 25. Let g = x - -28. Let t(n) = n**2 + 5*n - 11. Is t(g) a composite number?
True
Suppose 11*r - 4*q - 62375 = 8*r, 2*r - 3*q = 41585. Is r composite?
True
Let m = -12 + 17. Let v = m - -18. Is v prime?
True
Let g(c) = 348*c**3 - 3*c + 2. Let k(f) = f**3 + 10*f**2 + 1. Let i be k(-10). Is g(i) composite?
False
Let q = 32 + -30. Suppose -3*v - 8 = v, -q = 3*s - 5*v. Is (-1659)/(-4) - s/16 prime?
False
Let t = 88968 - 61429. Is t a prime number?
True
Is 560 - (-3)/(-9)*9 a prime number?
True
Let s(z) = -38*z**2 + 9*z - 2. Let q(l) = -38*l**2 + 9*l - 2. Let n(o) = -5*q(o) + 4*s(o). Is n(-3) composite?
True
Let t = -5 - -13. Is (0 - 254/t)/((-5)/100) composite?
True
Suppose 207 = 3*d + 4*m, -3*d + 3*m + 155 = -d. Let z = d - 38. Is z prime?
False
Let p(l) = 8*l - 5. Let w be p(1). Suppose 0 = -w*x - 3*i + 2886, 5*x + 0*i - 4780 = 5*i. Is x a composite number?
True
Let s = -14 - -21. Suppose -2 = 2*g, 0 = t + 4*g - 54 + s. Is t a prime number?
False
Let b(m) = -6187*m - 22. Is b(-3) prime?
True
Let h(u) be the third derivative of 19*u**4/24 - 5*u**3/3 - 10*u**2. Is h(9) a composite number?
True
Suppose -10*h - 13218 = -12*h. Suppose 4*i - h = -1013. Is i a prime number?
True
Let q(p) = 5*p**2 - 2*p + 10. Suppose 2*d + 0*d + 20 = 0. Let v be q(d). Let g = v - 277. Is g a composite number?
True
Let i(j) = 100*j + 96421. Is i(0) a composite number?
True
Let w(k) = -15*k**3 + 5*k**2 + 9*k - 6. Suppose 15 + 20 = -7*m. Is w(m) a prime number?
True
Let a = -295 - -2622. Is a prime?
False
Let n(b) = b**2 + 6*b + 5. Let j be n(-5). Suppose j = 7*x - 10*x - 30. Let t = 17 + x. Is t a composite number?
False
Let x(y) = 451*y**2 + 0 - 444*y**2 - 7 - y. Is x(3) composite?
False
Let v be 110/30 + (-2)/(-6). Suppose -v*r + 30 = -42. Suppose 5*b = -r + 73. Is b a prime number?
True
Is 8/(-40)*-225907 + (-4)/10 a prime number?
True
Suppose 2*g + g = 5*k - 16, -2*k = 3*g - 19. Let p(t) = 19*t**2 - 5*t - 7. Let i be p(k). Let r = i + -294. Is r a prime number?
True
Let s(v) = -v**3 + 20*v**2 - 14*v + 16. Let t be s(14). Let m = 593 - t. Let x = -102 - m. Is x a prime number?
False
Let n(o) = 190*o**2 - 50*o - 47. Is n(6) composite?
True
Suppose a - 664 = o, 3*o - 2*a = -404 - 1583. Let d = 1031 + o. Let n = 109 + d. Is n prime?
False
Let a(s) = -2*s**2 + 16*s - 8. Let c be a(7). Suppose c*i = i + 5705. Is i a prime number?
False
Let x be (1*(-2)/4)/((-1)/8). Suppose 0 = 8*z - x*z - 5012. Is z prime?
False
Let y(n) be the second derivative of n**7/1260 - n**6/240 - n**5/20 + n**4/3 + n. Let k(i) be the third derivative of y(i). Is k(-7) a composite number?
False
Suppose -5*b - 855 = -24100. Is b composite?
False
Suppose 8*x + 1354 = 146. Let a = -82 - x. Is a composite?
True
Let z(h) = h**2 + 2*h + 2179. Let o be (0 - 3/(-1)) + -7 + 4. Is z(o) a composite number?
False
Let z = 8460 + -2968. Let h = -3799 + z. Is h a composite number?
False
Let q(v) = -v**3 + 3*v**2 + 4*v + 2. Let l be q(4). Let u = 5 - l. Suppose -4*j + 0*s = u*s - 631, s + 470 = 3*j. Is j composite?
False
Suppose -3*u = 3*r - 3, -5*u = -2*r - 2*r - 32. Let f(c) = c**2 + c - 2. Let y be f(r). Suppose -5*q + 4*w + 345 = -310, y*w = 3*q - 401. Is q prime?
True
Is -13777*(-117)/65 + (-4)/(-10) a prime number?
True
Let z(j) be the third derivative of -5/6*j**4 + 0*j + 1/10*j**5 + 5/6*j**3 + 13*j**2 + 0. Is z(15) prime?
False
Suppose 0 = -4*d + 11 + 5. Suppose -828 = -2*x + d*z - z, -x = -5*z - 421. Suppose -x + 44 = -i. Is i a prime number?
True
Let p(z) be the third derivative of 29*z**6/120 - z**5/30 - z**4/8 + z**3/6 + 4*z**2. Is p(3) composite?
False
Is (1*3)/(-1) - (165 + -50839) a prime number?
True
Let y be (-2)/(1 - 2336/2332). Let v = y + -667. Is v prime?
True
Let b(w) = -6*w**3 - 14*w**2 + 14*w + 11. Is b(-14) composite?
True
Suppose 5*c - 5*l + 3 - 18 = 0, 0 = -4*c + 5*l + 14. Let u(o) = 551*o**3 - o + 1. Is u(c) prime?
False
Let i(y) = y**2 - 11*y + 11. Let a be i(10). Is ((2/8)/a)/(1/1772) prime?
True
Let j(d) be the second derivative of d**5/20 - 5*d**4/6 + 4*d**3/3 + 19*d**2 + 18*d. Is j(12) prime?
False
Suppose 0 = 4*h + 2*c - 10358, -c - 12910 = -5*h + 4*c. Is h a prime number?
False
Suppose -13 = -3*x + 23. Is 122/4*(22 - x) prime?
False
Let z = 7331 - 3777. Is z a composite number?
True
Suppose 0 = 2*r + r - s - 22867, 4*s = -16. Is r composite?
False
Let v = -33109 - -51080. Is v a prime number?
True
Suppose -18 = -2*g - 2*b, 2*b - 34 = -4*g - b. Let k(j) = 4*j**3 + 2*j**2 - 7*j - 6. Let u be k(g). Suppose -u = -5*o + 815. Is o composite?
True
Let w(i) = i - 6. Let m be w(8). Let s be (-30)/70 + (-1590)/14. Is (1/m)/((-3)/s) a prime number?
True
Let d(j) = -2*j**2 - 3*j - 2. Let z be d(-3). Let m(b) = -8*b - 16. Let h be m(z). Suppose l - 5*p + h = 256, -5*p + 532 = 3*l. Is l composite?
False
Let h(j) = 10*j**3 - j + 2. Let i be h(1). Suppose i*d = 6*d + 20665. Is d composite?
False
Let i(w) = w**3 + 9*w**2 + 11*w + 8. Let n be i(-8). Let q be (6/(-4))/(6/n). Suppose 5*m = -q*j + 2225 + 1331, 0 = -m. Is j a prime number?
False
Suppose 7*m - 3*m - 6080 = 0. Let s = -4 - -7. Suppose m = s*q - 259. Is q a composite number?
False
Let a = -31 + 26. Let f be (-8)/6*(a + 176). Is (11/(-2))/(6/f) composite?
True
Let b(i) be the third derivative of 97*i**6/120 - i**5/60 - 5*i**4/24 - i**3/6 + 12*i**2. Let x be b(3). Let t = x - 1807. Is t a composite number?
False
Let d = -1 + 2. Let r be 9/(3/(-2)*d). Is (-1)/(r/446)*3 composite?
False
Let w(x) = -137*x + 4. Let y be w(-3). Suppose -5*n + 421 = 2*p, -4*p + y = -2*p + 3*n. Is p composite?
True
Let f(n) = 6*n**2 + 2*n + 2869. Is f(0) prime?
False
Let x(u) = 572*u + 729. Is x(10) composite?
False
Let t(r) = 50*r**3 + 11*r**2 - 22*r + 177. Is t(8) a prime number?
False
Let q(j) = 184*j**2 + 4. Let p
|
{
"pile_set_name": "DM Mathematics"
}
|
-30 + 51. Calculate the remainder when p is divided by 6.
3
What is the remainder when 4/14 - 500/(-14) is divided by 38/(-6)*(2 - 5)?
17
Let j(h) = -9*h + 1. What is the remainder when j(-2) is divided by (-90)/(-12)*(-4)/(-6)?
4
Calculate the remainder when (-6)/(-15) + 108/5 is divided by 8.
6
Suppose 5*y - 344 = y. Suppose -2*j - g + 90 = 3*j, -2*g = -4*j + y. What is the remainder when j is divided by 7?
5
Suppose -2*j + 5*j = n - 11, -n + j = -7. Let c be n - -4 - (4 + -1). What is the remainder when 30 is divided by 3/(18/8)*c?
6
Let g(d) = d**3 - 3*d**2 + 3*d - 4. Let p be g(3). Suppose 5*b + 5*l - 70 = 0, 5*b - p = -4*l + 69. What is the remainder when b is divided by 7?
4
Let x = -18 + 99. Suppose -3 = -3*k, 3*i = 5*i - 5*k - x. What is the remainder when i is divided by 2/(-9) + 274/18?
13
Let u(w) = -7*w - 5. Let s(d) = -d**2 - 3*d - 1. Let v be s(-4). Calculate the remainder when u(v) is divided by 16.
14
Suppose -g + 1 - 3 = 0. What is the remainder when (27/(-2))/(g/4) is divided by 14?
13
Let g = 104 - 69. Calculate the remainder when 67 is divided by g.
32
Let b be 4/(-2) - (-22 - -3). Suppose 3 = 5*v - b. Suppose -6 + 2 = -v*h. What is the remainder when 1 is divided by h?
0
Suppose 5*w = 2*w + 81. Suppose i = -0*i + w. What is the remainder when i + 3/((-3)/2) is divided by 13?
12
Suppose 5*l + 7 - 77 = 0. Calculate the remainder when 53 is divided by l.
11
Let g(u) = 3*u**2 - 9*u - 79. Calculate the remainder when g(-6) is divided by 19.
7
Suppose -8 = y + 3*y. Let o = 10 - y. What is the remainder when 471/10 - 11/110 is divided by o?
11
Let m(l) = -l + 20. Suppose 0 = -y - 2*y, 0 = 5*b - 4*y - 235. What is the remainder when b is divided by m(8)?
11
Suppose g - 36 = -9. Let m(d) = 2*d. What is the remainder when g is divided by m(7)?
13
What is the remainder when 3 + (0 + 26)/2 is divided by 3/(-9)*(-27)/1?
7
Let j = 383 - 120. Calculate the remainder when j is divided by 33.
32
Let j be 3/3 - 5 - 2. Let s be 9/j*(-1 - 61). What is the remainder when 38 is divided by s/7 + (-2)/7?
12
Let n = 34 + -22. Let r be 5 - (1/1 + 0). Suppose -4*k - 5 = -0*x - 3*x, 4*x - r*k = 12. Calculate the remainder when n is divided by x.
5
Let l = 83 - 10. Calculate the remainder when l is divided by 19.
16
Suppose 29 + 7 = 6*a. Calculate the remainder when 40 is divided by a.
4
Suppose -2*u = u + 6. What is the remainder when 43 is divided by (u/(-4))/((-3)/(-90))?
13
Suppose -13 + 43 = 3*s. Suppose 0 = -5*r + 5*m + 230, 0 = 4*r + 3*m - 154 - 2. Suppose c + 13 = r. Calculate the remainder when c is divided by s.
9
Let p(g) = g**2 + 4*g + 44. Calculate the remainder when 222 is divided by p(-6).
54
Suppose 7*u = 164 - 45. What is the remainder when 96 is divided by u?
11
Suppose 15*o = 14*o + 81. Let k = -51 + 72. What is the remainder when o is divided by k?
18
Let t(r) = -29*r - 4. What is the remainder when t(-2) is divided by 11?
10
Suppose 0 = -2*v + 35 - 13. What is the remainder when ((-2)/3)/((-12)/558) is divided by v?
9
Suppose b = -2*b - 147. Let l = -3 - b. What is the remainder when l is divided by 12?
10
Let r(f) = f**3 + 6*f**2 - 5*f + 7. Let b(x) = x**2 + 4*x - 1. What is the remainder when r(-6) is divided by b(3)?
17
Suppose u - 24 + 93 = 2*z, 2*z = -u + 79. Calculate the remainder when z is divided by 10.
7
Let x(n) = -n - 2. Let v be x(3). Let o = v - -19. What is the remainder when o is divided by 9?
5
Let w = 29 - 28. Calculate the remainder when w is divided by 1.
0
Let b(t) = -4*t - 8. Let y(v) = v. Let g(d) = -b(d) - 5*y(d). Calculate the remainder when 5 is divided by g(4).
1
Suppose 23 = 4*c - 5. What is the remainder when 20 is divided by c?
6
Let v be (18*1 + 0)/1. Suppose -34 = -5*x + p, x - 6 = -p + 2*p. Let s = v - x. What is the remainder when 20 is divided by s?
9
Let m(n) = -6*n - 9. Let f(o) = -12*o - 19. Let j(x) = 2*f(x) - 5*m(x). Calculate the remainder when j(5) is divided by 13.
11
Let g(k) = k**3 - 9*k**2 + 9*k + 2. Let w be g(8). Let b = 19 - w. Let u = -4 + 9. Calculate the remainder when b is divided by u.
4
Let p = 80 - 66. What is the remainder when p is divided by 4?
2
Suppose 4*c - 49 = -13. Let i(s) = s**2 - 8*s + 7. What is the remainder when i(c) is divided by 6?
4
Let h(s) = -s**2. Let b be h(0). Suppose b = -3*n, 5*v - v + n = 24. What is the remainder when v is divided by 4?
2
What is the remainder when (-1)/5 + 176/5 is divided by -1*4 + 112/7?
11
Let g(q) = q**3 - 2*q**2 + q + 1. Let u be g(2). Suppose 0*c - 7 = -2*o + u*c, -4*o + c = 11. What is the remainder when (o/(-8))/((-2)/(-68)) is divided by 9?
8
Let a = -13 + 18. Suppose 4*n - a*n = -9. Calculate the remainder when 16 is divided by n.
7
Let c = 11 + -2. Calculate the remainder when ((-264)/(-165))/(2/20) is divided by c.
7
Let j(k) = -7*k - 4. Let u(o) = -6*o - 3. Let p(y) = 4*j(y) - 5*u(y). Let h(b) = b + 1. Let m be h(0). Calculate the remainder when 2 is divided by p(m).
0
Suppose 30 = 5*d - d - l, 3*l - 22 = -2*d. What is the remainder when 23 is divided by d?
7
Let v be 10 + -11 + (0 - -11). Let r = -5 + v. Calculate the remainder when 17 is divided by r.
2
Let p = 124 - 112. What is the remainder when 58 is divided by p?
10
Let x(i) = i**3 - 3*i**2 + 4*i - 1. Calculate the remainder when x(2) is divided by 1.
0
Suppose -5*y - 5*z + 87 = -4*z, 4*z + 60 = 4*y. Calculate the remainder when 50 is divided by y.
16
Let b(t) = t**2 - t + 1. Let d be b(0). Calculate the remainder when 70 is divided by 12 + (d - -2) + 3.
16
Let x = 13 - -18. Let m = -68 - -47. Let l = 32 + m. What is the remainder when x is divided by l?
9
Let t(v) = v**3 + 5*v**2 + 5*v + 3. Let s(g) = g - 4*g**2 + 0*g**2 - 2*g. Let k be s(-1). What is the remainder when 17 is divided by t(k)?
5
Suppose -3*z + v + 139 = 0, 3*v = 3*z - 193 + 64. Calculate the remainder when z is divided by 26.
22
Let n be (-212)/(-8) + (-3)/6. Let p = 41 - n. Calculate the remainder when p is divided by 6.
3
Calculate the remainder when 15 is divided by 4/(-16) + 14*(-3)/(-8).
0
What is the remainder when 275 is divided by (284/(-8) - -1)*16/(-12)?
45
Let w(c) = c**3 + 7*c**2 + 7*c + 1. Calculate the remainder when 45 is divided by w(-5).
13
Let n(b) = -2*b**2 + 19*b + 5. What is the remainder when 41 is divided by n(9)?
13
Let s(h) = 8*h - 1. Let k(b) = -40*b + 5. Let w(l) = -2*k(l) - 11*s(l). Let n(y) = y**2 + 2*y - 3. Calculate the remainder when w(-1) is divided by n(2).
4
Suppose -h = -2*h + 6. Let u = -28 - -43. What is the remainder when 332/u - 2/15 is divided by h?
4
Suppose 9*o = 4*o - 115. Let n = -13 - o. Calculate the remainder when 28 is divided by n.
8
Let p = -138 + 204. Suppose 3*j + 2*v - 55 = 3*v, -4*j + 5*v = -p. Calculate the remainder when j is divided by (-2)/11 + (-237)/(-33).
5
Suppose 0 = 3*m + 2*z - 4 - 6, -4*m - 3*z + 12 = 0. Let y = 99 - -96. What is the remainder when (-1)/(-6) + y/18 is divided by m?
5
Suppose 5*k + 6*f - 690 = f, 2*k - 276 = -5*f. Suppose 2*q + q = k. Calculate the remainder when q is divided by 12.
10
Let l(x) = 7*x + 8. Let g(p) = 2*p**2 + 3*p + 11. What is the remainder when l(6) is divided by g(-2)?
11
Suppose -5*h + 20 = 4*p, -2*p + 0*h = h - 4. Let z be 2 + p + 2/1. Suppose 26 + 38 = z*o. Calculate the remainder when o is divided by 9.
7
Let c(m) = -m**2 - 16*m + 13. What is the remainder when c(-15) is divided by 1*-1 - (-7 - 4)?
8
Suppose 5*t - z = 76, -2*z = -2*t - 2*t + 56. What is the remainder when 7/((-49)/30)*-7 is divided by t?
14
Suppose -q - 4*q = -5. Calculate the remainder when 1 is divided by q.
0
Let o = -12 - -14. Suppose 6 = -0*d + o*d. Calculate the remainder when 8 is divided by d.
2
Let v(u) = u**3 - 18*u**2 + 18*u + 27. What is the remainder when 175 is divided by v(17)?
43
Suppose -8*g = -4*g + 2*y - 6, 3*g - 3*y = 0. Let t = 3 + -1. What is the remainder when t is divided by g?
0
Let p = -66 - -110. Calculate the remainder when p is divided by 9.
8
Let o = -161 + 296. Suppose -o = 15*a - 18*a. Calculate the remainder when a is divided by 12.
9
Suppose 5*n - 6 = h, -24 = -h - 2*h + n. Let j(w) = w**3 - 10*w**2 + 12*w - 13. Let g be j(h). Calculate the remainder when g/63 - (-266)/18 is divided by 4.
3
Let h = 120 - 68. Suppose 0 = 5*u - 3*b - 87, -3*u + h = 3*b - 5*b. What is the remainder when 70 i
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.7 (c) -5/44 (d) 1 (e) -1/7
a
Which is the fourth biggest value? (a) -2/7 (b) 241.2 (c) 0 (d) -2/83 (e) -1 (f) 2/5
d
What is the second smallest value in -0.4, -1/6, 4, -56, -222, 41/6, 2?
-56
Which is the sixth biggest value? (a) 5 (b) 2/3 (c) -3/5 (d) 3.14 (e) 4 (f) -0.37
c
What is the sixth smallest value in -0.1, 2.41, -2/7, -10, -18, 2?
2.41
What is the smallest value in -9477, -1294, -2/7?
-9477
What is the sixth smallest value in 3/719, -1/4, 2/7, 0.1, 4/7, 1/4, 0.09?
2/7
What is the fifth smallest value in -1/8, -2/5, -2/3, 0.61054, 2/9, -0.5?
2/9
What is the biggest value in -353/12, 51/4, 6?
51/4
Which is the fourth smallest value? (a) -115/197 (b) -9 (c) -1/4 (d) 66
d
Which is the fifth smallest value? (a) -9/22 (b) -4 (c) 103 (d) -907 (e) -5
c
Which is the fifth biggest value? (a) 867 (b) -0.2 (c) 0.4 (d) 1 (e) -0.192
b
Which is the second biggest value? (a) 0.021 (b) -50651 (c) 1
a
What is the fourth smallest value in 2/17, -2, -671931/5, -2/7?
2/17
What is the third smallest value in 22879, -2, -0.2?
22879
Which is the biggest value? (a) -77.4 (b) -3/1763 (c) 4
c
What is the smallest value in -179, 4, -4364?
-4364
What is the second biggest value in 1/10, 2/5, 1/2, 660611?
1/2
Which is the biggest value? (a) -0.2 (b) -5 (c) -3 (d) 0.029 (e) -2467
d
Which is the biggest value? (a) 8/39 (b) 3 (c) 63 (d) -5 (e) -15 (f) -1/5
c
Which is the third biggest value? (a) -4 (b) 13/15 (c) -1/3 (d) -4/7 (e) -3/383
c
Which is the second smallest value? (a) -15.6 (b) 1 (c) -85 (d) 4/5
a
Which is the fourth biggest value? (a) -25.32 (b) -3 (c) -8696 (d) -2
c
What is the fifth smallest value in 0.5, -0.2, -8958, -1, -1/3?
0.5
Which is the fourth smallest value? (a) -0.4 (b) -2 (c) -2/9 (d) -4 (e) -0.09 (f) 0.2747
c
Which is the fourth biggest value? (a) 3/4 (b) 4 (c) -3/2 (d) 5/3 (e) -3.95 (f) 4/7 (g) -1/2
f
What is the second smallest value in -5, 3, -47/10404, 1?
-47/10404
Which is the fifth smallest value? (a) -5 (b) -3 (c) -2/1609 (d) 28 (e) -2 (f) 7.1
f
What is the third smallest value in -14763, -5424, -1/4?
-1/4
Which is the fifth biggest value? (a) -1 (b) -3.1 (c) -1938 (d) -0.09 (e) 0
c
Which is the second biggest value? (a) -0.03 (b) -178 (c) 1 (d) -0.1 (e) 6/31 (f) -4 (g) -2/15
e
Which is the fifth biggest value? (a) 1797 (b) -2/7 (c) -0.3 (d) 0.3 (e) -3 (f) 8 (g) 0.26
b
Which is the third smallest value? (a) -3 (b) 0 (c) 18399 (d) 0.4 (e) -75
b
What is the third biggest value in 0, 0.5, -27368, -41?
-41
What is the seventh biggest value in -10, -4, 0.6, 2, -2/3, -7, -3?
-10
What is the second smallest value in -2, 55207, -17?
-2
Which is the fifth biggest value? (a) -1 (b) -33 (c) -2 (d) 2 (e) -5 (f) -11 (g) 31
e
What is the second smallest value in 0.07, -2, 9.95, 1/21?
1/21
What is the third smallest value in 1, -1, -3/4, -125206?
-3/4
Which is the smallest value? (a) 1/4 (b) -0.4 (c) 303449226
b
What is the fourth biggest value in -1, -0.05, 2, -13/2, 5, -9/5?
-1
Which is the third biggest value? (a) 4 (b) -2/35 (c) 1 (d) -3 (e) -28
b
What is the sixth smallest value in -1/4, 0.5, -0.24, -0.3, 2182, 0, -0.13?
0.5
What is the sixth smallest value in 18, -1, -29, -4, -16, 3?
18
What is the smallest value in -158.147, 0, 0.1?
-158.147
Which is the fourth smallest value? (a) 3/10 (b) -0.2 (c) -389 (d) -0.0609 (e) 1/2
a
What is the smallest value in -7, 0.202, 1/107?
-7
Which is the fifth smallest value? (a) -14.5 (b) 1/6 (c) -3/2 (d) -8 (e) -4/11
b
What is the sixth biggest value in 0.1, 621/2, 13, 3, 1/3, -4, -3?
-3
What is the second smallest value in -1/8, 1, 2/7, -1, -2/11, 0.5, -4/15?
-4/15
Which is the second biggest value? (a) 0.4 (b) -82/119 (c) 0.1 (d) 0.0445
c
What is the biggest value in -4, -0.5, 437.4, 1, -2/3, 0, 4?
437.4
What is the smallest value in -0.643, 11.7, 5, 1/14?
-0.643
Which is the sixth smallest value? (a) -6/5 (b) -3 (c) -9 (d) -0.3 (e) -1238 (f) 5
f
Which is the third smallest value? (a) 0.1 (b) 3 (c) 1/4 (d) -623/3 (e) -1.9 (f) 0.3
a
What is the third biggest value in 3/665, 2/11, 0.05, -0.1?
3/665
What is the seventh smallest value in 0, 2, -1, 1, 0.4, 40/11, 11?
11
Which is the second biggest value? (a) -3439/72 (b) 1/10 (c) -0.07
c
Which is the third biggest value? (a) 0 (b) -0.4 (c) 1 (d) 1213/2 (e) 5 (f) -0.03 (g) 3
g
Which is the fourth biggest value? (a) -480.2 (b) -0.4 (c) -1 (d) -42/41
a
What is the smallest value in -0.9685, 136.3, -5?
-5
Which is the sixth smallest value? (a) -4 (b) 3/7 (c) 2 (d) 14782 (e) -0.06 (f) 1/11
d
Which is the fourth smallest value? (a) 2 (b) 0.2 (c) 0.41 (d) 4/9585
a
What is the fourth biggest value in 23, 1, -668, -2?
-668
Which is the fifth smallest value? (a) -1.073 (b) 16 (c) -1 (d) -4 (e) 2
b
Which is the second smallest value? (a) -1011 (b) -999 (c) 0 (d) 17
b
What is the fifth smallest value in -6, -0.1, 4, -4, 4.3039, -0.5?
4
What is the biggest value in 4, -0.1, 0.11, 259, 0.12?
259
What is the smallest value in 5/3, -3, -6322, 4/9, 2/5?
-6322
What is the fifth biggest value in -3/20, 9/5, 2/5, -1, 1, 2/11, 5/3?
2/11
Which is the biggest value? (a) 0.3 (b) -33.6 (c) 4 (d) 3/7 (e) -0.4 (f) 197 (g) 0.2
f
Which is the fourth smallest value? (a) -2 (b) 3/4 (c) 1238/3 (d) -3
c
Which is the third smallest value? (a) 1/8 (b) -164 (c) -431 (d) -4 (e) 22/5
d
What is the third biggest value in -1, -24.9, 86268?
-24.9
What is the second biggest value in -0.031, -123/116, 7, -0.1?
-0.031
Which is the third smallest value? (a) -19127 (b) -11 (c) -0.02
c
What is the third smallest value in -50/11, 2/5, -16072, 1?
2/5
Which is the fifth smallest value? (a) -0.2 (b) 0 (c) 2841 (d) -4/7 (e) 4
c
Which is the smallest value? (a) -6 (b) 725/3 (c) -2/7 (d) 612
a
What is the third biggest value in 97, 4/3, -4, -0.26?
-0.26
Which is the second biggest value? (a) -0.2 (b) 3/116 (c) 12.4 (d) 1 (e) 1/6 (f) -12.5
d
What is the smallest value in -1/97, 3, -3, -6/17, -2/17, 5/9?
-3
What is the fourth smallest value in -2, 1/4, 2/191, -2/11, 0.119?
0.119
Which is the second smallest value? (a) 4 (b) 26 (c) 0.1 (d) -0.3 (e) -3 (f) 11 (g) -1.9
g
What is the biggest value in -8, 2/369675, -0.1, -0.02, 0.3?
0.3
What is the fourth smallest value in 0.2, 203.6, -7, -5?
203.6
Which is the third biggest value? (a) -3/8 (b) 5/8 (c) -57 (d) -93
c
What is the third smallest value in 0, -0.06, 4258056?
4258056
Which is the seventh smallest value? (a) -6 (b) -3 (c) -2/27 (d) 1/5 (e) 0.1 (f) 0.91 (g) -5
f
What is the fifth smallest value in 0.5, -2/3, -38, -4/7, -10/11, 3, 18/25?
0.5
What is the biggest value in 53/6, 5/23, -0.2, -431?
53/6
Which is the fifth smallest value? (a) -7 (b) 2 (c) 58 (d) -0.06 (e) 547
e
Which is the fourth smallest value? (a) 6 (b) -0.28 (c) -1/3 (d) -2/5 (e) -0.1 (f) -1530
b
Which is the second biggest value? (a) 4 (b) 0.5 (c) -19 (d) 1 (e) 12491
a
Which is the fifth biggest value? (a) 39 (b) -0.3 (c) -0.4 (d) 0.1 (e) 20.7
c
What is the sixth smallest value in 5, 0.03, -4/3, 0, 5/4, -0.35?
5
What is the smallest value in 0.03, -2/7, -0.3, -1.5, 237, -4/5?
-1.5
Which is the fourth biggest value? (a) 18 (b) 3085 (c) -1/3 (d) 11/12
c
Which is the third biggest value? (a) -1/4 (b) 57 (c) -1/7 (d) -0.4 (e) -1/10
c
Which is the third smallest value? (a) 19 (b) 0.4 (c) -1/2 (d) 182 (e) -4/75
b
What is the fourth biggest value in 7, -0.5, -51, -2/3, 1.5?
-2/3
What is the second smallest value in -1.7, 3/514, -658?
-1.7
What is the second smallest value in 22645, 0.3, 0.08, 3, 4/3, -0.1, -3?
-0.1
What is the second smallest value in -5, -1285, 725, -2/15?
-5
What is the second biggest value in -3, 164, -706, 0.5, 3/5?
3/5
Which is the fourth smallest value? (a) 211 (b) 6/31 (c) -30/11 (d) -0.5 (e) -0.4
b
What is the sixth smallest value in 575, 1/4, 5, 2/121, 0.1, 0.3?
575
What is the second smallest value in 8.72753, -20, -4?
-4
What is the third smallest value in -63, -51, 1, 3, 4, 2/9, 11/2?
2/9
What is the biggest value in -1/170, -0.4, 0.739, 5?
5
Which is the biggest value? (a) 0.1 (b) 2 (c) 7/12 (d) -1
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1232628
What is the j'th term of -17016, -21393, -25770, -30147, -34524?
-4377*j - 12639
What is the q'th term of 21899007, 43798032, 65697059, 87596088, 109495119, 131394152?
q**2 + 21899022*q - 16
What is the s'th term of -534483, -1068968, -1603449, -2137926, -2672399?
2*s**2 - 534491*s + 6
What is the p'th term of -5706, -6417, -7170, -7965, -8802, -9681?
-21*p**2 - 648*p - 5037
What is the c'th term of 515, 1130, 1567, 1826, 1907, 1810, 1535?
-89*c**2 + 882*c - 278
What is the r'th term of 6784, 12740, 18690, 24634?
-3*r**2 + 5965*r + 822
What is the j'th term of -643, -1114, -1497, -1786, -1975?
j**3 + 38*j**2 - 592*j - 90
What is the n'th term of -9360533, -9360530, -9360527, -9360524, -9360521, -9360518?
3*n - 9360536
What is the j'th term of 1665, 12836, 43171, 102252, 199661?
1597*j**3 - 8*j + 76
What is the n'th term of 142063005, 568252011, 1278567021, 2273008035?
142063002*n**2 + 3
What is the w'th term of -256, -316, 102, 1286, 3524?
48*w**3 - 49*w**2 - 249*w - 6
What is the q'th term of -78741093, -78741094, -78741095, -78741096, -78741097?
-q - 78741092
What is the r'th term of -263692, -527361, -791004, -1054621, -1318212?
13*r**2 - 263708*r + 3
What is the x'th term of 21992846, 21992847, 21992848, 21992849, 21992850, 21992851?
x + 21992845
What is the i'th term of -1209841627, -1209841617, -1209841593, -1209841549, -1209841479?
i**3 + i**2 - 1209841629
What is the b'th term of -4047, -5144, -6237, -7326, -8411, -9492?
2*b**2 - 1103*b - 2946
What is the p'th term of -3561, -3543, -3503, -3429, -3309, -3131, -2883?
2*p**3 - p**2 + 7*p - 3569
What is the w'th term of -2606, -2636, -2676, -2726, -2786, -2856?
-5*w**2 - 15*w - 2586
What is the a'th term of 37080, 148372, 333874, 593586, 927508, 1335640?
37105*a**2 - 23*a - 2
What is the p'th term of 404466, 3235544, 10919852, 25884006, 50554622, 87358316, 138721704, 207071402?
404436*p**3 - p**2 + 29*p + 2
What is the k'th term of 52, -61, -326, -803, -1552, -2633, -4106, -6031?
-10*k**3 - 16*k**2 + 5*k + 73
What is the n'th term of 969031, 1937970, 2906909, 3875848, 4844787?
968939*n + 92
What is the s'th term of -1989312, -3978458, -5967604?
-1989146*s - 166
What is the n'th term of -124026, -248406, -372772, -497118, -621438?
n**3 + n**2 - 124390*n + 362
What is the v'th term of -252439829, -252439821, -252439811, -252439799, -252439785?
v**2 + 5*v - 252439835
What is the y'th term of 6611390, 26445641, 59502726, 105782645, 165285398, 238010985, 323959406?
6611417*y**2 - 27
What is the w'th term of -138441, -138367, -138293, -138219?
74*w - 138515
What is the z'th term of -385757, -385167, -384577, -383987?
590*z - 386347
What is the a'th term of 27925686, 55851371, 83777056?
27925685*a + 1
What is the q'th term of -2405, -2300, -2067, -1664, -1049, -180, 985, 2488?
7*q**3 + 22*q**2 - 10*q - 2424
What is the k'th term of 74195, 148551, 222917, 297299, 371703?
k**3 - k**2 + 74352*k - 157
What is the f'th term of -1313, -3887, -6461, -9035?
-2574*f + 1261
What is the t'th term of -14, 477, 1338, 2569?
185*t**2 - 64*t - 135
What is the o'th term of -102, -247, -474, -831, -1366, -2127, -3162?
-8*o**3 + 7*o**2 - 110*o + 9
What is the o'th term of 18989862, 18989877, 18989892?
15*o + 18989847
What is the q'th term of 1343308, 2686612, 4029902, 5373172, 6716416?
-q**3 - q**2 + 1343314*q - 4
What is the j'th term of -30058, -120281, -270654, -481177, -751850, -1082673, -1473646?
-30075*j**2 + 2*j + 15
What is the r'th term of 68262885, 273051549, 614365989, 1092206205?
68262888*r**2 - 3
What is the m'th term of -4669832, -4669859, -4669886?
-27*m - 4669805
What is the r'th term of -10980, -9319, -7662, -6009?
-2*r**2 + 1667*r - 12645
What is the o'th term of -641179, -1282336, -1923471, -2564584, -3205675, -3846744, -4487791?
11*o**2 - 641190*o
What is the k'th term of -330, -331, -322, -297, -250, -175?
k**3 - k**2 - 5*k - 325
What is the i'th term of -8750, -16583, -24416?
-7833*i - 917
What is the o'th term of -27684115, -27684107, -27684095, -27684079, -27684059, -27684035?
2*o**2 + 2*o - 27684119
What is the w'th term of 1676681, 6706726, 15090135, 26826908, 41917045?
1676682*w**2 - w
What is the s'th term of -7822, -15976, -24114, -32224, -40294?
2*s**3 - 4*s**2 - 8156*s + 336
What is the x'th term of -2365795, -4731552, -7097309, -9463066, -11828823?
-2365757*x - 38
What is the u'th term of -249, -474, -829, -1314, -1929?
-65*u**2 - 30*u - 154
What is the j'th term of 1498, 5794, 12898, 22816, 35554, 51118?
j**3 + 1398*j**2 + 95*j + 4
What is the k'th term of -24373, -24366, -24365, -24376, -24405, -24458, -24541?
-k**3 + 3*k**2 + 5*k - 24380
What is the s'th term of -11902067, -11902057, -11902043, -11902025, -11902003?
2*s**2 + 4*s - 11902073
What is the b'th term of 307056, 307365, 307880, 308601, 309528?
103*b**2 + 306953
What is the y'th term of -12476, -6114, 4490, 19336, 38424, 61754?
2121*y**2 - y - 14596
What is the s'th term of 505015, 505018, 505021, 505024, 505027, 505030?
3*s + 505012
What is the r'th term of 35, 652, 2253, 5336, 10399?
83*r**3 - 6*r**2 + 54*r - 96
What is the b'th term of 5273047, 5273044, 5273041, 5273038, 5273035, 5273032?
-3*b + 5273050
What is the j'th term of -3096, -3178, -3260, -3342?
-82*j - 3014
What is the c'th term of 7278, 14201, 21140, 28095, 35066, 42053, 49056?
8*c**2 + 6899*c + 371
What is the h'th term of 748911, 1497877, 2246901, 2995983, 3745123, 4494321?
29*h**2 + 748879*h + 3
What is the f'th term of 676, 4654, 15294, 35926, 69880?
555*f**3 + f**2 + 90*f + 30
What is the m'th term of 1176, 90, -1720, -4254, -7512?
-362*m**2 + 1538
What is the x'th term of 73170, 146241, 219312, 292383?
73071*x + 99
What is the s'th term of 131, 27, -33, -25, 75?
4*s**3 - 2*s**2 - 126*s + 255
What is the a'th term of 3780, 7928, 12090, 16266, 20456?
7*a**2 + 4127*a - 354
What is the k'th term of 1698, 3789, 6472, 10041, 14790?
49*k**3 + 2*k**2 + 1742*k - 95
What is the y'th term of 39552, 46963, 54374, 61785, 69196?
7411*y + 32141
What is the d'th term of 93690, 93707, 93736, 93777, 93830, 93895?
6*d**2 - d + 93685
What is the j'th term of 41107, 39384, 36527, 32548, 27459, 21272, 13999?
2*j**3 - 579*j**2 + 41684
What is the s'th term of -3893, -8336, -15741, -26108?
-1481*s**2 - 2412
What is the y'th term of -23807, -95265, -214327, -380963, -595143, -856837, -1166015?
5*y**3 - 23832*y**2 + 3*y + 17
What is the g'th term of -436, -1883, -4268, -7573, -11780, -16871?
3*g**3 - 487*g**2 - 7*g + 55
What is the v'th term of 1033, 2431, 3947, 5581, 7333?
59*v**2 + 1221*v - 247
What is the b'th term of 41671187, 41671189, 41671191, 41671193, 41671195?
2*b + 41671185
What is the d'th term of 144157, 144237, 144371, 144559, 144801?
27*d**2 - d + 144131
What is the q'th term of 16932297, 67729172, 152390631, 270916674, 423307301, 609562512?
16932292*q**2 - q + 6
What is the n'th term of 348769006, 348769005, 348769004, 348769003, 348769002, 348769001?
-n + 348769007
What is the i'th term of -100090, -200274, -300458?
-100184*i + 94
What is the g'th term of -42928, -153775, -338520, -597163, -929704, -1336143?
-36949*g**2 - 5979
What is the s'th term of -33544, -66043, -97500, -127915, -157288, -185619?
521*s**2 - 34062*s - 3
What is the i'th term of -9887, -18636, -27383, -36128?
i**2 - 8752*i - 1136
What is the w'th term of -1219486, -2438863, -3658242, -4877623, -6097006, -7316391, -8535778?
-w**2 - 1219374*w - 111
What is the d'th term of 2237, 2155, 2081, 2015?
4*d**2 - 94*d + 2327
What is the x'th term of 95, -1211, -3373, -6391, -10265?
-428*x**2 - 22*x + 545
What is the l'th term of 34831, 34929, 35027, 35125?
98*l + 34733
What is the z'th term of 14027972, 28055949, 42083926, 56111903, 70139880, 84167857?
14027977*z - 5
What is the q'th term of 186726, 186742, 186784, 186864, 186994?
2*q**3 + q**2 - q + 186724
What is the t'th term of -7461119, -14922264, -22383409?
-7461145*t + 26
What is the m'th term of 1442, 1454, 1720, 2366, 3518, 5302, 7844?
21*m**3 + m**2 - 138*m + 1558
What is the w'th term of 16124, 35202, 66990, 111482, 168672, 238554, 321122, 416370?
-w**3 + 6361*w**2 + 2*w + 9762
What is the h'th term of -1641, -1195, -585, 189, 1127?
82*h**2 + 200*h - 1923
What is the q'th term of -304008274, -608016546, -912024818?
-3040082
|
{
"pile_set_name": "DM Mathematics"
}
|
5, g: 1, o: 3, x: 6, b: 2}. Give prob of picking 2 i and 1 o.
3/380
Four letters picked without replacement from iiinniviiiiv. Give prob of picking 2 i, 1 v, and 1 n.
112/495
Two letters picked without replacement from {c: 4, g: 3, u: 4, v: 1, w: 2}. Give prob of picking 1 g and 1 u.
12/91
Calculate prob of picking 2 a, 1 g, and 1 t when four letters picked without replacement from {a: 2, o: 2, g: 1, t: 1, f: 1}.
1/35
Two letters picked without replacement from hafhafdhdfdfaafaaf. What is prob of picking 2 a?
5/51
Three letters picked without replacement from urrorryorurrruooy. What is prob of picking 2 u and 1 o?
3/170
Calculate prob of picking 2 t when two letters picked without replacement from tttttttstststt.
55/91
Three letters picked without replacement from tttttttrtrrtttrr. What is prob of picking 3 r?
1/56
Calculate prob of picking 2 g when two letters picked without replacement from {c: 1, y: 1, g: 5, s: 1, l: 1, w: 3}.
5/33
What is prob of picking 3 u and 1 a when four letters picked without replacement from {a: 2, u: 17}?
20/57
Three letters picked without replacement from {j: 2, o: 1, v: 1, x: 2, z: 1, k: 1}. What is prob of picking 1 j and 2 x?
1/28
Two letters picked without replacement from vaivk. Give prob of picking 2 v.
1/10
What is prob of picking 4 g when four letters picked without replacement from {p: 3, g: 9}?
14/55
Calculate prob of picking 2 r and 1 o when three letters picked without replacement from {r: 3, o: 5, u: 2}.
1/8
What is prob of picking 1 l and 1 a when two letters picked without replacement from {g: 1, a: 1, l: 2, w: 1}?
1/5
Four letters picked without replacement from {f: 2, v: 8, k: 9}. Give prob of picking 2 k and 2 v.
84/323
Two letters picked without replacement from wjdjeeedjwcdjeee. Give prob of picking 1 j and 1 w.
1/15
Three letters picked without replacement from wwwwwwowwwwwwoowww. Give prob of picking 2 w and 1 o.
105/272
Calculate prob of picking 2 j when two letters picked without replacement from {j: 13, v: 5}.
26/51
Calculate prob of picking 1 a and 1 d when two letters picked without replacement from aaaadaaddaaadaaaaa.
56/153
Four letters picked without replacement from uhuouhuhhuouuu. What is prob of picking 2 h and 2 o?
6/1001
Three letters picked without replacement from {k: 4, i: 3}. Give prob of picking 3 i.
1/35
Four letters picked without replacement from {p: 1, l: 2, e: 4, t: 8}. Give prob of picking 1 l, 2 t, and 1 e.
32/195
What is prob of picking 2 g when two letters picked without replacement from {x: 7, g: 2}?
1/36
Four letters picked without replacement from sssjsjsjsjs. Give prob of picking 3 j and 1 s.
14/165
Three letters picked without replacement from pnnppppppp. Give prob of picking 3 p.
7/15
Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {r: 2, m: 1, k: 1, y: 1, d: 2}.
1/21
Two letters picked without replacement from {d: 2, f: 1, o: 1, e: 1}. What is prob of picking 2 d?
1/10
Four letters picked without replacement from nbnbnbbnbnnbn. What is prob of picking 2 n and 2 b?
63/143
What is prob of picking 3 l and 1 d when four letters picked without replacement from {l: 9, d: 9}?
21/85
Two letters picked without replacement from drivieihvdv. Give prob of picking 1 e and 1 v.
3/55
Four letters picked without replacement from {p: 4, i: 14}. What is prob of picking 4 i?
1001/3060
Two letters picked without replacement from ugduuygnnyyytny. What is prob of picking 1 t and 1 g?
2/105
Calculate prob of picking 1 y and 1 x when two letters picked without replacement from xxyyx.
3/5
Calculate prob of picking 1 n and 1 d when two letters picked without replacement from mvdmmrndrdrmddm.
1/21
Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {y: 3, n: 1, u: 5, d: 6, t: 1, q: 1}.
3/68
Calculate prob of picking 1 n, 2 z, and 1 r when four letters picked without replacement from {r: 3, e: 6, n: 2, d: 3, z: 6}.
6/323
Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {m: 3, b: 1, q: 2, z: 1, j: 4, u: 1}.
1/33
Two letters picked without replacement from callaclaaaea. Give prob of picking 1 c and 1 l.
1/11
Calculate prob of picking 1 n and 2 w when three letters picked without replacement from {o: 4, n: 2, y: 4, w: 5, u: 1}.
1/28
Four letters picked without replacement from dngjjnj. What is prob of picking 1 j, 2 n, and 1 d?
3/35
What is prob of picking 1 a, 1 q, and 2 h when four letters picked without replacement from {a: 1, q: 1, v: 7, h: 5}?
10/1001
Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, r: 11}.
1/78
Calculate prob of picking 2 c and 1 x when three letters picked without replacement from {p: 1, g: 4, x: 2, h: 3, z: 2, c: 3}.
6/455
Calculate prob of picking 1 i and 3 z when four letters picked without replacement from {v: 4, i: 4, l: 5, w: 1, z: 6}.
16/969
Three letters picked without replacement from kkkqqqkkqk. What is prob of picking 3 k?
1/6
Two letters picked without replacement from lbylyyblbcylybyl. What is prob of picking 2 l?
1/12
Two letters picked without replacement from {q: 2, h: 1, c: 1, v: 1, t: 2, s: 1}. Give prob of picking 1 s and 1 h.
1/28
Three letters picked without replacement from {s: 4, c: 1, v: 3, f: 6, y: 2}. What is prob of picking 2 s and 1 f?
9/140
Calculate prob of picking 3 s and 1 h when four letters picked without replacement from {a: 2, s: 5, j: 3, h: 2}.
4/99
Two letters picked without replacement from oogo. Give prob of picking 2 o.
1/2
Calculate prob of picking 1 o and 2 j when three letters picked without replacement from ojoojojjjoooooooooo.
140/969
Three letters picked without replacement from {z: 2, a: 2, w: 1, r: 8}. What is prob of picking 3 r?
28/143
Calculate prob of picking 1 k and 1 s when two letters picked without replacement from ksruu.
1/10
Two letters picked without replacement from orrrererreeegekrepoe. Give prob of picking 1 r and 1 e.
28/95
Calculate prob of picking 1 m and 3 w when four letters picked without replacement from {w: 5, m: 1, s: 4}.
1/21
Two letters picked without replacement from {b: 8, a: 3}. Give prob of picking 1 a and 1 b.
24/55
Calculate prob of picking 3 l when three letters picked without replacement from mmllbmlqqql.
4/165
Three letters picked without replacement from zwzzwzzzwzzz. Give prob of picking 1 z and 2 w.
27/220
Two letters picked without replacement from vevisiiesieisvvsps. Give prob of picking 1 s and 1 p.
5/153
Two letters picked without replacement from nti. Give prob of picking 1 n and 1 t.
1/3
Three letters picked without replacement from {d: 2, k: 2}. What is prob of picking 1 d and 2 k?
1/2
Calculate prob of picking 2 p when two letters picked without replacement from ipppppppppppp.
11/13
Calculate prob of picking 3 r and 1 c when four letters picked without replacement from rvrvrrrcvvcccrtcv.
5/119
Calculate prob of picking 2 u when two letters picked without replacement from {u: 4, l: 2}.
2/5
Calculate prob of picking 3 q when three letters picked without replacement from {q: 11, m: 1}.
3/4
Calculate prob of picking 3 j when three letters picked without replacement from jjuuuujujuuuuj.
5/182
Four letters picked without replacement from akxfbfbffkkf. What is prob of picking 2 f, 1 a, and 1 x?
2/99
Two letters picked without replacement from thpoppopwjht. Give prob of picking 2 o.
1/66
Three letters picked without replacement from zzfzafvvzzazavizazz. Give prob of picking 1 a, 1 v, and 1 z.
36/323
What is prob of picking 1 g and 3 s when four letters picked without replacement from {g: 2, z: 1, s: 8, e: 4}?
16/195
What is prob of picking 3 z when three letters picked without replacement from {x: 10, z: 10}?
2/19
Two letters picked without replacement from occcoo. What is prob of picking 2 o?
1/5
Three letters picked without replacement from {e: 5, m: 2, u: 2, y: 1, i: 5, t: 2}. Give prob of picking 2 u and 1 y.
1/680
Calculate prob of picking 1 r and 1 k when two letters picked without replacement from rkkkkkkvkkkkkrkvv.
3/17
Calculate prob of picking 1 z and 1 u when two letters picked without replacement from azzuukauzurkzu.
20/91
Two letters picked without replacement from {e: 5, w: 1, z: 1, v: 1, i: 7}. Give prob of picking
|
{
"pile_set_name": "DM Mathematics"
}
|
rue
Is 646909 prime?
True
Is 49491451 a prime number?
False
Is 136546541 prime?
True
Is 20333947 a prime number?
True
Is 3898069 composite?
True
Is 2828939 composite?
False
Is 6179761 a composite number?
True
Is 20377283 a prime number?
True
Is 167228807 prime?
True
Is 1529027 prime?
True
Is 6411521 composite?
False
Is 35282257 prime?
False
Is 5484983 a composite number?
True
Is 7584347 composite?
True
Is 5890747 composite?
False
Is 734932649 composite?
True
Is 511963217 a prime number?
True
Is 3280273 a composite number?
True
Is 100317253 prime?
True
Is 184489687 prime?
True
Is 1591559 a prime number?
False
Is 224213555 prime?
False
Is 4055321 composite?
False
Is 171089141 a prime number?
False
Is 5052101 composite?
True
Is 2183767 a composite number?
True
Is 164474459 a composite number?
True
Is 9709183 a composite number?
True
Is 15857423 a composite number?
True
Is 404217854 prime?
False
Is 5722495 composite?
True
Is 1936082 a composite number?
True
Is 33017837 a composite number?
False
Is 5441153 a composite number?
True
Is 11419921 a composite number?
False
Is 328235 a prime number?
False
Is 2911679 a composite number?
False
Is 17768714 prime?
False
Is 471853 a prime number?
True
Is 6582551 composite?
False
Is 9570361 a prime number?
True
Is 7451071 composite?
False
Is 30599902 a composite number?
True
Is 15265505 a composite number?
True
Is 9028645 prime?
False
Is 574440511 a prime number?
False
Is 56565853 a prime number?
True
Is 146691313 composite?
True
Is 11359471 a composite number?
False
Is 178699639 a composite number?
False
Is 14383157 prime?
False
Is 95507459 prime?
True
Is 1790563 prime?
False
Is 7854991 composite?
False
Is 110924579 prime?
False
Is 210329 a prime number?
False
Is 18980111 composite?
True
Is 95226139 a composite number?
False
Is 49604669 composite?
False
Is 9523819 prime?
True
Is 11618345 a composite number?
True
Is 67564859 a composite number?
True
Is 95551411 a composite number?
False
Is 78649889 a prime number?
False
Is 127131047 composite?
True
Is 345740333 prime?
True
Is 20564839 composite?
False
Is 11347873 composite?
True
Is 43427281 prime?
True
Is 119538451 prime?
True
Is 52091147 composite?
False
Is 10978203 a composite number?
True
Is 111690223 a prime number?
False
Is 8254003 composite?
True
Is 2432281 a prime number?
False
Is 31775721 composite?
True
Is 2660641 a composite number?
True
Is 5785331 a prime number?
True
Is 39282913 composite?
False
Is 5150407 prime?
True
Is 2383019 a composite number?
False
Is 96282089 a composite number?
False
Is 1094843 a prime number?
True
Is 5523293 composite?
False
Is 3849737 composite?
False
Is 5462957 prime?
True
Is 999767 composite?
True
Is 21024481 a prime number?
False
Is 21366551 composite?
False
Is 38000459 a prime number?
False
Is 13124321 a composite number?
True
Is 19329389 prime?
False
Is 43161683 a prime number?
True
Is 4657417 prime?
True
Is 19084811 a prime number?
True
Is 412967 a prime number?
True
Is 5268455 a prime number?
False
Is 7114379 prime?
False
Is 222550957 composite?
False
Is 187060189 a prime number?
False
Is 7701701 prime?
False
Is 2443229 prime?
False
Is 20623693 prime?
True
Is 5916169 a composite number?
True
Is 8263571 composite?
False
Is 3259771 composite?
False
Is 16409213 composite?
False
Is 7942729 a prime number?
True
Is 6735529 composite?
False
Is 234359179 composite?
True
Is 467763914 a prime number?
False
Is 1006553 composite?
True
Is 275403497 prime?
True
Is 29075209 prime?
True
Is 21665713 a composite number?
False
Is 76674529 a prime number?
True
Is 22682213 a prime number?
True
Is 11780765 a prime number?
False
Is 12003869 a composite number?
False
Is 20738209 a prime number?
True
Is 2000749 composite?
True
Is 137298023 prime?
True
Is 178131691 composite?
True
Is 247279 a composite number?
False
Is 5213651 a prime number?
False
Is 1368487 prime?
True
Is 32327371 prime?
False
Is 766321 a prime number?
True
Is 71384639 a composite number?
False
Is 67957223 composite?
False
Is 3207857 composite?
False
Is 246403 a composite number?
False
Is 1761313 a composite number?
True
Is 30798397 a composite number?
True
Is 111638047 prime?
True
Is 61751 prime?
True
Is 120641 a prime number?
True
Is 13087673 a prime number?
False
Is 3572579 prime?
True
Is 318337163 prime?
True
Is 17249249 a prime number?
True
Is 142957753 a prime number?
True
Is 22036051 prime?
True
Is 179587391 a composite number?
False
Is 44692261 composite?
True
Is 34445551 composite?
True
Is 98069291 a prime number?
False
Is 411212017 composite?
True
Is 3287617 prime?
True
Is 6379777 composite?
True
Is 1578509 a composite number?
False
Is 11732161 composite?
True
Is 367499321 prime?
False
Is 42132869 a composite number?
False
Is 6876179 prime?
True
Is 864581 a prime number?
True
Is 355115021 composite?
False
Is 7447631 a composite number?
False
Is 3073571 a prime number?
False
Is 37409783 a prime number?
False
Is 85819969 a prime number?
False
Is 8124577 composite?
True
Is 5630491 composite?
True
Is 182766839 composite?
False
Is 16897627 composite?
False
Is 1532753 a prime number?
False
Is 2629787 prime?
True
Is 720750203 a prime number?
True
Is 157215283 composite?
True
Is 28442849 prime?
False
Is 14066069 prime?
True
Is 5336117 composite?
False
Is 144938803 prime?
False
Is 83515609 prime?
True
Is 62238719 a composite number?
False
Is 64493561 prime?
False
Is 1288967 a composite number?
False
Is 36823031 composite?
True
Is 350347 prime?
True
Is 8937373 a composite number?
False
Is 527429 a prime number?
False
Is 617809 composite?
False
Is 270177317 prime?
False
Is 105054797 composite?
False
Is 20815639 prime?
False
Is 89645 a composite number?
True
Is 239109919 a composite number?
False
Is 1522679 a prime number?
False
Is 235203 prime?
False
Is 7747789 a composite number?
True
Is 10969217 composite?
True
Is 4150933 composite?
False
Is 43521827 a prime number?
False
Is 6997021 a composite number?
False
Is 39287161 composite?
False
Is 626903 a composite number?
True
Is 42036209 composite?
False
Is 4460837 a composite number?
False
Is 528497 prime?
False
Is 59669237 composite?
True
Is 51661357 a composite number?
True
Is 88112735 a prime number?
False
Is 24472387 a prime number?
True
Is 27220703 a prime number?
True
Is 4424359 prime?
False
Is 17452843 a prime number?
True
Is 1467846935 composite?
True
Is 3448933 a composite number?
False
Is 1341185 prime?
False
Is 1415987 composite?
True
Is 63538 composite?
True
Is 8279563 prime?
False
Is 6303083 a prime number?
False
Is 71451269 a composite number?
False
Is 16590601 composite?
False
Is 67971413 a prime number?
True
Is 1372951 a composite number?
False
Is 61107317 prime?
True
Is 97758691 composite?
False
Is 52402519 a prime number?
False
Is 1278857 composite?
False
Is 112902497 a prime number?
True
Is 3526247 prime?
True
Is 44549489 a composite number?
False
Is 606953239 a composite number?
False
Is 438116093 a prime number?
False
Is 1034162257 a prime number?
True
Is 5154577 a prime number?
True
Is 222221309 prime?
True
Is 44256223 a composite number?
True
Is 105378943 a composite number?
False
Is 1189865735 a composite number?
True
Is 47585555 prime?
False
Is 183102179 prime?
False
Is 2294977 a prime number?
True
Is 271409 prime?
True
Is 2486287 a composite number?
False
Is 4468277 a composite number?
True
Is 64636139 a composite number?
True
Is 101392001 composite?
False
Is 15781973 composite?
False
Is 4544929 a composite number?
True
Is 13620707 prime?
True
Is 34501919 prime?
False
Is 2688859 prime?
True
Is 394061 a composite number?
True
Is 3175343 a prime number?
True
Is 4148657 composite?
False
Is 11326453 a prime number?
True
Is 915983 composite?
True
Is 4354837 composite?
False
Is 7286491 composite?
True
Is 32975861 composite?
False
Is 2639719 a composite number?
True
Is 4277419 composite?
False
Is 500712983 prime?
True
Is 15703847 prime?
False
Is 3960505 a prime number?
False
Is 19024553 a composite number?
False
Is 12037295 a prime number?
False
Is 16363391 composite?
True
Is 23560661 a composite number?
False
Is 1031579 a composite number?
True
Is 98749571 prime?
False
Is 605433995 prime?
False
Is 29563927 prime?
False
Is 9049433 prime?
True
Is 127503089 composite?
True
Is 7997251 a composite number?
|
{
"pile_set_name": "DM Mathematics"
}
|
-1570123000 rounded to the nearest one million?
-1570000000
What is 0.034697289 rounded to 3 decimal places?
0.035
Round 0.270487 to 3 decimal places.
0.27
What is -0.2877591 rounded to 3 dps?
-0.288
Round 869934 to the nearest one hundred thousand.
900000
What is 0.000190653 rounded to seven dps?
0.0001907
What is -0.000826482 rounded to five decimal places?
-0.00083
Round -17619000 to the nearest one hundred thousand.
-17600000
What is -0.0001820932 rounded to 7 dps?
-0.0001821
What is -0.003252072 rounded to 4 decimal places?
-0.0033
Round -3824303100 to the nearest 1000000.
-3824000000
Round -0.03410215 to 2 dps.
-0.03
What is -0.001156253 rounded to three decimal places?
-0.001
What is -6028260 rounded to the nearest 10000?
-6030000
What is 0.02484885 rounded to three decimal places?
0.025
What is 5582770 rounded to the nearest one hundred thousand?
5600000
What is 0.39235 rounded to one decimal place?
0.4
Round 68.79951 to one decimal place.
68.8
Round 0.0000339899 to seven dps.
0.000034
What is -0.0000028309 rounded to seven decimal places?
-0.0000028
Round -0.0010987982 to seven dps.
-0.0010988
What is 187.599 rounded to zero decimal places?
188
What is 2.5468333 rounded to 2 decimal places?
2.55
What is -127.8739 rounded to 1 decimal place?
-127.9
Round 0.0000326284 to 6 dps.
0.000033
What is 3530.1082 rounded to zero decimal places?
3530
What is -2.98896 rounded to 1 decimal place?
-3
What is -0.001119612 rounded to 6 decimal places?
-0.00112
Round 8.657 to 2 dps.
8.66
Round -0.00000392973 to 6 decimal places.
-0.000004
Round 3.789168 to 0 dps.
4
Round -3818582 to the nearest 100000.
-3800000
Round -409966.1 to the nearest 1000000.
0
What is 7735.03 rounded to the nearest integer?
7735
Round -327074 to the nearest 10000.
-330000
Round 300141000 to the nearest 1000000.
300000000
What is -1138850 rounded to the nearest one thousand?
-1139000
What is -3409.719 rounded to the nearest 100?
-3400
What is -1688.69 rounded to the nearest 100?
-1700
What is -39352490 rounded to the nearest one million?
-39000000
Round -302.12 to the nearest 10.
-300
What is 31.838398 rounded to the nearest integer?
32
What is 0.6268048 rounded to 4 decimal places?
0.6268
What is 4.91452 rounded to two dps?
4.91
What is 81973700 rounded to the nearest one million?
82000000
What is 729.26869 rounded to zero decimal places?
729
Round 0.000001516937 to seven dps.
0.0000015
Round 0.0000009778263 to seven decimal places.
0.000001
What is 0.000003901027 rounded to 6 decimal places?
0.000004
Round 0.009957813 to three decimal places.
0.01
Round -0.0005987288 to four decimal places.
-0.0006
What is 0.00000115842 rounded to seven decimal places?
0.0000012
What is 6577852 rounded to the nearest one thousand?
6578000
Round -0.0000056535829 to six dps.
-0.000006
What is 659142.7 rounded to the nearest one thousand?
659000
Round 0.0005430136 to 5 decimal places.
0.00054
What is 53.6778 rounded to 1 dp?
53.7
What is 0.0000205603 rounded to 7 dps?
0.0000206
What is 0.0006776307 rounded to five dps?
0.00068
What is 961325.29 rounded to the nearest 100000?
1000000
Round 0.0000035102433 to 7 decimal places.
0.0000035
What is -0.005505796 rounded to 6 dps?
-0.005506
Round 9947097 to the nearest one million.
10000000
What is 0.000009184204 rounded to seven decimal places?
0.0000092
Round -7257306900 to the nearest one million.
-7257000000
What is -1.181311 rounded to one decimal place?
-1.2
Round 0.33446616 to three dps.
0.334
What is 0.00000761366 rounded to 5 dps?
0.00001
Round 11606510 to the nearest 1000000.
12000000
What is -8540230 rounded to the nearest ten thousand?
-8540000
What is -2437240 rounded to the nearest 10000?
-2440000
Round 82.085 to zero decimal places.
82
What is 171064.82 rounded to the nearest one thousand?
171000
What is -24.5406 rounded to the nearest integer?
-25
Round 0.005570064 to 4 dps.
0.0056
What is -0.1616921 rounded to 2 decimal places?
-0.16
Round 370252.38 to the nearest one hundred thousand.
400000
What is 19242.46 rounded to the nearest 10?
19240
Round 7919.43 to the nearest one hundred.
7900
Round -20684.431 to the nearest integer.
-20684
Round 6865908 to the nearest one million.
7000000
Round -8560.88 to the nearest 10.
-8560
Round 4470957 to the nearest 1000.
4471000
What is 589.266 rounded to the nearest 10?
590
Round 0.000008470375 to five dps.
0.00001
What is 0.5714708 rounded to 3 decimal places?
0.571
Round 0.0000054839 to seven dps.
0.0000055
What is 0.2048645 rounded to 3 dps?
0.205
Round 0.9397856 to 3 dps.
0.94
Round 0.0000745583 to five dps.
0.00007
What is 2019391.7 rounded to the nearest 1000000?
2000000
What is 9.59931 rounded to 2 decimal places?
9.6
Round 0.00412646 to 4 decimal places.
0.0041
Round 76797000 to the nearest 100000.
76800000
What is 2.633379 rounded to 3 dps?
2.633
What is 438.20745 rounded to the nearest integer?
438
What is -0.383559 rounded to three dps?
-0.384
What is -31.986 rounded to zero decimal places?
-32
Round -0.006280247 to three decimal places.
-0.006
What is -0.2063487 rounded to three dps?
-0.206
Round -0.0143612 to 3 decimal places.
-0.014
What is 0.0008482734 rounded to four decimal places?
0.0008
Round -3375640 to the nearest 1000000.
-3000000
What is 111851.9 rounded to the nearest one thousand?
112000
What is 3812.48 rounded to the nearest 10?
3810
What is 83961.9 rounded to the nearest ten thousand?
80000
Round -137227635 to the nearest ten thousand.
-137230000
Round -607.35456 to zero dps.
-607
Round -0.05151369 to five decimal places.
-0.05151
What is -39993 rounded to the nearest 100000?
0
What is -0.0000533662 rounded to 7 dps?
-0.0000534
What is 0.0180197 rounded to three dps?
0.018
Round -0.0009560156 to 4 dps.
-0.001
Round -283980.2 to the nearest 10000.
-280000
Round -65085662 to the nearest one million.
-65000000
What is 0.00091416 rounded to 5 decimal places?
0.00091
What is -378621 rounded to the nearest one thousand?
-379000
What is 8151.03 rounded to the nearest 1000?
8000
Round -30757470 to the nearest 10000.
-30760000
What is 1770.571 rounded to the nearest 10?
1770
Round -0.0632156 to 2 dps.
-0.06
What is -6396 rounded to the nearest ten thousand?
-10000
What is 54.413823 rounded to the nearest 10?
50
Round 0.06783548 to 4 dps.
0.0678
What is -0.18768441 rounded to four decimal places?
-0.1877
Round -3872.075 to the nearest ten.
-3870
What is 0.4004906 rounded to one dp?
0.4
What is 359.0469 rounded to the nearest 10?
360
Round -1035.425 to the nearest 10.
-1040
Round 10078.055 to the nearest ten.
10080
What is 811020 rounded to the nearest one hundred thousand?
800000
What is 0.00013489696 rounded to 7 dps?
0.0001349
Round -55130.05 to the nearest one hundred.
-55100
What is -0.4608 rounded to 1 decimal place?
-0.5
What is -8647.91 rounded to the nearest one thousand?
-9000
What is -0.00000743814 rounded to six dps?
-0.000007
What is -439370600 rounded to the nearest 1000000?
-439000000
Round -0.0002130267 to seven dps.
-0.000213
What is 0.00862374 rounded to 5 decimal places?
0.00862
What is -2726141 rounded to the nearest one million?
-3000000
Round 0.00638271 to 3 dps.
0.006
Round -0.0000010735608 to 7 dps.
-0.0000011
Round -0.0029469234 to 4 dps.
-0.0029
Round 0.02418467 to five dps.
0.02418
Round -44.33379 to 0 dps.
-44
What is 92218800 rounded to the nearest 100000?
92200000
Round 10497940 to the nearest one million.
10000000
What is -982370 rounded to the nearest 1000?
-982000
What is -74.0035 rounded to 1 dp?
-74
What is -7.652276 rounded to two dps?
-7.65
What is -13548430 rounded to the nearest one hundred thousand?
-13500000
What is 0.0000043083232 rounded to seven decimal places?
0.0000043
Round -0.2498407 to two dps.
-0.25
What is 12530460 rounded to the nearest ten thousand?
12530000
Round -33435.505 to the nearest 100.
-33400
Round -0.064365 to two decimal places.
-0.06
What is 113.98549 rounded to 1 decimal place?
114
What is -2985169.3 rounded to the nearest one thousand?
-2985000
Round 8844.3 to the nearest 1000.
9000
What is -0.0763127 rounded to three decimal places?
-0.076
Round 743492400 to the nearest one million.
743000000
What is 0.003042629 rounded to five decimal places?
0.00304
What is 0.000007889841 rounded to 6 decimal places?
0.000008
|
{
"pile_set_name": "DM Mathematics"
}
|
5/15 - y**4/6 + 2*y**3/3 + y**2. Let q be t(-5). Let h be q*(-4)/(12/9). Solve h*i - 16 = -i for i.
4
Suppose 2 = -2*v - l, 0*v - 5*l - 17 = 3*v. Let j = v - 1. Solve j = -3*a + 2*a + 3 for a.
3
Suppose 2 = -4*r + 2*k, -3*r = 2*r - 4*k + 4. Suppose -2*a - 4*d = -0*a + 14, 3*a + 3*d + 6 = r. Solve -5 = -4*b + a for b.
2
Let r = -2 + 12. Suppose 0 = -r*p + 7*p + 9. Suppose i + 0*i + 4*m - 37 = 0, 0 = -p*m + 9. Solve 0*f - 5*f = -i for f.
5
Suppose 4*h = 3*h + 21. Suppose -h + 1 = -5*f. Solve f*p = 5*p for p.
0
Suppose -3*b + 0 - 1 = -5*q, 3*q = b + 3. Suppose 5*m = q*m + 9. Solve 4*l + m = -9 for l.
-3
Let m(h) = h + 20. Let z = 3 - 3. Let x be (z/(-1))/(-2 - 0). Let f be m(x). Solve -f = 8*k - 4*k for k.
-5
Suppose -2*s + 4*s = 0. Suppose -u + 10 = -s*u. Solve 5*z = -5 + u for z.
1
Let g(p) be the first derivative of p**2 + 2*p + 4. Let y be g(1). Solve y*u + 0*u + 8 = 0 for u.
-2
Let c(j) = -j**3 - j. Let s be c(-1). Suppose 0 = s*d + 5*a - 28, 5*d - 4*a - 1 = 3. Solve 6 = -d*t - 2 for t.
-2
Suppose -2*z + z = 0. Solve -3*g = -3 - z for g.
1
Suppose 5*s - 12 = -2*w, 2*w = -0 + 2. Solve s*o + 0*o = -6 for o.
-3
Let d(h) = h**3 - 8*h**2 - 7*h - 13. Let t be 2/(0 + (-4)/(-18)). Let i be d(t). Solve 16 - 1 = i*s for s.
3
Let j be 7/(-28) + (-26)/(-8). Let w be -1 + j/3 - 0. Solve 3 = g - w for g.
3
Let t = -8 - -13. Suppose -5*o + 6 = 2*u - 1, t*o = u + 19. Solve o*h + 0*h = 0 for h.
0
Let f(o) = o + 12. Let i be f(-5). Let v = -20 + 51. Suppose -v = -2*y + 2*h - 7, -48 = -3*y - h. Solve y = -2*u + i*u for u.
3
Let g(r) = -r + 5. Let u be g(-7). Let j = 19 - u. Solve 2*v = j - 3 for v.
2
Let m = -9 + 16. Let k be (36/(-27))/(1/3). Let i = m + k. Solve -6*g + i*g - 6 = 0 for g.
-2
Let r(q) = -q**3 + 11*q**2 + q - 10. Let t be r(11). Let y be t/(-3) - 19/(-3). Suppose 0 = -5*v + 3*v + y. Solve 5*k = -v + 18 for k.
3
Let g(z) = z**2 + 11*z + 12. Let m be g(-10). Solve -m*u + 20 = 3*u for u.
4
Suppose 3*i - 7*i + 45 = 3*m, 75 = 5*m - i. Suppose 0 = 4*y - y - m. Let p = y - 5. Solve p*k = k + 1 for k.
-1
Suppose -3*f - 4*j = -12, 0*f = 2*f - j + 3. Let m be 4 + (-2 - (-5 - -4)). Solve f = -m*a + 8*a for a.
0
Suppose 0 = -6*d + 9*d - 15. Solve g - d = -1 for g.
4
Let i be 2 + (6 + -3 - 1). Let z be (-20)/(-9) - i/18. Suppose -2*t + 0*t + 10 = 3*h, -5*h = -3*t - 4. Solve z = -k - h for k.
-4
Let m(d) = d**2 - 7*d + 8. Let p be m(6). Let c(q) = q**3 - 17*q**2 + 15*q + 19. Let y be 8/(-10)*-1*20. Let f be c(y). Solve -f*n = p*n for n.
0
Let v be 6/(-9) - 40/(-6). Let b be v + (1 - 0/3). Suppose 2*n - n - b = 0. Solve -4*w + 13 = -n for w.
5
Suppose -45 = 2*u - 5*u. Solve 5*p - u + 0 = 0 for p.
3
Let z be (-45)/(-10) + 6/(-4) + 20. Solve 4*y + 3 = z for y.
5
Suppose 42 = -4*w + 50. Solve w*n - 4 = -0*n for n.
2
Let p be ((-16)/(-24))/(3*2/45). Solve -p*c + 3 = -7 for c.
2
Let v(c) = -c**3 + 6*c**2 + 6*c + 6. Let h be v(7). Let y be (1/(-3))/(h/6). Solve -s + 3*s = -y for s.
-1
Let h(y) = y**2 - 11*y - 7. Let x be h(12). Solve 2*o = 3 - x for o.
-1
Suppose 2 = 2*k - 4. Suppose 4 = -k*c + 4*c. Solve c*r = 6*r + 6 for r.
-3
Suppose 8*z - 11 = 13. Solve 4*c + 5 = z*c for c.
-5
Let s be 46/10 - (-6)/(-10). Suppose 5*u = s*u + 8. Suppose 2*d = -d. Solve -u + d = 2*h for h.
-4
Let n = -2 + 6. Suppose 3*c + 3 = -2*h, 0 = n*c - c - 3. Let g be (h/6 + -1)*-6. Solve 4*o = 7 + g for o.
4
Suppose -2*v - 3*v = 0. Suppose -3 = 3*q, v*u + 16 = 2*u - 2*q. Solve -3*j = 22 - u for j.
-5
Let p = 2 + -2. Suppose p = 4*r - r. Suppose 5*o + 0*z + 5*z - 20 = r, -o - 3*z + 8 = 0. Solve -j = o*j for j.
0
Suppose -1 = 2*l + 5. Let r(o) = o + 3. Let z be r(l). Suppose -4*c + 0*c + 24 = 0. Solve t - c*t = z for t.
0
Let x be 8 + -8*(12/(-8) + 1). Solve -c - 3*c - x = 0 for c.
-3
Suppose 1 = x - 4. Solve -x = a - 0*a for a.
-5
Let p(h) = h**3 - 3*h**2 + 9*h - 8. Let m(g) = -g**3 + 2*g**2 - 8*g + 7. Let c(a) = -7*m(a) - 6*p(a). Let f be c(-2). Solve -2*d + 1 = -f for d.
2
Let h(s) = -s + 7. Let r be h(5). Let j = 3 + r. Let v = -1 + j. Solve -g + 5*g = -v for g.
-1
Suppose 0*m + 3*m = 6. Solve 5*w + m - 27 = 0 for w.
5
Suppose -q = -5*q - 8. Let k = 0 - q. Suppose k*l - 3*t = -3*l - 1, 0 = -2*l + 5*t - 8. Solve 4*b = 3*b + l for b.
1
Suppose -2*r + 30 = -0*r. Suppose 5*w = 0, -4*d - d + 3*w + r = 0. Solve 7*p = d*p for p.
0
Suppose 3*t - 4*t + 11 = 0. Let i(o) = -o**3 + 12*o**2 - 10*o - 1. Let b be i(t). Solve b = p - 3*p for p.
-5
Let g = -6 + 8. Let a be (0 + g)/(8/20). Solve 0*r + 10 = a*r for r.
2
Let p(y) = -y**3 + 4*y**2 + 3*y - 2. Let k be p(3). Let l = 32 - k. Solve -4*z = -0*z - l for z.
4
Suppose 76*b - 83*b + 28 = 0. Let z(v) = -v**3 + 3*v**2. Let y be z(3). Solve -b*s + y = -12 for s.
3
Suppose -8*w = -11*w. Solve 0 = -v - w*v - 3 for v.
-3
Let l = 44 - 40. Solve 0 = l*u - 9*u - 20 for u.
-4
Let r(b) = -b**2 + 6*b - 3. Suppose 3*y = -0*y + 6. Let w be 1 + 0 + 2 + y. Let u be r(w). Solve 2*f = f - u for f.
-2
Suppose -4*y = 0, -3*m + 2*y = m - 12. Suppose 0 = 5*d + p - 17, -3*p = -2*d - 0*p. Let f be 1*(3 - d) - 0. Solve f = -v + m + 2 for v.
5
Let y be (-2)/(-2) - (-5 + 12). Let k = y + 6. Suppose k = 3*l - 17 - 19. Solve 2*b - 6*b + l = 0 for b.
3
Let x = -8 - -7. Let l be (1 - 1)*(2 + x). Solve 1 = -o - l for o.
-1
Suppose 0 = 15*h - 14*h - 3. Solve -f + 4 = -h*f for f.
-2
Suppose -7*s = -9*s + 6. Solve -s*f - 5 = 2*f for f.
-1
Let j be 0/(-2)*(-2)/(-4). Let q = -41 - -69. Let d be (2 + q/(-16))*4. Solve -l + j*l = d for l.
-1
Let h(m) = 2*m - 5. Let f(x) = x**2 - 3*x + 1. Let b be f(4). Let a be h(b). Suppose 19 = 5*u + 2*z - 20, -a*z = -10. Solve -j = -4 + u for j.
-3
Let x = -8 + 11. Suppose -2*m + 12 = -4*p, 0 = 3*m - 8*m + 5*p + 35. Suppose -x*h = h - m. Solve 3*b = 5*b - h for b.
1
Let y be 75/(-27) + 12/(-54). Let l = y - -15. Solve 2*u = 5*u - l for u.
4
Let u(v) be the second derivative of 9*v**5/20 + v**2/2 - 6*v. Let q = 1 - 0. Let i be u(q). Solve -2*w - i + 2 = 0 for w.
-4
Let o be (-34)/(-10) + 46/(-115). Solve -q + 4 = o*q for q.
1
Let p be (0 - -6)/(6/(-8)). Let q be (p/(-10))/(2/5). Solve q*o = 7*o - 25 for o.
5
Let o(z) = z + 2. Let n(g) = g + 4. Let u(k) = k**3 - 4*k**2 - 4*k - 2. Let r be u(5). Let f be n(r). Let j be o(f). Solve -5*v - j = 1 for v.
-2
Let y(g) = -4*g + 9 - 1 - 1 - g**2. Let l be y(-5). Suppose -2*n = l*q - 6, 2*n - 8 = -3*n + 2*q. Solve -3*a + n*a + 3 = 0 for a.
3
Let q be (-1)/(-3) - (-26)/(-6). Let h = 0 - q. Suppose 0 = m + h*m - 10. Solve -j = m*j - 6 for j.
2
Let b = 27 + -16. Solve -5*y + b = 1 for y.
2
Suppose 0 = -o - 1, 0 = -3*v - v + 4*o - 12. Let x be ((-9)/3)/(3/v). Suppose 5*f = 3*f + x. Solve -g - 2 = -f*g for g.
2
Suppose m - 4 = -3*m. Let n be (-7)/(-4) - m/(-4). Let p be -3*(3 - n)/(-1). Solve -2*a = a - p for a.
1
Suppose -5 = -l - 2. Let m be ((-28)/6)/(2/(-3)). Suppose -4*v + m*v - 6 = 0. Solve 3 = v*a - l*a for a.
-3
Let u = 28 - 23. Let i(r) = -5*r**2 - 4*r + 2*r**2 + 4*r**2 - 2. Let b be i(u). Solve b = -4*w + 15 for w.
3
Let k(b) = b**3 - 9*b**2 + b - 9. Let p be k(9). Suppose -4*a + a + 12 = p. Solve a = -0*s - 4*s for s.
-1
Let g = -4 + 1. Let w = 3 + g. Solve w*l - 3 = -3*l for l.
1
Suppose 11 = -4*o + 23. Solve -o = 3*k - 0*k for k.
-1
Suppose 36 = 3*r + 24. Let c be (9/6)/(3/4). Let a(d) = -d + 2. Let j be a(c). Solve r*i = -j*i for i.
0
Let p(q) = -q**3 - 7*q**2 + 8*q + 3. Let i be p(-8). Let m be ((-2)/4)/(i/(-12)). Solve -15 = -m*g - 5 for g.
5
Let h = -2 - -6. Suppose -d - 9 = -4*q, -2*q + h*d + 8 = -0*d. Solve -4*s - 2 = -q*s for s.
-1
Let o(x) = -x**3 + 7*x**2 - 7*x + 6. Let q be o(6). Suppose q = 2*w - w. Let c be 0 + 1 - (w - -1). Solve 0 = 3*r - c*r for r.
0
Let w(z) = -z**2 + 8*z + 11. Let i be w(9). Suppose 5*y - 10 = 0, 0*u + 4*u = 5*y + 14. Solve 4*r - u = i*r for r.
3
Let v(n) be the second derivative of n**4/12 - 5*n**3/3 + 5*n**2 - n. Let l be v(8). Let w = 9 + l. Solve 0 = -w*a - a - 12 for a.
-3
Suppose -78 = -5*j - 3*k + 35, 3*j - k = 79. Suppose -s + 0*c - 4*c = -20, 4*c = 20. Let b be -1 - s/3 - -6. Solve 0*q - j = -b*q for q.
5
Suppose 2*r - 2*x - 20 = 0, 0 = -r - 3*x - 7 + 1. Solve -r = -0*m - 2*m for m.
3
Let i be (8/3)/((-6)/(-27)). Let z = i - 6. Solve 2*q + 2 = -z for q.
-4
Let z be ((-1)/2)/(10/(-100)). Suppose a + 4*a - 20 = 0. Solve a*w - 3 - z = 0 for w.
2
Let a(u) = u**3
|
{
"pile_set_name": "DM Mathematics"
}
|
cond biggest value? (a) -78 (b) j (c) -2/5 (d) 4/7
c
Let x = -9 + 13. Let n = 5 - x. Let q = 6 - n. Which is the third biggest value? (a) -0.1 (b) q (c) 1/9
a
Let q be (-36)/70 - 14/49. Let h be -1*2 - (-56)/32. Which is the third smallest value? (a) -11 (b) -0.4 (c) h (d) q
b
Let h = -1213 + 1206. What is the second smallest value in -1/4, h, 0.3?
-1/4
Let y = 9 - 8.5. Let h = 2.5 - y. Let n = 27 - 53/2. What is the smallest value in n, h, -0.1?
-0.1
Let z = -1 + 2.3. Let o = 245.2 - 247. Let j = z + o. Which is the third biggest value? (a) j (b) 6/7 (c) -1
c
Let b = 13.5 - 13. Let n = -6/19 + 73/171. What is the second smallest value in -4, b, n?
n
Let t be ((-60)/80)/((-9)/(-15)). What is the smallest value in t, 3, -4, -1/14?
-4
Let n(x) = -x**2 + 20*x + 47. Let q be n(22). Let a = 8 - 6. Let l = -5 + 10. What is the second biggest value in q, l, a?
q
Let r = -38.684 + -0.316. Which is the third biggest value? (a) -2 (b) r (c) 0.3
b
Let w = 480 - 34081/71. Let h = 147/355 + w. Let p = 27.3 + -27. Which is the biggest value? (a) h (b) p (c) 4
c
Let i be 4 + (39/(-21) - -1) + -4. What is the second biggest value in 4, 0.2, i?
0.2
Let r = -0.2 + -0.8. Suppose 3*o - 15 = -4*q, 1 = 2*q - 3*o - 2. Suppose q*z - z = 6. Which is the third smallest value? (a) z (b) r (c) 2/19
a
Suppose 8*g - g + 63 = 0. Let w be g/12*4/(-3)*-3. What is the biggest value in -0.5, 0, w?
0
Let v = -163 + 161. Let n = -34/3 + 343/30. What is the second smallest value in n, 0.2, v, -4?
v
Let z = 110 + -107. Let m = 2 + -24. What is the second biggest value in m, -1/3, z?
-1/3
Let j = -20.2 + 16.2. Suppose 16 = 3*o + o. What is the third biggest value in -0.5, o, j?
j
Suppose 3*n = -n - y + 10, -4*y - 23 = -5*n. Let j(l) = -l**2 + 3*l. Let w be j(n). Which is the second biggest value? (a) 0.3 (b) w (c) -1
b
Let n be (12/(-7))/(43/(-7) + 3). Which is the third biggest value? (a) n (b) 91 (c) 3/5
a
Let o = -4.349 - -0.349. What is the fourth smallest value in o, -5, -13, 0?
0
Suppose l - 18 = -4*n - 4*l, 3*n + 3*l = 15. Suppose -2*m = 3*r - 5, -n*r = -2*r - m + 9. What is the biggest value in r, -2, 2/11, -1/2?
2/11
Let m = 2/3 + -5/6. Let o = -1.832 + -0.168. Which is the second biggest value? (a) o (b) 98 (c) m
c
Let f = 0.2 - 0.4. Let j = -0.8 + 0.76. Let v = j + 0.54. Which is the biggest value? (a) -3/5 (b) v (c) f
b
Suppose -3*h = -t + 115, 3*t = 5*h + 4 + 185. Let n = 36 + h. Which is the biggest value? (a) 11 (b) n (c) -4
a
Let u = -2.045 + 6.097. Let x = u - 0.052. What is the smallest value in 5/4, 17, -2/17, x?
-2/17
Let s = -26 + 48. Let x = 22.3 - s. What is the third smallest value in -1/2, x, 2/17?
x
Let k = -24 - 30. Let v = 54.58 + k. Let j = 0.08 - v. What is the smallest value in j, 1/9, 0.3?
j
Let n = 3 + -4. Let p = 2 - n. Let q = 816 - 811. What is the second biggest value in p, q, -1/3?
p
Let p = -4 - -7. Let z = 0.073 + -42.073. Let y = z + 38. What is the third smallest value in p, y, 1?
p
Let l = 214 + -219. Which is the second biggest value? (a) -1 (b) -0.4 (c) -3 (d) l
a
Let n be ((-2)/(-9))/2*1. Suppose j - 6 = -4*b - 19, -2*b + j = 5. Let g be ((-48)/(-24))/(4/b). What is the third biggest value in n, 1/10, g?
g
Let q = -13.32 - -13. Let m = 3.63 - q. Let k = m - -0.05. What is the biggest value in 5, k, -2?
5
Suppose 2*l = -2*m + 16, -5*l - 47 = -5*m - 37. Let j = -2 + 5. Let v be -1 + j + (-16)/7. What is the smallest value in v, -2/43, m?
v
Let d = -4.99 + 5. Let z = 0.19 + d. Let v = -77 - -463/6. Which is the second smallest value? (a) z (b) 1 (c) v
a
Let y = 414 - 6208/15. Let d = 21 - 12. Let n = -21/2 + d. Which is the second biggest value? (a) 1 (b) y (c) n
b
Suppose 0 = 2*q - l - 57 + 53, 2*q - 2*l = 0. Which is the third biggest value? (a) q (b) 29 (c) 2
c
Let f be ((-88)/42 + 2)*3. Suppose 10 + 8 = 2*u. Let m be 18/42*3/u. What is the biggest value in f, -2/21, m?
m
Let g = -423 + 3803/9. Let y = -1677 - -1679. Which is the third biggest value? (a) g (b) -0.1 (c) y (d) 0.2
b
Let r = 101 + -86. Suppose -14*v = -r*v + 2. Let o(t) = -t - 1. Let q be o(-5). Which is the third biggest value? (a) 0.3 (b) v (c) q
a
Let p = 3 - 3. Let f = -4 + 9. What is the biggest value in f, p, 0.3?
f
Let w = -438.7 + 439. Let r = 0 - -0.1. Which is the third biggest value? (a) w (b) 0 (c) -0.2 (d) r
b
Let z = 32.989 + -33. Let v = 2.989 - z. Which is the second smallest value? (a) 0.2 (b) v (c) 1 (d) 14/5
c
Let s(f) = -f - 7. Let w(r) = -r - 15. Let v be w(-4). Let x be s(v). What is the second smallest value in x, -0.5, 3?
3
Suppose -x - 60 = -5*p, -5*p = 80*x - 75*x - 30. What is the second smallest value in -0.1, p, -2/21?
-2/21
Let z = -0.044 + -0.008. Let f = z + 0.052. Which is the fourth biggest value? (a) f (b) 2/19 (c) -0.4 (d) 6
c
Let y(l) = -118*l + 4833. Let t be y(41). Let a = -6 + 9. What is the fourth biggest value in t, -1.5, -0.5, a?
t
Let n = 0.6 - 0.34. Let j = -0.06 + n. Which is the second biggest value? (a) 4 (b) -0.2 (c) j
c
Let s = -0.5 - -0.9. Let q(z) = -z**3 - 6*z**2 - 7*z - 4. Let x be q(-4). Let f be (x/(-114))/(6/9). Which is the third biggest value? (a) f (b) 0.1 (c) s
b
Let u = 85 + -80. Let j be (-4)/u + 338/585. What is the biggest value in -3, j, -0.3?
j
Let d be 6/(((-2)/6)/(16/(-36))). What is the third smallest value in 4, 2/5, d, 0?
4
Suppose 8*p - 13 = 7*p - 3*o, 5*o - 29 = 2*p. What is the fourth biggest value in p, 0, 10, 2/3?
p
Let u be (-2)/6 - ((-84)/(-45))/(-14). Which is the second smallest value? (a) 2 (b) 5 (c) u
a
Let d = 45 - 318/7. What is the second smallest value in 7, -7, d?
d
Let r be ((-12)/10)/(9/30). Let z be (r/(-6))/((-5)/(-15)). Let o = z + -2. Which is the third biggest value? (a) o (b) -0.1 (c) 1
b
Let c = 276.96 - 278. What is the third smallest value in -2, c, 0.3?
0.3
Let k be (15/1 - 16)*(-2)/10. Let x = 2 - 4. Which is the third smallest value? (a) x (b) k (c) 3 (d) 2
d
Suppose -74*t + 55 = -71*t + 4*b, -t + 4*b = 3. Suppose -x + 1 = -2*x. What is the third smallest value in 2, t, x?
t
Let k(h) = 5*h + 88. Let p be k(-18). Let j = 0.4 + -1.4. Let s = j - -2. Which is the third smallest value? (a) s (b) p (c) -3/5
a
Let w be (64/(-90))/(-2) + (-20)/90. Let z(t) = t**3 + 10*t**2 - 11*t - 2. Let k be z(-11). Which is the second smallest value? (a) w (b) k (c) 1 (d) 0.2
a
Let k = -1 + 8. Let r = 2765/3 + -922. Which is the fourth smallest value? (a) 4 (b) k (c) r (d) 3
b
Let x be ((-4)/(-1))/(-50 + (18 - 2)). Which is the fourth smallest value? (a) 3/2 (b) -4 (c) -4.61 (d) x
a
Let u = -45137/5 + 9156. Let s = u + -129. Let i = 5.2 + -0.2. What is the biggest value in i, -3, s?
i
Let g = 0.19 - 4.19. Let d = 0.03 - -9.97. Let i = d - -1. Which is the third biggest value? (a) 0.2 (b) g (c) i
b
Let f = -46 - -66. Let l = -20.08 + f. Let z = l - 0.02. Which is the biggest value? (a) 0.4 (b) z (c) -2/29
a
Let b = 59.9 + 0.1. Let k = -59.6 + b. What is the third smallest value in -3/2, 4, k?
4
Let h be 3 + (-6 + 0)*1. Which is the third smallest value? (a) -2/9 (b) -6.3 (c) h
a
Suppose -w - 8 = -t, -3*t + 27 = -4*w - 0*t. Let q be (198/15)/((-4)/(-10)). Let g = q - 133/4. What is the smallest value in g, w, -1?
w
Let p = -6 + 3. Let v = -20883 + 20882.6. What is the biggest value in -7, 1/3, p, v?
1/3
Let r = 0 - -1. Let u be (-100)/360*3/(-5). Which is the smallest value? (a) u (b) r (c) -4
c
Let y = -1204 + 6016/5. Which is the fourth smallest value? (a) y (b) 6 (c) 2 (d) 0.2
b
Let m be ((2 - -1) + -2)*3. Suppose -2*b = -4*g, 0*b = -3*g + m*b. Let p be (9/3 - g) + -3. What is the smallest value in -1/8, p, -3?
-3
Let p = -9.07 + 6.07. What is the fourth biggest value in -9/4, 0.1, 6, p?
p
Let w = -1/60 - 1/12. What is the fourth smallest value in 2, w, 1/3, 4?
4
Let m(h) = -h**3 - 14*h**2 - 12*h + 17. Let o be m(-13). Which is the third biggest value? (a) -1 (b) -19 (c) 0.3 (d) o
a
Let l = -0.0218 - -0.0218. Which is the second smallest value? (a) 1/2 (b) -14 (c) l (d) 0.1
c
Let k = 600 + -602. Let j = -2.6 + 3. Which is the third biggest value? (a) 1 (b) k (c) j (d) 0.5
c
Let j be ((-3192)/9)/1*(-3)/(-13). Let o = j - -82. Let r = -0.05 - -3.05. What is the th
|
{
"pile_set_name": "DM Mathematics"
}
|
e value of 4 - (46 + -56 + (7 - (-3 + 5)))?
9
-4 + 0 - (14 + 16 + -12)
-22
What is the value of -6 - ((-1 - 1) + 1) - (0 - -7)?
-12
Evaluate (4 - 1) + (1 + -4 - -1) + -16.
-15
Calculate -1 - (3 - (-3 + -1 + 6)) - -2.
0
What is 4 + 2 + (-5 - (-6 - 5)) + 0?
12
Evaluate -4 + 12 + (-5 - -3) + -12.
-6
(2 - 11 - (3 + 1 + -11)) + 2
0
What is the value of 772 + -750 - (-1 + 15)?
8
Calculate -8 - ((2 + -6 - 9) + 6 + 10).
-11
What is -126 + 130 - (1 + 5 + 2 + 0)?
-4
What is the value of (6 - (21 - 10) - -8) + -4?
-1
Evaluate 15 - (-26 + 8) - 19.
14
Evaluate -1 - ((1 - 1) + 8 - (-2 - -7)).
-4
Evaluate -11 + (-28 - -14 - (-8 + -1)).
-16
Calculate (33 - 31 - (-1 - 8)) + -49.
-38
What is the value of -3 - (-8 + -3 + -1)?
9
What is the value of 11 + -35 + 5 - -44?
25
(-23 - (-13 + 1)) + 12
1
Evaluate (-13 - 0) + 5 + (2 - 10).
-16
Calculate 0 + 5 - (6 + -9 + (1 - -7)).
0
Calculate (10 - (4 + 6) - (-1 + 6)) + -1.
-6
What is (15 + 32 - 17) + 1 + -16?
