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3 - 206*r/13 + 140/13 = 0. What is r?
-35, -1, 2/7
Suppose 12*i**5 - 220*i**4 + 1236*i**3 - 2548*i**2 + 1920*i - 400 = 0. Calculate i.
1/3, 1, 2, 5, 10
Factor 2*r**3/3 + 12*r**2 - 96*r.
2*r*(r - 6)*(r + 24)/3
Factor -2*t**4/11 - 4*t**3/11 + 6*t**2/11.
-2*t**2*(t - 1)*(t + 3)/11
Find g such that 2*g**2/9 - 2*g/9 = 0.
0, 1
Factor 2*d**3/7 + 60*d**2/7 + 216*d/7 - 3888/7.
2*(d - 6)*(d + 18)**2/7
Suppose 2*w**5/5 + 17*w**4/5 + 33*w**3/5 + 18*w**2/5 = 0. What is w?
-6, -3/2, -1, 0
Find o, given that -2*o**5/11 + 30*o**4/11 - 174*o**3/11 + 482*o**2/11 - 624*o/11 + 288/11 = 0.
1, 3, 4
Factor -u**5/9 + 14*u**4/9 + 152*u**3/9 + 496*u**2/9 + 688*u/9 + 352/9.
-(u - 22)*(u + 2)**4/9
Let -222*l**4/11 + 668*l**3/11 - 6*l**2/11 = 0. What is l?
0, 1/111, 3
Let c**2/8 + 109*c/4 + 159 = 0. What is c?
-212, -6
Factor 3*k**5 + 3*k**4 - 9*k**3 - 15*k**2 - 6*k.
3*k*(k - 2)*(k + 1)**3
Find h, given that -33*h**5 + 171*h**4 - 327*h**3 + 285*h**2 - 108*h + 12 = 0.
2/11, 1, 2
Find s such that -s**5/3 - s**4/3 + 11*s**3/3 + 3*s**2 - 6*s = 0.
-3, -2, 0, 1, 3
Factor q**3/3 + 28*q**2 + 343*q - 33614/3.
(q - 14)*(q + 49)**2/3
Find r such that -2*r**2/3 - 16*r/3 + 256/3 = 0.
-16, 8
Determine w, given that 5*w**4 - 10*w**3 - 135*w**2 + 540*w - 540 = 0.
-6, 2, 3
Suppose -3*v**2/7 - 19686*v/7 - 32294883/7 = 0. What is v?
-3281
Suppose -3*z**3 + 27*z**2 - 42*z = 0. What is z?
0, 2, 7
Suppose y**4 - y**3 = 0. What is y?
0, 1
Factor -y**2 + 3107*y + 3108.
-(y - 3108)*(y + 1)
Let 3*f**2 - 138*f - 2301 = 0. Calculate f.
-13, 59
Factor 2*h**3/3 + 136*h**2/3 + 2312*h/3.
2*h*(h + 34)**2/3
Factor -4*a**4 + 744*a**3 + 3844*a**2 - 4584*a.
-4*a*(a - 191)*(a - 1)*(a + 6)
Factor -m**5 + 122*m**4 - 3840*m**3 + 7200*m**2.
-m**2*(m - 60)**2*(m - 2)
Factor 4*s**5 + 808*s**4 + 53856*s**3 + 1146752*s**2 - 2515456*s.
4*s*(s - 2)*(s + 68)**3
Suppose t**2/8 - t - 33/8 = 0. Calculate t.
-3, 11
Factor -2*q**5/9 + 16*q**4/9 - 40*q**3/9 + 32*q**2/9.
-2*q**2*(q - 4)*(q - 2)**2/9
Factor -12*x**4 - 240*x**3 - 1479*x**2 - 2601*x.
-3*x*(x + 3)*(2*x + 17)**2
Suppose -5*l**5 - 100*l**4 + 380*l**3 + 730*l**2 - 1815*l - 2070 = 0. What is l?
-23, -2, -1, 3
Factor -v**3/5 + 2*v**2 - 29*v/5 + 4.
-(v - 5)*(v - 4)*(v - 1)/5
Factor -25*k**2 - 435*k - 170.
-5*(k + 17)*(5*k + 2)
Factor -g**3/7 + 235*g**2/7 - 1367*g/7 - 229.
-(g - 229)*(g - 7)*(g + 1)/7
Suppose -4*o**3/5 + 128*o**2/5 - 1232*o/5 + 3136/5 = 0. Calculate o.
4, 14
Solve 25*u**5 + 115*u**4 - 575*u**3 + 785*u**2 - 430*u + 80 = 0 for u.
-8, 2/5, 1
Factor -2*y**2 + 42*y + 92.
-2*(y - 23)*(y + 2)
Factor 2*h**2 + 2*h - 84.
2*(h - 6)*(h + 7)
Find f, given that -f**2/2 - 705*f - 497025/2 = 0.
-705
Factor -2*v**3/9 - 14*v**2/3 - 80*v/3 - 416/9.
-2*(v + 4)**2*(v + 13)/9
Factor 2*z**5 + 25*z**4 + 72*z**3 - 170*z**2 - 850*z - 375.
(z - 3)*(z + 5)**3*(2*z + 1)
Factor h**5/2 - 15*h**4/2 + 69*h**3/2 - 65*h**2/2 - 75*h.
h*(h - 6)*(h - 5)**2*(h + 1)/2
Factor o**4/7 + 12*o**3/7 - 121*o**2/7 + 228*o/7.
o*(o - 4)*(o - 3)*(o + 19)/7
Factor 14*h**4 + 298*h**3 + 84*h**2.
2*h**2*(h + 21)*(7*h + 2)
Suppose k**4/2 + 145*k**3/2 - 897*k**2/2 + 1359*k/2 = 0. What is k?
-151, 0, 3
Factor 4*b**2/7 - 200*b/7 + 28.
4*(b - 49)*(b - 1)/7
Determine j, given that -4*j**3/9 + 4*j**2/9 + 64*j/9 - 64/9 = 0.
-4, 1, 4
Suppose 24*d**5 + 117*d**4 - 231*d**3 - 1917*d**2 - 2349*d + 324 = 0. What is d?
-3, 1/8, 4
Suppose 2*h**3/17 - 4*h**2/17 - 50*h/17 + 100/17 = 0. What is h?
-5, 2, 5
Factor 150*r**2 - 210*r + 147/2.
3*(10*r - 7)**2/2
Factor -h**4/3 - 8*h**3/3 + 11*h**2 - 4*h/3 - 44/3.
-(h - 2)**2*(h + 1)*(h + 11)/3
Suppose -f**5/7 + 5*f**4/7 + 17*f**3/7 - 3*f**2 = 0. What is f?
-3, 0, 1, 7
Factor -192*c**3 + 8784*c**2 - 133956*c + 680943.
-3*(4*c - 61)**3
Factor -20*d**2 + 6*d.
-2*d*(10*d - 3)
Let 2*s**5/7 - 510*s**4/7 + 48640*s**3/7 - 2048000*s**2/7 + 31457280*s/7 + 33554432/7 = 0. Calculate s.
-1, 64
Let 3*v**3 + 813*v**2/5 + 4482*v/5 + 864/5 = 0. What is v?
-48, -6, -1/5
Factor f**2/2 + 109*f + 11881/2.
(f + 109)**2/2
Determine v, given that 42*v**2/11 + 80*v/11 - 8/11 = 0.
-2, 2/21
Determine u, given that -u**5/3 - 6*u**4 - 20*u**3 + 200*u**2/3 = 0.
-10, 0, 2
Factor 2*b**3/3 + b**2/3.
b**2*(2*b + 1)/3
Find z, given that 5*z**2 + 250*z + 245 = 0.
-49, -1
Factor -4*k**2 + 96*k - 92.
-4*(k - 23)*(k - 1)
Find h such that -8*h**3/7 + 44*h**2/7 - 52*h/7 + 16/7 = 0.
1/2, 1, 4
Factor a**2/2 - 141*a/2 + 70.
(a - 140)*(a - 1)/2
Find x, given that 2*x**2/9 + 6*x - 56/9 = 0.
-28, 1
Determine j, given that 12*j**4 - 218*j**3 + 960*j**2 - 874*j + 120 = 0.
1/6, 1, 5, 12
Factor l**2/2 - l - 3/2.
(l - 3)*(l + 1)/2
Find p such that 133*p**3/2 - 1931*p**2/3 - 638*p/3 - 20/3 = 0.
-2/7, -2/57, 10
Let -2*r**3 + 5*r**2 - 3*r = 0. Calculate r.
0, 1, 3/2
Factor 3*i**5 - i**4 - 35*i**3 + 61*i**2 - 28*i.
i*(i - 1)**2*(i + 4)*(3*i - 7)
Determine w so that -w**4/10 - 13*w**3/10 - 51*w**2/10 - 7*w/2 + 10 = 0.
-5, -4, 1
Factor 5*m**2 + 130*m + 440.
5*(m + 4)*(m + 22)
Solve -3*h**3 - 351*h**2 + 354*h = 0.
-118, 0, 1
Factor 25*y**3 + 9540*y**2 + 5705*y - 3810.
5*(y + 1)*(y + 381)*(5*y - 2)
Find l, given that -5*l**2/4 - 35*l + 3825/4 = 0.
-45, 17
Solve -w**2/11 + 520*w/11 - 2064/11 = 0 for w.
4, 516
Determine m, given that m**4 + m**3 - 21*m**2 - m + 20 = 0.
-5, -1, 1, 4
Suppose 36*i**4 - 795*i**3 + 39*i**2 + 588*i + 132 = 0. What is i?
-2/3, -1/4, 1, 22
Let 2*u**3/19 + 938*u**2/19 - 1882*u/19 + 942/19 = 0. Calculate u.
-471, 1
Factor 5*i**2.
5*i**2
Factor -w**4 + 52*w**3 + 219*w**2 + 278*w + 112.
-(w - 56)*(w + 1)**2*(w + 2)
Solve 2*q**5 + 11*q**4 - 6*q**3 - 64*q**2 + 32*q = 0 for q.
-4, 0, 1/2, 2
Factor -2*i**3 - 24*i**2 - 96*i - 128.
-2*(i + 4)**3
Determine q, given that -q**3/6 + 143*q**2/3 - 569*q/6 + 142/3 = 0.
1, 284
Factor 45*j**2 + 140*j - 425.
5*(j + 5)*(9*j - 17)
Suppose -5*l**2 + 20*l + 105 = 0. What is l?
-3, 7
Determine b, given that -2*b**4/13 + 230*b**3/13 - 666*b**2 + 7722*b + 18252 = 0.
-2, 39
Let 4*p**5/5 + 84*p**4/5 - 76*p**3 + 492*p**2/5 - 40*p = 0. Calculate p.
-25, 0, 1, 2
Let -w**3/4 + 189*w**2/4 - 11907*w/4 + 250047/4 = 0. What is w?
63
Let 15*g**5 - 205*g**4 - 1150*g**3 - 360*g**2 = 0. What is g?
-4, -1/3, 0, 18
What is f in 4*f**4 + 632*f**3 + 27364*f**2 + 189600*f + 360000 = 0?
-75, -4
Determine g so that 2*g**2/15 - 44*g/15 + 16/3 = 0.
2, 20
Find p such that -4*p**2/7 - 1464*p/7 = 0.
-366, 0
Factor -2*x**5/15 - 18*x**4/5 - 48*x**3/5.
-2*x**3*(x + 3)*(x + 24)/15
Find l, given that -l**2/3 + 484*l + 1453/3 = 0.
-1, 1453
Factor 3*h**4/2 + 165*h**3 - 504*h**2 + 507*h - 339/2.
3*(h - 1)**3*(h + 113)/2
Factor -b**2 - 10150*b - 25755625.
-(b + 5075)**2
Determine n, given that -n**3 + 5523*n**2 - 10167843*n + 6239666321 = 0.
1841
Determine i so that 10*i**5 - 644*i**4 - 1754*i**3 + 764*i**2 + 2696*i - 1072 = 0.
-2, 2/5, 1, 67
Factor 2*d**3/15 + 44*d**2/15 - 32*d/5.
2*d*(d - 2)*(d + 24)/15
Find q, given that q**5/5 + 9*q**4/5 + 31*q**3/5 + 51*q**2/5 + 8*q + 12/5 = 0.
-3, -2, -1
Factor 2*c**2 - 480*c - 1952.
2*(c - 244)*(c + 4)
Determine j so that j**2 + 37*j = 0.
-37, 0
Factor 4*q**4/5 - 104*q**3/5 + 288*q**2/5 - 56*q + 92/5.
4*(q - 23)*(q - 1)**3/5
Factor -7*o**2/3 + 194*o/3 + 56/3.
-(o - 28)*(7*o + 2)/3
Factor -3*y**4/5 + 6*y**3/5 + 9*y**2/5 - 12*y/5 - 12/5.
-3*(y - 2)**2*(y + 1)**2/5
Factor n**5 + 127*n**4 - 129*n**3 - 127*n**2 + 128*n.
n*(n - 1)**2*(n + 1)*(n + 128)
Factor 3*k**4 - 3*k**3 - 30*k**2 - 24*k.
3*k*(k - 4)*(k + 1)*(k + 2)
Factor u**2/7 + 15*u/7 + 2.
(u + 1)*(u + 14)/7
Find f such that 2*f**2 + 32*f + 110 = 0.
-11, -5
Let 2*s**5 - 254*s**4 - 514*s**3 - 258*s**2 = 0. Calculate s.
-1, 0, 129
Factor -a**2/2 + 629*a - 395641/2.
-(a - 629)**2/2
Solve -2*w**3/5 - 208*w**2/5 - 770*w - 19844/5 = 0 for w.
-82, -11
Factor 2*h**3/13 - 92*h**2 - 3602*h/13 - 2404/13.
2*(h - 601)*(h + 1)*(h + 2)/13
Factor s**2 - 13*s - 114.
(s - 19)*(s + 6)
What is v in 2*v**4/7 - 104*v**3/7 + 202*v**2/7 - 100*v/7 = 0?
0, 1, 50
Determine b, given that -5*b**4 + 451*b**3/7 - 172*b**2 - 28*b + 144/7 = 0.
-2/5, 2/7, 4, 9
Factor 2*r**2 - 204*r + 5202.
2*(r - 51)**2
What is m in 2*m**5 - 170*m**4 - 178*m**3 + 514*m**2 + 176*m - 344 = 0?
-2, -1, 1, 86
Factor -2*g**4/7 + 200*g**3/7 - 7500*g**2/7 + 125000*g/7 - 781250/7.
-2*(g - 25)**4/7
Factor -l**5 - 5*l**4.
-l**4*(l + 5)
Suppose -2*t**3/11 - 4*t**2 - 158*t/11 + 204/11 = 0. Calcu
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{
"pile_set_name": "DM Mathematics"
}
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= 0. Calculate o.
0
Suppose -32*s + 30*s**2 + 34*s**3 - 2*s**5 + 2792*s**4 - 5620*s**4 + 2798*s**4 = 0. What is s?
-16, -1, 0, 1
Let o = 952432 - 2857295/3. What is c in 0 - o*c**3 + 1/6*c**4 + 4/3*c - 2/3*c**2 = 0?
-2, 0, 2
Let b(l) be the third derivative of -8*l**2 - 10/7*l**4 + 0 - 47/210*l**5 - 75/14*l**3 - 1/1470*l**7 - 14*l - 2/105*l**6. Factor b(q).
-(q + 3)**2*(q + 5)**2/7
Suppose -4*b + 2*x = 4*x - 30, 4*b = 3*x + 45. Let g be ((-244)/(-28) - b)/(1 - 2). Determine k so that -g*k - 6/7*k**2 - 4/7*k**3 + 0 = 0.
-1, -1/2, 0
Suppose -12*u - 112 = -68*u. Suppose -t = -6*n + n - 24, 0 = 5*t + 4*n - 4. Factor t*k + 4 - 4 + 13*k**u - 9*k**2.
4*k*(k + 1)
Let f(v) = -v**2 - 17*v + 21. Let o be f(-18). Let 14*n - 3*n + 10*n + 10*n - o*n + 4*n**2 = 0. Calculate n.
-7, 0
Suppose -5*v + 5*q - q + 26 = 0, -q - 14 = -5*v. What is z in 1039 + 1045 + z + 4*z**v - 2084 = 0?
-1/4, 0
Let o be (-15)/((-1650)/1232) + (-10 - -2). Find g, given that -1/5*g**2 - o + 8/5*g = 0.
4
Let o(t) be the second derivative of -1/60*t**5 - 3 - 1/18*t**4 + 0*t**2 + 0*t**3 + 1/90*t**6 + 4*t. Factor o(k).
k**2*(k - 2)*(k + 1)/3
Let b(a) = -5*a**3 - 228*a**2 + 702*a - 6. Let i(v) = 26*v**3 + 1140*v**2 - 3510*v + 32. Let c(x) = -16*b(x) - 3*i(x). Factor c(s).
2*s*(s - 3)*(s + 117)
Let b(u) = 14*u**3 - 4*u**2 + 4*u - 1. Let j be b(1). Suppose -j = -2*r + 17. Factor 4*m + 5*m - 22*m**3 + 27 - r*m**2 + 25*m**3.
3*(m - 3)**2*(m + 1)
Suppose 4*d - 2*d - 3*o = 23, 0 = -4*d - 5*o - 9. Solve -20*p + d*p**2 - 3*p**2 + 2*p**2 - 16 - 2*p = 0.
-2/3, 8
Let w be (-2)/(-7 + 276/36) + 6 + -1. Let x(y) be the second derivative of 1/7*y**4 - 2/7*y**3 - 17*y + 2/7*y**w - 1/35*y**5 + 0. Let x(n) = 0. What is n?
1
Let n be 3/6*8*(-135)/(-72). Let f(o) be the first derivative of n*o**2 - 8 - 5/3*o**3 - 10*o. Factor f(w).
-5*(w - 2)*(w - 1)
Let i(q) be the second derivative of -q**6/10 - 3*q**5/4 - 3*q**4/4 + 9*q**3/2 + 552*q + 2. Factor i(c).
-3*c*(c - 1)*(c + 3)**2
Suppose 3*s - 79 = 119. Let v be 6/33 + 2958/s. Suppose 189*a**2 + 6*a**3 + 2*a**4 - v*a**2 + 2*a**4 + 42*a**3 = 0. What is a?
-6, 0
Let r be -6 - (-4)/(-18)*18438/28. Let f = r - -153. Factor 0 + 1/3*g**4 - f*g + 1/9*g**5 - 1/3*g**3 - 11/9*g**2.
g*(g - 2)*(g + 1)**2*(g + 3)/9
Let g(i) be the third derivative of -i**5/12 + 845*i**4/2 - 856830*i**3 - 754*i**2 - 2*i. Factor g(t).
-5*(t - 1014)**2
Let o(u) be the first derivative of 5*u**3/3 - 175*u**2/2 + 750*u + 2430. Factor o(z).
5*(z - 30)*(z - 5)
Let y(t) be the first derivative of t**3/4 + 213*t**2/4 - 216*t + 7824. Solve y(s) = 0 for s.
-144, 2
Suppose 3*m + m + q - 4 = 0, -3*m - 12 = -3*q. Let d(z) be the second derivative of 12*z + 1/24*z**3 + m - 1/24*z**4 + 1/8*z**2. Factor d(l).
-(l - 1)*(2*l + 1)/4
Let b(s) be the second derivative of -s**6/6 + 6*s**5 - 75*s**4/4 + 55*s**3/3 + 434*s. Factor b(m).
-5*m*(m - 22)*(m - 1)**2
Let f = 363919/6 - 60360. Let o = f + -293. Factor -o*b - 5/6*b**3 + 0 - b**2.
-b*(b + 1)*(5*b + 1)/6
Let m(g) be the first derivative of -g**4/12 - 25*g**3/9 - 56*g**2/3 + 196*g + 459. Factor m(b).
-(b - 3)*(b + 14)**2/3
Suppose g = 3*g - 6. Suppose -111*m + 20 = -91*m. Let v(w) = 2*w**2 - 1. Let a(f) = -4*f**2 + 12*f + 13. Let z(y) = g*v(y) + m*a(y). Factor z(s).
2*(s + 1)*(s + 5)
Let -519/4*p**3 - 1026 - 3/4*p**5 + 1143*p + 69/2*p**2 - 21*p**4 = 0. What is p?
-19, -6, 1, 2
Let w(b) be the first derivative of -9*b**4/4 - 287*b**3 + 144*b**2 - 2577. Factor w(v).
-3*v*(v + 96)*(3*v - 1)
Let m(q) be the first derivative of -2*q**3/9 + 37*q**2/3 - 140*q/3 - 2746. Factor m(i).
-2*(i - 35)*(i - 2)/3
Let w(f) be the second derivative of f**9/37800 - f**8/16800 - f**7/3150 + 5*f**4/12 - 9*f**2/2 - 27*f. Let b(j) be the third derivative of w(j). Factor b(l).
2*l**2*(l - 2)*(l + 1)/5
Let c(a) be the second derivative of -4/57*a**3 - 1/95*a**6 - 1 + 4/19*a**2 - 7/95*a**5 - 1/6*a**4 + 29*a. Let c(o) = 0. What is o?
-2, -1, 1/3
Let -350/13 + 80/13*r - 2/13*r**2 = 0. What is r?
5, 35
Let z(d) = 4*d**3 + 343*d**2 + 7260*d + 78. Let a be z(-38). Factor -1/3*q**3 + a - 11/3*q + 2*q**2.
-(q - 3)*(q - 2)*(q - 1)/3
Factor 63/8*b**3 - 225 + 1105/8*b - 1/8*b**4 + 633/8*b**2.
-(b - 72)*(b - 1)*(b + 5)**2/8
Let z be (76/(-570))/((-64)/96). Let 36/5 + 16/5*q - z*q**2 = 0. What is q?
-2, 18
Let u(w) be the second derivative of 1/60*w**5 - 19/6*w**3 + 0 + 30*w + 0*w**4 + 0*w**2 - 1/2340*w**6. Let f(z) be the second derivative of u(z). Factor f(c).
-2*c*(c - 13)/13
Let x(h) = -9*h**2 + 70*h - 121. Let k be x(5). Let b(a) be the first derivative of -1/8*a**k - 2/3*a**3 + 16 + 2*a + 1/4*a**2. Factor b(i).
-(i - 1)*(i + 1)*(i + 4)/2
Let f(o) be the first derivative of -5*o**6/6 + 87*o**5/5 + 291*o**4/4 - 7735*o**3/3 + 1521*o**2 + 1905. Find a, given that f(a) = 0.
-9, 0, 2/5, 13
Factor 68*o**3 - 32 + 406*o**2 - 5*o**3 - 14*o**2 - o**5 + 32 - 6*o**4.
-o**2*(o - 8)*(o + 7)**2
Let q(y) = -72*y**2 + 11984*y + 8024. Let c(u) = -43*u**2 + 7190*u + 4814. Let x(g) = 12*c(g) - 7*q(g). Factor x(o).
-4*(o - 200)*(3*o + 2)
Let o = -369 - -380. Suppose o*h - 90 = -19*h. Factor -11/4*j**2 - 3*j - 1/2*j**h + 9/4.
-(j + 3)**2*(2*j - 1)/4
Let p(h) be the second derivative of -h**6/480 + h**5/12 - 25*h**4/24 - 91*h**2/2 - h - 42. Let w(q) be the first derivative of p(q). Solve w(j) = 0 for j.
0, 10
Let c(i) = -2*i**2 - 21*i + 67. Let l be c(-12). Let f(z) be the second derivative of 1/12*z**4 + 0*z**5 + 0 - 1/4*z**2 + 0*z**3 + l*z - 1/60*z**6. Factor f(d).
-(d - 1)**2*(d + 1)**2/2
Let c(l) = 3*l**3 + 6*l**2 + 6*l + 3. Let f = 249 + -240. Let x(v) = v**3 + 3*v**2 + 3*v + 1. Let u(j) = f*x(j) - 4*c(j). What is b in u(b) = 0?
-1, 1
Let z(h) be the first derivative of h**4/4 + 356*h**3 + 190104*h**2 + 45118016*h + 2257. Factor z(t).
(t + 356)**3
Let k(d) be the first derivative of 0*d - 3/8*d**4 - 10 - 1/5*d**5 - 1/24*d**6 - 5/2*d**2 - 1/3*d**3. Let c(u) be the second derivative of k(u). Factor c(q).
-(q + 1)**2*(5*q + 2)
Let p(x) be the second derivative of -x**4/20 - 2257*x**3/10 + 5898*x. Let p(i) = 0. What is i?
-2257, 0
Suppose -67*a + 53*a = -88*a - 10*a + 168. Suppose 16/5 + 4/5*m - 2/5*m**a = 0. Calculate m.
-2, 4
Let b(k) = -30*k**2 - 988*k + 66. Let l be b(-33). Determine w, given that -1/6*w**5 + 0*w + l - 3/2*w**3 - 2/3*w**2 - w**4 = 0.
-4, -1, 0
Let y(i) be the third derivative of -i**7/63 + 347*i**6/180 - 26*i**5/5 - 137*i**4/9 + 272*i**3/9 + 6146*i**2. Suppose y(v) = 0. What is v?
-1, 2/5, 2, 68
Let v(t) be the second derivative of t**6/75 - 273*t**5/25 + 109*t**4/6 - 6754*t. Factor v(j).
2*j**2*(j - 545)*(j - 1)/5
Let z(a) = -74*a**2 - 16*a - 19. Let f(v) = -42*v**2 - 8*v - 10. Let k(c) = -7*f(c) + 4*z(c). Determine u, given that k(u) = 0.
-3, -1
Let m = 159855 + -159855. Find x such that -14/9*x + 2/9*x**2 + m = 0.
0, 7
Suppose 5*x - 15 = 5*q, 4*x + q = -5 + 27. Factor -9 + 2 - 13 - x*p**2 + 6*p - 31*p.
-5*(p + 1)*(p + 4)
Suppose -j - 4*j + 4*b + 60 = 0, -4*b = 5*j - 20. Suppose 4*k + 44 = j*k. Solve 23*d - k*d**3 - 10*d**2 - 4*d - 155*d**3 - 7*d + 56*d**4 = 0.
-2/7, 0, 1/4, 3
Let b(l) be the second derivative of -l**7/84 + 49*l**6/20 - 2589*l**5/20 - 8213*l**4/12 - 5575*l**3/4 - 5625*l**2/4 - 2217*l. Let b(w) = 0. What is w?
-1, 75
Let m(x) be the first derivative of x**4/2 - 334*x**3/3 + 5329. Factor m(q).
2*q**2*(q - 167)
Factor 0*w**4 + 0 - 2/11*w**3 + 2/11*w**5 + 0*w**2 + 0*w.
2*w**3*(w - 1)*(w + 1)/11
Suppose 12*x - 28 = 10*x. Let l be (14/(-4))/(x/(-56)). Let -2 + l*q + 3*q**2 - 8*q - 7 = 0. Calculate q.
-3, 1
Determine v so that 436*v + 1243/3*v**2 + 84 - 25/3*v**4 - 4/3*v**5 + 166/3*v**3 = 0.
-6, -1, -1/4, 7
Solve -256*w + 56*w**2 - 5*w**2 - 23*w**2 - 804 - 24*w**2 = 0.
-3, 67
Let t(z) be the second derivative of -z**5/50 + 182*z**4/3 - 165620*z**3/3 + 414*z. Factor t(w).
-2*w*(w - 910)**2/5
Suppose 14 = 2*u + 2*y, 58 - 128 = -3*u - 10*y. What is t in 5/2*t**4 + u - 15*t + 5/2*t**2 + 10*t**3 = 0?
-3, -2, 0, 1
Suppose 13*k - 8*k - 60 = 0. Let c(n) = -n + 15. Let y be c(-11). Factor 12 + k*d - y*d - 4 - 2*d**2 + 20*d.
-2*(d - 4)*(d + 1)
Let b be -1 + 164/(-28) + (-19 - 1 - -19) - -10. Factor -51/7*z**2 - 12/7*z**3 + b + 48/7*z.
-3*(z - 1)*(z + 5)*(4*z + 1)/7
Factor 462/17*o + 230/17 + 2/17*o**3 + 234/17*o**2.
2*(o + 1)**2*(o + 115)/17
Suppose 23*a + 9 = 26*a. Let k be (a + (-28)/8
|
{
"pile_set_name": "DM Mathematics"
}
|
be (5/20 + (-26)/8)/d. Let h(o) = -o. Determine b*w(m) + 15*h(m).
3*m
Suppose 0 = 2*d - 8, -4*s + 4*d = d. Let q(r) = -4*r**2 + r - r - 2*r**2 - 6*r + r**s - 2. Let u(o) = -2*o**3 + 11*o**2 + 11*o + 4. Determine -11*q(k) - 6*u(k).
k**3 - 2
Let u(d) = -2*d + 7. Let m(k) = 4*k + 14. Let r(s) = 11*s + 41. Let g(j) = -17*m(j) + 6*r(j). Suppose -60 = 22*y + 94. Calculate y*u(f) + 6*g(f).
2*f - 1
Let o(r) = -21*r**2 + 6*r - 6. Suppose 5*v + 202 = 227. Let x(a) = 20*a**2 - 5*a + 5. Calculate v*o(l) + 6*x(l).
15*l**2
Let w = -244 + 246. Let x(k) = -k - 1. Let g(d) = -4*d**3 - 2*d - 2. Calculate w*x(r) - g(r).
4*r**3
Let s(v) = -v - 3. Let l(t) = -5*t**3 - 30*t**2 - 1. Let x be l(-6). Let a(b) = b. What is x*s(z) + 2*a(z)?
3*z + 3
Let w(m) = 7*m - 5. Let n(o) = -6*o + 4. Let x = -192 + 187. Give x*w(i) - 6*n(i).
i + 1
Let s(d) = 4*d + 4. Suppose 0 = 5*f - 9 - 26. Let z = 9 - f. Suppose 15 = -4*o - 13. Let k(y) = y + 1. Determine o*k(p) + z*s(p).
p + 1
Let u(n) = 7663*n**3 - 291*n**2 + 873*n. Let m(l) = 105*l**3 - 4*l**2 + 12*l. What is 291*m(j) - 4*u(j)?
-97*j**3
Let v(z) = -z - 1. Let h = 58 + -58. Suppose 3*o + 13 - 1 = 3*w, o + 3*w - 16 = h. Let c(b) = 3*b + 1. Give o*c(t) + 2*v(t).
t - 1
Let v(a) = -23*a**3 - 4*a**2 - 6*a - 6. Let g(f) = -23*f**3 - 4*f**2 - 5*f - 5. What is 6*g(p) - 5*v(p)?
-23*p**3 - 4*p**2
Let v = 2 - -8. Let u(t) = 20*t**3 + 2*t + 2. Let p be u(-1). Let f be v/(-4)*(-24)/p. Let n(w) = 1. Let h(o) = 3*o + 3. Determine f*n(i) + h(i).
3*i
Let o(i) = 8*i - 12. Let p(a) = 8*a - 14. Let c(j) = -3*o(j) + 2*p(j). Let v(x) = x - 1. Give c(h) + 6*v(h).
-2*h + 2
Let j(y) = -2*y**2 + y. Let x(d) = 2*d**3 - 3*d**2. Let r be x(2). Let c(q) = 3*q - 10. Let w be c(r). Let v(f) = 4*f**2 - 2*f + 1. What is w*v(n) + 5*j(n)?
-2*n**2 + n + 2
Let h(k) be the first derivative of -2*k**4 - 2*k**3 - 3*k**2/2 + 8*k + 17. Let u(g) = -9*g**3 - 7*g**2 - 4*g + 9. What is 7*h(q) - 6*u(q)?
-2*q**3 + 3*q + 2
Let p(b) = 4*b**2 + 3. Let y(x) = 2*x**2 - 17 - 2*x**2 - 19*x**2 - 4*x**2. Let m = 964 - 970. Calculate m*y(r) - 34*p(r).
2*r**2
Let x(o) = 28*o**2 + 13*o + 47. Let c(b) = -13*b**2 - 6*b - 23. Calculate -13*c(p) - 6*x(p).
p**2 + 17
Let z(f) = 13*f - 11*f - 1 - f. Let w = -6 + 8. Let t(k) = k**2 + 4*k - 3. Give w*t(a) - 7*z(a).
2*a**2 + a + 1
Let y(a) = a**2 + a. Let q(h) be the third derivative of 5*h**5/12 + 5*h**4/4 - 52*h**2 - 3*h. Let c(m) = -2*m + 1. Let n be c(1). Give n*q(i) + 30*y(i).
5*i**2
Let k = -1508 - -1510. Let y(u) = -1. Let c(l) = -2*l**2 + 0*l**2 + 4 + 0*l**2 - l**3. Determine k*y(o) + c(o).
-o**3 - 2*o**2 + 2
Let m(t) = 3*t**3 + 6*t + 14. Let y(i) = -i**3 - i - 1. What is m(v) + 4*y(v)?
-v**3 + 2*v + 10
Let i(d) = -252*d**2 - 56*d - 28. Let o(m) = -28*m**2 - 6*m - 3. What is 6*i(t) - 56*o(t)?
56*t**2
Let d(q) = 9*q**2 + q - 11. Let z(f) = -10*f**2 + 13. What is -7*d(i) - 6*z(i)?
-3*i**2 - 7*i - 1
Let f(d) = 20*d**2 - 3*d + 5. Let p(u) = 21*u**2 - 4*u + 5. What is -4*f(z) + 3*p(z)?
-17*z**2 - 5
Let u(y) = 14*y - 4. Let m(c) = -21*c + 6. Let b be (-6 + 16 + -3)*(2 + -1). Let z(p) = b*u(p) + 5*m(p). Let i(g) = 20*g - 6. Give -6*i(d) - 17*z(d).
-d + 2
Let j(w) = 3*w**2 + 18*w + 7. Let v(i) = -6*i**2 - 35*i - 16. Calculate 9*j(f) + 4*v(f).
3*f**2 + 22*f - 1
Let i(v) = 1 + 3*v - 5*v + 2. Let l be 63/49 - 1284/84. Let b(u) = 10*u - 14. Give l*i(w) - 3*b(w).
-2*w
Let p(s) = -11*s - 26 + 15*s - 7*s. Let m be p(-10). Let i(w) = -6*w**3 + 3*w**2 + 4*w + 4. Let t(z) = 5*z**3 - 2*z**2 - 3*z - 3. Calculate m*t(g) + 3*i(g).
2*g**3 + g**2
Let l(r) = -6*r**2 + 4. Let u(t) = -t**2 + 122*t + 1471. Let y be u(-11). Let p(q) = 10*q**2 + 0*q**2 + 7*q**2 - 11. Calculate y*l(j) + 3*p(j).
3*j**2 - 1
Let r(j) = 199*j**2 + 189*j**2 - 387*j**2 - 1. Let v(c) = -6*c**2 - 5*c + 3. Let a(y) = 11*y**2 + 9*y - 7. Let x(i) = -3*a(i) - 5*v(i). Determine 4*r(p) + x(p).
p**2 - 2*p + 2
Let p(v) = -6328*v**2 + 77*v - 77. Let b(r) = -333*r**2 + 4*r - 4. Calculate -77*b(m) + 4*p(m).
329*m**2
Let l(n) = -2*n**2 + 2*n - 5. Let g(k) = -k + 3. Calculate -6*g(o) - 2*l(o).
4*o**2 + 2*o - 8
Let w(u) = -24*u**3 + 4*u**2 + 12*u + 6. Let t(o) = -2*o**3 + o**2 + 1. Determine -6*t(i) + w(i).
-12*i**3 - 2*i**2 + 12*i
Let u(i) = 1 + 10*i - 3*i - 5*i. Let x(y) = -4*y - 1. What is 5*u(p) + 2*x(p)?
2*p + 3
Let q(w) = w + 4. Let a(b) = -3*b - 9. Let o = -19 - -51. Suppose -4*r - 2*n = 30 + 8, -4*n + o = -4*r. Calculate r*q(l) - 4*a(l).
3*l
Let z(b) = -8*b**2 - 6*b + 8. Let g(l) be the first derivative of 7*l**3/3 + 5*l**2/2 - 8*l + 365. Calculate 6*g(q) + 5*z(q).
2*q**2 - 8
Let p(x) = 234*x**2 + 4*x + 15. Let m(n) = 117*n**2 + 2*n + 6. What is -5*m(w) + 2*p(w)?
-117*w**2 - 2*w
Let q(a) = 6*a**2 + 3*a - 3. Let j(x) = -5*x**2 - 2*x + 2. Let c(s) = 8*s - 14. Let d be c(7). Let w = d - 45. What is w*j(i) - 2*q(i)?
3*i**2
Let z(q) = 118*q - 4. Let l(g) = -234*g + 11. Give 2*l(m) + 5*z(m).
122*m + 2
Let g(j) = 8*j - 4. Let r(o) be the second derivative of 0 + 11/2*o**2 - 23/6*o**3 - 8*o. Determine 17*g(u) + 6*r(u).
-2*u - 2
Let h(b) = -2*b. Let s(p) = 19*p**2 - 8*p. Give -6*h(m) + s(m).
19*m**2 + 4*m
Let k(u) = -2451*u**2 - 15*u - 15. Let i(z) = 613*z**2 + 4*z + 4. Calculate 15*i(r) + 4*k(r).
-609*r**2
Let m(y) = 7*y + 143. Let d(j) = -2*j + 1. What is 4*d(l) + m(l)?
-l + 147
Let w(d) = -4*d. Let s(g) = -g**3 + 50*g**2 - 52*g + 139. Let z be s(49). Let l(v) = 12*v. What is z*w(m) - 3*l(m)?
-4*m
Let m(y) = -y**2 + 1. Let p(b) = 2*b**2 + b - 2. Let d = 423 - 421. Calculate d*p(s) + 3*m(s).
s**2 + 2*s - 1
Let z(o) = 1. Let t(g) = 231*g - 33. Give 2*t(v) + 66*z(v).
462*v
Let z(u) = -7*u. Let x(s) be the second derivative of s**3/2 + 3*s. Let l(f) = 4*f - 91. Let b be l(24). Calculate b*x(r) + 2*z(r).
r
Let h(g) = 2*g. Let m(f) = -48*f + 3. Calculate -2*h(o) - m(o).
44*o - 3
Let x(p) = -9*p + 3. Let l(c) be the second derivative of 13*c**3/3 - 4*c**2 - 4*c. Calculate -3*l(g) - 8*x(g).
-6*g
Suppose -54*b - 109 = 53. Let y(r) = 5*r**2 - r - 1. Let m(u) = u + 1. Give b*m(x) - 3*y(x).
-15*x**2
Suppose j - 1 = -0*j. Let o(k) = 2*k**3 + 4*k**2 + k. Let v(s) = s**2. Let c(m) = m**2 + 3*m - 93. Let x be c(-11). Give j*o(g) + x*v(g).
2*g**3 - g**2 + g
Let l(z) = 2*z**2 - 3*z - 2. Suppose -5*m = -4*y + 7 - 4, 0 = -2*y - 2*m + 24. Let w(f) = -5*f**2 + 7*f + 5. What is y*l(u) + 3*w(u)?
-u**2 + 1
Let s(m) = 14*m**3 - 27*m. Let u(i) = -4*i**3 + i. Give -s(b) - 3*u(b).
-2*b**3 + 24*b
Let k(a) = 3. Let f(r) = r + 10. Suppose 0 = 4*l - 86 - 54. Suppose -88*h = -83*h - l. Give h*k(n) - 2*f(n).
-2*n + 1
Let j(x) = -3*x**3 - 14*x**2 + 8*x - 7. Let m(w) be the third derivative of w**6/60 + 3*w**5/20 - 5*w**4/24 + 5*w**3/6 - 93*w**2. Calculate 5*j(o) + 8*m(o).
o**3 + 2*o**2 + 5
Suppose 5*f - t = -10, 3*t - 26 = f - 2*t. Let k(h) = 1. Let p(v) = v**2 + v + 4. Give f*p(c) + 3*k(c).
-c**2 - c - 1
Let z(v) = -4*v**2 - 3*v + 1. Let a(s) = -14*s + 20*s - 10*s - 5*s**2 + 4 - 2. Give 3*a(j) - 4*z(j).
j**2 + 2
Let d(s) = 6*s**2 + s - 3. Let l(u) = 12*u + 80. Let v be l(-7). Suppose 0 = 3*a + 20 - 2. Let x = -1 - a. Let g(t) = 7*t**2 + t - 4. Calculate v*g(q) + x*d(q).
2*q**2 + q + 1
Let r(m) = -m**3 - m**2 - m - 1. Let y(b) = -18*b**3 + 3*b**2 - 9*b - 45. Let p(k) = -k**3 - k - 4. Let z(v) = -12*p(v) + y(v). Calculate 3*r(t) + z(t).
-9*t**3
Let c(m) = 8*m + 26. Let k(s) = -3*s - 9. Let v = 265 - 254. Calculate v*k(b) + 4*c(b).
-b + 5
Let d(o) = -368*o + 12. Let z(g) = -g + 2. Give d(a) - 6*z(a).
-362*a
Let c(h) = 25*h + 11. Let l(f) = -12*f - 5. Let g be (6 - (-820)/120) + 2/12. What is g*l(b) + 6*c(b)?
-6*b + 1
Let i(r) = -4*r - 15. Let d(h) = -h + 1. What is 5*d(a) + i(a)?
-9*a - 10
Let z(y) = -y**3 + y**2 - 9*y + 4. Let u(r) = -5*r**3 + 6*r**2 - 45*r + 22. Give 2*u(f) - 11*z(f).
f**3 + f**2 + 9*f
Let y(r) be the second derivative of r**3/6 + 2*r**2 - 5*r. Let l(j) be the second derivative of j**3/6 + 5*j**2/2 + 15*j. Determine 2*l(a) - 3*y(a).
-a - 2
Let n be 10/4*6/30*10. Let k(p) = -5*p**2 + 5*p - 5. Let l(b) = 2*b**2 - 3*b + 3. Give n*l(u) + 3*k(u).
-5*u**2
Let z(n) = -2*n**2 - 4*n - 4. Suppose 0 = 3*v - 5*b + 7, -6*v + 20 = -v - 2*b. Let x be 1*v*(-4)/6. Let w(d) = 4*d**2 + 9*d + 9. What is x*w(p) - 9*z(p)?
2*p**2
Let k(i) = 53*i**2 + 265*i - 265. Let n(u) = -u + 1. What is -3*k(j) - 795*n(j)?
-159*j**2
Let r(n) = 3*n - 4. Let
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{
"pile_set_name": "DM Mathematics"
}
|
is 249 minutes after 5:43 AM?
9:52 AM
What is 127 minutes before 3:03 PM?
12:56 PM
What is 19 minutes after 4:15 AM?
4:34 AM
What is 96 minutes before 5:37 AM?
4:01 AM
How many minutes are there between 3:16 PM and 7:11 PM?
235
How many minutes are there between 10:04 PM and 3:06 AM?
302
How many minutes are there between 6:58 PM and 3:25 AM?
507
What is 663 minutes after 4:45 PM?
3:48 AM
How many minutes are there between 4:22 AM and 3:42 PM?
680
How many minutes are there between 3:10 AM and 2:13 PM?
663
What is 560 minutes before 3:51 AM?
6:31 PM
How many minutes are there between 4:07 PM and 9:22 PM?
315
How many minutes are there between 1:56 AM and 5:02 AM?
186
How many minutes are there between 8:17 PM and 4:33 AM?
496
What is 38 minutes after 2:54 PM?
3:32 PM
What is 295 minutes after 4:48 AM?
9:43 AM
How many minutes are there between 5:57 AM and 6:53 AM?
56
What is 553 minutes after 6:11 AM?
3:24 PM
How many minutes are there between 9:42 AM and 7:00 PM?
558
How many minutes are there between 6:14 PM and 6:39 PM?
25
What is 682 minutes after 3:12 AM?
2:34 PM
What is 327 minutes after 2:44 PM?
8:11 PM
How many minutes are there between 3:22 PM and 10:30 PM?
428
How many minutes are there between 2:07 AM and 7:51 AM?
344
How many minutes are there between 3:28 AM and 1:00 PM?
572
How many minutes are there between 9:05 PM and 7:01 AM?
596
What is 341 minutes after 2:13 AM?
7:54 AM
How many minutes are there between 5:19 AM and 6:13 AM?
54
How many minutes are there between 6:28 AM and 7:57 AM?
89
What is 657 minutes after 6:08 AM?
5:05 PM
What is 302 minutes after 4:11 PM?
9:13 PM
How many minutes are there between 1:23 PM and 10:32 PM?
549
How many minutes are there between 9:28 PM and 10:04 PM?
36
What is 20 minutes after 4:58 AM?
5:18 AM
How many minutes are there between 1:02 AM and 10:22 AM?
560
How many minutes are there between 7:53 AM and 7:26 PM?
693
How many minutes are there between 9:48 PM and 9:19 AM?
691
What is 320 minutes after 7:38 PM?
12:58 AM
How many minutes are there between 4:12 AM and 6:22 AM?
130
What is 439 minutes before 3:27 PM?
8:08 AM
How many minutes are there between 6:28 AM and 10:32 AM?
244
How many minutes are there between 8:30 PM and 2:01 AM?
331
How many minutes are there between 12:36 AM and 5:28 AM?
292
How many minutes are there between 9:19 AM and 6:11 PM?
532
How many minutes are there between 12:23 AM and 5:33 AM?
310
How many minutes are there between 3:59 AM and 9:21 AM?
322
How many minutes are there between 10:37 PM and 3:32 AM?
295
How many minutes are there between 8:14 AM and 11:43 AM?
209
What is 639 minutes before 1:31 PM?
2:52 AM
How many minutes are there between 5:23 AM and 12:47 PM?
444
What is 217 minutes before 7:53 AM?
4:16 AM
What is 36 minutes before 11:23 AM?
10:47 AM
What is 344 minutes before 11:07 AM?
5:23 AM
How many minutes are there between 6:33 PM and 8:50 PM?
137
What is 466 minutes before 11:59 AM?
4:13 AM
How many minutes are there between 2:11 PM and 5:04 PM?
173
How many minutes are there between 6:43 PM and 2:20 AM?
457
What is 167 minutes before 6:45 AM?
3:58 AM
How many minutes are there between 9:35 PM and 9:29 AM?
714
What is 505 minutes before 5:17 PM?
8:52 AM
What is 54 minutes before 2:37 PM?
1:43 PM
What is 481 minutes after 7:46 PM?
3:47 AM
What is 10 minutes before 11:24 PM?
11:14 PM
How many minutes are there between 7:46 AM and 9:14 AM?
88
How many minutes are there between 11:43 PM and 11:05 AM?
682
What is 421 minutes before 12:20 AM?
5:19 PM
How many minutes are there between 11:39 AM and 6:51 PM?
432
What is 53 minutes after 5:36 AM?
6:29 AM
What is 705 minutes before 9:47 AM?
10:02 PM
How many minutes are there between 10:02 PM and 3:15 AM?
313
How many minutes are there between 4:22 AM and 3:19 PM?
657
What is 572 minutes before 4:16 AM?
6:44 PM
What is 526 minutes before 6:26 AM?
9:40 PM
How many minutes are there between 12:20 PM and 7:19 PM?
419
What is 430 minutes after 10:20 AM?
5:30 PM
How many minutes are there between 9:09 AM and 4:09 PM?
420
What is 254 minutes before 11:03 AM?
6:49 AM
What is 472 minutes before 9:19 PM?
1:27 PM
What is 373 minutes before 12:18 AM?
6:05 PM
What is 597 minutes after 7:15 AM?
5:12 PM
What is 663 minutes after 1:16 AM?
12:19 PM
What is 176 minutes before 9:57 AM?
7:01 AM
How many minutes are there between 7:26 AM and 1:19 PM?
353
What is 6 minutes after 2:04 PM?
2:10 PM
How many minutes are there between 8:12 PM and 3:37 AM?
445
How many minutes are there between 6:47 PM and 12:10 AM?
323
What is 223 minutes after 4:35 PM?
8:18 PM
What is 443 minutes after 11:41 PM?
7:04 AM
How many minutes are there between 10:01 PM and 4:57 AM?
416
How many minutes are there between 11:24 AM and 9:12 PM?
588
How many minutes are there between 8:31 PM and 6:28 AM?
597
How many minutes are there between 9:53 AM and 3:59 PM?
366
What is 223 minutes before 6:30 AM?
2:47 AM
What is 373 minutes before 10:54 PM?
4:41 PM
How many minutes are there between 6:12 PM and 10:15 PM?
243
What is 690 minutes after 1:20 AM?
12:50 PM
What is 609 minutes before 4:06 AM?
5:57 PM
How many minutes are there between 12:09 PM and 4:00 PM?
231
What is 110 minutes after 4:22 PM?
6:12 PM
How many minutes are there between 1:37 AM and 12:53 PM?
676
What is 104 minutes after 6:36 AM?
8:20 AM
What is 254 minutes after 7:43 AM?
11:57 AM
What is 657 minutes after 1:18 AM?
12:15 PM
What is 360 minutes after 10:02 AM?
4:02 PM
How many minutes are there between 7:18 PM and 6:45 AM?
687
How many minutes are there between 11:05 PM and 6:06 AM?
421
How many minutes are there between 4:57 PM and 10:41 PM?
344
How many minutes are there between 4:45 AM and 1:43 PM?
538
What is 387 minutes after 9:58 PM?
4:25 AM
How many minutes are there between 3:01 AM and 9:35 AM?
394
What is 391 minutes after 10:26 PM?
4:57 AM
What is 485 minutes after 3:31 AM?
11:36 AM
What is 386 minutes after 5:28 AM?
11:54 AM
What is 88 minutes after 1:46 AM?
3:14 AM
How many minutes are there between 2:35 AM and 9:21 AM?
406
What is 211 minutes before 4:44 AM?
1:13 AM
How many minutes are there between 9:13 PM and 7:09 AM?
596
How many minutes are there between 9:19 AM and 6:18 PM?
539
How many minutes are there between 5:27 AM and 10:04 AM?
277
How many minutes are there between 3:10 AM and 8:52 AM?
342
How many minutes are there between 2:02 AM and 12:13 PM?
611
What is 38 minutes after 11:32 AM?
12:10 PM
What is 591 minutes after 11:37 PM?
9:28 AM
What is 391 minutes after 2:00 PM?
8:31 PM
How many minutes are there between 9:24 AM and 7:02 PM?
578
How many minutes are there between 6:38 PM and 8:25 PM?
107
What is 429 minutes before 4:25 PM?
9:16 AM
How many minutes are there between 9:50 PM and 6:15 AM?
505
What is 154 minutes after 3:38 PM?
6:12 PM
How many minutes are there between 5:15 AM and 3:58 PM?
643
How many minutes are there between 8:23 PM and 9:45 PM?
82
How many minutes are there between 6:18 AM and 8:42 AM?
144
How many minutes are there between 9:22 AM and 4:10 PM?
408
How many minutes are there between 4:17 PM and 6:52 PM?
155
How many minutes are there between 9:51 AM and 6:41 PM?
530
What is 597 minutes after 12:00 PM?
9:57 PM
What is 692 minutes after 3:42 PM?
3:14 AM
How many minutes are there between 7:03 AM and 9:39 AM?
156
How many minutes are there between 12:27 PM and 3:20 PM?
173
What is 490 minutes after 1:40 AM?
9:50 AM
What is 482 minutes before 4:09 AM?
8:07 PM
What is 547 minutes after 11:21 AM?
8:28 PM
What is 582 minutes after 8:51 PM?
6:33 AM
What is 624 minutes after 11:04 AM?
9:28 PM
How many minutes are there between 6:48 PM and 12:48 AM?
360
What is 539 minutes after 2:37 AM?
11:36 AM
What is 345 minutes before 3:53 AM?
10:08 PM
What is 564 minutes after 10:37 AM?
8:01 PM
How many minutes are there between 12:24 AM and 8:25 AM?
481
How many minutes are there between 3:19 AM and 2:58 PM?
699
What is 197 minutes after 8:42 AM?
11:59 AM
How many minutes are there between 9:32 AM and 10:34 AM?
62
What is 76 minutes before 8:49 PM?
7:33 PM
What is 171 minutes before 7:46 PM?
4:55 PM
What is 175 minutes after 6:43 AM?
9:38 AM
What is 623 minutes after 12:34 PM?
10:57 PM
What is 175 minutes after 10:49 AM?
1:44 PM
How many minutes are there bet
|
{
"pile_set_name": "DM Mathematics"
}
|
40058 - 529.
253741.40058
What is 225 + 3930572400?
3930572625
What is 1568693569320 plus 0.2?
1568693569320.2
What is the distance between 0.083 and -145026685913?
145026685913.083
Sum -1365057280979 and 0.08.
-1365057280978.92
What is 0.0309 - -378466948016?
378466948016.0309
Work out -1942206461 - -8.5.
-1942206452.5
What is 290058.742 - -4609?
294667.742
What is -13462013.9 - -43163?
-13418850.9
What is -577.3931 minus 892009?
-892586.3931
Calculate 214 + 605576293.
605576507
What is 97723121 minus -222649?
97945770
Subtract -0.7461 from 60752245.1.
60752245.8461
What is 12.974 + -189114.4?
-189101.426
What is -114547614654 plus 1?
-114547614653
Subtract -1687 from -9885227.
-9883540
Calculate -1293536674253 - 0.
-1293536674253
What is the distance between 342261884908 and 0.3?
342261884907.7
What is the distance between -20387233.54 and 292?
20387525.54
What is -0.036479 minus 117731714?
-117731714.036479
Add together 38.44 and 284926610.1.
284926648.54
Add -2 and 48583334.
48583332
Calculate 221127 - 373395.
-152268
1 + 75.8545289392
76.8545289392
What is 1110.9 + -45411485?
-45410374.1
Calculate -9995865677.385 - 22.
-9995865699.385
Add together 53552992 and -60193.3.
53492798.7
What is 0.21412 minus 2102074819?
-2102074818.78588
Subtract -0.22621 from 54876.4298.
54876.65601
What is -1.19892228 take away -6.1475?
4.94857772
-0.26 - -0.2522140815
-0.0077859185
What is 0.6 less than 217199211143?
217199211142.4
Sum 0.2 and -480985274157.
-480985274156.8
Calculate 33 + -104604.860049.
-104571.860049
-420778183 - -0.15
-420778182.85
What is 3 plus 106.99483102769?
109.99483102769
Subtract 0.3 from 1674672368797.
1674672368796.7
What is the difference between -686478 and -9690705?
9004227
What is 3346795780 less than 0.1?
-3346795779.9
Work out -1.83811 - -1431036.
1431034.16189
What is -2 less than -213545464520.8?
-213545464518.8
What is -30862589.535 - 9.4?
-30862598.935
What is -595698 take away 0.84559995?
-595698.84559995
Put together 83497156.96 and -12542.
83484614.96
What is 1528261 take away 8.7605?
1528252.2395
Sum -11.21 and 52929738193.
52929738181.79
What is -0.103811977093 + 6.9?
6.796188022907
Add together 0.1 and -44.915283414678.
-44.815283414678
Add -43139636232 and -159.
-43139636391
Calculate -1 - -26804.9866185885.
26803.9866185885
4+-0.17739077921
3.82260922079
Sum 3959785 and -9791611.
-5831826
What is -407926 - -0.1136588118?
-407925.8863411882
What is the difference between -2 and 117654355082122?
117654355082124
What is 0.05730497559493 - 5?
-4.94269502440507
Add 16 and -4224146756.
-4224146740
2809625207204 - 0.015
2809625207203.985
Add together -6862674 and -222.302.
-6862896.302
What is 287.3 less than -4936464985?
-4936465272.3
What is -557.7576 minus 30742?
-31299.7576
What is the distance between 13233006494 and -0.0101?
13233006494.0101
What is 10482678853 plus -0.2907?
10482678852.7093
What is 30.35711831 + -116?
-85.64288169
Work out 1432558 + 92.27.
1432650.27
What is -2574.6 - -0.567432196?
-2574.032567804
Calculate -103373470733 - -0.2.
-103373470732.8
Add -40566766 and -0.00372.
-40566766.00372
Put together -0.027852 and 27.461588.
27.433736
Work out 121746.5067 + 24835.
146581.5067
What is the distance between -1739823201834 and 42?
1739823201876
Work out 10357 + -47078425.
-47068068
Work out 113782209 + -31478.
113750731
Add 1439205.19562 and 1.5.
1439206.69562
What is the distance between -5820197 and 8479.9277?
5828676.9277
What is -114223453428 take away -0.74?
-114223453427.26
What is the distance between 3066447498 and 207.12?
3066447290.88
Add together 11 and -37457598349.36.
-37457598338.36
What is the difference between -1107105797811 and -413?
1107105797398
What is -6.1557164373 less than 0.03?
6.1857164373
Calculate -1221 - 125106504236.
-125106505457
Calculate -5570472 - -3747.3882.
-5566724.6118
-2379943.81679 - 1.1
-2379944.91679
What is -0.03086762907 minus -17741?
17740.96913237093
What is -0.118385646816 plus 3?
2.881614353184
Work out 58008210804 - -2.
58008210806
Calculate -192360985 + 24.24.
-192360960.76
Work out -13.6133887761 - -0.2.
-13.4133887761
What is -4033885480 less than -1.46?
4033885478.54
Work out -9 + -70553565931984.
-70553565931993
What is -145 + -871784.133394?
-871929.133394
Add together 271886334.1 and -0.018255.
271886334.081745
What is -175.31508 minus -499346?
499170.68492
Work out 0.075249 + -30.93826.
-30.863011
-228462 - 0.22864164
-228462.22864164
Total of 52 and 585018965271.
585018965323
Work out 26 - -157858279.7642.
157858305.7642
Sum -1248.3147262 and -12179.
-13427.3147262
What is -1010948 take away -47.0493252?
-1010900.9506748
What is -1974903691 + -0.55?
-1974903691.55
Total of -8.5 and 96476.3786249.
96467.8786249
What is -10.131965183 take away -1?
-9.131965183
What is the distance between 1.34 and 322293298?
322293296.66
51.3 + 49321.849
49373.149
Calculate -5673529608 + 0.77419.
-5673529607.22581
229 - -605.8605649
834.8605649
-482531.3606 - 3452.48
-485983.8406
Subtract -1335.118395745 from -1.
1334.118395745
What is 11379.03437156 minus 6?
11373.03437156
What is 1.2 take away -0.0579459882035?
1.2579459882035
What is the distance between 3.3 and 13150.5740143?
13147.2740143
What is the difference between -594509210.27 and 52.39?
594509262.66
0.211964238078 - -2.54
2.751964238078
Sum -5.312 and 183681.31239.
183676.00039
Calculate 2.9025787538 - 9433.
-9430.0974212462
What is 251944 less than 1653083?
1401139
Subtract -0.69752951 from 991.
991.69752951
What is the difference between -4.90779311 and -4716.24?
4711.33220689
What is the distance between -380039.849 and -518?
379521.849
-3330+128637915
128634585
What is -8729132 - 196982.3?
-8926114.3
Sum 729884588 and -140.
729884448
Calculate -1754314098 - 11076.
-1754325174
2820304186716 + -0.1
2820304186715.9
Subtract -27.91819 from -5375303.
-5375275.08181
Subtract -841248966.461 from -398.
841248568.461
-121388763.08 + 0.13
-121388762.95
What is -82025972.7 - -1720?
-82024252.7
Subtract -51167145147 from 0.01.
51167145147.01
What is -188 take away -10894523683?
10894523495
Add -2841 and 1302979863.
1302977022
What is the distance between -127390749634 and 0.5?
127390749634.5
Sum 0.1 and 3287745.425.
3287745.525
0.4 - -172930301454
172930301454.4
Work out -336.043 - -12.34865093.
-323.69434907
What is -131 less than 0.07477866019?
131.07477866019
What is -8200630978614 plus -0.5?
-8200630978614.5
Total of -1.709 and 0.020285883.
-1.688714117
Total of -7 and -524.623200008.
-531.623200008
What is the distance between -447328 and -1561948?
1114620
Calculate 1.55 - -24687.554358.
24689.104358
-1231775 - -256011
-975764
538239605+409
538240014
What is 0.06 take away 56399856622?
-56399856621.94
10674.5 + 45597.76
56272.26
Calculate 33522403.0803 - -0.213.
33522403.2933
Work out -2924.383559 - 0.6.
-2924.983559
Subtract 224.8261213 from -1727.
-1951.8261213
What is -1191200122 less than 0.1?
1191200122.1
What is -4590.769 plus -381.08?
-4971.849
What is -103 take away 15332287499?
-15332287602
Work out -27.1 + -14808475.2.
-14808502.3
Sum -108.542883958 and 52.9.
-55.642883958
What is -54.882718768 + -1.2?
-56.082718768
What is 236323.38 less than -2306766?
-2543089.38
Total of 21375504 and -333595.3.
21041908.7
What is 131.178181471 less than 0.08?
-131.098181471
Total of -494051523 and 2.62.
-494051520.38
23044011.04 - -7.53
23044018.57
What is 0.1 minus 4045284718.618?
-4045284718.518
What is -0.3 minus -236825748648?
236825748647.7
185.0442021 + -2722
-2536.9557979
Calculate -0.36742 + 12228.85734.
12228.48992
What is -43504779022 - -0.01?
-43504779021.99
-240.345+0.2077675276
-240.1372324724
What is -1918592 plus -1264.46?
-1919856.46
What is -0.42 minus -1158877423078?
1158877423077.58
What is 58675419.57 - 0.0926?
58675419.4774
What is -718998877573 + 1.48?
-718998877571.52
Put together -220.334 and 665278.
665057.666
-125376894+0.435776
-125376893.564224
Work out -30 + 3010099900.
3010099870
What is the difference between -149350193.7991 and -0.2?
149350193.5991
Calculate 290372720 - -117.
290372837
Calculate -10232530348.9 - 789.
-10232531137.9
Work out 79.52 + 692.6101821.
772.1301821
What is 5562556606032 take away -36?
5562556606068
0.08 + 249817407.3
249817407.38
Subtract -1816
|
{
"pile_set_name": "DM Mathematics"
}
|
Let c be -14 - ((-948)/36 - -12). Factor -c*p**2 - 14/3*p - 49/3.
-(p + 7)**2/3
Factor 2/15*v**2 + 184/15 + 18/5*v.
2*(v + 4)*(v + 23)/15
Suppose b = -5*j - 2, -8 = 5*j - b + 5*b. Suppose 0*s + 0 + 0*s**4 + j*s**2 + 2/7*s**5 - 2/7*s**3 = 0. Calculate s.
-1, 0, 1
Let w be (-518)/(-630) + 6/(-27). Let i(q) be the first derivative of -3/2*q**4 - w*q**5 + 0*q**2 - q**3 + 0*q + 8. Factor i(t).
-3*t**2*(t + 1)**2
Let v(l) be the second derivative of -3*l + 0*l**2 + 0 - 1/20*l**5 + 0*l**3 - 1/6*l**4. Let v(h) = 0. What is h?
-2, 0
Solve -145 + i**5 + 240*i**4 + 9600*i**3 + 145 + 128000*i**2 + i**5 = 0 for i.
-40, 0
Let v(u) be the first derivative of -2/45*u**5 + 1 + 0*u - 1/9*u**4 + 0*u**2 + 0*u**3. What is w in v(w) = 0?
-2, 0
Let k be 720/1400 + (-4)/(-70). Suppose -8/7*n**2 - k + 2/7*n**3 + 10/7*n = 0. Calculate n.
1, 2
Suppose 3*h = -4*i - 0*h - 38, -h + 2 = 0. Let v = i + 14. Suppose 36*u**2 + 50*u**v - 5*u**3 + 15*u**4 - 12*u - 3*u**4 = 0. What is u?
-2, 0, 1/4
Let k be 6 - 3*1/(-3). Let s(m) be the second derivative of -m + 0*m**2 + 0 + 0*m**4 - 1/30*m**6 - 1/42*m**k + 0*m**3 + 1/10*m**5. Factor s(w).
-w**3*(w - 1)*(w + 2)
Let m be (-1 + 2/(-4))*96/(-36). Suppose 0 = s + x - 2 - 2, 5*x = -m*s + 18. Find o, given that 2/11*o**4 + 0*o**3 + 0*o - 2/11*o**s + 0 = 0.
-1, 0, 1
Let f(o) be the first derivative of -2*o**5/5 + 9*o**4/2 + 28*o**3/3 - 36*o**2 - 80*o + 373. Suppose f(i) = 0. Calculate i.
-2, -1, 2, 10
Let q(o) be the first derivative of o**5/25 - o**4/5 + 2*o**3/5 - 2*o**2/5 - 22*o - 16. Let b(t) be the first derivative of q(t). Let b(k) = 0. What is k?
1
Let u(j) be the first derivative of -j**5/140 - j**4/56 - 9*j**2/2 + 7. Let m(s) be the second derivative of u(s). Factor m(o).
-3*o*(o + 1)/7
Let g(t) = t - 21 - 2*t + 8 + 2. Let o be g(-15). Suppose 0*x + 0*x**3 + 1/2*x**o + 0*x**2 + 0 = 0. Calculate x.
0
Let j(q) be the third derivative of -q**7/105 - 13*q**6/120 - 2*q**5/5 - 17*q**4/24 - 2*q**3/3 + 4*q**2 - 2*q. Factor j(u).
-(u + 1)**2*(u + 4)*(2*u + 1)
Let j be -23 - (-1568)/70 - (-51)/35. Suppose -4/21 - 2/3*d + j*d**2 = 0. Calculate d.
-2/9, 1
Let t(r) be the second derivative of 1/48*r**7 + 0 + 13*r + 1/20*r**6 + 0*r**2 + 0*r**3 + 3/160*r**5 - 1/48*r**4. Solve t(j) = 0 for j.
-1, 0, 2/7
Let o be (-248)/186*(-9)/16. Factor 3/4*d**4 + 1/4*d**5 - 1/2*d**2 - 1/4 + 1/2*d**3 - o*d.
(d - 1)*(d + 1)**4/4
Let o(w) be the first derivative of -w**5/5 - w**4 + 10*w**3/3 - 7*w**2 + 5*w + 2. Let h(q) = q**3 + q**2. Let l(s) = 10*h(s) + 5*o(s). What is i in l(i) = 0?
-5, 1
Factor 4*z**4 + 291*z**3 - 3*z**4 - z**4 + 2*z**4 + 6050*z**2 - 71*z**3.
2*z**2*(z + 55)**2
Let k(w) be the third derivative of w**6/360 - w**5/180 + 31*w**2. Suppose k(i) = 0. What is i?
0, 1
Suppose -2*y + 1 = -29. Let -6*t**3 + y - 10 - 9 + 6*t + 4*t**3 = 0. What is t?
-2, 1
Suppose 1/5*g**2 + 19/5*g + 84/5 = 0. Calculate g.
-12, -7
Factor -27/2*w + 3/4*w**4 - 27/4 + 3/2*w**3 - 6*w**2.
3*(w - 3)*(w + 1)**2*(w + 3)/4
Let g(o) be the first derivative of -3/16*o**4 - 5/12*o**3 - 7 - 1/4*o**2 + 0*o. Factor g(s).
-s*(s + 1)*(3*s + 2)/4
Let z(g) be the second derivative of -g**4/24 - 17*g**3/6 - 289*g**2/4 - 2*g + 30. Find w such that z(w) = 0.
-17
Let x(g) be the third derivative of g**8/336 + g**7/210 - g**6/120 - g**5/60 + 58*g**2 + 2. Determine a so that x(a) = 0.
-1, 0, 1
Let g(y) be the first derivative of y**4/4 - y**3/3 - y**2/2 + 6. Let b(x) = -4*x**3 + 7*x**2 + 5*x. Let f(l) = 3*b(l) + 15*g(l). Factor f(s).
3*s**2*(s + 2)
Let p(v) be the second derivative of -v**8/33600 + v**7/6300 + v**4/2 - 4*v. Let n(y) be the third derivative of p(y). Factor n(w).
-w**2*(w - 2)/5
Let t(w) be the first derivative of -w**3/2 - 61*w**2/4 + 21*w + 1. Suppose t(p) = 0. What is p?
-21, 2/3
Let d(j) be the first derivative of 3*j**5/4 - 29*j**4/16 + 11*j**3/12 + 5*j**2/8 - j/2 - 456. Determine a, given that d(a) = 0.
-2/5, 1/3, 1
Let n = 13010/9753 + -2/3251. Factor 10/3*s**2 - n*s + 0 + 2/3*s**4 - 8/3*s**3.
2*s*(s - 2)*(s - 1)**2/3
Let v(z) be the second derivative of -z**7/42 + z**6/15 + 3*z**5/20 - 2*z**4/3 + 2*z**3/3 + 181*z. Solve v(b) = 0.
-2, 0, 1, 2
Let d be (-174)/4*(1 - -1). Let a = d - -263/3. What is t in 0*t + a - 1/6*t**2 = 0?
-2, 2
Let c(a) be the second derivative of -a**6/6 - 8*a**5 - 425*a**4/4 + 80*a**3/3 + 640*a**2 + 37*a - 1. Factor c(f).
-5*(f - 1)*(f + 1)*(f + 16)**2
Let b be 14/8 + ((-1105)/52)/(-17). Factor -6/5 + 8/5*c + 4/5*c**2 - 8/5*c**b + 2/5*c**4.
2*(c - 3)*(c - 1)**2*(c + 1)/5
Let h(p) be the first derivative of -2*p**6/3 - 28*p**5/5 - 16*p**4 - 32*p**3/3 + 32*p**2 + 64*p + 48. Determine d, given that h(d) = 0.
-2, 1
Let n = -413 + 422. Let p(g) be the third derivative of -n*g**2 + 1/15*g**3 + 1/40*g**4 + 1/300*g**5 + 0 + 0*g. Factor p(v).
(v + 1)*(v + 2)/5
Factor 1/3*t**3 + 2 + 11/3*t + 2*t**2.
(t + 1)*(t + 2)*(t + 3)/3
Let t = -2/4875 + 2927/4875. Factor t*n**2 - 9/5*n - 12/5.
3*(n - 4)*(n + 1)/5
Let y(s) be the first derivative of -3 - 3/4*s**4 + 0*s**3 + 3/2*s**2 + 0*s. Determine v so that y(v) = 0.
-1, 0, 1
Determine s so that 0 + 0*s**4 - 8/3*s**2 - 2/3*s**5 + 6*s**3 - 8*s = 0.
-3, -1, 0, 2
Let y(f) = f - 1. Let u be y(4). Suppose 0 = -u*w + 10 - 1. Suppose -38 + 12*b**w + 6*b + 15*b**2 + 38 + 3*b**4 = 0. What is b?
-2, -1, 0
Let n(u) = -2*u**3 + 31*u**2 + 51*u + 3. Let m be n(17). Suppose 1/3 + 2/3*o**m + 7/3*o + 14/3*o**2 - 3*o**5 - 5*o**4 = 0. What is o?
-1, -1/3, 1
Factor 68*w - 20*w**4 + 20*w**2 + 28*w - w**5 + 4*w - 99*w**3.
-w*(w - 1)*(w + 1)*(w + 10)**2
Let c(x) be the second derivative of -x**5/60 + 5*x**4/12 + x**3/18 - 5*x**2/2 - 8*x + 1. Solve c(r) = 0.
-1, 1, 15
Let k = 14155 + -14155. Factor 6*o**2 - 3/2*o**4 - 12*o + k + 3*o**3.
-3*o*(o - 2)**2*(o + 2)/2
Let f(k) be the second derivative of -k**4/4 + 171*k**3 - 87723*k**2/2 + 30*k - 2. Factor f(u).
-3*(u - 171)**2
Let t(j) be the second derivative of 1/8*j**3 + 2*j + 0*j**2 - 17 - 1/48*j**4. Determine o so that t(o) = 0.
0, 3
Let t(w) = w**3 + 4*w**2 - 5*w - 7. Let k be t(-5). Let z(j) = j + 7. Let d be z(k). Factor 3/4*i**5 - 3/4*i + d + 0*i**3 - 3/2*i**4 + 3/2*i**2.
3*i*(i - 1)**3*(i + 1)/4
Let v be ((-43)/3 - -1)*187/(-1496). Factor -v*j**2 + 7/3*j - 2/3.
-(j - 1)*(5*j - 2)/3
Let o be (-120)/(-308) - 32/(-176). Factor -10/7*f**4 + o - 26/7*f**3 - 18/7*f**2 + 2/7*f.
-2*(f + 1)**3*(5*f - 2)/7
Let w(i) be the second derivative of i**7/2520 - i**6/360 - i**5/360 + i**4/24 - 19*i**3/6 - 52*i. Let z(m) be the second derivative of w(m). Solve z(c) = 0.
-1, 1, 3
Factor 70*a**2 + 5 - 5*a**3 - 165 - 40*a**2.
-5*(a - 4)**2*(a + 2)
Let z = 8 + 4. Let x(y) = -60*y**4 - 164*y**3 - 96*y**2 - 4*y. Let d(f) = f. Let c(t) = z*d(t) - x(t). Solve c(l) = 0 for l.
-2, -2/5, -1/3, 0
Let u be ((-112)/6)/(-4) - (-6)/(-9). Suppose -15 = -3*i + 4*f, -i + 1 = -5*f - u. Factor 1/3*o**i + o**4 - 1/3 + 2/3*o**3 - o - 2/3*o**2.
(o - 1)*(o + 1)**4/3
Let y = 179/6 + -689/24. Solve -y*k + 0 - 3/8*k**2 = 0 for k.
-3, 0
Factor -2974*w**2 + 4*w**3 + 2974*w**2 - 4*w**5.
-4*w**3*(w - 1)*(w + 1)
Let l(h) be the second derivative of -h**4/20 - 3*h**3/5 + 24*h**2/5 + 119*h - 3. Let l(a) = 0. What is a?
-8, 2
Let a = 13 + -17. Let w = 6 + a. Factor -y + y**2 + 4*y**2 - 6*y**w.
-y*(y + 1)
Suppose 99/7 - 3/7*p**3 + 75/7*p - 27/7*p**2 = 0. What is p?
-11, -1, 3
Let k(f) be the second derivative of f**6/72 - f**5/12 - 2*f**3/3 - 12*f. Let o(x) be the second derivative of k(x). Factor o(n).
5*n*(n - 2)
Let t(s) be the third derivative of s**9/13608 + s**8/2520 + s**7/1260 + s**6/1620 - 5*s**3/6 - 15*s**2. Let b(g) be the first derivative of t(g). Factor b(p).
2*p**2*(p + 1)**3/9
Let o(a) be the third derivative of -a**7/70 - 3*a**6/8 + 13*a**5/5 - 9*a**4/2 + a**2 + 7*a. Factor o(l).
-3*l*(l - 2)*(l - 1)*(l + 18)
Let b(k) be the second derivative of -k**4/84 - 3*k**3/14 + 11*k**2/7 + k + 477. Factor b(y).
-(y - 2)*(y + 11)/7
Let b(u) be the third derivative of -u**5/45 + u**4/2 - 4*u**3 + 24*u**2. Determine n so that b(n) = 0.
3, 6
Let t be (-21)/(-18) - ((-44)/24 - -3). Factor -j - 1/3*j**3 + t + 4/3*j**2.
-j*(j - 3)*(j - 1)/3
Let v be ((-4)/(-6))/((360/81)/10). Let a(m) be the first derivative of -v*m + 7/16*m**4 + 4/3*m**3 - 3 - 17/8*m**2. Solve a(x) = 0 for x.
-3, -2/7, 1
Let n(k) be the third derivative of -k**5/210 - 9
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{
"pile_set_name": "DM Mathematics"
}
|
27
What is the k'th term of -69601, -69522, -69443?
79*k - 69680
What is the m'th term of -266, -577, -1026, -1685, -2626, -3921, -5642, -7861?
-12*m**3 + 3*m**2 - 236*m - 21
What is the s'th term of -24204, -48291, -72380, -96471?
-s**2 - 24084*s - 119
What is the j'th term of 2355, 4374, 6383, 8382, 10371, 12350?
-5*j**2 + 2034*j + 326
What is the v'th term of -24919, -24295, -23679, -23071, -22471, -21879, -21295?
-4*v**2 + 636*v - 25551
What is the j'th term of -896, -7568, -25690, -60992, -119204?
-955*j**3 + 5*j**2 - 2*j + 56
What is the x'th term of 9010, 9020, 9044, 9088, 9158, 9260, 9400?
x**3 + x**2 + 9008
What is the i'th term of -33588132, -67176257, -100764382, -134352507, -167940632, -201528757?
-33588125*i - 7
What is the z'th term of 91521, 185678, 279835, 373992?
94157*z - 2636
What is the t'th term of 42438, 42522, 42688, 42978, 43434, 44098, 45012, 46218?
7*t**3 - t**2 + 38*t + 42394
What is the r'th term of 1574, 1202, 812, 404?
-9*r**2 - 345*r + 1928
What is the k'th term of 476229, 3809801, 12858071, 30478389, 59528105, 102864569?
476225*k**3 - k**2 + 5
What is the f'th term of -1873, -4160, -6447, -8734, -11021, -13308?
-2287*f + 414
What is the m'th term of -271, -462, -563, -574, -495?
45*m**2 - 326*m + 10
What is the y'th term of 11665982, 23331986, 34997990, 46663994?
11666004*y - 22
What is the g'th term of 30633, 125593, 283869, 505467, 790393, 1138653, 1550253?
g**3 + 31652*g**2 - 3*g - 1017
What is the l'th term of 698, 3742, 10818, 23564, 43618, 72618?
273*l**3 + 378*l**2 - l + 48
What is the h'th term of 45327, 181153, 407487, 724329, 1131679?
45254*h**2 + 64*h + 9
What is the j'th term of -38501736, -77003475, -115505214, -154006953, -192508692?
-38501739*j + 3
What is the s'th term of 4333, 4233, 4137, 4045, 3957, 3873?
2*s**2 - 106*s + 4437
What is the z'th term of 32228, 64589, 96954, 129323, 161696, 194073, 226454?
2*z**2 + 32355*z - 129
What is the t'th term of 25587447, 51174923, 76762399, 102349875?
25587476*t - 29
What is the s'th term of -2214, -1670, 1624, 7668, 16462, 28006?
1375*s**2 - 3581*s - 8
What is the r'th term of -260347, -1041068, -2342275, -4163968, -6506147, -9368812, -12751963?
-260243*r**2 + 8*r - 112
What is the q'th term of 8744, 69518, 234344, 555248, 1084256, 1873394, 2974688?
8671*q**3 + 77*q - 4
What is the c'th term of 4558707, 9117398, 13676089, 18234780, 22793471?
4558691*c + 16
What is the s'th term of 1042466, 1042460, 1042454, 1042448, 1042442, 1042436?
-6*s + 1042472
What is the p'th term of 18589, 37951, 57313, 76675?
19362*p - 773
What is the v'th term of 1194, 2285, 3236, 4053, 4742, 5309, 5760?
v**3 - 76*v**2 + 1312*v - 43
What is the f'th term of 2451045, 4902087, 7353129, 9804171, 12255213?
2451042*f + 3
What is the f'th term of 1703854, 6815423, 15334706, 27261703, 42596414?
1703857*f**2 - 2*f - 1
What is the z'th term of 155225, 155139, 155053, 154967, 154881?
-86*z + 155311
What is the o'th term of -7211, -16449, -27719, -41015, -56331?
o**3 - 1022*o**2 - 6179*o - 11
What is the d'th term of -11209, -10923, -10639, -10357, -10077?
-d**2 + 289*d - 11497
What is the f'th term of -628934, -2515774, -5660506, -10063130?
-628946*f**2 - 2*f + 14
What is the w'th term of -1725201, -3450292, -5175383, -6900474, -8625565, -10350656?
-1725091*w - 110
What is the z'th term of -2572, -2981, -3676, -4801, -6500, -8917?
-24*z**3 + z**2 - 244*z - 2305
What is the d'th term of -14981, -30228, -45521, -60884, -76341?
-4*d**3 + d**2 - 15222*d + 244
What is the x'th term of -2834, -1536, -286, 892, 1974, 2936, 3754, 4404?
-4*x**3 + 1326*x - 4156
What is the r'th term of 691832, 691848, 691874, 691910, 691956, 692012?
5*r**2 + r + 691826
What is the m'th term of -7496, -22024, -46240, -80150, -123760, -177076, -240104?
-m**3 - 4838*m**2 - 7*m - 2650
What is the h'th term of -328263, -328262, -328271, -328296, -328343, -328418?
-h**3 + h**2 + 5*h - 328268
What is the q'th term of 591, 4802, 16255, 38574, 75383?
604*q**3 - 3*q**2 - 8*q - 2
What is the y'th term of 10351393, 10351377, 10351361, 10351345, 10351329, 10351313?
-16*y + 10351409
What is the r'th term of 38323, 153259, 344807, 612967, 957739, 1379123?
38306*r**2 + 18*r - 1
What is the n'th term of -1197, -1862, -1747, -462, 2383, 7178, 14313?
65*n**3 - 1120*n - 142
What is the q'th term of 874445, 874434, 874415, 874388?
-4*q**2 + q + 874448
What is the k'th term of -975125, -975107, -975091, -975077, -975065?
-k**2 + 21*k - 975145
What is the m'th term of -33265, -65921, -98577, -131233?
-32656*m - 609
What is the s'th term of -74306, -74116, -73798, -73352, -72778, -72076, -71246?
64*s**2 - 2*s - 74368
What is the m'th term of -65452, -65442, -65432, -65422?
10*m - 65462
What is the l'th term of -868448, -1736494, -2604540?
-868046*l - 402
What is the d'th term of 120047, 120764, 121481?
717*d + 119330
What is the u'th term of -10375, -8389, -6413, -4453, -2515, -605, 1271, 3107?
-u**3 + u**2 + 1990*u - 12365
What is the g'th term of 151290, 151213, 151136, 151059?
-77*g + 151367
What is the b'th term of 63831, 128390, 192947, 257502, 322055?
-b**2 + 64562*b - 730
What is the x'th term of 187819, 752186, 1692797, 3009652?
188122*x**2 + x - 304
What is the k'th term of -30580544, -30580545, -30580546?
-k - 30580543
What is the o'th term of 1059, -7431, -21581, -41391, -66861, -97991, -134781?
-2830*o**2 + 3889
What is the x'th term of -3052, -8627, -16720, -27331, -40460, -56107, -74272?
-1259*x**2 - 1798*x + 5
What is the g'th term of -217854994, -435709990, -653564986, -871419982, -1089274978, -1307129974?
-217854996*g + 2
What is the l'th term of 339135, 678378, 1017621?
339243*l - 108
What is the p'th term of -19399, -19081, -18763, -18445, -18127?
318*p - 19717
What is the v'th term of -2696, -10174, -22432, -39476, -61312, -87946?
-v**3 - 2384*v**2 - 319*v + 8
What is the z'th term of -46789727, -46789734, -46789741, -46789748?
-7*z - 46789720
What is the s'th term of 716994, 1433934, 2150876, 2867820, 3584766, 4301714?
s**2 + 716937*s + 56
What is the s'th term of 2289537, 2289501, 2289463, 2289423, 2289381?
-s**2 - 33*s + 2289571
What is the q'th term of 108285, 217274, 326263, 435252, 544241, 653230?
108989*q - 704
What is the f'th term of -4246679, -8493336, -12739993, -16986650, -21233307?
-4246657*f - 22
What is the s'th term of -47462, -380746, -1285364, -3046982, -5951266, -10283882?
-47611*s**3 - s**2 - 4*s + 154
What is the a'th term of 7927, 7509, 7077, 6625, 6147?
-a**3 - a**2 - 408*a + 8337
What is the y'th term of 838, 1775, 3346, 5551, 8390, 11863, 15970?
317*y**2 - 14*y + 535
What is the z'th term of 4815, 4445, 3965, 3375?
-55*z**2 - 205*z + 5075
What is the x'th term of -4614, -25154, -80902, -189462, -368438, -635434, -1008054, -1503902?
-2934*x**3 - 2*x - 1678
What is the c'th term of 570, 1198, 1878, 2610, 3394?
26*c**2 + 550*c - 6
What is the y'th term of -254456, -508868, -763244, -1017566, -1271816?
3*y**3 - 254433*y - 26
What is the c'th term of -73797655, -73797656, -73797657, -73797658, -73797659?
-c - 73797654
What is the f'th term of -98352582, -98352592, -98352602, -98352612, -98352622, -98352632?
-10*f - 98352572
What is the z'th term of 38382, 39064, 39748, 40434, 41122, 41812, 42504?
z**2 + 679*z + 37702
What is the b'th term of 1212666483, 2425332966, 3637999449, 4850665932, 6063332415, 7275998898?
1212666483*b
What is the u'th term of -1232, -2261, -3050, -3563, -3764, -3617?
6*u**3 + 84*u**2 - 1323*u + 1
What is the a'th term of -760685, -760674, -760663, -760652, -760641?
11*a - 760696
What is the p'th term of -4408, -4300, -4034, -3538, -2740?
12*p**3 + 7*p**2 + 3*p - 4430
What is the y'th term of -5715760, -45725980, -154325130, -365807674, -714468076, -1234600800, -1960500310?
-5715744*y**3 - y**2 - 9*y - 6
What is the j'th term of -6735510, -6735514, -6735516, -6735516, -6735514, -6735510, -6735504?
j**2 - 7*j - 6735504
What is the l'th term of -133396, -144124, -154852?
-10728*l - 122668
What is the v'th term of 11870, 11985, 12100, 12215, 12330?
115*v + 11755
What is the s'th term of 29962, 59808, 89654, 119500, 149346?
29846*s + 116
What is the o'th term of 186, 415, 772, 1317, 2110, 3211?
10*o**3 + 4*o**2 + 147*o + 25
What is the c'th term of 3122, 7328, 11556, 15812, 2
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3176. Let k = i + -153/91. Which is smaller: k or 0.1?
k
Suppose i = -4 + 5. Suppose -3*v - 4 = -i. Is v bigger than 2?
False
Let b = 0 - -0.2. Let g = b - 1. Let m = g - -1.1. Is m smaller than -0.1?
False
Let s be -1 - (0 - (-3 - -19)). Let m = 8 - s. Which is smaller: m or -5?
m
Suppose -5 - 4 = c - 2*z, -3 = -3*z. Let o be 1 + -1 + 2/c. Suppose 5*k - 2 = 3. Which is bigger: o or k?
k
Let g(w) be the second derivative of w**3/6 - w**2/2 - 2*w. Let c be g(1). Let j be 1*(c + 0 + 1). Is j >= 1/6?
True
Suppose 0*w = -w + 4*a + 13, 2*a = 4*w - 66. Does 18 = w?
False
Suppose 0 = -0*b + 4*b. Let r(y) = y**2 + y - 4. Let i be r(b). Which is bigger: -2 or i?
-2
Let o be (-10)/6 + (-1)/3. Let j = 22446 - 89175/4. Let b = -154 + j. Is o equal to b?
False
Suppose 0 = 5*p + 31 + 34. Let v = 15 + p. Is 2 less than v?
False
Let b(c) = 4*c - 45. Let i be b(20). Are i and 34 unequal?
True
Let k = -9.9 - -10. Is 2/59 smaller than k?
True
Let x be (-253)/(-1155) - (-2)/(-15). Is x smaller than 0?
False
Let f = -6 - -13. Suppose 0 = -4*v - 2*o, -v + 3*o = -3*v - 8. Suppose f*r = v*r. Is r greater than 1/2?
False
Suppose l - 5*m - 21 = 0, 3*m = 4*l - 13 - 3. Is l equal to -5?
False
Let x = -38 + 41. Is x > 3?
False
Let k = -0.3 - -3.3. Let m = k - 1.9. Let b = m - 1. Is 0.2 at most b?
False
Let i(d) = -d**2 - 9*d + 8. Let l be i(-10). Which is smaller: -4 or l?
-4
Suppose -5 = -f, -2*f - f = -5*s - 130. Suppose 0*q - 4*q = 100. Let v be s/(-5) - (-15)/q. Which is smaller: v or 5?
v
Let m be 4/14*(-3 - 2*-5). Which is smaller: m or 0.4?
0.4
Let r(x) be the second derivative of 13*x**3/6 + x**2 - 5*x. Let l be r(1). Is l at least as big as 14?
True
Suppose v = 5*v - 12. Suppose v*x + x = -4. Let m be ((-4)/4)/1*(-4 + 3). Which is smaller: x or m?
x
Suppose -2*u + 3 = -3, -3*o = -2*u - 21. Let i be (18/8)/(o/(-24)). Suppose 0 = 11*r + 25 + 30. Which is bigger: i or r?
r
Let c = 23 - 22.5. Which is bigger: -0.1 or c?
c
Let s(y) = -y**3 - 9*y**2 + 12*y + 21. Let d be s(-10). Which is bigger: d or 13/7?
13/7
Let j = 277 - 2213/8. Suppose 2*o + 5*y = -o + 23, -4*o = -y. Is o at most as big as j?
False
Suppose 5*u + 14 = z + 42, 4*u - 16 = 4*z. Suppose -2*i = 5*y - 34 + u, -3*y + 8 = -i. Is 4 less than or equal to i?
True
Let v(a) = -11*a**2 + 8*a - 5. Let f(r) = -4*r**2 + 3*r - 2. Let c(w) = 8*f(w) - 3*v(w). Let m be c(2). Is m less than 5/2?
False
Let q = 0.6 - 0.6. Let p = q - 0. Which is smaller: p or 1?
p
Let t = 8 + -12. Let r be 6/t - (-5)/10. Is -6/11 less than or equal to r?
False
Let g = -5.11 + 0.11. Let c = 1.06 - 0.06. Is c less than or equal to g?
False
Let d(o) = o**2 + 4*o - 2. Let u be d(-5). Let z be (-2)/u*18/20. Is -2/9 less than z?
False
Suppose -9 = -t + 3*f, -2*t + 3*f - 22 = 7*f. Let i be (2/15)/(t/9). Let r be (-2)/8 - (-4)/16. Which is smaller: i or r?
i
Let y(f) = -f**3 - 3*f**2 + 2. Let r be y(-3). Are 0 and r equal?
False
Let r = -0.01 + 0.11. Suppose p - 2*p + 5*j = 26, 4*p + 29 = 5*j. Which is greater: r or p?
r
Suppose 3*z = 13 - 19. Is 75 bigger than z?
True
Let z be (-1)/(-3) - (-118)/6. Suppose 4*n - o = -5*o - z, 5 = 3*n - 2*o. Which is smaller: 2/9 or n?
n
Suppose 5*t - 2*y + 3 - 11 = 0, -t + 4*y = 2. Is 16/7 <= t?
False
Let k = 26 + -18. Let w = -5 + k. Which is smaller: 3/2 or w?
3/2
Let x be (-288)/880 + (-4)/10. Do x and -1 have different values?
True
Suppose -2 = 3*s + w, 2*w = -s - w + 10. Let m be 5/(-3) + (-1 - s). Is m less than -2?
False
Let i = 22899/4 + -5687. Suppose -3*v - 114 = -l, -v + l - 76 = v. Let f = v + i. Which is smaller: -1 or f?
-1
Let i = -2/3371 + -6600/239341. Are -1 and i non-equal?
True
Suppose -5*p + 4*p = 1. Suppose -2*j - 6 = j. Are j and p nonequal?
True
Let r(x) = x**2 - 8*x - 8. Let k be r(9). Are k and 1/10 nonequal?
True
Let a(o) = o**3 - 5*o**2 - 6*o - 5. Suppose v + 30 = 6*v. Let n be a(v). Let l = -1 + -3. Which is greater: l or n?
l
Let u = 33.9 + -33.8. Let i = -3 - -3.8. Which is greater: u or i?
i
Let d(a) = -2 - 2*a**2 - 2*a - 13*a**2 + a. Let b be d(-2). Let l be ((-4)/b)/(6/10). Which is smaller: l or 0.1?
0.1
Let i = 36 + -39. Suppose 0 = v - 2*v. Are v and i non-equal?
True
Suppose -6*v + v - 25 = 0. Let x(l) = l + 10. Let d be x(v). Is d at least 5?
True
Let q = 5 - 2. Which is greater: 2 or q?
q
Let l be (-3)/((-6)/(-4)) - 3. Let v(q) = q**3 - 4*q**3 - 5*q**2 + 2*q**3. Let a be v(l). Does a = -1?
False
Let k(y) = y**3 + 3*y**2 - 6*y - 5. Let d be k(-4). Is 5 equal to d?
False
Let h = -398 - -2791/7. Suppose 0*g + 2*g = 2. Is h <= g?
True
Let i = 967 + -39650/41. Is 1 != i?
True
Suppose 6*l = -0*l - 192. Is l at least as big as -33?
True
Let d(s) = -4*s + 3. Let f(v) = 3*v - 3. Let a(k) = 4*d(k) + 5*f(k). Let y be a(-8). Let q = 8 - y. Is 4 at most q?
False
Let g(w) = -7*w**2 + 2*w - 1. Let u be g(2). Let m be (5/u)/(1*-1). Is m at most as big as 1?
True
Let u = 34 - 104/3. Suppose 0 = 3*q - 4*n + 15, 0*q - 20 = 4*q - 2*n. Let t = -2 - q. Is u at most as big as t?
True
Let m = -89 - -151. Is 1 != m?
True
Let d(y) = -y**3 + 5*y**2 - 2*y + 6. Let x be d(5). Let a be 161/196 + 1/x. Is a at most as big as 1?
True
Let c be (2/4)/(3/(-6)). Which is smaller: -2/27 or c?
c
Suppose 5*z + 7*f - 2*f - 20 = 0, -4*f = -z - 1. Let h = 4 - 5. Let o = h + 3. Is z at least as big as o?
True
Suppose 0 = -y + 3*v + 2, -7*y - 2*v + 10 = -2*y. Let m be ((-8)/(-2))/((-2)/y). Let d be 2/(-6) - (-2)/(-3). Is d > m?
True
Let d = 13 + -19. Is d smaller than -6?
False
Let u = -11 - -6. Let z = -3 - u. Is z at most 0.2?
False
Let x(b) = 4*b**2. Let g be x(-1). Suppose g*t - 20 = -0*t. Suppose 5 = 5*i + 3*f, -4*i - 5*f - 1 + t = 0. Which is smaller: i or -2/11?
-2/11
Let m = 9/30968 + -1071121/1765176. Let k = m + 2/57. Which is smaller: k or -1?
-1
Let n = 90 + -64. Suppose 0*c = -3*o + 2*c - n, -5*o - 50 = -2*c. Is o less than or equal to -13?
False
Let o be (1 - (-3)/9)*-3. Let x(i) = -i**3 - 2*i**2 + 7*i + 5. Let f be x(o). Which is greater: 10 or f?
10
Let y = 14 + -12. Let q be ((-12)/(-6))/(-12 + y). Which is bigger: q or 0.1?
0.1
Let t = 23 + -12. Which is bigger: t or 0?
t
Let p = 17 + -17. Which is smaller: 9 or p?
p
Let r be 4 + -1 + (1 - 0). Suppose 4*v + 25 = -v. Let c(l) = -l**3 - 6*l**2 - 6*l - 1. Let i be c(v). Is i less than r?
False
Let m be (3/4)/((-2)/8). Let u = -3 - m. Let b be 4*(-3)/42*-1. Is u at least as big as b?
False
Let v = 8.9 + -9. Let t = 0.24 + 0.06. Which is smaller: t or v?
v
Let k be (3/14)/(8/(-28)). Let s(a) = -a**3 + 5*a**2 + 7*a - 6. Suppose -4*f + 4 = -20. Let x be s(f). Does x = k?
False
Suppose -3 + 7 = -4*c. Let o be ((-2 - c)*-1)/(-1). Let j(d) = d**3 + 4*d**2 + 3*d. Let p be j(-2). Which is greater: p or o?
p
Let d be (-52)/(-105) - (-24)/(-60). Is d smaller than -0.1?
False
Let x(y) = y + 1. Let q be x(-1). Let l be (5/20)/(-1) - -1. Is l > q?
True
Let v be 10/(-72)*23/5. Let n = 47/18 - 5/2. Let d = v - n. Which is smaller: d or -2?
-2
Let q(x) = -36*x**3. Let b be q(-1). Let r be 3/(-2)*(-4)/b. Is 0 != r?
True
Let h = 0.1 - 0.3. Let n(q) = 5*q - 3. Let s be n(3). Let v = 47/4 - s. Is v > h?
False
Let z be (-13)/3 - (-2)/6. Let p be 1/2 + 2/z. Is p > 0?
False
Let g(k) = 3*k + 9. Let l be g(8). Suppose 4*t + l = 5*s, s + 18 = 3*s - 4*t. Let z be s + 0*1/3. Which is greater: z or 4?
z
Suppose 4*c - 3*w = -3, 8*w - 3*w - 10 = 5*c. Suppose -5*a + 2 = -c*a. Which is bigger: 0 or a?
a
Let t = 10 - 7. Let a be t/(-54)*4/(-2). Which is greater: a or 0?
a
Let y be -6*((-6)/(-9) + (-41)/30). Is y at most 3?
False
Suppose 7 = -n - 0*n. Let m(z) = -z**2 - 7*z + 3. Let l be m(-7). Let y be 2/3*l/n. Is y greater than 2/11?
False
Let v be 12/(-7) + 2/1. Let c = -5 + 3. Which is smaller: c or v?
c
Let f = 1.58 + -1.4. Which is greater: f or -1/2?
f
Suppose 7*c = -3*c + 180. Is 18 greater than c?
False
Let m = -122 - -116. Which is smaller: m or -4?
m
Let l be (-12)/9*2/8. Which is smaller: 5 or l?
l
Let s be (-1)/(6/4 - 1). Let n be -2 - 1/2*s. Suppose -9 = -f - 5*y, -4*f = y - 3 + 5. Is f at least n?
True
Let s be (27/(-24))/(1/(-2)). Let n = -15.1 - -15. Which is smaller: s or n?
n
Let k(n) = 1 + 0 - n - 2. Let o be k(1). Let u = 4 + -7. Which is greater: o or u?
o
Let y = -10 + 9. Let d = -205 + 2257/11. Which is greater: y or d?
d
Let h be (-2)/(-4) - (2 - 2). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ime number?
False
Is 62461 a composite number?
True
Is 11677 composite?
False
Is 32987 a composite number?
False
Is 41719 a composite number?
False
Is 304881 a prime number?
False
Is 299329 a prime number?
True
Is 18533 composite?
True
Is 41729 prime?
True
Is 272171 a composite number?
False
Is 14255 a prime number?
False
Is 8147 a composite number?
False
Is 1048153 composite?
True
Is 10231 prime?
False
Is 37397 prime?
True
Is 488119 a prime number?
True
Is 1693 prime?
True
Is 136622 composite?
True
Is 4699 a prime number?
False
Is 198031 composite?
False
Is 71983 a composite number?
False
Is 1187 a prime number?
True
Is 576983 prime?
False
Is 278051 a prime number?
True
Is 84817 a composite number?
True
Is 66821 prime?
True
Is 955 prime?
False
Is 15793 a composite number?
True
Is 5981 a composite number?
False
Is 10643 a prime number?
False
Is 27719 a prime number?
False
Is 4327 a composite number?
False
Is 45233 composite?
False
Is 109229 composite?
False
Is 4253 a prime number?
True
Is 874402 prime?
False
Is 155201 composite?
False
Is 29789 a composite number?
False
Is 886421 a prime number?
True
Is 5731 composite?
True
Is 5723 composite?
True
Is 1880093 prime?
True
Is 1003189 a prime number?
False
Is 1009 a composite number?
False
Is 7621 prime?
True
Is 127 a composite number?
False
Is 553769 prime?
True
Is 220501 composite?
True
Is 228007 composite?
True
Is 75931 prime?
True
Is 125519 a prime number?
False
Is 12047 composite?
True
Is 303217 a prime number?
True
Is 98081 a composite number?
False
Is 191147 composite?
True
Is 150779 prime?
True
Is 11629 a composite number?
True
Is 9019 composite?
True
Is 89861 composite?
True
Is 106391 prime?
True
Is 601753 composite?
True
Is 96569 a prime number?
False
Is 4358 prime?
False
Is 8223 composite?
True
Is 37429 a prime number?
False
Is 178013 prime?
False
Is 767362 a prime number?
False
Is 19973 composite?
False
Is 2205703 a composite number?
False
Is 129 a composite number?
True
Is 7067 prime?
False
Is 311117 prime?
False
Is 74541 prime?
False
Is 40601 composite?
True
Is 2657 a prime number?
True
Is 319289 a prime number?
True
Is 32842 a composite number?
True
Is 157019 composite?
False
Is 246097 prime?
True
Is 20105 composite?
True
Is 133153 prime?
True
Is 1298149 composite?
False
Is 26063 a composite number?
True
Is 3838597 a prime number?
False
Is 519907 prime?
True
Is 1733 a composite number?
False
Is 797 composite?
False
Is 3551 prime?
False
Is 108497 prime?
True
Is 538871 prime?
True
Is 347489 a prime number?
True
Is 817 prime?
False
Is 765409 prime?
True
Is 3419501 a prime number?
False
Is 12295 prime?
False
Is 141385 a prime number?
False
Is 255353 a prime number?
False
Is 591 a composite number?
True
Is 4831 composite?
False
Is 28641 a prime number?
False
Is 7715 a composite number?
True
Is 2333 prime?
True
Is 71035 composite?
True
Is 1040831 composite?
True
Is 2855791 prime?
True
Is 722741 a composite number?
True
Is 286441 composite?
True
Is 4861 a prime number?
True
Is 831731 prime?
True
Is 866858 a composite number?
True
Is 23109 composite?
True
Is 629539 a prime number?
False
Is 14759 a composite number?
False
Is 8391 a composite number?
True
Is 130994 a composite number?
True
Is 28685 a prime number?
False
Is 33379 a prime number?
False
Is 114047 a composite number?
True
Is 4283 composite?
False
Is 407 a prime number?
False
Is 1529 a prime number?
False
Is 5039 a composite number?
False
Is 1305371 composite?
False
Is 17077 a prime number?
True
Is 71515 a prime number?
False
Is 835369 a prime number?
True
Is 8663 prime?
True
Is 1439 composite?
False
Is 39733 a composite number?
False
Is 143053 prime?
True
Is 31343 a prime number?
False
Is 3163 a prime number?
True
Is 45941 a prime number?
False
Is 242191 a composite number?
True
Is 1175803 a prime number?
True
Is 36523 prime?
True
Is 992179 a composite number?
False
Is 2051 composite?
True
Is 4391 composite?
False
Is 5483 composite?
False
Is 2436209 a composite number?
False
Is 113989 a prime number?
True
Is 9411 composite?
True
Is 32677 a prime number?
False
Is 5447 prime?
False
Is 36987 a prime number?
False
Is 295967 a prime number?
False
Is 447179 a composite number?
False
Is 62221 a prime number?
False
Is 121567 composite?
True
Is 19678 composite?
True
Is 94469 prime?
False
Is 414479 composite?
True
Is 11579 a composite number?
False
Is 62614 composite?
True
Is 106999 prime?
False
Is 2380141 a prime number?
True
Is 185951 prime?
True
Is 1155821 prime?
True
Is 13535 a prime number?
False
Is 6463 prime?
False
Is 1429159 composite?
True
Is 58009 a composite number?
True
Is 46919 a prime number?
True
Is 643778 a prime number?
False
Is 27223 a composite number?
True
Is 1058377 composite?
False
Is 331 a prime number?
True
Is 48667 prime?
False
Is 50173 prime?
False
Is 121909 a composite number?
False
Is 1014181 a prime number?
False
Is 3641 a prime number?
False
Is 17239 a prime number?
True
Is 97863 composite?
True
Is 113317 a prime number?
False
Is 2203 composite?
False
Is 911 prime?
True
Is 13259 prime?
True
Is 469 prime?
False
Is 10211 a composite number?
False
Is 7793 a prime number?
True
Is 99961 composite?
False
Is 9661 composite?
False
Is 35669 prime?
False
Is 131117 a composite number?
True
Is 16579 a prime number?
False
Is 667519 prime?
True
Is 192965 a composite number?
True
Is 107441 a prime number?
True
Is 11213 composite?
False
Is 609853 a prime number?
False
Is 13094 a composite number?
True
Is 135661 a composite number?
False
Is 23699 prime?
False
Is 51619 a prime number?
False
Is 13235 a prime number?
False
Is 311677 a composite number?
False
Is 260483 composite?
False
Is 8997 composite?
True
Is 115337 prime?
True
Is 100033 prime?
False
Is 13817 a prime number?
False
Is 213415 a composite number?
True
Is 3862 prime?
False
Is 5669 prime?
True
Is 127051 a composite number?
False
Is 3819887 composite?
True
Is 256271 a prime number?
False
Is 555557 composite?
False
Is 81013 a prime number?
True
Is 572773 composite?
True
Is 56841 a prime number?
False
Is 151421 composite?
True
Is 151597 prime?
True
Is 61107 a prime number?
False
Is 13411 composite?
False
Is 56011 composite?
True
Is 4621 prime?
True
Is 157 a composite number?
False
Is 573 prime?
False
Is 11657 prime?
True
Is 47041 composite?
False
Is 1537 prime?
False
Is 78745 a composite number?
True
Is 23957 prime?
True
Is 16321 a composite number?
True
Is 575821 a composite number?
False
Is 6863 prime?
True
Is 17551 a prime number?
True
Is 10831 a composite number?
False
Is 28199 a prime number?
False
Is 93397 composite?
True
Is 40577 prime?
True
Is 68135 a composite number?
True
Is 1029907 a prime number?
True
Is 38371 a composite number?
False
Is 13087 a composite number?
True
Is 101663 composite?
False
Is 20369 a prime number?
True
Is 59315 composite?
True
Is 24221 prime?
False
Is 7237 a prime number?
True
Is 1594 a composite number?
True
Is 58657 a composite number?
False
Is 4453 a prime number?
False
Is 26581 prime?
False
Is 31718 a composite number?
True
Is 1496257 composite?
True
Is 77207 composite?
True
Is 205 composite?
True
Is 382843 a prime number?
True
Is 6839 composite?
True
Is 14281 composite?
False
Is 316763 a prime number?
False
Is 182051 prime?
False
Is 2921 a composite number?
True
Is 183247 a prime number?
True
Is 11311 composite?
False
Is 161221 a prime number?
True
Is 453819 a prime number?
False
Is 53983 a composite number?
True
Is 46135 composite?
True
Is 267181 a composite number?
True
Is 29837 a prime number?
True
Is 1111 composite?
True
Is 55049 composite?
False
Is 71569 a composite number?
False
Is 166457 a composite number?
False
Is 5683 a prime number?
True
Is 220291 prime?
True
Is 71543 prime?
False
Is 28139 a prime number?
False
Is 586 composite?
True
Is 149 composite?
False
Is 57413 composite?
False
Is 26029 prime?
True
Is 117307 prime?
True
Is 39881 a composite number?
True
Is 585313 prime?
True
Is 38879 composite?
True
Is 1060549 a prime number?
False
Is 170219 prime?
False
Is 76231 prime?
True
Is 322849 composite?
False
Is 2702459 a composite number?
True
Is 279221 composite?
False
Is 23033 composite?
True
Is 13829 composite?
False
Is 152509 a composite number?
True
Is 24439 a composite number?
False
Is 13777 a prime number?
Fal
|
{
"pile_set_name": "DM Mathematics"
}
|
9045, 2*t - 9*b - 2151 = 2312. What is the remainder when t is divided by 84?
79
What is the remainder when 2482 is divided by (15 - (-276)/(-18))*-39?
12
Let h(t) = 3*t**3 - 38*t**2 - 102*t - 19. Calculate the remainder when 749 is divided by h(15).
21
Calculate the remainder when 79 is divided by 80 + (-4)/10*10/4.
0
Let q be -1 - -1 - (-90 + -28). Suppose -3*f - q = -4*d, 5*d - d + 4*f = 104. What is the remainder when 107 is divided by d?
23
Let n(w) = 391*w - 302. What is the remainder when n(9) is divided by 37?
35
Suppose 17*v - 3531 = 1263. Let t = 404 - v. What is the remainder when t is divided by 21?
17
Suppose -5*a + j = -0*j - 8, 2 = -4*a - 2*j. What is the remainder when 53 is divided by 16/64*(76 + 0)*a?
15
Suppose 0 = -3*v - x + 4, 0 = -8*v + 4*v + 2*x + 22. Suppose 4*t + w - 42 + 16 = 0, 0 = v*t + 4*w - 13. What is the remainder when t is divided by 1?
0
Let d(j) be the second derivative of j**5/20 - 7*j**4/12 - 31*j**2/2 - 24*j. Calculate the remainder when d(9) is divided by 9.
5
Suppose 4*o = -0*i - 2*i + 60, -3*o = -i + 40. Let g = 40 - i. What is the remainder when 31 is divided by (2/4)/(g/132)?
9
Suppose 0 = -i - 2*p + 10 + 23, -5*i + p + 88 = 0. What is the remainder when 5043 is divided by i?
8
Let v = 0 + 4. Suppose -224 = -4*p - 4*n, -p = 5*n - n - 53. Suppose p = -3*k + v*k. Calculate the remainder when k is divided by 15.
12
Let p = 8065 - 7609. What is the remainder when p is divided by 164?
128
What is the remainder when 592 is divided by (-12)/((-6 - (-180)/27)*(-9)/30)?
52
Suppose 0 = 5*y + 4*g - 341, 5*y - 234 = -2*g + 109. Calculate the remainder when 606 is divided by y.
54
Let i(p) = 2 + 4 + 4*p - 8*p**2 + 5*p**2 + 4*p**2. Let l be i(-2). Suppose -5*o - l + 27 = 0. Calculate the remainder when 19 is divided by o.
4
Calculate the remainder when 3570 is divided by (3472/(-140) + 25)/((-1 + 2)/95).
17
Let q be ((-39)/26)/((-6)/8). Suppose -y - 5*w - 6 = 0, -w - 18 = -3*y + q*w. Suppose -48 = -y*j - 0. Calculate the remainder when 57 is divided by j.
9
Let c(t) = -286*t + 13. Let g be c(6). Let l = g - -2397. Calculate the remainder when l is divided by 87.
85
Let b = -7504 - -4368. Calculate the remainder when b/(-21) + 15/9 is divided by 19.
18
Let l be (4 - 5) + (0 - -1). Suppose 3*g = -l*g + 42. What is the remainder when g is divided by -7*(-18)/63 + (-8)/32*-28?
5
Let s be 24/56 - (-23130)/(-70). Let o = 687 + s. Calculate the remainder when o is divided by 52.
45
Suppose -6*j - 13*j + 16656 = -7*j. Calculate the remainder when j is divided by 67.
48
Let k = 1301 + -1251. Suppose -2*l = 27 - 47. Calculate the remainder when k is divided by l.
0
Let x = 543 + -627. Let n = x - -358. Calculate the remainder when n is divided by 46.
44
Let t(h) = 5*h + 156. Let n be t(-31). Suppose i - 6 = 3. Suppose i = l - n. What is the remainder when l is divided by 4?
2
Suppose -549 = n + 4*n + 3*t, 335 = -3*n + t. Suppose -6*g - 41 - 757 = 0. Let y = n - g. What is the remainder when 52 is divided by y?
8
Let h(m) = -2*m + 36. Let y be h(15). What is the remainder when (-284)/(-6) - 1*(-5)/(-15) is divided by y + (-5 - -3 - 4/(-1))?
7
What is the remainder when 5 + (-4403)/34*-62 is divided by 47?
44
Let o = -5 - -27. Let z be (112/560)/((-19)/10 + 2). Suppose 4*t + 3*y - 29 = 0, -2*t - z*y - 7 = -23. What is the remainder when o is divided by t?
2
Suppose 0 = -p + 3*p - 38. Let l be 0/(12/(-18)*(0 - 3)). Suppose l = -25*z + 538 + 2287. Calculate the remainder when z is divided by p.
18
What is the remainder when (-1)/(15/(38700/(-6))) is divided by 146?
138
Suppose -5*r + 252 = 16*r. Calculate the remainder when (9/(54/r))/((-2)/(-167)) is divided by 4.
3
Let f(i) = 55*i + 5. Let n = 55 + -12. Let c = -14 + n. Calculate the remainder when f(2) is divided by c.
28
Let q be 712/(-24)*(18 - 0). Let u = 559 + q. Calculate the remainder when 98 is divided by u.
23
What is the remainder when (-25)/(-40)*(172/4 - 3) is divided by 6?
1
Let h = -9 + 14. Let m = h - 3. Suppose 0 = m*p + 8*p - 980. Calculate the remainder when p is divided by 33.
32
Suppose -2351 = -6*a - 2*a - 439. Calculate the remainder when a is divided by 116.
7
Let q(a) = a**2 - 31*a - 16. Let r be q(35). Suppose -5*d + 115 = 5*s, 0 = 5*s - 5*d + d - r. What is the remainder when 34 is divided by s?
10
Let q(c) = -c**2 - 9*c + 105. Let z be q(-21). Let p = -115 - z. Calculate the remainder when p is divided by 25.
7
Suppose 8 = -0*v - 4*v + 4*l, -14 = -2*v - 4*l. Let o(t) = 43*t. What is the remainder when o(v) is divided by 15?
13
Calculate the remainder when 710 is divided by (-16 + 1)*(-26)/52*1398/15.
11
Let p = 6607 - 6551. Calculate the remainder when p is divided by (168/(-7))/(-1 - 0).
8
Let q(r) = 20*r**2 + 23*r + 68. Let z(v) = 7*v**2 + 8*v + 23. Let g(b) = 6*q(b) - 17*z(b). Calculate the remainder when 68 is divided by g(-4).
18
Let z = 93 + -64. What is the remainder when -13*272/(-442)*(1 + 22/4) is divided by z?
23
Suppose 4568 = 8*f + 2584. Calculate the remainder when f is divided by 55.
28
Let d(k) = k**2 - 31*k - 44. Suppose -v = 2*v - 108. What is the remainder when d(34) is divided by v?
22
Let h be (-7 + 4)*2 - 0. Calculate the remainder when 70 is divided by (h/(-4))/(234/(-60) - -4).
10
Let b be 0 + 3/6*-8. Let t(g) = g**3 + 3*g**2 + 3*g - 4. Let s be t(b). Calculate the remainder when (s + 1)*(-16 - -15) is divided by 17.
14
Let h be -269*(-6)/(-18)*-3. Let q = h + -260. Calculate the remainder when 260 is divided by q.
8
Let f(y) = -304*y - 83. Calculate the remainder when f(-3) is divided by 52.
49
Let f = -95 - -96. Let z(s) = 6*s + 3. Let r = 18 + 0. Calculate the remainder when r is divided by z(f).
0
Let z(x) = 82*x + 76. Let i be z(-6). Let o = 441 + i. Calculate the remainder when 85 is divided by o.
10
Let y be ((-33)/5)/(5/25). What is the remainder when 129 is divided by 1/((-2)/12)*242/y?
41
Let b = 9055 + -2060. Calculate the remainder when b is divided by 212.
211
Suppose -2*s - 3*s = -20. Suppose 4*d = r + 4*r - 272, -s*d = 4*r - 196. What is the remainder when r is divided by ((-144)/20)/(48/(-120))?
16
Suppose 4*u + 5*n - 7 - 175 = 0, -u + 3*n + 37 = 0. Let o = -10 + u. Let l(c) = -11*c**3 - 2*c**2 + 2*c + 2. Calculate the remainder when o is divided by l(-1).
6
Let r = 79 - 75. Suppose -r*q = 20, w - 5*q = 18 + 14. Suppose -u - w = 5*n - 0, 2*n = -4. What is the remainder when 11 is divided by u?
2
Suppose 18*n = 28*n - 940. Let o = 94 - -88. What is the remainder when o is divided by n?
88
Suppose 2*v = 4*a + 2750, -10*a = -3*v - 7*a + 4116. What is the remainder when v is divided by 4?
1
Let b(q) = 9*q - 4. Let i(a) = 4*a**2 - 59*a - 42. What is the remainder when i(20) is divided by b(11)?
93
Let b(w) = 23*w - 5. Calculate the remainder when b(4) is divided by (304 - 79)*(-2)/(-10).
42
Let s = -5526 + 9366. Calculate the remainder when s is divided by 183.
180
Suppose 400 = 1516*l - 1500*l. What is the remainder when 1421 is divided by l?
21
What is the remainder when (24/(-44) + 20860/(-275))*(-5)/2 is divided by 57?
20
Let d(c) = 30*c**2 + 126*c - 5. What is the remainder when d(4) is divided by 102?
61
Suppose 2*y = 5*i - y - 1241, -2*i + 491 = -3*y. What is the remainder when 534 is divided by i?
34
Let j(i) = 31*i - 2954. Calculate the remainder when 15353 is divided by j(96).
19
Suppose 5*i = 2*k - 8, 3 = 2*k - 7*k + i. Let c(u) = -568*u + 4551. What is the remainder when (k - 5)/(-3) - -25 is divided by c(8)?
6
Let z be (-10)/(-15)*(-9)/2 + 7. Suppose -3*t + 28 = -5*c + 6*c, z*t - 30 = -5*c. Calculate the remainder when ((-19)/2)/(2/(-4)) is divided by t.
9
Let t be 13/6 + 10/(-60). Let m be 5/t*2*-1. Calculate the remainder when 99 is divided by (410/(-25) - (-3)/m)/(-1).
14
Let p(m) = 12*m - 16. Let k(r) = 6*r - 8. Let z(b) = 5*k(b) - 2*p(b). Let t = 101 - 24. Calculate the remainder when t is divided by z(4).
13
Let x be ((-6)/(-4))/(5/10). Suppose w = -x*h + 7*h + 6247, -3121 = 2*h - 3*w. What is the remainder when h/(-18) - (-2)/9 is divided by 22?
21
Let x be (-5 + 66/12)*(-2 - -14). Calculate the remainder when 51 + 0*x/(-54) is divided by 30.
21
Let u(m) = m**3 - 3*m - 13. Let h be u(-2). What is the remainder when 3594/(-12)*30/h is divided by 121?
115
Let s(d) = -94*d + 777. Calculate the
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 50. Suppose -j = f - 5, u*j + a = 5*f - 3*j. List the prime factors of f.
5
Let t = 13 - 8. List the prime factors of (12/t)/((-6)/(-20)).
2
Let x(q) = -28*q - 1. Let h be x(-1). Suppose 2*s = -s + h. Let o = 16 - s. What are the prime factors of o?
7
Suppose -31 = -4*h - i, 3*h + 3*i - 7 - 14 = 0. List the prime factors of h.
2
Suppose 2*r + 0*r + 744 = 5*x, x = 4*r + 156. What are the prime factors of x?
2, 37
Suppose 0 = -4*u - 3*f + 16, -3*f = -17 + 5. Let n(m) = -m + 1. Let p(b) = -8*b**2 - 6*b + 5. Let t(z) = 4*n(z) - p(z). What are the prime factors of t(u)?
3
Let v(g) = -4*g - 3. Suppose 0*y = -y - 2. What are the prime factors of v(y)?
5
Let g = 22 + 16. Suppose 0*t = -2*t + 2*h + 56, t + 4*h - g = 0. List the prime factors of t.
2, 3, 5
What are the prime factors of 149/2 + (-60)/40?
73
Suppose 26 = o + 5*v, -3*o = -4*o - v + 10. What are the prime factors of 64/o + (-8)/(-24)?
11
Suppose -7 = 2*f - 5. Let s be (-3)/(-3) + 2*1. Let z = s + f. List the prime factors of z.
2
Suppose -4*q - 20 = q. List the prime factors of (-4)/(-16) + (-139)/q.
5, 7
What are the prime factors of ((-2)/3)/(4/(-198))?
3, 11
What are the prime factors of 9 + 49/(-7) - 210/(-1)?
2, 53
Let k(x) = -x**3 - 3*x**2 - 2*x - 7. Let b(c) = -c**3 - 3*c**2 - 3*c - 7. Let n(s) = -5*b(s) + 6*k(s). What are the prime factors of n(-5)?
2, 7
Let v(q) = 27*q**3 + 13*q**2 - 11*q + 9. Let p(y) = -14*y**3 - 7*y**2 + 6*y - 5. Let o(j) = -11*p(j) - 6*v(j). What are the prime factors of o(-1)?
2
Let r(g) = g**2 - 2*g - 3. Let s be r(6). Let t = s + 18. What are the prime factors of t?
3, 13
Let v = 0 + 8. Let p = 10 - v. List the prime factors of p.
2
Let t be 20/6 + 2/3. Suppose t*y + y = 15. What are the prime factors of y?
3
Suppose 5*x = x. What are the prime factors of (-2 + -1)*(x - 1)?
3
Let v(y) = 2*y**2 - 1. Let n = 4 + -7. List the prime factors of v(n).
17
Let l(d) = -242*d**3 + d**2 + 4*d + 4. What are the prime factors of l(-1)?
3
Suppose -2*v = -7*v + 135. Suppose 53 = 2*y - 3*p, y + 0*p - 2*p - v = 0. What are the prime factors of y?
5
Suppose 5*g + 331 - 2255 = 2*w, 3*w = -4*g + 1553. What are the prime factors of g?
2, 193
Suppose i - 1 = -7. What are the prime factors of (6 - 1) + (-24)/i?
3
Suppose d + 9 = 4*d. List the prime factors of d.
3
Suppose -2*i - 5*n = -2, -2*i = n + n - 14. Suppose -2*u - 3*t = -31, t - 3 - i = -u. List the prime factors of u.
11
Let u(a) = 4*a**2 - 2*a - 6. Let h be u(4). Let f = -22 + h. List the prime factors of f.
2, 7
Suppose 2*u = 2*x - 3*u - 76, -3*x + 4*u + 100 = 0. Let l = 55 - x. Suppose -3*g - 47 = -4*h, 2*h + 3*g - l = 10. What are the prime factors of h?
2, 7
Suppose 0 = -2*y + 5*f + 293, 2*y + y - 462 = 3*f. What are the prime factors of y?
3, 53
Let h be -1 + -2 - (-2 + 4). Let w = h - -20. What are the prime factors of w?
3, 5
Let w(d) = -d**3 + 8*d**2 + 2*d + 2. What are the prime factors of w(7)?
5, 13
Let c(d) = 2*d - 11. Let a(j) = -j + 5. Let k(m) = -9*a(m) - 4*c(m). Let x(u) = -u. Let s(b) = -7*k(b) - 6*x(b). List the prime factors of s(0).
7
Let m = -16 - -18. Suppose 0 = -m*l - 10, 2*t + l - 12 = t. What are the prime factors of t?
17
Let z be (3 + (-46)/6)*-3. Suppose n + 0*n = z. What are the prime factors of n?
2, 7
Suppose 5 + 15 = 5*i, -4*i - 17 = -3*n. What are the prime factors of n?
11
Let i(p) = 3*p**3 + 2*p**2 + 3*p + 5. Let b(t) = -t**2 + 1. Let n(r) = 3*b(r) - i(r). List the prime factors of n(-3).
43
Let s = 4 + -3. Let l be (0 - (1 - 3))/s. Suppose -10 = l*p - 4*p. List the prime factors of p.
5
Let k be 177/3 + 1 + -2. Let p be k/(-4) + 4/8. What are the prime factors of (-4)/14 - 214/p?
3, 5
Let t(c) = c**2 - 5*c + 3. Let k be t(5). Suppose -4*f - 43 = -k*g, -f + 25 = 2*g - 0*f. What are the prime factors of g?
13
Let u(x) = 5*x**2 + 3*x - 3. List the prime factors of u(4).
89
Suppose 0 = -k + o - 6*o - 12, -4*k + 5*o + 27 = 0. What are the prime factors of (12/k)/((-4)/(-6))?
2, 3
Suppose 0 = -2*w + a + 637, -5*w - 4*a = -1500 - 60. List the prime factors of w.
2, 79
Let o be 3 + -3 + 2 - 2. Let w(u) = -u**3 + u**2 + u + 3. Let l be w(o). List the prime factors of l/5 - 248/(-20).
13
Let b = -13 - -18. Suppose 0*j + b*j - 25 = 0. Let n = 13 - j. List the prime factors of n.
2
Suppose 3*j - 15 = 5*f, -2*j = -5*f - 0 - 10. Suppose -b + 0 = -3. Suppose -3*m = 2*u - b*u + 1, -u = j*m - 17. List the prime factors of u.
7
Let v = 12 - 15. Let o(h) = h**3 + 5*h**2 + 3*h. What are the prime factors of o(v)?
3
Let x(h) = 20*h. What are the prime factors of x(2)?
2, 5
Let u be -6 + 13 - (-1 + 0). Suppose -w = k - 6, -w - 4*k + 2*k + u = 0. List the prime factors of (w/5)/(2/25).
2, 5
Let n = 5 - 1. Suppose -n*o + 2 = -3*o. Suppose -15 = -o*y + 17. List the prime factors of y.
2
Let q(c) = c**3 + c + 7*c**2 - 18*c**2 + 16*c**2 + 0*c + 2. Suppose -4*x + 4*n = x + 8, -2*n = -4*x - 10. List the prime factors of q(x).
2, 7
Let v(f) = -f**2 - 13*f + 2. Let a(g) be the second derivative of -g**4/12 - 7*g**3/6 - 2*g**2 + g. Let o be a(-8). List the prime factors of v(o).
2, 7
Let d = -3 - -8. Let p be (-12)/5*d/(-2). List the prime factors of ((-6)/5)/(p/(-15)).
3
Let n(m) = -7*m**3 + 8*m**2 - 7*m - 8. Let a(o) = -3*o**3 + 4*o**2 - 3*o - 4. Let s(w) = -9*a(w) + 4*n(w). Let r = 5 + -9. What are the prime factors of s(r)?
2
Let t be 120/9*1*3. Let q = -16 + t. List the prime factors of (12/9)/(2/q).
2
Suppose 0*b - 135 = -3*b. Suppose -q + l + 9 = 0, 4*q - l = -6*l + b. List the prime factors of q.
2, 5
Let o(y) = y**3 + 5*y**2 + 3*y - 1. Let u be o(-3). Let z = u - 7. Suppose -15 = -r + z. What are the prime factors of r?
2
Suppose -2*s = s - 63. Suppose 4*y - 39 = -5*k, 4*y - k - s - 24 = 0. What are the prime factors of y?
11
Let r = -11 - -43. Suppose 3*d - r = 2*d. Suppose 3*c - d = -c. What are the prime factors of c?
2
Suppose -2*z - 2*f = -52, -6*z + 5*f + 8 = -5*z. List the prime factors of z.
23
Suppose 0 = 2*j - 5*j - x + 634, 5*j + 3*x = 1058. List the prime factors of j.
211
Let g(j) = -2*j**2 - 13*j - 2. Let q be g(-6). Suppose 0 = t + r + q - 17, -4*r - 16 = 0. What are the prime factors of t?
17
Let i = 4 - -1. Let u be 0 + (2 - 12/3). What are the prime factors of (u/i)/((-2)/40)?
2
Let m = 87 + -18. What are the prime factors of m?
3, 23
Let l = -6 - -8. Let a be (-3)/(-6) + 15/l. Let r = 12 - a. List the prime factors of r.
2
Let m = -10 - -5. Let n = m + 4. List the prime factors of ((-2)/5)/(n/35).
2, 7
List the prime factors of (2 + (-166)/8)/((-9)/36).
3, 5
Let i(n) be the third derivative of -n**5/60 + n**4/4 - 5*n**3/6 - n**2. List the prime factors of i(4).
3
Let q be 2/(1 - 225/231). Suppose -5*f - 2 = -q. Suppose -m + f = 4. What are the prime factors of m?
11
Let d(g) = -g**2 + 16*g. What are the prime factors of d(12)?
2, 3
Let d = -60 - -32. Let o = -19 - d. List the prime factors of o.
3
Suppose -4*a + 20 = -5*k, 0 = 2*a - k + 4*k + 12. Suppose a = 2*d - 17 - 47. List the prime factors of d.
2
Let c(n) = 2*n**2 + 11*n + 12. Let b be c(-6). Suppose 5*z - b = 92. List the prime factors of z.
2, 11
Let q(d) = -d**2 - 16*d - 14. Let l(a) = a**2 - 7*a - 2. Let u be l(4). What are the prime factors of q(u)?
2, 7
Let p be (-1 - (-3 - 0)) + -2. Suppose -34 = -2*g - 2. Suppose -w - w + g = p. List the prime factors of w.
2
Let p(l) = -l**3 + 5*l**2 + 3*l - 6. Let t be p(5). What are the prime factors of (-1)/(-3) + 42/t?
5
Suppose -5*b - 35 + 13 = -d, -b - 4 = 0. Suppose 6 = -0*m + d*m. Suppose -m*c = -6*c + 30. List the prime factors of c.
2, 5
Suppose 11 = 5*r + 31. Let z be ((-66)/(-4))/((-2)/r). Suppose -4*f = -19 - z. What are the prime factors of f?
13
Suppose -3*r = -64 - 32. What are the prime factors of r?
2
Suppose 8*z = z + 315. What are the prime factors of z?
3, 5
Let z = 39 - 19. Suppose 10*w = 5*w + z. What are the prime factors of w?
2
Suppose -2*y + 2*b + 8 = -6, 4*y = -4*b - 12. Let c be (y/3)/(2/6). Suppose -4*z + 5*j = -72, -z - 2*j - c*j = 3. What are the prime factors of z?
13
Let y be -2 - (2*-2 - 1). Suppose -5 = -y*l + 7. Let c = 0 + l. List the prime factors of c.
2
Let d(k) = 5*k**2 + 24*k + 5. What are the prime factors of d(6)?
7, 47
Suppose 0 = 3*g + 1 - 7. List the prime factors of 1/(g/(-2))*-9.
3
Let y be (19 + 1)/((-4)/(-6)). Suppose g + y = -0*g
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(8) + sqrt(2))).
-17*sqrt(3) + 4
Simplify (-1 + -4 + -1 + sqrt(147) + -3*(sqrt(147) + 0) + sqrt(147) + -3 + 2)**2 + 4.
98*sqrt(3) + 200
Simplify -4 + (((sqrt(72) + -1)**2 + 3)*-1 - sqrt(192)/sqrt(96)*1).
-80 + 11*sqrt(2)
Simplify (-6*(-2 + sqrt(40)/(1*sqrt(8))) - (2*(sqrt(5) + (sqrt(5) - sqrt(320))**2)*-1 + 5))*4.
-16*sqrt(5) + 1988
Simplify (1 + sqrt(500) + -4 + -4 + 5 + 4 + 1 + -4*(0 + sqrt(500)))**2.
-180*sqrt(5) + 4509
Simplify ((sqrt(99)*1 + sqrt(99) - sqrt(99))*-6 + 2*3*sqrt(99))/((sqrt(324) - 1*sqrt(324)*-2)*6) + -4.
-4
Simplify (5*sqrt(252)*4)/(sqrt(1296) + sqrt(4))*-4.
-240*sqrt(7)/19
Simplify (5 + 3*(sqrt(108) + sqrt(108)*-3)*3 + -5 + -3)**2*-3.
-105003 - 1944*sqrt(3)
Simplify (-5 + -2 + sqrt(175))**2*6 + sqrt(525)/sqrt(3) + (sqrt(126)/sqrt(9))/sqrt(2).
-414*sqrt(7) + 1344
Simplify 6*(sqrt(55)/sqrt(5) + 3 + sqrt(11) + sqrt(275)*6)**2 + 0 + -1*sqrt(11)*2*-4*6.
1200*sqrt(11) + 67638
Simplify (3 + 5*(-2*sqrt(84))/sqrt(12))*6 + ((sqrt(385)/(sqrt(11) + 1*sqrt(11)))/(sqrt(30)/(sqrt(54) + sqrt(6)) + sqrt(5)))**2.
-60*sqrt(7) + 478/25
Simplify ((sqrt(112) - 4*(sqrt(112) + sqrt(112)*-5))*-6 + -2 - (5*(sqrt(112) + -2 + sqrt(112)) - (sqrt(112) + -3 + sqrt(112) + 3)))**2.
-7040*sqrt(7) + 1355264
Simplify ((sqrt(11) + sqrt(11)*-2 + 4 + sqrt(396)*-2 + sqrt(99)/sqrt(9)*4 + 3*sqrt(44))*3)**2.
-216*sqrt(11) + 1035
Simplify -1*((-4 + (sqrt(500) - (sqrt(500) + sqrt(500) + sqrt(500)*-3)) - -2*sqrt(500)*-3) + (2*sqrt(500)*4 - (1*sqrt(500) + -4)))**2.
-4500
Simplify (-4*sqrt(66)/(sqrt(3) + sqrt(363)*-1))/((sqrt(132) + sqrt(132)*-2 + sqrt(132))/sqrt(12) - -3*sqrt(891)).
2*sqrt(2)/135
Simplify (sqrt(704) - ((-4*(sqrt(704) + 1))**2 - sqrt(704)) - sqrt(704))*2 + (sqrt(44) + ((-2*sqrt(132))/sqrt(3) - sqrt(44)))/(-2*sqrt(64)).
-22560 - 1983*sqrt(11)/4
Simplify (-1*(sqrt(110) + sqrt(110) + sqrt(110)*-3) - -6*sqrt(110)*-2)/(sqrt(40)*-1 + sqrt(10) + (sqrt(250) - (sqrt(250) + sqrt(250)*-4 - sqrt(250)))).
-11*sqrt(11)/24
Simplify (sqrt(78)/(sqrt(12)/sqrt(2)) - (sqrt(13) - (-6*(sqrt(13) - sqrt(117)))**2))*-5 - (-2*sqrt(637) + sqrt(637) + -3 + 0)**2.
-10006 - 42*sqrt(13)
Simplify (-1*-6*(sqrt(104)*1 + sqrt(104))*4)/(sqrt(32) + sqrt(1568) + (1*sqrt(1568) - sqrt(1568)) + sqrt(1568) + sqrt(96)/sqrt(3)*-6).
8*sqrt(13)/3
Simplify 1*((3 + sqrt(3) + sqrt(192) + 2 + sqrt(192) + -3)**2 - (sqrt(486) + sqrt(486)*1)/(sqrt(2) + sqrt(48)/sqrt(6))) + 2.
62*sqrt(3) + 873
Simplify -5 + (1*(4*-1*sqrt(187))/(sqrt(33)/sqrt(3)*2 + sqrt(11)) + 4)*-3.
-17 + 4*sqrt(17)
Simplify (-1*(sqrt(5) + sqrt(10)/sqrt(50) + (sqrt(5) - (2*sqrt(30))/sqrt(6))))**2 - ((4 + sqrt(125) + -1)*-5 + 0).
76/5 + 25*sqrt(5)
Simplify -4 + (sqrt(20)*-1*-5 - (sqrt(1620)*-1 - sqrt(1620)))/((sqrt(10) + sqrt(40))*3*5)*-3*-3.
-4 + 23*sqrt(2)/5
Simplify (-5*(sqrt(30) - 1*sqrt(270))*2)/((sqrt(294) + sqrt(294)*-2 + sqrt(294) - sqrt(294))*-1 - sqrt(294) - (sqrt(294) - sqrt(294)*2*-4)).
-20*sqrt(5)/63
Simplify -2*sqrt(1584) + -5 + ((sqrt(704) + -1*sqrt(704))/sqrt(4))**2 - ((sqrt(176) + -3 + sqrt(176) + 2)**2 - 6*(sqrt(176) - sqrt(176)*3)).
-710 - 56*sqrt(11)
Simplify (-1*sqrt(171)*6 + -1*sqrt(171) + 2)**2*-1*1*-6.
-504*sqrt(19) + 50298
Simplify (1*(1*sqrt(52) + -3))**2*6 - ((2*sqrt(130) - sqrt(130))/sqrt(10) + 5 + (-2*sqrt(1300) + -1)**2).
-4840 - 113*sqrt(13)
Simplify 5 + -4 + 1 + ((sqrt(320) + (sqrt(320)*-1 - sqrt(320)) + 4)**2 - (sqrt(180)*3 + -3)).
-82*sqrt(5) + 341
Simplify (sqrt(1452) + (sqrt(1452) - (-2*sqrt(1452) + sqrt(1452))))/(4*sqrt(150)) + -5*(-1 + sqrt(8)/(sqrt(4) + (sqrt(28)/(sqrt(35)/sqrt(5)) - sqrt(4)))).
-67*sqrt(2)/20 + 5
Simplify ((-2 + 1*sqrt(2736) - (sqrt(2736) + (sqrt(2736) + 1*sqrt(2736) - sqrt(2736)) + -5)) + -5*sqrt(2736)*-1 + 5 + 0)**2.
768*sqrt(19) + 43840
Simplify 5 + (((sqrt(208) + -5*sqrt(208)*6 - sqrt(208))/sqrt(4))/((sqrt(44) + 5*sqrt(88)/sqrt(2) + sqrt(44))/sqrt(11)))**2.
11945/49
Simplify ((5*(-1*sqrt(100) + sqrt(100)))/((-1*sqrt(35))/sqrt(7)))/(-4*sqrt(400)*-4*2).
0
Simplify -2*(-4 + -3*sqrt(13)*2*-4)**2 - (0 + sqrt(13) + 0 - (sqrt(13) - (sqrt(117) + 0)))*-3.
-15008 + 393*sqrt(13)
Simplify (((sqrt(528)*2 + sqrt(528))*-6)/(sqrt(972)*-1)*-6 + -2)**2.
96*sqrt(11) + 6340
Simplify 1*((1 + sqrt(99))*5 + (sqrt(99)*-1 - sqrt(99))*3 + 4 + (2*(1 + sqrt(99)) + sqrt(99) - sqrt(99)) + 2)**2.
78*sqrt(11) + 268
Simplify (((sqrt(147) + sqrt(147)*-2)*-2)/(sqrt(3) - -3*(sqrt(12) + sqrt(3))))/((sqrt(84) - 4*1*sqrt(84))/(sqrt(60)/(sqrt(5)*2))).
-sqrt(7)/30
Simplify ((-4 + sqrt(30)/sqrt(10))*-6 + 1)**2 + 4 + (((sqrt(12)*-2)/sqrt(4))**2 - (sqrt(84)/sqrt(4))/sqrt(7)).
-301*sqrt(3) + 749
Simplify ((6*(0 + sqrt(208)) - (-3 + sqrt(208) + sqrt(208) + sqrt(208)*2)) + -3 + 4 + -1)**2.
48*sqrt(13) + 841
Simplify 4*-5*(-6*sqrt(1176))/(sqrt(64)/sqrt(32))*1.
1680*sqrt(3)
Simplify -1*((((-6*6*sqrt(81) + sqrt(81))/sqrt(9))/(sqrt(432)/sqrt(4) - (sqrt(3) + sqrt(6)/(sqrt(10)/sqrt(5)))))**2 + -5).
-3595/16
Simplify 2*(1 + (-3*2*(sqrt(153) + 1*sqrt(153)))/((sqrt(441)*3 - sqrt(441))*-1)).
2 + 12*sqrt(17)/7
Simplify -6*6*((sqrt(136) - 1*sqrt(136)*-3) + (-2*(sqrt(136) + (sqrt(136)*-2 - sqrt(136))) - sqrt(136) - sqrt(136)))/(sqrt(72)*-5 + 2*sqrt(288) + sqrt(288)).
-72*sqrt(17)
Simplify (4*sqrt(91)*2 - sqrt(91) - (sqrt(91) - sqrt(91)*-2*4))/((5*(sqrt(1008)*-1 + sqrt(1008) - sqrt(1008)) - sqrt(1008)) + 5*sqrt(1008)*2).
-sqrt(13)/24
Simplify -6*(((-2*sqrt(99)*-2 - sqrt(99))*3)/((sqrt(2700) + (sqrt(2700) - (sqrt(2700)*-2 + sqrt(2700))))/sqrt(3))*2)**2.
-594/25
Simplify 5 + 2 + (1*-3*2*sqrt(78)*-6)/(sqrt(96)*-4 - sqrt(54)/(sqrt(9)*3)).
-108*sqrt(13)/49 + 7
Simplify (-4 + (-2*sqrt(2268))/sqrt(9))**2 + (-6*(1 + sqrt(35)/sqrt(5) + 3))**2.
384*sqrt(7) + 1852
Simplify ((sqrt(70) - (3*-2*sqrt(70) - sqrt(70)))/((2*sqrt(80) - sqrt(80)) + sqrt(80)))/(-5*(3*(sqrt(2) - sqrt(18)) - sqrt(2))*-1).
-sqrt(7)/35
Simplify -4*(2 + (sqrt(891) + -2*sqrt(891))*3 + -1 + 1*((sqrt(891) - (sqrt(891) + -1))**2 + sqrt(891)) + (-4 + (2*sqrt(891))**2 - sqrt(891))) + -2.
-14250 + 108*sqrt(11)
Simplify 4 + (((-2*sqrt(567) + 1)*3 - (2 + 0 + sqrt(567) - 4*(sqrt(567) + -2)))*-3)**2.
3402*sqrt(7) + 46372
Simplify (-1 + (1*sqrt(77)*5)/(sqrt(121)/(sqrt(22)/sqrt(2))))**2 - 1*(6*(sqrt(70) - -2*sqrt(70)))/(sqrt(40)/sqrt(4)*-4).
-11*sqrt(7)/2 + 176
Simplify 3*((sqrt(1944) + (-1*sqrt(1944) - sqrt(1944))*-1)/(sqrt(960)/sqrt(5) + -1*sqrt(48)) + -4)*4.
-48 + 162*sqrt(2)
Simplify (-4*(sqrt(136) + sqrt(136)*-2)*-3*-3)/((sqrt(480)/sqrt(250))/(sqrt(96)*-4)).
-2880*sqrt(17)
Simplify 0 + (sqrt(8) - (sqrt(8) - sqrt(128)))**2 + (sqrt(2) - (sqrt(2) - sqrt(4)/sqrt(2)))**2*4 + (-5 + (1*sqrt(128) + -2 - sqrt(128)))**2 + -5.
180
Simplify ((-3*sqrt(16)/sqrt(2))/(sqrt(4) + sqrt(4) + sqrt(4) + sqrt(64) + 2*sqrt(64)) - (sqrt(54)/(sqrt(24)/(sqrt(48)/sqrt(6))))**2)*-1.
sqrt(2)/5 + 18
Simplify 4 + -5*(-4 + (1 + sqrt(17))*3) - ((4 + sqrt(68) + -1 + 2 + (sqrt(17) - sqrt(34)/sqrt(2)))*6)**2.
-3339 - 735*sqrt(17)
Simplify (4 + sqrt(110)/sqrt(10) - (sqrt(11) + sqrt(11) + -1*(sqrt(11) + 2)) - -3*(-3 + sqrt(396))*-5)**2.
-9180*sqrt(11) + 91701
Simplify (4*(5 + -3*((sqrt(833)*2 + sqrt(833) - sqrt(833)) + -3 - sqrt(833)*-1*4) + 1))**2 + -3.
-60480*sqrt(17) + 4321869
Simplify -6*(-5*1*sqrt(104)*-2)/(sqrt(56)/(sqrt(35)/sqrt(5)) + 1*sqrt(512) + sqrt(512)).
-60*sqrt(13)/17
Simplify 4 + ((-2*sqrt(468) - sqrt(468)) + sqrt(468) + -5)**2 + 2 - (sqrt(104) + 4*sqrt(104)*-4)/(2*sqrt(200)).
243*sqrt(13)/2 + 1903
Simplify ((3*sqrt(77)*-3 - sqrt(77))/(sqrt(99)*-6 - sqrt(11)))**2 + (sqrt(70)/(sqrt(2)*3))/(sqrt(80)/sqrt(4)).
sqrt(7)/6 + 700/361
Simplify ((sqrt(132)*-4 - sqrt(132))/sqrt(12) - (sqrt(121) - sqrt(121)*4)/sqrt(11) - (sqrt(176) + sqrt(176)*-3*6)**2*-4) + 4.
-2*sqrt(11) + 203460
Simplify -6*1*((6*sqrt(363)*2 - sqrt(363) - ((sqrt(363) + 1 - sqrt(363)) + 2 + sqrt(363) - sqrt(363))) + -2 + -1)**2.
-263754 + 8712*sqrt(3)
Simplify ((((-2*sqrt(352))/sqrt(11))/(2*sqrt(128)))/(-3*3*sqrt(968)*-1))**2.
1/313632
Simplify (sqrt(95) + 1*sqrt(95)*5 + sqrt(95) + -5*(sqrt(95) + -3*sqrt(95)) + sqrt(95))/((sqrt(405) + sqrt(405)*1*-2)*-1).
