text stringlengths 270 8.19k | meta dict |
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1*t + 0*t + 3*t - t)*(-2 + 1 - 1).
-352*t
Expand (-5*v + 5*v - v**2)*(35 - 35 + 10*v) + (1 + 2 - 4)*(2 - 12*v**3 + 13*v**3 + 1).
-11*v**3 - 3
Expand 125*n**3 - 60*n**3 + 139*n**3 + (-4*n + 9*n + 9*n)*(n**2 + n + 2*n**2 - 2*n**2).
218*n**3 + 14*n**2
Expand (-2*l**2 + 4*l**2 - 3*l**2)*(-3*l**3 + 2*l**3 + 3*l**3) + (-3*l**4 + 3*l**4 - 2*l**4)*(-8*l - 10*l + 11*l).
12*l**5
Expand (-2 - 1 + 2)*(c + c + 0*c)*(50 - 41 + 49).
-116*c
Expand (12 - 15 - 14)*(3 - 2*c**2 - 3).
34*c**2
Expand -2*j**5 - j**3 + j**3 + (3*j**3 - 4*j**3 + 3*j**3)*(14*j - 9*j**2 - 14*j) + 2*j**5 - 5*j**5 + j**5 + (-3*j + j + 0*j)*(-2 + 2*j**4 + 2).
-26*j**5
Expand (6*q - 2*q - 2*q)*(-2*q - 2*q**2 + 2*q) + q**3 + 0*q + 0*q - 2*q**3 - q**3 + 4*q**3 + (3 - 3 - q**2)*(-42 + 42 + 15*q).
-17*q**3
Expand (-2*m - 5 + 5 + 5*m - 2*m - 2*m + (1 + 2 - 2)*(6*m - 2*m - 2*m) + 5*m - 3*m - m)*(-13 - 10 + 26)*(-2 + 0 + 3).
6*m
Expand -4*r - 3*r + 5*r + (-r - 1 + 1)*(2 - 3 + 2) + 0*r - 2*r + r - 3*r + 2*r + 3*r - 958 + 949 + 5*r + 3*r.
6*r - 9
Expand (2*x - 3 + 3)*(-1120 + 4229*x - 4224*x + 13 - 7).
10*x**2 - 2228*x
Expand (-j**3 + 2*j**3 - 9*j**3 - 7*j**3)*(1 - 1 - 3).
45*j**3
Expand (9 - 18*r - 7*r + 34*r)*(-5 + 1 + 0).
-36*r - 36
Expand (2*a**2 - 2*a**2 - 2*a**2)*(-2*a - 2 + 2) - 9*a**3 + 9*a**3 + 10*a**3 - 17.
14*a**3 - 17
Expand -4*i**2 - 2*i**2 + 4*i**2 + (i + 4*i - 2*i)*(0 + 0 + i) + (-2*i + 4*i - i)*(6*i + 0*i - 2*i) - 4 + 4 + 11*i**2.
16*i**2
Expand ((-8 - 4*k + 8)*(k + 3*k - k) - 2*k**2 + 5*k**2 + 2*k**2)*(-k - 4 + 4).
7*k**3
Expand (-j**3 + 0*j**3 - 2*j**3)*(3 - 5 + 1)*(-2 + 1 + 0)*(-88 + 29 - 44).
309*j**3
Expand (2*c**2 - c**2 - 3*c**2 + (-c + 2 - 2)*(2 - 2 - c) - 1 + 1 + 2*c**2 - 71 + 71 - 8*c**2)*(3*c - c - 3*c)*(-c + 5*c - 2*c).
14*c**4
Expand (5*x**2 + 2*x**2 - 9*x**2)*(x + 0*x + x).
-4*x**3
Expand (0 + 4*c + 0)*(-2 + 4557*c + 23 - 4550*c).
28*c**2 + 84*c
Expand (15 - 15 + 10*m)*(25 + 15 - 60).
-200*m
Expand (-w**3 + w**3 + w**3 + (w + 2*w**2 - w)*(4*w + 0*w - 3*w) - 2*w**3 + 5*w**3 - w**3 - w**3 - w**3 + 0*w**3)*(-500 - 66*w**2 + 500 + 3*w).
-198*w**5 + 9*w**4
Expand (18*v**2 + 6*v + 4 - 11 - 16*v**2)*(-3 + v + 3).
2*v**3 + 6*v**2 - 7*v
Expand (-2*t - t + 5*t)*(2 - 2 - 1) - 45 - 7*t + 45 + (0 - 1 + 0)*(-t + 3*t - 3*t) + 4*t + 0*t - 5*t + 2 - 2*t - 2.
-11*t
Expand (p**3 - p**3 + p**3)*(-56*p + 2 - 33*p + 18*p).
-71*p**4 + 2*p**3
Expand y**2 + y**2 - 4*y**2 + (-2*y + 9*y + 2*y)*(4 - 4 - 3*y) - 3 - 2*y**2 + 3.
-31*y**2
Expand (-j + 6*j - 2*j)*(-2 + 1 - 3 + (4 - 2 + 2)*(1 + 0 - 2)) + (0 + 5 - 2)*(4*j - 2*j + 0*j).
-18*j
Expand (0 - y + 0)*(-76 - 11 - 18)*(-y + 0*y + 2*y).
105*y**2
Expand (-2*o + 3*o - 2*o + (1 - 6 + 3)*(-3*o + 4*o + o) - o - 3 + 3)*(7 + 6*o**2 - 6 - 5*o**2).
-6*o**3 - 6*o
Expand (-27 + 77 + l - 23)*(3*l**2 - 2*l**2 - 7*l**2).
-6*l**3 - 162*l**2
Expand (4 + 2*w - 4)*(2 - 3 - 6)*(4 + 7 - 2).
-126*w
Expand (8677 - 366*y - 8677 + 2*y - y - 2*y + (2 - 2*y - 2)*(-1 - 1 + 1))*(-2*y + y + 3*y).
-730*y**2
Expand (-3*s - 13*s - 4*s)*(1 - 1 - 2*s - 3*s + 2*s + 3*s + (0*s - 3*s + 5*s)*(3 - 3 + 1) - 1 + 1 + 2*s + 1 + 4 - 2 - 2*s).
-40*s**2 - 60*s
Expand -5*f**5 + 2*f**5 + 4*f**5 + 5*f**5 - 4 + 4 + (-5*f + f + 5*f)*(-3*f**4 - 4*f**4 + 5*f**4) - 2*f**3 + 2*f**3 + 6*f**5 - f**5 + f**5 + f**5.
11*f**5
Expand (2*o - o + 0*o + (-3 + 0 + 2)*(0*o + 4*o - 6*o))*(-o**2 + 11 - 11) + 3*o**3 + o**3 + 0*o**3.
o**3
Expand (3*j - 3*j + j + (-7 + 3 + 2)*(-3*j - j + j))*(-j + 2 - 2 + 4 + j - 4 + (-3 + 7 - 2)*(-4*j - 4*j + 6*j) + (2 + 2 - 3)*(0*j + j - 3*j)).
-42*j**2
Expand ((0*m + 2*m + 0*m)*(7 - 2 + 1) + 6*m - 3*m + 0*m)*(-2*m + 0*m + m + (2*m - 4*m + m)*(3 - 1 + 0)).
-45*m**2
Expand -167*v**2 + 69*v**2 + 53*v**2 - 3*v**2 + 2*v**2 + 3*v**2 + (v**2 + 2 - 2)*(-4 + 0 + 3) - 2*v**2 + 3*v - 3*v.
-46*v**2
Expand 2*b + 8*b + 6*b + (1 - 2*b - 1)*(-2 + 1 + 2).
14*b
Expand (5*h + h - 4*h)*(1 - 3 - 1)*(4*h + 0*h + 4*h)*(2*h**2 - h**2 - 5*h**2).
192*h**4
Expand (2 - 1 + 2)*(-514*q**4 - 713*q**4 + 1 - 358*q**4).
-4755*q**4 + 3
Expand ((-3 - 3 + 1)*(3*h + 2*h - 3*h) + 2*h + 2*h - 3*h + (-3 + 5 - 1)*(-1 + 2*h + 1) + 2*h - 1 + 1)*(-4*h + 8*h + 9*h).
-65*h**2
Expand 531 - 179*y**4 - 531 + 0*y - 2*y**4 + 0*y + (y - y - 2*y)*(3*y + 2*y**3 - 3*y) - 4*y**4 + 3*y**4 + 3*y**4 + 2 + y**4 - 2.
-182*y**4
Expand (0 + 0 - 2)*(-15*l**2 + 11*l**2 + 3*l**2 + 139*l**3 + 2).
-278*l**3 + 2*l**2 - 4
Expand (1019 + 1090 - 1139)*(-2 - r + 2).
-970*r
Expand -2*d**2 + 3*d**2 + 0*d**2 + (d**2 - 2*d**2 - 2*d**2)*(1 - 1 + 2) - 170 + 171 - 10*d**2 - 16*d**2.
-31*d**2 + 1
Expand (29 + 70 + 81 + 190)*(-4*d**2 + 0*d**2 - 2*d**2).
-2220*d**2
Expand m**3 - m**5 - m**3 + (6*m**2 + 10*m - 10*m)*(-m**3 + 7*m**3 + 4*m**3) - 2*m**5 + 0*m**4 + 0*m**4.
57*m**5
Expand (2*n + 3 - 3)*(-2*n + n + 0*n) + 7 - n**2 - 7 + (-n - n + 0*n)*(4 - 4 - 3*n) + 0*n**2 + 2*n**2 - 3*n**2.
2*n**2
Expand (-2*z - z + 2*z)*(0 + 2 - 1) + 148*z + 44*z - z.
190*z
Expand (b - b + b)*(4*b**2 + 0*b**2 - 3*b**2) - 62*b**2 - 7*b + 4*b**3 + 64*b**2 - 3*b**3.
2*b**3 + 2*b**2 - 7*b
Expand 3*j - 2*j + j + 90 + 18*j - 90 + (2 - 1 + 1)*(-6*j + 0*j + 3*j) + j - j - 2*j + j - 2*j - j.
10*j
Expand -4*h**4 + 2*h**3 + 5*h**4 - 2*h**4 + (1 - 1 + 2*h)*(2*h**3 + h**3 - h**3) + 52*h**3 - 52*h**3 + 14*h**4.
17*h**4 + 2*h**3
Expand (6*y - 6*y + y**2)*(75*y + 78*y - 150*y).
3*y**3
Expand (41 + 7*w - 41)*(6*w**3 - 47*w**2 + 47*w**2).
42*w**4
Expand (-2*i**3 + 3 - 3)*(9 + 0 - 1) - 4*i**3 + 3*i**3 - i**3 - 3 + 2 - 4 + i**3 - 8*i**3 + 255*i - 255*i.
-25*i**3 - 5
Expand (-1 + 4 - 1)*(-58 + 155 + 102)*(0*k - 1 + 2*k + 2).
796*k + 398
Expand (-4 + 4 - 1)*(2 + 2 - 5)*(71*n - n - 11*n).
59*n
Expand (2*h + h - h)*(0 + 0 + 2*h)*(-9*h + 5*h - 14*h).
-72*h**3
Expand -c**5 - c**5 + 0*c**5 + (-3*c**2 - 6*c**2 + 3*c**2)*(2*c + 3*c**3 - 2*c).
-20*c**5
Expand (3*k**3 + 0*k**3 - k**3)*(-2 + 2 + 2*k**2) + 9*k + 0*k**5 - 2*k**5 - 2*k**2 - 11*k.
2*k**5 - 2*k**2 - 2*k
Expand (-13421*i**2 + 0 + 0 + 13551*i**2)*(3 - i - 3).
-130*i**3
Expand (-5*n - 2*n + 124*n)*(n**3 + 2*n**3 - n**3) + 4*n**4 - 3*n**4 + n**4.
236*n**4
Expand (-3 - 3 + 18)*(-3 + 10*t + 3).
120*t
Expand (3*t - 5*t - 2*t)*(-57*t + 169*t + 76*t) - t**2 - 3*t**2 + 3*t**2.
-753*t**2
Expand (7*j - 19*j - 21*j)*(3*j**2 - 3*j**2 - 3*j**4 + 6*j**4 - 3*j**4 - 2*j**4 + (2*j**3 + 0*j + 0*j)*(-2*j - j + 0*j)).
264*j**5
Expand -3*i**3 - i**3 + 6*i**3 + (-1 - 2 + 2)*(-i**2 + i**2 + i**3) - 2*i**3 + 0*i + 0*i + (i**2 + 0*i**2 - 6*i**2)*(0*i - 3*i - 4*i).
34*i**3
Expand (6*x + 0*x - x)*(-6*x - 28 + 28) - 4*x**2 + 0*x**2 + 3*x**2.
-31*x**2
Expand (3 - 2 - 2)*(-2*h + 2*h - h)*(-1 - 1 - 1)*(12 - h - 5 + 0*h)*(5 + 5 + 15).
75*h**2 - 525*h
Expand (15*h**2 + 17*h**2 - 9*h**2)*(0 + 2 - 1)*(0 + 0 - 3).
-69*h**2
Expand (3 - 12 - 12)*(-5*i + 0*i + i)*(2 - 2 - 4).
-336*i
Expand (n**4 + 0*n**4 + 0*n**4)*(-6*n + 2*n + 3*n) - 2*n**5 - 3*n**5 + 3*n**5 + 6*n**5 - 5*n**5 - 4*n**5 - 71*n**5 + 56*n**5 - 116*n**5.
-137*n**5
Expand (7 - i - 7)*(6*i - 9*i - 4*i) + (0*i**2 - i**2 + 3*i**2)*(1 - 3 + 1).
5*i**2
Expand (2 - 4 + 1)*(-2*o**3 - 6*o + 6*o)*(6 + 5*o - 6).
10*o**4
Expand (153*v**2 - 153*v**2 - 13*v**4)*(0 + 5 + 5).
-130*v**4
Expand -u - u**4 + 0*u**2 + 0*u**2 + (14*u**4 + 0*u**4 - 2*u**4)*(0 + 0 - 5).
-61*u**4 - u
Expand (29*t + 59*t - 17*t)*(6 - 1 - 2)*(0*t + 0*t - 3*t).
-639*t**2
Expand (6 - 1 + 3)*(-6*m - 9 + 15 - 8).
-48*m - 16
Expand (3 - 4 + 2)*(22*v - 32*v - 4*v - 13*v**5).
-13*v**5 - 14*v
Expand (-1 + 4 - 2)*(0 - 2 + 6)*((-2 + 0 + 3)*(2 - 6 + 2) + 0 + 3 - 4 + 2 - 2 - 1 - 3 + 4 - 2)*(-2*x + 0 + 0)*(-2 - 4 + 3).
-120*x
Expand (-m + m + 2*m)*(171 - 139 + 254).
572*m
Expand (-91 + 4*h**2 + 91)*(-2*h**2 + 0*h**2 + 3*h**2) - h**4 - 1 + 1 + 2*h**4 + h - h + (5*h - 4*h + h)*(2*h**3 - 2*h + 2*h).
9*h**4
Expand (-80 + 16*r**3 + 80)*(-2 - 4 + 5).
-16*r**3
Expand (6 - 2 + 4)*(2*f**2 + 0*f**2 - 3*f**2) - 4*f**2 - 4*f**2 + 6*f**2 + (11*f**2 - 18*f**2 + 10*f**2)*(-1 - 4 + 3).
-16*f**2
Expand 6*q**4 - 4*q**4 + 0*q**4 + (-q**3 + 0*q**2 + 0*q**2)*(-q + 0*q + 0*q) + (-11*q**2 + 17*q**2 + 10*q**2)*(-7*q**2 + 2*q**2 + 2*q**2).
-45*q**4
Expand (294*i**2 - 24*i - 45*i + 69*i)*(4*i + 0*i - 5*i).
-294*i**3
Expand 0*v**2 - 3*v**2 + v**2 - 2*v**2 - 4*v + 4*v + (v + 1 - 1)*(v - 6*v + v) + 5*v**2 - 4*v**2 + v**2.
-6*v**2
Expand (2538*t**2 - 110*t**5 - 2538*t**2)*(-4 + 9 + 14) + (-t**5 - 2*t**5 + 2*t**5 | {
"pile_set_name": "DM Mathematics"
} |
(f) = -f. Let m(h) = 2*h - 3*h + 18*h - h. Calculate n(m(r)).
-16*r
Let x(m) be the third derivative of -m**5/30 - 10*m**2. Let d(r) = 2*r. Calculate x(d(o)).
-8*o**2
Let c(r) = 3*r**2. Let m(s) = 2550*s. Calculate m(c(k)).
7650*k**2
Let h(n) be the first derivative of n**3/3 - n + 1. Let f(u) be the first derivative of h(u). Let s(o) = o**2. What is s(f(k))?
4*k**2
Let o(s) = 12*s. Let r(g) = -2*g. Let n(d) = -8*d. Let p(h) = -4*n(h) + 18*r(h). Determine p(o(q)).
-48*q
Let n(d) = 54*d**2. Let p(m) = m**2 + 4*m + 4. Let b(i) = -2*i**2 - 9*i - 9. Let f(z) = -4*b(z) - 9*p(z). What is f(n(w))?
-2916*w**4
Let f(h) = h. Let l(g) = 3*g**2 - 2*g - 2. Let j(w) be the second derivative of w**4/4 - w**3/2 - 3*w**2/2 + 2*w. Let c(s) = 2*j(s) - 3*l(s). Calculate c(f(q)).
-3*q**2
Let k(s) = s**2. Let r = 1 - -2. Let w(g) = 66*g + r*g**2 - 66*g. What is w(k(a))?
3*a**4
Let w(l) = -l. Let x(k) = 753*k. Give x(w(m)).
-753*m
Let r(c) = -2*c + c + 0*c. Let k(t) = t**2 + t + 1. Let i(a) = -6*a**2 - 5*a - 5. Let u(f) = i(f) + 5*k(f). Determine u(r(l)).
-l**2
Let j(c) = 44*c - 21*c - 22*c. Let d(b) = 18*b. Calculate d(j(o)).
18*o
Let c(p) = -p. Let o(b) = b. Let w be 1 + -2 + (-2 - -1). Let r(g) = g**2 - 3*g. Let a(t) = w*r(t) - 6*o(t). What is a(c(q))?
-2*q**2
Let n(d) be the third derivative of 0*d**3 + 0*d**4 - 1/60*d**5 + 0 + 5*d**2 + 0*d. Let l(r) = -4*r. Calculate l(n(g)).
4*g**2
Let f(y) = 2*y**2. Let k(s) = 4*s. Let m(a) = -a. Let w(c) = 2*k(c) + 6*m(c). What is f(w(l))?
8*l**2
Let l(q) = 4*q**2 - q**2 - 4*q**2. Let c(k) = -9*k**2. Give l(c(d)).
-81*d**4
Let g(t) = -t. Let p(l) = -7*l. Let u be -1 - -1 - (1 - 1). Let h(b) = 0 + u - b. Let w(z) = -5*h(z) + p(z). Give g(w(x)).
2*x
Let j(i) = -7*i - 6. Let p(k) = -104*k - 91. Let z(u) = -3*u**3 + 2*u**2 + 2*u - 2. Let f be z(-3). Let a(v) = f*j(v) - 6*p(v). Let o(y) = -y. Give a(o(n)).
13*n
Let a(c) = c + 6. Let u(x) = -2*x - 11. Suppose -5*y + 38 - 93 = 0. Let b(z) = y*a(z) - 6*u(z). Let o(m) = 5*m. What is o(b(t))?
5*t
Let q(f) be the third derivative of -f**4/12 + f**2. Let l(b) = 2*b - 8. Let r(z) = 2*z - 6. Let s(c) = 3*l(c) - 4*r(c). Determine q(s(g)).
4*g
Let p(t) = -9*t. Let x(v) be the second derivative of v**3/6 - 9*v. What is p(x(l))?
-9*l
Let v(r) = 1212*r. Let w(c) = -2*c. Give w(v(u)).
-2424*u
Let o(z) be the third derivative of -z**4/8 - 21*z**2. Let f(i) = -i**2. What is f(o(g))?
-9*g**2
Let v(m) = 31 - m**2 - m**2 + 36 - 23. Let t(g) = -g. What is v(t(b))?
-2*b**2 + 44
Let l be (-6)/(-4)*(-16)/(-6). Let d(z) = -2 - l*z + 2. Let y(m) = -2*m**2 + 5*m**2 - 2*m**2. Determine d(y(p)).
-4*p**2
Let w(u) = -42*u. Let k(j) = 9*j. What is k(w(p))?
-378*p
Let v(a) = 6*a + 3. Let m(i) = -13*i - 5. Let y(g) = 3*m(g) + 5*v(g). Let f(s) = 2*s**2. Calculate f(y(d)).
162*d**2
Let a(c) = -9*c**2 + 2. Let k(t) = 13*t**2. What is k(a(p))?
1053*p**4 - 468*p**2 + 52
Let m(u) = -u + 111. Let x(q) = -q. Calculate x(m(b)).
b - 111
Let c(d) = -3*d**2. Let k(t) = -168*t**2 + 329*t**2 - 169*t**2. Determine k(c(y)).
-72*y**4
Let v(f) be the first derivative of -f**3/3 + f - 3. Let t(a) be the first derivative of v(a). Let c(l) = 4*l**2. Give c(t(x)).
16*x**2
Let c(b) = -b**2. Suppose -3*a - 5*q - 9 = 1, 0 = 2*a - 5*q - 35. Let m(f) = 3*f - a*f + f. Give c(m(k)).
-k**2
Let u(v) = -v**2 - 9*v - 9. Let o(a) = a + 1. Let n(r) = -18*o(r) - 2*u(r). Let f(g) be the first derivative of -5*g**2/2 + 4. Calculate n(f(i)).
50*i**2
Let a(d) be the first derivative of -8*d**3/3 + 43. Let k(w) = -2*w. Let b(f) = -f. Let h(j) = 10*b(j) - 4*k(j). Give a(h(q)).
-32*q**2
Let a(d) = -2*d**2. Let x(o) = o**3 - 14*o**2 + 2*o - 16. Let p be x(14). Let k(v) = -12 + p - 3*v. Give a(k(l)).
-18*l**2
Let a(v) = 3*v**2. Let d(c) = -13*c**2. Determine d(a(n)).
-117*n**4
Let f(g) = 5*g. Let z(a) be the second derivative of -a**5/30 - 3*a**3/2 - 7*a. Let q(r) be the second derivative of z(r). Calculate f(q(m)).
-20*m
Let u(b) = -4*b**2. Let r(a) be the second derivative of a**4/3 + 64*a. What is u(r(y))?
-64*y**4
Let v(t) = -8*t**2 + 2. Let u(w) = 40*w**2 - 11. Let h(c) = -6*u(c) - 33*v(c). Let x(s) = 2*s**2. Calculate x(h(b)).
1152*b**4
Let i(l) = 2*l**2. Let z(j) = 13*j**2 + 9*j. Let c(h) = -3*h**2 - 2*h. Let b(x) = -9*c(x) - 2*z(x). What is b(i(g))?
4*g**4
Let p(v) = -6*v. Suppose 2*l - 5*n = 28, -3*l - 4 = 4*n - 0*n. Let h(z) = l*z - 4*z + 2*z. Calculate h(p(u)).
-12*u
Let j(z) = 3*z. Suppose 3*k - k - 4 = 0. Let p = k + 0. Let m(b) = p - 2 + 2*b. Determine m(j(n)).
6*n
Let c(m) = -8*m. Let a(s) = -2*s - 22. Determine c(a(z)).
16*z + 176
Let k(y) be the first derivative of -2*y**3 + 5. Let t(z) be the third derivative of -z**4/12 + z**2. What is t(k(p))?
12*p**2
Let j(q) be the first derivative of 0*q - 2 - 4/3*q**3 + 0*q**2. Let p(k) = -2*k. What is j(p(t))?
-16*t**2
Let p(h) = -h. Let q(f) = -6*f + 48. Calculate p(q(i)).
6*i - 48
Let h(q) = 5*q. Let x(t) = -4*t**2 - 5*t - 5. Let k(z) = 5*z**2 + 6*z + 6. Let d(p) = -5*k(p) - 6*x(p). Calculate d(h(y)).
-25*y**2
Let o(a) = a + 2. Let v(w) = w + 3. Let g(f) = 3*o(f) - 2*v(f). Let i(k) = k**2 - 3. What is i(g(u))?
u**2 - 3
Let s(k) = -3*k**2. Let f(y) = -2441*y**2. Calculate s(f(i)).
-17875443*i**4
Let x(q) = -2*q**2. Let n(u) be the second derivative of 2*u**3/3 - 6*u. What is n(x(c))?
-8*c**2
Let q(r) = 18*r - 1. Let s(b) = 2*b**2. What is s(q(t))?
648*t**2 - 72*t + 2
Let w(r) = -r + 1. Let c(z) be the first derivative of -5*z**3/3 + 25*z**2/2 - 25*z - 3. Let u(l) = -c(l) - 25*w(l). Let k(d) = d. Calculate k(u(i)).
5*i**2
Let a(f) be the third derivative of -f**5/20 - 7*f**2. Let n(q) = 4*q. Calculate n(a(p)).
-12*p**2
Let y(v) = -2*v + 18. Let w(a) = 2*a**2 + 61 - 61. What is y(w(c))?
-4*c**2 + 18
Let m(y) = 2*y. Let a(b) = -2*b**2 + 67. Give a(m(s)).
-8*s**2 + 67
Suppose -3*d + 4*d = -t, 6 = t - 5*d. Let w(b) = -1 - 2*b + t. Let k(v) = 4*v**2 + 3. Let j(n) = -5*n**2 - 4. Let s(l) = -3*j(l) - 4*k(l). Give s(w(r)).
-4*r**2
Let o(x) = -3*x. Let f(i) = 7*i. Let l(b) = -2*f(b) - 5*o(b). Let n(s) = -s. Let r(j) = j**2 - 5*j. Let h(a) = -5*n(a) + r(a). What is l(h(u))?
u**2
Let n(h) be the second derivative of 0 + 0*h**3 + 1/4*h**4 + 0*h**2 - h. Let o(r) = -6*r. Calculate o(n(v)).
-18*v**2
Let y(g) = -2*g**2. Let z = 2 + 9. Let q(p) = -6*p - 4. Let l(o) = 17*o + 11. Let m(r) = z*q(r) + 4*l(r). Calculate m(y(u)).
-4*u**2
Let x(g) = 18*g**2. Let s(p) = 93*p. Calculate x(s(f)).
155682*f**2
Let r(v) = -33*v**2. Let h(q) = 5*q. Calculate h(r(m)).
-165*m**2
Let d(o) = 4*o**2. Let w(v) = -10*v**2 - 11*v**2 + 2*v**2. Determine d(w(a)).
1444*a**4
Let h be (-1)/(-12)*2*(3 + 6). Let j(d) be the first derivative of 1 + h*d**2 + 0*d. Let f(t) = 2*t**2. What is f(j(c))?
18*c**2
Let k(o) = o**2. Let j be (-12)/(-9)*(2 + 1). Suppose -1 - 1 = -c. Let v(g) = -c*g + 4*g - j*g. Calculate v(k(w)).
-2*w**2
Let q be (7 + -6)/(1/11). Let u(m) = -7*m**2 - m**2 + q*m**2. Let k(i) be the first derivative of i**2/2 + 2. What is k(u(d))?
3*d**2
Let z(x) = x**2 - 5*x**2 - x**2. Let d(f) = 3*f - f**2 - 4*f + f. What is z(d(a))?
-5*a**4
Let n(u) = 2*u. Let g(t) = -20*t**2 + 52*t. What is g(n(r))?
-80*r**2 + 104*r
Let i(n) = -10*n**2. Let p(b) = -5*b**2 + 6*b. Let t(v) = 4*v**2 - 5*v. Let w(c) = -5*p(c) - 6*t(c). Calculate i(w(u)).
-10*u**4
Let u(q) = 40*q**2. Let w(r) be the second derivative of r**3/6 + 8*r. Determine w(u(m)).
40*m**2
Let v(p) = 63*p - 95. Let j(q) = 2*q. What is j(v(s))?
126*s - 190
Let d(l) = -l**3 + l**2. Let a be d(0). Let k(v) be the second derivative of a*v**2 + v + 0 - 1/6*v**4 + 0*v**3. Let n(s) = s**2. What is k(n(x))?
-2*x**4
Let d(f) = 6*f**2. Let k be (1 - 7)*2/(-6). Suppose v = -v + 4. Let b(o) = o**2 - 5*o**k + v*o**2. Determine b(d(c)).
-72*c**4
Let b(m) = -3*m. Let y(r) = -2*r**2 + 4*r**2 - r**2 + 0*r**2. Calculate b(y(v)).
-3*v**2
Let h(c) = c. Suppose -44 = -5*f - 3*q, 2*q + 26 = 5*f - q. Suppose 5*m = -3*j + 20 + f, j = 4*m - 8. Let y(r) = 4*r - j*r + r**2. What is h(y(l))?
l**2
Let s(v) = -2*v**2 - 182. Let c(g) = g**2. Give c(s(d)).
4*d**4 + 728*d**2 + 33124
Let a(s) = -5*s + 4. Let p(j) = -j. Calculate p(a(t)).
5*t - 4
Suppose 0 = -2*m + 3*r + 5, 2 = r + 1. Let w(s) = s + m - 4. Let d(b) = -b + b**2 + b. Determine w(d(y)).
y**2
Let i(x) = -3*x. Let a(b) = 2*b. Let q(l) = 10*a(l) + 6*i(l). Le | {
"pile_set_name": "DM Mathematics"
} |
nd the second derivative of -5*s + 2*s**j + s**2 - 4*s**2 wrt s.
-2
Let x be 7 - 2/(3*1/6). What is the second derivative of -33*d**3 - 3*d**4 + 23*d**3 - 2*d + x - 8*d wrt d?
-36*d**2 - 60*d
Suppose 4*v + 93 = m, m - 51 = -2*v + 72. What is the second derivative of 214*s - 42*s**3 - m*s - 122*s wrt s?
-252*s
Let k(l) be the first derivative of -71*l**6/6 + 18*l**3 + l**2 + 59. Find the third derivative of k(h) wrt h.
-4260*h**2
Let j(t) be the third derivative of 0*t**4 - 10*t**2 + 0*t**3 + 0*t + 0 - 3/40*t**6 + 1/60*t**5. Find the third derivative of j(x) wrt x.
-54
Let o(b) be the first derivative of -72*b**7/7 - 5*b**3/3 - 42. Find the third derivative of o(n) wrt n.
-8640*n**3
Let u(h) = -3*h - 10. Let j be u(-4). Find the first derivative of 0*k - j + 4 + 5 - k wrt k.
-1
Let w(u) = 2*u**2. Let b(z) = -656*z**2 - z + 28. Let o(x) = -b(x) + 6*w(x). What is the derivative of o(g) wrt g?
1336*g + 1
Find the second derivative of 132*x - 3*x**2 - 4*x**2 + 0*x**2 - 6*x**2 - 371*x wrt x.
-26
Suppose 6*g - 11 - 7 = 0. What is the derivative of 6 + 8 + g - 11*s**2 + 1 wrt s?
-22*s
What is the third derivative of -11*u**3 - 101*u**2 - 10*u**3 + 3*u**4 + 23*u**3 - 80*u**4 wrt u?
-1848*u + 12
Let n(s) be the first derivative of -5*s**8/112 - s**5/4 - 3*s**2/2 + 4. Let i(d) be the second derivative of n(d). Find the third derivative of i(b) wrt b.
-900*b**2
Let s(d) = -4*d**3 - 6. Suppose 99 = 3*n - 0*n. Suppose 3*a + 0*a + n = 0. Let c(f) = f**3 + 1. Let r(j) = a*c(j) - 2*s(j). Differentiate r(t) wrt t.
-9*t**2
Let f(b) be the second derivative of b**5/20 + 7*b**4/4 - 45*b**3/2 + 38*b. What is the second derivative of f(m) wrt m?
6*m + 42
Let x(c) = 38*c**2 + 37*c. Let m(i) = 115*i**2 + 112*i. Let u = 126 - 137. Let p(z) = u*x(z) + 4*m(z). Find the second derivative of p(d) wrt d.
84
Let o(y) be the first derivative of 17*y**8/336 + 5*y**4/6 - 5*y**2 + 19. Let k(i) be the second derivative of o(i). Find the second derivative of k(t) wrt t.
340*t**3
Let n(a) = a**3 - 3*a + 2. Let i be n(-3). Let w = -12 - i. Differentiate -3 + w*d + 1 - 4 wrt d.
4
Let t(n) = 73*n**3 + 2*n**2 - 12*n - 2. Let k(d) = -366*d**3 - 9*d**2 + 61*d + 11. Let s(y) = -2*k(y) - 11*t(y). Find the third derivative of s(m) wrt m.
-426
Let g(k) be the first derivative of 6 + 0*k + 0*k**2 + 9/2*k**4 + 7*k**3. Find the third derivative of g(u) wrt u.
108
Find the third derivative of -325*q**2 + 357*q**2 + 7*q**5 + 4*q**5 wrt q.
660*q**2
Let p(c) be the second derivative of -101*c**4/4 + 101*c**3/6 + 5*c + 13. What is the second derivative of p(b) wrt b?
-606
Suppose -2*c = -2*u, -2*u = 5*c - 1 - 13. Differentiate -17*f**2 + 8*f**2 + 2 + 11*f**u with respect to f.
4*f
Let f(p) be the second derivative of -p**7/6 + p**5/10 + p**4/4 + 11*p**3/2 + 262*p + 2. Find the third derivative of f(b) wrt b.
-420*b**2 + 12
Find the third derivative of 334*w**4 + 168*w**3 + 166*w**3 + 53*w**2 - 334*w**3 + 178*w**2 wrt w.
8016*w
Let j(b) = -b**6 - 19*b**4 + 5*b**2 - 4. Let c(u) = 2*u**6 + 20*u**4 - 5*u**2 + 5. Let i(y) = 4*c(y) + 5*j(y). What is the third derivative of i(q) wrt q?
360*q**3 - 360*q
What is the derivative of -39*j**2 - 15*j**2 + 22*j + 49*j**2 - 929 wrt j?
-10*j + 22
Let f(q) = -87*q**3 - 59*q**2 + 5*q + 1. Let g(k) = -43*k**3 - 30*k**2 + 3*k + 1. Let v(x) = 3*f(x) - 5*g(x). What is the third derivative of v(l) wrt l?
-276
Let b(j) be the third derivative of 0*j**5 + 0*j**6 - 24*j**2 + 0*j**7 + j**4 + 0 + 1/48*j**8 + 0*j**3 + 0*j. Find the second derivative of b(c) wrt c.
140*c**3
Let r(v) be the third derivative of -v**9/84 + v**7/42 + v**5/30 - 13*v**3/3 + 259*v**2. What is the third derivative of r(m) wrt m?
-720*m**3 + 120*m
Differentiate 4*j**2 - 14*j**3 + 13*j**3 - 18 - 25*j**2 with respect to j.
-3*j**2 - 42*j
Let h(n) be the second derivative of 0 + 0*n**5 + 0*n**3 + 19*n**2 + 23/30*n**6 - 13*n + 0*n**4. What is the first derivative of h(t) wrt t?
92*t**3
What is the first derivative of -118*a - 39*a**2 + 41*a**2 - 510 + 120 wrt a?
4*a - 118
Let a(n) = -481*n**4 - 481*n**2. Let s(y) = -66*y**2 + 13*y**2 - 32*y**4 + 21*y**2. Let p(m) = -6*a(m) + 91*s(m). Find the third derivative of p(q) wrt q.
-624*q
Find the second derivative of -8*y**2 + 8*y - 111*y**3 + 24 - 5*y**2 - 6*y + 13*y**2 wrt y.
-666*y
Find the second derivative of 684*y + 2*y**3 - 327*y - 257*y + 65*y**2 wrt y.
12*y + 130
Let k be (3 - 5)/(-6)*6. Suppose -k*r - 19 = -4*s - 3*r, -3*r = 2*s - 7. Find the third derivative of 0*x**2 - x**2 + 0*x**2 + 0*x**2 - 4*x**s wrt x.
-240*x**2
What is the third derivative of -10*l**3 - l**6 + 8*l**2 + 6 - 21*l**3 - 3*l**2 - 4*l**2 wrt l?
-120*l**3 - 186
Let n(f) be the second derivative of -f**7/2 - 5*f**3/6 - 7*f**2 - 10*f + 9. Find the second derivative of n(b) wrt b.
-420*b**3
Let r(n) be the first derivative of -5*n**4/4 + 700*n**3/3 + 287. Find the third derivative of r(h) wrt h.
-30
Let l(s) = s**3 + s. Let y(w) = -18*w**4 - 5*w**3 - 2*w - 250. Let m(u) = -2*l(u) - y(u). Differentiate m(p) wrt p.
72*p**3 + 9*p**2
Let t(i) = 23*i**2 - 33*i - 2. Let g(m) = 22*m**2 - 32*m - 3. Let r = -90 - -87. Let w(l) = r*t(l) + 2*g(l). Find the second derivative of w(v) wrt v.
-50
Find the second derivative of 1 + 131*i**2 - 56*i + 28*i - 29*i - 40*i wrt i.
262
Suppose -58*z = -53*z - 10. Find the third derivative of -o**6 + 5*o**z - 3*o**6 - 15*o**2 - 2*o**6 wrt o.
-720*o**3
Let w be (-30)/(-18)*(-6)/(-5). Find the third derivative of 2 - 69*x - 3*x**w + 69*x + 22*x**5 wrt x.
1320*x**2
Let c = 3 + 6. Let g = c + -5. Find the second derivative of 0*y - y - 6*y**g - y wrt y.
-72*y**2
Let p(a) be the first derivative of -41*a**2/2 - 108*a - 11. Differentiate p(n) wrt n.
-41
Let m(y) = -53*y**4 - 2*y**2 - y + 26. Let s(r) = -107*r**4 - 5*r**2 - 3*r + 53. Let d(c) = 5*m(c) - 2*s(c). Find the second derivative of d(g) wrt g.
-612*g**2
Let y(i) be the third derivative of 0*i**3 + 11/336*i**8 + 0*i + 0*i**5 + 0*i**7 + 0*i**6 + 1/12*i**4 + i**2 + 0. Find the second derivative of y(c) wrt c.
220*c**3
Let k(m) = -m**3 + 6*m**2 - 4*m - 4. Let b be k(5). Suppose 3*g - b = 8. Find the third derivative of -8*y**4 + y**3 - 10*y**2 - y**g + 5*y**2 wrt y.
-192*y
Let z(v) = v**3 - 32*v**2 - 36*v + 102. Let a be z(33). Find the third derivative of 15*n**2 + 2*n**a - 7*n**3 + 12*n**3 - 2*n**6 wrt n.
-240*n**3 + 42
Suppose -3*a - 9 = 2*c + c, -25 = -5*a + 3*c. Suppose 0 = -5*l - 22 + 47. What is the first derivative of l - 1 - a + y**2 wrt y?
2*y
Let n(t) be the first derivative of -31*t**5/20 + 35*t**3/6 - 30*t - 29. Let v(b) be the first derivative of n(b). What is the second derivative of v(w) wrt w?
-186*w
Let i(b) = b**2 - 10*b - 10. Let r be i(10). Let x be (1/2)/(r/(-100)). Differentiate -7*k - k + 2*k - x + 2*k wrt k.
-4
Suppose 2*w - 7 = 19. Let v(s) = s - 5. Let t be v(w). What is the third derivative of 545 + t*c**2 - 2*c**3 - 545 wrt c?
-12
Let g(j) be the first derivative of -j**8/1680 - 5*j**4/24 - 4*j**3 + 2. Let w(v) be the third derivative of g(v). What is the first derivative of w(c) wrt c?
-4*c**3
Let p(s) = s**2 + s. Let y be p(2). What is the third derivative of -4*r**4 - 6 - 1 - y*r**2 + 7 wrt r?
-96*r
Let c(b) = b**2 - 7*b - 27. Let d be c(11). What is the third derivative of t**6 + 6*t**6 - d*t**2 - 4*t**2 wrt t?
840*t**3
What is the second derivative of -1 + 1 + 196*v**2 + 147*v + 123*v**2 - 16*v**2 wrt v?
606
Suppose 0 = 8*z - 6*z - 2. Let s(i) = i + 3 - i**2 - 3 - z. Let n(f) = -f**2 - f + 2. Let u(d) = n(d) + s(d). Find the first derivative of u(l) wrt l.
-4*l
Let f(i) be the first derivative of -15*i**5 - 145*i**2/2 - 232. What is the second derivative of f(q) wrt q?
-900*q**2
Let c(q) = 4*q + 24. Let r(p) = p + 5. Let s(g) = -g**2 - 4*g + 2. Let l be s(-4). Let o(j) = l*c(j) - 11*r(j). Differentiate o(w) wrt w.
-3
What is the second derivative of 2 - 4 + 382*v - 413*v**3 - 167*v wrt v?
-2478*v
Let x(d) be the second derivative of -100*d**3 + 518*d**2 - 2*d - 136. What is the first derivative of x(m) wrt m?
-600
Let l(b) be the first derivative of -27*b**5/5 - 22*b - 39. What is the derivative of l(p) wrt p?
-108*p**3
Find the second derivative of -255*v + 521 + 5*v**2 - 1048 + 527 - 34*v wrt v.
10
What is the third derivative of -51*o**2 + 155*o**3 - 25*o**2 - 23*o**2 + o wrt | {
"pile_set_name": "DM Mathematics"
} |
et t be (0 - -1)/(v/216). Let s = -18 + t. Solve s = -n - n for n.
-3
Suppose -8 = -33*h + 29*h. Suppose -4*k + 6 = -h. Solve -3*u + k = -5*u for u.
-1
Suppose 0 = 4*b + b + 35. Let n(o) = o**3 + 6*o**2 - 8*o - 6. Let k be n(b). Solve -z = 5 - k for z.
-4
Let z be -10 + (44/4 - -5). Solve -26 + z = 10*v for v.
-2
Let f(q) = q**3 - 11*q**2 + 20*q - 22. Let b be f(11). Let v be ((-44)/b)/((-2)/18). Let y be 2/2 + 2/2. Solve y = -v*l - 4 for l.
-3
Let j be 27/135 + (-1)/(5/(-59)). Solve 0 = q + 2*q + j for q.
-4
Suppose -y - 4*d = -2*y - 7, 0 = -3*y + 5*d. Solve -3*o - 2*o + y = 0 for o.
1
Suppose 11*p + 2 = 13*p. Suppose f - 2 = -4*g + 2, -g = 3*f + 10. Solve -g = z - p for z.
-1
Suppose -7*i + 6 = -4*i. Let r(k) = 23*k - 2. Let s be r(2). Suppose 9*n = s + 64. Solve -n = v + i*v for v.
-4
Let v(m) be the first derivative of m**4/4 - 5*m**3/3 + 2*m**2 - 3*m - 4. Let d be v(5). Solve -5*j - 3 = d for j.
-4
Let k(f) = 2*f + 13. Let p be k(-8). Let s be ((-8)/(-5))/(17/5 + p). Solve -s*v = -0*v for v.
0
Let g = -286 + 288. Suppose -5*j - 4*v - 17 = 0, 2*v = -j - 1 - 6. Let z(i) = i**2 - 1. Let m be z(j). Solve m*h = g*h - 10 for h.
5
Suppose -4 = -5*z + 6. Suppose 0 = t - 2*k - 10, t + 3*t + 3*k + 4 = 0. Let b be t + 3 - z/2. Solve b + 8 = -4*d for d.
-3
Let w = 6 + -2. Suppose w*l + 10 = 9*l. Let s be -1*(-3 + l)*2. Solve s*i = i for i.
0
Let y be (2/8)/((-6)/5052)*-2. Solve 417*i = y*i + 8 for i.
-2
Suppose 0 = 2*m + 5*t - 12, -5*t + 10*t = -5*m + 30. Solve m*p = 2*p for p.
0
Suppose -2*n + m = -8, n - 4 = 5*n + 3*m. Solve -4*j = n*j for j.
0
Suppose 3*j + 12 = 0, -2*m + 2*j = -3*m + 10. Let y(z) = z**3 + 7*z**2 + 5*z - 3. Let l(w) = w - 2. Let o be l(-4). Let f be y(o). Solve f*h = -3 + m for h.
5
Suppose 7*x - 3*x = 0. Suppose 2*m - 3 - 5 = x. Suppose -y = -3*f, 0*y + m*y = 5*f. Solve f = g + 4 for g.
-4
Suppose -g - 2*g = 54. Let r = -30 + g. Let c be (-6)/(-21) - r/28. Solve -c*x = -x - 4 for x.
4
Let l = -385 - -399. Solve -8 = -l*r + 12*r for r.
4
Let k(n) = 5*n**3 - 9*n**2 + 3*n + 5. Let a be k(2). Solve -3 = -6*o - a for o.
-2
Suppose -2*s + t + 10 = -5, -3*s = -2*t - 22. Suppose 0*j + 4*l = 2*j - 16, s = 3*j - 2*l. Solve j = -4*x + 6 + 10 for x.
4
Suppose 12 = 4*u - 3*u. Let l be 594/216 + (-1)/(-4). Solve 0 = -l*x + 3 + u for x.
5
Suppose -3*u + 1 = -2*j + 5, 3*j - u - 13 = 0. Suppose -3*o = 0, 2*o - 35 = -j*m - 0*o. Solve 0 = 4*a - m*a for a.
0
Suppose -4*g + 405 = -35. Suppose -35 = 5*j - g. Suppose 0 = -j*u + 20*u - 15. Solve -u*a + 17 - 5 = 0 for a.
4
Let b(d) = -3*d**2 + 2*d - 4. Let m(k) = k**2 - k + 1. Let w(p) = -b(p) - 2*m(p). Let o be w(0). Suppose -3 - o = 2*l - f, -f = -5. Solve -4*u = -l*u - 4 for u.
1
Suppose -5*w = 4*j - 65, w - 3 = 2*w. Let f = -1 - -5. Let x be 3/4*f*1. Solve x*o - 7*o = j for o.
-5
Let t(p) = -15*p + 176. Let o be t(13). Let j(z) = -z**2 - z + 3. Let r be j(-5). Let m = r - o. Solve y = -m + 3 for y.
1
Suppose 38 = 2*m + 5*a, 5*m + 2*a - 33 = 5*a. Let o(k) = k**3 - k**2 + k + 2. Let d be o(0). Suppose 4*r - 3*r - 9 = -5*q, 2*r = -d. Solve -1 + m = -q*b for b.
-4
Suppose 7*q + 4*o = 6*q, 44 = 4*q + 5*o. Solve 14*h = q*h - 4 for h.
2
Let s(v) = v**2 - 13*v - 19. Let x be s(14). Let a be (5 + x)/(2*-1). Solve 2 = -a*w - w for w.
-2
Let c = 12 + -6. Suppose -l = z + 1, -5*z + 3*l + 2*l + 25 = 0. Suppose -q = -0*q - z. Solve 0 = -q*k + 2 - c for k.
-2
Suppose 2*u + 4*o = -2, 0 = -5*o + 6*o + 5. Solve -u = 14*g + 33 for g.
-3
Let i = 110 - 98. Solve -2*y = y - i for y.
4
Let p be (1 + -3)/((-18)/45). Solve p*y = 7*y - 2 for y.
1
Suppose -5*n = -7 + 2. Let s be ((-6)/(-15))/(n/30). Suppose 0 = 4*b + v - 3, -s - 12 = -2*b + 4*v. Solve -b*i = i for i.
0
Let f(k) = -5*k - 50. Let s be f(-14). Solve -s*q + 20 = -20 for q.
2
Let p = -321 + 325. Solve 0*a = p*a - 20 for a.
5
Let s = -1344 + 1350. Solve -s*i + 2*i - 4 = 0 for i.
-1
Suppose -8*a = -12*a - 8, -4*a = -5*k + 338. Solve -k*y = -71*y for y.
0
Let v be (-5)/10*-2*-2 + 4. Solve 2*d + v*d = 16 for d.
4
Let o(f) be the second derivative of f**3/6 - 5*f**2 - 15*f. Let r be o(12). Solve r*n - n = -1 for n.
-1
Let l(a) = -a**2 + 1. Let t be l(3). Let v be ((2 - t/(-4))/(-2))/(-2). Solve v = p + 3 + 2 for p.
-5
Suppose 3*x - x = 2*c + 72, 4*x = -c + 159. Let t = x + -35. Solve -t*g = -0*g + 16 for g.
-4
Suppose -4*n + n = -45. Let q = 19 - n. Suppose 0 = 5*t + q*b - 32 + 4, 0 = -2*t + 4*b. Solve 0 = -4*s - t + 8 for s.
1
Let h = 628 - 620. Let f be 1 + (18/2 - 1). Suppose -f*c = -h*c. Solve c*j = -4*j for j.
0
Suppose -2*t - t - 3*r = 12, 2*t - 4*r + 14 = 0. Let a be (1 + -2 - 1)*(t - 5). Solve -6*x + x = a for x.
-4
Suppose 3*f - 9 - 13 = -5*z, 13 = 2*f + 3*z. Let s be -1 - (1 - f) - -13. Solve -3*w = 2*w - s for w.
2
Suppose 38*y - 36*y + 5*w - 131 = 0, -4*y + w = -229. Solve y*t + 3 = 61*t for t.
1
Let m(c) = c**2 + 11*c - 124. Let x be m(-18). Let r be (-1*2)/(-1 - 0). Solve -r*g - x*g + 20 = 0 for g.
5
Suppose -13 = -g + 5*t, 5*g - 42 + 17 = 5*t. Let v(x) = x**2 + 2*x - 4. Let n be v(-3). Let a(z) = 7*z**2 + z + 1. Let o be a(n). Solve 4 = -g*s + o*s for s.
1
Let l(v) = v - 21. Let b be l(23). Solve 1 + b = y for y.
3
Suppose 3*y - 3*i - 2 = 1, -4*i = -3*y. Solve -2*a - y = -a for a.
-4
Let n be (-3)/(-6)*14*1. Suppose -2*j - 19 = -5*b, -3*j - 9 + 0 = -b. Solve b*z = n*z - 16 for z.
4
Let s(a) = a**3 + 2*a**2 - 13*a + 12. Let i be s(3). Solve 5*v - 3 = -i for v.
-3
Suppose 0 = -154*q + 134*q + 60. Solve 3 + q = 3*m for m.
2
Suppose 4*v - 9 = c + v, 0 = c - 2*v + 6. Suppose 0 = -2*l + 9 - 3. Suppose 0 + 12 = l*j. Solve 4*i + 24 - j = c for i.
-5
Suppose -5*r + 12 = -r. Let o be (2 - r)/(2/(-4)). Suppose 5*m - 8 = m. Solve a + o = -m for a.
-4
Let m be 3 - 0/((-9)/3 + 0). Solve -m*i + 8 = -7*i for i.
-2
Let p = -10 - -6. Let z = p + -11. Let f be (-3)/(z/35) + -3. Solve 0 = -2*o + 6*o - f for o.
1
Let r be 1/(-3)*0/1. Suppose r = v - 0*v. Suppose v = -3*c + 5 + 7. Solve 3*a - 5*a = c for a.
-2
Let k = 737 + -728. Solve -k*i + 9 = 27 for i.
-2
Suppose m - 4*y = 16, 2*m - 19 = 4*y - 3. Suppose -2*j + 26 = 4*a + j, m = -4*a + 5*j + 42. Solve 10 = 6*u - a*u for u.
-5
Let t(i) = i**2 - 5*i + 6. Let n be t(2). Solve -4*d - 18 + 6 = n for d.
-3
Let q be 5/10 + (-9)/(-6). Let c be 0*((-9)/4 + q). Solve c*j = -j - 4 for j.
-4
Suppose -n - 2 = 4*u, -5*u - 1 = 5*n - 6. Suppose -n*r = -0*r - 6. Suppose t + 0 = -5*o + 3, -t = -r. Solve -2*g + 0*g = o for g.
0
Let d(y) = 2*y**3 - 12*y**2 - 32*y. Let v be d(8). Solve v = -12*p + 19*p - 28 for p.
4
Let b(h) = -h + 41. Let m be b(0). Suppose -9 = -5*z + m. Solve -4*d = d + z for d.
-2
Let g be 5/1 + (-40 - -37). Solve g*j + 13*j = 0 for j.
0
Suppose z = 2*l - 7 + 18, -4*l - 37 = -3*z. Suppose -3*w - 15 = b, -2*w = -4*b - 5*w - z. Let x = 12 + -11. Solve b = 3*h - 4 + x for h.
1
Let h(o) = -o**3 - 4*o**2 + 4*o + 3. Let p be h(-5). Suppose 9 = -5*u + p*u. Solve 2 = m + u for m.
-1
Suppose 0 = 5*b + m - 89, 4*b + 90*m - 75 = 93*m. Solve -30 = b*y - 24*y for y.
5
Let z be -2 - 60/(-9) - 122/183. Solve -z + 9 = 5*u for u.
1
Let h be 1*(2/(-1) + 4). Suppose -2*g - 3*j + 7 = 0, g + h*j - 1 = 3. Solve -g*k + 7 = -3 for k.
5
Suppose -2*x = 5*a - 3, -5*x - 8 = -7*a + 4*a. Solve -a - 1 = o for o.
-2
Let x = 36 - 17. Suppose -n - x = -3*v, -2*v + 5*n + 19 = -11. Suppose 2*y = -0*y + d + 25, v = d. Solve b + y = 6*b for b.
3
Let v = 34 - 38. Let u be (0 + 3 + v)*0. Solve u = -2*f - 2*f + 16 for f.
4
Suppose -2*z = 4*k - 126, -3*k + 4*z = z - 81. Solve 6 = -12*b - k for b.
-3
Let g be 2*(-6 - -3)/(-3). Let n(b) = -4*b**2 + 2 + b + 7*b**2 - 2*b**g. Let k be n(-2). Solve k = 2*m - 0*m for m.
2
Suppose a - 40 = -a. Suppose -l = -5*l + 5*i + 499, -504 = -4*l + 4*i. Let b = l - 128. Solve b*h + h = a for h.
5
Let n(r) = -r**3 - r**2 + 3. Let o be n(0). Suppose 5 = -d, 0 = -o*f + 5*f + 5*d - 5. Suppose -v + f = 5. Solve 5*y = v + 5 for y.
3
Let p be -1 + 3/12 - 6/(-8). Solve p = -5*l - 18 - 2 for l.
-4
Let r = -384 - -384. Solve r = 110*q - 114*q + 4 for q.
1
Let q(i) = -i + 8. Let w be 2 + 2 + 2 + -1. Let g be q(w). Let y = g + 1. Solve -y*r - 16 = -0*r for r.
-4
Let q(m) = m. Let d be q(5). Let x(s) = 4*s - 12. Let u be x(d). Solve 0*z = -2*z - u for z.
-4
Let c(w) = w**2 + 2*w + 9. Let k be c(0). Solve -6*h = -k + 21 for h.
-2
Let x be (2 | {
"pile_set_name": "DM Mathematics"
} |
hat is the value of -3 + -7 + 1 + 5?
-4
Evaluate -6 + 0 + (29 - 19).
4
Evaluate -3 - (1 - -1 - 4).
-1
Evaluate -18 + 23 + 2 + 1 + -7.
1
Calculate 6 + 1 - (5 + 6).
-4
0 + (7 - (8 - 5)) + -14
-10
Evaluate (-18 - -10) + 5 + 2.
-1
What is (1 - (13 - 8)) + -5?
-9
What is -6 + (10 + 0 - 8)?
-4
What is the value of -7 + 1 + (6 - 3) + 4?
1
What is 1 + (-3 - 1) + 1?
-2
10 + 0 + -4 + -2
4
What is (1 + -2 - 1) + 5?
3
What is -2 + -1 + 15 + -8?
4
What is the value of 2 - (5 + -4 + 4 - -1)?
-4
Calculate -6 - (-11 + -5 + 9).
1
Evaluate ((-11 - -6) + 0 - 0) + -2.
-7
What is the value of 1 + 0 + (-3 - -5) - -2?
5
What is 7 + 4 + -7 + 0 + 0?
4
What is -7 - -2 - (-2 + -9)?
6
Calculate (-3 - (6 + -7)) + (0 - -1).
-1
What is 4 + -1 - (1 + 7 + -3)?
-2
What is 1 + (-4 - -3) + 5 + -1?
4
What is the value of -5 + 9 - -6 - (-1 - -6)?
5
What is 6 + -9 + (4 - 1)?
0
Calculate -5 - ((3 - 6) + -11 + 11).
-2
What is 1 - (-4 + 3 + -4 - -2)?
4
Calculate 8 - 5 - -2 - 10.
-5
What is -6 - -1 - (-2 - 1)?
-2
What is -5 + (1 - -3) + -4?
-5
What is the value of -7 + 0 + (-1 - -1)?
-7
Calculate 0 + -9 + (20 - 4).
7
What is (4 - (4 + -10)) + -15?
-5
Evaluate -2 + (-6 - (-5 - -2)).
-5
-1 - (2 + -7 + 3)
1
Calculate 3 + (-5 - -4) + -4.
-2
What is the value of -2 + 3 + 1 + -2?
0
Calculate -7 - 2 - (64 + -73).
0
What is the value of 0 - 2 - -2 - (20 + -17)?
-3
Calculate -1 + -1 + (-7 - -16).
7
Calculate -7 + 2 + (14 - 2 - 7).
0
(24 - 22) + 1 + 0
3
Evaluate (11 - 13) + (0 - (-3 + 0)).
1
What is (-9 + 19 - 6) + -10?
-6
Calculate 2 - (8 - (-5 - -9)).
-2
Calculate (-3 - (-5 - -1)) + -2 + 4.
3
What is -4 - -1 - (-18 - -18)?
-3
What is 0 + -5 + 4 + -3?
-4
What is -2 + 11 + -1 - (-6 - -9)?
5
Evaluate 1 - -2 - ((5 - 5) + -2).
5
Calculate -5 + ((4 - 7) + 4 - 2).
-6
Evaluate (0 - 11) + 3 + 5 + -3.
-6
What is the value of 2 - (-2 - ((-5 - -3) + -1))?
1
Evaluate -1 - (-4 - -5 - 1).
-1
Evaluate (-1 - 6) + 33 + -27.
-1
What is -8 + -2 - (-2 + -4)?
-4
3 + -11 + (3 - -1)
-4
Calculate (6 + -7 - 3) + 2 + 6.
4
What is the value of (9 - (2 + (0 - -2))) + 6?
11
What is -19 - -23 - ((0 - 3) + 13)?
-6
Calculate (-1 - -4) + -8 + 0.
-5
Calculate 7 + -3 - (9 + -3).
-2
-9 + 6 + 0 + 0
-3
Calculate -2 + 1 + 3 + -3 + -4.
-5
-6 + -4 + 8 - 0
-2
What is (-2 - (-1 + 5)) + 6 - -5?
5
Evaluate (0 - (-3 + -1 - 3)) + -4.
3
Evaluate -3 + -1 - (-5 - (-12 + 10)).
-1
What is the value of 0 - 0 - (3 + -1 - 1)?
-1
4 + -2 - -1 - (5 - 2)
0
What is the value of (-32 - -36) + 1 + -2 + -1?
2
Calculate -2 + (-2 - -6) + -10 + 8.
0
What is 0 - (32 - 36 - (-1 - 1))?
2
Evaluate -2 - (-5 - 1) - (-5 - -5).
4
Evaluate -6 - (-7 + 7 + -6 - 11).
11
Evaluate 8 + -2 - (26 - 15).
-5
5 - (31 - 11) - -8
-7
What is the value of 12 - (7 + 6 - 9)?
8
Calculate 4 - (6 + 3 + 2).
-7
-1 + (6 - (6 - -1))
-2
0 + 10 + (-4 - 0) + 0
6
Evaluate -3 - ((7 - 7) + 3).
-6
Evaluate -1 + -16 - (-155 - -149).
-11
What is (3 - -1) + (-14 - -11)?
1
-15 + 11 + 10 + -2 + -6
-2
2 + -3 - (-4 - (-3 - 5))
-5
Calculate -8 + 1 - -4 - (-6 - -6).
-3
What is (5 - (5 - 3 - -4)) + -2?
-3
(3 - -2) + -17 + (4 - -4)
-4
What is (-11 - -12) + (-1 + 2 - -2)?
4
What is the value of 2 - (4 + 2) - (58 + -58)?
-4
11 + (-3 - (3 - 1))
6
Calculate -13 + -2 + -2 + 11.
-6
What is 10 + -6 + (-2 - (-3 + 1))?
4
What is the value of 3 - (-2 + (-5 - -10))?
0
What is 1 + (0 - 1) - (-10 + 9)?
1
Calculate -2 + (6 - (-1 + 0)).
5
Evaluate (11 - 2) + -5 + -1 + 1.
4
What is 4 + (-28 - (-14 - -1))?
-11
Evaluate (8 - 20) + 8 + 1.
-3
What is -6 - (-10 + 4) - 2?
-2
Calculate 0 + 1 + 0 + 1 + -1.
1
Evaluate 3 + -8 + (8 - 0).
3
Evaluate (9 - (3 + 3)) + -8.
-5
Calculate 18 + -19 + -1 + 4.
2
Calculate -19 + -11 + 1 + 18.
-11
2 - (-14 + 8 + -1 + 4)
5
Calculate 4 - 1 - (-9 - -12 - 0).
0
What is the value of -9 + -1 - (0 + 0 + -3)?
-7
Calculate 2 + (11 - (13 + 7)).
-7
Evaluate -7 - (-6 - (5 - 12)).
-8
What is -5 + (-4 - 4 - (-7 - -1))?
-7
(-1 - -2 - -4) + -45 + 44
4
Calculate (1 - 3) + 8 - (6 - -7).
-7
-4 - ((2 - -1) + -3)
-4
What is 2 - (10 + -4 + 1)?
-5
What is the value of 29 - 29 - ((0 - 1) + 2)?
-1
What is the value of -5 + -5 + 1 + 4?
-5
-1 + -9 + 6 - (-2 + -6)
4
What is the value of (6 - 0) + 2 + -2?
6
Evaluate 0 + (-1 - -3 - 2) - -3.
3
(-7 - (-2 + -2)) + 4 + 4
5
Evaluate (-1 + 8 - 0) + 12 + -15.
4
-2 + (5 - 5) - 1
-3
6 + (4 + -13 - -4)
1
What is -3 - (5 - 14) - (1 + 0)?
5
6 + (4 - 17) + 1 - -4
-2
Calculate (6 - 1) + -7 - -6.
4
What is 0 - -4 - (8 - 6 - -7)?
-5
What is the value of 7 - (7 + -6) - 11?
-5
What is -1 - -8 - -2 - (-68 - -71)?
6
What is (4 + -4 + 0 - -7) + -2?
5
What is the value of 3 - (-5 + (-2 - -6))?
4
(12 - 6 - 6) + (4 - 1)
3
Calculate 46 + -40 - (1 - -5).
0
Evaluate -1 + 1 - ((0 - -2) + -5).
3
Calculate 4 + 5 + (-7 - -3).
5
Calculate (-6 - -18) + (-26 - -11).
-3
What is the value of 2 - (-3 - (1 + -2))?
4
Calculate 7 + 10 + -6 + -6.
5
What is (8 - -4) + -5 - 3?
4
What is -4 - (-7 + 3 + 5)?
-5
Evaluate -2 + 6 + (-10 + -5 - -5).
-6
Calculate 0 - (-4 - 0 - -5).
-1
What is -11 - (7 - 10 - (3 + -1))?
-6
Evaluate -17 - (-10 - 2) - 3.
-8
What is -4 - (2 + 3 - 6 - 3)?
0
Calculate (4 - 0 - -3) + (16 - 29).
-6
Calculate 3 + (3 - 10) + 4 + -3.
-3
Calculate 18 - ((-7 - -20) + -2).
7
What is 0 + (-2 - -1) - (35 - 41)?
5
-1 - 8 - (-13 - -2 - -8)
-6
What is 6 + 3 + -7 - (1 - -2)?
-1
Calculate -14 - -22 - (-4 + 13 + -2).
1
Evaluate 3 + 0 - (16 - 11).
-2
Evaluate (-10 - -3) + -3 + 5 - -1.
-4
What is -3 + (9 - -1) + -1?
6
What is the value of (0 - 4) + 17 + -19?
-6
Evaluate 5 + 2 + (-166 - -156).
-3
-3 - (-2 - 1) - (4 + -1)
-3
What is 4 + 3 + 1 - 10?
-2
What is the value of (0 - -2 - -2) + -3 - 2?
-1
Evaluate 3 + -11 + 1 + 4.
-3
What is the value of 0 + -3 + (15 - 13) - -4?
3
What is (-13 - -2) + (-16 - (-18 + -2))?
-7
0 + -4 + 1 + 1
-2
1 + 2 + -25 + 26
4
What is the value of 4 - ((0 - 0) + (22 - 22))?
4
What is the value of -1 + 0 - (-11 - -5)?
5
1 + (-4 - 2 - -3) + 2
0
Calculate (5 - (-12 + 11)) + 1.
7
Evaluate -7 + (12 - 5) + 0 + -2.
-2
Evaluate 1 - (0 + 2) - (5 + -5).
-1
What is 6 + 0 - 1 - 2 - -1?
4
10 - 5 - 3 - 0
2
What is the value of -2 - (-1 + -1) - (9 + -10)?
1
What is the value of -2 + -2 + 7 - 8?
-5
What is (0 - 0) + 3 - 1?
2
What is the value of 3 + 2 + -6 + -1?
-2
What is the value of -5 + -1 + 9 + -9 + -2?
-8
0 + 6 + -5 - 6
-5
Evaluate -2 - 0 - (9 + -11 + -1).
1
Evaluate 1 + -2 - -1 - (156 - 150).
-6
Calculate 0 + (-3 - 3) + 6.
0
What is the value of -1 + 11 + (3 - 7)?
6
Calculate -4 - (-4 + 4) - (0 + -4).
0
15 + -9 - (2 - 1)
5
Calculate -19 + (-13 - -21) + 16.
5
What is -4 + (-2 - 3) - -5?
-4
What is 4 + 3 + -5 - (-3 - 0)?
5
6 + (-3 - -4) + (5 - 3)
9
What is the value of (-1 - -4) + -11 + 0?
-8
Calculate -7 + (1 - 3 - (-14 + 10)).
-5
What is the value of -23 - -17 - (-6 - (-1 - 0))?
-1
Calculate (6 + -8 - 2) + 0.
-4
What is the value of -113 + 111 + 0 + 4 + -2?
0
What is the value of (-4 - -1 - 1) + 11 + -2?
5
Calculate -9 + 0 - (-3 - 7 - -7).
-6
Evaluate 0 + 0 + (1 + -1 - 0).
0
3 - (20 - (-10 + 20))
-7
What is the value of 5 + 2 - (8 - 1)?
0
Evaluate -9 + 10 + (-2 - -6 - 1).
4
-4 + -2 + 5 + 0 - -2
1
What is -4 + 10 + -2 - 2 - -3?
5
What is 4 + (-1 - 4) - (0 + -2)?
1
What is the value of (-2 - -3 - 1) + -4 + -1?
-5
3 + -2 - (-12 - -14)
-1
What is the value of -1 + -5 - (-5 + 0 + 1)?
-2
What is 5 + -7 + (-2 - (-7 - -2))?
1
-5 + -9 - (0 + -13)
-1
What is the value of -17 + 1 - (-99 + 89)?
-6
Calculate -1 - (5 - (7 + 2)).
3
What is -14 + -1 + 2 + 6?
-7
(23 - 9) + -3 + -5
6
Calculate 0 - -5 - (7 - (-2 - -4)).
0
What is 2 + 11 + -6 + -2?
5
What is the value of -1 + -2 + -13 + (10 - 0)?
-6
Calculate 4 - (-7 + (2 - (-6 + 0))).
3
Calculate 6 + -3 + -3 - 2 - 2.
-4
(0 - 0) + (1 - 2) - -3
2
-6 + (4 - (-2 - 7)) + 0
7
Evaluate (9 - (0 - 2)) + (-6 - -1).
6
What is -10 - (-24 - (-10 - 1))?
3
Calculate (-48 - -52) + (-1 - 0).
3
(-2 - -3) + 2 + -4 + 7
6
What is the value of -7 + (6 - 6 - -2 - 0)?
-5
What is the value of 6 - (0 + -3 - -7)?
2
(-8 - (-5 + 1)) + -1 + 0
-5
What is 2 - 7 - (-1 + -2)?
-2
Evaluate (4 - (3 - -1)) + 0.
0
What is -1 + 0 + 6 + -6?
-1
Calculate 0 + 1 - (4 + 0).
-3
Calculate -4 + -13 + 6 + 7.
-4
What is the value of -1 + 1 - (11 - (-11 - -23))?
1
What is 6 + (-4 - -6 - 4)?
4
Calculate (2 - 7) + (-2 - (2 - 15)).
6
-20 + 14 - (2 - 2 - 2)
-4
What is (13 - 19) + (1 - (-1 - -1))?
-5
What is the value of | {
"pile_set_name": "DM Mathematics"
} |
-52
Let a(u) = -u**3 + 6*u**2 + 47*u + 124. Give a(-5).
164
Let q(o) = 5*o**3 + 28*o**2 + 62*o - 1. What is q(-7)?
-778
Let z(x) = -48*x - 87. Calculate z(-5).
153
Let j(i) = 30*i + 1927. What is j(-55)?
277
Let v(w) = 8*w**2 - 254*w - 17. What is v(31)?
-203
Let j(p) = -13*p**2 - 368*p + 268. Determine j(-29).
7
Let d(k) = -k**3 + 9*k**2 - 8*k + 3. Determine d(7).
45
Let z(o) = -o**3 + 4*o + 27. Determine z(0).
27
Let q(w) = 3*w**2 + 209*w + 1373. What is q(-7)?
57
Let f(o) = 415*o + 31141. What is f(-75)?
16
Let x(j) = -2*j**2 + 726*j - 13716. Give x(20).
4
Let a(x) = 3*x**2 - 26*x - 3. Calculate a(9).
6
Let k(g) = 3*g**2 + 994*g + 326. Give k(-331).
-5
Let q(m) = -2*m**3 + 13*m**2 + 2*m + 29. Determine q(7).
-6
Let b(v) = 22*v + 171. Give b(-15).
-159
Let g(l) = l**3 + 6*l**2 + 2*l - 2. Calculate g(-6).
-14
Let d(h) = h**2 + 54*h - 113. Determine d(2).
-1
Let t(n) = 2*n**3 + 200*n**2 - 768*n + 6655. Calculate t(-104).
-1
Let i(u) = -u**3 - 8*u**2 + 14*u - 36. Calculate i(-10).
24
Let u(x) = -1034*x - 3105. Determine u(-3).
-3
Let o(b) = -39*b - 233. Give o(-3).
-116
Let h(n) = 52*n - 45. Give h(1).
7
Let x(s) = 2*s**3 + 18*s**2 + 41*s + 11. Calculate x(-5).
6
Let l(p) = -23*p**2 - 47*p - 169. Calculate l(-4).
-349
Let f(b) = b**3 + 20*b**2 + 67*b + 145. Calculate f(-13).
457
Let p(m) = -m**2 + 82*m + 125. Calculate p(83).
42
Let p(n) = -90*n + 4155. Give p(46).
15
Let b(z) = -z**2 + 102*z + 2588. Determine b(-21).
5
Let a(u) = 27*u - 748. Give a(30).
62
Let g(d) = 2*d**3 - 27*d**2 + 132*d - 1106. What is g(12)?
46
Let h(q) = q**2 + 189*q + 4892. Determine h(-31).
-6
Let g(v) = 2*v**3 + 46*v**2 - 48*v + 29. What is g(-24)?
29
Let p(a) = -4*a**2 + 34*a - 77. Determine p(3).
-11
Let k(z) = z**3 + 14*z**2 - 30*z - 546. Give k(-13).
13
Let d(i) = -3*i**2 + 11*i + 502. What is d(-11)?
18
Let w(q) = 6*q + 38. Give w(0).
38
Let x(c) = 17*c**3 - 8*c**2 - 7*c + 15. Determine x(2).
105
Let o(q) = q**3 + 16*q**2 + 26*q + 299. Determine o(-14).
327
Let v(w) = 2*w**2 + 53*w + 419. Determine v(-10).
89
Let m(s) = -s**3 + 27*s**2 - 40*s - 59. Determine m(25).
191
Let a(i) = -225*i - 6479. Calculate a(-29).
46
Let g(w) = 81*w**2 - 8*w + 31. Determine g(2).
339
Let u(c) = -c**3 + 33*c**2 - 139*c - 42. What is u(28)?
-14
Let s(d) = 2*d**2 + 2*d + 5. Calculate s(-5).
45
Let y(h) = -4*h**2 - 16*h + 6. What is y(-4)?
6
Let x(d) = d**3 + 45*d**2 - 102*d + 29. Give x(2).
13
Let t(k) = -3357*k + 67145. Determine t(20).
5
Let x(k) = k**2 - 158*k - 38271. What is x(290)?
9
Let a(r) = -2*r**3 - 86*r**2 - 97*r - 106. What is a(-42)?
440
Let r(j) = -j**3 - 14*j**2 - 17*j - 44. Determine r(-12).
-128
Let j(c) = -5*c - 82. What is j(-5)?
-57
Let m(g) = -g**3 + g**2 + 7*g + 3. Give m(-2).
1
Let i(z) = z**2 - 30*z + 16. Calculate i(28).
-40
Let s(h) = 2*h**2 + 18*h - 576. Determine s(-22).
-4
Let b(g) = g**2 - 777*g - 3900. Calculate b(-5).
10
Let z(a) = -a**2 + 12*a + 224. Calculate z(21).
35
Let d(a) = 14*a**3 - 16*a**2 + 15*a - 21. Determine d(2).
57
Let v(k) = 236*k + 11336. Give v(-48).
8
Let r(w) = -11*w**2 - 211*w - 42. Calculate r(-19).
-4
Let q(t) = -195*t + 210. Determine q(1).
15
Let p(j) = 9*j**2 + 9*j - 10. What is p(0)?
-10
Let a(f) = -25*f + 32. What is a(-6)?
182
Let h(x) = -2*x**3 - 12*x**2 - 16*x + 13. Calculate h(-6).
109
Let a(g) = 1814*g - 1807. Determine a(1).
7
Let c(v) = v**2 - 67*v - 3843. What is c(103)?
-135
Let z(v) = 6*v**2 - 195*v + 710. Calculate z(4).
26
Let m(i) = -2*i**2 + 8*i + 28. Give m(-5).
-62
Let j(n) = -1758*n + 22847. Give j(13).
-7
Let y(v) = v**3 + 4*v - 5. Give y(3).
34
Let m(j) = -20*j + 1418. Calculate m(71).
-2
Let t(u) = u**3 + 25*u**2 + 14*u - 223. Give t(-24).
17
Let n(a) = -3*a**2 + 56*a + 184. Determine n(-3).
-11
Let o(x) = x**3 - 9*x**2 + 6*x - 66. Calculate o(9).
-12
Let t(x) = -189*x**3 + 4*x - 4. Determine t(1).
-189
Let m(l) = l**3 + 41*l**2 + 294*l + 2946. What is m(-35)?
6
Let y(m) = -185*m**2 - 54019*m + 290. Give y(-292).
-2
Let w(h) = -h**2 - 77*h + 1475. Determine w(16).
-13
Let c(l) = 52*l - 1605. Determine c(31).
7
Let t(z) = -z**3 + 9*z**2 - 6*z - 64. Give t(7).
-8
Let y(k) = 20*k - 68. Determine y(3).
-8
Let z(t) = 60*t**3 + 2*t**2 - 6*t + 4. Determine z(1).
60
Let i(c) = 340*c - 101320. Calculate i(298).
0
Let t(m) = -9*m - 638. What is t(-47)?
-215
Let t(j) = 12*j**2 - 243*j - 465. What is t(22)?
-3
Let u(m) = 2*m**3 + 90*m**2 + 89*m + 50. What is u(-44)?
6
Let n(b) = 3*b**3 - 45*b**2 + 36*b - 27. What is n(11)?
-1083
Let a(j) = -j**3 - 104*j**2 - 2688*j + 5. Determine a(-48).
5
Let g(w) = w**2 + 343*w + 7654. Calculate g(-24).
-2
Let f(m) = m**3 - 42*m**2 + 375*m + 52. Calculate f(29).
-6
Let s(q) = q**3 + 6*q**2 + 2*q - 1. Give s(-6).
-13
Let j(r) = r**3 + 23*r**2 + 39*r + 93. Determine j(-23).
-804
Let q(t) = -t**3 - 17*t**2 - 85*t - 73. Calculate q(-7).
32
Let z(m) = 31*m**2 + 5*m. What is z(-1)?
26
Let x(w) = -134*w + 947. Give x(7).
9
Let l(r) = -4*r**2 + 228*r + 680. Calculate l(-3).
-40
Let y(c) = -25*c - 343. Calculate y(-12).
-43
Let g(i) = 8*i - 1098. What is g(90)?
-378
Let b(r) = 1630*r - 30953. Give b(19).
17
Let b(m) = -11*m**2 - 8*m - 36. What is b(-7)?
-519
Let o(k) = 3*k**2 + 645*k + 647. Determine o(-1).
5
Let x(i) = 3*i**2 - 42*i - 51. Determine x(15).
-6
Let p(i) = -i**2 + 106*i - 682. Give p(7).
11
Let g(k) = k**2 + 11*k - 153. What is g(7)?
-27
Let l(n) = 2*n**3 - 110*n**2 + 3*n - 161. What is l(55)?
4
Let s(m) = -51*m**2 + 99*m. What is s(2)?
-6
Let y(q) = -q**3 - 46*q**2 + 96*q + 9. Calculate y(-48).
9
Let m(v) = -4*v**3 + 3*v**2 - 44*v + 45. What is m(1)?
0
Let v(g) = -4*g**2 + 53*g + 22. Determine v(14).
-20
Let d(o) = 101*o - 8183. Calculate d(80).
-103
Let p(l) = 70*l + 126. What is p(-2)?
-14
Let y(b) = -66*b**3 - 3*b**2 + 3*b - 1. Calculate y(1).
-67
Let b(f) = -758*f + 50777. Determine b(67).
-9
Let o(b) = 23*b**3 - 70*b**2 + 17*b - 41. Calculate o(3).
1
Let v(u) = 28*u**2 - 1936*u + 278. Give v(69).
2
Let c(d) = -d**2 - 76*d + 48. Determine c(-76).
48
Let x(n) = 4294*n + 42936. Give x(-10).
-4
Let b(x) = 2*x**3 - 33*x**2 - 196*x + 3728. What is b(14)?
4
Let n(i) = -10*i + 822. What is n(83)?
-8
Let r(i) = 49*i + 3. What is r(6)?
297
Let w(i) = -584*i - 4671. Give w(-8).
1
Let s(i) = -2*i**3 + 11*i**2 - 769*i + 4650. What is s(6)?
0
Let u(q) = -5*q**2 + 25*q - 115. Give u(11).
-445
Let p(b) = -114*b - 283. What is p(-5)?
287
Let c(x) = 93*x - 1161. Calculate c(11).
-138
Let m(o) = o**3 + 16*o**2 + 37*o - 57. Calculate m(-13).
-31
Let k(m) = -m**3 - 24*m**2 - 4*m - 1489. Determine k(-26).
-33
Let p(g) = g**3 - 8*g**2 + 3*g + 4. Give p(2).
-14
Let r(f) = -8*f**3 - 41*f**2 - 13*f + 48. What is r(-5)?
88
Let x(u) = -3*u**2 + 102*u + 220. What is x(-2)?
4
Let o(s) = -51*s + 81. What is o(7)?
-276
Let o(u) = -2*u**3 + 28*u**2 - 30*u + 42. Give o(13).
-10
Let o(c) = 3*c**3 + 52*c**2 + 29*c - 116. What is o(-17)?
-320
Let d(n) = -2807*n + 22456. Give d(8).
0
Let r(k) = -2*k**3 + 127*k**2 - 60*k - 199. Calculate r(63).
-10
Let v(r) = -47*r + 1985. Determine v(42).
11
Let i(z) = -10*z - 726. Give i(-20).
-526
Let l(i) = 89*i - 1161. Determine l(13).
-4
Let y(a) = -1115*a - 7814. Determine y(-7).
-9
Let s(t) = -25*t**2 - 555*t - 114. Give s(-22).
-4
Let v(c) = -6*c**3 + 7*c**2 - 10*c + 2. Calculate v(3).
-127
Let o(t) = -105*t**2 + 92*t + 22. Determine o(1).
9
Let o(p) = 12*p**3 - 20*p**2 - 85*p - 8. Give o(-4).
-756
Let i(g) = -g**3 - 13*g**2 + 15*g - 19. What is i(-14)?
-33
Let z(c) = 17*c + 256. Determine z(-19).
-67
Let r(i) = -10*i + 17. Calculate r(2).
-3
Let m(x) = x**3 - 32*x**2 - 143*x - 7. What is m(-4)?
-11
Let h(t) = -91*t + 2008. Calculate h(22).
6
Let f(a) = 2*a**3 - 3*a**2 - 158*a - 35. What is f(-8)?
13
Let p(c) = -c**3 - 17*c**2 + 38*c + 14. Calculate p(-19).
14
Let a(w) = w**3 + 72*w**2 + 564*w - 165. Determine a(-63).
24
Let i(w) = 20*w**3 - 160*w**2 + 2*w - 30. Give i(8).
-14
Let h(z) = -z**3 + 8*z**2 - 264*z + 1835. Give h(7).
36
Let o(x) = 349*x + 12549. What is o(-36)?
-15
Let f(g) = 267*g**2 - 32*g + 32. What is f(1)?
267
Let y(a) = a**2 + a - 64. What is y(-12)?
68
Let r(s) = -2*s**3 - 12*s**2 + s - 97. What is r(-7)?
-6
Let x(a) = -5*a - 154. Determine x(-17).
-69
Let b(n) = -6*n - 246. What is b(-28)?
-78
Let t(p) = -p**2 - 13555*p + 54249. Give t(4).
| {
"pile_set_name": "DM Mathematics"
} |
ng 2 e.
7/12
Two letters picked without replacement from {n: 3, b: 4, l: 1}. What is prob of picking 2 b?
3/14
Two letters picked without replacement from {l: 1, a: 11, b: 7}. Give prob of picking 2 a.
55/171
Two letters picked without replacement from {f: 6, y: 2, s: 9}. Give prob of picking 2 f.
15/136
Calculate prob of picking 1 z and 1 o when two letters picked without replacement from zodwn.
1/10
Four letters picked without replacement from {u: 7, p: 3}. What is prob of picking 2 p and 2 u?
3/10
Two letters picked without replacement from exxxexeexx. Give prob of picking 2 x.
1/3
Three letters picked without replacement from {u: 4, q: 3}. What is prob of picking 3 q?
1/35
Two letters picked without replacement from xqqxxxxqyq. What is prob of picking 1 x and 1 y?
1/9
Two letters picked without replacement from {j: 1, l: 2, y: 1, i: 1}. Give prob of picking 1 j and 1 l.
1/5
Two letters picked without replacement from uqcuu. Give prob of picking 1 c and 1 u.
3/10
Calculate prob of picking 2 d when two letters picked without replacement from ddbdbbddbdd.
21/55
What is prob of picking 4 w when four letters picked without replacement from wzzz?
0
Four letters picked without replacement from {u: 1, y: 2, v: 1, o: 5, r: 1}. Give prob of picking 1 y, 1 r, 1 o, and 1 u.
1/21
Two letters picked without replacement from {d: 11, m: 1, e: 1, g: 1, y: 3, b: 1}. Give prob of picking 1 b and 1 m.
1/153
Three letters picked without replacement from {z: 1, f: 5, m: 14}. Give prob of picking 3 f.
1/114
Calculate prob of picking 1 j, 1 s, and 1 f when three letters picked without replacement from pmjjfsjsfjjjsjs.
8/65
Calculate prob of picking 1 o and 1 z when two letters picked without replacement from xozzz.
3/10
Calculate prob of picking 1 z and 1 e when two letters picked without replacement from zzhhzzgzlzlzhgezz.
9/136
What is prob of picking 1 f and 1 r when two letters picked without replacement from rufrrrffrrrfrr?
36/91
Calculate prob of picking 2 s when two letters picked without replacement from {u: 3, j: 3, q: 2, n: 2, c: 1, s: 3}.
3/91
What is prob of picking 1 n and 1 q when two letters picked without replacement from {n: 5, q: 9}?
45/91
Two letters picked without replacement from llyillua. Give prob of picking 2 l.
3/14
Calculate prob of picking 2 y, 1 c, and 1 z when four letters picked without replacement from czuyyzgpzuzyyyu.
8/273
Calculate prob of picking 1 d, 1 m, and 1 f when three letters picked without replacement from {m: 3, t: 5, f: 4, d: 4}.
3/35
Calculate prob of picking 3 t and 1 e when four letters picked without replacement from rryyttetty.
2/105
Three letters picked without replacement from {z: 2, s: 1, m: 6, b: 2}. What is prob of picking 3 s?
0
Four letters picked without replacement from rrojoojr. Give prob of picking 3 r and 1 o.
3/70
Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {o: 6, i: 1, b: 1, m: 3, y: 2}.
15/143
Two letters picked without replacement from dkddk. Give prob of picking 1 k and 1 d.
3/5
What is prob of picking 2 y when two letters picked without replacement from ewygzwy?
1/21
Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {o: 8, e: 1, j: 2, n: 5, f: 1}.
1/17
Calculate prob of picking 2 v when two letters picked without replacement from {e: 7, v: 6, q: 2}.
1/7
What is prob of picking 2 r and 1 z when three letters picked without replacement from {y: 2, b: 3, r: 8, v: 2, g: 2, z: 2}?
56/969
Calculate prob of picking 1 n and 1 z when two letters picked without replacement from kkkkknkznknknznk.
1/12
Three letters picked without replacement from rbrbbroarba. What is prob of picking 3 b?
4/165
Three letters picked without replacement from {s: 3, j: 3, e: 1, l: 1, o: 5, d: 5}. Give prob of picking 1 l and 2 j.
1/272
What is prob of picking 1 k and 1 m when two letters picked without replacement from {k: 1, d: 1, m: 12}?
12/91
Two letters picked without replacement from dllldllll. Give prob of picking 2 l.
7/12
Two letters picked without replacement from {i: 6, u: 5, p: 2, v: 1, b: 3}. What is prob of picking 1 i and 1 b?
9/68
Calculate prob of picking 4 y when four letters picked without replacement from {y: 4}.
1
Calculate prob of picking 1 v and 2 h when three letters picked without replacement from hhhvhvv.
18/35
Four letters picked without replacement from qqqhhqqhqhq. What is prob of picking 1 h and 3 q?
14/33
Calculate prob of picking 1 e, 1 k, and 1 p when three letters picked without replacement from {p: 1, m: 1, f: 1, v: 2, e: 2, k: 1}.
1/28
Calculate prob of picking 2 r and 1 m when three letters picked without replacement from {i: 2, v: 4, m: 2, r: 3, b: 2}.
3/143
Two letters picked without replacement from tvtzx. What is prob of picking 1 t and 1 z?
1/5
Calculate prob of picking 1 z and 1 f when two letters picked without replacement from blmzfmpp.
1/28
Calculate prob of picking 4 g when four letters picked without replacement from sssssggggsgs.
1/99
Four letters picked without replacement from ivvie. What is prob of picking 2 v, 1 e, and 1 i?
2/5
Two letters picked without replacement from {y: 1, r: 2, l: 3, x: 3, t: 1}. What is prob of picking 2 l?
1/15
Calculate prob of picking 1 l and 2 v when three letters picked without replacement from {l: 5, v: 15}.
35/76
Calculate prob of picking 1 v, 2 r, and 1 g when four letters picked without replacement from hjgvkrk.
0
Calculate prob of picking 4 h when four letters picked without replacement from {o: 4, h: 14}.
1001/3060
Four letters picked without replacement from {h: 1, v: 3, e: 1, p: 1, b: 2, o: 4}. Give prob of picking 4 o.
1/495
Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {f: 1, v: 1, a: 2, b: 1}.
1/10
What is prob of picking 1 s, 2 v, and 1 l when four letters picked without replacement from bbvvlvsvbsvvvsvcvs?
4/85
What is prob of picking 1 t and 2 b when three letters picked without replacement from {i: 2, j: 3, b: 1, a: 3, z: 1, t: 2}?
0
What is prob of picking 2 i when two letters picked without replacement from {w: 8, m: 1, i: 10}?
5/19
Calculate prob of picking 1 y and 2 o when three letters picked without replacement from oyokny.
1/10
Two letters picked without replacement from uueuueuuueeeuueeee. Give prob of picking 2 e.
4/17
Two letters picked without replacement from mzzoz. What is prob of picking 1 z and 1 m?
3/10
Two letters picked without replacement from jmmmn. Give prob of picking 2 m.
3/10
What is prob of picking 1 d and 1 q when two letters picked without replacement from vbdqblblvdvhlhvbd?
3/136
What is prob of picking 1 b and 1 a when two letters picked without replacement from mbbabmbbabba?
7/22
Four letters picked without replacement from {s: 1, x: 7}. Give prob of picking 3 x and 1 s.
1/2
Four letters picked without replacement from {g: 2, w: 1, r: 2, n: 2, v: 1}. What is prob of picking 1 n and 3 w?
0
What is prob of picking 3 z when three letters picked without replacement from vazynvvzynnzzvzn?
1/56
Calculate prob of picking 3 w and 1 k when four letters picked without replacement from wwwwwwwwkwwwwwwkkw.
91/204
Four letters picked without replacement from {d: 2, g: 4, j: 3}. Give prob of picking 1 d and 3 g.
4/63
Two letters picked without replacement from nllnnlnnylpndl. Give prob of picking 1 l and 1 y.
5/91
What is prob of picking 2 c and 1 m when three letters picked without replacement from mmmmmmmmmmmccccmmm?
7/68
Two letters picked without replacement from tndtnddd. Give prob of picking 1 d and 1 t.
2/7
What is prob of picking 2 j when two letters picked without replacement from jsjttotyjyoj?
1/11
What is prob of picking 1 f and 1 g when two letters picked without replacement from {f: 1, g: 8, o: 1, z: 7}?
1/17
What is prob of picking 1 f and 1 y when two letters picked without replacement from {f: 3, y: 5, m: 1}?
5/12
Calculate prob of picking 3 j when three letters picked without replacement from juuujuuuuuuuju.
1/364
Two letters picked without replacement from xxpppxpxpypyx. What is prob of picking 1 y and 1 x?
5/39
Two letters picked without replacement from {i: 1, e: 1, w: 1, c: 1, t: 1}. What is prob of picking 1 e and 1 w?
1/10
What is prob of picking 1 t and 1 y when two le | {
"pile_set_name": "DM Mathematics"
} |
What is the nearest to 0 in c, -5, v, -0.3?
v
Let o be (-8)/44 + 72/154. Let f = -6280 - -6283. Let j = -1 + 1. Which is the closest to -0.1? (a) f (b) o (c) j
c
Let t = 0.7873 - 0.7873. Which is the nearest to -2/5? (a) -246 (b) -2/7 (c) t
b
Let p be (2 - (-16)/(-10))*10/(-26). Let o = -2.9628 + -0.0372. Which is the nearest to -2/5? (a) o (b) p (c) 5
b
Let i be 132/198*(-135)/(-18). Which is the closest to -1? (a) 2/5 (b) 0.2 (c) -2616 (d) i
b
Let f = -19 - -20. Suppose 23*j = 29*j + 42. Let s be ((j + 5)/2)/2. Which is the nearest to f? (a) s (b) -3/5 (c) -2
a
Let n be 250/(-240) + 3/8. Which is the closest to 2/9? (a) 0 (b) n (c) -1
a
Let u = -5 + 9. Let n = -706.98 - -707. Let x = -2/67 + -187/469. Which is the closest to -0.2? (a) x (b) u (c) n
c
Let z be 0 - (-2)/((-20)/(-6)). Let x = 11.038 - 7.038. Which is the nearest to 1? (a) 5/3 (b) x (c) z
c
Let f be (-7*1)/(-1)*(-189)/(-2205). What is the nearest to -0.1 in f, -12/11, -0.4, 3?
-0.4
Let n = -34145 + 34136. Suppose -2*r + 28 = 4*j, 7 + 0 = -2*r + 3*j. Which is the nearest to 0? (a) n (b) r (c) 0.3 (d) -3
c
Suppose 0 = -5*t + 5*d + 75, 0 = 10*t - 13*t + 4*d + 48. Let k(l) = l**2 - 12*l + 1. Let s be k(t). Which is the closest to 0.3? (a) -0.1 (b) s (c) -2/3
a
Let p = -0.8195 - -0.7695. What is the closest to -3 in p, -2, 3/8?
-2
Let u = 136.899 - 137. Let c = u - -20.101. Let x be -1 + 12/(-9) - -3. What is the closest to -1/3 in x, -1/3, c?
-1/3
Let m = -262.6 - -263. Let w = -2131/3 - -681. Let x = 29 + w. What is the nearest to 0 in x, 5, m?
x
Let v(k) = 17*k - 103. Let w be v(6). Which is the closest to -1/3? (a) -1/4 (b) 3 (c) w (d) 4
a
Let v = 713 - 708. Suppose -v*f - 5*l + l - 104 = 0, f + 5*l = -25. Which is the nearest to 1? (a) -5 (b) f (c) 4 (d) 2
d
Let y be (-476)/2 + (6/2 - 3). Let u = y - -243. Let d = 0.14 - 0.04. What is the nearest to 1 in 2, d, u?
d
Let l = 301.6 - 301.7. Let r = -436/51 - -26/3. Which is the closest to 2? (a) l (b) r (c) -0.3
b
Let z = 11 + -9. Let o = 1 + -0.6. Let x be -14*(-8)/336*(-6)/16. Which is the nearest to 1? (a) x (b) z (c) o
c
Let g = -825/13 - -1663/26. Which is the nearest to g? (a) -0.2 (b) -154 (c) 3
a
Let r be 70/6*(-15)/5. Let g be (7/r)/(3/83). Let i = g - -16/3. What is the nearest to 0 in i, -6/7, 4/5?
i
Let x be ((-8)/(-2))/4 - 1. Let k(g) = -1. Let d(r) = -2*r - 8. Let l(h) = 2*d(h) - 22*k(h). Let z be l(2). What is the nearest to 0 in z, -5, x?
x
Suppose 4*m - 19 + 3 = 0. Let l = 319 - 323.38. Let x = l - -5.38. Which is the closest to x? (a) m (b) 7/4 (c) -5
b
Let n = 2/4837 + -4843/14511. What is the closest to -172 in -0.1, n, -3?
-3
Let g = 5.618 - 0.618. Which is the nearest to -4/11? (a) -0.13 (b) g (c) -1/2
c
Let f = -655.3 - -655. Let p = -235/4 - -59. Let q be (-8)/(-68) + (-40)/51. Which is the closest to p? (a) -6 (b) q (c) f
c
Let k be 4/5*(-170)/(-4). Let n be (-1 + 2)/(85/k). Which is the closest to 3? (a) -1/9 (b) -0.2 (c) n
c
Let o = 0.2 - 1.2. Let j = -1.4 - o. Suppose 3*n - 31 = 5*x - 32, -x = -n + 1. Which is the nearest to x? (a) 5 (b) 1/2 (c) j
b
Let b = -13664 + 341599/25. What is the nearest to -1 in 6, -0.5, b?
-0.5
Let p = 6381 - 6382. What is the closest to p in -6, 2.3, -4?
-4
Let z = -449 - -537.2. Let g = -88 + z. Let k = -4 + 8. What is the nearest to 1/3 in -4, k, g?
g
Let r = -12037/8 - -1505. Which is the nearest to 13? (a) 8.9 (b) -2 (c) r
a
Let y = 0.1 - 0.06. Let r be 6/(-20)*((-847)/63 - -14). Which is the closest to 2/11? (a) y (b) r (c) -2
a
Let s be (2/(-22))/(((-1)/9)/((-38)/171)). What is the closest to -14 in -2/5, 0.4, s, -6/11?
-6/11
Let d = -53.67 - 894.33. Which is the closest to 0.1? (a) d (b) -4 (c) 2
c
Let w be (-762)/3429 - (8/(-52) - 3167/117). Let n = -33/2 - -16. Which is the nearest to n? (a) -0.03 (b) -1 (c) w
a
Let g = -4.95 + -0.05. Let n = 5.1 + g. Let s be (-8)/110*((-225)/(-18) + -10). Which is the nearest to n? (a) s (b) -1/11 (c) 0.2
c
Let r = 9238 + -27712/3. Which is the nearest to 1? (a) r (b) -68 (c) 0.2
a
Let w = 226/3 - 76. Let n = -23504 + 23503. Let x = 45/14 - 1007/322. Which is the closest to 1? (a) x (b) w (c) n
a
Let v = 28 + -35. Let o be (24/(-27))/(4/(-294)). Let n = o - 66. Which is the nearest to n? (a) v (b) 3 (c) 2
c
Let l be ((-6)/(-2))/(3/(-4)). Let g = 19018 + -19018.5. What is the closest to 0 in -1.4, l, g?
g
Let a = -19590 + 19591.3. Let n = 0.03 - -0.07. What is the nearest to n in 2, -1, a?
-1
Let h = 0.13 + 2.87. Let m = -0.143 + -32.057. Let p = m + 31.2. What is the closest to p in h, -0.11, 2/13?
-0.11
Let j be (4/24*16)/(3*(-12)/(-54)). Which is the closest to -0.3? (a) j (b) 2/7 (c) -0.8 (d) 2
c
Let w = -733 + 1140.4. Let t = 407 - w. What is the nearest to 0.1 in 2/11, -73, t?
2/11
Let a = 0.35 - 0.05. Let z = 598362/7 + -85480. What is the closest to z in 5, 17, -0.2, a?
a
Let o = 24311 - 24298. What is the closest to 11 in 4, -5, -6, o?
o
Let q = -3854.5 + 3854. Which is the nearest to -1/5? (a) -2/5 (b) -0.1 (c) 1 (d) q
b
Let p = 0.638 + -0.338. What is the nearest to 0.1 in -15, p, 5?
p
Let s(v) = -2*v + 7. Let a be s(3). Let z = -285643/4 - -71411. Let g be (-2)/6 - (-4)/6. What is the closest to g in a, -0.4, z?
z
Let n be 4/(-10) - 8/(-10). Let m(b) = 2*b + 35. Let i be m(-14). Let k be ((-3)/7)/(8/i). What is the closest to n in 0, -3, k?
0
Let g = 75/26 - 577/182. Which is the closest to g? (a) 0 (b) -10/11 (c) 1
a
Let i = 35941.6 - 35942. Let c = -0.9 - 0.1. What is the closest to c in i, -0.01, 0.2?
i
Suppose 0 = 23*v - 3*v - 10400. Let d be 1 - (860/v + 4/(-26)). Which is the nearest to d? (a) -0.2 (b) -2 (c) -2/19
a
Let t be (-1 - 7/(-3))/2. Suppose 62 - 50 = 3*k + 27. Which is the nearest to t? (a) 8/5 (b) k (c) 0
c
Let v = -302 + 307. Let y be (-9)/(-15)*(-5)/15. What is the closest to y in v, 2, -2/3, 1?
-2/3
Let m = 5 - 4.7. Let y be (-5)/2 - 88/176. Let r = -1.6 + 1.62. Which is the nearest to 0? (a) y (b) r (c) m
b
Let v = 423/7609 - 48842/127179. Let n = v - -5/117. What is the closest to 0 in -0.3, n, -0.4?
n
Suppose 17 = s - 12*m + 17*m, 3*s = -2*m + 12. What is the nearest to 0 in s, -7/27, -3?
-7/27
Let l = -0.477 - -0.577. Let q = 0.81 + -2.81. Which is the closest to q? (a) -0.5 (b) -2/15 (c) l (d) 5
a
Let b = -4/43 + 184/129. Let v be (-3380)/(-50) - 1*3. Let s = -65 + v. What is the nearest to 3 in b, 4, s?
4
Let l = -65 + 194. Suppose -6*r + 459 = l. Let z be 4/(-4) + 50/r. Which is the closest to z? (a) 3 (b) 2/5 (c) 0.3
c
Let d = -56.5 + 56.3. What is the closest to 1/5 in 4, d, 2/3, 2/9?
2/9
Suppose 109*p = -612 - 260. Let j = 32.1 + -32. What is the nearest to j in 3, 2/11, 1/7, p?
1/7
Suppose -2*t - 10 = 0, -2*z + 7*z - 3*t - 105 = 0. Suppose 17*u - z*u + 4 = 0. Suppose -s = -u*s - 9. Which is the closest to 0.02? (a) 0 (b) -4 (c) s
a
Let x = 4728.9224 - 4729. What is the nearest to -4 in -3, -0.2, x, 1/2?
-3
Let p be (8 + 408/(-54))*(1 - (-15)/(-42)). Which is the nearest to 1? (a) p (b) 5 (c) -288 (d) 0.4
d
Let i = -0.3 + 0.1. Let m = -0.2 - i. Let z = -255303 - -255306. Which is the closest to m? (a) -1 (b) 0.5 (c) z
b
Let w = -14.05 + 14.75. What is the nearest to -8 in -0.1, 3, w?
-0.1
Let l = -1.524 - 3.476. Let q be 1/12 + (-3)/(-12). Which is the closest to q? (a) l (b) 1/2 (c) 3/7
c
Suppose -53 = -4*j - 53. Suppose j = -2*w - y + 8, y + 0*y + 16 = 4*w. What is the closest to 5/2 in w, 3, -0.1?
3
Let m = -0.204 - -0.404. Suppose -7*r + 12*r = 2*r. Which is the nearest to r? (a) 4 (b) m (c) 2
b
Let s = 41.83 - -0.17. Let d = 91 - s. Let w = 53 - d. What is the closest to w in -0.3, 0.1, 4?
4
Let k = 14486 + -14486. What is the closest to k in -0.2, 314, -9, 2/7?
-0.2
Let d = -104.6185 - 0.0815. Let w = d - -104.7. Suppose -n - 1 = -2*n. Which is the nearest to w? (a) n (b) -1/4 (c) 0.5
b
Let p = 2561 - 2536.86. Let j = p + -26.6. Let t = j + 0.46. Which is the closest to 1/2? (a) 1 (b) -3/4 (c) t
a
Let t = -1041/76 + 3199/228. Let j be (-92)/(-84) - (0 + 1). Which is the closest to t? (a) j (b) -4 (c) 0.1
c
Let b = -33705 - -33702. What is the nearest to 0.97 in b, 1, 4, 0.2?
1
Let k = 0.005 - -0.495. Let i = 0.0423 + -2.0423. Which is the clos | {
"pile_set_name": "DM Mathematics"
} |
5385030 is divided by 1335?
5
What is the remainder when 12415076 is divided by 411?
410
What is the remainder when 105515 is divided by 8105?
150
Calculate the remainder when 38654 is divided by 2023.
217
What is the remainder when 55570 is divided by 18453?
211
What is the remainder when 9651724 is divided by 217?
215
Calculate the remainder when 5978 is divided by 2246.
1486
Calculate the remainder when 41342 is divided by 6132.
4550
Calculate the remainder when 16190 is divided by 3697.
1402
What is the remainder when 892637 is divided by 6?
5
Calculate the remainder when 369279 is divided by 128.
127
Calculate the remainder when 17479 is divided by 5010.
2449
What is the remainder when 6838489 is divided by 51417?
28
Calculate the remainder when 44856 is divided by 21685.
1486
What is the remainder when 5553156 is divided by 343?
329
Calculate the remainder when 48384 is divided by 3578.
1870
What is the remainder when 95960 is divided by 31642?
1034
Calculate the remainder when 154974136 is divided by 885.
16
Calculate the remainder when 78835155 is divided by 75.
30
Calculate the remainder when 155425 is divided by 105.
25
What is the remainder when 4317385 is divided by 187708?
101
What is the remainder when 318253486 is divided by 12?
10
What is the remainder when 84461 is divided by 84325?
136
Calculate the remainder when 85342184 is divided by 3558.
3554
Calculate the remainder when 208597 is divided by 4849.
90
Calculate the remainder when 1026563 is divided by 26322.
5
Calculate the remainder when 7150085 is divided by 1730.
1725
What is the remainder when 257575929 is divided by 63?
51
Calculate the remainder when 632120 is divided by 158007.
92
What is the remainder when 994316 is divided by 28404?
176
What is the remainder when 1781735 is divided by 194?
39
Calculate the remainder when 864696 is divided by 102.
42
Calculate the remainder when 1039575 is divided by 588.
579
Calculate the remainder when 47536 is divided by 190.
36
Calculate the remainder when 33006282 is divided by 218.
210
What is the remainder when 5390175 is divided by 101701?
22
What is the remainder when 1509243 is divided by 4964?
187
Calculate the remainder when 65297 is divided by 549.
515
What is the remainder when 405273 is divided by 19298?
15
What is the remainder when 1520985 is divided by 6035?
165
What is the remainder when 985770 is divided by 492694?
382
Calculate the remainder when 678696 is divided by 61199.
5507
Calculate the remainder when 1896722 is divided by 2612.
410
Calculate the remainder when 98821 is divided by 289.
272
Calculate the remainder when 1644183 is divided by 178.
175
Calculate the remainder when 1367395 is divided by 137.
135
Calculate the remainder when 2913338 is divided by 835.
23
Calculate the remainder when 45663563 is divided by 1426985.
43
What is the remainder when 288435 is divided by 805?
245
What is the remainder when 97112950 is divided by 47?
46
What is the remainder when 453896 is divided by 8728?
40
Calculate the remainder when 65690622 is divided by 1001.
998
Calculate the remainder when 15992071 is divided by 31357.
1
Calculate the remainder when 34682 is divided by 8565.
422
Calculate the remainder when 52715 is divided by 2541.
1895
What is the remainder when 10263 is divided by 5108?
47
Calculate the remainder when 4095654 is divided by 34707.
228
What is the remainder when 234897852 is divided by 78299280?
12
What is the remainder when 190815 is divided by 161?
30
Calculate the remainder when 52021078 is divided by 112.
102
What is the remainder when 24108234 is divided by 87?
12
What is the remainder when 58559 is divided by 2896?
639
Calculate the remainder when 826095 is divided by 160.
15
What is the remainder when 23056 is divided by 10297?
2462
What is the remainder when 260029 is divided by 259304?
725
Calculate the remainder when 9202470 is divided by 244.
10
What is the remainder when 260633 is divided by 2392?
2297
Calculate the remainder when 155771031 is divided by 248.
247
Calculate the remainder when 206996 is divided by 22976.
212
What is the remainder when 421354 is divided by 139?
45
Calculate the remainder when 35608217 is divided by 847814.
29
Calculate the remainder when 673125 is divided by 672848.
277
What is the remainder when 73489012 is divided by 74?
56
Calculate the remainder when 5818137 is divided by 171121.
23
What is the remainder when 14100376 is divided by 46?
42
Calculate the remainder when 9345168 is divided by 1585.
8
What is the remainder when 13099 is divided by 4316?
151
What is the remainder when 232959 is divided by 117?
12
Calculate the remainder when 2770900 is divided by 1885.
1835
Calculate the remainder when 903960 is divided by 3798.
36
What is the remainder when 113240 is divided by 8688?
296
What is the remainder when 26672886 is divided by 21580?
6
What is the remainder when 3454100 is divided by 258?
254
Calculate the remainder when 482579 is divided by 60322.
3
What is the remainder when 61110852 is divided by 1095?
1092
What is the remainder when 1204698 is divided by 70860?
78
What is the remainder when 1480592 is divided by 6247?
53
What is the remainder when 7208692 is divided by 901085?
12
What is the remainder when 670241 is divided by 2121?
5
What is the remainder when 697286877 is divided by 1384?
1381
Calculate the remainder when 24675244 is divided by 5259.
16
Calculate the remainder when 40356099 is divided by 67.
56
Calculate the remainder when 1756782 is divided by 211.
207
What is the remainder when 4793009 is divided by 1763?
1175
What is the remainder when 6902967 is divided by 2300989?
0
Calculate the remainder when 3065750 is divided by 40338.
62
What is the remainder when 831031 is divided by 724?
603
What is the remainder when 91866 is divided by 20?
6
What is the remainder when 3446580 is divided by 5994?
30
Calculate the remainder when 650228 is divided by 650193.
35
Calculate the remainder when 669186 is divided by 2276.
42
What is the remainder when 47485 is divided by 4582?
1665
Calculate the remainder when 40558015 is divided by 111.
58
What is the remainder when 3737680 is divided by 46?
42
What is the remainder when 9167526 is divided by 77?
60
Calculate the remainder when 1863159 is divided by 4647.
4359
What is the remainder when 335698840 is divided by 365685?
10
Calculate the remainder when 1301362 is divided by 1343.
1338
What is the remainder when 62044 is divided by 62032?
12
What is the remainder when 51241 is divided by 1705?
91
Calculate the remainder when 44281372 is divided by 90186.
46
What is the remainder when 1322509 is divided by 1058?
9
Calculate the remainder when 24481691 is divided by 322.
31
What is the remainder when 18534083 is divided by 2066?
2063
What is the remainder when 274076 is divided by 68410?
436
Calculate the remainder when 19306905 is divided by 2188.
2181
What is the remainder when 574585 is divided by 4164?
4117
What is the remainder when 81930206 is divided by 6?
2
What is the remainder when 3393680 is divided by 1175?
280
What is the remainder when 6229846 is divided by 84187?
8
What is the remainder when 2624531 is divided by 77192?
3
Calculate the remainder when 63516 is divided by 2570.
1836
Calculate the remainder when 10790605 is divided by 3596860.
25
Calculate the remainder when 7144647 is divided by 2749.
2745
Calculate the remainder when 421491 is divided by 105232.
563
What is the remainder when 3298422 is divided by 1320?
1062
Calculate the remainder when 11106997 is divided by 3702321.
34
What is the remainder when 1843756 is divided by 80?
76
What is the remainder when 80427 is divided by 209?
171
What is the remainder when 1834369 is divided by 32750?
369
What is the remainder when 1712694 is divided by 570065?
2499
What is the remainder when 157767 is divided by 22499?
274
Calculate the remainder when 383560 is divided by 95819.
284
Calculate the remainder when 15777227 is divided by 1799.
1796
What is the remainder when 3392639 is divided by 384?
383
Calculate the remainder when 42646234 is divided by 10661555.
14
What is the remainder when 1123921 is divided by 1507?
1206
Calculate the remainder when 622924 is divided by 2472.
2452
Calculate the remainder when 4 | {
"pile_set_name": "DM Mathematics"
} |
)/9
Suppose 0 = -4*k + 4*o + 36 + 8, 2*k - 10 = -o. What is v in -43 + k*v - v**2 + 9*v - 21 = 0?
8
Let h(x) = -7*x**5 - 8*x**4 + 9*x**3 + 8*x**2 + 4*x - 6. Let d(r) = 6*r**5 + 7*r**4 - 8*r**3 - 8*r**2 - 4*r + 5. Let z(u) = -6*d(u) - 5*h(u). Factor z(l).
-l*(l - 2)*(l + 1)**2*(l + 2)
Let t = -36 + 51. What is i in -4*i**2 + 10*i**3 + t*i**2 + 23*i - 5*i + 13*i**2 + 4 = 0?
-1, -2/5
Suppose -5*v = 5*c - 25, 2*c + 15 = -0*c + 3*v. Suppose -4*b + 5*o + 52 = 3*o, -5*o - 20 = c. Factor 2*y**4 + 2*y**4 - b*y**2 + 15*y**2 + y + y**5 + 6*y**3.
y*(y + 1)**4
Factor 0 + 1/7*v**4 + 0*v**3 - 16/7*v - 12/7*v**2.
v*(v - 4)*(v + 2)**2/7
Let -6*a**4 + 80*a - 90*a**2 + a**4 - 25 - a**3 + 41*a**3 = 0. Calculate a.
1, 5
Factor -6 + 18*r - 3/2*r**4 - 39/2*r**2 + 9*r**3.
-3*(r - 2)**2*(r - 1)**2/2
Let m(g) be the third derivative of -2*g**7/105 - 11*g**6/30 + 9*g**5/5 + 11*g**4/6 - 52*g**3/3 + 22*g**2 + 2. Let m(j) = 0. What is j?
-13, -1, 1, 2
Let j(t) be the third derivative of t**6/60 + 2*t**5/15 + 5*t**4/12 + 2*t**3/3 + t**2 - 32*t. Solve j(h) = 0.
-2, -1
Let w(p) be the first derivative of 3*p**5/10 - 7*p**4/8 - p**3 - 77. Factor w(l).
l**2*(l - 3)*(3*l + 2)/2
Let k(l) = 7*l**3 - 204*l**2 + 3468*l + 12. Let i(h) = 6*h**3 - 204*h**2 + 3468*h + 9. Let z(g) = -4*i(g) + 3*k(g). Determine x, given that z(x) = 0.
0, 34
Let h(p) be the third derivative of -p**8/70560 - p**7/17640 - 13*p**5/60 + 9*p**2. Let f(n) be the third derivative of h(n). Factor f(k).
-2*k*(k + 1)/7
Let m be 189930/65520 - 1/24. Factor -4*o**2 + m + 2*o - 6/7*o**3.
-2*(o - 1)*(o + 5)*(3*o + 2)/7
Let n(y) = y**2 - 1. Let d(v) = -4*v**2 + 28*v + 104. Let k(c) = -d(c) - 6*n(c). Solve k(s) = 0 for s.
-7
Factor 12/5*l**2 + 21/5*l + 1/5*l**3 + 2.
(l + 1)**2*(l + 10)/5
Suppose -5*m + 2 = -8. Solve 3*g**2 - 5*g - 4*g + 0*g**m + 6 = 0.
1, 2
Let r(t) = -t**3 + 7*t**2 + 3. Let u be 5 - (9 - (-8)/(-4)). Let z(f) = -1. Let q(o) = u*r(o) - 6*z(o). Suppose q(j) = 0. Calculate j.
0, 7
Let u = 53 + -49. Factor 262*q**2 + q**5 - 252*q**2 + u*q**5 - 5*q - 10*q**4.
5*q*(q - 1)**3*(q + 1)
Let n(u) be the first derivative of -5*u**9/4536 - u**8/360 - u**7/630 + 8*u**3/3 + 3. Let k(a) be the third derivative of n(a). Factor k(r).
-2*r**3*(r + 1)*(5*r + 2)/3
Let f(o) = -10*o**2 - 674*o - 28912. Let q(w) = w**2 - w + 2. Let x(h) = -f(h) - 6*q(h). Let x(t) = 0. What is t?
-85
Let o(g) = -g**4 + g**3 + g**2 + g - 1. Let b(j) = -10*j**4 + 8*j**3 + 10*j**2 + 16*j - 12. Let f(i) = -b(i) + 12*o(i). Let f(y) = 0. What is y?
-1, 0, 1, 2
Let s(g) = 5*g - 2. Let h be s(1). Suppose -3*k + 17 = -4*m, 4*k + 2*m + h = 11. Solve 0 - 2/11*d**k - 4/11*d - 6/11*d**2 = 0 for d.
-2, -1, 0
Let x(t) be the second derivative of 0 + 3/16*t**4 - 3/8*t**2 - 36*t - 1/4*t**3. Factor x(q).
3*(q - 1)*(3*q + 1)/4
Let d be 7 - (-6 + 483/35) - 161/(-70). Find a such that -1/2*a - 3/2 + d*a**2 + 1/2*a**3 = 0.
-3, -1, 1
Let d = 28 - 19. Factor 0*a**2 + a - 2*a**2 + 0*a + d*a + 12.
-2*(a - 6)*(a + 1)
Suppose -4*h + 6 = 3*x - 14, 4*h - x - 4 = 0. Suppose v - v**h - 2226 + 2226 = 0. What is v?
0, 1
Suppose 2*o - 6 = 3*q - 22, 0 = -2*q - 2*o - 6. Let 15*t + 7 + 5*t - q + 20*t**2 = 0. What is t?
-1/2
Let i(d) be the second derivative of -d**6/90 + 11*d**5/20 + 143*d**4/36 + 61*d**3/6 + 37*d**2/3 + 353*d. Factor i(n).
-(n - 37)*(n + 1)**2*(n + 2)/3
Let l(c) be the third derivative of -c**5/20 - 13*c**4/4 - 25*c**3/2 - 394*c**2. Solve l(f) = 0 for f.
-25, -1
Let d be 14/(1 - (-24)/(-14)). Let c = 20 + d. Let -c*a + 0 + 1/5*a**2 = 0. What is a?
0, 2
Determine s so that 24/7*s**3 + 0 + 30/7*s**2 + 6/7*s**4 + 12/7*s = 0.
-2, -1, 0
Let b(r) be the second derivative of -r**5/5 + r**4 + 8*r**3/3 - r - 22. Let b(c) = 0. Calculate c.
-1, 0, 4
Factor -7 - 130*b + 8*b - 5*b**2 + 7 - 93*b.
-5*b*(b + 43)
Let k(y) be the third derivative of -y**5/24 + 125*y**4/4 - 9375*y**3 + 126*y**2. Find u, given that k(u) = 0.
150
Let o(w) be the second derivative of w**4/6 - 4*w**3 + 2*w - 93. Factor o(z).
2*z*(z - 12)
Factor -1/5*p**4 + p**3 - 32/5 - 32/5*p + 6/5*p**2.
-(p - 4)**2*(p + 1)*(p + 2)/5
Suppose 0 = v + v - 6. Let n be v/(-2) - (-4 + 4) - -2. Suppose u**4 - u**2 + 1/2*u**5 + 0 - n*u + 0*u**3 = 0. What is u?
-1, 0, 1
Let o(u) be the first derivative of -8 + 0*u**3 - 2/95*u**5 + 2/19*u + 2/19*u**2 - 1/19*u**4. Let o(p) = 0. Calculate p.
-1, 1
Let c(u) be the third derivative of 3/2*u**3 - 1/40*u**5 + 19*u**2 - 1/16*u**4 + 0 + 0*u. Factor c(h).
-3*(h - 2)*(h + 3)/2
Let g be (3 + 0 + -2)/((-20)/(-16)). Suppose 2/5*v**4 - 24/5*v + 18/5 - g*v**2 + 8/5*v**3 = 0. What is v?
-3, 1
Let f(d) = -5*d**4 + 83*d**3 + 462*d**2 - 576*d. Let y(a) = -a**4 + 21*a**3 + 116*a**2 - 144*a. Let p(m) = 2*f(m) - 9*y(m). Let p(q) = 0. What is q?
-12, 0, 1
Let t be 371/28 - (-9)/(-24)*-2. Suppose 6*o = -o + t. Factor 2/3*p + 1/3*p**4 - 1/3 - 2/3*p**3 + 0*p**o.
(p - 1)**3*(p + 1)/3
Let g(r) be the first derivative of 5*r**3/6 + 25*r**2/4 - 35*r + 262. Find s, given that g(s) = 0.
-7, 2
Let u(f) be the second derivative of f**5/40 + f**4/8 + f**3/4 + f**2/4 + f + 6. Factor u(z).
(z + 1)**3/2
Let g(b) be the second derivative of -1849*b**4/24 - 43*b**3/6 - b**2/4 + 34*b. Factor g(j).
-(43*j + 1)**2/2
Let v = -19/3 - -104/15. Let p = 100 + -98. Factor -6/5*q + 3/5 + v*q**p.
3*(q - 1)**2/5
Suppose 16 = j + 5*z, -2*j = -0*j + 3*z - 67. Factor k**5 - 38*k**4 + j*k**4 + k**2 + k**3 + 2*k**3.
k**2*(k + 1)**3
Let c(o) be the first derivative of -3/4*o**4 + 3*o**2 + 6 + 0*o + o**3. Solve c(z) = 0.
-1, 0, 2
Suppose -35 = -4*n - q, 2*q - 5 = 3*q. Let s be ((-4)/(-7))/(n/35). Factor -2/7 - 2/7*l + 2/7*l**3 + 2/7*l**s.
2*(l - 1)*(l + 1)**2/7
Let y = -946 - -948. Let a(d) be the second derivative of -4*d**y - 2*d**3 + 1/5*d**5 - 2*d + 0*d**4 + 0. Find t, given that a(t) = 0.
-1, 2
Let 10*h - 1/3*h**2 + 64/3 = 0. Calculate h.
-2, 32
Let z(u) be the second derivative of 1/72*u**4 + 1/9*u**3 - 6*u + 0 + 1/3*u**2. Factor z(j).
(j + 2)**2/6
Let d = -2723 + 8257/3. Factor -d*z**2 - 8/3*z - 322/3*z**3 - 392/3*z**4 + 0.
-2*z*(4*z + 1)*(7*z + 2)**2/3
Let b(f) = 4*f**2 - 198*f - 516. Let w be b(52). Factor 0*k - 5*k**3 - 5/2*k**5 + 0 - 15/2*k**w + 0*k**2.
-5*k**3*(k + 1)*(k + 2)/2
Let q be (20/(-6))/((-2)/3). Suppose -4*o - 2*s + 16 = 0, 20 = q*o - 3*s - 0*s. Factor 5*z**3 + z - 15*z**2 - 4*z**o + z**5 + 11*z**2 + z**3.
z*(z - 1)**4
Let t be ((-25)/(-5))/(-15) + 1. Determine u, given that 0*u**2 + 0 + 0*u + 2/3*u**5 - t*u**3 + 0*u**4 = 0.
-1, 0, 1
Let h(f) be the third derivative of f**5/48 - 125*f**4/48 + 3125*f**3/24 - f**2 - 91. Suppose h(p) = 0. Calculate p.
25
Let g(c) be the first derivative of -98/15*c**5 + 161/6*c**4 + 16/7*c - 92/21*c**2 - 76/9*c**3 + 30. Determine r, given that g(r) = 0.
-2/7, 2/7, 3
Let j(v) = 4*v**3 + 129*v**2 - 241*v - 78. Let o be j(-34). What is f in -64 - 1/8*f**3 - 3*f**2 - o*f = 0?
-8
Let d(n) be the second derivative of 0 - 38*n + 0*n**2 - 1/90*n**6 + 4/9*n**3 + 1/9*n**4 + 1/126*n**7 - 1/10*n**5. Factor d(t).
t*(t - 2)**2*(t + 1)*(t + 2)/3
Let u(h) = -h**4 - 5*h**3 - 9*h**2 - 11*h - 2. Let m(s) = s**4 + 5*s**3 + 9*s**2 + 12*s + 2. Let o(w) = -4*m(w) - 5*u(w). Determine t, given that o(t) = 0.
-2, -1
Let r be (-1)/((-9)/(-18))*(-3)/30. Factor 2*u**4 - 36/5*u - r*u**5 - 13/5*u**3 - 12*u**2 + 0.
-u*(u - 6)**2*(u + 1)**2/5
Let q(o) = -3*o + 13 - o**2 - 2*o + 15*o - o. Let f be q(9). Factor 5 - f*b - 1 + 11 - 5*b**2 + 23*b.
-5*(b - 3)*(b + 1)
Let v be -1 + 2 + -1 + 8. Determine s, given that -s + 124*s**4 - 2*s**2 + s - 132*s**4 + v*s**3 = 0.
0, 1/2
Let x(l) be the second derivative of -l**6/150 - l**5/60 + l**4/20 + 29*l**2/2 - 24*l. Let z(d) be the first derivative of x(d). Factor z(s).
-s*(s + 2)*(4*s - 3)/5
Let x(r) = 0*r**2 + r**3 + 7*r**2 + 4*r + 14 - 2*r**2 - 5. Let g be x(-4). Suppose g*v - 2*v + 8*v**2 - 5*v = 0. Calculate v.
-1/4, 0
Let l(n) be the first derivative of -3*n**5 - 5*n**4/4 + 20*n**3 + 10*n**2 + 88. Determine o so that l(o) = 0.
-2, -1/3, 0, 2
Let p(b) be the first derivative of -49*b**4/10 + 14*b**3 + 117*b**2/5 + 54*b/5 + 32. Factor p(o).
-2*(o - 3)*(7*o + 3)**2/5
Suppose 231/2*l - 357/4*l**2 - 3*l**3 - 93/4 = 0. What is l?
-31, 1/4, 1
Let d(n) be the third derivative of 100*n**5/3 - 25*n**4/3 + 5*n**3/6 + 149*n**2. Factor d(i).
5*(20*i - 1)**2
Let t(v) be the second d | {
"pile_set_name": "DM Mathematics"
} |
he prime factors of 38323.
19, 2017
List the prime factors of 74141.
151, 491
List the prime factors of 3216.
2, 3, 67
List the prime factors of 2688.
2, 3, 7
What are the prime factors of 1642?
2, 821
What are the prime factors of 14578?
2, 37, 197
List the prime factors of 3582.
2, 3, 199
What are the prime factors of 3595?
5, 719
List the prime factors of 655.
5, 131
List the prime factors of 37075.
5, 1483
List the prime factors of 43877.
17, 29, 89
What are the prime factors of 8263?
8263
What are the prime factors of 3404?
2, 23, 37
List the prime factors of 56692.
2, 14173
List the prime factors of 20681.
20681
What are the prime factors of 2006?
2, 17, 59
List the prime factors of 7509.
3, 2503
List the prime factors of 85669.
85669
What are the prime factors of 10835?
5, 11, 197
What are the prime factors of 18908?
2, 29, 163
List the prime factors of 20765.
5, 4153
What are the prime factors of 1371?
3, 457
What are the prime factors of 291?
3, 97
List the prime factors of 28930.
2, 5, 11, 263
List the prime factors of 5679.
3, 631
List the prime factors of 16510.
2, 5, 13, 127
What are the prime factors of 664?
2, 83
List the prime factors of 24487.
47, 521
List the prime factors of 270.
2, 3, 5
What are the prime factors of 7079?
7079
List the prime factors of 386.
2, 193
List the prime factors of 1072.
2, 67
What are the prime factors of 165938?
2, 29, 2861
What are the prime factors of 55732?
2, 13933
List the prime factors of 3759.
3, 7, 179
What are the prime factors of 5223?
3, 1741
What are the prime factors of 17586?
2, 3, 977
List the prime factors of 5175.
3, 5, 23
What are the prime factors of 1065?
3, 5, 71
What are the prime factors of 10224?
2, 3, 71
List the prime factors of 915.
3, 5, 61
List the prime factors of 300.
2, 3, 5
What are the prime factors of 2891?
7, 59
List the prime factors of 1369.
37
List the prime factors of 13149.
3, 487
List the prime factors of 250.
2, 5
List the prime factors of 61547.
61547
List the prime factors of 48863.
131, 373
What are the prime factors of 1260?
2, 3, 5, 7
What are the prime factors of 3445?
5, 13, 53
What are the prime factors of 63298?
2, 31649
List the prime factors of 71542.
2, 35771
List the prime factors of 12121.
17, 23, 31
What are the prime factors of 687?
3, 229
What are the prime factors of 72103?
72103
List the prime factors of 64858.
2, 32429
List the prime factors of 730.
2, 5, 73
What are the prime factors of 1493?
1493
What are the prime factors of 3700?
2, 5, 37
What are the prime factors of 4220?
2, 5, 211
What are the prime factors of 2072?
2, 7, 37
What are the prime factors of 9962?
2, 17, 293
List the prime factors of 1665.
3, 5, 37
What are the prime factors of 3707?
11, 337
List the prime factors of 1536.
2, 3
List the prime factors of 1545.
3, 5, 103
What are the prime factors of 3472?
2, 7, 31
List the prime factors of 25494.
2, 3, 7, 607
What are the prime factors of 5294?
2, 2647
List the prime factors of 69436.
2, 17359
What are the prime factors of 40949?
40949
List the prime factors of 847.
7, 11
What are the prime factors of 862?
2, 431
What are the prime factors of 6712?
2, 839
List the prime factors of 8010.
2, 3, 5, 89
What are the prime factors of 2376?
2, 3, 11
What are the prime factors of 51478?
2, 7, 3677
What are the prime factors of 3546?
2, 3, 197
What are the prime factors of 69615?
3, 5, 7, 13, 17
What are the prime factors of 1347?
3, 449
What are the prime factors of 910?
2, 5, 7, 13
List the prime factors of 1692.
2, 3, 47
List the prime factors of 102641.
7, 11, 31, 43
List the prime factors of 19214.
2, 13, 739
What are the prime factors of 1098?
2, 3, 61
List the prime factors of 56723.
131, 433
List the prime factors of 59369.
59369
List the prime factors of 4383.
3, 487
List the prime factors of 443.
443
List the prime factors of 1310.
2, 5, 131
List the prime factors of 2387.
7, 11, 31
What are the prime factors of 21532?
2, 7, 769
List the prime factors of 93166.
2, 37, 1259
List the prime factors of 36474.
2, 3, 6079
List the prime factors of 6358.
2, 11, 17
What are the prime factors of 805?
5, 7, 23
List the prime factors of 80481.
3, 139, 193
List the prime factors of 1349.
19, 71
List the prime factors of 10115.
5, 7, 17
What are the prime factors of 38883?
3, 13, 997
List the prime factors of 652.
2, 163
List the prime factors of 5624.
2, 19, 37
List the prime factors of 2199.
3, 733
What are the prime factors of 42425?
5, 1697
What are the prime factors of 8174?
2, 61, 67
What are the prime factors of 54842?
2, 17, 1613
List the prime factors of 31306.
2, 11, 1423
What are the prime factors of 438?
2, 3, 73
List the prime factors of 2525.
5, 101
What are the prime factors of 933?
3, 311
List the prime factors of 6600.
2, 3, 5, 11
What are the prime factors of 26697?
3, 11, 809
What are the prime factors of 3894?
2, 3, 11, 59
What are the prime factors of 430?
2, 5, 43
What are the prime factors of 4550?
2, 5, 7, 13
List the prime factors of 4039.
7, 577
List the prime factors of 4075.
5, 163
List the prime factors of 470.
2, 5, 47
What are the prime factors of 3183?
3, 1061
What are the prime factors of 14313?
3, 13, 367
What are the prime factors of 107176?
2, 13397
List the prime factors of 6687.
3, 743
What are the prime factors of 143?
11, 13
List the prime factors of 7127.
7127
List the prime factors of 55525.
5, 2221
List the prime factors of 1791.
3, 199
What are the prime factors of 53598?
2, 3, 8933
What are the prime factors of 527?
17, 31
What are the prime factors of 1980?
2, 3, 5, 11
List the prime factors of 2716.
2, 7, 97
List the prime factors of 4183.
47, 89
List the prime factors of 804.
2, 3, 67
List the prime factors of 1232.
2, 7, 11
What are the prime factors of 639?
3, 71
List the prime factors of 132035.
5, 26407
What are the prime factors of 69732?
2, 3, 13, 149
What are the prime factors of 10763?
47, 229
List the prime factors of 24828.
2, 3, 2069
What are the prime factors of 26283?
3, 8761
List the prime factors of 792.
2, 3, 11
What are the prime factors of 10488?
2, 3, 19, 23
List the prime factors of 4788.
2, 3, 7, 19
What are the prime factors of 13577?
13577
What are the prime factors of 54986?
2, 19, 1447
List the prime factors of 30273.
3, 10091
What are the prime factors of 1096?
2, 137
List the prime factors of 103.
103
What are the prime factors of 13371?
3, 4457
List the prime factors of 109383.
3, 19, 101
What are the prime factors of 25831?
13, 1987
List the prime factors of 8181.
3, 101
List the prime factors of 40665.
3, 5, 2711
What are the prime factors of 10117?
67, 151
List the prime factors of 173.
173
What are the prime factors of 161?
7, 23
What are the prime factors of 5292?
2, 3, 7
What are the prime factors of 7485?
3, 5, 499
What are the prime factors of 43452?
2, 3, 17, 71
List the prime factors of 1998.
2, 3, 37
What are the prime factors of 4487?
7, 641
List the prime factors of 801.
3, 89
List the prime factors of 71343.
3, 7927
List the prime factors of 1330.
2, 5, 7, 19
List the prime factors of 14119.
7, 2017
List the prime factors of 30051.
3, 7, 53
List the prime factors of 1895.
5, 379
What are the prime factors of 12305?
5, 23, 107
List the prime factors of 261.
3, 29
What are the prime factors of 1023?
3, 11, 31
What are the prime factors of 589?
19, 31
What are the prime factors of 1602?
2, 3, 89
List the prime factors of 84793.
84793
What are the prime factors of 117?
3, 13
List the prime factors of 17093.
17093
List the prime factors of 720.
2, 3, 5
What are the prime factors of 26014?
2, 13007
List the prime factors of 2403.
3, 89
List the prime factors of 34819.
34819
List the prime factors of 1106.
2, 7, 79
List the prime factors of 1334.
2, 23, 29
List the prime factors of 62217.
3, 31, 223
List the prime factors of 53579.
131, 409
What are the prime factors of 15705?
3, 5, 349
List the prime factors of 25995.
3, 5, 1733
List the prime factors of 23097.
3, 7699
What are the prime factors of 25933?
25933
What are the prime factors of 60446?
2, 30223
List the prime factors of 173010.
2, 3, 5, 73, 79
What are the prime factors of 52344?
2, 3, 727
List the prime factors of 2893.
11, 263
What are the prime factors of 6808?
2, 23, 37
List | {
"pile_set_name": "DM Mathematics"
} |
i(l). Let u(h) be the first derivative of -5*h**2/2 + 2*h + 1. What is -3*t(z) + 7*u(z)?
-5*z + 2
Let n(u) = 74885*u + 509218. Let f(s) = -2*s - 17. Give -29954*f(j) - n(j).
-14977*j
Let d(m) = -5*m**2 + 56*m - 16. Let i(f) = 11*f**2 - 111*f + 34. Give -13*d(a) - 6*i(a).
-a**2 - 62*a + 4
Let q(g) = 13*g**2 + g - 1. Let i(d) = 82*d**2 + 22*d - 44. Determine i(a) - 6*q(a).
4*a**2 + 16*a - 38
Let c(t) = t + 0*t + t + 1. Let m(p) = -4*p - 2. Let k = 349 - 334. Suppose 0 = 11*u - k - 62. Determine u*c(w) + 3*m(w).
2*w + 1
Let w(i) = 983*i**2 - i - 2. Let b(q) = -1973*q**2 + 2*q + 3. Calculate -4*b(m) - 7*w(m).
1011*m**2 - m + 2
Let z(u) = 3*u**2 - 4*u - 2*u**2 + 0*u. Let v be (6/(-10))/(450/(-1500)). Let g(j) = j**2 - 2*j. What is v*z(p) - 5*g(p)?
-3*p**2 + 2*p
Let v(f) = -f - 6. Let w(o) = 23*o + 2. Let x(p) = -93*p - 13. Let y(s) = 4*w(s) + x(s). Give -4*v(h) + 5*y(h).
-h - 1
Let j(t) = 4*t**2 + 4*t + 4. Let v be 32/4 - 16 - -3*4. Let u(a) = -a**3 - 3*a**2 - 3*a - 3. Calculate v*u(r) + 3*j(r).
-4*r**3
Suppose 7*n = 626 - 577. Let w(q) be the first derivative of 8*q**3/3 - 7*q**2/2 + 11*q + 11. Let k(p) = -4*p**2 + 3*p - 5. Give n*k(y) + 3*w(y).
-4*y**2 - 2
Let u(t) = -13*t**2 + 3. Let h(o) = 220*o**2 - 50. Let d = 43 + 7. Determine d*u(k) + 3*h(k).
10*k**2
Let b(z) = 159*z - 36. Let d(w) = -160*w + 25. Determine -3*b(y) - 4*d(y).
163*y + 8
Let u(q) be the first derivative of -q**2/2 - 4*q + 173. Let v(s) = 10*s - 2*s - 11 - 10*s. Calculate -11*u(b) + 4*v(b).