15
(-13 - ((6 - 5) + -12)) + -1
-3
What is the value of -11 - -23 - (0 - -1 - -8 - 4)?
7
What is 37 + (10 - (19 - 0))?
28
What is -2 + 2 - (-7 + (10 - 0))?
-3
What is 7 - (-2 + (-3 - -5) - 1)?
8
Evaluate -6 + (-1 - (-13 - 2)).
8
Calculate -20 + (15 + -14 - (1 + 1 - 2)).
-19
Calculate (-9 - 6) + (-5 - -15).
-5
What is the value of (2132 - 2124) + (0 - (-14 - -2))?
20
Evaluate (17 - (27 + -14)) + -3.
1
What is the value of -2 + 6 + -5 - (27 + -32)?
4
1 - (-10 + 4 + 2 + (-1 - 2))
8
What is the value of -516 + 519 - (-1 + -9 - (2 - 2))?
13
Calculate 7 + ((11 - 25) + 2 - -10).
5
What is the value of 17 + -8 + 48 + -50 + 5 + 0?
12
What is (26 - (13 + -5 + -1)) + -4 + 3?
18
Calculate 8 - 0 - (1 + 3 + -8).
12
What is -4091 + 4112 + (0 + 7 - (0 + 0))?
28
What is the value of 21 - (21 - 17 - (17 - (2 - -4)))?
28
Calculate -101 - -114 - (4 + -20).
29
Calculate 1 + (16 - 17) - 3.
-3
What is the value of -11 + 5 + 3 + 0 + (1 - -20)?
18
(1 + (3 - -23) - 2) + -5
20
What is the value of 147 + -132 + (-29 - (2 - 5))?
-11
Evaluate (71 + -64 - (2 - -5)) + 11.
11
Calculate -20 - (-23 + (19 - 18)).
2
Calculate 10 - (-20 + 11 + 3).
16
Calculate -70 - -66 - (1 + 11) - (-1 + 2).
-17
What is 57 - (61 - -7) - (-2 + 2 - 9)?
-2
Calculate -18 + 27 + -6 + 12 + -1 + 6.
20
What is -6 - (-4 - -4) - (-7 - (10 - 19))?
-8
Evaluate 401 - 398 - (-12 - (3 - 2)).
16
Evaluate -41 + 39 + 22 + -48.
-28
Calculate 14 + (-9 - -3) + -9.
-1
What is the value of -9 + (1 - 1 - 2 - 0)?
-11
What is -7 + (-2 - (2 + (-6 - -4)))?
-9
What is (8 - 25) + 93 + -73?
3
What is -14 - (-5 + -11) - (-21 + 16)?
7
-15 - (9 + -10 - 4)
-10
What is 2 + 2 - (0 - (6 - (-9 - -8)))?
11
What is the value of 2 + (10 + -20 + 7 - -9) - -15?
23
5 + (-6 - 2) + (6 - 4)
-1
What is 0 + 2 + -32 - -43?
13
Evaluate (-5 + 7 - 3) + 6 + 6.
11
What is the value of (-7 - (2 + -6)) + (11 - 9)?
-1
Evaluate (-3 - -4) + -14 - -30.
17
What is 6 - -18 - 22 - (2 - 7 - 1)?
8
-42 + 44 + (1 + -1 - 10)
-8
Evaluate -674 + 676 - (-1 + 29).
-26
Calculate (-1 - -1) + (-40 - -49) - (2 - -6).
1
0 - (2 + 8) - (-207 - -209) - 22
-34
Evaluate -4 + -21 - (13 - (26 - 8)).
-20
What is the value of 5 + 7 + (-5 - 11) - (-1 + 5)?
-8
-11 + 9 + -8 + -2 - -25
13
What is 21 - 0 - (-302 + 307 + (2 - 0))?
14
Calculate 2319 + -2350 + -13 + (2 - 0).
-42
Evaluate (0 - -9) + (-5 - 14 - -13).
3
33 + (-2 + -5 - -12 - 1) + -8
29
Evaluate 1 - (10 - -1) - (978 - 981).
-7
What is the value of 22 + -15 + (2 - (12 - 2))?
-1
-12 + (26 - 25) - 7
-18
Evaluate 1 + -2 + (4 - (20 + -35)).
18
0 + (-3 - 23 - (-35 - -23))
-14
-6 + (-1 - -13) + (160 - 148)
18
What is the value of -8 + 22 + -1 + -4?
9
6 - ((5 - -7) + -2 - 6)
2
Calculate 1 + -1 + (-7 - -18) + -3.
8
What is (6 + -13 - -5) + (-7 - -6)?
-3
What is the value of (0 - 1) + -139 + 131?
-9
What is 6 + -2 + (-50 - -44) + -4 + 1?
-5
What is the value of 15 + (3 + (6 - (11 + -4)) - 8)?
9
What is the value of -27 - (-37 + 12 - -7)?
-9
Evaluate -12 - ((66 - 29) + -42).
-7
Evaluate 17 - (-6 + 15 + 17).
-9
What is -20 + 14 + -11 - -12?
-5
29 + -6 + 5 - 15
13
What is the value of 11 - (27 + -11 + -9 + 11)?
-7
What is the value of -7 + (15 - -1) + 0?
9
What is 2 + -16 + (8 - 1) + 13 + 6?
12
16 + -6 + (3 - 12)
1
What is the value of 223 + -214 - (2 + 4 + -1)?
4
Evaluate 0 + 5 - (253 - 258).
10
What is -5 + 1 + 1 + -10 + 7?
-6
1007 - 1012 - (0 + -29)
24
What is (-15 - (0 + (12 - 9))) + -9?
-27
Evaluate (1 - 0) + 6 + (-36 - -37).
8
What is (14 - -15 - 26) + 25?
28
Evaluate (1 - 27 - 1) + (1325 - 1326).
-28
Calculate (-9 - -1) + (-56 + 6 - -82).
24
Evaluate (-11 - (-7 + 12 - (5 + 1))) + 1.
-9
Calculate -3 + -1 + 7 + -1 + -3.
-1
Evaluate (1 - 21) + (-243 - -286).
23
Evaluate (13 - 6) + (-5 - (21 + 0 + -6)).
-13
What is (4 - (3 - -7)) + (13 - (-4 + 6))?
5
0 - 4 - ((-3 - 1) + (-57 - -74))
-17
What is (1 - 0 - -1) + (11 - 31) + 12?
-6
14 + -66 + 45 - (-4 + -1)
-2
(29 - 1) + -55 - (-2 + 2 + 0)
-27
Calculate 5 + -6 - ((0 - -1) + (-45 - -47)).
-4
What is the value of (2 - 6) + 21 - (5 - 4 - -4)?
12
Calculate -5 + ((6 - 14) + 5 - (-19 + 4)).
7
4 + -12 + 18 - (-8 - -1)
17
Evaluate 1 + 6 + -3 + (18 - 8) + -4.
10
Calculate 20 + 2 + -96 + 78.
4
-5 - -12 - (5 + 3 + 16)
-17
What is the value of -2 - (-58 - -30) - 17?
9
What is (-3 - 4 - -25) + 1 + (-6 - -2)?
15
((4 - 0) + -7 - -5) + 17
19
Calculate -26 + -29 + 92 + -35.
2
(-13 + 12 - -4) + -9
-6
Calculate -9 + (-2 - -5) - (-7 + 26).
-25
What is -9 + (5 - -10) + (-5 + 14 - -5)?
20
What is the value of -64 + 39 + 19 - (1 + -15)?
8
What is the value of (1 - 0) + -8 - 1 - (-610 - -603)?
-1
Evaluate 2 + 22 + 177 + -199.
2
What is the value of 40 + -50 + 0 + 5?
-5
Evaluate (-10 - -1) + (100 - 68).
23
Calculate (-9 + 1 + 1 - 13) + 3.
-17
-2 + 6 - (124 + -126)
6
Evaluate (1 - -6) + -6 + 8.
9
What is (1 - -18 - 16) + (-1 - -1) + 0?
3
What is the value of -8 - ((13 + -9 - 2) + -1 + -4)?
-5
Calculate -8 - (-5 - (6 - (-14 + 9 + -1))).
9
Evaluate 96 - 82 - ((2 - 3) + -6).
21
Evaluate -7 + 15 + -5 - 2 - -4.
5
-6 + (7 + -11 + (11 - 3) - -7)
5
Calculate -3 - (-14 + 12 - (-6 - 2)).
-9
(1 - -1) + 38 + -30 + -3
7
Calculate -234 - -217 - (-4 + 5).
-18
Calculate -12 + 1 - (190 - 203).
2
What is 7 + 4 - (-9 + 5 + -10 + 5)?
20
Calculate (9 - 2) + -9 + 13 - 3 - 2.
6
What is the value of 20 + 14 + -6 - 17?
11
-4 - -6 - -7 - (10 + -13)
12
-6 - ((-5 - 0) + -3)
2
-29 - (-11 + -27 + 29)
-20
Calculate (17 - 45 - 4) + 16.
-16
(10 - (-5 + 2)) + 20 + (-6 - 21)
6
What is the value of 14 + -43 + 10 - -10?
-9
Calculate (8 + (3 + -3 - 9) - 6) + 21.
14
Evaluate -16 - (-39 - (-17 + -19)).
-13
Calculate 6 - (-10 + (-3 - -7)) - 10.
2
What is the value of (2 - 2 - 1) + -133 + 107?
-27
What is the value of (-1 - -5 - -16) + -11?
9
What is the value of -11 + (-3 - (-4 + -2)) + 4?
-4
Evaluate 1 + -2 - 2 - (30 + -16 + 8).
-25
Calculate -4 + 7 + (1 - -1) - 4 - -5.
6
(-23 - -46 - 12) + -48 - (1 + -9)
-29
Calculate 29 - 12 - (15 + 6 + (1 - 11)).
6
Evaluate -1 + 4 + (-6 - -10 - 12) + 15.
10
What is -7 - (1 + 1 + 4 + -5)?
-8
Calculate 49 + -64 + (0 + 2 - -3) + -1.
-11
What is the value of -6 + 8 - (-76 - -22 - -20)?
36
Calculate -37 + (0 - (-19 - 11)).
-7
Evaluate 10 - (4 + (7 - -9)).
-10
What is the value of 8 - 4 - 2 - 6 - (-7 - 3)?
6
What is 13 + (-5 - 2) + -6 + (-2 - 15)?
-17
What is -17 - -3 - (-1 + (0 - (0 - -5)))?
-8
Evaluate (21 + 24 + -28 - 15) + (-2 - -1).
1
What is the value of 16 - -8 - (65 - 31)?
-10
What is 13 - -19 - (11 - -6)?
15
What is the value of 10 + 0 + (-44 + 12 - -29)?
7
Evaluate -25 - (-8 - (-25 + 44)).
2
6 + (13 + -4 - 17)
-2
What is the value of (24 - 22 - 4) + 1 + (-2 - 5)?
-8
Evaluate -11 + -2 + 1 + -42 + 50.
-4
What is the value of (-12 + 11 - 14) + 30 + 2?
17
What is the value of -9 + -11 + -13 - -18?
-15
What is the value of (-14 - -9) + 3 + 9?
7
-33 - ((-33 - -16 - -11) + -11)
-16
Calculate -6 + -3 + -6 + 6 + -4 + -2.
-15
8 + 1 + -5 + (-47 - 2 - -8)
-37
What is the value of (-7 - (-3 + (3 - 5))) + -12 + 15?
1
What is -25 - ((4 + -17 + -2 - -1) + 8)?
-19
What is (3 - 4) + (-10 - -7 - -9) + -20?
-15
Evaluate (9 + 4 - 8) + -9 + -2.
-6
Evaluate -60 + 72 - (1 - -14).
-3
0 + (-1 - (-10 + 0)) - (15 + 6)
-12
Evaluate -10 - -5 - (-9 + (23 - 11)).
-8
Evaluate -1 - -9 - (38 - 26) - (-9 + 0).
5
Calculate -22 + -48 + 19 - -26.
-25
Calculate -6 + (20 - (9 - -2)) + -4.
-1
0 + -7 + -1 + -43 + 34
-17
26 +
|
{
"pile_set_name": "DM Mathematics"
}
|
the second smallest value in b, -2/7, i, -0.2?
-2/7
Suppose 4*k + 3*v = -0*k - 24, v = -4. Let z = 0.49 + 74.51. Let j = -74.8 + z. Which is the smallest value? (a) j (b) k (c) -1
b
Let j = -3576.62 - -3576.5. Which is the second smallest value? (a) 1/11 (b) 73 (c) j (d) -1/2
c
Let u(d) = -d**2 + 7*d - 5. Let l be u(7). Let g = l + 4. What is the fourth smallest value in 4, -0.5, g, -0.4?
4
Suppose -4*g + 4 = 0, -7*y + 18 = -5*y + 4*g. Suppose l = -y + 3. Suppose 0 + 2 = h. What is the biggest value in -2/13, l, 2/3, h?
h
Let m be -65*(-14)/182 + 19/(-2). What is the fourth smallest value in 3, 0, -5/6, m, -3?
0
Let l = 25 - 24.7. Let t = -0.142 + -55.858. Let r = -53 - t. Which is the second smallest value? (a) r (b) l (c) 1 (d) 5/3
c
Let g = -121 + 607/5. Let w be (-7 - (-26 - -8)) + (1 - 7). Suppose 16*r = w*r + 44. What is the second smallest value in 3/2, r, g, -1?
g
Let v = -27.03 - -27. Let m = 2694 + -2701. What is the smallest value in -0.3, m, v, -3?
m
Let n = 106.8 + -122. Let t = -18.2 - n. What is the biggest value in 1, t, -4/7?
1
Let f = -178/1047 + -57/349. Let n be (-9)/24*2/(-6). Let r = 2.8 - 24.8. What is the second biggest value in f, n, r?
f
Let p = -2.7339 - 1.2661. What is the fourth biggest value in p, -4/5, -5, -75?
-75
Let y = -293.2 - -293.1. Let n = 5 - 16. Let q = 6 + n. Which is the fourth smallest value? (a) q (b) -0.4 (c) y (d) 0.4
d
Let h = -253 + 133. Let r = -120.09 - h. Which is the biggest value? (a) -2 (b) 2/3 (c) 2 (d) r
c
Let f = 227/345 + -4/69. Suppose -1 = 18*s + 143. Let v be -2*(65/(-10) - s). What is the second smallest value in v, f, 0.4, -5/2?
-5/2
Let f be 4/3*(-3)/(-22). Let o(m) = m**2 - 12. Let v be o(3). Let a be -1*(-6 - -2 - v). What is the biggest value in 0.3, a, f?
a
Let d be 10/18 - 3/9. Let k = 254.595 + -0.595. Let u = -258 + k. What is the biggest value in u, -5, d, -3?
d
Let j = 376/455 + 2/65. Let w = 613 + -613.007. Let a = 0.193 - w. What is the second biggest value in j, -0.2, a?
a
Let j be 3 - -14 - 23 - ((-3 - 1) + 0). What is the smallest value in -14, 116, 5, j?
-14
Let t = -21 - -21.1. Suppose -60*m = -33*m + 135. Which is the second biggest value? (a) m (b) 10 (c) t
c
Let v = 1.2 + -0.2. Let m = 21468 + -21472. What is the third biggest value in -1/7, v, m?
m
Let u = 647 - 588. Which is the second biggest value? (a) u (b) -3 (c) -8/3
c
Let b be 0/(3 + -1) + 7. Let t(x) = x**3 - 4*x**2 + 3*x + 4. Let k be t(3). Let g = -1045/36 - -117/4. What is the third smallest value in k, g, b?
b
Let y = 3599 - 3709. What is the third biggest value in -7, y, 0.5, -0.5?
-7
Let w = 958/5 - 3837/20. Which is the second smallest value? (a) w (b) 2/9 (c) 355
b
Let a = 1308.5 - 1709. Let i = -400 - a. Let s = 0.04 - 3.04. What is the biggest value in 4/3, 3, s, i?
3
Let u = 1496 + -1065. Let w = -431.5 + u. Which is the third biggest value? (a) -1 (b) w (c) -0.07 (d) 1
b
Let v = -1.2 + -2.8. Let x = -731 + 736. What is the second smallest value in 26, x, -1, v?
-1
Let y = 320.13 - -54.87. What is the third smallest value in -5, y, 1, -0.5, 5?
1
Let y = 668.1 - 665.1. Let q be 48/(-14) - (-14 + 11). Which is the second smallest value? (a) q (b) -3 (c) y
a
Suppose -4*f + 267 = -3*j - 125, 3*j + 380 = -2*f. Let b = j + 1922/15. Let q = -0.0111 - -0.5111. What is the biggest value in q, b, 0.8?
0.8
Let m = 7711 - 7710.84. Which is the third biggest value? (a) m (b) 5 (c) 7 (d) -2
a
Let q = -176072/3 - -58690. Let s = 2 + -1.8. Let t be 0 + 2*(-3)/(-27). Which is the fourth smallest value? (a) s (b) -6 (c) t (d) q
c
Let g = -17043 - -153385/9. What is the fourth smallest value in -0.02, 3, -5, g, -4?
-0.02
Suppose 4*q + 8*s - 7*s = -367, 5*s = q + 118. Which is the second biggest value? (a) 4 (b) q (c) 1
c
Let s = -16.251439 - 23786.709561. Let f = -23813 - s. Let d = -0.039 - f. Which is the third smallest value? (a) 0.2 (b) d (c) -1
b
Let c be (128/18)/2 - (-28)/(-7). Let f = 12.54 + -12.68. What is the second smallest value in c, f, -4?
c
Let p = -1282273/76 - -16872. Which is the third smallest value? (a) p (b) 1 (c) -5 (d) 4
b
Let b = 54 - 66.2. Let m = b - -14. Let n = m - 2.3. What is the third smallest value in 0.2, n, -0.3, -0.05?
-0.05
Let i be (1/42*6)/1*-1. Let d = -14.9 + -0.1. Let b = -20 - d. What is the biggest value in 0, b, i?
0
Let l = 0.9043 + 2.0957. Let w = -4 - 3. Which is the smallest value? (a) w (b) 1/10 (c) l (d) -0.3
a
Let x(i) = 10*i + 293. Let k be x(-29). Which is the third biggest value? (a) -12 (b) -1/3 (c) 40 (d) k
b
Let b = 15076 + -15077. What is the fourth smallest value in 0.07, -2/9, b, -1/2?
0.07
Let s = 12 + -12.3. Let q = 7980.5 + -7980. What is the fourth biggest value in -4, 3, q, s?
-4
Suppose -69*o = -13*o - 3472. Let n = o + -247/4. Let u = -84/5 - -77/5. Which is the third smallest value? (a) n (b) -0.1 (c) u
a
Let g = 10 - 10.026. Let h = 5.1 - 4.374. Let b = h + g. What is the third smallest value in 4, -1/5, 2, b?
2
Suppose 14 - 26 = c. Let q be 68/12 - (-60)/c. What is the smallest value in 3, q, 0.1?
0.1
Let n = 34.21 - 32.4. Let k = n + 2.19. Which is the second biggest value? (a) 0 (b) 1 (c) k
b
Let w = 0.23 - 3.63. Let g be 416/1140 - 30/855*-1. Which is the biggest value? (a) 3 (b) g (c) w (d) 4
d
Suppose -31 = -123*x + 126*x + p, -4*p + 44 = -2*x. Which is the third smallest value? (a) -1 (b) -5 (c) x
a
Let y = -11.2 + 11.015. Let h = 0.685 + y. Which is the second smallest value? (a) h (b) -0.2 (c) -5/2
b
Let o = -3988 - -3985. What is the third smallest value in -14, 0.04, o, 5?
0.04
Let s = -3117 - -3086. What is the smallest value in 5, 2/5, -0.5, s?
s
Let n be (-35)/30 - (-24)/36. Let v = -259/4 - -64. Let x = -3 - -3.2. Which is the third biggest value? (a) v (b) n (c) x
a
Let z = -326 + 1299/4. Let f = -0.129 - -0.039. Which is the fourth smallest value? (a) 2 (b) -0.1 (c) z (d) f
a
Let v = -793 - -550. Let d = v - -243.3. What is the fourth biggest value in -4, d, -5, 5?
-5
Let w be (-3)/5*(-760)/152. What is the second biggest value in w, -3, -629?
-3
Let t = -3558 - -3542.1. What is the smallest value in -12, 0, t?
t
Let i be (-1)/(-6 - (-1674)/282). Let y = 17 - i. What is the biggest value in 18, y, -4?
18
Suppose 1863*x - 3 = 1867*x + m, 2*m + 6 = -2*x. What is the fourth smallest value in -0.15, x, -8, 5?
5
Let c(b) = -b**2 + 9*b + 3. Let d be c(9). Let y be d/(222/(-4)) + 0. Let s = -100/481 - y. What is the second biggest value in s, -5, 5?
s
Suppose 2*g - 1595 = -1513. What is the third smallest value in -0.2, -2/11, g?
g
Let d = -1.284 + 1.384. Let j = 20 - 10. Let m = 7 - j. Which is the second smallest value? (a) d (b) -0.08 (c) m
b
Let y = 7486 - 7475. What is the second smallest value in y, -36, -0.01, -3/2?
-3/2
Let q = 248.7 + -290. Let r = 41.681 - 0.681. Let j = q + r. Which is the third smallest value? (a) j (b) 4 (c) 1/3 (d) -4
c
Let x = 2947 + -2972. Let t = 18655/4 - 4725. Let q = 61 + t. Which is the smallest value? (a) q (b) -3 (c) x
c
Let n = -17.0793 + 0.0193. Let y = -17 - n. Suppose 0 = 2*x - 3*s + 5, -3*s = 4*x - 4 + 5. Which is the third smallest value? (a) -3 (b) y (c) 0.1 (d) x
b
Let q = 3.6784 + -9.636. Let y = q - 0.0424. Which is the third smallest value? (a) 0.3 (b) y (c) 4
c
Let f = -181/36 + 43/9. What is the third smallest value in -0.061, -2/13, f, -0.02?
-0.061
Let k = -1265.5 - -1073. Let w = k + 190.9. Let z = 1 + -6. What is the smallest value in z, -0.1, w?
z
Let w = 25080 + -25056. What is the third smallest value in w, 1, 0.022?
w
Let u = -11565 - -11568. Which is the second biggest value? (a) 30.9 (b) 5 (c) u (d) 5/2
b
Let k(h) = -h**3 + 24*h**2 + 22*h - 532. Let i be k(24). Which is the biggest value? (a) i (b) -2 (c) -57 (d) -2/11
d
Let y = -314.5 - -311. Let k = -3.1 - y. Let q = -0.4 - 0.1. Which is the second biggest value? (a) -0.2 (b) -1/4 (c) k (d) q
a
Suppose g - 2*r + 118 = 0, -2*r + 254 - 24 = -2*g. Let i = -182 - g. Which is the third smallest value? (a) 0 (b) i (c) 0.5
c
Let d = -1.37 - -2.07. Let y = -2.7 + d. What is the smallest value in 5, -0.1, y?
y
Let u = 6 + 29. Let x = -12 - u. Let s = 44 + x. Which is the second smallest value? (a) 0.3 (b)
|
{
"pile_set_name": "DM Mathematics"
}
|
.809724
4 times -705.88116
-2823.52464
What is 52 times 555286?
28874872
What is the product of -16.4 and -1.253281?
20.5538084
What is -5 times -39712340?
198561700
Work out 99 * 236618.
23425182
Calculate -5*-206759.
1033795
0.05*1.262248
0.0631124
33.011*-766
-25286.426
-1 * -4.78222
4.78222
9094.19 * -84
-763911.96
Work out 13072.16062 * 5.
65360.8031
What is the product of -2596804 and -0.03?
77904.12
What is 5 times 34161596?
170807980
Calculate -13272*-0.03777.
501.28344
What is -0.015723 times 0.0002?
-0.0000031446
What is 2081 times -66083?
-137518723
Product of -2.5 and 404223.
-1010557.5
0.479 * 7171
3434.909
Multiply -967750 and -11.
10645250
-8122*-1560
12670320
Calculate 857.8377*-0.21.
-180.145917
0.0933 * 135.09
12.603897
-17946 times -19
340974
-210285*1.636
-344026.26
What is 27337371.9 times 4?
109349487.6
-242*-17298
4186116
Calculate 1.44*-10.772.
-15.51168
Calculate 93.63981*-5.
-468.19905
-6 * 9.20087
-55.20522
2.9854834 * -0.1
-0.29854834
Product of 164443846 and 3.
493331538
0.904 * 2217.3
2004.4392
-1014300 times -0.25
253575
Product of -6955 and 0.06161.
-428.49755
-8075 * -4577
36959275
Multiply -28.3 and -699693.
19801311.9
Calculate -7197.9773*0.
0
What is the product of 0.2 and -18.85318?
-3.770636
-8859722 * -0.19
1683347.18
Product of -160.69 and -27652.
4443399.88
-6*776495
-4658970
Multiply 340 and 77944.
26500960
Calculate -0.194528*-0.21.
0.04085088
Product of 9108948 and 0.5.
4554474
Product of -0.03869 and 3.65.
-0.1412185
-111*192.0175
-21313.9425
-1272.778 * 0
0
Calculate 4031105*-3.
-12093315
Calculate 1.22661*-0.03.
-0.0367983
What is -130 times 10.741?
-1396.33
0.1046 * -0.568
-0.0594128
Multiply -229 and -424891.
97300039
What is the product of 0.15 and 11230175?
1684526.25
What is -1317.07 times 5.9?
-7770.713
Product of 0 and -58554022.
0
0 times -25975323
0
1.85 times 769.114
1422.8609
Multiply 498.087 and -319.
-158889.753
72999 * -140
-10219860
Work out 0.294 * 0.2686.
0.0789684
-298.2*-9.64
2874.648
-3 times -34458.58
103375.74
Work out 1229 * -0.0639.
-78.5331
Calculate 0.072*75705.18.
5450.77296
2936.2 times 4.9
14387.38
Product of 0.2 and -1.92593013.
-0.385186026
Product of -199 and -48067.
9565333
6772516 * 6
40635096
2 times -20.69078
-41.38156
What is 2 times -3006910?
-6013820
Multiply 18352 and 0.02141.
392.91632
Calculate 0.02267*3423.42.
77.6089314
3475 times -62144
-215950400
Calculate -9.308*-1.0627.
9.8916116
What is the product of 1.1889 and -0.389?
-0.4624821
Product of 0.01067 and -0.014843.
-0.00015837481
What is 1078.0798 times 33?
35576.6334
Calculate -0.27*-1.7978.
0.485406
Product of -1450935 and 2.
-2901870
What is the product of -0.4 and 5.9408931?
-2.37635724
Calculate 0.59*120428.
71052.52
0.198 * 1671740
331004.52
What is the product of 6 and 0.0132026?
0.0792156
-2961161 times 2
-5922322
Calculate 5982*-1.61.
-9631.02
0.2 times -5872692
-1174538.4
82627.7 * 135
11154739.5
-2751 * -10992
30238992
Product of 691302.7 and 0.4.
276521.08
Work out 30955 * 0.115.
3559.825
Work out 76 * -1567348.
-119118448
What is the product of 1238076239 and -0.5?
-619038119.5
What is -3.4 times 349076?
-1186858.4
-4282 * 16505
-70674410
-1053127*0.3
-315938.1
Calculate -0.01148*263956.
-3030.21488
21.6 times 7657217
165395887.2
What is 4976258 times -0.1?
-497625.8
Multiply -6.6926128 and 0.
0
Calculate -9166.2*0.62.
-5683.044
32 times 11470141
367044512
What is 550 times -1989?
-1093950
What is -2 times 0.08028779?
-0.16057558
Calculate -4494.93*25.
-112373.25
Calculate 40149.643*3.
120448.929
What is the product of -5 and -10747.64?
53738.2
Work out 101.9612 * 1.2.
122.35344
Product of -19434845 and 0.05.
-971742.25
Multiply 4 and -3369871.
-13479484
10 * 3836652
38366520
Product of -0.11 and -0.8695036.
0.095645396
What is -0.4637 times -2814?
1304.8518
Multiply -78.085 and -96.
7496.16
-157808 times 0.7
-110465.6
Calculate 7*792.2713.
5545.8991
Product of 17262.077 and -0.3.
-5178.6231
3 * 207585967
622757901
1441989 * 3
4325967
-268 times -0.03316
8.88688
Product of -0.021 and -83.218.
1.747578
What is the product of -0.5 and 1095.821?
-547.9105
What is 35577 times -3593?
-127828161
Product of 522 and 1608.51.
839642.22
Calculate -265467888*-0.3.
79640366.4
-4*2671.8823
-10687.5292
Product of -2215.02 and 206.
-456294.12
Product of -58050753 and -1.
58050753
Multiply 0.6277304 and 25.
15.69326
-193.719835*-0.4
77.487934
-834 times 0.00651
-5.42934
-89*-2.35067
209.20963
Work out -0.837321 * 0.23.
-0.19258383
Multiply 4699517 and 101.
474651217
-11866 times 1375
-16315750
Multiply -0.61 and 22.156.
-13.51516
Multiply -37.97 and -1399.
53120.03
117 times -9485
-1109745
-2102 times -160.68
337749.36
Work out 83.06058 * -21.
-1744.27218
Work out 14 * -297627.35.
-4166782.9
-5*-14783208
73916040
What is the product of -345 and 0.60121?
-207.41745
What is -11218 times 486?
-5451948
-19448277 * 2
-38896554
2315367 times -0.92
-2130137.64
Product of -693023 and -15.
10395345
Multiply 0.1 and -28345135.
-2834513.5
1.2 * 9460328
11352393.6
0.61*47173
28775.53
Work out -25.84 * -0.071795.
1.8551828
Product of -6989.26 and -2.
13978.52
What is the product of 85.7 and 47977?
4111628.9
What is the product of 51254803 and -0.09?
-4612932.27
Product of 0.15164 and 116.
17.59024
7145536*0.4
2858214.4
Product of -466 and -66837.
31146042
-43273804 times 8
-346190432
Multiply -0.15 and 520838.
-78125.7
Calculate -0.1*18421296.
-1842129.6
116693.82 times 40
4667752.8
52.66735 times -5
-263.33675
-1*-48050812
48050812
0.06349659*-210
-13.3342839
Multiply -45.41 and -95190.
4322577.9
What is the product of -9.25172 and -0.1?
0.925172
0.086 * 54151
4656.986
What is the product of 10 and -6910.132?
-69101.32
-0.403413 times -1.04
0.41954952
Product of 2 and 0.31312431.
0.62624862
Work out -182 * -1.278765.
232.73523
Multiply 0.087 and 95448.
8303.976
-22370 * 18552
-415008240
Multiply 33 and -1893805.
-62495565
5.569*-1529
-8515.001
-7.81*-91260
712740.6
Product of -0.226274 and -417.
94.356258
0.059*-1465212
-86447.508
Work out -12948.0646 * 1.
-12948.0646
-1517 * -62.52
94842.84
Multiply 4.2143 and -2735.
-11526.1105
-0.041*-0.12639
0.00518199
Product of -0.0195 and 128.081.
-2.4975795
What is the product of -471.0632 and -0.3?
141.31896
What is the product of 0 and 303039016?
0
What is -3705.551 times -0.29?
1074.60979
2.2*3.25193
7.154246
What is the product of -1256308 and 0.074?
-92966.792
Product of 4.7 and -0.1212737.
-0.56998639
Multiply -1993431.92 and -2.
3986863.84
What is -0.2 times -2765584?
553116.8
0.353 * 17.83402
6.29540906
0 * -4408146
0
Multiply 8676988 and 4.
34707952
-0.1 times 306608
-30660.8
28060 * 425
11925500
-3.31352 * 111
-367.80072
Product of 411957792 and -0.2.
-82391558.4
0.497 times -189188
-94026.436
Work out -123 * -0.08821286.
10.85018178
Product of 0.1569 and 80151.
12575.6919
Calculate -80671*0.043.
-3468.853
-1.580147 times 4
-6.320588
-4.2 times 196009
-823237.8
Calculate -0.0770422*-0.08.
0.006163376
Multiply -0.08428093 and 4.
-0.33712372
Product of 98 and 1.6887.
165.4926
Work out 3 * 224.6043.
673.8129
Calculate -764.68*1.05.
-802.914
Multiply 4631751 and -0.03.
-138952.53
Work out 3.174 * -7289.
-23135.286
366.52 times 706
258763.12
210 times 1207
253470
0.03 times 4.50391
0.1351173
Work out -8.55 * 21.92.
-187.416
-641953 times -0.7
449367.1
Product of 120641167 and -8.
-965129336
Calculate 0.11*-42553.
-4680.83
What is the product of 287758 and -1167?
-335813586
Work out -0.85 * -0.400097.
0.34008245
Multiply 2797 and -6.642.
-18577.674
-2.70853961 * 0.3
-0.812561883
Product of -56056 and 95.
-5325320
Product of 12 and -6.1515.
-73.818
What is the product of 929373.31 and -7?
-6505613.17
Work out 312 * 0.461.
143.832
-24474106.2 times -5
122370531
-51321.45 * 15
-769821.75
-37663309 times 6
-225979854
Calculate -10.6*-5809.59.
61581.654
Work out 0 * 332412.
0
9042 * -3399
-30733758
Product of 8.8 and -5.5906.
-49.19728
75722 * -10
-757220
What is -3228234 times 4?
-12912936
What is -5 times -0.25964438?
1.2982219
-0.15711399*-0.5
0.078556995
What is the product of 70 and 283029?
19812030
Work out -0.476 * 4613.
-2195.788
Multiply 0.1122 and 70660.
7928.052
What is 378.8827 times -1?
-378.8827
Work out -4.14 * -32.4.
134.136
What is the product of -3184
|
{
"pile_set_name": "DM Mathematics"
}
|
he third derivative of z(x) wrt x?
960*x**2
Let x be 4/8 - 20/8. Let n(d) = -9*d**2 - 8 - 4*d**2 + 33. Let v(s) = -3*s**2 + 6. Let r(o) = x*n(o) + 9*v(o). Find the first derivative of r(j) wrt j.
-2*j
Let a(i) be the third derivative of -i**9/504 + 2*i**5/15 - 10*i**2. What is the third derivative of a(h) wrt h?
-120*h**3
Let p(z) be the third derivative of 5*z**8/42 + z**4/24 - 4*z**3/3 - 2*z**2 + 19*z. Find the second derivative of p(w) wrt w.
800*w**3
Let d be -4*(-3)/8*2. What is the derivative of 4*k**2 - 6*k**2 - 6 + d + 4*k**2 wrt k?
4*k
Find the second derivative of -7*j**2 - 8*j + 19*j**3 + 20*j**3 + 7*j**2 wrt j.
234*j
Suppose -4*s - 5*d = -37 + 8, -s + 3 = -3*d. Let b be (-28)/(-6) - 4/s. What is the second derivative of b*c - 2*c**2 + 2*c - 7*c wrt c?
-4
Let f(q) be the first derivative of 0*q + 0*q**5 + 0*q**3 + 0*q**4 - 4 + 4/3*q**6 - 7/2*q**2. What is the second derivative of f(u) wrt u?
160*u**3
Let l(x) be the second derivative of -x**4/12 - 5*x**3/6 - 3*x**2/2 + 2*x. Let u be l(-3). What is the third derivative of -3*y**2 - 6 + 3 + u - 3*y**4 wrt y?
-72*y
Let y(i) = -13*i**3 + 7*i + 6. Let v(h) = 6*h**3 - 3*h - 3. Suppose 2*c - 3 = c. Let f(n) = c*y(n) + 7*v(n). What is the derivative of f(k) wrt k?
9*k**2
Let l(x) be the first derivative of 23*x**4/4 - 26*x**3/3 - 9. Find the third derivative of l(a) wrt a.
138
Let m(u) = u + 4. Let l be m(0). What is the first derivative of -5*i**l + 3*i**4 - 8 + 3 wrt i?
-8*i**3
Suppose 2 = 4*n - 14. Let t(m) be the third derivative of 0 + 0*m + 1/3*m**3 + m**2 + 0*m**n + 0*m**5 - 1/120*m**6. Find the first derivative of t(r) wrt r.
-3*r**2
Let z(j) be the third derivative of -j**7/15 + j**4/2 - 11*j**2. What is the second derivative of z(t) wrt t?
-168*t**2
Let u(k) be the third derivative of -k**6/45 - k**5/24 - k**3 + 4*k**2. Let w(y) be the first derivative of u(y). Find the second derivative of w(t) wrt t.
-16
Let k be -1*(-2 + 0 - 0). Find the second derivative of 0*c**2 + c + 4*c**2 + 2*c**2 - 8*c**k wrt c.
-4
Let n be 1/(-1)*-11 + -3. What is the second derivative of -2*g**2 + n - 2*g - 8 wrt g?
-4
Let q(z) be the first derivative of -3*z**5 - 31*z - 31. Find the first derivative of q(m) wrt m.
-60*m**3
Let t(x) = 4*x**2 + 2*x + 1. Suppose 21*u - 10 = 16*u. Let p(m) = -63*m**2 - 33*m - 15. Let g(n) = u*p(n) + 33*t(n). What is the derivative of g(s) wrt s?
12*s
Let k = 1 - -3. Find the second derivative of -q**4 + 2*q**k - 8*q + 3*q**4 - q**4 wrt q.
36*q**2
Suppose -4*y + 2*j = -5*y - 1, y - 11 = 2*j. Suppose 15 = -0*b + 3*b. What is the third derivative of 3*z**5 + 2*z**b - z**2 - 3*z**y wrt z?
120*z**2
Let x(z) be the first derivative of z**6/120 + 5*z**3/6 - z**2 + 4. Let p(d) be the second derivative of x(d). Find the first derivative of p(a) wrt a.
3*a**2
Suppose l = -2*v + 8, 3*v + 2*l - 17 = -2*l. Find the second derivative of -5*j**2 - 2*j - 2*j + v*j**2 - 2*j**2 wrt j.
-8
Let s(k) be the third derivative of -k**6/15 - k**5/20 - 59*k**4/24 + 2*k**2 + 33*k. Find the second derivative of s(u) wrt u.
-48*u - 6
Let y be 1 - (-2 - (2 - 1)). Suppose -y*z + 29 = 3*o - 9*z, 0 = -5*z - 20. What is the second derivative of u + 4*u**2 + u**o - 4*u**2 wrt u?
6*u
Let n(z) be the second derivative of -10*z**7/21 + 13*z**3/6 - 14*z. Find the second derivative of n(s) wrt s.
-400*s**3
Let r(n) be the third derivative of n**6/15 + 2*n**3/3 - 5*n**2. What is the derivative of r(y) wrt y?
24*y**2
Let g(m) = -m**2 + 7*m + 9. Let f be g(9). Let u = -3 - f. Find the third derivative of -r**u + 5*r**2 - 2*r**2 - 4*r**2 wrt r.
-120*r**3
Let o be (16/(2/1))/2. Let m be (-3 + 5)*10/o. What is the third derivative of -3*i**3 - 2*i**3 + 2*i**3 + m*i**3 + i**2 wrt i?
12
Suppose v - 26 = -2*v + 4*o, 0 = 5*v - 5*o - 35. Suppose v*a = a + 2. What is the derivative of -5 + 4 + 3 - 2*r**a wrt r?
-4*r
Let n(q) be the third derivative of q**4/12 + 2*q**3/3 - 7*q**2. What is the derivative of n(a) wrt a?
2
Let b(j) be the second derivative of 0*j**2 + 0 - 1/2*j**3 + 0*j**4 - 3/20*j**5 - j. What is the second derivative of b(k) wrt k?
-18*k
What is the third derivative of 2*h**6 - 8*h**2 - 4*h**6 + 13*h**6 wrt h?
1320*h**3
Suppose 0*h + 4*h = 28. Differentiate 6 + 7*r**3 - h*r**3 + 5*r**4 with respect to r.
20*r**3
Let t(a) be the third derivative of -13*a**8/336 - 13*a**5/60 + 10*a**2. Find the third derivative of t(g) wrt g.
-780*g**2
What is the first derivative of -23*d**3 + 5*d**2 + 30*d**3 - 5*d**2 - 10 wrt d?
21*d**2
Let f be 7/4 + (14/(-8) - -2). Let l(w) be the first derivative of -1/2*w**4 + 1/3*w**3 + 0*w + 0*w**f + 2. Find the third derivative of l(j) wrt j.
-12
Let n(o) = 175*o**3 - 15*o - 55. Let k(b) = -25*b**3 + 2*b + 8. Let s(u) = 15*k(u) + 2*n(u). What is the derivative of s(z) wrt z?
-75*z**2
Let c(s) be the second derivative of s**7/2520 + s**5/40 - s**4/6 - 2*s. Let f(y) be the third derivative of c(y). What is the first derivative of f(m) wrt m?
2*m
Let z(k) = -15*k**4 + 8*k - 12. Let w(n) = -5*n**4 + 3*n - 4. Let y(m) = 8*w(m) - 3*z(m). What is the derivative of y(d) wrt d?
20*d**3
Let y = 0 - -2. Suppose -y*h - 2*z - 4 = h, -h + 2*z = -12. Find the third derivative of -5*m**2 + m**h - m**3 + 5*m**2 wrt m.
-6
What is the third derivative of -5*i**2 + 6*i**3 + 13*i**2 - 21*i**3 + 10*i**3 wrt i?
-30
Let q(s) be the second derivative of -s**10/1680 + s**6/180 - s**3/3 + 2*s. Let z(f) be the second derivative of q(f). Find the third derivative of z(k) wrt k.
-360*k**3
Let m(h) = 6*h**2 - 2*h. Let q be m(-2). Let r be ((-21)/q)/(2/(-8)). What is the first derivative of -7*z**4 + 2 + 3*z**4 + 2*z**3 - 2*z**r wrt z?
-16*z**3
Let p(z) be the second derivative of z**6/30 + 2*z**3/3 - 7*z. Find the second derivative of p(y) wrt y.
12*y**2
Let k(t) be the first derivative of -t**7/840 - t**4/8 - t**3 + 1. Let d(v) be the third derivative of k(v). What is the first derivative of d(h) wrt h?
-3*h**2
Let t(v) be the second derivative of 0*v**2 + 0 + 1/10*v**6 + 0*v**5 + 0*v**3 + 3*v - 1/4*v**4. What is the third derivative of t(u) wrt u?
72*u
Let k(i) = -2*i**4 + 6*i**3 - 7*i**2 - 6*i + 6. Let u(n) = -n**3 + n - 1. Let x(b) = k(b) + 6*u(b). What is the third derivative of x(h) wrt h?
-48*h
Let k(h) = 4*h + 1. Let g be k(2). Let o = -6 + g. What is the second derivative of -4*c + 3*c**2 + o*c + 4*c wrt c?
6
Let s = -6 - -9. Let u be s + 1 + -1 + 0. What is the derivative of 0*m - 4*m + u + m wrt m?
-3
Let p(k) = k - 3. Let c(x) = -8*x + 9. Let q(w) = -w + 1. Let b(n) = c(n) - 6*q(n). Let o(t) = 4*b(t) + 5*p(t). Find the first derivative of o(h) wrt h.
-3
Let h(v) = -v. Let k be h(-5). What is the second derivative of 0*b + 6*b**5 - 3*b - 3*b**k wrt b?
60*b**3
Let c(z) be the first derivative of -7 - 1/4*z**4 + 0*z + 7/3*z**3 + 0*z**2. Find the third derivative of c(a) wrt a.
-6
Let g(w) = -w**5 - w - 1. Suppose 2*r = -2*r + 20. Let i(z) = -2*z**5 - 8*z - 5. Let a(b) = r*g(b) - i(b). Find the second derivative of a(u) wrt u.
-60*u**3
Let z(g) be the second derivative of g**4/6 + 6*g**2 + 4*g. What is the derivative of z(t) wrt t?
4*t
Let u(v) = -v**3 - 6*v. Let s(d) = -2*d**3 - 7*d. Let i be (6/(-5))/(4/10). Let l(j) = i*s(j) + 4*u(j). What is the second derivative of l(w) wrt w?
12*w
Let b(z) be the third derivative of -13*z**5/60 + 19*z**4/24 - 10*z**2. What is the second derivative of b(f) wrt f?
-26
Let o = -4 + 9. Find the third derivative of -k**5 + 20*k**2 - 3*k**o - 18*k**2 wrt k.
-240*k**2
Find the second derivative of -7*q**5 - 21*q**5 + 62*q**5 + 2*q - 16*q**5 + 2 wrt q.
360*q**3
Let h(o) be the third derivative of 5*o**8/112 - 13*o**4/24 + 14*o**2. What is the second derivative of h(z) wrt z?
300*z**3
Let p(k) = k**3 - k**2 + 1. Let n = -3 + 6. Let i(y) = -8*y**3 + 7*y**2 - 8. Let m(t) = n*i(t) + 21*p(t). What is the first derivative of m(f) wrt f?
-9*f**2
Let w(p) = -4*p**3 - 2*p**2 - 2*p - 1. Let t be w(-1). Let v = 0 + t. What is the second derivative of -x + 0*x + 3*x - 2*x**v wrt x?
-12*x
Let c(a) be the third derivative of -a**7/35 + 7*a**4/24 + 6*a**2. Find the second derivative of c(r) wrt r.
-72*r**2
Let o(f) = -5*f**2 - 2*f - 1. Let m(w) = -40*w**2 - 17*w - 7. Let z(t) = -6*m(t) + 51*o(t). Find the first derivative of z(i) wrt i.
-30*i
Find the second derivative of -61*h**4 + 61
|
{
"pile_set_name": "DM Mathematics"
}
|
M?
8:07 PM
What is 709 minutes before 4:11 PM?
4:22 AM
How many minutes are there between 11:21 AM and 6:33 PM?
432
What is 265 minutes after 3:06 PM?
7:31 PM
What is 706 minutes before 3:25 PM?
3:39 AM
How many minutes are there between 3:07 PM and 9:02 PM?
355
What is 77 minutes after 10:47 AM?
12:04 PM
How many minutes are there between 6:45 PM and 10:57 PM?
252
What is 564 minutes before 12:48 PM?
3:24 AM
How many minutes are there between 1:48 PM and 8:02 PM?
374
What is 688 minutes before 5:43 PM?
6:15 AM
What is 399 minutes after 8:56 AM?
3:35 PM
How many minutes are there between 3:06 PM and 5:57 PM?
171
How many minutes are there between 6:14 AM and 8:31 AM?
137
What is 104 minutes before 3:13 PM?
1:29 PM
How many minutes are there between 9:36 PM and 4:59 AM?
443
What is 170 minutes after 12:38 PM?
3:28 PM
What is 611 minutes before 1:45 AM?
3:34 PM
How many minutes are there between 12:10 AM and 7:36 AM?
446
How many minutes are there between 11:53 PM and 10:04 AM?
611
How many minutes are there between 9:42 PM and 5:47 AM?
485
What is 589 minutes after 1:23 PM?
11:12 PM
How many minutes are there between 10:46 AM and 7:20 PM?
514
How many minutes are there between 7:14 PM and 5:13 AM?
599
What is 661 minutes before 11:32 AM?
12:31 AM
How many minutes are there between 3:20 AM and 10:10 AM?
410
What is 682 minutes after 12:53 PM?
12:15 AM
How many minutes are there between 7:39 PM and 11:45 PM?
246
How many minutes are there between 4:13 PM and 12:59 AM?
526
How many minutes are there between 7:33 AM and 7:45 AM?
12
What is 406 minutes before 4:33 PM?
9:47 AM
What is 331 minutes before 2:33 PM?
9:02 AM
How many minutes are there between 9:09 AM and 2:12 PM?
303
How many minutes are there between 2:47 PM and 5:37 PM?
170
How many minutes are there between 6:42 AM and 6:52 AM?
10
How many minutes are there between 6:42 PM and 2:44 AM?
482
How many minutes are there between 1:16 PM and 3:16 PM?
120
How many minutes are there between 10:57 AM and 7:43 PM?
526
What is 246 minutes before 10:53 PM?
6:47 PM
What is 90 minutes after 4:21 AM?
5:51 AM
What is 444 minutes before 3:48 AM?
8:24 PM
How many minutes are there between 5:27 PM and 10:13 PM?
286
How many minutes are there between 4:38 PM and 10:09 PM?
331
How many minutes are there between 11:37 AM and 7:19 PM?
462
What is 270 minutes before 12:37 AM?
8:07 PM
How many minutes are there between 4:38 PM and 6:46 PM?
128
What is 688 minutes after 3:25 PM?
2:53 AM
How many minutes are there between 11:37 AM and 11:06 PM?
689
What is 419 minutes after 1:32 AM?
8:31 AM
What is 90 minutes after 5:10 PM?
6:40 PM
What is 202 minutes before 12:51 AM?
9:29 PM
What is 572 minutes after 7:56 AM?
5:28 PM
What is 704 minutes before 1:41 PM?
1:57 AM
What is 704 minutes before 2:52 AM?
3:08 PM
How many minutes are there between 10:56 AM and 8:32 PM?
576
How many minutes are there between 10:20 AM and 6:43 PM?
503
What is 661 minutes after 1:51 PM?
12:52 AM
What is 318 minutes before 4:36 PM?
11:18 AM
How many minutes are there between 1:38 AM and 3:54 AM?
136
How many minutes are there between 6:10 AM and 12:38 PM?
388
How many minutes are there between 10:58 PM and 6:26 AM?
448
What is 697 minutes after 9:23 PM?
9:00 AM
How many minutes are there between 12:28 PM and 10:11 PM?
583
How many minutes are there between 12:25 PM and 3:10 PM?
165
How many minutes are there between 6:11 AM and 8:47 AM?
156
How many minutes are there between 6:35 AM and 8:11 AM?
96
What is 691 minutes before 10:39 AM?
11:08 PM
How many minutes are there between 5:57 PM and 6:38 PM?
41
What is 155 minutes before 9:04 PM?
6:29 PM
What is 149 minutes after 9:21 PM?
11:50 PM
What is 279 minutes before 7:12 AM?
2:33 AM
How many minutes are there between 1:58 AM and 10:57 AM?
539
What is 286 minutes after 7:04 AM?
11:50 AM
How many minutes are there between 7:11 AM and 10:40 AM?
209
How many minutes are there between 10:50 AM and 1:55 PM?
185
How many minutes are there between 8:49 AM and 6:31 PM?
582
How many minutes are there between 7:11 AM and 9:40 AM?
149
How many minutes are there between 8:32 AM and 10:23 AM?
111
How many minutes are there between 9:41 PM and 7:05 AM?
564
What is 660 minutes before 8:43 PM?
9:43 AM
What is 676 minutes before 5:31 PM?
6:15 AM
What is 39 minutes after 12:49 AM?
1:28 AM
What is 159 minutes before 8:14 PM?
5:35 PM
How many minutes are there between 4:47 AM and 7:40 AM?
173
What is 558 minutes after 5:01 PM?
2:19 AM
How many minutes are there between 12:06 AM and 1:15 AM?
69
How many minutes are there between 10:23 PM and 5:35 AM?
432
What is 194 minutes after 11:54 AM?
3:08 PM
How many minutes are there between 7:34 AM and 10:10 AM?
156
How many minutes are there between 3:01 AM and 5:17 AM?
136
What is 661 minutes after 1:51 PM?
12:52 AM
What is 560 minutes after 5:59 PM?
3:19 AM
How many minutes are there between 4:46 PM and 8:15 PM?
209
What is 680 minutes after 12:51 AM?
12:11 PM
What is 40 minutes before 7:32 PM?
6:52 PM
How many minutes are there between 12:37 PM and 10:57 PM?
620
How many minutes are there between 1:57 AM and 4:07 AM?
130
What is 692 minutes before 11:44 AM?
12:12 AM
How many minutes are there between 2:53 PM and 9:32 PM?
399
What is 525 minutes before 9:18 PM?
12:33 PM
What is 677 minutes before 3:01 PM?
3:44 AM
How many minutes are there between 2:38 PM and 6:02 PM?
204
How many minutes are there between 10:13 PM and 2:17 AM?
244
What is 110 minutes before 2:44 AM?
12:54 AM
How many minutes are there between 8:30 AM and 12:36 PM?
246
How many minutes are there between 8:58 AM and 12:58 PM?
240
How many minutes are there between 7:09 PM and 5:34 AM?
625
What is 400 minutes before 12:49 AM?
6:09 PM
How many minutes are there between 12:47 AM and 5:42 AM?
295
What is 371 minutes before 9:36 PM?
3:25 PM
How many minutes are there between 8:13 PM and 7:08 AM?
655
What is 274 minutes after 2:48 AM?
7:22 AM
What is 135 minutes before 7:03 AM?
4:48 AM
What is 583 minutes after 9:29 PM?
7:12 AM
How many minutes are there between 1:46 PM and 8:28 PM?
402
What is 643 minutes after 7:22 AM?
6:05 PM
How many minutes are there between 6:38 AM and 4:27 PM?
589
What is 142 minutes before 1:44 AM?
11:22 PM
What is 421 minutes after 7:35 AM?
2:36 PM
What is 373 minutes before 6:12 AM?
11:59 PM
How many minutes are there between 10:44 PM and 6:44 AM?
480
How many minutes are there between 12:21 AM and 11:33 AM?
672
How many minutes are there between 9:08 AM and 2:33 PM?
325
What is 677 minutes after 2:59 AM?
2:16 PM
How many minutes are there between 11:09 AM and 1:49 PM?
160
What is 111 minutes before 12:50 PM?
10:59 AM
What is 298 minutes after 9:52 PM?
2:50 AM
What is 657 minutes after 7:20 AM?
6:17 PM
What is 359 minutes before 8:18 PM?
2:19 PM
What is 530 minutes before 7:50 PM?
11:00 AM
What is 586 minutes before 4:11 AM?
6:25 PM
How many minutes are there between 5:49 PM and 1:28 AM?
459
What is 171 minutes after 6:00 AM?
8:51 AM
What is 305 minutes before 5:59 PM?
12:54 PM
What is 318 minutes before 12:21 AM?
7:03 PM
What is 454 minutes after 1:43 AM?
9:17 AM
How many minutes are there between 11:50 AM and 11:22 PM?
692
What is 327 minutes before 5:16 AM?
11:49 PM
What is 4 minutes before 5:50 PM?
5:46 PM
What is 111 minutes after 1:47 AM?
3:38 AM
How many minutes are there between 4:16 AM and 10:01 AM?
345
What is 286 minutes after 8:50 PM?
1:36 AM
How many minutes are there between 6:12 AM and 8:58 AM?
166
How many minutes are there between 8:48 AM and 8:31 PM?
703
How many minutes are there between 1:40 AM and 4:08 AM?
148
What is 4 minutes before 5:23 AM?
5:19 AM
What is 327 minutes before 1:48 PM?
8:21 AM
How many minutes are there between 10:38 PM and 10:40 PM?
2
What is 323 minutes before 12:04 PM?
6:41 AM
What is 616 minutes before 7:15 AM?
8:59 PM
What is 641 minutes after 11:01 PM?
9:42 AM
What is 367 minutes before 12:57 PM?
6:50 AM
How many minutes are there between 10:06 PM and 5:49 AM?
463
What is 277 minutes after 6:02 PM?
10:39 PM
How many minutes are there between 11:00 PM and 8:48 AM?
588
How many minutes are there between 9:03 PM and 3:09 AM?
366
How many minutes are there between 11:48 AM and 9:32 PM?
584
How many minutes are there between 5:16 PM and 7:2
|
{
"pile_set_name": "DM Mathematics"
}
|
h is positive.
h**(2/3)
Simplify ((z/(z**17*z))/(z/(z**(-1/4)*z)))/(z**(3/19)*z**33) assuming z is positive.
z**(-3831/76)
Simplify ((o**(2/11)*o**(-5))/(o**(1/2)*o**(-2)*o))/(((o*o*o/(o*o/o**1)*o)/o)**2/(o/(((o/o**1)/o)/o))**19) assuming o is positive.
o**(1071/22)
Simplify ((y**(1/8)/y**4)/(y**(3/8)*y**0/y))/(y**7*y**3*(y**(-2/3))**(-1/4)) assuming y is positive.
y**(-161/12)
Simplify (l/l**(4/9))/(l**0*l*l)*l**(-6)/(l/l**(-2/7))*(l**(-4)*l**(-1))**(4/21) assuming l is positive.
l**(-610/63)
Simplify (o**(-1))**3/((o/o**(1/2)*o)/o**(1/4))*o*o**(-8)*o**4*o**(-1/7)/o*o*o/(o/(o/((o*o*o/o**(1/5)*o*o)/o))) assuming o is positive.
o**(-1427/140)
Simplify ((z/(z*(z**(-1)/z*z)/z*z))/(z**7/z))**(-1/7)/(z**(2/7)/z**(-2/5))**(3/7) assuming z is positive.
z**(103/245)
Simplify ((z*z/(z**(10/9)/z)*z*z*z/z**(-2/3))/(z**27*z**(-21)))**15 assuming z is positive.
z**(-20/3)
Simplify ((f**7*f*f*f**(-2/35)*f*f)/(f/(f/(f*f/(f*f**(1/27)))*f)*f/(f*((f/f**(-12))/f)/f*f)))**(-36) assuming f is positive.
f**(-86864/105)
Simplify ((o**(2/15)/(o*o**5))/(o*o**(2/11)*o)**(-37))**(18/11) assuming o is positive.
o**(74112/605)
Simplify (b/b**(-4)*b*b*b*b**7)**(4/15)/((b**7*(b/(b*b/((b**4*b)/b)))/b)/(b**(1/10)*b*b**(1/7)*b)) assuming b is positive.
b**(-193/70)
Simplify ((y/(y/((y**0*y)/y)))**(-21))**(-1/3)*(y*y*y**(-2)*y**(-7/4))/(y*((y*y**2)/y)/y)**(9/4) assuming y is positive.
y**(-25/4)
Simplify c**(7/3)/(c*c/(c/(c/(c**(2/47)*c))))*c**(-5)*c*(c/c**(-31))/c assuming c is positive.
c**(4001/141)
Simplify ((d/((d/d**(-1/5))/d*d))/((d*d/((d/((d*d**(1/2)*d*d)/d))/d*d))/d))**(-36)*(((d*d**(-2/5)/d*d)/d)**3)**(-2/93) assuming d is positive.
d**(3014/31)
Simplify (c/(c**(6/5)*c))**38/(c**14)**(7/3) assuming c is positive.
c**(-1174/15)
Simplify ((y**(-2)*y**(-1))/(y/y**(-1/2))**16)/((y/y**(-6/7))/y*y*y*y**5)**(-16) assuming y is positive.
y**(691/7)
Simplify ((z**0*z)**(1/2)/(z**4*z*z**0))/((z/(z**0*z)*z)**(-4/19)*z**(-2)*z**(-3)*z) assuming z is positive.
z**(-11/38)
Simplify ((x**0*x)**(1/64)*(x**1)**8)/(x*x/(x*x/(x**(-2)/x))*((x*x**(1/3))/x)/x)**(-4/7) assuming x is positive.
x**(7957/1344)
Simplify (((h/(h*h/(h*h**0*h*h)))**11/((h**(4/11)/h*h)/h*(h**3*h)/h*h))**(4/21))**(-7/3) assuming h is positive.
h**(-820/99)
Simplify (i/i**(2/27)*i/(i/i**(2/5)))**(1/31)/(i**(1/9)*i**(-9)*i*((i**(2/13)/i*i*i)/i)/(i/i**(-5))) assuming i is positive.
i**(749582/54405)
Simplify ((i/(i/(i/(i/(i/i**(-3)))*i*i)))/(i*i**(2/11)))/((i/(i/(i*i**(3/7))))/i**(-7))*(i**(-2/19)*(i*i*i**(-6))/i*i)/(i/i**(-2/3))**17 assuming i is positive.
i**(-158219/4389)
Simplify (((t/t**3*t*t)/t**6)/(t**(-1/22)/((t**(-5/4)*t)/t)))**(-16/11) assuming t is positive.
t**(1268/121)
Simplify (t**16*t/(t/t**(-6))*t**(-15)*t**0/t)**(-22) assuming t is positive.
t**132
Simplify (c/(c*c*c**(-2/3)/c*c)*(c**0*c)/c*c**(-1/3)/(c*c**(-1)))**(-2/49) assuming c is positive.
c**(4/147)
Simplify (r**0)**(4/17)/(r**(-1/4)*r/(r/(r*r**(-2)/r)*r))*(((r*r**(-1/4)/r*r)/r)**(-4/15))**(11/4) assuming r is positive.
r**(103/30)
Simplify (z/(z*z**(3/10)))**(13/4)*z**(-6)*z**(-11/2)*z assuming z is positive.
z**(-459/40)
Simplify ((t/t**(-6))/(t/t**(-2/11)))**15*(t**3/(t*(t*t*t**(-4))/t*t))/(t**0*t*t/(t**3/t)*t) assuming t is positive.
t**(993/11)
Simplify ((q/q**(-11)*q**(-24))/(q**(-1/10))**(-25))**(-1/26) assuming q is positive.
q**(29/52)
Simplify ((x**(-2)/x**3)/((x*((x**6*x)/x)/x)/(x**(2/5)/x*x)))/(x**(3/10)*x**(1/11)*x*x/x**(-1/4)*x*x*x/((x/(x**(-9)/x))/x)) assuming x is positive.
x**(-1373/220)
Simplify (i*i**0)**(-9/4)*(i/((i**1/i)/i))**47*((i*i**2)/i**(-1))/(i**(1/3)/i*i**(1/9)) assuming i is positive.
i**(3467/36)
Simplify (g*(g/(g*g**0*g))/g*g)**(-1)/(g**(-2)/(g*g**(3/4)))*(g**7/g**(-6))**(1/5) assuming g is positive.
g**(127/20)
Simplify ((z/((z*z**(2/13)/z)/z))/z**(2/7))**(-1/13)/(z**(-2/5)*z/z**(-1/7))**(-7/2) assuming z is positive.
z**(14669/5915)
Simplify ((q**(-2/17)/(q**(-1/2)*q))/(q**(1/3)/(q*q**(1/7))))/(q**(-5)*q/q**8*q*q**(-2/9)/((q*(q*q**6*q)/q)/q)) assuming q is positive.
q**(39443/2142)
Simplify (((h/(h*h**4))/h**(-1/6))/(h**(-2/5)*h**(-2/3)))/(h**(2/19)/(h*h/(((h/(h*h**(-2/7)*h))/h)/h)))**(-1/21) assuming h is positive.
h**(-27801/9310)
Simplify (j*j/(j*j/j**(-5))*j*j*j/(((j*j**(-4))/j*j)/j))**41*j**1/(j**2*j)*(j**(1/4))**(5/2) assuming j is positive.
j**(645/8)
Simplify ((s*s**33)**19*s**(-37)*s/s**(-1/25))**(1/53) assuming s is positive.
s**(15251/1325)
Simplify (b**(-1/3)*(b/b**(-8)*b)/b*(b*b/(((b*b*b/b**0)/b)/b))**(1/8))/(b*b**(1/9)*b*b*b*b*b**(-6)*b*b*b/(b**1/b)*b**1) assuming b is positive.
b**(409/72)
Simplify ((b*b/b**(-10)*b)/(b/((b/b**23*b)/b)))/(b**32*b**(14/13)) assuming b is positive.
b**(-560/13)
Simplify ((d**(1/39)*(d/(d/(d*d**(-6/5)*d)))/d*d)/(((d/(d**(1/2)*d))/d)/(d/d**22*d)))**(19/3) assuming d is positive.
d**(-130967/1170)
Simplify (d/d**(-1/13))**(5/11)*(d**(10/3)/d)/d*d/((d**(-3)/d)/d) assuming d is positive.
d**(3356/429)
Simplify (a/((a*a*a**(-11))/a))/a**(9/5)*(a*a**15*a)/a*a*a**(2/11) assuming a is positive.
a**(1451/55)
Simplify (q*q**2)/q**(-7)*(q*q*(((q/(q*q/(q**(1/3)*q)*q))/q)/q)/q*q)/q*q*q*q**3*(q/q**(-2/19))/(q**2/q)*(q*q*q*q**(-1)*q)**(-2/63) assuming q is positive.
q**(5324/399)
Simplify (((i*i**(-42))/(i*i/(i**(-9)*i)*i))**(-4/5))**(-5/3) assuming i is positive.
i**(-208/3)
Simplify ((q/(q**(-1/4)/q)*q)**(16/7))**(-2/13)*(q**(-4/3)/(q*q/q**(-2/7)))**(-3/4) assuming q is positive.
q**(11/7)
Simplify (((((y**3*y)/y)/y)/y*y**(-2/3)*y**6/(y*y/(y*y**4/y)))**(2/29))**(-1/3) assuming y is positive.
y**(-50/261)
Simplify (f**(-5)/(f**(-1/5)*f)*((f**1*f)/f)**10)/((f*f**(-2/7)/f)**(4/9))**(-23) assuming f is positive.
f**(403/315)
Simplify (g**(1/61)*g*g**(-4/27)*g*g**(-2/43)/g*g**(2/59)*g*g)**23 assuming g is positive.
g**(274437932/4178439)
Simplify ((m**28*m)/m**11)/(m**(-7/2)/(m/(m**(-14)*m))) assuming m is positive.
m**(71/2)
Simplify (v**1*v)**28/((v**0*v)/v)**(5/11)*(v**(-1)*v)**2/(v**(-2)*v/(v**(-3)/v*v)*v) assuming v is positive.
v**53
Simplify (n/n**(3/5)*n**1)/(n*n*n**(-4/5)*n/n**(-3/11))*((n**(-3)/n)/n**(-4/11))**(-50) assuming n is positive.
n**(9941/55)
Simplify (((r*r**1)/r*r*r/(r*r/r**5*r))/(r*r**1*r*r)**39)/(r**(-3)/r*r**(-4))**26 assuming r is positive.
r**57
Simplify (m/(m*m**9)*m/(m*m**(4/13))*(m**(2/5))**(3/2))**(-1/3) assuming m is positive.
m**(566/195)
Simplify ((p*p/(p/p**(-26))*p/p**(-47))/((p/p**(-1/4))/p)**(6/11))**(-1) assuming p is positive.
p**(-503/22)
Simplify (o/(o*o*o**(2/3)/o*o))**(-1/12)/(o**(-2/5)*o**(-2))*(o/(o*o/(o/o**0)*o))**(-7/3)/(o**(-2/5)/(o*o/(o*o/((o**(1/2)*o)/o)*o*o))) assuming o is positive.
o**(679/180)
Simplify ((c**(3/11)*(c/((c**10/c)/c*c))/c)/(c*c/c**(-3/10))**4)**(5/7) assuming c is positive.
c**(-986/77)
Simplify (d**(-2/3)/(d*d*d**(-1/2)))**(2/21)/(d**(-2/11)/d**(-2/11))**(-22) assuming d is positive.
d**(-13/63)
Simplify ((p*p**22)**(-20)/((((p/(p**(-32)/p))/p)/p)/p**(2/17)))**(-9) assuming p is positive.
p**(75258/17)
Simplify ((a**(-2/7)/(a/(a**(1/8)*a)))/(a**(-1))**(1/17))/(a**5/(a/(a/(a**4*a)))*(((a*a**(2/7))/a*a)/a*a)/a*a/(a*a/(a**(1/6)/a)*a*a)) assuming a is positive.
a**(9841/2856)
Simplify (z**35/((z/(z*(z**(38/5)*z)/z*z))/z))/(z/(z/z**(-2/129)))**(1/35) assuming z is positive.
z**(201371/4515)
Simplify ((p**(-2/7))**33/(p**(-3/4)*p*p*p**4))/(((p**6*p)/p)/p**(2/3))**(1/7) assuming p is positive.
p**(-1297/84)
Simplify ((((j*j/(j/(j/((j**(-3/4)/j)/j*j)*j*j*j)*j))/j**(-1/8))/(j**0)**(-36))**(-34))**(-2/43) assuming j is positive.
j**(799/86)
Simplify ((((j/j**(-3/8))/(j/(j/((j/(j/((j*j**1*j)/j)))/j))*j))/(j/(j*j/(j/(j*(j**0*j)/j)*j)*j))**(-20))**(-7))**50 assuming j is positive.
j**(28875/4)
Simplify (i**(2/5))**(-28/3)*(i*i**(-6))/(i**(2/13)/i*i*i)*((i*i*i**(-2/9))/(i**(-3)/i))**(4/7) assuming i is positive.
i**(-26968/4095)
Simplify ((b**(1/2)/b**1)/(b**(-2/13)/b**(-1/8)))/((((b*(b/b**(-1))/b)/b)/b)**41*(b*b**(-2/5)*b*b)**(-28/3)) assuming b is positive.
b**(37121/1560)
Simplify i/i**(-2)*i/((i**(-7)/i)/i)*(((i**(-1/2)*i)/i)/i)**(-14/5)*((i**(-1))**(1/6))**(-8) assuming i is positive.
i**(278/15)
Simplify ((q**1)**21/((q*q/q**(-2/5))/(q*q/(q*q**(-1/5)))))/((q*q**(-6)*q)/((q*q*q**1)/q))**(2/5) assuming q is positive.
q**(111/5)
Simplify (((((p/((p*p**(4/3))/p))/p*p)/p)/(p/(p*((p**20/p)/p)/p*p)))/((p*p**(2/17))/(p/p**(5/
|
{
"pile_set_name": "DM Mathematics"
}
|
9. Let f be (4/150*z)/((-16)/(-480)). Solve f*a + 3/5*a**3 + 12/5*a**2 + 0 = 0 for a.
-2, 0
Factor -3 + 28*q**2 - 7 + 6*q - 46*q**3 + 0 + 10 + 12*q**4.
2*q*(q - 3)*(q - 1)*(6*q + 1)
Find b such that 158/13*b**2 - 184/13*b - 14/13*b**3 + 40/13 = 0.
2/7, 1, 10
Let j be ((-4)/5)/2*582/(-388). Determine h, given that -6/5*h**4 + 3/5*h**5 + j*h**3 + 0*h**2 + 0 + 0*h = 0.
0, 1
Let d(o) be the first derivative of 1/4*o + 3/2*o**2 + 15/4*o**4 + 23/6*o**3 - 8 + 5/4*o**5. Find k, given that d(k) = 0.
-1, -1/5
Let q(h) = 3*h**2 - 9*h + 3. Let a be q(3). Suppose -5*z**4 - 116*z + 10*z**2 - 5*z**a + 116*z = 0. Calculate z.
-2, 0, 1
Let z be (-114)/(-36) + 2/(-12). What is q in 20 + 20*q - 3*q**3 - 6*q**3 - 3*q**z - 15*q**2 - 5*q**4 - 8*q**3 = 0?
-2, -1, 1
Let y(l) be the third derivative of l**7/7560 - l**6/720 + l**5/180 + 2*l**4/3 + 5*l**2. Let f(b) be the second derivative of y(b). Let f(o) = 0. Calculate o.
1, 2
Let x(r) be the first derivative of 7*r**6/54 - 26*r**5/45 - 113*r**4/36 + 32*r**3/9 + 2*r**2 - 290. Solve x(d) = 0 for d.
-3, -2/7, 0, 1, 6
Factor -14*i**2 - 5*i**2 - 3*i**3 - 6*i**2 + 54*i - 12*i**3 - 15 + i.
-5*(i - 1)*(i + 3)*(3*i - 1)
What is s in 4/5*s**2 - 64/5 + 24/5*s = 0?
-8, 2
Let y(d) be the first derivative of -4*d**5/5 - 8*d**4 - 24*d**3 + 108*d + 61. Factor y(h).
-4*(h - 1)*(h + 3)**3
Suppose -2*k - 2 = 0, 0 = -3*c - 0*c + 3*k + 9. Factor -32*d + 40 - 18*d - 13*d**2 - 2*d**c.
-5*(d + 4)*(3*d - 2)
Let p(l) = 16*l**3 - 86*l**2 + 50*l + 14. Let c(q) = 32*q**3 - 173*q**2 + 101*q + 29. Let r(b) = 6*c(b) - 11*p(b). Determine g, given that r(g) = 0.
-1/4, 1, 5
Let f = 4255 - 63817/15. Factor -2/15*c**2 - f + 8/15*c.
-2*(c - 2)**2/15
Find a such that -24 - a**4 - 4*a**4 + 9*a**2 + 30*a - 12*a**3 + 2*a**4 = 0.
-4, -2, 1
Let j(v) be the second derivative of -v**6/30 - 3*v**5/10 - 3*v**4/4 - 57*v. Factor j(m).
-m**2*(m + 3)**2
Let p(z) be the first derivative of -z**4/22 - 8*z**3/11 - 27*z**2/11 + 1. Factor p(k).
-2*k*(k + 3)*(k + 9)/11
Determine y so that 1504*y**4 + 96*y - 285*y**2 + 183*y**3 - 748*y**4 - 750*y**4 = 0.
-32, 0, 1/2, 1
Let f be (9 + (-1526)/168)*-104. Find x, given that -10*x**3 + 4/3*x + 0 + f*x**2 = 0.
-2/15, 0, 1
Suppose 22*o = 14*o. Let x(h) be the third derivative of -2/9*h**4 + 0 - 1/18*h**5 + 7*h**2 + o*h - 4/9*h**3 - 1/180*h**6. Factor x(k).
-2*(k + 1)*(k + 2)**2/3
Suppose 100*r**4 + 10*r**5 + 12*r + 11*r**5 - 33*r**3 + 36*r**2 - 136*r**4 = 0. Calculate r.
-1, -2/7, 0, 1, 2
Determine n so that -34*n + 25*n**3 + 96*n**2 + 4*n**4 + 26*n**3 - 15*n**3 + 114*n = 0.
-5, -2, 0
Factor 0*j**2 - 136*j - 423 - 6*j**2 + 2*j**2 - 733.
-4*(j + 17)**2
Let s = 9 + -21. Let h(q) = 0*q - 12 + 28*q**2 + 10*q - 6*q**2. Let p(v) = 9*v**2 + 4*v - 5. Let w(u) = s*p(u) + 5*h(u). Find m such that w(m) = 0.
-1, 0
Let q = 1489/42 + -211/6. Factor 0 - 2/7*f**3 + 0*f + 2/7*f**2 - q*f**4 + 2/7*f**5.
2*f**2*(f - 1)**2*(f + 1)/7
Let v be (4/20*15)/(2/108). Let w = v - 160. Determine d, given that -8/7*d**w + 10/7*d - 2/7 = 0.
1/4, 1
Suppose -25*r + 52*r = 54. Factor 0 + 0*i - 5*i**r - 5/2*i**3 + 5/2*i**4.
5*i**2*(i - 2)*(i + 1)/2
Let y(b) be the first derivative of 1/16*b**4 + 2 - 1/6*b**3 - 1/8*b**2 + 1/2*b. Determine l, given that y(l) = 0.
-1, 1, 2
Suppose 11*d - 6*d = d. Let t(j) be the first derivative of -4/5*j**5 - 7 + 2*j**4 + 4*j - 4*j**2 + d*j**3. Factor t(o).
-4*(o - 1)**3*(o + 1)
Let q(t) be the first derivative of -t**4/54 - 14*t**3/27 - 49*t**2/9 + 41*t + 14. Let m(p) be the first derivative of q(p). Let m(w) = 0. Calculate w.
-7
Let h(o) be the third derivative of o**6/120 - 27*o**5/20 + 729*o**4/8 - 6561*o**3/2 - 6*o**2 - 2*o. Factor h(w).
(w - 27)**3
Suppose 209*i - 187*i = 110. Let m(b) be the third derivative of 0*b + 3/40*b**4 + 0 + 2*b**2 + 1/100*b**i + 0*b**3. Factor m(r).
3*r*(r + 3)/5
Let j be 14/6 - -5*5/15. Let c(r) be the first derivative of -3 + 7/2*r**2 - 1/5*r**5 - 2*r - 3*r**3 + 5/4*r**j. Suppose c(d) = 0. Calculate d.
1, 2
Let n = 230 + -228. Let r(p) be the first derivative of 3 - 1/15*p**3 - 1/5*p**n + 3/5*p. Suppose r(m) = 0. Calculate m.
-3, 1
Let c(r) = 11*r**3 - 12*r**2 - 38*r - 5. Let d(u) = -27*u**3 + 30*u**2 + 96*u + 12. Let o(a) = 12*c(a) + 5*d(a). Factor o(y).
-3*y*(y - 4)*(y + 2)
Let s(u) = -2*u**2 - 5*u. Let z(c) = c**2 + 4*c. Let k = 5 + -2. Let i(b) = k*z(b) + 2*s(b). Factor i(j).
-j*(j - 2)
Suppose j + 4*x = 5, -18 = -5*j - 3*x + 7. Suppose c + j*l = -7, 5*l = -2*c + l - 2. Suppose 0*s + 0 - 2/7*s**2 - 2/7*s**4 - 4/7*s**c = 0. What is s?
-1, 0
Let v be 29/((-47850)/(-407)) - 4/50. Determine l so that -11/6*l**2 + v*l**3 + 4*l + 6 = 0.
-1, 6
Let c = 118/95 + -16/19. Let t be ((-2)/4)/(25/(-20)). Solve c*j**2 + 0 + t*j = 0.
-1, 0
Let r(c) be the second derivative of c**6/720 - c**4/12 + c**3/3 - 7*c. Let g(o) be the second derivative of r(o). Solve g(k) = 0 for k.
-2, 2
Factor -2*u - 76*u**2 - 3*u**3 + 10*u + 72*u**2 - u**3.
-4*u*(u - 1)*(u + 2)
Let l(i) be the first derivative of i**6/150 - i**4/60 + 34*i + 15. Let m(s) be the first derivative of l(s). Factor m(u).
u**2*(u - 1)*(u + 1)/5
Let y(h) be the second derivative of 3 + 1/3*h**4 + 8*h**2 + 9*h + 8/3*h**3. Let y(s) = 0. Calculate s.
-2
Let a(m) be the second derivative of -7*m**7/12 - 91*m**6/20 - 67*m**5/5 - 55*m**4/3 - 12*m**3 - 4*m**2 + 51*m. What is o in a(o) = 0?
-2, -1, -2/7
Let a be (-6)/(-27) + (-70)/(-9). Suppose -n - n + a = 0. What is f in n*f**3 - 6*f**3 + 5*f**4 - 2*f**5 - 2*f**4 + f**4 = 0?
0, 1
Let g(b) = 3*b + 13. Let v(f) = -f - 1. Let i(n) = -g(n) - 6*v(n). Let k be i(3). Determine y, given that 52 - 2*y**k - 8*y**3 + 10*y**2 + 2*y**4 - 52 = 0.
0, 2
Suppose 3 = -5*f + 6*f. Let l = f - -17. Determine o, given that -1 - 3 - l*o**3 - 12*o**2 + 15*o + 16*o**4 + 5*o = 0.
-1, 1/4, 1
Suppose 2*o + 2*r + 6 = 0, -4*o + 5*r + 4 - 34 = 0. Let f be (11 + o)/(4/2). Factor -2 - 2*z**f + 4 + 2*z - 2.
-2*z*(z - 1)*(z + 1)
Let q = 82/11 + -202/33. Let a(f) be the second derivative of 0*f**2 + q*f**4 + 7*f + 2/15*f**6 + 0 + 0*f**3 + 4/5*f**5. What is g in a(g) = 0?
-2, 0
Let -5*h**4 + 156/5*h**2 + 11*h**3 + 16/5 + 92/5*h = 0. Calculate h.
-1, -2/5, 4
Factor 367 - 750 + 399 - 40*j - 28*j + 60*j**2.
4*(3*j - 1)*(5*j - 4)
Let j = 49 - 30. Factor -3*c**3 - 13*c**2 + c**4 + j*c**2 + 3*c**5 - 7*c**4.
3*c**2*(c - 2)*(c - 1)*(c + 1)
Factor 1/4*l**3 + 5/8*l**2 - 3/4*l - 1/8*l**4 + 0.
-l*(l - 3)*(l - 1)*(l + 2)/8
Let u(m) be the first derivative of -m**4/10 + 2*m**3/5 - 2*m**2/5 + 81. Factor u(z).
-2*z*(z - 2)*(z - 1)/5
Factor -d**3 + 3619*d - 3808*d - 130 + 36 - 96*d**2.
-(d + 1)**2*(d + 94)
Let c(t) be the second derivative of -6*t - 1/100*t**5 + 0 + 0*t**2 + 0*t**3 + 1/60*t**4. Determine m, given that c(m) = 0.
0, 1
Factor -42 + 51*f**2 - 48*f - 28 - 42 + 124 - 15*f**3.
-3*(f - 2)*(f - 1)*(5*f - 2)
Let q(z) be the first derivative of 0*z**4 + 0*z + 2/15*z**5 + 37 - 8/3*z**3 + 16/3*z**2. Let q(t) = 0. Calculate t.
-4, 0, 2
Let b(q) be the first derivative of 55 - 4/5*q**5 + 3*q**4 - 30*q**2 - 72*q + 28/3*q**3. Let b(u) = 0. Calculate u.
-2, -1, 3
Let g(y) = 11*y**2 - 45*y + 54. Let f(t) = 3*t**2 + t + 1. Let w(a) = -4*f(a) + g(a). Factor w(v).
-(v - 1)*(v + 50)
Suppose 0 = -2*f + u - 1 + 8, f = 4*u + 14. Factor -o + 2*o + 6*o**f - 4*o - 3*o**3.
-3*o*(o - 1)**2
Suppose 2570 + 580 = 15*f. Let w = -210 + f. Factor -g**3 - 1/2*g**4 + g + 1/2 + w*g**2.
-(g - 1)*(g + 1)**3/2
Let z(l) = -7*l**2 - 12*l - 3. Let c(k) = 13*k**2 + 5*k - 5*k**2 + 8*k + 2. Let t(s) = -2*c(s) - 3*z(s). Solve t(i) = 0.
-1
Factor 142/15*a + 4/15*a**2 + 14/3.
2*(a + 35)*(2*a + 1)/15
Let k(h) = -h**4 + 2*h**4 - 10*h**2 - 3 - 3 + h**2 - 21*h**3 - 5*h. Let i(f) = f**4 - 41*f**3 - 19*f**2 - 10*f - 11. Let t(l) = 6*i(l) - 11*k(l). Factor t(n).
-5*n*(n + 1)**3
Let c(j) be the third derivative of -j**6/40 + 27*j**5/10 - 729*j**4/8 - 6*j**2 - 2. Factor c(k).
-3*k*(k - 27)**2
Let s(c) be the first derivative of 1/13*c**4 + 0*c**2 - 2/13*c - 6/65*c**5 - 2/39*c**6 + 8/39*c**3 + 25. What is v in s(v) = 0?
-1, 1/2, 1
Let w(f) be the first derivative of f**4/8 - 2*f**3/3 - f**2/4 + 2*f + 21. Let w(r) = 0. What is r?
-1, 1, 4
Let w be ((-4)/6)/(15 - 2264/144). Factor 14/13*b - w - 2/13*b**2.
-2*(b - 6)*(b - 1)/13
Let t(u) be the third derivative of 28*u**2 + 0*u**4 + 1/20*u**5 + 0 - 1/32*u**8 +
|
{
"pile_set_name": "DM Mathematics"
}
|
64*r**2
Let o(l) = 2*l - 6. Let u(g) = 2*g - 8. Suppose 92*f = 81*f + 33. Let p(w) = f*u(w) - 4*o(w). Let m(v) = 32*v**2 + 3*v. Calculate m(p(t)).
128*t**2 - 6*t
Let f(t) be the third derivative of t**4/24 - 3*t**2 + 346*t. Let g(q) = q + 18. Determine g(f(v)).
v + 18
Let l(o) = 3216*o**2. Let d(a) be the third derivative of a**4/12 + 14*a**2 + 6*a + 9. What is l(d(f))?
12864*f**2
Let n(f) = 570*f. Let z(u) = 5*u - 7*u - 2*u - 1410 + 1410. Give z(n(g)).
-2280*g
Let g(d) = -36*d - 39*d - 40*d + 150*d - 34*d. Let o(i) = 2*i + 894. Give o(g(y)).
2*y + 894
Let m(j) = j + 0*j + 1 + 1. Let n(i) = -6*i - 15. Let k = 3331 + -3329. Let w(p) = k*n(p) + 15*m(p). Let d(u) = -2*u. Give d(w(o)).
-6*o
Let u(a) = 3*a**2 + 3*a + 3. Let j be u(3). Let i(o) = -56*o + 95*o - j*o - 6*o**2. Let p(r) = 10*r. Calculate p(i(d)).
-60*d**2
Let s(n) = 2*n**2. Let l(m) = -1502355*m. What is s(l(y))?
4514141092050*y**2
Let h(u) = -808*u. Let z(g) = 27*g - 8. Let k(p) = -17*p + 5. Let t(r) = -8*k(r) - 5*z(r). Determine t(h(i)).
-808*i
Let b(g) = -g**2. Let u(n) = -548*n**2 + 4634. Calculate u(b(p)).
-548*p**4 + 4634
Let w(g) = -10049*g + 24. Let f(t) = -68*t**2. Calculate w(f(r)).
683332*r**2 + 24
Let j(k) be the third derivative of k**5/60 - 588*k**2. Let m(c) = -3123*c. Give m(j(t)).
-3123*t**2
Let p(f) be the first derivative of -159 + 0*f**2 + 49/3*f**3 + 5*f. Let z(h) = -h**2. Give p(z(u)).
49*u**4 + 5
Let r(g) = -57919731*g**2. Let h(x) = 2*x**2. What is r(h(k))?
-231678924*k**4
Let w(j) = 2*j**2. Let i(u) = -50*u - 32*u**2 + 50*u + 21*u**2. Let y be 8*5/(60/(-9)). Let s(h) = y*w(h) - i(h). Let k(v) = -20*v**2. Calculate s(k(b)).
-400*b**4
Suppose j - 4 = -0. Let f(a) = -4*a**2. Let d(w) = 2*w**2. Let b(l) = j*f(l) + 9*d(l). Let q(c) = 34*c + 4*c - 29*c. Give q(b(n)).
18*n**2
Let i = 71 - 2. Let p(r) = 30*r**2 + i*r**2 - 10*r**2. Let s(t) = -2*t**2. What is p(s(c))?
356*c**4
Let b(k) be the second derivative of k**4/6 - 2*k. Let h(d) be the first derivative of -47*d**2/2 + 1544. What is h(b(y))?
-94*y**2
Suppose 0 = -3*x + n + 2, -x - 2*n - 2*n + 18 = 0. Let m(l) = 32*l**2 - 58*l**2 + 29*l**x. Let f(r) = -20*r. What is f(m(j))?
-60*j**2
Let s(v) = 7*v - 204. Let p(x) = -13*x + 374. Let a(d) = -6*p(d) - 11*s(d). Let y(f) = -36*f - 1. Calculate a(y(g)).
-36*g - 1
Let v(i) = 17*i - 1. Let a(c) = 2927059*c. Determine v(a(n)).
49760003*n - 1
Let f(g) be the third derivative of -7*g**5/60 + g**2. Let t(v) = -2*v - 18. Let i(d) = -9. Let o(s) = 10*i(s) - 5*t(s). What is f(o(z))?
-700*z**2
Let n(q) = q**2. Let m(z) = z**2 + 61*z + 293. Let t be m(-56). Let b(g) = 8*g - 7*g - 7*g - 14*g**2 - t*g**2 + 25*g**2. Give n(b(p)).
4*p**4 + 24*p**3 + 36*p**2
Let p(u) = 4*u + 1. Let s(x) = 2*x - 758346. Determine s(p(o)).
8*o - 758344
Let g(t) = 41*t**2. Let p(d) = 119418*d - 17. Give p(g(c)).
4896138*c**2 - 17
Let y(t) = 6*t - 8. Let a(m) = 2*m**2 + 70*m + 61. Calculate a(y(p)).
72*p**2 + 228*p - 371
Suppose 122*q + 4 = 124*q. Let y(m) be the third derivative of 0*m**4 + 1/12*m**5 + 0 + 0*m - 15*m**q + 0*m**3. Let i(k) = -k**2. Give i(y(h)).
-25*h**4
Let f(y) be the third derivative of y**5/30 + 29*y**2 - 108*y + 1. Let s(q) be the second derivative of q**3/6 + q**2/2 - 2*q. Determine s(f(m)).
2*m**2 + 1
Let y(i) = 7484*i. Let x(w) be the first derivative of -w**2/2 + 5875. Give x(y(j)).
-7484*j
Let b(p) be the first derivative of 5*p**2/2 - p - 1600. Let j(h) = -11*h**2 + 1. Determine b(j(n)).
-55*n**2 + 4
Let g(p) = -5*p**2 + 37. Let a(n) be the first derivative of -20*n**3/3 + 14624. Give a(g(m)).
-500*m**4 + 7400*m**2 - 27380
Let j(a) be the second derivative of 2*a + 0 + 0*a**3 + 0*a**2 - 1/6*a**4. Let y(v) = -165*v**2. Give y(j(w)).
-660*w**4
Let w(b) = -10*b**2. Suppose 3*p = 3*d - 3, 12*d + 2*p = 8*d + 34. Let i(u) = -10*u**2. Let f(y) = d*w(y) - 4*i(y). Let v(j) = 4*j. Give f(v(r)).
-320*r**2
Let t(y) = -555306*y. Let p(j) = 12*j**2 - 27. Give p(t(l)).
3700377043632*l**2 - 27
Let u(w) = 2*w. Let n(y) = -29 - 900*y + 29 - 500*y. Calculate u(n(k)).
-2800*k
Let w(r) = -r**2. Let a(i) = 2. Let s(c) = 4. Let f(m) = -5*a(m) + 2*s(m). Let d(z) = -z - 22. Let b(u) = -2*d(u) + 22*f(u). What is w(b(p))?
-4*p**2
Let r(u) = u. Let t(y) = -77503375*y**2. Determine r(t(f)).
-77503375*f**2
Suppose -166*k = -161*k + s, -5*k + 2*s = 0. Let i(z) be the second derivative of 2*z + 0*z**3 + 1/3*z**4 + 0*z**2 + k. Let a(g) = 5*g**2. What is a(i(t))?
80*t**4
Let x(k) = 14*k + 56. Let b(d) = -36940*d. What is x(b(j))?
-517160*j + 56
Let s(d) = -30*d**2 - 2. Suppose 0*i = i. Let v(g) = i*g - 13*g + 16*g. Calculate s(v(m)).
-270*m**2 - 2
Let m(d) = -13059*d - 66. Let a(x) = -13059*x - 44. Let o(h) = -3*a(h) + 2*m(h). Let r(v) = 2*v. What is r(o(l))?
26118*l
Let b(w) be the first derivative of -w**3/3 + 1. Let y(r) be the third derivative of 0*r + 0*r**3 - 69*r**2 + 7/60*r**5 + 0 + 0*r**4. Determine y(b(t)).
7*t**4
Let s(v) = -v. Let j(h) = 3*h**2 + 13 + 2*h**2 - 4*h**2 + 6*h**2 + 15*h**2. Give s(j(g)).
-22*g**2 - 13
Let j(o) = o**2. Let g(c) = -3041*c**2 - 154*c - 5. Give g(j(l)).
-3041*l**4 - 154*l**2 - 5
Let b(j) = 2*j**2. Let x(d) = 12172520*d**2 + 3668*d - 58688. Let l(c) = -9953*c**2 - 3*c + 48. Let o(t) = -3668*l(t) - 3*x(t). What is b(o(v))?
198243872*v**4
Let g(z) = 183998*z. Let r(o) = -362*o**2. What is r(g(v))?
-12255605569448*v**2
Let x(u) = -245*u. Let d(q) = -5191399*q. Calculate x(d(m)).
1271892755*m
Let m(x) be the first derivative of 11*x**3 - x**2 - 838. Let i(v) = 7*v**2. Give m(i(p)).
1617*p**4 - 14*p**2
Let p(t) be the third derivative of -1/2*t**4 + 0*t + 0 + 0*t**3 - 2*t**2. Let w(d) be the second derivative of d**3/2 - 12*d + 2. Calculate w(p(n)).
-36*n
Suppose 0*u - 2*q + 16 = 4*u, -4 = -u - 2*q. Let n(b) = 4*b + 5*b - 4*b - u*b. Let k(z) be the second derivative of -z**3/3 + 13*z. Calculate k(n(l)).
-2*l
Let s = 5808 - 3097. Let l(r) = 2711*r - s*r - 243*r**2. Let y(f) = -2*f. Give l(y(g)).
-972*g**2
Let f(l) = 10*l - 8. Let i(m) be the third derivative of 5*m**4/8 - 38*m**2 - 26*m. Give i(f(k)).
150*k - 120
Let q(p) = -418673*p + 20. Let z(v) = 15*v. Calculate q(z(d)).
-6280095*d + 20
Let s(r) = -223*r**2 - 2*r. Let q(u) = 6977*u + 2. Determine q(s(t)).
-1555871*t**2 - 13954*t + 2
Let o(h) = -10*h**2. Let c(y) be the first derivative of -17*y**6/180 + 64*y**3/3 + 237. Let t(v) be the third derivative of c(v). Determine t(o(w)).
-3400*w**4
Let d(r) = -3678915*r. Let n(y) = 2*y**2. Determine n(d(k)).
27068831154450*k**2
Let d(b) = 7*b**2 - 28*b + 2. Let x be d(4). Let l(k) = 3*k - 16*k**2 - 6 + 20*k**2 - 3*k - 10*k**x. Let s(g) = 2*g. Give s(l(a)).
-12*a**2 - 12
Let p(v) = -58*v**2 - 7. Let o(l) = 30*l**2 + 4. Let j(n) = -7*o(n) - 4*p(n). Let q(z) = -19*z**2. Calculate j(q(d)).
7942*d**4
Let r(n) = -211*n + 429*n - 216*n. Let q(g) = 0 + 6 + 12*g - 4. Calculate q(r(c)).
24*c + 2
Let r(b) = 19*b - 32. Let w(c) = -532*c + 912. Let f(d) = 57*r(d) + 2*w(d). Let h(l) = 4*l + 2. Determine h(f(t)).
76*t + 2
Let m(x) be the second derivative of 1/4*x**4 + 0*x**2 - 2*x + 0 + 0*x**3. Let l(q) = -93*q + 168*q - 73*q. What is m(l(a))?
12*a**2
Let f(j) = -2711419273 - 3*j**2 + 2711419273. Let p(c) = -4*c. Let t(y) = -2*y. Let k(h) = -6*p(h) + 10*t(h). Give f(k(s)).