2*sqrt(19)
Simplify 1*(sqrt(252)*-1*-3 + ((sqrt(3087) + sqrt(63) + -2)*6)**2).
-3438*sqrt(7) + 145296
Simplify (4*(sqrt(1701)*1 - sqrt(1701)))/(sqrt(30)/sqrt(160) - -5*1*sqrt(3))*6.
0
Simplify -3 + ((-4 + sqrt(176) + 2)*5)**2 + 4 + 4.
-400*sqrt(11) + 4505
Simplify ((-3 + sqrt(171) + (sqrt(19) - (
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(-2)*(-6)/(-9).
19
Let o = 4 + -1. Let v(i) = -i**3 + 4*i**2 - i - 4. Let j be v(o). What are the prime factors of (-3)/((-1 + j)/(-1))?
3
Suppose -3*c - 27 = -2*z + 15, -3*c = -5*z + 87. List the prime factors of z.
3, 5
Let j(u) = u**2 + u - 7. Let z be j(0). Let f = 11 + z. List the prime factors of f.
2
Let x be -5*2*(-3)/15. Let d be x/((-4)/(-18))*9. Suppose -d = -5*b - 31. What are the prime factors of b?
2, 5
Let i be (-326)/(-8) + (-1)/(-4). Suppose -3*n - 53 = n + 3*u, 3*n + u = -i. What are the prime factors of 8/4 - n/2?
3
Let u = 11 - 13. List the prime factors of ((-100)/15)/(u/3).
2, 5
Suppose -q + 112 = 7*q. What are the prime factors of q?
2, 7
Let l = -168 - -330. List the prime factors of l.
2, 3
Suppose 3*p - 216 = -4*j + 7*p, 5*j + p = 264. List the prime factors of j.
53
Let f = 2 + -2. Suppose -2*d = -4*o - 12, f*o - 5*o = -d + 9. List the prime factors of d.
2
Let z(m) = 13*m**2 + 5*m - 21. What are the prime factors of z(-5)?
3, 31
Let f be 24/(-20)*(-2 + -3). Suppose 0*t + f*t = 54. List the prime factors of t.
3
Suppose 0 = -l - 25 - 39. Let n = l + 102. What are the prime factors of n?
2, 19
Let c be 4/10 + 218/5. Suppose 4*l = -8 + c. List the prime factors of l.
3
Let d = 6 + 33. List the prime factors of d.
3, 13
List the prime factors of 7/(14/(-4)) + 35.
3, 11
Let p(t) = t - 5. Let o be p(9). Suppose 0 = -5*s + 3*b + 2*b + 45, b = o*s - 48. List the prime factors of s.
13
Let s(g) = g - 2. Let l be s(-6). Let j(i) = -3*i - 11. List the prime factors of j(l).
13
Let n(u) = 5*u + 6. Let o be n(-5). Let c = 29 - o. What are the prime factors of c?
2, 3
Let i be (21/15 + -1)*-5. Let r = 6 + i. Suppose 0 = -r*u + 4, 5*s + 2*u = -2*u + 34. What are the prime factors of s?
2, 3
Suppose 12 = 5*c - 13. Suppose 0 = c*f - 64 - 61. List the prime factors of f.
5
Let y(b) = b**2 - 2. Let u be y(2). Let w(j) = -2*j**2 - j + 2. Let i be w(u). List the prime factors of (-93)/(-12) - 2/i.
2
Let p = 543 + -386. List the prime factors of p.
157
What are the prime factors of (-44)/((-16)/4) + -2?
3
Let f(s) = 2*s + 16. What are the prime factors of f(21)?
2, 29
Suppose -1027 = 3*t + 725. Let o be 4/14 + t/(-14). Suppose -w - o = -3*w. List the prime factors of w.
3, 7
Suppose -2*v + 92 = -2*j + 4*j, j = 5*v - 230. Let s(m) = -3*m + 9. Let w be s(7). What are the prime factors of w/(-30) - v/(-10)?
5
Suppose 216 = 4*m + 56. Let x = -26 + m. What are the prime factors of x?
2, 7
Let p(a) = 2 - a - 6 + 0*a - 4. Let y be p(-10). Suppose 4*l - 7 - 1 = -5*o, y = -o - 2*l. List the prime factors of o.
2
Suppose -2*y - 102 = -5*y. Suppose -3*h = -h - y. List the prime factors of h.
17
Let r be (-9)/3*(-7)/3. Let z = r + -2. What are the prime factors of z?
5
Let d(p) = 2*p**2 + 2*p - 4. What are the prime factors of d(3)?
2, 5
Let t = 15 + -22. What are the prime factors of t + 28 - (1 - 1)?
3, 7
Let k(c) = -c + 65. List the prime factors of k(-22).
3, 29
Let r = 3 - -4. Let i = -34 + 34. Suppose 4*p + r = g, -2*p + i = 2*g - 34. What are the prime factors of g?
3, 5
Suppose -r = -5*m - 4, 2*r - 8 = -0*r + 3*m. Let g = -30 + 42. Suppose 2*z = r*z - g. List the prime factors of z.
2, 3
Let c(z) = z**3 + 11*z**2 - z - 11. Let a be c(-11). Suppose 0 = -5*b - a*b + 45. List the prime factors of b.
3
Suppose -g = g. Suppose 2*p - 114 = -g*p. What are the prime factors of p?
3, 19
Let k(l) be the first derivative of -13*l**5/120 - l**4/24 + l**3/3 + 3. Let z(x) be the third derivative of k(x). What are the prime factors of z(-1)?
2, 3
Let w(p) be the second derivative of p**3/6 + 2*p**2 - 3*p. Let d = -1 - -4. What are the prime factors of w(d)?
7
Let i(h) = -6*h**3 - h**2 + h + 2. Let o = -21 + 19. List the prime factors of i(o).
2, 11
Let t(a) = 6*a**2 + a + 1. Suppose 4*h = -7 + 3. Let u be t(h). Let k = 11 - u. List the prime factors of k.
5
Let a(u) = u**3 + 8*u**2 - 10*u + 10. Let m be a(-9). Let k(q) = -12*q - 1. Let j be k(-1). Suppose -j = -3*d + m. What are the prime factors of d?
2, 5
Let h = 3 - -2. Suppose h*a - 24 = r, 2*r + 3*a + 0*a - 17 = 0. Suppose -p = 2*y - 6, 5*y - 4 - r = 0. List the prime factors of p.
2
List the prime factors of 11 + -4 + -1 - 4 - -3.
5
Let g = -374 + 745. List the prime factors of g.
7, 53
Let l(q) = -10*q**3 - 3*q**2 - 3*q - 1. List the prime factors of l(-1).
3
Let p(w) = -11*w - 14. List the prime factors of p(-5).
41
Suppose -2*g = -5*g - 51. Let t = -9 - g. What are the prime factors of t?
2
Suppose 0*z + 2 = -z. Let s = z + 7. What are the prime factors of s?
5
Let r be ((-1)/1)/(2/(-6)). Let j(y) = y**2 - y + 4. What are the prime factors of j(r)?
2, 5
Let m(s) = -3*s + 3. Let x(z) = z**2 + 5*z + 5. Let u be x(-4). Suppose -2*i - u = 5. What are the prime factors of m(i)?
2, 3
Let h(k) = -k**2 - 2*k + 1. Let n be h(2). Let q(m) = -m**2 - 8*m. Let a be q(n). Suppose a*u - 4*u - 36 = 0. List the prime factors of u.
2, 3
Suppose -6*k + 4*k = -52. List the prime factors of k.
2, 13
Let w(d) = d**3 - 6*d**2 + 3. Let a be w(6). Suppose 6*n - 5*j - 10 = n, 15 = a*j. What are the prime factors of n?
7
Suppose 0 = -9*d + 11*d + 14. Let s(u) be the third derivative of u**6/120 + 7*u**5/60 + 5*u**3/3 - 2*u**2. What are the prime factors of s(d)?
2, 5
Suppose 2 = -3*m + m. Let z be (1 + 0)*m - -27. Suppose -g - 7 = -p + 3, 3*p - 5*g - z = 0. List the prime factors of p.
2, 3
Let o(h) = -3*h - 5. Let r(j) be the third derivative of j**4/24 + j**3/2 - 2*j**2. Let c be r(-9). List the prime factors of o(c).
13
Let i(z) = -4*z + 2. List the prime factors of i(-3).
2, 7
Let u(x) = -x**2 + 3. Let p(m) = -2*m**2 - m + 5. Let q(v) = 3*p(v) - 7*u(v). Let w = 8 + -3. What are the prime factors of q(w)?
2
Let k(w) = -20*w - 17. Let q(s) = 7*s + 6. Let z(o) = 6*k(o) + 17*q(o). List the prime factors of z(-4).
2
Let r(h) be the third derivative of 1/8*h**4 + h**2 - 1/6*h**3 - 1/15*h**5 - 1/120*h**6 + 0*h + 0. What are the prime factors of r(-5)?
3
Let i(p) be the second derivative of -p**5/120 + p**4/3 - p**3/6 + 2*p. Let s(u) be the second derivative of i(u). What are the prime factors of s(4)?
2
Let a = -51 - -1. What are the prime factors of (-1 + 4)/((-6)/a)?
5
Let j be (5 - 4)*0/2. Let z(t) = 3*t**3 - 3*t**2 - 2. Let g(y) = 2*y**3 - 2*y**2 - 2. Let s(l) = -4*g(l) + 3*z(l). List the prime factors of s(j).
2
Let q = -5 + 22. What are the prime factors of q?
17
List the prime factors of 1/((-1)/(-5)*4/136).
2, 5, 17
Let s(k) be the third derivative of 0*k - 1/12*k**4 + k**2 + 0 + 1/120*k**6 - 5/6*k**3 + 1/12*k**5. What are the prime factors of s(-5)?
5
Let b(h) = 2*h**2 - 4*h + 5. Let t be b(2). Suppose c - t = 12. What are the prime factors of c?
17
Suppose -5*m - 2*j + 38 = -7, -m = j - 9. Suppose 2*c - m = c. What are the prime factors of c?
3
Let z(c) = c**3 - 6*c**2 + c - 6. Let j be z(6). Suppose 3*o + 49 = 2*g, j = -8*g + 5*g + 5*o + 75. What are the prime factors of g?
2, 5
Suppose 6*a - 109 = 59. What are the prime factors of a?
2, 7
List the prime factors of 240/9*(-6)/(-4).
2, 5
Let o(s) be the first derivative of s**4/4 - s**3 + s**2 + 3*s - 1. What are the prime factors of o(3)?
3
Let y be 15/3 + (-2)/1. Suppose -54 = -y*z + 24. List the prime factors of z.
2, 13
Suppose 0 = -5*r + 25, -3*p - 5*r + 122 = 16. List the prime factors of p.
3
Let j(x) be the first derivative of -x**4/4 - x**3/3 - x**2/2 + 37*x - 1. What are the prime factors of j(0)?
37
Let z(b) = 153*b**2 - 4*b + 3. What are the prime factors of z(1)?
2, 19
Suppose 5*a - r - 193 = 0, 0*r - 5*r = 3*a - 127. What are the prime factors of a?
3, 13
Suppose 2*b - 3*m = 11, 4*m - 5*m = -5*b - 5. Let h(o) be the third derivative of o**5/30 + o**4/24 - o**3/3 + o**2. List the prime factors of h(b).
2
Let u be 6/4*(-2)/(-3). Let v = 16 - u. List the prime factors of v.
3, 5
Let h be -1 + 9/3 + 106. What are the prime factors of 3/(-15) + h/15?
7
Suppose -2*d + o + 349 = 0, -2*d - 2*o + 237 = -97. List the prime factors of d.
2, 43
Let h be (-2)/3 + 82/(-3). Let q be (h/5)/((-1)/(-5)). What are the prime factors of 2/3 - q/12?
3
Let t(q) = -q**3 - 9*q**2 + 10*q + 15. Let s be t(-10). Suppose -4*l = l - s. Let c = 19 + l. List the prime factors of c.
2, 11
Suppose 3*m - 9 + 3 = 0, 5*m - 18 = -2*r. Suppose -k = -r*k + 54. List the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
osest to 0.1 in 0.5, v, n?
v
Let w = -306/65 + 56/13. Which is the closest to w? (a) -1/2 (b) 1 (c) -2/5 (d) -45
c
Let t = 8 + -5. Let u be 1 - t/5*1. Let s be (-8)/(-40) + 0*(-1)/4. What is the nearest to u in s, 5/2, 3?
s
Let k = 3.98 - 3.88. What is the nearest to k in 0.3, 3/2, 2/13?
2/13
Suppose -2*n = -6*n + 16. Suppose 3*s = 2 + 4, 5*x - 3*s - 54 = 0. Let t be ((-54)/x - 4/(-1))/(-5). Which is the closest to -0.1? (a) -3/7 (b) t (c) n
b
Let h = 1.1 - 1.6. Let v(i) = -2*i - 29. Let q be v(-14). Let d = -6 - -6. Which is the closest to d? (a) 2 (b) h (c) q
b
Let o be (-238)/(-210) + 1/(-3). Which is the nearest to 1? (a) o (b) -3 (c) -5/4 (d) 2
a
Let x be (-5 - (-2 - -1))/(-2). Let h = 94 + -98. What is the closest to 0.2 in h, -2, x?
x
Let y = -0.6 + 0.2. Which is the nearest to y? (a) 0 (b) -0.5 (c) 0.5
b
Let z be 16/(-6) - 85/(-51). Which is the closest to 1/5? (a) 4 (b) 2/3 (c) 1/2 (d) z
c
Let i(q) = q**3 + 6*q**2 + q + 8. Let g be i(-6). Let r = 1 + g. Let w = -0.13 + -0.27. What is the closest to 1/4 in w, -5, r?
w
Let c be ((-519)/(-258) - 2)/1. Let s = -177/430 + c. Let k = 85/4 + -21. What is the nearest to k in 0.3, 5, s?
0.3
Let w(j) = -4*j + 75. Let f be w(18). What is the closest to 1 in f, 0.4, -4?
0.4
Let v = -10 - -10.5. Let t = 0.05 - 0.05. Let o = 3 + t. Which is the closest to 1? (a) 0.1 (b) o (c) v
c
Let s(p) = 6*p**2 - 8*p + 6. Let m be s(4). Let i = -279/4 + m. Which is the closest to i? (a) 5 (b) -1/2 (c) 2/5
c
Let l = 0.225 - 0.225. Which is the closest to l? (a) 2/11 (b) -1 (c) -3
a
Let p = 0.14 + -0.04. Let q = 84 + -333/4. Let r = -8.1 + 8. What is the nearest to 0.1 in p, q, r?
p
Let g = -0.34 - -0.04. Let h = g + -0.2. Suppose 20*o - 3217 = -3277. What is the nearest to o in 5, 2, h?
h
Let l = 0.03 - 4.03. Let a = -336 + 333. What is the nearest to 1 in l, -1, a?
-1
Let w be (12/16)/((-35)/(-60)). Which is the closest to -0.2? (a) 4 (b) w (c) 3/7
c
Let r = -17.3 + 17. Let s be 11/(44/16) - 2. Let g be ((-3)/(-12))/((-27)/24). Which is the nearest to s? (a) 2/11 (b) g (c) r
a
Let r(s) = 2*s + 21. Let n be r(-7). Let m be 3/(-1*6/(-8)). Suppose 0 = -m*k - 3*x + 1, 3*k - n = 3*x + x. Which is the closest to 0? (a) -1/3 (b) -3 (c) k
a
Let o = 204 - 209. Let x = 1.9 - 2. Let r = 0.1 + x. Which is the closest to r? (a) 0 (b) -3 (c) o
a
Let y = -0.21 + 0.18. What is the nearest to 2/7 in -0.5, 0.4, y?
0.4
Let i = 0.7 + -1. Which is the nearest to 1/2? (a) i (b) 7/4 (c) -2/11
c
Let h = -0.82826 + -0.07174. Let y be 2/(-7) - 10853/21. Let l = y + 517. Which is the closest to -0.1? (a) h (b) l (c) -1
b
Suppose 8*y - 25 = 3*y. Let l = 1 - 0. Let v = -664.4 + 664.8. Which is the nearest to -0.1? (a) v (b) l (c) y
a
Suppose 20*m - 23*m = 9. Let j be (m - 129/(-45))*-20. Which is the closest to -1? (a) 2/15 (b) -0.5 (c) j
b
Let k(a) = -a**2 - 2*a. Let w be ((-2)/(-4))/(16/(-64)). Let x be k(w). What is the nearest to x in -1, 6, 0.5?
0.5
Let h = -9 - -10. Let q be (-4 - (-60)/14)*7. Which is the closest to h? (a) -0.3 (b) q (c) 1
c
Let w(l) = 2*l + 46 - 4*l - 10. Let u be w(16). Let i = 2/167 + -364/2505. What is the closest to u in -3, 2, i?
2
Let o = -531/7 - -529/7. Which is the closest to -14? (a) o (b) -0.2 (c) 0.1
a
Let v = 25.41 - 25. Let a = 0.71 - v. What is the nearest to 0.1 in 0, a, -3/2?
0
Let r = 0.29 + 0.01. Let m = -0.6 - -0.1. Let k = 35.7 - 36. Which is the nearest to 1? (a) k (b) r (c) m
b
Let n be (-3)/4 + 5/20. Let i = 5.2 - 4. Let v = i + -0.2. Which is the closest to v? (a) -1 (b) -4 (c) n
c
Suppose -g = 2*g + 24. Let f = 363 - 1451/4. Which is the closest to 1? (a) -4 (b) f (c) g
b
Let r = -2/4559 + -9100/41031. Let h(i) = i**2 - i - 2. Let d be h(2). What is the closest to d in r, -2, -1/2?
r
Let c = 1657 + -1663. What is the nearest to 0.1 in 2, 1/17, c, 0.3?
1/17
Let w = 0.228 - 2.428. What is the nearest to -0.1 in 0, 5/3, w?
0
Let l = 242 - 242. Let n = -8 + 5. What is the nearest to 0.3 in l, n, -2?
l
Let j = -10 + 10. Suppose 5*h + 2 + 38 = j. Let z = -25/3 - h. Which is the closest to 0? (a) -5 (b) 1/10 (c) z
b
Let j = -24.78 - -25. Let f = -989.02 - -989. Let r = f + j. What is the closest to 2/5 in -3/2, r, -3/4?
r
Let i = 9 - 6. Let w = -0.212 + -0.088. Let s = -1.865 + -0.135. What is the closest to w in i, s, -4?
s
Let d = -1.499 - -1.399. Let x = 0.07 - 2.07. What is the nearest to d in -0.4, x, 12?
-0.4
Let w = 370.2 - 370. What is the closest to w in 11, 0.4, -0.3?
0.4
Let i = -11854/15 - -790. What is the nearest to -1 in i, 0.3, -4?
i
Let j = -116.5 + 117.5. Which is the closest to 0? (a) j (b) 1/2 (c) 0 (d) 3
c
Let d = -1394.9 - -1395. Which is the nearest to d? (a) 0.2 (b) 2/3 (c) -97
a
Let h = 5.04 - 0.04. Let n(f) = -f**2 + 6*f + 11. Let m be n(6). Suppose 2*d - i = -m, -3*d + i = 2 + 12. What is the nearest to 0.1 in h, 2/7, d?
2/7
Let m = 0.043 + 3.257. Let v = m - 2.8. What is the closest to 1/3 in v, -2/7, 3?
v
Let q = 0.09646 + -0.29646. Let t = -11/6 - -4/3. Which is the nearest to 3? (a) q (b) 0.1 (c) t
b
Let a = -10 + 7. Let p = 2330 - 2333. What is the closest to p in 5, 0.4, a?
a
Let k = -102 + 101.7. Which is the closest to -1? (a) 0.2 (b) -6 (c) -2 (d) k
d
Let j be (-7 - -7) + (-4 - -1) + 7. Let d be (130/j)/13*12/(-10). What is the nearest to 2/3 in -1, d, 0.04?
0.04
Let m = 16.5 + -32. Let x = 15 + m. Suppose 0 = -s + 5*s. Which is the closest to s? (a) x (b) -2/9 (c) 2
b
Let t = -3.051 - -0.051. Let z = 1 + 0. What is the closest to t in 0.1, z, 3/7?
0.1
Let z = -180 - -179. Which is the closest to -10/11? (a) 1 (b) z (c) 0.3
b
Let r = 0.459 + -0.359. Which is the nearest to -1? (a) 1.1 (b) -2/9 (c) r
b
Let p = -462 + 480. What is the nearest to -1 in 5, -3, p?
-3
Suppose 4*r - 3*d - 6 = 0, 2*r + 4*d = -2*r + 20. Suppose -r*n - 3*x - 9 = 0, -3*x - x - 8 = 0. Which is the nearest to -3? (a) 3 (b) n (c) 6/5
b
Suppose v = -2*s + 5*v - 12, -s = -5*v + 21. Suppose 5*q = -3*u - s, -6 + 1 = 4*q + 3*u. Let m be -1 + (15/9 - q). What is the closest to m in 0, -0.5, -1/8?
-0.5
Let i = -1.268 - -0.268. Let d = -2.03 + 0.03. Let w = -0.11 - -4.11. Which is the closest to -0.3? (a) w (b) i (c) d
b
Let j = 680 + -2042/3. Which is the closest to -2/5? (a) 2 (b) j (c) -0.01
b
Let d(j) = -22*j**3 + 2*j**2 + 2*j + 1. Let u be d(-1). Let p be 384/16 - (-3)/(-2 + -1). Let t = p - u. What is the closest to t in -2, 2/5, -0.2?
-0.2
Let z = 20.8 - -0.2. Let w = 333 - 316. Let o = w - z. What is the closest to -2 in 1/4, 1/3, o?
o
Let j = -410136285 + 7373840272781/17979. Let s = j - 4/461. Let p = s - -1/13. Which is the closest to p? (a) 2 (b) 0 (c) -0.1
b
Let v = 3.23 - 2.93. Which is the nearest to 0? (a) v (b) 0.29 (c) -1/3
b
Let x be (10 - 12) + (2 - (-6)/3). Which is the nearest to 1? (a) x (b) -5 (c) -14
a
Let v = -42 + 37. Let x = 0.26 - 0.66. What is the nearest to 0 in v, x, -0.5?
x
Let c = 1.23 + -1.13. Let w = 0.24 - -0.06. What is the closest to -2 in w, c, -0.1?
-0.1
Let k = -95.57 - -95. Let t = k - -0.07. Let j = 60 + -302/5. Which is the closest to j? (a) 2 (b) 2/5 (c) t
c
Let m = -0.94 + 0.64. What is the closest to 2/9 in 4, 0, m?
0
Let y = 1706 - 1706.2. Which is the nearest to 1? (a) y (b) 3/4 (c) -1 (d) -7
b
Let d = -2.47 - -1.47. Let g = -0.3 - -0.4. Which is the nearest to g? (a) d (b) 5 (c) 2
a
Let w = 1214 + -1223. Let f = 128/183 - 2/61. What is the nearest to -0.1 in w, f, -2?
f
Let p = 1.9 - 2. Let d = -181 - -1269/7. Which is the nearest to d? (a) 0.5 (b) p (c) 2
a
Let p = 733 + -733.1. Which is the nearest to 5/4? (a) 5 (b) p (c) 0
c
Let x be 22/8 - (2 - -1). What is the nearest to -1/2 in -10, 0, x?
x
Let g = -0.92 - -2.92. Suppose p + 0*p + 1 = 0. Let j = 0 + -4. What is the closest to g in j, p, -5?
p
Let s(z) = z**2 - z - 3. Let i be s(3). Let t be 34/(-16) + i + -1. Let n = 156 - 156. Which is the closest to n? (a) -0.05 (b) t (c) -2/9
a
Let u = 1.868 - 1.468. Let q = 0.1 + -1.1. What is the closest to q in u, -4/9, 4?
-4/9
Let c = -33 - -20. Let a = -7 - c. Let b be a*-2*1/4. What is the closest to -1 in b, -1/7, 1/2?
-1/7
Let t = -14 - -17. Suppose t + 1 = z. What is the nearest to 4 in 1/4, z, 3?
z
Let f be ((-70)
|
{
"pile_set_name": "DM Mathematics"
}
|
t of 1015 to the nearest integer?
32
What is the third root of 302 to the nearest integer?
7
What is the third root of 7946 to the nearest integer?
20
What is the third root of 48039 to the nearest integer?
36
What is the tenth root of 67261 to the nearest integer?
3
What is the eighth root of 41512 to the nearest integer?
4
What is the square root of 6331 to the nearest integer?
80
What is 50 to the power of 1/10, to the nearest integer?
1
What is the square root of 37385 to the nearest integer?
193
What is 138044 to the power of 1/3, to the nearest integer?
52
What is the sixth root of 102889 to the nearest integer?
7
What is the cube root of 2030 to the nearest integer?
13
What is 55219 to the power of 1/2, to the nearest integer?
235
What is the ninth root of 16822 to the nearest integer?
3
What is the square root of 1835 to the nearest integer?
43
What is the third root of 5795 to the nearest integer?
18
What is 15399 to the power of 1/3, to the nearest integer?
25
What is the ninth root of 78462 to the nearest integer?
3
What is 10605 to the power of 1/7, to the nearest integer?
4
What is the fifth root of 7704 to the nearest integer?
6
What is the eighth root of 508 to the nearest integer?
2
What is the third root of 5024 to the nearest integer?
17
What is the square root of 9726 to the nearest integer?
99
What is 6732 to the power of 1/6, to the nearest integer?
4
What is the third root of 858 to the nearest integer?
10
What is 3543 to the power of 1/2, to the nearest integer?
60
What is 6247 to the power of 1/2, to the nearest integer?
79
What is the sixth root of 232 to the nearest integer?
2
What is 170 to the power of 1/9, to the nearest integer?
2
What is 4167 to the power of 1/9, to the nearest integer?
3
What is the eighth root of 468 to the nearest integer?
2
What is 11975 to the power of 1/8, to the nearest integer?
3
What is 5115 to the power of 1/8, to the nearest integer?
3
What is the fifth root of 1651 to the nearest integer?
4
What is the cube root of 44485 to the nearest integer?
35
What is the third root of 4407 to the nearest integer?
16
What is the square root of 18379 to the nearest integer?
136
What is 3606 to the power of 1/8, to the nearest integer?
3
What is the fifth root of 6795 to the nearest integer?
6
What is 5643 to the power of 1/2, to the nearest integer?
75
What is the square root of 892 to the nearest integer?
30
What is 51406 to the power of 1/5, to the nearest integer?
9
What is the square root of 1271 to the nearest integer?
36
What is the third root of 20760 to the nearest integer?
27
What is the square root of 830 to the nearest integer?
29
What is the ninth root of 2980 to the nearest integer?
2
What is 2569 to the power of 1/5, to the nearest integer?
5
What is the third root of 1392 to the nearest integer?
11
What is 34404 to the power of 1/5, to the nearest integer?
8
What is the sixth root of 45 to the nearest integer?
2
What is 2525 to the power of 1/9, to the nearest integer?
2
What is 123 to the power of 1/7, to the nearest integer?
2
What is the square root of 2198 to the nearest integer?
47
What is the ninth root of 7939 to the nearest integer?
3
What is the third root of 1281 to the nearest integer?
11
What is the fourth root of 107372 to the nearest integer?
18
What is the square root of 2626 to the nearest integer?
51
What is the cube root of 46274 to the nearest integer?
36
What is the seventh root of 723 to the nearest integer?
3
What is 5512 to the power of 1/2, to the nearest integer?
74
What is 34863 to the power of 1/3, to the nearest integer?
33
What is 2939 to the power of 1/2, to the nearest integer?
54
What is 48830 to the power of 1/3, to the nearest integer?
37
What is 41035 to the power of 1/4, to the nearest integer?
14
What is 22964 to the power of 1/6, to the nearest integer?
5
What is 36144 to the power of 1/7, to the nearest integer?
4
What is 14752 to the power of 1/3, to the nearest integer?
25
What is the third root of 20302 to the nearest integer?
27
What is the fourth root of 801 to the nearest integer?
5
What is 61369 to the power of 1/3, to the nearest integer?
39
What is the fifth root of 4652 to the nearest integer?
5
What is the cube root of 3149 to the nearest integer?
15
What is the seventh root of 312 to the nearest integer?
2
What is the square root of 11659 to the nearest integer?
108
What is 344 to the power of 1/6, to the nearest integer?
3
What is 41052 to the power of 1/2, to the nearest integer?
203
What is 28922 to the power of 1/4, to the nearest integer?
13
What is the third root of 1016 to the nearest integer?
10
What is 456 to the power of 1/3, to the nearest integer?
8
What is the fourth root of 1173 to the nearest integer?
6
What is the cube root of 29310 to the nearest integer?
31
What is 15901 to the power of 1/10, to the nearest integer?
3
What is 2944 to the power of 1/3, to the nearest integer?
14
What is the fourth root of 485 to the nearest integer?
5
What is the third root of 1925 to the nearest integer?
12
What is the cube root of 208 to the nearest integer?
6
What is 1346 to the power of 1/3, to the nearest integer?
11
What is the cube root of 41899 to the nearest integer?
35
What is 22164 to the power of 1/2, to the nearest integer?
149
What is 58459 to the power of 1/3, to the nearest integer?
39
What is 4561 to the power of 1/3, to the nearest integer?
17
What is the third root of 5963 to the nearest integer?
18
What is the square root of 121471 to the nearest integer?
349
What is 33612 to the power of 1/3, to the nearest integer?
32
What is the square root of 1377 to the nearest integer?
37
What is the cube root of 1359 to the nearest integer?
11
What is 44066 to the power of 1/4, to the nearest integer?
14
What is 12971 to the power of 1/7, to the nearest integer?
4
What is 27112 to the power of 1/2, to the nearest integer?
165
What is 6824 to the power of 1/3, to the nearest integer?
19
What is the ninth root of 15388 to the nearest integer?
3
What is the ninth root of 23012 to the nearest integer?
3
What is the third root of 40329 to the nearest integer?
34
What is the third root of 19439 to the nearest integer?
27
What is the square root of 105 to the nearest integer?
10
What is the eighth root of 143911 to the nearest integer?
4
What is 34650 to the power of 1/2, to the nearest integer?
186
What is the third root of 2260 to the nearest integer?
13
What is the square root of 1550 to the nearest integer?
39
What is the fifth root of 3355 to the nearest integer?
5
What is 6998 to the power of 1/6, to the nearest integer?
4
What is 710 to the power of 1/4, to the nearest integer?
5
What is 8240 to the power of 1/10, to the nearest integer?
2
What is 5536 to the power of 1/6, to the nearest integer?
4
What is 7537 to the power of 1/9, to the nearest integer?
3
What is the fifth root of 1945 to the nearest integer?
5
What is the tenth root of 146 to the nearest integer?
2
What is 8651 to the power of 1/3, to the nearest integer?
21
What is the cube root of 551 to the nearest integer?
8
What is the fifth root of 30105 to the nearest integer?
8
What is the square root of 7710 to the nearest integer?
88
What is the eighth root of 367 to the nearest integer?
2
What is the square root of 345 to the nearest integer?
19
What is 2212 to the power of 1/3, to the nearest integer?
13
What is the square root of 20509 to the nearest integer?
143
What is 3123 to the power of 1/4, to the nearest integer?
7
What is 1665 to the power of 1/9, to the nearest integer?
2
What is the fourth root of 6552 to the nearest integer?
9
What is 54127 to the power of 1/2, to the nearest integer?
233
What is 182 to the power of 1/3, to the nearest integer?
6
What is 4710 to the power of 1/2, to the nearest integer?
69
What is 11657 to the power of 1/2, to the nearest integer?
108
What is the cube root of 296 to the nearest integer?
7
What is the ninth root of 34423 to the nearest integer?
3
What is the third root of 47291 to the nearest integer?
36
What is the square root of 113152 to the nearest integer?
336
What is 7066 to the power of 1/2, to the nearest integer?
84
What is the square root of 20367 to the nearest integer?
143
What is 1728 to the power
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest to 0.3 in -3, 0.3, 4/5, 0.04?
0.3
What is the closest to -13/6 in 3, 4, 0.4, -0.9?
-0.9
Which is the nearest to 1/4? (a) 49 (b) 0.3 (c) 6/7
b
Which is the closest to 0? (a) 7 (b) -2/3 (c) 1 (d) 3
b
Which is the nearest to 0.1? (a) -4/5 (b) 0.1 (c) -3/5 (d) -0.24
b
Which is the nearest to -1? (a) -0.19 (b) -4 (c) 0.2
a
Which is the nearest to 0.042? (a) -1 (b) -2/9 (c) 0.3
c
Which is the nearest to 0.1? (a) 0 (b) 0.5 (c) -1.1 (d) 0.1
d
Which is the nearest to 1? (a) -0.116 (b) -0.5 (c) 1 (d) -4
c
Which is the nearest to -7/17? (a) -1 (b) 4/9 (c) 0.3 (d) -5
a
What is the closest to -2/49 in -1/3, 1, -2/19, 2/3?
-2/19
What is the closest to -4/3 in -0.06, 1, 8/11, -5/4?
-5/4
Which is the nearest to -25? (a) -3 (b) 3 (c) 83 (d) 5
a
Which is the nearest to 0? (a) -47/13 (b) 0.5 (c) -2 (d) -4
b
Which is the nearest to -0.2? (a) 7.9 (b) 4/3 (c) 4
b
Which is the closest to 1? (a) 2/7 (b) -4571 (c) -3 (d) 3/2
d
Which is the nearest to -2? (a) -0.5 (b) -3 (c) -125 (d) -1/3
b
What is the nearest to 0.2 in 4, -4, 1/31?
1/31
What is the closest to 0 in -29, -0.1, -5/4, 0.2?
-0.1
What is the nearest to -5 in 0.4, 13, 3, 8?
0.4
What is the nearest to 1 in 3, -4/7, -0.004?
-0.004
What is the nearest to 29 in -2/21, 3/5, 0?
3/5
Which is the nearest to 3? (a) 5 (b) 29 (c) 0.4
a
What is the closest to 0.1 in 8, 24.7, 0.3?
0.3
What is the closest to -0.1 in 0.1, 2/5, -0.5, 0.2?
0.1
What is the closest to -14 in -0.5, 3/7, 0.4, 2?
-0.5
What is the closest to 0.13 in -0.2, -4, -1/7, -0.4?
-1/7
Which is the nearest to -1/6? (a) -9 (b) -2/9 (c) -1 (d) -4
b
Which is the nearest to 1? (a) -17 (b) 7 (c) 2/11
c
What is the nearest to 0.1 in -3/5, 36, 5, 2/3?
2/3
What is the closest to -0.04 in -2/7, 0.03, -4, 2?
0.03
What is the nearest to 1/16 in 4, -0.5, -1/5, 18/11?
-1/5
What is the nearest to 0.1 in 1/2, 5, -2/5, -0.08?
-0.08
Which is the nearest to -11? (a) 0.4 (b) -0.1 (c) 1
b
What is the nearest to 1 in -1, 0.2, -103?
0.2
Which is the nearest to 9? (a) 8 (b) 0.04 (c) -0.01
a
What is the closest to 2 in 0.2, 3, 43?
3
Which is the closest to -1/30? (a) 0.3 (b) 0.04 (c) -6 (d) 2
b
Which is the closest to 0? (a) 0.08 (b) 1/3 (c) 2/31
c
What is the nearest to 2/11 in -3, 1, 2/19, -3/7?
2/19
What is the closest to 8 in 75.5, -2/11, 5?
5
What is the nearest to -0.1 in 40, -0.4, 0, 0.7?
0
What is the nearest to -2 in -4, -0.8, 4/3, -6?
-0.8
What is the nearest to 6 in -0.2, -1, 0.028?
0.028
Which is the nearest to -0.2? (a) -2/15 (b) 1/8 (c) 2/5 (d) -144.8
a
What is the closest to 11 in -19/2, -7, -2, 5?
5
Which is the closest to 80? (a) 0.6 (b) -2/3 (c) 3
c
What is the closest to -0.04 in -0.4, -0.049, -2/13?
-0.049
Which is the closest to -1? (a) -0.15 (b) 3/7 (c) -1 (d) -13
c
Which is the nearest to 2/201? (a) -0.4 (b) -0.07 (c) 2/3
b
Which is the nearest to 3? (a) -1/6 (b) 4 (c) 0 (d) -13
b
What is the nearest to 0.2 in -5, -10/3, 2, -1?
-1
Which is the closest to -8? (a) -4 (b) -1 (c) -27
a
Which is the nearest to -11? (a) 0.4 (b) 3/2 (c) -9/2
c
What is the nearest to -0.1 in 3/5, -0.5, -0.3?
-0.3
What is the nearest to 1 in 12, -3, -56, 4?
4
Which is the closest to 0? (a) -369 (b) 2 (c) -4/9
c
Which is the nearest to -2/3? (a) -0.2 (b) 3/5 (c) -5 (d) -3
a
What is the closest to 1/2 in 1, -2/5, 9/5?
1
Which is the closest to 6? (a) -3 (b) -0.5 (c) 0.1 (d) -1
c
Which is the closest to 0? (a) -1.3 (b) 183 (c) 5 (d) -3
a
What is the closest to 0 in 3, -1/3, -437?
-1/3
What is the closest to -0.6 in -3, 2, -1?
-1
What is the nearest to -1/18 in 5, -0.1, 0.1, -5/3?
-0.1
What is the closest to 1/8 in 7, -63, 2?
2
Which is the nearest to -1? (a) 1/2 (b) -3 (c) 1/200
c
Which is the nearest to 0? (a) -1 (b) -2 (c) 2/27
c
What is the nearest to -1 in 2/111, -5, -5.5?
2/111
Which is the nearest to -3? (a) -2 (b) 1.5 (c) -2/7 (d) 0.5
a
Which is the nearest to -64? (a) 0.5 (b) 10 (c) -0.2
c
Which is the closest to 1? (a) -6 (b) -1/3 (c) -1/2 (d) -1/7
d
Which is the nearest to 0.1? (a) 26 (b) -0.01 (c) 0.5 (d) -0.2
b
Which is the closest to 27? (a) 5 (b) -2/13 (c) 1/4 (d) -0.4
a
What is the closest to -0.1 in -54, 4, -2, -1?
-1
Which is the nearest to 0? (a) -128 (b) -4 (c) 24
b
What is the nearest to 14 in -0.1, 3, 0.04?
3
Which is the closest to 5/3? (a) 2 (b) -19 (c) -1
a
Which is the closest to 7? (a) -5 (b) 2 (c) 4
c
Which is the nearest to 2/9? (a) 0.05 (b) 4 (c) 0.16
c
Which is the nearest to -3? (a) -1 (b) 29 (c) 0.5
a
Which is the closest to -2? (a) -11 (b) 19 (c) -1/7
c
Which is the nearest to 0? (a) -4 (b) -0.4 (c) 0.11 (d) 0.06
d
What is the nearest to 0.2 in -5, -6, 0.1, -3/2?
0.1
Which is the nearest to 0? (a) -7/4 (b) -0.5 (c) 0.2
c
Which is the closest to 3? (a) -2 (b) 33 (c) 0
c
What is the nearest to 0 in 66, 4, -0.2, 0.3?
-0.2
Which is the closest to -2? (a) -0.25 (b) -6/11 (c) 1
b
Which is the closest to -2? (a) 3/7 (b) 2/7 (c) 5 (d) 1
b
What is the nearest to -1 in -1, -5, 0, 1.3?
-1
Which is the closest to 1? (a) 1/5 (b) 0.3 (c) 0.04 (d) -194
b
What is the nearest to -1 in -2/5, -4, -2/3, -8/3?
-2/3
What is the nearest to -58 in -4/7, 4, -3?
-3
What is the closest to 3/10 in -3, 3, -1?
-1
Which is the closest to 2? (a) 2 (b) -3 (c) -0.1 (d) 3/5
a
What is the closest to 0.1 in 1, -2/7, -1/8, -2?
-1/8
What is the closest to 1 in -3/5, 11, -0.5?
-0.5
What is the closest to -2/5 in 0, 0.03, 1, 1/4?
0
What is the nearest to 0.2 in -0.5, 4, 1, 0.4?
0.4
Which is the nearest to 8? (a) 1 (b) 0.1 (c) 3 (d) -3/4
c
What is the nearest to -2/5 in 0.2, -0.2, -3/4, 24?
-0.2
What is the nearest to 2/11 in 2/7, -1.7, 0.7, -1/5?
2/7
What is the nearest to -3 in -5, 0, 0.3?
-5
What is the nearest to 0.01 in -3, 1, 0.1, -21?
0.1
Which is the nearest to -2? (a) -5 (b) -0.5 (c) -6 (d) 3/7
b
Which is the closest to -30? (a) 0 (b) -4 (c) -0.5
b
What is the nearest to 2/7 in 0.1, 9, 5?
0.1
Which is the closest to 1? (a) 2/7 (b) 4 (c) -0.19
a
What is the nearest to 0.4 in -1/4, 2/9, -1, -2/9?
2/9
Which is the nearest to -3? (a) 1/6 (b) 0.4 (c) -0.8 (d) 0.2
c
What is the nearest to -2/71 in -2, -0.3, 0.2, 2?
0.2
What is the nearest to 0.3 in 4, -1005, -1?
-1
Which is the nearest to 0.1? (a) 2/5 (b) -42 (c) 2
a
Which is the closest to 1? (a) -6 (b) -0.4 (c) 2 (d) -0.5
c
What is the nearest to -1/2 in 2/5, 2, 1, -0.2?
-0.2
Which is the nearest to 0.1? (a) -15 (b) 0 (c) -3/8 (d) 2/11
d
Which is the nearest to 0.3? (a) -0.1 (b) -89 (c) -4
a
Which is the nearest to 3/2? (a) -0.6 (b) -6 (c) 0.2
c
What is the closest to -7 in -2, 0.3, -3, -0.3?
-3
Which is the nearest to -5/4? (a) -8 (b) 6 (c) 0 (d) 2/11
c
What is the closest to -1 in 0.4, 96, -4/3?
-4/3
What is the nearest to 3/7 in -1/4, 12/23, 4?
12/23
Which is the closest to -1/4? (a) 4/5 (b) 5 (c) -0.5 (d) 5.3
c
What is the nearest to -0.1 in 0.4, -1/4, -447?
-1/4
What is the nearest to 0.3 in 0.04, 4/9, 1/4?
1/4
Which is the closest to -2? (a) -1/3 (b) 2/3 (c) 6/7 (d) -1/2
d
Which is the nearest to -2/3? (a) 3 (b) 16 (c) 1/13 (d) 1
c
Which is the nearest to 0? (a) 0.2 (b) 0.12 (c) 0
c
Which is the closest to -1.5? (a) 0.1 (b) 3 (c) 4
a
What is the nearest to 2/65 in 2/3, 1, 0.01?
0.01
Which is the nearest to 1? (a) -1.2 (b) 4 (c) 2 (d) 0.2
d
Which is the closest to 0.4? (a) 3 (b) -29 (c) -1/2 (d) -3/7
d
Which is the nearest to 2/3? (a) -3/20 (b) -2/5 (c) 2
a
Which is the nearest to 0? (a) -4 (b) -0.02 (c) 4/17
b
What is the closest to -1/2 in -2, 3, -15?
-2
Which is the closest to -1/2? (a) -2/9 (b) 61 (c) 2
a
Which is the closest to 243? (a) 1/5 (b) -2/17 (c) 0
a
Which is the closest to -74? (a) 3 (b) -1 (c) -2.9
c
What is the closest to -38 in -0.3, -0.4, 2/91?
-0.4
Which is the nearest to 0.2? (a) -0.2 (b) -5 (c) -4 (d) 2
a
Which is the nearest to -5/2? (a) 7 (b) 1 (c) 0.2 (d) 2
c
Which is the closest to -0.01? (a) 11 (b) 0.3 (c) 0.6 (d) -2
b
Which is the closest to -6? (a) -0.2 (b) -5 (c) -0.4
b
Which is the nearest to -1/3? (a) -11 (b) 1/9 (c) 2/3
b
What is the closest to 1/4 in 0.05, 0.2, 2, 5?
0.2
What is the nearest to 2/3 in 1, -5/4, 8, -1
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = -4*x + a + 13 for x.
5
Suppose 0 = -5*t + 2*g + 51 - 10, 0 = 4*t + g - 38. Solve 8 = -5*z + t*z for z.
2
Let r(o) = -o**3 + 4*o**2 + 2*o - 6. Let q(c) = c**2 - 7*c + 4. Let k be q(7). Let u be r(k). Solve u*b + 2*b = 4 for b.
1
Let m(p) = p + 10. Let n be m(-5). Suppose -n*g + 2*g = -15, g = -3*u + 17. Let z = 8 - u. Solve -8*y = -z*y for y.
0
Let t = -5 - -5. Suppose 2*o - 12 = -2*n - 2, t = o + 3*n - 5. Suppose o*q - q - 8 = 0. Solve -q = -4*c - 18 for c.
-4
Let g = -4 + 2. Let c be (4/10)/(g/60). Let n = -6 - c. Solve -n*v + v = 10 for v.
-2
Suppose 0 = 5*b - 0*b - 100. Solve -z - b = 3*z for z.
-5
Suppose 33*v - 61*v = -31*v. Let g(l) = l**3 + 3*l**2 - 5*l - 2. Let j be g(-4). Solve 0 = -v*u + j*u for u.
0
Let m(d) = -d + 6. Let c be m(4). Suppose -16 = c*k + 2*k. Let n be (-18)/(-4) - k/(-8). Solve 0 = -4*j - 0 + n for j.
1
Let z(f) = -f**3 - f**2 + f + 8. Let d be z(0). Suppose -5*u - d = -23. Let t = 20 - 20. Solve t = 3*x + u - 0 for x.
-1
Let n = -35 - -37. Solve 6 = s + n for s.
4
Suppose 4*p - 4 = -3*j, 5*p - 4*j = 14 + 22. Solve p*f - 3 = 1 for f.
1
Let p be 3 - (1 + (-2)/1). Suppose 3*h - p = 2. Solve 20 = 2*y + h*y for y.
5
Let r(z) = -z**2 + 4*z + 5. Let o be r(5). Suppose -3*f - 37 = -4*w - 10, 16 = 2*w - 2*f. Solve o + 3 = -w*q for q.
-1
Let v(q) = -q**3 + 7*q**2 - q + 6. Let w be v(7). Let b(i) = -1 - 2 - 4*i + 1 + 3. Let t be b(w). Solve 0 = t*r - r - 12 for r.
3
Let m(u) = u. Let s be m(5). Suppose 26 = 5*q - d, -s*q - 3*d - 15 = -37. Solve 0*p + 20 = q*p for p.
4
Suppose 0*f = -5*f. Let a = 2 + -2. Let u = f + a. Solve -8*w + 3*w - 25 = u for w.
-5
Let x be 166/(-8) + (-1)/4. Let t = 31 + x. Let c be (-10)/(-3)*12/t. Solve 0 = c*f + 12 + 4 for f.
-4
Let x be -1 - (-2 + (-1 - -2)). Suppose -9*q + 24 = 24. Solve x*f + f + 2 = q for f.
-2
Let g(q) = 2*q - 5*q**3 - 2*q**2 - 2 + 1 + 21*q**3. Let s be g(1). Suppose 6 + 2 = 2*a. Solve -7*r + s = -a*r for r.
5
Let i = -3 + 13. Solve -5*l + 5 = i for l.
-1
Let j(a) = a**3 + 12*a**2 - 16*a - 39. Let o be j(-13). Solve 0 = 3*c - 12 - o for c.
4
Let x(u) = u**2 + 13*u - 9. Let s be x(-14). Solve -s = 2*t - 1 for t.
-2
Suppose -7*z + 3*z = -24. Suppose 0 = -3*o + 5 + 1. Let d be 2*(o + 0 - -3). Solve q = z*q + d for q.
-2
Let q = 4 + -2. Suppose -q*u - 10 = -30. Let l be ((-6)/(-7))/(2/14). Solve -l*s + s = u for s.
-2
Let q = 18 - 11. Let r be 4/6*(-3)/1. Let o be (3/r)/(6/(-8)). Solve 3 = o*d - q for d.
5
Let k(r) = -r**3 + 5*r**2 - 4*r. Let p be k(4). Solve -t + 2*t - 3 = p for t.
3
Let k(g) be the first derivative of g**4/4 + g**3 + 2*g - 1. Let q be k(-3). Solve -y = q*y + 6 for y.
-2
Let a = 20 + -19. Solve 2*l + 5 = a for l.
-2
Let t = 3 - 3. Suppose -2*g = -t*g - 8. Suppose 0 = -3*h - 5*l + 7, -12 = -h - h + g*l. Solve h*u - 12 = u for u.
4
Let x(r) = 3*r**2 + 2*r + 1. Let l = 1 - 3. Let j = l + 1. Let t be x(j). Solve t = 3*f - f for f.
1
Let o = -22 + 24. Suppose z = 1 - 0, o*w + 1 = 5*z. Solve w*r = 5*r for r.
0
Suppose -2*h = 2*h + y - 12, 0 = -5*y - 20. Suppose -f = -3*p, 2*p = -h*f - p. Solve 3*o = -f*o - 15 for o.
-5
Let d(r) = 2*r**2 + 3*r + 3. Let m be d(-3). Solve 0*p - m = -4*p for p.
3
Suppose 4*q = 7*a - 2*a + 23, -22 = 4*a - 5*q. Let g(h) = h**2 + 3*h + 2. Let t be g(a). Solve 3 + 3 = -t*j for j.
-3
Suppose 2*m - 2 = 2. Let v = 10 - 3. Suppose -5*q + 20 = 5. Solve m*d + q = v for d.
2
Let i be 0 - (-22 + 1 + 0). Suppose 29 = 3*b - 4*v, -51 + 28 = -b + 4*v. Solve -b*y = -6 + i for y.
-5
Let q be 86/(-18) + (-10)/45. Let z be (-3)/(-15) - (-1)/q. Solve z + 5 = -h for h.
-5
Let z = -4 + 7. Let x(c) = c**2 - c + 2. Let a be x(0). Suppose 5*b - 3*y = 0, y = -a*b - 0*b. Solve b = z*s - 3 for s.
1
Let z be 7 + 0/((-5)/((-10)/(-4))). Solve 0 = -3*m + z - 1 for m.
2
Suppose 9 = -5*i - 4*t - 9, 4*t = 3*i + 30. Let k(s) = 7*s. Let a(o) = -20*o - 1. Let f(b) = -6*a(b) - 17*k(b). Let y be f(i). Solve -6 = 3*g - y for g.
-2
Let t(k) = k**2 - 4*k - 10. Let u be t(6). Solve -3*a - u = 13 for a.
-5
Let k be ((-1)/(-1) - -1) + -1. Let b be (-33)/(-3) + 1/k. Solve 0 = 5*a + b + 13 for a.
-5
Let w(i) = i**3 - 3*i + 2. Let l = 2 - 0. Let k be w(l). Solve -6*g = -k*g for g.
0
Let k = -105 - -107. Solve k*i - 3 - 1 = 0 for i.
2
Let f be (-8)/(-2) - 1*-1. Suppose 4*g = -0*g + 700. Suppose g = f*y + 55. Solve -4*p - 4 + y = 0 for p.
5
Suppose 5*d - 25 = -0*d. Suppose 3*b + 2*q - 32 = -0*q, -4 = -3*b + d*q. Solve 12 = 5*g - b for g.
4
Let d(y) = 3*y - 6. Let p be d(4). Suppose -2*t + 5 + 1 = 0. Let r = -9 + 9. Solve 0 = t*x - p - r for x.
2
Let w(s) = -s**2 + 7*s - 4. Let q be w(6). Solve -3*z = q - 14 for z.
4
Suppose 3*w - 2 = 4. Solve 3 = -w*s + s for s.
-3
Let s(i) = -4*i - 9. Let y be s(-6). Suppose 4*p - y = 5. Solve 0 = p*v - 2 + 17 for v.
-3
Let j = -11 - -11. Suppose 2*i + j = 5*u - 17, 4*u - 17 = 5*i. Solve -6 = 3*b + u for b.
-3
Suppose -3*f = -2*s + 12, -2*s = 3*s. Let m(o) = o**2 + 2*o - 5. Let l be m(f). Solve 0*q = 3*q + l for q.
-1
Suppose -3*g - 3*n = -39, -g - 51 = -5*g - 5*n. Let f = g - 10. Suppose -24 = -3*b + 2*b + 5*z, 4*z - 24 = -f*b. Solve -4*j = -b*j for j.
0
Let j(o) = o**2 + 2*o - 1. Let y(t) = t**2 + 7*t - 7. Let u be y(-8). Let i be j(u). Solve -n + 6 = i*n for n.
2
Suppose -5*t + 0*x + 2 = x, -4*t = 4*x - 8. Let k = -1 - t. Let w be (-3 - -1) + (1 - k). Solve w*f = -f - 1 for f.
-1
Let v(j) = j**2 + 5*j - 21. Let p be v(-8). Solve 0 = -q - p + 2 for q.
-1
Suppose 7 = -5*g + 22. Let j = 9 + -5. Let d = 4 - j. Solve d = -3*a - g - 0 for a.
-1
Suppose -4*k + 5 + 15 = 0. Solve -k*s - 16 + 1 = 0 for s.
-3
Let o(y) = -y**3 + y**2 + 4*y - 2. Let m be o(3). Suppose 2*g + 5*v = -1 + 5, 0 = 3*g + 5*v - 16. Let h = g + m. Solve -h*f - 25 = f for f.
-5
Let z be (0 + 0)*(-22)/22. Solve -2*q - q + 9 = z for q.
3
Suppose 0 = 3*y + 2*y. Suppose 0 = 7*f - 2*f. Let z = y - f. Solve 4*h + 9 + 3 = z for h.
-3
Let t = 21 + -17. Solve -c = c - t for c.
2
Let y be -4 - (-1 + 2)*1. Let d(s) = -s**3 - 5*s**2 + 4. Let x be d(y). Suppose x = 5*f - 11. Solve 8 = r + f*r for r.
2
Let w(o) = 7*o**2 + 2*o - 1. Let q be w(1). Suppose -4*x - q*l + 3*l = 36, 4*x + 8 = 2*l. Let s = -1 - x. Solve -s*j - 8 = -2 for j.
-2
Let y = 4 + -4. Suppose y*x + 3*x - 6 = 0. Suppose -2*h + x + 2 = 0. Solve -1 = -h*k + 5 for k.
3
Let q(f) = -f**3 - 13*f**2. Let l be q(-13). Solve -4*s - s = l for s.
0
Let w = -6 - -8. Let o = w + -1. Solve 3*l - 13 = -o for l.
4
Suppose 3*f = k - 9 + 1, -f + 19 = 4*k. Suppose 23 = -k*d - 12. Let p = -4 - d. Solve p*r - r + 8 = 0 for r.
-4
Let b(y) = y + 4. Let i be b(-4). Suppose -m - 2 = 0, -6 = -2*u - m - 0. Suppose -u*k - 3*g + 15 = i, 0 = 4*k - 3*g - 0*g - 9. Solve -5*a - 2 = k for a.
-1
Suppose 2*w + 8 = 2*j - 22, -4*j + 45 = w. Let m(r) = r**2 + 6*r + 9. Let k be m(-8). Let l = k - 22. Solve j = -5*d - l for d.
-3
Let b be ((-30)/35)/((-2)/14). Let f be (2 - (-2 + b))*-1. Solve 8 = -f*g + 2 for g.
-3
Let n(q) = q**3 + 6*q**2 + 7*q + 4. Let t be n(-5). Let k = -89 - -128. Let v be ((-20)/t + -3)*k. Solve 0 = -4*w + 3 + v for w.
4
Suppose -3*k + 7 - 16 = -5*v, 3*v - 13 = -2*k. Suppose -k*d + 3 = -3. Solve 3*a + 0 = -d for a.
-1
Let u(t) = -t**2 + 14*t + 14. Let d be u(15). Let o be (-18)/6 - (-4 - d). Solve a + a - 10 = o for a.
5
Let p = -5 - -5. Suppose f + p*f = 0. Solve 2*a - 3 - 1 = f for a.
2
Let j(r) = -5*r**3 - 2*r + 1. Let m be j(1). Let u = m - -8. Solve -u*d - 9 = d for d.
-3
Let s(q) be the first derivative of q**2/2 - 8. Let a be s(4). Solve -a*c + c = 0 for c.
0
Suppose -2 - 2 = -4*b. Solve 4*a + 19 + b = 0 for a.
-5
Suppose -3 + 11 = 2*u. Solve -u*v + 2 - 18 = 0 for v.
-4
Suppose 0*u - 5*u + 30 = 0. Suppose 16 = -2*q - 2*h + 42, -47 = -3*q + h. Let k = -66 - -69. Solve u*f = k*f - q for f.
-5
Suppose -3*i + 30 = 2*i. Let g = -3 + i. Suppose 0 = 6*z - 2*z. Solve g*h + 0 - 6 = z for h.
2
Let y be ((-5)/4)/(2/8). Let v = y + 8. Suppose z - 3*z = -10. Solve z = 4*o - v for o.
2
Let x be 26/169 + (15/(-13) - -1). Solve c + 3*c - 8 = x for c.
2
Suppose 6 = 2*b - 2. Solve 12 - b = -2*t for t.
-4
Let q(g) = 2*g**2 + 2*g - 2. Suppose -4*d = 5 + 3. Let t be q(d). Let a = 145 + -141. Solve t*c - a = -0 for c.
2
Suppose -6*a + 3*a + 18 = 0. Let r = -155 + 157. Solve 14 - a = r*k for k.
4
Let g = 5 + -2. Suppose 2*k = 11 + g. Let s = -4 + k. Solve 0 = s*u - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
ist the prime factors of 753372.
2, 3, 17, 1231
List the prime factors of 450672.
2, 3, 41, 229
List the prime factors of 1182349.
7, 67, 2521
List the prime factors of 4142057.
19, 218003
What are the prime factors of 25870427?
11, 2351857
What are the prime factors of 14484747?
3, 4828249
List the prime factors of 1056593.
367, 2879
What are the prime factors of 6180451?
29, 213119
What are the prime factors of 150814?
2, 75407
List the prime factors of 3797240.
2, 5, 59, 1609
What are the prime factors of 7159903?
19, 376837
List the prime factors of 4893578.
2, 59, 113, 367
List the prime factors of 673436.
2, 19, 8861
What are the prime factors of 1790531?
1790531
List the prime factors of 4426873.
11, 402443
What are the prime factors of 11450038?
2, 1171, 4889
What are the prime factors of 9050364?
2, 3, 59, 4261
What are the prime factors of 2144978?
2, 11, 97499
What are the prime factors of 420293?
420293
List the prime factors of 94549.
7, 13, 1039
What are the prime factors of 37187852?
2, 13, 715151
What are the prime factors of 823939?
17, 2851
What are the prime factors of 13952842?
2, 6976421
List the prime factors of 43879.
11, 3989
What are the prime factors of 4716815?
5, 943363
What are the prime factors of 39086?
2, 19543
What are the prime factors of 589001?
7, 84143
List the prime factors of 24048.
2, 3, 167
List the prime factors of 24020899.
7, 1279, 2683
What are the prime factors of 4486829?
4486829
What are the prime factors of 100225?
5, 19, 211
What are the prime factors of 9050142?
2, 3, 1013, 1489
What are the prime factors of 3648894?
2, 3, 43, 14143
What are the prime factors of 11699403?
3, 3899801
List the prime factors of 73524.
2, 3, 11, 557
List the prime factors of 415368.
2, 3, 641
What are the prime factors of 3689737?
479, 7703
What are the prime factors of 290276?
2, 7, 1481
List the prime factors of 589066.
2, 313, 941
What are the prime factors of 1593103?
331, 4813
List the prime factors of 510228.
2, 3, 14173
What are the prime factors of 3476701?
643, 5407
List the prime factors of 3588464.
2, 11, 20389
What are the prime factors of 346947?
3, 109, 1061
What are the prime factors of 150847?
150847
List the prime factors of 406695.
3, 5, 19, 1427
List the prime factors of 722705.
5, 144541
What are the prime factors of 6268191?
3, 2089397
What are the prime factors of 1456949?
13, 37, 233
What are the prime factors of 92463?
3, 7, 17, 37
List the prime factors of 27280.
2, 5, 11, 31
List the prime factors of 5797404.
2, 3, 161039
What are the prime factors of 226059?
3, 75353
What are the prime factors of 17987550?
2, 3, 5, 7, 37, 463
List the prime factors of 124927.
11, 41, 277
What are the prime factors of 604565?
5, 13, 71, 131
List the prime factors of 16786.
2, 7, 11, 109
What are the prime factors of 2829882?
2, 3, 11, 53, 809
List the prime factors of 5780169.
3, 642241
What are the prime factors of 78967?
7, 29, 389
List the prime factors of 25341.
3, 8447
What are the prime factors of 58729?
11, 19, 281
What are the prime factors of 8882854?
2, 43, 103289
What are the prime factors of 6746973?
3, 2248991
List the prime factors of 513737.
7, 79, 929
List the prime factors of 6986271.
3, 101, 23057
What are the prime factors of 285483?
3, 11, 41, 211
What are the prime factors of 340417?
7, 11, 4421
List the prime factors of 1610763.
3, 7, 11, 19, 367
What are the prime factors of 373048?
2, 13, 17, 211
List the prime factors of 2607639.
3, 251, 3463
List the prime factors of 1379481.
3, 73, 6299
What are the prime factors of 48476?
2, 12119
List the prime factors of 56650.
2, 5, 11, 103
What are the prime factors of 269459?
467, 577
List the prime factors of 11644185.
3, 5, 7, 43, 2579
List the prime factors of 6048337.
43, 140659
What are the prime factors of 60339?
3, 20113
What are the prime factors of 1487404?
2, 371851
What are the prime factors of 16416593?
16416593
What are the prime factors of 14763727?
11, 191, 7027
What are the prime factors of 1897980?
2, 3, 5, 7, 4519
What are the prime factors of 1255104?
2, 3, 2179
What are the prime factors of 504593?
504593
What are the prime factors of 2691413?
43, 62591
List the prime factors of 12754913.
17, 163, 4603
What are the prime factors of 284474?
2, 142237
What are the prime factors of 1662238?
2, 887, 937
List the prime factors of 120530.
2, 5, 17, 709
What are the prime factors of 3892011?
3, 1297337
What are the prime factors of 21143?
21143
What are the prime factors of 1612010?
2, 5, 161201
List the prime factors of 18457135.
5, 47, 78541
What are the prime factors of 133151?
47, 2833
What are the prime factors of 4221212?
2, 1055303
List the prime factors of 3157334.
2, 199, 7933
What are the prime factors of 13285406?
2, 1877, 3539
List the prime factors of 4730250.
2, 3, 5, 7, 17, 53
List the prime factors of 7155495.
3, 5, 19, 8369
List the prime factors of 917845.
5, 183569
List the prime factors of 3137120.
2, 5, 7, 2801
List the prime factors of 23070715.
5, 1697, 2719
What are the prime factors of 882985?
5, 176597
List the prime factors of 2200009.
7, 43, 7309
What are the prime factors of 132135?
3, 5, 23, 383
What are the prime factors of 101113?
101113
What are the prime factors of 1983790?
2, 5, 19, 53, 197
What are the prime factors of 7692326?
2, 3846163
What are the prime factors of 14470420?
2, 5, 29, 61, 409
What are the prime factors of 1079499?
3, 151, 2383
List the prime factors of 2294506.
2, 1147253
List the prime factors of 3819696.
2, 3, 17, 31, 151
What are the prime factors of 54593?
7, 11, 709
List the prime factors of 47844.
2, 3, 443
What are the prime factors of 301300?
2, 5, 23, 131
List the prime factors of 10805.
5, 2161
List the prime factors of 18583480.
2, 5, 464587
List the prime factors of 8954124.
2, 3, 746177
List the prime factors of 3453836.
2, 673, 1283
What are the prime factors of 2526012?
2, 3, 19, 1231
What are the prime factors of 166152?
2, 3, 7, 23, 43
List the prime factors of 388817.
11, 13, 2719
What are the prime factors of 447438?
2, 3, 74573
List the prime factors of 360811.
11, 32801
List the prime factors of 138641.
138641
What are the prime factors of 273408?
2, 3, 89
What are the prime factors of 93263?
93263
What are the prime factors of 826965?
3, 5, 17, 23, 47
List the prime factors of 1574985.
3, 5, 104999
List the prime factors of 173709.
3, 19301
What are the prime factors of 1920847?
17, 103, 1097
What are the prime factors of 1586078?
2, 13, 53, 1151
What are the prime factors of 770088?
2, 3, 11, 2917
List the prime factors of 4054744.
2, 506843
List the prime factors of 12743059.
7, 37, 49201
List the prime factors of 34900260.
2, 3, 5, 719, 809
What are the prime factors of 58648?
2, 7331
List the prime factors of 683924.
2, 19, 8999
What are the prime factors of 2065728?
2, 3, 7, 29, 53
What are the prime factors of 1414482?
2, 3, 235747
What are the prime factors of 9083521?
9083521
What are the prime factors of 24895202?
2, 12447601
List the prime factors of 199836.
2, 3, 7, 13, 61
What are the prime factors of 10745011?
373, 28807
List the prime factors of 4847597.
4847597
List the prime factors of 10506704.
2, 13, 50513
List the prime factors of 6574364.
2, 1643591
What are the prime factors of 123419?
123419
What are the prime factors of 30172687?
30172687
List the prime factors of 602726.
2, 301363
What are the prime factors of 16738641?
3, 23, 80863
List the prime factors of 12132679.
13, 17, 41, 103
What are the prime factors of 639823?
331, 1933
List the prime factors of 15871625.
5, 7, 11, 17, 97
What are the prime factors of 1884372?
2, 3, 7, 22433
What are the prime factors of 297967?
297967
What are the prime factors of 418968?
2, 3, 11, 23
What are the prime factors of 632669?
632669
List the prime factors of 11751769.
11751769
List the prime factors of 840509.
149, 5641
What are the prime factors of 4202696?
2, 113, 4649
List the prime factors of 5355887.
5355887
List the prime factors of 314464.
2, 31, 317
What are the prime factors of 24279131?
19, 1277849
What are the prime factors of 320702?
2, 41, 3911
What are the prime factors of 148850?
2, 5, 13, 229
List the prime factors of 108342.
2, 3, 13, 463
What are the prime factor
|
{
"pile_set_name": "DM Mathematics"
}
|
o - 4 = 0.
-2/9, 1/6, 2/5, 1
Factor 35*n**2 - 470*n - 280.
5*(n - 14)*(7*n + 4)
Factor 3*u**2 + 453*u + 894.
3*(u + 2)*(u + 149)
What is c in -4*c**2 + 20*c + 56 = 0?
-2, 7
Factor 3*h**2 + 1404*h + 4185.
3*(h + 3)*(h + 465)
Factor -2*d**2/7 - 40*d/7 - 150/7.
-2*(d + 5)*(d + 15)/7
Let -12*t**2 + 5800*t + 3872 = 0. Calculate t.
-2/3, 484
Solve -4*i**3/3 + 2348*i**2/3 - 114464*i - 115248 = 0.
-1, 294
Factor -f**4/4 + 3*f**3 - 5*f**2/2 - 3*f + 11/4.
-(f - 11)*(f - 1)**2*(f + 1)/4
What is k in 2*k**5/19 - 24*k**4/19 + 22*k**3/19 = 0?
0, 1, 11
Factor 4*u**2/5 + 904*u/5 + 51076/5.
4*(u + 113)**2/5
Factor -2*x**2 + 24*x + 56.
-2*(x - 14)*(x + 2)
Let k**2/4 - 25*k/2 + 24 = 0. Calculate k.
2, 48
Factor b**4/9 - 14*b**3/3 + 41*b**2/9.
b**2*(b - 41)*(b - 1)/9
Factor 4*o**4/7 + 400*o**3/7 - 1224*o**2/7 + 176*o - 412/7.
4*(o - 1)**3*(o + 103)/7
Factor -21*r**2/5 + 96*r/5 - 15.
-3*(r - 1)*(7*r - 25)/5
Determine m, given that -2*m**2/9 - 3860*m/9 = 0.
-1930, 0
Factor 3*t**5 - 15*t**4 - 66*t**3 - 48*t**2.
3*t**2*(t - 8)*(t + 1)*(t + 2)
Factor 20*s**3 + 155*s**2 + 100*s - 35.
5*(s + 1)*(s + 7)*(4*s - 1)
Factor -108*b**5 - 108*b**4 - 36*b**3 - 4*b**2.
-4*b**2*(3*b + 1)**3
Factor k**3/3 + 670*k**2 + 448900*k + 300763000/3.
(k + 670)**3/3
Determine g so that 2*g**4/3 + 2*g**3/3 - 22*g**2/3 - 6*g + 12 = 0.
-3, -2, 1, 3
Factor -3*v**2 - 12384*v - 12780288.
-3*(v + 2064)**2
Factor -y**2/2 + 5*y/2 + 150.
-(y - 20)*(y + 15)/2
Factor 5*z**3 - 515*z**2 + 13515*z - 13005.
5*(z - 51)**2*(z - 1)
Factor 45*x**3 - 350*x**2 + 640*x + 160.
5*(x - 4)**2*(9*x + 2)
What is p in 5*p**3 + 100*p**2 = 0?
-20, 0
Factor -4*x**2 - 28*x.
-4*x*(x + 7)
Suppose -x**4/2 + 77*x**3/2 - 363*x**2/2 + 207*x/2 + 324 = 0. Calculate x.
-1, 3, 72
Let -i**2/4 - 2887*i/4 - 1443/2 = 0. Calculate i.
-2886, -1
Let l**2/8 + 144*l + 41472 = 0. What is l?
-576
Suppose -i**5 - 10*i**4 - 25*i**3 + 20*i**2 + 116*i + 80 = 0. Calculate i.
-5, -4, -2, -1, 2
Factor -2*z**2/13 + 180*z/13 - 1600/13.
-2*(z - 80)*(z - 10)/13
Solve -3*k**4/4 - 7*k**3/2 + 23*k**2/4 - 3*k/2 = 0 for k.
-6, 0, 1/3, 1
Let v**3/10 - 5*v**2/2 - 13*v/5 = 0. What is v?
-1, 0, 26
Factor 10*t**4 - 34*t**3 + 32*t**2 - 8*t.
2*t*(t - 2)*(t - 1)*(5*t - 2)
Factor -2*o**3 - 16*o**2 + 38*o - 20.
-2*(o - 1)**2*(o + 10)
Determine l, given that -2*l**3/7 - 4*l**2/7 + 30*l/7 = 0.
-5, 0, 3
Factor -m**4 + 31*m**3/3 - 58*m**2/3 + 16*m/3.
-m*(m - 8)*(m - 2)*(3*m - 1)/3
Factor -2*f**3/21 - 86*f**2/7 - 3698*f/7 - 159014/21.
-2*(f + 43)**3/21
Let 4*p**2 + 5020*p = 0. Calculate p.
-1255, 0
Factor 4*n**4 + 52*n**3 + 252*n**2 + 540*n + 432.
4*(n + 3)**3*(n + 4)
Find c such that -68121*c**2 + 3654*c - 49 = 0.
7/261
Solve -2*q**5 - 68*q**4 + 174*q**3 + 1008*q**2 - 2592*q = 0.
-36, -4, 0, 3
Find m such that -m**3/5 - 13*m**2/5 + 329*m/5 - 1323/5 = 0.
-27, 7
Factor f**2/2 - 653*f/2 - 327.
(f - 654)*(f + 1)/2
What is c in 2*c**4/7 + 18*c**3/7 - 90*c**2/7 - 226*c/7 - 120/7 = 0?
-12, -1, 5
Determine y, given that 3*y**3/5 - 30*y**2 - 159*y/5 + 306/5 = 0.
-2, 1, 51
What is y in -2*y**2/7 + 404*y/7 + 1648/7 = 0?
-4, 206
Factor -5*f**3/4 + 9*f**2/8 + 3*f/8 - 1/4.
-(f - 1)*(2*f + 1)*(5*f - 2)/8
Factor 12*d**2 + 3*d/2.
3*d*(8*d + 1)/2
Let -v**2/2 + 21*v + 135/2 = 0. Calculate v.
-3, 45
Find g such that -4*g**2 - 28*g + 72 = 0.
-9, 2
Factor l**3/2 + 23*l**2/2 + 25*l - 100.
(l - 2)*(l + 5)*(l + 20)/2
What is v in 3*v**3 + 1197*v**2 + 159201*v + 7057911 = 0?
-133
Solve -4*h**2 + 1620*h + 6544 = 0 for h.
-4, 409
Factor i**2 - 3496*i - 3497.
(i - 3497)*(i + 1)
Factor w**5 + 19*w**4 + 78*w**3 + 116*w**2 + 56*w.
w*(w + 1)*(w + 2)**2*(w + 14)
Factor 6*g**3 - 224*g**2 + 494*g - 140.
2*(g - 35)*(g - 2)*(3*g - 1)
Find c such that -c**2 + 77*c + 78 = 0.
-1, 78
Suppose 4*x**3/7 + 48*x**2/7 - 4*x/7 - 48/7 = 0. What is x?
-12, -1, 1
Factor u**2/6 - 338*u/3 + 57122/3.
(u - 338)**2/6
Factor -60*q**2 - 148*q - 56.
-4*(q + 2)*(15*q + 7)
Find u such that u**4/5 + 94*u**3/5 + 2301*u**2/5 + 4324*u/5 + 2116/5 = 0.
-46, -1
What is t in 3*t**2 - 300*t + 7500 = 0?
50
What is g in 3*g**2/5 + 6624*g/5 - 6627/5 = 0?
-2209, 1
Solve -2*n**4/3 - 2*n**3 + 2*n**2/3 + 2*n = 0 for n.
-3, -1, 0, 1
Solve -28*j**5 + 172*j**4/3 + 56*j**3/3 - 112*j**2/3 - 32*j/3 = 0.
-2/3, -2/7, 0, 1, 2
Find f, given that -2*f**5 - 214*f**4 - 5390*f**3 + 18150*f**2 = 0.
-55, 0, 3
Solve -4*n**5/9 - 13*n**4/9 + 11*n**3/3 - 11*n**2/9 - 5*n/9 = 0.
-5, -1/4, 0, 1
Factor 2*n**2/3 + 6*n - 108.
2*(n - 9)*(n + 18)/3
Suppose -3*s**2 + 1353*s + 1356 = 0. Calculate s.
-1, 452
Factor 21*c**5 + 135*c**4 + 243*c**3 + 81*c**2.
3*c**2*(c + 3)**2*(7*c + 3)
Factor 2*s**4 + 5232*s**3 + 5132592*s**2 + 2237810112*s + 365881953312.
2*(s + 654)**4
Factor 5*v**3 - 1390*v**2 + 18725*v - 64680.
5*(v - 264)*(v - 7)**2
Solve -2*b**5 - 62*b**4 - 54*b**3 + 190*b**2 + 304*b + 120 = 0 for b.
-30, -1, 2
Suppose 2*f**4/9 - 56*f**3/9 - 58*f**2/9 = 0. What is f?
-1, 0, 29
Factor -175*f**2 + 3320*f + 95.
-5*(f - 19)*(35*f + 1)
Solve 128*v**5/7 - 2400*v**4/7 + 8920*v**3/7 - 830*v**2 + 1380*v/7 - 16 = 0.
1/4, 4, 14
Factor 8*u**2 - 1810*u + 452.
2*(u - 226)*(4*u - 1)
Factor -3*f**2 - 171*f + 3240.
-3*(f - 15)*(f + 72)
Solve -2*l**5/5 + 6*l**4/5 - 2*l**3/5 - 6*l**2/5 + 4*l/5 = 0 for l.
-1, 0, 1, 2
Find z, given that -4*z**3 + 112*z - 192 = 0.
-6, 2, 4
Find x such that 14*x**2/11 + 5520*x/11 + 1576/11 = 0.
-394, -2/7
Suppose 2*x**3 + 210*x**2 - 426*x + 214 = 0. What is x?
-107, 1
Suppose 27*w**2 - 600*w + 132 = 0. What is w?
2/9, 22
Factor -u**4/5 + 11*u**3/5 - 38*u**2/5 + 52*u/5 - 24/5.
-(u - 6)*(u - 2)**2*(u - 1)/5
Suppose -3*k**5/7 + 50*k**4 + 479*k**3/7 - 822*k**2/7 - 68*k + 472/7 = 0. Calculate k.
-2, -1, 2/3, 1, 118
Factor k**2/3 - 130*k/3 - 1400/3.
(k - 140)*(k + 10)/3
Determine x so that -2*x**3 + 32*x**2 + 202*x + 168 = 0.
-4, -1, 21
What is l in -3*l**4 - 27*l**3 - 18*l**2 + 48*l = 0?
-8, -2, 0, 1
Factor 2*y**4/3 - 20*y**3/3 + 46*y**2/3 - 28*y/3.
2*y*(y - 7)*(y - 2)*(y - 1)/3
Factor 4*r**3/7 + 22632*r**2/7 + 32012964*r/7.
4*r*(r + 2829)**2/7
Factor -6*z**2 - 404*z.
-2*z*(3*z + 202)
Find f, given that f**2/3 - 127*f/3 + 250/3 = 0.
2, 125
Factor 3*g**3/4 - 33*g**2/4 - 9*g.
3*g*(g - 12)*(g + 1)/4
Determine v so that 3*v**2/7 - 174*v/7 + 648/7 = 0.
4, 54
Solve 2*c**2 - 12*c - 54 = 0.
-3, 9
Factor 2*j**5/3 - 62*j**4/3 - 268*j**3/3 - 412*j**2/3 - 278*j/3 - 70/3.
2*(j - 35)*(j + 1)**4/3
Factor 5*o**2 - 1115*o - 1120.
5*(o - 224)*(o + 1)
Factor n**3 + 3*n**2 - 18*n - 40.
(n - 4)*(n + 2)*(n + 5)
Let 25*j**2/2 + 2315*j/2 - 5335 = 0. What is j?
-97, 22/5
Factor 2*d**2 - 22*d + 56.
2*(d - 7)*(d - 4)
Factor 4*v**2 + 328*v.
4*v*(v + 82)
Determine c so that 7*c**3/5 - 61*c**2/5 - 18*c/5 = 0.
-2/7, 0, 9
Find i such that -i**5/4 - 3*i**4/2 - 3*i**3 - 5*i**2/2 - 3*i/4 = 0.
-3, -1, 0
Factor 4*n**3 + 144*n**2 + 132*n - 280.
4*(n - 1)*(n + 2)*(n + 35)
Find i, given that -2*i**3 + 26*i**2 - 80*i + 72 = 0.
2, 9
Suppose 2*c**2/7 - 6*c/7 + 4/7 = 0. What is c?
1, 2
Suppose -3*g**4/8 - 3*g**3/2 + 3*g**2/4 + 9*g/2 - 27/8 = 0. What is g?
-3, 1
Let -2*x**4/15 + 6*x**3/5 - 58*x**2/15 + 26*x/5 - 12/5 = 0. Calculate x.
1, 2, 3
Find b such that 8*b**5/3 - 2158*b**4 + 1313810*b**3/3 - 544592*b**2 + 326432*b/3 = 0.
0, 1/4, 1, 404
Let 10*h**5 - 2*h**4 - 60*h**3 - 68*h**2 - 14*h + 6 = 0. What is h?
-1, 1/5, 3
Suppose -5*w**2 + 340*w = 0. What is w?
0, 68
Let -3*t**2 - 198*t - 1239 = 0. Calculate t.
-59, -7
What is a in a**3 + 2*a**2 - 4*a - 8 = 0?
-2, 2
Factor w**4/5 - 96*w**3/5 - 819*w**2/5 - 1346*w/5 - 624/5.
(w - 104)*(w + 1)**2*(w + 6)/5
Factor 5*x**3 + 270*x**2 + 3240*x.
5*x*(x + 18)*(x + 36)
Determine n, given that 3*n**4 - 288*n**3/5 - 573*n**2/5 + 126*n/5 = 0.
-2, 0, 1/5, 21
Solve 2*w**4/3 - 8*w**3/9 - 26*w**2/9 - 4*w/3 = 0.
-1, -2/3, 0, 3
Factor -4*n**2 + 80*n + 896.
-4*(n - 28)*(n + 8)
Let -2*j**3 - 122*j**2 - 238*j - 118 = 0. Calculate j.
-59, -1
Factor 2*m**5/9 - m**4/9 - m**3/3.
m**3*(m + 1)*(2*m - 3)/9
What is a in 2*a**5/15 + 6*a**4/5 + 26*a**3/15 - 22*a**2/5 - 28*a/15 + 16/5 = 0?
-6, -4, -1, 1
Solve g**5/3 + 2*g**4/3 - 2*g**2/3 - g/3 = 0 for g.
-1, 0, 1
Factor -v**4/2 - 3*v**3 - 4*v**2 + 3*v + 9/2.
-(v - 1)*(v + 1)*(v + 3)**2/2
Factor -2*m**2/9.
-2*m**2/9
Factor -3*j**3/2 - 11*j**2 - 16*j + 16.
-(j + 4)**2*(3*j - 2)/2
Factor k**3 - 17*k**2 + 52*k + 180.
(k - 10)*(k - 9)*(k + 2)
Suppose
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{
"pile_set_name": "DM Mathematics"
}
|
Let w(r) = -2*r**2 + 2*r + 5. Let k be w(3). Let i = -3 - k. Suppose -78 + 6 = -i*v. Calculate the highest common factor of 144 and v.
18
Let q be (-59)/((-885)/5445)*(2 + 250/6). Calculate the greatest common factor of 121 and q.
121
Let p(w) = -w**3 - 12*w**2 - 12*w - 10. Suppose -5*n = -22*n - 187. Let h be p(n). Let g = 8 + -3. What is the greatest common factor of h and g?
1
Suppose 0 = k - 7*k + 846. Let c = -113 + k. What is the greatest common divisor of 224 and c?
28
Let t be (-69)/(-2) + 4/8. Suppose -5*r + 2*q = -684, 5*q + 520 = -1476*r + 1480*r. What is the greatest common divisor of t and r?
35
Suppose 56 = 12*t - 9*t + 5*y, -64 = -t + 4*y. What is the greatest common factor of t and 6176?
32
Let p be -15*((-22)/(-6) + -4) + 201. Let c = -177 + p. Let f be -2 - 2/1*-59. Calculate the highest common factor of f and c.
29
Let q be (-182)/7*-5*6/(-4). Let p = -174 - q. Calculate the highest common factor of p and 105.
21
Suppose -446 - 50 = -5*b + 4*k, -2*k - 296 = -3*b. Let a = -81 + b. Let u = a + 21. What is the greatest common factor of u and 288?
36
Suppose 3*p - 1194 - 1584 = 0. Suppose -8*l + p = -106. Let c = l + -29. What is the highest common divisor of 40 and c?
20
Suppose 2*b - 6*b = -80. Suppose 0 = 5*m - 3*m - b. Let x be (24/28)/6 + 1026/266. What is the highest common factor of x and m?
2
Let j(r) = -r**3 - 37*r**2 - 3*r - 86. Let n be j(-37). Let f be (2 - 44/(-3))/((-10)/(-285)). What is the greatest common divisor of n and f?
25
Let q be (((-6)/7)/(19/(-2394)))/2. Suppose -460*x = -478*x + q. Suppose -2*t + 3*y + 3 = t, 4*t - 8 = 2*y. What is the highest common divisor of x and t?
3
Let q = -177 + 231. Suppose -3*v = 2*v + 10, -q = -2*h - 3*v. Let x be -24*((-20)/8 + 0). Calculate the highest common divisor of h and x.
30
Let u = 150 - 33. Let f = 286 - 282. Suppose -4*h = 5*c - 81, 3*h - 27 - 37 = -f*c. Calculate the greatest common factor of u and c.
13
Let t be 168*((-6)/(-4))/1. Let p be (3 - (-95)/(-25))/(2/(-20)). Suppose p*z + t = 14*z. What is the highest common divisor of z and 84?
42
Let i be -12 + (-19131)/(-7) - -9. What is the greatest common factor of i and 28?
14
Let t(f) = 17*f**3 + 39*f**2 - 43*f + 13. Let o be t(5). Calculate the greatest common divisor of o and 1134.
126
Suppose 12*p - 14*p = -66. Let h be ((-2)/((-3)/p*2))/1. Let j = 17 - h. What is the greatest common divisor of 4 and j?
2
Let t = 67 + -319. Let j(s) = -s**3 + 8*s**2 - 7*s - 1. Let p be j(7). Let v be (p/(6/(-4)))/((-8)/t). Calculate the highest common factor of 21 and v.
21
Suppose 4*r - 1 = 19. Suppose a - 365 = -r*s, -s + 49 = 3*a - 38. Suppose -9*l + 11*l = s. Calculate the highest common factor of 12 and l.
12
Let a be ((-3)/(15/80))/1. Let u be (-4)/a - 729/(-12). Suppose 0 = 7*k - u + 12. Calculate the highest common factor of k and 7.
7
Suppose 0 = -4*c + 32, -9*h = -14*h + 3*c + 2976. What is the greatest common factor of h and 516?
12
Let r(h) = -1142*h + 24. Let b be r(-3). What is the highest common factor of b and 600?
150
Suppose 138*b - 8996 = 664. Calculate the greatest common factor of 39830 and b.
70
Let d(c) = c**3 + 76*c**2 + 354*c - 27. Let o be d(-71). What is the highest common factor of 256 and o?
4
Let u be (7 - 5) + 4 + 41. Let w be 4 - 1/(7/(-630)). What is the greatest common divisor of u and w?
47
Suppose -11*z + 12091 = 3049. What is the greatest common divisor of z and 30?
6
Let s = 2016 + -1998. Suppose 0 = -4*z - 5*r + 2947, -2*z = -7*z + 2*r + 3692. What is the greatest common factor of s and z?
18
Let t(q) = -q**2 + 2*q**3 + 12 - 5*q - 5*q**2 + 11*q + 0*q**2. Let j be t(6). What is the highest common divisor of j and 33?
33
Let d = 3 - -147. Let c = 178 - d. What is the highest common factor of 70 and c?
14
Let f(w) = w**3 - 7*w**2 + 8*w - 8. Let i be f(7). Let t be 395*(-40)/(-250) + 4/5. Calculate the greatest common divisor of t and i.
16
Let p(m) = 32*m**2 - 20*m + 31. Let w be p(2). Calculate the greatest common factor of w and 255.
17
Suppose 3*g = g - 4, 2*p + 3*g = 24. Suppose -3*k = 4*k - 273. Suppose -k = -2*u - p. What is the greatest common factor of 4 and u?
4
Let c(d) = -197*d - 2651. Let k be c(-39). Calculate the highest common divisor of k and 544.
136
Let o(f) = -29*f**3 - 48*f**2 - 5*f + 37. Let y be o(-8). What is the greatest common factor of y and 9?
9
Suppose -195*n + 8255 - 81119 = -483*n. Calculate the highest common divisor of 99 and n.
11
Let z be 8/(-2) + (133 - 1)/6. Suppose 27*m - 9*m = z. What is the greatest common divisor of m and 11?
1
Suppose -42*b - 44*b + 14520 = -75*b. Calculate the greatest common factor of 66 and b.
66
Suppose -82*s - 7876 = -71*s. Let y = s - -727. What is the highest common factor of y and 55?
11
Suppose 450*u - 13167 = -2367. Let x(l) = -6*l + 2. Let n be x(-2). Let d = n + 22. What is the highest common divisor of u and d?
12
Let v = 20837 - 5157. Calculate the greatest common factor of 480 and v.
160
Let d(g) = -2*g**2 - 23*g - 10. Let u be d(-20). Let k = u + 470. Calculate the greatest common factor of k and 72.
24
Let g(x) = -2*x**2 - 12*x - 5. Let i(b) = -28*b - 115. Let m be i(-4). Let r be g(m). Calculate the greatest common factor of 299 and r.
13
Let g(j) = j**3 - 9*j**2 + 30*j - 162. Let w be g(8). What is the greatest common divisor of w and 208?
2
Suppose 6*f = 8*f. Suppose -7*g = -2*g - t - 2728, f = -4*g - 3*t + 2190. What is the greatest common factor of g and 21?
21
Suppose -5*y + 58 = -4*n + 7*n, 3*y = 4*n + 58. Suppose -y = -r - 0. Suppose 0*u - 224 = -4*u. What is the greatest common divisor of r and u?
14
Let t = 8 + -4. Let b(a) be the third derivative of a**4/6 - 10*a**3/3 - 2*a**2 - 10. Let v be b(16). What is the greatest common factor of v and t?
4
Let t be 102292/44 + (-14)/(-77). Calculate the greatest common divisor of t and 279.
93
Let s = 103 + -39. Let v = -60 + s. What is the greatest common divisor of 68 and v?
4
Let l = 41 - 31. Suppose -l = -r - r. Suppose 0 = r*z + 190 - 490. What is the greatest common divisor of 15 and z?
15
Suppose -7*v - 3128 = -4*o - 9*v, -5*o + 2*v + 3892 = 0. Suppose 0 = 19*f - 31*f + o. What is the greatest common divisor of f and 13?
13
Let p be 40/15*9/(-2). Let i be (1 - (-28)/p) + (-1895)/(-15). Calculate the highest common factor of 5 and i.
5
Let t be ((-64)/6*1)/(45/(-810)). Suppose -189*d = -t*d + 111. What is the greatest common divisor of 37 and d?
37
Let n(k) = -11*k + 394. Let z be n(31). Suppose 16128 = -25*q + z*q. Calculate the highest common factor of 36 and q.
36
Suppose -2*p - 33 = -157. Let l = p + -56. Let c(g) = 5*g - 16. Let j be c(l). Calculate the greatest common divisor of 28 and j.
14
Suppose -y + 4*j = -280, 24*y - 21*y + 2*j = 742. Calculate the highest common divisor of y and 6972.
84
Suppose -31 + 7 = -4*y. Let g = 30 - 25. Let b(v) = 8*v + 2. Let l be b(g). What is the highest common divisor of y and l?
6
Let x = 152 - 53. Let k be ((-332)/10)/((-36)/(-90)). Let y = k - -92. What is the highest common factor of y and x?
9
Let o(k) be the third derivative of 13*k**4/24 + 10*k**3 - 2*k**2 - 7. Let w be o(0). What is the highest common divisor of 20 and w?
20
Let p(d) = 2*d**2 - 4*d + 2. Let z be p(2). Suppose z*n + 21 = -n. Let y be (-12)/84 + (-134)/n. Calculate the highest common divisor of y and 76.
19
Let z(u) = -3*u**3 + 3*u**2 + 7*u + 4. Let i = 4 - 6. Let x be z(i). What is the greatest common factor of 26 and x?
26
Let n(b) = -b**3 + 10*b**2 - 12*b - 15. Let t be n(7). Suppose g = v + 2*v - 67, 5*v + 5*g = 145. Calculate the highest common divisor of t and v.
24
Let a(o) = -o**2 - 134*o - 4459. Let l be a(-63). Calculate the greatest common factor of l and 5740.
14
Suppose 0 = 9*l - 3*l. Suppose l = 3*j - 8*j - 5*f + 475, -435 = -5*j + 5*f. Calculate the highest common factor of 182 and j.
91
Let g be (-2)/(-11) - (-2484)/132. Let r = 13 + g. Suppose -r = -s - 8. Calculate the highest common divisor of s and 12.
12
Let c be (-1)/5 - ((-518)/(-35) + 6). Let g(r) = r**2 + 24*r + 196. Let i be g(c). What is the highest common factor of i and 7?
7
Let l = -364 - -368. Suppose 0*n = 2*n + 10, -76 = -3*w - l*n. Suppose 3*x + 206 - 1262 = 0. Calculate the highest common factor of x and w.
32
Let y = 6816 - -14192. What is the greatest co
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{
"pile_set_name": "DM Mathematics"
}
|
*o + 4*d, -3*o = -5*d + 6*d + 3. Let v be 2/(-3) + (-2)/(-3). Suppose v = p - 20 - o. What is the smallest common multiple of p and 16?
80
Let f = -4943/856 + 16/107. Find the common denominator of 91/22 and f.
88
Let p = 2922/13 - 167303/650. Let c = p - 122/25. Let i = 3832 - 42181/11. Calculate the common denominator of c and i.
22
Suppose 2*b - 50 = -3*b. What is the least common multiple of b and 12?
60
Calculate the least common multiple of 10 and (-16)/(-28) - 31/(-7).
10
Suppose 3*x + 4*y = 47, 5*x - 2*y - 88 = y. What is the least common multiple of x and 5?
85
Let r(l) = 5*l + 6. Calculate the smallest common multiple of 3 + -1 - (0 - 2) and r(0).
12
Let h = -8/387 - -7481/6192. Let x = -470/3 + 5057/30. Find the common denominator of x and h.
80
Let y(w) = w**2 + 11*w - 8. Let a be y(-12). Suppose a*d + 5*b = 0, -5*d - b = -4*b - 37. Calculate the least common multiple of d and 10.
10
Let k = -269703/22 - -12264. Let r = 3/1918 + -47003/7672. Find the common denominator of k and r.
88
Let n = -4679/2534 - -11/181. Let c = 287389/20 + -14364. Calculate the common denominator of n and c.
140
Let n = 26353/14 - 1884. Find the common denominator of 29/14 and n.
14
Suppose 5*y - 41 = -0*y + 3*u, -y + 4*u = -15. Let c = y - 2. What is the smallest common multiple of 7 and c?
35
Find the common denominator of -14/5 and (-901)/85 - (-1)/2.
10
Let h = -33 - -39. Calculate the least common multiple of h and 8.
24
Let u = 1120/3 + -369. Suppose -4*y - 43 + 11 = 4*m, 2*y - 5*m = 12. What is the common denominator of ((744/(-9))/y)/(-6) and u?
9
Suppose 0 = -4*a - 2*n - 18, 3*a = -0*n - 3*n - 18. What is the common denominator of 3/10 and a/(-39)*-9*1?
130
Find the common denominator of -1/4 and 4 + -1 + (-163)/12.
12
Suppose 5*x - 5 = -0. Calculate the smallest common multiple of 16 and x.
16
Find the common denominator of -109/12 and (-88)/15 + (12/(-15) - -1).
12
Calculate the common denominator of -61/6 and ((-33)/72)/(3/(-12)).
6
Let v = 256/21 - 160/21. Calculate the common denominator of v and 15/7.
7
Calculate the least common multiple of 11 and (-161)/(-35) - (-2)/5.
55
What is the common denominator of 2/15 - (-554)/(-180) and (-507)/112 + (-2)/7?
144
Let p(l) = -5*l + 5*l + 0 - 2*l + 1 + l**2 - 10*l**3. Let w be p(1). Calculate the lowest common multiple of w/(-8) - (-2)/(-8) and 4.
4
Suppose 7 + 3 = 5*k. Calculate the least common multiple of (-7)/k*(-120)/42 and 7.
70
Let l(j) = -5*j + j**2 + 8 + j - 2*j - 4*j. Let y be l(8). What is the common denominator of 45/4 and (-71)/y + (-1 - -3)?
8
Suppose 3 = 3*d - 0. Calculate the common denominator of 59/6 and 3 - 15/(-24) - d.
24
Find the common denominator of (-2)/(-7)*(-123)/6 and -31/8.
56
Calculate the common denominator of ((-20)/24)/(-5)*103 and -59/7.
42
Let g = -258163/91 + 19485/7. Let j = g + 11881/234. Calculate the common denominator of -53/16 and j.
144
Let f(z) = z**3 + 10*z**2 - 12*z - 10. Let w be 1 - 0 - 2*6. What is the smallest common multiple of 4*-1*(-7)/4 and f(w)?
7
Suppose -5*p = -26 - 14. Let n(s) = 0 + s**2 - p + 6*s + 1. Calculate the lowest common multiple of 10 and n(-8).
90
Let s be (-6)/(-4)*24/2. Calculate the common denominator of 5/4*81/s and -27/22.
88
Suppose 26 = 2*q + 4*f, 5*q = -2*f - 0*f + 33. Let n = q + 0. Suppose -2*y = 3*y, 0 = -3*g + n*y + 12. Calculate the lowest common multiple of g and 14.
28
Suppose 0*n + 4*n = 108. What is the lowest common multiple of n and 24?
216
Suppose -2*t + 4 + 10 = 0. Calculate the least common multiple of 1/(-2) - (-20)/8 and t.
14
Suppose 2*k = -30 + 74. Suppose -l = -0*l - k. Suppose 6*u - u - 3*t = 16, -t - 2 = 0. Calculate the least common multiple of l and u.
22
Suppose v + 1 = r, v = -5*r - 1 + 12. Suppose 3*p - 112 = -r*p - 2*t, -5 = -5*t. What is the least common multiple of 20 and p?
220
Suppose -3*v + 5*t = -0*v - 37, 0 = 3*t + 15. What is the least common multiple of 16 and v?
16
Let n = -3 + 7. Suppose p = n*p - 24. What is the smallest common multiple of 9 and p?
72
Let s = 371/4 + -106. Calculate the common denominator of 61/14 and s.
28
What is the common denominator of 0 - 1*10*(-49)/168 and -2/7?
84
Let r be ((-3)/6)/((-1)/(-8)). Let o be ((-132)/8)/(3/r). Let n = o - 16. What is the lowest common multiple of n and 20?
60
Calculate the common denominator of 17/27 and 6/21 + 355/(-385).
297
Find the common denominator of 85/4 and (-27)/(-45)*155/(-4).
4
Let h(f) = -f**3 - 2*f**2 - 5*f + 18. Calculate the lowest common multiple of h(0) and (1 - -13 - 0)/1.
126
Let t be 3 - (12/5 + 1). Let i = t - -3/5. What is the common denominator of i and -26?
5
Let u = 562528/7 - 79518. Let f = 848 - u. What is the common denominator of f and -22/7?
7
Suppose 0 = -h, -u - h = -3*u + 68. Suppose 5*a = u - 9. Let q(c) = c**3 - 6*c**2 + 6*c + 5. Calculate the lowest common multiple of 11 and q(a).
110
Let x(h) = -h**3 + 4*h**2 + 2*h - 1. Calculate the lowest common multiple of 8 and x(4).
56
Let i be (-2)/7 - ((-3)/3)/4. Let f be 1/(112/(-130))*1. Let a = f - i. Calculate the common denominator of -51/4 and a.
8
Let g = 5275/6 + -877. Calculate the common denominator of g and (-658)/(-140) - (-1 - 3).
30
Suppose 4*r + x - 3 = 16, -2*x = -4*r + 10. What is the least common multiple of (-16)/(-3)*6/4 and r?
8
Find the common denominator of 69/86 and (332/(-100))/(10/(-25)).
430
Suppose 0 = u + 3*i + 1, 0 = -u - 4*i - i - 3. Calculate the least common multiple of (-21 - -1)*u/(-4) and 16.
80
Let b(m) = -m**3 + 4*m**2 - 3*m + 1. Let c be b(2). Find the common denominator of 3 - (154/32 + c) and 45/4.
16
Let m = -101 - -103. Calculate the least common multiple of m and 2.
2
Find the common denominator of (-14)/12*(-97)/35 and -91/6.
30
Let i be -5*(8/20 + 0). What is the smallest common multiple of i*(-10)/2 - 0 and 4?
20
Let a = -2 + 10. What is the smallest common multiple of 6 and a?
24
Suppose -3*y - 3 = -6*y. Suppose 3*p = -p - 5*m - y, -p - 9 = 3*m. Calculate the least common multiple of 2 and p.
6
Let f = -8 + 13. Let v = -3 + f. Calculate the least common multiple of v and 1.
2
Calculate the common denominator of ((-13)/(234/(-84)))/(64/30) and 1/(-4) + 113/(-20).
80
Let q = 4677/208 + -285/13. Suppose 3 = -5*f - 2. What is the common denominator of (-142)/36 + f/(-3) and q?
144
Let l be (-1 - -7)*6/9. Let d = l - -20. Calculate the least common multiple of 20 and d.
120
Let j be 3 - (6 - 6/2). What is the smallest common multiple of 44 and j + 2 + -3 - -13?
132
Let n(u) = 3*u + 4. What is the lowest common multiple of ((-2)/(-1))/(1/4) and n(6)?
88
Let f(p) = -p**3 - 6*p**2 - 6*p + 2. Let t be f(-5). Suppose -t - 5 = -2*q. What is the least common multiple of 37/q + 5/(-30) and 6?
6
Let u(i) = -i**2 + 10*i + 3. Let d(n) = n**2 - 4*n - 3. Let w be d(-2). Calculate the smallest common multiple of u(w) and 20.
60
Let j = 178 - 44. Find the common denominator of ((-1)/16)/((-1)/(-74)) and 1/1 - j/(-4).
8
Let q be ((-1)/12)/(4/184216). Let v = q - -3819. Find the common denominator of 26/7 and v.
42
Let v = -80 - -89. What is the smallest common multiple of 48 and v?
144
Suppose -130*c + 48 = -127*c. Suppose -2*a = 4 - 32. What is the smallest common multiple of a and c?
112
Let t = 5731/4 - 1415. Let d be 2 + (27552966/550520)/(-7). Let q = 2/13763 - d. Calculate the common denominator of t and q.
20
Let r be (-2)/4 + (-56)/16. Let h(b) = -b + 9. Calculate the smallest common multiple of h(r) and 9.
117
Suppose -76 = -4*k + 3*v, -3*k + 2*v - 22 = -79. Calculate the lowest common multiple of 9 and k.
171
Let i = 5937 - 71297/12. Let g = -16419/28 - -4250/7. Find the common denominator of g and i.
12
Let u = -65431/8268 - 2/689. Calculate the common denominator of u and 11/20.
60
Let q(l) = 15*l**2 - 2*l + 3. Calculate the least common multiple of 4 and q(1).
16
Suppose 4 = -2*s + 22. What is the least common multiple of s and 3?
9
Let f = -15 - -20. Calculate the lowest common multiple of f and (-4)/9*(-18)/4.
10
Let b = 8 - -5. Suppose -2*y + 0*y - 21 = -5*h, -4*y = h - b. Calculate the least common multiple of 3 and h.
15
What is the lowest common multiple of (-132)/(-10) - 28/(-35) and (1*20 + 2)/1?
154
Suppose 3*r - 42 = 6. Find the common denominator of r/(-3) + 9/12 and 2/12*402/14.
84
Let p = -10 + 9.
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the third derivative of 405983747*c**5 - 6379*c**2 - 74*c + 1 wrt c?
24359024820*c**2
What is the second derivative of 4966*g**4 - g**3 + 68*g**2 + 118979*g - 87 wrt g?
59592*g**2 - 6*g + 136
What is the derivative of -8515450*w**2 + 8575998?
-17030900*w
Find the third derivative of -3855*p**5 - 11*p**4 - 201*p**3 - 20451*p**2 - 2281*p.
-231300*p**2 - 264*p - 1206
Find the first derivative of -52*c**2*g**2 + 3*c**2 + 37749*c*g**2 + 250826606*g**2 wrt c.
-104*c*g**2 + 6*c + 37749*g**2
What is the first derivative of 2178*v**2 + 1718*v - 102834713?
4356*v + 1718
What is the third derivative of -1389*w**3*z**2 - 14711*w**3*z + 18*w**2*z**2 + 2*w**2 - 3*w*z**2 - 207*w*z - 16*z wrt w?
-8334*z**2 - 88266*z
Find the first derivative of -60543250*f - 35642638 wrt f.
-60543250
What is the second derivative of -2909*s**4 - 1487*s**3 - 7*s**2 - 569780550*s wrt s?
-34908*s**2 - 8922*s - 14
Find the third derivative of 178431044*p**3 - 805*p**2 + 5030*p + 5 wrt p.
1070586264
What is the second derivative of -172*c**3*o**2*q + 5*c**3*o*q**2 - 33848544*c**2*o**3*q**2 - 753*c**2*o**3*q - 391*c*q wrt q?
10*c**3*o - 67697088*c**2*o**3
What is the derivative of 399825752*n**2 + 2*n - 481355916 wrt n?
799651504*n + 2
Differentiate -1915046*c**3*s - 9*c**3 - 366*c**2 - 9 with respect to s.
-1915046*c**3
What is the second derivative of -284593205*q**4 - 9*q - 3854126 wrt q?
-3415118460*q**2
What is the third derivative of 3*t**5 - 1419165*t**4 - 23816723*t**2?
180*t**2 - 34059960*t
What is the second derivative of -2070921*c**2 + 1564292*c?
-4141842
Differentiate -830965*n*t**3 - 24212332*n + 6*t**3 with respect to t.
-2492895*n*t**2 + 18*t**2
Differentiate -70151*o**2*q**2 + 1914*o**2 + 106643047*q**2 wrt o.
-140302*o*q**2 + 3828*o
What is the derivative of 2*d**4 - 94*d**3 - 2*d**2 - 3873*d + 24341394 wrt d?
8*d**3 - 282*d**2 - 4*d - 3873
Find the first derivative of 41273*l**3*v**3 + 21*l**3*v**2 - 18*l**3 + 71743*l wrt v.
123819*l**3*v**2 + 42*l**3*v
What is the second derivative of -1084*f*g*n**2 - 2*f*g*n - 106*f*g - 4*f*n**2 + f*n - 4*f - 638*g*n - g + 11653*n**2 wrt n?
-2168*f*g - 8*f + 23306
Find the first derivative of -426*n**3*u + 8*n**3 - 2*n**2*u + 159547*n**2 + 3740*u wrt u.
-426*n**3 - 2*n**2 + 3740
Find the second derivative of -151*l**2*o**2*z + 164*l**2*z**2 - 26*l**2 - 7132*l*o*z**2 + 7*l*z**2 + 2*o**2 wrt l.
-302*o**2*z + 328*z**2 - 52
What is the second derivative of 2*k**3*v - 8754*k**3 + 1330*k**2*v - 3*k**2 - 23*k*v + 18*k + 317448 wrt k?
12*k*v - 52524*k + 2660*v - 6
What is the second derivative of 24698693*s**2 - 9*s - 147203?
49397386
What is the first derivative of -293*j**3*s + 33*j**3 - 142948*j**2*s + 3*j**2 + 242333 wrt s?
-293*j**3 - 142948*j**2
Differentiate 24318*l**4 - 370*l**2*s + 17314282*s wrt l.
97272*l**3 - 740*l*s
Find the first derivative of 193162498*w - 128816320 wrt w.
193162498
What is the third derivative of -2*a**3*m**3 + a**3*m + 166611*a**3 + a**2*m**2 + 7939*a**2*m + a*m**3 + 54*m**3 - m wrt a?
-12*m**3 + 6*m + 999666
What is the second derivative of 369*p**3 + 105*p**2 - 2979423*p + 1 wrt p?
2214*p + 210
What is the first derivative of -44324190*j**2 - 45754228 wrt j?
-88648380*j
Find the third derivative of -118*n**3*y - 14409*n**3 + 22*n**2 - 2790*n*y wrt n.
-708*y - 86454
Find the third derivative of 194801372*r**3 + 132071270*r**2 wrt r.
1168808232
What is the second derivative of -100736354*g**2*w + 27*g*w + 142026*g - 2*w + 1 wrt g?
-201472708*w
What is the derivative of -63633654*c*p**4 + 40371106*c wrt p?
-254534616*c*p**3
Find the second derivative of -927723*c**4 + c - 104503.
-11132676*c**2
Find the third derivative of 2028*h*r**4 + 51*h*r**2 + 110*h*r - 3*h - 26*r**5 - 46*r**3 + r**2 wrt r.
48672*h*r - 1560*r**2 - 276
Find the third derivative of -511*k**2*r**3 + 73821*k**2*r**2 - k**2 - 2*k*r**2 + 244*r**3 - 3*r wrt r.
-3066*k**2 + 1464
What is the second derivative of 2740888*k**5 - 15529512*k?
54817760*k**3
Differentiate 708756007*v**2 + 63609654 wrt v.
1417512014*v
What is the first derivative of 836068498*d**4 + 227925764?
3344273992*d**3
Find the third derivative of 161206210*u**6 + 416373575*u**2 wrt u.
19344745200*u**3
Find the second derivative of -44*y**3 - 136096*y**2 + 29393808*y wrt y.
-264*y - 272192
What is the third derivative of -377*i**6 - 129203*i**3 + 893289270*i**2 wrt i?
-45240*i**3 - 775218
Differentiate 524910969*i**2 + 658385098 with respect to i.
1049821938*i
What is the third derivative of -446742392*v*x**3 - 3*v*x**2 - 3*v*x + 62*v - 9525 wrt x?
-2680454352*v
Find the second derivative of -132725216*h**2 + 89281341*h wrt h.
-265450432
Find the second derivative of 4*n**3*v**2 - 6*n**3*v - 86*n**2*v**2 - 938*n*v**2 + n - 12065*v - 1 wrt v.
8*n**3 - 172*n**2 - 1876*n
What is the third derivative of 756186191*t**4 - 348293*t**2 + t - 55 wrt t?
18148468584*t
What is the second derivative of 42865146*x**4 + 2*x - 19546822?
514381752*x**2
What is the first derivative of 36*d**3 + 3*d**2 - 13106*d + 24608828 wrt d?
108*d**2 + 6*d - 13106
What is the second derivative of 3*b*l**2*q + 11477*b*l*q + 2*b*l - b*q - 14*b + 5061588*l**2*q + 2*l*q wrt l?
6*b*q + 10123176*q
What is the derivative of 5501*r**3*z**2 - 28*r**3*z - 6923562*r**3 wrt z?
11002*r**3*z - 28*r**3
What is the second derivative of -13*r**2*y**3 + 178484*r**2*y**2 - 372*r**2*y + r**2 - 583*r + 2*y + 1 wrt y?
-78*r**2*y + 356968*r**2
What is the first derivative of -1645*b**3 - 200*b**2 - 3*b + 17479973?
-4935*b**2 - 400*b - 3
What is the second derivative of p**5 - 10*p**4 - 14426*p**2 - 153*p - 3590?
20*p**3 - 120*p**2 - 28852
What is the second derivative of -27*g**4 + 36*g**3 + 58*g**2 + 43462244*g wrt g?
-324*g**2 + 216*g + 116
What is the second derivative of -3828220*i**2 - 9547972*i?
-7656440
Find the first derivative of 168*q**2*s + 2*q**2 + 5*q*s + 870*s - 14630570 wrt s.
168*q**2 + 5*q + 870
What is the derivative of -4712*l**2 - 2190*l - 75969605?
-9424*l - 2190
Find the third derivative of -35*j**3*y - 481749*j**3 - 2*j**2*y + 15*j*y - 108*y + 4 wrt j.
-210*y - 2890494
What is the second derivative of -11*x**5 - 32762*x**4 + 11*x**2 + 86193897*x wrt x?
-220*x**3 - 393144*x**2 + 22
What is the first derivative of -76000971*c**4 - 70502332 wrt c?
-304003884*c**3
Find the second derivative of -182*h**4 - 42262*h**2 - 56938577*h wrt h.
-2184*h**2 - 84524
What is the second derivative of -41856033*j**2 + 74*j - 11918?
-83712066
Find the third derivative of 17669527*l**3 + 7251429*l**2.
106017162
What is the second derivative of 2985762*l*y**2 + 24758*l + 43*y wrt y?
5971524*l
Differentiate -130030324*o**2*q + 302323849*o**2 - 2*o*q**2 with respect to q.
-130030324*o**2 - 4*o*q
What is the third derivative of -425054909*l**3 - 5659022*l**2?
-2550329454
What is the second derivative of -70111083*z**3 - 93*z - 176150 wrt z?
-420666498*z
Differentiate 8603232*p*s + 3*p + 3*s**2 + 366231 with respect to s.
8603232*p + 6*s
Find the third derivative of -6949589*v**3 - 4*v**2 - 1574*v + 48.
-41697534
Find the second derivative of -69247983*y**2 + 71491648*y wrt y.
-138495966
What is the second derivative of -19082575*f**4 - 2*f**2 + 82*f - 153507?
-228990900*f**2 - 4
What is the derivative of -7*c**2*l*m - 1250*c**2*m + 1857*c**2 + c*l + c*m + 1344865*l*m + 5*l - 4*m wrt l?
-7*c**2*m + c + 1344865*m + 5
Find the first derivative of 78875230*b**2 - 77071981.
157750460*b
What is the second derivative of 2506*v**4 + 32913*v**3 - 557747542*v?
30072*v**2 + 197478*v
What is the first derivative of -73803*g**4*r - 3*g*r**3 - 4*g - 44434*r**3 - r - 17 wrt g?
-295212*g**3*r - 3*r**3 - 4
What is the second derivative of 14180371*u**2 - 5103991*u wrt u?
28360742
What is the second derivative of -275116523*z**2 - 248635090*z?
-550233046
Find the second derivative of 98*d**5 + 6700*d**4 - 22*d**3 - 152382*d - 31.
1960*d**3 + 80400*d**2 - 132*d
What is the second derivative of -5873419*n**4 - 4814803*n wrt n?
-70481028*n**2
What is the third derivative of -79813897*m**3 - 20831558*m**2?
-478883382
Find the third derivative of -19909300*w**4*x + w**3 - w**2*x + 31345*w**2 - 2*w*x - 18*w + 2 wrt w.
-477823200*w*x + 6
Find the second derivative of 990044*y**4 + 2*y**3 - 12733639*y - 1.
11880528*y**2 + 12*y
What is the s
|
{
"pile_set_name": "DM Mathematics"
}
|
What is 565299.8 millilitres in litres?
565.2998
What is one fifth of a centimeter in millimeters?
2
Convert 135.6409 litres to millilitres.
135640.9
Convert 9.44989 micrograms to tonnes.
0.00000000000944989
How many decades are there in 77/2 of a millennium?
3850
How many nanograms are there in 3/40 of a milligram?
75000
What is thirteen quarters of a kilogram in grams?
3250
How many micrometers are there in eleven halves of a millimeter?
5500
How many centuries are there in 468848.9 millennia?
4688489
How many months are there in seven eighths of a century?
1050
How many millilitres are there in twenty-one quarters of a litre?
5250
Convert 8526.919 millilitres to litres.
8.526919
How many months are there in thirteen quarters of a century?
3900
Convert 35.25023l to millilitres.
35250.23
What is 47/4 of a kilometer in meters?
11750
How many litres are there in 808.1452 millilitres?
0.8081452
Convert 9.09771 years to months.
109.17252
Convert 117783.5l to millilitres.
117783500
What is 0.5670534 nanometers in millimeters?
0.0000005670534
What is 346892.9 grams in kilograms?
346.8929
Convert 7.534278 days to milliseconds.
650961619.2
What is 42.02847kg in nanograms?
42028470000000
Convert 34.00249 decades to years.
340.0249
Convert 56979.207 seconds to hours.
15.8275575
What is one tenth of a century in years?
10
How many kilograms are there in 0.4613864g?
0.0004613864
How many nanometers are there in 4.177473cm?
41774730
How many centuries are there in 8.156447 years?
0.08156447
What is 0.9625793 grams in tonnes?
0.0000009625793
What is 525457.8 milliseconds in days?
0.0060816875
How many months are there in eighty-eight thirds of a decade?
3520
What is 98942.05 nanometers in meters?
0.00009894205
How many microseconds are there in one tenth of a millisecond?
100
Convert 84.9926l to millilitres.
84992.6
How many micrograms are there in 74/5 of a milligram?
14800
Convert 0.3402539 kilograms to nanograms.
340253900000
Convert 75.21358 millimeters to nanometers.
75213580
Convert 50.97467 millennia to years.
50974.67
How many millennia are there in 581922.3 years?
581.9223
What is 67.3317 centuries in years?
6733.17
How many millilitres are there in 53.07679l?
53076.79
What is 6.882356 years in centuries?
0.06882356
What is 1230.746 kilograms in milligrams?
1230746000
What is seven eighths of a litre in millilitres?
875
What is 1/5 of a micrometer in nanometers?
200
How many grams are there in 0.6384591 tonnes?
638459.1
Convert 94805.7 kilograms to tonnes.
94.8057
How many nanometers are there in 6556.477 meters?
6556477000000
What is 72.0731 milligrams in grams?
0.0720731
What is 1/15 of a century in months?
80
What is 70.9184 litres in millilitres?
70918.4
What is 11.8471788ms in days?
0.000000137120125
What is 55/4 of a millennium in years?
13750
What is thirty-three fifths of a litre in millilitres?
6600
Convert 7.525449ml to litres.
0.007525449
What is 1/5 of a millennium in centuries?
2
What is fourty-two fifths of a meter in millimeters?
8400
What is 1/5 of a micrometer in nanometers?
200
What is thirteen quarters of a litre in millilitres?
3250
How many millilitres are there in 1/5 of a litre?
200
What is 7/2 of a week in hours?
588
Convert 35.31779 millilitres to litres.
0.03531779
How many millennia are there in 115.6964 centuries?
11.56964
What is twenty-seven halves of a milligram in micrograms?
13500
How many milligrams are there in one tenth of a kilogram?
100000
How many nanograms are there in 17/4 of a microgram?
4250
What is 8578.6mm in kilometers?
0.0085786
What is 3724.363 millennia in decades?
372436.3
How many microseconds are there in 2.835023 hours?
10206082800
What is eleven quarters of a tonne in kilograms?
2750
How many minutes are there in two sevenths of a week?
2880
How many grams are there in nine tenths of a kilogram?
900
Convert 9.058513l to millilitres.
9058.513
What is 45/4 of a litre in millilitres?
11250
Convert 0.8826233 weeks to milliseconds.
533810571.84
Convert 47988.83s to nanoseconds.
47988830000000
What is 52/5 of a litre in millilitres?
10400
How many kilograms are there in 359.6724t?
359672.4
What is 5035.064 centuries in decades?
50350.64
Convert 880233.9 millennia to months.
10562806800
How many millilitres are there in 34720.6 litres?
34720600
What is 8.6564us in nanoseconds?
8656.4
What is 95.39227l in millilitres?
95392.27
Convert 91123.8 nanometers to millimeters.
0.0911238
How many meters are there in 0.634528 nanometers?
0.000000000634528
Convert 816.155 litres to millilitres.
816155
Convert 9.341797m to micrometers.
9341797
How many kilograms are there in 1/5 of a tonne?
200
What is 99.70804 kilograms in nanograms?
99708040000000
How many decades are there in 979.9554 years?
97.99554
How many meters are there in 21/2 of a kilometer?
10500
Convert 0.8305901 millennia to centuries.
8.305901
How many meters are there in 3/25 of a kilometer?
120
Convert 23.37352 days to seconds.
2019472.128
What is 1/5 of a decade in months?
24
What is 0.8648476t in micrograms?
864847600000
How many years are there in three fifths of a century?
60
What is seventeen halves of a tonne in kilograms?
8500
What is 6/5 of a kilogram in grams?
1200
What is 1/10 of a day in minutes?
144
What is 6/25 of a century in years?
24
What is 1/5 of a decade in months?
24
How many seconds are there in 8555.557us?
0.008555557
How many grams are there in 53/4 of a kilogram?
13250
How many nanograms are there in twenty-six fifths of a microgram?
5200
What is 943131.7 litres in millilitres?
943131700
How many millilitres are there in 13/5 of a litre?
2600
What is 212.9666l in millilitres?
212966.6
What is 463.1352 milligrams in micrograms?
463135.2
How many micrometers are there in 3/10 of a centimeter?
3000
How many years are there in 54/5 of a decade?
108
How many centuries are there in 1.814685 months?
0.0015122375
Convert 0.6817045 millilitres to litres.
0.0006817045
How many millilitres are there in 25/2 of a litre?
12500
Convert 0.7521473 kilograms to nanograms.
752147300000
How many months are there in 13/4 of a millennium?
39000
Convert 9827.394g to tonnes.
0.009827394
How many months are there in 9.986975 years?
119.8437
How many millilitres are there in 59/4 of a litre?
14750
How many centuries are there in 1/10 of a millennium?
1
Convert 35.91711um to nanometers.
35917.11
Convert 0.3982985ml to litres.
0.0003982985
What is three tenths of a millennium in years?
300
How many millilitres are there in 1313.41l?
1313410
Convert 0.1289262 centuries to months.
154.71144
Convert 6.5283408ns to days.
0.0000000000000755595
Convert 76.47116ml to litres.
0.07647116
How many nanograms are there in sixty-seven fifths of a microgram?
13400
How many micrometers are there in fifty-one eighths of a centimeter?
63750
How many nanograms are there in 7849.432 milligrams?
7849432000
What is 6/5 of a microgram in nanograms?
1200
How many nanograms are there in 11/10 of a microgram?
1100
What is 13/5 of a millennium in decades?
260
How many micrometers are there in 195.2335 kilometers?
195233500000
How many millimeters are there in three eighths of a meter?
375
How many years are there in 41047.14 months?
3420.595
How many nanograms are there in three eighths of a microgram?
375
What is twenty-five halves of a litre in millilitres?
12500
What is seven quarters of a millimeter in micrometers?
1750
How many micrograms are there in fifteen quarters of a milligram?
3750
What is 32.95773 millennia in decades?
3295.773
Convert 24109.48 millilitres to litres.
24.10948
How many kilograms are there in 34/5 of a tonne?
6800
What is 33794.34g in nanograms?
33794340000000
Convert 96.29373 decades to millennia.
0.9629373
What is 2.547362mm in centimeters?
0.2547362
How many centimeters are there in 27/4 of a meter?
675
What is 27/2 of a microgram in nanograms?
13500
What is 29/2 of a hour in minutes?
870
Convert 0.9051244 kilograms to grams.
905.1244
What is 87.67177um in nanometers?
87671.77
What is six fifths of a minute in milliseconds?
72000
What is 750.7071 millennia in decades?
75070.71
What is seven sixths of a millennium in months?
14000
How many centimeters are there in 8/25 of a kilometer?
32000
How many hours are there in 43/2 of a week?
3612
W
|
{
"pile_set_name": "DM Mathematics"
}
|
1496*b
Let p(o) = o**5 + o**4 - o**3 - o. Let u(x) = 23*x**5 - 6*x**4 + 6*x**3 + 22*x. Let f(h) = -6*p(h) - u(h). Find the second derivative of f(a) wrt a.
-580*a**3
Let g be (-2)/(-2 - -3)*(-1)/1. What is the second derivative of -6*q**g + 3*q**3 + 6*q - 2 + 0*q**2 - 3*q**2 wrt q?
18*q - 18
Let y(d) be the first derivative of 5/4*d**4 - 10 + 0*d**2 + 0*d**3 + 16*d. Differentiate y(c) with respect to c.
15*c**2
Let b be 38/(-171)*9*-2. Let o(f) be the first derivative of 0*f**5 + 7/3*f**6 + 0*f**3 - f**2 + 4 + 0*f + 0*f**b. Find the second derivative of o(g) wrt g.
280*g**3
Suppose -4*c + c - 5*t + 127 = 0, 3*t = 5*c - 155. Suppose -4*m = 14 - c. What is the second derivative of -8*l - l**m - 3*l**5 + 0*l**5 + 2*l wrt l?
-80*l**3
Let r be (22/(-3))/((-10)/(-30)). Let c = 27 + r. What is the third derivative of 0*j**2 - 11*j**5 + 0*j**c - 2*j**2 - 5*j**2 wrt j?
-660*j**2
Let r(f) = 42*f**2 - 21*f - 35. Let l(x) = -2*x**2 - x. Let q(i) = -21*l(i) + r(i). What is the first derivative of q(b) wrt b?
168*b
Let t(n) be the first derivative of -3*n**5/5 - 7*n**4 + 91*n**2 - 455. Find the second derivative of t(o) wrt o.
-36*o**2 - 168*o
Let u(w) = w - 2. Let y = -3 + 8. Let a be u(y). Find the first derivative of 1 - 3 + 2*i + a*i wrt i.
5
Suppose h - 66 = -10*h. Let b(j) = 23*j**3 + 21*j**2. Let r(x) = -x**3. Let k(t) = h*r(t) + b(t). What is the third derivative of k(c) wrt c?
102
Let s(o) be the first derivative of o**7/30 - o**3/3 - 39*o**2/2 + 32. Let f(y) be the second derivative of s(y). What is the first derivative of f(h) wrt h?
28*h**3
Let d(q) be the first derivative of q**5/10 - 11*q**3/6 + 37*q**2/2 + 29*q - 9. Let m(f) be the first derivative of d(f). What is the derivative of m(h) wrt h?
6*h**2 - 11
Let g(m) be the second derivative of -161*m**6/15 + 13*m**4/12 + m**2/2 + 77*m. Find the third derivative of g(q) wrt q.
-7728*q
Let d(n) = -13*n - 6. Let x(t) = -t + 1. Suppose 0 = 5*y - 6 - 4. Let j(c) = y*x(c) - d(c). Differentiate j(h) wrt h.
11
Let c(r) be the third derivative of -11*r**5/20 + 103*r**4/24 - 64*r**2. Find the second derivative of c(w) wrt w.
-66
Let a(h) be the third derivative of 53*h**6/24 + 23*h**5/12 - h**4/24 + 13*h**2 + 11. What is the third derivative of a(j) wrt j?
1590
Let l(z) be the second derivative of -z**5/20 + 17*z**4/12 - 60*z**2 + 132*z. Differentiate l(j) wrt j.
-3*j**2 + 34*j
Let z = -101 + 106. Find the third derivative of 44*g**2 - 34*g**2 + 9*g**z - 4*g**5 - 28*g**2 wrt g.
300*g**2
Let c(q) be the first derivative of -260*q**3/3 - 137*q**2/2 + 200. Find the second derivative of c(g) wrt g.
-520
Suppose 5*v + 0*v - 4*r - 37 = 0, -4*v - 4*r = -8. Let f = 75 + -68. What is the second derivative of 4*x - 7*x**5 + 11*x**v - f*x**5 wrt x?
-60*x**3
What is the third derivative of 166*b**4 - 22*b**2 + 170*b**4 + 85*b**2 - 343*b**4 wrt b?
-168*b
Let d(t) = t**2 - 9*t + 6. Let j(o) = o**2 + 7*o + 15. Let m be j(-6). Let b be d(m). What is the derivative of b*z**4 + 2 - 1 - 4 wrt z?
24*z**3
Let s(d) = d**3 + 8*d**2 + 8*d + 9. Suppose -z - 2 = 5. Let q be s(z). Find the second derivative of 7*n - 3*n**q + 3*n**2 + 4*n**3 + 6*n wrt n.
24*n
Find the first derivative of 288 - 100*t**3 + 236 - 92 - 360*t**3 + 91 wrt t.
-1380*t**2
Let u(a) = -29*a**2 + 5*a + 24. Let g(f) = 64*f**2 + 12*f - 73*f**2 - 78*f**2 + 71 + 2*f. Let k(n) = 3*g(n) - 8*u(n). Differentiate k(p) with respect to p.
-58*p + 2
Let i(w) = -134*w + 136*w + 9 - 2. Let l(t) = -9*t - 34. Let x(p) = -11*i(p) - 2*l(p). Differentiate x(b) with respect to b.
-4
Let c be (-2)/4*(7 + -13). Find the second derivative of 26*u + 9*u**c - 4*u + 8*u**3 - 5*u**3 wrt u.
72*u
Let c(v) = -11*v**3 + 16*v**2 - 147*v. Let f(a) = -21*a**3 + 31*a**2 - 293*a. Let i(u) = 11*c(u) - 6*f(u). What is the second derivative of i(r) wrt r?
30*r - 20
Let k be (-3)/(-3) + (-6)/(-2). Suppose 3*m - k = 2. What is the second derivative of -2*n**2 + 10*n**m - 3*n**2 + 3*n wrt n?
10
Let y(l) be the first derivative of 0*l**4 + 0*l**3 - 5/2*l**2 + 2*l**5 - 17 + 0*l. Find the second derivative of y(o) wrt o.
120*o**2
Let i be 32 + -3*2/(-6). Suppose 4*j = -9 + i. What is the second derivative of -2*u**2 - u + j*u**2 - 3*u + 0*u**2 wrt u?
8
Let s = 45 - -135. Find the third derivative of 10*z**2 - 189*z**4 + 2*z**2 + s*z**4 wrt z.
-216*z
Let b(v) be the second derivative of 1/2*v**2 + 0 + 4/3*v**3 - 11*v. Let s(r) = -16*r - 2. Let u(o) = 9*b(o) + 4*s(o). Find the first derivative of u(q) wrt q.
8
Let f(a) be the first derivative of -3*a**5/2 - 11*a**4/4 - 31*a - 34. Let q(l) be the first derivative of f(l). Find the third derivative of q(m) wrt m.
-180
Let o(k) = 14*k**2 - 5 + 5 + k**3 - 4*k - 18*k**2. Let t be o(5). Find the third derivative of 4*i**5 - 2*i**t - 10*i**2 - 7*i**5 wrt i.
-300*i**2
Let o(p) be the first derivative of -2*p**5/5 - 9*p**4/4 - 46*p + 28. Differentiate o(s) with respect to s.
-8*s**3 - 27*s**2
Let h(t) be the third derivative of 0*t**7 + 0*t + 5*t**2 + 0*t**4 - 1/6*t**5 + 0*t**3 + 0 + 0*t**6 + 1/112*t**8. Find the third derivative of h(i) wrt i.
180*i**2
Let q = 11 + -3. Let b = q + -6. Find the third derivative of -5*d**b + d**3 - d**3 + 5*d**3 wrt d.
30
Let q be (-2 + 0)/((-4)/10). Suppose -q*c + 0 = -15. Differentiate f**3 - 5*f**c - 4 - f + f with respect to f.
-12*f**2
Let m(h) = -729*h**2 - 636*h - 11. Let a(v) = 146*v**2 + 127*v + 2. Let d(s) = 11*a(s) + 2*m(s). Find the second derivative of d(c) wrt c.
296
Suppose 5*k + 25 = 0, 2*c - 2*k - 25 = -3*c. Find the first derivative of -3*a**c + 7*a**3 + 0*a**3 + 17 - 20 wrt a.
12*a**2
What is the derivative of -6598 + 7031 - 151*g**2 - 162*g**2 wrt g?
-626*g
Let p(u) be the third derivative of -20*u**2 + 0 + 0*u - 11/30*u**5 + 1/120*u**6 + 0*u**4 + 0*u**3. What is the third derivative of p(a) wrt a?
6
Let f(m) = 163*m**4 + 4*m**3 - 8*m**2 + 3. Let u(o) = -326*o**4 - 7*o**3 + 14*o**2 - 5. Let b(p) = 7*f(p) + 4*u(p). What is the derivative of b(a) wrt a?
-652*a**3
Let w(k) be the third derivative of -13*k**5/30 - 73*k**3/6 - 91*k**2. Find the first derivative of w(j) wrt j.
-52*j
Let o(x) = x**2 + 4*x + 2. Let c be o(-4). Find the third derivative of -13*j**c + 21*j**2 - 3*j**4 - 3*j**4 + 0*j**4 wrt j.
-144*j
Let w(z) be the first derivative of 5*z**7/42 + 5*z**3/6 - z + 10. Let y(l) be the first derivative of w(l). Find the second derivative of y(p) wrt p.
100*p**3
Let b(s) = -s**4 + 2*s**3 - 4*s - 8. Let i(t) = -2*t**4 + 3*t**3 - 4*t - 7. Let o(a) = 3*b(a) - 2*i(a). What is the derivative of o(k) wrt k?
4*k**3 - 4
Suppose 5*a + 10 = 120. Differentiate 30*s - a - 5*s + 4*s - 6 with respect to s.
29
Let s(y) = -2*y**2 + 12*y + 2. Let l be s(6). What is the first derivative of 511*p - 511*p - p**l - 13 wrt p?
-2*p
Differentiate 56*w + 256*w**3 - 74*w + 17*w + 239 with respect to w.
768*w**2 - 1
Let o(y) be the first derivative of -4*y**3/3 + 283*y**2 + 165. What is the second derivative of o(j) wrt j?
-8
Suppose 20 = -10*y + 15*y. Let n(c) = 0*c**2 - y*c**2 - c**2 + c**2. Let w(m) = -m. Let g(a) = -n(a) - 5*w(a). What is the second derivative of g(h) wrt h?
8
Let v(c) be the first derivative of 9*c**4 + 0*c**4 - 6 - 3*c**4 + 14*c**2. What is the second derivative of v(t) wrt t?
144*t
Let j(z) be the first derivative of 0*z**2 - 16 - z + 11/3*z**3. What is the first derivative of j(m) wrt m?
22*m
What is the third derivative of -304*d**5 + 39*d**5 + 0 + 4 - 6 - 14*d**2 - 26*d**5 wrt d?
-17460*d**2
Let n(p) be the first derivative of 3*p**5/5 - 15*p**4/4 - 282*p + 231. What is the first derivative of n(w) wrt w?
12*w**3 - 45*w**2
Let i(b) be the first derivative of -b**7/105 - b**6/180 + 3*b**3 + 9. Let f(y) be the third derivative of i(y). Find the third derivative of f(n) wrt n.
-48
Let v(b) be the third derivative of 43*b**9/252 + b**8/112 + b**5/60 - 39*b**3/2 + 573*b**2. Find the third derivative of v(l) wrt l.
10320*l**3 + 180*l**2
Suppose -f + 5*f = 52. Let q(j) be the first derivative of -6*j + 14*j - f*j - 9 - j**3 + 4*j**3. What is the derivative of q(n) wrt n?
18*n
Let w(s) be the third derivative of -29*s**2 + 0*s + 0 - 1/6*s**6 + 0*s**4 + 0*s**3 + 7/15*s**5. What is the third derivative of w(x) wrt x?
-120
Let w(a) = 5*a**4 + 2*a**2 - 23*a - 1. Let c(i) = i**4 - i**2 - i. Let s(k) = -2*c(k) - w(k). F
|
{
"pile_set_name": "DM Mathematics"
}
|
greatest common factor of 25346 and 554668?
46
What is the greatest common factor of 78 and 4420402?
2
Calculate the greatest common factor of 39624747 and 57.
57
What is the greatest common factor of 20958 and 10808?
14
Calculate the greatest common divisor of 5994 and 702918.
162
What is the highest common factor of 44 and 614893752?
44
What is the highest common factor of 8084 and 59107388?
188
What is the greatest common divisor of 379300646 and 316?
158
Calculate the greatest common factor of 142 and 1322517.
71
What is the highest common divisor of 526 and 116093723?
263
Calculate the highest common factor of 976 and 82568.
8
Calculate the greatest common divisor of 4850 and 16395910.
970
What is the greatest common divisor of 863498964 and 12?
12
What is the greatest common divisor of 6437 and 2388284?
157
What is the highest common divisor of 1586483 and 907271?
331
Calculate the greatest common divisor of 106377 and 32155.
59
What is the greatest common divisor of 100166844 and 814?
74
What is the greatest common factor of 227 and 344945114?
227
Calculate the greatest common divisor of 5565 and 21483.
21
Calculate the highest common divisor of 497 and 2540877.
71
Calculate the highest common divisor of 11828201 and 131747.
2233
Calculate the greatest common divisor of 85426492 and 474.
158
What is the greatest common divisor of 9780 and 7278276?
1956
Calculate the highest common divisor of 543733 and 3652.
83
Calculate the greatest common factor of 98 and 62145804.
14
Calculate the highest common divisor of 973640 and 13737.
241
Calculate the highest common divisor of 3569 and 3835514.
43
What is the highest common divisor of 695162 and 494?
26
What is the highest common factor of 1021225772 and 834?
278
What is the greatest common divisor of 16404 and 34868?
4
Calculate the highest common factor of 1846 and 125892.
26
What is the greatest common divisor of 2219 and 61641601?
2219
Calculate the highest common factor of 1011712 and 9464.
104
What is the highest common factor of 511885959 and 2535?
507
Calculate the greatest common divisor of 455080 and 3224.
248
Calculate the greatest common divisor of 4181643 and 85.
17
Calculate the highest common factor of 191196 and 437988.
1356
Calculate the greatest common factor of 1790400 and 6690.
30
Calculate the highest common divisor of 1119731 and 3021.
53
What is the greatest common divisor of 347074 and 234?
26
Calculate the highest common divisor of 11 and 3835830119.
11
What is the highest common divisor of 5998 and 1617513649?
2999
Calculate the greatest common divisor of 188871416 and 16.
8
What is the highest common factor of 1669800 and 2244?
132
What is the highest common divisor of 28287 and 482517?
63
What is the highest common factor of 954 and 145211308?
106
What is the greatest common divisor of 1158 and 793015770?
1158
What is the highest common factor of 43504 and 180557914?
5438
Calculate the greatest common factor of 81192 and 1008984.
408
Calculate the highest common factor of 422350990 and 730.
730
Calculate the highest common factor of 20447 and 866387.
23
Calculate the greatest common factor of 44099 and 78584.
209
Calculate the highest common factor of 437558259 and 9117.
3039
What is the highest common factor of 53301345 and 15?
15
What is the highest common factor of 47008 and 614224?
208
What is the greatest common divisor of 270 and 2001330?
90
Calculate the highest common factor of 5506855 and 5.
5
What is the highest common divisor of 125837276 and 213?
71
Calculate the highest common factor of 5827004 and 828.
92
What is the highest common divisor of 148860 and 7?
1
What is the greatest common factor of 485204 and 845504?
4804
Calculate the greatest common factor of 80432849 and 91.
7
What is the greatest common divisor of 354686208 and 1952?
1952
Calculate the highest common divisor of 4834064 and 336.
16
What is the highest common factor of 30832 and 13376?
16
What is the highest common divisor of 12 and 632816?
4
Calculate the greatest common divisor of 85030192 and 130.
26
Calculate the highest common divisor of 12896 and 41788.
124
Calculate the highest common factor of 75340 and 1820.
20
What is the highest common divisor of 8707776 and 74613?
4389
Calculate the greatest common factor of 16 and 45664592.
16
Calculate the greatest common divisor of 492417036 and 603.
603
Calculate the highest common divisor of 1249997532 and 11676.
11676
Calculate the highest common divisor of 3271539 and 123238.
1433
Calculate the highest common factor of 1035747 and 58482.
1539
What is the greatest common factor of 995 and 323370025?
995
What is the highest common factor of 81129 and 36?
3
Calculate the greatest common factor of 27804 and 355411581.
6951
Calculate the greatest common factor of 1696119 and 65817.
213
What is the greatest common divisor of 16416848 and 224?
112
Calculate the greatest common divisor of 516 and 95604351.
129
Calculate the greatest common factor of 591 and 224951739.
591
What is the highest common divisor of 2060 and 297771970?
1030
Calculate the greatest common divisor of 7166800 and 570.
190
Calculate the greatest common factor of 27770844 and 478.
478
What is the greatest common divisor of 3992 and 61339076?
1996
Calculate the highest common factor of 110700 and 3525.
75
What is the greatest common divisor of 37812276 and 126?
18
What is the highest common factor of 410913 and 13652469?
4617
What is the highest common divisor of 332756 and 542758?
82
What is the greatest common divisor of 792 and 40345371?
99
Calculate the greatest common divisor of 5 and 3578120.
5
Calculate the highest common factor of 1909 and 12120573.
83
What is the highest common factor of 36480 and 343520?
3040
What is the highest common divisor of 1007 and 11561861?
19
What is the highest common factor of 775 and 2726086525?
775
Calculate the highest common factor of 10566605 and 398395.
3655
What is the highest common factor of 884 and 67734511?
221
Calculate the greatest common factor of 34902616 and 168.
56
What is the highest common factor of 22037946 and 1470?
294
What is the greatest common divisor of 2920 and 168827830?
730
Calculate the greatest common divisor of 15060 and 1564816830.
7530
What is the greatest common divisor of 145922 and 98?
98
Calculate the highest common divisor of 239895 and 24165.
135
What is the highest common factor of 2511 and 379161?
2511
What is the greatest common divisor of 840810 and 5730?
30
Calculate the greatest common divisor of 216 and 21043128.
24
Calculate the greatest common factor of 10164 and 9973788.
1452
Calculate the greatest common factor of 2699163 and 3092553.
1269
Calculate the greatest common divisor of 2516680 and 1070.
10
What is the greatest common divisor of 1236597440 and 3568?
3568
Calculate the highest common factor of 80605 and 43806.
49
What is the highest common divisor of 60035563 and 14?
7
What is the highest common factor of 35383 and 23411?
41
What is the highest common divisor of 1513844551 and 19?
19
Calculate the greatest common factor of 321392 and 794576.
848
Calculate the highest common divisor of 4716 and 2118564.
36
Calculate the greatest common factor of 88 and 4751296.
88
What is the highest common divisor of 9493990 and 176?
22
Calculate the highest common factor of 490623 and 586698.
1281
What is the highest common divisor of 150896226 and 6110?
1222
Calculate the highest common divisor of 3123 and 214635462.
1041
Calculate the greatest common factor of 35121917 and 2257.
37
What is the greatest common divisor of 1179 and 463689?
9
What is the greatest common divisor of 7347080 and 2272?
568
What is the highest common factor of 163489562 and 3314?
3314
Calculate the highest common factor of 2681 and 12952677.
383
What is the highest common factor of 725 and 1637100025?
725
Calculate the greatest common divisor of 52 and 391408121.
13
What is the highest common factor of 68643 and 2192661?
261
What is the highest common factor of 7619817 and 149739?
2109
Calculate the highest common divisor of 6120324 and 103668.
1956
What is the greatest common factor of 2816 and 6821824?
64
Calculate the highest common divisor of 1019700 and 38679300.
9900
What is the highest common divisor of
|
{
"pile_set_name": "DM Mathematics"
}
|
((-3)/(-6)).
19
Suppose r + 3 = 4*u, 5*u + 23 + 7 = 5*r. Let a(w) = 3*w**2 - 5*w + 2. Let t be a(3). Let p = t - r. What are the prime factors of p?
5
Let p = -107 + 154. List the prime factors of (-2)/9 + p/9.
5
Let f(a) = -a**3 + 7*a**2 + 8*a - 1. Let p be f(8). Let m(i) = -i**2 - 2*i - 1. Let g be m(-3). List the prime factors of g*1*(p - 0).
2
What are the prime factors of 2/((-94)/32 - -3)?
2
Let k(n) = -14*n - 6. Let y(t) = 5*t + 2. Let m(f) = 3*k(f) + 8*y(f). What are the prime factors of m(-7)?
2, 3
Let c(i) = -i**3 - 6*i**2 + 3*i + 18. List the prime factors of c(-8).
2, 61
Let v = -42 + 81. Suppose 0*z = -z + v. Let k = -27 + z. What are the prime factors of k?
2, 3
Let l = 66 + -41. Suppose 5*a = -h + l, -2*h = -4*h + 4*a - 6. Suppose 0 = -2*j + 7*j - 4*z + 1, -5*j + 5*z = h. What are the prime factors of j?
3
Let p(a) be the second derivative of a**3/6 + 23*a**2/2 - 7*a. Let y = -3 + -8. What are the prime factors of p(y)?
2, 3
Let x(n) = 21*n**2 - 1. Let l be x(1). Suppose -l = 2*h - 3*h. List the prime factors of h.
2, 5
Suppose -4*f + 13 = -71. What are the prime factors of f?
3, 7
Let n = -63 - -96. What are the prime factors of n?
3, 11
Let x(t) = 2*t**2 - t - 3. Let h be x(-4). Suppose 0*o + h = 3*o. Suppose o = c - 0. What are the prime factors of c?
11
Let s = 28 - 20. What are the prime factors of s?
2
Let k(h) = h - 7. Let b be k(8). What are the prime factors of (1 + -2)/(b/(-2))?
2
Let i(q) = 11*q + 1. Let p be i(-1). Suppose -x - 2*x = -75. Let k = p + x. What are the prime factors of k?
3, 5
Let i = 320 - 125. What are the prime factors of i?
3, 5, 13
Let y(c) = 2*c - 4. Let x be y(2). Suppose x = -5*s + 2*s + 4*m + 33, 20 = 5*s + 5*m. What are the prime factors of s?
7
Suppose 4 = -3*x + 7. Let f(q) = 3*q**2 + q + x + 0*q + 0*q. List the prime factors of f(-2).
11
Let j = 0 - -5. Let v(a) = a**2 - 4*a - 3. What are the prime factors of v(j)?
2
Suppose 0 = 8*i - 328 - 304. What are the prime factors of i?
79
Let l(h) = 21*h**2 + h - 8. What are the prime factors of l(-3)?
2, 89
Let k = -12 - -32. List the prime factors of 272/k + 4/10.
2, 7
Let q(k) = -2*k - 13. Let v be q(-10). Suppose -v = -c - 1. List the prime factors of c.