3*b
Suppose d = -5*x + 35, 1157*x = 1156*x - 2*d + 7. Let m(o) = -6*o**2 - o. Let f(l) = 12*l**2 + 2*l. What is x*m(y) + 4*f(y)?
6*y**2 + y
Let z(a) = -a**2 - 6*a - 5. Let y = -418 + 362. Let v = -64 - y. Let f(u) = 2*u + 2. Let r(t) = -t**2 + 6*t - 3. Let b be r(6). Determine b*z(o) + v*f(o).
3*o**2 + 2*o - 1
Let t be 29/(5 + (-126)/24). Let s = -120 - t. Let f(i) = 4*i**3 + 5*i**2 + 8*i + 6. Let o(w) = 3*w**3 + 4*w**2 + 7*w + 5. Determine s*f(x) + 5*o(x).
-x**3 + 3*x + 1
Let b(n) = -33*n + 1782. Let i(j) = -53*j + 2674. What is 8*b(g) - 5*i(g)?
g + 886
Let i(j) = -j + 6. Let m(a) = -a - 1. Let c = -564 - -558. Let t be -6 + 13 + (0 - 0) + c. What is t*i(f) - 2*m(f)?
f + 8
Let k(q) = 5*q - 1. Let x be k(-3). Let v = x + 27. Let p(r) = 7*r - 11. Let t(d) be the second derivative of 2*d**3/3 - 3*d**2 + 740*d. Give v*t(y) - 6*p(y).
2*y
Let w = 2875 + -2860. Let d(x) be the first derivative of 3*x + 0*x**2 - w + 7/3*x**3. Let f(b) = -76*b**2 - 32. Determine 32*d(m) + 3*f(m).
-4*m**2
Let o(i) = -2*i - i + 2 + 3. Let s(h) = -2*h + 5. Suppose 0 = 58*j - 1403 + 1635. Give j*s(k) + 3*o(k).
-k - 5
Let u(v) be the second derivative of -v**2/2 + 215*v. Let n(y) = 12*y**3 + 24. Let d be ((-1)/(-1))/(4 - 1 - 4). Determine d*n(o) - 24*u(o).
-12*o**3
Let y(p) = 268*p**3 + 3*p**2 - 2*p + 1. Let g(s) = -1069*s**3 - 13*s**2 + 9*s - 4. Give -2*g(m) - 9*y(m).
-274*m**3 - m**2 - 1
Let u(k) = 5*k**3 + 418 - 1085 - 6*k**2 + 653. Let v(l) = 14*l**3 - 17*l**2 - 41. Give 17*u(d) - 6*v(d).
d**3 + 8
Let s(x) = -12*x + 2. Let c(y) = 22*y - 5. Let b(i) = -c(i) - 2*s(i). Let d(m) = 1. Determine -b(a) + 4*d(a).
-2*a + 3
Let g(f) = -3*f + 15. Suppose k = 4*v + 47, -3*k + 8*k + 95 = -10*v. Let h(o) = -16*o + 75. Determine v*g(i) + 2*h(i).
i - 15
Let f(h) = -31*h**3 + 5*h**2 - 14442*h - 22. Let g(t) = 13*t**3 - 2*t**2 + 5777*t + 9. Determine 5*f(v) + 12*g(v).
v**3 + v**2 - 2886*v - 2
Let i be (-4)/3 - ((-242)/6 + 3). Let v(l) = -i - l - 43 - 42 + 120. Let k be (-33)/(-9) - (-2)/(-3). Let a(b) = 4*b + 4. What is k*a(x) + 10*v(x)?
2*x + 2
Let d(n) = 14*n**2 + 6*n. Let c(w) = 14*w**2 + 5*w. Let q(r) = 6*c(r) - 5*d(r). Let u(v) = -14*v**2. Determine -2*q(j) - 3*u(j).
14*j**2
Let m(i) be the second derivative of -5*i**3/6 + 3*i**2/2 - 4*i. Let n(c) = 6 + 6*c + 16 + 7 - 33. Let t(x) = -3*x - 12. Let d be t(-5). Give d*m(z) + 2*n(z).
-3*z + 1
Let a = -516 + 508. Let q = -13 + 16. Let o(v) = 2*v - 6. Let u(h) = 6*h - 17. Calculate a*o(t) + q*u(t).
2*t - 3
Let v(y) = 96*y. Let j(h) = 3*h + 7. Let u(z) = -13*z - 28. Let f(w) = -4*j(w) - u(w). What is -144*f(l) + 2*v(l)?
48*l
Let w(d) = -d**3 + d**2 - 1. Let p(n) be the first derivative of -7*n**4/4 + 8*n**3/3 - 6*n - 619. Calculate p(b) - 6*w(b).
-b**3 + 2*b**2
Let j(i) = 5*i**3 + i**2 - 12*i - 17. Let x(t) = 6*t**3 - 14*t - 18. Give -7*j(q) + 6*x(q).
q**3 - 7*q**2 + 11
Let o(b) = 6*b - 1. Let q(p) = 8*p - 5. Let a(f) = f - 2. Suppose 0 = -7*t + 3*t + 4. Let w(z) = t*q(z) - 2*a(z). Determine -3*o(v) + 2*w(v).
-6*v + 1
Let u be (-2)/(7/(-5) - -1). Let s(t) = 4*t - 5. Let m(j) = 3*j - 4. Let b be (-47)/((-8460)/40)*-18. What is b*s(f) + u*m(f)?
-f
Let t(s) = -14349*s - 5. Let g(f) = -141366293*f - 49259. Determine 5*g(x) - 49259*t(x).
-14074*x
Suppose -2*q - 2*a - 12 = 0, -4*a - 22 = 6*q - q. Let h(k) = -k**2. Let n(w) = 9*w**3 - 9*w**2. Calculate q*n(i) - 18*h(i).
18*i**3
Let y(p) be the first derivative of -31*p**2/2 + 6*p + 2241. Let s(z) = 30*z - 5. What is -5*s(q) - 4*y(q)?
-26*q + 1
Let u(d) = 885*d**3 - 6*d**2 - 5. Let h(a) = 1771*a**3 - 13*a**2 - 11. Calculate 6*h(g) - 13*u(g).
-879*g**3 - 1
Let k(b) = -5*b**3 + 12*b + 11. Let c(t) = -t**3 + 130*t + 260. Let p be c(-2). Let w(f) = -2*f**3 + 4*f + 4. Give p*w(y) - 3*k(y).
-y**3 - 4*y - 1
Let v = -1300 + 1304. Let t(g) = 8*g. Let p(b) = 4*b. Let d(s) = -16*s. Let y(u) = 6*d(u) + 26*p(u). Calculate v*t(m) - 3*y(m).
8*m
Let j(x) = 13*x**3 + 6*x**2 - 5*x - 7. Let l(p) = -24*p**3 - 11*p**2 + 12*p + 15. Determine -11*j(u) - 6*l(u).
u**3 - 17*u - 13
Let g(u) = 41*u - 3. Let o(b) = 27*b - 2. Calculate -5*g(v) + 7*o(v).
-16*v + 1
Let z(j) = -78*j - 465. Let x(k) = -176*k - 929. Give -4*x(h) + 9*z(h).
2*h - 469
Let j(d) = 1. Let o be 189/77 - 6/(-11). Let u(x) = o*x + 559 - 555 - 2*x + x. Give -5*j(h) + u(h).
2*h - 1
Let c(p) = 12*p + 9. Let u(a) = -3*a - 2. Suppose -2 = 5*v - 7, 4*f - 4*v = 8. Let w be ((-9)/6)/((-3)/24). Let r be 15/(-18)*f*w/(-15). Give r*c(g) + 9*u(g).
-3*g
Let s(a) = 2*a - a**2 - a**2 + 0 + 1. Suppose -11 = -n - 17. Let j(x) = -x**2 + x + 1. Give n*j(l) + 4*s(l).
-2*l**2 + 2*l - 2
Let u(g) = 1. Let v(p) = 1230*p - 210. Calculate -420*u(y) - 2*v(y).
-2460*y
Let p(o) = -o**2 + 1. Let c(x) = 15*x**2 + 12. Suppose 0 = 3*b + 2*w + 9, -b - 2*w + 164 = 171. Give b*c(q) + 12*p(q).
-27*q**2
Let f be ((-2)/(-3))/(8/12). Let j(g) = 41*g + 313. Let y be j(-8). Let x(a) = 12*a - 15. Let l(b) = b - 1. Determine f*x(t) + y*l(t).
-3*t
Suppose -4*x + 811 = 5*q, -10*x + 13*x + 3 = 0. Let l = -161 + q. Let n(d) = 4*d**3 - d**2 - 9*d. Let c(i) = -i**3 + 2*i. Give l*n(m) + 9*c(m).
-m**3 - 2*m**2
Let x(n) = 3*n**2 + 3*n - 3. Let c = 149 - 148. Let o(d) = 1242*d - 2484*d + c + 1241*d. What is 3*o(y) + x(y)?
3*y**2
Let b(o) = -12*o**3 - 2. Let q(r) = -455*r**3 - 77. Let j be ((-7)/2)/(17 - (-7087)/(-418)). Calculate j*b(i) + 2*q(i).
14*i**3
Let j(f) = 16*f**2. Let s(w) = 3*w**3 + 126*w**2 + 2*w + 1. Calculate -4*j(h) + s(h).
3*h**3 + 62*h**2 + 2*h + 1
Let j(o) = -17*o**2 + 5*o + 7. Let g(x) = 80*x**2 - 21*x - 28. Give 2*g(s) + 9*j(s).
7*s**2 + 3*s + 7
Let m(r) = r**2 + 3*r. Let j(f) = 5*f**2 + 10*f + 61. Determine j(c) - 3*m(c).
2*c**2 + c + 61
Let b(y) = 9*y**2 + 9*y - 9. Let s(h) = 4*h - 1. Let o be s(-2). Let f(j) = j + 48 + 33 - 5*j - 116 - 5*j**2 + 39. Calculate o*f(c) - 4*b(c).
9*c**2
Let a(w) = 4*w**2 + 4*w - 7. Suppose 13*n = 42 + 62. Let y(t) = 279*t - 5*t**2 + 286*t + n - 570*t. What is -3*a(p) - 2*y(p)?
-2*p**2 - 2*p + 5
Let p(r) = -6443*r**2 + 10*r - 5. Let i(w) = -1388464*w**2 + 2156*w - 1078. Give -5*i(m) + 1078*p(m).
-3234*m**2
Let f(w) = 2*w**3 - 2*w**2 - 5. Let j be (1/(-4))/(((-18)/8)/9). Let d(h) = 1. Let v = 54 - 48. Give j*f(c) + v*d(c).
2*c**3 - 2*c**2 + 1
Let q(j) = 40*j**3 - 100*j**2 + 100*j - 100. Let m(w) = -w**2 + w - 1. Suppose -163*i + 2500 = -336*i + 148*i. What is i*m(u) + q(u)?
40*u**3
Let x be -2 - -7 - (2 - (0 + 0)). Let v(j) be the second derivative of 2*j**3/3 + 7*j**2/2 + 26*j. Let y(i) = i + 1. What is x*y(u) - v(u)?
-u - 4
Let g(j) = 10*j**3 + 26*j**2 - j + 6. Let r(t) = 4*t**2 - t + 1. Give -g(h) + 6*r(h).
-10*h**3 - 2*h**2 - 5*h
Let f(a) = -2*a. Let w(p) = 3*p**2 - 42*p. Let d be 105*7/63*162/45. What is d*f(k) - 2*w(k)?
-6*k**2
Let y(f) = -12194*f**2 + 546*f. Let v(j) = 271*j**2 - 12*j. Determine | {
"pile_set_name": "DM Mathematics"
} |
Is t at most as big as 8/3?
True
Let u = 3 + 3. Let v(d) = -d**3 - 12*d**2 - 11*d + 3. Let b be v(-11). Let s be 21/1*b/9. Is u bigger than s?
False
Let p(c) = -6*c + 78. Let g be p(13). Is 2/535 > g?
True
Let j = -817 - -816. Let g be (-153)/1*(-2)/4. Let a = -78 + g. Is a < j?
True
Let u = 1 + 1.2. Let o = u + -2.2. Suppose -z - 1 = -0*z. Which is bigger: z or o?
o
Let b = 0 + -7. Let k = -8 - b. Let t = -59/2 + 535/18. Is t equal to k?
False
Let l(f) = f**3 - 2*f**2 - 4*f. Let p be l(3). Let g be ((-4)/((-8)/42))/(-1). Let r be (g/9 - 1/(-3))*2. Is p equal to r?
False
Let m be (0/(-15))/(-1 - (-4)/2). Does m = -14?
False
Suppose 3*o - 5*r + 9 = -25, -5*r + 37 = -4*o. Let a(y) = y**3 + 8*y**2 + 6*y - 9. Let u be 261/(-36) + 1/4. Let w be a(u). Which is smaller: w or o?
o
Let a(o) = o**3 + 10*o**2 + 13*o + 12. Let m be a(-9). Let c be 34/8 - (3 - (-66)/m). Is 1/2 at most as big as c?
True
Let w(t) = 2*t**2 - 12*t - 7. Suppose 26 = 4*a - 4*p + 3*p, 2*a - 4*p - 6 = 0. Let s be w(a). Which is greater: 5 or s?
s
Let h be -3 + (-26)/4*205/(-450). Do h and 0 have the same value?
False
Suppose 446*j - 430*j = -18576. Is j > -1162?
True
Let h(f) = -f**3 + 6*f**2 + 14*f + 3. Let q be h(-2). Let n(t) = t**2 - 5*t + 3. Let r be n(6). Suppose 2*g + q = r*g. Is -2/21 less than g?
True
Let g = 8 - 5. Let c(i) = -2*i - 4. Let r be c(-4). Suppose 5*o - 2*o + r*t = 19, -4*o - 3*t = -23. Is o >= g?
True
Let q(o) = o - 14. Let j be q(7). Let r = -142/5 + 28. Is j greater than or equal to r?
False
Let y = 521 + -523.21. Let g = y - -0.21. Let i = -3.7 - g. Which is smaller: 0 or i?
i
Let d be (-40)/5 + (-165)/(-18). Let x = -12/5 - -2. Are x and d nonequal?
True
Let p be (-162)/378 + 6003/(-7). Which is bigger: p or -857?
-857
Let x(t) = -t**2 - 6*t - 1. Let n(a) = -a - 1. Let g(j) = 3*n(j) - x(j). Let i(f) = -30*f + 145. Let v be i(5). Let m be g(v). Which is smaller: m or 0.1?
0.1
Suppose 2*w + 3*t + 2 = w, -4*t = 4*w + 32. Let x = 26 + w. Let p be -1 - -4 - x/5. Is p less than or equal to -2/77?
False
Let k be (4/(-60))/((-1)/3). Let m = k + 3/35. Let i = -1 - -2. Is m not equal to i?
True
Let v be (7/42*-4)/(1 - -110). Is v less than 1?
True
Let a be (10/(-6))/((-380)/72 + 5). Let i(b) = b**3 + 4*b**2 - 3. Let v be i(-4). Let l be (1 + 2)/3 - v. Which is greater: a or l?
a
Let d(v) = 81*v**2 - 3*v + 4. Let x be d(1). Which is smaller: 81 or x?
81
Let p = 1113 - 1010. Is 106 >= p?
True
Suppose -4*z - 54 = -3*r, -3*z + 5*z = 4*r - 32. Let k be (-1)/3 + (2 - (-10)/z). Are k and 1 unequal?
True
Let a = -7613/4134 - -43/106. Let f = a - -4/39. Which is greater: f or -1?
-1
Let j(h) = -h**2 + 10*h + 39. Let k be j(13). Which is smaller: -22 or k?
-22
Let m(o) be the third derivative of -o**4/24 + 5*o**3/6 - 2*o**2. Let t be m(8). Let r be 1 - (3 + t/1). Which is greater: 0 or r?
r
Let x = 695 + -734. Is x >= -1/4?
False
Suppose 290 = -3*k - d, -d = -3*k - 3*d - 289. Let f = -97 - k. Is 3/59 less than f?
False
Let f = 5354 + -5377.63. Let l = f - -24. Let w = l - 0.37. Which is smaller: 1.6 or w?
w
Suppose 6*s + 38 = 44. Is 13 smaller than s?
False
Let g(f) = -4*f + 46. Let d be g(11). Suppose 0 = y - d*n + 40, -y - 48 - 8 = 2*n. Is -47 bigger than y?
True
Let y(m) be the first derivative of m**3/3 + 7*m**2 + 12*m + 21. Let o be y(-13). Let g be 1/((-5)/(15/18)). Which is greater: o or g?
g
Let d be 5 + -4 - 2 - 3/(-1). Which is smaller: d or 7?
d
Let l(g) = -6*g + 5. Let m be l(2). Let j = -2 - m. Suppose -4*q = -j*q - 10. Which is bigger: q or -1?
-1
Let x = 0.207 - 0.107. Let f = -20 + 20.085. Which is smaller: f or x?
f
Let h = 13 + -4. Let r(g) be the first derivative of -g**2/2 + 10*g - 18. Let m be r(h). Which is smaller: -0.2 or m?
-0.2
Let d be ((-40)/50)/(2/(-5)). Suppose -2 = -d*i - 8. Let w be -3 - i - (3 + -2). Which is bigger: -1/5 or w?
-1/5
Let l = 1.1 + -4.1. Let a = -16 - l. Let r = -16 - a. Is r smaller than -3?
False
Let b be 34/10 + (-4)/10. Suppose -z + 3*z = g + 2, -b*z + 4 = -g. Suppose 5 = -n + g*d, 8*n - 3*d + 10 = 4*n. Which is smaller: n or -2/27?
n
Let b be (-8)/(-4) - 2/1. Suppose 12*h = 12 + 12. Which is greater: h or b?
h
Suppose 54 = 3*v - 2*j, 4*v - 5*j + 24 = 103. Let b be v/32 - (-62)/(-104). Let a = b - -159/572. Is 0 equal to a?
False
Suppose -37 = -14*c + 61. Suppose -3 = 5*r + c. Which is smaller: r or -4?
-4
Let j(v) be the first derivative of -15*v**2/2 - 1. Let q be j(-1). Suppose 5*p - 2*z = -0*z - 35, p + q = 2*z. Which is smaller: p or -4?
p
Let s = 7 - -2. Let p(q) = -322*q - 960. Let w be p(-3). Is w <= s?
True
Let k be 112/168*(-3)/2. Which is smaller: -3/56 or k?
k
Suppose -188 = 20*i - 68. Which is bigger: -7 or i?
i
Let r = -110 + 110.16. Let i = 0.83 + 0.17. Which is smaller: r or i?
r
Suppose 3*m + 4*m + 833 = 0. Is -123 > m?
False
Suppose -2*h + 27 = 4*n - 3*h, 0 = -5*n - 5*h + 15. Let x be 3 + -1 - 28/12. Which is smaller: n or x?
x
Let g be (-2)/5 - (-66)/(-10). Let j(f) = -f - 1. Let i be j(g). Let y be 2 - 2 - i/11. Is y smaller than -2?
False
Let h(f) be the first derivative of -1/2*f**2 - 5 + 2*f. Let p be h(3). Which is greater: -1/2 or p?
-1/2
Let s be (-2)/(-4)*-2 - (-483)/489. Let p be 2*1 - 20/10. Is s equal to p?
False
Let u = -2.26 - -2.17. Which is greater: u or 1/7?
1/7
Let l be (-37)/4 + (-11)/(-44). Let i = l + 11. Is -4 <= i?
True
Suppose -k = 2*k. Suppose h - 4*h + 6 = k. Let l be ((-6)/(-3))/(h + -16). Which is greater: 0 or l?
0
Let l(a) = 5*a**3 + 9*a + 20. Let x(t) = t**3 + 2. Let w(k) = l(k) - 6*x(k). Let y be w(-1). Let n = -2375/36 - -66. Are y and n equal?
False
Let r = 5.68 - -18.22. Let j = -24 + r. Which is greater: 3 or j?
3
Let d = -114.1 - -121. Let t = d + -6.9. Let c = -0.1 + 5.1. Do t and c have the same value?
False
Suppose 3*q = 19*q. Let n be 7/5*20/4. Let z be (-104)/50 + 14/n. Is z >= q?
False
Let h(k) = -6*k. Let s be h(-4). Suppose 3*i + s - 6 = 0. Let o = 2265/4 - 566. Is o greater than or equal to i?
True
Let x be 9/(3 - 0) - (-44)/(-8). Is 8 at most x?
False
Suppose 5*y = -3*m + 44, -15*y = -11*y - m - 25. Do y and -0.2 have different values?
True
Let i be (-4 - -4)/(-1 - 1 - -1). Let n be (-1)/(-4) + 19/(-12). Which is smaller: n or i?
n
Let k = 82.2 - 59. Let p = -23 + k. Is p at least as big as -2?
True
Let y(q) = -q**3 - 16*q**2 + q + 17. Let w be 13/(-1) - (-6)/(-2). Let j be y(w). Is j != 1/45?
True
Let i be (-7 + 4 - 0)/(3*-1). Which is greater: i or 6/197?
i
Let j = 233 + -219. Which is smaller: j or 3?
3
Let n = -758 - -766. Which is smaller: n or 36?
n
Suppose 50*n = 54*n + 4*g + 144, 0 = 2*g + 18. Suppose p + 5*m + 46 = -0*p, m + 82 = -3*p. Is n greater than or equal to p?
False
Let g be 0 - 0 - (2 + 1 + 2). Let t be (-8)/20 + (28/g)/(-4). Which is smaller: -1/3 or t?
-1/3
Let v(c) = c**3 - 19*c**2 - 16*c - 78. Let m be v(20). Which is smaller: m or 12/19?
12/19
Let z = 2092/2739 + -26/33. Does -1 = z?
False
Let g(b) = 48*b + 1 - 1 + 2*b**2 - 51*b. Let q be g(2). Let v be (q + -3)*(-1 + -2). Which is smaller: 8/3 or v?
8/3
Suppose -4*c - 3*j - 16 = 0, -4*j - 11 - 4 = -c. Does c = -1/434?
False
Let o be -3*(-3)/(45/(-2)). Let j be 6*1 + -15 + 12. Let u be -4 - 0 - -4 - j/(-3). Is u smaller than o?
False
Let i = 25.4 - -1.6. Let k = -26.7 + i. Do k and 1 have the same value?
False
Let p = -23 - -45. Let s(l) = l**2 - 23*l + 22. Let a be s(p). Let u = 2.3 - 1.1. Which is bigger: a or u?
u
Suppose -9*w = 22*w - 1488. Is w at most as big as 243/5?
True
Let c = -8.5 + 7.3. Let r = -17.26 + 17. Let y = r + 0.16. Is c equal to y?
False
Let a(f) = -3*f**2 - 6*f - 15. Let g be a(9). Let u = -12481/40 - g. Which is smaller: 0 or u?
u
Suppose -12 = 5*o - 5*q + 13, q = -4*o. Suppose 3*w + 1 = 4. Let c = o + w. Is c < -3/7?
False
Let m = 21 - 13. Let r(o) = -o**3 + 9*o**2 - 8*o - 2. Let t be r(m). Let n be t + 3/((-12)/(-8)). Is -1/3 at most as big as n?
True
Let k = -548/813 - -2/271. Let u be 1/1*(-5 + 7). Suppose b + 4 = 3*c + 1, 2*b = 2*c - u. Which is smaller: b or k?
k
Suppose -m = -5*m + 4. Let v = -2.2 - -16.2. Let r = v - 9. Is m bigger than r?
False
Let t be 26/(-10) + 2 - -2. Let y be ((-4097)/(-102) + -16)*(-4)/(-50). Let u = t + y. Do u and 2/3 have the same value?
False
Let i be (-2766)/554 - (19 - 24). Is 1 smaller than i?
False
Let r = 19.77 + 0.2 | {
"pile_set_name": "DM Mathematics"
} |
-1.03496829?
1.03496829
1.7 times -155269
-263957.3
Calculate 0.17*-2662247.
-452581.99
Calculate -1385492*-4.
5541968
1.0491*0.398
0.4175418
Product of 229079 and -0.22.
-50397.38
Product of -0.08 and -10.96228.
0.8769824
-178.7 * -9828
1756263.6
What is the product of -12636 and 4536?
-57316896
Calculate -50534751*0.
0
5186.0883*-2
-10372.1766
1158 * -191455
-221704890
Product of 2 and 32180229.
64360458
0.8135 * -29.18
-23.73793
Multiply -73 and -1156164.
84399972
14844 * 5.88
87282.72
What is the product of -1.361913 and 0.073?
-0.099419649
Multiply 60 and 14184.2.
851052
Multiply 3.29581899 and 1.
3.29581899
1267421 * -285
-361214985
32180403 times -2
-64360806
Calculate -2053*56.05.
-115070.65
Calculate -0.20290582*3.5.
-0.71017037
Calculate 66704*248.
16542592
9079413*0.013
118032.369
Work out 4066103 * -3.
-12198309
Work out 0.09 * -0.482236.
-0.04340124
What is the product of -0.14 and -19538?
2735.32
2216309*0.3
664892.7
Multiply 48 and -1178.2481.
-56555.9088
Work out 22602 * -17.54.
-396439.08
What is the product of -329578319 and -0.1?
32957831.9
Calculate 15552478*-0.3.
-4665743.4
Calculate -0.0252*-0.591.
0.0148932
Multiply -12 and -1185022.8.
14220273.6
What is the product of -489508 and 0.381?
-186502.548
-0.2 * -5369267
1073853.4
What is the product of -5.58352 and 0.4?
-2.233408
What is -23453126 times -0.2?
4690625.2
Multiply 432360088 and 4.
1729440352
Multiply 10061 and -49272.
-495725592
-0.24517 * -0.03
0.0073551
Multiply 1.8 and 531041.5.
955874.7
Work out 163 * -30251.1.
-4930929.3
-9*-5808.7732
52278.9588
What is the product of -0.2 and -9.141025?
1.828205
-14732.4 * -0.09
1325.916
What is the product of -0.5 and -65643845?
32821922.5
What is the product of -86810729 and -3?
260432187
1.0587 times 0.53584
0.567293808
0.01116359*0.3
0.003349077
Calculate 107088911*-4.
-428355644
What is the product of 113 and -143106?
-16170978
Product of -555 and 80.5.
-44677.5
0.6 times 0.0582662
0.03495972
Calculate -140473380*0.2.
-28094676
Calculate 17*-1767030.
-30039510
0.04 times 41441377
1657655.08
-16939305*-3
50817915
What is the product of 0.413144 and 5?
2.06572
3.4 times -0.00217204
-0.007384936
What is -277 times 58515?
-16208655
Multiply -0.027 and 33308.
-899.316
Product of 573360 and -20.
-11467200
Multiply 0.2 and -17582299.
-3516459.8
-104412 * 0.726
-75803.112
What is the product of -327 and -277481.3?
90736385.1
Calculate 681328.1*-0.07.
-47692.967
-0.71 times 5096.3
-3618.373
Work out -38595542 * 4.
-154382168
0.043 * -3448918
-148303.474
Work out -0.18 * 57307.3.
-10315.314
Calculate -73*-94777.
6918721
What is the product of 70249567 and -0.1?
-7024956.7
Multiply -0.3 and -597186.
179155.8
Work out -116569 * 248.
-28909112
Multiply -0.016 and 1.7337189.
-0.0277395024
What is 14005.751 times 0.03?
420.17253
104 * 5699.1
592706.4
Work out -0.2738 * 120998.
-33129.2524
Multiply -35 and -49441.
1730435
Work out 9207407 * 71.
653725897
-0.5*-0.116196
0.058098
2*353.93147
707.86294
Calculate -196.532*34.5.
-6780.354
Multiply -0.21 and -168941.
35477.61
Multiply -18854 and 854.
-16101316
What is the product of -6377.493 and -1.8?
11479.4874
Work out -35.89 * 9998.
-358828.22
0.008605743 times -8
-0.068845944
-1170377 * 1.4
-1638527.8
Product of 2 and -0.12633167.
-0.25266334
3434.8 times -565
-1940662
What is the product of -9 and 0.06006192?
-0.54055728
93 times 1049228
97578204
-151763.9*-2
303527.8
Work out -0.0685534 * -0.072.
0.0049358448
Work out 755.4362 * -10.
-7554.362
What is the product of 20 and -32477.5?
-649550
Work out 15 * 121026.
1815390
Product of 0.965158 and -99.
-95.550642
Product of -22258 and -0.40154.
8937.47732
Product of 1488431 and -7.
-10419017
-182.4*4284
-781401.6
Product of -302.42918 and 3.
-907.28754
Work out -20842418.94 * -0.5.
10421209.47
Product of 5 and 2158218.
10791090
Product of -306077 and 56.
-17140312
-0.69*3727193
-2571763.17
6390105*-1.61
-10288069.05
Calculate -0.45*-22189.
9985.05
What is 5.7 times 696914?
3972409.8
What is 1250871 times -0.05?
-62543.55
What is the product of 1764052.6 and 5?
8820263
Multiply -8875.025 and -6.
53250.15
2059 * 0.400368
824.357712
98786246 times -2
-197572492
0.66 times -19603
-12937.98
970 times 97839
94903830
28 * -35620431
-997372068
What is 4137185 times -0.35?
-1448014.75
What is -2487.827 times -2?
4975.654
What is the product of 2390220 and 5?
11951100
-2661453 * 0
0
What is the product of -0.0745112 and -50?
3.72556
Calculate -1*-4880093.
4880093
32*61528
1968896
Multiply -236934 and 0.283.
-67052.322
59.894*-0.324
-19.405656
Calculate 0.4*-4063197.
-1625278.8
-4 times -511213
2044852
Multiply 7574 and -22.
-166628
Work out -60.816 * 0.0456.
-2.7732096
What is 0.04 times -8646.967?
-345.87868
-3*-6905.87
20717.61
Work out -10997945 * -3.
32993835
Product of 2 and -30057973.
-60115946
-0.1 times 77520175
-7752017.5
Work out -1283678 * 1.2.
-1540413.6
-0.16 times -0.928127
0.14850032
Calculate -4307*-64135.
276229445
Multiply 37154509 and 12.
445854108
Product of 33668327 and 0.15.
5050249.05
Calculate -509*-6343.
3228587
What is the product of 2.61076087 and 0?
0
Product of -8 and -16.9025.
135.22
4 times -35138916
-140555664
-1171793 times -0.58
679639.94
-0.5 * -991032
495516
What is the product of -0.1 and 6144723?
-614472.3
What is 33882 times -17.6?
-596323.2
Multiply -3429 and 19.7.
-67551.3
Calculate 99*358060.
35447940
What is the product of -0.06 and 8485791?
-509147.46
What is 14.96469 times -12?
-179.57628
953 * -0.354
-337.362
-0.5*-2710414.58
1355207.29
Work out 0.085588863 * 1.
0.085588863
Calculate 134251*8.2.
1100858.2
70728.718*0.2
14145.7436
What is the product of 1496.2 and -3803?
-5690048.6
Calculate 11541046*1.
11541046
What is the product of -304226 and 0.06?
-18253.56
What is the product of 8647.24 and -377?
-3260009.48
-2 times 127251006
-254502012
Product of -0.988363 and 773.
-764.004599
617142 times 5
3085710
Product of -127998 and 36.26.
-4641207.48
Product of -0.001104 and 689.
-0.760656
3327062*-21
-69868302
Multiply 0.5 and -108493611.
-54246805.5
Calculate 3*-20588483.
-61765449
Multiply -23085 and 1.26.
-29087.1
Product of 116 and -396092.
-45946672
What is 100524 times -661?
-66446364
Multiply -0.74 and -4673.
3458.02
Work out 0.09605 * -155.2.
-14.90696
Work out -265.2 * 3.479.
-922.6308
-51885642 times -5
259428210
What is -0.50530816 times 5?
-2.5265408
Work out -45677767 * -0.2.
9135553.4
Work out -134 * 33.224.
-4452.016
111254.7 * 5
556273.5
-0.33*2906123
-959020.59
Product of 1 and -1391.3743.
-1391.3743
What is -0.02 times -1.5951297?
0.031902594
Multiply -2 and -126762.44.
253524.88
-2 * -168520
337040
Product of 517 and -1.0962.
-566.7354
-11378.42*0.03
-341.3526
0.0129255 * 0
0
Multiply 52 and -251800.
-13093600
15166*-217
-3291022
-0.0942312 * -0.1
0.00942312
Product of 2347 and -0.0639.
-149.9733
Calculate -79613*5.88.
-468124.44
Work out -0.1 * -1213.021.
121.3021
-1599756643 times 0.5
-799878321.5
What is the product of -861097.3 and 0.2?
-172219.46
20172 times -774
-15613128
Calculate -1862854*5.
-9314270
-21*-7576393
159104253
Work out -0.1608 * 97.
-15.5976
What is -13950 times 0.395?
-5510.25
Calculate -5373681*-8.
42989448
-8251*-0.17
1402.67
-1.50704*-99
149.19696
290030 * -9
-2610270
What is 717183 times -1?
-717183
-6104 times -717.9
4382061.6
-0.036 * 12840.9
-462.2724
Work out 2.9 * -15257381.
-44246404.9
Calculate -289.83026*-6.
1738.98156
14.3194 times 0.031
0.4439014
23*1352975
31118425
Work out 7835 * 18270.
143145450
What is 0.5 times -3214000?
-1607000
Multiply 4 and 5599.9176.
22399.6704
Work out 17501456 * -5.
-87507280
What is -0.189 times 1.83236?
-0.34631604
Calculate -0.369*-2025.852.
747.539388
Calculate 661044*-0.133.
-87918.852
Multiply 0.06 and 931903.
55914.18
Product of 10398304 and -26.
-270355904
Multiply 56 and 65.44.
3664.64
Work out -45 * 463015.
-20835675
0.018688938 * 0.2
0.0037377876
Calculate -440773*-0.26.
114600.98
Calculate -0.11726*-0.0927.
0.010870002
-527 times 378034
-199223918
Work out 2.52 * -1023368.
-2578887.36
232167*-86.2
-20012795.4
Calculate -1155*-4036.
4661580
-519308.4 * -9
4673775.6
Product of 0.53 and 8.17148.
4.3308844
3 times 6.281427
18.844281
0.6872 times 617
424.0024
-23.84886 * 12
-286.18632
36257799*-8
-290062392
| {
"pile_set_name": "DM Mathematics"
} |
ithout replacement from {d: 4, m: 6, g: 6, e: 1}. What is prob of picking 4 g?
3/476
Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {a: 10, y: 4, d: 6}.
12/95
Calculate prob of picking 3 j when three letters picked without replacement from {g: 1, k: 2, j: 4, t: 1}.
1/14
Four letters picked without replacement from {o: 2, c: 1, e: 9, q: 7}. Give prob of picking 1 c, 1 o, and 2 q.
7/646
Calculate prob of picking 1 q and 2 i when three letters picked without replacement from {q: 2, i: 3, n: 6, f: 1, e: 1, s: 2}.
6/455
What is prob of picking 2 e and 1 q when three letters picked without replacement from {q: 2, e: 6}?
15/28
Calculate prob of picking 1 c and 2 r when three letters picked without replacement from {h: 1, l: 1, r: 1, b: 2, c: 1, f: 1}.
0
Three letters picked without replacement from {i: 1, n: 1, o: 2, q: 1, s: 1, c: 1}. Give prob of picking 3 s.
0
Three letters picked without replacement from {h: 1, g: 1, q: 7}. Give prob of picking 1 h and 2 q.
1/4
Calculate prob of picking 4 o when four letters picked without replacement from oooooookoooooooook.
91/153
What is prob of picking 3 o when three letters picked without replacement from eeoxtoogexob?
1/55
Calculate prob of picking 1 j, 1 i, and 1 v when three letters picked without replacement from {v: 2, j: 2, x: 3, i: 9}.
9/140
Two letters picked without replacement from {j: 1, x: 1, h: 1, a: 2, k: 3, c: 3}. What is prob of picking 1 x and 1 a?
2/55
Three letters picked without replacement from ttttttttt. What is prob of picking 3 t?
1
What is prob of picking 1 p and 2 x when three letters picked without replacement from pxyvptvyxptxy?
9/286
Two letters picked without replacement from {l: 3, t: 2}. What is prob of picking 2 t?
1/10
Calculate prob of picking 3 v when three letters picked without replacement from {v: 11, y: 2}.
15/26
What is prob of picking 3 m when three letters picked without replacement from hlmmhhmm?
1/14
Four letters picked without replacement from fffywfffwf. Give prob of picking 2 w, 1 y, and 1 f.
1/30
Calculate prob of picking 1 b, 1 y, and 1 j when three letters picked without replacement from bybjbaba.
1/14
Three letters picked without replacement from vfffvfffftfffvf. What is prob of picking 1 t and 2 v?
3/455
What is prob of picking 3 r when three letters picked without replacement from {r: 4, s: 4, y: 12}?
1/285
Two letters picked without replacement from {q: 1, y: 1, p: 1, k: 1, s: 1}. Give prob of picking 1 p and 1 q.
1/10
Three letters picked without replacement from {z: 5, n: 3, m: 3, b: 1, i: 2, t: 1}. What is prob of picking 2 i and 1 z?
1/91
What is prob of picking 2 t when two letters picked without replacement from pptptpt?
1/7
Calculate prob of picking 2 q and 1 f when three letters picked without replacement from {n: 1, f: 1, q: 17}.
8/57
Four letters picked without replacement from lllttllltllleetlel. Give prob of picking 2 t and 2 l.
11/102
Two letters picked without replacement from vvvvvpppvpvpv. Give prob of picking 1 v and 1 p.
20/39
Two letters picked without replacement from {y: 3, i: 5, f: 1}. Give prob of picking 2 y.
1/12
Two letters picked without replacement from {f: 3, x: 1, t: 5, m: 4}. Give prob of picking 1 x and 1 f.
1/26
Calculate prob of picking 2 b and 1 x when three letters picked without replacement from {b: 3, i: 1, s: 7, z: 2, x: 4}.
3/170
Two letters picked without replacement from {k: 1, s: 1, n: 3, q: 1, b: 1}. Give prob of picking 2 n.
1/7
Three letters picked without replacement from {t: 3, z: 1, i: 5}. What is prob of picking 2 i and 1 z?
5/42
What is prob of picking 1 g and 1 h when two letters picked without replacement from {w: 3, r: 3, h: 5, y: 1, i: 1, g: 4}?
5/34
Calculate prob of picking 1 e and 1 o when two letters picked without replacement from zzwwoe.
1/15
Two letters picked without replacement from vnnvnnv. What is prob of picking 2 n?
2/7
Calculate prob of picking 3 t and 1 v when four letters picked without replacement from {v: 6, t: 4, w: 3, n: 4}.
6/595
Two letters picked without replacement from {w: 5, u: 1, o: 1, z: 3, r: 4, i: 3}. Give prob of picking 2 w.
5/68
Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {i: 1, a: 2, q: 1, j: 1, v: 1, b: 1}.
1/21
What is prob of picking 2 b when two letters picked without replacement from kebob?
1/10
Two letters picked without replacement from {e: 1, y: 5, c: 1, s: 2}. What is prob of picking 1 y and 1 c?
5/36
Three letters picked without replacement from iuiuuuiuii. Give prob of picking 3 i.
1/12
Four letters picked without replacement from yyywkgyhykywyy. Give prob of picking 1 g, 1 k, and 2 w.
2/1001
What is prob of picking 2 c and 1 t when three letters picked without replacement from {j: 4, x: 2, c: 2, t: 8}?
1/70
Three letters picked without replacement from yyyaayyyayaaayay. What is prob of picking 2 y and 1 a?
9/20
Four letters picked without replacement from ffmmmff. Give prob of picking 3 m and 1 f.
4/35
What is prob of picking 2 y, 1 n, and 1 t when four letters picked without replacement from nybyttttu?
2/63
Two letters picked without replacement from cdgcgggdtgggtcg. What is prob of picking 2 g?
4/15
Two letters picked without replacement from {z: 4, r: 6, n: 4}. What is prob of picking 1 r and 1 z?
24/91
Two letters picked without replacement from {d: 1, x: 3, j: 4}. Give prob of picking 1 j and 1 d.
1/7
What is prob of picking 4 k when four letters picked without replacement from {w: 1, a: 2, k: 11}?
30/91
Three letters picked without replacement from {w: 2, l: 7, j: 7}. Give prob of picking 3 j.
1/16
What is prob of picking 3 o when three letters picked without replacement from mmomooherho?
4/165
Four letters picked without replacement from {m: 7, x: 6, o: 2}. Give prob of picking 1 o and 3 x.
8/273
Two letters picked without replacement from njwuubyjybywuw. What is prob of picking 1 w and 1 j?
6/91
What is prob of picking 3 a and 1 w when four letters picked without replacement from {e: 1, a: 3, w: 3, l: 1, z: 3}?
1/110
Three letters picked without replacement from {v: 4, s: 1, r: 2, a: 12}. Give prob of picking 1 v and 2 r.
4/969
What is prob of picking 1 a and 3 b when four letters picked without replacement from bbabbaabbabbbb?
480/1001
Calculate prob of picking 4 g when four letters picked without replacement from atatggatggttgggg.
1/26
Three letters picked without replacement from imiiiiiiiiiiiiimiimi. Give prob of picking 3 m.
1/1140
What is prob of picking 3 n when three letters picked without replacement from {n: 14, y: 1}?
4/5
What is prob of picking 2 q when two letters picked without replacement from qqqkkqqq?
15/28
Calculate prob of picking 2 n, 1 w, and 1 l when four letters picked without replacement from nnowwalnnnnnuno.
8/195
Two letters picked without replacement from {x: 4, z: 5, u: 4, o: 2}. Give prob of picking 2 o.
1/105
Two letters picked without replacement from {k: 3, q: 2, w: 3, s: 8}. Give prob of picking 2 s.
7/30
What is prob of picking 2 g when two letters picked without replacement from {i: 1, e: 1, g: 2, k: 10, d: 2}?
1/120
What is prob of picking 1 r and 2 g when three letters picked without replacement from {d: 1, q: 1, r: 4, m: 2, k: 1, g: 3}?
3/55
Calculate prob of picking 1 p, 2 f, and 1 g when four letters picked without replacement from {p: 3, g: 1, f: 5, t: 1, x: 4}.
30/1001
Calculate prob of picking 1 l and 1 u when two letters picked without replacement from eleeueleeuey.
2/33
Two letters picked without replacement from xkkexfw. Give prob of picking 1 e and 1 x.
2/21
Two letters picked without replacement from {l: 2, j: 2, m: 1, w: 3, u: 9}. What is prob of picking 1 l and 1 j?
1/34
What is prob of picking 1 c, 1 p, and 1 r when three letters picked without replacement from {z: 3, u: 1, p: 2, g: 3, r: 1, c: 3}?
3/143
Two letters picked without replacement from mmymuuuuuuuum. Give prob of picking 2 u.
14/39
What is prob of picking 4 f when four letters picked without replacement from {o: 7, f: 7, s: 2}?
1/52
Three letters picked without replacement from {m: 11, v: 5}. What is prob of picking 3 v?
1/56
Two letters picked without replacement from socscsossss. What is prob of picking 2 c?
1/55
What is prob of picking 1 y and 1 | {
"pile_set_name": "DM Mathematics"
} |
*a**2 + 159 - 35*a - 5*a**2.
-a**2 - 35*a + 159
Collect the terms in 0 - 7708*u + 3783*u + 0 + 3921*u.
-4*u
Collect the terms in 9*c + 12*c + 163*c.
184*c
Collect the terms in -17*q - 53730 + 53730.
-17*q
Collect the terms in 2*i**2 - i**2 - 9*i**2 + 16*i**2 + 16*i**2.
24*i**2
Collect the terms in 7*g**2 + 2 - 3 + 0*g**2 + g**2.
8*g**2 - 1
Collect the terms in -5595*r + 14 - 2*r**2 - 5594*r + 6*r**2 + 11189*r.
4*r**2 + 14
Collect the terms in -16*h**2 + 95*h**2 + 133*h**2 + 18*h**2 + 5*h**2.
235*h**2
Collect the terms in 51*n - 30*n + 56*n - 4*n + 26*n.
99*n
Collect the terms in -33*c - 27*c + 155*c - 29*c - 35*c - 30*c.
c
Collect the terms in 8*x - 16*x + 5*x + 32 + 54 + 2*x.
-x + 86
Collect the terms in -3256 + 3256 + 2*u**3 + 509*u**2.
2*u**3 + 509*u**2
Collect the terms in -249*r**2 + 3*r - 2*r + 743*r**2 - 387*r**2.
107*r**2 + r
Collect the terms in -109*g**3 + 19*g**3 - 36*g**3 + 2*g.
-126*g**3 + 2*g
Collect the terms in -187*v**2 - 24*v + 600*v**2 + 24*v.
413*v**2
Collect the terms in 230*s**3 - 119*s**3 - 155*s**3.
-44*s**3
Collect the terms in -274*t**3 - 939*t + 939*t + 41*t**3.
-233*t**3
Collect the terms in -t + 134 + t**3 + 110 + 42 + 19.
t**3 - t + 305
Collect the terms in -11*o + 2 - 7 + 7 - 5.
-11*o - 3
Collect the terms in 2 + 606*f - 594*f - 5 + 2.
12*f - 1
Collect the terms in -83 + 363 + d - 2*d.
-d + 280
Collect the terms in -334*p + p - 48*p.
-381*p
Collect the terms in 159*g + 153*g + 12 - 293*g.
19*g + 12
Collect the terms in 522*o**2 + 361*o**2 - 323*o**2.
560*o**2
Collect the terms in 2059*t**2 - 4116*t**2 + 2057*t**2 - 30*t**3.
-30*t**3
Collect the terms in -2463*n**2 - 2159*n**2 + 4625*n**2.
3*n**2
Collect the terms in -78 - 17*x + 21 + 29 + 28.
-17*x
Collect the terms in -72*p**3 - 139825 + 139825.
-72*p**3
Collect the terms in 2099*f**3 - 205*f**3 - 778*f**3 - 531*f**3.
585*f**3
Collect the terms in 20*x + 34170 - 12*x**2 - 20*x - 34170.
-12*x**2
Collect the terms in 450*u - 594*u - 404*u - 740*u.
-1288*u
Collect the terms in -14*i**3 + 0*i**3 - 5 + 20*i**3.
6*i**3 - 5
Collect the terms in -78747*z**2 - 78742*z**2 + 26*z + 157488*z**2.
-z**2 + 26*z
Collect the terms in -24*l - 2*l + 23*l.
-3*l
Collect the terms in -2436*o**3 - 7*o + 7*o - 2456*o**3 + 4858*o**3.
-34*o**3
Collect the terms in 1 + 3 + 88*d - 4*d**2 - 20 + 6 + 9.
-4*d**2 + 88*d - 1
Collect the terms in -12*b - 15*b - 13*b + 3*b + 41*b.
4*b
Collect the terms in 0*l + 3*l - 4*l + 166 - 204.
-l - 38
Collect the terms in -1477*p**2 + 520*p - 1036*p + 516*p + 1.
-1477*p**2 + 1
Collect the terms in 900*p**3 + 916*p**3 - 2729*p**3 + 915*p**3.
2*p**3
Collect the terms in -22*s**3 + 44 + 9 + 4 + 28*s**3.
6*s**3 + 57
Collect the terms in -4*k + 7*k - 899*k**3 - 3*k + 895*k**3.
-4*k**3
Collect the terms in -29466*q - 29464*q + 58930*q - 60*q**3.
-60*q**3
Collect the terms in 8*m**3 - 9*m**3 - 13*m**3 + 3*m**3 - 47*m**3 - m**2.
-58*m**3 - m**2
Collect the terms in -33375*g**3 - 33368*g**3 + 66751*g**3.
8*g**3
Collect the terms in 7545 - 21*c**2 + 5*c**2 - 7545 - 13*c**2.
-29*c**2
Collect the terms in 236 + 237 + 241 - 715 + 20*v**2.
20*v**2 - 1
Collect the terms in -16076*q - 8 + 9 - 1.
-16076*q
Collect the terms in -38*o + 10*o - 4145*o**3 + 4144*o**3.
-o**3 - 28*o
Collect the terms in 14*h**3 - 53*h**3 + 69*h**3.
30*h**3
Collect the terms in -475*w**2 + 377*w**2 + 101*w**2.
3*w**2
Collect the terms in -61*m + 223 - 223 - 211*m**2 + 61*m.
-211*m**2
Collect the terms in -9*q**2 + 15*q**2 - 13*q - 28*q + 41*q.
6*q**2
Collect the terms in -416*s - 1565*s - 616*s.
-2597*s
Collect the terms in 15069795*w + 2*w**3 - 15069795*w - 6*w**3.
-4*w**3
Collect the terms in -58*f - 22 + 56*f + 22.
-2*f
Collect the terms in -158 - 179 - 159 + 5*l + 493.
5*l - 3
Collect the terms in -857*z**3 + 431*z**3 + 451*z**3 + 7*z**2 - 3*z**2.
25*z**3 + 4*z**2
Collect the terms in 58*t**2 - 59*t**2 + 125*t**2.
124*t**2
Collect the terms in -20*i - 109 + 109 - i**2.
-i**2 - 20*i
Collect the terms in 15*b**3 - 5*b - 10*b + 9*b - 4*b.
15*b**3 - 10*b
Collect the terms in -440*w**3 - 416*w**3 + 21*w**3.
-835*w**3
Collect the terms in -20*x**2 + 107*x**2 - 58*x**2 - 24*x**2 - 8*x**2.
-3*x**2
Collect the terms in -56*c**2 + 56*c**2 + 162 - 86 + 83*c**3 - 74.
83*c**3 + 2
Collect the terms in 22*k**3 - 305*k + 4*k**3 - 306*k + 611*k.
26*k**3
Collect the terms in 24 - 21*n**2 + 1 + 22*n**2.
n**2 + 25
Collect the terms in -2*z**3 + 15*z**3 + 5*z**3 + 135*z**3.
153*z**3
Collect the terms in -4 + 0 + 367*c + 2 + 4.
367*c + 2
Collect the terms in 10 - 18 - 8*g**2 - 7*g**2 + 16*g**2 - 14*g**2.
-13*g**2 - 8
Collect the terms in 4*p**3 + 822*p + 1163*p - 1985*p.
4*p**3
Collect the terms in -2*i**3 - 85 + 263 - 91 - 87 + 4*i**3.
2*i**3
Collect the terms in -193211*w**2 - 1 - 2*w + 193441*w**2 + 1.
230*w**2 - 2*w
Collect the terms in 5*k - 53*k**3 + 36*k**3 - 7*k + 2*k.
-17*k**3
Collect the terms in -685 + 698 + 2*n**2 + 902 + 767.
2*n**2 + 1682
Collect the terms in 0*a + 3*a - 7 - 9*a.
-6*a - 7
Collect the terms in 145 + 2*m**2 + 140 + 144 - 425.
2*m**2 + 4
Collect the terms in y + 11*y + 5*y + 12*y.
29*y
Collect the terms in 658*d + 116 - 116 + 6262*d.
6920*d
Collect the terms in -4828*s**2 - 2782*s**2 - s**3 + 7610*s**2.
-s**3
Collect the terms in -761*c + 37*c + 7*c.
-717*c
Collect the terms in 40*b + 2522*b**3 + 35*b - 75*b.
2522*b**3
Collect the terms in 6786*w**3 + 23217*w**3 + 5624*w**3 + 4810*w**3.
40437*w**3
Collect the terms in 20 - 6478*o + 6474*o - 6 - 14.
-4*o
Collect the terms in -66 + 136 - 70 + 129*o.
129*o
Collect the terms in -43 - 47*w**2 + 19 + 16 + 21.
-47*w**2 + 13
Collect the terms in -9*g**2 + 6*g**2 - 5*g**2.
-8*g**2
Collect the terms in 76433*k - 76433*k - 39 + k**3.
k**3 - 39
Collect the terms in -7*k**2 + 7*k**2 + 78*k**3 - 5*k - 75*k**3.
3*k**3 - 5*k
Collect the terms in -2994 + 1009 + n + 971 + 1014.
n
Collect the terms in -3*c**3 + 2*c**3 + 7 + 2*c**3 + 15 - 22.
c**3
Collect the terms in 130*q - 283*q + 73*q + 76*q.
-4*q
Collect the terms in 860468*v + 860475*v + 860474*v - 2581416*v.
v
Collect the terms in 29*c - 48*c + 7*c + 6*c.
-6*c
Collect the terms in 107*o - 23 + 47 - 2*o**2 - 24.
-2*o**2 + 107*o
Collect the terms in 100*p**2 + 73*p**2 - 2*p - 33*p**2.
140*p**2 - 2*p
Collect the terms in 12 - 21 + 169*w + 9 - 20*w.
149*w
Collect the terms in -2*r**2 + 0*r**3 - 2*r**3 + 463556039101 - 463556039101 + 2*r**2.
-2*r**3
Collect the terms in -1 + 1 + 85*v**3 + 74*v**3 + 325*v**3 - 486*v**3.
-2*v**3
Collect the terms in 2*y + 10 + 4 - 19.
2*y - 5
Collect the terms in -19*i**3 - 29*i**3 + 6*i + 18*i - 24*i.
-48*i**3
Collect the terms in -1472*h + 520*h - 1401*h.
-2353*h
Collect the terms in -54480 - o + 54480.
-o
Collect the terms in -28*c + 464*c + 532*c.
968*c
Collect the terms in 8*n**2 - 15*n - 37*n + 62*n - 18*n.
8*n**2 - 8*n
Collect the terms in 333*t**3 + 471*t**3 - 158*t**3 - 48*t**3.
598*t**3
Collect the terms in -43 + 2*d**2 - 2*d**2 + 39 - 2*d**2.
-2*d**2 - 4
Collect the terms in 41*h - 10*h**3 - 144*h + 11*h**3 - 1132*h.
h**3 - 1235*h
Collect the terms in -115*a**2 - 7*a - 6*a + 21*a - 10*a.
-115*a**2 - 2*a
Collect the terms in -1 - 58*t - 243*t - 134*t + 5 + 13*t.
-422*t + 4
Collect the terms in 2 - 3 + 1 - 3717*o.
-3717*o
Collect the terms in 2291*p - 1764*p + 2411*p + 611*p.
3549*p
Collect the terms in 13*x**3 + 120*x**3 + 111*x**3.
244*x**3
Collect the terms in -6*m - 3*m + 179*m**2 + 9*m.
179*m**2
Collect the terms in 24*u + 566*u**3 - 24*u + 176*u**3.
742*u**3
Collect the terms in -3*v + 7*v - 3*v + 88*v**2 - 93*v**2 - v.
-5*v**2
Collect the terms in 31*v - 114*v + 22*v + 24*v + 20*v.
-17*v
Collect the terms in -319 - 1284*x + 319.
-1284*x
Collect the terms in 1771*n**3 - 3406*n**3 + 1631*n**3.
-4*n**3
Collect the terms in 18*o**2 + 12*o**2 - 1728 + o**2.
31*o**2 - 1728
Collect the terms in -26*a**3 - 26*a**3 - 48*a**3 + 38*a**3.
-62*a**3
Collect the terms in 50*x - 135*x - 2987*x**3 + 85*x.
-2987*x**3
Collect the terms in 247 - 1366*d**2 - 247.
-1366*d**2
Collect the terms in 477*r**2 + 476*r**2 - 953*r**2 - 16*r**3.
-16*r**3
Collect the terms in -746*s**2 + 402*s**2 + 461*s**2.
117*s**2
Collect the terms in -919*l**3 + 461*l**3 + 463*l**3.
5*l**3
Collect the terms in 344*b**3 - 369*b**2 - 358*b**2 + 1090*b**2 - 363*b**2.
344*b**3
Collect the terms in 30* | {
"pile_set_name": "DM Mathematics"
} |
ement from wwwwwwzwwwwwwwwwzwwz. What is prob of picking 1 w and 3 z?
1/285
Two letters picked without replacement from {x: 7, f: 6}. What is prob of picking 2 x?
7/26
Calculate prob of picking 1 f, 1 l, 1 d, and 1 r when four letters picked without replacement from dllfdvdrldrfrlddfdv.
21/323
Four letters picked without replacement from xkxxxmmxxxyxxzzxxmxx. What is prob of picking 1 y and 3 m?
1/4845
Two letters picked without replacement from {w: 2, b: 1, c: 1, f: 2, e: 1}. Give prob of picking 1 f and 1 c.
2/21
What is prob of picking 2 b and 1 c when three letters picked without replacement from {c: 7, b: 3, r: 2}?
21/220
Calculate prob of picking 2 r and 2 k when four letters picked without replacement from rskrrsaka.
1/42
Four letters picked without replacement from xpfpxdpffbfzfxpxpdxp. What is prob of picking 1 x, 1 f, 1 z, and 1 d?
10/969
Two letters picked without replacement from hhlllllhllh. What is prob of picking 2 h?
6/55
What is prob of picking 1 f, 1 d, and 1 c when three letters picked without replacement from {u: 1, f: 5, c: 1, d: 3}?
1/8
Two letters picked without replacement from {t: 1, r: 2}. Give prob of picking 1 t and 1 r.
2/3
Two letters picked without replacement from {w: 6, b: 1, k: 4, a: 6}. What is prob of picking 1 b and 1 k?
1/34
Calculate prob of picking 1 d, 1 m, and 1 l when three letters picked without replacement from ladkddddlamaak.
5/182
What is prob of picking 2 m when two letters picked without replacement from {m: 11, w: 3, z: 1, v: 1, l: 1, s: 3}?
11/38
What is prob of picking 1 h and 1 g when two letters picked without replacement from {n: 3, g: 3, h: 13}?
13/57
What is prob of picking 1 v and 2 o when three letters picked without replacement from vvvvovvvvovo?
27/220
Two letters picked without replacement from ccgcvzcczvcvg. What is prob of picking 1 c and 1 g?
2/13
Two letters picked without replacement from aapphlplpppppp. Give prob of picking 1 l and 1 h.
2/91
Calculate prob of picking 2 d, 1 h, and 1 l when four letters picked without replacement from {e: 3, b: 3, w: 2, d: 2, l: 1, h: 1}.
1/495
Three letters picked without replacement from ohzhlo. Give prob of picking 2 h and 1 z.
1/20
Calculate prob of picking 2 y when two letters picked without replacement from {z: 4, m: 4, e: 1, y: 6}.
1/7
Four letters picked without replacement from ngggngqnnnngnnnnnn. What is prob of picking 4 n?
11/68
Calculate prob of picking 2 g and 1 y when three letters picked without replacement from {y: 2, g: 5, m: 1, o: 1, k: 2, u: 2}.
10/143
Calculate prob of picking 2 h and 2 i when four letters picked without replacement from {i: 5, h: 14}.
455/1938
Two letters picked without replacement from fqdcz. Give prob of picking 1 f and 1 z.
1/10
Three letters picked without replacement from {i: 6, n: 1, g: 4}. What is prob of picking 2 i and 1 g?
4/11
Four letters picked without replacement from qqqqqqqiqqqqqqqqqq. Give prob of picking 1 i and 3 q.
2/9
Three letters picked without replacement from rddsmsjy. What is prob of picking 1 d, 1 m, and 1 j?
1/28
What is prob of picking 1 f and 1 b when two letters picked without replacement from fnfbbfffbbfn?
4/11
Four letters picked without replacement from ewewewewece. Give prob of picking 3 e and 1 c.
2/33
Calculate prob of picking 2 o, 1 p, and 1 s when four letters picked without replacement from offfsoffoffpffffspp.
3/646
Calculate prob of picking 1 b, 1 j, and 1 i when three letters picked without replacement from ibjnj.
1/5
Calculate prob of picking 1 h and 2 n when three letters picked without replacement from nntcttctnhct.
3/220
Calculate prob of picking 1 o and 3 k when four letters picked without replacement from kookk.
2/5
Two letters picked without replacement from {t: 6, v: 3, b: 5, e: 1, u: 4, n: 1}. What is prob of picking 2 v?
3/190
Three letters picked without replacement from {b: 3, q: 13, m: 3}. What is prob of picking 1 b and 2 m?
3/323
What is prob of picking 1 g and 1 a when two letters picked without replacement from lgaaa?
3/10
Calculate prob of picking 1 x and 2 j when three letters picked without replacement from {j: 2, x: 2, l: 2, d: 2}.
1/28
Two letters picked without replacement from {w: 1, q: 5, o: 4}. What is prob of picking 2 o?
2/15
Calculate prob of picking 3 u when three letters picked without replacement from {t: 5, u: 6, d: 4}.
4/91
What is prob of picking 2 i when two letters picked without replacement from {i: 5, g: 1, a: 2, o: 1, y: 6, w: 5}?
1/19
Calculate prob of picking 1 p, 2 o, and 1 x when four letters picked without replacement from {o: 4, p: 2, x: 1, y: 7}.
12/1001
Two letters picked without replacement from elemeeaaleapalee. Give prob of picking 2 l.
1/40
What is prob of picking 1 y and 3 m when four letters picked without replacement from {y: 1, g: 7, b: 5, m: 3}?
1/1820
Two letters picked without replacement from obobbbbbbbboob. Give prob of picking 1 o and 1 b.
40/91
Two letters picked without replacement from {v: 3, a: 1}. Give prob of picking 1 a and 1 v.
1/2
Four letters picked without replacement from yyyyydyyyddyyy. What is prob of picking 2 d and 2 y?
15/91
Four letters picked without replacement from {z: 2, v: 3, s: 1, e: 1, h: 4}. Give prob of picking 2 v, 1 e, and 1 h.
2/55
Two letters picked without replacement from {a: 1, o: 4, y: 2, g: 3}. Give prob of picking 1 a and 1 g.
1/15
What is prob of picking 1 x, 2 e, and 1 a when four letters picked without replacement from aaeexxaaeaxaxxxxexae?
112/969
Three letters picked without replacement from cccccwccccwc. Give prob of picking 1 w and 2 c.
9/22
Calculate prob of picking 1 a and 2 v when three letters picked without replacement from {s: 3, a: 2, v: 4}.
1/7
Two letters picked without replacement from wpwwwp. Give prob of picking 1 w and 1 p.
8/15
Three letters picked without replacement from {m: 11, n: 2, x: 1}. Give prob of picking 2 m and 1 x.
55/364
Two letters picked without replacement from {n: 4, w: 2}. What is prob of picking 2 n?
2/5
Three letters picked without replacement from iiiivvv. What is prob of picking 2 v and 1 i?
12/35
Three letters picked without replacement from {h: 5, x: 7, t: 8}. Give prob of picking 1 t and 2 x.
14/95
Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {s: 2, k: 11, r: 1}.
22/91
Two letters picked without replacement from rkrrkrrrkkrrkrrr. What is prob of picking 1 r and 1 k?
11/24
Four letters picked without replacement from dweiweeiwwl. Give prob of picking 1 l and 3 w.
2/165
Two letters picked without replacement from tkttkty. What is prob of picking 2 t?
2/7
Two letters picked without replacement from {a: 4, b: 7, k: 5}. Give prob of picking 1 b and 1 k.
7/24
Three letters picked without replacement from {l: 1, x: 10, h: 1, d: 2, f: 5, q: 1}. Give prob of picking 2 d and 1 q.
1/1140
Two letters picked without replacement from {u: 1, a: 1, o: 2, e: 1, q: 1, k: 1}. Give prob of picking 1 u and 1 o.
2/21
Three letters picked without replacement from {h: 1, n: 1, w: 2, f: 5}. What is prob of picking 2 n and 1 f?
0
Calculate prob of picking 1 n and 1 o when two letters picked without replacement from nooo.
1/2
Two letters picked without replacement from {q: 2, y: 5, b: 5}. What is prob of picking 1 y and 1 q?
5/33
What is prob of picking 1 f, 2 u, and 1 l when four letters picked without replacement from ufufulf?
9/35
What is prob of picking 2 q and 2 r when four letters picked without replacement from {r: 14, q: 5}?
455/1938
Calculate prob of picking 2 l when two letters picked without replacement from oloooolo.
1/28
Three letters picked without replacement from {c: 13, f: 3}. Give prob of picking 3 c.
143/280
What is prob of picking 1 w and 1 b when two letters picked without replacement from {x: 4, b: 1, w: 5, k: 1}?
1/11
Four letters picked without replacement from babbbaabbabbabababb. Give prob of picking 4 b.
165/1292
What is prob of picking 3 v when three letters picked without replacement from vvqwveevqqevtqte?
1/56
Three letters picked without replacement from yysmllsysvs. What is prob of picking 2 l and 1 s?
4/165
Calculate prob of picking 2 u when two letters picked without replacement from btbttttbbttuttttbb.
0
Four letters picked without replacement from {n: 1, o: 6, w: 2, | {
"pile_set_name": "DM Mathematics"
} |
0013
Let j = 1368.999634 - 1369. What is j rounded to five decimal places?
-0.00037
Let p be (-4)/7 + 45057/21. Suppose -36855 - p = -f. What is f rounded to the nearest 10000?
40000
Suppose 2*s + 6 = -12. Let c = -8 - s. Let p be c/(-1 + 84/87). What is p rounded to the nearest ten?
-30
Let k = -8.83 + -0.17. Let i = -8.9999967 - k. What is i rounded to 6 dps?
0.000003
Suppose -4*n - 5 = 11. Let j be 3900*(0 + n/8). Let w be (j/35)/(1/(-7)). Round w to the nearest one hundred.
400
Let u = -58 - -47. Let c = -46 - u. What is c rounded to the nearest 10?
-40
Suppose 7*j - 1047 = -4330. Round j to the nearest one hundred.
-500
Let d = -7 - -13. Suppose -4*o + 44 = -4*j, -3 = -2*o - 3*j - d. Suppose o*l = 10*l + 336000. Round l to the nearest 10000.
-80000
Let i = 10.747 + 3.316. Let w = 54 + -40. Let l = i - w. What is l rounded to two dps?
0.06
Let k = 15463.9700006 - 15484.97. Let n = k + 21. Round n to seven decimal places.
0.0000006
Let v(r) be the first derivative of -321/4*r**4 - 6 - r - 1/3*r**3 + 3/2*r**2. Let x be v(1). What is x rounded to the nearest one hundred?
-300
Let w = -2914681 - -1758415. Let q = -821266 - w. What is q rounded to the nearest ten thousand?
340000
Let g be 40/(-1 + (0 - -3)). Let y = 14 - g. Let r be (0 - 100)*(-25800)/y. What is r rounded to the nearest one hundred thousand?
-400000
Let t be (-9268783)/(-9) - (-32)/144. Let j = 34429865 - t. What is j rounded to the nearest 1000000?
33000000
Suppose -3*d = -2*q + 367, -2*d + 4*q - 234 = -0*d. Let x be d/(((-1)/(-196) + 0)/(-1)). Round x to the nearest ten thousand.
20000
Let n = 300588 - 181813. Suppose -148480 = 5*v - 4*j, -4*v + 3*j + 2*j = n. Round v to the nearest 1000.
-30000
Let i = -3.89 + 3.89413. Round i to 4 decimal places.
0.0041
Let l = 1.9700789 + -1.97. What is l rounded to five decimal places?
0.00008
Let j = 17.39 + -17.553. Round j to one decimal place.
-0.2
Let l = 46 + -46.0064. What is l rounded to two dps?
-0.01
Suppose -35871887 = 50*g + 1678113. Round g to the nearest ten thousand.
-750000
Let n = -0.1377 - 6.1323. Round n to the nearest integer.
-6
Let d = 18.2 - 18.20000635. What is d rounded to 7 decimal places?
-0.0000064
Suppose 0 = w + 2*w + 6. Let t be w/(-7) - (-9814)/(-49). What is t rounded to the nearest one hundred?
-200
Let c(u) = 903*u**3 + 13*u**2 + 14*u - 10. Let d be c(-7). Round d to the nearest one hundred thousand.
-300000
Let v = -2392 + 2016.6. Round v to the nearest 10.
-380
Let v = 10576286 + -10576174.000035. Let q = 112 - v. What is q rounded to 5 dps?
0.00004
Let n = -0.15 + -0.06. Let a = 1889.2037 - 1889. Let q = a + n. What is q rounded to 3 dps?
-0.006
Let r = -0.6542 - 0.2666. What is r rounded to one decimal place?
-0.9
Let v = -597 - -596.98114. What is v rounded to 3 decimal places?
-0.019
Let o = 1.49758389 + -1.6505858. Let r = o + 0.153. What is r rounded to seven decimal places?
-0.0000019
Let v = 0.5 + -0.38. Let y = 0.6 - v. Let s = 0.479847 - y. What is s rounded to 5 dps?
-0.00015
Let d = -99426501256201.5999989 + 99426492898700. Let g = 8357499 + d. Let b = g + 2.6. Round b to 6 dps.
0.000001
Let b = -2 + 1.975. Let a = b - -1.425. Round a to the nearest integer.
1
Suppose w - g + 1944 = 6*w, -3*g = 2*w - 788. Suppose s = d + 5*s - w, -5*d + 2*s = -2006. What is d rounded to the nearest 1000?
0
Let n = 3.66 - 0.16. Let u = -6 - n. What is u rounded to the nearest integer?
-10
Let v = 2.072 - 2. Let u = v + -0.692. Let i = u + 0.649. Round i to 2 dps.
0.03
Let y = -212292.89879 - 4.10121. Let g = y + 212319.9983. Let i = g + -23. What is i rounded to 3 dps?
-0.002
Let f = 2.44 - 2.1995. Let x = 0.0215 - f. What is x rounded to 2 decimal places?
-0.22
Let d = 326.2 - 326.1993295. What is d rounded to 5 dps?
0.00067
Suppose 1159244 = 4*x + 4*n, -3*x + 17923 = 5*n - 851504. Let k be (-4)/18 + x/63. Round k to the nearest one thousand.
5000
Let i = -2137076.8 + 6526638. Let a = i - 4389563.19999972. Let g = a - -2. Round g to seven decimal places.
0.0000003
Let b = 21 - 21.5. Let s = -1.4 + b. Let u = s + 1.90026. Round u to four dps.
0.0003
Let r be (-18)/45 - 22/(-5). Suppose -j + 31799990 = -y + r*j, 8 = -4*j. What is y rounded to the nearest one million?
-32000000
Let d = -0.65 - -0.46. Let i = d - -0.1900005. What is i rounded to 6 dps?
0.000001
Let m = 36 + 106. Let u = m + -141.11. Let k = u + -21.39. Round k to zero decimal places.
-21
Let f = -4673364 - 12726636. Round f to the nearest 1000000.
-17000000
Let r = -187.61 - -196.1. Let v = 2.3 - -6.7. Let d = r - v. What is d rounded to one dp?
-0.5
Let y = 14.98 + -24.898. Let d = 0.232 - y. Round d to the nearest integer.
10
Let t = -50006 - -50005.99900073. Let v = 0.001 + t. Round v to seven dps.
0.0000007
Let a = 233924766.8 + -233924603.6000699. Let u = a - 163.2. Round u to 5 decimal places.
-0.00007
Let x(o) = 252*o**3 + 3*o**2 - 4*o + 2. Let z be x(1). Suppose -z = 6*g + 3137. What is g rounded to the nearest 100?
-600
Let a = -501 - -501.0413. Let f = -54.0587 - -51.61. Let g = a - f. What is g rounded to one dp?
2.5
Let t = -94 - -94.0023. What is t rounded to three decimal places?
0.002
Let r = 10415513 + -6802513. What is r rounded to the nearest one hundred thousand?
3600000
Let u = -6 - -6.1. Let x = -0.100045 + u. What is x rounded to 5 dps?
-0.00005
Suppose -3*h = j - 4*h, -4*j - 2*h = -30. Suppose w - j*w = 0, 3*g = -4*w - 31539. Let u = 6613 + g. Round u to the nearest 1000.
-4000
Let c be (-2 - (-55494)/(-15))/((-3)/(-75)). Round c to the nearest 1000.
-93000
Let d = -0.094045 - 145.088955. Let n = -145 - d. Let m = 0.18300226 - n. What is m rounded to seven dps?
0.0000023
Let q = -6908 - -6907.999991467. Round q to six dps.
-0.000009
Let u = 14.6 + -14.600532. What is u rounded to 4 decimal places?
-0.0005
Let m = -28 - -37. Suppose -m*a = -4*a + 5. Let n be -5599995 + -7 + 3 + a. What is n rounded to the nearest one million?
-6000000
Let x = 308.999936 + -309. What is x rounded to six decimal places?
-0.000064
Let f = -42 - -82. Let w = -16763 + 16803.027. Let g = w - f. What is g rounded to two dps?
0.03
Let u = 116.033 - 76.162. Let v = -40 + u. What is v rounded to 2 decimal places?
-0.13
Suppose -5*u + 16 = -5*t - 14, 3*t = -9. Let c be (25/((-1125)/17874))/(u/(-250)). Round c to the nearest 10000.
30000
Let d(o) be the first derivative of -577*o**3 + o - 4. Let j be d(-1). Round j to the nearest one hundred.
-1700
Let y = 255.5 + -255.499997346. What is y rounded to seven decimal places?
0.0000027
Suppose 5*m - 2*c - 57 = c, -11 = -m + c. Let d be 7/14 + 1317/m*2. What is d rounded to the nearest one hundred?
200
Let x = -4394 - -23580. Let g = x + -10286. Round g to the nearest one thousand.
9000
Let j = -90.4 - -93. What is j rounded to the nearest integer?
3
Let z = -34.3 + 34. Let r = 42356 - 42355.7000016. Let t = r + z. Round t to 6 dps.
-0.000002
Let z = 1.1 - -204.9. Let r = z - 205.807. What is r rounded to two decimal places?
0.19
Let y = -0.79 + 1.54. Let u = -0.750015 + y. What is u rounded to 5 decimal places?
-0.00002
Let v = -7.201 + 7.2. Let x = v - -0.231. What is x rounded to 1 dp?
0.2
Let v = 559.556 + 0.444. Let l = -503.3 + v. What is l rounded to the nearest ten?
60
Let s = 510436.0118 - 104.0118. Let v = s - 510347.9999968. Let q = 16 + v. Round q to six dps.
0.000003
Let v = -122.4 + 139. Let b = 14 - v. Let q = b + 1.7. Round q to the nearest integer.
-1
Let r = 4811 - 4810.995282. Round r to 4 decimal places.
0.0047
Suppose -151652 = p + 130707. Let g = -113359 - p. What is g rounded to the nearest 10000?
170000
Let d = -3725.9385 - -3050.152. Let q = 676.8864994 + d. Let m = 1.1 - q. What is m rounded to seven dps?
0.0000006
Suppose -3*s - 8 - 4 = 0. Let i(t) = 157*t**3 + t**2 - 9*t - 4. Let r be i(s). What is r rounded to the nearest 10000?
-10000
Let g be (6 - 2) + -1 + 0. Suppose -4*v = -4*m - 23072, -g*m = -7*m - v - 23082. Round m to the nearest one thousand.
-6000
Let y = -105.871 + 106. Let h = y + -13.229. Let w = 13.10059 + h. Round w to 4 decimal places.
0.0006
Let c = -1.02 + 4.193. Round c to 1 dp.
3.2
Suppose 0 = 4*f - 2*k + 38, -68 = 4*f + 5*k - k. Let l = f + 10. Let u be -416*(l - (-1246)/(-2)). Round u to the nearest 100000.
300000
Let g(o) = o**2 - 11*o - 7. Let x be | {
"pile_set_name": "DM Mathematics"
} |
itres to millilitres.
2282829
Convert 99513.5l to millilitres.
99513500
What is 8.183167mm in nanometers?
8183167
How many months are there in one tenth of a millennium?
1200
How many decades are there in six fifths of a millennium?
120
What is 3/10 of a kilometer in centimeters?
30000
What is three fifths of a litre in millilitres?
600
How many nanometers are there in 9/10 of a micrometer?
900
How many milliseconds are there in twenty-seven quarters of a second?
6750
What is 677.7575 years in months?
8133.09
How many centuries are there in one fifth of a millennium?
2
How many months are there in 362.868 years?
4354.416
Convert 0.7439606 millilitres to litres.
0.0007439606
How many milligrams are there in seventy-seven halves of a gram?
38500
What is 17/4 of a century in years?
425
Convert 86133.14 meters to kilometers.
86.13314
What is 11/2 of a millimeter in micrometers?
5500
Convert 7.476946l to millilitres.
7476.946
What is 94313.19 days in milliseconds?
8148659616000
How many micrograms are there in three tenths of a milligram?
300
How many millilitres are there in thirteen eighths of a litre?
1625
What is fifty-three fifths of a microgram in nanograms?
10600
Convert 0.9814635 centuries to decades.
9.814635
How many milliseconds are there in 8.90534 nanoseconds?
0.00000890534
What is 0.5155236 decades in months?
61.862832
What is 2/125 of a millimeter in micrometers?
16
What is 27/5 of a milligram in micrograms?
5400
What is 865.237 nanograms in grams?
0.000000865237
What is 928.5572 centuries in decades?
9285.572
How many millilitres are there in thirty-one halves of a litre?
15500
Convert 7517.432km to nanometers.
7517432000000000
How many millennia are there in 408544.7 decades?
4085.447
How many millimeters are there in seven eighths of a meter?
875
Convert 600.19um to centimeters.
0.060019
What is eight sevenths of a week in minutes?
11520
How many minutes are there in 46/5 of a week?
92736
Convert 7577.745 tonnes to grams.
7577745000
How many hours are there in 7.9766568 seconds?
0.002215738
What is 17/4 of a millimeter in micrometers?
4250
How many kilometers are there in 61405.29cm?
0.6140529
How many years are there in 3/8 of a millennium?
375
How many milligrams are there in 45/4 of a gram?
11250
Convert 0.3909078m to kilometers.
0.0003909078
What is 3/25 of a gram in milligrams?
120
How many milligrams are there in 1/20 of a gram?
50
How many grams are there in 0.2285149ug?
0.0000002285149
How many litres are there in 2692.246ml?
2.692246
How many months are there in one fifth of a century?
240
What is 17887.11 kilograms in nanograms?
17887110000000000
How many meters are there in 7511.276 centimeters?
75.11276
How many grams are there in 31/5 of a kilogram?
6200
How many meters are there in fifty-one halves of a kilometer?
25500
How many nanograms are there in 1/4 of a microgram?
250
How many grams are there in fifty-one quarters of a kilogram?
12750
Convert 89.43666 grams to milligrams.
89436.66
How many decades are there in twenty-seven fifths of a millennium?
540
How many kilograms are there in 0.5269168 nanograms?
0.0000000000005269168
How many millilitres are there in 27/5 of a litre?
5400
What is 2/15 of a millennium in months?
1600
What is one sixteenth of a kilogram in milligrams?
62500
What is 4.9727475 minutes in weeks?
0.000493328125
How many millimeters are there in 3/8 of a meter?
375
What is 45/8 of a litre in millilitres?
5625
What is 159.2629um in millimeters?
0.1592629
How many litres are there in 4.977849 millilitres?
0.004977849
What is 29294.61 millennia in months?
351535320
How many millilitres are there in 84080.3l?
84080300
How many months are there in 3/25 of a century?
144
What is three fifths of a millimeter in micrometers?
600
Convert 2945.842km to centimeters.
294584200
What is 13/5 of a litre in millilitres?
2600
How many kilograms are there in 0.8204885ug?
0.0000000008204885
How many litres are there in 428126.6ml?
428.1266
How many nanograms are there in 125.2355g?
125235500000
What is one tenth of a kilometer in millimeters?
100000
How many litres are there in 60.92968 millilitres?
0.06092968
How many meters are there in sixty-four fifths of a kilometer?
12800
What is 14.321t in milligrams?
14321000000
How many millilitres are there in 8.044861l?
8044.861
How many hours are there in 37/2 of a week?
3108
What is seven halves of a centimeter in micrometers?
35000
How many hours are there in 7/3 of a day?
56
How many nanometers are there in seven quarters of a micrometer?
1750
Convert 6212.448cm to nanometers.
62124480000
How many millilitres are there in seventy-two fifths of a litre?
14400
How many millilitres are there in 44/5 of a litre?
8800
What is thirty-one halves of a millennium in decades?
1550
Convert 9.017385t to micrograms.
9017385000000
Convert 5.88507 years to millennia.
0.00588507
Convert 0.650914 days to milliseconds.
56238969.6
Convert 93.23982 hours to nanoseconds.
335663352000000
How many months are there in twenty-seven quarters of a millennium?
81000
How many months are there in 0.013352 millennia?
160.224
What is 17/2 of a gram in milligrams?
8500
What is one fifth of a meter in millimeters?
200
What is 0.6718306 centuries in months?
806.19672
What is 3/40 of a microsecond in nanoseconds?
75
How many kilograms are there in 848.171 micrograms?
0.000000848171
Convert 81.4873 weeks to days.
570.4111
How many centuries are there in 5.705054 millennia?
57.05054
What is fifty-nine quarters of a gram in milligrams?
14750
What is 615.7735 years in centuries?
6.157735
How many minutes are there in 152481.4 weeks?
1537012512
How many years are there in three tenths of a century?
30
What is one quarter of a litre in millilitres?
250
Convert 389.8275 centuries to decades.
3898.275
Convert 42.3985g to nanograms.
42398500000
How many millennia are there in 122231.7 centuries?
12223.17
How many millilitres are there in 14.27871 litres?
14278.71
What is 180946.9 grams in micrograms?
180946900000
What is 11/4 of a centimeter in micrometers?
27500
How many years are there in 21/8 of a millennium?
2625
How many years are there in seventeen halves of a millennium?
8500
Convert 690.0448 minutes to milliseconds.
41402688
How many millilitres are there in eleven halves of a litre?
5500
What is 7.699296ug in nanograms?
7699.296
What is 3/25 of a kilogram in grams?
120
What is 1.3225674 months in years?
0.11021395
What is 5.306575 weeks in seconds?
3209416.56
What is 67.44408 weeks in minutes?
679836.3264
Convert 13.08687 minutes to nanoseconds.
785212200000
Convert 970439.8 millimeters to nanometers.
970439800000
How many micrometers are there in 599450.1mm?
599450100
Convert 879.5856 kilograms to grams.
879585.6
How many milliseconds are there in 5/4 of a second?
1250
Convert 651998.4 minutes to microseconds.
39119904000000
How many grams are there in 3/8 of a kilogram?
375
How many minutes are there in five sixths of a hour?
50
What is 46/5 of a kilometer in meters?
9200
How many litres are there in 0.929712 millilitres?
0.000929712
What is 3/25 of a litre in millilitres?
120
What is one twentieth of a milligram in nanograms?
50000
Convert 369.811 litres to millilitres.
369811
Convert 532960.5 millimeters to nanometers.
532960500000
Convert 55949.98 hours to milliseconds.
201419928000
What is twenty-one quarters of a tonne in kilograms?
5250
How many kilograms are there in eleven quarters of a tonne?
2750
Convert 83.07855 decades to centuries.
8.307855
Convert 4275.116 milliseconds to nanoseconds.
4275116000
Convert 510803.5 millennia to years.
510803500
Convert 45.26366ml to litres.
0.04526366
What is eleven halves of a litre in millilitres?
5500
What is thirteen quarters of a millennium in months?
39000
What is 364.1983 days in hours?
8740.7592
What is 73/5 of a gram in milligrams?
14600
How many milligrams are there in 5/4 of a gram?
1250
What is 3/5 of a litre in millilitres?
600
What is five sixths of a millennium in months?
10000
How many micrograms are there in 12/25 of a milligram?
480
What is 0.8337571mg in micrograms?
833.7571
How many tonnes are there in 19.69058ng?
0.00000000000001969058
Convert 65.18106t to milligrams.
65181060000
What is 57.733 meters in micrometers?
57733000
W | {
"pile_set_name": "DM Mathematics"
} |
7. Solve -4*q - 4*m = -20, -3*q + 13 = -5*m - k for q.
5
Suppose 0 = 5*y - 3 + 23. Suppose -39*v + 12*v - 81 = 0. Let h be (-6)/y*(-4)/v. Solve 0 = -3*q + h*q + 5*l + 19, 11 = q - 3*l for q.
-1
Suppose 5*s - 22 = -x, 3*s + 28 = 4*x + 8*s. Solve 0 = -x*t + 8, 0 = -4*b + 5*t - 29 - 3 for b.
-3
Suppose -24*s + 39 = -33. Solve 0 = -s*q + v + 2, 9*q - 6*q + 23 = -4*v for q.
-1
Suppose 0 = 3*i - 5*v - 12, v - 2*v = 0. Let o = -10 + 17. Suppose -3*l = -3*j + 2*j - o, 0 = l + 4*j + 2. Solve -6 = -4*g + l*c, -i = 4*g + c - 1 for g.
0
Suppose 3*q - 4*b = -40, q + 3*b + b + 24 = 0. Let d(j) = 4*j - 4. Let u be d(-3). Let s = u - q. Solve -17 = -5*i + 2*c, 0 = i + 2*c - s - 1 for i.
3
Let c = -48 - -73. Let q = c - 16. Solve 4*w = -x + 1 + 2, -3*x - 2*w + q = 0 for x.
3
Let p be 0*((-12)/(-8) - 2). Solve 4*u - 3*t + 9 = p, -4*u + t + 9 - 20 = 0 for u.
-3
Suppose -3*c + 4*p = -18, -4*c + 10 = -5*c - 4*p. Solve 4*g - 1 = 5*v, 0*v + c*v + 3*g - 18 = 0 for v.
3
Suppose 0 = 9*o - 8*o + 168. Let d be ((-1)/2)/((-329)/o + -2). Solve 2*x = -x - 3*w + 9, 3*w = d for x.
-1
Let y be ((-33)/9)/(1/9). Let n = -2 + y. Let h = n - -58. Solve -m - 3*m = -c - 1, 3*m = -4*c - h for c.
-5
Suppose -2*y - 5*z - 130 = -0*y, 2*y + 2*z = -136. Let v be 23/5 + 42/y. Solve 3*m = v*k - m - 20, 0 = 3*k - 4*m - 17 for k.
3
Let y = 2670 + -2664. Solve 7*a + 17 = -5*m + y*a, -m + 3*a = 13 for m.
-4
Suppose -24 = 6*u - 14*u. Suppose 5*p = 3*x - 61, -x - 24 = -2*x - 2*p. Solve 3 = -5*t - x, -5 = u*y + t for y.
0
Let d(k) = k**2 + 5 - 6*k + 9*k + 7*k. Let t(c) = -10*c**2 + 26*c + 2. Let u be t(3). Let h be d(u). Solve -13 = 5*b - o, o = -b + h*b + 11 for b.
-2
Let d = 66 - 63. Suppose -d*z - 3 = 5*c, c = -z - 3*z + 13. Solve -3*j + 0*r - 1 = 2*r, z*j + 7 = 3*r for j.
-1
Let l = -239 - -241. Solve l*y = -10, 0*v + 2*v + 2*y = 0 for v.
5
Let m be 2/6 - ((-320)/12)/4. Suppose 0 = -3*v - m + 13. Solve -5*g + t = -3*t + 5, 0 = -v*t for g.
-1
Let x(h) = h**2 + 21*h + 88. Let u be x(-16). Solve -7*a + 4 = -4*r - 6*a, -2*r = 2*a - u for r.
0
Let q = -29 - -29. Suppose 16 = -0*r - 2*r - 2*u, 5*r - u + 34 = q. Let b(s) = s + 9. Let w be b(r). Solve 0 = -w*o + 4*x - 4, -26 = -5*x - 11 for o.
4
Suppose 0*v - 37 = -3*u - 2*v, -v + 5 = 0. Let g be 18/u + ((-6)/(-2) - 0). Solve 28 = 4*c - 4*j, -4*j + 3*j - 19 = -g*c for c.
3
Let d(i) = -i**3 - 14*i**2 - 13*i. Let u be d(-13). Suppose -4*f + 12 = -4*g, u*g = 4*g + 4. Solve -2*n - f = -3*j, 4*j - 10 = -2 for n.
2
Let q = 71 + -69. Suppose 3 = -2*k + 7. Let t be (-1)/(((-2)/k)/2). Solve q*j = 8, -2*j = t*y - 6*y + 12 for y.
5
Let y(c) = -8*c**2 - 7*c - 8 + 8*c**2 + c**2. Let u be y(8). Solve d + d - 13 = 5*l, u = l - 3*d for l.
-3
Let o be (18/(-27) + (-8)/12)*-18. Solve -8 = -y + 2*d, -4*d = -3*y + o - 6 for y.
2
Let p(w) = 2*w - 4. Let n be p(5). Suppose 21 = -n*f + 129. Let k be 64/6 - f/27. Solve 2*u + 0*u - 4*h + k = 0, 2*h + 4 = -2*u for u.
-3
Let h be (2 - 6 - -3)*-8. Suppose -h*w + 37 + 3 = 0. Solve 4*r - 2*s + 18 = 0, 3*r + 0*r + w*s + 20 = 0 for r.
-5
Let j = -2335 - -2337. Solve 0 = -3*z - 3, j*w = z - 0*z - 7 for w.
-4
Let n(l) = -2*l - 2. Let z be n(4). Let k = z + 14. Solve -4*a = 2*s + 26, s = k*a + 1 + 16 for s.
-3
Let x(y) be the second derivative of -1/12*y**4 + 1/5*y**5 - 1/2*y**2 + 4*y + 1/3*y**3 + 0. Let p be x(1). Solve 5*m + p*t = 22, -3*m - t + 12 = t for m.
2
Suppose 12*v = 30*v - 450. Solve 0*f + 29 = f + 5*y, 0 = 5*y - v for f.
4
Suppose 3*h = 5*f - 15, 5*f - 2*f = -5*h + 9. Solve 3*p + 2 = -q - 2*p, 4*q + 2*p - 10 = h for q.
3
Let a = 788 + -788. Solve 5*c - 2*k - 21 = -a*k, 3 = 5*c + 4*k for c.
3
Suppose 289 = -4*j + 89. Let s = -28 - j. Solve 4*g - s = 2*h, -4*g - 5*h + 8 = -7 for g.
5
Let p(k) = 2*k**3 + 14*k**2 + 17*k + 123. Let j be p(-7). Solve 7 = -3*t - s, 4*t + j*s = t - 10 for t.
-2
Suppose -3*s + l = -1 + 5, -2*s - 3*l + 12 = 0. Let y = -29 - -34. Suppose 3*c + y = 17. Solve s = -5*t + c*u - 32, -3*u = -t - 2*u - 7 for t.
-4
Let i(l) = -l**3 - 15*l**2 - 15*l - 15. Let m be i(-14). Let k be 0 - (m + 2 - -1). Let s be (k + -1 - -7) + -1. Solve 1 - 3 = 4*y + s*p, -2*y - p = 0 for y.
1
Suppose -239 = -3*p - 77. Let o = -38 + p. Let j be (30/20)/(6/o). Solve -j*v + 6 = 3*u, -5*v - 5 = 4*u - 13 for v.
0
Suppose -g - 2*o - 11 = 2*o, -o - 1 = 2*g. Let c = -129 - -131. Solve z + 0*y - y = c, 3*y = -2*z - g for z.
1
Suppose 0 = y + 5*v - 6, 3*v = -y + 2 + 2. Let o be 4 + -9 + 6 + (3 - y). Solve -4*d = -o*d - 2, -4*m + 2 = -5*d for m.
3
Suppose b - m = 17, 5*m + 4 = -6. Solve 0 = -5*u - 0*u - b, 4*n = -2*u + 6 for n.
3
Suppose 4*g - 8 = 5*m, 2*g + m - 2 = g. Let y be (3/g)/(2 + (-15)/10). Solve 0 = -0*l + l + f - 2, 0 = -3*f - y for l.
3
Suppose 4*l - 7*l + 15 = 0. Suppose -4*d = n + 2*n - 40, 2*d - 90 = -l*n. Solve 5*x + 28 = -2*u, -n = 3*u + 2*u for x.
-4
Let w be 8/6*18/(-24)*-2. Let s(q) = -q**2 - 3*q + 12. Let l be s(w). Let v(r) = r**2 + r. Let o be v(-2). Solve o = l*x + g - 8, 3*g = 12 for x.
3
Let j = 12 - 11. Suppose 4*l + j = 17. Let s = l + -4. Solve -2*y - 2 + 0 = s, -5*y + 7 = -3*c for c.
-4
Let k = 6 + -6. Let c = k - 18. Let q be (-1)/(-2 + (-34)/c). Solve -n + 5*i = -18, -6*n + n + q = 2*i for n.
3
Suppose 3*q - 3 = 3*b, q + 4*b = -7 + 3. Let o = -12 - -12. Suppose o = 4*a - 12 - q. Solve 0 = -a*r - 15, -21 + 1 = 3*s + r for s.
-5
Suppose -h + 19 = k + 7, 3*k - 2*h = 16. Solve -u = -2*t + 5, k - 23 = -4*t + 3*u for t.
0
Let y(d) = -d - 9. Let f be y(-6). Let c = -9 - f. Let g = -3 - c. Solve 2*x + 17 = 5*n, 0 = 5*n + 2*x + g*x - 45 for n.
5
Let x(h) = 3*h**2 + h - 2. Let j be x(1). Solve -3*n - j*n - 2*v - 4 = 0, n - v = -5 for n.
-2
Suppose 0 = -13*s + 14*s + 10. Let l(j) be the first derivative of j**2/2 + 10*j - 1. Let m be l(s). Solve m = 4*n + 2*u + 6, 4*u = -4*n - 3 - 1 for n.
-2
Suppose -3*f = -2*z - 87, -3*z + 0*f - 98 = 2*f. Let y = z + 44. Solve 4*x = -o + 13, -2 - y = -5*x for o.
5
Suppose -20 = -1299*k + 1289*k. Solve -k*c = -p + 10, 0 = 3*p - 2*p - 2 for c.
-4
Suppose 4*j = 6*j - 8. Suppose r = -0*r + j*p + 32, r - 38 = p. Solve 3*i = 4*b - 0 + 4, -5*i = 5*b + r for i.
-4
Let t = 18 - -2. Suppose 6*z - 10*z + t = 0. Solve -z*m + 2*u = -2*u + 9, -5*u = m - 4 for m.
-1
Let r(a) = a + 2. Let u be r(2). Let s be 2/3 - u/6. Suppose -2*q = 2*g - 10, 2*g + 7 = -3*g + 3*q. Solve -5 = w - g, -4*i - 4*w - 36 = s for i.
-5
Suppose 6*z = 56 - 20. Let h = 1 - 1. Let x = 0 + h. Solve x = 2*r - 0*r + z, 2*q = -r - 3 for q.
0
Let b = -240 - -161. Let v = 81 + b. Solve 2*t - 4*c = -8*c - v, -8 = 4*c for t.
3
Suppose 17 = 4*n + 3*o, 5*n + o = 10 + 14. Suppose 3*p + n*l = 25, 3*l - 6 = -2*p + 10. Solve 0*t = 4*i - t, p*i = -2*t for i.
0
Suppose 2 = -3*l + 17. Suppose -10 = -5*k, 4*k = l*n - 17 - 10. Let a(d) = d**2 - 26*d + 147. Let g be a(7). Solve 2*v = 3*u + u + g, u = -3*v - n for v.
-1
Suppose 220 = -172*d + 216*d. Solve -d*v + 3*b - 29 = 0, -4*b - b - 1 = 4*v for v.
-4
Suppose -4*o - 85*n + 82*n = -74, o - 19 = -n. Solve -5*w = d - 2*d - 23, -5*w - d + o = 0 for w.
4
Suppose 0 = s - i + 31, 0 = -4*s - 2*i - 0*i - 118. Let z = 32 + s. Solve 3*o - n + 3 = -6*n, 2*o + z*n - 2 = 0 for o.
4
Let g be -2 - -3*(-15)/9. Let b = g + 12. Suppose b*n + 3 - 18 = -5*v, -4*n - 4 = -4*v. Solve -4*u + 5*i = -21, 4*u - 5 = -u + v*i for u.
-1
Let r be (12/10)/(10/25). Let j = 6 + -7. Let h be 1*(0 - j - -22). Solve -5*d = 3*u - 32, -h = -u - 4*d - r for u.
4
Let k = 32 + -26. Suppose -p - k = -11. Solve 30 = -p*a + q, 0*a - 5*a = -3*q + 40 for a.
-5
Suppose 2*a - 3 - 69 = 0. Suppose 3*t + t + a = 4*g, -2*t - 30 = -3*g. Solve 19 = -4*o + 5*q, 3*o - g = -6*q + q for o.
-1
Let h(q) = -q**3 + 9*q**2 + 39*q - 36. Let g be h(12). Solve -t + l + 10 = g, -7 - 13 = 4*l for t.
5
Let s be (-2)/(4/(-10) - 0). Suppose -3*g = -4*m - 626, 814 = 5*g + m - 214. Let c = g + -204. Solve 5*a = s, -5 = -3*r + c*a - 1 for r.
2
Suppose -58 = -21*j - 58. Solve a = -3*d + 14, -3*a + 2*d + j*d = 13 for a.
-1
Let j = -203 + 208. Solve -g - 3 = f, f + 3*f + 10 = -j*g for f.
-5
Let r(q) = 2*q - 2. Let l be r(3). Solve -2*c - 1 = -n - 0, -l = 2*c - 2*n for c.
1
Let f(r) = -5 - 203*r**2 + 202*r**2 - 13*r - 3. Let l be f(-12). Solve -l*g + 21 - 1 = -2*k, 2*g - 10 = 3*k for k.
0
Let r(s) = -s**3 + 7*s**2 - 3*s - 18. Let z be r(6). Let p be ((-2)/(-6))/(1/12) | {
"pile_set_name": "DM Mathematics"
} |
smallest common multiple of 11 and 52694023.
579634253
Find the common denominator of 37/18543707 and -46/4162873.
203980777
Find the common denominator of 51/52096 and 127/478632.
7658112
What is the least common multiple of 1128288 and 102?
19180896
What is the least common multiple of 7627270 and 1743376?
61018160
Calculate the least common multiple of 2 and 120515079.
241030158
Calculate the smallest common multiple of 1253585 and 867395.
354764555
Calculate the common denominator of 77/7051192 and 103/22.
77563112
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122379600
Calculate the common denominator of 193/221430 and 203/6145590.
374880990
Calculate the least common multiple of 3436000 and 68720.
3436000
Calculate the lowest common multiple of 44874 and 3689640.
33206760
Find the common denominator of 43/3930316 and 89/755830.
19651580
Calculate the least common multiple of 27627 and 11889.
109485801
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32402776
Find the common denominator of -23/138681 and 93/2066.
286514946
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22334880
Calculate the common denominator of 7/224019804 and 25/43231892.
2464217844
Calculate the smallest common multiple of 18 and 4147948.
37331532
Calculate the smallest common multiple of 15700 and 912485.
2865202900
What is the common denominator of -53/600 and -149/1566048?
39151200
Find the common denominator of 59/25200 and -29/1241100.
4964400
Calculate the smallest common multiple of 2560370 and 90366.
7681110
Calculate the common denominator of -19/196 and -53/3920.
3920
What is the common denominator of -25/152160162 and -3/16940?
1521601620
Calculate the common denominator of -67/405 and 33/9733.
3941865
Calculate the lowest common multiple of 383238 and 4077.
383238
What is the lowest common multiple of 4778 and 21338?
50976482
Find the common denominator of -61/6744 and 27/69832.
58868376
Calculate the common denominator of -29/65 and -14/906711.
4533555
Calculate the least common multiple of 1709082 and 17280718.
155526462
What is the least common multiple of 88661904 and 14?
620633328
What is the common denominator of 139/22209726 and 53/9518454?
66629178
What is the least common multiple of 669102 and 9240?
147202440
Calculate the common denominator of 79/13040 and 1/208600.
68003600
Calculate the lowest common multiple of 9 and 19788965.
178100685
Calculate the smallest common multiple of 76616568 and 1456.
1992030768
What is the smallest common multiple of 639540 and 5852?
4476780
Calculate the common denominator of 81/1494500 and -117/1420.
106109500
Calculate the common denominator of 38/10259541 and 59/95904405.
2205801315
What is the lowest common multiple of 2604210 and 5729262?
28646310
Calculate the common denominator of 13/16704 and 109/1100.
4593600
Find the common denominator of 31/6643876 and -85/172.
285686668
What is the common denominator of 117/230 and 123/3249710?
74743330
Calculate the common denominator of -23/22237258 and -9/19.
22237258
What is the lowest common multiple of 115995 and 3416580?
37582380
Find the common denominator of 23/20178 and -41/6020.
60735780
Find the common denominator of 80/687999 and 4/885.
3439995
Find the common denominator of -127/49142040 and -19/100.
245710200
Calculate the lowest common multiple of 92272 and 624.
3598608
Find the common denominator of -145/1631178 and 11/3262356.
3262356
Calculate the lowest common multiple of 13 and 137613.
1788969
Find the common denominator of 59/4 and 24/74976361.
299905444
Calculate the least common multiple of 63483142 and 30070962.
571348278
Find the common denominator of -49/183 and -77/15153045.
924335745
Calculate the lowest common multiple of 205200 and 31692.
28522800
Calculate the common denominator of 5/2449909 and 15/21603743.
237641173
What is the lowest common multiple of 291088 and 18193?
291088
What is the common denominator of -27/1492277 and 67/110779622?
1883253574
What is the smallest common multiple of 577070 and 8970?
1731210
Calculate the smallest common multiple of 10130 and 60745.
123069370
Calculate the common denominator of 62/2583 and -67/201474.
201474
Calculate the least common multiple of 87156208 and 21789052.
87156208
What is the common denominator of 121/20 and 109/111984?
559920
Find the common denominator of -71/156118184 and 61/17736.
468354552
What is the smallest common multiple of 21507 and 33550920?
33550920
What is the common denominator of -1/540 and 1/30961680?
278655120
Find the common denominator of -95/8698146 and 8/13047219.
26094438
Calculate the lowest common multiple of 12 and 313708.
941124
What is the common denominator of -67/62396703 and -46/57?
62396703
What is the common denominator of 137/5169516 and -43/1848?
72373224
Find the common denominator of 19/55 and -103/959426.
52768430
What is the smallest common multiple of 30 and 5312500?
15937500
Calculate the lowest common multiple of 54360 and 2694746.
485054280
What is the lowest common multiple of 3483930 and 8?
13935720
Calculate the common denominator of 44/271482625 and 29/31706.
542965250
What is the smallest common multiple of 981 and 79282458?
79282458
Calculate the lowest common multiple of 2806065 and 57912.
426521880
Calculate the lowest common multiple of 18 and 22905814.
206152326
Find the common denominator of 101/56076 and -131/728988.
728988
What is the least common multiple of 20 and 28758195?
115032780
Calculate the smallest common multiple of 90 and 4280700.
12842100
Find the common denominator of 25/13999414 and 89/88.
55997656
What is the common denominator of 187/878160 and -131/1260?
18441360
What is the least common multiple of 272 and 46699408?
46699408
What is the least common multiple of 322 and 642528?
4497696
Calculate the common denominator of 137/36845304 and -111/122817680.
368453040
What is the smallest common multiple of 2452288 and 32?
2452288
Calculate the common denominator of -17/354024 and 157/1848.
2478168
Calculate the smallest common multiple of 15808002 and 189.
142272018
Calculate the smallest common multiple of 5023864 and 1.
5023864
What is the lowest common multiple of 90 and 11570100?
34710300
Calculate the common denominator of -45/426998 and 57/3614.
59352722
What is the common denominator of -32/1271133 and 68/297?
13982463
Calculate the lowest common multiple of 91461 and 13198.
1207102278
What is the least common multiple of 4 and 131945312?
131945312
Calculate the lowest common multiple of 20286 and 157806.
177847362
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62110488
What is the least common multiple of 28 and 1160880?
1160880
Calculate the common denominator of 41/10 and -87/60974168.
304870840
What is the least common multiple of 3 and 172543500?
172543500
Find the common denominator of 47/7500 and -82/4185.
2092500
Calculate the common denominator of -109/6859884 and 17/6859884.
6859884
Calculate the common denominator of 1/1626135 and -81/127540.
6504540
Calculate the least common multiple of 292176 and 10907904.
32723712
What is the lowest common multiple of 7491 and 25722051?
282942561
Calculate the smallest common multiple of 21 and 270135.
1890945
Calculate the common denominator of -101/50244 and 25/3801796.
11405388
Find the common denominator of -69/16208596 and -137/2514.
48625788
What is the common denominator of 71/32735622 and 113/295248?
261884976
Calculate the lowest common multiple of 366 and 209331.
25538382
Calculate the common denominator of 149/82560 and 53/3279438.
1049420160
Calculate the common denominator of -115/1056776 and -103/33590380.
470265320
Calculate the least common multiple of 26055 and 622425.
5601825
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875500
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8958528
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25172576
Calculate the common denominator of 71/126 and 13/227394.
1591758
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68348192
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26785550
Calculate the common denominator of -9/484 and 167/3360984.
36970824
Calculate the lowest common multiple of 342 and 932805.
186561 | {
"pile_set_name": "DM Mathematics"
} |
term in 410739, 410749, 410761, 410775?
410791
What is next in 459, 468, 487, 516, 555?
604
What comes next: -6813, -27258, -61333, -109038, -170373?
-245338
What is next in 4262, 8585, 12962, 17393, 21878, 26417, 31010?
35657
What comes next: -84, -106, -156, -234, -340, -474, -636?
-826
What is next in -1614, -1625, -1634, -1635, -1622, -1589, -1530, -1439?
-1310
What is next in -3385, -6687, -9989, -13291, -16593, -19895?
-23197
What comes next: -4022, -3991, -3938, -3863, -3766, -3647?
-3506
What comes next: 836, 418, -280, -1258, -2516?
-4054
What is next in 7625, 30248, 67959, 120764, 188669, 271680?
369803
What is next in 52625, 52623, 52621, 52619, 52617?
52615
What is next in 682, 2824, 6424, 11482?
17998
What is the next term in 9336, 37402, 84184, 149682, 233896, 336826, 458472?
598834
What is the next term in 1123, 1143, 1185, 1261, 1383, 1563?
1813
What comes next: -2062, -4078, -6082, -8068, -10030, -11962, -13858?
-15712
What is the next term in 3573156, 3573157, 3573158, 3573159?
3573160
What is next in -36364, -36662, -36958, -37252?
-37544
What is the next term in 3704, 3515, 3326, 3137?
2948
What comes next: 64, 22, -20, -62, -104?
-146
What comes next: -2394, -2245, -1996, -1647, -1198, -649?
0
What is the next term in 2788, 2789, 2790, 2791, 2792, 2793?
2794
What is the next term in -17247, -17252, -17259, -17268, -17279, -17292?
-17307
What is next in -20, -57, -164, -377, -732?
-1265
What is the next term in 40137, 80183, 120229, 160275?
200321
What comes next: 18412, 36821, 55230, 73639?
92048
What comes next: 3122, 12255, 27460, 48731, 76062, 109447, 148880?
194355
What comes next: 13273, 13396, 13601, 13888?
14257
What comes next: -5112, -20321, -45640, -81063, -126584, -182197?
-247896
What comes next: 378, 729, 968, 1041, 894, 473, -276, -1407?
-2974
What is the next term in -7801, -15593, -23385, -31177?
-38969
What is the next term in -556, -1155, -2786, -5965, -11208, -19031?
-29950
What is the next term in 2139, 9417, 21541, 38505, 60303, 86929, 118377?
154641
What is next in -3, 39, 77, 111, 141?
167
What is the next term in 8, 195, 682, 1613, 3132?
5383
What is next in 112, 230, 344, 448, 536, 602, 640?
644
What is the next term in -168, -821, -1954, -3579, -5708, -8353, -11526?
-15239
What is next in -150, -399, -732, -1143, -1626?
-2175
What is next in -1543398, -3086794, -4630190, -6173586, -7716982?
-9260378
What is next in 1975, 3877, 5779, 7681, 9583, 11485?
13387
What is the next term in 211, 402, 557, 658, 687?
626
What is next in -2070, -3860, -5376, -6624, -7610, -8340?
-8820
What comes next: -625658, -625668, -625690, -625730, -625794, -625888?
-626018
What is next in -34577, -34558, -34539?
-34520
What is next in 1427, 1441, 1463, 1493?
1531
What comes next: -1032, -2010, -2988, -3966?
-4944
What comes next: -396, -62, 494, 1272, 2272?
3494
What is the next term in -2894, -5825, -8744, -11645, -14522, -17369?
-20180
What is next in 10047, 20075, 30103, 40131, 50159?
60187
What is next in 184751, 184746, 184739, 184730, 184719?
184706
What is the next term in 234259, 234257, 234253, 234247, 234239?
234229
What is the next term in 743, 719, 697, 677?
659
What comes next: -281, -863, -1757, -2963, -4481, -6311?
-8453
What is the next term in -74, -193, -292, -359, -382, -349, -248, -67?
206
What is next in 1717, 2046, 2379, 2716, 3057, 3402, 3751?
4104
What is next in -892548, -1785096, -2677644, -3570192?
-4462740
What comes next: 22441, 44874, 67307, 89740, 112173, 134606?
157039
What is next in 53, 367, 1147, 2603, 4945?
8383
What comes next: -2375, -4774, -7161, -9536?
-11899
What is next in 4930, 4881, 4832, 4783?
4734
What is the next term in -94059, -94048, -94029, -94002, -93967, -93924?
-93873
What comes next: -80, -155, -242, -341, -452, -575?
-710
What comes next: 180, 441, 844, 1389, 2076?
2905
What comes next: -8135, -8119, -8103, -8087, -8071?
-8055
What is the next term in 959, 623, 287, -49, -385?
-721
What is the next term in -1194, -1206, -1216, -1224, -1230, -1234?
-1236
What is the next term in 1043, 2045, 3017, 3959?
4871
What comes next: -140, -1168, -4126, -9980, -19696, -34240, -54578?
-81676
What comes next: 66, 57, 48, 45, 54, 81, 132?
213
What comes next: -2208, -8820, -19840, -35268, -55104, -79348, -108000?
-141060
What comes next: -278452, -278450, -278450, -278452, -278456, -278462, -278470?
-278480
What is next in 930, 3721, 8372, 14883, 23254, 33485?
45576
What comes next: 195, 300, 223, -126, -837, -2000, -3705, -6042?
-9101
What is the next term in 25060, 25111, 25196, 25315, 25468, 25655, 25876?
26131
What comes next: 2867, 2892, 2913, 2930?
2943
What is next in 1895, 3802, 5709?
7616
What comes next: 137, 273, 403, 527, 645?
757
What comes next: -958, -1880, -2802, -3730, -4670, -5628, -6610, -7622?
-8670
What is next in -589, -859, -1129, -1399?
-1669
What is the next term in 1458108, 1458111, 1458114, 1458117, 1458120, 1458123?
1458126
What is the next term in -961, -940, -905, -856?
-793
What comes next: -2394, -2238, -2082, -1926?
-1770
What is next in 39669, 79337, 119005, 158673, 198341?
238009
What is the next term in 3846, 7432, 11016, 14598?
18178
What is the next term in -28, -34, -70, -136, -232, -358?
-514
What is next in 2886, 5803, 8720, 11637?
14554
What comes next: 224, 1889, 6432, 15293, 29912, 51729, 82184, 122717?
174768
What is next in 693269, 693267, 693265, 693263, 693261, 693259?
693257
What comes next: -173, -347, -483, -563, -569, -483, -287, 37?
507
What comes next: 177178, 177173, 177168, 177163?
177158
What is next in 38, -281, -834, -1639, -2714, -4077, -5746, -7739?
-10074
What comes next: -2042, -8172, -18390, -32702, -51114, -73632, -100262, -131010?
-165882
What is the next term in -218, -711, -1468, -2483, -3750, -5263, -7016?
-9003
What is the next term in -6854, -27150, -60978, -108338, -169230, -243654, -331610?
-433098
What is next in -81, -170, -279, -414, -581, -786?
-1035
What is the next term in 543, 408, 43, -666, -1833, -3572, -5997?
-9222
What is next in -17805, -17802, -17799, -17796, -17793?
-17790
What comes next: -602, -1093, -1582, -2069?
-2554
What comes next: -671, -1201, -2087, -3323, -4903, -6821?
-9071
What is next in 323, 280, 237, 194, 151, 108?
65
What is next in 195645, 391294, 586943?
782592
What is next in -21087, -42171, -63253, -84333, -105411, -126487?
-147561
What is the next term in 125, 415, 901, 1583, 2461?
3535
What is the next term in -313978, -627958, -941938, -1255918, -1569898?
-1883878
What is the next term in 106, 143, 244, 439, 758?
1231
What comes next: 8792, 17585, 26378, 35171, 43964, 52757?
61550
What is next in 1148152, 1148140, 1148114, 1148068, 1147996?
1147892
What is the next term in -357, -716, -1035, -1290, -1457?
-1512
What is next in -113, -91, -1, 193, 527, 1037?
1759
What is next in -62271, -62275, -62279, -62283, -62287, -62291?
-62295
What is next in -302, -53, 360, 937, 1678, 2583?
3652
What comes next: 367814, 367809, 367804, 367799?
367794
What is next in -170474, -170471, -170468, -170465, -170462?
-170459
What is next in -1611, -1848, -2243, -2796, -3507?
-4376
What is next in 7710, 7719, 7740, 7779, 7842, 7935, 8064, 8235?
8454
What is next in -12, -45, -80, -123, -180, -257, -360, -495?
-668
What is next in 2796, 5319, 7840, 10359?
12876
What is the next term in -4029, -8070, -12111, -16152, -20193, -24234?
-28275
What is the next term in -878922, -1757842, -2636762, -3515682, -4394602, -5273522?
-6152442
What is next in 3137, 3330, 3523?
3716
What is the next term in -62, -140, -232, -338, -458, -592, -740?
-902
What is next in -1099, -4337, -9699, -17185, -26795, -38529, -52387?
-68369
What is next in -8770, -8769, -8768, -8767?
-8766
What is the next term in 750, 741, 742, 759, 798, 865?
966
What comes next: 2487, 2508, 2527, 2544?
2559
What is the next term in -214555, -214554, -214553, -214552, -214551?
-214550
What is next in -270193, -270187, -270181, -270175, -270169, -270163?
-270157
What is the next term in 206, 256, 352, 506, 730, 1036, 1436, 1942?
2566
What comes next: -71, -158, -433, -1004, -1979, -3466, -5573?
-8408
What is the next term in -53569, -53519, -53469, -53419?
-53369
What is the next term in -931, -1851, -2775, -3703, -4635, -5571?
-65 | {
"pile_set_name": "DM Mathematics"
} |
es are there in 63.89029 centuries?
638.9029
Convert 68155.41l to millilitres.
68155410
What is 6.375345cm in kilometers?
0.00006375345
How many meters are there in 9/10 of a kilometer?
900
What is 3/5 of a gram in milligrams?
600
What is 16.2673nm in millimeters?
0.0000162673
What is eleven eighths of a day in hours?
33
How many decades are there in 93.0656 years?
9.30656
What is 0.0487219 millennia in months?
584.6628
What is 40.9851l in millilitres?
40985.1
What is 3/5 of a litre in millilitres?
600
How many millilitres are there in 59/4 of a litre?
14750
What is 5/4 of a litre in millilitres?
1250
Convert 4293.539mm to meters.
4.293539
Convert 4.29623 kilometers to centimeters.
429623
What is 23727.906 months in years?
1977.3255
Convert 1131.346ms to microseconds.
1131346
How many millilitres are there in three fifths of a litre?
600
How many decades are there in 2407309.5 months?
20060.9125
What is 991202.3um in nanometers?
991202300
What is 629874.3 years in millennia?
629.8743
How many millilitres are there in one twentieth of a litre?
50
What is 6503.33 kilograms in milligrams?
6503330000
Convert 899.225 millennia to centuries.
8992.25
What is eighty-five sixths of a decade in months?
1700
What is 1/80 of a kilometer in centimeters?
1250
What is seven quarters of a milligram in micrograms?
1750
Convert 4170.196 micrometers to kilometers.
0.000004170196
Convert 23.18014mm to centimeters.
2.318014
How many milliseconds are there in fourty-eight fifths of a second?
9600
What is 9.430463ml in litres?
0.009430463
How many milliseconds are there in 3/5 of a second?
600
What is eighteen fifths of a decade in years?
36
How many millilitres are there in 3/8 of a litre?
375
How many micrograms are there in 49206.97 tonnes?
49206970000000000
What is 3/10 of a litre in millilitres?
300
What is 36057.6ml in litres?
36.0576
How many minutes are there in ten thirds of a day?
4800
What is seven eighths of a litre in millilitres?
875
How many micrograms are there in 0.2009637t?
200963700000
What is 47780.28 months in decades?
398.169
Convert 89.45739l to millilitres.
89457.39
What is 833327.4m in micrometers?
833327400000
What is 37.63243 decades in years?
376.3243
How many tonnes are there in 65.38474 kilograms?
0.06538474
What is 45/2 of a litre in millilitres?
22500
How many grams are there in 333.8451mg?
0.3338451
What is 1/10 of a millimeter in micrometers?
100
How many kilograms are there in 8614.548ng?
0.000000008614548
How many millilitres are there in one fifth of a litre?
200
What is six fifths of a litre in millilitres?
1200
How many nanoseconds are there in 5/4 of a microsecond?
1250
Convert 8458.486 nanograms to kilograms.
0.000000008458486
Convert 821801.8g to tonnes.
0.8218018
How many tonnes are there in 7370.705 micrograms?
0.000000007370705
What is 4437.445l in millilitres?
4437445
Convert 133.8556ml to litres.
0.1338556
Convert 74454.2 decades to centuries.
7445.42
Convert 69574.761 microseconds to hours.
0.0000193263225
What is 1/6 of a day in seconds?
14400
What is thirty-three fifths of a week in minutes?
66528
What is 64.08803 micrograms in milligrams?
0.06408803
How many millimeters are there in twenty-nine fifths of a meter?
5800
What is 21/4 of a centimeter in micrometers?
52500
How many hours are there in 10/3 of a week?
560
Convert 4017.811mm to micrometers.
4017811
How many years are there in 11/2 of a millennium?
5500
Convert 102741.4962us to weeks.
0.0000001698768125
How many decades are there in seventeen halves of a millennium?
850
Convert 8872.495 litres to millilitres.
8872495
How many nanometers are there in thirty-one halves of a micrometer?
15500
Convert 33386.03l to millilitres.
33386030
Convert 0.0001207g to kilograms.
0.0000001207
How many millilitres are there in 7/8 of a litre?
875
How many centimeters are there in seven halves of a meter?
350
How many millilitres are there in one quarter of a litre?
250
How many seconds are there in 3/28 of a week?
64800
What is 8751.52215 milliseconds in weeks?
0.000014470109375
How many minutes are there in twenty-three sixths of a week?
38640
How many millilitres are there in 6/5 of a litre?
1200
What is 73639.13m in kilometers?
73.63913
How many hours are there in 3/28 of a week?
18
Convert 0.4759587 milligrams to tonnes.
0.0000000004759587
What is 3/8 of a kilometer in meters?
375
What is 16018.94 centimeters in meters?
160.1894
How many tonnes are there in 0.314823 micrograms?
0.000000000000314823
How many milligrams are there in 18552.99t?
18552990000000
Convert 16.76965ml to litres.
0.01676965
How many nanoseconds are there in 5.126725us?
5126.725
What is 2.593821 millennia in years?
2593.821
How many meters are there in one tenth of a kilometer?
100
What is 281.6713 meters in kilometers?
0.2816713
What is 1.298279l in millilitres?
1298.279
Convert 747498.6 days to nanoseconds.
64583879040000000000
Convert 2.226766 weeks to milliseconds.
1346748076.8
Convert 12231.77 millennia to years.
12231770
What is 5/4 of a litre in millilitres?
1250
What is 3/10 of a litre in millilitres?
300
How many minutes are there in 27/2 of a day?
19440
How many millilitres are there in 5.556844 litres?
5556.844
How many grams are there in 7/4 of a kilogram?
1750
Convert 82347.25l to millilitres.
82347250
What is 5.982683 millimeters in centimeters?
0.5982683
What is one sixteenth of a kilometer in millimeters?
62500
How many seconds are there in 1949.701 weeks?
1179179164.8
What is 0.4427193 millennia in months?
5312.6316
Convert 290570.85s to hours.
80.714125
What is 9.927096 milligrams in nanograms?
9927096
Convert 1.9303368 months to millennia.
0.0001608614
What is 26/5 of a litre in millilitres?
5200
How many nanograms are there in 6887.319ug?
6887319
How many days are there in 0.9230902 weeks?
6.4616314
How many nanometers are there in 91.96269km?
91962690000000
How many millilitres are there in 0.7278947l?
727.8947
How many nanoseconds are there in 0.7229923 hours?
2602772280000
How many grams are there in five quarters of a kilogram?
1250
What is 29.5507 hours in milliseconds?
106382520
How many years are there in thirteen quarters of a millennium?
3250
How many years are there in 1/5 of a decade?
2
What is 6.273504 micrometers in kilometers?
0.000000006273504
How many seconds are there in 1/6 of a minute?
10
How many minutes are there in eight thirds of a day?
3840
How many grams are there in 3/5 of a kilogram?
600
How many micrometers are there in 3/32 of a meter?
93750
What is twenty-one fifths of a millennium in centuries?
42
How many millilitres are there in 12/25 of a litre?
480
What is 3605.064 litres in millilitres?
3605064
How many decades are there in nineteen tenths of a millennium?
190
Convert 861212.5nm to meters.
0.0008612125
What is 1/4 of a decade in months?
30
What is 975867.5us in milliseconds?
975.8675
What is 1726.782 years in decades?
172.6782
What is 27/2 of a microsecond in nanoseconds?
13500
What is 62300.64 weeks in seconds?
37679427072
What is 6/25 of a minute in milliseconds?
14400
How many centuries are there in 90.22086 millennia?
902.2086
How many micrograms are there in 9/10 of a milligram?
900
How many grams are there in 3/40 of a tonne?
75000
How many grams are there in 6/5 of a kilogram?
1200
How many kilograms are there in 3721.9 milligrams?
0.0037219
What is 94.86701 centuries in millennia?
9.486701
What is 3/25 of a kilogram in grams?
120
How many micrometers are there in 11/2 of a centimeter?
55000
How many seconds are there in 1/15 of a minute?
4
How many millilitres are there in twenty-five eighths of a litre?
3125
How many grams are there in 0.079155 milligrams?
0.000079155
How many kilometers are there in 6.45371cm?
0.0000645371
Convert 3.627275 micrograms to grams.
0.000003627275
What is 7770.877l in millilitres?
7770877
What is 611.282ml in litres?
0.611282
What is 17.88182 weeks in hours?
3004.14576
What is 7.126466 weeks in minutes?
71834.77728
How many micrometers are there in 907600.5 centimeters?
9076005000
What is 327060.6s in milliseconds?
327060600
How many millimeters are there in 8.222272 micrometers?
0.008222272
What is twenty-one fifths of a centimeter in millimeters?
42
What is 11/2 of a year in months?
66
Convert 31818. | {
"pile_set_name": "DM Mathematics"
} |
0 = -2*l - 0*l - 3*o + 36. Let c be ((-1)/(-3))/((-20)/l). What is the biggest value in c, 5, 3?
5
Let i be (-2 - (0 - 2))/2. Let l be (-6)/(-21) - (-13)/((-91)/4). What is the third biggest value in i, -3, l?
-3
Let u = 7484 - 7485. Let j = 2.6 + -0.6. Which is the third biggest value? (a) -2 (b) j (c) u (d) 3/2
c
Let f be (-12)/(-64)*1*8/(-12). What is the smallest value in f, 4/3, -1/2?
-1/2
Let j = -3.1 - -3.3. Suppose 0 = s - 2 + 6. Suppose 0*t + 4*d + 7 = 3*t, 2*t + 4*d = -22. Which is the third biggest value? (a) j (b) t (c) s
c
Suppose 4*o = -3 - 5, -18 = 3*a + 3*o. Let t = 1649 + -6595/4. What is the biggest value in 3, a, t?
3
Let a be (-670)/130*(0 - 1) - (-18)/(-117). Let b = 0.13 - 12.13. Let l = b + 7. What is the third biggest value in a, -0.4, l?
l
Suppose 2*x - 6*x + 216 = 0. Let a = 49 - x. What is the second smallest value in 2/3, a, 1/18?
1/18
Suppose -5*x + 6 = -4*a - 2, 5*x = -3*a - 6. What is the smallest value in a, -0.06, -4?
-4
Let k be (154/(-44) + 1)*2/(-1). Which is the third smallest value? (a) -0.1 (b) 5/7 (c) k
c
Let t = 283 - 282.904. What is the third biggest value in 0.1, 1, t?
t
Let h = -27 + 39. Let t = 29 - 15. Let m = t - h. What is the biggest value in 3/5, 2/7, m?
m
Let d(p) = -p**3 - 4*p**2 - p. Let w be d(-3). Suppose 34 - 40 = -3*z. Let q = 0.3 - 0.4. Which is the second smallest value? (a) z (b) q (c) w
b
Let l = 1 + -1.3. Let p = -3.7182 + 1.7182. Which is the smallest value? (a) l (b) p (c) -28
c
Let z = -3 + 3.5. Let b = 206 + -210.55. Let r = -0.55 - b. What is the third smallest value in z, r, 1/8?
r
Let h(z) = z**3 - 4*z**2 - 16*z + 25. Let w be h(6). Which is the fourth smallest value? (a) -2/7 (b) w (c) -5 (d) 2/7
b
Let a = -21.6 - -21.8. Let k = -0.06 - 1.94. What is the biggest value in k, a, 10?
10
Let w be (-24)/(-18) + 4/(-3). What is the third biggest value in 0.4, w, -3, -0.02?
-0.02
Suppose 4*y - 20 - 4 = 0. Suppose -y*r + 40 = -2*r. Let a be (10/(-4))/(15/r). What is the third smallest value in -2, a, -3?
a
Suppose 4*f - 5*o = 424, -3*o = -44*f + 40*f + 424. What is the second biggest value in -1/7, f, -2/3?
-1/7
Let u = -8.29 - -8. Let k = 9.71 - u. Let t = k - 6. Which is the third smallest value? (a) -4/3 (b) 1/5 (c) t
c
Let p = 19.29 + -19. Let q = 0.29 - p. Which is the second smallest value? (a) q (b) -1.8 (c) -0.1
c
Let k = 49 - 49. Let m = 30/7 + -3951/917. Let u = 372/917 - m. What is the second biggest value in u, -3/5, k?
k
Let y = -190 + 190.3. Which is the third biggest value? (a) 0.2 (b) 1 (c) 4/7 (d) y
d
Suppose 0*z + 36 = 3*z. Suppose 0 = 3*u + 3*j - 276, 4*u - 420 = -u + 5*j. Let i = u - 92. What is the second biggest value in 0.4, z, i?
0.4
Suppose -8*b + 155 = -39*b. What is the fourth biggest value in 1/34, 4, -0.4, b?
b
Suppose 0 = j - 12*j + 66. Suppose -3*r - 3 - 3 = 0. Let b be j/8 + r/(-8). What is the second biggest value in b, -4/7, -0.5?
-0.5
Let y = -135 + 136. Let p be y - 1/(25/15). Which is the smallest value? (a) 0.3 (b) 58 (c) p
a
Let m = -2972 + 2970. Which is the biggest value? (a) 0 (b) -43 (c) m
a
Let l be (-2)/(-7) + 5/7. Let o(x) = -5*x**2 + 11*x + 35. Let p be o(4). What is the third biggest value in p, l, 12?
p
Let k = -66.8 + 66.7. Let g = -3.1 + 0.1. Which is the third smallest value? (a) 2/11 (b) k (c) g
a
Let s be (-1 - (1 + -1))/(2/(-34)). Let r = -118/7 + s. Which is the smallest value? (a) -4/3 (b) -4 (c) r (d) 1/2
b
Let t = 2311069/65 + -35556. Let s = t + 22/13. What is the smallest value in 5, s, 2/21?
2/21
Let q = 129/4 - 32. Let u = -32.7 - -28.7. What is the third biggest value in 5, q, -0.7, u?
-0.7
Let z = 2.2 + -2.7. Let h = -4 + 5. Let s = -4 + h. Which is the third smallest value? (a) z (b) s (c) -2
a
Let b = -0.2 + 0.5. Let h = 19 + -2. Let t = h + -16. What is the biggest value in -0.4, b, t?
t
Let h = 455/2 + -228. Which is the second smallest value? (a) -39 (b) 2/11 (c) h (d) -1/3
c
Let c = 47.58 + -47. Let p = 4.42 + c. What is the third smallest value in 2, p, -2/167?
p
Let n(r) = -r**3 - 20*r**2 + 21*r + 5. Let s be n(-21). Let t = 4 + -7. Let k = 0 + t. Which is the smallest value? (a) s (b) k (c) 1
b
Suppose -j + 11 + 89 = -4*z, -3*j = 5*z + 142. Let i be (-14)/(-91) + (-9)/z. Which is the second biggest value? (a) -4 (b) 2 (c) i (d) 0.3
c
Suppose 0 = -3*f + f - 6. Let v(d) = 2*d**2 + 64*d - 70. Let g be v(-33). Which is the second smallest value? (a) f (b) 1/31 (c) g
a
Let d = -46 - -45. Let n be d/66 - 2/(-77)*7. Let v = -8 + 6. What is the second smallest value in v, n, -1/3?
-1/3
Let y = -4 + 8. Let z = 507/1018 - -1/509. What is the third smallest value in z, y, 1/6?
y
Let v = -13 + 18. Let p = -4 + v. Let j = -6 - -23/4. What is the third smallest value in p, -3/2, j?
p
Let r = -0.1968 + -0.0032. Let q = 0.02 + -3.02. Which is the second smallest value? (a) r (b) q (c) 1
a
Suppose 3*a + 9 = k - 3, 5*k = 5*a + 90. Let p = k - 26. What is the second biggest value in 11, -3, p?
-3
Let o = 0.124 - 32.024. Let z = 32 + o. Which is the second biggest value? (a) z (b) -4 (c) -0.05
c
Let q be 5/30*(-3)/(3/10). Let i = -1/5 + 2/5. Which is the second biggest value? (a) q (b) 2/15 (c) i
b
Suppose -c - 3*c = -80. Let x be (c - 0)*3/6. What is the third biggest value in 0.3, x, 0.4?
0.3
Let n = 0.2362 + -0.3632. Which is the second smallest value? (a) 1 (b) 4 (c) n
a
Suppose 0 = j - 0*j - 35. Let u be (-2 - -1) + (-7)/j. Which is the smallest value? (a) 3 (b) u (c) -0.2
b
Let z = 123/1615 + -2/85. Let n = -0.1433 + 0.0433. Which is the third smallest value? (a) n (b) z (c) -0.4
b
Let j = 88.25 - -13.05. Let l = j - 101. Which is the fourth smallest value? (a) 0.1 (b) -3 (c) l (d) -0.1
c
Let n = -35 + 23. Let p be (3/(-1))/3*20/n. Which is the third biggest value? (a) p (b) -5 (c) -3
b
Let k = 0.2 - 0.5. Let j = -2.6 + 3. Let r be (-24)/(-28)*(96/27 - 2). Which is the smallest value? (a) r (b) k (c) j
b
Let i = 0.06 + -0.56. Let c = -2.95 + -0.05. What is the biggest value in i, c, 4, -1?
4
Let o = 0.7 - -0.3. Let x = 0.13335 + -0.21335. Which is the biggest value? (a) -3 (b) -4 (c) o (d) x
c
Let l = -7.16 + -0.04. Let v = l - -7. Which is the biggest value? (a) v (b) -5 (c) 3/4
c
Let m = -83.37 + 83. Let h = -29.37 - m. Let j = h - -31. Which is the smallest value? (a) j (b) -1 (c) -0.4
b
Let d = -0.16 + 0.28. Let v = -4.12 + d. Suppose 2*t + 5*j - 7 = 0, -5*t + j - 4*j + 8 = 0. Which is the third smallest value? (a) t (b) -3/8 (c) v
a
Suppose -1 = -4*b + 23. Suppose -b*t = -4*t. Suppose h + 3*h + 16 = t. What is the third biggest value in 0.2, 0.1, h?
h
Let d = -108.49 + 119.3. Let t = d + 2.29. Let s = -14 + t. What is the smallest value in s, 2, -1/4?
s
Let r = 558 + -560. What is the third smallest value in r, 2.4, -2/3?
2.4
Let h = 68 - 52.5. Let u = h - 16. Let o be 2 - (-1 + 34/10). Which is the second biggest value? (a) -2/19 (b) u (c) o
c
Let c = -4772 - -4776.018. Let w = -0.018 + c. What is the third smallest value in 0.1, w, 0?
w
Let u = -1196 + 1200. What is the second biggest value in -1/5, u, -12, 5?
u
Let z = 2.936 + -0.036. Let l = 0.1 + z. Let c = 26 - 129/5. What is the third biggest value in l, c, -0.1?
-0.1
Let u = -0.65 - -6.25. Let p = 0.163 + -1.763. Let y = u + p. What is the biggest value in -9, 5, y?
5
Let s = -35 - -20. Let a = -8.6 + 24.6. Let t = s + a. What is the second smallest value in -0.2, t, -2/3?
-0.2
Let v = 29938/13 + -2303. What is the third smallest value in -1/3, 0.2, v, -0.3?
v
Let x = -867/2 + 435. Which is the biggest value? (a) -21 (b) x (c) -2/11
b
Suppose 14 = 11*w - 7*w + 3*h, -w - h = -3. Let b = -1 + 3. What is the fourth biggest value in 0.4, b, -0.03, w?
-0.03
Let b = -234 - -234.3. Let v = 13 - 63/5. What is the second biggest value in v, -3, b, -0.3?
b
Let m(j) = j**3 + 9*j**2 + 15*j + 4. Let o be m(-7). What is the third smallest value in o, 4, -4?
4
Let i = -25/3 - -8. Let f = 20 + -20. What is the second biggest value in i, f, 2?
f
Let t = -5.69 - -2.69. Which is the third smallest value? (a) 0.2 (b) -1/2 (c) 8/11 (d) t
a
Let k be (-109)/6*(-8)/412. Let t = k - 2/103. Let p = 90 - 90.4. What is the third biggest value in t, p, -0.1?
p
Let t = -971 | {
"pile_set_name": "DM Mathematics"
} |
+ 43*g**4 = 0.
-1, -2/3, 1, 5
Suppose 10*i + 59 = 79. Factor -2*f**3 + 0 + 6*f**i - 9/2*f.
-f*(2*f - 3)**2/2
Suppose 0 = -5*k - 4*l - 2, 18 = 3*k - 3*l - l. Suppose 5*m = -k*d + 5, -5*m = 3*d - 7*d - 35. Factor -2 + 4*v - 3 + 2 + 2*v - m*v**2.
-3*(v - 1)**2
Let y(b) = 245*b**3 - 145*b**2 - 185*b + 80. Let g(t) = -123*t**3 + 73*t**2 + 92*t - 40. Let h(f) = 5*g(f) + 2*y(f). Factor h(a).
-5*(a - 1)*(5*a - 2)*(5*a + 4)
Let d(u) = -8*u**2 - 55*u - 37. Let o be d(-6). Determine c, given that -c**o - 5/2*c**2 + 0 + 0*c**3 + c + 5/2*c**4 = 0.
-1, 0, 1/2, 1, 2
Let y be 902/5 + (-5 - (-69)/15). Let k = y - 180. Let k - 2/3*r**3 - 4*r**2 - 6*r = 0. What is r?
-3, 0
Let y(p) = 9*p**4 + 152*p**3 + 413*p**2 + 266*p. Let d(t) = 11*t**4 + 153*t**3 + 412*t**2 + 264*t. Let h(z) = -2*d(z) + 3*y(z). Find x such that h(x) = 0.
-27, -2, -1, 0
Let y(k) be the second derivative of -k**4/6 - 11*k**3/3 + 126*k**2 - 401*k. Factor y(p).
-2*(p - 7)*(p + 18)
Factor -20*f**4 + 22*f**4 - 18*f**3 - 2*f**5 - 15*f + 8*f**4 + 2*f**2 + 12*f**2 + 11*f.