-48*s**2
Let k(f) = 51*f - 13. Let p(g) = 25*g - 6. Let y(l) = 6*k(l) - 13*p(l). Let n(u) be the third derivative of -u**5/30 + 1842*u**2. What is y(n(z))?
38*z**2
Let i(d) = 3*d**2. Let r(y) = -y + 1042749. Calculate r(i(j)).
-3*j**2 + 1042749
Let r(y) = 8*y + 61. Let v(t) = -6*t - 41. Let h(i) = -5*r(i) - 7*v(i). Let p(m) = -12*m. Give h(p(g)).
-24*g - 18
Let w(m) = -27*m**2. Let x be ((-2)/4)/(118/120 + -1). Suppose -8*h + x = 7*h. Let i(c) = -163*c - 7*c**h + 8*c**2 + 163*c. Determine i(w(t)).
729*t**4
Let c be (130/4)/((-11)/(-44)). Let b(y) = c*y + 110*y - 249*y. Let m(g) = 9*g**2. Let j(h) = -100*h**2. Let u(o) = -4*j(o) - 45*m(o). What is u(b(k))?
-405*k**2
Let y(m) = 4207*m**2 - 2089*m**2 - 2110*m**2 - 14. Let i(l) = 4*l. What is i(y(u))?
32*u**2 - 56
Let k = -314 - -324. Let i(n) = -54 - 60 + 114 - k*n. Let g(r) = -12*r. Give i(g(p)).
120*p
Let z(n) = 3*n - 1. Let s(p) = -25*p + 6. Let w(l) = 2*s(l) + 18*z(l). Let g(f) = -7*f + 13. Let d(j) = -6*g(j) - 13*w(j). Let o(a) = -a. Calculate d(o(y)).
10*y
Let g(q) = -q +
|
{
"pile_set_name": "DM Mathematics"
}
|
-d**3 + d**2 + 2
Let c(j) = -4444*j**3 - 2*j**2 + 4*j - 2. Let x(r) = 7403704*r**3 + 3333*r**2 - 6666*r + 3333. Determine 3333*c(q) + 2*x(q).
-4444*q**3
Let m(b) = 10*b + 10. Let p(a) = 11*a + 1. Let i(r) = -2*r. Let k(t) = -10*i(t) - 2*p(t). Let d be (-48546)/(-4495) + 2/10. What is d*k(q) + 2*m(q)?
-2*q - 2
Let d(g) = -879*g**2 + 42*g + 2. Let u(a) = 880*a**2 - 32*a - 1. Give -3*d(j) - 4*u(j).
-883*j**2 + 2*j - 2
Let o(q) = 7*q - 6. Let k(c) be the first derivative of -1/2*c**2 - 33 + c. Determine -4*k(a) - o(a).
-3*a + 2
Let n(p) = 27*p - 3. Let f(z) = 296*z - 32. Let i = -822 + 819. Determine i*f(r) + 32*n(r).
-24*r
Let l(g) = 3*g + 46. Let f be l(-15). Let j = 13 - 7. Let s = 2 - j. Let z(c) = -2*c**2 + 3*c + 1. Let b(u) = -u**2 + u. Give f*z(v) + s*b(v).
2*v**2 - v + 1
Let u(s) = -313*s**3 + 2463*s**2 + 102*s + 34. Let x(o) = 39*o**3 - 308*o**2 - 12*o - 4. Determine -2*u(b) - 17*x(b).
-37*b**3 + 310*b**2
Let l(o) be the second derivative of 2*o**3/3 + o**2/2 - 130*o. Let s(r) be the second derivative of -r**3/6 - 8*r. Calculate 2*l(f) + 6*s(f).
2*f + 2
Let p(r) = -21*r**3 - 8*r**2 - 18*r - 2922. Let j(q) = -8*q**3 - 3*q**2 - 7*q - 974. Determine 8*j(o) - 3*p(o).
-o**3 - 2*o + 974
Let c(q) = 3*q - 4. Let s(d) = 31*d + 1. Let w(b) = -48*b. Let a(t) = 3*s(t) + 2*w(t). Determine 5*a(n) + 4*c(n).
-3*n - 1
Let y(v) = 5*v**2 - 21*v + 4. Let z(u) = -32*u**2 + 128*u - 26. Calculate -39*y(w) - 6*z(w).
-3*w**2 + 51*w
Let b(l) = -5*l - 1. Let x(o) = 9063*o + 4. Determine 4*b(u) + x(u).
9043*u
Let o(n) = 5*n**2 - 3*n. Let w = 40 - 45. Let b(h) = 11*h**2 - 5*h. Let l be 2/20*-6*5*4/(-4). Calculate l*b(m) + w*o(m).
8*m**2
Let p(a) = 39*a**3 + 238*a**2 + 24*a - 1. Let x(l) = -61*l**3 - 357*l**2 - 38*l + 2. Calculate 8*p(s) + 5*x(s).
7*s**3 + 119*s**2 + 2*s + 2
Let n(d) = 95*d**3 + 35*d**2 + 1. Let c(l) = 33*l**3 + l**2 - l. What is -3*c(u) + n(u)?
-4*u**3 + 32*u**2 + 3*u + 1
Let t(q) = -1. Suppose -4*k - k - 4*f - 9 = 0, -3*k - 5 = 2*f. Let p(z) = -4*z - 42 + 16 + 29. Determine k*p(n) - 3*t(n).
4*n
Let q(f) = -40*f + 13. Let z(l) = 4*l - 2. Let a(h) = -q(h) - 4*z(h). Let i(n) be the second derivative of 10*n**3 - 6*n**2 + 14*n. What is 12*a(v) - 5*i(v)?
-12*v
Let n(j) = 3*j**2 + 4*j + 11. Let b(l) = -2*l**2 - l - 7. Let o(u) = 2*b(u) + n(u). Let r(d) = 2*d - 3. Calculate 5*o(f) - 6*r(f).
-5*f**2 - 2*f + 3
Let z(g) = 9*g**2 - 34*g**2 + 3*g**2 + 27*g**2 + 2 + 6*g + 2*g**2. Let w be ((-35)/21)/((-1)/(-3)). Let d(r) = -6*r**2 - 5*r - 1. Calculate w*d(a) - 4*z(a).
2*a**2 + a - 3
Let o(i) = 7*i**2 - 15*i + 15. Let m(t) = -2*t**2 + 4*t - 4. Let l(s) = -s**2 + 10*s - 3. Let a be l(10). Let u be (a - 8/(-2))*-22. What is u*m(p) - 6*o(p)?
2*p**2 + 2*p - 2
Let m(u) = -4*u - 12. Let h be (44*9/(-36))/((-1)/61). Let j = h + -697. Let x(p) = -p - 3. What is j*x(s) + 6*m(s)?
2*s + 6
Let t(a) = 8*a**2 - a + 3. Let g(f) be the second derivative of 23*f**4/12 - 2*f**3/3 + 4*f**2 - 4*f + 684. Determine 6*g(z) - 17*t(z).
2*z**2 - 7*z - 3
Let i(p) be the third derivative of 2/3*p**3 - p**2 + 1/30*p**5 + 1/6*p**4 + 16*p + 0. Let x(y) = 4*y**2 + 7*y + 7. What is -5*i(g) + 3*x(g)?
2*g**2 + g + 1
Let p(z) = -26*z**2 - 59*z - 5. Let n(h) = -96*h**2 - 207*h - 18. Give -5*n(c) + 18*p(c).
12*c**2 - 27*c
Suppose -1237*i - 205 = -1196*i. Let r(x) = -7*x**3 + 5*x**2 + 4*x - 11. Let n(h) = 10*h**3 - 7*h**2 - 6*h + 16. Give i*n(k) - 7*r(k).
-k**3 + 2*k - 3
Let b be (-5)/(68/12 - 4). Let s(y) = -2*y**3 + 4*y**2 - 6*y. Let t(v) = -2*v**3 + 3*v**2 - 5*v. Give b*s(d) + 4*t(d).
-2*d**3 - 2*d
Let y(u) = -32*u**3 + 17*u + 42. Let r(l) = 11*l**3 - 5*l - 14. Determine 7*r(t) + 2*y(t).
13*t**3 - t - 14
Let h(g) = 136*g**3 - g**2 + 12*g + 3. Let t(f) = -271*f**3 + f**2 - 20*f - 5. What is 5*h(w) + 3*t(w)?
-133*w**3 - 2*w**2
Let o(w) = 29*w**2 - 966*w - 8. Let v(n) = 81*n**2 - 2893*n - 23. Give -17*o(x) + 6*v(x).
-7*x**2 - 936*x - 2
Let u(o) = 53*o**2 + 14*o + 3. Let i(a) = 6013*a + 35*a**2 + 1 + 1 + 6015*a - 12019*a. Give -8*i(l) + 5*u(l).
-15*l**2 - 2*l - 1
Let o(m) = -10*m**3 - 25*m**2 - 23*m - 45. Let v(a) = 6*a**3 + 16*a**2 + 15*a + 29. Give 5*o(k) + 8*v(k).
-2*k**3 + 3*k**2 + 5*k + 7
Let t(f) = -6*f**2 - 5. Let s(b) = b**2 + 1. Let q(a) = -2*a**2 + 28*a - 18. Let r = -72 + 85. Let w be q(r). Suppose -17 = 9*z - w. Calculate z*t(h) - 5*s(h).
h**2
Let s(z) = -16*z**3 - 42*z**2 - 17*z - 57. Let j(d) = -33*d**3 - 91*d**2 - 36*d - 115. Determine -6*j(h) + 13*s(h).
-10*h**3 - 5*h - 51
Let v(s) = s. Let b(d) = 40*d**2 - 8*d + 43. Let i(r) = 37*r**2 - 8*r + 40. Let q(j) = -13*b(j) + 14*i(j). Give -2*q(l) - 10*v(l).
4*l**2 + 6*l - 2
Let m(w) = 19*w - 33. Let f(s) = -58*s + 96. What is 3*f(u) + 8*m(u)?
-22*u + 24
Let t(q) = -354*q - 29. Let i(h) = -98*h - 9. Let f(d) = 10*i(d) - 3*t(d). Let j(z) = -27*z + 1. Calculate 4*f(m) + 11*j(m).
31*m - 1
Let c(k) = -45*k - 20. Let j(d) = -39*d - 27. What is 5*c(x) - 6*j(x)?
9*x + 62
Let x(g) = -8*g - 1. Let c(f) be the second derivative of 4*f**3 + f**2 - 21*f - 10. Calculate 4*c(w) + 11*x(w).
8*w - 3
Suppose 0 = 24*a - 139 + 19. Let l(t) = 6 - a*t + 49*t**3 - 52*t**3 + 1 + 6*t**2. Let m(c) = 3*c**3 - 5*c**2 + 4*c - 6. What is 5*l(y) + 6*m(y)?
3*y**3 - y - 1
Let h(v) be the first derivative of 13*v**4/4 + 2*v**3/3 - 2*v - 3. Let q(b) = 416*b**3 + 65*b**2 - 65. Determine -65*h(a) + 2*q(a).
-13*a**3
Let d(o) = 4 - 7 - 361*o - 4 - 15*o**2 + 365*o. Let k = -20 - -13. Let h(j) = 7*j**2 - 2*j + 3. Let n = 977 - 980. Determine k*h(c) + n*d(c).
-4*c**2 + 2*c
Suppose 11*q + 945 - 1000 = 0. Let z(f) = 2*f**2 + 3*f - 2. Let w(k) = k**2 + k - 1. What is q*w(y) - 2*z(y)?
y**2 - y - 1
Let k(w) = -8*w. Let z(x) = x. Let s(a) = a**3 + 3*a**2 - 28*a - 70. Let i be s(-6). Let p = 3 - 5. Calculate i*z(m) + p*k(m).
6*m
Let y(q) = -6*q - 7. Let i(u) = 6*u + 6. Let b(v) = 56 - 2*v + 62 - 120. Let z(m) = -12*b(m) - 3*i(m). Calculate 6*y(x) + 7*z(x).
6*x
Let u(j) = 2729*j**2 - 5*j - 1. Let l(m) = -1352*m**2 + 2*m. Calculate 5*l(h) + 2*u(h).
-1302*h**2 - 2
Let f(m) = m**2 - m. Let q = -8298 + 8254. Let h(u) = 5*u**3 + 11*u**2 - 11*u. Calculate q*f(o) + 4*h(o).
20*o**3
Let d(p) = p. Let f(u) be the first derivative of 4*u**2 + u + 1828. Calculate 6*d(x) - f(x).
-2*x - 1
Let b(m) = m**2 + m. Let q(g) = -125*g**2 - 100*g. Suppose 253*l + 1 = 250*l - h, -9 = 3*l - 3*h. Calculate l*q(a) - 100*b(a).
25*a**2
Let g(h) be the third derivative of h**4/8 + h**3/3 + 2057*h**2. Let x(d) = 2*d + 2. Give -3*g(p) + 2*x(p).
-5*p - 2
Let f(z) = -1. Let b be ((-3)/(-6))/(47/(-12) - -4). Suppose -b*y = -21 - 15. Let a(j) = 2 - 4*j**3 - y + 20. Determine -a(u) - 16*f(u).
4*u**3
Let k(t) = 5*t + 1336. Let w(d) = 4*d + 1337. Give 3*k(r) - 4*w(r).
-r - 1340
Let q be 5/100*-6 + 73/10. Let i(v) = -13*v**3 + 9*v**2 - 10*v + 13. Let t(h) = 4*h**3 - 3*h**2 + 3*h - 4. Calculate q*t(k) + 2*i(k).
2*k**3 - 3*k**2 + k - 2
Let w(a) = -a**2 - 3*a - 1. Let d(z) = 14*z**2 + 13*z + 5. Let f(j) = -d(j) - 5*w(j). Let r(m) = 341*m**2 - 77*m. What is 77*f(u) + 2*r(u)?
-11*u**2
Let d(n) = -1. Let v(s) = 3*s - 1. Let z(i) = -3*i**2 - 16*i - 4. Let a = -151 - -146. Let j be z(a). Determine j*v(p) + d(p).
3*p - 2
Suppose 23 = -25*x + 98. Let i(y) = 2 + 8*y**2 - 3*y**2 - 6*y + 3*y. Let k(c) = 10*c**2 - 5*c + 3. Calculate x*k(s) - 5*i(s).
5*s**2 - 1
Let r(v) = 522*v - 16. Let w(h) = -3. What is -2*r(z) + 10*w(z)?
-1044*z + 2
Let d(x) = -6*x - 160. Let w(h) = -14*h - 322. Calculate 5*d(c) - 2*w(c).
-2*c - 156
Let k(c) = -4*c**2 + 636*c + 1909. Let y be k(-3). Let m(z) = 47*z - 2. Let j(r) = 800*r - 35. Determine y*m(t) + 2*j(t).
-45*t
Let z(t) = -26*t**2 + 9*t - 8. Let y(r) = r**2 + 2*r + 1. Calculate -4*y(j) + z(j).
-30*j**2 + j - 12
Let u(y) = 25*y + 3. Let g(f) = -f - 4. Let i(b) = 6*b. Let c(t) = -g(t) + 4*i(t). Calculate 3*c(n) - 4*u(n).
-25*n
Let h(u) = -6237*u**2 - 6*u. Let r(l) = -34708897*l**2 - 33392*l. Give 16696*h(y) - 3*r(y).
-6261*y**2
Let d(o) = o**2 + 17*o - 4. Suppose -20*i - 134 = -234. Let a(m) = 8*m - 2. What is i*a(c) - 2*d(c)?
-2*c**2 + 6*c - 2
Let x(g) = 5*g - 2. Let j(m) = -5*m - 13*m + 5 + 0*m + 8*m. Calculate 4*j(i) + 9*x(i).
5*i + 2
Let o(u) = -5*u - 3. Let r(x) = x + 1. Let m = 110 - 88. Suppose 11*j - m = -0*j. What is j*r(f) + o(f)?
-3*f - 1
Let h(o) = o**3 - 4*o**2 - 5*o - 8. Let k(a) = 3*a**2 + 11*a
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{
"pile_set_name": "DM Mathematics"
}
|
9. Let s = 6.46 - -0.04. Let h = 7 - s. Sort q, h, 13 in increasing order.
h, q, 13
Let l = -0.9 + -9.1. Let f = l + 7. Let z = -13 + 12.8. Put z, f, -6 in increasing order.
-6, f, z
Let s = -1877/5 - -376. Let w = -0.6 + 0.3. Put -0.4, s, -0.1, w in ascending order.
-0.4, w, -0.1, s
Let o = -0.78 + 0.28. Let n(q) = q**3 - 9*q**2 - q + 13. Let l be n(9). Suppose 0 = -g + 3*b + 12 - 5, -l*g = -2*b - 8. Sort 0.4, o, g.
o, 0.4, g
Let i = 58 + -289/5. Let d = 398 - 396. Put -2/3, d, i in descending order.
d, i, -2/3
Let r be (6 - -4) + -3 - 5. Sort 3, -3, r, -39 in descending order.
3, r, -3, -39
Let q be 8/12 + 4/3 + -3. Put 49, q, 4 in increasing order.
q, 4, 49
Suppose 7*s + 2 = 324. Let x = -41 + s. Sort 4, x, -10 in ascending order.
-10, 4, x
Suppose 3*g - 2*g - 5 = -i, -3*g = 0. Let t = -1 + 0.5. Sort 0.4, t, i in increasing order.
t, 0.4, i
Let o(j) = -2*j**2 + 9*j + 1. Let n be o(5). Sort n, 4, 2, -2.
n, -2, 2, 4
Let m = -34 + 39. Suppose -3*l = -5*h + 121, 0 = -4*h + l - 5*l + 84. Let a = 15 - h. Put a, m, -1 in descending order.
m, -1, a
Let n be (-12)/(-2)*(2/1)/2. Suppose n*t - 11 = -5*t. Let j = 2.4 - -0.6. Sort t, j, 0 in decreasing order.
j, t, 0
Let p be ((-4)/14)/(1/3). Sort 5, -1, 1, p.
-1, p, 1, 5
Let h = -13.19 - -13.69. Let g = 3.7 + -4. Put h, g, 0 in ascending order.
g, 0, h
Suppose b + x - 16 = -4*b, 4*b + 5*x + 4 = 0. Let u be (-45)/18*4/(-10). Let a be (-2)/((-2)/((-8)/2)). Put b, u, a in increasing order.
a, u, b
Let f = 96 - -6. Let k = f - 101.7. Put -3, -4/5, 2, k in increasing order.
-3, -4/5, k, 2
Let v be (-27)/(-15*11/(-550)). Sort -2, 0, v in ascending order.
v, -2, 0
Let g be ((-1)/(14/(-21)))/(6/8). Put -5, 4, g, 5 in descending order.
5, 4, g, -5
Let w be (-4)/(-6)*(-3)/2. Let t(d) = d - 25. Let m be t(26). Put w, m, 13 in increasing order.
w, m, 13
Suppose 2*h = -3*h + 3*i - 8, -2*h = -2*i + 4. Let g = 4 + -7. Let p(m) = m + 7. Let v be p(g). Put 0, h, v in ascending order.
h, 0, v
Let i = 4.7 - -12.3. Let n(p) = p**2 - 8*p + 7. Let w be n(6). Put i, -0.1, w in increasing order.
w, -0.1, i
Suppose -4*h - 9 = -3*b, -5*b + b + 12 = 2*h. Let m(o) = 2*o - 6. Let u = -6 - -11. Let y be m(u). Sort b, y, 0 in increasing order.
0, b, y
Let r = -530 + 526. Sort r, 3, 19, 1 in decreasing order.
19, 3, 1, r
Let u(i) = -i**2 - 24*i - 113. Let v be u(-6). Sort -3, -4, -11, v in decreasing order.
-3, -4, v, -11
Let p = 16.3 - 16. Let r = -244 + 243.8. Put r, 2/5, p in increasing order.
r, p, 2/5
Let x = 169.4 + -168.4. Let k = 0.03 - 12.03. Let i = k + 8. Sort -0.05, x, i in descending order.
x, -0.05, i
Let i(j) = 37*j - 77. Let r be i(2). Sort r, -1, 3, 4.
r, -1, 3, 4
Let b be (3 - 9/(-6)) + 1/2. Sort -1, -5, b, 132 in descending order.
132, b, -1, -5
Let s(o) be the first derivative of -o**2 - 6*o - 25. Let u be s(-5). Sort -1, -9, u in descending order.
u, -1, -9
Let h = -937 - -937. Put 2, 22, h, -13 in descending order.
22, 2, h, -13
Suppose 21*l + 72*l = -372. Sort 5, -3, -8, l in decreasing order.
5, -3, l, -8
Suppose 4*o = 4*k + 316, -k - 88 = -3*o - o. Sort -1, k, 5, 4 in descending order.
5, 4, -1, k
Let z = -18.9 + 19. Let k = -4.9 - z. Let r = 26 - 23. Sort k, r, 2.
k, 2, r
Let g = -82 - -111. Sort -4, g, -3/7 in descending order.
g, -3/7, -4
Suppose 9*y + 7*y - 64 = 0. Sort y, 0, -4, -21 in ascending order.
-21, -4, 0, y
Let w(d) = -d + 7. Suppose 3*n - 60 = -2*n - 4*i, 0 = -4*i. Let b be w(n). Put b, -1, -4 in increasing order.
b, -4, -1
Let l = -67/182 + -12/91. Put l, 0.2, 0.6, -0.4 in descending order.
0.6, 0.2, -0.4, l
Let s be (12/10)/((-42)/(-1400)). Suppose 0 = -6*n + 2*n + s. Suppose -4*q = q + n. Sort 1, q, 2 in descending order.
2, 1, q
Let h = 0.1 + 0.3. Suppose -25*k - 17 = 8. Sort h, k, 1/3 in increasing order.
k, 1/3, h
Let i be (-3)/(12/(-8)) + (-10)/4. Sort 2/7, 4, 0.2, i in ascending order.
i, 0.2, 2/7, 4
Let m = -0.02 - 0.48. Sort -4, m, 0.2, 8 in increasing order.
-4, m, 0.2, 8
Suppose -25 = 5*c, -2*a + c = -0*a + 13. Let n = a + 4. Put -1, 14, n in increasing order.
n, -1, 14
Let k = -8.76 + -0.24. Let r = -4.9 + 13.5. Let f = k + r. Sort -3, 0, f in decreasing order.
0, f, -3
Let c be 6/(-4) + (-117)/(-18). Sort -6, 4, c, -1.
-6, -1, 4, c
Let t = 221/1395 + -7/279. Let d = 35/87 + -2/29. Put -5, t, d, -3 in descending order.
d, t, -3, -5
Let w = 740 + -737. Sort w, 5, -11.
-11, w, 5
Let i be 39/9 - (-1)/(-3). Let p be (i + -2)*(-2)/(-1). Sort p, 0, -22 in increasing order.
-22, 0, p
Let w = -537 - -10201/19. Put 3/16, 0.1, w in ascending order.
w, 0.1, 3/16
Let i = 83/7 + -1184/91. Sort i, -3, -5, -2/3.
-5, -3, i, -2/3
Let y be 14*((-2)/4 + 0). Suppose 3*j + 35 = -2*j. Let w = j - y. Put -1, -4, w in descending order.
w, -1, -4
Suppose 2*c - 5*o - 6 = -26, 0 = 2*o. Let f(w) = w**3 + 10*w**2 - 2*w - 15. Let r be f(c). Sort r, 6, 2 in descending order.
6, r, 2
Suppose -9 = -3*d, -3*q + 69 = -d - 2*d. Suppose 5*v - 3*y = y + q, 5*v - 35 = -5*y. Suppose 4*p = v*p + 4. Put p, -3, 4 in descending order.
4, p, -3
Let h = 18 + -13. Let x be 144/15 - 3/h. Suppose -x = 2*l - 5*l. Sort -3, 0, l in ascending order.
-3, 0, l
Let s = 1781/1065 - 2/355. Sort 0.4, s, -0.21, 2 in decreasing order.
2, s, 0.4, -0.21
Let j be (-2)/3 - 7/3. Let r(p) = -p**3 - 5*p**2 + 4*p - 3. Let a be r(-6). Suppose -9 - 9 = -a*z. Sort j, 4, z in increasing order.
j, z, 4
Let a(s) be the second derivative of s**5/20 + 7*s**4/6 - 7*s**3/3 + 7*s**2 + s. Suppose 11*n + 4 + 161 = 0. Let h be a(n). Sort -5, 5, h in decreasing order.
5, h, -5
Suppose 0 = -2*w - 2 + 4. Suppose -w = l - 5. Let x = 340.4 + -340. Put l, -6, x in decreasing order.
l, x, -6
Let j = 223/5396 - 1/76. Let h = 61/355 + j. Put 5, h, -2/11, -0.3 in ascending order.
-0.3, -2/11, h, 5
Let s(k) = k + 7 + 0*k - 2*k. Let q be s(5). Let f be (-6)/(-3*(-10)/15 - 0). Put f, -5, q in decreasing order.
q, f, -5
Let d = -341.3 + 342. Put d, 2, -4/9 in decreasing order.
2, d, -4/9
Let n = 51 + -36. Let b be 5/(-25) + 48/n - -1. Put 0, b, 5, -5 in descending order.
5, b, 0, -5
Let v = 1370/7 + -196. Let o = 4.43 + -4.03. Put -1/5, o, v in descending order.
o, -1/5, v
Let i(u) = u**2 + 33*u + 240. Let n be i(-22). Let z be 8/3*9/(-2). Sort -4, z, n.
z, -4, n
Let z be ((-303)/(-6))/((-7)/3218). Let r = z - -23313. Let n = -97 + r. Put n, 1, -0.3 in decreasing order.
1, n, -0.3
Let z = 1.54 - 5.54. Sort 4, z, 1.
z, 1, 4
Let p be 14/(-3) - (-49 - -45). Sort -5, 28, p, 3/5.
-5, p, 3/5, 28
Suppose c + 3 = -v, -2*v = -c - 20 + 17. Sort 5/13, v, -0.3, -0.2 in decreasing order.
5/13, v, -0.2, -0.3
Let k = 2 - 2.02. Let v = -5.02 - k. Let y = 457 + -459. Sort y, 5, v in increasing order.
v, y, 5
Let j be (-1)/((-1 - 2) + 4). Let y = j - -5. Sort 3, y, 0.
0, 3, y
Let t = -0.3 + 0.5. Let i = 0.104 + 51.896. Let s = -54 + i. Sort s, -1/6, t.
s, -1/6, t
Suppose 4*r - 7*z + 15 = -6*z, -4*r = -3*z + 5. Sort 16, -3, 4, r in ascending order.
r, -3, 4, 16
Let t = 161.64 - 157. Let v = t - 4.7. Sort v, 5, -2/5 in ascending order.
-2/5, v, 5
Suppose -176 = -4*p - 188. Put 9, p, -4 in decreasing order.
9, p, -4
Suppose 0 = 5*v + 12 + 18. Let m be (-4)/(-10)*1 - (-104)/65. Sort v, 1, m in ascending order.
v, 1, m
Let x be 180/22 + 4/(-22). Suppose n = -3*n - x. Let z be (13 + 4 + -2)*(-2)/6. Sort n, z, -3 in ascending order.
z, -3, n
Let k = 641 + -1922/3. Put -25, k, -2 in decreasing order.
k, -2, -25
Let h = 1638 - 1642. Sort 2, 4, -21/5, h.
-21/5, h, 2, 4
Let q = 0.018 + -0.118. Let b(h) = -3*h**2 - 8*h. Let v be b(-8). Let o = v + 1410/11. Sort 0.1, o, q.
q, 0.1, o
Let l = -714 + 750. Put 3/5, 4, l in decreasing order.
l, 4, 3/5
Let p = 83 - 13. Let y = 72 - p. Sort -1, 0.2, -2/19, y in decreasing order.
y, 0.2, -2/19, -1
Let a = -126 + 122. Let o = 0.08 + -0.48. Let s = -0.1 + -0.1. Sort o, a, s in ascending order.
a, o, s
Suppose 30 = -5*n + 70. Sort 1, -2, -5, n in decreasing order.
n, 1, -2, -5
Suppose 0 = -3*f - 4*o - 67 + 27, -6*f = 2*o + 74. Sort -1/3, -4, f in decreasing order.
-1/3, -4, f
Let i be (-6)/2*(-23 + 22). Suppose -2*r = 3*d + 9, -3*r - 10 + 5 = -4*d. Sort 4, d, i in descending order.
4, i, d
Let n(z) = -z**2 - 22*z - 23. Let m be n(-21). Let f be 3/6*(1 + -2)*2. Put -4, m, -3, f in descending order.
f, m, -3, -4
Suppose -17 + 2 = 5*i. Let s = 0.2 - 0.2. Let r = -95
|
{
"pile_set_name": "DM Mathematics"
}
|
b is positive.
b**(207/28)
Simplify b/(b*b*b**(-2/7))*b*((b**1/b)/b)/b*(b/(b/b**(2/3))*b)**48 assuming b is positive.
b**(548/7)
Simplify m/(m**(3/7)/m)*(m*m*m/(m/(m*(m/(m**(1/30)*m))/m)))/m assuming m is positive.
m**(533/210)
Simplify (y*y/((y*y**(-1)*y)/y))**(-22/7)*(y/(y*y**(1/5)))/(y*y/(y/y**(2/7))) assuming y is positive.
y**(-272/35)
Simplify (u**(3/4)/u)**(-45) assuming u is positive.
u**(45/4)
Simplify ((w*w**(-1/5)*w)/w**(-3))/(w*(w/w**0)/w)**7 assuming w is positive.
w**(-11/5)
Simplify (g**(-2/3)*g)**(-30/13)/(((g/(g*g/(g**7*g)*g))/g)/(g/(g/(g*(g*g*((g/(g**(3/5)/g))/g)/g)/g)))) assuming g is positive.
g**(-284/65)
Simplify o/((o**(-30)*o)/o)*o*o**(-6)/o assuming o is positive.
o**25
Simplify ((p*p*p**3)/p**1)**(-23/6) assuming p is positive.
p**(-46/3)
Simplify (d**4*d*d*d**(-4))/((d/(d**(2/7)/d))/(d*d**(-3)/d)) assuming d is positive.
d**(-19/7)
Simplify (g*g**(2/9)*g)**34 assuming g is positive.
g**(680/9)
Simplify b**(-1/31)/b*b*b**12 assuming b is positive.
b**(371/31)
Simplify ((g/g**(1/2))**21)**(10/7) assuming g is positive.
g**15
Simplify ((u**2)**(-9/4))**(-20) assuming u is positive.
u**90
Simplify ((t/t**(-6))/t**(-11))**(-33) assuming t is positive.
t**(-594)
Simplify ((b/b**(-1/7))/b)/b*b*(b*b*b**(-7)*b*b)/b assuming b is positive.
b**(-27/7)
Simplify (l**(-1/4)*(l*l**(6/5))/l*l)**(-39) assuming l is positive.
l**(-1521/20)
Simplify (c**6*c/c**(-3/10))**(-7) assuming c is positive.
c**(-511/10)
Simplify (y/y**19)/(y**(-8)*y) assuming y is positive.
y**(-11)
Simplify (b**(-5))**(-33) assuming b is positive.
b**165
Simplify (p*p**3)/(p**(-1/13)*p*p*p)*(p/((p**(-3)/p)/p)*p)/((p/(p/((p**(-1/18)/p)/p)))/p) assuming p is positive.
p**(2605/234)
Simplify ((o**(-2))**50)**(1/2) assuming o is positive.
o**(-50)
Simplify f**5*(f**0*f)/f*f/f**(-2/15)*f**(-1/2) assuming f is positive.
f**(169/30)
Simplify (y/y**(4/7)*y)/y**2*y**(1/6)*y*y**(-3/2) assuming y is positive.
y**(-19/21)
Simplify ((m**(2/11)/m)/(m*m**(-2/11)*m))/(m*m**(-1))**(4/15) assuming m is positive.
m**(-29/11)
Simplify ((o**(-2/7)/o)/(o/(o*(o*(o*o*(o/(o/o**(-2/3)))/o)/o*o)/o*o*o)*o*o))/(o**(-3))**(-48) assuming o is positive.
o**(-3044/21)
Simplify (p/(p/p**(1/6)*p*p)*p/(p*p**(4/7)))**(-8/9) assuming p is positive.
p**(404/189)
Simplify x**31*x**(-28)*x assuming x is positive.
x**4
Simplify h**(-5)*(h*h/(h**(-1/5)*h)*h)/h*h*h/h**(1/8)*h**0*h assuming h is positive.
h**(-37/40)
Simplify d**0*d/(d*d**(-4/19)/d) assuming d is positive.
d**(23/19)
Simplify (((r/((r**2*r)/r))/r*r)**(-46))**(-4/15) assuming r is positive.
r**(-184/15)
Simplify (((u*u**(-1))/u*u)/u)**48*u*u**6*u*(u**(-2/9)/u)/u assuming u is positive.
u**(-380/9)
Simplify (z**(-2/19)*z)**(6/13) assuming z is positive.
z**(102/247)
Simplify ((u*u**(-10))/(u**(-11)*u*u))**(4/3) assuming u is positive.
1
Simplify ((h**(-2/13))**(-26))**(-13) assuming h is positive.
h**(-52)
Simplify ((t**(-2/15)/t)/(t**6/t))/(t**(-1/6)/(t*t/((t*t/(t*t**5))/t))) assuming t is positive.
t**(31/30)
Simplify z**(-6/7)*z*(z**7*z)/z assuming z is positive.
z**(50/7)
Simplify s**(3/29)*s**(-30) assuming s is positive.
s**(-867/29)
Simplify (y/y**(-5))/y*y*y**(-2)*y*(y*y/(y*y**(-1/2))*y)/y*y*(y/y**(3/5))/y assuming y is positive.
y**(69/10)
Simplify (n*((n/(n/(n*n/(n*((n/(n/(n*((n*n/(n*n*n**2*n)*n)/n)/n)))/n)/n)))*n)/n*n)/n)**42 assuming n is positive.
n**294
Simplify (x**(1/2)*x*x)**(-1/34)*(x*x**(2/5)*x)**14 assuming x is positive.
x**(11399/340)
Simplify a**(-2)*a*a**(2/3)/a*a**1*a**(2/3)*a*a assuming a is positive.
a**(7/3)
Simplify (v*(v/v**(-2/9))/v)**(-1)*v**(-6)*v*v**(-2/5) assuming v is positive.
v**(-298/45)
Simplify ((t/(t/t**(-5)))/(t*(t/(t**(-2/5)/t)*t*t)/t))/(t**(-1/4)/(t**(-5/4)/t)) assuming t is positive.
t**(-57/5)
Simplify ((r*r**(-5)*r)/r)/(r/(r/(r*r**(-1/7))))*(((r**(1/2)*r)/r)/r)**(-1/2) assuming r is positive.
r**(-129/28)
Simplify ((m**(-1)/m)**(-16))**(-24) assuming m is positive.
m**(-768)
Simplify ((r*r**(-4))**(2/47))**(-36) assuming r is positive.
r**(216/47)
Simplify ((u*(u**4*u*u)/u)/(u/((u/(u*u**6*u))/u)*u))/(u/((u**(-1/4)/u*u)/u)*u/(u/(u*((u*u/(u*u*u/(u*u**5))*u)/u)/u)*u)) assuming u is positive.
u**(-41/4)
Simplify ((((x*x**10)/x)/x)/(x/x**(-11/2)))**(23/2) assuming x is positive.
x**(115/4)
Simplify l*l**(-2/23)*l**8 assuming l is positive.
l**(205/23)
Simplify q**(2/7)*q*q**1*q**(-1/4)*q*q**(-5)*q assuming q is positive.
q**(-27/28)
Simplify (k**(-10/3)*k**(-11))**(-15) assuming k is positive.
k**215
Simplify (i*(i**(-1)*i)/i*i)**(-6/13)*(i/(i**(1/4)*i*i))**(1/37) assuming i is positive.
i**(-953/1924)
Simplify n**(1/3)*n/((n**(15/2)*n)/n*n) assuming n is positive.
n**(-43/6)
Simplify (r*r**(1/9)*r**(-2/7))/(r**(-3))**(2/7) assuming r is positive.
r**(106/63)
Simplify c*((c*c/(c**(-4/9)*c))/c)/c*c*c**(-3/4) assuming c is positive.
c**(25/36)
Simplify ((j/(j**(2/21)*j*j))/j**(-6))**(-6) assuming j is positive.
j**(-206/7)
Simplify b**4*b*b*b**(-3)*(b/(b**(2/3)*b))**(-2/13) assuming b is positive.
b**(121/39)
Simplify (p*p/p**(2/7))**(-7/5)*(p**0)**(2/81) assuming p is positive.
p**(-12/5)
Simplify (g**1)**(-10/7)/(g*g*g**(1/3)*g)**(6/5) assuming g is positive.
g**(-38/7)
Simplify (x/(x*x**(2/9))*x)/(x/(x/x**(2/5)))*x**(-1/2)/x**(3/2) assuming x is positive.
x**(-73/45)
Simplify (r**1)**45/(r**0/r)**(-2/41) assuming r is positive.
r**(1843/41)
Simplify c**(-2/5)/(c*(c/c**0)/c)*c/(c**4/c)*c*c**(1/8) assuming c is positive.
c**(-91/40)
Simplify ((m/((m/(m/m**(-12)))/m))/m**(-11))**(-8/9) assuming m is positive.
m**(-200/9)
Simplify ((k**1/k*k)/(k**(-4)/k))/((k**(2/9)/k)/k)**(-18) assuming k is positive.
k**(-26)
Simplify g**(-20)/g**(2/23) assuming g is positive.
g**(-462/23)
Simplify (n/n**(-2/37))**21 assuming n is positive.
n**(819/37)
Simplify (y**8/y)/y**(-4/9)*y**(-1/5)/(y/(y*(y**(1/2)*y)/y)) assuming y is positive.
y**(697/90)
Simplify (t*t*t**(-1)*t)/t**(1/29) assuming t is positive.
t**(57/29)
Simplify p**(-4)/(p/(p*p**(-3/5)))*p**(-2)*p*p*p/((p/(p/(p**(1/3)/p)))/p) assuming p is positive.
p**(-29/15)
Simplify (q**0*q)/q**10 assuming q is positive.
q**(-9)
Simplify i**36*i*i/(i*i/i**18) assuming i is positive.
i**54
Simplify (k/(k/(k/k**(-5))))/((k*k**(-10))/k)*k*(k*k**(4/7))/k*(k/k**(-9))/k*k assuming k is positive.
k**(193/7)
Simplify r*r/(r*r**(-6/7))*r*r/(r**(-2/13)*r) assuming r is positive.
r**(274/91)
Simplify ((c/(c**(-1/2)*c*c)*c)**11)**16 assuming c is positive.
c**88
Simplify (z*z*z/(z*z**(2/21))*z*(z*z**5)/z)**(26/3) assuming z is positive.
z**(4316/63)
Simplify (b**(-1))**(15/8)*(b*b**(2/7)*b)/(b**6/b) assuming b is positive.
b**(-257/56)
Simplify (v*v/(v**(-2)*v*v)*v)**36 assuming v is positive.
v**108
Simplify (l**16)**(1/43) assuming l is positive.
l**(16/43)
Simplify (q/((q*q**(2/21))/q))**35 assuming q is positive.
q**(95/3)
Simplify (t**(-6)/t)/(t**(-2/27)/t*t)*t*t*t*t**6*t*t**(2/3) assuming t is positive.
t**(101/27)
Simplify x**(-2/25)*x**3 assuming x is positive.
x**(73/25)
Simplify ((s/(s/((s/(s*(s/s**(2/11))/s*s)*s)/s)))/(s*s**(-1/10)))**5 assuming s is positive.
s**(-189/22)
Simplify (k**0/(k/k**(10/7)))**(-30) assuming k is positive.
k**(-90/7)
Simplify ((w*w**(-2/5))/(w/((w/w**2)/w)))**(-15) assuming w is positive.
w**36
Simplify x**(-7)/(x*x*x**7)*x**(1/11)/x**(10/3) assuming x is positive.
x**(-635/33)
Simplify (j*(j*j**(1/58))/j)/j**(-1/30) assuming j is positive.
j**(457/435)
Simplify (n*(n*n/n**(-1))/n*n*n)**17*n**(-6)/n**6 assuming n is positive.
n**73
Simplify (d**5/d*d**(-5)*d)/(((d/(d**(-4)*d)*d)/d)/((d/(d/(d/(d/d**(-4)))))/d)) assuming d is positive.
d**(-9)
Simplify ((h*h**(-8)*h)/h)/((h/(h/(h**(-4/7)*h*h*h)))/h) assuming h is positive.
h**(-59/7)
Simplify (((t**(1/18)/t*t)/t)/t*t)/(t/(t**1*t)) assuming t is positive.
t**(1/18)
Simplify l**(-1/4)*(l/(l*l/(((l**12*l*l)/l)/l)))/l assuming l is positive.
l**(39/4)
Simplify ((w/(w/(w/((w/w**(4/13))/w)))*w*w)/w)/w**(3/7) assuming w is positive.
w**(171/91)
Simplify ((k*k**0)**11)**1 assuming k is positive.
k**11
Simplify (s**(-3/2))**(-2/11) assuming s is positive.
s**(3/11)
Simplify (f/(f/(f/(f*(f/(f/(f/(f/f**(-3/5)))))/f)))*f/(f**(1/3)/f))/(f**(-3)/(f/((f/f**(2/5))/f))) assuming f is positive.
f**(23/3)
Simplify m*m/(m/m**21)*m*m**(-1/26)/m*m assuming m is positive.
m**(597/26)
Simplify (c**8*c*((c*c**
|
{
"pile_set_name": "DM Mathematics"
}
|
-2/7))**(-9/7) assuming h is positive.
h**(324/539)
Simplify (c*c**4)/c*c*c*c/(c*c**3*c)*c assuming c is positive.
c**3
Simplify (y**7/y**(-1))**15 assuming y is positive.
y**120
Simplify (g**(6/7)/g)/((g/g**(-1/48))/g) assuming g is positive.
g**(-55/336)
Simplify g**8/((g*g**(-1/13))/g) assuming g is positive.
g**(105/13)
Simplify (d/(d/d**(4/7)))**(4/5) assuming d is positive.
d**(16/35)
Simplify ((d/((d/(d/(d/(d/((d**(-10)*d)/d)))*d))/d))/(d/((d/d**12)/d)))**(-2/37) assuming d is positive.
1
Simplify (l*l**(-3/7)*l*l*l**6*l*l*l)/((l*l/(l*l/(l/((l/(l**(2/5)*l))/l))*l*l))/(l**(-3)/l)) assuming l is positive.
l**(251/35)
Simplify (l*l**(-1/4)*l*l*l**(-3/10)*l*l)**(2/23) assuming l is positive.
l**(89/230)
Simplify (w**(-2/9))**(-26/7) assuming w is positive.
w**(52/63)
Simplify z**(5/6)/(z/(z/((z/(z/(z*z**(-2/11)*z)))/z*z))) assuming z is positive.
z**(-65/66)
Simplify ((y/(y**(9/4)*y))/y)/y**(2/15) assuming y is positive.
y**(-203/60)
Simplify (u**(-5/2)*u**(-11))**(-7/4) assuming u is positive.
u**(189/8)
Simplify (k/k**1)/k*((k**(1/4)/k*k)/k)/k*(k**(2/3)*k*k)/k*(k*(k*k*k/k**(2/5))/k*k)/k*k*k assuming k is positive.
k**(211/60)
Simplify (k*k**(-18/5)*k*k)/k**(-35) assuming k is positive.
k**(172/5)
Simplify (z*z/z**(2/19))**(-2/37) assuming z is positive.
z**(-72/703)
Simplify (r**4*r)/(r**(-15)*r) assuming r is positive.
r**19
Simplify ((z**(-29/4)/z)/z)/z*z/((z/((z*z*z/z**(-5/2)*z)/z))/z) assuming z is positive.
z**(-15/4)
Simplify (d**0/d*d/(d/(d**7/d)))/(d/d**(-1/4))**0 assuming d is positive.
d**5
Simplify a**(-2/13)/a**17 assuming a is positive.
a**(-223/13)
Simplify ((j**(-7/6)*j)/j)/(j*j**(3/14)) assuming j is positive.
j**(-50/21)
Simplify (((n/n**(2/11))/n*n)/n**(-3/2))/(n**(-1/5)*n*n**(5/6)) assuming n is positive.
n**(113/165)
Simplify (n/(n/(n/(n/(n*(n/n**(-4/15))/n)))))/n**(-1/18) assuming n is positive.
n**(119/90)
Simplify ((q/(q**(4/7)/q)*q)/q**(-4))/(q**1*((q*q**(-6)*q*q)/q)/q) assuming q is positive.
q**(73/7)
Simplify ((x*x**(3/2))**42)**39 assuming x is positive.
x**4095
Simplify (i**2)**(12/5)*(i**(1/4)*i)/i*i/i**(-4) assuming i is positive.
i**(201/20)
Simplify (k**(-6)/(k/(k*k/((((k**(-2/3)*k*k)/k*k)/k)/k))*k))/((k/(k/(k**(-1)/k)))/k**(-3)) assuming k is positive.
k**(-19/3)
Simplify (k**9)**(-21) assuming k is positive.
k**(-189)
Simplify (c**24/c*c)/(c*c**5) assuming c is positive.
c**18
Simplify (b**(-1/2)/(b**(-2)/b))**(-7) assuming b is positive.
b**(-35/2)
Simplify (g/(g**16/g*g*g*g)*g)/g**(2/25) assuming g is positive.
g**(-402/25)
Simplify (m**(-1/2)*m*m**9)/(m**(-4/5)/(m**(-3)/m)) assuming m is positive.
m**(63/10)
Simplify ((x*x/x**(-3))/x)**(-4/21) assuming x is positive.
x**(-16/21)
Simplify (q*q*q**(-3)*q*q)/q**(-5/3) assuming q is positive.
q**(8/3)
Simplify ((l*l**(2/27))/(l*l**0))/((l**(-5)*l)/(l*((l*(l**7/l)/l)/l)/l*l*l*l*l)) assuming l is positive.
l**(353/27)
Simplify (h**(-11))**49 assuming h is positive.
h**(-539)
Simplify ((x*(x*x**(-1))/x)/x)**(-18/13)*((x*(x*x**(2/5)/x*x)/x*x)/x)/x**(-2/15) assuming x is positive.
x**(569/195)
Simplify (w**(-1)/w)**14*w**(-2/5)/((w*(w**(-6)/w)/w*w*w)/w) assuming w is positive.
w**(-112/5)
Simplify ((g/g**2)/((g*g**(-1/12))/g))/((g/(g/g**(-2/3)))/g)**16 assuming g is positive.
g**(103/4)
Simplify (j**5/j**(-1))/((j/(j*j/(j**0/j)))/j)**11 assuming j is positive.
j**39
Simplify (m**(-1))**38/(m/(m*m/(m/(m/(m*m**(-2/3))))*m*m*m)*m**(2/17)) assuming m is positive.
m**(-1757/51)
Simplify (k**(-3)/k)**21/((((k*k**(-1/4)*k)/k)/k)/k*(k*k**7)/k) assuming k is positive.
k**(-359/4)
Simplify d**(-18/7)*(d*d**(-32))/d assuming d is positive.
d**(-242/7)
Simplify (c*c**(1/11))/((c*(c*c**(3/8))/c)/c) assuming c is positive.
c**(63/88)
Simplify (z*z/z**1*z)**(-13)*z**1*z**(-1/5) assuming z is positive.
z**(-126/5)
Simplify d/d**17*d/((d/d**(-1/26))/d) assuming d is positive.
d**(-391/26)
Simplify ((w**(-2/3)/w)/w)/w**4*(w**(-4)*w)/w*w/w**2 assuming w is positive.
w**(-35/3)
Simplify ((y**(-2)/y)/y)**(-3/17) assuming y is positive.
y**(12/17)
Simplify (n/(n/((n*n**(1/4))/n))*n/(n*n**(-12)*n*n))**5 assuming n is positive.
n**(205/4)
Simplify (z/(z*z**0))/((z/(z*z**(-2/9))*z)/z)*z/(z/(z/(z*z**3))*z)*z**(1/2)/z assuming z is positive.
z**(-85/18)
Simplify (p**(1/3)*p*p/p**(-4/5))/(p/(p**0*p))**(1/30) assuming p is positive.
p**(47/15)
Simplify m**36/(m*m**2) assuming m is positive.
m**33
Simplify (l**0)**26*l*l**(3/2)*(l*l**(1/7))/l*l*l assuming l is positive.
l**(65/14)
Simplify (t**(2/3))**(-1/16)/((t**(-8)/t*t)/t*t**(-2/21)) assuming t is positive.
t**(507/56)
Simplify (d**4*d*d*d*(d/(d*d**(3/5)*d)*d)/d)**(-2) assuming d is positive.
d**(-54/5)
Simplify k**(-4/7)/(k*k**(-31/3)) assuming k is positive.
k**(184/21)
Simplify (a/a**27)/(a/(a*a**5*a)) assuming a is positive.
a**(-20)
Simplify (j**(1/4))**(-3/20)*j**(5/3)*j*j/j**(1/5) assuming j is positive.
j**(823/240)
Simplify ((f**(-2/5)/f)/(f*f**(3/2)))/(f*f**(-4)/f*f*f**(2/7)/f) assuming f is positive.
f**(-13/70)
Simplify (v/(v/(v/(v*(v/(v**(-4)*v))/v)))*v**(-5))**(2/103) assuming v is positive.
v**(-16/103)
Simplify (q**(-2/3)*q/q**8)**(-43) assuming q is positive.
q**(989/3)
Simplify ((m*(m**6*m*m)/m*m)/(m/((m*(m/((m*m**(-1/4))/m))/m*m*m)/m)))**18 assuming m is positive.
m**(369/2)
Simplify ((a/a**(-2))**44)**17 assuming a is positive.
a**2244
Simplify r*r**(-2/9)*r/(r/(r**(-11)/r))*r assuming r is positive.
r**(-92/9)
Simplify (r**(-6))**49 assuming r is positive.
r**(-294)
Simplify (r**1/(r*((r*r**(-3))/r)/r))/(r**(-1))**(2/11) assuming r is positive.
r**(46/11)
Simplify (j**(-1/3)*j**(-6))/((j*j**(-1/3))/(j**3/j)) assuming j is positive.
j**(-5)
Simplify ((l/(l/(l*(l*l**(-3/5)*l)/l)))/l)/(l/(l*(l/(l*l*l/((((l*l**(-12))/l)/l)/l)))/l)) assuming l is positive.
l**(-83/5)
Simplify p**4*p*p*p**(-15/4) assuming p is positive.
p**(9/4)
Simplify m**0/(m*m**(-1/2)) assuming m is positive.
1/sqrt(m)
Simplify (g/(g**5/g))/(g/(((g*g*g*g/(g/(g**4*g))*g*g)/g)/g))*g**(-3)/((g/(g**7/g))/g*g) assuming g is positive.
g**6
Simplify (s**(-4)/s**5)/(s**1)**(-25) assuming s is positive.
s**16
Simplify ((g**1*g)**(-39))**(16/7) assuming g is positive.
g**(-1248/7)
Simplify (m**(-15))**(-1/18) assuming m is positive.
m**(5/6)
Simplify (k**(-3/5)*k**2*k)**47 assuming k is positive.
k**(564/5)
Simplify x*x**(-3/13)*x**(3/11) assuming x is positive.
x**(149/143)
Simplify (l/(l*(l/((l*(l**(-1)/l)/l)/l))/l))**(-39)/(l**(1/4)/l*l)**(-3/8) assuming l is positive.
l**(3747/32)
Simplify (x**1)**16/(x**(-3/5))**(3/32) assuming x is positive.
x**(2569/160)
Simplify ((f/((f**(2/13)/f*f)/f)*f)/f)/f**(2/15)*f*f**9*f**7 assuming f is positive.
f**(3649/195)
Simplify t/t**(-1/16)*t/t**5*t/(t/((t/((t*t**(-2/9))/t))/t))*t/(t/t**(2/11)) assuming t is positive.
t**(-4013/1584)
Simplify y**(-1/5)/(y/y**(-11/6)) assuming y is positive.
y**(-91/30)
Simplify (x**(-5)/(x/x**(-3/7)))/(x**6*x**(-4/9)) assuming x is positive.
x**(-755/63)
Simplify (w/(w/(w/(w*w*w**(-2/9)))))**31*(w**(-1/2))**(-8/7) assuming w is positive.
w**(-1483/63)
Simplify (u/(u*(u**(-1/19)*u)/u))**24 assuming u is positive.
u**(24/19)
Simplify (n*n**(-2/23)*n*(n*n*(n/(n*n/n**(2/29)))/n*n)/n)**32 assuming n is positive.
n**(42304/667)
Simplify h*(h*h/(h**(2/79)*h))/h*h/h**(-1/33)*h assuming h is positive.
h**(7834/2607)
Simplify h**2/h*(h**9*h)/h*h assuming h is positive.
h**11
Simplify ((o**1*o)/(o/(o**3/o)))/(o**1)**(-7/5) assuming o is positive.
o**(22/5)
Simplify g**(-3/14)*g**10 assuming g is positive.
g**(137/14)
Simplify (a**(-6))**(-1/54) assuming a is positive.
a**(1/9)
Simplify (c**(-1/6)*c)/(((c*(c/((c**(2/13)*c*c)/c))/c*c*c)/c)/c) assuming c is positive.
c**(77/78)
Simplify (s**7)**(1/30) assuming s is positive.
s**(7/30)
Simplify w**(2/25)*w*w**(-1/10)*w*w*w assuming w is positive.
w**(199/50)
Simplify ((a*a**(-3/4)*a)/a*a*a)/a*((a*a**(-1/3))/a)/a*a**(2/3)/a**(1/9) assuming a is positive.
a**(17/36)
Simplify (r**(2/15))**31 assuming r is positive.
r**(62/15)
Simplify (z/(z/z**(1/9))*z)/(z*z**(4/7)*z*z*z) assuming z is positive.
z**(-218/63)
Simplify ((t**(-4/13)/t)/t)/(t**(2/39)*t) assuming t is positive.
t**(-131/39)
Simplify (f**(-2)*f)/f*f**17 assuming f is positive.
f**15
Simplify (y/y**(5/6))**(-32) assuming y is positive.
y**(-16/3)
Simplify ((m**(-2/7)/m)/m)**(10/11)/(m/((m*m
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the highest common divisor of 5126565 and 15?
15
What is the greatest common factor of 3034432 and 22304?
544
Calculate the greatest common divisor of 89692 and 10234.
34
What is the greatest common divisor of 546905 and 62679?
1229
What is the highest common divisor of 618 and 176826?
6
What is the greatest common divisor of 14122 and 8901?
23
What is the greatest common divisor of 2193 and 607284829?
731
What is the highest common factor of 1575 and 233293410?
315
What is the greatest common factor of 11062674 and 9387?
63
What is the greatest common divisor of 21166652 and 1747?
1747
Calculate the highest common divisor of 5098177 and 85547.
707
Calculate the highest common factor of 54360 and 36315720.
360
What is the highest common factor of 54 and 159948468?
18
What is the highest common divisor of 1602 and 42029271?
801
What is the highest common divisor of 735680 and 25232?
304
What is the highest common factor of 74396 and 3528?
28
What is the highest common factor of 4320 and 19660?
20
Calculate the greatest common factor of 1771758 and 823450.
766
What is the greatest common factor of 10061 and 3?
1
What is the greatest common factor of 15678 and 5698082?
1742
What is the greatest common factor of 1863 and 2275390?
23
What is the highest common divisor of 17828739 and 12141?
639
What is the greatest common factor of 6875 and 27467?
11
What is the greatest common divisor of 588 and 161812?
28
Calculate the highest common divisor of 189 and 15652455.
21
What is the highest common divisor of 1611 and 2269404?
9
Calculate the highest common factor of 22 and 171458342.
22
Calculate the greatest common factor of 6847430 and 22282.
1714
Calculate the highest common divisor of 1901922 and 132.
66
Calculate the greatest common factor of 840 and 4800544.
56
What is the highest common factor of 47 and 46297115?
47
What is the greatest common factor of 5649 and 46255895?
1883
Calculate the greatest common factor of 751013526 and 2568.
642
Calculate the highest common factor of 5840 and 44042360.
2920
Calculate the highest common factor of 3631824 and 864.
432
What is the highest common divisor of 376 and 6627456?
8
What is the highest common factor of 723 and 108391?
1
What is the greatest common factor of 1614981 and 1450?
29
What is the greatest common divisor of 109740441 and 3384?
141
What is the highest common divisor of 50295 and 548700?
15
Calculate the highest common divisor of 14 and 1137713871.
7
Calculate the highest common divisor of 286 and 628589.
13
Calculate the greatest common divisor of 150 and 184374.
6
Calculate the greatest common divisor of 816 and 3821244.
12
What is the greatest common divisor of 3032107 and 13?
13
Calculate the highest common factor of 214200 and 108290.
1190
Calculate the highest common divisor of 1588465816 and 532.
532
What is the greatest common factor of 14 and 24640546?
14
Calculate the greatest common divisor of 2400 and 1076850.
150
What is the greatest common divisor of 261977739 and 303?
303
Calculate the greatest common divisor of 559044 and 779673.
879
Calculate the greatest common factor of 680679 and 4611.
159
Calculate the greatest common divisor of 99176 and 2953016.
2024
Calculate the highest common divisor of 300246 and 1428858.
978
What is the highest common divisor of 1591296 and 45066?
1554
Calculate the highest common divisor of 45548985 and 639.
213
Calculate the highest common divisor of 22122800 and 1512.
56
Calculate the greatest common factor of 2214 and 9808758.
738
What is the greatest common divisor of 88672527 and 81?
9
What is the greatest common divisor of 3893 and 2502283?
229
What is the greatest common divisor of 76113 and 183024?
9
What is the highest common factor of 44866608 and 24?
24
Calculate the highest common factor of 1639803 and 33.
33
Calculate the highest common factor of 849590 and 1087772.
742
Calculate the greatest common factor of 19089 and 2569077.
189
What is the greatest common factor of 357317 and 23463?
79
Calculate the greatest common factor of 1070903 and 30199.
2323
Calculate the highest common factor of 9 and 3786678.
9
Calculate the highest common factor of 38565995 and 13.
13
Calculate the greatest common factor of 192985 and 155.
5
Calculate the greatest common divisor of 1113 and 10545993.
159
What is the greatest common divisor of 1730413 and 119?
17
What is the greatest common divisor of 38 and 66611093?
19
Calculate the greatest common factor of 1498 and 703314745.
749
What is the greatest common factor of 284 and 23164318?
142
Calculate the highest common divisor of 127195462 and 172.
86
What is the highest common divisor of 27612882 and 264?
66
What is the highest common factor of 223065 and 35?
5
What is the greatest common divisor of 31455885 and 255?
15
Calculate the highest common divisor of 725199 and 37495981.
4561
What is the highest common divisor of 150766 and 2429?
7
What is the greatest common factor of 626623 and 1?
1
What is the highest common factor of 3539058 and 4952202?
6198
Calculate the highest common divisor of 10 and 1641257790.
10
What is the greatest common factor of 639 and 1244959227?
639
What is the highest common factor of 64256 and 1072?
16
What is the highest common factor of 36329902 and 96152?
1414
Calculate the highest common divisor of 13 and 58989099.
13
Calculate the highest common divisor of 3 and 49686951.
3
Calculate the highest common divisor of 17849 and 186020905.
1373
What is the highest common factor of 51253 and 477563?
479
What is the greatest common factor of 358 and 34598194?
358
What is the highest common factor of 76047073 and 8003?
151
What is the highest common factor of 4069 and 155911873?
4069
What is the greatest common factor of 14877500 and 3300?
1100
Calculate the greatest common factor of 2240835 and 341295.
915
Calculate the greatest common divisor of 3222 and 1956330.
18
What is the highest common divisor of 5474 and 92874?
46
What is the highest common factor of 29371944 and 4032?
168
What is the greatest common divisor of 6808 and 5369810?
1702
What is the highest common divisor of 30366 and 26250?
42
What is the greatest common divisor of 46982064 and 2624?
656
What is the greatest common factor of 54128 and 4374219?
3383
Calculate the greatest common divisor of 29652 and 48033.
3
What is the greatest common factor of 112 and 3973564?
28
Calculate the highest common divisor of 64219881 and 7824.
489
What is the greatest common divisor of 48 and 72822176?
16
Calculate the highest common divisor of 2112 and 1712777.
11
Calculate the highest common factor of 3124 and 17468.
44
What is the highest common factor of 2976732 and 27522?
198
Calculate the highest common factor of 1168150 and 6100.
3050
Calculate the greatest common factor of 67982 and 2293498.
3578
Calculate the highest common divisor of 810 and 7121850.
30
What is the highest common factor of 23260 and 1852040?
20
What is the highest common divisor of 5994731 and 314?
157
Calculate the greatest common divisor of 3793 and 7648.
1
Calculate the highest common factor of 62172 and 16704.
36
Calculate the highest common factor of 7999155 and 1620.
405
Calculate the greatest common divisor of 3981635 and 1400.
35
Calculate the highest common factor of 1357839 and 26509.
49
What is the greatest common divisor of 74499 and 969?
57
What is the greatest common divisor of 8513702 and 34?
34
Calculate the greatest common divisor of 425 and 14124280.
85
What is the highest common divisor of 462 and 4168560?
66
What is the highest common factor of 41760 and 10520?
40
Calculate the greatest common factor of 278080 and 86110.
790
Calculate the greatest common factor of 1407 and 87360.
21
What is the greatest common divisor of 395 and 658843015?
395
Calculate the highest common factor of 33097 and 6049.
23
Calculate the greatest common divisor of 277800336 and 4482.
1494
What is the highest common divisor of 305915 and 26491?
59
What is the greatest common factor of 15 and 24027735?
15
What is the highest common factor of 33462123 and 9615?
1923
What is the highest common factor of 1404 and 13563966?
78
Calculate the highest common divisor of 372929 and 12767.
17
Calculate the greatest common divisor of 203938458 and
|
{
"pile_set_name": "DM Mathematics"
}
|
3156735?
3156754
What is next in -6465, -49822, -167499, -396654, -774445, -1338030, -2124567, -3171214?
-4515129
What is the next term in 106296, 422119, 947466, 1682337?
2626732
What is next in -19980, -40033, -60096, -80175, -100276, -120405, -140568?
-160771
What is next in 2744, 5231, 7718, 10205?
12692
What comes next: 2497981, 4995960, 7493941, 9991924?
12489909
What is next in 1551, 15533, 54137, 129675, 254459, 440801, 701013, 1047407?
1492295
What is next in 139627, 139576, 139507, 139420, 139315, 139192, 139051?
138892
What is the next term in 1130, 2213, 3250, 4217, 5090?
5845
What comes next: 7198999, 7199001, 7199003, 7199005?
7199007
What is the next term in 169516, 677922, 1525260, 2711530, 4236732, 6100866, 8303932?
10845930
What is next in -4139, -9129, -14123, -19121, -24123, -29129?
-34139
What is next in -395575, -793705, -1191835, -1589965, -1988095, -2386225?
-2784355
What is the next term in 2185141, 2185117, 2185089, 2185057, 2185021, 2184981, 2184937?
2184889
What is the next term in 2807393, 5614784, 8422171, 11229554?
14036933
What is next in -1218703, -2437366, -3655983, -4874554, -6093079, -7311558?
-8529991
What is the next term in -425257, -850491, -1275725, -1700959, -2126193, -2551427?
-2976661
What is the next term in 189848, 379592, 569336?
759080
What is the next term in -591, -2928, -6821, -12270?
-19275
What is the next term in -7113657, -14227316, -21340975, -28454634, -35568293, -42681952?
-49795611
What is next in 45825, 45884, 46031, 46308, 46757?
47420
What comes next: 5639, 12052, 22741, 37706, 56947, 80464, 108257?
140326
What comes next: 549738, 1099479, 1649210, 2198925, 2748618?
3298283
What is the next term in -65422, -82559, -99686, -116797, -133886, -150947, -167974, -184961?
-201902
What is the next term in -2517, -19797, -66719, -158109, -308793?
-533597
What comes next: -372, -653, -898, -1107, -1280?
-1417
What comes next: 191, -438, -1895, -4174, -7269, -11174, -15883, -21390?
-27689
What comes next: -3696, -14748, -33082, -58626, -91308, -131056?
-177798
What is next in 4982112, 19928396, 44838874, 79713552, 124552436?
179355532
What is the next term in -2028, -3947, -5910, -7917, -9968, -12063?
-14202
What is next in 150, -473, -1360, -2523, -3974, -5725?
-7788
What is the next term in 16184, 32434, 48738, 65078, 81436, 97794?
114134
What is next in 67, 469, 1665, 4093, 8191?
14397
What is the next term in -749091, -749094, -749097?
-749100
What is the next term in -295297, -590570, -885817, -1181032, -1476209?
-1771342
What comes next: -283748, -1136194, -2556938, -4545980, -7103320, -10228958, -13922894?
-18185128
What is next in -6170, -12693, -19216, -25739?
-32262
What is the next term in -214, -599, -1346, -2629, -4622?
-7499
What comes next: 1296, 2452, 3588, 4692, 5752, 6756, 7692, 8548?
9312
What comes next: -5240, -22246, -51012, -91544, -143848, -207930, -283796, -371452?
-470904
What comes next: 93320, 80929, 60278, 31367, -5804, -51235, -104926?
-166877
What is next in 632, 5506, 19114, 45944, 90484, 157222, 250646?
375244
What is next in -18058, -72225, -162512, -288919, -451446?
-650093
What is the next term in 1263181, 1263245, 1263309, 1263373?
1263437
What is next in 1193, 5055, 11425, 20249, 31473?
45043
What is next in -2897903, -11591667, -26081273, -46366721?
-72448011
What is the next term in 19909, 19275, 18217, 16735, 14829, 12499, 9745?
6567
What is the next term in 292466018, 292466021, 292466026, 292466033?
292466042
What comes next: 655102, 1309921, 1964716, 2619481, 3274210, 3928897, 4583536?
5238121
What is next in 3235582, 6471160, 9706736, 12942310, 16177882, 19413452?
22649020
What is next in -13692, -54322, -122040, -216846, -338740, -487722?
-663792
What is the next term in 47164, 95310, 143494, 191710, 239952?
288214
What is next in 7884, 22627, 37368, 52107, 66844, 81579?
96312
What comes next: 258, 180, 160, 282, 630, 1288, 2340, 3870?
5962
What is next in -484, -3462, -11418, -26830, -52176, -89934, -142582, -212598?
-302460
What is the next term in 10786, 21552, 32320, 43090, 53862, 64636?
75412
What is the next term in -970921, -1941448, -2911975, -3882502, -4853029?
-5823556
What is next in -55615, -222569, -501045, -891223, -1393283, -2007405, -2733769?
-3572555
What is the next term in -162578, -324347, -486116?
-647885
What is next in -13257, -24682, -43717, -70356, -104593, -146422, -195837, -252832?
-317401
What comes next: -3304, -3954, -4656, -5410, -6216, -7074?
-7984
What comes next: 11775, 94621, 319485, 757377, 1479307?
2556285
What is the next term in -51038992, -102077984, -153116976, -204155968, -255194960, -306233952?
-357272944
What comes next: 157665569, 157665571, 157665575, 157665581?
157665589
What is the next term in -206739, -826961, -1860665, -3307851, -5168519?
-7442669
What is the next term in -112208, -112265, -112322, -112379, -112436?
-112493
What comes next: -57501, -231025, -520233, -925125, -1445701, -2081961?
-2833905
What is next in -4122, -33040, -111460, -264132, -515806, -891232?
-1415160
What is next in -2817, -13494, -31273, -56142, -88089, -127102?
-173169
What is next in 12465784, 12465790, 12465796, 12465802, 12465808?
12465814
What is the next term in -5240, -5328, -5426, -5540, -5676, -5840, -6038?
-6276
What is next in -886517, -886584, -886651, -886718, -886785, -886852?
-886919
What is the next term in 2365, 4495, 6667, 8881, 11137?
13435
What comes next: -880, 897, 5670, 14921, 30132, 52785?
84362
What comes next: -90054, -90566, -91894, -94446, -98630?
-104854
What comes next: 158879, 158722, 158567, 158414, 158263, 158114, 157967?
157822
What comes next: -125742, -251490, -377232, -502968, -628698?
-754422
What is next in 267200, 534347, 801494, 1068641, 1335788, 1602935?
1870082
What is the next term in -14616327, -14616319, -14616299, -14616261, -14616199, -14616107?
-14615979
What comes next: -8006, -14791, -21576, -28361?
-35146
What comes next: -59162, -118166, -177192, -236252, -295358, -354522, -413756?
-473072
What comes next: -688249, -1376529, -2064827, -2753155, -3441525?
-4129949
What is next in -12010, -11466, -10610, -9436, -7938, -6110, -3946?
-1440
What is the next term in -18899, -18831, -18687, -18443, -18075, -17559, -16871, -15987?
-14883
What comes next: 1944443, 3889070, 5833697?
7778324
What comes next: -2311364, -9245459, -20802284, -36981839, -57784124, -83209139, -113256884?
-147927359
What comes next: 1550, 3176, 4806, 6440, 8078, 9720?
11366
What is next in -1063, -3093, -6931, -13489, -23679, -38413?
-58603
What comes next: -4212504, -4212501, -4212498, -4212495?
-4212492
What is next in -205, -1075, -2927, -6091, -10897, -17675?
-26755
What comes next: 2689, 5365, 8135, 11047, 14149, 17489, 21115?
25075
What is the next term in 32672474, 65344976, 98017478, 130689980, 163362482, 196034984?
228707486
What is the next term in -5489, -7501, -9513, -11525, -13537, -15549?
-17561
What comes next: 860271, 1720482, 2580639, 3440742, 4300791, 5160786, 6020727?
6880614
What comes next: 9255602, 18511200, 27766798, 37022396, 46277994?
55533592
What comes next: 1274, 2378, 3480, 4580, 5678, 6774, 7868?
8960
What is next in -76514, -152995, -229478, -305963, -382450?
-458939
What is next in -115545, -462212, -1039989, -1848870, -2888849, -4159920, -5662077?
-7395314
What is the next term in -169216656, -169216658, -169216660, -169216662, -169216664, -169216666?
-169216668
What is the next term in -537445, -2149780, -4837003, -8599114, -13436113?
-19348000
What comes next: 108917364, 217834730, 326752096, 435669462?
544586828
What is the next term in -38599, -35588, -32577, -29566, -26555?
-23544
What is the next term in -17143, -16953, -16763, -16573?
-16383
What is next in -11794952, -11794956, -11794962, -11794970, -11794980, -11794992, -11795006?
-11795022
What comes next: 4302732, 4302740, 4302748, 4302756?
4302764
What comes next: 37797, 75897, 113995, 152091, 190185, 228277, 266367?
304455
What is next in -4732, -9696, -14660, -19624, -24588, -29552?
-34516
What is next in 5028299, 5028301, 5028303, 5028305, 5028307?
5028309
What is the next term in 180, 2977, 8312, 16179, 26572, 39485, 54912?
72847
What is the next term in -18887, -75730, -170469, -303104?
-473635
W
|
{
"pile_set_name": "DM Mathematics"
}
|
*g - 3 + 4. Let u(q) = k(q) - r(q). What is u(l(o))?
64*o**4
Let q(m) = 96322*m. Let n(t) = -6*t**2. Calculate q(n(w)).
-577932*w**2
Let k(t) = 10*t**2 - 32*t - 16. Let v(l) = -3*l**2 + 10*l + 5. Let u(m) = 5*k(m) + 16*v(m). Let r(g) = g. Calculate u(r(y)).
2*y**2
Let c(u) = 377693*u**2. Let j(s) = -3*s**2. Calculate c(j(a)).
3399237*a**4
Let z(r) = -2*r + 1. Let s(d) be the second derivative of -d**3/6 - d - 14. What is s(z(a))?
2*a - 1
Let j(r) be the second derivative of -13*r**4/12 + r. Let z(d) be the first derivative of -d**2 - 9. Calculate j(z(h)).
-52*h**2
Let h(j) be the second derivative of -25*j**4/12 - 142*j. Let r(b) = 21*b**2. What is h(r(y))?
-11025*y**4
Let n(k) = 2*k**2. Let p(z) be the third derivative of 7*z**4/8 - 10*z**2. Let q(t) = -43*t. Let o(h) = 5*p(h) + 2*q(h). Calculate n(o(c)).
722*c**2
Let o(r) = -78*r**2 - 82*r**2 + 236*r**2 - 84*r**2. Let x(c) = 4*c - 2*c - c. Calculate o(x(t)).
-8*t**2
Let s(g) = 2*g**2. Let v = 9 + -12. Let z be v*(-3 - 7/(-3)). Let j(y) = -z*y**2 - y**2 + y**2 + y**2. Determine s(j(h)).
2*h**4
Let n(u) = 3228*u. Let a(k) = -12*k. Calculate a(n(l)).
-38736*l
Let s(c) = 3*c. Let f(k) = -24*k - 2. Let w(l) be the second derivative of -649*l**3/6 - 55*l**2/2 - 25*l. Let n(t) = -55*f(t) + 2*w(t). Calculate n(s(i)).
66*i
Let u(h) = -619752 + 619752 - 16*h. Let y(k) = -7*k. Determine u(y(v)).
112*v
Let r(k) = -36*k**2. Suppose -5*i = -52 + 37. Let b(w) = w**2 + 3*w**2 - i*w**2. Determine b(r(l)).
1296*l**4
Let s(t) = -5*t**2 - 2*t - 2. Let v(m) = 31*m**2 + 13*m + 13. Let f(z) = 39*s(z) + 6*v(z). Let p(o) be the third derivative of o**4/12 - 185*o**2. Give f(p(r)).
-36*r**2
Let n(c) = 18*c**2 + 13. Let t(q) = 2342*q. Calculate n(t(z)).
98729352*z**2 + 13
Let y(q) = -q. Let k(r) = 523*r. Let u be k(4). Let i(l) = -1 + u*l - 2*l**2 - 2092*l. Give y(i(g)).
2*g**2 + 1
Let a(m) be the third derivative of -m**5/60 + m**4/24 - m**3/6 + 24*m**2. Let n(o) = -3*o + 3. Let h(c) = 3*a(c) + n(c). Let y(i) = 5*i**2. Determine y(h(q)).
45*q**4
Let x(p) = -26*p**2 - 3. Let y(g) = 22*g**2 - 8*g + 8. Let j(c) = -14*c**2 + 5*c - 5. Let v(s) = 8*j(s) + 5*y(s). Determine x(v(o)).
-104*o**4 - 3
Let h(q) = q**2. Suppose -y + 3*k - 10 = 0, 0 = -2*y + 6*y + 2*k - 16. Let n(t) = 2*t**2 - 548 + 548 - 13*t**y. What is n(h(d))?
-11*d**4
Let f(a) be the third derivative of -a**5/5 - 70*a**2 + 2. Let c(p) = -10 + 10 - p. Give c(f(j)).
12*j**2
Let f(d) = 7*d**2 + 3*d**2 - 4*d**2 + 6*d**2. Let y(m) = 649 - m**2 - 649. Calculate f(y(t)).
12*t**4
Let n(k) = 1088*k**2 - 2*k + 2. Let f(u) = u. What is n(f(i))?
1088*i**2 - 2*i + 2
Let y(d) = d**2. Let m be (-1 - (-6)/4)*6. Let t(g) = -2*g - 2*g + m*g + 2*g. Determine t(y(s)).
s**2
Let p(i) = 8*i**2. Let d(y) = 75*y - 75*y - 13*y**2 + 11*y**2. Determine p(d(r)).
32*r**4
Let h(o) be the first derivative of -13*o**2/2 - 47. Let x(q) = -2*q. Calculate h(x(c)).
26*c
Let v(h) = -42402*h. Let o(t) = -2*t. Give o(v(j)).
84804*j
Let s(j) = -j**2 - j + 1. Let v(x) = 5*x**2 + 4*x - 4. Let k(r) = 20*s(r) + 5*v(r). Let o be (-5)/(-2) + 6/(-12). Let t(u) = 1 - u + o*u - 1. What is t(k(f))?
5*f**2
Let o(h) = 32*h**2. Let s(y) = 20*y**2 - 14*y + 14. Let z = 0 + 5. Let w(j) = 7*j**2 - 5*j + 5. Let m(u) = z*s(u) - 14*w(u). Determine m(o(g)).
2048*g**4
Let w(r) = 4*r. Suppose 0 = -2*x - 4*s - 25 + 7, -2*s + 21 = -5*x. Let a(z) = -7*z. Let y(g) = -4*g. Let k(t) = x*y(t) + 3*a(t). What is k(w(h))?
-4*h
Let a(z) = -26*z**2. Let l(w) be the first derivative of -2*w**3/3 - 2*w**2 - 4*w - 5. Let c(k) = -k**2 - k - 1. Let s(b) = -4*c(b) + l(b). Give s(a(u)).
1352*u**4
Let a(x) = x**2. Let l(b) be the first derivative of 9*b**3 + 109. Determine a(l(c)).
729*c**4
Let t = -55 + 89. Let k(m) = 9*m - t + 34. Let c(n) = -4*n + 4*n - n. Calculate c(k(r)).
-9*r
Let k(n) = 3*n**2 + 7*n**2 + 0*n**2 - 4*n**2 - 10*n**2. Let q(l) = -20*l**2. Calculate q(k(f)).
-320*f**4
Suppose -5*z + 50 = 4*c, 0 = -2*z - 3*z - 5*c + 45. Let h = -24 - -38. Let l(u) = -4*u + h - z. Let n(j) = j**2. Determine l(n(p)).
-4*p**2
Let x(w) = 2*w**2. Let y(z) = -z - 2. Let s(d) = -d - 3. Let c be (-5)/2 + 6/12. Let h(b) = c*s(b) + 3*y(b). Give x(h(l)).
2*l**2
Let j(a) = -a**2 + 1. Let t(q) = 4*q**2 - 5. Let m = -40 + 45. Let v(z) = m*j(z) + t(z). Let l(p) be the second derivative of -p**4/3 - p. Give l(v(u)).
-4*u**4
Let r(m) = 2*m**2. Let p(f) be the second derivative of 31*f**3/2 + 49*f. Calculate r(p(v)).
17298*v**2
Suppose 202 = 5*g - 4*x, -2*g - 2*g + 146 = 2*x. Let q(s) = -38*s + g*s - 17*s**2. Let u(v) = 2*v**2. Calculate u(q(j)).
578*j**4
Let l(a) = 2*a - 3. Let y(w) = 5*w - 10. Let b(m) = 10*l(m) - 3*y(m). Suppose 4*t - 6 = -3*o, 2 - 8 = -3*t - 3*o. Let v(x) = -x + 5*x - 2*x + t*x. Give b(v(i)).
10*i
Let v(m) = 2*m**2. Let h(d) = -d**2 + 11*d + 4. Let j be h(11). Let u(k) = -12*k**2 - 4. Let c(g) = -48*g**2 - 15. Let x(q) = j*c(q) - 15*u(q). Give v(x(b)).
288*b**4
Let x(w) = 13*w - 28. Let o(v) = -4*v + 8. Let m(n) = -7*o(n) - 2*x(n). Let c(j) = -2*j - 4. What is c(m(z))?
-4*z - 4
Let s(t) = 37788*t**2. Let a(u) = -3*u**2. Calculate s(a(j)).
340092*j**4
Let d(j) = -5 + 10*j**2 - 11*j**2 + 5. Let c(p) = -13*p**2 + 2*p - 4. Let w(r) = 53*r**2 - 9*r + 18. Let g(v) = -9*c(v) - 2*w(v). Give d(g(k)).
-121*k**4
Let x(b) = -3*b. Suppose -29*i + 27*i + 8 = 0. Let v(u) = 0*u**2 + 2*u**2 + u**2 - i*u**2. What is x(v(t))?
3*t**2
Let w(s) = -68*s. Suppose 5*f - 12*f + 252 = 0. Let p(c) = f*c - 36*c - 2*c**2. Determine w(p(u)).
136*u**2
Let c(l) = -2*l**2 - l - 4. Let m(q) = -q**2 - q - 4. Let a(h) = -4*c(h) + 4*m(h). Let k(j) = -3*j + 6. What is k(a(s))?
-12*s**2 + 6
Let n(j) = -j**3 + 13*j**2 - 2*j + 28. Let y be n(13). Let w(c) = 10*c**y - 2*c**2 - 2*c**2 - 7*c**2. Let z(g) = 0*g + 2*g**2 + 0*g. Calculate z(w(i)).
2*i**4
Let k(j) = 2*j. Let h(f) be the second derivative of -2*f**5/15 + 9*f**2 - 30*f. Let x(l) be the first derivative of h(l). What is k(x(r))?
-16*r**2
Let y(n) = -2*n + 35. Let f(u) = 3*u - 12. What is f(y(o))?
-6*o + 93
Let h be 2/(-2)*56/(-7). Let a(k) = -7*k - h*k + 21*k. Let j(t) be the second derivative of t**3/6 - 13*t. What is j(a(x))?
6*x
Let q(p) = 32*p**2. Let i(m) = -3*m**2 + 4. Determine i(q(c)).
-3072*c**4 + 4
Let l(j) = 10*j**2. Suppose 43*d = 35*d + 24. Let n(v) = -v + 7. Let m be n(5). Let y(o) = -2*o**2 - 2*o**m - d*o**2 + 6*o**2. What is y(l(t))?
-100*t**4
Let s(t) = 14*t**2 - 26*t**2 + 10*t**2. Let u(f) = 7*f**2 + 36*f. Give u(s(k)).
28*k**4 - 72*k**2
Let b(c) = -21*c. Let l(i) be the first derivative of 5*i**4/24 - i**2 - 30. Let g(d) be the second derivative of l(d). Determine g(b(y)).
-105*y
Let z(c) = 158544*c**2. Let w(x) = x. Calculate w(z(y)).
158544*y**2
Let g(u) = -318*u - 1. Let z(a) be the second derivative of -a**4/12 + 120*a. Calculate g(z(p)).
318*p**2 - 1
Let j(u) = -2*u. Let s(t) = t + 1. Suppose 0 = g + 7*g + 8. Let b(y) = 42*y + 63. Let r(o) = g*b(o) + 63*s(o). Calculate r(j(p)).
-42*p
Let b(y) be the third derivative of 0*y**3 + 0*y + 0*y**4 + 1/30*y**5 + 4*y**2 + 0. Let n(z) = 35*z**2. Determine n(b(v)).
140*v**4
Let k(w) = -31*w**2 + 95*w**2 - 36*w**2 - 25*w**2. Let x(o) = 53*o**2. What is k(x(l))?
8427*l**4
Let k(u) = -574*u + 17. Let t(s) = -6*s**2. Calculate k(t(y)).
3444*y**2 + 17
Let r(k) be the first derivative of -k**2/2 + 164*k + 34. Let u(t) = t. Give r(u(w)).
-w + 164
Let k(h) = -126*h. Let a(q) = -6*q**2 + 38*q. Give a(k(p)).
-95256*p**2 - 4788*p
Let w(l) = 57*l**2 + 2*l + 3. Let c(q) = -63*q**2 - 3*q - 4. Let h(v) = -2*c(v) - 3*w(v). Let u(b) = 0*b - b + 0*b. Determine u(h(a)).
45*a**2 + 1
Let x(l) = l**2. Let j(r) be the second derivative of -16*r + 0*r**3 - 1/12*r**4 + 0*r**2 + 0. Calculate j(x(o)).
-o**4
Let d(z) = 7*z**2. Let u(w) be the first derivative of 12*w**2 + 36. Determine d(u(g)).
4032*g**2
Let i be (1/2*(24 + -24))/(-2). Let a(u) be the third derivative of u**2 + 1/10*u**5 + 0 + 0*u + 0*u**3 + i*u**4. Let v(o) = o. Give a(v(y)).
6*y**2
Let u(p) = p**2 - 16*p + 63. Let h be u(9). Let y(g) be the third derivative of 3*g**2 + 7/24*g**4 + 0*g + h + 0*g**3. Let j(n) = n. Give j(y(l)).
7*l
Let i(y) be the first derivative of y**4/4 + 8*y - 13. Let c(f) be the first derivative of i(f). Let k(o) = 3*o. Give c(k(g)).
27*g**2
Let j(u) = -268 - 17*u**2 + 268 + 5*u**2. Let q(d) =
|
{
"pile_set_name": "DM Mathematics"
}
|
f o?
False
Let i = 12 + 4. Let o = i - 3. Suppose -4*y = 2*l - 78, -2 - o = 5*l. Is 21 a factor of y?
True
Let d be 1/((-5)/(-4) - 1). Suppose d*s - 148 = -52. Is 12 a factor of s?
True
Let n(v) = -v + 7. Suppose 3*k - 1 - 8 = 0. Is n(k) a multiple of 2?
True
Suppose 2*q - 6*q + 215 = 3*n, 0 = 3*n - q - 190. Suppose 9*a = 4*a + n. Is 12 a factor of a?
False
Suppose 4*t - t - 51 = 0. Does 10 divide t?
False
Let k = 7 - 4. Suppose 6*y = k*y + 48. Is 8 a factor of y?
True
Suppose -3*o + 5*o + 5*u = -64, -3*o + 5*u = 146. Let r be (-12)/(-9)*o/(-4). Suppose 5*d - 9 - r = -3*g, 0 = d + 5. Is 10 a factor of g?
False
Let q(v) = v**3 - 6*v**2 - 2*v + 3. Is 19 a factor of q(7)?
True
Let z = 1 + 1. Let w(b) = 0 - 2 + 8*b - 3 + 2. Is w(z) a multiple of 7?
False
Let p(x) be the second derivative of x**5/20 + 2*x**4/3 + x**3/2 + 3*x**2 - x. Is 10 a factor of p(-7)?
False
Let b(h) = h**2. Let o = -12 - -11. Let c be b(o). Is 6 a factor of 12 + (c + 3 - 3)?
False
Does 6 divide 6/(-4)*(-260)/15?
False
Suppose 2*c + 0*c + 6 = 0. Let f be (-2 - 0) + (2 - c). Suppose 0*k - 66 = -f*k. Does 22 divide k?
True
Let n be (2/4)/((-10)/900). Let h = 29 - n. Is h a multiple of 16?
False
Let b(q) = 41*q**2 + q - 1. Let s be b(2). Suppose 3*l + 54 = -z + 2*z, -4*z = 5*l - s. Does 9 divide z?
True
Let s = -3 + 11. Is s a multiple of 6?
False
Suppose 0 = -0*l + 5*l - 20. Suppose -2*q + 6 = 0, l = 3*k - 4*q + 1. Suppose -b + 2*u - 3*u = -30, 114 = k*b - 4*u. Does 18 divide b?
False
Let a be 26 + (0/(-1))/(-2). Suppose -a = -d + 11. Suppose 0 = 2*n + h - 2*h - 31, -3*h + d = 4*n. Does 8 divide n?
False
Let n(x) = x + 12. Let v be n(0). Let o = v + -19. Is 38/4 - o/(-14) a multiple of 3?
True
Does 2 divide (-390)/(-33) - 8/(-44)?
True
Let m = 2 - 2. Suppose -2*h = -0*v - v - 89, h - 2*v - 40 = m. Does 17 divide h?
False
Let f(h) = -4*h + 5. Does 7 divide f(-11)?
True
Suppose -5*t + 4*c - 45 = 0, 4 = -t - 2*c - 19. Let d = -6 - t. Is 3 a factor of d?
False
Let i = 20 - 30. Suppose 16 + 64 = 5*c. Let k = i + c. Is k a multiple of 3?
True
Suppose -r - 200 = -6*r - 5*n, 2*r - 74 = 4*n. Is 13 a factor of r?
True
Let u(w) = w - 1. Let f(q) = 42*q - 63. Let b(j) = 2*f(j) - 126*u(j). Suppose 1 + 0 = -o. Does 21 divide b(o)?
True
Suppose 4*w - 3 = -5*r, -5*r + 2*w - 4 = -25. Does 15 divide 3 + (r - 1*-15)?
False
Let c = 119 + -104. Does 2 divide c?
False
Suppose -10 = 3*z + 8. Is 6 a factor of (z/8)/((-4)/64)?
True
Let g(n) = n**3 + 7*n**2 - n - 4. Does 16 divide g(-4)?
True
Suppose o + 86 = 2*q + 3*o, -172 = -4*q - 2*o. Is q a multiple of 18?
False
Suppose 2*r + 41 = 4*u + 3*r, -r = 2*u - 23. Is u a multiple of 9?
True
Let q = 5 - -13. Does 9 divide q?
True
Let z = 8 + 158. Does 32 divide z?
False
Let m(f) = 4*f - 5. Let r = -16 + 20. Is m(r) a multiple of 4?
False
Let x be (-3 - -1 - -5) + 3. Let j = 20 + x. Is j a multiple of 13?
True
Suppose -n + 2 = 1. Suppose 0 = -v + 31 + n. Does 12 divide v?
False
Let h(z) = 25*z - 17. Is 11 a factor of h(9)?
False
Let y(i) = -i**2 + 6*i + 3. Let m be y(6). Suppose m*l + 1 = -5. Is 6 a factor of (-9 - 1)/l*3?
False
Let d(r) = r**3 + 11*r**2 - 2*r + 11. Let b be d(-9). Let a = -100 + b. Is 22 a factor of a?
False
Let s = -534 + 784. Does 25 divide s?
True
Suppose 3*z + h + 3 = -2*h, -14 = 2*z - 2*h. Let g be (-1)/z - 28/(-16). Suppose -15 = -g*u - 5. Is u even?
False
Suppose 3*b = 6*b - 99. Suppose 3*y + p - 143 = 0, p - 6 = -2*p. Let l = y - b. Is l a multiple of 14?
True
Let m = -2 - 0. Does 9 divide (m/4)/(2/(-72))?
True
Suppose y - 3*x = -0*x + 13, 0 = 4*y - x - 30. Suppose 0 = r - y + 1. Is r a multiple of 3?
True
Does 16 divide 15/6*(-34)/(-5)?
False
Suppose -5*w + 6*w - 68 = 0. Is w a multiple of 9?
False
Let n(j) = -j**3 + 0*j + 2*j - 2*j - 3 + 5*j**2 - 2*j. Does 5 divide n(4)?
True
Let s = 16 + 20. Is s a multiple of 12?
True
Suppose 3*w - 8 = 5*f + 14, 0 = 5*w + 2*f - 16. Let i(p) = -27*p. Let a be i(w). Is 16 a factor of ((-1)/2)/(2/a)?
False
Is 6 a factor of (-1)/((82/42 + -2)*3)?
False
Suppose -4*o - 16 = 0, 0 = 3*i + i + 3*o - 80. Suppose -i + 3 = 2*z. Let h = 2 - z. Is h a multiple of 6?
True
Is 13 a factor of 1/(587/(-147) + 4)?
False
Suppose -3*l - 2*l = -5*k + 250, -3*k + 5*l = -146. Is k a multiple of 13?
True
Suppose 96 - 17 = 5*y - 2*u, 0 = -y - u + 13. Does 11 divide 208/6 + (-10)/y?
False
Let x(n) = 3*n**2 - 6*n + 15. Is 34 a factor of x(9)?
True
Let d(i) = i**2 - 4*i - 6. Is d(6) a multiple of 3?
True
Is (0 + (-49)/3)/((-15)/90) a multiple of 11?
False
Let w(y) = y**2 - 9*y - 5. Is 31 a factor of w(12)?
True
Let o(a) = -a + 9*a**2 + 8*a + a**3 - 3 + 0*a - 2*a. Does 20 divide o(-7)?
True
Suppose 0 = -u + 2*b + 74, 0 = -4*u + b + b + 308. Does 12 divide u/5 + (-8)/(-20)?
False
Suppose 4*x + c - 22 = 0, -2 = -3*x + 3*c + 7. Suppose a - x*z = 2*a - 55, -3*a - 2*z + 178 = 0. Is 13 a factor of 7*(a/7)/2?
False
Let q(y) = y**2 + 2*y + 1. Let s be q(0). Let k(d) = 3*d + 4*d + 20*d**3 - 6*d. Is k(s) a multiple of 7?
True
Let f(s) = -2*s**3 - 4*s**2 + 5*s - 2. Let k be f(-4). Suppose 0*b - 4*b = h - k, -3*h + b + 61 = 0. Is h/6 - (-2)/6 even?
True
Suppose 1 = -3*p - 8. Let i(t) = -t**3 - t**2 - 2*t - 7. Let c(m) = -1. Let y(j) = -3*c(j) + i(j). Does 11 divide y(p)?
False
Suppose -3 - 7 = -2*p. Suppose -p = -h + 8. Is 11 a factor of h?
False
Suppose 0 = 2*g - g - 14. Suppose 4*x - g + 6 = 0. Is ((-9)/12)/(x/(-8)) a multiple of 3?
True
Let a(r) = r**3 + 2*r**2 - 2. Let f be a(-2). Let d = f - -4. Suppose d*u = -u - 3*c + 39, 3*u - 45 = -c. Does 7 divide u?
False
Let z(l) = 13*l**2 + 1. Is 7 a factor of z(-1)?
True
Let n(x) be the first derivative of 6*x**2 - 9*x + 1. Does 12 divide n(6)?
False
Let m(o) = o**3 - o**2 + 17*o - 19. Is 23 a factor of m(7)?
False
Let v(l) = 11*l**3 - l**2 - l + 1. Let p = -5 + 4. Let d be (-1)/(-2)*(1 - p). Is 5 a factor of v(d)?
True
Let u = -16 + 22. Suppose -i + 5*k - 25 = 0, 0*i = -4*i - 2*k - 166. Does 10 divide u/(-15)*(i - 0)?
False
Let c = 13 + -11. Suppose -c*t + 55 = 21. Is t a multiple of 7?
False
Suppose 2*u - 3*u + 182 = 0. Does 14 divide u?
True
Suppose -3*i = -6, 4*v - 3*i - 278 = -0*i. Does 15 divide v?
False
Let q = -82 + -96. Let b = -93 - q. Suppose -3*a - 2*a + b = 5*x, -2*a + 22 = -4*x. Is a a multiple of 5?
True
Suppose 5*c - 3*x = -82, 0 = 5*c + x + 108 - 42. Let k(b) = 2*b + 23. Let y be k(-6). Let z = y - c. Does 25 divide z?