2, 3
List the prime factors of (-69)/(-2)*(-24)/(-18).
2, 23
Let k be 5/(-30) + (-590)/(-12). Let o = k + -23. What are the prime factors of o?
2, 13
Let a = -27 + 42. What are the prime factors of a?
3, 5
Let d(m) = -m**3 - 8*m**2 - m + 10. Let p(s) = s**3 + 6*s**2 - 15*s. Let u be p(-8). What are the prime factors of d(u)?
2, 3
Suppose -2*s = 2*c + 8, 20 = -s - s + 4*c. Let g(j) = j + 2. Let i be g(s). What are the prime factors of i/(-8)*(33 + 1)?
17
Let m = -180 + 122. Let b = -38 - m. List the prime factors of b.
2, 5
Let i(g) = g - 1. Let w(l) = -l**2 - l + 4. Let d be w(-3). Let n be i(d). What are the prime factors of (-27)/n - 0 - 1?
2
Let m(c) = -c**3 + 3*c**2 + 7*c - 8. What are the prime factors of m(-4)?
2, 19
Suppose 2*a + a + 3 = 3*u, -2*a - 2*u = -10. Let r(w) = -2*w - 3*w + 1 + 3*w + w**a. List the prime factors of r(3).
2
Let n(j) = -j**3 - 4*j**2 - 3*j + 3. Suppose b = -4*b + 375. Let m be 6/(-27) - b/27. What are the prime factors of n(m)?
3
Suppose 4*z = -4*d - 20, 4*d + z + 0*z = -5. What are the prime factors of 32 - d - (5 - 2)?
29
Let h be 198/24 + 2/(-8). Suppose -5*m - 5*o = -19 - 31, 2*m - h = -5*o. Let w = m + -7. What are the prime factors of w?
7
Let p = -6 + 14. Suppose 4 = -3*u + u. Let k = u + p. What are the prime factors of k?
2, 3
Let p(d) = d**3 + 9*d**2 + 4*d - 4. Let i be p(-8). Let w = 43 - i. List the prime factors of w.
3, 5
Suppose 0 = 4*q + 3 - 19. Let v(r) = r**3 - 3*r**2 - 5*r + 6. Let w be v(q). What are the prime factors of 1*27/(w - -1)?
3
Let x(p) = -226*p. Let r(v) = 5085*v. Let f(q) = 5*r(q) + 113*x(q). Let l be f(-1). List the prime factors of 3/(-5) + l/5.
2, 11
Let v be 1 - ((3 - 6) + 2). Let g(f) = 15*f + 13. Let b(r) = -7*r - 6. Let x(k) = -9*b(k) - 4*g(k). List the prime factors of x(v).
2
Suppose -6*a - 80 = -a. Let f = -1 - a. List the prime factors of f.
3, 5
Suppose 0*n = -3*n + 39. Let p = 23 - n. What are the prime factors of p?
2, 5
Suppose 14 = 2*l - 4*d, -14 = -4*l - 0*l + d. List the prime factors of l.
3
Suppose 3*y - 229 = 2*w, 6*w = 3*w - 15. List the prime factors of y.
73
Let j be (-4 + 1)*(0 - 1). Let x(u) = -u**3 - 3*u**2 - 2*u + 1. Let q be x(-2). Suppose m = j*z + 5, z + 76 = 4*m + q. List the prime factors of m.
2, 5
Let a be (-2)/4 + (-1)/(-2). Suppose 5*d - 3*d - 80 = a. Suppose -d = -5*j - 0*j. List the prime factors of j.
2
Suppose 2 = -3*u + 5, 3*j + 5*u - 41 = 0. What are the prime factors of j?
2, 3
Let w = 85 - 52. Let k = w - 18. What are the prime factors of k?
3, 5
Suppose -5*q + q = 0. Let c(f) = 2*f + f + f + q*f. What are the prime factors of c(3)?
2, 3
Suppose -w - 19 = -5*r, 5*w = r - 1 + 2. List the prime factors of w*42 + 0/(-2).
2, 3, 7
Suppose -3*g + 95 = -4*j, 0 = g - 0*g - 4*j - 45. Suppose 5*s - g = -0*s. What are the prime factors of s?
5
What are the prime factors of (-6)/9 - (-65)/3?
3, 7
Let t be 19/(-5) + 4/(-20). Let m be (-18)/t*(-2)/(-3). Suppose 5*i = 3*w - 15, 4*w - m*i - 34 = -i. List the prime factors of w.
2, 5
Let d = -9 + 31. Suppose 23 + d = 3*f. What are the prime factors of f?
3, 5
Suppose z - 31 = -4*s, -2*s - 2 = -5*z - 1. List the prime factors of s.
7
Let b(k) = -4*k - 2*k + 7 + 10*k. What are the prime factors of b(3)?
19
What are the prime factors of (66/(-18))/((-4)/156)?
11, 13
Let z(x) = 4*x**3 - x**2 - 4*x + 2. Let q(g) = 2*g + 3*g - 2 + 0*g**3 - 5*g**3 + g**2. Let n(i) = 2*q(i) + 3*z(i). What are the prime factors of n(2)?
2, 5
Suppose 4*s = 38 + 90. Let v = -16 + s. List the prime factors of v.
2
Let k be 2/(-1) - (-1 - 1). Let m(p) = -2 + 9 + 1 - p + 1. What are the prime factors of m(k)?
3
Suppose 2*a - 4*n - 12 - 14 = 0, 4*a - 12 = -2*n. What are the prime factors of a?
5
Let l(k) be the third derivative of -k**4/6 - 7*k**3/6 + 6*k**2. What are the prime factors of l(-5)?
13
Let l be 0/(-2 + 1) - 0. Let h(v) = v**3 + 6*v**2 - 2*v - 4. Let a be h(-6). Suppose -2*y - k + 14 = 0, 4*y = 3*k - l*k + a. What are the prime factors of y?
5
List the prime factors of ((-4)/(-8))/((-2)/(-68)).
17
Let b = 3 - 3. List the prime factors of 2 + (-2 - b) - -18.
2, 3
Let s(d) be the first derivative of d**4/4 - d**3/3 + 2*d**2 - 4*d + 10. List the prime factors of s(2).
2
Let r(v) = v**3 + 8*v**2 + 8*v + 10. Let w(h) = -h**3 - 8*h**2 + 10*h + 2. Let i be w(-9). What are the prime factors of r(i)?
3
Let x(c) = 8*c**2 - 3*c - 3. Let m be x(-2). Suppose -m = -4*w + 117. Suppose -v + w = v. List the prime factors of v.
19
Let b = -80 - -130. List the prime factors of b.
2, 5
Suppose 832 = 5*m - 3*b, -m = 2*b - 208 + 52. List the prime factors of m.
2, 41
Let h(a) = -a**2 + 9*a - 9. Let v be h(6). Let y = -7 + v. What are the prime factors of y?
2
Let y(g) = g**2 - 4*g. Let m be 2 + (-2 + -1 - -3). Let a be y(m). Let u = 5 - a. List the prime factors of u.
3
Let u be ((-75)/9)/((-3)/(-9)). Let s = 45 + u. Suppose -4*y - z = z - 40, 4*z - s = -3*y. What are the prime factors of y?
2, 3
Let o(u) = u**2 - 4*u + 7. Let f(c) = -c + 1. Let m be f(-6). Suppose -5*g = 5*v - 15, 5*v - m = -3*g - 2. What are the prime factors of o(g)?
2, 3
Let q(m) = -m. Let n(i) = -4*i - 15. Let b(c) = n(c) - 5*q(c). Let z(v) = -2*v + 16. Let y(r) = -3*b(r) - 2*z(r). What are the prime factors of y(-10)?
3
Let u = -145 + 216. List the prime factors of u.
71
What are the prime factors of ((-7)/(-3) - 2)*1284?
2, 107
Let g(t) = -2*t**3 - 2*t**2 + 5*t - 8. Let m(q) = q**3 - q**2 + 1. Let o(j) = g(j) + 3*m(j). List the prime factors of o(5).
2, 5
Suppose 2*y - 2*i - 2 = 0, i + 17 = 5*y - 8. Let g(m) = -7 + 5*m + 5 - 10*m + m**2. What are the prime factors of g(y)?
2
Suppose 0*w = -5*w + 20. What are the prime factors of w?
2
Let j = 1 - -1. Suppose 150 = 16*m - 106. List the prime factors of j/(-8)*(-4 - m).
5
Let c = 5 - -1. Suppose 0 = 3*o - c, 3*a = a - 5*o + 8. Let t = 1 - a. What are the prime factors of t?
2
Let q(n) = 8*n - 3. Let t(g) = g + 1. Let h(o) = q(o) - 6*t(o). List the prime factors of h(6).
3
Suppose 3*b + 220 = 4*i, -5*i = -b - b - 282. Suppose 5*w - 70 = -2*z, w + 2*z - i = -3*w. What are
|
{
"pile_set_name": "DM Mathematics"
}
|
111*y + 2001
Collect the terms in 254247*j + 400701*j - 87133*j.
567815*j
Collect the terms in -3161 - 29*s + 1634 + 1528.
-29*s + 1
Collect the terms in 1368*m**2 - 11*m**3 + 852*m**2 - 3900*m**2 + 829*m**2 + 851*m**2 + 3*m**3.
-8*m**3
Collect the terms in 8723 - 2909 + 494*d**2 + 130*d**2 - 2904 - 2910.
624*d**2
Collect the terms in 810*n**2 - 172*n**2 + 454*n**2 + 846*n**2.
1938*n**2
Collect the terms in -64*l**2 - 618*l**3 - 11 + 15 + 79*l**2 - 13*l**2.
-618*l**3 + 2*l**2 + 4
Collect the terms in 10 - 28 + 173791*s + 18.
173791*s
Collect the terms in -5937*n**3 - 7619*n**3 + 23*n**2 - 2*n - 2*n - 23*n**2.
-13556*n**3 - 4*n
Collect the terms in 33*w**3 - 94*w**3 - 319*w**3 + 27*w**3 - 980*w**3.
-1333*w**3
Collect the terms in -17 + 108444*l - 14 + 42 - 11.
108444*l
Collect the terms in 2868*q**3 + 2872*q**3 - 5737*q**3 - 69*q**2 - 54*q**2.
3*q**3 - 123*q**2
Collect the terms in -32*s**3 + 215*s + 30226 - 30226 + 30*s**3.
-2*s**3 + 215*s
Collect the terms in 151*h**2 - 4802*h**3 - 1 + 4791*h**3 - 141*h**2 + 0 - 633*h**2.
-11*h**3 - 623*h**2 - 1
Collect the terms in 10 - 10 + 2*y**2 + 573*y - 138*y + 761*y - 143*y.
2*y**2 + 1053*y
Collect the terms in 22075*u - 5341*u - 5553*u - 5576*u - 5538*u.
67*u
Collect the terms in 5895246*w**2 - 11790217*w**2 + 5895460*w**2.
489*w**2
Collect the terms in 0*u**3 - 837 - 2880 + 9*u**3.
9*u**3 - 3717
Collect the terms in 1167*h**2 - 2634*h**2 + 1279*h**2 + 60 + 3*h**3.
3*h**3 - 188*h**2 + 60
Collect the terms in 84731693*x + 5*x**3 - 84731693*x.
5*x**3
Collect the terms in -72*w**2 + 761678*w - 761678*w.
-72*w**2
Collect the terms in 618 - 6*g**2 - 439 - 179 - 21*g**2.
-27*g**2
Collect the terms in 5330*g - 16022*g + 5345*g - 97*g**2 + 5347*g.
-97*g**2
Collect the terms in 23 + 2*w**3 + 3*w**3 - 20 + 2*w**3 - 57*w.
7*w**3 - 57*w + 3
Collect the terms in 5*b**2 + 2320*b**3 - 5*b + 1 - b**2 - b**2.
2320*b**3 + 3*b**2 - 5*b + 1
Collect the terms in 147865715 - 305*g**2 - 295731436 + 147865721.
-305*g**2
Collect the terms in -608 - 2*z - 789 + 3*z.
z - 1397
Collect the terms in 325*s + 4 + 356*s - 701*s - 1 - 3.
-20*s
Collect the terms in 367*o**3 - 20*o**3 + 123*o**3 + 329*o**3 + 172 - 172.
799*o**3
Collect the terms in 45*l**2 + 3212414670940 - 47*l**2 - 3212414670940.
-2*l**2
Collect the terms in 8733*k**2 - 346*k**2 + 20786*k**2.
29173*k**2
Collect the terms in -178444807 + 15*q + 89222398 + 89222409.
15*q
Collect the terms in 8 - 164553*w + 6 + 82402*w - 14 + 82288*w.
137*w
Collect the terms in -52291 + 8*k + k**2 - 9*k + k.
k**2 - 52291
Collect the terms in 813*w**2 + 61 + 812*w**2 - 223*w**3 - 59 - 1625*w**2.
-223*w**3 + 2
Collect the terms in -4492*a + 17771*a - 4454*a - 4449*a - 4489*a.
-113*a
Collect the terms in -63*x + 114818*x**2 - 71*x + 199*x - 65*x.
114818*x**2
Collect the terms in -10915*g**3 - 6 + 139421*g**3 + 6.
128506*g**3
Collect the terms in 2423 + 3*f**2 + 1999 - 6130.
3*f**2 - 1708
Collect the terms in 4711*m + 11207*m**2 - 989*m**2 - 4711*m.
10218*m**2
Collect the terms in -8*u**3 - u**3 - 524*u - 7 + 10*u**3 + 1044*u - 520*u + u**3.
2*u**3 - 7
Collect the terms in 23 - 573*i - 78*i**2 - 38 + 82*i**2 + 16.
4*i**2 - 573*i + 1
Collect the terms in -2853134 - 312*j**3 + 145*j**3 + 2853134 + 163*j**3.
-4*j**3
Collect the terms in 6*g - 4*g**3 + 52686*g**2 - 28*g - 52686*g**2 - 499.
-4*g**3 - 22*g - 499
Collect the terms in 156874*s - 156874*s - 2950*s**3.
-2950*s**3
Collect the terms in 2456*q - 3409*q**3 - 2456*q + 3408*q**3.
-q**3
Collect the terms in 3123*f + 117 + 139 - 3125*f + 165 - 393.
-2*f + 28
Collect the terms in -486*k**2 - 156007 + 156007.
-486*k**2
Collect the terms in 387 - 862*k - 385 + 871*k.
9*k + 2
Collect the terms in -4*a**2 - 5882*a - 4035*a + 6*a**2.
2*a**2 - 9917*a
Collect the terms in 36*n**2 + 49315 - 15*n**2 - 23*n**2 - 49315 - 52*n.
-2*n**2 - 52*n
Collect the terms in -2*h**3 - 125 + 4*h**3 + 349 + 140.
2*h**3 + 364
Collect the terms in -12*o**3 + 2425 - 2425 - 10*o**3 - 21*o**3 + 3*o + 55*o**3.
12*o**3 + 3*o
Collect the terms in 148*q - 2*q**2 - 318*q + q**2 + 6 + 5*q**2 + 234*q.
4*q**2 + 64*q + 6
Collect the terms in 124 - 8467*n - 7375*n - 124 + 4442*n.
-11400*n
Collect the terms in -262*r**2 - 30 - 208 - 126 + 78 + 260*r**2 - 149.
-2*r**2 - 435
Collect the terms in 0 + 18704*d**2 + 0 + 59695*d**2.
78399*d**2
Collect the terms in -144*g - 134*g - 88*g - 134*g + 637*g - 133*g.
4*g
Collect the terms in 31*x**2 + 143*x**3 - 165*x**3 + 113*x**3 + 21*x**2 - 52*x**2.
91*x**3
Collect the terms in -248*n**2 - 265*n**2 - 269*n**2 - 31*n + 795*n**2 + 31*n.
13*n**2
Collect the terms in 15005056*g**3 - 88*g**2 + 44*g**2 + 44*g**2 - 15005054*g**3.
2*g**3
Collect the terms in 9 - 9 - 94920958*l.
-94920958*l
Collect the terms in -2*h**3 - 292*h - 2624772680 + 2624772680.
-2*h**3 - 292*h
Collect the terms in -334*p - 29 - 211*p + 253.
-545*p + 224
Collect the terms in 24491 + c**2 - 24231 - 44*c**2.
-43*c**2 + 260
Collect the terms in -1055 - 1048 + 3114 - 4758*x - 1011.
-4758*x
Collect the terms in -14*z**2 - 7112 + 22*z**2 - z**2 - 10*z**2.
-3*z**2 - 7112
Collect the terms in -363*f - 748*f - 176*f - 593*f - 701*f + 351*f.
-2230*f
Collect the terms in 2389 - 9689 + 2530 + 2387 - 44*q**2 + 2383.
-44*q**2
Collect the terms in -l + 42498730688 - 42498730688.
-l
Collect the terms in 3*g + 25093*g**2 - 25095*g**2 + 87*g**3 + 163*g**3.
250*g**3 - 2*g**2 + 3*g
Collect the terms in -2 - 770*m - 615*m - 320*m.
-1705*m - 2
Collect the terms in -1041686*x + 202 - 202.
-1041686*x
Collect the terms in 4 + 7 - 4 + 8410*a - 8387*a.
23*a + 7
Collect the terms in -28 - 11538857*c + 28.
-11538857*c
Collect the terms in -965 + 1940 - 197*o - 196*o + 395*o - 987.
2*o - 12
Collect the terms in 2*m - 7*m**2 + m - 3*m - 4877*m**3.
-4877*m**3 - 7*m**2
Collect the terms in -2133*f**2 - 2474*f**2 + 15*f**3 + 5*f**3.
20*f**3 - 4607*f**2
Collect the terms in 173*x**2 - 434*x**3 - 9*x**2 - 164*x**2 - 151*x**3.
-585*x**3
Collect the terms in 179*f**2 + 484256*f**3 - 92*f**2 - 87*f**2.
484256*f**3
Collect the terms in -644923 + 644923 - 3*w + 3*w + 343*w**3.
343*w**3
Collect the terms in 13122*t + 17843*t + 14572*t - 2054*t.
43483*t
Collect the terms in 33948*k + 38858*k + 28021*k + 1538*k - 21386*k.
80979*k
Collect the terms in 3246*i - 13034*i + 6545*i - i**2 + 3243*i + 4*i**2.
3*i**2
Collect the terms in -11*i - 85 + 18*i - 52 - 14*i.
-7*i - 137
Collect the terms in 3 - 3 + 14667*k**2 - 16017*k**2.
-1350*k**2
Collect the terms in 619775 - 619775 + 15*s.
15*s
Collect the terms in -735 + 0*m - 277 + 455 - 541 - 5*m.
-5*m - 1098
Collect the terms in 3*k - 19078 + 6291 + 6490 + 6297.
3*k
Collect the terms in 12991*r**2 + 13121*r**2 + 13113*r**2 + 13116*r**2 - 52341*r**2 + 5*r**3.
5*r**3
Collect the terms in -32 + 11 + 13902*w**3 - 13891*w**3 - 9.
11*w**3 - 30
Collect the terms in -12*n + 0 - 1049*n**2 + 2 + 3738*n**2 + 0*n.
2689*n**2 - 12*n + 2
Collect the terms in 1238 - 5506853*v**2 + 5506854*v**2 - 1454.
v**2 - 216
Collect the terms in 9*p - 15*p - 7512*p**2 + 7515*p**2 + 14*p.
3*p**2 + 8*p
Collect the terms in -20264*i**3 + 20252*i**3 - i - 9*i + 10*i.
-12*i**3
Collect the terms in 29366757*d**3 - 29367184*d**3 + 4 + 2*d**2 - 4.
-427*d**3 + 2*d**2
Collect the terms in 521606*v**3 - 522029*v**3 + 0 + 0.
-423*v**3
Collect the terms in -2*k**3 - 68*k**2 + 52*k**2 - 52 - 65*k**2.
-2*k**3 - 81*k**2 - 52
Collect the terms in 14152530*l - 14152511*l - 3*l**2 + l**2.
-2*l**2 + 19*l
Collect the terms in -182*p + 554*p - 200*p - 192*p.
-20*p
Collect the terms in -48072*t**3 - 156455*t**3 - 106552*t**3 + 53508*t**3.
-257571*t**3
Collect the terms in -11*z - 43*z + 2*z**2 - 363 + 351.
2*z**2 - 54*z - 12
Collect the terms in 19*a**2 - 5*a**3 - a**3 + 7*a**3 - 18*a**2 - 8*a + 791.
a**3 + a**2 - 8*a + 791
Collect the terms in 603*c - 3337 - 938 - 197*c - 196*c - 209*c.
c - 4275
Collect the terms in -1628*j**2 - 1655*j**2 + 866*j**2.
-2417*j**2
Collect the terms in 5148*k - 88 - 10323*k + 5153*k.
-22*k - 88
Collect the terms in -147060 - 147138 + 294198 - 10*y + 24*y + 19*y + 9*y.
42*y
Collect the terms in 271268*l**3 - 137029*l**3 - 134237*l**3.
2*l**3
Collect the terms in 19215*t - 9234*t + 4847*t + 34250*t.
49078*t
Collect the terms in -8384534*j - 373*j**2 + 8384534*j + 59*j**2.
-314*j**2
Collect the term
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the third root of 71478 to the nearest integer?
42
What is the fourth root of 1870 to the nearest integer?
7
What is the third root of 7302 to the nearest integer?
19
What is the third root of 3115 to the nearest integer?
15
What is the third root of 2781 to the nearest integer?
14
What is the third root of 422 to the nearest integer?
8
What is 5403 to the power of 1/6, to the nearest integer?
4
What is the third root of 612 to the nearest integer?
8
What is 52452 to the power of 1/2, to the nearest integer?
229
What is the cube root of 982 to the nearest integer?
10
What is the third root of 19476 to the nearest integer?
27
What is the tenth root of 592 to the nearest integer?
2
What is 12169 to the power of 1/2, to the nearest integer?
110
What is 32161 to the power of 1/10, to the nearest integer?
3
What is 115 to the power of 1/4, to the nearest integer?
3
What is the cube root of 2865 to the nearest integer?
14
What is the cube root of 1499 to the nearest integer?
11
What is the third root of 381 to the nearest integer?
7
What is 60356 to the power of 1/2, to the nearest integer?
246
What is the sixth root of 6405 to the nearest integer?
4
What is 7253 to the power of 1/2, to the nearest integer?
85
What is the ninth root of 4445 to the nearest integer?
3
What is 6958 to the power of 1/10, to the nearest integer?
2
What is 3048 to the power of 1/3, to the nearest integer?
14
What is 2235 to the power of 1/3, to the nearest integer?
13
What is 879 to the power of 1/2, to the nearest integer?
30
What is the eighth root of 6214 to the nearest integer?
3
What is 1819 to the power of 1/2, to the nearest integer?
43
What is 2206 to the power of 1/2, to the nearest integer?
47
What is 5042 to the power of 1/2, to the nearest integer?
71
What is the eighth root of 178 to the nearest integer?
2
What is 64290 to the power of 1/3, to the nearest integer?
40
What is 19776 to the power of 1/2, to the nearest integer?
141
What is the seventh root of 1653 to the nearest integer?
3
What is 65242 to the power of 1/2, to the nearest integer?
255
What is the cube root of 556 to the nearest integer?
8
What is 830 to the power of 1/9, to the nearest integer?
2
What is the third root of 4503 to the nearest integer?
17
What is 127746 to the power of 1/5, to the nearest integer?
11
What is the third root of 27777 to the nearest integer?
30
What is 30755 to the power of 1/3, to the nearest integer?
31
What is the square root of 13048 to the nearest integer?
114
What is the third root of 45266 to the nearest integer?
36
What is the cube root of 128257 to the nearest integer?
50
What is the third root of 2027 to the nearest integer?
13
What is the third root of 9846 to the nearest integer?
21
What is 148 to the power of 1/4, to the nearest integer?
3
What is the square root of 891 to the nearest integer?
30
What is 1541 to the power of 1/9, to the nearest integer?
2
What is the seventh root of 6699 to the nearest integer?
4
What is the third root of 565 to the nearest integer?
8
What is 21876 to the power of 1/2, to the nearest integer?
148
What is 37839 to the power of 1/2, to the nearest integer?
195
What is 15650 to the power of 1/7, to the nearest integer?
4
What is the third root of 25376 to the nearest integer?
29
What is 17 to the power of 1/4, to the nearest integer?
2
What is the third root of 12860 to the nearest integer?
23
What is the fifth root of 152885 to the nearest integer?
11
What is the tenth root of 1081 to the nearest integer?
2
What is 1811 to the power of 1/2, to the nearest integer?
43
What is the cube root of 26899 to the nearest integer?
30
What is the fifth root of 3267 to the nearest integer?
5
What is 18627 to the power of 1/7, to the nearest integer?
4
What is the tenth root of 172857 to the nearest integer?
3
What is the eighth root of 8240 to the nearest integer?
3
What is the sixth root of 9465 to the nearest integer?
5
What is 147 to the power of 1/9, to the nearest integer?
2
What is the cube root of 67954 to the nearest integer?
41
What is 129 to the power of 1/6, to the nearest integer?
2
What is 4360 to the power of 1/2, to the nearest integer?
66
What is the third root of 196 to the nearest integer?
6
What is the square root of 2277 to the nearest integer?
48
What is the third root of 539 to the nearest integer?
8
What is the cube root of 56486 to the nearest integer?
38
What is 29416 to the power of 1/6, to the nearest integer?
6
What is 84434 to the power of 1/6, to the nearest integer?
7
What is the third root of 23426 to the nearest integer?
29
What is 2188 to the power of 1/10, to the nearest integer?
2
What is 5330 to the power of 1/2, to the nearest integer?
73
What is the ninth root of 87 to the nearest integer?
2
What is 48 to the power of 1/3, to the nearest integer?
4
What is 2791 to the power of 1/3, to the nearest integer?
14
What is the square root of 1516 to the nearest integer?
39
What is the square root of 785 to the nearest integer?
28
What is the third root of 136 to the nearest integer?
5
What is 338 to the power of 1/2, to the nearest integer?
18
What is 84430 to the power of 1/3, to the nearest integer?
44
What is the cube root of 15592 to the nearest integer?
25
What is the fourth root of 7878 to the nearest integer?
9
What is 52592 to the power of 1/3, to the nearest integer?
37
What is the square root of 11636 to the nearest integer?
108
What is the third root of 15084 to the nearest integer?
25
What is the cube root of 1220 to the nearest integer?
11
What is 64918 to the power of 1/9, to the nearest integer?
3
What is 6540 to the power of 1/2, to the nearest integer?
81
What is 2591 to the power of 1/8, to the nearest integer?
3
What is 9184 to the power of 1/2, to the nearest integer?
96
What is the tenth root of 41891 to the nearest integer?
3
What is the square root of 1405 to the nearest integer?
37
What is 1830 to the power of 1/7, to the nearest integer?
3
What is 8743 to the power of 1/7, to the nearest integer?
4
What is 1420 to the power of 1/2, to the nearest integer?
38
What is 1330 to the power of 1/3, to the nearest integer?
11
What is the cube root of 192 to the nearest integer?
6
What is the square root of 6541 to the nearest integer?
81
What is 34269 to the power of 1/3, to the nearest integer?
32
What is 57316 to the power of 1/2, to the nearest integer?
239
What is the fourth root of 2861 to the nearest integer?
7
What is the cube root of 59984 to the nearest integer?
39
What is the cube root of 13713 to the nearest integer?
24
What is 28500 to the power of 1/10, to the nearest integer?
3
What is the sixth root of 11990 to the nearest integer?
5
What is the square root of 1982 to the nearest integer?
45
What is 707 to the power of 1/7, to the nearest integer?
3
What is the third root of 4439 to the nearest integer?
16
What is the third root of 704 to the nearest integer?
9
What is 1247 to the power of 1/7, to the nearest integer?
3
What is 2611 to the power of 1/7, to the nearest integer?
3
What is 2272 to the power of 1/4, to the nearest integer?
7
What is the sixth root of 3081 to the nearest integer?
4
What is 9830 to the power of 1/2, to the nearest integer?
99
What is 2586 to the power of 1/6, to the nearest integer?
4
What is the square root of 883 to the nearest integer?
30
What is the square root of 70814 to the nearest integer?
266
What is 6985 to the power of 1/2, to the nearest integer?
84
What is the ninth root of 81382 to the nearest integer?
4
What is 1811 to the power of 1/7, to the nearest integer?
3
What is the square root of 1074 to the nearest integer?
33
What is the third root of 878 to the nearest integer?
10
What is the square root of 5326 to the nearest integer?
73
What is the third root of 25892 to the nearest integer?
30
What is the third root of 7332 to the nearest integer?
19
What is 651 to the power of 1/2, to the nearest integer?
26
What is the square root of 34716 to the nearest integer?
186
What is the third root of 16738 to the nearest integer?
26
What is 22930 to the power of 1/7, to the nearest integer?
4
What is the tenth root of 7276 to the nearest integer?
2
What is the fifth root of 252 to the nearest integer?
3
What is 103805 to the p
|
{
"pile_set_name": "DM Mathematics"
}
|
Let h = -347/2 - -789/4. Calculate the common denominator of -107/10 and h.
20
Suppose -2*d - 2*d + 36 = 2*t, 0 = -4*t + 8. Calculate the smallest common multiple of 14 and d.
56
Let o be 2811/(-6)*4/(-214). Let t = o - 3/428. Calculate the common denominator of (-3)/9 - (-100)/18 and t.
36
What is the lowest common multiple of (-258)/(-12) + 3/(-6) and 30?
210
Let f = 11/8 - 25/4. Find the common denominator of ((-1)/21)/(18/(-2751)) and f.
72
Suppose -2*d = 5*a + 29 + 3, -4*a - 27 = 3*d. Let x(j) = j**2 + 4*j - 5. Calculate the lowest common multiple of x(a) and 7.
7
Let a = 19582 - 352589/18. What is the common denominator of 17/20 and a?
180
Suppose 3*r = -0*r + 66. Suppose 8 = 5*t + 2*q, -2*t - 5*q + 2*q + 1 = 0. Suppose 0 = y - 8 + t. What is the lowest common multiple of r and y?
66
Calculate the common denominator of 47/3 and 3092/(-840) + 4/(-14).
30
Suppose s = -0*s. Suppose s = -2*j - 2 - 2, 4*u - 3*j - 50 = 0. Calculate the lowest common multiple of 11 and u.
11
Calculate the lowest common multiple of (13 - 10) + (1 - -7) and 7.
77
Let x = 2 - -14. Calculate the least common multiple of x and 12.
48
Calculate the common denominator of 213/6 - -4 - 2 and (-2)/(40/(-6)) - 2.
10
Suppose -1 = -a - 3. Let o be ((-4)/(-3))/(a/(-3)). Suppose -k = 1 - o. What is the least common multiple of 1 and k?
1
Suppose p = 34101743 - 319128077. Let q = 1439097968738/5049 + p. Let d = q - 10/459. What is the common denominator of 40/7 and d?
77
Let z = 12889/105 + -634/5. Find the common denominator of z and -23/24.
168
Let z = -223913/16 - -14000. Calculate the common denominator of z and -11/16.
16
Let d = -7263 + 65437/9. Calculate the common denominator of d and -4/5.
45
Let j(w) = -w + 1. Suppose -148 + 28 = -5*x. Calculate the lowest common multiple of j(-3) and (x/(-14))/((-8)/28).
12
Suppose 33 = 4*y + 4*n - n, 0 = 5*y + 2*n - 50. What is the lowest common multiple of (-5)/(9/y - 1) and 22?
220
Let w = -5/184 + 4329/184. Calculate the common denominator of 29/2 and w.
2
Let w = 5 - -1. Let f(c) = c**3 - 7*c**2 + 9*c. Let l be f(w). Suppose o - 3*d - 7 = 0, l = 2*o - 5*d + 3*d. Calculate the lowest common multiple of 8 and o.
40
Let b = 9686 - 232549/24. What is the common denominator of b and 68/3?
24
Let b = -9/346 - -2494/92555. Let i = -601073/535 + b. Let n = -1158 - i. Calculate the common denominator of 49/4 and n.
4
Let t be -2 - (-1 + -5)/1. Let i be (t/(-6))/(2/(-42)). What is the common denominator of 27/(-462) + 4/i and 83/12?
132
Suppose 5827 = 5*o - p, -4*o - 4*p = -2*o - 2344. Let g = o + -1986. Let x = -5683/7 - g. What is the common denominator of x and -36/7?
7
Suppose -5*n + 89 = -3*b, 5*n + 5*b - 30 = 35. What is the smallest common multiple of n and 20?
80
Find the common denominator of 107/8 + (48/(-6) - -6) and -19/11.
88
Let m = 27693/3880 + -6/485. What is the common denominator of m and ((-9)/(-2))/((-4)/(-14))?
8
Suppose 2*z = -2*i - 5 + 19, 20 = 4*i - 4*z. Let q(s) be the second derivative of s**3/3 - 2*s**2 + 2*s. What is the lowest common multiple of i and q(6)?
24
Suppose 2*m - 8 = 2*y, -3*y = -m - 5*y - 2. Calculate the smallest common multiple of 4 and m.
4
Let f(y) = -y + 16. Suppose 4*z = -5*k, -25 = -2*k + 3*z - 2. Calculate the smallest common multiple of k and f(14).
4
Let s = -18 - 1. Let c = 76 - 43. Let m = c + s. Calculate the least common multiple of m and 4.
28
Suppose 39*j - 32*j = 70. Let s be (2 - 1) + 12/(-2). Let r = s + 9. Calculate the lowest common multiple of r and j.
20
Let m = -93 - -31. Calculate the common denominator of ((-4)/(-48))/((-3)/(-8)) and m/(-16) + (4 - 1).
72
Let d(p) = 7*p + 5 + 2*p**2 - 1 - 3*p**2 - p. Suppose 2*q - 5 = -o + 10, -2*o - q + 18 = 0. Calculate the lowest common multiple of o and d(6).
28
Let l(f) = f + 7. Calculate the lowest common multiple of l(-6) and 7.
7
Let h be (20/6)/((-2)/(-24)). Suppose -5*f + h - 5 = 0. Suppose 4*c + 24 = 4*m, -2*m + 8 + 4 = -5*c. Calculate the least common multiple of m and f.
42
Calculate the common denominator of 1/3 and -138*(-1)/4 - 3.
6
Let z = -17939423/21040 - -1738/1315. Let y = 853 + z. What is the common denominator of y and 16/104 - (-1782)/(-260)?
80
Let q(c) = -248*c - 1. Let r be q(2). Let y = -351 - r. Find the common denominator of 75/2 and (-3)/132*-1*y.
22
Let i = -4 + 10. Suppose t = 2*p + 24, -3*p + 109 = 5*t - 2*p. Let j = t + -15. What is the smallest common multiple of i and j?
42
Let m(i) = -i**3 + 6*i**2 - 5*i + 12. What is the least common multiple of m(5) and 24?
24
Let i = 963/470 + 40/47. What is the common denominator of i and 33/16?
80
What is the common denominator of (-5390)/(-968) - 2/(-11) and 28/19?
76
Let c be (48/(-10))/((-2)/40). Let p be c/(-9)*-3*1. Find the common denominator of -11/9 and 18/(-3)*(-46)/p.
72
Suppose 3 = 2*s - 9. Suppose -5*g - 166 = 229. Find the common denominator of 13/7 and g/s + 1/1.
42
Find the common denominator of 95/16 and ((-45)/(-48))/(6/(-68)).
16
Let r(g) be the first derivative of 3*g**2/2 - 11*g - 1. What is the least common multiple of r(11) and 2?
22
What is the common denominator of 3496/(-480) - 1/(-5) and -121/18?
36
Let x be 26/(1 - (-2)/(-1)). What is the common denominator of (x/(-20))/((-2)/(-14)) and ((-102)/(-4))/(0 - -12)?
40
Suppose 0 = 2*z - 2 - 0. Let j(y) = 14*y**2 - y + 1. What is the smallest common multiple of 6 and j(z)?
42
Suppose m = 4*y - 17, 3 - 2 = y + 3*m. Calculate the lowest common multiple of y and 8.
8
Suppose -2*f = -5*a - 10, 0*a + 3*a - 5*f + 25 = 0. Suppose -z + 2*r - r + 29 = a, -3*z + 67 = r. What is the common denominator of (-92)/50*(-30)/z and 3/5?
10
Suppose -6*b + 5 = -2*f - 3*b, 2 = -5*f + 4*b. Calculate the lowest common multiple of f and 7.
14
Let z = -769035 - -87670951/114. Let w = z + -290/19. Let n = -3559/6 - -596. What is the common denominator of w and n?
6
Let t = -280 - -2713/10. Let f be -1*10*2/5. Find the common denominator of t and (8/(-110))/(f/50).
110
Let q = 164 + -78. Suppose -78 = -3*z - 2*z + c, 0 = 5*z + 3*c - q. Calculate the smallest common multiple of z and 4.
16
Let u = -5089/986 + 98/17. Calculate the common denominator of 29/4 and u.
116
Let x be (-1 - (-15)/14)*321. Let h be (-2)/56*24042/(-33). Let z = h - x. What is the common denominator of z and 67/4?
44
Suppose -7*d + 48 = -99. What is the smallest common multiple of d and 3?
21
Let v(y) = y - 6. Let z be v(9). Find the common denominator of 37/20 and z*147/162 - 3.
180
Suppose 2*q + 2*q - 16 = 0, 0 = -f - 2*q + 380. Calculate the common denominator of f/8*(-8)/(-30) and 146/(-4) + (-3)/(-1).
10
Let s = -7 + 16. Suppose 2*y + m = 17, -y = -5*m + 6*m - s. What is the least common multiple of y and 18?
72
Let v = 2079 - 16583/8. Find the common denominator of v and -85/48.
48
Let c = -97675/18 - -5422. Let g = 253/2 + -150. Calculate the common denominator of g and c.
18
Suppose -l + 0*l - 56 = -3*q, -4*l = 8. Suppose i + 3*i - 72 = 0. Calculate the smallest common multiple of i and q.
18
Let x = 590 - 5937/10. What is the common denominator of 2 - (127/18 - -1) and x?
90
Let y = -3439/2 + 1760. Calculate the common denominator of 4/14 + 578/84 and y.
6
Suppose 0 = 6*j - j - 20. Calculate the lowest common multiple of j and 10.
20
Suppose 17935 = -5*d - 960. Let g = 5886 + d. Let m = g - 12673/6. Find the common denominator of -95/12 and m.
12
Suppose 0 = -3*p + 7 - 34. Calculate the common denominator of 13/5 and p*(0 - (-17)/33).
55
Suppose -h - 2*f = -f - 32, 4*h - f - 153 = 0. Suppose 3*t + 3 = -4*p + 22, -5*t - 4*p = -h. Calculate the smallest common multiple of 7 and t.
63
Let v = -14 + -49. What is the common denominator of (v/33 + 2)*54 and -31/3?
33
Suppose 135 = -2*l + 23. What is the common denominator of -113/20 and (-1 + l)/(4 + -2)?
20
Suppose -k + 0*f + f = -127, 0 = -5*k + 2*f + 650. Find the common denominator of 4/16 + (-382)/(-88) and (-4)/12 - (-470)/k.
22
Find the common denominator of 31/2 and 4/8 + 0 + (-1)/(-5).
10
Suppose -2*q + 105 = q. Let w = q - 21. Calculate the smallest common multiple of 12 and w.
84
What is the common denominator of 2/(-28)*71 + -1 and 9/6 - (-58)/(-24)?
84
Let k(q) be the third derivative of -q**4/24 + 2*q**2. Let y be k(3). What is the lowest common multiple of 2 and (-2)/y + (-32
|
{
"pile_set_name": "DM Mathematics"
}
|
und -0.6824538393 to 4 dps.
-0.6825
Round -7.075642412 to 2 decimal places.
-7.08
What is 973363.039 rounded to the nearest one hundred thousand?
1000000
What is -0.4259986158 rounded to 2 dps?
-0.43
What is -772.96763 rounded to 0 dps?
-773
Round -168503629 to the nearest ten thousand.
-168500000
Round -0.1207267038 to four decimal places.
-0.1207
What is -0.0003538472344 rounded to four dps?
-0.0004
Round 403.390458 to the nearest ten.
400
What is -0.033040649 rounded to three decimal places?
-0.033
Round -0.0000047947977 to seven decimal places.
-0.0000048
Round 0.258033215 to two decimal places.
0.26
Round -0.00019475751593 to 5 dps.
-0.00019
What is -1219358.032 rounded to the nearest 100000?
-1200000
What is 14516.032 rounded to the nearest 100?
14500
Round 0.017024329 to 3 dps.
0.017
Round -2176679432 to the nearest 1000000.
-2177000000
What is 2775.3102 rounded to the nearest ten?
2780
Round -0.1924443034 to 3 dps.
-0.192
What is -9566750.89 rounded to the nearest one thousand?
-9567000
Round 0.0714454104 to 2 decimal places.
0.07
Round 10.8557049 to three decimal places.
10.856
Round -7560034 to the nearest ten thousand.
-7560000
What is 2.71532273 rounded to the nearest integer?
3
What is -22059796 rounded to the nearest 100000?
-22100000
What is 65368.014 rounded to 0 decimal places?
65368
Round -479174.461 to the nearest 10000.
-480000
What is -0.486928194 rounded to 4 decimal places?
-0.4869
What is -455638.445 rounded to the nearest ten?
-455640
Round -0.00166470695 to 3 decimal places.
-0.002
What is -0.00000525976075 rounded to seven dps?
-0.0000053
Round -0.0009712191 to seven dps.
-0.0009712
What is -12309.8401 rounded to the nearest 10?
-12310
What is 0.000354724379 rounded to six decimal places?
0.000355
Round 5.879358313 to one dp.
5.9
What is -0.10729528459 rounded to six decimal places?
-0.107295
Round 187101.249 to the nearest one hundred.
187100
Round -0.00355861409 to four dps.
-0.0036
Round 14927353.5 to the nearest 10000.
14930000
What is 363442643.1 rounded to the nearest 100000?
363400000
Round -4098640326 to the nearest one million.
-4099000000
Round 0.000000348551224 to six decimal places.
0
Round -32019414.1 to the nearest one million.
-32000000
What is -1074014.307 rounded to the nearest ten thousand?
-1070000
What is 1415.89201 rounded to the nearest ten?
1420
Round -52396.98 to the nearest one thousand.
-52000
Round -0.00000364711802 to seven decimal places.
-0.0000036
Round 2488376.18 to the nearest 100.
2488400
Round -39.89341851 to 0 dps.
-40
Round -210460.951 to the nearest ten.
-210460
What is 4223739.33 rounded to the nearest one hundred?
4223700
Round -531.575957 to the nearest one hundred.
-500
Round -0.047410928 to five dps.
-0.04741
What is -0.00248685197 rounded to 5 decimal places?
-0.00249
Round 0.0335186231 to 4 decimal places.
0.0335
What is -0.04389722647 rounded to three decimal places?
-0.044
Round -167.3751034 to the nearest 10.
-170
Round -73615.827 to the nearest one thousand.
-74000
What is -52.3051762 rounded to the nearest integer?
-52
What is 0.00001321146134 rounded to six dps?
0.000013
What is 0.66715672 rounded to the nearest integer?
1
What is 77198427.98 rounded to the nearest ten thousand?
77200000
Round 1756.32049 to the nearest ten.
1760
Round -24795.8328 to the nearest one hundred.
-24800
What is 2993251186 rounded to the nearest 100000?
2993300000
What is -2215917.27 rounded to the nearest 1000?
-2216000
What is -183334272.8 rounded to the nearest 100000?
-183300000
Round 2980386.24 to the nearest 100.
2980400
Round 4.9393862 to three decimal places.
4.939
What is 0.008374172 rounded to 6 decimal places?
0.008374
Round 8.769128 to the nearest ten.
10
Round 0.3300571225 to 3 decimal places.
0.33
What is -16.13792972 rounded to the nearest integer?
-16
Round 0.0175417839 to 4 dps.
0.0175
Round -0.00096621533 to four dps.
-0.001
What is 0.0000078940346 rounded to seven decimal places?
0.0000079
What is -2.95996628 rounded to 3 decimal places?
-2.96
What is -45823795 rounded to the nearest ten thousand?
-45820000
Round -0.00094606882 to 5 dps.
-0.00095
What is -121.5883776 rounded to the nearest integer?
-122
What is -597730.436 rounded to the nearest 100?
-597700
Round -31.5842479 to three dps.
-31.584
Round -0.0000775949216 to six decimal places.
-0.000078
What is 191633.786 rounded to the nearest 10000?
190000
What is -2867.970694 rounded to the nearest one hundred?
-2900
What is 0.03953826387 rounded to five decimal places?
0.03954
Round 0.00001323106531 to 7 decimal places.
0.0000132
Round 90837292.3 to the nearest ten thousand.
90840000
What is 50442180 rounded to the nearest 1000000?
50000000
Round -0.01551695 to four dps.
-0.0155
Round 120794914.9 to the nearest one million.
121000000
What is 26196941.1 rounded to the nearest 10000?
26200000
Round -12057.535 to the nearest one hundred.
-12100
What is -34.582879 rounded to zero dps?
-35
Round 1250844870 to the nearest one hundred thousand.
1250800000
What is -0.0000388441871 rounded to six dps?
-0.000039
Round -0.01323217 to three decimal places.
-0.013
Round -292.43885 to the nearest integer.
-292
Round -1098.0893762 to the nearest 100.
-1100
What is 28314.1587 rounded to the nearest one hundred?
28300
What is -2.43820412 rounded to two dps?
-2.44
What is 2792.3162 rounded to the nearest integer?
2792
What is 49165745 rounded to the nearest one million?
49000000
Round -41249.53712 to the nearest ten thousand.
-40000
Round 0.000009977675 to five dps.
0.00001
Round -0.081957987 to 2 dps.
-0.08
What is 11.2865769 rounded to 2 decimal places?
11.29
Round -0.00000308993714 to 7 decimal places.
-0.0000031
What is 55.5096593 rounded to the nearest ten?
60
Round -0.025409111 to 2 dps.
-0.03
What is -7.1066181 rounded to two dps?
-7.11
Round 5656806120 to the nearest one million.
5657000000
What is 0.01406339812 rounded to 3 dps?
0.014
Round -249956.63 to the nearest 1000.
-250000
Round -66.040076 to one decimal place.
-66
Round -0.38438836 to 3 decimal places.
-0.384
What is 43.93152 rounded to the nearest 10?
40
Round -572133.261 to the nearest ten thousand.
-570000
Round 0.00808439954 to three decimal places.
0.008
Round -0.0000797311029 to 7 decimal places.
-0.0000797
Round -0.00120948305 to 6 dps.
-0.001209
Round -8402861.78 to the nearest one hundred.
-8402900
What is 0.335618304 rounded to four dps?
0.3356
What is 5587.531179 rounded to the nearest integer?
5588
Round 2646584.326 to the nearest one hundred thousand.
2600000
What is -67891873.57 rounded to the nearest ten thousand?
-67890000
Round 0.056243465 to two decimal places.
0.06
Round 274.17364 to the nearest integer.
274
Round 511.804953 to the nearest 10.
510
Round -5769.06587 to the nearest one thousand.
-6000
What is 553128832 rounded to the nearest one million?
553000000
What is 0.0002318013123 rounded to seven dps?
0.0002318
What is -708356742 rounded to the nearest one hundred thousand?
-708400000
Round -8312662.3 to the nearest 1000.
-8313000
Round 800247412.5 to the nearest 100000.
800200000
Round -14990.8503 to the nearest 100.
-15000
Round 15491235.6 to the nearest 10000.
15490000
What is -0.000002943824109 rounded to seven decimal places?
-0.0000029
Round -197.065343 to one decimal place.
-197.1
What is 1.658806128 rounded to 1 dp?
1.7
Round 2.67970581 to the nearest 10.
0
What is -34874893.89 rounded to the nearest 100000?
-34900000
Round 0.0004261504717 to 6 decimal places.
0.000426
What is -3541301.801 rounded to the nearest 100000?
-3500000
Round -127.6326618 to zero decimal places.
-128
What is 65.01299 rounded to two dps?
65.01
What is 0.00233432179 rounded to 7 decimal places?
0.0023343
What is -0.110143147 rounded to 3 dps?
-0.11
What is -2888828.263 rounded to the nearest one million?
-3000000
What is 0.01697379557 rounded to 5 decimal places?
0.01697
Round -54895756.23 to the nearest 10000.
-54900000
Round 0.00555162489 to 5 decimal places.
0.00555
What is 4.278600256 rounded to four dps?
4.2786
Round 0.02310223259 to 6 dps.
0.023102
What is 14320989.6 rounded to the nearest 10000?
14320000
What is -0.1141931007 rounded to four decimal places?
-0.1142
What is 454770670 rounded to the nearest 1000000?
455000000
What is -1999463.09 rounded
|
{
"pile_set_name": "DM Mathematics"
}
|
-165423 - 575*i - 737*i + 165423 to v*i + a and give v.
-1312
Rearrange 1231*g + 2379*g + 4241*g + 11246*g to q + b*g and give b.
19097
Express -56 + 104 + 69 + 9*t - 190 in the form w*t + k and give k.
-73
Rearrange 2858 + 2*r**4 + r - 1450 - 1409 - 115*r**3 to the form a + n*r**3 + v*r**2 + i*r**4 + z*r and give z.
1
Express -78*y**2 - 13*y - 79*y**2 + 239*y**2 - 76*y**2 + y**3 as z*y**3 + x + u*y + k*y**2 and give k.
6
Rearrange -553*y**2 - 690*y**2 + 701*y**2 - 7*y to w + z*y**2 + q*y and give z.
-542
Rearrange (0 - 2*q + 0)*(2 - 3183900*q + 3186132*q - 1) - 2*q + 2*q - 2*q**2 to the form j + f*q + h*q**2 and give h.
-4466
Express 848*y + 1 + 4*y**3 + 5 - 32*y**2 - 459*y - 387*y as x*y**3 + s + d*y**2 + j*y and give d.
-32
Express -967*x**2 - 1307 + 1307 in the form c*x + a*x**2 + i and give a.
-967
Express 5*z - 1238*z**4 - z**2 + 1 + 4*z - 211*z**4 - 17*z + 9*z in the form m*z**2 + o*z**4 + i*z**3 + q + h*z and give m.
-1
Rearrange (5*o**4 - 2*o + 2*o)*(307 + 193 - 59) + (-3 + 6 - 4)*(-3*o**4 + 2*o**4 - 2*o**4) to the form k*o + m + c*o**3 + j*o**4 + z*o**2 and give k.
0
Express (-3866 + 3866 - 21161*g + 2491*g)*(-3*g**2 - 2*g**2 + 3*g**2) in the form s*g**2 + u + z*g + b*g**3 and give b.
37340
Rearrange (-15*p**2 - 2*p**2 - 11*p**2)*(6 - 8 + 18)*(-3*p - 2 + 2)*(4*p - p - 2*p) to c + b*p + m*p**3 + w*p**4 + q*p**2 and give w.
1344
Rearrange -203*q + 802 - 304 - 249 - 275 to v + g*q and give v.
-26
Express (0*u + u - 3*u)*((-4 + 4 + 3)*(-18 - 8 + 0) + 1 - 1 + 2 - 3 + 4 - 2)*(-10 - 23 - 17) as c*u + y and give c.
-7700
Rearrange 1954*u**2 + 0 + 2 + 34*u - 1989*u**2 to the form g + t*u**2 + v*u and give g.
2
Rearrange -6812 + 13632 - 6820 + 28*w**2 - 14*w to the form i + y*w**2 + o*w and give y.
28
Rearrange ((1 - 1 + 1)*(-2 - 2 + 3) - 1 + 4 - 1)*(-1209*q**2 - q**3 + 4243*q**2 + 4160*q**2) to z*q + v + t*q**2 + a*q**3 and give a.
-1
Express (-v + 0 + 0)*(-5 - 3 + 12)*(-2121 + 379 + 771) in the form q + l*v and give q.
0
Rearrange (-4*k**2 + 0*k**2 + 2*k**2)*((6 + 8 + 10)*(-16 + 3 - 2) + 1 - 2 - 1 + (-1 - 3 + 3)*(0 + 0 - 1)) to the form q*k + m*k**2 + x and give m.
722
Express -256*p + 375 - 255 + 259*p + 578 - 29 in the form u*p + c and give c.
669
Rearrange (v + v + 4*v)*(13*v + 7 - 7)*(-4*v + 20*v + 15*v) to c*v**3 + t*v + k + h*v**2 and give h.
0
Express (-260*g - 94*g - 6*g**4 + 73*g)*(-6 + 0 + 2) - 3*g**4 + 3*g**4 - g**4 as i*g**2 + k*g**4 + y*g**3 + m + d*g and give d.
1124
Express (970*o - 2000456 + 2000456)*(2*o - 7*o + 2 + 2*o) as k + v*o + i*o**2 and give v.
1940
Express -2988*i + 5977*i - 2988*i + 947 in the form v*i + m and give m.
947
Express -f**4 + 3*f**4 + 0*f**4 + (10 + 15*f + 63*f - 69*f)*(-2*f + 4*f**3 - 2*f**3 - f**3) in the form q*f**3 + k + j*f**4 + m*f + s*f**2 and give q.
10
Rearrange 370 + 288 + 727 + 2*c to y + j*c and give j.
2
Rearrange -l + 0*l - 21 + l + 2*l - 4*l**2 - 15 to o*l + a*l**2 + p and give p.
-36
Rearrange (0*v**2 - 13*v**2 - 10*v**2)*(4*v - 8*v + 3*v - 387*v**2) + v**4 + 2*v - 2*v to the form k*v**2 + b*v**4 + q*v**3 + w + x*v and give k.
0
Express (-1 + 3*h + 1)*(6*h**3 + 9*h - 9*h) + 2*h**4 - 5*h**4 + h**4 + 132*h**4 + 26747 - 26747 as m + i*h + k*h**3 + v*h**4 + o*h**2 and give v.
148
Rearrange 8 + 6*l + 9*l - 20*l + 2*l**2 - 5 to f*l + s + b*l**2 and give b.
2
Express (7 + 23 + 15)*(11*h - 7*h + 5*h)*(-1 - 4 + 3 + (-1 - 3 + 3)*(-2 + 3 + 1) + 7 + 2 - 3) as l*h + d and give l.
810
Express (6*u**3 - 3*u**3 + u**3)*((-1 + 0 + 0)*(0 + 0 + 1) + 154 - 298 - 783) in the form f*u**3 + k*u + l*u**2 + o and give f.
-3712
Rearrange -42 - 39 - 1458*t - 33 + 114 to d*t + i and give d.
-1458
Rearrange c + 69 + 12*c**2 + 7 - 62*c**3 - 6*c**2 + 60*c**3 to w*c**2 + g*c**3 + f*c + z and give z.
76
Rearrange -4*y**2 - 2*y**4 - 958334*y**3 + 13*y**4 + 958336*y**3 to the form l*y**3 + q + t*y**2 + f*y**4 + i*y and give f.
11
Rearrange 13*g**2 - 16*g - 16 + 49 - 45*g**2 + 27*g**2 + 10*g**2 to the form o*g + w*g**2 + f and give f.
33
Express (20*r**2 + 293*r - 293*r)*(162 + 34 - 70) as f + y*r**2 + w*r and give y.
2520
Express -246*y + 5*y**2 + 412*y - 157*y + 66*y**4 as c*y**2 + i*y**3 + q*y + l*y**4 + u and give q.
9
Rearrange (9 - 18*q - 9)*(1940*q + 222 - 131 - 91) to the form o + x*q**2 + k*q and give x.
-34920
Rearrange -75543*u**2 + 2*u**3 - u - 3 + 37769*u**2 + 37772*u**2 to the form r + y*u**2 + q*u**3 + d*u and give d.
-1
Express -c + 315 - 85*c**2 + 320 + 18*c**2 - 603 in the form a*c + j*c**2 + x and give j.
-67
Express (-73*p**2 + 54*p**2 + 48*p**2)*(-4*p + 18 - 18) as j*p**2 + a*p + s*p**3 + m and give s.
-116
Rearrange -z - 7*z**4 + 23*z**4 - 7*z**4 + 214 - 2*z**2 - 8*z**4 - z to the form l*z**3 + i*z**4 + h + b*z + m*z**2 and give m.
-2
Express -220*o + 16*o + 207*o + 353*o**2 + 6 + (-o - 2*o + o)*(-6*o + 2*o + 2*o) in the form f*o**2 + j + v*o and give j.
6
Rearrange -10*b**2 - 222 + 404 - 215 to d*b + h + l*b**2 and give l.
-10
Express -5 - 3*s**2 + 0*s**2 + 130821*s - 130805*s as z*s**2 + q*s + d and give q.
16
Express -562 + 279 - 252*i**2 + 3*i**3 + 283 in the form c*i**3 + u*i + d + x*i**2 and give c.
3
Rearrange 2*s - 7*s**2 + 2*s**2 + 5383*s**3 - 5381*s**3 - 111*s**4 to the form j + c*s**4 + p*s + w*s**3 + z*s**2 and give z.
-5
Rearrange 20*m + 21*m - 38*m - 1961*m**3 to x*m + i*m**2 + t*m**3 + w and give x.
3
Express (29 - 33 + 14)*(2*c - 5*c + 2*c)*(-9069 - 235*c + 9069) in the form r + s*c**2 + b*c and give s.
2350
Rearrange (-202*g**2 + 909*g**2 + 5927*g**2)*(2 + 2*g - 2) to r*g + p*g**3 + v*g**2 + f and give p.
13268
Express -3714*k**3 + 9*k + 1 + 1857*k**3 - k**4 - 2*k**2 + 1858*k**3 as r*k**3 + p + m*k**4 + h*k + c*k**2 and give m.
-1
Rearrange -m**2 + 4*m + 2193*m**3 + 23*m - 2192*m**3 + 1 to q + l*m**3 + h*m**2 + u*m and give u.
27
Express j**3 - 4*j**3 + 4*j**3 + (0 - 4 + 3)*(2540*j**3 + 45786*j**3 + 533348*j - 533348*j) as c*j**3 + y*j + w*j**2 + l and give c.
-48325
Express -503*z**2 + 38 + 10 - 2*z**3 + 507*z**2 in the form u*z**3 + m*z**2 + y + t*z and give m.
4
Express 8*o**2 + 6 - 4*o + 4*o**4 - 22 - 5*o**4 - 7*o**2 as k*o + n*o**2 + p + s*o**3 + f*o**4 and give f.
-1
Express (400*a - 1475*a - 1627*a)*(3 - 2 + 1)*(-1 - 2*a + 1 + (2*a - a - 3*a)*(3 - 6 + 1)) as t*a + n + i*a**2 and give i.
-10808
Express -3*b**2 + 6*b**2 - 4*b**2 - 462 + 462 + 69*b**2 + (5*b - 4*b - 2*b)*(4*b - 2*b - 5*b) as x*b + y*b**2 + s and give y.
71
Express (3 - 3 - 2*q)*(-131 + 63 - 2148*q + 69) in the form h*q + b*q**2 + m and give b.
4296
Rearrange 76*t**3 + 3*t**2 - 30*t**3 - 39*t**3 - 8*t**3 - t - 65*t**2 - 5 to z*t**3 + l*t + j*t**2 + g and give j.
-62
Express 112*s + 113*s + 13*s**2 - 206*s - 1 + 50*s**2 + 0*s**2 in the form l + b*s + k*s**2 and give b.
19
Rearrange 7*a + 24 - 6*a + 4*a**3 - 71 + a**3 - 1 to h + j*a**3 + q*a**2 + p*a and give h.
-48
Rearrange (-x + 5*x - 2*x)*(-146 + 106 + 98*x**3 + 32*x - 35*x) to r*x**3 + u*x + j*x**2 + b + g*x**4 and give j.
-6
Express -186*o - 4 - 3*o**2 + o**3 + 360*o - 7*o**4 + 4 - 159*o in the form h*o + z*o**4 + c + q*o**3 + s*o**2 and give s.
-3
Express -317*z**3 + 317 + 315*z**3 - 77*z**2 - 157 - 159 as j*z**2 + n*z + t*z**3 + b and give b.
1
Rearrange 1 - 119*u**2 + 4*u**2 + 7*u - 1489*u**3 - 8*u + 1487*u**3 to r*u + v*u**2 + h*u**3 + n and give r.
-1
Express -40*l + 2*l**3 + 94*l + 4*l**2 - 12*l - 97*l in the form q*l + y*l**3 + p*l**2 + t and give p.
4
Rearrange -16118*o + 36679*o - 16834*o to the form w + a*o and give a.
3727
Rearrange -163 - 143 - 6*q + 328 + 2*q to the form v*q + l and give v.
-4
Express 509 - 18*b**2 + 7*b**3 - 528 + 18*b**2 as s + v*b**2 + m*b**3 + r*b and give s.
-19
Express (-5*c + 6*c - 11*c**2 + 0*c)*(74 + 21 + 3)*(-1 - 2*c + 1 + (-2 - 3 + 4)*(-4*c + 2*c + 3*c)) in the form i*c**2 + t + y*c**3 + p*c and give y.
3234
Express (h**2 - 7*h**2 + h**2)*(5*h - 841*h**2 + 843*h**2 + 2 - 38) + 0 + 0 - h**4 in the form k*h**4 + u + f*h**3 + w*h + q*h**2 and give k.
-11
Rearrange (-g + 3*g + g - 4)*(-20 + 7 - 8) + 105 - 105 + 58*g to o + p*g and give p.
-5
Rearrange (-31 + 89 - 31 - 30)*(754 - 50*g - 754) to the form t + v*g and give v.
150
Rearrange 4280*d - 8806*d - 9580*d to t*d + f and give t.
-14106
Rearrange 17801*t + 30158*t - 12774*t to the form l*t + n and give n.
0
Express -2563*g + 1 + 1249*g + 1270*g in the form o*g + a an
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-724
What is next in 26, 106, 304, 674, 1270, 2146, 3356, 4954?
6994
What is next in 68, 57, 26, -37, -144, -307, -538, -849?
-1252
What is the next term in -6, -26, -46, -66, -86?
-106
What is next in 30, 57, 84, 111, 138?
165
What is next in -14, -11, 2, 31, 82, 161, 274, 427?
626
What comes next: -354, -358, -364, -372, -382?
-394
What is the next term in -123, -241, -359, -477, -595?
-713
What is the next term in 41, 48, 51, 50, 45, 36, 23?
6
What is the next term in -3424, -6848, -10272, -13696, -17120, -20544?
-23968
What comes next: -156, -137, -130, -141, -176, -241, -342?
-485
What comes next: -74, -122, -170, -218, -266?
-314
What comes next: -385, -511, -721, -1015?
-1393
What is the next term in -9241, -9255, -9283, -9331, -9405, -9511, -9655?
-9843
What is the next term in -13, -22, -43, -82, -145, -238, -367?
-538
What comes next: -35, -76, -117, -158?
-199
What is next in -118, -87, -60, -37?
-18
What comes next: 105, 129, 153, 177, 201?
225
What is next in 599, 600, 601, 602?
603
What is the next term in 40, 137, 238, 343, 452?
565
What is next in -37, -38, -29, -4, 43?
118
What is the next term in -4884, -9768, -14652, -19536, -24420, -29304?
-34188
What is next in 175, 183, 191, 199?
207
What is next in -26, -15, 12, 61, 138, 249?
400
What comes next: -147, -359, -725, -1251, -1943, -2807?
-3849
What is the next term in 28, 45, 62, 79, 96?
113
What is the next term in 12, 20, 28, 36, 44, 52?
60
What is the next term in -27, -72, -137, -222, -327?
-452
What comes next: -2561, -2562, -2563, -2564, -2565, -2566?
-2567
What is next in 300, 587, 874, 1161, 1448, 1735?
2022
What comes next: -145, -285, -435, -601, -789, -1005, -1255, -1545?
-1881
What is next in 151, 304, 457, 610?
763
What is the next term in 97, 170, 243, 316, 389?
462
What is the next term in 17, 25, 33, 41?
49
What is the next term in -293, -304, -315, -326, -337, -348?
-359
What comes next: 38, 29, 20, 11, 2, -7?
-16
What is the next term in -652, -656, -662, -670, -680?
-692
What is next in 108, 105, 102, 99, 96, 93?
90
What is next in 16, 81, 228, 487, 888, 1461?
2236
What is next in 49, 41, 27, 7, -19, -51, -89?
-133
What comes next: 20, 48, 96, 164, 252, 360, 488?
636
What comes next: 20, 41, 62, 83, 104?
125
What is the next term in 7373, 14747, 22119, 29489, 36857?
44223
What comes next: 46, 87, 134, 193, 270?
371
What is the next term in 10, 61, 122, 193, 274, 365, 466?
577
What is the next term in 166, 176, 196, 232, 290, 376?
496
What comes next: 318, 331, 352, 381?
418
What is next in -7, -29, -57, -91, -131, -177, -229?
-287
What is the next term in -94, -380, -854, -1516, -2366, -3404, -4630?
-6044
What is the next term in -86, -241, -478, -839, -1366?
-2101
What is next in -988, -1971, -2954, -3937, -4920?
-5903
What is the next term in -29, -33, -39, -47, -57, -69?
-83
What comes next: 15229, 15223, 15215, 15205, 15193, 15179?
15163
What is the next term in 62, 45, -4, -103, -270?
-523
What is next in 129, 181, 153, 51, -119, -351?
-639
What is next in 73, 135, 189, 235, 273, 303?
325
What is the next term in 137, 134, 131, 128?
125
What comes next: 44, 185, 410, 725, 1136, 1649?
2270
What comes next: 393, 3119, 10523, 24945, 48725?
84203
What is next in -385, -386, -387, -388, -389?
-390
What comes next: -254, -1046, -2352, -4160, -6458?
-9234
What is the next term in 63, 285, 665, 1203, 1899?
2753
What is next in -50, -82, -114, -146, -178?
-210
What comes next: -40, -49, -64, -85?
-112
What comes next: 11, 40, 89, 158, 247, 356, 485?
634
What comes next: -2119, -2120, -2121, -2122, -2123?
-2124
What is the next term in -405, -406, -407, -408, -409?
-410
What is the next term in -37, -29, -29, -49, -101, -197, -349, -569?
-869
What comes next: -112, -143, -174?
-205
What comes next: -267, -608, -961, -1332, -1727?
-2152
What is the next term in -5721, -5720, -5719, -5718, -5717, -5716?
-5715
What is the next term in -16, -62, -138, -244, -380?
-546
What is the next term in -3770, -7535, -11290, -15029, -18746, -22435, -26090, -29705?
-33274
What comes next: 295, 586, 875, 1162, 1447, 1730, 2011?
2290
What is the next term in 339, 662, 973, 1266, 1535, 1774, 1977, 2138?
2251
What comes next: 102, 103, 116, 147, 202?
287
What is the next term in 697, 696, 695?
694
What comes next: 0, -10, -26, -48?
-76
What is next in -216, -431, -646, -861, -1076?
-1291
What is next in -86, -161, -278, -431, -614, -821, -1046?
-1283
What is next in -27, -97, -215, -381?
-595
What comes next: 140, 221, 192, -1, -412, -1095, -2104, -3493?
-5316
What is the next term in 26, 53, 76, 95, 110, 121, 128?
131
What is next in 72, 342, 808, 1470, 2328, 3382?
4632
What is the next term in -309, -305, -299, -291, -281, -269, -255?
-239
What comes next: 11, -4, -45, -124, -253, -444, -709?
-1060
What is next in 32, 35, 48, 77, 128, 207, 320?
473
What is next in 951, 952, 955, 960?
967
What is the next term in -216, -200, -160, -84, 40, 224?
480
What comes next: 1, 2, 3, 4?
5
What is next in -4852, -4845, -4826, -4789, -4728, -4637, -4510, -4341?
-4124
What comes next: -1080, -1082, -1082, -1080, -1076?
-1070
What comes next: -9, -13, -9, 9, 47, 111, 207?
341
What is the next term in 737, 746, 769, 812, 881, 982?
1121
What is the next term in -10, 1, 10, 17, 22, 25, 26?
25
What comes next: 96, 46, -4, -54, -104, -154?
-204
What is the next term in -226, -240, -264, -304, -366, -456?
-580
What is the next term in 1398, 1404, 1424, 1464, 1530, 1628, 1764?
1944
What is the next term in -20, -25, -30, -35, -40, -45?
-50
What is the next term in -36, -39, -42, -45?
-48
What comes next: -27, -50, -75, -108, -155, -222, -315, -440?
-603
What is the next term in -852, -845, -826, -789, -728, -637, -510?
-341
What is next in -4, -15, -50, -121, -240, -419?
-670
What is next in -309, -314, -315, -312, -305, -294, -279?
-260
What comes next: -11, -12, -11, -8, -3, 4?
13
What is the next term in 172, 1556, 5306, 12604, 24632, 42572, 67606?
100916
What comes next: -17, -9, 11, 43, 87, 143?
211
What is the next term in 839, 837, 835, 833, 831?
829
What is next in 11, 2, -11, -28?
-49
What is the next term in -154, -152, -150, -148, -146?
-144
What is the next term in 154, 157, 158, 157, 154, 149?
142
What comes next: -1, -15, -17, 11, 87, 229, 455?
783
What comes next: -118, 60, 224, 368, 486, 572?
620
What is next in -37, -66, -97, -130, -165?
-202
What comes next: 1013, 2022, 3027, 4028, 5025, 6018?
7007
What comes next: 23, 30, 49, 86, 147?
238
What is next in -32, -141, -318, -557, -852, -1197, -1586, -2013?
-2472
What comes next: -184, -189, -194, -199?
-204
What is next in 28, 30, 44, 76, 132, 218?
340
What is next in 5919, 11843, 17767?
23691
What is the next term in 200, 400, 602, 806, 1012?
1220
What is the next term in -16, -30, -48, -70, -96, -126, -160?
-198
What is the next term in 112, 263, 424, 601, 800?
1027
What comes next: -1, 6, 11, 14, 15, 14?
11
What is next in 50, 198, 444, 788, 1230, 1770, 2408?
3144
What is the next term in 37, 6, -45, -116, -207, -318, -449?
-600
What is next in -26, -41, -56, -71, -86, -101?
-116
What is the next term in -17, -11, 3, 25, 55, 93, 139?
193
What comes next: -490, -973, -1456?
-1939
What comes next: -3, 26, 55, 84, 113?
142
What is next in -71, -157, -243, -329, -415, -501?
-587
What comes next: 931, 930, 927, 922, 915, 906?
895
What is next in -529, -524, -533, -562, -617?
-704
What comes next: -1534, -1536, -1538, -1540, -1542?
-1544
What is next in 255, 535, 817, 1101?
1387
What is next in -37, -43, -49, -55?
-61
What is next in 4, 24, 56, 100, 156, 224?
304
What is next in -1392, -1394, -1396?
-1398
What comes next: -17, -51, -87, -119, -141?
-147
What is next in -454, -472, -490, -508?
-526
What is the next term in -7, 2, 31, 92, 197, 358, 587?
896
What is next in 0, 10, 22, 36, 52, 70?
90
What comes next: -14284, -14283, -14282?
-14281
What is the next term in 355, 352, 349, 346, 343?
340
What comes next: 80, 175, 270, 365, 460?
555
What is the next term in -54, -68, -92, -126, -170, -224, -288?
-362
What is next in 38, 72, 106, 140, 174, 208?
242
What is the next term in -2, 1, 14, 43, 94, 173, 286, 439?
638
What comes next: 103, 208, 327, 466, 631?
828
What is next in 139, 138, 137?
136
What is the next term in -38, -13
|
{
"pile_set_name": "DM Mathematics"
}
|
rest to 0? (a) 0.2 (b) 0.3 (c) 1/4 (d) 9
a
Which is the closest to 0? (a) -1/4 (b) 5 (c) 0.534 (d) -6
a
What is the closest to 8 in -0.7, -5, -2/7?
-2/7
Which is the closest to -0.6? (a) -3 (b) -0.6 (c) 0.3
b
What is the nearest to 1 in 22, -3, 3, -0.5?
-0.5
Which is the closest to -2/7? (a) -2/13 (b) 79 (c) -0.3
c
What is the nearest to -0.7 in -4, 1, -0.4, 6?
-0.4
Which is the nearest to -0.1? (a) -0.1 (b) 0.4 (c) -9 (d) -1/4
a
Which is the nearest to 2? (a) -2 (b) -0.4 (c) 2/5 (d) -2/11
c
What is the nearest to -0.1 in -1/54, -4/7, -3, 5?
-1/54
What is the nearest to -0.1 in 399, -2, 1, 5?
1
What is the nearest to -2 in -3, 13/3, 3/4, 0.3?
-3
What is the closest to 4/5 in -5/6, 3, 0.1, 4?
0.1
Which is the closest to 8? (a) -4 (b) -0.5 (c) 0.1 (d) 2
d
What is the closest to 4 in -0.4, 2/7, 5, -1108?
5
Which is the nearest to 0? (a) -0.2 (b) 3 (c) 0.13 (d) -2/9
c
What is the closest to -1/4 in 11, -5, 14, -1/6?
-1/6
What is the closest to 5 in 1/3, 2/15, -28?
1/3
Which is the nearest to 1/2? (a) -5 (b) -0.57 (c) 1/9
c
What is the nearest to -0.5 in -2, -22/9, -2/9, 0?
-2/9
What is the closest to -2 in 1.8, -4/9, -0.4, 5?
-4/9
Which is the closest to -0.1? (a) 2 (b) 39.7 (c) -3
a
What is the nearest to 0.2 in -2, 1/9, 2, 9?
1/9
What is the nearest to -0.1 in -5, -0.4, 2/11, -0.1?
-0.1
What is the nearest to 0 in -1, 2/13, -0.5?
2/13
Which is the nearest to -8/9? (a) 1 (b) -5 (c) -4/5 (d) 0.5
c
What is the closest to 0.01 in -2/7, -2.6, -4/5?
-2/7
Which is the nearest to 0? (a) -0.4 (b) 1/3 (c) 5 (d) -8
b
What is the closest to -17 in -0.1, -2, -0.6, 2?
-2
What is the nearest to -1/6 in -1, 2, -3, 3?
-1
Which is the closest to 3? (a) -4 (b) -1 (c) -2/5 (d) -5
c
What is the closest to -186 in 0.2, -3, 0, 3?
-3
Which is the nearest to 1? (a) 3 (b) 5 (c) 1/4
c
What is the nearest to 2 in -2/9, 0, 1.8, -70?
1.8
Which is the nearest to -1? (a) -3/2 (b) 137.5 (c) 1/2
a
What is the closest to -187 in -0.4, 0.2, -0.1, -2/9?
-0.4
Which is the closest to -0.1? (a) -1 (b) 37 (c) 2 (d) -0.18
d
What is the closest to 3 in 0.1, -1/2, -2/5?
0.1
What is the nearest to 18 in 3/2, -2, -38?
3/2
What is the closest to 14 in -0.3, 1/4, -0.1?
1/4
What is the closest to -2 in 1/4, -308, 0.4, 0.5?
1/4
What is the nearest to -17 in 3/2, 20, -1/3?
-1/3
What is the closest to 2/5 in 136, 4, -0.4?
-0.4
Which is the closest to 2/7? (a) 0.1 (b) -1 (c) -1.6
a
Which is the closest to 0.04? (a) -5/6 (b) 18 (c) -5
a
What is the nearest to 0.2 in -15, 2, -3?
2
What is the closest to 0.1 in 2/5, 14, -0.3?
2/5
Which is the closest to -1/2? (a) 17 (b) 3 (c) 6
b
What is the closest to 0.1 in 2/7, 0.5, 10?
2/7
Which is the closest to 0.1? (a) 3 (b) -5 (c) -1 (d) -0.6
d
Which is the nearest to -0.1? (a) 0.5 (b) -3 (c) -5 (d) -2/5
d
Which is the closest to 0? (a) -0.3 (b) 0.4 (c) -89 (d) -1/2
a
What is the nearest to -6 in -4, -25, -1, 5?
-4
Which is the closest to -0.01? (a) 1 (b) -1 (c) 4
b
Which is the closest to -0.1? (a) 0 (b) -1 (c) 30.3
a
What is the nearest to 2/7 in -65, 2/13, -5?
2/13
What is the closest to -0.1 in -2, 76, -5?
-2
What is the closest to 49 in -1, -3, 1, 3?
3
What is the nearest to 1 in 4, -85, -5?
4
Which is the closest to 6? (a) -2/7 (b) -0.3 (c) -1/4 (d) -4/7
c
What is the nearest to 12 in -5, -6/11, -0.4?
-0.4
Which is the closest to -0.2? (a) 1.24 (b) 1 (c) -0.3 (d) 0.4
c
What is the closest to -0.3 in 91, 0.4, 3?
0.4
What is the nearest to 3/4 in -1, 2/3, 2, 18?
2/3
What is the nearest to 2/17 in 0, 2, 7, 5?
0
Which is the closest to 1? (a) 2 (b) -0.2 (c) 0.09 (d) -0.1
c
What is the nearest to -0.5 in -0.2, 5, -3, 1?
-0.2
What is the nearest to 6 in 5, -3, 6/5?
5
What is the closest to 1 in 7, 5, -0.05, 3?
-0.05
What is the nearest to -1 in -0.4, 0.5, -0.07, 700?
-0.4
Which is the closest to -0.1? (a) -0.4 (b) 0.16 (c) 1 (d) -4
b
What is the nearest to -1 in -5, 0.06, -62?
0.06
What is the nearest to 1 in -5, 31, 1/9, 3?
1/9
Which is the nearest to 0? (a) 7 (b) 0 (c) -0.4
b
What is the closest to 2 in 0.4, -2/7, -2/17?
0.4
Which is the nearest to -3? (a) -3/2 (b) 1/2 (c) -0.1 (d) -0.3
a
What is the nearest to -4/5 in 1, -1, -56?
-1
What is the nearest to 3 in 4, 1/2, -2/5, 1?
4
Which is the nearest to -1? (a) 2 (b) 6 (c) -24.8
a
Which is the nearest to 0? (a) 3/5 (b) 0.5 (c) -1/5 (d) -1
c
What is the nearest to -0.1 in -41.4, 2/3, 0.2, -1?
0.2
Which is the closest to -2/3? (a) 2/3 (b) 1/18 (c) 0.2
b
What is the nearest to -1 in -5, -8, 1/2?
1/2
What is the closest to 0 in 2/15, 108, 3?
2/15
Which is the nearest to -0.3? (a) -0.4 (b) 2 (c) 0 (d) 27
a
Which is the nearest to -2/3? (a) -1 (b) -55 (c) 2/5 (d) 2
a
What is the closest to -1 in 5, -2/7, -1, -3/4?
-1
What is the closest to 41 in -2, 0, 1, 4?
4
Which is the closest to 0.1? (a) 0.21 (b) -5 (c) 0.07 (d) -3
c
Which is the closest to -6? (a) -3 (b) 0 (c) 1/2
a
What is the nearest to -5/8 in -5, -2/11, 2/7?
-2/11
What is the nearest to 57 in -0.1, -0.4, -0.13?
-0.1
What is the nearest to -1/3 in -4, 0.23, -2/9, -1/10?
-2/9
Which is the closest to -9? (a) 0.3 (b) 0.01 (c) -5
c
Which is the closest to 2/3? (a) 0 (b) 2/21 (c) -3 (d) 1/5
d
What is the nearest to 4 in 43/7, -0.4, 3, 4?
4
What is the nearest to -3 in -3, -2, -20, 2/7?
-3
What is the nearest to 1/2 in 5, -3/5, -2/6599?
-2/6599
Which is the closest to 1? (a) 0 (b) -2 (c) 8 (d) -3
a
What is the closest to -0.2 in -2/15, 10, 2/3?
-2/15
What is the closest to 12 in 12, 3, 0.1?
12
Which is the nearest to 0? (a) 0.4 (b) -9 (c) -1/5 (d) 0
d
What is the nearest to 4 in 1/150, 2, -0.3?
2
What is the nearest to 0.1 in 4, 60, 2/9?
2/9
Which is the nearest to -25? (a) -0.1 (b) -2/5 (c) 18
b
What is the closest to 1/3 in 0.4, 3/8, -7?
3/8
Which is the closest to -52? (a) 1/5 (b) -3 (c) -3.7
c
Which is the nearest to 9? (a) -1/5 (b) -0.1 (c) 4 (d) -3/2
c
Which is the closest to 2? (a) -2/7 (b) 1/13 (c) -1/579
b
What is the closest to -3 in 0.4, -3/7, -0.3, -1/3?
-3/7
What is the nearest to 0.04 in 3/4, -3.8, 0?
0
What is the nearest to 2 in -0.3, -0.6, -4, 3/5?
3/5
Which is the closest to 1/2? (a) -17/2 (b) 11 (c) -3
c
Which is the nearest to -2/7? (a) -1/3 (b) 0.04 (c) -0.003
a
Which is the nearest to 2? (a) -11 (b) -1/8 (c) 72
b
Which is the closest to 0? (a) 2/9 (b) -4 (c) -0.3 (d) 58
a
What is the nearest to -45 in 2/7, -2, 0.4?
-2
Which is the nearest to -4? (a) -7 (b) 3 (c) 0.5 (d) 0
a
Which is the closest to 19? (a) -1/6 (b) -3/2 (c) -5
a
What is the nearest to 1 in -3/5, -0.05, -14?
-0.05
Which is the closest to -2/9? (a) -0.15 (b) -0.02 (c) -3 (d) -3/4
a
What is the nearest to 0 in 0.5, 0, 5/9?
0
Which is the closest to -24/37? (a) 0.5 (b) -1/6 (c) 0.3 (d) -0.2
d
What is the nearest to -0.1 in 0.4, -3, -25, -2?
0.4
What is the nearest to 2 in 1/3, 0.2, -5, -3?
1/3
What is the nearest to 3.3 in 0.4, 0, 5, -21?
5
Which is the nearest to 16? (a) 10 (b) -4 (c) 3 (d) 0
a
Which is the closest to 131? (a) 2 (b) 2/3 (c) 1/4
a
Which is the nearest to 13.2? (a) 5 (b) 4 (c) 0
a
What is the closest to -5 in 1, 0, -1/3, 0.3?
-1/3
Which is the closest to 9? (a) 3/7 (b) 4 (c) -0.2 (d) -3/4
b
Which is the closest to 2? (a) 0.2 (b) 3 (c) 0.3 (d) -11
b
What is the closest to 3 in 4/3, -9, 4, 0.2?
4
Which is the nearest to 1/6? (a) -6/125 (b) 0.5 (c) -1/3 (d) 3/2
a
What is the closest to -4/5 in 0.1, 1.3, 3/2, 2?
0.1
What is the nearest to 1 in 3, 0.5, -3/2?
0.5
Which is the closest to -1? (a) 0.4 (b) -4/7 (c) -1/4 (d) -0.072
b
What is the nearest to -1 in -1.6, -9, 2/5, -0.1?
-1.6
What is the closest to 1/3 in 4, 0.3, 2/9, -5?
0.3
What is the closest to -101 in -3, -0.3, -3/5, -1/6?
-3
What is the nearest to 4 in -5, -1/27, 18?
-1/27
What is the nearest to -1 in -3/2, -6/5, -0.06, -3?
-6/5
Which is the nearest to 4? (a) 2 (b) 0.4 (c) 31
a
What is the nearest to 0 in 15/7, 0, 13?
0
Which is the closest to -2/7? (a) 1/7 (b) 0.07 (c) 5 (d) -2/5
d
What is the nearest to -0.12 in 0.2, 2/7, -2/3, 5?
0.2
Which is the closest to -5/6? (a) 32 (b) 1 (c) -10
b
Which is the nearest to -1? (a) -4 (b) 0.61 (c) 7
b
What is the closest to 2 in -403, -5
|
{
"pile_set_name": "DM Mathematics"
}
|
1/21
Three letters picked without replacement from rzrrrzzrzz. What is prob of sequence rrz?
5/36
Calculate prob of sequence brm when three letters picked without replacement from {b: 3, r: 6, e: 1, m: 4}.
3/91
What is prob of sequence mm when two letters picked without replacement from {o: 1, m: 6, b: 7}?
15/91
Two letters picked without replacement from {x: 1, y: 1, o: 4, j: 1, e: 1}. Give prob of sequence ej.
1/56
Calculate prob of sequence xfxx when four letters picked without replacement from xfxxxxxxfxxxxfxx.
33/280
Calculate prob of sequence jj when two letters picked without replacement from {b: 5, g: 1, d: 5, m: 3, j: 2, o: 4}.
1/190
What is prob of sequence iue when three letters picked without replacement from gitikugekeekkie?
2/455
Three letters picked without replacement from dlamr. What is prob of sequence mdl?
1/60
What is prob of sequence uzc when three letters picked without replacement from chkzdhu?
1/210
Calculate prob of sequence paa when three letters picked without replacement from {p: 1, a: 3}.
1/4
Three letters picked without replacement from xixxzxixzxisslxqziz. Give prob of sequence lxq.
7/5814
Calculate prob of sequence pdd when three letters picked without replacement from {d: 7, p: 4, u: 3, z: 5}.
28/969
What is prob of sequence xtlx when four letters picked without replacement from txtxtollixx?
1/110
Calculate prob of sequence oe when two letters picked without replacement from obbebeobbbbbbb.
2/91
What is prob of sequence rrrr when four letters picked without replacement from rrrrr?
1
Calculate prob of sequence ww when two letters picked without replacement from ggwgwgwggggggwgw.
1/12
What is prob of sequence usx when three letters picked without replacement from xsuu?
1/12
Two letters picked without replacement from {t: 9, d: 11}. What is prob of sequence dt?
99/380
Three letters picked without replacement from {h: 1, l: 3}. What is prob of sequence lll?
1/4
Four letters picked without replacement from {e: 2, b: 1, f: 4, o: 1}. Give prob of sequence offf.
1/70
What is prob of sequence ww when two letters picked without replacement from cccwcwwwcclcc?
1/13
Calculate prob of sequence drdw when four letters picked without replacement from {d: 2, r: 1, w: 1, v: 1}.
1/60
Two letters picked without replacement from {q: 1, i: 12, w: 1, j: 1}. Give prob of sequence qw.
1/210
Calculate prob of sequence llss when four letters picked without replacement from {s: 4, l: 2, n: 1}.
1/35
Calculate prob of sequence dddd when four letters picked without replacement from {d: 10}.
1
Calculate prob of sequence nnnt when four letters picked without replacement from {n: 5, h: 6, a: 1, c: 6, t: 1}.
5/7752
Calculate prob of sequence rqr when three letters picked without replacement from rqrrrqrrrrrrrrrqrr.
35/272
Four letters picked without replacement from ttmizzcicimikz. Give prob of sequence ttic.
2/3003
Four letters picked without replacement from fhhxhxeh. What is prob of sequence xxfe?
1/840
Calculate prob of sequence inbn when four letters picked without replacement from {n: 4, i: 2, b: 1, m: 2}.
1/126
What is prob of sequence qxfx when four letters picked without replacement from ffqxqxffxfxxxqf?
3/182
What is prob of sequence pj when two letters picked without replacement from jjsspjs?
1/14
Four letters picked without replacement from {q: 6, m: 3, f: 4, k: 2}. Give prob of sequence kqmk.
1/910
Calculate prob of sequence or when two letters picked without replacement from {r: 7, o: 9}.
21/80
Calculate prob of sequence jvc when three letters picked without replacement from uhhhvjjhhhhcjjhhvj.
5/2448
What is prob of sequence uueu when four letters picked without replacement from {p: 6, a: 6, e: 3, u: 4}?
1/1292
Calculate prob of sequence zzzs when four letters picked without replacement from {s: 4, z: 6}.
2/21
Calculate prob of sequence kcul when four letters picked without replacement from {k: 2, u: 1, l: 2, c: 3, s: 6}.
1/2002
What is prob of sequence dx when two letters picked without replacement from {d: 9, i: 3, x: 4}?
3/20
Two letters picked without replacement from {w: 5, i: 3, k: 2, l: 2, h: 1, a: 6}. Give prob of sequence il.
1/57
What is prob of sequence mqq when three letters picked without replacement from {f: 4, u: 2, m: 1, q: 2, n: 1, z: 2}?
1/660
Calculate prob of sequence dx when two letters picked without replacement from xixdridxiinxdrnid.
1/17
What is prob of sequence hl when two letters picked without replacement from {c: 4, h: 8, l: 8}?
16/95
Three letters picked without replacement from {f: 3, b: 2}. Give prob of sequence ffb.
1/5
What is prob of sequence xx when two letters picked without replacement from vtzvzyqyzzyxvzxvvvxt?
3/190
Calculate prob of sequence oa when two letters picked without replacement from kmlmmmmktmakkmmom.
1/272
Four letters picked without replacement from {l: 5, m: 1, q: 1, o: 4, a: 3}. Give prob of sequence olqo.
5/2002
Calculate prob of sequence iyy when three letters picked without replacement from {y: 4, i: 3}.
6/35
Two letters picked without replacement from {s: 6, g: 1, r: 2, o: 2}. Give prob of sequence rs.
6/55
What is prob of sequence tf when two letters picked without replacement from {f: 4, t: 5, h: 1, y: 4, j: 2}?
1/12
Two letters picked without replacement from qjdjjggdddqdqgdqddvq. Give prob of sequence jg.
9/380
Calculate prob of sequence gv when two letters picked without replacement from vvgssfvvvgvv.
7/66
What is prob of sequence mxx when three letters picked without replacement from mmmmxmmmmxmmmmmmmmm?
1/171
Three letters picked without replacement from lglgeplegl. Give prob of sequence lee.
1/90
What is prob of sequence jj when two letters picked without replacement from wywwyijyiyjywwjz?
1/40
Calculate prob of sequence qqnv when four letters picked without replacement from {v: 4, s: 6, n: 1, q: 2}.
1/2145
Two letters picked without replacement from {t: 4, a: 5, u: 10}. Give prob of sequence ta.
10/171
Three letters picked without replacement from zkmjzkzaajjzmzkzk. Give prob of sequence amj.
1/340
Three letters picked without replacement from {y: 8, a: 3, v: 6}. Give prob of sequence aay.
1/85
What is prob of sequence cff when three letters picked without replacement from {n: 3, c: 1, o: 1, s: 8, i: 3, f: 3}?
1/969
Four letters picked without replacement from {t: 3, o: 3, c: 2}. What is prob of sequence otot?
3/140
Three letters picked without replacement from {g: 1, k: 2, s: 1, c: 4}. What is prob of sequence cgk?
1/42
Calculate prob of sequence tw when two letters picked without replacement from {w: 1, t: 3}.
1/4
Four letters picked without replacement from jnjqngjnjqjnjjj. What is prob of sequence jnqj?
8/585
What is prob of sequence hyyh when four letters picked without replacement from mmhhmhyh?
0
Calculate prob of sequence jb when two letters picked without replacement from bbbbrbbbbjbbjb.
11/91
Calculate prob of sequence roj when three letters picked without replacement from ojoooooorj.
7/360
Four letters picked without replacement from {v: 18, c: 1}. What is prob of sequence ccvc?
0
What is prob of sequence brr when three letters picked without replacement from rrbrbrr?
4/21
Three letters picked without replacement from {j: 3, d: 2, u: 10}. Give prob of sequence djd.
1/455
Two letters picked without replacement from {p: 9, n: 4, d: 2, i: 1}. What is prob of sequence ni?
1/60
Four letters picked without replacement from uuuyyuyyuuuyyyyyuu. Give prob of sequence yyyu.
21/340
Calculate prob of sequence yyy when three letters picked without replacement from yddddddddydddydyddd.
4/969
Three letters picked without replacement from {e: 6, v: 2, c: 3, i: 1, g: 2}. Give prob of sequence gvg.
1/546
Two letters picked without replacement from attaaxxxxxxtatxxtxtx. Give prob of sequence tx.
3/19
What is prob of sequence ddii when four letters picked without replacement from {d: 3, i: 2}?
1/10
Three letters picked without replacement from {v: 1, j: 1, p: 1, y: 1, a: 2, d: 1}. What is prob of sequence pav?
1/105
What is prob of sequence rg when two letters picked without replacement from grggkkrrkkrk?
1/11
Calculate prob of sequence mht when three letters picked without replacement from {h: 5, t: 1, m: 4}.
1/36
Calculate prob of sequence vvw when three letters pi
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0. What is y?
-1, 0, 1
Let b(m) be the third derivative of -1/84*m**4 - 10*m**2 + 1/105*m**5 + 0*m - 1/1470*m**7 + 0 + 1/420*m**6 - 1/14*m**3. Find a, given that b(a) = 0.
-1, 1, 3
Factor 0 + 21/2*y**3 + 9/8*y - 57/8*y**2.
3*y*(4*y - 1)*(7*y - 3)/8
Let k(p) be the first derivative of -p**6/6 - p**5/5 + p**4/4 + p**3/3 + 848. Factor k(z).
-z**2*(z - 1)*(z + 1)**2
Let n = -1762 + 1769. Let c(a) be the first derivative of 3*a**3 - 3/2*a**2 - 6*a + 3/4*a**4 - 3/5*a**5 - n. What is t in c(t) = 0?
-1, 1, 2
Let b(m) = m + 12. Let s = -30 + 21. Let t be b(s). Solve 0*d**2 - 2*d - 2*d**3 + 3 - 3*d**2 + 5*d - d**t = 0.
-1, 1
Let f(k) be the second derivative of -2*k**6/3 - 42*k**5/5 + 29*k**4/3 + 12*k**3 + 3*k + 1. Find c such that f(c) = 0.
-9, -2/5, 0, 1
Let p(m) be the first derivative of 13*m**4 + 12 + 28/5*m**5 + 16*m**3 + m**6 + 11*m**2 + 4*m. Factor p(z).
2*(z + 1)**4*(3*z + 2)
Let h = -29 - -109. Factor -7*s**2 + 17*s**2 + 29*s**3 + 35*s**5 + 31*s**3 + h*s**4 - 5*s**3.
5*s**2*(s + 1)**2*(7*s + 2)
Let t(o) = 14*o**4 + 118*o**3 + 90*o**2 - 162*o - 148. Let u(r) = 2*r**4 + 17*r**3 + 13*r**2 - 23*r - 21. Let b(a) = -6*t(a) + 44*u(a). Factor b(m).
4*(m - 1)*(m + 1)**2*(m + 9)
Find h such that 1936/3 - 28*h**2 - 264*h - 2/3*h**3 = 0.
-22, 2
What is j in -40 + 2*j**3 + 0*j + 16*j + 18*j**2 - 29*j - 11*j = 0?
-10, -1, 2
Let l(v) = 5*v**2 - 73*v + 3. Let z(f) = -10*f**2 + 145*f - 5. Let h(o) = 5*l(o) + 3*z(o). Determine n, given that h(n) = 0.
0, 14
Let 8*k**2 + 2*k**2 + 484 - 6*k**2 - 88*k = 0. What is k?
11
Let z(o) be the third derivative of o**7/5880 - o**6/2520 - o**5/140 - o**3/2 + 22*o**2. Let g(s) be the first derivative of z(s). Determine w so that g(w) = 0.
-2, 0, 3
Let x = -3/394 + 2385/2758. Let b = x - 4/21. Determine t, given that -2/3*t**3 + 2/3 + 2/3*t - b*t**2 = 0.
-1, 1
Let k(a) = -4*a + 408. Let f be k(102). Suppose 2/7*s**2 + f - 16/7*s = 0. Calculate s.
0, 8
Let v(d) be the first derivative of 4*d**3 - 8*d**2 + 4*d - 188. Factor v(c).
4*(c - 1)*(3*c - 1)
Let u(w) = -w**3 - w**2 - 2*w + 11. Let n be u(0). Let j(a) = a - 9. Let b be j(n). Factor -3 + 0*y - b*y**2 + 5*y**2 - 2*y**2 + 2*y.
(y - 1)*(y + 3)
Let u(r) be the first derivative of -11*r**3/18 - 7*r**2/2 + 4*r/3 + 67. Factor u(k).
-(k + 4)*(11*k - 2)/6
Let u = 754 - 750. Let c(q) be the third derivative of -2*q**2 + 0*q + 1/3*q**u - 13/90*q**5 - 1/315*q**7 - 4/9*q**3 + 1/30*q**6 + 0. Factor c(z).
-2*(z - 2)**2*(z - 1)**2/3
Suppose 3*v = 3*i - 12, 34*i = 5*v + 31*i + 12. Let b(a) be the second derivative of -a + 0*a**2 + 1/120*a**5 + 0 - 1/72*a**4 + v*a**3. Factor b(q).
q**2*(q - 1)/6
Let a(l) be the second derivative of -l + 14/27*l**3 - 2/45*l**5 + 0 + 1/3*l**2 + 7/54*l**4. Solve a(y) = 0 for y.
-1, -1/4, 3
Suppose 4*m - u = 28, -6*u - 24 = -4*m - 4*u. Suppose 9*f = m*f + 3. Factor 1/2*c - 3/4*c**2 + 1/4*c**f + 0.
c*(c - 2)*(c - 1)/4
Factor 1/7*q**2 - 17/7*q - 60/7.
(q - 20)*(q + 3)/7
Let p(m) be the second derivative of -2/15*m**6 - 23/3*m**4 + 0 - 8/5*m**5 - 24*m**2 - 15*m - 56/3*m**3. Suppose p(d) = 0. Calculate d.
-3, -2, -1
Factor -11/2*d + 0 - 1/4*d**2.
-d*(d + 22)/4
Suppose 7 = 5*b + 3*n - 4*n, 0 = -3*b + 3*n - 3. Suppose -24 + 6*g + 3*g**2 - 2*g**2 + 3*g**b - g**2 = 0. Calculate g.
-4, 2
Find q such that -33/7*q**3 + 9/7*q**2 + 6/7*q**4 + 33/7*q - 15/7 = 0.
-1, 1/2, 1, 5
Let g(h) = -38*h + 16. Let t be g(3). Let o be 4 + -1 + t/28 - -1. Factor o*y**2 - 1/2 - 1/2*y + 1/2*y**3.
(y - 1)*(y + 1)**2/2
Suppose -i = 47 - 46. Let s = 1 + i. Factor s - 2/5*m - 1/5*m**3 - 3/5*m**2.
-m*(m + 1)*(m + 2)/5
Let l(w) = 40*w**4 - 35*w**3 - 5*w - 10. Let z(r) = -r**5 - 40*r**4 + 35*r**3 + 6*r + 12. Let q(m) = -6*l(m) - 5*z(m). Factor q(v).
5*v**3*(v - 7)*(v - 1)
Let m = -10982/3 - -3686. Solve -92/3*b**2 + 20/3*b - 16/3*b**4 + 4 + m*b**3 = 0.
-1/4, 1, 3
Let u(h) be the third derivative of h**9/1512 - h**7/420 - h**3/2 - 2*h**2. Let o(k) be the first derivative of u(k). Factor o(i).
2*i**3*(i - 1)*(i + 1)
Let a = 9 - 3. Factor 28*z**2 + 4*z**3 - 10*z**2 + 48*z + a*z**2 + 32.
4*(z + 2)**3
Factor 5*m**3 + 0*m**3 + 367*m**2 - 342*m**2.
5*m**2*(m + 5)
Let g(w) be the second derivative of 0 - 1/5*w**5 + 0*w**2 + 0*w**3 + 1/6*w**4 + 20*w + 1/15*w**6. Suppose g(a) = 0. Calculate a.
0, 1
Let n be 9/(18/20) - 200/35. Factor -n*p**2 + 6/7*p**3 - 24/7 + 48/7*p.
6*(p - 2)**2*(p - 1)/7
Let b(v) be the second derivative of -v**6/225 + 9*v**5/50 + v**4/3 - 56*v**3/45 - 2*v - 3. Find j, given that b(j) = 0.
-2, 0, 1, 28
Factor -24*d**3 - 4*d - 432 + 8*d**2 - 3*d**4 + 19*d**2 - 3*d**2 + 292*d.
-3*(d - 2)**2*(d + 6)**2
Let f = -107 - -107. Let r(u) be the first derivative of 1/9*u**3 - 1/15*u**5 + 0*u - 6 + f*u**2 + 0*u**4. Solve r(o) = 0 for o.
-1, 0, 1
Let c(d) be the first derivative of 1/9*d - 1/36*d**4 + 1/9*d**3 - 13 - 1/6*d**2. Solve c(r) = 0.
1
Let p(v) = v**2 + 23*v - 32. Let j be p(-24). Let f be j*(2/(-16))/(11/22). Factor 0 + 0*k + 1/2*k**4 + 0*k**3 - 1/2*k**f.
k**2*(k - 1)*(k + 1)/2
Let f(a) = -2*a**2 + 31*a - 11. Let c be f(15). Let t(g) be the second derivative of 0*g**2 + 1/72*g**c + 0*g**3 + 0 - 5*g. Factor t(s).
s**2/6
Suppose -s + 17 = 5*g, -2*g + 4*s + 130 = 110. Factor 0*t**2 + 2/5*t**3 - 2/5*t**g + 0*t + 0.
-2*t**3*(t - 1)/5
Let y = -36/115 - -223/345. Factor -y*u**2 - 4/3 - 4/3*u.
-(u + 2)**2/3
Let n(y) be the first derivative of 7/5*y**2 + 24 - 2/5*y**4 + 2/3*y**3 - 4/5*y. Solve n(z) = 0 for z.
-1, 1/4, 2
Factor -5*m**3 - 7*m**4 + 4*m**4 + 13*m**2 + 2*m**4 - 7*m.
-m*(m - 1)**2*(m + 7)
Factor -s + s**2 - 6*s**2 + s - 2*s.
-s*(5*s + 2)
Let c = -21/16 + 65/48. Let i(y) be the second derivative of 0 - c*y**4 - 5*y + 0*y**2 + 0*y**3. Solve i(t) = 0.
0
Factor 19*f - 209*f**3 + 205*f**3 + 4*f**2 + f + 4*f.
-4*f*(f - 3)*(f + 2)
Let v = -3670 - -3672. Determine z so that z**v + 0 - 4/5*z**3 + 1/5*z**4 - 2/5*z = 0.
0, 1, 2
Let z(s) be the second derivative of s**6/6 - 13*s**5/2 + 175*s**4/3 + 980*s**3/3 - 5*s - 7. What is q in z(q) = 0?
-2, 0, 14
Factor -4*n**2 + 4*n**3 - 4*n - 9 + 26 - 13.
4*(n - 1)**2*(n + 1)
Let i(m) be the second derivative of 2*m**7/147 + 4*m**6/105 - 27*m**5/35 - 8*m**4/3 + 160*m**3/21 + 70*m - 2. Let i(x) = 0. What is x?
-4, 0, 1, 5
Let m = -12 - -21. Suppose 5*a**2 + 1 - 5 - 10*a + m = 0. Calculate a.
1
Factor 2*c**3 - 8/5 + 26/5*c**2 + 8/5*c.
2*(c + 1)*(c + 2)*(5*c - 2)/5
Let z = 79 - 77. Find n such that -30 - n**2 - 26*n - 4*n**z - 9*n = 0.
-6, -1
Find z such that -2*z**2 - 2420 - 5*z**2 + 143*z + 2*z**2 + 77*z = 0.
22
Let z(u) be the first derivative of 1 + 0*u**2 + 0*u - 1/32*u**4 - 2*u**3 - 1/240*u**5 + 1/1440*u**6. Let j(r) be the third derivative of z(r). Factor j(g).
(g - 3)*(g + 1)/4
Factor -s - 22*s**3 + 21*s**4 - 19*s**4 + 25*s**3.
s*(s + 1)**2*(2*s - 1)
Let q(v) be the second derivative of v**4/28 + 23*v**3/14 + 33*v**2/7 + 46*v. Determine t, given that q(t) = 0.
-22, -1
Determine k so that -2/13*k**3 - 4*k**2 + 784/13 - 280/13*k = 0.
-14, 2
Let m(l) be the first derivative of 13 - 3/5*l**5 + 0*l + 0*l**4 + 0*l**2 + l**3. Factor m(b).
-3*b**2*(b - 1)*(b + 1)
Suppose -3*z = -8 - 4. Suppose -2*v - 10 = -z*v. Factor -i**4 - v + 1 + 3*i**3 + 6 - 3*i - i**2.
-(i - 2)*(i - 1)**2*(i + 1)
Let d(l) be the third derivative of 0*l**3 - 11/100*l**6 - 1/560*l**8 + 0*l + 4/175*l**7 + 0 - 33*l**2 + 6/25*l**5 - 9/40*l**4. Factor d(p).
-3*p*(p - 3)**2*(p - 1)**2/5
Let r be (220/1386)/(1030/1032 - 1). Let t = r + 247/3. Factor 9/7*p**2 - t*p + 0 - 6/7*p**3.
-3*p*(p - 1)*(2*p - 1)/7
Let q(k) = 6*k**2 + 184*k - 341. Let n(x) = 2*x**2 + 62*x - 114. Let j(r) = 17*n(r) - 6*q(r). Factor j(d).
-2*(d - 2)*(d + 27)
Let a(g) be the third derivative of -121*g**8/336 - 11*g**7/7 - 313*g**6/120 - 2*g**5 - 2*g**4/3 + g**2. Factor a(y).
-y*(y + 1)**2*(11*y + 4)**2
Let -245*x + 769 - 75*x**3 - 388*x - 432 - 400 - 1605*x**2 = 0. Calculate x.
-21, -1/5
Let m(l) be the first derivative of l**5/48 - l**4/32 - l**3/12 + 5*l**2/2 - 7. Let r(h) be the second derivative of m(h). Factor r(s).
(s - 1)*(5*s + 2)/4
Let c = 259 + -97. Let r = 1136/7 - c. Factor -4/7*h + 0 - 10/7*h**2 - r*h**4 - 8/7*h**3.
-2*h*(h + 1)**2*(h + 2)/7
Suppose -164/11*b**2 + 10/11*b**4 - 48/11*b - 106/11*b**3 + 0 = 0. Calculate b.
-1, -2/5, 0, 12
Let v = 1533 + -1528. Let m(u) be the third derivative of 0 + 1/60*u**6
|
{
"pile_set_name": "DM Mathematics"
}
|
8*i + 2*i**2 - 134*i + 36*i + 3 + 2*i**3 + 0*i**2 + 47*i as h*i**3 + f*i + o*i**2 + l*i**4 + c and give o.
2
Rearrange 1388*m**2 + 268547*m - 134270*m - 134274*m to i*m + w*m**2 + u and give i.
3
Rearrange 222 + 5389*g + 2271*g - 222 - 1245*g to y*g + p and give y.
6415
Rearrange 51 - 472*w - 33 - 26 + 0*w**2 + 2*w**2 + 7 to the form d + t*w**2 + u*w and give d.
-1
Rearrange ((270 - 270 + 27*v)*(-3*v - v + 2*v) + v**2 + 1 - 1)*(-342 + 342 - 100*v**2) to the form q*v**3 + p*v**4 + m + o*v**2 + z*v and give p.
5300
Express (3*s + 2*s - 7*s)*(2 + 1 - 6) - 1 + 1 - 2*s + s + 3*s + 3*s - 5*s + 0*s in the form d + a*s and give a.
6
Express (4*m**2 + m - m)*(678*m + 194*m - 1188*m)*(m + 5*m - 2*m) - 5*m**3 + 2*m**4 + 5*m**3 in the form l*m**4 + g*m**3 + b*m**2 + t*m + u and give l.
-5054
Rearrange -7*y**2 - 1195 + 0*y**3 + 1196 + 24*y**3 to the form h*y**2 + s*y + q*y**3 + p and give h.
-7
Rearrange (-4 + 10 - 11)*(6225 - 6225 - 665*o**2) to c*o**2 + w*o + d and give c.
3325
Rearrange 18 - 9511*b**3 + b + 9508*b**3 - 2*b to u*b + a + c*b**3 + d*b**2 and give c.
-3
Express -n - 127 - n**2 + 2*n**2 - 139 + 0*n + 272 in the form k*n**2 + r*n + m and give m.
6
Express (2 + 1 - 2)*(245 - 1184*r - 122 - 123)*(-2 - 9 - 2) in the form s*r + g and give s.
15392
Express -518 + 1540 - 524 + 9*z**2 - 516 as h*z + m*z**2 + b and give b.
-18
Rearrange 2*v**4 + 2*v**3 - 4951 + 4939 - 7*v**2 - 7*v**2 to the form r*v**2 + k*v**3 + i*v**4 + o*v + j and give i.
2
Rearrange -75*w - 87 - 69*w + 70*w - 27 - 2*w**3 + 57*w to s*w**3 + n + p*w + d*w**2 and give p.
-17
Rearrange (2*y**2 - y**2 - 2*y**2)*(3 + 1 - 2) + (33*y + 29*y + 21*y)*(y - 2*y - y) - 1 + 1 - 2*y**2 - 2*y**2 - 2*y**2 + 3*y**2 to k*y + w*y**2 + l and give w.
-171
Rearrange 3374*q - 3152*q + 17873*q + 4224*q to the form o + u*q and give o.
0
Rearrange 189*n**2 + 21*n - 102*n**2 + 51*n - 13*n - 90*n**2 + 2*n**3 to c*n + z*n**2 + h*n**3 + k and give z.
-3
Rearrange (2 - 4 + 3)*(0*b**4 + 0*b**4 - b**4) + 1928*b**4 + 423*b + 1501*b**4 - 423*b to k*b**3 + y*b**2 + o*b**4 + f*b + x and give o.
3428
Express (57 - 27 - 34)*(2857*k**2 - 2553*k**2 + 3017*k**2) as w*k**2 + c*k + v and give w.
-13284
Rearrange (6 - 2 - 2)*(16*t - 2*t + 73*t)*(7*t + 43*t + 44*t)*(-1 + 1 + t) to s*t + w*t**3 + b + k*t**2 and give w.
16356
Rearrange -5*x**2 - 13*x - 620 + 3*x**2 + 4*x**2 + 382 + 14*x to y + n*x**2 + b*x and give y.
-238
Rearrange 2053*b**2 + 5 - 6*b - b - 2045*b**2 to j + q*b**2 + f*b and give q.
8
Express (36 - 20 - 7*g - 18)*(-356 + 5*g - 355 + 714) in the form j*g**2 + d*g + i and give i.
-6
Rearrange (177*l + 300*l - 110*l)*(13 + 4 - 13)*(2 + 2 - 3) to the form o + g*l and give g.
1468
Rearrange -733*n - 5 + 3 + 4089*n + 4447*n to c + u*n and give u.
7803
Rearrange (30 - 37*x - 30)*(5 - 2 + 0)*(6*x**2 + 8*x**2 + 19*x**2)*(-2*x + 2*x - 3*x) to c*x + b + l*x**3 + n*x**4 + v*x**2 and give n.
10989
Express 15 + 415*t - 386*t - 37 as c + w*t and give c.
-22
Express 3*j - 1966459 + 9*j**4 - 2*j**3 + 90*j**4 + 1966461 in the form s*j**2 + p*j**3 + w + l*j**4 + g*j and give l.
99
Express (7 - 15 + 26*m + 7)*(2*m - 913 + 451 + 459) as z*m**2 + x + l*m and give z.
52
Express -2092 - 4*s**3 + 2*s - 2374 + 4464 in the form z + v*s**2 + k*s**3 + p*s and give k.
-4
Express 2*o**2 - 28*o + 26*o - 3227*o**3 + 3204*o**3 as v + w*o**2 + c*o + l*o**3 and give c.
-2
Express 4453*c - 1 + 8 - 11 + 4 as n*c + r and give n.
4453
Rearrange -30540 - 60*o**2 + 30537 - 537*o**2 to a + h*o + b*o**2 and give a.
-3
Rearrange -4294*h**2 + 16*h + 2143*h**2 + 4 + 2143*h**2 - 3 to the form c + r*h + t*h**2 and give r.
16
Rearrange (-134 - 122 + 83)*(3*c**3 + 5*c**3 - c**3) to the form d*c + n*c**3 + s + u*c**2 and give n.
-1211
Rearrange -13649*m**2 + 7 + 6 - 2 - 11 to t*m**2 + x + w*m and give t.
-13649
Express 1 - 1 + s**3 + (-2 + 2 - 2*s)*(s**2 + s**2 - s**2) + (6170*s**2 + 7477*s**2 + 3063*s**2)*(s - 2*s - s) as q*s**3 + x + n*s**2 + y*s and give n.
0
Rearrange 2 + 113312*y - 2 - 116829*y to the form r*y + v and give r.
-3517
Express (-48544 + 19568 - 3942)*(-f**2 - 3*f + 3*f) in the form a*f**2 + l + y*f and give a.
32918
Rearrange 504 + 7370 - 24*n - 555 + 25*n + 5560 to the form a*n + t and give a.
1
Rearrange (15 - 5 + 8)*(2 - 5 + 1 - 5 + 4 + 0 + (-5 + 0 + 6)*(-5 + 4 - 1) - 2 + 0 + 3 - 131 + 14 + 229)*(-o + 3*o + 0*o) to the form k*o + j and give k.
3888
Rearrange (c + 2*c - c + c + 2*c - 2*c + (2*c - 2 + 2)*(2 - 2 - 1) - 2*c - c + c)*(340*c - 686*c + 71 + 347*c) to i*c**2 + u + f*c and give i.
-1
Express -14092 - 849*q**4 - 2*q**3 + 15*q**2 + 14092 + 70*q**4 as u*q**3 + x*q**4 + j + w*q**2 + k*q and give u.
-2
Rearrange 309 - 454*v**3 + 147*v**3 + 149*v**3 + 156*v**3 - 17*v**2 to n*v**2 + f*v**3 + y*v + d and give n.
-17
Express 7121*f + 2 - 860*f - 2 + 868*f as a*f + y and give a.
7129
Rearrange 36*j**3 - 10*j - 64*j**3 - 1 + 36*j**3 - 2*j**3 to the form u*j**3 + g*j + b + o*j**2 and give u.
6
Express -2735*o - 8029*o - 4386*o + 1274*o as q + m*o and give m.
-13876
Rearrange (1 + 2 - 5)*((76*g + 84*g + 7*g)*(-g + 8*g - g) - g**2 + 5*g**2 - 3*g**2) to w*g + n + m*g**2 and give m.
-2006
Rearrange 42*f + 14*f**3 - 15*f - 3*f**2 - 15*f**3 + 2*f**2 - 16*f to the form u*f**2 + l*f**3 + h*f + c and give u.
-1
Express 2 - 2 - 4*x**3 + (3729*x**2 - 6256*x**2 + 4585*x**2)*(-7*x + 3*x + 2*x) as z*x**2 + j*x + l + o*x**3 and give o.
-4120
Express -229*s**4 - 10*s + 2*s**3 - 210*s**4 + 12*s + 17*s**3 as k*s**4 + j*s**2 + a + m*s**3 + r*s and give r.
2
Rearrange 4043 - 4043 - 977*d**3 + (-3*d + d + d)*(-d + d - d**2) + d**3 + 2*d**3 - d**3 + d**3 - 3 + 3 to the form a*d**3 + g*d + t + y*d**2 and give t.
0
Rearrange -t**3 + 268*t**4 + 4*t**3 - 2*t**3 + 267*t**4 + t**2 + t + 597 - 536*t**4 to m*t**3 + w*t + s*t**2 + i + j*t**4 and give s.
1
Rearrange 2*f**4 - 1125850*f**2 + 307 + 1125850*f**2 - 4*f to p*f**3 + j*f**2 + d*f + g + z*f**4 and give g.
307
Express (33*s + 28*s - 73*s + 2)*(-5*s - 2*s + 5*s) + (-2 + 2 - 2*s)*(3 - 3 - 3*s) + 5*s**2 + 0*s**2 - 3*s - 7*s**2 as h*s + p + d*s**2 and give h.
-7
Express (-6 + 3 + 17)*(-9*c - c**3 + 9*c) + 2*c**3 - 5 + 5 + (c + 4*c - 4*c)*(-c**2 + 7*c**2 + c**2) in the form b*c + a*c**2 + x*c**3 + i and give x.
-5
Express 12*d**4 + 50*d**3 + 2*d - 196*d**3 + 3*d**2 - 106 + 144*d**3 as j*d**3 + a + o*d**2 + b*d + z*d**4 and give b.
2
Express (-4 + 0 + 5)*(-1435 + 177 + 5923)*(x - 4 + 4) as f + w*x and give f.
0
Express 2719*v**4 + 7*v - 2752*v**4 + 18*v**3 + v**2 - 20*v**3 - 3 as p*v**4 + q*v + z + m*v**3 + y*v**2 and give z.
-3
Express -1432978 + b + 4074*b**2 + 1432978 as l*b**2 + g + x*b and give x.
1
Rearrange -55*z + 33*z - 10788 + 10900 to the form d*z + k and give k.
112
Express 0*s**3 + 14076*s**4 + 2*s**3 + 5*s**2 + 4 - 13928*s**4 in the form k*s**3 + f*s**4 + v*s**2 + o + b*s and give f.
148
Express (1 - 1 + 3*m)*(148 + 332*m - 151 - 538*m) as j*m**2 + i + k*m and give j.
-618
Rearrange -51041*g + 24 - 307 - 131 + 51036*g to the form q*g + i and give i.
-414
Express -66 + 133 - 43*o**2 - 68 - 23*o**2 - 53*o**2 as w*o**2 + a + p*o and give a.
-1
Express 6*n**2 + 5*n**2 - 5*n**2 + (34 - 34 + 13*n**2)*(2 + 7 - 4) + 0 + 0 - 2*n**2 in the form l*n**2 + q + j*n and give l.
69
Rearrange 9 + 2 - 754*o**2 - 3 - 8 + 2 to the form j + y*o + p*o**2 and give p.
-754
Rearrange (-3 + 1 + 3)*(413*g + 2089 + 4469 - 411*g - 1221) to the form i*g + d and give d.
5337
Rearrange (-6571 + 644*r + 6571)*(-2*r - r + 6*r) to the form b + a*r**2 + t*r and give a.
1932
Rearrange (40*i + 99 - 85*i + 43*i)*(407 - 407 - 92*i) to the form m*i**2 + z + x*i and give m.
184
Rearrange (5*f + 13 - 13)*(-5 + 1 + 3) + 8743*f - 2924*f + 38 - 38 to the form g + v*f and give v.
5814
Rearrange 93 + 140 + 12*x + 45 - x + 124 to c + h*x and give c.
402
Rearrange -76*v + 6*v - 34*v + 3 + 10*v - 143*v to x + b*v and give b.
-237
Express 16 + 70*v**2 + 95*v**2 + 55 - 166*v**2 in the form w*v**2 + f*v + a and give w.
-1
Express 2*f**4 + 0*f**2 + 0*f**2 + (75*f**2 + 0*f**2 - 346*f**2)*(-6*f**2 + 5 - 5) as h*f**2 + g*f**4 + j*f + x + y*f**3 and give g.
1628
Rearrange 8*p**2 - 5*p**2 + 37646 + 7*p**2 + 2*p + 5*p**2 - 14*p**2 to y + z*p + s*p**2 and give z.
2
Rearrange 0*d**2 + 118551*d**3 + 3 - 4 - d + 4*d - 118485*d**3 + 7*d**2 to g*d**2 + v + y*d + i*d**3 and
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{
"pile_set_name": "DM Mathematics"
}
|
= 26. Sort y, 3, p in decreasing order.
p, 3, y
Let z = 4.2 - 3.9. Let j = 492/7 - 70. Sort j, z, 2.
j, z, 2
Let d = 1 - 6. Sort d, 1, 4 in ascending order.
d, 1, 4
Let n = 0.2 - -4.8. Let t be (1/4)/(9/8). Sort n, -5, t.
-5, t, n
Let g = -27.7 - -28. Put 2.2, g, -0.1 in increasing order.
-0.1, g, 2.2
Let b(q) = -2*q + 5. Let u be b(3). Let v be (-3)/(((-9)/6)/u). Put v, -0.1, 0.3 in ascending order.
v, -0.1, 0.3
Let h = 2094/11 + -25447/132. Let u = h - -8/3. Let l = -4.5 - -5. Sort u, 2/9, l in descending order.
l, u, 2/9
Let m be (-15)/(-12)*8/20. Sort m, 4/5, 0.3 in descending order.
4/5, m, 0.3
Let q = 36 - 20. Let a = q - 17. Suppose 5*d + 12 = 2*z - 0*z, 2*d = -4*z. Sort 0.3, a, d in increasing order.
d, a, 0.3
Let m = -69.17 - -70. Let s = 0.17 + m. Sort 0.03, -0.2, s.
-0.2, 0.03, s
Let b = -0.1 - 5.9. Let l = 10.04 - 0.04. Let z = b + l. Sort z, 1, -2.
-2, 1, z
Let d = 0 + -68. Let n = -139/2 - d. Put 0.3, n, 0.2 in increasing order.
n, 0.2, 0.3
Let d = -65 - -65.2. Put -2/11, 0.1, d in increasing order.
-2/11, 0.1, d
Let f = -5 + 8. Suppose f*p = 2*v + 3 - 5, 0 = 3*v + 5*p - 3. Sort 3, v, 2 in ascending order.
v, 2, 3
Let o be (-1*2)/(-2 - 29). Put o, -1/7, 1/2 in decreasing order.
1/2, o, -1/7
Let w = -0.08 + -2.92. Sort -1/3, 1/2, w in descending order.
1/2, -1/3, w
Let j(n) = -n**3 - 5*n**2 + 3*n + 2. Let a be j(-6). Suppose 5*u + a = u. Sort u, 5, -4 in descending order.
5, -4, u
Let g = -1.4 + -0.1. Let c = -1 - g. Let t = -1363/15 + 91. Put t, -0.3, c in decreasing order.
c, t, -0.3
Let h = 1 + 3. Let s = h + -4.4. Sort s, -0.5, 5 in increasing order.
-0.5, s, 5
Let c = -0.14 - -0.24. Let o be (-264)/(-45) + -3 + -3. Let x = 0.4 - 0.2. Put c, x, o in ascending order.
o, c, x
Let w be ((-27)/(-18))/(6/16). Put 0, -2, w in descending order.
w, 0, -2
Let v = -1.5 - -1.5. Sort v, -6, 0.3.
-6, v, 0.3
Let a = -17 + 10. Let u = -7.3 - a. Let x = -2/741 - -1504/8151. Sort -1, x, u in increasing order.
-1, u, x
Let d be (-3)/(3/14)*6/12. Sort 4, -1, d in ascending order.
d, -1, 4
Suppose 0*z = 3*z + 3. Sort 7, -5, z in increasing order.
-5, z, 7
Let p = 869/7 - 124. Put 0.076, 3/2, p in descending order.
3/2, p, 0.076
Let t(a) = -2*a + 14. Let v be t(8). Let x(b) = b**2 - 2*b + 1. Let w be x(4). Suppose -10 = 2*d - w*i + 4*i, -5*i = 5*d - 45. Put d, 1, v in ascending order.
v, 1, d
Let y = -45 - -52. Put y, -4, 4, 0 in descending order.
y, 4, 0, -4
Suppose -5*i + 31 = 4*a, -2*a - 3 = a - 5*i. Suppose a*o = 3*d + 22, -3*o + 4*d = 10 - 30. Suppose 3*h - 6 = -0. Put 1, o, h in ascending order.
1, h, o
Suppose 4*s = -5*h + 3, 0 = -3*s + 4*s + 5*h + 3. Suppose -s = 3*o + 1. Sort 0, o, -4 in descending order.
0, o, -4
Let l = 0 - 0. Let s(d) = 4*d**2 + 1. Let z be s(-1). Suppose -3*c - 11 = -z*p, -6 = -p + 4*c - 14. Sort -2, p, l in ascending order.
-2, l, p
Let p = 14 + -9. Sort p, -0.4, -5.
-5, -0.4, p
Let v = -50 - -46. Put v, 2/9, -2 in decreasing order.
2/9, -2, v
Let a = -2.15 + 0.15. Sort -4/7, a, -0.1 in increasing order.
a, -4/7, -0.1
Suppose 5*x = 4*x - 3. Put -1, -5, x in descending order.
-1, x, -5
Let u(f) = 4 - 2*f**2 - 3 + 0. Let j be u(-1). Suppose 4*x + 11 = 3*t, -3*x - 2*t - 30 = 3*t. Put -3, j, x in decreasing order.
j, -3, x
Let k be 1/2 + 3 + (-81)/24. Put 4, 0, k in descending order.
4, k, 0
Let u = 3 - 5. Let b = -8 + 11. Suppose -7*h = -4*h - b. Put u, h, 0 in decreasing order.
h, 0, u
Let m = -3 + 3. Suppose 0 = -3*i - r + 1, 6 = -3*i + r - 1. Sort i, m, -3 in ascending order.
-3, i, m
Let l(k) = -k**2 + 10*k - 6. Let j be l(9). Let t(g) = -g - 5. Let u be t(0). Sort 2, j, u in ascending order.
u, 2, j
Let g = 73 - 1093/15. Put -0.3, g, -1 in increasing order.
-1, -0.3, g
Let f = -7.95 + -0.05. Let y = f + 5. Let p be 0*2/(2/1). Put y, p, 3/7 in ascending order.
y, p, 3/7
Let a = -75 + 78. Put 5, 13, a in increasing order.
a, 5, 13
Let c(t) = t + 3. Let m be c(-30). Put m, -1, -5 in decreasing order.
-1, -5, m
Suppose -2*x - 4*q = -6, -5*q = -3*x - 0*q - 2. Suppose i = -3*i + 20. Sort -3, x, i.
-3, x, i
Suppose 9*r - 48 + 12 = 0. Sort -3, r, 3 in decreasing order.
r, 3, -3
Let a be ((-1)/2)/(1/(-18)). Suppose -2*z - 17 + a = 0. Put 7, -4/7, z in increasing order.
z, -4/7, 7
Let m(z) = 8 - 5*z + 5*z + z**2 + 4*z - 3. Suppose -3*n = 5*f + 2*n, 40 = -5*f + 5*n. Let a be m(f). Sort a, -4, 4.
-4, 4, a
Suppose 4*p - 3*p = 1. Put 5, 2, -1, p in descending order.
5, 2, p, -1
Suppose 0 = 3*g + d + 2, 2*g - 4*g - d = 2. Let l(t) = t + 5. Let b be l(-9). Sort g, 5, b in ascending order.
b, g, 5
Let k = 152 + -152.1. Put -1, k, 3, -0.5 in descending order.
3, k, -0.5, -1
Let m = 1.5 - 1.8. Sort m, -0.2, 5.
m, -0.2, 5
Let t = 0.3 - -0.2. Let h = -15.4 + 15. Let d = 0.8 + h. Sort d, t, 1 in descending order.
1, t, d
Suppose 1 = w - 0*c + 4*c, -4*w + 2*c + 4 = 0. Sort 13, w, 5, 4.
w, 4, 5, 13
Let b = 24.5 + -24. Sort b, 2/5, -0.1.
-0.1, 2/5, b
Let j be ((-8)/(-10))/((-4)/(-20)). Put 2, -2, j in descending order.
j, 2, -2
Let w = -19.8 - -18. Let f = w - -2. Put 4, -4, f in descending order.
4, f, -4
Let r = -38 - -36. Put -1, -5, r, 3 in descending order.
3, -1, r, -5
Let c = -3.4 + -0.6. Put -16, c, -2/17 in decreasing order.
-2/17, c, -16
Suppose n = -13*n - 28. Put -5, 3, n, -1 in increasing order.
-5, n, -1, 3
Let v be (-2)/(-4)*2 - 1. Suppose -2*j - 5*x - 2 - 12 = v, 5*j + 5*x + 20 = 0. Sort j, -3, 5 in decreasing order.
5, j, -3
Let n = 127.95 + -128. Put n, 3, 4 in descending order.
4, 3, n
Let a be 2 - (-1 - (-14388)/4220). Let s = -2/211 - a. Let t = 0.1 - -0.1. Sort t, s, -6/7 in decreasing order.
s, t, -6/7
Let z(s) = 2*s - 7. Let u be z(6). Suppose 0 = 2*b - u*b + 9. Suppose -b*m - 1 = -13. Sort m, -3, 0.
-3, 0, m
Let x = -15 + 15. Put 4, x, -0.2, -0.3 in decreasing order.
4, x, -0.2, -0.3
Let b = -16 + 17. Put b, 0, 8 in decreasing order.
8, b, 0
Let p = 23 + -23. Let z be (0 - (0 - 1))*3. Suppose p = t - 0*t + z. Put 0, -4, t in ascending order.
-4, t, 0
Suppose -2*r + 3*r = 4. Let c = -8 + r. Let k = -1 + c. Sort k, 4, 1 in decreasing order.
4, 1, k
Let o = -0.8 - 2.2. Let z = 0 - o. Let j = 1 - z. Sort 0, 5, j in decreasing order.
5, 0, j
Let h = 0.3 + -0.1. Let c be 21/(-70)*(-8)/6. Let d = 0.09 - 1.09. Put h, c, d in descending order.
c, h, d
Let x be (-31)/11 + (-16)/88. Sort -5, 0, x in ascending order.
-5, x, 0
Let s = 4 + -7. Let x be (-2)/(-13) + (-90)/78. Sort s, 3, x in descending order.
3, x, s
Let f = 15 + -11. Let q be (-15)/(-13) + f/(-26). Put 2, 0, q in increasing order.
0, q, 2
Let m = -25 - -22. Sort m, -0.5, -5 in descending order.
-0.5, m, -5
Let u(i) = 5*i + 11 + 4*i - 8*i. Let n be u(-12). Put n, -3, -2 in increasing order.
-3, -2, n
Let w be (-325)/39 + (-2)/(-6). Put -3, w, -5 in decreasing order.
-3, -5, w
Let d = 0.3 - 0.24. Sort 3, 0.5, d in increasing order.
d, 0.5, 3
Let p = 1.1 - 1. Let o be 16/154 - 2/7. Sort -1/3, p, o in ascending order.
-1/3, o, p
Let f(r) = -7*r. Let m be f(-1). Let v be (2 + 0)/(m/(-14)). Let x be v/(2 - (-1 + 1)). Put 1, 2, x in increasing order.
x, 1, 2
Let s = 11 + -7. Suppose -s*g = 4 + 4. Sort -4, g, 2 in descending order.
2, g, -4
Let s be 33/(-2)*(4 + -2). Let u = s + 65/2. Sort -0.3, 5, u.
u, -0.3, 5
Let k be (2/3)/(10/75). Sort -1, k, 3 in ascending order.
-1, 3, k
Let r = -3 + 3.2. Let i = -10.23 + 0.23. Let v = i + 13. Sort r, v, 2 in decreasing order.
v, 2, r
Let g = -0.9 - -0.9. Let x = g - -0.5. Sort -5, x, 0 in ascending order.
-5, 0, x
Let o = -3 + 6. Let j = o - 3.5. Suppose 2*h = -0*s + 3*s - 4, -15 = 5*s + h. Sort 4, j, s in decreasing order.
4, j, s
Let n = 35 - 25. Sort -2, -4, n in increasing order.
-4, -2, n
Suppose -4*h = -2*n + 10, 4*h - 3 = 5*n + 8*h. Let i(u) = -n + 0*u + 2 - u. Let j be i(6). Sort j, 0.4, -3/5 in descending order.
0.4, -3/5, j
Suppose -k = -4*b - 6*k - 28, -16 = 4*k. Put b, -4, 1/4 in descending order.
1/4, b, -4
Let z = 2 - 1. Let t = -58.4 + 58. Put -2, z, t in ascending order.
-2, t, z
Let m(o) = -o + 10. Let x(y) = -y**2 + 7*y. Let b be x(5). Let u be m(b). Put 2, u, -0.1 in ascending order.
-0.1, u, 2
Let n = 1903841/143 + -145208/13. Let m = 2142 - n. Let c = 377/231 + m. Put 1/2, 2/3, c in ascending order.
c, 1/2, 2/3
Let c = -3/4 - 1/20. Let v = 27 + -27.1. Sort c, 2, v in ascending order.
c, v, 2
Let p be (
|
{
"pile_set_name": "DM Mathematics"
}
|
q be m(7). Suppose q = 2*d - k - 17, 3*k = 17 - 2. Is d prime?
True
Let m(p) = -p**3 - p**2 + 2*p - 1. Let a(s) = -s**2 - 3*s + 5. Let k be a(-4). Let q be m(k). Is 2/5*(q - -56) prime?
False
Suppose 4*j - g - 1321 = 0, g + 788 = -5*j + 2446. Is j prime?
True
Suppose 2*x - 6*x + 1528 = 0. Is x a prime number?
False
Suppose 3*s + 0*s = -84. Let m = s - -119. Is m a composite number?
True
Suppose 2*w = 313 + 23. Suppose -b + w = 23. Is b prime?
False
Let f = 3 + -1. Suppose -2*n + 4*x + 118 = 0, -f*n + 48 + 54 = 4*x. Is n prime?
False
Let f(l) = 12*l + 17. Is f(14) prime?
False
Suppose 0 = 3*k - 441 - 318. Is k a composite number?
True
Let g(x) = 12*x + 1 - 9 - 10*x. Let l be g(6). Suppose -4*a + 5*u - 13 + 225 = 0, l*a = -4*u + 212. Is a a prime number?
True
Suppose 0 = 6*f - 10*f. Let r be 32 + 1*(-3 + f). Let h = r + 68. Is h composite?
False
Let j = 0 + 6. Suppose -4*b - 4 = -j*b. Suppose b*g = 6*g - 1036. Is g a prime number?
False
Let o be -8*((-6)/4)/3. Suppose 6 = -4*b + o*g - 2, -5*b - 2*g = -18. Suppose 0 = b*p - p - 19. Is p prime?
True
Let q(k) = k + 9. Let h be q(-13). Is (682/55)/(h/(-10)) a composite number?
False
Let l = -4 - -8. Suppose -4*k - c + 63 = 0, 3*c = 7*c + l. Suppose 118 = 2*p + k. Is p composite?
True
Suppose -j + 65 = 3*h, 3*h = j + 2*j - 183. Is j composite?
True
Let v = -18 + 20. Suppose -v*a + 5*z = a - 267, -461 = -5*a + 3*z. Is a prime?
False
Let c(d) be the second derivative of 7*d**6/60 + d**5/60 - d**3/6 + 3*d**2/2 - d. Let s(v) be the first derivative of c(v). Is s(1) prime?
False
Suppose 3*l + 38 = -0*c - 4*c, -55 = 5*l + 5*c. Suppose x = 6*x - 3*v - 27, v = -4. Is ((-116)/l - 1)*x a prime number?
False
Suppose 5*b - 7 = 8. Let d = -173 + 248. Suppose 0 = -b*y + d - 6. Is y composite?
False
Suppose 5 = n + 1. Suppose -4*g = 2*r - 158, n*g + 17 = -4*r + 329. Suppose -5*v - 2 = -r. Is v a prime number?
False
Let a be (1/1)/(1/(-5)). Let w be 2*a/(-4)*2. Suppose 0 = -w*i + 8 + 22. Is i composite?
True
Suppose -2*d + 107 = 3*l, -2*l - l + 3*d = -102. Is l prime?
False
Let f = -9 - -5. Is ((-2)/f)/(-1)*-194 prime?
True
Suppose 3*h + 2*d = -2*h + 1257, 5*h - 5*d = 1250. Is h composite?
False
Let n(d) = d - 3. Let v be n(-4). Let y be (1 - 2)/((-1)/v). Let q = 17 + y. Is q prime?
False
Let t be 19*-2*(-3)/(-1). Let q = -59 - t. Is q a prime number?
False
Let q(u) = u + 2*u + 1 - u. Let j be q(-2). Let g(f) = 2*f**2 + 1. Is g(j) composite?
False
Suppose 0 = -4*y + 2*y - 4, -4*c + 4062 = -5*y. Suppose -611 = -3*b - f, -8*b = -3*b + 3*f - c. Is b a composite number?
True
Suppose -o = o + 8. Is (-157)/(-4) - o/(-16) a composite number?
True
Suppose 0 = -4*x - 5*s + 3*s - 10, x - 5 = -2*s. Is (x/(5/(-382)))/2 a prime number?
True
Suppose -4*v - 1969 = b - 2*b, -b - 4*v = -1969. Is b composite?
True
Let k = -3 - 4. Is (11/2)/(k/(-42)) a prime number?
False
Let l(t) = t**2 - 13*t - 51. Is l(23) composite?
False
Suppose 5*g = 5*r + 860, 2*g = -2*r - 3*g - 309. Let b = 312 - r. Is b prime?
True
Is 4 - (-1 + 1479/12)*-12 a prime number?
True
Is ((-370)/(-50))/(2/370) a composite number?
True
Suppose 2*l = -4*u + 5*l + 4, -u = -5*l + 16. Suppose -115 = -q + 5*p + 54, 5*p = -u*q + 576. Is q a prime number?
True
Let h = -54 + 199. Let m = h + -92. Is m a prime number?
True
Suppose -3709 = -5*m - 5*y + 2*y, 0 = -m - 5*y + 733. Is m prime?
True
Is (36/(-24))/((-6)/532) composite?
True
Suppose -557 = -5*c + 488. Is c prime?
False
Suppose 7*m = 4*m + l + 336, -2*l = 3*m - 345. Is m composite?
False
Suppose -2*d - 2*d + 996 = 0. Is d composite?
True
Is 3353/3 - 10/15 composite?
False
Suppose 3*s = 2*b + 4683, -3*s + 2*b = -s - 3120. Is s a prime number?
False
Suppose f + 23 = -2*m + 6*f, -22 = 4*m - 2*f. Let y be (-8350)/(-70) + m/14. Suppose -p - y = -6*p + q, -5*p = 2*q - 107. Is p a prime number?
True
Let s(k) = k**2 + k + 4. Is s(-3) composite?
True
Let k = -7 + 17. Let s = -16 + k. Is 321/9 - s/(-9) composite?
True
Suppose 34*k - 36*k = -1270. Is k prime?
False
Let b(v) = 2*v**2 + 9*v + 1. Is b(-9) prime?
False
Let j(w) = 75*w + 74. Is j(19) a composite number?
False
Suppose 0 = -0*u - 3*u. Suppose u = -0*i - 3*i + 66. Let z = i + 31. Is z a composite number?
False
Suppose -3*f + 517 = 3*p + f, -481 = -3*p + 5*f. Suppose -5*r = -492 + p. Is r a prime number?
False
Let h be (-113)/(-3) + (-8)/(-6). Is 2/(8/h)*4 a composite number?
True
Let w = -508 - -319. Let i = w + 400. Is i composite?
False
Is (693/36)/((-2)/(-8)) a composite number?
True
Suppose -3*m - t = -3*t + 7, m - t = -3. Let i(a) = -70*a**3 + 2*a + 1. Let b(j) = -210*j**3 + 6*j + 3. Let x(y) = -2*b(y) + 7*i(y). Is x(m) a composite number?
True
Let o(w) = w**2 - 4. Let u be o(3). Is u*((-808)/(-10) + 1) a prime number?
True
Let m be 12/(-10)*10/(-3). Suppose -m*x + 411 = -185. Is x prime?
True
Suppose 0*z - 4*z + 3527 = 3*h, 0 = h + 3*z - 1174. Is h a composite number?
True
Let x(i) = i**2 + 8*i + 4. Let c be x(-8). Let l = c - 2. Suppose 2*p = -v + 13, l*v = -5*p - 12 + 47. Is p prime?
False
Let z be 1*(140 - (2 + -1)). Suppose -4*q - z = -527. Is q a prime number?
True
Let r = 12 + -23. Let x be (r - (1 - 3)) + 0. Let t = 43 + x. Is t a prime number?
False
Suppose 21 = 5*t - 9. Suppose -2*j = 71 - 399. Is j/3 + 2/t a composite number?
True
Let t(v) = -v**3 + 7*v**2 + 9*v - 5. Is t(7) a prime number?
False
Let j be (-1)/(-2) + 9/2. Suppose 2*p - 4*v - 34 = p, 0 = j*v + 25. Is p prime?
False
Suppose -4*p - 1475 - 165 = 0. Is 6/((-12)/p)*1 composite?
True
Let g(l) = 46*l + 17. Let y(u) = -2*u - 15. Let t be y(-11). Is g(t) a prime number?
False
Suppose 2183 = -3*i + 5*v, -2*v + 995 = -i + 269. Let c = i - -1043. Is c a prime number?
True
Let y(a) = 9*a**2 - 2. Let i(x) = x**3 + 2*x**2 - x + 1. Let p be i(-2). Is y(p) a composite number?
False
Suppose 2*j + 4*v + 150 = 4*j, -2*j + 2*v = -160. Is j prime?
False
Let j(s) = 3*s**2 - 7*s + 7. Is j(-7) prime?
False
Let y(s) = s**2 + 11. Is y(10) prime?
False
Let q(j) = -19*j - 2. Let w be ((-3)/(-2))/(12/(-32)). Let z be q(w). Suppose -z = -4*b - 5*t + 163, -2*t = -2*b + 96. Is b a composite number?
False
Let h(s) = -s**3 - s**2 + 5. Let k be h(0). Suppose -k*t + 1887 = 202. Is t a composite number?
False
Let f(h) = 3*h - 2. Let d(q) = q**2 + q + 7. Let a be d(0). Is f(a) composite?
False
Let c(p) = -9*p - 5. Let r(f) = -17*f - 10. Let s(v) = 11*c(v) - 6*r(v). Let q be (-11 + -1)*4/(-8). Is s(q) a composite number?
False
Suppose 3*s - 88 = -10. Is s a prime number?
False
Suppose -2*c - 5 = 3*c. Is (-1)/(-3)*(-39)/c composite?
False
Let r be (4/6)/((-2)/(-57)). Suppose -y + 2*l = -6, -r = -5*y - 2*l + l. Suppose 2*n + 1 = y*v - 1, -4*n + 2*v + 20 = 0. Is n composite?
False
Let s(i) = i**2 - 3*i + 2. Let f be s(2). Suppose f = -5*n - 4*l + 295, 68 = -3*n + 4*n - l. Let h = n - -52. Is h a prime number?
False
Is ((-890)/(-15))/((-2)/(-3)) prime?
True
Suppose 0 = -0*y - 2*y + 1770. Suppose -g + 6*g - y = 0. Is g a composite number?
True
Let u(r) = 13*r**3 - 1. Let g be u(-1). Let k = g + 29. Is k a composite number?
True
Let g = -127 + 181. Suppose -3*f + 0*p = -3*p - 282, 3*f + 4*p - 261 = 0. Let c = f - g. Is c a prime number?
True
Let t = -134 + 51. Let v(r) = -r**2 + r - 4. Let u be v(6). Let a = u - t. Is a composite?
True
Suppose -3*b + 2499 = 4*w + w, 2*w - 998 = -2*b. Is w prime?
False
Is 3 + (-4456)/(-4) - 0/1 a prime number?
True
Suppose 0 = -2*j + j + 49. Is j composite?
True
Let h be 4*(-1)/(-4)*-173. Let i = h + 258. Is i composite?
True
Suppose -i + 400 = 3*v, -3*i + i = -5*v + 663. Is v prime?
False
Let t be 3/((-6)/22)*-1. Let b = 150 + -68. Suppose -t = -3*w + b. Is w composite?
False
Suppose -2*m = -2*w - 63 + 199, 0 = w + 3*m - 68. Suppose -33 = -z - 0*z. Let r = w - z. Is r a composite number?
True
Let c(f) = f**2 + 2*f - 3. Let y be c(-4). Suppose y*o - 4*z - z = 5, z + 13 = 3*o. Is o composite?
True
Let q(c) = -c**3 - c**2 - 1. Let x be q(-2). Let h(n) = 11*n**2 + 4*n + 4. Is h(x) a composite number?
True
Let l(y) = y**3 + 723. Let u be l(0). Let d = -1132 + u. Let q = -140 - d. Is q prime?
True
Suppose -3*o + 0 = -9. Let t be 1*o - (-2 + 2). Suppose -3*u = t*s - 150, -13 = 5*u + 2. Is s a prime number?
True
Let h(u) = u**3 + 8*u**2 + 4*u + 4. Let m be h(-6). Suppose 0 = -s - 3*s + m. Suppose s = 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
1
What is -10*(9 + (-110)/12) + 236/(-12)?
-18
What is the value of (0 - 1)*(-65)/455?
1/7
(-43)/2 - (-16 - (561/(-34) - -1))
-21
What is the value of ((5/50)/1)/((-15)/(-4350))?
29
What is the value of ((-78)/(-18) + -4)/((-3)/6)*-15?
10
What is 2*(-150)/(-27)*(-198)/(-88)?
25
Calculate (-236)/22 + (3567/(-319))/41.
-11
Evaluate -1 - (-12 - (-2)/((-76)/7548*-18)).