-2*f*(f - 2)*(f - 1)**3
Let y = -40 - -43. Let 9 - 80*h - 5*h**y + 7*h**2 + 17 + 28*h**2 + 34 = 0. What is h?
2, 3
Let v(q) be the second derivative of -q**5/60 + 7*q**4/18 + q**3/18 - 7*q**2/3 - 52*q. Solve v(x) = 0 for x.
-1, 1, 14
Let h(z) be the third derivative of -10*z**2 - 1/60*z**5 - 1/24*z**4 + 0*z**3 + 0*z + 0. Factor h(x).
-x*(x + 1)
Suppose 13 = 5*v - 37. Let f be (-2)/(-2) - v/(-10). Solve -5*j**3 + 5*j**2 + 6*j**3 - 3*j**2 - j**f = 0 for j.
-1, 0
Suppose 6 = 4*n - 6. Suppose 24 + t**3 + 2*t - 5*t**n + 10*t - 16 = 0. What is t?
-1, 2
Let g(l) be the second derivative of -l**5/170 + l**4/6 - 31*l**3/51 + 15*l**2/17 - 46*l - 1. Find h, given that g(h) = 0.
1, 15
Let m = 4277 - 4274. Factor 3/4*c**3 + 3 - m*c - 3/4*c**2.
3*(c - 2)*(c - 1)*(c + 2)/4
Let f = 13 + -14. Let d be 9 + (1 + -4 - f). Factor -3*g**4 - 5 + d*g**2 - 2*g**2 - g + g**3 + 3.
-(g - 1)**2*(g + 1)*(3*g + 2)
Let z be ((-12)/(-21))/(4/14). Let t = z - -2. Suppose 4*d**5 + t*d - 8*d**2 - 16*d**3 + 7*d + d + 8 = 0. What is d?
-1, 1, 2
Factor 920*q**3 - q - 7*q**2 - 928*q**3 + q**2.
-q*(2*q + 1)*(4*q + 1)
Factor -1/4*b**3 - 5/2*b**2 - 9 - 33/4*b.
-(b + 3)**2*(b + 4)/4
Let f(v) be the third derivative of v**7/70 + v**6/10 - 13*v**5/20 - v**4/2 + 6*v**3 - 38*v**2 + 3. Find o such that f(o) = 0.
-6, -1, 1, 2
Let l(s) be the third derivative of -s**5/30 + 5*s**4/12 + 2*s**3 - 12*s**2 - 1. Let l(k) = 0. Calculate k.
-1, 6
Let r(c) = -c**2 - 2*c + 6. Let a be r(-3). Find y such that 6*y**3 + 8*y**3 - 24*y**3 + 8*y**a + 4*y**2 = 0.
0, 2
Let g be 2/(-3) + (-304)/(-24). Suppose -4 = -r + 3*i, -i - 2*i - g = -3*r. Factor -2/3 + 0*t**3 + 4/3*t**2 - 2/3*t**r + 0*t.
-2*(t - 1)**2*(t + 1)**2/3
Let p(l) be the first derivative of -l**4/3 - 16*l**3/3 + 18*l**2 - 56*l/3 + 400. Let p(h) = 0. What is h?
-14, 1
Let m(r) be the third derivative of -r**7/105 + r**6/30 + r**5/10 + 97*r**2. Find j such that m(j) = 0.
-1, 0, 3
Let j(k) = 3*k**2 - 75*k + 510. Let p(w) = -3*w**2 + 76*w - 509. Let l(x) = -2*j(x) - 3*p(x). Factor l(f).
3*(f - 13)**2
Let b be ((-72)/(-10))/((-494)/(-3040)). Let n = -44 + b. What is l in 6/13*l + n*l**2 - 6/13*l**4 + 2/13 - 4/13*l**3 - 2/13*l**5 = 0?
-1, 1
Let m be (-57)/(-6) - (-1)/2. Factor -2*i**2 - 19*i + 7*i + m*i.
-2*i*(i + 1)
Suppose -3*p + 761 = 5*n, 0 = -12*p + 10*p - 6. Let t = n - 152. Factor 0 - 3*h**4 - 13/2*h**3 - 1/2*h**5 - 2*h - 6*h**t.
-h*(h + 1)**2*(h + 2)**2/2
Let u(a) be the third derivative of a**6/12 - 7*a**5/4 - 95*a**4/12 + 20*a**3 + 7*a**2 - 11. Factor u(x).
5*(x - 12)*(x + 2)*(2*x - 1)
Suppose -k - 25 = 4*k. Let l(o) = 50*o**5 + 115*o**4 + 68*o**3 - 13*o**2 - 23*o - 4. Let t(f) = f. Let s(g) = k*l(g) - 15*t(g). Solve s(h) = 0.
-1, -2/5, 1/2
Let r(o) be the second derivative of 9*o - 1/3*o**4 - 3 + 0*o**2 - 1/15*o**6 + 0*o**3 - 3/10*o**5. Factor r(t).
-2*t**2*(t + 1)*(t + 2)
Let t(o) be the first derivative of 0*o + 1/120*o**6 + 4*o**2 - 1/24*o**4 + 1/60*o**5 - 1/6*o**3 - 1. Let d(r) be the second derivative of t(r). Factor d(b).
(b - 1)*(b + 1)**2
Let j(w) be the first derivative of w**6/33 - 24*w**5/55 - 13*w**4/22 + 199. Determine m so that j(m) = 0.
-1, 0, 13
Let z be (-12 + 2 + 10)/(-5). Let f(x) be the third derivative of 0*x**3 + x**2 - 1/8*x**4 + 0 - 1/40*x**6 + z*x + 1/10*x**5. Solve f(m) = 0.
0, 1
Let u(w) = 264*w - 2110. Let m be u(8). Determine l so that -32/3*l**m + 40/9*l**3 - 28/9 - 4/9*l**4 + 88/9*l = 0.
1, 7
Let u(w) = -w**2 + w - 1. Let y(k) = -5*k**2 - 7*k - 15. Let t(b) = -6*u(b) + 2*y(b). Suppose t(f) = 0. Calculate f.
-3, -2
Suppose 0*u + 28 = 3*u - 2*y, 0 = 4*u + 2*y - 14. Let g be u/45*(10 - 5). Factor -4/9 - 2/9*r**2 - g*r.
-2*(r + 1)*(r + 2)/9
Suppose 12 = 4*g + z, -3*g + 3*z - 11 = -5. Factor 0*p - 1/2*p**5 + 0*p**4 + 0 + 0*p**g + 0*p**3.
-p**5/2
Let g(k) be the first derivative of k**8/840 - k**7/140 + k**6/90 + 5*k**3 - 9. Let i(p) be the third derivative of g(p). What is m in i(m) = 0?
0, 1, 2
Factor 23*x**2 - 60*x + 3*x**2 - 10*x**3 + 46*x + 0*x**2 - 2*x**4.
-2*x*(x - 1)**2*(x + 7)
Let q(x) be the first derivative of x**4/6 + 4*x**3/9 - 7*x**2 + 12*x - 226. Factor q(t).
2*(t - 3)*(t - 1)*(t + 6)/3
What is o in -6*o**4 - o**2 - 6*o + 6*o**3 + 24*o**4 - 17*o**4 = 0?
-6, -1, 0, 1
Let r = -1577 + 1579. Suppose -12/5*w**3 + 9*w**r - 36/5*w - 12/5 = 0. Calculate w.
-1/4, 2
Let x(o) be the third derivative of -o**6/180 - 11*o**5/90 - 10*o**4/9 - 16*o**3/3 + 100*o**2. Factor x(c).
-2*(c + 3)*(c + 4)**2/3
Let u = 177999/5 - 35597. Solve 16/5*i**2 + 2/5 - 9/5*i - 1/5*i**5 - u*i**3 + 6/5*i**4 = 0 for i.
1, 2
Let d be 24 + (13 + -4)*-2. Factor 0 - 2*w**4 + d*w**2 + 1/2*w**5 - w**3 + 9/2*w.
w*(w - 3)**2*(w + 1)**2/2
Let a = -18 - -9. Let l = -7 - a. Determine o so that -3*o**3 - o**2 + l*o**3 + 0*o**3 = 0.
-1, 0
Let i be -1 - 2/(24/(-14)). Let d be 282/90 - 3 - (-28)/140. Factor 1/6*j**2 - d*j + i.
(j - 1)**2/6
Let j be (-39)/(-33) - (-1 - -2). Let h be (((-2000)/(-75))/(-80))/(-1 + (-8)/(-9)). Factor 54/11*f + j*f**h - 54/11 - 18/11*f**2.
2*(f - 3)**3/11
Let y(t) be the second derivative of -11*t**7/735 - t**6/210 + 9*t**2/2 + 16*t. Let p(r) be the first derivative of y(r). Factor p(f).
-2*f**3*(11*f + 2)/7
Let x(q) = -99*q + 3171. Let s be x(32). Find y, given that 0 + 20/7*y**2 + 6/7*y + 12/7*y**4 + 2/7*y**5 + 24/7*y**s = 0.
-3, -1, 0
Let b(r) be the first derivative of -9 - 6 + 5*r**2 - 4*r + 8 + 2*r**3. Factor b(n).
2*(n + 2)*(3*n - 1)
Let w(j) = -j**3 - 12*j**2 - 11*j. Let n be w(-11). Suppose n = -x + 6 - 1. Suppose x*g - 5*g - 2*g**2 = 0. What is g?
0
Let d(f) be the third derivative of 0 - 1/6*f**6 - 2/35*f**7 + 5*f**2 + 1/5*f**5 + 1/21*f**8 + 1/6*f**4 + 0*f + 0*f**3. Suppose d(m) = 0. What is m?
-1, -1/4, 0, 1
Let f = 103 - 101. Find l such that 13*l - 7*l**2 + l**f + 9 + 0*l**2 - 11 = 0.
1/6, 2
Let y be (-27)/((-945)/14) + 3. Factor -r**2 - 6/5 - y*r.
-(r + 3)*(5*r + 2)/5
Let p be (-41)/(1886/(-920))*(-2)/(-2). Let -1/5*t**2 + 4*t - p = 0. What is t?
10
Let a = 272 + -272. Let y(d) be the first derivative of 2/7*d + a*d**2 - 2/21*d**3 - 4. Find c such that y(c) = 0.
-1, 1
Suppose 12*i**3 + 2*i**2 - i**2 - i**2 - 22*i**5 - 290*i**4 + 300*i**4 = 0. Calculate i.
-6/11, 0, 1
Suppose 0 = -2*r + 19*r. Let z(p) be the third derivative of p**2 + r*p + 1/390*p**5 + 1/39*p**3 + 0 - 1/78*p**4. Factor z(k).
2*(k - 1)**2/13
Let o = 6408/5 + -3844/3. Factor 2/15*z**2 + 2/15 + o*z.
2*(z + 1)**2/15
Factor 0*n - 7/11*n**2 - 8/11*n**3 + 0 - 1/11*n**4.
-n**2*(n + 1)*(n + 7)/11
Let q = 1/169 + 335/507. Let a(h) be the second derivative of -1/5*h**5 - 2/3*h**3 - q*h**4 + 5*h + 0 + 0*h**2. Factor a(o).
-4*o*(o + 1)**2
Let c = -35 - -90. Solve -4*g - 81*g**4 + 9*g - 1 + g**2 + 7*g - c*g**2 + 108*g**3 = 0 for g.
1/3
Let v(r) be the second derivative of -r**6/540 + r**4/108 + 3*r**2/2 + 5*r. Let h(p) be the first derivative of v(p). Factor h(f).
-2*f*(f - 1)*(f + 1)/9
Let j be (-2 + 0 + 1)*(-9)/((-225)/(-10)). Factor -j + 2/5*a**3 - 2/5*a + 2/5*a**2.
2*(a - 1)*(a + 1)**2/5
Let b(f) = -7*f**4 + 7*f**3 + 6*f**2 - 7*f + 7. Let u(k) = -8*k**4 + 8*k**3 + 7*k**2 - 8*k + 9. Let s(l) = -4*b(l) + 3*u(l). Solve s(t) = 0 for t.
-1, 1/2, 1
Let o(q) = 2*q**2 - 12*q + 16. Let i(v) = -2*v**2 + 12*v - 16. Suppose 5*h + 3*r - 30 = 0, 4*h + 0 | {
"pile_set_name": "DM Mathematics"
} |
36/55
Calculate prob of picking 1 q, 1 w, and 2 s when four letters picked without replacement from qssswese.
3/35
Two letters picked without replacement from kvbwwtz. Give prob of picking 1 w and 1 z.
2/21
Three letters picked without replacement from ddoddddddddd. What is prob of picking 2 d and 1 o?
1/4
Four letters picked without replacement from {i: 5, a: 4, b: 5, x: 6}. Give prob of picking 2 a and 2 i.
4/323
What is prob of picking 1 r and 1 g when two letters picked without replacement from culregu?
1/21
Four letters picked without replacement from pycccjypcyje. What is prob of picking 2 j, 1 p, and 1 y?
2/165
What is prob of picking 2 a, 1 r, and 1 g when four letters picked without replacement from gridmaraamigmia?
8/455
Calculate prob of picking 1 y and 2 t when three letters picked without replacement from tluyultyu.
1/42
Two letters picked without replacement from hlhg. Give prob of picking 1 g and 1 h.
1/3
Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {g: 2, b: 3, o: 6, t: 4}.
8/35
Three letters picked without replacement from {w: 1, s: 2, i: 3, a: 4}. Give prob of picking 2 i and 1 s.
1/20
Three letters picked without replacement from pgjgj. Give prob of picking 1 g, 1 p, and 1 j.
2/5
Two letters picked without replacement from {c: 1, z: 2, m: 1, q: 3, a: 7}. Give prob of picking 1 z and 1 m.
2/91
Two letters picked without replacement from {l: 8, r: 3}. Give prob of picking 2 r.
3/55
Calculate prob of picking 1 l, 1 u, and 1 d when three letters picked without replacement from momdumuummdlm.
3/143
Calculate prob of picking 2 i when two letters picked without replacement from {i: 9, n: 3}.
6/11
Four letters picked without replacement from dgvic. What is prob of picking 1 d, 1 g, 1 c, and 1 v?
1/5
What is prob of picking 2 k when two letters picked without replacement from kkhkhkkkkhkkhhkk?
11/24
What is prob of picking 2 y when two letters picked without replacement from {y: 2, t: 1}?
1/3
Calculate prob of picking 4 f when four letters picked without replacement from effefffffe.
1/6
Calculate prob of picking 2 r, 1 w, and 1 j when four letters picked without replacement from prjjrrrrrjrxrrrjrwjk.
55/969
Four letters picked without replacement from vwvvvvvv. What is prob of picking 1 w and 3 v?
1/2
Calculate prob of picking 1 v, 1 i, and 2 y when four letters picked without replacement from vvvyiviyvbyviib.
24/455
Three letters picked without replacement from {m: 2, p: 18}. What is prob of picking 1 p and 2 m?
3/190
Calculate prob of picking 1 m and 2 k when three letters picked without replacement from mkkmkmkkkm.
1/2
Calculate prob of picking 2 c when two letters picked without replacement from cmccqmkckcmk.
5/33
Calculate prob of picking 3 p when three letters picked without replacement from {p: 9}.
1
Calculate prob of picking 3 q when three letters picked without replacement from qqqeqqqeq.
5/12
Calculate prob of picking 2 n when two letters picked without replacement from nwownr.
1/15
Calculate prob of picking 2 z, 1 l, and 1 u when four letters picked without replacement from {l: 4, m: 2, u: 1, z: 2}.
2/63
What is prob of picking 2 p when two letters picked without replacement from pppppp?
1
Two letters picked without replacement from {e: 1, b: 11, l: 7}. What is prob of picking 1 b and 1 e?
11/171
Calculate prob of picking 1 q and 1 z when two letters picked without replacement from pqeexzzezzeqzzzz.
2/15
Calculate prob of picking 2 z when two letters picked without replacement from zkzkzzzkzzk.
21/55
Calculate prob of picking 1 o and 2 m when three letters picked without replacement from {x: 1, m: 2, o: 2, z: 1, d: 1}.
2/35
Calculate prob of picking 3 x when three letters picked without replacement from xycyxyx.
1/35
What is prob of picking 2 a and 1 t when three letters picked without replacement from tqaad?
1/10
What is prob of picking 1 o and 1 j when two letters picked without replacement from {w: 3, z: 1, n: 5, o: 1, j: 3, u: 2}?
1/35
Three letters picked without replacement from jopjoyjlj. Give prob of picking 1 l, 1 p, and 1 y.
1/84
Three letters picked without replacement from wkvvvwyyyvvvvy. Give prob of picking 3 y.
1/91
What is prob of picking 1 m and 1 w when two letters picked without replacement from {z: 1, w: 1, m: 3}?
3/10
Four letters picked without replacement from pbrqbppnpyprqqnpqrbb. Give prob of picking 1 p, 1 y, and 2 q.
12/1615
Three letters picked without replacement from cwcgawgwmwmv. What is prob of picking 1 m and 2 g?
1/110
Calculate prob of picking 1 q and 2 b when three letters picked without replacement from bhbbbbbqqbqbjjbbqbq.
275/969
Three letters picked without replacement from zzmvwmvvvvwvzhvmnmzn. What is prob of picking 2 m and 1 w?
1/95
What is prob of picking 2 i and 2 c when four letters picked without replacement from {i: 4, c: 2, o: 3}?
1/21
What is prob of picking 2 b when two letters picked without replacement from {b: 2, t: 2}?
1/6
Calculate prob of picking 1 k and 3 b when four letters picked without replacement from {h: 5, b: 7, k: 2, t: 3}.
1/34
Four letters picked without replacement from ghzdpdfpf. Give prob of picking 2 f, 1 p, and 1 h.
1/63
Two letters picked without replacement from lklkdsds. What is prob of picking 1 s and 1 d?
1/7
Four letters picked without replacement from rccrc. Give prob of picking 4 r.
0
Four letters picked without replacement from eeeeaeee. Give prob of picking 3 e and 1 a.
1/2
Calculate prob of picking 1 a and 1 w when two letters picked without replacement from oopopxooooowoaowxwoo.
3/190
Calculate prob of picking 3 b when three letters picked without replacement from ffbibbfi.
1/56
What is prob of picking 4 i when four letters picked without replacement from hhihbhhihihih?
1/715
Four letters picked without replacement from jqjgmmr. What is prob of picking 1 j, 2 m, and 1 g?
2/35
Calculate prob of picking 1 m and 1 k when two letters picked without replacement from kcmnnnnmkommmk.
15/91
Calculate prob of picking 1 y and 1 p when two letters picked without replacement from pyjzh.
1/10
What is prob of picking 2 o when two letters picked without replacement from ooutununnntk?
1/66
Three letters picked without replacement from ybjybycyuc. Give prob of picking 2 b and 1 c.
1/60
What is prob of picking 3 t and 1 r when four letters picked without replacement from {t: 4, r: 6}?
4/35
What is prob of picking 1 q and 1 j when two letters picked without replacement from jjqqqqqqqqqqjqq?
12/35
Four letters picked without replacement from {w: 13, l: 6}. What is prob of picking 1 w and 3 l?
65/969
Two letters picked without replacement from {p: 7, u: 1}. What is prob of picking 1 u and 1 p?
1/4
Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {k: 10, y: 4}.
40/91
Calculate prob of picking 1 d and 2 h when three letters picked without replacement from {h: 2, l: 1, f: 2, u: 1, d: 1}.
1/35
What is prob of picking 4 p when four letters picked without replacement from {x: 3, v: 1, p: 5}?
5/126
What is prob of picking 1 i, 2 o, and 1 u when four letters picked without replacement from {y: 3, o: 2, u: 2, i: 2, q: 10}?
1/969
Two letters picked without replacement from {n: 2, d: 6, a: 1, h: 2, b: 1}. Give prob of picking 1 h and 1 n.
2/33
Calculate prob of picking 1 z, 1 n, and 1 j when three letters picked without replacement from {u: 1, l: 1, j: 1, o: 1, z: 1, n: 2}.
2/35
Two letters picked without replacement from {v: 1, p: 4, u: 4, c: 3, h: 1, a: 1}. Give prob of picking 1 a and 1 v.
1/91
What is prob of picking 1 k and 1 h when two letters picked without replacement from qhkkkhkkkhkqhkkk?
1/3
Three letters picked without replacement from xxnnxinhhifxxx. Give prob of picking 1 h, 1 i, and 1 n.
3/91
Three letters picked without replacement from uwubbfugu. Give prob of picking 1 g and 2 b.
1/84
Two letters picked without replacement from {p: 1, j: 4, s: 9, f: 2}. Give prob of picking 1 p and 1 f.
1/60
Three letters picked without replacement from vqyqqivqlqlqqiq. Give prob of picking 1 v and 2 q.
8/65
Two letters picked without replacement from {q: 1, y: 4, d: 2, b: 2, l: 3}. Give prob of picking 1 q and 1 b.
1/33
What is prob of picking 3 l when three letters picked without rep | {
"pile_set_name": "DM Mathematics"
} |
33. What is g(-11)?
6
Let n(d) = -12374*d + 49492. Give n(4).
-4
Let s(c) = -5*c**2 + 9*c + 557. Calculate s(12).
-55
Let f(p) = 4*p**3 + 33*p**2 + 188*p + 17. Calculate f(-7).
-1054
Let p(k) = 26*k**2 + 441*k + 53. Calculate p(-17).
70
Let a(x) = 119*x - 490. Determine a(4).
-14
Let n(d) = -d**3 + 13*d**2 - 58*d + 83. Determine n(3).
-1
Let d(k) = -504*k - 9070. Determine d(-18).
2
Let q(a) = 7*a**3 + 48*a**2 + 26*a + 219. What is q(-7)?
-12
Let a(c) = -6*c**2 - 461*c + 5236. What is a(11)?
-561
Let t(u) = 8*u**2 - 114*u + 128. Determine t(13).
-2
Let z(x) = -x**2 - 107*x - 2490. Give z(-73).
-8
Let r(h) = h**3 + 24*h**2 - 27*h - 654. Calculate r(-24).
-6
Let d(b) = 2*b**2 + 109*b - 466. What is d(4)?
2
Let t(f) = 1958*f + 148800. Determine t(-76).
-8
Let f(u) = -u**2 - 753*u + 9977. Calculate f(13).
19
Let f(t) = -36*t - 1336. Calculate f(-37).
-4
Let f(v) = 7*v**2 + 131*v - 828. What is f(6)?
210
Let i(o) = -133*o - 600. What is i(-8)?
464
Let i(s) = -3*s**3 + 76*s**2 + 41*s + 289. What is i(26)?
3
Let h(r) = 421*r - 1260. Give h(3).
3
Let d(t) = -2*t**3 + 111*t**2 - 264*t + 39. Calculate d(53).
92
Let y(x) = -3*x**2 - 2*x + 257. Give y(9).
-4
Let q(y) = y**3 + 2*y**2 - 37*y - 11. Calculate q(5).
-21
Let h(l) = 642*l - 3853. What is h(6)?
-1
Let o(y) = y**2 + 16*y + 7. Determine o(-18).
43
Let x(j) = 24*j - 2. What is x(-6)?
-146
Let a(j) = 53*j - 2288. Give a(43).
-9
Let i(r) = -r**3 + 8*r**2 - 7*r + 41. Give i(7).
41
Let l(h) = -37*h - 1679. What is l(-58)?
467
Let h(w) = -1478*w - 65031. Give h(-44).
1
Let i(d) = -15*d - 702. What is i(-57)?
153
Let y(v) = 3*v**2 + 19*v + 29. Calculate y(-2).
3
Let p(s) = -2*s**2 - 86*s + 52. What is p(-40)?
292
Let y(v) = -v**2 - 18*v + 18. Give y(-14).
74
Let x(g) = -g**2 + 52*g - 234. Calculate x(47).
1
Let j(r) = -8*r - 176. Calculate j(-14).
-64
Let g(t) = -52*t**2 - 15*t - 28. Give g(-2).
-206
Let r(g) = -6*g**3 + 54*g**2 + 6*g + 16. Give r(5).
646
Let h(l) = -5*l**2 + 93*l + 128. What is h(20)?
-12
Let n(o) = -9*o**2 + 220*o - 288. Calculate n(23).
11
Let o(h) = 326*h + 19536. What is o(-60)?
-24
Let f(i) = -1916*i + 3826. What is f(2)?
-6
Let a(i) = 33*i + 357. Give a(-8).
93
Let p(f) = -5*f**3 + 320*f + 15. Calculate p(0).
15
Let t(s) = -50*s - 1157. Calculate t(-23).
-7
Let t(x) = 100*x - 345. What is t(8)?
455
Let d(c) = 2*c**2 - 261*c + 1012. What is d(4)?
0
Let o(v) = -494*v - 17779. Calculate o(-36).
5
Let n(p) = -p**2 + 223*p + 19436. What is n(-67)?
6
Let s(j) = -j**2 + 363*j - 1792. What is s(5)?
-2
Let a(t) = 2*t**3 + 27*t**2 + 5*t + 4. Calculate a(-13).
108
Let l(w) = 2*w**3 - 10*w**2 + 13*w + 1. Give l(3).
4
Let n(f) = 17*f**2 - 224*f + 36. Determine n(13).
-3
Let w(z) = -16*z - 551. Determine w(-25).
-151
Let y(d) = d**3 - 169*d**2 + 343*d - 1507. Calculate y(167).
-4
Let n(c) = -476*c + 2274. Calculate n(5).
-106
Let p(t) = t**3 + 5*t**2 + 2*t + 200. Determine p(0).
200
Let m(c) = 2*c**3 - c**2 - 1. Calculate m(2).
11
Let x(k) = -18*k - 977. Calculate x(-56).
31
Let g(p) = -25*p - 338. Give g(-13).
-13
Let g(x) = -4*x**2 - 448*x + 28. Calculate g(-112).
28
Let s(z) = -z**3 + 9*z**2 - 19*z - 2. Determine s(7).
-37
Let t(i) = i**2 + 35*i + 290. Give t(-13).
4
Let h(b) = -2*b**2 + 148*b - 2521. Determine h(26).
-25
Let p(i) = 2*i**3 - 218*i**2 - 3715*i - 642. What is p(124)?
-22
Let f(o) = -2*o**3 + 37*o**2 + 20*o - 8. Calculate f(19).
11
Let z(o) = -334*o + 2336. What is z(7)?
-2
Let k(d) = -3*d**3 + 30*d**2 + 18*d - 84. Give k(4).
276
Let u(p) = 1552*p + 10900. What is u(-7)?
36
Let z(a) = -35*a - 110. Give z(-5).
65
Let p(l) = 12*l**2 + 102*l + 582. Give p(-6).
402
Let f(m) = -18*m - 685. Give f(-43).
89
Let k(d) = -15683*d + 156827. Calculate k(10).
-3
Let v(j) = j**3 - 22*j**2 + 49*j - 357. What is v(22)?
721
Let w(p) = -p**2 + 34*p + 133. Determine w(-3).
22
Let g(m) = 64*m**2 - 877*m + 3. Give g(14).
269
Let h(r) = -r**3 - 25*r**2 - 19*r + 5. Give h(-24).
-115
Let y(h) = 8*h - 267. Give y(34).
5
Let d(p) = -p**2 - 105*p - 580. Determine d(-99).
14
Let q(s) = -1014*s - 77068. Give q(-76).
-4
Let k(a) = 98*a - 907. What is k(7)?
-221
Let u(d) = 7*d**2 - 127*d + 393. What is u(3)?
75
Let g(f) = 2*f**3 - 33*f**2 + 51*f - 32. What is g(15)?
58
Let l(m) = m**3 - 55*m**2 + 301*m - 39. Calculate l(6).
3
Let v(b) = 13*b**2 - 6*b - 4. Calculate v(-2).
60
Let j(g) = 26*g**2 + 110*g + 2. What is j(-2)?
-114
Let i(v) = -3*v**3 + 52*v**2 - 211*v + 231. Calculate i(12).
3
Let c(i) = i**3 + 20*i**2 + 101*i + 230. Determine c(-14).
-8
Let c(i) = -38*i - 95. Calculate c(-4).
57
Let x(v) = -64*v**3 - 253*v**2 + 11*v + 30. Determine x(-4).
34
Let h(p) = p**2 - p - 160. Give h(-13).
22
Let r(d) = -8342*d + 325330. Give r(39).
-8
Let j(x) = 2*x**2 + 43*x - 117. What is j(12)?
687
Let z(o) = -2*o**3 + 169*o**2 + 437*o - 237. Give z(87).
-63
Let c(v) = v**2 - 81*v + 1451. Determine c(28).
-33
Let f(x) = -1000*x**2 + 4997*x + 5. Calculate f(5).
-10
Let y(d) = -19*d**3 - 72*d**2 + 7*d - 39. Give y(-4).
-3
Let n(v) = v**3 - 28*v**2 - 205*v + 47. What is n(34)?
13
Let k(l) = -45*l**2 - 631*l - 10. What is k(-14)?
4
Let v(x) = -10*x**3 - x**2 + 16*x - 26. Calculate v(3).
-257
Let f(s) = 13*s + 604. Give f(-47).
-7
Let s(o) = -7*o - 487. What is s(-64)?
-39
Let f(a) = -117*a - 1766. Give f(-15).
-11
Let f(u) = 94*u - 1789. Calculate f(19).
-3
Let k(o) = o**3 - 59*o + 120. What is k(2)?
10
Let c(q) = 4*q + 456. Give c(-31).
332
Let f(t) = 441*t + 3609. Calculate f(-8).
81
Let j(z) = -4547*z - 172780. What is j(-38)?
6
Let u(l) = -1411*l - 78991. Give u(-56).
25
Let d(v) = v**3 + 10*v**2 - 6*v + 62. Determine d(-9).
197
Let v(c) = -99*c + 262. Give v(3).
-35
Let s(f) = f**3 - 357*f**2 - 1808*f + 48. Calculate s(-5).
38
Let d(z) = -z**2 - 112*z - 2838. Determine d(-75).
-63
Let p(s) = 168*s**3 - 77*s + 75. Determine p(1).
166
Let n(v) = 194*v + 6221. Determine n(-32).
13
Let q(d) = -9*d - 53. Determine q(-18).
109
Let l(u) = -449*u + 52987. What is l(118)?
5
Let y(o) = 28*o**3 - 2*o**2 + 5*o - 1. Calculate y(2).
225
Let y(n) = n**3 + 15*n**2 - 99*n + 12. Calculate y(-20).
-8
Let s(i) = i**3 + 17*i**2 - 2*i + 66. What is s(-17)?
100
Let h(b) = 10*b + 866. What is h(-80)?
66
Let t(r) = -4*r**2 + 117*r + 1728. Give t(-11).
-43
Let k(r) = -20*r**2 + 131*r - 76. Give k(6).
-10
Let o(h) = h**3 - 100*h**2 - 572*h + 4916. What is o(105)?
-19
Let o(w) = -164*w + 169. Calculate o(1).
5
Let k(z) = z**2 - 6*z - 15. Give k(10).
25
Let c(k) = -13*k - 204. Give c(-15).
-9
Let x(g) = g**3 - 6*g**2 + 75*g - 340. Calculate x(5).
10
Let t(x) = -3*x**2 - 105*x - 306. Determine t(-3).
-18
Let o(t) = -10*t - 861. Give o(-65).
-211
Let f(o) = -60*o - 1075. Determine f(-18).
5
Let x(s) = s**2 - 19*s + 112. Calculate x(5).
42
Let l(a) = -8080*a**2 + 72720*a + 1. Determine l(9).
1
Let q(d) = -7*d**3 + 4*d**2 + 21*d + 18. Calculate q(-1).
8
Let p(t) = 6*t**2 + 487*t + 1397. Determine p(-3).
-10
Let c(m) = m**3 - 14*m**2 - 124*m + 93. What is c(20)?
13
Let s(x) = -3*x**2 - 134*x + 315. What is s(-47)?
-14
Let d(u) = 2*u**3 - 6*u**2 - 130*u + 380. What is d(3)?
-10
Let x(s) = 55*s - 132. Determine x(6).
198
Let w(h) = 38*h - 642. Give w(15).
-72
Let m(j) = 2*j**2 + 51*j - 229. Give m(4).
7
Let t(d) = 2*d**3 - 52*d**2 + 211*d - 9. Determine t(5).
-4
Let g(s) = -s**3 - 15*s**2 + 7*s + 19. Determine g(-15).
-86
Let p(b) = -114*b + 23286. Give p(204).
30
Let h(j) = -7*j**3 - 105*j**2 + 3*j + 33. Calculate h(-15).
-12
Let i(r) = 5*r**2 - 10*r - 24. Calculate i(7).
151
Let j(y) = 2391*y - 2325. Determine j(1).
66
Let u(s) = -2*s**3 + 30*s**2 + 49*s + 266. Determine u(17).
-57
Let s(y) = 22*y**2 + 1569*y + 2026. Calculate s(-70).
-4
Let h(z) = 203*z - 342. What is h(6)?
876
Let l(a) = 93*a + 1296. What is l(-14)?
-6
Let y(c) = -10*c**2 + 67*c + 31. Determine y(7).
10
Let c(u) = u**2 - 39*u - 1697. Give c(65).
-7
Let y(i) = -220*i + 40053. Give y(182).
13
Let c(m) = 2*m**2 - 26*m + 39. Calculate c(12).
15
Let g(n) = n**3 - n**2 - 57*n + 18. Calculate g(-7).
25
Let q(r) = -14*r**3 - 9*r**2 + 2*r + 1. Calculate q(2).
-143
Let f(q) = -3*q**3 - 4*q**2 + 16*q - 2. Determine f(-3).
-5
Let j(p) = -8*p**2 - 4*p + 1030. What is j(11)?
18
Let u(d) = -75*d - 3263. Give u(-44).
37
Let t(a) = -58*a**2 + 1329*a + 49. What is t(23)?
-66
Let s(l) = 165*l - 1 | {
"pile_set_name": "DM Mathematics"
} |
x(p) = p + 16. Let i be x(-12). Let f(y) = -27*y**2 - i*y - 3*y + 13 + 24*y**2. Determine -2*f(w) - 7*m(w).
-w**2 + 2
Suppose 8 = 2*o, 4*s - 18 = -4*o - 2. Let h be s + (-5)/(15/18). Let c(j) = -7*j**2 + 5*j. Let l = -14 + 7. Let q(y) = 8*y**2 - 6*y. What is h*q(b) + l*c(b)?
b**2 + b
Let v(r) = -2*r**2 + 3*r + 129. Let w(a) = -a**2 + a - 2. Calculate 2*v(b) - 6*w(b).
2*b**2 + 270
Let v(f) = -2*f - 6 + f + 2*f - 5*f. Let p be (-8)/10*(6 - (-6)/4). Let s(j) = 1. What is p*s(a) - v(a)?
4*a
Let m(s) = s**2 - s. Let v = -649 - -631. Let u(t) = 12*t**2 - 9*t + 1. Calculate v*m(x) + 2*u(x).
6*x**2 + 2
Let d(y) = -4*y**3 - 317*y**2 - y + 162*y**2 + 2 + 157*y**2. Let i(c) = -17*c**3 + 9*c**2 - 4*c + 9. Give -18*d(u) + 4*i(u).
4*u**3 + 2*u
Let s(r) = -6*r + 483. Let o(x) = 2*x - 160. What is -7*o(n) - 2*s(n)?
-2*n + 154
Let l(o) = -98*o**3 - 13*o**2 - 13*o + 15. Let g(z) = 49*z**3 + 6*z**2 + 6*z - 7. Determine 13*g(p) + 6*l(p).
49*p**3 - 1
Let s(m) = -38*m**3 - 7*m + 7. Let n(t) = -13*t**3 - 2*t + 2. Suppose -7*c = 197 - 246. Give c*n(g) - 2*s(g).
-15*g**3
Let q(p) = -p**2. Suppose -34 = 5*n - 7*n. Suppose 0 = g - n + 16. Let t(s) = 2*s. Give g*q(z) - t(z).
-z**2 - 2*z
Suppose -4*j - 4 = 2*l - 0*l, j - 17 = -5*l. Let d be (10 + l - -4) + -3. Let t = d + -13. Let p(o) = 3*o**2 + 2. Let m(u) = 12*u**2 + 9. Give t*m(y) - 9*p(y).
-3*y**2
Let o(n) = -379*n - 4. Let m(b) = -67466*b - 711. What is 4*m(h) - 711*o(h)?
-395*h
Let j(y) = 2*y - 3. Let n(c) = 2*c - 3. Suppose 3*f + 18 = 12*f. What is f*j(o) - 3*n(o)?
-2*o + 3
Let f(b) = 7*b**2 - 3*b - 8. Let d(p) = 19*p**2 - 8*p - 23. Calculate 4*d(a) - 11*f(a).
-a**2 + a - 4
Let g(v) = -1. Let n be (-2)/14*-2*(-119)/(-17). Suppose n*s + 0 = -2. Let u(h) = -2*h - 4. Let b = 0 + 2. What is b*g(j) + s*u(j)?
2*j + 2
Let m(p) = -2*p + 1. Let d(b) = -b + 1. Let f(t) = 31*t - 16. Let u(k) = 5*d(k) + f(k). Let o(n) = 9*n - 4. Let w(g) = -7*o(g) + 2*u(g). Give 34*m(s) - 6*w(s).
-2*s - 2
Let n(a) = -127*a - 5. Let r(m) = -2*m + 1. Give 2*n(h) + 10*r(h).
-274*h
Let z(u) = 2*u**2 - 11*u - 5. Let y(l) = l**2 - 8*l - 91. Let s be y(15). Let n(h) = -6*h**2 + 32*h + 14. Calculate s*z(f) + 5*n(f).
-2*f**2 + 6*f
Let d(t) = t**2 + 2. Let i(u) = -1. Let j(c) = -6*c + 28. Let h be j(4). Let m(w) = 4*w**2 + 13. Let l(p) = h*i(p) + m(p). Give 18*d(x) - 4*l(x).
2*x**2
Let q(f) = -f**3 - 25*f**2 + 98*f + 378. Let z be q(-28). Let i(m) = 2*m + 0*m - 1 + m - 2. Let s(j) = 0 + j + 1 - 2*j. Calculate z*s(p) - 4*i(p).
2*p - 2
Let w(g) be the third derivative of -g**4/24 + g**3/3 - 121*g**2. Let v(r) = r - 2. Calculate 3*v(i) + 2*w(i).
i - 2
Let f(b) = -4*b + 1. Let g(a) = 42*a + 1. Calculate -6*f(v) - g(v).
-18*v - 7
Let x(j) = -5*j - 2. Let l(o) be the first derivative of -o**2/2 + 208. Calculate 3*l(q) - x(q).
2*q + 2
Let y(i) = -102*i**2 + 5*i - 2. Let n(g) = 203*g**2 - 11*g + 5. Calculate -2*n(l) - 5*y(l).
104*l**2 - 3*l
Let v(j) = 14*j - 481. Let h(t) = 2*t + 2. Calculate -6*h(x) + v(x).
2*x - 493
Let f be 5*12/15 - 28. Let d be 16/f + 16/(-3). Let t(p) = -p**3 - 1. Let j(v) = 5*v**3 + 3. Determine d*t(h) - 2*j(h).
-4*h**3
Let r(t) = 15*t + 489. Let j(n) = -8*n - 249. Determine 11*j(x) + 6*r(x).
2*x + 195
Let x(m) = -174*m**2 + 3*m - 3. Let h(r) = -13398*r**2 + 232*r - 232. What is -3*h(g) + 232*x(g)?
-174*g**2
Let q be 1/(2 - 5)*-3. Let h be q*5 + (1 - 3). Suppose 0 = -2*c + 6, 2*y = -h*y - c - 57. Let m(p) = -9*p - 1. Let r(v) = 22*v + 2. Give y*m(x) - 5*r(x).
-2*x + 2
Let s(w) = -2*w**3 - 6*w**2 - 2. Let n(m) = -m**3 - 4*m**2 - 1. Calculate -4*n(y) + 3*s(y).
-2*y**3 - 2*y**2 - 2
Let n(w) = 5*w**3 - 39*w**2 - w + 8. Let c(i) = -i**3 + 10*i**2 - 2. Determine -9*c(d) - 2*n(d).
-d**3 - 12*d**2 + 2*d + 2
Let y(m) = -7*m + 3. Let v be (-8*8/160)/((-1)/10). Let z(s) = s**3 + 2. Let k be z(0). Let h(x) = -v*x - 389 - k*x + 391. Calculate -6*h(f) + 5*y(f).
f + 3
Let q = 3 - 0. Suppose 0 = 2*p + q*p. Let y be 1 - (2 - (0 + p)). Let d(i) = 6*i - 5. Let l(m) = -m + 1. Give y*d(z) - 4*l(z).
-2*z + 1
Let r(v) = 3*v**2 + 4*v + 6. Let o(y) be the first derivative of 2*y**3 + 7*y**2/2 + 11*y + 20. Give 6*o(j) - 11*r(j).
3*j**2 - 2*j
Let f(a) = 70*a**3 - 6*a**2 - 6*a + 6. Let h(i) = -70*i**3 + 4*i**2 + 5*i - 4. Calculate 2*f(x) + 3*h(x).
-70*x**3 + 3*x
Let z(w) = 207*w**2 - 39*w - 27. Let l(c) = 16*c**2 - 3*c - 2. Calculate 27*l(n) - 2*z(n).
18*n**2 - 3*n
Let r(b) = -2*b**2 + 16*b + 3. Let i(g) = g**3 + g**2 - g. What is -2*i(v) - r(v)?
-2*v**3 - 14*v - 3
Let i(m) = -6*m + 1. Suppose -590*z = -588*z - 22. Let c(k) = 2*k. What is z*c(v) + 4*i(v)?
-2*v + 4
Let u(g) = -3*g + 4. Let z(p) = 3*p - 5. Let r = 342 - 345. Suppose 3*j - 2*j = -4. Calculate j*u(q) + r*z(q).
3*q - 1
Let z(a) = -a + 5. Let k(p) = 3*p - 17. Let y(t) = 4*k(t) + 14*z(t). Suppose 2*i - i - 2 = 0. Let x(n) = -n**3 - n - 1. What is i*x(f) - y(f)?
-2*f**3 - 4
Let f(z) = -z. Let x be ((-6)/5)/((-2)/5). Let t be (-1 + x)*6/(-2). Let p be (-4)/t*3/2. Let l(b) = -b**2 + 3*b. What is p*f(g) + l(g)?
-g**2 + 2*g
Let h(v) = -4*v**3 - 2*v**2 - 70*v + 3. Let p(g) = 13*g**3 + 7*g**2 + 212*g - 10. What is -7*h(q) - 2*p(q)?
2*q**3 + 66*q - 1
Let m(z) = 2*z**2 - 5*z + 5 - 2*z + 2*z + 7*z. Let n(r) = 3*r**2 + 3*r + 9. Give 5*m(i) - 3*n(i).
i**2 + i - 2
Let z(s) = -s + 2. Let y(k) = 3*k - 6. Suppose p + 0*p - 2*j + 6 = 0, -35 = -5*p - 3*j. Let m = 7 - p. Suppose -2*u + 13 = -m. Calculate u*z(i) + 3*y(i).
i - 2
Suppose -4*f - 5*z - 18 = 14, 8 = -2*z. Let c = 21 - 23. Let y(g) = -g. Let r(t) = -1. Calculate c*y(d) + f*r(d).
2*d + 3
Let m(z) = 4*z - 3. Suppose -56 - 16 = -4*f. Let t = f - 28. Let o(g) = g**2 + 11*g + 13. Let u be o(t). Let c(j) = -2*j + 2. Give u*m(b) + 5*c(b).
2*b + 1
Let o(w) = 5*w**3 - 8*w**2 - 8*w + 2. Let z be -3*(20/(-4) - -4) - -18. Suppose -z*r - 6 = -23*r. Let f(m) = 2*m**3 - 3*m**2 - 3*m + 1. Give r*o(j) - 8*f(j).
-j**3 - 2
Let q(z) = 5*z**3. Let a = 5 + -3. Let j(y) = 4*y**3 + 7*y**3 - y + y. Let v(o) = o**3 - 6*o**2 - 104*o + 334. Let c be v(3). What is a*j(m) + c*q(m)?
-3*m**3
Let v(m) = -m**2 - m. Let y(h) be the third derivative of h**5/12 - h**3/3 + 8*h**2 - 4*h. What is 2*v(c) + y(c)?
3*c**2 - 2*c - 2
Let m(b) = b**3 + 3*b**2 - 3. Let g(r) = -r + 7. Let x be g(5). Suppose -2 - 4 = -x*w. Let u(p) = 2*p**3 - 8 + p - p + 0*p**w + 8*p**2. Give 8*m(d) - 3*u(d).
2*d**3
Let n(s) = -2*s**2 + 86*s - 1. Let r(a) = -4*a**2 + 168*a - 2. Determine -9*n(q) + 4*r(q).
2*q**2 - 102*q + 1
Let z(k) = 11*k**2 + 11*k + 6. Let t(i) = 32*i**2 + 34*i + 17. Determine 6*t(v) - 17*z(v).
5*v**2 + 17*v
Let y(w) be the first derivative of -3*w**4/4 - 7*w + 103. Let a = 12 + -15. Let i(h) = 3 - 2*h**3 + 4*h**3 - h**3. Calculate a*y(v) - 7*i(v).
2*v**3
Let k(g) = 9*g**3 - g**2 - 5*g + 3. Let r(s) = 26*s**3 - 2*s**2 - 14*s + 8. Let t be -11 + (2 - (1 + -3)) + 15. Give t*k(b) - 3*r(b).
-6*b**3 - 2*b**2 + 2*b
Let c(r) = -2*r - 19. Let n(b) = b + 17. What is -4*c(j) - 6*n(j)?
2*j - 26
Let q(m) be the first derivative of 7*m**2 - 18*m - 174. Let u(r) = 5*r - 6. What is -4*q(y) + 11*u(y)?
-y + 6
Let p(t) = 4*t**2 + 49*t - 49. Let w be p(1). Let u(b) = 2*b**3 - b**2 - 3. Let h(j) be the first derivative of j + 1. Calculate w*h(g) + u(g).
2*g**3 - g**2 + 1
Let t(v) = 4*v**2 - 24*v + 17. Let s(q) = -q**3 + 3*q**2 + 5*q + 19. Let l be s(5). Let z(n) = 2*n**2 - 12*n + 8. Give l*t(c) + 13*z(c).
2*c**2 - 12*c + 2
Let o(z) = -2*z**2 + 26*z - 5. Let l(q) = -4*q**2 + 52*q - 11. Determine -4*l(b) + 9*o(b).
-2*b**2 + 26*b - 1
Suppose -8 - 2 = -5*m. Let t(v) = -3 + m*v + 3*v - 1. Let s(r) = 6*r - 5. Let f = 144 + -140. Give f*s(b) - 5*t(b).
-b
Let f(d) = -19*d - 1. Let n(y) = -19*y. What is 5*f(s) - 4*n(s)?
-19*s - 5
Let d(t) = 2*t. Let v(y) = -3*y. Suppose 4*f = -4*q + 4, 6 = -2*q - q. Let g(h) = h. Let o(m) = f*v(m) + 24*g(m). Determine -20*d(i) + 3*o(i).
5*i
Let d(p) be the second derivative of -p**3/3 + 5*p**2/2 - 3*p + 2. Let h(o) = 6*o - 14. Suppose -4*j + 32 = -4*f, -2*f + 2*j = -2*j + 22. Give f*h(i) - 14*d(i).
-2*i
Let j(o) = -13*o - 10. Let p(q) = -6*q - 6. Calculate -2*j(z) + 5*p(z).
-4*z - 10
Let d(h) be the third derivative of h**6/60 + h**5/30 + 2*h**3/3 - 86*h**2. Let k(m) = -m**3 + m**2 + 1. What is d(s) - 2*k(s)?
4*s**3 + 2
Let i(p) = 10 + 11 + 10*p - 28 + 15 + 1. Let d(h) = -h - 1. What is -6*d(k) - i(k | {
"pile_set_name": "DM Mathematics"
} |
+ 2*x**4 + 0*x**3 + 2*x**4 + 0*x**3 + 0*x**4 + 3*x**4 - x**4 + (4 - 3 - 3)*(-x**4 - 2*x**4 + 2*x**4) - 54*x**4 - 14*x**4 - 50*x**4.
-110*x**4
Expand 44 - 44 + 7*p**3 + (2*p + 2 + 0 - 27)*(2*p**2 + 5*p**2 - p**2).
19*p**3 - 150*p**2
Expand (-79 - 243 - 48 + 56)*(2*w - 2*w + w).
-314*w
Expand (9*z - 9*z - 6*z**2 + (z - z - z)*(-9*z + 11*z + 7*z))*(-5*z + 4*z - z).
30*z**3
Expand 3 - 3 + n + n + 2*n - 2*n + (0 + 2 - 3)*(-1 + n + 1) + 4*n - 4*n - 3*n + 55 + 27 + 92*n - 87.
90*n - 5
Expand (-3 + 6 - 5)*(-5*z**5 + 15*z**5 + 3*z**5) + (4*z**2 - 7*z**2 + 4*z**2)*(2*z**3 - 2*z**3 + 2*z**3) + (-z - z**4 + z)*(-z - 2*z + z).
-22*z**5
Expand (8*q + 12*q - 6*q)*(0*q + 2*q - q) + q**2 - 17*q**2 + q**2.
-q**2
Expand (-1 - 2*v + 1 + 26 - 26 - 3*v + (-1 + 0 + 0)*(-4*v + 5*v - 2*v))*(2*v**2 + 0*v + 0*v).
-8*v**3
Expand (3*o - 2*o - 3*o + (0 + 0 + 2*o)*(4 - 1 - 4))*(267 - 267 + 26*o**3).
-104*o**4
Expand (i + i - i)*(0*i**2 + i**2 + 0*i**2)*(4 + 12315*i - 12316*i - 1).
-i**4 + 3*i**3
Expand (1 - 1 + g**3)*(-2 - 1 - 2 - 2).
-7*g**3
Expand (1 - 1 + 1)*(s**3 - s**3 + 2*s**3) + 0*s**3 + 2*s**3 - 3*s**3 + (-4 + 2*s + 4)*(0*s**2 + 5*s**2 - 7*s**2) + 12*s**3 - 7*s**3 + 5*s**3.
7*s**3
Expand (4 + d - 4)*(2*d + d - 2*d) + (d - 6*d + 4*d)*(-7751 - 516*d + 7751).
517*d**2
Expand (s - 2*s + 43*s)*(3*s**4 - 4*s**4 + 2*s**4 + (s - 3*s + s)*(-2*s + 2*s - s**3) - 3*s**4 + 10*s**4 + 2*s**4).
462*s**5
Expand (11*h**4 + 86*h + 1 - 86*h + h**3 + h**2)*(-3 + 0 + 2).
-11*h**4 - h**3 - h**2 - 1
Expand (-58*o**2 + 592*o - 592*o)*(2*o + 0*o - o).
-58*o**3
Expand (-7 + 8 + 0)*(-10*l - 8*l + 14*l) + (l - 3*l + 0*l)*(0 + 3 - 2) - 3 + 3 + l.
-5*l
Expand (4*y - 4*y - y)*(0*y + 0*y - 2*y**3) + 31*y**4 - 11*y**4 - 14*y**4.
8*y**4
Expand (2 + 0 - 3)*(-2*g + g + 2*g + (-2*g + 1 - 1)*(22 - 46 - 25) - g - 3*g + 7*g).
-102*g
Expand -6*b**2 + b**3 + 6*b**2 - 3*b**2 + 2*b**3 + 3*b**2 + (-5*b + 2*b + b)*(2*b**2 + 0*b**2 + 0*b**2) + (7*b + b - 3*b)*(21*b**2 - 3*b**2 - 5*b**2).
64*b**3
Expand (a**2 - 3*a + 3*a)*(0 - 13 + 7 - 8 + (-2 + 1 + 0)*(-1 - 1 + 4) + 1 + 4 - 4 + 3 + 3 - 5).
-14*a**2
Expand (-l**4 + 2*l**4 + l**4)*(3 - 7 + 2) + l**4 + 3*l - 3*l + (2 - l - 2)*(15*l**3 + 6*l**3 + 9*l**3).
-33*l**4
Expand (-3*f**3 - 3*f**3 - f**3)*(-32 + 4 + 0)*(-4*f + 2*f + 3*f).
196*f**4
Expand (u**3 + 2*u**4 - u**3)*(76*u - 15*u - 32*u).
58*u**5
Expand (-10*k + k + k + (3 - 2 + 1)*(k + k - 4*k))*(-4 + 2 + 0).
24*k
Expand (0*g**2 - 2*g**2 + 0*g**2)*(g - g + 2*g**2) + 59*g**4 - 262*g**4 + 12*g**2 - 12*g**2.
-207*g**4
Expand (4*g + 3*g + 9*g)*((0*g - 2*g + 5*g)*(-2*g + 2*g - g**2) - 3*g**3 + 4*g**3 + 0*g**3).
-32*g**4
Expand (-b + 3*b - b)*(0 + 0 - 2*b**2) + (b**2 + b**2 + 0*b**2)*(5*b + 0*b - 3*b) + 20*b - 20*b + 16*b**3 + 0*b**2 - 2*b**3 + 0*b**2.
16*b**3
Expand -2*s**4 + 0*s**4 + 0*s**4 + 1 - 1 - 2*s**4 + (-2*s**3 - 2*s + 2*s)*(-2*s + 4*s + 0*s) + 3*s**4 - s**4 - 3*s**4 + 9*s**3 + 2*s**4 + 27*s**3 + 64*s**3.
-7*s**4 + 100*s**3
Expand (2*y**2 + 7*y**2 + 2*y**2)*(-10 + 8 + 5).
33*y**2
Expand (2*m**2 + 3*m - 3*m + (1 - m**2 - 1)*(-1 + 0 - 1) - 5*m**2 + 2*m**2 + 5*m**2)*((-4*m + m + 4*m)*(-2 + 1 - 1) + m + 4 - 4 + (4*m + 0 + 0)*(5 - 8 + 14)).
258*m**3
Expand 69*l - 69*l + 6*l**3 + (-5*l + 2*l + l)*(13*l**2 - l**2 + 2*l**2).
-22*l**3
Expand (j**2 + 0*j**2 - 3*j**2)*(4 - 4 - 1) + j**2 - j + j + 351*j**2 + 68 - 68 + 825*j**2.
1179*j**2
Expand -42*j**2 + 3539*j - j**5 + 3540*j - 7080*j + (-j**3 - j**3 + j**3)*(j**2 - 4*j**2 + j**2).
j**5 - 42*j**2 - j
Expand (f + 4*f - 2*f)*(-40 + 2*f**2 + 63 + 27).
6*f**3 + 150*f
Expand (1 - 1 - 1)*(y + 0 + 0) + 4*y + 3 - 3 + (3 + 0 - 1)*(0*y + y + y) + (2 + 5 + 1)*(122 - 122 + 18*y).
151*y
Expand -t**3 + t - 3*t**2 - t - 20*t**3 - 7*t**3 + 12*t**3 + (-2*t**3 - 2*t + 2*t)*(2 + 2 - 5).
-14*t**3 - 3*t**2
Expand (-2*k**3 - 1 + 1)*(-4*k**2 + 3*k**2 + 3*k**2) + 42*k**2 + 16 + 89 - 39*k**5 - 105.
-43*k**5 + 42*k**2
Expand 25*x**5 + 1054*x**3 + 2*x - 1054*x**3 + (2*x**2 - 2*x**2 - 3*x**3)*(3 - 3 - x**2).
28*x**5 + 2*x
Expand o**4 - 3*o**4 + 3*o**4 + (o**3 + 0*o**3 - 2*o**3)*(2 + o - 2) - 5*o**4 + 2*o**4 + o**4 - 5*o + 5*o + 2*o**4 - 3 + 3 - o**4 - 13*o**4 - 49*o**3 + 49*o**3.
-14*o**4
Expand ((-2 + 0 + 0)*(0 + 3 - 5) + 1708 + 233 - 262)*(d**2 + d + d + 0*d).
1683*d**2 + 3366*d
Expand 2*x**5 + 2*x**4 - 2*x**4 + 1 - 1 - x**5 - 3*x**5 + 4*x**5 + 0*x**5 + (6*x**3 + x**3 - x**3)*(-x**2 + 3 - 3) + 3 + 2*x**5 - 3.
-2*x**5
Expand (-u - u**2 + u)*(-3 + 3 - 3)*(0*u**2 + 9*u**2 + 0*u**2) + 3*u**4 - 2*u**4 - 2*u**4 + (-u**2 + u**2 + 2*u**2)*(-u**2 + u**2 - u**2) - 2*u**4 + 3*u - 3*u.
22*u**4
Expand (7*t - 5*t + 10*t)*(-3*t - 8*t + 28*t).
204*t**2
Expand (-3*o + 0*o + o)*(-2 - 5 + 5)*(-18 - 1 - 29).
-192*o
Expand 2*l**3 + 3*l**2 - 3*l**2 + (2*l**3 + l**2 - l**2)*(1 - 1 + 1)*(16 + 13 + 3).
66*l**3
Expand (-2 - 1 + 12)*(1 - 1 - 2*g**2) + 10*g**2 + 6*g - 6*g.
-8*g**2
Expand (144*t - 5 - 152*t + 1)*(3 - 3 + 2*t).
-16*t**2 - 8*t
Expand (-131 + 278 - 353*x**2 - 147)*(2*x**3 - 3*x**3 - x**3).
706*x**5
Expand (5 - 4 - 4)*(181 - 203 - 118)*(c**2 + 3 - 3).
420*c**2
Expand -118*x**3 + x**4 + 2*x + 118*x**3 + (-3*x**4 + x**4 + x**4)*(3 - 6 + 2).
2*x**4 + 2*x
Expand (-2 - i**2 + 2)*(1 - 4 + 2) + i**2 - 5*i**2 + 0*i**2.
-3*i**2
Expand 0*s + 2*s - 4*s + 4 + s - 4 + (3 - 4 + 3)*(2*s + 2*s - 5*s) + 2*s - 4*s + 0*s.
-5*s
Expand x**3 + 12*x**5 - x**3 - x**5 + 3*x**3 - 3*x**3 + (6*x**2 + 4 - x**2 - 7*x**2)*(2*x**3 - 2*x**3 + x**3 + (3 - 3 + 1)*(3 - 2*x**3 - 3)).
13*x**5 - 4*x**3
Expand (-4*v - v + 4*v)*((-1 + 2 + 1)*(1 + 2*v**2 - 1) + 46*v**2 + 7*v**2 - 14*v**2).
-43*v**3
Expand (0*k + 0*k + 5*k**2)*(-k**3 - 2*k**3 + k**3) + (4*k**4 - 4*k**4 + 2*k**4)*(0*k - 3*k - 1 + k).
-14*k**5 - 2*k**4
Expand (-4*v - 37 + 37)*(4*v + 0*v + v)*(-4 - 3 + 4).
60*v**2
Expand (0 - 1 + 7)*(-5*y**4 - 22*y**2 + 22*y**2) + 2*y**2 - 5*y**2 + 2*y**4 + 2*y**3 + 4*y**2.
-28*y**4 + 2*y**3 + y**2
Expand 6*i + 5*i - 3*i + 1 - 2*i - 1 - 2 + 2 + 2*i + (1 - 4 + 4)*(4*i - 3*i + i) + 2*i + i - 2*i - 7*i - i + 0*i.
3*i
Expand (-1 - 2 + 1)*(-4*f - 4*f + 6*f) + 2*f + 5 - 5 + 5*f - 5*f - 2*f + 1 + 0 + 3*f + 0 + (-2 + 2 - 2)*(-3*f + 4*f + 0*f).
5*f + 1
Expand (0 + 0 - s + (1 + 4 - 3)*(-3*s + s + 4*s) + (4 - 2 - 1)*(0 + 0 - s)*(4 - 3 + 0))*(-2 - 3 + 1)*(-s - 1 + 1).
8*s**2
Expand (621 - 387 - 469)*(n**2 - 4*n**2 + 4*n**2).
-235*n**2
Expand (-3 + 3 - 2)*((-4 + 0 + 6)*(-2*s + s - s) - 138*s - 27*s + 8*s).
322*s
Expand s - 2*s - 3*s + (3 - 4 + 0)*(-s + s + s) + 0*s + 3*s - 4*s - 32 - 31*s + 32.
-37*s
Expand (9*y - 16 + 16)*(-2 - 4*y**2 + 0*y**2 + y**2).
-27*y**3 - 18*y
Expand (-3 - r + 3)*(-200 + 25*r**2 - 17*r**2 - 10*r**2).
2*r**3 + 200*r
Expand (3*a + 0*a - 5*a)*(-3 + 3582*a - 14 + 29 - 12).
-7164*a**2
Expand (-13*f + 2*f + 2*f)*(-f + 1 - 1) + (0*f**2 + 2*f**2 + 0*f**2)*(0 - 4 + 2) + 4*f**2 + 0*f**2 + f**2.
10*f**2
Expand (z**4 + 0*z**2 + 0*z**2)*(0 - 21 + 3)*(4*z + 5*z - 5*z).
-72*z**5
Expand (-2*q**2 + 7*q**2 + 0*q**2)*(-q - 5*q + 4*q) - 4*q**3 - 3*q**3 + 4*q**3.
-13*q**3
Expand (-38 + 38 - q**3)*(4 - 4 - 3*q)*(-13 - 9 + 6).
-48*q**4
Expand -75*z**5 - 714*z**3 + 714*z**3 + (-2*z**3 - 4*z**3 + 7*z**3)*(0*z**2 + 4*z**2 - 3*z**2) - 2*z**5 + 0*z**5 + 0*z**5.
-76*z**5
Expand 0*r + 2*r + 0*r + (-r - 4*r + 3*r)*(-11 - 23 + 6).
58*r
Expand 3*p**2 - 2*p**2 + 2*p**2 + (-3 + 4 - 2)*(-p**2 - 5*p**2 + 2*p**2).
7*p**2
Expand (-2*s + 3 - 3)*(16*s + s**3 - 16*s)*(0 - 2 + 5) + 4*s**4 - 9*s**4 + 18*s**4.
7*s**4
Expand (-2*d + 28*d - 4*d)*(-3 + 1 + 0)*(-64*d**2 - 12*d**4 + 64*d**2).
528*d**5
Expand (-2 + 2 - 3*g**5)*(5 - 1 - 1 + 2 + 1 - 2 + (-2 + 6 - 3)*(-4 + 0 + 2) + 0 - 2 + 1 + (0 - 1 + 3)*(-2 + 0 + 1) + 0 - 8 + 3).
18*g**5
Expand (7 + 4*n**4 - 5*n**4 - 2*n**4)*((0 - 1 - 1)*(-5 + 0 + 9) - 1 - 1 - 1).
33*n**4 - 77
Expand 5*p - 5*p + p + (2 - 1 + 1)*(2*p + 2 - 2) + (1 - 3 + 1)*(1 - 1 + p) + 5*p + 3*p + 4*p.
16*p
Expand (3*c + 0*c - c)*(-175*c**4 - 137829 + 137829 + 2*c**2).
-350*c**5 + 4*c**3
Expand (72*j**3 - 72*j**3 + 12*j**4)*(0*j - 3*j + 4*j + 1 - j - 1 + (2 - 5 + 2)*(1 + j - 1) + (-2*j + 3*j - 3*j)*(6 - 2 - 3)).
-36*j**5
Expand (-1 + 0 + 0)*(-6*y**5 + 3*y**5 + 4*y**5) - 66*y**5 - 67*y**5 + 127*y**5 - 11*y**3.
-7*y**5 - 11*y**3
Expand (0 + 0 - 2)*(-3*z + 2*z + 46*z**3 + 0*z).
-92*z**3 + 2*z
Expand 0 - 3 + 1 + 2*g**2 - g**5 + (127*g**4 - 95*g**4 - 109*g**4)*(2*g - 3*g - g).
1 | {
"pile_set_name": "DM Mathematics"
} |
*2 + 11052*a - 10178892 = 0.
1842
Solve -2*b**5/9 + 10*b**4/9 + 26*b**3/9 + 14*b**2/9 = 0.
-1, 0, 7
Find l such that l**5/4 + 23*l**4/8 - 55*l**2/4 + 59*l/4 - 33/8 = 0.
-11, -3, 1/2, 1
Suppose -168*q**4 + 123*q**3 + 810*q**2 + 579*q + 60 = 0. Calculate q.
-1, -1/8, 20/7
Factor 2*m**3/9 + 2*m**2 + 4*m.
2*m*(m + 3)*(m + 6)/9
Find o such that -5*o**4 - 5*o**3 = 0.
-1, 0
Suppose 16*y**3/19 + 2*y**2/19 - 16*y/19 - 2/19 = 0. Calculate y.
-1, -1/8, 1
Factor -92455*l**3 - 5125*l**2/3 + 245*l/3 + 5/3.
-5*(33*l - 1)*(41*l + 1)**2/3
Factor 2*j**3/3 - 118*j**2/3 + 112*j/3 + 232/3.
2*(j - 58)*(j - 2)*(j + 1)/3
What is p in -4*p**3/3 + 1934*p**2 - 935089*p + 904231063/6 = 0?
967/2
Factor 2*v**3 + 44*v**2 + 182*v + 204.
2*(v + 2)*(v + 3)*(v + 17)
Suppose t**4/4 - 13*t**3/4 - 4*t**2 + 7*t = 0. Calculate t.
-2, 0, 1, 14
Determine h, given that 243*h**5/5 + 1242*h**4/5 + 369*h**3 + 186*h**2 + 12*h/5 - 72/5 = 0.
-3, -1, -2/3, 2/9
Factor -x**3/7 + 177*x**2/7 - 176*x/7.
-x*(x - 176)*(x - 1)/7
Factor -n**4/4 + 2*n**3 - 23*n**2/4 + 7*n - 3.
-(n - 3)*(n - 2)**2*(n - 1)/4
Factor 2*d**2/3 + 56*d/3 + 130.
2*(d + 13)*(d + 15)/3
Suppose m**2 - 538*m + 2136 = 0. Calculate m.
4, 534
Determine r, given that -3*r**5/7 - 45*r**4/7 - 33*r**3/7 + 129*r**2/7 + 36*r/7 - 12 = 0.
-14, -2, -1, 1
Factor 2*l**2/3 + 24*l + 136/3.
2*(l + 2)*(l + 34)/3
Suppose 4*s**4/5 - 612*s**3/5 + 5244*s**2/5 - 1708*s - 2880 = 0. What is s?
-1, 5, 144
Solve n**4/2 - 93*n**3/2 + 89*n**2 + 186*n - 364 = 0.
-2, 2, 91
Find j such that -4*j**4/7 - 92*j**3/7 - 712*j**2/7 - 2064*j/7 - 1440/7 = 0.
-10, -6, -1
Factor n**3/3 + 71*n**2/3 + 184*n/3 - 14812.
(n - 21)*(n + 46)**2/3
Factor n**2/3 - 25*n/3.
n*(n - 25)/3
Find v such that v**4/9 - 13*v**3/9 + 46*v**2/9 - 16*v/3 = 0.
0, 2, 3, 8
Determine b so that b**4/2 + 5*b**3/2 - 3*b**2/2 - 45*b/2 - 27 = 0.
-3, -2, 3
Let -m**4/2 - 9*m**3/2 - 13*m**2 - 12*m = 0. Calculate m.
-4, -3, -2, 0
Let 3*z**3/4 - 12*z**2 + 123*z/4 - 39/2 = 0. Calculate z.
1, 2, 13
Find w, given that -2*w**2 - 40*w - 192 = 0.
-12, -8
Suppose -2*f**2/7 + 202*f/7 + 412/7 = 0. Calculate f.
-2, 103
Factor i**4 + 94*i**3/3 - 64*i**2/3.
i**2*(i + 32)*(3*i - 2)/3
Let 2*h**2/5 - 20*h + 98/5 = 0. Calculate h.
1, 49
Factor -3*x**5 + 393*x**4 - 1524*x**3.
-3*x**3*(x - 127)*(x - 4)
Solve 144*l**5/7 + 338*l**4/7 - 40*l**3/7 - 330*l**2/7 - 104*l/7 - 8/7 = 0 for l.
-2, -1, -2/9, -1/8, 1
Suppose 8*l**5 - 12*l**4 - 4*l**3 + 12*l**2 - 4*l = 0. Calculate l.
-1, 0, 1/2, 1
Solve -5*w**2 + 190*w - 185 = 0.
1, 37
What is i in 2*i**2 + 52*i - 310 = 0?
-31, 5
Factor h**5/5 - 4*h**4/5 + 3*h**3/5 + 4*h**2/5 - 4*h/5.
h*(h - 2)**2*(h - 1)*(h + 1)/5
Determine r, given that -r**2/2 - 27*r/2 - 46 = 0.
-23, -4
Let g**4/5 - 37*g**3/5 - 118*g**2/5 - 16*g = 0. Calculate g.
-2, -1, 0, 40
Factor -4*j**3/5 - 32*j**2/5 - 52*j/5 - 24/5.
-4*(j + 1)**2*(j + 6)/5
Solve 6*s**5 - 2878*s**4/5 + 68924*s**3/5 + 4992*s**2/5 - 9216*s/5 = 0.
-2/5, 0, 1/3, 48
Factor -92*a**2/3 - 80*a/3 + 4.
-4*(a + 1)*(23*a - 3)/3
Let 5*g**4 - 110*g**3 - 245*g**2 + 110*g + 240 = 0. What is g?
-2, -1, 1, 24
Determine m, given that m**3 + 8*m**2 - 45*m + 36 = 0.
-12, 1, 3
Factor -2*g**3/13 - 4*g**2/13.
-2*g**2*(g + 2)/13
Factor y**3/5 + 41*y**2/5 - 132*y/5.
y*(y - 3)*(y + 44)/5
Find f such that -9*f**5 - 24*f**4 + 30*f**2 + 9*f - 6 = 0.
-2, -1, 1/3, 1
Factor 2*q**5/3 - 10*q**4/3 - 26*q**3/3 - 14*q**2/3.
2*q**2*(q - 7)*(q + 1)**2/3
Determine c so that -35*c**3 - 960*c**2 + 575*c + 420 = 0.
-28, -3/7, 1
Solve 2*p**2/7 + 562*p/7 - 1132/7 = 0 for p.
-283, 2
Factor -a**4/5 - 24*a**3/5 - 143*a**2/5 + 24*a/5 + 144/5.
-(a - 1)*(a + 1)*(a + 12)**2/5
Factor 4*x**5 - 184*x**4 + 436*x**3 + 38640*x**2 + 176400*x.
4*x*(x - 30)**2*(x + 7)**2
Determine v so that 5*v**4/4 - 320*v**3 + 5595*v**2/2 - 4600*v - 30875/4 = 0.
-1, 5, 247
Suppose -12*z**5 + 522*z**4 - 24147*z**3/4 + 7467*z**2 + 19593*z/4 + 1323/2 = 0. What is z?
-1/4, 2, 21
What is d in 3*d**4/5 + 171*d**3/5 + 66*d**2 = 0?
-55, -2, 0
Factor 2*w**3/7 - 30*w**2/7 + 52*w/7.
2*w*(w - 13)*(w - 2)/7
Factor i**2/2 - 235*i/2 + 117.
(i - 234)*(i - 1)/2
Factor -5*o**3 + 935*o**2 - 27000*o - 1691280.
-5*(o - 108)**2*(o + 29)
Suppose -2*z**2/13 - 17024*z/13 - 36227072/13 = 0. What is z?
-4256
Let w**4/3 + 4*w**3 - 29*w**2/3 - 4*w + 28/3 = 0. Calculate w.
-14, -1, 1, 2
Determine d, given that -d**3/2 - 11*d**2/2 - 14*d = 0.
-7, -4, 0
Factor 15*c**2/4 - 129*c/2 + 72.
3*(c - 16)*(5*c - 6)/4
Factor -2*f**2/3 - 250*f + 752/3.
-2*(f - 1)*(f + 376)/3
Factor -w**2 + 17*w/6 + 53.
-(w + 6)*(6*w - 53)/6
Factor -120*d**3 + 151*d**2 - 33*d + 2.
-(d - 1)*(8*d - 1)*(15*d - 2)
Factor 3*t**3/5 + 279*t**2/5 + 6192*t/5 + 5916/5.
3*(t + 1)*(t + 34)*(t + 58)/5
Let m**2/5 - 64*m/5 - 13 = 0. Calculate m.
-1, 65
What is q in -3*q**3/4 - 87*q**2/2 = 0?
-58, 0
Determine q so that 2*q**3/5 + 14*q**2/5 - 146*q/5 + 26 = 0.
-13, 1, 5
Solve 3*v**2/4 - 195*v/2 + 12675/4 = 0 for v.
65
Find t such that -t**4/4 + 60*t**3 - 7079*t**2/2 - 7260*t - 14641/4 = 0.
-1, 121
Factor a**2 + 29*a - 132.
(a - 4)*(a + 33)
Solve 4*s**5 - 12*s**3 + 8*s**2 = 0 for s.
-2, 0, 1
Find v such that 3*v**2/5 + 39*v/5 = 0.
-13, 0
Find k such that 35*k**5 + 32*k**4 - 75*k**3 + 4*k**2 + 4*k = 0.
-2, -1/5, 0, 2/7, 1
Factor 3*n**4 + 126*n**3 + 765*n**2 + 1050*n.
3*n*(n + 2)*(n + 5)*(n + 35)
What is g in 30*g**5/7 - 356*g**4/7 + 1032*g**3/7 + 144*g**2/7 = 0?
-2/15, 0, 6
Suppose k**4/3 + 28*k**3 + 2644*k**2/3 + 12320*k + 193600/3 = 0. What is k?
-22, -20
Determine d, given that -2*d**2/11 - 410*d/11 = 0.
-205, 0
Find m such that -6*m**3/13 + 584*m**2/13 + 986*m/13 + 396/13 = 0.
-1, -2/3, 99
Let -2*r**3/11 - 16*r**2/11 = 0. What is r?
-8, 0
Factor -2*w**3/3 - 44*w**2/3 + 46*w/3.
-2*w*(w - 1)*(w + 23)/3
Factor 9*q**4 - 19*q**3 - 8*q**2 + 20*q.
q*(q - 2)*(q + 1)*(9*q - 10)
Factor -u**5/5 - 7*u**4/5 + 18*u**3/5.
-u**3*(u - 2)*(u + 9)/5
Factor -u**2/2 - 1535*u/2 - 1533.
-(u + 2)*(u + 1533)/2
Suppose -5*n**5 + 85*n**4 + 195*n**3 - 85*n**2 - 190*n = 0. What is n?
-2, -1, 0, 1, 19
Determine n, given that 2*n**4/7 - 192*n**3/7 + 5148*n**2/7 - 25920*n/7 + 36450/7 = 0.
3, 45
Let 37*f**2/8 - 9*f/2 - 1/8 = 0. What is f?
-1/37, 1
Let 2*y**2/5 - 44*y/5 + 42/5 = 0. Calculate y.
1, 21
Let 3*o**3/4 + 30*o**2 + 111*o/4 - 117/2 = 0. What is o?
-39, -2, 1
Factor -66*g**3 + 74*g**2 - 8*g.
-2*g*(g - 1)*(33*g - 4)
Suppose -28*a**4 + 200*a**3 - 416*a**2 + 256*a = 0. What is a?
0, 8/7, 2, 4
Find f such that f**4/7 - 474*f**3/7 - 475*f**2/7 = 0.
-1, 0, 475
Suppose 3*v**5/8 + 72*v**4 + 573*v**3/8 = 0. Calculate v.
-191, -1, 0
Suppose -w**4/4 - 43*w**3/4 - 315*w**2/2 - 833*w - 686 = 0. Calculate w.
-14, -1
What is j in 3*j**5/2 - 18*j**4 + 84*j**3 - 192*j**2 + 216*j - 96 = 0?
2, 4
Factor -f**2/4 - 5*f/4 - 1.
-(f + 1)*(f + 4)/4
Find w, given that 5*w**4 - 15*w**3 - 15*w**2 + 35*w + 30 = 0.
-1, 2, 3
Let 4*q**2 + 100*q + 96 = 0. What is q?
-24, -1
Factor -7803*u**4/8 + 39321*u**3/4 - 201207*u**2/8 + 3855*u/2 - 75/2.
-3*(u - 5)**2*(51*u - 2)**2/8
Factor -4*z**2 - 92*z + 432.
-4*(z - 4)*(z + 27)
Let -45*y**5 - 370*y**4 - 1160*y**3 - 1680*y**2 - 1040*y - 160 = 0. Calculate y.
-2, -2/9
Find y, given that 3*y**4 - 27*y**3 - 108*y**2 = 0.
-3, 0, 12
Factor 4*m**4 + 1456*m**3 + 131032*m**2 - 266448*m + 133956.
4*(m - 1)**2*(m + 183)**2
Factor -2*t**2/9 + 326*t/9 - 644/9.
-2*(t - 161)*(t - 2)/9
Determine a so that -a**2 - 46*a - 529 = 0.
-23
Factor 48668*i**5 - 35972*i**4 - 11592*i**3 - 1072*i**2 - 32*i.
4*i*(i - 1)*(23*i + 2)**3
Suppose 5*d**5 + 30*d**4 + 20*d**3 - 90*d**2 - 25*d + 60 = 0. Calculate d.
-4, -3, -1, 1
Factor -3*k**2/7 + 1968*k/7 - 1965/7.
-3*(k - 655)*(k - 1)/7
Find c such that -1225*c**5 - 52640*c**4 - 590585*c**3 - 540790*c**2 - 169260*c - 17640 = 0.
-21, -2/5, -2/7
Find y, given that 3*y**3/4 + 33*y**2/4 + 93*y/4 + 63/4 = 0.
-7, -3, -1
Factor -4*v**4/5 - 8*v**3/5 + 44*v**2/5 + 48*v/5.
-4*v*(v - 3)*(v + 1)*(v + 4)/5
Find a, given that a**3/8 - a**2/4 - 13*a/8 - 5/4 = 0.
-2, -1, 5
What is c in 24*c**5/5 + 54*c**4 + 519*c**3/5 + 297*c**2/5 - 3*c/5 - 27/5 = 0?
-9, -1, -1/2, 1/4
Determine l, given that -l**5 - 38*l**4 - 381*l**3 - 72*l**2 + 6156*l + 11664 = 0.
-18, -3, 4
Suppose -4*u**2 - 21*u/5 - 1/5 = 0. Calculate u.
-1, -1/20
Solve -c**4/4 + 11*c**3/4 + 39*c**2/4 - 459*c/4 - 243/2 = 0.
-6, -1, 9
Factor -2*u**3 + 24*u** | {
"pile_set_name": "DM Mathematics"
} |
28 and 6?
6
What is the highest common factor of 92 and 5152?
92
Calculate the highest common divisor of 135 and 5.
5
What is the greatest common divisor of 2355 and 15?
15
Calculate the highest common divisor of 52 and 20.
4
What is the highest common divisor of 126 and 2682?
18
What is the highest common factor of 2 and 62?
2
Calculate the greatest common factor of 710 and 30.
10
Calculate the highest common divisor of 455 and 11765.
65
Calculate the highest common factor of 1771 and 483.
161
What is the greatest common divisor of 104 and 26?
26
Calculate the highest common divisor of 464 and 1616.
16
Calculate the greatest common divisor of 24 and 120.
24
What is the greatest common factor of 26 and 650?
26
What is the greatest common divisor of 1495 and 25?
5
What is the greatest common divisor of 6 and 4617?
3
What is the greatest common divisor of 650 and 16?
2
Calculate the highest common divisor of 790 and 10.
10
Calculate the greatest common divisor of 637 and 91.
91
What is the highest common divisor of 2592 and 64?
32
Calculate the highest common divisor of 384 and 6.
6
Calculate the greatest common divisor of 50 and 3025.
25
What is the greatest common factor of 7942 and 76?
38
Calculate the greatest common factor of 47 and 1222.
47
Calculate the greatest common divisor of 345 and 207.
69
What is the highest common divisor of 574 and 13120?
82
What is the highest common factor of 66 and 2508?
66
Calculate the greatest common divisor of 1358 and 14.
14
Calculate the greatest common factor of 2072 and 14.
14
What is the highest common divisor of 322 and 14?
14
Calculate the highest common divisor of 432 and 324.
108
Calculate the highest common factor of 8 and 584.
8
Calculate the greatest common divisor of 753 and 9.
3
Calculate the greatest common divisor of 481 and 555.
37
Calculate the highest common divisor of 2499 and 35.
7
Calculate the highest common divisor of 3245 and 220.
55
What is the greatest common factor of 90 and 36?
18
What is the greatest common divisor of 100 and 260?
20
What is the greatest common divisor of 310 and 1984?
62
Calculate the highest common divisor of 711 and 18.
9
What is the greatest common factor of 80 and 180?
20
Calculate the highest common divisor of 5 and 355.
5
Calculate the greatest common factor of 48 and 528.
48
What is the highest common divisor of 3115 and 14?
7
Calculate the highest common divisor of 637 and 196.
49
Calculate the greatest common divisor of 928 and 2552.
232
What is the highest common divisor of 393 and 1441?
131
What is the greatest common factor of 108 and 567?
27
What is the greatest common factor of 78 and 2340?
78
Calculate the highest common divisor of 69 and 1127.
23
What is the highest common factor of 845 and 5?
5
What is the greatest common divisor of 15 and 10325?
5
Calculate the greatest common divisor of 26 and 2275.
13
Calculate the greatest common factor of 12 and 894.
6
What is the highest common divisor of 144 and 504?
72
Calculate the highest common divisor of 32 and 232.
8
Calculate the highest common factor of 130 and 338.
26
What is the highest common factor of 108 and 24?
12
What is the highest common divisor of 23252 and 4?
4
What is the greatest common factor of 14885 and 65?
65
Calculate the highest common factor of 25 and 9025.
25
Calculate the greatest common factor of 424 and 53.
53
Calculate the highest common divisor of 18 and 1278.
18
What is the highest common factor of 10187 and 835?
167
Calculate the greatest common factor of 1183 and 91.
91
Calculate the highest common divisor of 940 and 80.
20
Calculate the greatest common factor of 116 and 1044.
116
Calculate the greatest common factor of 10 and 3935.
5
Calculate the greatest common factor of 70 and 210.
70
Calculate the greatest common divisor of 518 and 308.
14
What is the greatest common divisor of 48 and 1956?
12
What is the highest common divisor of 147 and 105?
21
What is the highest common divisor of 168 and 196?
28
What is the highest common divisor of 1980 and 108?
36
Calculate the highest common factor of 19660 and 20.
20
What is the greatest common divisor of 72 and 11808?
72
What is the highest common divisor of 1050 and 126?
42
What is the highest common divisor of 560 and 9688?
56
Calculate the highest common factor of 69 and 6693.
69
What is the highest common divisor of 145 and 15?
5
What is the highest common factor of 10637 and 88?
11
What is the highest common divisor of 8092 and 56?
28
Calculate the greatest common factor of 273 and 29211.
273
Calculate the greatest common divisor of 1305 and 145.
145
Calculate the highest common factor of 3276 and 78.
78
What is the highest common divisor of 88 and 8?
8
What is the greatest common divisor of 21570 and 15?
15
What is the greatest common factor of 1207 and 568?
71
What is the greatest common factor of 180 and 72?
36
Calculate the highest common divisor of 1364 and 248.
124
What is the highest common factor of 4693 and 13?
13
What is the greatest common factor of 16 and 8?
8
What is the highest common factor of 18 and 6867?
9
Calculate the greatest common divisor of 32 and 3856.
16
Calculate the greatest common factor of 1770 and 60.
30
Calculate the highest common factor of 98 and 245.
49
What is the greatest common factor of 748 and 1980?
44
Calculate the greatest common divisor of 16 and 80.
16
Calculate the greatest common divisor of 12 and 852.
12
What is the greatest common divisor of 990 and 10800?
90
Calculate the greatest common divisor of 10 and 70.
10
What is the highest common divisor of 3 and 25?
1
Calculate the highest common factor of 143 and 39.
13
What is the highest common divisor of 22412 and 26?
26
What is the highest common factor of 399 and 42?
21
What is the greatest common factor of 164 and 123?
41
Calculate the highest common divisor of 1677 and 26.
13
Calculate the greatest common factor of 40 and 180.
20
Calculate the highest common divisor of 2734 and 2.
2
Calculate the greatest common factor of 280 and 160.
40
Calculate the greatest common divisor of 20 and 84.
4
Calculate the greatest common factor of 4207 and 7.
7
What is the highest common divisor of 30 and 190?
10
What is the highest common divisor of 124 and 12?
4
What is the highest common divisor of 102 and 170?
34
Calculate the highest common divisor of 42 and 11886.
42
Calculate the greatest common divisor of 1479 and 255.
51
Calculate the greatest common divisor of 66 and 13882.
22
What is the highest common divisor of 28 and 2324?
28
What is the highest common divisor of 7300 and 40?
20
Calculate the highest common divisor of 16 and 48.
16
Calculate the highest common divisor of 23 and 4071.
23
What is the greatest common factor of 234 and 2?
2
Calculate the highest common factor of 18 and 4098.
6
What is the greatest common factor of 45 and 54?
9
What is the greatest common factor of 124 and 682?
62
Calculate the highest common divisor of 150 and 6.
6
What is the highest common factor of 45 and 1629?
9
Calculate the greatest common factor of 455 and 11.
1
What is the greatest common divisor of 3 and 63?
3
What is the greatest common divisor of 714 and 6222?
102
Calculate the highest common factor of 1590 and 120.
30
What is the highest common factor of 6751 and 471?
157
Calculate the highest common factor of 26 and 14.
2
Calculate the greatest common divisor of 93 and 3.
3
What is the greatest common factor of 2413 and 95?
19
Calculate the greatest common divisor of 54 and 18.
18
What is the greatest common divisor of 1334 and 138?
46
What is the highest common divisor of 40 and 104?
8
What is the greatest common divisor of 3 and 21?
3
What is the highest common factor of 26 and 845?
13
What is the greatest common factor of 228 and 24?
12
What is the greatest common factor of 171 and 3021?
57
What is the highest common divisor of 92 and 13846?
46
What is the greatest common factor of 36 and 276?
12
What is the highest common factor of 704 and 616?
88
What is the highest common factor of 8 and 16?
8
Calculate the highest common factor of 33 and 22.
11
Calculate the greatest common factor of 43 and 1.
1
Calculate the highest common divisor of 153 and 816.
51
What is the greatest common divisor of 14530 and 10?
10
Calculate | {
"pile_set_name": "DM Mathematics"
} |
= -22*h. Is h a prime number?
False
Let w be 1 + (-7651 - 1)/2. Let l = -2688 - w. Suppose -v + l = 2*v. Is v a prime number?
True
Suppose 0 = -4*y - 3*x + 52, -7*y - 4*x - 96 = -12*y. Suppose 0 = y*k - 10*k - 4038. Is k composite?
False
Let r(j) = 63*j**2 - 3*j - 7. Suppose 4*s = 5*i - 45, 3*s - 5*s = -5*i + 35. Is r(i) a prime number?
True
Let l be (212/1 - 2)*(-36)/(-8). Let d = l - 566. Is d composite?
False
Let m = 1193 - -2535. Let n = m - 2167. Is n a composite number?
True
Let n = 12905 - 6268. Is n composite?
False
Let z(o) = -13*o + 1. Let g(s) = s**3 - 2*s**2 - 4. Let q be g(3). Let b be z(q). Let u = b + 323. Is u a composite number?
True
Let m = 3044 - 411. Is m composite?
False
Suppose 2*z + 5*m = 4312, -m - 4 = m. Is z prime?
True
Suppose -o + 4*o + 72 = -3*x, 4*o = -x - 81. Let h = 26 + o. Suppose -h*q + 170 + 369 = 0. Is q a composite number?
True
Let t(o) = -12*o**2 - 6*o - 15. Let y(n) = n**3 - 47*n**2 - 24*n - 61. Let a(r) = 9*t(r) - 2*y(r). Is a(-12) composite?
False
Let w(t) = -22 + 6*t**2 + 40 - t**3 - 14. Is w(3) a prime number?
True
Suppose 3*s - 13 = 2*x, s + 2*x = -x - 3. Suppose 4*w + s*t = 1799, 2*w - 900 = -4*t + 2*t. Is w a prime number?
True
Let a(m) be the first derivative of -m**2/2 + 20*m + 1. Let v be ((-4)/5)/(2/(-15)). Is a(v) composite?
True
Is -1*((-181430)/30 + 4/6) a composite number?
False
Let r(x) = x**3 - 23*x + 6103. Is r(0) a composite number?
True
Let t be 6776/(-21)*3*-1. Let j = t - 497. Is j a composite number?
True
Suppose 5*q - 4060 = -3*m, -5*q - 4*m + 2197 = -1868. Is q prime?
True
Let t be (-6)/(-9) - (-6320)/15. Let h = 369 + t. Is h a prime number?
False
Is (0 - (-15)/(-5)) + 1544 a composite number?
True
Suppose -r + 13772 = -8967. Is r prime?
True
Let x = 16370 - 4299. Is x composite?
False
Let u be 25*(16/(-20))/1. Let j = -26 + 61. Let q = j + u. Is q a composite number?
True
Let u(f) = -f + 12. Let m be u(11). Is ((2056/4)/m)/2 prime?
True
Let a = 124 + -50. Let f be ((-472)/4)/((-4)/a). Suppose -f = -4*z + 45. Is z a prime number?
True
Suppose -5*h + 0*h = 25. Let n = h - -19. Suppose 13*b = n*b - 309. Is b composite?
True
Let t be (-2 + -1)/((-21)/1393). Let r be (-3 - (-1)/1) + -138. Let v = t + r. Is v a composite number?
False
Let v(u) = 14*u + 1 + 4*u**2 - 2*u + 12. Suppose -4*h = 2*y + 3*y - 33, 2*y - 27 = 3*h. Is v(y) prime?
False
Let a(w) = 302*w**2 + 1. Let s be a(-2). Let z be s/(-4) + 2/8. Let h = 653 - z. Is h a composite number?
True
Suppose 5*x = -2*v - 3, -4*v - 20 = -3*x - x. Let f = 4 - x. Suppose 28 = -f*w + 289. Is w prime?
False
Suppose 4*z + 402 = 3*j, 3*j = -z + 3*z + 402. Is -2*j/4*-1 composite?
False
Let m(t) = 5*t - 2. Let l be m(2). Let q = l + -11. Is (q/(-5))/((-1)/(-185)) a composite number?
True
Let a(g) = 2*g**2 - 11*g - 14. Let w(l) = 6*l**2 - 33*l - 41. Let z(j) = -j**3 + 8*j**2 - 5*j - 8. Let b be z(7). Let x(n) = b*w(n) - 17*a(n). Is x(11) prime?
True
Is (4 - (7 + 0)) + 520 prime?
False
Let g(b) = -13*b**3 - 10*b**2 - 85*b + 14. Is g(-17) composite?
True
Suppose -5*p - 3*x - 689 = -4*x, 2*p + 4*x = -258. Let u = 650 - p. Is u a composite number?
False
Let s(d) = 6482*d + 37. Is s(2) prime?
True
Let a(c) = 1665*c**2 + c + 1. Let k = 11 + -12. Let h be a(k). Suppose -4*g = j - 317, g = -5*j - 3*g + h. Is j a prime number?
True
Let y(b) = 1408*b**3 + b. Let h(r) = 2*r**3 + 4*r**2 - 2*r - 3. Let l be h(-2). Is y(l) a composite number?
False
Let j(k) = -4 - 2 + 1 + 8*k. Let u(p) = p**2 - 4*p + 5. Let h be u(4). Is j(h) a prime number?
False
Suppose -60748 = -13*c + 184419. Is c prime?
True
Is (-62215)/(-40) - 6/16 a composite number?
True
Suppose 16*i + 12666 = 13*i. Let c = -1391 - i. Is c prime?
False
Let i(s) = -s**2 + 10*s. Let b be i(10). Let x = 202 - -15. Suppose 4*r - u = -x + 673, -2*r - 4*u + 246 = b. Is r composite?
True
Suppose 10609 + 996 = 5*u - 4*n, -4*n = 2*u - 4642. Is u a prime number?
False
Let o(u) = 67*u**3 - 5*u**2 + 4*u - 2. Let p be o(2). Let k = 175 + p. Is k composite?
True
Let z = -1462 - -2188. Let y be -10*(z/(-4) - -3). Let n = -532 + y. Is n a composite number?
True
Let f = 49790 + -28229. Let p be (-4)/(-14) - f/(-21). Let y = p - 722. Is y composite?
True
Suppose -26 = -5*v + 4*w, -6*w - 14 = 3*v - w. Is v/(-4) + (-2646)/(-28) composite?
True
Let k(y) = 2*y**2 + 9*y + 14. Suppose -3*s + 2*s - 5*b + 6 = 0, -4*s + 3*b = 45. Is k(s) a composite number?
True
Suppose y = 3*w, 3*w - y - y + 3 = 0. Is w*337 + 0/(4 - 6) a prime number?
True
Suppose b = 8*b + 679. Let t = -3 + 6. Is t/(-1) - (3 + b) a composite number?
True
Let f(q) = -12 - 21 - 6 + 9 - 5*q. Is f(-19) a composite number?
True
Suppose -7*t + 15 = 5*f - 2*t, t + 1 = f. Is f/(-14) - (-6480)/35 a prime number?
False
Let i be 4 - 1/((-2)/12). Suppose 0 = -5*y + i + 10. Is y composite?
True
Let h = 2299 + -1427. Let d = h - 613. Is d prime?
False
Let z be (0 + 27/(-6))*20/15. Is z/4 - 20172/(-24) a prime number?
True
Let a be (-27)/(-6) + (-1)/2. Is ((-2)/a)/(2/(-236)) a prime number?
True
Let h(b) = 2*b**2 + 3*b + 2. Let f be h(-2). Suppose v = m, -2*v = -6*v - f*m. Suppose 3*t = 0, -n + v*t + 211 = -3*t. Is n a composite number?
False
Let v = 33 - 51. Let j(u) = u**3 - 5*u**2 - 7*u + 1. Let g be j(6). Let k = g - v. Is k prime?
True
Let v = 90792 - 55109. Is v a composite number?
True
Suppose 0 = 20*h - 18*h + 2*k - 17554, -3*h = -5*k - 26347. Is h a prime number?
True
Let d = -1 + 4. Suppose d*w - 5*w - 4 = 0. Is (-415 + -4)*2/w composite?
False
Let x = -14 + 25. Suppose -4*y + x = 3. Suppose n - 4*n - 2*f = -155, 103 = y*n + f. Is n a composite number?
True
Is (-58)/3*1*(-9210)/20 a composite number?
True
Suppose -28*q = -32*q + 520. Suppose 0 = 5*j + 5*b - 4510, 4*j = -5*b + q + 3473. Is j composite?
False
Suppose 10*y + 4*c = 9*y + 20705, y + 5*c - 20702 = 0. Is y composite?
False
Suppose 26 = -2*u + 18. Let d be 4*(1 + (-1)/2). Is 3 - (u + -400 - d) a prime number?
True
Suppose 3*t - j = -1751, j = t - 2*j + 597. Is (t/(-4))/(9/12) composite?
True
Let b(u) = -u**2 - 2*u + 1. Let d be b(2). Let n(t) be the first derivative of 2*t**3/3 - 7*t**2/2 + 2*t - 101. Is n(d) a prime number?
True
Let c(t) be the third derivative of 17*t**4/24 - 2*t**3 + 6*t**2. Let n be c(3). Let m = 97 - n. Is m composite?
True
Let l(n) be the second derivative of -79*n**5/5 - n**3/6 + 15*n. Is l(-1) composite?
False
Let o(k) = -39*k - 4. Suppose 0*b + 5*b = 5*m + 10, 0 = 4*m - 5*b + 12. Let x(s) = -38*s - 3. Let h(w) = m*o(w) - 3*x(w). Is h(3) composite?
False
Let o(s) = -2*s - 5*s - 130*s**3 + 8*s + 2*s**2. Suppose -k - 3*g - 13 = 0, 2*k + 10 = -2*g - 0*g. Is o(k) prime?
True
Suppose 0 = 2*s + 15 - 123. Suppose -s = -4*d + 542. Is d composite?
False
Suppose 94*p + 4747510 = 19264964. Is p a composite number?
True
Is 3 + 2 + 3 + -5 - -244 prime?
False
Suppose -2*b = -0*b. Suppose -o + 2 = 1. Is (-5 + -86)*(b - o) a prime number?
False
Let k(n) = 3*n + 90 + 72 - 20 + 24. Is k(0) prime?
False
Suppose -2*z - m + 7283 = 0, 6*z + 3*m = z + 18208. Is z prime?
False
Let b(s) be the third derivative of -249*s**4/8 + s**3/2 - 7*s**2. Let o be b(-1). Suppose 0 = 5*m + 2*a - 1649 - o, 0 = 2*a - 4. Is m composite?
False
Suppose 5*s + 114 = -3*n, -s = -4*s - 5*n - 62. Let m be (-76)/s - 4/24. Suppose -m*l + 253 = w, 5*l - 71 - 352 = -w. Is l a composite number?
True
Suppose -7*b - 884 = -8*b. Suppose 269 = -3*a + b. Is a prime?
False
Let m(b) = 25*b**2 + 6*b - 20. Let r be m(7). Suppose 2*c = r + 1127. Is c composite?
False
Let y(q) = -q + 10. Let u be y(4). Suppose 0 = -3*x + 16836 - 3711. Suppose u*i - x = -1249. Is i a prime number?
True
Let r = 873 + -286. Is r a composite number?
False
Suppose -6*a = -7*a + 2*l, 0 = 4*a - 5*l. Let h(n) = -369*n + 3. Let z be h(-4). Suppose -8*p + 11*p - z = a. Is p prime?
False
Let h(n) be the third derivative of -83*n**4/8 - n**2. Let l be h(-5). Suppose 3*r = -2*r + l. Is r a composite number?
True
Suppose 54*n - 52*n - z - 44937 = 0, 3*n - 5*z - 67388 = 0. Is n a composite number?
True
Let m be (-1)/(-1)*(707 - 4). Suppose -3362 = -2*h + 4*j, -j - m - 981 = -h. Is h prime?
False
Let j(t) = 4*t**2 + 20*t - 29. Let z be j(-15). Let v = 3820 + z. Is v prime?
True
Let j = 5937 - -3476. Is j a prime number?
True
Let d(t) = -68*t**3 + 10*t**3 + 56 - 57 - 2*t | {
"pile_set_name": "DM Mathematics"
} |
124. Suppose -2 = 2*c - k. What is the tens digit of c?
6
Suppose -h + 2*h - 998 = -5*l, 0 = 4*l + 2*h - 802. What is the units digit of l?
9
Let m = -27 - -29. What is the tens digit of (3 - m) + 10 + 3?
1
Let t(f) = 10*f + 1181. What is the units digit of t(0)?
1
Let c(y) = -y**3 - 16*y**2 - 1. Let f = 1 - 17. Let t be c(f). What is the tens digit of t/(-2) - (-93)/2?
4
Let q(u) = 7*u + 13. What is the tens digit of q(6)?
5
Let o(w) = -2*w - 12. Let b be o(-6). Suppose b = x - 1 - 2. What is the units digit of (-15)/((-4)/(16/x))?
0
Let z be 1/(((-22)/12)/11). Let p = z + 10. Suppose -5*w = k - 34, 0 = -p*k + 4*w - 21 + 133. What is the units digit of k?
9
Let q(s) = -s**3 + 4*s**2 - 4. Let g = 15 - 12. Let b be q(g). Suppose b*l - 50 = 3*l. What is the tens digit of l?
2
Let b = 32 + -95. Let g = b - -44. What is the units digit of -2 - (-2 - (-3 - g))?
6
Suppose -4 = o - 8. Let t be (-2)/o - (-93)/6. Let b = t - 8. What is the units digit of b?
7
Let r = 3 - 2. Let f be 46/6 + -2 + (-8)/(-6). Suppose f*z + r = 8*z. What is the units digit of z?
1
Let b(h) = -2*h**3 - 15*h**2 + 23*h + 10. What is the tens digit of b(-11)?
0
Let v = -5 + -28. Let g = -371 + 359. Let f = g - v. What is the units digit of f?
1
Let t be (0 + 2)*(2 + 1). Let d = 22 - t. What is the units digit of d?
6
Suppose 130*v - 18 = 133*v. Let j be 0 - -1 - (-18)/(-2). Let u = v - j. What is the units digit of u?
2
Let r be 2 + (1 - (3 - 3)). Let y(u) = 2*u**2 - 3*u - 1. Let s be y(r). What is the units digit of (4/6)/(s/12)?
1
Let q be (-2)/12 + (-13)/(624/280). What is the tens digit of q/((-18)/255) + 0?
8
Let w be (3 - 1)*15/6. Let d be -2 + 0 + 3 - 1. Suppose d*l + l + w*q = 7, -q + 35 = 5*l. What is the units digit of l?
7
Suppose 0 = -v - 2*v + 15. Suppose -2*g = -6, -v*q - 3*g = -4*q - 51. What is the units digit of q?
2
Let l = 43 - -167. What is the hundreds digit of l?
2
Let j(n) = 2*n + 2. Let z be j(0). Suppose 0 = z*x - 4 - 2. Suppose -7*a + 96 = -x*a - 2*b, -64 = -2*a + 5*b. What is the units digit of a?
2
Suppose -3*j + 805 = -5*a, -4*j + 6*a - 2*a + 1084 = 0. What is the tens digit of (-3)/(-3)*j/5?
5
Suppose 2*b - 2*c = -b + 191, -4*b - 4*c = -248. Let z = -31 + 14. Let f = z + b. What is the units digit of f?
6
What is the units digit of 1/(-3) - (-4)/(-18)*-15?
3
Let u(t) = t + 11. Let d(i) = 2. Let g(v) = -11*d(v) + 2*u(v). Let m be g(-8). Let x = m - -20. What is the units digit of x?
4
Suppose 19 = 3*r - 23. Suppose -r*d - 1708 = -4872. What is the hundreds digit of d?
2
Let i(k) be the first derivative of 2*k + 2 + 1/2*k**2. What is the units digit of i(2)?
4
Suppose -d = -0*d - 384. Suppose -18*y = -20*y + d. What is the tens digit of y?
9
Suppose 3*b = -2*b + 280. Let w = -48 + b. What is the units digit of w?
8
Let x(t) = t**3 - 4*t**2 + 5*t - 2. Let w be x(3). Suppose -w + 0 = -s. Let q(a) = -a + 6. What is the units digit of q(s)?
2
Let m(y) = y**2 - 17*y - 9. Let p be m(-13). Suppose -4*v = -p + 5. What is the tens digit of v?
9
Suppose 0 = 28*i - i - 14580. What is the units digit of i?
0
Suppose -1219 = -8*u + 8605. What is the thousands digit of u?
1
Let q(p) = -p**3 - 19*p**2 + 24*p - 45. Let y be q(-21). Suppose -5*m + y = -2*m. What is the units digit of m?
1
Suppose 0 = 10*l - 6*l. Suppose 2*p + 20 + 48 = l. What is the tens digit of 3/((-12)/2)*p?
1
Suppose 3*u - 1894 = 5*l - l, 4*u + 4*l - 2516 = 0. What is the units digit of u?
0
Let y = 63 + -48. Suppose y = -5*j + 5, 0 = -b - 3*j + 90. What is the units digit of b?
6
Suppose -5*x + 2176 = 3*k - 149, 5*x + k = 2315. What is the tens digit of x?
6
Let k(v) = -v**3 - 24*v**2 - 48*v + 12. Let s = 128 - 150. What is the units digit of k(s)?
0
Suppose 838 + 2978 = 72*w. Let r(p) = 5*p. Let k be r(1). Suppose -v = -3*v + o + w, -v + 21 = k*o. What is the tens digit of v?
2
Let y(n) = n**3 + 45*n**2 - 20*n - 484. What is the tens digit of y(-44)?
3
Let b(j) be the third derivative of -j**6/120 - j**5/30 + j**4/8 - 2*j**3/3 - 4*j**2. Let x be b(-4). Suppose 0 = u - 6 - x. What is the units digit of u?
2
Suppose -5*w + 455 = -725. Suppose 47*c = 48*c - w. What is the units digit of c?
6
Let g(u) = 11 - 7 + 21 - 3 + 2*u. What is the units digit of g(-7)?
8
Let a(d) = -14 - 16*d + 28*d - 16*d. What is the units digit of a(-8)?
8
Suppose -8*q + 1760 = -3*q. What is the tens digit of q?
5
Suppose -5*w + 3*s + 3240 = 0, -w + 3*s + 645 + 15 = 0. What is the tens digit of w?
4
Let z be (-2)/16*991 + (-6)/48. Let q = 6 - z. What is the units digit of q?
0
Let g(t) = -t - 2. Let i be g(-8). Suppose -24 = k + i. Let d = 72 + k. What is the units digit of d?
2
Suppose -3*p + 1200 + 9431 = 8*y, 8 = 2*y. What is the hundreds digit of p?
5
Let p = -32 - -51. Let t = p - 21. What is the tens digit of (-20)/(-6)*(t + 8)?
2
Let y be 1/3 - 56/6. Let z(p) = -2*p**3 - 16*p**2 + 10*p + 8. What is the units digit of z(y)?
0
Let n = 505 + -499. Let a(x) be the third derivative of 5*x**4/12 - 2*x**3/3 - x**2. What is the units digit of a(n)?
6
Suppose -53*b + 584 = -52*b. What is the units digit of b?
4
Suppose -26 - 16 = -5*t + 4*x, -15 = -3*t - x. What is the hundreds digit of t/((-24)/(-306)*18/32)?
1
What is the tens digit of (-2371)/(-8) - (-195)/(-520)?
9
Suppose 4*f + 16 = -x, -4*x + 4*f + 40 = x. Let u = -136 - -141. Suppose -j + 21 = u*s, -6*j + j - x*s + 63 = 0. What is the tens digit of j?
1
Let t(n) = -n**2 + 8*n + 2. Let z be t(9). What is the tens digit of -6 - z - 60/(-2)?
3
Suppose -4*y + 16 = -2*h, 4*y + 11 = -5*h + 41. Suppose y*p - 31 = 34. What is the tens digit of p?
1
Let q be ((-6)/(-18))/(1/12). Suppose 0 = 4*d - 2*o - 20, -q*d - o - 4*o + 34 = 0. Suppose d*n - 10 = n. What is the units digit of n?
2
Let o be 2 - (1 - (1 - 1)). Let h = -5 - o. What is the units digit of -12*(22/h + 3)?
8
Let r = -21 + 26. Suppose s + g = -2*g - r, -3*g - 35 = -2*s. What is the tens digit of s?
1
What is the hundreds digit of (-15)/18 + (-8511)/(-18)?
4
Suppose 0 = 5*f + r - 24376, -7*r = -f - r + 4900. What is the thousands digit of f?
4
What is the thousands digit of ((-1970)/6)/((-30)/(-36) - 1)?
1
Suppose -22*g = -27*g - 4*u + 3459, -689 = -g + 2*u. What is the tens digit of g?
9
Let l be (-34)/(-153) + 5/((-90)/(-68)). What is the tens digit of 149 - (-2 - l - -3)?
5
Suppose 5*g + 218 = 2*b, -146 - 318 = -4*b - 4*g. Suppose -4*o + 5*n + 399 = 0, -2*o + 4*n + b = -84. What is the hundreds digit of o?
1
Let m = -2795 + 4159. What is the units digit of m?
4
Let f(l) = -2*l**2 + 5*l - 5. Let v be f(7). What is the units digit of (-2)/(-8) + (-1479)/v?
2
Let p be -7 + (-3)/(-1) + -315. What is the tens digit of (p/5 - -1)/((-6)/15)?
5
Suppose 3*l - v + 5 = l, 3*v = -l + 15. Suppose -5*p + 29 + 6 = l. What is the units digit of p?
7
Suppose -2*r + 5*i - 186 = r, 5*r + 320 = 5*i. Let t = 108 + r. What is the tens digit of t?
4
Let q be 4/(-10) - (-22)/5. Let k = 294 - 263. Suppose -k = -5*h + q. What is the units digit of h?
7
Suppose 3*r + 0*r - 47 = 4*f, -2 = -3*r - 5*f. Suppose r*j - 8 = 1. What is the units digit of j?
1
Suppose 5*u = -2*u - 392. Let v = 113 + u. What is the units digit of v?
7
Suppose -r + 4*m = -2*r + 18, 0 = 3*r - 5*m - 139. What is the units digit of r?
8
Suppose -j + 4*h + 64 - 7 = 0, h - 390 = -5*j. What is the units digit of j?
7
Let u(s) = 10*s + 30. Let k(a) = 22*a + 59. Let z(m) = 3*k(m) - 7*u(m). What is the tens digit of z(-15)?
2
Let v = 22 - 19. Let c(j) = -5*j**2 + 5*j - 7. Let p be c(v). Let g = 50 + p. What is the units digit of g?
3
Let p = 82 - -88. What is the hundreds digit of p?
1
Suppose -2*f = -0*f - 4. Suppose -3*x - 28 = 2. What is the units digit of f/(x/(-295))*1?
9
Let u(o) = 49*o**2 - 6*o - 63. What is the hundreds digit of u(-8)?
1
Suppose y + 4243 = 3*f - 1355, 2*f - 3*y - 3739 = 0. What is the hundreds digit of f?
8
Let m be 6/5*(-3105)/(-18). Let f = m + -125. What is the units digit of f?
2
Let t(n) = -3*n**2 + n - 2. Let x be t(4). Let a = x + 48. What is the units digit of a?
2
Let i(y) = -69*y**3 + 3*y**2 + 7*y + 2. What is the thousands digit of i(-4)?
4
Let k = 106 - 2. Let m(a) = a**3 - 2*a**2 + 2*a + 1. Let l be m(2). Suppose -1 = -l*b + k. What is the tens digit of b?
2
Let n be 18 - 19 - (-1 + 9). Let p = n - -12. Suppose p*k = 221 - 83. What | {
"pile_set_name": "DM Mathematics"
} |
q**3 - h*q**3 = 0. What is q?
-2, 0
Let x(q) be the third derivative of q**6/240 - 32*q**5/3 + 25600*q**4/3 + q**2 + 16*q - 2. Suppose x(t) = 0. Calculate t.
0, 640
Factor -67*q - 2*q**5 + 1427*q**3 + 67*q - 1419*q**3.
-2*q**3*(q - 2)*(q + 2)
Let d(p) be the first derivative of 0*p**4 - 10 - 1/180*p**6 + 0*p**3 - 27*p + 0*p**2 - 1/60*p**5. Let r(q) be the first derivative of d(q). Factor r(v).
-v**3*(v + 2)/6
Let j(n) be the second derivative of -n**7/630 + 67*n**6/810 - 11*n**5/135 + 8*n**3/3 - 7*n**2/2 - 98*n. Let s(h) be the second derivative of j(h). Factor s(y).
-4*y*(y - 22)*(3*y - 1)/9
Let w(l) be the first derivative of -5/2*l**4 - 8*l**2 + 16 + 44/3*l**3 + 0*l. Suppose w(n) = 0. What is n?
0, 2/5, 4
Suppose 5*n = -2*v - 3 - 6, v + 4*n = -9. Suppose 4*o + 4*h = v*o + 12, -3*o + 21 = -3*h. Factor 6*t**3 + 1505*t**2 - 2*t**4 - o*t - 1505*t**2.
-2*t*(t - 2)**2*(t + 1)
Let u be 2349/(-116)*8/(-6). Suppose 267*c - u = 258*c. Factor 9/2*b - 5/2 - 3/2*b**2 - 1/2*b**c.
-(b - 1)**2*(b + 5)/2
Let -1/6*l**4 + 3698/3 + 86/3*l**3 - 2465/2*l**2 - 86/3*l = 0. Calculate l.
-1, 1, 86
Let r(l) be the second derivative of -l**7/630 + l**6/30 - 4*l**5/45 - 23*l**3/6 - l**2 + 9*l - 5. Let n(b) be the second derivative of r(b). Factor n(y).
-4*y*(y - 8)*(y - 1)/3
Let a(b) = 4*b**4 + b + 3 - 2*b**4 - 6*b**2 - 2*b**3 + 1. Let v(f) = f. Let s be (12/(-24))/((-4)/16). Let u(c) = s*a(c) + 2*v(c). Factor u(o).
4*(o - 2)*(o - 1)*(o + 1)**2
Let d be (-55)/132*(14/(-10) - -1). Let x(t) be the first derivative of -14 + d*t**3 + 0*t + 0*t**2 - 5/16*t**4. Find n such that x(n) = 0.
0, 2/5
Let l be (-22)/(-99) - (4746/216 - 23). Factor 5*v**3 - 5*v + l*v**4 - 5 + 15/4*v**2.
5*(v - 1)*(v + 1)*(v + 2)**2/4
Let t = 219204 + -219199. Suppose 3/5*l**t - 216/5 + 36*l + 6*l**2 - 9*l**3 + 0*l**4 = 0. What is l?
-3, 2
Let l(h) = h**2 - 6*h + 5. Let q be l(11). Let p = q - 58. Factor 4/7*i - 2/7*i**p + 0 - 2/7*i**3.
-2*i*(i - 1)*(i + 2)/7
Let p(f) = -17*f**2 + 6*f + 89. Let t(j) be the second derivative of -j**4/3 + j**3/3 + 11*j**2 + 136*j. Let c(v) = 2*p(v) - 9*t(v). Factor c(n).
2*(n - 5)*(n + 2)
Factor 134/5*k + 2/5*k**2 + 132/5.
2*(k + 1)*(k + 66)/5
Suppose -7*y + 7 = -14*y. Let g be 5/y - (0 + (-497)/91). Determine t so that 8/13*t + 2/13*t**2 + g = 0.
-3, -1
Let b = -419 + 421. Find c, given that 40*c - 77*c + b*c**2 + 69*c = 0.
-16, 0
Let i = 5267 + -3640. Let o = -27639/17 + i. Factor -2/17*q**2 - o*q - 50/17.
-2*(q + 5)**2/17
Let v(q) be the third derivative of -q**6/72 + 13*q**5/36 + 65*q**4/9 - 70*q**3 + 3523*q**2. Determine b, given that v(b) = 0.
-7, 2, 18
Let x(y) be the third derivative of -y**5/330 - 27*y**4/11 - 321*y**3/11 - 2939*y**2 + y + 1. Factor x(j).
-2*(j + 3)*(j + 321)/11
Suppose -6 = -6*m + 3*m. Let -2*n**2 + 5*n**4 - n**3 - 5*n**4 + 0*n**m + 4*n**4 + 3*n**5 = 0. What is n?
-1, 0, 2/3
Suppose 12*m - 24 = 10*m. Suppose m = 3*h + h. Determine u so that -17*u**4 + 16*u**4 + u**2 - 5*u + u**h + 0*u**3 + 4*u = 0.
-1, 0, 1
Let q(f) be the first derivative of 21*f**5/5 - 657*f**4/4 + 55*f**3 + 657*f**2/2 - 186*f + 1263. Let q(o) = 0. What is o?
-1, 2/7, 1, 31
Let g(n) be the first derivative of n**6/15 - 3*n**5/10 + n**4/2 - n**3/3 - 24*n + 70. Let o(c) be the first derivative of g(c). Find s such that o(s) = 0.
0, 1
Let y(a) = -14*a**2 + 451*a - 34. Let l(j) = -5*j**2 + 151*j - 12. Let v(s) = -17*l(s) + 6*y(s). Factor v(b).
b*(b + 139)
Let v(b) be the second derivative of -15*b - 5/6*b**4 - 14*b**2 + 0*b**3 - 1/12*b**6 + 0 - 3/4*b**5. Let q(x) be the first derivative of v(x). Factor q(u).
-5*u*(u + 4)*(2*u + 1)
Let q be (74/10)/(-9 - 4568/(-508)). Let j = q + 940. Factor j*g**3 - 3/5*g + 2/5*g**2 + 0.
g*(g - 1)*(g + 3)/5
Let q(b) be the second derivative of -b**4/3 + 74*b**3/3 + 328*b**2 + 996*b. Factor q(i).
-4*(i - 41)*(i + 4)
Find m, given that -m**2 + 798*m + 5*m**2 - 8490 + 1778*m + 423226 = 0.
-322
Let b = 7 + -5. Suppose -106 - 276 = -b*q. What is r in -200 - r**2 - r**2 + 3*r**4 - 16*r**2 + 24*r + q = 0?
-3, 1
Let g(k) be the first derivative of -k**4/6 + 36*k**3 - 2075*k**2 - 55112*k/3 + 3796. Let g(a) = 0. What is a?
-4, 83
Let i be (1 + (-41)/35)/(60/(-200)). Let y(m) = -m**3 + 11*m**2 - 18*m. Let p be y(9). Factor 4/7*n**2 + 8/7*n - i*n**3 + p.
-4*n*(n - 2)*(n + 1)/7
Let x = -379 - -449. Let m be 26/4*(x/130)/7. Determine w, given that m*w**2 + 1/4 + 5/8*w + 1/8*w**3 = 0.
-2, -1
Let f(w) = -w**3 + 8*w**2 - 7*w + 14. Let p be f(7). Suppose -29*v**4 - 32 + 118*v - 21 - 120*v**2 + p + 28*v**4 + 42*v**3 = 0. What is v?
1, 39
Let r(h) be the first derivative of 3*h**5/5 + 24*h**4 + 199*h**3 + 252*h**2 - 2526. Factor r(j).
3*j*(j + 1)*(j + 7)*(j + 24)
Suppose -6828 = 3*f - 5*o, -21*f - 3*o + 9093 = -25*f. Let q = -2266 - f. Find c such that q*c**2 + 0*c + 2*c**3 + 0 + 1/5*c**4 = 0.
-5, 0
Let p = 3/5 + 1/5. Let t be (-4498)/(-3460) - 2/4. Solve -p*l - 12/5 + t*l**3 + 12/5*l**2 = 0.
-3, -1, 1
Let l(c) be the first derivative of 2*c**3/9 - 608*c**2/3 + 184832*c/3 - 358. Factor l(a).
2*(a - 304)**2/3
Let i = -152798 - -764032/5. Determine u so that 48*u - 40 - i*u**2 + 2/5*u**3 = 0.
1, 10
Let w(d) be the second derivative of d**4/72 - 5*d**3/36 - 350*d**2/3 - 7942*d. Factor w(b).
(b - 40)*(b + 35)/6
Let t(s) be the third derivative of -s**6/6 + 8*s**5/5 + 5*s**4/6 - s**2 - 466*s. Factor t(l).
-4*l*(l - 5)*(5*l + 1)
Suppose -2/3*g**5 + 136/3*g**3 - 512/3*g + 32/3*g**2 + 26/3*g**4 - 544/3 = 0. What is g?
-2, 2, 17
Let g(p) be the first derivative of 2*p**5/45 - 86*p**4/3 + 7396*p**3 - 954084*p**2 + 61538418*p - 1141. Factor g(h).
2*(h - 129)**4/9
Let a be (-219)/15 - -2 - 15/(-25). Let v be -2 - ((-17 - a) + (0 - -1)). Let -6/5*j**v + 0 + 4/5*j + 2/5*j**3 = 0. What is j?
0, 1, 2
Let 592 + 76*t**3 + 2672/3*t + 448*t**2 + 1/3*t**4 = 0. Calculate t.
-222, -2
Let y(d) = 3*d**2 + 15*d + 3. Let c(a) = a + 1. Let o be (-4)/3*45/(-6). Suppose o*v = 12*v + 30. Let g(p) = v*c(p) + y(p). Factor g(q).
3*(q - 2)*(q + 2)
Factor 33/4*l**2 + 9/4*l**3 - 9/4 + 15/4*l.
3*(l + 1)*(l + 3)*(3*l - 1)/4
Let s = 78446 - 235330/3. Factor -2/3*x**4 + 10/3*x**3 - 16/3*x**2 + s*x + 0.
-2*x*(x - 2)**2*(x - 1)/3
Suppose 55*y - 44*y - 6347 = 0. Let l = -13255/23 + y. Factor -2/23*s**2 - 32/23 - l*s.
-2*(s + 4)**2/23
Let o be (-25)/3 + 9/(-216)*-8. Let k(f) = -f**2 - 36*f + 3. Let y(q) = -2*q**2 - 106*q + 8. Let x(b) = o*k(b) + 3*y(b). Determine h, given that x(h) = 0.
0, 15
Let v(h) be the second derivative of h**4/102 + 22*h**3/3 + 373*h**2/17 - 104*h. Find j such that v(j) = 0.
-373, -1
Let z = -26335 + 79007/3. Let n(k) be the third derivative of -z*k**3 + 0*k + 1/6*k**5 - 1/15*k**6 + 0 - 27*k**2 + 7/12*k**4. Factor n(a).
-2*(a - 2)*(a + 1)*(4*a - 1)
Let v be 5 + 1 + (-213)/231 - (-650)/(-910). Factor -v - 164/11*d + 14/11*d**2.
2*(d - 12)*(7*d + 2)/11
Let q(y) be the second derivative of -y**7/42 - y**6/10 + y**5/10 + y**4/2 - y**3/6 - 3*y**2/2 - 823*y. Find s such that q(s) = 0.
-3, -1, 1
Suppose 0 = -2*j + 3*h - 9, -4*j + 9 = 2*h + h. Suppose 4*n + 4 - 12 = j. Find d such that 29*d**n + 180*d - 9*d**4 + 2*d**3 - 168*d - 4 - 2*d**2 = 0.
-1, 2/9, 2
Let m be (3 - 23/7) + (-182763)/(-147). Let g = m - 11183/9. Suppose -2/9*w - 2/9*w**2 + g = 0. What is w?
-2, 1
Solve -1347/2*t**2 - 3/4 - 183/4*t + 1533/2*t**3 + 2697/4*t**4 - 2883/4*t**5 = 0 for t.
-1, -1/31, 1
Let y(f) be the third derivative of f**6/720 + f**5/120 + f**4/48 + 89*f**3/6 + 45*f**2. Let n(w) be the first derivative of y(w). Factor n(o).
(o + 1)**2/2
Let f(h) be the third derivative of -h**7/140 + 3*h**6/5 + h**5/40 - 3*h**4 + 7932*h**2. Find u such that f(u) = 0.
-1, 0, 1, 48
Let d(u) be the third derivative of -u**6/80 - 19*u**5/20 - 139*u**4/16 - 51*u**3/2 + 6*u**2 + 69*u + 3. Factor d(x).
-3*(x + 1)*(x + 3)*(x + 34)/2
Let w = -1043 + 1034. Let k = w + 37/4. Factor k*t**3 - 3/4*t + 0 - 1/2*t**2.
t*(t - 3)*(t + 1)/4
Let v = -38 + 62. Let u be v/(-32)*340*(2 + -3). What is a in -252*a**2 + 0*a + 0*a + a**4 + u*a**2 - 5*a**3 + a**5 = 0?
-3, 0, 1
Let g(c) = -4*c**3 - 2*c**2 + c - 1. Let d(o) = -2*o**4 + 116*o**3 - 3062*o**2 + 21006*o - 45006. Let r(a) = d(a) - 6*g(a). Suppose r(k) = 0. What is k?
5, 30
Suppose 0 = 482*r - 1822*r - 76*r - 133 + 2965. Solve -3/5*a**5 + 12/5*a + 3*a**4 - 3*a**r + 0 - 9/5*a**3 = 0.
-1, 0, 1 | {
"pile_set_name": "DM Mathematics"
} |
-k**7/2520 - k**6/1080 + k**5/360 + k**4/72 - k**3/6 + 3*k**2. Let m(s) be the first derivative of b(s). Factor m(o).
-(o - 1)*(o + 1)**2/3
Let y = -10 + 19. Let n be (-4)/(3/1 - y). What is v in -1/3 - 1/3*v**2 - n*v = 0?
-1
Let m(n) be the second derivative of 0 - 1/4*n**2 + 1/6*n**4 + 3*n - 1/4*n**3. Factor m(u).
(u - 1)*(4*u + 1)/2
Let k = -1/4 - -1/2. Let a(b) be the first derivative of 1/6*b**3 - 1/4*b**2 + k*b**4 + 1 + 0*b. Factor a(n).
n*(n + 1)*(2*n - 1)/2
Let f(j) be the second derivative of 2*j**6/15 - j**5/5 - j**4 + 2*j**3/3 + 4*j**2 - 3*j. Suppose f(z) = 0. What is z?
-1, 1, 2
Let l be (-2)/(-3 + -1)*2. Let q be (8 - 8)*l/(-3). What is a in 11/5*a**2 - 7/5*a**3 - 4*a**4 - 2/5*a + q = 0?
-1, 0, 1/4, 2/5
Let f be -3 + 234/135 + 10/6. Factor -f*p + 4/5 - 2/5*p**2.
-2*(p - 1)*(p + 2)/5
Let v(t) be the second derivative of t**6/360 - t**5/20 + 3*t**4/8 - 5*t**3/6 + 2*t. Let k(r) be the second derivative of v(r). Factor k(g).
(g - 3)**2
Let u(v) be the third derivative of -v**5/24 + v**4/32 + 17*v**2. Factor u(x).
-x*(10*x - 3)/4
Let r(t) = -t**3 + 4*t**2 + 5*t - 4. Let m(w) = w**2 + 2*w - 1. Let k(b) = -6*m(b) + 3*r(b). Factor k(i).
-3*(i - 2)*(i - 1)*(i + 1)
Let r(g) be the third derivative of -g**5/90 + g**4/36 - 6*g**2. Factor r(o).
-2*o*(o - 1)/3
Factor -2*x**2 + 7*x + 0*x - 3*x + 0 - 2.
-2*(x - 1)**2
Let b be 87/6 - (-2 + -1). Let a = b + -16. Factor -1/4*m - 1/4*m**5 - m**2 - a*m**3 - m**4 + 0.
-m*(m + 1)**4/4
Let p(o) be the second derivative of -o**5/40 - o**4/8 + 2*o**2 - 3*o. Let n(y) be the first derivative of p(y). Find w, given that n(w) = 0.
-2, 0
Let j(c) = -c**3 + 9*c**2 - 12*c + 11. Let t be j(8). Let g be ((-111)/t - 2) + -3. Factor 8/7*s**2 - g + 6/7*s.
2*(s + 1)*(4*s - 1)/7
Let t(p) be the first derivative of 2*p**5/35 + p**4/7 + 2*p**3/21 + 16. Let t(d) = 0. What is d?
-1, 0
Suppose 0*u = 3*u + x - 37, -23 = -2*u - x. Suppose -r - z + u = 4*r, 0 = 2*r + 3*z - 3. Factor 1/5 - 1/5*l - 1/5*l**5 + 2/5*l**r + 1/5*l**4 - 2/5*l**2.
-(l - 1)**3*(l + 1)**2/5
Let n(q) be the first derivative of q**4/4 + 7*q**3/3 + 11*q**2/2 + 5*q - 28. Factor n(s).
(s + 1)**2*(s + 5)
Let t(j) = -j - 11. Let k be t(-10). Let o be (1 - k/(-3))*1. Factor 2*y**2 - o*y**3 + 2/3 - 2*y.
-2*(y - 1)**3/3
Suppose 11*a - 2*a = 27. Factor 2/5*b**a + 0 + 2/5*b + 4/5*b**2.
2*b*(b + 1)**2/5
Suppose g - 2*o = -g + 14, 3*g - 18 = 2*o. Suppose g*k = k. Factor -r**3 + 2*r**3 - 2*r**2 + k*r**2 - 2*r**3.
-r**2*(r + 2)
Suppose -6/7*d**2 - 4/7 + 10/7*d = 0. Calculate d.
2/3, 1
Let h(t) be the second derivative of t**5/20 + t**4/4 + t**3/3 - 14*t. Solve h(l) = 0 for l.
-2, -1, 0
Let c(s) be the first derivative of s**6/132 + s**5/30 + 7*s**4/132 + s**3/33 + s**2 + 4. Let h(z) be the second derivative of c(z). Factor h(w).
2*(w + 1)**2*(5*w + 1)/11
Let n(w) = w**2 - w + 3. Let j(m) = -m**3 + 9*m**2 + 3. Let f be j(9). Let l(x) = -2*x**2 + 2*x - 5. Let o(d) = f*l(d) + 5*n(d). Find b, given that o(b) = 0.
0, 1
Let m(k) be the first derivative of -k**3/9 + 2*k**2/3 - 4*k/3 - 1. Suppose m(z) = 0. Calculate z.
2
Suppose -5*k = 15, 3*j - 6 - 3 = k. Let l be 3 - (3 - (-9)/(-3)). Factor x**4 - x**j + l*x - 3*x.
x**2*(x - 1)*(x + 1)
Factor z**3 + 2*z**2 - 3*z + 3*z + z - 4*z.
z*(z - 1)*(z + 3)
Let g(b) = b**3 + 12*b**2 + b + 16. Let q be g(-12). Factor -6*v**2 + 5*v**3 + 5*v**3 - q*v**3 - 2*v**4 + 2*v.
-2*v*(v - 1)**3
Let p(o) be the first derivative of o**4/14 - 2*o**3/21 + 19. Let p(z) = 0. What is z?
0, 1
Let h(k) be the third derivative of k**7/630 + k**6/72 + 2*k**5/45 + k**4/18 - 51*k**2. What is q in h(q) = 0?
-2, -1, 0
Let l(v) be the first derivative of 2*v**5/55 - 3*v**4/11 + 26*v**3/33 - 12*v**2/11 + 8*v/11 + 16. Factor l(a).
2*(a - 2)**2*(a - 1)**2/11
Let u be 1*(-3)/12*-1. Factor 0 + 1/4*x - u*x**2.
-x*(x - 1)/4
Let i = -42 + 169/4. Let 1/4*h**4 + 0 + 0*h - i*h**2 - 1/4*h**5 + 1/4*h**3 = 0. What is h?
-1, 0, 1
Let j(f) = -f + 8. Let m be j(6). Let w = 3/65 + 97/715. Factor -2/11*o**5 + 0*o**3 - 4/11*o**m + 4/11*o**4 + 0 + w*o.
-2*o*(o - 1)**3*(o + 1)/11
Let m = -7 + 10. Suppose 0 = 3*x + m*o - 9, 2*x = 6*x - 4*o - 12. Factor -b**5 - b**3 - b**4 - 4*b**4 + 0*b**4 + x*b**4.
-b**3*(b + 1)**2
Let d(c) = c**2 - 11*c + 6. Let b be d(11). Let h be (1/(9/b))/2. Determine y so that -1/3*y**3 + 0 - h*y + 2/3*y**2 = 0.
0, 1
Find j, given that -10/11*j - 4/11*j**2 - 2/11 + 28/11*j**3 - 18/11*j**5 + 6/11*j**4 = 0.
-1, -1/3, 1
Let b(h) = -h**2 + 9*h. Let y be b(9). Let a be (-4 + 9)*(-6)/(-10). Factor -1/2*m**2 + 1/2*m**4 + y + 0*m + 0*m**a.
m**2*(m - 1)*(m + 1)/2
Let n(z) be the second derivative of -z**5/10 + z**4/6 - z. Solve n(l) = 0 for l.
0, 1
Let w(g) = 2*g**3 + 2*g**2 - 2*g**2 - g**3. Let m(b) = -21*b**3 + 27*b**2 - 36*b + 12. Let d(h) = m(h) + 15*w(h). Factor d(n).
-3*(n - 2)**2*(2*n - 1)
Let a be 10/(-24) - 14/(-21). Suppose -1/4*b**2 + 0 - a*b = 0. Calculate b.
-1, 0
Let j(y) be the first derivative of 1/12*y**2 + 2 - 1/30*y**5 - 1/24*y**4 + 1/18*y**3 + 0*y. Let j(w) = 0. What is w?
-1, 0, 1
Let 2/5*d - 1/2 + 1/10*d**2 = 0. What is d?
-5, 1
Suppose -r - 2*r + 15 = 0. Suppose 4 = 4*x - 4. Factor b**r + 0*b**4 + 2*b**x - b - 3*b**4 + b**4.
b*(b - 1)**3*(b + 1)
Let x(h) be the second derivative of -1/2*h**2 + 0*h**3 - 1/6*h**4 + 0 + 1/6*h**5 + h. Let p(f) be the first derivative of x(f). Factor p(q).
2*q*(5*q - 2)
Factor 32*c**2 - 6 - 9*c**2 + 22*c**2 - 27*c - 12*c.
3*(c - 1)*(15*c + 2)
Suppose b - 27 = -22. Suppose b*f + 3 = 23. Determine q, given that 1/2*q + 0 + 0*q**3 - q**f - 1/2*q**5 + q**2 = 0.
-1, 0, 1
Let k = 29 + -23. Let s(p) be the third derivative of 0 - 2*p**2 + 2/105*p**k - 1/21*p**3 + 0*p + 1/245*p**7 + 1/35*p**5 + 0*p**4. Find c such that s(c) = 0.
-1, 1/3
Let d(g) = -g**2 - 10*g + 11. Let o be d(-10). Factor -3*a**3 - 4*a + 3*a**2 - a**2 + o*a + 2.
-(a - 2)*(a + 1)*(3*a + 1)
Factor -3/2*c**2 - 1/2 - 2*c.
-(c + 1)*(3*c + 1)/2
Let k be 1 + (-3 - -4) + 15. Factor -70*i**2 - 2 + 18*i**3 + 34*i + k*i**3 - 12*i + 15*i**3.
2*(i - 1)*(5*i - 1)**2
Suppose -p + 3*p = 16. Let o = p - 2. Solve -16*k**5 + 5*k - 2*k**4 + 2*k**2 + 18*k**5 - o*k**3 - k = 0 for k.
-1, 0, 1, 2
Suppose -3*z + 15 = 5*x - 22, 2*x = 5*z - 10. Let w(m) be the first derivative of 4/5*m - z + 2/15*m**3 - 3/5*m**2. Factor w(h).
2*(h - 2)*(h - 1)/5
Let p(l) be the third derivative of 0 - 1/70*l**7 + 1/8*l**6 - l**3 + 7/8*l**4 + 0*l + 5*l**2 - 9/20*l**5. Factor p(a).
-3*(a - 2)*(a - 1)**3
Let u(t) be the second derivative of -t**4/3 + 4*t**3/3 - 7*t. Find n, given that u(n) = 0.
0, 2
Let d(y) = 2*y**2 + y + 1. Let o be d(5). Suppose -o*r - 50*r**3 + 3 - 2*r**5 + 16*r**4 + 54*r**2 + 13 + 22*r**2 = 0. Calculate r.
1, 2
Suppose 2*o**2 + 1090*o - 1105*o + 3*o**2 = 0. What is o?
0, 3
Let m(x) be the first derivative of -3/2*x**2 + 1/4*x**4 - 2*x + 0*x**3 - 1. Suppose m(y) = 0. Calculate y.
-1, 2
Suppose -3*w - 5*t - 2 = -4*w, -2*w + 4*t = -4. Factor 9/5*l + 3/5*l**w + 0.
3*l*(l + 3)/5
Factor j**4 + 25*j - 13*j - 14*j - 2*j**2 + 2*j**3 + j**4.
2*j*(j - 1)*(j + 1)**2
Suppose 4 = h + 1. Suppose p - h = 1. Factor -9*b**2 + 0*b**5 + 4*b**p - 2*b + 5*b**2 + 2*b**5.
2*b*(b - 1)*(b + 1)**3
Suppose 0*v - 2*v - k + 3 = 0, -4*v = 3*k - 5. Factor s**v + 72*s**4 - 73*s**4 + 0*s**2.
-s**2*(s - 1)*(s + 1)
Let s(a) = -a**3 + 2*a**2 + a - 2. Let g be s(2). Factor 2/5*t**3 + g + 6/5*t**2 + 4/5*t.