True
Suppose 4*z - 65 = -21. Suppose -z = -2*i - i + 5*n, -6 = -2*i + 4*n. Suppose -2*v = -i*v + 160. Is 17 a factor of v?
False
Let v(d) = 3*d**2 - 2*d + 2. Let i(g) = 3*g - 1. Let z be i(1). Suppose 3*b + c = 2*b - z, 18 = 5*b - 2*c. Is 10 a factor of v(b)?
True
Let g = 21 + -2. Let j = -12 + g. Does 7 divide j?
True
Let j = -2 - -8. Let b be 4 - j - (-20)/1. Let f = b + -7. Is f a multiple of 4?
False
Suppose -3*f - 2 = -s, -2*s = 4*f - 2*f - 4. Suppose f = 6*g - 2*g - 104. Is g a multiple of 9?
False
Let a = 6 + -4. Does 7 divide (21/6)/(a/4)?
True
Suppose -4*a = -v - 2*v - 4, -a + 2*v = -6. Suppose 10*s = 15*s. Does 2 divide -1 + s - a*3?
False
Suppose -b = b. Does 5 divide 7 + -1 + b + 1?
False
Let r(m) = m**2 - 55. Let i be r(0). Let x = i - -84. Is x a multiple of 8?
False
Let t = 4 - 8. Let i be (-11 + t)*(-4)/6. Suppose 13 = p - i. Is 12 a factor of p?
False
Is (-3)/2 + (-3)/6 + 160 a multiple of 15?
False
Let x = -19 + 87. Suppose 0 = -2*j - 2*j + x. Is j a multiple of 4?
False
Let b be 2*-4*2/(-4). Suppose -14 + b = -u. Is 3 a factor of u?
False
Let d(f) = -2*f - 15. Let w be d(-9). Suppose -w*l + 8*l - 26 = -2*b, 3*l = -b + 16. Is 2 a factor of l?
True
Let x(c) = -c - 8. Let k be x(-11). Let z = 146 - 102. Is (k/6)/(2/z) a multiple of 10?
False
Suppose -2*r + 6*r = 0. Suppose -2*h + r*h + 84 = 0. Is h a multiple of 15?
False
Suppose 324 = 2*j - j. Does 20 divide j?
False
Let f = 27 + -42. Let r = 27 + f. Is r a multiple of 12?
True
Let k(c) = 3*c**2 + 10*c - 19. Does 28 divide k(-9)?
False
Let l be 4 - (-2 + 3) - -1. Let s(o) = o**2 - 5*o + 4. Let a be s(l). Is 11 a factor of (-2 - 6)*-4 + a?
False
Suppose 0*r + 7*r - 112 = 0. Does 6 divide r?
False
Suppose 0*a + 24 = 3*a. Suppose 1 - 16 = -b. Let r = b - a. Is r a multiple of 7?
True
Suppose m + m - 8 = 0. Let l(o) = o**3 - 3*o**2 + o + 4. Does 12 divide l(m)?
True
Let c(u) = -u**3 - 10*u**2
|
{
"pile_set_name": "DM Mathematics"
}
|
the second smallest value in o, s, 4?
o
Let p = -757.1 - -757. Which is the second biggest value? (a) 12/17 (b) p (c) -2/3
b
Let i = 4.61 - 7.61. Which is the second smallest value? (a) -3/4 (b) -0.2 (c) i (d) -17
c
Let l(v) = 2*v**2 - 22*v - 297. Let n be l(18). Which is the second biggest value? (a) 2 (b) n (c) -2/7
c
Let z = -234 + 233.758. Let o = -0.042 - z. What is the third biggest value in 0.5, -0.3, o?
-0.3
Let v = 2/15 + -1/3. Let f = -1168/3 - -389. Which is the fourth biggest value? (a) v (b) -1 (c) f (d) -4/13
b
Let x = 0.002 + 1.998. Let y = 34 + -15. Suppose -2*f + 5*f + 2*r = -y, -4*f - 5*r - 30 = 0. Which is the smallest value? (a) f (b) -0.5 (c) x
a
Let j(r) = -r + 3. Let v be j(-4). Let g = -60 - -65. Which is the biggest value? (a) g (b) v (c) -2
b
Let t(x) = -x**3 + 5*x**2 + 5*x + 2. Let h be t(6). Let o = -341.4 - -341. What is the third biggest value in 0, h, o?
h
Let d = -6/5 - -31/30. What is the fourth smallest value in 3, 5/8, 1/2, d?
3
Let v = -56 + 61. Let c be 6 - (1 + v + -3). What is the third biggest value in c, 2/7, -2/13?
-2/13
Suppose 4*m + 19 = -41. Let b = 7 + m. Let z = -2.59 + 2.89. What is the second smallest value in b, -2/9, z?
-2/9
Let h = 120 - 119.5. Which is the fourth smallest value? (a) -5 (b) h (c) 0 (d) -0.5
b
Let b = 2/39 - -68/195. Let z(w) = w**2 - 4*w - 3. Let v be z(4). Let i be v/(-8)*8/12. What is the smallest value in i, b, -2/7?
-2/7
Let t = 0.1605 - 0.4605. What is the second biggest value in t, -4, -126?
-4
Let o = 18.4 - 3.4. Let u = o + -15.02. Let m = u + -0.18. Which is the second biggest value? (a) 2 (b) -2 (c) m
c
Let v = 127 + -127. What is the third smallest value in -0.4, v, -0.01?
v
Let r = 0.272 - -2.728. What is the third biggest value in -3, 4, r?
-3
Suppose -2*z = 9 + 129. Let p be 157/210 - (-23)/z. Let r = p + 3/35. Which is the second biggest value? (a) 0.2 (b) 3 (c) r
c
Let g = -4 + 2. Suppose -3*m - n = -25, -n + 0 = 2. Let d be (-33)/m - (-1)/(-3). What is the second biggest value in 0.2, d, g?
g
Let w = -26515 + 159547/6. Let q = w + -76. What is the second biggest value in 2, -3, -1, q?
q
Let v(x) be the second derivative of -11/6*x**3 + 0 - 4*x**2 - 8*x - 1/12*x**4. Let q be v(-10). Which is the biggest value? (a) 2/3 (b) q (c) -1
b
Let s = 86 + -75.1. Let w = 13 - s. Let h = -2.3 + w. Which is the third biggest value? (a) h (b) -5 (c) -3
b
Let v = -41/5 + 789/95. Which is the second smallest value? (a) 1 (b) -2/7 (c) v
c
Let q = -157 - -222. Let x = 60 - q. Let h = 4 + 0. What is the second biggest value in h, -3, x?
-3
Let s = -11 - -13. Let x be s/(-5) + (-1734)/(-585). Let t = -42/13 + x. What is the third biggest value in t, 1, 0.5?
t
Let j = -55/6 - -727/78. Let i = j - 40/91. Which is the smallest value? (a) 5 (b) -0.3 (c) i
b
Let b = -12 + -40. Let v = 47 + b. What is the biggest value in -0.5, 2/15, v, 10?
10
Let l = 63 - 220. Let p = -1101/7 - l. Which is the second smallest value? (a) -5 (b) 5/2 (c) p (d) 0.3
c
Let d be 4*109*(-8)/(-32). Suppose -4*y + o = -2*o - d, 4*o = 20. What is the smallest value in y, 2, 4/9?
4/9
Let q = 126 - 125.84. Let r = 0.04 + q. Let l be (-4)/6*6/14. Which is the third biggest value? (a) 4 (b) r (c) l
c
Suppose -2*z = -0*z + 6*z. Which is the fourth smallest value? (a) 47 (b) -1/5 (c) z (d) 4
a
Let h = -6.6 - -9.6. Let k = -0.4 - -2.4. What is the third biggest value in h, k, 0.2, -0.2?
0.2
Let q = 70 - 69.95. Let o = q + -0.45. Let r = 5 + -10. Which is the second biggest value? (a) o (b) r (c) -3
c
Let a = -28/11 + 174/77. What is the third smallest value in -2/23, a, 0.1?
0.1
Let o = -0.126 - -0.126. Which is the third biggest value? (a) -0.5 (b) -0.11 (c) o
a
Let n = -14/649 + 12/59. Let q = 162 + -1136/7. Which is the second smallest value? (a) -0.2 (b) q (c) -4 (d) n
b
Suppose -51 = 6*t + 21. Let i be (1/2)/((-1)/2*t). Which is the third biggest value? (a) i (b) 0.5 (c) 3
a
Suppose 0 = 3*u - 4*y - 9 - 83, 5*u + y - 115 = 0. Let s be ((-4)/u)/(8/80). Which is the third smallest value? (a) 0.3 (b) 2/17 (c) s
a
Let g = -31 + 31.5. Let v = 1.8 + -0.5. Let s = v - 1.2. What is the third biggest value in g, s, 2/7?
s
Let r = 149 + -149.07. Which is the biggest value? (a) r (b) 5 (c) 0.5
b
Let m = -0.16 + 1.16. Let v = -0.35 + -0.05. Which is the third biggest value? (a) v (b) 1.8 (c) m
a
Let v = -895 - -8057/9. What is the biggest value in v, -77, 1?
1
Let f = -162 - -161.95. Suppose 4*z - 12 = -2*z. Which is the second biggest value? (a) -0.4 (b) f (c) z
b
Let p = -121/225 - -7/75. Let y = p - -2/3. Let d = -2 - -4. Which is the second smallest value? (a) d (b) -5/4 (c) y
c
Let p = -6 + -12. Let m = 17.7 + p. Let o = 6.1 - 5.9. What is the biggest value in o, m, 4?
4
Let x = -0.03 - 1.97. Let p = 395/582 + 15/97. Which is the smallest value? (a) x (b) p (c) 0.3
a
Let c = 44 - 33. Let f be (13 - c)*(-2)/(-1). What is the smallest value in -1/2, f, 2/9?
-1/2
Let k(f) = -f**3 - 8*f**2 - f - 4. Let t be k(-8). Suppose -z = -2*z - 2. Let a = 73 + -73.5. What is the second smallest value in z, a, t?
a
Let l = -379/2 - -190. Which is the second biggest value? (a) 0.03 (b) -3/4 (c) l (d) -4
a
Let h = 1430 + -1430.11. Suppose -b + 4 - 2 = 0. What is the smallest value in h, b, -4?
-4
Let f be (-2)/40*2*(-23)/(-23). Which is the fourth biggest value? (a) 1/3 (b) 17 (c) -2/13 (d) f
c
Let x = -77 + 537/7. Which is the second biggest value? (a) 0.4 (b) x (c) -0.1 (d) 0.5
a
Let b = -528/5 - -106. Let z = -21 - -26. What is the third biggest value in b, -1, -0.1, z?
-0.1
Let d = 1.1 - 1. Let z = -22.69 - 0.31. Let g = 26 + z. What is the third smallest value in g, d, -5?
g
Let s = 3.5 - 3. Suppose -118 + 156 = -19*n. Let o = -4 + -1. What is the smallest value in s, o, n?
o
Let m(s) = 10*s + 200. Let k be m(-20). Which is the third biggest value? (a) 3 (b) k (c) -12 (d) 1
b
Let m = 17.8 + -18.3. Which is the smallest value? (a) 0.28 (b) m (c) 0.2
b
Let z = -189.5 + 13.5. Let c = -174 - z. What is the biggest value in 2/11, c, 1?
c
Suppose 2 + 1 = -3*z. Which is the second biggest value? (a) 5 (b) z (c) -2/5 (d) 0.2
d
Let l = 0.2 - -0.3. Let n = 101 + -53. Let s = n + -50. Which is the second biggest value? (a) s (b) 4 (c) l
c
Let m be 2*((-15)/(-40))/(-3). Let t = -2/67 + -191/335. What is the smallest value in 0.4, -2, m, t?
-2
Suppose 11 = 4*w - 17. Let j be 4/(-6) + w/24. Let o(z) = 13*z - 75. Let h be o(6). What is the smallest value in h, 2, j?
j
Let t = -944.07 + 966. Let l = t - 22. What is the third smallest value in 2/9, -0.3, l?
2/9
Let o be 14/(-4)*(-13 + 15). Let n(z) = -z - 7. Let a be n(o). Suppose 6 = -3*v - 0*v. What is the second smallest value in v, a, -3?
v
Let y be (-4)/12*2/(-6). Let s = -7.8 + 7.6. Let w = 1 - 2. What is the second biggest value in s, w, y?
s
Let n = -5 - -2. Let l = -0.179 - 0.221. What is the second smallest value in l, 0.5, n?
l
Let j = -12 - -37. Let p = j + -19. Let n = p + -15. Which is the biggest value? (a) 3 (b) 1/2 (c) n
a
Let w(f) = f**3 + 5*f**2 - 6*f + 4. Let p be w(-6). Let l be (3/54*2)/1. Let k = 243 + -246. Which is the second biggest value? (a) p (b) l (c) k
b
Let f = 129 - 162. Let r = -38 - f. Which is the third biggest value? (a) -1.4 (b) r (c) 1/3
b
Let o = -0.9 - 0.1. Let x = -3/346 - -270/1211. Let w = x + -29/70. What is the biggest value in w, 3, o?
3
Let f = -11 + 15. Suppose -3*q = -2*u, 0*q + u - 3 = 3*q. Let w be 0/q - 4/(-10). Which is the smallest value? (a) -1 (b) w (c) f
a
Let s = -37 + 34. Let h = s - -6. Which is the second biggest value? (a) h (b) -1/5 (c) -8
b
Let f = -796/3 - -265. Which is the third biggest value? (a) -27 (b) f (c) 0 (d) 2
b
Let v = 56 - 113. Let z be (-231)/v - ((-3)/(-1) + 1). Which is the third biggest value? (a) z (b) -1 (c) 0.3
b
Let l = -194 - -2524/13. Let q = -1204 + 46949/39. Let z = l - q. What is the third biggest value in z, 1, -0.1?
-0.1
Let d be (-9)/7 - (-2 - -1). Suppose 9*s = 319 - 247. What is the third biggest value in d, s, 0.1?
d
Let s(t) = 2*t - 1. Let k be s(2). Suppose 4*n + 12 = 0, -31 = -5*h - 3*n - 0*n. Suppose 5*q + 12 = h*q. Which is the biggest value? (a) 5/2 (b) q (c) k
|
{
"pile_set_name": "DM Mathematics"
}
|
is the nearest to -2646? (a) 0.3 (b) -0.2 (c) -4 (d) -0.5
c
What is the closest to -105 in -1/2, 1, 39/5?
-1/2
What is the closest to 0 in 4, 19441, 0.1?
0.1
Which is the closest to 0.12? (a) -42.4 (b) -4/3 (c) -0.4 (d) -2/9
d
Which is the nearest to -0.1? (a) 7 (b) 1 (c) -9885
b
What is the closest to -1 in 1/2, -60.365, 0.4?
0.4
Which is the nearest to 0? (a) -0.512 (b) -6 (c) -2 (d) -0.17
d
What is the closest to 983 in 2/15, 4, 9, 1?
9
What is the closest to -48 in -525, -5, 0?
-5
Which is the nearest to -168/11? (a) -2/3 (b) 3 (c) 1 (d) 0
a
Which is the nearest to -33? (a) 17 (b) -76 (c) 5/2
c
What is the closest to 2/7 in -0.5, -2/7, 57/2, 2?
-2/7
What is the closest to -26 in -0.4, 761, -3?
-3
What is the nearest to 4 in 0.3, 74, -15, 0.4?
0.4
What is the nearest to -1 in 0.4, 612/37, 1/7?
1/7
What is the nearest to 0 in -3, -5, 1/2, 5/1236?
5/1236
Which is the closest to 0.5? (a) -0.019 (b) 1/5 (c) -3/65
b
What is the nearest to -2 in -72/47, -1/9, 0.02?
-72/47
Which is the nearest to -36? (a) -4 (b) 3/7 (c) -0.1
a
Which is the closest to -0.1? (a) -861 (b) -2/29 (c) -13
b
Which is the closest to -0.296943? (a) -0.4 (b) -3 (c) -5
a
Which is the closest to 2? (a) -0.5 (b) -0.05 (c) -103/5 (d) -0.7
b
What is the closest to 0.6 in 3/13, -0.5, 0.17, -1?
3/13
What is the nearest to -3/8 in 1, 4/19, 3/7, -19?
4/19
What is the closest to -2 in 2/45, -5/3, 6237?
-5/3
Which is the closest to 0.18? (a) 1/11 (b) 10.7 (c) 2
a
What is the closest to -2 in 4, 1, -3/46?
-3/46
What is the closest to -12 in -0.05, -10, 1, 0.02, -0.5?
-10
Which is the closest to -1? (a) 1887 (b) 0.6 (c) -0.5
c
Which is the closest to 1/2? (a) 1 (b) -212 (c) -4 (d) -0.07 (e) -1
a
What is the nearest to 19/50 in -1, 0, -0.345?
0
Which is the nearest to -5? (a) -3/709 (b) 4 (c) -0.1 (d) -6/11
d
Which is the closest to -0.7? (a) -2/13 (b) -0.3 (c) -6 (d) 5
b
What is the nearest to -1/3 in -0.5, 9/2, 0.3, 37/4?
-0.5
What is the closest to 11 in -15, -1/5, -2/7, -6?
-1/5
Which is the closest to -2/5? (a) -0.1 (b) -25 (c) -10429
a
Which is the closest to 1153? (a) 0.5 (b) -2/25 (c) -1/3
a
Which is the closest to -0.1? (a) 0.4 (b) -1/136 (c) 1/4 (d) 0.3 (e) -0.1
e
What is the nearest to -663 in 5, 0.3, -2/5, 1.6, 0?
-2/5
Which is the nearest to 14822? (a) -1 (b) -5/4 (c) 3/5
c
Which is the closest to -1.4? (a) 0.5 (b) -929 (c) 1/3 (d) 4
c
What is the nearest to 1/4 in 0.0845, 2/11, -0.2?
2/11
What is the closest to 0.16 in 3, 1/4, 0, 1/11, 12?
1/11
What is the closest to -2/3 in 1/286, -1, 1/9?
-1
Which is the closest to -0.0059? (a) 4 (b) -18 (c) 2 (d) -5
c
What is the nearest to -1/2 in -5, 0.1, 86, -2/7, 5?
-2/7
Which is the nearest to -0.1? (a) -5/6 (b) -0.5 (c) -6/97
c
What is the closest to 0 in -1, 11, 8, 9?
-1
What is the nearest to 4 in 0, -2478, 0.3, -2, 12?
0.3
What is the nearest to -5 in -0.0341, -2, 1, 59?
-2
What is the closest to 3/5 in -2/9, -2, 871, -3/2?
-2/9
Which is the nearest to 2/7? (a) -0.3 (b) 2 (c) -3 (d) -0.036
d
Which is the nearest to 0.2? (a) -13/2 (b) 1/7 (c) 5/4 (d) 590
b
Which is the nearest to 0.26? (a) -2/11 (b) -33 (c) 2
a
Which is the closest to -73? (a) -1 (b) -2 (c) 2/97
b
Which is the nearest to 0? (a) 547 (b) -2/1301 (c) 0.3
b
Which is the nearest to 4? (a) 0.655 (b) 1/2 (c) -0.3
a
Which is the closest to 0.1? (a) -2/11 (b) -0.1 (c) -3.5 (d) 1 (e) -432
b
Which is the closest to 0.06? (a) -0.4 (b) 107 (c) -8/7
a
What is the closest to 2 in -2/27, -5, -19, 1?
1
What is the closest to -0.1 in -1, 3, -7, 61?
-1
Which is the nearest to -6? (a) -0.2 (b) -51.47 (c) 0.2
a
What is the nearest to 1/2 in 0.4, 3, -41792?
0.4
Which is the nearest to -1/17? (a) -2 (b) -3 (c) -979
a
What is the nearest to -2079/1405 in 3, 1, 5?
1
What is the nearest to -2/7 in -1/3, 4, 209?
-1/3
Which is the nearest to 0? (a) -3 (b) 4/3 (c) -12 (d) -1 (e) -0.02
e
Which is the nearest to 0.057? (a) -3/2 (b) -0.01 (c) 2 (d) -2 (e) 1
b
What is the closest to -0.3 in -2/5, 5, -3938?
-2/5
Which is the nearest to 539? (a) -0.01 (b) 7 (c) -1
b
What is the nearest to 2/3 in -5/7, 0.4, -46?
0.4
Which is the closest to 2/39? (a) 4 (b) -4/11 (c) -3 (d) -2/5 (e) 1/13
e
Which is the nearest to 2/3? (a) 16 (b) 0.5 (c) 0.2 (d) 751
b
Which is the nearest to -3? (a) 14 (b) 211 (c) 1/7
c
What is the closest to 2/19 in -2/5, 46, 0, -0.3?
0
What is the nearest to 2/5 in -4747, -3, 1/4?
1/4
Which is the nearest to -1/5? (a) -39 (b) -3 (c) -2/11
c
Which is the closest to -1? (a) -1/5 (b) 2/7 (c) -0.52637
c
What is the nearest to 2/5 in -30, 129, 0.2, 22?
0.2
What is the nearest to 2/5 in 0.15, -0.2, -1/3, -387, 0.4?
0.4
Which is the closest to 2/9? (a) 0 (b) -0.11 (c) -22
a
What is the nearest to -0.1 in -1, -1.6, 0.4, -2/11, -0.048?
-0.048
What is the closest to 0 in -27.9, 278, 0, 5?
0
Which is the nearest to 3/55? (a) 8 (b) 1/9 (c) 4 (d) -4/7
b
Which is the closest to -0.1? (a) 1/2 (b) -48/7 (c) -0.1634
c
What is the nearest to 0 in -4, -3/4, 0.2, 147/11?
0.2
Which is the closest to 0.13? (a) 3 (b) -24/11 (c) 8
b
Which is the closest to -400? (a) -2/7 (b) 0.07 (c) 0.5
a
What is the closest to 3/4 in 2/17, -0.4, -29.55, 6?
2/17
Which is the closest to 1/4? (a) -3 (b) 2382 (c) 4
a
Which is the closest to -0.07? (a) 2/3 (b) 1 (c) 2/9 (d) 0
d
What is the nearest to 1/3 in -1/3, -4, -33/184?
-33/184
Which is the closest to 1? (a) -141 (b) 0 (c) 3/190
c
What is the closest to -2/3 in 1/3, 52/3, -224, 2/7, -3?
2/7
Which is the closest to 3? (a) 1/3 (b) -0.076 (c) -354
a
What is the nearest to -22/5 in -3, 777, 8?
-3
What is the closest to -3 in -3, -2, -1?
-3
What is the closest to -41 in -3/4, 664, -0.4?
-3/4
What is the nearest to -0.12 in 96, -11, 2/9, 0, -3?
0
What is the closest to 2/3 in -4/5, -2/11, 1467, -1/2?
-2/11
Which is the closest to 2180? (a) -1/7 (b) -1/5 (c) 1/7 (d) 0.2 (e) -1
d
What is the closest to -1/17 in -4/3, -0.3, 1, -10/13?
-0.3
What is the nearest to -2.2 in 0.4, 3, -3, -4?
-3
What is the nearest to -89 in 5/4, -0.5, 5, 2?
-0.5
What is the nearest to 0.39 in 1, 0.034, -4/11?
0.034
Which is the closest to -2/3? (a) 1 (b) -5 (c) -39/17 (d) 3
c
What is the nearest to 0.1 in -825, -0.07, -2?
-0.07
Which is the closest to -2? (a) -2/5 (b) 429 (c) -3 (d) -2/7
c
What is the closest to -2 in 4, -6, 1375, 0.1, 3?
0.1
What is the nearest to -0.18 in -0.2, 4.2, -4, -6?
-0.2
Which is the nearest to 0.573? (a) -23 (b) 0.1 (c) -4 (d) 2/19
d
Which is the nearest to 2/13? (a) 9 (b) 1.1 (c) 15
b
Which is the closest to -1? (a) -4/5 (b) 0.14 (c) 0.15 (d) -119
a
What is the closest to 23 in 1/5, -0.5, -6, 1/3?
1/3
What is the closest to -0.2 in -0.2, 1/104, 1?
-0.2
What is the closest to 0 in -2/13, 159, 0.451?
-2/13
What is the nearest to -1/3 in 3, 4/5, 0.08, 1/204?
1/204
What is the closest to -2/23 in 2, 0.06, -1, 4/3?
0.06
What is the closest to 0.1 in 3/4, -20, -0.11, -18/11, 0.5?
-0.11
Which is the nearest to 6? (a) -10 (b) -0.2 (c) 2/19 (d) -0.2126
c
What is the nearest to 0.2 in -52, 1/3, 0.09, -4/125?
0.09
What is the closest to -2 in -2/11, -11, 5/3, 11?
-2/11
Which is the nearest to 0.5? (a) 34/95 (b) -2/7 (c) 0.5
c
Which is the closest to 0.1? (a) -0.5 (b) 0.3 (c) -3 (d) -5 (e) 0.0418
e
What is the nearest to -49 in 0.3, -8/17, 0, -5/2?
-5/2
What is the closest to 2/7 in 0.3, 226/3, 6, -2?
0.3
What is the nearest to -107298 in 1/7, 2/3, 2?
1/7
Which is the closest to -2? (a) -7 (b) 25 (c) 0.07 (d) -2
d
Which is the closest to -0.1? (a) 3/8 (b) 1 (c) -13 (d) 36 (e) 14
a
Which is the nearest to -1/3? (a) -22 (b) 4/173 (c) -0.1
c
Which is the closest to 0.2? (a) -1/1335 (b) 4 (c) -4/5 (d) -0.1 (e) 2
a
Which is the closest to -104? (a) 0 (b) 2/131 (c) -0.5
c
What is the nearest to -0.1 in -1, 0.34, -15, -0.01, -5?
-0.01
What is the closest to 9/8 in -1, 0.5, -2/17, -10/27?
0.5
What is the closest to -115 in -32, -5, 0.1?
-32
Which is the closest to 1/6? (a) 1/8 (b) 1/245 (c) 1/2 (d) 1
a
What is the nearest to 2 in 53, 11.3, -2/11, 2/7?
2/7
What is the nearest to -1096 in 2, 1/13, -0.2, 3, -4/7?
-4/7
What is the closest to 1 in 3, -7, 5, 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
?
3, 168673
List the prime factors of 43862.
2, 7, 13, 241
What are the prime factors of 1250274?
2, 3, 208379
What are the prime factors of 5286695?
5, 59, 17921
What are the prime factors of 1066887?
3, 118543
What are the prime factors of 1479075?
3, 5, 13, 37, 41
List the prime factors of 29740.
2, 5, 1487
List the prime factors of 19152894.
2, 3, 3192149
What are the prime factors of 1000741?
7, 142963
What are the prime factors of 186962?
2, 93481
What are the prime factors of 1995002?
2, 499, 1999
What are the prime factors of 5180914?
2, 2590457
What are the prime factors of 212806?
2, 11, 17, 569
What are the prime factors of 4776904?
2, 11, 19, 2857
What are the prime factors of 209337?
3, 69779
What are the prime factors of 6602429?
6602429
List the prime factors of 747261.
3, 79, 1051
List the prime factors of 516222.
2, 3, 7, 17, 241
List the prime factors of 2149389.
3, 11, 7237
What are the prime factors of 14893364?
2, 587, 6343
What are the prime factors of 2536609?
37, 179, 383
What are the prime factors of 1087243?
197, 5519
What are the prime factors of 2224362?
2, 3, 7, 211, 251
What are the prime factors of 9132?
2, 3, 761
What are the prime factors of 5174515?
5, 1034903
List the prime factors of 116678.
2, 227, 257
List the prime factors of 908428.
2, 19, 11953
What are the prime factors of 4218?
2, 3, 19, 37
What are the prime factors of 186324?
2, 3, 15527
What are the prime factors of 154701?
3, 17189
List the prime factors of 4887646.
2, 31, 2543
List the prime factors of 213878.
2, 7, 15277
List the prime factors of 4665471.
3, 1555157
List the prime factors of 551869.
181, 3049
List the prime factors of 446908.
2, 7, 11, 1451
What are the prime factors of 1017881?
1017881
What are the prime factors of 420069?
3, 13, 10771
What are the prime factors of 2023361?
257, 7873
What are the prime factors of 534355?
5, 106871
What are the prime factors of 82786?
2, 11, 53, 71
List the prime factors of 7342217.
2063, 3559
List the prime factors of 1563663.
3, 233, 2237
What are the prime factors of 1224501?
3, 191, 2137
What are the prime factors of 1103278?
2, 11, 47, 97
List the prime factors of 3415916.
2, 7, 121997
What are the prime factors of 1202630?
2, 5, 11, 13, 29
What are the prime factors of 125937?
3, 7, 1999
What are the prime factors of 701960?
2, 5, 7, 23, 109
What are the prime factors of 9074715?
3, 5, 13, 173, 269
List the prime factors of 1311057.
3, 11, 17, 19, 41
List the prime factors of 3586400.
2, 5, 4483
What are the prime factors of 1082770?
2, 5, 13, 8329
List the prime factors of 1131833.
79, 14327
What are the prime factors of 18146195?
5, 23, 157793
List the prime factors of 142820.
2, 5, 37, 193
What are the prime factors of 6477668?
2, 1619417
List the prime factors of 252622.
2, 126311
What are the prime factors of 3346669?
3346669
What are the prime factors of 514926?
2, 3, 28607
What are the prime factors of 10626407?
11, 83, 103, 113
What are the prime factors of 14777386?
2, 13, 17, 67, 499
List the prime factors of 1368149.
37, 103, 359
What are the prime factors of 13561923?
3, 71, 63671
List the prime factors of 520770.
2, 3, 5, 17359
What are the prime factors of 30665239?
11, 2787749
List the prime factors of 121151.
121151
List the prime factors of 28677560.
2, 5, 43, 16673
List the prime factors of 2351045.
5, 470209
What are the prime factors of 55077?
3, 11, 1669
List the prime factors of 71781.
3, 71, 337
List the prime factors of 266189.
7, 11, 3457
What are the prime factors of 9889868?
2, 31, 79757
What are the prime factors of 238582?
2, 119291
What are the prime factors of 351062?
2, 257, 683
List the prime factors of 43447.
23, 1889
What are the prime factors of 49163?
211, 233
List the prime factors of 1688629.
1688629
What are the prime factors of 17078710?
2, 5, 11, 17, 9133
List the prime factors of 1132499.
1132499
List the prime factors of 1986185.
5, 397237
What are the prime factors of 2804318?
2, 11, 41, 3109
List the prime factors of 910.
2, 5, 7, 13
List the prime factors of 1893716.
2, 11, 193, 223
List the prime factors of 564681.
3, 13, 14479
What are the prime factors of 2810725?
5, 112429
List the prime factors of 139881.
3, 7, 6661
What are the prime factors of 1408029?
3, 7, 67049
What are the prime factors of 18060713?
11, 281, 5843
What are the prime factors of 51673?
51673
What are the prime factors of 685616?
2, 73, 587
List the prime factors of 1523833.
271, 5623
What are the prime factors of 2864540?
2, 5, 7, 37, 79
What are the prime factors of 13631959?
11, 1239269
What are the prime factors of 165598?
2, 82799
What are the prime factors of 801986?
2, 233, 1721
What are the prime factors of 9398051?
13, 59, 12253
What are the prime factors of 1691796?
2, 3, 140983
What are the prime factors of 4630113?
3, 151, 3407
What are the prime factors of 6760664?
2, 845083
List the prime factors of 1481892.
2, 3, 123491
What are the prime factors of 103911?
3, 19, 1823
List the prime factors of 121883.
121883
List the prime factors of 851506.
2, 23, 107, 173
List the prime factors of 442710.
2, 3, 5, 4919
What are the prime factors of 6671530?
2, 5, 227, 2939
List the prime factors of 960644.
2, 137, 1753
What are the prime factors of 8249?
73, 113
List the prime factors of 26140786.
2, 7, 1303, 1433
What are the prime factors of 663900?
2, 3, 5, 2213
What are the prime factors of 1435899?
3, 43, 11131
What are the prime factors of 5752366?
2, 109, 26387
What are the prime factors of 4379061?
3, 37, 39451
What are the prime factors of 84973?
7, 61, 199
What are the prime factors of 1819449?
3, 79, 853
What are the prime factors of 13078911?
3, 379, 11503
What are the prime factors of 315677?
315677
What are the prime factors of 475703?
19, 25037
What are the prime factors of 7338779?
7, 149771
What are the prime factors of 15978546?
2, 3, 53, 1861
List the prime factors of 3026460.
2, 3, 5, 50441
List the prime factors of 3721312.
2, 7, 37, 449
List the prime factors of 68071.
68071
What are the prime factors of 956841?
3, 313, 1019
List the prime factors of 10436948.
2, 2609237
What are the prime factors of 1119588?
2, 3, 79, 1181
List the prime factors of 175500.
2, 3, 5, 13
List the prime factors of 249227.
11, 139, 163
What are the prime factors of 42823?
11, 17, 229
List the prime factors of 8933989.
8933989
List the prime factors of 1747318.
2, 873659
List the prime factors of 1101738.
2, 3, 11, 16693
What are the prime factors of 284894?
2, 181, 787
What are the prime factors of 683224?
2, 41, 2083
List the prime factors of 232329.
3, 43, 1801
List the prime factors of 17535.
3, 5, 7, 167
What are the prime factors of 1225551?
3, 37, 61, 181
List the prime factors of 5238567.
3, 17, 101, 113
What are the prime factors of 5497209?
3, 610801
What are the prime factors of 190035?
3, 5, 41, 103
List the prime factors of 12660760.
2, 5, 7, 103, 439
List the prime factors of 118311.
3, 113, 349
List the prime factors of 70226.
2, 13, 37, 73
What are the prime factors of 900118?
2, 347, 1297
What are the prime factors of 4732928?
2, 2311
What are the prime factors of 859533?
3, 23, 12457
List the prime factors of 152330.
2, 5, 15233
List the prime factors of 56140.
2, 5, 7, 401
What are the prime factors of 1448915?
5, 13, 22291
List the prime factors of 6724158.
2, 3, 7, 37, 4327
What are the prime factors of 995315?
5, 19, 10477
What are the prime factors of 2805884?
2, 17, 41263
List the prime factors of 1749488.
2, 13, 647
List the prime factors of 9589.
43, 223
What are the prime factors of 7910263?
7910263
What are the prime factors of 459578?
2, 7, 17, 1931
What are the prime factors of 2770968?
2, 3, 263, 439
List the prime factors of 218406.
2, 3, 89, 409
List the prime factors of 141039.
3, 15671
List the prime factors of 2753141.
31, 88811
What are the prime factors of 105161?
7, 83, 181
What are the prime factors of 16780843?
16780843
What are the prime factors of 902195?
5, 7, 149, 173
List the prime factors of 744303.
3, 7, 23, 67
What are the prime factors of 1077266?
2, 101, 5333
What are the prime factors of 1433359?
47, 30497
What are the prime factors of 9229327?
491, 18797
What are the prime factors of 159273?
3, 17, 347
What are
|
{
"pile_set_name": "DM Mathematics"
}
|
hat are the prime factors of 37892?
2, 9473
What are the prime factors of 2026?
2, 1013
List the prime factors of 2302.
2, 1151
List the prime factors of 929.
929
List the prime factors of 1877.
1877
What are the prime factors of 6267?
3, 2089
List the prime factors of 12400.
2, 5, 31
What are the prime factors of 31465?
5, 7, 29, 31
What are the prime factors of 11383?
11383
What are the prime factors of 18357?
3, 29, 211
List the prime factors of 945.
3, 5, 7
What are the prime factors of 5544?
2, 3, 7, 11
List the prime factors of 19358.
2, 9679
What are the prime factors of 12050?
2, 5, 241
List the prime factors of 1848.
2, 3, 7, 11
What are the prime factors of 1387?
19, 73
List the prime factors of 113627.
37, 83
List the prime factors of 4163.
23, 181
What are the prime factors of 10334?
2, 5167
List the prime factors of 1264.
2, 79
What are the prime factors of 35957?
41, 877
What are the prime factors of 7315?
5, 7, 11, 19
List the prime factors of 19426.
2, 11, 883
List the prime factors of 12080.
2, 5, 151
What are the prime factors of 18475?
5, 739
What are the prime factors of 1006?
2, 503
List the prime factors of 162293.
162293
List the prime factors of 25671.
3, 43, 199
What are the prime factors of 19?
19
List the prime factors of 103375.
5, 827
List the prime factors of 21072.
2, 3, 439
List the prime factors of 3857.
7, 19, 29
What are the prime factors of 3156?
2, 3, 263
List the prime factors of 6707.
19, 353
List the prime factors of 7328.
2, 229
List the prime factors of 202.
2, 101
List the prime factors of 477.
3, 53
List the prime factors of 53286.
2, 3, 83, 107
List the prime factors of 1368.
2, 3, 19
List the prime factors of 11415.
3, 5, 761
List the prime factors of 626.
2, 313
List the prime factors of 9279.
3, 1031
List the prime factors of 69.
3, 23
What are the prime factors of 9359?
7, 191
What are the prime factors of 12525?
3, 5, 167
What are the prime factors of 302?
2, 151
List the prime factors of 1280.
2, 5
What are the prime factors of 11493?
3, 1277
List the prime factors of 22923.
3, 283
What are the prime factors of 13783?
7, 11, 179
List the prime factors of 45401.
83, 547
What are the prime factors of 1853?
17, 109
List the prime factors of 98780.
2, 5, 11, 449
What are the prime factors of 126806?
2, 19, 47, 71
List the prime factors of 28402.
2, 11, 1291
List the prime factors of 476.
2, 7, 17
What are the prime factors of 303?
3, 101
List the prime factors of 12399.
3, 4133
List the prime factors of 50186.
2, 23, 1091
What are the prime factors of 87084?
2, 3, 41, 59
List the prime factors of 34669.
37, 937
What are the prime factors of 285?
3, 5, 19
List the prime factors of 35413.
7, 5059
What are the prime factors of 82787?
82787
What are the prime factors of 778?
2, 389
What are the prime factors of 74?
2, 37
What are the prime factors of 20932?
2, 5233
List the prime factors of 10121.
29, 349
List the prime factors of 2819.
2819
List the prime factors of 2357.
2357
List the prime factors of 505.
5, 101
List the prime factors of 1101.
3, 367
What are the prime factors of 2050?
2, 5, 41
What are the prime factors of 11083?
11083
What are the prime factors of 5527?
5527
List the prime factors of 87680.
2, 5, 137
What are the prime factors of 5596?
2, 1399
List the prime factors of 11446.
2, 59, 97
What are the prime factors of 5922?
2, 3, 7, 47
What are the prime factors of 33239?
43, 773
List the prime factors of 4428.
2, 3, 41
List the prime factors of 1171.
1171
List the prime factors of 56879.
23, 2473
List the prime factors of 13720.
2, 5, 7
What are the prime factors of 1586?
2, 13, 61
List the prime factors of 536.
2, 67
What are the prime factors of 22709?
22709
What are the prime factors of 5997?
3, 1999
What are the prime factors of 1195?
5, 239
What are the prime factors of 1134?
2, 3, 7
What are the prime factors of 1881?
3, 11, 19
What are the prime factors of 6205?
5, 17, 73
List the prime factors of 5640.
2, 3, 5, 47
What are the prime factors of 18830?
2, 5, 7, 269
List the prime factors of 614.
2, 307
List the prime factors of 79267.
31, 2557
What are the prime factors of 3713?
47, 79
What are the prime factors of 16336?
2, 1021
List the prime factors of 13146.
2, 3, 7, 313
What are the prime factors of 17051?
17, 59
List the prime factors of 1172.
2, 293
List the prime factors of 24064.
2, 47
List the prime factors of 35355.
3, 5, 2357
What are the prime factors of 23675?
5, 947
What are the prime factors of 407?
11, 37
List the prime factors of 6879.
3, 2293
List the prime factors of 811.
811
List the prime factors of 10812.
2, 3, 17, 53
List the prime factors of 62468.
2, 7, 23, 97
List the prime factors of 23316.
2, 3, 29, 67
List the prime factors of 39892.
2, 9973
What are the prime factors of 44650?
2, 5, 19, 47
List the prime factors of 16053.
3, 5351
List the prime factors of 7505.
5, 19, 79
What are the prime factors of 28774?
2, 14387
What are the prime factors of 4786?
2, 2393
What are the prime factors of 16605?
3, 5, 41
What are the prime factors of 7007?
7, 11, 13
List the prime factors of 12492.
2, 3, 347
List the prime factors of 11686.
2, 5843
List the prime factors of 206676.
2, 3, 5741
What are the prime factors of 806?
2, 13, 31
What are the prime factors of 8190?
2, 3, 5, 7, 13
List the prime factors of 7071.
3, 2357
What are the prime factors of 144049?
23, 6263
What are the prime factors of 151?
151
What are the prime factors of 12673?
19, 23, 29
List the prime factors of 235.
5, 47
List the prime factors of 5224.
2, 653
List the prime factors of 1013.
1013
List the prime factors of 2462.
2, 1231
What are the prime factors of 94144?
2, 1471
List the prime factors of 18564.
2, 3, 7, 13, 17
List the prime factors of 25258.
2, 73, 173
List the prime factors of 4200.
2, 3, 5, 7
List the prime factors of 5918.
2, 11, 269
What are the prime factors of 3182?
2, 37, 43
List the prime factors of 11255.
5, 2251
What are the prime factors of 845?
5, 13
List the prime factors of 223.
223
What are the prime factors of 2573?
31, 83
What are the prime factors of 19970?
2, 5, 1997
What are the prime factors of 3143?
7, 449
What are the prime factors of 1057?
7, 151
List the prime factors of 13739.
11, 1249
What are the prime factors of 1833?
3, 13, 47
List the prime factors of 10899.
3, 7, 173
List the prime factors of 5053.
31, 163
List the prime factors of 12447.
3, 461
List the prime factors of 761.
761
What are the prime factors of 225?
3, 5
List the prime factors of 3623.
3623
List the prime factors of 2051.
7, 293
What are the prime factors of 20838?
2, 3, 23, 151
List the prime factors of 48741.
3, 7, 11, 211
List the prime factors of 2019.
3, 673
List the prime factors of 8687.
7, 17, 73
What are the prime factors of 18849?
3, 61, 103
What are the prime factors of 36274?
2, 7, 2591
What are the prime factors of 10254?
2, 3, 1709
What are the prime factors of 5382?
2, 3, 13, 23
List the prime factors of 12897.
3, 1433
List the prime factors of 28355.
5, 53, 107
What are the prime factors of 16227?
3, 601
List the prime factors of 128623.
11, 1063
What are the prime factors of 10961?
97, 113
What are the prime factors of 57703?
19, 3037
List the prime factors of 15007.
43, 349
List the prime factors of 1080.
2, 3, 5
What are the prime factors of 1406?
2, 19, 37
List the prime factors of 30.
2, 3, 5
What are the prime factors of 1045?
5, 11, 19
List the prime factors of 898.
2, 449
List the prime factors of 480.
2, 3, 5
What are the prime factors of 4942?
2, 7, 353
List the prime factors of 13261.
89, 149
List the prime factors of 19729.
109, 181
What are the prime factors of 92308?
2, 47, 491
What are the prime factors of 34466?
2, 19, 907
What are the prime factors of 41698?
2, 20849
What are the prime factors of 1127?
7, 23
List the prime factors of 66771.
3, 2473
List the prime factors of 13805.
5, 11, 251
What are the prime factors of 38257?
67, 571
What are the prime factors of 93215?
5, 103, 181
List the prime factors of 1179.
3, 131
List the prime factors of 4930.
2, 5, 17, 29
What are the prime factors of 3839?
11, 349
List the prime factors of 6676.
2, 1669
What are the prime factors of 618?
2, 3, 103
What are the prime factors of 16134?
2, 3, 268
|
{
"pile_set_name": "DM Mathematics"
}
|
96000
What is -480000 rounded to the nearest 10000?
-480000
Round -0.000936 to four decimal places.
-0.0009
Round -0.00041714 to five decimal places.
-0.00042
What is 0.00000995 rounded to 7 decimal places?
0.00001
Round 0.0000106887 to 6 dps.
0.000011
What is -0.000685 rounded to five decimal places?
-0.00069
What is -0.000358116 rounded to 5 decimal places?
-0.00036
What is 260 rounded to the nearest 100?
300
Round -0.00008549 to 5 dps.
-0.00009
What is -13392000 rounded to the nearest 1000000?
-13000000
Round 0.00196129 to three dps.
0.002
Round 2.33255 to one decimal place.
2.3
Round 10740000 to the nearest 100000.
10700000
Round 0.00707 to 3 decimal places.
0.007
Round 0.00000303 to 7 decimal places.
0.000003
What is -3100000 rounded to the nearest 100000?
-3100000
Round 29.39 to zero decimal places.
29
What is 0.000013118 rounded to 7 dps?
0.0000131
Round -0.00000423 to 7 dps.
-0.0000042
What is -0.1288 rounded to three decimal places?
-0.129
Round -5021 to the nearest 1000.
-5000
What is 0.017534 rounded to three decimal places?
0.018
Round 240.013 to the nearest ten.
240
Round -0.001969 to 4 decimal places.
-0.002
Round -90663000 to the nearest 1000000.
-91000000
Round 528530 to the nearest one thousand.
529000
What is 3.6696 rounded to 1 dp?
3.7
What is 0.027328 rounded to 4 decimal places?
0.0273
Round 258620000 to the nearest one million.
259000000
Round -0.02218 to 4 decimal places.
-0.0222
Round 0.2131 to 0 decimal places.
0
Round -61730 to the nearest 100.
-61700
What is -5.504 rounded to one dp?
-5.5
Round -8.8191 to the nearest integer.
-9
What is 17692000 rounded to the nearest 1000000?
18000000
What is -0.0000032962 rounded to 7 dps?
-0.0000033
What is 523477000 rounded to the nearest 1000000?
523000000
What is 20490000 rounded to the nearest 1000000?
20000000
Round 417.7 to the nearest ten.
420
What is 17100 rounded to the nearest one thousand?
17000
Round -12786000 to the nearest 100000.
-12800000
What is -0.00000027329 rounded to 7 decimal places?
-0.0000003
Round -0.0017014 to 5 dps.
-0.0017
Round 1041900 to the nearest 10000.
1040000
What is 352710 rounded to the nearest 1000?
353000
What is 0.39211 rounded to 2 dps?
0.39
Round 20.54 to the nearest integer.
21
What is 0.0000029243 rounded to 7 decimal places?
0.0000029
What is -6.6681 rounded to 1 decimal place?
-6.7
What is 1213000 rounded to the nearest one million?
1000000
Round 19.251 to one decimal place.
19.3
Round 47784 to the nearest 10000.
50000
Round 0.0000444 to 5 decimal places.
0.00004
What is 358620 rounded to the nearest 10000?
360000
Round -470300 to the nearest one hundred thousand.
-500000
What is -157580000 rounded to the nearest one million?
-158000000
Round 0.000016196 to 6 decimal places.
0.000016
What is 0.17126 rounded to one decimal place?
0.2
Round -235.1 to the nearest ten.
-240
Round -0.00009221 to five dps.
-0.00009
What is 0.4193 rounded to two dps?
0.42
Round 1.2493 to 1 dp.
1.2
Round -0.000000669 to 7 dps.
-0.0000007
Round 0.0000066882 to seven dps.
0.0000067
Round -635260 to the nearest ten thousand.
-640000
Round -1.92659 to 2 decimal places.
-1.93
What is -0.0085686 rounded to three decimal places?
-0.009
Round -0.000010465 to six dps.
-0.00001
Round -0.000891 to five decimal places.
-0.00089
What is -0.22216 rounded to 3 dps?
-0.222
Round -0.00007914 to five dps.
-0.00008
What is -3.19959 rounded to 2 dps?
-3.2
What is 0.0000174 rounded to six decimal places?
0.000017
What is -946.8 rounded to the nearest integer?
-947
Round -0.02181 to three dps.
-0.022
What is 1531410 rounded to the nearest 10000?
1530000
Round 0.888768 to 3 dps.
0.889
Round -193200 to the nearest ten thousand.
-190000
What is 0.000000882 rounded to seven decimal places?
0.0000009
What is 0.000674 rounded to 4 dps?
0.0007
Round 186 to the nearest 1000.
0
Round 9359000 to the nearest 1000000.
9000000
Round -4.705 to the nearest integer.
-5
Round -7014700 to the nearest 1000000.
-7000000
What is 0.0076098 rounded to 5 decimal places?
0.00761
Round -4.633 to 0 dps.
-5
What is -0.000125431 rounded to six decimal places?
-0.000125
What is -5.935 rounded to one dp?
-5.9
What is 0.00289 rounded to 4 dps?
0.0029
Round -0.2299 to one decimal place.
-0.2
What is 0.000009051 rounded to six decimal places?
0.000009
What is 1.0873 rounded to one decimal place?
1.1
What is -55944000 rounded to the nearest 1000000?
-56000000
What is 0.0000053781 rounded to six dps?
0.000005
What is 17200 rounded to the nearest one thousand?
17000
What is 0.021827 rounded to 4 decimal places?
0.0218
What is -1156 rounded to the nearest 100?
-1200
Round -0.0058667 to four decimal places.
-0.0059
Round 55.06 to the nearest 10.
60
What is 0.05403 rounded to two dps?
0.05
Round -32780 to the nearest one hundred.
-32800
What is -0.00000045777 rounded to 7 decimal places?
-0.0000005
What is -540370 rounded to the nearest 100000?
-500000
What is 37812 rounded to the nearest 10000?
40000
What is -12670000 rounded to the nearest 1000000?
-13000000
What is 6972200 rounded to the nearest 1000000?
7000000
Round 0.000007377 to 7 dps.
0.0000074
What is 28835.7 rounded to the nearest one hundred?
28800
What is 0.0000004609 rounded to 7 decimal places?
0.0000005
Round -6683000 to the nearest one million.
-7000000
What is -113400 rounded to the nearest 10000?
-110000
What is 61598 rounded to the nearest 100000?
100000
What is 61100 rounded to the nearest 1000?
61000
Round 10848 to the nearest one thousand.
11000
Round 0.4739 to 2 decimal places.
0.47
Round -2115 to the nearest 10.
-2120
Round 0.0000522 to five dps.
0.00005
What is 0.0001822 rounded to 5 decimal places?
0.00018
Round 0.000018053 to six decimal places.
0.000018
What is 41626000 rounded to the nearest 100000?
41600000
What is 0.053 rounded to 1 decimal place?
0.1
What is -0.00179114 rounded to six decimal places?
-0.001791
What is -0.0005762 rounded to 5 dps?
-0.00058
Round 3.283 to 1 decimal place.
3.3
Round -0.0000112085 to six dps.
-0.000011
What is 0.11288 rounded to two dps?
0.11
What is 0.5697 rounded to one dp?
0.6
What is -0.2401 rounded to one dp?
-0.2
What is 0.6153 rounded to 1 dp?
0.6
Round 10362 to the nearest 100.
10400
Round -0.000022746 to 6 decimal places.
-0.000023
Round 0.0074367 to 5 decimal places.
0.00744
Round 0.0000005505 to seven decimal places.
0.0000006
What is 0.00008725 rounded to six decimal places?
0.000087
Round -0.3698 to 1 dp.
-0.4
Round 4.1539 to one dp.
4.2
What is -5231.7 rounded to the nearest 100?
-5200
Round -6032 to the nearest one hundred.
-6000
Round -29.15 to the nearest integer.
-29
Round 8.602 to 1 decimal place.
8.6
Round -23043 to the nearest 100.
-23000
Round 0.00149153 to 5 dps.
0.00149
What is -0.0000006245 rounded to 7 dps?
-0.0000006
What is -0.03932 rounded to 3 dps?
-0.039
Round 4720000 to the nearest one million.
5000000
What is -17270 rounded to the nearest 1000?
-17000
What is 36400000 rounded to the nearest one million?
36000000
Round 82000000 to the nearest 1000000.
82000000
What is 256.33 rounded to 0 decimal places?
256
Round 79610 to the nearest ten thousand.
80000
Round -1.7422 to 1 dp.
-1.7
Round -0.000279 to five dps.
-0.00028
Round 3.62 to the nearest integer.
4
Round -1985000 to the nearest one million.
-2000000
What is -0.0004774 rounded to five decimal places?
-0.00048
Round 4.834 to the nearest integer.
5
What is 427 rounded to the nearest one hundred?
400
Round -21610 to the nearest one thousand.
-22000
Round 0.0027009 to 3 dps.
0.003
What is -0.0000495 rounded to 5 decimal places?
-0.00005
What is -844000 rounded to the nearest 1000000?
-1000000
Round -2178 to the nearest 10.
-2180
Round -453830 to the nearest 10000.
-450000
Round 33486000 to the nearest one million.
33000000
What is 0.0000768 rounded to five dps?
0.00008
Round 512900 to the nearest ten thousand.
510000
What is -31366000 rounded to the nearest one million?
-31000000
What is -0.01196 rounded to four dps?
-0.012
What is 3608.3 rounded to the nearest 10?
3610
What is 12100000 rounded to the nearest 1000000?
12000000
Round 0.00011665 to 6 dps.
0.000117
Round 0.00000118514 to seven dps.
0.0000012
Round -1971 to the nearest one hundred.
-2000
Round 0.0002108 to 5 dps.
0.00021
Round -17791.1 to the nearest 100.
-178
|
{
"pile_set_name": "DM Mathematics"
}
|
2*w as t*w**2 + g + i*w and give t.
1
Rearrange -18*u**3 - 2836*u**3 + 93*u**3 + (0*u + 0*u - u**2)*(u + 3*u - 2*u) to g + s*u + j*u**3 + a*u**2 and give j.
-2763
Express -8*y**2 - 12*y**2 + 2332 + 21*y**2 in the form u*y + i + x*y**2 and give i.
2332
Rearrange (-54 - 62*t + 54)*(0*t + t + t) - 37*t**2 - t**2 - 37*t**2 to the form z*t**2 + c*t + n and give z.
-199
Express (-2 + 3 - 2)*(-2 + 3 + 5)*(-65*w + 814*w - 403*w + 3*w + 0*w - w + (-1 - 3 + 2)*(-4*w + 5*w - 3*w) + 0 + 0 - 3*w) as s + z*w and give z.
-2094
Rearrange (-62 - 134 - 37)*(1 - 1 - 1)*(3*z - 5*z + 0*z) to the form w + t*z and give t.
-466
Express -14 + 10 - 56*j + 1276*j - 36*j + 6 as i + q*j and give q.
1184
Rearrange (2 - 1 + 1)*(3 - 2 + 2*c - 2)*(-11445*c - 9936*c + 880*c) to the form q*c**2 + v + i*c and give i.
41002
Express 3*z**3 - z**3 - 2*z**2 + 39*z**3 - 396*z - 43*z**3 as j + s*z**2 + x*z + y*z**3 and give s.
-2
Rearrange -7*a**4 + 4*a**3 + 4*a**3 - 12*a - 11*a**3 + a + 4*a**3 + 6*a**2 to t*a**4 + w*a + p*a**3 + v*a**2 + r and give t.
-7
Express (77*b - 433*b - 5*b)*(-b**2 - 4*b**2 + 2*b**2 + (-3*b**2 - 2*b**2 + 3*b**2)*(1 - 1 + 2) + 2 - 2 + 2*b**2) as v*b**2 + l + d*b**3 + j*b and give d.
1805
Rearrange -1045*c**3 - 6*c**2 - 12*c**2 - 1 - 2*c + 11*c**2 + 6*c**2 to the form p + z*c + j*c**2 + w*c**3 and give w.
-1045
Express 14*z**4 + 122 - 7*z**4 - 4*z**2 - 4*z**4 + 2*z**2 + 206 as l + t*z + s*z**4 + u*z**3 + o*z**2 and give o.
-2
Express -42*x**3 + 11*x**4 - 7*x**4 - 3*x**4 + 2*x**2 + 30*x**3 + 13*x + 30*x**3 as r*x**2 + g*x + q*x**4 + h + n*x**3 and give r.
2
Rearrange -2*m + 3*m**2 + 8*m**4 - 251*m**3 - 9*m**4 + 246*m**3 - 7*m**2 to the form y*m**4 + l*m**2 + x*m**3 + w*m + d and give l.
-4
Express -15528*y**2 - 10304*y**2 - 9289*y**2 + 21050*y - 21050*y in the form a*y + n + j*y**2 and give j.
-35121
Express -11*g**4 + 8389*g + 6*g**2 - 8383*g - 6*g**2 - 2*g**3 - 3 in the form x*g + a*g**3 + o + f*g**4 + w*g**2 and give o.
-3
Express 19 - 8296*w + 11 - 39 + 9 in the form y + j*w and give j.
-8296
Rearrange -205*q**3 + 122030*q - 122030*q + (-5 + 3 + 1)*(51*q**2 - 15*q**3 - 51*q**2) to h*q**2 + k + l*q + r*q**3 and give r.
-190
Rearrange (-146*w + 85*w - 96*w)*(21*w + 5 - 5) to the form a*w**2 + i + m*w and give a.
-3297
Rearrange 2*n**2 - n**2 - 39*n - 471 + 905 + 11*n - 514 to j*n**2 + r*n + v and give r.
-28
Express -4*r + 12 - 38 + 21 - 20*r**2 + 2*r as a + w*r + y*r**2 and give w.
-2
Rearrange 6191 - 6191 + 7617*t**2 - 22700*t**2 to the form q + v*t + f*t**2 and give f.
-15083
Express -23*o**2 - 14*o**2 + 3*o**2 + 2*o + 38 + 0*o**2 - 37 in the form m + c*o**2 + r*o and give r.
2
Rearrange -130 + 5*w**2 + 186 - 132*w - 56 to o*w + u + h*w**2 and give h.
5
Rearrange (3 - 1442*s**2 - 3 - 1151*s**2 - 414*s**2)*(-4 - 1 + 2) to the form f*s + n*s**2 + d and give n.
9021
Rearrange 1027*r - 346 + 342 - 1063*r + 3*r**2 to u*r**2 + z + a*r and give z.
-4
Rearrange 169*l - 51*l + 51 - 56*l - 62*l - 16*l**2 to the form v*l**2 + a + t*l and give v.
-16
Rearrange -2159*u - 4254*u + 551*u to the form s*u + y and give s.
-5862
Express 4459*c + 4453*c + 183 - 8913*c + (0*c + c + 3*c)*(2 - 4 + 0) as q*c + s and give q.
-9
Rearrange 37*m**4 + 60*m**4 - 22*m**4 + (-67 + 2*m**3 - 269 + 2*m + 22*m**2 + 339)*(-4*m + 3*m + 0*m) to d*m**4 + y*m + j*m**3 + w*m**2 + p and give y.
-3
Express (-286*v - 52*v + 117*v)*(0 + v**2 + 0) + 4*v**3 - v**3 - 2*v**3 + (1 - 1 - v)*(-v + v - 5*v**2) as c*v**2 + i + r*v**3 + b*v and give r.
-215
Rearrange -1982425 + 2634*p + 1982425 + (-2 + 2 - p)*(-2 + 0 + 0) + 2*p + 0*p + 0*p to the form x*p + s and give x.
2638
Express 19 - 35 + 7*f**2 + f**3 - 3*f**3 + 14 + 6 as r*f + n*f**3 + d*f**2 + h and give n.
-2
Express -32 + 32 - 40*b**2 + (4*b + 2*b**2 - 4*b)*(-2 - 3 + 7) - 3*b + 2*b**2 + 3*b + 18*b**2 + 7*b**2 - 40*b**2 in the form m*b + n + f*b**2 and give f.
-49
Express 11*w**4 + 7*w**2 - 3*w**4 + 34*w**3 - 12*w**3 - 20*w**2 - 10*w**4 in the form n + h*w**4 + r*w**3 + p*w + u*w**2 and give r.
22
Rearrange (1 + 0 + 1)*(-6 - 3 + 27)*(m + m - 41*m) to the form f*m + b and give f.
-1404
Express -91592*y**2 + 3*y + 3 + 91597*y**2 + 1 + 3*y**3 in the form x*y**2 + i + w*y**3 + p*y and give x.
5
Rearrange (-2*h - 16*h + 5*h - 55*h)*(143*h**2 + 54*h**2 - 31*h**2) to t + p*h**2 + x*h**3 + o*h and give x.
-11288
Rearrange -10223*s + s**2 - 7*s**2 - 33 + 15 - 22 + 10221*s to the form x*s**2 + z*s + o and give x.
-6
Express 2272*t**3 - 178*t**2 + 524*t**2 - 178*t**2 - 171*t**2 - 2 as l + c*t**2 + k*t + z*t**3 and give l.
-2
Express (18*l + 61*l - 23*l)*((3 - 3 - 1)*(-3 + 5 - 1) - 4 - 46 - 45)*(-2*l + 3 - 3) in the form v*l**2 + x*l + i and give v.
10752
Rearrange (2*s + 0*s + s)*(-3*s - 4*s - 4*s) - 10*s + 4*s**2 + 40 - 40 to j*s + v + m*s**2 and give m.
-29
Express (188007 - 361*q - 58*q - 188001)*(-4*q + 2*q + 5*q) as c*q + j*q**2 + r and give j.
-1257
Express -4 + 610*s + 557*s - 1503*s in the form z*s + j and give j.
-4
Rearrange ((2*j - 6*j + 0*j)*(0 + 2 + 1) + 218*j + 214*j - 435*j)*(-2 + 7 - 2) + (0 + 3 - 1)*(1 - 1 + j) to the form g*j + y and give g.
-43
Rearrange -17 - 17014*x**3 - 15 + 17015*x**3 + 6*x to the form z*x**3 + h + r*x + j*x**2 and give h.
-32
Rearrange 301*x**3 - 2*x + 254 + 948*x**3 - 255 to n*x + c*x**2 + z + r*x**3 and give n.
-2
Express (0*k**3 + 3*k**3 - 12*k**3)*(-2 - 2 + 7)*(4 + 1 + 0) in the form b*k**2 + c*k**3 + x*k + w and give c.
-135
Express (-25 - 2 + 58)*(-832*h - 236 + 236) in the form q + n*h and give n.
-25792
Rearrange -331*z**2 + 308*z + 430*z**2 - 310*z to v + k*z**2 + u*z and give k.
99
Express -135*h**2 - 684 - h**3 + 141*h**2 + 1368 - 686 + 29*h as k*h**3 + i*h**2 + w*h + g and give g.
-2
Express 11254*y + 13161 - 13161 + 12484*y in the form q + n*y and give n.
23738
Express -249 - 5227*t + 531 - 282 + 14*t in the form f + c*t and give c.
-5213
Rearrange (-7629 - 7925 + 13202)*(-2*p**3 + 0*p + 0*p) to i*p + u*p**2 + k*p**3 + x and give k.
4704
Express (-16*s + 0*s**2 + 9*s**2 + 724736*s**3 + 7 - 724735*s**3)*(s + 3*s - 2*s) in the form v*s**4 + y + q*s + g*s**2 + k*s**3 and give g.
-32
Rearrange (0 - r + 0)*(-14559 + 14754 + 21211) to q*r + g and give q.
-21406
Express -523*j - 76*j + 121*j - 857*j - 815*j as z + g*j and give g.
-2150
Rearrange (-287127 - 2*x + 287127)*(4*x - x - 2*x) - 3*x**2 - 3*x**2 + x - 3*x**2 to the form c + n*x**2 + s*x and give n.
-11
Rearrange -83600*g**2 - 286*g**2 + 2973 + 7103*g**2 - 2973 - 13243*g**2 + (0 + g + 0)*(g + g - 4*g) + g**2 + 1 - 1 to v*g + n + c*g**2 and give c.
-90027
Express (2 - t - 2)*(-24178*t - 25949*t + 49024*t - 23553*t) in the form h + q*t + a*t**2 and give a.
24656
Rearrange (8 - 8 + 3*r)*(226*r - 578*r + 235*r) - r**2 + 3*r**2 + 4*r**2 to the form t + o*r + b*r**2 and give t.
0
Rearrange -3*d**3 - 1 + 15*d - d**3 + 163*d**4 - 261*d**4 - 14*d to g*d**4 + h*d + a*d**3 + c + j*d**2 and give c.
-1
Express 6*q**4 - 5*q + 10540*q**2 - 21085*q**2 + 13*q**3 - 1 + 10543*q**2 in the form s*q**3 + m*q**4 + u*q**2 + w*q + t and give s.
13
Rearrange 25*j**2 + 3*j**2 - 12*j + 39*j + 2 - 11*j - 10*j to h*j + u*j**2 + i and give h.
6
Express -339 - 697*i - 661*i + 1359*i in the form l + j*i and give j.
1
Rearrange -138*c**3 + 2*c**2 + 57*c**3 + 40*c - 89*c**3 - 53*c**3 to the form r + z*c + t*c**2 + j*c**3 and give j.
-223
Rearrange (x**2 - 5*x**2 + 2*x**2)*(1121*x - 459*x + 1332*x) to the form d*x + v*x**3 + g + k*x**2 and give v.
-3988
Rearrange (-3071*g - 250*g**3 + 3071*g)*(2 - 1 + 0) + (g - g - 2*g)*(-5 + 5 - 4*g**2) to the form i*g + s + w*g**3 + n*g**2 and give n.
0
Rearrange (23 + 12 - 12)*(-q**2 + 4*q**2 - 2*q**2 + (-3*q - 10*q**2 + 3*q)*(2 + 1 - 2) - 1 + 3*q**2 + 1) to the form h*q**2 + a*q + z and give h.
-138
Rearrange -28 + 15*o - 98 + 278 to q + f*o and give f.
15
Rearrange -55 + 1212*i - 16 + 3100*i + 73 - 522*i to the form q + j*i and give j.
3790
Express (-18*h - 17*h + 39*h - 4)*((4*h**2 + 2*h**2 - 2*h**2)*(3 + 0 - 4) + 8*h**2 + 2*h**2 + 19*h**2) as v*h**2 + g*h + j*h**3 + n and give j.
100
Rearrange -75*s - s**4 + 7*s**2 + 685 - 5*s**2 - 794 to w + d*s + o*s**4 + q*s**2 + y*s**3 and give o.
-1
Express ((b + 4 - 4)*(1 - 1 + 2) + 4 - 4 - 14*b + 1 - 10 + b + 0)*(-21*b**2 + 21*b**2 - 13*b**3) as i*b + c + k*b**2 + s*b**4 + p*b**3 and give s.
143
Rearrange 56 +
|
{
"pile_set_name": "DM Mathematics"
}
|
se -3*i + 15 = 5*x, 0 = 3*x + x - 5*i + 25. Let u = 0.2 + 4.8. Which is the third smallest value? (a) u (b) 6/11 (c) x
a
Let x = 10 - 14. Let j = -34/63 - -1/9. Which is the second smallest value? (a) 0 (b) x (c) j
c
Let j = -0.3 - -0.8. Let d = 2.6 - 3. Suppose 5*g = 10 + 5. Which is the smallest value? (a) d (b) g (c) j
a
Let v = -0.06 - 9.94. Let i = 5 + v. Let h = 0 - 2. Which is the third biggest value? (a) i (b) 1/3 (c) h
a
Let v = -2.72 - 0.29. Let p = 0.01 + v. Let r = -0.3 + 0.2. What is the smallest value in p, r, 2/7?
p
Suppose -4*f = -3*z - 22, z - 3*f = 5*z - 4. Let n be z/11 - (-124)/(-44). Which is the biggest value? (a) -1 (b) 0.2 (c) n
b
Suppose 4*g - 3 = -5*y - 0, y = 5*g + 18. Suppose 27 = y*t - 27. Let w be 4/t + 46/(-45). Which is the second smallest value? (a) w (b) -0.5 (c) -0.4
b
Let o = 62 + -44. Let l be 67/42 - o/12. What is the second smallest value in -3, 3, l?
l
Let h = -3.7 - -2.7. What is the smallest value in -5/2, 0.4, h?
-5/2
Let r = -263/9 - -29. Which is the biggest value? (a) r (b) -0.6 (c) 4
c
Suppose 0 = v - 3 - 4. Suppose -r - 7 = 2*s, -s - v = -2*r + 4. Which is the smallest value? (a) -5 (b) r (c) 2
a
Let m = 0 + -1. Let y = m - -0.7. Let v = 0.26 - -1.74. Which is the third biggest value? (a) y (b) -3/2 (c) v
b
Let o = -0.7 - 6.3. Let q = -3 - o. Let x = 6 + -6.3. What is the second biggest value in 3, x, q?
3
Let h = -529/6 + 88. Let k = 0.3 - 0.4. What is the third smallest value in k, h, -1?
k
Let g = 0.33 + 4.67. What is the second biggest value in -0.1, 0.4, g?
0.4
Suppose 3*p = 8*p - 35. Let b be (-12)/(-42)*p/3. What is the second smallest value in 0.3, b, -0.5?
0.3
Let l = -22.4 + 9.3. Let r = 12 + l. Let p = r - -1. Which is the second smallest value? (a) -0.4 (b) 0 (c) p
c
Let k = -5 + 8. Let s = -15 + 14. Let u = 0.7 + -0.3. What is the third smallest value in k, u, s?
k
Let l = 1.771 - -0.209. Let n = l + 0.02. What is the second smallest value in -3/7, n, 3?
n
Suppose -4*o - o - 20 = 0. What is the third biggest value in -3/5, o, 0.4, 0?
-3/5
Let q = 0.04 - -0.06. Let i = -0.1 - -3. Let z = q + i. What is the third smallest value in z, -1, 1?
z
Let u = 0.12 + 0.18. Let n = 0.4 + -0.6. What is the third biggest value in n, u, 4?
n
Let l be 12 - 8 - (-21)/(-2). What is the biggest value in -1/7, 0.1, l?
0.1
Let m = 47 - 30. Suppose 4*o - 3*d - m = 0, o + 3*o + 1 = -3*d. Let g = -0.142 + 0.042. Which is the third smallest value? (a) o (b) g (c) 0.3
a
Let m = -173 - -178. What is the fourth smallest value in -1/5, m, 3, -2?
m
Let x = 14 + -14. Let a = -1 - x. What is the second smallest value in 4, -5, a?
a
Let x = -6 + 8. Let s = -0.12 + 0. Let t = s - -5.12. What is the second smallest value in x, -3, t?
x
Let o = -17 - -14. Which is the smallest value? (a) -4 (b) o (c) -2
a
Let q = -0.031 - -0.031. Which is the second biggest value? (a) -2/7 (b) q (c) -2 (d) 1/2
b
Let s = -0.8 + 0.4. Which is the fourth smallest value? (a) s (b) -4 (c) 0.02 (d) 1/7
d
Suppose 2*i + 13 = 19, 3*h + 5*i - 24 = 0. Let k = -3 + 5. Which is the smallest value? (a) h (b) -5/3 (c) k
b
Let h = 0.09 + 3.91. Let w = -16/3 + 6. Which is the second smallest value? (a) -0.1 (b) w (c) h
b
Suppose -2*l - 16 = 2*q, 12 + 4 = -4*l. Let r = 0.08 + -0.11. Let k = r - 0.27. What is the biggest value in 1, k, q?
1
Let d = 178 + -178.07. Which is the biggest value? (a) d (b) 0.5 (c) 1/7
b
Let i be (4 - (-385)/(-98)) + 1/(-2). What is the third biggest value in -0.2, i, 2/3?
i
Let s(r) = r - 8. Let v be s(3). Let z = 0 + 0.05. Which is the biggest value? (a) v (b) 1 (c) z
b
Let h = 7.5 - 3.7. Let k = -4 + h. Let r = k + -0.2. Which is the third smallest value? (a) 3/7 (b) 0 (c) r
a
Let m = 0.04 - 3.04. Let l(w) = -w**2 - 6*w + 1. Let g be l(-6). Suppose g + 7 = -2*y. What is the third smallest value in -3/5, m, y?
-3/5
Let l be ((-1)/9)/(55/(-231)). Let z = -17/15 + l. What is the smallest value in -4, z, 2?
-4
Let t = -9.07 + 9. Let r = t - -0.37. Let u = r - 0.2. What is the smallest value in 1, u, 5?
u
Let i = 11/9 - 5/9. Which is the third biggest value? (a) 2 (b) i (c) 5
b
Let u = 21.9 + -22. Let t be (-1)/(-2) + 18/4. Let f = -145 - -1017/7. What is the third biggest value in t, f, u?
u
Let q = 16 + -19. Which is the second biggest value? (a) q (b) 1/3 (c) 0.5
b
Let r be ((-5)/((-15)/(-342)))/(-7). Let f = r - 16. What is the smallest value in 2/15, -0.2, f?
-0.2
Let q = -20 - -20.4. Let c = 0.2 - 0.6. What is the second smallest value in 0.3, q, c?
0.3
Let o = -0.996 - 0.004. Let g = 1.07 - 0.07. Which is the third biggest value? (a) 0.4 (b) g (c) o
c
Let k be 8/12 - 7/(-3). What is the smallest value in k, -2, -3/4, -4/7?
-2
Let b = 52 + -47. What is the biggest value in -4, -2, 0.5, b?
b
Let y = 0 + -0.2. Let f = 21 - 21.5. Let j = y - f. What is the second biggest value in -4, j, -1?
-1
Let a = -6.8 - -6.4. What is the third biggest value in a, 3/5, 0.3, 1?
0.3
Let k(v) = -v + 1. Let q be k(0). Which is the second biggest value? (a) -0.8 (b) 0.1 (c) q
b
Let k be 4/(-14)*(-3)/(-2). Let h = 0.1 - 0.1. Let r = -0.5 - h. Which is the third biggest value? (a) k (b) -4 (c) r
b
Let p = -6.178 - -1.068. Let y = 0.14 + -0.25. Let h = p - y. Which is the third smallest value? (a) h (b) -4 (c) 5
c
Let d = 6 + -1. Let m = 36.6 - 33.6. What is the biggest value in 4, m, d?
d
Let l = -109 + 114. What is the third smallest value in -0.7, 2/15, l?
l
Let v = -6 - -6.6. Let n = v - 1.6. What is the third smallest value in -2/3, n, 2?
2
Let p = -157 - -136. What is the smallest value in 0.5, p, -3, 3?
p
Let k = 0 + -1. Suppose 0*n = 5*b + 5*n - 5, b = 2*n + 1. Let p = 6 - 5.7. What is the smallest value in b, k, p?
k
Let t = 79 - 80. Which is the third smallest value? (a) t (b) 2 (c) -3
b
Let z = 0.9 - 0.6. What is the second biggest value in z, 0.1, -8?
0.1
Suppose -4*w + 24 - 4 = 0. Suppose -3*n - 4*s = -4*n - 5, -2*s + 7 = -w*n. Which is the biggest value? (a) 2/15 (b) n (c) -3/2
a
Let r(z) = -3*z + 2. Let k be r(3). Let u(s) = -s - 16. Let a be u(k). Let v be (1/a)/(1/(-6)). What is the third biggest value in 1, 0.1, v?
0.1
Let w be 12/40*5/6. Which is the second biggest value? (a) w (b) -4 (c) -6
b
Let p(n) = -4*n**3 + 2*n - 1. Let l be p(1). Let x be l/9 - (1 + 0). Let k = 991/7 + -142. Which is the second smallest value? (a) x (b) k (c) 3
b
Let f = 3/2648 + 10415/156232. Let n = -83/354 + f. Which is the smallest value? (a) -4/3 (b) n (c) -0.1
a
Let p = 35 - 33. Which is the smallest value? (a) p (b) 1/3 (c) -3 (d) 1/10
c
Let r = -1.3 - -0.3. Let y = -1 - r. Let f = y - -2. What is the third smallest value in -3/7, -2/11, f?
f
Let h = -126/25 - 4/25. What is the second biggest value in h, 0, 2?
0
Let p = -21 + 20. Let z = 1 - 6. Let j be ((-2)/(-2))/(1 - -2). Which is the second smallest value? (a) p (b) j (c) z
a
Let s be -5 + 12 - (-1 + 1). Let y be (s/(-1))/((-2)/40). Let x = 702/5 - y. Which is the second smallest value? (a) x (b) -3/8 (c) 2/7
c
Suppose -3*h - 51 = 14*h. Which is the second smallest value? (a) 0.4 (b) 3 (c) h (d) 5
a
Suppose 0 = -p + 5 - 0. Let q = -13 + 67/5. Which is the biggest value? (a) -2/5 (b) q (c) p
c
Let n(h) = -h**3 - 5*h**2 - 2*h - 5. Let r be n(-5). Let q = -126 + 879/7. Let j be 27/(-81)*1*9. Which is the second biggest value? (a) r (b) j (c) q
c
Let z = -0.15 - -5.15. Let s be -173*(-1)/(-12) + -2. Let c = -65/4 - s. What is the second smallest value in z, c, -2?
c
Let h = -0.33 - -0.23. What is the biggest value in 1, -1.3, h?
1
Let n be (-1)/(((-27)/(-3))/3). Which is the third smallest value? (a) n (b) -2 (c) -2/3
a
Suppose -p + 4*p = 0. Let s = 10 + p. Let m be 5/2*2/s. What is the second smallest value in -1, 1, m?
m
Let w = -25 - -25.2. Which is the second biggest value? (a) 2 (b) w (c) 5
a
Let k = 0.4 + -0.2. Let n = 0.1 + 0.7. Let t = k + n. Which is the second biggest value? (a) -3/4 (b) -2/15 (c) t
b
Let i = 28/29 - 1205/1218. Let k = -121/210 + i. Let w = -5.6 - -6. What is the third smallest value in k, w, 2?
2
Let p = 0.9 - 0.98. Let t = -1.92 + p. Let s = -2 + t. What is the third smallest value in s, -2, -5?
-2
Let k = -20 + 14. Let g = -1 - k. Suppose -q = 5
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let g = -6.558 + -0.142. Let o = g + 7. Which is the second biggest value? (a) k (b) o (c) -1/3
c
Let x be ((-2)/(-6))/((-1)/(-212)). Let a = x - 72. What is the second smallest value in a, -2, 0.3?
a
Let h = 0.03 + -1.03. Let s = 3 - 6. What is the third biggest value in s, h, 0.3?
s
Let m = -0.127 + 0.027. Which is the third biggest value? (a) 1 (b) 5 (c) 0.5 (d) m
c
Let n be 2/(24/(-9))*-4. Suppose -5*w = -4*w - 5*j + 14, -18 = 2*w - 5*j. What is the third biggest value in 2, n, w?
w
Suppose 4*w - 4*l + 1 = -3*l, 3*w + 22 = 5*l. Suppose -1 - w = 2*s. Let i = -0.69 - 3.31. Which is the third biggest value? (a) i (b) -2/15 (c) s
a
Let g = 9 + -8.3. Let a = g + -0.5. Let z be -3*(-1)/2 + -1. What is the second smallest value in 0, z, a?
a
Let q = 33.6 + -34. What is the third smallest value in 5, q, -2.6?
5
Let q = -0.11 - -12.11. Let i = q + -13. What is the second biggest value in i, -3, 3?
i
Suppose -6*l = 17 + 1. Let n be 8/(-6)*3/(-12). Suppose d = -4*d - 10. What is the second smallest value in l, n, d?
d
Let u = 0.4 - 5.4. Let v = 1 + u. Let b = -4 + 4.3. What is the biggest value in b, v, -0.1?
b
Let w = -37 - -42. Which is the second biggest value? (a) 0.5 (b) -0.5 (c) w
a
Suppose -2*u = -0*u + 2*v + 6, 4*v = 3*u - 26. Let r be u - (30/3 + -3). Which is the second smallest value? (a) 0.3 (b) 4/7 (c) r
a
Let t be ((-38)/(-627))/((-2)/(-6)). What is the second smallest value in -2/7, -5, t?
-2/7
Let s = -1.5 - -2. Let p = -5 - -3. Let l be -2 + 58/14 + p. What is the third smallest value in l, s, -4?
s
Let r = 3.4 + 69.6. What is the biggest value in r, 0.5, -4?
r
Suppose -5*t - 3*y - 22 = 0, 2*y = -t - 4 - 6. What is the fourth biggest value in t, 1/5, 0.05, -0.1?
t
Let h = -37 - -35. Which is the biggest value? (a) h (b) 1 (c) 3/4
b
Let f(k) = 2*k + 1. Let j = 3 - 1. Let y be f(j). Let u = 0.05 - 0.05. Which is the smallest value? (a) y (b) u (c) -0.1
c
Let m = -32 + 30. Let t = m - -2.3. Which is the second smallest value? (a) 2 (b) t (c) -2/51
b
Let m = 50 - 60. Which is the second smallest value? (a) -2 (b) 5 (c) m
a
Let l be ((-1)/9)/((-14)/(-12)). Suppose -2*k - 11 = b, 7*k + 2*b = 8*k - 2. What is the second biggest value in l, 0.5, k?
l
Let p = 3.06 - 3. Let w = p + -0.06. What is the third smallest value in -2/9, w, 5?
5
Let o = -172.7 + 165. Let h = -8 - o. Let k = -8 - -8.4. Which is the second smallest value? (a) 1/4 (b) h (c) k
a
Let x = 17.35 + -17. Let i = 0.05 - x. Which is the second biggest value? (a) -5 (b) i (c) -0.4
c
Let o be -1 + (-2 - 2)*1. Which is the second smallest value? (a) -4 (b) o (c) -3
a
Let n(w) = 2*w + 6. Let x be n(7). Suppose -4*k + 0*k = x. What is the second biggest value in -3, 4, k?
-3
Let f be (-24)/(-6) - (3 + 1). What is the third biggest value in f, -2/9, -0.4?
-0.4
Let y = 8/5 - 2. Let a = -0.4 - 0. Let f = a + -0.1. What is the biggest value in y, f, 0.2?
0.2
Let j = -3 - -5. Let k = -24 + 24.1. Let f = -0.2 - 0.3. Which is the smallest value? (a) j (b) f (c) k
b
Let t = 70 - 70. Which is the third smallest value? (a) -3/8 (b) -1.1 (c) t (d) 2
c
Let w = 0.01 + -0.31. Let y = 5 + -9. Let p = y - 1. What is the biggest value in p, w, 3?
3
Let m = 21 - 13. Let p be 15394/88 + (-6)/m. Let x = 174 - p. What is the second smallest value in 4, x, 2?
2
Let r = 9.4 - 14.4. Which is the second biggest value? (a) r (b) 3 (c) 0.1
c
Suppose 0 = -r - 0*r + 4. What is the second smallest value in r, 0.2, -0.7?
0.2
Let x = -7 + 3. Let o = 0.41 - 0.01. Let n = -0.9 + o. Which is the biggest value? (a) -0.1 (b) n (c) x
a
Let n = 0.52 - -23.48. Let g = -23 + n. Let z = -0.2 - 0. What is the third smallest value in -2/7, z, g?
g
Let l = -66 - -136. Let n be 6/(-8) - l/(-72). What is the biggest value in n, -2/17, 2?
2
Let u(w) = -w + 16. Let q be u(11). What is the second smallest value in 3, q, -2, -0.3?
-0.3
Suppose -n - 2 = -0*n. What is the second smallest value in -4, n, 2?
n
Let k be 28/(-12) + 4 - (-6)/(-9). Let n be (-4)/(-6) + (-11)/12. What is the third smallest value in n, k, -0.2?
k
Let z be ((-11)/(-143))/((-2)/4). What is the third smallest value in -2, 3, z?
3
Let q be -2*(1 - 1/2). Which is the third smallest value? (a) q (b) 5/4 (c) 0.2
b
Let v be (6/5)/(9/(-30)). Let g be 2/v*(-7 + -3). What is the smallest value in -3/8, -3, g?
-3
Let z(l) = -9*l + 1. Let r be z(-1). Let u = r - 15. Let w = -5 - -3. Which is the third smallest value? (a) -2/7 (b) u (c) w
a
Let t be 2 - (21*-1 - -2). Suppose -p + r + t = 0, 5 + 1 = p + 2*r. Let u be (p/(-60))/(4/10). What is the second smallest value in 5, -1/3, u?
-1/3
Let k(v) = -v**3 - 7*v**2 + 8*v - 2. Let p be k(-8). Let c = p + 1. Let z be (6/(-3))/(c/2). What is the third smallest value in -1, z, 1/2?
z
Let i be (5 + 2)/(-7) + 6/1. What is the smallest value in -3/4, i, -1/4?
-3/4
Let d = 632/5 - 127. Let l = -198 + 201. Which is the biggest value? (a) 5 (b) l (c) d
a
Let g = 26 - 23. What is the third biggest value in g, -0.3, 0?
-0.3
Let p be 10/2 + 642/(-126). Which is the second smallest value? (a) 0 (b) 3 (c) p (d) 1
a
Let z = -1.2 - -0.2. Let f = 0.37 + 0.13. Which is the third smallest value? (a) f (b) z (c) -4
a
Let j = -59 + 53.8. Let z = 5 + j. Let w = 0.7 + z. What is the second smallest value in -2/11, 5/4, w?
w
Let x = 1 + 3. What is the smallest value in -0.3, -4, x?
-4
Let q = 1.77 - -0.23. Which is the third smallest value? (a) q (b) 0.7 (c) 1
a
Let x be (-2 - -1)/((-2)/30). Suppose -x = -2*j - 3*j. What is the third biggest value in -1/11, 0.1, j?
-1/11
Let b = -0.28 + 0.08. What is the second biggest value in -0.1, -0.3, b?
b
Let y = -9/14 - -5/14. Which is the third biggest value? (a) -2/3 (b) 2/9 (c) y (d) 4
c
Suppose 3*t + 4*v = 21, 5*t + v + 0*v - 18 = 0. Let a = 0.263 - -7.737. What is the second smallest value in t, -0.4, a?
t
Let x = -0.07 - -0.07. Let t = x + 0.5. What is the second smallest value in -3, -4, t?
-3
Let u be (-1)/13*(-4 + 2). Which is the third smallest value? (a) 5 (b) 0 (c) u
a
Let w be (6/(-60))/((-1)/(-6)). What is the second biggest value in -3/7, 4, -2/7, w?
-2/7
Suppose 0 = -3*t + 4*u - 6*u - 13, -2*t - 5*u = 27. Which is the smallest value? (a) t (b) 0.4 (c) 1/2
a
Let h = -4 - -9.5. Let g = h - 6. What is the biggest value in g, -3, 5?
5
Let v = 5 + 4. Let r = -9 + v. Which is the second biggest value? (a) -0.3 (b) r (c) -0.4
a
Let c = 0.3 - -0.7. What is the second smallest value in c, -2/3, -0.5?
-0.5
Suppose 3*k = -4*j - 10, 5*k - k + j + 9 = 0. Let y be 1/(-14) + 2/4. Which is the biggest value? (a) k (b) y (c) 0.4
b
Let x = 0.6 - 1. Let o = 6/35 - -4/385. Which is the third biggest value? (a) x (b) o (c) 1
a
Let d = -39 + 37. Let x = 4.08 - 4. Let i = -4.08 + x. What is the smallest value in 4, i, d?
i
Let g = -1/138 - -31/46. Which is the third biggest value? (a) 5 (b) 2/13 (c) g
b
Let f be ((-185)/30 - -6)/(1/(-2)). Which is the smallest value? (a) 0 (b) 4 (c) 2/3 (d) f
a
Let b = -0.1 + 1.1. Let i = 41.1 + -41. What is the second biggest value in b, -3, i?
i
Let t = -0.11 - -15.11. Let c = -15 + t. What is the second biggest value in c, 1, 5?
1
Suppose u - 2*u - 4 = 0. Let y = -8 + 13. Which is the second smallest value? (a) 0 (b) y (c) u
a
Let u = -5 - -6. Let v = u - 5. Let i = -18 + 19. What is the biggest value in -3, v, i?
i
Suppose 3*f + 2*f = -5*m - 25, 3 = -3*f. Let y = -3 + 7. Let z = 3.8 - y. Which is the third biggest value? (a) 2/3 (b) m (c) z
b
Let t = 6 + -7. Let q be ((-7)/(-3) - 1) + -1. Let f = 0.2 + 1.8. Which is the second smallest value? (a) t (b) q (c) f
b
Let r be (-6)/8 - (-52)/112. Suppose 6 = -2*o - 2. Let x = 6 + o. Which is the second smallest value? (a) r (b) -5 (c) x
a
Let j = -42 + 44. Which is the biggest value? (a) j (b) 0.4 (c) -36
a
Let y = -0.25 - 0.15. Let r = 0 + 0.1. What is the third biggest value in r, -0.5, y?
-0.5
Let o = 0.07 - 0.07. Let i = -1.9 + 2. Let r = i - o. Which is the second smallest value? (a) 5/2 (b) r (c) 4
a
Let g = 71/126 + -5/18. Let z = 5.1 + -1.1. What is the second biggest value in -5, z, g?
g
Let h = 1.3 - 1.2. Which is the smallest value? (a) 2 (b) -4 (c) h
b
Let g = 14.4 + -11. Let x = -0.4 + g. Which is the t
|
{
"pile_set_name": "DM Mathematics"
}
|
emainder when p is divided by 40.
25
Suppose -5*n = -4*u + 2*u - 192, -2*u = -4*n + 152. Let g = -17 + 25. Let o = n - g. What is the remainder when 91 is divided by o?
27
Suppose 2*m + 2*l - 491 + 129 = 0, 3*m + l - 553 = 0. Calculate the remainder when m is divided by 20.
6
Let t(h) = -2*h**2 + 33*h - 1. Let u be t(17). Calculate the remainder when (-2)/u + (11055/135 - -6) is divided by 24.
16
Let k be -16*(-1)/2 - -551. Suppose 5*b - 249 = 2*b. Suppose -b = 4*c - k. Calculate the remainder when c is divided by 11.
9
Suppose -12*x + 145 = -7*x. What is the remainder when x is divided by 2 + 2 - -1 - (-48)/12?
2
Let w = 2961 - 2279. What is the remainder when w is divided by 73?
25
Let f(u) = 359*u + 2047. Calculate the remainder when 11333 is divided by f(-5).
245
Suppose -328 = -18*i - 372 + 260. Calculate the remainder when 34330 is divided by i.
10
Let l = -5 - -8. Let f = -467 - -1338. Calculate the remainder when 85/9 + f/(-117) + 7 is divided by l.
0
Let h = -9390 - -9495. Calculate the remainder when 139 is divided by h.
34
Let o(s) = -2*s**2 - 50*s + 9. Let k be o(-25). Suppose 5*q + 2*j = 196, -4*j = -k*q + 5*q + 168. What is the remainder when 73 is divided by q?
33
Suppose -209*f + 4015 = -4345. What is the remainder when 594 is divided by f?
34
Suppose 20*m - 18*m = 8. Suppose 3*j = -5*h, -m*h - 21 + 4 = -j. Suppose 0 = -2*b + 97 - j. Calculate the remainder when b is divided by 16.
14
Let p(a) = -87*a**2 - 9*a + 2 + 2 + 67*a**2. Let h be p(2). What is the remainder when 41 is divided by h/(-4) + (-2)/(-8)*-2?
18
Let l = 961 + -937. What is the remainder when 7318 is divided by l?
22
Suppose -2*k - 2*j + 260 = 0, -25 = -8*j + 3*j. What is the remainder when k + 7 + -3 + -1 is divided by 22?
18
Let r = 22652 - 22643. Calculate the remainder when 1992 is divided by r.
3
Let y = -91 + 187. What is the remainder when 2780 is divided by y?
92
Let y = 3159 + -2860. What is the remainder when y is divided by 14?
5
Let w be 122*-1*(-1)/(-6)*3. Let y = w + 69. Suppose y*j = 3*j + 165. Calculate the remainder when 97 is divided by j.
31
Let f = 2627 - 657. Calculate the remainder when f is divided by 25.
20
Let x = 161169 + -161105. Suppose 0 = -2*j + 7*j - 165. Calculate the remainder when x is divided by j.
31
Let u(x) be the first derivative of -3*x**2/2 - 21*x - 12. Calculate the remainder when 38 is divided by u(-9).
2
Suppose -3*c + 2996*b - 2994*b + 20673 = 0, 0 = 5*c + 2*b - 34439. What is the remainder when c is divided by 53?
52
Suppose 30*k - 49*k = 0. Suppose -2*i - 46 = 5*l - 10*l, 4*l + 4*i - 48 = k. What is the remainder when 125 is divided by l?
5
Let c = -11907 + 11940. What is the remainder when 1578/9 - ((-2)/(-6) + 0) is divided by c?
10
Suppose 3396 = 7*z - 2365. Suppose z = 19*j + 6. Calculate the remainder when j is divided by -1 - -27 - (1 + 1).
19
Let q(b) = 159*b**3 + 3*b**2 - 84*b + 154. Calculate the remainder when q(2) is divided by 253.
5
Suppose 7*h + 29493 = 31880. What is the remainder when h is divided by 1 + (-87)/(-1) + -2?
83
Suppose -2*c - 4*y - 15 - 15 = 0, 3*c - 3*y = -45. Suppose 3*k - 44 = 106. Let f = k + c. Calculate the remainder when 69 is divided by f.
34
Suppose 452 = -81*j + 93*j - 40. Let g = -55 + 81. Calculate the remainder when j is divided by g.
15
Suppose 134*i - 18585 - 1515 = 0. Calculate the remainder when 1644 is divided by i.
144
Let y be (3*-1)/(7 + -8). Suppose -y = -k + 1, -5*m - k = -39. Suppose -2*x - 1 + m = 0, 31 = 5*p + 2*x. Calculate the remainder when p is divided by 1.
0
Suppose 22 = 5*p - 13. Let c(x) = 5*x**3 + 2*x**2 + 9*x - 29. Calculate the remainder when c(3) is divided by p.
4
Suppose -3*b - 2*s + 9 = 0, 3*s + 4 = b - 10. Let p = b + 105. What is the remainder when p is divided by 28?
26
Suppose 0 = 37*n - 6742 - 1546. Suppose 0 = 9*g - 146 + 11. What is the remainder when n is divided by g?
14
Suppose t = 0, t = -k + 6*t + 5. Let b(f) = -f**3 + 10*f**2 - 12*f - 24. Calculate the remainder when 2/(-4) - 489/(-6) is divided by b(k).
40
Suppose 9 = 4*n + f, f - 5 + 0 = -2*n. Suppose 3*i - 19 = -w, n*w - 19 = i + 26. What is the remainder when 83 is divided by w?
17
Suppose 0 = -20*c - 175 - 25. What is the remainder when 9/2*(-7 + (c - -23)) is divided by 6?