-2/57
Evaluate -1*(-27)/(-3)*85/(-51).
15
What is -4 - -6*(-15 - -16)?
2
7 + -7 + -2 - -8
6
Calculate (-2)/(((-39)/12)/((-702)/108)).
-4
What is the value of 0 - -4 - (10 + 290/(-50))?
-1/5
Evaluate -7*12/(-210) - (-3525)/(-7875).
-1/21
Evaluate (-4)/((-40)/(-50)) - 680/(-102).
5/3
Evaluate 40/(23 - 263)*(51/24 + -1).
-3/16
Evaluate 60/28*((-130)/39 - -8).
10
What is the value of 2/(-24)*-5*(-136)/(-1530)?
1/27
Calculate -6*(-2)/(-51)*(-9 + 114/12).
-2/17
Calculate (-1)/(4 + 2 - (-5)/(-2)).
-2/7
1086/(-52) - 249/2158
-21
(1 - (-4)/(-44)) + (-5104)/5082
-2/21
Evaluate -2 - ((-7)/(35/(-15)) - 658/126).
2/9
What is the value of ((-1)/(-2))/((14/49)/((-60)/35))?
-3
What is 9737/(-819) + 7 + -1 - 3/27?
-6
What is the value of 4 + 2*3/18*-9?
1
Calculate ((-30)/(-35))/(8 - (-336)/(-49)).
3/4
Evaluate ((-78)/10 - -7)*(171/42 - 4).
-2/35
-42 + (-2068)/(-121) + 17/(-187)
-25
Evaluate (38/10 - 1) + (-5 - -20) + -18.
-1/5
Evaluate 6/(-14) + (-74)/1073 + 4448/7308.
1/9
What is (-9 - (4 + -8) - (7 + -12))/1?
0
Evaluate 3/36 + (-397)/19056.
1/16
What is the value of (-1643)/40810*14 + (1 - (-4)/(-10))?
2/55
Calculate 9/(-14)*(47/6 - (57 + -48)).
3/4
Calculate (544/952)/((-4)/(-14)).
2
Evaluate (((-4)/210)/2)/(174/609).
-1/30
((-55)/30 + (-5)/(-6))/((-58)/(-1276))
-22
What is the value of 5985/(-14994) + (-3 - (-24)/7)?
1/34
Calculate (-7)/(-28)*-14*2*18/42.
-3
Calculate (-119 + 101 - (-113)/6)/(1/(-6)).
-5
What is the value of ((11 + -7)/1 - 4) + 6*-2?
-12
Evaluate 2/18*(3 + 14/(-14) - 0).
2/9
Evaluate (-8 - 15) + 6832/336.
-8/3
Calculate (8 - (7 - 14/(-21)))*-18.
-6
What is 35/((-1680)/(-1884)) + (-10)/8?
38
Evaluate 3 + -9 + (-248)/66*6/(-4).
-4/11
Evaluate -13 + (-18)/6 - -19.
3
What is (7/((-231)/(-18)))/((-457)/(-20108))?
24
Evaluate ((-80)/70)/((-8)/(-28)).
-4
What is -6*6/63*5586/(-228)?
14
Evaluate (1 - (-10)/(-8))*(-1645 + 1647).
-1/2
What is the value of ((-12)/(-45))/((-18)/120*4)?
-4/9
0/(230/(-10) + 31)
0
(-6)/((-25)/((-175)/14))*(1 - 12)
33
Calculate (-3)/(54/159) + (-273)/234.
-10
Calculate 414/26 - 9/(-117).
16
Evaluate 1/(126/36) - 62/70.
-3/5
What is 38 + 10 + -48 + (-3)/(33/(-2))?
2/11
What is (63/(-6) - -11)/((-6)/(-72))?
6
Evaluate (732/6588)/(3 + (-2)/(-12)).
2/57
Calculate (9/(-6))/(((-1131)/338)/29).
13
((-27)/180*52 + 6)/(3/35)
-21
What is (-200)/52 + (-26)/845*5?
-4
Evaluate ((-12)/27)/((-21)/2268*6).
8
What is the value of (-5)/(-1)*(-806)/310?
-13
Calculate ((-72)/5)/9 - 104/(-40).
1
((-6)/4 - (-663)/408)/(-1)
-1/8
Evaluate (-3)/63 + (4/(-63) - 2/9).
-1/3
What is the value of (-178)/24 - (-28500)/6000?
-8/3
Calculate 26 + (20 - 78) - -30.
-2
What is (-951)/(-6023)*(-38)/(-3)?
2
Calculate (-2 + (-78)/(-36))*(-72)/16.
-3/4
Evaluate 5/(-4) - (47 - 49050/1000).
4/5
(-452)/1582*21/(-18)*(-3)/(-19)
1/19
What is 30/45*18/7?
12/7
Calculate 2/24*((-153)/3 + 29).
-11/6
Calculate 254/(-22) + (-120 - -131).
-6/11
What is the value of 60/(-570) - ((-516)/(-152) + 1)?
-9/2
Calculate (-1200)/800 + 13/10.
-1/5
Evaluate (2100/(-9))/(-84 - -66) + -13.
-1/27
What is the value of (-2 - -1)*-3 - (-60)/(-24)?
1/2
Evaluate 14/49 + 81/(-63).
-1
Calculate 630/(-567)*((-126)/15 + (-6)/10).
10
Evaluate (-3)/(132/(-319)) - (22 + -16).
5/4
Evaluate (-10)/18 + (-306964)/83088.
-17/4
Calculate 3*(-2)/7*(-882)/189.
4
Evaluate 10/(-3) - (-15 + 273/(-117)).
14
What is the value of (-1 + (-169)/(-65))*(-8 - (-702)/84)?
4/7
Calculate (-8)/32 + (-456)/96 - -18.
13
1 - 4/6 - (7728/(-144) - -77)
-23
Calculate (((-136)/(-12))/17 - (-8)/(-3)) + -7.
-9
What is the value of (7/(-63))/(2/(-142)) + (-12)/(-108)?
8
What is the value of -7 + 32 - 165/15?
14
What is the value of (-91)/7 - -5 - (-7 + -4)?
3
What is (-272)/(-204)*(-44)/16?
-11/3
Evaluate (-570)/(-1955) - (-128)/(-736).
2/17
Calculate 153/468 - ((-4)/8)/(0 - 2).
1/13
Evaluate 2/(-11) - 0 - (-608058)/30129.
20
Evaluate ((-14)/8)/(20/60) + 5.
-1/4
Calculate (8/(-14))/(-5 + (-13)/182*-69).
8
Calculate -182 - -190 - (-714)/(-91).
2/13
(1952/(-854) + (-7962)/(-3465))/(2/6)
2/55
What is the value of -2 + 32/(-10 + 2)?
-6
What is the value of (-168)/(-63) - (-3)/9?
3
Calculate (-380)/342*27/(-2).
15
What is (-2)/((26/78 + 0)/((-58)/(-12)))?
-29
Evaluate ((-1)/(-11))/((-1872)/3744).
-2/11
What is 86/(-102) - -8*(-4)/(-48)*1?
-3/17
Evaluate (2/(-5) - -1)/((-387)/(-860)).
4/3
Evaluate ((-6)/11)/((-2127)/31196).
8
(-78)/((-1 + 11/2)*(-3400)/2550)
13
(4/90)/((21/189)/1)
2/5
What is the value of 117/(1208844/2800) + (-2)/9?
2/41
76/608 + (-2)/(-48)*-31
-7/6
Evaluate (-782)/1840 - (0 + (-3)/(-15)).
-5/8
Evaluate (4/(-5))/((2013/(-330))/61).
8
What is (17 + -18)*(-4 - 172/(-40))?
-3/10
Calculate -2 + 8/(-6)*(-393)/524 - -5.
4
What is (-70)/165*((-99)/(-77))/(-3)?
2/11
(-15)/25 + (-39)/(-75) + 20203/2225
9
What is the value of 2/((24/(-18) - -3)*8/20)?
3
Calculate 8/(-36)*(22 + -29 - -14).
-14/9
What is (-944)/(-144) - (4 + 8) - (-4 - 1)?
-4/9
Evaluate 0/(30 + -1 + -32).
0
What is the value of (-198)/(-18) - (-1017)/(-90)?
-3/10
Calculate 138/(-4324)*4/(-3).
2/47
Evaluate (74/(-26) - (-27 + (-10943)/(-403))) + 24.
21
Evaluate 1/(9*18/3726).
23
Evaluate (-91 - -86)*(-6)/(-3).
-10
What is (0 - 0)*((-1056)/224)/33?
0
Evaluate (136/(-16) - -13)/(5 + 83/(-16)).
-24
((-4)/38)/((-151)/5738)
4
What is the value of 279/(2 + 7) - 37?
-6
(-10 + 0)/((-46)/299*13)
5
(564/(-69))/(-2) - (14 + (-120)/12)
2/23
Evaluate 1/((-11)/2) + ((-16380)/110)/39.
-4
(-20)/(-12)*(-4 - -1)
-5
What is the value of (-155)/70 - (-18)/84?
-2
Calculate 68/153 + 1580/90.
18
((-2590)/455)/(-37)*3
6/13
What is (2/10)/((252/(-90))/(-14))?
1
What is ((-12)/(-8) + 0)/(11 - (-40)/(-16))?
3/17
What is the value of -4*(3065/540 + 3 - 22/(-297))?
-35
Calculate ((-5)/5*(1 + -1))/(0 + 1).
0
Calculate ((-4)/40)/(1/(-4))*40.
16
Evaluate (-16)/(608/19)*(1 + 7).
-4
Calculate (1 + 6/54*-12)*21.
-7
Calculate (1 + (-27)/18)*-20.
10
(2574/1001 + (-8)/14)*19/(-2)
-19
(-28644)/46035 + 2/5
-2/9
What is 3/(-10) - (-1904)/544?
16/5
What is 1140/(-304) + -5*(-3)/15?
-11/4
Calculate (16 + -14)/((-7)/(-84)).
24
3252/120 - 28 - -1
1/10
What is the value of 34/16 + (-1923)/15384?
2
Evaluate (-4)/1 + 63 + -69.
-10
Calculate 123/12 - -28*(-14)/56.
13/4
What is the value of 7/28*(8 + 9 + 2865/(-165))?
-1/11
Evaluate 7/(5313/(-26611)) - -35.
-2/33
What is the value of 800/5400*(-66)/4?
-22/9
Calculate 16*130/(-416)*2*(-6)/(-20).
-3
(4 - (-192)/36 - 10)/(-1 + -1)
1/3
What is the value of (54/6)/((-168)/(-392))?
21
What is (18291/1015 - 18)/(130/(-25) - -5)?
-3/29
What is the value of 15/40 - ((-77)/(-11088))/((-2)/(-44))?
2/9
(-404)/(-303)*-1*3/34
-2/17
What is the value of 425/50 - 465/60?
3/4
What is the value of (-279)/(-3348) - 6/8?
-2/3
What is the value of 1*(-592)/(-72) - (40/45)/4?
8
What is (-20 + 25)*(22 + -8 + -9)?
25
45/2*242/(-363)
-15
(30/(-3) - (2 - -4)) + 12
-4
What is 2/((-41 + -1477)/(-33))?
1/23
What is the value of (55/15 - -3) + -7?
-1/3
Calculate (-16)/172*(66/(-12) + 6 - 0).
-2/43
What is the value of ((-1)/(-28)*4)/1*0/5?
0
What is 5*(-1)/(-6)*208/260?
2/3
What is the value of (1014/20)/(-13) + (9 - 91/10)?
-4
(2/20)/((-240)/50*2/8)
-1/12
What is (-1756)/76 - (6/38)/((-66)/44)?
-23
What is -5*(36/42)/((-180)/(-84))?
-2
What is the value of (-1 + 1)/(28/133*19)?
0
Evaluate ((-35)/20*(-116)/20 + -10)*-8.
-6/5
Calculate 6*(-22 - (-2240)/100).
12/5
Evaluate 3/(-2) - ((-154)/(-14) + (-194)/12).
11/3
What is the value of 33/(-99) + 172/12?
14
What is (-57)/(-36)*49/(1274/312)?
19
What is the value of (-44)/(-88)*(8/(-20) - 0)?
-1/5
Evaluate 2/(16/18) + 28/1456*-13.
2
What is the value of (-448 - -463)*(93/(-252) - 2/(-7))?
-5/4
What is the value of (-294 - -286) + (-68)/(-9)?
-4/9
What is the value of 297/(-2574)*(-6 - -4)?
3/13
(-102)/(-1173) + 1160/(-115)
-10
Evaluate (-177)/(-897) - 58/377.
1/23
((-22)/(-102) - 248/(-2108))*99
33
What is the value of (63/1)/(-3)*((-32)/(-12))/(-4)?
14
372/(-27) + (87 - 73)
2/9
Ev
|
{
"pile_set_name": "DM Mathematics"
}
|
48. Let y = -93794 + w. Let g = y + 953/92. Find the common denominator of -10 and g.
12
Let n = -545 + 1468. What is the lowest common multiple of n and 117?
8307
Let o(f) = -f**2 - 148*f + 4716. Calculate the smallest common multiple of 24 and o(26).
192
Suppose 105*f = 58*f + 78*f - 22165. Calculate the least common multiple of f and 3120.
34320
Let o be ((-230)/6003)/(2/877344). Let g = o + 16807. Calculate the common denominator of g and 14/27.
783
What is the common denominator of 102/(-136) - 57/252 and 109/140?
420
Suppose 500 = 4*m + 37*a - 34*a, 0 = -5*m + 4*a + 656. Calculate the lowest common multiple of m and 48.
384
Let b(f) = 13*f + 0*f**2 - 1 + 4*f - 5*f**3 - 15*f - f**2. Let z be b(1). Calculate the least common multiple of 6 and (-1)/(z + (-845)/(-170)).
102
Suppose -86 = -3*s + 130. Let h be (s/(12/3))/(2/66). Find the common denominator of (-1356)/h - 4/(-18) and -4/27.
297
Suppose -1757 = -15*g - 1307. Calculate the smallest common multiple of 90 and g.
90
Let c = 353317/616 - 6300/11. Find the common denominator of 131/420 and c.
840
Let i = 946483/705166 + -2/18557. Find the common denominator of (-162)/(-28) + -1 + 1 and i.
266
What is the common denominator of (2 + 100/15)*18/(-8) and ((-287)/14)/(-7 - 1)?
16
What is the common denominator of (-4 - 0 - -6) + (-674)/309 and 21/8?
2472
Let y = -10 - -14. Let z(j) = -13*j**2 - 23*j + 624. What is the least common multiple of z(6) and y?
36
Suppose 21*x - 854 = 7*x. Let y = x + -36. What is the lowest common multiple of 10 and y?
50
Let p = 58730293/300 - 195768. What is the common denominator of p and -76/33?
3300
Let l be (-2)/(-3*4/24). Suppose 0 = r - 3*s + 3, -l*r - 2*s = -0*s - 30. What is the least common multiple of r and 20?
60
Let a = -263201286769/13800 + 19072557. Find the common denominator of a and 91/6.
13800
Let d be 3/(-8) - 3412/32. Let f = -63 - d. What is the lowest common multiple of f and 3/(-2 - 11/(-4))?
44
Suppose -989*s = -980*s - 3321. What is the lowest common multiple of 123 and s?
369
Let v(t) = 4*t**2 - 6*t - 4. Suppose 0 = -3*n - 15, -3*m + 0*n + n = -14. Let a = 5 + 1. Calculate the smallest common multiple of a and v(m).
42
Let v(d) be the second derivative of d**4/12 + d**3/6 + 77*d. Calculate the lowest common multiple of 42 and v(6).
42
Let b be (14/(-35))/(2/(-20)). Calculate the common denominator of ((-6)/(-3) - (-30)/(-16))*74 and (b - 7) + (-173)/(-36).
36
Let l(h) = h + 74039108. Let w be l(0). Let s = -203681589466/2751 + w. Let k = -21/131 + s. Find the common denominator of 89/15 and k.
105
Let c = -730 - -731. Suppose -4*p - 2*x = 6, 0 = 2*p + 3*x + 3 + 6. Suppose 3*n - 5 - 1 = p. Calculate the smallest common multiple of n and c.
2
Let z = -1/3670 - -122032/16515. Let r = 1399 + -1400. Calculate the common denominator of ((-393)/66 + 6)/r and z.
198
Suppose -w - 5*k = w - 8, -5*k - 46 = -4*w. Suppose 0 = 5*y + 11*s - w*s - 35, -y - 2*s = 1. Calculate the least common multiple of 11 and y.
99
Let d be 30/(-4)*(-672)/3290. Let w = 4471/188 - d. Calculate the common denominator of w and 67/30.
60
Let v = -1222 - -3910. Calculate the least common multiple of 280 and v.
13440
Suppose -5*l + 0*l + 90 = 0. Let u = -138/77 + 785/616. Find the common denominator of u and l*(-7)/(-40) + 2.
280
Let a = 1793/3690 + -14/41. Calculate the common denominator of a and 125/1548.
7740
Let i be ((-40)/(-16))/((-39)/15). Let b = 1315/286 + i. What is the common denominator of b and -74/9?
99
Let s = 3872539/78 - 49650. Calculate the common denominator of -15/2 and s.
78
Let h = -31 + 36. Suppose 4*t - 188 = -f, 3*f + 196 = 4*f + 2*t. What is the lowest common multiple of f and h?
1020
Suppose 6 + 56 = 5*o + 2*b, -2 = o + 4*b. Let u(a) = -19*a - 3. Let r(w) = -2*w**2 + 39*w + 19. Let n be r(20). What is the least common multiple of u(n) and o?
112
Suppose 8*o = -84 + 100. Calculate the least common multiple of 1888 and o.
1888
Find the common denominator of -3/4 and 7 + (27/(-54) - (-6850)/(-1064)).
532
Let l = 9515 - 9509. Let t(v) = 11*v + 2. Calculate the lowest common multiple of t(2) and l.
24
Let d = 142222/582645 + 4/3759. Find the common denominator of d and 14/155.
155
Suppose 2*b + 8 = -4*g, 2*g = -4*b - 1 + 3. What is the smallest common multiple of (0/b)/(-4) + (-22)/(-2) and 20?
220
Suppose -4 = -3*b - b. Calculate the common denominator of 89/50 and (-496)/100 + 3/b.
50
Let h = -10435 + 10696. Calculate the lowest common multiple of 90 and h.
2610
Let o = 26 + -38. Let b be ((-8)/o)/(-2)*-3. Calculate the common denominator of 83/(2 - 10/b) and 81/2.
8
Suppose -4*m = 0, 4*a - a - 10 = -2*a + m. What is the least common multiple of 9098 and a?
9098
Let x = 7331 + -6802. What is the smallest common multiple of x and 9?
4761
What is the common denominator of -64/45 and (-1887255)/9053775 + (12/10 - 1)?
11835
Let b be (60609/(-54))/(4/28*-1). Let j = b - 7861. What is the common denominator of -149/6 and j?
18
Suppose 3*y - 2 = 10. Suppose -5 = -y*l - 17. What is the common denominator of -9/22 and (-105)/98*(-5)/l?
154
Let q be ((-2)/3*1)/(15/4185). Find the common denominator of -58/3 and (-4123)/q + (2 - 0/(-2)).
6
Let x(c) = -c**3 - 15*c**2 + 16*c - 2. Let k be x(-16). Calculate the common denominator of -3 + 149/20*2 and 222/20*k/(-6).
10
Let f(c) = -3*c + 73. Let k be f(23). Calculate the common denominator of -65/21 and ((-4)/(-240)*-41)/((-1)/k).
105
Let x be 489495/(-40300) + (-4)/16. Let c = x - 3/806. Calculate the common denominator of c and (8 - 5) + 33/(-9).
15
Let z = 70511/22 - 3209. Let a = 22521/32 + -704. Find the common denominator of z and a.
352
Let m = 6/17567 + -931195/421608. Calculate the common denominator of m and (-1)/(-3)*(-214)/8.
24
Let g = 1/933 + 2695/311. Let r be 48380/513 - (-168)/42. Let v = r + -1915/19. Find the common denominator of g and v.
27
Let o(h) = h**2 - 872*h - 11485. Suppose -t = -a - 2*a - 33, -3*t + 4*a + 84 = 0. Calculate the smallest common multiple of t and o(-13).
120
Let s(q) = -5*q**3 - 4*q**2 - 5*q + 1. Let h be s(-1). What is the common denominator of 190/1000*h/((-21)/(-18)) and -7/12?
300
Let a(c) = 19*c**3 - 4884*c**2 + 254*c + 773. What is the lowest common multiple of a(257) and ((-50)/3)/(2/(-24))?
200
Let z be (-33 - -30)/(0 + -2)*4. Suppose 4*q + 4*u = 0, -4*u - 8 = -z*q + 8*q. What is the smallest common multiple of 62 and q?
124
Let d(g) = 2*g**3 + 27*g**2 - 7*g + 113. Calculate the smallest common multiple of d(-14) and 285.
285
Let r(z) = 46*z + 1475. Calculate the smallest common multiple of 1167 and r(-32).
1167
Find the common denominator of -111/280 and -10*9/(-6)*(-4)/76.
5320
Suppose 0 = 5*h - 145 - 155. Calculate the least common multiple of (h/80)/((-3)/(-40)) and 2.
10
Suppose -3*y + 4*u + 20 = 0, -3*y + 0*u = 2*u - 8. Suppose 0*l = -y*l + 424. Let r = l - 94. What is the least common multiple of 36 and r?
36
Let c = 10223 - 357774/35. Let n = -124186/201245 - 4/3659. Calculate the common denominator of c and n.
385
Let n = 12343 - 12335. Calculate the least common multiple of n and 872.
872
Let t(d) = 5*d - 3. Let o be t(-4). Let l = -9 - o. What is the common denominator of -23/12 and (-3 - (-19)/(-21)) + (-4)/l?
84
Let x = -4266 + 4199. Suppose t = 72 - 4. Let g = t + x. Calculate the least common multiple of g and 6.
6
What is the lowest common multiple of 1600 and (43 - (-12306)/(-294)) + (-13432)/(-7)?
9600
Let o(v) = -v**2 + 24*v + 348. What is the smallest common multiple of (-12)/140*-5 + (-795)/(-7) and o(34)?
456
Let q be (5*(-45)/20)/(3/(-8)). Suppose -2*u - 5*h = -3*u + q, 15 = -3*h. What is the least common multiple of 3 and u?
15
Let y be -6*20/(-8)*9/15. What is the least common multiple of 1 and 40*1/(12/y)?
30
Find the common denominator of 6/23 and 678/(-104)*(-36)/510*5/9.
10166
What is the lowest common multiple of -77*(-42)/28*6 and 210?
6930
Let m = -1373 + 1511. Suppose -2*w - 3*t + 15 = w, -3*w = -3*t + 3. Calculate the lowest common multiple of m and w.
138
Let s be ((-896)/(-12))/(-7)*13446. Let k be s/(-28) - (-2)/(-7). Let m = k - 51279/10. Calculate the common denominator of m and 149/6.
30
Suppose -21*v + 3*v - 35 = -19*v. What is the least common multiple of 15 and v?
105
What is the lowest common multiple of 3 and ((-8
|
{
"pile_set_name": "DM Mathematics"
}
|
5, 191
List the prime factors of 12932.
2, 53, 61
What are the prime factors of 3609?
3, 401
List the prime factors of 8252.
2, 2063
List the prime factors of 2665.
5, 13, 41
What are the prime factors of 983?
983
List the prime factors of 761.
761
What are the prime factors of 114?
2, 3, 19
List the prime factors of 151146.
2, 3, 311
List the prime factors of 14812.
2, 7, 23
What are the prime factors of 112650?
2, 3, 5, 751
What are the prime factors of 8160?
2, 3, 5, 17
List the prime factors of 3994.
2, 1997
What are the prime factors of 66367?
7, 19, 499
What are the prime factors of 561?
3, 11, 17
What are the prime factors of 3682?
2, 7, 263
List the prime factors of 8906.
2, 61, 73
List the prime factors of 1508.
2, 13, 29
List the prime factors of 4642.
2, 11, 211
What are the prime factors of 5175?
3, 5, 23
List the prime factors of 50621.
223, 227
What are the prime factors of 24181?
24181
List the prime factors of 6572.
2, 31, 53
List the prime factors of 7618.
2, 13, 293
List the prime factors of 377.
13, 29
List the prime factors of 10486.
2, 7, 107
What are the prime factors of 691?
691
What are the prime factors of 586?
2, 293
What are the prime factors of 12215?
5, 7, 349
What are the prime factors of 550?
2, 5, 11
List the prime factors of 4053.
3, 7, 193
List the prime factors of 80335.
5, 16067
What are the prime factors of 10470?
2, 3, 5, 349
List the prime factors of 40399.
71, 569
What are the prime factors of 595?
5, 7, 17
What are the prime factors of 55413?
3, 47, 131
List the prime factors of 1448.
2, 181
List the prime factors of 6825.
3, 5, 7, 13
What are the prime factors of 995?
5, 199
List the prime factors of 39318.
2, 3, 6553
What are the prime factors of 101209?
101209
List the prime factors of 2631.
3, 877
List the prime factors of 7717.
7717
What are the prime factors of 89380?
2, 5, 41, 109
What are the prime factors of 33213?
3, 11071
What are the prime factors of 44721?
3, 4969
List the prime factors of 899.
29, 31
List the prime factors of 29520.
2, 3, 5, 41
What are the prime factors of 870?
2, 3, 5, 29
What are the prime factors of 2550?
2, 3, 5, 17
List the prime factors of 2551.
2551
List the prime factors of 661.
661
List the prime factors of 3090.
2, 3, 5, 103
What are the prime factors of 20073?
3, 6691
What are the prime factors of 27810?
2, 3, 5, 103
List the prime factors of 3831.
3, 1277
What are the prime factors of 1560?
2, 3, 5, 13
List the prime factors of 11547.
3, 1283
What are the prime factors of 6001?
17, 353
What are the prime factors of 12438?
2, 3, 691
List the prime factors of 305.
5, 61
List the prime factors of 134784.
2, 3, 13
What are the prime factors of 69314?
2, 7, 4951
List the prime factors of 392.
2, 7
What are the prime factors of 422?
2, 211
List the prime factors of 7586.
2, 3793
List the prime factors of 68322.
2, 3, 59, 193
What are the prime factors of 43716?
2, 3, 3643
List the prime factors of 37385.
5, 7477
List the prime factors of 14251.
14251
List the prime factors of 25887.
3, 8629
What are the prime factors of 37078?
2, 18539
List the prime factors of 74416.
2, 4651
List the prime factors of 6989.
29, 241
List the prime factors of 4542.
2, 3, 757
What are the prime factors of 7545?
3, 5, 503
What are the prime factors of 1264?
2, 79
List the prime factors of 14944.
2, 467
List the prime factors of 19332.
2, 3, 179
List the prime factors of 37947.
3, 7, 13, 139
What are the prime factors of 47520?
2, 3, 5, 11
List the prime factors of 8654.
2, 4327
What are the prime factors of 811?
811
What are the prime factors of 1869?
3, 7, 89
What are the prime factors of 342?
2, 3, 19
What are the prime factors of 178?
2, 89
List the prime factors of 1822.
2, 911
What are the prime factors of 3116?
2, 19, 41
What are the prime factors of 29971?
17, 41, 43
What are the prime factors of 8835?
3, 5, 19, 31
What are the prime factors of 702?
2, 3, 13
List the prime factors of 10456.
2, 1307
List the prime factors of 695.
5, 139
What are the prime factors of 170611?
7, 24373
List the prime factors of 3082.
2, 23, 67
What are the prime factors of 753?
3, 251
List the prime factors of 22417.
29, 773
What are the prime factors of 410?
2, 5, 41
What are the prime factors of 3282?
2, 3, 547
What are the prime factors of 778?
2, 389
What are the prime factors of 2916?
2, 3
What are the prime factors of 61090?
2, 5, 41, 149
List the prime factors of 31497.
3, 10499
List the prime factors of 25771.
25771
What are the prime factors of 24303?
3, 8101
What are the prime factors of 3648?
2, 3, 19
List the prime factors of 16818.
2, 3, 2803
List the prime factors of 40547.
13, 3119
List the prime factors of 499.
499
What are the prime factors of 2420?
2, 5, 11
What are the prime factors of 3400?
2, 5, 17
What are the prime factors of 9042?
2, 3, 11, 137
What are the prime factors of 9799?
41, 239
What are the prime factors of 10964?
2, 2741
What are the prime factors of 96?
2, 3
What are the prime factors of 8400?
2, 3, 5, 7
List the prime factors of 1360.
2, 5, 17
What are the prime factors of 9909?
3, 367
List the prime factors of 71777.
71777
List the prime factors of 35055.
3, 5, 19, 41
What are the prime factors of 2681?
7, 383
What are the prime factors of 21803?
21803
What are the prime factors of 29736?
2, 3, 7, 59
What are the prime factors of 128199?
3, 151, 283
List the prime factors of 7129.
7129
What are the prime factors of 649?
11, 59
List the prime factors of 32770.
2, 5, 29, 113
What are the prime factors of 25470?
2, 3, 5, 283
List the prime factors of 527.
17, 31
List the prime factors of 961.
31
What are the prime factors of 989?
23, 43
What are the prime factors of 3181?
3181
What are the prime factors of 26940?
2, 3, 5, 449
What are the prime factors of 18457?
18457
List the prime factors of 19493.
101, 193
List the prime factors of 286.
2, 11, 13
List the prime factors of 78664.
2, 9833
List the prime factors of 31261.
43, 727
What are the prime factors of 1601?
1601
List the prime factors of 256.
2
List the prime factors of 2163.
3, 7, 103
List the prime factors of 333.
3, 37
List the prime factors of 9390.
2, 3, 5, 313
List the prime factors of 16728.
2, 3, 17, 41
List the prime factors of 2344.
2, 293
List the prime factors of 91743.
3, 53, 577
List the prime factors of 3334.
2, 1667
What are the prime factors of 7199?
23, 313
List the prime factors of 27929.
11, 2539
What are the prime factors of 1966?
2, 983
List the prime factors of 18088.
2, 7, 17, 19
What are the prime factors of 1219?
23, 53
List the prime factors of 7767.
3, 863
What are the prime factors of 617?
617
List the prime factors of 3854.
2, 41, 47
What are the prime factors of 100808?
2, 12601
What are the prime factors of 77851?
127, 613
What are the prime factors of 50994?
2, 3, 2833
List the prime factors of 143461.
143461
What are the prime factors of 24004?
2, 17, 353
List the prime factors of 465.
3, 5, 31
List the prime factors of 116.
2, 29
List the prime factors of 127.
127
What are the prime factors of 13933?
13933
What are the prime factors of 3717?
3, 7, 59
What are the prime factors of 31979?
113, 283
List the prime factors of 10294.
2, 5147
List the prime factors of 3649.
41, 89
What are the prime factors of 81519?
3, 29, 937
What are the prime factors of 13211?
11, 1201
List the prime factors of 1215.
3, 5
List the prime factors of 16727.
43, 389
What are the prime factors of 38898?
2, 3, 2161
What are the prime factors of 20098?
2, 13, 773
List the prime factors of 35951.
35951
List the prime factors of 1366.
2, 683
List the prime factors of 2402.
2, 1201
What are the prime factors of 27167?
7, 3881
List the prime factors of 1083.
3, 19
What are the prime factors of 74978?
2, 37489
What are the prime factors of 725?
5, 29
What are the prime factors of 3855?
3, 5, 257
What are the prime factors of 17149?
11, 1559
List the prime factors of 4597.
4597
List the prime factors of 68457.
3, 19, 1201
What are the prime factors of 699?
3, 233
List the prime factors of 96699.
3, 32233
What are the prime factors of 55389?
3, 37, 499
List the prime factors of 10877.
73, 149
What are the prime factors of 89873?
7, 37, 347
What are the prime factors of 42232?
2, 5279
What are the prime
|
{
"pile_set_name": "DM Mathematics"
}
|
61. Round z to one dp.
-1.3
Let o = -14589.34 + 14714. Round o to the nearest integer.
125
Let m = 383.9999995892 + -384. Round m to 7 decimal places.
-0.0000004
Suppose 4*b = 3*d + 671594, -14*b - 671598 = 3*d - 17*b. Round d to the nearest ten thousand.
-220000
Let a = 34294.000016142 + -34294. What is a rounded to six decimal places?
0.000016
Let w = -21777.5829 + 21779. Let f = w + -0.1681. What is f rounded to 1 decimal place?
1.2
Let w = 172893 - 172916.0047. Let q = -23.25 - -0.25. Let n = q - w. What is n rounded to 3 dps?
0.005
Let h = 466.7744 + -467. Let c = h - -0.11. Round c to one decimal place.
-0.1
Let t(k) = -2*k**2 + 8*k + 40. Let s be t(-5). Let x = 448 + s. What is x rounded to the nearest 10?
400
Let y(j) = -j - 8. Let k be y(-10). Suppose 5*b - 3*l = -914611, -3*l + k = -4. Let z = -65921 - b. What is z rounded to the nearest ten thousand?
120000
Let p = -62 + 158. Let y = p + -97.05. Let k = y - 6.45. What is k rounded to the nearest integer?
-8
Let l = -43 - -46. Let x = 13 + -11. Suppose -l*n + x*p - 27190 = n, -5*p = 25. Round n to the nearest 1000.
-7000
Let o = -1.58 - -65.58. Let t = o - 65.25. Round t to one decimal place.
-1.3
Let v = 7670.0369984 + -7670. Let t = 0.037 - v. What is t rounded to six dps?
0.000002
Let l = 310 + -322. Let h be 24720*12*(-150)/l. Round h to the nearest one hundred thousand.
3700000
Suppose -767198 = 71*b - 9750828. Round b to the nearest ten thousand.
130000
Let u = 11.350738 + -0.174638. Let f = u + -11.2. What is f rounded to 2 dps?
-0.02
Suppose -3*v - 2732580000 = -4*v - 89*v. Round v to the nearest one million.
30000000
Let i = 2375 + -2374.3285. Let b = i - -0.0725. Round b to 1 dp.
0.7
Let v = -0.467 + 0.43. Let b = -0.0393 - v. Round b to 4 dps.
-0.0023
Let a = 87.8 + -100. Let q = a + 19. Let k = 6.80081 - q. What is k rounded to four decimal places?
0.0008
Let h(m) be the second derivative of -217777*m**4/12 - m**3/6 - 36*m**2 + 289*m. Let d be h(-9). Round d to the nearest one million.
-18000000
Let k = -5247.1 + 5014. Let q = 13.1 + k. Let i = q - -217.27. What is i rounded to the nearest integer?
-3
Let f = -47504 - -47561.542. What is f rounded to one dp?
57.5
Let y = -2202877.2198845 - -0.2198845. Let t = y - -2202870.999593. Let n = t + 6. What is n rounded to four decimal places?
-0.0004
Let q = -488.35 - -5.45. Let d = q + -5.1. Let h = d - -488.523. Round h to two dps.
0.52
Let v = -6 + 83. Let u = 46 - v. Let q = u + 31.00005. Round q to 4 decimal places.
0.0001
Suppose 2*w + d + 26467 = 0, -5*w - 66175 = -19*d + 14*d. What is w rounded to the nearest 1000?
-13000
Let t = 15020 + -15020.00007181. Round t to 6 decimal places.
-0.000072
Let q(c) = c**2 + 4*c + 254870. Let h be q(0). Round h to the nearest 1000.
255000
Suppose 2*r = -5*t - 26, -2*t + 7*r - 2*r = 22. Let w be (3/t)/((-5)/30) + 744. Round w to the nearest one hundred.
700
Let w = 18.7 - -8.8. Let n = 18.2 - w. Round n to the nearest integer.
-9
Let m = 0.0184 - 401.2884. Let i = -392 - m. What is i rounded to one decimal place?
9.3
Let p = 866.013 - 866. Let q = p + -0.012998518. Round q to 7 dps.
0.0000015
Let i = -10089816.0191 + 10090577. Let j = 761 - i. What is j rounded to 3 dps?
0.019
Let w = -1705.7 - -1637. Let i = w + 66. Let b = -2.6992 - i. What is b rounded to three decimal places?
0.001
Let m = 0.03554 - -146.66446. What is m rounded to the nearest 10?
150
Let w = 1708.3 + 85.7. Let o = 1801.336 - w. Let r = -7 + o. Round r to 2 decimal places.
0.34
Suppose 0 = -6*l - 3*l + 45. Suppose -3*a - 8 = -4*f, -2*f = l*a + 36 - 14. Let d be ((-16)/20)/((f*2)/40). Round d to the nearest 10.
20
Let q = 8.5493 + -8.5492953361. What is q rounded to six decimal places?
0.000005
Let a be (-1*1)/((-4 + 0)/(-152)). Let d = 40 + a. Suppose 4*m = -5*f - 4849984, -5*f + d*m - 4850016 = -2*m. Round f to the nearest 100000.
-1000000
Let k be -369 - (6 - 4)*(-4 + 3). Round k to the nearest integer.
-367
Let b = -647 + 676.2. Let w = 29.19751 - b. Round w to four dps.
-0.0025
Let k(j) = 2*j**3 - 25*j**2 - 13*j + 7. Let h be k(14). Suppose -6*f + 931 = -h. Round f to the nearest 100.
200
Let w(m) = -103*m**3 + 5*m**2 + 2*m + 10. Let h be (6/5)/(2/5). Let l be (-80)/(-48)*h*-1. Let t be w(l). What is t rounded to the nearest ten thousand?
10000
Let t = -0.01318 + 0.09508. Round t to three decimal places.
0.082
Let f = 1028038.18468 - 5.88468. Let b = f + -1028024.600039. Let z = 7.7 - b. What is z rounded to five decimal places?
0.00004
Let h(a) = -8 + 2*a + 7*a + 3 + 3 - 3*a**2. Let x be h(7). What is x rounded to the nearest ten?
-90
Let n = -14060.842 + 14130. Round n to 0 dps.
69
Let w = -0.56488549 + 0.05490929. Let c = -41.51 - -41. Let d = w - c. What is d rounded to 6 decimal places?
0.000024
Let g = -932.3 - -932.29997723. What is g rounded to six dps?
-0.000023
Let f = 0.045 - -0.245. Let l = 0.595 - f. Round l to one dp.
0.3
Let g = -3.718 + 75.518. What is g rounded to the nearest ten?
70
Let q be (-24)/(-18)*51977928/32. Let v = q - 3640747. Round v to the nearest one hundred thousand.
-1500000
Suppose -3*m + 46 = -38. Suppose -11*y - 2*b + 448006 = -7*y, 0 = 3*y - 3*b - 335991. Suppose -y = -24*u + m*u. Round u to the nearest 1000.
-28000
Let k = 51 - -2. Let y = 53.23 - k. Let m = 0.229958 - y. What is m rounded to five dps?
-0.00004
Let d(n) = 3*n**2 - 1. Let b be d(-1). Suppose -5*o - b*v + v = -32103, -4*v + 12 = 0. Round o to the nearest one thousand.
6000
Let i(z) = 27544*z**2 + 95*z + 485. Let j be i(-5). What is j rounded to the nearest 1000?
689000
Let n = 10.70190142 - 65.49222052. Let u = n + 54.79. What is u rounded to 5 dps?
-0.00032
Let r = -789 + 529. Let w be (-6)/(-33) + r/(-22). Suppose -w*x + 5*x + 79800 = 0. What is x rounded to the nearest one thousand?
11000
Let c(w) = 1115*w - 1610780. Let f be c(0). What is f rounded to the nearest one hundred thousand?
-1600000
Let z = 3248424846 + -3248424089.9999915. Let c = z - 756. Round c to seven decimal places.
0.0000085
Let s = -4826325 - -4823626.5233. Let d = 2609.4766615 + s. Let z = -89 - d. Round z to 6 dps.
0.000039
Let s = 5328 + -5328.000013144. Round s to seven dps.
-0.0000131
Let f be 3*(-5 - 85/(-15)). Suppose 0 = -q - 5*n + 12, n = -f*n + 15. Let w be (476250/8)/(q/832). What is w rounded to the nearest 1000000?
-4000000
Let z = 6.5 - -332.5. Let u = 339.0153 - z. Round u to three dps.
0.015
Let q = 2.903 + -2.90322825. Round q to 5 decimal places.
-0.00023
Let d = 915 + -858.3. Let r = d + -374.7. Let n = 304.7 + r. What is n rounded to zero decimal places?
-13
Let v = -1.406 - -0.7. Let y = 31.806 + v. Round y to the nearest ten.
30
Let z = -0.5 + 0.437. Let f = z - -0.0741. Round f to two dps.
0.01
Suppose -2*w = -44057 - 52583. Suppose 0 = 37*m - 74*m + 3526840. Let z = w - m. Round z to the nearest ten thousand.
-50000
Let s = -27480.12 - -28146. What is s rounded to the nearest integer?
666
Let c = 0.6807 + -0.6833078. Round c to 4 dps.
-0.0026
Let q(s) = 261927*s**2 - 15*s - 35. Let o be q(-6). Suppose 573427 - o = 18*d. What is d rounded to the nearest one hundred thousand?
-500000
Let z = 7836560 + 11098440. What is z rounded to the nearest one hundred thousand?
18900000
Let g = 8938.0000006652 + -8938. What is g rounded to 7 decimal places?
0.0000007
Let i(w) = 31997*w**2 - 11*w - 10. Let x = -199 + 197. Let s be i(x). Round s to the nearest ten thousand.
130000
Let n = -87921.905 - 59436941.095. Let t = n + 59524863.116000252. Let z = t + -0.116. Round z to 7 dps.
0.0000003
Let f = -131930955.0998338 + 131930944. Let y = -11.1 - f. What is y rounded to five dps?
-0.00017
Let b = -22.297 + 22.242164. Round b to four dps.
-0.0548
Let t = -3964441 + 3964454.9999424. Let z = -14 + t. What is z rounded to 6 dps?
-0.000058
Suppose 2*i + 6 = -4*i. Let c be -1892 - ((-24)/21 - i/7). What is c rounded to the nearest 100?
-1900
Let d = 12.001971 + -11.902. Let j = -2.41 - -2.31. Let b = d + j. Round b to five decimal places.
-0.00003
Let t = -0.0154 + -0.0506. Let p = 0.0660135 + t. What is p rounded to 5 dps?
0.00001
Let w = 190 + -190.059. Let j = 0.06052 + w. What is j rounded to four dps?
0.0015
Let g be 10 - (1 + 6 - 2). Suppose a = -5*w + 291, a + 0*a - g*w = 311. What is a rounded to the nearest 10?
300
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon divisor of z and 28?
7
Suppose -2*p + 65 = -d, 50 = 3*p - 3*d - 55. Let b = p + -22. What is the highest common divisor of 8 and b?
8
Let r = 47 - -51. Suppose -5*v = -2*g + 50, -r = 3*g - 8*g - v. What is the highest common factor of g and 10?
10
Suppose 3 + 4 = w. What is the greatest common divisor of 21 and w?
7
Let y(z) = z**2 + 7*z - 2. Let k be y(-8). Let o = k + -9. Let a = o + 4. What is the highest common factor of 4 and a?
1
Suppose 5*k + 1 = 6. Suppose -5*v - c + 8 = 2*c, 0 = 2*v - 3*c + 1. Let s(w) = 3*w. Let x be s(v). Calculate the greatest common factor of k and x.
1
Suppose -7 = 3*w - 94. Calculate the greatest common divisor of w and 87.
29
Let a be (-4)/(-1 - 21/(-18)). Suppose -5*d = -2*t - 1 - 1, -2*t = -4*d. Let o be ((-32)/6)/(d/a). Calculate the highest common factor of o and 16.
16
Suppose 2*g = 2*b - 36 - 2, 52 = 2*b + 5*g. Calculate the highest common divisor of b and 63.
21
Suppose -6*d - 143 + 413 = 0. Let w be (-4)/6*15/(-2). Calculate the greatest common factor of w and d.
5
Let f(l) = -l + 3. Let n be f(3). Let d be (n/3)/(-3) + 3. Suppose 7*b - 180 = d*b. What is the greatest common factor of 18 and b?
9
Let n = 9 + 3. Suppose -151 = 5*o + 4*z, -z + 20 = -3*o - 57. Let h be (152/57)/((-2)/o). Calculate the highest common factor of h and n.
12
Let g(z) = 6*z**2 + 2*z + 1. Let b be g(-2). Let c = b - 1. Calculate the highest common divisor of c and 80.
20
Let k = 173 + -170. Calculate the greatest common factor of 6 and k.
3
Suppose 3*w = 7*w - 8. Suppose -w*f - 2*p = -34, 6*p - 2*p - 8 = -f. What is the highest common divisor of 10 and f?
10
Let w(k) = -4*k**3 + k + 1. Let n be w(-1). Let s(g) = -g**3 + 4*g**2 + 7*g - 6. Let t be s(n). What is the highest common divisor of 132 and t?
22
Let x = 133 + -78. Suppose 2*z - 4*a - 2 = 0, -4*z + 4*a + a + 19 = 0. What is the greatest common factor of x and z?
11
Let u(i) = 11*i + 8. Let s(q) = -10*q - 7. Let y(h) = 6*s(h) + 5*u(h). Let k be y(-4). Calculate the greatest common divisor of k and 12.
6
Let u be 66/14 + 2/7. Let t(m) = m - 3. Let p be t(6). Suppose f - 2*s = u + 3, 0 = p*s - 15. What is the greatest common divisor of f and 3?
3
Let p = 18 + -31. Let y be p/((-1)/(-2)*-2). Suppose 4*x = 2*x + 78. What is the greatest common factor of x and y?
13
Suppose 0 = m - 0 + 3, -2 = 5*z + 4*m. Calculate the greatest common divisor of 6 and z.
2
Suppose 2*s + 300 = 3*h, -7*s + 5*s = 0. Calculate the greatest common divisor of 250 and h.
50
Let n = -5 + 23. What is the greatest common divisor of n and 6?
6
Let d = 128 + -35. What is the highest common divisor of d and 31?
31
Let i be -6 - -6 - (-1 + -1). Suppose 0 = 4*x + 2 + i, -10 = -3*q + x. Suppose -q*m - m + 32 = 0. Calculate the highest common factor of m and 24.
8
Let j(a) = a**2 + 10*a - 14. Let l be j(-11). Let m be (20/l)/((-4)/6). Calculate the greatest common divisor of 110 and m.
10
Let c be 2 - (0 - (29 + -2)). Let q = c + -14. Let i be 75/(-2)*(4 - 6). What is the greatest common factor of q and i?
15
Suppose -3*h - 5*o = 12, 4*h - o + 16 = -0*o. Let j be 2/(-4) + (-42)/h. What is the highest common factor of 80 and j?
10
Suppose -3*f = -50 + 263. Let x = f + 49. Let q = x + 49. What is the greatest common factor of q and 3?
3
Suppose -172 = -3*j - 5*c, j = 5*c + 58 - 14. Calculate the greatest common factor of j and 18.
18
Suppose y + 5*x - 28 = 0, x = -4*y - x + 22. Suppose -46 = -2*c + y*g, 3*g + 63 = 2*c + c. Calculate the highest common factor of c and 187.
17
Let m be 43/2 - (-3)/6. Suppose -f - 3*d = -6 - 1, -f + 47 = -5*d. Calculate the greatest common factor of f and m.
22
Suppose -n - 4*n - 32 = -2*x, 2*x - 48 = n. What is the greatest common factor of x and 286?
26
Let v(n) = 9*n**2 + 3*n. Let c be (-6)/(-8)*(-8)/2. Let j be v(c). Let b(t) = 7*t - 15. Let h be b(9). What is the greatest common divisor of j and h?
24
Let j(q) = q**2 - 6*q. Let g be j(7). Suppose -g = -4*s - 3. Calculate the greatest common factor of 3 and s.
1
Let m = 29 + -15. Suppose 2*z - m = 2. Let h(r) = -6*r - 16. Let s be h(-3). What is the highest common divisor of z and s?
2
Let h be ((-36)/10)/((-1)/5). Let k be -2*h/8*-28. Calculate the greatest common divisor of k and 14.
14
Suppose 29 = 4*x + 3*j - 13, 0 = 2*x - 2*j - 28. Let h be 196/9 - x/(-54). What is the greatest common divisor of 242 and h?
22
Let i be (-148)/(-8) - 1/(-2). Let j = 63 - 44. What is the highest common divisor of j and i?
19
Let h(x) = -x + 10. Let v be h(5). Suppose q = -4*a + 50, -271 = -v*q + 4*a - 3*a. Calculate the greatest common factor of q and 36.
18
Let d(v) = 6*v + 24. Let i be d(7). Suppose -10*b + 12*b = 22. What is the greatest common factor of b and i?
11
Let o(w) = 2*w**3 + 3*w**2 - 1. Let l be o(2). Let a = 10 + 11. Suppose -l = -f + a. What is the greatest common factor of 6 and f?
6
Let c be 33/(-2) - (-2)/(-4). Let i(r) = r**2 + 14*r + 9. Let a be i(c). What is the greatest common factor of 24 and a?
12
Let w(x) = 9*x**2 - 1. Let q be w(-2). Let r(p) = -72*p - 1. Let a be r(-1). Let f = a - q. What is the greatest common divisor of 12 and f?
12
Suppose 3*i = i. Let f be 2 - (1 - -1 - i). Let t(w) = -w**3 + w**2 - w + 17. Let z be t(f). What is the highest common factor of 153 and z?
17
Let v(f) = 3*f**3 - 2*f**2 - f - 2. Let j be v(2). What is the highest common divisor of 4 and j?
4
Suppose 2*r - r = 15. Let m be (-5)/3 - 190/(-6). What is the highest common factor of m and r?
15
Let b be (-7 - -8)*1*16. Suppose 0 = -0*c - 4*c - 8, c - 4 = -3*n. Let o be ((-160)/6)/(n/(-6)). Calculate the highest common factor of o and b.
16
Suppose -5*w + 4*w - 5 = 4*x, 3*x = 2*w - 12. Let k = w - 1. Suppose o - k*o = -12. What is the highest common divisor of 96 and o?
12
Suppose 0 = 4*c + 4 + 8. Let u(s) = -s - 2. Let p be u(c). Let o be 4/(4/14*p). Calculate the greatest common divisor of 98 and o.
14
Let o = -4 + 2. Let k(p) = -p**3 - p. Let x(b) = 3*b**3 - 3*b**2 - 5*b. Let u(d) = 3*k(d) - x(d). Let g be u(o). Calculate the highest common factor of g and 8.
8
Suppose -8 = i - w, -i = -0*i - 5*w + 24. Let z = 16 - i. Calculate the highest common factor of z and 50.
10
Let h = -10 - -11. What is the highest common factor of 11 and h?
1
Suppose b = -2*o - 4*b + 20, -3*o - 3*b + 21 = 0. Calculate the greatest common factor of o and 5.
5
Suppose 4*h + 89 = 5*h + i, -2*h = 5*i - 193. What is the greatest common factor of 12 and h?
12
Suppose -5*k - 3*y + 6 + 5 = 0, 5*y - 12 = -2*k. Calculate the greatest common factor of k and 11.
1
Suppose 3*r + 4*h - 26 = 0, 0*r + 2*r - 22 = -5*h. Let p be 25*12/160*8. What is the greatest common factor of r and p?
3
Suppose 2*z - 3*z = 2. Let j = -4 - -5. Let u be j/(1*z/(-18)). What is the highest common factor of u and 72?
9
Suppose -7 = x - 5*b, -3*x + 2*b + 18 = -0*x. Let c = -5 - -17. What is the greatest common divisor of x and c?
4
Let f(u) = -3*u. Let o be f(-2). Let g(h) = h**2 + 5*h + 3. Let s be g(-6). Calculate the greatest common factor of s and o.
3
Suppose 0 = -r - 2*l + 2, 3*r - 6 = -3*l - 0*l. Suppose 3 = 3*w, -p - r*w - 3*w = -30. What is the highest common factor of p and 10?
5
Let y(i) = 3*i**2 + 21*i + 10. Let q be y(-12). What is the greatest common factor of q and 19?
19
Let a(o) = -o + 11. Let h be a(9). Suppose 2*i = -h*i + u + 40, 2*u = 0. Calculate the greatest common factor of 10 and i.
10
Suppose 0 = 8*b + 67 - 307. Calculate the greatest common factor of b and 3.
3
Let l(o) = -4*o - 2*o + 2 + 7*o + 9. Let u be l(10). Suppose f - u = 18. What is the highest common factor of f and 26?
13
Suppose 0 = s - 5 - 0. Suppose 2*t + i + 4 = -2*i, 0 = -5*t + s*i + 40. Suppose -2*l + 7 = t*m - 29, 2*m = -2. What is the greatest common divisor of l and 30?
10
Let j(u) = -u**3 - 6*u**2 - 5*u + 5. Let r be j(-5). Suppose -2*w + r*w = 21. Calculate the greatest common factor of w and 7.
7
Let v(u) = u**3 - 3*u**2 - 8*u + 3. Let y be v(5). Calculate the greatest common divisor of y and 39.
13
Let u be (0 - (-14 + 0))/2. Let g = 70 - -43. Suppose -2*c + u = -g. What is the greatest common divisor of 15 and c?
15
Let d = 9 + 7. Suppose -188 = 4*i + 4*k, 5*i - 4*k + 334 = 99. Let c = i - -87. Calculate the highest common divisor of c and d.
8
Suppose -165 = -h + 4*l, -4*l + 78 + 79 = h.
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let x(a) be the first derivative of a**6/360 - 98*a**3/3 + 57. Let f(n) be the third derivative of x(n). Calculate f(r(v)).
625*v**4 - 150*v**2 + 9
Let w(z) = 3*z**2 + 26*z**2 + z**2 - 46*z**2 + 5*z**2 + 9*z**2. Let l(i) be the second derivative of -3*i**3/2 - i**2 - 3*i. What is w(l(f))?
-162*f**2 - 72*f - 8
Let b(x) = 356*x**2 + 1. Let k(v) be the third derivative of v**4/8 - 931*v**2. Calculate b(k(n)).
3204*n**2 + 1
Let u(x) be the third derivative of x**4/24 - 23*x**3/2 - 221*x**2 - 2. Let m(l) = -4*l**2. What is m(u(w))?
-4*w**2 + 552*w - 19044
Let a(t) = 3*t - 2. Let u be (-2 - -14)*17/102. Let l(z) = -11*z + 9. Let n(x) = u*l(x) + 9*a(x). Let b(p) = -9*p. Calculate b(n(f)).
-45*f
Let z(g) = 2*g. Let d(w) = 10593467*w**2. Give d(z(h)).
42373868*h**2
Let i(v) = 2 - 295*v + 141*v + 142*v. Let a(q) = 35*q. Determine a(i(p)).
-420*p + 70
Let q(c) = -21*c + 2. Let s(a) be the first derivative of -3*a**2 - 1235. Calculate q(s(d)).
126*d + 2
Let v(h) = 19*h. Suppose -2*w - 138 = -2*s, 0 = 2*w + 21 - 13. Let j(y) = -42 + s - 23 + 2*y. Determine j(v(p)).
38*p
Let j(h) = 3*h**2 + 13*h - 8. Let c be j(-5). Let x(a) = 48*a**2 + 90*a**c + 106 - 216 + 109. Let n(s) = -s. What is x(n(y))?
138*y**2 - 1
Let r(d) = -17084*d. Let b(x) = -3415*x. Give r(b(m)).
58341860*m
Let d(c) = -2*c. Let o be 3/9 - 14/(-3). Let f(i) = -25 - 30 - 28 + 112 - 22 + 3*i**2. Let v(q) = 2*q**2 + 5. Let u(h) = o*f(h) - 7*v(h). Determine u(d(z)).
4*z**2
Let j(i) = -26*i + 165. Let p(m) = 30*m - 164. Let h(w) = -5*j(w) - 4*p(w). Let n(f) = -7*f + 113. Let r(y) = -5*h(y) - 7*n(y). Let t(k) = k. What is t(r(g))?
-g + 54
Let v(c) = -2*c - 262865*c**2 + 131437*c**2 + 2*c + 131432*c**2. Let d(w) be the first derivative of -2*w**3/3 - 1. What is d(v(a))?
-32*a**4
Let o(v) be the third derivative of v**4/8 + 2*v**2. Let n(j) be the second derivative of -37*j**3/2 - 4*j - 366. Determine o(n(s)).
-333*s
Let v(t) be the third derivative of -t**8/10080 - t**5/20 + t**3/6 + 25*t**2. Let h(d) be the third derivative of v(d). Let j(y) = -14*y. What is j(h(k))?
28*k**2
Let m(q) = 65*q - 8967. Let l(o) = -16*o + 2196. Let p(z) = 49*l(z) + 12*m(z). Let b(s) be the first derivative of s**2/2 - 1. Determine p(b(t)).
-4*t
Let x(v) be the first derivative of -8*v**3/3 + 4*v - 106. Let j be 28/8*12/14. Let l(o) = 2*o**2 - 7*o + j*o + 4*o. Calculate l(x(p)).
128*p**4 - 128*p**2 + 32
Let q(u) = -7*u**2. Let k(z) = -1367 - 1371 + 81*z - 1377 + 4115. Give k(q(l)).
-567*l**2
Let i(l) be the first derivative of -3152*l**3/3 - 1763. Let y(a) = 3*a**2. Determine y(i(h)).
29805312*h**4
Let a(f) = -45*f**2. Let x(m) = -24129157*m. What is x(a(n))?
1085812065*n**2
Let z(o) = -o. Let d(s) = 231*s**2 - 7350*s. Determine d(z(w)).
231*w**2 + 7350*w
Let x(n) = -84*n**2. Let w(z) = -30*z**2 + 27*z + 81. Let j(d) = -d**2 + d + 3. Let s(l) = 27*j(l) - w(l). Determine s(x(q)).
21168*q**4
Let i(r) = 2659272*r - 7040. Let w(h) = -9076*h + 24. Let t(o) = -3*i(o) - 880*w(o). Let y(d) = -d**2. What is t(y(f))?
-9064*f**2
Let k(o) be the first derivative of 351*o**2/2 + 1332. Let c(v) = -5*v. Calculate c(k(a)).
-1755*a
Let i(v) = -2. Let p(k) = -2*k + 4. Let n(d) = -4*i(d) - 2*p(d). Let s(g) = -509*g. Determine s(n(u)).
-2036*u
Let m(w) be the first derivative of w**2/2 - 4374. Let x(a) = -9629*a. Determine x(m(y)).
-9629*y
Let p(s) = -84*s - 85. Let u(m) = -10*m - 10. Let t(g) = 6*p(g) - 51*u(g). Let w(d) = -101*d. Calculate t(w(z)).
-606*z
Let o(u) = -882*u + 2. Let s(n) = 1322*n - 3. Let h(w) = -3*o(w) - 2*s(w). Let v(d) be the first derivative of 1/2*d**2 - 1 + 0*d. Give v(h(r)).
2*r
Let r(q) = -2*q. Let b(m) = 11333285*m. What is b(r(s))?
-22666570*s
Let q(o) = 13*o**2. Let v(h) = 2*h + 57373. Give v(q(f)).
26*f**2 + 57373
Let f(t) = t. Let p = 223 + -184. Let h(q) = -20*q**2 - 39 + p - 11*q**2. Give f(h(y)).
-31*y**2
Let r(o) = 3*o. Let p(i) = -4*i. Let b(u) = 4*p(u) + 5*r(u). Let c(x) = 1. Let z(m) = -3*m - 43 + 20 + 30. Let g(l) = 5*c(l) - z(l). What is b(g(t))?
-3*t + 2
Let o(i) be the second derivative of -11*i**6/720 - i**5/60 - 85*i**4/12 - 29*i. Let b(u) be the third derivative of o(u). Let x(k) = 2*k. Calculate b(x(a)).
-22*a - 2
Let l(j) = -64*j - 720. Let s(c) = c + 18. Let f(o) = 4*l(o) + 160*s(o). Let x(a) = -39*a**2. Calculate f(x(v)).
3744*v**2
Let a(b) be the second derivative of 4*b**3/3 - 2*b + 215. Let c(z) be the first derivative of -2*z**3 - 1. Calculate a(c(i)).
-48*i**2
Let i(q) = 2*q - 4. Let m(a) = a - 3. Let x = 53 + -56. Let j(b) = x*i(b) + 4*m(b). Let p(g) = -31*g + 1. Give p(j(r)).
62*r + 1
Let h(q) = q. Let p(d) = -70*d**2 + 9516*d + 11. Calculate p(h(r)).
-70*r**2 + 9516*r + 11
Let r(u) = -44316*u**2. Let i(y) = -268*y**2 + 2. Determine i(r(x)).
-526327305408*x**4 + 2
Let o(v) = -1832*v. Let l(w) = -2*w**2 - w + 8. Let h(j) = 13*j**2 + 6*j - 48. Let p(n) = -h(n) - 6*l(n). Calculate o(p(k)).
1832*k**2
Let y(a) be the second derivative of 0*a**2 + 0*a**3 - 13*a - 6 - 1/6*a**4. Let u(h) = 272*h**2. Give u(y(v)).
1088*v**4
Suppose 0 = -10*i - 5*i + 60. Suppose 0 = -2*l + 5*w + 18, i - 16 = -5*l - 4*w. Let b(f) = -l*f**2 + 1926*f - 1926*f. Let j(p) = 9*p. Calculate b(j(m)).
-324*m**2
Let l(q) = 3*q. Let y(i) = 193*i + 348*i + 695*i - 129*i. What is y(l(r))?
3321*r
Let m(v) = -8*v**2 + 0*v - 9 + 0*v. Let g(c) = 5302*c**2 - 2819*c**2 - 2485*c**2. Give m(g(d)).
-32*d**4 - 9
Let r(v) be the first derivative of v**3/3 + 4. Let x(t) be the second derivative of -t**4/4 - 6*t**3 + 1577*t. Give r(x(p)).
9*p**4 + 216*p**3 + 1296*p**2
Let h(l) be the first derivative of -109/3*l**3 + 0*l + 0*l**2 + 130. Let b(v) = 3*v. Calculate h(b(k)).
-981*k**2
Let d(x) be the second derivative of -13*x + 1/8*x**4 + 0 + 0*x**3 + 15/2*x**2. Let j(u) be the first derivative of d(u). Let h(l) = -l**2. Calculate h(j(r)).
-9*r**2
Let p(c) = -17*c**2 + 43*c**2 - 19*c**2 - 9*c**2. Let n(s) = -4*s + 4*s - 32*s. What is p(n(m))?
-2048*m**2
Let z(a) = -380*a + 6. Let v(k) = -3*k + 111. What is v(z(r))?
1140*r + 93
Let q(m) = 70*m. Let x(r) be the third derivative of -r**7/2520 + r**5/6 + r**4/24 - 2*r**2 + 187. Let s(b) be the third derivative of x(b). Give s(q(i)).
-140*i
Let p(f) = -613976*f. Let o(h) = 25*h**2. What is p(o(g))?
-15349400*g**2
Let q(c) be the third derivative of c**4/6 + 7*c**2. Let d(r) = -106*r + 31*r + 46*r + 44*r. Determine q(d(y)).
60*y
Let n(b) = -25 + 6 + 17 - 8*b + 1. Let i(d) = -3*d. Calculate i(n(x)).
24*x + 3
Let z(u) = -348*u**2. Let i(y) = -y**2 + 9*y + 192. Let b be i(13). Let q(x) = -135*x - b*x + 273*x. Give q(z(j)).
696*j**2
Let q(l) = 3*l. Let p = -212 + 219. Let n(z) = -3*z - 2*z + p*z - 2 + 1. Give q(n(t)).
6*t - 3
Let h(s) = 21866*s**2. Let n(x) = -253318*x + 253318*x - 2*x**2. Determine h(n(b)).
87464*b**4
Let v(s) be the third derivative of -11*s**6/144 + 169*s**4/24 - 156*s**2. Let q(y) be the second derivative of v(y). Let p(c) = 2*c. Calculate p(q(w)).
-110*w
Let h(r) = r**2. Let s(j) = -4*j - 10. Let c be s(-5). Let w(z) = c*z**2 + 26 + 19 - 45. Calculate h(w(q)).
100*q**4
Let i(n) = -2*n**2. Let q(h) be the first derivative of -237*h**2/2 - 7569. Give q(i(y)).
474*y**2
Let v(i) be the second derivative of -2*i**4 + 15*i. Let z(d) = 2*d + d + 0*d - 5*d. Calculate v(z(j)).
-96*j**2
Let b(u) = 610*u. Let m(g) = -3*g + 403 - 814 + 411. Give b(m(z)).
-1830*z
Let z(f) = -146*f**2. Let c(k) be the third derivative of 0*k**4 - 1/60*k**5 + 0*k**3 + 2*k**2 - k + 0. Give z(c(t)).
-146*t**4
Let t(b) = -132*b. Let j(x) be the first derivative of -3/2*x**2 + 0*x - 111. Determine t(j(n)).
396*n
Let g(s) be the second derivative of -s**4/6 + 378*s. Let a(l) = 56*l**2. Let b(t) = 5265*t**2. Let m(c) = -189*a(c) + 2*b(c). Determine g(m(r)).
-5832*r**4
Let j(o) be the third derivative of -43*o**5/60 + o**3/3 - 165*o**2 + 4. Let c(b) = -b. Determine c(j(m)).
43*m**2 - 2
Let i(g) be the third derivative of -7*g**4/24 - 19*g**3/6 - 13194*g**2. Let h(a) = 28*a. Determine h(i(b)).
-196*b - 532
Let o be 4/6*9/6. Let c(j) = o + 11*j**2 - 1. Let i(m) = -8*m + 33. Let y(r) = 14*r - 55. Let v(k) = 5*i(k) + 3*y(k). Determine v(c(a)).
22*a**2
Let p(r) = 6*r + 3. Let j(k) = -k + 12. Let o be j(10). Let c(f) = -4 - 16 - 5*f**o + 20. Calculate c(p(q)).
-180*q**2 - 180*q - 45
Let k(y) = y**2 + 3*y + 18. Let x b
|
{
"pile_set_name": "DM Mathematics"
}
|
67. What are the prime factors of m?
2, 3
Suppose 335 = 2*z + 51. Let h = -139 + z. List the prime factors of (294 - 0) + (h - 1) + -1.
5, 59
Suppose 0 = -2*m - 4, -88361 = -4672*s + 4669*s - 5*m. What are the prime factors of s?
3, 1091
List the prime factors of (6/(-4))/(25 - 5924418/236976).
2, 4937
Let j be 24/16*(1 - -1). Let k = 483 + -472. Suppose -j*t + k = -4. List the prime factors of t.
5
Let s(b) = -4344*b - 517. List the prime factors of s(-3).
5, 2503
Suppose -27*b = -23*b - 14*b + 158270. What are the prime factors of b?
7, 17, 19
Let i = 28065 + -17922. What are the prime factors of i?
3, 7, 23
Let d = -2476 - -2601. List the prime factors of d.
5
Suppose -28*z - 4*z + 28032 = 0. Suppose -2*g - 5*u + 10*u = -z, u = 4*g - 1770. What are the prime factors of g?
443
Let z = 108 + -70. Let m = z + -36. List the prime factors of m/8 + (4 - (-3738)/24).
2, 5
Let l = -13970 + 14533. List the prime factors of l.
563
Suppose -5*k = -17*d + 16*d - 302061, 5*k + 3*d = 302097. What are the prime factors of k?
2, 3, 10069
Let j be 3/((-15)/15100)*3/(-6). Suppose 4*s = 3*o - 618 - 253, -5*o + j = 5*s. List the prime factors of o.
3, 11
List the prime factors of (5992 - 6) + -3 + -4.
3, 1993
Let z = 353 - 350. List the prime factors of (z/(-2))/(4 + (-15140)/3784).
3, 11, 43
Let m = 3873 - -439. List the prime factors of m.
2, 7, 11
Let q be (1 + 1)/((-38)/20 + 2). Let o be q/16 + (-92)/(-16). Suppose 4*b = o*b - 144. What are the prime factors of b?
2, 3
List the prime factors of 509376/30 - ((-132)/55)/3.
2, 3, 5, 283
Let s(f) = -44*f - 118. Let t be s(-15). Let h = t + -68. List the prime factors of h.
2, 3, 79
List the prime factors of 37750 - 80/(-16) - -3.
2, 3, 7, 29, 31
Let q be 4*-1*(-1199)/(-22). Let z = q + 298. List the prime factors of z.
2, 5
Let y be 10950/(-26) - 4/(-26). Let z = 818 + y. What are the prime factors of z?
397
Let x(l) = 19*l + 5397. List the prime factors of x(121).
2, 13, 37
Let o = 55 - 55. Let w be 5 + 0 - (-1 + o + 2). Suppose 71 = w*f - 409. What are the prime factors of f?
2, 3, 5
Suppose -6*z + 4 = 2*n - 2*z, 0 = n - 5*z - 16. Suppose -4*i = 4*m - 1304, -n*m = -2*i - 11*m + 664. What are the prime factors of i?
2, 7, 23
Let b be (12 + -11)/((-1)/3). What are the prime factors of (b/4)/((-42)/364)*22?
11, 13
Suppose -23*s + 18*s = z - 14364, -5*z + 20 = 0. List the prime factors of s.
2, 359
Let o = 28154 + -17937. List the prime factors of o.
17, 601
Let n = 95 + -93. Suppose -z + 500 = -4*d + n*z, -500 = 4*d - 5*z. Let q = -101 - d. List the prime factors of q.
2, 3
Let g be 0*(-2 - 5/(-2)). Suppose g = w + z - 888 + 248, 2*z = -4. What are the prime factors of w?
2, 3, 107
What are the prime factors of (((-1547)/14)/(-13) - 7)/((-2)/(-6476))?
3, 1619
Let s(m) = -6*m + 14. Let y(g) = -g**3 - 21*g**2 - 20*g - 22. Suppose -59 = -4*d - 139. Let b be y(d). What are the prime factors of s(b)?
2, 73
Suppose -2*b - 9*o = -13*o + 2, 3*b + 2*o = 29. Suppose 5*z = 3*z + 4*f + 932, 0 = -3*z - 3*f + 1443. Suppose 2380 = b*j + z. List the prime factors of j.
2, 17
Let b(m) = -12*m - 8*m - 13*m + 167 + 87*m. List the prime factors of b(4).
383
Let x(c) = -2*c - 5. Let n be x(-5). Suppose 0 = n*j - 183 - 227. Suppose -r = -0*r - j. List the prime factors of r.
2, 41
Let n(m) = -4*m**3 + 3*m**3 + 22 - 14*m**2 - 27*m + 0*m**3. Let b be ((-4)/6)/(16/288). List the prime factors of n(b).
2, 29
Suppose -8 = 4*f - 3*p - 11, f = p + 1. Suppose f = 49*j - 56*j + 6517. What are the prime factors of j?
7, 19
Let q(d) be the first derivative of -d**2/2 + 23*d - 8. Let i be q(-9). List the prime factors of i/(-80) + 322/5.
2
List the prime factors of 56567*(-26)/819*(-18)/4.
8081
Let j = 2515 + -853. Suppose 472 = 2*w + a - j, 3203 = 3*w + 2*a. List the prime factors of w.
3, 5, 71
Suppose -3*u - 4*n + 285 = -62194, -41662 = -2*u + 2*n. What are the prime factors of u?
3, 53, 131
Suppose 690598 = -3436*l + 1720*l + 1739*l. What are the prime factors of l?
2, 15013
Let g(p) = -p**2 - 17*p + 15. Suppose -4*v = -3*z - 3*v + 88, -3*z + 2*v + 83 = 0. Let x = 19 - z. List the prime factors of g(x).
3, 5
Let w(r) = -12*r + 2 + r**3 + r**2 + 7*r**2 + 2*r - 9. Let h be w(-9). Suppose 5*u - 178 = -2*q, h*u + 0*u - 8 = 0. List the prime factors of q.
79
Let w be (1/(-4) - 0) + (-213)/(-4). Let a = 135 + -180. Let j = w - a. What are the prime factors of j?
2, 7
Let c(f) = -5*f + 31. Let k be c(7). Let r be 3 - 0*k/8. Suppose -r*g = 5*g - 792. List the prime factors of g.
3, 11
Suppose -2*n + 36030 = -20*y + 15*y, 7*y + 28 = 0. What are the prime factors of n?
5, 13, 277
Let d = 25 + -17. Let r be 12/(-16) + (-50)/d*1. List the prime factors of (6*5)/((105/(-50))/r).
2, 5
Let r = 580 - 580. Suppose -m + 300 + 8 = r. List the prime factors of m.
2, 7, 11
Let v = 1598 - 937. Let a = v + -397. What are the prime factors of a?
2, 3, 11
Suppose 46*f - 975372 + 9040 = -176972. List the prime factors of f.
2, 3, 5, 11, 13
Suppose 0 = 22*g - 19*g - 804. Suppose -10*x + g = 48. What are the prime factors of x?
2, 11
Let u = -431 - -90. Let y = -204 - u. Let p = y + -55. List the prime factors of p.
2, 41
Suppose -35*q + 8260 = -7*q. Let a = 652 - q. What are the prime factors of a?
3, 7, 17
Let o(f) = 394*f + 188. Let v be o(8). Suppose -7*q + v = -3912. List the prime factors of q.
2, 7, 37
Let m(q) = -2*q**3 - 22*q**2 - 2*q - 15. Let a be m(-11). Let b = 8 + a. Suppose -10*y - 610 = -b*y. What are the prime factors of y?
2, 61
Let d = 54 - 45. Let a(i) = 5 + 10 - d + 5*i. What are the prime factors of a(6)?
2, 3
Let u(a) be the third derivative of a**6/120 - a**5/20 - 3*a**4/8 - 8*a**3/3 + 6*a**2. List the prime factors of u(9).
389
What are the prime factors of (-3)/(-2)*6410 - (-1 - 9)?
5, 7, 11
Let a(k) = -3*k - 2. Let u(f) = -1. Let c(n) = a(n) + 5*u(n). Let x be c(0). Let r(t) = -16*t + 3. List the prime factors of r(x).
5, 23
Let f be (-4)/14*1 - (-26)/91. Suppose -2*o - q + 58 + 365 = f, q = -o + 211. Suppose -w = 5*h - 2*w - o, -5*w = -h + 52. List the prime factors of h.
2, 3, 7
Let f(l) = -7*l**2 + 298*l - 76. What are the prime factors of f(33)?
5, 7, 61
Suppose -5*p + 2849 - 36581 = -2*i, 0 = -3*i - 4*p + 50506. List the prime factors of i.
2, 8423
Let b be 1/(2/(-12)*-2). Suppose -8*t + 670 = -b*t. Suppose g = -3*k + t, -3*k + g = -73 - 51. List the prime factors of k.
43
Let l = 21 - 17. Suppose -2*z + l*p = -264, 4*z + p - 161 = 322. What are the prime factors of z?
2, 61
Suppose 0 = -83*d + 87*d + 1160. What are the prime factors of d/(-6) + 6/(-18)?
2, 3
What are the prime factors of 4/(8/(-220710))*3*2/(-15)?
2, 3, 7, 1051
Let h be ((-166)/(-6))/(10/30). Suppose 1370 = 3*m + 2*k, -2*k + h = 5*m - 2207. List the prime factors of m.
2, 5, 23
Suppose -5*l + 86 = -y, 3 = -2*l + 3*y + 40. Suppose l*u = 16*u. Suppose -4*m - 6*m + 2120 = u. List the prime factors of m.
2, 53
What are the prime factors of (11 - 8)/((-9)/4) - 25928/(-6)?
2, 3, 5
Let b(i) = 46*i + 47. Let r(h) = 23*h + 23. Suppose -l + 4 = -2*n, 2*l + 4*n - 3 = 5. Let j(u) = l*b(u) - 7*r(u). What are the prime factors of j(5)?
2, 71
Suppose -162372 = -58*k - 85190 + 164620. What are the prime factors of k?
11, 379
Let u(q) = -q**3 - 18*q**2 + 19*q - 92. Suppose 40*k = 48*k + 168. List the prime factors of u(k).
2, 13
Suppose -18*m - 23208 = -2*u, -u + 5*m = -11436 - 148. What are the prime factors of u?
3, 3853
Let r = -319 - -416. Suppose -r*q + 95*q + 430 = 0. List the prime factors of q.
5, 43
Let v be 10/4*(1 + -11). Let m = -25 - v. Suppose m = g - 37 - 29. List the prime factors of g.
2, 3, 11
List the prime factors of 114/190*(-6 - -104041).
3, 20807
Let a(i) = i**3 + 8*i**2 - 17*i - 5. Let j be a(-10). Let v = 156 + j. Suppose -k + 27 + v = 0. What are the prime factors of k?
2, 37
Let s(i) = 5*i**3 + 9*i**2 - 17*i - 4. Let y(j) = -16*j**3 - 25*j**2 + 51*j + 11. Let h(u) = -7*s(u) - 2*y(u). What are the prime factors of h(-7)?
3, 31
Suppose 0 = -0*l - l - 4*t + 47, 0 = 2*l - 2*t - 84. Suppose -c + b + 64 = 0, 153 = 3*c - 5*b - l. Suppose -w + 253 = c. List the prime factors of w.
191
Let p(o) = -o + 22. Let i = -74 + 93. Let a be p(i). Suppose a*n - h = 432, 3*h - 55 = -4*n + 508. List the prime factors of n.
11, 13
Let z be 0 - 0 - 3/3*-51. Let f = z + -48. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
ue of (-16)/(-92)*(99360/64)/45?
6
(190/(2395520/(-591)))/(2/(-16))
3/8
((-3560)/4005)/(9/((-162)/(-696)))
-2/87
What is the value of (0/3)/((5*180/75)/(-3))?
0
(3*(-3)/5)/((-163)/(41565/(-204)))
-9/4
119036/208313*21/(-219)*1/(-2)
2/73
Evaluate (-7)/(-14)*-1*57/(4617/(-72)).
4/9
55/(-150)*(-21)/8085*28*(-24)/2
-8/25
2*38*((-217)/(-124))/(-7)
-19
What is the value of 3/((-243)/(-4104)*7/((-126)/(-24)))?
38
48*24*93/(-6696)
-16
Evaluate ((-4)/245*(-2282)/(-652))/(-1).
2/35
What is 103754/518770*-10*(-7)/(-6)?
-7/3
Calculate ((48/(-42))/((-270)/63))/((-692)/1557).
-3/5
Calculate ((-13)/(572/957))/(282/752).
-58
Calculate (18/(-12))/((-125)/(-50))*3/(-3).
3/5
What is (-1)/5*147/(-112)*(-80)/24?
-7/8
(552/(-144))/(-23)*7/((-35)/(-6))*-65
-13
Calculate (-54)/(-5)*480/(-672)*(-28)/3.
72
What is the value of 72/(-30)*(-7975)/(-957)?
-20
What is (((-3960)/1785)/33)/(7/(294/12))?
-4/17
-4*(-99)/(-55)*5/(-3)
12
What is (-70)/120*-6*270/45*2/21?
2
Calculate (84/40)/(406/145)*1024/(-12).
-64
Evaluate ((-852)/(-4544))/((-3)/160).
-10
What is ((191672/65)/(-97))/(18/15)?
-76/3
Evaluate ((-4100)/(-246))/(-7*100/(-4620)).
110
What is (36/(-21))/(((-1)/(-2))/((-350)/300))?
4
What is ((-364)/910)/(13/((-546)/24))?
7/10
What is (288/((-4320)/(-90)))/(-2*(-3)/(-36))?
-36
What is 23934/(-67813)*(-17)/129?
2/43
What is ((-7)/(-10))/(42826/611800)?
10
Calculate ((75/40)/5)/((-15)/280).
-7
What is (71/((-80940)/(-2223)))/((-2)/8)?
-39/5
What is ((-6099)/(-30495))/((-1)/(-7))?
7/5
((-152)/2)/(((-612)/(-27))/(-17))
57
Calculate 21*(-1)/71*66/2310*-10.
6/71
Evaluate ((-406)/(696/12))/(-2).
7/2
Calculate ((-2)/((-90)/(-485)))/((-105)/756*(-8)/10).
-97
-87*(156/7722*11)/((-1)/((-3)/(-2)))
29
What is 3/22*12/6*(-3064)/(-2298)?
4/11
What is the value of (260/(-25))/(3/15)?
-52
Evaluate 836/4*156/(-1716).
-19
What is 1*-3*(-6)/9*417335/36290?
23
2/2*15*(2035/(-33))/37
-25
Calculate 1380/5750*(-5)/(-24).
1/20
10416/147560*(-5)/(-3)
2/17
What is (13770/144)/51*10/25*44?
33
What is ((-137)/(-274))/(-5*403/520)?
-4/31
Evaluate 942/(-628)*(-82)/3.
41
Evaluate 18/(-930)*(-65162)/94590.
1/75
(6*36/1188)/((-70)/(-3190))
58/7
What is 297462/247885*(-30)/4*8/(-522)?
4/29
Evaluate ((-4)/(16/(-15)))/((-260)/24*(-171)/4446).
9
Evaluate (490/784)/((3/4)/3)*(-77880)/1650.
-118
What is the value of ((2232/(-54))/(32/40))/((-3)/((-9)/(-5)))?
31
What is ((-12)/(-224)*4)/(((-8)/120)/((-371)/1590))?
3/4
Calculate 2/((-7)/(-1785)*(-580)/116).
-102
What is (-13284)/27675*(-40)/6?
16/5
(5/(-9))/((-495)/(-594))*54/(-666)
2/37
What is ((-69)/92)/(-1*(-54)/(-396)*1/2)?
11
Calculate (4965/1324)/((-3)/96*2).
-60
((-4)/(-6))/((-110)/(-30))*100/640*16
5/11
Evaluate ((10/36)/(-1))/((-22)/(-93786)*-245).
29/6
What is the value of (-495)/75*(-480)/1232?
18/7
Evaluate ((-4)/(-80))/(178/(-1780))*6.
-3
((-230)/345)/((-2)/3)*(-10)/5*-62
124
Evaluate 10148/118*((-33)/(-6))/11.
43
Evaluate (48*(-8)/(-768))/(87/58).
1/3
What is the value of (-5)/(45/3)*(-74)/(-1036)*-1974?
47
Calculate ((-3)/((-9)/(-2)))/((-235)/4431630*-449).
-28
What is the value of 57109/17572*4/(-13)?
-1
Calculate (20/(-81)*660/275)/((-25)/675*9).
16/9
What is the value of ((-2)/(-12)*81/(-81)*-6)/(31/2573)?
83
(-4)/2*(117/(-13))/(-198)
-1/11
What is (31/((-930)/(-120)))/((-8)/32*4)?
-4
What is (14/(294/63)*(-3)/27)/(2/177)?
-59/2
Calculate (-16)/56*3/12*-14*77/(-7).
-11
(20/(1720/(-43)))/(((-6)/219)/2)
73/2
What is (1700/(-2125))/((-4)/10)*5?
10
What is the value of ((-15)/20)/(14/2240*(-35)/14*3)?
16
What is the value of (12/52*91)/((-153)/68)?
-28/3
((-500)/(-60)*45/75)/(5/22)
22
Evaluate -5*2*-355*(-342)/(-12141).
100
What is ((-1739)/15651)/((-4)/(-648))?
-18
(-5*(-1)/(-21)*146/(-584))/(30/21)
1/24
What is (36/(-891))/((-7)/(-126)*-6)*-3?
-4/11
(((-4)/10)/(8/(-78)))/(-75*4/500)
-13/2
What is ((-318)/(-42))/(195/1365)?
53
What is (7154/28)/((231/(-132))/(-1))?
146
(((-4)/100)/((-33)/(-495)))/(10*84/16)
-2/175
23660/1092*240/(-130)
-40
What is the value of 34*144/(-24480)*(-5)/(-26)?
-1/26
231672/(-27580)*(-2)/(-6)*-2
28/5
Evaluate (1230/(-20)*106/159)/(-1).
41
What is the value of 26*609/1218*(-1)/(-6)?
13/6
((119840/(-5712))/(-214))/(55/(-6))
-2/187
What is ((-5*1)/((-138)/(-23)))/((-7905)/204)?
2/93
What is the value of (32/80)/(672/(-70))?
-1/24
What is (-1)/(((105/308)/15)/((-132)/176))?
33
Calculate (-4560)/(-57)*1/(-12)*108/(-18).
40
Evaluate -4*(-4)/(-48)*8427/53.
-53
Evaluate (-1)/((-6)/(-4))*(225/(-30))/(17/(-102)).
-30
(125/75)/(4*(-2)/276)*84/(-70)
69
Evaluate ((-4)/70)/((-170)/(-1190)).
-2/5
Calculate (-9884)/(-17650)*16/(-56).
-4/25
What is (-165)/25*1830/183?
-66
Evaluate ((-410)/(-246))/(20/(-900)).
-75
What is the value of 1/(100/(-345))*-4*(-30)/(900/(-30))?
69/5
(-40)/(-30)*(-6)/(-16)*(-216)/(-3)
36
Evaluate (14/20)/(9*62/16740).
21
What is (2/(-1))/(6/2052*21*(-51)/(-119))?
-76
Calculate ((-45126)/(-690))/(31/(2170/42)).
109
What is the value of (-14)/(-22)*-6*140/(-378)*66/10?
28/3
What is ((-330)/(-24))/(28/((-5600)/(-825)))?
10/3
What is the value of (-2)/(52/(-3835)*-5*(-14)/(-56))?
-118
Calculate (-61)/((-5307)/580)*54/8.
45
(((-1)/6)/(3/24))/(21136/269484)
-17
16*(-30)/9*(-2478)/(-2065)
-64
Evaluate -119*(-532)/98*(-44)/1672.
-17
What is the value of (10/3)/(((-4625)/(-450))/(-37))*(-96)/(-336)?
-24/7
(((-28)/8)/(-7))/(670/1675*50/(-48))
-6/5
Calculate -11*8/(-44)*12*(-14)/(-378).
8/9
Calculate 0*2/33*-11*18/(-12).
0
709/(-3545)*(-10)/(-145)
-2/145
Calculate (-26)/(161356/58)*(-13)/(-13).
-1/107
What is (245/(-21))/(((-9)/81)/((-13)/(-1755)*9))?
7
What is the value of (-4536)/(-630)*46/(-92)*(-5)/(-1)?
-18
Calculate 8*201/1206*123/4.
41
What is (7*(-81)/378)/(6/28)?
-7
What is the value of (-24)/52*(-378)/(-336)*20/(-15)?
9/13
Evaluate (-27)/(-6)*(-1904)/59976.
-1/7
Evaluate ((-2)/1)/((-50)/88450*-58).
-61
What is the value of 3/15*2180/436*(-1)/8?
-1/8
What is ((6/42*-21)/((-12)/18))/(102/8)?
6/17
Calculate ((0/75)/56)/(-2).
0
Evaluate (4/(-35))/((6498/665)/(-57)).
2/3
Calculate (5602/(-5602))/(-2*(-4)/((-72)/21)).
3/7
Calculate (-47955)/6394*2/(-225).
1/15
((-376701)/(-19318))/((-102)/4)
-13/17
What is the value of (2*-1*-3)/((-197)/(40582/515))?
-12/5
What is 164/410*-3*(-238)/(-28)?
-51/5
Evaluate ((-91)/52*2)/((-161)/(-12)).
-6/23
What is (-36)/33*110/25*(-3)/(24/(-10))?
-6
(((-14)/(-2))/(-1))/(1414/(-4848))
24
((108192/630)/(-28))/(4/(-3))
23/5
Calculate ((-19602)/2970)/((-8)/80*1).
66
What is the value of 22*-15*(-24)/(-240)?
-33
(28/(-66))/(775/8525)
-14/3
What is ((-45)/(-2)*(-400)/(-14400))/(-1)?
-5/8
Evaluate (1/(-6)*-2*(-5985)/(-399))/((-170)/(-476)).
14
Evaluate (((-3)/6)/((-9)/15))/(19/(-1368)*12).
-5
What is 170/(-136)*((-8892)/95)/(-12)?
-39/4
What is (170/(-12))/((-13210)/(-79260))?
-85
2730/(-325)*54/(-756)
3/5
Evaluate (-41)/(-26240)*-20*4*67*32/4.
-67
What is (-28)/(-140)*(-308)/(-12)*(-18)/(-42)?
11/5
What is the value of (-1)/((-4)/(-172))*(1380/23)/60?
-43
Evaluate (-40)/40*(-10)/(-2880)*16.
-1/18
Evaluate ((22509/122)/(-41))/((-12)/(-136)).
-51
What is 70/42*4356/3960?
11/6
Evaluate (-26050)/2104840*(72/(-15))/(-6).
-1/101
Calculate ((26/(-60))/13)/(35/50*(-145)/(-203)).
-1/15
What is (-12)/((1096/(-2466))/((-15)/(-18)))?
45/2
Evaluate -6*4*25/(-25)*152/(-513)*-9.
64
What is (129/2)/(6177/4118)?
43
Calculate (-6708)/2236*(-1)/(-15)*26.
-26/5
Evaluate ((-32)/(-196))/(224/3136).
16/7
What is ((-2)/8)/(193/(-3088))?
4
Calculate ((-16)/(-6))/(((-12180)/(-90))/(-29)).
-4/7
Evaluate -39*2/33*(-63)/21*(-209)/(-114).
13
Evaluate (110/(-132)*28/35)/((-6)/(-2214)*2).
-123
4225/(-2535)*(-6)/(-5)
-2
Evaluate 28/119*(-1925)/1540.
-5/17
What is the value of ((9625/15)/7)/(520/208)*3/1?
110
Calculate (90/(-144))/((225/324)/1).
-9/10
What is the value of (-16*(-78)/(-1560))/(84/10)?
-2/21
Evaluate ((-158)/36)/(-1)*-4*26118/(-5804).
79
What is ((10/(-4)*824/(-515))/38)/((-28)/14)?
-1/19
What is ((5/12)/((-23)/(4416/(-240))))/(4/156)?
13
What is the value of ((-2)/(-20))/(6/(-36))*111/((-718947)/(-170))?
-2/127
What is 14/(-140)*30*(-2)/2*78/130?
9/5
What is the value of 2/11*690558/(-10463)?
-12
Evaluate 250/2*(((-475)/76)/(-25))/((-60)/96).
-50
What is ((-135)/7290)/((-9)/9234)?
19
What is ((8/20)/((32/(-10))/(-4)))/(37978/4468)?
1/17
Calculate 3/(-9)*74*63/11655.
-2/15
Evaluate -36*5/(-660)*-220.
-60
|
{
"pile_set_name": "DM Mathematics"
}
|
1 - 0.8509. Let k = 0.0399 + f. Which is the closest to -0.1? (a) 4/5 (b) k (c) 2
b
Let i = -0.26325 - -0.15325. What is the nearest to 2/7 in 2, i, 1, -1?
i
Let o = -1889 + 7485/4. Let p = o - -599/36. What is the closest to 0.1 in 4, 1, -2, p?
1
Let o = 2.5 + -2. Let u = 5809 - 5811. What is the nearest to -4 in u, o, 0.4?
u
Let k = 5.8 - 5.1. Let r = 0.4231 - 0.0231. What is the nearest to -1 in 0.3, r, k?
0.3
Let z = -113 + 53. Let s = z - -65. Which is the closest to 1? (a) 0.8 (b) s (c) -3/8
a
Let s = -2411.3 + 2412. What is the closest to -0.4 in -4/5, 0.1, s?
-4/5
Let i = 175 - 114. Let z = i + -62. Let y = 9 + -2. What is the closest to z in y, 5, -4?
-4
Let k = 0.462 + -0.062. Suppose -5*p + 5 = -2*r, 0*r - 3*r - 1 = -p. Let u = 219 + -220. Which is the nearest to p? (a) u (b) k (c) 4
b
Suppose -j - 6 + 11 = 0, 4*z - 11 = j. Let a = z - 1. Let o = 11/21 + -118/105. What is the closest to a in o, -0.1, 2?
2
Let v = 912.2 + -915.2. What is the closest to -0.1 in 1/35, 6, v?
1/35
Let j = -4.09021 + 0.09021. What is the closest to 1/5 in -2, j, 1/307, 1/5?
1/5
Let c = 165 - 162. Suppose -4*x + 8 + 4 = z, -3*x - 4*z - 4 = 0. Let a be (2/x)/(4/(-24)). What is the nearest to -6 in a, c, -3/2?
a
Let f = -6911/3199 + 8/457. What is the closest to 0.3 in 2, 3/2, f, -1/3?
-1/3
Let d = 122 + 66. Let k = -188.3 + d. Which is the closest to -1? (a) -3/7 (b) k (c) 0.4
a
Let i = 1161 - 1163. Which is the closest to i? (a) -0.06 (b) -1/6 (c) 1/5 (d) 4/7
b
Let l = -0.3 - -0.207. Let w = l - 6.207. Let k = 6.2 + w. What is the nearest to 1 in k, 0.5, -6/5?
0.5
Let i = -535 - -3747/7. Which is the nearest to i? (a) -3 (b) -15 (c) 0.6
c
Let g = -0.4 + 0.9. Let l be (30/75)/((4/(-15))/(10/255)). Which is the nearest to 1/2? (a) g (b) 0.2 (c) l
a
Let x = -73.4 + 73. Let q = 0 + x. Which is the nearest to 0? (a) 4 (b) 1/3 (c) q
b
Suppose -3*h = -5*m + 359, 6*m - h = 8*m - 137. Let r be (5/((-30)/(-4)))/(m/15). What is the nearest to -2 in r, -0.1, 0.5, 1?
-0.1
Let j = -10.024 + 0.124. Let y = j + 9.5. Let t = -2.038 - -0.038. Which is the nearest to t? (a) y (b) -0.3 (c) 0
a
Let a = 308 - 305. What is the nearest to 5 in a, -0.01, -4, -3?
a
Suppose 5*j - 11*j = -18. Suppose 5*x - 4*w = 51 - 16, j*x + 5*w + 16 = 0. Let u = -23 + 24. What is the nearest to 1 in u, x, -4?
u
Let q = -1.0948 + 0.0948. Which is the nearest to -4? (a) q (b) 0.06 (c) 7
a
Let a = 85564/105 + -4074/5. What is the nearest to 2/3 in -38, a, 1, -5?
1
Let m be (-26)/585*5 + 0. Which is the closest to 0.76? (a) m (b) -4 (c) -8.5
a
Let z be (-51 - -48)/(21/1). Which is the closest to -0.2? (a) -2/3 (b) z (c) 8
b
Let h = -43593 - -43593.1. Let o(n) = -n**2 + 4*n - 5. Let w be o(-4). Let g = -334/9 - w. Which is the nearest to g? (a) 5/3 (b) -5 (c) h
c
Let w = -101 + 101.4. Let r = -189 + 187. What is the nearest to 1 in r, w, 1, 1.8?
1
Let r(t) = 17*t - 87. Let j be r(5). Suppose -y + c = 3, 0 = -47*c + 50*c - 9. What is the closest to y in j, 2/9, 0.3?
2/9
Let x(u) = -u**2 - 9*u - 6. Let g be x(-8). Let y be (1/g)/((-15)/(-9)). Which is the nearest to 1? (a) y (b) 0 (c) -5
a
Let q = -8.5 + -123.5. Let u = q - -127. Let y = -18 - -73/4. What is the nearest to y in u, -0.2, -2/39?
-2/39
Let d = -5.6 - -6. Let u = 8 + -7.82. Let t = -268.5 + 268. What is the closest to 2/3 in d, u, t?
d
Suppose -17*f - 3*f - 18 = -2*f. What is the nearest to 137 in 1/3, f, -2/7?
1/3
Let z(l) = 3*l**2 - l. Let s be z(3). Suppose 3*g - s = -12. Let b be (g/30)/(4/(-20)). What is the closest to -2 in -3, 0.3, b?
-3
Let y = -80 + 73.9. Let t = 6 + y. Let r be (-15)/2*6/(-9). Which is the closest to t? (a) 4 (b) r (c) -0.3
c
Let m be (-2340)/(-100) - (-2 - 7/(-5)). Let j be 10*(-2)/m*-6. Which is the nearest to 1/6? (a) -0.1 (b) j (c) -5
a
Let l = 46.8 - 46.5. Let w be (16/40)/(22/(-10)). Which is the closest to -0.2? (a) w (b) 6 (c) l
a
Let w = -214 - -212. Let k be ((-2)/(-2) + -1)*1. Suppose 0*d - 4*o - 8 = -2*d, 3*d - o = -8. Which is the nearest to -4/3? (a) w (b) d (c) k
a
Let g = 61 + -60.11. Let l = 466 + -467.89. Let m = l + g. Which is the nearest to m? (a) 3 (b) -2/3 (c) 0.3
b
Let z = 56 + 6. Let h = z + -62.2. Let k = -106/595 - -3/85. Which is the nearest to 0? (a) h (b) 0.3 (c) k
c
Let i(n) = 11*n + 103. Let k be i(-9). Let l be 4/(-14) + (-74)/(-14). Suppose p = 2*x - l*x - 25, -5*x - 51 = 4*p. What is the closest to 1 in k, 3, x?
3
Let y be 9/(-2)*(-1)/(-6). Let d be -52*(-68)/2652 + 2/(-6). Let m be 2/(-3) - (-26)/12. Which is the closest to d? (a) y (b) m (c) 0.1
b
Let r = 32.99 + -32.92. What is the nearest to r in 1/6, -1.6, -5?
1/6
Let a = 1.32 + -0.22. Let c = a - 1.1. Let p be (92/(-30) + 3)*-3. What is the closest to c in 3/5, 2, p?
p
Let q = 75 + -76. Let j = -46 + 42.2. Let i = 7.8 + j. What is the nearest to 0.1 in q, -4, i?
q
Let b = 32929 - 32923. What is the nearest to 83/5 in -0.3, b, 2/3, -2?
b
Let k = 37/60 - -1/20. Let t = 0.68621 - 0.18621. Which is the closest to 0? (a) -1.2 (b) k (c) 0 (d) t
c
Let i = 16 - 16.41. Let p = -1.59 + i. Which is the nearest to 1? (a) -3 (b) -24 (c) p
c
Let l(t) = t - 4. Let z be l(0). Let m be ((-2)/(z/6))/((-3)/3). Let u = 0.855 + -5.855. Which is the nearest to 1/4? (a) 0.1 (b) m (c) u
a
Let c be 2/27*(-3 + 0). Let z = -303581 - -303586. What is the closest to 4 in c, -0.5, z?
z
Let i = -3 + 2.9. Suppose -43 - 25 = 34*x. Let n be (66/(-55) - 2)/(x/(-5)). What is the closest to i in -1/10, n, 5?
-1/10
Let o be 28/(-66) + ((-800)/(-275))/32. What is the closest to 3/2 in 0.1, -169, o?
0.1
Let j = 0.1 - 0.6. Let n = -22444 - -22443.7. What is the nearest to 11 in n, j, -2/5?
n
Suppose 4*k - 3*v + 1 = 25, 0 = -2*k + 2*v + 12. Let i = 1067.8 - 1068. What is the nearest to i in k, -2, -0.3?
-0.3
Let k be (-414)/(-360) - 300/125. Which is the closest to -1? (a) -3 (b) -0.1 (c) k (d) -2/21
c
Let h = -5210 + 5209.9. Which is the nearest to h? (a) -1 (b) 5 (c) -1/3 (d) 6.8
c
Let s = 206836.2 - 206836. Let d = 81 + -727/9. Which is the closest to s? (a) d (b) -0.2 (c) 0.1
a
Let v = 4.11 + -4.1. Let k = 5.88 - 6.88. Which is the closest to -2/3? (a) 2 (b) k (c) v
b
Suppose -18*s = -15*s - 3. Let d = 1041/140 + 111/28. Let r = d + -731/65. Which is the closest to -0.09? (a) -3/2 (b) r (c) s
b
Let v = -289 - -240. Let c = 0.0819 + 47.0181. Let i = v + c. What is the closest to i in -2/7, -0.5, 1/2?
-0.5
Suppose -9*i - 22 = 23. Let b be (4 - (i - -5)) + -5. Let o = 1.7 + -1.3. What is the nearest to b in 2/15, o, -3?
2/15
Suppose 0 = -y + 4*n - 39 + 3, -4*y - 56 = -5*n. Which is the nearest to 0.3? (a) 18/11 (b) 2/9 (c) y
b
Let g be 195/20 + 9/(-12). Let t be 12/g*(4 - 7). Let u be (-39)/36 - (-1)/t*-3. Which is the nearest to u? (a) -1/6 (b) -2 (c) 4
a
Let i = 3109 + -3113. What is the nearest to -2/3 in i, 5, 3/5, -2?
3/5
Let y = -1.65878 + -0.34122. Which is the nearest to -1? (a) 10/3 (b) -3/4 (c) -2/5 (d) y
b
Let s = -3861 + 3862.5. What is the nearest to 0.03 in 0, s, 4, 4/5?
0
Let q = 4 - 6. Let l = -1.437 - -0.247. Let m = l + 1.39. Which is the closest to -6? (a) m (b) -0.4 (c) q
c
Suppose 46*k + 380 = 150. Which is the closest to 0.3? (a) 4 (b) k (c) -4/3 (d) -11
c
Let y(x) = 8*x - 27. Let j be y(5). Suppose -9*n = -j*n. Which is the closest to 0? (a) -5 (b) n (c) -14
b
Let p be (-24)/(-10)*(-20)/(-6). Let x(f) = f**3 - 17*f**2 - 18*f - 11. Let n be x(18). Let d be 2/(-3)*(143/26)/n. What is the closest to p in 4, d, -5?
4
Let r = -0.558 - -0.582. What is the closest to -1/5 in r, -2/3, -3/2?
r
Let h(f) = f**3 - 6*f**2 + 2*f - 8. Let b be h(6). Let c = -191.03 + 191.13. Let z be 13/(-6) + 3 + -1. What is the nearest to c in z, b, 2?
z
Let x = -0.6 - 243.4. Let r = 270.9 + x. Let p = 27 - r. What is the closest to p in 0.5, -0.02, -1?
-0.02
Let s = -0.263 + -1.137. What is the closest to s in -2/5, 1.1, -0.3?
-2/5
Suppose -3*j - 9 = -3*s, -14*s + 25 = -9*s. What is the nearest to -3 in 5/7, 0.03, j?
0.03
Let m be (-100)/252 + (3/(-81))/((-7)/21). Which is the nearest to m? (a) 2/53 (b) 4 (c) 0.2 (d) -0.4
d
Let u(h) = 248*h + 1257. Let v be u(-5). What is the nearest to 0 in 0.2, v, -7, 0.3?
0.2
Let w = -1665 - -1664.1. Which is the clo
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{
"pile_set_name": "DM Mathematics"
}
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5/12, 2, 3
Factor 619 - 541*i - 233*i**2 + 75*i**2 - 77*i + 77*i**2 + 80*i**2.
-(i - 1)*(i + 619)
Let o(c) be the second derivative of -125*c - 9/40*c**5 - 1 - c**4 + 5*c**3 + 12*c**2. Determine g, given that o(g) = 0.
-4, -2/3, 2
Let i be ((-36)/225)/((-28)/140). Let y(z) be the first derivative of 4/15*z**3 - 3 - 1/10*z**4 - i*z + 1/5*z**2. Factor y(h).
-2*(h - 2)*(h - 1)*(h + 1)/5
Suppose -43*u + 4 = -42*u. Factor 5*j**u + 44*j + 4*j**4 - 36*j**2 - 16 - 2*j**3 + 6*j**3 - 5*j**4.
4*(j - 1)**3*(j + 4)
Let y(c) be the third derivative of -c**6/300 + c**5/6 - 59*c**4/30 - 48*c**3/5 - 3*c**2 + 100*c - 4. What is q in y(q) = 0?
-1, 8, 18
Let g = -7070 - -28281/4. Let o(q) be the third derivative of 0 + 1/40*q**5 - 11*q**2 - g*q**3 + 1/48*q**4 - 1/240*q**6 + 0*q. Factor o(s).
-(s - 3)*(s - 1)*(s + 1)/2
Let c(r) be the first derivative of r**4/20 + r**3/5 - 17*r**2/5 + 48*r/5 + 1960. Factor c(v).
(v - 3)*(v - 2)*(v + 8)/5
Let u(j) = -11*j**3 + j**2 + j + 1. Let x(d) = -23*d**3 - 103*d**2 + 110*d + 214. Let l(m) = -2*u(m) + x(m). Determine v so that l(v) = 0.
-106, -1, 2
Let k(v) = -v**3 - 11*v**2 - 22*v - 27. Let s be k(-9). Determine c so that 446*c - 1 - 209*c + 68*c**2 + s - 161*c = 0.
-1, -2/17
Let t(g) = 7*g**4 + 272*g**3 - 729*g**2 - 1086*g - 46. Let x(j) = 2*j**4 + 68*j**3 - 182*j**2 - 272*j - 12. Let v(r) = -6*t(r) + 23*x(r). Factor v(k).
4*k*(k - 13)*(k - 5)*(k + 1)
Let v(a) = -9*a**4 + 15*a**3 + 12*a**2 - 6. Let b(n) = 2*n**4 + 1 + 5*n**3 + 135*n**2 - 136*n**2 - 6*n**3. Let x(k) = 6*b(k) + v(k). Factor x(i).
3*i**2*(i + 1)*(i + 2)
Solve -111*p - 3/2*p**2 - 216 = 0 for p.
-72, -2
Let d(v) be the first derivative of -v**4/16 + 8*v**3/3 - 341*v**2/8 + 605*v/2 - 3529. Solve d(s) = 0.
10, 11
Let o(u) be the first derivative of -4*u**6/51 - 14*u**5/85 + u**4 - 16*u**3/51 + 798. Let o(n) = 0. What is n?
-4, 0, 1/4, 2
Let c(k) be the first derivative of -k**2 + 4 - 2/5*k**5 + 1/2*k**4 - 4*k + 2*k**3. Factor c(x).
-2*(x - 2)*(x - 1)*(x + 1)**2
Let l(r) be the second derivative of -3*r**5/80 + 71*r**4/16 - 65*r**3 + 378*r**2 + 816*r. Determine x so that l(x) = 0.
4, 63
Let y(c) = 3*c - 68. Let d be y(18). Let w be ((-1)/d)/((4 + -2)/12). Factor -w*q**2 - 3/7 - 6/7*q.
-3*(q + 1)**2/7
Let u(z) be the third derivative of -z**5/420 + 41*z**4/12 + 192*z**3/7 - 9*z**2 + 5*z - 13. Factor u(s).
-(s - 576)*(s + 2)/7
Let o(p) be the third derivative of -1/20*p**5 + 0*p + 0*p**4 + 6/35*p**7 - 1/40*p**6 + 0*p**3 + 0 + 58*p**2. Factor o(y).
3*y**2*(3*y - 1)*(4*y + 1)
Let q(m) be the second derivative of -m**4/6 + 397*m**3/3 + 398*m**2 - 452*m + 2. Factor q(c).
-2*(c - 398)*(c + 1)
Suppose -5*g = 3*q - 8, 3*g = -q - 28 + 36. Let u(v) be the third derivative of 0*v + 0*v**3 - 1/30*v**5 + 0*v**g + 6*v**2 + 0. Factor u(d).
-2*d**2
Let h = -141 + 135. Let i be -55*(-5 - (21/h - 1)). Solve -25*t**2 + 55/2*t + 30*t**4 - 5 - i*t**3 = 0 for t.
-1, 1/4, 2/3, 1
Let m(v) be the first derivative of -v**3/3 - 2*v**2 + 45*v + 52. Let o be m(5). Solve 8/7*a**2 - 4/7*a**3 + 0*a - 8/7*a**4 + 4/7*a**5 + o = 0 for a.
-1, 0, 1, 2
Let b be (-4)/66 + 272/132. Let 5216*k + 4*k**3 - 3*k**3 + 3*k**3 - 5168*k - 32*k**b = 0. Calculate k.
0, 2, 6
Let c(y) be the first derivative of y**6/21 + 12*y**5/35 + y**4/2 - 12*y**3/7 - 44*y**2/7 - 48*y/7 - 1281. Suppose c(r) = 0. What is r?
-3, -2, -1, 2
Let 2*w**5 - 66*w**3 - 89*w**2 + 62*w**4 + 27*w**2 + 51*w + 13*w = 0. What is w?
-32, -1, 0, 1
Let u(q) = -3*q**2 + 131*q + 518. Let d(x) = -2*x**2 + 11*x - 1. Let t(w) = -4*d(w) + 2*u(w). Let t(s) = 0. What is s?
-104, -5
Let f = 415/9 + -413/9. Let k(n) be the second derivative of -1/45*n**5 + 1/3*n**3 - f*n**4 + 0 - n + 1/189*n**7 + 4/135*n**6 + 0*n**2. Factor k(z).
2*z*(z - 1)**2*(z + 3)**2/9
Determine q so that -58/15*q**3 + 0*q + 0 + 56/15*q**4 + 2/15*q**2 = 0.
0, 1/28, 1
Let u(w) = -2*w + 37. Let p be u(19). Let k be (0 - (-9)/p)*6/(-6). Factor -6*v + k*v**4 + 3*v**2 + 6*v**3 - 2*v**2 - 6*v**4 - 4*v**2.
3*v*(v - 1)*(v + 1)*(v + 2)
Let x(d) be the second derivative of 1/135*d**6 + 1/45*d**5 + 0 - 1/18*d**4 - 4/9*d**2 - 8/27*d**3 - 98*d. Factor x(p).
2*(p - 2)*(p + 1)**2*(p + 2)/9
Let u(i) be the first derivative of i**7/1470 + i**6/315 + 37*i**3/3 + 52. Let q(g) be the third derivative of u(g). Suppose q(p) = 0. Calculate p.
-2, 0
Suppose 0 = 22*z + 11 - 55. Factor -14*t**2 + 13*t**z + 2 + t - 2 + 0.
-t*(t - 1)
Let o(k) be the third derivative of k**5/240 - 3*k**4/32 - k**2 - 81*k. Solve o(f) = 0.
0, 9
Factor 153/2*x**3 + 0 - 36*x**4 - 39*x**2 + 0*x - 3/2*x**5.
-3*x**2*(x - 1)**2*(x + 26)/2
Let o be 20/25*2*(-5)/4. Let i be (1 - 8) + (-23)/o. Factor -3/2*g - i*g**3 + 0 - 3/2*g**4 - 9/2*g**2.
-3*g*(g + 1)**3/2
Let z(m) = m + 6. Suppose i = 2*t - 6, i - 4*t + 4 = -6. Let r be z(i). Solve -2*q**4 - q**r + 7*q**4 - 4*q**2 = 0 for q.
-1, 0, 1
Let k(t) be the third derivative of 3*t + 1/840*t**8 + 0*t**3 - 3/40*t**4 - 3/350*t**7 + 7/600*t**6 + 0 - 93*t**2 + 3/100*t**5. Suppose k(r) = 0. Calculate r.
-1, 0, 1, 3/2, 3
Let r(k) be the first derivative of 7*k**4/18 - 22*k**3/27 - 10*k**2/9 + 16*k/9 - 2550. Factor r(m).
2*(m - 2)*(m + 1)*(7*m - 4)/9
Let f be (-16 + -8 + 2331/98)*-21. Suppose 18 - f*b**2 + 6*b - 3/2*b**3 = 0. Calculate b.
-3, -2, 2
Let q(s) be the second derivative of s**5/30 + 13*s**4/12 + 4*s**3 + 36*s**2 - 92*s. Let v(l) be the first derivative of q(l). Solve v(y) = 0.
-12, -1
Let j(x) be the second derivative of -x**9/24192 + x**7/2240 + x**6/1440 + 149*x**3/6 + 5*x. Let d(h) be the second derivative of j(h). What is n in d(n) = 0?
-1, 0, 2
Let h(g) be the third derivative of 0*g - 1/15*g**7 + 2 - 52*g**2 - 23/60*g**6 - 9/10*g**5 - 2/3*g**3 - 13/12*g**4. Let h(f) = 0. What is f?
-1, -2/7
Suppose 4*d + 12 = -z + 22, 8*d - 26 = -5*z. Suppose -13/2*q**4 - 11/2*q**3 + 0 - q**z - 2*q**5 + 0*q = 0. Calculate q.
-2, -1, -1/4, 0
Let v(h) be the first derivative of 735/4*h**4 + 349*h**3 + 168/5*h**5 + 2*h**6 + 44 + 108*h + 288*h**2. Determine l, given that v(l) = 0.
-6, -1, -1/2
Let x(l) be the first derivative of l**6/20 + 3*l**5/10 - 4*l**3 - 12*l**2 - 8*l + 24. Let f(j) be the first derivative of x(j). Factor f(q).
3*(q - 2)*(q + 2)**3/2
Let b(f) be the third derivative of -f**5/105 - 547*f**4/42 + 1096*f**3/21 - 2*f**2 + 2*f + 416. Factor b(z).
-4*(z - 1)*(z + 548)/7
Let s = -4773 + 4773. Let i(b) be the first derivative of 26 + 8*b**2 + 33*b**4 - 88/3*b**3 + s*b + 7/3*b**6 - 74/5*b**5. Suppose i(n) = 0. What is n?
0, 2/7, 1, 2
Let s(k) be the third derivative of 1/504*k**8 - 1/360*k**6 - 1/45*k**5 - 1/72*k**4 + 0 + 1/180*k**7 + 0*k + 34*k**2 + 1/36*k**3. Find r such that s(r) = 0.
-1, 1/4, 1
Let o = 18 - 35/2. Suppose -r + 5 = 0, -4*d + 3 = -5*r + 16. Factor o - 5/2*v**2 + 3/2*v**d + 1/2*v.
(v - 1)**2*(3*v + 1)/2
Let n(u) = -u**3 + 15*u**2 + 16*u + 2. Let r(j) = 3*j**2 + 4*j + 1. Let w be r(-3). Let t be n(w). Factor -5*l**t - 5*l - 5*l + 2*l + 8 + 7*l**2.
2*(l - 2)**2
Let v(b) be the second derivative of -1/60*b**4 - 118*b + 1/5*b**3 + 0 + 7/10*b**2. Let v(g) = 0. What is g?
-1, 7
Determine c, given that -1727/10*c + 133/5 - 13/10*c**2 = 0.
-133, 2/13
Let b(n) be the third derivative of n**7/1365 - n**6/130 - 17*n**5/130 + 61*n**4/39 - 84*n**3/13 - 2*n**2 + 3*n + 12. Let b(u) = 0. Calculate u.
-7, 2, 9
Let x(g) be the first derivative of -1 + 0*g**3 + 42*g + 1/30*g**6 + 1/6*g**4 + 0*g**2 - 3/20*g**5. Let c(q) be the first derivative of x(q). Solve c(k) = 0.
0, 1, 2
Let j(v) = -v**3 + 177*v**2 + 2233*v - 418. Let s be j(-12). Solve 324/13*i - 738/13*i**s - 10/13*i**4 + 0 - 176/13*i**3 = 0 for i.
-9, 0, 2/5
Let i = -32 + 45. Let w(o) = -4 - 21 - 10 - 8 + i*o - o**2. Let y(v) = -4*v + 14. Let m(r) = -4*w(r) - 14*y(r). Factor m(u).
4*(u - 2)*(u + 3)
Suppose -621 = 23*m - 736. Let f(i) be the third derivative of 0*i**3 + 0 + 1/540*i**6 - 17*i**2 + 1/135*i**m + 0*i**4 + 0*i. Factor f(t).
2*t**2*(t + 2)/9
Solve -3235*m + 2415 + 883*m**2 - 58*m**2 + m**3 - 6*m**3 = 0.
1, 3, 161
Factor 24*i + 22 + 15/2*i**2 + 1/2*i**3.
(i + 2)**2*(i + 11)/2
Suppose -89 = 3*y - 4*y. Suppose 101*r**2 - 180*r**2 + y*r**2 - 178*r - 36 = 0. What is r?
-1/5, 18
Determine t so that -10/3*t**4 + 0 - 686/3*t**2 + 68*t**3 + 164*t = 0.
0, 1, 3, 82/5
Suppose 4*x = -3*a + 2*x + 24, 7 = a + x. Suppose o + 5 = 2*g, -3*g + a
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{
"pile_set_name": "DM Mathematics"
}
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be ((-6)/(-8))/(3/12). Put z, -4, 2 in decreasing order.
z, 2, -4
Let m = -0.03 + 0.09. Let i = m - 0.06. Let p be (12/15 - 1)*2. Put 0.4, i, p in ascending order.
p, i, 0.4
Let i(s) = 16*s**2 - 2*s - 1. Let d be i(-1). Suppose 4*q + 1 = -5*z, -3*q - z = 2*q + d. Suppose 2*g - 4 = -2. Sort q, g, -3 in decreasing order.
g, -3, q
Let d = -2.7 - 8.3. Let q = d + 9. Sort q, -2/15, 2/5 in ascending order.
q, -2/15, 2/5
Let q = 20 - 15. Sort q, -0.4, -1/6 in increasing order.
-0.4, -1/6, q
Let h be (-3)/2*40/(-12). Let r = -7 - -6.4. Let m = -1.4 + r. Sort h, -4, m in increasing order.
-4, m, h
Let x(u) be the first derivative of u**2/2 + 10*u - 1. Let m be x(-6). Put 5, -4, m in increasing order.
-4, m, 5
Suppose 0 = 5*i - 13 + 3. Suppose i*b + 3*n = 5, 4*b - 5*n + 1 + 22 = 0. Sort b, 2, 3 in decreasing order.
3, 2, b
Suppose -4*w - 5*x = -40, -2*w = x - 4*x + 2. Put -4, 2, w, -5 in descending order.
w, 2, -4, -5
Let j(m) = 1 + 4*m**3 - 11 - 3*m**3 + 0*m**3 + 8*m**2. Let p be j(-8). Let w = -10 - p. Put -2, w, 2 in decreasing order.
2, w, -2
Let x(q) = 4*q. Let t be x(2). Let d = t - 6. Suppose -5*c - 17 = -3*u + 2*u, 0 = d*c + 3*u. Sort 1, c, -4.
-4, c, 1
Let j = -0.002 - 0.998. Sort 0.2, j, 0, -3.
-3, j, 0, 0.2
Let f = -38.3 + 38. Put f, -3, -2 in decreasing order.
f, -2, -3
Let s be ((-1)/(3 + -2))/(-3). Let y = -5/9 + s. Let h = -2 - -1.7. Put y, -0.2, h in increasing order.
h, y, -0.2
Suppose 9 = 5*n + 2*l + 32, 4*l = 3*n + 19. Suppose 0 = y - 7*y + 18. Put n, 5, y in descending order.
5, y, n
Let v = -23.5 + 23. Let m(a) = a**3 + 5*a**2 - 9*a - 7. Let t be m(-6). Let o be (1 - (1 - 2))/t. Sort 2, o, v in decreasing order.
2, o, v
Let a(x) = -13*x**2 - 6*x + 15. Let d be a(2). Put d, 5, -5 in ascending order.
d, -5, 5
Let h(d) = d**2 - 2*d - 1. Let z be h(-1). Let q = 16 - 20. Sort q, z, 1 in ascending order.
q, 1, z
Let s be (4 - 2)/4*-2. Let j = 4 - s. Sort -5, j, 2.
-5, 2, j
Let y be 6/(-4)*(-3)/(-18). Let t(i) = 10*i**2 + 5*i + 1. Let r be t(5). Let x = r + -1935/7. Sort 1, x, y in descending order.
1, y, x
Suppose 3*z = 5*z + 4*p - 10, 0 = -5*z + 2*p - 35. Sort -2, z, -3 in ascending order.
z, -3, -2
Let a = 70.49 - 71. Let z = a + 0.11. Sort -5, 1, z.
-5, z, 1
Let x = 14/3 - 143/30. Put 5, x, -0.2 in decreasing order.
5, x, -0.2
Let n = -41 - -45. Let m = 3 + -3.2. Sort n, -2/17, m in descending order.
n, -2/17, m
Let g be 1/2*6/(-3). Sort 2, g, -3.
-3, g, 2
Suppose m - 1 = 0, 3*d + 8 = -d + 4*m. Let p = 2 + -1. Sort p, -2, d.
-2, d, p
Let a be 5*(-1)/2*(-13 - -15). Sort a, -4, 1 in descending order.
1, -4, a
Suppose 3*q = 35 + 28. Let j be 3/(2 - 5/4). Suppose 2*f + q = j*f - 5*i, -i = f + 7. Sort 3, f, 0 in descending order.
3, 0, f
Suppose q - 1 = 0, q = 3*c + 5*q - 22. Let d = c - 8. Put d, 3, -3 in ascending order.
-3, d, 3
Let f = 2 - 2. Sort f, 1, 4.
f, 1, 4
Suppose -5*c + 0*a - 18 = 2*a, 2*c - 5*a + 13 = 0. Sort -5, 1/2, c in decreasing order.
1/2, c, -5
Let r = -24 + 21. Let l(a) be the second derivative of a**5/20 + a**4/6 - a**3/2 + a**2 - a. Let y be l(-3). Sort 4, r, y.
r, y, 4
Suppose s + 1 = -0. Sort 0, s, -4.
-4, s, 0
Let f be 7/3 - (-4)/6. Let j = 39 + -39. Sort f, j, -5 in decreasing order.
f, j, -5
Let j = -11.4 + 11. Sort -3, -1, j.
-3, -1, j
Let a = -189 - -1325/7. Let q = -0.19 - -0.2. Let v = 0.39 + q. Sort 1/2, a, v in decreasing order.
1/2, v, a
Suppose 11*j - 9*j - 10 = 0. Sort 0, 0.4, j, 5/6 in descending order.
j, 5/6, 0.4, 0
Let i = 689 - 686. Suppose 0 = r + 4*r. Let f be -1 - (1*-5 + 0). Put f, r, i in ascending order.
r, i, f
Let t = 2.5 - -0.5. Put 1, 5, t in ascending order.
1, t, 5
Let v(g) = g**2 - 3*g - 3. Let o be v(-2). Suppose -3*t + o*t = 0. Suppose 5*i - 11 = -6*n + 3*n, t = -4*i + 4*n + 28. Put 1/8, -2, i in decreasing order.
i, 1/8, -2
Let o = -26 - -8. Let f = o - -17.5. Sort f, -0.2, 0.4 in decreasing order.
0.4, -0.2, f
Let b = 12 - 14. Suppose 0 = d - 3*d. Put d, b, 3 in decreasing order.
3, d, b
Let n = 6.13 - 0.13. Let r = -6 + n. Put 3, -1, r in ascending order.
-1, r, 3
Let i be -2*1/(-2) + 4. Let y be (70/5)/((-4)/6). Let n be y/4 - (-2)/8. Sort 4, i, n in descending order.
i, 4, n
Suppose 9*v + 1 = 8*v. Put -4, 0, v in increasing order.
-4, v, 0
Let w = -19 + 16. Sort -0.4, -0.5, w in decreasing order.
-0.4, -0.5, w
Let q be 1/(-2)*2 - -4. Let x = 1 + q. Sort -4, x, 1.
-4, 1, x
Let z(l) = -l**2 + 4*l + 1. Let h be z(5). Sort h, 5, -3.
h, -3, 5
Let b be 0 - (-1 + 0 + -2). Suppose 3*j + 0*j = -b. Sort 1, 3, j in decreasing order.
3, 1, j
Let y = 0.07 - 0.07. Let q = y - 3. Let k be (-1 + 0/(-2))*5. Sort -0.5, q, k.
k, q, -0.5
Let p = 2.8 - 3. Let f = -9 - -17. Let t = -6 + f. Sort p, 1, t in descending order.
t, 1, p
Let h = -1.7 - -1.7. Let t = h + 2. Sort -1, t, -12 in ascending order.
-12, -1, t
Let f = -14 + 1. Let j = 9 + f. Sort 0.1, j, -2/9.
j, -2/9, 0.1
Let l be (2/(-3))/(3/45). Let s be 2/(-4) - l/4. Let o be 1/(0 + 1/s). Sort -3, o, 5.
-3, o, 5
Suppose 5*k = g - 1, 0 = 4*g - 3*k - 2*k - 4. Sort -6, -5, g.
-6, -5, g
Suppose -2*t + 5*t = 9. Sort -5, -2, t in descending order.
t, -2, -5
Suppose 4*z - 12 = 0, 4*z + 0*z + 53 = 5*p. Suppose -5*a + p + 2 = 0. Suppose a = -j - 1. Sort -5, j, 0 in descending order.
0, j, -5
Suppose 3*d - 2 - 10 = 0. Let s(h) = -2*h**3 + h**2 - 1. Let r be s(-1). Suppose -r*k = -6*k + 3*i - 32, -10 = -2*k - 5*i. Put 2, d, k in descending order.
d, 2, k
Let p = -129 - -132. Put 16, p, 4, 0 in ascending order.
0, p, 4, 16
Let g = -35 + 34.8. Sort -17, g, -2/7 in decreasing order.
g, -2/7, -17
Suppose -57 + 17 = -8*i. Put -3, 0, i, 0.04 in ascending order.
-3, 0, 0.04, i
Let r = 0.04 + 0.26. Put -4, 1/2, r in ascending order.
-4, r, 1/2
Let b = -30 - -28. Put b, 0.3, 4 in decreasing order.
4, 0.3, b
Suppose 3*x = 3*r + 3, 4*r = -2*x + r - 13. Let s = 9 - 6. Suppose -s - 3 = 2*v. Put 2, x, v in decreasing order.
2, x, v
Let o(h) = -h**3 - 14*h**2 - 12*h + 15. Let z be o(-13). Let v(y) = -y + 3. Let b be v(z). Sort b, 0, -1.
-1, 0, b
Suppose -15 = -6*c + 5*c. Let d = c - 20. Sort -4, d, 2.
d, -4, 2
Let l = 98.7 + -103. Put -3, -0.4, l in ascending order.
l, -3, -0.4
Let d = 0.2 - 0.3. Let c = -799/9 + 89. Let j = -300 - -301. Sort c, d, j in descending order.
j, c, d
Suppose -3*n + 7 + 5 = 0. Let d be (-46)/(-12) - (-2)/12. Suppose -d*a = 3*i - 5*a + 16, -21 = 5*i + 4*a. Put n, i, 1 in descending order.
n, 1, i
Let s be (6/9)/(2/21). Sort -3, -5, s in increasing order.
-5, -3, s
Suppose 2 = 5*w - 8. Sort 4, w, -0.3 in decreasing order.
4, w, -0.3
Let u = 25.91 - 26. Let r = u - 0.11. Sort -1, r, -14 in decreasing order.
r, -1, -14
Let r = -32.19 + 32. Let o = -0.01 + r. Put 0.4, o, -3 in descending order.
0.4, o, -3
Let a be 0 + 4/22 - 966/(-253). Let p be 3/2 - (-2)/(-4). Put 3, a, p in ascending order.
p, 3, a
Let c be (-2)/(-8) + (-98)/840. Sort -1, c, 1.1, -1/6.
-1, -1/6, c, 1.1
Let g(t) = -5*t + 1. Let a be 4/14 - (-20)/28. Let p be g(a). Put p, -1, 3 in increasing order.
p, -1, 3
Let z = 0.3 + 0. Let u(f) = f**2 - 6*f + 1. Let c be u(5). Let a be c/(1*(-1)/(-1)). Put -2, z, a in increasing order.
a, -2, z
Let h be -1*4/(-10) - 22/30. Let d be 2/(-8) - (-17)/4. Put 1, d, h in decreasing order.
d, 1, h
Let g = 341 + -190. Let u = 1361/9 - g. Let c(v) = 4*v**3 + v**2. Let a be c(-1). Sort -0.1, u, a.
a, -0.1, u
Let m(j) = j**2 - 5*j + 4. Let p be m(4). Suppose 3*s + p*d = d + 6, 4*s = 2*d + 10. Put 3, s, -2 in ascending order.
-2, s, 3
Let j = -8 + 5. Let n(g) = -g**3 - 3*g**2 + g + 3. Let y be n(j). Sort 3, -2, y in ascending order.
-2, y, 3
Let a = -39 + 38.9. Sort a, -6, -0.5, 0.5.
-6, -0.5, a, 0.5
Let i = 29 - 33. Put -0.5, i, -3 in descending order.
-0.5, -3, i
Let x(k) = -k**2 - 6*k + 10. Let t be x(-7). Suppose -17 = -d - 2*q - t*q, 3*d - 2*q = 0. Let w be (d/(-30))/(2/(-4)). Put 5, w, 1/7 in decreasing order.
5, 1/7, w
Let y(a) = a**2 + 4*a + 3. Let m be y(-4). Suppose m*k = 5*r - 3, 3 = -0*r - 3*r + 3*k. Sort -7, -2, r.
-7, -2, r
Suppose 0*i + i + 3 = 0. Sort i, -4, 2 in decreasing order.
2, i, -4
Let k = -39 + 37. Let t(d) = -d**3 - 7*d**2 - d - 8. Let n be t(-7). Sort n, 4, k in increasing order.
k, n, 4
Let d be (-6 - (-308)/52)*(-1 - 1). Put 0, d, 2/5, -2/13 in ascending order.
-2/13, 0, d, 2/5
Let a be (2/3)/(2 - 0). Let m = 1.1 - 5.1.
|
{
"pile_set_name": "DM Mathematics"
}
|
r of g?
True
Suppose 217*g - 9465764 = -204*g. Is g a multiple of 146?
True
Let u(y) = 464*y**2 - 6*y - 2. Let i be u(-1). Suppose -3*k = -s - i, -k = -0*k - 3*s - 156. Does 6 divide k?
True
Let u(q) = 3*q**3 + 76*q**2 + 43*q - 7. Is u(-22) a multiple of 11?
False
Let u be 10/(-2) - 210/(-5). Let s = u - 22. Is -54*(s/(-6) - (0 + -2)) a multiple of 2?
False
Let q = -483 - -457. Is (q + 25)/((-2)/914) a multiple of 11?
False
Suppose -1716*x + 171444 = -1690*x. Is x a multiple of 314?
True
Let q be 1675 - (12/8)/((-4)/8). Let i = q - 945. Does 56 divide i?
False
Let b = 264 - 258. Suppose -6490 = -5*t - b*t. Does 77 divide t?
False
Does 60 divide (22560/(-658))/(4/(-322))?
True
Let m = 3591 + 3656. Is 39 a factor of m?
False
Let z(k) = k**2 - 101*k - 4345. Is z(144) a multiple of 56?
False
Suppose 612 = q + 227. Suppose -3*x = 5*w - 1724, -3*w + 1161 = 2*x - 2*w. Suppose 0 = -8*l + x + q. Is l a multiple of 11?
True
Let t(g) = g**3 + 22*g**2 + 42*g + 48. Let d be 9/36 + (-243)/12. Let k be t(d). Suppose 0 = l - k*l + 392. Is 14 a factor of l?
True
Let c(v) = 13*v - 117. Let z be c(12). Suppose -34*m + z*m - 2665 = 0. Does 35 divide m?
False
Let w(r) = 4*r + 2. Let k be w(2). Let u = k + 22. Suppose -q = 7 - u. Does 6 divide q?
False
Let k be (-76)/(-20) - 1/(-5). Let c be (-2)/k + (-1118)/(-4). Is 31 a factor of 2/(-3)*c/(-2)?
True
Let w(q) = q + 1. Let b(t) = 6*t - 8. Let y(m) = -b(m) + 4*w(m). Let j be y(-16). Suppose 7*a = -j + 282. Is 15 a factor of a?
False
Suppose -38380 = -3*d + 41*p - 34*p, 0 = -4*d - 3*p + 51198. Is d a multiple of 29?
False
Let k = -381 - -388. Suppose -154 = -2*p - k*x + 5*x, 4*x + 12 = 0. Is 4 a factor of p?
True
Let j be 2*(-1 - 3/2) - -1. Let b be 376/((6 - 1) + j). Is 23 a factor of b/(-32)*12/(-1)?
False
Let n = -801 + 1135. Let b = n - 325. Is b a multiple of 9?
True
Let t = 85 - 22. Let n be t/28*(5 - 1). Suppose n*y = 46 + 98. Does 11 divide y?
False
Let h(d) = d**3 - 5*d**2 + 10*d + 7. Let a = 56 - 51. Let q be h(a). Suppose -85 - q = -2*k. Does 17 divide k?
False
Suppose -2*q + 2239 = -2*w - 16013, -4*w - 27378 = -3*q. Is q a multiple of 39?
True
Suppose -10*j + 9*j - 3*q = -2, 5*j - 22 = -3*q. Suppose -j*b = 4*a - 1049, 4*a + 422 = 2*b + 8*a. Does 25 divide b?
False
Suppose -19*l - l = -40. Suppose 5*n - 307 = -2*z, -136 = -5*n + l*z + 167. Is n a multiple of 5?
False
Suppose -56*n + 1374 + 2264 = -4650. Is n a multiple of 13?
False
Is (-114)/((-6)/18*2) a multiple of 2?
False
Let u(x) = -x**3 + 18*x**2 - 2*x - 7. Let k be u(17). Let a = k - 180. Is 11 a factor of a?
False
Suppose n + 5*n - 20900 = -4*n. Does 19 divide n?
True
Let y(t) = 7*t + 3. Suppose 4*m + 2*m - 72 = 0. Does 5 divide y(m)?
False
Let u(v) = 202*v**2 - 62*v - 162. Does 42 divide u(-4)?
True
Suppose 3*y + 4*q = 153, 278 = 5*y + 2*q - 3*q. Let a = y - 65. Let s(h) = -4*h + 18. Is 6 a factor of s(a)?
False
Let u be 104/(-364) - 1/((-14)/(-2852)). Let j = u - -453. Is 16 a factor of j?
False
Let r = -214 - -217. Suppose 5*k - r*i = 1710, -5*k = 5*i - 875 - 835. Is 6 a factor of k?
True
Suppose -n = -5*l + 68 + 2, 0 = 2*l - n - 25. Is (-10)/l - 11724/(-36) a multiple of 15?
False
Suppose -4*n + 65 = n. Suppose 980 = n*s - 1399. Does 5 divide s?
False
Let b(f) = -39*f. Let s be b(8). Let u = -184 - s. Suppose -2*k - 20 = -u. Does 27 divide k?
True
Suppose -5*i + 57240 = -t, -22*t + 20*t - 34337 = -3*i. Is 80 a factor of i?
False
Let s(y) = 3*y - 21. Let j be s(7). Suppose j = 2*f + 9*f - 4840. Suppose 10*z = 6*z + f. Does 10 divide z?
True
Let r = -7229 - -10757. Is r a multiple of 42?
True
Is (-27)/((-21)/63 + 1/4) even?
True
Let b(v) = -24106*v + 1571. Is 178 a factor of b(-1)?
False
Suppose 4*s + c - 2*c - 1308 = 0, 3*s - 1004 = -5*c. Let r = s - 283. Is r a multiple of 3?
True
Let d(z) = -45*z - 32. Let o be d(11). Let m = o + 1046. Is 20 a factor of m?
False
Is 2 a factor of (-1656)/(13/(-2) + 5)?
True
Let i be ((-20)/(-10))/(1/(70/4)). Suppose 0 = -26*b + i*b - 162. Is b a multiple of 2?
True
Suppose 0 = -5*m - 60687 + 22557. Is 64 a factor of 6/15 + m/(-10) + 0?
False
Let q be ((-72)/(-42))/((-16)/(-14) - 1). Let u = -6 + q. Suppose 0 = -y + 1, 5*n + 4*y - 43 = u. Is 3 a factor of n?
True
Let o = 22885 + -11224. Does 41 divide o?
False
Let a = -2418 - -3319. Is a a multiple of 12?
False
Let h(r) be the first derivative of -5/2*r**2 - 1/4*r**4 - 10*r - 2 - 2/3*r**3. Is 10 a factor of h(-5)?
True
Let z be (((-12)/10)/1)/((-3)/(-10)). Is -1*z/(-28) + (-2106)/(-42) a multiple of 25?
True
Let m = 3055 + -1879. Is 33 a factor of m?
False
Let z(t) = 2*t**3 - 11*t**2 - 48*t + 24. Let o(l) = l**3 - 5*l**2 - 24*l + 12. Let k(g) = 7*o(g) - 3*z(g). Is 3 a factor of k(7)?
False
Let j = -1664 + 732. Let z be j/14 + 33/(-77). Let o = z - -158. Is o a multiple of 13?
True
Suppose 0 = -23*g - 96*g + 122808. Is 43 a factor of g?
True
Suppose -4*h = -5*a + 26, -a = -5*a - 4*h - 8. Does 34 divide 2 + 9358/12 - a/(-12)?
True
Let p be (-111)/4*(-168)/63. Suppose -76*x = -p*x - 6. Suppose 3*m - 5*t = 61, x*m + 2*t = -2*m + 81. Is m a multiple of 4?
False
Let f(z) = -z**2 + 11*z + 1. Let h be f(6). Let d = 40 - h. Suppose 14*t - 245 = d*t. Is t a multiple of 26?
False
Let t(p) = -3*p + 73. Suppose -40 = 41*q - 51*q. Is t(q) even?
False
Let o be 12726/56 - (-3)/4. Let n = o - -850. Is 49 a factor of n?
True
Let i be 0 - (-2 + -258 - -3). Suppose -4617 = 4*j + 23*j. Let m = j + i. Does 16 divide m?
False
Let i(c) = 8*c**2 - 10*c - 15. Let m(s) = -s + 1. Let o(z) = i(z) - 6*m(z). Let v be o(-6). Let n = v - 178. Is 14 a factor of n?
False
Suppose -2*c = -2*o + 65654, 429*o - 164191 = 424*o - 2*c. Is 42 a factor of o?
False
Does 12 divide 5862 - ((-756)/(-147) + 6/7)?
True
Suppose -5*q + 10 + 10 = 0. Suppose -5*f - 3*w + 11 = 0, -q*w - 6 = 5*f - 14. Does 10 divide f/(-20) - (3 - 666/5)?
True
Let f be (-33)/6 - 3/(-6). Let t(a) = -a**3 + a**2 - a + 1. Let d(q) = -4*q**3 + 8*q**2 - 6*q + 2. Let j(n) = -d(n) + 5*t(n). Is 15 a factor of j(f)?
False
Is ((-10)/(-8))/(-4 + 38711/9678)*-2 a multiple of 15?
True
Let v(y) = -3*y**3 + 11*y**2 + 4*y + 189. Does 101 divide v(-11)?
False
Suppose 2*u - 3 = 7. Let h be -2*(1975/10)/u. Let b = h - -130. Is b a multiple of 6?
False
Let c(f) = 2*f**2 + 5*f - 27. Suppose -5*m = -3*m - 40. Suppose 3*j + r - m = 5*r, 2*r = -4*j + 34. Is c(j) a multiple of 23?
False
Let z be (-2)/3*423/(-6). Suppose 4*s - 569 = -48*o + 47*o, 0 = -5*s + 4*o + 727. Suppose -6*k = z - s. Does 8 divide k?
True
Suppose 5 = q, 2*s = 9*q - 12*q + 3. Is 8 a factor of 23904/240*(-10)/s?
False
Let n = 20049 + 15631. Is 13 a factor of n?
False
Let c(p) = -p**2 - 25*p - 24. Let r(n) = n**2 - 5*n - 7. Let z be r(-3). Suppose 2*d + 39 = -3*f, -50 = 5*d + z*f - 19*f. Is c(d) a multiple of 6?
True
Is 5614/8 - 10/(-40) a multiple of 2?
True
Let t(l) = -l**3 - 5*l**2 - 8*l - 10. Let g be t(-4). Suppose 0 = g*z - 9*z - 57. Let m = 35 + z. Does 8 divide m?
True
Suppose -48*c + 53*c = 2*l + 261175, -5*c = -5*l - 261190. Does 155 divide c?
False
Let b = 3307 + 6854. Does 58 divide b?
False
Suppose 4*n = -3*o + 32020, -2*n = 36*o - 41*o + 53332. Is 6 a factor of o?
True
Let a(m) = -70*m + 61. Let r be a(-5). Let v = 761 - r. Is v a multiple of 25?
True
Let x be (28/(-6))/(50/(-75)). Suppose 7 = -4*v + x. Suppose v*t + 6*t = 108. Is t a multiple of 12?
False
Suppose 0 = -89433*c + 89471*c - 757188. Is c a multiple of 4?
False
Is (-216)/324 - (-6556)/6 a multiple of 14?
True
Let q = 703 - 679. Suppose q*f - 4*o = 26*f - 476, 0 = 2*f + 3*o - 474. Is f a multiple of 13?
True
Suppose 80*d = 83*d - 43920. Suppose -30*v - d = -46*v. Is v a multiple of 105?
False
Suppose -3*t - 81 - 78 = 0. Let r = t + 220. Does 4 divide r?
False
Suppose 3*z + 0*z = 336. Let i = z - 7. Suppose -3*v + i = -75. Is 15 a factor of v?
True
Does 111 divide (-28)/24*-6 - 263*-18?
False
Let g be (24/(-20))/(197/100 - 2). Suppose 0*l = 2*l + 5*k - g, -l + k + 13 = 0. Is (-7)/((-42)/54)*l a multiple of 9?
True
Let l(n) = -4*n**3 + 303*n**2 + 178*n - 111. Is 47 a factor of l(76)?
False
Let z(i) = 571*i**2 - 5*i + 4. Let p be z(1). Let r = p + -338. Is 27 a factor of r?
False
Let h(x) = 4*x**2 - 5*x - 41. Let m be h(10). Suppose 8*a + m - 2213 = 0. Does 3 divide a?
False
Suppose -2*k - 33*m = -34*m - 110279,
|
{
"pile_set_name": "DM Mathematics"
}
|
*4 + m*o**2 + c + z*o**3 + l*o and give r.
6
Rearrange (3*o - 2*o + 0*o)*(2 + 0 - 3) + 0*o + 0*o - 2*o + (0 + 2*o + 0)*(-5 + 2 + 1) + 2*o - 3*o + 2*o + 4*o - 4 + 4 to m + i*o and give i.
-2
Express 19*z**2 + 6*z**2 - 11 + 11 in the form u*z + i + h*z**2 and give h.
25
Express (2 + 3 - 3)*(8 - 8 + 3*f) - 2*f - 3*f + 3*f - 10 + 0 - 2*f + 5 as b*f + t and give t.
-5
Rearrange -22 - 8*o**2 + 9 + 13 to l*o + y + i*o**2 and give i.
-8
Express 3*r**2 - r + 2*r**3 - 3*r**3 - 22*r**2 + 13*r**2 in the form s*r**2 + j*r**3 + m*r + y and give m.
-1
Express -10*f - 10*f + 2*f as b*f + q and give b.
-18
Rearrange 189*h**3 + 3*h**2 - 188*h**3 + 0*h**2 + 2*h**4 + 2*h to t + g*h**3 + b*h**4 + l*h + w*h**2 and give w.
3
Express -47*m - 16*m - 9*m - 101*m in the form t*m + v and give t.
-173
Express (-3*f**2 - 4*f**2 + 6*f**2 + (0*f - 4*f + 2*f)*(4 - 4 - 2*f) - 6*f + 3*f**2 + 6*f)*(-3 - 2 + 4) in the form s*f**2 + q + n*f and give s.
-6
Express 1 - z**4 - z**3 + 15*z**2 - 17*z**2 + 3*z**2 + 0*z**3 - z in the form f*z + a + w*z**4 + r*z**2 + x*z**3 and give x.
-1
Express -i**2 + 29 - 29 + 38*i in the form f*i**2 + w*i + u and give u.
0
Express (-m + 3*m + m)*(0*m**3 - 11*m**3 - 3*m**3) as g*m**2 + f*m**4 + y*m**3 + c*m + j and give g.
0
Rearrange (-3 + 6 - 1 + (2 - 3 - 1)*(-1 + 1 - 1) - 5 + 1 + 1 + 0 + 5 - 4)*(2*p - 3*p - 2*p) to s + b*p and give b.
-6
Rearrange -2*o**2 + o**3 + 10 - 10 - 4*o to the form a + z*o**2 + n*o**3 + u*o and give u.
-4
Express (6 - 6*v - 6)*(v + 3*v + 0*v) as a + q*v**2 + b*v and give q.
-24
Rearrange -4*r**4 + 5*r**3 + 2*r - 3 + 2 + 2*r**4 + 2 to v*r**3 + a*r + x*r**4 + f*r**2 + w and give x.
-2
Rearrange -g**2 + 3*g**4 - 580*g**3 + g + 580*g**3 to the form f*g**2 + z*g + w*g**3 + t + q*g**4 and give z.