2*t*(t + 1)*(t + 2)/5
Let o be (-40)/(-16)*32/40. Suppose -8/7*w + 8/7*w**o + 0 - 2/7*w**3 = 0. Calculate w.
0, 2
Suppose -37*b**4 + 50*b**4 + 15*b**3 - 10*b**2 + 12*b**4 = 0. Calculate b.
-1, 0, 2/5
Factor -2*k**3 + 3*k**3 - 4*k**3 - 6*k - 9*k**2.
-3*k*(k + 1)*(k + 2)
Let i(s) be the first derivative of -s**3 - 3*s**2/2 + 6*s - 2. Factor i(x).
-3*(x - 1)*(x + 2)
Let m be ((15/25)/(-3))/(4/(-16)). Factor 0*c - 2/5*c**3 + 2/5*c**4 + 0 - m*c**2.
2*c**2*(c - 2)*(c + 1)/5
Let b(h) be the third derivative of 0*h + 0*h**3 + 1/480*h**6 + 0*h**4 - 1/240*h**5 + 0 - 2*h**2. Factor b(n).
n**2*(n - 1)/4
Let w(d) be the first derivative of -3*d**2 - 4 + 0*d - 3*d**3 - 3/4*d**4. Suppose w(l) = 0. What is l?
-2, -1, 0
Let z(g) = -3*g**3 + 15*g**2 - 5*g - 31. Let f(p) = 6*p**3 - 30*p**2 + 11*p + 61. Let o(r) = -4*f(r) - 7*z(r). Find j, given that o(j) = 0.
-1, 3
Let y be (-1 - -2)*3/1. Let c be -1 + (-36)/(-8) - y. Factor -c*u + 0 - 1 | {
"pile_set_name": "DM Mathematics"
} |
). Solve a*h + 0 = -15 for h.
-3
Suppose 44 = 4*n + 2*c + 14, -2*n - 2*c + 10 = 0. Suppose 5*s = 5*r - n, -2*r - 12 = -5*r. Solve s*m = 5*m + 12 for m.
-4
Suppose -21 = -3*g - 6. Let i(s) = -s + 13. Let v be i(8). Suppose -4*l + 22 = q + q, -g*l + v*q + 20 = 0. Solve l = -u + 2*u for u.
5
Suppose 3*z = 4*m - 5*m + 10, -3*z = -5*m + 14. Solve 0 = m*d + 27 - 7 for d.
-5
Let q be (-5)/10 - 66/(-12). Solve -q*z - 2*z = 0 for z.
0
Suppose -3*f = -3*u - 9, -u - 3*u = -2*f + 8. Solve -2 = c + f for c.
-4
Let c = -5 - -8. Let j = 40 - 29. Suppose -2*t + j = 7. Solve 0 = -c*m - t*m - 10 for m.
-2
Suppose 5*o - o - 8 = 0. Let s = 5 - 4. Let w = s + o. Solve -w*k = 9 - 3 for k.
-2
Let p(w) = -w**2 - 15*w - 48. Let o be p(-8). Suppose -2*g = -8, 0*f = -f - 4*g + 19. Solve 0 = f*z - 7 - o for z.
5
Let i(o) = -o**3 + 18*o**2 - 18*o + 19. Let s(y) = y**3 + 16*y**2 - 3*y - 31. Let t be s(-16). Let z be i(t). Solve z*u = -0*u - 6 for u.
-3
Suppose 5*q - 4*c + 8 + 21 = 0, -17 = 4*q + 3*c. Suppose -2*k = 2*k - 8. Let a be 5/k*(7 + q). Solve -2*x + a = -x for x.
5
Let p = 414 + -163. Suppose -16 = -p*j + 247*j. Solve -j = -5*x + 21 for x.
5
Suppose -7*z = 2*z - 117. Solve z*c - 10*c = -9 for c.
-3
Let g(k) = -4*k - 13. Let y be g(-4). Suppose 5*n - 5 = 0, 3 = 5*m - 4*m - n. Solve m*w - 9 - y = 0 for w.
3
Let g(d) = d + 20. Let b be g(-12). Suppose -5*i + b = -37. Solve i*y = 4*y + 20 for y.
4
Let p = 43 + -49. Let v be 2/(p/(-14) + 155/(-525)). Solve 0 = -2*y - y - v for y.
-5
Let k = 28 + -35. Let s(t) = t**3 + 9*t**2 + 12*t - 9. Let h be s(k). Solve 0 = h*f - f - 8 for f.
2
Let r be (66*(-1)/(-7) + -6)*7. Solve r + 6 = 6*x for x.
5
Suppose -2*g + 5*g - 30 = -j, 60 = j - 3*g. Solve 0 = -2*l + 11*l - j for l.
5
Let s be (-280)/(-10) - (-18)/(-3). Solve -17*z + s + 29 = 0 for z.
3
Let q(r) = -r**3 + 4*r**2 + r - 1. Let t = -33 - -37. Let j be q(t). Suppose 2*g - 5*k + 10 - 32 = 0, -g - 3*k = 0. Solve j*m = 5*m + g for m.
-3
Let x be (156/6)/2 - 6. Solve 9*y = x*y + 10 for y.
5
Suppose -27 = 5*k - 77. Let r be (-50)/(-18) + k/45. Suppose -5*c = -t - 15, -3*c + r*t + t - 8 = 0. Solve 0 = 3*y - c*y - 1 for y.
-1
Let b(s) = -11*s - 132. Let k be b(-12). Solve k = 36*n - 29*n for n.
0
Let y be -1 + 4 + (-14)/(-7). Suppose -o = 4*o + 40. Let d be (-4)/o*(-50)/(-5). Solve -y - 5 = -d*b for b.
2
Let n be -2*(-1)/(-4)*0. Let q(g) = 3*g**2 + 28*g + 15. Let o(r) = -2*r**2 - 19*r - 10. Let z(p) = -7*o(p) - 5*q(p). Let w be z(-2). Solve 5*k + n = w for k.
1
Let k = -3 + 15. Let n = 5 - 11. Let p = n + k. Solve -o = -p*o - 15 for o.
-3
Let o be -20*(2/2 - 2). Suppose 5*q = -2*l - o, -12 = -4*l + 3*q - 0*q. Solve 4*v + l = 12 for v.
3
Let o be (7/(-3))/((-12)/36). Suppose 2*j + 40 = o*j. Solve 2*b = -2*b - j for b.
-2
Let n be (9/(-2))/((-6)/(-36)). Let l = n - -27. Solve 2*k = -l*k - 8 for k.
-4
Let k be (-6 + 3)/(-3) + -7. Let j(h) be the third derivative of h**5/60 + 5*h**4/24 + h**3/2 - h**2. Let m be j(k). Solve -4*u + u + m = 0 for u.
3
Let k be (-1)/(((-14)/8)/7). Let m(n) = 14*n**2 - 15*n + 12. Let y(d) = -5*d**2 + 5*d - 4. Let l(q) = k*m(q) + 11*y(q). Let r be l(4). Solve -j - 4*j = r for j.
0
Let o(t) = 103*t - 661. Let z be o(7). Solve 0 = 52*w - z*w - 40 for w.
-5
Let l = -11 - -51. Suppose -2*v - 14 = -l. Suppose -f - 1 = -d + 2*d, 0 = f - 2*d - 14. Solve -f*p - v = -1 for p.
-3
Suppose 65 = 5*p - 5*a, 4*a - 34 = -2*p + 2*a. Solve p*v = 19*v + 8 for v.
-2
Let g(a) = -a**2 - 15*a - 46. Let m be g(-5). Solve m*x + 13 = 29 for x.
4
Let j(w) = -3*w - 4. Let k be j(-8). Suppose -7*y = -2*y - k. Suppose y*x + x - 25 = 0. Solve -x*d - 2 = -6*d for d.
2
Let j = -1939 + 1941. Let f(s) = -s**3 - 7*s**2 - 6*s + 3. Let p be f(-6). Suppose -1 = v - 2*v. Solve j*b + v = -p for b.
-2
Let h be (-5 - -1) + (-6 - -2). Let v(r) = -4*r - 31. Let d be v(h). Solve -d = 3*q + 2 for q.
-1
Let v be (-1)/2*0 - -4. Let r be (-4380)/(-105) - (-4)/14. Let q = r - 34. Solve 2*w = v*w - q for w.
4
Let n(g) = g**3 + 15*g**2 - 11*g + 82. Let a be n(-16). Solve 0 = a*u + 10 - 8 for u.
-1
Suppose 4*n + 26 = -103*u + 104*u, -2*u = 4*n + 8. Solve -u*f + 36 = 24 for f.
2
Suppose 4*m + 17*z + 8 = 13*z, 10 = -5*z. Solve -3*x + 2*x - 1 = m for x.
-1
Let x(m) = m**2 - 2*m. Let b be x(3). Suppose -w + b = 2*t - 0*w, 2*t + 3*w = -7. Solve 8 = -t*o - 0*o for o.
-2
Let r = 10 + -8. Let d(k) = 4*k - 6*k - r - 1. Let l be d(-3). Solve -l*c - c = -16 for c.
4
Suppose 13 = -2*w + 4*m - 3, 0 = 4*w + 2*m - 8. Suppose 0 = 6*l - 6 - 6. Solve w = -c - l for c.
-2
Let k(w) = -w**2 - 14*w - 13. Let h be k(-10). Suppose 2*a - h = -a - 5*l, 3*l - 13 = -a. Solve 0 = a*v + 10 + 6 for v.
-4
Let f be ((35/(-10))/(-7))/((-1)/10). Let l be (1 + 9/(-3))*f. Solve 0 = -0*r - 2*r + l for r.
5
Suppose 106 - 36 = 10*b. Solve -b*a - 4 = 10 for a.
-2
Suppose -c - 28*r = -30*r - 9, -3*c - r = -6. Suppose 2*t - v = 1 + 7, 4 = -4*t - 3*v. Solve 0 = t*h + h + c for h.
-1
Suppose 2*a + 2*t = 30, 0 = 2*a - 12*t + 9*t - 25. Solve 0 = -p + a - 12 for p.
2
Let c be 1/(2/(-5))*(-6)/3. Let z(p) = 2 + 6*p**2 + 0 - 5*p**2 - 5*p. Let i be z(c). Solve -i*g = -g for g.
0
Let j be -177*1/(-5) + 39/65. Solve 0 = j*a - 45*a for a.
0
Let v(a) = -a + 8. Let r be v(6). Suppose 5*u + 3 = 8, -r*k = -4*u - 18. Solve 9 + k = 5*p for p.
4
Let t be (3 - 4)*1 - (-3)/1. Let j be (-2)/2 + 6 - t. Solve 0 = j*n + 2*n for n.
0
Suppose 39 + 199 = 17*s. Solve -10*q = -s*q + 16 for q.
4
Let w be (5 + 21)*(-15)/(-6). Let j = 65 - w. Solve j = -0*a + 4*a + 4 for a.
-1
Let a(n) be the second derivative of -4*n + 1/6*n**3 + 0 - 1/2*n**2. Let v be a(5). Solve 13 = -v*x - 3 for x.
-4
Suppose -4*x + 2*i - 2 = 0, 2*i - 24 = x - 16. Solve -4 = s - x*s for s.
4
Let l(n) be the first derivative of -2*n**2 - 6*n - 25. Let k be l(-2). Solve -3*o = k*o for o.
0
Let r be (13 - 1) + -1 + 1. Let d = -168 - -163. Let f be (-6)/d*80/24. Solve f*u + r = -0 for u.
-3
Suppose h + 4*r + 9 = 0, -4*r = -2*h - 3*r. Let a be (h/2)/((-1)/2). Let z = 5 + a. Solve -l - l = z for l.
-3
Suppose 3*j - 2*r + 83 = 0, 0*j + 4*j + 2*r = -134. Let s = 34 + j. Solve -6*l + 3 = -s*l for l.
1
Let l(d) = 50*d + 253. Let z be l(-5). Let b = -23 - -33. Suppose 2*j + 0*j = 2. Solve -b = -z*y - j for y.
3
Let p = 74 - 9. Let l be (-13)/p - 11/(-5). Solve -l*i + 0 + 6 = 0 for i.
3
Let l = -1631 + 1639. Solve 3 = -7*d + l*d for d.
3
Suppose 0 = -3*w + 6*w + 3*f - 30, -3*f = 4*w - 45. Let i be (21/w)/7 + (-39)/(-5). Solve 3*x = -1 - i for x.
-3
Let k(a) = -a**2 - 11*a - 10. Let q be k(-10). Let y be (-2)/(-3)*(q + -9). Let h = y + 18. Solve 0 + h = 3*n for n.
4
Suppose -2*b = 2*v - 6, -4*v - b + 3 = -2*v. Solve -j = -v*j - 4 for j.
4
Let i(l) = l**2 - 5*l - 4. Let o be i(6). Let g(k) = 2*k**2 + 38*k - 38. Let j be g(-20). Solve -3*n + o = -j*n for n.
2
Let w(a) = 14*a - 811. Let k be w(59). Solve -1 = k*l - 46 for l.
3
Suppose 1 = -4*f + 9. Suppose 0 = -4*z - 2*m + 18, z - f*z - 2*m = 0. Let n(d) = -d**3 - 2*d**2 + 2*d - 4. Let w be n(-4). Solve -z*j - w = -j for j.
-4
Suppose g - 3 = -12*c + 10*c, 4*g = c - 33. Let v be (g + 10)*(-1)/(-3). Solve 2 = -m + v for m.
-1
Let m(o) = o**2 - 72*o - 143. Let i be m(-2). Solve 4*b - i = -b for b.
1
Suppose 9*w - 2*f = 6*w + 18, 0 = -w + 4*f + 6. Solve 11 = w*r - 7 for r.
3
Let d = -834 + 846. Solve k + 13 - d = 0 for k.
-1
Let k = -131 + 133. Solve 4*v + k + 10 = 0 for v.
-3
Let t(c) = c**3 - 6*c**2 + 2*c + 17. Let h be t(5). Suppose -l + h*l = 0. Solve l = i + 3 - 1 for i.
-2
Let n(q) = 3 + 5*q**2 + q**2 + 6*q**2 + 3*q. Let k be n(-3). Let r be k/10 - 5/25. Solve 2*o + 3*o + r = 0 for o.
-2
Let u(k) = 8*k + 58. Let j be u(-7). Solve -7*t + t = -j*t for t.
0
Let a be (0/1)/1 + 3. Suppose -a*f = s - 66, 3*f - 99 = -3*s - 27. Solve 6 = 3*k + f for k.
-5
Let x be 9/(6 - 2 - (2 - -1)). Let q be (x/(-4))/(24/(-32)). Solve -m = -q*m for m.
0
Suppose -1120 = -16*j - 3456. Let m = j + 151. Let y be 2/4*(1 - -5). Solve -y*z = -m*z + 2 for z.
1
Let s = -2 - -7. Suppose -7 = c - 2*n, -n + 6*n = s. Let p = c + 10. Solve 4*d + d = p for d.
1
Let c(p) = -p**2 + 8*p + 9. Let m be c(9). Suppose -3 = 3*n, 4*o + 0*n - 51 = 3*n. Solve m*b + o = 4*b for b.
3
Let r = 12 - 10. Suppose 0 = -r*l + 6*l. Suppose l*p + 4 = p. Solve -v - 12 = -p*v for v.
4
Let r(m) = m**2 + 3*m - 1. Let l be r(-4). Supp | {
"pile_set_name": "DM Mathematics"
} |
9009745 to the nearest integer?
79
What is 1034403104 to the power of 1/8, to the nearest integer?
13
What is 99946880 to the power of 1/2, to the nearest integer?
9997
What is 188469142 to the power of 1/2, to the nearest integer?
13728
What is 837577116 to the power of 1/4, to the nearest integer?
170
What is 1677084720 to the power of 1/10, to the nearest integer?
8
What is the fifth root of 111153852 to the nearest integer?
41
What is 296787872 to the power of 1/2, to the nearest integer?
17228
What is the square root of 97085937 to the nearest integer?
9853
What is the cube root of 669376514 to the nearest integer?
875
What is the square root of 57644064 to the nearest integer?
7592
What is 176731896 to the power of 1/2, to the nearest integer?
13294
What is the tenth root of 176079541 to the nearest integer?
7
What is 45799999 to the power of 1/9, to the nearest integer?
7
What is 1963650523 to the power of 1/10, to the nearest integer?
8
What is the cube root of 97188224 to the nearest integer?
460
What is 1046902304 to the power of 1/3, to the nearest integer?
1015
What is the eighth root of 861774090 to the nearest integer?
13
What is 560418812 to the power of 1/2, to the nearest integer?
23673
What is the square root of 494391927 to the nearest integer?
22235
What is 26429313 to the power of 1/3, to the nearest integer?
298
What is 175451621 to the power of 1/2, to the nearest integer?
13246
What is the ninth root of 7494860 to the nearest integer?
6
What is 903621699 to the power of 1/2, to the nearest integer?
30060
What is the square root of 198455392 to the nearest integer?
14087
What is 2729152008 to the power of 1/2, to the nearest integer?
52241
What is the third root of 47322337 to the nearest integer?
362
What is 4650762553 to the power of 1/3, to the nearest integer?
1669
What is the sixth root of 549842392 to the nearest integer?
29
What is 27247027 to the power of 1/5, to the nearest integer?
31
What is 1758464019 to the power of 1/3, to the nearest integer?
1207
What is 105029381 to the power of 1/2, to the nearest integer?
10248
What is 50431456 to the power of 1/10, to the nearest integer?
6
What is the third root of 1764713928 to the nearest integer?
1208
What is the eighth root of 361076988 to the nearest integer?
12
What is the cube root of 177108288 to the nearest integer?
562
What is the square root of 8068331952 to the nearest integer?
89824
What is the eighth root of 48142674 to the nearest integer?
9
What is 1723049225 to the power of 1/3, to the nearest integer?
1199
What is the third root of 2557263582 to the nearest integer?
1367
What is the cube root of 4443678151 to the nearest integer?
1644
What is the tenth root of 43965575 to the nearest integer?
6
What is the eighth root of 2029271111 to the nearest integer?
15
What is 18583110 to the power of 1/2, to the nearest integer?
4311
What is the third root of 901795864 to the nearest integer?
966
What is the cube root of 1153393312 to the nearest integer?
1049
What is the square root of 13607109 to the nearest integer?
3689
What is the ninth root of 7104158 to the nearest integer?
6
What is 37393339 to the power of 1/6, to the nearest integer?
18
What is 67001551 to the power of 1/7, to the nearest integer?
13
What is 8777208 to the power of 1/2, to the nearest integer?
2963
What is 706270938 to the power of 1/5, to the nearest integer?
59
What is 4839308211 to the power of 1/3, to the nearest integer?
1691
What is the third root of 17089575 to the nearest integer?
258
What is the ninth root of 34244303 to the nearest integer?
7
What is the square root of 2124516676 to the nearest integer?
46092
What is the fourth root of 418385354 to the nearest integer?
143
What is the square root of 27623498 to the nearest integer?
5256
What is 55082281 to the power of 1/9, to the nearest integer?
7
What is the third root of 1674077769 to the nearest integer?
1187
What is the seventh root of 390330254 to the nearest integer?
17
What is 22845212 to the power of 1/9, to the nearest integer?
7
What is 150582529 to the power of 1/3, to the nearest integer?
532
What is 2172811030 to the power of 1/2, to the nearest integer?
46613
What is 1514517 to the power of 1/2, to the nearest integer?
1231
What is 4466513963 to the power of 1/2, to the nearest integer?
66832
What is 47567240 to the power of 1/2, to the nearest integer?
6897
What is 43700721 to the power of 1/5, to the nearest integer?
34
What is the ninth root of 1022292 to the nearest integer?
5
What is 33236834 to the power of 1/5, to the nearest integer?
32
What is 110782660 to the power of 1/2, to the nearest integer?
10525
What is the sixth root of 9990875 to the nearest integer?
15
What is 1698039411 to the power of 1/2, to the nearest integer?
41207
What is the square root of 68189533 to the nearest integer?
8258
What is the cube root of 78058521 to the nearest integer?
427
What is 512993944 to the power of 1/10, to the nearest integer?
7
What is the third root of 40082745 to the nearest integer?
342
What is the sixth root of 1867325952 to the nearest integer?
35
What is the cube root of 622260342 to the nearest integer?
854
What is the cube root of 15833170 to the nearest integer?
251
What is 373994877 to the power of 1/2, to the nearest integer?
19339
What is 31140109 to the power of 1/2, to the nearest integer?
5580
What is the square root of 59538884 to the nearest integer?
7716
What is the seventh root of 259727359 to the nearest integer?
16
What is 318697979 to the power of 1/2, to the nearest integer?
17852
What is 105377776 to the power of 1/2, to the nearest integer?
10265
What is 142823106 to the power of 1/2, to the nearest integer?
11951
What is the fourth root of 430189860 to the nearest integer?
144
What is the third root of 220033849 to the nearest integer?
604
What is the square root of 263269666 to the nearest integer?
16226
What is the tenth root of 243287836 to the nearest integer?
7
What is 24152135 to the power of 1/9, to the nearest integer?
7
What is the eighth root of 543242398 to the nearest integer?
12
What is the third root of 232933062 to the nearest integer?
615
What is the sixth root of 1087925685 to the nearest integer?
32
What is 350147420 to the power of 1/3, to the nearest integer?
705
What is the square root of 284760331 to the nearest integer?
16875
What is the third root of 112344707 to the nearest integer?
483
What is 325261661 to the power of 1/4, to the nearest integer?
134
What is 140421269 to the power of 1/7, to the nearest integer?
15
What is the cube root of 1265186379 to the nearest integer?
1082
What is 2251286011 to the power of 1/8, to the nearest integer?
15
What is the ninth root of 9915500 to the nearest integer?
6
What is 33422168 to the power of 1/2, to the nearest integer?
5781
What is 3088349015 to the power of 1/2, to the nearest integer?
55573
What is the square root of 20503906 to the nearest integer?
4528
What is 188908904 to the power of 1/2, to the nearest integer?
13744
What is the cube root of 3675516602 to the nearest integer?
1543
What is 1084455604 to the power of 1/2, to the nearest integer?
32931
What is 74689917 to the power of 1/5, to the nearest integer?
38
What is 3584481060 to the power of 1/3, to the nearest integer?
1530
What is the eighth root of 3921373965 to the nearest integer?
16
What is 9331353 to the power of 1/2, to the nearest integer?
3055
What is the third root of 439824927 to the nearest integer?
760
What is the cube root of 832144701 to the nearest integer?
941
What is 309276474 to the power of 1/3, to the nearest integer?
676
What is 970466620 to the power of 1/2, to the nearest integer?
31152
What is the third root of 1279253769 to the nearest integer?
1086
What is the square root of 874648337 to the nearest integer?
29574
What is the cube root of 886488796 to the nearest integer?
961
What is the cube root of 3193707081 to the nearest integer?
1473
What is the third root of 4411891267 to the nearest integer?
1640
What is the third root of 147729947 to the nearest integer?
529
What is 83271034 to the power of 1/2, to the nearest integer?
9125
What is the third root of 5073838 to the nearest integer?
172
What is 8772736608 | {
"pile_set_name": "DM Mathematics"
} |
= 4205/4 + -8215/8. Let a = 49/2 - u. Let w be 1 - (-1 - 24/(-13)). What is the third biggest value in w, a, 0.3, 3/16?
w
Let m = -0.06335 + 0.66335. What is the smallest value in m, 0.2, 2, 22/7?
0.2
Let d = -2259 - -15811/7. Let m = -4.9 + 11.7. Let c = -7 + m. What is the third biggest value in d, 0.4, c, -5?
d
Suppose -4*t + 32 - 132 = 2*v, 6 = -3*v. What is the biggest value in t, 0.1, -3/4, 1/11?
0.1
Let m be (328/(-64) - -9) + (-69)/24 + 3. What is the third smallest value in m, 123, 7/6?
123
Let y = -37.37 + -0.63. Let t = 54.5 + -93. Let j = y - t. Which is the third biggest value? (a) -0.4 (b) 0 (c) j
a
Let u = -0.16 + 8.16. Suppose -4*v - 4 = 0, -3*d + 5*v = 2*d - 10. Let r be (6/(-24))/(d - 2/4). Which is the third smallest value? (a) u (b) 1 (c) r
a
Let q = 1.9 - 1.1. Let f = 877.3 + -877.5. Which is the fourth biggest value? (a) q (b) 0.2 (c) f (d) 0.4
c
Let c be 14574/7*2/14. Let n = c - 298. Let h = 1970.05 + -1970. What is the third smallest value in h, 2, 0.4, n?
0.4
Let z = 0.357 - -160.643. Let w = -171 + z. Which is the smallest value? (a) w (b) -4 (c) 4 (d) 3/5
a
Let d = -8659.1 - -8659.5. Let s = 8/7 + -1. Which is the third biggest value? (a) 2/7 (b) d (c) s
c
Let g be (-340)/(-102)*6/4. Let p = -8 + 3. Which is the biggest value? (a) g (b) -1/6 (c) p
a
Let k = 39.1 - 41. Let t = 2 + k. Let d = 13054.5 - 13054. What is the second smallest value in 4, t, d?
d
Let o = 169.682 + -170. Let i = o - 0.182. Suppose 8 = -6*z + 2*z. Which is the second biggest value? (a) -2/5 (b) i (c) z (d) -1/4
a
Let q = -199 - -86. Let s = q - -116. Which is the third smallest value? (a) -1 (b) s (c) 3/7
b
Let s(n) = n**3 - 20*n**2 + 103*n - 30. Let o be s(11). Let v = -77/260 + 9/20. What is the third biggest value in o, v, -29?
-29
Let z = -16750.3 + 16749.8. Let q = 8 + -8.3. Let r = -0.5 + q. What is the third smallest value in r, -1/5, 0.5, z?
-1/5
Let s = 5273 - 5271. What is the fifth smallest value in 2/7, 0.06, 1/4, s, 0.02?
s
Let f be 10/(22/50 - (-4)/(-10)). Suppose -f*k = -252*k + 6. Which is the smallest value? (a) k (b) 4 (c) 0.1 (d) -2/13
d
Let o = -16/757 - 501/12112. Which is the second biggest value? (a) -225 (b) o (c) 2
b
Let f = -124.79 - -132.79. What is the smallest value in f, 7, -4, -5, 0.3?
-5
Let w = 15.2 - 15. Let s = 3550 - 3549. What is the third biggest value in s, w, -4/3, 1/4?
w
Let u = 0.01713 - 206.71713. Let t = u - -207. What is the smallest value in t, -1, -2/15?
-1
Let q = 0.05019 - 0.01019. Which is the smallest value? (a) 52 (b) 3/2 (c) q
c
Let g = -26375/3 - -8679. Let u = g - -113. Which is the third biggest value? (a) 10 (b) u (c) 2
b
Let i be 12/(-14) + -1 - -1. Let w = -247764 - -1982111/8. Which is the smallest value? (a) 2/19 (b) i (c) w
b
Let r = -2546.82 + 2548.82. Let q = 0 - -0.1. Let l = q + -0.3. Which is the second biggest value? (a) r (b) l (c) -5
b
Let o be (-402)/78 - (2 + -7). Which is the third biggest value? (a) o (b) 1539 (c) -1/4
c
Let p = -109 - -107. Which is the fourth biggest value? (a) 2/27 (b) 2/15 (c) p (d) 5/2
c
Let s be 11/77 - ((-40)/14 + -2). Suppose -4*h - 32 = s*d, 2*d - 4 = 3*d. Which is the biggest value? (a) h (b) 3/4 (c) -0.4
b
Let n be (-18)/(-99)*946/602. Suppose 2*k = 4, -4*x + 4*k + 7 = 35. Let d = 1.9 - 2. What is the second biggest value in d, -1, x, n?
d
Let i = -311 - -261. Let w = 55 + i. Which is the second smallest value? (a) -1 (b) w (c) -4 (d) -10
c
Let q = 288 - 289.57. Let m = -2.07 - q. What is the third biggest value in -2, m, 0?
-2
Suppose 2*p = 3*x - 7*x + 6, -9 = -5*x - 4*p. Let f be (0 + (x - 2))*(-2)/12. Let d = 0.16 - -0.04. Which is the second biggest value? (a) f (b) -0.12 (c) d
a
Let g = -0.03 + 80.03. Let d = g - 79. Let j = -8 + 7. Which is the second biggest value? (a) d (b) j (c) 2
a
Let z = -3562 - -3449. What is the third biggest value in -3/5, z, 0.2, -0.2, -5?
-3/5
Let v be (3*(-8)/(-18))/((-16)/1032). Let g = v + 90. What is the third smallest value in -0.5, g, 0.7, 7?
g
Let y = 10.129 + -10. Let r = y - -184.871. Let u = r + -119. Which is the smallest value? (a) u (b) 1 (c) -5/3
c
Let l = 29253 + -29259. What is the second smallest value in l, 4, -2/629, 3?
-2/629
Let i = -0.06856 + 0.56856. Which is the second biggest value? (a) -2 (b) 0.22 (c) i (d) -6
b
Let m = 48.7 - 48.538. Let x = 0.038 + m. Which is the biggest value? (a) -4 (b) 0.5 (c) x
b
Let j = -31945 - -31951. What is the second biggest value in -3, -26/3, j?
-3
Let t = -1.3716 + 1.3416. What is the biggest value in t, 0.4, 145?
145
Let p(k) = -11*k**2 - 198*k + 4. Let u be p(-18). Which is the second biggest value? (a) -4/13 (b) -3 (c) -2/9 (d) u (e) 1/3
e
Let q = 96547/7 - 13792. Which is the second biggest value? (a) q (b) 5 (c) -0.6 (d) -0.4
a
Let c be (0 + ((-18)/(-15) - 0))/(80/(-50)). Let f = 0.027 + 0.463. Let g = f - -0.01. What is the third biggest value in 10, g, 3, c?
g
Let s be (-18 - 1140/(-144)) + 2 + 8. What is the third smallest value in -3, -13, s, -0.1?
-0.1
Let q be 1/(-4) - (6 + 175/(-28)). Let w be (30/(-4))/(264/176). Which is the third biggest value? (a) -30 (b) w (c) q
a
Let r = -6818/3 - -2271. Which is the second smallest value? (a) 1 (b) r (c) 161
a
Suppose -195*p = -199*p + 24. Let k = -14 - -12. What is the second biggest value in p, 4/9, -3, k?
4/9
Let g = 5.03 - 5. Let a = -176337 + 176345. What is the second smallest value in g, a, 1/2, 1/6?
1/6
Let y = 831/20 - 10039/180. What is the biggest value in y, 1, -4?
1
Suppose 4*q + g + 22 = 0, 2*g = -5*q + 2*q - 9. What is the third smallest value in 0.2, q, 2/13, -4, 0.5?
2/13
Let w = -10.272 - -5.272. Let x = -5.9 + 5.877. Which is the fourth biggest value? (a) x (b) -2/13 (c) -3 (d) w
d
Let z = -1728 + 1725. Which is the second biggest value? (a) 0.5 (b) -108 (c) -1 (d) z
c
Let x be (-69)/(-180) - (-6 + (1 - 154/(-30))). What is the second smallest value in 29, -0.04, x?
x
Let k be -1*((-21)/49 - (-34)/14). Let z be (-7 + 11 + k)*-1. Which is the third biggest value? (a) -15 (b) z (c) -6
a
Suppose 0 = 50*t - 52*t + 5*r + 31, 4*t - 3*r = 27. What is the second biggest value in t, -254, -4/3?
-4/3
Let q = 117 - 113.6. Let h = -6.4 + q. Let f = -0.03 + 0.03. What is the second smallest value in h, f, 0.5?
f
Let r be 6*(-5)/((-1080)/(-12)). Let w = -0.31 - -0.21. Which is the second biggest value? (a) w (b) -0.04 (c) r
a
Let h = 17.473 + -17.873. Which is the second smallest value? (a) 6 (b) h (c) -6/7 (d) -3
c
Let q = -585 + 585.1. Which is the fourth smallest value? (a) 0.08 (b) -1/7 (c) -5 (d) q (e) -1.2
a
Let z = 245 + -82. Let l = z + -159. What is the second biggest value in -2, 0, l, -1?
0
Let i = 26.7458 - 0.7458. What is the third smallest value in i, 53, -2?
53
Suppose -3*w - 4*o - 22 = 0, -3*w - o + 0 = 10. Let x = w + 5. Suppose -8 = x*g - 4*g. Which is the third smallest value? (a) 2/11 (b) g (c) 0.4
b
Let r = 0.02 + 3.98. Let i = 4420 + -4423. Which is the third smallest value? (a) r (b) i (c) -1/13
a
Let i be (912/(-17))/(-3) + -18. What is the third biggest value in -0.4, 0, i, 0.4?
i
Let x = 2.553 - 2.483. Which is the second smallest value? (a) -0.3 (b) x (c) -11/5
a
Suppose 4*p + 56 = -3*p. Let u be 3/5*(-11)/(165/10). What is the third smallest value in p, u, 0, -0.5?
u
Let j be (260/(-33) + 8)/(6/9). Which is the biggest value? (a) -51 (b) j (c) 2 (d) 0.3
c
Let x = -0.55309 + 0.15309. Which is the third biggest value? (a) -0.09 (b) x (c) 10/9
b
Suppose -2*l = -l + 2. Let o = -349.813 + 350. Let b = o + 0.113. What is the smallest value in b, l, 13?
l
Let t be -1 + ((-34)/20)/(66/(-44)). Let d = -101 + 93. Which is the third smallest value? (a) -0.4 (b) d (c) t
c
Let l = 12661.3 - 12661. Which is the smallest value? (a) -5 (b) -4/137 (c) l
a
Let z = -8621 - -8621.1. Let q = -22 + 12. Let t(l) = l**3 + 11*l**2 + 10*l + 2. Let w be t(q). What is the third smallest value in 1/2, z, 3, w?
w
Let q = -1332.8 + 1191. Let z = q + 142. Let h = -0.39 + 0.09. What is the fourth smallest value in h, -0.4, z, 2/5?
2/5
Let d = -478.7 - -477. Let q = 9.7 + d. What is the fourth smallest value in -0.3, 4, q, -0.1?
q
Let p be ((-16)/30)/((168/(-40) | {
"pile_set_name": "DM Mathematics"
} |
107 + 3*c + 0*c - 8*c + 2*c.
-5*c + 47
Expand (19 - 4 + 2*m - 11)*(0 - 4 + 2)*(3 - 1 - 3) + (3 + 0 - 2)*(5*m - m - 3*m + (3 - 7 + 3)*(-3*m + 0*m + 2*m) - 9*m - m + 6*m).
2*m + 8
Expand 8*s**2 - 14*s**2 - 5*s**2 + (0*s**2 + 3*s**2 - 5*s**2)*(-1 - 2 + 5) + (2*s + 6*s + 0*s)*(-2*s - 1 + 1).
-31*s**2
Expand (2*w**3 + w**2 - w**2)*(3 + 0 - 2)*(1233 + 1250 + 4332*w - 2483).
8664*w**4
Expand (-3 + 3 + z**2)*(-15 + 5*z**3 + 15) + (63 + 2*z**3 + 3061*z - 3061*z)*(5*z**2 - 2*z**2 - 2*z**2).
7*z**5 + 63*z**2
Expand (9*x - 87*x - 82*x + (5*x - 4*x - 2*x)*(3 + 2 - 6))*(0 + 2 - 4)*(-6 + 2 + 2).
-636*x
Expand (1 + 3 - 5)*(217*c**5 - 121*c**5 - 42*c**5) + 12*c**5 + 19*c**5 - c**5.
-24*c**5
Expand (v**2 - 3*v**2 + v**2)*(266 + 5 + 380 + 190).
-841*v**2
Expand (-61*h - 141*h + 20*h)*(-5*h + 0*h + 3*h) + h**2 - h**2 - 2*h**2 + (0 + 0 + 2*h)*(2*h - 3*h + 0*h) + 0*h - 2*h**2 + 0*h.
358*h**2
Expand (13 + 473*y - 13)*(-1 + 2 - 3).
-946*y
Expand 2*t**3 + 2*t**4 - 2*t**3 + (7*t - 7*t + 8*t**2)*(-3 + 3 - 2*t**2) - 29 + 146 - 15*t**4 + 17*t**4 + t**3.
-12*t**4 + t**3 + 117
Expand ((1 - 1 + 2*n)*(1 - 1 + n**2) + (-5 + 1 + 3)*(-n**3 + 3 - 3) - 2*n**3 + 5*n**3 - n**3 + 6*n**3 + 2*n**3 + 7*n**3)*(6*n - 8*n + 3*n).
20*n**4
Expand 3*q**3 - q**3 - q**3 + (-2*q + q**2 + 2*q)*(-4*q + 2*q + 3*q) + (3 - 31 - 12)*(11*q - 11*q + q**3) - 12*q + 12*q - 5*q**3.
-43*q**3
Expand (-2 + 1 + 2)*(-2*u - 3 + 3) - 3162 - 1030*u - 1020*u + 2053*u.
u - 3162
Expand i**5 - 4*i**5 + 7*i**5 + (2*i - 2*i**2 - 2*i)*((0*i + 0*i - i)*(-2*i**2 + 0*i + 0*i) + (-3*i - i + 0*i)*(3*i**2 - 4*i**2 + 3*i**2)).
16*i**5
Expand (-2*c + 0*c**4 - 2*c**4 + 4*c)*(31 + 15 + 238*c - 46).
-476*c**5 + 476*c**2
Expand (7 + 8 - 4)*(-2*u + 3 - 3)*(150 - 20 - 39).
-2002*u
Expand (-79 + 205 + 2*b - 38 + b**2)*(-6*b**3 - 2*b**3 + 14*b**3).
6*b**5 + 12*b**4 + 528*b**3
Expand -n + n**3 + n + (15*n**2 + 8*n**2 + 25*n**2)*(0 + 0 + 2*n) - n**3 + 0*n**3 + 2*n**3.
98*n**3
Expand (9*r**3 - 56*r**3 - 12*r**3 + (3 - r - 3)*(-2*r**2 + r**2 - r**2) - 4*r**3 + 2*r**3 + 3*r**3)*(-2*r + 2 - 2) + 3*r**4 + r**2 - r**2.
115*r**4
Expand (83 - 90 + 70)*(-15*j + 4*j - 5*j + 3*j - 4*j + 0*j - 6*j + 3*j + j + (-1 - 2 + 2)*(-j + 4*j - j) + 7*j - 4*j - 4*j).
-1386*j
Expand (1 + 4 + 3)*(-6*k - 99*k - 23*k)*(-1 - 1 + 5).
-3072*k
Expand -664*p**2 + 1324*p**2 - 662*p**2 + 562*p**5 + (-5*p + 5*p - p**2)*(0*p**3 + 0*p**3 - p**3) - 2*p**5 + 2*p**5 + p**5.
564*p**5 - 2*p**2
Expand (-4 - b + 4)*(-35 - 30 + 29).
36*b
Expand (6*r**2 - 6*r**2 + 6*r**3)*(3*r**2 - 7*r**2 - 13*r**2) - 6*r**5 + r**5 + 0*r**5 + (2*r**3 - 5*r**3 + 4*r**3)*(1 + 2*r**2 - 1).
-105*r**5
Expand (0 - 4 + 0)*((0*t + 2*t - 4*t)*(0 - 2*t + 0) + (12*t + 0*t - 2*t)*(3 - 1 - 4)*(-t - 2*t + 4*t)*(-4 + 2 + 0)*(1 + 2 - 1)).
-336*t**2
Expand (-30 - 25 - 6)*(4*z + 8*z - 20*z).
488*z
Expand 29*o**4 + 40*o**4 - 54*o**4 + (3 + 3*o**3 - 3)*((5 - 4 + 15)*(0*o + o - 2*o) + o - o - 2*o).
-39*o**4
Expand (72 - 2 + 24 + 14)*((2 - 2 + 1)*(-5 + c + 5) - 4*c + 19*c - 8*c).
864*c
Expand (-2*p**3 - p**3 + 11*p**3)*(-86726 + 90*p**2 + 86726).
720*p**5
Expand (-4*s**3 + s**3 + 8*s**3)*(-6*s + 6*s - 6*s**2) - 3*s**5 + 4*s**5 + s**5 + (2*s - 4*s**2 - 2*s)*(4*s**3 - 3*s**3 - 2*s**3).
-24*s**5
Expand ((-z + 7*z - 3*z)*(-1878 + 929 + 922 - 11*z) + 2*z**2 - z**2 + 0*z**2)*(4*z - 4*z - 2*z**2).
64*z**4 + 162*z**3
Expand (0 + 0 - 2*x)*(109*x + 10*x + 83*x)*(-2*x + 2*x - 7*x**2).
2828*x**4
Expand (l + l - 5*l)*(0 + 0 + l**3 + (-6 + 2 + 2)*(127*l**3 - 1015*l + 1015*l)).
759*l**4
Expand (-50*q**3 + 54*q**3 - 220*q**3)*(5 - 8 + 3 - 30*q**2) + (-3 - 1 + 6)*(2*q**5 - q**5 - 2*q**5).
6478*q**5
Expand (2*c**3 - c**3 + 0*c**3 + (-4*c + 5 - 5)*(-7*c**2 + 8*c**2 + 4*c**2))*(c - 2 + 2).
-19*c**4
Expand (-2*x + 4*x - 4*x + (0 + x + 0)*(0 + 3 - 4) - 9*x - 3 + 6 + 10*x)*(34 + 2*x - 213 - 3*x).
2*x**2 + 355*x - 537
Expand (-3*h - h**2 + 3*h)*(2168*h**2 - 14587*h**2 - 941*h**2).
13360*h**4
Expand 0*u + u - 4*u + (-1 + 4 - 1)*(-2*u - u + u) - u + 0*u + 4*u + u + 8 - 40 + 21.
-3*u - 11
Expand (0 + 0 - 4)*(-4*u + u + 2*u)*(9 - 26 - 18 + 3 - 21).
-212*u
Expand (-162 + 687 + 833)*(-11*c**2 + 9*c**2 + 7*c**2 - c**2 - 2*c**2 + 2*c**2 + 0*c**2 + 4*c**2 - 5*c**2 + (-1 - 2*c + 1)*(c - c - 2*c)).
9506*c**2
Expand (-1 - 1 + 4)*(-w**2 + 3*w - 3*w) - w**2 + 4*w**2 - 2*w**2 + 37465*w**2 - 57927*w**2 + 34062*w**2.
13599*w**2
Expand 3*f**2 + 2*f**2 + 2*f**2 + 1 + 2 - f**2 - f**2 + 2*f**2 - 3*f**2 - 5*f**2 + (3*f - f + 0*f)*(1 - 1 - f) - 7*f**2 + 5*f - 5*f.
-10*f**2 + 3
Expand (1904 - 388 - 165 + 3708 + 4026)*(0*d**5 + 5*d**5 - 3*d**5).
18170*d**5
Expand -3*f**3 + f**3 - 3*f**3 + (0*f + f - 2*f)*(0*f**2 + 4*f**2 - 5*f**2) + f**3 + f**3 - 3*f**3.
-5*f**3
Expand -4*f**5 + 2*f**5 + 0*f**5 + 12*f**2 - 12*f**2 + 4*f**5 + (1668*f + 110*f**3 - 1668*f)*(-2*f + 0*f + 4*f)*(-3 + 0 + 2)*(-6*f + 5*f + 4*f).
-658*f**5
Expand (-r + 5*r + 2*r)*(3*r + 2*r + r) - 39*r + 16*r + 15*r + 2*r**2.
38*r**2 - 8*r
Expand (-4 - 5 + 1 + 0 + 2 - 3 + (-1 + 1 + 2)*(2 - 5 + 4) - 4 + 1 + 2 - 1 + 0 - 1 + 2 - 3 + 3 - 4 + 4 + 2 - 1 + 4 - 4)*(-97*y - 18*y - 6*y)*(0 - 2 + 0).
-1694*y
Expand (1259*d + 1187*d - 2236*d)*(d**4 + 2*d**4 - 2*d**4) - d - d + 2*d**4 + d + d**5.
211*d**5 + 2*d**4 - d
Expand (6*o - o - 3*o)*(-4 + 5 + 3)*(4*o - 5*o + 3*o + (-3 + 1 + 3)*(-o + 5*o - 2*o) + 3*o - 5*o + 3*o)*(352*o**3 - 188*o**3 + 453*o**3).
24680*o**5
Expand (-2*o**2 + 3*o**2 + 0*o**2)*(-132*o - 354*o + 317*o).
-169*o**3
Expand (-676 - 1758 - 6961 - 1732 + 1190)*(-3 - z**2 + 3).
9937*z**2
Expand (-258 - 21 - 677)*((-5*k + 2*k + 4*k)*(1 + 0 - 4) + k + 2*k - k).
956*k
Expand 1 - 1568*x + 1850*x - 1 + (-4 - 3 + 6)*(-1 - x + 1) - x + 3*x + 0*x.
285*x
Expand (5 + p - 2*p + 1 + (2*p + 1 - 1)*(2 + 0 + 2))*(-162*p - 191 + 191).
-1134*p**2 - 972*p
Expand 4 - 2*h**4 - 4 + (h + 3*h - 2*h)*(2*h**3 - h**3 - 2*h**3) + 5*h**4 - 2*h**4 - 4*h**4 + (-3*h**3 - 2*h**3 + h**3)*(-171*h - 531*h - 306*h).
4027*h**4
Expand (-3 + 3 + 1)*(808 + 765 + 5*k + k**2 - 1562).
k**2 + 5*k + 11
Expand (-j + j - 2*j)*(3*j - 2*j - 2*j) + j**2 - j + j + (-5*j + 25*j + 0*j)*(6 + 6 + 1)*(-3*j - 4*j + j).
-1557*j**2
Expand (132 + 219 - 210)*(-4*r**4 - 2*r**4 + 5*r**4) - r**4 - r**4 + r**4.
-142*r**4
Expand (1466*t**2 - 30801*t + 61605*t + 4 - 30804*t)*(-6*t + 4*t + t).
-1466*t**3 - 4*t
Expand 14*l**5 - 5*l**5 - 8*l**5 + l**2 - l**2 - l**5 + (-l**3 + l**3 + l**3)*(-4 + 4 + 4*l**2) - 7*l**4 - l**5 + 0*l**5 - 3*l**4.
3*l**5 - 10*l**4
Expand (-9*b**2 + b**2 - 2*b**2)*(-3*b + 3*b + 2*b + (-4 + 3 + 3)*(-5*b + b + 2*b) + 0*b - 4*b + b).
50*b**3
Expand (-k**2 + k**2 + 16*k**4)*(-2*k - 2*k + k)*(1 + 8 - 2).
-336*k**5
Expand (-2 - 3*g + 2 - 1)*(-126*g + 1169*g - 4775*g).
11196*g**2 + 3732*g
Expand (-1 - 1 + 5)*(-49*a**2 + 0*a**2 + 112*a**2)*(-5*a**3 - 6*a**3 + 0*a**3).
-2079*a**5
Expand (-2*f**3 - f**3 + 4*f**3)*(13 + 57 + 3337*f - 3391*f).
-54*f**4 + 70*f**3
Expand (-5 + 5 - 6*v)*(6*v - 4*v - 4*v)*(276 - 184 + 214).
3672*v**2
Expand (1 - 1 + 2)*(0*z**2 + 2*z**2 - z**2) + (16 - 127*z - 16)*(-192 - 43*z + 192).
5463*z**2
Expand (-5*y**3 + 4*y**3 - y**3)*(0*y**2 + 5*y**2 - 2*y**2) + (164*y**3 - 29*y**4 - 164*y**3)*(-y - 5*y + 3*y).
81*y**5
Expand (1 - 1 - 1)*(1 + 2 - 1)*(-1758 - 1722 - 998)*(-8*b**2 + 2*b**2 + b**2).
-44780*b**2
Expand 28*f**2 - 5*f**3 - 32*f**2 + 3*f**3 - 6*f**3 + 5*f**3 + 2*f**3 + (0*f + 5*f - 4*f)*(2*f + 12*f**2 + 2031 - 2031).
11*f**3 - 2*f**2
Expand (406 - 430 - 3*i + 10*i)*(-12 + 1 + 1).
-70*i + 240
Expand (i**3 - 3*i**3 + i**3)*((i**2 + 4*i - 4*i)*(0 - 2 + 3) + 2*i**2 + 47*i**2 + 34*i**2).
-84*i**5
Expand (6*i - 4*i - i)*(i**2 + 1 - 1) + 4*i**3 - 7*i**3 - 12*i**3 - 9*i + 196 - 3*i + i**2 + i**3 - 199.
-13*i**3 + i**2 - 12*i - 3
Expand ((2 - 2 - 2*n)*(4*n**2 - 4*n**2 + n**2) + 13*n**3 + 54*n**2 - 54*n**2)*(-606 + 3*n + 609 - n - 3*n**2).
-33*n**5 + 22*n**4 + 33*n**3
Expand 5*r**3 - 3*r**3 + 0*r**3 + (0*r - 3*r + r)*(r**2 + r**2 + 0*r**2) - 1 + r**3 + 1 + 2 - 2 + 2*r**3 + 60*r**3 - 6*r + 94 - 20 - 74.
61*r**3 - 6*r
Expand (-2 - 2 + 3)*(-288*c + 3541*c + 2831*c).
-6084*c
Expand (l + 3*l**2 + 2*l**2 - l)*(31*l**2 - 415*l**2 + 3503*l**2).
15595*l**4
Expand (19*z + 67*z + 56*z + 192*z)*(-577 - 3*z + 577).
-1002*z**2
Expand (160*l + 1 - 30*l - 3)*(139 - 139 - 35*l).
-4550*l**2 + 70*l
Expand (-23 - 597*s + 45 - 8 - 15)*(-7*s**2 + 9*s - 9*s + (1 | {
"pile_set_name": "DM Mathematics"
} |
j - v - 10 = 0 for j.
3
Solve 2*w + 8 = 4*o, w + 2*o = -w - 2 for w.
-2
Solve 7 = -5*w - 3*l, 2*l + 15 = -w - 2*l for w.
1
Solve -2*m + 2*d - 16 = 0, -3*m - 2*m - 10 = 5*d for m.
-5
Solve -2*p = -3*k - 5, -2*k = 2*p - k - 1 for p.
1
Solve 0 = -3*f - 0*f - u - 10, -3*u = 3 for f.
-3
Solve 13*a - 10*a = 5*w - 13, -2*a + w - 4 = 0 for a.
-1
Solve -2*f - 23 = -3*h, -2*h + 2*f - 6 = 6*f for h.
5
Solve -4 = b - 2*q, 0*q = -4*b - q - 7 for b.
-2
Solve -5*o - 13*z = -16*z + 10, 9 = 4*o + z for o.
1
Solve 0 = -n - q - q + 6, -12 = -3*n - 3*q for n.
2
Solve 13*g = 8*g + 5*i - 5, 6 = -3*i for g.
-3
Solve 5*b = -7*s + 10*s + 37, -b + 3*s + 17 = 0 for b.
5
Solve 0 = 2*w + 5*p - 24, 4*w - 15 = -p - 3 for w.
2
Solve -5*b + 10*b - 25 = -2*h, 4*b - 20 = -h for b.
5
Solve -b - 14 = -3*k + 6*k, -4*k = -b + 14 for k.
-4
Solve 4*l - 2*u - 22 = 0, 0*u - u = -5*l + 20 for l.
3
Solve -a + 3*w = 3*a + 7, 0 = -3*a + 2*w - 5 for a.
-1
Solve 3*p = -4*u + 14, -2*u - 4*p - 4 = -6 for u.
5
Solve 5*x - 4*p - 32 = -9, 0 = -x + p + 5 for x.
3
Solve -4*x = -3*r - 26, 3*r + 2*r + 5 = -x for x.
5
Solve 2*u + 4*b + 4 = 0, 22 = 2*u - 7*u + 2*b for u.
-4
Solve 16 = -4*l + 3*j, 3*l + 6*j - 5 = 4*j for l.
-1
Solve 3*u = -3*x + 5 + 1, -5*x = -3*u - 26 for u.
-2
Solve -5*m - 20 = u, 0 = -2*m + 252*u - 249*u + 9 for m.
-3
Solve -8 = -v + f, -2*v = -0*v + f - 7 for v.
5
Solve -5*v = 2*i + 28, i = -6*v + 7*v for v.
-4
Solve -r = 4*l + 3 + 3, -2*l - 5*r - 12 = 0 for l.
-1
Solve 0 = -2*z + 3*t + 12, -4*z - 4*t - 10 = -14 for z.
3
Solve 2*q - 10 = -0*w + w, -q - 4 = 4*w for q.
4
Solve 8*f + l - 13 = 4*f, 2*f = l - 1 for f.
2
Solve -3*j = 8*o - 5*o + 9, -3*o = -5*j - 7 for j.
-2
Solve -4*o - 47*w = -51*w - 24, 3 = -4*o - 5*w for o.
3
Solve -v - 12 = 4*t, -12 = 5*v - 7*v + 4*t for v.
0
Solve 3*v + 9 + 7 = 4*k, -3*k = 3*v + 30 for k.
-2
Solve 0 = 3*g + 3*h - h - 5, -2*g + 2*h = 0 for g.
1
Solve 0 = 3*q - 3*h + 3, -3*q - q + 5*h = 5 for q.
0
Solve 2*b = 5*j + 22, -j - 4*b + 12 = -3*j for j.
-4
Solve -5*d + 0*d = -5*n + 25, 20 = -3*d + 4*n for d.
0
Solve 0 = -4*g - 5*h + 9 - 3, -4*g + h = 6 for g.
-1
Solve -3*k + 10 = -4*j - 3, 5*j - 4 = -3*k for k.
3
Solve j + 15 = 3*u - 5, 0 = 4*j - 2*u + 30 for j.
-5
Solve 5*w = -n + 7, n - 1 = -2*w - 0 for w.
2
Solve -2*d - 2*a - 176 = -178, -d = 4*a + 5 for d.
3
Solve 4*g + 4*p = 0, -2*p - 5 = 3*g - 4 for g.
-1
Solve 3*q = 4*h - 4, -6 = 2*q + 2 for h.
-2
Solve -4*d = 5*q + 13, 8*d = -3*q + 15*d + 11 for q.
-1
Solve 3*n + 11 = 4*n - 5*y, 3 = -5*n - 4*y for n.
1
Solve -14 = 3*t - 3*z - 2*z, -2*t = -z + 7 for t.
-3
Solve -k - 46 = 8*d, 8*d - 5*k - 15 = 5*d for d.
-5
Solve 2*d + 6 = 4*i, d - 7 = 2*d + 2*i for d.
-5
Solve 3*h = 3*i + 2*i - 17, -h - 4*i = 0 for h.
-4
Solve -c - 24 = 8*v, 2*v - 10*c + 6 = -7*c for v.
-3
Solve -17 = 65*m - 66*m + 4*o, -o = -2*m + 6 for m.
1
Solve 4*s + 4 = 3*s, -2*b + 5*s + 20 = 0 for b.
0
Solve -5*j = u - 17, 17 = -3*u - 3*j + 5*j for u.
-3
Solve j + 2*n - 19 = 0, -4*j + 4*n + 107 - 127 = 0 for j.
3
Solve 5*i = s + 15, 78*i - 77*i + 21 = 5*s for i.
4
Solve 5*n - 3*b = -3, -n = -b - 1 + 4 for n.
3
Solve -2*m - 5*q = -q - 10, -4*m + 20 = q for m.
5
Solve -3*c + 6 = -21*i + 19*i, 3 = -4*c - i for c.
0
Solve 5*h + j + j - 25 = 0, j - 11 = -2*h for h.
3
Solve 174*l + 10 = 2*a + 176*l, 0 = 2*a + l - 7 for a.
2
Solve 0 = 3*h + 3*r + 21, 4*r = 2*h + 2*r + 2 for h.
-4
Solve -4*s + 8 = 0, -2*y - 6 = -s - 2*s for y.
0
Solve -3*k + 3 = -3*v, -v = -4*k + v + 4 for k.
1
Solve 0 = -i + 3*v, -2*i - 13*v = -12*v + 7 for i.
-3
Solve 4*h - 2*z + 18 = 0, -2*h = -4*h - 5*z + 21 for h.
-2
Solve h + 5*k - 69 + 66 = 0, 0 = -5*k + 5 for h.
-2
Solve -4*z - 3*a + 17 = 0, -4*a + 1 = 2*z - 5*a for z.
2
Solve 0 = x - 4*k + 21, -4 = -x - 4*k + 7 for x.
-5
Solve -8*d + 7*d - 5 = h, 16 = -4*d for h.
-1
Solve -j - 2*j - 4*n - 11 = 0, j = 3*n + 18 for j.
3
Solve -5*k + 9*k + o + 14 = 0, 5*k = 3*o - 9 for k.
-3
Solve -d + 6 = 3*o, 4*o - d = d + 18 for o.
3
Solve -u - 16 = 5*p, -3*u + u - 2 = 0 for p.
-3
Solve -15 = 5*y, -y = 5*x + 9 + 14 for x.
-4
Solve 0 = -5*i + t + 12, 5*i + 8*t = 7*t + 18 for i.
3
Solve 15 = -5*y + 10*y - 4*h, 0 = 5*y + 5*h + 30 for y.
-1
Solve 0 = 3*u - 5*m - 25, 5*m + 7 + 18 = 2*u for u.
0
Solve -3*q - 7 = s, 4*q + s + 6 = 2*q for q.
-1
Solve 22*f - 5*z + 3 = 23*f, -3*f + z = -9 for f.
3
Solve 0 = 5*u + k - 147 + 138, 0 = -4*k - 4 for u.
2
Solve -3*l = 9, 4*o + 31 = -l - 4*l for o.
-4
Solve -b - 2 = -5*x - 31, 3*b - 2 = -2*x for b.
4
Solve -3*v - 5*y + 25 = -0*y, 4*v = 2*y - 10 for v.
0
Solve w - 5*x + 13 = 0, -w - 4 = -2*x - 0 for w.
2
Solve -3*g + 6*g - 2*s = 17, -2*g + 37 = -5*s for g.
1
Solve 5*s - 19 = 2*k, -s = -k + 2 - 7 for k.
-2
Solve 6*k - 3*k = 5*s + 6, 3*s = -4*k + 8 for k.
2
Solve -5*y - 4*b = -7*b + 40, -y - 4*b + 15 = 0 for y.
-5
Solve 0 = -k + l + 7, 2*k + 4*l = -0*l - 16 for k.
2
Solve q = 4*m + 11, 12 = -2*m - 4*q - 16 for m.
-4
Solve 3*n = 5*q - 4, 4*n + 2*q = -9 - 5 for n.
-3
Solve -3*t - 18 = 2*f + f, -2*t - 5*f = 27 for t.
-1
Solve -f = -m + 4, -45*m - 20 = 3*f - 50*m for f.
0
Solve 5*o = -5*x + 15, 2*o - 7*o + 3 = -x for o.
1
Solve -a - v = -4*v - 7, 0 = 3*a - 2*v + 7 for a.
-5
Solve 2*k - 5*k - 4*s - 5 = 0, 0 = -2*k - 3*s - 4 for k.
1
Solve 0 = -p - 2*c - 2, 56*p = 51*p + 3*c + 3 for p.
0
Solve 4*c = -5*s - 6, -2*s = -4*c - 18 - 2 for s.
2
Solve 3*n = -4*p - 13, 30*p + 3 = 27*p for n.
-3
Solve 4*z = 4*n + 8, -4*z - 2*n + 5 = -3*n for z.
1
Solve 6 = -w + 4, 3*b - 2*w = 13 for b.
3
Solve -w + 19 = -3*o, -7*o + 2*o - 45 = -5*w for o.
-5
Solve 4*p = 5*c + 4, 0 = 5*c - 0*p + p - 1 for c.
0
Solve -5*h + 10 = 0, -44*h = -5*j - 45*h - 18 for j.
-4
Solve -3*y = -3*a + 9, -5*a - 22 = 5*y - 47 for a.
4
Solve 0 = -3*g + m - 13, -5*g + 0*g + m = 19 for g.
-3
Solve -4*d + 23 = 421*q - 420*q, -5*q - d = 18 for q.
-5
Solve 2*q + 3*p = -q + 12, -4*q - 2*p = -6 for q.
-1
Solve 0 = 5*y + 4*o - 19, -3 = -y - o + 1 for y.
3
Solve -2*k - 13 = -3*k + 5*z, -3 = 3*k - z for k.
-2
Solve -10 = -o - 4*u, -3*o + o + 2 = -u for o.
2
Solve 2*p - p + 8 = -5*h, 6*p = 12 for h.
-2
Solve 0 = 5*s - 4*j - 40, 4*s + j = -3*j - 4 for s.
4
Solve -5*d = 5*k - 20, 2*k = -d + 6*k - 21 for d.
-1
Solve b + 11 = 2*b + 3*k, 5*k - 9 = -4*b for b.
-4
Solve 2*u + 22 = -4*t, u - 5*t - 11 = -2*u for u.
-3
Solve -8 = 4*m - 17*o + 14*o, 4*o = 0 for m.
-2
Solve 3*o = 4*r - 14 + 5, 0 = -4*r + o + 3 for r.
0
Solve c + 5 = 0, 6*x = 2*x + 5*c + 41 for x.
4
Solve 3*y + 4*s - 20 + 6 = 0, -2*y = -s - 2 for y.
2
Solve -2*r = -i + 1 + 6, -r = -2*i + 8 for i.
3
Solve 4*k - 2*n + 6 = 0, 2*k - 8 = -k - n for k.
1
Solve o + 2*o = -4*d - 16, -3*d - 12 = 0 for o.
0
Solve -3*u + 6 = -3*s, 2*s - 30*u = -32*u - 8 for s.
-3
Solve -6*u + 16 = -2*u + 2*p, 0 = 3*u - 3*p - 21 for u.
5
Solve -5*w + 3*q = -0*w - 40, 0 = -3*w - 2*q + 5 for w.
5
Solve 5*i - 5*l = 5, 2*i - 14 = 31*l - 35*l for i.
3
Solve 5*u + 4*k - 163 + 193 = 0, -10 = -5*u + 4*k for u.
-2
Solve 21 = -u + 2*s + 8, 5*s = -3*u + 5 for u.
-5
Solve f - j = -4, -2*f = j - 7 + 15 for f.
-4
Solve -5*y + 7 = 2*k, -y - 3*k = y + 6 for y.
3
Solve 4*d - 14 = r, -2*r = 2*d + 97 - 119 for r.
6
Solve 58*x = 3*g + 59*x - 9, 3*g = 5*x + 27 for g.
4
Solve 3*i + 0*i - 3*l = 0, 2*i + 7 = -5*l for i.
-1
Solve -5*t + 9 = 3*w - 2*w, 11 = 3*t + 2*w for t.
1
Solve -h + 4*t - 20 = h, -4*t = -16 for h.
-2
Solve -d = -4*j + 5, d + 3*j = -2*d - 15 for d.
-5
Solve -5*c + 2*n = -15, -c + 0*c + 5*n = -3 for c.
3
Solve 2*i - 8 = 4*o, -3*o - i - 4*i = -20 for o.
0
Solve -2*d = 27*z - 22*z - 1, 3 = 2*d + 3*z for d.
3
Solve -6*l - 3*s - 15 = -4*l, -l = -5*s - 25 for l.
0
Solve 0 = -3*s + 3*z - 12, s + 0*z = 2*z - 8 for s.
0
Solve u - 3*s + 5 = 10, 6 = -2*s for u.
-4
Solve 3*h - 2*o = 5*h - 4, -4*h + 3*o + 1 = 0 for h.
1
Solve -2*l - 12 + 6 = -3*m, l + m = -3 for l.
-3
Solve 0 = -2*j - i - 19 + 16, 5*i = 4*j - 1 for j.
-1
Solve 63*g - 59*g - 3*t = 2, -7 = -g + 4*t for g.
-1
Solve -3*f + f - 5*h + 6 = 0, 3*f - 9 = h for f.
3
Solve 0 = -2*j, 233*g - 2 = 234*g + 2*j for g.
-2
Solve 79*v + 3*i = 74*v - 3, 0 = -5*v + 4*i + 39 for v.
3
Solve 0 = -11*p + 8*p - 9, -2 = -4*i - 2*p for i.
2
Solve 6 = 8*p - 10*p - 2*h, 4*p - 2*h = 0 for p.
-1
Solve 5*o = -10, 4*b + 2*o = -14 + 2 for b.
-2
Solve 0 = -5*i - 10, -22 + 4 = -3*s + 3*i for s.
4
Solve 8 = 2*x + 4*d, -5*d + 0 = -4*x | {
"pile_set_name": "DM Mathematics"
} |
he highest common factor of 4617888 and 9504?
1056
Calculate the greatest common factor of 5984 and 17932552.
1496
What is the greatest common divisor of 329 and 3190278?
7
What is the greatest common divisor of 310430000 and 370?
370
Calculate the highest common factor of 42602360 and 60.
20
What is the highest common factor of 921433 and 8321?
157
What is the highest common divisor of 32 and 7685576?
8
Calculate the greatest common factor of 273098160 and 15136.
688
What is the greatest common divisor of 4788495 and 45?
45
Calculate the highest common divisor of 15755 and 337295.
115
Calculate the greatest common divisor of 14525397 and 5123.
47
What is the highest common divisor of 12298 and 62686?
26
Calculate the greatest common factor of 225480 and 14010.
30
What is the highest common divisor of 92571 and 583392?
177
Calculate the highest common divisor of 4712 and 3232158704.
4712
Calculate the highest common divisor of 132 and 5187768.
12
Calculate the highest common divisor of 5656 and 26663192.
808
Calculate the highest common factor of 144 and 862335.
9
Calculate the highest common divisor of 78633 and 1017.
9
What is the greatest common factor of 833049 and 107604?
441
Calculate the greatest common factor of 97180 and 487190.
430
Calculate the greatest common divisor of 2349574340 and 20.
20
What is the highest common divisor of 42833074 and 188?
94
Calculate the greatest common divisor of 303291 and 27963.
2151
What is the highest common divisor of 25680 and 123434130?
3210
What is the highest common factor of 5159 and 14995337?
469
Calculate the highest common factor of 83496 and 579999.
1491
What is the greatest common factor of 89696260 and 20?
20
Calculate the highest common divisor of 5094 and 3941624.
566
Calculate the highest common divisor of 51679566 and 3915.
783
Calculate the highest common divisor of 51 and 9779369.
17
What is the highest common factor of 1625746 and 6?
2
What is the greatest common factor of 101098753 and 112?
7
What is the highest common factor of 60933 and 60721338?
3207
Calculate the greatest common factor of 14702700 and 12900.
300
What is the highest common factor of 9818910 and 158?
158
Calculate the greatest common divisor of 8822 and 1152162.
22
Calculate the highest common divisor of 10 and 103416890.
10
What is the highest common divisor of 54220307 and 158?
79
What is the highest common divisor of 1240 and 185709592?
248
Calculate the greatest common divisor of 71158 and 637414.
94
Calculate the highest common divisor of 342016 and 334.
334
Calculate the greatest common divisor of 320 and 7889440.
160
What is the highest common factor of 138030668 and 380?
76
Calculate the greatest common divisor of 7098 and 328237.
91
What is the greatest common factor of 83007 and 3519?
207
Calculate the highest common divisor of 299655 and 180.
45
Calculate the greatest common factor of 19053539 and 11387.
193
What is the highest common factor of 236 and 384?
4
Calculate the highest common factor of 186667 and 4771.
13
What is the greatest common factor of 24012 and 16720704?
1044
Calculate the greatest common divisor of 4505 and 101316655.
265
Calculate the greatest common factor of 456964496 and 3184.
3184
What is the highest common divisor of 3016 and 4794947?
29
What is the greatest common divisor of 86281216 and 2688?
896
Calculate the highest common divisor of 4764095 and 47005.
2765
What is the greatest common divisor of 831 and 56123247?
831
Calculate the greatest common divisor of 59757341 and 3233.
53
Calculate the greatest common factor of 5586 and 78235654.
1862
Calculate the greatest common divisor of 28 and 1457736.
28
Calculate the highest common factor of 27451354 and 1442.
1442
Calculate the greatest common factor of 424407693 and 114.
57
Calculate the greatest common factor of 37243651 and 219.
73
What is the greatest common factor of 14168 and 106950?
46
Calculate the greatest common factor of 9744 and 109316.
4
What is the greatest common factor of 4464 and 6610068?
1116
What is the highest common factor of 2992920 and 1323?
147
What is the greatest common divisor of 71187 and 4042488?
1167
Calculate the greatest common factor of 81 and 70748802.
81
Calculate the greatest common divisor of 12784076 and 275404.
8884
Calculate the highest common factor of 1211532 and 504.
84
Calculate the greatest common factor of 31386624 and 1776.
48
Calculate the highest common factor of 742207 and 32881.
251
What is the greatest common factor of 58590 and 451610?
10
Calculate the greatest common factor of 2974509 and 14391.
1107
What is the highest common factor of 22900 and 55857680?
4580
Calculate the greatest common factor of 54708 and 34532.
388
What is the highest common factor of 15934 and 1503500?
62
Calculate the highest common factor of 5389 and 733380.
17
What is the greatest common factor of 51 and 565689?
3
What is the highest common factor of 21810612 and 222?
222
Calculate the greatest common factor of 68860 and 8834980.
220
What is the highest common divisor of 40256 and 15296984?
296
What is the highest common divisor of 19138302 and 6372?
3186
What is the greatest common factor of 12103 and 680953?
637
What is the greatest common factor of 574748207 and 33?
11
Calculate the highest common divisor of 18166 and 83270014.
586
What is the highest common factor of 16720 and 119382320?
1520
Calculate the greatest common divisor of 39469 and 195062603.
1361
Calculate the greatest common factor of 114644529 and 1241.
73
What is the highest common divisor of 234291 and 3183?
3
What is the highest common divisor of 2313 and 75749979?
771
What is the highest common factor of 185933 and 14201?
11
What is the highest common divisor of 1241060706 and 3156?
1578
Calculate the highest common divisor of 1437 and 45145271.
479
What is the highest common factor of 2332 and 81397877?
583
Calculate the highest common divisor of 23690 and 366045.
115
Calculate the highest common divisor of 48 and 5840067.
3
Calculate the highest common factor of 33356900 and 294400.
2300
Calculate the highest common divisor of 563112 and 2016.
72
Calculate the greatest common factor of 90193 and 4442675.
893
Calculate the highest common divisor of 71995306 and 8109.
901
Calculate the highest common divisor of 11095 and 1870617.
2219
Calculate the greatest common factor of 1289944 and 1135016.
3368
What is the highest common factor of 21199025 and 19825?
1525
Calculate the greatest common factor of 223933440 and 15774.
1434
Calculate the greatest common divisor of 505076 and 76.
4
Calculate the greatest common factor of 1242 and 124494354.
1242
Calculate the highest common factor of 59458 and 256053.
959
What is the greatest common factor of 187 and 21584013?
11
What is the highest common factor of 1305 and 663135?
15
What is the highest common divisor of 17854376 and 33128?
808
Calculate the highest common factor of 141673 and 212898.
259
Calculate the greatest common divisor of 24975011 and 1772.
443
What is the greatest common divisor of 3042 and 1644318?
234
Calculate the highest common factor of 156041532 and 8472.
4236
Calculate the greatest common factor of 5910763 and 306599.
3881
What is the greatest common factor of 239768 and 124270?
1462
What is the greatest common factor of 108720430 and 140?
70
What is the greatest common factor of 39650 and 13271648?
1586
What is the highest common divisor of 136 and 2409818?
34
Calculate the highest common divisor of 40296 and 10512.
1752
What is the greatest common factor of 335 and 1189535?
5
What is the highest common factor of 182001 and 201777?
309
What is the highest common factor of 9169680 and 104?
104
Calculate the highest common factor of 1452691422 and 27.
27
What is the greatest common divisor of 37534 and 6555045?
2681
What is the greatest common divisor of 49880 and 192260?
20
What is the highest common divisor of 58661288 and 952?
952
What is the highest common factor of 1914650 and 6578350?
7450
What is the highest common factor of 11013228 and 2277?
207
Calculate the greatest common factor of 1038 and 64212.
6
Calculate the highest common factor of 61084635 and 255.
15
Calculate the greatest common factor of 1954806 and 40278.
294
Calculate the greate | {
"pile_set_name": "DM Mathematics"
} |
8. Let u be r(-1). Find the first derivative of 49 + u*z + 73*z - 175*z + 35*z wrt z.
-37
Let s(a) = a**3 + 9936*a**2 - 56418. Let u(x) = 1420*x**2 - 8060. Let n(k) = -2*s(k) + 15*u(k). What is the first derivative of n(w) wrt w?
-6*w**2 + 2856*w
Let h(o) = o**3 + 2*o**2 - 10*o + 1. Let l(z) = -2658*z**3 + 2159*z**2 + 20*z - 2. Let c(d) = 2*h(d) + l(d). What is the third derivative of c(x) wrt x?
-15936
What is the first derivative of 123 - 5302*z - 563 + 4701*z - 5266*z wrt z?
-5867
Let t(q) be the second derivative of -2281*q**4/12 - 4298*q**2 - 591*q + 3. What is the first derivative of t(y) wrt y?
-4562*y
Suppose -9*o = -146 - 7. Differentiate -o*q**4 - 6*q**4 + 11*q**4 + 73 wrt q.
-48*q**3
Suppose -7*w + 13*w = 0. Suppose 0*g - 4*q = -4*g + 84, -5*g - 2*q + 105 = w. What is the second derivative of h**3 - 246*h + 227*h - g*h**3 wrt h?
-120*h
Let x(m) = -2*m**3 - 261. Let b = -343 + 339. Let y(c) = -6*c**3 - c**2 - 521. Let s(g) = b*y(g) + 9*x(g). Find the first derivative of s(f) wrt f.
18*f**2 + 8*f
Let y be 80/(-32)*(-24)/10. What is the third derivative of 11*c - 25*c + 11*c**2 + 2*c**6 - 4*c**4 - 12*c**y + 12*c wrt c?
-1200*c**3 - 96*c
Suppose 0 = 118*p - 166*p + 192. Let r(g) be the second derivative of 0*g**2 - 11/12*g**p - 1/2*g**3 + 8*g + 0. What is the second derivative of r(m) wrt m?
-22
Suppose 0*y + 19 = -2*m - 5*y, 3*m + 3*y = -6. Let t be ((-8)/(-12))/(4/18). Find the second derivative of 7*a + 8*a**t + 2*a**m + 6*a**3 wrt a.
96*a
Let l(n) = -n - 6. Let v be l(-6). Suppose v = 4*w - 6*w. Differentiate 14*c**4 + 26 + 11*c**4 + w*c**4 - 3*c**4 wrt c.
88*c**3
Let y = 10751 + -10748. Let z(l) be the third derivative of 0 + 29/6*l**y - 35/24*l**4 - 35*l**2 + 0*l. What is the first derivative of z(c) wrt c?
-35
Let n be -2*9/18 - 36*-2. Find the second derivative of 234*y**2 + 32*y - 84*y**2 - n*y wrt y.
300
Let s(a) be the first derivative of a - 67 + 3*a**5 + 1/3*a**3 + 39/2*a**2 + 0*a**4. Find the second derivative of s(b) wrt b.
180*b**2 + 2
Let w(c) be the second derivative of -24*c**2 - 2 + 0*c**3 + 1/12*c**4 + 2*c - 99/20*c**5. Find the third derivative of w(o) wrt o.
-594
Let i(u) = u**2. Let y(x) = -15*x**2 - 31*x + 616. Let s(h) = 8*i(h) + y(h). What is the derivative of s(w) wrt w?
-14*w - 31
Let c(i) be the first derivative of -1094*i**5/5 - 1440*i + 273. Differentiate c(p) wrt p.
-4376*p**3
Let t = 22 - 19. Find the third derivative of -5*x**4 - 1 - 5 - 5*x**2 + 3*x**t + 219*x - 219*x wrt x.
-120*x + 18
Let h(c) = 16846*c**3 - 34*c**2 - 1440*c + 19. Let i(v) = 3369*v**3 - 7*v**2 - 288*v + 4. Let g(b) = -4*h(b) + 19*i(b). Find the third derivative of g(j) wrt j.
-20238
Let x = 16 - 13. Find the first derivative of 4*k**3 + 92*k**3 - 12*k**3 - 44*k**x + 35 wrt k.
120*k**2
Let a be 1 + -1 + 12/2. Let b(n) be the first derivative of 10*n - a*n**2 + 3 + 0 - 10*n + n**5. Find the second derivative of b(i) wrt i.
60*i**2
Let n(b) = b**3 - b**2 + 5*b + 1. Let d(c) = 9*c**3 + 632*c**2 + 40*c + 1381. Let m(x) = d(x) - 8*n(x). Differentiate m(r) wrt r.
3*r**2 + 1280*r
Let n(g) be the second derivative of 0*g**4 + 0*g**2 + 3/20*g**5 - 25/6*g**3 + 41*g + 11/30*g**6 + 0. Find the second derivative of n(y) wrt y.
132*y**2 + 18*y
Let n(r) be the second derivative of 223*r**5/10 - 13*r**3/3 + 28*r**2 - 1154*r - 2. Find the second derivative of n(a) wrt a.
2676*a
Let t(s) = 1986*s**2 + 1160*s. Let i(m) = -3985*m**2 - 2320*m. Let r(y) = -3*i(y) - 7*t(y). What is the second derivative of r(k) wrt k?
-3894
Let j(c) = 23*c**2 - 629*c + 8. Suppose 3*m - 9*m = 18. Let w(h) = 8*h**2 - 210*h + 3. Let l(b) = m*j(b) + 8*w(b). What is the second derivative of l(a) wrt a?
-10
Let v(f) = 264*f**3 + 8*f**2 - 993*f - 62. Let k(z) = 132*z**3 + 4*z**2 - 496*z - 28. Let x(a) = -11*k(a) + 5*v(a). What is the second derivative of x(o) wrt o?
-792*o - 8
Let c(b) = 9*b**2 + 2*b. Let g(r) = -1417*r**2 - 12*r - 2282. Let t(n) = -6*c(n) - g(n). Differentiate t(j) with respect to j.
2726*j
Let t(r) be the first derivative of 290*r**4 + 257*r**3 + 1153. Find the third derivative of t(h) wrt h.
6960
Let i(x) = 9*x**2 - 6*x + 3. Let p be i(1). What is the third derivative of 2*c**2 + 45*c**2 - c**p + 26*c**2 + 3*c**5 wrt c?
-120*c**3 + 180*c**2
Let t(v) be the third derivative of v**6/120 + v**5/3 + 3*v**4/4 - 3*v**3/2 + 19*v**2. Let l be t(-19). Find the first derivative of -4 + 7 + l - 2 + 2*y wrt y.
2
Suppose 57 - 17 = 8*w. Suppose i - 33 = w*v, -23 + 0 = -i + 3*v. What is the second derivative of 3*j + 3*j**3 - i*j**3 - 17*j**3 wrt j?
-132*j
Suppose 4*o + 2*f + 74 = 0, 54 = -o - 3*o + 2*f. Let m be 8 + o/(1 - -3). What is the third derivative of 16*d**6 + 16*d**2 + 4*d**2 - m*d**2 wrt d?
1920*d**3
Let p(i) be the second derivative of 0*i**5 + 0*i**4 + 18*i**3 + 0 + 37/14*i**7 + 145*i + 0*i**2 + 0*i**6. Find the second derivative of p(u) wrt u.
2220*u**3
Let b(t) = 90*t + 16 + 157*t**2 + 101*t**2 - 80*t**2 - 42. Let d(g) = 20*g**2 + 10*g - 3. Let p(c) = 6*b(c) - 52*d(c). Find the second derivative of p(z) wrt z.
56
Let c(f) = -18*f + 1. Let m be (2 + -1)*1/(-4)*4. Let k be c(m). Find the second derivative of 5*w - 20*w + 14*w**2 + k*w**2 - 9*w**2 wrt w.
48
Let c(r) = -r**3 - 4*r**2 - r - 2. Let w(l) = 1714*l**4 + l**3 + 8*l**2 + 4*l - 603. Let p(y) = 2*c(y) + w(y). What is the second derivative of p(d) wrt d?
20568*d**2 - 6*d
Let z(j) be the third derivative of 3*j**7/7 - j**6/60 + 661*j**3/3 - 3*j**2 + 224*j. Find the first derivative of z(n) wrt n.
360*n**3 - 6*n**2
Let t(s) = -581*s + 617. Let i(n) = 22*n. Let g(k) = -i(k) + t(k). Differentiate g(o) wrt o.
-603
Let v be -1*6*-1*(-52)/6. Let p = v + 58. What is the derivative of p*h - 21*h + 4 + 2*h wrt h?
-13
Let w = 887 - 885. Find the second derivative of -219*n**5 + 7 + 124*n**2 - 124*n**w - n - 20 wrt n.
-4380*n**3
Let x(j) be the second derivative of 3*j**4/8 - j**3/6 - 31*j**2/2 - 11*j. Let h(n) be the first derivative of x(n). Find the first derivative of h(t) wrt t.
9
Let m(t) = 3*t - 7. Let i be m(3). Let h be -3*i/2 - -4. Differentiate -5*u**4 + 5*u**4 - 8*u**4 - h wrt u.
-32*u**3
Find the second derivative of 0*x**4 + 40 - 1 + 1888*x**2 - 1867*x**2 + x**3 + 39*x + 5*x**4 wrt x.
60*x**2 + 6*x + 42
Let j be 3296/12 + (-22)/33. What is the third derivative of 158 + j*u**2 - 74*u**2 + 46*u**5 - 158 wrt u?
2760*u**2
Differentiate 946*i**2 + 281 + 887 + 615 + 112 with respect to i.
1892*i
Find the second derivative of 295*q + 353*q - 48957*q**3 + 46650*q**3 - 10*q wrt q.
-13842*q
Let a(h) = -h**2 + 10*h - 19. Let s be a(7). Find the second derivative of -s*w**2 + 2*w**2 + 3580 - 3573 - 11*w**4 + 7*w wrt w.
-132*w**2
Find the second derivative of 2856*s**5 - 1711*s**4 - 5702*s**5 + 2845*s**5 + 3337*s wrt s.
-20*s**3 - 20532*s**2
Let l(w) = 1261*w**3 + 7*w**2 - 35*w + 41. Let s(n) = 1261*n**3 + 6*n**2 - 35*n + 36. Let y(p) = 6*l(p) - 7*s(p). Find the second derivative of y(j) wrt j.
-7566*j
Let p(o) be the second derivative of o**7/7 + 21*o**5/4 - 119*o**3/6 + 4*o**2 + 279*o - 2. What is the second derivative of p(d) wrt d?
120*d**3 + 630*d
Let v be 297/(-6)*(-3 + (-7)/(-3)). Suppose 5*r = v - 23. Find the third derivative of -6*a**6 + 5*a**6 + 11*a**6 + 17*a**r wrt a.
1200*a**3
Let y = -92 + 152. Let l = y + -54. What is the third derivative of -16*t**2 + 6*t**2 - 20*t**2 + 16*t**l wrt t?
1920*t**3
What is the derivative of 34729*z + 34720*z - 268 - 69470*z + 2*z**2 wrt z?
4*z - 21
Suppose -3*a + 33 = 4*q, -3*q + 2*a + 46 = -0*q. Suppose 0*b = -2*b + q. What is the first derivative of -b*w**2 + 9*w**2 + 1 + 16*w**2 wrt w?
38*w
Let r(n) be the third derivative of 5/14*n**7 + 0 + 1/30*n**5 + 0*n + 61*n**2 + 0*n**3 + 33/8*n**4 + 0*n**6. What is the second derivative of r(v) wrt v?
900*v**2 + 4
Let u(w) = -404*w**3 - 38*w**2 - 12*w. Let i(c) = -807*c**3 - 77*c**2 - 22*c. Let n(q) = 4*i(q) - 7*u(q). Find the third derivative of n(p) wrt p.
-2400
Let g = -119 - -162. Find the third derivative of 50*k - 4*k**3 + k**2 + 10*k**4 - 23*k + 9*k**3 + g*k + 26*k wrt k.
240*k + 30
Differentiate -73 - 2082748*x**3 - x**4 + 1183*x**2 - 2*x**4 + 2082748*x**3 wrt x.
-12*x**3 + 2366*x
Let z(n) = -414*n - 2295. Let k(w) = 138*w + 765. Let m(b) = -8*k(b) - 3*z(b). Differentiate m(t) wrt t.
138
Let m be 23 + -15 + 6 + 0. | {
"pile_set_name": "DM Mathematics"
} |
it of t?
6
Let i = 29 - -1. What is the tens digit of i?
3
Let r(q) = 5*q**3 + 5*q**2 - 88*q + 25. What is the hundreds digit of r(11)?
3
Let m(v) = -7*v**2 - 4*v + 4. Let d(h) = h**2 + h. Let x(t) = -t**2 + 14*t - 19. Let n be x(13). Let p(l) = n*d(l) - m(l). What is the tens digit of p(-4)?
2
What is the tens digit of 46/(-138) + (-3032)/(-6) + -1?
0
Let s(m) = m - 7. Let o be s(5). Let b be (-1250)/(-22) + o/(-11). Let x = -20 + b. What is the units digit of x?
7
Suppose -5*a - 4913 = -3*s, 15*s - 14*s = -5*a + 1671. What is the hundreds digit of s?
6
Let u be 3/(-12)*(-4)/1. Let m be 3 + u + 0 + -2. Suppose -m*c - 99 = -3*g - 5*c, 4*g - 3*c = 104. What is the tens digit of g?
2
Let k(z) = z**3 + 6*z**2 + 4*z - 4. Let m be k(-4). Suppose -m*n + 539 = -5*n. What is the units digit of n?
7
Suppose 11*u = -4369 + 11057. What is the hundreds digit of u?
6
Let u be 1/(-2) + 122/4. Let q = 14 - 10. Suppose q*h - u = h. What is the units digit of h?
0
Let j(z) = -z**2 + 9*z - 6. Let u be j(6). What is the units digit of (8/u)/((-4)/(-264))?
4
What is the tens digit of -2*92/16*(-6 - 32)?
3
Suppose -3*x - 2*a = -7243, -2968 = -2*x - a + 1859. What is the tens digit of x?
1
Let k = -129 - -113. Let j = 17 + k. What is the units digit of j?
1
Let k(q) = q**2 - 10*q - 7. Let x be k(10). What is the tens digit of (39/(-12))/(x/168)?
7
Suppose 8*n - 23382 = -10*n. What is the thousands digit of n?
1
Let a(q) = 3*q**2 + 11*q + 107. What is the hundreds digit of a(26)?
4
Let z(i) = 5*i**3 + 9*i**2 - 4*i - 23. What is the thousands digit of z(10)?
5
Suppose -2*c = -3*v + 17294, -20*v + 5782 = -19*v - 5*c. What is the thousands digit of v?
5
Suppose 3*i - 9 - 4 = -4*t, -i + 1 = -2*t. Suppose 264 + 0 = 3*h. Suppose -h = -i*y + 5. What is the tens digit of y?
3
Let i(x) = x**3 + 10*x**2 - 25*x - 8. Let p be i(-12). Suppose p*m = 7*m - 165. What is the units digit of m?
5
Let p(u) = 1 + 28 - 12*u + 32*u**2 - 14*u**2 - 17*u**2. What is the tens digit of p(18)?
3
Let n = 13 - 9. Suppose -s - 144 = -5*s - n*w, 0 = 5*w - 15. What is the units digit of s?
3
Suppose -11*o = -6*o - 175. Let v(n) = -n**2 + 2*n + 4. Let r be v(5). Let l = r + o. What is the units digit of l?
4
Suppose 6*v - 3778 - 782 = 0. What is the hundreds digit of v?
7
Let u = 1257 + -865. What is the units digit of u?
2
Let i = 22 + -20. Suppose -2*a - i*o + 142 = 3*o, a - 80 = 2*o. What is the units digit of a?
6
Let a(n) = 3*n**2 - 16*n + 3. Let d be a(8). Suppose z - d + 15 = 0. What is the units digit of z?
2
What is the tens digit of 6/(-21) - (161040/28)/(-5)?
5
Suppose 4*k - 2*k - 6 = 2*o, -9 = 3*o. Let q(b) = 4*b**2 - 3*b + 10 + 2*b + b**3 - 3*b**2. What is the tens digit of q(k)?
1
Let v = 18 + -14. Suppose 3*p - p - 9 = 3*x, -p = -5*x - 8. Suppose v*s = p*s + 28. What is the units digit of s?
8
Let g = -2847 + 4855. What is the thousands digit of g?
2
Let q = -1686 + 3525. What is the units digit of q?
9
Suppose -y - 9 = -z + 4*y, 0 = 2*z - 4*y - 42. Let h = -6 + z. Suppose m - h = -3*m + j, m + j = 2. What is the units digit of m?
5
Let c(k) = 122*k - 440. What is the units digit of c(25)?
0
Suppose -6*i - 8 + 26 = 0. Suppose -l + 45 = i*p + 2*p, -3*p = 0. What is the units digit of l?
5
Let w = 7 - 7. Suppose w*r - 14 = -3*x - 5*r, x - 8 = -5*r. Suppose -m - x*m = 4*c - 80, 0 = -2*c + m + 31. What is the tens digit of c?
1
Let x be ((0 - -3) + -2)/((-2)/(-22)). Suppose 0*h - x*h = -1353. What is the units digit of h?
3
Let a(d) = 14*d - 82. What is the hundreds digit of a(14)?
1
Let z be 3 - (-1 - -2) - -1. Suppose -h - 3*h - 200 = 5*u, -5*u = -z*h + 165. What is the tens digit of u*(1 - (-6)/(-4))?
1
Let u = -41 - -218. What is the hundreds digit of u?
1
Suppose 0 = 14*t - 17*t + 3*n + 882, 4*n = t - 300. What is the hundreds digit of t?
2
Let p = 5691 - 2812. What is the units digit of p?
9
Let b(m) = 78*m - 77*m + 52*m**2 + 2 - 1. What is the units digit of b(-1)?
2
Suppose 143733 + 132774 = 77*b. What is the units digit of b?
1
What is the tens digit of (-172)/20*(-24 + -11)?
0
Suppose -5*t + 15 = 2*z, -5*z + 4*t + t = -125. Let k be (58/4)/(10/z). Let u = 1 + k. What is the units digit of u?
0
Suppose -g + 3*r = 2*g + 21, 2 = -2*r. Let m = -17 - g. What is the tens digit of (-290)/(-9) + 2/m?
3
Let z(b) = -b. Let g be z(2). Suppose 3*a - 10 = 4*a. Let q = g - a. What is the units digit of q?
8
Suppose 4*h = 3*h + 26. What is the units digit of 2656/h + 8/(-52)?
2
Let g be (-187)/5 - (-3 - (-39)/15). Let u = g - -88. What is the tens digit of u?
5
Let a = 35 - 38. What is the tens digit of (-1)/a - 820/(-15)?
5
Let o(z) = -45*z**3 + 3*z**2 - z - 4. What is the hundreds digit of o(-2)?
3
Let w(q) = 6*q**2 - 5*q - 2. Let m be w(-6). Let b = -111 + m. What is the tens digit of b?
3
Suppose -f = -2*w - 3 - 10, -6 = 3*f + 3*w. What is the tens digit of (f - 1)*435/30?
2
Suppose -3*u - 4*k = -1103, -u + 4*k + 340 = -49. What is the tens digit of u?
7
Suppose 5*d = 3*j + 4915, 12*d - j - 2949 = 9*d. What is the tens digit of d?
8
Suppose a - 180 = -5*a. Suppose 0 = c - 71 + a. What is the tens digit of c?
4
Let u(n) = -n**2 - 4*n + 33. Let y be u(-8). Suppose 3*s + y = 871. What is the tens digit of s?
9
Let h = -15 + 15. Suppose 3*l + 86 - 374 = h. What is the tens digit of l?
9
Let p = 195 + 543. What is the hundreds digit of p?
7
Suppose 126 = 2*q - 658. Let k = q + -262. What is the hundreds digit of k?
1
Suppose -2*o - 14364 = 7*b - 11*b, -b + 3592 = -o. What is the thousands digit of b?
3
Let c(h) be the third derivative of h**6/120 - h**5/60 + h**4/24 - 2*h**3/3 + 3*h**2. What is the tens digit of c(3)?
1
Suppose 0 = -3*v - p + 10395, 11*p - 8*p - 9 = 0. What is the tens digit of v?
6
Suppose -5*m - 2*k + 183 = 0, -2*m + 3*k + 46 + 31 = 0. Let h be (4/6)/((-6)/135). Let y = m + h. What is the units digit of y?
2
Suppose 3*p + 15 = 0, 0 = 8*q - 3*q + 5*p - 2045. Suppose q = -g + 7*g. What is the units digit of g?
9
Let c = 20 + -18. Suppose n + f - 1 = 0, 1 = -5*n + c*f + 27. Suppose n*w - 28 = 68. What is the units digit of w?
4
Let w(v) = v**2 + 10*v + 21. Let x be w(-8). Suppose 65 = x*r + 2*m, 0 = 2*r + 3*r - 2*m - 65. What is the units digit of r?
3
Suppose 15*c + 75 = -0. Let j(z) = z**2 + 9*z + 50. What is the tens digit of j(c)?
3
Suppose 55*y = 37*y + 85896. What is the hundreds digit of y?
7
Let w be 6*(5 + 0 + -3)/1. Suppose 4*i - 5*a = 8*i - 120, 0 = -3*a + w. What is the units digit of i?
5
Let v(y) = -9*y**3 - 2*y**2 + 2*y. Let g be v(2). Let f = 118 + g. What is the tens digit of f*(-5 + 3)/(-2)?
4
Suppose 0 = -g - 2*r + 430, -g - 2*r = -3*g + 890. What is the tens digit of g?
4
Let t be ((-6)/(-9))/(-1)*-54. Let i = t + -21. What is the tens digit of (10/i)/((-3)/(-99))?
2
Let d(n) = -n**3 - 11*n**2 - 5*n - 13. Let k be 0/(-3) + 1 + -12. What is the tens digit of d(k)?
4
Let q be 2/(-1)*(12 - 103). Let k = q + -86. What is the tens digit of k?
9
Let i(b) = 2*b + 10. Let h be i(-6). Let g be h + -1 - (3 - 15). Let u = 18 - g. What is the units digit of u?
9
Let i be 80/10*(-2)/(-4). Suppose 11 = -i*u + 3. What is the units digit of (-5744)/(-120) + u/(-15)?
8
Let i = 279 - 148. Let p = i + -14. What is the tens digit of p?
1
Let y(h) be the first derivative of 17*h**3/3 - h**2/2 - 3. What is the tens digit of y(1)?
1
Let q(d) = -d**3 + 30*d**2 + 17*d - 84. What is the units digit of q(30)?
6
Suppose -11*u + 3*u + 2008 = 0. What is the tens digit of u?
5
Let o(k) = 22*k**2 + 8*k - 35. What is the units digit of o(-11)?
9
Let z be -2 - (3 - -89)/(-2). Suppose -4*p - 5*o = -z, -2*p - o + 3 = -13. What is the units digit of p?
6
Let i(c) = 20*c**2 - 31*c + 5. What is the units digit of i(-3)?
8
Let v(y) = 8*y**2 - 8*y + 4. Suppose 4*t + 3 = -2*l + 21, 4*l = t + 9. What is the tens digit of v(t)?
5
Let q be (-16)/(-6) - (-1)/3. Suppose q*n - 470 = 265. Suppose 0*b = -5*b + n. What is the tens digit of b?
4
Suppose 5*r - 29874 + 8772 = -2*z, 3*z + 12678 = 3*r. What is the units digit of r?
2
Let m(s) = 9*s - 2*s - 8 + 3 + 1. What is the tens digit of m(2)?
1
What is the hundreds digit of (-9)/((-27)/2) + 2600/15?
1
Let d(t) = 7*t**2 + 6. Let i be d(3). What is the units digit of 8 + -5 + i + -1?
1
Suppose 2*x + 18 = 24. Suppose 0 = -5*w + 3*i + 1404, 6 = -3*i - x. Wha | {
"pile_set_name": "DM Mathematics"
} |
11. Let b(w) = -w**2 - 2*w + 42. Let v be b(6). Give c(v).
-11
Let q = -2 - -3. Let g(r) be the third derivative of r**5/30 - r**4/12 + r**3/6 - 55015*r**2. Calculate g(q).
1
Let h(o) = 23*o - 64*o + 8 + 28*o + 17*o. Give h(3).
20
Let j = 38 - 36. Let m(x) = -34*x**j + 2 + 27*x**2 + 1 - 2*x. Let n(g) = -1. Let u(q) = -m(q) - 2*n(q). Calculate u(1).
8
Let z = 497 + -492. Let a(u) = -z*u - u - u - u**2 + 6*u**3 + 6*u. Calculate a(-1).
-6
Let v = -24 - -31. Let m = -3 + v. Let o(b) = -b + 0*b - 3 - 5*b + 2*b - b**3 + 5*b**2. What is o(m)?
-3
Let f(y) = y**2 + y + 7. Suppose 11*n - 1350 = -2*d + 10*n, 5*d = -n + 3369. Let w = d - 676. What is f(w)?
13
Let f be (-66)/10 + -6 + (-2)/5. Let q(p) = -443 + 0*p**2 + 448 - 7*p - 5*p - p**2. Calculate q(f).
-8
Let r(f) = -6*f + 128. Let c = 2827 - 2806. Give r(c).
2
Suppose 13*g - 407 = -394. Let p(j) = j**3 - 2*j**2 + j. Calculate p(g).
0
Let y(z) = -z**3 + 9*z**2 - 6*z - 12. Let x = -4827 + 4835. Give y(x).
4
Let o(r) = -2*r - 508. Let i(y) = 2*y + 403. Let q(b) = -5*i(b) - 4*o(b). What is q(12)?
-7
Let s be (8/1)/2 - 29. Let t = -30 - s. Let u(g) = -2 - g + 4 - g**3 - 6 - 5*g**2. What is u(t)?
1
Let n(o) be the third derivative of -5*o**4/12 - 17*o**3/6 + 586*o**2. Determine n(5).
-67
Let v(j) = -j**3 + 5*j**2 - 2*j + 1. Let i be v(3). Let s(n) = 5*n**2 + 2*n**2 - n**3 + 0*n**2 - 11*n - 18 + n**2 + 6*n**2 + 0*n**3. What is s(i)?
8
Suppose 0 = 2*m + 3*m - 3*n - 2, 16 = -2*m - 3*n. Let g be (-5 + 7)*(7/m + 3). Let z(s) = 3*s**3 - s**2. Give z(g).
-4
Let v(o) be the third derivative of -o**5/20 + o**4/8 + o**3/6 + o**2. Let c = 120 - 100. Suppose -6*p + 2*p - c = 2*q, 4*q = 5*p + 12. Give v(q).
-17
Suppose 1173*a + 64 = 1181*a. Suppose 3*i = a + 34. Let b(p) = -p**3 + 15*p**2 - 14*p + 4. Determine b(i).
4
Let q(d) = -19*d - 24. Let t be ((-156)/(-16) + 60/(-6))*4. Calculate q(t).
-5
Suppose 16 = 2*v - 4*s, 4*s - 63 + 87 = -2*v. Let z(j) = -j**2 - 5*j - 7. What is z(v)?
-1
Let l be (630/(-270))/((-1)/(-3)). Let g(j) = 6*j - 16. Determine g(l).
-58
Let o(d) = -5*d + 139. Let j be o(24). Let v be 0 - j - (-18 - -13). Let x(t) = -t**2 - 14*t + 3. Give x(v).
3
Let d(x) = -66*x**3 + 6*x + 8*x**2 + 156 - 305 + 151 - 5*x**2 - 24*x**3. Calculate d(-1).
89
Let b(x) = -7*x. Suppose -929 - 1199 = -16*z. Let v = 134 - z. What is b(v)?
-7
Suppose -614*o + 622*o = -24. Suppose -3*j + 2 = -1. Let g(m) = -j - 1 - 17*m + 13*m. Calculate g(o).
10
Let w(f) = 2*f**2 - 14*f + 26. Suppose -4 = 4*a, -4*a = -5*b + 201 - 172. Give w(b).
6
Let a(i) be the second derivative of i**5/60 + i**4/24 - 25*i**3/6 + 21*i**2/2 + 42*i. Let v(j) be the first derivative of a(j). Calculate v(-6).
5
Let r(g) be the first derivative of g**4/4 - 5*g**3/3 + 2*g**2 - 12*g + 780. Let t be (-110)/(-10) - (0 - -6). What is r(t)?
8
Let o(n) = -n**3 - 10*n**2 - 19*n - 21. Suppose -11*j + 7*j = -3*w + 32, 0 = 5*w. Calculate o(j).
3
Let k(n) = -n**3 + n**2 + 6. Suppose -16 - 17 = -11*u. Suppose 0 = -2*z - z - u*z. Determine k(z).
6
Let i(t) be the second derivative of -t**4/12 - 8*t**3/3 + 45*t**2/2 + 933*t. What is i(-19)?
-12
Let t(n) = n**3 - 4*n**2 - 7*n + 1. Let y = 3588 - 3536. Let k be (2 - -45)*2/(-2). Let v = y + k. Determine t(v).
-9
Let f(c) = -3*c**2. Let q be (125/10)/((-2)/(-4)). Let u = q - 25. Let a be u + 2/8 - 10/8. Determine f(a).
-3
Suppose 5*i = 7*i, -5*t = -2*i - 25. Let d(h) = -h**3 + 8*h**2 - 16*h - 1. Give d(t).
-6
Let r = -46 - -48. Let x be (0 + r/(-4))/(10/(-20)). Let g(q) = -q**2 - 7*q + 7. Let j(c) = c**2 + 15*c - 15. Let y(i) = 13*g(i) + 6*j(i). Determine y(x).
-7
Let m = -5 + 3. Let p be (3/3 - m) + -1. Let a(d) = -4*d + 8. Let k(l) = -11*l + 22. Let n(t) = -8*a(t) + 3*k(t). Determine n(p).
0
Let t be 4/14 + 0 + (-549)/(-63). Let u(d) = 2 + t + 14*d - 15*d. Calculate u(6).
5
Let h(a) be the second derivative of 1/3*a**3 + 3*a**2 + 131*a + 2. Determine h(-4).
-2
Let t = 15 - 12. Let h(q) = -758*q + 5 - 3 - 762*q + 1516*q. Calculate h(t).
-10
Let c = -233 - -235. Let k(z) = 2*z - 3 - 7*z + c*z + 1 + 1. Let g = 6 - 2. What is k(g)?
-13
Let n = -15707 - -15708. Let m(o) = 21*o - 14. Calculate m(n).
7
Let s = 1013 + -1018. Let k(r) = -25*r**2 + 20*r + 3. Let a(f) = 12*f**2 - 8*f - 1. Let d(u) = s*a(u) - 2*k(u). What is d(-1)?
-11
Let x(i) = 2*i + 569 - 1143 + 566. Determine x(10).
12
Let n(v) be the second derivative of 1/120*v**5 + 0 + v + 0*v**2 - 1/3*v**4 - 13/6*v**3. Let h(s) be the second derivative of n(s). Determine h(10).
2
Let n(s) = -2*s**3 + 2*s**3 + 3*s**2 - 8 + 7 + s**3 - 2*s. Suppose 3*g + 9 = x, 20 = -5*g - 5*x - 15. Give n(g).
-9
Suppose 0 = -r + 34 + 3. Suppose 41 = m + 2*p, p - 178 = -m - 4*m. Let f = m - r. Let w(v) = 3*v + 2. Determine w(f).
-4
Let h = 2792 + -2787. Let r(d) = 4*d**2 + 10*d. Let j(b) = b**2 + b - 1. Let u(y) = 5*j(y) - r(y). What is u(h)?
-5
Let l(r) = 29*r**2 - 34*r**2 + 0 + 0. Let y be 4/(-20) + 0 - 93/(-15). Let v(c) = -c**2 + 5*c + 5. Let i be v(y). What is l(i)?
-5
Suppose -3*q + 2*q - 10 = 0. Let l(a) = 37*a - 116. Let i be l(3). Let p(u) = 11*u - 10. Let y(b) = -2*b + 4. Let d(m) = i*y(m) - p(m). Calculate d(q).
0
Suppose -5*z = -5*g - 5, -2*g + 1183*z = 1185*z + 2. Let y(h) be the first derivative of 2*h**3 - h**2 - 2*h + 7. Calculate y(g).
6
Let r(l) = 6*l - 1391 - 3*l**2 + 30*l - 8*l + 1408. Determine r(9).
26
Let o be (-244)/(-28) + 18/63. Let j(v) = 945*v**2 - 946*v**2 + o*v + v + 7. Calculate j(11).
-4
Let z(b) = 32*b - 1. Let c(f) = -805*f + 20. Let y(q) = c(q) + 25*z(q). Suppose g = 4*g + 12. Give y(g).
15
Let o = -372 - -379. Let c(j) = -344*j + 346*j + j**2 + 3 - j**3 + 6*j**2. Determine c(o).
17
Let i(a) = -12*a + 122. Suppose 147*z = 2*o + 146*z - 21, 3*o - 2*z = 31. Give i(o).
-10
Let q(b) be the third derivative of -b**8/6720 + b**7/360 - b**6/90 - b**5/60 - 37*b**4/12 - 19*b**2. Let s(i) be the second derivative of q(i). Calculate s(6).
-14
Let k(j) = -8*j**2 - 4*j + 3. Let l(n) = -4*n**2 - n + 3. Let s(y) = -k(y) + l(y). Determine s(-3).
27
Let p(i) be the first derivative of i**2 + 10*i + 36874. Let u be ((-27)/(-3))/(1*-1). Give p(u).
-8
Let l(r) = -r - 29. Let f = -5189 + 5168. Calculate l(f).
-8
Let i(l) = -l**3 + 28*l**2 + 28*l + 35. Let s be i(29). Let t be (-67)/5 - s/(-45)*3. Let y(w) = w + 15. Determine y(t).
2
Suppose 127*h - 129*h + 4 = 0. Let z(s) be the third derivative of 1/120*s**6 + 0 + 0*s + 1/60*s**5 + 2*s**h - 1/6*s**3 - 1/6*s**4. What is z(3)?
23
Let m = 6001 + -360059/60. Let p(i) be the third derivative of 0*i - 17*i**2 - m*i**5 + 0 - 3/2*i**3 + 0*i**4. Give p(0).
-9
Suppose 0 = 2*m - 0*u + 4*u - 18, m = 2*u + 9. Let s = m - 5. Let v(g) = 10605*g + 68*g**2 - g**3 + 2 - 65*g**2 - 10603*g. Give v(s).
-6
Suppose 19*a - 4*a = -3*a + 18. Let v(r) = -5*r**2 + 2*r - 1. What is v(a)?
-4
Let o = 14400 - 14404. Let m(b) = 4*b - 4*b + 2*b + 3. Calculate m(o).
-5
Let g(p) = -2*p - 6. Suppose 4*i + 63 = 3*n, 2*n = 3*i + n + 41. Let z be 1*(-3 - 4)*i/21. Suppose z*r + r = -25. Determine g(r).
4
Let v(f) = 0*f + 79 + 5*f - 5*f**3 - f**3 - 3*f**2 - 77 + 2*f**3. Give v(-3).
68
Let u(a) = 35*a + 206. Suppose 5043*w - 5057*w = 84. Calculate u(w).
-4
Suppose -1 = 3*r - 5*v - 33, 5*r - 41 = -4*v. Let d be r/27*30*(-2)/4. Let g(a) = -4*a**2 + 1 + 4*a - a**3 - 2 + 0*a**2. What is g(d)?
4
Suppose 0 = -18*t + 186 - 204. Let r(g) = -14*g**2 - 16*g + 2. Give r(t).
4
Suppose 3*r + r - 16 = 0. Suppose 0 = 11*g - r*g - 14. Suppose 17 = 5*u - 4*o, -g*o - 4 = 5*u + o. Let q(n) = 5*n**2 + n - 1. Determine q(u).
5
Let f(k) = k**2 - 14*k - 3. Let m = 887 + -876. Calculate f(m).
-36
Let a = 110 - 96. Suppose 0 = -q + 2, -2*q + 0*q + a = 2*i. Let g(t) = -7*t - 1. Let h(y) = -y. Let n(v) = -g(v) + 5*h(v). What is n(i)?
11
Suppose -4*g + 2*z = -30, 3*z = 2*g + 4*z - 13. Let a(j) = -j**3 + 4*j + 6*j**2 - g*j**2 - 2*j**2 + 0*j**2 - 5. What is a(-5)?
25
Suppose 3*j - 6 = 4*s, 4*s = 16 - 4. Suppose j = 4*o - 2. Suppose 0 = -o*k + 4*k - 12. Let d(p) = p**2 - 5*p - 5. What is d(k)?
1
Let s(n) = -8086*n + 8 - 16 + 8087*n + 13. What is s(-11)?
-6
Let h(q) = 11*q - 171. Let v(s) = 57*s + 3892. Let a be v(-68). Calculate h(a).
5
Let t(f) = -f**3 + 5*f**2 + 12*f + 134. Let z(u) = -21. Let x(r) = t(r) + 6*z(r). Calculate x(7).
-6
Let w(c) = -c**2 - c + 9. Let l(m) = m**2 + 3*m - 21. Let j(v) = | {
"pile_set_name": "DM Mathematics"
} |
*2 + 1. Let l be f(4). Let v = 370 + -361. Let i be (-1)/((-606)/(-12) - v). Is i less than l?
True
Let z = 262.6 + -282. Let a = -113.4 - z. Which is bigger: a or -1?
-1
Suppose 16 + 54 = -5*f. Let r be 17 + 1815/(-105) - 270/f. Which is greater: r or 14?
r
Let p = 128390/231 - 1666/3. Which is bigger: p or -1?
p
Let i = 4 + 6. Let o be (0 - 3 - -5) + 0 + -1. Let d = i - o. Which is smaller: d or 12?
d
Let c = -344 - -358. Let g = -13.9 + c. Let u = -98 - -63. Which is smaller: g or u?
u
Suppose 0 = 4*p - 765 - 55. Suppose 4*r + 38*b - 43*b = 840, -5*r + 4*b = -1041. Is p not equal to r?
False
Let m(z) be the second derivative of -z**4/6 + 2*z**3/3 + 3*z**2 + 11*z. Let i be m(11). Let t be (-2)/(-12) + 296/i. Is t bigger than -1?
False
Suppose 36*k = 34*k - 294. Let q be (2/(-6))/(49/k). Are -3/71 and q unequal?
True
Suppose 3*o + 3720 = 15*o. Let w = -310 + o. Which is greater: -3/5 or w?
w
Suppose 5*y - 48 = -3*y. Suppose 18 = -24*q - y. Is q not equal to 13/30?
True
Let d = -245 + 252. Let q be (-65 - d)/6 - 5. Which is greater: q or -18?
q
Let t = 126 - 73. Let x = 40 - t. Let z be ((-9)/52)/((117/(-6))/x). Which is smaller: -1 or z?
-1
Suppose 3*n + 5*w - 107 = 0, -4*n = 7*w - 3*w - 132. Suppose 0 = -3*h - 26 + n. Let u be -3*h + (6 - (24 + -5)). Does u = -16?
True
Suppose 22 = -3*z - 3*u + 19, 0 = -4*z + 4*u + 28. Let b be 2/12 + (-41)/(-24) + 0. Is z > b?
True
Let s = -167 + 541. Let j = s + -208. Let n = 166.93 - j. Which is greater: -1 or n?
n
Let d be 1 - ((-8)/(-4) - -3). Let b be d + -2 + -2 + -47. Which is greater: 0 or b?
0
Let b = -863 - -620. Is -1953/8 <= b?
True
Let f be 2122/9 - (5 - (-188)/(-36)). Let o = -191 + f. Which is smaller: 46 or o?
o
Let j(r) = 19306*r - 30. Let c be j(-2). Let y = c + 55605840/1439. Are 1 and y equal?
False
Let m = -1413.09 - -1412.7. Is m smaller than -3/5?
False
Let p = -2 - -1. Let r = -56 + 54. Let q be (2*r/1420)/((-2)/10). Which is smaller: q or p?
p
Suppose -p - 132 = 5*n + 3*p, 0 = -4*n - 5*p - 111. Let c = 48 + n. Let r = c + -23. Which is smaller: -2/61 or r?
-2/61
Suppose 4*y + 3*i - 143 = 0, 6*y - 7*y + 5*i = -30. Suppose o + 282 + y = 0. Which is bigger: o or -316?
-316
Suppose 3*x = 3*o + 63, -16*x = -11*x - 2*o - 108. Let h be 13/(-2 - 20/(-8)). Is h > x?
True
Let n be (0 - 161) + 247 + -240 + (-5)/1. Is n smaller than -1424/9?
True
Suppose -5*w + 5*h = -34895, -4*w + 5620 = 5*h - 22251. Is w at most as big as 6974?
True
Let u = -6.02 + 5.03. Let j = -0.01 + u. Which is greater: 18.6 or j?
18.6
Suppose 5*u = 13*u + 1936. Let q = u + 210. Suppose b = -25 - 8. Which is greater: q or b?
q
Let w = 2747 + 282. Suppose 0 = 6*x - w + 779. Is x equal to 376?
False
Let g = 25.8533 + 0.1467. Is g at most as big as -52?
False
Suppose 4 = -5*q - 1. Let u = 251 + -971. Let r be 1 - -6 - u/(-99). Is r bigger than q?
True
Suppose 642 + 158 = 4*f. Let g be 5 + f/(-55) - 1. Let r be (-7)/14*(0 - 0). Which is bigger: g or r?
g
Let q(z) = 75*z - 138. Let p(v) = v - 1. Let b(o) = p(o) + q(o). Let j be b(2). Which is smaller: 13/2 or j?
13/2
Let w = -2.1 + -15. Let m = 21.1 + w. Which is smaller: -0.11 or m?
-0.11
Let u = -86 - -71. Let k = -13 - u. Let m = k - 2. Is -1/2 bigger than m?
False
Let y(s) be the third derivative of s**4/8 - 10*s**3/3 + 52*s**2. Let n be y(7). Which is smaller: n or 4/101?
4/101
Let f = 9 - 31. Let s = 47 + f. Let c = s + -21. Which is bigger: -1 or c?
c
Let h = -3258.69 - -3259. Is h greater than -0.014?
True
Suppose 5364 = -0*u - 18*u. Let s = -252 - u. Are s and 46 equal?
True
Suppose 584 = 27*h - 30*h - 4*z, 0 = -5*h - z - 945. Which is bigger: -177 or h?
-177
Let b = -372.49 + 303.461. Let x = b + 69. Let i be (-16)/(304/57)*(-2)/(-24). Is i bigger than x?
False
Let l(j) = j**2 + 9*j + 15. Let w be l(-7). Suppose -w = -5*a - 26. Which is greater: 3 or a?
3
Suppose 5*b + 4*t - 2141 = 2*b, 4*t + 703 = b. Suppose 0 = -97*q + 88*q - b. Are -76 and q nonequal?
True
Let d = -32097 + 135385147/4218. Which is greater: 0 or d?
d
Let r(c) = c + 2. Let s(f) = f + 20. Let a(g) = -14*r(g) - 2*s(g). Let q be a(-5). Is 53/5 greater than q?
False
Let x = -197/52 + 15/4. Let j = 26 + -26. Does x = j?
False
Let f = 146 + -179. Let x = f + 69. Is 0.1 less than x?
True
Let m(z) = 13*z - 25. Suppose -719 + 729 = -5*f. Let a be m(f). Is a smaller than -51?
False
Let s = 929 + -7423/8. Let y = -11/24 + s. Suppose 0 = -4*h + 7*h - 6. Which is bigger: h or y?
h
Suppose 0 = 81*s - 330179 - 284679 - 357142. Which is smaller: s or 11998?
11998
Suppose 23*b - 19*b = 424. Suppose 5*k + 193 = 4*m, 5*m + b = -2*k + 9. Which is smaller: -40 or k?
k
Suppose -152 = -4*k + 4*g, -5*k + 12*g + 205 = 10*g. Is k greater than or equal to 54?
False
Let b = -141 - -140.901. Let q = -0.13 - b. Let d = q + -9.969. Do 0.3 and d have different values?
True
Let g(m) = m**2 - 9*m - 4. Let k be g(-6). Let y = k - 86. Let d be y/(-2) - 1*(-4 + 3). Which is bigger: 2/71 or d?
d
Let b = 2 - 2. Suppose -2*w - 5*w = w. Suppose w = -5*i, -4*i = 3*l - 11 - 4. Does b = l?
False
Suppose -r = -2*k - 15, 2*r - 9 = -r. Let h be 4/k + 10/(-3) + -1. Suppose -4*t = -2*t + 12. Which is bigger: t or h?
h
Let d(p) = p**3 - 13*p**2 + p - 1. Let j be d(13). Let m(o) = -j*o - 12*o + 25*o + 8. Let h be m(10). Is h at least as big as 17?
True
Let j = -34/7 - -524/105. Let z = 161.1 - 177. Let g = z - -16.3. Which is greater: j or g?
g
Suppose v + 4*w = 332, 646 + 315 = 3*v + 5*w. Suppose v = -7*s + 13*s. Let g = -53 + s. Is -16/11 < g?
True
Let a = -550.6 - -1012. Let b = 461 - a. Is b <= 1?
True
Let a(m) = 4*m + 6 + 4 + 0 - 6*m. Let d be a(0). Let o = -23 + 31. Is d <= o?
False
Let p = -0.0597 + 25.9597. Let u = -26.2 + p. Which is smaller: u or 33?
u
Let n = 193.0458 - 0.0458. Let s = n + -264. Which is greater: 3 or s?
3
Suppose -1868 + 5123 = -4*m + 5*q, -4*m - 3261 = q. Let k = 813 + m. Is -11/3 != k?
True
Let s = -0.0861 + 0.6829. Is 0.1 not equal to s?
True
Suppose 3755 + 13783 = 521*d - 299*d. Is -2/23 < d?
True
Suppose 0 = -31*b + 40*b - 594. Suppose -y - b = -3*q, y + 74 = 3*q + 2*q. Which is smaller: y or -55?
-55
Suppose -3*f - f - 16 = 0, 5*s + 4*f - 7349 = 0. Let t = 95741/65 - s. Is t less than 0?
True
Let g = -27054 + 216433/8. Are -3.96 and g equal?
False
Suppose 0 = 2*n - 3*q - 15, 2*q - 5*q - 15 = -n. Let w = -23133/2039552 + -3/7967. Let o = -467/3840 + w. Which is greater: n or o?
n
Let b = -10.3 - -20.4. Let l = 71.1 - b. Let w = l + -66. Which is greater: w or 1?
1
Suppose -4*y = -3*g + 2*g - 134, 4*g = -y + 25. Let p(v) be the second derivative of -v**4/4 - 25*v**3/6 + 5*v**2/2 + 123*v. Let f be p(-7). Does y = f?
True
Suppose -74*y + 43550 = -100*y. Is y at least -1677?
True
Let n be (5 - -5)/(4/(-16)). Let w be (-64)/(-12) + -6 - n/6. Is w less than 7?
True
Let p = -10455 + 10454.9079. Which is bigger: p or 0.01?
0.01
Let h = 1.7 + -0.6. Let t = 3719 - 3720. Let c = t + h. Which is greater: c or 3/19?
3/19
Let n(p) = -7*p + 83. Let z be n(12). Let m be (z/(16/12))/(18/16). Which is smaller: 0.109 or m?
m
Let i = 386 + -656. Let q = i - -269.4. Are q and 2/9 non-equal?
True
Let m(d) = -19*d - 24. Let r be m(-1). Let k(a) = -a**2 - 8*a - 22. Let h be k(r). Let f = 3 - 2. Is f greater than h?
True
Suppose -12 = 5*w - w. Let k = 5697/2 + -2846. Is w equal to k?
False
Suppose -13*q + 3*q - 700 = 0. Let c = -98 - q. Are c and 1 equal?
False
Let t = 33 + -15. Let n be (-9)/(-6)*12/t. Which is greater: n or -57?
n
Let v = 12 - 12. Suppose h = -4*r - 15, 0 = h - v*r - 4*r - 9. Let j = 4 - 6. Which is greater: h or j?
j
Let y be -2 + (40/11)/2. Let x = -161 - -165. Suppose 2*j + 2 = -x*t, -t + 10 = -0*j - 3*j. Which is smaller: t or y?
y
Let o = -0.32 - -1.05. Let d = 7.73 - o. Let u = 174.1 - 174. Is u >= d?
False
Let y be ((-80)/(-60))/((-1)/3). Let k be 5 - (-205)/(1 - y). Which is greater: k or 45?
k
Suppose 7*y - 1639 = -4*y. Suppose 5*c - 747 = a, 4*c - 57*a = -54*a + 591. Which is greater: c or y?
c
Let b(h) = -2*h**2 + 24*h + 16. Let a be b(12). Let k(u) = -u**3 + 16*u**2 - 4*u + 15. Let i be k(a). Let v = i - -47. Which is smaller: 18 or v?
v
Let f = 2.8 + -35.8. Suppose -2*q + 491 = 415. Let i be (95/q - (5 - 2))/2. Is i at most f?
False
Let n = -1.9151 - -0.0151. Which is bigger: n or 2/9?
2/9
Let o = 0.02 + | {
"pile_set_name": "DM Mathematics"
} |
(44/x)/(2 + 84/(-45)) a composite number?
True
Suppose -42 = -5*g + 3*g. Let a be (-2730)/(-28) - (1 - (-3)/(-6)). Suppose -a = -4*q - g. Is q a prime number?
True
Let b(y) = -353*y**3 - 230*y**3 - 163*y**3 + 4*y - 3*y. Is b(-1) prime?
False
Let w be 2 + 3/(-12)*-4. Let j be (-2)/(1*1/w). Is (-10)/15 + (-136)/j composite?
True
Let o(y) = y**3 - 16*y**2 - 22*y - 24. Is o(19) a composite number?
False
Let j be (-116)/((-2)/2) - -1. Let m = -2 + 23. Suppose -2*w + j + m = 0. Is w a prime number?
False
Suppose -5*o = -2*w + 20, 5*w + 0*w + 3*o = -12. Suppose w = b - 43 - 100. Is b a prime number?
False
Let h(p) = 2*p + 3. Let n be h(0). Suppose 0 = -3*t + n*q + 264 + 414, -3*q - 904 = -4*t. Is t composite?
True
Let c(p) = -74*p + 7. Is c(-36) prime?
True
Suppose 4*s = 4*c + 25136, 0 = -4*s + 13*c - 14*c + 25151. Is s composite?
False
Let j(f) = 2*f + 16. Let u be j(-8). Suppose -2*h = -h + 1, u = -o - h + 88. Is o a prime number?
True
Suppose 0 = 6*f - f. Suppose f = i - 104 + 30. Is i composite?
True
Let w(u) = 5*u**2 - 10*u + 16. Let z be w(6). Let j = 11 - -6. Let o = z - j. Is o composite?
True
Let m(t) = 13 + 0 + 3*t**2 - 13*t**2 + 7*t + 11*t**2. Is m(-6) a prime number?
True
Suppose 0 = 7*z - 49 - 0. Suppose -b + z*b = 852. Is b a composite number?
True
Let r(m) = m**2 - 3*m + 2. Let w be r(1). Suppose w = 4*u, 3*n - 5*u - 457 = 212. Is n prime?
True
Let o = -5645 - -11230. Is o a prime number?
False
Is 0 - ((-25)/5 + -14) a prime number?
True
Let z(k) = k**3 - 2*k**3 + 39*k**2 - 4 + 2*k**3 - 10*k - 27*k**2. Let o be z(-10). Suppose o = a + a + 2*c, -3*a + 3*c + 450 = 0. Is a a composite number?
False
Suppose -3184 = -5*g + 15561. Is g composite?
True
Suppose -24*o = -19*o + 85. Let y = 20 + o. Is (-3)/(0 - y/57) composite?
True
Let v(h) = -5*h + 14. Let p be v(4). Let l(x) = 20*x**2 + x - 5. Is l(p) a composite number?
False
Let m = 3 - 1. Suppose m*n - 592 = -0*n. Suppose -732 - n = -2*x. Is x prime?
False
Suppose 5*m = -0 + 25. Let l(u) = 22*u**3 + 4*u - 5*u - 2*u**2 + 2 + 5*u**2 - m*u**2. Is l(1) a prime number?
False
Let j = 11614 + -5015. Is j prime?
True
Let v be 0 + 1 + 22 - 1. Let o be 33/(-12) - -3 - 4/16. Suppose o*a - a = -v. Is a a prime number?
False
Suppose 4*r + 33 = 5*r. Suppose r + 42 = -5*q. Let i(z) = 5*z**2 + 19*z + 13. Is i(q) composite?
False
Let a(p) = -303*p - 4. Let z be a(-5). Suppose 2*l - z = -97. Is l prime?
False
Let f(l) = -11 - 4*l**3 + l - 7*l + 6*l - 8*l - 8*l**2. Is f(-5) a prime number?
False
Let r = -68 + 71. Suppose 4*i + 3132 = 4*k - 15036, -15 = -r*i. Is k prime?
True
Suppose 2*c + 6 + 4 = 0. Let u(i) = -17*i - 8. Let d(j) = -16*j - 8. Let z(s) = 6*d(s) - 5*u(s). Is z(c) a composite number?
False
Let f(a) = 127*a + 114. Is f(9) prime?
False
Suppose -4*z + 3*n = 66, 0 = 5*z + 3*n - n + 94. Is (501/(-15))/(z/15 - -1) prime?
True
Let k(l) = -l**3 - l**2 + 2*l + 3. Let w be k(-2). Suppose 3*o - 862 = 2*n - w*n, 5*o + 3*n = 1438. Is o a composite number?
True
Let o = -1123 + 7722. Is o prime?
True
Suppose 2*u = -4*c - u - 3, 2*c + 9 = -3*u. Suppose 37 = -c*y + 151. Let l = -16 + y. Is l a composite number?
True
Suppose b = 2*b. Let w(g) = -240*g + 76*g - g**2 + 78*g + 203 + 86*g. Is w(b) composite?
True
Is 715207/11 - (-162)/891 composite?
True
Let u(x) = 2*x**2 - 10*x. Let k be 3 + (-2 - (0 + -4)). Let l be u(k). Suppose -4*n = 3*a - 158, l = 5*n + 4*a - 194 - 4. Is n prime?
False
Suppose u + 2142 = -0*u. Let m = -893 - u. Is m prime?
True
Let z = 41521 - 28542. Is z a composite number?
False
Suppose 3*a - 5*h + 25 = 0, 11 = -2*a + 4*h - 9. Suppose -4*r + a*r + 5*v + 615 = 0, -3*r = 5*v - 470. Is r prime?
False
Suppose -a = -0*a - 2. Suppose j + 307 = a*j. Is j a composite number?
False
Let g be (-8)/28 - (-15)/(-21)*-4241. Let n = g + -2122. Is n prime?
True
Suppose -27 = g + 2*g. Let b be (-3)/g + 249/9. Let c = 121 + b. Is c a prime number?
True
Let k(u) = 26*u**3 - 3*u**2 + 3*u - 4. Let y be k(2). Suppose -3*j + y = -1353. Suppose -5*h + j = -228. Is h a composite number?
False
Let n(m) = 24*m - 39 + 14 - 30. Is n(21) prime?
True
Let z(x) = 8 - 1 - 4*x + x. Let f be z(-6). Suppose 3*c - 286 = -f. Is c composite?
True
Is (-792 + 5/(-1))/((-2)/4) a prime number?
False
Suppose 0 = -3*k - 2*k + 560. Suppose 2*r = t + 104, -4*t + t = -2*r + k. Let z = r + -24. Is z prime?
False
Let w = 86747 - 45348. Is w a composite number?
False
Let k(b) = 10*b**2 - 63*b - 84. Is k(13) prime?
True
Suppose -3*c = -4*w + 36 + 324, 270 = 3*w - 4*c. Suppose q - 3*t = -2*t - 45, 0 = -2*q - 5*t - w. Let z = q + 70. Is z composite?
True
Let d(c) = c + 2. Suppose -2*i - 2 = 4. Let z be d(i). Is z/(2 + 525/(-261)) prime?
False
Let a be (3/2)/((-21)/(-28)). Suppose 0 = a*t - t - 2. Suppose 92 + 78 = t*j. Is j composite?
True
Let k(h) = 864*h - 15. Let n be k(-5). Is ((-2)/6)/(5/n) a prime number?
False
Let k = 112 + -106. Suppose 0 = i - 5*o - 3238, -i = -k*i - 4*o + 16335. Is i prime?
False
Let w(v) = -v**2 + 5*v + 8. Let r be w(6). Suppose 2051 = r*m + 5*m. Is m prime?
True
Suppose -1 = w - x, w + 4*x - 3*x - 5 = 0. Let b be w + (-3 - -3) + 2. Suppose 108 = 5*q + 3*c + 5, c = b*q - 96. Is q a prime number?
True
Is 3 - 2 - (-8037 - (0 + -3)) a composite number?
True
Let m = 28942 + -7223. Is m a prime number?
False
Let r(l) = 353*l**2 + 9*l + 249. Is r(-13) a prime number?
False
Is (56766/(-4))/((-9)/(-12)*-2) composite?
False
Let c(s) = 2304*s - 689. Is c(5) composite?
False
Suppose -20*o + 286556 + 35184 = 0. Is o prime?
True
Let q(z) = -z**3 + 30*z**2 - 47*z - 43. Is q(23) prime?
True
Let w be (6 - (-4 - -8)) + 5. Let b be (-7)/(4/280*-2). Suppose 2*a - w*a = -b. Is a composite?
True
Let c = -9465 + 16279. Is c composite?
True
Let u(m) = 402*m + 5. Let k be (1 + 2/(-6))/(2/6). Is u(k) a composite number?
False
Let p(t) = 7*t**2 - 8*t - 11. Let x be p(-2). Let o be 6/15 - 22/5. Let i = x - o. Is i prime?
True
Suppose 760*v - 753*v - 11578 = 0. Is v a composite number?
True
Let n(f) be the first derivative of -347*f**2/2 - 3*f - 9. Is n(-4) prime?
False
Let u(i) = -i**3 + 14*i**2 - 12*i - 12. Let v = -5 - -18. Let m be u(v). Is (0 + 11)/(m/5) a composite number?
True
Let v(m) = 186*m**2 + 11*m - 55. Is v(4) composite?
True
Let c(d) = -2*d**3 - 17*d**2 + 10*d + 2. Let n be c(-12). Is (n - -4) + (-1 - -2) a composite number?
True
Suppose -4*d + 2*r + 2 = 0, 0 = 3*d - 2*r - 2*r + 11. Suppose -k - 625 = -2*v + 2254, 1442 = v - d*k. Is v a composite number?
False
Suppose 2*d - 3*u = 382, -d + u + 13 = -176. Suppose d = -7*w + 12*w. Suppose 0 = -4*o + 2*y + 120, -w = o - 2*o - 3*y. Is o prime?
True
Let o = 63 + -10. Is -37*o*(-1 - (2 + -2)) a composite number?
True
Let w(z) be the first derivative of -z**6/40 - 7*z**5/60 - z**4/8 + 4*z**3/3 - 5*z**2 - 11. Let p(m) be the second derivative of w(m). Is p(-6) prime?
False
Let x be 1*(-3)/6*-2. Suppose -6*y + y - 5*s = -5, 3*y - 3*s + 3 = 0. Is (x + 0 + y)*95 a prime number?
False
Suppose -5*n = 4*a - 98, -5*n + 4*a + 122 = -0*a. Let b be n/(-6) - 2/6. Let d = 30 - b. Is d composite?
True
Suppose 3*a + c - 124140 = 0, -4*a - 5*c + 261977 = 96468. Is a a prime number?
True
Suppose -30*f + 36*f - 178446 = 0. Is f a prime number?
True
Suppose -2*o = 5*j - 24343, 5*j + 0*o - 4*o - 24319 = 0. Is j composite?
True
Suppose -24*s - 150 = -27*s. Suppose -376 + s = -2*r + 3*g, 12 = -3*g. Is r a composite number?
False
Let j be (-16)/(4/(-1)) + (-1790)/(-1). Let q be 2/3 + 26870/6. Suppose -3*n - 2*l = 2*n - q, 2*l - j = -2*n. Is n composite?
True
Let b = 503 + -1183. Let g = b - -979. Is g prime?
False
Suppose 0 = 3*b + 5*u - 10, -3*u = -b + u + 9. Suppose -2*i + b*i = 0. Suppose 5*r + 2*w - 175 = i, -34 = 4*r - 2*w - 156. Is r prime?
False
Suppose 3989 = 5*b - 5486. Suppose -9*k = -4*k - b. Is k a prime number?
True
Suppose 2*z - 72 = -40. Suppose z*y - 11*y = 8285. Is y prime?
True
Suppose -7 = -4*r - 123. Let j = -105 + r. Let l = -81 - j. Is l a composite number?
False
Suppose 0 = 4*q - 2*z - 3546, q = -15*z + 14*z + 894. Is q composite?
True
Let y(p) be the third derivative of -p**4/6 - p**3/6 - 8*p**2. Let c be y(-1). Suppose -c*g + 40 = g. Is g composite?
True
Let z(x) = -x - 14. Let f be z(-14). Suppose 3*s - 556 + 40 = f. Let o = s - 15. Is o prime?
True
Suppose 6 = -3*s - 3*b - 0*b, | {
"pile_set_name": "DM Mathematics"
} |
192)*-1 - sqrt(192) - sqrt(192)))*6)*3)**2.
7560*sqrt(3) + 529281
Simplify (-5*sqrt(121)*-2*-4*-5)/(sqrt(11) - (sqrt(891)*2 + sqrt(11)) - (sqrt(396) + sqrt(396)*3)).
-100*sqrt(11)/21
Simplify ((sqrt(42) + 2*sqrt(4200) + sqrt(42) + sqrt(42))/(sqrt(7) + 2*sqrt(7)*1))/((-6*sqrt(216))/(sqrt(48)/sqrt(4)*5))*5.
-575*sqrt(3)/54
Simplify (4*((sqrt(112) + 0)*6*-3 - (2*(sqrt(112) - sqrt(112)*2) + 0)))**2*1.
458752
Simplify ((-1 + sqrt(208)*-3*-1)**2 - (-2 + -4*sqrt(208) + sqrt(208) + sqrt(208) + -5))*-4.
-7520 + 64*sqrt(13)
Simplify (((-3*(sqrt(152)*1 + sqrt(152) - sqrt(152)) - sqrt(152) - (sqrt(152) - sqrt(152)*-2*-1))*-2)/(4*sqrt(392) - (sqrt(288) - 1*sqrt(288))))**2.
171/196
Simplify (1*3*sqrt(136) - sqrt(136))/(sqrt(128)*-2) + (3*sqrt(187)*1 - sqrt(187))/(sqrt(33)/sqrt(27)).
23*sqrt(17)/4
Simplify ((0 + sqrt(76))*2 - ((sqrt(76) + 1)*1 + sqrt(76)))**2 - (4*((sqrt(76) + -1)*1 - sqrt(76))*-1)**2.
-15
Simplify ((-2*sqrt(24)*-6 - sqrt(24))*-4)/(5*sqrt(48)*2).
-11*sqrt(2)/5
Simplify -2 + 0 + 4*(1 + -5 + (-4*(sqrt(5) + sqrt(5) + sqrt(5) + 0) - sqrt(80)*3)).
-96*sqrt(5) - 18
Simplify ((sqrt(325) + 1)*-4 + sqrt(325) + sqrt(325) + 3 + 4 + -2*(sqrt(325) - (sqrt(325)*2 + 4)) + 4)**2.
225
Simplify (-2 + ((-5 + (sqrt(704)*2 + sqrt(704) - sqrt(704)) - sqrt(704)) + (sqrt(704)*-2 - sqrt(704))*2 + 3)*1*2)**2.