3
Let l = -49 - 359. Let n = 530 + l. Calculate the remainder when n is divided by 16.
10
Suppose -202 = -5*f - 2*p + 159, -201 = -3*f + 4*p. What is the remainder when f is divided by 60?
11
Suppose 4*d = d + 5*w + 731, 5*d = 3*w + 1245. Let f = -236 + d. What is the remainder when f is divided by 12?
4
Suppose 1632 = 4*t - 3*f, 3*t + 2*f = 179 + 1062. Let q = -338 + t. What is the remainder when 435 is divided by q?
70
Let q be 126 + 3 - (10 + -4). Suppose -35*t + 1873 = q. Calculate the remainder when t is divided by 9.
5
Let i(w) = 64*w - 1. Let c be ((-363)/(-165))/(12/10 + -1). Suppose 3*b + c = 14. What is the remainder when i(b) is divided by 13?
11
Suppose 0 = -21*f + 127 + 146. What is the remainder when f is divided by 0 - -2 - (-15 + 5)?
1
Suppose -5*b - 3*x + 69 = 0, 3*b - 2*x - 83 + 72 = 0. Calculate the remainder when 858 is divided by b.
3
Let u = -8061 - -8134. Calculate the remainder when 291 is divided by u.
72
Let q = -1915 + 1984. Calculate the remainder when 431 is divided by q.
17
Suppose -4*z + 3595 = 24*j - 25*j, 2*z = j + 1795. Calculate the remainder when z is divided by 166.
70
Let g = 56 + -33. Let k = 49 - g. Calculate the remainder when k is divided by ((4 - 292/48) + 4/(-24))*-4.
8
Suppose -21*k + 168 = -18*k. Calculate the remainder when 1063 is divided by k.
55
Calculate the remainder when (-2 - 0)*(-78)/4 is divided by (44/(-7))/((-16)/56).
17
What is the remainder when (17 + -18)/(212/(-104) + 2) is divided by (-2 + 3)/1 + 3?
2
Let i = -381 - -391. Suppose 224 = i*r - 106. Calculate the remainder when r is divided by 4/2*(-9)/(-2).
6
Let d(y) = 64*y**2 + 24*y - 93. Calculate the remainder when d(7) is divided by 21.
19
Let s be (-4)/(-6) + 2/12*50. Let c(i) = s + 13 - 9 + 2*i. Calculate the remainder when 9 is divided by c(-4).
4
Suppose s = 2*u + 276, -u - 2*s = -0*s + 133. Let q = u + 149. Calculate the remainder when q is divided by 4.
0
Let h = 113 + 447. Calculate the remainder when h is divided by 62.
2
Let q(y) = -y**3 - 23*y**2 + 22*y + 81. Suppose -169 = 19*h + 287. Calculate the remainder when q(h) is divided by 19.
15
Let z be (-1)/((-114)/39 + 3). Suppose 5*c - 2*j - 285 = 0, -74 = -4*c - 2*j + 154. What is the remainder when c is divided by (z + 3)/((-1)/2)?
17
Let s(x) be the first derivative of 20 + 4*x + 109/3*x**3 + 3/2*x**2. Calculate the remainder when s(-1) is divided by 28.
26
What is the remainder when 327 is divided by (-266)/171 - 5145/(-27)?
138
Suppose -800 = -96*j + 76*j. What is the remainder when 514 is divided by j?
34
Let v = 3476 - 3367. What is the remainder when v is divided by 39?
31
What is the remainder when (-473 - -584)/((-3)/(-860)*2) is divided by 12?
10
What is the remainder when 3363 is divided by (408/32)/(-4*(-6)/96)?
48
Let x(u) = -u**2 - 19*u - 6. Let f = -30 - -14. Let v be x(f). Suppose 4*n + 0*d + 2*d - v = 0, -2*n - 2*d = -24. What is the remainder when 29 is divided by n?
2
Suppose 4293 = 196*k - 7663. Calculate the remainder when 1068 is divided by k.
31
Let b be ((-4)/(-1))/((-2)/(-3)). Let r(v) = -b*v**2 - v - 17 - 2*v - v + v**3 + 0*v**3. Calculate the remainder when 7 is divided by r(7).
3
Let a(c) = c**3 - 5*c**2 + 4*c - 7. Let h(j) = j**3 + j**2 + 3*j - 13. Let y be h(2). What is the remainder when 83 is divided by a(y)?
5
Suppose 3*h = -6*q + 2*q + 15, 3*h - 5*q + 12 = 0. Calculate the remainder when 166 is divided by (1760/(-200))/(h - (-11)/(-10)).
78
Let b(x) = -30*x**2 - x**3 - 23*x**2 + 30*x + 62*x**2 + 22 - 5*x + 2. What is the remainder when b(11) is divided by 10?
7
Suppose 4*v = -3*z + 22, z - 3 = 2*v + 1. Suppose 2*s + 3*q + 0*q - 63 = 0, -44 = -s - 4*q. Calculate the remainder when 41 + (z/2 - 0) is divided by s.
20
Let i(w) = 2*w + 30. Let y be i(-15). Suppose -3*b = b - 3*q - 186, 4*q + 8 = y. Let l(p) = -11*p - 75. What is the remainder when b is divided by l(-9)?
21
Let i = 44 + 18. Let d(c) = 78*c**2 - 2*c + 1. Let a be d(1). Suppose -z - 4*h = -a, -h = -0*z + z - i. What is the remainder when z
|
{
"pile_set_name": "DM Mathematics"
}
|
-26) assuming f is positive.
f**(2539/51)
Simplify (n**(-5)*n**(-2))**38/((n**(-6)*n)/n*n*n/(n/n**1)*(n**(-1/3))**(-40)) assuming n is positive.
n**(-826/3)
Simplify (f*(f**4/f)/f*f*f*f/(((f/(f*(f*f**(-2/19))/f*f))/f*f)/f))**31*(f**1)**(-8)*f*f*f*f**(-4/9)*f**(2/13) assuming f is positive.
f**(532289/2223)
Simplify ((x*x**4)/(x*x**(-2/37)))**(16/11)/((x/(x*x*x/(x/(x/x**(6/11)))))/((x*x**(-2/13))/x)*x/x**7*x**(-7/5)/x) assuming x is positive.
x**(37512/2405)
Simplify ((j*j**(-5))/(j*j/j**(-7)*j*j))**(27/5)*((j/(j*j**0))/j)**(1/20)/(j*j**0)**22 assuming j is positive.
j**(-2061/20)
Simplify a**(1/6)*a*a*a*a/(a/a**(1/5))*a*(a**0)**(8/9)*(a**(-7)*a/((a*a**1*a*a)/a))**(-5/6) assuming a is positive.
a**(178/15)
Simplify v**(-2/5)*v*v**5*(v/(((v/(v*v*v**0)*v)/v)/v*v))/v*v**(-1)*(v**(-1/8)*(v*v**0)/v*v)**(-5/3) assuming v is positive.
v**(497/120)
Simplify (j**(-3/7)*j/((j**(2/17)*j)/j))**(1/64)/(((j/j**1)/j)**(-6/7)*j**6*j*(j**(-5/4)*j)/j) assuming j is positive.
j**(-25133/3808)
Simplify (i*i**21*i**11/i*i**19/(i*i*i**21*i))**(4/15) assuming i is positive.
i**(36/5)
Simplify b/((b**(-6)/b)/b*b)*((b/b**(2/3))/b)/b*b**(3/7)*b*b**(1/9)*(b**(2/9))**(-19/6)*(b/b**(2/3))**(-1/12) assuming b is positive.
b**(5399/756)
Simplify (w/(w*w*w**3/w)*w**(2/3)*w)/(w**(-1/3)/w**(1/2))*((w*(w**(2/33)*w)/w)/(w/w**(-4/5)*w))**(-2/39) assuming w is positive.
w**(-5287/12870)
Simplify (g**(-2/7)/((g**(-4/7)*g)/g)*(g*g*g*((g/g**(4/7))/g)/g*g*g)/(g*g**(1/5)))/(g**(-3)/g**1*(g*g/g**(-1/5))/(g/(g**(-5/2)/g))) assuming g is positive.
g**(617/70)
Simplify (((b**1*b)**12*(b*b**(1/2))**(-40))**(18/11))**28 assuming b is positive.
b**(-18144/11)
Simplify ((h**(-33)*h)/h*h*(h*h**(-3/29)*h)/h*(h*h*h*h*h*h**(8/3)*h)**(-20))**48 assuming h is positive.
h**(-284576/29)
Simplify (v**1/v*v/v**4*(v/v**(1/6))/v**(-12))**(-44) assuming v is positive.
v**(-1298/3)
Simplify ((t**(-1/4))**(-5/4)*(t*t**(-24/5))**(-23))**(-2/7) assuming t is positive.
t**(-7017/280)
Simplify ((w**(-1)/w*w*w*w)**41/(w**5*w**6))/(w**6/w**5*(w/(w*w**(2/9)))**36) assuming w is positive.
w**37
Simplify (y*y/(y*y**(1/3)*y*y))**(-1/50)*(y*y/y**(1/8)*y*y*y)/y*((y**(2/3)/y*y)/y)/y*(y**(4/3)/((y**2*y*y)/y))**(-16) assuming y is positive.
y**(5847/200)
Simplify o**(-35)*o*(o*((o**(2/27)/o)/o)/o)/o*o*o*o*(o*o**37)/o*o*o*o*o*o**(-4/15) assuming o is positive.
o**(919/135)
Simplify (((((n*n**(-6))/n)/n)/n)/(n**(-2/3)*n))/(n*n**(-2/7))**(1/4)*((n/n**3)/((n/(n/n**(-3/4)))/n))**(1/87) assuming n is positive.
n**(-3457/406)
Simplify ((m/m**(-5/7))/(m**(-3/4)/m))**(8/9)*(m**2/(m*m**(2/27)))**19 assuming m is positive.
m**(3907/189)
Simplify ((h/(h/h**1)*h)**33*h/(h/(h/h**(-2/15)*h))*h**0)/((h*h**(5/3)/h*h/(h*h*h**3*h*h*h))/(h/h**(-1/3)*h)**8) assuming h is positive.
h**(1382/15)
Simplify ((v/v**(-1/74)*v)**21/(v**(-32)*v*v**(-1)))**40 assuming v is positive.
v**(109940/37)
Simplify y**4*((y**(-2/37)*y*y)/y)/y*y*(y*y**28)**(2/67) assuming y is positive.
y**(14407/2479)
Simplify ((q*q**(-1))**(1/25)*(q/(q**1*q))**19)/((((q*q/(q**(1/3)*q*q)*q*q*q)/q)/q**(-2/9))/(q**(-1))**(-1/13)) assuming q is positive.
q**(-2435/117)
Simplify ((d/(d*d**(-1/2)))**17)**(3/10)/(((d/(d*(d/(d**(-5)/d))/d*d*d))/(d**(2/3)*d*d))/(d/d**(2/5))**16) assuming d is positive.
d**(1369/60)
Simplify ((y**(-2/7))**(-5)*(y/(y*y**2*y))**(3/5))**(-26) assuming y is positive.
y**(338/35)
Simplify (l**47/(l**(-2)*l))/(l*l/(l*l**(-4)/l)*l*l/((l*l/(((l**(6/17)*l)/l*l)/l)*l)/l)) assuming l is positive.
l**(708/17)
Simplify ((h*h**24)/(h/(h*h**(1/23)))*(h**(3/13))**22)**(-2/3) assuming h is positive.
h**(-6004/299)
Simplify ((i**2)**(2/3)/(i*i*i**(-2/3))**(-6/5))/((i/(i*i**0))**(-1/50))**(4/7) assuming i is positive.
i**(44/15)
Simplify (l**8*l*l*l/(l/(l/(l*l*l/l**3))))**(-15/8)*(l/l**(2/5)*l)**(-3/19)/((l/(l/l**(-2/17))*l)/l*((l*l**(-4))/l)/l) assuming l is positive.
l**(-203619/12920)
Simplify (s**(-1/5)*s**(11/7)/s)/(s**(-2)*s**(-21)) assuming s is positive.
s**(818/35)
Simplify ((x/x**(-2/3))**(2/9)*x**5*x*x**(4/3))/(x**(-2/9)/((x*x/(x/(x*x**7)))/x))**(-25) assuming x is positive.
x**(-5342/27)
Simplify (((i/(i/(i*i**(6/5)*i*i)))/i)**(-5/13)*(i/(i*i/i**28))/i**(-8/11))**(2/23) assuming i is positive.
i**(7578/3289)
Simplify (b**1*b)**(-22)/(b**(-3/8)/((b/b**(-1))/b))*(b**(2/23)*b**(-1))**(-39/4) assuming b is positive.
b**(-6205/184)
Simplify ((t**1)**47)**(-2/13)*((t/((t/(t*t**(3/5)*t))/t)*t)/t**5)/(t**(-1))**(-3/2) assuming t is positive.
t**(-1187/130)
Simplify ((q/(q**7/q)*q*q)/q**(-4)*q/(q*q*q/(q/(q/q**(-6))*q)*q)*q**(2/3)/q)/((q/q**(-1/2))**(1/19))**(-15) assuming q is positive.
q**(-701/114)
Simplify (p**(2/15)/(p/(p/(p**(-2/5)/p))))**(-28)*(p**(2/3)*p)**(-20/9)*(p*p/(p/(p/p**2)))**(-3) assuming p is positive.
p**(-6296/135)
Simplify ((u*u*u**(-5/3))**(41/2)/((u/(u*u**(-1/5)))/u)**(3/4))**(-26/3) assuming u is positive.
u**(-2899/45)
Simplify (((a*a**(-1/12)*a**(1/14))/(a**(-1/12)*a**3*a))**(-5/3))**(-26) assuming a is positive.
a**(-2665/21)
Simplify ((x/(x*x/(x*x*x/(x*x**(-1)))*x))**25)**(-50)*(x**(1/2))**(10/3)/(x/((x/(x/(x*(x*x**0)/x)))/x))**(2/79) assuming x is positive.
x**(-295861/237)
Simplify (h**(-1))**(-49)/(h**0/(h*h/(h**(-5)*h)))*((((h**(-2)*h)/h)/h)/h**(1/5))/(h**0/(h*h/(h*(h/(h**(-2/13)/h*h))/h))) assuming h is positive.
h**(3422/65)
Simplify (((q*(q/(q*q*q/q**(-2/7)))/q*q)/q)/q*q)/((q/(q**(3/5)/q))/q*q)*(q*q*q**2)**50*(q**(-2))**(1/28)/(q**9/((q*q**9)/q)) assuming q is positive.
q**(13737/70)
Simplify ((n/n**(-1/5))/n**(-3/7)*(n**(-24))**(-3/23))**40 assuming n is positive.
n**(30648/161)
Simplify (c**1)**12/(((c**(-1)*c)/c)/c**4)*(c**8*c**(2/19)/c)/(c/((c/(c*c*c*c**(2/5)/c))/c)*c*c**9) assuming c is positive.
c**(1017/95)
Simplify ((v*v*v*v*v*v**(-1)*v*v*v)**7/(v**(-3)/(v**(2/3)*v)))/((v*v**(4/5))/v**3)**38 assuming v is positive.
v**(1489/15)
Simplify ((o**(-3/2)*o**(-5)*(o**(2/9)*o)/(o**(-3/7)/o))**(4/5))**(-22) assuming o is positive.
o**(4268/63)
Simplify ((n**(-1))**(-38))**(-2/111)*(n**(-5)*n*n*n/(n*n**(-5)))/((n**3*n*n)/n**(-3/5)) assuming n is positive.
n**(-2378/555)
Simplify ((((o**13*o)/o)/o)/o*o*o**20*o*o**1/(o/o**(2/33)))**11 assuming o is positive.
o**(1091/3)
Simplify g**42*g*g**(-10)*g*((g*g**7*g)/g)/g**47 assuming g is positive.
g**(-5)
Simplify (((x/(x**(2/7)/x))/x)/x*x)**(-29)*x**(-20)/x**(-4/11) assuming x is positive.
x**(-3107/77)
Simplify (z/z**(3/4))/(((z/(z/(z/(z*(z*z*(z*z*z**6*z)/z)/z))))/z)/z)*z**1*z*z**(-4)*(z*z**(-6)*z*z*z*z*z**(-6))**36 assuming z is positive.
z**(-971/4)
Simplify (p*p*(p/p**(-5/2))/p*p*p*p/(p/(p*p/p**(2/3))))**14/(p**(-4/5)/(p*(p*p**1)/p))**(1/6) assuming p is positive.
p**(1652/15)
Simplify (b*b**(1/3)*b*b**(-4)*b)**(-1/58)/(((b/(b*b**2))/b**(2/3))/(b**(2/3)/b**(-2/11))) assuming b is positive.
b**(1125/319)
Simplify (((n*n**(-2))**(-8)/(n/(n*n*n/n**(-1/17)*n)*n*n*n**(-10)))**(1/20))**(5/4) assuming n is positive.
n**(81/68)
Simplify ((n/(n*n/(n**(-36)/n*n)))**41*(n**(14/5)*n*n)**6)**(-40) assuming n is positive.
n**59528
Simplify (p*p*p*p/((p/(p*p**6*p))/p)*p**(-1/7))/(p/(p*p**(-2))*p**6)*((((p**0*p)/p)/p)/p**(-2/5))/((p*(p**(-7)/p)/p)/(p/(p**4/p))) assuming p is positive.
p**(324/35)
Simplify ((n/n**1)**(4/11)/(n**(2/13)*n**1))**(4/21) assuming n is positive.
n**(-20/91)
Simplify (n**(-7)*n*n**27*n*n**(-4/5)*n*n**(1/2))**(4/13) assuming n is positive.
n**(454/65)
Simplify ((((k**3/k)**(-2/25))**36)**(-20))**(-4/21) assuming k is positive.
k**(-768/35)
Simplify (o**1)**48/(o*o**(-2/5))**18*(o*o**(2/17)*o**(-2/23)*o)**(-2/7) assuming o is positive.
o**(501142/13685)
Simplify i/i**(-2/3)*i*i**4/i*(i/(i**(-1/3)*i))**11*(i**(-1)*i)/i**3*(i/(((i/i**(-2/15))/i)/i))/(i**(-2/13)*i) assuming i is positive.
i**(478/65)
Simplify ((l**(-1))**(-38)*l/((l**(-6)/l)/l)*l**(-6))/(l*l**(-3)/l*l/(l**(-2/7)/l*l)*l*(l**1*l*l)**(-21)) assuming l is positive.
l**(733/7)
Simplify (z**5*z)/z*(z**(1/10)/z)/z*z*(z**(2/9)*z)/(z/z**(2/15))*(((z*z/((z**3*z)/z))/z)/z**(-5))**(-1/3) assuming z is positive.
z**(311/90)
Simplify (((j**(-2/5)*j)/j**(-4/5))/(((j**(-1/3)/j)/j)/j**14))**(2/5) assuming j is positive.
j**(532/75)
Simplify (((l*l**(-2/15)/l*l/l**9)/(((l/l**7)/l)/l**2))**(-3/8))**(8/9) assuming l is positive.
l**(-13/45)
Simplify ((o**(6/11)/(o*o**(-1/5)))/(o**(1/4)/o**8))/(((o**(-1/4)/o*o)/o)**(-13)*o**9*o**(-2/9))
|
{
"pile_set_name": "DM Mathematics"
}
|
wrt h?
12*h**2 - 1158*h + 170
What is the second derivative of -4*d**2*h**2*o**2 - 1413*d**2*o**2 - 94*d*h**2*o - 4*h**2*o**2 + 13*h*o**2 wrt d?
-8*h**2*o**2 - 2826*o**2
Find the third derivative of 79554*m**5 - 12822*m**2.
4773240*m**2
Find the second derivative of -4*h**2*p**3 - 411*h**2*p + 92*h**2 - 14*h*p**2 + h*p - 2*h + 2*p**3 - 4876 wrt h.
-8*p**3 - 822*p + 184
Find the third derivative of -11*q**6 + 1114*q**5 - 108046*q**2 wrt q.
-1320*q**3 + 66840*q**2
What is the second derivative of 3*g**2*i*u + 502690*g**2*u - g*i*u + 6*g*u - 3*g - 11*i + 259*u + 2 wrt g?
6*i*u + 1005380*u
What is the third derivative of 356*a**3*d**2 - 27*a**3*d - a**3 + 2*a**2*d**2 + 2*a**2 - 8*d**2 + 7849 wrt a?
2136*d**2 - 162*d - 6
What is the second derivative of 1629653*f*v**2 - 12*f*v + 3*f + v - 10 wrt v?
3259306*f
What is the derivative of 1148446*z - 2384659 wrt z?
1148446
What is the second derivative of 78086*d**2 + 14812*d wrt d?
156172
Find the second derivative of 1669*b**2*n**2 - 221*b**2 + 12*b + 6*n**2 - 2751 wrt b.
3338*n**2 - 442
What is the second derivative of -861810*r**2 - 1127108*r wrt r?
-1723620
Find the second derivative of 2336*o**4 + 6*o**2 + 429*o + 43 wrt o.
28032*o**2 + 12
Find the second derivative of 23*b*n**4 + 30*b*n**3 - 1345*b*n - 41*b + 29*n**2 wrt n.
276*b*n**2 + 180*b*n + 58
Find the first derivative of -51430*r**2 + 29510.
-102860*r
What is the first derivative of -7*z**3 - 1441*z**2 - 3*z - 356720?
-21*z**2 - 2882*z - 3
Find the first derivative of -2630*a**4 - a + 15289.
-10520*a**3 - 1
What is the derivative of 11*i**3*j*s + 39453*i**3*s + 2137*j*s wrt j?
11*i**3*s + 2137*s
What is the second derivative of -28192*q**4 + 30899*q + 1 wrt q?
-338304*q**2
Find the first derivative of -2*v*y**2 + 3*v - 40234*y**2 - 14520 wrt y.
-4*v*y - 80468*y
What is the third derivative of -36*l**4 - 776*l**3 - 84580*l**2 wrt l?
-864*l - 4656
Find the second derivative of 3611*w**5 - 118*w**3 + 225*w + 1591 wrt w.
72220*w**3 - 708*w
Find the third derivative of p**3*q**3 - 144151*p**3*q**2 - 4677*p*q**3 + 2*q**3 wrt q.
6*p**3 - 28062*p + 12
What is the second derivative of 2*m**4*v - 6*m**3*v - 873*m**2 + m*v + 529*v + 8 wrt m?
24*m**2*v - 36*m*v - 1746
Differentiate -25565*p + 31583.
-25565
Find the first derivative of -2*c*l**2*n**3*q + 2932*c*l*n**3*q + 124*l**2*n**3*q + 77*l**2*n + 2*n*q wrt c.
-2*l**2*n**3*q + 2932*l*n**3*q
What is the third derivative of 17043*z**3 - 2*z**2 + 176*z - 2 wrt z?
102258
What is the first derivative of -381620*p + 58249 wrt p?
-381620
Find the third derivative of o**5 + o**4 + 5624*o**3 - 17*o**2 + 341*o wrt o.
60*o**2 + 24*o + 33744
Differentiate -2650764*l**3 - 4949528 wrt l.
-7952292*l**2
Differentiate -u**4 - u**3 + 92*u**2 - 34*u - 197252 wrt u.
-4*u**3 - 3*u**2 + 184*u - 34
Find the second derivative of 17819*i**5 + 56*i**3 + 5692846*i.
356380*i**3 + 336*i
Find the third derivative of -42*h**2*y**3 + 1081*h**2*y - h**2 - 516*h*y**3 + 2*h*y**2 + 6*h wrt y.
-252*h**2 - 3096*h
What is the second derivative of 5*b**2*q**3 + 2*b**2*q**2 - 3*b**2*q - 505*b**2 + 1276*b*q**2 + 2*b*q + 3*b + 2 wrt q?
30*b**2*q + 4*b**2 + 2552*b
What is the second derivative of 110830*a**2 + 148385*a wrt a?
221660
What is the second derivative of 350*t**5 - 145*t**2 + 171681*t + 1?
7000*t**3 - 290
Find the third derivative of -1709830*y**3 - 95601*y**2 + 1.
-10258980
What is the second derivative of -51*b**5 + 30*b**4 + b**3 + 3*b + 33419 wrt b?
-1020*b**3 + 360*b**2 + 6*b
Differentiate -305784*r + 432008 with respect to r.
-305784
Find the third derivative of -3156432*b**6 + 14*b**2 + 12628.
-378771840*b**3
Find the second derivative of 127505*t**5 - 120300*t wrt t.
2550100*t**3
What is the first derivative of -30*j*n**3 + 8377*j*n**2 - 434618*n**3 wrt j?
-30*n**3 + 8377*n**2
Find the third derivative of 567*j**6 - 41*j**3 - 44454*j**2.
68040*j**3 - 246
What is the first derivative of -11447*c*g + 52*c*i + g*i + 3*g - 2*i + 159170 wrt c?
-11447*g + 52*i
Find the second derivative of 10081*q**4 - 3*q**3*w - q**3 + 4*q*w - q - 9*w - 35 wrt q.
120972*q**2 - 18*q*w - 6*q
Find the second derivative of -212996*i**3*o - 2*i*o + 5*i - o - 537 wrt i.
-1277976*i*o
Find the first derivative of 5650*v**4 + 21*v**3 + 1145562.
22600*v**3 + 63*v**2
What is the derivative of -12*f**2*g**3 + 10235*f*g**3 + 2*g**3 + 7357*g - 8 wrt f?
-24*f*g**3 + 10235*g**3
Find the first derivative of u**3*x**2 - 2*u**3*x - 2*u**3 - 36779*u**2 - 119112*u*x + u wrt x.
2*u**3*x - 2*u**3 - 119112*u
Find the second derivative of -3*b**3*g + b**3 + 1016*b**2*g - b*g + b - 34*g - 53 wrt b.
-18*b*g + 6*b + 2032*g
Find the third derivative of 2*q**5 + 249100*q**4 + 432*q**2 + 5*q - 3.
120*q**2 + 5978400*q
What is the second derivative of -22455*b**4 + 9218*b wrt b?
-269460*b**2
Differentiate -7527*s**3 + 70*s**2 - 1961060 wrt s.
-22581*s**2 + 140*s
Find the second derivative of -630620*j**2 + 1525*j + 15.
-1261240
Differentiate -486004*q + 1276280 wrt q.
-486004
Find the third derivative of -56*p**4 - 819*p**3 + 5*p**2 + 8*p + 291.
-1344*p - 4914
What is the third derivative of 346*i**3*j*x**2 - 2*i**3*j*x + 2*i**3*x**3 + 591*i*x**2 - 178508*j*x**3 wrt x?
12*i**3 - 1071048*j
What is the derivative of 692366*d**3 - 3611858?
2077098*d**2
What is the third derivative of -3*p**6 + p**4 + 15266*p**3 - p**2 + 2749*p?
-360*p**3 + 24*p + 91596
Find the second derivative of -2*o**3 - 1223950*o**2 - 987021*o wrt o.
-12*o - 2447900
What is the first derivative of 963070*o**2 + 4606160 wrt o?
1926140*o
What is the third derivative of -s**6 - 881*s**4 + 41347*s**2 wrt s?
-120*s**3 - 21144*s
What is the second derivative of -5*j**2*k*p + 191*j**2*k + 6*j**2*p - j*k + j*p + 5207*p + 1 wrt j?
-10*k*p + 382*k + 12*p
Find the third derivative of 2*j**5*u**3 - 63344*j**5*u + 11*j**2*u**3 + j**2 - 303*u**3 - u wrt j.
120*j**2*u**3 - 3800640*j**2*u
Find the second derivative of 214*k*r**2*v**2 - 963*k*r**2*v + 27*k*r - 2*k - r**2*v - 12*r*v**2 - 22*r - 2 wrt r.
428*k*v**2 - 1926*k*v - 2*v
Find the third derivative of -j**5 - 429094*j**3 - 5614*j**2 - 195*j wrt j.
-60*j**2 - 2574564
What is the second derivative of 2588*a**4 + 5148*a?
31056*a**2
Find the second derivative of -9*o**4 - 4*o**3 - 233*o**2 + 213*o + 43.
-108*o**2 - 24*o - 466
What is the second derivative of 3314451*p**3 - 1160125*p wrt p?
19886706*p
What is the derivative of 252484*k*l + 222199*l wrt k?
252484*l
Differentiate -2*q**4 + 2*q**3 - 244396*q**2 - 521491 with respect to q.
-8*q**3 + 6*q**2 - 488792*q
What is the derivative of -30*d**4*z**2 + 2326*d**4 - 224404*z**2 wrt d?
-120*d**3*z**2 + 9304*d**3
Differentiate 25*b**3 - 1791*b**2 + b + 20382 wrt b.
75*b**2 - 3582*b + 1
Find the first derivative of 8484*s**2 - 13*s - 2440438 wrt s.
16968*s - 13
What is the second derivative of i**2*l**2 + 47*i**2*l + 55*i**2 - 128*i*l**2 - 30*i - 4*l wrt i?
2*l**2 + 94*l + 110
Find the third derivative of -u**5 - 26*u**4 + 39835*u**3 - 2461965*u**2.
-60*u**2 - 624*u + 239010
Find the second derivative of -161*d**2*h**2 - 2*d**2*h*r + 337*d**2*h + d**2*r**2 - 3*d*h**2 + d*h*r**2 + 622*d*r**2 - 537*h**2*r**2 wrt h.
-322*d**2 - 6*d - 1074*r**2
Find the third derivative of -202942*o**4 - 222*o**2 - 1974.
-4870608*o
Find the third derivative of 805878*m**3 - 2*m**2 + 1014*m - 161.
4835268
Find the third derivative of -67132*g**2*y**4 + 5*g**2*y + 5717*g*y**2 wrt y.
-1611168*g**2*y
Differentiate 50*d**2*g*r**2 - 205*d**2*r**2 + d**2*r - 110*d*g*r - 10*g*r + 2*r**2 + 204*r with respect to g.
50*d**2*r**2 - 110*d*r - 10*r
Find the third derivative of -182*t**5 + 171*t**4 + t**3 + 340011*t**2.
-10920*t**2 + 4104*t + 6
What is the third derivative of -97*r**5 + 799*r**4 - 523065*r**2?
-5820*r**2 + 19176*r
Differentiate -785802*g**2 + 70799.
-1571604*g
What is the third derivative of -103418*b**4 - 5*b**3*z**3 + 2*b**2 + b*z**2 - 3*z**3 + 47*z**2 + 37 wrt b?
-2482032*b - 30*z**3
What is the third derivative of -341*h**6 + 3*h**4 - 121*h**3 + 16196*h**2 - h - 2?
-40920*h**3 + 72*h - 726
Find the third derivative of 55*m**2*u**3 + 3*m**2 - 375*m*u**4 - 721*m*u**2 wrt u.
330*m**2 - 9000*m*u
Differentiate 52051*p**2 + 78284 with respect to p.
104102*p
What is the second derivative of -11*j**5 + 3*j**4*z + 360*j**3 - 7*j*z + 7*j - 28 wr
|
{
"pile_set_name": "DM Mathematics"
}
|
(c)).
-2*c**4
Let p(y) = 7*y**2 + 3*y. Let m(l) = -13*l**2. Give p(m(t)).
1183*t**4 - 39*t**2
Let f(z) = 4*z**2 + 6. Let n be (-32)/6 - 4/6. Let h(x) = -4*x**2 - 5. Let y(m) = n*h(m) - 5*f(m). Let c(v) = -3*v**2. Give y(c(b)).
36*b**4
Let h(s) = s. Let d(u) = -2087*u. Determine h(d(w)).
-2087*w
Let m(k) = -k. Let q(w) = -w - 2. Let h be q(-4). Let t(c) = 0*c - 4*c - h*c + 2*c. What is t(m(z))?
4*z
Let m(h) = -h. Let k(d) = 3*d. Let a(v) = k(v) - m(v). Let s(z) = 15*z**2 - 24. Let b(r) = -3*r**2 + 5. Let y(i) = 24*b(i) + 5*s(i). Calculate a(y(o)).
12*o**2
Let k(x) = -x + 3*x - x. Let z(t) = 233 - 115 - 2*t - 118. Determine z(k(b)).
-2*b
Let v(d) be the second derivative of d**3/3 - 2*d. Let x(f) = 12*f**2 - 10*f**2 - 2*f + 2*f. What is x(v(b))?
8*b**2
Let z(y) = 9*y. Let c(a) = a**2 - 5*a - 5. Let r(u) = 2*u + 2. Let v(t) = -6*c(t) - 15*r(t). What is v(z(o))?
-486*o**2
Let z(d) be the third derivative of d**4/6 + 23*d**2. Let l(g) = 11*g. Calculate z(l(u)).
44*u
Let n(h) = -h**2 - 23*h. Let z(f) = 5*f**2. Determine z(n(w)).
5*w**4 + 230*w**3 + 2645*w**2
Let d(k) = 86*k**2. Let c(a) = -3*a - 14. What is c(d(v))?
-258*v**2 - 14
Let i(p) = -2*p**2 - 3*p**2 + 3*p**2. Let z(w) = 2*w + 3. Let t(l) = -l - 1. Let q(h) = -12*t(h) - 4*z(h). What is i(q(o))?
-32*o**2
Let u(a) = -8*a**2. Let t(w) = -3*w**2 - 6*w + 6. Let s(m) = -6*m**2 - 13*m + 13. Let g(v) = -6*s(v) + 13*t(v). Determine u(g(x)).
-72*x**4
Let s(a) be the second derivative of a**3/2 + a. Let j be 2/(-4) + (-6)/(-4). Let d(u) = -3*u**2 - 1 + 2*u**2 + j. Calculate d(s(f)).
-9*f**2
Let g(f) = -2 - f + 2. Let x(b) = 20*b + 15*b + 22*b - 61*b. Calculate g(x(q)).
4*q
Let z(n) = -46*n + 101*n - 3 - 46*n. Let m(s) = -2*s. What is m(z(k))?
-18*k + 6
Let m(p) = -4*p. Let r be (4/(-6) + 0)*3. Let i(j) = 8*j. Let o(s) = r*i(s) - 5*m(s). Let u(g) be the third derivative of -g**5/60 + 9*g**2. What is u(o(y))?
-16*y**2
Suppose -7 + 1 = -3*i. Let c(w) = 5*w**2 - w**2 - 3*w**2 - 2*w**i. Let t(o) = -o. Give t(c(j)).
j**2
Let d(q) = q**2 + q - 65. Let v(y) = 4*y. What is d(v(k))?
16*k**2 + 4*k - 65
Let o(i) = 255*i**2. Let n(u) = -6*u**2. Give o(n(v)).
9180*v**4
Let n(j) = -j + 2. Let k(m) = -4*m + 9. Let z(t) = 2*k(t) - 9*n(t). Let f(i) = -47*i. What is z(f(y))?
-47*y
Let r(h) = -5*h**2. Let x(v) = -29*v**2. Give r(x(w)).
-4205*w**4
Let q(z) be the first derivative of -z**3/3 + 1. Let h(n) = -3*n**2. Give h(q(k)).
-3*k**4
Suppose -p + 2 = 3*l, 2*p = 5*l - l + 4. Let u(g) = -g**p + g - g. Let z(b) be the first derivative of b**2/2 + 1. What is u(z(n))?
-n**2
Let g(o) = 2*o. Let i(w) = w**2. What is i(g(q))?
4*q**2
Suppose 2*p + 3*p = 10. Let q(c) = c**p - c**2 + c**2. Let k(v) be the first derivative of 2*v**3/3 - 3. What is q(k(r))?
4*r**4
Let o(m) = -2*m. Let a(d) = -24*d**2 - 1 + 1 + 28*d**2. What is o(a(u))?
-8*u**2
Let k(d) = 7*d**2 + 15*d + 8*d - 23*d. Let n(i) = i**2. Give n(k(r)).
49*r**4
Let m(j) = 19*j. Let f(c) = -15*c. Give m(f(i)).
-285*i
Let b(a) = -2 + a**2 + 2. Let z(r) be the first derivative of r**4/12 + 3*r + 2. Let x(c) be the first derivative of z(c). Calculate b(x(p)).
p**4
Let x(j) = j + 3*j + 0*j. Let t(g) be the third derivative of 0*g**3 + 0 + 3*g**2 + 1/12*g**4 + 0*g. Give t(x(d)).
8*d
Let o(y) = y - 3*y + 4*y. Let u(d) = 3*d**2. What is o(u(h))?
6*h**2
Let i(j) = -64*j. Let q(t) = -17*t. Calculate i(q(d)).
1088*d
Let a(w) be the second derivative of -2*w**3/3 + 4*w. Let g(l) = 12*l. Give a(g(k)).
-48*k
Let x(g) be the second derivative of g**5/30 + 7*g**3/6 + 5*g. Let p(b) be the second derivative of x(b). Let a(h) = 3*h**2. Give p(a(d)).
12*d**2
Let y(r) = r. Let a = 7 - 4. Let v be ((-1)/(-2))/(a/6). Let o(q) = 2*q - q + v - 1. What is y(o(z))?
z
Let m(g) = -16*g + 64. Let h(w) = w**2. Give h(m(n)).
256*n**2 - 2048*n + 4096
Let f(p) = -16*p. Let v(j) = -32*j. Calculate f(v(w)).
512*w
Suppose 0*x = 3*x - 9. Let t(a) = 4*a - 2*a - x*a. Let r(l) be the third derivative of -l**4/6 + 16*l**2 - 4*l. Calculate r(t(m)).
4*m
Let j(t) = t. Let d(i) = i + 1417. Determine j(d(l)).
l + 1417
Let x(q) = -36*q. Let r(a) = -7*a - 1. What is r(x(s))?
252*s - 1
Let m(z) = z**2. Let u(k) be the third derivative of k**7/1008 - k**5/30 + 3*k**2. Let d(r) be the third derivative of u(r). Give d(m(s)).
5*s**2
Let l(g) = -4*g**2. Let z(r) = -673*r**2. What is l(z(u))?
-1811716*u**4
Let h(w) = -2364*w**2. Let y(j) = -2*j. Give h(y(r)).
-9456*r**2
Let m(v) = -253*v**2. Let p(k) = -15*k. What is p(m(h))?
3795*h**2
Let w(f) = 10*f**2 - 6*f + 12. Let b(g) = -10*g**2 + 5*g - 10. Let l(d) = -6*b(d) - 5*w(d). Let x(a) = 4*a. What is l(x(y))?
160*y**2
Let d(i) = -i**2. Let a(s) = -8*s - 3. Determine a(d(j)).
8*j**2 - 3
Let l(f) be the first derivative of 4*f**3/3 - 1. Let g(y) = 8*y**2 - 6*y - 6. Let b(k) = -15*k**2 + 11*k + 11. Let q(w) = -6*b(w) - 11*g(w). Give q(l(h)).
32*h**4
Let u(i) = -12*i**2 + 31. Let f(x) = 6*x**2. Give u(f(n)).
-432*n**4 + 31
Let s(u) be the first derivative of u**3/3 + 7. Let x(y) = -8*y. Determine s(x(m)).
64*m**2
Let x(i) = -2*i**2. Let v(g) = 89*g - 84*g + 1 - 1. Determine x(v(n)).
-50*n**2
Let p(a) = -2*a**2. Let v(y) = -92*y**2. Determine v(p(n)).
-368*n**4
Let b(n) = 4*n**2. Let k(i) = 3657*i. What is b(k(y))?
53494596*y**2
Let q(m) = m. Let c be (12/10)/((-3)/10). Let z be 2*2 - c/(-2). Let i(w) = 2 - 2 - z*w. Give q(i(p)).
-2*p
Suppose 7*w - 5*w = 6. Suppose w*a + 3*q = 3, -4*a - 3*q = -2 - 3. Let f(g) = -10 + 10 + g**a. Let p(s) = -s. Determine f(p(u)).
u**2
Let p(r) = -2*r**2 + 5. Let i(y) = 2*y**2 - 6. Let u(k) = 5*i(k) + 6*p(k). Let l(n) be the first derivative of -3/2*n**2 + 3 + 0*n. What is u(l(f))?
-18*f**2
Let f(d) = d**2. Let o(q) = -60*q**2. What is f(o(s))?
3600*s**4
Let j(x) = -3*x. Let i(a) = 29*a**2 - 67*a. Calculate j(i(t)).
-87*t**2 + 201*t
Let j(u) = u**2. Let b(y) be the second derivative of -y**5/60 + y**2 + 4*y. Let w(m) be the first derivative of b(m). Determine w(j(g)).
-g**4
Let h(r) = 10*r**2 - 17*r**2 + 12*r**2. Let l(i) = -3*i**2. Calculate l(h(z)).
-75*z**4
Let y(d) = -7*d**2 - 6*d - 6. Let l(x) = x**2 + x + 1. Let n(h) = -6*l(h) - y(h). Let z(q) = 10*q**2. What is n(z(i))?
100*i**4
Let f(v) = -4*v**2. Let b(q) be the first derivative of 4*q**2 + 5*q - 2. Let h(w) = -4*w - 3. Let j(o) = 3*b(o) + 5*h(o). What is j(f(n))?
-16*n**2
Let v(m) = -9*m**2. Let l(n) = -90*n. Determine l(v(j)).
810*j**2
Let p(l) = -15*l + 5*l - 4*l. Let i(o) = -2*o**2. Calculate p(i(t)).
28*t**2
Let i(d) = -4*d. Let t(w) = 2*w**2 - 106. Determine t(i(x)).
32*x**2 - 106
Let n(i) be the second derivative of -i**3/6 - i**2 - 3*i. Let u be n(-6). Let q(t) = 1 - 1 - u*t + 0. Let w(c) = 2*c. Determine w(q(x)).
-8*x
Let v(x) be the second derivative of x**6/360 - 5*x**3/6 - 5*x. Let b(i) be the second derivative of v(i). Let k(q) = -2*q. What is b(k(t))?
4*t**2
Let b(c) = -7*c**2 - 5*c - 5. Let i(w) = -3*w**2 - 2*w - 2. Let s(o) = -2*b(o) + 5*i(o). Let n(g) = -13*g**2. Give n(s(d)).
-13*d**4
Let g(y) = -y - 3. Let p be g(-5). Let c(k) = -4*k**2 + 0*k**p + k**2. Let o(r) = -2*r**2. Calculate o(c(w)).
-18*w**4
Let t(p) = -2*p. Let i = 1 - -2. Suppose -2*g - 13 = -5*m + 13, 3*m = -4*g. Let j(x) = i*x - m*x - x. What is t(j(k))?
4*k
Let c(w) = w**2 + 4. Let h(k) = k**2 + 5. Let t(v) = 5*c(v) - 4*h(v). Let p(o) = o. Calculate t(p(g)).
g**2
Let z(f) = -3*f**2 - 1 + 1. Let g(t) = -t - 2. Let w(i) = -4*i - 7. Suppose -3*a + 36 = -6. Let v(l) = a*g(l) - 4*w(l). Determine z(v(y)).
-12*y**2
Let u(a) = 3*a**2 - 4*a + 4. Let v(d) = -4*d**2 + 5*d - 5. Let x(p) = 5*u(p) + 4*v(p). Let f(j) = -50*j - 43*j + 88*j. Give f(x(n)).
5*n**2
Let k(o) = -o. Let v(w) = w**2 + w**2 + w**2 - 4*w**2 + w. Let l(y) = -y. Let t(q) = -l(q) - v(q). What is t(k(i))?
i**2
Suppose 5*t - 2*u - u = 5, 5*u - 4 = -4*t. Let h(f) = -t - 1 + 2*f + 2. Let g(z) = -5*z. Determine h(g(w)).
-10*w
Let a(k) = -6616*k. Let s(q) = -q. Determine s(a(m)).
6616*m
Let y(g) = -12*g + 8. Let d(h) = -3*h**2. Give d(y(i)).
-432*i**2 + 576*i - 192
Let s(g) = 2*g + 0*g - 4*g. Let p(h) be the second derivative of 0*h**2 - 1/6*h**3 + 0 - h. Give p(s(a)).
2*a
Let u(y) = 2*y. Let n be 14/4 + 9/(-6). Let q(j) = 4*j**n - 4*j**2 - j**2. Give u(q(p)).
-2*p**2
Let s(z) = 20*z**2 - 11*z. Let q(g) = 7*g**2 - 4*g. Let m(p) = 11*q(p) - 4*s(p). Let w(a) =
|
{
"pile_set_name": "DM Mathematics"
}
|
llect the terms in -115*n - 124*n + 242*n.
3*n
Collect the terms in -2*k + 14*k**2 + 0*k**2 + 2*k.
14*k**2
Collect the terms in -52*d**2 + 19*d**2 + 20*d**2 + 16*d**2.
3*d**2
Collect the terms in 25*w - 8*w**3 - 25*w + 2.
-8*w**3 + 2
Collect the terms in 286*z**3 - 85*z**3 - 100*z**3 - 108*z**3.
-7*z**3
Collect the terms in 5 + 3 + 9*f - 8 - 3*f.
6*f
Collect the terms in 54*b**2 - 110*b**2 - 156*b**2.
-212*b**2
Collect the terms in 2 - 3 + 1 + 14*h.
14*h
Collect the terms in -7606*q + 6*q**2 + 7606*q.
6*q**2
Collect the terms in 13 + 14 - 34 + 7 - 2*k.
-2*k
Collect the terms in -8*q + 5*q - 2*q - 5*q.
-10*q
Collect the terms in 3359*m - 6721*m + 3354*m.
-8*m
Collect the terms in 3*s**3 + 1019*s - 511*s - 510*s.
3*s**3 - 2*s
Collect the terms in -18*r**3 + 9*r**3 - r + 2*r - r.
-9*r**3
Collect the terms in 19*s**2 - 12*s**2 - 8*s**2 - 12*s**2.
-13*s**2
Collect the terms in -2*h + h**3 + 18*h**3 + 2*h.
19*h**3
Collect the terms in -1370*u + 1390*u - 5 + 5.
20*u
Collect the terms in 39*n**3 + 60*n**3 + 70*n**3.
169*n**3
Collect the terms in -412 + 412 + 7*b**2.
7*b**2
Collect the terms in -h**2 - 11*h**2 + 7*h**2.
-5*h**2
Collect the terms in -18*w + 104*w + 18*w.
104*w
Collect the terms in 241*g - 241*g + 27*g**2.
27*g**2
Collect the terms in -4*n**2 - 2*n**2 - 5*n**2.
-11*n**2
Collect the terms in 36*l**2 + 63*l**2 - 99*l**2 - 5*l**3 + 0*l**3.
-5*l**3
Collect the terms in -12*x**2 + 4651*x - 4651*x.
-12*x**2
Collect the terms in -13*t + 33*t - 12*t.
8*t
Collect the terms in 1137 - 1137 + 7*g.
7*g
Collect the terms in 9*l**2 + 4*l**2 - l**2.
12*l**2
Collect the terms in -1 - 25*w**2 + 156*w**2 - 1.
131*w**2 - 2
Collect the terms in 30*b - 1 + 21*b - 13*b + 16*b.
54*b - 1
Collect the terms in g**3 - 5*g**3 - 9*g**3.
-13*g**3
Collect the terms in -33*i - 32*i - 33*i + 135*i - 39*i.
-2*i
Collect the terms in 61*z + 40*z + 69*z.
170*z
Collect the terms in 583*b - 583*b + 27*b**2 + 2*b**2.
29*b**2
Collect the terms in -2*b**3 - 2*b**3 + 5*b**3.
b**3
Collect the terms in -2025 + 879 - 1640 + 2*c.
2*c - 2786
Collect the terms in -22*u + 20*u - 15*u.
-17*u
Collect the terms in 491*m + 3*m**2 - 491*m.
3*m**2
Collect the terms in 9*w - w**2 + 4*w - w.
-w**2 + 12*w
Collect the terms in 22*q**3 + 19*q**3 - 59*q**3 + 17*q**3.
-q**3
Collect the terms in 136*n**3 - 60*n**3 - 57*n**3.
19*n**3
Collect the terms in 4*d - 11*d + 33*d.
26*d
Collect the terms in -12*z**3 - 18*z**3 + 27*z**3.
-3*z**3
Collect the terms in -7*m**2 - 21*m**2 - 4*m + 4*m.
-28*m**2
Collect the terms in -1 + 1 - 14*c**2.
-14*c**2
Collect the terms in 364 - 364 + 6*n**2.
6*n**2
Collect the terms in 4*n**2 - 6*n**2 + 9*n**2.
7*n**2
Collect the terms in 8*m**3 - 4*m**3 - 20*m**3 - 9*m**3.
-25*m**3
Collect the terms in 42*g + 30*g + 10*g + 5 - 3.
82*g + 2
Collect the terms in -20*z - 12*z**3 + 13*z + 7*z.
-12*z**3
Collect the terms in -16*b**3 - 26*b + 13*b + 15*b.
-16*b**3 + 2*b
Collect the terms in -5*x**2 - 1737*x + 1737*x + 7*x**2.
2*x**2
Collect the terms in -4*t**2 - 4*t**2 + t**2 + 9*t**2 - 3*t**2.
-t**2
Collect the terms in -5*c**3 - 5*c**3 + 8*c**3.
-2*c**3
Collect the terms in 4*s - 4*s + 4*s + s - 4*s.
s
Collect the terms in 7*g - 6*g + 0*g - 6*g.
-5*g
Collect the terms in 3*a + 0*a + 2*a.
5*a
Collect the terms in 2*x**2 - 2*x**2 - 7*x**2.
-7*x**2
Collect the terms in -18*d + 149*d - 5*d + 248*d.
374*d
Collect the terms in 14*g**3 + 8*g**3 - 3*g**3 + g**3.
20*g**3
Collect the terms in 11*a - 15*a + 75*a + 26*a.
97*a
Collect the terms in -7*i + 2*i**3 - 6*i + 21*i - 8*i.
2*i**3
Collect the terms in -21*h + 3*h**3 - 20*h - 24*h + 65*h.
3*h**3
Collect the terms in 2*b - 821 + 821.
2*b
Collect the terms in -4 - 7 - 9 + 2*a.
2*a - 20
Collect the terms in i - 140 + 140 - i + 3*i**3.
3*i**3
Collect the terms in 63*m**3 - 15*m**3 + 54*m**3.
102*m**3
Collect the terms in -26*a**2 - 1 - 37*a**2 - 1 + 3.
-63*a**2 + 1
Collect the terms in -18*z + 14*z + 29*z.
25*z
Collect the terms in 149 - 2*w**2 - 298 + 149.
-2*w**2
Collect the terms in 108*m - 219*m + 110*m.
-m
Collect the terms in -14*h**2 - h**2 + h**2.
-14*h**2
Collect the terms in 317*l**3 + 311*l**3 - 929*l**3 + 307*l**3.
6*l**3
Collect the terms in -209*p + 209*p + 23*p**3.
23*p**3
Collect the terms in v**3 - 3706*v + 3*v**3 + 3706*v - 2*v**3.
2*v**3
Collect the terms in -7 - 2 + 9 - 5*r + 6*r.
r
Collect the terms in -5 + 18 - 13 + 7*i.
7*i
Collect the terms in -3*n + 66*n**2 - n + 5*n - 37*n**2.
29*n**2 + n
Collect the terms in 684*y - 10*y**2 + 680*y - 1364*y.
-10*y**2
Collect the terms in -15*n**3 + 4*n**3 - 5*n**3.
-16*n**3
Collect the terms in -3*f**2 - 4*f**2 - 2*f**2 - 3*f**2.
-12*f**2
Collect the terms in -8*z - 12*z - 9*z - 3*z.
-32*z
Collect the terms in -26*u**2 - 47*u**2 + 9*u**2.
-64*u**2
Collect the terms in 2*t**2 - 123 - 2*t**2 + 3*t**2.
3*t**2 - 123
Collect the terms in 1 - 2*l - 5 - 3*l.
-5*l - 4
Collect the terms in -9*z**2 - 2*z**2 + 757 - 770.
-11*z**2 - 13
Collect the terms in 37753*o - 18877*o - 18879*o.
-3*o
Collect the terms in 580*k**2 + 601*k**2 - 1179*k**2.
2*k**2
Collect the terms in 133*j - 5 - 91*j + 5.
42*j
Collect the terms in -173*k - 163*k - 184*k + 79*k.
-441*k
Collect the terms in -1 - 3*o - 11*o + 3*o.
-11*o - 1
Collect the terms in 4*k + 5*k - 8*k - 2*k.
-k
Collect the terms in 11*r**2 - 2*r - 19*r**2 + 7*r**2 + 2*r.
-r**2
Collect the terms in 147*j**2 - 72*j**2 - 76*j**2.
-j**2
Collect the terms in -1125*l**2 - 1157*l**2 + 2280*l**2.
-2*l**2
Collect the terms in -93*f + 271*f - 89*f - 88*f.
f
Collect the terms in 3*c**2 - 3*c**2 + 408*c**3 - 409*c**3.
-c**3
Collect the terms in 306*p + 3*p**2 - 154*p - 11*p**2 - 152*p.
-8*p**2
Collect the terms in 10179*x**2 - 20359*x**2 + 10182*x**2.
2*x**2
Collect the terms in -118*u**2 - 3 + 3 + 217*u**2.
99*u**2
Collect the terms in -6*b**3 - 19 - 15 - 9.
-6*b**3 - 43
Collect the terms in y - y - 4*y - 1.
-4*y - 1
Collect the terms in 1888*z - z**3 + 1882*z - 3770*z.
-z**3
Collect the terms in -29*l + 40 - 40.
-29*l
Collect the terms in -135 + 135 - 8*k.
-8*k
Collect the terms in -14*x**3 + 6*x**3 + 4*x**3.
-4*x**3
Collect the terms in 10*k**3 - 29*k**3 - 96*k**3.
-115*k**3
Collect the terms in 804 + 2*f**3 - 804.
2*f**3
Collect the terms in 20*n - 32*n + 13*n.
n
Collect the terms in -2*p + 2*p - 13*p**2 + 48*p**2.
35*p**2
Collect the terms in -4 - 15*a**2 + 4 + 28*a**2 - 10*a**2.
3*a**2
Collect the terms in -5*u**2 - 1 + 1 - 4.
-5*u**2 - 4
Collect the terms in -564*g - 2*g**2 + 3*g**2 + 564*g.
g**2
Collect the terms in -9*i**3 - 18*i**3 + 16*i**3.
-11*i**3
Collect the terms in -117 + 9*f + 117.
9*f
Collect the terms in c**3 - 19*c**2 - 3*c**2 + 22*c**2.
c**3
Collect the terms in -9*c**2 + 21*c**2 - 10*c**2 - 4*c**2.
-2*c**2
Collect the terms in 14*k**2 - 20*k**2 - 85*k**2.
-91*k**2
Collect the terms in -32*f - 162*f**2 + 32*f.
-162*f**2
Collect the terms in -5*i**3 - 52*i**3 + 5*i**3 - 27*i**3.
-79*i**3
Collect the terms in -4*w**2 - 496745*w - 3*w**2 + w**2 + 496745*w.
-6*w**2
Collect the terms in -17*m**3 + 33*m**3 - 12*m**3.
4*m**3
Collect the terms in -4*k**2 + 4*k**2 + 2*k**3 + 0*k**3 - 7*k**3.
-5*k**3
Collect the terms in 3*h + 1660*h**2 - 3*h.
1660*h**2
Collect the terms in -1912 + 1912 - 3*g.
-3*g
Collect the terms in 3*n**2 + 20409*n - 20409*n.
3*n**2
Collect the terms in 10*d**2 + 9*d**2 + 16*d**2 - 17*d**2.
18*d**2
Collect the terms in 4137*z**2 - 2072*z**2 - 2062*z**2.
3*z**2
Collect the terms in -124*t + 124*t + 28*t**3.
28*t**3
Collect the terms in -3*g**2 - 4*g**2 + 4*g**2 - 4*g**3 - 6*g**2.
-4*g**3 - 9*g**2
Collect the terms in 41*r**3 + 69*r**3 + 4*r**3.
114*r**3
Collect the terms in 16 - 27 + 11 - 4*t.
-4*t
Collect the terms in 14 + 11 - 9 - 3*f + 7.
-3*f + 23
Collect the terms in -18*c**2 + 2 + 12*c**2 - 4.
-6*c**2 - 2
Collect the terms in -5*a**3 + 1095*a - 1095*a.
-5*a**3
Collect the terms in -9*p**3 - p**2 + p**3 - 2*p**3.
-10*p**3 - p**2
Collect the terms in 41*i - 16*i + 9*i.
34*i
Collect the terms in -233 + k + k + k.
3*k - 233
Collect the terms in -23*t**2 + 3*t**2 + 10*t**2 - 43*t**2.
-53*t**2
Collect the terms in 457 - 457 + 11*p**2 + 3*p**2.
14*p**2
Collect the terms in 5 - 2 - 3 - 15*i**3.
-15*i**3
Collect the terms in -342*g**2 + 43*g**2 + 14*g**2.
-285*g**2
Collect the terms in -7*k + 23*k + 27*k - 10*k.
33*k
Collect the
|
{
"pile_set_name": "DM Mathematics"
}
|
2976.38mm?
82.97638
Convert 0.9053539 nanometers to millimeters.
0.0000009053539
What is 7/2 of a litre in millilitres?
3500
What is 0.804146 tonnes in nanograms?
804146000000000
What is 2.131821 months in years?
0.17765175
What is 0.4116915 litres in millilitres?
411.6915
What is 3301.553 millennia in years?
3301553
What is thirty-two fifths of a tonne in kilograms?
6400
Convert 185349.465 nanoseconds to weeks.
0.0000000003064640625
How many millilitres are there in fourty-eight fifths of a litre?
9600
What is twenty-five quarters of a day in hours?
150
What is 1/6 of a millennium in months?
2000
What is one tenth of a centimeter in micrometers?
1000
What is 51/5 of a litre in millilitres?
10200
How many milligrams are there in 5/8 of a gram?
625
What is 19282076.1 hours in weeks?
114774.2625
What is 259250.301us in days?
0.0000030005821875
How many years are there in 3/10 of a millennium?
300
What is 1/4 of a hour in minutes?
15
How many nanograms are there in 3/50 of a milligram?
60000
How many hours are there in 5453.7129 seconds?
1.51492025
How many nanoseconds are there in 0.5779348 hours?
2080565280000
What is 5/8 of a kilogram in grams?
625
What is 3/32 of a milligram in nanograms?
93750
How many milligrams are there in 59/5 of a gram?
11800
How many milliseconds are there in 11/8 of a second?
1375
How many nanometers are there in 3/25 of a micrometer?
120
What is 4.789457 tonnes in milligrams?
4789457000
What is 29/5 of a millennium in decades?
580
Convert 9404.955mg to micrograms.
9404955
Convert 0.3092346 kilometers to centimeters.
30923.46
What is 17/2 of a kilogram in grams?
8500
What is 7/8 of a gram in milligrams?
875
How many millilitres are there in three tenths of a litre?
300
How many millilitres are there in eleven quarters of a litre?
2750
How many nanograms are there in one tenth of a microgram?
100
Convert 2.480898ug to milligrams.
0.002480898
Convert 503011.89us to days.
0.000005821896875
What is 1/5 of a centimeter in millimeters?
2
What is five quarters of a millisecond in microseconds?
1250
How many nanograms are there in 432.6887t?
432688700000000000
How many decades are there in 321333.1 millennia?
32133310
How many decades are there in 6/5 of a millennium?
120
How many litres are there in 17697.95ml?
17.69795
What is 0.972873kg in grams?
972.873
How many months are there in 7/3 of a millennium?
28000
What is 40541.46 days in milliseconds?
3502782144000
How many meters are there in one fifth of a kilometer?
200
Convert 0.0080836 nanograms to grams.
0.0000000000080836
Convert 291077.6nm to millimeters.
0.2910776
How many kilograms are there in eleven tenths of a tonne?
1100
What is 9.2483 millennia in years?
9248.3
How many microseconds are there in three fifths of a millisecond?
600
How many centimeters are there in 43240.22mm?
4324.022
What is 31/5 of a meter in centimeters?
620
How many micrograms are there in 3/8 of a milligram?
375
What is 6/25 of a litre in millilitres?
240
Convert 421.2003 nanometers to centimeters.
0.00004212003
How many micrometers are there in three tenths of a centimeter?
3000
How many nanograms are there in five quarters of a microgram?
1250
What is 27/4 of a kilogram in grams?
6750
Convert 17.82349t to milligrams.
17823490000
What is eleven quarters of a micrometer in nanometers?
2750
What is 26.15808km in centimeters?
2615808
How many kilograms are there in seven halves of a tonne?
3500
What is 24.0539 meters in kilometers?
0.0240539
How many litres are there in 678.4187ml?
0.6784187
How many centuries are there in 2693.837 millennia?
26938.37
What is 1/9 of a week in seconds?
67200
What is 0.7301716mg in grams?
0.0007301716
What is 7.03401 meters in millimeters?
7034.01
Convert 86.66588 litres to millilitres.
86665.88
What is eighteen fifths of a gram in milligrams?
3600
How many seconds are there in 47694.65ms?
47.69465
What is 8.36599um in millimeters?
0.00836599
How many millilitres are there in 3/40 of a litre?
75
What is six fifths of a decade in months?
144
What is sixty-one halves of a centimeter in millimeters?
305
What is seven quarters of a millennium in months?
21000
Convert 34.87082 grams to tonnes.
0.00003487082
What is 6337.868mm in micrometers?
6337868
Convert 0.9598018l to millilitres.
959.8018
What is 1/20 of a litre in millilitres?
50
What is 11/4 of a micrometer in nanometers?
2750
How many micrometers are there in 76/5 of a millimeter?
15200
How many years are there in fifty-two fifths of a millennium?
10400
What is 17/4 of a litre in millilitres?
4250
How many micrograms are there in fourty-two fifths of a milligram?
8400
How many months are there in eleven eighths of a millennium?
16500
What is 0.6285418 minutes in milliseconds?
37712.508
What is 2/15 of a minute in milliseconds?
8000
How many millilitres are there in 26/5 of a litre?
5200
What is 912475.5 decades in years?
9124755
How many kilometers are there in 0.17549 meters?
0.00017549
How many years are there in 29/2 of a millennium?
14500
How many kilograms are there in 8845.82 tonnes?
8845820
How many millilitres are there in 444.2858l?
444285.8
How many millilitres are there in twenty-nine halves of a litre?
14500
Convert 60.49262ml to litres.
0.06049262
Convert 232204.4 milliseconds to nanoseconds.
232204400000
Convert 38098.38mm to centimeters.
3809.838
What is 3/32 of a milligram in nanograms?
93750
What is 4/15 of a day in minutes?
384
Convert 886.017 micrograms to milligrams.
0.886017
What is 154585.8 months in millennia?
12.88215
What is fifty-four fifths of a gram in milligrams?
10800
What is 110.1012km in centimeters?
11010120
How many millilitres are there in 6/25 of a litre?
240
Convert 288.346 nanograms to tonnes.
0.000000000000288346
What is 21/8 of a micrometer in nanometers?
2625
How many centuries are there in 7/2 of a millennium?
35
How many kilometers are there in 539.2169m?
0.5392169
What is 68270.37 millimeters in meters?
68.27037
What is 2.746882 decades in millennia?
0.02746882
How many micrograms are there in 3/5 of a milligram?
600
How many tonnes are there in 6653.248 kilograms?
6.653248
How many grams are there in 4901.51 nanograms?
0.00000490151
Convert 63639.94 decades to centuries.
6363.994
What is twenty-nine fifths of a millennium in months?
69600
Convert 63.76346l to millilitres.
63763.46
How many seconds are there in 9.671837 days?
835646.7168
What is seven quarters of a week in minutes?
17640
What is 238.7131ml in litres?
0.2387131
What is 3443.455m in micrometers?
3443455000
How many millilitres are there in nine tenths of a litre?
900
What is 19734.88 kilograms in nanograms?
19734880000000000
How many nanoseconds are there in 1.177976s?
1177976000
How many kilograms are there in 18/5 of a tonne?
3600
How many micrometers are there in five quarters of a millimeter?
1250
How many seconds are there in three fifths of a hour?
2160
How many minutes are there in eighteen fifths of a hour?
216
What is 1/18 of a week in seconds?
33600
How many millilitres are there in 3/50 of a litre?
60
Convert 15928.96 micrometers to nanometers.
15928960
What is 58.33712 centuries in millennia?
5.833712
How many nanoseconds are there in twenty-one fifths of a microsecond?
4200
What is eleven quarters of a microgram in nanograms?
2750
How many nanograms are there in 8/25 of a microgram?
320
How many micrometers are there in 1/5 of a millimeter?
200
What is 45823.89 millilitres in litres?
45.82389
How many micrograms are there in 822507.1mg?
822507100
What is 1/10 of a meter in centimeters?
10
How many hours are there in 5/6 of a week?
140
How many nanoseconds are there in 39546.34 minutes?
2372780400000000
How many minutes are there in 3.17539 weeks?
32007.9312
What is 132198.4um in centimeters?
13.21984
How many meters are there in thirty-one fifths of a kilometer?
6200
How many years are there in six fifths of a decade?
12
What is 11/4 of a year in months?
33
What is 4071.162 millennia in decades?
407116.2
How many years are there in 29/5 of a decade?
58
What is 28/3 of a day in minutes?
13440
Convert 8.741113l to millilitres.
8741.113
What is 36.37028 centuries in decades?
363.7028
What is 4.041351 micrometers in centimeters?
0.0004041351
How many seconds are there in 1/27 of a week?
2
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -6758 + 30643 = 5*p. Suppose -7*y - 1347 = -p. What is the units digit of y?
0
Suppose 19*y + 5*y = -9*y + 176583. What is the thousands digit of y?
5
Suppose 0 = 4*u + 5*g + 5, -u - 4*g = -1 + 5. Let f(l) = 191*l - 79. Let v be f(3). Suppose 0 = -5*r + 10, u*i + v = 2*i - 2*r. What is the tens digit of i?
4
Let h = 1135 + -541. Suppose 11*x = -110 + h. What is the units digit of x?
4
Let n(a) = 342*a**2 + 4*a - 4. Let u be (-6)/(-14) + (-2 - (-108)/42). What is the units digit of n(u)?
2
Let m be (-38)/(-57)*-1*180. Let c be (24/10)/(6*(-3)/m). Suppose 18*b - c*b - 348 = 0. What is the tens digit of b?
7
Let s = 353 + -797. What is the hundreds digit of (-1 + (-3)/(-9))*s?
2
Suppose 0 = 47*a + 168180 - 196221 - 283757. What is the thousands digit of a?
6
Let h = 24131 + -10519. What is the ten thousands digit of h?
1
Suppose 0 = -4*z + 2675 + 3049. Suppose z = 4*v - v. Suppose 5*b + 0*b = 3*h + v, -5*b = -h - 479. What is the tens digit of b?
9
Let g be (6/(-27) + 13/39)*9. What is the units digit of g/6*-9*5356/(-6)?
9
Suppose 23*i - 18*i - 10735 = -5*p, 0 = i + 4. Suppose -9*o + p = -819. What is the units digit of o?
0
Suppose -2*j + 4*g = -122, 3*g + 36 + 198 = 4*j. Let l = 44 - j. What is the units digit of (-13)/l*119/1?
9
Suppose -15*i + 68880 = 18*i - 5*i. What is the thousands digit of i?
2
Let s(i) = -1696*i - 9735. What is the tens digit of s(-22)?
7
Let p = -3054 - -5332. Suppose 2652 + p = 10*w. What is the hundreds digit of w?
4
What is the tens digit of 17300 - (2/3 + 4/(156/(-299)))?
0
Let o(w) = w**2 + 4*w. Let x be o(-4). Suppose 3*v + 9 = x, -v + 0 = -y + 1. What is the hundreds digit of -8*(-1)/4*(-155)/y?
1
Let z = 2971 - 2025. Suppose 12*m - 3802 + z = 0. What is the hundreds digit of m?
2
Let o = -3685 - -7551. What is the tens digit of o?
6
Suppose 4*g - 4*r - 10176 = 0, -2*r + 666 - 3206 = -g. Suppose 692 = 2*p - g. Suppose 0 = 23*v - 29*v + p. What is the hundreds digit of v?
2
Let r = 11155 - 4416. What is the units digit of r?
9
Let w(x) = 6*x**2 - 12*x + 38. Let o(r) = -2*r**2 + 4*r - 13. Let m(g) = 8*o(g) + 3*w(g). What is the tens digit of m(5)?
4
Suppose -i - 12*q = -7*q - 1988, -5*i - 2*q + 9986 = 0. What is the tens digit of i?
9
Suppose -5*a = -261 - 234. Suppose -4*l = -v + l - a, 2*l = 2*v + 174. Let h = v + 90. What is the units digit of h?
6
Suppose -30*d + 851 = -24010 - 56919. What is the tens digit of d?
2
What is the units digit of (51/3)/((-4)/(-1448)) - (-17 - -13)?
8
Suppose -2617*x + 2622*x = 30730. What is the units digit of x?
6
Let t(k) = -k**3 + 7*k**2 + 9*k + 17. Let a be t(9). Let h = -57 - a. Suppose h*v - 172 = 4*v + j, 275 = 5*v - 4*j. What is the units digit of v?
9
Let o be (13/((-52)/(-16304)))/4. Suppose -16*r = -17*r + 4*n + 1024, 0 = r + n - o. What is the units digit of r?
0
Let i(b) = -18073*b**3 - 13*b**2 - 37*b - 25. What is the hundreds digit of i(-1)?
0
What is the hundreds digit of ((-10633)/(-10) + (-34)/255)*6?
3
Let k = 62 + -57. Let t(y) = 5*y**2 - 3*y - 5. What is the hundreds digit of t(k)?
1
Let b(g) = -6*g + 26. Let u be b(4). Let f be (12/(-8))/(u/24). What is the tens digit of (1 + 24)*(f + 25)?
7
Suppose -2*c + 3*s - s - 4 = 0, 3*s = -c - 10. What is the tens digit of (-4 - 50/c)*22?
8
Let y be 156/(-2) - (-8 + -6 + 21). Let u be (-2186)/(-8) - (-1)/(-4). Let s = u + y. What is the hundreds digit of s?
1
Suppose 18*c - 22*c + 12 = 0, 12 = 3*a + c. Suppose -2*s - 3*t + 724 = -1363, s = -a*t + 1036. What is the thousands digit of s?
1
Let i = -25675 + 33035. What is the thousands digit of i?
7
Let m(j) = -j**3 + 56*j**2 + 18*j - 101. What is the tens digit of m(28)?
5
Let p = -2 - -5. Suppose p = 2*q + 1. What is the tens digit of (3 - 0) + q/((-1)/(-71))?
7
Suppose -s + 18 = 3*s - 3*c, 0 = -5*c - 10. Suppose -1032 = -3*d + s*u, -3*d - 4*u = u - 1040. What is the units digit of d?
5
Let y(o) = 16*o - 22*o + o**3 - 2*o**3 - 10*o**2 - 16. Suppose 0 = -2*x - 3*h - h - 32, -5*x - 3*h - 59 = 0. What is the units digit of y(x)?
4
Suppose -11*d - 5*d = -784. Suppose 45*f = d*f - 12. What is the hundreds digit of (5 - (f + -2)) + 222?
2
Let g be 6/(-21) + ((-110)/7 - 2). Let z = 28 - g. Suppose -50*h = -z*h - 284. What is the tens digit of h?
7
Suppose -4*u = -5*g - 717, -4*u + 3*u = 2*g - 163. Suppose -618 = -179*h + u*h. What is the hundreds digit of h?
1
What is the thousands digit of 5/((-115)/(-342792)) + (-2)/2*-4?
4
Let y(w) = 4*w**3 + 36*w**2 - 122*w - 3. What is the units digit of y(4)?
1
Let i(w) = -9*w**2 - 3*w + 1. Let t be i(-6). Let s(x) = -451*x**3 + 2*x**2 + 6*x - 7. Let d be s(1). Let c = t - d. What is the units digit of c?
5
Let m be 2/7 - (-384)/28. Suppose -m*x - 123 = -2545. Let a = 398 - x. What is the units digit of a?
5
Let h(j) = -434*j - 208. What is the tens digit of h(-6)?
9
Let j = -89 - -33. Let s be 24/(-60) - j/(-10). What is the tens digit of s/3 - (1 - 211)?
0
What is the ten thousands digit of 14/(-63) + (-17)/((-1836)/5631252)?
5
Suppose 4*q = -4*k + 3*k + 18, -q - 1 = 0. Let x be (-4)/k - 3640/(-55). Let a = 32 + x. What is the units digit of a?
8
What is the ten thousands digit of 7/(189/12) + (-5812391)/(-117)?
4
Suppose 6*i - 24 = -6*i. Suppose -2657 = -5*z + i*q, -3*z + 960 + 647 = 2*q. What is the hundreds digit of z?
5
Let o(r) = 1349*r + 322. What is the tens digit of o(1)?
7
Suppose -l = 2*i - 18, -6 = -3*l - 5*i + 49. What is the tens digit of (-10)/l*(-779 + 2 + -3)?
9
Let v be (212 - -7) + -2 + 0 + 1. Let c(d) = 2*d**2 + 16*d - 2. Let g be c(-13). Let a = v - g. What is the tens digit of a?
9
Let h(f) = -f**3 + 6*f**2 + f + 8. Let a be h(3). Suppose a*q - 8640 = -16*q. What is the hundreds digit of q?
1
Let j be (3/6)/((-1)/2). What is the hundreds digit of j/((-5)/189)*(-7 + 12)?
1
Suppose 5 - 2 = -z. Let a be (3 - (-8)/z)*0. Suppose a = 3*o - 50 - 22. What is the units digit of o?
4
Suppose -9*s - 9 = -12*s. Suppose n + 10 = h, 0*h + 15 = 2*h + s*n. What is the units digit of -1 - (-1213)/h - 26/(-117)?
4
Let g be (2 - (-14)/(-4))/((-1)/2). Suppose -g*j + 4*w = -966, 0 = 2*j - w + 2*w - 633. Suppose -j = 3*s - 9*s. What is the tens digit of s?
5
Suppose 0 = 5*x - n + 8 - 33, -4 = -4*x + 4*n. Let v be (6/(-10))/(x/(-120)*4). What is the units digit of (6 + -2)*3/9*v?
4
Suppose -87*c - 1984917 = -215*c - 104597. What is the thousands digit of c?
4
Let l be 6/3*(-7)/14. What is the tens digit of (1*l)/((-28)/8624)?
0
Suppose 3*d - 3611 = -4*p, -98*p + 3619 = 3*d - 96*p. What is the tens digit of d?
0
Suppose 340*l = 356*l - 64. Suppose 27*b - 3*i = 32*b - 7261, 3*i - 5807 = -l*b. What is the tens digit of b?
5
Let o = -504 - -463. Suppose 0 = 3*p - 0 + 12. What is the units digit of o/(p/(16/2))?
2
Let i = 5301 + -2701. What is the hundreds digit of -3 - i/((-15)/3)?
5
Let o(h) = 84*h**2 + 11*h + 60. Let b(a) = -83*a**2 - 11*a - 56. Let t(k) = -6*b(k) - 5*o(k). What is the units digit of t(-4)?
0
Let t(a) = 31*a**2 - 16*a - 45. What is the units digit of t(14)?
7
Let q be (-30)/9 + 1/3. Let b = -1507 - -1527. What is the tens digit of ((-355)/b)/(q/12) + -1?
7
Suppose -314 = -241*a + 239*a. Suppose 11*f + 4*z = 13*f - 136, 2*f + 3*z = a. What is the tens digit of f?
7
What is the hundreds digit of (4/(-6))/(6925464/(-44995743) + 2/13)?
8
Suppose 0*m - m = q, -2*m - 3*q - 5 = 0. Suppose 2*w + 2*y + 4 = 8, -6 = w + m*y. What is the tens digit of (w/(-20) - (-204)/(-5))*-1?
4
Let s(v) = 6*v**2 - 50*v + 24. Let t be s(8). Let i(y) = 11*y**2 + 35*y - 17. What is the units digit of i(t)?
7
Let g(x) be the third derivative of -x**6/15 - x**5/30 + x**4/12 + 5*x**3/6 + 2*x**2 - 109*x. Suppose -j - j - 6 = 0. What is the units digit of g(j)?
7
Let w(h) = h**2 - h - 3. Let c be w(-7). Let f = -20 + c. Let l = f + -18. What is the units digit of l?
5
Suppose -2*d - 4*i = -39864, 99653 = 5*d + 74*i - 71*i. What is the units digit of d?
0
Let g(a) = -a**3 + 3*a**2 + 11*a - 1. Let s be g(5). Suppose s - 11 = -7*o. What is the units digit of ((-16)/(-10)*o)/((-2)/(-180))?
4
Let j be 9/(-21) - (-18)/(-7) - -12. Suppose j*u + 20 = -u. What is the tens digit of (1048/(-24))/(u/(9 + 3))?
6
Suppose -6*m - 373 = -22111. Suppose 3611 = 3*g - 2*p, -g = 2*g + 4*p - m. What is the units digit of g?
5
Let r(x) = x**3 - 12*x**2 + 12*x - 24.
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 13*c**3 + c**2 - 12*c = 0.
-4, -1, 0, 1, 3
Factor -c**3/8 - 375*c**2/4 + c/8 + 375/4.
-(c - 1)*(c + 1)*(c + 750)/8
Find o such that -4*o**4 + 40*o**3 - 80*o**2 - 40*o + 84 = 0.
-1, 1, 3, 7
Factor -5*g**4 - 75*g**3 + 270*g**2 + 4320*g - 12960.
-5*(g - 6)*(g - 3)*(g + 12)**2
Find s such that -8*s**2/7 - 34*s + 60/7 = 0.
-30, 1/4
What is l in -l**4 + 12*l**3 - 45*l**2 + 58*l - 24 = 0?
1, 4, 6
Suppose -20*l**5 - 100*l**4 + 75*l**3 + 100*l**2 - 55*l = 0. What is l?
-11/2, -1, 0, 1/2, 1
What is z in -5*z**4 + 21*z**3 + 246*z**2/5 + 28*z + 24/5 = 0?
-1, -2/5, 6
Factor f**3 - 7*f**2 + 6*f.
f*(f - 6)*(f - 1)
Let j**4/10 - 21*j**3/2 + 204*j**2/5 - 202*j/5 = 0. What is j?
0, 2, 101
Determine x so that 2*x**3/7 + 4*x**2 + 26*x/7 = 0.
-13, -1, 0
Factor 2*b**2/9 - 4*b/9 - 70/9.
2*(b - 7)*(b + 5)/9
Factor q**3/4 - 5*q**2/2 - 23*q/4 - 3.
(q - 12)*(q + 1)**2/4
Suppose m**3 + 5*m**2 - 77*m - 441 = 0. Calculate m.
-7, 9
Let 3*s**4/7 + 3*s**3 - 312*s**2/7 + 720*s/7 = 0. Calculate s.
-15, 0, 4
Determine r, given that 3*r**2/4 + 129*r + 5547 = 0.
-86
Factor 2*l**2/3 + 248*l/3 + 7688/3.
2*(l + 62)**2/3
Find j such that -j**2 + 12*j - 27 = 0.
3, 9
Factor -4*r**2 + 4*r + 24.
-4*(r - 3)*(r + 2)
Factor 7*c**4/2 - 8*c**3 + 2*c**2.
c**2*(c - 2)*(7*c - 2)/2
What is u in 15*u**4 - 441*u**3 + 2997*u**2 + 5265*u - 24300 = 0?
-3, 12/5, 15
Factor -3*j**2 + 3675*j + 3678.
-3*(j - 1226)*(j + 1)
Factor -3*c**2/2 - 63*c/2.
-3*c*(c + 21)/2
Factor 4*v**2 - 324*v + 6536.
4*(v - 43)*(v - 38)
Suppose 3*m**3/8 - 85*m**2/8 + 38*m - 73/2 = 0. Calculate m.
2, 73/3
Find p, given that -3*p**2/2 - 15*p/2 = 0.
-5, 0
Factor 2*q**4/5 + 16*q**3/5 - 12*q**2 + 64*q/5 - 22/5.
2*(q - 1)**3*(q + 11)/5
Determine b so that b**2/7 + 578*b/7 + 83521/7 = 0.
-289
Factor -2*y**5/15 - 176*y**4/5 - 524*y**3/5 - 1568*y**2/15 - 174*y/5.
-2*y*(y + 1)**3*(y + 261)/15
Solve -p**4/10 - 27*p**3/5 + p**2/10 + 27*p/5 = 0.
-54, -1, 0, 1
Let -5*g**5 + 75*g**4 - 365*g**3 + 525*g**2 + 370*g - 600 = 0. Calculate g.
-1, 1, 4, 5, 6
Factor -2*h**3/5 + 1448*h**2/5 + 2904*h/5.
-2*h*(h - 726)*(h + 2)/5
Determine t, given that -t**5/7 + 9*t**4/7 + 145*t**3/7 - 1965*t**2/7 + 6696*t/7 - 972 = 0.
-14, 2, 3, 9
Factor 32*w**5/5 - 48*w**4/5 - 6*w**3 + 10*w**2.
2*w**2*(w + 1)*(4*w - 5)**2/5
Find u, given that u**3 + 4*u**2 - 11*u + 6 = 0.
-6, 1
Suppose -q**3 - 57*q**2 - 1083*q - 6859 = 0. What is q?
-19
Determine x, given that x**4 + x**3 - 37*x**2 - 25*x + 300 = 0.
-5, -4, 3, 5
Solve n**3/3 + 3*n**2 + 20*n/3 + 4 = 0.
-6, -2, -1
Factor -4*b**3/7 + 100*b**2/7 - 88*b/7 - 192/7.
-4*(b - 24)*(b - 2)*(b + 1)/7
Solve 5*m**3 + 20*m**2 - 160*m = 0.
-8, 0, 4
Factor -2*p**2 - 192*p - 376.
-2*(p + 2)*(p + 94)
Factor 2*d**2/11 - 100*d/11 + 602/11.
2*(d - 43)*(d - 7)/11
Factor 2*w**4/3 - 2560*w**3/3 + 409600*w**2 - 262144000*w/3 + 20971520000/3.
2*(w - 320)**4/3
Factor c**2 + 198*c + 392.
(c + 2)*(c + 196)
Solve 23*q**4/4 + 25*q**3/4 + q**2/2 = 0 for q.
-1, -2/23, 0
Let -2*h**2/3 + 80*h/3 - 26 = 0. Calculate h.
1, 39
Factor 10*j**2 + 255*j - 130.
5*(j + 26)*(2*j - 1)
Factor -9*k**4 - 24*k**3 + 14*k**2 + 16*k + 3.
-(k - 1)*(k + 3)*(3*k + 1)**2
Factor -k**5/5 + 3*k**4 - 84*k**3/5 + 208*k**2/5 - 192*k/5.
-k*(k - 4)**3*(k - 3)/5
Solve 2*r**2/7 + 24*r/7 + 40/7 = 0.
-10, -2
Suppose -9*h**4 + 6*h**3 + 12*h**2 - 6*h - 3 = 0. What is h?
-1, -1/3, 1
Find a, given that -5*a**5 - 65*a**4 - 185*a**3 - 15*a**2 + 270*a = 0.
-9, -3, -2, 0, 1
Factor -d**3/4 - 15*d**2 + 607*d/4 - 483/2.
-(d - 7)*(d - 2)*(d + 69)/4
Factor -o**3/4 + 216*o**2 + o/4 - 216.
-(o - 864)*(o - 1)*(o + 1)/4
Factor -i**3 + 155*i**2/4 - 753*i/4 - 99/2.
-(i - 33)*(i - 6)*(4*i + 1)/4
Factor 2*j**3/9 + 1442*j**2 + 3119046*j + 2248832166.
2*(j + 2163)**3/9
Solve 2*d**4/3 + 14*d**3/3 + 6*d**2 - 14*d/3 - 20/3 = 0.
-5, -2, -1, 1
Let 2*j**2/23 - 86*j/23 - 88/23 = 0. What is j?
-1, 44
Determine b, given that b**4 + 4*b**3 + 2*b**2 - 4*b - 3 = 0.
-3, -1, 1
What is b in -4*b**5 - 58*b**4 + 236*b**3 - 282*b**2 + 108*b = 0?
-18, 0, 1, 3/2
Determine m, given that -5*m**4 + 30*m**3 + 25*m**2 - 210*m - 200 = 0.
-2, -1, 4, 5
Factor -5*k**3 + 722*k**2 - 288*k.
-k*(k - 144)*(5*k - 2)
Factor l**5/6 + l**4/2 - 5*l**3/3 + l**2/3 + 3*l/2 - 5/6.
(l - 1)**3*(l + 1)*(l + 5)/6
Solve -56*g**4 - 172*g**3 - 180*g**2 - 68*g - 4 = 0 for g.
-1, -1/14
Find k such that -2*k**2 - 48*k - 46 = 0.
-23, -1
Find l such that -5*l**5 + 115*l**4 - 895*l**3 + 2765*l**2 - 3600*l + 1620 = 0.
1, 2, 9
Find d such that 8*d**5 - 138*d**4 + 34*d**3 = 0.
0, 1/4, 17
Factor 2*q**3/3 + 10*q**2 - 108*q - 352/3.
2*(q - 8)*(q + 1)*(q + 22)/3
Suppose -3*n**5/4 - 53*n**4/2 - 162*n**3 + 1320*n**2 - 800*n = 0. Calculate n.
-20, 0, 2/3, 4
Factor -d**4 - 11*d**3 - 4*d**2 + 276*d + 720.
-(d - 5)*(d + 4)*(d + 6)**2
Factor -m**2/8 + 73*m/8 - 413/4.
-(m - 59)*(m - 14)/8
Factor d**2/4 - 27*d/2 + 729/4.
(d - 27)**2/4
Solve -5*c**2 - 315*c - 610 = 0.
-61, -2
Determine a, given that a**4/2 - 11*a**3 + 60*a**2 = 0.
0, 10, 12
Factor 2*y**5/5 - 12*y**4/5 + 26*y**3/5 - 24*y**2/5 + 8*y/5.
2*y*(y - 2)**2*(y - 1)**2/5
Let -b**5/10 + b**4/2 + b**3/2 - 5*b**2/2 - 2*b/5 + 2 = 0. Calculate b.
-2, -1, 1, 2, 5
Determine x so that 75*x**5/2 - 5955*x**4 - 26583*x**3/2 + 1407*x**2 + 6774*x - 1932 = 0.
-2, -1, 2/5, 161
Factor -21*p**3/2 + 9*p**2 + 255*p/2 + 18.
-3*(p - 4)*(p + 3)*(7*p + 1)/2
Determine b so that 2*b**2/3 - 128*b/3 + 122 = 0.
3, 61
Factor -g**5/3 - 19*g**4/3 + 14*g**3.
-g**3*(g - 2)*(g + 21)/3
Factor 20*w**3 + 56*w**2 + 52*w + 16.
4*(w + 1)**2*(5*w + 4)
Solve -2*v**5 - 6*v**4 + 12*v**3 + 52*v**2 + 54*v + 18 = 0.
-3, -1, 3
Factor -3*x**4 - 105*x**3 - 102*x**2.
-3*x**2*(x + 1)*(x + 34)
Let -2*y**4 + 40*y**3 - 102*y**2 = 0. What is y?
0, 3, 17
Suppose 2*g**3 + 96*g**2 + 1242*g + 2116 = 0. What is g?
-23, -2
Determine i so that 3*i**3 - 78*i**2 + 339*i + 420 = 0.
-1, 7, 20
Factor 4*d**2/5 - 952*d/5 + 56644/5.
4*(d - 119)**2/5
Find r such that -2*r**3 - 414*r**2 = 0.
-207, 0
Factor -3*u**2 + 8100*u - 5467500.
-3*(u - 1350)**2
Let -46*w**4/3 - 199*w**3/3 - 290*w**2/3 - 167*w/3 - 10 = 0. Calculate w.
-2, -1, -15/46
Solve -2*t**3 - 2*t**2 = 0.
-1, 0
Factor -5*c**4/2 - 270*c**3 - 1560*c**2 - 3080*c - 2040.
-5*(c + 2)**3*(c + 102)/2
Suppose -j**5 - 23*j**4 - 190*j**3 - 626*j**2 - 385*j + 1225 = 0. What is j?
-7, -5, 1
Factor -3*t**2 - 63*t.
-3*t*(t + 21)
Factor -3*i**2 - 84*i + 180.
-3*(i - 2)*(i + 30)
Let -5*v**5 + 125*v**4 - 715*v**3 - 845*v**2 = 0. What is v?
-1, 0, 13
Factor -2*r**3/5 - 32*r**2/5 - 22*r.
-2*r*(r + 5)*(r + 11)/5
Determine o so that -5*o**3 + 1060*o**2 + 20*o - 4240 = 0.
-2, 2, 212
Factor b**5/3 - 34*b**4/3 - 80*b**3.
b**3*(b - 40)*(b + 6)/3
Find y, given that 2*y**2 + 46*y - 48 = 0.
-24, 1
Suppose 3*z**3/7 - 114*z**2/7 + 1083*z/7 = 0. Calculate z.
0, 19
Factor -j**3/2 + 153*j**2/2 - 7803*j/2 + 132651/2.
-(j - 51)**3/2
Find y, given that -y**4/2 - y**3 + 130*y**2 + 900*y = 0.
-10, 0, 18
Factor -5*s**2 - 9315*s - 9310.
-5*(s + 1)*(s + 1862)
Let h**3 - 29*h**2 + 160*h + 768 = 0. What is h?
-3, 16
Factor h**2/5 - 6*h/5 + 9/5.
(h - 3)**2/5
Factor 4*g**2 - 20536*g + 26357956.
4*(g - 2567)**2
Suppose 6*x**3/5 + 742*x**2/5 + 736*x/5 = 0. Calculate x.
-368/3, -1, 0
What is t in -3*t**2 + 13*t - 12 = 0?
4/3, 3
Let -4*l**2 - 24*l + 28 = 0. What is l?
-7, 1
Let 10*i**4/9 + 104*i**3/9 - 10*i**2/3 - 1988*i/9 - 784/9 = 0. What is i?
-7, -2/5, 4
Factor 15*s**2 + 515*s - 350.
5*(s + 35)*(3*s - 2)
Determine t, given that 4*t**3/7 - 40*t**2/7 + 44*t/7 + 40 = 0.
-2, 5, 7
Determine l, given that 2*l**5/11 + 16*l**4/11 - 6*l**3/11 - 4*l**2 + 32*l/11 = 0.
-8, -2, 0, 1
Factor 4*x**2/7 - 68*x + 936/7.
4*(x - 117)*(x - 2)/7
Find i such that -35*i**5 - 275*i**4 + 145*i**3 + 895*i**2 + 430*i - 80 = 0.
-8, -1, 1/7, 2
Let 3*z**4 + 24*z**3 + 15*z**2 - 42*z = 0. What is z?
-7, -2, 0, 1
Solve 3*a**2 + 540*a - 1092 = 0 for a.
-182, 2
Factor i**3/7 + 9*i**2 - 66*i/7 - 128/7.
(i - 2)*(i + 1)*(i + 64)/7
Suppose 2*s**2/7 - 176*s/7 + 3872/7 = 0. What is s?
44
Factor m**2 - 34*m - 387.
(m - 43)*(m + 9)
Factor -2*c**3/7 + 2*c**2/7 + 40*c/7.
-2*c*(c - 5)*(c + 4)/7
Determine c so that c**3/7 - 100*c**2/7 + 379*c/7 + 480/7 = 0.
-1, 5, 96
Solve 4*m**4 - 64*m**3 + 252*m**2 - 368*m + 176 = 0 for m.
1, 2, 11
Find w such that 3*w**5 - 4932*w**4 + 19692*w**3 - 19680*w**2 = 0.
0, 2, 1640
Factor -c**3/3
|
{
"pile_set_name": "DM Mathematics"
}
|
+ l*r**3 and give j.
0
Express 40*o - 4*o**4 + 49*o + 22*o**2 + 39*o - 127*o in the form c*o**2 + j + r*o**4 + w*o + a*o**3 and give r.
-4
Express -4*q**4 + 22*q + 167*q**2 - 3 - 166*q**2 - 16*q as s*q + o*q**2 + g*q**4 + k + d*q**3 and give g.
-4
Rearrange 59*q + q**2 - 3*q**3 + 0 + 8*q**4 + 1 - 60*q - q**2 to the form w*q + x*q**4 + r*q**2 + s + c*q**3 and give c.
-3
Rearrange (10*w - 10*w + 3*w**2)*(-w - 5 + 5) + (2*w**3 - 3 + 3)*(110 + 113 - 345) to p*w + a*w**2 + z*w**3 + k and give z.
-247
Rearrange -521*s + 335*s - 5 + 4 to the form p*s + y and give y.
-1
Express -n - 161 - 182 + 393 - 177 as j*n + f and give j.
-1
Express -5*b + 13 + 9 - 24 + 5*b + 15 - 15 + (2*b - b - 3*b)*(4 + 3 - 5) in the form w*b + i and give i.
-2
Express (y**2 + 4 - 4)*(-4*y**2 + 4*y**2 + 2*y**2) + 2*y**4 + 0*y**4 - 3*y**4 + 39*y**4 - 17*y**4 + 65*y**4 as w + s*y + a*y**4 + k*y**2 + l*y**3 and give a.
88
Express -63 + 145 - 69 - 7*r**2 + 15*r**2 as q*r + z*r**2 + w and give z.
8
Express -28*x + 45*x + 1 - 19 as r*x + k and give k.
-18
Rearrange 51*j - 116*j + 65*j - 29*j**2 + 5 to b + p*j**2 + v*j and give p.
-29
Express 4620 + c + 42*c**2 + 0*c - 4618 + (0*c - 2*c - c)*(-3*c + 0*c + c) as o*c**2 + r*c + a and give r.
1
Rearrange -90270 - 624*i + 90270 to k + x*i and give x.
-624
Rearrange -2 - 49*r**2 - 2*r**4 + r + 0 + 47*r**2 to u*r**3 + z*r + j + p*r**2 + c*r**4 and give p.
-2
Express 43*f**3 - 124*f**2 + 122*f**2 - 18*f + 14*f as i + s*f**2 + g*f + o*f**3 and give s.
-2
Rearrange 113*u - 2 - 113*u - 2*u**3 + 18*u**4 + 5*u**2 - 6*u**2 to the form z*u**4 + r*u**2 + x*u + v + f*u**3 and give v.