1
Rearrange 11 - 2*r + r - 5 + (-3 + 1 + 1)*(-1 + 1 - r) - 3 + 6*r + 3 to the form a*r + v and give a.
6
Express -u**3 + 3*u**3 + u + 2*u**2 - 2*u + 2*u**4 + 0*u**3 in the form l*u**4 + s*u**2 + m*u**3 + j + o*u and give m.
2
Rearrange (4 - 9 - 2*t**3 + t - 8*t)*(-3*t - 2*t + 4*t) to l*t**3 + z*t**2 + w*t + b*t**4 + y and give w.
5
Rearrange 15 - 15 + 53*b to the form w*b + z and give w.
53
Rearrange -16*k**2 + 0 - 4 + 4 to d*k + v + n*k**2 and give n.
-16
Rearrange -2 - 2*m**3 + 2 - m - 7*m**3 to the form a*m**2 + p*m**3 + k*m + d and give k.
-1
Express (-3 - 1 + 3)*(-4*m + m + 2*m)*(-75 - 16 - 38)*(0*m - m + 0*m) in the form g*m + s + w*m**2 and give w.
129
Rearrange -j**4 + j**2 + 4*j - 2*j**4 - 3*j + 3*j**2 to the form t*j + w*j**4 + y + c*j**2 + m*j**3 and give w.
-3
Express (-16 + 16 - 4*o)*(3*o + 4*o - 6*o) - 3 + o**2 + 3 + (3*o + 2*o - 3*o)*(-2*o + 4*o - 3*o) in the form p*o + j + l*o**2 and give l.
-5
Express g - g - g + (-32 + 14 - 3)*(-2 + 2 - g) in the form k*g + r and give k.
20
Express ((-3*t + t + 3*t)*(4*t**2 - 3*t**2 + 0*t**2) + t**3 + 2*t**3 + 0*t**3)*(-15 + 3*t + 15) in the form u*t**3 + i*t**4 + d + q*t + o*t**2 and give i.
12
Express (-47*d + 84*d - 38*d - 1)*(-4 + 0 + 3) as n + g*d and give g.
1
Express 33*f**2 + 204*f**2 - 46*f**2 as r + z*f + h*f**2 and give r.
0
Express -3*d - 2*d - 973 + 973 as c*d + x and give c.
-5
Express -7 - 3 + 3*u + 0 in the form p*u + d and give d.
-10
Express 3 - 2*z**2 + 4*z**2 + 2 in the form r + i*z**2 + h*z and give r.
5
Express 16*j**2 + 6*j**2 - 23*j**2 - j**4 - j**3 + 10*j - 1 as o*j**4 + u*j**3 + g + x*j + f*j**2 and give f.
-1
Rearrange (-1 + 43 + 20)*(5*r**3 - 4*r**3 - r**2 - 5*r**3) to b*r**3 + y*r**2 + n + d*r and give d.
0
Rearrange 50*n**3 + 50*n**3 - 97*n**3 + 0*n**2 + 8 - n**2 to r*n + p*n**3 + g + m*n**2 and give g.
8
Express -6*u**3 + 7*u**2 - 2*u**2 - 3*u**2 + u**2 in the form h*u + c*u**3 + m*u**2 + j and give m.
3
Rearrange -2 + 1 - v**2 - v**2 + 0*v**2 + 3*v**2 + 0*v**2 + (0 + v + 0)*(-4*v + 0*v + 5*v) + 2*v**2 + 0*v**2 + v**2 to k*v**2 + q*v + h and give h.
-1
Express (l + 1 - 1)*(5*l - l - 3*l)*(16 + 0 + 9) as h*l + k + x*l**2 and give x.
25
Express s + 0 - 3 + 2 + (-2 + 2 - 2)*(-s - 4*s + 3*s) - 2*s - 2*s + 5*s + (-3 - 3 + 3)*(-s + 0*s + 0*s) as w + g*s and give w.
-1
Rearrange -1 - 2*w**2 + 2 + 2 - 5*w**3 + 0 to the form m*w**3 + n + z*w**2 + q*w and give m.
-5
Rearrange (-3 + 2*f + 3*f - 2*f)*(-4*f**2 + 3*f**2 + 3*f**2) + (-2 - 8 + 1)*(0*f**3 + f**3 + f**3) to the form s*f**3 + d*f**2 + g + b*f and give s.
-12
Rearrange (2*z**2 + z**3 - 2*z**2)*(0*z - 1 + z - 4*z) to the form i*z**3 + c + v*z**4 + t*z + m*z**2 and give i.
-1
Express -14*m - 11*m - 3*m as j*m + x and give j.
-28
Rearrange 4*k**4 - 158*k**3 + 3 + 308*k**3 - 152*k**3 to o*k**4 + d*k**2 + l*k + u + h*k**3 and give h.
-2
Rearrange 0*q**4 - 2*q**4 - 9*q**3 - 6*q**3 - 5*q + 16*q**3 + 1 to b*q + v*q**2 + y*q**4 + g + f*q**3 and give y.
-2
Rearrange -d - d**2 + 9*d**2 + 26*d**2 + 3*d to the form c + y*d**2 + j*d and give j.
2
Express 1 - 7*s**2 + 18*s**2 - 9*s**2 + 1 in the form m*s + p*s**2 + r and give p.
2
Express w**3 + 15*w - 2*w**4 + 3*w**4 + 5 - 3 - 3*w in the form o*w**4 + l + d*w**3 + y*w**2 + f*w and give l.
2
Rearrange -2*a**3 - a**3 + 2*a**3 - 9*a**2 + 9*a**2 - 15*a**3 + (a - 2*a**2 - a)*(2*a - 3*a - a) to the form y*a**2 + q*a + w + k*a**3 and give y.
0
Rearrange -3*f**2 - 4*f**2 + 5*f**2 + (5 - 5 - 3*f)*(1 - 2*f - 1) + (0*f - f - f)*(-3*f + f + 0*f) to o*f + s + g*f**2 and give g.
8
Rearrange 3*h**4 - 3*h**4 - h**4 + 2*h**2 + h**3 + 0*h**2 to the form n*h + o*h**4 + y*h**3 + u*h**2 + q and give o.
-1
Rearrange -2*t**3 - t**3 - 4*t**3 + (-2*t - 1 + 1)*(-2*t**2 - t**2 + 2*t**2) + 10*t**3 + 4*t**3 - 7*t**3 to the form v*t + l*t**3 + j + f*t**2 and give l.
2
Rearrange 2*v + v**3 + 4*v**4 - 3*v**3 - 3 - v**2 - 6*v**4 to the form w*v**3 + k*v**4 + z + m*v + i*v**2 and give w.
-2
Express (1 - 6 + 3)*(3 - 3 - 2)*(-5 - 7 + 5)*(-2*v**3 + 2*v**3 - 2*v**4) as r*v**2 + w*v**3 + j*v**4 + h + k*v and give j.
56
Rearrange -31 + 52 + z**2 - 26 to the form a + k*z + i*z**2 and give i.
1
Rearrange -9 + 3*h + 0*h - 1 to l*h + g and give g.
-10
Rearrange -4*u + u - 1 + u - 5*u + 4*u + 2*u + u + 3*u - 5*u + (u - 3*u + 4*u)*(-5 + 4 + 3) + 1 + 2*u - 1 + 0 + 0 - u to l*u + s and give l.
3
Rearrange (q**3 - 3*q**3 + 0*q**3)*(115 + 24 + 57) to the form l*q**2 + u*q**3 + f + p*q and give f.
0
Rearrange (-2*b + 99 - 107 - 2*b)*(b**3 + 4*b**3 - 6*b**3) to the form i + n*b**2 + d*b**4 + k*b + j*b**3 and give j.
8
Rearrange 6 - 4*y + 0*y - 11*y**2 + 6*y - 4 to b*y + n*y**2 + r and give n.
-11
Express 3*p**2 - 2*p**2 - 2*p + p**2 - 4*p**2 as z + d*p + r*p**2 and give r.
-2
Express -6 - 188*x**2 + 1 + 2*x + 191*x**2 as r*x + d + v*x**2 and give d.
-5
Express 2*h - 385 + 6*h**2 + 386 - h**4 - 3*h**2 as b*h**3 + v*h**4 + w*h + q + t*h**2 and give t.
3
Rearrange 2*h - 115*h**2 - h**3 + 115*h**2 - 6 to the form f*h**2 + a + u*h + s*h**3 and give u.
2
Express (-g + 0 + 0)*(5 - 4 + 0) + (-1 - 3 + 3)*(-g + 0*g - 4*g) as w + h*g and give h.
4
Express -18*c - 26*c + 13*c - 36*c in the form b + u*c and give u.
-67
Rearrange -v**3 + 2*v - v**3 + 2*v**3 + 9*v**3 + 2*v**2 to f*v + s + p*v**2 + w*v**3 and give w.
9
Rearrange (5 - 3 + 0 + (0 - 3 + 1)*(-1 + 5 - 2))*(c - 7*c - 2*c**2 - 1 + 3*c) to h*c + z*c**2 + i and give i.
2
Rearrange (-10*t + 4*t + 15 + 4*t)*(2 - 4 + 1)*(1 - 5 + 0) to the form a*t + m and give a.
-8
Express -14 + 16 - w**2 - 2*w**3 + 3*w**3 + 3*w as l + f*w**2 + k*w + u*w**3 and give l.
2
Express 57*m + 6*m - 23*m + 1 + 45*m as t + s*m and give s.
85
Express 2*t - 4*t + 4*t + (0 + 0 - 2*t)*(-2 + 1 - 1) + 3 - 3 + t + 0 + 0 + 2*t in the form c*t + p and give p.
0
Rearrange -5*h + 13 + 9 - 30 + 9 to q*h + m and give m.
1
Rearrange 8*u - 9*u - u to the form h + x*u and give x.
-2
Express 1 - 4 + 3 + 11*z**2 as u*z**2 + p*z + n and give u.
11
Express 3*w**3 - 3*w**3 - 2*w**4 + (-w**3 - w**3 - w**3)*(-3*w + 5*w - w) - 2 + 2*w**3 + 2 - 5*w**4 in the form x*w**2 + i + t*w**3 + k*w**4 + o*w and give t.
2
Rearrange 2*y**2 + 5*y**2 + 0*y**2 + (-3 + 4 + 1)*(2*y**2 + 3*y**2 - 2*y**2) to l*y**2 + k + p*y and give l.
13
Rearrange 3 + h**3 - 3 + (h**2 - 2*h**2 + 3*h**2 + (2*h - h + h)*(-h + 0*h - h))*(-h + 0*h - h) to the form i + u*h**2 + j*h + w*h**3 and give w.
5
Rearrange -a**3 + a**3 - 7*a - a**3 to h*a**3 + g*a**2 + f + n*a and give n.
-7
Express 5*r - r**2 + 2*r + 3*r in the form v*r + h + s*r**2 and give v.
10
Rearrange
|
{
"pile_set_name": "DM Mathematics"
}
|
s the smallest value? (a) -0.4 (b) -1 (c) -6.9
c
What is the third smallest value in -14.1, -0.2, -2, -1?
-1
Which is the third smallest value? (a) -10 (b) 19 (c) 1
b
Which is the third smallest value? (a) 0 (b) -5.58 (c) -8 (d) 4
a
Which is the second biggest value? (a) -8 (b) 0.3 (c) -0.1 (d) -0.3 (e) 0.1
e
What is the third smallest value in 3, -4, -514, -2?
-2
Which is the biggest value? (a) 3 (b) 3/8 (c) 1 (d) 1/4
a
What is the second biggest value in 1/3, 20, -6/7?
1/3
Which is the biggest value? (a) -0.4 (b) -296 (c) 0.2
c
What is the second biggest value in 3/34, 3, -0.4, 12?
3
Which is the biggest value? (a) -4/5 (b) -250 (c) 5
c
Which is the third smallest value? (a) -14 (b) 29 (c) -2/21
b
Which is the third biggest value? (a) -330 (b) 3/5 (c) 2
a
What is the second biggest value in -0.1, 2, 116?
2
Which is the second biggest value? (a) 3 (b) 10 (c) 4.9
c
What is the third biggest value in -0.9, 3, -11, -8?
-8
What is the second smallest value in -12, 2/3, 7, 10/7?
2/3
What is the biggest value in -1.2, 0, 0.43, -1/4?
0.43
Which is the fourth biggest value? (a) 5 (b) -3 (c) -0.6 (d) 2
b
What is the fourth biggest value in 15, -4, -5, -101?
-101
What is the second biggest value in -4, -36, 1/4?
-4
Which is the biggest value? (a) -6 (b) 3 (c) 2 (d) -12
b
What is the smallest value in -1/5, 4, 2/7, -4/3?
-4/3
Which is the third smallest value? (a) -0.1 (b) 1 (c) -0.5 (d) 1/37 (e) -10
a
What is the third biggest value in 48, 1, -1?
-1
Which is the fourth smallest value? (a) -7 (b) 6/11 (c) -5 (d) 1/7
b
What is the smallest value in 66, 0.2, 44?
0.2
Which is the second smallest value? (a) -11 (b) 23 (c) 1
c
Which is the third smallest value? (a) 0 (b) 7 (c) 316 (d) 2 (e) -5
d
Which is the smallest value? (a) -25 (b) -0.2 (c) 0
a
Which is the second smallest value? (a) -1/6 (b) -3 (c) 568 (d) -3/8
d
What is the second biggest value in -0.2, 2/5, 0.084?
0.084
What is the fourth smallest value in -0.2, 2/11, 1, -0.4?
1
What is the third biggest value in 10, 0, -2/15, 4, 3?
3
Which is the biggest value? (a) -0.46 (b) -1 (c) -1/10
c
What is the fourth smallest value in 2, 1, -5/2, -2/19, 448?
2
What is the third biggest value in -1/6, 0.081, -2/5?
-2/5
What is the second smallest value in 85, -0.06, -0.3?
-0.06
Which is the smallest value? (a) 4 (b) 0 (c) -8/65
c
Which is the third biggest value? (a) -4 (b) -31 (c) 13 (d) 0.2 (e) -1
e
Which is the second smallest value? (a) -3/2 (b) -1 (c) -3/7 (d) 5.44 (e) 0
b
What is the smallest value in 3/8, -5, -9.4?
-9.4
What is the third smallest value in 1/5, -5, -2047?
1/5
Which is the smallest value? (a) -0.2 (b) 1 (c) 4 (d) -3/5
d
Which is the third smallest value? (a) -0.33 (b) 3 (c) -0.3 (d) 0.1
d
What is the second biggest value in 0.3, 103, -1/4?
0.3
Which is the second biggest value? (a) 0.089 (b) -1/4 (c) 4
a
Which is the biggest value? (a) -1 (b) -2/7 (c) -29 (d) 4
d
What is the smallest value in 1/71, 0.5, 2/3?
1/71
What is the fourth smallest value in -1, 0.12, 0, -1/4, -0.089?
0
What is the second biggest value in 0.18, -0.17, -4, 0.5?
0.18
Which is the second biggest value? (a) 4 (b) 0.5 (c) 687
a
Which is the third smallest value? (a) -0.5 (b) 20 (c) 3/13 (d) 2
d
Which is the second biggest value? (a) 2 (b) 6 (c) -0.3 (d) 4
d
What is the third biggest value in -1.5, 2/11, -4, 3/4?
-1.5
What is the second biggest value in 19.3, -2/17, -2?
-2/17
What is the second smallest value in 331, -2/7, -5/4?
-2/7
What is the second smallest value in -1, 1605, 0.1?
0.1
What is the smallest value in -1/3, 1, 5/4, -5, -0.018?
-5
What is the fourth smallest value in 0, 285, -0.5, 0.2?
285
Which is the biggest value? (a) 2/7 (b) 28 (c) -3 (d) 0.12
b
Which is the second smallest value? (a) -1 (b) -294 (c) 1/2
a
Which is the second biggest value? (a) 4 (b) -9 (c) -1/6 (d) -2
c
What is the third smallest value in 2, -4, -5, -2/17?
-2/17
What is the smallest value in 1/8, -2, 4, 1?
-2
What is the second biggest value in -1013, 1/6, -1/12?
-1/12
What is the third biggest value in 5, 2/11, 0, 0.76?
2/11
Which is the fifth biggest value? (a) -2/3 (b) -1/4 (c) 0.15 (d) -4 (e) -6
e
Which is the fourth biggest value? (a) 2/7 (b) 2 (c) 4/7 (d) 0.7
a
Which is the second smallest value? (a) -7 (b) 3/5 (c) -72
a
Which is the third biggest value? (a) 2/953 (b) 2 (c) -4
c
What is the fifth smallest value in 0, -2, -2/29, -10/9, -1?
0
Which is the smallest value? (a) 66.5 (b) -5 (c) 2
b
Which is the second smallest value? (a) 0 (b) 27 (c) 7/6
c
What is the fourth biggest value in 1/3, 1, -149, -2/5, 1/8?
-2/5
What is the second smallest value in -0.2, -10/17, 6, 1?
-0.2
Which is the third biggest value? (a) -2 (b) 1/3 (c) -49
c
What is the biggest value in 4, 2/11, -103?
4
Which is the smallest value? (a) 37/3 (b) 1/7 (c) -0.5 (d) 1/11 (e) 0.3
c
Which is the second biggest value? (a) 0 (b) 0.03 (c) -893
a
What is the second biggest value in 1/9, -3, -162, 5/6?
1/9
Which is the second biggest value? (a) 0 (b) -673 (c) 2 (d) -2/7
a
Which is the third smallest value? (a) -7/5 (b) 5 (c) -0.1 (d) 4 (e) 3/2
e
What is the biggest value in -0.1, 0.3, -12?
0.3
Which is the third smallest value? (a) -0.1 (b) 1/2 (c) -12.9
b
Which is the biggest value? (a) -466 (b) 4 (c) -0.3 (d) -4
b
Which is the second smallest value? (a) -21 (b) 2/9 (c) -20
c
What is the third smallest value in 5, -5, 3, 20?
5
What is the second smallest value in 2, -1/7, 0.4?
0.4
Which is the second smallest value? (a) 0 (b) -1/3 (c) 0.056 (d) -0.3 (e) 5
d
What is the second biggest value in 0.2, 271/5, -0.1?
0.2
Which is the second smallest value? (a) 0 (b) -12/7 (c) -2
b
Which is the second smallest value? (a) -1 (b) 113 (c) 2/3
c
Which is the biggest value? (a) 2/17 (b) -1/3 (c) 0 (d) 0.3
d
What is the second biggest value in -2/7, 5, -0.5, 1?
1
What is the fourth biggest value in -0.06, 0.5, -0.2, -5?
-5
What is the biggest value in 4.2, 2/13, 4, -4/7?
4.2
What is the third smallest value in 0.2, -0.8, -0.4, -151, -0.1?
-0.4
What is the third smallest value in 17, 4, 5, -3?
5
Which is the third biggest value? (a) -0.38 (b) -0.4 (c) -3 (d) -16/7 (e) 0
b
What is the third biggest value in -1, -16, -178?
-178
Which is the third smallest value? (a) 0.3 (b) -1 (c) -4/61
a
What is the smallest value in 5, -0.02, -4, 4?
-4
Which is the second biggest value? (a) -2 (b) -3.2 (c) 1/34
a
Which is the third smallest value? (a) -0.05 (b) 4/3 (c) 1/49 (d) -0.2
c
Which is the second smallest value? (a) 4.6 (b) 2 (c) 0.4
b
What is the second smallest value in 0.2, -82, -25.5?
-25.5
Which is the fourth biggest value? (a) 4 (b) 5 (c) 7/5 (d) -4/5 (e) -3
d
What is the second biggest value in -2, 1, 0, -3/2?
0
Which is the fourth biggest value? (a) -6/7 (b) -2/9 (c) 1/3 (d) 383
a
What is the fourth biggest value in 1/20, 4, -0.1, -1?
-1
What is the third biggest value in -2/3, -6, -1/2, -0.05, -2?
-2/3
What is the biggest value in 0.01, -9, -2?
0.01
What is the second biggest value in 1, 78, -1?
1
Which is the third smallest value? (a) -4 (b) -1/4 (c) -0.05 (d) -3.73
b
Which is the third biggest value? (a) -9 (b) 0.0409 (c) -2/5
a
Which is the biggest value? (a) -4/9 (b) -0.2 (c) -2.6
b
What is the fifth smallest value in 1, -5, 6/11, 5, 1/38?
5
Which is the biggest value? (a) 0.06 (b) -13 (c) -4
a
Which is the third smallest value? (a) -1/2 (b) -5 (c) -2/3 (d) 7/9 (e) 1/2
a
What is the third smallest value in 0, -1, 1, -16.7, -2?
-1
Which is the fifth smallest value? (a) 2/13 (b) -9.7 (c) 2/9 (d) -0.1 (e) 5
e
Which is the third biggest value? (a) -26/5 (b) -1 (c) -3/2
a
What is the third smallest value in 2, 4, -4, 19?
4
Which is the biggest value? (a) -1 (b) 13 (c) 20
c
Which is the smallest value? (a) -5 (b) -70/3 (c) -4
b
What is the fourth biggest value in 3, -0.3, 0.3, -4?
-4
Which is the second biggest value? (a) 3 (b) 0.8 (c) 0.46
b
Which is the fourth biggest value? (a) 0 (b) 86 (c) 0.3 (d) -3
d
What is the fourth smallest value in -2/23, 3/4, -3, 7/5?
7/5
Which is the smallest value? (a) 293 (b) 0.5 (c) 4
b
Which
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -6*r - 4001 = -f. What is the common denominator of 67/22 and -4 + r/(-50) - -1?
110
Let d = -160 - -235. Let l = -886 - -1051. What is the smallest common multiple of l and d?
825
Suppose 2*n - 42*s - 39 = -47*s, 0 = 5*s + 25. What is the smallest common multiple of 320 and n?
320
Calculate the common denominator of 25/141 and (-98)/1410*(3/1 - (-1025)/(-300)).
1692
Suppose 0 = m - 3*i - 426, 3*i - 197 + 2303 = 5*m. What is the lowest common multiple of 63 and m?
1260
Let c be 1178/88 + 4/16. Let h = -4320/341 + c. Let k = 2644/3 - 898. Calculate the common denominator of k and h.
93
Let v(c) = -2*c**2 + 103*c + 5904. What is the lowest common multiple of 21 and v(0)?
41328
Calculate the common denominator of 51/22 and 36/25848*(-1 - 80).
7898
Suppose -5*c - 128 - 672 = -5*o, o - 480 = 3*c. Let i be 4/8 + (-33)/6. Find the common denominator of -111/20 and (i/c)/(3/534).
80
Suppose 3*w = -3*a - 1170, -13*a - 765 = 2*w - 16*a. Let q = w - -395. What is the lowest common multiple of q and 22?
88
Suppose -544 = -5*a - 4*t, 4*a + 153 = 5*t + 539. Calculate the least common multiple of 4 and a.
104
Let n = -19850 + 23440. What is the smallest common multiple of 18 and n?
32310
Let m be 3*(-3)/((-324)/(-424)). Let v be (-2 + 186/10)/((-36)/28). Let t = v - m. Find the common denominator of t and -74/9.
45
Let g(p) = -2*p + 2. Let z(i) = i**3 - 34*i**2 - 37*i + 77. Let y be (70/4)/(((-28)/(-14))/4). Calculate the least common multiple of g(-5) and z(y).
84
Calculate the least common multiple of 440 and 35/(-5) - (-173 - (6 - -4)).
880
Let c = 5804 - 957647/165. Find the common denominator of c and 25/121.
1815
Let d(i) = 9*i**3 - 3*i**2 + 3*i - 1. Let g be 1*-6*(-5)/30. What is the least common multiple of d(g) and 8?
8
Let r(o) = -o - 1. Suppose -3*u + u + 2*v = -8, -4 = -4*v. Let m be r(u). What is the common denominator of 38/m*3/(-9) and 7/45?
45
Suppose 0 = -13*i + 12*i + 6160. Let f be 2 + -2 + 0 - (-34042)/i. Let t = f + -362/77. Find the common denominator of -37/40 and t.
40
Let o = -493 + 814. Let i = -2573/8 + o. Calculate the common denominator of 97/(-15)*(-15)/(-12) and i.
24
Let f(b) = b**3 - 13*b**2 + 14*b. Let r(x) = x**3 - 4*x**2 + x + 8. Let q be r(4). Calculate the lowest common multiple of f(q) and 3.
24
What is the common denominator of ((-4389)/(-120))/(-7) - 56/(-27 + 13) and 83/1630?
6520
Suppose -8*s + 36 = -14*s. Find the common denominator of ((-18)/162)/(s/(-39)) and -8/9.
18
Let o(n) = -4*n - 2. Let p(c) = 10*c - 186. Let w be p(33). What is the smallest common multiple of (w/63)/((-2)/(-7)) and o(-2)?
24
Let u be (-338957)/32 + 4 - 0. Let z = 10587 + u. Find the common denominator of -47/20 and z.
160
Let h be (84/49)/(4/14). Suppose -h*p = 56 - 188. What is the lowest common multiple of p and (6/(-4))/(1/(-12))?
198
Let k = 94 + -178. Let b = k - -32. Let r = b - -60. Calculate the least common multiple of 54 and r.
216
Let i(q) = -16*q - 13. Let g be i(7). Let b be (-4)/(-3) - g/75. Calculate the lowest common multiple of 16 and (0 - b/(-3))*22.
176
What is the smallest common multiple of 438 and -357*6/(-28)*((-16)/3)/(-4)?
7446
Let i = -18 - -2. Let l = 8 + i. What is the least common multiple of 33 and (22/l)/((-11)/132)?
33
Find the common denominator of 71/150 and 3/(6/10) + 1973/(-400).
1200
Suppose 47 = 3*d + 7*w - 2*w, -5*d - 2*w + 110 = 0. Suppose 3*i + 497 - 341 = 2*b, -5*i - 92 = -b. What is the smallest common multiple of b and d?
72
Let i(x) = -2*x**2 - 15*x - 3. Let p be i(-7). Suppose -12*q + p*q = -40. Calculate the common denominator of -107/10 and 3 - q/(30/(-97)).
30
Suppose -37 - 51 = 2*b. Let t be b/(-77) - (-92)/(-14). Calculate the smallest common multiple of 10 and ((-2)/t)/(1/54).
90
Let q be 58/145*(-1 - 1994/492). Let f = 266/41 + q. Calculate the common denominator of -5/36 and f.
180
Suppose -3*n = q + 150, -2*q + 4*n - 300 = 3*n. Find the common denominator of -42/55 and (-30)/q*(-3 - (-182)/4).
110
Let m = -64 + 69. Suppose -4*w - 56 = -m*o + 140, -o = -3*w - 48. Suppose -l - 8*h = -5*h - o, l + 2*h - 32 = 0. What is the least common multiple of l and 21?
168
Let o = -9/25874 - -739018/23221915. Calculate the common denominator of 137/6 and o.
10770
Suppose -12*d + 7*d + 45 + 30 = 0. What is the lowest common multiple of d and 1215?
1215
Let q = 7634/81 - 271409/2754. Let y = -9/17 + q. What is the common denominator of 0 - (-90)/68 - 1 and y?
102
Find the common denominator of 13/7 and 22*62/(-341) - (-6748)/1674.
5859
Let q(i) = 476*i**2 + 70*i. Let w be q(1). What is the common denominator of (-95)/(-48) + (-1 - -1) and w/4*13/156?
48
Suppose -56969 = 8*j - 58049. What is the least common multiple of j and 540?
540
Let k be (-5)/(-20) - (-1 - (-514)/8). What is the smallest common multiple of 60 and (2/(-3))/((14/k)/2)?
60
Suppose 0 = 4*d - 3*l - 30 - 9, 3*d - 5*l - 32 = 0. Let f(t) = t**2 - 3*t - 5. Let o be f(-5). Let k = o - d. Calculate the lowest common multiple of 14 and k.
182
Let b(i) = 149*i**2 - 116*i - 6. Calculate the lowest common multiple of 1 and b(4).
1914
Let k(y) = -8359*y - 58. Let b be k(2). Find the common denominator of (b/(-832))/(-3) - -7 and -68/39.
312
Let x be -5*72/(-315)*(-762)/4. Let p = 76781/350 + x. What is the common denominator of 29/70 and p?
350
Suppose -60*g = 1002 - 102. Calculate the common denominator of 57/2 and 3 + 8 + g - 2174/(-624).
312
Let s(q) = 36*q + 7358. What is the lowest common multiple of s(-141) and 10?
11410
What is the common denominator of -61/20 and (-2)/(-20) - (-10682)/(-51520)?
3680
Suppose 812 + 724 = 32*k. Suppose k + 375 = 9*b. Calculate the smallest common multiple of 2/(-8) + (-123)/(-12) and b.
470
Suppose -52*g + 54*g = 30. Let i be -2*(0 + -1) - -5. Let k = 16 - i. What is the lowest common multiple of k and g?
45
What is the common denominator of -111/1550 and 14/(-1)*(214591/6500 - 33)?
7750
Let m(r) = -r**2 - 18*r - 45. Suppose -3*q + 18 = -l, -l - 15 = 4*l. Calculate the smallest common multiple of q and m(-4).
55
What is the smallest common multiple of (4 + 194/(-8))/((-3)/12) and 1575?
14175
Let g = 513334994/2978253 + 1/1323668. Let j = -518/3 + g. Find the common denominator of j and 82/117.
468
Suppose 10 + 17 = 3*b. Let z = 59095/22 + -2687. What is the common denominator of (b/(-96) - 0)*-38 and z?
176
Suppose 3 = 5*r - 2. Let i(z) = -z**3 - 10*z**2 + 2*z + 22. Let j be i(-10). Let p(w) = -4*w + 16. What is the lowest common multiple of r and p(j)?
8
Suppose 5099 - 5981 = -63*g. Calculate the smallest common multiple of 4946 and g.
34622
Let x = 410/117 - 1/234. Let s = -404063/24 - -16842. Calculate the common denominator of s and x.
24
Let c = 2/30063 - -81981781/300630. Let i(p) = 5*p**2 - 6*p + 12. Let n be i(8). Let d = c - n. What is the common denominator of -47/10 and d?
10
Find the common denominator of 19/150 and 36009/36855*7 + -7.
5850
Let j be ((-21)/9 - -1)/((-2)/6). Let g be (-2 + 141)/(2/j). Calculate the common denominator of -5/12 and g/(-20) + 0 + (-1 - -4).
60
Let g = 31271/24544 - 378/767. Let r = -306481/18 + 17031. What is the common denominator of r and g?
288
Let n = 189/20 + -1039/120. Suppose -4*d = 4*j + d + 65, 5*d = -3*j - 55. Find the common denominator of 0 - 2 - 505/j and n.
24
Let j be (-982150)/(-120264) + ((-12)/(-27))/2. Let m be 3/(-12) + 8771/35077. Let l = j + m. Calculate the common denominator of 1/36 and l.
36
What is the common denominator of -52/1239 and (-82)/26*(-96)/(-672)?
16107
Suppose 4*p = 2*z + 27 - 45, -45 = -4*z - p. What is the lowest common multiple of z and 660?
660
Let m = 41331/187 + -221. What is the common denominator of m and 95/484?
8228
Let m be 18/(-99) + 431249/89628. Let t = 9/194 - m. Find the common denominator of t and 5/42.
84
Let r = 94124/33 - 2858. Let y = 1679/198 + r. Calculate the common denominator of -79/132 and y.
396
Let l = 6497 + -6159. What is the smallest common multiple of 56 and l?
9464
Suppose 0 = -5*a + 10, -5*v + 3*a - 103 + 422 = 0. Let y = v + -53. What is the least common multiple of 24 and y?
24
Suppose 31*y + 106 = -22*y. Calculate the common denominator of y/28 + (-6116)/(-462) and 134/28*(-4)/(-6).
42
Let w = 78 + -71. Calculate the least common multiple of w and 1255/30 - 10/(-60).
42
Let o(s)
|
{
"pile_set_name": "DM Mathematics"
}
|
?
0
Let a = 54 + -51. What is the units digit of (-2)/14*a + (-472)/(-7)?
7
Suppose 26*t - 23*t - 258 = 0. What is the tens digit of t?
8
Let i(g) = -162*g + 3. Let m be i(2). Let j = m + 213. Let s = -75 - j. What is the tens digit of s?
3
Let x(w) = 17*w - 4. Suppose 4 + 17 = 3*i. What is the hundreds digit of x(i)?
1
Suppose 0 = -2*v - 4*t - 10, 2*v - 29 = -v + 5*t. Let c(k) = k**2 + 2*k + 1. Let l be c(-1). Suppose -v*n + 5*n - 34 = l. What is the tens digit of n?
1
Suppose r - 18 = -4*q - r, -r = -q + 3. Let l(g) = -g**2 + 5*g - 1. Let i be l(q). Suppose i*t + 0*t = 30. What is the units digit of t?
0
What is the hundreds digit of (-1)/((-11)/2) - (-32552)/44?
7
Let w(b) = -b**3 + 17*b**2 - 20*b + 25. Let h be w(16). What is the tens digit of 18*h/(-6) - -1?
1
What is the tens digit of (-4)/6*915975/(-354)?
2
Let a be (2 + (-2)/4)*16/6. Let y = 26 - a. What is the units digit of y?
2
Suppose -3*g + 410 = -55. What is the hundreds digit of g?
1
Let u be -3*(-4)/(-6) - -7. Suppose 5*x = 2*r + 89, -50 + 145 = 5*x - u*r. What is the tens digit of x?
1
Let c(l) = 2*l + 11. Let s(q) = -q. Let x(p) = -c(p) + s(p). Let o be 12/(-9)*6/1. What is the units digit of x(o)?
3
What is the tens digit of 7*77 + (-8)/(-1 - 1)?
4
What is the units digit of 4/(-14) + 8910/21?
4
Let j(b) = -2*b**2 - 70*b - 21. What is the units digit of j(-7)?
1
What is the thousands digit of (56/140)/((-2)/(-5135))?
1
Let z = 2123 - 509. What is the tens digit of z?
1
Let p be -106 - (0 - 20/(-5)). Let r = -59 - p. What is the units digit of r?
1
Let x = -22 - -36. Let i be -15*(-4 - x/(-3)). Let v(g) = -7*g - 20. What is the units digit of v(i)?
0
Suppose -139 - 41 = -15*l. What is the tens digit of l?
1
Suppose -33*p + 45166 = -869. What is the tens digit of p?
9
Let i = -40 + 69. Suppose -4*o - 5*z = 58, 11 = o + 3*z + i. What is the tens digit of ((-8)/o)/(1/24)?
1
Let z = 439 + 45. What is the hundreds digit of z?
4
Suppose 14056 = 4*u - x - 2003, 3*x = -9. What is the hundreds digit of u?
0
Let j be 20 + 0 + -7 + 4. Let a = j - -68. What is the tens digit of a?
8
What is the hundreds digit of (-5080)/(-25)*45/18?
5
Suppose 35*y - 15*y = 8980. What is the hundreds digit of y?
4
Suppose 0 = u - 4 - 10. Suppose -4*w + u - 46 = 0. Let h = 32 + w. What is the units digit of h?
4
Let t = 123 + -121. Suppose -5*u - 25 = 0, 0*u + 385 = 3*x - t*u. What is the tens digit of x?
2
Let t = -2521 - -4985. What is the units digit of t?
4
Suppose -6*s + 11*s + 2*r = 0, 0 = -3*s - 4*r - 14. Let j be (-167)/(-3) + (-8)/12. Let z = s + j. What is the units digit of z?
7
Let o be (-18)/24 + 6/8. Let u(c) = -1 + o*c - 11 - 9*c. What is the units digit of u(-8)?
0
What is the units digit of 120/(-18)*(1 - 2228/20)?
6
Suppose t + 5*x = 10, 2*x + 2*x = 8. Suppose 9*v = 6*v + 204. Suppose t = -4*w + j + 185, w = 4*j + v - 3. What is the units digit of w?
5
Let h = -35 - -22. Let p(j) = -j**3 - 13*j**2 + j + 16. What is the units digit of p(h)?
3
Suppose -666 = 3*t - 5*n - 4179, 5*n + 4684 = 4*t. What is the tens digit of t?
7
Let i(f) = 43*f**2 + 31*f - 92. What is the units digit of i(3)?
8
Suppose 0 = -j - 5*x - 32 + 112, -j + x + 92 = 0. Let i be ((-1)/2)/((-5)/j). Let d = i + -3. What is the units digit of d?
6
Let k(w) = 1 - 40 - 10*w + 19. What is the tens digit of k(-8)?
6
What is the units digit of ((-1020)/(-425))/(0 + 6/520)?
8
What is the tens digit of (292/(-6) + -2)*(-1170)/24?
7
Suppose 4*q = -l + 1056, -8*l + 3*l = -3*q - 5211. What is the thousands digit of l?
1
Suppose t = v + 2473, -3*v = -2*t - 0*t + 4941. What is the hundreds digit of t?
4
Let h(s) be the first derivative of 7*s**3/3 - s**2/2 + 4*s + 2. What is the tens digit of h(3)?
6
Let j be (-6 - 0)/(7 - 9). Suppose -y + 2*c = -11, -c = j*y - 5*y + 13. Suppose 5*l = 3*l, m - 8 = y*l. What is the units digit of m?
8
What is the units digit of (-6 - (-84)/(-70))/((-2)/90)?
4
Suppose -379 = 4*m - 5*h, m + 48 + 53 = -5*h. Let r = m - -213. What is the hundreds digit of r?
1
Suppose 2*x + 32 = 4. Let h = x + 83. Suppose 0*g - 106 = -3*s - g, -2*s + h = -g. What is the tens digit of s?
3
Let x(t) = 52*t + 418. What is the tens digit of x(14)?
4
Suppose 0 = -8*o - 36 - 268. Let y = o + 125. What is the units digit of y?
7
Let w = -4354 - -7674. What is the units digit of w?
0
Let b = -33 + 44. Suppose -b*k = -4*k - 1421. What is the units digit of k?
3
Suppose -4*f + 40*f - 87624 = 0. What is the hundreds digit of f?
4
Let d(h) = h**3 + 18*h**2 + 30*h - 26. What is the units digit of d(-16)?
6
Let u(x) = -2*x**2 - 4*x + 568. What is the hundreds digit of u(0)?
5
Let q(v) = -2*v**2 - 7*v + 2. Let m(k) = -4*k**2 - 13*k + 3. Let n(g) = 3*m(g) - 5*q(g). Let u be n(-3). Let o(h) = -2*h - 7. What is the units digit of o(u)?
7
Suppose 4*w - 2788 = -4*u, -20 = 4*u - 12. What is the hundreds digit of w?
6
Suppose -t + 2*m + 350 = 0, 0 = t - m + 153 - 505. Suppose -4*d = -2*d + 4*i - 236, -3*d + t = -i. What is the hundreds digit of d?
1
Suppose -31*z + 2199 = -1056. What is the tens digit of z?
0
Let i = -2 - -9. Let r(z) be the first derivative of z**3/3 + z**2/2 + 6*z + 275. What is the tens digit of r(i)?
6
Let z(h) = 363*h**2 - 7*h - 3. What is the thousands digit of z(-2)?
1
Suppose 150 = d + 4*d. Suppose -3*u - x + 30 = 0, d = 3*u - 3*x + 2*x. Suppose u*l - 124 = 6*l. What is the tens digit of l?
3
Suppose 0*j = 10*j - 1890. Suppose 3*g = 4*b - 529, -j - 341 = -4*b + 2*g. What is the hundreds digit of b?
1
Let m = -23 - -38. Let n(z) = z**2 - 16*z + 19. Let v be n(m). Suppose v*d = -8, -3*d = 3*o - d - 116. What is the units digit of o?
0
Suppose 2*z = -1 + 3. Suppose -5*p = -106 + z. What is the tens digit of 160/7 + 3/p?
2
Let g = 1141 + -762. What is the units digit of g?
9
Suppose -23*v = -22*v - 1021. Suppose -12*s + 2833 = v. What is the tens digit of s?
5
Suppose 4*f = 3 + 13. Suppose -74 = -3*h + 2*h - a, 2*a + 140 = 2*h. Suppose -j - h = -5*l, f*l + 3*j + 6 = 56. What is the units digit of l?
4
What is the units digit of (6/(-4) - 2/(-1))*404?
2
What is the thousands digit of 41296/16 - 2*5?
2
Suppose -2*r + 5*r - 2150 = -5*b, 4*b + 728 = r. What is the hundreds digit of r?
7
Let g(i) = i**3 + 2*i**2 - i - 2. Let j be (-18)/10 - 20/100. Let k be g(j). Suppose -3*m - 2*z + 41 = 2*m, k = 3*m - 3*z - 33. What is the units digit of m?
9
Let t(u) = u**3 + 22*u**2 + 44*u + 12. What is the units digit of t(-18)?
6
Let i(u) = -u**3 + u**2 + 34*u + 6. What is the tens digit of i(-7)?
6
Suppose 3*z - 16 = 2. Suppose 2 - z = -x. What is the units digit of 10 + x*3/4?
3
Let n(h) = h**2 + 2*h - 2. Let s be n(-5). Let o(w) = 19*w + 15 + 5 - 13 - 6*w + w**3 - 14*w**2. What is the units digit of o(s)?
7
Let q(h) = h**3 + 4*h + 3. Let s(n) = 3*n**3 - n**2 + 11*n + 8. Let o(f) = -11*q(f) + 4*s(f). Suppose 0 = -5*z - 5 + 30. What is the units digit of o(z)?
4
Suppose 5*j = -37 + 12. Let d(k) = -4*k - 1. Let c be d(j). Let i = 28 - c. What is the units digit of i?
9
Let l(x) = 190*x**2 + 1. Let i be l(-1). What is the tens digit of -5 + i + (-5)/1?
8
Suppose 2*m = 2*l + 46, 0 = l - 2*l + 3. Suppose o - m = 20. What is the tens digit of o?
4
Suppose -2*c = -p + 1, -c - 2*c = -p. Suppose 0*j - k - 806 = -p*j, -814 = -3*j - k. What is the tens digit of j?
7
Suppose -3*c + 37 = -50. Suppose -5*x + p - 62 = -19, -3*p + 49 = -5*x. What is the tens digit of x/4 + c/1?
2
Let r(a) = -2*a**3 - 12*a**2 + 15*a - 61. What is the tens digit of r(-14)?
6
Let d(v) = -24*v + 84. What is the hundreds digit of d(-40)?
0
Let m be -62 - (0 - 8/4). Let h be (m/8)/(-3)*2. Suppose -h*o + 3*j = -21, o - 1 = 5*j - 10. What is the units digit of o?
6
Let f be (-6)/(-4)*(-136)/6. Let n = 146 - 86. Let t = f + n. What is the units digit of t?
6
Suppose -o + 209 = r + 2*o, -3*o + 609 = 3*r. Suppose -2*p = 2*p - r. Suppose 2*q = -2*b + p, -5*q + 96 = -2*q - 4*b. What is the units digit of q?
8
Suppose -4*x + 1704 + 4944 = 2*l, 3*x - 2*l - 4986 = 0. What is the tens digit of x?
6
Let d(b) = -372*b - 404. What is the tens digit of d(-6)?
2
Suppose 39182 = 14*o + 11588. What is the hundreds digit of o?
9
Suppose 2*y + 1 = 2*o + 9, -20 = 5*o. Suppose y = 4*b - 2*u + 24, -6*b + 3*b = -2*u + 20. What is the tens digit of b/8*4 - -31?
2
Let k(m) = -3*m**2 + 11*m + 8. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
e first derivative of 5*j**4/4 - 190*j**3/3 - 205*j**2/2 + 390*j + 850. Let z(i) = 0. What is i?
-2, 1, 39
Suppose 0 = 2*n + 3*v - 17, n + v = -0*n + 7. Find s, given that -8*s**3 - 10*s**n + 3*s**3 - 121*s**5 + 136*s**5 = 0.
-1/3, 0, 1
Factor -87 + 91*q + 27 + 4*q**2 + 103*q - 250*q.
4*(q - 15)*(q + 1)
Let q = -539/5 - -3793/35. Let p(d) be the second derivative of -3*d + q*d**2 - 2/105*d**6 - 1/14*d**4 + 0 - 8/21*d**3 + 1/10*d**5. What is h in p(h) = 0?
-1, 1/2, 2
Let n(y) be the second derivative of 0*y**3 + 0 - 1/70*y**5 + 0*y**2 + 1/42*y**4 + 13*y. Determine m, given that n(m) = 0.
0, 1
Let u = 37015 + -37013. Solve -x + 4/3*x**u + 0 - 1/3*x**3 = 0.
0, 1, 3
Factor -1/9*n**3 + 2/3 - 13/9*n + 8/9*n**2.
-(n - 6)*(n - 1)**2/9
Let k(x) = x**3 + 10*x**2 + 9*x + 3. Let m be k(-9). Factor -10*l**2 + 5*l - 19 + 9 + 10 + 5*l**m.
5*l*(l - 1)**2
Let l be (-809)/2427*1*(-1)/2. Let z = -1/3 + 1/2. Determine k so that -1/6*k**5 + 1/3*k**3 + 1/3*k**2 - 1/6*k**4 - z - l*k = 0.
-1, 1
Let j(f) = -f**2 + f + 1. Let b(i) = -6*i - 1. Let x(c) = -b(c) - j(c). Factor x(s).
s*(s + 5)
Suppose 504 = 4*q + 2*z, q - 3*z - 32 = 87. Suppose -o + q = 4*o. Solve 6*s - 18*s**2 - o*s - 5*s - s**3 + 15*s**3 + 8 = 0 for s.
-1, 2/7, 2
Suppose 26*c - 72 = 14*c. Let f(s) be the second derivative of 1/14*s**7 - 4*s - 1/4*s**4 + 1/10*s**c - 3/20*s**5 + 0*s**2 + 0 + 0*s**3. Solve f(x) = 0 for x.
-1, 0, 1
Let x(l) = -l + 1. Let k be x(-12). Suppose 5*n - n - 22 = -5*r, k = 5*n - r. Factor 1/3*d**n + 0 - 1/3*d + 1/3*d**2 - 1/3*d**4.
-d*(d - 1)**2*(d + 1)/3
Let i(s) be the third derivative of -s**7/2310 - s**6/220 - s**5/60 - s**4/44 + 169*s**2 - s. Factor i(g).
-g*(g + 1)*(g + 2)*(g + 3)/11
Let q(n) be the second derivative of n**5/8 + 5*n**4/4 - 105*n**3/4 + 135*n**2 - 2*n + 1. What is u in q(u) = 0?
-12, 3
Let i(w) be the third derivative of -w**7/2205 - 5*w**6/252 - 4*w**5/15 - 4*w**4/7 - 3*w**2 + 5. Factor i(s).
-2*s*(s + 1)*(s + 12)**2/21
Let k(h) be the second derivative of -5*h**4/12 - 15*h**3/2 + 280*h**2 - 2*h - 1. Suppose k(w) = 0. What is w?
-16, 7
Let q be 4/6 - 16/216*(-54)/(-24). Factor 3/2*y**3 - 2*y + 0 + 2*y**2 + q*y**5 - 2*y**4.
y*(y - 2)**2*(y - 1)*(y + 1)/2
Let f(v) = -55*v**4 + 190*v**3 - 155*v**2 + 20. Let c(i) = -8*i**4 + 27*i**3 - 22*i**2 + 3. Let o(j) = 20*c(j) - 3*f(j). Factor o(l).
5*l**2*(l - 5)*(l - 1)
Let s(u) = u**3 - u + 3. Let b be s(0). Let v be -6 + (-56)/(-10) + 20/25. Determine l so that -12/5*l**b + 0 - v*l - 2*l**2 = 0.
-1/2, -1/3, 0
Suppose -3*c + 4*c - k = -36, -3*c + 4*k = 104. Let y be (((-288)/c)/(-6))/(2/(-5)). Solve 0*d - 1/5*d**2 + 1/5*d**4 + 0 + 0*d**y = 0 for d.
-1, 0, 1
Let i(x) be the second derivative of -x**4 - 56*x**3/3 + 40*x**2 + 27*x - 2. Solve i(g) = 0.
-10, 2/3
Suppose -3 + 28 = 5*s. Suppose -3*l + 27 - 6 = -s*c, 2*l - c - 7 = 0. What is o in -1/4*o**3 + 0*o**l + 1/4*o + 0 = 0?
-1, 0, 1
Let d = -1103 + 1105. Let l(x) be the first derivative of 1/7*x**3 + 3/14*x**d - 3/35*x**5 - 3/28*x**4 - 4 + 0*x. Factor l(o).
-3*o*(o - 1)*(o + 1)**2/7
Let r(q) be the third derivative of 2*q**7/105 + 2*q**6/15 - 28*q**5/15 + 16*q**4/3 - 2*q**2 + 50. Factor r(p).
4*p*(p - 2)**2*(p + 8)
Let w = -30 + 37. Let x(a) = a**3 - 5*a**2 - 15*a + 7. Let z be x(w). Determine d, given that z + 1/5*d**2 + 1/5*d**3 - 1/5*d**4 - 1/5*d = 0.
-1, 0, 1
Let l(j) be the third derivative of -j**7/315 - j**6/60 + 44*j**5/45 + 104*j**2. Suppose l(n) = 0. Calculate n.
-11, 0, 8
Let p be (8 - -2)*12/8. Let k be (4/(-5))/((-6)/p). Factor 2*z + 3*z + z**k - 13*z + 16.
(z - 4)**2
Factor -51 + 9*z**2 - z**3 - 11*z + 11*z - 57.
-(z - 6)**2*(z + 3)
Let b(z) be the first derivative of -2/13*z**2 + 0*z + 10/39*z**3 - 2/13*z**4 + 3 + 2/65*z**5. Find p such that b(p) = 0.
0, 1, 2
Let h be 0 + 1 + (36 - -5). Let z = -38 + h. Let -16/3 + 4/3*x**2 + z*x = 0. Calculate x.
-4, 1
Let z(s) be the first derivative of s**3/3 - 22*s**2 + 484*s + 36. Factor z(w).
(w - 22)**2
Factor -22*q**3 + 67*q**3 - 202*q**4 - 60*q**2 + 192*q**4 + 10*q + 10*q.
-5*q*(q - 2)**2*(2*q - 1)
Let t(b) = 3*b**2 - 37*b + 5. Let u(g) = g**2 - g + 1. Let p(w) = -2*t(w) + 10*u(w). Factor p(y).
4*y*(y + 16)
Let 0 + 0*m**3 + 3/5*m**2 + 0*m - 3/5*m**4 = 0. Calculate m.
-1, 0, 1
Let v(s) = -2*s + 2. Let d be v(9). Let o be (-6)/30 - d/5. Factor -5*r**o - 31 + 31 + 6*r**2 - r.
-r*(r - 1)*(5*r - 1)
Suppose -2*q + 35 = -g, q + 3*g - 7 = -0*g. Find x such that -31*x**4 + q - 11*x + 64*x**4 + 8*x**3 - 5*x - 12*x**2 - 29*x**4 = 0.
-2, 1
Let z(o) be the first derivative of -o**5/15 - 5*o**4/24 - o**3/6 + o**2/12 - 3*o - 9. Let b(t) be the first derivative of z(t). Factor b(a).
-(a + 1)**2*(8*a - 1)/6
Suppose -2*r + 6 + 2 = 0. Factor -3*t**2 + 19 - 2*t - r*t - 19.
-3*t*(t + 2)
Let n be 3 + (-1340)/(-36) + (-2)/9. Determine j, given that -18*j**2 + 16*j - 16*j**3 + n*j**2 - 12 - 14*j**2 + 4*j**4 = 0.
-1, 1, 3
Let o = -515 + 515. Let j(u) be the third derivative of 0 - 1/8*u**3 - 1/16*u**4 + 4*u**2 - 1/80*u**5 + o*u. Let j(f) = 0. Calculate f.
-1
Let -m**2 + 2*m + 0*m**2 + 4*m - 580 + 607 = 0. What is m?
-3, 9
Let d(x) = x**4 + 3*x**3 - 1. Let b(y) = 3*y**4 - 3*y**3 - 1. Let v(c) = b(c) - d(c). Factor v(r).
2*r**3*(r - 3)
Let k(x) = 4 + x + 0*x - 5 + 2*x**2. Let z be k(-2). Factor z - 8 - 2*h**2 + 2*h**4 + 3.
2*h**2*(h - 1)*(h + 1)
Factor 9*j**2 - 36*j - 28*j**2 + 19*j**2 + 12*j**2 - j**3.
-j*(j - 6)**2
Let b(v) be the first derivative of -3*v**5/80 + v**4/8 - 59*v - 22. Let a(w) be the first derivative of b(w). Factor a(u).
-3*u**2*(u - 2)/4
Let i(s) be the third derivative of -5/6*s**3 + 0*s**4 - 5*s**2 + 0*s + 0 + 1/12*s**5. Factor i(c).
5*(c - 1)*(c + 1)
Let j be 9/210*(-1426)/(-69) + (-6)/10. Factor -j - 1/7*r**5 - 3/7*r + 2/7*r**2 + 0*r**4 + 4/7*r**3.
-(r - 2)*(r - 1)*(r + 1)**3/7
Let z(b) be the second derivative of 1/15*b**6 - 4*b**2 + 2/5*b**5 - 4/3*b**3 + 0 + 4*b + 1/2*b**4. Find s such that z(s) = 0.
-2, -1, 1
Let t(b) be the third derivative of b**6/40 + 2*b**5/5 + 9*b**4/8 - 9*b**3 + 126*b**2. Factor t(w).
3*(w - 1)*(w + 3)*(w + 6)
Let w(x) = 4. Let l(b) = -117*b**2 - 123*b**2 + 45 + 241*b**2 - 6*b. Let y(n) = 4*l(n) - 36*w(n). Factor y(p).
4*(p - 3)**2
Let y(k) be the first derivative of -2*k**3/9 + 10*k**2/3 - 16*k - 261. Let y(v) = 0. Calculate v.
4, 6
Let o be (2/(-6))/((-1)/18). Let g(y) = y**2 - 5*y - 4. Let t be g(o). Solve -a**2 + a**2 + 2*a**3 + 2*a**t - 4*a**2 = 0 for a.
0, 1
Let u(f) = -2*f**3 + 10*f**2 + 8*f - 16. Let r be u(7). Let t be (r/(-1365))/((-4)/(-10)). Factor 0*s + 0*s**4 + t*s**3 + 0*s**2 - 2/7*s**5 + 0.
-2*s**3*(s - 1)*(s + 1)/7
Let h(y) be the first derivative of 6*y**5/35 + 13*y**4/14 - 20*y**3/21 - 10. What is q in h(q) = 0?
-5, 0, 2/3
Let t(j) be the second derivative of j**6/75 - j**5/20 - j**4/60 + j**3/5 - 422*j. Factor t(p).
p*(p - 2)*(p + 1)*(2*p - 3)/5
Let z(a) = -a**3 + 20*a**2 - 34*a + 7. Let y be z(18). What is j in -84*j + y*j + 5*j**2 + 41*j = 0?
0
Determine y, given that 0 + 1/2*y**2 + y**3 + 1/2*y**4 + 0*y = 0.
-1, 0
Let r(s) be the first derivative of -4*s + 5 + 2/3*s**3 + s**2. Factor r(u).
2*(u - 1)*(u + 2)
Find k such that 9051*k**2 - 9055*k**2 - 5*k**3 + k**3 = 0.
-1, 0
Let x(n) be the third derivative of 0*n**6 + 0 - 10*n**2 + 1/30*n**5 + 1/18*n**4 + 0*n**3 - 1/315*n**7 + 0*n. Determine r so that x(r) = 0.
-1, 0, 2
Let q be ((-5 - -4)/1)/(-6 - -1). Let z(f) be the third derivative of 7/120*f**4 - 1/100*f**5 + q*f**3 + f**2 + 0 + 0*f. Factor z(r).
-(r - 3)*(3*r + 2)/5
Let f(s) be the third derivative of -2/3*s**4 + 10*s**2 + 0 + 0*s**3 + 1/30*s**6 + 0*s + 0*s**5. Factor f(v).
4*v*(v - 2)*(v + 2)
Factor -12/7*t**2 + 6/7*t**3 - 24/7 - 6*t.
6*(t - 4)*(t + 1)**2/7
Let z(c) be the first derivative of c**3/18 - 25*c**2/4 - 38*c/3 - 392. Find m, given that z(m) = 0.
-1, 76
Let o = 39 + -389/10. Let d(f) be the second derivative of 0*f**3 + 0 + 5*f - 1/21*f**7 + 0*f**4 + 0*f**2 - o*f**5 + 2/15*f**6. Solve d(w) = 0.
0, 1
Let j(q) be the second derivative of -q**4/12 - q**2/2 + 8*q. Let i(o) = 4*o**3 - 20*o**2 + 8. Let k(c) = i(c) - 8*j(c). Factor k(b).
4*(b - 2)**2*(b + 1)
Suppose -10/3*c + 16 - 2/3*c**2 = 0. What is c?
-8, 3
Suppose -2*j + 23 = 5. Suppose -1 = f + 2, -f = 4*g - j. Factor g - 16*q**2 + 12*q**3 + 2 + 3 - 4*q.
4*(q - 1)**2*(3*q + 2)
Let p = 6 + -1. Let d be
|
{
"pile_set_name": "DM Mathematics"
}
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lacement from bhbhhffhhfhhhhh.
1/455
What is prob of sequence qkbk when four letters picked without replacement from {k: 2, b: 1, l: 1, q: 2, t: 2, v: 1}?
1/756
What is prob of sequence ombi when four letters picked without replacement from mibfofboff?
1/1260
What is prob of sequence auwf when four letters picked without replacement from {a: 1, n: 3, f: 5, w: 3, r: 1, u: 2}?
1/1092
What is prob of sequence ff when two letters picked without replacement from kkooooooooofooofokf?
1/57
Calculate prob of sequence xu when two letters picked without replacement from {n: 2, x: 2, u: 3, z: 2, p: 1, c: 4}.
3/91
Calculate prob of sequence yw when two letters picked without replacement from {z: 7, y: 2, h: 1, n: 2, w: 1, j: 2}.
1/105
Calculate prob of sequence ja when two letters picked without replacement from {j: 1, b: 3, a: 9, c: 1}.
9/182
What is prob of sequence pk when two letters picked without replacement from {k: 2, u: 1, w: 1, s: 2, p: 1, t: 1}?
1/28
Two letters picked without replacement from dyyydgbddyccbyydgy. What is prob of sequence by?
7/153
Two letters picked without replacement from {f: 12, g: 7, q: 1}. Give prob of sequence qg.
7/380
Four letters picked without replacement from {l: 2, c: 6, u: 1, b: 1, s: 5}. Give prob of sequence lcbu.
1/2730
Calculate prob of sequence xixx when four letters picked without replacement from iiuxuxix.
3/280
Calculate prob of sequence kpep when four letters picked without replacement from {p: 2, u: 1, k: 1, e: 3}.
1/140
Two letters picked without replacement from twrwt. Give prob of sequence tr.
1/10
Calculate prob of sequence nou when three letters picked without replacement from {n: 3, o: 1, u: 2, c: 1, m: 5}.
1/220
Calculate prob of sequence mmmy when four letters picked without replacement from ymyaybaayymmbyyyyyy.
11/15504
Two letters picked without replacement from vvjvjvjcjcjnmcvvvn. What is prob of sequence nj?
5/153
Calculate prob of sequence sp when two letters picked without replacement from sssssspssspsppssss.
28/153
What is prob of sequence ge when two letters picked without replacement from {e: 8, g: 7, t: 3}?
28/153
What is prob of sequence dd when two letters picked without replacement from {y: 1, j: 5, d: 2, u: 3, n: 1}?
1/66
Four letters picked without replacement from {f: 5, h: 3, c: 8}. What is prob of sequence chfc?
1/52
Calculate prob of sequence pz when two letters picked without replacement from ztztvppztttzvzvzztzt.
4/95
What is prob of sequence oj when two letters picked without replacement from ojaa?
1/12
What is prob of sequence cmj when three letters picked without replacement from {j: 2, c: 9, m: 3, p: 3}?
9/680
Calculate prob of sequence jljl when four letters picked without replacement from {k: 4, h: 9, j: 4, l: 2}.
1/3876
Three letters picked without replacement from tddmgnutu. Give prob of sequence tmt.
1/252
What is prob of sequence op when two letters picked without replacement from bojpcppcbogpojo?
8/105
Two letters picked without replacement from {v: 3, t: 1, x: 3}. What is prob of sequence tx?
1/14
Calculate prob of sequence cchh when four letters picked without replacement from {h: 2, n: 4, a: 3, q: 2, c: 3, f: 2}.
1/3640
Calculate prob of sequence dwfh when four letters picked without replacement from {h: 4, d: 3, f: 1, w: 2}.
1/210
Calculate prob of sequence yil when three letters picked without replacement from yfilk.
1/60
What is prob of sequence sn when two letters picked without replacement from kamns?
1/20
What is prob of sequence labb when four letters picked without replacement from {b: 5, l: 4, a: 2, v: 4}?
4/819
Calculate prob of sequence ssqs when four letters picked without replacement from {s: 3, q: 11, x: 1}.
11/5460
Calculate prob of sequence eh when two letters picked without replacement from gwwhegzeeg.
1/30
What is prob of sequence ktd when three letters picked without replacement from stmkdkq?
1/105
What is prob of sequence pzpp when four letters picked without replacement from {s: 1, n: 1, h: 3, o: 2, p: 11, z: 1}?
55/5168
Two letters picked without replacement from jxv. What is prob of sequence vj?
1/6
Three letters picked without replacement from {b: 7, g: 2}. What is prob of sequence bgb?
1/6
Three letters picked without replacement from {f: 5, l: 3, a: 1, u: 8, j: 3}. Give prob of sequence uuf.
7/171
Calculate prob of sequence sssl when four letters picked without replacement from nslsbnnnsssn.
1/198
Three letters picked without replacement from {s: 5, d: 1, u: 1, t: 7, n: 2, k: 1}. Give prob of sequence dnk.
1/2040
Four letters picked without replacement from {s: 1, k: 3, b: 2, a: 11, q: 1, n: 1}. Give prob of sequence kakn.
11/15504
What is prob of sequence kkk when three letters picked without replacement from nkknkkkkknknnnnkknnn?
2/19
Two letters picked without replacement from {n: 2, h: 4}. What is prob of sequence nh?
4/15
Two letters picked without replacement from {i: 7, h: 5, c: 3, d: 4}. Give prob of sequence ii.
7/57
Four letters picked without replacement from {g: 5, b: 4, c: 1}. What is prob of sequence ggbb?
1/21
Four letters picked without replacement from ynxyynbxuyuyxy. Give prob of sequence byyu.
5/2002
Calculate prob of sequence yz when two letters picked without replacement from zzzxxzhxhxhhhyylxhxh.
2/95
Three letters picked without replacement from wwwwwwwbwwwww. Give prob of sequence bww.
1/13
Three letters picked without replacement from ddddgg. Give prob of sequence gdd.
1/5
What is prob of sequence ss when two letters picked without replacement from sssssssssssb?
5/6
Three letters picked without replacement from dpppwww. What is prob of sequence pwd?
3/70
Two letters picked without replacement from {r: 9, x: 1, o: 4}. Give prob of sequence rr.
36/91
Three letters picked without replacement from {q: 3, r: 5, n: 1, o: 1, c: 1}. Give prob of sequence rco.
1/198
Four letters picked without replacement from {v: 5, g: 4, q: 4, c: 6}. Give prob of sequence qvgv.
10/2907
Two letters picked without replacement from msltlji. Give prob of sequence tl.
1/21
Calculate prob of sequence kk when two letters picked without replacement from ggkgkkgkgkggggkggg.
5/51
What is prob of sequence mbb when three letters picked without replacement from xbbmbbdxxbxbbxbdmdd?
56/2907
Calculate prob of sequence mtm when three letters picked without replacement from mntxmnmsmmsn.
1/66
Four letters picked without replacement from fwrafofffofrof. What is prob of sequence fwar?
1/1716
Two letters picked without replacement from chahhahhhhharhahhair. What is prob of sequence ha?
11/76
What is prob of sequence bbbb when four letters picked without replacement from {b: 13, g: 5}?
143/612
Two letters picked without replacement from axkxp. What is prob of sequence kx?
1/10
What is prob of sequence mmz when three letters picked without replacement from azzzmcpmaa?
1/120
What is prob of sequence uua when three letters picked without replacement from {u: 4, a: 1, x: 3}?
1/28
Three letters picked without replacement from evvveeeevvvv. Give prob of sequence eev.
7/66
Calculate prob of sequence hjj when three letters picked without replacement from xjhxxcccxxxcxjxjcj.
1/408
What is prob of sequence sses when four letters picked without replacement from sssssesssse?
7/55
Calculate prob of sequence ppcc when four letters picked without replacement from {n: 1, p: 5, c: 4}.
1/21
Calculate prob of sequence zs when two letters picked without replacement from {z: 1, w: 1, r: 2, h: 4, j: 1, s: 6}.
1/35
Two letters picked without replacement from aapaaaaapaaaapaaaaaa. What is prob of sequence ap?
51/380
Two letters picked without replacement from {n: 1, x: 7, p: 1, c: 8, h: 1, o: 2}. Give prob of sequence cc.
14/95
Two letters picked without replacement from {a: 4, y: 1, e: 2, c: 2, d: 4, r: 1}. Give prob of sequence er.
1/91
Calculate prob of sequence kou when three letters picked without replacement from iznnoniuzzku.
1/660
Two letters picked without replacement from qbbshan. Give prob of sequence sn.
1/42
Three letters picked without replacement from mkvxvmmvmmvvmt. Give prob of sequence vvm.
5/91
Two letters picked without replacement from {n: 9, t: 5, u: 2}. What is prob of sequence nt?
3/16
Calculate prob of sequence jzwj when four letters picked without re
|
{
"pile_set_name": "DM Mathematics"
}
|
common divisor of 31 and i.
31
Let m = -3440 - -3536. Calculate the greatest common divisor of 5136 and m.
48
Suppose -20 = 3*t - 29. Suppose 5*y = 4*z + 464, -t*y + 0*y + 284 = -z. What is the greatest common divisor of y and 72?
24
Let i = 31 + -36. Let w(f) = -2*f**3 + 15*f**2 - 2*f - 10. Let j be w(i). What is the highest common divisor of j and 25?
25
Let a(j) = j**2 + 2*j - 5. Let d be a(-3). Let g(i) = -47*i**3 - i**2 + 3*i + 4. Let q be g(d). Calculate the highest common divisor of q and 148.
74
Suppose -33 + 18 = -3*h. Suppose -4 = 4*l - h*l. Suppose -2*s = -l*n - 52, 3*n - 60 = -5*s - n. Calculate the highest common divisor of 48 and s.
16
Let g(q) = -q**2 + q - 12. Let y be g(4). Let a(s) = s**2 + 19*s - 117. Let x be a(y). What is the highest common divisor of x and 8?
1
Suppose -5*d = 3*c - 91, 1 = 2*d - 3*d. Let y be (-6)/2 + c + 2. Let s(l) = l**3 - l**2 + l + 279. Let r be s(0). What is the highest common factor of r and y?
31
Let q(w) = -10*w**2 + w + 5. Let c be q(0). Suppose c*n + 4*v - 199 = -31, -4*v - 88 = -3*n. What is the highest common factor of n and 24?
8
Suppose -32617 = -15*w + 3563. What is the greatest common divisor of w and 36?
36
Let o = -12332 + 12458. Calculate the highest common factor of o and 273.
21
Let n(k) = -2*k**3 - 10*k**2 - 56*k - 352. Let p be n(-6). Calculate the greatest common factor of 124 and p.
4
Let t = -334 - -330. Let r(h) = -158*h + 96. Let p be r(t). Calculate the greatest common factor of 56 and p.
56
Let p(i) = -i**3 + 30*i**2 - 59*i + 117. Let l be p(28). Calculate the highest common divisor of l and 22.
11
Let d(z) = -19*z - 60. Let k be d(-10). Let y be k - 1/2*10. Suppose y = 3*p + 2*p. What is the highest common factor of 5 and p?
5
Suppose -2581 = 8*m - 3517. Calculate the highest common divisor of 90 and m.
9
Let r(t) = -t**3 - 70*t**2 - 161*t + 404. Let a be r(-68). What is the greatest common divisor of a and 56?
8
Suppose 0 = -13*d + 10*d + 12. Suppose 2*i - 640 = -c, -1282 = -d*i + 5*c - 8*c. Suppose -4*q + i - 103 = 0. What is the greatest common factor of q and 27?
27
Suppose 3*r = -4*v - 0*r + 461, -v + 114 = 2*r. Suppose -16*w = -12 - v. Suppose -w*k + 13*k = 1480. What is the highest common factor of k and 37?
37
Let t be (-81)/24*(0 - 4)*44/6. Suppose q = -3*m - 24, 4*m - 12 = 5*m - q. Let z = m + 20. What is the greatest common factor of t and z?
11
Let v be -1 + 0 + (-2)/(-6)*1803. Suppose 11*z + 600 = 3*q + 7*z, 3*q + z - v = 0. What is the greatest common divisor of q and 80?
40
Suppose 7*o = -688 + 1136. What is the greatest common factor of o and 2752?
64
Let m be (1 - (1 + 99/2))/(7/(-84)). What is the greatest common factor of m and 36?
18
Let k(a) = a**3 - 14*a**2 - 20*a + 17. Let l be k(15). Let o = 267 + l. Calculate the greatest common factor of 19 and o.
19
Let d be (-375)/(-50) - 9/6. Calculate the greatest common factor of d and 2736.
6
Suppose 3263 = 35*t - 5383 + 2206. What is the highest common divisor of t and 58?
2
Suppose 0 = 4*w + 2*y - 152, w = -3*w + 2*y + 144. Suppose 0 = -2*q + w - 507. Let n = -123 - q. Calculate the greatest common factor of 14 and n.
14
Let t be 64/14 - (-152)/(-266). Let i be 13/t - (-3)/4*1. What is the greatest common divisor of i and 4?
4
Let v(b) = b**3 + 6*b**2 - 1015*b + 9. Let q be v(29). Let z(k) = 7*k**2 + k. Let i be z(-1). What is the greatest common factor of q and i?
3
Suppose 4*y = -0 + 4. Let u be 12 - (4 - (2 - y)). Let m = 356 - 344. Calculate the greatest common factor of u and m.
3
Suppose 40*u + 70*u = 113316 + 89634. Calculate the highest common factor of u and 1025.
205
Let k = 353 + -446. Let r = -70 - k. Calculate the highest common factor of 851 and r.
23
Suppose -1849*n = -1835*n - 392. Let g = 536 + -256. Suppose g = 3*c + c. Calculate the highest common factor of c and n.
14
Let v(c) = c**3 + 38*c**2 - 46*c - 174. Let u be v(-39). Let n(z) = -34*z - 1. Let r be n(-1). Calculate the greatest common divisor of r and u.
33
Suppose 5*r - 56 = 4*c, 2*c + 30 = 4*r - 16. What is the highest common divisor of 135 and r?
3
Let n be 30*42/20*(-12)/7. Let g be ((-26)/(-4))/((-18)/n). Calculate the highest common divisor of 156 and g.
39
Let f(m) = -m**3 - 60*m**2 - 394*m - 163. Let h be f(-53). Calculate the highest common factor of 288 and h.
96
Let h be 6*6/(-24)*2 + 6. Let a be h/(-18) + 939/18. What is the greatest common factor of a and 208?
52
Suppose 21 = -f - 5*r + 64, -3*f - 2*r = -103. Suppose -3*d + 5*d + 4*o - 270 = 0, -5*o + 123 = d. What is the greatest common factor of d and f?
11
Suppose 54*d + 2 = 53*d. Let r be (d + -16)*(40 + -43). Calculate the greatest common factor of 234 and r.
18
Let n(x) be the third derivative of 5*x**4/12 - 17*x**3/6 + 19*x**2 - 1. Let r be n(4). What is the highest common factor of r and 253?
23
Let l be (408/476)/((-3)/(-66570)). Calculate the greatest common factor of l and 60.
60
Let w be ((-26)/12)/(19/(-114)). Suppose -w*i = -364 - 104. Calculate the greatest common factor of 90 and i.
18
Let d(w) = -35*w**3 + 3*w**2 - w. Let j be d(1). Let t be ((-1)/(-2))/(j/(-4554)). What is the highest common factor of 115 and t?
23
Let b be (-6 - -7)/(-2 - (-26)/14). Let t = b + 11. Suppose 0 = -t*w + w + 57. What is the highest common factor of 19 and w?
19
Let r = -680 + 224. Let f be -9 - (r/8 - 9). What is the highest common factor of 3 and f?
3
Suppose 0 = -17*v + 147*v - 20858 - 96792. What is the highest common factor of v and 6516?
181
Let d be (-3)/(-2)*14*(-40)/(-15). Let y be ((-20)/(-5))/((-329)/343 - -1). Calculate the highest common factor of d and y.
14
Let h = 228 + -266. Let z be 119/13 + h/247. Suppose -a - 2*q = -11, 4*q + 0*q = -3*a + 23. Calculate the greatest common divisor of a and z.
1
Let y be 38181/52 - (-2 + (-5)/(-4)). What is the highest common divisor of y and 630?
105
Let h be 2/5 - 2990/(-25). Let o(q) = q**3 + 12*q**2 + 18*q - 29. Let f be o(-7). What is the highest common divisor of h and f?
30
Let k = -608 - -629. Let i be 350/k*(-12)/(-20). Let c(r) = 7*r + 7. Let x be c(9). Calculate the greatest common factor of x and i.
10
Suppose 60*j - 820 = -5*d + 56*j, 3*d - j = 509. Suppose -166*i + d*i - 82 = 0. What is the highest common factor of i and 205?
41
Let d = 88 - 84. Suppose -j + 17 = -2*g, -3*j + 2*j + 19 = -d*g. What is the greatest common divisor of 45 and j?
15
Let s(w) = 2*w**3 - 7*w**2 - 9*w + 10. Suppose 0 = 3*k + 11*o - 16*o - 38, 12 = 4*k + 3*o. Let t be s(k). What is the highest common divisor of t and 34?
34
Let z be 6*((-2)/12)/(33/(-330)). Let a(s) = -s**2 + 5*s - 2. Let r be a(8). Let p = z - r. Calculate the greatest common divisor of 24 and p.
12
Suppose y - 2*v = 13, 0 = -5*y + y - 5*v + 13. Let s(t) = 8*t - 29. Let l be s(y). What is the greatest common factor of l and 36?
9
Suppose 2*i - v = -138, 0 = 2*v + v. Let x = i + 129. What is the greatest common factor of 12 and x?
12
Suppose 4*i + v = -2 + 27, -4*v + 15 = -i. Suppose -9*y + 5*y - 24 = 0. Let s be (y/i)/(18/(-2940)). What is the greatest common divisor of 28 and s?
28
Suppose -50 = -5*q + 5*o, 2 = 30*o - 31*o. Let w(i) = -i**2 - 3*i + 3. Let g be w(-4). Let l = 9 + g. Calculate the highest common factor of l and q.
8
Let u(w) = -w**2 - 23*w - 104. Let q(p) = -p**3 + 11*p**2 - 3*p + 26. Let l be q(11). Let h be u(l). What is the greatest common divisor of 648 and h?
8
Let i = -967 + 973. Suppose i*k - 157 = 23. What is the highest common divisor of 12 and k?
6
Let r = -14 + 20. Let p(a) = 23*a - 20. Let t be p(-5). Let g be ((-10)/(-6) - 0)/(t/(-162)). Calculate the highest common divisor of g and r.
2
Suppose 0 = c - 3*u + 8*u - 24, -3*u = u. Let i = 444 + 108. Calculate the highest common factor of i and c.
24
Suppose 144 = 4*n + w - 3*w, 0 = 3*n + 5*w - 108. Let b(y) = 356*y + 1108. Let j be b(-2). What is the greatest common factor of n and j?
36
Suppose -132*p + 135*p - 183 = 0. Let g = -37 + p. What is the greatest common divisor of 80 and g?
8
Let q be 2/(-73) + 1323304/3869. Calculate the greatest common factor of q and 1044.
18
Suppose 3*t + 2*c = 1587 + 2042, -4*c = t - 1233. What is the highest common factor of t and 5?
5
Let y(v) = 2*v**2 + 2*v + 8. Let n(j) = j**2 + j + 1. Let q be n(2). Let c be y(q). Let d be (70/2)/5 + 6 + -3. Wha
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{
"pile_set_name": "DM Mathematics"
}
|
3 + 560.
5*(d + 1)*(d + 14)*(d + 24)/3
Factor -3*x**4 - 93*x**3 - 504*x**2.
-3*x**2*(x + 7)*(x + 24)
Let 7*t**4/3 + 58*t**3/3 + 100*t**2/3 + 8*t = 0. What is t?
-6, -2, -2/7, 0
Determine u so that 2*u**2/11 - 252*u/11 + 1888/11 = 0.
8, 118
What is f in f**2 + 1978*f + 978121 = 0?
-989
Find g such that -4*g**2 - 120*g - 224 = 0.
-28, -2
Factor -2*u**3/3 + 4*u**2/3 + 22*u/3 - 8.
-2*(u - 4)*(u - 1)*(u + 3)/3
Solve -j**3/6 + 2851*j**2/6 - 1015312*j/3 - 1016738/3 = 0 for j.
-1, 1426
Factor -p**4/5 + 117*p**3 - 113484*p**2/5 + 7183792*p/5 + 22588608/5.
-(p - 196)**3*(p + 3)/5
Factor -k**4 + 25*k**2.
-k**2*(k - 5)*(k + 5)
Solve l**2/3 + 1123*l/3 - 1124/3 = 0 for l.
-1124, 1
Factor p**2/3 + 20*p + 59/3.
(p + 1)*(p + 59)/3
Factor 4*i**4 - 68*i**3 - 96*i**2 + 3008*i - 7168.
4*(i - 16)*(i - 4)**2*(i + 7)
Solve d**4 - 5*d**3 - 4*d**2 + 20*d = 0.
-2, 0, 2, 5
Let -r**3/4 = 0. What is r?
0
Suppose -2*g**5/13 + 2*g**4/13 + 10*g**3/13 - 10*g**2/13 - 8*g/13 + 8/13 = 0. Calculate g.
-2, -1, 1, 2
Factor -3*q**4 + 42*q**3 - 75*q**2 + 36*q.
-3*q*(q - 12)*(q - 1)**2
Find h, given that 4*h**5 + 68*h**4 + 188*h**3 - 260*h**2 = 0.
-13, -5, 0, 1
Suppose -14*l**3 + 52*l**2/3 + 2*l/3 - 4 = 0. What is l?
-3/7, 2/3, 1
Factor -4*g**2 - 5388*g.
-4*g*(g + 1347)
Factor 507*z**3 - 858*z**2 - 300*z - 24.
3*(z - 2)*(13*z + 2)**2
Let 59*i**3/3 - 352*i**2/3 + 460*i/3 + 16/3 = 0. What is i?
-2/59, 2, 4
What is z in 5*z**2 + 4750*z + 1128125 = 0?
-475
Factor -t**3 + 212*t**2 - 11021*t - 22898.
-(t - 107)**2*(t + 2)
Solve -m**4 + 141*m**3 - 683*m**2 + 399*m + 1224 = 0.
-1, 3, 136
Solve -4*o**5/7 - 20*o**4/7 + 32*o**3/7 + 176*o**2/7 - 128*o/7 - 256/7 = 0 for o.
-4, -1, 2
Factor -2*g**3/3 + 8*g**2/3.
-2*g**2*(g - 4)/3
Suppose t**4/4 + t**3/2 - 7*t**2/4 - 5*t - 3 = 0. What is t?
-2, -1, 3
Let 5*x**4 + 30*x**3 - 40*x**2 - 480*x - 640 = 0. Calculate x.
-4, -2, 4
What is q in -5*q**2 + 55*q - 50 = 0?
1, 10
Factor -2*f**3/5 - 18*f**2/5 + 32*f/5 + 24.
-2*(f - 3)*(f + 2)*(f + 10)/5
Determine u, given that 2*u**3/13 + 170*u**2/13 = 0.
-85, 0
Factor -z**2 - 31*z - 30.
-(z + 1)*(z + 30)
Solve -2*q**4/9 - 29*q**3/9 + 20*q**2/9 + 77*q/9 + 10/3 = 0.
-15, -1, -1/2, 2
Factor -2*b**3 - 626*b**2 + 1258*b - 630.
-2*(b - 1)**2*(b + 315)
Suppose -2*d**3/19 - 238*d**2/19 - 6960*d/19 + 7200/19 = 0. What is d?
-60, 1
Factor -3*h**3 + 9*h**2 + 72*h - 240.
-3*(h - 4)**2*(h + 5)
Factor -440*j**3 - 173*j**2 - 3*j.
-j*(8*j + 3)*(55*j + 1)
Factor -9*o**5 - 16*o**4 + 4*o**3.
-o**3*(o + 2)*(9*o - 2)
Solve 2*d**4/11 + 18*d**3/11 - 2*d**2/11 - 18*d/11 = 0 for d.
-9, -1, 0, 1
Let -4*d**4 - 76*d**3 + 12*d**2 + 220*d - 152 = 0. What is d?
-19, -2, 1
Factor -2*o**4 + 44*o**3 - 240*o**2 - 44*o + 242.
-2*(o - 11)**2*(o - 1)*(o + 1)
Suppose -138*v**2 - 280*v - 8 = 0. Calculate v.
-2, -2/69
What is c in -162*c**5/11 - 9*c**4/11 + 190*c**3/11 + 5*c**2/11 - 28*c/11 + 4/11 = 0?
-1, -1/2, 2/9, 1
Suppose 3*v**3/2 + 51*v**2/2 + 105*v = 0. What is v?
-10, -7, 0
Solve 15*y**4 - 2695*y**3 + 120590*y**2 + 42300*y - 81000 = 0.
-1, 2/3, 90
Let 6*j**2 + 37*j + 31 = 0. Calculate j.
-31/6, -1
Let 2*c**5/11 - 1186*c**4/11 = 0. Calculate c.
0, 593
Factor 15*f**3 - 160*f**2 + 215*f + 90.
5*(f - 9)*(f - 2)*(3*f + 1)
Let -q**2 + 34*q + 35 = 0. Calculate q.
-1, 35
What is q in -3*q**5 - 144*q**4 + 450*q**3 - 456*q**2 + 153*q = 0?
-51, 0, 1
Let -h**5/3 + 11*h**3/3 + 6*h**2 + 8*h/3 = 0. Calculate h.
-2, -1, 0, 4
What is r in -2*r**2 - 266*r + 816 = 0?
-136, 3
Determine i so that -i**4 + 13*i**3 + 46*i**2 + 32*i = 0.
-2, -1, 0, 16
Let -4*q**2 + 2040*q - 260100 = 0. What is q?
255
Factor -3*q**3/5 - 129*q**2/5 - 1449*q/5 - 1323/5.
-3*(q + 1)*(q + 21)**2/5
What is m in 4*m**5 - 324*m**4/5 - 12536*m**3/5 - 19880*m**2 - 233436*m/5 + 50764/5 = 0?
-7, 1/5, 37
Determine t so that 2*t**2/23 + 158*t/23 + 1608/23 = 0.
-67, -12
Factor 5*y**2 + 1730*y - 1735.
5*(y - 1)*(y + 347)
Find c, given that c**2/4 - 17*c/2 + 253/4 = 0.
11, 23
Factor -4*z**2/5 - 196*z/5 + 848/5.
-4*(z - 4)*(z + 53)/5
Factor z**2/3 + 2*z/3 - 8/3.
(z - 2)*(z + 4)/3
Factor 36*y**3 - 444*y**2 + 417*y - 102.
3*(2*y - 1)**2*(3*y - 34)
Factor x**3 + x**2 - 33*x + 63.
(x - 3)**2*(x + 7)
Factor -y**5/4 + y**4/4.
-y**4*(y - 1)/4
Factor -2*q**4/5 - 60*q**3 - 10314*q**2/5 + 14040*q - 109512/5.
-2*(q - 3)**2*(q + 78)**2/5
Factor 3*k**3 + 98*k**2 - 33*k.
k*(k + 33)*(3*k - 1)
Solve -4*n**4/3 - 32*n**3/3 + 76*n**2/3 + 488*n/3 - 320 = 0 for n.
-8, -5, 2, 3
Determine b, given that -4*b**3 + 7544*b**2 - 30128*b + 30112 = 0.
2, 1882
Factor -3*a**3/4 + 507*a**2/4 + 516*a + 519.
-3*(a - 173)*(a + 2)**2/4
Find w such that 6*w**5 - 406*w**4 + 3356*w**3 + 118260*w**2 + 533246*w + 164738 = 0.
-7, -1/3, 41
Factor p**5 + 5*p**4 + 3*p**3 - 13*p**2 - 8*p + 12.
(p - 1)**2*(p + 2)**2*(p + 3)
Factor -f**3 - 173*f**2 + 526*f - 352.
-(f - 2)*(f - 1)*(f + 176)
Let 2*x**2/3 - 430*x/3 + 428/3 = 0. What is x?
1, 214
Suppose -5*g**2 + 1710*g - 146205 = 0. What is g?
171
Let 2*o**2 - 6*o + 4 = 0. Calculate o.
1, 2
Factor -2*h**4 + 14*h**3 - 26*h**2 - 6*h + 36.
-2*(h - 3)**2*(h - 2)*(h + 1)
Factor 7*d**3/3 + 9*d**2/2 - 22*d/3 + 1/2.
(d - 1)*(d + 3)*(14*d - 1)/6
Determine y, given that -4*y**5 - 4*y**4 + 16*y**3 + 16*y**2 = 0.
-2, -1, 0, 2
Factor 4*x**3 - 20*x**2 - 56*x.
4*x*(x - 7)*(x + 2)
Find n, given that 2*n**3 + 144*n**2 - 782*n - 924 = 0.
-77, -1, 6
What is b in -2*b**2 - 1282*b + 1284 = 0?
-642, 1
Suppose -2*m**2 - 14*m + 120 = 0. Calculate m.
-12, 5
Determine u, given that -30*u**5 + 448*u**4 + 534*u**3 - 320*u**2 - 504*u - 128 = 0.
-1, -2/3, -2/5, 1, 16
Factor -2*f**3/19 + 212*f**2/19 - 1218*f/19 + 1800/19.
-2*(f - 100)*(f - 3)**2/19
Find r, given that 5*r**3 - 95*r**2 - 110*r + 200 = 0.
-2, 1, 20
Factor -3*v**2 + 2346*v + 2349.
-3*(v - 783)*(v + 1)
What is o in -18*o**5 + 375*o**4/7 - 369*o**3/7 + 117*o**2/7 + 3*o/7 = 0?
-1/42, 0, 1
Find x, given that -x**4/2 + 19*x**3 + 39*x**2/2 = 0.
-1, 0, 39
Suppose 10*m**5/13 - 12*m**4/13 - 68*m**3/13 + 144*m**2/13 - 86*m/13 + 12/13 = 0. What is m?
-3, 1/5, 1, 2
What is b in -2*b**3/5 - 558*b**2 - 259470*b - 40217850 = 0?
-465
Find t, given that -2*t**5 + 70*t**4 - 314*t**3 + 426*t**2 - 180*t = 0.
0, 1, 3, 30
Let -2*h**2 + 188*h - 4418 = 0. Calculate h.
47
Let -4*r**5/7 - 464*r**4/7 - 16776*r**3/7 - 140384*r**2/7 + 1687724*r/7 - 3308208/7 = 0. What is r?
-41, 3, 4
Find x, given that -2*x**5 - 232*x**4 - 6464*x**3 + 17012*x**2 + 92866*x + 69620 = 0.
-59, -2, -1, 5
Factor l**2/2 + 25*l - 52.
(l - 2)*(l + 52)/2
Factor 3*t**2/7 + 60*t/7 + 108/7.
3*(t + 2)*(t + 18)/7
Factor 2*w**2/9 - 32*w/9 - 70/3.
2*(w - 21)*(w + 5)/9
Find y such that -y**5 - 8*y**4 - 5*y**3 + 38*y**2 - 24*y = 0.
-6, -4, 0, 1
Suppose -7*l**2/6 + 38*l = 0. Calculate l.
0, 228/7
Find v such that -v**4/3 - 2*v**3 - 3*v**2 - 4*v/3 = 0.
-4, -1, 0
Suppose -2*k**4 - 10*k**3 - 16*k**2 - 8*k = 0. Calculate k.
-2, -1, 0
Factor 3*f**2 + 9234*f + 9231.
3*(f + 1)*(f + 3077)
Factor -93025*b**3/9 - 278465*b**2/9 + 1829*b/9 - 1/3.
-(b + 3)*(305*b - 1)**2/9
What is a in a**5/3 - 2*a**4/3 - 44*a**3/3 + 142*a**2/3 + 43*a/3 - 140/3 = 0?
-7, -1, 1, 4, 5
Find o such that -2*o**2 - 1254*o = 0.
-627, 0
Let 6*i**5/11 - 190*i**4/11 + 466*i**3/11 - 42*i**2/11 - 472*i/11 + 232/11 = 0. What is i?
-1, 2/3, 1, 2, 29
Let -4*q**3 - 16*q**2 + 320*q - 768 = 0. What is q?
-12, 4
Determine t so that 2*t**5/11 - 218*t**4/11 + 422*t**3/11 + 650*t**2/11 - 848*t/11 - 856/11 = 0.
-1, 2, 107
Factor 27*u**4/4 + 519*u**3/2 + 114*u**2.
3*u**2*(u + 38)*(9*u + 4)/4
Factor h**3 - 129*h**2 - 261*h - 131.
(h - 131)*(h + 1)**2
Solve -3*w**5 - 24*w**4 - 66*w**3 - 72*w**2 - 27*w = 0.
-3, -1, 0
Suppose -g**3/2 + 29*g**2/6 - 12*g + 6 = 0. What is g?
2/3, 3, 6
Factor 25*y**2 - 85*y - 38.
(5*y - 19)*(5*y + 2)
Factor 3*l**2 + 3915*l.
3*l*(l + 1305)
Factor -3*t**3/8 + 15*t**2/8 - 3*t/4 - 3.
-3*(t - 4)*(t - 2)*(t + 1)/8
What is c in 3*c**2 - 30*c + 27 = 0?
1, 9
Solve 3*h**5 - 36*h**4/5 + 12*h**3/5 = 0.
0, 2/5, 2
What is s in -2*s**2/9 + 2026*s/9 = 0?
0, 1013
Factor j**5/5 + 3*j**4/5 - 6*j**3/5 - 26*j**2/5 - 27*j/5 - 9/5.
(j - 3)*(j + 1)**3*(j + 3)/5
Factor -q**2/5 - 34*q/5 - 289/5.
-(q + 17)**2/5
Let -5*g**2 - 1615*g + 3250 = 0. Calculate g.
-325, 2
Let 20*l**3 + 455*l**2 + 325*l - 110 = 0. What is l?
-22, -1, 1/4
Factor 324*w**2 + 2304*w + 4096.
4*(9*w + 32)**2
Factor 2*u**
|
{
"pile_set_name": "DM Mathematics"
}
|
in -4, -0.03, -0.7?
-4
Let u = -1.8647 + -0.2173. Let g = -0.082 - u. Which is the closest to 1? (a) 3/5 (b) -0.4 (c) g
a
Let g(i) = i**3 + 17*i**2 - 8*i + 69. Let p be g(-16). What is the closest to -0.2 in 5/4, 4, p, -0.4?
-0.4
Let m = -18687 + 18686.5. Let l be (-2)/(6/(-10) - 1). Which is the closest to -0.8? (a) m (b) l (c) 4/7 (d) -0.2
a
Let g = 4.2 - 0.2. Suppose -7*q - 3*o + 701 - 648 = 0, 0 = -4*q + 4*o - 4. Which is the closest to -2/11? (a) 6 (b) g (c) q
b
Let k = 2781/23783 - -1/1399. Let g = 889/9 - 99. What is the closest to -1 in 2/3, k, g?
g
Let p = 366.6 - 367.1. Which is the nearest to -2? (a) p (b) 1/2 (c) -95.9
a
Let o be 7/(-4) + -3*4/48. Let k be (-4573)/1345 + (-8)/(-2). Suppose -h - 3*h - 4 = 0. What is the nearest to k in -0.4, h, o?
-0.4
Suppose q - 68*q = -335. What is the nearest to q in -0.3, 0.04, 65?
0.04
Suppose 3*m - 7 = -k, -33*k + 32*k = -4. Let l = -103 - -823/8. Which is the nearest to 18? (a) -1/3 (b) l (c) m (d) 2/5
c
Let u = 1294 - 1296. What is the nearest to 4 in u, -0.5, -4, -1/4?
-1/4
Let w = -131 + 253/2. Let z be ((-27)/(-18)*1/6)/(-1). Which is the nearest to w? (a) 2/5 (b) z (c) -1/10
b
Let a = -3.6 - -3.7. Let y = 1.475 - 1.275. What is the closest to y in -1, a, -1.8?
a
Let w = -257.3 - 50.7. Let n = 308.4 + w. Suppose 2*i + 25 = -2*i - 5*o, 4*o + 20 = 0. What is the closest to 1 in -0.1, i, n?
n
Let h = -1.7 - -2. Let r(f) = -7*f**3 + 160*f**2 + 45*f - 506. Let y be r(23). Which is the closest to h? (a) 1 (b) y (c) -4
b
Let k = -0.267 + 0.097. Let f = -0.03 + k. Which is the closest to 1? (a) -5 (b) f (c) 3/2
c
Let j = 1.7025 - 1.5025. What is the nearest to 421.5 in j, -4, -0.5?
j
Let d = -7 - -11. Let z be (70/(-6) - -13)/((-2)/6). Let t be (z/240*-5)/((-5)/8). What is the closest to 1 in d, t, -5?
t
Suppose -218*d = -214*d, 0 = 2*o + 2*d - 142. Which is the closest to o? (a) -0.8 (b) 0.1 (c) 1
c
Suppose -5*y - 2*v - 36 = 0, 962*v + 44 = -5*y + 959*v. Which is the closest to 264? (a) y (b) -2 (c) 0.5
c
Let i = -360 + 1187. What is the closest to 1 in i, -2, -0.3?
-0.3
Let y = 218 + -232. Let c be 3/126 + (-2)/y. What is the nearest to -1/2 in -5, -4/5, c, -2/3?
-2/3
Suppose 0*m + 18 = m + 2*r, -5*m + 4*r = -62. Suppose 3*x - 52 = 4*n - m, 5*x = -5*n + 5. Suppose -4*t = -x + 10. What is the closest to t in 5, 1/4, 3/4?
1/4
Let g = 4962 + -5008. What is the closest to g in -2, 3/4, 1/5?
-2
Let w = 6290 - 6295. What is the closest to -58 in w, -9, -7?
-9
Let o = 0 + -0.1. Let j = 869 - 855. Suppose 0 = -18*r + j*r + 8. What is the nearest to 0 in 1, o, r?
o
Let j = -7.307 - -8.307. Which is the nearest to 2/5? (a) 790 (b) 4 (c) -0.1 (d) j
c
Let q = 0.0915 + -3.0915. Let s be 2/(-5)*(-10 - -11). What is the closest to 1 in 2/15, q, s?
2/15
Let k be (6/15)/((-2)/10). Let i be (-2695)/898 + 234/78. Let g = i + -1789/6286. Which is the closest to k? (a) g (b) 3 (c) 1
a
Let q = 0.3242 - 0.7845. Let h = q + -0.0397. What is the closest to -0.1 in -4, h, 2?
h
Let s = -3 - -1. Let r be (-12)/120 - 1/2. Suppose -2 = a + 2*j - 10, 32 = 4*a + 2*j. What is the nearest to s in -2, r, a?
-2
Let t = -3.9 - -1.9. Let g = -2 - t. Let h be (-2 + ((-253)/(-51) - 3))*-3. Which is the nearest to g? (a) -0.1 (b) 2/7 (c) h
a
Let z be (-336)/6 - 2/(-2). Let k = z - -163/3. Let o be (4/5)/((-32)/(-80)). What is the closest to 2 in -4, k, o?
o
Let m = 88864 + -355455/4. Let n = 2 + -2. Let x = n + 1. Which is the closest to x? (a) m (b) 0.1 (c) 1
c
Let g = -0.36339 + -0.09661. Which is the nearest to 1? (a) 4 (b) -1 (c) g
c
Let i be (-8)/12 + 2/4*0. Let h = 1.971 + 0.029. Which is the closest to i? (a) h (b) 5/6 (c) 5
b
Suppose -127*o + 106*o = 122*o. Let v = 4.33 + 0.67. Which is the nearest to -1? (a) o (b) v (c) 47 (d) -1
d
Let l be (-90)/(-18) - (-80)/(-10). What is the closest to -1 in 0.01, l, 2, -8/7?
-8/7
Let q = -1.49 - 2.51. Let f be -1 + 2 + 2 + (-26)/10. Let h be (9/30)/(6/15 - -1). Which is the nearest to h? (a) q (b) -3/7 (c) f
c
Let r = -4 + 3.7. Let s = -53 + 60.5. Let i = s - 7.2. Which is the nearest to 4? (a) r (b) 1 (c) i
b
Let o be 0 + -29 - ((-5)/6 - (-4730)/(-516)). Let t = 0.03 + -0.43. Which is the nearest to 3/4? (a) 1/4 (b) o (c) t
a
Let i = -4.395 - -0.395. What is the closest to 0 in 2.1, i, 17?
2.1
Let n = -26/3 - -9. Let l = 1.095 - -0.355. Let i = 1.75 - l. Which is the closest to i? (a) 0.3 (b) -0.3 (c) n
a
Let y be (-281)/(-4215) - (-58)/(-690). Which is the closest to 2/5? (a) -1/3 (b) y (c) -2
b
Let g be (-8)/36*3 + 2848/4290. Let u = g + 16493/17160. Let n = u + -5/8. Which is the nearest to -2/5? (a) -4/7 (b) 0.2 (c) n
a
Let l = -23453 - -23420. Which is the nearest to l? (a) 3/8 (b) -4 (c) 0.5 (d) -1
b
Let q = -1.084 + 0.084. Let x = 1124 + -1123. What is the closest to -2 in x, q, 0.2?
q
Let l = -4229.5 + 4229. Suppose -3*s = -3, -6 + 21 = -2*p + 5*s. What is the closest to 2 in l, 3, p, -4?
3
Suppose 2794*k = 2799*k - 5. Which is the nearest to k? (a) -1/10 (b) -0.07 (c) -5 (d) -1/2
b
Let t = -0.365 + 3.115. Let j = t + -3.25. Let u = -2.1 - -2. Which is the nearest to 0.2? (a) u (b) j (c) 0.4
c
Suppose 3*s + 51 = 4*h, 1138*h - 4*s - 62 = 1133*h. Which is the nearest to 6? (a) -0.1 (b) -4/9 (c) -0.2 (d) h
a
Let w = -4.6 + 4.6. Let f be (-2)/(-26) - 620/1300. What is the nearest to w in -0.05, -7, f?
-0.05
Let x = -33.03 + 37.03. What is the closest to 0.03 in 0.01, 1/6, -0.3, x?
0.01
Suppose 0 = 8*n - 6*n - u + 7, 4*n + u - 7 = 0. Let a = -2 + -1. What is the closest to -2 in n, 2, a?
a
Let u = -106 + -11. Let t = -116.9 - u. Let f = -6 + 9. Which is the nearest to f? (a) -1/6 (b) 2/17 (c) t
b
Let r(i) = i**2 - 8*i - 11. Let a be r(10). Let o = 3.985 + 0.015. What is the closest to -2 in a, o, -2/5?
-2/5
Let m = 49.2 + -45. Let y = m - 9.2. Which is the nearest to 1? (a) -3/5 (b) y (c) 2/11
c
Let j be ((-57)/21 - -3)*(-126)/(-180). What is the nearest to j in -3, -2, 9, 12?
-2
Let v = -114 + 114.3. Let n = 14 - 15.7. Let b = n - -1.2. What is the nearest to 1 in -4, v, b?
v
Let u = -62 + 311. Let h = u + -246. Which is the nearest to 0? (a) -1 (b) -2 (c) h (d) 0
d
Let v = 18910 + -18912. What is the nearest to -2/15 in v, 5, -1/3, -5?
-1/3
Suppose 4390 = 84*d - 1826. Which is the closest to -2? (a) 6 (b) d (c) -0.5
c
Let j = 5282 - 5289. Let g = 0.4 - 2.4. What is the nearest to j in -3, g, -5, 3/4?
-5
Let b = 1355 + -1357. Let q = -286 - -1436/5. Let m = -3/5 + q. What is the closest to b in 1/2, -6, m?
1/2
Let p be (2*1)/((-6)/21*(-231)/(-165)). Let h = 0.3 - 0.7. What is the nearest to 1/2 in p, h, 0.05?
0.05
Let j = -8 + 3. Let u = 10740 - 10751. Let z = 1 - 1.2. Which is the closest to u? (a) -1 (b) j (c) z
b
Let s = -44803/15 - -2987. Which is the closest to -2? (a) -8 (b) -5 (c) 0.1 (d) s
c
Let y = -4 - -7. Let a be (0 - 421) + 1 + (-142)/(-852). Let g = -420 - a. What is the nearest to 2/7 in -1, y, g?
g
Let l = 13492.4 + -13492. Which is the nearest to 3? (a) -21 (b) -0.8 (c) l
c
Let l = -974.7 + 975.8. Which is the nearest to 1? (a) 1/6 (b) l (c) 33
b
Let z be 14/(-6) - 16*(-24)/1152. Which is the closest to 30/7? (a) z (b) 1/9 (c) -2/15 (d) 3
d
Suppose -71*s - 65 = 235 + 55. What is the closest to 0.14 in -0.47, -3, s, -0.1?
-0.1
Let p = 28.2 - 28.29. What is the nearest to 1/18 in p, -1/2, 4, -4?
p
Let s be (-5)/(-5 + 15)*-6. Suppose s*o + 4*o - 28 = 0. What is the closest to -2 in -12, o, -0.3?
-0.3
Let m = -9 + 9. Let z = 7780 + -7784. What is the nearest to -0.1 in z, 1/6, m?
m
Let q = -1/6 - 1/3. Suppose s - 8 = w, 0 = s + 3*w - 8*w - 24. Let i = 2812 + -2812.5. Which is the closest to q? (a) -1/4 (b) s (c) i
c
Let h = -47.8 + 43. Let y = -5.2 - h. Which is the nearest to y? (a) -0.5 (b) 3 (c) 0.4
a
Let i = 0.15387 + 0.24613. What is the closest to -22 in 5, i, 2/9, -2?
-2
Let d = 56/9 + -62/9. Suppose 4*x = 26 + 46. Suppose -v - 3*v = 4*y - 24, 4*y - x = -2*v. What is the closest to d in -4, v, 1?
1
Let f = -19/2 + 141/14. What is the closest to -0.4 in f, -3/17, 2?
-3/17
Let o = 5758 - 5758.5. Suppose -r + 4 = y + 1, 4*r = -3*y + 7. What is the nearest to 1.2 in r, -0.2, o?
-0.2
Let l = -172 - -177. Let i = 1.22 - 0.22. Which is the ne
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate -76522329 divided by 57.
-1342497
What is 149810744 divided by -3?
-149810744/3
1641439 divided by 2537
647
What is 918610548 divided by -153101758?
-6
What is -39831917 divided by 51529?
-773
-3 divided by -8922546
1/2974182
Divide -3 by 3370930.
-3/3370930
What is 106848 divided by 711?
11872/79
Calculate 3640371 divided by 9.
1213457/3
Divide -144702 by 144702.
-1
Calculate 28964226 divided by -6.
-4827371
Divide 35096700 by -12.
-2924725
-92329112 divided by 756796
-122
Calculate -432719860 divided by -86543972.
5
Calculate -19 divided by -1214775.
19/1214775
9563 divided by 4529
9563/4529
What is 41470885 divided by -202297?
-205
Calculate -3 divided by 2365342.
-3/2365342
What is 14649 divided by -1521?
-4883/507
Divide -578 by -29446.
289/14723
What is -102381553 divided by -37?
2767069
Divide 35301 by 219.
11767/73
What is -14701 divided by -1506?
14701/1506
11734040 divided by -4
-2933510
What is 112 divided by 111106?
56/55553
Divide -81 by 1402212.
-27/467404
Calculate -22463 divided by 18203.
-22463/18203
Divide 6121280 by 17390.
352
-2 divided by 15618443
-2/15618443
Divide -1458720 by 60.
-24312
Divide -137250 by -15250.
9
3 divided by -4921012
-3/4921012
2750041 divided by 1
2750041
Calculate -343960 divided by -34396.
10
What is 39145580 divided by 19379?
2020
What is 9990 divided by 15?
666
-49372 divided by 19784
-12343/4946
Divide -2 by 41997082.
-1/20998541
Calculate 152 divided by -670456.
-19/83807
13215748 divided by -28
-471991
-745693 divided by 57361
-13
Divide 8112286 by 1537.
5278
Divide -12108 by -268.
3027/67
Calculate -14450 divided by -702.
7225/351
Divide -7529728 by -86.
3764864/43
Calculate -1 divided by -144551994.
1/144551994
Calculate 16723082 divided by -58.
-288329
Divide 284099562 by 6.
47349927
What is -46512040 divided by 129560?
-359
-233573400 divided by -24
9732225
Calculate -4 divided by -6934070.
2/3467035
What is -1383 divided by -2454?
461/818
Calculate 865070853 divided by 3.
288356951
-215405201 divided by -59161
3641
Calculate 3 divided by 23168192.
3/23168192
Calculate 30592092 divided by 7044.
4343
What is -311843757 divided by 3?
-103947919
Calculate 346 divided by 14328.
173/7164
Divide -5 by -11466127.
5/11466127
What is -120556 divided by -15?
120556/15
100112 divided by -243
-100112/243
Calculate -1640406985 divided by -328081397.
5
Calculate -14106 divided by -60190.
7053/30095
What is 100689204 divided by 924?
108971
-5177 divided by 14385
-5177/14385
What is -24696 divided by 825?
-8232/275
Calculate 27895032 divided by 132.
211326
139834966 divided by 4
69917483/2
What is 21233304 divided by -9?
-2359256
12074075 divided by -1915
-6305
Calculate -33232 divided by -2203.
33232/2203
Calculate -51540615 divided by 35.
-1472589
Calculate 531216620 divided by 2738230.
194
-8 divided by -1161879
8/1161879
Calculate -2 divided by 2313700.
-1/1156850
Calculate 87440061 divided by -58803.
-1487
Calculate 5101 divided by 266.
5101/266
What is 70548499 divided by 89189?
791
358182604 divided by -4
-89545651
Divide 137581290 by 19853.
6930
What is -13986330 divided by -274?
51045
Calculate 53522040 divided by -1784068.
-30
Divide -9648375 by -58475.
165
Calculate -2804893 divided by -4.
2804893/4
6136388 divided by -5084
-1207
Calculate 0 divided by -4034872.
0
Calculate -5026086 divided by 5.
-5026086/5
26116206 divided by 2
13058103
Divide 574020 by -454.
-287010/227
Calculate 13782 divided by 1991.
13782/1991
What is 4350736 divided by 12872?
338
-32369281 divided by 2
-32369281/2
Divide -116108 by 1645.
-116108/1645
Divide 0 by -874508.
0
What is -159 divided by -6252?
53/2084
Calculate -390109 divided by -353.
390109/353
Calculate 16873504 divided by -527297.
-32
What is -81201501 divided by 9?
-9022389
Calculate 39713840 divided by 239240.
166
Divide -410 by 79633.
-410/79633
-13839520 divided by -2582
5360
What is -2639149 divided by -104?
2639149/104
What is -112453 divided by -85?
112453/85
405406300 divided by 5122
79150
Calculate 20329284 divided by -769.
-26436
Calculate 27 divided by -475669.
-27/475669
Calculate -12 divided by 3316826.
-6/1658413
Calculate -144548292 divided by 72274146.
-2
Divide 810289 by 82.
810289/82
Calculate 837276 divided by -19029.
-44
-3767858 divided by 74
-50917
Divide 19236 by -200.
-4809/50
Calculate -187354499 divided by 187354499.
-1
Calculate -8 divided by -14487531.
8/14487531
Calculate -3151560 divided by 36.
-262630/3
Calculate -3963 divided by 3.
-1321
Calculate 69 divided by -753488.
-69/753488
What is 18585 divided by 221?
18585/221
Calculate 55755420 divided by 6.
9292570
Divide -25662351 by 658009.
-39
Divide -62509425 by 5.
-12501885
Calculate 911908575 divided by 182381715.
5
106 divided by -627771
-106/627771
1090207 divided by 7
1090207/7
Divide -350782 by 15.
-350782/15
What is -32212928 divided by -22?
1464224
-1002629 divided by -14
1002629/14
Divide 27837 by 319.
27837/319
-11295404 divided by 74804
-151
Divide -8 by -1952976.
1/244122
2404104 divided by 5514
436
What is -3 divided by -107699?
3/107699
What is 7334404 divided by 14?
523886
Calculate 10294329 divided by -3.
-3431443
Calculate -1759 divided by -7324.
1759/7324
What is 49413967 divided by 12667?
3901
-4 divided by 4991773
-4/4991773
Calculate 224 divided by -59419.
-224/59419
Calculate 68566232 divided by -1316.
-52102
-3748011 divided by 3
-1249337
Calculate 540676 divided by 4661.
116
Calculate -1 divided by 65219703.
-1/65219703
Calculate 5339 divided by -1624.
-5339/1624
16185231 divided by 1917
8443
What is 1251055 divided by 101?
1251055/101
Divide 938661 by -1.
-938661
What is -597421 divided by 1?
-597421
Divide 5 by -3396653.
-5/3396653
3668 divided by -1232
-131/44
Calculate 232 divided by 15367.
232/15367
Calculate -19759495 divided by 5.
-3951899
Calculate 1022122 divided by -1.
-1022122
Divide 5991705 by 13.
5991705/13
What is 41 divided by -47676?
-41/47676
284 divided by -8056
-71/2014
-464 divided by -655952
29/40997
Divide 21974002 by 1009.
21778
Calculate -24776283 divided by -3.
8258761
Divide 352973999 by 3073.
114863
Divide -26 by -7718214.
13/3859107
Calculate -740556 divided by 185139.
-4
5 divided by 83619029
5/83619029
Calculate -192211728 divided by -16017644.
12
Divide 2 by -2057691.
-2/2057691
Divide -112498087 by -8653699.
13
Calculate 1152241005 divided by -10739.
-107295
What is -18540861 divided by -3?
6180287
What is 1 divided by 10778023?
1/10778023
Calculate -6262400 divided by 20.
-313120
Divide -1 by 180897.
-1/180897
Calculate 4732555470 divided by 6.
788759245
Divide -1 by -1232349.
1/1232349
Calculate -26 divided by -125001.
26/125001
What is -5 divided by -4387287?
5/4387287
12647706 divided by 12647706
1
Divide -17115138 by -1901682.
9
What is -224423136 divided by 84816?
-2646
What is 493 divided by 410521?
493/410521
67 divided by 2022501
67/2022501
-306126524 divided by 76531631
-4
Divide -71803974 by 11.
-6527634
Calculate 1429970 divided by -9.
-1429970/9
Divide -3 by -48889491.
1/16296497
Divide -5543440 by 152.
-36470
What is -1454 divided by -30708?
727/15354
Calculate 51877632 divided by -3.
-17292544
19478550 divided by 1498350
13
Divide -12184236 by 3046059.
-4
Divide 62942 by -3196.
-31471/1598
Divide -3653 by 426.
-3653/426
What is -6897248 divided by -4?
1724312
What is 237 divided by -566880?
-79/188960
Divide -132983 by -863.
132983/863
What is -65734352 divided by -4?
16433588
-61963332 divided by 4
-15490833
Divide -59 by -446201.
59/446201
What is -4698335 divided by 5?
-939667
What is -34124780 divided by -601?
56780
Calculate 2448414 divided by 54.
45341
Calculate 43741398 divided by 7290233.
6
Divide -134474776 by -6.
67237388/3
132856710 divided by -5
-26571342
Calculate -8675238 divided by -333663.
26
Divide 230062 by 49.
32866/7
What is 9 divided by -2369644?
-9/2369644
-444768 divided by -3936
113
1261545 divided by -1
-1261545
Divide 758 by 11366.
379/5683
What is 1 divided by -1485136?
-1/1485136
What is 20 divided by 873434?
10/436717
Calculate -2186465 divided by 4.
-2186465/4
Divide -252516708 by -204.
1237827
-74 divided by -807759
74/807759
Divide -96333552 by -382276.
252
Calculate -52023 divided by -52023.
1
810905 divided by 69
810905/69
Divide -5055736 by -180562.
28
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
(-19) assuming h is positive.
h**39
Simplify (n**(-2/5))**(2/5)/((n/(n/(n/(n*n**3*n)))*n)/n**(-2)) assuming n is positive.
n**(21/25)
Simplify (n**(-3)*n*n)/(n/(n/n**(2/21))) assuming n is positive.
n**(-23/21)
Simplify (x/x**(-2))**(2/13) assuming x is positive.
x**(6/13)
Simplify (w**(-1))**(-3/5) assuming w is positive.
w**(3/5)
Simplify (y*(y**(-2/3)/y)/y)**(2/3)/(y**(-2/5)/y)**(-1/32) assuming y is positive.
y**(-1663/1440)
Simplify (q/(q*q/(q/((q**10/q)/q))*q*q))/(q/q**(-1/11)) assuming q is positive.
q**(-122/11)
Simplify (v/v**(-1))**(2/151)/(v**(-1/4))**(2/117) assuming v is positive.
v**(1087/35334)
Simplify (s*s*(s*s/(s*s*s**0*s)*s)/s*s**(-9))**(1/9) assuming s is positive.
s**(-8/9)
Simplify ((d**(-1/5)/d*d)/d*(d/(d*d**(-4)*d*d))/d)**(-8) assuming d is positive.
d**(8/5)
Simplify x*(x**14*x)/x*x*x*(x*x**(-3))/x*x*x assuming x is positive.
x**16
Simplify (j**1/j)**(-2/63) assuming j is positive.
1
Simplify l**5/l**(6/5) assuming l is positive.
l**(19/5)
Simplify i*i*i**5*i*i**(5/3)*(i*i**(-1/4))**(-3/13) assuming i is positive.
i**(1481/156)
Simplify (b*b**(-1/14)*b*b*b**(-2/7)*b)/((((b/b**(-1/4)*b*b)/b)/b)/b)**(2/31) assuming b is positive.
b**(787/217)
Simplify (o/o**(7/3)*o)/o*o**(3/19) assuming o is positive.
o**(-67/57)
Simplify ((z*(z/(z/(z/(z**0*z*z)*z)))/z*z)/z*z**0)/(z**(-2)/z**(5/3)) assuming z is positive.
z**(11/3)
Simplify (b/b**(-8))/((b*b**5/b)/b)*b**0/b**(-2/15) assuming b is positive.
b**(77/15)
Simplify ((q/(q/(q**5/q)))/q)**(-3/13) assuming q is positive.
q**(-9/13)
Simplify ((u*u**6)/u**(-6))/((u/u**3)/(u/(u**(1/7)/u))) assuming u is positive.
u**(118/7)
Simplify (((z/(z/((z*z*z*z**(-3/2)*z)/z)*z))/z)/(z/((z/z**(-2))/z)))**9 assuming z is positive.
z**(9/2)
Simplify (a**(-5/3))**(-2/63) assuming a is positive.
a**(10/189)
Simplify (t**(-27))**(-4/13) assuming t is positive.
t**(108/13)
Simplify (t**(1/3)*t*t*t**(-2/5))**(-3/2) assuming t is positive.
t**(-29/10)
Simplify (x*x/(x/x**(4/11))*x)**46 assuming x is positive.
x**(1196/11)
Simplify ((v*(v*v**4*v)/v*v)/v**(-2/9))**2 assuming v is positive.
v**(130/9)
Simplify (w/w**1)**(-13/2)/(w*w/(w/((w**(-1)*w)/w)))**(7/5) assuming w is positive.
1
Simplify h**18*h**(-2/7) assuming h is positive.
h**(124/7)
Simplify g/(g/g**(4/7))*g**(-5/4) assuming g is positive.
g**(-19/28)
Simplify ((i*i*((i**(5/3)*i)/i)/i*i)/i)/i**(-7)*i/(i**0*i)*i**3 assuming i is positive.
i**(38/3)
Simplify (x**(-2)*(x/(x**(8/7)*x*x))/x*x*x)/((x**(-1)/x)/x)**8 assuming x is positive.
x**(146/7)
Simplify p**15/(p/(p**(10/9)/p)*p) assuming p is positive.
p**(118/9)
Simplify (a*a**(-8/5))/((a*a**14)/a) assuming a is positive.
a**(-73/5)
Simplify g**26/(g/(g/(g/(g**15/g*g)*g)*g)) assuming g is positive.
g**40
Simplify y/(y**(-4)*y*y)*((y*y*y*y**(-16/3)*y)/y)/y assuming y is positive.
y**(-1/3)
Simplify (d**(2/5)/d)/(d**15/d) assuming d is positive.
d**(-73/5)
Simplify ((d**2)**5)**(1/27) assuming d is positive.
d**(10/27)
Simplify x**17*x*(x/(x*x/(x*x**28/x)))/x assuming x is positive.
x**44
Simplify ((i**2/i)/i**(3/8))/(i*(i**(-2/9)*i)/i*i*i*i**(2/9)) assuming i is positive.
i**(-19/8)
Simplify u**(2/9)*u*u*u**(-9)*(u*(u**(-3)*u*u)/u)**(-16) assuming u is positive.
u**(83/9)
Simplify (c**(2/17)*c)/(c*(c*c**(-29)*c)/c) assuming c is positive.
c**(478/17)
Simplify (z/z**22)**(-27) assuming z is positive.
z**567
Simplify ((c*c**(-10)*c)/(c/((c/(c/(c/(c*c/c**7))))/c)))**(-1/8) assuming c is positive.
sqrt(c)
Simplify t*t**1*t**18*t assuming t is positive.
t**21
Simplify (((x*x**(-8))/x)/x)/(x*x/((((x/(x/(x**(8/7)/x))*x)/x)/x)/x)*x) assuming x is positive.
x**(-97/7)
Simplify ((k**(-2/25))**(1/6))**(-2/121) assuming k is positive.
k**(2/9075)
Simplify (z*z*z**2)**(-1/24)*z**(2/27)/((z*((z/(z/((z/(z/z**(-9)))/z)))/z)/z)/z) assuming z is positive.
z**(643/54)
Simplify ((r/(r/r**(2/3))*r)/r*r**(-2/9))/(r*r**(-4)/r*r*(r*r**(-5))/r) assuming r is positive.
r**(76/9)
Simplify (r**(1/4))**(2/21)/(r/((r/r**(-1))/r)*r**(-2)) assuming r is positive.
r**(85/42)
Simplify a*(a*a**4/a)/a*a**(-4/3)*(a*a**(-1))**(6/11) assuming a is positive.
a**(8/3)
Simplify u**(5/4)*u*u/(u*u*(u*u**(-33))/u*u) assuming u is positive.
u**(133/4)
Simplify (a**(-2/19)/a**(1/7))**(-2/63) assuming a is positive.
a**(22/2793)
Simplify ((q*q*q*q**(-1/6)/q)/q**(1/14))**(-26) assuming q is positive.
q**(-962/21)
Simplify (d/(d/(d/(d*d*d/d**(-30))))*d)/((d*d/(d/(d/(d**(5/3)*d)))*d)/d) assuming d is positive.
d**(-91/3)
Simplify (y/(y/(y**(-1)*y)))**(9/5)/(y**0/y**(-4/7)) assuming y is positive.
y**(-4/7)
Simplify ((t**(-1)*t)/t)**(8/11)*((t/(t/t**(2/3)))/t)/t**(-3/4) assuming t is positive.
t**(-41/132)
Simplify (w**5/(w/w**(-6)))**(-11/7) assuming w is positive.
w**(22/7)
Simplify o**(-5/7)/o**3 assuming o is positive.
o**(-26/7)
Simplify d**(-2/63)*d**(5/4) assuming d is positive.
d**(307/252)
Simplify (c*c*c/c**2*c**6*c)/(c**(2/3)*c/(c*c**(1/4)*c)) assuming c is positive.
c**(103/12)
Simplify ((u/(u/(u*u**(-16)*u)))/((u/u**(-10)*u)/u))**(-46) assuming u is positive.
u**1150
Simplify (p/(p**0/p))/((p/p**(1/7))/p)*p**(-6/5)*p*p**(4/3) assuming p is positive.
p**(344/105)
Simplify c*c*c**(-4/3)*c/(c/c**(3/7)) assuming c is positive.
c**(23/21)
Simplify (n/n**(-3/5)*n*n*n**19*n)**3 assuming n is positive.
n**(354/5)
Simplify (f**(-5))**(-27/2) assuming f is positive.
f**(135/2)
Simplify (z**9/(z*z**7))**10 assuming z is positive.
z**10
Simplify ((s*s**(-4/5))/s*s**(3/2))/((s**(-1/3)*s)/s*s*s**(-2/3)) assuming s is positive.
s**(7/10)
Simplify ((l**3)**(-7))**48 assuming l is positive.
l**(-1008)
Simplify (g**8)**(-3/4) assuming g is positive.
g**(-6)
Simplify (k*k*k**1*k)**(3/23) assuming k is positive.
k**(12/23)
Simplify (l/(l*l**(1/6)))**(-10) assuming l is positive.
l**(5/3)
Simplify ((k**0/k)**8)**(-32) assuming k is positive.
k**256
Simplify (c/c**0)**(-1)*(c**(-2/7))**(10/7) assuming c is positive.
c**(-69/49)
Simplify (i*i**(-2/11))/i*i*i*i**6/i assuming i is positive.
i**(75/11)
Simplify (b/(b*b**(-1)/b))**(-37)*(b**(-1)*b*b)/b**(-6) assuming b is positive.
b**(-67)
Simplify (s**(-2/9)*s*s*s**(3/5)*s*s*s*s)**(-48/11) assuming s is positive.
s**(-4592/165)
Simplify (p**(-5)*p)/p**25 assuming p is positive.
p**(-29)
Simplify (z**(-7/5)*z)/(z**(-22)*z) assuming z is positive.
z**(103/5)
Simplify q**(1/2)/q**6*q/q**4*q*q/(q*q**(1/2)) assuming q is positive.
q**(-8)
Simplify y**2*y*y*y/y**(5/4) assuming y is positive.
y**(15/4)
Simplify (s/(s*((s/((s**(-1/2)/s)/s))/s)/s))/s*s*s**(6/7) assuming s is positive.
s**(-9/14)
Simplify (w**0)**41*w**(-1)*w**2 assuming w is positive.
w
Simplify (z*z/z**(3/2))/(z**(-1/30)*z*z) assuming z is positive.
z**(-22/15)
Simplify (s**(1/5)/(s/s**(7/3)))/((s/(s/((s**(3/4)/s)/s)))/(s/s**10)) assuming s is positive.
s**(-373/60)
Simplify (n**(-1/12)*n)/(n*(n**(-18)*n)/n) assuming n is positive.
n**(215/12)
Simplify (d*d**(2/9)*d)**(-7/9)/((d**(-1/5)*d*d)/(d/d**7)) assuming d is positive.
d**(-3859/405)
Simplify (b/((b*b*b/(b*b*b**(-12)))/b))/(b**15*b) assuming b is positive.
b**(-27)
Simplify z**26*z**(-3/29) assuming z is positive.
z**(751/29)
Simplify (x**12)**44 assuming x is positive.
x**528
Simplify (r*r**(1/6)*r*r/(r*r/((((r/(r/r**(2/9))*r)/r)/r)/r)))/(r*(r/r**3*r)/r*r**(-2)) assuming r is positive.
r**(43/18)
Simplify (i**6/(((i/(i/i**4))/i)/i*i*i))/(i**(2/5))**(-2/35) assuming i is positive.
i**(354/175)
Simplify ((a/(a/(a/a**(3/5))*a))/(a*a**(1/3)))**(-44) assuming a is positive.
a**(1276/15)
Simplify f**(-22)/(f**40/f) assuming f is positive.
f**(-61)
Simplify c*c**(-21)*c*c/(c/(c*(c**(-2/17)/c)/c)) assuming c is positive.
c**(-342/17)
Simplify z**(-2/55)*z*(z**(-3/4)*z)/z assuming z is positive.
z**(47/220)
Simplify (o**(-8)*o/((o/(o/(o/(o/((o/(o/(o**1/o*o)))/o*o*o)))))/o))/((o/(o**(2/3)*o))/o*o**(2/23)/o*o) assuming o is positive.
o**(-443/69)
Simplify i**15*i*i**22 assuming i is positive.
i**38
Simplify ((v*(v/v**(-2/5)*v)/v)/v)**(-9)/(v*v*v**1*v*v)**34 assuming v is positive.
v**(-913/5)
Simplify ((q**(-13)/q)/q**(-7))**(-19) assuming q is positive.
q**133
Simplify (q/(q*q**(-10)*q))/q*q**(-23/3) assuming q is positive.
q**(1/3)
Simplify (z*((z/z**8*z)/z)/z)/z**(-7)*z*z*z/(z/(z**(-2)*z))*z**(-1/16) assuming z is positive.
z**(15/16)
Simplify ((g**(5/4)*g)/g**(-2/5))**43 assuming g is positive
|
{
"pile_set_name": "DM Mathematics"
}
|
20020
Rearrange 0*o**2 - 3*o**3 + 4*o + 87*o**4 - o**2 - 97*o**4 + 5*o**2 to the form l*o**2 + j*o**3 + z + u*o + h*o**4 and give j.
-3
Rearrange -696*y**2 - 5220*y**2 + 11480*y**2 + 12156*y**2 + 8906*y**2 to r + f*y + h*y**2 and give h.
26626
Express -1164 + 727*o**2 - 11248*o**2 + 1164 in the form z*o**2 + v + c*o and give z.
-10521
Rearrange -2*g**3 + 27 + 52*g + 5*g**2 - 144*g + 46*g + 46*g to l*g**2 + u*g**3 + o + w*g and give l.
5
Express 3 + 19807*h - 3*h**2 - 2591*h**3 - 39615*h + 19807*h - 3 in the form f + m*h**2 + u*h + r*h**3 and give r.
-2591
Express (-1 + 2*y + 1)*(19094 - 14136 + 7376 + 32118 + 7128 + 15602) in the form v*y + l and give v.
134364
Express (-79*d - 98*d - 13*d + (3*d + 2*d - 3*d)*(1 + 5 - 4))*(2*d - 2*d - d) in the form b*d**2 + k + f*d and give k.
0
Express 16277*s - 42 + 171 - 48 - 81 in the form n*s + h and give n.
16277
Rearrange -4*m**3 + 0*m**3 - 28820*m**4 + 32832*m**4 - m**2 + 1 - 2*m**3 + 4*m**3 to a + c*m**4 + q*m + d*m**2 + r*m**3 and give r.
-2
Rearrange 3*b + 12*b**2 - 10*b**2 - 7*b + (7*b - 5*b - b)*(-9*b - b + b) to y*b**2 + s + d*b and give y.
-7
Rearrange 28*x**3 + 4 + 39*x**3 - 22*x**2 + x**2 - 56*x**3 + x to o*x + q*x**2 + c + v*x**3 and give c.
4
Express 14*u + 0*u + 0*u + (-7 - 3*u + 7)*(2 + 1 - 2) - 2 + 5 - 3 - 155*u as a*u + o and give a.
-144
Express 7*h**2 - 2029*h**4 + 3 - 2 + 1950*h**4 - 2*h**3 + 0 - 6*h**2 in the form d*h**4 + g*h**2 + l + j*h**3 + v*h and give l.
1
Rearrange (0 + 0 + 2*p)*(-2*p**3 + 2*p**3 + 3*p**3) + 4*p**2 - 155*p**3 + 154*p**3 - 137*p**4 + 266*p**4 - 3 to o*p**2 + n*p + m*p**3 + j*p**4 + q and give j.
135
Express (11 - 7 + 6)*(-3 + 0 + 4)*(-35*y**3 + 842*y - 841*y + 39*y**3 - 26*y**2 - 2) in the form f + k*y**3 + l*y**2 + c*y and give l.
-260
Rearrange -98792*n + 152 - 157 + 99092*n to y + q*n and give q.
300
Rearrange -19*q**4 + 7*q**4 + 2*q**2 - 3*q**3 + 14*q**4 - 4*q - 3*q**2 + 2*q + 10 to k*q**3 + r*q + x + p*q**2 + l*q**4 and give x.
10
Express 4*p + 2555577*p**4 - p**3 - 2*p - 2555579*p**4 + p**2 + 131 as r*p**2 + a + l*p**3 + g*p**4 + w*p and give a.
131
Express (-49*d + 146*d + 490*d + (d - d - d)*(3 + 0 - 2))*(1 - 4 + 0) in the form f*d + r and give f.
-1758
Rearrange -2081*o + 350*o + 4296*o + 3643*o to the form v + h*o and give h.
6208
Rearrange (2 + h - 2)*(15 - 101 - 58) + (-h + 0*h + 0*h)*(1 + 2 - 2) to t + w*h and give t.
0
Rearrange -3822*u - 3682*u - 9359*u to the form j + l*u and give l.
-16863
Express (-328*d + 253*d - 3 - 686*d)*(7*d + 0*d + 0*d) as k + c*d + m*d**2 and give c.
-21
Express 339*m - 2*m**3 - 22767*m**2 + 45529*m**2 - 22762*m**2 in the form l*m + g + u*m**3 + d*m**2 and give l.
339
Rearrange (2 - 2 - 2*p**2)*(40 + 49 + 76377*p**2 - 7876*p**2 - 89) to a*p**3 + i*p**2 + m*p + u + n*p**4 and give n.
-137002
Rearrange (0*p - 3*p + 2*p + (-p - 3*p + 6*p)*(2 - 1 - 2) + 886*p + 36942 - 36942)*(19*p + 12 - 12) to the form q*p + i*p**2 + k and give i.
16777
Rearrange (3 - 6 - 5)*(-108891 + 5241*o + 108891 + 1147*o) to s + y*o and give y.
-51104
Express -o + 5041 - 1676*o**2 - 4066*o**2 - 5043 in the form m*o**2 + v + b*o and give b.
-1
Rearrange 71 - 209*m - 73 + 596*m + 376*m + 312*m to the form z + y*m and give y.
1075
Express 11 + 13 + 11*w**3 - 3 + 4485*w - w**2 - 4481*w in the form c*w**2 + i*w + x*w**3 + n and give c.
-1
Express 328*x**3 + 14*x**3 + 371*x**3 - 145*x**3 + (-36 + 53 - 32)*(2*x**3 + 0*x**3 - x**3) in the form y*x**2 + a*x**3 + r*x + z and give a.
553
Express 5785*r + 237*r + 4 - 161*r - 4 in the form j*r + t and give j.
5861
Express (-z**2 - 3*z + 3*z)*(29 - 67 - 33) - 386 - 9*z**2 + 386 as g*z**2 + w*z + o and give g.
62
Rearrange -3*z - 2561*z**3 - 10 - 8 + 1281*z**3 - 14*z**2 + 1278*z**3 to i*z**2 + a*z + p*z**3 + k and give p.
-2
Rearrange (-3 - 15*i**2 - 2 + 4)*(66406 - 17*i - 66406 + 3*i**2) to z*i**2 + p*i + m*i**4 + g + u*i**3 and give u.
255
Express -37 + 10 + 4 + 19 + 2*i**3 + 2*i**2 + 12*i + 2 in the form s*i**2 + a*i**3 + u*i + o and give s.
2
Rearrange -22965*v + 35217*v + 0 + 0 - 22785*v to w*v + l and give w.
-10533
Express 20298 - 40597 + 53*d + 20301 + 4*d**2 as f*d + r + b*d**2 and give b.
4
Express 2*t**2 - 491*t + 19 - 20 + 4351*t + 1502*t as o*t + n*t**2 + x and give o.
5362
Rearrange 713*p**2 + 713*p**2 - 5736*p**3 + 1291*p**3 - 1428*p**2 to r + t*p**2 + v*p**3 + k*p and give v.
-4445
Express -23 - 44 + 91 - 4*h - 42 as j + g*h and give j.
-18
Express -4634*v + 98*v - 3744*v as t + j*v and give j.
-8280
Rearrange (-1 + 1 - 2*t**2)*(-736445714*t**2 - 5 - 2776*t + 736445697*t**2 + 5) to the form d*t**3 + c*t**4 + m*t + l + g*t**2 and give c.
34
Rearrange 8*a + 66*a**4 - 2*a**2 - a - 109 + 107 to o + p*a**2 + j*a**4 + h*a**3 + x*a and give o.
-2
Express 6847*g - 15725*g - 6411*g as u*g + n and give u.
-15289
Express -34523*k**2 + 35118*k**2 + 40 + 2*k - 42 in the form h + a*k + d*k**2 and give a.
2
Rearrange -4 + 12 - 44*w - 19 + 0 + 118*w to x*w + n and give n.
-11
Rearrange 230 - 2*c**2 + 2*c**2 + 9*c + 278*c**4 - 3 - 225 to the form x*c + a*c**4 + m*c**2 + k + i*c**3 and give a.
278
Express (-2 + 2 + 2)*(135 + 92 - 328)*(-16*u - 12*u - 5*u) in the form l + m*u and give m.
6666
Express 227*d - 672*d + 43*d**2 + 224*d + 223*d as a*d + o*d**2 + v and give o.
43
Express 32*b**2 - 295*b**3 + 589*b**3 + 3*b**4 - 292*b**3 + b - 3*b in the form x*b**3 + c + z*b**2 + y*b**4 + q*b and give z.
32
Rearrange (0*c - c - c)*((-1 - 2 + 2)*(-3 - 2 + 3) + 8 + 1 - 4 - 292 - 69 - 434)*(-2 + 0 + 0) to b*c + f and give b.
-3152
Rearrange 2 - 548*u + 421*u**2 + 543*u + u**3 + 0*u**3 to the form v + q*u**3 + o*u + s*u**2 and give o.
-5
Rearrange (-1 - 4 + 0)*(-4*n + 3*n + 3*n) + 1 + n - 1 + (-5*n + 0*n + 0*n)*(8 + 3 - 5) + 43*n - 36 + 36 to the form i*n + r and give i.
4
Express -1041*s - 7*s**2 - 2*s**4 - 2*s**3 + 5 + 2081*s + 0*s**3 - 1036*s - s**2 as v*s**2 + i*s**3 + g*s + x + d*s**4 and give x.
5
Rearrange 5*h**3 - 7*h + 7*h + (-250 + 114 - 456)*(h**3 + 3*h**3 - 2*h**3) to d*h + o*h**2 + p + w*h**3 and give o.
0
Rearrange ((1 + 0 + 1)*(0 + 5 - 3) + 3 + 2 - 3 + 5 - 2 + 4 + 3 + 4 - 1)*(20*t**4 + 13 - 13) to g*t**3 + q*t**2 + u + h*t + s*t**4 and give s.
380
Rearrange -7*z**2 + 6*z + 2*z**2 - 2*z**2 - 1 - 10*z - 61*z**3 + 314*z**3 to t*z + o*z**3 + b + j*z**2 and give o.
253
Rearrange (9 - 12 + 13*v + 8)*(-11*v + 73*v - 302*v - 130*v) to a*v**2 + l*v + d and give l.
-1850
Express (-4492 + 17*t**3 + 8856 + 3*t**2 + 8*t**3 - 4606)*(-2*t - 2*t + 2*t) as j + b*t**2 + d*t + q*t**3 + s*t**4 and give d.
484
Rearrange -263078 + 263077 - 12*x**2 - 301*x**2 + 2*x to u*x**2 + c + m*x and give u.
-313
Express 167 - 7*t**2 - 4*t**2 - 266*t**3 - 251*t**3 + 515*t**3 in the form j*t**2 + i + w*t**3 + h*t and give j.
-11
Rearrange (-2 + 0 - 4)*(5*d - 4*d + d)*(71796 - 1135*d**2 - 71796) to z*d**2 + r + k*d + q*d**3 and give q.
13620
Express (-4 + 1 + 1)*((0 + 1 + 1)*(1 - 2 - 2) + 40 - 73 + 35)*(0 + 0 + w)*(8*w + 3*w - 3*w)*(-3 + 0 + 4) in the form v*w**2 + j*w + z and give v.
64
Rearrange ((-1 + 3 - 3)*(1 - 3 + 1) + (-1612 + 3296 - 1621)*(-2 - 3 + 3))*(-2*g**2 + 2*g**2 + 3*g**2) to the form y*g**2 + n*g + k and give y.
-375
Express (3*h + 113*h**2 + 110*h**2 - 38 - 225*h**2)*(-4 - 1 + 6)*(5 + 12 + 0) + (2*h - 3*h + 3*h)*(-h - h + 3*h) in the form m*h + r*h**2 + w and give w.
-646
Rearrange 0*h**2 - 5*h**2 - 4*h**2 + (-2*h**2 + 0*h**2 + 3*h**2)*(-3 - 2 - 3 + (-1 + 5 - 2)*(-3 - 7 + 3)) to the form v + q*h**2 + b*h and give q.
-31
Express -50*p - 1899 - 6*p + 1849 in the form r + u*p and give u.
-56
Express ((-2 + 0 + 1)*(-2 + 2 + 2) - 1 + 1 - 2)*(-79 + 79 - 50*z**2) - 2*z**2 + z**2 - z**2 in the form d*z + l*z**2 + u and give l.
198
Rearrange -10*b + 1596 + 1904 - 3064 to q + j*b and give q.
436
Rearrange (-67*f - 104*f - 102*f)*(f + 2 - 2) + (-3 + 4 - 2)*(-2*f**2 + 2*f**2 + 2*f**2) - 5 + 6 - 2*f**2 + 4 to the form s*f + g*f**2 + x and give x.
5
Express (-a - 2 + 2)*(-6 + 3 + 0)*(4 + 3 - 10)*(34*a**2 - 31*a + 20*a - 38*a**2) in the form q*a + c*a**2 + x + d*a**3 and give c.
99
Express -76*l**3 - 137*l**3 - 2*l + 3 + 4*l**4 + 226*l**3 in the form s*l**2 + z*l**4 + y*l**3 + o*l + c and give y.
13
Rearrange (31*y - 20 + 20)*(3*y - 5*y - 4*y)*(-4*y**2 + 12*y**2 - 15*y - 9*y**2) to the form u*y**3 + w*y**2 + s*y + d + r*y**4 and give r.
18
|
{
"pile_set_name": "DM Mathematics"
}
|
lnnab?
2/765
Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {k: 4, m: 8, y: 5}.
5/17
Two letters picked without replacement from {n: 9, d: 1, g: 6, r: 2}. Give prob of picking 1 d and 1 g.
2/51
Calculate prob of picking 2 z when two letters picked without replacement from {z: 7}.
1
Calculate prob of picking 1 p, 1 l, 1 s, and 1 r when four letters picked without replacement from {j: 4, o: 1, l: 2, r: 2, s: 4, p: 2}.
32/1365
Two letters picked without replacement from {g: 3, x: 1, i: 1, n: 5, r: 1}. What is prob of picking 1 n and 1 x?
1/11
Two letters picked without replacement from vrvrrvrvvr. Give prob of picking 1 r and 1 v.
5/9
Calculate prob of picking 1 t and 2 d when three letters picked without replacement from {t: 5, o: 4, d: 2}.
1/33
Calculate prob of picking 1 t and 1 s when two letters picked without replacement from ssstsssst.
7/18
Calculate prob of picking 1 o and 1 h when two letters picked without replacement from xmximhmmmiiooxhom.
3/68
Three letters picked without replacement from xdxxxxdd. What is prob of picking 3 d?
1/56
Three letters picked without replacement from rrmrrmm. Give prob of picking 1 m and 2 r.
18/35
Calculate prob of picking 3 o when three letters picked without replacement from ouwuzwzuwuuowouwzwu.
1/969
Calculate prob of picking 1 b and 2 c when three letters picked without replacement from ccbbccp.
12/35
What is prob of picking 1 v, 1 s, and 1 r when three letters picked without replacement from zzrzvrmrzrddrrzs?
3/280
Calculate prob of picking 1 s and 1 o when two letters picked without replacement from yyryrsoyjree.
1/66
Two letters picked without replacement from tozkotzoxohzoxtkxzo. What is prob of picking 1 o and 1 h?
2/57
Three letters picked without replacement from mymlclcyxwxx. What is prob of picking 1 x, 1 l, and 1 m?
3/55
Calculate prob of picking 2 v when two letters picked without replacement from vggrvlllgljljggjljvv.
3/95
Three letters picked without replacement from vbbbbubbbvbvbbb. What is prob of picking 3 v?
1/455
Two letters picked without replacement from {o: 2, c: 11, y: 1, g: 1}. What is prob of picking 1 c and 1 o?
22/105
Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyy.
1
Three letters picked without replacement from lollflflo. Give prob of picking 2 o and 1 f.
1/42
Four letters picked without replacement from gjqggqgjjjjjqjjj. Give prob of picking 1 j and 3 g.
9/455
Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {c: 2, n: 7, q: 3, f: 6, h: 1}.
7/171
Three letters picked without replacement from {c: 2, k: 5, q: 12}. What is prob of picking 1 k and 2 c?
5/969
Three letters picked without replacement from ksqjkjsqjj. Give prob of picking 2 s and 1 j.
1/30
Two letters picked without replacement from {b: 6, o: 1, u: 4, y: 3, q: 4, d: 2}. Give prob of picking 1 y and 1 u.
6/95
Calculate prob of picking 2 e and 1 p when three letters picked without replacement from {p: 8, e: 2, r: 1, u: 5}.
1/70
Four letters picked without replacement from {p: 5, m: 2, a: 3, o: 8, x: 2}. Give prob of picking 2 x, 1 p, and 1 o.
8/969
What is prob of picking 1 p and 1 s when two letters picked without replacement from {t: 1, f: 1, i: 1, s: 1, p: 1}?
1/10
What is prob of picking 1 v and 1 o when two letters picked without replacement from oicoiocvivvc?
3/22
Two letters picked without replacement from {e: 1, q: 4, h: 6, j: 1, w: 1}. Give prob of picking 1 q and 1 w.
2/39
What is prob of picking 1 b, 1 f, 1 m, and 1 c when four letters picked without replacement from fbbnbbcmmbybmyf?
12/455
Two letters picked without replacement from {u: 6}. What is prob of picking 2 u?
1
What is prob of picking 1 i and 1 d when two letters picked without replacement from {r: 1, i: 1, d: 1}?
1/3
Calculate prob of picking 1 j and 1 a when two letters picked without replacement from jpaip.
1/10
Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {b: 2, e: 3, v: 3, d: 1, g: 2, u: 1}.
2/33
Four letters picked without replacement from {j: 7, c: 6, p: 1, u: 2, i: 2}. Give prob of picking 3 j and 1 i.
7/306
Four letters picked without replacement from {h: 5, g: 2}. Give prob of picking 3 h and 1 g.
4/7
What is prob of picking 1 y, 1 a, and 1 p when three letters picked without replacement from mllylpmraaa?
1/55
Calculate prob of picking 1 w and 1 l when two letters picked without replacement from lwlw.
2/3
Four letters picked without replacement from axaaxaaaaaaaa. What is prob of picking 2 a and 2 x?
1/13
Calculate prob of picking 2 v and 1 z when three letters picked without replacement from vvfzv.
3/10
Two letters picked without replacement from {f: 1, p: 1, q: 1}. What is prob of picking 1 q and 1 p?
1/3
Two letters picked without replacement from pgppz. What is prob of picking 1 p and 1 z?
3/10
Calculate prob of picking 1 z, 2 q, and 1 y when four letters picked without replacement from zqyyqzyyqyyyzyyyyq.
11/170
What is prob of picking 2 y when two letters picked without replacement from yyuyuqyqqqyquyq?
1/7
Two letters picked without replacement from ddiaandd. What is prob of picking 1 n and 1 i?
1/28
Four letters picked without replacement from {b: 15, t: 3}. Give prob of picking 1 t and 3 b.
91/204
Three letters picked without replacement from {y: 6, z: 6}. What is prob of picking 3 y?
1/11
Three letters picked without replacement from {w: 8, o: 1, t: 2, y: 2, e: 3, q: 4}. Give prob of picking 2 y and 1 w.
2/285
Three letters picked without replacement from eyyyeeeeeeeeee. Give prob of picking 3 e.