960*sqrt(11) + 70436
Simplify -5 + (-4*(5 + sqrt(1539) + sqrt(1539)*2 + 4 + -1 + sqrt(1539) + sqrt(1539) + sqrt(1539)) + -6*(sqrt(1539) + -1 + sqrt(1539) + sqrt(1539) + 0 + -4))**2.
1512*sqrt(19) + 2714795
Simplify (5 + sqrt(1872)*2 + 5 - (sqrt(1872)*-2 + -1 + (sqrt(1872) - (sqrt(1872) + -1*sqrt(1872) + sqrt(1872) + sqrt(1872)))*3))*1.
11 + 84*sqrt(13)
Simplify 3*(-5*(-2*(sqrt(40) - -5*sqrt(40)))/(sqrt(128)*2)*-3)**2.
30375/4
Simplify (1*(sqrt(68)*2 + sqrt(68)) + -1*2*sqrt(68) + sqrt(68))/(sqrt(40)/((sqrt(240)/sqrt(4))/sqrt(6))).
2*sqrt(17)
Simplify (sqrt(3025)*1)/(sqrt(5) + sqrt(45)*-1) + -2 + (sqrt(50)/(sqrt(20)/sqrt(4)))/((-2*sqrt(24))/sqrt(12)).
-6*sqrt(5) - 2
Simplify (((sqrt(76) + (sqrt(76) - sqrt(76)*1 - sqrt(76))*3)/sqrt(4) - sqrt(209)/(4*sqrt(33)/sqrt(3))) + 3)**2.
-27*sqrt(19)/2 + 1683/16
Simplify -1 + (((sqrt(88) - sqrt(88)*2*1)*3)/(4*sqrt(16)/sqrt(2) - 6*2*sqrt(8)))**2 + 5.
355/64
Simplify (-6*(sqrt(90)/(-4*sqrt(36)/sqrt(4)))/((sqrt(20) + -2*sqrt(20))/sqrt(4) - sqrt(5) - -1*sqrt(125)) + 1)**2.
sqrt(2) + 3/2
Simplify (((1 + sqrt(1573) - sqrt(1573)) + 4 + (5 + -1 + sqrt(1573) + sqrt(1573) - sqrt(1573)) - (-3*(sqrt(1573) + 0) + sqrt(1573)*2*5))*3)**2 + 2.
-10692*sqrt(13) + 510383
Simplify -1 + (-3*3*((sqrt(396) - (-1 + 0 + sqrt(396))) + -1))**2 + 1.
0
Simplify -4*(3*((-1 + sqrt(243))*5)**2 - (-3 + (0 + sqrt(243) - sqrt(243)) - (-1 + sqrt(243) + 2))**2).
-72164 + 5688*sqrt(3)
Simplify (2*(1*sqrt(133)*-1 + sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133))*-5)/((-1*sqrt(252) - (sqrt(77)*-2)/sqrt(11))*5).
3*sqrt(19)/2
Simplify (4 + (sqrt(2541)*-2)/(sqrt(252)*-3))**2*3*-4 + 1.
-2203/9 - 352*sqrt(3)/3
Simplify -1 + ((-1 + 6*(4 + sqrt(1900) + 3*sqrt(1900) + 4) + -3)*-1)**2.
21120*sqrt(19) + 1096335
Simplify (sqrt(76) + sqrt(76) + -1 + 3 - (-2*sqrt(95)*2 - sqrt(95))/sqrt(5))**2 - (-5*(3*sqrt(133)/(sqrt(21)/sqrt(3)) + 3))**2.
-2957 - 414*sqrt(19)
Simplify sqrt(95)/sqrt(180) - sqrt(1216)*2 - (-5 + (1 + sqrt(1539) + 4)**2).
-1559 - 635*sqrt(19)/6
Simplify (2 + sqrt(425))*6 + sqrt(425) + -5 + -2 + 3 + sqrt(17) + (1 + 5 + sqrt(17))**2.
61 + 48*sqrt(17)
Simplify -5 + (sqrt(528)/(sqrt(144)/sqrt(432)) - (sqrt(6336)*2 - sqrt(6336) - (0 + sqrt(44) + 1)))**2.
-20*sqrt(11) + 1096
Simplify (-4*(-2 + sqrt(128)*-1*-4 + -2 + -3 + 2 + sqrt(128)))**2.
-6400*sqrt(2) + 51600
Simplify (((sqrt(238) + 5*sqrt(238))*3)/sqrt(7))/(sqrt(20)/(-5*1*sqrt(10))).
-90*sqrt(17)
Simplify ((-5*(sqrt(119) - (sqrt(119) + sqrt(119)*5)) - sqrt(119))*-3)/(sqrt(14)/sqrt(2)*4 + sqrt(77)/sqrt(99)).
-216*sqrt(17)/13
Simplify (sqrt(4455) - -3*(5*sqrt(4455) - sqrt(4455)))/(sqrt(3564) - ((sqrt(3564)*3 + sqrt(3564) - sqrt(3564)) + sqrt(3564))).
-13*sqrt(5)/6
Simplify (-4 + 6*((sqrt(612) + -3)*3 + -4)*3*-1)**2.
-149040*sqrt(17) + 1837492
Simplify (-2*-3*sqrt(66))/(2*(sqrt(6) - (sqrt(6) + sqrt(24)/sqrt(4))) - sqrt(6)) + 4 + -6*sqrt(121)/((sqrt(132) + sqrt(132)*1)/sqrt(12)).
-5*sqrt(11) + 4
Simplify 6*((-3*2*((sqrt(468)*-2 - sqrt(468))*2 + (sqrt(468) + 1)*-5) + 5)*1)**2.
166320*sqrt(13) + 12238998
Simplify (((sqrt(68) + -3 + -4 + sqrt(68))*3 - (4 + sqrt(68) + (sqrt(68) - (sqrt(68) + -3)) + 3)) + 1)**2.
-600*sqrt(17) + 2600
Simplify ((-1 + (sqrt(300) - 1*sqrt(300)) + 5 + -1 + sqrt(300) + 3 - (1*sqrt(300) + sqrt(300) + 4 + 1 + 1*sqrt(300) + sqrt(300) + sqrt(300))) + 5)**2.
-480*sqrt(3) + 4836
Simplify ((2*sqrt(1458)*-4)/(-4*(-3*sqrt(384) + sqrt(384) + sqrt(384))))**2*-2.
-243/8
Simplify 6*sqrt(114)/(sqrt(12)/sqrt(2))*4 - (sqrt(19) + 3 + -2 + -1)*6.
18*sqrt(19)
Simplify ((3*sqrt(126)*-2)/(sqrt(99)/(sqrt(44)/sqrt(4))))/(1*3*-1*sqrt(242)).
2*sqrt(7)/11
Simplify 1 + -6*-6*-3*-6*((sqrt(252)*-4)/sqrt(4))**2.
653185
Simplify -3*sqrt(800)*-4 + -4*(sqrt(10) + sqrt(40)*-2)/sqrt(5).
252*sqrt(2)
Simplify (-2 + 2*sqrt(1053) + 2 + -2*(4 + (sqrt(1053)*-1 - sqrt(1053))))**2.
-864*sqrt(13) + 37972
Simplify (sqrt(28)/(sqrt(12)/sqrt(6)) - (sqrt(336)/sqrt(6) + sqrt(56)))/(sqrt(50) + sqrt(800) + sqrt(2) + sqrt(16)/sqrt(2)).
-3*sqrt(7)/28
Simplify (4*(-3 + 5*2*(-1 + sqrt(3))))**2 - (1*sqrt(300)*4 + 0 + (sqrt(144)/sqrt(4))/sqrt(12)).
-4201*sqrt(3) + 7504
Simplify 1 + (sqrt(189)/(sqrt(9) + (sqrt(9) + (sqrt(36) - sqrt(9)))*-1))/(sqrt(108)*3*-3).
sqrt(7)/54 + 1
Simplify (1 + sqrt(5) + -1 + -2)*6 + -3 + ((0 + sqrt(245))**2*2 - 4*-3*(sqrt(5) - sqrt(45))**2).
6*sqrt(5) + 715
Simplify ((2*sqrt(567)*2 + (-2 + sqrt(567))*-2 + (sqrt(567) + 1)*5*-5)*4*-3)**2.
1251936*sqrt(7) + 43255296
Simplify (6*3*sqrt(35) - sqrt(35)*-2*5)/(-1*sqrt(343) + 3*sqrt(112)).
28*sqrt(5)/5
Simplify (-1*sqrt(8)*-1*6*-6 + 6*(-4*sqrt(8)/sqrt(4) - sqrt(2)) + sqrt(12)/(-1*(sqrt(6) - sqrt(96))))**2.
186050/9
Simplify (5*(sqrt(756) + sqrt(756) + -2*(sqrt(756)*2 + sqrt(756)))/sqrt(12))**2 + (-1*sqrt(630)*-5 - sqrt(630))/(6*sqrt(10)*1).
2*sqrt(7) + 25200
Simplify (sqrt(1331) + sqrt(1331) + 2 + sqrt(1331) + -3)*4 + sqrt(11) + sqrt(44)*3 + ((sqrt(99) - sqrt(11)) + sqrt(11) + -5)**2.
120 + 109*sqrt(11)
Simplify ((0 + (2 + sqrt(99))*3 + 3 + -3)*-2)**2.
432*sqrt(11) + 3708
Simplify -2*(((-1 + sqrt(98) - sqrt(98)) + 2)**2 + 0 - (sqrt(98) + (sqrt(98) - 6*(-1*sqrt(98))**2) + -5)).
-1188 + 28*sqrt(2)
Simplify -5 + ((-3 + -3*sqrt(425) - (-3 + 1 + sqrt(425))) + (-1 + -2*sqrt(425)*-2)*-2)**2.
-120*sqrt(17) + 61196
Simplify (sqrt(648) + -1*sqrt(648) - sqrt(72)/(sqrt(45)/sqrt(5)))/(((2*sqrt(224))/sqrt(7))/(sqrt(968)*-1))*2.
11*sqrt(2)
Simplify (-1*(-1*(-4 + -1*(sqrt(500) - (sqrt(500) + (sqrt(500) - (sqrt(500) - (5 + sqrt(500) + 1 + sqrt(500) - sqrt(500))))))) + 1) + 2)**2.
60*sqrt(5) + 509
Simplify 2*(0 + ((sqrt(21)/(sqrt(9)/(sqrt(30)/sqrt(10))))**2 - (sqrt(35)/(sqrt(15)/sqrt(3)) + 5*(1*sqrt(7))**2))).
-56 - 2*sqrt(7)
Simplify -3*(3 + (3 + 0 + sqrt(117)*2 + sqrt(117) + (sqrt(117) - (-1 + sqrt(117) + 5)) + 2)**2).
-3171 - 54*sqrt(13)
Simplify 3*(((sqrt(98) + 0 + -2 + (1*(1*sqrt(98) - sqrt(98)) - sqrt(98)))*3 + ((-1 + sqrt(98))*5 + -2)*-6)**2 + 4).
-45360*sqrt(2) + 268500
Simplify ((sqrt(156) + 1*sqrt(156))*-1 - sqrt(156) - (4*-3*sqrt(156) + sqrt(156)))/((sqrt(48)/(-1*sqrt(4)) - (sqrt(96)/sqrt(2) - sqrt(48)))*-6).
4*sqrt(13)/3
Simplify -4 + 2*((-1*(0 + sqrt(117)) - (0 + 1 + sqrt(117) - sqrt(117))**2) + -2) + 0.
-6*sqrt(13) - 10
Simplify ((2*sqrt(77)*-1 - 4*sqrt(77)*-1)/((sqrt(891) - sqrt(891)*-1*-2) + -3*sqrt(891)*1))**2.
7/324
Simplify ((-3*sqrt(40)*3)/sqrt(5))/((sqrt(484) + sqrt(484) + -4*sqrt(484) + sqrt(484) + sqrt(484) - sqrt(484))*-3).
-3*sqrt(2)/11
Simplify (2*-2*((sqrt(68) + 2*(sqrt(68) - sqrt(68)*-1))*5 - (-4 + sqrt(68) + sqrt(68) + 1 - (sqrt(68) - (-2*sqrt(68) + -2)))))**2.
8320*sqrt(17) + 735888
Simplify (-1 + (5*(1 + sqrt(1053)) - (sqrt(1053)*1 + 1) - (sqrt(1053) + -3*(sqrt(1053) + 3 + sqrt(1053)) + 0)))**2.
1944*sqrt(13) + 85437
Simplify -6*(3*(sqrt(252) - (sqrt(252) - sqrt(252)*1)*1))/((sqrt(72) + sqrt(72) + -1*sqrt(72)*-3)/(-2*sqrt(128))).
288*sqrt(7)/5
Simplify (1*5*sqrt(1584))/((sqrt(352)/(sqrt(11)*-1))/sqrt(8)).
-30*sqrt(11)
Simplify (6*(2*(sqrt(1575) - (sqrt(1575) + -3))*-5 | {
"pile_set_name": "DM Mathematics"
} |
descending order.
0.4, -3/11, -1, -8
Put 11, -2, -18, 2, -1 in decreasing order.
11, 2, -1, -2, -18
Sort -5, 437, -3 in ascending order.
-5, -3, 437
Put 28, -19, -7 in descending order.
28, -7, -19
Sort -5/4, -2/43, 2/3 in descending order.
2/3, -2/43, -5/4
Put 0.3, -4, -1/4, 4/9 in decreasing order.
4/9, 0.3, -1/4, -4
Put -2/7, -1, 269, -0.4 in decreasing order.
269, -2/7, -0.4, -1
Sort 5/2, -2, 1536 in decreasing order.
1536, 5/2, -2
Sort -1, -3, -5, 2, -177 in decreasing order.
2, -1, -3, -5, -177
Sort 34, 1, 13, 2, 5.
1, 2, 5, 13, 34
Put 38/3, -7, -3, 5, 3/7 in ascending order.
-7, -3, 3/7, 5, 38/3
Sort -2/3, 1.5, -0.14, 3 in decreasing order.
3, 1.5, -0.14, -2/3
Sort -4, 2, -2, -37, -3 in decreasing order.
2, -2, -3, -4, -37
Put -1, -4/7, -1.57, -5/2 in descending order.
-4/7, -1, -1.57, -5/2
Sort 0.05, 4, 0.07, 5, -36 in ascending order.
-36, 0.05, 0.07, 4, 5
Sort -9, 3, -1, -5 in increasing order.
-9, -5, -1, 3
Put 28/5, -0.8, -0.2, -0.3 in decreasing order.
28/5, -0.2, -0.3, -0.8
Put 76, -0.2, -5/8 in descending order.
76, -0.2, -5/8
Put 1, 0, 3, 351 in descending order.
351, 3, 1, 0
Put 4, -4, 18, 1 in descending order.
18, 4, 1, -4
Put 5, -3, -1, 4, 64 in descending order.
64, 5, 4, -1, -3
Sort 12, -7, 2 in decreasing order.
12, 2, -7
Put -2, -3, 10, 2/11 in descending order.
10, 2/11, -2, -3
Sort 9, 0, 0.5.
0, 0.5, 9
Sort 3, -70, -1, -4 in descending order.
3, -1, -4, -70
Sort -11, 10, 6 in descending order.
10, 6, -11
Put 6, 0, -179, -3 in increasing order.
-179, -3, 0, 6
Sort -2, 2, 63 in decreasing order.
63, 2, -2
Sort 19, 2/11, 0.5, -5.
-5, 2/11, 0.5, 19
Put -0.2, 4/3, 10/3 in ascending order.
-0.2, 4/3, 10/3
Put -1/43, 1/3, 0.3, 2/5 in descending order.
2/5, 1/3, 0.3, -1/43
Sort -24, -5, -16 in descending order.
-5, -16, -24
Sort 2, -29, -4, 5 in decreasing order.
5, 2, -4, -29
Sort -52, 7, -2 in descending order.
7, -2, -52
Put -2, 18/13, -4, 3/4 in descending order.
18/13, 3/4, -2, -4
Sort -3, -8, -0.01 in ascending order.
-8, -3, -0.01
Put -2, 619, -4 in descending order.
619, -2, -4
Sort 2/9, 25, -5/6, 4/3 in increasing order.
-5/6, 2/9, 4/3, 25
Sort -0.3, 20, 2 in decreasing order.
20, 2, -0.3
Put 1, 10, 0.4 in descending order.
10, 1, 0.4
Put 1, 0, 3, -137 in decreasing order.
3, 1, 0, -137
Put 483, 0, -3, -2 in decreasing order.
483, 0, -2, -3
Put 10, -7, 4 in descending order.
10, 4, -7
Sort 5, -1, 2, 126 in increasing order.
-1, 2, 5, 126
Sort 0, 6, -4, 5, 4 in descending order.
6, 5, 4, 0, -4
Sort 3, 4, -74, -11 in ascending order.
-74, -11, 3, 4
Sort 15, 12, -1.
-1, 12, 15
Sort -2, 3, -41.
-41, -2, 3
Put 2, -4, 3/26 in descending order.
2, 3/26, -4
Put 107, -2, 2, 6, 3 in descending order.
107, 6, 3, 2, -2
Put -3, 0.1, 1/3, 1/2, 0.023 in decreasing order.
1/2, 1/3, 0.1, 0.023, -3
Put -1, 0, 5009 in descending order.
5009, 0, -1
Put -1, 5, -3, 20 in descending order.
20, 5, -1, -3
Sort 0, -0.3, 5/12 in decreasing order.
5/12, 0, -0.3
Sort 5.2, -1, -1/3, 0.3 in descending order.
5.2, 0.3, -1/3, -1
Sort 4, -4, 2, -123, -1 in increasing order.
-123, -4, -1, 2, 4
Put 6, 0, -3, -26 in decreasing order.
6, 0, -3, -26
Sort -2/5, 2/3, 0.3, 21, 2 in descending order.
21, 2, 2/3, 0.3, -2/5
Put 0.7, 1/5, -10, 6/5 in descending order.
6/5, 0.7, 1/5, -10
Sort -7, -4, -5, 0 in descending order.
0, -4, -5, -7
Put 0.4, 34/23, 4, -1, -3 in decreasing order.
4, 34/23, 0.4, -1, -3
Sort 0.05, 2/3, -0.228 in decreasing order.
2/3, 0.05, -0.228
Put 3, 5, 0.5, -18.3 in descending order.
5, 3, 0.5, -18.3
Sort -5, -92, -1, -3 in descending order.
-1, -3, -5, -92
Sort 9, -3, -2, 5.
-3, -2, 5, 9
Sort -4, 29, 106, -3 in decreasing order.
106, 29, -3, -4
Put 2/7, -2/17, -1, 2/17, 23 in ascending order.
-1, -2/17, 2/17, 2/7, 23
Put 1, -184, -2, -5 in decreasing order.
1, -2, -5, -184
Put 0.1, 3, 4, 96/5, -5 in decreasing order.
96/5, 4, 3, 0.1, -5
Sort -4, -5, -12, 26 in decreasing order.
26, -4, -5, -12
Put -2/3, 0, 2, -5, 181/3 in increasing order.
-5, -2/3, 0, 2, 181/3
Sort 4, -4, 2.
-4, 2, 4
Put 177, -2, -1.9 in increasing order.
-2, -1.9, 177
Sort 2, 161, -5.
-5, 2, 161
Sort 9, -176, 4.
-176, 4, 9
Sort 1/13, 3, -1/8, -2/21 in ascending order.
-1/8, -2/21, 1/13, 3
Sort -18, 1, 14, 4.
-18, 1, 4, 14
Sort -9, -4, 43 in increasing order.
-9, -4, 43
Sort 3/4, -1/5, -90.8 in ascending order.
-90.8, -1/5, 3/4
Put -0.2, 2, 28, -4 in increasing order.
-4, -0.2, 2, 28
Put 4, 3, 39, -4 in descending order.
39, 4, 3, -4
Put -0.4, 4, -1, 0, 2.18 in decreasing order.
4, 2.18, 0, -0.4, -1
Sort 294, -2, 4, -4 in ascending order.
-4, -2, 4, 294
Put 2, -37, 0 in ascending order.
-37, 0, 2
Put -4, 3, -3, 4 in decreasing order.
4, 3, -3, -4
Put -1, 1/2, -148 in increasing order.
-148, -1, 1/2
Sort 37, 2, -1 in decreasing order.
37, 2, -1
Sort -3, -33, 3, 5, 4 in descending order.
5, 4, 3, -3, -33
Sort 4/5, -3/4, 2/91, 2/5.
-3/4, 2/91, 2/5, 4/5
Put -11, 3, -9, 4, -13 in decreasing order.
4, 3, -9, -11, -13
Sort 3, -1, -338 in ascending order.
-338, -1, 3
Sort -13, 59, 3 in decreasing order.
59, 3, -13
Sort -2, -4, -40, -1.
-40, -4, -2, -1
Put -34, 10, 2, -5 in ascending order.
-34, -5, 2, 10
Put -1/3, -7/6, 1 in descending order.
1, -1/3, -7/6
Sort 0, 2, -2/25, -2/11, -0.4 in decreasing order.
2, 0, -2/25, -2/11, -0.4
Sort -0.5, -4, 6/19 in ascending order.
-4, -0.5, 6/19
Sort -5, 6, 4, 0 in ascending order.
-5, 0, 4, 6
Sort 4, -1, 0.
-1, 0, 4
Put -284, 1, 5 in increasing order.
-284, 1, 5
Put 6, -2, 106, -3, 2 in decreasing order.
106, 6, 2, -2, -3
Put -50, -3, -5/3, -1/3 in ascending order.
-50, -3, -5/3, -1/3
Put 0, -9, -3, 9 in increasing order.
-9, -3, 0, 9
Sort 0, -2, -68, 3 in increasing order.
-68, -2, 0, 3
Put 1, -2/17, -0.7 in increasing order.
-0.7, -2/17, 1
Sort -4, -2/3, 4/11, 5 in decreasing order.
5, 4/11, -2/3, -4
Sort 3, -1, -41, -0.4, -0.03 in descending order.
3, -0.03, -0.4, -1, -41
Put -30, 5, -2, -5, 1 in increasing order.
-30, -5, -2, 1, 5
Sort 0, -34, -13, 1 in ascending order.
-34, -13, 0, 1
Put 1/3, 12, 4, 1/7 in decreasing order.
12, 4, 1/3, 1/7
Sort 0, 128, -36, -3 in descending order.
128, 0, -3, -36
Sort -3, 339, 0 in increasing order.
-3, 0, 339
Sort 3, 3/4, 937.
3/4, 3, 937
Put 4, 0, 6, 15 in ascending order.
0, 4, 6, 15
Sort 5, 32, -0.5, 2/3, 3 in descending order.
32, 5, 3, 2/3, -0.5
Sort -4, -2/11, 2/11 in increasing order.
-4, -2/11, 2/11
Sort 3, 0, -18 in ascending order.
-18, 0, 3
Put 1, -4, 7, 4 in increasing order.
-4, 1, 4, 7
Sort -2, -3, 25, 4, 16.
-3, -2, 4, 16, 25
Sort 0.4, 1/4, 2/13, 8 in decreasing order.
8, 0.4, 1/4, 2/13
Put 2, -4, -30 in descending order.
2, -4, -30
Sort -0.2, 1/15, -2/5, 0 in ascending order.
-2/5, -0.2, 0, 1/15
Sort -0.155, 3/4, -3/5, 0.3 in decreasing order.
3/4, 0.3, -0.155, -3/5
Put -0.2, 203, -0.01, 0, -3 in increasing order.
-3, -0.2, -0.01, 0, 203
Put 6, 85, -4, -5/3 in descending order.
85, 6, -5/3, -4
Put 95, -0.2, 1/10 in decreasing order.
95, 1/10, -0.2
Put 109, -5, 2 in decreasing order.
109, 2, -5
Sort 2/5, 236/7, 3/7 in ascending order.
2/5, 3/7, 236/7
Sort 1/3, -0.2, 1/4, -0.3.
-0.3, -0.2, 1/4, 1/3
Sort 134, -9, 4.
-9, 4, 134
Sort -2/33, -3, 0, 0.2, 2 in descending order.
2, 0.2, 0, -2/33, -3
Put 181, 4, -2 in decreasing order.
181, 4, -2
Sort -3, -5, -165, -2.
-165, -5, -3, -2
Put -1, -0.09, -0.3, -3 in descending order.
-0.09, -0.3, -1, -3
Put 2, -2, 7, 1, -13 in decreasing order.
7, 2, 1, -2, -13
Sort -69, -1, 5, -5, -3 in descending order.
5, -1, -3, -5, -69
Sort -5/6, 3, -12, -96 in decreasing order.
3, -5/6, -12, -96
Put -4/3, 13, -0.4, -5 in ascending order.
-5, -4/3, -0.4, 13
Sort 4, 2, 5, 10, 0.
0, 2, 4, 5, 10
Sort 110, -4, 0 in increasing order.
-4, 0, 110
Sort -26, -8, -39 in descending order.
-8, -26, -39
Put 4, 87, 0.5, -1, -0.02 in increasing order.
-1, -0.02, 0.5, 4, 87
Sort 1/3, 0.12, -1, -2 in descending order.
1/3, 0.12, -1, -2
Put 14, -3, 104 in ascending order.
-3, 14, 104
Put -5, -4, 7 in decreasing order.
7, -4, -5
Sort -398, -5, -0.1 in ascending order.
-398, -5, -0.1
Sort 10, -25, -4, -5, 1/2 in descending order.
10, 1/2, -4, -5, -25
Put 0.1, -3760, -0.4 in descending order.
0.1, -0.4, -3760
Sort -3/4, -5, -19/8.
-5, -19/8, -3/4
Sort -1, 3, 8/3, -3 in ascending order.
-3, -1, 8/3, 3
Sort 5, 9565, 2 in increasing order.
2, 5, 9565
Sort 2, 3, -1, -5, 10 i | {
"pile_set_name": "DM Mathematics"
} |
one million.
262000000
What is -51869.4172 rounded to the nearest ten thousand?
-50000
What is -317912.5872 rounded to the nearest ten?
-317910
What is -314129.01 rounded to the nearest 1000?
-314000
What is 0.14977559 rounded to four dps?
0.1498
Round -0.01477192191 to 5 dps.
-0.01477
What is 0.0000007699303 rounded to 7 decimal places?
0.0000008
What is 6.577630378 rounded to zero decimal places?
7
What is 18110.3742 rounded to the nearest one hundred?
18100
Round -10430.174384 to the nearest one hundred.
-10400
Round -0.36838858 to 4 decimal places.
-0.3684
Round 0.54701308 to 3 dps.
0.547
What is -22215240 rounded to the nearest one million?
-22000000
What is -266.973278 rounded to the nearest integer?
-267
What is 0.24220647 rounded to 1 decimal place?
0.2
What is 2.7027781 rounded to zero decimal places?
3
Round -737.0751675 to the nearest 10.
-740
What is -23335.5369 rounded to the nearest ten?
-23340
What is 8601.9454 rounded to 0 decimal places?
8602
What is -0.083611 rounded to two decimal places?
-0.08
What is 0.0000663008614 rounded to seven decimal places?
0.0000663
What is -875389077.3 rounded to the nearest 100000?
-875400000
Round -2142409.253 to the nearest 1000000.
-2000000
Round -1739691710 to the nearest one hundred thousand.
-1739700000
What is -30.472809 rounded to 2 decimal places?
-30.47
What is 0.278647894 rounded to 3 dps?
0.279
What is -0.02344590875 rounded to 5 decimal places?
-0.02345
What is -34.0885352 rounded to 3 decimal places?
-34.089
Round 0.000001861206 to seven decimal places.
0.0000019
Round 0.00000200574087 to 7 decimal places.
0.000002
Round -1658215.89 to the nearest 100000.
-1700000
Round -10219.4511 to the nearest one thousand.
-10000
What is -0.0001177808806 rounded to 6 decimal places?
-0.000118
Round 0.000000164041656 to seven decimal places.
0.0000002
What is 34142715.08 rounded to the nearest 10000?
34140000
Round 1621944597 to the nearest 100000.
1621900000
What is 0.00000265339698 rounded to seven dps?
0.0000027
Round -0.00008089942044 to five dps.
-0.00008
What is 0.000020771155 rounded to 6 decimal places?
0.000021
What is 51.217488 rounded to the nearest 10?
50
Round 2910873.73 to the nearest one hundred.
2910900
Round -0.01240533153 to 4 dps.
-0.0124
What is -4913419.6 rounded to the nearest 1000?
-4913000
What is 0.109446634 rounded to two decimal places?
0.11
Round 474.9589744 to 2 decimal places.
474.96
Round -171.8067842 to the nearest 10.
-170
What is -0.00000104012869 rounded to 6 decimal places?
-0.000001
What is 2155517470 rounded to the nearest 1000000?
2156000000
Round 0.00049692247 to 3 decimal places.
0
Round 0.003807685431 to 4 decimal places.
0.0038
Round 592.917569 to two dps.
592.92
What is 209331.2014 rounded to the nearest 10?
209330
Round 34118458400 to the nearest one million.
34118000000
What is -33694.698 rounded to the nearest 10000?
-30000
Round 409846.408 to the nearest 10.
409850
Round -10175.15225 to zero dps.
-10175
Round 0.000054089996 to 6 decimal places.
0.000054
Round 1935980.885 to the nearest one hundred thousand.
1900000
What is 1838952515 rounded to the nearest 1000000?
1839000000
What is 0.001322042331 rounded to six decimal places?
0.001322
What is -1.36501734 rounded to one dp?
-1.4
Round 0.00555479709 to four dps.
0.0056
Round -380.0196712 to 2 dps.
-380.02
Round -270.213193 to the nearest 10.
-270
Round 0.0000019728991 to six dps.
0.000002
Round -966047980 to the nearest 1000000.
-966000000
Round 8253.1673 to 0 dps.
8253
Round 2704.06943 to the nearest integer.
2704
Round 2395.089218 to 0 dps.
2395
Round 66.5227633 to zero decimal places.
67
Round 56942475 to the nearest one hundred thousand.
56900000
Round -0.1008514171 to six dps.
-0.100851
Round -223.601069 to one decimal place.
-223.6
Round 9899414.72 to the nearest one hundred thousand.
9900000
Round -56165.3369 to the nearest one thousand.
-56000
Round -2.465609422 to three decimal places.
-2.466
Round 3.1907885 to 3 dps.
3.191
Round 150.496815 to two decimal places.
150.5
What is -17256263.7 rounded to the nearest 10000?
-17260000
What is 0.00007538409896 rounded to 7 decimal places?
0.0000754
Round 264016547 to the nearest 100000.
264000000
What is 1224904552 rounded to the nearest one million?
1225000000
What is -0.00008215816482 rounded to seven dps?
-0.0000822
Round 8451019590 to the nearest one hundred thousand.
8451000000
Round -0.004087798 to 3 decimal places.
-0.004
What is -2223822.3 rounded to the nearest 100?
-2223800
What is 769.1965837 rounded to 0 dps?
769
What is -0.089724211 rounded to three decimal places?
-0.09
Round -0.0158483197 to four decimal places.
-0.0158
Round 1783166.862 to the nearest 100000.
1800000
Round 2040741000 to the nearest 1000000.
2041000000
Round -0.00226184331 to six dps.
-0.002262
Round -3389.361016 to 1 decimal place.
-3389.4
What is 0.00009567686883 rounded to seven dps?
0.0000957
What is 0.02273899725 rounded to 6 dps?
0.022739
Round -0.00011367043 to 5 dps.
-0.00011
Round -0.0861858806 to 2 dps.
-0.09
Round 3103206.785 to the nearest one thousand.
3103000
Round 0.0000107277446 to 6 dps.
0.000011
What is -60.231316 rounded to the nearest integer?
-60
Round 30815752.19 to the nearest one million.
31000000
Round -0.00035297101 to 5 dps.
-0.00035
Round 93001950400 to the nearest 1000000.
93002000000
Round -1.1296142 to two dps.
-1.13
What is 8663387133 rounded to the nearest one hundred thousand?
8663400000
Round -6322.8569 to 0 dps.
-6323
Round -1.438522115 to 4 dps.
-1.4385
What is 1.59340488 rounded to 1 dp?
1.6
Round 2.048329 to 4 decimal places.
2.0483
Round -2017053210 to the nearest one hundred thousand.
-2017100000
What is 0.00000467190277 rounded to 7 decimal places?
0.0000047
What is -0.0066388304 rounded to 4 decimal places?
-0.0066
What is 31227762.2 rounded to the nearest ten thousand?
31230000
What is 2940932.33 rounded to the nearest one thousand?
2941000
Round -20.97047849 to the nearest integer.
-21
What is 2186.452843 rounded to the nearest 10?
2190
Round 0.2047712996 to two dps.
0.2
Round -52202004.3 to the nearest 10000.
-52200000
What is -22.9506067 rounded to 1 dp?
-23
What is 24715.7287 rounded to the nearest ten?
24720
What is 0.007271765 rounded to six dps?
0.007272
What is 3.467172555 rounded to 0 dps?
3
Round -253.97396 to one decimal place.
-254
What is 126559565 rounded to the nearest ten thousand?
126560000
What is 647.6329013 rounded to the nearest one hundred?
600
Round 200.5939119 to 2 decimal places.
200.59
Round -0.0209900105 to 5 dps.
-0.02099
What is 0.005997455 rounded to 2 dps?
0.01
Round -0.0000008553721 to 7 dps.
-0.0000009
Round -4504205.4 to the nearest one hundred thousand.
-4500000
Round -28464420.5 to the nearest one hundred thousand.
-28500000
What is 653169949 rounded to the nearest 10000?
653170000
What is -11.11373259 rounded to three dps?
-11.114
Round 0.12870264 to 3 dps.
0.129
Round -25338738.8 to the nearest one million.
-25000000
What is 0.493981903 rounded to two dps?
0.49
Round 31256.588 to the nearest 10000.
30000
Round 4269.56634 to the nearest integer.
4270
Round 0.005470868 to four dps.
0.0055
Round -314268.171 to the nearest one hundred.
-314300
Round 17210.60887 to the nearest one hundred.
17200
What is 7813.89125 rounded to the nearest one hundred?
7800
What is 6.871241 rounded to one decimal place?
6.9
What is 1092355.919 rounded to the nearest one thousand?
1092000
Round -2873111.41 to the nearest 1000.
-2873000
What is -1.025417956 rounded to four dps?
-1.0254
What is -22392405.3 rounded to the nearest 10000?
-22390000
What is -52.57188413 rounded to 2 decimal places?
-52.57
What is 102169.46888 rounded to 0 dps?
102169
Round 725792.42 to the nearest 10000.
730000
Round -0.0043830637 to three dps.
-0.004
What is -33806559.88 rounded to the nearest 1000000?
-34000000
What is 0.004528065 rounded to five decimal places?
0.00453
What is 342.213891 rounded to 2 decimal places?
342.21
What is 0.00001607601012 rounded to seven decimal places?
0.0000161
What is -0.179297868 rounded to four dps?
-0.1793
What is -1182563070 rounded to the nearest 1000000?
-1183000000
Round -1519335622 to the nearest ten thousand.
-1519340000
Round -0.0555938133 to 2 dps.
-0.06
Round -110310429300 to the ne | {
"pile_set_name": "DM Mathematics"
} |
he form r*y + f + o*y**3 + b*y**4 + z*y**2 and give z.
2
Express ((-1 + 3 + 0)*(-5 + 2 + 1) - 2 - 29 + 3)*(5*p - 2*p - 4*p) as g + n*p and give n.
32
Express 0*a**2 + 7*a**2 - 5*a**3 - 5*a**2 in the form n + k*a**3 + x*a + t*a**2 and give t.
2
Rearrange k**3 + 2 + k**3 + k**3 - 2*k**4 to the form h*k**4 + z*k**3 + n*k**2 + c + g*k and give z.
3
Rearrange 3*q**3 + 153 - 149 - q**3 to the form n*q + d + k*q**3 + o*q**2 and give d.
4
Rearrange (25*b + 7*b + 6*b + 42*b)*(b + 2*b - b) to the form h*b**2 + k + x*b and give h.
160
Rearrange -6*k + 3*k + k**3 + 2*k + k - k + 2*k**3 + (-6 + 6 + 3*k)*(-2*k**2 + 10*k - 10*k) to the form r*k**3 + d*k + y*k**2 + p and give r.
-3
Rearrange 84*l + 92*l - 7 - 178*l to z + h*l and give z.
-7
Rearrange -5*v + 22 - v**4 - 22 - v**3 + v - v**2 to the form b*v**3 + w + t*v**2 + x*v**4 + j*v and give j.
-4
Express 17*y - 7*y + 7*y in the form w + i*y and give w.
0
Rearrange (-2 + 4 - 3)*(2 - 4 + 3)*(1846*w**2 + 22*w**3 - 1846*w**2)*(3 - 3 - 2*w) to f + k*w**4 + x*w**3 + a*w + i*w**2 and give k.
44
Rearrange 5*q + 762 - 768 - q to the form w + j*q and give j.
4
Express -4*y + 0*y - 5*y in the form n + u*y and give u.
-9
Rearrange (41*o**3 + 18*o**3 + 13*o**3)*(0 - 2 + 1) to the form z*o + m*o**2 + a + w*o**3 and give w.
-72
Express 4*l**3 + 3*l**3 + 6*l**3 - 15*l**3 + 63*l as c*l**3 + o + i*l + q*l**2 and give c.
-2
Rearrange -6*h**3 - 2 - h**2 + 2 - 2 + 0 to p*h + u*h**2 + c + i*h**3 and give u.
-1
Rearrange -94 + 94 + 19*d to the form y + x*d and give y.
0
Express -15 + 22 + 0*u + 2*u**3 - 3*u**2 + 0*u - u**4 as s*u + b + m*u**2 + o*u**3 + x*u**4 and give x.
-1
Rearrange (-4 + 5 + 10)*(6 - 5 + 4)*(-a - a + 4*a + (-3 + 4 - 2)*(0*a - a + 2*a) - a - 2*a + a - 5*a + 4*a + 0*a - 1 + 1 + a) to o*a + b and give o.
-55
Rearrange 44*l**3 + l**2 - 46*l**3 - 17*l**2 to the form g*l + n*l**3 + v*l**2 + w and give v.
-16
Rearrange -3 - 2*o**4 - 15*o**3 + 15*o**3 - 4*o**2 + 5 to the form m*o**4 + q*o**3 + z*o + l + k*o**2 and give m.
-2
Rearrange (-2*q - 5 + 3 + 1)*(-51 - 31 + 20) - 2*q + 3*q - 2*q to z*q + f and give f.
62
Express 7*k - 6*k + 30*k**2 - k in the form m*k + g*k**2 + u and give m.
0
Rearrange (-6*l + 56*l - 10*l)*(0 + 2 - 3) to the form k*l + m and give k.
-40
Rearrange 3*z - 6*z - 2*z**3 - 3*z**2 + 2*z to the form h*z + t*z**2 + c*z**3 + n and give t.
-3
Rearrange 5*i - 16*i + 4*i - 7*i to the form h*i + t and give h.
-14
Express (6 - 4 - 4)*(-2 + 2 - 2*m)*(3 - 6 + 1)*(0*m + 3*m + 8*m) as k*m + r*m**2 + u and give r.
-88
Express 19 + 2*f - 18 - 13*f**2 - 2*f as o + x*f**2 + q*f and give o.
1
Express 4 - 2*o**3 - o**4 - 10 + o**3 + (0*o**4 - 2*o**4 + 0*o**4)*(-3 + 0 + 1) as j*o**2 + f + p*o**4 + i*o**3 + q*o and give p.
3
Express -15*s + 61*s - 17*s as h*s + f and give h.
29
Rearrange -5*m**3 + 4*m**3 - 28 + 21 to h*m**2 + u*m**3 + l + i*m and give l.
-7
Express 4*g**2 - g**2 + 2*g**3 - 67 + g - g**3 + 69 in the form p*g**2 + v*g + q + c*g**3 and give q.
2
Rearrange (-3*p + 0*p + 4*p)*(2*p + p - p) - 5*p - 8*p**2 + 0*p**2 + 10*p**2 to i*p**2 + w + z*p and give z.
-5
Express (-4*f**2 + 6*f**2 + 0*f**2)*(0*f - 2*f + 3*f) + 7*f**2 + 8*f**3 - 7*f**2 + f**3 + 3*f**3 - 2*f**3 as v*f**2 + y + i*f**3 + z*f and give i.
12
Rearrange -6*t + 3*t - t to r*t + m and give r.
-4
Rearrange 10 - 53 + 2*j + 15 to the form s*j + g and give g.
-28
Rearrange (11*b**3 - 35*b**3 + 40*b**3)*(-2*b - 2*b + b) to the form c*b**4 + t*b**3 + n + o*b + m*b**2 and give c.
-48
Express -u + 0*u - 2*u - 3*u**3 + 0*u**2 + u**2 in the form m*u**3 + p*u**2 + v + d*u and give p.
1
Express (10*u + 9*u - 17*u - u**2)*(-2 - 3 + 6) in the form r*u**2 + v + p*u and give p.
2
Express 18*o - 21*o - 30*o - 38*o as l + f*o and give f.
-71
Rearrange -7*l**3 - 3*l**2 + 3*l**3 + 3*l**3 + l**2 to v*l**3 + c*l**2 + w + y*l and give c.
-2
Express (3*p - 5*p + 3*p + 3)*(3 - 13 + 2) in the form y*p + a and give a.
-24
Express -t**2 + 16*t - 28 - 16*t - 2*t**2 + 3*t**2 + t**2 + (3*t + t - 5*t)*(-3*t + t + t) - t**2 + 2*t - 2*t as g*t**2 + d*t + o and give d.
0
Express 4*d**3 - 6*d + d**4 + d**2 + 12*d - 4*d**3 + 2*d**3 as g*d + o + i*d**3 + j*d**4 + r*d**2 and give g.
6
Express -169*c + 115*c + 111*c in the form v + j*c and give j.
57
Express 15 + 0*j + 6 - 15 - 2*j as i + h*j and give i.
6
Rearrange (3 - 6 + 2)*(0*z**4 + 3*z**4 - z**4 + (7 - 4*z**2 - 7)*(0*z + 0*z + 2*z**2)) to a*z + u*z**3 + k + x*z**4 + r*z**2 and give x.
6
Express -14*i**2 + 3 + 39*i**2 - 2 in the form v*i + x*i**2 + t and give x.
25
Rearrange (0*f - 5*f + 0*f)*(-2 + 1 + 2) + (0 - 3 + 2)*(0*f + 2*f - 3*f) to the form k + z*f and give z.
-4
Express -2*p**3 - 1 - p**3 + 6*p**2 - 5*p**2 in the form y*p**3 + q + j*p + l*p**2 and give y.
-3
Express 5*m**2 - 3*m + 0*m - 8*m**2 - 2 as h*m + o + l*m**2 and give o.
-2
Express 2*u - 6*u + 3*u + 0*u as r + k*u and give k.
-1
Express (-4*d + d + 2*d)*(4*d + 12 + d - 3*d) in the form o + s*d**2 + k*d and give s.
-2
Rearrange (-3*b - 3 - b**2 + 3*b)*(-4 + 3 - 1 + (0 - 1 + 18)*(2 + 1 + 0)) to i*b**2 + s + m*b and give i.
-49
Rearrange 3*w**4 - w + 0 + 1 - 6*w**4 - 5*w**2 + w**4 to v*w**3 + d*w + o*w**2 + f*w**4 + r and give d.
-1
Rearrange (2 - 2*z**2 - 2)*(-3 + 2*z + 3) + (z**2 - z**2 - 2*z**3)*(14 + 3 + 15) to n*z**3 + b*z + i*z**2 + g and give b.
0
Rearrange 295 - 294 - 2*m - 20*m**2 - 11*m**2 to the form t*m + d*m**2 + w and give t.
-2
Rearrange 7*z**2 - 5*z**2 + 14*z**3 + 2*z + 12*z**3 - 6*z**3 to x*z + a + o*z**3 + d*z**2 and give x.
2
Express (-2 - 1 + 5)*(11 - 11 + 3*s)*(18*s - 8*s - 1 - 8*s) in the form u*s**2 + w*s + a and give u.
12
Rearrange -w + w + w**2 + (-1 - 1 + 1)*(-w**2 - 2*w**2 + 2*w**2) + 46 - 46 - 20*w**2 - 5*w**2 + 4*w**2 + 2*w**2 to the form k*w + v + l*w**2 and give l.
-17
Rearrange 5*q**2 + 2*q**3 + 4*q**3 - 2*q**3 - 2*q**2 to the form d*q**2 + a*q + f*q**3 + g and give d.
3
Express 6*m - 7*m - 2*m**4 - 5 + m**3 + m**4 as q*m**2 + o*m**4 + v*m + t + j*m**3 and give v.
-1
Rearrange ((-2*i + 2*i + 3*i)*(-i - 3 + 3) + 2*i**2 - 3*i**2 + 2*i**2)*(-4*i - 3 - 7 + 12) to u + j*i**2 + h*i**3 + d*i and give h.
8
Rearrange -8*c**2 - c + 0*c**4 - c**4 + 5*c**2 to x*c + k*c**3 + v*c**4 + i*c**2 + f and give x.
-1
Express 4*t**3 + 3*t**3 - 3*t**4 + 1 - 3*t**3 - t**2 - t**3 in the form h*t**3 + r + d*t**4 + c*t**2 + q*t and give h.
3
Rearrange -z**2 - 8*z + 14*z + 2*z to i + r*z + h*z**2 and give h.
-1
Rearrange -15*a**3 + 23 - 23 + (-a**2 + 3*a**2 - 4*a**2)*(a - a - 2*a) + 2*a**2 - a**3 - 2*a**2 to q + v*a + u*a**2 + k*a**3 and give k.
-12
Rearrange (o**2 + o**2 - 3*o**2)*(-6*o**2 + 15*o**2 - o**2)*(-1 + 0 + 3) to the form t*o**2 + p*o**4 + m + a*o**3 + i*o and give p.
-16
Express ((0*l + 0*l - 3*l)*(3 - 2 + 2) + 3*l - 4*l + 0*l)*(-l + 0 + 0) in the form m*l + k*l**2 + f and give k.
10
Express -1558 + 1558 - 2*i**2 - 2*i as l + n*i**2 + p*i and give p.
-2
Rearrange 0*q - 6*q + 4*q - 8*q**3 to n*q**3 + a*q**2 + x + l*q and give n.
-8
Express (-3*i**3 + i**3 + 3*i**3)*(3 + 2 - 3)*(0 - 2*i - 2 + 3*i) as t*i**3 + r*i**4 + c*i**2 + x + v*i and give r.
2
Express 5*b**2 - 4*b**3 + 1 - 8*b**4 - 5*b**2 + 6*b**4 in the form z*b**2 + a + t*b + d*b**4 + v*b**3 and give v.
-4
Express (-1058 + 1058 + 424*q)*(-5*q + 3*q + 0*q) in the form b + g*q**2 + t*q and give g.
-848
Rearrange 2*y - 10*y + 4*y to q + p*y and give p.
-4
Express ((-5*u + 4*u + 2*u)*(-4 - 1 + 3) + (3*u + 3*u - 4*u)*(0 + 3 + 0))*(-323 + 323 + 24*u**2)*(1 - 2 + 3) in the form k*u + f + h*u**2 + o*u**3 and give h.
0
Express 24*q + 1305 - 1305 in the form g + o*q and give o.
24
Rearrange -1 + 13*s - 25*s + 16*s to the form q*s + f and give f.
-1
Express (-n**2 - 21 + 21)*(-1 + 6 - 3)*(-3*n + 5*n - 4*n) in the form m*n**3 + k*n**2 + s + d*n and give m.
4
Express -7*l**3 - 1 + 46*l**2 - 44*l**2 + 2*l**3 in the form r*l**3 + c + t*l + m*l**2 and give m.
2
Rearrange o - 4*o**4 - 2*o**3 - 8*o**2 + 3*o**4 - 2*o + 6*o**2 to the form w*o**4 + a*o**3 + l*o**2 + v*o + g and give w.
-1
Rearrange -43*i**2 - 4*i + 36*i**2 + 3*i to the form g*i**2 + u + d*i and give u.
0
Express 2*o**4 + 6737*o**3 - 6737*o**3 - 4*o**2 + 2*o as z*o**3 + q + j*o**2 + y*o + x*o**4 and give x.
2
Express 5*b**3 - 2*b**3 - 3*b**3 + b + 1 + 6*b**3 in the form h*b + x*b**3 + i + q*b**2 and give i.
1
Express (-3 + 0 + 1)*((-1 + 1 + 2*g | {
"pile_set_name": "DM Mathematics"
} |
5, 43, -4, 5, -14, 9, 4 in ascending order.
-14, -5, -4, 4, 5, 9, 43
Sort -753, -2, 5, 4, -1259 in descending order.
5, 4, -2, -753, -1259
Sort 0.6, 18, -3, -0.0219, 0.5 in descending order.
18, 0.6, 0.5, -0.0219, -3
Put 6, 0, 18, -4, 85, -60 in descending order.
85, 18, 6, 0, -4, -60
Put -194, -2, -440, -1 in descending order.
-1, -2, -194, -440
Put -28, 85, 4, -1094, -3 in ascending order.
-1094, -28, -3, 4, 85
Put 577, 0, 37, -5, 6, 2, -8 in increasing order.
-8, -5, 0, 2, 6, 37, 577
Sort -318, 76, -37 in descending order.
76, -37, -318
Put -356, 6, 4136, -1, 4 in decreasing order.
4136, 6, 4, -1, -356
Put -1/5, 3/4, -2, -6, -1.1, 2/51 in increasing order.
-6, -2, -1.1, -1/5, 2/51, 3/4
Sort -75, 3, -5, 9, -2, 5, 0 in descending order.
9, 5, 3, 0, -2, -5, -75
Put -1, -2, 12, -401, -30, 0 in decreasing order.
12, 0, -1, -2, -30, -401
Sort 4, 187, 10735.
4, 187, 10735
Sort 537, 2249, -1 in decreasing order.
2249, 537, -1
Put -1/3, 0.36, 12823 in descending order.
12823, 0.36, -1/3
Sort 5, -1467767, 4 in descending order.
5, 4, -1467767
Sort 6, -2, -22, 0, 10, -8, -41.
-41, -22, -8, -2, 0, 6, 10
Sort 20, 0, 11640, 15, 1/2, -0.4 in descending order.
11640, 20, 15, 1/2, 0, -0.4
Sort 15634, 4, 61 in descending order.
15634, 61, 4
Put 1594.86, 0, 1/5 in ascending order.
0, 1/5, 1594.86
Sort 7085, 2, -20, 3, 41.
-20, 2, 3, 41, 7085
Sort -9, 906116, -5 in ascending order.
-9, -5, 906116
Put 99787.14, 0.3, 5 in decreasing order.
99787.14, 5, 0.3
Sort -4, 1, -6, -11, 2, -17, -5 in decreasing order.
2, 1, -4, -5, -6, -11, -17
Sort -69, 3, 10407, -3.
-69, -3, 3, 10407
Put 4, 70, -5, 880, 25 in ascending order.
-5, 4, 25, 70, 880
Sort -15, -3374, -74, -5, -2.
-3374, -74, -15, -5, -2
Put -2, 12, -5, 167, -0.3, 239 in descending order.
239, 167, 12, -0.3, -2, -5
Sort -2, -3/2, 5, -78, 5/18, 2, 3/2 in descending order.
5, 2, 3/2, 5/18, -3/2, -2, -78
Sort -94, -1, 3, 5, -123276 in descending order.
5, 3, -1, -94, -123276
Put 1, 7/443, -1, 2477 in descending order.
2477, 1, 7/443, -1
Put -3, -6, -2, 2, -45, -151 in descending order.
2, -2, -3, -6, -45, -151
Put 5, 8, 1, -197, 2, -1, -14 in decreasing order.
8, 5, 2, 1, -1, -14, -197
Sort 5, 9, -1, 124, 581.
-1, 5, 9, 124, 581
Sort 2, 1, -1, 6502, 16, 12 in descending order.
6502, 16, 12, 2, 1, -1
Put 76, 0, -3, 1, -0.5, 4, -0.028 in increasing order.
-3, -0.5, -0.028, 0, 1, 4, 76
Put 2, -4/7, 18, 5, 29.8, -4 in descending order.
29.8, 18, 5, 2, -4/7, -4
Put 112, -2/15, -5, 7/320, 2/19 in descending order.
112, 2/19, 7/320, -2/15, -5
Put -0.4, 3226, -8/3, -11 in descending order.
3226, -0.4, -8/3, -11
Put -3, 5, 1, -587, 4, -36, -1 in ascending order.
-587, -36, -3, -1, 1, 4, 5
Sort -582, -5, 1, 573, -6 in increasing order.
-582, -6, -5, 1, 573
Put -2, -5, -10, -3, 217, -8, 3 in increasing order.
-10, -8, -5, -3, -2, 3, 217
Put -101295, 7, 1 in decreasing order.
7, 1, -101295
Sort -2/9, 1, 0.2, -1.276, 6/11 in descending order.
1, 6/11, 0.2, -2/9, -1.276
Put 168, 162, 12, 2, -2 in decreasing order.
168, 162, 12, 2, -2
Put -8, 2, 617, -15, -3, 4 in descending order.
617, 4, 2, -3, -8, -15
Sort 995, -1.4, 66, -12.
-12, -1.4, 66, 995
Sort 5, 6, -12, 1331480 in decreasing order.
1331480, 6, 5, -12
Sort 18/13, 2, 4, -19869, 9 in descending order.
9, 4, 2, 18/13, -19869
Sort 0.2, -2/7, 0, 16066/7 in decreasing order.
16066/7, 0.2, 0, -2/7
Sort -25, 4, -3, 140, 7, 15 in decreasing order.
140, 15, 7, 4, -3, -25
Sort -49, -3, -5, 4, 160, 10 in decreasing order.
160, 10, 4, -3, -5, -49
Sort 3, -7, -58927 in descending order.
3, -7, -58927
Put 89, -4, 5, -2, 1171, -3 in increasing order.
-4, -3, -2, 5, 89, 1171
Put 1, -1118, 5717 in descending order.
5717, 1, -1118
Put 500, -7, -4, -1, -12, -5 in decreasing order.
500, -1, -4, -5, -7, -12
Sort 2.2, -77, -29, -2/3, 0, 15 in descending order.
15, 2.2, 0, -2/3, -29, -77
Put -43, -10, 693, 41, 4 in ascending order.
-43, -10, 4, 41, 693
Put -0.52, 0.2, 0.10067, -71 in decreasing order.
0.2, 0.10067, -0.52, -71
Sort 4, 18, -74, 132, -2.
-74, -2, 4, 18, 132
Put -27962, -6, -20 in ascending order.
-27962, -20, -6
Sort 1, 5, 6, 393719, -4 in decreasing order.
393719, 6, 5, 1, -4
Put -0.7, -20443, -4, -2/3, -7 in descending order.
-2/3, -0.7, -4, -7, -20443
Put 6, 2, 31, 5, 65, 2/7 in decreasing order.
65, 31, 6, 5, 2, 2/7
Put 0, -3, -1, 2631 in decreasing order.
2631, 0, -1, -3
Put 5, 52, -4, 3, 0, -16 in increasing order.
-16, -4, 0, 3, 5, 52
Put -4, -177, -26, 272, 13 in decreasing order.
272, 13, -4, -26, -177
Put 3, -22387646, 5 in decreasing order.
5, 3, -22387646
Put -4, 38384, -1.3, 2.3 in decreasing order.
38384, 2.3, -1.3, -4
Sort -5, -2, -3, -11, 811, 11, 17 in increasing order.
-11, -5, -3, -2, 11, 17, 811
Put 2399, -6243, -4 in decreasing order.
2399, -4, -6243
Sort 6, -9, 5, 4, 32 in increasing order.
-9, 4, 5, 6, 32
Sort -3, 0, -60, 7, 2, -22, -2 in descending order.
7, 2, 0, -2, -3, -22, -60
Sort -5.93, -32, -2/3, -1/7, 1.
-32, -5.93, -2/3, -1/7, 1
Put 45, -23927, 5 in decreasing order.
45, 5, -23927
Sort 1, 5, -0.1, -3/1772, 28 in descending order.
28, 5, 1, -3/1772, -0.1
Sort 5, -20, 4, 0, -8, 90, -1.
-20, -8, -1, 0, 4, 5, 90
Put -86, 5/1683, -2/9 in decreasing order.
5/1683, -2/9, -86
Put 4, -8528, -3, 421 in descending order.
421, 4, -3, -8528
Put -6, -327, 4, 1136, 0, -4 in ascending order.
-327, -6, -4, 0, 4, 1136
Sort 1, -80, 455, 2, 5.
-80, 1, 2, 5, 455
Sort -14, 5, 1, -250, -5, 12 in increasing order.
-250, -14, -5, 1, 5, 12
Sort 0, -13198, 4, 7, -4, 5.
-13198, -4, 0, 4, 5, 7
Put -4, -1, 1, 14, 9, -390 in decreasing order.
14, 9, 1, -1, -4, -390
Put 15, -449, 2068, -1 in descending order.
2068, 15, -1, -449
Put -73, 49706, -14 in descending order.
49706, -14, -73
Sort -0.1, -36, -5919, 0.5, -1/9 in descending order.
0.5, -0.1, -1/9, -36, -5919
Sort 233, -5, 4, -24, 913.
-24, -5, 4, 233, 913
Sort -4, 451/26757, -2 in descending order.
451/26757, -2, -4
Sort -1631, 1631, 0, 0.1.
-1631, 0, 0.1, 1631
Put -12, 38, 7767/5, -0.1 in ascending order.
-12, -0.1, 38, 7767/5
Sort -3, 7897, 13, -2, 4 in increasing order.
-3, -2, 4, 13, 7897
Sort -5766, -1, 3332, 3.
-5766, -1, 3, 3332
Sort 66, 0.1, 3/8, 1/3, -2/19111 in ascending order.
-2/19111, 0.1, 1/3, 3/8, 66
Put -77, -2, -32, 365, -4 in decreasing order.
365, -2, -4, -32, -77
Put 7, -7439, 38 in increasing order.
-7439, 7, 38
Put -1, -51757, 2, 23 in decreasing order.
23, 2, -1, -51757
Sort 5, -20, 0.1, -4/17, -216/7 in decreasing order.
5, 0.1, -4/17, -20, -216/7
Sort 0.4, 0.3, -22464, -2.35, -0.3 in descending order.
0.4, 0.3, -0.3, -2.35, -22464
Sort 16, -124031, -5, 5.
-124031, -5, 5, 16
Put -109, 1, -144, -40, 2 in decreasing order.
2, 1, -40, -109, -144
Put -63, 4, 133695, 2, -5 in descending order.
133695, 4, 2, -5, -63
Sort -0.3, 0.022, 0.95, 0, -459.
-459, -0.3, 0, 0.022, 0.95
Put 50, 1136, 0, -7 in ascending order.
-7, 0, 50, 1136
Sort -2, 0, -4, -82, -73, -5 in decreasing order.
0, -2, -4, -5, -73, -82
Sort 1, 5, 10963869 in ascending order.
1, 5, 10963869
Sort -0.0417, -1108, -2.7 in decreasing order.
-0.0417, -2.7, -1108
Put -5, 5, 38, -95, 4, -4 in ascending order.
-95, -5, -4, 4, 5, 38
Sort -59, 5, -48, -46 in descending order.
5, -46, -48, -59
Sort 9, 13, -1, -155, 45, 4.
-155, -1, 4, 9, 13, 45
Sort -1, -3767, -70841 in descending order.
-1, -3767, -70841
Put 348, 1, 3, 0, 5583 in descending order.
5583, 348, 3, 1, 0
Put -22, -13, 16, 51, -1 in ascending order.
-22, -13, -1, 16, 51
Put -4, 5, -1822, -2, 62, -1 in ascending order.
-1822, -4, -2, -1, 5, 62
Put 2, -1, -12, -2, -5, 5, -144 in increasing order.
-144, -12, -5, -2, -1, 2, 5
Put 690, 199, -7 in ascending order.
-7, 199, 690
Put 10, -20, -6, -7, -3 in decreasing order.
10, -3, -6, -7, -20
Put 5, -53, -2, 6, 164, 2, -5 in increasing order.
-53, -5, -2, 2, 5, 6, 164
Put -344, 3.99, -0.03, 3, -0.2 in increasing order.
-344, -0.2, -0.03, 3, 3.99
Sort 4, 199, -5, -3, -0.78 in increasing order.
-5, -3, -0.78, 4, 199
Sort 20, 1.28, 0.5, -152, -2/3 in increasing order.
-152, -2/3, 0.5, 1.28, 20
Sort -2/3, -6, 4, -9, 0.5, 120 in descending order.
120, 4, 0.5, -2/3, -6, -9
Sort 0, -271719, 178 in increasing order.
-271719, 0, 178
Put 5, -610, -2, 4, -65, -4, 6 in ascending order.
-610, -65, -4, -2, 4, 5, 6
Put -2, 2, -8, -5, 10, 1, 58 in decreasi | {
"pile_set_name": "DM Mathematics"
} |
ite?
True
Let x(a) = 159*a**3 - 6*a + 1. Let n(r) = -161*r**3 + 5*r - 1. Let l(s) = -4*n(s) - 3*x(s). Let y = 6 + -5. Is l(y) a composite number?
True
Let q(x) = x**3 - 6*x**2 + 2*x - 10. Let d be q(6). Is ((-1 + 2)*d)/((-6)/(-1905)) a prime number?
False
Suppose 0 = 2*d - 3*d + 9. Let h(t) be the first derivative of t**3/3 + t**2/2 + 13*t + 6. Is h(d) composite?
False
Let m(n) = -n**3 - 16*n**2 + 4*n + 42. Let l be m(-13). Let y = l + 824. Is y composite?
False
Let b(w) = 2*w**2 - 4*w - 8. Let x be b(-4). Suppose 0 = -v + x + 9. Is v a composite number?
True
Suppose 2*b = 3*b - 1750. Let r = b + -707. Is r a prime number?
False
Let k(x) = -14*x**3 + 3*x + 1. Let o be k(-3). Suppose -11*w = -9*w - o. Is w a prime number?
False
Suppose -691 = -2*p + 341. Suppose 2*z = 290 + p. Is z a composite number?
True
Suppose 7*m - 2671 = 7192. Is m composite?
False
Let x be ((-2)/(-2))/(22/6270). Suppose -t + x = -2*n, -4*t = 5*n - 527 - 665. Is t prime?
True
Let d be (2 + (-40)/14)/((-27)/126). Suppose 5*f + 249 - 689 = 0. Suppose -f = -d*u + 276. Is u a prime number?
False
Let n(t) = 5*t**2 + 10*t + 7. Suppose 0 = 3*g + 16 + 2. Let b be g/5*(15 - 10). Is n(b) prime?
True
Let d(l) = 3875*l**2 - l - 1. Is d(1) a prime number?
False
Let y = -944 - -1993. Is y composite?
False
Suppose 0 = -4*q - 0*q + 4*p + 924, -q = 5*p - 231. Let v = q - 86. Is v a composite number?
True
Is -5 - (-84)/15 - (-135048)/20 prime?
False
Suppose 30*i - 300880 = 29930. Is i composite?
False
Suppose 5 + 0 = -5*p. Is -2 + p/(4/(-228)) composite?
True
Let o be (4/3)/(18/(-81)). Let k = 9 + o. Suppose k*p + p - 316 = 0. Is p prime?
True
Suppose -203*x + 823437 = -194*x. Is x a composite number?
False
Suppose 0 = -3*p + 6*p - 855. Suppose -55*h + 60*h + 630 = 0. Let q = h + p. Is q a composite number?
True
Suppose -5*u = -3*u. Suppose f - b + 11 = 5*f, 4*f - 4*b - 16 = u. Suppose l + f*l = 524. Is l prime?
True
Let v = 2458 - 1292. Let z = v - 781. Is 1/(4/(z + 3)) a composite number?
False
Suppose 2*j = r + 3150 + 4773, -5*r = j - 3934. Is j a composite number?
True
Suppose -14*d + 762540 = 46*d. Is d prime?
False
Suppose -201232 = 54*k - 70*k. Is k composite?
False
Suppose -a = -3*v - 5*a - 3725, -2490 = 2*v - 4*a. Suppose 6 = -2*i + 5*i. Is (-4)/i*v/22 composite?
False
Let q be (-2)/(-3) - 17/3. Let l be ((-740)/(-25))/((-1)/q). Is (3 - 0)/(6/l) composite?
True
Suppose -20 = -2*b - 6. Suppose 0 = -11*m + b*m + 12. Suppose -x + m*n + 2117 = -n, -4*x - 5*n = -8405. Is x a composite number?
True
Suppose 3*m + 3*a - 1218 = 0, -2*a + 411 = m - 0*a. Is m composite?
False
Let j = 32 - 38. Let g(m) = -6*m**3 - 7*m**2 - 9*m - 1. Is g(j) a composite number?
False
Suppose 4*u + 1959 = c - 0*u, -7920 = -4*c - 5*u. Suppose z - 2*a = a + 992, -3*a - c = -2*z. Is z a composite number?
False
Let w(g) be the second derivative of g**5/20 - 3*g**4/4 - 2*g**3/3 + 7*g**2 + 4*g. Let x be w(10). Is (1 - x)/(6/(-18)) composite?
True
Suppose -2*c = 4*u + 21 - 81, 4*c + u = 120. Is ((-5)/(c/(-1146)))/((-2)/(-2)) a prime number?
True
Let s = 281 + -111. Suppose u - 5*c - s = 869, 2092 = 2*u - 3*c. Is u composite?
False
Let v(l) = l**3 + l**2 + 2*l. Let n be v(0). Suppose -3*s - s - 12 = 0, n = b - 3*s - 12. Suppose b*w - 99 = 240. Is w prime?
True
Let w(y) = y**2 - 7*y - 5. Let x be w(9). Let d = 15 - x. Suppose -d*u - 84 = -4*r, -3*u - 48 = 5*r - 164. Is r prime?
False
Suppose 0 = -2*b + 5*p - 22, -21 = 4*b + b - 4*p. Let h = -1 - b. Let d(c) = c**3 + c**2 + c + 113. Is d(h) a prime number?
True
Suppose -5*n + 201 = -4*o + 71, 2*o = 3*n - 80. Suppose -6*d = -d - n. Let h = d - -4. Is h a composite number?
True
Let n(c) = -c**3 + 3*c**2 + 6*c + 6. Suppose -3*k + 15 = -0. Let u be n(k). Is 43/(1/u*-2) a prime number?
False
Let l(f) = f**2 + 33*f - 137. Is l(-41) a prime number?
True
Let t be (-25246)/(-10) + (-4)/(-10). Suppose -h + 2*m = -t, 5*h + 2*m - 12611 = 5*m. Is h a composite number?
False
Suppose t + 3*t + 132 = 0. Let z = 614 + t. Is z a prime number?
False
Suppose 7*d + 15 = 6*d. Let c be (-55)/d - (-2)/6. Suppose -123 = -h - m + 4*m, -c*m = 0. Is h prime?
False
Let y(l) = -l**2 + 2*l + 3. Let f be y(3). Suppose 4*u + 3*a - 4573 = 0, -2*a - a + 9 = f. Is u prime?
False
Let q = 1355 + -673. Suppose q = 4*h + c, 0 = -h + c - 36 + 204. Suppose -v = -1149 + h. Is v composite?
True
Suppose a + 2 = k, 0*a - 4*a + 2*k = 12. Let c(m) = -m**3 - 3*m**2 + 4*m + 4. Let r be c(a). Suppose 0*x - 3*x = -3*o + 369, -r*x = -3*o + 374. Is o prime?
False
Suppose 0 = -17*q - 151338 + 602705. Is q a composite number?
True
Suppose 223 = 2*s - 531. Let m = s + 1094. Is m a composite number?
False
Suppose -2*i = 2*j - 566 + 3110, 4*i + 5083 = -5*j. Let q = 1950 + i. Is q composite?
False
Suppose -2*w - 2*w = -996. Suppose 7*g = -w + 4036. Is g composite?
False
Let s(n) = -9*n**2 + 10*n + 20. Suppose -2*r = -2*l + 11 + 1, r + 11 = 2*l. Let w(d) = -d**2 + 1. Let k(o) = r*s(o) + 6*w(o). Is k(-7) a prime number?
False
Suppose 3*a + 10*r - 449242 = 15*r, -3*a + 449245 = -2*r. Is a composite?
False
Let j = 339329 - 207282. Is j composite?
False
Let j(w) = -1 + 5 + 22*w**2 - 1. Suppose 0 = -2*m - 5*i + 11, 4*m + 3*i = 5*i - 14. Is j(m) composite?
True
Suppose -41034 = 21*u - 35*u. Is u a prime number?
False
Let y(a) = -a**3 + 7*a**2 - 3*a - 15. Let j be y(6). Let u(p) = 299*p + 10. Is u(j) a prime number?
True
Suppose -11*x = -5*x. Is (-2 - x)*2456/(-16) composite?
False
Suppose 0 = s + 2*w, 5*s + 9 = w - 2*w. Suppose -3*k = -24 - 6. Is k + (s - 15/(-3)) composite?
False
Suppose -9745 = l + 2*c, 0*l - 3*c = -2*l - 19518. Is l/6*(1 - 6/2) prime?
True
Let k(m) = m**2 - 15*m + 4. Let h be k(15). Suppose -2*l = -6*l - h*y - 360, 0 = -4*l + y - 340. Let i = l - -573. Is i composite?
False
Let g(d) = -14*d**2 + 5*d + 4. Let v be g(-1). Let t = v - -29. Is (-36)/(-84) + 2500/t a composite number?
False
Is -4 + (-210)/(-55) - 31671/(-11) a prime number?
True
Let g(q) = 641*q + 49. Is g(12) a composite number?
False
Let z be -4 + 268 + 4 + -2 + 4. Let y = 6 + -4. Suppose y*w = 308 + z. Is w a prime number?
False
Let v be (16*26)/(42/(-12) + 3). Let u = -339 - v. Is u a composite number?
True
Is -1 + (4 - (2 + -17781)) - -1 a prime number?
True
Let n(g) = 2*g + 6. Let d be n(-7). Let c = -9 - d. Is (10*c)/(4/(-74)) composite?
True
Is (8*8/(-160))/((-2)/10645) composite?
False
Suppose m - 9647 = 29*r - 27*r, -38636 = -4*m - 4*r. Is m prime?
False
Suppose -4*d + 4 = -3*d. Let b be -1 + 2 + -7 + d. Let t = 0 - b. Is t a prime number?
True
Let s be 4/14 - (0 - 19/7). Suppose 3*m - 7*m = -2*d - 720, -901 = -5*m + s*d. Is m prime?
True
Let d(m) = 168*m - 22. Let j be d(4). Let u = 1551 - j. Is u a prime number?
False
Let q(k) = -k - 1. Let z be q(-7). Suppose -z*p + 19 = -5. Let n(c) = c**2 - c + 1. Is n(p) prime?
True
Let a be ((-19)/38)/((-1)/174). Suppose -a = 3*f - 714. Is f prime?
False
Let i(x) = 3*x**2 - 6*x + 3. Let r be i(6). Suppose -2*z = l - 195, 0 = l - z - r - 114. Is l a prime number?
True
Is ((-28774)/(-3))/((-4)/(-6)) a composite number?
False
Suppose -i + 5*d + 729 = 0, d = -i + 509 + 226. Is i a composite number?
True
Suppose 2*v = 8*v - 12. Suppose 2*a = -v*m - 3*a - 29, 5*a = -25. Is 1 - ((-1 - m) + -14) prime?
False
Suppose -3*r + 1409 - 410 = 0. Suppose -4*c = 4*w + 324, -4*w + 4*c + c = r. Let s = -17 - w. Is s composite?
True
Suppose -67368 + 348 = -5*l. Suppose -7*h - l = -19*h. Is h composite?
False
Let i = -10924 + 17195. Is i a prime number?
True
Let s(x) = 2*x + 16. Let g be s(-14). Is (-9352)/(-6) + (-4)/g composite?
False
Let b(s) be the second derivative of 14*s**4/3 - 11*s**3/6 + 4*s**2 - 6*s. Let v be b(7). Suppose 6*q - v = q. Is q a prime number?
False
Suppose -2*y = -3*i + 14 + 9, -2*i + 10 = -y. Is 97*(-4)/y*4 a composite number?
False
Let u(j) = 62*j**2 - 2. Let q be u(3). Let w be -5 + 3 + -2*(-10)/4. Suppose r = -w*r + q. Is r prime?
True
Let i(x) be the second derivative of 259*x**4/12 - x**3/6 + x**2/2 - 9*x. Is i(1) a composite number?
True
Let g = -12 - -12. Let x(h) = h**2 + 4. Let i be x(g). Suppose 0 = -5*o, -y + 0*o = i*o - 23. Is y composite?
False
Let k be (15/(-25))/1 - (-5376)/10. Suppose 0 = 2*w - k - 3769. Is w composite?
False
Let j(x) be the third derivative of -5/12*x**4 + 0 - 11/ | {
"pile_set_name": "DM Mathematics"
} |
ence bbbe when four letters picked without replacement from {e: 10, b: 4}.
10/1001
Two letters picked without replacement from {f: 4, r: 8, e: 2}. Give prob of sequence fe.
4/91
Four letters picked without replacement from {i: 11, s: 2}. What is prob of sequence iiii?
6/13
Two letters picked without replacement from {j: 16, w: 2}. What is prob of sequence wj?
16/153
Two letters picked without replacement from {s: 9, k: 10}. What is prob of sequence ks?
5/19
What is prob of sequence eyey when four letters picked without replacement from owywgeye?
1/420
Calculate prob of sequence yw when two letters picked without replacement from iwiiyyyyyyyiiiyyyii.
5/171
Two letters picked without replacement from {c: 1, a: 2, z: 1, q: 1, w: 2}. What is prob of sequence cq?
1/42
Two letters picked without replacement from mtvtmtmtettvvmmttm. Give prob of sequence te.
4/153
Three letters picked without replacement from hqmmmhmmmmmqmm. Give prob of sequence mhq.
5/273
Two letters picked without replacement from {u: 9, a: 2, j: 2}. What is prob of sequence au?
3/26
What is prob of sequence hhx when three letters picked without replacement from {p: 1, x: 1, c: 3, h: 7}?
7/220
Two letters picked without replacement from srssjssssr. Give prob of sequence jr.
1/45
Four letters picked without replacement from {b: 3, f: 5}. What is prob of sequence ffbf?
3/28
Calculate prob of sequence vv when two letters picked without replacement from {q: 1, v: 4, l: 3}.
3/14
Two letters picked without replacement from kkhnnhsskknr. What is prob of sequence rh?
1/66
Calculate prob of sequence kcs when three letters picked without replacement from cmkkkckmkmsmskmskkk.
3/323
Calculate prob of sequence xbv when three letters picked without replacement from {t: 1, l: 1, x: 2, v: 11, b: 4}.
44/2907
Calculate prob of sequence dxd when three letters picked without replacement from {d: 5, x: 2}.
4/21
Two letters picked without replacement from {b: 3, c: 7, u: 1, l: 2, m: 1}. Give prob of sequence cc.
3/13
Calculate prob of sequence lk when two letters picked without replacement from {b: 4, k: 2, l: 1, a: 1, q: 1}.
1/36
What is prob of sequence qytt when four letters picked without replacement from tqetqqtqcqqqqyyqt?
9/2380
Two letters picked without replacement from hyddhxxxddjydd. What is prob of sequence xy?
3/91
Calculate prob of sequence puk when three letters picked without replacement from {u: 1, t: 2, k: 1, p: 1}.
1/60
What is prob of sequence lii when three letters picked without replacement from liliiiiiiiiii?
5/39
Three letters picked without replacement from {k: 1, f: 11}. What is prob of sequence fff?
3/4
Two letters picked without replacement from {g: 1, x: 1, y: 1, c: 1, m: 1}. Give prob of sequence cm.
1/20
Two letters picked without replacement from muoxxmmpoqxm. Give prob of sequence mo.
2/33
What is prob of sequence uuqa when four letters picked without replacement from {u: 8, a: 10, q: 1}?
35/5814
Calculate prob of sequence ww when two letters picked without replacement from owoouououww.
3/55
Four letters picked without replacement from nwonwwonnnwwo. What is prob of sequence nnnw?
5/286
Calculate prob of sequence aap when three letters picked without replacement from appaatpiahiitppipw.
1/68
What is prob of sequence vr when two letters picked without replacement from {o: 4, r: 3, s: 6, v: 1}?
3/182
Four letters picked without replacement from qzdgg. What is prob of sequence gdqg?
1/60
Three letters picked without replacement from qqeqqqeqwwlewemlqm. Give prob of sequence mlw.
1/408
What is prob of sequence xhxj when four letters picked without replacement from {j: 1, y: 3, n: 1, h: 2, x: 3}?
1/420
Calculate prob of sequence iyf when three letters picked without replacement from {z: 1, i: 2, f: 1, u: 1, x: 2, y: 2}.
1/126
What is prob of sequence ih when two letters picked without replacement from {i: 1, y: 1, h: 1}?
1/6
Four letters picked without replacement from xllllllx. What is prob of sequence llxl?
1/7
Four letters picked without replacement from {k: 3, g: 1, q: 1, i: 3, a: 3}. What is prob of sequence kqgi?
1/880
Calculate prob of sequence iiai when four letters picked without replacement from {a: 3, i: 3, m: 5}.
1/440
Two letters picked without replacement from eehhethhheht. Give prob of sequence ht.
1/11
Calculate prob of sequence rz when two letters picked without replacement from {r: 2, l: 1, x: 3, z: 1, c: 6}.
1/78
Calculate prob of sequence ma when two letters picked without replacement from {m: 1, a: 4, k: 4, y: 4, w: 3}.
1/60
Calculate prob of sequence llll when four letters picked without replacement from {l: 1, d: 7}.
0
Two letters picked without replacement from hvvvbjj. Give prob of sequence jh.
1/21
Calculate prob of sequence kbrk when four letters picked without replacement from {n: 1, e: 2, b: 2, k: 1, r: 4}.
0
Four letters picked without replacement from yqcvtov. What is prob of sequence tovv?
1/420
What is prob of sequence br when two letters picked without replacement from rkkbose?
1/42
Four letters picked without replacement from yphybhqqhpbe. Give prob of sequence eyby.
1/2970
Four letters picked without replacement from yyqxdydy. Give prob of sequence ydqy.
1/70
Two letters picked without replacement from mahmu. Give prob of sequence hm.
1/10
Four letters picked without replacement from qeechehhtennhec. Give prob of sequence nhqt.
1/4095
Calculate prob of sequence pl when two letters picked without replacement from chlpcccpm.
1/36
What is prob of sequence ccjj when four letters picked without replacement from hjjcjwxwwjjj?
0
Calculate prob of sequence tzyz when four letters picked without replacement from {t: 5, z: 6, h: 3, y: 3}.
15/1904
Four letters picked without replacement from {e: 1, w: 3, t: 3, m: 1, z: 2, h: 9}. Give prob of sequence tzhe.
3/5168
Three letters picked without replacement from zzzzzdjzzzxxz. Give prob of sequence jdz.
3/572
What is prob of sequence jk when two letters picked without replacement from {r: 2, k: 13, j: 1, d: 3}?
13/342
Three letters picked without replacement from {q: 2, c: 2, l: 2, y: 11, k: 1, z: 1}. Give prob of sequence kly.
11/2907
What is prob of sequence ro when two letters picked without replacement from {o: 3, n: 5, z: 1, d: 2, p: 3, r: 1}?
1/70
Two letters picked without replacement from mmmiddmmdmdmm. Give prob of sequence mm.
14/39
Two letters picked without replacement from {d: 6, j: 2, c: 7}. Give prob of sequence cj.
1/15
Four letters picked without replacement from {q: 3, w: 6, j: 1, r: 1, l: 2, k: 2}. Give prob of sequence lrqk.
1/2730
What is prob of sequence vqv when three letters picked without replacement from {v: 5, t: 1, q: 1, e: 2, c: 3}?
1/66
Four letters picked without replacement from ttkttttttttt. Give prob of sequence tktt.
1/12
Two letters picked without replacement from erejerqqqeqggg. What is prob of sequence gg?
3/91
Calculate prob of sequence ni when two letters picked without replacement from {n: 5, i: 2, v: 8}.
1/21
Four letters picked without replacement from {e: 7, g: 2, w: 9}. What is prob of sequence ewww?
49/1020
Four letters picked without replacement from ffuumfakffu. Give prob of sequence kffu.
1/132
Three letters picked without replacement from jpjzxxnnrrnrxp. Give prob of sequence rxx.
3/364
What is prob of sequence eee when three letters picked without replacement from eeeennn?
4/35
Calculate prob of sequence nmr when three letters picked without replacement from {v: 2, m: 1, k: 4, r: 2, h: 2, n: 1}.
1/660
Three letters picked without replacement from yeyiyqiqkq. What is prob of sequence iqy?
1/40
Three letters picked without replacement from yklpykwttwlyll. Give prob of sequence tky.
1/182
What is prob of sequence aa when two letters picked without replacement from uuuaa?
1/10
Two letters picked without replacement from {d: 1, n: 2, l: 4}. Give prob of sequence dl.
2/21
What is prob of sequence bi when two letters picked without replacement from {k: 2, p: 3, i: 2, c: 6, b: 4}?
1/34
Two letters picked without replacement from qyooooyyooqo. Give prob of sequence oy.
7/44
Four letters picked without replacement from nuvunwuwuuuuuu. What is prob of sequence nuvu?
6/1001
What is prob of sequence sel when three letters picked without replacement from {l: 1, u: | {
"pile_set_name": "DM Mathematics"
} |
Is n a composite number?
True
Suppose -12*a + 121*a - 31824693 = 16*a. Is a a prime number?
False
Let q(g) = -2*g**3 - g**2 - 6. Let p be q(-3). Let j = p + -40. Is (-1698)/(-8) + j - (-18)/(-72) a prime number?
True
Suppose 8019 = -8*o + 1139. Let h = o + 2959. Is h prime?
True
Let f(s) = -79*s. Let j(x) = -x**3 - 3*x**2 + 5*x + 2. Let v be j(-4). Let n be ((-3)/v)/((-11)/22). Is f(n) composite?
True
Let o be (2 + (6 - 2))*1170/(-27). Let i = o - -337. Is i composite?
True
Let x = -319 + 623. Let m be (83 - -3)*(-5 + (-75)/(-10)). Let h = x - m. Is h prime?
True
Suppose -12*c + 14*c = -5*w + 158967, -2*w + 2*c + 63598 = 0. Is w prime?
False
Let n(p) = 27*p**2 + 2*p + 56. Is n(-15) a prime number?
True
Let a be (3 - 1979)/(-2)*3/6. Suppose -a = -3*g + 1177. Let i = g + 386. Is i a prime number?
False
Suppose b - 6 = 1. Let v = 6 - 6. Suppose v = 8*x - b*x - 1865. Is x a prime number?
False
Let n be (-5 - 5) + 1/(-2 - -3). Let w be (-10)/4*(-1 - n/(-3)). Is -6 - 8630/(-25) - 2/w composite?
True
Let c = 325667 - 215988. Is c composite?
True
Suppose 2*y - z - 57963 + 3159 = 0, -4*y - 3*z = -109598. Suppose -150340 - y = -27*w. Is w prime?
False
Let g(h) = h**3 + 26*h**2 - 29*h - 50. Let t be g(-27). Suppose -t*w = 2*a - 69002, -7*a + 9*a = 4*w + 68978. Is a composite?
True
Let r = -2673 - -1682. Let s be ((-441)/(-18) + -5)*36. Let v = s - r. Is v a prime number?
True
Let r be (1177 - 0) + 3 - -3. Let t be (19/((-228)/(-32)))/(1/309). Let p = r - t. Is p a prime number?
True
Let k = 110 - -41. Suppose 5*l = -2*x + 3737, 4*x - k = -3*l + 2080. Is l composite?
True
Let l = -2135 + -738. Let b = -1032 - l. Is b prime?
False
Suppose -y - 5*k = -7198, 3*k = 6*k - 6. Suppose -2*x + y = -m, 3*m + 47 - 41 = 0. Is x a composite number?
False
Suppose -32 = -s + 5*s. Let b(r) = -9*r - 16. Let w be b(s). Let v = w - -765. Is v composite?
False
Suppose -8*l - 5909 = 13715. Let d = l + 4737. Let w = d - 1065. Is w a composite number?
True
Let g be ((-43452)/30)/(6/20). Let a = 6955 + g. Suppose 0 = 4*w + 3*p - a - 580, -4*w + 2719 = -p. Is w prime?
False
Suppose -7*n - 2665 = 5063. Let j = 2360 + n. Let q = -469 + j. Is q prime?
True
Suppose 3*g = -2*v, 4*g - 14 = -5*v + 7*v. Let w be ((-7)/g)/(-7) + 1173/6. Suppose -68 = -8*t + w. Is t a composite number?
True
Let x be 2/((-5 + 1)/(-8)) + 0. Let l = 25 - 15. Suppose w - x - l = 0. Is w composite?
True
Suppose 9135514 - 830416 = 33*j + 437535. Is j composite?
True
Is 268720 + 12 + -31 - 2/2*8 a composite number?
False
Suppose 41 = -10*h + 1, 2*v = h + 354446. Is v prime?
False
Suppose -105 = -9*g + 4*g. Suppose -7*i + 35 = -g. Suppose -i*c = -3*c - 2865. Is c a composite number?
True
Suppose -115*t + 97*t = 19224. Suppose -2*d + 3868 = 3*z - 418, -2*d - z = -4278. Let u = d + t. Is u composite?
False
Let p = 57 - 57. Suppose p = -3*k + 3 + 6. Is 1/6*1671*(k - 1) a prime number?
True
Let v be 0/17 + (0 - -4882) + 2. Let c = 11471 - v. Is c composite?
True
Let c(s) = 15 - 8*s + 21 - 10. Let r be c(3). Suppose -4*j - 4*b = -10680, -5*j + 13348 = 5*b - r*b. Is j prime?
False
Suppose 0 = -2*q + 5*b + 20, 4*q - b + 2 = 6. Suppose q = -46*l + 35*l + 219395. Is l a composite number?
True
Let k(u) = u**2 + 36*u - 196. Let q be k(5). Suppose -q*f + 296261 = -2*f. Is f composite?
False
Let l(h) = h - 19. Let d be l(37). Suppose 11*a + 47747 = d*a. Is a prime?
False
Suppose -3*j = 5*i - 204, 0*i = -5*i + 3*j + 246. Let k = 609 + 407. Suppose 0 = -49*g + i*g + k. Is g prime?
False
Let u = -15207 + 41583. Suppose 8*d - 13*d + 32920 = 5*s, 4*s - u = 4*d. Is s prime?
False
Is 10 + (4 - 0) + 152549 prime?
True
Let n be (-1)/(2 + 0) - 1/(-2). Suppose 6*t - 2*t - 3188 = n. Is t a prime number?
True
Let w(m) = m**3 + 10*m**2 - 13*m - 23. Let v be w(-8). Let h = 2 + v. Is h a composite number?
False
Let r(z) = 31*z**2 + 15*z + 103. Let p be r(-13). Suppose -2*f + 1892 = -5*y - 150, 0 = 5*f - 2*y - p. Is f a composite number?
False
Suppose -8 = -75*d + 71*d. Suppose -d*c = s - 3080, 4*s = 5*c + s - 7678. Is c prime?
False
Suppose u = 2*f - 0*u - 40, 4*f - 88 = 4*u. Suppose f*w - 40171 = w. Is w a prime number?
False
Let k = -9648 + 4646. Let j = 225 - k. Is j prime?
True
Let a(w) be the first derivative of -w**3/3 - w**2 + w - 34. Let x be a(0). Is ((-5984)/(-48))/(x*(-2)/(-3)) a prime number?
False
Let q(g) = g**2 + 3*g - 18. Let b be q(-5). Is 2/(-4) + (-22892)/b a composite number?
False
Let t(z) = 318*z**2 + 22*z + 2. Let a be t(6). Let x = a + -5979. Is x prime?
False
Suppose -4*f + 4*c = 114008, -3*f - 74403 = -2*c + 11104. Let t = 61318 + f. Is t a composite number?
True
Let q = -94 + 37. Let c = 60 + q. Let t(d) = 3*d**3 + 5*d**2 - 5*d + 2. Is t(c) a composite number?
False
Suppose 154 = -26*y + 440. Is 783718/473 - (-1)/y composite?
False
Let z(s) = -2*s**2 - 1 - s**3 + 5*s**3 - 2*s**3 - s. Let g be z(2). Let a = 82 - g. Is a a prime number?
False
Suppose -7*o + 16*o - 13806 = 0. Is (-1)/2*(-2 + -4) + o a prime number?
False
Let k(c) = 14*c**2 - 5*c - 20. Let t be 78/(-9)*12/8. Is k(t) composite?
False
Let m(a) = 118*a - 17. Suppose -1 + 7 = 2*q. Suppose q*x - 7 = 11. Is m(x) a composite number?
False
Let n(k) = 45514*k + 3469. Is n(6) composite?
False
Let h = -127 + 132. Is 667/(26/(-65)*h/(-2)) composite?
True
Let t(f) = 2*f**2 + 15*f - 6. Let q be ((-3)/(-2))/(14/28). Suppose -3*o + 35 = -4*g, 0*o = -2*g + q*o - 13. Is t(g) prime?
True
Let r = 201 - 206. Let h(p) = -700*p - 67. Is h(r) composite?
False
Let j = -46031 - -101557. Is j a composite number?
True
Suppose -15957781 = -30*a + 21923009. Is a a composite number?
False
Is -10 + 277784/3 + 39/117 a composite number?
True
Let p(b) = 183*b - 192. Is p(21) a composite number?
True
Let d(t) = t**2 + 33*t + 35. Let m be d(-32). Suppose 2*v - m*v - 1315 = -3*p, -8 = 2*v. Is p prime?
False
Let c = 2249222 - 1239939. Is c composite?
True
Suppose -2716 = -16*m + 18*m + l, m - 2*l + 1353 = 0. Suppose w = i - 2609, -5*i = -5*w + 2*w - 13039. Let z = i + m. Is z composite?
False
Suppose 0 = -2065*x + 2007*x + 8478266. Is x a prime number?
False
Let k(z) = -225*z - 206. Let w(i) = 14*i - 7. Let h be w(-2). Is k(h) composite?
False
Let d(g) = 11*g**3 - 13*g**2 - 8*g - 23. Let y(m) = 11*m**3 - 12*m**2 - 9*m - 23. Let z(q) = 6*d(q) - 7*y(q). Is z(-7) composite?
True
Let w = 2099 - 719. Let m = -745 + w. Is m composite?
True
Let f = -2417 + 3951. Let o = 825 - f. Let w = 1568 + o. Is w composite?
False
Let b(t) = 258*t**2 + 63*t**3 + 2 + t - 258*t**2. Let p be b(2). Let q = p - 63. Is q composite?
True
Let z(u) = -12*u - 70. Let s be z(-6). Suppose 3734 = 5*f - c, -4*c + s - 18 = 0. Is f a composite number?
True
Suppose 5*m = -5*t + 60, -3*t - 3*m + 44 = 2*m. Suppose -5034 = -11*k + t*k. Is k a composite number?
True
Suppose 6*a - 824 - 1654 = 0. Suppose -w + l = -a, 0 = w - 2*l - 24 - 393. Is w a prime number?
True
Let z(j) = 4729*j**2 + 39*j - 113. Is z(3) a composite number?
True
Is 11*1 + (-30 - (26 + -49846)) composite?
False
Let d(z) = 704*z - 139 + 619*z - 288*z. Is d(10) prime?
True
Let o(u) = -550*u**2 + u + 1. Let z be o(1). Let i = 3297 - z. Is i a prime number?
False
Let z(k) = 71*k - 145. Let b be z(2). Let i(n) be the second derivative of -11*n**5/20 + n**4/12 - n**3/2 + 2*n**2 + n. Is i(b) a prime number?
False
Suppose 29*q = 33*q - 12. Suppose 0*t + 28 = -2*t - 2*d, -q*d - 33 = 2*t. Let n = t + 62. Is n a prime number?
True
Let k(y) = 5*y**3 - y**2 + 2*y - 1. Let i be k(1). Suppose 8281 = i*w + 2541. Let t = -211 + w. Is t a composite number?
False
Suppose 23*j = -71*j + 4507673 + 643245. Is j a prime number?
False
Let m = 52595 - 3748. Is m a prime number?
True
Suppose -m + 4732 = 2*t + 3*m, 0 = -3*t - 4*m + 7102. Suppose 4*x + 294 = t. Is x prime?
False
Suppose -46721 = -g + 42622 - 5674. Is g a prime number?
False
Suppose b + 2*j - 8 = 0, -4*j = b + 3*b - 12. Is 6/(-6)*(-2569 - b) a composite number?
True
Let a(x) be the third derivative of x**5/30 - 23*x**4/24 - x**3/6 - 4*x**2. Let v be -4*7/(-21)*-9. Is a(v) composite?
False
Let b(i) = i**3 - 3*i**2 + 4*i - 10. Let t be b(3). Suppose 0 = -4*l + 2*m - 3*m + 29433, -3*m = -t*l + 14713. Is l/18 - (-18)/81 a composite number?
False
Suppose -5*n - 4*l + 312568 + 149884 = 0, n - 2*l = 92482. Suppose -7*t - 159 | {
"pile_set_name": "DM Mathematics"
} |
/(-432)*(-54)/12.
3/8
Calculate (252/(-70))/6*(-100)/15.
4
What is the value of (6/4)/((-40)/((-4000)/(-75)))?
-2
What is (784/22736)/(1/29)?
1
What is (4/(-2))/(342/(-108)*36/(-2280))?
-40
(26/(-182))/((-6)/(-12))
-2/7
What is the value of (-88)/8*11/((-66)/6)?
11
What is the value of (-10*(-24)/(-2220))/(-2)?
2/37
What is 27/4*(-36)/27*(-4)/78?
6/13
What is (-9)/(-405)*21*15/6?
7/6
What is ((-275)/(-825))/((-78)/9)?
-1/26
Evaluate ((-2)/(-10))/(124/(-1550)).
-5/2
((-480)/(-84))/(-4)*2*(-21)/(-6)
-10
What is the value of (-13)/(468/40)*18/(-30)?
2/3
32/(240/15)*(-1)/18
-1/9
(-8)/(29/(2175/(-60)))
10
What is the value of (-24)/114*((-290)/(-60))/29?
-2/57
Evaluate 12/(-10)*10/(-15)*25/30.
2/3
Evaluate ((-2)/3)/(5/(-75)).
10
Evaluate (4/(-2))/((684/4)/(-9)).
2/19
((-21)/(-6))/(33/231*7/2)
7
(-6)/((-6)/2)*(91/7)/286
1/11
What is the value of ((-4)/(-60)*378/9)/((-7)/(-20))?
8
What is the value of ((((-10)/(-25))/1)/(-18))/(4/8)?
-2/45
Calculate (-616)/440*(-567)/147.
27/5
What is 2/(-16)*2*((-1080)/35)/9?
6/7
((-5)/(70/1))/((42/(-245))/3)
5/4
What is ((-5)/10)/(15/(-480))?
16
(41/(5330/(-156)))/((-5)/((-50)/33))
-4/11
Calculate ((-4)/112)/(15*4/160).
-2/21
Calculate ((-6)/10)/((504/(-45))/(-7)).
-3/8
What is 4/(30*44/8250)?
25
Calculate (-56)/490*(-945)/126.
6/7
Calculate ((-294)/35)/7*(-40)/72.
2/3
What is the value of -20*8/112*21/12?
-5/2
What is ((-1)/((-2)/(-3)))/(120/64)*10?
-8
What is (((-5)/(-42))/(-1))/((-2280)/(-1824))?
-2/21
What is the value of ((-52)/(-1274)*-7)/((26/(-7))/2)?
2/13
-4*1*13/(-12)*-3*1
-13
((-60)/10)/1*10/15
-4
14/(-6)*46/322
-1/3
(12/(-70))/(1815/12100)
-8/7
What is ((-5)/(-2)*(-14)/35)/((-1)/13)?
13
Evaluate (-2*129/172)/(4/(60/9)).
-5/2
What is (-1)/(-1)*(-84)/35*800/128?
-15
((-225)/120)/((-6)/8)*176/(-20)
-22
80/256*12/(-10)
-3/8
Calculate 6/1*301/129.
14
What is the value of ((-3)/(-1))/(2010/536)*-15?
-12
(279/(-1674))/((-1)/(-2*1))*6
-2
Calculate ((-3)/(-5)*236/118)/(1/(-10)).
-12
What is the value of 30/(-140)*((-14)/(-6))/(12/(-9))?
3/8
Evaluate ((1/((-21)/5))/(234/(-546)))/1.
5/9
Calculate ((-4520)/1356)/(1/(-6)).
20
Calculate (25/((-18850)/(-87)))/((-21)/56).
-4/13
(-2)/(-1)*7/((-560)/(-120))
3
(-8)/10*(-100)/24*(-24)/100
-4/5
Calculate 25*-3*4/6*(-12)/(-60).
-10
What is 13/(156/10)*6/15*-9?
-3
((-10)/(-500))/(21/630)
3/5
Calculate 15*(80/(-10))/48*(-76)/95.
2
Calculate (-495)/198*(-20)/(-175).
-2/7
What is 4/(-5)*-2*((-3)/(-3))/16?
1/10
(-12384)/(-89010)*(-10)/(-16)
2/23
456/(-10944)*(-64)/(-60)
-2/45
What is the value of 14*((-2397)/(-238))/(-47)?
-3
(-8)/(-92)*(-184)/(-96)
1/6
What is the value of ((750/40)/15)/((-2910)/48)?
-2/97
30/25*(-85)/(-34)
3
6/(-8)*(-524)/10611
1/27
Calculate ((-2)/5)/((-248)/(-620)).
-1
Evaluate ((-3)/2*1)/((-639)/994).
7/3
Evaluate 24/9*(-405)/540.
-2
What is 4/(-6)*522/116*(-8)/(-6)?
-4
((-16)/32)/((-78)/24)
2/13
36/50*225/9
18
Evaluate ((-5)/(825/12))/(-13*(-30)/975).
-2/11
What is the value of (16/6)/((-18)/9)*(-6)/80?
1/10
Evaluate 40/(-60)*(15/(-10))/(8/14).
7/4
What is 1434/(-8604)*1*8/2?
-2/3
Evaluate 133/399*1*3.
1
What is (15/27)/((-2450)/(-210))?
1/21
What is the value of (-30)/5*24*(-7)/(-112)?
-9
What is the value of (170/1054)/((-6)/(-2))*20/50?
2/93
Evaluate ((-17)/(-34))/(((-27)/84)/9).
-14
What is 30/(540/(-6))*11/(55/(-420))?
28
Calculate (((-16)/220)/(4/(-10)))/(3/(-3)).
-2/11
((-5)/(-1)*(-19)/(-190))/((-8)/(-432))
27
What is (-480)/360*1*(-12)/(-56)?
-2/7
(((-94)/1175)/(61/(-15)))/(3/5)
2/61
What is 21*7/1372*4/1?
3/7
Calculate ((-18)/36)/((-4)/(-104)).
-13
Evaluate (-1)/(-4)*31824/4862.
18/11
(-22)/(-6)*6/8*(-48)/(-198)
2/3
Calculate -3*2/(-8)*(-25)/((-3850)/(-56)).
-3/11
What is (-9)/(-6)*2220/(-222)?
-15
What is (32/(-6))/(-4)*6*(-91)/26?
-28
Evaluate 17710/1012*(-4)/7.
-10
What is the value of (-2)/5*45/(-117)?
2/13
Evaluate -80*15/30*3/(-2*6).
10
What is the value of 4/((379/758)/(3/(-10)))?
-12/5
What is the value of 14/4*((-21)/84)/(9/(-216))?
21
(-10)/48*2946/(-491)
5/4
Calculate 55*((-3)/(-4))/((-85)/(-952)*-21).
-22
What is the value of ((-213)/71)/(3/(-10))?
10
Evaluate ((-84)/9)/((-7)/((-273)/(-26))).
14
Evaluate 4/((-7)/(2940/80)).
-21
Evaluate ((-91)/(-390))/(490/280).
2/15
Evaluate ((-19)/((-5016)/(-288)))/((-2)/11).
6
6*(((-21)/7)/(-18))/(-1)
-1
Calculate (306/(-17))/((11/((-77)/21))/(-3)).
-18
Calculate 105/(-63)*6/(-5).
2
What is the value of 54/300*26/(-39)?
-3/25
What is the value of (35/14*(352/40)/11)/86?
1/43
What is the value of 6/98*(140/(-60))/(21/(-6))?
2/49
Calculate (3896/(-1948))/((12/(-14))/(2/(-28))).
-1/6
Evaluate (10/(-4))/(860/688).
-2
((-2)/6)/(((-18)/(-252)*-7)/15)
10
((-475)/57)/25*3/(-8)*-1
-1/8
(8/10)/(2448/340)
1/9
What is the value of (((-240)/18)/(-10))/(64/(-816))?
-17
What is the value of (-1*1)/(96/(-672))?
7
What is the value of 4*((-726)/(-24))/11?
11
-4*45/72*3*(-3)/(-90)
-1/4
Evaluate ((-7)/3)/(((-10)/(240/252))/9).
2
7/(42*(-26)/(-5304))
34
What is (-14)/(-8)*18/378*-10?
-5/6
What is 9/15*310/1116?
1/6
What is (2/18)/((-319)/(-32538))?
34/3
What is 171/(-9)*3/(8/40*15)?
-19
Evaluate 36/((-3780)/(-595))*-3.
-17
What is the value of (203/145)/((18/3)/(-60))?
-14
Evaluate 12/(-147)*784/(-1344).
1/21
What is (-16*10/8400)/(2/6)?
-2/35
(-1)/(20/80*-1)
4
(4/(-10))/((1520/19)/3200)
-16
What is (1280/2520)/4*-9?
-8/7
(4/50)/(644/(-2415))*(-30)/21
3/7
Evaluate (0/((-4)/(-2)))/((-3)/(12/(-8))).
0
What is (-70)/(-105)*6/(-26)?
-2/13
Evaluate ((-162)/(-18))/117*-6*1.
-6/13
((-84)/(-168))/((-130)/8*8/20)
-1/13
((-10)/50)/((-49)/(-49))
-1/5
Evaluate 3/((-3)/(-1))*(15/15)/(-1).
-1
What is (-2)/(-5)*(-25)/23*3027/(-5045)?
6/23
Evaluate 12/(12/(-5))*(-98)/(-13475).
-2/55
Evaluate (-420)/245*(-35)/(-5).
-12
Evaluate ((-160)/(-520))/(5/65)*(-2)/(-136).
1/17
6264/2958*((-51)/2)/(-3)
18
Evaluate 18*16/(-96)*(-4)/28.
3/7
Calculate 9/(-5)*(25*4/140)/1.
-9/7
Calculate 6*16/(-3)*1/14*7.
-16
What is (-3)/((-2*16)/2)*(-9856)/(-14784)?
1/8
Calculate 248/2604*21/(-18).
-1/9
What is ((60/(-9))/5*(-3015)/134)/(-2)?
-15
Evaluate ((-2)/(-9))/(954/7155).
5/3
Evaluate (-2)/(-28)*(-20)/25*75/30.
-1/7
What is 1*((-2)/(-2)*-2)/(467/1868)?
-8
What is the value of (784/(-80))/((-56)/80)?
14
Evaluate (-20)/4*2/(12/18).
-15
Calculate 0/((6/(-12))/(1/(-2))).
0
Calculate 12/(-5)*((-5)/6)/((-14)/(-28)).
4
Calculate 795/4770*2/3.
1/9
What is 7/(-56)*-12*16*(-2)/(-4)?
12
Calculate 35*52/(-910)*((-9)/3)/(-84).
-1/14
Evaluate 10*15/750*5/(-6)*-27.
9/2
(60/1080)/((-3)/(-2))
1/27
2/2*-1*((-2970)/1242)/55
1/23
What is (320/(-200))/((-4)/(-10))?
-4
Evaluate (((-310)/(-248))/((-725)/10))/(1/4).
-2/29
Evaluate 105/105*16/4.
4
Evaluate ((-4)/(-16))/((5/(-35))/((-10)/(-15))).
-7/6
What is the value of (4/(-3))/(4/7*(-1610)/(-1380))?
-2
What is ((1*0/8)/(-6))/2?
0
Evaluate (((-364)/21)/26)/((64/60)/8).
-5
What is -27*(-4)/144*20?
15
Calculate ((-25)/35*(-12)/(-15))/(16/(-392)).
14
33/55*2*(-160)/24
-8
What is the value of (-1)/1*-13*(-2)/(-78)?
1/3
Calculate ((-2)/(-6))/((23/2691)/1*3).
13
Calculate (4/16)/1*(-8)/(-2).
1
What is 1652/354*((-18)/(-21))/(-2)*6?
-12
Evaluate (-8)/8*69*6*3/54.
-23
Calculate (3/15)/(116/(-20)).
-1/29
What is (110/5)/((2/(-3))/((-4)/(-12)))?
-11
What is ((-44)/(-66))/(6/8*(-20)/(-30))?
4/3
Evaluate (4/330)/(((-2080)/325)/32).
-2/33
What is (63/210*-55)/((-1)/(-2))?
-33
(300/(-12))/5*(-32)/(-1520)
-2/19
What is the value of 8/(-30)*((-810)/(-3969))/((-4)/7)?
2/21
Evaluate ((-60)/(-52))/((-843)/(-14612)).
20
What is ((-15)/5)/((-3)/((-3)/3*-16))?
16
What is the value of ((-144)/63)/(432/168)?
-8/9
What is the value of (-216)/378*525/(-12)?
25
Evaluate ((-5890)/775)/(4/10).
-19
2580/(-1806)*(-21)/(-9)
-10/3
What is 546/169*(-26)/(-4)?
21
What is (23/(-3))/((7/(-3))/7)?
23
(1/(-4))/(46/(-16))
2/23
What is 14/(-5)*(-30)/(-12)?
-7
(60*(189/18)/21)/2
15
What is (-24*(-3)/360)/(29/10)?
2/29
What is the value of (6/21)/(19/(-1197))?
-18
What is (8*12/64)/2?
3/4
((-30)/99)/(((-252)/(-18))/(-154))
10/3
Evaluate 0*(-4)/28*18/36.
0
What is 45*(512/48)/(-32)?
-15
What is the value of 8/(-252)*-1*161/69?
2/27
What is the value of (285/(-950))/((-3)/4*12/5)?
1/6
Evaluate ((-1652)/1298)/(-3*7/462).
28
Calculate (90/(-240))/((24/60)/((-8)/5)).
3/2
Calculate 2/(-1)*437/(-1012)*22.
19
((-12)/46)/(((-315)/(-15))/7)
-2/23
Evaluate ((-13)/65*2)/((-30)/(- | {
"pile_set_name": "DM Mathematics"
} |
Which is the third biggest value? (a) z (b) i (c) -1
a
Let g = -6 - -20. Let f be 1 + (-1)/((-2)/g). Let p(h) = h - 10. Let u be p(f). What is the second smallest value in u, 2, -0.4?
-0.4
Let w = -8 + 18. Let k = 15 - w. Which is the biggest value? (a) 0 (b) 3/5 (c) k
c
Let x be (-4 - -2)/(15/3). Which is the smallest value? (a) -5 (b) 3 (c) x (d) -0.5
a
Let d(p) = -p**2 - 8*p + 4. Let z be d(-9). What is the second biggest value in -2/9, 2/15, z?
-2/9
Let s be (1/4)/(0 - -1). Which is the third smallest value? (a) s (b) -2/5 (c) 2/9
a
Let i = 0 - 0.3. Let m = i - -0.1. Let x be (-8)/126 - 4/(-14). Which is the second smallest value? (a) 2 (b) m (c) x
c
Let x(i) = i. Let f be x(1). Let l = -0.09 - -0.09. Which is the second biggest value? (a) 4 (b) l (c) f
c
Suppose 1 = 2*g - g. Let u = 91 - 89. What is the biggest value in u, 0.2, g?
u
Let k = 67 - 83.5. Let z = k - -17. What is the biggest value in z, -0.4, -2?
z
Let l be -2 + 2 - (2 - 0). Let n = -3512/5 + 702. Which is the third smallest value? (a) l (b) n (c) -5
b
Let f = 0.3 + -0.4. Let n be -2 - ((-72)/14)/3. Which is the third smallest value? (a) f (b) n (c) 8
c
Let u = -3 - -5. Let d be (-3)/12 + 3/44. Which is the smallest value? (a) u (b) 3 (c) d
c
Suppose -5 = 5*q + 10. Let w be (-1)/q*342/56. Let j = 7/4 - w. What is the third biggest value in 0, -3, j?
-3
Let u be -3 + 5 - 57/27. What is the third smallest value in -1, u, -5?
u
Let g be (1/(-4))/(15/24). Let c = 0.68 - 0.18. What is the second biggest value in g, c, -5?
g
Let o = -19 - -19.1. Let x = -2 + 1.5. Suppose 0*p + 10 = 5*p. Which is the second biggest value? (a) o (b) p (c) x
a
Let q be (4/10)/((-24)/45). What is the second biggest value in 2/7, -2, q?
q
Suppose 4*p - p = 27. Let d be (-1)/3 - (-30)/p. What is the biggest value in -2/25, -1/7, d?
d
Let l be 0 + 1 - ((-55)/(-10) - 5). Which is the second smallest value? (a) -5 (b) l (c) -1/10
c
Let g = -594 + 590. Suppose -6 = -2*p + 2*h + 6, 0 = p + h + 2. Suppose 0 = -0*s - p*s - 4. What is the third smallest value in s, -2/3, g?
-2/3
Let g = -16 + 27. Let m = g + -12. Let n = 0.6 + 0.4. What is the third biggest value in -1/8, m, n?
m
Let r = -0.8 + 1. Let q = -1.7 + 1.2. What is the second smallest value in 3, q, r?
r
Let d = -19.8 - -20. Suppose -10 = 2*t - 0. What is the second biggest value in d, 0.5, t?
d
Let n(k) = -k**3 - 6*k**2 - 5*k + 4. Let p be n(-5). Suppose -2*m - p*q = -2, -2*q - 4 = -m - 3*m. What is the third smallest value in -4, m, -0.5?
m
Let f(t) = -33*t + t - 30*t + 8. Let n be f(-6). Let x = 6458/17 - n. Which is the biggest value? (a) 3 (b) 0 (c) x
a
Let h = -5522/23 + 240. Let g = 40/69 - h. Suppose 3*p = -8 - 4. What is the third smallest value in -2/17, p, g?
g
Let s = -27 + 29. Let n = -0.03 - -4.03. What is the third smallest value in n, -0.1, s?
n
Let r be (-16)/30 - (-40)/50. What is the biggest value in r, -3/4, -3, -0.4?
r
Let r be -3*((-2)/(-3) - 1). Let p be (2 + -1)*(-7 + 3). Let s = 0 + -1. What is the second smallest value in p, s, r?
s
Let t = 4 - 3.95. Let h = t + 0.25. Which is the second smallest value? (a) 1 (b) h (c) 3
a
Let q = -16 - -16. Suppose 4*l - 16 = -4*c + c, -4*c + 13 = -3*l. Let b = 2 - l. What is the biggest value in q, -4, b?
b
Let o = 10 - 14. Let w be (-4)/(-10) - 12/5. What is the third smallest value in o, 1, w?
1
Let k = -5 - -1. Let r = -364 - -369. What is the smallest value in k, 1, r?
k
Let m = 127/424 - -4/53. Let u = 7 - 0. Let x = -10 + u. Which is the second smallest value? (a) x (b) m (c) -1/5
c
Let m = 11.2 - 11. What is the third smallest value in -60, 3, m?
3
Let b = 16 + -21. What is the second smallest value in b, -3, -1/3?
-3
Let q = 0 - -0.2. Suppose -5*p + 141 = -3*z, 5*z = -4*p - 0*z + 98. Let f be 33/p*3 + -3. What is the third biggest value in f, 2/11, q?
2/11
Let w = 25 - 25.1. What is the biggest value in 1, w, 0?
1
Let m = 1.958 + 0.042. Let g be 1 + 3*(-4)/30. Which is the smallest value? (a) m (b) g (c) -2/3
c
Let x = 1 - 1.05. Let w = x + 5.05. Which is the second biggest value? (a) -3/7 (b) w (c) -1/3
c
Let k = -0.07 + 0.17. Let t = 0.3 - k. What is the smallest value in t, 6, -0.2?
-0.2
Let i be 4 + (-1)/((-6)/(-26)). Suppose 2*f + 2*f - 1 = p, -6 = -2*p. Which is the second biggest value? (a) f (b) i (c) -2/3
b
Let s = 1 - -5. Let i be 2/s + (-2)/(-30). Let y = -14 - -13. Which is the biggest value? (a) i (b) -2 (c) y
a
Let r be 240/(-42) - 2/7. Suppose 3*f + 5 - 14 = 0. What is the third smallest value in r, -0.3, f?
f
Let o = -22 + 21.6. Let k = -1 - -1.3. Which is the second biggest value? (a) k (b) 5 (c) o
a
Let r = -726035834/1537 + 472372. Let n = r - -1/58. Let k = 179/1166 - n. What is the third biggest value in -0.3, -2, k?
-2
Let r = 6.97 - 7. Let q = r + 0.13. What is the third biggest value in q, 5, -4/3?
-4/3
Let q = 2 + 0. Suppose q*s + 0*d + 4*d = 0, 3*d = 0. Which is the third smallest value? (a) s (b) 5 (c) 1/5
b
Let k be (-17)/(-35) - (-8)/(-28). What is the third smallest value in -1, -0.1, k?
k
Let p = -0.07 + 3.07. Let o be 2 + (5487/(-27) - 1). Let y = o - -202. Which is the third smallest value? (a) y (b) p (c) 5
c
Let a be -1 + (-3)/(-6)*7962. Let d = -59663/15 + a. Let g = -14/5 + d. What is the second smallest value in 0, -1/8, g?
-1/8
Suppose 0*u - 3*u + 3*j = -21, 3*j = 4*u - 23. Which is the third smallest value? (a) 0 (b) -4/5 (c) u
c
Let d = 550 - 6601/12. Let j = 207 + -1032/5. Which is the second smallest value? (a) d (b) 2/7 (c) j
b
Let h = 81 - 84.3. Let t = 3 + h. Let j = t - 4.7. Which is the biggest value? (a) j (b) -0.2 (c) -0.3
b
Let w = 149 + -147. What is the biggest value in 0.1, -0.2, 4, w?
4
Let r = 131.1 + -131. Which is the biggest value? (a) -0.4 (b) 3/5 (c) r (d) -1
b
Let h = -1 - -4/3. What is the second smallest value in 2/5, 0.1, h?
h
Let j = -0.2 - -0.1. Let q(g) = 12*g**2. Let c be q(1). Let b be c/28 + (-12)/(-21). What is the third smallest value in 0.1, j, b?
b
Let k(x) = -2*x - 6. Let w be k(-4). Which is the second biggest value? (a) -1 (b) 1/3 (c) w
b
Let x be -3 + 4 + 9/(-12). What is the smallest value in x, -3, 2?
-3
Let d = -10.5 + 11. What is the third smallest value in -3, -2, d?
d
Let s = -49.5 - -50. Let u = -2 - -3. Which is the biggest value? (a) -4 (b) s (c) u
c
Let z = 5.59 + -0.19. Let w = z - 0.4. Let v be (1/(-3))/(4/3). Which is the second biggest value? (a) 0.2 (b) w (c) v
a
Let t = -8.3 - -7.4. What is the second biggest value in 3, 0.2, -2, t?
0.2
Let m = 35 - 21. Let g be m/(-4)*33/(-7). Let n = g - 17. What is the second biggest value in -2, 0.3, n?
n
Let c be 12/8 + -3 - -2. What is the second smallest value in -2/5, c, 1, 2/3?
c
Let r = -127 + 633/5. What is the second smallest value in 5, -1/5, r?
-1/5
Suppose 3*f = 7*f - 12. Let l(c) = 2*c - 4. Let u be l(-3). What is the third biggest value in u, f, 4?
u
Let t = -23 + 23. Let k = 1 - 4. Let l = 2 + k. Which is the biggest value? (a) l (b) t (c) 5
c
Let l = 0.044 - 5.044. What is the biggest value in -0.3, l, 0.9?
0.9
Let l = 0.1 - -0.4. Let w = 45.1 - 45. What is the second biggest value in l, 1, w?
l
Let j = 8 - 12. Let g be ((-4)/25)/(10/25). What is the third smallest value in g, j, 0?
0
Let l = -2.7 + 3. Let d be (1/(-21))/((-6)/54). Which is the third smallest value? (a) d (b) l (c) 4
c
Let u = -60 - -55. What is the smallest value in 2/9, 4, u, -0.5?
u
Let s(f) = 6*f. Let j be s(2). Let n be (-4)/42*28/j. Let p = -12.3 + 12. Which is the third smallest value? (a) 1 (b) p (c) n
a
Let p = 8.3 - 8. Let z = 1.4 + -1. Let v = -0.05 + -0.45. What is the third biggest value in v, z, p?
v
Let m(s) = -20*s + 3. Let w be m(-3). Let o be 2/(-9) - (-5)/w. Let u = -2/45 - -32/45. Which is the biggest value? (a) o (b) u (c) -5
b
Let d be (16/128)/((-1)/(-2)). Let p = -9 - -5. Let t = -4.3 - p. Which is the biggest value? (a) -1 (b) d (c) t
b
Let x = -0.023 - -3.023. Let k be (4/(-5))/(2/(-5)). Let y be ((-2)/24)/(k/(-4)). Which is the biggest value? (a) y (b) 4 (c) x
b
Let m = 5 - 5.06. Let j = m - -0.36. Let h = 5 - 2. What is the smallest value in h, j, 1/8?
1/8
Let v = -1.9 - -2. Suppose 5*j = 5*c - 35, 1 - 11 = -c + 4*j. Let o = 9 - c. What | {
"pile_set_name": "DM Mathematics"
} |
(3 + sqrt(180)*-2)**2) + sqrt(180))) + sqrt(180)).
-576*sqrt(5) + 314
Simplify (((sqrt(6) - (sqrt(72)/(sqrt(96)/sqrt(8)) + sqrt(6))) + sqrt(12)/(sqrt(2) + 1*sqrt(2)))/(-3*sqrt(18)/sqrt(9) - sqrt(1458)/sqrt(9)))**2.
1/192
Simplify ((4*(3*sqrt(104) + sqrt(104))*6)/((sqrt(96) + (sqrt(96) - (2*-4*sqrt(96) - sqrt(96))))/sqrt(12)))**2 + 1.
119929/121
Simplify ((1*sqrt(7200) - sqrt(7200) - sqrt(7200))/(1*sqrt(40)))**2 - ((2 + sqrt(5))*-2 + -3 + 4).
2*sqrt(5) + 183
Simplify -2*(6*(5 + 1 + 0 + sqrt(1216))**2 + (sqrt(1216) + 2 + -5)**2 + (sqrt(1216) + sqrt(1216)*-1 + 3 - sqrt(1216))**2).
-19924 - 960*sqrt(19)
Simplify (-5*-3*sqrt(1216) + sqrt(1216) + (-2*sqrt(1216)*2 + sqrt(1216) - sqrt(1216)))**2 - (5 + sqrt(931)*-2 + -1 + -3).
14*sqrt(19) + 175103
Simplify ((5*3*sqrt(2420))/(sqrt(4) + sqrt(144) + sqrt(144) + -1*sqrt(144) + (sqrt(36)/sqrt(3) - sqrt(12))/sqrt(3)) + 3)**2.
990*sqrt(5)/7 + 136566/49
Simplify 5*(3 + (6*sqrt(1584)*2 - (4 + 1 + sqrt(1584))) + -3 + sqrt(1584) + (sqrt(1584) - (4 + (-5*sqrt(1584))**2 - sqrt(1584))) + sqrt(1584)).
-198045 + 900*sqrt(11)
Simplify (-3*-4*-3*((4 + sqrt(468) + 0 - (3 + 2*sqrt(468))) + 1))**2.
-31104*sqrt(13) + 611712
Simplify ((sqrt(245) + -4 + sqrt(245) + (sqrt(245) - (sqrt(245) + 2)) - sqrt(245)) + sqrt(245) + 0 + 0 - (-1*(sqrt(405)*1 - sqrt(45)) + 5))**2.
-440*sqrt(5) + 2121
Simplify ((-4*(sqrt(125) + (sqrt(125) - sqrt(125)*-2)))/(sqrt(405) - -1*sqrt(405)))/(4*(sqrt(720)/(sqrt(24)/sqrt(2)))/(sqrt(132)/(sqrt(11)*-2))).
sqrt(5)/9
Simplify ((sqrt(363) + sqrt(363) + -1)*1 - (-1 + (2*sqrt(363))**2)) + (-2*(sqrt(363) + 2) + (sqrt(363) + -3 + sqrt(363) + sqrt(363))*2)**2 + 1.
-858*sqrt(3) + 4457
Simplify (2*(-5 + sqrt(720) + 1 + (sqrt(720) - (5 + -1 + sqrt(720))))*1*-2)**2 + 4.
-3072*sqrt(5) + 12548
Simplify -2 + (4 + -3 + -2 + -1*(sqrt(325) + 1) + -5)**2.
70*sqrt(13) + 372
Simplify (-2*3*(sqrt(133)*2 + sqrt(133) + sqrt(133)))/((sqrt(7) - sqrt(28))*-5*4)*-5*-3.
-18*sqrt(19)
Simplify (4*3*1*sqrt(70)*-6)/(((sqrt(100) - sqrt(100)*-2)*6 + sqrt(100))/(sqrt(90)*-2 - sqrt(10))).
504*sqrt(7)/19
Simplify ((5*(sqrt(3500) + sqrt(3500) + 5*2*sqrt(3500) + sqrt(3500) - sqrt(3500)))/((sqrt(5) + (sqrt(245) - sqrt(245)*-4))*1*-4))**2.
4375/36
Simplify (6*(-5 + sqrt(1372)*3) + 6*-1*sqrt(1372)*-6 + -4)**2.
-51408*sqrt(7) + 4001908
Simplify (((sqrt(2496) - -5*(sqrt(2496) + sqrt(2496)*1)) + sqrt(2496) - sqrt(2496))*5)/(sqrt(75) + 2*1*sqrt(75) - sqrt(75) - 1*sqrt(75)*5).
-88*sqrt(13)/3
Simplify (4 + ((2*sqrt(120) + sqrt(120))*2)/sqrt(10) + ((sqrt(12) + -1)*-6 - (sqrt(12) + sqrt(12) + 3*sqrt(108)))*1)**2.
-440*sqrt(3) + 1552
Simplify -1 + 2*(-3 + (sqrt(1620) - (3 + sqrt(1620)*2) - (-1 + sqrt(1620)*-1)) + -4)**2.
161
Simplify (3 + -2*sqrt(6)/sqrt(8))*-3 - 5*((2*sqrt(324))/sqrt(12))/sqrt(9)*1.
-7*sqrt(3) - 9
Simplify ((sqrt(2904) - (sqrt(2904) - 2*sqrt(2904) - sqrt(2904) - sqrt(2904))) + sqrt(2904)*4)/(2*4*sqrt(192)*-6).
-11*sqrt(2)/24
Simplify ((-4 + -4 + 3*(-4 + (-4 + (2*sqrt(425) - sqrt(425)) + sqrt(425) - sqrt(425)))*-1)*-4)**2.
-7680*sqrt(17) + 65296
Simplify -2*(-1 + (3*sqrt(832) + (-1 + sqrt(13))*1)*-3*4)**2*3.
-7020726 + 39600*sqrt(13)
Simplify -4 + 1*(sqrt(792)*-2)/(sqrt(20)/(sqrt(10) + 3*sqrt(10))).
-48*sqrt(11) - 4
Simplify (3*(sqrt(228) + sqrt(228) + 6*-3*sqrt(228) + sqrt(228) + 2*sqrt(228)*-2))/((sqrt(24)/(sqrt(2)*-1) - sqrt(1200)*1)*2).
57*sqrt(19)/22
Simplify -6*(2 + 3*(sqrt(243) + 2) - (1*sqrt(243) + -4 + -5)).
-108*sqrt(3) - 102
Simplify ((1 + -3 + sqrt(1700) + -3 + sqrt(1700) + sqrt(1700) + 5)*5 + -2)**2.
-600*sqrt(17) + 382504
Simplify (3*(sqrt(2) + -1*sqrt(2)) - ((sqrt(2) - (-1 + sqrt(2))) + 0)) + 2 + -2 + (1*sqrt(2)*2 - -3*(sqrt(2) - sqrt(50)))**2.
199
Simplify 4 + (6*1*sqrt(480))/(-5*sqrt(24)*-2).
6*sqrt(5)/5 + 4
Simplify (4*((sqrt(147) + -2 + sqrt(147))*-1 + -1) + sqrt(147)*2 + 4 + sqrt(147) + -5 + sqrt(147)*-1 + sqrt(147))**2*-4.
-14736 + 840*sqrt(3)
Simplify -2 + ((sqrt(176) + (sqrt(176) + sqrt(176)*2 + sqrt(176) + sqrt(176))*5)**2 + 2 - (-6*(sqrt(176)*-2 - sqrt(176))**2 + (1 + sqrt(176))*6)).
-24*sqrt(11) + 128474
Simplify ((1 + sqrt(10)/(-6*sqrt(35)/sqrt(7)) + (-2 + -3 + sqrt(98) - sqrt(98) - sqrt(98)) + 5)*5)**2.
-1075*sqrt(2)/3 + 46675/18
Simplify (1 + 4*(-4*-2*sqrt(304) - (sqrt(304) - (-2 + sqrt(304) + 1)))*-1*-1)**2.
-768*sqrt(19) + 311305
Simplify (-3*-1*sqrt(77))/sqrt(7) + (-1 + sqrt(1331) + 3)**2 + 1.
47*sqrt(11) + 1336
Simplify ((sqrt(114) + sqrt(114)*-2)*-2)/(sqrt(24)*-4) + 4 + (sqrt(1539) + sqrt(1539)*-3*3 - sqrt(1539) - sqrt(1539))**2.
-sqrt(19)/4 + 153904
Simplify -5*(-3 + ((6*2*sqrt(114) - -4*(sqrt(114) - -3*sqrt(114)))/((-4*-1*sqrt(18))/(2*sqrt(300) - sqrt(300))))**2).
-465485
Simplify (((sqrt(117)*1*-6 - (1 + sqrt(117))*-5) + 3 + sqrt(117)*-2 + -1)*-5)**2.
-3150*sqrt(13) + 27550
Simplify (((sqrt(72) - sqrt(2)) + sqrt(512))*3 + (3*(sqrt(50))**2 - (-4*(1 + sqrt(2)))**2))*6.
186*sqrt(2) + 612
Simplify (-3 + ((sqrt(931) - (sqrt(931) + sqrt(931) + 2 + 5))**2 - (sqrt(931)*-2 + 5)**2))*4*-3*1.
-2856*sqrt(19) + 33264
Simplify ((sqrt(84)/(sqrt(6)*-2))/(sqrt(2) + (1*sqrt(72) + sqrt(2) - sqrt(2))) + (-2 + -3*sqrt(7) - (sqrt(28) + 5)))**2.
71*sqrt(7) + 6413/28
Simplify 5 + (6*(sqrt(104) - sqrt(104)*3)*1)/(sqrt(72)/(sqrt(45)/sqrt(5))*2) + -5.
-6*sqrt(13)
Simplify ((1*sqrt(91) - sqrt(91))*3*-5*2)/((-1*-2*sqrt(84))/(2*-1*sqrt(12))).
0
Simplify 5*(4 + ((sqrt(98) + 0)*-4 + 5 - ((sqrt(98) - ((sqrt(98) + 0)**2 - sqrt(98))*-2) + -5 + sqrt(98)*-1))).
-910 - 70*sqrt(2)
Simplify (-2*(sqrt(133)*-1 + sqrt(133))*-6*-6)/((sqrt(168)/(sqrt(4) - sqrt(64)))/sqrt(6)*6)*-3.
0
Simplify 2*(sqrt(162) + (sqrt(162) + (sqrt(162) - (0 + sqrt(162))))**2 + -2 - (-1*-2*sqrt(162) - sqrt(162)))*1.
320
Simplify -2*((-5 + 4 + sqrt(1053)*-1 + sqrt(1053) + 5)**2 + 1 + 3)*5*-3.
600
Simplify ((-1*(sqrt(72) + 2*sqrt(72) + sqrt(72)) - sqrt(72))/(sqrt(384)/sqrt(8)))/((2*sqrt(24)*-4)/(sqrt(30)/(2*sqrt(10)))).
5*sqrt(3)/64
Simplify -1*4*(-1 + sqrt(3) + 3 - (sqrt(3) + -3)*2)*1*5 + -4.
-164 + 20*sqrt(3)
Simplify ((-6*(sqrt(16) + sqrt(144)) - (sqrt(160)*3)/sqrt(10))/(-5*((sqrt(80) + 3*sqrt(80) + sqrt(80))*3)/sqrt(10)))**2.
162/625
Simplify (((sqrt(847) + sqrt(847) + -3 + sqrt(847) + -4 - sqrt(847))*-2)**2 - (sqrt(847) + -1*(5 + sqrt(847))**2)*-2) + 1.
-1430*sqrt(7) + 12005
Simplify ((4*(sqrt(495) - (sqrt(495) - sqrt(495)*2) - sqrt(495)))/(2*(sqrt(9) - sqrt(9)*2)))/(sqrt(396)*1 - (sqrt(11) + 2*sqrt(704))).
2*sqrt(5)/11
Simplify (((sqrt(144)/(sqrt(24)/sqrt(4)))/(-2*sqrt(64)))/((sqrt(2904)*-1)/(-1*sqrt(8)*2)))**2.
1/968
Simplify 5*(-4 + (sqrt(153) - ((sqrt(153) - -1*sqrt(153)) + sqrt(153))*-3) + (sqrt(153)*2*1 - sqrt(153)))**2 + -1.
-1320*sqrt(17) + 92644
Simplify (sqrt(16)/(sqrt(2) - sqrt(32))*-1)**2*3*5*-3.
-40
Simplify (-2*(sqrt(324) - (sqrt(324) + -2*sqrt(324))*1)/sqrt(12))/((sqrt(108)*-2*4)/(sqrt(12) + (-2*sqrt(1728) - sqrt(1728)) + sqrt(12))).
-17*sqrt(3)
Simplify ((sqrt(78) - (sqrt(78) + (sqrt(78) - (2*sqrt(78)*-2 - sqrt(78)))))/(sqrt(162) - sqrt(162)*-1))/((sqrt(81)/sqrt(3)*2)/(sqrt(441)*1)) + 0.
-7*sqrt(13)/6
Simplify (-4 + sqrt(13)*6*3 - (sqrt(65)/sqrt(20) + 5)) + 5.
-4 + 35*sqrt(13)/2
Simplify -2 + -5 + ((0 + 1*sqrt(704) + sqrt(704) + 4)**2 + -1 + -1)*-6.
-16987 - 768*sqrt(11)
Simplify 4 + ((5 + (sqrt(588) - (sqrt(588) - (sqrt(588) + 0)*4)))*5*-3 + 2)**2.
122640*sqrt(3) + 2122133
Simplify -6*((0 + (sqrt(1584) - (sqrt(1584) - (sqrt(1584) + 0))))**2*3 + 1 - ((sqrt(1584)*2 + sqrt(1584) + sqrt(1584))**2*-6 + sqrt(1584)*-3*-4)).
-940902 + 864*sqrt(11)
Simplify (sqrt(68) - (3 + -2*sqrt(68) + sqrt(68)) - ((2*sqrt(68) - sqrt(68)) + sqrt(68) + 5))**2 + 3 + (sqrt(68) + -1 + 5 + 4 + sqrt(68) + 1)**2.
72*sqrt(17) + 420
Simplify ((sqrt(95) - (sqrt(95) + 4*sqrt(95)*-5 + sqrt(95))) + 3*sqrt(95)*3)/(sqrt(35)/(sqrt(14)/sqrt(2)) - (sqrt(980) + sqrt(20))/sqrt(4)).
-4*sqrt(19)
Simplify -3*(-1*sqrt(132)*3*1)/(sqrt(33)/sqrt(275) - sqrt(24)/sqrt(8)*-5).
45*sqrt(11)/13
Simplify 4 + (sqrt(171) - (sqrt(171) + sqrt(171)*2*5) - (-1 + -1 + sqrt(171))) + (2 + (sqrt(171) - (sqrt(171) + -4)) + -1)*1.
-33*sqrt(19) + 11
Simplify (4 + (sqrt(12) + -1 - 1*sqrt(243)) + 2 + (sqrt(120)/sqrt(4)*-5)/((sqrt(150)/sqrt(3))/sqrt(5)))**2.
-120*sqrt(3) + 457
Simplify ((sqrt(85) + (sqrt(85) + sqrt(85)*-2)*-6)*1*-4)/((sqrt(320)*1*3 + sqrt(320))*-1).
7*sqrt(17)/8
Simplify -4 + (-1 + -4 + sqrt(1377) | {
"pile_set_name": "DM Mathematics"
} |
2*t - 2*a - 7 = 3*t, 3*t = 4*a + u for t.
3
Suppose -y - 10*y + 11 = 0. Let c be (4 - 4/y) + 12/4. Solve 5*z = 2*r - 11 - 1, 0 = z + c*r + 16 for z.
-4
Let t = -916 + 926. Solve k = -k + t, -u = -3*k + 18 for u.
-3
Suppose 3 = 3*p + 3*l, -3*p + 3*l + 15 = -0*p. Solve m + 17 = -p*m + 3*t, m - 4*t + 1 = 0 for m.
-5
Suppose 17*b = 21*b - g - 78, -106 = -5*b - 3*g. Solve -4 - b = 4*v - z, 0 = -3*v - 5*z + 5 for v.
-5
Suppose 4 = 2*m - d - 1, 4*d - 16 = -4*m. Solve -5*h = -m*t - 19, -3*t + 3*h = -0*h + 15 for t.
-3
Let v = -8 + 11. Suppose -h - 9 = -l, l = 4*h - 7*h - 11. Suppose l*z + 0*a - 9 = -a, z - 2*a = 0. Solve m + 6*x = 3*x + v, m - 3 = z*x for m.
3
Let g(l) = 5*l**2. Let s be g(-1). Suppose 12 = -2*a - 2*f, -2*a + a + 24 = -s*f. Let j be (a - 14)*8/(-24). Solve 2*q - 6 = j*h - 3*h, 0 = 3*h + 3*q + 3 for h.
-2
Let z = -5 - -7. Let s be ((-50)/6)/(z/(-6)). Suppose -o + 4*r = -0*o - 11, -15 = -2*o + r. Solve -5*b = s, o = 5*l + 2*b + 22 for l.
-1
Suppose -21 + 5 = -2*j. Let k be (6/j)/(18/48). Solve -4*s = -4*r - r - 40, 3*s = k*r + 23 for s.
5
Suppose -25 = -9*d + 4*d. Suppose -3*l - 4*s - 22 = 0, 22*l - 17*l = -4*s - 18. Solve -l*z = -5*z - r + 11, -d*r + 25 = 0 for z.
2
Let f(w) = 2*w - 64. Let r(b) = 2*b - 65. Let v(n) = -5*f(n) + 4*r(n). Let k be v(21). Solve -2*i + 16 = 3*c, 5*i + 2*c + 0*c = k for i.
2
Let n(y) = y**3 - 5*y**2 + 2*y - 6. Let d be n(5). Let g be ((-66)/44)/((-3)/d). Solve u + s - 1 = 0, g*u = -2*u + s - 21 for u.
-4
Let b = 81 + -78. Solve -3*d - 12 = r, -b*d - 20 = 4*r + 2*d for r.