-2
Express -49*b**4 + b + 4 - b**2 + 1 + 50*b**4 - 1 in the form z*b**4 + y + k*b**3 + r*b**2 + x*b and give y.
4
Express (2*t - 3*t + 0*t)*(-92 - 34 - 55)*(-3 + 2 + 3)*(2 - 3 + 6)*(1 + 1 - 1)*(2 - 1 + 1) as v*t + x and give v.
3620
Express 750 - 4*d**2 + 632 + 2*d**2 + 350 in the form y*d**2 + u + k*d and give u.
1732
Rearrange (-2 - 2*s + 2)*(2657 - 1964 - s - 1215) to v*s**2 + j + g*s and give v.
2
Rearrange 49 - 12*q - 22 + 2*q**4 + 24*q + 2*q**3 - 10*q to f + x*q**3 + b*q + r*q**2 + a*q**4 and give x.
2
Express 32 - 3*h + 0*h**2 - 6*h**2 - 2*h + 4*h + 7*h**2 in the form c + t*h**2 + b*h and give t.
1
Express -3364 - 216*s + 3364 as g + t*s and give t.
-216
Rearrange 394*c + 5 + 1 - 343*c to t*c + j and give t.
51
Express 270 - 75 - 90 - 78 + 23*a in the form f + z*a and give f.
27
Rearrange u**2 + 24*u**3 + u**2 + 7*u**3 to the form r*u**3 + g*u + v*u**2 + d and give v.
2
Express 154 + i**2 - 4*i + 4*i as v + c*i**2 + o*i and give v.
154
Express s**4 - s**2 - 100*s + 95*s + 2*s**4 + 2 as w*s**2 + g*s + t*s**4 + n*s**3 + o and give w.
-1
Express -l**4 - l**4 + 4*l**4 + (225*l**3 - 4*l**4 - 225*l**3)*(-3 + 2 + 0) in the form y*l**3 + m*l**4 + p*l + k*l**2 + d and give m.
6
Rearrange -588*b + 1174*b - 95 - 586*b - 4*b**2 to s*b**2 + c*b + t and give t.
-95
Rearrange -3*k - 4*k + 55*k + (-1 + 0 + 0)*(3*k + 4*k - 5*k) to the form s + q*k and give q.
46
Rearrange (31*r**2 - 22*r + 22*r)*(15 + 4*r**2 - 15) to the form u*r**2 + o*r**4 + j*r + c*r**3 + w and give o.
124
Rearrange (1 + 6 - 4)*(40*u**3 - u**4 - 40*u**3) + (-u + 2*u + u)*(-10*u + 10*u + 7*u**3) to the form s*u + z*u**4 + a*u**3 + p + h*u**2 and give h.
0
Express 3*j**3 + 1 + 6*j - 10*j**2 - 7*j**2 - 11*j**2 + 20*j**2 in the form w*j**2 + h*j**3 + d + b*j and give b.
6
Rearrange (-1 + 0 + 0)*(0*g**3 - g**4 + 0*g**3) - 121*g**3 + 120*g**3 + 59*g**4 + 22*g**4 to u + k*g**3 + l*g**2 + n*g**4 + j*g and give n.
82
Rearrange 2775*z + 14*z**2 - 2773*z - 2 + z**3 + 2*z**2 to w*z**3 + q + r*z + h*z**2 and give r.
2
Rearrange -1 - 34*k**3 - 7*k**3 + 11 - 6 to the form y*k + w*k**2 + r + t*k**3 and give t.
-41
Rearrange (0*v**2 - 4*v**2 + 2*v**2)*(3874*v**2 - 495*v**2 + 366*v**2) to m + u*v**2 + s*v**3 + n*v**4 + x*v and give n.
-7490
Express -2*g + g - 57 - 52 + 3*g as k + x*g and give k.
-109
Express -x**3 - 1 + 4*x**2 - 18*x**4 + 8*x**3 + 0 - 7*x**3 as z*x**3 + y*x**2 + i + r*x + j*x**4 and give j.
-18
Rearrange (-7*r**4 + r**4 + 4*r**4)*(-42 + 13 + 3) to the form v*r**3 + s + u*r**4 + l*r + h*r**2 and give u.
52
Express r**2 - 63 + 5*r**2 + 130 - 4*r**2 - 79 - 6*r as x*r**2 + j*r + y and give y.
-12
Express -289 + 12*k**2 + k**3 + 287 + 5*k**2 + 0*k**3 as s*k**2 + l*k**3 + y*k + v and give v.
-2
Rearrange -73*p**2 + p**4 + 8*p**3 - 9*p**3 + 74*p**2 - 11*p**3 to the form j + c*p + a*p**2 + r*p**3 + i*p**4 and give a.
1
Rearrange -9 + 40*y + 14 - 7 - 7 - 3 to s + g*y and give s.
-12
Rearrange -422 - 11*g**3 + 422 - 17*g**3 - 29*g**3 + 12*g**3 + (3 - 1 - 1)*(-g**3 - 2*g**3 + 2*g**3) to the form t*g**2 + f*g + w*g**3 + d and give w.
-46
Rearrange 46*r**3 + 8 - r**3 - 23*r**3 - 2*r**2 - 26*r**3 + 5 to the form y*r**2 + o*r**3 + u*r + s and give y.
-2
Express -3 - 3723*q**2 + 3 + 4009*q**2 in the form w*q + s + m*q**2 and give m.
286
Rearrange (1282 - 4*i + 5*i - 1182)*(3 + 3*i - 3) to the form n + b*i + p*i**2 and give p.
3
Rearrange 4 - 10*k + 3*k + 9*k + 1 to the form z + q*k and give z.
5
Express -60*y - 4 + 4*y + 58*y + 47*y as u + c*y and give c.
49
Rearrange 20*d**3 - 13*d**3 + 29*d**3 - d**2 + 2*d**2 + 0*d**2 to the form o*d**3 + u*d + c + h*d**2 and give h.
1
Rearrange -28*s**2 + 36*s + 2*s**2 + 8*s - 50*s to y*s**2 + b + l*s and give y.
-26
Express 32 - 17 - 17 - 27*q in the form s*q + h and give s.
-27
Express (1 + 3 + 1)*(0*v + 0*v + 2*v) + (-8 - 7 + 10)*(2 - 8 + 2)*(-v + 0*v + 2*v) in the form y + m*v and give m.
30
Express 6*g - 7*g + 92 - 51 in the form o*g + j and give j.
41
Express -82*j + 3*j - 24*j - 54*j as y*j + s and give y.
-157
Express (11*r - 13 + 13)*(-5*r + 2*r - 3*r)*(-4 + 5 - 3)*(16*r**2 - 16*r**2 + 9*r**2) as f*r**4 + y*r**3 + m*r + s + v*r**2 and give f.
1188
Express (2*y**3 + 3*y**3 - 3*y**3)*(-2*y + 4*y + 4*y) + (0*y**3 + y**3 + 0*y**3)*(-10*y + 1 + 19*y - 14*y) as d + q*y**4 + i*y**3 + m*y**2 + s*y and give i.
1
Express (-2*s - 156 - 2*s + 139)*(10*s + s - 4*s) in the form i*s**2 + u*s + f and give i.
-28
Rearrange (2*w**3 + 0*w**2 + 2 + 0*w**2)*(35*w - 18*w + 10*w) to the form h + o*w**4 + p*w + z*w**3 + g*w**2 and give o.
54
Express 7*m - 12*m**4 - m**3 + 22*m**4 + 21*m - 9*m**4 in the form o*m**2 + u*m**4 + a*m + w + s*m**3 and give u.
1
Express -21*y + 8*y + 199*y**3 + 9 - 197*y**3 in the form k*y + m + c*y**2 + b*y**3 and give k.
-13
Express 4 - 4367*v - 7*v**2 + 4367*v in the form n + u*v**2 + i*v and give u.
-7
Express 6 - 6 - o + (-173 + 27*o + 173)*(-1 - 5 + 1) in the form g + b*o and give b.
-136
Express (46241 - 46241 - 390*j**3)*(100 + j - 93 - 3*j) as w*j + s*j**4 + l*j**2 + o*j**3 + x and give s.
780
Express 2*x**4 + 2 - 636*x - 51*x**2 + 637*x - 3*x**3 + 51*x**2 in the form g*x**2 + o*x**4 + p*x + n*x**3 + u and give p.
1
Express -101*t + 243*t - 110*t - 41*t - 75*t in the form i + f*t and give f.
-84
Express (-f + 1 - 3*f + 6*f)*(749 - 425 - 376) in the form j*f + h and give h.
-52
Rearrange ((2*g - g - 8*g)*(-1 + 2 - 4) + 2*g + 4*g - 4*g)*((-3 + 5 - 1)*(3*g + g - 3*g) + 5 - 2 - 3*g - 4) to the form h*g + l + n*g**2 and give h.
-23
Express 0 - 74*r + 49*r + 1 + 56*r + 2*r**2 + 0 in the form w*r + u + q*r**2 and give w.
31
Express (247 + 251 - 566)*(3*f + 0*f + 2*f) as t*f + z and give t.
-340
Rearrange (5*o + 2*o**3 - 5*o)*(16 + 845*o - 44 + 28) to v*o**4 + i + c*o**3 + a*o**2 + h*o and give v.
1690
Rearrange 197 + 2*j**3 - 32*j**2 - 196 - 56*j**2 - j**3 to the form s + h*j**3 + n*j**2 + l*j and give n.
-88
Rearrange -s + 10763 - s**3 - s - 10766 to the form b*s**3 + k*s + v + j*s**2 and give k.
-2
Rearrange -11*b**2 - 38*b - 10*b**4 + 9*b**4 + 37*b - 3*b**3 to the form v*b**2 + y*b**3 + t + j*b**4 + g*b and give y.
-3
Express (404*g + 24*g**2 - 400*g - 29*g**2)*(-2*g + 7 - 7) as m*g + b*g**2 + y*g**3 + h and give y.
10
Rearrange -2*z**3 + 0*z**2 + 25*z + 0*z**3 - 33*z - 2*z**2 to the form a + h*z**3 + n*z**2 + s*z and give h.
-2
Rearrange -39*t**2 - 138*t**2 - 84*t**2 to k*t + s*t**2 + f and give s.
-261
Rearrange -4 + 691*x - 10 + 28 - 14 to the form d + f*x and give f.
691
Rearrange (3*c - 5*c + c)*(-2*c + 6*c - c)*(-2*c + 3*c - 9*c)*(-6 + 3 + 5) to the form j*c**2 + r*c**3 + u + p*c and give r.
48
Rearrange -9 - 61*y**2 + 62*y**2 - 13*y + y**3 + 10 to the form b*y
|
{
"pile_set_name": "DM Mathematics"
}
|
38097*r - 229495. Calculate g(6).
-913
Let i(f) = 533*f**2 + 508483*f + 820. Give i(-954).
-134
Let p(j) = 2*j**3 + 109*j**2 + 194*j + 7587. Determine p(-54).
27
Let x(h) = -839*h + 22171. Calculate x(27).
-482
Let n(v) = -605*v - 50226. Give n(-83).
-11
Let h(u) = -u**2 - 14132*u + 70653. Give h(5).
-32
Let y(k) = 3*k**2 + 27*k - 349. Calculate y(-17).
59
Let c(y) = y**3 - 150*y**2 + 2253*y + 141886. Determine c(122).
0
Let s(o) = 3*o**3 + 11*o**2 + 3*o - 52. What is s(-7)?
-563
Let j(a) = 3*a**3 - a**2 + 26*a + 55. What is j(-2)?
-25
Let d(w) = -3742*w + 696007. Determine d(186).
-5
Let i(q) = -2*q**3 - 23*q**2 - 74*q + 20. Determine i(-5).
65
Let g(i) = i**2 - 138*i + 2741. Give g(116).
189
Let w(g) = -41*g**2 - 271*g + 20. What is w(-12)?
-2632
Let p(i) = -33423*i + 334315. Calculate p(10).
85
Let a(b) = 533*b + 17200. Give a(-32).
144
Let m(w) = w**3 + 24*w**2 + 5015*w + 98758. What is m(-20)?
58
Let y(h) = 1601*h - 58529. Calculate y(35).
-2494
Let g(c) = c**2 - 20901*c + 229801. Calculate g(11).
11
Let m(p) = -p**3 + 82*p**2 + 306*p - 508. What is m(86)?
-3776
Let j(b) = 5*b**3 - 12*b**2 + 122*b - 655. What is j(5)?
280
Let h(v) = 2386*v - 19762. Give h(8).
-674
Let w(h) = -2*h**3 - 24*h**2 - 57*h - 284. Determine w(-11).
101
Let r(g) = g**3 - 742*g**2 - 9066*g + 17. Determine r(-12).
233
Let d(z) = 7*z**2 - 1092*z - 3333. Determine d(159).
6
Let d(g) = -2*g**3 - 28*g**2 + 3*g - 7. What is d(-13)?
-384
Let n(a) = -99402*a + 695745. Give n(7).
-69
Let c(y) = -y**2 + 321*y + 11744. Determine c(-33).
62
Let n(g) = -457*g + 7890. Calculate n(17).
121
Let l(a) = 5404*a - 48655. Calculate l(9).
-19
Let p(j) = j**3 - j**2 + 218*j + 481. Determine p(0).
481
Let r(q) = 43*q**2 + 629*q + 8608. What is r(-14)?
8230
Let z(y) = -74*y + 3041. Determine z(40).
81
Let c(p) = -64256*p + 3598335. Give c(56).
-1
Let u(q) = q**2 + 941*q + 12981. Calculate u(-14).
3
Let b(l) = 200708*l + 54. Calculate b(0).
54
Let x(l) = l**2 + 38*l - 452. Calculate x(10).
28
Let v(a) = -41*a**2 + 673*a - 1329. What is v(2)?
-147
Let p(v) = 17*v**2 + 103*v + 1166. Determine p(-12).
2378
Let q(t) = 4121*t + 70259. Give q(-17).
202
Let w(b) = 2*b**3 + 3*b**2 - 1438*b + 13258. What is w(18)?
10
Let q(j) = 39*j**2 - 257*j + 948. Determine q(4).
544
Let l(n) = -174*n - 102. What is l(1)?
-276
Let r(w) = -3*w**2 - 79*w + 1686. Calculate r(24).
-1938
Let z(v) = 21*v**3 - 443*v**2 - 9*v + 1181. Determine z(21).
110
Let t(d) = 20*d**2 - 1145*d + 5616. Give t(52).
156
Let p(s) = -95*s + 4619. Calculate p(47).
154
Let s(m) = -1422*m - 5640. Calculate s(-2).
-2796
Let t(r) = -r**3 + 34*r**2 - 135*r + 48. Calculate t(29).
338
Let m(p) = -p**3 - 502*p**2 - 1684*p - 93305. Determine m(-499).
8
Let u(i) = -4802*i - 542636. Determine u(-113).
-10
Let p(z) = -10*z**2 + 413*z + 853. Give p(44).
-335
Let b(f) = -f**2 + 107*f - 2778. Give b(67).
-98
Let y(g) = 4456*g - 396659. Give y(89).
-75
Let h(j) = -j**3 + 117*j**2 + 553*j + 82. Determine h(-5).
367
Let s(p) = 45429*p + 726917. Calculate s(-16).
53
Let c(g) = -g**3 + 19*g**2 - 5*g + 267. What is c(21)?
-720
Let v(t) = -t**3 + 51*t**2 + 91*t - 1538. Calculate v(52).
490
Let w(b) = -7856*b + 34781. Calculate w(4).
3357
Let z(a) = a**3 + 11*a**2 + 157*a + 1327. Determine z(-9).
76
Let q(p) = -10*p**3 + 26*p**2 + 31*p - 204. Calculate q(-3).
207
Let g(s) = 90*s**2 - 54*s - 19. What is g(-4)?
1637
Let d(n) = 60*n**2 + 277*n + 135. Calculate d(-5).
250
Let f(r) = 57*r**2 - 1388*r + 437. Calculate f(24).
-43
Let c(l) = 781*l - 15523. Determine c(20).
97
Let o(q) = -42663*q + 853264. What is o(20)?
4
Let l(q) = q**2 + 559*q - 72697. Give l(111).
1673
Let k(y) = 3039*y - 215782. Determine k(71).
-13
Let m(c) = -c**2 + 313*c - 6809. Give m(23).
-139
Let s(k) = -k**2 + 34*k + 51. What is s(-8)?
-285
Let q(a) = -a**2 - 545*a - 4270. What is q(-8)?
26
Let l(o) = -o**2 + 41609*o - 457596. Calculate l(11).
-18
Let i(c) = 182*c - 3098. Give i(18).
178
Let c(a) = a**3 + 19*a**2 + 246*a + 3661. Calculate c(-14).
1197
Let h(z) = 3*z**2 + 475*z + 18116. Determine h(-94).
-26
Let o(j) = -11*j**2 - 95196*j + 4113761. Calculate o(43).
-6
Let h(v) = v**2 + 3821*v - 209259. What is h(54)?
-9
Let p(r) = r**2 - 15926*r + 6452185. Determine p(416).
25
Let r(o) = -o**2 + 836*o - 169355. What is r(344)?
-107
Let q(j) = -6*j**2 + 336*j + 3745. Determine q(-11).
-677
Let d(k) = 969*k + 18452. Calculate d(-19).
41
Let p(y) = -4540*y + 199760. Calculate p(44).
0
Let p(d) = -7*d**2 + 489*d - 6493. Determine p(17).
-203
Let s(y) = 60669*y + 242606. Give s(-4).
-70
Let i(r) = 82*r**2 - 1539*r + 5642. Give i(5).
-3
Let z(o) = o**3 - 130*o**2 - 2437*o + 331012. Give z(129).
-2
Let m(n) = 50061*n + 750892. What is m(-15)?
-23
Let o(x) = -5446*x - 24366. What is o(-4)?
-2582
Let k(n) = -2*n**3 - 248*n**2 + 6*n + 623. Calculate k(-124).
-121
Let z(p) = -5*p**3 - 667*p**2 + 1091*p + 1459. What is z(-135)?
-26
Let f(a) = a**2 + 594*a + 79225. Calculate f(-202).
41
Let f(i) = 6*i**2 - 107*i + 187. Give f(16).
11
Let y(x) = 22*x**3 + 17181*x**2 - 17186*x - 1. Give y(1).
16
Let n(w) = 125349*w - 2632314. What is n(21)?
15
Let j(t) = 77*t**2 + 5528*t + 4345. What is j(-71)?
14
Let r(x) = -10*x**2 + 5165*x - 7750. Calculate r(515).
-25
Let x(n) = 3*n**2 + 3929*n + 249754. Determine x(-67).
-22
Let p(h) = -2*h**3 + 48*h**2 + 964*h + 34. Give p(-13).
8
Let p(o) = -o**2 - 2283*o + 43711. Give p(19).
-27
Let p(o) = 135*o**2 - 2657*o + 1667. Calculate p(19).
-81
Let o(v) = v**3 - v**2 - 1043*v - 11827. Determine o(-22).
-13
Let g(s) = 17*s**2 - 1374*s - 7595. Determine g(86).
-27
Let v(o) = 926*o - 5596. Determine v(7).
886
Let m(b) = -b**2 - 270*b - 18163. Determine m(-144).
-19
Let y(d) = 498*d**2 + 8992*d - 24. What is y(-18)?
-528
Let c(h) = -344280*h - 1721409. Give c(-5).
-9
Let p(n) = -23*n**2 + 3988*n + 1658. Determine p(174).
-778
Let w(s) = -122*s**3 + 3418*s**2 - 54*s + 11. Determine w(28).
67
Let z(h) = -11*h**3 + 88*h**2 + 406*h - 3260. What is z(8)?
-12
Let j(v) = -213*v**2 - 28632*v - 12062. Determine j(-134).
-2
Let c(x) = 9804*x + 323044. Determine c(-33).
-488
Let k(s) = s**3 - 268*s**2 + 3076*s - 1689. Give k(256).
-665
Let i(u) = 2*u**3 - 134*u**2 + 1648*u - 786. What is i(51)?
30
Let b(t) = -6266*t - 256937. Calculate b(-41).
-31
Let k(t) = -t**2 + 293*t - 9584. What is k(39)?
322
Let d(v) = -5*v**2 - 32*v - 53. Give d(4).
-261
Let h(s) = s**3 - 76*s**2 - 39*s - 143370. Determine h(93).
36
Let k(m) = -m**3 - 163*m**2 - 2362*m - 1469. Calculate k(-147).
1
Let c(m) = -785*m**2 + 17194*m + 1551. What is c(22)?
-121
Let g(n) = -2*n**3 + 741*n**2 - 1846*n + 3259. Determine g(368).
1051
Let l(b) = -2*b**3 - 62*b**2 + 1117*b + 25549. What is l(-16)?
-3
Let g(r) = 2*r**2 - 57*r - 844. Give g(-13).
235
Let r(v) = -4*v**3 + 58*v**2 + 23*v + 4. Give r(14).
718
Let x(b) = -56*b + 2074. What is x(38)?
-54
Let q(c) = -3424*c + 404027. Calculate q(118).
-5
Let v(u) = -u**3 + 99*u**2 + 13*u - 1371. Calculate v(99).
-84
Let z(n) = -55824*n - 111650. Calculate z(-2).
-2
Let t(d) = 6286*d + 201321. What is t(-32)?
169
Let v(m) = -m**3 - 51*m**2 - 285*m + 234. Determine v(-46).
2764
Let q(c) = -2590*c + 18145. Calculate q(7).
15
Let l(y) = -2320*y**2 - 2224*y + 91. Give l(-1).
-5
Let o(b) = -85*b**2 - 1720*b - 421. Determine o(-20).
-21
Let a(k) = -927*k - 157603. Give a(-171).
914
Let a(z) = -z**2 + 710*z - 31810. Calculate a(46).
-1266
Let r(q) = 58769*q + 764031. Give r(-13).
34
Let x(v) = 2*v**3 - 194*v**2 - 26*v + 361. Give x(97).
-2161
Let x(z) = -z**3 + 489*z**2 - 14169*z - 13292. Give x(458).
-10
Let i(o) = 6*o**2 + 1045*o + 7105. Calculate i(-7).
84
Let z(k) = -4309*k**2 + 228378*k - 78. What is z(53)?
-25
Let b(z) = -150*z - 1215. Give b(-7).
-165
Let n(r) = r**3 + 128*r**2 - 474*r - 76319. Calculate n(-127).
8
Let d(o) = 8*o**2 - 254*o - 687. What is d(34)?
-75
Let d(a) = 104*a**3 + 20*a**2 + 44*a - 9. What is d(-2)?
-849
Let y(z) = -4223*z + 11786. Calculate y(3).
-883
Let r(f) = f**2 + 146*f + 4234. Calculate r(-107).
61
Let w(t) = 4*t**2 - 1000*t - 12. Give w(250).
-12
Let a(m) = -227*m + 7756. Give a(48).
-3140
Let u(c) = 2*c**2 + 233*c - 130209. Calculate u(-320).
31
Let j(d) = -4146*d + 49926. Calculate j(12).
174
Let p(o) = 3*o**2 - 118*o + 1930. Calculate p(24).
826
|
{
"pile_set_name": "DM Mathematics"
}
|
there in fifty-nine quarters of a kilometer?
14750
How many decades are there in 7/4 of a millennium?
175
How many litres are there in 50573.52 millilitres?
50.57352
What is 8726.279 millilitres in litres?
8.726279
How many kilograms are there in 21/4 of a tonne?
5250
How many months are there in one quarter of a decade?
30
What is 29/2 of a millennium in centuries?
145
What is five quarters of a kilogram in grams?
1250
What is 7653.788 kilometers in micrometers?
7653788000000
How many minutes are there in 181477.02 seconds?
3024.617
How many kilometers are there in 0.1966333cm?
0.000001966333
Convert 9277.732 litres to millilitres.
9277732
What is twenty-six fifths of a litre in millilitres?
5200
What is three eighths of a litre in millilitres?
375
Convert 42.84578 years to millennia.
0.04284578
How many nanograms are there in 5.78401 milligrams?
5784010
Convert 8560.697 grams to kilograms.
8.560697
What is fourty-four fifths of a millimeter in micrometers?
8800
Convert 5.404966 millilitres to litres.
0.005404966
How many millilitres are there in 57/2 of a litre?
28500
How many millilitres are there in one quarter of a litre?
250
Convert 381443.8 centimeters to meters.
3814.438
What is 77026.75t in nanograms?
77026750000000000000
How many minutes are there in 2/15 of a day?
192
What is 1/5 of a millennium in months?
2400
How many centuries are there in 17/2 of a millennium?
85
How many millilitres are there in 13/8 of a litre?
1625
How many grams are there in 3/25 of a kilogram?
120
How many micrometers are there in 3/25 of a millimeter?
120
Convert 98.31844cm to meters.
0.9831844
What is thirty-seven fifths of a millennium in years?
7400
How many millennia are there in 369443.8 years?
369.4438
Convert 2257.211ns to seconds.
0.000002257211
How many grams are there in twenty-nine halves of a kilogram?
14500
What is 1/5 of a litre in millilitres?
200
What is 1/16 of a gram in micrograms?
62500
What is fourty-three quarters of a litre in millilitres?
10750
How many nanometers are there in 1/16 of a millimeter?
62500
How many months are there in seven sixths of a year?
14
How many millimeters are there in three eighths of a meter?
375
What is 224.8555ml in litres?
0.2248555
How many kilograms are there in one fifth of a tonne?
200
How many weeks are there in 6129.865 days?
875.695
What is seven quarters of a litre in millilitres?
1750
Convert 1.018998nm to micrometers.
0.001018998
What is one fifth of a kilogram in grams?
200
Convert 0.9336109 millimeters to meters.
0.0009336109
Convert 5.114453 millennia to months.
61373.436
How many millilitres are there in 157.89l?
157890
How many millennia are there in 9104.208 decades?
91.04208
What is 14394.69 months in years?
1199.5575
How many millilitres are there in sixty-seven fifths of a litre?
13400
How many nanoseconds are there in one twentieth of a microsecond?
50
How many millilitres are there in 67/4 of a litre?
16750
How many years are there in 42/5 of a decade?
84
What is 17/4 of a millennium in months?
51000
What is 47/4 of a millisecond in microseconds?
11750
What is one fifth of a meter in millimeters?
200
What is 2/9 of a day in minutes?
320
Convert 470.67372 minutes to days.
0.32685675
Convert 0.6460102 decades to years.
6.460102
What is thirty-three fifths of a decade in months?
792
How many weeks are there in 303141.636us?
0.00000050122625
How many millilitres are there in 17/4 of a litre?
4250
What is 555.465 millilitres in litres?
0.555465
What is 11/4 of a micrometer in nanometers?
2750
What is 49/4 of a litre in millilitres?
12250
What is 2258.028 micrometers in meters?
0.002258028
What is eight fifteenths of a century in months?
640
What is 1/10 of a century in decades?
1
How many years are there in 33/5 of a century?
660
What is 23/3 of a decade in months?
920
How many microseconds are there in 0.2676581 weeks?
161879618880
What is 2.529548t in nanograms?
2529548000000000
Convert 894.6214ml to litres.
0.8946214
What is 1/5 of a litre in millilitres?
200
Convert 90.7142 milligrams to micrograms.
90714.2
How many months are there in three tenths of a millennium?
3600
What is 8/25 of a millennium in decades?
32
Convert 10.86936l to millilitres.
10869.36
How many tonnes are there in 705.5953ng?
0.0000000000007055953
Convert 672174.6ms to minutes.
11.20291
How many weeks are there in 98953520.4ms?
0.163613625
How many months are there in 4405.19 millennia?
52862280
Convert 0.3371824 meters to nanometers.
337182400
Convert 1.971879 micrograms to kilograms.
0.000000001971879
What is one tenth of a litre in millilitres?
100
How many minutes are there in 191.4666us?
0.00000319111
How many centuries are there in 24250.8 millennia?
242508
How many microseconds are there in 92.24844 minutes?
5534906400
What is 21/5 of a microsecond in nanoseconds?
4200
What is fifty-one halves of a minute in seconds?
1530
How many nanometers are there in 70.24199 micrometers?
70241.99
What is five quarters of a millennium in months?
15000
How many millimeters are there in 401.174 kilometers?
401174000
What is 364.1291 milligrams in kilograms?
0.0003641291
What is thirteen quarters of a micrometer in nanometers?
3250
Convert 283.05435 hours to days.
11.79393125
How many micrometers are there in 6/25 of a millimeter?
240
How many months are there in seven thirds of a millennium?
28000
What is 250.53195 milliseconds in minutes?
0.0041755325
What is 79/2 of a century in years?
3950
What is 7/4 of a day in minutes?
2520
How many kilograms are there in 36.84044ng?
0.00000000003684044
What is thirteen quarters of a day in minutes?
4680
What is 287.34792 months in millennia?
0.02394566
What is 5094.14g in micrograms?
5094140000
Convert 0.328851 nanometers to centimeters.
0.0000000328851
How many years are there in 5522.268 decades?
55222.68
What is 5.285595ml in litres?
0.005285595
Convert 84.50114 nanograms to milligrams.
0.00008450114
What is twenty-seven quarters of a millennium in decades?
675
How many years are there in six fifths of a decade?
12
Convert 0.4550332 litres to millilitres.
455.0332
How many decades are there in 860.0172 years?
86.00172
How many decades are there in twenty-five halves of a century?
125
What is 3878.078t in grams?
3878078000
How many millilitres are there in 6/25 of a litre?
240
What is thirteen fifths of a millimeter in micrometers?
2600
What is thirty-four fifths of a litre in millilitres?
6800
What is twenty-seven halves of a litre in millilitres?
13500
How many decades are there in 41866.61 millennia?
4186661
What is 43.41418 minutes in seconds?
2604.8508
What is 0.7761537 nanometers in centimeters?
0.00000007761537
How many days are there in 3843976.5 minutes?
2669.428125
What is fifteen quarters of a millimeter in micrometers?
3750
What is 2.903164 centuries in millennia?
0.2903164
Convert 58.02972 seconds to minutes.
0.967162
What is thirteen fifths of a centimeter in micrometers?
26000
How many nanograms are there in seventeen quarters of a microgram?
4250
What is 326.6746ml in litres?
0.3266746
How many millimeters are there in 77/2 of a centimeter?
385
How many hours are there in 11/8 of a week?
231
What is 47182.18 centuries in millennia?
4718.218
How many micrograms are there in 11/8 of a milligram?
1375
What is 0.8741566us in seconds?
0.0000008741566
Convert 451662.1nm to micrometers.
451.6621
Convert 93004.9 litres to millilitres.
93004900
What is 170.553789ms in days?
0.0000019740021875
How many weeks are there in 1685314.89 seconds?
2.786565625
How many years are there in 6/5 of a millennium?
1200
What is 0.9685681 milligrams in kilograms?
0.0000009685681
What is 6/5 of a litre in millilitres?
1200
What is 70.230048 hours in weeks?
0.418036
Convert 7017.467l to millilitres.
7017467
What is 2465.3181us in minutes?
0.000041088635
How many millimeters are there in 1/5 of a centimeter?
2
How many years are there in seventy-one fifths of a century?
1420
What is 34/5 of a litre in millilitres?
6800
How many millilitres are there in twenty-seven halves of a litre?
13500
What is nine tenths of a tonne in kilograms?
900
How many nanograms are there in 0.6819585ug?
681.9585
What is 1.605711ng in tonnes?
0.000000000000001605711
What is 1/64 of a kilometer in millimeters?
1
|
{
"pile_set_name": "DM Mathematics"
}
|
*2. Let p be v(16). Suppose -p*b = 5*q - 322, 4*b + q - 413 = -b. What is the units digit of b?
3
Let t(d) = 5*d**3 - 7*d**2 - 2*d - 4. Let p(f) = -2*f**3 - 11*f**2 - 7*f - 5. Let x be p(-5). Let g be t(x). Let b = -278 + g. What is the tens digit of b?
5
Let p(r) = -6*r + 215. Let y be p(21). Let u = 1212 - y. What is the units digit of u?
3
Let r(c) = -c**3 - 21*c**2 + 18*c - 70. Let g be r(-22). What is the tens digit of 1013 - 3*(-12)/g?
1
Suppose -2*m + 1402 = -4*i, -2*m - 4*i + 1362 = -0*m. Suppose m + 200 = 9*k. What is the units digit of k?
9
Let c(d) = 33 - 12 + 14*d + d**2 + 47 - 14. What is the tens digit of c(-34)?
3
Let w = -54 - -104. Let d(a) = -a**3 + 10*a**2 - a + 6. Let z be d(0). Suppose z = o - w. What is the tens digit of o?
5
Suppose 38*l = 40*l - 16982. What is the hundreds digit of l?
4
Let n(o) = 60*o**2 + 6*o + 4. Let c = -145 - -142. What is the tens digit of n(c)?
2
Let r = -1057 + 22073. What is the tens digit of r?
1
Suppose -56430 = -4*v + i, -4*v + 28*i - 33*i = -56394. What is the hundreds digit of v?
1
Let t = 11 + -53. Let y = -10 - t. Suppose 4*a - 2*k - y = 2*k, 5*a - 3*k = 44. What is the tens digit of a?
1
Let p = 19 - 14. Suppose -19 = -z + p*u, 68 = 2*z - 3*u + 23. Suppose z*x - 189 = 21*x. What is the units digit of x?
3
What is the tens digit of (315/(-6) - -53)/(((-2)/10028)/(-1))?
0
Suppose -150 = -4*v + 14*v. Let p = v - -17. Suppose p*a = 5*y + 315, 744 = 5*a - 7*y + 9*y. What is the tens digit of a?
5
Suppose -6*j + 48 = -24. Suppose n = j*n - 88. What is the units digit of -63*n/(-12) + -5?
7
Let i(d) = 11576*d + 87. What is the hundreds digit of i(1)?
6
Suppose 4*b - 2*p - 18 - 6 = 0, 0 = 4*p - 8. Suppose -5*v + b*z + 7595 = 3*z, -6107 = -4*v - 3*z. What is the units digit of v?
3
Suppose 819 - 1114 + 4647 = 34*k. What is the tens digit of k?
2
Let r(k) = 3269*k**2 - 6*k + 38. What is the ten thousands digit of r(3)?
2
Suppose -4*h + k + 94069 = 0, -64540 + 17528 = -2*h - 4*k. What is the ten thousands digit of h?
2
Suppose 45*w - 49*w + 60656 = o, -20 = 5*o. What is the hundreds digit of w?
1
Let g be ((-63)/(-35))/(38/(-20) - -2). What is the tens digit of g/(-10)*(-2660)/42?
1
Suppose -5733 = 6*g - 18939. Let c = g - 1538. What is the tens digit of c?
6
Let z = -29 - -42. Let w = -10 + z. What is the hundreds digit of (w/(-9))/(1/(-582))?
1
Let a(w) = -13*w + 44. Let g be a(4). Let k(h) be the first derivative of h**4/4 + 10*h**3/3 + 13*h**2/2 - 4*h - 1. What is the units digit of k(g)?
0
Let b be 8/(-1*(-2)/3). Suppose 24*t - 1311 = 681. Suppose 0 = -b*o + 1463 - t. What is the hundreds digit of o?
1
Let g(r) = r**2 + 3. Let u be g(-3). Suppose 4*m = a - 294, -4*a + 7*m = u*m - 1197. What is the units digit of a?
8
Let x(u) = 1538*u**3 - 7*u + 6. Let s be ((-143)/(-22) - 3)*2/7. What is the units digit of x(s)?
7
Let h be (-1135)/(-25) + (-3)/(-5). Let p = h + -46. Suppose 0 = 4*x - 2*k - 246, 0*x - 2*x - 4*k + 138 = p. What is the tens digit of x?
6
What is the tens digit of ((-16360)/56)/(3/(-42))?
9
Suppose -9*p = -3*p + 30. What is the hundreds digit of (-4)/p + (15156/30 - 9)?
4
Suppose -13*a + 3165008 = 30*a + 6*a. What is the ten thousands digit of a?
6
Suppose 6*g - g - 206415 = -6*g. What is the thousands digit of g?
8
Suppose -5*u - 20 = -10*u, 0 = 5*b + 5*u + 425. Let t = 1157 - b. What is the tens digit of t?
4
Suppose -16*m - 14*m - 14430 = 0. Let u = -198 - m. What is the units digit of u?
3
Suppose -1255 = -6*p - 235. Let j be 1/3 + p/3. What is the tens digit of (2*j/(-4))/(90/(-240))?
7
Suppose 0 = 49*j - 90*j + 17220. What is the tens digit of j?
2
Let z = -591 + 557. What is the thousands digit of (-139244)/(-119) - (-4)/z?
1
Let h(j) = -63*j**3 + 2*j**2 + 2*j + 1. Let k be h(-1). Suppose 0 = -p + 388 - k. Let w = p - 230. What is the units digit of w?
4
Let j(d) = -167*d - 124. Let a be j(-11). Suppose 4*t - 375 = a. What is the tens digit of t?
2
Let a(p) = -p**2 + 13*p + 86. Let z be a(18). What is the hundreds digit of 122/((-10)/(-95) - (4 + z))?
1
What is the thousands digit of (-1 + 2 - 1223)/(-40 - (-2923)/74)?
2
Let l(k) = -18*k - 2. Let b be l(4). Suppose 25*g = 55*g + 6420. Let q = b - g. What is the hundreds digit of q?
1
Let l = 1 - -1. Suppose -328 = 3*p + z - 993, -5*p - z + 1109 = 0. Suppose w + 2*w - p = -4*a, -l*w + a + 159 = 0. What is the units digit of w?
8
Let g(f) = 1145*f**2 + 13*f - 2. What is the tens digit of g(-1)?
3
Suppose -5*v - 30 = -3*v - 3*m, 3*v + 47 = 5*m. What is the hundreds digit of (-10932)/v - (5 - 96/18)?
2
Let o(m) = -4*m + 1. Suppose 0 = 9*x - 14*x + 5. Let w be o(x). Let p(d) = -3*d - 7. What is the units digit of p(w)?
2
Suppose -68 = 3*d - 176. Let f be 12/(-42) - 2315/7. What is the units digit of -1 - f/4 - 27/d?
1
Suppose 11927 + 8233 = 12*w. What is the units digit of w?
0
Suppose 0 = -p + 9770 + 44787. What is the ten thousands digit of p?
5
Let x(a) = a + 1. Let w(o) = -64*o + 16. Let d(s) = w(s) - 8*x(s). Let f = -297 + 296. What is the units digit of d(f)?
0
Suppose 0 = 8*k + 42 - 4354. What is the tens digit of 130/52 - k/(-2)?
7
Suppose 3*g - 19 = 4*t, 8*t - 6*t - 18 = -4*g. What is the tens digit of 1184 - (3/g)/((-20)/200)?
9
Let u = -160 + 196. Suppose -u*z + 30*z = -2832. What is the units digit of z?
2
Suppose 24*b - 13833 = -249. Let o = 1609 - b. What is the tens digit of o?
4
Suppose -o = 2, 3*o + 0*o = -2*r + 428. What is the units digit of r?
7
Let q(l) be the second derivative of l**4/12 - l**3/3 - 12*l**2 - 67*l. What is the tens digit of q(10)?
5
Suppose -a - 2 = -t + 2, 0 = -5*t + 3*a + 22. Suppose -142 - 153 = -y - t*q, 2*q = 0. Suppose -39 = 4*b - y. What is the tens digit of b?
6
Let c = -39 + 66. Suppose 0 = 8*g - c - 13. Suppose 0 = -2*d - g*m + 77, -2*m = -2*d - 5*m + 75. What is the units digit of d?
6
Suppose 13*z = 18*z - 25. Let f be 69 - 4*z/(-10). Let h = -48 + f. What is the units digit of h?
3
Let u(b) = b**2 - 2*b - 1. Let v be u(3). Suppose 13 - 5 = v*d. Suppose 5*w = -0*r + d*r - 263, -3*r = 2*w - 226. What is the units digit of r?
2
Let p(w) = -2*w**3 - 6*w**2 + 5*w. Let q be ((-145)/15 + 3)*(-6)/4. Let j(o) = o**2 - 12*o + 15. Let a be j(q). What is the tens digit of p(a)?
7
Suppose 6*c - 142 = -3*s + 4*c, -192 = -4*s - 4*c. Suppose 16*n - s*n + 23370 = 0. What is the hundreds digit of n?
7
Suppose -13*j + 59 - 98 = 0. Let h(s) = -240*s + 28. What is the hundreds digit of h(j)?
7
Suppose 4*z + 189618 = 30*z. What is the hundreds digit of z?
2
Suppose 480 = 6*m - 0*m. Suppose -m - 3082 = -6*f. What is the hundreds digit of f?
5
Suppose -2*k = -5*s - 2, -4*s = -8*s - 2*k + 2. Let p = -1 - -1. Suppose s = -2*a - d + 6, p - 6 = 2*a - 5*d. What is the units digit of a?
2
Suppose 2*r - 11000 = -3*x + 4663, 20884 = 4*x + r. What is the hundreds digit of x?
2
Suppose -16 = -4*j, 21*t + 2*j = 23*t - 96. Let p(y) = 26*y + 418. What is the thousands digit of p(t)?
1
Let z(v) = 32*v - 15. Suppose 7*f - 109 = -67. What is the tens digit of z(f)?
7
Let q(a) = -3*a - 23. Let u be q(-8). Let i be (-5)/(-5)*(u - -776). Suppose 5*w = -2*w + i. What is the tens digit of w?
1
Suppose -48*t - 624 = 30*t. What is the hundreds digit of 20/84*759 + t/(-28)?
1
Let t(b) be the first derivative of b**3 + 41*b**2/2 - 4*b + 78. What is the tens digit of t(-22)?
4
Let p be 27/(-2)*(-31 - -29). Let r = p + -24. What is the tens digit of r*19*36/27?
7
Suppose -10478 + 1289 = -9*p. Suppose 2*r = 3*q - p, 6*q - 5*r = 5*q + 323. What is the tens digit of q?
4
What is the thousands digit of (35/14)/(40/254560)?
5
Let y(o) = -4*o**3 + o**2 - o - 1. Let b be y(-1). Let p(s) = -b + 2*s - 7*s + s + 0. What is the tens digit of p(-8)?
2
Let m(j) = -2*j**3 - 33*j**2 + j + 66. Suppose -5 = 16*i + 267. What is the hundreds digit of m(i)?
3
Let b(r) = -r - 4. Let i be b(-1). Let l be (2 + -4)*i - 2. Let j(w) = 24*w + 41. What is the hundreds digit of j(l)?
1
Let g(p) = -p**3 + 15*p**2 - 13*p - 12. Let k = 58 + -44. Let h be g(k). Suppose h*c - 31 = -5*w, -8*c = -4*c + 2*w - 38. What is the units digit of c?
8
Let v(t) = 395 + 2*t**2 - 385 + t - 3*t**2. Let w be v(3). Suppose -w*c + c = -2*b + 357, -5*b - 3*c = -924. What is the units digit of b?
3
Let g(i) = i**3 - 8*i**2 - 17*i - 29. Let v be g(10). Let f(s) = s**3 - 9*s*
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate k(-11).
-428
Let b(i) = 793713*i + 10318261. What is b(-13)?
-8
Let f(a) = 1010*a**2 - 22152*a - 9. What is f(22)?
1487
Let m(s) = 10044*s + 10707. What is m(-1)?
663
Let h(c) = -1324*c + 3988. Determine h(3).
16
Let d(r) = 29624*r - 177770. What is d(6)?
-26
Let s(k) = 346*k - 10990. Determine s(37).
1812
Let s(q) = -267*q**2 - 1075*q - 872. Calculate s(-3).
-50
Let g(q) = -10616*q - 127396. Calculate g(-12).
-4
Let m(t) = -80*t**2 + 15*t - 2. What is m(3)?
-677
Let a(c) = -c**3 - 28*c**2 + 77*c + 239. Give a(-32).
1871
Let g(w) = 83*w**2 + 14359*w - 14445. Give g(-174).
-3
Let f(a) = 23*a**3 - a**2 + 28*a - 31. Calculate f(1).
19
Let l(v) = -v**3 + 53*v**2 + 768*v - 11965. What is l(10)?
15
Let h(n) = -7*n**3 - 28*n**2 + 433*n + 1061. What is h(-9)?
-1
Let l(t) = -510*t - 12281. Give l(-25).
469
Let f(g) = -130*g**2 - 103881*g + 207761. What is f(2)?
-521
Let r(h) = 381*h + 6722. What is r(-19)?
-517
Let b(c) = -2*c**3 + 524*c**2 - 6012*c + 145. What is b(12)?
1
Let r(h) = -643*h - 28976. Determine r(-45).
-41
Let u(s) = -2*s**2 - 437*s + 343750. Determine u(-538).
-32
Let c(s) = -s**2 - 159*s - 9502. Determine c(-89).
-3272
Let j(r) = -37*r - 1480. Determine j(7).
-1739
Let b(h) = 725*h + 2046. Calculate b(-3).
-129
Let b(s) = 1636*s - 474471. Determine b(290).
-31
Let c(o) = 2*o**2 - 196*o - 5171. Calculate c(-22).
109
Let s(q) = 14*q - 2374. Calculate s(153).
-232
Let i(o) = -11*o**3 - 9*o**2 + 250*o + 246. Give i(-1).
-2
Let a(g) = -g**3 - 47*g**2 + 513*g + 13175. What is a(-52)?
19
Let m(j) = j**3 + 422*j**2 + 8031*j - 159. Give m(-20).
21
Let h(a) = -28*a**2 - 1625*a - 15476. Calculate h(-12).
-8
Let l(f) = 4*f**2 + 236*f + 2217. Determine l(-12).
-39
Let n(k) = -163*k + 33218. What is n(205)?
-197
Let z(y) = 24*y**2 + 182*y + 123. Calculate z(-6).
-105
Let q(a) = 2*a**3 - 7*a**2 - 65*a - 230. Give q(-4).
-210
Let g(c) = c**3 - 35*c**2 - 31*c + 54. Give g(36).
234
Let g(t) = t**3 + 172*t**2 - 690*t + 2772. Determine g(-176).
308
Let l(d) = d**2 + 22*d - 6964. Determine l(75).
311
Let u(p) = 7*p**3 - 68*p**2 + 18*p + 30. Calculate u(8).
-594
Let f(q) = -246*q**2 - 1260*q - 138. Give f(-5).
12
Let u(p) = p**3 - 141*p**2 + 3289*p + 4566. Give u(111).
15
Let z(q) = q**2 + 26*q - 702. What is z(14)?
-142
Let q(k) = -k**3 + 850*k**2 - 101097*k - 2838. Calculate q(707).
-10
Let f(m) = -123*m**2 - 48708*m - 5. Calculate f(-396).
-5
Let h(z) = -3*z**2 + 200*z - 3928. Determine h(53).
-1755
Let s(o) = 24*o**3 + 2401*o**2 + 125*o + 2503. Calculate s(-100).
3
Let z(m) = 208*m**2 - 2676*m - 400. What is z(13)?
-36
Let p(m) = 2*m**3 + 886*m**2 + 175*m + 77435. What is p(-443)?
-90
Let j(z) = -2964*z - 14258. Determine j(-4).
-2402
Let v(r) = r**2 + 218*r + 10784. Give v(-143).
59
Let a(y) = y**3 + 90*y**2 + 370*y - 274. Give a(-5).
1
Let h(m) = -m**3 + 39*m**2 - 259*m + 334. Determine h(31).
-7
Let o(l) = 6659*l - 945569. Give o(142).
9
Let a(g) = -2*g**3 + 15*g**2 + 2030*g - 16177. Give a(8).
-1
Let t(g) = 303107*g + 909323. Determine t(-3).
2
Let q(p) = 66*p**2 + 164*p - 333. What is q(2)?
259
Let c(v) = -12634*v - 240132. What is c(-19)?
-86
Let s(h) = -72*h**2 + 622*h - 4898. What is s(8)?
-4530
Let b(m) = -16*m**2 + 267*m - 211. What is b(20)?
-1271
Let o(x) = -x**3 - 9*x**2 + 525*x + 2637. What is o(-5)?
-88
Let a(o) = 3*o**3 + 328*o**2 - 1954*o + 555. Calculate a(-115).
440
Let o(t) = -12697*t + 9129143. Calculate o(719).
0
Let o(m) = 2735*m - 144700. Calculate o(53).
255
Let p(j) = -10*j**3 - 221*j**2 + 656*j + 13. Determine p(3).
-278
Let o(f) = -4772*f + 14323. What is o(3)?
7
Let k(d) = -27*d**2 - 3507*d - 714. Determine k(-130).
-1104
Let z(d) = -1445*d - 59271. What is z(-41)?
-26
Let r(a) = 2*a**2 - 76*a - 2202. Give r(62).
774
Let o(d) = -d**3 - 16*d**2 - 5665*d - 90649. Determine o(-16).
-9
Let h(m) = -m**3 - 108*m**2 - 1078*m - 998. Calculate h(-97).
69
Let j(m) = m**3 - 71*m**2 - 424*m - 7. What is j(-6)?
-235
Let g(y) = -8*y**2 - 358*y - 602. Determine g(-43).
0
Let w(x) = -358*x + 1930. What is w(5)?
140
Let p(y) = y**3 + 20*y**2 + 1044*y + 14496. Determine p(-15).
-39
Let k(v) = 24541*v - 564445. Give k(23).
-2
Let b(m) = m**3 - 8*m**2 - 245*m + 50. Give b(-12).
110
Let b(m) = 101559*m - 3452992. What is b(34)?
14
Let a(k) = -2950*k**2 - 67848*k - 16. Give a(-23).
-62
Let q(p) = -146*p**2 + 2033*p - 8116. Give q(4).
-2320
Let o(s) = s**3 - 41*s**2 + 152*s - 2378. Calculate o(39).
508
Let l(n) = n**3 + 21*n**2 - 421*n - 784. Give l(-33).
41
Let g(k) = 193*k - 31987. What is g(165)?
-142
Let k(v) = -26518*v + 3606455. Determine k(136).
7
Let f(o) = -3*o**3 + 632*o**2 + 170*o + 8721. Determine f(211).
70
Let g(s) = -2*s**2 + 75*s - 159. Give g(35).
16
Let q(o) = -5*o**3 - 56*o**2 - 26*o - 978. Calculate q(-12).
-90
Let g(y) = 24934*y + 947497. Calculate g(-38).
5
Let h(o) = 15004*o + 90268. Calculate h(-6).
244
Let b(a) = 14*a**3 + 591*a**2 + 102*a - 994. Calculate b(-42).
14
Let s(v) = -v**2 + 91*v + 9128. What is s(152)?
-144
Let a(x) = -3740128*x + 18700633. Give a(5).
-7
Let d(m) = -120*m**2 - 9359*m + 117. Determine d(-78).
39
Let m(k) = -13292*k - 305939. What is m(-23)?
-223
Let q(k) = k**2 + 66*k - 226. Give q(21).
1601
Let y(h) = -23*h**2 - 7386*h + 37504. Calculate y(5).
-1
Let k(l) = -65*l**3 - 971*l**2 + 128*l + 1020. What is k(-15)?
0
Let r(b) = -22213*b - 88839. What is r(-4)?
13
Let z(f) = -19*f**3 + 334*f**2 - 200*f - 83. Give z(17).
-304
Let c(o) = -o**3 - 380*o**2 - 14198*o - 785. Determine c(-338).
-109
Let l(w) = -2*w**3 - 255*w**2 - 5422*w + 108. Calculate l(-27).
-27
Let v(b) = 436*b**2 - 3011*b - 294. Determine v(7).
-7
Let t(d) = 2*d**3 - 38*d**2 + 208*d + 91. Calculate t(11).
443
Let f(a) = -5590*a**2 + 33542*a - 6. Determine f(6).
6
Let o(l) = 3740*l + 104756. Give o(-28).
36
Let f(p) = -4*p**2 - 448*p + 23676. What is f(46)?
-5396
Let b(f) = f**3 + 15*f**2 + 62*f + 528. Determine b(-16).
-720
Let g(a) = -10974*a - 4323753. What is g(-394)?
3
Let w(x) = x**3 + 13*x**2 - 297*x - 181. Calculate w(-26).
-1247
Let j(n) = n**2 + 369*n + 23877. Determine j(-80).
757
Let j(d) = 4*d**3 - 6*d**2 + 96*d - 345. Determine j(3).
-3
Let f(m) = -m**3 - 75*m**2 - 528*m - 3632. Determine f(-68).
-96
Let d(n) = -2380*n + 26173. Determine d(11).
-7
Let l(h) = 1525*h - 693. Give l(2).
2357
Let p(c) = c**2 - 916*c + 7269. What is p(8)?
5
Let j(p) = p**3 + 203*p**2 - 232*p - 5705. Calculate j(-204).
7
Let v(k) = 51*k**3 - 6533*k**2 + 650*k - 205. What is v(128)?
1075
Let k(l) = l**3 - 7*l**2 - 1788*l + 12605. Determine k(7).
89
Let a(o) = 18*o**3 - 2*o**2 + 810*o + 1639. Give a(-2).
-133
Let p(f) = 9*f**3 - 73*f**2 - 655*f + 5294. Determine p(8).
-10
Let k(v) = -2*v**2 + 6*v + 342. Calculate k(-14).
-134
Let x(p) = -322*p - 15767. What is x(-49)?
11
Let h(q) = -q**3 - 94*q**2 - 60*q - 14805. Give h(-95).
-80
Let j(w) = 84100*w + 56. Determine j(0).
56
Let d(m) = 174317*m - 2266123. What is d(13)?
-2
Let u(o) = o**3 - 9*o**2 - 45245*o + 181064. What is u(4)?
4
Let s(w) = -2*w**2 + 80*w + 18451. Give s(-78).
43
Let n(f) = -1058*f + 31896. What is n(31)?
-902
Let k(c) = c**3 + 217*c**2 - 9003*c + 26579. Give k(-253).
14
Let t(s) = 97*s**2 + 12978*s - 2766. Determine t(-134).
-86
Let k(f) = f**3 - 18*f**2 - 1323*f + 23811. Calculate k(18).
-3
Let s(f) = -9*f**2 - 409*f - 970. What is s(-46)?
-1200
Let h(b) = 3*b**3 + 2*b**2 - 145*b - 1252. Give h(-7).
-1168
Let c(v) = 233*v + 87377. Give c(-375).
2
Let g(m) = -5157*m - 30938. Give g(-6).
4
Let f(j) = -2*j**2 - 42*j + 4582. What is f(-66)?
-1358
Let b(g) = 49*g**3 + 407*g**2 + 126*g + 50. Give b(-8).
2
Let o(f) = 2*f**3 - f**2 - 35*f + 90. Determine o(3).
30
Let j(o) = -4*o**2 + 175*o - 1116. Give j(36).
0
Let n(d) = -d**3 - 36*d**2 + 2371*d - 61. Determine n(-70).
569
Let u(z) = -253*z**2 + 200*z - 164. Give u(1).
-217
Let b(j) = j**2 + 131*j + 1864. Give b(-115).
24
Let x(s) = 143*s**2 - 2268*s - 42266. Determine x(-11).
-15
Let j(a) = -4*a**3 + 219*a**2 + 295*a - 13181. Give j(55).
19
Let r(d) = 88241*d - 794071. What is r(9)?
98
Let k(c) = -2*c**3 + 354*c**2 - 7098*c + 298. Give k(23).
-24
Let w(x) = -3*x**2 - 1941*x + 106. Give w(0).
106
Let w(a) = 245*a - 2587. Give w(11).
108
Let u(v) = 3*v**3 + 27*v**2 + 3974*v + 15647. Give u(-4).
-9
Let v(s) = 2*s**3 + 211*s**
|
{
"pile_set_name": "DM Mathematics"
}
|
l place.
0.9
Let h = 14385.5081964 + -21560.30819. Let u = -7175 - h. Let l = 0.2 + u. Round l to 6 dps.
-0.000006
Let m = 3.5734 + -2702.1734. What is m rounded to the nearest one thousand?
-3000
Let v = 94761 + -94719.161. What is v rounded to the nearest ten?
40
Let c = -374 - -298. Let r = -1060.194 + 1136.1983. Let t = r + c. Round t to 4 decimal places.
0.0043
Suppose -4*d + 9339 = i, -5*d + 0*d - 2*i + 11676 = 0. Let c = 1508 - d. What is c rounded to the nearest one hundred?
-800
Let g = 0.009435 + -0.01033472. Round g to 5 decimal places.
-0.0009
Let i = 0.02639 - 156.06639. Let o = 158 + i. What is o rounded to 1 dp?
2
Let q = -20.5755 - 0.0845. What is q rounded to zero decimal places?
-21
Let x be (15417/6 - 7)*-10. Let u be x/((-378)/(-96) - 4). Round u to the nearest 100000.
400000
Suppose 1910 = 2*w + 4*b - 1366, -2*b = 2*w - 3276. Suppose 0 = 33*p - 26*p + w. Let v = -351 - p. Round v to the nearest ten.
-120
Let s = -0.063031 - -0.063107607. What is s rounded to 5 decimal places?
0.00008
Let v be 6/10*(-22 + 17) + 5. Suppose -3*b + 3*i + 33855 = 0, i = -v*b + 6*i + 22585. What is b rounded to the nearest one thousand?
11000
Let n = 0.206 + -9.506. Let w = 213269 - 213278.300256. Let t = w - n. What is t rounded to 5 decimal places?
-0.00026
Suppose 24 = -4*u + 4*o, 0*u - 5*u - 4*o = 39. Let j(q) = 5*q - 5. Let a be j(u). Let g be a/((-390002)/195000 + 2). Round g to the nearest one million.
4000000
Let f = -84 - -82.51. Let q = f - -0.39. What is q rounded to one decimal place?
-1.1
Let h = -699.1153 + 699.4. Round h to 1 decimal place.
0.3
Let x = 873 + -873.782. Let d = x + 0.782000123. Round d to 7 decimal places.
0.0000001
Suppose -3*i = -0*i + 5*f - 20, -12 = 4*i - 3*f. Let s be (-525*6)/(i + 3/48). What is s rounded to the nearest 10000?
-50000
Let s = 18.98 - 18.9803289. What is s rounded to four dps?
-0.0003
Let w = -37899.00019409 + 37899. Round w to 5 dps.
-0.00019
Let s = 263 + -176.28. What is s rounded to the nearest 10?
90
Let r = 18088.999967875 - 18089. Round r to five decimal places.
-0.00003
Let w = -0.13 - -0.46. Let l = 2.31 - w. Let u = -2 + l. Round u to 2 dps.
-0.02
Let a = 82804732.5 + -82805133.519849. Let r = -399.4198 - a. Let s = -1.6 + r. Round s to 4 decimal places.
0
Let w be (-3)/2 + 1690523/(-62). Let r = w - 4847. Let m = -3885 + r. Round m to the nearest one hundred thousand.
0
Let c = 1.626 + -14.6423. What is c rounded to 1 decimal place?
-13
Suppose 2*x - 4*w - 9 = -3*w, -3*w = 2*x + 11. Suppose -1950592 = -5*v - x*v. Let t = v + -68656. What is t rounded to the nearest 100000?
200000
Let i = -98719.69 + 98720.1699991. Let l = -2.78 + 2.3. Let g = l + i. What is g rounded to seven dps?
-0.0000009
Let t = 1588.6598 + 0.3402. Let n = 1377.8 - t. What is n rounded to the nearest 10?
-210
Suppose -10*o + 11*o = -5, 2*y = -4*o - 12. Suppose -y*k - 21280010 = -2*j, 0 = -k - 23*j + 20*j - 5319985. Round k to the nearest 1000000.
-5000000
Let i = 11062.6 + -808.6. Let u = -10254.50088 + i. Let t = 0.5 + u. What is t rounded to 4 dps?
-0.0009
Let t = 0.469816 - -0.046954. Round t to 2 decimal places.
0.52
Let a = -75.644 + -10.838. Let t = -0.082 - a. What is t rounded to the nearest 10?
90
Let f = 81.9585 + -82. Let z = f - 298.9585. Let y = z + 299.0000629. What is y rounded to 5 dps?
0.00006
Let a = -39951779151.00000091 + 39951778991. Let l = a + 160. What is l rounded to seven dps?
-0.0000009
Let l = 2.84328 + -4.652618. Let m = -1.81 - l. What is m rounded to 4 decimal places?
-0.0007
Let z = -13286.00007611 - -13286. Round z to five decimal places.
-0.00008
Suppose -108*t - 92*t = -15518768 - 30821232. Round t to the nearest 1000000.
0
Let z = 0.0093296 + -0.01438. Round z to four dps.
-0.0051
Let y = 0.2007 - 0.20071333. Round y to 6 decimal places.
-0.000013
Suppose 9*o = 13*o - a - 248358, o + 4*a - 62064 = 0. Round o to the nearest one thousand.
62000
Let r = 590 + -590.289. Let p = -103185.089 - -103142. Let x = r - p. What is x rounded to the nearest integer?
43
Let s = 181.0147 + -181. Let p = 58.3147 - s. Round p to the nearest integer.
58
Let a = 219.4 - -22.6. Let i = 86 - a. Let h = i + 155.9999869. What is h rounded to 6 decimal places?
-0.000013
Let o = 2.9 - 2.8438. Let d = o + -0.8042. What is d rounded to one decimal place?
-0.7
Let m(i) = -5211*i - 430. Let c be m(-62). Suppose -c + 10452 = 2*b. Round b to the nearest 1000.
-156000
Let a = 45201.99952053 + -45202. Round a to six decimal places.
-0.000479
Let u = -160698.0691 + 160706. Let v = u - 7.9. What is v rounded to three decimal places?
0.031
Let l = 854.65 - 881.6545. Let x = 2044 - 2017. Let c = l + x. What is c rounded to 3 dps?
-0.005
Suppose 5*z - 52*j + 48*j + 4946976 = 0, z + 2*j = -989412. What is z rounded to the nearest 100000?
-1000000
Let x = -98157 + 98156.9999850234. What is x rounded to 6 dps?
-0.000015
Suppose 8 + 4 = 4*n. Suppose n - 1 = -2*q. Let a be (119 - q)*12/18. What is a rounded to the nearest 10?
80
Let x = -120.917 + 8.777. Let u = -114 - x. What is u rounded to one decimal place?
-1.9
Let d = 76995256308 - 76995256264.003888761. Let r = -0.003900361 - d. Let w = r + 44. What is w rounded to 6 dps?
-0.000012
Suppose -225*c - 46939198 = -42645356 + 116069908. Round c to the nearest 10000.
-530000
Let s = 2.633 - -16.257. Let x = -5.6 + s. Round x to one dp.
13.3
Let w be (-6)/(-21) + (-54)/(-7) - -2. Suppose w*k = -14*k + 135120. What is k rounded to the nearest one thousand?
6000
Let u(a) = -19399*a**2 + 13*a - 230. Let x = -316 - -326. Let g be u(x). What is g rounded to the nearest one million?
-2000000
Let t = -0.05074 + 43.92574. Let j = 45.065 + -0.065. Let k = j - t. Round k to one decimal place.
1.1
Let y = 149 + -146. Suppose -y*p + 116000000 = -11*p. What is p rounded to the nearest one million?
-15000000
Suppose -9*v + 99 = -18*v. Let j be (-1967396)/(-18) + (v/(-9) - 1). Round j to the nearest ten thousand.
110000
Let y = -825 - -441. Let a = y - -375.9. What is a rounded to the nearest 10?
-10
Let a = 8351 + -5392. Round a to the nearest one hundred.
3000
Let k = 2346.005 + -2346. Let c = -103.2 + 103.20529. Let j = k - c. Round j to four dps.
-0.0003
Let s = 3.586 - 0.326. Let x = s - 2.712. What is x rounded to one decimal place?
0.5
Let u = -103709.11 - -103249. What is u rounded to 0 decimal places?
-460
Let f = 51.34692 + 0.13108. What is f rounded to 1 decimal place?
51.5
Let f = -457 + 459. Suppose -801048 = 4*m + 2*p + 918960, 0 = 4*m - f*p + 1719992. What is m rounded to the nearest 100000?
-400000
Let l be (-3 + 9)*1 + (2 - 3). Suppose 0 = h - 5*x - 185399, -3*h = -l*x - 643126 + 86909. Let z = -264409 + h. What is z rounded to the nearest ten thousand?
-80000
Suppose 0 = -11*s - 13*s + 10036032. Suppose k = 3*k + 1328336. Let a = k + s. Round a to the nearest one hundred thousand.
-200000
Let r = -99822 - -99822.40427. Round r to 2 dps.
0.4
Let g = 53270.000086308 - 53270. What is g rounded to 5 dps?
0.00009
Let d = 3762 - 3761.9999925968. Round d to 6 dps.
0.000007
Let w = -14959 - -14958.9999997829. What is w rounded to 7 dps?
-0.0000002
Suppose -5*p = -839 + 219. Suppose 8*r = 6*r + 5*x - 138, 2*x = -3*r - 226. Let m = r + p. Round m to the nearest ten.
50
Let y = -27607.988367 + 27608. Round y to 2 dps.
0.01
Let b = 129553074 - 129552859.0001184. Let x = -215 + b. Round x to six dps.
-0.000118
Suppose -2*f - 5 = -49. Let w be 970/(-110) - 4/f. Let l(v) = -v + 22. Let a be l(w). Round a to the nearest ten.
30
Let j = -1440 - -2899. Let y = -1459.0001169 + j. What is y rounded to five dps?
-0.00012
Let z be (27/9)/((-10)/((-74937300)/(-9))). Round z to the nearest 10000.
-2500000
Let i = 3.1133 - 0.9341. What is i rounded to 2 decimal places?
2.18
Let m = 12793.4 - 17.4. Let x = -12797.092 + m. Let f = 21 + x. Round f to two dps.
-0.09
Let x = -139.62 + 139.6195212. Round x to four decimal places.
-0.0005
Suppose 0 = -2*m - 364 - 3568. Let z = 1935 - m. What is z rounded to the nearest one thousand?
4000
Let y = -111.5 - -113.4828. Round y to two decimal places.
1.98
Suppose -5*i + 22170 = 5*b, i - 2 = -i. Suppose 5*t + 3*p - 50 = 0, 5*t - 37 = -p + 3. Suppose t*k = b - 66033. What is k rounded to the nearest one thousand?
-9000
Suppose -2*i + 2*a = -147650, -a
|
{
"pile_set_name": "DM Mathematics"
}
|
-5.
-814, -5, 11
Sort 5, 4, -23188 in descending order.
5, 4, -23188
Put 3, 0, 85, 4, 22, -4 in ascending order.
-4, 0, 3, 4, 22, 85
Sort -1/4, -1, 0.1, -1/2, -5, -0.38.
-5, -1, -1/2, -0.38, -1/4, 0.1
Sort -3, 4, -9, 17, -4, 1.
-9, -4, -3, 1, 4, 17
Sort -1, 8631, 37, 3 in ascending order.
-1, 3, 37, 8631
Sort -10, -0.046, 2, 1.26, 0.4 in descending order.
2, 1.26, 0.4, -0.046, -10
Put -0.5, -1, 2, -0.1601 in ascending order.
-1, -0.5, -0.1601, 2
Sort 88, -5, -4, -47 in descending order.
88, -4, -5, -47
Sort 1/8, 3, 423/515 in descending order.
3, 423/515, 1/8
Put 5, -3/7, -1/2, 595, 2/9 in decreasing order.
595, 5, 2/9, -3/7, -1/2
Put -3, 2, -1, -755, 3 in decreasing order.
3, 2, -1, -3, -755
Put -4, 48181, -31 in decreasing order.
48181, -4, -31
Sort 3, -5, 0, -1, -77, 4 in descending order.
4, 3, 0, -1, -5, -77
Sort 51, 3/5, -0.3, 13/2, 554 in decreasing order.
554, 51, 13/2, 3/5, -0.3
Put 470, -8/5, -1/3, -5, 6 in descending order.
470, 6, -1/3, -8/5, -5
Sort -150, -32, 4 in descending order.
4, -32, -150
Put 113, 1, -1, -60 in ascending order.
-60, -1, 1, 113
Sort -5, -1, -65 in decreasing order.
-1, -5, -65
Put 1, 6246, 4, -3, -24 in decreasing order.
6246, 4, 1, -3, -24
Sort 1, -4, 5, -3, 14 in decreasing order.
14, 5, 1, -3, -4
Put -2.89, 0.4, 0.19, -1.22 in descending order.
0.4, 0.19, -1.22, -2.89
Put -4, -11, -7, 1, -19 in descending order.
1, -4, -7, -11, -19
Sort -6, 4306, 4.
-6, 4, 4306
Put 12643, -2, 6, -3 in descending order.
12643, 6, -2, -3
Put 4, 5, 9, -7 in increasing order.
-7, 4, 5, 9
Put -2/3, -5089, -4 in increasing order.
-5089, -4, -2/3
Sort 4, -1, 227, 1, -4.
-4, -1, 1, 4, 227
Sort 2.653, 270, -5 in increasing order.
-5, 2.653, 270
Sort 4, -14, -3006, 2 in descending order.
4, 2, -14, -3006
Sort -27, 2, -32.
-32, -27, 2
Sort -4, 433, 407, 3 in descending order.
433, 407, 3, -4
Sort 1, -35, 2, -886 in descending order.
2, 1, -35, -886
Sort -4820, 2, -1 in decreasing order.
2, -1, -4820
Sort -1/4, 12, 4, -4, -0.01, 1/2 in increasing order.
-4, -1/4, -0.01, 1/2, 4, 12
Sort 5, -3, 4, -78, 6, -5 in decreasing order.
6, 5, 4, -3, -5, -78
Sort 0.4, -3242, -0.03 in descending order.
0.4, -0.03, -3242
Sort 2, 26, -4, -5, 1, -1.
-5, -4, -1, 1, 2, 26
Sort -15.568, 4, -1, 0.3.
-15.568, -1, 0.3, 4
Sort 1, 11, 5, 14.
1, 5, 11, 14
Sort 1, -5, 52, 438, 3 in descending order.
438, 52, 3, 1, -5
Sort 2, 753, 0, -4, -30 in ascending order.
-30, -4, 0, 2, 753
Put -1177, 2, 0, -29, -1, -2 in descending order.
2, 0, -1, -2, -29, -1177
Sort 4.5, 0.3, 0.152, -0.4, 1/6 in ascending order.
-0.4, 0.152, 1/6, 0.3, 4.5
Sort 2/17, -59/2, 296 in descending order.
296, 2/17, -59/2
Sort 0.2, 2, 3, -13.4, -3, 1 in descending order.
3, 2, 1, 0.2, -3, -13.4
Put 9, -1, -2, -4, -57, -7 in decreasing order.
9, -1, -2, -4, -7, -57
Sort -10, 78, -23, 4, 0.
-23, -10, 0, 4, 78
Sort 59/3, -5, 3/5, -4.1, 0 in ascending order.
-5, -4.1, 0, 3/5, 59/3
Put 62, -0.25, 0.5 in descending order.
62, 0.5, -0.25
Put 241, -2571, 3 in decreasing order.
241, 3, -2571
Put -135, 1/10, 3/2, 56 in decreasing order.
56, 3/2, 1/10, -135
Sort -3, -0.05, -0.1, -5, -195, 5/6 in ascending order.
-195, -5, -3, -0.1, -0.05, 5/6
Put 0.5, -1/5, 0.4, -324153 in descending order.
0.5, 0.4, -1/5, -324153
Put 89, 3, 246 in decreasing order.
246, 89, 3
Put 3, 16, 0, 20, -28 in ascending order.
-28, 0, 3, 16, 20
Sort -3, -0.4, -2, 0.3, -5/2398.
-3, -2, -0.4, -5/2398, 0.3
Sort 13, 17, -47, 1.
-47, 1, 13, 17
Sort 7, 67, -1, -10, -2, 0 in decreasing order.
67, 7, 0, -1, -2, -10
Put -2/7, 2, -5, 5, -1716 in decreasing order.
5, 2, -2/7, -5, -1716
Sort 0.03, 2, 0.47, -2/7, 0.2 in increasing order.
-2/7, 0.03, 0.2, 0.47, 2
Sort 3, 4, 119, -5 in decreasing order.
119, 4, 3, -5
Put 0, -1, -98, 11, 139 in decreasing order.
139, 11, 0, -1, -98
Sort 0, -3, 4, 23901 in descending order.
23901, 4, 0, -3
Put -3977, -8, -1 in descending order.
-1, -8, -3977
Sort -3, 5, -4, 3, -5, -13986.
-13986, -5, -4, -3, 3, 5
Put -12, 2, -16, 13, 4, 0 in descending order.
13, 4, 2, 0, -12, -16
Sort -9, 4, -13 in decreasing order.
4, -9, -13
Sort -0.325, 2, -2/3 in ascending order.
-2/3, -0.325, 2
Sort 5, -2.15, -1/10, 0 in increasing order.
-2.15, -1/10, 0, 5
Sort -1698, 2, 0, -2, 3 in ascending order.
-1698, -2, 0, 2, 3
Sort -0.06, -1/11, -11/4, 0.04, -6.
-6, -11/4, -1/11, -0.06, 0.04
Sort 1, -366, -2, 3, 1541 in descending order.
1541, 3, 1, -2, -366
Put -3, -1, 519, 2 in descending order.
519, 2, -1, -3
Sort -313, -2, -1, -5, -6.
-313, -6, -5, -2, -1
Put 0, -2/11, 0.1, -4/5, 0.262 in decreasing order.
0.262, 0.1, 0, -2/11, -4/5
Sort 0.1, 0.2, -2, -8, -0.3 in descending order.
0.2, 0.1, -0.3, -2, -8
Sort 3, -82, 2509.
-82, 3, 2509
Sort 4, -1, 17, 0, 1, 61378 in ascending order.
-1, 0, 1, 4, 17, 61378
Sort 2, -147, -8/9, -2 in decreasing order.
2, -8/9, -2, -147
Sort 0, -5504, 2, 4, -5, -1.
-5504, -5, -1, 0, 2, 4
Put 0, -13573, 9 in descending order.
9, 0, -13573
Put -2/9, 1758, -5 in ascending order.
-5, -2/9, 1758
Put 1, 3, 91, -415 in descending order.
91, 3, 1, -415
Sort -4, 0, 5, 7583 in descending order.
7583, 5, 0, -4
Put -0.121, -4/7, 0.07, -44 in decreasing order.
0.07, -0.121, -4/7, -44
Sort -3/2, -0.02, -5, 98, 4/3, 0.2.
-5, -3/2, -0.02, 0.2, 4/3, 98
Sort 1, 89, -271 in decreasing order.
89, 1, -271
Put 1/2, -0.5, 0, 329/6 in descending order.
329/6, 1/2, 0, -0.5
Sort 2, 1, 6, 4, -133 in ascending order.
-133, 1, 2, 4, 6
Sort 0.3, -123, 26 in decreasing order.
26, 0.3, -123
Put 3, 0, 55, 14, -4 in decreasing order.
55, 14, 3, 0, -4
Sort -43, -0.1, -3733, -4 in descending order.
-0.1, -4, -43, -3733
Put 2, 0.18, 2/3, 39, -2 in ascending order.
-2, 0.18, 2/3, 2, 39
Put -5, 5, 2, 25575 in increasing order.
-5, 2, 5, 25575
Sort 113, -1, -3, -4, -5.
-5, -4, -3, -1, 113
Put -1, -3, -301, -833 in ascending order.
-833, -301, -3, -1
Sort 3, -0.24, 1/3, 2/19.
-0.24, 2/19, 1/3, 3
Sort 1, -248/129, -0.2 in increasing order.
-248/129, -0.2, 1
Sort -2, -1, 2, 14, -61.
-61, -2, -1, 2, 14
Sort 98, 1, 943, -2, -5 in decreasing order.
943, 98, 1, -2, -5
Put -1181, -5, -6, -1 in decreasing order.
-1, -5, -6, -1181
Sort 4, -8, -31, -34 in decreasing order.
4, -8, -31, -34
Sort -4, 0, 84532 in descending order.
84532, 0, -4
Sort 3, 7, -4, -14 in descending order.
7, 3, -4, -14
Sort -0.1, 0.3, 14, 1, 117 in increasing order.
-0.1, 0.3, 1, 14, 117
Sort -1.8, 1/178, 37.4 in decreasing order.
37.4, 1/178, -1.8
Put -34.4, 162, 1/7, -5 in ascending order.
-34.4, -5, 1/7, 162
Sort 1, 18, 20, 3, -45 in increasing order.
-45, 1, 3, 18, 20
Put 1/3, -2, -6, 1/5, 375.9 in decreasing order.
375.9, 1/3, 1/5, -2, -6
Put -6749, -2/3, 4, 0.6, -0.1 in descending order.
4, 0.6, -0.1, -2/3, -6749
Put 2/59, -0.017, 0.6 in ascending order.
-0.017, 2/59, 0.6
Sort -4, 2, -23, 0.
-23, -4, 0, 2
Put -2, 4, -1, 10, 3, -149 in decreasing order.
10, 4, 3, -1, -2, -149
Put -24, 5, 0.4, 36, -1, 4/3 in descending order.
36, 5, 4/3, 0.4, -1, -24
Sort 1, -983/4, 0.01.
-983/4, 0.01, 1
Sort 2, -3, 3, 1, 236.
-3, 1, 2, 3, 236
Put 66, 24287, 2 in ascending order.
2, 66, 24287
Put 5, -70, -195 in increasing order.
-195, -70, 5
Sort -3, -21072, -22 in descending order.
-3, -22, -21072
Sort -2/15, -842, -3, 1.
-842, -3, -2/15, 1
Sort 1, -5, -2, -71, 2 in descending order.
2, 1, -2, -5, -71
Sort 2, 6839, -31, -1.
-31, -1, 2, 6839
Put 2, 5, -4, -5, -1, 1 in increasing order.
-5, -4, -1, 1, 2, 5
Put -0.056, -5, 47/4, 1/3, -1/7, 1 in ascending order.
-5, -1/7, -0.056, 1/3, 1, 47/4
Sort 0.11, -2, 0.4, -2.209 in descending order.
0.4, 0.11, -2, -2.209
Put 1, -1, -709, 5 in increasing order.
-709, -1, 1, 5
Sort -23, 16, -5, 0 in decreasing order.
16, 0, -5, -23
Put -33, 4, 0, 28 in increasing order.
-33, 0, 4, 28
Put -1/2, 4, -2/5483 in descending order.
4, -2/5483, -1/2
Sort -283, -4, 1.
-283, -4, 1
Sort 0.6, -9, 5, 63 in descending order.
63, 5, 0.6, -9
Put -1, -1125005, -4 in increasing order.
-1125005, -4, -1
Sort 1, -0.6098, 4 in decreasing order.
4, 1, -0.6098
Put 22, -36, 2, 40 in ascending order.
-36, 2, 22, 40
Put 1, 13025, 6, -2 in ascending order.
-2, 1, 6, 13025
Put 993, -44, 5, 4 in increasing order.
-44, 4, 5, 993
Put 21, 165, 90 in ascending order.
21, 90, 165
Put 45, -1, 0, -5, 2 in ascending order.
-5, -1, 0, 2, 45
Sort -5, -3, 1.9, -0.05, -0.2, 0.4.
-5, -3
|
{
"pile_set_name": "DM Mathematics"
}
|
33. Let r(v) = -3*v - 18. What is 4*f(k) - 7*r(k)?
k - 6
Let s(x) = 4*x**3 - 2*x**2 + 16*x. Let c(d) = -13*d**3 + 7*d**2 - 47*d. What is -2*c(j) - 7*s(j)?
-2*j**3 - 18*j
Let j(p) = 2*p + 4. Let z = -3827/12 - -319. Let i(c) be the third derivative of -3*c**2 + 0*c + z*c**4 + 1/2*c**3 + 0. What is -4*i(l) + 3*j(l)?
-2*l
Let c(z) = 8*z + 1. Let n(w) = -9*w - 10. Let p(a) = -18*a - 22. Let t(j) = -9*n(j) + 4*p(j). Calculate -7*c(h) + 6*t(h).
-2*h + 5
Let r(g) be the first derivative of 45*g**2 + 458. Let x(l) = 18*l. Give -5*r(v) + 24*x(v).
-18*v
Let d(y) = 345*y - 6. Let g(o) = -691*o + 14. Determine 5*d(h) + 2*g(h).
343*h - 2
Let x(g) = 29*g - 4. Let r(h) = 2*h - 1. What is 3*r(w) - x(w)?
-23*w + 1
Let a(t) = -9*t**3 + 5*t**2. Let n(b) = 22*b**3 - 12*b**2. Let r(j) = 8*j - 132. Let v be r(18). Calculate v*a(i) + 5*n(i).
2*i**3
Let b(w) = -58*w**3 - 13*w**2 + 39*w + 13. Let a(h) = -29*h**3 - 6*h**2 + 18*h + 6. What is 13*a(l) - 6*b(l)?
-29*l**3
Let f(b) = -88*b. Let i(l) = -8*l. Let w(m) = -3*f(m) + 32*i(m). Let s(v) = 4*v. Let d = -32 + 38. Calculate d*w(h) - 11*s(h).
4*h
Let r(c) = 10*c**3 + 6*c - 6. Let n(y) = 60*y**3 + 35*y - 35. Suppose 520 - 765 = -7*h. Give h*r(t) - 6*n(t).
-10*t**3
Let b(p) = -p**3 + 9*p**2 - 2*p + 3. Let z be b(8). Let r = 74 - z. Let l = -16 + r. Let w(h) = h - 2. Let v(i) = -3*i + 5. Determine l*w(x) + 3*v(x).
-2*x + 1
Let c(j) = 909*j - 9. Let o(f) = 1817*f - 15. Give -5*c(a) + 3*o(a).
906*a
Let f(w) = -5*w - w + 3*w. Suppose -144 = -2*l + 3*a + 23, -4*a + 364 = 4*l. Let o(h) = -l + h - 91 + 179. Give f(v) + 2*o(v).
-v
Let g(m) = -11*m**2 - 6*m - 6. Let u be ((0 - 3) + 0)*2. Let n(p) = -23*p**2 - 13*p - 13. Determine u*n(k) + 13*g(k).
-5*k**2
Let c(r) = -2*r**3 - 6*r**2 + 2*r - 4. Let z(j) be the first derivative of -j**4/4 - j**3/3 - j + 143. What is c(t) - 6*z(t)?
4*t**3 + 2*t + 2
Let m(y) = 17*y**3 + 9*y**2 + 9*y - 209. Let b(v) = -4*v**3 - 2*v**2 - 2*v + 52. Determine -9*b(h) - 2*m(h).
2*h**3 - 50
Let h(y) = -10*y**3 - y**2 + 7*y. Let j(s) be the second derivative of -3*s**5/20 + s**3/3 - 136*s. Calculate 2*h(b) - 7*j(b).
b**3 - 2*b**2
Let h(a) = -a**2 - 3*a - 3. Suppose q - 2*i - 4 = 0, -4*q - 6*i + 16 = -2*i. Let f(v) = 79 + 77 + 13*v - 143 + q*v**2. Give 6*f(l) + 26*h(l).
-2*l**2
Let b(j) = j**2 - 4*j + 4. Let x be 2/2*9/9. Suppose 1 = -d - x, l + 2*d = -8. Let h(s) = s - 3 + s**2 + 10 - 8*s. Give l*h(z) + 7*b(z).
3*z**2
Let v(n) = -167*n**2 + 2*n + 1. Let d(a) = -a**2 + a + 1. Give 2*d(f) - v(f).
165*f**2 + 1
Let n be 416/(-72) + (-2)/9. Let y(l) = 5*l - 6. Let o(v) be the third derivative of -v**4/24 + v**3/6 + 58*v**2. What is n*o(d) - y(d)?
d
Let n(c) = -3*c - 1. Let v(s) = s. Let k be (-5)/(-10)*1*4. Suppose -5 + k = z. Let w = z + 2. Give w*n(l) - 4*v(l).
-l + 1
Let f(c) = -16*c - 1. Let k(y) = -24*y - 2. Give 7*f(o) - 5*k(o).
8*o + 3
Let x be 6/(-14) - 201/21. Let f = x - -15. Let d(g) = 3*g**3 - 6*g**2 + g + 4. Let y = 16 - 20. Let l(w) = 4*w**3 - 7*w**2 + w + 5. Calculate f*d(h) + y*l(h).
-h**3 - 2*h**2 + h
Let p(d) = 4*d**2 - 6*d - 6. Suppose -6 = 6*s - 7*s. Let z(u) = -4*u**2 + 7*u + 7. Give s*z(g) + 7*p(g).
4*g**2
Let a(l) = 9*l**2. Let b(w) = w**2. Suppose -i = 5*f - 3*i - 7, 0 = 2*f + 5*i + 3. Calculate f*a(r) - 4*b(r).
5*r**2
Let n(y) = -2*y - 3. Let w be n(6). Let q(f) = -27*f - 15. Let a(x) = 7*x + 4. Let v be (-5 - 2) + (1 - -2). Give v*q(b) + w*a(b).
3*b
Let f(l) = 511*l - 5. Let u(x) = 1021*x - 11. Determine 9*f(p) - 4*u(p).
515*p - 1
Let o(r) = 6*r - 123. Let b(i) = -i - 6. Determine -4*b(n) - o(n).
-2*n + 147
Let z(h) = -h**2 - 1. Let w(g) = -g**3 + 13*g**2 + 6*g + 5. Determine w(u) + 5*z(u).
-u**3 + 8*u**2 + 6*u
Let c = 120 - 124. Let h(b) = b**2 + 3*b + 3. Let m(d) = -d**2 - 4*d - 3. What is c*h(z) - 3*m(z)?
-z**2 - 3
Let d be (11 - (-212)/(-20))*15. Let c(u) = -11*u + 5. Let m(j) = -32*j + 14. Determine d*m(n) - 17*c(n).
-5*n - 1
Let a(y) = y**3 + 1. Let v(n) = -5*n**3 + 11*n**2 - 3*n - 4. What is 4*a(h) + v(h)?
-h**3 + 11*h**2 - 3*h
Let q(r) = r + 1. Let f be q(-5). Let u(x) = -11*x - 621. Let d(i) = 23*i + 1346. Let y(m) = -6*d(m) - 13*u(m). Let s(n) = n - 1. Determine f*s(g) + y(g).
g + 1
Let a(v) = -13*v - 10 + 3 - 3 + 17. Let c = 7 - 3. Let x(z) = 8*z - 3. Let g(i) = 41*i - 15. Let q(b) = -2*g(b) + 11*x(b). Give c*a(m) + 9*q(m).
2*m + 1
Let z(w) = -10*w + 2. Let v be ((-30)/(-20))/(3/8). Suppose -v*g - 8 = 12. Let n(k) be the first derivative of 2*k**2 - k - 4. Determine g*z(j) - 12*n(j).
2*j + 2
Let k(q) = 4*q - 2. Let a(y) = y**2 + 33*y - 27. Let u be a(-34). Let s(d) = 2*d - 1. What is u*s(h) - 3*k(h)?
2*h - 1
Suppose 0 = -5*z + 3*z - 6. Let m(x) = x**2 + x + 1. Let j(o) = 8*o**2 - 3*o - 3. What is z*m(w) - j(w)?
-11*w**2
Let f(z) = -12*z**3 + 7*z - 2. Let n(l) = 10*l**3 - 2*l**2 - 6*l + 1. What is -4*f(a) - 5*n(a)?
-2*a**3 + 10*a**2 + 2*a + 3
Let w(v) = v - 14. Let z(s) = -2. Let q(a) = -2*a**3 - 2*a + 2. Let k be (-12)/(-8)*((-3)/9 - -1). Let g be q(k). Determine g*w(j) + 14*z(j).
-2*j
Let v(d) = -6*d + 13. Let i(n) = 3*n - 6. Suppose -5*b + 4*x = -37, b + 4*x - 6 = 11. Determine b*i(r) + 4*v(r).
3*r - 2
Let z(h) be the first derivative of -3*h**4/4 - 4*h**3/3 - 28. Let s(j) = 7*j**3 + 9*j**2 - j. Determine -4*s(o) - 9*z(o).
-o**3 + 4*o
Let q(y) be the third derivative of -y**4/24 + y**3/6 - 225*y**2. Let z(f) = f + 6. Calculate -q(j) + z(j).
2*j + 5
Let u = -25 + 2. Let j = u + 30. Let f(v) = -4*v - 4. Let p(w) = 8 + 3*w + 2*w - 3. Calculate j*f(z) + 6*p(z).
2*z + 2
Let x(c) = 9*c**2 - c + 23. Let w(h) = -h**2 + 2. Determine 22*w(a) - 2*x(a).
-40*a**2 + 2*a - 2
Let s(i) = -i**3 - 3*i**2 + 5*i - 2. Let t(n) = -4*n**3 - 12*n**2 + 21*n - 9. Let q be (12/42)/(1/(-7)). Calculate q*t(v) + 9*s(v).
-v**3 - 3*v**2 + 3*v
Let l(y) = -2*y**2 + 6*y - 1. Let p(m) = m**2 - 9. Let z(q) = 4*q**2 + 7*q - 56. Let c(h) = -6*p(h) + z(h). Calculate 3*c(j) - 4*l(j).
2*j**2 - 3*j - 2
Suppose -6 + 15 = 9*n. Let t(z) = 5*z. Suppose -8*w - 29 = -3*w + u, 4*w + 25 = u. Let r(g) = g. Calculate n*t(m) + w*r(m).
-m
Let k(l) = 3*l**3 + 2*l**2 + l + 71. Let x(i) = i**3 - 2*i**2 - i. What is k(y) + x(y)?
4*y**3 + 71
Let m(d) = 66*d + 41. Let w(f) = -33*f - 23. What is 3*m(t) + 5*w(t)?
33*t + 8
Let g = 145 + -143. Let n(z) = -z + 0*z - 3*z + z. Let c(k) = -13*k - 1. Determine g*c(o) - 9*n(o).
o - 2
Let s(q) = 5*q**2 - 3*q + 8. Let y(i) = 2*i**2 - i. Determine s(l) - 4*y(l).
-3*l**2 + l + 8
Let i(k) = 2*k + 0 - 2 + 5. Let a(y) = 1. What is -2*a(p) + i(p)?
2*p + 1
Let j(x) = -7*x**3 + 4*x - 4. Let n be 99/21 + (-95)/133. Let v(c) = -6*c**3 + 5*c - 5. Calculate n*v(a) - 5*j(a).
11*a**3
Let f(j) = -j**3 + j**2 + 4*j + 4. Let k(d) = 3*d**3 - d**2 - 10*d - 9. Let g(m) = -5*f(m) - 2*k(m). Let t(i) = -i**3 - 4*i**2 - 2. Calculate 6*g(o) - 5*t(o).
-o**3 + 2*o**2 - 2
Let f(m) = -7*m**3 - m**2 + 4*m + 1. Let g(l) = 4*l**3 + l**2 - 2*l - 1. What is -3*f(y) - 5*g(y)?
y**3 - 2*y**2 - 2*y + 2
Let m be (-30)/(-12)*-2 + 6/1. Let i(v) be the third derivative of v**4/24 + v**3/6 - v**2. Let k(h) = h**2 - 2*h - 3. Calculate m*k(x) + 2*i(x).
x**2 - 1
Let j(s) = -s**3 - 3*s**2 - 3. Suppose -17*z - 423 = 124*z. Let o(c) = -c**3 - 2*c**2 - 2. Suppose -16 = -0*b - 4*b. Suppose n + n = b. What is n*j(l) + z*o(l)?
l**3
Let r(u) = -6*u**2 - 5*u + 5. Let o(x) = 4*x - 1. Let q be o(4). Let w be q/(-30)*(0 + -8). Let b(l) = -1 - l**2 - 3*l**2 - 3*l + w. Calculate 8*b(f) - 5*r(f).
-2*f**2 + f - 1
Suppose -5*c = -9 - 11. Let d(v) = 4*v**2 + 4*v - 4. Let f(m) = -m**3 + m**2 + m - 1. Suppose -5 = 56*t - 51*t. Determine c*f(x) + t*d(x).
-4*x**3
Let c(f) = -f**2 + 5*f + 3. Suppose 3476*o - 3470*o + 18 = 0. Let d(a) = 3*a**2 - 14*a - 8. What is o*d(g) - 8*c(g)?
-g**2 + 2*g
Let k be 10*-1*((-9)/6 - -1). Let d(r) = r**2. Let p(f) = -f**3 - 2*f**2 - 2*f. Give k*d(x) + p(x).
-x**3 + 3*x**2 - 2*x
Let z(n) = 1. Let s(v) = 7*v - 10. Let w(j) = -s(j) + 3*z(j). Let g(u) = -u + 2. Let d be ((-39)/4)/((-13)/(-52)). Determine d*g(o) + 6*w(o).
-3*o
Let c(x) = 32*x**2 - 6*x + 8 - 1 - 2*x**3 - 33*x**2. Let m(v) = 4*v**3 + 2*v**2 + 13*v - 15. Calculate -13*c(d) - 6*m(d).
2*d**3 + d**2 - 1
Let o(b) = 4*b + 3*b - 9*b - 1. Let u(w) = 100*w - 46*w + 1 - 52*w. What is -6*o(y) - 5*u(y)?
2*y + 1
Let b(v) = -4*v**3 - 201*v + 4. Let k(u) = -5*u**3 - 202*u + 6. Give
|
{
"pile_set_name": "DM Mathematics"
}
|
413, -621, -831, -1043?
-1257
What is next in 1, -13, -43, -95, -175?
-289
What is next in 24, -192, -876, -2262, -4584?
-8076
What is the next term in -10, -3, 20, 59, 114, 185?
272
What comes next: -15, -3, 31, 99, 213?
385
What comes next: -324, -660, -1020, -1416, -1860, -2364, -2940, -3600?
-4356
What is next in -166, -330, -492, -652, -810, -966, -1120?
-1272
What comes next: 28, 112, 254, 454, 712, 1028, 1402?
1834
What is the next term in -36, -87, -138, -189, -240, -291?
-342
What is the next term in -839, -1697, -2555, -3413?
-4271
What is next in -148, -261, -336, -367, -348, -273, -136?
69
What is the next term in 392, 390, 388?
386
What is the next term in -119, -237, -351, -461, -567?
-669
What comes next: 1041, 4166, 9375, 16668, 26045?
37506
What comes next: -19, -9, 23, 83, 177, 311?
491
What is next in 17, 71, 153, 257, 377?
507
What is the next term in 8, 6, -6, -34, -84?