165/364
Two letters picked without replacement from ooqoeoeqqqqeoeoqqooq. Give prob of picking 2 q.
14/95
Two letters picked without replacement from toonrlru. Give prob of picking 1 n and 1 u.
1/28
Calculate prob of picking 1 m and 1 s when two letters picked without replacement from bsmpbsmo.
1/7
Two letters picked without replacement from {r: 5, a: 8, u: 3}. Give prob of picking 2 r.
1/12
What is prob of picking 2 h when two letters picked without replacement from hynyhnnnxhnxhyy?
2/35
Calculate prob of picking 1 u and 2 e when three letters picked without replacement from {d: 1, e: 2, x: 2, u: 1, c: 2}.
1/56
Two letters picked without replacement from {f: 3, w: 3, g: 5}. Give prob of picking 2 w.
3/55
Three letters picked without replacement from zzzzzllzlllllzll. Give prob of picking 3 z.
1/16
Three letters picked without replacement from gigiggggg. What is prob of picking 1 g and 2 i?
1/12
Calculate prob of picking 1 r, 1 g, 1 d, and 1 a when four letters picked without replacement from {d: 1, x: 1, a: 4, g: 6, r: 1, n: 2}.
8/455
Four letters picked without replacement from xgxxgkgkkkx. What is prob of picking 4 x?
1/330
Three letters picked without replacement from nnpppnp. Give prob of picking 3 n.
1/35
Four letters picked without replacement from gggwggwggggggwgggggg. What is prob of picking 4 g?
28/57
What is prob of picking 1 n, 1 o, and 1 e when three letters picked without replacement from ojxeoenojoxoee?
5/91
Four letters picked without replacement from {z: 3, p: 13}. What is prob of picking 1 z and 3 p?
33/70
Four letters picked without replacement from ovrzzoooovrvwoovzv. What is prob of picking 1 r and 3 z?
1/1530
What is prob of picking 1 i, 1 a, and 2 b when four letters picked without replacement from baavbjiajjaaaa?
1/143
Two letters picked without replacement from {r: 11, f: 5}. What is prob of picking 2 r?
11/24
Three letters picked without replacement from {o: 7, v: 1, p: 5, j: 3, z: 3}. What is prob of picking 1 j, 1 z, and 1 p?
15/323
What is prob of picking 1 s, 1 c, and 1 o when three letters picked without replacement from vesocveevvv?
1/165
Four letters picked without replacement from mtymosyumyuuoyu. What is prob of picking 3 y and 1 m?
4/455
Two letters picked without replacement from {o: 2, q: 3, c: 3, d: 1, g: 1}. Give prob of picking 1 c and 1 q.
1/5
Three letters picked without replacement from {x: 2, i: 2, w: 12, t: 2}. What is prob of picking 2 i and 1 w?
1/68
Calculate prob of picking 2 v, 1 t, and 1 u when four letters picked without replacement from utjvujjtjkjktvj.
2/455
What is prob of picking 1 t and 1 w when two letters picked w
|
{
"pile_set_name": "DM Mathematics"
}
|
acement from {x: 7, y: 4, l: 5}.
1/26
Calculate prob of picking 3 m and 1 i when four letters picked without replacement from {i: 2, m: 9}.
28/55
Two letters picked without replacement from {y: 1, i: 3, z: 2, g: 1}. Give prob of picking 1 g and 1 z.
2/21
Calculate prob of picking 4 t when four letters picked without replacement from teteeeetetet.
1/99
Four letters picked without replacement from {a: 6, y: 4}. Give prob of picking 1 a and 3 y.
4/35
Two letters picked without replacement from {a: 2, h: 2, c: 4}. What is prob of picking 2 c?
3/14
Three letters picked without replacement from {d: 2, b: 2, s: 6, j: 3, p: 5, q: 1}. What is prob of picking 2 p and 1 j?
10/323
Two letters picked without replacement from {k: 2, a: 4, y: 1}. What is prob of picking 1 k and 1 y?
2/21
Four letters picked without replacement from tzqqrrqzczq. Give prob of picking 2 q and 2 r.
1/55
Two letters picked without replacement from {p: 5, d: 1, m: 6, j: 2, a: 5}. What is prob of picking 1 j and 1 d?
2/171
What is prob of picking 1 z and 1 c when two letters picked without replacement from {z: 6, c: 12}?
8/17
Two letters picked without replacement from pqeeqqpppviipxpepv. Give prob of picking 1 v and 1 e.
2/51
Two letters picked without replacement from amammmmamm. Give prob of picking 2 a.
1/15
Three letters picked without replacement from {n: 5, c: 4, h: 7}. Give prob of picking 1 n and 2 h.
3/16
What is prob of picking 2 k when two letters picked without replacement from {k: 8, c: 2}?
28/45
What is prob of picking 1 f and 1 v when two letters picked without replacement from {f: 16, v: 4}?
32/95
What is prob of picking 1 u, 1 w, and 1 b when three letters picked without replacement from gwuuuuurgkkurgubuu?
3/272
Two letters picked without replacement from {z: 4, h: 4, r: 7}. Give prob of picking 2 r.
1/5
Calculate prob of picking 2 p and 1 q when three letters picked without replacement from cmppqpmpppppcpjfpp.
55/816
Four letters picked without replacement from {e: 2, y: 4, q: 2}. Give prob of picking 2 e and 2 q.
1/70
What is prob of picking 2 a and 1 l when three letters picked without replacement from {l: 4, a: 3}?
12/35
Two letters picked without replacement from {i: 5, s: 2}. What is prob of picking 1 s and 1 i?
10/21
Four letters picked without replacement from {o: 9}. What is prob of picking 4 o?
1
Four letters picked without replacement from wwjjjjwwjwwwwwjwwwj. What is prob of picking 4 j?
35/3876
Calculate prob of picking 2 o and 1 z when three letters picked without replacement from {z: 7, o: 12}.
154/323
Two letters picked without replacement from zznnnnzznzwnnzo. Give prob of picking 2 n.
1/5
Two letters picked without replacement from ggygggyqgyggggggyyqg. Give prob of picking 1 g and 1 q.
13/95
Three letters picked without replacement from {e: 1, a: 1, y: 2}. Give prob of picking 1 e, 1 a, and 1 y.
1/2
Three letters picked without replacement from {a: 2, u: 1, m: 2, r: 1}. Give prob of picking 1 r, 1 a, and 1 u.
1/10
Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrr.
1
Two letters picked without replacement from {c: 1, p: 2, z: 6, h: 2, u: 1}. Give prob of picking 1 c and 1 p.
1/33
What is prob of picking 1 k and 1 a when two letters picked without replacement from kaaaaaaaaaaaaaaaaaa?
2/19
Three letters picked without replacement from aaazzzzzazz. Give prob of picking 3 a.
4/165
Four letters picked without replacement from ysyyqyyzu. Give prob of picking 1 z and 3 y.
5/63
Three letters picked without replacement from wbbwbwwwwbwwbw. What is prob of picking 3 w?
3/13
Calculate prob of picking 3 r and 1 o when four letters picked without replacement from {r: 3, o: 5}.
1/14
What is prob of picking 2 b when two letters picked without replacement from {g: 2, b: 10}?
15/22
Four letters picked without replacement from wwbbhhhhwbh. What is prob of picking 2 h and 2 w?
1/11
What is prob of picking 3 m and 1 b when four letters picked without replacement from mmmmmmbmmbm?
28/55
Four letters picked without replacement from jrjrrjr. Give prob of picking 3 r and 1 j.
12/35
Two letters picked without replacement from {u: 3, r: 1, w: 5, x: 4, k: 4, z: 1}. What is prob of picking 1 u and 1 r?
1/51
Calculate prob of picking 3 x when three letters picked without replacement from {x: 7}.
1
Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {k: 1, w: 1, e: 4, g: 3, x: 6, u: 3}.
8/51
Calculate prob of picking 3 y and 1 m when four letters picked without replacement from yyymsxxmxmy.
2/55
Calculate prob of picking 3 j and 1 x when four letters picked without replacement from {x: 6, j: 5, p: 4}.
4/91
Three letters picked without replacement from pudplzb. What is prob of picking 1 p, 1 l, and 1 u?
2/35
What is prob of picking 1 c and 1 k when two letters picked without replacement from {k: 1, o: 1, c: 1}?
1/3
Three letters picked without replacement from jttqa. Give prob of picking 1 j, 1 t, and 1 a.
1/5
What is prob of picking 2 o when two letters picked without replacement from {o: 3, d: 2}?
3/10
Two letters picked without replacement from {d: 1, o: 1, b: 1}. Give prob of picking 1 o and 1 d.
1/3
What is prob of picking 1 d, 2 i, and 1 l when four letters picked without replacement from ildlldmdii?
9/70
Two letters picked without replacement from {j: 2, m: 10, g: 1, h: 1}. Give prob of picking 1 g and 1 j.
2/91
Three letters picked without replacement from {q: 3, p: 1, u: 1, w: 9}. What is prob of picking 1 u and 2 q?
3/364
Calculate prob of picking 1 y, 2 v, and 1 p when four letters picked without replacement from {m: 1, f: 4, p: 1, y: 2, v: 7}.
2/65
Four letters picked without replacement from {j: 3, t: 1, q: 1, f: 2}. What is prob of picking 1 j, 1 q, and 2 f?
3/35
What is prob of picking 2 h when two letters picked without replacement from dgghdnhngddhn?
1/26
What is prob of picking 2 q when two letters picked without replacement from {t: 4, d: 1, v: 2, q: 3}?
1/15
Three letters picked without replacement from {d: 4, w: 2, r: 2, q: 5}. Give prob of picking 2 d and 1 w.
6/143
What is prob of picking 1 w, 1 n, and 2 g when four letters picked without replacement from {t: 1, n: 8, w: 1, g: 2, j: 2}?
8/1001
Four letters picked without replacement from yyyyyyyyy. What is prob of picking 4 y?
1
What is prob of picking 2 u when two letters picked without replacement from obuofoboboffouo?
1/105
What is prob of picking 1 c and 2 y when three letters picked without replacement from {y: 2, c: 8}?
1/15
Three letters picked without replacement from {r: 3, f: 1, t: 2, n: 1, j: 3, z: 1}. Give prob of picking 1 r, 1 f, and 1 n.
1/55
Three letters picked without replacement from rrrrrtrttr. Give prob of picking 1 r and 2 t.
7/40
Four letters picked without replacement from {s: 4, i: 15}. What is prob of picking 4 i?
455/1292
Four letters picked without replacement from {f: 15, a: 3}. Give prob of picking 3 a and 1 f.
1/204
Two letters picked without replacement from lzld. What is prob of picking 1 l and 1 z?
1/3
Two letters picked without replacement from nnnynynnnninni. What is prob of picking 2 n?
45/91
What is prob of picking 3 i when three letters picked without replacement from iiiiii?
1
Two letters picked without replacement from qqqtotvtqqhzh. What is prob of picking 1 t and 1 v?
1/26
Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {q: 4, o: 1, f: 1, i: 2, z: 3, s: 1}.
2/33
Calculate prob of picking 2 e when two letters picked without replacement from ecacspecc.
1/36
What is prob of picking 2 o when two letters picked without replacement from oeowowwlwewofwr?
2/35
Four letters picked without replacement from {u: 2, x: 1, a: 4, y: 1, s: 3}. What is prob of picking 1 x, 1 s, and 2 a?
3/55
What is prob of picking 1 l and 1 q when two letters picked without replacement from qxqulmr?
2/21
Calculate prob of picking 2 p and 1 v when three letters picked without replacement from vvvppvvvpvvvvvvvvvvv.
17/380
Calculate prob of picking 1 d and 1 o when two letters picked without replacement from dccdcoccoac.
4/55
Calculate prob of picking 2 s and 2 u when four letters picked without replacement from {s: 2, u: 9}.
6/55
What is prob of picking 1 g and 1 m when two lette
|
{
"pile_set_name": "DM Mathematics"
}
|
00009
What is -0.0000040222 rounded to six decimal places?
-0.000004
Round -0.0000606 to five dps.
-0.00006
What is 0.15227 rounded to 3 decimal places?
0.152
Round -466700 to the nearest one hundred thousand.
-500000
Round -0.0003802 to four decimal places.
-0.0004
Round 0.0000973 to five dps.
0.0001
What is 421.549 rounded to the nearest 10?
420
What is 0.03888 rounded to 3 decimal places?
0.039
What is 0.0001608 rounded to 5 dps?
0.00016
Round 0.067699 to 4 dps.
0.0677
Round -111.44 to the nearest integer.
-111
What is -0.02821 rounded to 2 decimal places?
-0.03
What is -16080000 rounded to the nearest 1000000?
-16000000
What is 0.00000020201 rounded to seven decimal places?
0.0000002
What is 2511000 rounded to the nearest 1000000?
3000000
Round 108.472 to one decimal place.
108.5
Round -0.035318 to 2 dps.
-0.04
What is 0.001929 rounded to four dps?
0.0019
Round -269.63 to the nearest 100.
-300
Round 0.6982 to 2 decimal places.
0.7
What is -9387 rounded to the nearest 100?
-9400
What is 0.00001 rounded to five dps?
0.00001
Round 255.58 to the nearest 10.
260
Round -139200000 to the nearest 1000000.
-139000000
What is 22000000 rounded to the nearest one million?
22000000
Round -78521000 to the nearest one million.
-79000000
Round 10472000 to the nearest 100000.
10500000
What is -0.0001422 rounded to five decimal places?
-0.00014
What is -0.0039739 rounded to three decimal places?
-0.004
Round 576700 to the nearest 100000.
600000
What is 69 rounded to the nearest 100?
100
What is 5465900 rounded to the nearest 100000?
5500000
Round -0.040135 to 3 dps.
-0.04
What is 332420000 rounded to the nearest one million?
332000000
Round -8.908 to the nearest integer.
-9
What is -4.8 rounded to one decimal place?
-4.8
Round -2480000 to the nearest 1000000.
-2000000
Round 0.00169 to 2 dps.
0
What is -2137 rounded to the nearest 100?
-2100
What is 0.000391 rounded to four dps?
0.0004
What is 14.529 rounded to the nearest 10?
10
What is 0.51456 rounded to two decimal places?
0.51
What is 0.1391 rounded to 2 dps?
0.14
What is 23.354 rounded to 1 dp?
23.4
Round -0.00024015 to five dps.
-0.00024
Round 265.7 to the nearest integer.
266
What is 1626 rounded to the nearest 100?
1600
What is 71.55 rounded to zero decimal places?
72
What is -191.43 rounded to the nearest ten?
-190
Round -49.577 to one decimal place.
-49.6
Round -118900000 to the nearest 1000000.
-119000000
What is -0.0577 rounded to 2 decimal places?
-0.06
Round -39688400 to the nearest one hundred thousand.
-39700000
What is 4.9678 rounded to the nearest integer?
5
What is -0.00054 rounded to three dps?
-0.001
Round 0.0000002 to 6 dps.
0
Round 0.0000014 to 4 decimal places.
0
What is -1182300 rounded to the nearest one million?
-1000000
What is 12.61 rounded to 1 dp?
12.6
Round 0.1624 to two decimal places.
0.16
Round 0.000007337 to 7 decimal places.
0.0000073
What is -6102200 rounded to the nearest 1000000?
-6000000
Round 0.002727 to four dps.
0.0027
What is 2.6575 rounded to one dp?
2.7
Round -0.00012376 to five decimal places.
-0.00012
What is 0.78996 rounded to two dps?
0.79
What is 0.000011281 rounded to 7 dps?
0.0000113
What is -47 rounded to zero decimal places?
-47
What is -0.0006871 rounded to five decimal places?
-0.00069
What is 0.000409 rounded to five dps?
0.00041
Round 0.14253 to three dps.
0.143
What is 0.0007947 rounded to 4 dps?
0.0008
Round 0.041221 to 3 dps.
0.041
What is 0.00000655 rounded to 7 decimal places?
0.0000066
Round 0.000005749 to seven dps.
0.0000057
Round -0.6783 to 1 decimal place.
-0.7
Round 0.0000015477 to seven decimal places.
0.0000015
What is 362 rounded to the nearest ten?
360
What is 0.000018488 rounded to seven decimal places?
0.0000185
What is 3.095 rounded to the nearest integer?
3
What is -533.4 rounded to the nearest ten?
-530
Round -0.001406 to 4 dps.
-0.0014
What is -599.7 rounded to the nearest 10?
-600
What is 3550.7 rounded to the nearest 10?
3550
Round 2038.05 to the nearest 10.
2040
Round -135370 to the nearest 1000.
-135000
What is -60000 rounded to the nearest 100000?
-100000
Round 0.00006423 to 6 decimal places.
0.000064
What is 23690000 rounded to the nearest 1000000?
24000000
What is -0.002718 rounded to 3 decimal places?
-0.003
Round 16720 to the nearest one thousand.
17000
What is 0.0000017685 rounded to 7 dps?
0.0000018
Round -0.0001207 to 5 dps.
-0.00012
Round -4444 to the nearest ten thousand.
0
Round 25.563 to the nearest integer.
26
What is 0.00058149 rounded to 4 decimal places?
0.0006
Round -323.9 to the nearest integer.
-324
Round 4.8199 to one dp.
4.8
What is 419150 rounded to the nearest one thousand?
419000
Round -183500 to the nearest ten thousand.
-180000
Round 8741000 to the nearest one hundred thousand.
8700000
Round -78949000 to the nearest one million.
-79000000
What is -1069 rounded to the nearest 100?
-1100
What is -0.05455 rounded to 3 decimal places?
-0.055
Round -294.07 to zero dps.
-294
What is -0.00009 rounded to 6 dps?
-0.00009
What is 0.0000055 rounded to six decimal places?
0.000006
What is 0.000079227 rounded to 5 dps?
0.00008
Round 0.07987 to 3 dps.
0.08
What is -0.04594 rounded to two dps?
-0.05
Round -142900000 to the nearest one million.
-143000000
Round -3783300 to the nearest one million.
-4000000
What is 9.4099 rounded to the nearest integer?
9
What is -230270 rounded to the nearest 10000?
-230000
What is 0.00001205 rounded to 5 decimal places?
0.00001
What is -1149.8 rounded to the nearest ten?
-1150
Round -10762 to the nearest 100.
-10800
Round 22.296 to the nearest integer.
22
What is -1620 rounded to the nearest 100?
-1600
Round 1077 to the nearest ten.
1080
Round 0.17552 to 1 decimal place.
0.2
What is 0.001978 rounded to four dps?
0.002
What is 0.00013332 rounded to 6 dps?
0.000133
What is -7166300 rounded to the nearest 100000?
-7200000
Round 6157.1 to the nearest ten.
6160
What is -0.0000683 rounded to four dps?
-0.0001
Round 0.0531547 to 3 decimal places.
0.053
Round 1.9877 to 2 dps.
1.99
What is -75.7 rounded to the nearest 100?
-100
What is 61048000 rounded to the nearest one hundred thousand?
61000000
What is -15.53 rounded to 1 decimal place?
-15.5
Round -15.383 to the nearest integer.
-15
What is 75.54 rounded to the nearest integer?
76
What is 463.24 rounded to the nearest 10?
460
What is -192696 rounded to the nearest 100000?
-200000
Round -112850 to the nearest 100000.
-100000
What is -4471.3 rounded to the nearest ten?
-4470
What is 0.00000311 rounded to 7 dps?
0.0000031
What is 0.0000107025 rounded to six dps?
0.000011
What is 29000 rounded to the nearest one hundred thousand?
0
What is 0.0208 rounded to three dps?
0.021
Round 4550000 to the nearest one million.
5000000
Round -87.56 to the nearest 10.
-90
Round -0.0289603 to 4 dps.
-0.029
Round 0.001812 to five decimal places.
0.00181
What is 11316 rounded to the nearest 1000?
11000
Round -163000000 to the nearest one million.
-163000000
What is 0.00000050703 rounded to 7 dps?
0.0000005
Round 0.0001459 to five dps.
0.00015
Round 0.0029405 to four dps.
0.0029
What is 25570 rounded to the nearest 1000?
26000
What is 0.00002799 rounded to 5 decimal places?
0.00003
Round -0.0023046 to four dps.
-0.0023
What is 4.3725 rounded to 1 decimal place?
4.4
Round 7.145 to the nearest integer.
7
Round 84.66 to the nearest 10.
80
Round -0.0131 to three decimal places.
-0.013
Round -48030000 to the nearest 1000000.
-48000000
What is 76.82 rounded to the nearest integer?
77
What is 29050 rounded to the nearest one thousand?
29000
What is 4735 rounded to the nearest 100?
4700
What is 0.00034871 rounded to four dps?
0.0003
Round 0.000001482 to 6 dps.
0.000001
What is -2330000 rounded to the nearest 1000000?
-2000000
Round 1256.5 to the nearest 1000.
1000
Round -0.0273 to 2 decimal places.
-0.03
Round 0.0025473 to five dps.
0.00255
Round 55.4 to 0 dps.
55
What is 0.0000834 rounded to five dps?
0.00008
What is -7.365 rounded to the nearest ten?
-10
Round -0.0008971 to 4 dps.
-0.0009
What is 0.0031647 rounded to 5 decimal places?
0.00316
What is -0.000307921 rounded to five decimal places?
-0.00031
What is -0.00000529 rounded to 7 decimal places?
-0.0000053
Round -0.0337429 to three dps.
-0.034
Round -357 to the nearest 10000.
0
What is 0.09782 rounded
|
{
"pile_set_name": "DM Mathematics"
}
|
5 wrt k?
-3700*k**3
Let c(r) be the second derivative of 163*r**5/10 - 245*r**2 - 465*r. What is the first derivative of c(x) wrt x?
978*x**2
What is the second derivative of 6*b - 5*b**2 - 3 - 52*b**4 + 2 + 4*b**2 wrt b?
-624*b**2 - 2
Let l(w) be the first derivative of 97*w**6/3 - 25*w**3/3 + 2*w - 18. What is the third derivative of l(h) wrt h?
11640*h**2
Let p(v) be the first derivative of -85*v**2/2 - 16*v + 16. Differentiate p(a) wrt a.
-85
Let b(a) = -8*a - 3. Suppose -4*n + 15 = 3*z, z + 9 = -n + 2*n. Let w(p) = p + 1. Let t(f) = n*w(f) + b(f). What is the first derivative of t(y) wrt y?
-2
Let i(p) be the first derivative of -p**4 - 177*p**2/2 - 172*p - 473. What is the first derivative of i(k) wrt k?
-12*k**2 - 177
Let z be (3 - 0) + (-2 - -1). Find the first derivative of -3 - 9 - 4 - 32*p**3 + z wrt p.
-96*p**2
What is the second derivative of -6*f + 45*f**4 - 20 + 2*f - 108*f**4 + 40*f**2 + 58*f**4 wrt f?
-60*f**2 + 80
Let v(p) = 11*p**3 + 8*p**2 + 125. Let d(z) = -22*z**3 - 14*z**2 - 250. Let g(q) = -4*d(q) - 7*v(q). Differentiate g(i) with respect to i.
33*i**2
Suppose 6*p - p - 3*x - 26 = 0, 0 = 4*p - 3*x - 22. Find the second derivative of -4 - 9*o + 7*o**p + 4 - 3*o**4 wrt o.
48*o**2
Let r(o) be the second derivative of 16*o**6/15 - o**5/10 - 55*o**4/12 + 27*o - 1. Find the third derivative of r(n) wrt n.
768*n - 12
Let v be 1 + (-22)/18 - 7936/(-72). What is the third derivative of -48*m**3 - 44*m**3 + 2*m**2 + v*m**3 wrt m?
108
Let v(y) = -y**4 - y**3 + y**2 - y + 1. Let l(s) = 4*s**4 + 6*s**3 - 6*s**2 - 12*s - 77. Let f(b) = l(b) + 6*v(b). Differentiate f(j) with respect to j.
-8*j**3 - 18
What is the derivative of -2411*i + 2740*i - 219 + 28*i**2 + i**4 - 28*i**2 wrt i?
4*i**3 + 329
Let i be (20/25)/((-4)/(-30)). Suppose 2*t - 6 = -2*p, 5*p + 0 - 3 = t. Find the third derivative of g**2 + 2*g**6 - g**i - 5*g**t wrt g.
120*g**3
Let v(i) = 18*i. Let y(r) = 1039*r - 408. Let h(f) = -2*v(f) + y(f). What is the derivative of h(b) wrt b?
1003
Suppose -4*a + 20 = -4*o, o = -3*a + 11 - 4. What is the third derivative of 13*b**2 - 6*b**a - 10*b**3 + 13 - 13 wrt b?
-96
Let n(r) = -r**3 - 8*r**2 + r + 10. Let d be n(-8). What is the second derivative of -4*j**d + 4*j**2 + 11*j**4 - 19*j wrt j?
132*j**2
Let p(v) = -150*v**2 + 51*v - 1. Let j(y) = -151*y**2 + 53*y - 1. Let d(i) = -2*j(i) + 3*p(i). What is the second derivative of d(x) wrt x?
-296
Let t = -48 - -51. Find the second derivative of -2*l + 19*l**t + 27*l - 8*l**3 - 8*l**3 wrt l.
18*l
What is the second derivative of -15*p**4 - p**4 - 307*p + 602*p wrt p?
-192*p**2
Let r be 0*4/(-16) - -3. Let q(f) be the first derivative of r + 3*f**2 - 9*f + f + 6*f. What is the first derivative of q(a) wrt a?
6
Suppose -4*o + 8 = -16. Find the third derivative of j**2 + 0*j**2 + 4*j**o + 8*j**6 wrt j.
1440*j**3
Let w(i) = 1041*i + 1534. Let m(k) = 521*k + 767. Let u(z) = -7*m(z) + 3*w(z). Differentiate u(v) wrt v.
-524
Suppose 18 = 3*r + 3. Find the first derivative of 2 + 7 - r*d**4 + 6*d**4 + 19*d**4 wrt d.
80*d**3
Let b(t) = -9*t**3 + 1 + 4*t + 10*t**3 + t - 4*t. Let r(n) = -5*n**3 - 8*n**2 - 7*n + 6. Let a(h) = -6*b(h) - r(h). What is the second derivative of a(y) wrt y?
-6*y + 16
Let a(o) = 88*o**2 + 15*o - 20. Let m(p) = 58*p**2 + 10*p - 13. Let b(j) = -5*a(j) + 8*m(j). Find the second derivative of b(i) wrt i.
48
Let l(q) be the second derivative of -q**10/6048 - q**6/36 - q**4/4 - 10*q. Let a(i) be the third derivative of l(i). Find the second derivative of a(v) wrt v.
-100*v**3
Find the first derivative of -224 + 889*l**4 + 43*l**2 + 30*l**2 - 888*l**4 wrt l.
4*l**3 + 146*l
Let c(d) be the second derivative of d**6/15 + 23*d**4/12 + 27*d**3/2 + d**2 - 137*d. Find the second derivative of c(x) wrt x.
24*x**2 + 46
Let c = -43 - -52. Suppose 3*k + 28 = 4*m, 3 - 11 = 2*k. What is the first derivative of 3*o**m - 1 - c*o**4 + 6 - 3 wrt o?
-24*o**3
Find the second derivative of -730*l + 1037*l**2 + 39*l - 234*l - 68*l**2 + 89*l**2 wrt l.
2116
Let z(u) = 3*u**5 - 13*u**3 - 134*u**2 + u - 3. Let b(k) = -k**3 + k**2 - k + 1. Let v(n) = -3*b(n) - z(n). What is the third derivative of v(m) wrt m?
-180*m**2 + 96
Differentiate 274*i**4 + 5 - 100 - 16*i**4 - 746*i**4 - 114 wrt i.
-1952*i**3
Let o(b) = 57*b**2 - 13*b + 102. Let f(u) = 29*u**2 - 6*u + 51. Let q(p) = -13*f(p) + 6*o(p). What is the first derivative of q(v) wrt v?
-70*v
What is the third derivative of -1354*c**2 - 585*c**2 + 0*c**5 + 2*c**5 + 1187*c**2 + 9*c**6 wrt c?
1080*c**3 + 120*c**2
Let m(g) be the third derivative of 3*g**4/8 - 25*g**3/6 + 19*g**2. Let b(w) = -9*w + 25. Let u(x) = 5*b(x) + 6*m(x). Find the first derivative of u(c) wrt c.
9
Suppose 0 = -3*z + z - 10. Let n = -3 - z. What is the third derivative of 5*t - 4*t**n - 5*t - 5*t**5 wrt t?
-300*t**2
Differentiate 39 + 29 - 43*y + 37 wrt y.
-43
Find the third derivative of 77*f - 36*f + 16 - 16 - 34*f**4 + 2*f**2 + f**3 wrt f.
-816*f + 6
Let j(s) be the second derivative of -s**5/5 - s**4/3 + s**3/2 - 7*s**2 + 3*s + 6. Find the second derivative of j(g) wrt g.
-24*g - 8
Let c(z) = z**3 + 3*z**2 + 2. Let b be c(-2). Differentiate 8 - 3 - b - 21*m - 3 with respect to m.
-21
Let s(x) be the third derivative of 0 + 0*x + 0*x**6 + 13/12*x**4 + 0*x**5 + 0*x**3 - 9*x**2 + 2/35*x**7. What is the second derivative of s(p) wrt p?
144*p**2
Let a(d) = 0 - 3 - 1 - 2 - d. Let q be a(-8). Find the third derivative of -3*z**q - 2*z**2 + 5*z - 5*z + 6*z**5 wrt z.
360*z**2
Let r(z) = z**2 + 10*z + 12. Let a be r(-8). Let h be 68/12 - a/(-6). Find the third derivative of -6*l**5 + 6*l**6 - 3*l**2 + 6*l**h - l**2 wrt l.
720*l**3
Let b(n) be the second derivative of n**8/448 - n**7/360 - 5*n**4/4 - 28*n. Let y(a) be the third derivative of b(a). Find the third derivative of y(x) wrt x.
90
What is the derivative of -28*q**3 - 481 + 195*q - 195*q - 45*q**3 wrt q?
-219*q**2
Let l be (-3)/(-2 + 3/6). Suppose 0 = l*k + 5*c - 19, 4 = -5*k + 4*k + 2*c. What is the first derivative of 6*z**2 + 1 + 2*z**2 + 0*z**2 - 3*z**k wrt z?
10*z
What is the third derivative of -3*u**4 + 3*u**4 - 246 + 2*u**2 + 287 - 115*u**6 wrt u?
-13800*u**3
Suppose -3*b = b + z + 57, 4*b + 66 = 2*z. Let h = -15 - b. What is the third derivative of -7*f**2 + h*f**6 + 7*f**6 + f**2 wrt f?
840*f**3
What is the second derivative of 79*p**2 + 11*p - 2*p + 6*p - 16*p wrt p?
158
Let v(s) = 11*s**3 - 2*s**2 + 9. Let h = -29 - -31. Let b(g) = -342*g**3 + 63*g**2 - 279. Let j(k) = h*b(k) + 63*v(k). Differentiate j(q) wrt q.
27*q**2
Let y = 31 + -25. Find the third derivative of 3*p**2 + 2146*p**3 + y*p**6 - 2146*p**3 wrt p.
720*p**3
Suppose 2*k = -5*g + 16 + 6, g + 3*k = 7. Find the third derivative of -r**4 - 946*r**5 - 32*r**2 + r**g + 939*r**5 wrt r.
-420*r**2
Let n(d) be the third derivative of 0*d**6 + 0*d + 0*d**4 + 0 + 2/105*d**7 + 0*d**5 - 11*d**2 + 4/3*d**3. Differentiate n(c) wrt c.
16*c**3
What is the second derivative of -8302*i**2 + 7694*i**2 + 98*i - 468*i wrt i?
-1216
Let k(a) be the second derivative of -5*a**7/21 + a**6/15 + 4*a**4 + 3*a - 7. Find the third derivative of k(b) wrt b.
-600*b**2 + 48*b
Let m = 1873 + -1865. Let y(u) be the second derivative of -7/6*u**3 + 0 - m*u + 6*u**2. Find the first derivative of y(h) wrt h.
-7
What is the first derivative of 43 + 16*t**2 - 195*t**2 - 109 - 110 + 33 wrt t?
-358*t
Let o(g) = -3*g**3 + 3*g**2 + 91. Let z(r) = 2*r**3 - r**2 - 90. Let s(i) = -4*o(i) - 5*z(i). Find the first derivative of s(x) wrt x.
6*x**2 - 14*x
Let h = -17 - -20. Suppose -9 = -f - h. Find the third derivative of -3 + 10 + 7*r**f - 7 + 6*r**2 wrt r.
840*r**3
Let u = 16 + -13. Let r = -1 + u. Find the first derivative of -4*h**2 - 4 - 3*h**2 + h**r + h**2 wrt h.
-10*h
Let m(s) = 239*s**4 + 140*s**2 - 11. Let c(k) = 79*k**4 + 47*k**2 - 4. Let a(g) = 11*c(g) - 4*m(g). What is the third derivative of a(z) wrt z?
-2088*z
Find the second derivative of 22*n**5 - 10*n**4 - 90*n**5 + 10*n**4 + 234*n - 2*n**2 wrt n.
-1360*n**3 - 4
Let d(u) be the second derivative of 319*u**3/6 - 121*u**2 - 309*u. What is the derivative of d(r) wrt r?
319
Find the second derivative of -8*y + 10*y**2 - 87*y**2 - 38*y wrt y.
-154
Let v = 83 - 74. Find the second derivative of 11*r + v*r**4 + r**4 + 9*r + 8*r wrt r.
120*r*
|
{
"pile_set_name": "DM Mathematics"
}
|
(-54/5005)
Simplify (y*y*y**(-1/36)*y)**(-7/9)/((y**22/y)/((y*y*y**7)/y)) assuming y is positive.
y**(-4961/324)
Simplify ((((n/n**(-11))/n*n*n)/((n/n**(1/18))/n))/((n*n**(-2/39))/(n/(n/(n**(-1)/n)))))**46 assuming n is positive.
n**(54395/117)
Simplify (r**(-15/7)/r)**(-15)*(r**(-2/7))**(-3/4) assuming r is positive.
r**(663/14)
Simplify (p*p**8*p*(p*p/(p/((p/(p**(-7)/p))/p))*p)/p)/(p**(-3/2))**(-32) assuming p is positive.
p**(-29)
Simplify ((((u*u/(u/u**11)*u*u)/u)/(u/(u/u**(20/3))))**11)**(-44) assuming u is positive.
u**(-9196/3)
Simplify (((j*j**3)**(-10/3))**(-3/26))**(-10) assuming j is positive.
j**(-200/13)
Simplify (d/d**(2/3))**(-12)/(d/(d*d**(-12))*d**(-3/10)) assuming d is positive.
d**(-157/10)
Simplify (s**3*s/s**(-5))/((s/s**(1/9))/s*s**(1/17)/s) assuming s is positive.
s**(1538/153)
Simplify (t**(-1/3))**(8/9)*t/((t*t**(-21))/t)*t*t**(2/13) assuming t is positive.
t**(8023/351)
Simplify ((y**(6/17)*y*y/(y/y**(-10)))**(-2/53))**(-4) assuming y is positive.
y**(-1176/901)
Simplify (g**(-14)/((g*g/g**(-5/7))/g))**5 assuming g is positive.
g**(-550/7)
Simplify (t**(-1/21))**30*((((t*t*t**13)/t)/t)/t)**(-48) assuming t is positive.
t**(-4042/7)
Simplify (q**(-1/12)*q/((q**(2/17)*q)/q))/(q*q**(1/4)/q)**(-3/10) assuming q is positive.
q**(1783/2040)
Simplify n**(-5)*n*n**(-2/7)*n*(n/n**8)/((n/n**(-2/29))/n*n) assuming n is positive.
n**(-2305/203)
Simplify (s**(-6)*s*s**(-1)*s*s**(2/11)/s*s*s**7)**40 assuming s is positive.
s**(960/11)
Simplify ((d/(d*d**(7/8)*d))/(d**(-6/23)*d))/((d**(-5/3)/d*d)/(d/d**(1/4))) assuming d is positive.
d**(-109/552)
Simplify (((r**(-1)*r)/(r*r**6/r*r))**(19/5))**(-16) assuming r is positive.
r**(2128/5)
Simplify (d**(-2/39)*d/(d*d*d**(-4/3)))/((((d*((d*d**(-1/4)*d)/d)/d*d)/d)/d)/(d*d**12)) assuming d is positive.
d**(2111/156)
Simplify ((u*u**(1/2)*u)**(-19)/(u**(2/9)/(u*u/u**12)))**(-48) assuming u is positive.
u**(8312/3)
Simplify ((l**(1/5)/(l**(1/4)/l))/(l**(-1/3))**49)**(-2/99) assuming l is positive.
l**(-1037/2970)
Simplify ((k*k**(2/47)*k)/k**(-4/5))**(2/39) assuming k is positive.
k**(1336/9165)
Simplify ((o**1*o)**(-50)/(o*o**(-2)/o*o*o*((o*o**(-2/7))/o)/o*o))**(-2/33) assuming o is positive.
o**(1396/231)
Simplify (((s*s**(-2/11)*s*s)/((s*s*s/((s/((s**(1/5)*s)/s)*s)/s))/s))/(s**(3/10)*s*s*((s**(-10)*s)/s)/s))**20 assuming s is positive.
s**(2270/11)
Simplify (a**(-13)/a**(-3/4))/(a**12*(a/((a/(a*a/(a/a**(-11))*a*a))/a))/a*a) assuming a is positive.
a**(-69/4)
Simplify ((x**(1/9)/x)/(x/(x*x**(-2/19))*x))/(x**(2/3)/(x/x**(-3))) assuming x is positive.
x**(229/171)
Simplify ((a*((a/a**6)/a)/a)**(15/8))**(-2/45) assuming a is positive.
sqrt(a)
Simplify (j**(1/19)/(j/j**(-18)))/(j*j**(-14)*j*j**(15/8)) assuming j is positive.
j**(-1341/152)
Simplify (w/((w**6*w)/w)*w)**(-6/13)*w**(-10)/(w*w*w**(-3/10)) assuming w is positive.
w**(-1281/130)
Simplify ((q**(2/5))**9*q**3/q**(4/3))**(1/28) assuming q is positive.
q**(79/420)
Simplify (l/l**9*(l**(-4)*l)/l)/(l**(2/7)*l**11*l) assuming l is positive.
l**(-170/7)
Simplify (r/(r**9/r)*r**(-2/9)*(r**3)**(-7/5))**23 assuming r is positive.
r**(-11822/45)
Simplify ((q**22/q)/q*q*q*q**(2/25))**(1/54) assuming q is positive.
q**(92/225)
Simplify (p/(p*p*p/p**(2/11)))**(-2/5)*((p**(-7)/p)/p)/p*p/(p/(p*(p*p**(-12)*p)/p))*p assuming p is positive.
p**(-201/11)
Simplify (((q*q/(q**(-4/15)*q))/q*q)/(q**2*q))/(q*q**(1/2)/q*q*q/q**(-2/59)) assuming q is positive.
q**(-7553/1770)
Simplify (f*f*f**3)**(8/13)/(f**(1/2)/(f/(f/(f*f/f**(-2/7))))) assuming f is positive.
f**(885/182)
Simplify (g*g/(g/g**(-3/7)*g)*(g/(g/g**(-4)))/g)/(g**6/(g*g**13)) assuming g is positive.
g**(18/7)
Simplify (((q**(2/7)*q*q)/q)**(-1/10)/(q**0/q)**(2/143))**(-15) assuming q is positive.
q**(3441/2002)
Simplify c*c**27*(c**(-5/6)*c)/c*(c**(-2/19))**35 assuming c is positive.
c**(2677/114)
Simplify ((x**(-4))**20)**(-7) assuming x is positive.
x**560
Simplify (k*k**2)/k*k*k*(k/(k*k**(1/10)*k)*k)/k*k*k**(1/18)/((k/k**3)/k) assuming k is positive.
k**(313/45)
Simplify (c**(3/5)*c*c**(3/5)/c*(c**(-1/2)/c)**(2/7))**(-48) assuming c is positive.
c**(-1296/35)
Simplify (c*c*c**(-2))**39*(c*c*c*c/(c/(c**5/c)))**42 assuming c is positive.
c**294
Simplify (((q/(q/q**9))/(q/q**(11/3)*q))**(1/5))**(-37/4) assuming q is positive.
q**(-296/15)
Simplify (u*u**8)**5/(u**(-1/2)/(u/(((u*u**12)/u)/u))) assuming u is positive.
u**(71/2)
Simplify d**(-1/14)*(((d*d*(d/d**(-10/3))/d*d*d*d*d*d)/d)/d)/d*(d*(d*d/d**(-1/8))/d)/d**(-22) assuming d is positive.
d**(5273/168)
Simplify ((z/((z/z**(-3)*z)/z))/(z/z**(-3/8)))/(z**(2/9)/(z*z**(-2/15)*z)) assuming z is positive.
z**(-983/360)
Simplify b*b**4/b*b**4*(b**(-3/7)/b)**(-48) assuming b is positive.
b**(536/7)
Simplify f**(2/23)/(f**18/f)*(f/((f/(f**(-1/4)/f))/f))/(f/f**13) assuming f is positive.
f**(-475/92)
Simplify (o*(o*o**10*o)/o)/o*o**(-4)*(o*((o/((o*o**13)/o))/o)/o*o)/(o/(o**16/o)) assuming o is positive.
o**9
Simplify ((s*s**11)/s**(-13))/(s**(-2/5)*s**(1/16)) assuming s is positive.
s**(2027/80)
Simplify r/(r*r/(r*(r**(2/5)*r)/r)*r*r*r*r)*r/r**(-6)*r/((r*r**8)/r)*r*((r**(-6)*r*r)/r)/r*r assuming r is positive.
r**(-38/5)
Simplify (v**(-4)*v/(v*v*v**3)*v/((v/v**(1/9))/v)*v/(v*v/(v*v/(((v/(v*v**(-6)))/v)/v)*v)*v))**(2/27) assuming v is positive.
v**(-178/243)
Simplify ((w*w*w**(-12)*w)/w**(-1/6))/(w*(((w*((w*w/(w/(w/w**(-2))*w))/w)/w*w)/w)/w)/w)**42 assuming w is positive.
w**(-305/6)
Simplify ((b**17/b)/(b**(-12)*b))/((b**1*b)/(b**10*b)) assuming b is positive.
b**36
Simplify (y**(-7)/(y/(y/y**(3/11))))/(y/(y**(2/11)*y*y))**39 assuming y is positive.
y**(427/11)
Simplify (n**(-4/13)/(n**(-5/13)*n))/(n**(13/3)/(n**28*n)) assuming n is positive.
n**(926/39)
Simplify (k**13*(k/(k**(-19/2)/k))/k)/(k**8/(k*k**(-20))) assuming k is positive.
k**(-7/2)
Simplify ((o/o**1*o)**(1/51)*o**(-2/15)*o**(2/17))**(27/5) assuming o is positive.
o**(9/425)
Simplify (t**(2/35)/((t/(t**13/t))/t))/(t**(-2))**(1/2) assuming t is positive.
t**(457/35)
Simplify (k**19/k*k*k)**(-8/7)*k**(-8/7)/(k/(k*k**(-1/4))*k) assuming k is positive.
k**(-101/4)
Simplify (n*n**3)**23*((n*n*n**(3/5)/n*n*n)/n)**(48/11) assuming n is positive.
n**(5684/55)
Simplify (k*k/(k*k**(-2)))**(-29)/(k/k**(-4))**(2/59) assuming k is positive.
k**(-5143/59)
Simplify (d*d/d**4)**(-26)*d**(-20)*d/((d**(2/27)*d)/d) assuming d is positive.
d**(889/27)
Simplify (r*r/(r*r*(r**(-14)*r)/r))/(r**(-2)*r*r*r)*r**(-1/7)*r*r*r**(-21) assuming r is positive.
r**(-43/7)
Simplify ((i**(4/3)/i*i**(-8))**15)**(1/44) assuming i is positive.
i**(-115/44)
Simplify (((n**5*n*n)/(n*n**(2/3)*n))**18)**(-31) assuming n is positive.
n**(-2418)
Simplify (r/(r**(-4)/r)*r**(-6/7))/(r**(1/2))**22 assuming r is positive.
r**(-41/7)
Simplify ((m*m**(-2/3)*m)/m)/m**(-3/7)*m*m**(-4/13)*m*m*m**(-15)*m assuming m is positive.
m**(-2879/273)
Simplify ((a*a**(-3))/a**23)**(-30) assuming a is positive.
a**750
Simplify ((u/(u*u**(-31/2)*u))/u**32)**(-1/17) assuming u is positive.
u**(35/34)
Simplify ((v/(v/v**(8/7))*v)/v)/(v/(v**(-2/3)/v))*(v*v/(v/(v/(v/((v**(1/7)*v)/v)))*v*v))/v*v/((v/(v/v**(1/22)))/v) assuming v is positive.
v**(-659/462)
Simplify (a**10*a)**(-7)*(a**17)**(-41) assuming a is positive.
a**(-774)
Simplify (o**(1/25)*o)/o**(1/4)*o/(((o*(o*o**(-16)/o*o)/o)/o)/o)*o**13 assuming o is positive.
o**(3179/100)
Simplify a**(-1/4)/(a**(-1/2)/a)*(a**(1/5)*a)**(2/65) assuming a is positive.
a**(1673/1300)
Simplify (q**(-20/3)/(q/(q*q/q**(16/9)*q*q*q*q*q)))/((q*q/((q*q**(6/11)*q)/q))/(q*q/((q/(q/(q*q/q**(-28))))/q))) assuming q is positive.
q**(-2960/99)
Simplify (o**(2/3))**38/((o/((o/o**(1/6)*o)/o))/((o*o**(-11))/o*o)) assuming o is positive.
o**(91/6)
Simplify (((s**(-1)/s)/s)/s)**(4/3)/(s/(s**(-3/4)*s)*s/(s*s**(-3/8))) assuming s is positive.
s**(-155/24)
Simplify (q*q**(-2/3))/q*q**(2/3)*(q*q**(-9))/q*q*((((q**(-3/7)*q*q)/q)/q)/q)/q assuming q is positive.
q**(-73/7)
Simplify (((j**(-6)*j)/j*j)/j)**(2/5)/((j*j/j**(2/35)*j)/j**14) assuming j is positive.
j**(303/35)
Simplify (q**(-2/11))**(-2/9)*(q*q**0)**(-20) assuming q is positive.
q**(-1976/99)
Simplify c*c*c*c/c**(-3/2)*c*c**(-17)*c*c*c/((c/(c*c*c**(-14/3)))/c)*c**(-1) assuming c is positive.
c**(-67/6)
Simplify (p**(-3)*(p*p**(-11))/p*(p**(-1/2))**50)**(-16) assuming p is positiv
|
{
"pile_set_name": "DM Mathematics"
}
|
5*m + 288188 = -p. Is m prime?
True
Let s be 0 - (1 + -2 - -104). Suppose -11*f + 706 = -1406. Let m = s + f. Is m a composite number?
False
Let n be 22/(-99) + 1750/18. Suppose -90*f + n*f = 61943. Is f prime?
True
Is (395 + 18)*234 + (1 - 0) prime?
True
Suppose 20*z - 1410 = 18*z. Suppose -4*c = -c + 2*m - 528, 4*c = -3*m + z. Suppose -2*g = 4*t - c, -3*g - 4*t + 202 + 51 = 0. Is g prime?
True
Let q(l) = 2742 - 2737 + 1424*l**2 + l + 4*l. Is q(2) a composite number?
False
Let k = -193292 + 271171. Is k a composite number?
True
Let w be (-4)/(-6) + -110*(-1)/6. Suppose 22*u - 24 = w*u. Suppose 0 = u*l + l - 5715. Is l prime?
False
Let a(i) = -3*i**3 + 2*i**2 + 101*i + 83. Is a(-58) prime?
False
Let j be (75 + -77)*((-3)/2)/3. Is (-310 + 0 + j)*55/(-33) a composite number?
True
Suppose 5*l - 43 = -23. Let i(u) = -88*u + 6. Let q be i(-5). Suppose -l*f + 878 = -q. Is f composite?
False
Suppose 5*s = 3*v - 179759, -3*v + 153212 + 26577 = s. Suppose 74901 = 5*i + 4*r, 4*r + v = 3*i + i. Is i composite?
True
Let y be (6561/(-12))/3 + (-1)/(-4). Let x = 2361 + y. Is x composite?
False
Let m(w) be the first derivative of 207*w**2 + 39*w + 54. Is m(8) a prime number?
False
Let r(u) = 963*u + 25. Suppose -3*w = -0 - 18. Is r(w) a composite number?
True
Let j(d) = 76*d**2 - 31*d - 460. Is j(-13) composite?
True
Let z = -409 - 2462. Let t = -697 - z. Is t composite?
True
Let c(h) = 179*h**2 + 39*h - 987. Is c(-47) a prime number?
False
Suppose 2*d = -5*g + 6*d + 8, -2*d = 3*g - 18. Suppose 2*s + 8226 = 2*i, 16472 = g*i + 8*s - 7*s. Is i composite?
True
Suppose 2*m = -0 + 4. Suppose -10*y - 408 + 1958 = 0. Suppose m*b - y = 1359. Is b a prime number?
True
Suppose -31 = 2*t - 33, j - 5*t - 36162 = 0. Is j prime?
False
Let b(x) = -x**2 + 23*x - 15. Let s be 1*57/15 + 3/15. Suppose h - 21 = -s. Is b(h) a composite number?
True
Suppose 0*o = -3*v - 4*o + 3, -v + 5*o = -1. Let u be ((-8)/4)/((-2)/(-3)). Is ((-6)/3 - u/v)*557 a prime number?
True
Let y(j) = -814*j - 26. Let p(m) = -m**3 - m**2 - 3*m - 4. Let s be p(0). Let o be y(s). Suppose 15*n - 5*n = o. Is n a prime number?
False
Let d(q) = 2*q**2 - 53*q + 49. Let p(a) = a**2 - 27*a + 25. Let g(x) = 3*d(x) - 5*p(x). Let u be g(9). Is (10/25)/1 + u/(-5) a prime number?
True
Let c(q) = 883*q + 1352. Is c(33) prime?
True
Let j(f) = 86*f + 21. Suppose -6 = u - 5*b + 1, -9 = -u - 3*b. Let r(o) = 85*o + 22. Let t(x) = u*r(x) - 2*j(x). Is t(25) a composite number?
False
Let d = 451917 + -99700. Is d a prime number?
True
Let j be 12934855/2875 + 4/(-50). Let x = -2262 + j. Is x a composite number?
False
Let x = -7803 + 14440. Is x prime?
True
Let n(c) = 3*c**3 + 23*c**2 - 68*c - 311. Is n(29) composite?
False
Is (-2)/25 + (16 - (-13911651)/325) prime?
True
Is 332565900/200 + 5/(-10) composite?
True
Let i(f) = -14*f**2 - 8*f - 3. Let o(u) = -16*u**2 - 8*u - 2. Let l(m) = 3*i(m) - 4*o(m). Is l(-2) prime?
True
Let k be (6 + 76782/(-15))*-30 + 6. Suppose 2*r - 48433 = -u, 5*u + r - k - 88793 = 0. Is u a composite number?
False
Let w = -52691 - -199254. Is w a composite number?
False
Suppose 4*i = 5*n - 65, -n - 4 - 2 = 3*i. Let u(g) = -2*g**2 - g + 7*g**2 - 4*g**2 + n*g**2 - 28. Is u(6) a composite number?
True
Let o(n) = -54284*n - 98. Let p be o(5). Is p/(-65) - (-1)/(-5) a prime number?
True
Suppose -10*g = g - 264945 - 86164. Is g composite?
True
Let t(u) = -27*u + 1. Suppose 9*z + 3*l = 13*z + 101, 4*l = 4*z + 100. Is t(z) prime?
False
Let z(i) = 8*i**2 - 3*i. Let a be z(1). Is 896 + -4*a/20 a prime number?
False
Let c be (-1 - -1) + (3 - (1 - 2)). Suppose -t + 2*x = -4667, 2*t + 0*x - 9334 = -c*x. Is t a composite number?
True
Suppose 174*i - 2832467 = 5389207. Is i prime?
True
Suppose 16 = -4*n + 32. Suppose 7 = n*l + 4*f + 3, -3 = -l - 3*f. Suppose -4*k = 2*v - 2360, -k + l*k = -5*v - 601. Is k composite?
True
Let a = -26 - -28. Suppose -z = 4*u - 12726, -5*u + a*z + 13850 + 2051 = 0. Is u a composite number?
False
Let h(c) be the third derivative of -30*c**2 - 1/60*c**5 - 1/24*c**4 + 1/6*c**3 + 35/3*c**6 + 0*c + 0. Is h(1) a composite number?
False
Let f(c) be the third derivative of c**6/120 - 3*c**5/20 - c**4/24 + 3*c**3/2 + 3*c**2. Let b be f(9). Suppose b = 8*s - 11*s + 369. Is s prime?
False
Let h be (-2 + 1)*(-4 - 15). Let r = 24 - h. Suppose l = -s - 3*l + 297, -5*l - r = 0. Is s a prime number?
False
Let r be (-1 + 1)/((-4)/(-2)). Let k be r + ((-702)/(-2) - 2). Let f = k + 28. Is f prime?
False
Let x be (-162)/63 + (-8)/(-14). Let d be 2710 + x*4/(-8). Suppose 0 = -3*o - 2*h + d, 4*h = 10 - 30. Is o composite?
False
Suppose 5630*n + 1401615 = 5639*n. Is n composite?
True
Let y(w) = 417*w - 12. Suppose -v - 8 = -0*v - 5*h, 3*v - 15 = 2*h. Let c be y(v). Let d = -736 + c. Is d prime?
False
Suppose 1890289 = 12*a - 3*a - 79370. Is a composite?
True
Is (21/(-12)*(-18)/(-21) + 2)*284554 a prime number?
False
Let o(g) = -6109*g**2 + 4*g + 3. Let q be o(-1). Let f = q - -14954. Suppose -11*z + f = z. Is z prime?
False
Let x be (2/(-4))/((4/(-16))/1). Let p be ((-6)/4)/(7/(-14)). Suppose -2*j = -x*o + 1848, 4*o = -p*j - 2*j + 3669. Is o prime?
False
Let z be 4 - -6*(-54)/(-4). Suppose z = 5*y - 55. Suppose -33*g + 4595 = -y*g. Is g prime?
True
Let y = 514 - 13. Suppose z = 196 + y. Is z composite?
True
Suppose 5*b - 95 = 3*g + 2*g, 39 = -g + 5*b. Let p = g + 41. Suppose -77 = -4*d + p. Is d a prime number?
False
Suppose -5*l + z + 15 = -0*z, -5*l = -3*z - 5. Suppose r + 5*s = l*r - 21, 0 = -3*r - 2*s. Suppose -r*v + 2658 = -360. Is v a prime number?
False
Suppose 399*p = 12924389 - 4101524 + 17514726. Is p a prime number?
False
Let b(o) = 21749*o**2 - 41*o + 291. Is b(8) prime?
True
Let t(o) = -427*o - 16. Let c be t(-3). Suppose -4*f - 3143 = -5*l, 2*l - 49*f = -50*f + c. Is l prime?
True
Let g = 4707 + -6843. Let o = g + 6917. Is o a composite number?
True
Let r(o) = 70*o**3 - o**2 + o + 1. Suppose 0 = 5*d - 25, -a + 5 - 1 = d. Let w be r(a). Let m = w - -204. Is m a composite number?
True
Suppose 6696 = -7*c + 3*c. Let m = c + 3391. Is m a prime number?
False
Suppose 53685 - 17095 = -10*k. Is 6/15*5 - k prime?
False
Let s = 967944 - -213769. Is s prime?
False
Let g(s) be the first derivative of -50*s**2 - 6*s - 880. Let u(n) = -n**2 - 2*n + 1. Let t be u(1). Is g(t) a composite number?
True
Suppose 0 = 5*f - 2*k - 898723, -k + 359491 = -8*f + 10*f. Is f/20 + 70/(-56) a prime number?
False
Is -23473*(-12)/((-120)/(-110)) composite?
True
Is 9629728/14 - (-1989)/1547 a composite number?
False
Suppose -6*c - 17 = -2*c - 5*z, -c = -3*z + 13. Is (-4138)/(-12) + c + (-20)/(-120) prime?
True
Suppose 6993336 + 13157707 = 31*s + 2778984. Is s composite?
True
Suppose -18 = 7*d + 164. Let f(w) = -w**3 - 25*w**2 + 17*w + 28. Is f(d) a composite number?
True
Suppose -s - 16 - 36 = 0. Let n = 52 + s. Suppose 1262 = 2*h - n*h. Is h composite?
False
Let c be 0 + 8 + (-30 - -31). Suppose -c*b + 642 = -7*b. Suppose -u + 2*q = -b, -4*u + 0*q - 2*q + 1264 = 0. Is u composite?
False
Let x(i) = 14*i + 4881. Is x(19) prime?
True
Suppose -4*r = -625 + 609. Suppose -r*q + 2*q + 9146 = 3*g, 4573 = q + 3*g. Is q a prime number?
False
Suppose 0 = -4*r + 4*y + 4, y - 4*y - 12 = 0. Let x be 4/2*(-8)/(-12)*r. Is 16497/52 + 1/x a composite number?
False
Let b = 101974 - -390445. Is b composite?
True
Suppose -p + 4546 = -4*b, -3*p - b + 8985 = -4705. Suppose 0 = 6*h - 39712 - p. Is h a composite number?
True
Let q = -25 - -112. Let o = -87 + q. Suppose o = 5*i + l - 7631, 3*l = -i + 8*l + 1547. Is i a composite number?
True
Suppose -q - 35 = -14. Let o(v) = v**3 + 22*v**2 + 22*v + 17. Let x be o(q). Is (1/3)/(x/(-7764)) a composite number?
False
Let w = -2290 - -532. Let p = -2562 - w. Let g = 1185 + p. Is g composite?
True
Suppose 0 = -5*l + 4*x - 141, 3*x = 4*l + 2*x + 104. Let q = l - -22. Is q*1*(2 + (-64)/6) a prime number?
False
Suppose 129*f - 15458270 = -41*f. Is f a prime number?
True
Let t(l) = -45*l**2 + 3*l - 17 - 39*l**2 + 83*l**2. Let f be t(8). Let v = f - -136. Is v a composite number?
False
Suppose 0 = -33*j + 368 - 71. Suppose j*v - 10*v + 1357 = 0. Is v composite?
True
Suppose -2*g = 11*v - 9*v - 4, -3*v = 2*g - 6. Let u(p) = 62*p**3 - p**2 + p + 9. Is u(v) a composite number?
False
Suppose -3*u + 8925 = 2*u. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 1 + 1)*(-41 + 41 + 2*l**3) - 10 + 11*l**2 - 9*l**2 - 32*l**5 + 30*l**5.
-6*l**5 + 2*l**2 - 10
Expand (2*o**2 + o**2 - 11*o**3 - 2*o**2)*(5 + 27*o - 5).
-297*o**4 + 27*o**3
Expand (-6*t + 2*t + 7*t)*(-2 - 4 - 5)*(-t - t**2 + t).
33*t**3
Expand (4 + 0*p - 1 - 3*p)*(4*p - 4*p + 3*p)*(-3*p**2 + 4*p**2 + p**2) + 0*p**4 - p**4 - 5*p**4.
-24*p**4 + 18*p**3
Expand 5*s - s**2 - 5*s + (4*s - 2 - 4*s + 3*s)*(4 - 4 - 4*s).
-13*s**2 + 8*s
Expand (-6*h + 24 - 24)*(5*h**2 - 10*h + 10*h) + (5*h - 5*h + 7*h)*(2*h**2 - 6*h**2 + 2*h**2) - 4*h**3 - h**3 + 4*h**3.
-45*h**3
Expand (0*h + 0*h + 2*h)*(-4*h + h - h) + (h + 4*h - 4*h)*(2*h + 0*h + 2*h) - h**2 - 3 + 3.
-5*h**2
Expand -3*n**3 + 2*n**3 + 0*n**3 - 69*n**3 + 16*n**3 - 20*n**3 + (n + 3*n - 2*n)*(n**2 - 3*n**2 + 3*n**2).
-72*n**3
Expand (-1 - 5 + 2)*(-2*u - 3*u + 2*u)*(3 - 4 - 1).
-24*u
Expand (b + b - 3*b)*(-b + 2*b + b) - b**2 - 2*b**2 + 4*b**2 + (2 + 0 - 1)*(-3*b + 3*b - b**2) + 22*b**2 - 14*b**2 + 25*b**2.
31*b**2
Expand (-27*h + 40*h + 25*h)*((-2 + 0 + 1)*(2 + 3 - 4) - 1 + 1 - 1)*(2*h - h - 4*h).
228*h**2
Expand (-15*t - 172 + 172)*(2 + 0 - 1) + 0*t + 3*t - 6*t + (-3 + 6 - 2)*(-2*t + 4*t - t).
-17*t
Expand (2*b**3 + 2*b**2 - 2*b**2 + (b + b - 4*b)*(0*b**2 - 2*b**2 + 0*b**2))*(34*b**2 + 2*b**2 - 14*b**2).
132*b**5
Expand (3*b + 2*b - 3*b)*(-b - 2*b + 5*b)*(6*b - b - 4*b).
4*b**3
Expand (-424*n - 330*n - 154*n)*(n + 1 - 1 - n + 4*n - 4*n + (2*n - 3*n + 3*n)*(1 + 0 - 2) + 4 - n - 4).
2724*n**2
Expand (2 + 2 + 2*u - 5)*(-451*u + 909*u - 280*u).
356*u**2 - 178*u
Expand (5 - 3 - 8*g + 11*g)*(-21*g + 10*g**2 + 6*g + 12*g).
30*g**3 + 11*g**2 - 6*g
Expand -t**5 + 2*t**5 - 6*t**5 - t**5 + 4*t**5 - 2*t**5 + (-t**4 + 2*t**3 - 3*t**3 + 3*t**4)*(15*t + 10*t - t).
44*t**5 - 24*t**4
Expand (-4*v**2 + 2*v**2 + 0*v**2)*(0*v**2 + 0*v**2 - 2*v**3) - 17*v**5 + 9*v**5 - 21*v**5 - v**5 + 2*v**3 - 2*v**3.
-26*v**5
Expand (0*j**3 - 5*j**3 + 3*j**3)*(-2*j - 3*j**2 + 2*j) + 67 - 67 - 7*j**5 + 2*j - j**5 + 0*j**5 + 3*j**5.
j**5 + 2*j
Expand (71*q**4 - 127*q**4 + 59*q**4 + 2 + 41*q**2)*(0 + 1 + 0).
3*q**4 + 41*q**2 + 2
Expand (3 - 6 + 1)*(-2*d**2 - 2*d + 2*d) - d**2 + 0*d**2 + 3*d**2 + (-1 + 2*d**2 + 1)*(-1 + 2 + 0) + 0*d**2 - d**2 + 3*d**2.
10*d**2
Expand (-91*y**2 - 162 + 162)*(-3*y**2 + 3*y**2 - 2*y**2) + (-2 - 2*y**4 + 2)*(-3 + 1 + 0).
186*y**4
Expand 121*m**4 + 224*m - 224*m - 7*m**4 + 0*m**2 + 0*m**2 + (0 + 0 - 2*m**3)*(1 - m - 1).
116*m**4
Expand (-q - q + 0*q + (2*q - q - 2*q)*(-2 - 1 + 15))*(-4 + 3 + 0 - 4 + 3 + 3 + 5 + 1 - 5 - 2 + 4 - 4 + 0 - 3 + 5 + (-4 + 2 + 1)*(2 - 3 - 1) + 5 - 3 + 0).
-84*q
Expand (v + 4*v - 3*v)*(0 + 1 - 6)*(1 - 2 + 0 - 2 + 1 + 3 - 4 - 1 + 2 + (-1 + 2 + 0)*(0 - 1 - 1) + 2 - 3 + 0).
50*v
Expand (896*m + 159*m - 1 + 177*m)*(0 - 1 + 3).
2464*m - 2
Expand -1 - n**4 + 1 + (12 - 12 + 5*n)*(91 - 91 - 19*n**3).
-96*n**4
Expand 2*a**4 - 2*a**4 - 2*a**4 + (-2*a**2 + a**2 + 0*a**2)*(-3*a**2 - 2*a**2 + 3*a**2) + (-227 - 270 + 101)*(2*a**4 + 0*a**2 + 0*a**2).
-792*a**4
Expand (-9*l + 6*l**2 + 9*l)*(l + 3*l + 3*l)*(2*l - 4*l + 4*l).
84*l**4
Expand (2 + 1 - 2)*(27*u - 91*u**2 - 55*u + 27*u - 2*u**2 + 3*u**2 + 0*u**2 + (1 - 3 + 0)*(3*u - 3*u + 2*u**2) - u**2 - u**2 + 3*u**2 + 0*u**2 - u**2 + 2*u**2).
-92*u**2 - u
Expand -2*c**4 - 3*c**4 + 14*c**2 - 15*c**2 + (16*c - 11 + 11)*(-2*c**3 + 0*c**3 + 4*c**3).
27*c**4 - c**2
Expand (-1 + 0 - 2)*(5 - 3 - 1)*(-7936 + 7936 + 128*o)*(1 - 2 + 2).
-384*o
Expand (0 - 2 + 3)*(-78 - 146*d + 78)*(-d**3 + 3*d**3 + d**3).
-438*d**4
Expand (2*u**2 + 4*u - 4*u)*(6*u - 4*u + 18 - 17 - 12*u**2).
-24*u**4 + 4*u**3 + 2*u**2
Expand (u + 0*u + u)*(-3*u - 2*u**4 + 3*u) + (-2*u + 2*u**2 + 2*u)*(3*u + 3*u - 4*u)*(u**2 + 0 + 0) - 5*u**5 - u**5 + 5*u**5.
-u**5
Expand (8*i + 4*i + 24*i)*(2 - 4 + 0).
-72*i
Expand 3*y**3 - y**3 + y**3 + 4*y**3 - y**3 - 4*y**3 + (-5*y + 3*y - 4*y)*(2*y**2 - 6 + 6).
-10*y**3
Expand (0*w**3 - w**3 + 4*w**3)*(-5 - 3 + 3)*(-76 + 76 + 8*w).
-120*w**4
Expand (18*u + 2*u - 11*u)*(0 + 2 - 3) + 4*u - u - 4*u - 1 - u + 1 + (-u - 4*u + 4*u)*(-1 - 3 + 2) - 2 + 2*u + 2.
-7*u
Expand 0*b + 0*b - 2*b + (1 - 112*b - 116*b + 241*b)*(1 - 7 + 2).
-54*b - 4
Expand (3*q - 3*q + q**2 + (26*q - 6*q + 5*q)*(-2*q + 5*q + 3 - 2*q))*(1 + 2 - 5).
-52*q**2 - 150*q
Expand (-833*w + 684*w - 846*w)*(-3 + 3 - 2*w**4).
1990*w**5
Expand -32*n**3 - 448*n**2 + 448*n**2 + 2*n**2 + n**2 - n**2 + n**3 - n**3 - 2*n**2 + 2*n**2 + (-2*n**2 + 0 + 0)*(3*n + 3*n - 5*n) + 3*n**3 + 7*n**3 - 5*n**3.
-29*n**3 + 2*n**2
Expand -v + 5 - 5 + 2 + 2*v - 2 + (0 + 4 - 2)*(-1 + 1 + v) + 2*v + 3*v - 6*v + 7*v + 2*v - 3*v + (-2 + 3 - 5)*(1 - v + 6 - 5).
12*v - 8
Expand ((4*y - 4*y + y)*(-2 + 2 + 2) - y - 2*y + 4*y + 1 - 1 - y + 3*y - 7*y + 3*y - 2*y - 7*y - 10*y + (2 - 2 + 1)*(2 + y - 2))*(-y**3 - 3*y**3 + 3*y**3).
17*y**4
Expand (-63*f - 30*f + 4*f)*(0 + 0 + 1) + (1 - 3 + 0)*(-2*f + 3 - 3) - 6*f + 3*f + 4*f.
-84*f
Expand 5*j**2 - 4*j**2 + j**2 + (-14*j - 4*j - 2*j)*(-3*j + 0*j + 2*j).
22*j**2
Expand 27*s + 36*s - 6*s + (0*s - 5*s + 3*s)*(2 - 2 - 2).
61*s
Expand ((0*q**2 + 4*q**2 - 3*q**2)*(0*q + 0*q - q**2) + 4*q**4 - 3*q**4 + q**4 + q**4 - 5*q**4 + 2*q**4 + 2186 + 5*q - 2186 + 11*q**4)*(-1 - 2*q + 1).
-20*q**5 - 10*q**2
Expand -4*a**2 + 6*a**2 - a**2 - 2*a**2 + 0*a**2 + 4*a**2 - a + a + a**2 + (-3*a**2 + 4*a**2 + 0*a**2)*(-4 + 4 + 3) + 85*a**2 + 57*a**2 + 110*a**2.
259*a**2
Expand (-3 - 14 - 2)*(-4*g + 3*g + 3*g) + 0 + 2*g + 0 - 3*g + 2*g + 4*g.
-33*g
Expand 0*m + m**2 + 0*m + (-20*m - 11*m + 21*m)*(0*m + 3*m - 4*m)*(-5 - 4 + 2).
-69*m**2
Expand (m + 4*m + 24*m)*(-m**2 + m**2 + 2*m**3) - 5*m + 5*m - m**4 + 3 - 3 - 2*m**4 + 4*m**4 - 2*m**4 - 3*m**4 + (-4*m + 5*m - 2*m)*(0*m**3 + 0*m**3 - 2*m**3).
56*m**4
Expand (-2*g - 4 + 4)*(-3668*g**2 - 29*g**3 + 3668*g**2 + 149*g**3).
-240*g**4
Expand -70 + 30 + z - 8 + (2 + 0 - 3)*(3*z + 2*z - 3*z).
-z - 48
Expand 5*m**4 - 7*m + 7*m + (-4 + 4 + 2)*(6*m - 17*m - 7*m)*(3*m + m**3 - 3*m).
-31*m**4
Expand (110*i + 1 + 9 - 12)*(2 + 0 + 0).
220*i - 4
Expand 2*c + 3*c**2 - 2*c - c**2 + 0*c**2 + 5*c**2 + (-2*c + 5*c - 5*c)*(-1 + 1 - c).
9*c**2
Expand (-284 + 120 - 155)*(3*z + 0*z - 2*z).
-319*z
Expand 67*o + 8*o + 17*o + (-2*o + 3*o - 2*o)*(3 - 2 + 1) - 4*o + o + 0*o + (-2 + 4 - 1)*(-o - 4*o + 3*o).
85*o
Expand (1 + z - 2 + 0*z)*(-8 - 2 - 13) - 2*z - 4 + 4 + (2 + 3 - 6)*(z + 4*z - 4*z) + 2*z + 2*z - 2*z + z - z + 2*z.
-22*z + 23
Expand (3*a + 3*a - 5*a)*(6*a + 0*a - a)*(-2*a + 8*a + 2*a).
40*a**3
Expand ((p + p + 0*p)*(-2*p + 1 - 1) - 3*p**2 + 11*p**2 + 39*p**2)*(6 - 1 + 0).
215*p**2
Expand -2*v - v + v + (3*v + 0 + 0)*(-2 + 2 - 1) - 4*v + 5*v + v + (2 + 2 - 2)*(1 + 3 - 2)*(-3 + 3 + v).
v
Expand (4 - 2*a - 4)*(a + 8*a - 2*a)*(3*a - 3*a - 2*a)*(-4 - 1 + 4).
-28*a**3
Expand (-2 + 0 - 2)*(-1 + 1 + 1)*(-31 - 3*d**2 - 498*d**4 - 20 + 497*d**4).
4*d**4 + 12*d**2 + 204
Expand (z**4 - z**4 - 2 - 2*z**4)*(1 + 1 - 3).
2*z**4 + 2
Expand (0 - 1 + 8)*(-501*g**4 - 233*g**4 + 494*g**4).
-1680*g**4
Expand 17*p + 1 - 1 - 2 + 2 - 2*p - p + 4 - 4 + (1 - 3 + 3)*(4*p - 4*p - p) - 1 + 1 + p.
14*p
Expand (k**2 + 2*k - 2*k)*(1 - 4 + 1)*(0*k - 2*k + 0*k) + 13*k**3 + 14*k**3 + 27 - 25*k**3.
6*k**3 + 27
Expand (-3 + 4 - 5)*(9*s + 30*s - 3*s)*(-2 + 2 + 5).
-720*s
Expand ((2 - 4 + 0)*(-3*q + 2*q - q) + q + 2 - 2)*(6 + 0 + 6) - 4*q + q + 0*q + (0 - 4 + 2)*(0*q + 0*q - 2*q).
61*q
Expand (2 - 3 + 2)*(3*q**3 + 2680*q + 585 - 2680*q - 178).
3*q**3 + 407
Expand -h**3 + 532709*h + h**5 + 0*h**3 - 3*h**4 - 532675*h + 3*h**5 - 5*h**5 + 0*h**5 + (-2 - 2*h**3 + 2)*(-2*h**2 + h**2 + 2*h**2) - 2*h**5 + h - h.
-5*h**5 - 3*h**4 - h**3 + 34*h
Expand -19*j - 9*j + 8*j - 2*j + 6*j + 0*j + (-4*j + 2*j + j)*(0 + 2 - 4) - j + 2*j + 0*j.
-13*j
Expand (3 - 2 + 1)*((9*n**2 - n**2 - 2*n**2)*(0*n + 0*n - 2*n**2) - 3*n**4 + n**4 + 0*n**4 + (-24*n**3 + 105*n - 105*n)*(-4*n + 0*n + 3*n)).
20*n**4
Expand (55*p - 116*p + 47*p + 3)*(3 - 1 - 3).
14*p - 3
Expand (3*j**4 + 3*j**4 - 4*j**4 + (0*j + 0*j - 2*j**2)*(1 - j**2 - 1) + 159*j**3 + j**4 - 159*j**3 - 15*j)*(-3 + 0 + 1).
-10*j**4 + 30*j
Expand (-2*d + 23*d - 8*d)*(-3 - 4 + 3) + d - 6*d + 3*d.
-54*d
Expand (-218*v - 177*v + 54*v)*(-2*v + 2*v - 2*v).
682*v**2
Expand (-4*r + 7*r + 0*r)*(0 - 4 + 2)*(-11*r + 0*r + 0*r).
66*r**2
Expand (-2*h + 4*h + 0*h)*(0 + 2*h + 0) + 91*h**2 - 213*h**2 + 94*h**2.
-2
|
{
"pile_set_name": "DM Mathematics"
}
|
e
Is 3431839 composite?
True
Is 814790793 prime?
False
Is 85549 composite?
False
Is 335729797 a composite number?
True
Is 1579051 a composite number?
False
Is 26167553 a prime number?
False
Is 73879241 a prime number?
True
Is 23938685 prime?
False
Is 1269721 a composite number?
True
Is 565919479 prime?
True
Is 417461 composite?
True
Is 3457217 a prime number?
True
Is 7128077 prime?
False
Is 2142689 composite?
True
Is 2491633 a prime number?
False
Is 61635517 composite?
False
Is 399881773 a composite number?
True
Is 67511383 composite?
False
Is 6247727 a composite number?
False
Is 37287421 a prime number?
True
Is 3726179 a composite number?
True
Is 132351871 a prime number?
True
Is 145027991 composite?
False
Is 6418349 a prime number?
False
Is 3702833 prime?
False
Is 380647 a prime number?
False
Is 1059479 composite?
False
Is 651097307 prime?
False
Is 1246901 composite?
True
Is 1146689 prime?
False
Is 7042733 composite?
True
Is 118514945 a composite number?
True
Is 33210371 a composite number?
False
Is 701954189 prime?
True
Is 62044789 a prime number?
False
Is 85797347 prime?
True
Is 2356261 composite?
True
Is 7476133 a composite number?
True
Is 782371 composite?
False
Is 775225849 a composite number?
True
Is 189801763 a composite number?
False
Is 405269 a composite number?
False
Is 7253399 a prime number?
True
Is 11114843 prime?
True
Is 18548593 a prime number?
False
Is 2655851 composite?
True
Is 13943539 prime?
False
Is 110408003 a composite number?
False
Is 77877479 a prime number?
True
Is 5848259 a prime number?
True
Is 50513789 prime?
False
Is 65878727 composite?
False
Is 400669 a prime number?
False
Is 265957 a prime number?
True
Is 447319259 a composite number?
False
Is 10098041 composite?
True
Is 16192193 a composite number?
False
Is 146720517 a composite number?
True
Is 78239803 a prime number?
True
Is 300719 composite?
False
Is 2382977 a prime number?
True
Is 2740729 a prime number?
False
Is 42020113 a prime number?
False
Is 393330269 composite?
False
Is 958714 a composite number?
True
Is 17693 composite?
True
Is 146765041 composite?
True
Is 229138431 prime?
False
Is 37740371 a composite number?
False
Is 187800289 composite?
True
Is 30201709 prime?
True
Is 793105 prime?
False
Is 258075393 composite?
True
Is 45777529 a composite number?
True
Is 79687 a prime number?
True
Is 166280479 a composite number?
True
Is 15439393 composite?
True
Is 3462181 a composite number?
False
Is 141732287 a prime number?
False
Is 108755981 composite?
True
Is 545023 composite?
False
Is 17608407 a composite number?
True
Is 38974631 a composite number?
False
Is 20301181 prime?
True
Is 516535 composite?
True
Is 130975963 a prime number?
True
Is 1777523729 a prime number?
True
Is 766901 a prime number?
True
Is 587921309 prime?
True
Is 57652573 prime?
False
Is 259543387 prime?
False
Is 5083213 composite?
False
Is 10041397 a prime number?
False
Is 57371 composite?
True
Is 332725973 prime?
True
Is 55278589 composite?
False
Is 4223693 a prime number?
False
Is 2101881 a prime number?
False
Is 164153 a composite number?
True
Is 18834346 a composite number?
True
Is 19419397 a prime number?
False
Is 47564043 composite?
True
Is 15460003 prime?
False
Is 218182513 a composite number?
False
Is 5801863 a composite number?
False
Is 1799749 a prime number?
False
Is 239962117 a prime number?
True
Is 512501039 composite?
False
Is 555347 prime?
False
Is 5329240439 composite?
False
Is 427727 a composite number?
False
Is 81179327 prime?
False
Is 15709027 prime?
False
Is 142042493 composite?
True
Is 7937961 a composite number?
True
Is 97269401 composite?
True
Is 235991993 prime?
True
Is 24997127 prime?
True
Is 95603789 a prime number?
True
Is 308696077 a composite number?
True
Is 880483 composite?
False
Is 18058673 composite?
False
Is 119188331 prime?
True
Is 1776989 composite?
False
Is 22798835 a composite number?
True
Is 2408099 a composite number?
True
Is 25930159 a composite number?
False
Is 7333687 a prime number?
True
Is 569166711 composite?
True
Is 4751051 prime?
True
Is 51760451 a composite number?
False
Is 234127937 a prime number?
False
Is 1008583423 a composite number?
False
Is 30961667 a prime number?
False
Is 7283173 a prime number?
True
Is 580039535 a composite number?
True
Is 237346873 composite?
True
Is 3492913 composite?
True
Is 1763381 prime?
True
Is 11308007 a composite number?
False
Is 54949883 prime?
True
Is 32219203 prime?
False
Is 119179967 composite?
False
Is 81241177 prime?
True
Is 1731551 composite?
False
Is 7966411 composite?
True
Is 211807 a prime number?
False
Is 215884103 composite?
False
Is 1388381 prime?
True
Is 36373469 a composite number?
True
Is 7622339 prime?
True
Is 163518319 composite?
True
Is 461635471 composite?
True
Is 59487191 a prime number?
True
Is 5227 composite?
False
Is 8060147 prime?
True
Is 1312147 a composite number?
True
Is 13333217 composite?
False
Is 402771365 composite?
True
Is 8187173 composite?
True
Is 720468071 a composite number?
True
Is 3808241 composite?
False
Is 7894743 composite?
True
Is 1841647 composite?
True
Is 2550874 a composite number?
True
Is 972562 a prime number?
False
Is 1374383 a composite number?
True
Is 9394139 a composite number?
False
Is 21221621 a prime number?
True
Is 242081597 composite?
True
Is 18841821 composite?
True
Is 13096991 a prime number?
True
Is 1272913 prime?
True
Is 63408747 prime?
False
Is 84146533 a prime number?
False
Is 4313531 a composite number?
False
Is 120043841 prime?
True
Is 35325331 a prime number?
True
Is 2439137 a prime number?
True
Is 723761 composite?
False
Is 917729 composite?
False
Is 39408911 a composite number?
False
Is 54881621 prime?
True
Is 55149781 composite?
True
Is 1622941 composite?
True
Is 21172591 a composite number?
True
Is 7419097 a composite number?
True
Is 633153971 composite?
False
Is 9360577 a composite number?
False
Is 23052431 prime?
False
Is 125454695 a composite number?
True
Is 182941243 prime?
True
Is 16225019 a prime number?
False
Is 41414953 prime?
True
Is 53861753 a prime number?
False
Is 7561207 a composite number?
False
Is 43013779 a composite number?
True
Is 272710517 a composite number?
True
Is 1545571 a prime number?
False
Is 231572567 composite?
True
Is 115948867 a prime number?
True
Is 132230909 a prime number?
True
Is 140536633 a composite number?
True
Is 339049 a prime number?
True
Is 4042711 prime?
False
Is 137881 composite?
True
Is 53122591 a composite number?
True
Is 31547533 a prime number?
False
Is 11783833 a prime number?
True
Is 5471567 prime?
True
Is 8030053 prime?
True
Is 122663797 a prime number?
True
Is 6995899 a prime number?
True
Is 38042537 a composite number?
True
Is 573344723 a composite number?
True
Is 17974643 composite?
True
Is 294031202 a prime number?
False
Is 380142883 a prime number?
False
Is 22584539 a composite number?
True
Is 33233678 prime?
False
Is 1363357 a prime number?
False
Is 1973963 a prime number?
False
Is 123480023 a composite number?
False
Is 488779 a prime number?
True
Is 89166787 composite?
False
Is 25045379 prime?
True
Is 1508141 composite?
False
Is 19910141 a prime number?
True
Is 287163703 prime?
True
Is 1715033 prime?
True
Is 13214413 a prime number?
True
Is 63632693 composite?
False
Is 203697511 prime?
True
Is 12262351 composite?
False
Is 566413 a prime number?
True
Is 11084207 prime?
True
Is 51589654 a composite number?
True
Is 160074163 a composite number?
False
Is 256742285 a prime number?
False
Is 47198057 prime?
True
Is 383979007 a composite number?
True
Is 633133 a prime number?
True
Is 30099313 prime?
False
Is 2720981 a prime number?
True
Is 28169 a prime number?
False
Is 35410211 a composite number?
False
Is 5820991 a prime number?
False
Is 20363461 a composite number?
False
Is 20284057 a composite number?
True
Is 20706431 composite?
False
Is 764551 a composite number?
False
Is 6787393 prime?
True
Is 523949 composite?
False
Is 2578501 composite?
True
Is 5795871 prime?
False
Is 8241257 prime?
False
Is 28995869 composite?
True
Is 4095797 a composite number?
False
Is 306233363 prime?
True
Is 5315257 prime?
False
Is 34633513 composite?
False
Is 1158697 a prime number?
False
Is 15290567 prime?
False
Is 743905 a prime number?
False
Is 249627277 prime?
True
Is 17239263 prime?
False
Is 145349
|
{
"pile_set_name": "DM Mathematics"
}
|
hout replacement from qqqqq. Give prob of sequence qq.
1
Three letters picked without replacement from bvbvbbbb. Give prob of sequence bvv.
1/28
Four letters picked without replacement from {k: 1, t: 1, l: 5, e: 4, g: 3}. Give prob of sequence legk.
5/2002
Calculate prob of sequence zgz when three letters picked without replacement from {m: 1, z: 7, g: 10}.
35/408
Calculate prob of sequence lhk when three letters picked without replacement from kllkhlhllllh.
7/220
Four letters picked without replacement from {h: 2, a: 1, z: 1}. What is prob of sequence hzha?
1/12
Three letters picked without replacement from {f: 3, d: 1, i: 4}. Give prob of sequence fdi.
1/28
Calculate prob of sequence txx when three letters picked without replacement from ttxtxttx.
5/56
Three letters picked without replacement from {y: 4, h: 3}. What is prob of sequence hyh?
4/35
Calculate prob of sequence qi when two letters picked without replacement from {i: 12, q: 3}.
6/35
Calculate prob of sequence ocq when three letters picked without replacement from {g: 1, n: 1, c: 2, o: 1, q: 2, v: 1}.
1/84
Two letters picked without replacement from fxzuuzzxgxzz. What is prob of sequence ux?
1/22
What is prob of sequence kkr when three letters picked without replacement from kkmkkrmkkikm?
7/220
Four letters picked without replacement from {c: 3, y: 2, h: 2, a: 2, l: 4}. Give prob of sequence cyaa.
1/1430
Two letters picked without replacement from hjfaa. What is prob of sequence fh?
1/20
Two letters picked without replacement from {n: 13, q: 5, b: 2}. Give prob of sequence qn.
13/76
Two letters picked without replacement from udddedwrueddduddud. Give prob of sequence dd.
5/17
Calculate prob of sequence yfmy when four letters picked without replacement from {f: 2, y: 3, m: 3}.
3/140
Calculate prob of sequence wu when two letters picked without replacement from ujcjuguuujjcgujgguwj.
7/380
What is prob of sequence uu when two letters picked without replacement from {m: 2, e: 12, u: 3}?
3/136
Two letters picked without replacement from eggeeegmm. Give prob of sequence ee.
1/6
Two letters picked without replacement from {o: 2, w: 4, a: 2, u: 1}. What is prob of sequence aw?
1/9
Two letters picked without replacement from qbtqtqqttqtqqpbtt. What is prob of sequence bp?
1/136
Two letters picked without replacement from {j: 2, n: 9, o: 3, l: 5}. Give prob of sequence jn.
1/19
Three letters picked without replacement from hhwhzwhhv. What is prob of sequence vzh?
5/504
Calculate prob of sequence sv when two letters picked without replacement from sryyyrvyryvrryyros.
2/153
Calculate prob of sequence zz when two letters picked without replacement from heehzzhe.
1/28
What is prob of sequence tff when three letters picked without replacement from tftttttffttttttt?
13/560
What is prob of sequence tq when two letters picked without replacement from qvvtvvvqttqvtqttt?
7/68
Calculate prob of sequence bgg when three letters picked without replacement from bgdgbgggbgbgbbgggd.
15/136
Three letters picked without replacement from {v: 5, p: 3, j: 5}. What is prob of sequence vpv?
5/143
What is prob of sequence nnnn when four letters picked without replacement from {n: 6}?
1
Calculate prob of sequence ss when two letters picked without replacement from {s: 4, x: 5, q: 3, m: 2, v: 5}.
2/57
Two letters picked without replacement from amnnnan. What is prob of sequence am?
1/21
What is prob of sequence jd when two letters picked without replacement from {p: 1, w: 1, c: 1, j: 2, n: 1, d: 1}?
1/21
What is prob of sequence hff when three letters picked without replacement from ffffffhfffffhffffh?
35/272
Calculate prob of sequence wl when two letters picked without replacement from {x: 1, u: 2, l: 1, e: 2, v: 4, w: 5}.
1/42
What is prob of sequence xd when two letters picked without replacement from qixxdi?
1/15
Calculate prob of sequence vvi when three letters picked without replacement from {u: 2, i: 2, v: 4, m: 3}.
4/165
Calculate prob of sequence aff when three letters picked without replacement from faf.
1/3
Calculate prob of sequence biu when three letters picked without replacement from bnaubbibuuuiippnuu.
1/68
Four letters picked without replacement from {h: 2, a: 14, u: 1}. Give prob of sequence aahh.
13/2040
Three letters picked without replacement from gglagklogglwawaogal. What is prob of sequence wlo?
8/2907
Calculate prob of sequence qx when two letters picked without replacement from {p: 7, q: 2, x: 8, e: 1}.
8/153
Two letters picked without replacement from {b: 1, z: 1, w: 4, j: 1, g: 1}. What is prob of sequence gw?
1/14
Three letters picked without replacement from {x: 3, d: 8}. What is prob of sequence dxx?
8/165
Two letters picked without replacement from iqibbbvubvdi. What is prob of sequence vb?
2/33
Three letters picked without replacement from ycakckkzkckkkcukkc. What is prob of sequence uya?
1/4896
Calculate prob of sequence aq when two letters picked without replacement from {a: 3, o: 4, q: 4, c: 3}.
6/91
Three letters picked without replacement from {p: 3, s: 2, u: 3, n: 2, g: 1, v: 1}. What is prob of sequence nng?
1/660
Two letters picked without replacement from jjjijllijljll. Give prob of sequence ll.
5/39
Two letters picked without replacement from {b: 1, y: 4, v: 2, o: 1, x: 3}. Give prob of sequence xb.
3/110
Calculate prob of sequence qkk when three letters picked without replacement from {d: 2, k: 2, z: 1, q: 1, w: 1, h: 1}.
1/168
Two letters picked without replacement from kowowoowwowwk. What is prob of sequence oo?
5/39
Two letters picked without replacement from llelleeeeeelee. What is prob of sequence ll?
10/91
Four letters picked without replacement from {h: 1, i: 6, v: 4, q: 1, f: 1}. Give prob of sequence ivqf.
1/715
Three letters picked without replacement from {o: 3, c: 9}. What is prob of sequence ooo?
1/220
Four letters picked without replacement from jjjivvdjjv. What is prob of sequence ijdv?
1/336
What is prob of sequence pwff when four letters picked without replacement from pfgljfw?
1/420
What is prob of sequence lto when three letters picked without replacement from {t: 2, z: 1, l: 1, e: 2, b: 1, o: 2}?
1/126
Calculate prob of sequence tzo when three letters picked without replacement from lobbtzlblzl.
1/495
Three letters picked without replacement from rrrrrrrrrrrrrdrrrr. Give prob of sequence rdr.
1/18
Calculate prob of sequence ez when two letters picked without replacement from {x: 2, z: 1, e: 3, o: 1, c: 1, v: 3}.
3/110
Calculate prob of sequence eey when three letters picked without replacement from {e: 3, y: 2}.
1/5
What is prob of sequence hcph when four letters picked without replacement from ppchppppuppscpphuhp?
11/7752
Two letters picked without replacement from {e: 6, j: 4, d: 3, p: 2, a: 3}. Give prob of sequence pp.
1/153
What is prob of sequence zz when two letters picked without replacement from rjjzjjz?
1/21
Calculate prob of sequence qh when two letters picked without replacement from {z: 1, q: 1, i: 6, h: 1}.
1/72
What is prob of sequence uccl when four letters picked without replacement from uuuljjculjc?
1/495
Three letters picked without replacement from lvllllllulllullllull. Give prob of sequence llv.
2/57
What is prob of sequence nnna when four letters picked without replacement from {a: 2, n: 8}?
2/15
What is prob of sequence riio when four letters picked without replacement from rioio?
1/30
Three letters picked without replacement from spxccpcxpp. Give prob of sequence psx.
1/90
Two letters picked without replacement from zudznnhozznnzhz. Give prob of sequence nu.
2/105
What is prob of sequence zzp when three letters picked without replacement from {z: 7, p: 2, l: 9}?
7/408
Three letters picked without replacement from {w: 3, b: 1, f: 2, d: 3, t: 6}. Give prob of sequence tft.
2/91
Four letters picked without replacement from {r: 3, q: 13}. Give prob of sequence rqrr.
1/560
Three letters picked without replacement from eeeeepepeeeeeeppepe. What is prob of sequence epp?
140/2907
Four letters picked without replacement from {o: 1, v: 1, s: 3, n: 1, r: 1}. What is prob of sequence ssro?
1/140
Three letters picked without replacement from {w: 7, v: 4, d: 6, z: 1, k: 2}. Give prob of sequence ddw.
7/228
Calculate prob of sequence gr when t
|
{
"pile_set_name": "DM Mathematics"
}
|
42. Let w = c - -10. What is the common denominator of (-8)/20 - w/(-2) and 45/16?
80
Let x = -11 + 20. Let u = 62 + -43. Suppose 5*d + 3*i - 27 = 0, -2*d = -5*i + u - 5. What is the least common multiple of d and x?
9
Find the common denominator of 3/(-16)*(-462)/(-105) and -115/28.
280
Let n = -2663/18 - -152. What is the common denominator of (-58)/36 - (-13 - -9) and n?
18
Let b = -1 - -16. Suppose y - 2*q - 7 = -2*y, 0 = 3*y + 2*q - 11. What is the least common multiple of y and 7 + (-35)/b + (-4)/6?
12
Suppose -n + 0 = s + 3, 0 = -4*n - s - 21. Let i be 4/n - 45256/(-67776). Let g = i + 175061/25416. Calculate the common denominator of g and 57/7.
63
Suppose 2*x = -2*t - 8, 0 = 2*t + t + 4*x + 16. Suppose t = -5*y + 10 - 5. Calculate the smallest common multiple of 10 and (-212)/(-12) + y/3.
90
Let z = -3 + 2. Let s(q) = 603*q + 3018. What is the smallest common multiple of 4 + 0/1 + z and s(-5)?
3
Let x = -1333/210 + 17/15. Find the common denominator of x and 12/8 - (-34)/(-16).
56
Suppose 0 = -0*a - 4*a + 56. Let n(k) = 1 - k - 19*k**2 + 14*k**2 + 23*k**2. What is the least common multiple of n(1) and a?
126
What is the lowest common multiple of 306 and (0 + 36/15)/(1/10)?
1224
Suppose 2*n - 3 = -3*p, 0*p + 16 = 4*n - 4*p. Let m(o) = -1 + 2 + n + 3*o - 1. What is the smallest common multiple of 14 and m(5)?
126
What is the common denominator of -5 and 91/52 - 6425/3420?
171
Suppose 7*a - 2*a = -5*j + 15, -2*a + 3 = -j. Suppose -a*z - 45 = -4*q - 3*z, -2*q - z + 25 = 0. Calculate the least common multiple of q and 16.
80
Suppose -9 = -2*j - w - 1, -4*w = 8. What is the lowest common multiple of 5 and j?
5
Suppose 2*x - 111 = 61. What is the least common multiple of x and (84/105)/(3/15)?
172
Suppose 10 + 15 = 5*z. Suppose 0 = -0*c - z*c + 10. Suppose r - w + 2 = 13, 30 = 3*r - c*w. What is the smallest common multiple of r and 4?
8
Let u be 6/(3 - 0 - 1). Suppose 8*g - 135 = u*g. Calculate the smallest common multiple of 21 and g.
189
Suppose -5*j - 3*w + 74 = w, 0 = 2*j - 3*w - 48. What is the common denominator of 50/7 and (-1)/5 - j/(-5)?
35
Let h(d) = -d**3 - 3*d**2 + d + 4. Let v be h(-3). Let c = 67 + -32. Let k = c - v. Calculate the common denominator of k and -17.
1
Let d = -356615/6 - -59016. Let r = d - -32893/78. What is the common denominator of r and 23/12?
156
Suppose -4*v = -4*y, y - 3*v + 3 = -1. Suppose -5*b + y*q = -54, -4*b + q + 58 = 16. What is the smallest common multiple of 2/(-8) - (-9)/4 and b?
10
Let k be (228/(-5))/(0 + (-327612)/10290). Let a = -3/1187 - k. Calculate the common denominator of -54/7 and a.
161
Let j = -14 + 98. What is the least common multiple of j and 3?
84
Find the common denominator of ((-2)/5*6)/(846/(-940)) and -8/69.
69
Let y = -12596 + 264433/21. What is the common denominator of 40/3 and y?
21
Let t be (192/(-5796))/((-2)/(-33)). Let g = -17665/966 + t. Let h = 28/9 - 103/36. Calculate the common denominator of h and g.
12
Let n = -156 - -294. Suppose 46 = 4*l + n. Let s = l - -32. What is the smallest common multiple of 6 and s?
18
Let x = -463784/39 - -11893. Find the common denominator of 20/221 and x.
663
Suppose -2*a = -6*a. Suppose -7*o + 9*o - 10 = a. Calculate the lowest common multiple of 1 and o.
5
Calculate the lowest common multiple of 72 and ((-495)/44)/((-1)/28).
2520
Let d = 110 - -54. Calculate the smallest common multiple of d and 2.
164
Find the common denominator of -32/35 and 14 - 18 - ((-482)/60 + 0).
210
Let x = -19 - -3. Let m = x + 17. Suppose -5*s - m + 16 = 0. Calculate the lowest common multiple of 9 and s.
9
Let c be (-69782)/140 - 2/4. Let p = c - -2487/5. Calculate the common denominator of p and 5/9.
315
Let m be 130/6 + -2 + 1/3. Let l(b) = -2*b + 58. Calculate the smallest common multiple of l(m) and 10.
90
Let d = -47 - -47. Let f = d - -3. Calculate the lowest common multiple of f and 13.
39
What is the common denominator of 62/245 and 374/5797 - 3562/27342?
2205
Suppose 78*y - 35*y = 21156. Calculate the lowest common multiple of 9 and y.
1476
Calculate the common denominator of 3/(-3) - (-1 + 98/(-380)) and 119/6.
570
Let l = -8763/770 - -114/77. What is the common denominator of l and 73/160?
160
Suppose 9267 = 2*l - 3*a, l + 2*a - 3670 = 960. Let c = l + -27895/6. Calculate the common denominator of c and (-3)/6 + (-107)/(-12).
12
What is the smallest common multiple of (57/38)/(3/12) and 30?
30
Let o = -51276524101/4167188270 - -173/245273. Let a = 7/1699 + o. Find the common denominator of a and 109/18.
90
Suppose 0 = 6*h - 4*h - 8. Suppose -23 = -h*r + 25. Calculate the smallest common multiple of 18 and r.
36
Let k(m) be the second derivative of m**4/4 - m**2/2 + 12*m. Let a be k(1). What is the common denominator of -109/6 and (25/(-20))/(a/6)?
12
Suppose 0 = 2*c - 6*c + 5*a - 10155, 0 = 4*c + 3*a + 10163. Let z be 342519/(-135) + 2/5. Let o = z - c. Find the common denominator of -31/2 and o.
18
Let a = -4 - -12. Suppose -v + a = 2. Suppose -2*b = f - 16, -4*f + 0*f = -2*b + 26. Calculate the smallest common multiple of b and v.
18
Find the common denominator of 69/2 and 6 + (-85)/(-1054)*(-4308)/58.
1798
Suppose -4*g = -3*u - 231, -2*u + 98 = g + g. What is the smallest common multiple of g and 12?
108
What is the smallest common multiple of 54 and (-2)/(-40)*8*5/2?
54
Find the common denominator of 9163/(-426020) + (-1)/10 and -85/4.
716
Suppose i - 4*b = -13 + 35, 0 = 5*i + 2*b. Calculate the least common multiple of i - 7/(21/(-48)) and 74.
666
Let s(a) = a**2 - 19*a + 42. Calculate the smallest common multiple of 6 and s(17).
24
Suppose 2*f + 34 = 2*p, -2*p - 2*f + 34 = -5*f. Suppose 5*a - 67 = -p. Calculate the smallest common multiple of 1*(-2 + 2 + 2) and a.
10
Suppose -8 = l - 4*h, 2*l + h = l + 7. Find the common denominator of 23/144 and (-45)/(-100)*-11 + l.
720
Let p be (-26 - -5)*(-180)/21. Calculate the common denominator of (-4)/18 + 805/p and 2 - 5 - 50/(-9).
36
Suppose 0 = -n + 6 + 4. Calculate the common denominator of n/16*(-4 + (-46)/10) and 25/3.
24
Let z(l) = -3*l - 9. Let p be z(-5). Suppose 5*q - 5*k - 20 = 0, -3*k + 16 = -2*q + p*q. What is the least common multiple of q and 86?
172
Suppose 18*b = -825 + 4389. What is the smallest common multiple of b and 2?
198
Let l = -2534 + 45691/18. Let g = -1461457/30 - -48720. What is the common denominator of l and g?
90
Let m(n) = -n**3 + 2*n**2 + 39*n - 10. What is the lowest common multiple of m(7) and 18?
18
Suppose 2*k - 5*d - 2 = 0, k - 3*k + 6 = -3*d. Suppose 0 = k*u - 56 + 2. What is the lowest common multiple of (-2 - -41)/((-2)/(-2)) and u?
117
Let i(x) = -5*x + 7. Calculate the common denominator of i(-6) and 9/20.
20
Let d be (-3 + -2 + 3)*-7. Let q = 9 - d. What is the lowest common multiple of (-32)/q + (-14)/35 and 11?
66
Let n = -1070/69 + -88/23. Let m be ((-16)/12)/((-2)/6). Suppose r = m*r + 102. What is the common denominator of r and n?
3
Calculate the common denominator of 175/15*(-4)/(-21) and ((-60)/25 + 2)*(-103)/4.
90
Suppose -12*t - 113 + 3463 = 13*t. Let a(g) = -g**3 - 2*g**2 + 6*g + 1. What is the smallest common multiple of t and a(-4)?
1206
Let s(f) = -f**2 + 9*f - 6. Let v be (-30)/105 + 58/7. Let t be s(v). Let b = t - -8. Calculate the least common multiple of b and 8.
40
Suppose -21*k + 137 + 5344 = 0. What is the least common multiple of 72 and k?
2088
Let s = 3/1528 - -13719/16808. What is the common denominator of 46/1185 and s?
13035
Let c = 44232993 - 2653854467/60. Let p = -6259/3 + c. What is the common denominator of p and 53/7?
420
What is the common denominator of (1190/(-1000))/(10*6/15) and 13/240?
1200
Let z be (-204 - 2)*(1 - 0). Calculate the common denominator of (-2)/((-18)/(-30) - z/(-260)) and 77/18.
90
Let y be (303/(-2325))/((-24)/285). Let o = y - -3/1240. Find the common denominator of ((-1)/(-16))/(9/(-444)) and o.
60
Let h = 4569/4 - 3458/3. Let x = 183763/26 + -7070. Calculate the common denominator of x and h.
156
Suppose -3*y - 3*k + 75 = 0, -4*k = k - 25. Let i = 21/131 + 6927/917. Find the common denominator of (44/10)/((-12)/y) and i.
21
Let z = 822 + -782. Calculate the smallest common multiple of z and 24.
120
Let g = 2058/5 - 12983/30. Let s = 201/5 + -4373/90. What is the common denominator of g a
|
{
"pile_set_name": "DM Mathematics"
}
|
92 = -22*v for v.
7
Solve -678 + 684 = 3*m for m.
2
Solve -27*p = 73*p for p.
0
Solve -175 = -93*k + 68*k for k.
7
Solve -7 = -f - 12 for f.
-5
Solve 10*t - 6 = -36 for t.
-3
Solve 6*z - 20763 = -20727 for z.
6
Solve -71 + 53 = 3*h for h.
-6
Solve 7*u + 209 - 181 = 0 for u.
-4
Solve 8 = m + 9 for m.
-1
Solve d = -2 + 8 for d.
6
Solve 0 = -17*p + 9*p - 40 for p.
-5
Solve 110*n - 104*n = -6 for n.
-1
Solve -3*a + 2 = 17 for a.
-5
Solve 20*m - 8 = 12*m for m.
1
Solve 0 = -404*p + 400*p - 28 for p.
-7
Solve 2*s = 3*s + 1 for s.
-1
Solve -17*h - 25 = 8*h for h.
-1
Solve -2*y = -y + 5 for y.
-5
Solve -z + 50 = 54 for z.
-4
Solve -k + 3 - 7 = 0 for k.
-4
Solve -342*u + 84 = -354*u for u.
-7
Solve -4*b + 11*b = -28 for b.
-4
Solve 276*t = 280*t - 12 for t.
3
Solve 3*m = -m - 8 for m.
-2
Solve 47*t = 29*t for t.
0
Solve -6 = -12*p + 6*p for p.
1
Solve 7*p - 36*p + 145 = 0 for p.
5
Solve 0*w = -9*w - 36 for w.
-4
Solve 172*v - 188*v = -48 for v.
3
Solve -522*a + 24 = -530*a for a.
-3
Solve 0 = -43*o + 42*o + 3 for o.
3
Solve -30*f + 138 = 408 for f.
-9
Solve 2*f - 48 = -10*f for f.
4
Solve 0 = 5*l - 26 + 26 for l.
0
Solve 0 = 2*b + 6 for b.
-3
Solve 578*i - 3 = 581*i for i.
-1
Solve -16*t = 3*t for t.
0
Solve -1 = -s - 0*s for s.
1
Solve 3*m = 4*m for m.
0
Solve 0*o - 3*o + 6 = 0 for o.
2
Solve -40*g + 15*g = 100 for g.
-4
Solve 31*u + 3*u - 34 = 0 for u.
1
Solve -40 = 21*r - 11*r for r.
-4
Solve v + 12*v = -91 for v.
-7
Solve 4*k = 46*k - 126 for k.
3
Solve -11*x - 45 = -12 for x.
-3
Solve 0 = 7*q - 15 + 1 for q.
2
Solve 33*z + 118 = -80 for z.
-6
Solve 0 = -19*b + 6*b - 130 for b.
-10
Solve 70*o - 57*o + 26 = 0 for o.
-2
Solve -10 = -10*f + 15*f for f.
-2
Solve 7 = -2*v - 1 for v.
-4
Solve -29*f = 38*f for f.
0
Solve 11*m + 71 - 5 = 0 for m.
-6
Solve 0 = -9*t - 24 - 21 for t.
-5
Solve -8*b - 4 = -6*b for b.
-2
Solve -16*d + 15*d = 2 for d.
-2
Solve 12 = 17*a - 73 for a.
5
Solve -29*y = 4*y - 264 for y.
8
Solve 0 = 17*q - 6*q - 11 for q.
1
Solve -42 + 32 = -5*a for a.
2
Solve 0 = -2*y + 73 - 65 for y.
4
Solve 0 = -4*d - 6263 + 6295 for d.
8
Solve 392*r + 10 = 402*r for r.
1
Solve 8*t = -7 - 33 for t.
-5
Solve -58 = 45*q - 16*q for q.
-2
Solve -306 = -16*w - 274 for w.
2
Solve -22*f = 26 - 92 for f.
3
Solve -11 = 21*g - 74 for g.
3
Solve 0 = 118*i - 115*i + 12 for i.
-4
Solve 14*c = -85 + 141 for c.
4
Solve 0 = -114*t + 108*t for t.
0
Solve -9 = -8*t + 31 for t.
5
Solve -69 = -27*m + 39 for m.
4
Solve -7 = -10*c + 13 for c.
2
Solve 48*a - 50*a = -2 for a.
1
Solve 0 = -6*t + 4*t - 2 for t.
-1
Solve -7*o + 18 = -o for o.
3
Solve 2*l + 22 = 28 for l.
3
Solve 22 = -8*s - 26 for s.
-6
Solve -5*g = -80 + 105 for g.
-5
Solve -47 + 69 = 22*d for d.
1
Solve 19*f + 357 = 414 for f.
3
Solve 73*g = 67*g + 12 for g.
2
Solve 4*q - 6 = -22 for q.
-4
Solve -341 = -8*j - 373 for j.
-4
Solve -2*x = 2*x + 8 for x.
-2
Solve -20 = -19*y - 1 for y.
1
Solve -8 = -76*z + 68*z for z.
1
Solve -6*o = -5*o - 3 for o.
3
Solve -7*s = 16*s + 23 for s.
-1
Solve 4*n = -2*n - 24 for n.
-4
Solve -43*x = -23*x for x.
0
Solve -36 + 32 = j for j.
-4
Solve 6*a = -3*a + 18 for a.
2
Solve 180 + 222 = 67*r for r.
6
Solve 3*f - 2 + 8 = 0 for f.
-2
Solve 5*g = -6*g for g.
0
Solve 0 = -24*z - 9 - 15 for z.
-1
Solve 28*g - 19*g = 45 for g.
5
Solve 50*o - 32*o - 144 = 0 for o.
8
Solve 0 = -7*y + 8*y + y for y.
0
Solve -59*h + 40 = -78 for h.
2
Solve -4*v - 27 = 5*v for v.
-3
Solve 16 = -23*s + 15*s for s.
-2
Solve -1 = 4*s - 21 for s.
5
Solve 65 = -5*q + 50 for q.
-3
Solve 24 = 6*t + 6*t for t.
2
Solve -78 = 6*h - 60 for h.
-3
Solve -301 = 5*v - 336 for v.
7
Solve -15*m + 4*m + 22 = 0 for m.
2
Solve 44*f - 26*f + 126 = 0 for f.
-7
Solve -174 = 8*k - 150 for k.
-3
Solve -54*a = -55*a for a.
0
Solve -22*c = 25*c + 235 for c.
-5
Solve 3*q + 178 = 190 for q.
4
Solve -17*s - 31 = 3 for s.
-2
Solve 12 = -10*w + 7*w for w.
-4
Solve -18*x - 8*x - 52 = 0 for x.
-2
Solve -37*f = -82 - 140 for f.
6
Solve -49*v = -51*v - 2 for v.
-1
Solve -p + 81 - 80 = 0 for p.
1
Solve 0 = 27*q - 32*q + 10 for q.
2
Solve 14 = -2*t + 4 for t.
-5
Solve -30*i - 30 = -20*i for i.
-3
Solve -11 + 1 = -2*k for k.
5
Solve 0 = -17*l + 14*l - 12 for l.
-4
Solve 8*c + 16 = -8 for c.
-3
Solve 76 - 51 = -5*u for u.
-5
Solve 250 = -23*z - 2*z for z.
-10
Solve -24 + 6 = -6*n for n.
3
Solve 12*z - 5 = -5 for z.
0
Solve -123*d = -45*d - 702 for d.
9
Solve -168*t + 159*t = -9 for t.
1
Solve 10*s - 36 = 22*s for s.
-3
Solve -189*r = -194*r - 5 for r.
-1
Solve 5*m - 3 = 22 for m.
5
Solve 2*b - 41 + 35 = 0 for b.
3
Solve 0 = -a - 2*a - 2*a for a.
0
Solve -w - w + 2 = 0 for w.
1
Solve -11*p = 36 + 41 for p.
-7
Solve -30*p = -240 + 270 for p.
-1
Solve -7*l + 12*l - 20 = 0 for l.
4
Solve 0 = -11*m + 15*m - 12 for m.
3
Solve 15 = -3*w + 6*w for w.
5
Solve -16*b - 18 = -25*b for b.
2
Solve 9*i = -11 + 2 for i.
-1
Solve -18*f + 29*f + 11 = 0 for f.
-1
Solve 0 = -4*l + 59 - 23 for l.
9
Solve -13*p + 2074 = 2178 for p.
-8
Solve 14*i - 6*i = -8 for i.
-1
Solve 19 = 337*t - 356*t for t.
-1
Solve -184*b = -145*b - 39 for b.
1
Solve -355*t + 369*t + 112 = 0 for t.
-8
Solve -14*k + 36 - 8 = 0 for k.
2
Solve -22*b + 16 = 38 for b.
-1
Solve 10*w + 2965 - 2895 = 0 for w.
-7
Solve 13*k + 7 = -45 for k.
-4
Solve -2 = -4*u + 2 for u.
1
Solve -k - 3*k = -7*k for k.
0
Solve 12*h + 55 = -41 for h.
-8
Solve -4*d = 4 - 28 for d.
6
Solve 3*d - 44 = 14*d for d.
-4
Solve -2*w - 70 + 76 = 0 for w.
3
Solve -6*z = 42 - 18 for z.
-4
Solve 2*v = 8*v for v.
0
Solve -3 = -24*j + 69 for j.
3
Solve 8 = -3*f + 11 for f.
1
Solve -7*a + 4 = -6*a for a.
4
Solve -34*b = -35*b - 8 for b.
-8
Solve 10*f - 5*f = 0 for f.
0
Solve 66*d - 34*d = 96 for d.
3
Solve 3 = 22*t - 19*t for t.
1
Solve 5*f - 686 = -716 for f.
-6
Solve -33 + 9 = -4*p for p.
6
Solve -86 - 386 = -118*v for v.
4
Solve 1340 = 9*a + 1367 for a.
-3
Solve -16*g = -9*g - 28 for g.
4
Solve 144 = -842*o + 878*o for o.
4
Solve -2*r = r - 9 for r.
3
Solve 57*t - 30 = 47*t for t.
3
Solve 252 - 385 = -19*d for d.
7
Solve -60 - 54 = -38*m for m.
3
Solve 0 = -c - 13 + 11 for c.
-2
Solve -8*i + 9 = -5*i for i.
3
Solve -6*m = 952 - 904 for m.
-8
Solve 35*s = 20*s + 30 for s.
2
Solve -30 = 57*z - 72*z for z.
2
Solve -18*f = 50 - 86 for f.
2
Solve -66 + 30 = -9*r for r.
4
Solve -61*u + 62*u = -2 for u.
-2
Solve -s + 5*s - 20 = 0 for s.
5
Solve d - 533 + 537 = 0 for d.
-4
Solve 0 = v + 38 - 37 for v.
-1
Solve -45 + 66 = -7*w for w.
-3
Solve -210*q = -190*q - 40 for q.
2
Solve h - 4*h - 15 = 0 for h.
-5
Solve 32 = -5*h + 7 for h.
-5
Solve 0 = 4*a - 287 + 291 for a.
-1
Solve 8*a + 873 - 913 = 0 for a.
5
Solve 3 = 37*y - 40*y for y.
-1
Solve 12*n + 30 = 9*n for n.
-10
Solve 11*y + 1204 - 1193 = 0 for y.
-1
Solve -13*o + 150 = 12*o for o.
6
Solve 0 = -27*i + 44*i - 85 for i.
5
Solve -3*d = -d + 4 for d.
-2
Solve -13*j = 14*j + 27 for j.
-1
Solve 35*u - 74 - 136 = 0 for u.
6
Solve -20*y + 88 = 28 for y.
3
Solve -3*j + 168 = -59*j for j.
-3
Solve 3*x + 11 = -4 for x.
-5
Solve -8*b + b = 0 for b.
0
Solve 0 = 3*k - 7*k + 20 for k.
5
Solve 20*g = 8*g for g.
0
Solve -65 = -20*a - 145 for a.
-4
Solve 0 = -20*t - 18 - 82 for t.
-5
Solve -21*u = 10*u for u.
0
Solve 9*h + 16 + 2 = 0 for h.
-2
Solve 3*r - 12 = 7*r for r.
-3
Solve 0 = 5*g + 12 - 37 for g.
5
Solve 3*s = 154 - 163 for s.
-3
Solve -10*k + 6*k - 8 = 0 for k.
-2
Solve 66*w + 32 = 428 for w.
6
Solve 0 = -18*r + 7*r + 66 for r.
6
Solve -4*k = 2466 - 2458 for k.
-2
Solve 995*y = 1000*y - 30 for y.
6
Solve 17*v - v + 64 = 0 for v.
-4
Solve k - 63 = 22*k for k.
-3
Solve -8 = -5*m + 7 for m.
3
Solve -24*h - 6 = -26*h for h.
3
Solve 28 = -5*n + 33 for n.
1
Solve -6*p - 977 + 959 = 0 for p.
-3
Solve 8 + 0 = -2*g for g.
-4
Solve -23*p = -9*p - 28 for p.
2
Solve 12*x = -124 + 160 for x.
3
Solve -226*b = -212*b - 112 for b.
8
Solve -12*o = -7*o for o.
0
Solve -4*i = -0*i - 12 for i.
3
Solve 1 - 21 = 4*r for r.
-5
Solve -31*l = -23*l for l.
0
Solve 592 = -19*v + 402 for v.
-10
Solve 2*q + 4 = -0*q for q.
-2
Solve -89 = -6*o - 65 for o.
4
Solve 186 = 27*m + 78 for m.
4
Solve 21*f + 45 = 6*f for f.
-3
Solve 6*l = 18 + 6 for l.
4
Solve 222*q = 228*q - 30 for q.
5
Solve 95*z + 42 = 81*z for z.
-3
Solve -4*o = -116 + 88 for o.
7
Solve 12*f - 17*f - 20 = 0 for f.
-4
Solve 12*l = 7*l for l.
0
Solve -29*l + 12
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 5*p + p + 6 + 0*p + p**3. Suppose 0 = g - 5*q - 9, 5*g = 6*g + 5*q + 1. Suppose 0 = -h - 3, -4*h + 2 = 2*c + g. What is d(c)?
11
Let w = 86 + -86. Let q(n) = -n + 3. Let c(a) = -2*a + 6. Let j(z) = -3*c(z) + 5*q(z). What is j(w)?
-3
Let a(r) = 6 + 2*r - 6 - 3*r - 1. Let o(b) = 16*b**2 + 4*b + 3. Let i(u) = 4*a(u) + o(u). Determine i(-1).
15
Let g(i) = 22*i + 74. Let f be g(-3). Let x(k) be the third derivative of -1/24*k**4 + 0*k + 0 - 3/2*k**3 + f*k**2. What is x(0)?
-9
Suppose -7*x - 14 = -8*x. Let j(w) = 3*w**2 - 5*w**3 + 12*w - x*w - 1 + 6*w**3. Calculate j(-2).
7
Let w(k) = -4*k - 7 - 4 + 0*k - 5 + 1. Calculate w(-3).
-3
Let w = 389 + -401. Let m(j) = -j**3 - 12*j**2. What is m(w)?
0
Let w(z) = 2*z**2 - 29*z + 8. Let o(k) = k**2 - 14*k + 4. Let b(y) = -13*o(y) + 6*w(y). Suppose 0*n - 2*l = -n + 12, 0 = -n - l + 3. Calculate b(n).
8
Let h(z) = 9*z**3 - 7*z**2 - 2*z - 6. Let r(s) = 10*s**3 - 8*s**2 - 2*s - 7. Let i(a) = 6*h(a) - 5*r(a). Let y = 39 + -40. Determine i(y).
-5
Let p(n) = 9*n + 42 + 6*n**2 + 12*n**2 - 19*n**2 + 0*n**2. Determine p(12).
6
Let b(n) = -13 - 41*n**2 + 10*n + 40*n**2 + 4. Calculate b(9).
0
Let k(w) = -w + 2. Let f = 20 - 15. Suppose f*d = -4*q + 4 - 2, 2 = -4*d - 5*q. Calculate k(d).
0
Let u(i) be the second derivative of i**3/3 - 15*i**2 + 270*i. What is u(16)?
2
Let l(i) = -i**3 + 5*i**2 + 5*i + 4. Let y = 9 - -23. Let c be y/6 - 6/(-9). Determine l(c).
-2
Let k(r) = -3*r - 11*r**2 + 10*r**2 - 1 + 7*r. Let u = 22 + -20. Let a(s) = -3*s. Let x(l) = u*k(l) + 3*a(l). Determine x(2).
-12
Let j = 165 + -175. Let p(a) = a**2 + 12*a + 7. Give p(j).
-13
Let a(h) be the first derivative of -h**2 - 5*h + 3. Suppose -5*d = -4*d - 5. Let b = d - 9. What is a(b)?
3
Let o(j) = 6 - 2 - 3*j**2 + 4*j**2. Suppose -4*u + 10 = -2*m + 4, 4*u - 21 = -m. Calculate o(m).
29
Let l(q) = q**2 - 4*q - 3. Let h(c) = -c**2 + 11*c - 5. Let w be h(10). Suppose 4*b = w*k + 20 + 15, 3 = -k. Determine l(b).
2
Suppose -2*x - 2*x = -4. Let s = -28 - -34. Let a(g) = -4*g**2 + 13*g - 11. Let q(u) = 2*u**2 - 6*u + 5. Let p(c) = s*a(c) + 13*q(c). What is p(x)?
1
Let c(l) = -l**2 - 8*l + 8. Let k(a) = -a + 1. Let q(d) = -c(d) + 5*k(d). Suppose 20*j = 431 - 551. What is q(j)?
15
Let y(w) = 7*w**2 + 2*w - 17. Let m(t) = -3*t**2 - t + 8. Let h(z) = -9*m(z) - 4*y(z). Give h(2).
-6
Suppose 2*g = -4*k - 44, 0 = -4*g + 2*g - 2*k - 38. Let v = g - -20. Let m(r) = -r**3 + 4*r**2 - r + 3. Determine m(v).
-1
Let x be 4*1/12*3. Let f(d) be the third derivative of -d**4/24 + d**3/6 + 9*d**2. What is f(x)?
0
Let x(g) = 3*g**3 + 5*g**2 - 5*g + 6. Let u(i) = -8*i**3 - 11*i**2 + 12*i - 14. Let t(y) = 2*u(y) + 5*x(y). Determine t(0).
2
Suppose -2*t = 2*t - 20. Let j(w) = -w**2 + 3*w + 1. Determine j(t).
-9
Let v(b) = 2*b + 2. Let n = 4 + -1. Suppose -2*o + 0*o = 5*c - 13, 4*c = -n*o + 9. Let z be (15 - c)/(-2) + 3. Calculate v(z).
-4
Let a(f) be the second derivative of -1/3*f**3 + 0 - 11*f - f**2. Suppose -4*s - 20 = 4*n, 4*s - 3*s = -2*n - 9. What is a(n)?
6
Let t(o) be the second derivative of o**4/12 + o**3/2 + 4*o. Suppose 5*w = h - 12, w + 5*h = 14 - 6. Let a be (w*2)/1*1. What is t(a)?
4
Let k = 142 + -134. Let c(z) = z**3 - 7*z**2 - 6*z - 6. Determine c(k).
10
Let m(a) = -a**3 + 4*a**2 + 2*a - 6. Let p be (2/5)/((-15)/525). Let l be (-2)/(-4) - p/4. Calculate m(l).
2
Let h(w) = -4 + 6*w - w**2 - 2*w + 4*w. Suppose -20*t = 4*t + 6*t - 90. Give h(t).
11
Let t(b) = b**2 + 3*b + 2. Suppose -25*k + 24*k = 6. Give t(k).
20
Let p(z) = -2*z + 13. Let x be p(7). Let f(l) = 49*l**2 - 1. Calculate f(x).
48
Let n(q) = 1884 - 7*q - q**2 - 1884. Give n(-7).
0
Let n(y) = 9*y - 2. Let r(x) = -3*x + 9. Let i(u) = 8*u - 28. Let o(w) = -5*i(w) - 14*r(w). Let c be 22/(-3) - 8/(-6). Let s be o(c). Determine n(s).
16
Let v be 63/18*((2 - 2) + 2). Suppose -v*k - 17 - 11 = 0. Let t(r) = -r**2 - 6*r - 1. Give t(k).
7
Suppose -n = 3*m + 25, -7*m = -2*m - 4*n + 19. Let k(u) be the first derivative of -u**2/2 - 8*u + 1. What is k(m)?
-1
Let y = -15 - -26. Let f = 9 - y. Let w = 3 + f. Let s(l) = -7*l**3 + 2*l**2 - l. Determine s(w).
-6
Let b(n) = 24*n**3 + 31*n**2 - n - 22. Let w(i) = -7*i**3 - 10*i**2 + 7. Let f(s) = -2*b(s) - 7*w(s). What is f(-7)?
30
Let p(s) = -4*s**3 + 14*s**2 - 7*s - 2. Let z(a) = -a**3 + 2*a**2 - a - 1. Let g(x) = -p(x) + 5*z(x). Calculate g(-3).
-18
Let g(l) be the first derivative of -l**2/2 + 5*l - 1. Suppose 5*d = -2*j + 2, j = -2*d - 4 + 5. Suppose 7*h - 4 - 24 = d. Give g(h).
1
Let y(a) = -33*a**2 + 39*a**2 - 3*a - a**3 + 0 + 2. Calculate y(6).
-16
Let m(a) be the first derivative of a**2/2 - 14*a - 135. Give m(8).
-6
Suppose -5 + 13 = 4*v. Let l(n) = -n**3 + 2*n**2 + 5 + v*n + 6 - 11. Let d be 3/(-9)*-3 + 2. What is l(d)?
-3
Let x be (0 - 0) + (-5)/(-1). Let h(s) be the first derivative of 3*s - 22 + 0*s**2 - 1/4*s**4 + 5/3*s**3. Determine h(x).
3
Suppose 0 = 2*v, -5*v - 1 - 3 = -o. Suppose -5*j = -o*j + 7. Let a(y) = -7*y. Let w(m) = 6*m + 1. Let p(l) = 4*a(l) + 5*w(l). Give p(j).
-9
Let z(m) = 13*m + 96. Let s(v) = -4*v - 31. Let b(i) = 11*s(i) + 4*z(i). Determine b(-6).
-5
Let r(x) = -9*x**2 - 14*x + 10. Let q(v) = -5*v**2. Let n(c) = -2*q(c) + r(c). What is n(12)?
-14
Let f(v) = 4*v**2 + 1 - 7 + v + 5 - 5*v**2 - 4*v**3. Let n = 87 + -86. Give f(n).
-5
Let q be (12/8)/((-2)/(-4)). Suppose -4*u + q*u = 6. Let i(b) = b**3 + 6*b**2 + 3*b + 5. Calculate i(u).
-13
Suppose -4*u + 5*c + 11 = 0, -8*u + 6*u + 33 = 3*c. Let l(g) = -g**2 + 8*g + 12. Calculate l(u).
3
Suppose 0 = 4*n - 4*b - 56, -4*n - b - b = -44. Suppose -4*v + n = 56. Let u be v/4 - 1/4. Let w(l) = l + 2. Determine w(u).
-1
Let c = -308 + 444. Let w(k) = -c + 69 - 19*k + 67. Give w(-1).
19
Let i(a) = 9*a - 64. Let r(k) = 10*k - 73. Let o(y) = -8*i(y) + 7*r(y). Let h = -3 - -5. Let b = 4 + h. What is o(b)?
-11
Let d(k) = -k**2 + 4*k - 3. Let j be d(4). Let b(f) = 6638*f**3 + 4*f - 6637*f**3 + 10 - 7 + 4*f**2. Give b(j).
0
Let f(h) = -h**2 + 2. Let w = 47 - 45. Suppose -5*i - k + 6 = 0, -w*i - 3*i = 4*k + 6. Give f(i).
-2
Let q(t) be the first derivative of t**4/4 + 4*t**3 - 7*t**2 - 17*t + 94. Determine q(-13).
-4
Let k(g) = -2*g**2 + 2*g + 4. Let n(q) = 15*q**3 + 2*q + 1. Let f be n(-1). Let i be (f/24)/((-4)/(-42)). Let j = i + 10. Calculate k(j).
-8
Let m(g) = 6*g**3 + g**2 + g - 1. Let v = -21 + 21. Suppose f + 2*f - 9 = v. Suppose 2*q - 15 + 4 = -a, f*q = -a + 16. Determine m(a).
7
Let d(g) = g + 2. Suppose 0 = 5*r + 19 + 6. Let n(w) = -w**2 - 4*w + 7. Let l be n(r). Suppose l*u + 3 + 5 = 0. What is d(u)?
-2
Suppose -55*x = -50*x - 85. Let c be 34/8 - (-1)/(-4). Suppose c*k + 9 = 5*u, 0*k = 2*k - 5*u + x. Let i(s) = s**2 - 3*s + 4. Determine i(k).
8
Let b(o) = -o**3 + 2*o**2 - 3*o. Let r(v) = v**3 - 17*v**2 + 13*v - 11. Let c be r(16). Let d = c - -61. What is b(d)?
-6
Let r(o) = -2*o - 2. Let g(b) = -3*b - 1. Let c(y) = 3*g(y) - 2*r(y). Let z(w) = w**3 + 2*w**2 + 9*w + 66. Let f be z(-4). Determine c(f).
11
Let d(k) = 0*k**2 - 14 + 6*k**2 + k**2 - 4*k - 6*k**2. Let s be d(7). Let z(a) = -a - 4. Determine z(s).
-11
Let t(g) = -g**3 - g**3 - 4 + 5*g**2 + g**3 - 2*g. Let n = -24 - -27. Suppose n*l + 12 = 6*l. Give t(l).
4
Let v = -85 - -91. Let p(i) = -13*i + 20*i - v*i + 2. Give p(-4).
-2
Let x(q) = 15*q**2 - q. Suppose -267 = -21*w - 288. Determine x(w).
16
Let t(p) = 4*p**2 + p - 1. Let b = -3 + 11. Let i be (b/10)/(2/(-10)). Let g = -3 - i. Determine t(g).
4
Let g(v) = 5*v + 9. Let f(o) = -4*o - 9. Let p(d) = 4*f(d) + 3*g(d). Let x be (-2)/((-6)/(-9)) + 3. Calculate p(x).
-9
Let i(s) = -3 + 0*s - 8*s - 10 + 29 - 10. Give i(5).
-34
Let m(v) = -v**2 + 8*v + 7. Let a be (-6)/((-21)/7) + 7. Calculate m(a).
-2
Let x(p) = p**3 + 4*p**2 + 1. Suppose -2*s - 33 + 27 = 0. What is x(s)?
10
Suppose 4*g + 174 = 2*k, g + 2*g + 9 = 0. Let l be ((-18)/15)/(k/30 + -3). Let x(v) = v**3 - 4*v**2 + 3*v - 6. Determine x(l).
6
Let b(v) = 2*v - 4. Let h(i) = 9*i + 2. Let p(r) = -12*b(r) + 3*h(r). Determine p(-16).
6
Let i be 5/(-15) - (-2)/(-3). Suppose -7*a + 3*a + 8 = -4*u, -5*u + 8 = -2*a. Let w(z) = -z - 50 + 51 + a*z. Determine w(i).
-4
Let y = 44 + -44. Let t(z) = z + 4. Let r be t(6). Suppose r = -y*b - 2*b. Let a(s) = -s**3 - 4*s**2 + s - 5. Calculate a(b).
15
Let m(q) = -q**2 - 6*q - 3. Let w be ((-4
|
{
"pile_set_name": "DM Mathematics"
}
|
).
sqrt(2)/60
Simplify (-3 + -4*sqrt(42)/sqrt(6) - -1*(sqrt(21)/sqrt(3) + 4))**2.
-6*sqrt(7) + 64
Simplify ((2*sqrt(130) - sqrt(130) - sqrt(130))/sqrt(10) + -1 - (-1*sqrt(468))**2*3) + -1.
-1406
Simplify (-4 + -3*(-1*sqrt(90))/sqrt(2) + 1)*5.
-15 + 45*sqrt(5)
Simplify 6*((sqrt(3564))**2*-6 - (sqrt(44) - ((5*sqrt(308))/sqrt(7))**2 - sqrt(44))).
-121704
Simplify (sqrt(56)/(-2*sqrt(8)))**2 + -3 + (-3 + sqrt(63) + 2)**2.
-6*sqrt(7) + 251/4
Simplify -1*-1*(-2 + sqrt(343)*2 + sqrt(343))*6.
-12 + 126*sqrt(7)
Simplify (2*sqrt(91)*4 - (sqrt(91) - -1*(sqrt(91) + sqrt(91)*-1 - sqrt(91))))/(1*(sqrt(189)/sqrt(3) + sqrt(7))).
2*sqrt(13)
Simplify ((sqrt(75) + 1 - sqrt(300)*1) + -3 - 5*-3*sqrt(27)*1)**2.
-160*sqrt(3) + 4804
Simplify (-4*(sqrt(1053) - (sqrt(1053) + 0)))**2 + (sqrt(1053) - (3*(sqrt(1053)*-1 - sqrt(1053)) - sqrt(1053))**2).
-51597 + 9*sqrt(13)
Simplify ((sqrt(480)*-1 + sqrt(480))*6)/(sqrt(10)*-2*4)*5.
0
Simplify (3 + -4 + (2*sqrt(320)*2 + sqrt(320) - (sqrt(320) + sqrt(320) + 0 + -3)))**2*-1.
-2884 - 96*sqrt(5)
Simplify (6*(sqrt(112) + 1*sqrt(112) + sqrt(112)) + sqrt(112) - (2 + sqrt(343))*-5)**2.
2220*sqrt(7) + 86347
Simplify (2 + 2*sqrt(720) + sqrt(720) + (sqrt(720) - (sqrt(720)*1 + -1)))**2 + (sqrt(720)*2*-6 - (-1 + sqrt(720) + 0)**2).
96*sqrt(5) + 5768
Simplify (0 + sqrt(832)*-1 - sqrt(832) - sqrt(832)) + 2 + 5.
-24*sqrt(13) + 7
Simplify ((5*(-2 + sqrt(2736)) + sqrt(2736) - sqrt(2736))**2 + -2 + (sqrt(2736) + -2)**2 + sqrt(2736))*4.
-4944*sqrt(19) + 284952
Simplify (sqrt(300) + 5*(sqrt(300) + sqrt(300)*-1) - (sqrt(300) + (sqrt(300) - sqrt(300)*-2)*2))**2*-2.
-21600
Simplify -1 + ((sqrt(3388) + sqrt(3388) + -2)*3)**2*-2 + 5.
-244004 + 3168*sqrt(7)
Simplify (-2*(sqrt(65) - (sqrt(65) + (sqrt(65) - (sqrt(65) - 2*sqrt(65))))) - (sqrt(65)*2 - sqrt(65))*5)/((sqrt(405)/sqrt(9) + sqrt(5))*-6).
sqrt(13)/24
Simplify (-2*sqrt(2400)*-2 + sqrt(2400))/(-1*((-2*sqrt(1152) - sqrt(1152)) + sqrt(1152))).
25*sqrt(3)/12
Simplify -2*sqrt(57)/sqrt(3)*1 - ((sqrt(19) + sqrt(19) + -5 + (sqrt(1216) - sqrt(19)))*-3)**2.
-14076 + 808*sqrt(19)
Simplify (((-2*sqrt(182) + sqrt(182))/sqrt(7) + (1*sqrt(234))/sqrt(9))/(2*1*sqrt(2)*1))**2.
0
Simplify -3*(0 + -1 + ((4*sqrt(38)/sqrt(2))**2 - sqrt(19))).
-909 + 3*sqrt(19)
Simplify -5 + sqrt(304) - sqrt(19)*1*-6 - (1 + sqrt(19) + (sqrt(304) + sqrt(19))*-6)**2.
-15985 + 68*sqrt(19)
Simplify (3*(sqrt(156)*1 - sqrt(39)))/(-5*-1*sqrt(147) + sqrt(147) + sqrt(147)).
3*sqrt(13)/49
Simplify (2*(sqrt(75) + 1 + -2 + -4)*-5)**2.
-5000*sqrt(3) + 10000
Simplify (-3*((sqrt(117) + sqrt(117) + (sqrt(117) - 3*sqrt(117))*-6 - sqrt(117)) + sqrt(117)))/(1*(sqrt(9) + sqrt(9)*-3)*-1).
-21*sqrt(13)
Simplify 1*(sqrt(28) + -1)**2 - (sqrt(343)*-1 + -4).
3*sqrt(7) + 33
Simplify ((sqrt(252) + (sqrt(252) - 3*(2*sqrt(252) + sqrt(252))))/sqrt(9))/(sqrt(20)/(-1*sqrt(5)*-2)).
-14*sqrt(7)
Simplify 0 + (sqrt(32)/(sqrt(16) + sqrt(4)))/((sqrt(40)*-1)/sqrt(10) - sqrt(4) - sqrt(4)).
-sqrt(2)/9
Simplify ((-5*sqrt(171)/(sqrt(9)*2 - sqrt(9)) + (sqrt(152)*2*4 - sqrt(152))/sqrt(8))*2)**2.
304
Simplify (-2*(sqrt(21) + sqrt(21) + (sqrt(21) - sqrt(21)*5)))/(sqrt(972)/sqrt(9)).
2*sqrt(7)/3
Simplify (sqrt(128) + -5*3*sqrt(128) + sqrt(128) + (-3 + (sqrt(128) - sqrt(128)*-3))**2)*2.
-592*sqrt(2) + 4114
Simplify (sqrt(1000) - (sqrt(1000) + (-2*sqrt(1000) - sqrt(1000))) - 2*sqrt(360))/(sqrt(48)/(sqrt(486)*2)).
162*sqrt(5)
Simplify -1 + -3*(sqrt(1573) + -1) + ((sqrt(1573) + 1 - sqrt(1573))*-1)**2 + -1.
-33*sqrt(13) + 2
Simplify (-5 + (-1*2*sqrt(1728) - sqrt(1728)) + 1 + 2*sqrt(1728) + sqrt(1728))**2.
16
Simplify (-2*sqrt(99)*-2)/(sqrt(9) - (sqrt(9) + -2*sqrt(324) + sqrt(324)))*6.
4*sqrt(11)
Simplify ((4 + -6*(sqrt(288) + -2) + 2 + 0)*-2)**2.
-10368*sqrt(2) + 42768
Simplify ((2*sqrt(240))/sqrt(5) - (5 + (sqrt(75) - sqrt(75)*3)))*1.
-5 + 18*sqrt(3)
Simplify (sqrt(55)/sqrt(45) - (sqrt(77) - -1*sqrt(77) - sqrt(77))/sqrt(7))**2 - (2*sqrt(44)/sqrt(4) + (4*sqrt(396) - sqrt(11) - sqrt(11)) + sqrt(11))**2.
-61831/9
Simplify (sqrt(26) - (-1*sqrt(1664) - sqrt(1664)) - sqrt(312)/(sqrt(36)/sqrt(3) - sqrt(12) - sqrt(12)))/(2*sqrt(200)*2 - sqrt(200)).
3*sqrt(13)/5
Simplify -1 + sqrt(475)*-4 + ((sqrt(95)*3 + sqrt(95))/sqrt(5) - sqrt(19)) + -4.
-17*sqrt(19) - 5
Simplify (sqrt(1980)*1 - sqrt(440)/(sqrt(8)*-1))/(-1*(sqrt(44)/(sqrt(4) + sqrt(4) + sqrt(4)*-4) - sqrt(11))).
14*sqrt(5)/3
Simplify (sqrt(30) - -6*sqrt(270))/(sqrt(30)/(2*sqrt(5)))*2.
76*sqrt(5)
Simplify 4*(5 + (sqrt(153) - (1*sqrt(153) + sqrt(153))) + ((2 + sqrt(153))*-6 - sqrt(153))**2 + sqrt(153)).
2016*sqrt(17) + 30584
Simplify 1*((sqrt(21)/(sqrt(3)*-2) + -4)**2 + -4)*3*3.
36*sqrt(7) + 495/4
Simplify ((5*sqrt(270)*3 - sqrt(270))/(sqrt(10) + sqrt(10) + -3*sqrt(640) - sqrt(10)))**2.
5292/529
Simplify -5 + 1*(-3*sqrt(126))/((sqrt(36)/sqrt(3))/sqrt(6)).
-9*sqrt(7) - 5
Simplify ((sqrt(25) - sqrt(75)/sqrt(3))*1 + sqrt(25) + -4*(sqrt(25) + 1*sqrt(25) + sqrt(25)))/(-6*(sqrt(250)/sqrt(5))/sqrt(10)).
11*sqrt(5)/6
Simplify (-3*sqrt(1260)*-1)/(((sqrt(7) - ((sqrt(224)/sqrt(4) - sqrt(56))/sqrt(8) - sqrt(7))) + sqrt(7))*5).
6*sqrt(5)/5
Simplify 3 + ((sqrt(325) + 1 + sqrt(325))*-2 + -6*3*sqrt(325) + sqrt(325))**2.
420*sqrt(13) + 143332
Simplify -6*-2*5*(sqrt(128) + ((sqrt(128) + -1*sqrt(128) + 3 - sqrt(128) - sqrt(128))**2 - sqrt(128)))*1.
-5760*sqrt(2) + 31260
Simplify (-5*((0 + sqrt(931))*3 + sqrt(931)) - (sqrt(931)*2 + sqrt(931) + sqrt(931) + 5 + sqrt(931) + sqrt(931) + 2*sqrt(931) + -1 + sqrt(931)))**2*-5.
-3914935 - 8120*sqrt(19)
Simplify 2*(sqrt(187) - ((sqrt(187) - (sqrt(187)*2 - sqrt(187))) + sqrt(187))*5)/(-3*sqrt(1584) + sqrt(1584) + sqrt(1584)).
2*sqrt(17)/3
Simplify -5 + (sqrt(700)*1 - sqrt(700))/(sqrt(32)/(sqrt(8)*1)).
-5
Simplify 6*5*(sqrt(6) - sqrt(486)*-2)/((sqrt(16)/sqrt(2))/sqrt(4)) + -1.
-1 + 570*sqrt(3)
Simplify (0 + (sqrt(275) + -1 - sqrt(275))**2)*-4 - (5 + (2 + sqrt(275))*5).
-25*sqrt(11) - 19
Simplify (((sqrt(76)/sqrt(4) + 0 - (sqrt(1900) - 2*sqrt(1900))) + sqrt(171) + 5 + 1*sqrt(1216))*2)**2.
880*sqrt(19) + 36884
Simplify (2 + -6*6*(sqrt(98) + -2))**2*6.
-223776*sqrt(2) + 794904
Simplify (((sqrt(176) + (1*sqrt(176) - sqrt(176)))*-6 - (-3 + sqrt(176)*2))*3)**2*1*-3.
-304371 + 5184*sqrt(11)
Simplify (2*(sqrt(950) - sqrt(38))*-5)/((sqrt(22) - 6*(sqrt(22) + sqrt(88)))/sqrt(11)).
40*sqrt(19)/17
Simplify 3 + ((sqrt(99) + (5*(2*sqrt(99) + sqrt(99)) - sqrt(99) - sqrt(99)))/(-2*sqrt(225)))**2.
614/25
Simplify (-3 + (sqrt(175)*2*-1 + -5 - (sqrt(175)*-2*1 + -4)))**2.
16
Simplify (-3*(sqrt(3200) + 2*sqrt(3200) + sqrt(3200)))/(-3*(2*sqrt(20))/sqrt(2)).
16*sqrt(5)
Simplify -2 + ((3*(3 + sqrt(684) - sqrt(684)) + -2 + sqrt(684) + -4)*6)**2.
1296*sqrt(19) + 24946
Simplify -1 + 6*2*((2 + -1 + sqrt(2448) + sqrt(2448) - sqrt(2448)) + ((sqrt(2448)*2 - sqrt(2448)) + -3)**2).
-720*sqrt(17) + 29495
Simplify 5*(1*(sqrt(171) + 5) + sqrt(171) + (sqrt(171) + 4)**2 + 4).
150*sqrt(19) + 980
Simplify (sqrt(12)/(sqrt(22)/(sqrt(11)*2) + sqrt(2)))/(-1*-5*sqrt(48)).
sqrt(2)/30
Simplify (((-3 + sqrt(320) + 0)**2 + sqrt(320))*4 + 1 + 3)*5.
-800*sqrt(5) + 6600
Simplify ((sqrt(77) + 6*2*sqrt(77) + sqrt(77)*-1*-3)/(-2*sqrt(7)*-2 - -1*sqrt(7)*-1))**2.
2816/9
Simplify (sqrt(3) + sqrt(3) + sqrt(864)/sqrt(8))*-2 + 0 + sqrt(5808) + -1.
-1 + 28*sqrt(3)
Simplify (-1*(sqrt(17) + sqrt(17) + 2)*4 - (4 + (sqrt(119)*1)/sqrt(7)))**2.
216*sqrt(17) + 1521
Simplify (sqrt(637) + -3*sqrt(637) + 3 - (sqrt(65)*-1*-3)/sqrt(5))**2.
-102*sqrt(13) + 3766
Simplify ((sqrt(176)/sqrt(4)*-3 + sqrt(44)*-1*-3)/(sqrt(48)/(sqrt(84)/(sqrt(21)/sqrt(3))))*-1)**2.
0
Simplify (sqrt(136) + (sqrt(136) - 3*(sqrt(136) - (sqrt(136) + sqrt(136)*4 + sqrt(136)))))/(sqrt(8)*-3*3).
-17*sqrt(17)/9
Simplify (-3 + -6*(sqrt(833) + 1 + -5 + 1 + sqrt(833) + -1))**2.
-3528*sqrt(17) + 120393
Simplify (3 + (sqrt(484)/(sqrt(110)/sqrt(10)))/(sqrt(4) - (sqrt(4) + sqrt(16)/sqrt(100) + sqrt(4))))**2.
-5*sqrt(11) + 599/36
Simplify (sqrt(91)*-1*-5 - (1*sqrt(91)*-4 - sqrt(91) - sqrt(91) - sqrt(91)))/((sqrt(84) - 1*sqrt(84))/sqrt(12) - (1*sqrt(343) + sqrt(7))).