0
Let t(i) = 21*i**2 + 4*i + 9. Let h(v) = -11*v**2 - 2*v - 5. Let f(g) = 7*h(g) + 4*t(g). Let x be f(-1). Solve -4*q + 17 = -b, 0 = x*q - 4*q - 10 for b.
3
Suppose -5*v = -5*o, 28 = -v + 4*v + 4*o. Solve -j - 29 = 3*l - 6*j, 4*j = v*l + 28 for l.
-3
Let y = -20 - -7. Let f = 20 + y. Solve -q - q = -2, 3*m + 5*q + f = 0 for m.
-4
Let p(z) = -5*z - 28. Let d be p(-12). Let f = 34 - d. Solve -2*q = -5*b + 17, 5*q = 3*q + f*b - 2 for q.
4
Let i = 8 - 6. Suppose 15 - 5 = i*f. Suppose 4 + 1 = 5*p - 5*n, -f*p - 5*n + 35 = 0. Solve l = -4*j - 18, -3*l = j - p*j - 21 for l.
2
Let y(q) = -6*q - 53. Let d(a) = -13*a - 107. Let k(x) = 4*d(x) - 9*y(x). Let j be k(-20). Solve -2*c = 5*n - 1 + 7, 4*n = -3*c - j for n.
0
Let y be (-38)/(-266) + (-27)/(-7). Solve -5*b - 15 = -5*q, y*q = -b - 1 + 23 for q.
5
Suppose -2*v + 18 = 3*x, -v + 2*x = -0*v + 5. Suppose -9*m - 18 = -v*m. Let q be 26 - (m + -3 + 7). Solve -f + 2*z = -2*f - 2, 4*f = 3*z + q for f.
4
Let j(f) = -7*f + 70. Let k be j(9). Let c be -1 + 1 + -2 - -9. Solve 0 = -5*n - 4*p + 35, -2*n + 4*p = c + k for n.
3
Suppose o - 23 = -3*i, o + 3*o = 20. Suppose 0 = -i*f + 20 - 2. Solve 3*p - f*y = -6 - 0, 18 = -4*p - y for p.
-4
Suppose 3*n + 125 = 134. Solve -v = 2*u - 6*v - 12, n*u + 3*v + 24 = 0 for u.
-4
Let d be (-24)/(-9)*(-6)/(-4). Let i = -23 + 33. Suppose w - i = -w. Solve w*s + 27 = -3*r + 9, -r - d = s for s.
-3
Let u(r) = -r**2 - 5*r + 4. Suppose 5*i = -2*g - 27, -3*i + 0*g - 4*g = 19. Let l be u(i). Solve -2*y - l*t + 8 = 0, 3*y - 2 - 8 = -4*t for y.
2
Let t be 796/6 + (-2)/(-6). Let j be t/35 + (-1)/(-5). Suppose -2*a - 2*s + 4 = -5*a, j*a = -3*s + 6. Solve -5*o + 4*y = 6, 5*o - y + a*y = -9 for o.
-2
Let y be ((-8)/12)/1*-45. Suppose 4 = -29*s + y*s. Solve 0 = 3*n + 4*p + 27, s*p = 4*n - 0*p + 8 for n.
-5
Suppose 24 = 3*g - 3*j, j = -4*g + 83 - 31. Suppose 5*u = 62 - g. Solve 0 = -2*z - f - 5, 4*f - u = 3*z + 3 for z.
-3
Suppose -n - 18 = -h, -26 + 2 = -2*h - 4*n. Let s be ((-5)/(-15))/((-2)/(-36)). Solve 3*o + h = 5*l, 2*o = -4*l + s*o + 16 for l.
2
Suppose 5*x - 17 = -z, -4*z + 10 = -5*x + 17. Solve 2*t + x*k + 5 + 3 = 0, -4*k = 8 for t.
-1
Suppose 4*z = -5*x - 10, -2*x + 5*z + 35 = 3*x. Solve 0 = -d + 3 - 2, -x*k + d - 11 = 0 for k.
-5
Let r(u) = -u**2 - 9*u - 2. Suppose 16 = -3*v - 2. Let d be r(v). Solve q = -m - 1, -4*q - d = -0 for m.
3
Let l = 119 + -113. Solve -3*c = p + 7, -l*p - 5*c - 11 = -4*p for p.
2
Suppose 0 = 757*u - 748*u - 27. Solve 4*n = -2*f - 14, 12*n = -u*f + 8*n - 17 for f.
-3
Let b(h) = -h**3 - 6*h**2 + 5*h - 11. Let q be b(-7). Solve -q*o - z = -18, o + 4*o - z - 22 = 0 for o.
5
Suppose -4*f - 10 = 5*k - 8*k, 0 = -4*k + 5*f + 12. Let j be ((-35)/(-14))/(k*3/(-12)). Solve x - 2*x + j*g = 6, 2*x + 5*g - 3 = 0 for x.
-1
Suppose -3*i = -i. Suppose i*h = -3*h + 4*t - 12, -h = -t + 3. Solve -5*n = -5*b + 22 + 28, -3*n + 2*b - 25 = h for n.
-5
Let u(z) = -z**3 + 8*z**2 - 12*z - 2. Let j be u(6). Let t be ((-30)/(-12))/((-1)/j). Solve -d = t*g + 6 + 12, -d = -3*g - 14 for d.
2
Suppose 0 = -3*i + 2*i - 3*l + 28, -4*i + 64 = -4*l. Let b be (-18)/(-5) - (-2)/5. Solve b*d + 30 = 3*s + 7, -s - 4*d = i for s.
1
Let s be -4 - ((0 - -4) + (-240)/20). Solve -5*l = -s*a, -3*a = -7*l + 3*l + 1 for l.
4
Let m(d) be the third derivative of d**5/60 - d**4/24 - 5*d**3/3 + 18*d**2. Let k be m(5). Solve 4*j = -0*j + 4, -k = -3*v - j for v.
3
Suppose 22 = -v - 0*v. Let l = -20 - v. Solve -l*x - x - 11 = -y, -3*x = -4*y + 26 for y.
5
Let n(c) = c**3 - 36*c**2 - 79*c + 117. Let j be n(38). Solve -5*k = 2*b + 11, -3*k = -j*b + b - 3 for k.
-1
Suppose -23*u + 61 = -8. Solve -4*k - 11 = -4*v - 39, 18 = 2*k - u*v for k.
3
Let b(r) = -6*r + 4*r - 6*r - r**2 + 2*r. Let t be b(-5). Solve q + 14 = 5*x, -t*q - 3*x + 2 = -4*x for q.
1
Let l(w) = w**3 - 10*w**2 - 11*w + 2. Suppose -4 = 2*f - 26. Let h be l(f). Solve -2*c - h*n = 6, 3*n + 12 = 2*c - n for c.
0
Let b = 97 - 92. Solve 4*g - x = -0*g - b, 1 = x for g.
-1
Suppose 2*t - l + 10 = 0, 0*t - 4*l + 24 = -4*t. Let q(p) = p**2 + 6*p + 10. Let v be q(t). Solve v*o + o - 4*y = -12, -3 = -o - y for o.
0
Let d = -9 + 11. Suppose -2*t = 3*c + 19, 5*t = 3*t + d*c + 6. Let i be t/(-4) - (-264)/16. Solve 0 = 5*l + 2*s + i, l - 4*s - 1 = -0*s for l.
-3
Let q = 5 - 4. Let g be 10 - (3 - 2/q). Suppose -5*z + 1 = -g. Solve -3*v + 4 = -3*j - z, 17 = 5*v + 2*j for v.
3
Suppose 2*v + 83*v = 1445. Let j be (7/2 - 2)*2. Solve 4*r - 5*m = v, j = 2*r - r - m for r.
-2
Let w = 249 - 141. Suppose 124 = 4*y + w. Solve y*v = 2*a - 0*v - 4, -3*a + 5*v + 6 = 0 for a.
2
Suppose -c + 2 = 4*j - 3*j, -5 = -2*j - c. Solve s = j, 4*d - 5*s + 20 = -d for d.
-1
Let d(k) = k**2 - 6*k - 11. Let x be d(10). Suppose -4*t - 4*r - 3 = -3*t, x = 5*t - 2*r. Solve 0 = -c - t, 11 = 5*y - y + c for y.
4
Let u = 3330 + -3315. Solve -4*t = 4*m + 40, 4*m + 35 = 12*t - u*t for m.
-5
Let z(o) = -o**2 - 17*o - 25. Let x be z(-13). Let q = x - 22. Solve 2 = -3*c - q*u, -c - 11 = -2*u - 3 for c.
-4
Suppose -6*x + 5*v = -4*x - 52, -5*x = -4*v - 96. Let h(m) = m - 13. Let a be h(x). Solve -9 = -a*d, 3*n = 6*n + d - 18 for n.
5
Let s(b) = -2*b**3 - 3*b**2 + 6*b + 5. Let n be s(-3). Let a = -10 + n. Solve -f - 2 = a*u - 14, 0 = -5*u + 3*f + 32 for u.
4
Suppose 0 = 3*x - 5 - 7. Suppose -u = 5*i - 6, -20 = i - 7*i + 2*u. Solve -5*s + 11 = x*f, i*f + f - 16 = 4*s for f.
4
Let j = -6 + 9. Suppose d - 20 = -j*d. Suppose 0*a - d*a = 0. Solve 2*h - 4*z + 8 = a, 2*h + 2*z + 4 = -h for h.
-2
Let x be 184/10 - 34/85. Suppose 14*v = x*v - 16. Solve v*g - j = -6*j - 12, -4*j - 22 = -3*g for g.
2
Suppose 24 = -0*f + 3*f. Let v(q) = -2*q**2 + 18*q - 12. Let u be v(f). Solve 0 = -u*j + 5*c - 20, 5*j - 12 = -5*c - 37 for j.
-5
Let m be 6/(96/(-20))*-4. Suppose 0 = -a - 3, o + m*a = 3*o - 23. Solve -5*u = -o*c, -21 = 5*c + 5*u + 24 for c.
-5
Let k(o) = -2*o - 2. Let z(b) = b**2 + 12*b + 28. Let t be z(-8). Let q be k(t). Solve -7*l + 3*l - 2*s = -q, l + 3 = s for l.
0
Let m be -2*86*(-7)/28. Let i = m - 41. Solve n - 9 = i*v, n - 4*v - 15 = -4*n for n.
-1
Let z be (-8)/(-12) - (-117)/27. Solve l = y + 3*y - 20, 0 = -y + 5*l + z for y.
5
Suppose -5*h + n + 23 = 0, 4*h + n = -3*n + 4. Solve -4*j - 4*s = 32, 0*s = -h*j - s - 23 for j.
-5
Let w be (-6)/(-27) + (-43)/(-9). Suppose -w*o - 135 = -0*o. Let d be 6/o + 238/18. Solve 2*p + 5*b - d = 0, 5*b + 18 = 5*p + 3*b for p.
4
Let g be ((-48)/(-36))/(8/18). Let i(u) = 11*u + 77. Let d be i(-7). Solve g*y + d = -3, 10 = 2*o - 4*y for o.
3
Let n(h) = h**3 - 23*h**2 - 12*h - 286. Let l be n(24). Solve 2*d + l*d - 4 = 4*a, -2 = -2*d for a.
0
Let f = -13 - -19. Let l be f/(-8) + 171/36. Solve -p + 19 = -5*r, l*p + 23 = -5*r + p for r.
-4
Let d = 128 + -124. Solve -5*u + 10 | {
"pile_set_name": "DM Mathematics"
} |
0, -3*x = y + 12. Let p(z) = z**2 - 2*z - 4. What is p(y)?
-1
Let m(h) = h**2 - 6*h + 3. Suppose -4*j - 3*n = -5*n - 4, 3*j - 4*n + 2 = 0. What is m(j)?
-5
Suppose -2*w + 5*o - 18 = -w, 0 = -w - o + 6. Let u(d) = w*d - 2*d - 3 - 3*d**2 - 4*d + d**3 + 2*d. Let g be u(4). Let z(f) = 2*f. Calculate z(g).
10
Let j(g) = 5*g - 3*g + 2*g - g + 3. Determine j(3).
12
Let n(h) = 5*h + 14. Let s(i) = -4*i - 13. Let l(o) = -5*n(o) - 6*s(o). Determine l(6).
2
Let m(d) = d**3 - 5*d**2 + 4*d + 1. Let g be -2 - -2*(-22)/(-4). Let u = 33 - g. Suppose 5*n + 5*l - u = 2*l, l = 5*n - 12. Determine m(n).
-5
Let l(i) = -i**3 - 3*i**2 + 5*i - 6. Let q(u) = -u**2 + u - 1. Let o(z) = l(z) - 4*q(z). Calculate o(2).
-4
Let m(h) = 2 - 5*h + 2 - h**2 + 4. Let n be m(-6). Let r(f) = -4*f**2 + n*f**2 - 4*f - 2 + f**2. What is r(-3)?
1
Let s = -5 + 9. Let c be s/(-6) + 6/9. Suppose c = r + 2 + 1. Let y(z) = z**2 + 4*z - 2. Determine y(r).
-5
Let v(o) be the first derivative of -1/60*o**5 - o**2 + 0*o + 0*o**3 - 1 - 1/12*o**4. Let u(j) be the second derivative of v(j). What is u(-2)?
0
Let b(m) = m**3 - 3*m**2 - 4*m - 2. Let x = 1 - 7. Let w(d) = -d**2 - 7*d - 2. Let t be w(x). Give b(t).
-2
Suppose -5*a - 3 = 22. Let d(k) = k**3 + 4*k**2 - 6*k - 7. Calculate d(a).
-2
Let q(d) = -d**3 + 3*d**3 - 1 + 2 - 2*d**2. Suppose -5*a - 2 = -12. Suppose -a - 3 = 5*u. Give q(u).
-3
Let u(v) = 1 - 3*v + 2*v + 2*v. Suppose -7*i + 10 = 4*h - 6*i, 6 = -h + 4*i. Give u(h).
3
Suppose 9 = y + 2*y. Suppose j = y*j. Let h(m) = -m - 10. What is h(j)?
-10
Let l(k) = -7*k**2 - 2*k + 2. Let z be (-12)/(-28) + 135/(-21). Let d(q) = -8*q**2 - 3*q + 3. Let r(m) = z*l(m) + 5*d(m). What is r(2)?
5
Let x be (-6)/9 + 88/6. Suppose 4*g = -4*r - 24, r - 4*g - x + 0 = 0. Let k(d) = 2*d - 1. What is k(r)?
-5
Let o(c) be the third derivative of -c**6/40 - c**4/12 + c**3/6 + 42*c**2. Determine o(1).
-4
Let v(r) = -4*r**3 - 2*r**2 - 7*r - 2. Let a(w) = -w**3 - w - 1. Let l(g) = -5*a(g) + v(g). Let i be l(2). Let m(s) = 5*s**3 + s**2 - 1. Give m(i).
-5
Let h(s) be the first derivative of -s**3/3 + 3*s**2/2 + 6*s - 8. Give h(5).
-4
Let k(n) = -31*n**2 + 5 + 32*n**2 - 2 + 4*n. Let r(g) = -g**3 - 6*g**2 - 3*g + 4. Let t be r(-5). Let v(u) = -u - 8. Let x be v(t). What is k(x)?
-1
Let i be 2/15 - (4/4)/(-5). Let x(b) be the first derivative of 1 + 4*b**2 + i*b**3 + 6*b. Determine x(-5).
-9
Let i(d) = -d**2 - 6*d + 3. Let x = 22 + -29. What is i(x)?
-4
Suppose 0 = -2*q - 2*m - 4, 4*q + 12 = 5*m + 40. Let j(c) = -3 - 2*c**2 - 5*c - 2*c**q - 2 + 5*c**2. Determine j(7).
9
Let t be 3/(-5) + (-7 - 240/(-25)). Let a(s) = s**2 - 2*s - 1. What is a(t)?
-1
Suppose -4 - 1 = -h. Suppose -k + 5*k + 4 = 5*l, -h*l + 5*k = 0. Let i(q) = l*q**2 - 5*q**2 - 1 + 3*q**2. What is i(1)?
1
Let i(z) = -z**2 + 7*z + 1. Let u be i(7). Let w(r) = 2*r - 16*r - u - 3 + 5. Give w(1).
-13
Let s(v) = 7*v**3 + v**2. Let m(w) be the first derivative of w**2/2 - 9*w - 3. Let i be m(8). Determine s(i).
-6
Let s(f) be the second derivative of -f**5/20 + f**4/3 - f**3/3 + 3*f**2/2 - 3*f. Let m = 3 - 2. Let c = 4 - m. Calculate s(c).
6
Suppose -5*r + 19 = -c, -23 = c - 4*r - 7. Let i(j) be the second derivative of j**5/20 + 5*j**4/12 + j**3 + 5*j**2/2 + 81*j. Determine i(c).
-3
Let f(k) = -k - 2. Let i be f(-6). Suppose -3*b - 9 = -3*w, 0*b + 12 = -3*b + i*w. Let g(h) = -h - 13. Give g(b).
-13
Let j(c) = -c**3 - 4*c**2. Suppose 3 = 2*x + 5. Let o(a) = -5*a**2 - a. Let b be o(x). Calculate j(b).
0
Let d(r) = -14*r**2. Let w(l) = 225*l**2. Let m(o) = 33*d(o) + 2*w(o). What is m(-1)?
-12
Suppose -80 = -3*p - 2*p. Let c = 22 - p. Let a(j) = -j**2 + 5*j + 4. Calculate a(c).
-2
Let g(p) be the first derivative of -2/3*p**3 - p - 6 + 0*p**2. Give g(2).
-9
Let q(f) = -f**2 - f + 1. Let h = 8 + -11. Let d be q(h). Let t(u) = 3*u**2 + 4*u + 3. Let g(b) = -7*b**2 - 8*b - 6. Let k(z) = d*t(z) - 2*g(z). Give k(-3).
0
Let i(h) = -4*h - 5. Let q(m) = 3*m + 5. Let x(r) = -4*i(r) - 5*q(r). Let l be (-3)/6 - 33/(-6). Let d = -1 + l. Determine x(d).
-1
Let t(u) = -u**3 - 3*u**2 - 3*u - 5. Let c be t(-4). Let s = 22 - c. Let k(j) = j**2 - j. Calculate k(s).
2
Let q be 3/(-9) + 21/9. Let n(c) be the second derivative of -1/6*c**3 - 1/10*c**5 + c + 0 + 0*c**q + 0*c**4. Calculate n(1).
-3
Let h(k) = k**3 + 2*k**2 + k + 1. Let a = -35 + 32. What is h(a)?
-11
Let b(f) = -f + 13. Let d(z) = -1. Let r(u) = -b(u) - 4*d(u). Calculate r(0).
-9
Let n = 53 + -52. Let x(p) = -8*p + 1. Determine x(n).
-7
Let x(i) = -6*i**3 - 1. Let k be (-20)/(-6) - 4/12. Let d(c) = c + k + 1 + 4. Let u be d(-9). What is x(u)?
5
Let x = -406 + 406. Let j(y) = -7*y - 7. Let z(u) = -10*u - 10. Let i(k) = -7*j(k) + 5*z(k). Calculate i(x).
-1
Let t(x) be the second derivative of -x**3/6 + 5*x**2 - 41*x. Give t(7).
3
Let g = -72 + 69. Let a(x) = -2*x + 1. What is a(g)?
7
Let y(p) = -p**3. Let r = 13 + -12. Give y(r).
-1
Let f(a) be the second derivative of -a**5/40 + a**4/24 + a**3/3 - a. Let i(q) be the second derivative of f(q). Calculate i(2).
-5
Let t(u) = u**3 - 4*u**2 + 2*u + 3. Let d be t(3). Suppose 31 = 2*g + 5*b, -g - 3*b + 0*b + 18 = d. Let i(v) = -v + 3. Calculate i(g).
0
Let p(m) = 3*m - 1. Let u(c) = c**2 + 3*c + 2. Let k be u(-2). Suppose -4*s + k = 8. What is p(s)?
-7
Let r(h) = -8*h**3 + h**2 - 7*h + 1. Let x(o) = -23*o**3 + 3*o**2 - 20*o + 3. Let k(b) = -17*r(b) + 6*x(b). Determine k(-2).
23
Suppose -4*q = -0*q - 128. Let h be (-1*(2 + -3) - -2)*1. Suppose -h*x + q = x - 5*t, -x - 2*t = 5. Let j(p) = -p**2 + 2*p + 2. Calculate j(x).
-1
Let f = 5 + -9. Let q(v) be the second derivative of -v**3/6 - 2*v**2 - 3*v. Give q(f).
0
Suppose -z = 5*k + 24, -3*z - z - 4*k - 16 = 0. Let c(x) = z + 1 + 4*x + 6*x**2 + x**3 - 1. Calculate c(-5).
6
Let g(l) = -8*l**3 + l**2 + l + 1. Let b = -36 - -64. Suppose 5*y = b - 8. Let w = 3 - y. What is g(w)?
9
Suppose 2*z + 10 = 2*t, -2*t - 2 = 2*z - 0. Suppose 3*f + 15 = -2*l, 3*l + 3*f + 23 = -t*f. Let q(x) = x**3 + 5*x**2 - 5*x. Determine q(l).
-6
Suppose -5*n + 2*i + 11 = 0, 6 = -3*i - 3. Let a(l) = -17*l - 1. Give a(n).
-18
Let l(y) = y**2 - 9*y + 5. Let z be l(8). Let c(q) be the second derivative of q**3/2 + q**2 - q. What is c(z)?
-7
Let r be 2*(3 + 27/(-6)). Let k(u) = 2*u + 1. Give k(r).
-5
Suppose 0 = 3*f + f - 32. Suppose 4*y + 5*q - f = 0, 0 = 4*y - 2*q - q - 8. Let x(i) = -3*i. What is x(y)?
-6
Let p(w) be the second derivative of -w**4/12 + w**3/6 + w**2/2 - 2*w - 10. Give p(1).
1
Let k(w) = -w**2 + 2*w + 4. Let r = -66 + 69. What is k(r)?
1
Let q(d) = 0 + d - 3 - 3*d. Suppose -2*k + 12 = -5*c, 3*k = -3*c - 14 - 10. Calculate q(c).
5
Let p(m) = -m**3 + m**2 - m + 1. Let d(r) = -r**3 + r**2 - r + 2. Let u(c) = -3*d(c) + 2*p(c). Suppose 2*s = 7 - 1. Let n = -3 + s. Give u(n).
-4
Let t(z) = -3*z**3 + z**2 - z. Suppose -8 = -2*m - 6. What is t(m)?
-3
Let a(l) = -l - 7. Let o = -149 - -143. Calculate a(o).
-1
Let b = 5 - -5. Let w be 1/(b/6 + -2). Let y(l) = l - 2. Determine y(w).
-5
Let p(o) = o**2 - 6*o - 11. Let f be (-22)/(-3) + (-8)/(-12). Give p(f).
5
Let m(j) = -j + 12. Let b(q) = q - 10. Let n(f) = -5*b(f) - 4*m(f). What is n(1)?
1
Suppose 0*o + o + 4 = 0. Let l(h) be the second derivative of -1/20*h**5 + 7/6*h**3 + 0 - 1/4*h**4 - 2*h + 3*h**2. Calculate l(o).
-6
Let t be 68/(-51)*3/(-2). Let g(i) = 3*i**3 - i**2 + 4*i - 3. Determine g(t).
25
Let d be (8/(-12) + 0)/(-2). Let c(j) be the first derivative of -d*j**3 - 1/2*j**2 - 2 + j. Calculate c(1).
-1
Let q(u) = -u - 5. Let o(b) = b**3 + 5*b**2 - b - 6. Let j be o(-2). What is q(j)?
-13
Let y(j) = j**3 - j**2 + j - 9. Let b = -10 - -10. Give y(b).
-9
Let b(r) = -r**3 - 5*r**2 + 4*r - 2. Let g(l) = -l**3 + 11*l**2 + 10*l + 18. Let a be g(12). What is b(a)?
10
Let o(j) be the second derivative of j**3/3 - 9*j**2/2 + 42*j. Give o(6).
3
Let b(f) be the first derivative of f**4/4 + 5*f**3/3 - f**2 - 2*f + 3. What is b(-5)?
8
Let y(n) = 4*n - 3 - n**2 - 4*n + 2*n + 2*n. What is y(2)?
1
Let y(m) = m - 3. Let s be y(4). Let c(r) = 2*r - s + 3 + 0. What is c(2)?
6
Suppose -4 = 4*k + 2*l, 3*k - l = 2*l - 21. Let v(s) = s**2 + 8*s + 4. Determine v(k).
-11
Let n(v) = -4*v**2 - v - 2. Let c be (-3)/2 + (-5)/10. Determine n(c).
-16
Let p(w) = 4*w**3 - 5*w**2 + 3*w - 4. Let o(d) = 0*d**2 + 0*d**3 - 3*d + 4*d* | {
"pile_set_name": "DM Mathematics"
} |
less than or equal to 12?
False
Let a = -284 + 31. Which is bigger: a or -249?
-249
Let l = 0 + 3. Suppose -2*y - 104 = 3*n - 4*y, l*n + 129 = -3*y. Which is smaller: n or -39?
-39
Let i(c) = 11*c**2 - c + 2. Let y be i(1). Let h be ((-24)/y)/(2/(-9)). Suppose 4*l + 6 = -3*z + 2*l, -3*z - h = l. Is -2 <= z?
False
Let s(u) = -u**3 + 11*u**2 + 12*u + 3. Let t be s(12). Suppose -t*v = -4*v + 16. Suppose v = -5*k + 7*k. Does k = 7?
False
Let w = 38.2 + -39.2. Which is bigger: -2/89 or w?
-2/89
Let h be (-3)/2 + 7*2. Let w(x) = 2*x**2 + x + 2. Let d be w(2). Which is smaller: d or h?
d
Let x(f) = f**2 + 4*f + 7. Let y be x(-2). Suppose 0 = m - y*i + 2 - 15, 4*m + 2*i = -4. Suppose -11 = 5*s - m. Which is smaller: s or -3?
-3
Let n be ((-10)/(-15))/((-7)/21). Let y be (2 + (2 - n))*(-2)/(-12). Which is smaller: y or 1/145?
1/145
Let m(v) = -11*v + 15. Let q be m(0). Let t(y) = y**3 - 16*y**2 + 12*y + 12. Let z be t(q). Which is smaller: z or -32?
z
Let q(n) = -3*n**3 - n**2. Let u be q(-1). Suppose -u*x + 0 = -34. Is 17 > x?
False
Let h(j) = 2*j - 34. Let r = 3 - -14. Let z be h(r). Which is bigger: z or -4/41?
z
Let c(j) be the second derivative of 0 - 3/2*j**3 - 1/12*j**4 - 2*j - j**2. Let z be c(-8). Do 7 and z have different values?
True
Let s = 29 + -146. Let b = 111 + s. Do b and -0.09 have different values?
True
Let d = 14 - 14. Suppose d = q + q + 14. Let o be (q/(-1))/((-22)/(-44)). Which is smaller: o or 15?
o
Suppose i + x + 4 = -11, i - x + 5 = 0. Let m be (((-8)/10)/2)/((-1)/i). Is m at most as big as 0?
True
Let j = -1676 + 1687. Which is bigger: -3 or j?
j
Let k = 4 + -4.2. Let c = -116.1 - -121. Let j = c + 0.1. Is j less than or equal to k?
False
Suppose -12*m - 14*m = 11414. Which is smaller: m or -436?
m
Suppose 12*n = 7*n + 225. Which is greater: 47 or n?
47
Let i(k) = -20*k**3 + 1. Let t be i(1). Which is bigger: t or -8?
-8
Suppose 0 = t - x - 6, -x - x - 17 = -3*t. Suppose -3*g + t*o = 1 - 26, 5*g - 21 = -2*o. Suppose 1 = g*d - 4. Is -3 less than d?
True
Let w(v) = 18*v + 9. Let m be w(12). Let u be (-285)/m + 1/(-3). Suppose -5*a - 6 = 2*s, a = 4*s - 0*a + 12. Is u at most s?
False
Let v = 30 + -24. Let z be -1 + (v - 2) + 0. Let k be z/((-21)/2 + 0). Is -6 bigger than k?
False
Let g = -1716 - -1715. Is g at most -34/55?
True
Suppose 5*d = -3*m + 72, 3*d + 3*m = 30 + 18. Suppose -3*u - 23 = 4*i, -4*i = -4*u - d - 0. Let a = -7 + 3. Which is bigger: u or a?
a
Suppose 3*y = -170 + 173. Is y at most as big as -2/1661?
False
Let r be (-1)/(-36) - 3/12. Let o = -3594 + 3551. Is o != r?
True
Let n be (-22)/(-44)*(0 - 3/(-420)). Which is smaller: n or -1?
-1
Let h be 20*3/4*(-22)/(-308). Which is smaller: h or 1?
1
Let g be (10/8 + (-2)/8)*2. Suppose 5*t + x = 132, g*x = -t - t + 56. Which is smaller: 27 or t?
t
Suppose -2*a - 6 = 2*z, 5*a + 25 = 5*z - 0*z. Which is bigger: -4/125 or z?
z
Let l = 263 + -244. Does l = 11?
False
Let w = 24 - 19. Suppose -l - w*g + 1 = 0, 0 = g - 3*g - 8. Is 20 less than or equal to l?
True
Let d = -163 + 160. Is d > -3?
False
Let r = -1.97 + 1.855. Let p = -0.015 - r. Let x = -0.83 - -0.8. Which is smaller: p or x?
x
Let t(q) = 3*q**2 + 4*q. Let a be t(-3). Let z = a - 18. Let j be 2*(-3)/(-6)*z. Is j < -2?
True
Suppose -2*d + 5*m = -17 - 41, -4*m = -4*d + 140. Let j = d + -28. Let s(p) = -10*p**3 - p**2 - 5*p - 3. Let q be s(-1). Is q greater than j?
False
Suppose f - 9 = 4*f. Let r be (-7)/f - 16/(-24). Is r smaller than 3?
False
Let f = 0.01 + 22.99. Let t = -19 + f. Let m(x) = -x**2 + 6*x + 8. Let z be m(7). Which is bigger: t or z?
t
Suppose -5*h - f - 1 = 22, 0 = 4*f + 12. Is 0.1 at least h?
True
Let l be (-2)/(16/(-7)) + -1. Let a(c) = c**3 - 2*c. Let t be a(-2). Let s be (t - 10/(-2))/1. Is s greater than or equal to l?
True
Suppose 0 = 3*i - i + 10. Which is smaller: i or -18?
-18
Suppose 18*u - 14*u + 264 = t, 2*u - 4 = 0. Suppose t*x = 277*x - 20. Is 0.1 at least as big as x?
False
Let h be 147/33 - -3*(-2)/(-6). Is 6 at most h?
False
Let u be -2*698*((-28)/(-16) + -2). Are 349 and u equal?
True
Let l be 20*-6*(-6)/8. Let o be (l/(-4))/((-3)/4). Suppose -3 - o = 3*v. Which is greater: v or -10?
-10
Let q be ((-6)/(-8))/1*-40. Let y be q/9*(-18)/10. Let i be ((-14)/(-609))/(4/y). Is 0 at most i?
True
Let t = 41/2 - 231/10. Let d(x) = -x**3 - 6*x**2 + x + 2. Let l be d(-6). Is t not equal to l?
True
Let l be 1/4 + 51/(-172). Let b be -2 - (-3201)/36 - (-8)/24. Let v = b - 87. Which is smaller: l or v?
l
Let x(h) = -h**2 - 9*h - 1. Let n be x(-9). Let l = -0.6 - 7.4. Let t = l + 11. Is n less than t?
True
Let o = -7 + 3. Let k be (-1 + 2)*o*4. Let s = -37 + 22. Which is greater: s or k?
s
Suppose 2146*v = 2148*v - 2. Which is greater: v or -1/71?
v
Let c = -1.385 + -14.615. Which is smaller: c or -1/3?
c
Suppose 3*m = 2*m + 4*g + 4, -m = 5*g + 5. Let c(d) = -d**3 + 3*d**2 - 6*d + 6. Let b be c(2). Is b greater than m?
False
Let a(m) = m**2 + m + 7. Let k be a(-3). Let d = 19 - k. Is d at least 26/5?
True
Suppose -4 = 5*a + 1. Let w = -1870 + 158948/85. Is w >= a?
True
Let o = 0.4691 - -0.0309. Which is smaller: 0 or o?
0
Suppose -4*u = -m + 8, -2*m - 5*u - 122 + 112 = 0. Which is bigger: m or -2/1163?
m
Let k = -3.39 - 23.81. Let q = k - -29. Let g = -0.9 + -0.1. Is g greater than q?
False
Let h(w) = w - 4. Suppose 6*n - 8*n - 24 = 0. Let m = -8 - n. Let q be h(m). Is q < 1?
True
Let c(g) = -g + 1. Let r be c(1). Let y = 3/125 + 147/125. Does y = r?
False
Suppose -3*o + 65 = -2*y - 155, -360 = -5*o + 5*y. Does 77 = o?
False
Let z = 20.253 + -0.253. Which is smaller: z or 0.4?
0.4
Let p = 1834.75 + -1834. Is p < -2/5?
False
Let x = -26/47 + 151/188. Let j = 3 - 0. Let z = 2 - j. Which is greater: z or x?
x
Let g be 2 - (1680/93 + -2). Let r = -14 - g. Suppose -2*w - 3*i = -7*i, 0 = -w - 3*i. Which is smaller: w or r?
w
Let d be 142/36 - 4 - (-6)/27. Which is greater: -3.7 or d?
d
Let p be ((-30)/9)/((-2)/(-6)). Let m = -13 - -18. Suppose -20 = 5*o, -o + 19 + 22 = -m*i. Is p bigger than i?
False
Let j(z) be the second derivative of 3*z**3/2 - 11*z**2/2 - 23*z. Let s be j(4). Is s less than or equal to 26?
True
Let m be (1 - 5)*78/24. Let b = -13 - m. Suppose -2*s + 12 + 24 = -4*y, 4*s - 8 = b. Is y less than or equal to -2?
True
Let d = -27 - -26.79. Let b = -12.21 - d. Which is greater: 2/7 or b?
2/7
Let f(h) be the third derivative of -1/12*h**5 + 7/6*h**3 + 0 + 1/24*h**4 + 5*h**2 - 1/120*h**6 + 0*h. Let l be f(-5). Is 12/11 >= l?
False
Let h = -5 + 10. Suppose s - h = -3*w + 6, -2*s + 10 = 0. Suppose w - 4 = -2*u. Which is greater: 2 or u?
2
Let s(t) = -t + 20. Let c be s(17). Let q(o) = -o + 4. Let y be q(0). Suppose c = h + y. Is h at most as big as -1?
True
Let b be (-102)/(-15) + 1/5. Let s = 15 - -6. Let c = s + -22. Which is smaller: b or c?
c
Suppose 5*h - 10*j = -6*j + 1167, -2*h + 471 = -3*j. Which is smaller: h or -2?
-2
Let s(o) = 4*o**2 - 170*o + 30. Let z be s(42). Is z < -54?
False
Let o = 9 - 173/19. Does -1 = o?
False
Let y be (-80 + 78)*((-654)/(-4))/(-3). Are y and 108 unequal?
True
Let w be 10/(-408)*(-3 + -1). Which is bigger: 1 or w?
1
Let l = -470 - -3757/8. Is l smaller than 16?
True
Suppose 7*v - 51 + 16 = 0. Suppose 15 = v*o + 10*o. Let u = 1.3 - 0.3. Are o and u non-equal?
False
Suppose b - 30 = -0. Let w = -45 + b. Let s be (-55)/52 - w/20. Are 0 and s non-equal?
True
Suppose -5*w = 4 - 14. Let z be 2 - 2 - (w + -6). Suppose -3 = -c - i, -c - z*i + i = -9. Which is bigger: -1/45 or c?
c
Let u = -1.698 - -2.358. Is u less than or equal to -2?
False
Let f = -50 + 53. Let m(x) = -x**3 + 2*x**2 + 4*x. Let r be m(f). Which is bigger: 1 or r?
r
Let o = 12 + -6. Let l = -9.3 + 9. Let c = -0.2 - l. Is o <= c?
False
Let u = 0.0603 + -36.9603. Let y = 40 + u. Which is bigger: y or 0?
y
Let w = 7 - 7. Suppose 0 = 4*z - w*z - 28. Suppose 4*f - z = 1. Which is smaller: f or 3/2?
3/2
Let b(h) = h + 10. Let i = 24 + -32. Let u be b(i). Let s = 1 - 1. Is s >= u?
False
Let z be (2312/(-10))/(9 - 7). Let j = 116 + z. Which is smaller: 1 or j?
j
Let g be -98 + 98 + (-1)/(-266)*-1. Suppose -9*u = -6*u. Is g equal to u?
False
Let p be 6/(-10) - (18 + -17). Suppose 6*o - 2*o = 0, -3*b - 2*o - 3 = 0. Does b = p?
False
Let n(j) = -j - 7. Let i be (0 - 5/2)*2. Let y be n(i). Let p be ( | {
"pile_set_name": "DM Mathematics"
} |
833)/49.
20
Let d = -39133/420 + 559/6. Find the common denominator of -39/266 and d.
2660
What is the common denominator of 89/20 and (-2 - 104/(-54))*(-459)/(-180)?
180
Let r(k) = 2*k**2 + 41*k + 59. What is the least common multiple of r(-23) and 8?
696
Let g(n) = 5*n + 93. Suppose 4*p = 2*j - 52, 2*j = -0*j - 3*p + 17. Calculate the smallest common multiple of j and g(-15).
144
Let j = 96 - 33. What is the smallest common multiple of j and 6?
126
Let t be 12921/(-16) - (6 - 4). Let j = 814 + t. Let r = -340/47 + 15257/1128. Calculate the common denominator of r and j.
48
Let n = -18 + 24. Calculate the least common multiple of n + 2/1 + 2 and 2.
10
Let o be (-2)/5 - (34/(-10) - -4). What is the common denominator of 35/4 and ((8/(-84))/o)/((-8)/129)?
28
Let g be (-2)/(-6) + 51/9. Let n(o) = o**3 - 7*o**2 + 10*o - 8. Suppose 6*d - 3*d = 3*i - 78, 22 = i + d. What is the lowest common multiple of n(g) and i?
48
Suppose -2*k - 5*o = -98, 2 = -0*o + o. Suppose 5*q = 5*u + 15, 10*q = 5*q - 4*u + 60. What is the least common multiple of q and k?
88
Suppose -5*k + 18 = -17. What is the lowest common multiple of (26/(-20))/13 - (-243)/30 and k?
56
Let n = -84 - -92. Let k(r) = r**2 + 4*r - 3. Let w be k(-5). What is the least common multiple of n and -6*(2 + w)/(-2)?
24
Let a(k) = 5*k**3 - k**2 - 1. Let u be a(3). Let m = -195 - -219. Find the common denominator of u/40*m/4 and -107/34.
68
Let g = -28 - -32. Calculate the least common multiple of (0 + 2/2)*130/5 and g.
52
Let y = 16 - -14. What is the lowest common multiple of 30 and y?
30
Let i = -163/60 + 31/20. Find the common denominator of i and 51/4.
12
Let y be (7/18)/(2/11766). Let z = -2279 + y. Let g = 4345/1712 + 16/107. Find the common denominator of g and z.
48
Let t be (12/4)/(1/(-1)). Find the common denominator of 1/22 and (-3885)/2250 - 5/t.
550
Let v = 14 + -2. Let f = 22 - v. Suppose f*r - 7*r - 24 = 0. Calculate the least common multiple of 16 and r.
16
Let t be ((-20)/(-8))/((-2)/164). Let g be (-3 + 0 - t)*-2. Calculate the common denominator of 5/(-4)*g/60 and 149/6.
12
Let m(p) = 82*p - 406. Calculate the least common multiple of m(7) and 48.
336
Let y = 6351/20 + -318. Suppose -3*p + 2*d + 22 = d, 14 = 2*p - d. Calculate the common denominator of y and (646/p + 1)/9.
60
Suppose -4 = -2*m - 2*l, 2*m + 0*l - 2*l = 12. Let z(s) = 7*s**2 + 2*s - 22 + 46 - 25. Calculate the smallest common multiple of z(1) and m.
8
Let d = -150363/266 - -2475/38. Let y = d - -22007/42. What is the common denominator of y and 22/21?
42
Let b(g) = -g**3 + 5*g**2 - g + 2. Let n be b(5). Let t = -30 - n. What is the common denominator of -1 - 1*201/t and -17/8?
72
Let m(z) = -10*z + 4. Let h(w) = -10*w + 4. Let n(o) = -4*h(o) + 3*m(o). Let g be n(4). What is the common denominator of -99/8 and (-15)/g*46 + 0?
24
Let q = -891209 - -139007879/156. Let d = q - -1804/13. Find the common denominator of d and (10/12)/((-3)/(-1)).
36
What is the common denominator of 1228/(-72) + (-1)/9*-2 and 87/190?
570
Calculate the common denominator of -1*5 - (-282575)/56426 and 81/10.
3170
Let n(x) = 504*x + 106. Calculate the least common multiple of n(1) and 10.
610
Let a be 18/(5 + -2) - 2. Let t(w) = -w**2 + w + 1 + 0 + 4 - a. Calculate the smallest common multiple of 26 and t(1).
26
Let v(n) = 2*n**3 + 19*n**2 + 25*n + 10. What is the lowest common multiple of 7 and v(-8)?
14
Suppose -y + 4*y = -27. Let o = 7388/9 - 825. Calculate the common denominator of o and 5 + -1 + (-60)/y.
9
Let t = 1189 + -39199/33. Let u = -83/29 - -3809/348. Calculate the common denominator of u and t.
132
Suppose -7*x + 85 = -125. What is the lowest common multiple of x and 75?
150
Suppose 10*a - 16 - 134 = 0. Find the common denominator of (-72)/(-10) - a/(-75) and -39/4.
20
Let c(g) = -2*g**3 - 2*g**2 - g - 4. Calculate the lowest common multiple of 15 and c(-2).
30
Suppose -7*h + 2*h - 560 = 0. Calculate the common denominator of (1020/18)/(-5)*30/h and 28/11.
308
Let u(q) = 6*q. Let r = -15 + 18. Suppose n + r*n - 2*b = 18, -3*b + 33 = 4*n. What is the lowest common multiple of n and u(2)?
12
Let y = 102131260 - 7863975018/77. Let p = y - -38308/77. Let w = p + -4429/2. What is the common denominator of 39/4 and w?
44
Let m = -162202385752073/269517510 + 145350/998213. Let c = m - -601831. Let b = 151/27 + c. Find the common denominator of 87/14 and b.
70
Let n = -16845931/227 - -74211. Let i = -12020/1589 + n. Let h = -141/71 + 9149/710. What is the common denominator of i and h?
70
Let o(p) = p**2 - p + 1. Let a be o(-2). Suppose a*r - 2*r - 70 = 0. Let x = 1/137 - 422/1507. Calculate the common denominator of x and r.
11
Let f = 11781 - 188593/16. Find the common denominator of 11/36 and f.
144
Let d be ((-6)/2)/((-45)/960). Let f = d + -22. Calculate the lowest common multiple of f and 8.
168
Let o be (-101468)/(-9480) + (-1)/(-3). Let p = o + 5/79. Calculate the common denominator of 121/6 and p.
30
Find the common denominator of (-9 - (-220)/30)/(22/3) and 109/12.
132
Let s be -1*(-10)/4*1914/145. Let z = s + 17. What is the lowest common multiple of 4 and z?
100
Find the common denominator of 155/102 and 1 - -18*88/(-561).
102
Let m be (-30)/9 + 3 + (-40)/6. Calculate the common denominator of -73/8 and m + 7 + (-115)/(-14).
56
What is the common denominator of -50/33 and (2169/(-396) - -8)/(36/32)?
33
Let d be 3/(-12) + 196/16. Suppose m - 9 = 5*r, -5*r = -4*m + 9 + d. Calculate the lowest common multiple of 4 and (m - 0) + -5 + 3.
4
Suppose 0 = -4*l - 14 - 34. What is the common denominator of -56/3 and ((-639)/l)/((-18)/(-3))?
24
Suppose c + 5*h + 21 = 0, 2*c = 5*c + 2*h - 2. Let v(x) = -4 - 2*x**2 + 3*x + x**3 - 2*x**2 + 0*x**3. What is the smallest common multiple of 21 and v(c)?
168
Let c = 12 + -30. Let x be ((-3)/(-2))/((-6)/(-104)). Let s = x + c. Calculate the lowest common multiple of 5 and s.
40
Suppose -3*u + 4*y = -0*y - 5975, 7935 = 4*u + y. Find the common denominator of ((-10)/(-75))/(8/130) and 2/11 - (u/(-275) + -4).
30
Suppose -2*m + 2*d = -230 - 116, 2*m - 352 = -d. What is the least common multiple of 25 and m?
175
Let u = 9236/135 - 1054/15. Calculate the common denominator of u and -95/12.
108
Suppose 6 = u + a, -5*u + 30 = -u - 2*a. Let s(j) = -j**3 + 7*j**2 + 4. Let g be s(u). Calculate the common denominator of -1/4 and 83/(-6) + g/(-12).
12
Let t(j) = -2*j + 8. Let f be t(6). Let y be f/12 - 2/(-6). Suppose y*g + 4 = -g + 2*i, -17 = -4*g - 3*i. Calculate the lowest common multiple of g and 16.
16
Let a(w) = -18*w**2 - 3*w + 7. Let y(q) = -q - 1. Let n(x) = -a(x) - 4*y(x). Let h be n(5). Find the common denominator of h/28 + (-4)/(-14) and 99/2.
2
Let b(h) = h**2 - 18*h + 47. What is the smallest common multiple of 1286 and b(15)?
1286
Suppose 0 = -4*j + 2*l - 32 - 28, 22 = -2*j + 3*l. Let x = j + 17. Suppose x = -4*t + 12, -o + t + 19 = 6*t. What is the least common multiple of o and 2?
4
Suppose 0 = 5*l + 2*m + 20, 4*l = -0*m + 4*m - 16. Let n be (l/4)/(4/(-8)). Calculate the common denominator of -23/18 and (-2)/(236/(-74) + n).
198
Let m = 197 + -131. Let u be 71364/(-9)*(-9)/m. Let f = u + -1082. What is the common denominator of f and -13/9?
99
Suppose -2*o = 3*b - 829, -b - 158 + 1405 = 3*o. Let u = 1627/4 - o. Find the common denominator of u and 51/8.
8
Calculate the lowest common multiple of 80 and 10/(-8)*(-121 + -167).
720
What is the common denominator of (65/9)/((-418)/(-114)) and 27/70?
2310
Suppose 6*y = -9 + 81. What is the least common multiple of 127 and (-3*28/y - -4) + 13?
1270
Find the common denominator of (-4 - -3) + (-369)/(-828) and 99/2.
92
Find the common denominator of -37/588 and (-357)/(-63)*6/18.
1764
Let m = 46 - 54. Let g(l) = -4*l - 28. Calculate the lowest common multiple of 10 and g(m).
20
What is the lowest common multiple of (-704)/(-880)*-2*(-1 - 74) and 24?
120
Let b = 49/6 + 37/3. What is the common denominator of ((-208)/10)/(66/(-15)) and b?
22
Let l(x) = x**3 - 25*x**2 - x + 35. Calculate the smallest common multiple of l(25) and 80.
80
Suppose 0 = -20*s + 17*s. Suppose 5*d - 4*b - 20 = s, -4*d + 16 = -b - 0*b. Calculate the smallest common multiple of d and 11.
44
Let c = -3 + 9. Find the common denominator of (5 - 8) + (-76)/48 and (-5)/4*(-38)/ | {
"pile_set_name": "DM Mathematics"
} |
125*d, -3*o - 5 = -d for d.
5
Solve 0 = 4*b + 10019*p - 10018*p + 11, -4*p - 1 = -7*b + p for b.
-2
Solve 0 = -a + 4*k - 9, 2*a - 73*k + 74*k + 18 = 0 for a.
-9
Solve 6 = -w - 5*i - 24, 0 = -5*w - 4*i - 3 for w.
5
Solve 2*g - 112 = 4*a - 90, 5*a = -6*g - 2 for a.
-4
Solve u + 77 = 4*m, -42 = 14*m - 16*m + 4*u for m.
19
Solve l + 137029*r + 2 = 137030*r, 5*l - r - 6 = 0 for l.
2
Solve v + 11 = -h, 0 = 3*v + 5*h + 24 + 25 for v.
-3
Solve -5 = -2*n - 5*g, -g + 24 = -n + 30 for n.
5
Solve -3*x = -3*f, x - 337*f + 2 = -334*f for x.
1
Solve 0 = -2*y - o - 3, -4*o + 156 = 128 for y.
-5
Solve 0 = 3*z + 2*l + 8, -61*z + 65*z = 7*l + 28 for z.
0
Solve 4*j + 0*j - 18 = 2*o, -6*j + 4*o = -28 for j.
4
Solve -k - 5*c - 87 = -51, -c = -2*k + 5 for k.
-1
Solve -365 + 367 = -2*t - 4*k, 2*t = -2*k for t.
1
Solve -51*o - 23 = -9*w - 52*o, 3*o - 23 = -4*w for w.
2
Solve 72*y + 2*p + 14 = 70*y, -5 = -58*p + 57*p for y.
-12
Solve h + 3*v + 25 = 6*h, 19*h - 23 = -3*v for h.
2
Solve -4*m = -5*u - 16, 10*u + 16 = 4*m + 12*u for m.
4
Solve 3*a + 5*b + 11 = 0, 3*b + 2753 = 2759 for a.
-7
Solve 2*k = -10*t + 4, 4*k + 5516 = -5*t + 5524 for k.
2
Solve -n - 2*p - 338 = -322, 7*n + 28 = 3*n + 4*p for n.
-10
Solve -93*f + 4*m = -89*f + 4, 6 = -5*f + 4*m for f.
-2
Solve -62*g + 61*g = -3*w + 13, 3*w - 9 = -3*g for w.
4
Solve -851*q + 853*q - 30 = 4*l, q - 7 = 0 for l.
-4
Solve -13*s + 4 = -8*s + i, 3*s - 4 = -i for s.
0
Solve 22*o - 23*o = -2*q + 4, o = 4*q - 8 for q.
2
Solve 15 = -y - 5*t, -4*y + 3*t + 185 = 176 for y.
0
Solve -4*c + 59 + 16 = -5*i, 0 = -3*i - c - 28 for i.
-11
Solve 2420 - 2440 = -4*k, k - 29 = -3*l for l.
8
Solve -343 = 2*v - 87*r + 86, -4*v + 37 = 5*r for v.
3
Solve 3*o + 5*l + 27 = -54, 18*l - 13*l + 90 = 0 for o.
3
Solve -2*h - 5*b = -15, -4*b + 9 = -4*h - b for h.
0
Solve 357*z = -2*f + 352*z - 34, -z - 11 = -f for f.
3
Solve -3*w + 3 = 3*p, 78 = -22*p + 4*w - w for p.
-3
Solve 14 = 7*k + 5*l + 42 + 6, -12 = -4*l for k.
-7
Solve -14 = -53*s + 54*s - 2*u, -4*u = -9*s for s.
4
Solve -a = f + 17, 65 = -3*a - 5*f + 6 for a.
-13
Solve 3*a - 22 = -w - 18, 2*a + 6 = -5*w for a.
2
Solve q + 4 = -3*l, 81*q + 2*l = 86*q - 14 for q.
2
Solve -3*y = -5*m - 9, -16*m - 56 = 53*y - 49*y for m.
-3
Solve -30*t - 53 = -26*t + 5*r, 0 = -t - 2*r - 17 for t.
-7
Solve 5*n + 3*k = 4, -3*k = -3392 + 3383 for n.
-1
Solve 4*t - 5*i = -31 + 25, i = t + 1 for t.
1
Solve -3*b - 28 = 5*t, 7*b + 3*t = 12*b + 24 for b.
-6
Solve w = 538*g - 533*g + 81, -g - 33 = 4*w for g.
-17
Solve j + 2 = -f, 0 = 2*j + 38*f - 33*f + 10 for j.
0
Solve -5*m = -3*l + 17, -3*m = 227*l - 228*l + 7 for m.
-1
Solve 3*f + b - 15 = 0, -3*f = -b - 116 + 101 for f.
5
Solve 2*s = 6, -4*a - s - 41 = -60 for a.
4
Solve 121*j + 137*j = 248*j - 3*y - 52, 5*j = -y - 24 for j.
-4
Solve 10*a = 5*b - 40, 11*b - 15*b - 2*a = -2 for b.
2
Solve 370*q - 369*q = j, 0 = 4*q + 5*j - 27 for q.
3
Solve 3*p = -2*a - 3 + 5 + 4, 3*p = 0 for a.
3
Solve 2 = 2*p + 3*u, -1010 = -7*p - 5*u - 1003 for p.
1
Solve -n = -a - 0*a + 746 - 713, 4*a - 20 = 0 for n.
-28
Solve 0 = 3*a - 3*s + 9, -6*a - 8 = 462*s - 466*s for a.
2
Solve -z + 16 = -5*s, -4*s + z - 63 = -50 for s.
-3
Solve -10 = -3*r + 4*u, 53*u - 56*u - 13 = -5*r for r.
2
Solve 3*g + 68 = 74, -4*g + 14 = 2*f for f.
3
Solve 3*g + 3 = 0, 5*b + 366 - 361 = 5*g for b.
-2
Solve -4*j - 112 = -442*h + 446*h, -5*j = -3*h - 52 for j.
-4
Solve 4*f - 37 = -5*s, -190*s = -4*f - 194*s + 32 for f.
3
Solve 5*q - q = -5*k - 14, -5*k - 10 = 0 for q.
-1
Solve 18 = -9*g + 12*g + 2*t, -2*t + 22 = 4*g for g.
4
Solve 2*x - 4*c = 4*x - 6, 4*x + 16 = -c for x.
-5
Solve -i + 2*x = 4, -2*i + 53 - 49 = -x for i.
4
Solve -d - 376 = 3*z - 364, -40 = 5*z - 5*d for z.
-5
Solve -710*b + 705*b + 4*a - 16 = 0, 20*b - 2*a + 78 = 0 for b.
-4
Solve 0 = -3*o + f + 7, 5*o + 5*f - 68 + 23 = 0 for o.
4
Solve 3500*r = -2*q + 3525*r + 71, 0 = 4*q - 5*r - 7 for q.
-2
Solve 2*h + 18 = 169*o - 165*o, -7*o = 3*o - 40 for h.
-1
Solve 13*l = -3*v + 8*l + 1, 7*l - l + 6 = 0 for v.
2
Solve -5*r + 10 = -5*g, 1226*g - 1224*g + 19 = 17*r for r.
1
Solve -28 = -7*n, 0 = 2*h + n - 91 + 95 for h.
-4
Solve 709*b - 702*b + 4*y = 15, -5*b = -y - 3 for b.
1
Solve -4*w + 3*f = -16, -3*w = -8*f - 11 - 24 for w.
1
Solve -400*k + 4*j - 12 = -396*k, -3*k + 23 = 5*j for k.
1
Solve -47 = -3*c + 2*u, 3*c + 3*u - 214 = -157 for c.
17
Solve -n = 3*z + 21, -11 = 3*n - 28*z + 24*z for n.
-9
Solve 2317*o - 2321*o + 22 = 3*d, 3*d - 2 = o for d.
2
Solve 4*h - 5*y = 20*h + 52, 4*h - y = 2*h for h.
-2
Solve 2*m - 2 = 4*f, -4*f + 42*m + 7 = 37*m for f.
-2
Solve -655*i - 6 = 2*h - 651*i, 4*i + 16 = 0 for h.
5
Solve c = -5, -2*v + 5*c - 5620 + 5653 = 0 for v.
4
Solve 2*q = -4*n - 22, 0 = 5*n + q - 4 + 27 for n.
-4
Solve -d - 24 = -5*n, 3*d - 18 = -1256*n + 1253*n for d.
1
Solve 2*g + 266 = -3*r + 227, -4*r - 2*g = 50 for r.
-11
Solve -27*n + 22*n = 4*h + 9, -3*h = n - 7 for n.
-5
Solve -2*k + 49 - 45 = 4*t, -5*t = 5*k - 5 for k.
0
Solve k = -4*r + 533 - 530, 3*r - 1 = -k for r.
2
Solve -4*g - 26 = 120*m - 118*m, 19 = -3*m - 2*g for m.
-3
Solve -9*s - 2*s - 4*p - 8 = -15*s, 5*p + 5 = 0 for s.
1
Solve -4*b = -64*l + 66*l + 20, -3*l - 2*b - 38 = 0 for l.
-14
Solve 5*d - 213*x + 215*x = 20, -14*x - 20 = -5*d for d.
4
Solve 5 = 5*w, -135*w + 11 = 4*v + 132*w - 272*w for v.
4
Solve 0 = 3*g + m, 4*g + 0 + 22 = 6*m for g.
-1
Solve 28 = -k + 4*o, -143*o - 32 = 3*k - 142*o for k.
-12
Solve -5*j - 31 = f, -2526*j + 2529*j + 45 = -5*f for j.
-5
Solve -266*u + 271*u - w - 148 = 0, -3*u + 3*w = -96 for u.
29
Solve -4*o + 65 = -5*v, -3*o - 326 = -3*v - 365 for v.
-13
Solve -3*l - 5 = c, -3*l - 19 = -22*c + 21*c for c.
7
Solve -30 = -5*u + 10*u + 10*z, 4*u - 31 = 3*z for u.
4
Solve -6*b - 4*r - 4 = 0, -b + 4*r - 21 = -25 for b.
0
Solve 313*t + 8*z + 4 = 315*t, 5*t = z + 10 for t.
2
Solve 5*v + 2*f = 0, 267*v - 272*v - f = 0 for v.
0
Solve 4*p = -32, 6*t + p - 47 + 37 = 0 for t.
3
Solve 5*w + 5*t + 60 = 0, t = -w + 6*t + 26273 - 26237 for w.
-4
Solve 5*k + 131*x = 126*x + 30, 25*k - 72 = x for k.
3
Solve 3*h + 8 + 11 = 12*j - 8, 5*j + 3*h = 41 for j.
4
Solve m = h + 5, 0 = m - 2*h + 28 - 35 for m.
3
Solve -3*y = 3*g + 21, -5*g + 3449*y = 3451*y + 17 for g.
-1
Solve 1307*j + 4 = 1309*j, 0 = -f - 3*j + 3 for f.
-3
Solve b = -3*z - 441 + 502, -2*z + 2*b = -46 for z.
21
Solve -3*f - 69 = 3*k, 199 - 119 = -4*k + 8*f for k.
-22
Solve -23 = 4*f - 3764*j + 3763*j, -31 = 5*f - 2*j for f.
-5
Solve 2*j = 4*p + 6, 309 = -3*p + 4*j + 317 for p.
-4
Solve 515 = 3*j + 2*p + 522, 4*j + 8 = -3*p for j.
-5
Solve 614*y - 610*y = 2*t + 22, 16*y - 3*t - 73 = 0 for y.
4
Solve 3*g - 5 = 2*k, 698*g - 702*g + 4*k = -12 for g.
-1
Solve 36*s = 9*s + u + 31, 2*u + 7 = -s for s.
1
Solve -2*t = -5*j + 24, 391*t + 2*j + 24 = 389*t for t.
-12
Solve 0 = -7*j + 3*u - 80, -297*u + 293*u + 59 = -5*j for j.
-11
Solve -2*s = -3*d - 13, 0 = 15*s + 5*d - 193 + 13 for s.
11
Solve 4*l - 162*n + 159*n + 18 = 0, 0 = -5*l - 2*n - 11 for l.
-3
Solve 6*r = 3*l - 24, -r + 1 + 4 = 4*l for r.
-3
Solve 2*m + 3*a - 7*a + 16 = 0, 0 = -3*m + 3*a - 18 for m.
-4
Solve 0 = -5*v - 5*c + 105, -7*v + 5*c + 989 = 1154 for v.
-5
Solve -3*m + 90 = -4*g, 34*m - g = 36*m + 17 for m.
2
Solve -450*o + t - 16 = -447*o, 3*t - 12 = 0 for o.
-4
Solve -4*j + 3*p = 1 + 24, 0 = -3*j + 5*p - 27 for j.
-4
Solve -2*q + 3*j = 27, 820*j = -4*q + 823*j - 27 for q.
0
Solve -96*d + 98*d + 5 = t, 2*d + 26 = 4*t for d.
1
Solve -27 = h - 5*f - 8, 2*f - 3 = 5*h for h.
1
Solve 5*y + 25 = -5*w, 3*y - 25 = -720*w + 725*w for y.
0
Solve -22 = 237*a - 226*a, -7*n = -6*n + 3*a + 1 for n.
5
Solve 7*z - 4*z - 9 = p, 4*p + 33 = 9*z for z.
1
Solve 12 = 3*r - 3*a, 31*a = 32*a + 2 for r.
2
Solve 199*l = 5*o + 201*l + 49, o - 5*l - 82 = 0 for o.
-3
Solve 40 = 5*x - 4*c, 2207*x + 28 = 2204*x - 8*c for x.
4
Solve -4*b - 161 = -46*g - 33, g = -3*b - 25 for b.
-9
Solve -4 = 4*x - 4*h, 0 = -1044*x + 1051*x + h - 33 for x.
4
Solve 5*a - 2*i = 21, 0 = -2*a + 49*i - 52*i + 16 for a.
5
Solve 3*k - v - 22 = 0, k - 12*k + 4*v = -79 for k.
9
Solve -11*g - 8478 = -m - 8508, 5*g - 12 = m for g.
3
Solve 1251*z - 1253*z = 3*w + 15, -5*z - 20 = 4*w for w.
-5
Solve -9*y = -2*x - 17, 2*x + 22 - 23 = 3*y for y.
3
Solve -3*l - 1 = -2*m, 6*m + 50 = 2*l + 32 for l.
-3
Solve -2*r - 571*v + 567*v | {
"pile_set_name": "DM Mathematics"
} |
i**(-135/14)
Simplify ((s**(-2)/s*s**(-7))/(s/(s/s**(-1/6))*s**2))**(4/9) assuming s is positive.
s**(-142/27)
Simplify (r*r/r**(-15/2)*r*r**(1/24))/((r*r/r**13)/(r/(r**(-17)/r*r))) assuming r is positive.
r**(949/24)
Simplify b/(b**(-1/19)/b)*b**9*b/(b*b**36/b)*b**(-12) assuming b is positive.
b**(-683/19)
Simplify j*j/j**(-2/51)*j*j**(-7/5)/j*j*j**(-12)*j/j**7 assuming j is positive.
j**(-4172/255)
Simplify ((n*n**(-1/10))**32)**(-15) assuming n is positive.
n**(-432)
Simplify (p*p**(1/16)*p**1)/(p**(-4/9)/p*p*p/(p**(2/21)*p)) assuming p is positive.
p**(2623/1008)
Simplify ((v/((v/(v/(v**(-2)/v)))/v))**21)**(4/21) assuming v is positive.
v**20
Simplify (d**5)**(-1/21)/(d**(10/9)*d*d*(d*d/d**(-4/7)*d)/d) assuming d is positive.
d**(-373/63)
Simplify s**9/s**(1/15)*s**22*s*s/((s**(-6)*s)/s) assuming s is positive.
s**(584/15)
Simplify (k*k**(4/7)*k*k*k*k**(-2/5)*k/(k*(k*k*k**2*k)/k)*(k*k*k*k**(-1/3))/k*k)**(5/8) assuming k is positive.
k**(149/84)
Simplify (((k**4)**42)**20)**(-2/9) assuming k is positive.
k**(-2240/3)
Simplify w/(w/(w**(3/2)/w))*w/(w**(-4/3)/w)*(w/(w/(((w*w**(-3))/w)/w)))**(-39) assuming w is positive.
w**(959/6)
Simplify (h*h**(-18)*h)/(h/((h*h*h/(h/h**(-2/5)))/h))*(h/h**(-6))**(-46) assuming h is positive.
h**(-1692/5)
Simplify (v**32/(v**(-36)*v))/((v/v**(-8))/v**(1/2)) assuming v is positive.
v**(117/2)
Simplify ((g**(2/7))**(-9/7)*g**(4/7)/(g*g/(g*g**(3/2))))**14 assuming g is positive.
g**(69/7)
Simplify (((i*i**(-7/8)*i*i)/i)/i**(4/13))**46 assuming i is positive.
i**(1955/52)
Simplify (j/(j*j*(j*j/j**(-9/11))/j)*(j*j*j**(1/22))/j)/((j/j**(-3/23))/j)**30 assuming j is positive.
j**(-2877/506)
Simplify ((s**(-1))**36*(s/(s*s*s/(s/(s/s**3))))/(s*(s**(-5)*s)/s))**(47/2) assuming s is positive.
s**(-1457/2)
Simplify ((w/w**(3/17))/w*w*w/((w**(-3/5)*w)/w))/(w**(-20)*(w/(w**(-3/16)*w)*w)/w) assuming w is positive.
w**(30241/1360)
Simplify ((l*l*((l**16/l)/l)/l*l*l**(-13)/l)**29)**4 assuming l is positive.
l**232
Simplify ((q**4*q**(-4))**(-1))**34 assuming q is positive.
1
Simplify (((q**(1/25))**(-4/25))**(18/11))**(8/3) assuming q is positive.
q**(-192/6875)
Simplify ((g*g/((g*g**(-8))/g)*g**(-1/6))**(3/26))**(-2/9) assuming g is positive.
g**(-59/234)
Simplify ((k*k/(k/(k**(-26)*k))*k)**(-21))**(24/5) assuming k is positive.
k**(11592/5)
Simplify (b**(-1/2))**(3/11)/((b/(b*b**(-2/5)))/b*b*(b*b*b/(b/(b/(b/(b*b**6*b)))))/b) assuming b is positive.
b**(-1049/110)
Simplify ((i*((i/(i/(i*i**(-1/10))*i))/i)/i)/i)**(1/8)*(i**(-2/21)/i)/(i*i/((i*i**(-20))/i)*i) assuming i is positive.
i**(-40921/1680)
Simplify ((u**35*u)/(u*(u*(u*u**(-2/85)/u)/u)/u*u))/(u*u*u**(-2/105))**29 assuming u is positive.
u**(-40027/1785)
Simplify (i**12/i**(-10))/(i**(-5)/(i*i**(2/9)*i)) assuming i is positive.
i**(263/9)
Simplify ((k/(k/(k/k**0)))**(-35))**(-1/43) assuming k is positive.
k**(35/43)
Simplify (s**(1/13))**(-11/2)/((s*s*s*s**(-11))/(s/(s**(3/11)*s))) assuming s is positive.
s**(2089/286)
Simplify g**(-15)*g*g/(g**(-3)*g)*(g**(-1/2)*g)**(2/55) assuming g is positive.
g**(-604/55)
Simplify ((((t*t/t**(-6)*t*t)/t)/t)/t)**(1/39)/(t*(t*t**(3/2))/t*t**(1/8)) assuming t is positive.
t**(-763/312)
Simplify (u**(-1/32)*u*u**(5/6)*u)/(u*(u/u**(2/7))/u*u*u**10/u) assuming u is positive.
u**(-5317/672)
Simplify c/(c**(-9)/c)*c**21/c*c**(-16)*c**(-6/13) assuming c is positive.
c**(189/13)
Simplify (((s*s*s**4)/((s/s**(-2/25))/s))**4)**8 assuming s is positive.
s**(4736/25)
Simplify (w*w/(w*(w*w**(4/7))/w)*w)**(1/68)*w**(-13/4)/((w*w**26*w)/w) assuming w is positive.
w**(-14389/476)
Simplify ((g**(-3/16))**(-44))**(-40) assuming g is positive.
g**(-330)
Simplify (u**(-4/9)*u*(u/u**(-3/14))/u)/(u*u/(u/u**(1/7)*u)*(u*u**(3/4))/u*u) assuming u is positive.
u**(-283/252)
Simplify ((p**(3/4)*p*((p/(p*p/p**(1/8)))/p)/p)/((p/(p**(-2)*p*p*p)*p)/(p*p**(1/4)*p)))**(15/7) assuming p is positive.
p**(15/56)
Simplify (b**(-3/8))**(4/11)/(b**(-7)*b*(b*(b*b**(-30)*b)/b)/b*b) assuming b is positive.
b**(745/22)
Simplify (r/(r*(r/r**(2/39)*r)/r))/(r**(-5)*r)*(r*r**(-2))**(-14/11) assuming r is positive.
r**(1855/429)
Simplify (q*q**(-1/2)*q*(q**(-2)/q)/q)/(q**(-1/12)/q**(-10/7)) assuming q is positive.
q**(-323/84)
Simplify q**(-6)*q**1*q*q**(4/3)*q*q**(27/2) assuming q is positive.
q**(71/6)
Simplify ((z/z**(-1/6))/(z*z**(2/9)*z*z*z))/(z**(-5/7)*(z/(z**(-1/3)/z))/z) assuming z is positive.
z**(-463/126)
Simplify (h**(-1)/(h*h**(-6/5)*h*h))/(h**(-17))**(-7) assuming h is positive.
h**(-609/5)
Simplify q**(2/27)/(q*q/((q/q**(2/7))/q)*q*q*q)*(q**(-2/53)/q)/((q*q/(q*q/(q*q**(1/7)*q*q)))/q) assuming q is positive.
q**(-84065/10017)
Simplify (q**4)**(-8)/((q/q**9)/(((q**(-9)*q)/q)/q)) assuming q is positive.
q**(-34)
Simplify ((b/(b*b**4))/b**(3/13))/(b/(b**2*b*b*b))**(-9) assuming b is positive.
b**(-523/13)
Simplify (q*q**(-12/5))**43/(q**(-3/13)*q**(-30)) assuming q is positive.
q**(-1948/65)
Simplify (h**(-10))**(3/8)/(h*h/(h/(h**(-2/5)/h))*h)**(-13/6) assuming h is positive.
h**(-49/20)
Simplify (b**(1/3))**(-6)*b**(3/8)*b*b*b**2 assuming b is positive.
b**(19/8)
Simplify ((b**(1/3)*b)**(-8)*((b/(b**1/b))/b)**(4/33))**40 assuming b is positive.
b**(-1280/3)
Simplify (w**(-2/11))**(-2/53)/(((w**(-22)*w*w*w)/w*w)/w**(-12)) assuming w is positive.
w**(4085/583)
Simplify (y*y**(-1/4))**16/(y*y**(-12)*(y*(y*(y*(y/(y/(y/((y*y*y/y**(-4/3)*y*y)/y*y)))*y)/y)/y)/y)/y) assuming y is positive.
y**(85/3)
Simplify (n*((n/(n*n**5))/n)/n*n**8*(n**(1/2)*n)/n**(-4))**(-1/71) assuming n is positive.
n**(-15/142)
Simplify (y/y**6)**37*(y/(y**(-7/3)*y*y))/(y**(-8/5)/y) assuming y is positive.
y**(-2716/15)
Simplify (k/((k**(-10)*k)/k)*k*k)**(-2/25)*(k**(-8/3))**(-50) assuming k is positive.
k**(9922/75)
Simplify (q**(-3/5)/q**(2/11))/(((q/(q*q*q**(1/6)*q*q*q*q))/q*q*q)/q**2) assuming q is positive.
q**(1777/330)
Simplify (i**(4/13)/(i**(2/9)*i*i))/((i*i/i**(-1))/i**(-3/8)) assuming i is positive.
i**(-4951/936)
Simplify (y**(10/9))**(-2/7)/(((y/(((y*y**(-11))/y)/y))/y)/y**(-2/97)) assuming y is positive.
y**(-75398/6111)
Simplify ((s**8*s*s**(-2)/s)/(((s/(s/((s*s**(-2/7)*s*s)/s*s*s*s)))/s)/s**(1/5)))**8 assuming s is positive.
s**(696/35)
Simplify (q**(14/3)*q*q**(-2/9)/q)/(q/(q/(q**(-9/5)/q))*q*q*q/(q/(((q/q**15)/q)/q))*q) assuming q is positive.
q**(911/45)
Simplify p**(-10/9)/p**13*(p**(-3/7))**19 assuming p is positive.
p**(-1402/63)
Simplify (d/d**(2/27))/(d*(d*d**10)/d*d)*d*d*d**(-13/2)*d**18 assuming d is positive.
d**(131/54)
Simplify (o**(-1/7)*o*o**1/o)/(o**(-1/2)*o)**(-3/17) assuming o is positive.
o**(225/238)
Simplify (n**(2/5))**16/(n*((n**(1/5)*n)/n)/n*n**(-1/10)) assuming n is positive.
n**(63/10)
Simplify (((v*v/v**(1/4))/v)**(2/5)*((v*v**(2/19))/v)/(v*v*v**(-7)*v*v))**5 assuming v is positive.
v**(647/38)
Simplify ((j*j*j**(-2/5))**(-31/5)*(j**(2/9))**(-27))**32 assuming j is positive.
j**(-12736/25)
Simplify ((d/((d/(d**(-1/4)/d))/d))**(-40)/(d/(d/(d/(d*d**(-1)*d)))*d*d)**(-41))**(-3/23) assuming d is positive.
d**(-12)
Simplify (f*f*f**9*((f/f**(3/14))/f)/f)/((f/(f*f**(-1)/f*f))/f*f**(-1/13)) assuming f is positive.
f**(1795/182)
Simplify (d*(d/(d*d*d/d**(1/7)*d))/d)**48*d**31/(d**29*d) assuming d is positive.
d**(-953/7)
Simplify ((v*v**(-22))/v**(-1))/((v*v**(-26)*v)/(v*v**2)) assuming v is positive.
v**7
Simplify ((u**6*u**(2/3)/u)/(u/((u*(u**(-1)/u)/u)/u))**(-28/3))**19 assuming u is positive.
u**817
Simplify (p**(-8/5))**(-12/13)/(p**(-6/5)*p*p**(-12)) assuming p is positive.
p**(889/65)
Simplify ((t*t*t**(2/23)*t*t**(-1/9))**(-10))**23 assuming t is positive.
t**(-6160/9)
Simplify ((x/(x**(-13)/x))/((x*(x**(-13)/x)/x)/x))/(x*(((x/x**1)/x)/x*x)/x*x**9) assuming x is positive.
x**22
Simplify ((b/((b**(-14)*b)/b))**(4/7))**(3/7) assuming b is positive.
b**(180/49)
Simplify ((z*z**(-5))/z)**(-1/9)/((z/(z/(z/(z**(-1/7)*z*z)))*z)/(z*z**(3/2))) assuming z is positive.
z**(367/126)
Simplify (((p*(p/(p/(p*(p*p**(-11))/p)))/p*p)/p)/p*(p*(p/(p*p**(-2)*p))/p)/p)/(p/p**(4/5)*p*p**29) assuming p is positive.
p**(-206/5)
Simplify d**6/d*d*d**(12/13)*((d**9/d)/d)/d*d**2 assuming d is positive.
d**(194/13)
Simplify (h**(-2/3)*h**(5/2)/h*(h/h**(3/5)*h*h)/((h/h**(3/7))/h*h))**(-3/19) assuming h is positive.
h**(-559/1330)
Simplify (j/j**(-1/3))**3/(j**(-8/3)/((j/(j/(j/(j*j**( | {
"pile_set_name": "DM Mathematics"
} |
, g
Suppose 5 = h - 4. Suppose -2*b + 3*a + h = -5*b, 5*b = -2*a - 6. Suppose 3 = -f + 4. Put f, 5, b in descending order.
5, f, b
Let p = -20 - -40. Let w = -28 + 103. Let g be w/p - 3/(-12). Put 1, g, -5 in decreasing order.
g, 1, -5
Let y = 841 + -890. Sort y, 1, -4 in decreasing order.
1, -4, y
Let i = 22 + -23. Let d be 4/(-1 - -3) - 2. Suppose -3*t - 12 = -0*t. Put t, d, i in descending order.
d, i, t
Let s be -7 + -14*9/(441/(-14)). Sort -1, s, 5 in increasing order.
s, -1, 5
Let g = -0.182 - -1.682. Sort 1/3, 0.2, 0.1, g in increasing order.
0.1, 0.2, 1/3, g
Let s be ((-2)/4 - 0)*-8. Let i(p) = -p**3 - 10*p**2 + 10*p - 9. Let x be i(-11). Let g be (-6)/x*2 + (2 - 1). Put 5, s, g in descending order.
5, s, g
Suppose -3*o = -15, 2 = 4*h + 2*o - 12. Put -2, -1, h, 0.5 in descending order.
h, 0.5, -1, -2
Let r = -603.6 - -604. Put -5/2, 3, r in increasing order.
-5/2, r, 3
Let s = 893 + -894.5. Sort 1/11, 1, 0.05, s.
s, 0.05, 1/11, 1
Let f = 6/19 + 7/38. Let v = 28.1 - 27. Let a = 2.9 + v. Sort f, -7, a.
-7, f, a
Suppose 4*t + c = -385, -3*t + 6*c - 10*c = 305. Sort 3, 0.1, t in ascending order.
t, 0.1, 3
Let g = -0.14 - -1.24. Let c = g - 0.9. Let k = 0.07 + -0.77. Sort k, -1, c in descending order.
c, k, -1
Let l = -0.61 + 0.01. Let z(x) = -x**3 - 7*x**2 - 6*x - 2. Let u be z(-6). Put -1, u, l in descending order.
l, -1, u
Let n be (5/(-25)*1)/((-2)/(-10)). Put -75, 5, -4, n in decreasing order.
5, n, -4, -75
Let z = -44 - -134/3. Let s be (-316)/5 + (-1)/(-5). Let c be ((-2)/(-3))/(s/27). Sort z, -0.4, c in increasing order.
-0.4, c, z
Suppose -2*q = -3*z + 8, -3*q + z + 0*z = 12. Suppose 0 = -2*i + 7*i - 5. Sort i, -5, q.
-5, q, i
Suppose -145 + 497 = 8*n. Sort 2, n, -5.
-5, 2, n
Let m = -0.5 - -1. Let x = 1139/4 + -285. Sort 2/9, m, x in increasing order.
x, 2/9, m
Let c be (-1)/6 + -1 + 62/12. Let l = 8 - 3. Let b = 2 - 7. Sort c, l, b in descending order.
l, c, b
Let w = 117/2552 - 1/88. Sort 2, w, 12 in decreasing order.
12, 2, w
Suppose 0 = 10*l + 183 - 193. Let p be 2 + -1 - (-1)/(-1). Put l, -3, p in descending order.
l, p, -3
Let m = 0.4 + 0.1. Let c = -0.083 - -0.013. Sort -0.3, m, c in decreasing order.
m, c, -0.3
Let t = 43442 - 43447. Let q(p) = -p**2 + 5*p + 2. Let g be q(6). Sort g, 0, -1, t in ascending order.
t, g, -1, 0
Let u be (-200)/(-14) + (-8)/28. Suppose -29 = -p - u. Let f be 3/(-9)*10/p. Put f, 1/3, -0.02 in descending order.
1/3, -0.02, f
Let i = -6553 - -6555. Let r = 2 + -2. Put r, i, 11 in descending order.
11, i, r
Let z = -86 + 73. Sort 2, 1/4, z, 1.
z, 1/4, 1, 2
Let r = -254.2 - -254. Let t = 152 - 1974/13. Put t, 0, r in descending order.
t, 0, r
Let n be (-3*(-2)/18)/((-2)/(-18)). Suppose 0 = 5*p - 8 + 3. Put -4, n, p, -5 in increasing order.
-5, -4, p, n
Let l be 1*(2/(-2) - -2). Sort -2, 0, -5, l in descending order.
l, 0, -2, -5
Let v = -0.3 + -0.2. Let j = -8.91 + 0.11. Let b = -9 - j. Put b, v, -4/5 in descending order.
b, v, -4/5
Suppose 3*j - 4*j = -p - 8, -2*j + 12 = 2*p. Let c be -8*4/(-1 - j). Suppose -3 - 5 = -c*r. Sort 5, 8, r in increasing order.
r, 5, 8
Let n = 1.76 - 1.9. Let u = n - 2.86. Let b = 7 + -7. Put 0.14, u, b in ascending order.
u, b, 0.14
Let l = -1206 - -1203. Sort l, -1, 2, 71 in ascending order.
l, -1, 2, 71
Let h be 1 + 0 + -5 - 150. Put 0, -4, h, 2 in ascending order.
h, -4, 0, 2
Let u = -0.626 + 4.626. Let y = 2.5 - 2. Sort u, 0.2, y, 1/4 in descending order.
u, y, 1/4, 0.2
Let y = -1147 + 8033/7. Let i = -1.6 + 0.6. Sort i, y, -2/9.
i, -2/9, y
Suppose -3*p + 432 = -0*p. Let h = p + -143. Put h, -16, 0, -2 in increasing order.
-16, -2, 0, h
Let c be (-1035)/414*122/5. Sort 4, c, 5, 2 in ascending order.
c, 2, 4, 5
Suppose 2*d = -2*d - 84. Let m = -20 - d. Let l be m + 0 + (-9 - -8). Sort -1, 2, l.
-1, l, 2
Let i = 23.7 + -24. Put -1/5, 0.09, i in ascending order.
i, -1/5, 0.09
Let b be 6/(-21) - 4/(-14). Let i be (-124)/(-28) - (-18)/(-42). Sort 3, b, i, 5.
b, 3, i, 5
Let p(v) = -v**3 - 18*v**2 + 31*v - 2. Let d be p(2). Put -7, 2, d in increasing order.
d, -7, 2
Suppose 0 = -2*s - 2*g - 3*g + 4, g - 10 = -5*s. Put s, -3, 12, -1 in increasing order.
-3, -1, s, 12
Let v = 3 + -5. Suppose -5*a + 10 = 0, -3*b + 4*b + 3*a = 3. Sort 0, b, v, -1 in decreasing order.
0, -1, v, b
Suppose 0 = 4*a - 6*a + 6. Suppose -a*o - 3*b + 3 = 0, 5*o - 1 = 2*o - 5*b. Sort 3, o, 0 in decreasing order.
3, o, 0
Let d be 7/(-14) + (-123)/(-6). Let o be (3 - 1)*d/(-8). Let z = -3 + 2.5. Sort -3, o, z.
o, -3, z
Suppose -375 = -5*w - 400. Suppose 2*x + r = -3, 0 = 2*x - r - 3*r - 2. Put 7, 4, w, x in increasing order.
w, x, 4, 7
Suppose 1027*n + 4 = 1028*n. Put -1, -4, n, 2 in decreasing order.
n, 2, -1, -4
Let q(a) = 2*a**3 + 14*a**2 + 3*a. Let h be q(-6). Let i = h + -49. Sort i, -21, -3 in descending order.
i, -3, -21
Let s = -0.27 - -0.301. Let b = -2.969 - s. Sort b, 2/15, 4 in descending order.
4, 2/15, b
Let m = 0.3 - 0.6. Let x(j) = -j**3 - 3*j**2 + 5*j. Let g be x(-4). Let d be 2/(-9) + g/(-9). Put d, -2/7, m in decreasing order.
d, -2/7, m
Let b be (-3)/(((-84)/16)/7). Put -1, b, -3, -5 in increasing order.
-5, -3, -1, b
Let u be 3/(-2) + (2 - 1). Let s = 4969 - 4973. Sort u, -3/2, -3, s in descending order.
u, -3/2, -3, s
Let c = -12 - -7. Let w = -906.1 + 906. Put w, -3, c in decreasing order.
w, -3, c
Let l(z) = -2*z - 3. Let f be l(-4). Let g be (-35 - -27) + 3*3. Put g, f, 0 in descending order.
f, g, 0
Let d be (-7)/2*(-1 - 1). Suppose 9*h - d*h = -6. Put 3, h, -2 in decreasing order.
3, -2, h
Let b be (-45)/(-42) + (-19)/38. Sort 0.5, -2, 3/4, b in ascending order.
-2, 0.5, b, 3/4
Let d be (15/70)/(2/(-4)). Let y be (-1)/3 - 49/(-63). Put y, -3, d in descending order.
y, d, -3
Let g be 0 + 1 + (-2)/((-296)/(-140)). Put 2/7, -3, g in increasing order.
-3, g, 2/7
Let r(w) = -9*w**2 + 20*w + 92. Let u be r(-4). Sort u, 2, -4 in descending order.
2, -4, u
Let f(u) = -u**3 - 4*u**2 - 3*u. Let l be f(-2). Let v be ((-16)/6 - -2)/l. Let o = -349 - -348.6. Put o, -2, v in increasing order.
-2, o, v
Let m(o) = -o**2 + 6*o - 6. Let d be m(4). Suppose 5*y - 11*y - 198 = 0. Let l = -35 - y. Put l, d, -4 in decreasing order.
d, l, -4
Let l = -35 + 34. Let q = -12.3 + 12. Let y = 0.9 + -1. Put q, l, y in descending order.
y, q, l
Let i = -930 + 930.2. Sort -0.2, i, -8/15, 0 in descending order.
i, 0, -0.2, -8/15
Let a(p) = -p**3 - 7*p**2 + p + 13. Let j be a(-7). Suppose j*m - 60 = 4*m. Let f be (-1)/(-5) - (-54)/m. Sort -2, f, 0 in increasing order.
-2, 0, f
Let r(h) = -h**2 - 7*h + 11. Suppose 3*w = 2*w - 8. Let p be r(w). Put p, -2, -4 in increasing order.
-4, -2, p
Let w = 4 - 3.7. Suppose 4*t - 12 = -60. Let y be (t/9 - 0)*1/2. Sort y, w, 4.
y, w, 4
Let h = 9 - 11. Let c = 12 - 11.7. Let g = c - -3.7. Put -0.4, h, g in decreasing order.
g, -0.4, h
Let b be (-4)/(-10) - 13/20. Let y = 171/5 - 34. Sort -12, y, b.
-12, b, y
Let a(r) = -r**2 - 26*r + 6. Let b be a(-25). Put 1, b, -5 in descending order.
b, 1, -5
Let c = -43 + 649/15. Sort -2/5, c, -0.2, 0.
-2/5, -0.2, 0, c
Suppose 0 = 4*u - 3*c - 15, 5*u - 25 = -0*c + 5*c. Let g be ((-2)/8)/(0 + u - 1). Sort 0.3, -1, g.
-1, g, 0.3
Let s = 8 - 5. Suppose -4*t = -5 - s. Let g = 17842 + -17839. Put 0, t, g in decreasing order.
g, t, 0
Let v(a) = -4*a**2 - a + 6. Let w be v(3). Let i = -34 - w. Sort 4, -2, i in ascending order.
-2, i, 4
Let u = 0 + 3. Suppose u*o - 20 = -2*o. Let d be 6/4*o/33. Put d, -1, -3 in decreasing order.
d, -1, -3
Let m = 1 - 3. Let v(b) = b**2 + 12*b + 6. Let s = 36 + -47. Let q be v(s). Put m, -4, q in descending order.
m, -4, q
Let u(y) = 2*y + 5. Let t be u(9). Suppose 15 = 5*r - 3*o - 2*o, -12*r + 4*o = 12. Put 1, t, r in descending order.
t, 1, r
Let z = 103.7 - 104. Put 1/6, -2/9, -0.021, z in increasing order.
z, -2/9, -0.021, 1/6
Let d = -3 - -2.7. Let m = 0.8 + d. Sort 0.08, -5, m in descending order.
m, 0.08, -5
Suppose -81*d + 182 = -88*d. Sort 1, d, -4 in increasing order.
d, -4, 1
Let o = -373 + 375. Put -65, 0, 4, o in descending order.
4, o, 0, -65
Let b = 2.4 + 7.6. Let x = -4 + b. Let r = -6.4 + x. Put r, 2/11, 1/2 in decreasing order.
1/2, 2/11, r
Let o = -689 - -689. Put 5, o, -3, -1 in decreasing order.
5, o, -1, -3
Suppose 5*p - 4 = p. Let m(b) = -2*b - 20. Let d be m(-12). Suppose 2*c + 18 = 3*a | {
"pile_set_name": "DM Mathematics"
} |
actors of o.
2, 3
Let m be ((-4)/4)/2*4*-27. What are the prime factors of 2*m - ((-2 - 5) + 9)?
2, 53
Let v = 733 + 317. List the prime factors of v.
2, 3, 5, 7
Suppose 0 = -2*r - 2 + 4. List the prime factors of ((-381)/6 - r)/((-6)/8).
2, 43
Let z = 35 + -19. Let r = z + -71. List the prime factors of 36/10 + 33/r.
3
Let z be 18 - ((-16)/(-7) - (-18)/(-63)). Suppose 0 = 10*a - 11*a + z. What are the prime factors of a?
2
Let n(v) = v + 14. Let f be n(-12). Suppose -5*w = f - 12. Suppose 9 = s + w*s. List the prime factors of s.
3
Let g(y) = 2*y**2 - 8*y + 43. Let x be g(4). Let h be 197/4 + (-1)/4. Suppose h = 4*d - x. What are the prime factors of d?
23
Suppose -25*t = -26*t + 6. Let o(z) = 2*z - 10. List the prime factors of o(t).
2
Suppose 5*t + 81 = 11. Suppose 4*q + 23 = 5*w + 145, 0 = -4*q + 12. Let f = t - w. What are the prime factors of f?
2
What are the prime factors of ((-7)/14)/(6/(-2424))?
2, 101
List the prime factors of -6 - (-599)/1 - 5.
2, 3, 7
Let t(l) = 13*l**2 - 44*l + 171. What are the prime factors of t(14)?
3, 701
Suppose 0 = -2*w - 0*w + 18. Suppose -2*j = -6, -2*j + 1206 = w*h - 4*h. List the prime factors of h.
2, 3, 5
Suppose -3*h = h - 28. Let y(o) = -o + 2 + 2*o + h*o**2 - 4*o**2. List the prime factors of y(3).
2
Let z(b) be the first derivative of 2*b**3/3 - 2*b**2 - 5*b + 11. Suppose -4 = -v + 3*v. List the prime factors of z(v).
11
List the prime factors of 410 - ((-5)/(-25) + 52/(-10)).
5, 83
Suppose -17*y + 5816 = -13*y. What are the prime factors of y?
2, 727
Suppose -3*q + 227 = 5*j, 2*q - 3*q - 4*j = -85. Let s = 157 - q. What are the prime factors of s?
2, 11
Let y = -86 + 285. What are the prime factors of y?
199
Suppose f + 21 = -5*q - 13, 0 = 5*f - q + 144. Let m(s) = -s**2 - 7*s - 8. Let p be m(-6). Let d = p - f. What are the prime factors of d?
3
Suppose -4*h + p - 6 + 21 = 0, -4*p = h + 9. Suppose a - 5*a - 11 = h*l, 0 = 3*l - 3*a - 24. Suppose 2*y + 12 = l*y. List the prime factors of y.
2, 3
Suppose j - 2*g - 258 = -13, -3*g - 970 = -4*j. List the prime factors of j.
241
What are the prime factors of (-39072)/(-40) + (-3)/(-15)?
977
Let x(d) = d**3 + 3*d**2 + 3*d. Let q be x(-3). Let n = 5 + q. Let g = n - -23. List the prime factors of g.
19
Let h be 6/12*(2 + -2). Suppose 2*w + h*t + 16 = -5*t, t = 4*w - 12. Suppose -20 = -w*q + 60. List the prime factors of q.
2, 5
Suppose 238 + 8 = 6*q. What are the prime factors of q?
41
Let b be (105/30)/((-1)/(-72)). Suppose 3*f = 2*l + b, 5*l - 154 + 579 = 5*f. List the prime factors of f.
2, 41
Let p be (6 - 1)*12/20. Suppose -4*d = -p*d - 68. What are the prime factors of d?
2, 17
Let k = 5 - -1. List the prime factors of (-3)/(-6)*k/(-1) + 70.
67
Let t(f) = -f**2 - 14*f - 12. Let k be t(-13). What are the prime factors of k/(-3 - -7) + (-283)/(-4)?
71
Let g(k) = -k**3 - k**2 + k + 187. Let x be g(0). Let h = x - 124. List the prime factors of h.
3, 7
Suppose 4*z = -0*z + 8. Suppose -3*b = -z*b - 3. Suppose 4*g - 4*q - 110 = -2*q, -b*g + 4*q = -75. What are the prime factors of g?
29
List the prime factors of (-70)/4*(-15336)/378.
2, 5, 71
Let u(r) = -r + 31. Suppose 4*h = -h. Suppose -4*d + 6*d = h. List the prime factors of u(d).
31
Let c = 9 - 3. Suppose 0 = c*t - t. Suppose -a + 0*a + 60 = t. List the prime factors of a.
2, 3, 5
Let b(l) = l**3 - 10*l**2 - 9*l - 21. Let m be b(11). Let y be (-200)/(-9) + (-2)/9. What are the prime factors of (1 - 0) + y + m?
2, 3
Let y = 682 - 120. What are the prime factors of y?
2, 281
Let g(c) = c**2 - 12*c - 9. Let f be g(13). Suppose -f*y + 20 = -5*d, -3*d - 2*d = -2*y. List the prime factors of (8/y)/((-22)/(-55)).
2
Let h = 175 + -45. List the prime factors of h.
2, 5, 13
Let q = -25 + 37. Let f(x) = 16*x - 1 + 2 + 7*x**2 - 8*x**2 + 2. List the prime factors of f(q).
3, 17
Let c = -39 - -41. Let v(y) = 29 - c*y - y**3 + 19*y - 5 - 15*y**2. List the prime factors of v(-16).
2
Suppose -4*h = -0 - 36. Suppose 0 = h*t - 7*t - 64. What are the prime factors of t?
2
Let h = 387 + -100. List the prime factors of h.
7, 41
Let b be -4 + (0 - -3) - 4. Let n(r) = r**3 + 5*r**2 - r + 1. Let y be n(b). Suppose -y = -2*v - 0. List the prime factors of v.
3
Let q(j) = -j**3 + 5*j**2 - j + 7. Suppose -p + 5 = -0. Let n be q(p). Let o = n - -24. List the prime factors of o.
2, 13
Suppose u + 0*u = m + 13, -3*u = 4*m - 74. Let g = u + -17. List the prime factors of (8/(-24))/(g/(-81)).
3
Suppose 10*m - 873 - 577 = 0. What are the prime factors of m?
5, 29
Let n(u) = -6*u + 13. Let k be n(2). List the prime factors of ((-264)/72)/(1*k/(-15)).
5, 11
Suppose 3*p = 6*p - 201. Suppose -523 + p = -8*c. Let s = 122 - c. What are the prime factors of s?
5, 13
Suppose q + 140 = -2*g, 3*g + 205 = -q - 3*q. List the prime factors of g/(-3)*((-12)/(-2) + -3).
71
Suppose -4*k - 4*v + 120 = 0, 3*k + 2*v - 5*v = 60. Suppose -5*o + 185 = -k. List the prime factors of o.
2, 3, 7
Suppose -g = -4*t + 15, -t = -2*g - 2*g. Suppose -s = -t*s + 153. What are the prime factors of s?
3, 17
Let r(f) = -2*f - 4 + 7*f**2 + 3 - 6*f**2. Let i be r(3). Suppose -i - 2 = -a. List the prime factors of a.
2
Let z(u) = -u**3 + 10*u**2 - 11*u + 10. Let l be z(9). Let g be 94/l - (-2)/(-8). List the prime factors of ((-16)/g)/(4/24).
2
Suppose -5*m + 9 = -6. Suppose -5*f - m*s = -240, f + 4*f + 4*s = 245. List the prime factors of f.
3, 5
Let f(m) = 4*m - 1 + m**2 + 0*m - 9. Let q be f(5). Suppose w - 2*w + q = 0. What are the prime factors of w?
5, 7
Suppose -2*f - 17*v = -20*v - 6493, 3*v = 4*f - 12977. List the prime factors of f.
2, 1621
Suppose -9*d + 4*d = 4*i - 647, -5*i - 5*d = -810. What are the prime factors of i?
163
Let p = -35 + 46. Suppose g + 7 = p. What are the prime factors of g?
2
Let s = -27 + 29. Let w(m) = 2*m. Let r be w(s). What are the prime factors of 2/(r + (-42)/11)?
11
Let l(x) = -12*x + 8. Let p be l(-4). What are the prime factors of p/(2 + 2) + 1?
3, 5
What are the prime factors of (22/44)/((-2)/(-2544))?
2, 3, 53
Let g(i) = -i**3 + 6*i**2 - 3*i + 1. Let b be g(2). Let s = 23 - b. Let f = 44 - s. What are the prime factors of f?
2
Let l = 24 + -78. List the prime factors of (-2472)/l + (-2)/(-9).
2, 23
Let h = -2 - -2. Let y be 0 + (-4)/4 + h. What are the prime factors of y*(-17 - 2) - -3?
2, 11
Let w(k) = -k**3 + k**2 + 3*k + 2. Let z be w(-2). Suppose 5*b = 7 + z. Suppose b*t = -x + 26, 4*x - 6*x + 7 = t. What are the prime factors of t?
3
Suppose -4*c = -3*n - 6*c + 3404, -n = -4*c - 1116. List the prime factors of n.
2, 283
What are the prime factors of ((-3)/2)/((-74)/205424)?
2, 3, 347
Let v be -4 + 1 + 12 - 4. Suppose 5*w - 6*z + z = 565, -4*z = -v*w + 562. What are the prime factors of w?
2, 5, 11
Let k = -681 - -1201. What are the prime factors of k?
2, 5, 13
Let y(d) = d**3 - 9*d**2 - 18*d + 30. Let i be y(11). Let a = -42 + i. What are the prime factors of a?
2
Suppose -c - 2 = -6, -2*q + 408 = 3*c. Suppose q = 19*r - 17*r. What are the prime factors of r?
3, 11
Let l(p) = p**3 - 3*p**2 - 3*p - 1. Let z be l(4). Suppose -z*q + 2*t = 2, -3*q - 4 + 1 = -3*t. Suppose q = -d - 0*d + 69. What are the prime factors of d?
3, 23
Let a = 44 - 42. Suppose a*t - 57 = 107. List the prime factors of t.
2, 41
Let v(f) = -f**2 + 17*f + 8. Let z be v(9). Suppose u - 2*u + z = 0. List the prime factors of u.
2, 5
Let p = 3 - -12. Suppose p + 9 = b. What are the prime factors of b?
2, 3
Let u(r) be the third derivative of -31*r**4/24 + 2*r**3/3 - 36*r**2. List the prime factors of u(-3).
97
Let c = 18 + -13. Suppose y - c*g = 4*y - 123, -2*y - g = -89. Suppose 0 = 2*n - y. List the prime factors of n.
23
Suppose -15 = -5*j, 27 = v + 2*v + 4*j. Suppose -v*x = -0*x - 25. List the prime factors of x.
5
Suppose -3015 = 12*b - 17*b. What are the prime factors of b?
3, 67
Let v(t) = -t**3 + 4*t**2 - 6*t + 4. Let u be v(2). Suppose u = -2*y - 5 + 21. List the prime factors of y.
2
Let x = -1147 + 2425. Suppose 10*s - x = 4*s. List the prime factors of s.
3, 71
Let o(m) = 28*m**2 - 10*m**2 + 3*m - 2*m. What are the prime factors of o(-3)?
3, 53
Suppose -6*k + 14 = -16. Suppose k*v + 51 = 161. What are the prime factors of v?
2, 11
Suppose -7*u + 10 = -18. Let f(a) = -a**3 + 14*a**2 - 4*a - 3. List the prime factors of f(u).
3, 47
Suppose r | {
"pile_set_name": "DM Mathematics"
} |
s = w - -3.68. Let o = 16 + s. Do -0.06 and o have the same value?
False
Let c be -1 - 2 - (-2)/5*10. Which is greater: c or -26?
c
Suppose 537 - 261 = 23*c. Let w(h) = h**2 - 6*h + 4. Let n be w(7). Which is bigger: n or c?
c
Let k = -1 + 0. Let s = -2907 + 2884. Which is greater: s or k?
k
Let j be (-4)/(-1) + -3 - (-1695)/75. Which is greater: j or 23?
j
Suppose -5*l + 137 = 3*i, -4*i + i + 129 = 3*l. Let t be (1 + 3)/((-145)/(-1450)). Which is greater: t or i?
t
Suppose 18*m + 994 + 662 = 0. Is m bigger than -92?
False
Let x be (1 - 175/(-9))*-3. Let o = x + 62. Let p be (12/16)/((-18)/16). Do p and o have different values?
True
Let p(c) = c**3 + 10*c**2 - 12*c - 2. Let r be p(-11). Is r at least as big as 16?
False
Suppose 0 = 4*n - 4, n + 2*n = -2*v - 69. Let m = -72 - -37. Which is smaller: v or m?
v
Let o(y) = y**2 + 11*y + 12. Suppose -2*f + 28 = -2*q, -3*q - f - 17 = 5. Let c be o(q). Is c greater than or equal to -2?
False
Suppose 20*b - b = 741. Is 45 <= b?
False
Let u(t) = -t**2 + 2*t + 3. Let l be u(4). Let o = -28 - -31. Suppose 0 = 6*d + 39 - o. Is d less than or equal to l?
True
Suppose 4*s - 6*s + 3*c - 12 = 0, 5*s - c + 4 = 0. Let w(f) = f**2 + f - 1. Let v be w(-3). Do s and v have different values?
True
Let q = 6 + -5. Let s = -9 + 64. Let u = s - 57. Which is smaller: u or q?
u
Suppose 0 = 23*b - 14*b. Let g = 216942 + -9763502/45. Let s = -118/5 - g. Which is smaller: s or b?
b
Let j(h) = -74*h - 547. Let d be j(-5). Do -181 and d have different values?
True
Let l = 469/5 + -93. Which is bigger: l or -2?
l
Let c(t) = -t**3 - 11*t**2 - 10*t - 18. Let b be c(-9). Let z be (-8)/34*(-9)/b. Are z and 1 equal?
False
Let p = 403/9 - 224/5. Let d = -4 - -3. Are p and d equal?
False
Suppose 0*l - 5 = -l. Suppose -1 = -4*o + 3, -4*c - l*o + 17 = 0. Suppose 0*i + c = 3*i. Which is bigger: i or 2/15?
i
Suppose p = -2*p. Let a be (0 - p)*(-14)/28. Suppose a*f = 4*f. Is f greater than or equal to 2/5?
False
Let n = -15025/154 + 682/7. Let i be 9 + -9 + 3 + -35 + 31. Which is smaller: i or n?
i
Suppose 0*s - s - 3 = 0, 2*x = 3*s + 9. Suppose 0 = -5*p + 3*o + 4, 9 = -3*p - x*p - 2*o. Which is greater: -1/116 or p?
-1/116
Suppose 4*u = 3*g - 2, 5*u - 10*u - 10 = 0. Which is greater: -23/11 or g?
g
Let l be -1 + (0 - -2) - 6. Let w be 374/(-5) - 3/l. Let j = -74 - w. Which is bigger: 1 or j?
1
Let y = 0 + -3. Let j = -0.609 + 0.309. Is y equal to j?
False
Let f = -30.99 - -31.99. Let s = -0.02 - -0.42. Let x = 0.1 - s. Which is smaller: f or x?
x
Suppose 1 = -5*p - 4. Let v be 2*(12/8)/p. Which is bigger: -3/2 or v?
-3/2
Suppose 0*t + 3*t + 6 = 4*u, 0 = -3*u - t + 11. Suppose 5*a = -8*l + u*l + 40, -2*l = -a - 16. Let g be ((-52)/l)/(3/(-6)). Which is greater: 12 or g?
g
Suppose 5*p = 2*s - s + 20, -s - 4 = -p. Which is bigger: s or -277/4?
s
Let c be (-106)/(-60) + 4/10. Suppose l + 4 = 4*x, 0 = 5*x - 6*x - 2*l + 1. Is c greater than or equal to x?
True
Let k(u) = -u - 14. Let w be k(-16). Let c(h) = -4 - 1 + 1 + 1 - h**w + 15*h. Let p be c(15). Is p not equal to -5?
True
Let y = 0.5 - -0.5. Let b = -7.98 + 8. Let h = b + 0.06. Is h equal to y?
False
Let c(j) = 7*j + 225. Let o be c(-31). Which is greater: 5 or o?
o
Let b = -16 + 31. Suppose 0*l + 5*l - b = 0. Suppose 6*t - 5*t = l*f + 13, -5*t - 7 = 3*f. Do 4 and t have the same value?
False
Let d(b) = -2*b**2 - 5*b + 5. Let u be d(-4). Let c be u + 3 + (-462)/(-116). Is 1 <= c?
False
Let b = 4.57 - -0.23. Let m = 4.78 - b. Do m and 0.3 have the same value?
False
Let n be 4 - 1 - 33/12. Let z(j) = 48*j**3 + 3*j - 2. Let t be z(1). Which is bigger: n or t?
t
Let i be 3*1 + 1 - (-684 - -687). Let v = -1.3 + 0.3. Let w = v + 0.96. Is w less than i?
True
Let t(i) = -i**2 - 9*i - 10. Let q be t(-8). Let p = -267/44 + 42/11. Which is bigger: q or p?
q
Let s(c) = 2*c - 12. Suppose -18*w + 8 = -17*w. Let f be s(w). Let r be (-1)/(-3) + f/15. Which is bigger: 1 or r?
1
Let v be -8*4/(-1318)*24/(-96). Is 0 at least as big as v?
True
Suppose 5*k = -2*p - 0*p + 35, -3*p = -4*k - 110. Let s be p/(-7)*(-49)/7. Suppose 7*y = -s - 180. Is y greater than -31?
True
Let l = -10714 - -43373/4. Let y = l + -128. Is y < 2?
True
Suppose -105 = -8*p - 257. Let v be -1*(0 - (p + 4)) + 4. Is 1 greater than v?
True
Let u = -0.0029 - 0.9971. Let m = 1.1 + -0.1. Which is smaller: u or m?
u
Let g(w) = 2*w**2 - 51*w - 26. Let d be g(26). Is -1/76 at most d?
True
Suppose 228*p = 247*p - 19. Is -1/128 > p?
False
Let f be ((-2)/4)/(3/(-18)). Suppose -2*k + 2*v - f*v = -12, -3*k - 3*v + 18 = 0. Let o be (37 + -39)*(-42)/12. Which is bigger: o or k?
o
Suppose 0 = -j + 2*g + 5, 35 = 4*j - 5*g - 0*g. Suppose 1 = 16*f - j. Which is smaller: f or 9/13?
9/13
Let u be (-176)/490 - (-6)/15. Suppose -2*p - 1 = 5, y - 6 = 3*p. Let x be ((-1)/3)/(y/9). Which is smaller: x or u?
u
Let j = -111 - -111.1. Is 10 less than or equal to j?
False
Let b = -23.2 + -208.8. Which is greater: b or 1/6?
1/6
Suppose -96*n - 57 = 39 - 0. Let j be 2/(-6) - 4/(-39). Is n <= j?
True
Let z be -3 - 506/(-3) - (-2)/6. Let p = 69 - z. Which is smaller: -96 or p?
p
Suppose 3*i - 8 = b - 3, 0 = 2*i - b - 4. Let u be (9 - (-2330)/(-270))*6. Is u >= i?
True
Suppose -81*n = -93*n + 48. Is 4 smaller than n?
False
Let h = -0.139 - -0.079. Let j = -1.36 - h. Which is greater: 1/5 or j?
1/5
Let c be 0/(0 - (-3)/3). Let t = c - -12. Let g = -50 - -63. Which is smaller: g or t?
t
Let t be (-2 - 3/(-1)) + 3. Suppose -4*c - 5 = -3*n, -t*n - 3*c + 7*c = -8. Let o be 2*((-18)/(-21))/n. Which is smaller: 1 or o?
o
Let c = -0.161 + -0.039. Is -228 not equal to c?
True
Let q be (-1472)/5 - ((-12)/30 + 0). Which is smaller: -295 or q?
-295
Suppose 17*g + 5*b - 1915 = 12*g, 0 = -5*g + 4*b + 1915. Is g at most 383?
True
Let w = -0.076 + -0.124. Suppose -3*p - 52 = -p. Let n be (-9)/p + 1/(-2). Which is smaller: n or w?
w
Suppose 8*c = 6*c + 378. Let y = c - 444. Let u be (12/y)/((-6)/15). Are -1 and u unequal?
True
Let s = 12 + -8. Let r = -4.12 + s. Let l = 0.22 + r. Are l and -0.06 unequal?
True
Let o = 461 + -462. Let j be 1/(-4)*(-36)/21. Which is smaller: o or j?
o
Suppose 3*q + 3 = -0. Let k = 77 + -50. Let y be k/(-28) - 3/(-12). Which is smaller: q or y?
q
Let k(c) = -c - 5. Let s be k(-6). Let j = 19 + -46. Let y = 27.09 + j. Which is smaller: s or y?
y
Let h(v) be the third derivative of v**4/12 + v**3/3 + v**2. Let j be h(-4). Let y = -2608.1 - -2608. Is y not equal to j?
True
Let g = 83 + -86.8. Which is smaller: 5 or g?
g
Let q = 27 + -36. Let t = q + 12. Is t smaller than -8?
False
Let b = -171/910 + -3/70. Let q be ((-6)/9)/(8/(-12)). Is b at most q?
True
Let g = 370 - 369. Is -4/17 < g?
True
Suppose 5*b - n - 319 = 350, -2 = -2*n. Is b greater than or equal to 134?
True
Let u = -4.94 - 0.06. Let b = -4.5 - u. Let i = b + -0.3. Which is greater: 3/2 or i?
3/2
Suppose 2*c + 0 = 12. Let a = -53 - -83. Let l = 36 - a. Is l bigger than c?
False
Let a = 17250855/7 + -23133807371/9387. Let s = -394/9 - a. Which is greater: -1 or s?
s
Let n = -172.96 + 169. Let h = n + -0.04. Let j = h - -3.98. Which is greater: 0 or j?
0
Suppose -3*u = -3*p, -u = 4*u + 5. Let j = 1034 - 4113/4. Let f = 99/20 - j. Which is smaller: p or f?
p
Let n(b) = 4*b - 2. Let h be n(-2). Let i(l) = l**3 - 18*l**2 + 15*l + 24. Let q be i(17). Let u = q - h. Does -6/11 = u?
False
Suppose 2*w - 19 - 3 = -3*m, 5*w = -20. Let f = m - 4. Is 3 bigger than f?
False
Let j be -3 - (-10)/4*1. Let t = 207 + -214. Which is bigger: j or t?
j
Let p(i) = -2*i - 9. Let r(v) = -3*v**3 + 2*v**2 + 2*v - 3. Let f be r(2). Let m be p(f). Suppose 5*x - 3 = z, 3*z + 51 = 6*z - 3*x. Which is bigger: z or m?
z
Let l = 2.06 + -1.35. Let g = 0.81 - l. Is 6/11 at least as big as g?
True
Suppose -3*q + 4*s + 2 + 0 = 0, -5*q + 46 = 4*s. Let z(i) = 1 + 3*i + 3 - q*i + 1. Let p be z(11). Is p greater than or equal to -28?
True
Suppose -5*o - 62 = 8. Let z(k) = -k**3 + 4*k**2 + 3*k - 3. Let l be z(5). Which is smaller: o or l?
o
Let d(h) be the first derivative of -h**2 - 2*h + 29. Suppose 0*a + 3*g = -5*a - 2, 5*g = 5. Let i be d(a). Is i > 4/15?
False
Let i = -1088713 + 381049843/350. Let m = -98/25 - -39/10. Let j = i - m. Is 0 > j?
False
Suppose 136 = -4*m - 64. Let k be (3/(-4))/(3 + 0). Is k at most m?
False
Let w = | {
"pile_set_name": "DM Mathematics"
} |
on-equal?
False
Let p = -13 - -18. Suppose -2*k - 48 = -p*k. Which is smaller: k or 15?
15
Let b = 23135/6 - 3839. Do b and 16 have different values?
True
Let c(n) = 9 - 10*n**2 - 17*n + n**3 + 0*n + 9 - 6*n**2. Let s be c(17). Which is smaller: 1 or s?
1
Let x = 3236 - 3237. Let g = -22 + 8. Let a be 2/(-3)*3/g. Which is bigger: a or x?
a
Let h = -101 - -101. Is 7 < h?
False
Let g = -0.27 + -0.03. Let o = g + -23.7. Let a = -32 - -65/2. Which is bigger: a or o?
a
Let b(r) = -r**3 - 7*r**2 + 7*r - 6. Let s be b(-8). Suppose -2 = -o, s*o + 0 = w + 13. Which is bigger: -10 or w?
w
Let l = -2.98 + 3. Let v = l - 0. Let t = 75.3 + -75.4. Which is bigger: v or t?
v
Let s = -4/71 + 367/213. Is s not equal to 3?
True
Let z be (-8505)/(-34244) + (7/4)/(-7). Which is smaller: 1 or z?
z
Suppose -o = -2*o + 1. Suppose -v - 78 = -c - 79, 5*c - 1 = 2*v. Does o = v?
False
Let a = 371056/184015 + -3/2831. Let c = -31/9 - -592/117. Let s = c - a. Which is bigger: 0 or s?
0
Suppose -2 = b + 1. Let n be (-73)/(b + (-138)/(-45)). Let t be 6/8*(-40)/n. Which is greater: t or 0?
t
Let n = -0.841 - -0.72. Are 2 and n nonequal?
True
Let s be 1*-3 - (143 + 90). Is -237 greater than s?
False
Suppose 3*h - 4 = -x, x + 7 = -h + 9. Are 4/17 and h non-equal?
True
Let z = 43/35 + 13/35. Which is bigger: 2 or z?
2
Let t = 46 + -45. Which is smaller: 11 or t?
t
Suppose 0 = -42*d + 50*d. Are d and 30/49 unequal?
True
Let o(n) = n**2 + 2*n - 5. Let f be o(-4). Suppose 0*h + h = 3*j - 6, 4*j = -f*h - 5. Let p = -18 - -96/5. Which is smaller: p or j?
j
Let b(q) = -q**3 + 4*q**2 + 4*q - 7. Suppose -5*i - 8 = -23. Let a be b(i). Is 15 bigger than a?
True
Let z = 744 - 360. Let h = z - 1914/5. Which is greater: h or 1/4?
h
Suppose 0 = -4*c - q + 79 + 34, -3*c + 61 = -4*q. Let g = c + -24. Do 13/3 and g have the same value?
False
Let o be (-12)/(-42)*7 + (-40)/13. Which is greater: -2 or o?
o
Suppose -251*w + 176 = -273*w. Are w and 5 unequal?
True
Suppose a + 33 = -4*t, 2*a - 4*a - 4*t = 70. Suppose -5*q = 0, 0 = 3*k - 6*q + q + 6. Is a equal to k?
False
Let h = -229 + 231.13. Is h greater than 1/3?
True
Let i(z) = -z + 13. Let h be i(11). Let q(y) = -5*y + 7. Let x be q(h). Which is bigger: x or -10/3?
x
Let z = 1434.3 - 1434. Are -279/7 and z nonequal?
True
Let o be 1 + -1 + (-35)/(-49). Let m = -6 + 3. Let w(t) = t**2 + 3*t + 1. Let a be w(m). Is a greater than o?
True
Suppose 5*w - 17*w = 276. Which is smaller: -73/3 or w?
-73/3
Suppose -4*o + 10978 = -a, -3*a + 8241 = 3*o - 0*o. Let v = o + -697231/254. Let c = v - -143/4064. Which is greater: 1 or c?
1
Suppose -2*h - 3*w + 65 = 2*w, 20 = 2*h - 4*w. Is 41/2 <= h?
False
Suppose -2*w - 3 = -3*w, 18 = 2*m + 2*w. Let h be 6/(-315)*m*5/2. Which is smaller: h or 67?
h
Suppose -m - 3*r = 2*m - 24, -5*m - 4*r = -42. Let y = 12 - m. Suppose -4*x = y*x. Is x greater than 1/7?
False
Let p = -32.661 - 7.339. Let b(y) = y**2 + y. Let m be b(-1). Is p < m?
True
Let y be (10 + 180/(-24))/((-5)/(-2)). Which is bigger: -4/757 or y?
y
Suppose -p = s + 738, 9*s - 8*s + 3*p = -732. Do -741 and s have the same value?
True
Let u = 280 + -281. Let q = -5.5 + 2.9. Let h = q + 15.6. Which is greater: u or h?
h
Let w be 6/9 - -10*(-78)/1008. Let o(h) = -h**3 + 14*h**2 - h + 13. Let r be o(14). Is r > w?
False
Let i be 0/(-2 - 2/1). Let f be (-5 + 0 - -4)*i. Which is smaller: f or -1/15?
-1/15
Suppose -2*z - f = -7, -3*z + 2*z = -3*f. Suppose -4*j + z + 5 = 0. Suppose -3*h - 4 = -j*h. Which is bigger: -3 or h?
-3
Suppose -7460 = 6*d + 4*d. Let y = 27600/37 + d. Let m(z) = -z**3 - 7*z**2 - 5*z + 7. Let p be m(-6). Which is greater: y or p?
p
Suppose 7*g - 35 = 12*g. Let q = -28 + g. Do -34 and q have the same value?
False
Suppose 0*s = 5*s - 825. Suppose 67 + s = 8*r. Is r <= 29?
True
Suppose -9*u + 8 = -7*u. Suppose -u*j + 3 - 7 = 0. Are j and 1.7 non-equal?
True
Let q(u) = u - 1. Let d be q(13). Let s be (-4)/(-18) - (-696)/27. Let y = -15 + s. Is d greater than or equal to y?
True
Let v be 1/(-2) + 385/(-14). Let l = 48 + v. Let f be (16/12)/(l/6). Is f smaller than 1?
True
Let z(n) = -n + 3. Let j be 2/6 + 30/(-9). Let o be z(j). Let c be (-195)/104*2/5. Which is smaller: o or c?
c
Suppose -b = 2*p + 7, -3*p + 5*p - 5*b = 23. Suppose 5*g - h - 5 = 0, 3*g - 4*h = 4*g - 22. Which is smaller: p or g?
p
Let r = 1001/6 + -166. Let k = 20 + -10. Suppose p - 5*a + k = 1, -10 = -5*a. Is r > p?
False
Suppose -1 = -a - b, -a + 4*a + 13 = 5*b. Suppose -h - 13 = 2*h - 4*j, h = -2*j - 1. Let s be (-6)/(-45) + h/(-315). Is a greater than s?
False
Let a = 3/10 - -51/10. Is a less than 5?
False
Let j = -10 - -24. Let a = 18 - j. Let u = 225/4 - 56. Is u at least a?
False
Let i = 18 - 22. Let o(r) = r**3 + 6*r**2 + 4*r - 8. Let a be o(i). Is a <= 6?
False
Let m be ((-420)/(-52) - 10) + 5/(-65). Does -54/67 = m?
False
Let v be (-189)/30 + ((-1)/(-2) - 0). Are -5 and v unequal?
True
Let z = -10 + 9. Suppose 462 + 498 = -5*m. Let f = 2110/11 + m. Is z less than f?
True
Let f(j) = -j - 9. Let n be f(-8). Let d be n/3*(1 + -9). Let y be ((-156)/(-30) - 6)*-8 - 6. Which is bigger: y or d?
d
Let k be (-4)/14 + (-47685)/1540. Is k greater than -0.1?
False
Let a be 2/(-9) + 4/18. Suppose -6 = 3*i - a*i. Let u be i/4 - (-4)/16. Is -1 < u?
True
Suppose -6*v + 83 = -13. Suppose 7*b = 156 - v. Let u = b - 21. Which is greater: u or -3?
u
Let o = -124.054 + 124. Let b = -0.146 + o. Is -5/2 < b?
True
Let m = 362/1077 - 1/359. Which is smaller: -1/5 or m?
-1/5
Let l be (-1)/2 + 117/(-204) + 1. Is l > -1?
True
Suppose -2 = -4*f + 3*f. Suppose -u - f = u. Let w be (((-15)/5)/(-3))/u. Which is smaller: w or -4/25?
w
Let a = 102.6 + -139.6. Is a bigger than -0.4?
False
Suppose 4*k + 144 = -8*k. Let s be 446/k + 18/108. Is s > -35?
False
Suppose q = -10 + 7, -t = q - 97. Let v = 613/6 - t. Which is bigger: 3 or v?
3
Suppose 14 = 4*g + p, -33*g + 32*g - 3*p + 9 = 0. Let d = -19 - -27. Suppose 4*u - 5 + 3 = 3*o, 2*u + d = -g*o. Is -2 bigger than u?
False
Let i = 2577 + -2574. Let h be (-2)/(-9) - (-556)/252. Are h and i equal?
False
Let c = 85.35 - 85. Let i = 0.28 - c. Is -0.3 equal to i?
False
Let a be 0/(-1) - (-4)/2. Suppose -7 = -3*y - 5*m + 10, 0 = y - 3*m - 1. Suppose -a*f + 3 = 3*q, -y*f - 1 = -q + f. Is -3/10 < q?
True
Suppose -o = 3*p + 9 - 22, -2*o = -p + 2. Is 84/17 > p?
True
Let x(c) = -c**3 - 13*c**2 - 5*c + 5. Let n be x(-15). Is 531 at least n?
True
Suppose 6*y - 72 = -3*y. Let k be ((-3)/9*2)/(y/(-36)). Are -2/7 and k equal?
False
Suppose -7*s + 36 = 1. Suppose -3*c = -s*q + 17, 2*q - 2 = c + 4. Do q and 7/9 have the same value?
False
Suppose -3*j + 5*f = 214, -3*j + 2*j - 66 = -3*f. Let g = j - -44. Which is greater: g or -35?
g
Suppose a = 3*q + 61, 4*q + a + 82 = 3*a. Let t = -12 - q. Let s be -10 + t + 2*2. Is 2/3 equal to s?
False
Let a be (-3)/(-12) - -2*(-33)/(-24). Suppose a*t = t - 8, -5*j + 5*t + 30 = 0. Is -3 at most j?
True
Suppose 0 = -5*v + l + 3*l + 53, 3 = l. Suppose -2*h + 3*b = -v, 0*h - 2*h = 4*b + 22. Let p = -3.01 + 3. Which is smaller: p or h?
h
Suppose -4*t = -t. Suppose 0*g = -2*g - d, 4*d + 16 = 0. Suppose 3 = -g*s - 0*z - z, -4*z - 12 = -s. Are t and s unequal?
False
Suppose 5*f - 82 - 58 = 0. Let m = -60 - -56. Let t be m/(1 + f/(-4)). Which is bigger: -0.3 or t?
t
Let w = -1368 + 1368.2. Are -11/10 and w non-equal?
True
Let u be (-3 + 4)/(3/(-12)). Let b be 891/21 - u/7. Let k = b - 35. Which is smaller: 7 or k?
7
Let k be -1*7 - (-295)/130*2. Is 1 at most k?
False
Let l(w) = w**3 - 7*w**2 - 2*w + 8. Let n be l(7). Let s(f) = f**3 + 5*f**2 - 5*f + 4. Let h be s(n). Let j be 0/(-1 - 0/h). Which is smaller: 2/9 or j?
j
Suppose -5*p + 8*p - 6 = 0. Let k(o) = -3*o + 6. Let j be k(p). Which is smaller: 3/52 or j?
j
Suppose -3*q + 3 = 6. Let m be 0/7 + (q - -2). Let b be (-1 + m)/(10 - 11). Is -3 bigger than b?
False
Let n be (((-38)/(-3))/1)/(60/(-90)). Let c = n - -17. Which is greater: -4 or c?
c
Let a = -126.123 + 0.123. Let j = -128.14 - a. Let f = j - -0.14. Which is smaller: f or 3?
f
Let l be (-27)/18*(2 + 44/(-24)). Is l smaller than -0.0232?
True
Suppose 5*s = 7 + 3. Suppose -3*l = -4*v, 0 = -0*v - s*v - 3*l. Is -2/111 less than v?
True
Let r = -42.7 - -49. Which is smaller: r or 6?
6
Let z = -0.756 + 0.698. Which is smaller: z or 2/15? | {
"pile_set_name": "DM Mathematics"
} |
be b(2). Let i = 391 - t. Let s = i + -399/2. What is the common denominator of s and -83/20?
20
Let f = -794/5 + 807/5. Let l = -151/40 - 57/40. What is the common denominator of f and l?
5
Let z = -369/584 - -1/146. What is the common denominator of 91/6 and z?
24
Calculate the common denominator of 35/3 and (-32)/(-6) + -1 - (-12 + 10).
3
Let b = -9 + 7. What is the common denominator of 34/9 and 26*(-15)/66 - b?
99
What is the common denominator of 34/(-3)*15/(-4) and -107/10?
10
Suppose 5*p - 4*c - 125 = -c, 3*p - 5*c = 91. Calculate the lowest common multiple of p and 2.
22
Let w = 37 + 13. What is the lowest common multiple of 5 and w?
50
Let g(a) be the third derivative of a**4/24 + 5*a**3/3 - a**2. What is the lowest common multiple of 4 and g(0)?
20
Let z = 4582 + -27397/6. Let h = -8 - 34. Find the common denominator of z and 14/(-60)*27/h.
60
Suppose 0 = 5*s - s. What is the common denominator of -85/4 and -8*4 - (-1 - s)?
4
Let p = 2 + 0. Let n = -10 - -46. Suppose n + 9 = 5*q. What is the smallest common multiple of q and p?
18
Suppose 5*h - 15 = h - 5*n, -2*h + 5 = 5*n. Let g(a) = -a**2 + 8*a - 5. Calculate the least common multiple of 8 and g(h).
40
Let n = 3789 - 68099/18. Let o = 4216 - 84263/20. What is the common denominator of n and o?
180
Let o = -1518 + 12163/8. Let x(h) = -12*h**2 - 3*h - 2. Let v be x(-3). Find the common denominator of (-3)/2*v/(-30) and o.
40
Let k = 44 - 24. Suppose 2*y = 0, -5*y = 5*u - u + 12. Let v = u + 13. What is the smallest common multiple of v and k?
20
Let q = -206/45 + 34/9. Let a = -2095 - -29243/14. Calculate the common denominator of q and a.
70
Let r(h) = 7*h - 9. Let d be r(6). What is the common denominator of (d/(-32))/((-1)/(-4)) and 43/10?
40
Let j = 5/12 + 5. What is the common denominator of j and -15/14?
84
Suppose -1 - 5 = -3*c. Calculate the common denominator of (c/(-20))/((-2)/(-57)) and -63/20.
20
Let m(u) = -2*u**2 - 14*u - 10. What is the lowest common multiple of m(-5) and 6?
30
Let t = -411 - -412. Suppose 0 = -f - 3*i + 8, 0*f - 4*i = 5*f - 40. Calculate the lowest common multiple of f and t.
8
Suppose 0 = 5*h + r + 428, h = 3*r - 7*r - 78. Find the common denominator of -49/10 and h/(-20)*-3 + 3.
10
Let v = -2413/72 - -215/9. Let n = -7645/14 + 545. Find the common denominator of v and n.
56
Let b = -144/23 + 2669/92. Find the common denominator of b and -56/9.
36
Calculate the common denominator of 2*-2 + 15/(-58)*-13 and 53/20.
580
Let h = 4088/3 + -1376. Let b be 2/6 - (-1167)/9. Find the common denominator of (5/20)/((-1)/b) and h.
6
Suppose 2*p - 3*p - 1548 = -5*v, -5*p - 3*v = 7628. Let c be 1/(p/(-10871)) + -1. Let d = 2/191 + c. Calculate the common denominator of -55/18 and d.
72
Let w = -10 + 7. Let k(x) = 12*x - 3. Let v(q) = 6*q - 1. Let d(b) = -3*k(b) + 5*v(b). Calculate the smallest common multiple of 22 and d(w).
22
Let n = 23/119 + -4153/1785. Calculate the common denominator of 14/27 and n.
135
Let a = 227/9 + -1285/72. What is the common denominator of -67/8 and a?
8
Suppose -4*f + 38 = 2*w - 0*w, 3*w = 4*f + 17. Calculate the least common multiple of w and 32.
352
Let l = -12 - -32. What is the least common multiple of l and 10?
20
Suppose 0 = 5*h - 16182 - 3768. Let x = h + -39981/10. Let t = 1001/34 + -84/17. What is the common denominator of x and t?
10
Let r(h) = h**2 + 3*h + 5. Let j be r(-4). Suppose 0 = -5*t + 44 - j. Calculate the least common multiple of t and 11.
77
Let r(j) = -j + 5. Let l be r(4). Let y = l - 9. Let m = y + 13. Calculate the lowest common multiple of m and 9.
45
Let d = 4910 + -1469. Let m = -31000/9 + d. Calculate the common denominator of -62/3 and m.
9
Suppose 16 + 26 = 6*i. Calculate the least common multiple of i and 8.
56
Let v = 34 + -24. What is the lowest common multiple of 9 and v?
90
Suppose -s = -4*y - 1, -s + 3 = 2*s - 4*y. What is the least common multiple of s/((-15)/8 + 2) and 14?
56
Suppose 8 = -0*l - l + 5*u, l = -3*u. Find the common denominator of 36/5 and 74/4 + -2 - l.
10
Let q = 17 + -22. Find the common denominator of ((-245)/20)/(q/(-2)) and 43/2.
10
Let k be 9860/(-30)*(-1 + -2). What is the common denominator of 94/60 - 4/10 and k/51*3/8?
12
Let k = 0 - -4. Suppose k = v - 14. Calculate the lowest common multiple of v and 14.
126
Suppose -4*m - 3*o + 21 = 1, -o = -4*m + 36. Let z be 48/(-10)*(-30)/(-4). Let a = -16 - z. Calculate the least common multiple of a and m.
40
Suppose 5*q + 15 = 0, -j = -6*j - 5*q + 5. Calculate the smallest common multiple of j and 8.
8
Let r(v) = -49*v**3 + v + 1. Let w be r(-1). Let x = 69 - w. Calculate the smallest common multiple of x and 8.
40
Suppose -w - 9 = 5*q, 0 = 4*w - 5*q + 4*q - 6. Let j = -18 - -24. What is the least common multiple of w and j?
6
Let n = -84425/14 - -18149/2. Let t = -2662 - -5698. Let l = n - t. What is the common denominator of 121/10 and l?
70
Let w be (-3)/((-3)/2) + -5. Let c = w - -9. What is the lowest common multiple of 2 and c?
6
Find the common denominator of 175/35*(-10)/(-64) and 43/12.
96
Let k = 50845/6021 + -1/6021. Calculate the common denominator of (2/3)/((-4)/(-9)) and k.
18
Find the common denominator of 59/4 and 146/(-12) + (-4 - 0).
12
Let h(d) = d - 10. Let x be h(7). Let f = x + 4. Find the common denominator of f + (2 - 297/42) and -11/2.
14
Let z(c) = 2 - 2 + 4 + 5*c**2 - c**3. Let s be 54/10 - (3 - 65/25). What is the smallest common multiple of 2 and z(s)?
4
Let b = 19 + -43. Calculate the common denominator of (-2)/b*(-9)/(-1) and (-858)/16*6/(-27).
12
Let s be (-49)/6 + (-1)/(-6). Find the common denominator of s/(-44) - (-1302)/220 and 137/12.
60
Suppose 4*k - 15*k = -77. Calculate the least common multiple of k and 5.
35
Let s(j) = -j**2 - 9*j - 10. Calculate the smallest common multiple of s(-5) and 10.
10
Suppose 0 = -7*s + 256 + 24. Find the common denominator of 37/3 and s.
3
Let c = 98 + -54. Find the common denominator of 0/1 - (-200)/c and 22/7.
77
Suppose -11 - 40 = -4*b + 3*o, -2*o + 10 = b. What is the lowest common multiple of b and 6?
12
Suppose 3*w - 9 = -0. Let n(r) = r**2 - r - 1. Let d be n(2). Suppose d + w = u. Calculate the lowest common multiple of 11 and u.
44
Let i be (-2)/(-1) - 4756/28. Let q = i + 18653/112. Let f = 4372 + -35037/8. Calculate the common denominator of f and q.
16
Let m = 30 + -23. What is the smallest common multiple of m and 23?
161
Let c = 4782 - 57277/12. Let d be -1 + (294/89)/3. Let k = -2527/534 - d. What is the common denominator of c and k?
12
Calculate the common denominator of 133/12 and (-3)/(-6) - 145/(-300).
60
Let g = -32086/9 - -3573. What is the common denominator of g and -9/5?
45
Let y(r) = -r**2 + 7*r + 10. Let u be (-22)/(-6) + (-1)/(-3). Suppose -u*x - 16 = -g, 29 = g + 4*g - 3*x. What is the smallest common multiple of g and y(7)?
20
Suppose 2*k + 6 = 2*z, 3*z - 6 - 3 = 2*k. Suppose 0 = -h - z*h + 88. What is the lowest common multiple of 4 and h?
44
Let t = -169 - -813/5. Let j = -6/4399 + 426763/43990. Calculate the common denominator of t and j.
10
Suppose 0 = -3*n - 9, 0 = 2*i + n - 7 + 16. Let u be (2358/1001)/(-1) + i. Let c = -10/143 - u. Find the common denominator of c and 5/6.
42
Let z = -13 + 21. Suppose -z*p + 7*p + 12 = 0. Suppose 12 = 5*v - 8. Calculate the smallest common multiple of v and p.
12
Suppose -2*s + 1 = -2*t - 11, 3*t - 4*s + 16 = 0. Find the common denominator of (-2)/(-12) + 66/t and 93/20.
60
Let u = 89 - 4903/55. What is the common denominator of u and 13/30?
330
Let p = -3/10613 - -838511/297164. Find the common denominator of p and 31/16.
112
Let l(y) = y**2 - 4*y + 1. Let s be l(5). Let k(n) = -n + 3. Let m be k(s). Calculate the smallest common multiple of 22 and 1/m + 13/3.
44
Let j(f) = -5*f + 3. What is the lowest common multiple of j(-1) and 22?
88
Let c(a) = a - 5. Calculate the least common multiple of (-340)/(-35) - (-6)/21 and c(6).
10
What is the smallest common multiple of -2*6/(-3) - (-2 - 0) and 18?
18
Calculate the lowest common multiple of (-2)/(-5) + 136/10 and ((-32)/12)/1*(-9)/6.
28
Suppose 3*r = -3*k - 12, k - 4*r = -2*r - 1. Find the common denominator of 14/10 + (-4 - k) and -7/10.
10
Calculate the least common multiple of (-1215)/(-36) + 6/(-8) and 27.
297
Let z = -4 - -6. Suppose | {
"pile_set_name": "DM Mathematics"
} |
er of 1/6, to the nearest integer?
2
What is the cube root of 6666 to the nearest integer?
19
What is 13342 to the power of 1/2, to the nearest integer?
116
What is the fifth root of 249 to the nearest integer?
3
What is the eighth root of 10489 to the nearest integer?
3
What is 2415 to the power of 1/9, to the nearest integer?
2
What is the square root of 2831 to the nearest integer?
53
What is 8177 to the power of 1/2, to the nearest integer?
90
What is the fifth root of 545 to the nearest integer?
4
What is 35308 to the power of 1/2, to the nearest integer?
188
What is 2299 to the power of 1/3, to the nearest integer?
13
What is 1669 to the power of 1/2, to the nearest integer?
41
What is 10049 to the power of 1/6, to the nearest integer?
5
What is the square root of 1499 to the nearest integer?
39
What is the square root of 88411 to the nearest integer?
297
What is the third root of 7421 to the nearest integer?
20
What is 515 to the power of 1/3, to the nearest integer?
8
What is the third root of 5987 to the nearest integer?
18
What is 39031 to the power of 1/3, to the nearest integer?
34
What is the third root of 133343 to the nearest integer?
51
What is 19924 to the power of 1/2, to the nearest integer?
141
What is the fifth root of 7106 to the nearest integer?
6
What is the fifth root of 1631 to the nearest integer?
4
What is the square root of 35789 to the nearest integer?
189
What is the ninth root of 4346 to the nearest integer?