-162
What comes next: -2, 7, 16, 25, 34?
43
What is the next term in 2, 27, 62, 101, 138?
167
What is next in 36, 46, 70, 114, 184, 286?
426
What comes next: 43, 175, 393, 697, 1087?
1563
What is next in -50, 4, 80, 184, 322, 500?
724
What is the next term in -5, -36, -141, -362, -741, -1320, -2141?
-3246
What is the next term in -105, -105, -95, -69, -21, 55, 165, 315?
511
What comes next: 180, 175, 170?
165
What is the next term in 2, 66, 178, 344, 570, 862?
1226
What comes next: 89, 180, 271, 362, 453?
544
What comes next: 62, 124, 162, 164, 118, 12, -166, -428?
-786
What comes next: 24, 40, 66, 102, 148?
204
What comes next: -21421, -21424, -21429, -21436, -21445?
-21456
What is the next term in 229, 236, 247, 262?
281
What comes next: 820, 3296, 7422, 13198?
20624
What comes next: 182, 208, 252, 314, 394, 492, 608?
742
What comes next: 532, 522, 512, 502, 492, 482?
472
What is next in 119, 126, 139, 158?
183
What comes next: -15, -75, -173, -309, -483, -695, -945?
-1233
What is next in -427, -852, -1277, -1702, -2127?
-2552
What comes next: -3237, -6476, -9715, -12954, -16193?
-19432
What is the next term in -21, -28, -39, -54, -73, -96, -123?
-154
What is next in 218, 434, 660, 902, 1166, 1458, 1784?
2150
What is next in 285, 576, 867, 1158, 1449?
1740
What is the next term in 155, 301, 445, 587, 727, 865, 1001?
1135
What is next in 220, 456, 692, 928?
1164
What is next in -155, -140, -109, -56, 25?
140
What is next in 422, 421, 420, 419, 418, 417?
416
What is the next term in 18, 61, 134, 237, 370, 533, 726?
949
What is the next term in -41, -21, 13, 67, 147, 259, 409?
603
What comes next: 13, 2, -45, -146, -319?
-582
What is the next term in 209, 835, 1879, 3341, 5221, 7519?
10235
What comes next: -52, -48, -34, -4, 48, 128?
242
What comes next: 0, 52, 136, 252, 400, 580, 792?
1036
What is next in 1860, 3728, 5596, 7464, 9332, 11200?
13068
What is next in -180, -332, -446, -504, -488, -380?
-162
What comes next: 83, 161, 239, 317, 395?
473
What comes next: -242, -484, -750, -1052, -1402, -1812, -2294?
-2860
What comes next: -23, -133, -339, -659, -1111, -1713, -2483?
-3439
What is next in 0, 10, 30, 60?
100
What is next in 81, 145, 185, 189, 145, 41, -135?
-395
What is the next term in 29, 39, 73, 143, 261?
439
What comes next: -159, -347, -535, -723, -911?
-1099
What is the next term in 3412, 6827, 10242?
13657
What is the next term in 85, 126, 165, 202, 237, 270, 301?
330
What is the next term in -7, 12, 43, 86, 141, 208, 287?
378
What is next in -4, -38, -104, -202?
-332
What is the next term in -75835, -75837, -75839, -75841, -75843?
-75845
What is the next term in 17, 15, 11, 5, -3?
-13
What comes next: 28, 43, 58?
73
What comes next: 62, 149, 236, 323, 410?
497
What comes next: -61, -66, -75, -88, -105, -126?
-151
What is next in -163, -326, -489?
-652
What is next in 14, 57, 172, 395, 762, 1309, 2072, 3087?
4390
What is next in 29, 68, 109, 152, 197?
244
What is the next term in 72, 64, 50, 30, 4, -28, -66?
-110
What comes next: -15, -25, -55, -117, -223, -385?
-615
What is next in 172, 163, 132, 67, -44?
-213
What is the next term in -127, -280, -423, -550, -655, -732, -775, -778?
-735
What is the next term in -279, -558, -835, -1110, -1383?
-1654
What is the next term in 141, 142, 143, 144, 145, 146?
147
What comes next: -805, -806, -807, -808, -809, -810?
-811
What comes next: -29, -33, -25, 7, 75, 191?
367
What comes next: 4068, 8139, 12210, 16281, 20352?
24423
What is next in -77, -176, -297, -440, -605?
-792
What comes next: -2, -29, -112, -281, -566, -997, -1604, -2417?
-3466
What is the next term in 324, 331, 342, 357, 376, 399, 426?
457
What is the next term in 6, 12, 14, 12, 6, -4?
-18
What is the next term in 166, 167, 168, 169?
170
What comes next: 472, 487, 502, 517, 532?
547
What is the next term in -264, -526, -790, -1056, -1324, -1594?
-1866
What is next in 122, 248, 374, 500, 626?
752
What is the next term in -17, -30, -53, -86?
-129
What is next in -147, -201, -341, -609, -1047, -1697?
-2601
What is the next term in -30, -69, -118, -165, -198, -205?
-174
What is the next term in -291, -255, -191, -93, 45, 229, 465?
759
What is next in -2293, -4584, -6871, -9154, -11433?
-13708
What is next in 538, 1075, 1614, 2155, 2698?
3243
What is the next term in 100, 86, 72, 58?
44
What comes next: -69, -119, -155, -171, -161, -119, -39, 85?
259
What is next in -4484, -4485, -4486, -4487, -4488, -4489?
-4490
What comes next: -319, -651, -995, -1345, -1695, -2039, -2371, -2685?
-2975
What is the next term in 1233, 1230, 1225, 1218, 1209, 1198?
1185
What is the next term in -22, -35, -48, -61, -74, -87?
-100
What is the next term in 150, 153, 158, 165?
174
What is the next term in -234, -463, -690, -915?
-1138
What is next in 890, 889, 888, 887?
886
What comes next: -1012, -2033, -3056, -4081, -5108, -6137, -7168?
-8201
What is the next term in 12, 27, 42?
57
What is the next term in 505, 999, 1487, 1969, 2445, 2915?
3379
What is next in 25, 30, 35, 40?
45
What is the next term in -72, -151, -234, -321, -412, -507, -606?
-709
What is next in 96, 104, 112, 120, 128?
136
What comes next: 1129, 2254, 3365, 4456, 5521, 6554, 7549?
8500
What is the next term in -12, -79, -214, -435, -760, -1207, -1794, -2539?
-3460
What is the next term in 53, 108, 163?
218
What is the next term in -20, -36, -60, -98, -156, -240?
-356
What is next in 999, 986, 959, 912, 839, 734, 591?
404
What is next in -2, 3, 14, 31?
54
What comes next: -35, -153, -357, -653, -1047, -1545?
-2153
What is next in -21, -84, -189, -336, -525, -756?
-1029
What is the next term in -51, -31, -1, 39, 89, 149, 219?
299
What is next in 823, 814, 807, 802, 799?
798
What is next in 14, 28, 40, 50, 58, 64, 68?
70
What is next in 728, 807, 898, 1007, 1140, 1303?
1502
What is next in -54, -55, -56, -57, -58?
-59
What is the next term in 96856, 96857, 96858, 96859, 96860, 96861?
96862
What is next in -58, -297, -696, -1255?
-1974
What is the next term in 3525, 3528, 3531?
3534
What comes next: 20, 28, 48, 86, 148, 240, 368, 538?
756
What is the next term in 72, 152, 232?
312
What is the next term in 30, 86, 170, 282, 422, 590, 786?
1010
What is next in 1435, 2868, 4301?
5734
What is next in 3079, 6160, 9241, 12322, 15403?
18484
What is the next term in -1910, -3819, -5728?
-7637
What comes next: -722, -1450, -2178, -2906?
-3634
What is the next term in -46, -129, -246, -391, -558?
-741
What is next in -941, -3721, -8343, -14801, -23089, -33201?
-45131
What is next in 54, 53, 52, 51?
50
What comes next: 26734, 26740, 26758, 26794, 26854, 26944, 27070, 27238?
27454
What is the next term in 23, 7, -33, -109, -233, -417?
-673
What comes next: -4, -21, -50, -91, -144?
-209
What is next in 254, 257, 262, 269, 278?
289
What is the next term in -153, -193, -271, -405, -613, -913?
-1323
What comes next: 60, 103, 202, 381, 664, 1075, 1638, 2377?
3316
What is next in 121, 137, 169, 223, 305, 421, 577, 779?
1033
What is next in -3, 2, 17, 48, 101?
182
What is the next term in 22, 101, 234, 421?
662
What comes next: 181, 180, 169, 142, 93, 16, -95?
-246
What is the next term in -714, -1433, -2152, -2871, -3590?
-4309
What comes next: -3, -7, -11, -15?
-19
What is the next term in 196, 192, 188, 184?
180
What comes next: -1708, -3421, -5136, -6853, -8572, -10293, -12016?
-13741
What is the next term
|
{
"pile_set_name": "DM Mathematics"
}
|
*z**3 + x and give n.
-9
Express -12 - 12*y**2 - 2*y + 12*y**2 + 2*y**3 + 0 as v*y**3 + g*y**2 + k + l*y and give l.
-2
Rearrange -7 + 2*z**2 + 7 - 32 + 0*z**2 to p + c*z**2 + a*z and give c.
2
Rearrange (3 - 3 + a)*((-a + a - a**3)*(2 - 3 + 2) + (-4*a - 2*a + 4*a)*(-4*a**2 + 2*a**2 + 5*a**2)) to the form g*a**3 + t*a**2 + h*a**4 + w + k*a and give h.
-7
Rearrange 9 + 9*w**2 - 17*w**2 + 11*w**2 to the form q + f*w + o*w**2 and give o.
3
Express 16*k**3 + 2 - 4*k**2 + k**2 + 0 - 11*k**3 as c + t*k + d*k**2 + a*k**3 and give c.
2
Express -3 + 14*k**2 + k**2 + 2 as z*k + l*k**2 + w and give w.
-1
Rearrange (0*s - 2*s + 0*s)*(2*s**2 + 0*s**2 - 3*s**2) + 11 - 20*s**3 - 11 to the form b*s + c*s**3 + x*s**2 + p and give c.
-18
Rearrange (0 + 0 - 2*c**2)*(0 + 2 - 1)*(-1 - 1 - 7) to k + s*c + a*c**2 and give a.
18
Rearrange 10*b + 628 - 21*b - 19*b - 3*b**2 - 627 to the form y*b**2 + u + n*b and give n.
-30
Express -4 + t + 3 - 3*t + 18*t as g*t + p and give g.
16
Rearrange -40 + f + f + 37 to m + l*f and give l.
2
Rearrange (-m - 2 + 2*m + 0*m)*(-6*m**3 + 5*m**3 + 7*m**3) to the form j*m**3 + h*m + a*m**4 + y*m**2 + w and give j.
-12
Express (-258 + 15*l + 258)*(l - 14*l + 8*l)*(-2*l**2 + 2*l**2 - l**2) in the form z + m*l**4 + p*l**3 + c*l**2 + y*l and give m.
75
Express -4 + 0 + 4 + g - 3*g**2 + 2*g**4 as t*g**4 + o*g + a + n*g**2 + z*g**3 and give n.
-3
Express 317*o - 156*o - 162*o - 1 in the form j*o + v and give j.
-1
Express 9*h**2 - 7*h**2 + 35 - 19 in the form s*h + n + k*h**2 and give n.
16
Express -4 + 8*c**4 - c**3 + 50 - 7*c**4 in the form r + o*c**2 + p*c**3 + u*c + k*c**4 and give r.
46
Rearrange ((-2*s + 0*s + 0*s)*(-5 - 1 + 4) - s + 1 - 1)*(2 - 4 + 4)*(5*s + 14*s + 5*s) to the form l*s**2 + n*s + w and give l.
144
Express 2*s**4 - s + s + (-s**3 + 4*s**3 - 4*s**3)*(7*s - s + 0*s) - 4*s**4 + 3*s**4 - s**4 in the form h*s**4 + g*s**3 + v + f*s**2 + u*s and give h.
-6
Express -3*t**3 - t + 2*t**3 - 1 - 6*t as o*t + i*t**3 + z*t**2 + m and give i.
-1
Rearrange (-87 - 8*f + 87)*(1 + 0 + 1) + (3 - 6 + 2)*(-2*f - 3*f + 6*f) to a*f + p and give a.
-17
Rearrange i - 2 + 2 - 3*i - 3*i + 4*i + (i + 0 + 0)*(4 - 3 - 2) + (5*i + 20 - 20)*(1 + 2 - 1) to r + j*i and give j.
8
Express 5*b**2 + 14*b**2 - b**2 as c*b + y*b**2 + t and give y.
18
Rearrange 4*g**3 - 3 + 0*g + 5 + 3*g + g to z*g**2 + c*g + k + l*g**3 and give l.
4
Express 2*f**2 + 3*f**3 - 2*f - 6*f**4 + 4*f**4 + 5*f**4 + 0*f**3 in the form h*f + q*f**4 + v*f**3 + a + p*f**2 and give q.
3
Express -180*v + 36*v - 24*v as f + g*v and give g.
-168
Rearrange -33*m**3 + 2 - 2 - 2*m**2 - 15*m**3 to the form i*m**3 + q + d*m**2 + c*m and give d.
-2
Rearrange 0*b - 2*b**3 - 3*b**4 + 0*b**4 + 3*b**3 + b + b**2 to the form y*b + a*b**2 + s*b**4 + c + j*b**3 and give s.
-3
Express (2 + 3 + 0)*(0*p - p - p)*(64 - 64 - 6*p) in the form s*p + f*p**2 + x and give f.
60
Express -4 - 320*w**3 + 3*w**2 + 25*w**4 + 320*w**3 + 3 in the form m*w**4 + r*w**3 + q + k*w + i*w**2 and give m.
25
Express -596 + 596 + 75*f**4 + (-1 - 2*f + 1)*(2*f**3 + 1 - 1) - 2*f**3 + 2*f**3 + f**4 as i*f**2 + v + y*f**3 + s*f + u*f**4 and give u.
72
Express -23*h + 3*h + 8*h - h**2 + 9*h as p*h + w*h**2 + i and give p.
-3
Express -w + 0*w**2 - w**2 + 0 - 1 + (5*w - w**2 - 5*w)*(0 - 2 + 0) + 5*w**2 + 0*w**2 - 4*w**2 - 16*w**2 - w**2 + 3*w**2 as r*w + n*w**2 + o and give r.
-1
Express (x + x + x)*(2*x + 0 + 0) + (0*x**2 - x**2 + 0*x**2)*(-3 + 1 + 3) + 2*x**2 - 3*x**2 + 6*x**2 in the form t*x + c*x**2 + v and give c.
10
Express (-2*u**2 + 3*u**2 - 3*u**2)*(1 - 1 - u) + (-7*u + 6*u + 3*u)*(3*u**2 - 2*u**2 - 3*u**2) in the form y*u**3 + w*u + t*u**2 + s and give y.
-2
Rearrange 2 + 4*i**4 - 5*i**3 + i - 3*i**4 + 2*i**3 + 0*i**3 to the form l*i**3 + q + y*i + a*i**2 + v*i**4 and give q.
2
Rearrange 0*k + 2*k - 160 + 162 - 50*k**2 to d*k**2 + i*k + l and give i.
2
Express (-4 + 2 + 5)*(0 - 1 - 1)*(0*p**4 + p**4 + 5*p**4) in the form z*p + v*p**3 + t*p**4 + i*p**2 + m and give t.
-36
Rearrange 14*y**3 + 22*y**3 + 0*y**3 + (-4*y + 3*y - y)*(2*y**2 - 2*y**2 + y**2) to i*y + q*y**3 + j + k*y**2 and give q.
34
Express -j**3 - 2*j**3 + 10*j**3 + 2 - 8*j**3 + 23*j**2 in the form y + m*j**3 + l*j**2 + a*j and give y.
2
Rearrange (6 - 6 + 6*t)*(5*t**2 + 2*t**2 + 9*t**2) to the form d*t**2 + u*t + v*t**3 + r and give v.
96
Rearrange 2*n**2 - 8*n + 2 + 2*n**3 - 11*n + 19*n to d*n**3 + s*n + h*n**2 + m and give s.
0
Express 4*s - s + 0*s - 5*s - 2*s**3 in the form z*s + l*s**3 + g*s**2 + d and give l.
-2
Rearrange (2 - 5 + 4 + (-5 + 5 - 1)*(1 - 1 - 2) + (-6 - 15 + 4)*(1 + 3 - 6))*(3 - 3 + 3*z)*(-1 + 1 + z) to the form u*z + x*z**2 + c and give x.
111
Express -p**2 - 2*p - 11 + 3 + 0*p + 7 as w + m*p + g*p**2 and give m.
-2
Rearrange 69*g - 82*g**2 + 74*g - 143*g to m*g**2 + n + t*g and give m.
-82
Rearrange s**2 - 734*s + 734*s to j + l*s + d*s**2 and give d.
1
Express (-3 + 1 + 1)*(-4*o**3 + 366851*o**2 - o - 366783*o**2 - 2 + 3*o**3) as g*o**3 + b + f*o**2 + p*o and give p.
1
Rearrange (-2*g - g + 4*g)*(2*g**2 + g**3 - 2*g**2) + 15*g**4 - 5*g + 1332 - 1332 to z*g**4 + a*g**3 + l*g**2 + f*g + t and give z.
16
Rearrange (-z**2 - 6 + 6)*(-4 + 5 + 1) + 0*z**2 - 4*z**2 + 2*z**2 - 4*z**2 + 3*z - 3*z to c*z**2 + j + r*z and give c.
-8
Express -2*z**3 - 2*z**2 + 3*z**2 + 4*z**3 in the form s*z**2 + c + x*z + w*z**3 and give w.
2
Rearrange 19*s**3 + 2 + 3*s**2 - 4 - 2*s**2 + 4 to c + p*s**3 + g*s**2 + i*s and give g.
1
Express (2*t**2 - 7 - 3 - t + 9)*(14*t + 4*t**2 - 14*t) in the form l*t + p*t**4 + v*t**3 + d*t**2 + y and give p.
8
Rearrange (-2 + 5 - 4)*(-19*b**2 + 19*b**2 - 22*b**2)*(-1 - 2 + 1)*(0*b - b + 0*b) to g*b**3 + s + p*b + y*b**2 and give g.
44
Rearrange -2*f**2 + 6 - 4 - 2 - 2*f**3 - 108*f to the form x*f + h*f**2 + o + i*f**3 and give x.
-108
Rearrange 19 - 34 + 2*r + 20 to m*r + v and give v.
5
Express -11*l**3 - 7*l**2 + 7*l**3 + 2*l**3 in the form h*l**3 + z*l**2 + b*l + a and give h.
-2
Express 0*x - 2*x + x + (-x + x + x)*(1 + 1 - 1) - 2*x - x + 4*x + x - 2*x + 2*x + 3*x + 3 - 3 in the form f + j*x and give j.
5
Express (0*d - 2*d + d)*(2*d - d + 0*d) + 7 - d**2 - 7 + 3*d**2 - 2*d + 2*d in the form q + p*d + x*d**2 and give q.
0
Rearrange -117*w**3 + 118*w**3 + 2 + 2*w - 1 - w**4 to the form x*w**4 + p*w**3 + i + m*w**2 + a*w and give p.
1
Express -10*u - u**2 - u**2 + u**3 + 0*u**2 as j*u + m*u**2 + l + q*u**3 and give j.
-10
Rearrange 7*s**4 + 9*s**3 - 10*s**3 + s**2 + s**2 - s**4 to a*s + o*s**3 + d + c*s**4 + f*s**2 and give o.
-1
Express 635*k**2 - 635*k**2 + k**3 + 8*k as d*k + v*k**2 + z + f*k**3 and give f.
1
Express -1 + 23*s**3 - 21*s**3 + 2*s**4 + 3*s**2 + 1 in the form o*s**4 + t*s**3 + n + p*s**2 + b*s and give t.
2
Express (-5*y**4 + 2*y**4 + 4*y**4)*(5 - 3 - 1) + 4*y**4 + 0*y**4 - 3*y**4 + 0*y**4 + 3*y**4 - 4*y**4 in the form a*y**3 + h*y**2 + i*y + x*y**4 + q and give x.
1
Rearrange -2*v + 8*v**2 - 26*v**2 - v + 0*v to a + s*v**2 + n*v and give n.
-3
Express -z**4 + 3*z**4 - 3*z**4 + (2*z**4 - 2*z + 2*z)*(-7 - 1 - 3) as u*z + l*z**4 + y + i*z**3 + q*z**2 and give l.
-23
Rearrange (2*h + 2*h - 2*h + (-h + 1 - 1)*(0 + 7 + 2))*(4 + 0 - 1) to the form i + y*h and give y.
-21
Rearrange 2*i - 29*i - 8*i to the form q*i + s and give q.
-35
Rearrange (1 + 4 - 1)*(x - 2*x - x)*(17 + 8 - 17) to the form c + z*x and give z.
-64
Rearrange t**4 - 2*t**2 + 3*t**2 + 48 - 49 to the form i*t + d*t**4 + s*t**3 + a*t**2 + y and give a.
1
Express 37*h - 4*h - 8*h as t + f*h and give f.
25
Rearrange ((1088 + 33*u - 1088)*(0*u**2 + 4*u**2 - 3*u**2) + 0*u**3 + 0*u**3 + 3*u - u**3)*(-1 + 1 - 2) to m*u + g + z*u**3 + o*u**2 and give z.
-64
Rearrange (2*o + 5 + 14 - 4*o)*(7*o - 7*o + 5*o**3) to the form p + q*o**3 + c*o**2 + w*o + h*o**4 and give h.
-10
Express -12*q - 20*q + 7*q as j*q + d and give j.
-25
Rearrange -8 - 3*t + 8 + (-1 + 3 - 1)*(0 + 0 - 11*t) to n + o*t and give o.
-14
Express -2*i - i**4 - i**3 + 91*i**2 + 96*i**2 - 2 - i**3 - 184*i**2 in the form f*i**4 + o*i + n*i**3 + l + x*i**2 and give x.
3
Express -9*b - 8*b**3 + 23 - 21 + 6*b**3 as a*b**2 + m*b + u*b**3 + w and give m.
-9
Express 14 + 5*o**4 - 3*o**4 + 0*o + 2*o - 11 - 2*o**2 in the form f*o + c*o**3 + r*o**4 + g*o**2 + b and give c.
0
Express 4*y**3 - 2*y**2 - 7*y**3
|
{
"pile_set_name": "DM Mathematics"
}
|
78564*l - 78564*l + 157132*l.
-107*l**2 + 4*l + 2
Collect the terms in 12*u - 10*u - 8 + 2 - 22*u + 16*u.
-4*u - 6
Collect the terms in h - 3*h + 2 - 8*h + 2*h + 9*h.
h + 2
Collect the terms in 1216*q**3 - 912*q**3 + 7346*q**3.
7650*q**3
Collect the terms in 10773*n + 10834*n + 27822*n.
49429*n
Collect the terms in 1443*h**2 - 5*h**3 - 32*h**2 - 473*h**2 - 470*h**2 - 468*h**2 + 8*h**3.
3*h**3
Collect the terms in 16*b**2 - 239*b + 709*b - 233*b - 259*b**2 - 234*b.
-243*b**2 + 3*b
Collect the terms in 3*w**3 - 26 + 7 - 7*w**3 + 65*w + 71.
-4*w**3 + 65*w + 52
Collect the terms in -1812*l + 8882*l - 2128*l - 2264*l - 1826*l.
852*l
Collect the terms in 295893*d + 703*d**3 - 295893*d + 491*d**3.
1194*d**3
Collect the terms in 315 + 14*w - 944 + 318 + 311.
14*w
Collect the terms in 1330*x**2 + 1426*x**2 - 5742*x**2 + 1464*x**2 + 1376*x**2.
-146*x**2
Collect the terms in 66*o**2 + 22*o**2 + 134*o**2 - 9 + 85*o**2.
307*o**2 - 9
Collect the terms in -469406*b**2 + 1 + 2 + 469396*b**2 - 3.
-10*b**2
Collect the terms in 15*i - 28*i + 8*i + 4*i + 4842.
-i + 4842
Collect the terms in -4231083083652 - 12*v**2 + 4231083083652.
-12*v**2
Collect the terms in -1715 - m - 2*m + 3*m - 1717 - 1601 + 5033 - 2*m.
-2*m
Collect the terms in -142084*i**2 + 284199*i**2 - 142240*i**2.
-125*i**2
Collect the terms in 7378*t + 2786*t + 0 + 209*t + 0.
10373*t
Collect the terms in -1 + 118*q + 31*q + 42*q + 26*q + 1 - 225*q.
-8*q
Collect the terms in 2140*l**3 - l**2 + 14763*l - 14763*l + l**2.
2140*l**3
Collect the terms in 8*c - 16*c - 441*c**3 + 452*c**3 + 14*c - 7*c.
11*c**3 - c
Collect the terms in -12*a + 3103230 - 6206467 + 3103218.
-12*a - 19
Collect the terms in -30*o**3 + o**2 - 14*o**3 - 18*o**3 - 61*o**3 + 122*o**3.
-o**3 + o**2
Collect the terms in 64*y**2 - 121*y**2 + 58*y**2 + 1962*y**3 + 1403*y**3.
3365*y**3 + y**2
Collect the terms in 48*h + 1681 + 106*h - 33*h - 1682.
121*h - 1
Collect the terms in 2*o**2 - 381094629*o + 381094629*o.
2*o**2
Collect the terms in -1976 - 142*g + 178*g - 43*g.
-7*g - 1976
Collect the terms in 499577*d**2 - 209447*d**2 + 1777111*d**2.
2067241*d**2
Collect the terms in 69*l**2 + 112*l - 204*l + 68*l**2 + 89*l - 122*l**2.
15*l**2 - 3*l
Collect the terms in -11453*n**2 + 6295*n**2 + 5200*n**2.
42*n**2
Collect the terms in -3 + 374*t**3 - 13*t**2 + 0*t - 317*t**3 + 0*t.
57*t**3 - 13*t**2 - 3
Collect the terms in -34*d - 15*d + d - 5*d + 0*d - 27*d.
-80*d
Collect the terms in -24*a + 10*a - 216 - 17*a - 381.
-31*a - 597
Collect the terms in 83628 - 8*a + 0*a - 83633.
-8*a - 5
Collect the terms in -157543*l**3 - 159625*l**3 + 308598*l**3.
-8570*l**3
Collect the terms in -760 - 759 + 1518 - 161*o**3.
-161*o**3 - 1
Collect the terms in -1026*m**2 - 6*m**3 - 4*m**3 + 2053*m**2 - 1027*m**2 + 14*m**3.
4*m**3
Collect the terms in -81*m + 6*m**2 + 5*m**2 + 84*m + 44.
11*m**2 + 3*m + 44
Collect the terms in -4634879*i - 229656*i + 4 + 1 - 6.
-4864535*i - 1
Collect the terms in 9*v - 3*v - v - 766197*v**3 - 6*v + 765455*v**3.
-742*v**3 - v
Collect the terms in -99810770*t**2 + 33270243*t**2 + 33270252*t**2 + 33270226*t**2.
-49*t**2
Collect the terms in -5*j**2 - 1263*j**3 - 3*j**2 + 2548*j**3 + 10*j**2 - 1275*j**3 - 2*j**2.
10*j**3
Collect the terms in -11368*k + 4759*k - 8264*k - 11549*k + 3277*k.
-23145*k
Collect the terms in 11*y - 89*y + 31*y + 11*y + 8*y + 2*y.
-26*y
Collect the terms in -123*q + 446*q - 68*q - 169*q.
86*q
Collect the terms in -7672352*k + 4 - 7606686*k - 5 + 2863482*k.
-12415556*k - 1
Collect the terms in 7 - 17 + 2 - 6 - 1139*g - 9.
-1139*g - 23
Collect the terms in -9012*p**3 - 4803*p + 2405*p + 2398*p + 9026*p**3.
14*p**3
Collect the terms in -75 - 2*m + 1342 + 4*m.
2*m + 1267
Collect the terms in 2*u**2 - 1837 - 1949*u - 192 + 1949*u.
2*u**2 - 2029
Collect the terms in -2*s**2 + 4*s**3 - 3*s**3 - 54452033424 + 54452033424 - 184*s**2.
s**3 - 186*s**2
Collect the terms in 1099*j + 1059*j - 2141*j.
17*j
Collect the terms in 1391*d + 1384*d - 6939*d + 1376*d + 1408*d + 1381*d.
d
Collect the terms in -5 + 4 - 844*h**3 + 1162*h**3 + h**2 + 799*h**3.
1117*h**3 + h**2 - 1
Collect the terms in 7*w - 64 + 22 - 9*w + 19 + 35.
-2*w + 12
Collect the terms in -9361*q - 1054 - 1038 + 2092.
-9361*q
Collect the terms in 76*z**2 - 2 + 28 + 54 - 111 + 31.
76*z**2
Collect the terms in -2*q**3 - q**3 + 2846*q**2 + 6*q**3 - 2.
3*q**3 + 2846*q**2 - 2
Collect the terms in -13*b + 142520 - 142523 - 15*b + 10*b.
-18*b - 3
Collect the terms in -4668703 + 4668703 + 3*g**3 + 18*g.
3*g**3 + 18*g
Collect the terms in 3071*x**2 + 780*x**2 + 1091*x**2 + 2603*x**2 - 1629*x**2.
5916*x**2
Collect the terms in 7492*f + 14*f**2 - 6*f**2 - 1189*f + 8*f**2.
16*f**2 + 6303*f
Collect the terms in -43 + 9531323180*g**3 - 4765661590*g**3 + 4*g**2 - 4765661588*g**3 - 4*g**2.
2*g**3 - 43
Collect the terms in 1314 + 13237*f - 2092*f - 1314.
11145*f
Collect the terms in -75*b - 16164 - 15281 + 79*b + 31445.
4*b
Collect the terms in -10226807*b**2 + 10226807*b**2 - 6*b**3 + 14*b - 44*b.
-6*b**3 - 30*b
Collect the terms in -1980 + 5699 - 1734 - 1985 + 4*w.
4*w
Collect the terms in 23*w**2 - 85*w**2 + 30*w**2 + 32*w**2 - 1709*w + 2*w**3.
2*w**3 - 1709*w
Collect the terms in 108842600133*c + 1 - 108842600180*c - 1.
-47*c
Collect the terms in 2393366*n**2 + 902429*n**2 - n + n.
3295795*n**2
Collect the terms in -50 - 112*h**2 + 254*h**2 - 143*h**2.
-h**2 - 50
Collect the terms in -266*v**2 - 681*v**2 + 240*v**2 - 963*v**2 - 489*v**2.
-2159*v**2
Collect the terms in 26*y + 5 + 2*y**3 + 84082*y**2 - 84082*y**2.
2*y**3 + 26*y + 5
Collect the terms in 603*w**3 + 321*w - 131*w - 190*w.
603*w**3
Collect the terms in -a**2 - 27821829 + 27821829.
-a**2
Collect the terms in 10624*o - 538*o**3 + 10618*o - 21242*o + 541*o**3.
3*o**3
Collect the terms in -15953*k - 16143*k + 2*k**2 + 32083*k.
2*k**2 - 13*k
Collect the terms in 7*a**3 - 6 - 8198571*a**2 - 8198571*a**2 + 16397142*a**2.
7*a**3 - 6
Collect the terms in 2*a**2 - a + 11818 + 3227 + 4485.
2*a**2 - a + 19530
Collect the terms in -1770*a**2 + 1664*a**2 + 16 + 4953*a - 16 - 4953*a.
-106*a**2
Collect the terms in 2*p**2 + 3726 - 1631 + 8549 + 11*p - 11*p.
2*p**2 + 10644
Collect the terms in 6 - 17 + 9 + 81220*n**3.
81220*n**3 - 2
Collect the terms in -54*r**2 - 25*r**2 - 40*r**2 - 6*r**2.
-125*r**2
Collect the terms in -n**2 + 11 + 2222*n + 2231*n - 11 + 2222*n - 6674*n.
-n**2 + n
Collect the terms in -1551*v**3 - 1603*v**3 - 4023 + 4023 + 3150*v**3.
-4*v**3
Collect the terms in 4 - 38*i + 128 - 129.
-38*i + 3
Collect the terms in 18*r**2 + 15*r**2 + 8*r**2 + 15*r**2 - 107144*r - 59*r**2.
-3*r**2 - 107144*r
Collect the terms in 33*g**2 - 29968*g - 47152*g - 28*g**2.
5*g**2 - 77120*g
Collect the terms in g - 526035*g**2 - g - 113233*g**2.
-639268*g**2
Collect the terms in 10303*p**2 - 41227*p**2 + 10318*p**2 + 10303*p**2 - 24*p**3 + 10303*p**2.
-24*p**3
Collect the terms in -222699143*m**2 + 111349567*m**2 + 111349568*m**2.
-8*m**2
Collect the terms in 5*v - 100452*v**3 + 100449*v**3 + 0*v.
-3*v**3 + 5*v
Collect the terms in -1215806 - s - 2*s + 1215806 + 0*s.
-3*s
Collect the terms in 25 - 7 + 19 + 256*k.
256*k + 37
Collect the terms in 80811*a - 41469*a - 39860*a.
-518*a
Collect the terms in -4 - 4 - 303712*r + 101241*r + 101234*r + 101241*r + 8.
4*r
Collect the terms in 6993 - 106*m + 190*m - 6993 - 689*m.
-605*m
Collect the terms in -171*b**3 - 90624*b**2 + 181244*b**2 - 90620*b**2.
-171*b**3
Collect the terms in 42842881 - 85685767 + 42842886 - 3*p + 26*p.
23*p
Collect the terms in 689*u**2 + 80 - 61 - 9 - 6 - 4.
689*u**2
Collect the terms in -23110380*s**3 + 7703457*s**3 + 7703462*s**3 + 7703459*s**3.
-2*s**3
Collect the terms in 1 - 4032*w**2 - 145*w**2 - 4*w**3 - 2438*w**2.
-4*w**3 - 6615*w**2 + 1
Collect the terms in -1328 - 47348440*p**2 + 47348441*p**2 + 129*p**3 + 1328.
129*p**3 + p**2
Collect the terms in -448 + 66*u**3 + 1345 - 452 - 445.
66*u**3
Collect the terms in -3 + 0 - 4209786*m + 551243*m.
-3658543*m - 3
Collect the terms in 21 + v**2 + 75 + 13 + 12 + 43 - 17.
v**2 + 147
Collect the terms in -298 - 112 + 568 - 147 + 4*s.
4*s + 11
Collect the terms in 23226 + v + 6*v + 24155 - 47381.
7*v
Collect the terms in -742*h - 704*h - 24*h**2 + 2616*h - 1170*h.
-24*h**2
Collect the terms in 58*j + 22216 + 11*j
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(363) + -1*sqrt(363))*-2).
5*sqrt(5)/22
Simplify -5*(1*(sqrt(88)*5 + sqrt(88)))/(sqrt(800)*-6).
sqrt(11)/2
Simplify (-2 + sqrt(11) + -1 - sqrt(11))**2 + sqrt(1100)*2 - ((sqrt(121)*-2 - sqrt(121))/sqrt(11) - (sqrt(11) - 2*(-1 + sqrt(11)))).
11 + 22*sqrt(11)
Simplify -1*(-1 + ((sqrt(1539) - (-2*sqrt(1539) + -4) - sqrt(1539)) + (sqrt(1539) - (sqrt(1539) + 1 + sqrt(1539) + -1)) + sqrt(1539))*1)**2.
-6165 - 108*sqrt(19)
Simplify -6*4*((sqrt(704)*2*4)**2 + sqrt(704)).
-1081344 - 192*sqrt(11)
Simplify ((-5 + (sqrt(153) + 6*-2*sqrt(153))/(sqrt(864)/sqrt(6)))*6*-5)**2.
24750*sqrt(17) + 552825/4
Simplify (-6*sqrt(10)*1 - sqrt(20)/sqrt(2)*-4)/(2*sqrt(16)/sqrt(2)).
-sqrt(5)/2
Simplify (6*(0 + (sqrt(68) + -1 + sqrt(68) - sqrt(68)) + 2*sqrt(68) + -1 + 1 + 3))**2.
864*sqrt(17) + 22176
Simplify ((sqrt(68)*-2*3)/(sqrt(20)/sqrt(20))*4)**2 + 5.
39173
Simplify 5*(-4*-2*sqrt(612) - (5 + 1 + sqrt(612))).
-30 + 210*sqrt(17)
Simplify (sqrt(2016)*-2 - 1*sqrt(56))/(-2*(sqrt(90)/sqrt(5))/sqrt(9)).
13*sqrt(7)
Simplify -6*((-4 + 2*sqrt(475))**2 - (1 + -2*sqrt(475))) + 4.
-11486 + 420*sqrt(19)
Simplify ((1*sqrt(5600) + sqrt(5600))*2)/((sqrt(8) + 1*sqrt(800) + sqrt(8))*3) + 2.
2 + 10*sqrt(7)/9
Simplify ((sqrt(165) + -1*sqrt(165)*-4)/sqrt(11))/(-2*sqrt(300)*-3).
sqrt(5)/12
Simplify (-5 + (sqrt(1216)*-1 + 4)**2)*1.
-64*sqrt(19) + 1227
Simplify ((sqrt(6000)*1)/(sqrt(300) + -4*sqrt(300)))**2.
20/9
Simplify (((sqrt(56) - sqrt(14))*-6*-4)/(sqrt(162)*2 + (-1*1*sqrt(2) + sqrt(2) - sqrt(2))))**2.
4032/289
Simplify (((1*sqrt(1008) + sqrt(1008))*-1 + ((sqrt(1008)*-1 - sqrt(1008)) + -2 - sqrt(1008) - sqrt(1008) - sqrt(1008) - sqrt(1008)))*-1 + -5)**2.
-576*sqrt(7) + 64521
Simplify ((1 + sqrt(931))**2 - (sqrt(19)*5 + -4))*-1.
-936 - 9*sqrt(19)
Simplify (4 + (sqrt(65)/sqrt(45) - (-5*(sqrt(208) - sqrt(13)))**2))*2.
-5842 + 2*sqrt(13)/3
Simplify (5*-3*(-5 + (sqrt(72) - 1*sqrt(72)) + 0)*-2)**2.
22500
Simplify (-6*3*sqrt(7)*3 - sqrt(847)*2*-6)**2.
42588
Simplify (-3*-5*sqrt(22))/(sqrt(12)/sqrt(6)*3).
5*sqrt(11)
Simplify ((5*(sqrt(396) + sqrt(396) + 4*(0 + sqrt(396)) + sqrt(396) + 0 + 4 + sqrt(396)) + 1)*3)**2.
90720*sqrt(11) + 5706369
Simplify -2*(1 + sqrt(200) + -2)**2*-5.
-200*sqrt(2) + 2010
Simplify (3*(sqrt(325) - -1*(1 + sqrt(325)) - sqrt(325)) - (sqrt(117) + -5*1*sqrt(117))/((sqrt(72)*-1)/sqrt(8)))**2.
66*sqrt(13) + 1582
Simplify ((sqrt(144)*-5)/sqrt(4))/(-6*sqrt(588) + sqrt(588) + sqrt(588)).
5*sqrt(3)/28
Simplify 0 + (-1*sqrt(2025))/((sqrt(100)/sqrt(5))/sqrt(4)).
-9*sqrt(5)
Simplify -2 + (-3*sqrt(190)*1*5)/(-4*(sqrt(90)*1)/sqrt(9)).
-2 + 15*sqrt(19)/4
Simplify 5*(4 + sqrt(171)*5 - -4*(sqrt(171) + 2))**2.
3240*sqrt(19) + 69975
Simplify (1*sqrt(6292) + sqrt(6292))/((3*sqrt(32))/sqrt(8)).
22*sqrt(13)/3
Simplify 3*((sqrt(1088) - 3*sqrt(1088)*-4)*-1 + 5)**2.
-3120*sqrt(17) + 551691
Simplify ((sqrt(510) - sqrt(510)*2)/sqrt(10))/(sqrt(363)*-1).
sqrt(17)/11
Simplify ((sqrt(243) + (sqrt(243)*-2 - sqrt(243)))*6*-3 - (sqrt(33) - sqrt(1617)*-2)/((-1*sqrt(110))/sqrt(10) - sqrt(11)))**2.
1318707/4
Simplify (sqrt(112)/(sqrt(24)/sqrt(6)*-4))/((sqrt(48) - 3*sqrt(48)*1)/sqrt(12)).
sqrt(7)/8
Simplify 1*(-2*sqrt(180)*4 + sqrt(180))**2 - (-4*(1 + sqrt(605)) + sqrt(605))*5.
165*sqrt(5) + 8840
Simplify (-5*6*sqrt(98)*-1*-1*-3 + 1)**2.
1260*sqrt(2) + 793801
Simplify (sqrt(250) + sqrt(250)*-4 + sqrt(250))/(5*(sqrt(5) - 3*sqrt(5)) - sqrt(5)) + 1.
1 + 10*sqrt(2)/11
Simplify 3 + sqrt(170)/((sqrt(80)/sqrt(2))/sqrt(4)) + (-1*(sqrt(612) + sqrt(612)*-1*1))**2.
3 + sqrt(17)
Simplify ((sqrt(605) + -3 - sqrt(605)) + 2)**2 + (-5 + (-4*sqrt(35))/sqrt(7))**2.
40*sqrt(5) + 106
Simplify ((sqrt(26)/(sqrt(6)/sqrt(3)) - ((2 + sqrt(13) - sqrt(13)) + 0)) + -3)*-3.
-3*sqrt(13) + 15
Simplify ((5*1*sqrt(6)*-1)/(sqrt(15)/sqrt(125)*-5))**2 + 3.
53
Simplify (1 + (sqrt(1053) + 1)*-3 - (3 + 0 + sqrt(1053))*-1)**2.
-36*sqrt(13) + 4213
Simplify 6*(5 + sqrt(63)/sqrt(9) + (sqrt(7) + sqrt(63)/sqrt(9) + sqrt(7))*1).
30 + 24*sqrt(7)
Simplify (sqrt(2) + (sqrt(2) - (-2 + 0 + sqrt(2))) + 5*sqrt(4)/sqrt(2) - (1*1*sqrt(24))/sqrt(12))*-5.
-25*sqrt(2) - 10
Simplify (-4*sqrt(544) - sqrt(544))/(sqrt(2) - 4*((sqrt(2) - sqrt(8)/sqrt(4)) + sqrt(2) + sqrt(2))).
20*sqrt(17)/7
Simplify (0 + (3*sqrt(1331) + 3*sqrt(11)*-1)**2)*1.
9900
Simplify 5*(4 + (4 + -1*sqrt(242) + -3)**2).
-110*sqrt(2) + 1235
Simplify (5*((-2*sqrt(128) - sqrt(128))*-1 - 6*(sqrt(128) + 0))*-2)**2.
115200
Simplify 5*sqrt(18)/(-2*sqrt(9)) + -5*sqrt(2)*-2*2.
35*sqrt(2)/2
Simplify 3 + -5 + (sqrt(352)/sqrt(8) - sqrt(11) - -3*sqrt(396)).
-2 + 19*sqrt(11)
Simplify (sqrt(90)/(sqrt(36)/sqrt(4)))/((sqrt(128) - 2*sqrt(128)) + sqrt(128) + sqrt(128)).
sqrt(5)/8
Simplify (-3 + sqrt(175) + sqrt(7) + (-3 + sqrt(567))**2)*-4.
-2292 + 192*sqrt(7)
Simplify (sqrt(480)/(sqrt(12)*2) + sqrt(4840) + -2*sqrt(4840))/(-1*sqrt(128)*-1) + 5.
-21*sqrt(5)/8 + 5
Simplify 2 + sqrt(175)*2 + -5 + 2 + 4 + -5.
-2 + 10*sqrt(7)
Simplify ((sqrt(304) - (sqrt(304) + -2*sqrt(304)))**2*3 - (sqrt(304) - ((sqrt(304) - (sqrt(304) + 1)) + -1) - sqrt(304))**2) + -5.
3639
Simplify (2 + -4*((sqrt(3328) + -1)**2 - sqrt(3328))*1)*-2.
-384*sqrt(13) + 26628
Simplify (sqrt(77)/(1*sqrt(1584)) + ((sqrt(7) + -1)*4 - sqrt(7) - sqrt(7)) + 3)*5.
-5 + 125*sqrt(7)/12
Simplify ((sqrt(832) + -2 + -2 + sqrt(832) + sqrt(832) + sqrt(832) - sqrt(832))*1 + 0 + -1)**2 + -1.
-240*sqrt(13) + 7512
Simplify 3*(sqrt(68) + (sqrt(68) - sqrt(68)*-2))/sqrt(4) + -2 - (-2*sqrt(187)*-2)/(sqrt(891)*1).
-2 + 104*sqrt(17)/9
Simplify (sqrt(42)*-2*-1 - 3*sqrt(126)/sqrt(3))/((sqrt(5808)*1)/sqrt(8)).
-sqrt(7)/11
Simplify (sqrt(91)/(sqrt(112) + sqrt(7)) + -1)**2 - (sqrt(117)*-2 + 5)**2.
-12287/25 + 298*sqrt(13)/5
Simplify (sqrt(98) + sqrt(98) + 0)**2 + 4 + sqrt(18) + (sqrt(2) + sqrt(6)/sqrt(3)*-3 - (3 + sqrt(2)*-2))**2.
3*sqrt(2) + 405
Simplify ((-2*sqrt(6300)*-1)/(-1*sqrt(324) - sqrt(9) - 6*sqrt(27)/sqrt(3)))**2.
2800/169
Simplify sqrt(20)/sqrt(36) + sqrt(10)/sqrt(2) + 2 - (sqrt(605) - (0 + sqrt(605) + sqrt(605))*4).
2 + 235*sqrt(5)/3
Simplify (-5*((-1 + sqrt(80) - (sqrt(245)*2 + sqrt(245))) + 0)*5)**2.
21250*sqrt(5) + 903750
Simplify 6*(((-2*sqrt(294))/sqrt(6))/(sqrt(7)*2*-5))**2.
42/25
Simplify 0 + 2*sqrt(500)*-1 + sqrt(500) - (sqrt(500) + sqrt(500) + 2 + -1 + 0).
-30*sqrt(5) - 1
Simplify (5*sqrt(686)*2)/((sqrt(1008)*1)/sqrt(9))*5.
175*sqrt(2)/2
Simplify (-3*(sqrt(68) + -1*sqrt(68)*3 - sqrt(68)))/(sqrt(252)/sqrt(7) + sqrt(16)/(sqrt(12)/sqrt(3))).
9*sqrt(17)/4
Simplify (sqrt(2016) + sqrt(2016)*-1)/(sqrt(16)/(sqrt(8) + sqrt(32)/sqrt(4))) + -1.
-1
Simplify (sqrt(132)/(sqrt(36)/(-1*sqrt(3))) + ((sqrt(22) + (-3*sqrt(220))/sqrt(10))/sqrt(2))**2)*4.
-4*sqrt(11) + 176
Simplify (-1 + 3*(sqrt(720) - (0 + sqrt(720))))**2 - (((sqrt(20) + -3 - sqrt(5)) + sqrt(405)/sqrt(9) + sqrt(5))**2 + 0).
-133 + 30*sqrt(5)
Simplify (sqrt(170) - (-1*sqrt(170)*-6 + sqrt(170) + sqrt(170)) - sqrt(170) - (sqrt(170) - (sqrt(170) - (sqrt(170) + sqrt(170)*2*6))))/(sqrt(70)/sqrt(112)).
-84*sqrt(17)
Simplify (4*(-1 + sqrt(288) + sqrt(288)*1 + 1 + sqrt(288) + 1*(1*sqrt(288) - sqrt(288))) + -1)**2.
-288*sqrt(2) + 41473
Simplify 1 + sqrt(600)/sqrt(8) + 3 + 2 + (sqrt(3) - (sqrt(3) - (-1*sqrt(432) - sqrt(3))))**2.
5*sqrt(3) + 513
Simplify ((sqrt(156) - -1*sqrt(156)*-5) + (sqrt(156) - (-1*sqrt(156) - sqrt(156))*6))/(-6*sqrt(768)).
-3*sqrt(13)/16
Simplify (((2 + (sqrt(1568)*1 - sqrt(1568)) + sqrt(1568))**2 - sqrt(1568)) + sqrt(1568))*4.
448*sqrt(2) + 6288
Simplify (sqrt(40) + -6*(sqrt(40) + -4*sqrt(40)))/(sqrt(8) + (sqrt(32)*-3 - sqrt(32))).
-19*sqrt(5)/7
Simplify (sqrt(5808) + sqrt(5808) + -1 + -4)**2 - 1*(sqrt(3888) + 1).
-916*sqrt(3) + 23256
Simplify -5 + -1 + sqrt(52) + sqrt(3328) + 2.
-4 + 18*sqrt(13)
Simplify (((sqrt(456) + sqrt(456)*1)/sqrt(12) - sqrt(38)) + (sqrt(38) + -4*-1*sqrt(38) + sqrt(38) - sqrt(38)))/((sqrt(288)/sqrt(9) - sqrt(2))*-5).
-2*sqrt(19)/5
Simplify 4*(3 + (sqrt(11) - ((sqrt(11)*-2 - sqrt(11)) + sqrt(11))))*-4 + -1.
-48*sqrt(11) - 49
Simplify sqrt(34)/(4*(sqrt(2) + sqrt(8)/sqrt(4))) - (5 + sqrt(34)/sqrt(2) + 5).
-10 - 7*sqrt(17)/8
Simplify ((sqrt(252)/(sqrt(18)/sqrt(2)))/(2*sqrt(576) - sqrt(576)))**2*5.
35/144
Simplify 1 + ((sqrt(245)*-1*-4 - (sqrt(245)*3 + 1 - sqrt(245)))*1)**2.
-28*sqrt(5) + 982
Simplify (1 + 6*(-6*(sqrt(475) + 1)*5 + 2))**2.
300600*sqrt(19) + 15417889
Simplify ((sqr
|
{
"pile_set_name": "DM Mathematics"
}
|
0 (c) 12/11
c
What is the nearest to -2/7 in -4.56737, -2/7, 0.2?
-2/7
Which is the closest to -26? (a) 9/42085 (b) 5 (c) -0.5
c
Which is the closest to 0.3? (a) -0.1 (b) 24.37 (c) -20 (d) 0.16
d
What is the nearest to 4/9 in -813, -3, 1, 1/7?
1/7
Which is the closest to -0.8? (a) 96 (b) -4 (c) 12 (d) -1/16
d
Which is the nearest to 0? (a) 6 (b) -2 (c) 1 (d) -3307 (e) -33
c
What is the nearest to 440 in -41, 1/3, -22/3?
1/3
What is the closest to -2 in 362/41, 29/6, -4?
-4
Which is the closest to -1/8? (a) 3/25 (b) -1 (c) -26.009 (d) -2
a
Which is the closest to -86? (a) -0.41 (b) 6/5 (c) -346
a
Which is the closest to -39? (a) -13 (b) 2 (c) -2/7 (d) -2 (e) 3
a
Which is the closest to 3? (a) -0.0398 (b) -3/5 (c) -0.4 (d) -20
a
Which is the nearest to -77419? (a) 0.3 (b) -1 (c) -3
c
What is the nearest to 11863 in 5, -10/9, -0.5, -3/5, -2?
5
Which is the closest to -12910? (a) -1/2 (b) -0.3 (c) -1452
c
Which is the closest to -0.1? (a) 3 (b) 4 (c) -26/69 (d) -0.2 (e) 24
d
Which is the nearest to 10? (a) -3 (b) 107 (c) 5 (d) 488 (e) 2 (f) -1
c
Which is the closest to -73? (a) 6/17 (b) 32.2 (c) -2/5
c
Which is the nearest to -22? (a) 2/7 (b) -10 (c) -4 (d) -0.34 (e) -1/2
b
What is the nearest to 4.5 in -1.3, -1/3, -5, 210?
-1/3
What is the nearest to 10 in -2/13, -0.2, 42.3, 2?
2
What is the nearest to 56 in 287, 0.1, 0.06?
0.1
Which is the closest to 9/4? (a) 65 (b) 22 (c) -352 (d) 5/3
d
What is the closest to -5/23 in 2/9, -0.1, 5, 382, 84?
-0.1
Which is the closest to 345? (a) 2 (b) -0.4 (c) -0.1 (d) 0.5 (e) 13.41
e
What is the nearest to -3 in 92.35, 0.06, 66, 0.3?
0.06
Which is the closest to 2? (a) -89 (b) 4 (c) 2686 (d) 0.5
d
Which is the nearest to 2? (a) 3.623 (b) 4 (c) 2/11 (d) 15 (e) 0.3
a
What is the nearest to 2 in 2/7, -120236, -8?
2/7
Which is the nearest to 25006? (a) -267/16 (b) 0.4 (c) -1/5
b
What is the nearest to 18 in -1.58, 3/11, 0.3, -1?
0.3
What is the closest to 98516 in -4, -0.1, -3/7, 2/7, -2?
2/7
What is the nearest to 0 in -1277576, -1/6, 2, 3/2, -1/5?
-1/6
What is the closest to 0.39 in 86, -1/4, 4.6?
-1/4
What is the nearest to -9716 in 3/2, 2, 1/3, 0.152?
0.152
Which is the closest to 2/5? (a) 6 (b) -9 (c) -74 (d) 0 (e) 0.4 (f) -57
e
What is the closest to -2/25 in 2/7, -10/7, -1, -3/136?
-3/136
What is the nearest to -0.06 in 2/5, -5/2, 0, -7608?
0
Which is the nearest to 0.1? (a) 3/5 (b) -13505/4 (c) 1/3 (d) -0.5
c
What is the nearest to -1 in 5, -8/9, -2785, -23, -6?
-8/9
Which is the closest to -1/8? (a) -0.5 (b) -8.05672 (c) 5
a
What is the nearest to 3 in -10/7, 442, 0.06, -36?
0.06
What is the closest to -0.0381 in 0.3, -10, 2/7, -0.9?
2/7
What is the closest to -17 in 1, 3, -437331?
1
Which is the nearest to 0? (a) 19 (b) -2/203 (c) 0.051
b
What is the nearest to -16 in -3, 62869, -78?
-3
What is the nearest to -0.2512 in 0.5, -12.1, -1?
-1
Which is the closest to 0? (a) -10/3 (b) -3/4 (c) 1 (d) -295893
b
Which is the closest to 4? (a) -4 (b) -6/19915 (c) 0.09 (d) 0.1 (e) 3/8
e
Which is the closest to -10? (a) 3/2 (b) 3508 (c) -0.4 (d) 12
c
Which is the nearest to 1/3? (a) 122 (b) -4/17959 (c) -2
b
What is the nearest to 2/7 in -9, -16, -111145, 3, -2/3?
-2/3
What is the nearest to -4 in -0.3, 1/2825, 2, 5, -4, 0?
-4
What is the closest to -2 in -8, 5, -1/476, -1, 0.11, -4?
-1
What is the nearest to 1/10 in 2.6, 0.3, -123/7, -3.7, 4, -1?
0.3
Which is the nearest to -33? (a) 0.5 (b) 0.3 (c) 0.20124 (d) -2
d
What is the closest to 0 in -2/71, 0.9, 0.4, -42939?
-2/71
Which is the closest to 3/4? (a) -823 (b) -17 (c) 1/6 (d) -0.3 (e) -0.2
c
Which is the closest to -3? (a) 5 (b) 0.39 (c) -3 (d) 318 (e) -0.1
c
What is the nearest to -0.042 in -8/9, 2/3, -0.1, -10?
-0.1
Which is the nearest to -0.1? (a) -0.1 (b) -1114 (c) -40/13 (d) 1 (e) -20
a
Which is the closest to -2.1? (a) 0.3 (b) -2/37 (c) -1.7 (d) -0.04446
c
Which is the nearest to 0.16? (a) -0.048 (b) -11/2 (c) -2.8 (d) -30
a
Which is the nearest to 3? (a) 1 (b) -7 (c) -0.4 (d) -3 (e) -14.76 (f) -5
a
Which is the closest to 0.3? (a) 1/3 (b) 1/4 (c) 1/155 (d) 4 (e) 0.6 (f) -1
a
Which is the nearest to -1? (a) 3/2 (b) 1 (c) -119 (d) -92
b
What is the closest to 32.1 in -59, 0.3, -7/29?
0.3
What is the closest to 27 in 1, 66, 562, 8?
8
Which is the nearest to -8? (a) 2/13 (b) -3 (c) 1/2 (d) 4 (e) 3601/7
b
What is the nearest to -0.5 in -1/2, -1/9, 15, -7/10?
-1/2
What is the closest to 6/11 in -1/64, 2, 0.4, 1/7, -9131?
0.4
What is the closest to -17.7 in 7, -14, 0.01, 0.4?
-14
What is the closest to 11 in -37.9, -49, 0.5?
0.5
What is the nearest to -5 in -4.9, 0.03, 6, -0.06, -0.11, -4?
-4.9
What is the closest to -0.1 in 117, 2/15, 0.2, -269/4, 2/9?
2/15
What is the nearest to -1/3 in 0.194709, 1, 6?
0.194709
Which is the nearest to 0.05? (a) -0.1 (b) -1/3 (c) 4152/23
a
Which is the closest to 0.23? (a) 1/4 (b) -5816 (c) -87
a
What is the nearest to 1 in -60/13, 2, 6710, 9?
2
What is the closest to 0.02 in -4/3, 3/7, 26/9, -0.21, -1/15?
-1/15
Which is the nearest to -3? (a) -429 (b) 19/2 (c) 62
b
What is the closest to 6 in -1625.38, -5, 5?
5
What is the closest to 69 in -94, 1/5, -0.13, -218?
1/5
Which is the closest to 1? (a) -2 (b) 0.26 (c) 49 (d) 2/15 (e) 5/7
e
What is the nearest to -2/3 in 1/7, -0.6, -124, 0, -0.54, 6/11?
-0.6
Which is the nearest to 1? (a) 1/2 (b) -0.02 (c) -1 (d) -13 (e) 22.6
a
What is the nearest to 2/1089 in 0.2, 0.3, 0.1, 10.9, -7?
0.1
Which is the closest to 3/2? (a) 0.041 (b) 3 (c) 1 (d) 64 (e) 7
c
Which is the closest to -10? (a) -5 (b) 2.1 (c) 1.061 (d) 1/3 (e) 46
a
What is the nearest to -1 in 4, 2/1027, 43/3?
2/1027
Which is the nearest to -461? (a) -0.2 (b) -3 (c) -40.99
c
Which is the closest to -277? (a) 3/5 (b) 3 (c) -2 (d) -4 (e) -83
e
Which is the nearest to -0.128? (a) 2/3 (b) -28 (c) -12 (d) 0.006 (e) 0.2 (f) 2
d
Which is the closest to 0? (a) -11 (b) -0.67 (c) 13 (d) 2/5
d
What is the closest to 3261 in 0.5, 1427, -2?
1427
Which is the nearest to 211? (a) 0 (b) 1 (c) 0.1 (d) -104
b
What is the closest to -18699.6 in -0.08, -2/69, 1?
-0.08
What is the nearest to 0.1 in 20/241, 9/4, 18?
20/241
What is the nearest to -4104 in 5, -7, -1/11, 0?
-7
Which is the closest to 0.06? (a) 1/98 (b) -132 (c) 4 (d) 0.2 (e) 0.5 (f) 0.6
a
Which is the nearest to 7.3? (a) -185 (b) 140 (c) 4
c
Which is the nearest to 1? (a) -5 (b) 2/215 (c) 1/4 (d) -36415
c
What is the nearest to 2/5 in 0.4, -8, 39.9, -0.02005?
0.4
Which is the closest to -0.3? (a) -20.7 (b) 1 (c) 0.2 (d) -5 (e) 0.064
e
Which is the nearest to 0? (a) 2/133 (b) 12 (c) -2/8099
c
What is the closest to 1 in -5, 55/36, -4, 0.012, -11?
55/36
What is the closest to -1.15536 in -2, 5, 4/5, -5?
-2
Which is the closest to -554? (a) 1/26 (b) -2/7 (c) -6 (d) 1.4
c
Which is the closest to 0.1? (a) 2/9 (b) -28 (c) -1/4 (d) 1 (e) 2/7 (f) -8
a
What is the nearest to -2 in 4, 11660, -1/4, -98, 1?
-1/4
Which is the nearest to 5? (a) 173479 (b) 0.03 (c) -3/2
b
Which is the nearest to -383? (a) 1 (b) 2/3 (c) 1/16 (d) -1 (e) -75
e
Which is the nearest to 0.01? (a) -2 (b) -12 (c) -157/113
c
Which is the nearest to 451? (a) 0.12 (b) -23182 (c) 5
c
Which is the closest to -0.001? (a) -591 (b) 2/5 (c) -0.5 (d) -0.1 (e) -40 (f) 1
d
What is the nearest to -4/11 in 13, -1/2, -7449, 0, 2?
-1/2
What is the nearest to -15 in -82.791, -3, -55/4?
-55/4
What is the nearest to -68 in -5, -3, 0.418, 0.2, -4/5?
-5
Which is the closest to 91.5? (a) 4 (b) -3 (c) 1/2 (d) -0.08 (e) -85/11
a
What is the nearest to -1/2 in 0.2425, -0.1, 1786?
-0.1
What is the nearest to -0.4 in -64, 4, 61, -1/3, 1/9?
-1/3
What is the nearest to 1/24 in 1/5, 0.4, -0.1, 102272?
-0.1
Which is the nearest to -0.2? (a) -68/7 (b) -2/9 (c) 20/9 (d) 1/3 (e) 1/19
b
Which is the nearest to -40? (a) -3 (b) -2 (c) 136/965 (d) -1/5 (e) 2/17
a
Which is the nearest to 7.7? (a) 1.7807 (b) -0.5 (c) -0.02
a
What is the closest to 1/190 in -0.2, 2/3, 2/15, -5, 1/2?
2/15
What is the nearest to -321.3 in -24, 2/7, 5/4, 0.1?
-24
Which is the closest to 3? (a) -3.093
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4*s = 5*c + 16. Is -1/8 at most as big as c?
True
Let f = 98 - 109. Let u = f + -14. Is u > -24?
False
Suppose 3*z - 4107 = 40*z. Is -112 not equal to z?
True
Let o(i) = -i**3 - 8*i**2 - 8*i + 7. Let m be o(-7). Let q be 24/m*1/(-2). Let l be 8/32 - (-2)/(-8). Is l > q?
True
Let u = 5 - 28. Let l(f) = 23*f - 23. Let q be l(-19). Let y be ((-2)/(-4))/(10/q). Is u bigger than y?
False
Suppose 5*j - 160 = 5*t + 6*j, -5*t - 170 = 3*j. Do -30 and t have the same value?
False
Let i = 535 + -247. Is -1 <= i?
True
Let y be 150/3204*(-16)/(-20). Which is bigger: 1 or y?
1
Let m(z) = -z + 1. Let w be m(-3). Let u be -4 - 0 - 15*w/(-14). Let k = 0.1 + -0.1. Is k < u?
True
Let v = -1.6 + 0.5. Let c = v + 9.1. Let n = c - 2. Is n at most as big as -2?
False
Let o be 2*-1 - -1 - (-12 + 10). Suppose 14 = 13*j + o. Is 16/13 smaller than j?
False
Let w be (2/(-6))/(65/117). Suppose 4*s + 15 = -1, -12 = -3*x + 3*s. Suppose x = 3*b + b + 4. Is b at most w?
True
Let u = 0.043 + 14.757. Let w = u + -10. Let j = 0.8 - w. Is j less than or equal to -2/5?
True
Let m(k) = -2*k**2 + 9*k - 10. Let q be m(6). Let i = 28 + q. Is i > 1/45?
False
Let t = -58 - -1216/21. Let o = 2 + -1. Let i = 1.1 - o. Is t not equal to i?
True
Let y(v) = -v + 9. Let j be y(10). Let t be (4 - 35/5)*10/165. Is j not equal to t?
True
Let r = 39437/7 + -5651. Which is smaller: -18 or r?
-18
Let f = -7 - -1. Let r = f + 11. Let d be r + -8 + (-4)/(-2). Is d at most -15/7?
False
Suppose 3*c = 12 + 39. Suppose c + 19 = 2*f. Let v be (1 - -2 - 37)/(-2). Which is greater: v or f?
f
Let q = -0.0262 + -0.0738. Which is bigger: q or 295?
295
Suppose 3*s - 2*m - 1296 = 0, -5*s + m - 1717 = -9*s. Is s greater than 428?
True
Let d be (-3 - 15)*2/(-5 - 1). Suppose -d*q = -4*q - 14. Is q at least 7?
True
Suppose 5*w = 6*w + 44. Let r be w/(-12) + 2/(-3). Suppose -5 + 11 = -r*s. Which is bigger: 0.1 or s?
0.1
Suppose -3*o = -5*y + 52 + 15, -y - 3*o + 17 = 0. Suppose -4*s = y + 2. Let x be (-4)/(2/(-12)*s). Which is bigger: 1/5 or x?
1/5
Suppose 0 = 4*i - 6*i - 10, 5*i + 53 = -4*l. Suppose 109 = 3*v + 127. Which is greater: l or v?
v
Suppose -2*m - 2*s + 22 = 0, 2*s + 2*s - 4 = 0. Is m < -6?
False
Let p be (-95)/184 + (-6)/(-4) + -1. Let y = 329/2392 - p. Which is smaller: y or -1?
-1
Suppose -60 = 39*v + 21*v. Is v <= -3.1?
False
Let o = 289 + -278. Which is smaller: o or -0.27?
-0.27
Let y = 8 - 4. Suppose 0*u = y*u. Let s be -1 - (-1 - 1/(-1)). Is u at most as big as s?
False
Let g = 16 - 10. Let n(j) = j**3 + 5*j**2 + 8*j + 13. Let p be n(-3). Which is bigger: p or g?
p
Let k be 1111/99 - 2/9. Suppose -x = 5*o + k, -2*x - 2*x = o - 32. Is 8 less than x?
True
Let o be 42*(1 - 10/(-14)). Which is greater: 75 or o?
75
Let f be 4/(-1) - (-4 + -2 + 4). Which is smaller: 6 or f?
f
Suppose -75*l = -67*l + 32. Which is greater: -41/12 or l?
-41/12
Suppose 0*j + j + 17 = -4*l, -l - 5*j = 28. Let x be -1 + ((-1)/5)/(1/(-5)). Suppose 0 = -7*s + 7 - x. Is l greater than or equal to s?
False
Let d(o) = o**3 + 3*o**2 + 3*o + 7. Let l be d(-3). Let t be (-3 - (-94)/28)*l. Do t and -2 have the same value?
False
Let o = -2.9 + 3. Let p = -51 - -56. Let l be (52/715)/((-1)/p). Is o less than or equal to l?
False
Let r be (-756)/(-36)*(-1 + -1 - -1). Let f = -19 - r. Which is smaller: -5/2 or f?
-5/2
Let p(h) = h**3 - 9*h**2 + 9*h + 3. Let u be p(8). Let q = u - 9. Suppose 3*c = q + 1. Which is greater: -1/7 or c?
c
Suppose -o - 2*o = 5*c - 19, 14 = c + 4*o. Do c and 30/37 have different values?
True
Suppose -4*g + h + 2*h = -14, 0 = -2*g + 5*h + 14. Is g < -3?
False
Let x = -220670443/37 - -5963638. Let u = -428 - x. Which is bigger: 0 or u?
u
Suppose 2*i = 16*z - 15*z - 191, 0 = -4*i + z - 381. Are i and -103 non-equal?
True
Suppose -3*f - 2*f - 25 = -3*v, -4*v - f - 5 = 0. Let u be (-3 - v/1) + 2. Which is bigger: u or -2/5?
-2/5
Let o be 5 + 11/(-2) + 11/2. Suppose 20 = 5*q - 0*q - o*t, -5*q + 2*t + 8 = 0. Which is greater: q or -1/4?
q
Let d be (-88)/99*(-3)/(-212). Is 0 at most d?
False
Let b(f) = -5*f + 16. Let z be b(6). Let n = z + 29/2. Let p be (8/3)/((-2)/(-6)). Which is smaller: p or n?
n
Let j be (-3*1)/(2/8). Let b = 439 - 428. Let m = j + b. Which is smaller: 6 or m?
m
Suppose -3*t - 2 = 4. Suppose 4*y = -4*g - 0 + 24, 3*g = y - 2. Let x be g*-15*(-7)/(-21). Is t greater than or equal to x?
True
Let y be 0*2/4 + 674/(-2359). Is -1/142 smaller than y?
False
Suppose 0 = 2*b + 4, 3*b + 30 = -z + 5*z. Suppose z*n - n - 60 = 0. Does n = 12?
True
Let s = 1862/15 - 123. Which is bigger: 2 or s?
2
Let g = -186 - -185. Let j = -7 - -10. Let d be 2 - ((-153)/(-12))/j. Which is smaller: d or g?
d
Let u = -562 + 43270/77. Which is smaller: 0 or u?
u
Let a = -167 + 196. Which is bigger: 27 or a?
a
Let k(a) = -a**2 + 10*a + 12. Let y = -14 + 17. Suppose s + 7 = t, -t + 5*s - 42 = -y*t. Let i be k(t). Which is smaller: 3 or i?
i
Let s = 3.32 - -0.48. Let b = 5.8 - s. Which is smaller: b or 9?
b
Let r be 5/((-28)/(-8) - 1). Let k be r/((-2)/(-16)*-1). Which is greater: -14 or k?
-14
Let v be (-270)/(-40) - (-1)/4. Let j = v + -22/3. Let u(c) = -c**2 + 3*c - 1. Let d be u(3). Which is bigger: j or d?
j
Suppose 0 = 3*j - j - x - 46, -4*j + 4*x + 96 = 0. Is 22 <= j?
True
Let w = 105 + -114. Which is smaller: w or -19?
-19
Suppose 0 = 3*o - 4 + 1. Let j = 19553/15 - 1304. Let u = j + 4/5. Which is bigger: u or o?
o
Suppose -b - 9 + 1 = 0. Suppose -8 = 2*t - 4*l, 3*t - 2 = 4*t - 4*l. Let g be (t - -4)*((5 - 3) + 2). Are g and b non-equal?
False
Let q = 13 + 37. Let z = 879 + -828. Which is bigger: z or q?
z
Let i = -365 - -363. Which is smaller: i or 91?
i
Let p = -2.9 + -55.1. Let w = 61 + p. Is -3/4 <= w?
True
Let j = 394.3 - 331. Let s = j + -66. Let x = -0.3 + s. Which is bigger: x or 0?
0
Let b(o) = 10*o - 2. Let g(l) = 19*l - 5. Let f(m) = -5*b(m) + 3*g(m). Let s be f(2). Are 7 and s non-equal?
True
Let q = -88.049 - -88. Let i = -0.161 + q. Which is greater: i or -1?
i
Let b = -132487/2271 - -4/757. Let n = -4805498 + 446916733/93. Let k = b + n. Which is smaller: k or 0.1?
k
Let t be (-102)/119 - (-44)/42. Is t at most as big as -1?
False
Let r = 25.2 - -0.4. Let o = r + -5.6. Which is greater: 2 or o?
o
Suppose -3*h - 17 = -2*j, 0*j - h - 11 = -2*j. Let f = 6 - j. Suppose 21 = y - 3*w, -3*w = f*y + 2*y - 24. Is 11 equal to y?
False
Let l(c) = -3*c - 33. Let y be l(-14). Suppose -y*z = -5*z. Which is smaller: z or 2/37?
z
Let v be (12/(-3))/(-2) + -2. Let k be v - (6/9)/((-6)/(-81)). Is 2 not equal to k?
True
Let b = -40 + 42. Suppose 0 = b*j + 35 - 25. Are j and -3 non-equal?
True
Let h(o) = o**2 - 3*o + 2. Let l be h(6). Let q = l + -35. Is q less than or equal to -16?
False
Let x = -3 + 0. Let l = 523.7 + -524. Which is greater: l or x?
l
Let u = -25/292 - 12/73. Which is smaller: 0.427 or u?
u
Let v be (25/(-150))/((4/9)/(-4)). Let b(u) = -3*u. Let w be b(4). Is v != w?
True
Suppose -4*c = c - 5, 8 = b + 4*c. Suppose -2*p + b*o - 6 = 0, 5*o - 9 = -0*p + p. Is p greater than or equal to 0?
True
Let y be (-8)/(-6) - 1 - 1232/(-12). Suppose 7*s + 100 = -y. Is -28 <= s?
False
Let a(z) = 188*z + 7. Let l be a(1). Let p be 399/l + 8/52. Which is smaller: p or 0?
0
Let v = 174.2 + -173. Let t = 0.02 - -6.18. Let m = v - t. Is m bigger than 2/5?
False
Suppose 6513 = -35*f + 22*f. Are -502 and f unequal?
True
Let k be (-30)/12*(-14)/5. Let i be ((-8)/(-3) - 3)/((-4)/60). Is k >= i?
True
Let y = 356 + -162. Is 195 greater than y?
True
Suppose -7 = -5*b + 5*g - 2, 4*b - 10 = g. Let y be (180/(-108))/(b + 0 - 1). Which is smaller: 0.06 or y?
y
Let m be (96/(-60))/(3/(-75)). Let a be ((-2)/12)/(14/(-21)). Which is smaller: m or a?
a
Let d be (-2)/(-3)*(-9)/3. Let s be (23/(-9) - 0) + (-834 - -836). Does d = s?
False
Let z be 4/(-6) + 19/(-3). Suppose 2 = -0*o + o. Suppose -o*f + 4*f + 12 = 0. Which is smaller: f or z?
z
Suppose 2*j - o = 7, -2*o + 2 = 5*j - 2. Suppose 0 = j*u - 3*u + 1. Let y be 0/(-4)*(u + -2). Are 12/13 and y non-equal?
True
Let w = 10412/3 + -31084/9. Let f = -421/18 + w. Suppose 0 = -34*v - 549 + 311. Is v at most f?
True
Let a = -1085 + 1108. Which is greater: a or 31?
31
Let y be 8 + 9/(-3) + -1. Suppose 0 = -4*z + y*d - 9 - 11, -4*d + 20 = -2*z. Is z bigger than 2/13?
False
Let l be 15/((-4)/(-8) +
|
{
"pile_set_name": "DM Mathematics"
}
|
1 in 11/5, 5, 0.05?
0.05
Which is the nearest to -2/3? (a) -8 (b) -0.082 (c) -4 (d) 0.05 (e) 1
b
Which is the closest to 10134253? (a) -0.1 (b) 2 (c) -6
b
What is the nearest to -1 in -187, -0.17, -3/16?
-3/16
What is the nearest to -1/2 in -0.3, 1, 498, 2?
-0.3
Which is the closest to -1/4? (a) 10 (b) 0.2 (c) 1/2 (d) 10/109
d
Which is the nearest to 21? (a) 30 (b) -5 (c) 0.081 (d) 39/2
d
Which is the closest to -1? (a) 101.63 (b) 2/5 (c) 6
b
What is the closest to -1792 in -9, 4, 0, 9/4?
-9
Which is the nearest to 22? (a) -1/4 (b) 0 (c) -1/2 (d) -4 (e) 24.8
e
Which is the closest to 142? (a) -3 (b) -0.3 (c) 7 (d) 41
d
Which is the nearest to 2/9? (a) 8 (b) 5 (c) -0.2 (d) 2/17 (e) 0.007
d
Which is the closest to 3/5? (a) -681 (b) 0.4 (c) -15828
b
What is the closest to 3 in 5, 13.4, -9, 1.8?
1.8
Which is the closest to -2/35? (a) -0.4 (b) -4 (c) 17 (d) 2 (e) 59866
a
What is the nearest to -6 in -1/5, 50/3, 0.2, 3, 1, 6?
-1/5
Which is the closest to 565834? (a) -1/2 (b) -1/3 (c) 1.2
c
Which is the nearest to -7/12? (a) 3810 (b) 4 (c) 2/3
c
Which is the nearest to 1? (a) 38 (b) -4/29 (c) 0.1303
c
What is the nearest to 5 in 2, 104, 4, -4, 0.15?
4
What is the closest to -29 in 225/2, -0.51, -1/5?
-0.51
Which is the nearest to -1/9? (a) 0.01 (b) -2/3 (c) 8 (d) -1.6
a
What is the closest to -1/5 in -2/7, 196, -5, -29, -4?
-2/7
What is the closest to -2 in 7.3, 0.4, -2228.5?
0.4
What is the nearest to -11 in 4/7, 2, -1/77, -11, 25/3?
-11
What is the closest to -6809 in 1, -0.11, 0.06?
-0.11
What is the nearest to 34 in 4, 19.95, 0.1, -0.4?
19.95
What is the closest to 1/2 in -31, 0.16, 1/4, -11, 3?
1/4
Which is the nearest to -2/7? (a) -2.403 (b) -18 (c) 2/11 (d) 0.2 (e) -3 (f) 1/4
c
Which is the nearest to -0.1? (a) -1 (b) 317 (c) 224 (d) -1/11
d
What is the nearest to -0.3 in -5, -23403, 0.4, 1/6?
1/6
What is the nearest to -0.2 in -1, 0, -288/11, -8/9, -1/6, 4/9?
-1/6
What is the nearest to -1 in 71, 633.98, 0.3, 1?
0.3
What is the nearest to -273 in 0, -0.37, 2/9, 0.5, 2, -0.3?
-0.37
What is the closest to 14 in 4, 15, -2.2, 0.2, -4/5?
15
What is the nearest to -6 in -86, -0.6, -71, 0.5, -9?
-9
What is the closest to -51/10 in 8, -6/5, -2/11, 19?
-6/5
Which is the closest to 0.014? (a) -3 (b) 35.8 (c) 136
a
What is the nearest to 0.092 in -550, 5, -1/2, -1/9?
-1/9
Which is the closest to 4? (a) 0 (b) -2765 (c) 4/59
c
Which is the closest to 411/20? (a) -1 (b) 1.473 (c) 4
c
What is the nearest to 0 in -16/13, -4, 2/5, 23, -0.1?
-0.1
Which is the nearest to 0.74? (a) 1 (b) -106 (c) -203
a
What is the closest to -2/3331 in -83, 6/5, 0.1?
0.1
Which is the closest to -0.03? (a) 1 (b) -0.11 (c) 49 (d) 257 (e) 0.1
b
Which is the closest to -1/18? (a) -3 (b) 2 (c) 3 (d) -0.2 (e) 3429
d
Which is the nearest to -3/280? (a) -3/254653 (b) -1/2 (c) -1/4
a
What is the nearest to -1 in 1/164, 0.094, 441?
1/164
Which is the nearest to 0? (a) 1489 (b) -1 (c) -0.79 (d) -0.5
d
What is the closest to 1/3 in -0.1, -0.0415, 3/6845?
3/6845
Which is the nearest to -2/91? (a) -32 (b) 2923 (c) 1
c
Which is the nearest to -10? (a) 241 (b) 0.01 (c) -1 (d) 4 (e) 2
c
Which is the nearest to -17/3? (a) 0.2 (b) 33819 (c) -0.9 (d) 2
c
Which is the nearest to -103? (a) -0.5 (b) -0.139 (c) -9
c
What is the nearest to -0.44 in -731, -271, 0.4, 3/5?
0.4
Which is the closest to 0.29? (a) 3/7 (b) 3/5 (c) 93 (d) 0.05 (e) 86
a
Which is the closest to 0.8? (a) -6/53 (b) -3 (c) -2/17 (d) 10 (e) -10 (f) 0
f
Which is the nearest to 1/4? (a) 0.5 (b) -7 (c) 4 (d) 1174081
a
What is the closest to 50909 in -2/29, 3/2, 0, 0.1, 6/7?
3/2
What is the nearest to 1/2 in -0.7, -2/15, -0.1, 5.56, 6?
-0.1
Which is the nearest to 0? (a) -2/25 (b) 28 (c) 590.6
a
Which is the nearest to 4/249? (a) 5 (b) 0.1 (c) -13 (d) -3 (e) 1/3
b
Which is the closest to -1/8? (a) -19 (b) -4 (c) -3/2 (d) 0.057 (e) -0.5
d
Which is the closest to 4? (a) -0.0074 (b) 1/29 (c) 3
c
Which is the closest to -1? (a) 13 (b) -918 (c) 1 (d) -20 (e) 3
c
What is the nearest to -0.05 in 0.3, -15.109, -0.17?
-0.17
Which is the nearest to -36/7? (a) -0.22 (b) -1/2 (c) -4 (d) 21
c
Which is the nearest to 2/75? (a) -0.164 (b) 9 (c) -1 (d) -3
a
Which is the nearest to 6? (a) 0.5 (b) 3566 (c) -1
a
Which is the nearest to -1? (a) -0.2 (b) 353 (c) -2/5 (d) -3 (e) -389
c
Which is the nearest to 1/3? (a) -1/21 (b) 0.055 (c) -91
b
Which is the closest to 18? (a) 2 (b) 15 (c) 3/2 (d) 40 (e) 16
e
What is the closest to 0.5 in 0.01, -2.2, 15, -2/3?
0.01
Which is the nearest to 60.54? (a) 3 (b) 36 (c) 4
b
What is the nearest to 75 in -1/2, 0.14, 17/3, 5, 0.1?
17/3
Which is the nearest to 1? (a) -0.3 (b) -3 (c) 97808 (d) -19
a
Which is the closest to 1/2? (a) 6 (b) -0.02 (c) -4836
b
What is the closest to -2 in -184, -25, 0.1, 116, 3/2, -0.4?
-0.4
What is the nearest to -840.7 in -1, -9, 5?
-9
Which is the closest to 5161? (a) 3149 (b) 3/7 (c) -5
a
Which is the nearest to 63? (a) -0.2 (b) -18489 (c) 3 (d) -26
c
Which is the nearest to -2? (a) 0.30998 (b) 57/8 (c) 1/7
c
What is the closest to -0.4 in -1/3, -3/2, -1164, 2, 11?
-1/3
Which is the nearest to 0.1? (a) -20/19 (b) 1 (c) 3/10 (d) -83
c
Which is the nearest to 0? (a) 2.05 (b) 0.02142 (c) -2/7
b
What is the closest to -2 in 5, -1, -2/109, 595.9?
-1
Which is the closest to -10? (a) 0.4 (b) 0.06 (c) -3/7 (d) 1635
c
Which is the closest to 1/29? (a) -6 (b) 2 (c) -5 (d) -55/2 (e) 0.07
e
Which is the closest to 1? (a) -8 (b) 151 (c) -3 (d) -8/263 (e) 0.1
e
What is the closest to 1 in -5/3, 5, -2/437, 0.5, 2/11?
0.5
What is the nearest to -2/3 in 4, -3.54, -1/104, -49?
-1/104
What is the nearest to 1/2 in -2/3, 1, -3/2, 3, -1.24?
1
Which is the nearest to 0? (a) -0.4 (b) -9 (c) -0.08 (d) -144.79 (e) 4/3
c
What is the nearest to -71/33 in -2, 0.02, 8?
-2
What is the nearest to 3/7 in 0.2, 1/2, -6.31, -2, 1, -41?
1/2
Which is the closest to -0.99? (a) -0.079 (b) 0.1 (c) 2/45 (d) -0.5 (e) 0.3
d
Which is the nearest to 0.4? (a) 0.46 (b) 0.437 (c) -2/9
b
Which is the nearest to 3? (a) 1.42 (b) -0.4 (c) -1.97 (d) -1/5
a
What is the nearest to -2 in 0.2, 1847, -1375?
0.2
What is the closest to 2 in 5, 2.86, -2, -477?
2.86
Which is the nearest to 128246? (a) -2/3 (b) 5 (c) -4.8
b
Which is the closest to -2/5? (a) -0.08 (b) -4 (c) 0.2 (d) 13.6203 (e) -0.8
a
Which is the closest to 0? (a) 6 (b) -355 (c) 1.56 (d) 70
c
Which is the closest to 0.2? (a) 17.5 (b) 1.5743 (c) 0
c
Which is the nearest to -1/2? (a) -569.7 (b) 61/5 (c) 2
c
What is the closest to 25/6 in -3, -0.634554, -4?
-0.634554
What is the closest to 1 in 5, -2/3, 0.3, -0.5, 168/2573?
0.3
Which is the closest to -14? (a) 40 (b) 1 (c) -2/5 (d) 6.7 (e) -2
e
Which is the nearest to -1/2? (a) -55 (b) 5052 (c) 5/4 (d) 5
c
Which is the closest to -1/5? (a) 0.4 (b) -1 (c) 1 (d) 1660/7
a
Which is the nearest to 0.2? (a) -2/251 (b) -1/366 (c) 2/7 (d) 2/77 (e) 1
c
What is the nearest to -1 in 0.2, -1799, 783?
0.2
Which is the closest to -1/4? (a) -4/5 (b) -34650 (c) 1017
a
What is the closest to -111 in 0.3, 3/46, -0.4, 11?
-0.4
Which is the closest to 1.4? (a) 2362 (b) 24 (c) -0.1 (d) -8
c
What is the nearest to 0.52 in 0, 3.237, -45?
0
What is the closest to 20 in -17, -12, 0.4, -2?
0.4
What is the nearest to -4/5 in -0.4, -2241/10, 39?
-0.4
What is the nearest to 2/3 in -4/7, 1/8, 17, -1, -45.73?
1/8
Which is the closest to 1/2? (a) -3 (b) 0.3 (c) -0.193 (d) -1/6 (e) 4/3715
b
What is the nearest to 0.1 in 1, 15, 22218?
1
Which is the closest to 7.3? (a) -0.2 (b) -13 (c) 5 (d) 0.064
c
Which is the nearest to -3/13? (a) 0.01 (b) 1.01 (c) -22
a
What is the nearest to 374189 in 1/3, 2/7, 0.5, 3?
3
What is the nearest to -10758/19 in -2/9, 342, 5, -3?
-3
Which is the closest to -2/9? (a) -19 (b) 8 (c) -1 (d) -6.2 (e) 2/9
e
What is the nearest to -16.1 in 31, -1/5, 0, 3.1705?
-1/5
Which is the closest to 3? (a) 88 (b) -1 (c) 0.71
c
Which is the closest to -272? (a) 2/27 (b) -18/7 (c) 0.3 (d) 3
b
Which is the closest to -961/12? (a) -4 (b) -3/4 (c) 2 (d) -2/13 (e) 5
|
{
"pile_set_name": "DM Mathematics"
}
|
en 11:55 PM and 4:58 AM?
303
How many minutes are there between 1:27 PM and 1:37 PM?
10
What is 424 minutes after 1:25 AM?
8:29 AM
How many minutes are there between 6:46 AM and 2:22 PM?
456
What is 504 minutes before 6:14 AM?
9:50 PM
How many minutes are there between 9:18 AM and 11:51 AM?
153
What is 204 minutes after 9:23 PM?
12:47 AM
How many minutes are there between 4:10 PM and 6:22 PM?
132
How many minutes are there between 10:05 AM and 8:57 PM?
652
How many minutes are there between 6:14 AM and 2:58 PM?
524
What is 581 minutes after 9:44 PM?
7:25 AM
What is 126 minutes after 10:09 PM?
12:15 AM
How many minutes are there between 10:18 PM and 9:10 AM?
652
How many minutes are there between 2:33 PM and 3:24 PM?
51
What is 524 minutes before 4:36 AM?
7:52 PM
What is 570 minutes after 10:11 AM?
7:41 PM
What is 416 minutes after 6:15 AM?
1:11 PM
How many minutes are there between 9:14 PM and 7:53 AM?
639
What is 549 minutes after 7:31 AM?
4:40 PM
How many minutes are there between 5:33 AM and 12:32 PM?
419
How many minutes are there between 6:48 AM and 12:19 PM?
331
How many minutes are there between 1:08 PM and 3:18 PM?
130
What is 503 minutes before 11:14 AM?
2:51 AM
What is 493 minutes after 4:16 AM?
12:29 PM
How many minutes are there between 6:15 AM and 8:50 AM?
155
How many minutes are there between 2:54 PM and 11:57 PM?
543
What is 646 minutes before 7:52 PM?
9:06 AM
What is 204 minutes after 2:15 AM?
5:39 AM
What is 556 minutes before 1:55 AM?
4:39 PM
How many minutes are there between 2:32 PM and 9:35 PM?
423
What is 617 minutes before 7:36 PM?
9:19 AM
How many minutes are there between 10:16 PM and 4:29 AM?
373
What is 331 minutes after 7:56 PM?
1:27 AM
What is 706 minutes after 2:54 PM?
2:40 AM
How many minutes are there between 12:09 PM and 1:26 PM?
77
What is 414 minutes before 3:43 PM?
8:49 AM
How many minutes are there between 8:41 PM and 3:21 AM?
400
What is 493 minutes after 3:47 PM?
12:00 AM
What is 418 minutes after 2:51 AM?
9:49 AM
How many minutes are there between 2:27 AM and 12:50 PM?
623
What is 657 minutes before 7:37 PM?
8:40 AM
How many minutes are there between 7:50 AM and 3:16 PM?
446
What is 570 minutes before 5:32 PM?
8:02 AM
How many minutes are there between 3:19 AM and 5:48 AM?
149
How many minutes are there between 11:45 PM and 6:26 AM?
401
How many minutes are there between 7:00 AM and 7:50 AM?
50
What is 664 minutes before 11:09 AM?
12:05 AM
How many minutes are there between 12:43 AM and 7:46 AM?
423
What is 592 minutes after 6:31 AM?
4:23 PM
How many minutes are there between 3:38 PM and 4:41 PM?
63
What is 490 minutes after 6:28 PM?
2:38 AM
How many minutes are there between 7:25 PM and 5:34 AM?
609
How many minutes are there between 4:17 AM and 9:38 AM?
321
How many minutes are there between 6:19 PM and 5:19 AM?
660
What is 607 minutes before 8:14 AM?
10:07 PM
How many minutes are there between 4:22 PM and 7:09 PM?
167
What is 171 minutes before 8:47 PM?
5:56 PM
How many minutes are there between 8:45 PM and 4:10 AM?
445
What is 90 minutes before 3:59 PM?
2:29 PM
What is 643 minutes before 10:01 PM?
11:18 AM
What is 503 minutes after 9:14 PM?
5:37 AM
What is 414 minutes after 6:15 PM?
1:09 AM
How many minutes are there between 5:30 AM and 10:32 AM?
302
What is 292 minutes after 10:11 AM?
3:03 PM
How many minutes are there between 8:53 AM and 6:31 PM?
578
How many minutes are there between 6:06 PM and 10:30 PM?
264
What is 589 minutes after 2:15 AM?
12:04 PM
What is 584 minutes after 10:44 AM?
8:28 PM
What is 194 minutes after 6:46 PM?
10:00 PM
What is 667 minutes after 3:19 PM?
2:26 AM
What is 117 minutes before 2:48 PM?
12:51 PM
How many minutes are there between 3:17 PM and 1:29 AM?
612
What is 386 minutes before 1:57 PM?
7:31 AM
What is 207 minutes before 11:49 AM?
8:22 AM
How many minutes are there between 1:58 PM and 11:05 PM?
547
How many minutes are there between 11:37 AM and 9:05 PM?
568
How many minutes are there between 1:37 PM and 2:15 PM?
38
How many minutes are there between 12:35 PM and 9:00 PM?
505
How many minutes are there between 10:13 AM and 8:12 PM?
599
What is 202 minutes before 5:03 AM?
1:41 AM
What is 209 minutes after 3:38 PM?
7:07 PM
What is 89 minutes after 6:10 PM?
7:39 PM
How many minutes are there between 4:11 PM and 8:02 PM?
231
What is 48 minutes before 4:46 PM?
3:58 PM
What is 532 minutes before 1:26 PM?
4:34 AM
What is 655 minutes before 2:36 PM?
3:41 AM
How many minutes are there between 8:54 AM and 9:29 AM?
35
What is 583 minutes after 3:48 AM?
1:31 PM
How many minutes are there between 8:59 PM and 8:24 AM?
685
How many minutes are there between 1:19 AM and 6:19 AM?
300
How many minutes are there between 2:11 AM and 8:36 AM?
385
How many minutes are there between 10:08 AM and 2:32 PM?
264
What is 572 minutes after 1:47 PM?
11:19 PM
What is 115 minutes before 10:32 PM?
8:37 PM
What is 144 minutes before 5:43 AM?
3:19 AM
How many minutes are there between 6:13 AM and 5:59 PM?
706
How many minutes are there between 8:00 PM and 4:50 AM?
530
What is 25 minutes before 12:43 PM?
12:18 PM
How many minutes are there between 5:35 PM and 12:29 AM?
414
What is 115 minutes before 11:08 AM?
9:13 AM
What is 445 minutes before 12:29 AM?
5:04 PM
What is 253 minutes after 4:13 AM?
8:26 AM
How many minutes are there between 8:23 AM and 5:03 PM?
520
What is 207 minutes after 10:31 PM?
1:58 AM
What is 466 minutes before 3:31 AM?
7:45 PM
How many minutes are there between 12:20 PM and 10:48 PM?
628
How many minutes are there between 10:54 AM and 2:45 PM?
231
What is 291 minutes before 2:32 PM?
9:41 AM
What is 71 minutes before 2:14 AM?
1:03 AM
How many minutes are there between 7:19 AM and 7:44 AM?
25
How many minutes are there between 12:19 PM and 9:09 PM?
530
How many minutes are there between 11:06 PM and 8:48 AM?
582
What is 458 minutes after 12:03 PM?
7:41 PM
How many minutes are there between 10:53 AM and 4:08 PM?
315
What is 689 minutes after 3:24 PM?
2:53 AM
How many minutes are there between 9:01 PM and 7:37 AM?
636
How many minutes are there between 1:00 PM and 6:32 PM?
332
What is 121 minutes before 12:24 AM?
10:23 PM
How many minutes are there between 2:16 PM and 3:19 PM?
63
What is 463 minutes after 6:43 AM?
2:26 PM
What is 680 minutes after 10:15 PM?
9:35 AM
What is 243 minutes after 6:38 PM?
10:41 PM
What is 429 minutes before 8:35 PM?
1:26 PM
How many minutes are there between 10:17 PM and 8:05 AM?
588
What is 102 minutes after 8:23 PM?
10:05 PM
How many minutes are there between 7:04 PM and 3:17 AM?
493
How many minutes are there between 11:14 AM and 10:23 PM?