-3*sqrt(13)/2
Simplify -5 + (-5 + (sqrt(891) - (sqrt(891) + -2) - sqrt(891)) - sqrt(891) - sqrt(891))*-2 + -2 + 2.
1 + 54*sqrt(11)
Simplify ((sqrt(1275) - (sqrt(1275) + sqrt(1275) + 2*((-1*sqrt(1275) - sqrt(1275)) + sqrt(1275))))/(-6*sqrt(192)*2))**2.
425/9216
Simplify ((2
|
{
"pile_set_name": "DM Mathematics"
}
|
b bigger than -1?
True
Suppose -2*h - 3*u + 16 = 0, 5*h - 6 = -3*u + 4*u. Let y be -2 + (0 - -1) + 4. Suppose h*v + c + 6 = -2*c, y*v + 9 = 3*c. Which is greater: -4 or v?
v
Let a be 3/((-6)/9 - 0). Are -4 and a non-equal?
True
Let c = 0.7 - 1.7. Is c < 1/4?
True
Let g = 49285/56 + -880. Which is smaller: g or 0?
0
Let t(s) = -19*s - 1. Let q be t(-3). Let r be (-24)/q*14/20. Is r greater than or equal to -1?
True
Let y be (-44)/20 - (-2)/1. Suppose -5*z + 0*z + 20 = 0. Suppose -z*r + 5 = r. Which is smaller: y or r?
y
Let o(b) = 2*b**3 + b**2 - b - 1. Let u be o(-1). Let p = 12 - 13. Is u > p?
False
Let q(r) = r**2 + 3*r - 5. Let o be q(-4). Which is smaller: o or 30?
o
Let a be (-2610)/(-120)*((-8)/(-2))/1. Do a and 87 have different values?
False
Let t be (3 - 1)/((-9)/(-1)). Let m = 0.21 + 9.79. Let v = 10 - m. Is t greater than or equal to v?
True
Let u be 9/2*((-54)/(-6) + -13). Which is bigger: -120/7 or u?
-120/7
Suppose -5*x - 45 = -5*h, 5*x = 4*h - 15 - 19. Let n = h + -26. Is -15 < n?
False
Let q = 102/5 + -11011/540. Let m = q + 319/540. Does m = -2/5?
False
Suppose 15 = 2*x + 2*x + c, 0 = 3*x - 3*c. Suppose -4*b - 8 = 0, -3*v - 4 = -b + 3. Let u be 6*v*(-2)/9. Which is smaller: u or x?
x
Let a be 0 + 0 + (2 - -14). Let c = 13 - a. Do c and -3 have different values?
False
Let o(b) = b**2 + 10*b - 5. Let t be o(-11). Let p be ((-30)/(-9))/(4/6). Do p and t have different values?
True
Let q = 0.49 + -0.29. Is -0.09 <= q?
True
Let r(x) = -x + 12. Let b be r(9). Is b less than or equal to 9?
True
Let n be -4 - (6/2 - -3). Which is bigger: -12 or n?
n
Let p = -14/9 + 47/36. Which is bigger: p or -4?
p
Let k be (-6 - -5)*-2 - 432/214. Is -0.1 at least k?
False
Suppose 0 = -m + 5*j, -4*m = -9*m - j. Let s be -5 + (2 - m) + 4. Which is bigger: 2/43 or s?
s
Let d = 6.1 + -6. Let f(b) = b + 1. Let a be f(3). Let u = 1 - a. Which is smaller: d or u?
u
Let c be (-46)/140 - (-2)/5. Is 0 less than or equal to c?
True
Let v be (3/9 - 1) + 188/12. Is v at most 14?
False
Let m = 2 - 1. Let c be 1 + m - 22/6. Let d = 17 + -18. Which is greater: d or c?
d
Let q be (-8 - 5/5)/1. Do -9 and q have different values?
False
Let d = -15 - -21. Let n be -1 - (50/(-2))/5. Suppose -n*i - d = -2. Which is bigger: i or -1/8?
-1/8
Let o = -32 + 48. Suppose l = 3*y - o, l + y + 3*y - 19 = 0. Is 7 >= l?
True
Let q = 11089/118 - 612/295. Let r = q + -92. Is r bigger than -1?
True
Let w = -9.883 - 0.017. Let c = -10 - w. Which is smaller: 3/4 or c?
c
Let c = 13371/29 - 461. Which is greater: c or 0?
c
Let a be 0/1 + 14 - -4. Let i = a - 20. Is i <= -12/5?
False
Let d(a) = a**3 - 8*a**2 + 7*a - 2. Let z be d(7). Suppose g - 3*g = -s - 5, -g - 25 = 5*s. Suppose g = -6*b + b. Is b >= z?
True
Let a be -1 + 3/((-30)/(-14)). Let g be ((-5)/15)/(2*(-1)/(-6)). Which is greater: a or g?
a
Suppose -2*c + 16 = -14. Let s = 21 - c. Is 8 less than or equal to s?
False
Let m be (2 + -3058)*(-1)/(-32529). Let l = m + -2/1549. Which is smaller: l or 1?
l
Let k = 5.84 - -0.06. Let r = 6 - k. Is 0.1 at least r?
True
Let f be ((-20)/(-50))/((-3)/(-10)). Let s be (2 - 5)/6*-2. Suppose 1 = 2*u - s. Which is greater: f or u?
f
Let a = 1 + 2. Suppose 0 = r - 0*r. Suppose c = -2, r = -3*i + c + 2*c + 12. Which is greater: i or a?
a
Suppose -2*m + 12 = 4*c, -m + 3 + 0 = c. Let q(h) = -h**3 + 2*h**2 + 4*h. Let a be q(c). Is 3 > a?
False
Let a = -3.4 + 3. Let k = 0.41 + a. Which is smaller: k or 0?
0
Suppose -x + v = 8, 2*x = -4*v - 0*v + 14. Suppose q - 2*h = -0*h, 2*q + 3*h + 14 = 0. Is q equal to x?
False
Let d = -26 - -24. Which is smaller: -3 or d?
-3
Suppose 2*q - 19 = 3*b - 2*q, -8 = -2*q. Let o be 1/(-3)*(-6)/(-4). Is o bigger than b?
True
Let g be (-2490)/(-52)*(-66)/9. Let o = g - -351. Which is greater: 0 or o?
0
Let s be -3 - ((-115)/125 - 2). Which is bigger: s or -1?
s
Suppose 12*y - 5 = 7*y. Let p be (18/16)/(15/4). Is y less than p?
False
Let b(n) = n - 5. Let s be b(5). Suppose s*h + 11 = -h. Which is bigger: h or -10?
-10
Let x = -9.9 - -10. Do 1 and x have the same value?
False
Let x = 4 - 3. Let y be (x/6)/((-4)/3). Let i be -3 + 0/(-2) - -4. Which is smaller: y or i?
y
Let l = -69 - -68. Are l and -9/8 nonequal?
True
Suppose 0 = 5*j - 2*j - 84. Suppose -4*t = 3*p + j, 5*p - 4*t + 20 = -16. Let u be (-22)/(-8) - p/(-4). Which is greater: u or 0?
u
Let z = -4.73 + -0.27. Is z at least -3/4?
False
Let l = -63 - -59.7. Let g = 0.3 + l. Let u = 2.02 + -1.02. Are g and u nonequal?
True
Let w = -6 - -5.9. Let j = w - -0.1. Which is smaller: j or -0.6?
-0.6
Let w = -0.1 + 0.15. Let t = -0.26 - 0.09. Let j = w + t. Which is smaller: -2/7 or j?
j
Let q = 18749429/31430 + -35071/70. Let a = q - -18/449. Let s = a - 96. Are -1 and s unequal?
True
Suppose 2*x + 8 = -0*x. Let f be -1 - -2 - x/(-10). Is 3 less than or equal to f?
False
Let d be 2/(-16) - 616/64. Which is smaller: -9 or d?
d
Let m be (36/(-20) + 3)/(7/(-5)). Which is bigger: -2 or m?
m
Let g(x) be the third derivative of x**4/24 - 4*x**3/3 + 3*x**2. Let q be g(6). Which is smaller: -3 or q?
-3
Let i be (0/(-3))/(-4 - (-10)/2). Let f be ((-18)/(-56))/((-6)/(-16)). Is i >= f?
False
Let f = 28 - 20. Which is greater: f or 6?
f
Let l(d) = -d**2 - 6*d + 3. Let i be l(-6). Suppose x + 2 + i = 0. Let g be 16/90 - (-2)/x. Is g less than or equal to -0.1?
True
Let d be 1 + (-1 + -1 - -3). Suppose -4*n + d - 6 = 0. Let w = 619/9 + -69. Is n greater than w?
False
Suppose -4 = -u, -5*v + 0*v + 2*u = 28. Suppose 6 = -3*n - 3. Which is bigger: v or n?
n
Let z be -18*(-3)/((-12)/(-40)*-3). Which is greater: -61 or z?
z
Suppose 2*l - 5*l + 9 = 0. Suppose -k = 3*x - 5, -2*k = -2*x - 3*k + 2. Does l = x?
True
Let k be (26/1)/(2*-1). Which is smaller: k or -11?
k
Suppose 3*r = 8*r + 20. Let h be 1/(-4) + (-1)/r. Let d be -9 + 4 - (-6)/2. Which is smaller: h or d?
d
Let c be -2*(-2)/16 + 0. Let p = 12 - 7. Suppose 4*w - 2*d = 8, w + 20 = -w - p*d. Is w smaller than c?
True
Let z(x) = -2*x**2 - x - 1. Let v be z(0). Is v less than 5/11?
True
Suppose 0 = 3*y - 94 + 19. Suppose -5*a = -y, 4*k + 5*a - 24 - 21 = 0. Suppose -8 - k = 2*l + 5*b, 0 = -l + 3*b + 21. Which is smaller: l or 5?
5
Suppose -2*g = -0*g. Let w = -10/73 + 382/657. Is g not equal to w?
True
Let h(t) = -t**3 + 5*t**2 - t + 7. Let m be h(5). Let c = m - -1. Is c bigger than 3?
False
Let q(d) = -3*d + 7. Let w be q(-6). Suppose -3*o + p - w = 0, -2*p + 5 = -o - 0. Let k = o - -5. Is -3 > k?
True
Let h = 22/59 + 377/413. Is 1 greater than h?
False
Let i(s) = s**3 - 5*s**2 - s - 2. Let x be i(5). Is -8 less than x?
True
Let f be -1 + 534/15 - 3/5. Which is greater: 33 or f?
f
Let o be (-2)/12 - (-182)/12. Which is smaller: 14 or o?
14
Let q = -3/20 + 31/340. Is 0 not equal to q?
True
Let i be (-284)/28*2 - 4/(-14). Which is smaller: i or -0.1?
i
Let s be ((-12)/(-42))/(8/14). Which is smaller: s or -1?
-1
Let y(r) = 3*r - 5. Let b be y(4). Which is smaller: 0.2 or b?
0.2
Let t = -0.2 - 0.2. Let l = t + 1.4. Let b = l + -1.1. Which is smaller: 1 or b?
b
Let t = 31 - 32. Is 2/135 bigger than t?
True
Let b be ((-1)/(-2))/(2/8). Let r = 18 - 18. Suppose v + 2*y + 4 = r, 3*y - 1 = -2*v - 6. Is b at most v?
True
Let y be 2/6 - 5/(-3). Let r(m) = -m - 5. Let v be r(-5). Suppose -f + v = -y. Is 2 != f?
False
Suppose -17 = -4*k - t, -5*t = -4*k - 2*t + 29. Let f = 2 - -2. Suppose -5*r = n + k, f*r - 2*n = 3 - 7. Which is smaller: 0 or r?
r
Let v = 198/5 - 43753/1105. Let w = v + 33/221. Let d be 0 - 2/(-4)*2. Which is bigger: w or d?
d
Let u be (2 + (-10)/4)*0. Suppose u = 7*i - 2 + 23. Is i greater than or equal to -1?
False
Let n(k) = -k**3 - 13*k**2 - 12*k. Let u be n(-12). Suppose u*p = -2*p. Let l = p - -1. Which is smaller: 1/6 or l?
1/6
Let m(c) = c**3 + 3*c**2 - 4*c + 3. Let x = -2 - 2. Let g be m(x). Is 3 at most as big as g?
True
Let d be 6/(-14)*4/6. Suppose -6 = 3*f - 21. Suppose -f*t = -5 - 0. Is t greater than d?
True
Let r(z) = 2*z - 35. Let l(h) = 3*h - 53. Let n(o) = 5*l(o) - 8*r(o). Let x be n(7). Is 8 smaller than x?
False
Suppose a = 2*v - 0*a + 3, -v = -a + 2. Is v != 1/7?
True
Let r be (-1608)/(-40) - 2/10. Let o be (-210)/r*(-2)/3. Which is smaller: o or 3?
3
Let t be (-2)/(-200)*8/6. Let u = t - -49/75. Are 0 and u equal?
False
Let m = -18 + 17. Which is smaller
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*u - 3. Let y be f(-2). Let g = -2 - y. Sort w, g, 1 in increasing order.
g, 1, w
Let y = 9.26 - 0.26. Let r = -567 - -567.4. Sort y, -2, r.
-2, r, y
Let w(t) = 2*t**2 - 27*t + 16. Let m be w(13). Suppose -7*p + 160 = -2*p. Suppose 4*a = -5*z + p, -a - 6 = a - m*z. Sort a, -4, -2.
-4, -2, a
Suppose -5*l - 4*v = -10*l + 16, -4*v = 5*l + 16. Suppose -2*g + l*g = -6. Sort -2, 1, g.
-2, 1, g
Let w = 193 - 197. Put 2, w, -2, -1 in descending order.
2, -1, -2, w
Let f = -1403 + 1412. Let g(m) = m**3 + 7*m**2 + 6*m + 2. Let v be g(-6). Put 3, v, f in descending order.
f, 3, v
Let v = 1465 + -989. Sort 3, -1, v in descending order.
v, 3, -1
Let o be (168/(-252))/((-2)/15). Put -5, -35, o in descending order.
o, -5, -35
Suppose -2*i + 5*k - 48 = k, 0 = -5*i + 4*k - 150. Let r = 50 + i. Let s be r/(-28) - (-96)/(-28). Put 0, s, 2 in increasing order.
s, 0, 2
Let f = 16 + -83. Let m = -61 - f. Put m, 0, -3 in increasing order.
-3, 0, m
Let z = -2/57 - 88/741. Let f = -1366 - -1362. Put 2/7, z, 0.02, f in descending order.
2/7, 0.02, z, f
Suppose -4*t + 3*m = -26, -2*m - 20 = -2*t + 3*m. Let n(z) = -3*z + 12. Let a be n(t). Put 4, a, -4 in decreasing order.
4, a, -4
Let s be (-3)/3*(1 - -5). Let y be (-4)/14 + (-46)/(-14). Let k = s + y. Sort k, -1, 0 in decreasing order.
0, -1, k
Let z = -267 + 268.3. Put 0.5, 3/5, z, -2 in ascending order.
-2, 0.5, 3/5, z
Let n(k) = 31*k - 154. Let s be n(5). Sort 2, s, 4, 73.
s, 2, 4, 73
Let h(q) = q**2 + 10*q + 17. Let c(u) = -7*u**2. Let j be c(1). Let m be h(j). Let f be 2/(-5) - 78/30. Sort m, -2, f.
m, f, -2
Let d = 183 + -182. Sort -0.5, d, -6 in descending order.
d, -0.5, -6
Let j(k) = 2*k**3 + 2*k**2 - 2*k - 1. Let q be j(-2). Let t be (-24)/(-56) - (-25)/7 - 3. Let l be (18/6)/(t - 0). Sort -8, l, q.
-8, q, l
Let y = 2 + 3. Suppose -4*u + 179 = 63. Let s = 231/8 - u. Sort -0.2, y, s in ascending order.
-0.2, s, y
Let t = 6930.2 - 6933.2. Let m = -1 - -1. Let b = 0 + m. Put b, t, -0.1 in descending order.
b, -0.1, t
Let g = -15 + 9. Sort -1/2, 9, g in descending order.
9, -1/2, g
Let n be 38/(-8) - (-13 + 318/24). Put n, 50, 2 in decreasing order.
50, 2, n
Let h be (-9)/(-3)*4/6. Suppose -k + h = -0. Suppose 4*x - 34 = -5*j - 15, -4*x - 11 = -5*j. Sort -5, k, j.
-5, k, j
Suppose -4*d + 3 = v - 8, 3 = v. Let c be ((-3)/13)/((-15)/(-10)) + 480/78. Sort d, c, 0 in increasing order.
0, d, c
Suppose 0 = 2*l + 2 + 2. Let x(s) = 67*s - 264. Let u be x(4). Put -5, 2, u, l in ascending order.
-5, l, 2, u
Let c be (-74)/(-14) + 4/(-14). Suppose -l + 2*l - c*v = 2, -3*l = 4*v - 6. Put 5, l, -1 in ascending order.
-1, l, 5
Let q(d) = -d**3 + d**2 - d - 6. Let l be q(0). Suppose -3*w + 2*o = -2*o - 8, -5*w + 3*o = -6. Sort w, 2, l.
l, w, 2
Let q = -0.139 - 7.861. Put 5, q, -2 in decreasing order.
5, -2, q
Let m = 0.55 - 0.35. Put 1/8, m, 1/3, 1 in decreasing order.
1, 1/3, m, 1/8
Let l(z) = -2*z**3 + 4*z**2 - z - 2. Let q = -22 - -24. Let u be l(q). Sort u, 2, -1 in increasing order.
u, -1, 2
Let p be 1*(-4 + 2) + 12*1. Let a be ((-24)/20)/((-4)/p) + -7. Sort -1, -20, a in descending order.
-1, a, -20
Suppose -2 = -4*c - 6. Let j be (4/5)/((-3)/15). Let b be (-8)/(-14)*(-14)/j. Put c, -0.5, b in descending order.
b, -0.5, c
Suppose 1 = 4*j - l, 22*j - 21*j + 5*l + 5 = 0. Sort -20, -1, j in increasing order.
-20, -1, j
Let o = -9733/8 - -1217. Let h = 3 + -2.6. Put o, -0.5, -4, h in ascending order.
-4, -0.5, o, h
Let m = 222 - 223. Put m, 4/7, 0.09 in ascending order.
m, 0.09, 4/7
Let p = -34 - -46. Let u be ((-38)/14 + 3)/(p/14). Sort -4, u, -0.4, 6 in decreasing order.
6, u, -0.4, -4
Let w(i) = i**3 + 9*i**2 + 8*i - 2. Let h = -28 - -20. Let p be w(h). Let x be 0*(p + 0)/4. Put x, 5, 3 in decreasing order.
5, 3, x
Suppose -2*u + 4*u = b + 8, -4*b - 4*u = -28. Suppose 7*q = 2*q + b*w + 25, -w + 25 = 5*q. Let d be ((-4)/q)/(4/20). Sort d, 2, 3 in increasing order.
d, 2, 3
Let q = 1068 - 1067. Sort 0, q, 3, -32 in decreasing order.
3, q, 0, -32
Suppose 0 = -4*p - i + 73, -88 = -2*p - 3*p + 2*i. Suppose -2*w + p = w. Suppose 7 = w*l + l. Sort -4, l, -5 in decreasing order.
l, -4, -5
Let s = -2.9 + 0.7. Let k = s - -1.1. Let d = k + 0.1. Put d, 3/8, -4 in descending order.
3/8, d, -4
Suppose 0 = -4*x + 3*s + 2, s + 3*s = 8. Suppose -x*o + 13 = 3. Sort 0, -3, o in increasing order.
-3, 0, o
Let z(a) = 16*a - 51. Let p be z(7). Sort 4, -4, -2, p in descending order.
p, 4, -2, -4
Let i = 44 - 33. Suppose -7*k = -0*k + 14. Sort i, k, -1.
k, -1, i
Let d = -41 + 44. Put 19, -3, 1, d in ascending order.
-3, 1, d, 19
Suppose 13 + 27 = 2*o. Suppose -s + o = -6*s. Let n = 1465/2 - 733. Sort n, s, -0.1.
s, n, -0.1
Let t be (0 - -1)/(2/(-6)). Let u = 26 - 30. Let z(l) = -l**3 - 4*l**2 - 1. Let y be z(u). Sort -5, y, t.
-5, t, y
Let n = 722.9 + -761. Let m = 38 + n. Put m, -1, 0.4, -11 in increasing order.
-11, -1, m, 0.4
Let j = 93.3 + -92.9. Sort j, 1/37, -5.
-5, 1/37, j
Let z = 1649/9 - 183. Let g = 40 - 40.5. Let y = 3.05 + -0.05. Sort g, z, y.
g, z, y
Let u = -16 - -8. Let j = u - -13. Let i = -6 - -6.2. Put -2/3, i, j in decreasing order.
j, i, -2/3
Let r = 138 + -139.17. Let y = -1.17 - r. Sort -5, -21/4, y, -2/11 in descending order.
y, -2/11, -5, -21/4
Let v(z) be the first derivative of -2*z**3/3 + 13*z**2 - z + 36. Let m be v(13). Sort -3, 3, m in decreasing order.
3, m, -3
Suppose 0*v - 3*v + j - 26 = 0, -3*v + 5*j - 22 = 0. Suppose w + 32 = -3*r, 3*r = 4*w + 118 + 55. Let l = -38 - w. Sort v, 4, l in descending order.
4, l, v
Let t(g) = 2*g**3 + g**2 + g - 1. Let n be t(1). Sort n, 2, -14, 5 in decreasing order.
5, n, 2, -14
Let y be (2/(-3))/(28/(-21)). Let f = 0.5 - 0.44. Sort y, f, -2 in descending order.
y, f, -2
Suppose -62 = -5*l + 13. Sort 0, -5, l.
-5, 0, l
Let b(v) = 5*v**3 - 2*v + 1. Let x be (-40)/12 - (-6)/(-9). Let m = x + 5. Let t be b(m). Put t, 0, -4 in decreasing order.
t, 0, -4
Let o be (-4)/(-8) - 14/(-4). Let k be (-2)/(-10) + 4368/910. Put o, -2, k in increasing order.
-2, o, k
Let b be 18/48*-4 + 1. Sort b, 1, 4, 10 in decreasing order.
10, 4, 1, b
Let h = 2441/978 - -2/489. Sort 5, -2/3, h in decreasing order.
5, h, -2/3
Let y = 2 + -1.5. Let i = 0 - 0.1. Sort y, 18, i.
i, y, 18
Let h = 446 - 446.4. Put -2/13, 1/9, 1, h in increasing order.
h, -2/13, 1/9, 1
Let f(p) = p**3 - 14*p**2 - 15*p + 5. Let m be f(15). Sort -2, -5, m in descending order.
m, -2, -5
Let t = -19.5 + -5.5. Let u = -24 - t. Let y be 13/(-6) + (-25)/(-10). Put 4, y, u in ascending order.
y, u, 4
Let a(y) = y**3 + 4*y**2. Let n be a(-4). Suppose -58 = -5*u - 2*q, u + 2*q + 62 = 6*u. Suppose 4*c + 8 = -u. Put c, n, -2 in increasing order.
c, -2, n
Let j = 7 + 5. Suppose -2*c - j = -5*c. Sort -5, c, -4 in decreasing order.
c, -4, -5
Let v(x) = -10*x - 25. Let b be v(-11). Let s be (b/(-51))/(10/(-18)). Put s, 1, -16 in decreasing order.
s, 1, -16
Suppose -m = 5*s - 5, 0 = 3*s - 4*m + m + 15. Sort -4, 1, s in descending order.
1, s, -4
Let f be -135*(42/9 + -3). Let z be (1/(-5))/(f/250). Sort 3/7, -3/4, z in decreasing order.
3/7, z, -3/4
Let d = -1506 - -1516. Sort 4/7, -5, d in ascending order.
-5, 4/7, d
Suppose 17 = 4*b + c, 7*b - 2*b - 24 = -4*c. Suppose l = -b*s - 12, 0 = 3*l - s + 5*s + 4. Let u be l*1 - (1 + -1). Sort -1, -4, u in decreasing order.
u, -1, -4
Let w = -191 + 186. Put 2, 1, w, 0 in increasing order.
w, 0, 1, 2
Let r = -30.998 - 0.002. Let b = -27 - r. Sort b, 2, -19.
-19, 2, b
Suppose 0 = 5*a + c - 31, -2*a = c + 3*c + 2. Suppose 3*r + 0*r = 102. Let d = -38 + r. Sort a, d, -5 in decreasing order.
a, d, -5
Let i = 7.34 + -6.94. Put 5/4, -39, i in descending order.
5/4, i, -39
Suppose 17*d - 14*d + 6 = 0. Sort d, 8, 2 in descending order.
8, 2, d
Suppose 43 = 2*h - w + 38, 5*w = -15. Sort h, 4, 72 in decreasing order.
72, 4, h
Let x = 0.158 - 35.158. Let a = x + 36. Sort 9, a, -3 in decreasing order.
9, a, -3
Let u = -30 + 33. Let v(w) = w**2 + 0 - 2 + 2*w**3 - w**3. Let c be v(0). Sort u, 5, c in increasing order.
c, u, 5
Suppose 18 + 75 = -3*l. Let o = l - -27. Put -3, 2, o in descending order.
2, -3, o
Let u = 3.93 + 0.07. Let v(r) = 4*r**3 - 12*r**2 - 3*r + 8. Let g be v(3). Sort g, u, -0.5 in ascending order.
g, -0.5, u
Let r = -507/7 + 72. Sort 1/4, -1, r, 6/11 in increasing order.
-1, r, 1/4, 6/11
Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
3*h + 22
What is the y'th term of -3735, -14493, -32255, -57003, -88719?
3*y**3 - 3520*y**2 - 219*y + 1
What is the b'th term of -1775, -3478, -5087, -6560, -7855, -8930, -9743, -10252?
7*b**3 + 5*b**2 - 1767*b - 20
What is the b'th term of 280, 2117, 5182, 9481, 15020, 21805?
b**3 + 608*b**2 + 6*b - 335
What is the d'th term of -11642, -11512, -11392, -11288, -11206, -11152, -11132, -11152?
-d**3 + d**2 + 134*d - 11776
What is the u'th term of -259, -2171, -7269, -17143, -33383, -57579, -91321?
-265*u**3 - 3*u**2 - 48*u + 57
What is the a'th term of -10089, -7669, -5249?
2420*a - 12509
What is the j'th term of -369513, -369464, -369383, -369270, -369125, -368948, -368739?
16*j**2 + j - 369530
What is the p'th term of 1768507637, 1768507639, 1768507643, 1768507649, 1768507657, 1768507667?
p**2 - p + 1768507637
What is the k'th term of 231, 5, -1147, -3687, -8077, -14779, -24255, -36967?
-77*k**3 - k**2 + 316*k - 7
What is the s'th term of -13540780, -27081561, -40622342, -54163123?
-13540781*s + 1
What is the k'th term of 13005, 26215, 39425, 52635?
13210*k - 205
What is the s'th term of 391915, 1569355, 3531753, 6279109, 9811423, 14128695?
392479*s**2 + 3*s - 567
What is the j'th term of 1408, 1524, 1856, 2404, 3168?
108*j**2 - 208*j + 1508
What is the p'th term of -4845, 857, 6547, 12219, 17867, 23485, 29067, 34607?
-p**3 + 5709*p - 10553
What is the m'th term of -2766, -10961, -24656, -43881, -68666, -99041?
-5*m**3 - 2720*m**2 - 41
What is the x'th term of -22175, -20451, -18727, -17003, -15279, -13555?
1724*x - 23899
What is the l'th term of 5350, 10717, 16070, 21397, 26686, 31925, 37102?
-2*l**3 + 5*l**2 + 5366*l - 19
What is the g'th term of -2169154, -2169155, -2169156, -2169157, -2169158, -2169159?
-g - 2169153
What is the q'th term of 4833, 16748, 35743, 61818, 94973, 135208, 182523?
3540*q**2 + 1295*q - 2
What is the j'th term of -183279, -183212, -183145?
67*j - 183346
What is the j'th term of 61638, 122933, 183872, 244449, 304658?
-j**3 - 172*j**2 + 61818*j - 7
What is the t'th term of 910419, 910453, 910549, 910737, 911047, 911509, 912153, 913009?
5*t**3 + t**2 - 4*t + 910417
What is the q'th term of -1217300309, -1217300310, -1217300311, -1217300312?
-q - 1217300308
What is the x'th term of 240629, 481514, 722399, 963284?
240885*x - 256
What is the g'th term of -176533, -176264, -175995?
269*g - 176802
What is the t'th term of -117361, -234715, -352055, -469375, -586669, -703931, -821155, -938335?
t**3 + t**2 - 117364*t + 1
What is the h'th term of 4715283, 9430619, 14145955, 18861291, 23576627?
4715336*h - 53
What is the j'th term of -11706, -11895, -12210, -12651, -13218?
-63*j**2 - 11643
What is the g'th term of 3446, 6358, 8742, 10598, 11926, 12726?
-264*g**2 + 3704*g + 6
What is the j'th term of 7430, 32221, 74408, 133991, 210970, 305345, 417116?
8698*j**2 - 1303*j + 35
What is the u'th term of 14342, 114873, 387818, 919409, 1795878, 3103457, 4928378, 7356873?
14372*u**3 - 25*u**2 + 2*u - 7
What is the x'th term of -219, -356, -345, -114, 409, 1296?
12*x**3 + 2*x**2 - 227*x - 6
What is the o'th term of -29859, -59752, -89645, -119538, -149431, -179324?
-29893*o + 34
What is the o'th term of 26058246, 52116498, 78174750?
26058252*o - 6
What is the l'th term of -193815, -387673, -581531, -775389?
-193858*l + 43
What is the l'th term of 1504770, 1504251, 1503732?
-519*l + 1505289
What is the r'th term of 108289308, 216578615, 324867922, 433157229, 541446536, 649735843?
108289307*r + 1
What is the m'th term of -31661872, -63323748, -94985624?
-31661876*m + 4
What is the l'th term of -357981977, -357981976, -357981975, -357981974, -357981973, -357981972?
l - 357981978
What is the j'th term of 189108, 378233, 567360, 756489, 945620, 1134753?
j**2 + 189122*j - 15
What is the i'th term of 3287, 10755, 18223, 25691, 33159, 40627?
7468*i - 4181
What is the m'th term of -328337, -656854, -985561, -1314464, -1643569, -1972882?
-m**3 - 89*m**2 - 328243*m - 4
What is the n'th term of 32691, 32226, 31789, 31380, 30999, 30646?
14*n**2 - 507*n + 33184
What is the z'th term of 374, 236, -140, -880, -2110, -3956, -6544?
-21*z**3 + 7*z**2 - 12*z + 400
What is the l'th term of 34535, 137978, 310381, 551744, 862067, 1241350?
34480*l**2 + 3*l + 52
What is the h'th term of -4751, -6915, -10513, -15539, -21987, -29851?
h**3 - 723*h**2 - 2*h - 4027
What is the l'th term of 256939, 513897, 770855, 1027813, 1284771, 1541729?
256958*l - 19
What is the r'th term of -10032287, -40129189, -90290693, -160516799?
-10032301*r**2 + r + 13
What is the q'th term of -24327392, -48654816, -72982240, -97309664?
-24327424*q + 32
What is the y'th term of 22384308, 22384309, 22384310, 22384311, 22384312, 22384313?
y + 22384307
What is the u'th term of -5030, -19149, -42358, -74657, -116046, -166525, -226094?
-4545*u**2 - 484*u - 1
What is the f'th term of -423390661, -846781324, -1270171987, -1693562650, -2116953313, -2540343976?
-423390663*f + 2
What is the v'th term of -4596299, -9192681, -13789063, -18385445, -22981827?
-4596382*v + 83
What is the t'th term of 226616, 906425, 2039432, 3625637, 5665040?
226599*t**2 + 12*t + 5
What is the f'th term of -2522330, -2522234, -2522138, -2522042, -2521946, -2521850?
96*f - 2522426
What is the z'th term of -193609, -387201, -580791, -774379?
z**2 - 193595*z - 15
What is the l'th term of 309027, 618023, 927019, 1236015, 1545011?
308996*l + 31
What is the b'th term of 46091218, 46091216, 46091212, 46091206, 46091198?
-b**2 + b + 46091218
What is the j'th term of -14578116, -14578118, -14578120, -14578122, -14578124?
-2*j - 14578114
What is the h'th term of 70774, 70780, 70790, 70804, 70822?
2*h**2 + 70772
What is the b'th term of -6481, -6477, -6477, -6487, -6513, -6561?
-b**3 + 4*b**2 - b - 6483
What is the g'th term of 259341, 1037361, 2334055, 4149417, 6483441, 9336121, 12707451?
-g**3 + 259343*g**2 - 2*g + 1
What is the b'th term of 11980, 13660, 15340, 17020, 18700, 20380?
1680*b + 10300
What is the v'th term of 2135994, 4271988, 6407982, 8543976?
2135994*v
What is the p'th term of -493816, -493828, -493840, -493852, -493864, -493876?
-12*p - 493804
What is the w'th term of 65926, 131893, 197860, 263827?
65967*w - 41
What is the c'th term of 754670, 1509345, 2264024, 3018707?
2*c**2 + 754669*c - 1
What is the u'th term of -138026298, -138026305, -138026322, -138026355, -138026410, -138026493?
-u**3 + u**2 - 3*u - 138026295
What is the j'th term of -102, 51, 562, 1527, 3042?
16*j**3 + 83*j**2 - 208*j + 7
What is the d'th term of 808, 697, 480, 157, -272, -807?
-53*d**2 + 48*d + 813
What is the g'th term of 607607, 607735, 607865, 607997, 608131?
g**2 + 125*g + 607481
What is the r'th term of 8678, 69372, 234078, 554792, 1083510, 1872228, 2972942, 4437648?
8666*r**3 + 10*r**2 + 2*r
What is the m'th term of -14172, -28272, -42266, -56148, -69912, -83552?
m**3 + 47*m**2 - 14248*m + 28
What is the h'th term of -3115, -3212, -3387, -3640, -3971, -4380?
-39*h**2 + 20*h - 3096
What is the h'th term of 110232, 220870, 331520, 442188, 552880, 663602?
h**3 + 110631*h - 400
What is the w'th term of -1385978, -1385966, -1385932, -1385864, -1385750, -1385578, -1385336, -1385012?
2*w**3 - w**2 + w - 1385980
What is the u'th term of -3310, 457, 4224, 7991, 11758, 15525?
3767*u - 7077
What is the x'th term of -5766, -7044, -8322?
-1278*x - 4488
What is the j'th term of -44605, -89230, -133827, -178384, -222889, -267330, -311695, -355972?
2*j**3 + 2*j**2 - 44645*j + 36
What is the z'th term of 412174, 412192, 412216, 412246, 412282, 412324, 412372?
3*z**2 + 9*z + 412162
What is the n'th term of -523, -2276, -5181, -9238, -14447, -20808?
-576*n**2 - 25*n + 78
What is the i'th term of -246603, -246606, -246609, -246612?
-3*i - 246600
What is the h'th term of 928461, 928466, 928459, 928434, 928385, 928306?
-h**3 + 12*h + 928450
What is the k'th term of 9971, 18643, 27315, 35987?
8672*k + 1299
What is the o'th term of -326460, -652926, -979392, -1305858, -1632324, -1958790?
-326466*o + 6
What is the s'th term of -1872996, -1872999, -1873002, -1873005, -1873008, -1873011?
-3*s - 1872993
What is the a'th term of -458161583, -458161584, -458161585, -458161586, -458161587, -458161588?
-a - 458161582
What is the j'th term of -22267, -44347,
|
{
"pile_set_name": "DM Mathematics"
}
|
/100 and 1/58780.
293900
What is the smallest common multiple of 675 and 9585?
47925
Find the common denominator of 23/464672 and 103/87126.
1394016
Calculate the smallest common multiple of 9 and 508161.
1524483
Find the common denominator of 23/3444 and -1/96.
27552
What is the lowest common multiple of 29205 and 12980?
116820
What is the common denominator of -53/1957 and -67/152?
15656
What is the common denominator of -67/40 and -97/18375?
147000
What is the lowest common multiple of 129118 and 58690?
645590
Calculate the least common multiple of 56 and 434224.
434224
What is the common denominator of 125/952 and -15/6664?
6664
Find the common denominator of -29/113528 and -21/3358.
8287544
What is the common denominator of 64/57 and -4/5745?
109155
What is the common denominator of -41/2521 and 61/118?
297478
Find the common denominator of -179/3300 and -67/440.
6600
Find the common denominator of -2/245 and 6/7105.
7105
Find the common denominator of 25/2121 and 25/808.
16968
Calculate the least common multiple of 18606 and 65121.
130242
What is the smallest common multiple of 108 and 27738?
166428
Calculate the smallest common multiple of 118321 and 6.
709926
What is the common denominator of 167/95580 and -137/39294?
3536460
Find the common denominator of 69/32 and 17/912.
1824
Find the common denominator of -67/21180 and -42/13.
275340
Calculate the least common multiple of 49 and 328881.
2302167
Calculate the common denominator of -17/689772 and 41/172443.
689772
Calculate the common denominator of -21/26122 and 65/2.
26122
What is the smallest common multiple of 34625 and 11?
380875
What is the lowest common multiple of 5274 and 9962?
89658
What is the least common multiple of 1113 and 428346?
2998422
Find the common denominator of -115/468 and -29/24180.
72540
Calculate the common denominator of 23/1071 and 27/70.
10710
Calculate the least common multiple of 434 and 25854.
180978
What is the smallest common multiple of 11 and 648799?
7136789
Find the common denominator of -11/297090 and -44/345.
6833070
What is the common denominator of -43/375700 and 29/11050?
375700
Calculate the least common multiple of 23808 and 43648.
261888
What is the common denominator of 109/2590 and 13/168?
31080
What is the lowest common multiple of 58366 and 77?
58366
Calculate the common denominator of -89/12446 and -3/28448.
199136
What is the least common multiple of 47448 and 484?
5741208
What is the common denominator of 81/51568 and 95/616?
360976
Calculate the smallest common multiple of 1914 and 329556.
3625116
What is the common denominator of 4/389917 and -32?
389917
What is the lowest common multiple of 43230 and 100870?
302610
What is the common denominator of -157/145278 and -7/62262?
435834
Calculate the common denominator of 121/11340 and -1/2340.
147420
Calculate the smallest common multiple of 178281 and 145266.
3922182
What is the common denominator of -49/792 and 109/51678?
206712
What is the lowest common multiple of 127020 and 180?
381060
What is the least common multiple of 16585 and 6420?
199020
Calculate the common denominator of 64/17721 and -59/9845.
88605
Calculate the least common multiple of 24 and 376920.
376920
What is the least common multiple of 1200 and 36960?
184800
Calculate the common denominator of 19/35756 and 23/66404.
464828
Calculate the common denominator of 45/1077664 and -79/4352.
8621312
What is the common denominator of 3/176 and 65/43384?
86768
What is the common denominator of -9/6994 and 7/1378?
370682
Calculate the lowest common multiple of 67580 and 436.
67580
Calculate the common denominator of 29/96 and -127/20850.
333600
Calculate the smallest common multiple of 14 and 10428.
72996
What is the smallest common multiple of 175 and 35?
175
Calculate the common denominator of 79/54 and -55/30429.
60858
Calculate the least common multiple of 72 and 637842.
7654104
Find the common denominator of 115/25284 and -41/14.
25284
Find the common denominator of -71/2835 and -157/42.
5670
Calculate the smallest common multiple of 139928 and 244874.
979496
What is the common denominator of -31/11920 and -109/16688?
83440
What is the least common multiple of 234 and 25461?
661986
Calculate the common denominator of -107/6402 and -53/60528.
665808
What is the common denominator of -155/138 and 49/402?
9246
What is the least common multiple of 110 and 24510?
269610
What is the least common multiple of 15 and 44565?
44565
Calculate the lowest common multiple of 187 and 14789.
2765543
Find the common denominator of -37/300 and 191/97470.
974700
What is the least common multiple of 5882 and 329392?
329392
Calculate the smallest common multiple of 672 and 4928.
14784
What is the common denominator of 1/434106 and -97/289404?
868212
Calculate the common denominator of -157/107880 and 97/53940.
107880
Find the common denominator of 53/2400 and -119/50.
2400
Calculate the least common multiple of 690 and 28934.
434010
Find the common denominator of 43/26057 and -8.
26057
Calculate the least common multiple of 2032 and 3944.
1001776
What is the common denominator of -5/1366 and -23/534?
364722
What is the common denominator of -63/5 and -53/1511750?
1511750
What is the common denominator of -65/633426 and 52/18051?
6967686
Calculate the lowest common multiple of 2 and 56398.
56398
What is the common denominator of -13/2 and 61/5041238?
5041238
Find the common denominator of 71/4410 and 101/7380.
361620
What is the lowest common multiple of 221307 and 9351?
663921
Calculate the smallest common multiple of 64 and 123120.
492480
Calculate the common denominator of 227/12180 and -157/210.
12180
Calculate the common denominator of -15/1358 and 149/18312.
1776264
Calculate the lowest common multiple of 75 and 4839.
120975
Calculate the common denominator of 103/320 and -61/1856.
9280
What is the common denominator of 70/367533 and -133/24?
2940264
What is the common denominator of -149/798 and -23/106?
42294
Calculate the common denominator of 40/1146649 and -29/234010.
11466490
Find the common denominator of -1/5508 and 41/9639.
38556
Calculate the smallest common multiple of 70 and 613.
42910
Find the common denominator of 29/12648 and -41/2023.
1505112
What is the lowest common multiple of 1655 and 40?
13240
Find the common denominator of -48/1833329 and -38/7.
12833303
Find the common denominator of -47/57464 and -43/44.
57464
Calculate the common denominator of -7/99070 and 43/5.
99070
Calculate the common denominator of -91/1104 and 149/3864.
7728
Calculate the least common multiple of 72272 and 27102.
216816
Calculate the lowest common multiple of 414 and 276.
828
Calculate the least common multiple of 49812 and 40.
498120
Calculate the common denominator of -89/21945 and 109/149226.
746130
Calculate the smallest common multiple of 23845 and 171.
214605
Find the common denominator of -45/64823 and -51/259292.
259292
What is the common denominator of -67/4 and 63/956938?
1913876
What is the least common multiple of 6258 and 5622?
5863746
What is the smallest common multiple of 10 and 2659348?
13296740
Calculate the least common multiple of 16100 and 1196.
209300
What is the common denominator of 20/54309 and 13/774?
325854
What is the common denominator of 83/52048 and -19/1203610?
9628880
Find the common denominator of -34/6063 and -40/543.
1097403
Find the common denominator of -43/697 and -3/779.
13243
Find the common denominator of -47/568 and 73/38.
10792
What is the common denominator of -21/136 and 43/4024?
68408
Calculate the common denominator of -31/67 and 17/3064.
205288
Calculate the common denominator of 49/7249 and -17/15157.
166727
What is the common denominator of -29/193869 and 143/6?
387738
Calculate the common denominator of -19/14712 and -31/153.
750312
What is the least common multiple of 1200 and 58500?
234000
What is the lowest common multiple of 1449 and 1683?
270963
Calculate the smallest common multiple of 106972 and 1128.
641832
What is the smallest common multiple of 621 and 263649?
2372841
Find the common denominator of 64/7329 and 137/168.
58632
What is the least common multiple of 1584 and 48?
1584
What is the lowest common multiple of 10 and 2607?
26070
Calculate the common denominator of
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -16. Let q = g - -10.1. Let b = 20.9 + -16.9. What is the third biggest value in -1/4, q, b?
-1/4
Let k = -43718/5 - -8743. What is the second smallest value in 2/7, k, -2/25?
-2/25
Let q = 3.9626 - 3.5626. What is the fourth smallest value in q, 1, 16, 0?
16
Let w = -1794.1 + 1794.2. Which is the second biggest value? (a) 0 (b) -0.1 (c) w (d) 13.6
c
Let g = 0.01 + -0.12. Let y = 16 + 2. Suppose 2*n + 4 = -x, -x + 5*n = 1 - y. Which is the third smallest value? (a) x (b) 1/2 (c) g
a
Let g = -668/715 + -84/55. Let u = 51/26 + g. Which is the smallest value? (a) -1/88 (b) u (c) -2
c
Let g = 0.84 + 0.01. Let q = 0.607 + 0.043. Let c = g - q. What is the fourth biggest value in 3/2, 3/8, c, -0.06?
-0.06
Let h = 2/153 - -292/1071. Let p = 1831 + -1833. What is the second smallest value in 9, -3, h, p?
p
Suppose 3*w + 4*r + 172 = 796, 4*w = -r + 819. Let z = w + -2650/13. Which is the second smallest value? (a) -0.01 (b) z (c) -1
a
Let g = -16.1 + 5.2. Let w = -20.9 - g. What is the biggest value in -0.8, 5, w, 0.3?
5
Let t(q) = -2*q**2 + 5*q + 6. Let a be t(6). Let g = a - -538/15. Let h = -10 - -9.6. What is the second smallest value in -0.3, g, h?
-0.3
Let d = -1.68291 + -0.01709. Which is the biggest value? (a) 15/13 (b) -2 (c) d
a
Let l = 15975.1 - 15975. What is the fifth smallest value in -2, -1, 0, 9, l?
9
Let q be (-6)/(-36) + (-3)/18 + 2. Let s = -1 + 34. Which is the second smallest value? (a) 2/7 (b) q (c) s
b
Suppose 3*j - 3*s - 48 = 0, -4*j - 5*s = -3*s - 40. Suppose 0 = -3*w + 4 + 5, -w = -3*h + j. Which is the second biggest value? (a) h (b) -0.15 (c) -3 (d) 1
d
Let z = 3517 + -3514.142. Let x = z + 0.142. Which is the third biggest value? (a) x (b) 5/3 (c) 4/7
c
Suppose 0 = -0*r - r + 8. Let a = -87.25 + 87.25. Let k = -1395/11 + 127. What is the third smallest value in k, r, a?
r
Let m be 22/(-6) + (-2)/6. Let q = 11 - 6. Let o = 9.86 - 9.76. Which is the second smallest value? (a) q (b) o (c) -0.3 (d) m
c
Let w = -1.9318 + 1.2318. Which is the third smallest value? (a) 2/9 (b) w (c) -12.7
a
Let a(r) = -3*r**3 + r. Let q be a(-1). Suppose 78 - 197 = 466*u + 813. What is the second biggest value in q, -63, u?
u
Suppose -19*g + 4785 = 4766. Let w = -1 - -1. What is the smallest value in w, 37, 5, g?
w
Let r = 521 + -827. Let t = r - -302. Let f be -1 - ((-5)/3 + 0). Which is the fourth smallest value? (a) 2/7 (b) t (c) f (d) 7
d
Let s be (6/(-8))/(1/3 + (-2555)/1752). What is the second biggest value in 5, 112/13, s?
5
Let p = 7296 + -7293. Let o be 1 + 2/(-6)*2. Which is the second smallest value? (a) p (b) -0.08 (c) o
c
Let a(h) = -h**2 - 20*h - 19. Let f be a(-19). Suppose -9*w + 20 - 29 = f. What is the third smallest value in -10.7, w, -5/3?
w
Let o = -8 + 13. Suppose -2*w = -5*g - 25, -4*w + 2*w + 2*g + 10 = 0. Suppose 6*i + 0 + 24 = w. Which is the smallest value? (a) o (b) 1 (c) i (d) 3/4
c
Suppose 0 = 541*z - 420*z + 363. Let q = -578/9 + 64. Which is the third smallest value? (a) -0.4 (b) 1 (c) z (d) q
d
Let o(z) = -z**2 + 6*z - 5. Let y be o(6). Let v = 411 - 409. Suppose 7*f - 16 + v = 0. Which is the fourth smallest value? (a) y (b) 5 (c) f (d) 0.4
b
Suppose 8*a - 146 = 142. Let r be a/(-9) - 3/((-54)/76). Let p be (-8)/(-5) - (-4)/10. What is the smallest value in r, p, 7, 1?
r
Let c be ((-48)/36)/(1/18). Let i be -12*8/c*(-1)/22. What is the fourth smallest value in 0.17, -1, i, 2?
2
Let l = 178564 + -178564.2. Let p = 12.68 + 0.32. Which is the biggest value? (a) 0.1 (b) p (c) l
b
Let t(h) = h**2 + 2. Let w be t(0). Let u = 784.43 + -780. Let x = -0.43 + u. What is the second smallest value in w, x, -4?
w
Let w be (-5 + (-386)/(-78))/((11270/(-15))/(-7)). What is the second smallest value in 0.1, w, 0.4?
0.1
Let n = -8573.934 + 8574. Which is the biggest value? (a) 1 (b) n (c) -26 (d) -2
a
Let a = -6.1 - -5.6. Let d = 17 - 13. Suppose -k - d = -5*k. What is the third smallest value in -0.08, a, -3/4, k?
-0.08
Let y(u) = 2*u**2 - 58*u + 60. Let d be y(28). Suppose -w + d = -8*i + 11*i, -2*i + 5 = 3*w. What is the biggest value in -2, -1/21, -1/2, i?
i
Suppose 0 = -34*k - 9 - 18 - 41. What is the smallest value in -692.2, k, 2/9?
-692.2
Let m = 198/35 - 29/5. Let g = -16 + 23. Which is the smallest value? (a) g (b) m (c) -1/5
c
Let o be 28/10*45/7*156/702. Which is the second smallest value? (a) 0.6 (b) -42 (c) 5/8 (d) o
a
Let g = -21 - -20.5. Let v = -1/205 - -427/3485. Let u = -41 - -41.1. What is the smallest value in u, g, v, -1/5?
g
Let i = 10811 - 6197. Which is the biggest value? (a) 0.2 (b) -2/7 (c) i
c
Suppose 4*h - 3*f + 479 = 0, 0 = 4*h - 6*f + 8*f + 454. Let t = h - -112. What is the third biggest value in 6, 2/13, -0.4, t?
-0.4
Let m = 4 + -60. Let g be ((-81)/(-72))/(3/(-148)). Let u = g - m. What is the second biggest value in u, -0.4, 1/5?
1/5
Let r be ((-2)/(-4)*3)/(-38 + 5134/136). What is the third smallest value in 1, 2, -1.3, r?
1
Let r = 0.0446 + -8.0446. Let m = 0 + r. What is the second biggest value in -1/2, 0.2, m?
-1/2
Let x be ((-1)/6)/((-2)/6). Let h = 249 - 241. Let f be (h/20)/(-1)*8 + 3. Which is the fourth biggest value? (a) x (b) -0.1 (c) -6 (d) f
c
Let v = 1.88793 - -0.11207. Let h(r) = -6*r - 2. Let f be h(3). What is the fourth biggest value in 1, v, 0.1, f?
f
Let c(j) = j**3 - 50*j**2 + 223*j + 10. Let m be c(5). Let w = 3 + 1. What is the third smallest value in m, 0.5, w?
w
Let s = -462 - -634.5. Let b = s + -173. Let p be (-2)/(-6)*(-6)/5. What is the biggest value in b, p, -11?
p
Let j = 11 + -7. Let q = 34.3 + -34. Let l be (16/20)/(62/5). Which is the smallest value? (a) q (b) l (c) j
b
Let q = -3673 - -3691. Which is the second biggest value? (a) 1 (b) 5 (c) q (d) 2
b
Let r = 939/5 - 937/5. What is the third biggest value in 5, r, -5, -136, -2/3?
-2/3
Let h = -22 + 24.3. Let m = h + 0.7. Let u(t) = t**3 - 4*t**2 - 3*t - 5. Let n be u(5). What is the second smallest value in n, 3/7, m?
m
Let r = 1989 - 1989. What is the fourth smallest value in r, 1/4, -1/5, 5/3?
5/3
Let i = -85/273 + -2/91. Let v be 2331/(-1884) + 65/52. What is the biggest value in -4/3, v, i?
v
Let n = 0.558 - 0.558. Which is the third biggest value? (a) -1/5 (b) -9 (c) n (d) 1/2
a
Let i = 100/3 + -694/21. Let u = 8.7 + -10. Let n = 2.3 + u. Which is the biggest value? (a) -4 (b) i (c) n
c
Let r = -1675 - -1673. Let s(n) = n**3 - 4*n**2 + 5*n - 4. Let w be s(3). What is the smallest value in -3, r, w?
-3
Let o = -0.693 + 1.093. Which is the second smallest value? (a) o (b) -27 (c) 2/3 (d) 1/6 (e) -2/15
e
Let h = -412 + 428. Suppose 0 = x + 5*i + 11, 5*i = -0*x + 5*x - 5. Let k be -2 + x + (-18)/(-8). Which is the second biggest value? (a) k (b) h (c) 6/5
c
Let t(d) = -710*d - 3549. Let u be t(-5). What is the third biggest value in -0.144, u, -2.4?
-2.4
Let g = 27.624 + -0.124. Let j = 3.5 - g. Let s = 27 + j. What is the third biggest value in s, 0.2, 0.4?
0.2
Suppose 40*f = 18*f + 1562. Let l = f - 211/3. Let x = 39/5 - 93/10. Which is the biggest value? (a) x (b) l (c) -1/2
b
Let m = 1 - 2.2. Let p = m - -1. Let z = 0.362519 + -0.222519. What is the biggest value in p, 3, z, 0.4?
3
Let n = -1 + -1. Let x(i) = 688*i + 31650. Let p be x(-46). Which is the fourth biggest value? (a) n (b) -1/7 (c) p (d) -15
d
Let f be (-11864)/32 + 6/(-3). Let p = 373 + f. Which is the biggest value? (a) p (b) 5 (c) -12
b
Suppose 37*k - 106*k - 1188 = -15*k. Which is the second smallest value? (a) 0.4 (b) k (c) 85
a
Let o be 85/15 + -5 - 187/51. Which is the third biggest value? (a) 1 (b) 1/15 (c) -5 (d) 1/4 (e) o
b
Let d = 20.948 + -21. Let w = d - 3.248. What is the third biggest value in w, -5, -3/5?
-5
Let v = -0.06976 - 0.93024. What is the fifth biggest value in v, 0.4, 4, -0.3, -2/57?
v
Suppose 0 = 3*b - 5*b - 10. Let m = -0.02884 + 4.97984. Let a = 0.049 + m. What is the third biggest value in -7, b, a?
-7
Let f = 205/2 + -100. Let s = 46/153 + -7/17. Which is the second biggest value? (a) f (b) s (c) 4/3
c
Let n = 20.96 - 0.96. Let a = -32.4 - -32.2. What is the second biggest value in a, n, 5?
5
Let x = 13236.879 - 13237. Let q = -2.981 + 2.86. Let o = x - q. What is the third biggest value in
|
{
"pile_set_name": "DM Mathematics"
}
|
0, -4, -0.09?
0
Which is the closest to -1? (a) -24 (b) 0.6 (c) -5 (d) -1
d
What is the nearest to -1 in 9, 3/5, 4/27?
4/27
Which is the nearest to 8? (a) -2 (b) 5 (c) 4 (d) -1/2
b
What is the closest to -2 in -5, -144, -0.2, 0.02?
-0.2
What is the closest to -1/2 in -4/7, -0.2, 6, 2/3?
-4/7
What is the closest to 2 in 0.3, 1.1, 58?
1.1
Which is the closest to -1.2? (a) 28 (b) -4 (c) 3
b
What is the closest to 0 in 2/79, 2, 1/5?
2/79
Which is the closest to 0? (a) -3 (b) 0 (c) 1/55
b
Which is the nearest to 0.051? (a) -4/7 (b) 0.3 (c) -0.4
b
Which is the closest to 2? (a) -20 (b) -4/7 (c) -0.1 (d) -1/3
c
What is the nearest to -2 in 2, 8, -14?
2
What is the nearest to -0.1 in 4, 2/9, 138, 2?
2/9
Which is the closest to -2? (a) -2 (b) -2/213 (c) -1
a
What is the nearest to 0 in 2, 1/2, -1/6, -0.3?
-1/6
Which is the nearest to -0.1? (a) -1.1 (b) 0.3 (c) 0.06
c
Which is the nearest to 2/3? (a) 2/5 (b) -9 (c) 2 (d) -3/4
a
What is the nearest to 3 in -2, -0.5, -38?
-0.5
Which is the nearest to -1/69? (a) -3/4 (b) -4 (c) -2/3
c
What is the closest to 0.4 in 0, -0.4, -1, 3/4?
3/4
What is the closest to -0.4 in 3, 0.4, -1/7, 5?
-1/7
Which is the closest to -41? (a) 1 (b) -2/7 (c) 0
b
What is the nearest to -2/5 in -2/7, -5, -1/13, 4?
-2/7
What is the closest to 0 in -33/2, 0.3, -1/4, 5?
-1/4
Which is the closest to 2/11? (a) 9 (b) -5 (c) -0.1 (d) -1/5
c
What is the closest to 2/9 in 5, 289, 2/3, 2/11?
2/11
Which is the closest to 1? (a) 3 (b) 1/39 (c) -4
b
What is the nearest to 1 in 3, -1/37, -5?
-1/37
Which is the closest to -2/9? (a) -29 (b) 4 (c) 0.036
c
What is the closest to -1 in -9, 5, 0, -1.1?
-1.1
Which is the closest to -4? (a) 0.069 (b) -2/7 (c) 4/7
b
Which is the nearest to 76? (a) 0 (b) 2/13 (c) -2
b
Which is the closest to 4? (a) 1/5 (b) -3/4 (c) 0.6
c
Which is the nearest to -2? (a) -4 (b) 0.5 (c) -0.18 (d) 4
c
Which is the closest to 2? (a) -5 (b) -91 (c) 0.1
c
Which is the nearest to 2? (a) -4/3 (b) 3 (c) 1/4
b
What is the closest to -1/2 in 1, 7/9, 0.07?
0.07
Which is the closest to -1? (a) 0.4 (b) 4 (c) 11
a
Which is the closest to 0? (a) 14 (b) -0.2 (c) 3
b
What is the closest to 0 in 50, 1/2, -0.4?
-0.4
What is the closest to 28 in -0.1, -2, 2/15?
2/15
Which is the closest to -3? (a) -0.4 (b) -5 (c) 6/7
b
Which is the closest to -30? (a) -6 (b) -1/4 (c) 2 (d) -1
a
Which is the closest to 9? (a) 0.5 (b) 10 (c) -1 (d) 2/3
b
Which is the closest to -0.1? (a) 5 (b) 0.4 (c) -10 (d) -34
b
What is the nearest to 0.1 in 4/9, -2, -423?
4/9
Which is the nearest to -1? (a) -9 (b) 4 (c) -4/13 (d) -1
d
Which is the closest to -11? (a) -7 (b) 1/6 (c) -0.1
a
What is the closest to -17 in -3, 2, 3, -1?
-3
Which is the nearest to -4? (a) -5 (b) 5 (c) -7
a
What is the nearest to -0.22 in -0.4, -1, 0.11?
-0.4
What is the nearest to 5 in -1, -0.01, 0.1?
0.1
Which is the closest to 0.1? (a) -5 (b) 4 (c) -2/5 (d) -1
c
Which is the nearest to 0.1? (a) 0.13 (b) -135 (c) -1/6
a
Which is the nearest to 2? (a) -2 (b) 2 (c) 3 (d) 0
b
What is the closest to -55 in -0.2, -1, 2/15, 1/6?
-1
Which is the closest to 1? (a) 0.2 (b) -4 (c) 0 (d) -2
a
Which is the nearest to -0.1? (a) 1/4 (b) -2/97 (c) -0.2 (d) -3
b
Which is the nearest to 2/5? (a) 7 (b) -4 (c) -6/7 (d) -3
c
What is the closest to 1 in -0.1, 18, 1, -2?
1
What is the nearest to 1 in 4/7, -1/6, -24, -5?
4/7
What is the nearest to -1 in 0.4, 0.2, -2/19, -13?
-2/19
Which is the nearest to 2.4? (a) -3/4 (b) -0.4 (c) -3/8 (d) -2
c
What is the nearest to -1 in 5/3, -5, 0.2, -300?
0.2
Which is the nearest to -1/3? (a) 5 (b) 992 (c) -0.2 (d) -2/3
c
What is the closest to 0.331 in -2, 3, 0.3?
0.3
Which is the closest to -1? (a) 0.2 (b) 0.09 (c) 6 (d) 4
b
Which is the closest to 1/3? (a) 2 (b) -1/4 (c) -0.3 (d) -0.2
d
Which is the closest to 0.1? (a) -1/4 (b) -3 (c) 1/40 (d) 0.1
d
Which is the nearest to -0.1? (a) 0 (b) -0.3 (c) -0.19 (d) -1/2
c
Which is the closest to 1? (a) 1.6 (b) -2 (c) -1.5
a
Which is the closest to -2/3? (a) -0.3 (b) 11 (c) -3 (d) 0.1
a
Which is the closest to -0.1? (a) 21/8 (b) 2/9 (c) -8
b
What is the closest to 0.5 in 0.1, -5, -1/4, 16?
0.1
Which is the closest to -2/5? (a) 16 (b) -0.4 (c) 20
b
Which is the nearest to -23? (a) 1/11 (b) 0.5 (c) 0
c
Which is the closest to -44? (a) 2/3 (b) -2/15 (c) 0 (d) -3/7
d
Which is the nearest to -5? (a) 0.2 (b) 3 (c) 0.01
c
Which is the closest to -0.3? (a) -0.5 (b) 18 (c) 5
a
Which is the closest to 16? (a) -0.5 (b) -3 (c) -1 (d) -0.2
d
Which is the nearest to 0? (a) 5 (b) -1/4 (c) 1
b
Which is the nearest to 74? (a) -4 (b) -2 (c) 1 (d) 2/19
c
What is the nearest to 3/4 in -6, 0.5, -0.1, -0.3?
0.5
What is the nearest to -0.1 in 3, 0.4, -2, -57.2?
0.4
Which is the nearest to -0.07? (a) 1/2 (b) 1/6 (c) 0.4
b
Which is the nearest to 1? (a) -16 (b) -14 (c) -2 (d) 0
d
What is the nearest to 0.47 in 1/11, 1/4, -3?
1/4
Which is the closest to 547? (a) -2/5 (b) 4 (c) -1/3
b
Which is the closest to 1.5? (a) -4 (b) -5 (c) -0.6 (d) 5
c
Which is the closest to 13? (a) -4 (b) -3 (c) 43
b
What is the nearest to 131 in -2, 1/7, -3, -1/7?
1/7
What is the closest to 14 in 0, -0.107, -0.1?
0
Which is the closest to -44/7? (a) 3/7 (b) -0.2 (c) -2/7
c
Which is the nearest to 0? (a) 0.15 (b) 5 (c) -192
a
Which is the nearest to -13? (a) 1 (b) -7 (c) 2 (d) -0.3
b
What is the nearest to -10 in 11, -0.06, 4?
-0.06
Which is the nearest to 0? (a) 1/22 (b) -0.3 (c) -4
a
Which is the closest to 1? (a) 3/4 (b) -0.4 (c) -2 (d) 2
a
What is the nearest to 1 in -0.039, -1, -0.1, 6?
-0.039
Which is the nearest to 0? (a) 3 (b) 2 (c) -1/3 (d) 138
c
What is the nearest to 0 in 6/5, -6, 3?
6/5
What is the closest to 1 in 0.2, 11, -0.5?
0.2
What is the nearest to 2/9 in -0.3, -2/23, -1, 4?
-2/23
Which is the nearest to 2/41? (a) 0.07 (b) 0.2 (c) 5/2 (d) -2
a
Which is the nearest to -0.1? (a) 0.04 (b) -260 (c) -2/5 (d) -2
a
What is the nearest to -2 in 0.2, 20/9, 5?
0.2
What is the nearest to -0.1 in 2/11, 3/2, 1, 0.037?
0.037
What is the nearest to 0.1 in -3, 3, -28, -0.1?
-0.1
Which is the nearest to -13? (a) -0.2 (b) -0.3 (c) 6
b
What is the nearest to 0 in -3/7, -5, -1/8, 1.9?
-1/8
What is the nearest to -4 in 0, 5, -2/11, 0.98?
-2/11
Which is the closest to -2/7? (a) -0.2 (b) -5 (c) -0.1 (d) -1
a
Which is the nearest to 2? (a) -1/2 (b) -0.4 (c) -0.3 (d) 0.1
d
What is the closest to 3 in 0.4, -16, 3/4?
3/4
What is the nearest to 1 in 0.1, -1/2, -2/37, 7?
0.1
Which is the nearest to -1? (a) 23 (b) 5 (c) 2/7
c
What is the closest to 0.2 in 0, 8, 2/35?
2/35
What is the nearest to 0.191 in -5, 4, 3?
3
Which is the closest to -2? (a) 2 (b) 4/45 (c) -3/4
c
What is the nearest to 0.1 in 0.44, 5, 4?
0.44
Which is the nearest to 0.1? (a) 1 (b) 39/2 (c) 0
c
Which is the nearest to 2/3? (a) 7 (b) 0.1 (c) -0.1
b
Which is the closest to -1/2? (a) 1/3 (b) -3 (c) -2 (d) -4
a
What is the closest to -0.1 in -2/3, -2, 64, 2/5?
2/5
What is the closest to -16 in -3, -5, -4, 0.1?
-5
What is the nearest to 2/5 in -0.03, 8, -1?
-0.03
What is the nearest to 0 in -0.33, -3, 4/7, 4?
-0.33
What is the nearest to -1138 in -1/3, -0.4, 2?
-0.4
What is the nearest to -19 in 4/3, -0.2, 2, 1?
-0.2
Which is the closest to -1/37? (a) -1/2 (b) -0.3 (c) -8
b
Which is the nearest to -2/11? (a) -7 (b) -3 (c) -3/4 (d) -5
c
What is the closest to 0.1 in 0, -4/7, -9, -1/12?
0
Which is the nearest to 14/3? (a) -0.4 (b) 4 (c) 1/3
b
What is the nearest to -0.1 in -172, 3, -2/3?
-2/3
What is the closest to -3/7 in 11, 0.04, -1/4?
-1/4
Which is the nearest to -1? (a) 24 (b) 2/11 (c) -0.07 (d) 4
c
Which is the closest to -2? (a) 0 (b) 1/4 (c) -0.4 (d) -1/6
c
What is the nearest to 2 in 4, 2, -0.1, 7/6?
2
Which is the closest to 0? (a) 0.5 (b) 0.1 (c) -5 (d) -0.4
b
What is the closest to -2 in 1/3, 4, -0.23, 3/2?
-0.23
Which is the closest to -0.1? (a) -5 (b) 28/5 (c) -2
c
Which is the closest to -0.7? (a) -1/2 (b) 3 (c) -3
a
Which is the nearest to -1? (a) -2/2411 (b) 3/8 (c) 4
a
What is the closest to -1/4 in 3, 0.3, -1/4, 7?
-1/4
Which is t
|
{
"pile_set_name": "DM Mathematics"
}
|
c) 0.5 (d) -1407/23
b
Which is the biggest value? (a) -12435 (b) 6244 (c) -3
b
What is the smallest value in -3051, 2/3, 1030/7, -2/3, -3?
-3051
What is the biggest value in -5, -0.2, -3, 0.104, 10, -7, 2/25?
10
Which is the fourth biggest value? (a) 0.5 (b) 3 (c) -552 (d) 2 (e) -7.2
e
What is the second smallest value in 1/6, -943, 3, -186, -5?
-186
What is the third biggest value in -121, 0.7, 2, 4.6, 1, 1/2, -5?
1
Which is the fourth smallest value? (a) -2 (b) 3/2 (c) 0.1 (d) 0.06 (e) -397 (f) 0
d
Which is the second smallest value? (a) 632 (b) -0.5 (c) 0.06 (d) -1.1 (e) 2 (f) 2/35
b
What is the fifth biggest value in 45, -411, -4, -5, 7?
-411
Which is the smallest value? (a) -25 (b) -0.1 (c) -19 (d) 6 (e) -2.152
a
Which is the second biggest value? (a) -0.13113 (b) 0.23 (c) -25/4
a
What is the second smallest value in 1, 95, 2/7, 3, 1.235, -4?
2/7
What is the second smallest value in -5, -11, 209467?
-5
What is the fourth smallest value in 20.813, 19, -2, 16?
20.813
Which is the fifth biggest value? (a) -5 (b) -0.32 (c) -7/2 (d) 0.8 (e) -98/3 (f) 0.4
a
Which is the biggest value? (a) -0.5 (b) 78 (c) 0.3 (d) 0 (e) -5 (f) -7 (g) -1/5
b
What is the second biggest value in -1, 112693, 3, -40?
3
What is the second biggest value in -0.0489, -67, -108?
-67
Which is the second smallest value? (a) 412 (b) 3/4 (c) -3 (d) -6208 (e) -2 (f) 1
c
Which is the fourth smallest value? (a) 0.3 (b) -1/6 (c) 97/7 (d) 4 (e) 37
c
What is the fourth biggest value in 3/5, 1/32, 0.01, 6, -9, 0.2, -0.4?
1/32
What is the smallest value in -5, 1/10, -0.4, 37500, -2, -4?
-5
What is the fifth biggest value in -1, -2, -23/2, -23, 0.05, -4.4?
-23/2
Which is the fifth biggest value? (a) -3/47 (b) 11/17 (c) -0.4 (d) -1/2 (e) 2
d
What is the second biggest value in 0.1312, -4/49, -16, -0.07?
-0.07
Which is the second smallest value? (a) -2 (b) -0.01 (c) 1/18 (d) 0.7 (e) -5 (f) 6/41
a
What is the third smallest value in 1/3, -147, 0.5, -119/4?
1/3
Which is the smallest value? (a) 0.3 (b) 2/29 (c) 4 (d) -0.1 (e) -3 (f) -44.05 (g) -5
f
Which is the fifth biggest value? (a) 391 (b) -13 (c) -1/2 (d) -1 (e) -0.2 (f) 1/197 (g) 5
c
What is the biggest value in 53, 3, -2/7, -3, 0.8, -1/7, 5?
53
What is the fourth smallest value in 3/2, 51698, -1/3, 3/13, 3/11, -0.1?
3/11
What is the second biggest value in 6/7, 0, 35152, 1?
1
What is the third biggest value in -2049, 6, -74?
-2049
What is the third smallest value in -0.1, 4, 1/4, -12.3799, -7?
-0.1
Which is the smallest value? (a) 0.119 (b) 265 (c) -0.3 (d) -2/5 (e) -4 (f) -5 (g) 0.4
f
Which is the second biggest value? (a) 0.059 (b) 4 (c) 110.1 (d) -0.2 (e) 2/9
b
What is the biggest value in 0.2, -2, -21, 32, 52, 0?
52
What is the fourth biggest value in 5, -71, 4, -1/25?
-71
Which is the sixth biggest value? (a) 1/4 (b) -0.02269 (c) -1/8 (d) 4 (e) -65 (f) 0
e
Which is the fifth biggest value? (a) 8 (b) 0.4 (c) 0.12 (d) -930 (e) -3 (f) 1/2
e
What is the sixth smallest value in -28/2539, 3, -3/4, 1/14, 5, 0?
5
Which is the second biggest value? (a) 0 (b) 5 (c) 3 (d) 0.162 (e) -23/102
c
Which is the fifth biggest value? (a) 3/83 (b) 2 (c) -2/303 (d) 0.4 (e) -29 (f) 3 (g) -5
c
What is the biggest value in 0.35, 3, 96694?
96694
Which is the biggest value? (a) 2/69 (b) -0.5 (c) 2/3 (d) 10 (e) 15 (f) -0.29 (g) 1
e
Which is the fifth smallest value? (a) -0.5 (b) 2 (c) 1/7 (d) -3/2 (e) -173762 (f) -0.4
c
Which is the third smallest value? (a) 0.2 (b) 12 (c) -32 (d) 2/9 (e) -11438
a
What is the smallest value in 5116, -2, 2/2621?
-2
Which is the biggest value? (a) 0.4 (b) 1352.5 (c) 1/2 (d) -0.3 (e) 2/9 (f) -17
b
Which is the fifth biggest value? (a) 150/109 (b) -2/3 (c) 0 (d) 14 (e) 6/5 (f) 1
c
Which is the biggest value? (a) 2 (b) -1698562 (c) -6/5
a
What is the third smallest value in -7271, -1.6, -6, -1/2, 0.5, 2?
-1.6
What is the third biggest value in 712/2355, 7, -1/4, 0.01?
0.01
Which is the seventh biggest value? (a) 1 (b) 4 (c) 6 (d) -0.5 (e) 350/107 (f) -0.1 (g) -1
g
What is the biggest value in 1, 0.2554, 4.6?
4.6
Which is the third smallest value? (a) 4.3 (b) 0.047507 (c) 3
a
What is the fifth smallest value in -2, 0.03, -1, -6/6053, -0.3?
0.03
What is the biggest value in 6, 5/2, 8451, 3/4, 4?
8451
Which is the sixth smallest value? (a) 23 (b) -1 (c) -2 (d) -3 (e) -1/2 (f) -9.32 (g) -1/8
g
Which is the third smallest value? (a) -41 (b) -0.2 (c) 12 (d) -4529
b
Which is the sixth biggest value? (a) 4 (b) 0 (c) -2 (d) -1.81 (e) 1/4 (f) -1.4 (g) 1
d
Which is the biggest value? (a) -1/155 (b) -130613 (c) -0.04 (d) -2
a
What is the second biggest value in -2, -4, 0, -1391665, 1.3?
0
What is the third smallest value in -4, 0.09028, -2, -0.015?
-0.015
Which is the second smallest value? (a) -4 (b) 0 (c) -51.2 (d) 1/11 (e) 1
a
What is the second biggest value in 1, -0.2, -4/3, 21/81685?
21/81685
What is the fourth biggest value in 22/5, 4, 48, -7/5?
-7/5
Which is the smallest value? (a) -21 (b) -1.1 (c) 20 (d) 0.1 (e) -40
e
Which is the smallest value? (a) 3/10 (b) 1064 (c) 1/4 (d) -4 (e) 1.8 (f) -3/2 (g) 0.02
d
Which is the second smallest value? (a) 2895707 (b) 1 (c) -0.2
b
What is the third biggest value in -1/6, -258, 2/21, 1, 5, 0.2, -5?
0.2
What is the third biggest value in -5, -2/21285, -9?
-9
Which is the second smallest value? (a) -4644 (b) -0.2 (c) 2.18
b
What is the fourth smallest value in -1/7, -1/10, -1, 5, -2/7, -0.4, 110/9?
-1/7
What is the fifth smallest value in 2, 18627, 2/9, 0.3, -8, 3?
3
Which is the smallest value? (a) 1 (b) -1/592 (c) -8 (d) 3/5 (e) -6/89
c
Which is the second biggest value? (a) -151 (b) -0.6 (c) -1/14 (d) -4 (e) -3/32
e
What is the third biggest value in -0.03, 21, 633, -1, 1/9, 0, 1/5?
1/5
What is the second biggest value in 5/3, 2, 128, 1968.2?
128
Which is the fourth biggest value? (a) -2/13 (b) 15807 (c) -3 (d) -280
d
What is the third smallest value in -94/15, 242, -4?
242
What is the smallest value in -0.324, 328, -0.34, 0.3?
-0.34
Which is the fourth biggest value? (a) -0.2 (b) -110 (c) 1072/9 (d) 0
b
What is the seventh smallest value in -5/6, 0.1, 2/19, -1, 6/221, 0.2, -2/5?
0.2
Which is the fifth biggest value? (a) -2 (b) -61 (c) 0.0129 (d) -0.1 (e) 0
b
What is the third biggest value in -31912, -6/17, 0.7?
-31912
Which is the second smallest value? (a) 2/59 (b) -0.4 (c) 1/3 (d) -7 (e) 0.3 (f) -39/4 (g) -1
d
Which is the smallest value? (a) -0.5 (b) 0.02 (c) 1.2 (d) -4 (e) 4 (f) 112 (g) 2
d
Which is the fifth biggest value? (a) 2 (b) -4/75 (c) 5 (d) -11/10 (e) -0.07 (f) 4/7
e
What is the fourth smallest value in 0.14, -1, -12, -4, 6/5, -5, 0?
-1
What is the fourth smallest value in 3, 1.4, -9008, 0.028, 2/3?
1.4
What is the second biggest value in 4/11, 0.06, -1/2, -8.7, 25?
4/11
Which is the sixth smallest value? (a) -1/6 (b) 17/3 (c) -0.072 (d) 3 (e) -1/2 (f) -1
b
Which is the biggest value? (a) -0.78 (b) -4/3 (c) 423
c
What is the second smallest value in 211, -2/5, -5569, -0.8?
-0.8
Which is the fifth smallest value? (a) 12 (b) -3 (c) 4 (d) 3/13 (e) -27 (f) 11
f
What is the biggest value in -2337.9, 3, -0.36, 11?
11
What is the second smallest value in 0.3, 4/3191407, -9, 5?
4/3191407
What is the smallest value in 2.3, 5/4, 2, -632, -0.1, 0, 5?
-632
What is the third smallest value in -5, -1/4, 22961649.9?
22961649.9
What is the third smallest value in -850, 142, -2, -1?
-1
Which is the third smallest value? (a) -3/7 (b) -19963 (c) 47
c
Which is the third biggest value? (a) -0.2 (b) 6.5183 (c) -2 (d) -1/8 (e) -4/7
a
Which is the fourth smallest value? (a) 2 (b) 98 (c) -119.2 (d) 3
b
Which is the smallest value? (a) 2/3 (b) -163 (c) -0.022 (d) 6.4 (e) 2 (f) 6
b
What is the second biggest value in 1, -5.3, -0.5, -3163, -4/11?
-4/11
What is the biggest value in 2/23, 106, -18, 1377?
1377
Which is the fourth smallest value? (a) 56 (b) -1.7 (c) -55 (d) -203 (e) 1/4 (f) -0.2
f
What is the fourth smallest value in 4/39, -4, -2/5, 3, -3, 0.5, -5/4?
-2/5
Which is the fifth biggest value? (a) 0 (b) -0.4 (
|
{
"pile_set_name": "DM Mathematics"
}
|
se 13) to base 12.
279
Convert -2123 (base 4) to base 2.
-10011011
-1110140 (base 5) to base 9
-28567
941 (base 10) to base 6
4205
Convert -10010111100 (base 2) to base 3.
-1122220
What is -c101 (base 15) in base 5?
-2300401
What is 13265 (base 7) in base 4?
313313
What is -841 (base 16) in base 7?
-6106
1411 (base 5) to base 8
347
Convert 15216 (base 7) to base 14.
177d
What is 124402 (base 5) in base 3?
20211100
Convert 16 (base 13) to base 16.
13
691 (base 12) to base 6
4301
What is -12e (base 15) in base 13?
-179
What is -10c3 (base 15) in base 16?
-de6
What is 16357 (base 8) in base 9?
11140
-2161 (base 10) to base 11
-1695
What is a37 (base 11) in base 8?
2342
What is 5b7 (base 12) in base 7?
2335
What is 1001100110 (base 2) in base 6?
2502
4b0 (base 14) to base 6
4202
What is -427 (base 9) in base 13?
-20b
-1212121 (base 4) to base 12
-3961
-a11 (base 16) to base 4
-220101
What is 122 (base 13) in base 11?
16a
Convert -654 (base 11) to base 4.
-30101
4506 (base 14) to base 15
3827
What is -258 (base 12) in base 2?
-101100100
What is -1de0 (base 15) in base 10?
-6510
3432 (base 11) to base 10
4512
Convert -1bcb (base 16) to base 4.
-1233023
What is -110000 (base 5) in base 14?
-151c
Convert -1206 (base 10) to base 16.
-4b6
What is 1210000 (base 3) in base 12?
900
What is -1011010 (base 2) in base 5?
-330
What is -4048 (base 9) in base 11?
-2251
What is 22011 (base 4) in base 11?
537
20415 (base 8) to base 5
232321
What is a28c (base 14) in base 13?
c956
Convert -5033 (base 11) to base 9.
-10154
10443 (base 5) to base 10
748
60407 (base 8) to base 15
755e
-321241 (base 5) to base 11
-8148
What is -16041 (base 9) in base 8?
-25334
What is 75 (base 8) in base 16?
3d
1110111010101 (base 2) to base 4
1313111
What is -1802 (base 15) in base 9?
-7082
Convert 101330 (base 4) to base 10.
1148
Convert 1124124 (base 5) to base 16.
503b
-3355 (base 8) to base 14
-909
Convert -3220 (base 13) to base 5.
-210310
What is 10240 (base 5) in base 14?
379
Convert 26 (base 15) to base 4.
210
Convert 11345 (base 6) to base 8.
3161
Convert -10212212 (base 3) to base 6.
-21035
Convert -2644 (base 7) to base 5.
-13022
What is 165d (base 14) in base 10?
4003
Convert 23656 (base 8) to base 10.
10158
Convert 110100110101101 (base 2) to base 13.
c410
6427 (base 10) to base 14
24b1
Convert -45c (base 14) to base 10.
-866
Convert -34 (base 15) to base 10.
-49
Convert -a10 (base 12) to base 13.
-879
What is -a95 (base 16) in base 11?
-2043
What is -85 (base 13) in base 5?
-414
c74 (base 13) to base 16
84b
Convert 124610 (base 7) to base 8.
55362
88 (base 13) to base 6
304
Convert -1005 (base 12) to base 11.
-1336
What is 21451 (base 9) in base 6?
145501
4147 (base 8) to base 16
867
What is -15 (base 11) in base 2?
-10000
What is -9629 (base 10) in base 3?
-111012122
What is 112 (base 16) in base 5?
2044
Convert 14 (base 7) to base 3.
102
Convert -333032 (base 4) to base 11.
-3049
-3673 (base 9) to base 3
-10202110
bbd (base 14) to base 10
2323
What is 8425 (base 11) in base 12?
655b
d83 (base 14) to base 15
bc8
-222102022 (base 3) to base 4
-10230323
What is 28602 (base 9) in base 8?
45762
Convert -15 (base 14) to base 11.
-18
14272 (base 8) to base 14
2442
-136 (base 11) to base 8
-240
-26583 (base 10) to base 15
-7d23
Convert -13021033 (base 4) to base 9.
-44124
Convert -529d (base 16) to base 10.
-21149
What is -2121 (base 5) in base 8?
-436
What is -2378 (base 11) in base 16?
-c26
Convert 3152 (base 7) to base 9.
1468
-b4a (base 14) to base 4
-202232
-10630 (base 7) to base 10
-2716
-11a54 (base 13) to base 2
-111111100000101
332321 (base 4) to base 13
1aa8
Convert -c79 (base 13) to base 4.
-201100
What is 31b (base 15) in base 13?
41c
-2c3 (base 14) to base 10
-563
-103144 (base 6) to base 9
-12571
6040 (base 7) to base 8
4046
-21110 (base 4) to base 10
-596
What is -89 (base 13) in base 9?
-135
Convert 62a (base 12) to base 7.
2422
Convert -401 (base 13) to base 10.
-677
What is -16421 (base 7) in base 5?
-122140
471 (base 16) to base 9
1503
101111101100 (base 2) to base 15
d87
Convert -149bd (base 14) to base 16.
-c87b
Convert -70 (base 9) to base 14.
-47
Convert 2112 (base 4) to base 5.
1100
Convert 1101010 (base 2) to base 15.
71
What is -81356 (base 9) in base 12?
-26b73
What is 9b59 (base 12) in base 11?
11a21
2373 (base 13) to base 12
2a83
Convert -931 (base 10) to base 15.
-421
What is -11011 (base 2) in base 10?
-27
Convert 1010032 (base 5) to base 3.
211022111
What is a0 (base 13) in base 12?
aa
What is -17 (base 13) in base 4?
-110
Convert 11465 (base 8) to base 4.
1030311
ad5 (base 14) to base 15
982
What is 22112 (base 3) in base 8?
346
Convert 511 (base 10) to base 14.
287
4438 (base 10) to base 7
15640
10140024 (base 5) to base 9
136811
What is -61106 (base 10) in base 4?
-32322302
Convert 33110 (base 6) to base 15.
1553
What is 10110001001011 (base 2) in base 4?
2301023
What is 1110111001101 (base 2) in base 12?
44b9
5873 (base 9) to base 7
15465
-8007 (base 9) to base 8
-13317
What is -10111211 (base 3) in base 13?
-121c
75 (base 11) to base 15
57
-11110100 (base 3) to base 7
-12321
Convert -402 (base 13) to base 10.
-678
-120010012 (base 3) to base 11
-830a
-2a89 (base 15) to base 16
-23a9
Convert -774 (base 14) to base 9.
-2017
-1463 (base 15) to base 4
-1010100
501105 (base 6) to base 3
1222200112
-1111101111111 (base 2) to base 6
-101155
What is 1011001100001 (base 2) in base 16?
1661
Convert -21222202 (base 3) to base 13.
-2861
7057 (base 14) to base 7
110140
-22aa3 (base 11) to base 13
-121b0
What is -3256 (base 9) in base 6?
-15040
-4110 (base 5) to base 9
-648
Convert -1632 (base 7) to base 10.
-660
Convert 18015 (base 12) to base 15.
a3a2
What is 5536 (base 11) in base 8?
16203
11753 (base 8) to base 3
20222212
What is 334214 (base 5) in base 16?
2e21
What is -682 (base 9) in base 2?
-1000110000
1962 (base 14) to base 6
33134
What is -146 (base 15) in base 14?
-16b
What is -92a8 (base 11) in base 7?
-50655
3ec (base 15) to base 3
1020020
What is 12834 (base 11) in base 6?
220432
-1c3b (base 14) to base 15
-17d4
Convert 497 (base 15) to base 8.
2022
-252 (base 15) to base 2
-1000001111
What is -511 (base 11) in base 9?
-755
What is -34337 (base 8) in base 15?
-44a9
Convert 4 (base 11) to base 12.
4
Convert 1110 (base 4) to base 11.
77
What is -2a574 (base 11) in base 12?
-21066
46463 (base 9) to base 11
21321
Convert 4155 (base 7) to base 11.
1109
Convert 20201022 (base 3) to base 11.
3750
Convert 201220122 (base 3) to base 5.
431031
-20a88 (base 11) to base 3
-1112221220
-2010133 (base 4) to base 8
-20437
Convert -1001101110000 (base 2) to base 15.
-171b
What is 72163 (base 9) in base 11?
32783
What is -503 (base 8) in base 3?
-102222
What is -ce0 (base 15) in base 7?
-11325
245532 (base 7) to base 9
68003
11100 (base 4) to base 5
2321
Convert 12423 (base 8) to base 11.
4065
Convert -421 (base 11) to base 13.
-300
Convert 12122000 (base 3) to base 13.
1b39
What is -31516 (base 9) in base 10?
-20832
1006 (base 7) to base 6
1341
Convert -134 (base 10) to base 14.
-98
-2939 (base 10) to base 8
-5573
1443301 (base 5) to base 2
111100101100100
What is -307 (base 9) in base 14?
-13c
What is 622 (base 13) in base 8?
2022
Convert 3240 (base 6) to base 14.
3b2
6705 (base 9) to base 16
1352
Convert 354 (base 8) to base 11.
1a5
Convert -cb0 (base 13) to base 3.
-2222102
What is -10132 (base 12) in base 16?
-51b6
Convert -598 (base 14) to base 12.
-78a
What is -1110 (base 9) in base 13?
-4b0
What is -296 (base 16) in base 15?
-2e2
5362 (base 7) to base 9
2547
-3260 (base 7) to base 6
-5225
Convert -1ed (base 15) to base 7.
-1210
-6113 (base 12) to base 13
-4a3a
What is -353330 (base 7) in base 13?
-22c61
What is 32443 (base 6) in base 9?
6140
1073 (base 16) to base 14
176b
Convert -6a (base 15) to base 14.
-72
What is 10332 (base 6) in base 2?
10110010000
-431231 (base 6) to base 8
-104743
What is 5734 (base 9) in base 11?
3208
1126 (base 9) to base 14
438
142105 (base 6) to base 10
13433
What is 1233 (base 15) in base 4?
330201
11010000111001 (base 2) to base 8
32071
-111101010 (base 2) to base 14
-270
Convert 341 (base 15) to base 8.
1340
-1101101001001 (base 2) to base 4
-1231021
-1425 (base 11) to base 9
-2466
Convert -10010010100 (base 2) t
|
{
"pile_set_name": "DM Mathematics"
}
|
3, b: 7}. What is prob of sequence bb?
7/15
Three letters picked without replacement from {f: 1, l: 9, p: 2, r: 1}. What is prob of sequence rll?
6/143
Three letters picked without replacement from kmlkjmkmmkmjkcjjjmtm. Give prob of sequence jmm.
7/228
Calculate prob of sequence kkk when three letters picked without replacement from {k: 3, w: 4}.
1/35
Four letters picked without replacement from qqqqqdqdqdqqqd. Give prob of sequence ddqq.
45/1001
Two letters picked without replacement from {a: 1, r: 1, h: 6, y: 1}. Give prob of sequence yh.
1/12
Three letters picked without replacement from {y: 7, o: 2, s: 5}. Give prob of sequence ssy.
5/78
What is prob of sequence aa when two letters picked without replacement from klkaknkkkokqallk?
1/120
What is prob of sequence zf when two letters picked without replacement from {o: 3, p: 1, s: 4, h: 6, f: 1, z: 5}?
1/76
Four letters picked without replacement from dbqddbqqqdqqb. Give prob of sequence bddb.
3/715
What is prob of sequence yyx when three letters picked without replacement from xxy?
0
Three letters picked without replacement from kzpkkkpkkpp. Give prob of sequence zkk.
1/33
Four letters picked without replacement from {y: 5, x: 5}. Give prob of sequence xyxx.
5/84
Two letters picked without replacement from ivvvi. What is prob of sequence vi?
3/10
What is prob of sequence ewk when three letters picked without replacement from {w: 3, e: 7, k: 4}?
1/26
Three letters picked without replacement from iouucucocouiuucuucu. Give prob of sequence ioi.
1/969
Calculate prob of sequence fyf when three letters picked without replacement from {f: 3, y: 8}.
8/165
Four letters picked without replacement from kkkszkzs. Give prob of sequence kskz.
1/35
Two letters picked without replacement from {z: 4, w: 16}. What is prob of sequence wz?
16/95
Three letters picked without replacement from {m: 1, o: 3, q: 5, r: 3}. Give prob of sequence ror.
3/220
Three letters picked without replacement from zqqqqqqqzqqqqqqzqqqq. Give prob of sequence qqq.
34/57
Three letters picked without replacement from {x: 4, j: 10}. Give prob of sequence xxj.
5/91
Two letters picked without replacement from vvbv. What is prob of sequence bv?
1/4
What is prob of sequence hhhe when four letters picked without replacement from {i: 1, e: 1, z: 1, j: 1, h: 3}?
1/140
What is prob of sequence oo when two letters picked without replacement from {t: 15, o: 5}?
1/19
Calculate prob of sequence tspt when four letters picked without replacement from {s: 4, p: 4, t: 7}.
4/195
Four letters picked without replacement from {t: 2, b: 1, x: 2, p: 1, f: 1, u: 1}. What is prob of sequence xuff?
0
What is prob of sequence qoz when three letters picked without replacement from {d: 5, z: 1, o: 1, q: 11, u: 2}?
11/6840
What is prob of sequence rrcc when four letters picked without replacement from rrrcrc?
1/15
Four letters picked without replacement from {l: 7}. Give prob of sequence llll.
1
Two letters picked without replacement from {g: 1, p: 1, n: 1}. What is prob of sequence pg?
1/6
Three letters picked without replacement from {c: 2, s: 1, m: 1, i: 2, a: 1, e: 1}. What is prob of sequence ise?
1/168
Two letters picked without replacement from {w: 1, p: 5, y: 14}. Give prob of sequence pp.
1/19
Four letters picked without replacement from kfxffffffxkokffkoff. What is prob of sequence fkfo?
55/5814
Calculate prob of sequence of when two letters picked without replacement from {s: 1, o: 5, v: 7, w: 3, f: 3}.
5/114
Four letters picked without replacement from zqkzqzzqz. Give prob of sequence zqkz.
5/252
Calculate prob of sequence lql when three letters picked without replacement from qlqqqqllqqqqqq.
11/364
Calculate prob of sequence mqa when three letters picked without replacement from jajqam.
1/60
Calculate prob of sequence all when three letters picked without replacement from aaaaasaaaalaalaaa.
7/1020
Two letters picked without replacement from gffogflffoagfxaxxxx. Give prob of sequence al.
1/171
What is prob of sequence ww when two letters picked without replacement from ywywwww?
10/21
What is prob of sequence aojb when four letters picked without replacement from albbloobooj?
1/660
Two letters picked without replacement from {x: 2, b: 4, h: 3, s: 7, i: 2}. What is prob of sequence hh?
1/51
Calculate prob of sequence qb when two letters picked without replacement from {f: 4, q: 1, b: 8}.
2/39
Two letters picked without replacement from {x: 6, n: 5, s: 6, d: 1}. Give prob of sequence sx.
2/17
Three letters picked without replacement from {g: 5, f: 3, j: 3}. What is prob of sequence fff?
1/165
What is prob of sequence ii when two letters picked without replacement from ggiiigiiii?
7/15
Three letters picked without replacement from xffnfxxxxnbxxf. Give prob of sequence xnx.
1/26
Two letters picked without replacement from {h: 2, z: 2}. Give prob of sequence hh.
1/6
Calculate prob of sequence qas when three letters picked without replacement from {j: 3, a: 1, z: 5, q: 3, s: 1, t: 1}.
1/728
Calculate prob of sequence qh when two letters picked without replacement from hhgqtq.
2/15
What is prob of sequence bdi when three letters picked without replacement from ddiab?
1/30
Four letters picked without replacement from {d: 6, b: 1, m: 2, c: 2}. Give prob of sequence bddc.
1/132
Calculate prob of sequence tt when two letters picked without replacement from ftgtffvtfcf.
3/55
Calculate prob of sequence qqq when three letters picked without replacement from {o: 3, t: 3, q: 7}.
35/286
Three letters picked without replacement from {s: 1, g: 1, d: 1, o: 1, r: 1, e: 2}. Give prob of sequence ego.
1/105
Four letters picked without replacement from xxxcccxccccxcccxccx. Give prob of sequence ccxx.
77/1292
Four letters picked without replacement from nggzgnnzgngzgzz. What is prob of sequence nngz?
1/91
What is prob of sequence nn when two letters picked without replacement from {n: 1, s: 7}?
0
Calculate prob of sequence dwkv when four letters picked without replacement from klkvkdvwwkvdvwvkkvl.
3/1292
Two letters picked without replacement from xxxxwxwxhsxxxxxww. What is prob of sequence xs?
11/272
What is prob of sequence prpr when four letters picked without replacement from purppppppppru?
6/715
Two letters picked without replacement from qlqirlhh. What is prob of sequence qq?
1/28
What is prob of sequence dix when three letters picked without replacement from {i: 3, y: 4, d: 2, o: 2, x: 2}?
1/143
What is prob of sequence nnnn when four letters picked without replacement from {n: 4}?
1
Three letters picked without replacement from yvvvvyvvvvvv. What is prob of sequence vyy?
1/66
Three letters picked without replacement from zzzxzzzxzzz. Give prob of sequence xzz.
8/55
Two letters picked without replacement from oieiiej. What is prob of sequence ei?
1/7
What is prob of sequence hh when two letters picked without replacement from lllhsshsjl?
1/45
What is prob of sequence cy when two letters picked without replacement from {r: 1, c: 1, j: 3, y: 3, f: 3}?
3/110
Three letters picked without replacement from wnwnwwnnwnwnwnww. Give prob of sequence nww.
3/20
Three letters picked without replacement from wwwwvkiwvuvyv. What is prob of sequence ykv?
1/429
Calculate prob of sequence zdrr when four letters picked without replacement from rrdrddzr.
3/140
Calculate prob of sequence ofo when three letters picked without replacement from ffloxffolx.
1/90
Two letters picked without replacement from {l: 5, q: 2, e: 2}. Give prob of sequence qq.
1/36
Calculate prob of sequence fs when two letters picked without replacement from sfffa.
3/20
Three letters picked without replacement from {x: 2, v: 1, c: 6, w: 4, l: 2, h: 3}. Give prob of sequence xvw.
1/612
Two letters picked without replacement from {u: 3, z: 3}. What is prob of sequence uu?
1/5
What is prob of sequence vgb when three letters picked without replacement from {g: 2, i: 11, v: 1, b: 5}?
5/2907
What is prob of sequence ugj when three letters picked without replacement from qgdjuudqdugu?
1/165
Two letters picked without replacement from qqmjqqqqjnsnqjqjq. Give prob of sequence jn.
1/34
Calculate prob of sequence www when three letters picked without replacement from wwwwwww.
1
Calculate prob of sequence hhf when three letters
|
{
"pile_set_name": "DM Mathematics"
}
|
o letters picked without replacement from {i: 1, c: 1, x: 1}?
1/3
Calculate prob of picking 2 f and 2 o when four letters picked without replacement from {o: 9, f: 5}.
360/1001
Three letters picked without replacement from jsjpsjpj. What is prob of picking 1 j and 2 s?
1/14
Two letters picked without replacement from {r: 1, k: 1, e: 2, h: 1}. Give prob of picking 2 e.
1/10
Two letters picked without replacement from {e: 3, x: 3}. What is prob of picking 2 e?
1/5
Three letters picked without replacement from nbbkxaxfa. What is prob of picking 2 b and 1 x?
1/42
Two letters picked without replacement from {x: 2, i: 2, y: 7, m: 2, b: 2}. Give prob of picking 1 i and 1 m.
4/105
Four letters picked without replacement from jxixjjjxxxi. What is prob of picking 2 i, 1 j, and 1 x?
2/33
Four letters picked without replacement from orxoxrroorrrororx. Give prob of picking 2 o, 1 x, and 1 r.
18/119
Three letters picked without replacement from aaxxxxxa. Give prob of picking 3 x.
5/28
What is prob of picking 1 k and 2 g when three letters picked without replacement from {m: 1, v: 1, k: 1, g: 4, y: 2}?
1/14
What is prob of picking 1 d and 3 q when four letters picked without replacement from kqkkdqdkdqdqkddqqdk?
35/969
Three letters picked without replacement from {n: 3, q: 4, l: 1, m: 3}. Give prob of picking 3 m.
1/165
Three letters picked without replacement from {x: 1, t: 1, k: 1, n: 5, w: 4}. What is prob of picking 1 x and 2 w?
3/110
Two letters picked without replacement from kkkokokpkkopokppo. What is prob of picking 1 k and 1 p?
4/17
Two letters picked without replacement from {y: 7, c: 2, e: 3, r: 5}. What is prob of picking 1 r and 1 e?
15/136
Calculate prob of picking 1 r and 1 f when two letters picked without replacement from rrffcrfckdrffc.
20/91
What is prob of picking 2 p when two letters picked without replacement from zzzpzzzzzzppzz?
3/91
Four letters picked without replacement from {z: 5, o: 3, w: 7, a: 2}. Give prob of picking 2 a, 1 w, and 1 z.
1/68
What is prob of picking 2 b and 2 a when four letters picked without replacement from {o: 3, a: 3, b: 2, y: 1, i: 1}?
1/70
Three letters picked without replacement from {a: 1, j: 1, e: 1, x: 5, d: 1}. Give prob of picking 1 j, 1 a, and 1 d.
1/84
Four letters picked without replacement from {v: 3, k: 4}. What is prob of picking 1 k and 3 v?
4/35
What is prob of picking 2 z when two letters picked without replacement from zyylzyyzzyyyz?
5/39
What is prob of picking 2 k when two letters picked without replacement from {s: 2, u: 5, k: 2}?
1/36
Four letters picked without replacement from aaaaaiaiii. Give prob of picking 2 a and 2 i.
3/7
Four letters picked without replacement from efuexeeueifiefeooo. What is prob of picking 2 e and 2 u?
7/1020
Two letters picked without replacement from qnqmrnsunmm. What is prob of picking 1 n and 1 r?
3/55
What is prob of picking 1 a and 2 l when three letters picked without replacement from {f: 5, l: 5, a: 5, h: 5}?
5/114
Three letters picked without replacement from kredmmzedmdzmkmmmz. Give prob of picking 1 k and 2 z.
1/136
Three letters picked without replacement from lliiilliiii. What is prob of picking 3 i?
7/33
Two letters picked without replacement from zzztttftzztdtztzttrt. Give prob of picking 1 t and 1 d.
1/19
Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {q: 11, t: 1}.
0
What is prob of picking 1 h and 1 v when two letters picked without replacement from evuuhhcvchuvhhch?
3/20
What is prob of picking 1 c and 1 j when two letters picked without replacement from {c: 1, l: 3, r: 5, j: 3}?
1/22
What is prob of picking 2 z when two letters picked without replacement from lzllzaallzzalzla?
1/12
Calculate prob of picking 1 w and 1 b when two letters picked without replacement from wdwdbt.
2/15
Calculate prob of picking 1 m and 1 y when two letters picked without replacement from yaammyyeny.
8/45
Two letters picked without replacement from {f: 1, l: 3, i: 5, n: 1, m: 1}. What is prob of picking 1 m and 1 l?
3/55
Three letters picked without replacement from {g: 1, f: 18}. What is prob of picking 1 g and 2 f?
3/19
Two letters picked without replacement from hhhxxhhhhxhhhhh. Give prob of picking 2 h.
22/35
What is prob of picking 1 g, 1 m, and 2 j when four letters picked without replacement from jjmfgnmjmff?
3/110
Calculate prob of picking 2 b and 2 c when four letters picked without replacement from bbcbcccbbcbbbbbb.
55/182
Three letters picked without replacement from {w: 1, z: 3, s: 5}. What is prob of picking 1 z and 2 s?
5/14
What is prob of picking 1 c and 1 d when two letters picked without replacement from {c: 2, p: 2, d: 1, y: 8}?
1/39
Calculate prob of picking 2 o and 1 u when three letters picked without replacement from {o: 1, s: 1, u: 1, d: 1, l: 1}.
0
Calculate prob of picking 3 t when three letters picked without replacement from tttjtttttttttjttttjt.
34/57
Two letters picked without replacement from {l: 2, i: 2, x: 4, t: 3, f: 1, m: 8}. What is prob of picking 1 f and 1 m?
4/95
Two letters picked without replacement from abaaaba. What is prob of picking 1 b and 1 a?
10/21
What is prob of picking 2 n and 1 h when three letters picked without replacement from {t: 2, m: 2, n: 2, a: 1, h: 1, o: 1}?
1/84
Three letters picked without replacement from nniiinii. What is prob of picking 3 i?
5/28
Three letters picked without replacement from {y: 2, l: 1, e: 4, z: 2, o: 5}. What is prob of picking 2 y and 1 e?
1/91
Calculate prob of picking 2 h and 1 m when three letters picked without replacement from phhhmhmhpmhmp.
30/143
Calculate prob of picking 1 k, 1 j, and 1 m when three letters picked without replacement from {j: 5, m: 1, x: 2, k: 7, s: 4, l: 1}.
7/228
What is prob of picking 2 o when two letters picked without replacement from ssoonoosqwn?
6/55
What is prob of picking 1 a and 2 d when three letters picked without replacement from {l: 1, o: 1, d: 4, a: 5}?
2/11
Four letters picked without replacement from {b: 5, e: 8, q: 2}. Give prob of picking 3 e and 1 b.
8/39
Four letters picked without replacement from {i: 1, y: 3}. Give prob of picking 3 i and 1 y.
0
Two letters picked without replacement from cdddcfcwdwnnwwwwfw. Give prob of picking 2 n.
1/153
Calculate prob of picking 2 h and 1 p when three letters picked without replacement from xphuxh.
1/20
What is prob of picking 2 z and 1 u when three letters picked without replacement from zuuuuuzu?
3/28
Calculate prob of picking 2 a when two letters picked without replacement from {s: 1, a: 3}.
1/2
Three letters picked without replacement from {h: 9, s: 11}. What is prob of picking 3 s?
11/76
Calculate prob of picking 4 l when four letters picked without replacement from lllillli.
3/14
What is prob of picking 1 l and 2 b when three letters picked without replacement from bbblbcfllbfblf?
15/91
Three letters picked without replacement from {q: 3, n: 4, h: 5, j: 3, t: 1, b: 4}. Give prob of picking 1 n and 2 q.
1/95
Calculate prob of picking 3 b and 1 s when four letters picked without replacement from sbssssssbsssbsbssss.
5/323
Three letters picked without replacement from {n: 19, g: 1}. What is prob of picking 1 g and 2 n?
3/20
Three letters picked without replacement from wswi. Give prob of picking 2 w and 1 i.
1/4
Four letters picked without replacement from imiajjmmjmmajk. What is prob of picking 1 i, 1 k, and 2 m?
20/1001
Calculate prob of picking 2 f when two letters picked without replacement from dldldhrzfzhllf.
1/91
What is prob of picking 2 e when two letters picked without replacement from sdudbeeh?
1/28
Calculate prob of picking 3 k when three letters picked without replacement from {k: 11, w: 1}.
3/4
Calculate prob of picking 2 b and 1 f when three letters picked without replacement from {p: 3, b: 4, s: 2, o: 1, f: 1, c: 1}.
3/110
Calculate prob of picking 2 a when two letters picked without replacement from gnauvva.
1/21
Calculate prob of picking 1 r and 2 j when three letters picked without replacement from rjrrj.
3/10
What is prob of picking 3 t when three letters picked without replacement from tbtbbbbtbtbtbtbbxib?
20/969
Two letters picked without replacement from hmmmmmmmmmmmmmhmmm. Give prob of picking 2 m.
40/51
Four letters picked
|
{
"pile_set_name": "DM Mathematics"
}
|
o y in g, 2, u?
u
Let k = 0.1 - 0.16. Let i be 56/(-12)*-18*1/7. Let b be -2*(-3)/i*10 + -3. What is the nearest to -1 in k, 1/4, b?
k
Let s = -3 - -3.5. Suppose 0 = -75*n + 78*n + 102. Let l = n - -29. What is the closest to 7 in l, s, 2/11?
s
Let i = 5.27 - 5.37. Which is the closest to i? (a) 3/8 (b) 0.5 (c) -2
a
Let p = -2 - -2. Let v be -2 - -4 - (11 - 4). What is the closest to p in -1/2, v, -0.09?
-0.09
Suppose h = -2*x + 1 + 3, 3*x = -2*h + 8. Which is the closest to 3/5? (a) -5 (b) h (c) -2/11 (d) 5
c
Let y = 109 + -114. Let s = y + -5. What is the nearest to 0 in s, -3/5, -0.5?
-0.5
Let r = 0.6 + 0.4. Let j(w) = 3*w**2 + 18*w + 17. Let g be j(-1). Let u = 0.34 - 0.04. What is the closest to u in -2, r, g?
r
Let d = 0.29 - 0.36. Let i = -0.19 - d. Let u = -4.88 + i. What is the nearest to 0 in 1, u, 0.4?
0.4
Let g = -2778/5 + 556. Let r = 8 + -11. Which is the nearest to g? (a) 2/9 (b) -2/23 (c) r
a
Let z = -94 - -74. Let l = 16 + z. Let p = -0.06 + 5.06. Which is the nearest to -1? (a) -1 (b) p (c) l
a
Let v = -2.111 + 2.1. Let y = v + -0.989. Which is the closest to 0? (a) -3/5 (b) 7 (c) y
a
Let g be (-6)/(((-42)/(-4))/(-7)). Let a be 26/(-22) + (g - 3). Let d = -0.11 - 0.09. What is the nearest to 2/7 in 1, d, a?
a
Suppose -6 = -y + 3*y, 35 = -5*a - 5*y. Let o = 0.8 - -4.2. What is the closest to a in -0.2, -0.1, o?
-0.2
Let w be ((-9)/6)/(6/(-32)). Let o be (0 - 2)/(w/(-6)). Let d = -95 - -97. What is the nearest to d in o, 5, 3/4?
o
Let x = -17.21 - -17.31. What is the closest to x in 3, -2, -5, 6?
-2
Let q = 206 - 56. Let f = -150.9 + q. What is the closest to 2/5 in f, 1, 0.4?
0.4
Let f = 56 + -57. Let d = -13.5 - -10. Let u = d + 0.5. What is the closest to 3/8 in f, -0.3, u?
-0.3
Let a = -31.33 - -36.2. Let d = 0.13 + a. What is the nearest to 2 in -2/11, 2/3, d?
2/3
Let o = 51.47 + -52. Let x = o + 0.43. Which is the nearest to -1? (a) 4/7 (b) 3 (c) x
c
Let v = -1/3 + 2/3. Which is the nearest to v? (a) 3/5 (b) -4 (c) 2
a
Let u be 240/(-6)*(0 - -1). Let o be ((u/35)/4)/(-2). What is the nearest to -2/7 in 1/4, -2/27, o?
-2/27
Let c(q) = -23*q - 920. Let u be c(-40). What is the closest to 0 in 30, u, -2?
u
Let n = -145.7 - -145.3. What is the nearest to 13 in -0.1, 3, n, -3?
3
Let a = 34 + -37. Let d = 29/40 - 3/5. Let o = -117/7 + 17. What is the closest to 1 in o, a, d?
o
Let z = 0.52 + -0.22. What is the nearest to -0.2 in 0, z, 2/7?
0
Let g = 2.019 - 2.319. Which is the nearest to 0.1? (a) -3 (b) -6 (c) g (d) -0.4
c
Let t be (1 - 6/(-10)) + (-33)/33. Which is the closest to 2/5? (a) t (b) -2/15 (c) 5
a
Suppose 2*o + o = 9. Suppose -4*u + o*u = 1. Let s be (6/14)/(3/(-2)). What is the nearest to u in s, -2/5, -3/7?
-3/7
Let n be (3*2*1)/((-315)/30). Let w be (-2)/4 + 10/(-8). Which is the nearest to 0.1? (a) n (b) w (c) 4
a
Let h = 24.2 + -24.6. Which is the nearest to 1/5? (a) -0.2 (b) h (c) -0.1
c
Let l = 0.056 - 4.056. Let h(u) = -u**2 + 5*u - 3. Let k be h(4). Let m be (-15)/(-2)*(-2)/(-3). What is the closest to -0.1 in l, m, k?
k
Let m = 34 - 84. Let i = -49.9 - m. Which is the nearest to i? (a) -1 (b) 2 (c) 5
a
Let f = 3.9 + -4. Let g = 14 + -18. What is the nearest to f in g, -5, 5?
g
Suppose -5 = 5*q + m, -3*m + 6 = 5*q + 1. Let i = 705 - 710. Which is the closest to -11/4? (a) 3/2 (b) q (c) i
b
Suppose -5*p = 16*p. What is the nearest to 0.1 in p, 3/7, -3, 3?
p
Let x = 2 + -2. Let q = 19 + -18.957. Let s = -0.043 + q. What is the nearest to x in 0.5, s, -1?
s
Let t = 1/819 + -827/6552. Which is the closest to -1? (a) 1/5 (b) 1 (c) 0.002 (d) t
d
Let w = 2689.5 - 2689. What is the closest to -2/7 in w, -4/9, -5/6?
-4/9
Let r(i) = i**3 - 22*i**2 + 19*i + 24. Let l be r(21). Let b be 6/l*(-3 - -2). What is the nearest to -1 in b, 3/7, 2/13?
2/13
Let h be 80/(-8) + 540/50. Which is the closest to 0? (a) -210 (b) -1 (c) h
c
Let k = 5.4 + -5.5. Let t = 5.65 + -0.65. Which is the nearest to -2? (a) k (b) 2 (c) t
a
Let o be (-2)/((-44)/(-26)) + 1. Let x = -1056 - -1056. Which is the closest to x? (a) o (b) -0.1 (c) 0.5
b
Let p = 0.021 + -2.121. Let c = 3.1 + p. What is the nearest to -2/9 in c, 0, 3?
0
Suppose 4*z - 3*y + 5*y = 10, 4*y - 4 = 0. Suppose z*u + 4*p - 10 = -0*p, -4*u + 2*p = 0. Let j = 83.2 + -83. Which is the nearest to u? (a) -2 (b) j (c) -4
b
Let o = -10 - -9.7. Suppose -5*i + 1 = 16. Let f be (-30)/(-75)*1/(-2). Which is the closest to f? (a) -1/4 (b) o (c) i
a
Let n = -36/5 - -7. Let j be (4/3)/(-4)*(-52 + 64). Which is the nearest to n? (a) -3 (b) -0.2 (c) j
b
Let q = 67 + -66. Suppose 5*f + 4*g + 4 = 0, 2*f + 4 = -0*f - g. What is the nearest to 0.1 in f, -2/9, q?
-2/9
Suppose 2*t + 5*q = -64, -2*q + 30 = -t - 4*q. What is the nearest to -1/3 in 0, t, 3?
0
Let x = -187 + 186. Let i = -4 - 0. Let w = -0.08 - 0.32. What is the nearest to 1 in i, x, w?
w
Let j(n) = n**2 + 431*n + 3779. Let d be j(-9). Let c = -0.2 - 0.1. What is the closest to -0.2 in -2, c, d?
c
Let m = 503 + -496. Which is the closest to 2/3? (a) m (b) 0.1 (c) 4
b
Let q = 4.52 - 5.52. What is the nearest to -0.1 in q, -6, -3?
q
Let v be (28/(-12) - (-3)/9)/9. Which is the closest to v? (a) -1/5 (b) -0.4 (c) 4 (d) 2/5
a
Let x = 1.419 - 1.209. Which is the closest to -1? (a) 3 (b) x (c) 4/3
b
Let l be -11 + 19 + (-54)/8. Which is the closest to 0? (a) -5 (b) l (c) -2/9
c
Suppose -24*g + 84 = -10*g. Let j be (g/4)/((-1)/(4/(-9))). Let r = 4.94 + 0.06. What is the nearest to j in 0.07, 1/9, r?
1/9
Suppose -4*o + 2*s - 114 + 112 = 0, 0 = -5*o + 3*s - 2. Which is the nearest to o? (a) -0.04 (b) 2/11 (c) 0 (d) 5
a
Let t = 1340 - 1339.9. Which is the nearest to -1? (a) t (b) 3 (c) 2 (d) -0.5
d
Suppose 5 = -2*r + 23. Suppose 2*u + 4*v = 18, -r = -4*u + 5*v + 1. What is the closest to -0.4 in u, -3, 3?
-3
Let g = 8.6 + 2.4. Let v = 6 - g. Let y = 1121 - 1121.5. Which is the closest to -2? (a) y (b) -0.1 (c) v
a
Let h = -52 - -50. What is the nearest to -0.04 in h, -2/9, -0.3?
-2/9
Let n = 4 - 39. Let t = n - -36. Let r be (0 - 1)*2/12. Which is the closest to t? (a) r (b) -0.3 (c) -5
a
Let r = -2895 + 2895.01. Let k be (-3)/(-12) - 13/4. Which is the closest to 0.2? (a) r (b) -0.3 (c) k
a
Let h be (6/(-27)*-1)/(1 + -2). Which is the closest to -0.1? (a) h (b) 5 (c) 0.109
a
Suppose 11*l = -9 + 20. Let v = 7.5 - 7. Which is the nearest to l? (a) -2 (b) 3 (c) v
c
Suppose 0 = 417*s - 400*s + 68. Which is the nearest to -123? (a) -2 (b) -0.2 (c) s (d) -1/11
c
Let s = -53 + 50. Suppose q - 1 + 5 = 0. Let p be q + 3 + (-18)/(-14). Which is the closest to -0.1? (a) s (b) 2 (c) p
c
Let v = 41.891 + 0.109. Let p = v - 42.4. Which is the closest to -2? (a) 1 (b) p (c) 0.1
b
Let i = -2.07 + 2. Let d = 0.57 + i. Let q = -0.021 - 0.979. Which is the nearest to q? (a) -0.2 (b) d (c) 5
a
Let n = -63.5 - -23. Let g = n - -41. Let i = 2.05 + -0.05. Which is the nearest to -1/4? (a) -2 (b) i (c) g
c
Let q be (-14)/(-10) - (-4)/(-10). Let r = -4045/7 + 578. Let t = 0 - 3. What is the closest to r in t, -4/9, q?
-4/9
Suppose 0 = 10*r - 4*r + 6. Let f = 0.025 - -2.275. Let h = -1.3 + f. Which is the nearest to r? (a) h (b) 2/5 (c) 0.2
c
Let y be ((-2)/6)/((2 - 5)/(-3)). Let p = -4 - -4.1. What is the nearest to p in -2/7, 2, y?
-2/7
Let p(y) = 3*y. Let j be p(-2). Let k be 8/j*21/(-98). Which is the closest to -19? (a) k (b) 0.5 (c) -3
c
Let y = 0.011 - 4.011. What is the nearest to -2 in -0.1, -2, 3, y?
-2
Let l = 1086 + -6515/6. Which is the nearest to 0? (a) 11 (b) 0.4 (c) l
c
Let x be -4 - (58/(-12) + 1). Let f be 3/(-15)*(-30)/8. Let y = -2.3 + 0.3. Which is the nearest to y? (a) -0.5 (b) x (c) f
a
Let m = -123/56 - -18/7. Which is the closest to 0? (a) m (b) -2 (c) -1/2
a
Let j = 13 + -12. Let a be (j/(-2))/(5/4). Let q(c) = 2*c. Let z be q(-2). What is the nearest to a in -10, 3, z?
3
Let m be (2 - (1 - 5))*(-16)/32. Which is the nearest to 0? (a) -0.2 (b) m (c) 0 (d) 30
c
Suppose -b = -2*l + b + 108, -4*l + b + 216 = 0. Suppose 0 = -15*j + 18*j + l. Let a be (36/(-81))/(4/j). What is the closest to 1/3 in -3, a, 1?
1
Let f = -3.2 - -5.2. Let l(w) = -w**2 + 8*w + 3. Let t be l(8). What is the nearest to t in -1/4, -6/7, f?
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*o - 1 = 3*n - 20. Solve 4 = -4*t, -11 = o*c - 3*t + 6 for c.
-4
Suppose -3*c - 61 = -5*g, -3*c + 7*c = -2*g + 40. Suppose -p = -4 - g. Let y be (8/(-3))/((-12)/p). Solve -2*v = -5*q + 23, v + 3 - 11 = -y*q for v.
-4
Let r be (15/(-9))/5*-6. Suppose -m = -r*m + 3. Solve -12 = c - m*o, c + 2*o - 8 = -3*c for c.
0
Let k(i) = 2*i**2 - 10*i + 8. Let u be k(6). Let l be ((-75)/u)/(3/(-8)). Suppose j = -5*t + 5, -j - j + l = t. Solve 0 = -j*v + 25, -5*f - v - 5 = -0 for f.
-2
Let m(k) = k**2 - k + 3. Let g be m(0). Solve y + 25 = -2*y + 5*f, g*f = 3*y + 21 for y.
-5
Let v(a) = a - 7 + a - 6 - 1. Let w be v(7). Solve w*x + c + 4 = x, 6 = -2*x - 5*c for x.
2
Let j be (-4 + 5)*-1 + 4. Solve 2*h - 3*h - 5 = g, -25 = j*h + 5*g for h.
0
Suppose p + 3 - 13 = 0. Solve -2*o = -l + p, -2*o - 11 = 3*l - 1 for o.
-5
Let m(x) = -x**3 + 5*x**2 + 6*x + 2. Let c be m(6). Solve 5*h = -3*d + c + 4, 10 = h + 5*d for h.
0
Suppose 0 = -0*a - 6*a. Solve a = -5*f + j + 6 - 34, 0 = -2*f - 5*j + 5 for f.
-5
Suppose 4*h - 23 = -0*k - 3*k, -3*h = -5*k + 19. Solve 15 = w + 4*d, 0 = h*w + d + 2*d - 15 for w.
3
Let o(f) = f**3 - 7*f**2 + 2*f - 10. Let t be o(7). Solve -4 = -t*g, -5*z + 2*g = -0*g - 3 for z.
1
Let z = -14 + 47. Suppose -4*f = -7*f + 3. Suppose -g + q + z = 5*q, -g + 4*q = -f. Solve 4*k + 3*a + 0*a = g, k = -a + 5 for k.
2
Let g be (-10)/(-50) + (-132)/10. Let v be (-15)/25 + g/(-5). Solve 2*c = v*a + a - 7, -c - 2 = 0 for a.
1
Suppose 3*s - 3*l = 9, 9 = 3*s - 5*l - 6. Solve -6*h = o - 3*h - 10, -2*h + 10 = s for o.
-5
Suppose -h = -2*h + 5. Suppose 0 = -4*p + h*i + 1 - 4, 4*p - 3*i - 3 = 0. Solve 2*c - p*c = 3*m - 5, -4*c = 5*m - 13 for m.
1
Let s = 6 - 2. Let a(l) = 4*l**2 - 4*l + 3. Let o be a(2). Suppose -3 = v - 5. Solve -s*w - o = 3*x, -v*w - 16 = 4*x + 2 for w.
1
Suppose -s + 3*b + 2*b = -27, -4*s = -b - 13. Suppose 4*x - 3*p = 8, s*p + 3*p - 30 = -2*x. Let t = 9 - 6. Solve -2*n + 10 = -2*a, x*n - t*a = n + 16 for n.
1
Let m be 0/(-1*(2 - 1)). Solve 0 = -4*b + 2*y - 20, m = -7*b + 3*b - 4*y - 20 for b.
-5
Suppose -19*j - 12 = -23*j. Solve 5*m = 4*x + 8, 3*m + j*x = 2*x + 15 for m.
4
Suppose -1 + 21 = 4*c. Let s(d) = d**3 - 5*d**2 + d - 2. Let u be s(c). Solve 0 = -4*v - 4*q - 12, 5*q = u*v + 2*v + 5 for v.
-2
Let j(k) = k**2 + 3*k. Let p be j(-4). Solve -p*h = -8*r + 3*r - 15, 0 = -2*h - r + 11 for h.
5
Let d be (-6)/18 + 7/3. Let o = 13 - 8. Suppose -10 = d*z + o*x, -4*x - 31 = z - 4*z. Solve 3*s + 2*s - 10 = -z*f, 2*s - 4 = -f for s.
2
Suppose 5*b = t + 63, 2*t + 30 + 31 = 5*b. Let v = b + -10. Solve 0 = 2*j - 5*o + 4*o - 11, j - 18 = v*o for j.
3
Let a be (6/4)/((-8)/(-16)). Let v(m) = m**3 + 3*m**2 - m + 4. Let w be v(-3). Solve a*f = -s - w, -3*f + 5*s = 2*f + 25 for f.
-3
Let m(p) = p**3 - 4*p**2 + 2*p - 20. Let g be m(5). Solve -r = 4*c + 4, 4*r + g = -4*c - 1 for c.
0
Let y = -4 - -6. Suppose 0 = y*u - 11 + 3. Solve -p = -j - 4, -u*j + 3*p - 1 = 12 for j.
-1
Let x(k) = -k - 1. Let c be x(-3). Suppose -1 = -c*y + 1. Let o be (y + -6)*5/(-5). Solve 2 + 15 = -t - 4*w, -9 = o*t + w for t.
-1
Suppose 0 = -5*f - s + 60, 2*s - 5 = 3*s. Solve -f + 0 = 4*w - j, 0 = 2*w + j + 11 for w.
-4
Let s be 2/(-3) + 3 + 50/3. Solve -5*v = -h + 12, -3*v - 5*h = s + 5 for v.
-3
Let t(k) = 3*k**3 - 5*k**2 + 3*k - 4. Let d be t(2). Solve o = -u, 2*o + 26 = 3*u + d for o.
-4
Let g = -4 + 6. Suppose -4*b + 18 = -b - 5*t, -5*b - 4*t = 7. Suppose 1 + b = y. Solve g*j + 6 = 2*u + j, -y*j - 2 = u for u.
2
Let y = 202 - 141. Let j(z) = -2*z**2 + 23*z - 7. Let n be j(9). Let s = y - n. Solve -3*b - s = -4*f, 6 = -f - b + 3 for f.
2
Suppose -10 = -3*z + 2. Solve -r + 3*u = 0, -r + 7 = -0*r + z*u for r.
3
Let n be ((-4)/(-6))/((-4)/(-18)). Solve -21 = -s + 4*u, -5*s + 2*u + n*u + 30 = 0 for s.
1
Let f be (6 - 6) + 3/1. Solve -5*x - 24 = 2*r, 5*r + f = 5*x + 13 for r.
-2
Let l = 5 + -7. Let x = l + 2. Solve v - 3*f + 0 - 2 = 0, 4*f = x for v.
2
Suppose 0 = -6*u + 3*u + 9. Let g = 6 - u. Solve -2*t - 2*r - g + 1 = 0, 0 = -t - 4*r + 2 for t.
-2
Let c = -26 - -30. Let d(s) = s**3 + 3*s**2 - 2*s - 3. Let g = -2 + -1. Let r be d(g). Solve r*m = -q + 4, -4*q = -3*q - c*m + 17 for q.
-5
Suppose 5*o - 40 = 4*m + o, -o + 3 = 0. Let i(s) = -s - 6. Let f be i(-3). Let t = f - m. Solve -x - 3 + 0 = -2*a, 0 = -2*a - t*x - 22 for a.
-1
Suppose 3*h = -5*m + 37, -2*h - m - 15 = -7*h. Let k = 1 - -3. Solve 0 = 4*c + 5*u + k, -6*c - u = -h*c - 4 for c.
4
Let p(b) = 3*b - 4 + 6*b - 1. Let m(v) = -13*v + 8. Let s(r) = -5*m(r) - 7*p(r). Let c be s(5). Solve c*z + 16 = -4*q, 0 = 3*q - 3 - 0 for z.
-4
Let j(h) = 4*h**2 - h. Let s be j(2). Let m = -8 - -33. Solve t = -4*d - m + 8, -2*t - 4*d = s for t.
3
Let x be -4*(1 + (-3)/2). Suppose -x*v - 4 = -3*v. Suppose 0 = -3*d - 5*h + 10, h - 1 - 1 = -3*d. Solve 4*z + d*o - 7 = -5*o, v*z - 3*o - 15 = 0 for z.
3
Let o(q) = q**2. Let u be o(-3). Let y be 1/(-3) - (-16)/3. Suppose -3*a = -y*a + 10. Solve 3*d + 5 = -l - u, -a*d = -2*l + 27 for l.
1
Suppose -4*h = 5*p + 21, 2*p = 5*h + p - 10. Solve -2*w + 3*w + 2*f + 5 = 0, 0 = -f - h for w.
-3
Suppose 3*g - 9 = 5*x - 0, -3*g + 9 = -3*x. Solve s - 3 = -2*v, -2*v + 3*s + 0 - 17 = x for v.
-1
Let d = 4 + -3. Let v be d/((-3)/(-4 - 2)). Solve -6*i = n - v*i - 18, 0 = -3*n + i + 2 for n.
2
Suppose 0 = -5*s + 3*t + t - 15, -4*s = -2*t + 6. Solve -24 = -5*m + m - 4*y, -m = -4*y - s for m.
5
Let g(u) = -6 - 1 - u**3 + 7*u**2 - u - 3*u - 1. Let y be g(6). Solve 2*z = -2*x + 10, -y*z + z + 5 = x for x.
5
Let x = 8 - 5. Let v(i) = 2*i**2 + 3*i - 4. Let d be v(-3). Suppose -w + d*r - 1 = 0, -2*r = 2*w - 16 + 6. Solve 4 = -z + q + 10, w*z - 10 = -x*q for z.
4
Suppose 7*r = 105 + 56. Solve -b = -4*n + r, -n + 4*b = -9 - 8 for n.
5
Suppose 0 = -2*m + 70 - 24. Solve 4*t - 30 + 6 = 2*r, -m = -5*t - r for t.
5
Suppose -2*p + 6 = -i + 3, -5*i + 1 = -2*p. Solve 3*d - 2*n + 5 = 0, p*d - n + 4 = -0*d for d.
-3
Suppose 4*q + 0 = 12. Let j be (-14)/21 - (-44)/q. Solve -5*y - 6*n = -3*n - 5, 0 = -y + 2*n + j for y.
4
Let u = -6 - -30. Let w be (-4)/3*3*-1. Suppose 5*b - q - 14 = 0, -q = -2*b + q + w. Solve -5*z = g - 5, -b*g + z - u + 7 = 0 for g.
-5
Let i(g) = g**2 - 9*g + 3. Let c be i(9). Solve 2*q - c*v - 6 = 5*q, -v = 2*q - 1 for q.
3
Let i(o) = -o**2 - 10*o + 6. Let v be i(-9). Suppose -11*y + v = -6*y. Suppose -y*s + 9 = -3. Solve 0 = c - 2, 3 = -s*k - c - 3 for k.
-2
Suppose 0 = -4*o - 5*l + 13, 3*o + 2*l = 3*l + 5. Suppose 4*p + o*n = 30, 3*p = p + n + 5. Solve 4*x = -4*a + 28, -p*x + a = -a for x.
2
Suppose -12 = -0*i - 3*i. Suppose -4*f - 5*j = -6, i*j + 10 = 2*f + 3*j. Suppose -f*g + 10 = g. Solve k + 5 = g*w, 3*k - 13 = 2*k - 4*w for k.
1
Let q(a) = 6*a**3 + a**2 - 1. Let m be q(1). Solve -2*v - 3*s - 10 = 2*s, 2*v - 3*s - m = 0 for v.
0
Let j(l) = l**3 + 2*l**2 - 2*l. Let g be j(2). Solve -g = -2*d + 5*h, -2*d - 5*h = 8 - 0 for d.
1
Suppose p = 3*z + 9, 0 = 2*z + 1 + 5. Suppose p*y = y - 8. Solve 0 = -s + 5*s - 2*d + 6, 3*s = 5*d - y for s.
-1
Suppose l + 0*h + 8 = -5*h, 0 = -4*l + h + 10. Solve -2*r - 4 = -3*c, l*c + r = -0*r - 2 for c.
0
Suppose 24 = 2*q - 0*q + 4*m, -5*q = 3*m - 25. Suppose -q*a - f + 9 = 0, -a - 3*f = 4*a - 24. Solve 0 = i - 2, j + 5*i - 12 = -a for j.
-1
Suppose 0 = 5*t - 13*t + 16. Suppose -5*m - 10 = -3*k, 4*m + 6 = 5*k - 15. Solve 4*s - k*b - 3 = 0, 0 = 4*s + t*b + 16 + 2 for s.
-3
Let w(t) = t**3 + t**2 + 2*t + 9. Let c be w(0). Solve 0 = -c*p + 4*p + 5*h - 25, -p + 1 = h for p.
-2
Let f(p) = -p**3 + 5*p**2 - 6*p + 3. Let y be f(4). Let v = -13 + 8. Let c = y - v. Solve c*l - 5*i = 2*l, 2*l = -i + 8 for l.
5
Suppose -t + 2*r + 0*r - 6 = 0, -4*r + 6 = -5*t. Solve -x - t*v + 3 = -1, -4*v + 4 = 0 for x.
2
Suppose m = 5*y + 5, -3*m + 15 = 5*y - 0. Suppose 71 = 5*j + 2*q + 2*q, 5*j - 3*q - 78 = y. Suppose -i = 4*i - j. Solve 2*w = -4*f - 6, -i*f - w - 11 = f for f.
-4
Let c = -7 + -7. Let j be 0 + (-4 - c)/2. Solve 2*z - 7 = 4*t + 5*z, j*t - 2*z = 20 for t.
2
Let c be (-1 + 2)*10/5. Solve 0 = -m + 2*r + c*r - 19, -r + 5 = 0 for m.
1
Let f = -19 + 15. Let m = f + 8. Solve 2*s = 4*u + 16, -2*s + 2 = m*u + 10 for u.
-3
Let o = -9 + -1. Let h = -7 - o. Solve s = -s - 6, h*x = -s + 12 for x.
5
Suppose -4*c = -5*p - c + 10, -2*p - 4*c = -4. Solve -5*v = 2*b + 27, -p*v + 2*b - 12 = -4 for v.
-5
Suppose 56
|
{
"pile_set_name": "DM Mathematics"
}
|
3, 0.12
Sort 9328, 3, 263 in ascending order.
3, 263, 9328
Put -3, -6, -906336, -4 in descending order.
-3, -4, -6, -906336
Put -147, -3, -5, -307, 1, 0 in ascending order.
-307, -147, -5, -3, 0, 1
Put 18/1925, 3, 1/2, -46, -1/6 in descending order.
3, 1/2, 18/1925, -1/6, -46
Put 41, 5, 3, 21, 162 in decreasing order.
162, 41, 21, 5, 3
Put 3, 57, 1, 4, -2, 137 in decreasing order.
137, 57, 4, 3, 1, -2
Sort 4, -290, 2, -2, 20, -7, -46 in increasing order.
-290, -46, -7, -2, 2, 4, 20
Put -86, -71, 0, -4, 8 in ascending order.
-86, -71, -4, 0, 8
Sort -5, -7, 1983, 2, 3, -2, 45 in decreasing order.
1983, 45, 3, 2, -2, -5, -7
Sort -3, -2, 5, 6, -5, 50 in descending order.
50, 6, 5, -2, -3, -5
Put -28, 4, 0, -0.939 in decreasing order.
4, 0, -0.939, -28
Put 4, 10, 3, -3, 5065050 in descending order.
5065050, 10, 4, 3, -3
Sort -282, 7, 11, 6, 4, -1 in increasing order.
-282, -1, 4, 6, 7, 11
Put 0.13, 0.24, -3, 7, -4/3 in descending order.
7, 0.24, 0.13, -4/3, -3
Put -1089, 507, -8 in decreasing order.
507, -8, -1089
Sort 2, 8, 207, -26.2, 0.2 in decreasing order.
207, 8, 2, 0.2, -26.2
Sort -8, 3, -17, 0, 4, 33, -3.
-17, -8, -3, 0, 3, 4, 33
Sort 928/3, -140/19, -2, -5 in descending order.
928/3, -2, -5, -140/19
Sort -0.4, -557763, 2/11, 5 in descending order.
5, 2/11, -0.4, -557763
Sort 236, 9, -162.126 in increasing order.
-162.126, 9, 236
Sort 7035, -3, -5986 in descending order.
7035, -3, -5986
Sort -19, 130, -2, -6, 0.5 in decreasing order.
130, 0.5, -2, -6, -19
Sort 2/3, 6/53, 0.068, 2816 in descending order.
2816, 2/3, 6/53, 0.068
Put -4/17, -237, -117, 0.1, -17 in ascending order.
-237, -117, -17, -4/17, 0.1
Put -1, 12/121, 364, 4, -3 in increasing order.
-3, -1, 12/121, 4, 364
Sort -8, -20, 4085, 2, -2 in ascending order.
-20, -8, -2, 2, 4085
Put -4, 186, -3, -7, -557, -1 in descending order.
186, -1, -3, -4, -7, -557
Sort -1.154, -298.7, -1/174.
-298.7, -1.154, -1/174
Put -89, 4, 19198, 7 in descending order.
19198, 7, 4, -89
Sort 537, -3, -18895 in descending order.
537, -3, -18895
Put 5129, 706, 31 in descending order.
5129, 706, 31
Put 4, -0.3, -349645, -11, -0.4 in decreasing order.
4, -0.3, -0.4, -11, -349645
Put 5, -142, 48614, -4 in decreasing order.
48614, 5, -4, -142
Put -2, 1, 3, -5, -97, -140, 5 in ascending order.
-140, -97, -5, -2, 1, 3, 5
Put -2.7, -221, 9/4, 1/3, 3, 2/7 in ascending order.
-221, -2.7, 2/7, 1/3, 9/4, 3
Put 4, 1, -5, 0.2, 2, 99, -12561 in descending order.
99, 4, 2, 1, 0.2, -5, -12561
Put -2, -4, -13735180 in ascending order.
-13735180, -4, -2
Sort -1.9, -8, 0.3, -1, 2, -71/3 in descending order.
2, 0.3, -1, -1.9, -8, -71/3
Sort -155, 207, 50, 0.
-155, 0, 50, 207
Sort -5, 4, -3522/11, 1, 2/13, -19 in decreasing order.
4, 1, 2/13, -5, -19, -3522/11
Sort 310527, 0, 33 in increasing order.
0, 33, 310527
Sort -0.04, 7, -5, 5, -275, -3/5, 6 in descending order.
7, 6, 5, -0.04, -3/5, -5, -275
Sort 0.031, -2/7, -45, -2, 4215.
-45, -2, -2/7, 0.031, 4215
Put -1, -78, -51570 in ascending order.
-51570, -78, -1
Sort -1, -94, 0, -5, -8, -3 in decreasing order.
0, -1, -3, -5, -8, -94
Put -2/1325, 0.1469, 0.4, -4, 0.03 in descending order.
0.4, 0.1469, 0.03, -2/1325, -4
Sort 2, -8, -440, -2, 39 in descending order.
39, 2, -2, -8, -440
Sort -0.1, -1/9, 3, -51, 12/313 in decreasing order.
3, 12/313, -0.1, -1/9, -51
Sort 2, -1, -2479, -3, 3, 1, 18 in descending order.
18, 3, 2, 1, -1, -3, -2479
Sort -4, -7/5, 25.49 in descending order.
25.49, -7/5, -4
Sort 3862, -4, 8, -270 in descending order.
3862, 8, -4, -270
Sort -4073, 1202, 1.
-4073, 1, 1202
Put -14, 55, 1, -1064, -4 in descending order.
55, 1, -4, -14, -1064
Put -5, -2173, 1016, -4 in decreasing order.
1016, -4, -5, -2173
Sort -0.2, -17942, -0.112 in decreasing order.
-0.112, -0.2, -17942
Sort 0, -2/506945, -0.077, -0.5 in ascending order.
-0.5, -0.077, -2/506945, 0
Sort -7, -3, -33, 419, 5 in decreasing order.
419, 5, -3, -7, -33
Sort -4, 976, 4, -0.4, -2/9, -9.6 in decreasing order.
976, 4, -2/9, -0.4, -4, -9.6
Put -75, -3, 33, 226 in descending order.
226, 33, -3, -75
Put 11, -7, -930, 2, 88 in ascending order.
-930, -7, 2, 11, 88
Put -167984, -26, -106 in descending order.
-26, -106, -167984
Sort 1860176, -5, -1.
-5, -1, 1860176
Sort 0.09, 1, -0.24, -0.1, -0.1273 in decreasing order.
1, 0.09, -0.1, -0.1273, -0.24
Sort -1, -47, -189, 14, 0.
-189, -47, -1, 0, 14
Sort -24, 4, 2, -11, -6, -3, 0.
-24, -11, -6, -3, 0, 2, 4
Sort 3215, -34, -51 in decreasing order.
3215, -34, -51
Sort 18, -14376, 5, 3 in increasing order.
-14376, 3, 5, 18
Sort -84227, -3, -2 in descending order.
-2, -3, -84227
Put -7623, 4, -430 in ascending order.
-7623, -430, 4
Sort -5, -1, 2, 334, 265, -7, 0 in increasing order.
-7, -5, -1, 0, 2, 265, 334
Put 3/4, -1.04965, -51/8 in decreasing order.
3/4, -1.04965, -51/8
Sort 166, -12, -3, -467, 2 in increasing order.
-467, -12, -3, 2, 166
Sort 16, 0.1, 106/141, -1/3 in descending order.
16, 106/141, 0.1, -1/3
Put 2, -1, -2, 2/15, -4/37, -85.3 in decreasing order.
2, 2/15, -4/37, -1, -2, -85.3
Sort -4, -29, 9, -17, -1, -42, 4 in decreasing order.
9, 4, -1, -4, -17, -29, -42
Sort -3, 3231, 0, 22, 3, -10 in descending order.
3231, 22, 3, 0, -3, -10
Sort 16, 51, 1/5, 10, -4, 1/4, -5/2 in ascending order.
-4, -5/2, 1/5, 1/4, 10, 16, 51
Sort 46.64, -1.7, -0.04, 0.045.
-1.7, -0.04, 0.045, 46.64
Sort 295, -83921, -3 in descending order.
295, -3, -83921
Sort -5, 697, 5, -1, -80 in increasing order.
-80, -5, -1, 5, 697
Put -1, -2, -12, 0, -5, -173, 3 in ascending order.
-173, -12, -5, -2, -1, 0, 3
Put 4, 2, 1, 34681 in increasing order.
1, 2, 4, 34681
Sort -56861, -3, -1029 in descending order.
-3, -1029, -56861
Sort 10, -5, 0, -2099370.
-2099370, -5, 0, 10
Put 0.3, 8/3, -0.31, -6.2, 2/61 in increasing order.
-6.2, -0.31, 2/61, 0.3, 8/3
Sort 5/22, -189, -1/5, -4 in descending order.
5/22, -1/5, -4, -189
Sort 11, -1, 174828, -5.
-5, -1, 11, 174828
Sort 0, -29, -263550 in descending order.
0, -29, -263550
Sort 4, -0.99, -28.88, -0.06.
-28.88, -0.99, -0.06, 4
Put 57, -533, 2, 0, -3, -4 in descending order.
57, 2, 0, -3, -4, -533
Put 2142, -3, -41.05, -10 in descending order.
2142, -3, -10, -41.05
Put 88, -0.1, 1691/151, -5, 4 in increasing order.
-5, -0.1, 4, 1691/151, 88
Put -45, -35677, -233 in decreasing order.
-45, -233, -35677
Sort 1, 8/7, -49.105, 3.
-49.105, 1, 8/7, 3
Sort 18, 70, -0.6, -2, 1, -2/7 in ascending order.
-2, -0.6, -2/7, 1, 18, 70
Put -4919, -77, 2, 5, -15, -5 in descending order.
5, 2, -5, -15, -77, -4919
Put 0.2142, -2, -1/4, -21422 in increasing order.
-21422, -2, -1/4, 0.2142
Put 282, -3, 49, -1021 in ascending order.
-1021, -3, 49, 282
Put -5, -4, 70, -3, -7, 365 in decreasing order.
365, 70, -3, -4, -5, -7
Put 146/9, -3/2, -404.2 in decreasing order.
146/9, -3/2, -404.2
Put -331, 2, -73, 1, -9, -5, 4 in decreasing order.
4, 2, 1, -5, -9, -73, -331
Sort 0, -2, 26, -11 in ascending order.
-11, -2, 0, 26
Sort 109, 46, 469 in decreasing order.
469, 109, 46
Sort 1, -51899, -115, 4, -5, -3 in descending order.
4, 1, -3, -5, -115, -51899
Put 3, 6986, -5, -3, 274, 5 in decreasing order.
6986, 274, 5, 3, -3, -5
Put 1009, -6504, -3 in decreasing order.
1009, -3, -6504
Sort 3, -0.47, -5, 123, 6 in increasing order.
-5, -0.47, 3, 6, 123
Sort -1, 0, 5, 247708, -36 in decreasing order.
247708, 5, 0, -1, -36
Put -3, 4, 39149, -5, 0, 1 in increasing order.
-5, -3, 0, 1, 4, 39149
Put 0.066, -1/4, 2, 2/11926677 in ascending order.
-1/4, 2/11926677, 0.066, 2
Put 4, -2/7, 73932 in increasing order.
-2/7, 4, 73932
Sort -10.14, 6, 215/3, -4 in ascending order.
-10.14, -4, 6, 215/3
Sort 4, -1, 29, -11, -4, 2, -234.
-234, -11, -4, -1, 2, 4, 29
Sort -4/3, -8, 0.1, 0, 127, -3.
-8, -3, -4/3, 0, 0.1, 127
Sort 4, -46049, -2/5 in decreasing order.
4, -2/5, -46049
Put -1027, -0.4, -0.02913 in descending order.
-0.02913, -0.4, -1027
Sort 5, -0.33, -4, -5, 4, 2, -0.3.
-5, -4, -0.33, -0.3, 2, 4, 5
Sort -6, -2, -4, 0, -249, -8, 47.
-249, -8, -6, -4, -2, 0, 47
Put -15, 1, 4, 44217, -4 in decreasing order.
44217, 4, 1, -4, -15
Sort 82490, 0.4, -1/15.
-1/15, 0.4, 82490
Sort -15, -11, 2, -4, -869 in descending order.
2, -4, -11, -15, -869
Put -2168, -44.6, -4 in increasing order.
-2168, -44.6, -4
Put -0.074063, -0.8, 1/3, -0.2 in decreasing order.
1/3, -0.074063, -0.2, -0.8
Pu
|
{
"pile_set_name": "DM Mathematics"
}
|
Let c(n) = -385*n. Let o(x) = 10*x + 184. Give o(c(m)).