3
What is the cube root of 26629 to the nearest integer?
30
What is 10214 to the power of 1/2, to the nearest integer?
101
What is 162 to the power of 1/2, to the nearest integer?
13
What is 6575 to the power of 1/2, to the nearest integer?
81
What is the fifth root of 9509 to the nearest integer?
6
What is the cube root of 38279 to the nearest integer?
34
What is 1713 to the power of 1/8, to the nearest integer?
3
What is the third root of 6336 to the nearest integer?
19
What is 23612 to the power of 1/2, to the nearest integer?
154
What is the square root of 2214 to the nearest integer?
47
What is the third root of 2071 to the nearest integer?
13
What is 188 to the power of 1/3, to the nearest integer?
6
What is the square root of 246 to the nearest integer?
16
What is 70382 to the power of 1/2, to the nearest integer?
265
What is 13535 to the power of 1/3, to the nearest integer?
24
What is the eighth root of 21125 to the nearest integer?
3
What is 47855 to the power of 1/2, to the nearest integer?
219
What is the cube root of 9833 to the nearest integer?
21
What is the square root of 3937 to the nearest integer?
63
What is the third root of 53823 to the nearest integer?
38
What is the seventh root of 1178 to the nearest integer?
3
What is the cube root of 13552 to the nearest integer?
24
What is 94 to the power of 1/8, to the nearest integer?
2
What is the sixth root of 5472 to the nearest integer?
4
What is 18929 to the power of 1/2, to the nearest integer?
138
What is the seventh root of 679 to the nearest integer?
3
What is the seventh root of 9124 to the nearest integer?
4
What is the tenth root of 454 to the nearest integer?
2
What is the square root of 6497 to the nearest integer?
81
What is the third root of 104479 to the nearest integer?
47
What is the sixth root of 1386 to the nearest integer?
3
What is 380 to the power of 1/2, to the nearest integer?
19
What is 9945 to the power of 1/2, to the nearest integer?
100
What is the square root of 581 to the nearest integer?
24
What is 81201 to the power of 1/3, to the nearest integer?
43
What is the tenth root of 7930 to the nearest integer?
2
What is 26927 to the power of 1/2, to the nearest integer?
164
What is the square root of 2327 to the nearest integer?
48
What is the seventh root of 4898 to the nearest integer?
3
What is the tenth root of 277 to the nearest integer?
2
What is the cube root of 161408 to the nearest integer?
54
What is the fifth root of 98133 to the nearest integer?
10
What is the third root of 76772 to the nearest integer?
43
What is the tenth root of 6914 to the nearest integer?
2
What is the third root of 4982 to the nearest integer?
17
What is 14955 to the power of 1/3, to the nearest integer?
25
What is 11469 to the power of 1/8, to the nearest integer?
3
What is the seventh root of 4877 to the nearest integer?
3
What is 5071 to the power of 1/3, to the nearest integer?
17
What is 5361 to the power of 1/4, to the nearest integer?
9
What is the third root of 6187 to the nearest integer?
18
What is the sixth root of 2784 to the nearest integer?
4
What is 41263 to the power of 1/7, to the nearest integer?
5
What is the tenth root of 59608 to the nearest integer?
3
What is the cube root of 6067 to the nearest integer?
18
What is 1253 to the power of 1/3, to the nearest integer?
11
What is the square root of 1470 to the nearest integer?
38
What is 4674 to the power of 1/9, to the nearest integer?
3
What is the ninth root of 11081 to the nearest integer?
3
What is the tenth root of 371 to the nearest integer?
2
What is the cube root of 15619 to the nearest integer?
25
What is the cube root of 1594 to the nearest integer?
12
What is 19134 to the power of 1/2, to the nearest integer?
138
What is 27850 to the power of 1/3, to the nearest integer?
30
What is 1564 to the power of 1/3, to the nearest integer?
12
What is the cube root of 37201 to the nearest integer?
33
What is the square root of 37 to the nearest integer?
6
What is the third root of 24861 to the nearest integer?
29
What is the cube root of 149774 to the nearest integer?
53
What is the square root of 10093 to the nearest integer?
100
What is 2533 to the power of 1/2, to the nearest integer?
50
What is 24947 to the power of 1/3, to the nearest integer?
29
What is 29263 to the power of 1/10, to the nearest integer?
3
What is the tenth root of 136101 to the nearest integer?
3
What is 8705 to the power of 1/8, to the nearest integer?
3
What is 3816 to the power of 1/2, to the nearest integer?
62
What is 10499 to the power of 1/6, to the nearest integer?
5
What is the sixth root of 9765 to the nearest integer?
5
What is 61366 to the power of 1/2, to the nearest integer?
248
What is the third root of 1324 to the nearest integer?
11
What is 9112 to the power of 1/5, to the nearest integer?
6
What is 217 to the power of 1/2, to the nearest integer?
15
What is the fourth root of 1721 to the nearest integer?
6
What is the square root of 9821 to the nearest integer?
99
What is the tenth root of 1529 to the nearest integer?
2
What is the cube root of 1195 to the nearest integer?
11
What is the cube root of 79279 to the nearest integer?
43
What is the square root of 3545 to the nearest integer?
60
What is 7924 to the power of 1/2, to the nearest integer?
89
What is the eighth root of 1348 to the nearest integer?
2
What is the square root of 263 to the nearest integer?
16
What is 2023 to the power of 1/7, to the nearest integer?
3
What is 36425 to the power of 1/2, to the nearest integer?
191
What is 1843 to the power of 1/9, to the nearest integer?
2
What is the square root of 623 to the nearest integer?
25
What is the seventh root of 1068 to the nearest integer?
3
What is 1026 to the power of 1/2, to the nearest integer?
32
What is the cube root of 13084 to the nearest integer?
24
What is 206 to the power of 1/3, to the nearest integer?
6
What is the cube root of 1777 to the nearest integer?
12
What is 42439 to the power of 1/2, to the nearest integer?
206
What is the tenth root of 693 to the nearest integer?
2
What is 120554 to the power of 1/2, to the nearest integer?
347
What is 78 to the power of 1/3, to the nearest integer?
4
What is the square root of 5715 to the nearest integer?
76
What is the eighth root of 16291 to the nearest integer?
3
What is the third root of 61453 to the nearest integer?
39
What is the square root of 2658 to the nearest integer?
52
What is the square root of 388 to the nearest integer?
20
What is 66 to the power of 1/8, to the nearest integer?
2
What is the third root of 163 to the nearest integer?
5
What is the eighth root of 3465 to the nearest integer?
3
What is the cube root of 636 to the nearest integer?
9
What is the cube root of 2485 to t | {
"pile_set_name": "DM Mathematics"
} |
+ 1 + 0)*(-3 - 3 + 7).
72*y
Expand (-2 - 4 + 4)*(-6*r - 3*r + 6*r)*(3 + 2 - 3).
12*r
Expand (-2*j**3 + 0*j**3 + j**2 + 0*j**2 + (4 + 1 - 4)*(0*j**3 - 4*j**3 + 2*j**3))*(2*j**2 - 2*j**2 - 2*j**2).
8*j**5 - 2*j**4
Expand (5*w**2 + 0*w**2 - 3*w**2)*(-60*w + 60*w - 12*w**3 + (-1 + 1 - w**3)*(1 - 4 + 1)).
-20*w**5
Expand 12*g**4 + 5*g**4 - 4*g**4 + (0 - g + 0)*(3*g - 2*g**3 - 3*g) + (2*g**2 - g**3 - 2*g**2)*(2 + g - 2) + g**4 - 5*g**4 + 2*g**4.
12*g**4
Expand (-4*c**2 + 2*c**2 + 4*c**2)*(-120*c**2 + 64*c**2 + 49*c**2).
-14*c**4
Expand (0 + 1 + 4)*(3*h - 5*h + 3*h)*(0 + 0 - 2).
-10*h
Expand (4*a - a - 5*a)*(3 - 2 + 2) + (0*a - a + 2*a)*(4 - 3 + 1) + 0*a + 0*a + a + 0 - a + 0.
-4*a
Expand (y**4 + 3*y**4 - y**4)*(-4 - 2 + 4)*(-5*y - 7*y + 4*y).
48*y**5
Expand (c**2 - 4*c**2 - c - 2*c)*(c**2 + 0*c + 0*c).
-3*c**4 - 3*c**3
Expand -4*v + 7*v - v + (-v + 2*v + 3*v)*(5 - 1 - 2)*(0 - 3 + 2).
-6*v
Expand (2 + 1 + 0)*(3*n + 4*n - 5*n).
6*n
Expand (8 + 0 + 5)*((4 - 5 - 1)*(0*s**2 + 4*s**2 - 2*s**2) + 2 - s**2 - 2).
-65*s**2
Expand (-x**2 + 4*x**2 - 4*x**2)*(-x**2 - 4*x**2 + 3*x**2) + (2*x**2 - 2*x**2 + x**2)*(-4*x**2 + 2*x**2 + 4*x**2).
4*x**4
Expand (7 - 3*w**2 + 4*w**2 + 2)*(-4 - 3 + 4).
-3*w**2 - 27
Expand (f - 192 + 2*f + 190)*(3*f**3 - 5*f**3 + f**3).
-3*f**4 + 2*f**3
Expand (2 + 2 - 2)*(2 - 3*f - 1 + f).
-4*f + 2
Expand (9*h**4 - 4*h**4 - 7*h**4 + (-4 + 3 + 3)*(-h**4 - 4 + 4))*(-4*h + h + 2*h).
4*h**5
Expand (v + 4*v - 6*v)*(-v + 2*v - 2*v)*(2*v**3 + v**3 - 7*v**3).
-4*v**5
Expand (-2 + 2 - 5*n)*(1 + 2 + 0)*(3 - 2*n - 3).
30*n**2
Expand -4*x**3 + x**3 - 2*x**3 + (-2*x**2 - 1 + 1)*(-2 + 2*x + 2).
-9*x**3
Expand (-6*q + 6*q - 3*q)*(0 + 0 + q**2).
-3*q**3
Expand 0*r**5 + r**5 - 3*r**5 + 0*r**2 + 0*r**2 - r**5 + r - r + 2*r**5 - r**5 + 0*r**5 + 0*r**5 + (-2*r**3 + r**3 - r**3)*(-3*r**2 + 3*r**2 + r**2).
-4*r**5
Expand (-16 - 6*x**2 - 7*x**2 + 16)*(4 + 7 + 3).
-182*x**2
Expand -4 + 4 - 10*n**4 + (-4 + 4 - 2*n**3)*(-3*n + 5*n - n) - 6 - 6*n**4 + 6 - 2*n**4 + 3*n**4 - 2*n**4.
-19*n**4
Expand (0 - 2 + 1)*(-2 + 2 + o**4) - o**4 + o**2 - o**2 + 0*o**4 + 5*o**4 - 2*o**4 + (-o**2 + 2*o**2 + o**2)*(4*o**2 - o**2 - 5*o**2) + o**4 - 4*o**4 + 0*o**4.
-6*o**4
Expand (102 - 102 + 20*f**2)*(4*f**2 - f**2 - 4*f**2 + (0*f - f + 0*f)*(-f + 3*f - 4*f)).
20*f**4
Expand (-2*r**2 + 3*r**2 + 2*r**2)*(2*r**3 - 2*r**3 - r**3 + (0*r**2 + 5*r**2 - 6*r**2)*(-2*r + 2*r + r) - r**2 + r**2 - 2*r**3).
-12*r**5
Expand (5 - 2 - 1)*(z**5 - 3*z**5 + z**5) + 2*z**5 - 4*z**5 + z**5 + 4*z**2 - 2*z**5 + 2*z**3 + 4*z**5 - 2*z**2.
-z**5 + 2*z**3 + 2*z**2
Expand -159 - 19*s**5 + 159 + (-s - 2*s**2 + s)*(s - s + 2*s**3) + 0*s**4 + 0*s**4 - 2*s**5.
-25*s**5
Expand (2 - m**3 - 2)*(267 - 267 - 20*m) - 2*m**4 - 3*m**3 + 3*m**3.
18*m**4
Expand -36*q**4 - 9*q**4 + 11*q**4 + 2*q**4 - q**4 + 0*q**4 + (q**3 - 5*q**3 + 2*q**3)*(3*q - 4*q - q).
-29*q**4
Expand (4 - 3 + 0)*(-1 + 2 - 3)*(0*x + 0*x + 2*x**3).
-4*x**3
Expand (n**3 - 3*n**3 + 0*n**3)*(-2*n + 1 - 1 + (n + 3 - 3)*(-4 - 3 + 4)).
10*n**4
Expand (5*f - 3*f - f)*(-43 + 5 + 6)*(-3 + 2 - 1).
64*f
Expand (1 - 17 - 16)*(-2*s**3 + 5*s**3 - 4*s**3 + (-2*s**3 + 2*s - 2*s)*(-3 + 0 + 4)).
96*s**3
Expand -2*w**4 + 5*w**4 - 2*w**4 + (w**3 + 0*w**2 + 0*w**2)*(5 - 5 + 2*w) + (-3*w**2 + 3*w**2 - 2*w**2)*(1 - 1 + 2*w**2).
-w**4
Expand (2 - 2 - v**2)*(-4*v**3 + 6*v**3 - 4*v**3) + (0 - 2*v**3 + 0)*(-2*v**2 - v**2 + 2*v**2) + 21*v**2 - 21*v**2 - 6*v**5.
-2*v**5
Expand (5*u - 3*u - u)*(-2*u**4 + 2*u**4 + u**4) - 20*u**4 + 12*u**5 + 15*u**4 + 8*u**4.
13*u**5 + 3*u**4
Expand -2*s**4 - s**3 + s**3 + (-4*s**3 + 0*s**3 + 2*s**3)*(0*s + 0*s - s) + 3*s - 3*s**4 - 3*s - 3*s**4 - 4*s**3 - 4*s**3 + 6*s**3.
-6*s**4 - 2*s**3
Expand (2 + 1 - 1)*(1 + k + 4 - 3).
2*k + 4
Expand 0*a**5 - a**5 + 0*a**5 + (-3*a**2 + 5*a**2 + a**2)*(-3*a**3 - a**3 + 6*a**3) + a + 3*a**5 - a.
8*a**5
Expand -4*c**2 + 4*c**2 - 2*c**3 + (0*c + c + c)*(c + 9*c**2 - c) - c**3 + c**2 - c**2.
15*c**3
Expand (0 + 0 - 2*x + (-3*x - 2*x + 4*x)*(-2 - 1 + 1) - 5*x + 3*x + 3*x + 0*x - 2*x - x)*(-3*x + 2*x + 2*x).
-2*x**2
Expand (-6*y + 2*y + 3*y)*(4 - 1 + 0)*(-3*y + 0*y + y).
6*y**2
Expand (5*x - 4*x + x)*(-3*x**2 + 5*x**2 - 7*x**4 + 0*x**4).
-14*x**5 + 4*x**3
Expand (o**3 - 3*o**3 + o**3)*(2 + 5 - 6) - 2*o**3 + 6*o**3 - 2*o**3 + 2*o**3 - o**3 - 4*o**3.
-2*o**3
Expand (2*y + 2*y - 3*y)*(6*y**4 - y**4 + y**4) + 0*y**4 - 3*y**4 + y**5 - 3*y**5.
4*y**5 - 3*y**4
Expand (-1 + 1 - 5)*(-x + 4*x - 4*x)*(2*x**3 - 4*x**3 - x**3).
-15*x**4
Expand (5*i**3 - 2*i**3 - 2*i**3 + (-2*i**3 + i**3 + 0*i**3)*(-1 + 4 - 1))*(-2*i - 1 + 1 + (2 - 6 + 2)*(-3*i + 2*i + 3*i)).
6*i**4
Expand (-2*v**2 - 1 + 1)*(v**3 + v**3 + 0*v**3) + (-v**5 + 3*v**3 - 3*v**3)*(-1 + 2 - 2) - 2*v**5 + 3*v**5 + 3*v**5.
v**5
Expand (4*j**3 - 3*j**3 - 3*j**3)*(-j**2 + 89*j - 89*j) + 3 + j**5 - 3.
3*j**5
Expand 2*c**3 + 0*c**3 - 4*c**3 + (0*c**2 - 4*c**2 + 5*c**2)*(4 - 4 + 2*c) - 10*c + 10*c + 1 + 3*c**3.
3*c**3 + 1
Expand 21*b**5 - 1 - 115*b + 115*b - 2*b**5 - 2*b**5 + 3*b**5 + (-4 + 0 + 2)*(-b**5 - 4*b**2 + 4*b**2) + b**4 - b**4 + b**5.
23*b**5 - 1
Expand 0 + 0 + n**3 + 6 + (1 - 1 - n)*(0 + 0 + 2*n**2) + n**3 + 0*n**3 - 3*n**3.
-3*n**3 + 6
Expand (3*l**3 + l**3 - 3*l**3 + (0*l - 4*l + 2*l)*(-2*l**2 + 5*l**2 - 2*l**2) - 1 + 2*l**3 + 1)*(-32*l**2 + 8 - 8).
-32*l**5
Expand (-3 - 3 + 4)*(-n - 4*n + 4*n)*(-4 - 6 + 2)*(4*n - n + 0*n).
-48*n**2
Expand (3 - d**3 - 3)*(-4*d**2 - 3*d + 3*d) - d**5 - d**5 + 0*d**5.
2*d**5
Expand -1 - 2*i**2 + 1 + (2*i + 5*i + i)*(1 - 1 - 2*i).
-18*i**2
Expand 3*x**2 + 2*x**2 - 3*x**2 + (2 - 2*x - 2)*(2*x + x + 0*x) + (1 - 1 - x)*(-5*x + 2*x + 4*x).
-5*x**2
Expand (2*h - 3*h**4 - 2*h)*(2*h - 4*h + 0*h) + 2*h**2 - 2*h**2 - h**5 - 2*h**5 - 4*h**5 + 5*h**5 + (3*h - h - 3*h)*(-4*h**4 + h**4 + 4*h**4).
3*h**5
Expand (6*t**3 - 4*t**3 - t**3 - 3*t**3 + 3*t**3 - t**3 + (-3*t**2 - 2 + 2)*(-t + 3*t + 0*t))*(t + 0*t + 5*t) - t**4 + t**4 + t**4.
-35*t**4
Expand (0*k**2 + 7*k**2 - k**2)*(5*k - 6*k + 2*k)*(5 - 3 - 3).
-6*k**3
Expand (2 - 2 + 3)*(2*q**2 - 3*q**2 - q**5 + 3*q**2) - 3*q**5 + q**5 + q**5.
-4*q**5 + 6*q**2
Expand (-15*o**3 + o**5 + 4*o**5 + 14*o**3)*(-2 + 1 + 11).
50*o**5 - 10*o**3
Expand (52 - 44 - 31)*(-l - 4*l + l) + (3 + 2*l - 3)*(-3 + 2 + 2).
94*l
Expand (-12*d + 7*d - 14*d)*(2 + 1 - 1)*(1 + 0 + 1).
-76*d
Expand (3 - 2 + 1)*(-10*s**2 + 6*s**2 - 7*s**2)*(2*s + 4*s - 4*s).
-44*s**3
Expand ((-m - m + m)*(1 - 3 + 3) - 6 + 4 + 0*m - m)*(2 - 9 + 1).
12*m + 12
Expand (0 - 4 - 4)*(4*q - 2*q + 1 + 0)*(-4*q + 4*q + q**3).
-16*q**4 - 8*q**3
Expand (-2 + 5 - 1)*(3*j - 4*j + 2*j) - j - 4*j + 6*j + (-1 + 1 + 2*j)*(3 + 0 - 2).
5*j
Expand (3*n**5 - 2*n**5 + 0*n**5)*(-1 + 3 + 0) - 3*n**5 - 8*n + 8*n.
-n**5
Expand (10*s**2 + 5*s**2 + s**2)*(2*s**2 + 2*s**2 - 2*s**2).
32*s**4
Expand (-4*m**2 + 4*m**2 + 2*m**3)*(-4 + 1 + 2 + (-3 - 5 + 6)*(-1 - 1 + 3)).
-6*m**3
Expand (-5*a + 0*a - 15*a)*(3*a**2 - 2*a**2 + a**2).
-40*a**3
Expand (-1 + 1 + 2)*(7*f - 4*f**2 - 7*f) + 0*f**2 - 4*f**2 - 3 + 2*f**2.
-10*f**2 - 3
Expand (14*v - 11*v + 33*v**2 - 6*v**2)*(0*v - 2*v + v).
-27*v**3 - 3*v**2
Expand (-4 - 4 + 0)*(3*j - 2*j - 2*j**4 - j**4).
24*j**4 - 8*j
Expand (-3*z**2 - 2 + 2 + (0 + 4 - 2)*(-2*z**2 + 4*z**2 - 3*z**2) + 0*z**2 + 4*z**2 - 3*z**2)*(-3*z**2 - 3*z**2 + 3*z**2).
12*z**4
Expand (2 + 2 - 6)*(-4*p - 3*p + 5*p)*(-p**4 + 0*p**4 + 2*p**4) - 5*p**5 + 5*p**4 - 5*p**4.
-p**5
Expand -51*g - 68*g + 5*g**2 + 99*g + (-g + 0*g - g)*(-g + 0*g - g).
9*g**2 - 20*g
Expand (2*n + n + 0*n)*(-n + 4*n - 2*n) - 1 + 1 + n**2 + (-3 + 3 + n)*(1 - 1 - 2*n).
2*n**2
Expand -203 - 89 + r**3 + 81 + (r**3 - r**3 - 2*r**3)*(-3 + 0 + 5).
-3*r**3 - 211
Expand (-7 + 7 - 3*a - 1)*(1 + 0 + 5).
-18*a - 6
Expand (0*w - 3*w + 2*w)*(2 + 3 - 6) + w + 2 + 0*w + 3*w.
5*w + 2
Expand (-6 + 2 + 3)*(-3*v + v + 4*v) + 5*v + v - 18*v.
-14*v
Expand (-2*g**5 - 2*g + 2*g)*(0 + 3 - 1) + 0*g**5 - g**5 - g**5 - 2*g**5 - g**5 - g**5.
-10*g**5
Expand u**5 - u**5 - 2*u**5 + (40*u - 6*u**4 - 40*u)*(-3*u + 3*u - 3*u).
16*u**5
Expand (-19*c + 9*c - 2 + 8*c)*(c + 2*c - 2*c).
-2*c**2 - 2*c
Expand (0*k**3 - 3*k**3 + k**3)*(3 + 5*k - 3)*(0 - 1 - 1).
20*k**4
Expand (n - 3*n + 10*n)*(-n + n + n**3)*(1 + 0 + 2).
24*n**4
Expand -o**5 + o**5 + o**5 - o**5 + 2*o**5 + o**5 + 0*o**5 + o**5 - 2*o**5 + (0*o + 2*o**4 + 0*o)*(o + 5*o - 4*o | {
"pile_set_name": "DM Mathematics"
} |
en 4:08 PM and 6:30 PM?
142
What is 237 minutes after 5:53 PM?
9:50 PM
What is 473 minutes after 5:54 AM?
1:47 PM
What is 463 minutes after 5:51 AM?
1:34 PM
What is 48 minutes after 6:25 AM?
7:13 AM
What is 292 minutes before 1:50 AM?
8:58 PM
How many minutes are there between 8:47 AM and 11:11 AM?
144
What is 444 minutes after 7:00 AM?
2:24 PM
How many minutes are there between 7:35 PM and 5:26 AM?
591
What is 708 minutes after 8:50 AM?
8:38 PM
How many minutes are there between 3:05 AM and 1:10 PM?
605
How many minutes are there between 5:01 AM and 1:53 PM?
532
What is 359 minutes after 2:32 AM?
8:31 AM
How many minutes are there between 11:52 AM and 2:25 PM?
153
How many minutes are there between 7:22 PM and 12:14 AM?
292
What is 209 minutes before 8:39 AM?
5:10 AM
How many minutes are there between 2:14 PM and 3:46 PM?
92
What is 599 minutes after 12:29 PM?
10:28 PM
What is 354 minutes before 12:22 PM?
6:28 AM
What is 137 minutes after 3:58 AM?
6:15 AM
How many minutes are there between 5:02 AM and 11:48 AM?
406
What is 457 minutes after 3:19 PM?
10:56 PM
How many minutes are there between 12:46 PM and 3:57 PM?
191
How many minutes are there between 12:15 PM and 10:27 PM?
612
What is 472 minutes before 8:49 PM?
12:57 PM
What is 153 minutes after 9:29 PM?
12:02 AM
What is 367 minutes before 11:58 PM?
5:51 PM
How many minutes are there between 11:42 AM and 5:05 PM?
323
How many minutes are there between 5:10 AM and 7:46 AM?
156
What is 482 minutes before 3:46 PM?
7:44 AM
What is 165 minutes after 6:38 PM?
9:23 PM
What is 376 minutes after 12:09 PM?
6:25 PM
How many minutes are there between 5:50 PM and 7:41 PM?
111
How many minutes are there between 7:16 PM and 1:28 AM?
372
What is 250 minutes before 3:50 AM?
11:40 PM
What is 703 minutes before 9:54 PM?
10:11 AM
What is 130 minutes before 5:06 AM?
2:56 AM
How many minutes are there between 11:19 AM and 10:38 PM?
679
What is 374 minutes after 8:49 PM?
3:03 AM
How many minutes are there between 3:50 AM and 8:20 AM?
270
What is 664 minutes before 9:16 PM?
10:12 AM
How many minutes are there between 1:30 AM and 2:46 AM?
76
What is 631 minutes after 3:34 PM?
2:05 AM
What is 488 minutes after 9:54 PM?
6:02 AM
How many minutes are there between 9:36 PM and 12:11 AM?
155
How many minutes are there between 10:42 PM and 1:16 AM?
154
How many minutes are there between 7:17 AM and 5:34 PM?
617
How many minutes are there between 7:51 PM and 3:00 AM?
429
How many minutes are there between 9:10 PM and 8:52 AM?
702
What is 599 minutes after 12:34 AM?
10:33 AM
What is 710 minutes after 10:44 PM?
10:34 AM
How many minutes are there between 3:10 PM and 8:08 PM?
298
What is 39 minutes after 2:15 AM?
2:54 AM
What is 404 minutes before 2:15 PM?
7:31 AM
How many minutes are there between 9:03 PM and 3:16 AM?
373
How many minutes are there between 9:36 PM and 8:41 AM?
665
How many minutes are there between 9:33 PM and 5:41 AM?
488
How many minutes are there between 12:03 PM and 10:42 PM?
639
How many minutes are there between 7:38 PM and 7:18 AM?
700
What is 399 minutes after 10:19 AM?
4:58 PM
How many minutes are there between 11:23 AM and 3:18 PM?
235
What is 485 minutes before 5:41 AM?
9:36 PM
How many minutes are there between 12:41 AM and 3:10 AM?
149
What is 11 minutes before 11:09 PM?
10:58 PM
How many minutes are there between 3:44 PM and 12:56 AM?
552
What is 617 minutes after 12:59 AM?
11:16 AM
What is 700 minutes before 1:31 PM?
1:51 AM
What is 202 minutes after 6:39 AM?
10:01 AM
How many minutes are there between 12:01 AM and 11:41 AM?
700
What is 526 minutes after 11:49 AM?
8:35 PM
What is 274 minutes before 6:39 AM?
2:05 AM
What is 585 minutes after 1:47 AM?
11:32 AM
How many minutes are there between 10:25 PM and 9:29 AM?
664
What is 682 minutes after 9:14 AM?
8:36 PM
How many minutes are there between 10:48 AM and 1:26 PM?
158
What is 10 minutes before 5:42 PM?
5:32 PM
How many minutes are there between 3:32 PM and 8:32 PM?
300
How many minutes are there between 3:29 AM and 7:24 AM?
235
How many minutes are there between 4:22 PM and 5:50 PM?
88
How many minutes are there between 10:00 AM and 9:49 PM?
709
How many minutes are there between 8:00 AM and 10:00 AM?
120
How many minutes are there between 3:57 AM and 12:10 PM?
493
What is 530 minutes after 6:48 AM?
3:38 PM
How many minutes are there between 2:12 AM and 3:29 AM?
77
What is 611 minutes after 2:23 PM?
12:34 AM
How many minutes are there between 2:50 AM and 6:05 AM?
195
How many minutes are there between 3:20 AM and 11:20 AM?
480
What is 149 minutes before 7:49 AM?
5:20 AM
How many minutes are there between 10:31 PM and 10:45 PM?
14
How many minutes are there between 7:25 AM and 12:28 PM?
303
How many minutes are there between 3:12 AM and 7:09 AM?
237
How many minutes are there between 12:39 PM and 7:40 PM?
421
How many minutes are there between 10:00 PM and 9:59 AM?
719
What is 505 minutes after 10:13 PM?
6:38 AM
How many minutes are there between 11:14 PM and 4:06 AM?
292
How many minutes are there between 9:39 AM and 1:53 PM?
254
What is 354 minutes after 10:34 PM?
4:28 AM
What is 667 minutes before 8:50 PM?
9:43 AM
How many minutes are there between 1:48 AM and 5:48 AM?
240
What is 126 minutes before 12:37 AM?
10:31 PM
What is 260 minutes after 6:31 PM?
10:51 PM
What is 207 minutes before 4:00 PM?
12:33 PM
How many minutes are there between 8:58 AM and 8:15 PM?
677
How many minutes are there between 6:20 PM and 5:20 AM?
660
How many minutes are there between 5:45 PM and 1:56 AM?
491
How many minutes are there between 7:36 AM and 9:39 AM?
123
How many minutes are there between 9:52 PM and 7:33 AM?
581
What is 286 minutes before 3:36 AM?
10:50 PM
How many minutes are there between 6:11 AM and 5:41 PM?
690
What is 394 minutes before 5:22 AM?
10:48 PM
How many minutes are there between 3:26 AM and 5:07 AM?
101
What is 394 minutes before 12:52 AM?
6:18 PM
How many minutes are there between 9:10 AM and 10:27 AM?
77
How many minutes are there between 5:49 PM and 3:01 AM?
552
What is 556 minutes before 11:55 PM?
2:39 PM
How many minutes are there between 11:54 AM and 10:30 PM?
636
What is 111 minutes before 9:25 AM?
7:34 AM
What is 128 minutes before 11:01 PM?
8:53 PM
How many minutes are there between 10:14 AM and 8:31 PM?
617
How many minutes are there between 1:41 PM and 4:19 PM?
158
What is 520 minutes before 8:41 PM?
12:01 PM
How many minutes are there between 3:00 PM and 7:49 PM?
289
What is 560 minutes after 6:19 AM?
3:39 PM
How many minutes are there between 3:44 PM and 10:40 PM?
416
How many minutes are there between 7:19 PM and 12:17 AM?
298
What is 535 minutes before 8:04 PM?
11:09 AM
How many minutes are there between 11:44 PM and 9:14 AM?
570
How many minutes are there between 4:38 AM and 11:06 AM?
388
What is 203 minutes before 4:17 AM?
12:54 AM
What is 344 minutes after 2:05 PM?
7:49 PM
How many minutes are there between 5:47 PM and 9:16 PM?
209
What is 354 minutes after 9:54 AM?
3:48 PM
How many minutes are there between 4:03 AM and 10:03 AM?
360
How many minutes are there between 10:55 PM and 4:48 AM?
353
How many minutes are there between 6:20 PM and 4:19 AM?
599
How many minutes are there between 1:29 AM and 3:24 AM?
115
How many minutes are there between 2:17 AM and 5:32 AM?
195
How many minutes are there between 12:31 PM and 9:21 PM?
530
How many minutes are there between 10:29 AM and 11:40 AM?
71
How many minutes are there between 10:23 PM and 9:10 AM?
647
How many minutes are there between 10:39 AM and 3:56 PM?
317
How many minutes are there between 2:16 AM and 11:14 AM?
538
How many minutes are there between 3:25 PM and 3:14 AM?
709
What is 570 minutes before 3:31 AM?
6:01 PM
How many minutes are there between 1:27 AM and 11:22 AM?
595
What is 414 minutes before 10:43 PM?
3:49 PM
What is 235 minutes after 3:41 PM?
7:36 PM
What is 488 minutes after 4:49 PM?
12:57 AM
What is 617 minutes before 11:28 PM?
1:11 PM
How many minutes are there between 3:18 AM and 4:48 AM?
90
What is 564 minutes before 1:06 PM?
3:42 AM
What is 493 minutes after 7:13 PM?
3:26 AM
How many minutes are there between 6:53 PM and 11:07 PM?
254
What is 665 minutes after 4:10 AM?
3:15 PM
How many minutes are there between 10:23 AM and 6:13 PM?
470
What | {
"pile_set_name": "DM Mathematics"
} |
sequence ak when two letters picked without replacement from vvhkavvkvval.
1/33
What is prob of sequence uux when three letters picked without replacement from xuxxxxxxxuxuxxx?
12/455
What is prob of sequence ss when two letters picked without replacement from {s: 17, l: 2}?
136/171
Calculate prob of sequence lf when two letters picked without replacement from fwlxxwwffx.
1/30
Two letters picked without replacement from qbqxrndd. What is prob of sequence nb?
1/56
What is prob of sequence ppv when three letters picked without replacement from ppmvvmppm?
1/21
Three letters picked without replacement from {w: 4, i: 8, z: 1}. Give prob of sequence zzi.
0
Two letters picked without replacement from {b: 1, f: 3, t: 2, o: 1, z: 5}. Give prob of sequence zz.
5/33
Calculate prob of sequence qrr when three letters picked without replacement from wkrwkwrkkwkwqwkwkw.
1/2448
Four letters picked without replacement from {s: 2, z: 1, p: 1, g: 1, j: 4}. Give prob of sequence jsgj.
1/126
Calculate prob of sequence ah when two letters picked without replacement from ahx.
1/6
What is prob of sequence kkxx when four letters picked without replacement from kxxkk?
1/10
What is prob of sequence sicc when four letters picked without replacement from {i: 11, s: 1, c: 5}?
11/2856
What is prob of sequence vaa when three letters picked without replacement from {v: 1, a: 3, x: 1}?
1/10
What is prob of sequence ee when two letters picked without replacement from {w: 11, e: 9}?
18/95
Two letters picked without replacement from {s: 1, k: 6, q: 3, r: 3}. Give prob of sequence qq.
1/26
What is prob of sequence jrii when four letters picked without replacement from mrmmjmmrimj?
0
Calculate prob of sequence ppx when three letters picked without replacement from rpppxrpxrprrpp.
1/26
Four letters picked without replacement from qttqqqtwtqwtqwwwntq. Give prob of sequence ntnq.
0
What is prob of sequence uf when two letters picked without replacement from nwrwwrfrrwrwfurrwr?
1/153
Three letters picked without replacement from bbbbwiiibwbwbgippeiw. Give prob of sequence iip.
1/171
Four letters picked without replacement from {n: 10, y: 3, e: 3, t: 1, u: 2}. Give prob of sequence yyye.
1/5168
Four letters picked without replacement from kpbbqkcbpbkqkkkokqck. What is prob of sequence kkpk?
28/4845
What is prob of sequence kt when two letters picked without replacement from kkkkktttkkt?
14/55
Two letters picked without replacement from {j: 2, i: 1, n: 5, u: 1, a: 1}. What is prob of sequence nj?
1/9
What is prob of sequence cnnc when four letters picked without replacement from {c: 4, t: 2, a: 4, r: 1, f: 2, n: 2}?
1/1365
Calculate prob of sequence wq when two letters picked without replacement from {w: 3, q: 5, d: 9, p: 3}.
3/76
What is prob of sequence jzjj when four letters picked without replacement from {z: 2, j: 9}?
7/55
Two letters picked without replacement from {p: 11, m: 1, e: 2}. Give prob of sequence ep.
11/91
Calculate prob of sequence ir when two letters picked without replacement from {r: 2, i: 17}.
17/171
Two letters picked without replacement from ssjjsssssssss. What is prob of sequence jj?
1/78
What is prob of sequence bj when two letters picked without replacement from {t: 4, b: 6, g: 4, h: 4, j: 2}?
3/95
Four letters picked without replacement from slwsfkflfllwsxlxwxfx. What is prob of sequence wssw?
1/3230
Three letters picked without replacement from {l: 8, b: 4, r: 2}. What is prob of sequence bll?
4/39
What is prob of sequence oh when two letters picked without replacement from zhkmhzohzzo?
3/55
Calculate prob of sequence sy when two letters picked without replacement from sefmymsmfssime.
2/91
Four letters picked without replacement from xqwwwwxaw. What is prob of sequence xaxw?
5/1512
Two letters picked without replacement from vfhwd. Give prob of sequence fh.
1/20
Three letters picked without replacement from ajmuu. Give prob of sequence uma.
1/30
Calculate prob of sequence nc when two letters picked without replacement from {b: 5, d: 4, n: 1, c: 5}.
1/42
What is prob of sequence qd when two letters picked without replacement from {q: 1, d: 7}?
1/8
Three letters picked without replacement from {c: 10, f: 4}. What is prob of sequence ccf?
15/91
What is prob of sequence lcv when three letters picked without replacement from {c: 1, l: 4, v: 8}?
8/429
Two letters picked without replacement from xxxxxxx. Give prob of sequence xx.
1
Two letters picked without replacement from uhuhcbuuqhqhhvcu. Give prob of sequence qu.
1/24
Two letters picked without replacement from {q: 1, d: 1, k: 2, v: 3, c: 1, r: 4}. What is prob of sequence cd?
1/132
Calculate prob of sequence wiwi when four letters picked without replacement from {i: 3, w: 4}.
3/35
What is prob of sequence ttdt when four letters picked without replacement from oodotoddotttooodtoo?
5/1938
Two letters picked without replacement from {c: 7, b: 2, k: 1}. Give prob of sequence ck.
7/90
What is prob of sequence brrb when four letters picked without replacement from rbbbrrrbrbrrrr?
60/1001
Four letters picked without replacement from hhnahzzhazhahaa. Give prob of sequence hazn.
1/364
Calculate prob of sequence msm when three letters picked without replacement from {m: 5, s: 12, k: 2}.
40/969
Two letters picked without replacement from {g: 5, n: 2}. Give prob of sequence gg.
10/21
What is prob of sequence xfx when three letters picked without replacement from {c: 1, x: 2, f: 1, z: 1}?
1/30
Calculate prob of sequence ip when two letters picked without replacement from {p: 2, j: 3, i: 4}.
1/9
What is prob of sequence yr when two letters picked without replacement from {y: 1, r: 4, q: 10, k: 2}?
1/68
Calculate prob of sequence bcb when three letters picked without replacement from bbcbbccbbbbcbbbcccb.
154/969
Three letters picked without replacement from {p: 4, s: 3, d: 2, w: 2, n: 1, k: 3}. Give prob of sequence spn.
2/455
Two letters picked without replacement from {z: 5, p: 2, s: 1, h: 3, b: 1}. Give prob of sequence bp.
1/66
Calculate prob of sequence njj when three letters picked without replacement from jnjnnnn.
1/21
Two letters picked without replacement from {c: 2, r: 1, q: 4, f: 1, n: 1}. What is prob of sequence rn?
1/72
Three letters picked without replacement from {d: 2, h: 4}. Give prob of sequence hhd.
1/5
Four letters picked without replacement from wowzwozzwzwowp. What is prob of sequence wzwz?
15/1001
Four letters picked without replacement from tttptpttt. What is prob of sequence ptpt?
1/36
Four letters picked without replacement from aaaa. Give prob of sequence aaaa.
1
Three letters picked without replacement from kkdkkkddkkd. What is prob of sequence kkk?
7/33
Four letters picked without replacement from aplpaalpapplppppl. Give prob of sequence lala.
3/1190
Two letters picked without replacement from {g: 2, u: 3, a: 8, p: 2, b: 4, y: 1}. Give prob of sequence au.
6/95
What is prob of sequence mm when two letters picked without replacement from mmmmmmmammmmmmmmmmm?
17/19
What is prob of sequence bbb when three letters picked without replacement from bbbbb?
1
Three letters picked without replacement from {y: 3, q: 13}. What is prob of sequence qyq?
39/280
Calculate prob of sequence wggg when four letters picked without replacement from gppppgpgpggwpggppgpp.
14/4845
What is prob of sequence cb when two letters picked without replacement from bblllclllcllll?
2/91
Four letters picked without replacement from {w: 3, d: 5}. What is prob of sequence wdwd?
1/14
What is prob of sequence fvmi when four letters picked without replacement from {m: 11, i: 4, v: 2, f: 2}?
11/5814
What is prob of sequence pp when two letters picked without replacement from {p: 2, q: 2}?
1/6
Two letters picked without replacement from yiwaf. What is prob of sequence fa?
1/20
Calculate prob of sequence tt when two letters picked without replacement from tnnpm.
0
What is prob of sequence lx when two letters picked without replacement from vbfflfxf?
1/56
Calculate prob of sequence avvv when four letters picked without replacement from vvavav.
2/15
What is prob of sequence zoo when three letters picked without replacement from {z: 2, f: 3, o: 6, w: 2, b: 2}?
2/91
What is prob of sequence rrx when three letters picked without replaceme | {
"pile_set_name": "DM Mathematics"
} |
4))**(-39) assuming s is positive.
s**(-26637/44)
Simplify ((g**(2/5))**(1/40))**(-3/2)*((g*(g*g**(4/9))/g)/g)/g*g*g**4*g**(-4)/g**(-2) assuming g is positive.
g**(4373/1800)
Simplify z/(z/z**5)*z/(z/(z*z/(z*((z/z**31)/z)/z*z*z)))*z*z*(z**(2/25)*z)/z**(13/6) assuming z is positive.
z**(5537/150)
Simplify ((n*n**(-2/11)*n)/(n*n/n**(-6)))**19/(n**(-2/17)/n**6)**50 assuming n is positive.
n**(35236/187)
Simplify (g/g**(-2/25)*g**17*g*g*g)/(g**15*g**37) assuming g is positive.
g**(-773/25)
Simplify (((w**(-15)/w)/w)/(w**7*w)*(w**(4/3))**(-2/17))**(-1/5) assuming w is positive.
w**(1283/255)
Simplify (l**(-9)/l**32*l**(5/2)*l**(2/9))**(2/91) assuming l is positive.
l**(-53/63)
Simplify ((s*((s*s**1)/s)/s*s)/(((s*s*s**3*s*s)/s)/s))/(s**6*s*s/(s/(s**(2/11)*s)))*s/(s*s**(-1)*s)*s**(-1)/s*s/(s**(-1)/s)*s*s**(3/4)/s assuming s is positive.
s**(-415/44)
Simplify (g**(-3/5)/g**(-7)*(g**(-4)*g*g)/g*g/g**(-1/3))/(g**(-6)*g**(-2/11))**(-8/15) assuming g is positive.
g**(79/55)
Simplify (t**(5/7)*t*t*t/t**(-5)*t*(t**(-6)*t)/t*t/(t/(t*t**(-13)*t*t)))**(-3/2) assuming t is positive.
t**(66/7)
Simplify ((s**(-28)/s**(-41))**21)**(-29) assuming s is positive.
s**(-7917)
Simplify ((c/((c**(-2)/c)/c)*c)**30*(c/(c**(3/2)/c)*c*c)**(-5/4))**28 assuming c is positive.
c**(9905/2)
Simplify ((f/(f*f**(-2/5)))**(9/4)/(f**(-1/4)*f/f**3*f))/((((f*f**(-1/3))/f)/f**(-1/4))/(((f**(1/2)*f)/f)/f**(-2/11))) assuming f is positive.
f**(481/165)
Simplify (b**(-2)/(b/((((b**(-6/7)/b*b)/b)/b)/b)*b))/(b**(-2)/b**(-3))*((b*b/(b**(-2/13)/b)*b)/(b*b/(b/(b*b*(b/(b*b**0/b))/b*b))*b))**49 assuming b is positive.
b**(-4579/91)
Simplify (((q/(q/(q/q**(-2/25))))/(q*(q*q/(q*q*((q*q**(1/9)/q*q)/q)/q*q*q)*q*q*q)/q)*(q*(q**(-5)*q*q)/q*q)/q*q/q**5)**(-6/7))**(-2/101) assuming q is positive.
q**(-1004/7575)
Simplify ((s/s**(-13)*s)**(-7/10)*(s/s**7)**(21/4))**15 assuming s is positive.
s**(-630)
Simplify ((q*q**(-1/6)*q*q/(q*(q/(q*q**1))/q))/(q*q*(q*(q*q**(2/5))/q)/q*q*q)**(-24/7))/(q**0/q*(q*q**2*q)/q*q*q**(2/3)*q**(-1)/q) assuming q is positive.
q**(3623/210)
Simplify ((m**(-3))**(1/72))**(-1/25)*(m**(-6)/m**(1/4))**(-10) assuming m is positive.
m**(37501/600)
Simplify ((u*u*u**(3/4))/u*u**6)/(u**1)**(2/5)*u*u**(-1/6)/u*u*u**7*((u/(u*(u/(u/((u/u**4)/u*u)))/u))/u)/(u/(u*u**(-2/9)*u)) assuming u is positive.
u**(3413/180)
Simplify (s**(-8)*s/(s**(1/5)/s)*s)**(-2)/((s**(2/5))**(-15)*s**6*(s/(s**(2/5)*s)*s)/s) assuming s is positive.
s**(54/5)
Simplify ((l*l/((l*l**(-5/3))/l*l))/l**23*((l*l*l/((l*l*(((l*l/(l/(l**(6/5)/l)))/l)/l)/l)/l))/l)/l**19)**(4/27) assuming l is positive.
l**(-2192/405)
Simplify ((n**1)**(-4/11)*(n**(-2/7))**(39/2))/((n**(-2/7))**36*(n**1)**(-9/5)) assuming n is positive.
n**(2368/385)
Simplify ((((m**(-2/5))**(-14/3))**(-11/3))**(-18))**(-2/121) assuming m is positive.
m**(-112/55)
Simplify ((((g**(1/3)/g*g*g)**(-1/5))**6)**(-1/33))**(-20) assuming g is positive.
g**(-32/33)
Simplify ((g*g**0*g)**(1/41))**(2/13)/((g**3/g**(4/7))/((g/(g**(4/7)/g))/g**(-3))) assuming g is positive.
g**(1070/533)
Simplify ((v/v**2)/v**(4/7))**(2/3)*((v/((v/(v**(-2/9)*v))/v))/v)/((v**(-8)/v*v)/v)*v**(2/5)*(v*v**(1/3))/v assuming v is positive.
v**(2981/315)
Simplify ((a/(a*a**2*a)*a*a)**(-1)*a/(((a/a**(-3))/a)/a)*(a**(-2/19)*a*a)/a)/((a/a**0*a*a)**(-1/19)*(a**2)**(6/17)) assuming a is positive.
a**(112/323)
Simplify ((j*j/j**(3/16))/(j*j/j**(2/15)))**(1/3)*j**(-4/7)/(j/j**(-2))*j/j**(1/7)*j*j**(3/7) assuming j is positive.
j**(-6571/5040)
Simplify ((q*q**(-1/5))**(-31)/(q**(-1/7)*q*q**(-5/2)))/(((q*q**(2/5))/q)**(-5/6))**(-2/27) assuming q is positive.
q**(-131441/5670)
Simplify ((g/g**37)/g**(-46))/(g**(-21)*g)**(-9/4) assuming g is positive.
g**(-35)
Simplify (g*g/g**0)**(-39)/(g*g**0)**(-13)*(g**(-4)*g*g*g)/g*g**(-2/5)*g**(-1/2)*g*g**0 assuming g is positive.
g**(-669/10)
Simplify (a**(-4/13)*a*a**(6/5)*((a*a**(-19))/a)/(a/(a*a**(-21))))**23 assuming a is positive.
a**(-56971/65)
Simplify ((t**(-9)/(t**(-1/2)/t*t))/(t**10/t**(-26)))**(39/4) assuming t is positive.
t**(-3471/8)
Simplify ((x**(3/7)/x)/x*x**3)**(-22/7)*((x/x**(-1/9))/x**1)**(2/55) assuming x is positive.
x**(-108802/24255)
Simplify ((z**0)**7)**(3/5)*(z/(z/(z/(z*z/(z/(((z*z**(-1))/z)/z))))))**(1/30)*(z**(-5)*z)/z**6 assuming z is positive.
z**(-149/15)
Simplify (o/((o*(o*o*o**(-3/7))/o)/o)*o*o/o**(5/3)*o*((o/(o*o/(o/(o/(o**1*o*o))*o)))/o)**17)/(((o*o**(3/8))/o)/o**(1/3))**(2/15) assuming o is positive.
o**(45053/1260)
Simplify ((o**0)**30)**(-1/14)/(((o**(-1)*o)/o)**(3/32)*(o**0*o)**(-38)) assuming o is positive.
o**(1219/32)
Simplify ((p**20/p*(p**(1/19)/p)/p)/(p**(2/25)*p*p**(-3/5)))**(-2/33) assuming p is positive.
p**(-5248/5225)
Simplify ((v**0*v**(-1/3))/((v*v/(v/v**(-2/65))*v)/v*v*v**(1/2)))**(3/7) assuming v is positive.
v**(-1093/910)
Simplify (w**1)**7/(w*(w/((w**2/w)/w))/w*w*w**(-5)/w*w)*((w**(2/5))**(-13/4))**23 assuming w is positive.
w**(-199/10)
Simplify ((g*g**1/g)**(-48)/((g**(-2/21)*g)/g**(-6)))/((g/g**1)**27/(g**(-1/5)/g*g**1)) assuming g is positive.
g**(-5786/105)
Simplify (((((n*n**0)/n)/n)**(-2/149)*(n/((n**(2/5)/n)/n))**(-3/8))**(2/35))**(-18) assuming n is positive.
n**(51579/52150)
Simplify ((((c*c**(-4)*c)/c*c)/c)/c**(-1/3))/(c*c**(-3/5)*(c**(-3)*c*c)/c)*c**(-2/3)*c**(2/9)*(c/(c*(c**(-7)*c)/c*c*c))/c*c/c**7 assuming c is positive.
c**(-158/45)
Simplify (p/(p*((p/(p/p**(-8)))/p)/p))**(-3/28)/(p**2/p)**(5/6) assuming p is positive.
p**(-40/21)
Simplify (q**4/q*q**(-5/3))/((q**(-2/9)/q*q)/q**(-6))*(q**(1/8)*q/q**(-6))/(q**(-7)*q**(1/2)) assuming q is positive.
q**(661/72)
Simplify ((f/(f**(-2)*f)*f*f)**(-1/28))**31*(f/(f/(f*f*f**(-7))*f))/f**1*f**7/(f*f*f/(f/(f*f**2))*f) assuming f is positive.
f**(-73/7)
Simplify (d**8/d**5)/((d/d**(-3))/d**(2/31))*(d**1*(d**3/d)/d)/(d/(d**0/d))**(-2/3) assuming d is positive.
d**(223/93)
Simplify (m**8*m**(-5/3)*m)**(-18/11)/(m**(-1/10)/m*m*m**(2/3)*m*(m**(2/3)*m)/(m*m**(-2)*m)) assuming m is positive.
m**(-457/30)
Simplify (m**(2/3)/m)**(-3/28)*(m**(1/2))**(1/22)*(m**(-1/4))**(-34)*m**9/m**6 assuming m is positive.
m**(890/77)
Simplify ((s**(-3/5)/s**5)/(s*s*s*s**(-3/4)*s*s/s**(-6)))/((s/s**(-1))**14/(s**(2/7)/s**0)) assuming s is positive.
s**(-6099/140)
Simplify ((i/((i/((i**(2/3)/i)/i))/i*i))/i**(-1/5))**37*(i**(-4/9)*i**(-3/4))/(i**1/((i**(-1/2)*i)/i)) assuming i is positive.
i**(-8033/180)
Simplify ((y*y**(1/2)*y)/((y/y**(-2/5))/y)*(y/(((y*y**(-7))/y)/y))/y**(1/5))/(y**(3/5)/(y/(y**(4/7)*y))*(y/y**(-1/2))/y**(-3)) assuming y is positive.
y**(183/35)
Simplify ((l/l**(-35)*l/(l*l**25))/(l**12/(l/l**12)))**(-44) assuming l is positive.
l**528
Simplify ((v*(v**(-1/4)/v*v)/v*v*(v/v**(2/3)*v*v*v)/v)/(v**2*v**(-2)*v))/(v/(v**0/v)*v*v/(v**(1/7)*v))**1 assuming v is positive.
v**(-65/84)
Simplify (d*d*d/(d*(d/d**(-1/22))/d*d*d)*d*d/(d*d**14/d)*(d**(-5))**(-34))**49 assuming d is positive.
d**(170275/22)
Simplify (z**(1/13)/((z*z**(-3/11))/z))**(12/11)*((z**(9/4)*z)/z**12)**(-3/16) assuming z is positive.
z**(203565/100672)
Simplify (((h**(2/7)/h)/h)**(-18/7))**16/((h*h**(1/2))**40/((h*(h/h**(-6))/h)/h**(-2/21))) assuming h is positive.
h**(2591/147)
Simplify m**5*m**(-1/8)/m*m**(-1/3)/((m**(-4/7)*m*m)/m)*(((m**(1/2)*m*m)/m)**(22/3))**(-16) assuming m is positive.
m**(-29045/168)
Simplify ((g**(4/3)*g)/g)/(g/g**(1/3)*g)*g**(-1/2)/((g/(g*g**(3/7)))/g)*g**(-5)/(g**(-3/4)/g)*(g*g/(g*g/(g**(4/5)*g)))/(g/g**1) assuming g is positive.
g**(-359/420)
Simplify ((u/(u**0*u))/u)**(12/7)/(((u**(2/7)*u)/u)/(u**6/u*u*u))*((u/(u**(1/3)/u))/(u*u*u/u**(-4)*u))**(2/37) assuming u is positive.
u**(517/111)
Simplify (((d*d**6*d*d*d**(1/4))**33)**1)**5 assuming d is positive.
d**(6105/4)
Simplify ((y**(-1/3))**(-32))**(2/5)*(y**(2/5))**(-45)*(y/(y*y**0)*y)**31 assuming y is positive.
y**(259/15)
Simplify ((i**(-4))**5/(i*i**(2/21))**(-2))**(-3/29) assuming i is positive.
i**(374/203)
Simplify (y**(-7)/((y**(-2/29)/y*y)/y))**7*(((y/(y**(-9)*y))/y)/y*y**(-2/21))**(-1/3) assuming y is positive.
y**(-80057/1827)
Simplify (o**(1/7)/o)/o*o**(-1/6)*(o/(o*o**7))/o*o/(o/((o**9/o)/o))*o*(o/(o*o**(-2/9)*o)*o)**(-22)*((o*o*o**(1/3))/o)/o**(-4/3) assuming o is positive.
o**(-535/126)
Simplify (o**(-1))**(28/5)/(o**(-1)*o/(o**(-4)/o*o))*((o/(o/(o/(o*o**3))*o)*o)/(o**(-4/3)*o))/(((o*o/(o*o**(-6)))/o)/o*o**(1 | {
"pile_set_name": "DM Mathematics"
} |
9 + 1679*z**3 wrt z.
4881*z**2
Let r be (-2)/(-17) + (-3636)/(-306). Find the second derivative of 6*w**5 + 6*w**5 + 921*w - r*w**4 - 5*w**5 - 973*w wrt w.
140*w**3 - 144*w**2
Let f be (-2)/8 + (-5 - 2313/(-36)). What is the third derivative of 245 - 2*z**5 + f*z**5 - 243 + 5*z**2 wrt z?
3420*z**2
Let c(g) be the third derivative of g**6/120 - g**5/30 - 143*g**4/24 + 2074*g**3/3 - g**2 - 12*g + 56. What is the first derivative of c(x) wrt x?
3*x**2 - 4*x - 143
Let a(u) be the second derivative of -u**6/6 - 55*u**4/12 + 595*u**3/6 - 3*u**2/2 - 834*u. What is the second derivative of a(h) wrt h?
-60*h**2 - 110
Differentiate -615*j**3 + 3*j**2 + 0*j**2 - 3*j**2 + 148 - 294 - j**2 wrt j.
-1845*j**2 - 2*j
What is the second derivative of 123*g + 4*g**5 - 2*g**3 - 4 + 3 - 2 + 64*g**2 - 12*g wrt g?
80*g**3 - 12*g + 128
What is the third derivative of 873*i**5 + 0 - 1590*i**2 - 1 - 405*i**2 - 445*i**2 + 2 wrt i?
52380*i**2
Let u(m) be the second derivative of 0*m**2 - 14*m**3 - 11*m + 0*m**6 + 0*m**5 + 0 + 0*m**4 - 79/42*m**7. What is the second derivative of u(n) wrt n?
-1580*n**3
Let y(i) = -i**3 + 18*i**2 + 2*i - 27. Let m = -40 + 58. Let j be y(m). Find the third derivative of j*l**2 - 4*l**2 - 23*l**4 + 10*l**4 wrt l.
-312*l
Let d(a) be the first derivative of 27*a**2 + 0*a**5 + 1/3*a**6 + 0*a - 29/4*a**4 + 186 - 1/3*a**3. Find the third derivative of d(h) wrt h.
120*h**2 - 174
What is the second derivative of 585*w**2 - 96*w**2 + 50407*w + 129*w**2 - 50388*w wrt w?
1236
Let h be (-8)/(-1) - (-8)/(-2). Let a be (-2)/(-12)*173 + 8/48. Find the third derivative of n**h - 14*n**2 - a*n**4 - 6*n**4 wrt n.
-816*n
Let s(l) be the third derivative of -743*l**6/120 - 164*l**3 - 774*l**2 - 3*l. Find the first derivative of s(a) wrt a.
-2229*a**2
Suppose 0*g + 74 = 3*g - 4*f, 2*g - 61 = 5*f. Find the third derivative of -21*w**2 + g*w**2 + 6*w**5 + 2*w**2 - 3*w**3 + 16*w + 11*w**5 wrt w.
1020*w**2 - 18
Find the second derivative of -9*l**2 + 985*l**5 + 4*l**2 - 73*l + 7*l**2 - 25*l**2 + 25*l**2 wrt l.
19700*l**3 + 4
Let v(w) = 1933*w**3 + 20*w**2 + 1436. Let a(p) = 1929*p**3 + 25*p**2 + 1436. Let s(b) = -4*a(b) + 5*v(b). Differentiate s(l) wrt l.
5847*l**2
Let n(f) be the first derivative of 0*f**2 - 31/3*f**3 + 74*f - 2/5*f**5 - 139 + 0*f**4. What is the derivative of n(m) wrt m?
-8*m**3 - 62*m
What is the third derivative of -708*q**2 - 4119*q**2 + 1247*q**2 - q**6 + 2247*q**5 wrt q?
-120*q**3 + 134820*q**2
What is the third derivative of 8*k - 3*k**5 + 41*k**4 - 136*k + 12*k**5 - 78*k**3 - 3*k**5 + 10*k**2 - 39*k**4 wrt k?
360*k**2 + 48*k - 468
Suppose -3*j + 597 = 5*w - 0*j, -2*w - j = -238. What is the derivative of 108 - 77 + 111*v + 20 + w wrt v?
111
Let z(c) = -2*c + 39. Let b be z(0). What is the third derivative of -456 - 3*v**2 + 125*v**3 + v - b*v**3 + 456 wrt v?
516
Suppose 3*n = 49 + 80. Let z = n + -40. What is the derivative of 27 - 9*g**3 - 4 - 3*g**3 - 28*g**z wrt g?
-120*g**2
Let d(f) = f**4 + f**2 - 1. Suppose 17*m - 22*m = -30. Let y(w) = -82*w**4 - 6*w**2 + 65. Let x(q) = m*d(q) + y(q). Differentiate x(o) with respect to o.
-304*o**3
Find the third derivative of 802*t**2 - 580*t**3 - 448*t**2 - 784*t**3 + 1156*t**2 wrt t.
-8184
Let c(t) be the third derivative of 31*t**6/8 - 261*t**4/4 + 3*t**2 + 74*t. Find the second derivative of c(d) wrt d.
2790*d
Let j(b) be the second derivative of 0*b**2 + 0 + 70*b - 113/12*b**4 - 40/3*b**3. What is the second derivative of j(f) wrt f?
-226
Find the first derivative of -5349*v**2 + 1379 + 607 - 2688 - 2635 wrt v.
-10698*v
Let d(j) = -635*j**3 - 14*j**2 + 9*j + 250. Let t(f) = 127*f**3 + 3*f**2 - 2*f - 50. Let w(q) = 3*d(q) + 14*t(q). What is the second derivative of w(m) wrt m?
-762*m
Let i(h) be the third derivative of h**8/48 + 5*h**7/42 - 2117*h**4/24 - h**3/6 + 4301*h**2. What is the second derivative of i(k) wrt k?
140*k**3 + 300*k**2
Suppose 2*a = -6*l + 3*l + 7, 0 = 2*a + 7*l - 3. Find the second derivative of 99*f**a - 13 - 1 - 3*f - 9 - 6 wrt f.
1980*f**3
Suppose -18 = y - 2*y + 3*j, -4*y + 2*j + 22 = 0. Let k = 264 + -246. What is the second derivative of y*c + 8*c + k*c**5 - 2*c**5 wrt c?
320*c**3
Let m(z) be the second derivative of 8527*z**4/12 - 2465*z**2/2 - 2036*z. What is the first derivative of m(i) wrt i?
17054*i
Suppose -5*s + 2 = -r, 5*r - 10*s - 10 = -5*s. Differentiate 1347*k - 1347*k - 3*k**r + 90 - 3*k**2 with respect to k.
-9*k**2 - 6*k
Suppose c + 5*u - 9625 = 0, -4*c = -5*c + 4*u + 9652. Find the third derivative of -9640 + c - 107*m**3 - 92*m**2 wrt m.
-642
Let y(i) = -1. Let r(w) be the first derivative of 17*w**2/2 + 41*w - 51. Let a(o) = r(o) - 3*y(o). Find the first derivative of a(d) wrt d.
17
Let m(d) = -1563*d**2 - 6*d + 66. Let z(l) = -1565*l**2 - 7*l + 60. Let v(h) = 4*m(h) - 3*z(h). Find the second derivative of v(q) wrt q.
-3114
Let t be (4 + -5 - -6) + -3 + 8. Differentiate t + 286 - 8*b - 163 + 4*b**2 - b**2 wrt b.
6*b - 8
Let b be 6/(-9) - ((-17)/3 + 3). Find the second derivative of 0*k + 10*k**b - 26*k + 128*k + 89*k + 8*k**3 wrt k.
48*k + 20
Let v(i) be the second derivative of -1345*i**3/6 - 1357*i**2/2 - 1030*i - 1. What is the derivative of v(j) wrt j?
-1345
Let t(x) = -x**2 + x + 4. Let s(i) = -1113*i**2 + 85*i + 29. Let m(w) = s(w) - 6*t(w). Find the second derivative of m(r) wrt r.
-2214
What is the first derivative of -101 - 1382*k**4 + 331*k**4 - 315 - 61 wrt k?
-4204*k**3
Let b(u) be the second derivative of -13/3*u**3 + u**2 + 26/15*u**6 + 13*u + 0*u**4 + 1 + 0*u**5. Find the second derivative of b(o) wrt o.
624*o**2
Let m(x) = x**3 - 2*x + 5. Let k(a) = -111*a**3 - 4*a - 499. Let y(i) = 2*k(i) - 4*m(i). What is the derivative of y(s) wrt s?
-678*s**2
Suppose 533*c - 540*c = -35. What is the second derivative of b - 12*b + 7 + 129*b**5 - 3*b**5 + 10*b**c wrt b?
2720*b**3
Suppose 12 = -4*z + 16. Suppose -3*c + 9 + z = p, 2*c + 12 = 4*p. Find the second derivative of 10*s**c + 14*s - 30*s**2 - 11*s**3 + 20*s**2 wrt s.
-66*s
Suppose 0 = 4*m - 5*c - 13, c = -4 + 3. Let r be ((-12)/42)/((-7)/98*2). Find the second derivative of 10*p - 23*p**5 - r + 14*p**5 + m wrt p.
-180*p**3
Suppose 62 + 10 = 4*s. Suppose -s = -11*p + 8*p. What is the third derivative of 0 - p*w**2 - 7*w**2 + 0 - 10*w**3 wrt w?
-60
Let a(j) be the third derivative of j**7/105 - 91*j**5/15 + 1781*j**3/6 + 2*j**2 - 600. What is the derivative of a(w) wrt w?
8*w**3 - 728*w
Let q(w) be the second derivative of w**4/12 - 17*w**3/6 - 7*w**2/2 - 23*w. Let i be q(19). Find the second derivative of 27*h**5 - 5*h - i*h**5 - 13*h wrt h.
-80*h**3
Let u = -1440 + 1444. Let r(j) be the first derivative of -13/4*j**u - 2 + 5/2*j**2 + 0*j**3 + 0*j. What is the second derivative of r(w) wrt w?
-78*w
Let o(n) be the second derivative of 887*n**6/30 - 2249*n**4/6 - n**3/3 + n - 3820. Find the third derivative of o(z) wrt z.
21288*z
Let u(p) be the first derivative of p**3 + 258*p**2 + 6627*p + 7677. Differentiate u(s) wrt s.
6*s + 516
Let s(p) = 5267*p**2 - 6*p + 1208. Let q(x) = 10535*x**2 - 13*x + 2413. Let g(y) = -6*q(y) + 13*s(y). What is the first derivative of g(n) wrt n?
10522*n
Let m(u) = -u**2 + 3. Let j(f) = -2030*f**2 + 68*f - 17. Let d(l) = -j(l) - 6*m(l). What is the second derivative of d(t) wrt t?
4072
Let r(k) = -11*k**3 + 102*k**2 - 639*k - 7. Let q(y) = 7*y**3 - 67*y**2 + 426*y + 5. Let h(m) = 7*q(m) + 5*r(m). What is the second derivative of h(w) wrt w?
-36*w + 82
Let h = -11 - -30. What is the third derivative of 69*j**6 - 86*j**6 + h*j + 0*j**2 + j**2 - 110*j**6 wrt j?
-15240*j**3
What is the derivative of -1465819*k**4 + 1465803*k**4 + 1123 + 638 wrt k?
-64*k**3
Let r(a) be the second derivative of 391*a**5/10 + 655*a**2 - 1275*a. Find the first derivative of r(p) wrt p.
2346*p**2
Let y(d) = 13*d. Let r be y(0). What is the third derivative of r*c - 53*c**2 + 3*c + 115*c**5 + 16*c**2 - 40*c**2 + 9*c**2 wrt c?
6900*c**2
Let r(o) = -o - 6. Let a be r(-16). Find the third derivative of a*u**4 + 18*u**4 - 126*u**4 + 12*u**4 + u - 33*u**2 + 0*u wrt u.
-2064*u
Let q(g) be the first derivative of 7*g**5/5 + 21*g**2 - 3170*g + 2775. What is the first derivative of q(z) wrt z?
28*z**3 + 42
Let q(o) be the third derivative of -6203*o**6/120 - 29*o**5/60 - 88*o**3/3 + 2*o**2 - 25 | {
"pile_set_name": "DM Mathematics"
} |
z - y - 13 = 0, 0 = 4*z - 7*y + 2*y - 17. Suppose 9 = -z*i, -4*f + 3*i - 12 = -1. What is the fourth biggest value in f, -0.1, 5, 0.4?
f
Suppose 2*h = q + 2, -3 + 1 = q + 3*h. Let k be 6/9*(-3)/q. Let g be (0 + -2)*(3 - k). What is the second smallest value in 0.4, g, 0.06?
0.06
Let l = 65 - 909/14. What is the second biggest value in 1.1, l, -1/6?
l
Suppose 0 = 2*s + 5*z + 97 - 21, 2*s + 112 = 4*z. Let n be (-8)/s*4/2. Which is the third biggest value? (a) n (b) 0.5 (c) 4
a
Let k be -1 - -2*(-10)/(-12). Let n = -60.6 - -62.6. Let v = -0.3 + -0.7. Which is the third smallest value? (a) k (b) n (c) v
b
Suppose -9395*i - 213 = -9392*i. Which is the smallest value? (a) 2/17 (b) 8/7 (c) i
c
Let v(x) = x**2 - 17*x + 30. Let c be v(15). Let h = -0.087 - -0.287. Let n = -137/5 - -28. What is the smallest value in c, h, n?
c
Let v = -0.022 - 0.978. Let m = 29 - 320/11. Which is the second smallest value? (a) v (b) 4 (c) m
c
Let i = 0.01 + -13.81. Let w = i - -18.8. Which is the third smallest value? (a) w (b) -0.4 (c) -5
a
Let v = -0.08 - 0.02. Let c = 25 - 25.2. What is the third biggest value in -5, v, c, 2?
c
Let f = 5 - 5.4. Let c = 574 - 574.3. What is the third smallest value in f, -22, c?
c
Let i = 0.198 + -0.088. Let w = -0.71 + i. What is the second biggest value in 5, w, 0.5, -5?
0.5
Let m = 36.9 - 31.4. What is the fourth biggest value in -4, m, 0.1, -3?
-4
Let l be ((-20)/80)/((-2)/12). Which is the smallest value? (a) -2 (b) l (c) 0.01 (d) -1/2
a
Let x = -1.921 - 3.279. What is the third biggest value in 0.5, -0.04, x?
x
Let p = 27 - 25.7. Let h = 1.4 - p. Let l = 0.01 - -3.99. What is the second biggest value in h, 0, l?
h
Suppose -3*l + 2*h - 256 = 0, 3*h + 8 = -l - 92. What is the third biggest value in l, -0.4, 1/4?
l
Let l = -53/52 + 133/156. Let o be (-2)/(-8) + 2/(-8). Which is the fourth smallest value? (a) o (b) -3/8 (c) 4/5 (d) l
c
Let a = 3.5 + 0.5. Let y = a - 7. Let k = -1574.9 - -1575. What is the second biggest value in -0.2, k, y?
-0.2
Let i = -0.2 + 0.1. Let q = 935.9 + -846. Let z = 90 - q. What is the smallest value in i, 2/25, z?
i
Let v = 922 + -920. What is the third smallest value in v, -4, 1/3, 5?
v
Let x = 122.176 - 125.1. Let k = x + -0.076. Which is the third biggest value? (a) -1/12 (b) -0.39 (c) k
c
Let f = -0.08 + 0.38. Let u = 1087 - 1088. Which is the biggest value? (a) u (b) f (c) 0.02
b
Let d = 228 + -223. What is the biggest value in 2/3, d, 17?
17
Let r = 4669.73 + -4714. Let q = -44 - r. Which is the second smallest value? (a) -1/5 (b) q (c) -1/10
c
Let m = -21/122 - 1435/1586. What is the third smallest value in -1/9, m, -1/2?
-1/9
Let b = 5.242 + -4.742. Let u = -55/36 - -7/9. What is the second biggest value in -0.4, b, u?
-0.4
Let q = -90 - -35. Let w = q - -55.1. Which is the third smallest value? (a) -2/5 (b) -5 (c) -7 (d) w
a
Let p = 3.7 - 0.7. Let q = -0.4081 + 0.0081. Let r = 1 + -0.88. Which is the biggest value? (a) p (b) r (c) q
a
Let z be 23/(-4)*2*-4. Let g be 2/5 - z/(-10). Suppose -12 = -g*t - 32, 5*t + 28 = -2*j. Which is the third biggest value? (a) -5 (b) j (c) -2/5
a
Let x = -24 - -23. Suppose -5*t = -3*t - 180. Let y be ((-1)/(-10))/((-12)/t). Which is the smallest value? (a) -6/7 (b) x (c) y
b
Let k = 3 - -1. Suppose 2*a + 18 = k*a. Let n be 2/(-8) + a/(-28). What is the third biggest value in n, -2/3, -2/9?
-2/3
Let t = 1315.96 - 1316. What is the second smallest value in 4, t, -1.5?
t
Let l = 12 - 9. Let k(o) = o**3 + 7*o**2 - o - 1. Let z be k(-7). Let w = z - 2. Which is the second biggest value? (a) w (b) -3/4 (c) l
c
Let h be 22/8 + (-56)/14. Let j be 4/(-4)*2/5. What is the smallest value in h, -0.2, j?
h
Let q(w) = -w - 6. Let i be q(-4). Let t = 513/1673 - 5/239. Which is the second smallest value? (a) -13 (b) 5/3 (c) i (d) t
c
Let k = -92 - -93. Let v be 15/(-66)*4 + k. Which is the third smallest value? (a) -4 (b) v (c) 3/7
c
Let v = 76.179 + -0.179. Let u = 79 - v. Let t = -13/6 - -11/6. What is the second smallest value in t, -3, u?
t
Let t = 22/5 - 139/35. Let s = -2 - -1. Let j be 20/15*(-3)/(-2). Which is the biggest value? (a) j (b) t (c) s
a
Let r = -0.6 + 37.6. Let f = 37.3 - r. Let g = 0.11 - 0.11. Which is the second biggest value? (a) f (b) 4 (c) g
a
Let l = -6.24 + 6.18. Which is the second smallest value? (a) 1 (b) -1/26 (c) l
b
Let r = 2 + -1. Let n = 38.988 + 0.012. Let y = -35 + n. Which is the second biggest value? (a) r (b) -0.3 (c) y
a
Let g = 9160/561 - -1/187. What is the fourth smallest value in 0.1, -3, g, -0.3?
g
Let p be (-6)/(25/(-8) + 11/88). Let z = 0.03 + 0.09. What is the biggest value in p, z, -5, 0.2?
p
Let y = -129 + 124.9. Let k = y - -8.1. Which is the second smallest value? (a) -5 (b) -3 (c) 2 (d) k
b
Let j = 6 - 3. Let i = -0.052 + -0.248. Let x be -4*105/(-102) - 4. What is the third biggest value in x, j, i?
i
Let v(a) = -a**3 + 5*a**2 + a - 6. Let w = 21 - 16. Let h be v(w). What is the smallest value in h, 0.4, -0.4?
h
Let j = -1 - -0.8. Suppose 0 = -4*s - 2*m + 12, 5*s - m - 6 = m. Let d be (-3)/s - 45/(-36). Which is the third smallest value? (a) d (b) 2 (c) j
b
Let p = 177 - 184. Which is the smallest value? (a) -1 (b) -6 (c) p (d) -1/3
c
Let z = 0.27 + 2.679. Let m = z - -0.051. Let p be ((-13)/(-65))/((-1)/(-5)). Which is the biggest value? (a) m (b) -3/5 (c) p
a
Suppose 0 = 2*y + g - 4 + 2, -5*y - 2*g + 4 = 0. Suppose y = 5*l - 10 - 0. What is the smallest value in -9, -5, l?
-9
Let r = -52 - -54.4. Let c = -66.9 + 64. Let k = c + r. What is the third smallest value in -4/7, -2, k?
k
Suppose -d + 4*i = 4*d - 37, 0 = 4*i - 8. Suppose -5 + 50 = -d*y. What is the second smallest value in y, -7/5, 4?
-7/5
Let g = -955/39 - -73/3. Which is the biggest value? (a) -95 (b) -0.3 (c) g
c
Let a = -2.2 + -5.8. Let s = a - -10. What is the third biggest value in 5, s, -2, -1/5?
-1/5
Let r(b) = 14*b**2 - 86*b + 16. Let y be r(6). Suppose -5*u + 4 = -3*u. What is the biggest value in u, y, 0, 2/23?
y
Let t = 95.0446 + -0.0446. What is the biggest value in -3, 2/13, 4/7, t?
t
Let o = 0.16 + -16.16. Let w = -15.6 - o. Let f = 2.2 - 2. What is the smallest value in f, 4, w?
f
Let v = 172 - 437/2. Let n = -48 - v. What is the third smallest value in 5, n, 2/3?
5
Let c = -0.004 + -0.296. Let g = -1 + 1.1. What is the biggest value in c, g, 0.3?
0.3
Let h = -11175/2 + 5588. Let i = 0.1 - 0.2. What is the third smallest value in h, 0.2, i, -3?
0.2
Let t = 0.3 - 0.4. Let f = -6.599 + 4.599. What is the biggest value in -5, t, f?
t
Let y(m) be the first derivative of -m**2/2 + 7*m - 5. Let o be y(3). Let q = 12 - 12. Which is the second biggest value? (a) o (b) q (c) 5
a
Let t = 7.92 + -2.92. Which is the second smallest value? (a) -4 (b) t (c) -2
c
Let o = 0.047 - -3.053. Let f = -5.1 + o. What is the third smallest value in 2/11, f, 1/8?
2/11
Let a = 5 - 9. Let s = -1.07 - 0.13. Let m = s - -1.5. What is the second smallest value in m, a, 3?
m
Let m(c) = 7*c. Let h be m(-3). Let v be 9120/(-35) - 12/h. Let d be 155/v + (-2)/13. What is the smallest value in 0.2, d, -5?
-5
Suppose -15*m + 13*m + p - 12 = 0, -3*m + 4*p - 28 = 0. Which is the fourth biggest value? (a) 3/5 (b) 0.3 (c) m (d) 3
c
Let b = -4 + 4.3. Let u = -10.06 + 1.06. Let n = u - -8.5. What is the second smallest value in b, 0, n?
0
Let l(w) = -2*w + 3. Let m be l(-1). Suppose -m*d - 5 + 10 = 0. Suppose -12 = 4*q - 5*g, 0*q = 2*q + g + 6. Which is the biggest value? (a) q (b) 2 (c) d
b
Let i = -187 + 181. Which is the biggest value? (a) -12 (b) i (c) 3 (d) -0.1
c
Let i = -1028 + 1025. Which is the biggest value? (a) i (b) -0.7 (c) -10
b
Let i = 166.3 + -174. Let y = i - -8. Which is the biggest value? (a) -1 (b) -0.3 (c) y
c
Let f = -238 - -229. What is the second biggest value in 2/7, 0.3, f?
2/7
Let g = 6277/5 + -1260. Which is the biggest value? (a) 2/13 (b) g (c) -4
a
Let c be 2/(-24) - 7/(-21). Let p = -0.061 + 0.261. What is the second smallest value in -4, p, c, -5/2?
-5/2
Let u = -267 - -3473/13. Which is the third smallest value? (a) -2/13 (b) 7 (c) u
b
Let o = -8.5 + -3.5. Let i = o - -11.7. What is the biggest value in i, 0.4, -3?
0.4
Let u = 1523.1 - 1512 | {
"pile_set_name": "DM Mathematics"
} |
937979?
False
Is 70 a factor of 2078790?
True
Is 157 a factor of 17003618?
False
Does 70 divide 83720?
True
Is 413294 a multiple of 33?
False
Is 1631962 a multiple of 24?
False
Is 36540 a multiple of 45?
True
Is 77077 a multiple of 121?
True
Does 65 divide 238810?
True
Is 9 a factor of 1303002?
True
Does 192 divide 330684?
False
Is 5 a factor of 25633?
False
Does 8 divide 102950?
False
Is 2513987 a multiple of 67?
False
Does 21 divide 139734?
True
Does 126 divide 15269184?
True
Does 22 divide 1049182?
False
Is 417784 a multiple of 644?
False
Does 477 divide 32416443?
True
Does 331 divide 610058?
False
Does 51 divide 497635?
False
Is 1983290 a multiple of 480?
False
Does 548 divide 24112548?
True
Is 212 a factor of 761840?
False
Is 88101 a multiple of 753?
True
Does 12 divide 342768?
True
Is 164 a factor of 3162020?
False
Does 176 divide 264082?
False
Is 21 a factor of 1963640?
False
Is 2811406 a multiple of 3?
False
Is 20 a factor of 1339732?
False
Is 51681 a multiple of 69?
True
Does 19 divide 17176?
True
Is 2 a factor of 68496?
True
Is 18725332 a multiple of 33?
False
Is 400258 a multiple of 52?
False
Is 43 a factor of 4989065?
False
Does 8 divide 2168454?
False
Does 47 divide 7802564?
True
Is 255150 a multiple of 35?
True
Is 128677 a multiple of 8?
False
Is 12 a factor of 677736?
True
Does 139 divide 12980?
False
Is 41139 a multiple of 5?
False
Is 5 a factor of 332421?
False
Is 282844 a multiple of 31?
True
Does 364 divide 168000?
False
Does 26 divide 552547?
False
Is 2514971 a multiple of 149?
True
Is 7463672 a multiple of 106?
True
Is 43961 a multiple of 62?
False
Is 46 a factor of 289248?
True
Does 1159 divide 3193337?
False
Is 111 a factor of 1858473?
True
Is 42 a factor of 561918?
True
Does 63 divide 31437?
True
Is 15180 a multiple of 5?
True
Is 3873803 a multiple of 1035?
False
Is 2567670 a multiple of 105?
True
Does 43 divide 1971636?
True
Does 16 divide 280352?
True
Is 84084 a multiple of 1001?
True
Is 227 a factor of 44931?
False
Is 5267942 a multiple of 22?
False
Does 2396 divide 15820788?
True
Is 575127 a multiple of 9?
True
Is 305 a factor of 165615?
True
Is 15 a factor of 91365?
True
Does 8 divide 1344680?
True
Does 266 divide 187546?
False
Is 10 a factor of 101896?
False
Does 1176 divide 3276336?
True
Is 98776 a multiple of 15?
False
Does 790 divide 6238255?
False
Is 115 a factor of 5947685?
True
Is 511902 a multiple of 18?
True
Is 2236554 a multiple of 15?
False
Is 6 a factor of 2243704?
False
Does 5 divide 1413293?
False
Does 5 divide 2145656?
False
Does 52 divide 28184?
True
Is 3666384 a multiple of 24?
True
Is 24752 a multiple of 26?
True
Is 15402 a multiple of 34?
True
Does 178 divide 286903?
False
Is 11831886 a multiple of 33?
True
Is 2168339 a multiple of 2?
False
Is 6474240 a multiple of 240?
True
Does 20 divide 55445?
False
Is 687777 a multiple of 23?
False
Is 7222 a multiple of 2?
True
Is 2425745 a multiple of 313?
False
Is 6126560 a multiple of 22?
True
Does 251 divide 14558?
True
Is 22 a factor of 11416408?
False
Does 127 divide 2754853?
False
Is 623354 a multiple of 148?
False
Is 5 a factor of 125973?
False
Does 28 divide 77358?
False
Does 88 divide 535216?
True
Is 5140969 a multiple of 42?
False
Does 46 divide 1277144?
True
Is 577361 a multiple of 467?
False
Is 79 a factor of 676930?
False
Does 1115 divide 22768571?
False
Is 8 a factor of 439653?
False
Does 12 divide 466760?
False
Does 751 divide 3041313?
False
Is 26 a factor of 149500?
True
Is 366 a factor of 785070?
True
Does 28 divide 112700?
True
Is 340399 a multiple of 268?
False
Is 732627 a multiple of 29?
True
Is 5 a factor of 983620?
True
Is 373 a factor of 390453?
False
Does 55 divide 88990?
True
Is 568998 a multiple of 82?
True
Is 1403093 a multiple of 45?
False
Is 50 a factor of 299910?
False
Is 126280 a multiple of 56?
True
Is 504 a factor of 16161264?
True
Does 7 divide 2475371?
False
Is 278031 a multiple of 13?
True
Is 106 a factor of 25308?
False
Is 1081 a factor of 532933?
True
Does 583 divide 17903930?
True
Does 74 divide 17563086?
True
Does 100 divide 47608?
False
Does 11 divide 572055?
True
Is 184177 a multiple of 45?
False
Is 455300 a multiple of 68?
False
Is 64 a factor of 345790?
False
Is 10222587 a multiple of 2217?
True
Is 574245 a multiple of 15?
True
Is 818403 a multiple of 303?
True
Is 192 a factor of 3653952?
True
Is 19 a factor of 258722?
False
Is 148356 a multiple of 4?
True
Is 5779687 a multiple of 1564?
False
Is 84 a factor of 13524?
True
Is 89 a factor of 3258290?
True
Is 1260008 a multiple of 478?
True
Is 606364 a multiple of 22?
True
Does 744 divide 354144?
True
Is 943 a factor of 15054052?
True
Is 70 a factor of 645820?
True
Does 31 divide 625394?
True
Is 4963772 a multiple of 178?
False
Does 2 divide 144161?
False
Does 1981 divide 10138758?
True
Is 361728 a multiple of 125?
False
Is 645285 a multiple of 999?
False
Does 14 divide 2594060?
True
Is 13 a factor of 7686562?
True
Is 3694920 a multiple of 82?
True
Is 7305897 a multiple of 617?
True
Does 7 divide 83461?
True
Is 3 a factor of 257101?
False
Does 20 divide 1422140?
True
Does 867 divide 8130101?
False
Does 801 divide 1207230?
False
Does 230 divide 4064330?
True
Does 81 divide 234602?
False
Does 328 divide 4592?
True
Does 17 divide 3655?
True
Is 22 a factor of 312092?
True
Is 380 a factor of 802180?
True
Is 59 a factor of 265485?
False
Is 30 a factor of 242790?
True
Is 118 a factor of 49283?
False
Does 14 divide 5156032?
True
Is 1575843 a multiple of 219?
False
Does 215 divide 6198235?
True
Does 26 divide 321578?
False
Is 234066 a multiple of 168?
False
Is 25 a factor of 1671646?
False
Is 839 a factor of 8092155?
True
Is 393125 a multiple of 425?
True
Is 54 a factor of 22635888?
False
Is 393987 a multiple of 33?
True
Does 618 divide 3884534?
False
Is 509 a factor of 181713?
True
Is 249804 a multiple of 9?
True
Is 80766 a multiple of 42?
True
Is 20 a factor of 107800?
True
Is 416271 a multiple of 57?
True
Is 1556400 a multiple of 16?
True
Is 9 a factor of 1751784?
False
Is 18 a factor of 5085036?
True
Does 4 divide 465852?
True
Is 236 a factor of 215704?
True
Is 222 a factor of 102786?
True
Is 483 a factor of 439530?
True
Does 328 divide 611064?
True
Is 39 a factor of 57876?
True
Does 13 divide 30086342?
True
Is 2 a factor of 16962?
True
Is 23 a factor of 293480?
True
Is 939966 a multiple of 219?
False
Does 3 divide 243596?
False
Is 120651 a multiple of 307?
True
Is 78 a factor of 162268?
False
Does 13 divide 126555?
True
Is 13 a factor of 132613?
True
Is 79044 a multiple of 28?
True
Is 290 a factor of 3480?
True
Is 14508 a multiple of 93?
True
Is 5126408 a multiple of 31?
True
Is 44 a factor of 3608?
True
Is 768101 a multiple of 310?
False
Is 1177 a factor of 258542?
False
Does 13 divide 4870437?
True
Is 403261 a multiple of 50?
False
Is 45 a factor of 64305?
True
Is 2909 even?
False
Is 556650 a multiple of 18?
True
Is 66 a factor of 4163426?
False
Is 363568 a multiple of 31?
True
Does 30 divide 6109567?
False
Is 115323 a multiple of 150?
False
Is 276888 a multiple of 498?
True
Is 53 a factor of 65720?
True
Is 232 a factor of 121104?
True
Is 529992 a multiple of 51?
True
Is 514 a factor of 945246?
True
Is 175 a factor of 152950?
True
Does 7 divide 4076590?
True
Is 235171 a multiple of 416?
False
Does 15 divide 16929?
False
Is 1936 a multiple of 4?
True
Does 147 divide 157143?
True
Is 16424324 a multiple of 29?
True
Is 15 a factor of 806886?
False
Does 23 divide 96602?
False
Is 214 a factor of 50504?
True
Is 365 a factor of 12950954?
False
Is 683 a factor of 1591380?
False
Is 5323764 a multiple of 276?
True
Does 9 divide 138861?
True
Does 50 divide 5228350?
True
Does 139 divide 2050789?
False
Is 5 a factor of 7745?
True
Does 15 divide 480395?
False
Is 7570190 a multiple of 17?
False
Is 18 a factor of 14212368?
True
Is 55 a factor of 186670?
True
Is 37 a factor of 145151?
True
Does 48 divide 1589472?
True
Is 69 a factor of 1047282?
True
Is 11100453 a multiple of 1533?
True
Is 26 a factor of 3944057?
False
Is 310080 a multiple of 16?
True
Is 208 a factor of 1035424?
True
Does 111 divide 10265327?
False
Does 7 divide 2105?
False
Is 255138 a multiple of 26?
True
Does 135 divide 1290735?
True
Is 142 a factor of 381696?
True
Is 62 a factor of 453?
False
Is 677204 a multiple | {
"pile_set_name": "DM Mathematics"
} |
19844292.
2, 3, 337, 301643
List the prime factors of 13945489.
127, 109807
List the prime factors of 58878221.
1361, 43261
List the prime factors of 70510777.
257, 274361
What are the prime factors of 523496272?
2, 13, 83, 30323
List the prime factors of 519295894.
2, 13, 641, 31159
What are the prime factors of 84479325?
3, 5, 7, 37, 4349
List the prime factors of 2033466950.
2, 5, 29, 1402391
List the prime factors of 1860277512.
2, 3, 31, 67, 557
List the prime factors of 40831841.
17, 271, 8863
List the prime factors of 31093542.
2, 3, 37, 46687
What are the prime factors of 109022687?
29, 1571, 2393
List the prime factors of 648608145.
3, 5, 43240543
List the prime factors of 1757504816.
2, 3253, 33767
List the prime factors of 37672920.
2, 3, 5, 227, 461
What are the prime factors of 578526649?
19, 593, 51347
List the prime factors of 63260297.
63260297
List the prime factors of 3629977832.
2, 13, 59, 233, 2539
List the prime factors of 39270937.
191, 205607
What are the prime factors of 168671428?
2, 67, 629371
List the prime factors of 99006279.
3, 53, 127, 4903
List the prime factors of 2474659878.
2, 3, 31, 41, 324503
List the prime factors of 731105671.
2789, 262139
List the prime factors of 55127342.
2, 349, 78979
What are the prime factors of 30704348?
2, 47, 163321
List the prime factors of 57590621.
11, 193, 27127
What are the prime factors of 169581101?
37, 4583273
What are the prime factors of 181826305?
5, 17, 53, 40361
What are the prime factors of 1068779071?
79, 101, 133949
List the prime factors of 15309147.
3, 7, 607, 1201
What are the prime factors of 50981010?
2, 3, 5, 73, 23279
What are the prime factors of 1021254555?
3, 5, 68083637
What are the prime factors of 89550878?
2, 31, 37, 103, 379
What are the prime factors of 5335443010?
2, 5, 19, 43, 457, 1429
List the prime factors of 594967658.
2, 297483829
What are the prime factors of 560331399?
3, 186777133
List the prime factors of 42821082.
2, 3, 792983
What are the prime factors of 32358358?
2, 31, 557, 937
List the prime factors of 199185661.
383, 520067
List the prime factors of 542860237.
23, 23602619
What are the prime factors of 8280629?
7, 1182947
What are the prime factors of 68231923?
71, 631, 1523
What are the prime factors of 7635322?
2, 313, 12197
What are the prime factors of 1009442323?
463, 2180221
List the prime factors of 3900089501.
7, 11, 50650513
List the prime factors of 233898662.
2, 5839, 20029
List the prime factors of 40261491.
3, 17, 359, 733
What are the prime factors of 706289020?
2, 5, 35314451
List the prime factors of 73857450.
2, 3, 5, 67, 7349
What are the prime factors of 3612377462?
2, 2803, 644377
List the prime factors of 367095170.
2, 5, 13, 2823809
List the prime factors of 78753077.
13, 6057929
What are the prime factors of 111644028?
2, 3, 1033741
List the prime factors of 704092326.
2, 3, 7, 16764103
What are the prime factors of 215447992?
2, 19, 23, 61627
What are the prime factors of 42224328?
2, 3, 17, 3833
What are the prime factors of 37620073?
113, 332921
List the prime factors of 27105061.
83, 326567
What are the prime factors of 19213746?
2, 3, 73, 43867
What are the prime factors of 687387448?
2, 11, 157, 4523
List the prime factors of 137074505.
5, 27414901
List the prime factors of 164375869.
7, 23482267
List the prime factors of 4787854756.
2, 1196963689
List the prime factors of 3531414759.
3, 1177138253
What are the prime factors of 7517842921?
431, 2341, 7451
What are the prime factors of 38826457?
38826457
List the prime factors of 144535233.
3, 1481, 32531
List the prime factors of 88547051.
61, 499, 2909
What are the prime factors of 470990976?
2, 3, 1226539
List the prime factors of 749069549.
41, 2659, 6871
List the prime factors of 1777608022.
2, 53, 16769887
List the prime factors of 168594443.
43, 107, 36643
List the prime factors of 121206644.
2, 13, 419, 5563
What are the prime factors of 3094637734?
2, 29, 251, 212573
List the prime factors of 36888565.
5, 7, 1053959
List the prime factors of 393245267.
393245267
List the prime factors of 3880318145.
5, 11, 179, 35831
List the prime factors of 167763250.
2, 5, 353, 1901
List the prime factors of 1632354341.
1632354341
What are the prime factors of 264082710?
2, 3, 5, 19, 463303
What are the prime factors of 36302728?
2, 7, 11, 8419
What are the prime factors of 135617522?
2, 23, 2948207
List the prime factors of 4168740304.
2, 260546269
List the prime factors of 7077021906.
2, 3, 17293, 68207
List the prime factors of 94284055.
5, 1039, 18149
List the prime factors of 3856951451.
3856951451
List the prime factors of 38412182.
2, 29, 181, 3659
What are the prime factors of 44378074?
2, 13, 1706849
List the prime factors of 47057341.
47057341
List the prime factors of 32485979.
53, 71, 89, 97
List the prime factors of 126714700.
2, 5, 7, 157, 1153
List the prime factors of 59069285.
5, 11, 601, 1787
What are the prime factors of 237636752?
2, 269, 55213
List the prime factors of 41135310.
2, 3, 5, 131, 1163
List the prime factors of 274082095.
5, 7, 7830917
List the prime factors of 2532053631.
3, 844017877
List the prime factors of 698670497.
7, 331, 911
List the prime factors of 201499051.
13, 41, 257, 1471
List the prime factors of 595969313.
1811, 329083
List the prime factors of 4068650944.
2, 1409, 45119
List the prime factors of 105048657.
3, 7, 61757
List the prime factors of 6510278172.
2, 3, 1361, 398621
What are the prime factors of 26762596?
2, 7, 955807
What are the prime factors of 52931099?
13, 277, 14699
List the prime factors of 201640286.
2, 100820143
List the prime factors of 778291769.
778291769
List the prime factors of 920114120.
2, 5, 17, 739, 1831
List the prime factors of 6945351556.
2, 11, 13, 157, 77339
List the prime factors of 117484219.
349, 336631
List the prime factors of 1546216809.
3, 29, 977, 18191
What are the prime factors of 910508453?
4057, 224429
List the prime factors of 411061960.
2, 5, 19, 540871
List the prime factors of 444531072.
2, 3, 31, 107, 349
List the prime factors of 4630884426.
2, 3, 7, 67, 182851
List the prime factors of 2690823673.
199, 13521727
What are the prime factors of 3249404229?
3, 1083134743
List the prime factors of 5912933131.
7, 821, 1028873
List the prime factors of 268964525.
5, 31, 347051
List the prime factors of 1422528562.
2, 7, 13, 7816091
What are the prime factors of 1827272668?
2, 13, 35139859
List the prime factors of 151443929.
7, 13, 983, 1693
List the prime factors of 24352250.
2, 5, 13, 59, 127
What are the prime factors of 1686684339?
3, 3929, 47699
List the prime factors of 51214844.
2, 659, 19429
What are the prime factors of 980820785?
5, 7, 2843, 9857
List the prime factors of 44394841.
41, 1082801
List the prime factors of 69837639.
3, 23279213
What are the prime factors of 384581977?
13, 2275633
What are the prime factors of 1790371434?
2, 3, 29, 109, 94399
List the prime factors of 1794882988.
2, 448720747
What are the prime factors of 16617989?
19, 227, 3853
What are the prime factors of 287767899?
3, 29, 53, 71, 293
List the prime factors of 21391696.
2, 367, 3643
What are the prime factors of 183207006?
2, 3, 19, 23, 23291
List the prime factors of 19357943.
11, 157, 1019
What are the prime factors of 209030068?
2, 13, 4019809
What are the prime factors of 67058147?
13, 181, 28499
What are the prime factors of 1087184943?
3, 13, 238261
What are the prime factors of 4603024013?
7, 657574859
List the prime factors of 42041229.
3, 43, 325901
What are the prime factors of 950814236?
2, 237703559
What are the prime factors of 463463729?
463463729
What are the prime factors of 34328996?
2, 13, 509, 1297
List the prime factors of 134938736.
2, 8433671
List the prime factors of 96155701.
41, 2345261
What are the prime factors of 136793543?
17, 1783, 4513
What are the prime factors of 223371788?
2, 1033, 54059
What are the prime factors of 130113331?
2837, 45863
List the prime factors of 119266813.
1163, 102551
What are the prime factors of 798345964?
2, 13, 131, 163, 719
What are the prime factors of 444655825?
5, 17, 37, 28277
What are the prime factors of 17581421?
11, 13, 11177
List the prime factors of 2827947653.
41, 47, 1467539
List the prime factors | {
"pile_set_name": "DM Mathematics"
} |
e -4*i - w = r - 21, -2*r = -8. Suppose 3*o + i = 92. What are the prime factors of o?
2, 3, 5
What are the prime factors of -2*1 - (960925/(-119) + -1 + -4)?
2, 7, 577
Let p(u) = 5*u**2 - 24*u - 7. Let s be p(5). Let n(b) = -152*b**3 - b + 2. List the prime factors of n(s).
2, 5, 61
Suppose -2*t + j = -4*j - 19, -j - 3 = 0. Suppose 2*g = 2*y + 1116, t*y = 3*g - 781 - 892. List the prime factors of g.
557
Suppose 20472*t - 20463*t - 68229 = 0. What are the prime factors of t?
3, 7, 19
Let f(c) = 521*c - 884. List the prime factors of f(23).
11, 1009
Let d(p) = -52*p**3 - 2*p**2 - 3*p - 11. Let w be d(-3). Let j = 2077 - w. What are the prime factors of j?
3, 7, 11
Let p be (-3 + 5)*(-1 + 2). Let w(i) = 41 - 4*i - i**2 - 6*i**3 + p*i + 5*i**3. List the prime factors of w(0).
41
Let d(r) = -r**3 + 37*r**2 + 44*r + 92. What are the prime factors of d(28)?
2, 5, 419
Suppose 24076 = 4*c - 5*s, -7*c - 30066 = -12*c - s. What are the prime factors of c?
2, 31, 97
Let u be (120/(-9))/8*-39. Suppose -11 + u = -6*p. Let v(b) = -16*b - 73. What are the prime factors of v(p)?
71
Let y = 53177 + -25203. What are the prime factors of y?
2, 71, 197
Let h(g) = -2*g**3 - 13*g**2 - 27*g - 1. Suppose 30*m + 181 + 179 = 0. List the prime factors of h(m).
1907
Let g = -51206 + 99116. What are the prime factors of g?
2, 3, 5, 1597
Suppose -785 + 12017 = 3*s. Suppose 0*i = 16*i - s. Let h = i + -21. List the prime factors of h.
3, 71
Let n be -9 + 5 - (-1 + -8). Suppose 0 = -4*l + 4*f + 32, -n*l - f = f - 33. What are the prime factors of -3 - -180 - (l - 7)?
3, 59
Let t(f) = 1717*f**3 + 14*f**2 - 24*f + 8. List the prime factors of t(2).
2, 3, 191
Let h(w) = 16 + 18 - 8 + w - 5 + 3*w. Let d(g) = -11*g - 3. Let t be d(-2). List the prime factors of h(t).
97
Let x = -39561 + 69896. What are the prime factors of x?
5, 6067
Let f = -38 - -42. Suppose 13*d + f*a + 101 = 16*d, -a = -d + 32. What are the prime factors of d?
3
Suppose 702093 = 22*f + 3*f - 4*f. List the prime factors of f.
67, 499
Let t(k) = 14*k**3 - k**2 + k. Let u be t(1). Suppose -u*l = -2084 - 114. List the prime factors of l.
157
Suppose 2*g + 4*u = -2*g + 28, g - u = 3. Suppose -l - g = 0, 5*s + l + 1020 = -0*l. Let a = -119 - s. What are the prime factors of a?
2, 3, 7
Suppose -4*z + 64 = -4*c, 2*z - 4*c + 16 = 50. What are the prime factors of (z/6 + -4)*(3 + -97)?
3, 47
Let q(p) = -75*p**3 + 8*p**2 + 16*p + 3. What are the prime factors of q(-2)?
3, 67
Let l = -4191 + 8274. What are the prime factors of l?
3, 1361
Let n(c) = -1439*c - 2613. List the prime factors of n(-5).
2, 29, 79
Let t = 19958 + 4232. What are the prime factors of t?
2, 5, 41, 59
Let v = 41516 - 16844. List the prime factors of v.
2, 3, 257
Let r(f) = 6*f**2 + 10*f + 358. What are the prime factors of r(-36)?
2, 13, 23
Let x = 322 + -295. Suppose -24*o - 2760 = -x*o. What are the prime factors of o?
2, 5, 23
Let u be 323 - (4 + -5)*-4. Suppose 0 = -2*t - 7*x + 4*x - 207, -3*t = -4*x + u. Let q = t - -237. List the prime factors of q.
2, 3, 11
Suppose 0 = 5*d + 107 + 978. Let y = -472 + 326. Let t = y - d. What are the prime factors of t?
71
Let t = -8393 - -9544. List the prime factors of t.
1151
Let q(g) = 9*g**2 + 8*g - 27. Suppose -m - 3*w + 18 = w, 2*w = 2*m - 6. What are the prime factors of q(m)?
3, 5, 23
Let c(g) be the first derivative of -g**4/4 - 3*g**3 - 9*g**2/2 - 3*g - 8. Let a be c(-10). Suppose 2*s + a = 3*s. List the prime factors of s.
11, 17
Let t be (-1410)/(-27) - -6*2/(-54). Suppose 53*r - 353 = t*r. What are the prime factors of r?
353
Let d be 3/((-23)/(-7521)*1/1). Let n = -29 + d. What are the prime factors of n?
2, 7, 17
What are the prime factors of 1162/(-249)*(-2922)/4?
7, 487
Let w be (-10)/6*(2 - (-65)/5). Let j = w + 29. Suppose -q + t + 4 = 0, 4*q - 5*q = j*t + 6. List the prime factors of q.
2
Suppose 1239 + 756 = 15*v. Suppose 140*d - 2240 = v*d. List the prime factors of d.
2, 5
Suppose 5*r - 12935 = 5*j, r - 63 - 2536 = 5*j. What are the prime factors of r?
2, 17, 19
Suppose -2*i - 5*d + 29 = 0, 18 - 3 = 3*d. Suppose -i*a + 4*n = -958, 3*a + 0*n = 2*n + 1445. List the prime factors of a.
3, 7, 23
Let w(t) = t**3 - t**2 - 5. Let g be w(2). Let n be (4/(-26))/g - 2/13. Suppose -c + 48 = 3*j, n = 3*c + 2*j - 6*j - 144. List the prime factors of c.
2, 3
Let j(w) = -40*w**3 + 4*w**2 - 9*w + 22. List the prime factors of j(-6).
2, 5, 443
Suppose 6904*c - 6909*c + 193492 = 2*h, -290288 = -3*h + 5*c. List the prime factors of h.
2, 3, 11, 733
Let n(l) = 360*l**2 + 6*l + 3. Suppose -4*m + 1 = w + 7, 2*m - 4 = 3*w. What are the prime factors of n(m)?
3, 7, 17
Suppose -y - 2*a + 23203 = -24962, 2*a = 12. List the prime factors of y.
3, 7, 2293
Let r(q) = -5 - 3*q - q - 2. Let f = 2428 + -2441. What are the prime factors of r(f)?
3, 5
Let o be (20/(-50))/(298/100 + -3). Suppose -o*r + 8670 = 10*r. What are the prime factors of r?
17
Suppose -16*q + 18*q - 5017 = -h, -4*q = 3*h - 10033. Suppose 15*v = 1241 + q. What are the prime factors of v?
2, 5
Let n(r) = 160*r - 1710. What are the prime factors of n(25)?
2, 5, 229
What are the prime factors of 5/(-2)*(-304)/(-380)*-2984?
2, 373
Let r = 178 + -87. List the prime factors of r + (-11)/(33/18).
5, 17
Let o be -7 + (0 - (-3 + -561)). Let w = o + -257. List the prime factors of w.
2, 3, 5
Let n(o) be the second derivative of -o**4/12 + o**2/2 + 17*o. Let x be n(1). Suppose x = -6*q + 880 - 184. What are the prime factors of q?
2, 29
Let b(t) = 431*t + 5811. What are the prime factors of b(-13)?
2, 13
Suppose -2*a = 3*c - 20, 2*c - 2*a - 28 = -c. Suppose -1412 = -c*x + 196. What are the prime factors of x?
3, 67
Suppose -3 = a, -5*g + 11736 = 5*a + 2391. What are the prime factors of g?
2, 3, 13
Let a = 11 + -8. Suppose 14 = -a*y + 20. Suppose y*c = -4*c + 522. What are the prime factors of c?
3, 29
Let i be 2/10 + (6/(-5) - -2). List the prime factors of (-18 + 49)*i/(3 + -2).
31
List the prime factors of (-1348624)/(-186) - (-2 - (-24)/9).
2, 5, 29
Suppose -34702 + 376 = -x + m, -3*x + m = -102978. List the prime factors of x.
2, 3, 1907
Suppose 741 = 6*c + 723. Suppose -4*n + c*m = -588, -3*n + 128 = 5*m - 342. List the prime factors of n.
2, 3, 5
Suppose -3*w = 5*f - 48278, 4*f - 11*w - 38652 = -6*w. List the prime factors of f.
2, 11, 439
Suppose -126 = -5*t + 109. Let p = t + -43. Suppose -2*d + 30 = 2*n - p, -4*d + n = -83. What are the prime factors of d?
2, 5
Let i(d) be the first derivative of d**3/3 + 5*d**2/2 - 36*d + 11. Let q be i(8). Suppose 4*m - 88 = -4*v + q, -4*m = 0. List the prime factors of v.
3, 13
Let j = 14609 + 2492. What are the prime factors of j?
7, 349
What are the prime factors of ((-2)/(-4))/(36/(-1200))*-138?
2, 5, 23
Suppose -m - 2*t = 90 - 10, 2*m - 5*t + 124 = 0. Let g = 109 + m. List the prime factors of g.
37
Let r = -28538 - -57887. What are the prime factors of r?
3, 1087
Let v(l) be the first derivative of 2*l**3/3 - 2*l - 23. Let f be v(2). Suppose 8*h - 108 = f*h. What are the prime factors of h?
2, 3
Let j = -176 - -118. Let w(v) = 102*v**2. Let a be w(-1). Let r = j + a. List the prime factors of r.
2, 11
Let z(i) = 21*i - 84. Let s(c) = -5*c + 21. Let g(l) = 22*s(l) + 6*z(l). Let y be g(12). Suppose 3*k = 2*k + y. List the prime factors of k.
2, 3, 5
Suppose 9*f - 32903 = -7073. Suppose 12434 - f = 12*q. What are the prime factors of q?
797
List the prime factors of (461 + 2)/((-42)/336)*3/(-2).
2, 3, 463
Suppose -j + 69249 = -3*y, 0 = 23*y - 26*y + 21. List the prime factors of j.
2, 3, 5, 2309
Suppose -61*b = -53*b - 24. Suppose 5*m + 5*v + 1712 = 7*m, -b*m = -v - 2594. List the prime factors of m.
2, 433
Let p = -6833 - -8855. What are the prime factors of p?
2, 3, 337
Let v(m) = -13014*m - 6243. List the prime factors of v(-4).
3, 15271
Suppose 19*s = 15*s + 2*a + 10, -4*s + 13 = -5*a. List the prime factors of ((-224)/s)/(-8)*60/14.
2, 3, 5
Suppose 430*a = 428*a - 4*y + 64968, -a - 3*y = -32485. List the prime factors of a.
2, 109, 149
Let j(f) = -f**2 - 8*f + 2. Let c be j(-9). List the prime factors of c + 1 - (-12 + -342).
2, 3, 29
Let p = -5546 + 5591. List the prime factors of p.
3, 5
Let g = 118566 - 61090. What are the prime factors of g?
2, 14369
What are the prime factors of (-592)/6*(-749 - | {
"pile_set_name": "DM Mathematics"
} |
ose j + s = -0*s + 7, -j + 13 = -s. Suppose 0 = -v + 6*v - j. Let k(m) = -m**v - m + m. Let r(n) = -2*n. Calculate r(k(z)).
2*z**2
Let j(u) = 6*u**2. Let o(s) = -19*s. What is o(j(n))?
-114*n**2
Let k(b) = -b. Let o(f) = 1 + 0*f - 16*f - 1. Determine k(o(w)).
16*w
Let o(d) = 3*d**2 + 0*d + 0*d. Let f(i) = -i + 1. Let r be f(-1). Let c(q) = -6*q - r*q**2 - q + 7*q. Calculate c(o(n)).
-18*n**4
Let g(p) be the second derivative of p**4/2 - 3*p. Let f(h) = -2*h**2. Give g(f(u)).
24*u**4
Let a = -2 - -4. Let p(l) = -3*l**a + l - l. Let c(d) = -7*d**2 + 2*d**2 + 4*d**2. Determine c(p(b)).
-9*b**4
Let l(u) = 2*u. Let y(b) = 65 - 65 - 6*b**2. Give y(l(w)).
-24*w**2
Let r(x) = -x. Let g(w) = -w**2 - 10*w - 12. Let p be g(-8). Suppose -4 = -4*m + p. Let d(h) = 2*h**m - 2*h + 2*h. Determine r(d(q)).
-2*q**2
Let p(d) = -885*d. Let w(l) = 15*l**2. What is w(p(i))?
11748375*i**2
Let h(c) = c. Let x(n) = 77*n**2. Calculate h(x(d)).
77*d**2
Let f(m) = -109*m + 1. Let v(s) = -11*s**2. What is f(v(c))?
1199*c**2 + 1
Let h(g) = -13*g**2 + 2. Let j(t) = -7*t. Give j(h(f)).
91*f**2 - 14
Let b(h) = 708*h. Let n(a) = 32*a. Calculate n(b(g)).
22656*g
Let u(t) = -7*t + 9. Suppose -5*a + 0 = -5. Let p(x) = -2 + 3*x - 3 + a. Let s(n) = 9*p(n) + 4*u(n). Let k(d) = -d. Determine k(s(r)).
r
Let h(c) = 396*c - 396*c + 2*c**2. Let v(y) = -46*y**2. Give v(h(s)).
-184*s**4
Let y(i) be the second derivative of 1/12*i**4 + 0*i**3 + 0*i**2 + i + 0. Let b(r) be the third derivative of r**4/6 - 2*r**2 - 5. Give b(y(c)).
4*c**2
Let x(i) = 4*i**2. Let q(n) = -n**3 + 3*n**2 + 3. Let c be q(3). Let j be (-38)/c*54/(-12). Let l(w) = -57 + j - 2*w. Give l(x(z)).
-8*z**2
Let l(s) be the first derivative of 5*s**3/3 + 22. Let b(t) = -6*t**2. Give l(b(q)).
180*q**4
Let f(j) = 2*j. Let w(s) be the third derivative of -11*s**5/60 + 9*s**2. Calculate f(w(m)).
-22*m**2
Let t(z) = -2. Let o(p) = -p**2 - 9. Let f(h) = -2*o(h) + 9*t(h). Let s(w) be the third derivative of -w**5/15 - 2*w**2. Calculate f(s(c)).
32*c**4
Let f(j) = -8*j. Let b(w) be the third derivative of -w**5/20 + 10*w**2. Determine f(b(s)).
24*s**2
Let z(a) = 3*a. Let m(s) = -8*s + 5. Let p(g) = 9*g - 6. Let n(o) = -6*m(o) - 5*p(o). Give z(n(h)).
9*h
Let m(r) = 8*r**2. Let h(v) = 6*v - 12. What is m(h(a))?
288*a**2 - 1152*a + 1152
Let n(u) = -26*u**2. Let i(g) = 3*g - 3*g + 4*g - 5*g. Determine i(n(c)).
26*c**2
Let k(m) = -23*m**2. Let a(w) = -15*w**2. Determine k(a(z)).
-5175*z**4
Suppose h = 2*h - 2. Let g(k) = 79*k**2 + 2 - 80*k**2 - h. Let r(z) = -2*z**2. Calculate g(r(o)).
-4*o**4
Let u(d) = -2*d. Let y(m) = -216*m + 2. Give y(u(k)).
432*k + 2
Let c(y) = -1. Let q(n) = 2*n - 8. Let b(u) = 8*c(u) - q(u). Let h(w) = -7*w**2. Calculate h(b(g)).
-28*g**2
Let q(x) = 2*x. Let k(z) = 8*z**2. Calculate k(q(c)).
32*c**2
Let v(x) = x. Let f(s) = -16*s**2. Calculate f(v(i)).
-16*i**2
Let a(f) = 20*f. Let s(z) = -116*z. What is s(a(j))?
-2320*j
Let d(h) = 13*h**2 - 4*h + 4. Let f(i) = 12*i**2 - 5*i + 5. Let s be 3 - (0 - -1 - -6). Let b(o) = s*f(o) + 5*d(o). Let p(u) = 2*u**2. Give p(b(c)).
578*c**4
Suppose -4*s + 0*s = -192. Let i(p) = p + 48 - s. Let n(m) = -3*m. Determine i(n(k)).
-3*k
Let c(n) be the second derivative of 0 - 3*n + 0*n**2 + 4/3*n**3. Let x(v) = -2*v**2. Give c(x(j)).
-16*j**2
Let c(n) = -19*n**2 - 4*n. Let d(g) = g**2 - g. Suppose x - 6*x = 20. Let z(l) = x*d(l) + c(l). Let a(m) = m. What is a(z(f))?
-23*f**2
Let v(k) = -2*k**2. Let x(q) be the third derivative of q**5/20 - 5*q**4/24 + 40*q**2 - q. Determine v(x(l)).
-18*l**4 + 60*l**3 - 50*l**2
Let v(g) = -g**2. Let t(h) be the first derivative of 0*h - 3 + 1/2*h**2. Give v(t(x)).
-x**2
Let r(d) = d. Let p(o) = -5*o**2 - 3*o + 10. Let b(f) = -9*f**2 - 5*f + 20. Let z(t) = 3*b(t) - 5*p(t). Calculate z(r(u)).
-2*u**2 + 10
Let u(o) = -321*o**2. Let h(t) = -2*t**2. Give h(u(c)).
-206082*c**4
Let g(c) = -88*c - 6. Let f(d) = 8*d. Calculate g(f(h)).
-704*h - 6
Let c(d) = 2659*d**2. Let q(m) = -3*m**2. What is q(c(j))?
-21210843*j**4
Let k(i) = -1488*i. Let s(v) = -2*v**2. Give k(s(g)).
2976*g**2
Let q(u) = -u**2 + 10*u. Let i = 10 - 20. Let s(b) = -2*b. Let k(z) = i*s(z) - 2*q(z). Let y(l) = 16*l**2. Give k(y(w)).
512*w**4
Let x(m) = -2*m**2 + 45. Let c(r) = 27*r - 11*r - 12*r - 5*r. What is c(x(q))?
2*q**2 - 45
Let y(f) be the second derivative of -f**7/1260 + 3*f**4/4 + 2*f. Let z(p) be the third derivative of y(p). Let x(r) = -7*r**2. Determine z(x(j)).
-98*j**4
Let h(j) = 14*j + 7. Let g be (-3)/(4 - 1) + 8. Let z(r) = -5*r - 2. Let n(b) = g*z(b) + 2*h(b). Let s(f) = f**2. Determine s(n(c)).
49*c**2
Let v(f) = -3*f. Let n(o) be the second derivative of -o**5/30 - o**3/3 - 4*o. Let t(y) be the second derivative of n(y). Calculate v(t(c)).
12*c
Let h(d) be the third derivative of -5*d**4/24 + 16*d**2. Let u(m) = 4*m**2. Calculate u(h(p)).
100*p**2
Let l(s) = -6*s**2. Let x(u) = 2*u + 12. Suppose 0 = -h - 0 + 12. Let q(f) = 1. Let v(p) = h*q(p) - x(p). Determine l(v(i)).
-24*i**2
Let x be 12/5 - (4 + (-69)/15). Let l(o) be the first derivative of 0*o**2 - 2/3*o**x + 0*o + 2. Let y(a) = -a. What is y(l(v))?
2*v**2
Let g(s) = -5*s. Let l(p) = 260*p + 1. What is g(l(n))?
-1300*n - 5
Let i(r) = r. Let g(h) = -14*h. Let m(t) = 6*g(t) + 91*i(t). Let v(y) = -3*y**2. Calculate m(v(u)).
-21*u**2
Let i(z) = 4*z - 5. Let m(b) = b - 1. Let k(u) = 3*i(u) - 15*m(u). Let x(l) be the third derivative of l**4/12 + 32*l**2 + 2. Determine x(k(g)).
-6*g
Let f(i) = 13*i**2 + 11*i. Let v(q) = -7*q**2 - 6*q. Let a(p) = 6*f(p) + 11*v(p). Let s(k) = 10*k**2. Determine s(a(u)).
10*u**4
Let t(c) = -81*c**2. Let s(k) = 42*k**2 + 1. Calculate s(t(f)).
275562*f**4 + 1
Let g(h) = 5*h. Let o(l) be the second derivative of l**5/60 + l**3/3 + l. Let r(k) be the second derivative of o(k). What is g(r(b))?
10*b
Let g(t) = -2*t. Let o(j) = 3*j**2 - 11*j**2 - 15*j**2. What is g(o(f))?
46*f**2
Let a(r) = -7 - 2 - 8*r + 9. Let n(z) = -2*z. What is n(a(p))?
16*p
Let p(y) = -y. Let f(b) = -4*b + 5. Let m be f(-6). Suppose 4*l = -3*w + 4*w + 16, 0 = -3*l + 5*w + m. Let s(o) = -41 - l*o**2 + 41. What is s(p(q))?
-3*q**2
Let n(s) = 2*s. Let k(v) = -1. Let h(p) = 7*p**2 - 4. Let j = 4 + -3. Let q(f) = j*h(f) - 4*k(f). Determine n(q(a)).
14*a**2
Let b(l) = -l**2. Let r(c) be the third derivative of -5*c**4/12 - 5*c**2. Give r(b(k)).
10*k**2
Let x(b) = 6*b**2. Let y(c) = 391*c. Give x(y(r)).
917286*r**2
Let r(t) = 9*t - 7*t + t. Let w(z) = -z. Give r(w(k)).
-3*k
Let d(n) = 2*n**2 + 2. Let i(k) = -1. Let l(z) = d(z) + 2*i(z). Let q(o) = 2*o**2 - 13. Give l(q(f)).
8*f**4 - 104*f**2 + 338
Let y(n) = -87*n**2. Let o(h) = 3*h**2. Calculate y(o(g)).
-783*g**4
Let r(x) = -2*x + 62. Let s(y) = -3*y + 93. Let f(p) = 7*r(p) - 5*s(p). Let z(a) = -a. Calculate z(f(q)).
-q + 31
Let o(x) = -8*x. Let k(g) be the third derivative of -g**5/20 + 30*g**2. Determine k(o(s)).
-192*s**2
Let t(h) = -2*h**2. Let a(w) be the third derivative of -w**4/24 + 2*w**2. Let b(j) = -3*j. Let o(i) = -3*a(i) - b(i). Give t(o(m)).
-72*m**2
Let w(b) be the second derivative of -1/2*b**3 + 0*b**2 - 2*b + 0. Let h(u) = 2*u. Calculate w(h(k)).
-6*k
Let p(u) = -9*u**2 + u + 1. Let m(f) = -f**2 + f + 1. Let h(o) = 2*m(o) - 2*p(o). Let j(n) = -n. Determine j(h(v)).
-16*v**2
Let l(i) = 2*i. Let y(w) = -w + 7. Let u(b) be the third derivative of b**4/24 - 5*b**3/6 + 4*b**2. Let p(r) = -7*u(r) - 5*y(r). What is l(p(z))?
-4*z
Let y(h) = -5*h. Let z(s) = -3*s**2 + 18*s. Determine y(z(o)).
15*o**2 - 90*o
Let p(i) = 145*i. Let z(x) = -5*x + 8. Give p(z(h)).
-725*h + 1160
Let u(t) = -t. Let g(o) = 455*o. Determine u(g(a)).
-455*a
Let b(u) = 3*u**2. Let p(h) = -2607 - 18*h**2 + 2607. Determine p(b(v)).
-162*v**4
Let t(z) = -13*z**2. Let i(b) = -16*b. Determine i(t(y)).
208*y**2
Let g(m) = 3*m + 5. Let a(z) = -4*z - 6. Let h(v) = 5*a(v) + 6*g(v). Let x(r) = -41*r. Calculate x(h(i)).
82*i
Let u(c) = -3*c**2 - 5*c + 5. Let y(b) = -2*b**2 - 3*b + 3. Let f(s) = 3*u(s) - 5*y(s). Let t(d) = 0*d**2 - 3*d**2 + 2*d**2 - 5*d**2. Calculate f(t(i)).
36*i**4
Let w(b) be the first derivative of -5*b**3/3 + 3. Let y(k) = 5*k + 0*k - 3*k. Give w(y(f)).
-20*f**2
Let p(c) = 129*c**2. Let a(s) = -4*s**2. What is a(p(w))?
-66564*w**4
Let a(o) = -2*o**2. Let v(c) = -152*c. What is a(v(h | {
"pile_set_name": "DM Mathematics"
} |
factors of 13296365.
5, 31, 109, 787
What are the prime factors of 1052483?
379, 2777
List the prime factors of 141238.
2, 70619
What are the prime factors of 171142?
2, 85571
What are the prime factors of 345765?
3, 5, 7, 37, 89
List the prime factors of 735546.
2, 3, 7, 83, 211
What are the prime factors of 2276473?
71, 32063
List the prime factors of 451397.
451397
List the prime factors of 6138437.
6138437
What are the prime factors of 420079?
11, 38189
What are the prime factors of 1365283?
19, 181, 397
What are the prime factors of 742336?
2, 7, 1657
What are the prime factors of 176801?
23, 7687
List the prime factors of 822003.
3, 7, 13, 3011
What are the prime factors of 5131523?
31, 165533
What are the prime factors of 384950?
2, 5, 7699
What are the prime factors of 142856?
2, 7, 2551
What are the prime factors of 194694?
2, 3, 37, 877
What are the prime factors of 755595?
3, 5, 29, 193
What are the prime factors of 124681?
41, 3041
What are the prime factors of 6053466?
2, 3, 1008911
List the prime factors of 138996.
2, 3, 11, 13
What are the prime factors of 117983?
127, 929
List the prime factors of 9254592.
2, 3, 16067
What are the prime factors of 2517209?
163, 15443
List the prime factors of 2076858.
2, 3, 7, 53, 311
What are the prime factors of 11832916?
2, 107, 27647
What are the prime factors of 19190109?
3, 6396703
List the prime factors of 198064.
2, 12379
What are the prime factors of 2119441?
17, 124673
What are the prime factors of 662000?
2, 5, 331
What are the prime factors of 737209?
11, 29, 2311
List the prime factors of 33361917.
3, 89, 124951
List the prime factors of 5959938.
2, 3, 993323
What are the prime factors of 429456?
2, 3, 23, 389
What are the prime factors of 694784?
2, 23, 59
What are the prime factors of 742795?
5, 53, 2803
List the prime factors of 245908.
2, 13, 4729
What are the prime factors of 1297349?
1297349
List the prime factors of 1055356.
2, 439, 601
What are the prime factors of 729272?
2, 91159
List the prime factors of 1720586.
2, 7, 97, 181
What are the prime factors of 569042?
2, 284521
What are the prime factors of 6404028?
2, 3, 23, 23203
What are the prime factors of 57942?
2, 3, 29, 37
List the prime factors of 354177.
3, 23, 29, 59
List the prime factors of 20439809.
13, 29, 54217
List the prime factors of 183545.
5, 36709
List the prime factors of 1880043.
3, 11, 23, 2477
What are the prime factors of 178724?
2, 7, 13, 491
What are the prime factors of 529088?
2, 7, 1181
List the prime factors of 126112.
2, 7, 563
List the prime factors of 4454560.
2, 5, 11, 2531
List the prime factors of 444496.
2, 13, 2137
What are the prime factors of 639897?
3, 17, 12547
List the prime factors of 1556058.
2, 3, 7, 37049
What are the prime factors of 68184?
2, 3, 947
What are the prime factors of 640078?
2, 320039
List the prime factors of 6634685.
5, 43, 30859
List the prime factors of 131148.
2, 3, 3643
What are the prime factors of 2267845?
5, 453569
List the prime factors of 1724849.
7, 35201
What are the prime factors of 191534?
2, 7, 13681
What are the prime factors of 23962216?
2, 71, 42187
What are the prime factors of 202545?
3, 5, 7, 643
List the prime factors of 789720.
2, 3, 5, 6581
List the prime factors of 849662.
2, 11, 3511
List the prime factors of 8847177.
3, 2949059
What are the prime factors of 6271171?
6271171
What are the prime factors of 9566719?
9566719
What are the prime factors of 70633?
23, 37, 83
List the prime factors of 558953.
41, 13633
List the prime factors of 13195507.
13, 1015039
List the prime factors of 112349.
112349
What are the prime factors of 9839706?
2, 3, 37, 127, 349
What are the prime factors of 64059?
3, 131, 163
List the prime factors of 71019.
3, 13, 607
What are the prime factors of 480360?
2, 3, 5, 4003
List the prime factors of 548133.
3, 182711
List the prime factors of 208553.
208553
List the prime factors of 1043131.
1043131
List the prime factors of 1634563.
7, 233509
What are the prime factors of 1127226?
2, 3, 187871
What are the prime factors of 1598266?
2, 823, 971
What are the prime factors of 8630822?
2, 4315411
What are the prime factors of 47979?
3, 1777
What are the prime factors of 799827?
3, 7, 5441
List the prime factors of 73993.
61, 1213
What are the prime factors of 818029?
269, 3041
What are the prime factors of 1514645?
5, 11, 27539
List the prime factors of 22096452.
2, 3, 7, 37579
List the prime factors of 210746.
2, 105373
What are the prime factors of 4099651?
241, 17011
List the prime factors of 466127.
19, 24533
What are the prime factors of 12035819?
617, 19507
List the prime factors of 2940013.
2940013
What are the prime factors of 8331328?
2, 349, 373
List the prime factors of 69052.
2, 61, 283
What are the prime factors of 1241129?
47, 26407
What are the prime factors of 7121199?
3, 173, 13721
What are the prime factors of 491357?
491357
What are the prime factors of 215195?
5, 193, 223
What are the prime factors of 10589774?
2, 13, 407299
What are the prime factors of 29235588?
2, 3, 83, 149, 197
What are the prime factors of 1106316?
2, 3, 79, 389
List the prime factors of 64567.
64567
What are the prime factors of 1511589?
3, 17, 107, 277
List the prime factors of 1204899.
3, 193, 2081
What are the prime factors of 6789972?
2, 3, 7, 80833
List the prime factors of 221145.
3, 5, 23, 641
List the prime factors of 1337015.
5, 267403
What are the prime factors of 1873360?
2, 5, 23417
What are the prime factors of 12446?
2, 7, 127
List the prime factors of 15928953.
3, 89, 59659
What are the prime factors of 18536?
2, 7, 331
What are the prime factors of 276544?
2, 29, 149
List the prime factors of 2661456.
2, 3, 7, 89
List the prime factors of 3135744.
2, 3, 1361
List the prime factors of 630533.
59, 10687
List the prime factors of 374683.
374683
What are the prime factors of 1801370?
2, 5, 180137
What are the prime factors of 1252163?
11, 67, 1699
List the prime factors of 292134.
2, 3, 181, 269
What are the prime factors of 4039935?
3, 5, 41, 6569
What are the prime factors of 102621?
3, 79, 433
What are the prime factors of 212634?
2, 3, 11813
What are the prime factors of 219393?
3, 19, 1283
List the prime factors of 242610.
2, 3, 5, 8087
What are the prime factors of 8132387?
1399, 5813
List the prime factors of 14730756.
2, 3, 1227563
What are the prime factors of 1101910?
2, 5, 101, 1091
List the prime factors of 86401.
7, 12343
List the prime factors of 6529333.
1303, 5011
What are the prime factors of 14699116?
2, 23, 159773
What are the prime factors of 154882?
2, 7, 13, 23, 37
What are the prime factors of 1936028?
2, 17, 71, 401
List the prime factors of 642207.
3, 214069
List the prime factors of 658532.
2, 7, 29, 811
What are the prime factors of 19770185?
5, 83, 47639
List the prime factors of 33825142.
2, 13, 1300967
List the prime factors of 157646.
2, 78823
List the prime factors of 1629577.
31, 52567
What are the prime factors of 3990377?
1087, 3671
List the prime factors of 1364751.
3, 19, 23, 347
What are the prime factors of 10952581?
547, 20023
What are the prime factors of 4102263?
3, 11, 3767
What are the prime factors of 2158935?
3, 5, 163, 883
List the prime factors of 157909.
19, 8311
List the prime factors of 297420.
2, 3, 5, 4957
List the prime factors of 3531916.
2, 882979
List the prime factors of 1700252.
2, 23, 18481
List the prime factors of 108510.
2, 3, 5, 3617
List the prime factors of 239384.
2, 23, 1301
What are the prime factors of 5517964?
2, 1379491
List the prime factors of 12660021.
3, 11, 41, 3119
What are the prime factors of 7074308?
2, 19, 93083
What are the prime factors of 2731740?
2, 3, 5, 11, 4139
List the prime factors of 19893.
3, 19, 349
List the prime factors of 16318824.
2, 3, 679951
List the prime factors of 1018993.
1018993
List the prime factors of 939905.
5, 317, 593
What are the prime factors of 7450931?
7450931
List the prime factors of 3968597.
3968597
List the prime factors of 769505.
5, 11, 17, 823
List the prime factors of 199323.
3, 22147
List the prime factors of 20435841.
3, 509, 1487
List the prime factors of 5583764.
2, 449, 3109
What are the prime factors of 828688?
2, 7, 151
What are the prime factors of 8068?
2, 2017
What are the | {
"pile_set_name": "DM Mathematics"
} |
fourth smallest value? (a) -1/4 (b) -5 (c) g (d) -2/3
a
Let j be ((-9)/(-6)*(-20)/6)/(-1). Let n be (2/4)/(j/(-2)). Let m = -23 - -18. Which is the third biggest value? (a) m (b) -1/3 (c) -0.5 (d) n
c
Let a = 2 - 1.5. Let b = 27517 - 27516.7. What is the second biggest value in 2, b, 4, a?
2
Let c = 5.15 + -5.05. Suppose 0*o - 8 = 4*o. Let q be -4 + (o + 4)*3. What is the second biggest value in -3/7, q, c?
c
Let d be (-4 - 64/(-17))*1. Let x = -71/85 - d. Let p = -21/2 + 185/18. Which is the third biggest value? (a) x (b) p (c) -0.7
c
Let c be 189/(-21) + 1/(-1). Let o = -287/90 - -33/10. What is the biggest value in o, c, -0.8?
o
Let f = 7.5 - 5.4. Let l = 1.4 - f. Let v be -5 + 1 - (-690)/165. What is the second smallest value in l, 1/3, v?
v
Let y = -22.0335 - -22.05. What is the smallest value in 4/3, 4, 2, y?
y
Let q = 0.61 + -0.6. Let z = 0.04 - -55.96. Let l = 61 - z. Which is the third biggest value? (a) -2/5 (b) l (c) q
a
Let k be 3 + 20/(-25)*-10. Suppose 28 - k = -3*j - 4*q, 5*j = -2*q - 19. Which is the biggest value? (a) 0 (b) -1 (c) j (d) 0.3
d
Let y = 696 + -698. What is the fourth smallest value in y, 1/5, -61/10, 1?
1
Let d = -7 + 7.01. Let t = 0.49 + d. What is the biggest value in -0.09, 4, 0, t?
4
Let s be 162/420 + (-4)/14. Suppose -4 = -4*l - 4*v, -3*l - 33 = -l - 5*v. Let x be 10 + 3/(6/l). Which is the smallest value? (a) s (b) x (c) 1/7
a
Let i = -0.174 + -0.026. Let h be 3/(-6) - (-59)/2. Let g = -34 + h. What is the second biggest value in g, -4, i?
-4
Let l be (-23)/(-207)*(-81)/(-6). What is the third biggest value in -5, 0.11, 0, -2/9, l?
0
Let g = 6.08 - 6. Let s = g + 0.12. Let u = -35 - -67/2. Which is the biggest value? (a) 10 (b) s (c) -2/5 (d) u
a
Let m = 229.8 - 229.8. What is the third biggest value in 8, 4, m?
m
Let f = -2.709 - -3.709. What is the third smallest value in 1802, -3, f?
1802
Let p = -0.16 + 0.08. Let h = 10003 - 10000. Which is the third biggest value? (a) -1 (b) h (c) p
a
Let l = -2286 + 2285.9314. Which is the biggest value? (a) l (b) 0.2 (c) -2
b
Let z = -0.94 - -2.84. Let i = 1.8 - z. Let m be (-4*(-5)/(-50))/((-16)/10). What is the biggest value in m, 2/5, i, -2/3?
2/5
Let w = 461 + -459. Let o = -2 + -3. What is the second biggest value in -7, 1, o, w?
1
Let v be 1*(-16)/6*204/272 - -3. Let s be (-3)/6 - (-10)/(-8). What is the third biggest value in -2/3, v, s, -3/4?
-3/4
Let w be ((-136)/126)/(2/(-24)). Let z be 1200/(-360)*(1/3 - (-52)/15). Let t = z + w. Which is the third smallest value? (a) -6 (b) 1/7 (c) t
c
Let a = 0.0223 - 24.0223. Let w = -1.7 - 24.3. Let v = w - a. What is the smallest value in -4, 0.4, v, -1?
-4
Suppose -4*p = -3 - 1. Let h be (p/(-2) - 2) + 3. Let r = -4265 - -4264.9. What is the biggest value in -18, h, r?
h
Let r = -3.142 + 3.152. Which is the smallest value? (a) 0.1 (b) -2 (c) r (d) -0.08 (e) 0.5
b
Suppose -18 = -u - 2*m, u = m + 7 - 4. Suppose -4*t + u*t + 16 = 0. Let r be (-3)/t - 650/760. What is the third biggest value in 5, 0.14, r, -2?
r
Let t = -0.97 + 0.909. Let x = 0.039 - t. Let o = 5.9 - 0.9. Which is the biggest value? (a) -1/7 (b) 4 (c) x (d) o
d
Let b = -1.0466 + 0.0466. What is the third smallest value in -4, 223, b?
223
Let y = 0.31389 + -1.41389. What is the third biggest value in y, -0.074, 0.1, 0?
-0.074
Let f = 247738 + -3222763/13. Let k = -167 - f. Suppose -143 = 4*g - 6*s - 203, -4*s - 40 = -3*g. Which is the biggest value? (a) g (b) -1/5 (c) 5 (d) k
c
Let w(k) = 102*k - 517. Let t be w(5). Which is the second biggest value? (a) -3 (b) 3 (c) 15 (d) t (e) 1/7
b
Let v = -512 + 253. Let p = v + 259. Which is the third biggest value? (a) 0.1 (b) p (c) 2
b
Let u = 584.1 - 580.1. Which is the second biggest value? (a) 0.5 (b) 0 (c) -1.1 (d) u
a
Suppose -92 = 43*j + 208 - 85. Suppose 3*f + f + 6 = 2*p, -2*p + 12 = 2*f. What is the third smallest value in -8, j, p?
p
Let h = 599746/23 + -26076. Which is the fourth smallest value? (a) 1/31 (b) 2/7 (c) h (d) 1/30
b
Let g = -31 + 400/13. Let s = -25/52 - g. Let k be ((-1)/14)/(8/16). What is the smallest value in k, -0.8, s?