669
How many minutes are there between 8:47 PM and 7:21 AM?
634
What is 254 minutes before 10:21 AM?
6:07 AM
How many minutes are there between 7:35 AM and 8:14 AM?
39
How many minutes are there between 5:00 AM and 10:44 AM?
344
How many minutes are there between 12:22 PM and 2:04 PM?
102
What is 345 minutes after 4:03 AM?
9:48 AM
What is 107 minutes after 1:41 AM?
3:28 AM
What is 688 minutes before 9:59 PM?
10:31 AM
How many minutes are there between 4:54 AM and 3:10 PM?
616
How many minutes are there between 6:01 PM and 6:57 PM?
56
How many minutes are there between 4:13 AM and 6:47 AM?
154
What is 448 minutes after 3:49 AM?
11:17 AM
How many minutes are there between 8:29 AM and 7:34 PM?
665
What is 166 minutes after 10:48 PM?
1:34 AM
What is 235 minutes before 3:53 AM?
11:58 PM
What is 535 minutes before 3:10 AM?
6:15 PM
How many minutes are there between 4:23 PM and 7:16 PM?
173
What is 625 minutes before 8:32 AM?
10:07 PM
How many minutes are there between 3:58 AM and 10:04 AM?
366
How many minutes are there between 6:44 PM and 6:04 AM?
680
What is 111 minutes after 10:09 PM?
12:00 AM
What is 33 minutes after 4:14 AM?
4:47 AM
How many minutes are there between 4:02 PM and 3:04 AM?
662
How many minutes are there between 10:00 PM and 2:09 AM?
249
What is 328 minutes before 1:45 PM?
8:17 AM
What is 663 minutes before 9:51 AM?
10:48 PM
How many minutes are there between 1:47 PM and 2:36 PM?
49
How many minutes are there between 7:19 AM and 10:14 AM?
175
What is 236 minutes after 3:29 AM?
7:25 AM
How many minutes are there between 1:54 PM and 1:36 AM?
702
How many minutes are there between 2:54 AM and 10:28 AM
|
{
"pile_set_name": "DM Mathematics"
}
|
v be 12/10*2/4*3000/90. Let h(f) = f**2 - 16*f - 87. Calculate h(v).
-7
Let k(n) = -2*n**2 - 8*n - 9. Let x = 4204 - 4211. Give k(x).
-51
Let x(o) = -91*o - 90*o - 164*o + 202 + 279*o. What is x(3)?
4
Let q(v) = 5*v**2 - 3*v + 5. Let i be (-184)/44 - 4/(-22). Let m(n) = 3*n**2 - n + 2. Let p(h) = i*q(h) + 7*m(h). Let z be (-4 - -1)/1*2. Determine p(z).
0
Let x(o) = o**2 - 10*o - 27. Let z be 1 + (-37)/((-37)/12). Calculate x(z).
12
Let b(t) = -t**3 + 6*t**2 - 8*t + 7. Let z be b(4). Let c = 26 - 19. Let s(j) = -41*j**3 + 4*j**2 - 1 + 40*j**3 - c*j + 4*j**2. What is s(z)?
-1
Let j(w) = -w - 1. Let s be j(-8). Suppose -t - 3*i = -s, 4*i + 0*i - 9 = -t. Let v(m) = 9*m - 273*m**2 + 272*m**2 - t - m. What is v(4)?
15
Let g(f) = -6*f**2 - 15*f - 1. Let h(u) = 47*u**2 + 128*u + 7. Let z(k) = 17*g(k) + 2*h(k). What is z(-2)?
-37
Let b(r) = -r**3 + 4*r**2 + 8*r - 6. Let a be (20/(-12))/((-50)/180). Calculate b(a).
-30
Let l(b) = -2*b**3 - 15*b**2 - 2*b - 12. Let h be 16/(-25 + (23 - 0)). Calculate l(h).
68
Let q(x) be the first derivative of x**3/3 + x**2/2 - 45*x - 58. Let r be q(6). Let z(w) be the third derivative of -w**4/4 - 2*w**3/3 + 2*w**2. What is z(r)?
14
Let g(f) = -47*f + 136. Let l be g(3). Let n(x) = x**3 + 6*x**2 + 7*x + 11. Calculate n(l).
1
Let z(i) = -i**3 - 18*i**2 - 13*i + 58. Let u(x) = -78*x + 3883. Let l be u(50). What is z(l)?
-10
Let d(s) = s**2 + s. Let u(x) = 7*x**2 + 13*x + 5. Let l(a) = 6*d(a) - u(a). Let y = 33986 + -33993. What is l(y)?
-5
Let t be 2/4 - 9/(-6). Let y(d) = 5*d - 5*d**t + 1 + 0*d**3 - 8 - d**2 + d**3. Let j(z) = -113*z + 909. Let o be j(8). Calculate y(o).
-7
Let g(u) = 1020833*u + 1 - 1020832*u + 49*u**2 - 1. Calculate g(-1).
48
Let r = -9943 - -9948. Let i(x) be the second derivative of -25*x + 0*x**3 + 0 + 0*x**4 + 11/20*x**r - 1/2*x**2. Determine i(1).
10
Let k be 3/(-2)*290/(-87). Let t(m) = 5*m - 26. Let g be t(k). Let y(h) = -11*h + 1. Determine y(g).
12
Suppose 21*d + 12*d + 12*d = -33*d. Let g(c) = -3*c**3 + 8*c**2 + 5. Let h(x) = -2*x**3 + 5*x**2 + 3. Let t(i) = -5*g(i) + 8*h(i). Determine t(d).
-1
Let y(n) = -2*n - 1. Let r(q) = q**2 + 3*q. Let h be r(-4). Suppose 3*d + 3*z + z = 17, 49 = 3*d - 4*z. Let l be -4 + d - 1/2*h. Determine y(l).
-11
Let f be 2/6 - 8/(-3). Let j(r) = -r + 4 + 6*r - 4*r**2 - r**f - 2. Let z = -10007 + 10002. Determine j(z).
2
Let y = 7823 - 7850. Let k(n) = n**2 + 26*n - 23. Calculate k(y).
4
Suppose 4*u + 18*r - 21 = 15*r, 2*u + 2*r = 10. Let n(a) = -a**3 + 6*a**2 + 2*a - 7. What is n(u)?
5
Let a(i) be the third derivative of -i**6/120 - 13*i**5/60 - i**4/3 + 26*i**3/3 - 69*i**2 + i. Calculate a(-12).
4
Let p(h) be the third derivative of 0 + 1/8*h**4 - 1/30*h**5 - 2/3*h**3 + 226*h**2 + 0*h + 1/120*h**6. What is p(3)?
14
Let k(w) = -3*w + 166. Let y(a) = 5*a - 322. Let h(s) = -11*k(s) - 6*y(s). Give h(-33).
7
Let y = -8013 - -8013. Let s(x) = 3*x**3 - 2*x**3 + x**2 + 0*x**3 + 11 - 2 + 2*x. What is s(y)?
9
Let p(c) = -c**3 + 5*c**2 - 5*c + 4. Let y(v) = 3*v**2 - 10. Let u be y(-3). Suppose -12*r - u = -5. Let m be r + (-39)/(-8) + 9/72. Determine p(m).
0
Let i(j) = 8*j + 12. Suppose -38*f - 12 = 102. Give i(f).
-12
Suppose 4 = 2*s - 4. Let d(b) = -b**2 - 2*b - 19. Let h(x) = x**3 - 3*x**2 + 4*x + 43. Let z(n) = 2*d(n) + h(n). Give z(s).
-11
Suppose 0*p = 3*p + 3*o + 39, 0 = 5*p - 2*o + 58. Let j be (-2 - -1)/((27/p)/9). Suppose -2*a + j*d = 3*a - 3, 4*a - 9 = d. Let u(s) = -2*s + 4. Calculate u(a).
-2
Let j(t) = 97*t + 6. Suppose -200*r = 18 - 418. Give j(r).
200
Let v = -364 - -365. Let a(y) = -3 + 4 - 10*y + 0 + 12*y + v. Determine a(5).
12
Let l(k) = 12*k - 3. Let w(g) = -g**2 + 229*g + 1171. Let j be w(-5). Calculate l(j).
9
Suppose -4*y - 6 = -o, -2*o + 84 = 3*o - 2*y. Suppose -o*g = -31*g + 13. Let t(f) = -14*f. Calculate t(g).
-14
Suppose 141 - 13 = -16*u. Let h(y) = 5*y**2 + 2*y - 1. Let m(q) = 9*q**2 + 5*q - 1. Let v(b) = 7*h(b) - 4*m(b). What is v(u)?
-19
Let a(o) be the second derivative of 78*o + 0 + 1/2*o**2 + 2/3*o**3. What is a(-1)?
-3
Let d(i) = -4*i**3 + 12*i**2 + 2*i + 5. Let p = -468 - -469. Let q(o) = o**3 + 2*o**2 + 1. Let m(n) = p*d(n) - 6*q(n). Determine m(1).
-9
Let m(y) be the second derivative of -y**3/6 - 23*y**2 - 3769*y. Give m(-20).
-26
Let f(x) = 66 + 8 + 8*x - 80. Determine f(-5).
-46
Let h(f) be the second derivative of f**5/20 + 5*f**4/12 - 7*f**3/6 - 7*f**2/2 - 124*f. Let y be h(-6). Let z(g) = 10*g. What is z(y)?
-10
Let p(f) be the third derivative of f**8/20160 - f**7/280 + f**6/120 - f**5/20 + 5*f**3/6 + 45*f**2. Let x(y) be the third derivative of p(y). Determine x(18).
6
Let v(p) be the second derivative of 7*p**3/6 - p**2/2 - 11*p + 3. Calculate v(1).
6
Let v(f) be the second derivative of -7*f**4/3 + 5*f**3/6 - 2*f**2 + 50*f - 7. Calculate v(1).
-27
Let i(z) be the first derivative of -z**3/3 + z**2/2 - 20*z + 229. Let y be ((-12)/(-10))/(20/(-50)). Let v be ((-2 + 2)/y)/(-2). Give i(v).
-20
Suppose 5*x - 15 = -4*s, 0*x - x - 5*s = 18. Let i(d) = 7 - x + d - 10*d**3 + 16*d**3. Let l(g) = -2*g - 35. Let a be l(-18). What is i(a)?
7
Let z(w) = w**2 - 24*w + 29. Let h be (-4)/(-2) - (-56 - -43). Determine z(h).
-106
Let j(a) = 6*a - 5 - 4*a + 62959*a**2 - 62958*a**2. Determine j(-3).
-2
Suppose -11*z + 8 = -25. Suppose -s + 8*r + 2 = 10*r, 2*r - 6 = -z*s. Let h(u) = u**3 - u**2 - 4*u + 5. Give h(s).
1
Let f be 1/(-1) - -6 - 0. Let p(y) = 3 + y + 3*y - 4*y + f*y**2 + 4*y. Suppose 4*u + 8 = -0*u. Calculate p(u).
15
Let o(a) be the second derivative of -a**6/720 - a**5/60 - 3*a**4/2 - 9*a - 4. Let r(w) be the third derivative of o(w). Give r(6).
-8
Let b = 32111 - 32083. Let o(f) = -6*f**2 + 171*f - 78. What is o(b)?
6
Let d(z) be the first derivative of 11*z**2/2 - 106*z - 6766. What is d(9)?
-7
Let s(f) = -11*f - 11 + 6*f + f + 5*f. Let j = 223 - 212. Give s(j).
0
Let z(d) = 113*d - d**3 + 0*d**3 - 95*d - 58*d + 43*d**2 - 85. Let a be z(42). Let x(b) = 5*b**3 - b - 1. What is x(a)?
-5
Let b be ((-3)/(-6))/((-13)/(-676)). Suppose 64 - 12 = b*g. Let f(w) = 13*w + 2. Determine f(g).
28
Let n(y) be the third derivative of -y**5/60 + y**4/4 - y**3/6 - y**2. Let b = 2854 + -1647. Let s = 1210 - b. What is n(s)?
8
Let i(s) = s - 12. Let w(v) = 92*v + 117. Let u(c) = -2*i(c) - w(c). Determine u(-1).
1
Let x(w) be the first derivative of -w**3/3 + w**2/2 + 15*w - 88. Let g be 1 + 2/2 - (-8)/(-4). Calculate x(g).
15
Let f(b) be the first derivative of b**6/120 + 3*b**5/20 - 5*b**4/12 - 5*b**3/6 + 2*b**2 + 2*b - 9. Let g(c) be the second derivative of f(c). Give g(-10).
-5
Let v(d) = -d**2 - 11*d - 8. Let c(h) = -h - 10 - 2 + 16 + 10. Let i(x) = 6*x**2 + x. Let w be i(-2). Let n be c(w). Calculate v(n).
16
Let v(s) = -3*s - s**3 - 4*s + 2*s - 4*s + 10*s - 4. Suppose -10 = -6*k + 4*k. Suppose -k*j - 3*z = -3*j, 0 = -5*z. Give v(j).
-4
Suppose 4 - 16 = 2*h - 0*h. Let s(k) = k**2 + 8*k - 6. Let n(w) = -3*w**2 - 25*w + 19. Let y(v) = -2*n(v) - 7*s(v). What is y(h)?
4
Let j = -5662 - -33973/6. Let w(c) be the second derivative of 1/20*c**5 + 0 - 4*c**2 + 2*c + 1/12*c**4 - j*c**3. Calculate w(0).
-8
Let l(q) be the third derivative of 0 + 0*q - 90*q**2 - 1/24*q**4 - 1/3*q**3. What is l(-5)?
3
Let u be (67/2)/(7 - 91/14). Suppose -u*p = -62*p - 45. Let q(l) = -l**2 + 10*l - 8. What is q(p)?
1
Let s(j) = -j**3 - 13*j**2 - 24*j - 14. Let x be 1 + -23 - (-79 + 68). Calculate s(x).
8
Suppose -2*n - 148 = -5*u - 134, 4*n - 4 = 2*u. Let f(i) = -i**3 + i**2 + 8*i - 4. Give f(u).
-20
Let d(u) = u. Let k(g) = -3 + 158*g**2 + 94*g - 203*g**2 - g**3 - 1 + 2. Let v be k(-47). Give d(v).
-2
Let a be (0 - -1) + (2 + -14 - -7). Let m(y) be the first derivative of -2 - 1 - 9*y + 2*y**2 + 8*y. Give m(a).
-17
Let g = 1845 - 1861. Let t(c) = -6*c - 77. Calculate t(g).
19
Let o(d) = 3*d**2 + 35*d + 106. Let x(i) = i**3 + 9*i**2 - 117*i - 86. Let s be x(-16). What is o(s)?
4
Suppose -208 + 200 = -4*n. Let m be -1 - (-2 + 0)*n. Let p(o) = -2*o**2 - 4*o + 2. What is p(m)?
-28
Let x(g) = 66*g - 267*g + 59*g + 19 + 74*g + 67*g. Give x(19).
0
Let u(v) = -v**3 - 3*v**2 + 6*v + 4. Let w(f) = 8*f - 50. Let d be w(8). Suppose b = -16 + d, p + b = -7. Determine u(p).
24
Let y be 13/(26/(-4)) - (-12)/(-1 + 5). Let b(p) = -64*p. What is b(y)?
-64
Let j(s) = s**3 + 4*s**2 - 6*
|
{
"pile_set_name": "DM Mathematics"
}
|
e 5*b + 3*c - 524 = 0, -2*c + 521 = 2*b + 3*b. What is the units digit of b?
3
Let c(q) be the third derivative of -q**4/12 - 2*q**3/3 + 3*q**2. What is the tens digit of c(-8)?
1
Suppose -5*f = 4*p + 118, f + 13 = 2*p - 19. Let x = f - -54. What is the tens digit of x?
2
Let k = -5 + 2. Let o be 1 - (4 - 3/k). Let n(p) = -4*p - 2. What is the tens digit of n(o)?
1
Let t = 217 + -126. What is the tens digit of t?
9
Let q(u) = 19*u - 1. Let f be q(-1). Let p be (-8)/10*f/8. Suppose -64 = -2*k - p*k. What is the tens digit of k?
1
Let k be 1/1 + -2 + 1. Suppose 3*r - 5*a = -3*a + 9, k = 3*r + 2*a - 9. What is the units digit of r?
3
Let d = -72 - -130. What is the tens digit of d?
5
Let b = 15 - 10. Suppose -b*y = -3*r + 8, 3*r - 4 - 1 = 2*y. Let l = r + 7. What is the units digit of l?
8
Let t be 2/(-8)*2*-4. Suppose -6*q + t*q = -48. What is the units digit of q?
2
Suppose -3*a - 6*a = -2691. What is the hundreds digit of a?
2
Suppose 2*m + 27 = 3*m. What is the tens digit of m?
2
Let f(c) = 1 + c**3 + 14 + 18*c**2 + 0 - 11*c + 2*c**3. Let u(r) = -r**3 - 6*r**2 + 4*r - 5. Let l(q) = -6*f(q) - 17*u(q). What is the units digit of l(-6)?
7
Let l = 154 + -84. What is the tens digit of l?
7
What is the tens digit of 2 + 2 + (104 - -1)?
0
Let d = 3 - 9. Let s = 0 - d. What is the units digit of 1 + 8 + s + -4?
1
Let c(o) = -o**2 - 34*o - 45. What is the units digit of c(-19)?
0
Suppose 3*l + 4*p = 130, -l - p = -26 - 16. What is the tens digit of l?
3
Let t = 9 - 0. Let b be 38*3/t*3. What is the units digit of b/6 - (-1)/(-3)?
6
Let p be ((-3)/9)/((-2)/6). Let n = 11 + p. What is the units digit of n?
2
Let g = -48 + 61. What is the units digit of g?
3
Let k(m) = m**2 + 4*m - 16. Let r be k(-7). Suppose 3*g = 4*w + 89, -r*w = g - 22 - 14. What is the units digit of g?
1
Let c = -2 + 2. Suppose c = 2*f + 4 - 20. What is the units digit of f?
8
Suppose 4*u + 3*i - 30 = 0, 2*u = 3*i + 1 + 5. Let y be -1*(-1 + -3) + 1. Suppose -u = -y*v + 4. What is the units digit of v?
2
Suppose f - 12 = -0*f. What is the units digit of f?
2
Let r(f) = 23*f**2 - f - 4. Let x be r(4). Suppose -x = -5*o - 0*o. Suppose 4*h = -16 + o. What is the units digit of h?
4
Let o be -2 - 3 - (2 - 2). Let p(x) = -5*x**2 + 5*x + 6. Let t(y) = 4*y**2 - 5*y - 6. Let q(l) = o*p(l) - 6*t(l). What is the units digit of q(-5)?
6
Let l(m) = m**3 - 6*m**2 + 5*m. Let x be l(5). Suppose x*j + 4*j = 84. What is the tens digit of j?
2
Let m(n) = n**2 + 5*n + 10. What is the units digit of m(-5)?
0
Let z = 63 - 31. What is the tens digit of z?
3
Suppose -4*i + 0*v - 28 = -v, 2 = -i - v. Let w(h) = 8 + h + h**2 + 0*h + 5*h. What is the units digit of w(i)?
8
Suppose 3*l - 12 + 3 = 0. Suppose l*z = -0*z + 12. What is the units digit of z/(-18) - (-235)/45?
5
Let f(w) = -w - 2. Let v be f(-5). Suppose v*t - 6*t = -45. What is the units digit of t?
5
Suppose -4*z = -5*i - 3, -3*z = -3*i + z + 3. Let r = -9 + 3. Let g = i - r. What is the units digit of g?
3
Let y be 8/2*(-3 + 8). Let j = -8 + y. Suppose -h = -3*h + j. What is the units digit of h?
6
Suppose 2*v - 90 = o, -2*o = -2*v - 3*o + 94. What is the units digit of v?
6
Let t be -2 + 2 + (0 - -5). Suppose t*u + 21 = 76. What is the tens digit of u?
1
Let c(l) = -56*l**3 - l**2 + l. Let g be c(1). What is the units digit of (g/7)/((-2)/1)?
4
Let u(c) = c**3 - 6*c**2 + 8*c - 2. Let m(d) = -2*d**3 + 12*d**2 - 17*d + 4. Let a(n) = 4*m(n) + 9*u(n). What is the tens digit of a(6)?
2
Let g = 2 - -9. Let p = -6 + g. Suppose p*u = u - b, -5*u - b = -1. What is the units digit of u?
1
Let d be 9/36 + (-213)/4. Let q = -38 - d. What is the units digit of q?
5
Let q(p) = 4*p**2 - 6*p - 6. Let b be q(-3). Suppose -89 = -4*m + h - 0*h, 3*h - b = -3*m. What is the units digit of m?
1
Let t be 3 - ((-4)/(-2) + -2). Let o be 3/(-3*t)*-9. Suppose -3*j + 9 = 2*r, o*j + 3*r = 1 + 8. What is the units digit of j?
3
What is the units digit of 4/14 + (-80)/(-14)?
6
Let l(k) = k - 5. Let d be l(6). Let u = 21 - d. What is the units digit of u?
0
What is the hundreds digit of ((-4212)/270)/(-1 - 34/(-40))?
1
Suppose 5*f = -4*h + 92, -h + 0*f - 2 = -5*f. Let u = 16 + h. What is the units digit of u?
4
Let n(m) = m**3 - 8*m**2 - 2*m + 9. Let r be n(6). What is the units digit of r/(-3) - (0 - -2)?
3
Suppose -3*q + 206 = -l + 5*l, 5*l = -5*q + 260. Let h be (-10)/(-45) + l/18. Suppose -52 = -4*g + 4*d, -h*g = d - 15 - 16. What is the tens digit of g?
1
Suppose 1 + 2 = -5*m + 2*b, 2*b + 4 = -2*m. Let w be (-1 + 3)/m - -7. Suppose -30 = 2*g - w*g. What is the units digit of g?
0
Let o(l) = -l**2 + 8*l + 8. Let d be o(9). What is the tens digit of 4/((6/(-27))/d)?
1
Let v(a) = 2*a - 1. Let b be v(-3). Let j(w) = -w**2 - 7*w + 5. Let g be j(b). Let z = -3 + g. What is the units digit of z?
2
Let u be 4/(-7)*(-98)/28. Suppose 3*l = u*l + 41. What is the units digit of l?
1
Suppose 7*u + 24 = 4*u. Let x be (u/5)/((-6)/15). Let b = x - 2. What is the units digit of b?
2
Let v(p) = -p**3 + 4*p**2 - 2*p - 1. Let a be v(2). Let b(l) = 6 - l + 5*l - a*l. What is the units digit of b(0)?
6
Let c(i) = i**2 - 1. Let y be c(-1). Suppose y*x + 52 = 4*x. What is the units digit of x?
3
Suppose -h - 4 = h. Let n be -1*(-21 - h) - 1. Suppose 2*r - 52 = 5*y, -2*y = -2*r + n + 22. What is the units digit of r?
6
Suppose -4*h + 14 = 110. Let o be 18/h*(4 - 0). Let k = o - -6. What is the units digit of k?
3
Suppose i - 3*i - 12 = -2*b, 0 = 3*b - 4*i - 16. What is the units digit of b?
8
Let g = 11 - 6. Suppose -3*y - g = -4*y. Let s(n) = n - 3. What is the units digit of s(y)?
2
Let u(c) = 35*c - 14. What is the tens digit of u(4)?
2
Let v(j) = -17*j**2 + j + 1. Let w be -6*(-2 - (-1 + 0)). Let s(f) = 33*f**2 - 2*f - 2. Let p(t) = w*s(t) + 11*v(t). What is the units digit of p(-1)?
1
Suppose 2*w = 5*w + 3*a, 5*w = -a. Let j = 21 + -16. Suppose j*k - 42 - 13 = w. What is the tens digit of k?
1
What is the units digit of 6/4 + (-858)/(-4) + 1?
7
What is the units digit of 8 + (1 + 0 - 3) + -1?
5
Let w = 93 + -20. What is the tens digit of w?
7
Let n(k) = k**3 - 13*k**2 + 13*k - 13. Let i be n(12). Let u(f) be the second derivative of -f**5/10 - f**4/12 + f**2/2 + f. What is the units digit of u(i)?
2
Let y = -4 - -7. Let f(o) = -o + 2. Let z be f(0). Suppose -4*m = -4*j + 28, -5*j - 4*m + z - y = 0. What is the units digit of j?
3
Let w(r) = -r**3 + 6*r**2 - 7*r. Let m be w(5). Let v = -6 - m. Suppose -v*c + 40 = c. What is the units digit of c?
8
Let j(c) = c**2 + 7*c + 2. Suppose 4*k + k = -40. What is the units digit of j(k)?
0
Suppose 2*f = -f + 96. Suppose 4*z = 5*a + f + 5, -5*a = -5*z + 50. What is the units digit of z?
3
What is the units digit of 2/(1 - 58/62)?
1
Let d(w) be the first derivative of -w**5/60 + w**4/12 + w**3/3 - 1. Let y(m) be the third derivative of d(m). What is the tens digit of y(-4)?
1
Let z(a) = -a**3 - 3*a**2 + 2*a + 6. Let n(t) = t + 6. Let y be n(-10). Let v be z(y). What is the units digit of 3*(-2 - v/(-6))?
1
Let m(s) = -s**2 + 10*s - 6. Let t be m(9). What is the units digit of (t - 5)*14/(-4)?
7
Let t(a) = 5*a**2 + 2. What is the tens digit of t(2)?
2
What is the units digit of (-1)/(0 - (-2)/(-64))?
2
Let u be 0 + (-2 - (0 + -1)). Suppose 0 = -4*m - y + 21, 2*m = 3*m - 5*y + 21. Let q = m - u. What is the units digit of q?
5
Let o = 117 + 2. What is the units digit of o?
9
Let w(o) = o**2 + 2*o - 11. Let k be w(-8). Suppose -5*t + 4*t + k = 0. What is the tens digit of t?
3
Let y = -45 - -102. What is the units digit of y?
7
Let q be (-12)/(21/(-6) + 2). Suppose -q = -4*d + 5*d. Let k(l) = l**3 + 9*l**2 + 7*l + 3. What is the units digit of k(d)?
1
Let t = 9 + -6. What is the tens digit of (1/t)/(6/234)?
1
Suppose 20 = -2*j - 2*k, j = 3*k + 5 + 1. What is the units digit of 90/12 - 3/j?
8
Let h be (-2*2)/(2/(-10)). What is the tens digit of h - (-3 + 2/(-2))?
2
Let o be 3 + 0 + -6 + -19. Let k = -4 - o. What is the units digit of k?
8
Suppose 74 = 5*j + 2*n, j + 0*j + 2*n = 18. Suppose 0 = -4*r - 3*a - 27, -2*a + 8 - 3 = -5*r. Let o = r + j. What is the units digit of o?
1
Let k be (1 + 58 - 2)/1. Suppose k - 5 = 4*u - 4*p, 5*p - 31 = -u. What is the tens digit of u?
1
Let d = 31 - 3. What is the units digit of d?
8
What is the tens digit of (-1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
*t + 10*t + 15 = b for t.
-5
Let i = -568 + 576. Suppose -q - i = -c - c, c = q + 4. Solve 8*u + 24 = -q*u for u.
-3
Suppose -2*w + 1 - 7 = 0. Let c be 28/(-3 - -7) + w. Let n be (9/5 - -1)*5. Solve n + 6 = -c*x for x.
-5
Let f = 25 - 31. Let t be (-14)/(-4)*(f - 0). Let g = t + 21. Solve g = b - 4*b for b.
0
Let d be (-1 - 32)/(6 + (-60)/8). Solve d = 22*s - 44 for s.
3
Let m be (-4 + 40)*(-14)/(-28). Solve -m*w = 31*w + 196 for w.
-4
Suppose 5*k + 2 = 3*k + 3*g, 16 = 5*k + 3*g. Let i(h) = 22*h**3 - 14*h**3 - 1 - 10*h**3 + 5*h**k. Let n be i(2). Solve -o - n*o = -20 for o.
5
Let g be ((-6)/(-69))/1 - (-14 + (-146682)/667). Solve -241*r + g*r - 14 = 0 for r.
-2
Suppose -63*a = 51*a - 91*a - 851. Solve a - 92 = 11*u for u.
-5
Let x be (2/(-1 + -1)*0)/2. Solve x = -q + 12 - 17 for q.
-5
Let n = 19 - 14. Suppose 0 = -3*t + n*t - 10. Solve 3*m - 10 = t for m.
5
Let c be -7 - -13 - 1 - 46. Let t = 45 + c. Solve x = -t*x - 25 for x.
-5
Suppose v - 5 = -4*v, 13 = i + v. Suppose -f + 18 = i. Solve s + 1 = f for s.
5
Let i(o) = -67 - 20*o + 12*o + o**3 - 100 - 20*o**2 + 14*o + 53. Let l be i(20). Solve -2*r + 16 = l for r.
5
Suppose 389 = -29*l + 28*l. Let w = 394 + l. Solve -w*z + 2*z = 15 for z.
-5
Suppose 2*i + 3*v - 1 - 8 = 0, 3*i = -2*v + 6. Suppose -2*b - 2*b + 64 = i. Suppose b + 12 = 7*z. Solve -20 = -z*j - 4 for j.
4
Let v(t) = 8*t**2 + 123*t + 265. Let r be v(-13). Solve -r*y = -83 + 65 for y.
1
Let d = -18313 - -18626. Solve -300*r = -d*r + 52 for r.
4
Let m be (6/4)/(566/9056). Suppose -2*n = -17 + 1. Solve -n*g - 8 = m for g.
-4
Let c(p) = 138*p**3 + 24*p**2 - 27*p + 2. Let r be c(1). Solve 0 = -32*g - 361 + r for g.
-7
Suppose 0 = 12*o - 4 - 32. Suppose -j - j + 72 = 0. Suppose -o*y - j = -6*y. Solve 0 = -5*c + 2 - y for c.
-2
Let a = -837 + 456. Let r = 389 + a. Solve -r = -2*q - 4 for q.
2
Let a(r) = r**2 + 3*r - 14. Let w be a(-6). Suppose 6 = -2*f - 3*g, 0 = 3*f - g - w - 9. Let z be (-4 - -4) + f + 0. Solve z = -4*l - 5 for l.
-2
Suppose 0 = 6*i - 7*i - 4*y + 23, -2*y + 8 = 0. Let j be (2/6)/((i/72)/7). Solve 18*l - 6*l = -j for l.
-2
Let i = -92 - -114. Let j = 26 - i. Solve 0 = -5*t + 4*t + j for t.
4
Let n = -27548 - -27724. Solve -197*l + n = -175*l for l.
8
Suppose 0 = 66*v - 70*v - 4. Let x(m) = 12*m + 23. Let p be x(v). Solve 7*r - p*r = 4 for r.
-1
Suppose 0 = -0*k + 15*k + 3015. Let s = -201 - k. Solve 5*v - 16 + 6 = s for v.
2
Let o = -2170 + 2179. Solve o = -14*h + 23*h for h.
1
Let u(c) = 3*c + 5. Let j be u(-4). Let w = j - -11. Let k = w - 2. Solve -k*g = 3*g - 5 for g.
1
Let c(t) = -t**2 + 7*t. Let w be c(7). Let r = -2207 + 2212. Solve w*m = -m + r*m for m.
0
Let x = 2781 - 2754. Solve -33*c + x = -24*c for c.
3
Let z(m) = -m**3 - 19*m**2 + 41*m - 3. Let j be z(-21). Solve j = -15*o + 93 for o.
5
Let d = -33 + 37. Let b be -1*(d - 20/5). Suppose -1 = -5*o - a, 3*o = 4*a - b*a + 19. Solve -5*k = -o - 4 for k.
1
Let m(p) = 18*p + 478. Let b be m(-26). Solve -b*u - 17 = 13 for u.
-3
Suppose 5*s = -i + 92, -55*s + 51*s + 3*i + 66 = 0. Solve -13*k + 8 = -s for k.
2
Let b(t) = 3*t**2 - 88*t + 112. Let v be b(28). Solve v = 91*k - 88*k + 12 for k.
-4
Let j = -377 - -385. Let o(r) = 9*r - 63. Let k be o(j). Solve 25*t + k = 22*t for t.
-3
Suppose 0 = 2*u - 5*u, -4*u = 3*n - 45. Suppose 0 = -44*q + 47*q + n. Let f be q/5 + 4 - 3. Solve f = -4*s - 5 + 1 for s.
-1
Suppose -10*x + 12*x - 18*l + 12*l - 24 = 0, 0 = 4*l. Let q(h) = -21*h - 2. Let p be q(-2). Solve -4*k + p = -x*k for k.
-5
Let g(l) = l - 1. Let m be 25/(-7) - (-6)/(-14). Let k be g(m). Let j(a) = -a**3 - 6*a**2 - 5*a + 9. Let i be j(k). Solve -4*z + 11 + i = 0 for z.
5
Let u be 18*8/(-5)*(-18 - 279/(-18)). Solve -13*x = -x - u for x.
6
Suppose -5320 + 18214 = -14*o. Let c = -921 - o. Solve c = -8*v - 7*v - 60 for v.
-4
Let o be (-161)/46*78/(-91). Let k(b) = b. Let g be k(-4). Let t(p) = p**3 + 4*p**2 - p + 1. Let x be t(g). Solve 0 = -o*f + x*f - 8 for f.
4
Let d = -20 + 106. Suppose 82*w - 76 = d*w. Let o = w - -24. Solve 0 = 4*l - o + 1 for l.
1
Let l be -1*(-1 + 2) - 8/4. Let j be (-2 - -8)/((-6)/l). Solve 0 = x - j + 3 for x.
0
Suppose -2*a = -118*k + 119*k - 4668, 4632 = 2*a - 5*k. Solve 9*s = 2358 - a for s.
3
Let o(w) = -w**2 - 14*w - 1. Let d be o(-10). Let l = d + -37. Suppose 0 - 2 = -h, 5*h = 2*b + l. Solve 5*v - b*v - 2 = 0 for v.
2
Let z be (1 - 21/28)*-44. Let o be (-23)/z - 25/275. Solve -6 = -o*s + 2 for s.
4
Let q be -4*((0 - (10 - 4)) + 7) + 184. Solve 182*m - 12 = q*m for m.
6
Suppose -l - 5*y + 864 = 809, 5*y = 3*l - 45. Let c = -1 + 5. Solve a = -c*a + l for a.
5
Let n be (-15)/(-4) - 15/20. Suppose -n*v - 40 = -2*l, -5*l = 2*v + 2*v - 54. Let q(c) = -c**2 + 14*c + 5. Let t be q(l). Solve -t*z - 2 = -6*z for z.
2
Let n(i) = i**2 - 273*i - 2228. Let m be n(-8). Solve 26*h + m = -188 for h.
-8
Suppose v - 215 = -3*j, j = 169*v - 170*v + 69. Solve j*l = 542 - 104 for l.
6
Let s(m) = m**2 - 3. Let i be s(3). Suppose -2*b + 4 = 4*a - 0*a, -3*a + 3*b = i. Suppose 9*q - 3*r - 57 = 0, 10*r - 9*r = 2*q - 14. Solve a*l + q = -5*l for l.
-1
Suppose 0 = 5*c - 15*y - 50, 0 = -2*c + y - 55 + 95. Solve c*v = -46*v + 68 for v.
1
Let p = 94 - 84. Suppose -5*r + 25 = p. Solve -16 + 1 = r*a for a.
-5
Let z(h) = 4*h - 3*h + 56 - 3*h - 18. Let b be z(18). Solve b*y = 8*y for y.
0
Suppose 3*b + 14*s = 11*s - 9, -2*s = -b + 6. Solve 113*u - 121*u = b for u.
0
Let f(d) = -d**3 + 6*d**2 - 5*d + 5. Let n be f(5). Suppose 2*g + 1 = -0*g - n*m, g - 4 = 2*m. Let t = -1964 + 1972. Solve -2*k + t = g for k.
3
Let b(f) = -531*f - 936. Let i be b(-2). Solve -i*y = -115*y + 88 for y.
-8
Suppose -58*r + 2105 = -1955. Solve -61*d = r - 497 for d.
7
Let c = 19865 + -19865. Solve 228*t - 206*t - 44 = c for t.
2
Let k be -908*((-21)/(-6))/(-7). Let s = -438 + k. Solve 3*r = s - 7 for r.
3
Let y be (-149)/5 + (-16)/(-20). Let c be (y/(-1) + -5)*18/(-8). Let m = 56 + c. Solve m*v = -0*v - 8 for v.
-4
Let c be ((-25)/(-5) + -1)/(-1). Let f be (c*3/2)/(-2). Solve -22 + 13 = f*p for p.
-3
Suppose 3*t + 16 = -3*j - 17, -16 = 2*t + 4*j. Let f = -40 - t. Let n = -24 - f. Solve 5 - n = -b for b.
-3
Let p = 19 - 6. Let x(w) = 9 + p*w + 14*w - 46*w + 16*w. Let g be x(3). Solve 1 = -j - g*j for j.
-1
Let k(v) = -10*v - 10. Let z be k(-6). Let d be (-11)/(-2) + 25/z. Solve -d*j = -0*j - 30 for j.
5
Let c be 58/6 - 2/(-6). Suppose 32*n = 7 + 89. Suppose -3*u = -3*k + k + n, -u + c = 3*k. Solve 10 - 1 = k*j for j.
3
Let c be 19/(-38) - (-36)/8. Suppose c*t - 2*s + 4*s = 0, -4 = s. Solve t*i + 7 = -3 for i.
-5
Suppose 2*l = -3*j + 18, -6*l + 31 = 5*j - 3*l. Suppose 120 = -j*z + 32*z. Solve z*f - 8*f = 15 for f.
-5
Let u be ((-63)/42)/(1*6/(-16)). Suppose u*w - 71 + 111 = 0. Let k be w/30 + 31/3 + -2. Solve p + p + k = 0 for p.
-4
Let d be 595/3*(-276)/(-230). Solve d = 14*c + 280 for c.
-3
Let g be (-23 - -2)*1/(27/(-36)). Solve g*t - 5*t = -115 for t.
-5
Suppose 36 = 4*v - b, 5*v = -403*b + 405*b + 48. Let q(o) = -o**3 - 8*o**2 - 9*o - 7. Let p be q(-7). Solve -v*l = -p*l + 2 for l.
-2
Let g(b) = 32*b + 130. Let l be (3 + 5)/(-1 + (-2)/2). Let j be g(l). Solve -j*h + 1 + 3 = 0 for h.
2
Let j be (-1 + 15/2)*(389 - 357). Solve 2*q = -j + 200 for q.
-4
Let i be (55/(-22))/(2/(-8) - 1). Suppose i*p - 1 = 3. Solve -5 - 5 = -p*k for k.
5
Let o(p) = -272*p + 1360. Let r be o(5). Solve 20*l - 12 + 112 = r for l.
-5
Let y = -8386 + 8401. Solve 7*p - 24 = y*p for p.
-3
Suppose 2*x - 42 + 8 = -s, 4*s + 5*x = 118. Solve -26*z + 14*z = -s*z for z.
0
Let v(g) = -64*g + 74*g - 11 + 0 - g**2. Let r be v(8). Let d = 68 + -66. Solve l + r = d for l.
-3
Let g = 1198 - 1196. Solve -26*f = -g*f + 48 for f.
-2
Let w be 292 + ((-6)/(-8))/(10 - (-462)/(-48)). Solve -4*c + w = 318 for c.
-6
Suppose -26*p + 7*p = 0. Let d(u) = 8*u + 2. Let i be d(0). Solve -2 = i*a - p for a.
-1
Let f(q) = q**3 - 17*q**2 + 16*q + 44. Let p be f(16). Solve 0 = -p*z + 12*z + 160 for z.
5
Let l = -8587 + 8590. Solve -26*u - 23 = l for u.
-1
Let d be (-1)/(-7*6/(-1344)). Let w = -27 - d. Solve -8 + w = u for u.
-3
Suppose -o - 2*o = -2*o. Solve 4*s - 11 - 5 = o for s.
4
Suppose -8*i + 3*i = 0. Suppose -2*t + 0*p - 5*p = 1, i = 5*t + 4*p - 6. Let w = -2268 + 2273. Solve t*h + w = -3 for h.
-4
Suppose 25*q - 19*q = 1116. Suppose -q = -5*i -
|
{
"pile_set_name": "DM Mathematics"
}
|
t of 2304154?
2
What is the units digit of 12642966?
6
What is the hundreds digit of 5434658?
6
What is the ten thousands digit of 78632?
7
What is the tens digit of 8571?
7
What is the tens digit of 660622?
2
What is the hundreds digit of 15634105?
1
What is the hundreds digit of 3984719?
7
What is the thousands digit of 11358477?
8
What is the thousands digit of 107382?
7
What is the thousands digit of 1603355?
3
What is the millions digit of 6155898?
6
What is the units digit of 760134?
4
What is the ten thousands digit of 114272?
1
What is the thousands digit of 3112047?
2
What is the ten thousands digit of 543713?
4
What is the hundred thousands digit of 234218?
2
What is the hundreds digit of 4884183?
1
What is the ten thousands digit of 527397?
2
What is the tens digit of 462397?
9
What is the units digit of 718010?
0
What is the units digit of 31504?
4
What is the hundred thousands digit of 225524?
2
What is the hundreds digit of 321133?
1
What is the thousands digit of 16954798?
4
What is the hundreds digit of 2292383?
3
What is the hundred thousands digit of 147345?
1
What is the thousands digit of 114108?
4
What is the units digit of 1843632?
2
What is the thousands digit of 152586?
2
What is the hundred thousands digit of 12869507?
8
What is the units digit of 1463458?
8
What is the tens digit of 13622992?
9
What is the thousands digit of 30056?
0
What is the hundreds digit of 3060844?
8
What is the millions digit of 4495600?
4
What is the thousands digit of 30334612?
4
What is the ten thousands digit of 9706319?
0
What is the hundreds digit of 338441?
4
What is the units digit of 4415559?
9
What is the hundred thousands digit of 1689651?
6
What is the tens digit of 154738?
3
What is the hundreds digit of 343761?
7
What is the thousands digit of 9037166?
7
What is the tens digit of 69095?
9
What is the ten thousands digit of 1319611?
1
What is the tens digit of 422609?
0
What is the units digit of 307868?
8
What is the tens digit of 26578437?
3
What is the tens digit of 399355?
5
What is the thousands digit of 1598381?
8
What is the millions digit of 14856119?
4
What is the tens digit of 77917?
1
What is the millions digit of 1599741?
1
What is the thousands digit of 663863?
3
What is the millions digit of 2330436?
2
What is the tens digit of 1619255?
5
What is the ten thousands digit of 21993?
2
What is the units digit of 42036267?
7
What is the units digit of 759946?
6
What is the thousands digit of 791140?
1
What is the hundred thousands digit of 8808774?
8
What is the thousands digit of 142246?
2
What is the thousands digit of 13747948?
7
What is the thousands digit of 355979?
5
What is the hundreds digit of 8050832?
8
What is the hundred thousands digit of 33322778?
3
What is the units digit of 1542484?
4
What is the thousands digit of 2006561?
6
What is the tens digit of 724168?
6
What is the tens digit of 1161893?
9
What is the thousands digit of 4651330?
1
What is the tens digit of 464?
6
What is the millions digit of 21201226?
1
What is the ten thousands digit of 264961?
6
What is the units digit of 39437?
7
What is the millions digit of 11030552?
1
What is the thousands digit of 928911?
8
What is the hundred thousands digit of 15738453?
7
What is the tens digit of 1325145?
4
What is the thousands digit of 24610?
4
What is the hundreds digit of 6323917?
9
What is the ten thousands digit of 2401007?
0
What is the tens digit of 694488?
8
What is the tens digit of 205157?
5
What is the hundreds digit of 1309907?
9
What is the tens digit of 259254?
5
What is the units digit of 5682798?
8
What is the millions digit of 13542491?
3
What is the units digit of 11890544?
4
What is the millions digit of 1602304?
1
What is the hundreds digit of 5448518?
5
What is the ten thousands digit of 2848701?
4
What is the hundred thousands digit of 2033745?
0
What is the tens digit of 638599?
9
What is the ten thousands digit of 6966489?
6
What is the thousands digit of 2346385?
6
What is the ten thousands digit of 482855?
8
What is the ten thousands digit of 2593322?
9
What is the tens digit of 20156947?
4
What is the hundred thousands digit of 2517525?
5
What is the millions digit of 3265347?
3
What is the tens digit of 13655740?
4
What is the units digit of 72853?
3
What is the hundreds digit of 79777?
7
What is the tens digit of 804?
0
What is the hundred thousands digit of 2260525?
2
What is the units digit of 526633?
3
What is the hundreds digit of 515990?
9
What is the hundreds digit of 372935?
9
What is the millions digit of 3053912?
3
What is the hundreds digit of 324225?
2
What is the units digit of 3013159?
9
What is the units digit of 1711384?
4
What is the units digit of 1193764?
4
What is the tens digit of 82492?
9
What is the tens digit of 233279?
7
What is the millions digit of 2171534?
2
What is the thousands digit of 35964723?
4
What is the hundred thousands digit of 3981715?
9
What is the ten thousands digit of 60650?
6
What is the hundred thousands digit of 9967438?
9
What is the hundred thousands digit of 18148864?
1
What is the millions digit of 1082807?
1
What is the ten thousands digit of 906236?
0
What is the units digit of 28654?
4
What is the units digit of 1717524?
4
What is the units digit of 204162?
2
What is the millions digit of 1689790?
1
What is the ten thousands digit of 4850915?
5
What is the units digit of 370533?
3
What is the tens digit of 317919?
1
What is the ten thousands digit of 172373?
7
What is the tens digit of 71863?
6
What is the millions digit of 6829189?
6
What is the thousands digit of 379541?
9
What is the hundreds digit of 131869?
8
What is the units digit of 1888795?
5
What is the ten thousands digit of 369508?
6
What is the units digit of 111645?
5
What is the units digit of 150083?
3
What is the ten thousands digit of 6447944?
4
What is the thousands digit of 13655761?
5
What is the hundred thousands digit of 2920133?
9
What is the ten thousands digit of 774525?
7
What is the ten thousands digit of 234851?
3
What is the tens digit of 1771800?
0
What is the thousands digit of 5510754?
0
What is the thousands digit of 655972?
5
What is the thousands digit of 75372?
5
What is the tens digit of 612379?
7
What is the hundred thousands digit of 855212?
8
What is the hundred thousands digit of 16972641?
9
What is the ten thousands digit of 10256466?
5
What is the ten thousands digit of 4764121?
6
What is the units digit of 5109147?
7
What is the ten thousands digit of 17741216?
4
What is the units digit of 519218?
8
What is the thousands digit of 5278336?
8
What is the units digit of 3567861?
1
What is the ten millions digit of 18640763?
1
What is the ten thousands digit of 24777337?
7
What is the tens digit of 5680433?
3
What is the units digit of 2223647?
7
What is the tens digit of 5923885?
8
What is the ten thousands digit of 352667?
5
What is the hundreds digit of 2348330?
3
What is the tens digit of 210971?
7
What is the thousands digit of 293595?
3
What is the tens digit of 92253?
5
What is the ten thousands digit of 1598094?
9
What is the thousands digit of 327911?
7
What is the hundreds digit of 5211681?
6
What is the thousands digit of 264345?
4
What is the tens digit of 432920?
2
What is the tens digit of 1141383?
8
What is the thousands digit of 211255?
1
What is the hundred thousands digit of 505020?
5
What is the thousands digit of 7973267?
3
What is the thousands digit of 64491?
4
What is the thousands digit of 141052?
1
What is the ten millions digit of 28162821?
2
What is the units digit of 6841174?
4
What is the hundred thousands digit of 294455?
2
What is the ten thousands digit of 4291517?
9
What is the ten thousands digit of 3174878?
7
What is the thousands digit of 303169?
3
What is the hundred thousands digit of 102892?
1
What is the hundreds digit of 2019380?
3
What is the thousands digit of 392022?
2
What is the ten millions digit of 16050838?
1
What is the units digit of 833122?
2
What is the hundreds digit of 1053704?
7
What is the hundred thousands digit of 6142136?
1
What is the hundred thousands digit of 9113182?
1
What is the tens digit of 335334?
3
What is the hundreds digit of 816403?
4
What is the units digit of 3763103?
3
What is the hundred thousands digi
|
{
"pile_set_name": "DM Mathematics"
}
|
lue? (a) -6 (b) 16 (c) -125 (d) -4.01
a
What is the fourth biggest value in 5, 1.9, -0.76, 1/2, 9, -3, -1?
1/2
What is the fourth biggest value in -4, -1, 3, -14/3, 4/5, 5/6?
-1
Which is the biggest value? (a) -16 (b) 195 (c) -5 (d) -0.32
b
Which is the smallest value? (a) -2610 (b) 2 (c) 0.2 (d) 23/7 (e) 5 (f) 1/7
a
What is the third smallest value in -3/7, -237, -1.118, 1.1, -1/4?
-3/7
Which is the smallest value? (a) 60 (b) 15304 (c) -4 (d) 2/15
c
Which is the third biggest value? (a) 2/11 (b) -286 (c) -3 (d) -13
d
What is the sixth smallest value in -2/583, -0.1, -355, 7, 0.1, 5, -7?
5
Which is the smallest value? (a) 0.38 (b) 2.075 (c) -8
c
Which is the third biggest value? (a) 2/19 (b) 4 (c) 35.02 (d) -5 (e) -164
a
Which is the fifth biggest value? (a) -9 (b) -1/620 (c) 2/9 (d) -1 (e) 4 (f) 2
d
What is the biggest value in -22375/16, -0.2, 5?
5
Which is the fourth biggest value? (a) -2 (b) -4 (c) 0.4 (d) 13 (e) -3/19 (f) 6/11 (g) 200
c
What is the second biggest value in -115014, 4, -0.1, -0.4, 0.04?
0.04
What is the second biggest value in -10/39, 2/11, -2, -0.4, 2, 0.5, 2/5?
0.5
Which is the fourth smallest value? (a) 2/3 (b) 4 (c) 0.328108 (d) 2/113
b
What is the second smallest value in -6, -15.7, 9, -145?
-15.7
What is the fifth biggest value in -1.54, -2/25, 0, 0.3, 4, -0.1?
-0.1
What is the smallest value in 5, 0.192, 6, 144?
0.192
What is the fifth biggest value in -0.3, 1, -2, -5, -266, 190?
-5
Which is the fourth biggest value? (a) 0.3 (b) 53 (c) -750 (d) 0.037
c
Which is the second smallest value? (a) 0.4 (b) -2/17 (c) -3 (d) 427/6 (e) -26/25 (f) 0
e
Which is the fourth smallest value? (a) -5 (b) 7/6 (c) -4 (d) 9.8 (e) -0.2 (f) -4/5
e
Which is the second smallest value? (a) -64 (b) -2 (c) -1 (d) 0.1 (e) -2.62099
e
Which is the seventh smallest value? (a) 2 (b) 78/11 (c) -2 (d) 38 (e) 0.2 (f) -5 (g) -0.0069
d
Which is the fourth smallest value? (a) 1/7 (b) 0.3 (c) 4 (d) 12 (e) -19091 (f) -3
b
Which is the second smallest value? (a) -1 (b) 2275 (c) 0 (d) 4.61 (e) -2/19
e
What is the fourth biggest value in -3, 1, 4/21113, 0.1, 74?
4/21113
What is the fourth smallest value in -2, 7/158903, 2, 0?
2
Which is the smallest value? (a) -3 (b) 18714.6 (c) 1.7
a
Which is the third biggest value? (a) -17674 (b) -102.1 (c) -0.1
a
Which is the third biggest value? (a) -2/3 (b) 2 (c) 27 (d) -0.2001 (e) -167
d
What is the third biggest value in 5, 0.2, -1/4, -130, -21/146?
-21/146
What is the smallest value in 0.4, 2, 326313, 0.2?
0.2
What is the fifth smallest value in 0.3, 4, -0.4, 1/4, -1, 13, -40.2633?
0.3
Which is the fifth biggest value? (a) 1/4 (b) 0.4 (c) 11 (d) -51 (e) -3.26 (f) -7
f
Which is the fifth smallest value? (a) -2 (b) -68 (c) 0.7 (d) 2/7 (e) 0 (f) 36
c
What is the fifth biggest value in -46, 7, 0.74, -0.4, -3?
-46
Which is the biggest value? (a) -8613534 (b) 1 (c) 0.3
b
What is the fourth smallest value in -3, -4/3, -1.23, -9.3, -1/2?
-1.23
Which is the biggest value? (a) 3.8 (b) -11.5 (c) -3/7 (d) 35
d
What is the third biggest value in 0.04, -0.91, 25, 566?
0.04
What is the third smallest value in -3, 3/4, -5, 0.72732, 1/3?
1/3
What is the fourth smallest value in -1/2, -1/3, -0.9, 38/189?
38/189
Which is the biggest value? (a) 5/19 (b) 11 (c) 3 (d) 15.49 (e) 2/9
d
Which is the smallest value? (a) 2/5 (b) -2 (c) -2.6 (d) 44951
c
What is the fourth smallest value in 0.04, -1, -0.14, -0.5, 87, 0.5?
0.04
What is the third smallest value in -2, -0.8, -10732, 3?
-0.8
Which is the biggest value? (a) -125 (b) -0.1 (c) -3/7 (d) 6 (e) -1.6867
d
What is the third smallest value in -0.5, -28.7, -4484?
-0.5
Which is the biggest value? (a) -21.07 (b) 296 (c) 13
b
What is the third smallest value in -2, -5, 1/3, -32, -1101, -13, 0?
-13
Which is the third smallest value? (a) -2 (b) 5 (c) 98/25 (d) 258 (e) 0.2
c
What is the fourth biggest value in 69, 1/59, 3/44, -3, 3, -5?
1/59
What is the second biggest value in 0.3, 4, 8/33, 1/4, -3487?
0.3
Which is the smallest value? (a) -1 (b) 0.2 (c) -2 (d) -0.8069489
c
What is the fifth biggest value in -1/2, -3/11, -273, -24/65, 0?
-273
Which is the third smallest value? (a) 2/11 (b) -1 (c) -0.4 (d) 0.001652 (e) 1 (f) -5 (g) 10/9
c
What is the biggest value in 0.7, -2, 19297, 0.02?
19297
What is the smallest value in -3, -2/15, -1/5, -2, 0.2, -67762?
-67762
What is the sixth smallest value in 10726, 1, -0.3, -0.05, -1, 2?
10726
What is the seventh biggest value in 2828, 0.2, -2, -0.9, 3, 0.01, 0.4?
-2
Which is the second smallest value? (a) -34 (b) -16/7 (c) -0.55 (d) 2
b
Which is the fourth biggest value? (a) 9.8 (b) -135 (c) 5 (d) 1/3 (e) -2
e
What is the second biggest value in -1/3, 2/15, -12.54458?
-1/3
What is the second biggest value in -3, 5, -1/5, 50628, -6/5?
5
Which is the second smallest value? (a) 0.585 (b) -14 (c) 29 (d) 3/4
a
Which is the third biggest value? (a) -8713317 (b) 0.07 (c) 4
a
Which is the fifth biggest value? (a) -2/1841 (b) 1 (c) 2 (d) 0 (e) -0.5 (f) -0.07
f
Which is the fourth smallest value? (a) 8202 (b) 2 (c) 0.7 (d) -3/7 (e) -0.05 (f) -1/7
c
Which is the fifth smallest value? (a) 0.1 (b) 5/3 (c) 0.4 (d) 14 (e) -0.113
d
What is the smallest value in -54141692/7, 3, 2/3?
-54141692/7
Which is the second biggest value? (a) -5/12 (b) 0.6 (c) 5.5 (d) -15
b
What is the sixth biggest value in -1, 2, -4/3, -8712, 2/7, 3/8, 4?
-4/3
What is the fifth smallest value in -1/2, -4, -1, 365/2, 2, 1/151?
2
Which is the second smallest value? (a) 2/91 (b) -0.1 (c) 0.1 (d) -22.006 (e) 55 (f) -3/7
f
What is the smallest value in -0.3, -5, -1, 4, -94/13, 5, 253?
-94/13
Which is the smallest value? (a) 118919 (b) -1 (c) -56/3
c
Which is the second smallest value? (a) 12 (b) -59 (c) -2/5 (d) 0.3 (e) 0.7
c
What is the third smallest value in -407, -0.34, -88?
-0.34
What is the second smallest value in 484008, -2/5, -2/1719?
-2/1719
What is the second biggest value in -0.4, -1.998, -7.49?
-1.998
Which is the biggest value? (a) 1796 (b) -1 (c) -0.4 (d) 0.5 (e) 194 (f) 4 (g) 5
a
What is the third biggest value in -36756, -1/2, -0.4, 1/3, -1/6?
-0.4
What is the second smallest value in 2/3, -6, -0.1, -12, 65, 0.0723?
-6
Which is the third biggest value? (a) -1/11 (b) -3188/101 (c) 0.3
b
Which is the third smallest value? (a) 3/4 (b) 0.151 (c) 12120
c
What is the smallest value in 101, 0, 5, -19, 3/13, -15/7?
-19
What is the third smallest value in -108, -53/22, 4, 0.01?
0.01
Which is the biggest value? (a) 0.4 (b) 0.2 (c) 1.2465719 (d) 4
d
What is the third biggest value in 1, 4, 0.1047, 12/11?
1
What is the smallest value in 0.3, -3, -53, -275, 1, -1?
-275
What is the fourth smallest value in -0.1, -20534, -3/4, 0.2, 14?
0.2
Which is the second biggest value? (a) 37/3 (b) 1/4 (c) 73 (d) 12 (e) -39
a
Which is the fifth biggest value? (a) -0.18 (b) -1/6 (c) -4357961 (d) -0.2 (e) -3
c
Which is the second smallest value? (a) -1/6 (b) 6 (c) 2/849 (d) 4 (e) 4/9
c
Which is the second biggest value? (a) 242 (b) -5 (c) 3.2 (d) -199
c
Which is the third smallest value? (a) -16 (b) -172 (c) 1 (d) 82/11 (e) 5
c
What is the biggest value in 1/155, -3, -21556.2, 0.3?
0.3
What is the fourth smallest value in 11, -5, 36, 4117?
4117
Which is the second smallest value? (a) 1/2 (b) -1/1355443 (c) -2/13 (d) -4
c
Which is the second smallest value? (a) 2 (b) 0.26 (c) 0.4 (d) -281/6 (e) 2/27 (f) -5 (g) -2
f
What is the sixth smallest value in -6, -12, -8, 0.4, -3, 4?
4
Which is the fifth smallest value? (a) 2/13 (b) -395.08 (c) 0.02 (d) 5 (e) 2
d
Which is the third biggest value? (a) 1/2 (b) -0.05 (c) 76 (d) 17 (e) 2/9
a
What is the biggest value in -0.06, 0.34467, -2?
0.34467
Which is the third smallest value? (a) 2/59 (b) 56 (c) -11 (d) 2
d
Which is the fifth smallest value? (a) -0.1 (b) 8 (c) -0.058 (d) -1/96 (e) 82
e
Which is the third smallest value? (a) -5.055 (b) 7 (c) 0.04
b
What is the smallest value in -20, -2, 0.04428847?
-20
What is the biggest value in 1499, 3408, -0.09?
3408
What is the third biggest value in 31.9, 8, 2, -
|
{
"pile_set_name": "DM Mathematics"
}
|
of 3*m**2/2 + 8. Determine p(u(v)).
117*v**2
Let c(p) = -2*p**2. Let y(g) = 7*g**2 - 5*g - 5. Let m(z) = -132*z**2 + 96*z + 96. Let l(t) = -5*m(t) - 96*y(t). Calculate c(l(b)).
-288*b**4
Let q(y) = -y**2. Let o(k) = -14 + 14 - 3*k. What is q(o(w))?
-9*w**2
Let h(r) = -2*r**2. Let j(b) = -842*b**2. Give h(j(u)).
-1417928*u**4
Let h(p) = 117*p**2. Let y(u) = 4*u. Let r(i) = 7*i. Let s(j) = -3*r(j) + 5*y(j). Determine s(h(z)).
-117*z**2
Let n(t) be the third derivative of -23*t**4/24 + 13*t**2. Let z(d) = -2*d. Determine z(n(i)).
46*i
Suppose 4*q + 10 = 2*x - 14, 5*q = -4*x + 48. Let w(z) = -2*z**2 + 4*z + 4. Let a(v) = v + 1. Let g(i) = x*a(i) - 3*w(i). Let u(d) = -2*d**2. Determine g(u(p)).
24*p**4
Let n(h) = 2*h**2 - 227*h. Let f(d) = 27*d. What is n(f(z))?
1458*z**2 - 6129*z
Let a(d) = 2*d. Let b(w) = 11*w - 8. Calculate a(b(l)).
22*l - 16
Let q(p) = -8*p - 9 + 9. Let y(u) = -7*u. Let j be 1 - (0 + 0 - 5). Let g(l) = j*q(l) - 7*y(l). Let n(w) = -2*w. What is g(n(b))?
-2*b
Let r(x) = -4 + 4*x + 4. Let b(h) be the second derivative of h**4/12 - 2*h. Calculate r(b(p)).
4*p**2
Let v be (-3 - -8)*4/10. Let c(i) = i + 0*i - v*i. Let x(l) = -l + 8*l - 5*l. Determine c(x(z)).
-2*z
Let q(n) = -2*n. Let o(s) = -90*s**2 - 1. Give o(q(h)).
-360*h**2 - 1
Let y(m) = -496*m. Let x(s) = -2*s**2. Give x(y(u)).
-492032*u**2
Let l(q) = -q. Let b(o) = 13*o - 14*o + 11*o. What is l(b(p))?
-10*p
Let r(t) = -t**2. Let y be (21 - 0) + -8 + 7. Let n(w) = w**2 - y + 24*w**2 + 20. Calculate r(n(p)).
-625*p**4
Let i(m) = 7*m**2 - 5. Let p(o) = 3*o**2 - 2. Let f(x) = -2*i(x) + 5*p(x). Let y(r) = -12*r**2 + 28*r**2 - 14*r**2. Give y(f(l)).
2*l**4
Let i(t) = -t. Let f be 2/(-1)*-3 - 0. Let g(o) = 11 - 11 + f*o. Give i(g(z)).
-6*z
Let r(g) = g**2. Let z(j) = 10195*j**2. What is z(r(l))?
10195*l**4
Let d(l) = l**2 - 8*l + 11. Let r(p) = 6*p**2. Give d(r(t)).
36*t**4 - 48*t**2 + 11
Suppose 0 = -3*s + 3 + 3. Let o(u) = 7 - u**s - 7. Let a(j) = j. Determine o(a(y)).
-y**2
Let c(s) = -2*s**2. Let y(q) be the second derivative of -5*q**4/24 - 3*q**2/2 + 2*q. Let v(t) be the first derivative of y(t). Give v(c(h)).
10*h**2
Let z(v) = -5*v**2 + 773. Let t(m) = -2*m. Determine t(z(s)).
10*s**2 - 1546
Let y(f) = 3*f. Let w(c) = -105*c**2. Give w(y(m)).
-945*m**2
Let v(o) = -11*o - 6. Let q(l) = -44*l - 25. Let z(y) = -2*q(y) + 9*v(y). Let s(r) = -1. Let f(k) = 4*s(k) - z(k). Let n(w) = w**2. Calculate f(n(b)).
11*b**2
Let p(w) = -2*w**2. Suppose 4*h = 2*h. Let g(a) = -a**3 + a**2 + a + 2. Let x be g(h). Let k(q) = 2*q**2 + q**2 - 2*q**x. Give k(p(y)).
4*y**4
Let r(x) = 2*x**2. Let p(j) be the third derivative of 1/12*j**4 + 0*j**3 + 0 + 0*j - j**2. Give r(p(i)).
8*i**2
Let l(c) = 2*c. Let k(v) be the first derivative of -v**5/30 + 3*v**2 - 3. Let s(z) be the second derivative of k(z). Calculate s(l(p)).
-8*p**2
Let j(t) = 42*t**2. Let i(a) = 3*a. Give i(j(r)).
126*r**2
Let x(d) = 6*d. Let r(t) = -2*t. Let l(n) = 8*r(n) + 3*x(n). Let g(q) = -6*q**2. Calculate g(l(h)).
-24*h**2
Let c be ((-27)/(-1))/(-3) - -4. Let x(k) = 3*k**2 + 5*k + 5. Let a(q) = 2*q**2 + 4*q + 4. Let g(v) = c*a(v) + 4*x(v). Let i(s) = -5*s. Give g(i(h)).
50*h**2
Let y(w) = w. Let r = -4 - -10. Let i(d) = d**2 + 4*d**2 - r*d**2. What is i(y(m))?
-m**2
Let b(z) be the first derivative of 2*z**3/3 + 1. Let d(r) be the first derivative of -r**2/2 + 22. Calculate b(d(m)).
2*m**2
Let x(s) = -s. Let z(w) = -2*w + w + 0*w + 2*w. Give x(z(g)).
-g
Let i(c) = 12*c**2. Let z(q) = 4*q**2. Let b(a) = 6*i(a) - 21*z(a). Let t(u) = -5*u**2. What is b(t(d))?
-300*d**4
Let a(l) be the first derivative of -l**2/2 - 26. Let s(b) = 22*b**2. What is s(a(k))?
22*k**2
Let k(p) = 360*p**2. Let y(l) = 2*l. Calculate k(y(n)).
1440*n**2
Let y(w) be the first derivative of w**3 - 6. Let u(q) = 2 + 0 - 2 + 2*q**2. Calculate y(u(c)).
12*c**4
Let t(c) be the second derivative of c**3/3 + 14*c. Let b(y) = 2*y - 4*y + 3*y. Determine b(t(s)).
2*s
Let z(y) = -10*y**2 - 7*y. Let b(f) = -5*f**2 - 3*f. Let h(w) = 7*b(w) - 3*z(w). Let n(p) = 0*p + 0*p - 2*p**2. What is h(n(t))?
-20*t**4
Let w(x) = -2*x. Let b(t) = -4*t + 2. Let u(s) = 1. Let d(h) = 17*h - 14. Let l(n) = d(n) + 5*u(n). Let v(p) = 18*b(p) + 4*l(p). Calculate w(v(o)).
8*o
Let t(o) = -2*o. Let n(h) = -5*h**2 + 3. Let z(b) = -10*b**2 + 7. Let x(c) = -7*n(c) + 3*z(c). What is x(t(r))?
20*r**2
Let n = 2 - 0. Let v be (-1 + 0)*4/(-2). Let y(q) = -v*q + n*q + q. Let p(d) = -2*d**2. Calculate p(y(l)).
-2*l**2
Let a(y) = 4*y**2. Let d(j) = j + 2. Let z(b) = -8*b - 8. Let h(p) = 12*d(p) + 3*z(p). Determine a(h(t)).
576*t**2
Let t(r) be the third derivative of 0*r + 1/30*r**5 + 0*r**3 + 0*r**4 - 2*r**2 + 0. Let u(g) = -2*g. Calculate u(t(q)).
-4*q**2
Let z(l) = -4*l - 4*l + 0*l - 12*l. Let r(k) = k. Determine z(r(m)).
-20*m
Let o = -4 + 6. Let a be (10/(-3))/5*-3. Let t(l) = 4*l**a - 5*l**2 - l**o. Let w(h) = -2*h**2. Calculate t(w(n)).
-8*n**4
Let h(w) = 397*w. Let b(v) = -12*v. What is h(b(d))?
-4764*d
Let k(d) = -7*d. Let u(v) be the third derivative of v**5/120 + v**3/6 - 11*v**2. Let j(q) be the first derivative of u(q). What is j(k(m))?
-7*m
Let v(g) = -g**2 - 88. Let p(y) = -y. Give v(p(z)).
-z**2 - 88
Let b(u) = -5*u**2. Let h(p) = 8*p**2. Give b(h(t)).
-320*t**4
Let n(o) be the first derivative of -o**2 + 2. Let f(c) = c**2 - 7*c + 1. Let b be f(7). Let d(m) = m - b + 1. Determine n(d(i)).
-2*i
Let h(k) = 2*k**2. Let l be (3 - 0) + 2/1. Suppose -4*v - 30 = -5*f, -l*f + 16 = -2*f - 2*v. Let c(o) = -2*o - 3 - f*o + 3. Give h(c(a)).
32*a**2
Let m(i) be the first derivative of i**3 + 2*i - 1. Let w(z) be the first derivative of m(z). Let k(g) = 2*g. Calculate k(w(l)).
12*l
Let c = 10 + -10. Let p(v) = c*v - v + 5*v. Let h(t) = -t**2. Determine p(h(q)).
-4*q**2
Let s(x) = 3*x**2. Let d(t) = -1034*t**2. Give s(d(m)).
3207468*m**4
Let a(x) = -2*x. Let w(l) = -7*l + 1. Let u be w(1). Let g(c) = c + 8. Let i be g(u). Let q(o) = 6 - 6 - 2*o**i. Determine q(a(b)).
-8*b**2
Let t(j) = -12*j + 3*j - j**2 + 3*j. Let b be t(-6). Let s(w) = -7 + b*w + 7 - w. Let z(d) = 2*d**2. What is s(z(p))?
-2*p**2
Let k(g) = -8*g - 7. Let h(y) = -7*y - 6. Let d(t) = 7*h(t) - 6*k(t). Let b(p) = -3*p**2. Give d(b(o)).
3*o**2
Let y(s) be the third derivative of s**6/180 + 7*s**3/6 + 6*s**2. Let t(l) be the first derivative of y(l). Let o(m) = 3*m**2. What is t(o(r))?
18*r**4
Let l(b) be the third derivative of -b**5/6 - 3*b**2. Let m(s) = s**2 + 0*s**2 - 2*s**2 + 2*s**2. Calculate m(l(t)).
100*t**4
Suppose -c = 2*c + 15. Let f(b) = -4*b**2 + 5*b. Let t(a) = 5*a**2 - 6*a. Let w(h) = c*t(h) - 6*f(h). Let p(d) = -d. Determine p(w(y)).
y**2
Let w(f) = -4*f**2 + 26*f. Let k(y) = 20*y. Give k(w(h)).
-80*h**2 + 520*h
Let m(a) = 6*a. Let b(h) = -4*h**2 - h + 1. Let x(s) = -s**2 - s + 1. Let r(t) = b(t) - x(t). Give r(m(q)).
-108*q**2
Let i(a) = 40*a. Let b(q) = -8*q. Suppose -w = -2*x - 3*x - 117, 3*x + 69 = w. Let m(z) = x*b(z) - 5*i(z). Let r(f) = -2*f. What is m(r(v))?
16*v
Let g(t) = 3*t. Let p(m) = -26*m - 1. Give g(p(h)).
-78*h - 3
Let d(j) = -8*j. Let l(q) = -17*q. Let t(c) = -13*d(c) + 6*l(c). Let z(y) = -y. Let g(o) = 4*o. Let h(w) = -2*g(w) - 7*z(w). Calculate h(t(k)).
-2*k
Let a = 94 + -94. Let r(u) be the third derivative of 0*u + 0 + 2*u**2 - 1/12*u**4 + a*u**3. Let j(w) = 2*w**2. Give j(r(m)).
8*m**2
Let w(i) be the third derivative of -i**5/10 - i**2. Suppose -2*c - 10 = -2*y, -3*y - 8 = -4*y + 2*c. Let f(q) = 2*q**2 - q**y + q**2. What is f(w(d))?
72*d**4
Let z(l) = -3*l - 2. Let a(c) = -4*c - 3. Let b(y) = -4*a(y) + 6*z(y). Let i(h) be the third derivative of 0*h**3 + h**2 + 0*h + 0 - 1/12*h**4. What is i(b(n))?
4*n
Let y(g) be the second derivative of -g**6/720 - g**4/3 + 7*g. Let c(d) be the third derivative of y(d). Let s(o) = -21*o. Determine c(s(w)).
21*w
Let u(s) be the first derivative of -s**2/2 + 1. Let d(z) = z - 2*z + 2*z. Let x(g) = -g. Let m(p) = 2*d(p) + x(p). What is m(u(r))?
-r
Let q(k) = -47*k. Let u(x) = -8*x. Determine q(u(w)).
376*w
Let s(r) = 10*r. Let z(v) = 3*v. What is s(z(m))?
30*m
Let f(i) = 6*i. Let g = 4 + -3. Let y(d) = d + 1. Suppose 7*o - 37 + 2 = 0. Let z(t) = -6*t - 5. Let q(w) = g*z(w) + o*y(w). What is q(f(b))?
-6*b
Let p(v) = -v. Let m(b) = 4*b + 6. Let j(u) = -3*u - 5. Let l(
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2
Collect the terms in -108189*m**2 + 27048*m**2 + 27049*m**2 + 27045*m**2 + 27048*m**2.
m**2
Collect the terms in 2*u + u + 224*u**2 + 0*u.
224*u**2 + 3*u
Collect the terms in 56*x - 31 + 20 + 11.
56*x
Collect the terms in 55*q**2 + 64*q**2 - 24*q**2 - 3*q + 13*q**2 + 121*q**2.
229*q**2 - 3*q
Collect the terms in -12*j + 41*j + j**3 - 10*j - 4*j**3 - 7*j.
-3*j**3 + 12*j
Collect the terms in 60*b**2 + 0*b + 0*b + 2607*b**2.
2667*b**2
Collect the terms in -34*t + 42*t - 19*t - 4 + 2 - 1.
-11*t - 3
Collect the terms in 5*s**3 - 674 + 7*s**3 + 674.
12*s**3
Collect the terms in 31*b**2 + 13*b**2 - 17*b**2 + 4 - 4.
27*b**2
Collect the terms in -9561*o + 31864*o + 38925*o.
61228*o
Collect the terms in -58 + 513*p**2 + 24 - 256*p**2 - 256*p**2.
p**2 - 34
Collect the terms in -57*n**2 - 4381111 + 4381111.
-57*n**2
Collect the terms in -7 + 7 + 1665*j**3.
1665*j**3
Collect the terms in 15 + 12 + b - 1 - 26.
b
Collect the terms in 54*t**2 - 60 + 95 - 35.
54*t**2
Collect the terms in -268 - 49*p - 268 - 268 + 804.
-49*p
Collect the terms in 182*d**3 + 101*d**3 + 71*d**3.
354*d**3
Collect the terms in -168*g**3 + 61*g - 26*g**3 - 6 - 61*g + 2*g**2.
-194*g**3 + 2*g**2 - 6
Collect the terms in -k + 978*k**2 - 3*k + 12 + 4*k**3 + k.
4*k**3 + 978*k**2 - 3*k + 12
Collect the terms in 31*m**3 + 29*m**3 + 13*m**3 - 4 - 76*m**3.
-3*m**3 - 4
Collect the terms in -3*d**3 - 21*d**2 - 36*d**2 + 57*d**2.
-3*d**3
Collect the terms in g - 141241895 + 141241895.
g
Collect the terms in -21*c**3 + 2*c**3 - 2*c**3 + 23*c**3.
2*c**3
Collect the terms in -57*o**3 + 3*o**2 - 9*o**3 - 22*o**2 + 8*o**2 + 9*o**2.
-66*o**3 - 2*o**2
Collect the terms in 0*l + 158915*l**2 + 0*l + 158923*l**2 - 317833*l**2.
5*l**2
Collect the terms in 49*o - 49*o + 22*o**2 - 9*o**2 - 18*o**2 - 6*o**2.
-11*o**2
Collect the terms in -88342*k**3 + 44167*k**3 + 44178*k**3.
3*k**3
Collect the terms in -2 - 2 + 21*k + 3.
21*k - 1
Collect the terms in -20518471*v + 20518471*v - v**2.
-v**2
Collect the terms in 1464*g - 730*g - 6*g**2 - 729*g.
-6*g**2 + 5*g
Collect the terms in 1 + 293*g - 1 - 50*g.
243*g
Collect the terms in -2*g**2 + 22 - g**2 + 0*g**2 + 4*g**2.
g**2 + 22
Collect the terms in -89202*o**2 - 22750*o**2 + 13135*o**2.
-98817*o**2
Collect the terms in -n - 157*n**3 + 64*n**3 + 98*n**3 + n.
5*n**3
Collect the terms in -1859135*c + 929564*c + 929565*c.
-6*c
Collect the terms in -3111*f**3 + 6214*f**3 - 3096*f**3.
7*f**3
Collect the terms in -102178*d**3 + 34060*d**3 + 34054*d**3 + 34063*d**3.
-d**3
Collect the terms in -790404929 + z + 790404929.
z
Collect the terms in -9*a**3 - 2 + 5 - 6 + 0 + 8.
-9*a**3 + 5
Collect the terms in 10*m - 48589 + 97196 - 48607.
10*m
Collect the terms in -500*y**2 - 196*y**2 - 223*y**2.
-919*y**2
Collect the terms in -46*j - 8*j + 10*j + 7*j**3 + 48*j.
7*j**3 + 4*j
Collect the terms in -6*s - 18*s + 19*s - 369*s**2.
-369*s**2 - 5*s
Collect the terms in 1117818*f - 1117818*f - 35*f**2.
-35*f**2
Collect the terms in -400*f - 153*f - 155*f + 198*f.
-510*f
Collect the terms in -2 + 3 - 13*t - 14*t - 16*t + 3*t.
-40*t + 1
Collect the terms in -11822*b + 23639*b - 11821*b.
-4*b
Collect the terms in -45 - 40*g**3 + 38*g**3 + 45 - 14*g**2.
-2*g**3 - 14*g**2
Collect the terms in -i**2 - 33*i - 50*i + 83*i.
-i**2
Collect the terms in 62*z**2 + 4*z + 43*z**2 - 24*z**2.
81*z**2 + 4*z
Collect the terms in 72*l - 276*l - 133*l - 218*l + 30*l.
-525*l
Collect the terms in -263 - 11*s + 7*s + 263.
-4*s
Collect the terms in -w**2 + 199*w - 419*w + 220*w.
-w**2
Collect the terms in 20*n + 6*n + 18*n - 9*n + 18*n.
53*n
Collect the terms in l**3 - 410*l**2 - 216 - 407*l**2 + 817*l**2.
l**3 - 216
Collect the terms in 111*k**2 + 346*k**2 - 7*k**2.
450*k**2
Collect the terms in 343 - 514 + 171*c - 173*c.
-2*c - 171
Collect the terms in -34 + 19 + 28*s**2 + 15 - 19*s**2.
9*s**2
Collect the terms in 0*a**3 + 1577 + 2603 + 2*a**3.
2*a**3 + 4180
Collect the terms in -352*b + 62*b + 233*b + 58*b.
b
Collect the terms in -17 - 55005*k + 110007*k - 55001*k.
k - 17
Collect the terms in -11 + 5 - 4 + 0 - 38*p.
-38*p - 10
Collect the terms in 6*t**3 - 13*t**3 + 0*t**3 - 2*t**3 + t**3.
-8*t**3
Collect the terms in -131*d**3 + 243*d**3 - 133*d**3.
-21*d**3
Collect the terms in -3 + 3 + 24*l + 8*l**3 - 7*l.
8*l**3 + 17*l
Collect the terms in -1838 - 2720*h**2 + 1838.
-2720*h**2
Collect the terms in 8 + 16*u**3 - 10 + 24*u**3 - 8*u**3.
32*u**3 - 2
Collect the terms in -293*f - 98*f + 228*f.
-163*f
Collect the terms in 68*p**2 - 40*p**2 - 28*p**2 - 4*p**3.
-4*p**3
Collect the terms in 973*k**2 - 3946*k**2 - 1394*k**2 - 532*k**2.
-4899*k**2
Collect the terms in 2921*u**2 + 2934*u**2 - 5856*u**2.
-u**2
Collect the terms in -1019 + 10*x**3 + 8*x + 1019.
10*x**3 + 8*x
Collect the terms in -6*q + 6*q - 1733*q**2 + 1665*q**2.
-68*q**2
Collect the terms in 926*j - j**2 - 931*j - 5*j**2.
-6*j**2 - 5*j
Collect the terms in -r**3 - 2262 - 2047 + 5*r**2 - r**3.
-2*r**3 + 5*r**2 - 4309
Collect the terms in 1 + 4*o**2 + 535*o**3 - 4*o**2 + 38*o**3.
573*o**3 + 1
Collect the terms in 4203578*o**2 + 6*o**3 - 4203578*o**2.
6*o**3
Collect the terms in -1161 + 1161 - 293*o**3 + 301*o**3.
8*o**3
Collect the terms in 15729*v**2 - 15729*v**2 - v**3.
-v**3
Collect the terms in -2125*o**2 - 2165*o**2 + 4324*o**2.
34*o**2
Collect the terms in 18*j**2 + 36010*j - 36010*j.
18*j**2
Collect the terms in 62*j**2 + 2670*j**2 + 793*j**2 - 497*j**2.
3028*j**2
Collect the terms in -3*q + 361 + 40*q**2 - 717 + 356.
40*q**2 - 3*q
Collect the terms in -4 - 310*w + 4 + 62*w.
-248*w
Collect the terms in -6*s**2 - 23386*s + 23386*s.
-6*s**2
Collect the terms in 4*b + 60*b + 4*b.
68*b
Collect the terms in 68*h**3 + 63*h**3 + 60*h**3 - 331*h**3 + 66*h**3 + 63*h**3.
-11*h**3
Collect the terms in 2*r + 0*r + 9 + 1 - 3*r**3 - 2*r.
-3*r**3 + 10
Collect the terms in -111*q**3 + 1312961*q - 1312961*q + 1.
-111*q**3 + 1
Collect the terms in -10916380 + 8*g + 10916380.
8*g
Collect the terms in 3434*a**3 - 1971 + 1971.
3434*a**3
Collect the terms in 2 + 8*d - 15*d + 0 - 2 + 5*d.
-2*d
Collect the terms in -7*j**2 + 106 - 106 + 3*j**3 + 3*j**2.
3*j**3 - 4*j**2
Collect the terms in 887*l + 57*l + 2861*l + 960*l.
4765*l
Collect the terms in -426 - t + 134 - 85 + 166.
-t - 211
Collect the terms in 8079*r**3 - 16189*r**3 + 8080*r**3.
-30*r**3
Collect the terms in -41 + 2*n + 20 + 19 - 15.
2*n - 17
Collect the terms in -12 - 17 - 15 + 44 - 21*z**2 + 28*z**2.
7*z**2
Collect the terms in 75*w - 42829860 + 42829860.
75*w
Collect the terms in 142 - 84 - 58 - 14*s**2.
-14*s**2
Collect the terms in -1544*r**3 - r**2 + 3079*r**3 + r**2 - 1538*r**3.
-3*r**3
Collect the terms in -11 - 370*t**2 - 373*t**2 + 11 + 722*t**2.
-21*t**2
Collect the terms in -1095*m**2 - 126809*m + 126809*m.
-1095*m**2
Collect the terms in -b + b - 2427 + 2427 + 693*b**2 - 717*b**2.
-24*b**2
Collect the terms in j - 7*j**2 + 184*j**2 + 51*j**2 + 563*j**2.
791*j**2 + j
Collect the terms in -18*c + 876 - 3*c**2 + c**2 + 18*c.
-2*c**2 + 876
Collect the terms in 506*a - 3*a - 31*a**2 + 29*a**2.
-2*a**2 + 503*a
Collect the terms in -151*v**2 + 596*v**2 - 149*v**2 - 144*v**2 - 149*v**2.
3*v**2
Collect the terms in 45*q**2 - 58*q**2 + 6*q**3 - 34*q**2 + 47*q**2 - 2*q**3.
4*q**3
Collect the terms in 51*k**3 - 2*k**2 - 8*k**2 + 2*k + 10*k**2 + 6.
51*k**3 + 2*k + 6
Collect the terms in 11*o**2 - 5*o**2 + 6*o**2 + 72*o**2.
84*o**2
Collect the terms in -11*c**2 + 31*c**2 + 18*c**2 - 54 + 11*c**2 + 56.
49*c**2 + 2
Collect the terms in 618*k - 9 + 2 + 7 + 255*k.
873*k
Collect the terms in -19*t**3 - 6*t**2 - 2*t**3 - 3*t + t**3.
-20*t**3 - 6*t**2 - 3*t
Collect the terms in -5 + 5 + 23293*w**3 - 11682*w**3 - 11610*w**3.
w**3
Collect the terms in -16*h + 0*h**2 - 1634545*h**3 + 0*h**2 + 1634536*h**3.
-9*h**3 - 16*h
Collect the terms in -15321*h - 17134*h - 5149*h + 2136*h.
-35468*h
Collect the terms in 18*j + 2*j**3 + 248 + 255 - 763 + 260.
2*j**3 + 18*j
Collect the terms in 226*u + 228*u + 267*u + 223*u - 947*u.
-3*u
Collect the terms in -747*q + 227*q + 288*q + 232*q + 30*q**2.
30*q**2
Collect the terms in 2 - 5*l + 0 - 2 - 5 + 3.
-5*l - 2
Collect the terms in -28*j - 53 + 60 + 63*j.
35*j + 7
Collect the terms in -4895*m**2 + 2 + 0 + 3 - 6.
-4895*m**2 - 1
Collect the terms in -10045*p**2 + 0*p**3 - 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
rounded to two decimal places?
-0.01
Round 0.13880246936 to five dps.
0.1388
What is -125.1404916 rounded to two decimal places?
-125.14
Round 234.83865 to one dp.
234.8
What is -15920729.8 rounded to the nearest one million?
-16000000
What is -1112.2964652 rounded to the nearest 100?
-1100
What is -15913777900 rounded to the nearest one million?
-15914000000
Round -1635.386078 to the nearest one thousand.
-2000
What is 0.035549616 rounded to 5 decimal places?
0.03555
What is -0.84358509 rounded to 4 dps?
-0.8436
What is 0.01261441301 rounded to 5 dps?
0.01261
Round 40279210.7 to the nearest one hundred thousand.
40300000
What is -0.3186067617 rounded to two decimal places?
-0.32
Round 0.000453438153 to 7 dps.
0.0004534
Round -696186.7306 to the nearest 10000.
-700000
What is 603229.172 rounded to the nearest 100000?
600000
Round 9679.253176 to 1 dp.
9679.3
Round -0.00005584427855 to six dps.
-0.000056
What is 123766.6515 rounded to the nearest 1000?
124000
What is -11020132.24 rounded to the nearest 100000?
-11000000
What is -0.0000126915898 rounded to five dps?
-0.00001
What is -2.430017451 rounded to 4 dps?
-2.43
Round -66.074812 to 0 dps.
-66
What is 0.362043679 rounded to 3 decimal places?
0.362
Round 0.003243773 to 3 dps.
0.003
Round 0.00502454747 to 6 decimal places.
0.005025
What is -0.0847445222 rounded to one decimal place?
-0.1
What is -156850702.58 rounded to the nearest ten thousand?
-156850000
Round 136.9973507 to one dp.
137
What is 0.0481634492 rounded to 4 decimal places?
0.0482
Round -0.007693682074 to 5 dps.
-0.00769
What is -31.92767965 rounded to 3 decimal places?
-31.928
Round 91.7631544 to the nearest ten.
90
What is 0.0859236632 rounded to three dps?
0.086
Round -0.0006008258618 to five decimal places.
-0.0006
What is -10249360.3 rounded to the nearest one thousand?
-10249000
What is 0.090765483 rounded to 3 decimal places?
0.091
Round 0.0030458737 to four dps.
0.003
Round 0.013345887 to five decimal places.
0.01335
What is 0.000102487727 rounded to six dps?
0.000102
What is 9.5378791 rounded to 3 dps?
9.538
Round 0.000061438453 to 5 dps.
0.00006
Round -310171067.4 to the nearest 1000000.
-310000000
What is 0.006261645533 rounded to 4 dps?
0.0063
What is -6.574546 rounded to one decimal place?
-6.6
What is -0.383802816 rounded to two decimal places?
-0.38
What is -1.19256711 rounded to 3 dps?
-1.193
Round -0.000000735036 to seven dps.
-0.0000007
Round 0.00164194408 to 5 dps.
0.00164
What is -114731.715 rounded to the nearest 10000?
-110000
Round -424537.3818 to the nearest one hundred.
-424500
What is 15443115.1 rounded to the nearest 100000?
15400000
What is -49.9473653 rounded to one dp?
-49.9
Round -2852874732 to the nearest one hundred thousand.
-2852900000
What is -0.1107733489 rounded to 5 decimal places?
-0.11077
What is -32.50993824 rounded to one decimal place?
-32.5
What is -424565.517 rounded to the nearest one hundred?
-424600
What is -0.240711145 rounded to one dp?
-0.2
What is 0.00000817511939 rounded to seven decimal places?
0.0000082
What is 13481.6495 rounded to zero dps?
13482
What is 32258488.9 rounded to the nearest ten thousand?
32260000
Round -81.3140646 to three dps.
-81.314
Round -146574.2 to the nearest 100.
-146600
Round 3234040570 to the nearest 100000.
3234000000
What is -0.00208711992 rounded to 5 decimal places?
-0.00209
What is 0.300144859 rounded to 3 dps?
0.3
Round 412304383.5 to the nearest 10000.
412300000
What is -1.821204326 rounded to 3 decimal places?
-1.821
Round -0.0000156448299 to seven dps.
-0.0000156
What is 92447399 rounded to the nearest 10000?
92450000
Round 1416705000 to the nearest one million.
1417000000
What is 0.00252403654 rounded to 3 decimal places?
0.003
What is 35749363.69 rounded to the nearest ten thousand?
35750000
Round 0.001131184378 to 5 dps.
0.00113
What is 1843149.232 rounded to the nearest 1000?
1843000
Round -0.1022983586 to four dps.
-0.1023
What is -126.5498 rounded to the nearest 100?
-100
What is -0.4591154892 rounded to five dps?
-0.45912
Round -95669607.49 to the nearest ten thousand.
-95670000
What is -0.0000209059896 rounded to 7 dps?
-0.0000209
What is -0.0000168074394 rounded to 6 dps?
-0.000017
What is -0.00000483934605 rounded to seven decimal places?
-0.0000048
Round -98053.045 to the nearest one hundred.
-98100
Round -99013.731 to the nearest ten.
-99010
What is -31901528 rounded to the nearest 100000?
-31900000
Round -0.002440464722 to 4 dps.
-0.0024
What is -10.412821459 rounded to 0 dps?
-10
Round 436501.0309 to the nearest 10000.
440000
Round 46152155.37 to the nearest one thousand.
46152000
Round -57535997.2 to the nearest 100000.
-57500000
What is -0.00406723884 rounded to 6 dps?
-0.004067
What is 0.000068625771 rounded to 5 decimal places?
0.00007
Round 0.000074003775 to five decimal places.
0.00007
What is -393306.463 rounded to the nearest one hundred?
-393300
Round -896313.69 to the nearest one hundred.
-896300
Round 15990040.9 to the nearest 100000.
16000000
Round -10931.27583 to zero dps.
-10931
What is -0.3621669035 rounded to two dps?
-0.36
What is 24.3527334 rounded to the nearest ten?
20
Round 0.0257824549 to 4 decimal places.
0.0258
Round -46.26962906 to one dp.
-46.3
What is 27737.669 rounded to the nearest ten?
27740
Round -0.00964873424 to five decimal places.
-0.00965
What is -0.000005074812459 rounded to six dps?
-0.000005
Round -306155.19 to the nearest one hundred thousand.
-300000
What is 0.00061323548 rounded to six dps?
0.000613
Round -0.0001576470924 to 6 decimal places.
-0.000158
What is -45.8470134 rounded to the nearest 100?
0
What is -0.00000086406026 rounded to 5 decimal places?
0
Round -0.0002744382564 to five decimal places.
-0.00027
What is -2504499.59 rounded to the nearest 100?
-2504500
Round -68.91033 to 1 decimal place.
-68.9
Round 0.0060738312 to 3 decimal places.
0.006
Round 82.97957819 to 0 decimal places.
83
What is -34.47128262 rounded to the nearest 10?
-30
Round 0.0034504636 to 4 dps.
0.0035
Round 0.00001523205154 to six decimal places.
0.000015
Round 3573276064 to the nearest 100000.
3573300000
What is 0.00043298821 rounded to 5 decimal places?
0.00043
Round 0.09750839524 to six decimal places.
0.097508
Round 3506.3506 to the nearest one hundred.
3500
What is 0.0007000405509 rounded to 6 dps?
0.0007
Round -342638876 to the nearest 100000.
-342600000
Round 0.0000003683257415 to seven decimal places.
0.0000004
Round 4414110.52 to the nearest 1000.
4414000
Round 0.226798828 to two decimal places.
0.23
Round 3008.1373 to the nearest ten thousand.
0
What is -0.307264901 rounded to 3 decimal places?
-0.307
Round -30208.5851 to the nearest one hundred.
-30200
Round 0.05740816854 to 5 dps.
0.05741
What is -508510.6 rounded to the nearest one thousand?
-509000
What is -77257730 rounded to the nearest one hundred thousand?
-77300000
Round -3.93513319 to three decimal places.
-3.935
Round -15579544430 to the nearest one million.
-15580000000
What is 5656293.58 rounded to the nearest 100000?
5700000
What is -0.01013347441 rounded to three decimal places?
-0.01
Round -1131.070122 to the nearest 100.
-1100
Round 0.2071574997 to two dps.
0.21
What is 5605443.29 rounded to the nearest one million?
6000000
Round 534.83589 to the nearest integer.
535
What is -19289329.6 rounded to the nearest one hundred thousand?
-19300000
Round -256220459 to the nearest one hundred thousand.
-256200000
What is -98493.012 rounded to the nearest 100000?
-100000
What is 53378.4 rounded to the nearest ten?
53380
What is -5844310.81 rounded to the nearest 100000?
-5800000
Round -28.7136429 to 2 dps.
-28.71
What is -1306.081988 rounded to one dp?
-1306.1
What is 253.996354 rounded to 1 decimal place?
254
Round -1.707830284 to three decimal places.
-1.708
What is -1947.058716 rounded to the nearest 100?
-1900
What is 555.5905 rounded to the nearest 10?
560
Round -62.81918158 to 0 decimal places.
-63
What is -41.3577386 rounded to the nearest integer?
-41
Round -3.59065533 to 3 decimal places.
-3.591
What is -16015085.34 rounded to the nearest one hundred thousand?
-16000000
Round 215428.958 to the nearest 100.
215400
What is 0.011317661 rounded to 6 dps?
0.011318
What is 0.00000033742426 rounded to seven dps?
0.0000003
Round 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
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