-3850*m + 184
Let h(f) = 109*f. Let i(w) = -8*w**2 - 14*w. Let q(p) = -5 + 7*p**2 + 23*p + 11 - 11*p - 6. Let z(y) = -6*i(y) - 7*q(y). Calculate h(z(u)).
-109*u**2
Let p(j) = 2*j. Let m(s) = -2*s**2 + 18*s - 19. Let f be m(8). Let a be 58/(-87) - 2/f. Let u(n) = a - 3 + 2 + 4*n + 3. What is p(u(l))?
8*l + 4
Let w(i) be the third derivative of -i**4/8 + 5*i**2 - 15. Let k be (-5 - -2) + (-15)/(-3). Let q(l) = 22*l**2 - 15*l**k - 20*l**2. Give q(w(g)).
-117*g**2
Let w(t) = 2*t. Let j(f) = -42*f. Let y(g) be the first derivative of -5*g**2/2 - 134. Let h(i) = -6*j(i) + 49*y(i). Calculate w(h(d)).
14*d
Let h(a) = -29*a. Let n(t) = 4*t**2 - 28761*t - 2. Determine n(h(s)).
3364*s**2 + 834069*s - 2
Let m(x) = 62126*x. Let q(y) = 285*y + 11. Give q(m(v)).
17705910*v + 11
Let i(y) = -53*y. Let r(v) = v + 11408. What is i(r(w))?
-53*w - 604624
Let i(b) = 22*b. Let t(g) = 332*g + 186. Let m(v) = -38*v - 21. Let z(x) = 35*m(x) + 4*t(x). Determine z(i(n)).
-44*n + 9
Let d(u) = -24*u - 7. Let o(x) = -5*x - 2. Let n(p) = -4*d(p) + 14*o(p). Let i(m) = 4*m - 4*m + 7*m**2 - 9*m**2. What is i(n(v))?
-1352*v**2
Let b(l) = 29*l - 7. Let p(w) = 523*w. Calculate p(b(m)).
15167*m - 3661
Let g(h) = -3*h - 2. Let s = 256 + -259. Let b(l) = 9*l**2 + 5*l. Let n(i) = -5*i**2 - 3*i. Let a(r) = s*b(r) - 5*n(r). Give a(g(c)).
-18*c**2 - 24*c - 8
Let p(d) be the third derivative of 3*d**2 - 1/6*d**3 - 1/6*d**4 + 0*d + 45. Let v(s) = s. Determine p(v(j)).
-4*j - 1
Let k(x) = -17*x + 666. Let r(c) = -17*c + 777. Let o(y) = -7*k(y) + 6*r(y). Let t(v) = -5*v**2 + 5*v**2 + v**2. What is t(o(q))?
289*q**2
Suppose 2*l + 2 - 10 = 0. Let q be ((-9)/l)/(-1*(-9)/(-24)). Let k(m) = -q*m + m + 12*m. Let d(b) = -b. What is k(d(w))?
-7*w
Let k(i) = -i**3 - 10*i**2 - 19*i + 29. Let x be k(-7). Let v(d) = 2*d - x - 14 + 29. Let t(m) = -206*m**2. Calculate v(t(w)).
-412*w**2
Let o(q) be the third derivative of -5*q**4/12 - 6504*q**2. Let c(h) = -1284*h. Give o(c(s)).
12840*s
Suppose 36*r - 40*r = -76. Let z(s) = 66*s**2 - r*s**2 - 24*s**2 - 24*s**2. Let w(x) = 7*x. Calculate z(w(a)).
-49*a**2
Let n(s) = -18*s + 1. Let i(y) = -3752*y + 39. Give n(i(r)).
67536*r - 701
Let v(q) = -12*q. Let u(t) = t. Let o(h) = 6*u(h) + v(h). Let d(l) = 81*l. What is o(d(b))?
-486*b
Let y(t) = 29*t - 12. Let a(w) = -22*w + 10. Let p(n) = -6*a(n) - 5*y(n). Let i(g) be the third derivative of -g**5/12 + 2*g**2. Give i(p(f)).
-845*f**2
Let j(n) = 2*n**3 + 16*n**2 - 4*n - 30. Let f be j(-8). Let r(k) = 4 - 84756*k**2 - 4 + 84754*k**f. Let y(x) = -12*x**2 + 2. What is y(r(d))?
-48*d**4 + 2
Let w(s) = 11*s. Let v(l) = -1388*l**2 - 4*l + 1385*l**2 - 7 + 2 + 4*l. Determine w(v(f)).
-33*f**2 - 55
Suppose 0 = -2*f + 5*n - 41, 2*f - 5*n = f - 28. Let o be (14/(-4))/(f/26). Let i(s) = -12 - 4*s**2 + 5 + o. Let a(m) = -2*m. Calculate a(i(p)).
8*p**2
Let j(p) = -1358*p - 1350*p - 1347*p - 1352*p + 5402*p. Let c(a) = -60*a**2. Let l(d) = 15*d**2. Let w(b) = 2*c(b) + 9*l(b). What is w(j(o))?
375*o**2
Let l(v) = -1 + 1122*v - 495*v - 587*v. Let k(a) be the second derivative of -a**4/4 + a. Determine l(k(r)).
-120*r**2 - 1
Let z(n) = 3*n. Let t(y) = 2*y - 17. Let k(q) = 860*q - 255. Let p(g) = 2*k(g) - 30*t(g). What is p(z(i))?
4980*i
Let t(n) = 5*n - 7. Let s(r) = -54*r + 71. Let w(i) = 2*s(i) + 22*t(i). Let j(m) = -20*m. Calculate j(w(y)).
-40*y + 240
Let p(q) = 400415*q + 5. Let f(u) = u. Calculate p(f(z)).
400415*z + 5
Let g(d) = -17*d - 21*d - 5*d + 4*d. Let o(n) = -2*n**2 - 8*n. Determine o(g(v)).
-3042*v**2 + 312*v
Let o(z) be the second derivative of -z**4/6 - 9438*z. Let c(t) = -2*t + 53. Let b(k) = -6*k + 160. Let l(g) = -5*b(g) + 14*c(g). Give o(l(f)).
-8*f**2 + 464*f - 6728
Let p(v) = 89*v. Suppose 20 = -127*y + 117*y. Let b(s) = s + 4. Let c(o) = 2*o + 6. Let x(l) = y*c(l) + 3*b(l). Determine x(p(m)).
-89*m
Let y(q) = q**2. Let v(p) = -41496*p + 18200. Let d(l) = -273*l + 120. Let f(a) = 455*d(a) - 3*v(a). Calculate y(f(i)).
74529*i**2
Let p(m) = 916657*m + 2*m**2 - 916657*m. Let g(h) = -379*h. What is p(g(s))?
287282*s**2
Let o(l) = 22917*l - 2. Let n(d) = 2*d + 468. What is n(o(c))?
45834*c + 464
Let g(p) = -12*p**2. Let h(d) = 2*d**2 + 784077. Determine h(g(c)).
288*c**4 + 784077
Let u(y) = 3*y. Let o(g) = 3*g**2 + 428*g - 31 + 16 - 454*g + 15. Give u(o(t)).
9*t**2 - 78*t
Suppose -r + s + 97 = 0, 6*s = -5*r + 3*s + 525. Let a(h) = -3010 - r*h + 3010. Let o(i) = 2*i**2. Calculate a(o(j)).
-204*j**2
Let g(i) be the first derivative of -5*i**2/2 + 5146. Let r(l) = 175*l**2. Give r(g(s)).
4375*s**2
Let z(r) = -311998*r**2 - 153. Let k(w) = -2*w. Give k(z(c)).
623996*c**2 + 306
Let c = 21492 - -136. Let t(k) = -k**2 + 21628*k - c*k. Let p(f) be the third derivative of -f**5/30 + f**2. Give t(p(g)).
-4*g**4
Let m(c) = -88*c**2. Let n(y) be the second derivative of -y**5/60 - 79*y**3/6 - 10*y + 3. Let k(v) be the second derivative of n(v). Calculate m(k(t)).
-352*t**2
Let q(f) = 56*f**2 + 14. Let z(o) = 31*o + 10. Let y(v) = -37*v - 12. Let i(g) = 5*y(g) + 6*z(g). Determine q(i(x)).
56*x**2 + 14
Let w(s) = 2*s - 259. Let j(x) = 87*x + 101. Calculate j(w(r)).
174*r - 22432
Let a(h) = 41369*h. Let g(l) = -224*l**2. Calculate g(a(v)).
-383352292064*v**2
Let b(t) = 170*t - 95. Let o(i) = 97*i - 49. Let u(q) = -4*b(q) + 7*o(q). Let a(s) = 82*s. Determine u(a(j)).
-82*j + 37
Let p(i) be the third derivative of i**4/12 - i**2. Let o(y) = -3*y**2 - 11*y + 2. Let h(u) = -5*u**2 - 15*u + 4. Let d(f) = -h(f) + 2*o(f). What is p(d(z))?
-2*z**2 - 14*z
Let i(s) = -60157 + 24*s**2 + s - s + 60157. Let f(x) = -3*x**2 + 13*x. What is f(i(j))?
-1728*j**4 + 312*j**2
Let f(r) = -8*r**2 + 6*r + 6. Let p(g) = 142 + 57*g - 23 + 62*g - 161*g**2. Let v(u) = 119*f(u) - 6*p(u). Let a(s) = -21*s**2. Give v(a(i)).
6174*i**4
Let x(v) be the second derivative of 3*v**3/2 - 2*v. Let i(t) be the first derivative of 4*t**2 - 1746. What is i(x(s))?
72*s
Let w(f) = 10 + 2 - 30 - 12 - 4*f - 5. Let i(j) = 28*j. What is i(w(v))?
-112*v - 980
Let w(u) = -319*u**2. Let x(v) be the second derivative of -5*v**4/12 + 6908*v. Determine x(w(b)).
-508805*b**4
Let v(j) = 6*j**2 - j - 1. Let k(c) = 583*c**2 - 99*c - 99. Let g(p) = -2*k(p) + 198*v(p). Let x(u) be the first derivative of 4*u**3/3 - 3. What is x(g(n))?
1936*n**4
Let o(x) = x - 44. Let h(i) = i**2 + 15*i - 6. Let d(s) = -3*s**2 - 40*s + 16. Let l(c) = -3*d(c) - 8*h(c). Determine l(o(u)).
u**2 - 88*u + 1936
Let g(d) = 32*d. Let w(r) = -2*r - 33609. Determine w(g(h)).
-64*h - 33609
Let h(z) be the third derivative of -19*z**5/30 + 3*z**2 + 162*z. Let s(c) = 23*c - 1. Determine h(s(d)).
-20102*d**2 + 1748*d - 38
Let d(k) = -2*k - 2. Let f(g) = 175588*g**2. What is d(f(j))?
-351176*j**2 - 2
Let m(k) = 2*k**2. Let s(t) = -t**2 - 3*t + 3. Let u(w) be the first derivative of -2*w**3/3 - 5*w**2/2 + 5*w + 12. Let b(z) = -5*s(z) + 3*u(z). Give b(m(a)).
-4*a**4
Let z(d) = 10*d**2. Let y(b) = -2*b + 17. Let w(v) = -v + 6. Let f be 6 + 3 + -7 + 15. Let x(l) = f*w(l) - 6*y(l). Give z(x(s)).
250*s**2
Let n(b) = 2*b**2. Let g(z) = 43 - 602*z + 304*z + 292*z + 72. Determine n(g(j)).
72*j**2 - 2760*j + 26450
Let b(n) = 4 - 4 - 28*n**2. Suppose -1284 = -3*r - 1260. Let y(z) = z - 8 + 0*z + r. What is y(b(m))?
-28*m**2
Let l(a) = -8*a. Suppose -4*q + q + 3 = 0, -5*c - 3*q + 28 = 0. Let r(m) = 2*m**2 - 3*m**2 - c*m**2. What is r(l(j))?
-384*j**2
Let r(l) = -l + 21*l + 3*l. Let h(c) = -9*c - 75. Let v(j) = j + 10. Let y(k) = 2*h(k) + 15*v(k). Determine y(r(i)).
-69*i
Let j(o) be the first derivative of o**3/3 + 11*o - 509. Suppose 2*y + 2*h - 36 = -y, 2*h + 48 = 4*y. Let w(l) = 2*l - 4*l + y - 12. Give j(w(s)).
4*s**2 + 11
Let u(z) = -3*z. Let r(n) = 60*n. Let f = 21 + -19. Suppose 3*q - 315 = -f*q. Let g(d) = -3*d. Let v(a) = q*g(a) + 3*r(a). Determine v(u(p)).
27*p
Let c(x) = 2049*x. Let z(g) = -969*g + 4. Determine c(z(i)).
-1985481*i + 8196
Let r(v) = -2*v. Let m(g) = -398*g + 1364*g - 563*g. Give m(r(u)).
-806*u
Let o(v) = v**2. Let s = 57 + -63. Let w(d) = d. Let b(x) = x**2 - 6*x. Let f(n) = s*w(n) - b(n). Let p(j) = 5*f(j) + 7*o(j). Let y(l) = l. What is p(y(q))?
2*q**2
Let q(r) = -8767181*r**2. Let i(b) = 72*b. Calculate i(q(h)).
-631237032*h**2
Let m(h) = -4
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{
"pile_set_name": "DM Mathematics"
}
|
2
Let c(k) = 20*k + 17. Let o be -1 + -1*(-6)/2. Let q(b) = -9*b - 2 - 2 - o + 2*b. Let h(v) = -6*c(v) - 17*q(v). Let j(l) = -l. Give j(h(t)).
t
Let i(m) = 17*m - 29*m - 104*m. Let d(v) = -v. Calculate i(d(g)).
116*g
Let v(j) = 1262 - 1262 - 4*j + 0*j. Let u(g) = 26*g - 2. Calculate v(u(n)).
-104*n + 8
Let x(s) = 1177*s**2 + 1168*s**2 - 2350*s**2. Let d(l) = 1. Let v = 6 + -12. Let o(c) = -3*c**2 - 6. Let k(g) = v*d(g) - o(g). What is k(x(h))?
75*h**4
Let m(b) = 31259*b**2. Let w(j) = -40*j. Calculate w(m(d)).
-1250360*d**2
Let u(q) be the second derivative of -q**5/60 - q**3/6 - 7*q. Let v(s) be the second derivative of u(s). Let f(z) = -z**2. Calculate f(v(b)).
-4*b**2
Let r(w) be the first derivative of -5*w**2 - 153. Let t(z) = -10*z**2. Calculate t(r(u)).
-1000*u**2
Let z(d) = 3*d**2. Let x(k) = -20*k**2 + 6. Let y(v) = 376*v - 376*v + 11 - 39*v**2. Let r(l) = 11*x(l) - 6*y(l). Calculate r(z(i)).
126*i**4
Let p(t) = 217*t - 89*t - 134*t. Let d(g) be the first derivative of 4*g**3/3 - 2. Determine d(p(q)).
144*q**2
Let j(v) be the third derivative of -5*v**4/12 - 67*v**2. Let z(h) = -3*h. Give j(z(s)).
30*s
Let k(w) = 2*w**2. Let t(f) be the first derivative of -41*f - 1/3*f**3 + 14 + 0*f**2. What is k(t(a))?
2*a**4 + 164*a**2 + 3362
Let v(r) = -2*r**2 + 4*r + 0*r - 4*r. Let b(s) be the first derivative of 7*s**2/2 - 100. Determine b(v(h)).
-14*h**2
Let u(h) be the third derivative of h**5/12 + 85*h**2 - 2. Let t(o) = -20*o. Give u(t(i)).
2000*i**2
Let k(o) = -9*o**2 + 2*o + 1. Let b(j) = -27*j**2 + 7*j + 3. Let y(q) = -2*b(q) + 7*k(q). Let w(r) = -r**2. Determine w(y(x)).
-81*x**4 + 18*x**2 - 1
Suppose -2*l = 2*h - 10, -3*h = -0*h + 2*l - 12. Let j be 1/((12/(-8))/(-3)). Let z(v) = -v**2 + 5*v**2 - v**h - v**j. Let a(y) = -5*y. Determine a(z(u)).
-10*u**2
Let n(s) = -30*s - 6. Let c(t) = 28*t + 1. Let a(i) = -28*i - 2. Let w(d) = 4*a(d) + 3*c(d). Let u(y) = 5*n(y) - 6*w(y). Let b(x) = -2*x**2. What is b(u(m))?
-648*m**2
Let k(l) = 1379*l - 3. Let v(q) = -119*q. Give v(k(u)).
-164101*u + 357
Let a = -10 + 28. Let p(h) = -26*h + a*h + 5*h. Let m(g) = -6*g + 5. Let l(r) = -5*r + 4. Let d(n) = 5*l(n) - 4*m(n). Determine p(d(c)).
3*c
Let w(a) = 2*a**2. Let q(r) = 288555*r + 4. Give q(w(u)).
577110*u**2 + 4
Let w(a) be the first derivative of 212*a**2 - a + 196. Let c(b) = 2*b. What is w(c(d))?
848*d - 1
Let r(l) be the third derivative of -l**5/12 + 36*l**2 - l. Let f(c) = -21*c. Calculate r(f(q)).
-2205*q**2
Let w(n) = -n. Let t(p) = -49217*p. What is t(w(q))?
49217*q
Let p(r) = -55*r**2. Let c(t) be the second derivative of -t**4/6 - 138*t. Give p(c(w)).
-220*w**4
Let z(j) = -2*j**2. Let a(t) be the first derivative of -30*t**2 + 220. What is a(z(c))?
120*c**2
Let z(k) = 44*k + 10. Let a be 2/(-2 + 0/(-4)). Let v(m) = -m + 1. Let b(f) = a*z(f) + 8*v(f). Let j(o) = -o**2. Calculate b(j(h)).
52*h**2 - 2
Let d be (-1)/(-2) - 3930/(-12). Let k(m) = -315*m + d*m + 3 - 3. Let x(o) = -o - 9. Let v(w) = -2. Let i(z) = 9*v(z) - 2*x(z). Determine i(k(u)).
26*u
Let s(q) = -25266*q**2 + 9. Let k(n) = -3*n. Calculate s(k(j)).
-227394*j**2 + 9
Let h(m) = -4*m**2. Let q(d) = -1796*d - 64. Let i(b) = 276*b + 10. Let y(z) = -32*i(z) - 5*q(z). Calculate h(y(t)).
-87616*t**2
Let j(m) = 14*m**2 - 59. Let t(r) = -26*r**2 + 118. Let c(b) = -11*j(b) - 6*t(b). Let v(a) = 2*a**2. What is v(c(o))?
8*o**4 - 472*o**2 + 6962
Let k(l) = 4*l. Let p(w) = -4*w - 5*w + 10*w - 2*w. Determine p(k(s)).
-4*s
Let m(w) be the first derivative of 2*w**3/3 - w**2/2 - w - 7. Let i be m(-1). Let f(b) = 4*b**2 - 6*b**2 + 4*b**2 + 0*b**i. Let t(x) = 2*x. Calculate t(f(p)).
4*p**2
Let k = 12 + -12. Let s(q) = -15*q - 6*q - 4*q + k*q. Let d(z) = -z. What is d(s(r))?
25*r
Let m(f) = 19*f**2. Let s(h) be the first derivative of -h**5/120 + 7*h**3/3 + 10. Let z(u) be the third derivative of s(u). Determine m(z(c)).
19*c**2
Let v(a) = -2*a. Let f(y) = 20*y**2 + 20*y + 3. Give f(v(z)).
80*z**2 - 40*z + 3
Let i(c) = 1567*c + 1558*c + 1557*c - 4682*c + 3*c**2. Let w(g) be the second derivative of -5*g**4/6 - g. What is i(w(j))?
300*j**4
Let o(k) = -4*k. Suppose 0 = b - 3*n + 10, 0 = -5*b + n + 20 - 0. Let c(y) be the first derivative of -b + 3/2*y**2 + 0*y. Calculate c(o(r)).
-12*r
Let m(b) = 2*b**2. Let p(w) = w + 21. Let z(h) = 3*h + 82. Let o(i) = -9*p(i) + 2*z(i). What is o(m(f))?
-6*f**2 - 25
Let w(a) = -5*a**2 - 3*a. Let b(y) = -1091*y. What is b(w(d))?
5455*d**2 + 3273*d
Let q(d) = d**2 + 10*d + 11. Let n be q(-9). Let r(s) = -10*s**n + 6*s**2 - 3*s**2 - 10*s**2. Let j(g) = -g**2. Give r(j(b)).
-17*b**4
Let a(q) be the third derivative of 19*q**2 + 0 - 1/12*q**4 + 0*q**3 + 0*q. Let s(t) = -7*t. Calculate s(a(z)).
14*z
Let q(h) = 2*h. Let c(i) be the first derivative of 5*i**2 - i + 325. Determine c(q(s)).
20*s - 1
Let u(v) = 47*v - 138*v + 49*v + 44*v. Let m(y) = -1151*y**2. Determine u(m(f)).
-2302*f**2
Let g(j) = 180947*j. Let x(z) = -7*z**2. Calculate x(g(y)).
-229192717663*y**2
Let i(c) = 2847*c**2. Let u(h) = 163*h. Give u(i(l)).
464061*l**2
Let k be 1/(-4) - 17/(-4). Let n(q) = k*q - 2*q + 2*q. Let z(r) = -r + 704 + 704 - 1408. Calculate n(z(b)).
-4*b
Let h(b) be the third derivative of 7*b**5/60 - b**2 + 6. Let d(w) = w**2 - 16*w. Determine h(d(v)).
7*v**4 - 224*v**3 + 1792*v**2
Let t(m) = -m + 6. Let h(n) = 6*n - 34. Let p(q) = 3*q - 17. Let z(v) = -2*h(v) + 5*p(v). Let x(l) = 17*t(l) + 6*z(l). Let c(o) = 15*o**2. Determine x(c(g)).
15*g**2
Let q(a) = -5*a. Let v(y) = 288418*y. Calculate q(v(x)).
-1442090*x
Let z(l) = 77*l**2. Let i(u) = -2*u**2 + 4*u + 8. Let t(p) = p + 2. Let f(n) = i(n) - 4*t(n). Give f(z(y)).
-11858*y**4
Let n(m) = 4*m**2. Let p be 2730/9 - 2/6. Let a = -175 + p. Let t(f) = -f - a + 128. Determine n(t(o)).
4*o**2
Let p(j) = j - 2. Let o = 7 - 10. Let u(t) = -10461*t + 3 + 3 + 5230*t - 3 + 5230*t. Let g(y) = o*p(y) - 2*u(y). Let h(v) = 14*v**2. What is g(h(b))?
-14*b**2
Let m(v) = -v. Let r(p) = -p. Suppose 0 = 10*b + 10*b - 80. Let a(y) be the second derivative of -y**3/6 - 2*y. Let w(g) = b*a(g) - r(g). What is w(m(o))?
3*o
Let i(x) = 4 - 4 - x. Let c(w) = -20 + 41 - 26 + 4*w. Let r(g) = -1. Let n(m) = -c(m) + 5*r(m). Calculate n(i(s)).
4*s
Let r(i) be the second derivative of 2*i + 0*i**3 + 0 + 0*i**2 - 1/4*i**4. Let w(h) = h**2. Give w(r(c)).
9*c**4
Let p(z) = -5*z. Let f(s) = 19561*s. Determine p(f(a)).
-97805*a
Let m(f) = -f**2 - 2. Let d(o) = -33 + 12 - 6*o**2 + 8. Let a(n) = 6*d(n) - 39*m(n). Let w(q) = -9*q**2. What is w(a(z))?
-81*z**4
Let t(z) = -27*z. Let i(y) = -16*y**2 + 2*y. Give t(i(c)).
432*c**2 - 54*c
Let u(o) = o. Suppose 19*y + 58 - 58 = 0. Let a(j) be the first derivative of 0*j + y*j**2 + 5/3*j**3 - 3. Give u(a(v)).
5*v**2
Let n(y) = -12*y**2. Let c(v) be the third derivative of -v**7/504 - v**4/3 + 24*v**2. Let i(z) be the second derivative of c(z). Give i(n(f)).
-720*f**4
Let p(r) = -28*r. Let d(o) = -o + 2. Let y(l) = -3*l + 4. Let a(s) = -2*d(s) + y(s). Give p(a(g)).
28*g
Let o(k) = 3*k. Let m(n) = 27*n**2 + 5*n. Suppose l = -9 + 4. Let z(h) = -14*h**2 - 2*h. Let v(t) = l*z(t) - 2*m(t). What is o(v(i))?
48*i**2
Let l(z) = 4*z. Let f be (-1 + 4/8)*-6. Suppose 142 = f*g - 62. Let k(w) = 34*w - g*w + 28*w. Determine l(k(r)).
-24*r
Let s(w) = -1067*w + 1. Let r(z) = -19*z**2. Determine s(r(k)).
20273*k**2 + 1
Let q(o) be the second derivative of o**3/2 - 1308*o. Let u(x) = -3*x + 7*x - 2*x. Calculate u(q(h)).
6*h
Let w(b) = b. Let i(u) = -20*u + 371. Calculate w(i(y)).
-20*y + 371
Let b(s) = -s. Suppose -3*p + c - 5*c + 26 = 0, -3*p - 3*c + 21 = 0. Let i(l) = -827*l + 827*l - 2*l**p. Calculate i(b(g)).
-2*g**2
Let s(t) = 2*t**2. Let w(g) = 1106494*g**2. Give s(w(f)).
2448657944072*f**4
Let g(i) = 4*i**2. Let v = 343 + -343. Let r(s) be the third derivative of 0*s**3 + v*s + 6*s**2 + 0 + 1/12*s**4. Determine g(r(t)).
16*t**2
Let b(h) be the second derivative of h**3/3 + 220*h. Let x(i) = -30*i**2 - 1. Determine x(b(j)).
-120*j**2 - 1
Let g(w) be the first derivative of 23*w**2/2 - 41. Let q(y) = 17*y. Give q(g(m)).
391*m
Let m(p) be the first derivative of 1 + 1/2*p**2 + 0*p. Let d(q) be the second derivative of q**3/2 - 4*q - 10. Determine m(d(r)).
3*r
Let m(v) = 2*v**2. Let n(r) = -16*r - 4. Let p(c) = 2*c**2 - 2*c - 3. Let f be p(-2
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{
"pile_set_name": "DM Mathematics"
}
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6) - 1 - 2/(-1). Find the second derivative of 16*q + 6*q**2 - 7*q**v - 4*q + 13*q**2 wrt q.
24
Let r(h) be the second derivative of 90*h**7/7 + 16*h**3/3 - h**2/2 - 2*h - 41. What is the second derivative of r(y) wrt y?
10800*y**3
Suppose 6*f = 19 + 23. Find the third derivative of 10*j**5 + 8*j**5 + 3*j**5 - f*j**5 + 4*j**2 wrt j.
840*j**2
Find the second derivative of -23*l**5 + 98*l + 53*l - 21*l wrt l.
-460*l**3
Find the third derivative of -11*x + 73*x**3 + 9 + x**5 - 3 - 26*x**2 + 11*x - 3 wrt x.
60*x**2 + 438
Find the first derivative of -14 + 100*w**4 + 182*w**2 - 182*w**2 wrt w.
400*w**3
Find the second derivative of 6*d**2 - 37*d + 55*d**2 - 55*d + 3*d**2 wrt d.
128
Let p(l) be the third derivative of 25*l**8/84 - 119*l**5/60 - 98*l**2. Find the third derivative of p(y) wrt y.
6000*y**2
Let f(u) be the first derivative of 0*u**2 + 0*u**4 + 22/5*u**5 + 25 - 4*u + 0*u**3. Find the first derivative of f(v) wrt v.
88*v**3
Let m(x) be the third derivative of -7*x**6/60 - x**5/60 + 32*x**4/3 + 3*x**2 + 19. Find the second derivative of m(h) wrt h.
-84*h - 2
Find the second derivative of 232*p**4 - 1667*p + 1447*p + 145*p**4 wrt p.
4524*p**2
Let d(f) = 6*f**3 + 10*f**2 - 43*f. Let o(n) = -31*n**3 - 48*n**2 + 214*n. Let q(r) = 11*d(r) + 2*o(r). Find the second derivative of q(c) wrt c.
24*c + 28
Let y(a) be the first derivative of -76*a**2 - 207*a - 148. Find the first derivative of y(h) wrt h.
-152
Find the third derivative of 55 + z**2 + 129*z**4 - 344*z**4 + 69 wrt z.
-5160*z
Let v(a) be the third derivative of 38*a**7/35 + 8*a**3 - 6*a**2. Differentiate v(y) wrt y.
912*y**3
Let p = 20 + -17. Let l(v) be the first derivative of 2/3*v**p + 0*v - 4 + 5/2*v**2. What is the second derivative of l(f) wrt f?
4
Let s(o) be the third derivative of 37*o**6/120 + 11*o**3/2 - 138*o**2. What is the derivative of s(g) wrt g?
111*g**2
Let n(y) = -1. Let x(r) = r**2 - 2*r - 7. Let h(b) = -5*n(b) + x(b). Let t be h(4). Find the third derivative of 12 + t*j**6 - 12 - 4*j**6 + 8*j**2 wrt j.
240*j**3
Suppose -2*y = 2*y + 12*y. Let g(i) be the first derivative of 2/5*i**5 + 0*i**2 + 5 - 2/3*i**3 + y*i**4 + 0*i. Find the third derivative of g(z) wrt z.
48*z
Let y = 12 + -10. Differentiate y - 4 - 10*i**3 + 7*i**3 wrt i.
-9*i**2
Let w(b) be the third derivative of b**7/70 - 5*b**6/24 + 17*b**5/10 - 9*b**2 + 25. What is the third derivative of w(p) wrt p?
72*p - 150
Let p(x) be the third derivative of 23/120*x**6 + 9/20*x**5 + 0*x**3 + 0*x + 0 + 0*x**4 - 26*x**2. What is the third derivative of p(z) wrt z?
138
Let d(i) be the third derivative of -13*i**6/20 - i**3/3 + 39*i**2 - 2. Differentiate d(t) wrt t.
-234*t**2
Let x(d) = d + 14. Let y be x(-11). Suppose -y*g + 4 = -g. What is the third derivative of 6*j**2 + 4*j**2 + 4*j**4 + 2*j**2 - 3*j**g wrt j?
96*j
Let j(c) be the third derivative of c**7/105 + c**5/15 - 91*c**4/24 - 4*c**2. What is the second derivative of j(d) wrt d?
24*d**2 + 8
Suppose -5*i - 3 = -8. What is the third derivative of 1 - i - 156*t**3 - 43*t**2 + 185*t**3 wrt t?
174
Let h(i) be the second derivative of -101*i**4/3 + 187*i**3/2 - 872*i. What is the second derivative of h(o) wrt o?
-808
Let s(h) be the first derivative of -211*h**4/4 + 38*h**3 - 6. What is the third derivative of s(z) wrt z?
-1266
Let v(b) = -6*b**2 + 102*b - 6. Let h(p) = 15*p**2 - 204*p + 10. Let f(k) = -4*h(k) - 7*v(k). What is the second derivative of f(i) wrt i?
-36
Let p(d) be the second derivative of 5*d**3/6 + 55*d**2/2 + 2*d - 10. What is the first derivative of p(v) wrt v?
5
Let y(n) be the first derivative of 16 - 17/2*n**4 + 0*n**3 + 0*n**2 - 3*n. Differentiate y(s) wrt s.
-102*s**2
Find the third derivative of -130*b**2 + 10*b**4 - 9*b**6 - 89*b**2 - 3*b**2 wrt b.
-1080*b**3 + 240*b
Find the third derivative of 73 - 9*c**2 + 70 - 168 + 477*c**5 wrt c.
28620*c**2
Suppose 2*u - 2*m - 10 = 0, 3*u - 6*u + 5*m = -21. Find the third derivative of 7*t**u - 15*t**2 + 8*t**4 + 16*t**2 wrt t.
192*t
Let s(x) be the first derivative of -109*x**4/2 + 50*x**3 + 245. Find the third derivative of s(k) wrt k.
-1308
Let a = 7 + -2. What is the first derivative of 4*i**2 - 11*i**2 - 16*i**2 + a + 2*i**2 wrt i?
-42*i
Suppose -7*a + 123 = 4. Find the first derivative of -18*v - 10*v**4 + 35*v - a*v + 14 wrt v.
-40*v**3
Suppose -5*t = -30 - 40. Let c be 1 + ((-2)/(-1) - -1). Differentiate -c*z - t + 22 - 11 wrt z.
-4
Let b be ((-4)/8*-32)/2. Let g = b - 4. What is the derivative of -6*l**2 + 0*l**2 + 6*l**2 - 2*l**g - 4 wrt l?
-8*l**3
Let f = -560 - -566. Let m(l) be the second derivative of 1/6*l**3 + 0 - f*l + 7/2*l**2. What is the first derivative of m(c) wrt c?
1
What is the second derivative of -14 - 2*r + 7*r - 14*r + 14*r + 336*r**5 wrt r?
6720*r**3
Let u = 4 - 8. Let y = -1 - u. Find the third derivative of -4*c**2 + 0*c**2 + y*c**2 - 4*c**4 + 3*c**2 wrt c.
-96*c
Suppose 27 - 3 = 4*k. Suppose 11*i - 25 = k*i. What is the third derivative of -8*d**5 - d**5 + 7*d**i - d**2 wrt d?
-120*d**2
Let h(n) = -n**3 - 2*n**2 + n + 4. Let t(z) = 495*z**3 + 7*z**2 - 4*z - 7. Let w(l) = 4*h(l) + t(l). What is the third derivative of w(o) wrt o?
2946
Let o(x) be the first derivative of -50*x**6/3 + 73*x**2/2 - 133. What is the second derivative of o(l) wrt l?
-2000*l**3
Let v(u) = -4 - 3 + 8 - 2*u. Let k be v(-1). What is the first derivative of 23*b**3 + k*b**2 - 1 - 26*b**3 - 3*b**2 wrt b?
-9*b**2
Differentiate -63*u + 48*u - 72*u + 76 with respect to u.
-87
Let r(i) be the first derivative of -7*i**5/5 + i**4/4 - 2*i**3/3 + 42*i**2 + 162. Find the third derivative of r(o) wrt o.
-168*o + 6
Let u(m) be the third derivative of -5*m**5/12 + 29*m**4/24 + 2*m**2 - 12. What is the second derivative of u(b) wrt b?
-50
Let j(a) = -56*a**5 + 2*a**2 - 58*a - 2. Let b(w) = -223*w**5 + 9*w**2 - 232*w - 9. Let p(f) = -2*b(f) + 9*j(f). Find the second derivative of p(x) wrt x.
-1160*x**3
Suppose 0 = -2*c - k - 8, -c - 4*c - k - 20 = 0. Let o = c + 7. Find the second derivative of 4 + o*t**5 + 9*t**5 - 4 + t wrt t.
240*t**3
Let r(f) = -f + 1 - 3 + 8*f. Let w be r(2). Find the third derivative of z**2 - w*z**4 + 8*z**4 + 7*z**4 wrt z.
72*z
Let w be ((-18)/27)/(-1 - (-770)/774). Differentiate w - 128 + 17*v**2 + v - v with respect to v.
34*v
What is the second derivative of 75*c**3 + 8*c**4 + 0*c**4 - 6*c**4 - 3*c + 22*c**3 - c**4 wrt c?
12*c**2 + 582*c
Suppose -15*w + 17*w = 8. Find the second derivative of -2*q - w*q**4 - 47*q + 21*q - 27*q**4 wrt q.
-372*q**2
Let o(a) be the second derivative of 7*a**7/2 - a**4/3 + 8*a**2 - 127*a. What is the third derivative of o(t) wrt t?
8820*t**2
Let q(z) be the second derivative of 11*z**7/210 + 7*z**5/60 + 6*z**2 + 15*z. Let m(x) be the first derivative of q(x). Find the third derivative of m(b) wrt b.
264*b
Let w be (8/(-10))/((-28)/(-70)) - -6. What is the third derivative of w*r**2 + 30*r - 5*r**2 - 30*r + 7*r**3 wrt r?
42
Let v(i) be the second derivative of 31*i**5/20 - i**3/6 - 57*i**2 + 71*i. What is the first derivative of v(f) wrt f?
93*f**2 - 1
Let k(t) = -62*t - 125. Let j(f) = -123*f - 248. Let h(w) = -6*j(w) + 13*k(w). Differentiate h(a) wrt a.
-68
Suppose 3*m = 5*d - 3175, -2*m = -7 + 17. Find the third derivative of -d*i**3 - 6*i**2 - 3*i - 18*i**4 - 27*i**4 + 632*i**3 wrt i.
-1080*i
Let y = 9 - 7. Find the third derivative of a**3 + a**2 - 4*a**6 + a**y - a**3 wrt a.
-480*a**3
Find the first derivative of 19*t + 2*t**2 - 7*t**4 + 8*t**4 - 2*t**2 - 126 wrt t.
4*t**3 + 19
Suppose -2*s = -5*s. Suppose -3*r - b + 15 = 0, 3 = -2*r - 5*b - s. What is the second derivative of r + 5*g - 5*g**3 - 6 wrt g?
-30*g
Let a = 6 - -4. Find the first derivative of 10*z + 10*z**2 + 4*z**2 - a*z + 10 wrt z.
28*z
Let d(w) be the first derivative of -8*w + 0*w**2 - 16 + 0*w**3 - 3/4*w**4. Find the first derivative of d(q) wrt q.
-9*q**2
Let v(u) be the second derivative of 0*u**5 + 2/3*u**3 + 0 + 0*u**4 - 4/5*u**6 - 15*u + 0*u**2. Find the second derivative of v(t) wrt t.
-288*t**2
Let n(t) = 202*t**5 + 4*t**3 + 21*t**2 - 4*t - 1. Let l(y) = 2*y**5 - y**3 + y. Let b(v) = -4*l(v) - n(v). What is the third derivative of b(u) wrt u?
-12600*u**2
What is the third derivative of -121*m**3 - 2*m**4 + 23*m**2 + 104*m**3 + 14*m**2 wrt m?
-48*m - 102
Let c(v) be the
|
{
"pile_set_name": "DM Mathematics"
}
|
se 4*u = 5*v + 117, -105 = -5*u - 8*v + 6*v. Suppose -1839 + 21481 = u*y. List the prime factors of y.
2, 7, 61
Let j = 128 - -73. Let v = 874 - j. List the prime factors of v.
673
Let w(k) be the first derivative of -k**3/3 + k**2/2 + 562*k - 8. List the prime factors of w(0).
2, 281
Let p(z) = -7*z - 228. Let x be p(-33). Suppose -3*r - t + 2358 = 0, -t + 2358 = x*r + 2*t. List the prime factors of r.
2, 3, 131
Suppose 4 = -w, -4*s - 2*w + 4*w = -2136. Let v = s - -665. Suppose 9*l = -0*l + v. What are the prime factors of l?
7, 19
Suppose o - 337 = -o + 3*n, -3*o + 483 = 3*n. Suppose -2*k - o - 921 = -3*g, 0 = -2*g - 5*k + 717. What are the prime factors of g?
19
Let p(q) = q**2 + 67*q - 134. What are the prime factors of p(25)?
2, 3, 19
Let f be 42/6 + 48/(-6). What are the prime factors of (-296)/((-2)/2) + (-1 - f)?
2, 37
Let n(r) = r**3 - 4*r**2 - 2*r + 4. Let d be n(3). What are the prime factors of (-2785)/d + ((-93)/(-33) - 3)?
11, 23
Let g = 2776 + 9076. What are the prime factors of g?
2, 2963
Suppose 385*y - 383*y - 99429 = -5*s, 0 = -4*s + 5*y + 79497. List the prime factors of s.
59, 337
Let s be 5 + -1 + (-656)/8. Let o = 233 + s. Suppose 8*q = 1397 + o. List the prime factors of q.
2, 97
Let y(l) = -18*l + 49. Let b = 42 + -56. What are the prime factors of y(b)?
7, 43
Let v = 11217 + -7097. Suppose -5*f - 2*i = -f - 4102, 4*f - v = 4*i. List the prime factors of f.
13, 79
Let n(y) = y. Let u be n(0). Let x = 16795 + -16790. Suppose -x*b + 294 + 756 = u. What are the prime factors of b?
2, 3, 5, 7
Let q = 17249 + 7081. What are the prime factors of q?
2, 3, 5, 811
Let x = 203 - 20. Suppose 3*p - 78 - x = 0. What are the prime factors of p?
3, 29
Let q(p) be the first derivative of p**3/3 + 31*p**2/2 - 19*p + 8. Let a(w) be the first derivative of q(w). What are the prime factors of a(19)?
3, 23
Let b(w) = w**2 - 3*w - 2. Let p = 60 + -61. Let i be b(p). Suppose -81 = -a + i*m, -2*m = -4*a - 0*a + 336. What are the prime factors of a?
5, 17
Let z be (-1)/((1/2)/(-1)). Suppose 6 = -z*j - t + 4*t, 3*t - 27 = -5*j. Suppose -29 = -u - j*k + 19, 2*u - 2*k - 104 = 0. What are the prime factors of u?
3, 17
Let i = -359 - -370. Let g(m) = 80*m + 7. List the prime factors of g(i).
887
Let o = -23416 - -54543. What are the prime factors of o?
17, 1831
Suppose 47901 = 18*h - 23433. Suppose -6*b = -3*b + 9, 5*z = -4*b + h. List the prime factors of z.
3, 5, 53
Let n(c) = 2040*c - 932. What are the prime factors of n(2)?
2, 787
Let o(l) be the third derivative of -l**6/20 - 53*l**5/60 - 3*l**4/8 + 5*l**3/3 + 49*l**2. List the prime factors of o(-10).
2, 5
Let b be (-825)/(-175) + 4/14. Suppose 817 + 795 = 3*g - b*i, g = 5*i + 554. List the prime factors of g.
23
Let c(t) = 11*t**2 - 56*t - 2. Let w be c(5). Let b = -62 - -9. Let o = w - b. List the prime factors of o.
2, 23
Let c(b) = -2*b**3 + 23*b**2 + 39*b - 11. Let l(h) = h**3 - 12*h**2 - 20*h + 6. Let f(r) = -6*c(r) - 11*l(r). What are the prime factors of f(8)?
2
Suppose -584 = -u + 2*v, -u - 2*u = 4*v - 1782. Suppose -4*y + 103 = l, -6*y + y - u = -5*l. What are the prime factors of l?
5, 23
Suppose -766*b - 11094 = -772*b. What are the prime factors of b?
43
Suppose -12*s + 25 = -7*s. Suppose -2*q = -s*l - 0*q + 106, -5*l - 5*q = -85. Suppose -l*g = -26*g + 552. What are the prime factors of g?
2, 23
Let c = -1 - -1. Let z = 2038 + -1721. Suppose -3*w + 4*y = -c*w - 181, -5*w - y = -z. What are the prime factors of w?
3, 7
Suppose 284*u = 305*u - 207606. List the prime factors of u.
2, 4943
What are the prime factors of ((-34074)/30)/(114/(-4940))?
2, 3, 13, 631
Let g = 556 - 547. Suppose 14*o - 7880 = g*o. List the prime factors of o.
2, 197
Let w be (40/30)/(-3*(-6)/27). Suppose 4*q - 476 = -q - 3*k, 0 = -q + w*k + 90. List the prime factors of q.
2, 47
What are the prime factors of (-90)/(-27)*(-190566)/(-12) + 5?
2, 5, 2647
Let w(y) be the first derivative of -y**3/3 - 18*y**2 - 8*y + 29. List the prime factors of w(-17).
3, 5, 7
Let o be 1/((5/(-20))/(-2 - -1)). Let d(b) = b**3 + b**2 - b - 1. Let h(p) = p**3 + 2*p**2. Let c(k) = o*d(k) - 6*h(k). List the prime factors of c(-6).
2, 41
Suppose 0 = 273*m - 142*m - 143*m + 44880. What are the prime factors of m?
2, 5, 11, 17
Suppose 3*r - 938 = -4*r. Let d = r - -94. What are the prime factors of d?
2, 3, 19
Let h(i) = 9*i - 22. Suppose 0 = 56*f - 57*f + 3. Let n be h(f). Suppose y + 4*j + 43 = 168, j - n = 0. List the prime factors of y.
3, 5, 7
Let l(b) be the third derivative of b**4/2 + b**3/2 - b**2. Let i(d) = 2*d**2 + 4*d - 25. Let h be i(-5). List the prime factors of l(h).
3, 7
Let f = -8224 - -22188. What are the prime factors of f?
2, 3491
Let y be -542*((-114)/4)/3. Suppose i = 3, -4*t + 2*i + y = 1099. What are the prime factors of t?
2, 3, 13
Suppose -1191394 = -233*m + 632920 + 355634. List the prime factors of m.
2, 2339
Let o(y) = -88 - 40 - 118 - 28*y - 4*y. What are the prime factors of o(-26)?
2, 293
Suppose -14*c + 38908 + 16336 = 0. Let q = 5665 - c. What are the prime factors of q?
3, 191
Let c be 38*(-1 - 2/2). Let j = c + 81. Suppose 2*b + 14 = -j*v + 223, 2*v = -10. List the prime factors of b.
3, 13
Let k = 154 + -158. Let i(u) = 30*u**2 + 34*u + 4. What are the prime factors of i(k)?
2, 3, 29
Let u be (-7)/(21/6) + -2. What are the prime factors of (u/6)/((-20)/(-30))*-268?
2, 67
Let z = 16 + -14. Suppose 0 = -z*d + 156 + 228. List the prime factors of d.
2, 3
List the prime factors of (9/(-3) + -3)*247914/(-81).
2, 4591
What are the prime factors of ((-256632)/(-714))/((-4)/(-70))?
2, 5, 17, 37
Let n(s) = 2*s**3 + 7*s**2 + 4*s - 2. Suppose -8*v - 15 - 17 = 0. Let b be n(v). List the prime factors of 1*(-1 - 0) - b - -1.
2, 17
Let b be (-3)/(-2 + 14/4) - -4. Suppose 2*c - o - 5 = 0, -3*c - 4*o + 16 = -b*c. Suppose c*v - 6*v + 236 = 0. What are the prime factors of v?
2, 59
Let z = -242 - -1601. Suppose 3*s - 1492 = p + z, 5*s + p = 4749. What are the prime factors of s?
2, 5, 19
Suppose -2*c + 21334 + 4488 = 5*t, 5*c + 5186 = t. List the prime factors of t.
2, 3, 7, 41
Let w(z) = z**2 - 3*z + 12. Suppose 3*f + 4*n = -2, -4*n + n = 3*f - 3. Let m be w(f). List the prime factors of 16/(m/14 + 8/(-56)).
2
Let d(a) be the first derivative of 4*a**3/3 + 4*a**2 + 16*a - 63. List the prime factors of d(7).
2, 67
Suppose -10 = -3*z + 2. Suppose -16*q - 11 = -5*q. What are the prime factors of 57 - 15/(z - q)?
2, 3
Let y = 163 + -161. Suppose y*d + 788 = 4*l, -11 + 209 = l - d. What are the prime factors of l?
2, 7
Let w = 30022 - 25312. What are the prime factors of w?
2, 3, 5, 157
Let i(h) = h + 7. Let d be i(-6). Let s be (21/42)/(d/44). Suppose -28 = -5*x + s. List the prime factors of x.
2, 5
Let u(r) = -r - 7. Let k be u(-4). Let d be 2/1 + (-3)/(k/286). Suppose d = 5*v - 42. What are the prime factors of v?
2, 3, 11
Let q(f) = 4*f**3 + 164*f**2 + 164*f - 80. List the prime factors of q(-37).
2, 3, 13, 101
Let h = 3070 + 800. Suppose -h = 19*r - 24*r. What are the prime factors of r?
2, 3, 43
What are the prime factors of -11 + 31 - (-7 + -48329)?
2, 7, 11, 157
Let h = 22557 - 12963. What are the prime factors of h?
2, 3, 13, 41
Let g(y) = 3460*y + 72. What are the prime factors of g(4)?
2, 37, 47
Suppose -8*d = -3*d. Suppose d = 2*c - 4*g - 2, -19 = -5*c - 6*g + 2*g. Suppose c*p - 145 = 167. What are the prime factors of p?
2, 13
Let u = -75 - -15. Let c = -56 - u. What are the prime factors of (-72)/(-27)*147/c?
2, 7
Let m(y) be the second derivative of 9*y**5/20 - 8*y**3/3 + y**2 - 32*y. Let q(i) be the first derivative of m(i). List the prime factors of q(-3).
227
Suppose 3*r - 5*x - 5 = 0, x - 3 = 5*r + 4*x. Suppose 5*b - 679 = -l - l, r = -3*b - l + 408. List the prime factors of b.
137
Suppose 5*l - 12*n + 15*n - 37069 = 0, 3*l - 2*n - 22230 = 0. List the prime factors of l.
2, 17, 109
Suppose -3*z + 4*w = -50798, 50800 = 3*z - 625*w + 623*w. What are the prime factors of z?
2, 8467
Suppose -229*k = -220*k - 144. Suppose 2*b = -b + 12. Suppose b*z = -16, 2*f + 0*z = -z + k. List the prime factors of f.
2, 5
Suppose -8631 = 9*u - 15*u - 1383. What are the prime factors of u?
2, 151
Suppose 6*t - 8 = 2*t. Suppose 0 = -4*g - 3*k, 5*k + 14 = 4*g - 6*g. Suppose -a + h = -79, g*a + t*h - 253 = h. Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
be q(4). Suppose -44*m + 114 = 13*m. Suppose -m*p - 4*y + 224 = -2, -5*p = y - a. What is the units digit of p?
9
Let u be 22418/(-10) - 28/140. What is the tens digit of ((35/(-7))/(-5))/((-2)/u)?
2
Suppose -4*w - 4*i + 48485 = i, -2*w + 5*i + 24265 = 0. What is the tens digit of w?
2
Suppose -4*c + 5*v + 8 = 0, 0 = -5*c - 3*v - 5 + 15. Suppose 2*t + a - 863 = 0, -857 = c*t - 4*t + 5*a. What is the units digit of t?
1
Suppose 1921 = -r + 5147. Suppose -5*b = -1804 - r. What is the units digit of b?
6
Suppose 46*o - 172308 = -17*o + 229569. What is the hundreds digit of o?
3
Let i(c) = 4*c + 48. Let g(b) = -73*b + 21. Let a be g(-2). Suppose -x = -157 + a. What is the units digit of i(x)?
8
Suppose -5*m - 124 = -3*i + 21, 4*i - 196 = 4*m. Let h = 54 - i. Suppose -230 = -h*g - 3*j, -3*g + 2*j + 97 + 67 = 0. What is the units digit of g?
6
Let d = 45816 + -9512. What is the ten thousands digit of d?
3
What is the ten thousands digit of 1*((-2)/(-8) - (-10)/80*136182)?
1
Suppose 26*p = 43*p - 62611. What is the thousands digit of p?
3
Suppose h = o - 4, -4*h - 7*o + 3*o = 40. Let k(l) = -10*l + 7. Let g be k(h). Suppose -3*i = 4*y - 149, 4*i - 121 = -5*y + g. What is the units digit of i?
7
What is the ten thousands digit of (324/(-1890))/(1/7)*201680/(-6)?
4
Suppose 0 = 8*d + 557 - 4853. Suppose 1675 = 3*w - 2*j - 2*j, -w - 4*j = -d. Suppose k = -5*f - k + w, 5*f - 565 = -5*k. What is the units digit of f?
9
Let g = -17 + -6. Let n = g - -25. Suppose -3*i + 3*x + 133 = -x, -5*i + n*x = -245. What is the units digit of i?
1
Let y = -60 + 55. Let q be 5 + 0 - (y - -8). Suppose z = -q*z + 2*g + 79, z - 18 = -g. What is the tens digit of z?
2
Let r(p) = p**3 - 4*p**2 + 7*p - 11. Let t(x) = -x**3 + 3*x**2 + 2*x - 1. Let k be t(3). Let g be r(k). Let w = 74 - g. What is the units digit of w?
5
Suppose -r + 9 - 6 = 0. Suppose 4*j - r = 13. Suppose -3*o = -4*w + 671, -j*o = 4*w + 383 - 1019. What is the tens digit of w?
6
Let j be 8/3 - 2/(-6). Let v = -3276 - -3285. What is the tens digit of (v - -56) + -1 + j?
6
Let i(b) = -170*b - 2101. What is the units digit of i(-58)?
9
Suppose -3*z = -10137 - 813. What is the units digit of z?
0
Suppose 456 = 8*y - 400. Suppose 2*q + y = -2*j + 489, 5*q - 957 = -3*j. Let u = -17 + q. What is the hundreds digit of u?
1
Suppose 0 = -79*b + 1073866 - 461547 + 958596. What is the tens digit of b?
8
Suppose 174 = 5*s - 51. Suppose 7*n - 1802 = -s. Suppose -3*o + 2*r = -812, 5*r + n + 11 = o. What is the hundreds digit of o?
2
Let u(a) = 4 + a**3 - 6*a - 15 - 8*a**2 + 16*a. Let k be u(7). Suppose -k*c + 245 + 595 = 0. What is the tens digit of c?
8
Let x(z) = -4*z - 82. Let r be x(-21). Suppose 0 = r*o + 17*o - 5890. What is the tens digit of o?
1
Let u = 426 + -267. Let x be (1/3*-15)/(-1). Suppose -5*m + 4*h + u = 0, h - 183 = -x*m - 29. What is the tens digit of m?
3
Suppose -3*c + 63892 = -q, -3*q - 4 = -19. What is the ten thousands digit of c?
2
Let v(x) = 199*x**2 + 3*x - 5. Let g be v(3). Suppose 6*i - 683 - g = 0. What is the hundreds digit of i?
4
Let r = -46 - -52. Let q be (-16)/5*((-315)/r)/7. Suppose 79*c + q = 81*c. What is the units digit of c?
2
Suppose 127205 = 3*l - 4*x, 5*l - 3861*x = -3862*x + 211993. What is the tens digit of l?
9
Let u(k) = k + 3. Let j be u(2). Let i be 1/((25/j)/45). Suppose -56 + i = -s. What is the units digit of s?
7
Suppose 1434477 = 35*z + 48*z + 252640. What is the units digit of z?
9
Let m be (-6)/4*(5 - 114/18). Suppose -d - 862 = -3*d - v, -864 = -2*d - m*v. What is the tens digit of d?
3
Let y be (-2 + (-21)/(-9))/(4/72). Suppose -3733 = -5*k - 4*j, 0 = y*j - 9*j + 6. What is the tens digit of k?
4
Let g be (-14 - 33460/16) + 1/4. Let o = -910 - g. What is the hundreds digit of o?
1
Let m(k) = k**2 - 14*k + 13. Let l(z) = -z**2 + 9*z - 12. Let v be l(5). Suppose v*q = 7*q + 18. What is the units digit of m(q)?
5
What is the hundreds digit of ((-49399)/14)/(-1)*2?
0
Let x be 1 + 1 - (-119 + (0 - 0)). Suppose -4*h = -s + 255 + x, 1905 = 5*s + 5*h. Suppose -y = 2*p - 0*y - 181, -4*p = -4*y - s. What is the units digit of p?
2
Let r(t) be the first derivative of 27*t**4 + 5*t**3/3 - 7*t**2 + 22*t - 76. What is the tens digit of r(2)?
7
Suppose -108*p = -94*p + 28. Let y(j) = -167*j + 25. What is the units digit of y(p)?
9
Let g = -20096 + 30771. What is the units digit of g?
5
Suppose 51*k - 43*k = 2920. Suppose -3*b = -7*u + 5*u + k, 5*u - 960 = -2*b. What is the tens digit of u?
9
What is the hundreds digit of (7 - (-35)/10)*(-2488)/(-6)?
3
Let h = 3055 + 772. What is the hundreds digit of h?
8
Suppose 3*z + 4*v - 34706 = 0, 24 = 2*v + 38. What is the thousands digit of z?
1
Let n(u) = 7*u**2 + 12*u + 55. Let h be 8 - (-6)/(36/(-66)). What is the tens digit of n(h)?
8
Suppose -16*n + 2*n + 42 = 0. Suppose -4*m - o + 1149 = 0, -4*m + 8*o + 1143 = n*o. What is the units digit of m?
7
Suppose -17*f + 33360 = -23479 - 155015. What is the hundreds digit of f?
4
Let k(o) = -4*o**3 + 2*o + 2. Let g(c) = c**2 - 6*c - 9. Let h be g(7). Let q be k(h). What is the tens digit of ((-84)/(-20))/(2/q)?
6
Suppose -j - 29 = -2*t, -5*t = 3*j - 3*t + 63. Let f = -102 + 52. Let q = j - f. What is the units digit of q?
7
Suppose -2*g - 4*w + 148 + 1144 = 0, 0 = -3*g + 5*w + 1883. Let v = g + -88. What is the hundreds digit of v?
5
Suppose 65*l - 84087 = 60*l + 4*y, 0 = 2*y + 6. What is the thousands digit of l?
6
Let o be 11*(-4)/(-88) - (-26)/(-4). What is the units digit of (-4834)/o + ((-240)/(-18))/10?
7
Suppose -2*x - 6*x = 104. Let f = x - -17. Suppose -239 = -3*o - 4*z - 0*z, 0 = -4*o + f*z + 328. What is the tens digit of o?
8
What is the hundreds digit of (-779 + 0)/(12/(-96))?
2
Suppose -315*x + 291*x + 250056 = 0. What is the thousands digit of x?
0
Suppose -96*m + 101*m = 255. Suppose -8*a + 9*a + m = 0. What is the units digit of a/6*(1 - (10 - 1))?
8
Let w(n) = 115*n**2 + 2425*n - 9713. What is the hundreds digit of w(4)?
8
Let f(k) = 42*k**2 - 11*k + 84. Let l(v) = -31*v - 57. Let w be l(-2). What is the thousands digit of f(w)?
1
Suppose -47*w + 916854 = 276902. What is the hundreds digit of w?
6
Suppose 3836 = 10*b - 6*b. Let x = b + -336. Suppose x = 3*p - z - 162, 5*p + 2*z - 1312 = 0. What is the tens digit of p?
6
Suppose 2*t = -5*o + 22629, -453*t + 456*t - 33944 = -7*o. What is the ten thousands digit of t?
1
Suppose -33 = -8*b + 15. Suppose -5*n = 3*d - 926, d + 1534 = b*d - n. What is the units digit of d?
7
Let j(s) = -161*s**2 + 2*s + 15. Let q be j(-3). Let g = q - -2378. What is the units digit of g?
8
Let j = 2966 - -629. What is the hundreds digit of j?
5
Let a = 6328 + -3554. What is the hundreds digit of a?
7
Let m = -26 - -73. Suppose -176 = -2*b + 5*i, 352 = -3*b + 7*b - 4*i. Let p = b + m. What is the units digit of p?
5
What is the units digit of (-6)/(-15) + 850825/125?
7
Let g(k) = -k**3 + k**2 + 3*k + 3. Let d(v) = -v**3 - 3*v**2 + v + 4. Let b be d(-3). Let z be 22/33*-9*b/2. What is the units digit of g(z)?
0
Let j be (-3)/(-2) - 19195/(-22). Let r = j + -548. What is the hundreds digit of r?
3
Let m(r) = 17*r**2 - 1007*r - 180. What is the thousands digit of m(76)?
1
Let q(l) = -441*l + 2724. What is the tens digit of q(4)?
6
Let m(l) = 87*l**2 + 37*l + 215. Let v be m(-7). Suppose -6*o = v - 11641. What is the hundreds digit of o?
2
Let f = -131 + 1930. Suppose 5*s - 5274 - f = 2*b, 2*b = -2*s + 2832. What is the thousands digit of s?
1
Suppose 1517 = 8*y + 8141. Let h = y - -1254. What is the units digit of h?
6
Suppose 0 = -48*n + 8 - 8. Suppose n = 7*p + 541 - 6365. What is the tens digit of p?
3
Let a = 7811 - 267. What is the tens digit of a?
4
Let k(i) = -3*i**3 + 2*i**2 - 7*i + 12. Let u be k(-5). Let f = u + -7. What is the units digit of f?
5
Let m be ((0 - 0) + (-36)/9)*-47. Let k = m - -298. What is the units digit of k?
6
Suppose 15 = -4*r + 19. Let a be -4 + 8 - r*-78. Let q = a + 18. What is the tens digit of q?
0
Suppose 19*n - 2*n + 39583 = 290571. What is the thousands digit of n?
4
Let y be -1 - -3 - 8 - -731. Suppose -16*m = -11*m - y. What is the tens digit of m?
4
Suppose 4*t - 26 + 6 = 0. Suppose 0 = u - t*k - 3 - 19, -4*u - 2*k = 0. Suppose -u*d = -p + 27, 2*p = 4*p + 5*d - 81. What is the units digit of p?
3
Let g be -
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of 15269?
False
Does 12 divide 3964?
False
Is 3804 a multiple of 12?
True
Does 15 divide 13043?
False
Does 23 divide 8392?
False
Is 2496 a multiple of 13?
True
Does 15 divide 7605?
True
Is 19 a factor of 1729?
True
Is 34 a factor of 38592?
False
Is 2010 a multiple of 30?
True
Is 16 a factor of 10592?
True
Is 76334 a multiple of 179?
False
Is 40 a factor of 440?
True
Does 4 divide 1058?
False
Is 14 a factor of 9543?
False
Is 15 a factor of 22?
False
Does 17 divide 1853?
True
Does 6 divide 87?
False
Does 26 divide 598?
True
Is 3 a factor of 268?
False
Is 5914 a multiple of 3?
False
Is 17 a factor of 66011?
True
Does 10 divide 10410?
True
Does 56 divide 14177?
False
Does 25 divide 950?
True
Does 17 divide 461?
False
Does 17 divide 646?
True
Does 45 divide 416?
False
Is 156 a multiple of 12?
True
Does 51 divide 2805?
True
Does 29 divide 6148?
True
Is 20 a multiple of 5?
True
Does 16 divide 42400?
True
Does 75 divide 3900?
True
Is 70 a factor of 1890?
True
Is 52 a factor of 117?
False
Does 48 divide 10656?
True
Is 43 a factor of 774?
True
Is 111 a factor of 1998?
True
Is 13 a factor of 4511?
True
Does 27 divide 674?
False
Is 729 a multiple of 4?
False
Does 28 divide 756?
True
Is 27 a factor of 657?
False
Is 50 a factor of 100?
True
Does 39 divide 1560?
True
Is 23 a factor of 1150?
True
Is 1168 a multiple of 8?
True
Is 660 a multiple of 30?
True
Is 8489 a multiple of 153?
False
Is 16 a factor of 6861?
False
Does 3 divide 122?
False
Is 8816 a multiple of 76?
True
Is 3419 a multiple of 21?
False
Is 14 a factor of 1108?
False
Is 18 a factor of 6444?
True
Does 8 divide 12504?
True
Does 14 divide 244?
False
Is 57 a factor of 1938?
True
Is 23 a factor of 3772?
True
Is 5205 a multiple of 7?
False
Is 1937 a multiple of 49?
False
Is 33 a factor of 30932?
False
Does 10 divide 989?
False
Is 5 a factor of 2145?
True
Is 12816 a multiple of 165?
False
Is 2512 a multiple of 16?
True
Is 14 a factor of 5628?
True
Does 6 divide 121?
False
Does 9 divide 172?
False
Does 16 divide 7863?
False
Does 11 divide 1628?
True
Is 3631 a multiple of 122?
False
Is 5963 a multiple of 49?
False
Is 6 a factor of 294?
True
Is 4000 a multiple of 40?
True
Does 27 divide 24997?
False
Does 104 divide 522?
False
Is 12247 a multiple of 37?
True
Is 49 a factor of 74103?
False
Does 14 divide 924?
True
Is 11 a factor of 43428?
True
Does 4 divide 36?
True
Is 26 a factor of 260?
True
Is 11 a factor of 53465?
False
Is 7686 a multiple of 7?
True
Is 795 a multiple of 15?
True
Is 3060 a multiple of 85?
True
Is 12 a factor of 756?
True
Is 46 a factor of 2024?
True
Is 11914 a multiple of 14?
True
Is 118 a factor of 35268?
False
Does 43 divide 310?
False
Does 22 divide 5318?
False
Does 27 divide 7128?
True
Is 2448 a multiple of 24?
True
Is 653 a multiple of 11?
False
Does 9 divide 2277?
True
Does 21 divide 32911?
False
Is 1351 a multiple of 14?
False
Is 71866 a multiple of 213?
False
Is 5419 a multiple of 155?
False
Does 19 divide 5891?
False
Is 409 a multiple of 20?
False
Is 56999 a multiple of 17?
False
Is 36 a multiple of 2?
True
Is 79 a factor of 1264?
True
Is 35 a factor of 1470?
True
Is 975 a multiple of 20?
False
Is 12 a factor of 27606?
False
Does 173 divide 62905?
False
Does 3 divide 589?
False
Is 18 a factor of 13788?
True
Does 11 divide 10385?
False
Is 21 a factor of 36056?
False
Is 696 a multiple of 24?
True
Is 7728 a multiple of 54?
False
Is 180 a multiple of 18?
True
Is 351 a multiple of 2?
False
Is 24522 a multiple of 48?
False
Is 39820 a multiple of 5?
True
Is 8 a factor of 8792?
True
Is 527 a multiple of 31?
True
Does 6 divide 4507?
False
Is 10 a factor of 1573?
False
Is 167 a multiple of 45?
False
Is 34 a factor of 118?
False
Is 259 a factor of 36260?
True
Is 43120 a multiple of 140?
True
Is 73 a factor of 58434?
False
Is 41 a factor of 1249?
False
Is 17 a factor of 3332?
True
Does 296 divide 33152?
True
Is 211 a multiple of 8?
False
Is 380 a factor of 27360?
True
Is 15 a factor of 435?
True
Is 2197 a multiple of 12?
False
Is 11576 a multiple of 8?
True
Is 490 a multiple of 21?
False
Does 242 divide 25894?
True
Is 6189 a multiple of 7?
False
Does 17 divide 34?
True
Is 2219 a multiple of 22?
False
Is 40 a factor of 886?
False
Is 30 a factor of 66257?
False
Does 2 divide 254?
True
Is 135814 a multiple of 178?
True
Is 611 a multiple of 5?
False
Does 54 divide 47080?
False
Does 5 divide 180?
True
Does 26 divide 13572?
True
Is 5016 a multiple of 76?
True
Is 46 a factor of 10588?
False
Does 8 divide 5846?
False
Is 8 a factor of 320?
True
Does 12 divide 612?
True
Is 22 a factor of 43?
False
Is 48409 a multiple of 244?
False
Does 6 divide 2914?
False
Does 5 divide 700?
True
Is 4161 a multiple of 73?
True
Is 646 a multiple of 17?
True
Is 10 a factor of 205?
False
Does 107 divide 7340?
False
Does 29 divide 261?
True
Is 3186 a multiple of 27?
True
Is 6028 a multiple of 137?
True
Is 637 a multiple of 91?
True
Is 154 a factor of 7353?
False
Is 25 a factor of 509?
False
Is 36 a factor of 432?
True
Is 130 a factor of 9360?
True
Does 57 divide 5472?
True
Is 274 a multiple of 3?
False
Is 10044 a multiple of 62?
True
Is 3134 a multiple of 68?
False
Is 38 a factor of 65246?
True
Is 79032 a multiple of 178?
True
Does 5 divide 373?
False
Is 276 a multiple of 12?
True
Is 15 a factor of 68923?
False
Is 12000 a multiple of 12?
True
Is 63050 a multiple of 50?
True
Is 510 a multiple of 102?
True
Does 2 divide 5176?
True
Does 21 divide 1239?
True
Does 14 divide 11660?
False
Does 115 divide 115?
True
Is 11 a factor of 1310?
False
Is 16978 a multiple of 13?
True
Does 9 divide 8768?
False
Does 49 divide 1323?
True
Does 14 divide 5124?
True
Does 11 divide 1032?
False
Is 44968 a multiple of 11?
True
Is 2478 a multiple of 3?
True
Is 59204 a multiple of 14?
False
Is 699 a multiple of 8?
False
Does 10 divide 18050?
True
Is 159 a multiple of 22?
False
Does 8 divide 224?
True
Is 1187 a multiple of 18?
False
Does 10 divide 2030?
True
Is 78 a factor of 4758?
True
Is 29 a factor of 1972?
True
Is 7565 a multiple of 18?
False
Does 68 divide 1088?
True
Does 24 divide 7344?
True
Is 29 a factor of 10063?
True
Is 9 a factor of 3953?
False
Does 131 divide 13407?
False
Does 48 divide 74022?
False
Is 7072 a multiple of 26?
True
Is 30 a factor of 390?
True
Is 25844 a multiple of 91?
True
Is 15 a factor of 984?
False
Is 602 a multiple of 86?
True
Is 41 a factor of 574?
True
Is 57 a factor of 972?
False
Does 186 divide 37615?
False
Is 4662 a multiple of 21?
True
Does 15 divide 119?
False
Is 11 a factor of 12261?
False
Is 270 a multiple of 18?
True
Is 532 a multiple of 12?
False
Is 62 a factor of 1567?
False
Is 3492 a multiple of 13?
False
Is 12 a factor of 18842?
False
Is 5096 a multiple of 7?
True
Is 647 a multiple of 12?
False
Is 56 a factor of 2407?
False
Is 111 a multiple of 10?
False
Is 1501 even?
False
Is 73 a factor of 2383?
False
Is 137 a factor of 47005?
False
Does 13 divide 46631?
True
Is 9 a factor of 242?
False
Does 237 divide 3555?
True
Does 21 divide 8575?
False
Is 13 a factor of 494?
True
Is 1661 a multiple of 83?
False
Is 532 a multiple of 7?
True
Is 13 a factor of 685?
False
Is 22951 a multiple of 8?
False
Does 93 divide 11553?
False
Is 14 a factor of 571?
False
Does 24 divide 3521?
False
Is 138 a multiple of 8?
False
Does 67 divide 5833?
False
Is 78 a factor of 5139?
False
Does 103 divide 54538?
False
Does 4 divide 9748?
True
Does 21 divide 4200?
True
Does 17 divide 2136?
False
Does 33 divide 622?
False
Does 60 divide 1150?
False
Does 198 divide 2376?
True
Does 17 divide 26477?
False
Is 6322 a multiple of 95?
False
Is 12 a factor of 6660?
True
Is 18221 a multiple of 137?
True
Does 14 divide 2646?
True
Is 3391 a multiple of 25?
False
Does 33 divide 1056?
True
Is 21 a factor of 33?
False
Does 4 divide 1672?
True
Is 83 a factor of 2158?
True
Does 5 divide 390?
True
Is 12 a factor of 15168?
True
Is 36 a factor of 252?
True
Is 6794 a multiple of 86?
True
Does 23 divide 5869?
False
Is 8262 a multiple of 51?
True
Is 585 a multiple of 13?
True
Does 40 divide 325?
False
Is 8 a factor of 261?
False
Is 13 a factor of 15626?
True
Is 198 a multiple of 17?
False
Is 2980 a multiple of 45?
False
Does 189 divide 9261?
True
Is 21 a factor of 1605?
False
Is 945 a multiple of 12?
False
Is 392 a multiple of 2?
True
Does 7 divide
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4*y - 6 = 0. Solve -3*x + y = -4*d - d, x = 4*d + 9 for d.
-3
Suppose -4*q - 18 = -2*a, -a - 27 = -5*a + 5*q. Solve 5*j + 24 = -k, a*j + 2*j = 5*k for k.
-4
Let x be 2*4/(16/10). Let d(u) = -u**2 + 6*u - 5. Let h be d(x). Let i(w) = w**3 + w**2 - w. Let q be i(h). Solve -f = 2*b - 10, 0 = -3*b - f + 15 - q for b.
5
Let d(l) = -l**2 + 7*l - 4. Suppose -q = -2*b + 24, 2*b = -3*b + 5*q + 65. Let v = -5 + b. Let k be d(v). Solve 2*r - u + 6 = 0, 3 = -k*r + r - 3*u for r.
-3
Let s(a) = 2*a - 8. Let b be s(8). Let t = b - 7. Solve 2*w = 0, -w = 2*k - 3*k - t for k.
-1
Let h = 4 + 2. Let u be (h/4)/((-2)/(-12)). Suppose -4*t = -u + 1. Solve -13 = -2*j + 3*d, 0 = -d + t - 7 for j.
-1
Suppose 5*x = -5*f + 7 + 53, x - 2*f = 3. Let q(b) = b**3 - 8*b**2 - 6*b - 12. Let a be q(x). Solve -3*p + 5*t + 4 = -9, -a = -5*p + 5*t for p.
1
Let x = -6 - -8. Suppose -3*o = x*o - 25. Suppose 194*u - 199*u = -55. Solve -4*f = -5*q - o, -2*q = -0*f + f - u for f.
5
Let c = -13 - -18. Suppose 3*j = 4*j. Suppose j = c*h - h - 12. Solve -2 = 2*a - 0*q + 5*q, 2 = -2*a - h*q for a.
-1
Let s = 0 + 2. Let i be 2*(5/2 - 1). Let d be 1/i - (-1)/(-3). Solve -s*v = y + 3, 6 = -v - 5*y - d*y for v.
-1
Suppose i - l - 15 = 0, 2*i - l - 3*l = 24. Suppose 125 = 5*d + 3*u, -2*u = 5*d - 4*d - i. Solve 3*a + a - d = -4*k, 0 = 5*a - 3*k + 5 for a.
2
Let m(f) = -f - 1. Let g(l) = -l**2 + l - 1. Let c be g(0). Let z be m(c). Solve 2*u - 4*u = z, -5*u + 4 = h for h.
4
Let g be (3/3)/((-2)/54). Let i be 6/g - (-86)/(-18). Let l = -2 - i. Solve -a + 14 = a - 5*x, l*x + 3 = 3*a for a.
-3
Let f(g) be the first derivative of -g**4/4 - 2*g**3/3 - g**2 - 2*g - 2. Let q be f(-2). Solve -3*x + 4*s = q*x + 12, -5*s - 10 = 0 for x.
-4
Suppose 8*x - 11*x = -6. Suppose 3*v + 4*o + 14 = 43, 3*v = -x*o + 19. Solve -4*y + v*i + 16 = 40, -4*i = -3*y - 25 for y.
-3
Let h(c) = 1 + 3 - c + 0 + 0 + c**2. Let v be h(3). Suppose d = 5*j + 3*d - v, -4*j - 25 = -5*d. Solve j = k - 2, -4*w - 2*k + 19 = w for w.
3
Let m(n) = n**3 - 7*n**2 + 6*n. Let r be m(6). Suppose b - 3*j - 12 = r, -3*j - 3 = -2*j. Solve 10 = -w + 3*g, 0 = -b*w + 2*g - 3*g for w.
-1
Suppose 0 = -5*p - 20, -12 = -3*s + 3*p - 0. Solve 0 = -3*o + 5*t - 11, o + 3*o - 4*t + 4 = s for o.
3
Let w = 11 - 7. Solve 8*r - 3*r = 4*s + 21, -5*r = w*s - 29 for s.
1
Let i(s) = -5*s + 44. Let j be i(8). Solve -20 = -j*k, -3*q + 3*k - 10 = 5 for q.
0
Suppose 5*u - k + 42 = 0, 3*k - 5 = u + 9. Let z be (6/4)/((-4)/u). Solve z = 4*h - 4*b - 5, -5*h = 2*b - 10 for h.
2
Let t be (-4)/(-18)*-3*-3. Solve 2*y = -4*d - 12, -4*y + t*y + d + 8 = 0 for y.
2
Let k(s) = 2*s + 9. Let w be k(-4). Let v be (6/(-15))/(w/(-5)). Solve -v*c = 4*y - 2, 5*y = -2*c - c + 1 for c.
-3
Let p = -7 - 11. Let v be 220/18 - (-4)/p. Suppose -v = -0*l - 3*l. Solve t = -4*t - 4*j - 26, 0 = 4*t - j + l for t.
-2
Suppose 3*p + 3 = 4*p. Suppose 6 = p*r - r. Let j be 17/5 + 14/(-35). Solve -4*g + j*t = -2*t + 37, 12 = g + r*t for g.
-3
Suppose -t + 7 = i, 0 = -3*t + 1 + 5. Suppose 0 = 4*u + u - h - 51, 3*h + 53 = i*u. Solve 3*q = -5*z - 1 + u, -4*q + 12 = -z for q.
3
Let d = 1 - -9. Suppose -3*m - 5*t - 3 - 77 = 0, 5*m = -t - 126. Let l be (20/m)/((-4)/d). Solve 0 = -3*s - 2*j - 16, 0*s + 3*s - l*j - 4 = 0 for s.
-2
Let m = -6 + 8. Solve m*t = 5*t - 3, 3 = 3*b + 3*t for b.
0
Let q(j) = -11*j. Let t be q(-2). Let o = -6 + t. Solve 2*c + o = -5*f, 4*f - c = 2*c + 1 for f.
-2
Let t = 1 - -2. Suppose v - 3 = -t*v + 3*s, -2*s = 5*v - 21. Solve -4*f + 2*q = 4, -4*f + 6 = f + v*q for f.
0
Suppose -y + 30 = -4*y. Let b = -6 - y. Suppose 2 = -2*u - 4*a, -4*u - 2 = -3*a - 20. Solve -m = -b*s - s + 7, u = -m + s for m.
-2
Suppose -92 = -0*a - 4*a. Solve 5*g + 4*u = 9, -3*g = -2*u - 0 - a for g.
5
Let u = -2 - 4. Let c be (u/3 + 1)*-1. Let b be (-6)/3 - (-10 + c). Solve b*j = -k + 4*j - 3, 0 = 5*k - 4*j + 15 for k.
-3
Let p(h) = -h - 7. Let v be ((-180)/(-50))/(4/(-10)). Let r be p(v). Solve 2*b + 24 = -2*b - r*u, b - 5*u = 16 for b.
-4
Suppose 45 = -5*r - 5. Let b be r*1/(10/(-4)). Solve -b*l - 3 = -5*m, 2*l - 9 = -l for m.
3
Let t = -1 - -1. Suppose -3 - 25 = 2*a. Let m = -9 - a. Solve m*v = -2*j + 6*j + 40, -v + 4*j + 24 = t for v.
4
Let k be 2/8 + (-177)/(-12). Suppose -u + 4 = 3, 0 = -5*j - 5*u + k. Let h(c) = 10*c - 1. Let o be h(1). Solve o = -3*z + t, z - 5 = j*t + t for z.
-4
Suppose -3*z - 9 = -7*z + h, 2*h = -3*z + 15. Let u(p) = p**2 + 9*p + 3. Let w be u(-9). Solve 4*a + 7 = f, a - 4*a + w*f - z = 0 for a.
-2
Suppose 2*v + 8 = -4*l, -4*v - 4*l - 8 = v. Let j be -3*(0 + -2) - v. Suppose -j = -x - 0*n - n, -4*x + 19 = -n. Solve 2*z = q + 4, x*q = 3*z - 1 - 12 for q.
-2
Suppose 0 = 5*l + 4*r - 3*r + 13, 5*l + 2*r = -11. Let w(i) = -i**2 - 7*i - 4. Let v be w(l). Solve -3*t + v = -t - 2*u, 0 = 2*t - 4*u - 10 for t.
3
Suppose 2*u - 2 - 8 = 0. Let a = 36 - 26. Suppose -6 = -g + a. Solve -5*h - 13 = t, 3*h = t + u - g for h.
-3
Let z = 168 + -168. Solve z*t - 25 = 5*t, 2*c + 1 = t for c.
-3
Let x = 14 - -5. Let q = 22 - x. Solve d = -4*w + q, d + 7 = 2*w - 4*d for w.
1
Suppose 3*r = -2*r + 35. Let j(c) = -4*c**2 + 10*c - r + 3*c**2 - 2*c. Let l be j(7). Solve 2*d - 18 = 5*x + d, l = -x - d for x.
-3
Let j = -21 - -24. Solve -2 = t, 0 = -j*m + t - 7 - 0 for m.
-3
Let o = 3 - 2. Let h be 10*o/2*2. Suppose 4*v = -y + 8, 5*v - h = 4*y + y. Solve -3*k = -v*w - 11, -3*k + 13 = -5*w + 4*w for w.
2
Let i(l) = l**2 - 2*l + 1. Let s be i(1). Solve 2*j = -s*w - w - 8, 3*j + 14 = -2*w for w.
-4
Let z be ((-8)/10)/((-5)/25). Suppose 39 - z = h. Solve -h = -5*k - 5*q, -q - q = k - 10 for k.
4
Let x be ((-1)/(-3))/(4/36). Solve 2*i = n - 2*n - 7, 2*n = -x*i - 13 for n.
-5
Let b(q) = q + 10. Let c be b(-4). Suppose 4*y = 4*l - 1 - 15, -l - 8 = 5*y. Solve 2 = p - n + 1, l*n = 3*p - c for p.
4
Suppose i - 23 = -3*h, 0 = i + h + 4*h - 29. Solve -3*l - 2 = 2*d, -5*d + 2 = 4*l + i for l.
2
Let x(m) = m**2 - 2*m - 4. Let d be x(4). Solve -3*j = -2*a - 0*a - 2, d*a + 4 = -2*j for j.
0
Let b = 63 - 58. Solve -i - b*w + 20 = 0, 5*i - 7*i = w - 13 for i.
5
Let z(m) = 5*m - 1. Let k be z(1). Solve -2*s - 24 = -k*c, -3*s + 9 = 6*c - 3*c for c.
5
Suppose 12 = 8*h - 4*h. Solve 4*j = 4*c, 5*j - h*j + 3*c - 10 = 0 for j.
2
Suppose 1 = -4*w - d + 6, 5 = -4*w + d. Solve w = -2*v - s + 5, -v - 5*s - 19 = -2*v for v.
4
Suppose i = 5*w - 0*i - 20, -3*w = -i - 14. Let r(o) = 2*o**2 - 2*o - 1. Let x be r(2). Suppose x*q = -q. Solve -w*s + d + 5 = q, 3*d = 4*s + 8*d + 25 for s.
0
Suppose 0*q = 5*q - q. Solve 4*f - s = 0, q = 2*f - 5*f + 4*s for f.
0
Suppose 0 = -r - 3*j - 12, 0*j = 2*r + j + 24. Let l = r + 22. Solve 0 = 5*v + f + l + 10, 2*f + 7 = v for v.
-3
Let v(k) = 5*k - 9*k - 2*k + 7*k - 7. Let a be v(7). Solve 4*f + 3*s + 2 = 0, a*f + 3*s - 8 = f for f.
-2
Let t = 53 + -50. Solve q + i - 15 = -t*i, -4*q = 5*i - 27 for q.
3
Let j = -17 - -22. Solve -4*n + 7 = n - 4*f, n - 2*f = j for n.
-1
Let o(d) = 2*d - 17 - 4*d + 10. Let p be o(-5). Solve 3*h - 10 = -4*z, p*z - 5 = -3*h + 4*z for h.
2
Suppose -10 = -2*w + 2. Let f be ((-8)/w)/((-1)/3). Suppose 0 = 3*m + 2*d - 4, f*d = 3 - 19. Solve 14 = -5*b + 2*s + 3, -m*s = -12 for b.
-1
Let w be 2 - (0 + 0 + 3). Let t = 3 + w. Solve -3*g = -4*g + t*u + 3, -2*g - 8 = 3*u for g.
-1
Let r(j) = -j**2 - 8*j - 2. Let v be r(-7). Solve -v = h - 3*z, -3*z + 24 = 3*h + z for h.
4
Let n(y) = -5*y - 3. Let a be n(-3). Let r(c) = -c**2 - c**3 - 2*c - c + 3 - 3*c**2. Let f be r(-3). Solve -x + 4*z - a = 0, 4*x + z = f - 0 for x.
0
Suppose 5*z = 2*m + 4*z - 100, -4*z = 0. Solve 3*q - 10 = -o + 2*o, 5*o - m = -5*q for q.
5
Suppose 0*j + 2*j = 18. Let u = j - 2. Suppose -5*c + 10 = -3*d, -2*c - 2*d + 4*d + 4 = 0. Solve 0 = 4*g - 3*y + u, c*g + 3*y - y = 0 for g.
-1
Let c be 5 + 2 + (-2 - 1) + 1. Solve 4*p - c*g - 2 = 7, g = -5 for p.
-4
Let h(m) = m**3 - 7*m**2 - 7*m - 8. Let z be h(8). Solve -2*q + z*q - i = 1, -2 = -5*q - 4*i for q.
-2
Suppose -117 = -5*b - 4*p, -2*p - 133 = -5*b + 2*p. Suppose 0 = 2*z + 3*z - b. Solve -5*d = -z*q + 20, 4*d + 0*d + 16 = 0 for q.
0
Let g be (6/8 - 1)*-12. Solve 3 = 5*h + r + 1, g*h + 3*r = -6 for h.
1
Let u = 1 + -7. Let r be (-80)/u + 6/9. Let v be 48/28 + 4/r. Solve -3*g - 4*z = v*g - 15, 2*g + 2*z = 6 for g.
3
Let l(n) = n + 6. Let v be l(2). Solve 3*j - 4*z - 6 = -3*z
|
{
"pile_set_name": "DM Mathematics"
}
|
x - 3402943. Give u(626).
-7
Let h(f) = -f**3 + 181*f**2 - 2435*f + 371799. Calculate h(179).
16
Let w(h) = -16*h**2 + 1808*h + 7502. Calculate w(117).
14
Let b(m) = 47*m**2 + 481*m + 537. What is b(-6)?
-657
Let d(x) = -34*x**2 + 64*x + 305. Give d(9).
-1873
Let l(h) = -21*h - 213. Determine l(1).
-234
Let w(j) = 6344*j - 44429. Determine w(7).
-21
Let q(l) = 11*l**2 - 91*l - 209. Determine q(-3).
163
Let f(u) = 106*u**3 - 39*u**2 - 73*u - 1. Determine f(-2).
-859
Let s(r) = -r**2 - 4948*r + 371670. Give s(74).
42
Let z(u) = -u**3 - 51*u**2 + 23*u + 1345. Determine z(-50).
-2305
Let h(q) = -10*q**2 - 120*q + 287. Determine h(-14).
7
Let b(r) = -r**2 - 9387*r - 28139. Give b(-3).
13
Let v(d) = -16*d**3 + 1422*d**2 + 182*d - 329. Determine v(89).
27
Let p(h) = 5*h**2 + 1796*h + 12756. Calculate p(-7).
429
Let t(q) = -1590*q - 15873. Give t(-10).
27
Let m(z) = 519*z - 6194. What is m(12)?
34
Let n(m) = 27*m**2 - 26204*m - 38865. Calculate n(972).
15
Let w(m) = -153*m**2 - 823*m + 8. Give w(-6).
-562
Let r(x) = 2*x**3 + 37*x**2 + 29*x + 240. Give r(-18).
42
Let b(l) = 135*l + 6011. Calculate b(-44).
71
Let d(h) = -928*h**2 + 77030*h - 447. Determine d(83).
51
Let d(v) = 524*v + 11682. Determine d(-28).
-2990
Let i(p) = -1713*p - 21874. What is i(-12)?
-1318
Let p(z) = -3*z**2 + 19525*z - 175514. Give p(9).
-32
Let s(z) = -1387*z + 56870. Give s(41).
3
Let q(i) = i**3 + 119*i**2 - 2591*i + 1408. Calculate q(-138).
-2870
Let v(j) = -j**2 + 22194*j - 354889. Give v(16).
-41
Let t(g) = -96*g**2 + 26396*g + 1194. Calculate t(275).
94
Let i(z) = 10*z**2 - 1339*z - 138. What is i(134)?
-4
Let t(r) = -3*r**3 - 56*r**2 - 26*r + 130. Give t(-19).
985
Let i(c) = 45*c + 5628. What is i(-125)?
3
Let x(l) = l**3 - 378*l**2 + 5809*l - 6135. Determine x(362).
19
Let a(b) = 10*b**3 + 48*b**2 + 385*b + 1835. What is a(-5)?
-140
Let u(d) = 10737*d - 279169. Determine u(26).
-7
Let c(t) = 494*t - 11401. What is c(21)?
-1027
Let q(n) = n**3 - 653*n**2 - 1972*n - 2. Calculate q(-3).
10
Let z(h) = h**2 - 6815*h + 61269. Determine z(9).
15
Let t(m) = 3*m**2 + 529*m + 15510. Give t(-139).
-58
Let y(v) = 114*v**2 + 61*v - 69729. Calculate y(-25).
-4
Let l(i) = -i**2 + 202*i + 1250. Calculate l(-6).
2
Let h(w) = -888*w - 7998. What is h(-9)?
-6
Let i(f) = 2*f**3 - 2818*f**2 + 38855*f + 2874. What is i(14)?
4
Let q(k) = 368*k**2 - 6911*k - 1570. Determine q(19).
-31
Let q(h) = 509*h + 323221. Calculate q(-635).
6
Let i(j) = j**2 + 494*j - 3477. Calculate i(7).
30
Let n(z) = -z**2 + 79*z + 501812. Determine n(-670).
-18
Let x(h) = h**3 + 7*h**2 - 95*h + 432. Determine x(8).
632
Let b(t) = 55008*t - 770111. What is b(14)?
1
Let k(z) = -3*z**3 - 259*z**2 + 6262*z + 213. Give k(-106).
-635
Let w(t) = 53*t - 463. Give w(-18).
-1417
Let u(r) = 662*r - 2679. Give u(4).
-31
Let q(w) = -w**3 - 27*w**2 + 349*w + 3419. Determine q(-7).
-4
Let o(v) = 70456*v + 2606878. Determine o(-37).
6
Let z(b) = -11*b**2 + 2221*b - 2161. Calculate z(201).
-151
Let c(m) = 3448*m**2 - 541325*m - 1731. Give c(157).
-4
Let d(b) = -6*b**2 - 1267*b + 2345. Determine d(-213).
2
Let a(l) = -l**3 - 396*l**2 + 7018*l + 44. What is a(17)?
-7
Let n(l) = -147*l**3 - 13378*l**2 - 90*l + 83. Give n(-91).
-8
Let o(q) = q**2 - 607*q + 9535. Give o(16).
79
Let v(r) = -75150*r + 1277474. What is v(17)?
-76
Let w(v) = v**3 - 31*v**2 + 604*v - 1980. What is w(4)?
4
Let n(y) = -297368*y + 5947367. What is n(20)?
7
Let p(m) = -2380557*m - 9522214. Determine p(-4).
14
Let r(m) = m**3 + 139*m**2 + 850*m + 249402. Determine r(-145).
2
Let n(g) = -683191*g + 21862103. Calculate n(32).
-9
Let p(h) = 3953*h - 336042. Give p(85).
-37
Let c(q) = 3589*q - 78916. Give c(22).
42
Let p(o) = -o**3 - 105*o**2 - 1755*o + 32. Calculate p(-21).
-157
Let b(w) = w**3 + 302*w**2 + 8626*w - 446. Determine b(-32).
2
Let a(m) = -78*m + 7446. Determine a(91).
348
Let b(q) = -3291*q - 210615. Determine b(-64).
9
Let b(f) = 3855*f + 11607. Give b(-3).
42
Let i(l) = 4*l**3 - 19*l**2 - 78*l - 69. Determine i(-4).
-317
Let s(b) = -51*b + 2036. Determine s(44).
-208
Let s(q) = -2*q**3 + 236*q**2 - 1758*q - 242. What is s(110)?
-22
Let v(g) = 8*g**3 - 120*g**2 - 16*g - 196. Calculate v(15).
-436
Let z(b) = 5*b**2 + 75*b - 10999. Calculate z(-55).
1
Let s(z) = 143*z**2 - 1177*z + 100. Determine s(8).
-164
Let i(l) = 211*l - 14353. Give i(68).
-5
Let a(t) = -233*t - 21092. Give a(-89).
-355
Let p(i) = 337*i**2 + 35*i + 20. Determine p(-1).
322
Let i(y) = -473*y - 149080. Give i(-315).
-85
Let i(m) = 19*m**2 + 778*m + 209. Determine i(-40).
-511
Let s(t) = -8979*t + 3465904. Calculate s(386).
10
Let i(p) = -p**2 + 948*p - 80404. Determine i(94).
-128
Let z(a) = 139*a**2 - 1745*a - 180. Determine z(14).
2634
Let l(t) = t**2 + 63*t + 65. Determine l(-48).
-655
Let m(o) = -87108*o + 2613468. What is m(30)?
228
Let r(i) = -1289*i + 103124. Calculate r(80).
4
Let m(t) = 2*t**2 - 362*t + 16027. Determine m(105).
67
Let x(p) = -878287*p - 3513164. Give x(-4).
-16
Let n(a) = -96588*a + 579511. What is n(6)?
-17
Let l(r) = -r**3 + 122*r**2 + 510*r - 954. Determine l(126).
-198
Let i(v) = -v**2 + 2425*v - 28871. Determine i(12).
85
Let v(q) = -47*q + 2078. Give v(25).
903
Let l(a) = -a**2 - 28*a + 7672. Determine l(-102).
124
Let d(b) = -9*b**2 - 363*b + 4867. What is d(13)?
-1373
Let c(h) = h**2 - 403530*h - 8878107. What is c(-22)?
37
Let i(p) = 2*p**2 + 243*p - 83984. Calculate i(153).
13
Let v(u) = 587*u - 6522. Determine v(10).
-652
Let m(g) = g**3 - 5*g**2 - 527*g - 559. Determine m(26).
-65
Let x(o) = 2*o**3 - 68*o**2 + 325*o - 28. Determine x(6).
-94
Let j(v) = 1860*v - 12798. Calculate j(7).
222
Let b(r) = -38738*r - 309893. Determine b(-8).
11
Let x(n) = -2839577*n + 25556197. Calculate x(9).
4
Let f(r) = 272*r + 4746. What is f(-25)?
-2054
Let c(p) = 2*p**2 + 103690*p - 311076. Calculate c(3).
12
Let m(j) = -j**3 + 11*j**2 + 7*j - 564. Calculate m(0).
-564
Let h(r) = r**2 - 412*r + 12252. What is h(31)?
441
Let c(b) = 66*b - 2066. Give c(31).
-20
Let x(r) = -72*r**2 + 3710*r - 74. Determine x(52).
-1842
Let z(i) = -1362*i + 19061. Determine z(14).
-7
Let r(t) = t**3 - 272*t**2 - 23525*t - 1356. What is r(341)?
8
Let f(p) = -472*p - 12353. Calculate f(-26).
-81
Let w(r) = -15*r**3 + 26*r**2 - 103*r + 30. Give w(6).
-2892
Let p(q) = -q**2 - 96*q - 2092. Give p(-72).
-364
Let t(i) = 1047*i - 79563. Determine t(77).
1056
Let d(x) = -797*x - 38299. Calculate d(-48).
-43
Let s(p) = 2*p**3 + 208*p**2 - 1094*p - 172. What is s(-109)?
264
Let k(j) = -12*j**2 + 7495*j + 37461. What is k(-5)?
-314
Let u(v) = 30*v**2 - 11035*v - 1945. Determine u(368).
-105
Let a(i) = 82606*i + 991220. Determine a(-12).
-52
Let l(c) = -c**2 + 11180*c - 367712. Calculate l(33).
139
Let z(s) = 7791989*s + 70127904. Calculate z(-9).
3
Let z(m) = -1327*m + 628923. Determine z(474).
-75
Let a(g) = 13485*g + 377982. Determine a(-28).
402
Let k(g) = 45*g - 1522. What is k(33)?
-37
Let b(c) = -10*c**2 - 1942*c + 5506. What is b(-197)?
-10
Let d(c) = -126*c**3 - 2*c**2 + 14*c - 28. Give d(2).
-1016
Let r(z) = 2*z**2 + 377*z + 15978. What is r(-127)?
357
Let v(b) = -116*b - 9685. What is v(-89)?
639
Let k(t) = -28*t**2 - 3252*t + 81. Give k(-116).
545
Let a(k) = -81*k + 12865. What is a(129)?
2416
Let w(n) = 209*n + 4139. Calculate w(-6).
2885
Let l(m) = m**3 + 14*m**2 + 4322*m + 79075. Determine l(-18).
-17
Let s(x) = 3*x**3 - 3061*x**2 + 7127*x - 1006. Calculate s(1018).
12
Let o(p) = -2*p**3 - 859*p**2 - 5080*p + 2. Determine o(-6).
-10
Let y(q) = -2*q**2 + 145*q + 12125. Determine y(-46).
1223
Let u(y) = 21*y**2 + 1729*y + 16908. What is u(-71)?
10
Let a(x) = -840929*x - 17659537. Calculate a(-21).
-28
Let i(q) = -7726*q - 154111. What is i(-20)?
409
Let q(m) = 83*m**2 - 57*m - 156. Give q(-3).
762
Let z(n) = n**3 - 699*n**2 + 919*n - 154268. Give z(698).
-10
Let i(c) = -105*c - 3020. Give i(-29).
25
Let t(q) = q**3 + 59*q**2 + 2349*q + 132833. Calculate t(-58).
-45
Let g(m) = m**3 + 13*m**2 - 823*m - 4329. Give g(-5).
-14
Let b(n) = -267*n**3 - 169*n**2 + 169*n - 1. Calculate b(1).
-268
Let v(c) = -3*c**3 + 104*c**2 - 156*c + 96. Determine v(33).
393
Let d(f) = -3*f**2 - 2899*f - 14483. Determine d(-5).
-63
Let l(s) = -2*s**3 - 118*s**2 - 21*s - 1798. Calculate l(-59).
-559
Let g(y
|
{
"pile_set_name": "DM Mathematics"
}
|
f o?
4
Suppose -3*c + 16 = d, 0*d - 20 = -3*c - 5*d. Let z be 1674/30 + 1/c. Suppose 4*j + z = 6*j. What is the units digit of j?
8
Suppose -24*m = -26*m + 192. Let s = m - 61. What is the units digit of s?
5
Let z(a) = a**3 - 3*a**2 - 5*a + 4. Let v be z(4). Suppose -5*m + 15 = v, -2*m - 47 = -5*f - m. What is the units digit of f?
0
Let c(i) = -i + 156. Let w be c(0). Suppose -33*t + 29*t + w = 0. What is the units digit of t?
9
Let d = 1337 + -791. What is the units digit of d?
6
Let o(j) = -j**3 + 12*j**2 + 2*j + 15. Let k(m) = -2*m - 14. Let f be k(0). Let g = -2 - f. What is the units digit of o(g)?
9
Suppose -2*s + 635 = 5*j, -40*s = -42*s - 4*j + 634. What is the units digit of s?
5
Suppose -42*q = -73*q + 11005. What is the tens digit of q?
5
Let o be (-1 - (-3 + 1))*-38. Let v = 22 - 32. Let l = v - o. What is the units digit of l?
8
Let g be 12/3 + (-3 - -4). Let k = 3 + g. Suppose 60 = -k*x + 13*x. What is the units digit of x?
2
Suppose 0 = -5*m - 15, 2*w - 3*m = -0*w - 595. What is the hundreds digit of w*(-1)/(-2)*-1?
1
Let b = 377 - 641. Let n = -134 - b. What is the hundreds digit of n?
1
Suppose 3*q - 13784 = -2*s, 361*s - 357*s = 4*q - 18412. What is the units digit of q?
8
Let l = 694 + -448. What is the tens digit of l?
4
Let q be 10/5 + -2 - 306. What is the tens digit of q/15*(1 + 7/(-2))?
5
Suppose -24775 = -10*b + 17655. What is the hundreds digit of b?
2
Let v(b) = -b**3 + 7*b**2 - 7*b + 5. Let w be v(5). Suppose 0 = 3*o + o - w. What is the units digit of o?
5
Let r = 35 - 30. Suppose -18 = -t - f - 2*f, 0 = -3*t - r*f + 58. What is the units digit of t?
1
Let c be 0/(6/3*-1). What is the tens digit of (1 - 3) + 34 + c?
3
Suppose 0 = -3*b + 2*z + 107, 0*z - 4*z + 149 = 5*b. What is the units digit of b/2*16/12?
2
Let g(z) = 7*z**2 - 4*z. Let o be g(-2). Suppose 0*q + 2*q + 36 = 0. Let h = q + o. What is the tens digit of h?
1
Suppose -107 - 181 = -5*j - d, -2 = d. Let n = j + 45. What is the tens digit of n?
0
Let p = -13 - -13. Suppose -15*h + h + 1890 = p. What is the tens digit of h?
3
Suppose 72*a - 76*a = -8072. What is the thousands digit of a?
2
Let y(d) = -d**2 + d - 1. Let t(z) = -z**3 + 10*z**2 - 12*z - 5. Let c(h) = -t(h) - y(h). Let q be c(8). Let r = 18 + q. What is the tens digit of r?
4
Suppose -y = -4, -4*y + 3 = f - 16. Suppose 0 = f*j - j + 98. Let t = 70 + j. What is the units digit of t?
1
Let u(c) = c**2 - c + 19. Let s = 5 - 19. Let k = s - -14. What is the units digit of u(k)?
9
Let q(d) = 35*d + 12. Let x be q(10). What is the tens digit of (0 - 4/((-8)/x)) + 2?
8
Suppose 26 = 5*g - 4. Let b(m) = -3*m**2 - 2*m + 5. Let c(d) = 2*d**2 + 3*d - 6. Let q(x) = -3*b(x) - 4*c(x). What is the units digit of q(g)?
9
Suppose -2*h - 5 + 11 = 0. Suppose 0 = 5*n - h*n + 4*l + 6, n - 3*l = 17. Suppose -n*w = -4*w - 6. What is the units digit of w?
6
What is the units digit of (3 - (-108)/(-16))/(48/(-4736))?
0
Let t be 6 - ((-1)/1 + 3). Let m = 0 - -3. Let z = t - m. What is the units digit of z?
1
Let i(w) = 37*w**2 - 3*w - 6. What is the hundreds digit of i(-2)?
1
Suppose 4*w + 317 = 937. Suppose 2*a - 172 = -z, 5*a - 700 - w = -5*z. Suppose -z = -3*g - 35. What is the tens digit of g?
4
Let a be (2/(-6))/(9/(-243)). Suppose -10*v + a*v = 0. Suppose 2*o - 47 - 1 = v. What is the tens digit of o?
2
Suppose 2*z + 5*x + 195 = 0, 6*z = 10*z - 2*x + 354. Suppose 0 = -2*o + 3*k + 319, 3*k - 562 = -5*o + 183. Let r = z + o. What is the tens digit of r?
6
Let q(f) = 7*f + 1. Let c be (-6 - -5) + 0/(-2). Let z be q(c). What is the units digit of 2/z + (-186)/(-18)?
0
Suppose 5*d + 50 = -80. Let a = d - -62. What is the units digit of a?
6
Let j(n) be the first derivative of n**3/3 - 3*n**2/2 - 8*n + 18. Let r = 11 + -3. What is the tens digit of j(r)?
3
Let j(h) be the second derivative of h**3/3 + 24*h**2 + 28*h - 2. What is the units digit of j(-19)?
0
Let v(q) = q**2 + 2*q. Let g be v(-5). Suppose -4*l - 2*j = -12, 3*j = 2*l + 1 - g. What is the units digit of 46 - (2 + (l - 2))?
2
Let v(o) = -o + 3. Let z be v(-13). Suppose -3*f = -4*f + z. What is the tens digit of f?
1
Let c = 23 - 13. Let y(k) = 17 - c - 5*k**2 - 2*k**3 + 2*k**3 - k**3 + 4*k. What is the units digit of y(-6)?
9
Let u be -1*(-1 + 2) - 2. Let o = u + 6. Suppose 0*j = o*r + j - 66, 4*r + 2*j = 90. What is the tens digit of r?
2
Suppose 9*g - 102 = 12*g. Let u = g - -51. What is the units digit of u?
7
Suppose 5*m + 5*d - 4595 = 0, -18*m + 4*d - 1848 = -20*m. What is the tens digit of m?
1
What is the hundreds digit of -10 - 27/(81/(-3660))?
2
Let w = 19 - 21. Let a be (-8 - -4)*10/8. Let d = w - a. What is the units digit of d?
3
Suppose 4*d = -v - 0 + 18, -d - 2*v + 8 = 0. Suppose -2 = m - d. What is the units digit of (1/(-2))/(m/(-92))?
3
What is the tens digit of (-1)/(1/(-64)*4)?
1
Suppose 81*f - 5*u + 881 = 83*f, 0 = f + 3*u - 442. What is the tens digit of f?
3
Let d(o) = -5 + 4*o + 5 - 7 + 5*o. What is the tens digit of d(5)?
3
Suppose 2091 + 679 = 10*j. What is the tens digit of j?
7
Suppose 3 = -3*m, 0*q - 5*q + 234 = -4*m. Suppose 0 = 41*d - q*d + 715. What is the hundreds digit of d?
1
Let f(q) = 2*q**3 - 2*q + 1. Suppose 0 = -5*b, 0 = j - 6*j + 3*b + 10. What is the tens digit of f(j)?
1
Let k be (-2)/(-11) - (-37030)/(-22). What is the units digit of 6/8 - k/44?
9
Let r = 7422 + -4213. What is the thousands digit of r?
3
Suppose 116 = 4*c - 0*c. Let b(k) = -k**3 - 17*k**2 - 40*k + 18. Let w be b(-14). Let h = w + c. What is the units digit of h?
9
What is the tens digit of 1120/42*(-456)/(-20)?
0
Let x = -14 - -14. Suppose 0 = -x*z - z + 2. Suppose 0 = 4*w - g - 87 - 122, w + z*g = 41. What is the units digit of w?
1
Let j(n) = 194*n**3 - 3*n**2 + 9*n - 5. What is the hundreds digit of j(1)?
1
Let b = -101 + 57. Let c = -259 - -122. What is the tens digit of c/(-2) - (-66)/b?
6
Let m(i) = 5*i - 15. Let o(f) = f. Let u(j) = m(j) - 6*o(j). Let d be u(-15). Suppose d = -3*h + 54 + 39. What is the units digit of h?
1
Let c(s) = 2*s**3 + s**2 - s. Let j be c(-1). Let w be j/(3 + -2 - 4). Suppose w = x + x - 36. What is the units digit of x?
8
Suppose -p = -0*p - 241. What is the tens digit of p?
4
Suppose -1112 = -2*y - 8*u + 13*u, -3*u + 2718 = 5*y. What is the units digit of y?
6
Let b(d) = d**3 + 45*d**2 + 7*d - 13. What is the thousands digit of b(-43)?
3
Let q(s) = 6 - 12 + 13*s + 7 - 4*s. What is the tens digit of q(3)?
2
Suppose 2*u - d = -12, u + 1 = d - 5. Let t = u - -30. Suppose 0 = -5*s + i + t, 3*i + 9 + 15 = 3*s. What is the units digit of s?
4
Suppose z = 5*q - 17250, 118*q = 121*q + z - 10350. What is the hundreds digit of q?
4
Suppose -4*a + 0*q = -2*q - 82, -2*a = 5*q - 11. Let o = a + -19. What is the tens digit of o/(-5) - (-318)/10?
3
Suppose 3*t = -n + 1934, -7*n + 4*n - 3 = 0. What is the tens digit of t?
4
Let v = 49 - 32. Let b = v + -16. Suppose j - 3*j = m + b, 5*m - 6 = j. What is the units digit of m?
1
Let u = -2345 + 3035. What is the units digit of u?
0
Let o = 1861 + -1116. What is the hundreds digit of o?
7
Suppose -3*d = -18 - 3. Suppose -d*m = m - 1304. What is the hundreds digit of m?
1
Suppose 45*y = 46*y + 9. Let q(x) = x**2 - x + 26. Let h be q(0). Let o = y + h. What is the units digit of o?
7
Suppose 0 = -0*a + 3*a. Let k be 89 + a + -3 + 5. Let t = -55 + k. What is the tens digit of t?
3
Let x(g) = 11*g**3 - g + 2. Let j = 5 + -3. What is the tens digit of x(j)?
8
What is the hundreds digit of (5 - (-226)/(-3))/(4/(-24))?
4
Let s(r) = r**3 + 15*r**2 + r + 18. Let k = -46 + 31. Let f be s(k). Suppose f*v - 3*x = -6*x + 231, 0 = -5*v - 4*x + 385. What is the units digit of v?
7
Suppose -2*i = -3 - 3. Suppose -i*q + 547 - 56 = 4*z, -3*q = 2*z - 253. What is the hundreds digit of z?
1
Suppose -13*a + 2451 = -6428. What is the units digit of a?
3
Suppose 216 = -4*x + 8*x. Let v = x + 5. What is the tens digit of v?
5
Let x(z) = z**3 + 20*z**2 - 4*z + 43. What is the tens digit of x(-20)?
2
Let y be -1 + ((-11670)/6)/(-5). Let v = 602 - y. What is the hundreds digit of v?
2
Let h(p) = 2*p**2 + 11*p - 13. What is the units digit of h(7)?
2
Let s = 246 + -57. What is the tens digit of 1/((-3)/(-2))*s?
2
Let b = 44 + -26. What is the units digit of -2 + b/3 - -30?
4
Suppose -5*m - 2*v = -4*m - 367
|
{
"pile_set_name": "DM Mathematics"
}
|
(d) -4/7 (e) -1/2
c
What is the nearest to -2 in 3, 22, -17.43, -2/55?
-2/55
What is the closest to 0.06 in -23, -3, 1421.6, -0.2, -0.4?
-0.2
Which is the nearest to 0.1? (a) -66 (b) 0.04 (c) -531 (d) 5 (e) 4 (f) 1
b
Which is the closest to 0.4? (a) -4/3 (b) -0.3 (c) 0.3 (d) 32298
c
What is the closest to 0.1 in 0, 70, 3/4, -2/21?
0
Which is the nearest to 0.2? (a) -3 (b) 3 (c) 996 (d) 4/3 (e) 4 (f) -0.1
f
What is the nearest to -29 in 126, 0.3, -1, -4824?
-1
What is the nearest to 0.1 in -1/3, 8, 3, 616793?
-1/3
What is the closest to 61 in -2/7, -0.062, 3, 0.3, 2/63?
3
What is the closest to -2/7 in 0.77, 1, 2/63, -0.06574?
-0.06574
Which is the closest to 4? (a) 13 (b) 2 (c) -4 (d) 3/635
b
Which is the nearest to -328? (a) -6/11 (b) -1.8 (c) 9/4
b
Which is the closest to -3? (a) 2/7 (b) 7.54 (c) 0.051 (d) 6
c
What is the nearest to -10 in -0.1, 306, -0.4, -1, -2.3?
-2.3
Which is the closest to 3.2? (a) 0.59 (b) -12 (c) 17
a
Which is the nearest to -2? (a) -1/5 (b) -7 (c) 1 (d) -0.4 (e) 1/147 (f) -15
d
Which is the nearest to -0.332? (a) -5 (b) 0.08 (c) 2.4
b
What is the nearest to -2/79 in -10/77, 1/35, -4, 2?
1/35
Which is the closest to -188? (a) -13/5 (b) 8 (c) -0.13
a
Which is the nearest to 4/5? (a) -0.04 (b) -2/5 (c) -3 (d) -4.1 (e) 53 (f) 2/5
f
What is the closest to 34/3 in -1.7, 3, 1/6, 2/5?
3
Which is the nearest to 4? (a) -26/711 (b) -4/3 (c) -1/6
a
What is the nearest to 2/7 in 5/4, 431601, 5?
5/4
Which is the nearest to 80/3? (a) 1/3 (b) -302 (c) -38 (d) -2 (e) 1/6
a
Which is the nearest to 0? (a) 28.816 (b) -3.4 (c) -2
c
What is the closest to 2/3 in -3, 0.0463, -2051?
0.0463
Which is the closest to -0.2? (a) 3 (b) -0.8167 (c) 0.2 (d) -0.05 (e) -0.37
d
What is the nearest to -1 in -2/3, -1/6, 28770, -2, -0.5?
-2/3
What is the nearest to -16312 in -5, 1, 2?
-5
What is the closest to -4 in 419/2, -3/7, 5, -46, -5?
-5
Which is the nearest to -538? (a) 31 (b) 12/7 (c) 14
b
What is the closest to -0.008 in -2/5, 33, -3, -6, -5/3?
-2/5
Which is the nearest to 16/5? (a) 0.4 (b) -60621 (c) 0.1
a
Which is the closest to 997? (a) -1 (b) 1.1 (c) -2 (d) 7 (e) -5 (f) 5
d
Which is the nearest to -8? (a) -2 (b) -1404159 (c) -4/5
a
What is the closest to -92 in -0.6, 2, -0.13?
-0.6
What is the closest to 3.38 in 2/15, 17.1, 33.6?
2/15
What is the nearest to 16 in -77/501, -2.1, 3/2?
3/2
Which is the nearest to -0.2? (a) 4 (b) 87/7 (c) 2/3 (d) -0.5 (e) -20/3
d
What is the nearest to 0.8 in 2/13, 2.3, -1/9, 3/10, 1?
1
What is the nearest to -391 in 3, 1, 8, 0.09, -0.2?
-0.2
Which is the nearest to 6? (a) -15/77 (b) -3/4 (c) -1/4 (d) 0.72 (e) -0.4 (f) -2
d
What is the closest to -12/5 in 2/12033, 1/5, 0.5?
2/12033
Which is the closest to -1333? (a) 0.3 (b) -3 (c) -2 (d) -2/15
b
What is the nearest to -3.18 in -3, 93, -0.05, 1/8?
-3
What is the closest to -5 in -46904, 5, -0.06, 0.4, 0?
-0.06
What is the closest to -0.1 in 1, -0.7, 1/5283, 0.08, -2?
1/5283
Which is the closest to -1/4? (a) -0.1 (b) -2544 (c) -0.7 (d) 2 (e) -0.6
a
Which is the nearest to 1? (a) 6 (b) -0.4 (c) 2/77097 (d) 0.3 (e) -25
d
Which is the nearest to 1? (a) -0.7 (b) 73 (c) 6/5 (d) -1/7 (e) 0.2
c
What is the closest to -1 in -19, 2214/7, -0.3, 0.55?
-0.3
What is the closest to -3/5 in -675, 1/6, -1/3, 0.4, -8?
-1/3
Which is the closest to 117? (a) -2/9 (b) 5218 (c) -1/6 (d) -4
c
Which is the closest to -0.1? (a) -0.0098 (b) 1217 (c) 16 (d) 2
a
What is the closest to -0.1 in -212.17, 1/8, -4.2?
1/8
What is the nearest to 2 in -0.0687, -0.8, 620?
-0.0687
What is the closest to 0 in 4, 0, 2, -14410112?
0
Which is the nearest to 0.1? (a) -4 (b) 2.9 (c) 5 (d) -20/31 (e) 3
d
What is the closest to -3/5 in -2/15, -58/9267, 4.5?
-2/15
What is the nearest to 3 in -110, 0.44, 3, 3/4, 9?
3
Which is the nearest to 0.059? (a) -1/6 (b) -1 (c) 69 (d) -5 (e) 1/24
e
What is the closest to -2/7 in -4, -1/10, 11, -0.5, 1160?
-1/10
What is the nearest to -5/8 in 0.05, 738, 2/9, 2/5, -0.2, -0.3?
-0.3
What is the closest to -1 in 0.4, 0.5, 7186, 113, -24?
0.4
Which is the closest to -0.1? (a) 1 (b) 11.34957 (c) 8
a
Which is the nearest to -11? (a) 3 (b) -0.06 (c) 1 (d) -9/7 (e) -9
e
What is the closest to 1 in -0.2, 9153, 0.1, -21, 5?
0.1
Which is the nearest to 0.1? (a) 2 (b) -2/15 (c) 1311 (d) -0.28
b
Which is the closest to -7507? (a) -4 (b) -7 (c) 0.6 (d) -5
b
What is the nearest to 0.3 in -2/209, 2/3, -84, -0.06?
-2/209
What is the nearest to -3 in -3.7, -2/61, 3.1, -4, 3, 2?
-3.7
What is the nearest to 6 in 0.8, -0.26, 2/39, -4, 168/11?
0.8
Which is the nearest to -40? (a) -5 (b) 4 (c) -2/3 (d) -2/5 (e) -1032
a
What is the closest to 1 in -2, -0.11, 0.08, -2022?
0.08
Which is the nearest to -3? (a) -0.2 (b) -5440/53 (c) -2
c
Which is the closest to -11? (a) 0 (b) -218 (c) 3/7 (d) 1 (e) -28/11
e
What is the nearest to -1.342 in 124, -0.2, -0.13, -0.3?
-0.3
Which is the nearest to 1/2? (a) -2/21 (b) -12 (c) -80125 (d) -2/3 (e) 0.2
e
Which is the closest to -1/468? (a) -3 (b) 6 (c) -1/95 (d) -1
c
Which is the closest to -0.008? (a) 2 (b) -5 (c) 1 (d) 4 (e) 3.6 (f) -6
c
What is the nearest to 0 in -1035, 47/5, 0.06, 1/3?
0.06
What is the closest to -0.02 in -0.3, 2, 6, -2597, -2?
-0.3
What is the closest to 17 in -0.0258, 5, 1.67?
5
What is the nearest to -3 in 0.1, -7/3, 1/19, 2/3, 4?
-7/3
What is the closest to -6.56 in 2/11, -3/13, -1/7, 5, 24, -2/5?
-2/5
What is the closest to 26 in -1.8, 647, 0.01?
0.01
What is the closest to -2/5 in 1529, 2/5, -21, 4, -6/11?
-6/11
Which is the nearest to 2? (a) -3/2 (b) 1/20 (c) -6 (d) -1/7 (e) 1.08
e
Which is the nearest to -0.2? (a) -7.4 (b) 1/20 (c) -1 (d) 3 (e) 1
b
What is the nearest to 0.1 in 4, 2/7, 8/47, 19.1?
8/47
Which is the closest to 3? (a) 1 (b) -2 (c) 0.103 (d) 0.2 (e) -0.04
a
Which is the nearest to 26? (a) 0.072 (b) 2 (c) 7164
b
Which is the closest to 2? (a) 0.4 (b) -3 (c) 1.8 (d) 0.87 (e) 11
c
What is the nearest to 0.8 in 10, 5, -131.25?
5
Which is the closest to 3? (a) -62 (b) 365 (c) -2/25 (d) -0.4
c
Which is the closest to -1/2? (a) 2 (b) -111 (c) -5 (d) -4/679
d
Which is the nearest to -0.1? (a) 2/9 (b) 0.08 (c) 25 (d) -234 (e) 0.5
b
What is the nearest to 102/13 in -0.21, 0.3, -1/6, 5, 0.5?
5
Which is the closest to 20? (a) -1/6 (b) 0.4 (c) 2/299 (d) 2/10523
b
What is the nearest to 2.2 in -0.34, 0.4, 42, -9/4, -2/15?
0.4
Which is the nearest to -7.4? (a) -1/9 (b) -5 (c) -0.5 (d) -22
b
Which is the closest to -1982? (a) 2 (b) 4/5 (c) 27
b
Which is the nearest to 107? (a) 2 (b) 5 (c) 231 (d) -6
b
What is the closest to -1/18 in 5, 0.57, -0.2, 6/865?
6/865
Which is the closest to 5? (a) 0.14 (b) -6 (c) 0.4 (d) 34499 (e) -5
c
Which is the closest to -2? (a) 0 (b) 0.3 (c) -3/7 (d) 573.4 (e) -3
e
What is the closest to 2/3 in 0.5, 0, -117, -20, 2/5, -2?
0.5
What is the closest to -1 in 2/27, -3/2161, -1/6, 4?
-1/6
Which is the closest to -169? (a) 0.3 (b) -30 (c) -1 (d) -0.05 (e) 1
b
Which is the closest to -2/11? (a) 2096 (b) -0.5 (c) -3 (d) -35
b
Which is the closest to -2.1? (a) 19/2 (b) 2 (c) -0.036127
c
Which is the closest to 0.1? (a) 3/2 (b) 31/3 (c) 0 (d) -0.3 (e) 6547
c
What is the nearest to -8 in 36/11, -232, -0.1, 3/2?
-0.1
Which is the closest to 2/5? (a) -3 (b) 7 (c) 668.258 (d) -0.5
d
What is the closest to 5/318 in 130, 0.1, 0.2, -2/19?
0.1
Which is the nearest to 270? (a) -1/8 (b) 0.4 (c) -5 (d) -2 (e) 67.772
e
Which is the closest to -2? (a) 0.691727 (b) 0 (c) -13
b
What is the nearest to -2/5 in -1482, 17, 0.4?
0.4
What is the closest to 0.14 in 466785, 0.2, -0.3?
0.2
Which is the nearest to 254.18? (a) -0.1 (b) 2/13 (c) 0 (d) 2
d
Which is the closest to -5? (a) 1.2 (b) 0.5 (c) -0.12 (d) -4/7 (e) -0.069 (f) -2/7
d
What is the nearest to -116 in -1, 570, 1/7?
-1
What is the nearest to 619 in 5, 3, -3.9, 3/7?
5
Which is the closest to 2/5? (a) 11/5 (b) 1/4 (c) 6 (d) -4/15 (e) -244 (f) -0.9
b
Which is the closest to 49? (a) -12813 (b) 3 (c) -11 (d) 4
d
What is the nearest to 2 in 0, -2/19, -1, 89, 2?
2
Which is the nearest to -0.1? (a)
|
{
"pile_set_name": "DM Mathematics"
}
|
- -25708?
25708.087
Subtract -13998 from -0.75.
13997.25
What is the distance between -2.374 and 0.4?
2.774
0.1+0.064
0.164
0.2+-9974.2
-9974
Add 1 and -385.
-384
Subtract -0.3 from -659675.
-659674.7
Sum -0.73 and -0.0805.
-0.8105
Calculate -19.8 + 0.02.
-19.78
What is 0.9 - -68?
68.9
Calculate -0.5 - 129932.
-129932.5
Put together -0.122 and 8.
7.878
Total of -7 and -0.069494.
-7.069494
Work out 115 - 301.
-186
What is 0.09 + 893236?
893236.09
Calculate -67 - -295.
228
16937 + 0.05
16937.05
What is -0.4571 - 0.5?
-0.9571
What is the difference between -1.1 and 2.214?
3.314
-0.9+-11803
-11803.9
Add together 186371 and -5.
186366
Add together 117.159 and 1.
118.159
What is 29.26688 take away -1?
30.26688
Sum 13357 and 5.
13362
-0.06 - 0.10931
-0.16931
Sum -6740 and 1014.
-5726
Add together -16.3 and -8431.
-8447.3
What is the difference between 5.9 and 1298?
1292.1
Subtract 2451 from -0.3.
-2451.3
-774.5 + -1
-775.5
What is 75 less than 2?
-73
What is 23.3 plus 295?
318.3
What is the difference between -8 and -932?
924
Sum 837 and -270.
567
What is 0.927 minus -0.5?
1.427
What is 45 minus -7279?
7324
Subtract 13192 from 1.4.
-13190.6
Work out -408 - -0.04.
-407.96
What is -1.6 - 15.2?
-16.8
What is the distance between -0.339 and 0.2?
0.539
What is 0.563 plus 0.628?
1.191
Put together -0.5 and -26.58.
-27.08
Sum -501 and 18.69.
-482.31
Total of -634 and -43.
-677
What is -0.01007366 take away -0.3?
0.28992634
Calculate 0.12 - 12.722.
-12.602
-22.81 - -74
51.19
3775+-0.4
3774.6
What is -0.6 - 0.07149?
-0.67149
Work out -43 - 0.147.
-43.147
What is 5697 take away 3?
5694
Calculate 6671 - 472.
6199
What is -4 + -0.602?
-4.602
-12203+5
-12198
Subtract -0.46553 from -0.08.
0.38553
What is the distance between -0.387 and -35.03?
34.643
Put together -175 and 10.
-165
Add 0.009 and 119.7.
119.709
0.82+-97951
-97950.18
What is -1428 plus 2?
-1426
What is -0.34 take away 0.2?
-0.54
What is 4 + 724191?
724195
What is -45887 plus -0.256?
-45887.256
Sum 2 and 0.51481.
2.51481
Subtract -0.3 from 1.58.
1.88
What is 676 plus 1.12?
677.12
What is 0.3 plus 19.333?
19.633
What is -633.71 take away 0.2?
-633.91
-0.409+-52.4
-52.809
0.3 - 62013
-62012.7
Add together -116 and -0.44.
-116.44
0.3 + -2930
-2929.7
-464 - 10
-474
-0.1+555747
555746.9
Add together 45407 and -0.015.
45406.985
-18161+-34.1
-18195.1
Sum -2286 and 4.
-2282
What is 0.1 minus -1966?
1966.1
What is -891059 minus -2?
-891057
Calculate 0.15 + -98937.
-98936.85
Add together -8 and -0.069.
-8.069
Work out 877 + -0.1.
876.9
Sum 0.0554045 and -0.4.
-0.3445955
Subtract -2.6 from -0.10132.
2.49868
What is 536.16 plus -0.2?
535.96
Work out -3 + 936693.
936690
Add together -0.3 and 1115.
1114.7
Calculate -17.1 - -646.
628.9
Sum 1.5 and -359.
-357.5
What is -0.86 + 0.69?
-0.17
Work out -0.075731 + -1.
-1.075731
Total of -254 and -9.
-263
Subtract 7 from -10518.
-10525
Calculate 1388 + -0.4.
1387.6
What is -7.97 minus -6?
-1.97
What is 193 minus -0.0488?
193.0488
Add -3 and -115.
-118
What is the difference between -3 and -107.1?
104.1
What is 4 take away 0.4542?
3.5458
Add -0.4 and -1.8559.
-2.2559
What is -109290 + -0.4?
-109290.4
What is 1.2676 minus -0.05?
1.3176
What is -187.5 plus -0.3?
-187.8
What is -3 take away -366?
363
What is 0.125 minus 0.215?
-0.09
Put together -178.2 and 2.
-176.2
Calculate -1 + -717.14.
-718.14
Put together -0.2 and -0.0664.
-0.2664
Add together 6 and -0.1035.
5.8965
What is -29292 less than -0.2?
29291.8
What is 2.8 - 262?
-259.2
Add 213083 and -1.6.
213081.4
Calculate -6 - 1.0727.
-7.0727
Add -0.6 and -125.
-125.6
What is -1357215 + 4?
-1357211
Work out 3.8 - 309.8.
-306
Add 1451 and -2.
1449
-58 + -56396
-56454
What is the difference between -1 and -3455.7?
3454.7
What is -2 plus -506?
-508
What is 1.519 + 2?
3.519
0.01 - 8.53
-8.52
What is 9583 less than -0.2?
-9583.2
What is -0.5 less than 0.0469?
0.5469
Calculate 0.1 + -0.2382.
-0.1382
What is -0.8 - 360672?
-360672.8
-2.86 - 0.7
-3.56
What is 2.697 plus 360.4?
363.097
Subtract -0.5 from -491287.
-491286.5
Put together -91 and -58.
-149
Total of -0.032 and -433.
-433.032
Calculate 2493 - -1008.
3501
Calculate 640.7 + 2.07.
642.77
What is -0.044 minus 0.025?
-0.069
-0.0176 + 0.4
0.3824
Work out 0.2 - 6410.
-6409.8
What is -0.4 plus -1343?
-1343.4
-10556.34+-2
-10558.34
Work out 18.9 - 0.29.
18.61
Subtract 5680 from -0.36.
-5680.36
Put together 0.09 and -19.57.
-19.48
What is the difference between 0.117 and -2.677?
2.794
Subtract 343 from -0.3.
-343.3
What is -1107 take away 7?
-1114
Subtract 1.1 from -1560.874.
-1561.974
Calculate -18.7489 - 1.
-19.7489
0 - 3355
-3355
What is the difference between -1 and -104852?
104851
Sum 0.1 and -37077.
-37076.9
What is -0.1 - -350?
349.9
-2 + 1015
1013
What is 0.05 minus 75?
-74.95
Add 3 and -7.796.
-4.796
Subtract 0.6 from -1662.
-1662.6
What is -42 take away 37?
-79
Calculate 11.4 - 0.3.
11.1
What is -1.52 minus 0.12?
-1.64
0.502192+0.4
0.902192
What is -2.412 less than 17.2?
19.612
6432 + 0.9
6432.9
Calculate 0.21 + 1665.
1665.21
240744 - -8
240752
Work out -0.3 + 21.166.
20.866
Calculate -112.9 - -0.61.
-112.29
What is -2448 + 0.06?
-2447.94
Subtract -16550 from 0.1.
16550.1
What is the difference between 0.1231598 and 2?
1.8768402
Subtract -18031 from 1.23.
18032.23
What is -133.7 - 9.1?
-142.8
What is the distance between -153 and 0.3?
153.3
Put together 0.1 and -360.
-359.9
Calculate 1228119 + -0.5.
1228118.5
Subtract -72 from -73.
-1
Calculate -5.26 + 1.
-4.26
Calculate 0.005 + -0.109837.
-0.104837
Put together -478 and -481.
-959
What is -38 - -14364?
14326
What is 2230 plus -766?
1464
Calculate 721 - -0.126.
721.126
Add together 419 and 0.5.
419.5
Sum 593 and 105.
698
What is -2.1 less than -1.4?
0.7
Add together 132.4 and 0.5.
132.9
140 - -27
167
Work out -0.5 + 13.35077.
12.85077
-0.0536+82
81.9464
What is -0.013 take away -56.5?
56.487
What is 0.0136115 plus -0.3?
-0.2863885
Put together -1165974 and -1.
-1165975
Work out -11.4 - 1.7.
-13.1
Add 8426 and 27.
8453
-0.4 - -719
718.6
0.31939+29
29.31939
-362 - -4
-358
Total of -28271 and -179.
-28450
-6+0.13932
-5.86068
What is -0.432 less than -28165?
-28164.568
Calculate -1363 - -2.
-1361
Total of -0.4 and 1379.
1378.6
Subtract 5 from -8.569.
-13.569
Put together 0.0468 and -4.
-3.9532
What is 88.561 - 7?
81.561
0.010099 - -12
12.010099
What is -43 - -107?
64
Add 0.02 and 1.7442.
1.7642
Put together -34782 and -0.05.
-34782.05
What is -76481 + -3?
-76484
What is the difference between 53831 and 1?
53830
What is the difference between -0.6 and 5.48?
6.08
0.18+-5.67
-5.49
Calculate -0.9 - -4963.2.
4962.3
541+-4
537
Subtract -0.7 from -480.
-479.3
-0.4+2058
2057.6
Work out -887 + -104.9.
-991.9
Work out 1 - 24795.95.
-24794.95
Add together -3.4 and -40.31.
-43.71
Sum 61 and 2.3.
63.3
What is 2 minus 0.0803?
1.9197
Subtract 0.007 from 5579.
5578.993
Total of -1.7 and -20.12.
-21.82
What is -2317 take away 0.3?
-2317.3
What is -215 take away 46?
-261
Total of -6181.7 and 0.9.
-6180.8
-0.9 + 11163
11162.1
What is -78 minus -1119?
1041
Put together -127 and -0.4.
-127.4
What is the difference between -347047 and 5?
347052
Calculate 57.9 + 0.1.
58
What is 79040 minus 1?
79039
Add 9948 and -0.2.
9947.8
Total of -16.724 and -0.34.
-17.064
Work out -1340.581 + 0.2.
-1340.381
Put together 3056 and -2.
3054
Total of -95 and -6379.
-6474
What is 26 minus 2.1?
23.9
Add -110.9 and 0.173.
-110.727
Sum 7067 and 0.4.
7067.4
2.3908 - 4
-1.6092
What is 13945 plus 3?
13948
What is 21576 + -2?
21574
Put together 700 and 18.
718
What is -0.7 plus 191.845?
191.145
What is -1 take away 93.7?
-94.7
-21+-0.7368
-21.7368
189 + 114.4
303.4
What is 71837 - -22?
71859
What is -0.2 - -217?
216.8
What is -0.1 take away 106658?
-106658.1
Put together -35.3 and -421.
-456.3
Add together 0.0714 and -355.
-354.9286
What is 207671 - 22?
207649
What is 0.7 + 799542?
799542.7
-0.2114 - 0.159
-0.3704
Work out -2 - 0.88527.
-2.88527
What is 24 take away -5.01?
29.01
Total of -7801 and -50.
-7851
What is the difference between 0.2 and 825581?
825580.8
Put together -9 and -32.
-41
Calculate -9.2 - 253.2.
-262.4
What is -2.9487 less than -8?
-5.0513
Sum 0.2 and -1748.3.
-1748.1
-2+2.5147
0.5147
Total of -9 and -201288.
-201297
Sum -0.637 and 1946.9.
1946.263
|
{
"pile_set_name": "DM Mathematics"
}
|
(d) -0.4
c
Let u = -13 + 25. Suppose -9*w + 3*w = u. What is the closest to 0.05 in w, 2/13, 0.4?
2/13
Let o = 22672 - 22674. What is the nearest to 0.1 in -5/2, o, 2/885?
2/885
Let f = -3998.3 + 3996. Let t = 11 - 15. Which is the closest to -0.05? (a) f (b) t (c) 1/4
c
Let w = -2 + -1. Let a = -128548097/155452290 - -8/167153. Let r = 1/155 - a. What is the closest to -2/3 in w, 5, r?
r
Let o = 3 + -2. Let w(u) = -u**2 + 23*u + 140. Let r be w(27). Let q be 16/r - (-1 + (-11)/(-2)). Which is the nearest to 0? (a) o (b) 2/7 (c) q
b
Let s = -0.04684 - -4.04684. Let a be 11/(-55) + 2/(-5). What is the nearest to -0.1 in -3, a, s, -4?
a
Let o(s) = -s**2 + 182*s - 8286. Let p be o(94). Which is the closest to 0? (a) p (b) 0 (c) 13
b
Let s = 643/2 + -360. Suppose -d + 3 + 2 = 0. Which is the nearest to -0.1? (a) 0 (b) s (c) d
a
Let v = 349.1812 - 0.0812. Let p = -349 + v. Which is the closest to -0.2? (a) -1 (b) p (c) 0.3 (d) -0.3
d
Let i = 1260 + -107109/85. What is the nearest to -2 in i, 3/2, -5?
i
Let o = -1487/30 - -295/6. What is the nearest to o in -3, 235, 5?
-3
Let j = 28237 + -28239.0301. Let f = 0.0301 + j. What is the nearest to 0 in f, 3, 3/4, 19?
3/4
Let d = -136 + 135.7896. Let k = 0.0896 - d. What is the closest to 0.2 in -0.4, -3, k, 12?
k
Let u = -155/2 - -78. Suppose 2*o + 3*o = 15. Let k = 118 - 121. Which is the nearest to u? (a) k (b) o (c) -0.1
c
Let w = -648/11 - -4558/77. What is the nearest to -0.021 in w, 2, -2?
w
Suppose 105 = -2*t + t. Let p be (-12)/t*(-20)/24. Let s = -285/1108 - -2/277. Which is the nearest to s? (a) -5/4 (b) 0.2 (c) p
c
Let q = -172 - -155. Let f = q + 13. What is the closest to f in -0.04, 0, 5?
-0.04
Let w be 4/(-6) - 10/(-24). Let k = -8568 - -8570. What is the closest to -1 in w, k, 0?
w
Let q be (-4 + 12 + -8)/1. Suppose -2*h = -3*h + 5*j - 10, q = -2*j + 4. Which is the nearest to h? (a) -2 (b) -4 (c) -11 (d) -5
a
Let v be 14/(-4)*(3 + 3). Let h = -11188 - -11188. Which is the nearest to 0? (a) 2/5 (b) h (c) v
b
Let s = -66 - -72. Let k be (4/1407)/(s/9). Let a = k + -136/469. What is the nearest to -1/2 in a, 2, 1/3?
a
Let h = 0.6103 - -0.3897. Which is the closest to h? (a) -3/2 (b) -7 (c) -32
a
Let x be -4*(1 - (-1 - -3)). Let n(k) = -72*k + 479. Let q be n(6). Which is the closest to q? (a) -0.4 (b) 1 (c) x
c
Let r = -5180/15531 - -1/5177. Which is the closest to -2? (a) r (b) -8 (c) -5 (d) 3/8
a
Let r = 2.83 - 175.83. Let v = 172.5 + r. Which is the closest to 0.2? (a) 0 (b) v (c) 2/7
c
Let x = 21.361 - 17.361. Which is the closest to -1/2? (a) -9 (b) x (c) 10
b
Let w = 1/9 - 49/36. Let a = 15.1663 - 15.4663. What is the nearest to 2 in 3/2, w, 0, a?
3/2
Let i = 934 - 902. What is the nearest to 5 in 4, i, -4/5?
4
Let y = -153/80 - -21/16. Let c = 996 - 4978/5. What is the closest to -2 in c, y, 0.7?
y
Suppose -13*y - 325 = 33*y + 19041. What is the closest to y in -0.3, 0.5, 8?
-0.3
Let r = -6825 - -6825.1. Let s = 5 - 8. Which is the nearest to 0? (a) r (b) 1/7 (c) s
a
Suppose 16*b + 22*b = 88*b. Let i = 5.7 - 6. Let h = i + 0.2. What is the nearest to 2/3 in -4, h, b?
b
Let t = -3.767825 + -1.232175. Let j = 24/421 - 7682/119985. What is the closest to j in -0.5, 2, t?
-0.5
Let q be (-34)/(-15) + -3 + 78/130. Let c = -75/4 - -383/20. What is the nearest to q in c, 4, -2/5?
-2/5
Let d = -72330 + 72329. Let t = -2.03 - -0.03. What is the closest to 2/5 in d, t, 0.9, -1/6?
0.9
Let p = -1170 - -1170. Let m = -23/252 - 10/63. What is the nearest to m in p, -3/8, -2/7?
-2/7
Suppose -5*l + 74 - 24 = 0. Let k = -0.0626 + -0.2374. Which is the closest to l? (a) k (b) 0.4 (c) 0 (d) 2
d
Let a = -0.95083 + -0.04917. What is the nearest to a in 1, 2/3, -0.4, -5?
-0.4
Let i = -25.08 - 5.92. What is the closest to -3 in 0.1, -5, i, 0.3?
-5
Let i = 2 + 1. Let y = 0.5987 + 4.2473. Let u = -0.154 - y. What is the nearest to 0 in i, 4, u?
i
Let r = 2.1 + -2. Let g = -168298 - -168295. Which is the closest to r? (a) g (b) 10 (c) 2 (d) 0.3
d
Let f be 4/(-5) - (-14446)/15145. Which is the closest to 283? (a) -1 (b) 0.4 (c) f
b
Let b = 119/452 + -58/113. What is the closest to 0 in -3, 131, b, 0.1?
0.1
Let q = -2182 + 2182. Let u = -3.33 + 0.33. Which is the closest to q? (a) -1.4 (b) u (c) -4
a
Let o = -78 - -77.6. Let v = 8 - 7.8. Let g = -5.7 + 6. Which is the nearest to g? (a) o (b) v (c) 3/5
b
Let i = 0.0613 + -327.1613. Let k = -327 - i. Which is the nearest to k? (a) 41 (b) 4 (c) -4/3
c
Let l = -0.2 + -3.8. Let x = -8.4 + -596.6. Let o = x - -605.3. What is the closest to 1 in o, -2/19, l?
o
Let v be 8/10*(-650)/(-195)*(-1)/6. What is the closest to -1/6 in 0, v, -1, 0.1?
0
Let x be -24*29/1740 + (-38)/5. Which is the nearest to -1/3? (a) x (b) -36 (c) -0.5
c
Suppose -12*h + 4 = -13*h + r, -2*h + 20 = 5*r. Which is the closest to 2? (a) 5 (b) h (c) 3 (d) -7
c
Let m = 16474 - 65895/4. What is the nearest to m in -4.26, -0.3, 0.3?
0.3
Suppose 241*n + 99 - 319 = 197*n. Let t = 1 - 0. Which is the nearest to -1/4? (a) n (b) -4/5 (c) t (d) -0.2
d
Let l be (6/(-4))/(78*4/(-32)). Let v = 0.7 + -3.7. Let b(g) = -2*g**3 - g**2 + 5. Let y be b(0). What is the nearest to l in 3/4, y, v?
3/4
Let j = -277 - -145. Let m = 137 + j. Let n = 212/3 - 70. Which is the nearest to 1/3? (a) 3 (b) n (c) m
b
Let v be 104/42*(-2 - 31/(-8)). Let y = 29/7 - v. Which is the nearest to 1/2? (a) 2/9 (b) 0.6 (c) y
b
Let w(o) = 3*o - 2*o**2 - o - 13*o - 10. Let k be w(-1). What is the nearest to -3 in -3, 2/9, k?
-3
Let u = 3261 + -3261. Let w be -1*(-3 + 2 - 0). Let j = -0.36 + 0.76. What is the nearest to w in 2.7, j, u?
j
Let q = 8/9 + -5/9. Let p(t) = -t**3 + 28*t**2 - 25*t - 58. Let o be p(27). Which is the nearest to 1/3? (a) q (b) o (c) -2/21
a
Let k be 7/2 - (-1)/2. Let r = 0.0968 - -98.4032. Let h = -98.3 + r. What is the nearest to -1/2 in h, -0.1, k?
-0.1
Let i = -7937.79 + 7938. What is the nearest to 1 in -4, 3/4, i?
3/4
Let a = 3547 + -3731. What is the closest to -1/3 in a, -4, 2, 3/2?
3/2
Let q = -285 - -282. Let w(o) = -4*o - 16. Let j be w(q). Which is the closest to 0? (a) j (b) -1.1 (c) -1/4
c
Let z be 0 - (-3)/(-6)*2. Let q = 1 + z. Let k be ((-27)/378)/(2/4). Which is the nearest to 3? (a) k (b) q (c) -0.3
b
Let p(m) = m**2 - 33*m + 31. Let r be p(32). Let d = 78 - 77.5. Let v(i) = i**3 + 5*i**2 + 3*i - 4. Let b be v(-4). What is the closest to r in d, 1/12, b?
b
Let t = 62879/7 + -8983. What is the closest to 5 in t, 5, 21?
5
Let v = 89 - 93. Let g be (v/7)/((-6)/7). Let y = -0.17 + 0.17. Which is the nearest to y? (a) g (b) 3 (c) -5
a
Let r = -110510 - -110512. Suppose -4*g - 316 = -2*s, -5*g = s - 6*s + 385. What is the closest to -1/4 in g, r, -3/4?
-3/4
Let m = -0.9 - -1. Let n be ((-66968)/12112)/(-11) + (-1)/2. Let u = 745/4542 + n. What is the closest to u in 5, m, -1/2?
m
Let z = -225 + 224.28. Let k = 1.28 - z. What is the closest to -2 in k, -0.2, -4/5?
-4/5
Let q be (8/48)/(((-5)/15)/((-3)/6)). Which is the closest to q? (a) -0.3 (b) -0.253 (c) 2 (d) 0
d
Let d be 4/12 - (-2)/(-12)*4. Let q be 1/(-2 + (-14)/(-5)). Let f = 2.502 + -2.602. Which is the nearest to f? (a) -2/29 (b) d (c) q
a
Let i = -580891/2443 + 72/349. Let n = 238 + i. Let l = -109/55 - -9/5. What is the nearest to 1/4 in 3, n, l?
n
Let z(r) = -3*r - 1. Let c be z(-1). Let b be (12/(-120))/((-84)/8 + 11). Let l = -11 - -15. What is the nearest to b in -3, l, c?
c
Let b = 6785 + -6784.9. What is the nearest to 1 in -2, -0.319, b?
b
Let k = -12.81 + -0.19. Let i = 15 + k. Let x = -0.748 - -5.748. Which is the closest to -1/4? (a) i (b) 0 (c) x
b
Suppose 24*f - 1284 = -1188. Which is the nearest to -1? (a) -2/3 (b) -8/5 (c) f (d) -2/15
a
Let l = 4509 - 4489.23. Let g = l + 0.73. Let p = g + -20. What is the closest to 0.2 in 3, -1, p?
p
Let z be -7 + (1/(-9))/(((-200)/(-552))/(-25)). Let l(s) = s + 5. Let k be l(-7). Let h = 4.7 + -5. Which is the nearest to 1? (a) z (b) k (c) h
a
Let w = -0.607 + -1.393. Let d = 12 - 7. Which is the closest to 3? (a) d (b) 0 (c) w
a
Let t = 0.016 - -84.984. Let u = t + -84. What is the closest to 0 in -4/3, -2, u?
u
Let i = -2.81 - -6.81. Which is the closest to -0.06? (a) 0.2 (b
|
{
"pile_set_name": "DM Mathematics"
}
|
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