-0.8
Let f = 1251 + -1251.5. Which is the biggest value? (a) 0.1 (b) -1.3 (c) f
a
Let y = -13 - -9. Let u = -463.03 - 6.97. Let r = -465 - u. Which is the smallest value? (a) -2 (b) r (c) y
c
Let m be (5 - 6)*(-1 + -1) + 0. Let u be -5*(-2 - m)/2. Let x be (2/(-5))/(32/u + -1). Which is the smallest value? (a) x (b) 2/11 (c) 5
a
Let t = -1049.05 - -1049. Which is the third biggest value? (a) -2 (b) -5 (c) t
b
Let n = 718 - 720. Which is the smallest value? (a) 0.12 (b) 1.3 (c) n
c
Let p = 0.8427 + -0.6717. Which is the second smallest value? (a) 0 (b) -0.2 (c) -2/5 (d) -4 (e) p
c
Let j = -85 - -57. Let o = 38 + j. Suppose -o*c - 27 = -7*c. What is the fourth biggest value in c, -0.2, -2, -5/6?
c
Let r = -166.73 + 168. Let s = -0.77 + r. Suppose -z = -4*z - 6. Which is the second biggest value? (a) 0.01 (b) s (c) -1/2 (d) z
a
Let x = -0.0664 - -30.8664. Let s = x - 31. What is the biggest value in -5, 0.05, s, 0.1?
0.1
Let y = -22.77 - -23.17. What is the biggest value in -4, y, -1/2, -0.1?
y
Let p be (2/4)/(1/(-14)). Let o = -179.26 + 0.26. Let u = 184 + o. Which is the second biggest value? (a) u (b) p (c) 0.1
c
Let k = -28719 + 28718.13. What is the third smallest value in -1/17, -0.3, k?
-1/17
Let w = 5.08 + -0.08. Let o = 0.27939 - 3.27939. Let q = -1/21 - -26/105. Which is the fourth biggest value? (a) q (b) o (c) w (d) -0.06
b
Let q = -17242 + 17245. Which is the third biggest value? (a) q (b) 4 (c) -0.3 (d) -2/17
d
Let y(t) = -2*t + 1. Let o be y(1). Let a = 114 - 800/7. What is the biggest value in a, 4, o?
4
Let c be 5542/15 + 17/85. Let s = c - 371. What is the second smallest value in s, 0.6, -1?
-1
Let i be (4/(-5))/((-4)/20). Suppose 6*t - 8*t = -810. Let h be 28/35 + 3/(t/(-78)). Which is the third biggest value? (a) h (b) 0.1 (c) i
b
Let o = 79456.0074 + -79548. Let s = o - 0.0074. What is the second smallest value in s, -1, -2?
-2
Let l = -85837/13 + 6603. Let h = 6.4 + -6. Let x = 11 + -13. What is the fourth smallest value in l, x, h, -0.1?
h
Let x be (28/30)/(32/(-48)). Which is the third biggest value? (a) -1 (b) x (c) 0 (d) -12 (e) -2/13
a
Let z = -36328 + 36332. Let s = 0.1 + 7.9. Which is the third biggest value? (a) z (b) s (c) 0.2
c
Let n = 1890.282 - 1888. Let k = 0.282 - n. What is the second smallest value in k, -1, 1/2, -0.5?
-1
Suppose 64 = 7*q + 21 + 15. Let u = 9/43 + -167/387. What is the smallest value in q, -3/2, u?
-3/2
Let m be 161/65 + (-38)/95. Let x = 379/195 - m. What is the third biggest value in -2, x, 1, -1/5?
-1/5
Suppose -669 = 141*n - 144*n. Let l = n - 2008/9. Let y = -3 + 7. Which is the biggest value? (a) l (b) 2/7 (c) y (d) -11
c
Suppose 154*j + 44 = 43 + 155. Which is the biggest value? (a) 0.05 (b) -2/17 (c) j (d) 0 (e) -0.4
c
Let h = -108047 + 650657/6. Let v = 396 - h. Let a = 1 - 1. What is the second biggest value in -0.4, -1, a, v?
a
Suppose -1 - 9 = -5*j. Let l be 5 + -5 - (-68)/(-858). Let p = -4/39 + l. Which is the third biggest value? (a) p (b) j (c) -1 (d) 0.5
a
Let p = 1212.5 - 1216.5. Which is the third smallest value? (a) p (b) -14 (c) -66
a
Let y = 16.54 + -16.63. Which is the fourth biggest value? (a) y (b) -5 (c) -1 (d) 2 (e) -3/5
c
Let k = -0.3 + -1.7. Let o = 1447 + -1447. Which is the second biggest value? (a) k (b) o (c) -5/3 (d) -1/4
d
Let r = -1146303/7 - -163758. Let g = -0.05 + 2.05. Which is the second smallest value? (a) g (b) r (c) 6
a
Let n = 20.481 + 0.219. Let x = n - -68.3. Let k = -89 + x. What is the fourth biggest value in 0.4, 0.1, 0.02, k?
k
Let w(g) = -2*g**2 + 19*g + 60. Let q be w(12). Suppose -3*c - 23 + 98 = q. Let r = 3.5 + -3. What is the third biggest value in c, -1/3, r?
-1/3
Let w = -634 + 633.561. Let k = 0.039 + w. Which is the second smallest value? (a) 1 (b) -3 (c) -7 (d) k
b
Let m = 1225 + -4901/4. Let i be -2 - 0 - 300/(-135). Let d = 5 + -2. What is the third smallest value in m, d, i?
d
Let g = 0.2 + 0.3. Let q = -229.034 + 228. Let i = q - -0.034. Which is the third smallest value? (a) 5 (b) i (c) g
a
Let l = -4 + | {
"pile_set_name": "DM Mathematics"
} |
9. Let v(b) = 46*m(b) + 6*t(b). What is g in v(g) = 0?
-1, 164
Let f(o) = -3*o**3 - 37*o**2 + 10*o - 5. Let v(u) = -4*u**3 - 56*u**2 + 16*u - 8. Let g(k) = 8*f(k) - 5*v(k). What is j in g(j) = 0?
-4, 0
Let t(o) be the third derivative of o**7/280 - 19*o**5/80 - 15*o**4/16 - 7*o**2 + 48*o. Suppose t(d) = 0. What is d?
-3, -2, 0, 5
Suppose 16*b = 14*b + 4. Let o(n) be the first derivative of -100/3*n + 10/3*n**b - 1/9*n**3 - 15. Determine h, given that o(h) = 0.
10
Let m(o) be the second derivative of -5*o**4/12 + 100*o**3 + 1890*o**2 + 19*o - 113. Factor m(n).
-5*(n - 126)*(n + 6)
Let i(a) = 6*a**3 - 80*a**2 - 58*a. Let k(g) = 5*g**3 - 79*g**2 - 60*g. Let y(w) = 6*i(w) - 7*k(w). Suppose y(x) = 0. What is x?
-72, -1, 0
Let p(y) be the first derivative of y**6/15 + 87*y**5/25 - 5*y**4/2 - 53*y**3/3 - 21*y**2/5 + 88*y/5 + 5742. Determine d so that p(d) = 0.
-44, -1, 1/2, 2
Let d(i) = -3*i**2 - 34*i + 1. Let o be d(-11). Solve 2*z**5 - 8*z**3 + 10*z**4 + 4*z + 6*z - 4*z**2 - 4*z**3 - o*z**4 + 6 = 0.
-1, 1, 3
Factor -240*k**3 + 484*k**3 + 108*k - 220*k**3 - 135*k**2 + 3*k**4.
3*k*(k - 3)*(k - 1)*(k + 12)
Let n(q) be the third derivative of -q**7/1680 - q**6/80 - q**5/30 + 17*q**3/2 - 57*q**2. Let z(p) be the first derivative of n(p). Factor z(w).
-w*(w + 1)*(w + 8)/2
Let h(p) = -p**2 - p. Let m(n) = 8*n**2 + 15*n + 12. Suppose 0 = 3*f, -34 - 22 = 4*z - 2*f. Let j(q) = z*h(q) - 2*m(q). Determine k so that j(k) = 0.
-6, -2
Let w be (-13)/(-39)*(-65)/49. Let m = 11/49 - w. Factor m*k**2 + 0 + 8/3*k.
2*k*(k + 4)/3
Let t(j) be the first derivative of 7*j**3 - 15147*j**2/2 + 4326*j + 3617. Factor t(p).
3*(p - 721)*(7*p - 2)
Suppose 184 = 12*o + 4. Let -35*w**4 + o*w + 0*w - 15*w**3 + 19*w**2 + 16*w**2 = 0. What is w?
-1, -3/7, 0, 1
Suppose 32 = 11*t - 12. Suppose w - t = 0, 3*d - 7*d - w + 20 = 0. Solve -2*a**d + 4*a**4 + 14*a**3 - 6*a**3 - a**4 = 0.
-8, 0
Let x(k) = 11*k - 130. Let h be 7/2*768/224. Let z be x(h). Factor 3/5*l**3 + 24/5*l**z + 48/5*l + 0.
3*l*(l + 4)**2/5
Factor 4*q**5 - 49*q**3 - 25*q**4 - 88*q**3 + 25*q**3 - 128*q**2 + 45*q**4.
4*q**2*(q - 4)*(q + 1)*(q + 8)
Let c = -2533 - -1696. Let l = 840 + c. Factor 2/5 - 7/5*b + 3/5*b**l + 2/5*b**2.
(b - 1)*(b + 2)*(3*b - 1)/5
Let d(z) = -z**4 - 175*z**3 - 156*z**2 + 340*z + 8. Let h(r) = 3*r**4 + 350*r**3 + 313*r**2 - 680*r - 14. Let x(q) = -7*d(q) - 4*h(q). Factor x(a).
-5*a*(a - 1)*(a + 2)*(a + 34)
Let y(n) be the second derivative of -n**7/336 - n**6/80 + 9*n**5/160 - 5*n**4/96 + 16*n + 64. Factor y(q).
-q**2*(q - 1)**2*(q + 5)/8
Let 6441*z**2 + 283*z**3 - 2*z**5 + 154*z**4 - 6283*z**2 + 31*z**3 = 0. What is z?
-1, 0, 79
Suppose -223*i - 29*i - 837*i + 2936 = -10132. What is h in -13*h**2 + 49/2*h - i + 1/2*h**3 = 0?
1, 24
Suppose 23 - 17 = 4*y - 2*z, 0 = -5*y + 5*z. Factor -543*m**y - 4*m**4 - 3*m**2 + 1089*m**3 + 8*m**4 + 5*m - 1 - 551*m**3.
(m - 1)**2*(m + 1)*(4*m - 1)
Let 125/3*a - 1/3*a**2 + 254/3 = 0. Calculate a.
-2, 127
Let c = 2607/2 + -7817/6. Factor -8*n + c*n**2 + 40/3.
2*(n - 10)*(n - 2)/3
Let w(c) be the second derivative of -c**9/26460 + c**8/1680 - c**7/294 + c**6/140 + 27*c**4/4 + c - 9. Let r(q) be the third derivative of w(q). Factor r(j).
-4*j*(j - 3)**2*(j - 1)/7
Suppose -34*i + 35*i - 28 = 5*b, 5*i = 5*b + 20. Let l be b/(-5)*(-5 + 64/12). Let -l*n**2 + 32/5*n - 128/5 = 0. What is n?
8
Let k(w) be the first derivative of -w**3 - 171*w**2/2 + 354*w + 958. Factor k(i).
-3*(i - 2)*(i + 59)
Let v(f) be the first derivative of -f**2 + 1/48*f**4 + 0*f - 7/40*f**5 - 11 + 1/6*f**3. Let l(z) be the second derivative of v(z). Factor l(p).
-(3*p - 1)*(7*p + 2)/2
Let w(x) be the third derivative of x**7/15120 + 11*x**6/4320 - x**5/60 - 8*x**4/3 - 13*x**2 + 2*x. Let y(z) be the second derivative of w(z). Factor y(t).
(t - 1)*(t + 12)/6
Let x(g) = 15*g**2 - 9083*g - 9042. Let i(a) = 10*a**2 - 6055*a - 6030. Let k(j) = 8*i(j) - 5*x(j). Solve k(t) = 0 for t.
-1, 606
Suppose 165 = -116*w + 61*w. Let h be 2*((-6 - -2) + (-16)/w). Factor -7/3*s + h - 1/3*s**2.
-(s - 1)*(s + 8)/3
Let k(t) be the third derivative of 529/2*t**3 + 0*t - 23/4*t**4 + 18 + t**2 + 1/20*t**5. Solve k(x) = 0.
23
Let u(o) = -5*o + 142. Let c = 92 + -64. Let t be u(c). Determine h, given that 0 + 2/13*h + 6/13*h**t + 4/13*h**3 = 0.
-1, -1/2, 0
Let o(r) be the second derivative of -r**7/21 + 26*r**6/15 - 187*r**5/10 + 37*r**4/3 + 1952*r**3/3 + 1664*r**2 + 135*r. Let o(g) = 0. What is g?
-2, -1, 8, 13
Determine o, given that -272/3*o**2 + 62/3*o**4 + 0*o + 212/3*o**3 - 2/3*o**5 + 0 = 0.
-4, 0, 1, 34
Factor -13/2*v**4 + 96*v**2 - 8*v**3 + 0 - 1/2*v**5 + 0*v.
-v**2*(v - 3)*(v + 8)**2/2
Let h = 80751 + -80749. Determine p so that -16/5*p**3 + 2/5*p**5 + 14/5*p + 4/5*p**h - 8/5 + 4/5*p**4 = 0.
-4, -1, 1
Let b = -11/122 - -83/244. Let d(a) be the first derivative of 0*a + 25 - b*a**3 - 1/20*a**5 + 3/16*a**4 + 1/8*a**2. Factor d(v).
-v*(v - 1)**3/4
Let n = 1045 - 1034. Suppose 74 = n*m + 19. Suppose 5*o**4 - 5/2 + 5*o**3 + 5/4*o**m - 25/4*o - 5/2*o**2 = 0. What is o?
-2, -1, 1
Let v(b) be the second derivative of -3*b**5/40 + 953*b**4/8 - 226575*b**3/4 - 682587*b**2/4 + 6250*b. What is c in v(c) = 0?
-1, 477
Let l(f) = -f**2 - 487*f + 4973. Let b be l(10). Let 216/7*w + b*w**2 + 60/7 = 0. Calculate w.
-10, -2/7
Let n(p) be the third derivative of -1/112*p**8 + 4*p**3 - 107*p**2 - 1/2*p**5 + 0*p + 1/35*p**7 - 1/2*p**4 + 0 + 1/8*p**6. Find j, given that n(j) = 0.
-2, -1, 1, 2
Let g(a) be the second derivative of 0 - 16*a + 1800*a**3 + 1/5*a**5 - 30*a**4 - 54000*a**2. Determine n so that g(n) = 0.
30
Let q = 14394/35885 + -8/7177. Suppose -12/5 + q*l**2 - 2/5*l = 0. Calculate l.
-2, 3
Let p be ((-605)/(-374))/55*0. Factor p - 3*g**3 + 15/7*g**2 + 6/7*g.
-3*g*(g - 1)*(7*g + 2)/7
Let u(o) be the second derivative of o**4/21 - 1604*o**3/21 + 321602*o**2/7 - 186*o + 3. Factor u(j).
4*(j - 401)**2/7
Factor -17/2*b**2 - 1/2*b**3 + 0 + 0*b.
-b**2*(b + 17)/2
Let h = -3297 + 303321/92. Let s = h - -13/46. Factor -5/4*u - 1/2*u**2 + s*u**5 + u**3 - 1/2 + u**4.
(u - 1)*(u + 1)**3*(u + 2)/4
Suppose -32*m = -30*m - 40. Let d = -41 + 45. Factor 12*h**3 + 0*h**3 - 12*h**d - m*h**2 + 17*h**2.
-3*h**2*(2*h - 1)**2
Let f(x) = -3*x - 7. Let j(i) = 4*i + 8. Let n(c) = -5*f(c) - 4*j(c). Let k be n(3). Factor 2*r - 3*r - 2*r**4 + r**3 + r**4 + k*r + r**2.
-r*(r - 1)**2*(r + 1)
Let h be (-4*(-3)/(-12))/((-1)/(-88)). Let j = 93 + h. Let -4*a - 9*a**3 + 2*a**4 + 3*a**5 + 5*a - 3*a**2 + j*a + a**4 = 0. Calculate a.
-2, -1, 0, 1
Let u be 1362 - (5 + 5/(-2)). Let d = u - 1359. Factor -2*m**2 + 1/4*m**5 - 7/4*m - 1/2 - d*m**3 + 1/2*m**4.
(m - 2)*(m + 1)**4/4
Let k(q) = q**2 + 464*q - 1869. Let m be k(4). Determine w, given that -9*w**2 + 3/4*w**4 + 48 - 24*w + m*w**3 = 0.
-4, 2
Factor -2/5*i**2 - 60*i - 298/5.
-2*(i + 1)*(i + 149)/5
Determine d, given that 0*d - 50*d - 3 - 45 - 2 - 5*d**2 - 30 = 0.
-8, -2
Let v = 2568 + -2563. Let y(u) be the third derivative of 2/9*u**3 + 0 - 2*u**2 + 0*u + 1/12*u**4 + 1/90*u**v. Factor y(x).
2*(x + 1)*(x + 2)/3
What is h in -2 - 47*h**4 + 113*h**4 - 867*h + 2 - 865*h**3 - 1733*h**2 - 65*h**4 = 0?
-1, 0, 867
Let t(c) be the third derivative of c**5/270 - 14*c**4/9 + 332*c**3/27 - 1388*c**2 + c. Factor t(i).
2*(i - 166)*(i - 2)/9
Suppose -1459264/3 - 1/3*m**2 - 2416/3*m = 0. What is m?
-1208
Suppose -18*i = 37*i - 770. Let m be 5/((-25)/(-5)) + i/4. Factor -m*n**3 - 1/2*n**5 + 7/2*n**2 - n + 5/2*n**4 + 0.
-n*(n - 2)*(n - 1)**3/2
Solve -876*n**2 + 285*n - n**5 + 2030*n**3 - 1832*n**3 + 6*n**4 - 2*n**5 + 1350 = 0.
-9, -1, 2, 5
Let u(t) be the second derivative of -t**6/15 - t**5/5 + 4*t**4/3 + 1834*t. Factor u(a).
-2*a**2*(a - 2)*(a + 4)
Let t = -7773 + 7775. Let r(w) be the first derivative of 3/4*w**4 - 6*w**3 + 18*w**t + 28 - 24*w. Determine j, given that r(j) = 0.
2
Let m = 3/129839 + 2077409/649195. What is c in -20*c**2 - 16/5*c + m + 20*c**3 = 0?
-2/5, 2/5, 1
Let q(m) = -3*m**3 + 54969*m**2 - 50343369*m + 50288451. Let u(n) = -n**3 + 21988*n**2 - 20137348*n + 20115381. Let f(j) = 5*q(j) - 12*u(j). Factor f(g).
-3*(g - 1831)**2*(g - 1)
Let d(m) be the first derivative of m**5/20 - 19*m**4/8 - 79*m**3/12 - 5*m**2 + 5806. Let d(r) = 0. What is r?
-1, 0, 40
Let u(t) be the second derivative of 0*t**2 + 20*t - 1/4*t**4 | {
"pile_set_name": "DM Mathematics"
} |
*2 + 7*y + 2*y**2 - y - y**3. Let a(o) = -5*m(o) - 2*p(o). Factor a(j).
-3*(j - 1)*(j + 1)**2
Let n = -29 - -175. Let q = n - -44. Let -50*i**5 - 278*i**3 - 14*i - 70*i - q*i**4 - 8 - 194*i**2 + 20*i = 0. Calculate i.
-1, -2/5
Let c be 2*(6 + -8 - 10/(-4)). Let j be 2/c*21/6. Find g such that 3*g**5 - 26*g**2 + 16*g**4 + 34*g**2 - j*g**5 - 20*g**3 = 0.
0, 1, 2
Solve -2040194*o**2 + 590683 - 1085142 - 2*o**4 - 2609985*o - 1482543*o - 780974 + 4044*o**3 - 772855 = 0.
-1, 1012
Let k be 10*24/2040*(-51)/(-12). Factor k*h**2 + 5/2*h + 2.
(h + 1)*(h + 4)/2
Let m(p) be the second derivative of 78961*p**4/6 + 562*p**3/3 + p**2 + 137*p + 2. Factor m(o).
2*(281*o + 1)**2
Find n, given that -27*n + 1/2*n**5 + 0 - 69/2*n**2 + 9/2*n**4 - 7/2*n**3 = 0.
-9, -2, -1, 0, 3
Suppose 2*u = 2*y + 8, -2 = 5*y - 6*y. Suppose -u = 10*q - 12*q. Factor 2*x**3 + 3*x**2 + 6*x**q - 9*x - 11*x**3 - 15*x**2.
-3*x*(x + 1)*(x + 3)
Let j be ((-1)/(9/(-26)) - (-1 + 3))*(-55512)/(-80184). Determine h so that -22/13*h - 6/13*h**3 + j + 20/13*h**2 = 0.
1, 4/3
Suppose 38*c - 164 = -24*c + 21*c. Determine j so that 0*j - 2/3*j**2 + 4/3*j**3 - 2/3*j**c + 0 = 0.
0, 1
Let t be (32/(-24))/((-3)/((-18)/(-4))). Let n(g) = -g**2 + 38*g + 37. Let z(f) = f**2 + f - 1. Let l(h) = t*z(h) - n(h). Factor l(j).
3*(j - 13)*(j + 1)
Let j = -7630043 - -114521129/15. Let p = j - 4696. Factor -16/5*m**3 + 2/15 - 16/15*m + 6/5*m**4 + p*m**2.
2*(m - 1)**2*(3*m - 1)**2/15
Let r(n) = 37*n**4 + 14*n**3 + 23*n**2 - 25*n + 7. Let v(w) = 16*w**4 + 7*w**3 + 11*w**2 - 13*w + 3. Let y(z) = -3*r(z) + 7*v(z). Factor y(m).
m*(m - 1)*(m + 4)**2
Let d be ((-5)/15)/((-5)/45). Suppose 5*z - 5 = 0, 4*i + 0*z - 19 = -d*z. Find u, given that 5*u**4 - 4*u**5 + 4*u - 12*u**2 + 3*u**4 + 0*u**2 + i*u**2 = 0.
-1, 0, 1
Let y(m) = -6*m**2 - 711*m + 3. Let a(n) = -11*n**2 - 1423*n + 5. Let s(b) = -3*a(b) + 5*y(b). Find l, given that s(l) = 0.
-238, 0
Let p be ((-12989)/434 - -30)/(2/80). Let 2/7*y**3 - 144/7 + 24/7*y + p*y**2 = 0. What is y?
-6, 2
Let y be 4188/(60/5) + 8. Let w be 76/y + (-29)/((-4872)/(-16)). Factor w*l**2 + 0 + 0*l.
2*l**2/17
Let p(x) be the third derivative of x**5/150 + 619*x**4/30 + 383161*x**3/15 + 1994*x**2. Factor p(h).
2*(h + 619)**2/5
Let r(b) = 8*b - 130. Let v be r(16). Let p be (-4)/(-30) - ((-468)/135 - v). Solve 0 + p*i**2 + 0*i + 2/5*i**4 + 8/5*i**3 = 0.
-2, 0
Let n(q) = -q**2 - 22*q + 43. Let g be n(-24). Let o be ((-6)/g)/((-7)/(70/(-4))). Let 5*y + 3 + o*y**2 + 5*y - 4*y = 0. Calculate y.
-1
Suppose 1155*f**2 - 97*f**4 - 149*f**3 - 349*f**3 + 498*f - 1647*f**2 + 94*f**4 + 495 = 0. Calculate f.
-165, -1, 1
Let g(b) = -316 + 306 + 15*b**2 - 4*b**3 - 9*b**2. Let r(f) = f**3 - f. Let j(v) = -g(v) - 3*r(v). Factor j(t).
(t - 5)*(t - 2)*(t + 1)
Let l(f) = -f**2 + 7*f - 136. Let h be l(18). Let u = -334 - h. Solve u - 84/5*g**3 - 66/5*g**4 - 3*g**5 - 24/5*g**2 + 0*g = 0.
-2, -2/5, 0
Let y(v) = -9*v**2 + 5553*v - 3636. Let k(w) = -15*w**2 + 11105*w - 7283. Let l(s) = 6*k(s) - 11*y(s). Factor l(x).
3*(x + 617)*(3*x - 2)
Let p(n) = 2*n**3 - 94*n**2 + 84*n. Let y(r) be the second derivative of -r**5/20 - r**3/3 - 3*r - 78. Let m(j) = p(j) + 12*y(j). Factor m(i).
-2*i*(i + 10)*(5*i - 3)
Let w(r) = 4*r**4 - 35*r**3 - 91*r**2 - 73*r + 7. Let b(t) = -2*t**4 + 17*t**3 + 47*t**2 + 37*t - 3. Let i(n) = -7*b(n) - 3*w(n). Find p such that i(p) = 0.
-2, -1, 0, 10
Let y(j) be the second derivative of 1/3*j**4 + 1/30*j**6 + 0 - 1/5*j**5 + 9*j + 17/2*j**2 + 0*j**3. Let n(k) be the first derivative of y(k). Factor n(u).
4*u*(u - 2)*(u - 1)
Factor -208/3*w**2 + 7*w**3 - 22/3 - 251/3*w.
(w - 11)*(w + 1)*(21*w + 2)/3
Let z(o) be the third derivative of -o**7/840 - o**6/80 + o**5/20 + 19*o**4/48 + 7*o**3/8 - o**2 + 258. Determine r, given that z(r) = 0.
-7, -1, 3
Let a(y) = y**2. Let n be (3 - -1*1)*(-4 + 2). Let w be (n/10)/(3/(-60)). Let b(d) = 12*d**2 + 8*d. Let k(i) = w*a(i) - b(i). Factor k(m).
4*m*(m - 2)
Let o(y) be the second derivative of -7*y**5/12 - 15*y**4/8 - 5*y**3/3 - 113*y**2 + 32*y. Let b(u) be the first derivative of o(u). Factor b(r).
-5*(r + 1)*(7*r + 2)
Let h(o) be the first derivative of -1/30*o**4 - 49 + 0*o + 0*o**2 + 4/15*o**3. Factor h(g).
-2*g**2*(g - 6)/15
Let g(w) = 3*w - 8. Let p(b) = -5*b**2 + 1902*b - 1892. Let h(u) = g(u) + p(u). Let h(y) = 0. What is y?
1, 380
Let 5*w**2 + 293742 + 5260*w + 269709 + 671579 + 148350 = 0. What is w?
-526
Let h(f) = -6*f + 9. Let k be h(1). Factor 6075*t - 593*t**3 - 592*t**k + 1188*t**3 + 270*t**2.
3*t*(t + 45)**2
Let c(s) = -s**5 + s**4 + s**2 + 1. Let b(l) = 3*l**5 - 11*l**4 + 23*l**3 - 9*l**2 - 24*l + 14. Suppose 27*a + 32 = -22. Let u(i) = a*c(i) - b(i). Factor u(z).
-(z - 4)**2*(z - 1)**2*(z + 1)
What is s in -186/7*s**2 - 2/21*s**3 - 38088/7 - 13248/7*s = 0?
-138, -3
Let t(w) be the third derivative of w**7/14 + 65*w**6/24 - 91*w**5/12 + 115*w**4/24 + 3*w**2 - 603*w - 1. Find j such that t(j) = 0.
-23, 0, 1/3, 1
Let u(s) = -69*s - 18. Let k(c) = c**2 + 72*c + 12. Let f(a) = 3*k(a) + 2*u(a). Factor f(z).
3*z*(z + 26)
Let r(w) be the third derivative of 5*w**8/84 + 13*w**7/42 - 49*w**6/24 - 121*w**5/12 + 195*w**4/8 + 30*w**3 - 49*w**2 - 4*w. Let r(x) = 0. What is x?
-4, -3, -1/4, 1, 3
Let h(v) = 73*v**2 + 46*v**3 - 11*v - 167*v**2 - 24 - 6*v**5 - 2*v**4 + 53*v + 30*v. Let a(o) = -o**5 + o**3 - 2*o. Let b(x) = 4*a(x) - h(x). Factor b(j).
2*(j - 2)*(j - 1)**3*(j + 6)
Let j(h) be the first derivative of h**3/27 + 52*h**2/9 + 1867. Determine p so that j(p) = 0.
-104, 0
Let g = -500 + 362. Let x = -136 - g. Factor 10/9*m**2 - 2/3*m - 2/9*m**3 - x.
-2*(m - 3)**2*(m + 1)/9
Let p(d) be the first derivative of -d**7/1260 + 4*d**6/405 + d**5/45 + 26*d**3/3 + 2*d - 19. Let q(v) be the third derivative of p(v). Factor q(c).
-2*c*(c - 6)*(3*c + 2)/9
Let b(v) be the second derivative of -v**6/900 + v**5/20 + 13*v**3/3 - 38*v - 1. Let z(m) be the second derivative of b(m). Let z(p) = 0. Calculate p.
0, 15
Suppose -375 = -3*c + 3*j, 5*j - 12 = -32. Let h = c + -237/2. Solve -75/2*x**4 - h*x**3 + 10*x + 30*x**2 + 0 = 0.
-2/3, -2/5, 0, 1
Let f(o) = 6*o**3 - 4*o**2 + 3*o. Let i be f(2). Suppose 8 = -2*k + i. Factor 9 + k*t**3 - 12*t + 13*t**3 - 22*t**3 - 15*t**2.
3*(t - 3)*(t + 1)*(2*t - 1)
Let l(v) = -5 + 0*v - 11 - v**2 + 10*v. Let m be l(6). Determine h, given that -56*h**3 + 25*h**4 + 60*h - 4*h**5 + m*h**2 - 36 + 50*h**4 - 47*h**4 = 0.
-1, 1, 3
Let w(z) be the second derivative of 23*z + 0*z**2 + 0 + 2/21*z**3 + 9/28*z**5 - 2/7*z**4 - 5/42*z**6. Determine a, given that w(a) = 0.
0, 2/5, 1
Let a(v) be the second derivative of -51796809*v**4/28 - 14394*v**3/7 - 6*v**2/7 + 4338*v + 2. Let a(z) = 0. What is z?
-2/7197
Factor -68/7 - 66/7*x + 2/7*x**2.
2*(x - 34)*(x + 1)/7
Let y(k) = -k**2 - 18*k - 72. Let a be y(-6). Let q be a*2*(-2 + 1)/2. Factor q*t + 3*t**4 + 15/4*t**3 + 0 + 3/2*t**2 + 3/4*t**5.
3*t**2*(t + 1)**2*(t + 2)/4
Factor -100/3 - 98/3*g + 2/3*g**2.
2*(g - 50)*(g + 1)/3
Let h(w) = 2*w**5 + w**3 + w**2 + 2*w. Let j(b) = 11*b**5 - 50*b**4 + 72*b**3 + 42*b**2 - 73*b + 10. Let d(g) = -4*h(g) + 2*j(g). Find t, given that d(t) = 0.
-1, 1/7, 1, 2, 5
Let w(d) be the third derivative of 0*d**5 + 0 + 7/36*d**4 + 161*d**2 - 1/180*d**6 + 0*d - 2/3*d**3. Let w(r) = 0. Calculate r.
-3, 1, 2
Let y(c) be the first derivative of 2*c**7/105 + 19*c**6/120 + 19*c**5/60 - c**4/4 + 23*c**2/2 + 29. Let m(i) be the second derivative of y(i). Factor m(q).
q*(q + 2)*(q + 3)*(4*q - 1)
Let d(m) be the first derivative of m**6/10 - 429*m**5/25 + 3774*m**4/5 + 6324*m**3/5 - 59616*m**2/5 - 186624*m/5 - 1569. Solve d(w) = 0 for w.
-2, 3, 72
Let t(p) be the first derivative of -1/3*p**6 + 8*p - 7/2*p**4 + 8*p**2 + 107 + 2/3*p**3 - 2*p**5. What is k in t(k) = 0?
-2, -1, 1
Let k(b) be the second derivative of -b**5/40 + 1391*b**4/24 - 40252*b**3 - 121104*b**2 - 161*b. Determine s, given that k(s) = 0.
-1, 696
Suppose 450 + 82/11*m**2 - 1110/11*m - 2/11*m**3 = 0. What is m?
11, 15
Determine t, given that -16*t**2 - 10 + 67/3*t + 11/3*t**3 = 0.
1, 15/11, 2
Let 0 + 1/7*n**3 - 176/7*n - 86/7*n**2 = 0. What is n?
-2, 0, 88
Factor 45/4*l + 1/4*l**2 - 23/2.
(l - 1)*(l + 46)/4
Let v be (-3)/(-1)*1/9*6. Let t be (v/(-15))/(216/(-270)). Let -2/3*g + 1/2 + t*g**2 = 0. What is g?
1, 3
Let a(d) be the | {
"pile_set_name": "DM Mathematics"
} |
Let s be 1 - ((-24)/(-9))/2. What is the second biggest value in s, -1, j?
s
Let f = -4.412 - -0.012. Let v = -0.0127 - 4.3873. Let j = v - f. Which is the smallest value? (a) 1 (b) j (c) 0.3
b
Let r = 3534 - 3533.5. What is the third biggest value in -4/3, -0.3, -1/3, r?
-1/3
Let a = -6030 - -6026. What is the third smallest value in -1, 2/7, -1.8, a?
-1
Let f = 4615.4 - 4616.2. Which is the fourth biggest value? (a) 0.4 (b) 0.3 (c) -13 (d) -3 (e) f
d
Let u = 34.35321 + -0.08321. Let d = u - 34. Let v = d + -0.47. What is the second smallest value in -3, v, -1/6?
v
Let q = -518 + 519. Let m = -1196.83 + 1184. Let w = m + -0.17. Which is the biggest value? (a) -4 (b) q (c) w
b
Let g be 15 + -24 + (-2 - -15). What is the smallest value in -1/12, 451, g?
-1/12
Let l = -3.01 + 0.01. Let o = -14108.3 + 14108.252. Which is the second smallest value? (a) -1/4 (b) -5 (c) o (d) l
d
Let f = 192 - 191. Let x be (-2 + f)/((-3)/(-12)). Let m(s) = s**2 - 6*s + 6. Let i be m(4). Which is the fourth smallest value? (a) i (b) x (c) -5/3 (d) 4
d
Let f = -118 - -66. Let j = -52 - f. Let x be (j - -2)/((16/(-6))/4). What is the third biggest value in x, 0.4, -2/3?
x
Let j = -12065 - -12067. What is the second biggest value in -5/2, j, 5/3, 0.5, 0.8?
5/3
Let p = -27.49 + 0.49. Let g = -4564 + 4563.8. What is the biggest value in g, -3/4, p?
g
Let o(v) = -71*v + 1921. Let x be o(27). Which is the biggest value? (a) 0.1 (b) x (c) -2/13 (d) -2/7 (e) -2.8
b
Let i = 424 - 279. Let m = i - 133.3. Let y = m - 12. Which is the second biggest value? (a) 2/7 (b) 0.4 (c) y (d) 2/25
a
Let n be 819/(-4445) - 4/(-20). Let f = -365/1016 - n. What is the third smallest value in f, -1/4, 1/2, -5?
-1/4
Let q = -106.9 - -101. Let i = -36.1 - q. Let j = -30 - i. What is the fourth smallest value in j, -3, -5, 1?
1
Suppose z = 5*z. Let q = 7521 + -7521.06. Which is the third biggest value? (a) 3/7 (b) z (c) -2/3 (d) q
d
Let l = -0.006 - -0.136. Let d = -0.87 - l. Let b be (-33)/(-15) - (3 + -2). What is the second smallest value in -3, b, d?
d
Let o = 977 - 1456. Let l = o - -485. What is the third smallest value in -1, l, -0.4, -8/3?
-0.4
Let t = 13926 - 13918. Which is the third smallest value? (a) 2 (b) t (c) -11/3
b
Let j = -20242 + 20242. What is the second smallest value in j, 1, -4, -1, 0.014?
-1
Suppose 16 = -3*t + 4*r, -1 = t + 2*r + 1. Let q = 1402 + -1396. Which is the second biggest value? (a) q (b) t (c) 5 (d) -5
c
Let p(k) = k**3 + 12*k**2 - 13*k - 18. Let q be p(-13). Let g be q/(-10)*8/24. Which is the second smallest value? (a) -0.3 (b) g (c) 13
b
Let y = 0.623 + -0.623. What is the third smallest value in -4, y, -9?
y
Let y = -130 - -45. Let i = y + 84.71. Let u = -2.29 - i. What is the third biggest value in 3, 2/23, u?
u
Let f = -3564 + 3560. Which is the second smallest value? (a) 4 (b) f (c) -5 (d) 2 (e) 5
b
Suppose -2*s - 18 = -4*d, -138*d + 30 = -133*d - 5*s. Which is the smallest value? (a) d (b) 11.1 (c) -0.13
c
Let n = 3.186 + -3.586. What is the biggest value in n, -0.07, 12, 1/4?
12
Let w(y) be the second derivative of y**3/2 + 31*y**2/2 + 7*y + 1. Let o be w(-10). Which is the fourth biggest value? (a) 2 (b) 0.3 (c) -1/10 (d) o
c
Let g = 0.055 - -3.945. Let k = -0.65 + -1.35. Which is the fourth smallest value? (a) -0.4 (b) 6 (c) k (d) g
b
Let t = -3.684 + 7.684. What is the second biggest value in t, -36, -2/7?
-2/7
Let q be 12*(-12 + 15)/(2 + -1). Suppose q*i = 34*i - 2. Which is the third smallest value? (a) -39 (b) i (c) 5
c
Let c = -14 + -148. Let v = c - -161.9. Suppose -2*l = -2*k + 12, -5*k + 26 = -0*l - l. What is the third biggest value in -0.2, l, 3, v?
-0.2
Suppose -3*p - 5*t - 7 = 0, 3*p - 4*t + 6*t = 8. Suppose -p*w + 62 = -106. Let f = -1.92 - -2.02. Which is the second biggest value? (a) f (b) -0.1 (c) w
a
Let v = -41273 + 41273. Which is the third smallest value? (a) v (b) 1 (c) 5.6 (d) -1
b
Let l = 1.3 - 0.3. Let f = 1070 - 1066.84. Let s = f - 3.06. Which is the second smallest value? (a) s (b) l (c) -1
a
Let a = 1063 - 414. Let y = a + -651. What is the third smallest value in -0.1, 4, -4, y?
-0.1
Let d = -247/255 + 80/51. What is the third biggest value in 2/9, d, -3/4?
-3/4
Let n = 496 + -496.08. Which is the second biggest value? (a) n (b) -1/2 (c) -17
b
Suppose -748*j - 3880*j = 465*j - 4780 - 313. Let d = 713/9 + -79. What is the smallest value in 7, -3, j, d?
-3
Let v = -10839 - -10834. Let y be (10/(-8))/((-7)/7). Let g = -0.2 - 0.2. Which is the third biggest value? (a) v (b) g (c) y
a
Let t be 8 + -1 + (684038/(-2585))/38. Which is the fourth biggest value? (a) -0.5 (b) t (c) -0.4 (d) 0 (e) -5
a
Suppose 0 = -2*w - 82 + 41 + 33. What is the second smallest value in -7/121, -0.2, w?
-0.2
Let j = 80197/1805445 - -1/40121. What is the second biggest value in -1/9, 1/6, 1, -2/39, j?
1/6
Let t = 0.408 - -59.592. Let l = 62 - t. Which is the biggest value? (a) -2/9 (b) 4 (c) 0.5 (d) l
b
Let n = 0.5122 + -0.4022. Which is the second smallest value? (a) n (b) 0.3 (c) 1/9
c
Let w = 1690 + -2313. Which is the third biggest value? (a) 0.2 (b) 0.4 (c) w
c
Let w = -2954895389/39 + 75760549. Let m = w - -5999. Let o = 3/13 - m. Which is the fourth biggest value? (a) -4 (b) o (c) 0.3 (d) 0.06
a
Suppose -p + 8 = p. Suppose 2*h = t - 22, -2*t - h + 77 = 3. Let q be (p/10)/(t/10). Which is the fourth smallest value? (a) q (b) 0.2 (c) -2/9 (d) 2/7
d
Let q = -52503 - -48211. What is the third smallest value in -4, -5, q, -2/11?
-4
Let y = 184 + -183.789. Let t = 0.611 - y. Let j = 9 + -4. Which is the fourth biggest value? (a) j (b) t (c) -3/8 (d) 1/3
c
Suppose 2*i - r - 79 = -3*i, 0 = -5*i - 5*r + 85. Let y be (2/(-8))/((-14)/i). Which is the fourth smallest value? (a) y (b) 3 (c) 3/4 (d) 0.5
b
Let i = -0.97 + -0.03. Let n = 0.079 - 348.079. Let x = -350 - n. Which is the third smallest value? (a) 2/17 (b) x (c) i
a
Let w be (-4 - -10)*(28/(-8) + 3). Let r be w + (-9)/6 + 5 + -2. Which is the third smallest value? (a) -0.4 (b) r (c) -6
a
Suppose 5*x - 15 = 3*k, -4*k - 13*x - 20 = -8*x. What is the smallest value in -4, k, 0.13, 2, 4?
k
Let f = 84.051 - 84. Let d = 0.351 - f. Which is the second biggest value? (a) 0.2 (b) d (c) 0.01
a
Let l = -240.7 - -240.5. What is the third biggest value in l, -22, -6, -4, 0.2?
-4
Let q be 1*7 + (-7 - -7). Let u = 21110 + -21106. Which is the second smallest value? (a) -3/2 (b) q (c) u
c
Suppose 0 = 6*r - 5*r - 21. Let l = -17 + r. Let i = -666 - -665.8. What is the second smallest value in -20, l, i?
i
Let g be ((-4)/3*(-78)/(-676))/((-2)/26). What is the smallest value in g, 0, 0.5, 1/12, -361?
-361
Let r = 45.9 - 46. Let i = -13/44 - -1/22. Let l be (-7 + 13)/60 - 4/(-10). Which is the biggest value? (a) r (b) l (c) i (d) -4
b
Let u = 4371701 + -7016579794/1605. Let i = u + 2/321. Let w(m) = -m. Let h be w(-4). Which is the fourth smallest value? (a) 0.5 (b) h (c) -1/3 (d) i
b
Let i = 37 - 81/2. Let k = 219.27 + -1.27. Let s = k + -217.5. Which is the second smallest value? (a) 2/5 (b) 1 (c) i (d) s
a
Let h = 24.7 + -3.7. Let f = -20.5 + h. Let x = -0.09 + 0.11. Which is the fourth smallest value? (a) f (b) x (c) 3 (d) 0
c
Let j = 23/117 + -301/936. Let g = -14.9 + 15. What is the second smallest value in 2, g, 2/3, j?
g
Let r be 4/22 - (-199)/(-22)*4. Let q be 816/(-85)*10/(-3). Let u = r + q. Which is the fourth biggest value? (a) 0.1 (b) 2 (c) 1 (d) u
d
Let i = 8726 + -8700. What is the second biggest value in -3/7, -1/4, i, -0.1?
-0.1
Let g = 0.2544 - 0.0544. Which is the third smallest value? (a) -3 (b) 1028 (c) g
b
Let s be (-213)/142*(-6)/27. Let d = 2.04 - -0.36. What is the fourth biggest value in 2, -5, d, s?
-5
Let z = -47/21 + 5/3. Let n = -18.5 + 19. Let x = n + -0.8. Which is the smallest value? (a) x (b) z (c) -3
c
Let q be 12/60*(-40)/60. Which is the third smallest value? (a) 0.05 (b) q (c) -1/2 (d) -30 (e) -4
c
Let a(u) = -u**2 + 91*u - 1895. Let r be a(59). What is the smallest value in -5, r, -1202?
-1202
Let y(t) = t**3 - t**2 + 3. Let z be y(0). Let n = 86 - 82. Suppose -8*x - n = -12*x. Which is the second smallest value? (a) z | {
"pile_set_name": "DM Mathematics"
} |
49*i + u*i. Determine l(k(a)).
4*a**4
Let v(k) = -114*k + 4. Let j(m) = 99*m - 3. Let q(u) = -6*j(u) - 5*v(u). Let n(c) = -c**2 - 5. What is q(n(z))?
24*z**2 + 118
Let x(i) be the first derivative of i**4/4 + 13*i - 12. Let t(f) be the first derivative of x(f). Let a(b) = 3*b. Calculate a(t(k)).
9*k**2
Let o(v) = -416*v + 140*v + 142*v + 130*v. Let b(k) = 1466*k. Determine o(b(d)).
-5864*d
Let n(o) be the first derivative of -o**3/3 - 760. Let v(c) = 3738*c + 2. Determine n(v(m)).
-13972644*m**2 - 14952*m - 4
Let d(i) = -15*i**2 + 5*i. Let z(l) = 19*l**2 - 6*l. Let f(o) = -6*d(o) - 5*z(o). Let g(y) = -555*y**2 + 561*y**2 - 13*y + 19*y. Determine g(f(r)).
150*r**4 - 30*r**2
Let k(c) = -65*c**2. Let i(h) be the second derivative of -h**2 + 7*h. Let p(l) = l - 4. Let a(x) = 2*i(x) - p(x). What is k(a(q))?
-65*q**2
Let g(n) = 59*n + 98327 - 98327. Let y(s) = 48*s**2 - 27*s. Let i(u) = -7*u**2 + 4*u. Let f(a) = 27*i(a) + 4*y(a). What is g(f(b))?
177*b**2
Let k(u) = 3*u. Let i(j) = -2*j - 6. Let l(p) = 0*p + 2*p + 29 + 13*p - 13*p - 24. Let r = -11 - -5. Let x(b) = r*l(b) - 5*i(b). What is k(x(m))?
-6*m
Let a(x) = -x**2. Suppose -32*f - 48 = -176. Let z(c) be the second derivative of 0*c**3 + 14*c + 0 - 25/12*c**f + 0*c**2. What is z(a(i))?
-25*i**4
Let f(c) be the first derivative of c**2/2 - 2. Let n(b) = 26*b - 457200 + 2*b**2 + 457200. Determine n(f(q)).
2*q**2 + 26*q
Let i(d) = 2*d - 7. Let k(r) = -646*r + 4. What is k(i(w))?
-1292*w + 4526
Let c(l) = 11*l**2. Let g(o) = o**2 - 37*o - 1. Let p(r) = -9176*r - 248. Let t(w) = 248*g(w) - p(w). Determine t(c(n)).
30008*n**4
Let l(a) = -106*a**2 + 4*a. Let x(u) = -107423*u. Determine l(x(z)).
-1223208298474*z**2 - 429692*z
Let c(z) = 2587*z. Let m(r) be the first derivative of -r**2/2 + 3049. Give c(m(x)).
-2587*x
Let j(z) = -2*z**2. Let a(b) be the third derivative of 0*b**4 + 61/12*b**5 + 125*b**2 + 0*b + 0*b**3 + 0. Give a(j(v)).
1220*v**4
Let u(d) = -35*d + 28. Let t(o) = -26 - 16 + 41. Let q(w) = 28*t(w) + u(w). Let f(j) = -j + 2. Let i(l) = -4*l + 9. Let s(g) = 18*f(g) - 4*i(g). Give q(s(v)).
70*v
Let b be ((-9)/6)/(9/(-12)). Let c be 0 + 12/9*-3 - -6. Let s(g) = -c*g**b - 12*g**2 + 13*g**2. Let n(p) = -39*p. Determine n(s(u)).
39*u**2
Let v(l) be the first derivative of l**2/2 - 1. Let k be 312/5 + 2/(-5). Let o(f) = -k*f**2 + 32*f**2 + 29*f**2. Give o(v(z)).
-z**2
Let t(x) = 27*x**2 - 229*x. Let g(c) = 884*c. Calculate g(t(h)).
23868*h**2 - 202436*h
Let q(z) = 1641648558*z. Let c(s) = s**2. What is q(c(l))?
1641648558*l**2
Let q(v) = 144*v + 60*v - 295*v + 93*v + 109*v. Let s(m) = 18*m. Give s(q(t)).
1998*t
Let r(p) = p**3 + 14*p**2 - 18*p - 41. Let y be r(-15). Let a(w) = 3*w - 4*w - y*w + 6*w - 2*w. Let m(i) = -3*i**2 + 0*i**2 - 4*i**2. Determine m(a(u)).
-7*u**2
Let x = -851 + 853. Let i(s) be the second derivative of -1/6*s**4 + 0*s**3 + 0 + 0*s**x - 23*s. Let u(d) = -19*d**2. Calculate i(u(o)).
-722*o**4
Let b(f) = -220*f - 3. Let z(y) = 734*y + 10. Let u(w) = 20*b(w) + 6*z(w). Let n(k) = -119*k**2. Calculate u(n(c)).
-476*c**2
Let g(b) = -750*b**2 - 5442*b**2 + 1548*b**2. Let u(n) = -2*n**2. What is u(g(c))?
-43133472*c**4
Let m(r) = r**2. Let c(j) = 3 + 27921088*j - 27921085*j + 20*j**2 - 3. Calculate m(c(k)).
400*k**4 + 120*k**3 + 9*k**2
Let m(z) = -131*z + 388*z - 129*z - 128*z - 2*z**2. Let h(c) = -931*c**2. Calculate m(h(r)).
-1733522*r**4
Suppose 3*p = 241 + 62. Let h(q) = -104*q**2 - p*q**2 + 14*q + 207*q**2. Let a(c) = 3*c**2. What is h(a(f))?
18*f**4 + 42*f**2
Let y = 15 - -25. Let v(o) = 58 - 18 - y + 2*o**2. Let m(b) be the second derivative of -2*b**4/3 - b. Calculate m(v(j)).
-32*j**4
Let h(i) = -396*i**2. Let g(k) = -2*k - 8*k - 6*k + 0*k + 10*k. Determine h(g(w)).
-14256*w**2
Let g(u) be the first derivative of 3*u**2/2 + 189. Let p(j) = 49*j - 9. Calculate p(g(i)).
147*i - 9
Let h(g) be the third derivative of 124*g**2 + 0*g + 0 - 1/24*g**4 + 0*g**3. Let j(m) = 12*m. What is h(j(p))?
-12*p
Suppose 75*m - 131*m = -56. Let d(r) be the first derivative of 0*r**2 + 10/3*r**3 + 0*r + m. Let o(a) = a. Calculate d(o(k)).
10*k**2
Let i(p) = 171*p. Let q(b) = -16723*b + 33456*b - 16729*b. Determine q(i(o)).
684*o
Let w(h) = 287*h. Let m(j) = 26*j. Let k(x) = 56*m(x) - 5*w(x). Suppose 2*c - 1499 - 181 = 0. Let t(l) = -840*l + l**2 + c*l. Give k(t(a)).
21*a**2
Let n(d) = -13*d. Let w(x) be the third derivative of -157*x**5/60 - 276*x**2. Give w(n(k)).
-26533*k**2
Let l(b) be the first derivative of 5*b**2 - 1200. Let x(t) = 4*t**2 - 4. Calculate l(x(u)).
40*u**2 - 40
Let r(y) = 11*y. Let a(p) = -p**2 + 43*p + 36940. Determine a(r(q)).
-121*q**2 + 473*q + 36940
Let z(q) = -2*q + 5. Let o(k) be the second derivative of 0 + 1/3*k**3 + 0*k**2 - 54*k. What is o(z(s))?
-4*s + 10
Let p(a) = 22*a + 10864 - 20*a - 10864. Let v(n) = 43*n - 1. Calculate v(p(b)).
86*b - 1
Let n(k) be the first derivative of -13*k**6/120 + 5*k**4/24 + 233*k**3/3 - 19. Let w(q) be the third derivative of n(q). Let x(p) = p**2. What is x(w(h))?
1521*h**4 - 390*h**2 + 25
Let i(n) be the second derivative of 5*n**4/4 - 4*n**2 + 4244*n. Let x(p) = 25*p. Determine x(i(o)).
375*o**2 - 200
Let h(l) = -6*l + 4. Let a(t) = 13*t - 9. Let z(f) = -4*a(f) - 9*h(f). Let k = -64 - -78. Let j(v) = 4*v - k*v + 20*v + 15*v. What is j(z(p))?
50*p
Let d(h) = 1032*h. Let q(x) be the first derivative of 7*x**3/3 + 2394. Calculate d(q(w)).
7224*w**2
Let a(s) = -s - 48. Let m(o) = 9*o**2 - 5*o. Let j(i) = 2*i**2 - i. Suppose 0 = -7*q + 353 - 563. Let u(b) = q*j(b) + 6*m(b). Calculate u(a(r)).
-6*r**2 - 576*r - 13824
Let z(g) = 14*g + 2. Let f(r) = 408*r + 35. Let s(p) = f(p) - 15*z(p). Let t(o) = -4*o**2. Give t(s(m)).
-156816*m**2 - 7920*m - 100
Let a(r) be the first derivative of -r**2/2 - 37*r + 5118. Let b(t) = -11*t. Determine a(b(y)).
11*y - 37
Suppose 3*g = -4*t + 6, 3*g - 2 = 2*g + 4*t. Let k(m) = -3*m**2 - 25*m**2 + 3*m**g. Let w(d) = 2*d**2. Determine k(w(z)).
-100*z**4
Let q(u) = -11*u**2. Let s(x) = 2*x - 28. Let y(j) = -3*j + 38. Let m(z) = 5*s(z) + 4*y(z). Give q(m(n)).
-44*n**2 + 528*n - 1584
Let m(b) = -5*b**2. Let q(s) = 262821316*s. Calculate m(q(w)).
-345375220719859280*w**2
Let j(a) = 5*a. Let h(q) = 475*q**2 - 19*q - 11. Let x(i) = -116*i**2 + 5*i + 3. Let o(w) = 3*h(w) + 11*x(w). Give j(o(g)).
745*g**2 - 10*g
Let j(n) = -n. Let h be ((-144)/10)/4*(-630)/378. Let d(u) be the second derivative of 0 + 0*u**2 + 1/2*u**3 - h*u. Calculate j(d(z)).
-3*z
Let q(c) = -15*c**2 - 3*c**2 - 4*c**2 - 8 + 2 - c**2 + 4. Let p(f) = -f + 2. Let v(w) = 1. Let j(b) = -p(b) + 2*v(b). Determine q(j(o)).
-23*o**2 - 2
Let y(b) = -10776*b. Let w(p) = -4685*p. Calculate y(w(c)).
50485560*c
Let s(j) = 2*j**2. Let w(b) = 20*b - 10*b - 1 - 11*b. Let c(g) = 4*g + 1. Let r be c(-1). Let i(a) = a**2 + a + 1. Let u(d) = r*w(d) - 3*i(d). Give u(s(x)).
-12*x**4
Let r(j) = 7*j + 20. Let t(a) = 8*a + 25. Let v(h) = -5*r(h) + 4*t(h). Let n(y) = -11*y. What is v(n(g))?
33*g
Let b(s) = -7*s**2. Let h(t) = -53631*t - 86. Determine h(b(x)).
375417*x**2 - 86
Let u(p) be the second derivative of -p**3/3 - 68*p. Let v(q) = -91*q - 65. Let s(r) = 36*r + 25. Let l(i) = 13*s(i) + 5*v(i). Give u(l(m)).
-26*m
Let c(b) = -b. Let i(m) be the first derivative of -255*m**3 + 2. Let f(r) = -17*r**2. Let p be 17/(5/(3 - 43)). Let w(d) = p*f(d) + 3*i(d). Determine w(c(s)).
17*s**2
Let f(u) = -5*u. Let m(i) be the third derivative of i**8/4032 + 53*i**5/60 - 2*i**2 + 10. Let z(s) be the third derivative of m(s). What is f(z(o))?
-25*o**2
Let q(a) = -3*a**2 + a**2 + 5*a**2 + 2*a**2 + 4*a**2. Let h(l) = 27*l**2 + 9*l + 9. Let b(c) = c**2 + c + 1. Let u(s) = -9*b(s) + h(s). Determine u(q(v)).
1458*v**4
Let v = 21 - -4. Let q(r) = -v + 2*r + 25. Let i(d) = -4*d + 9*d - d. What is q(i(b))?
8*b
Let t(x) = -293*x - 305*x - 40*x**2 + 598*x + 10. Let a(j) = 4*j**2. Give t(a(g)).
-640*g**4 + 10
Let t(i) = 131*i - 4. Let c(n) = 131*n - 3. Let s(l) = 4*c(l) - 3*t(l). Let r(o) = -5576*o**2 + 7117*o**2 - 1539*o**2. What is s(r(b))?
262*b**2
Let h(q) = 7*q - 240 - 3*q + 240 - 2*q. Let i(a) = 3645*a. Give h(i(j)).
7290*j
Let v(r) = -2*r. Let z(u) = -u**2 - 6*u - 1. Let i be z(-5). Let k(d) = 242*d**2 - 213*d**2 + i - 4. Calculate v(k(h)).
-58*h**2
Let q(r) = 2*r. Let v(z) be the fi | {
"pile_set_name": "DM Mathematics"
} |
eplacement from fnfnffnfnnnnnfnnnn. Give prob of picking 2 f.
5/51
Calculate prob of picking 1 c, 1 w, and 1 f when three letters picked without replacement from fffcccfcfcccwcfccc.
11/136
Calculate prob of picking 2 y when two letters picked without replacement from yyyccyyyycyyyyy.
22/35
Two letters picked without replacement from {w: 1, f: 6, v: 1, r: 1, d: 1, m: 3}. Give prob of picking 1 w and 1 f.
1/13
Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {t: 4, m: 11, h: 3}.
44/153
What is prob of picking 2 p and 1 a when three letters picked without replacement from {p: 5, a: 3, h: 4}?
3/22
What is prob of picking 1 j and 1 g when two letters picked without replacement from {m: 4, g: 11, j: 3}?
11/51
Three letters picked without replacement from etddtydldttdttttyd. What is prob of picking 2 y and 1 e?
1/816
Two letters picked without replacement from adtaajaaataaa. What is prob of picking 1 t and 1 d?
1/39
Four letters picked without replacement from lcclccl. Give prob of picking 1 l and 3 c.
12/35
Calculate prob of picking 1 p, 1 c, and 2 o when four letters picked without replacement from cooccoppcooycccwocc.
45/646
Four letters picked without replacement from adigg. Give prob of picking 1 d, 1 i, 1 g, and 1 a.
2/5
What is prob of picking 2 v when two letters picked without replacement from ooovovov?
3/28
Four letters picked without replacement from {q: 10}. Give prob of picking 4 q.
1
Two letters picked without replacement from tjpttttttdttt. What is prob of picking 1 j and 1 t?
5/39
Four letters picked without replacement from vcvkckcvvcvccc. What is prob of picking 3 c and 1 v?
25/143
Two letters picked without replacement from ryfql. What is prob of picking 1 y and 1 f?
1/10
Three letters picked without replacement from jiiijj. Give prob of picking 2 i and 1 j.
9/20
What is prob of picking 2 w when two letters picked without replacement from rrvrvrrwrrwrgwwrvvr?
2/57
Two letters picked without replacement from {l: 2, y: 8, k: 2, a: 2}. Give prob of picking 1 y and 1 l.
16/91
Four letters picked without replacement from {t: 2, e: 4, w: 7, l: 1}. Give prob of picking 2 t and 2 w.
3/143
Calculate prob of picking 4 j when four letters picked without replacement from lnnjnjllnnnjnj.
1/1001
Two letters picked without replacement from {f: 3, n: 1}. Give prob of picking 1 f and 1 n.
1/2
What is prob of picking 1 t and 3 y when four letters picked without replacement from {y: 5, b: 5, t: 1}?
1/33
Two letters picked without replacement from zzioiffn. Give prob of picking 1 z and 1 f.
1/7
Two letters picked without replacement from siqhhiii. What is prob of picking 1 i and 1 h?
2/7
Calculate prob of picking 1 b and 1 o when two letters picked without replacement from okbhmbr.
2/21
What is prob of picking 3 v when three letters picked without replacement from {n: 1, v: 4, e: 3}?
1/14
Two letters picked without replacement from bbswwbswxgs. What is prob of picking 1 x and 1 s?
3/55
Three letters picked without replacement from hsspphhhhpsshhpp. Give prob of picking 3 p.
1/56
Calculate prob of picking 1 u, 2 j, and 1 n when four letters picked without replacement from {t: 2, n: 2, u: 2, j: 4, b: 3}.
24/715
Four letters picked without replacement from ovooooovvvooov. What is prob of picking 2 v and 2 o?
360/1001
Three letters picked without replacement from {p: 10, f: 4}. Give prob of picking 3 f.
1/91
Two letters picked without replacement from {z: 1, w: 4, b: 3}. What is prob of picking 1 w and 1 b?
3/7
Calculate prob of picking 1 f, 1 x, and 1 d when three letters picked without replacement from fggqxgfxxgdqdggqgf.
3/136
What is prob of picking 4 n when four letters picked without replacement from nnnmtnnmmbmmnn?
5/143
What is prob of picking 1 e and 1 p when two letters picked without replacement from eepepe?
8/15
Three letters picked without replacement from {d: 5, v: 2}. Give prob of picking 3 d.
2/7
Two letters picked without replacement from qrqqjyqbrq. What is prob of picking 1 r and 1 b?
2/45
Two letters picked without replacement from coqecczezzhz. Give prob of picking 2 c.
1/22
Calculate prob of picking 2 m, 1 w, and 1 s when four letters picked without replacement from mxmsmsswjtmtwstxmtst.
20/969
Two letters picked without replacement from {u: 7, b: 2, r: 3, y: 3}. What is prob of picking 2 b?
1/105
What is prob of picking 2 l when two letters picked without replacement from xxxklrxlrxrlxkrxx?
3/136
Three letters picked without replacement from {q: 4, o: 2, u: 5, z: 1, j: 1, n: 2}. Give prob of picking 1 q, 1 o, and 1 u.
8/91
Calculate prob of picking 2 n when two letters picked without replacement from xuukgkngnnuugckugug.
1/57
Calculate prob of picking 1 i, 1 r, and 1 o when three letters picked without replacement from {i: 3, o: 5, r: 3}.
3/11
What is prob of picking 4 r when four letters picked without replacement from {r: 7, a: 6, m: 1}?
5/143
Three letters picked without replacement from nzuuuzzuuimunuzmmmn. What is prob of picking 2 n and 1 z?
4/323
What is prob of picking 2 g when two letters picked without replacement from magloogmabbg?
1/22
Two letters picked without replacement from ppppaapp. Give prob of picking 2 a.
1/28
Four letters picked without replacement from {r: 1, c: 1, i: 2, j: 2, l: 2, o: 1}. Give prob of picking 2 j and 2 l.
1/126
Two letters picked without replacement from uuuwuuuwuuuuuuwuuwu. What is prob of picking 1 u and 1 w?
20/57
Two letters picked without replacement from ccccfccceccccccccc. Give prob of picking 1 c and 1 e.
16/153
Calculate prob of picking 2 z when two letters picked without replacement from zuuzuzzuuzzzuuzzuuzu.
9/38
What is prob of picking 1 n, 2 c, and 1 v when four letters picked without replacement from {n: 5, j: 1, c: 4, v: 3}?
18/143
Calculate prob of picking 2 j when two letters picked without replacement from jzjzzgzgggjjzz.
6/91
Two letters picked without replacement from brvrrrvvvrvvvvbvvrv. What is prob of picking 2 b?
1/171
Two letters picked without replacement from gkggxjggjgggjgjxg. Give prob of picking 1 j and 1 k.
1/34
Three letters picked without replacement from {e: 1, y: 1, g: 3, v: 2, m: 3, w: 3}. What is prob of picking 1 y, 1 g, and 1 m?
9/286
What is prob of picking 3 m when three letters picked without replacement from mmam?
1/4
Four letters picked without replacement from iiiaiiiiiiiipddiauid. Give prob of picking 1 d, 1 p, and 2 a.
1/1615
Four letters picked without replacement from {t: 1, d: 2, o: 2, f: 2, g: 1, q: 1}. What is prob of picking 1 t, 1 d, 1 q, and 1 f?
2/63
Three letters picked without replacement from {e: 5, x: 3}. Give prob of picking 3 x.
1/56
Two letters picked without replacement from xzxfxxxxwxxxnfnzn. Give prob of picking 1 f and 1 z.
1/34
Four letters picked without replacement from {j: 2, p: 6, n: 3, f: 3, e: 4}. Give prob of picking 1 f and 3 e.
1/255
What is prob of picking 1 j and 1 s when two letters picked without replacement from {v: 2, s: 4, g: 2, j: 2}?
8/45
Three letters picked without replacement from {z: 7, p: 4, w: 6}. What is prob of picking 2 p and 1 w?
9/170
Four letters picked without replacement from kkjmyylqqqlyqmy. Give prob of picking 3 y and 1 m.
8/1365
Four letters picked without replacement from {k: 8, a: 8, s: 4}. Give prob of picking 4 s.
1/4845
What is prob of picking 1 c, 1 e, and 1 h when three letters picked without replacement from {c: 10, e: 3, h: 2}?
12/91
Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {x: 3, q: 2, u: 1, b: 1, f: 1, k: 4}.
2/33
Four letters picked without replacement from rrzrzz. Give prob of picking 3 z and 1 r.
1/5
What is prob of picking 1 g, 1 a, and 1 h when three letters picked without replacement from llahg?
1/10
Calculate prob of picking 2 w when two letters picked without replacement from {v: 2, s: 7, w: 4}.
1/13
Calculate prob of picking 2 z when two letters picked without replacement from {y: 1, b: 3, z: 5, w: 1, o: 6, p: 3}.
10/171
Four letters picked without replacement from bqvvvvqbbvbq. Give prob of picking 2 b and 2 q.
2/55
Calculate prob of picking 3 x and 1 g when four letters picked without replacement from {x: 6, g: 2}.
4/7
Two letters picked without replacement from {k: 1, g: 3, l: 1, | {
"pile_set_name": "DM Mathematics"
} |
6779564
Multiply 3 and -66976614.
-200929842
What is the product of 43 and 139.0247?
5978.0621
What is -22.6125 times -183?
4138.0875
What is 1674943 times -27?
-45223461
-4 times 9327.581
-37310.324
Calculate 4998*10.04.
50179.92
What is -828 times -394404?
326566512
804360*6
4826160
Calculate -0.008*3597563.
-28780.504
Multiply -32935.568 and 0.13.
-4281.62384
Calculate -0.3095*-56230.
17403.185
56.9982*-0.028
-1.5959496
-13840721 times -5
69203605
0.14 * -0.114522
-0.01603308
Multiply -7 and -368094.
2576658
What is 578166 times 0.006?
3468.996
What is 59657857 times 8?
477262856
What is -106 times -2.5579?
271.1374
What is -6645170 times -27?
179419590
What is the product of 2173 and -127.1?
-276188.3
Work out 6813.7 * -1029.
-7011297.3
What is the product of -55.61006 and -1?
55.61006
What is 0.4 times 9.35411?
3.741644
What is the product of 16374 and 60.9?
997176.6
Product of 0.0134694 and 1.
0.0134694
239976*-5
-1199880
Work out 41 * 27047.
1108927
2.6 times -9.367753
-24.3561578
3967859*-0.5
-1983929.5
5459709 times 0.01
54597.09
-1 * -4.766705
4.766705
-300 times -2472.1
741630
Multiply 0.5 and -1.0725057.
-0.53625285
Calculate -2258.6*-1.821.
4112.9106
Calculate -303217*-5.
1516085
Multiply -16.1145 and -0.883.
14.2291035
What is the product of 0.3777702 and 44?
16.6218888
Calculate -96609*-1077.
104047893
0.3640639*30
10.921917
0 * 0.050709234
0
Calculate -2*-2.47937.
4.95874
Work out -136878.4 * -0.054.
7391.4336
Work out 100.98 * 6.95.
701.811
What is 73 times -2060060?
-150384380
What is -0.1 times 32826312?
-3282631.2
Product of -0.2 and 2784354.
-556870.8
0.118604 * -43
-5.099972
Calculate -0.03*1743.18.
-52.2954
Multiply 16769157 and 0.
0
What is the product of 0.89 and 43714?
38905.46
Multiply -876 and -0.239323.
209.646948
What is 209 times 553325?
115644925
-1035897*0.2
-207179.4
Work out -61496433 * 5.
-307482165
-120312.171*-3
360936.513
-36780 * 0.649
-23870.22
What is 280.794 times 41?
11512.554
Product of -11 and -266902.
2935922
161746833 * 0.3
48524049.9
What is -26.835 times -7367?
197693.445
What is the product of 0.1 and 2809210?
280921
5286095 times -13
-68719235
What is the product of -0.006 and 661516?
-3969.096
What is the product of -0.3 and -46823657?
14047097.1
Multiply 0.37 and 5.697714.
2.10815418
Work out 184237.3 * -0.081.
-14923.2213
What is 1 times 141194?
141194
Multiply -0.044709 and -1192.
53.293128
What is -1090 times 28.4149?
-30972.241
179.42 times -319
-57234.98
-1437.4 * -46.7
67126.58
2225 * -3948
-8784300
What is 1893 times -13.4721?
-25502.6853
Calculate 3152478*-5.
-15762390
0.4*822.19672
328.878688
11483365*-1.4
-16076711
What is 0.07 times 110.288482?
7.72019374
117025654 times 0.4
46810261.6
Calculate 13531*58.
784798
1.1*4099.7946
4509.77406
Calculate -0.035674*0.638.
-0.022760012
Product of 167108 and 66.8.
11162814.4
Product of 136772470 and 1.
136772470
4220117*3
12660351
What is the product of -0.4 and 1145843?
-458337.2
What is 0.02 times -66846.1?
-1336.922
-0.1 times -72626847
7262684.7
Calculate -0.21709698*0.059.
-0.01280872182
What is the product of -63054498 and 0.3?
-18916349.4
Product of -57513.443 and 1.
-57513.443
Calculate 158.918*232.
36868.976
-9 * 505421
-4548789
Multiply -0.01 and 4229024.
-42290.24
What is the product of -5.948875 and -5?
29.744375
-0.02 times 2344.15
-46.883
-33421896 * -1
33421896
Product of -2959648 and -8.
23677184
Work out -7.2022847 * 0.5.
-3.60114235
Calculate -11*-28713086.
315843946
Calculate 0.285*-0.006928.
-0.00197448
0.4 * 64556
25822.4
54297 * -2409
-130801473
What is the product of 28357.5 and 6?
170145
Product of 42500 and 1446.
61455000
Work out 6163413 * 5.
30817065
Calculate -9*11515264.6.
-103637381.4
What is -49245020 times 3?
-147735060
What is the product of 0.02 and 258285?
5165.7
4685 times -75489
-353665965
Work out 36 * 153819.
5537484
-311990019 * 4
-1247960076
-55635.7328 times -0.1
5563.57328
-64 * 51127
-3272128
Multiply -10.39411205 and 0.2.
-2.07882241
2 times -1183591
-2367182
-60 times -94207
5652420
Multiply 5450 and -2.6939.
-14681.755
0.5*-1.001205
-0.5006025
Multiply 382.6364 and -0.64.
-244.887296
1.7699375 * 5
8.8496875
Multiply -179 and -0.249724.
44.700596
What is the product of -26.384 and -330.3?
8714.6352
Multiply -2025.8 and 155.
-313999
Product of 986 and -259933.
-256293938
Work out 52850 * 0.248.
13106.8
What is the product of -1.6 and -0.2713746?
0.43419936
-5 * -29.561373
147.806865
0.2 * 261482
52296.4
What is 17.19389 times 5?
85.96945
-10597 times 1599.3
-16947782.1
37.5*2067866
77544975
Multiply 98 and 741588.
72675624
-0.0148 times 3.288
-0.0486624
Product of -2.03387974 and 0.1.
-0.203387974
-0.037*16.79007
-0.62123259
Calculate 0.5*-48309014.
-24154507
What is -0.11211454 times 0?
0
-0.349*-40692
14201.508
-3 times -340439722
1021319166
Multiply 1 and -0.334197635.
-0.334197635
Product of -0.3 and 3925757.
-1177727.1
1.58798*-0.29
-0.4605142
0.1*516.472
51.6472
9481 * 5.49
52050.69
What is the product of 286034759 and -4?
-1144139036
-0.6984*-13
9.0792
Work out 0.003601852 * -0.1.
-0.0003601852
17863306 * -0.07
-1250431.42
428 * 961.12
411359.36
What is the product of -2 and -10391269?
20782538
4.6971 * 1449
6806.0979
-2325261*-0.2
465052.2
Calculate -18*8219628.
-147953304
-1*-8032220
8032220
0.463*430223
199193.249
Calculate 4*1115448.
4461792
Calculate -425940*0.001.
-425.94
-128 times -400423
51254144
52118958*0.09
4690706.22
-10202*96.2
-981432.4
Work out 1946 * -4368.
-8500128
Work out 4789477 * 2.
9578954
-5.5391*-724
4010.3084
Work out 0 * 6633.6396.
0
Product of 465 and -1490.38.
-693026.7
-5*-94639441
473197205
Work out 0.067341412 * 0.3.
0.0202024236
Product of -10523.137 and -10.
105231.37
Product of 29 and -8710.8.
-252613.2
What is -0.6668808 times -3?
2.0006424
What is 6957010 times 1?
6957010
Multiply -69.673 and 414.
-28844.622
Work out 0.08 * 312044.
24963.52
187057*29
5424653
Product of 22638 and 25.
565950
18*-167.249
-3010.482
Calculate 1.55032*11.
17.05352
What is -47 times 0.515082?
-24.208854
0.5 * -1.2589362
-0.6294681
What is -112090092 times -0.3?
33627027.6
Work out -18 * 8021038.
-144378684
Calculate 10696*-972.
-10396512
0*26944958
0
What is the product of -0.6 and -435847?
261508.2
-5 * 40686031
-203430155
0.6 * -4871.5011
-2922.90066
What is the product of -232 and -300811?
69788152
What is 0.3 times -493482.4?
-148044.72
What is the product of -1.2 and 3.75201?
-4.502412
-155*47377
-7343435
Work out 0.025 * 7.72706.
0.1931765
476.31*-0.05
-23.8155
-39 times -2758202
107569878
Calculate 26*-116.87.
-3038.62
0.05*-0.1261943
-0.006309715
What is 0.2427 times -6549?
-1589.4423
Multiply -1854 and 10.076.
-18680.904
Calculate 3839172*1.2.
4607006.4
What is the product of -3 and 4.1013359?
-12.3040077
Product of -143829.1 and -3.4.
489018.94
21*-8244450
-173133450
What is 14 times 2844836?
39827704
-781550*0.01
-7815.5
Calculate 1282*342.8.
439469.6
-21276*-0.1211
2576.5236
Product of -0.10954 and 0.046.
-0.00503884
What is 3847776 times 0.1?
384777.6
3610082*-6
-21660492
Work out -0.5 * -1008.8328.
504.4164
What is 28 times 30812150?
862740200
Multiply -365388 and 2.5.
-913470
What is 4 times -1903293?
-7613172
What is -23315611 times 4?
-93262444
Multiply 52.3 and 2110.
110353
-34.32 * 5020
-172286.4
Multiply -0.3 and -2011.347.
603.4041
Calculate -2463019*1.
-2463019
0.29*0.0478043
0.013863247
267*19262
5142954
Product of 1.5355 and 0.0281.
0.04314755
Product of 138880 and 0.02.
2777.6
Product of 142722043 and 8.
1141776344
Multiply 0 and 1919.022.
0
0.06*10139.72
608.3832
What is the product of 2586 and 0.04736?
122.47296
What is 2.19 times -0.90707?
-1.9864833
Product of 3620933 and -0.1.
-362093.3
7 times -0.10733
-0.75131
Work out -33381131.2 * 0.
0
Multiply 2849033 and 45.
128206485
0.19122 * 13.8
2.638836
100.32 * -424
-42535.68
What is 2 times 0.08649711?
0.17299422
What is the product of 27321075 and 3?
81963225
Calculate -0.4*-8430967.
3372386.8
What is the product of 221639 and -358?
-79346762
Work out 10143438 * 0.004.
40573.752
1412.5271 * -0.9
-1271.27439
Calculate 8146*0.0288.
234.6048
1004979.2 * 0.07
70348.544
-0.1*-115890110
11589011
Multiply 3043 and 14522.
44190446
Work out 36.74251 * -33.
-1212.50283
What is -7.9 times 5.478?
-43.2762
C | {
"pile_set_name": "DM Mathematics"
} |
)/3 - 140198636/18348. Let t = y - -103941/278. Let o = 7264 + t. Find the common denominator of o and 45/16.
176
Let k(q) = -11*q**3 + q. Let f be k(-1). Let j(s) = -s**2 + 11*s. Calculate the smallest common multiple of 5 and j(f).
10
Let q be (9843/(-6) + -1)*-2. Suppose 2*d - r + 3*r + 6536 = 0, -d - q = 4*r. Let c = d - -52243/16. Find the common denominator of c and -21/22.
176
Suppose -2*j + 56 = -0*j. Let g = -20 + j. Calculate the common denominator of (-1)/(-4) + (-190)/g and 53/2.
2
Let p = 1/232 - -14033/696. Let m = -483118/27683 - -818/47. Let o = m + -54217/11780. What is the common denominator of o and p?
60
Let i = 70 + -559/8. Let x = 5/8 - i. Let h = 59/2 + -62. What is the common denominator of h and x?
2
Let g(t) = -9*t - 3. Let p be g(5). What is the smallest common multiple of ((-14)/(-8))/((-6)/p) and 12?
84
Let f(o) = -o**2 + o + 1. Let y be f(0). What is the common denominator of y/9*39/4 and 53/16?
48
Let c(f) = 3 - 2*f + 3*f + 1. Let z = 20 - 25. Calculate the common denominator of c(z) and 67/8.
8
Suppose -37*f + 20 = -32*f. Suppose 7 = 3*v - 2*v. Calculate the lowest common multiple of v and f.
28
Suppose 3*g + 2672 = -5*p + 4*g, p + g = -532. Let a = 59709 - 180655/3. Let v = a - p. Calculate the common denominator of 31/5 and v.
15
Suppose -5*g - c + 10 = c, 5 = -5*g - 5*c. Calculate the lowest common multiple of 3 and 48/22 + g/(-22).
6
Let f = 42101/7218 - -2/3609. Calculate the common denominator of f and 79/2.
6
Let h = -58 + -14. Calculate the common denominator of 105/22 and (-2)/((h/(-178))/1).
198
Let t = 3 + 0. Suppose 2*k = -t*k. Suppose k = -6*x + x + 30. What is the lowest common multiple of x and 10?
30
Let d(i) = -124*i - 1. Let t be d(-1). Let c = t - 80. Let f = c - 31. Calculate the least common multiple of 18 and f.
36
Calculate the smallest common multiple of (-2448)/(-88) - 2/(-11) and 22.
308
Let d be (-1)/2*12/(-3). Suppose 2*z + 616 = d*s, -3*s + 611 = -s - z. Let q = -2690/9 + s. Find the common denominator of q and -27/8.
72
Let k(z) = -25529*z**2 - 2*z - 2. Let o be k(4). Let v = -2480159/6 - o. Let d = -4905 - v. Calculate the common denominator of -55/2 and d.
6
Suppose 5*k - 5*i - 105 = 0, 3*k = i + 3*i + 67. Suppose -2*d + j = -k, -2*d + j = -4*j - 37. Calculate the least common multiple of d and 20.
60
Let u be 5/1*(-99)/(-15). Suppose 3*i = -21 - u. Calculate the common denominator of 4/i - (-269)/198 and -95/14.
154
Suppose v = 2739 + 494. Let g = v - 19505/6. Find the common denominator of -23/11 and g.
66
Let w = -540 - -2191/4. Let o = 1/10 - 1/2. Calculate the common denominator of w and o.
20
Let y(w) be the second derivative of 7/12*w**4 + 3*w + 0 - w**2 - 1/3*w**3. What is the least common multiple of y(2) and 10?
110
Suppose 29*n - 33*n + 24 = 0. Calculate the least common multiple of 3 and n.
6
Let i(d) = d**3 - 8*d**2 + 2*d - 2. Let y be (32/(-6))/((-2)/3). What is the smallest common multiple of i(y) and 12?
84
Suppose 4*y - 8 = 2*y. Suppose -5*v + 2*x = -v + y, -2*v = 5*x - 10. Suppose 0 = -3*g - v*g + 15. Find the common denominator of g and 33/4.
4
Let p be 1 - -1 - 25889/11. Let f = -2354 - p. Let s = -953/190 + 6/19. Find the common denominator of s and f.
110
Let x be 48/28 - 6/(-21). Suppose 7*r + 25 = x*r. Calculate the common denominator of r and -29/5.
5
What is the common denominator of 57/20 and (40/(-144))/((-2)/(-10))?
180
What is the lowest common multiple of 666/21 - 3/42*-4 and 20?
160
Let l = 291095 + -2904987/10. Let u = 589 - l. Calculate the common denominator of u and -41/20.
20
Let j(y) = -4*y**2 - 2*y + 3. Let x be j(-3). Find the common denominator of -122*((-2)/(-32))/1 and (x + -2)/(0 - -5).
40
Let l = -2 - -4. Suppose 10 = -12*f + 14*f. What is the lowest common multiple of l and f?
10
Let c(g) = -g - 8. Let o be c(0). Suppose -5*b + 0*b - 55 = -5*m, 0 = 5*b + 4*m + 19. What is the common denominator of -15/2 and (-56)/11*(b - o)?
22
Suppose 69 = 3*j + 198. Let l = 72 + j. What is the common denominator of -3*l/(-6) - -2 and 9/10?
10
Let r = -27/4 - -149/20. Suppose 0 = 3*h + k - 0*k + 29351, -5*h = -2*k + 48922. Let l = 137065/14 + h. Find the common denominator of l and r.
70
Suppose 0*q = -4*q + 72. Let i(t) = -2*t + 14. Calculate the lowest common multiple of q and i(-7).
252
Suppose -8*x + 15 = -3*x. Let n = 15451/12 - 1286. Find the common denominator of x*1 + 546/(-72) and n.
12
Let a = -558/11 - -6471/110. What is the common denominator of a and -4 + (-245)/42 - -1?
30
Let p = -4685/22 - -213. Let i = p + 513/88. What is the common denominator of i and (-1)/10*655/(-6)?
24
Let f(k) = 2*k - 8. Let w be 2/1 + (1 - 5). Calculate the lowest common multiple of (-104)/(-10) - w/(-5) and f(6).
20
Let s be 0 + 0 - (-901141 + 2). Let l = s + -5425241/6. Let r = -3075 - l. What is the common denominator of 59/2 and r?
6
Let z = -22 + 7/3. Let o = z - -81/4. Find the common denominator of o and -109/14.
84
Let s = 74 + -64. Suppose -2*a + 0*a - 8 = 0. Let c = a - -7. Calculate the least common multiple of s and c.
30
Suppose -a - 3*q - 21 = -3*a, -32 = -3*a + 4*q. What is the least common multiple of a and 18?
36
Let g = 603/14 + -172/7. What is the common denominator of g and 23/3?
6
Find the common denominator of ((-6)/4)/(((-360)/(-25))/6) and 21/52.
104
Suppose 0 = 4*m - 57 - 23. Let b = 9 - -1. Calculate the smallest common multiple of b and m.
20
Let h be ((-973)/35)/((-2)/(-4)). Let a = h - -1063/30. Calculate the common denominator of 7/10 and a.
30
Suppose 5*r = 4*x + 128, -9 - 23 = x - 5*r. What is the common denominator of (4/6)/(x/582) and (-2)/9 - 1390/144?
8
Let k be -2*(-1)/(-10)*10078. Suppose -3*w - r = -6014, -w + 6*r = 3*r - 2008. Let n = w + k. Calculate the common denominator of -37/3 and n.
15
Let l = 244 + -2437/10. What is the common denominator of l and -3/8?
40
Let s = 3/50 - -769/100. Calculate the common denominator of s and 7/12.
12
Let f be (-63)/3*(-1 - 2). Suppose 4*p - 25 - f = 0. What is the lowest common multiple of p and 8?
88
Find the common denominator of -48/7 and (65/6)/(((-4)/6)/1).
28
Let i = 26 + -16. What is the smallest common multiple of 46 and i?
230
Suppose -2*z + 0*z - 98 = -4*d, -d + 5*z + 20 = 0. Suppose -d - 2 = -3*f. What is the least common multiple of 6 and f?
18
Let d be (-2)/(-1 - 1) + 3. Suppose d*r = -r + 35. Calculate the lowest common multiple of 1 and r.
7
Suppose -b = 3*p - 2*b + 37, 4 = 4*b. Let z = p + 32. What is the smallest common multiple of z and 20?
20
Let f = 6509/8 - 815. Calculate the common denominator of 11/8 and f.
8
Let b = -4253/42 + 822/7. Calculate the common denominator of -35/6 and b.
6
Let b be 6*(-2 + (-3)/(-2)). Calculate the common denominator of 19*(-2 + (-18)/(-10)) and 6 + b - (-13)/(-2).
10
Suppose -149 = -2*i + 37. Suppose -i - 75 = o. Calculate the common denominator of 63/16 and ((-5)/44)/(4/o).
176
Let b = -15 - -24. Let n = 7 - -1. Calculate the least common multiple of n and b.
72
Let h be (-1)/3 - 210765/126. Let o = -1670 - h. Let d = -6043 + 84645/14. Calculate the common denominator of d and o.
14
Find the common denominator of 44/45 and -3 + (2352/(-45))/(-8).
45
Let w(v) = 2*v**2 - 2*v - 2. Let t be w(2). What is the least common multiple of 18 and (1/t)/((-1)/(-28))?
126
Suppose 0 = -b + 4*b + 3*u - 30, -5*b - 4*u = -46. What is the lowest common multiple of 10 and (3/b)/(1/4)?
10
Let g = 12658631/47 + -269353. Let j = -7/94 + g. What is the common denominator of -65/6 and j?
6
Calculate the common denominator of (2 - (-98)/(-35)) + 547/(-60) and ((-3)/2)/(6/(-79)).
12
Let z be ((-18)/30)/((-3)/15). What is the common denominator of 1 - 1 - 186/20 and ((-13)/5 - z) + 2?
10
Suppose 5*g - 30 = -3*b + 8*b, -6 = -2*b - 4*g. Let j be (-38)/(-3) + b/(-9). Suppose 0 = 2*v - 5 - j. Calculate the least common multiple of v and 5.
45
Let y(h) = h**3 + 5*h**2 - 14*h + 10. Calculate the least common multiple of 2 and y(-7).
10
Let r = -983 - -10850/11. What is the common denominator of r and 125/6?
66
Let u = -7 + 37. What is the lowest common multiple of 6 and u?
30
Let w = -6295/3 + 2126. Let g = -24 + w. Calculate the common denominator of -29/10 and g.
30
Let n be (-1)/(21/48567) + 2. Let z = 2303 + n. Calculate the common denominator of z and - | {
"pile_set_name": "DM Mathematics"
} |
- 4/7 + 2/7*l = 0 for l.
-1, 2/3
Factor 2/9*z**2 + 4/9*z - 2/3.
2*(z - 1)*(z + 3)/9
Let l(m) = -m. Let u(w) = -w**2 + 6*w - 6. Let q be 2 + (6*-1)/(-2). Let s be u(q). Let i(t) = 2*t**2 + 6*t. Let x(p) = s*i(p) - 4*l(p). Factor x(o).
-2*o*(o + 1)
Let m be ((-1 + 1)/4)/((-3)/(-3)). Factor 0 + 0*f - 2/3*f**2 + 2/3*f**4 + m*f**3.
2*f**2*(f - 1)*(f + 1)/3
Let j be 6/8 + 76/(-16). Let g = j - -8. Factor -6*l - 5*l**4 + g*l**4 - 4*l**2 - 2 + 7*l**4 + 2*l**5 + 4*l**3.
2*(l - 1)*(l + 1)**4
Let z(p) be the second derivative of -p**5/5 + p**4/2 + p**3/3 + 5*p. Let l(q) = -5*q**3 + 6*q**2 + 2*q. Let h(b) = -4*l(b) + 3*z(b). Factor h(i).
2*i*(i - 1)*(4*i + 1)
Suppose 5*x + 3 - 23 = -y, -3*y + 20 = 5*x. Suppose 2*v = 5*c + 16, -5*v - c + 10 + 3 = y. Determine r so that r**3 - 4*r**2 - r**3 - 2*r - 2*r**v = 0.
-1, 0
Let h(z) = z**4 - z**3 - z**2 - z - 1. Let o(b) = -b**5 + 4*b**3 - 4*b**2 - b - 1. Let a(m) = h(m) - o(m). Factor a(i).
i**2*(i - 1)**2*(i + 3)
Let k be 3/(1*(2 + 1)). Let h(v) = -v**4 - v**2 - v. Let r(b) = -b**4 - 8*b**3 - 7*b**2 + b. Let d(y) = k*r(y) + h(y). Suppose d(n) = 0. Calculate n.
-2, 0
Let l(x) be the second derivative of -x**5/240 + x**4/48 - x**3/24 - 3*x**2/2 + 3*x. Let m(q) be the first derivative of l(q). Factor m(f).
-(f - 1)**2/4
Let r(m) be the first derivative of -m**3/9 - 2*m**2/3 + 5*m/3 - 16. Solve r(i) = 0 for i.
-5, 1
Let x(d) be the second derivative of 2*d + 0*d**3 + 0 + 0*d**2 + 1/42*d**4. Factor x(n).
2*n**2/7
Suppose d - 4 = -0*d. Let f(j) be the first derivative of -1 + 0*j + 1/3*j**6 + 1/5*j**5 + 1/2*j**2 - 3/4*j**d - 1/3*j**3. Factor f(p).
p*(p - 1)*(p + 1)**2*(2*p - 1)
Let t be (-36)/(-30)*10/4. Let w = t - 1. Factor 2*q**w - 3*q**2 + q + 3*q**2 + q**3.
q*(q + 1)**2
Suppose -5*s - 2 = -7*s. Factor -q**3 + q - 1 + s + q**2 - q**4.
-q*(q - 1)*(q + 1)**2
Let h(s) = -s**2 + 8*s - 8. Let n be h(6). Let w = n + 0. Factor -2 - w*u**2 - 2*u**2 + 4*u**2 + 4*u.
-2*(u - 1)**2
Suppose -134*n = -124*n. Suppose n + 2/7*f - 4/7*f**3 - f**2 = 0. Calculate f.
-2, 0, 1/4
Suppose -y + 3 = -1. Let u(t) be the second derivative of -1/21*t**y + 0*t**2 + 1/21*t**3 + 0 + 1/70*t**5 + t. Suppose u(d) = 0. Calculate d.
0, 1
Let c(k) be the first derivative of -k + 3 - 1/35*k**5 - 1/105*k**6 + 2/21*k**3 + 0*k**4 + 1/7*k**2. Let d(a) be the first derivative of c(a). Factor d(b).
-2*(b - 1)*(b + 1)**3/7
Find s such that -5*s**2 + 3*s**2 - s**5 - s + 2*s**5 + 2*s**4 = 0.
-1, 0, 1
Factor 1/4*k**2 - k + 1/4*k**3 - 1.
(k - 2)*(k + 1)*(k + 2)/4
Let s = -33/2 + 17. Find j, given that 0*j - s + 1/2*j**2 = 0.
-1, 1
Let u = 5 + -7. Let d be 6/(-6)*u/1. What is f in 0*f**3 - 12*f - 3*f**3 + f - 3 + 2*f - 9*f**d = 0?
-1
Let c(x) be the first derivative of 3 + 1/5*x**2 - 2/15*x**3 + x + 1/30*x**4. Let t(f) be the first derivative of c(f). Factor t(y).
2*(y - 1)**2/5
Let r be (-271)/(-15) + (-6)/15. Let v = r + -17. Factor 0*s + 0 + 0*s**2 + v*s**3.
2*s**3/3
Let m(g) be the second derivative of -g**5/5 + 11*g**4/6 - 5*g**3/3 + 33*g. Let m(p) = 0. What is p?
0, 1/2, 5
Let x(u) = 2*u**3 - 3*u**2 + 3*u. Let i(k) = 3*k**3 - 4*k**2 + 4*k. Let t(h) = h + 6. Let s be t(-9). Let j(m) = s*i(m) + 4*x(m). Suppose j(v) = 0. What is v?
0
Let g(t) be the second derivative of t**4/96 - t**3/8 + 9*t**2/16 - 8*t. Solve g(r) = 0 for r.
3
Let l(k) = -k**2 - 2*k. Suppose 0 = -6*d + d - 10. Let y be l(d). Factor -2/9*o**4 + 0 - 2/3*o**5 + 0*o**2 + y*o + 4/9*o**3.
-2*o**3*(o + 1)*(3*o - 2)/9
Let n = -77 + 50. Let u be (n/(-36))/(6/40). Find t, given that -2/5*t + 3/5*t**u - t**4 + t**2 - 1/5*t**3 + 0 = 0.
-1, 0, 2/3, 1
Let y(f) = -2*f**4 - 16*f**3 - 22*f**2 - 6*f - 2. Let t(a) = a**4 - a**2 + a - 1. Let r(n) = 2*t(n) - y(n). Factor r(j).
4*j*(j + 1)**2*(j + 2)
Let l(q) be the first derivative of 3 - 4/21*q**3 - 4/7*q + 4/7*q**2. What is i in l(i) = 0?
1
Let m(q) be the first derivative of 0*q**2 - 2/21*q**3 + 2/35*q**5 + 0*q**4 + 0*q - 4. Solve m(c) = 0 for c.
-1, 0, 1
Let k(w) be the third derivative of 0 + 0*w - 1/12*w**4 - 1/3*w**3 + 1/60*w**6 + 2*w**2 + 1/30*w**5. Solve k(o) = 0.
-1, 1
Factor 0 + 3*g**3 - 3*g + 3/4*g**4 - 3/4*g**2.
3*g*(g - 1)*(g + 1)*(g + 4)/4
Factor -3*v**4 + 0*v**2 - 5*v**3 + 4*v**2 - 2*v**4 + v**2 + 5*v**5.
5*v**2*(v - 1)**2*(v + 1)
Factor -8/3*f**2 + 0 - 2*f.
-2*f*(4*f + 3)/3
Let r be 5/20 + 19/4. Factor 4*y**2 - 9*y**4 + 5*y**5 + y**4 - 2*y**3 + y**r.
2*y**2*(y - 1)**2*(3*y + 2)
Factor -3/4*r - 1/4*r**3 - 1/4 - 3/4*r**2.
-(r + 1)**3/4
Let -2/5*r + 2/15*r**2 - 8/15 = 0. Calculate r.
-1, 4
Let z(k) be the second derivative of k**5/50 - k**4/15 - k**3/15 + 2*k**2/5 + 6*k. Factor z(h).
2*(h - 2)*(h - 1)*(h + 1)/5
Let l = 1 - -1. What is q in -4*q**l + 186*q - 186*q + 4*q**3 = 0?
0, 1
Let f be 3/((-360)/47) - (-40)/100. Let z(q) be the third derivative of f*q**6 + 1/630*q**7 + 1/72*q**4 + 3*q**2 + 0 + 1/60*q**5 + 0*q**3 + 0*q. Solve z(c) = 0.
-1, 0
Let x(n) be the second derivative of -49*n**4/78 - 28*n**3/39 - 4*n**2/13 + 13*n. Factor x(o).
-2*(7*o + 2)**2/13
Let p(a) be the first derivative of a**4/24 + a**3/6 + a**2/4 + a + 1. Let k(o) be the first derivative of p(o). Determine r so that k(r) = 0.
-1
Suppose 3 = 6*j - 9. Factor 0*l**3 - 4/5*l**4 + 2/5*l + 0 - 2/5*l**5 + 4/5*l**j.
-2*l*(l - 1)*(l + 1)**3/5
Suppose 0*b + 6 = -3*b. Let s be b/18 + (-140)/(-45). Factor 0 + 3/2*k**2 + 1/2*k**4 - 1/2*k - 3/2*k**s.
k*(k - 1)**3/2
Let i(s) be the first derivative of -1/60*s**5 - 1 - 1/24*s**4 + s**2 + 0*s + 0*s**3. Let p(q) be the second derivative of i(q). Factor p(v).
-v*(v + 1)
Suppose 3*q = -y + 3, -2*q = y - 3 - 4. Let k be ((-1)/(-4))/(y/30). Factor 1/4*d**2 - k*d + 0.
d*(d - 2)/4
Let d be 9 + 2 + (-5 - -2). Let u = d + -3. Suppose 8*l**4 + 4*l**2 + 0*l**2 + 3*l**3 + 7*l**3 + 0*l**2 + 2*l**u = 0. Calculate l.
-2, -1, 0
Suppose -h - 3*a + 9 = 0, 6*a = -4*h + 2*a + 20. Let -3*n**4 + n**h - 3*n**4 - 3*n**3 - n**3 - 3*n**5 = 0. What is n?
-1, 0
Let m(r) = r**2. Let a(b) = b**3 + 4*b**2 - 2*b + 6. Let l be a(-5). Let z(s) = -5*s**2 + s. Let d(x) = l*m(x) - 2*z(x). Suppose d(o) = 0. Calculate o.
0, 2
Let c = 0 + 7. Factor -3*g**5 + 5*g**3 - 7*g**3 + 3*g**2 + 9*g**4 - c*g**3.
-3*g**2*(g - 1)**3
Find w such that -1/6*w + 1/6 - 1/3*w**2 = 0.
-1, 1/2
Let l = -10/17 - -47/51. Find h such that 1/3*h**3 + 0 + 0*h - l*h**2 = 0.
0, 1
Let f be 2/(165/75 + (-1)/5). Let g(r) be the first derivative of -2/7*r + 8/21*r**3 + f + 3/7*r**2. Factor g(a).
2*(a + 1)*(4*a - 1)/7
Suppose 2*q - 1 - 3 = 0. What is t in -4*t**q + t**3 + 6*t - 2*t**3 + 2*t**5 + 4 - 7*t**3 = 0?
-1, 1, 2
Let h = 17 + -8. Let h*p**3 + 2*p + p + 9*p**2 + 3*p**4 + 0*p**3 = 0. What is p?
-1, 0
Let j = -13 - -9. Let l(n) = -n**5 + 4*n**4 - 10*n**3 + 7*n. Let m(g) = -6*g**5 + 21*g**4 - 51*g**3 + 36*g. Let o(v) = j*m(v) + 21*l(v). Solve o(d) = 0.
-1, 0, 1
Suppose 3*f = -2*u + 59 - 21, 2*f - 2*u - 22 = 0. Suppose t + 5 = 2*y + 2, -4*t + f = 0. Solve 0*l + 0*l**4 + 0*l**y + 0 + 0*l**2 + 2/5*l**5 = 0.
0
Let s(k) be the third derivative of 9*k**5/100 + k**4/20 - 38*k**2. Suppose s(b) = 0. What is b?
-2/9, 0
Suppose 2*d**4 + 0 - 2*d**2 - 2/5*d**3 - 4/5*d + 6/5*d**5 = 0. Calculate d.
-1, -2/3, 0, 1
Let z = -56041/14 - -4005. Let l = 18/7 - z. Factor -l*j**2 + 0*j + 1/2.
-(j - 1)*(j + 1)/2
Let o(w) be the first derivative of -w**6/30 + 3*w**4/20 + 2*w**3/15 + 9. Suppose o(k) = 0. Calculate k.
-1, 0, 2
Let -7*i**2 + 3*i**2 + 5 + 15*i**3 - 2*i - 13*i**3 - 1 = 0. Calculate i.
-1, 1, 2
Factor 3/4*q**3 + 3/4*q + 1/2 - 2*q**2.
(q - 2)*(q - 1)*(3*q + 1)/4
Let s be -3*-1*4/6. Suppose s*u + 4 = 3*d - 8, -4*u + 4 = d. Let -4*t**2 + t**4 - d*t**5 - 6*t**5 + 10*t**3 + 3*t**4 = 0. Calculate t.
-1, 0, 2/5, 1
Suppose 13 - 43 = -2*w. Solve -1 - 3*z + 2*z**3 - 3*z**2 + z**2 - 12*z**4 + w*z**4 + z**5 = 0.
-1, 1
Let o(y) be the first derivative of -y**5/30 - y**4/6 + y**2/2 + 6. Let d(t) be the second derivative of o(t). Determine z so that d(z) = 0.
-2, 0
Let g = -1/271 - -1089/1355. Factor -2/5*l**2 - 2/5*l + g.
-2*(l - 1)*(l + 2)/5
Let p(m) be the second derivative of -m**2 - m**3 - 2*m - 1/10*m**5 - 1/2*m**4 + 0. Let p(o) = 0. What is o?
-1
Let l(i) be the first derivative of -i**3/4 - 9*i**2/8 - 3*i/2 + 35. Factor l(x).
-3*(x + 1)*(x + 2)/4
Let v(c) be the first derivative of -c**2/2 + 8*c + 6. Let h be v(6). Suppose -64/5 | {
"pile_set_name": "DM Mathematics"
} |
4*m**2 + 14*m - 6. Let g be 2/(-1*(-6)/39). Let q be v(g). What is the first derivative of -11*z**2 + q + 6*z**2 + 2*z**2 wrt z?
-6*z
Let q(b) be the second derivative of 233*b**6/30 + b**3/6 - 111*b**2/2 + 7*b + 5. What is the second derivative of q(u) wrt u?
2796*u**2
Suppose 56*b - 59*b = -21. What is the second derivative of b*h**3 - 3*h + 15*h**3 + 30*h wrt h?
132*h
Let u(g) be the first derivative of -17*g**4/24 + 13*g**3/2 + 33*g**2/2 - 44. Let d(i) be the second derivative of u(i). Differentiate d(w) with respect to w.
-17
Let u(a) be the second derivative of -a**5/20 - 299*a**4/6 - 67*a**3/3 - a**2/2 - 506*a. Find the second derivative of u(j) wrt j.
-6*j - 1196
Let s be 1/3*10*3. Suppose s = 7*z - 2*z. Find the third derivative of 4*l**6 - z*l**6 - 5*l**2 - 3*l**6 + 2*l**2 wrt l.
-120*l**3
Let f(c) = -1445*c**3 - 7905*c**2 - 306. Let h(k) = 19*k**3 + 104*k**2 + 4. Let m(j) = 2*f(j) + 153*h(j). Find the third derivative of m(p) wrt p.
102
Find the third derivative of t**4 + 219*t**2 - t - 701*t**2 + t**5 + 276*t**2 wrt t.
60*t**2 + 24*t
Let o(q) be the second derivative of q**8/240 - q**5/10 + 2*q**3 - 5*q. Let z(f) be the second derivative of o(f). What is the second derivative of z(y) wrt y?
84*y**2
Let c(n) = 35*n**2 - 8*n + 15. Let h(l) = -105*l**2 + 22*l - 44. Let q(a) = -8*c(a) - 3*h(a). What is the second derivative of q(x) wrt x?
70
Find the first derivative of 353*w**2 + 17 - 185 - 255 - 1 wrt w.
706*w
Suppose 0 = 24*q + 6 - 6. Let n(c) be the third derivative of 0*c**4 + 1/3*c**3 + 3/20*c**5 + 0 + 3*c**2 + q*c. Differentiate n(b) with respect to b.
18*b
Let d = 18 + -14. Find the second derivative of -16*i + 3*i**4 - 11*i**4 + 0*i**d - 3*i**4 wrt i.
-132*i**2
Find the third derivative of -4*z**3 - 5*z**5 - 10*z**2 - 13*z**2 + z**5 + 22 + 21*z**2 wrt z.
-240*z**2 - 24
Let v(z) be the first derivative of -127*z**5/5 - 149*z - 168. What is the derivative of v(n) wrt n?
-508*n**3
Let h(r) be the second derivative of 0*r**2 + 2/5*r**5 + 0 + 0*r**4 + 12*r + 9/2*r**3. What is the second derivative of h(a) wrt a?
48*a
Let a(i) = 1 + 2*i - 13*i**3 + 904*i**2 - 903*i**2 + i**3. Let j(b) = -5*b - 1 - b**2 + 5*b. Let y(g) = a(g) + j(g). Find the second derivative of y(f) wrt f.
-72*f
Let u(z) be the first derivative of 2*z**7/35 + 4*z**3/3 - z**2/2 - 11. Let l(a) be the second derivative of u(a). Find the first derivative of l(k) wrt k.
48*k**3
Let t(r) be the second derivative of 4/15*r**6 + 2*r**2 - 7*r + 0*r**4 + 0*r**3 + 0*r**5 + 0. What is the derivative of t(n) wrt n?
32*n**3
Let u = 18 - -4. Find the third derivative of -8*j**5 + 20*j**2 - 5*j**2 + u*j**5 wrt j.
840*j**2
Let i(j) = -22*j - 1. Let q(d) = 11*d + 1. Let u = 14 - 19. Let s(k) = u*q(k) - 3*i(k). What is the first derivative of s(t) wrt t?
11
Suppose -10*h = h - 55. Let a(g) be the first derivative of -8/3*g**3 + 0*g**4 + 0*g - 8 + 0*g**2 - 2/5*g**h. Find the third derivative of a(x) wrt x.
-48*x
Find the third derivative of 0*i**3 - 259*i**2 + 775*i**2 + 0*i**3 + 262*i**5 - 287*i**2 wrt i.
15720*i**2
Suppose -3*k + 44 = k. Let y = k - 10. What is the second derivative of -5*p - 16*p**5 + 1 + 6*p**5 - y wrt p?
-200*p**3
Let f(n) be the third derivative of -n**9/252 - 79*n**8/112 - n**5/10 - 17*n**4/24 + 243*n**2. Find the third derivative of f(d) wrt d.
-240*d**3 - 14220*d**2
Let g(u) be the third derivative of -3*u**8/2240 + u**5/15 + u**4/4 + 3*u**2. Let n(r) be the second derivative of g(r). Differentiate n(y) wrt y.
-27*y**2
Let m be (15/15)/(1/4). Let f(g) be the first derivative of -g**6 + 0*g**2 + 0*g + m + 0*g**5 + 0*g**4 - 4/3*g**3. Find the third derivative of f(n) wrt n.
-360*n**2
What is the second derivative of 6922*b**3 - 6926*b**3 - 3*b**2 - 145*b + 2*b**2 - 530*b wrt b?
-24*b - 2
Let o(d) be the first derivative of 0*d**4 + 7 - 4/3*d**6 + 0*d + 0*d**3 + 0*d**5 - 5*d**2. Find the second derivative of o(h) wrt h.
-160*h**3
Suppose 0*t = 5*t + 4*k - 1023, 0 = 4*t + 4*k - 820. What is the derivative of 211 + 4*u**4 - t - 19*u**4 wrt u?
-60*u**3
What is the third derivative of 426*k**2 - 4*k**3 + 1691*k - 1691*k + 12*k**3 + 15*k**4 wrt k?
360*k + 48
Find the third derivative of -33*z**3 + 484*z**2 - 1080*z**2 + 458*z**2 wrt z.
-198
Let x(s) be the first derivative of -s**8/336 + s**5/6 - s**3/3 - 35. Let u(w) be the third derivative of x(w). What is the second derivative of u(a) wrt a?
-60*a**2
Let f(y) be the first derivative of 9*y**4 - 21*y**3 - 3. What is the third derivative of f(b) wrt b?
216
Suppose -10 = -2*w - 70. Let x be ((-3)/(-9))/((-2)/w). What is the second derivative of 5*m**3 - 4*m**3 + x*m**3 - 7*m wrt m?
36*m
Let h(b) be the third derivative of -2/15*b**5 + 0*b - 1/4*b**4 + 0 + 9*b**2 + 0*b**3. Find the second derivative of h(p) wrt p.
-16
Find the first derivative of 34*m**2 + 110*m**2 + 11*m**2 - 158 - 24*m**2 - 74 wrt m.
262*m
Suppose 3*q = -v + 3, 0 = 3*q - 4*v - 18 - 0. Suppose 4*m = -n + 14, -4*n + 2 + 0 = -2*m. What is the second derivative of -d**n + 5*d - q*d**2 - 1 + 1 wrt d?
-6
Let u = 449 + -897/2. Let r(h) be the second derivative of -u*h**3 + 4*h + 0 + 1/2*h**2. Find the first derivative of r(p) wrt p.
-3
Let m be (4/(-2))/(22/(-385)). Suppose -5*j + 4*f = -m, 5*f + 31 = 3*j - 3. Find the third derivative of -4*t**2 + 5*t**3 - 6*t**3 - j*t**2 wrt t.
-6
Let r(w) = w - 12. Let k be r(14). Find the second derivative of 4*d**5 - 7*d**5 - 21*d + d**5 - k*d**5 wrt d.
-80*d**3
Let g be -10 - -5 - (0 + -20). What is the first derivative of -6*p - 18*p - g*p + 49 wrt p?
-39
Let g be 3 + (-5*2 - 2). Let y = g + 12. What is the third derivative of 10*u**y - u**2 + 2*u**3 - u**3 - 3*u**3 wrt u?
48
Suppose i + 2*i = -4*k - 3, -4*i - 5 = 5*k. Let v = 2 + 1. Find the second derivative of 0*p**k + 2*p + 3*p**v + 0*p wrt p.
18*p
Let n(i) be the second derivative of i**5/5 + 19*i**3/6 - 13*i**2/2 - 7*i. Let b(x) be the first derivative of n(x). Differentiate b(r) with respect to r.
24*r
Find the third derivative of -489*t**5 - 456*t**2 - 82727*t**3 + 82727*t**3 wrt t.
-29340*t**2
Let n(j) be the third derivative of 3/20*j**5 + 8*j**2 + 1/8*j**6 + 0*j + 0 + 0*j**4 + 0*j**3. What is the third derivative of n(o) wrt o?
90
Let b(f) be the second derivative of 0*f**5 + 0 - 5*f + 0*f**2 + 0*f**3 - 1/10*f**6 + 1/2*f**4. What is the third derivative of b(w) wrt w?
-72*w
Let r(s) = -s**3 - s**2 - s - 1. Let m(o) = 3*o**3 + 3*o. Let t(p) = m(p) + 2*r(p). Let v be t(2). Differentiate 8 - 7*c**4 + v + 0*c**4 - 2 with respect to c.
-28*c**3
Let w(p) be the second derivative of -9*p + p**2 + 0*p**3 + 0 - 1/2*p**5 + 0*p**4. What is the first derivative of w(s) wrt s?
-30*s**2
Find the second derivative of d**2 - 1707*d**3 - 12*d + 1746*d**3 - 22*d wrt d.
234*d + 2
Let o(q) = -2*q**3 + 11*q**2 - 12*q + 10. Let w be o(4). Find the second derivative of 2*g**4 - 7*g - 2*g**4 - 21*g - w*g**5 wrt g.
-200*g**3
Let n(f) = -339*f**2 + 165*f**2 + 11 + 174*f**2 - 21*f**4 - 3*f. Let m(c) = -c**4 - c - 1. Let q(j) = 3*m(j) - n(j). Differentiate q(o) wrt o.
72*o**3
Let a(u) be the third derivative of 0*u**6 + 0*u - 3/10*u**5 - 4*u**2 + 0*u**3 + 0 + 3/35*u**7 + 0*u**4. What is the third derivative of a(s) wrt s?
432*s
Let u = -33 - -40. Let b(d) = -2*d**2 - 7*d - 13. Let x(t) = -3*t**2 - 6*t - 13. Let i(j) = u*x(j) - 6*b(j). What is the derivative of i(g) wrt g?
-18*g
Let a(m) be the second derivative of 21*m**2 + 0 - 35/6*m**3 + 10*m. Differentiate a(u) wrt u.
-35
Let n(c) be the second derivative of -23*c**6/15 - c**3/6 - 3*c**2/2 - 60*c. Find the second derivative of n(j) wrt j.
-552*j**2
Suppose 0 = -4*h + 56 + 72. Let t be (-26)/(-8) + (-8)/h. What is the third derivative of -3*k + k**5 + 3*k**2 + k**2 + t*k wrt k?
60*k**2
Let p = 708 + -703. Let c(d) be the third derivative of 0 + 0*d**p + 0*d**3 + 0*d - 7*d**2 - 1/3*d**4 + 1/40*d**6. What is the second derivative of c(v) wrt v?
18*v
Find the third derivative of -16*o**2 + 66*o + 14*o**2 + 10*o**5 - 50*o**5 wrt o.
-2400*o**2
Let p(y) be the second derivative of -55*y**4/4 - 15*y**3/2 - y**2/2 + 429*y. What is the second derivative of p(s) wrt s?
-330
Let i(c) = 20*c**3 - 2*c**2 + 63*c. Let q(z) = z**3 + 2*z**2 + z. Let d(f) = -i(f) - 2*q(f). Find the second derivative of d(t) wrt t.
-132*t - 4
Find the third der | {
"pile_set_name": "DM Mathematics"
} |
e second smallest value in h, a, 0.5?
0.5
Let j = -2 + 2. Let u = -3 + 0. Let s = u + -1. Which is the second smallest value? (a) s (b) -2/9 (c) j
b
Let n = -0.12 + -0.08. Which is the biggest value? (a) n (b) 2 (c) -4
b
Let g be 2/3 - 10/12. Let z be -6 - 0 - 68/(-10). Which is the second smallest value? (a) z (b) -2 (c) g
c
Let l = 8 - 2. Let r(x) = x**2 - 7*x + 9. Let i be r(l). Which is the third biggest value? (a) i (b) -4 (c) 1
b
Let q = -2.88 + 3. Let k = -0.03 - q. Let m = -0.05 - k. Which is the second biggest value? (a) 0.3 (b) m (c) 2
a
Let k = -10 + 12. Let a = -2.1 + k. What is the third smallest value in 5, -7, a?
5
Let k = 0.28 + -2.28. Which is the third smallest value? (a) -1 (b) k (c) -3
a
Let i = -3 + 8. Let t = -5.7 + i. Let g = t - -1. What is the second biggest value in g, 2, 2/3?
2/3
Let i = 0.11 + -1.41. Let g = 1.2 + i. Which is the smallest value? (a) g (b) -4/3 (c) -0.2
b
Let u = -20 - -19.8. Which is the smallest value? (a) 5 (b) -4 (c) u (d) -3
b
Let b = 3 + 2. Suppose -18 = l + b*l. What is the smallest value in 2/9, l, -0.8?
l
Let t = -45.7 + 46. Which is the third smallest value? (a) t (b) -7 (c) -4
a
Let d = 0 + -0.2. Let r be (-4)/(-6) + 20/(-3). Which is the second biggest value? (a) d (b) -1/4 (c) r
b
Let d = -7 - -2.6. Let i = -4 - d. Let p = 1757/8 - 220. What is the second biggest value in p, 0, i?
0
Let c = -16 + 9. Let k = 5 + c. What is the second smallest value in 0.2, -0.3, k?
-0.3
Let f = 0.98 - 0.48. Let q be 3/35 - (-2)/(-7). What is the biggest value in f, q, 5?
5
Let s(d) = -d**3 - 5. Let u be s(0). Let n = 11 - 11.3. Which is the third smallest value? (a) 1 (b) u (c) n
a
Let h = -2236/7 + 320. What is the third smallest value in -1/4, h, -0.5?
h
Let i be 3102/(-28)*(-2 - -4). Let u = i + 222. What is the third biggest value in u, 4, -3/5?
-3/5
Let v be 2 - (16/15 + 4/12). Which is the third smallest value? (a) v (b) -27 (c) -1
a
Let g = -11/224 + -3/32. What is the third biggest value in 1, g, -5, -11?
-5
Let g = 186 - 2048/11. Which is the second smallest value? (a) g (b) -5 (c) -0.3 (d) 5
c
Let q = 0 + 0.1. Let l = -0.35 + -0.28. Let k = 0.13 + l. Which is the smallest value? (a) k (b) -3 (c) q
b
Let y = 31 - 35. Let b = -77/6 - -515/42. What is the second smallest value in -5, y, b?
y
Let s be ((-4)/3)/1*3. What is the biggest value in 4, -2/3, s?
4
Let z be 2 + -3 + (-4)/(-3). Which is the smallest value? (a) 4 (b) -0.4 (c) z
b
Let u = 4/29 + -18/551. What is the third smallest value in 4, u, 0.4?
4
Let w = -0.4 - -0.4. Suppose a - 4*m = -2*a - 25, 4 = -4*a - 2*m. What is the third biggest value in w, 5, a?
a
Let q = 13/3 - 62/15. Let m = -11 + 7. What is the smallest value in 2, m, q?
m
Let v = 19 + -18. Let h = -6.12 - -0.12. Which is the third biggest value? (a) h (b) -2 (c) v
a
Suppose 0 = 9*j + j + 40. Which is the biggest value? (a) j (b) -3/7 (c) 12 (d) 2
c
Let l = -6.3 - -6. Let q = -42 + 44. Which is the smallest value? (a) q (b) l (c) 0.4
b
Let u be 1/((2/(-8))/1). Let d be 54/4 + (-2)/u. Let x be ((-2)/(-4))/(d/12). What is the third biggest value in 1, -0.1, x?
-0.1
Let h = -18 - -19. Let t = 0.5 + -0.3. What is the second smallest value in t, h, -3?
t
Let r = -0.12 - 0.38. Which is the third smallest value? (a) r (b) -2/37 (c) -1
b
Let f = -3.47 + 3.3. Let s = f - -3.17. Which is the third smallest value? (a) s (b) -3 (c) -0.4
a
Let s = 29.9 - 30. What is the smallest value in s, 1/3, 1, -4?
-4
Let n = -3.1 + 0.1. Let p = n + 4. Let m = p - 4. What is the smallest value in 0.5, m, -2?
m
Let s = 1/3 - 0. Let k = 0.08 - -0.22. Let y = -0.2 - k. Which is the second smallest value? (a) 2/5 (b) y (c) s
c
Let i = 6/71 - -53/213. Suppose 3*p = 4*p - 1. Let l be -1 - (2*2)/p. Which is the third smallest value? (a) l (b) i (c) 0.4
c
Let j = -0.12 + 0.32. Which is the smallest value? (a) -3/4 (b) -7 (c) j
b
Let j = 7 - 4. Let l = j - 5. Let g = 1.8 + -0.8. What is the second smallest value in g, l, -2/7?
-2/7
Let t = -0.33 - -0.31. What is the smallest value in 0.2, t, -1/3?
-1/3
Let a be 20/(-70) + 15/28. What is the third biggest value in 2/5, 0, a?
0
Let d = 0 + 5. What is the third smallest value in -1, -17, d, -5?
-1
Let i = 0.427 + -0.027. Let d = 369/146 - 2/73. What is the second smallest value in 1, d, i?
1
Let t = 18 + -10. Let f = -11 + t. What is the second smallest value in f, 1, -2/7?
-2/7
Let v = -412 + 7824/19. Let g = v + -18/95. Let f = 3 - 8. Which is the second smallest value? (a) f (b) -0.2 (c) g
c
Let v = 181/15 + -57/5. Which is the smallest value? (a) -2/13 (b) 1/5 (c) v
a
Let s = 211/3 + -71. Which is the second biggest value? (a) -0.08 (b) -2 (c) s
c
Let x be 6/(-4)*(-4)/21. Let m(q) = -q + 10. Let z be m(8). Suppose z*v + v = 3. Which is the third biggest value? (a) 5 (b) x (c) v
b
Let d = -59 + 294/5. Which is the second smallest value? (a) 2 (b) -0.03 (c) d
b
Suppose -n - 12 = -4*n. Let y = -21 + 26. Which is the smallest value? (a) 0.1 (b) n (c) y
a
Let n = -7 + 4. Let o = 20 - 16. Which is the second biggest value? (a) 0 (b) n (c) o
a
Let a(n) = n**2. Let q be a(0). What is the second biggest value in -2, q, 5, 1/4?
1/4
Let y = 0.1 + -0.3. Let t = -13 - -21. Let q be (5/10)/((-2)/t). What is the smallest value in -0.3, y, q?
q
Let s = 0.1 + -0.1. Let x be 932/(-12) - 1/3. Let j = x - -389/5. What is the second smallest value in -0.5, s, j?
j
Let j = -6.9 - -7. Let z = j - 11.1. What is the smallest value in z, 2/7, -4?
z
Suppose -18*s = -16*s - 10. Which is the third biggest value? (a) -1/5 (b) 4 (c) 2 (d) s
c
Suppose 6 = -q - 2. Let p(z) = z**2 + z. Let k be -1*3*4/6. Let u be p(k). Which is the second biggest value? (a) u (b) 2/7 (c) q
b
Let b be (-3 - -6)/(-2 + 1). Let s = 8 + -8.7. Let m = s + 0.2. What is the smallest value in -1, b, m?
b
Let c = -8 + 9. Let s = c + -0.6. What is the smallest value in -5, -1, s?
-5
Let r = -5 - -5.2. Let h = 3.2 - r. Which is the second biggest value? (a) 0.1 (b) 4 (c) h
c
Let u = -18 + 18. Which is the third smallest value? (a) -2 (b) 1/5 (c) u
b
Let v = -0.09 - -0.49. What is the fourth biggest value in 3/2, 1, 0.5, v?
v
Let w = -3.92 + -0.08. Let f = 10 + -9.3. Let t = f + -0.2. Which is the second biggest value? (a) w (b) t (c) 4
b
Let y = -12.2 - -12. Which is the second smallest value? (a) -0.1 (b) y (c) 0.07
a
Let b(r) = -r**3 + 5*r**2 + 5*r + 7. Let l be b(6). Let v be l*(3/(-30))/1. Let o = -0.2 - 1.8. What is the second biggest value in -0.5, v, o?
-0.5
Let x = 8.23 + 0.27. Let w = -8 + x. Which is the second biggest value? (a) -5 (b) -0.3 (c) w
b
Let k = 0.8 - 0.8. Let q = -14 + 14.1. What is the biggest value in q, -0.5, k?
q
Let h = -7 - -7. Suppose 0*k - k - 4 = h. Which is the second smallest value? (a) 4 (b) -0.5 (c) k
b
Let a = -7.3 + -1.7. Let n = -10 - a. What is the smallest value in n, 3, -1/2?
n
Let a = -9/20 - -1/4. Let v = -3 + 4. Let t = v + -0.7. What is the second biggest value in t, -0.5, a?
a
Let i = 0.028 + 0.072. Let n = -2.3 + -0.7. What is the second smallest value in n, i, 0.4?
i
Suppose -4*r + 8 = -m, 5*r - 10 = -6*m + 2*m. Suppose q + r = t, -2*t + 7*t = -3*q - 22. Which is the second biggest value? (a) q (b) -3/8 (c) 0.4
b
Let j = 22.2 + -22. What is the smallest value in 1, 3, j, 2/9?
j
Let p = 0 - 0.1. Let l(o) = o**3 + o - 1. Let y be l(0). Which is the third biggest value? (a) p (b) y (c) -3
c
Let w(o) = -o**3 + 4*o**2 + 3*o + 11. Let n be w(5). Let d = -8 - -5. Which is the biggest value? (a) n (b) d (c) -4
a
Let w = 1.05 + -0.05. Let p = 1.4 - w. Which is the second smallest value? (a) -2/9 (b) p (c) 2/7
c
Let y = 1 + 0. Suppose 5*q = q. Let u be (q - 0) + 0/2. Which is the second smallest value? (a) y (b) u (c) -4
b
Let y be ((-2)/3 - 7/(-15))*3. What is the third smallest value in 1.3, 0.3, y, 2/19?
0.3
Suppose 5*s + 42 = 2*m - 18, 4*m - 2*s - 88 = 0. Suppose -3*z + 7*z + m = 0. What is the smallest value in 2/17, 0, z?
z
Let z = -5 - -4.8. Let u be (1/(3/6))/(-107). Let f = u + 220/321. What is the biggest value in 0.4, f, z?
f
Let a = 26.1 - 26. What is the second biggest value in a, -0.08, 0.2?
a
Let x be 0 - 10/(-4)*-2. Let r = 4 + -4. | {
"pile_set_name": "DM Mathematics"
} |
ate i.
1562
Let s(j) be the first derivative of -33*j**5/35 - 381*j**4/7 - 5911*j**3/7 - 1587*j**2/7 + 2136. Solve s(q) = 0.
-23, -2/11, 0
Let t(m) be the third derivative of 1/2520*m**8 + 7/450*m**5 - 83*m**2 + 0*m + 0*m**3 + 1/90*m**4 + 1/315*m**7 + 1/100*m**6 + 0. Solve t(s) = 0.
-2, -1, 0
Let k be (3 - 13/3)/((-10)/15 - 0). Let t(d) be the third derivative of 0 + 0*d + 1/32*d**4 + 1/80*d**5 - 19*d**k + 0*d**3. Suppose t(n) = 0. Calculate n.
-1, 0
Let t(d) be the first derivative of 1/4*d**4 - 16*d - 4 + 13*d**2 - 11/3*d**3. Find z, given that t(z) = 0.
1, 2, 8
What is i in 28/3 - 2*i**3 - 2/3*i**4 - 22*i + 46/3*i**2 = 0?
-7, 1, 2
Let h = -6834 + 6838. Let g(u) be the second derivative of 0*u**2 - 1/3*u**h - 1/10*u**5 - 1/3*u**3 + 0 + u. Find q, given that g(q) = 0.
-1, 0
Suppose 2*g + 66 = -5*b, -2*g + 4*g - 32 = 2*b. Find r, given that 27/2 + 4*r**3 - 1/2*r**4 + 0*r - 9*r**g = 0.
-1, 3
Let d be (814/(-77) + 10)/(-13 - 356/(-28)). Solve 1/3*m**d - 53/3*m - 18 = 0 for m.
-1, 54
Let u be -1 + 982*1*(-8)/(-16). Suppose 0 = -14*m - 448 + u. Factor 3/4*l**5 - 1/2 + 13/2*l**m - 6*l**2 + 11/4*l - 7/2*l**4.
(l - 1)**4*(3*l - 2)/4
Let f(p) = -4 + 0 + 0 + 3. Let u be (35/5 + -8)*1*2. Let j(n) = n**2 - n + 9. Let b(g) = u*j(g) - 22*f(g). Let b(m) = 0. Calculate m.
-1, 2
Let q(x) = 18*x**3 + 10*x**2 - 90*x - 94. Let m(i) = 14*i**3 + 10*i**2 - 88*i - 93. Let l(b) = 4*m(b) - 3*q(b). Factor l(o).
2*(o - 5)*(o + 1)*(o + 9)
Suppose -43*v + 324 = 7*v - 14*v. Let f(y) be the first derivative of 4*y - 1/2*y**4 + 3*y**2 + 0*y**3 + v. What is x in f(x) = 0?
-1, 2
Let o = -13 + 24. Let n be (-72)/(-60) - 8/(-10). Factor 7 + 3*p**n - 11 - 5*p**5 + 12*p + p**5 - 8*p**3 + 12*p**4 - o*p**2.
-4*(p - 1)**4*(p + 1)
Let o be (0 + 86/(-7))/(8/36). Let q = -55 - o. Solve 0 - 2/7*z**3 + q*z**4 - 4/7*z**2 + 0*z = 0.
-1, 0, 2
What is x in 505/8*x + 23/4 - 11/8*x**2 = 0?
-1/11, 46
Let d(c) be the second derivative of -1/18*c**6 + 260/9*c**3 + 7/6*c**5 - 160/3*c**2 - 25/3*c**4 - 35*c + 0. Suppose d(g) = 0. What is g?
2, 8
Let d(z) = -z**2 - 15*z - 54. Let u be d(-7). Factor 32 - 27436*a**3 + 2322*a**u + 5909*a**2 - 1375*a + 433*a**2 + 463*a.
-4*(19*a - 2)**3
Let m = 72216 + -72214. Factor -75/4*o - 3*o**m + 63/4.
-3*(o + 7)*(4*o - 3)/4
Let r = 38 - 48. Let m be r/(-5 + (-9)/(-3)). What is v in 88*v - 88*v + 10*v**5 - m*v**4 - 10*v**3 + 20*v**5 = 0?
-1/2, 0, 2/3
Let j(y) be the second derivative of 43*y - 1/24*y**4 - 5*y**2 + 7/4*y**3 + 0. Factor j(d).
-(d - 20)*(d - 1)/2
Factor -1/3*y**4 + 39 - 34/3*y**3 - 90*y + 188/3*y**2.
-(y - 3)*(y - 1)**2*(y + 39)/3
Let z(v) be the second derivative of 0*v**3 + 1/40*v**6 - 3/8*v**4 + 1 + 0*v**2 - 3/16*v**5 - 4*v. Factor z(i).
3*i**2*(i - 6)*(i + 1)/4
Let p(b) be the second derivative of -b**5/100 + 2*b**4/15 + 33*b**3/10 - 81*b**2 - 1386*b. Factor p(d).
-(d - 9)**2*(d + 10)/5
Let q be (24/(-11))/12 - 26562/77. Let r = -2368/7 - q. Let -44/7*g**2 - 2/7*g**4 - r*g - 16/7*g**3 - 18/7 = 0. What is g?
-3, -1
Suppose -2004*v = -3050 - 2962. Factor -3/2*q**4 + 0 + 0*q**2 - 1/2*q**5 - q**v + 0*q.
-q**3*(q + 1)*(q + 2)/2
Let x(g) = -7*g**2 - 1285*g + 10742. Let j be x(8). Factor -j*i - 2/5*i**3 - 98/5 + 26/5*i**2.
-2*(i - 7)**2*(i + 1)/5
Suppose 4*q - 85 = -3*d - 72, 0 = q + 4*d. Let o(r) be the third derivative of 0*r**q + 0*r**3 + 0*r - 1/900*r**6 - 1/450*r**5 + 0 - 3*r**2. Factor o(l).
-2*l**2*(l + 1)/15
Determine w, given that 868/3*w - 144*w**2 - 1/3*w**3 + 0 = 0.
-434, 0, 2
Let h(a) be the first derivative of -4*a**5/5 + 17*a**4/4 + 71*a**3/3 + 21*a**2 - 2713. Find s, given that h(s) = 0.
-2, -3/4, 0, 7
Factor 29/4 - 22*j + 1/4*j**4 - 8*j**3 + 45/2*j**2.
(j - 29)*(j - 1)**3/4
Let j(z) be the second derivative of -z**7/1680 - z**6/60 + 9*z**5/80 + 5*z**4/3 + 18*z. Let o(h) be the third derivative of j(h). Factor o(s).
-3*(s - 1)*(s + 9)/2
Solve -105*q**2 + 70*q**3 - 106*q - 11107*q**4 + 5549*q**4 + 5553*q**4 - 74*q = 0 for q.
-1, 0, 3, 12
Factor 0*v + 2/3*v**3 - 26*v**2 + 0.
2*v**2*(v - 39)/3
Let t(w) be the second derivative of 84*w + 1/21*w**4 - 58/21*w**3 + 0 - 60/7*w**2. Find r such that t(r) = 0.
-1, 30
Suppose 23*n - 45 = -67 + 91. Let j(q) be the first derivative of -3/10*q**4 + 3/5*q + 4/5*q**n - 21 + 1/25*q**5 - q**2. Let j(m) = 0. What is m?
1, 3
Let q(r) be the first derivative of -r**6/1260 + r**5/140 - 9*r**3 - 38. Let a(j) be the third derivative of q(j). Factor a(v).
-2*v*(v - 3)/7
Let u(k) be the first derivative of k**4/22 - 896*k**3/33 + 50621*k**2/11 - 198916*k/11 + 2594. Factor u(o).
2*(o - 223)**2*(o - 2)/11
Let u be ((-13)/(-6) - (-1065)/(-540))*(-8)/(-1). Factor u*x + 10/9*x**2 + 2/3 + 2/9*x**3.
2*(x + 1)**2*(x + 3)/9
Let v = -298 + 154. Let q = -142 - v. Let -2/3*y**q + 2*y**3 - 4/3*y + 0 = 0. What is y?
-2/3, 0, 1
Let g(t) be the third derivative of -t**6/40 - 33*t**5/20 - 42*t**4 - 490*t**3 - 2*t**2 + 87. Factor g(l).
-3*(l + 5)*(l + 14)**2
Let d(b) be the second derivative of -5*b**4/12 - 95*b**3/3 - 1085*b**2/2 - 3079*b. Factor d(i).
-5*(i + 7)*(i + 31)
Suppose -3909 = -2*j - 3*k - 1206, j - 4*k - 1357 = 0. Let h = j - 1351. Determine d so that 2/7*d**2 + h + 16/7*d = 0.
-7, -1
Let y be (-48)/60 + 199/5 + -36. Find x, given that -1/4*x**2 - 27/4 + y*x = 0.
3, 9
Let k(v) be the first derivative of v**3 - 24*v**2 + 45*v - 212. Suppose k(g) = 0. What is g?
1, 15
Let d(s) be the second derivative of 1/13*s**3 + 1/78*s**4 - 2*s - 4/13*s**2 + 26. Determine i, given that d(i) = 0.
-4, 1
Let b be (0 - 12/(-14)) + (240/(-630) - (-18)/21). Factor -32/9*t - b*t**3 - 100/9*t**2 + 0.
-4*t*(t + 8)*(3*t + 1)/9
Let l(q) be the second derivative of -130/3*q**3 + 4 - q - 1/15*q**5 - 338/3*q**2 - 3*q**4. Solve l(o) = 0.
-13, -1
Let x(j) be the third derivative of -j**8/2352 + j**7/98 - 2*j**6/35 + 11*j**5/105 - 2*j**2 + 25. Suppose x(z) = 0. What is z?
0, 2, 11
Let b(h) be the first derivative of -13*h**4/4 - 109*h**3/12 - 31*h**2/4 - 5*h/4 + 1010. Factor b(t).
-(t + 1)**2*(52*t + 5)/4
Suppose 963*b + 1 + 0 = 1. Find h such that -27/7*h**2 - 12/7*h + b*h**3 + 3/7*h**4 + 36/7 = 0.
-2, 1, 3
Find y such that -1560*y - 405 + 2005/4*y**4 + 35/4*y**5 + 6205/4*y**3 - 385/4*y**2 = 0.
-54, -3, -1, -2/7, 1
Let x(k) be the second derivative of -k**4/18 + 4238*k**3/9 - 4490161*k**2/3 - 3533*k. Let x(q) = 0. What is q?
2119
Let r(f) = f**3 + 8*f**2 + 13*f + 1. Let j be r(-3). Suppose -3*k = -2*y - 268, -y = -j + 6. Factor 10*l**4 - 15*l**2 - 5*l**4 - 30*l**2 - 10*l**2 - 40 - k*l.
5*(l - 4)*(l + 1)**2*(l + 2)
Solve -366/19*d**2 + 8/19*d**4 + 250/19*d + 150/19*d**3 - 42/19 = 0 for d.
-21, 1/4, 1
Let u(p) = -4*p**4 - 40*p**3 + 55*p**2 + 11*p. Let x(z) = -2*z**4 - 20*z**3 + 28*z**2 + 6*z. Let j(s) = 6*u(s) - 11*x(s). Solve j(y) = 0 for y.
-11, 0, 1
Let z = 84117 - 84115. Factor 1/4*w**z - 25/2*w + 625/4.
(w - 25)**2/4
Let d(z) be the first derivative of -12*z**3 + 144*z**2 + 208*z - 362. Solve d(k) = 0 for k.
-2/3, 26/3
Let u(t) = 7*t**2 + 20*t + 15. Suppose 0 = 20*v + 71*v + 182. Let l = 3 + -2. Let b(a) = a**2. Let h(k) = l*u(k) + v*b(k). Find y such that h(y) = 0.
-3, -1
Let b(x) be the second derivative of -x**7/84 - 17*x**6/180 - x**5/10 - 3*x**3/2 + 5*x**2/2 - 84*x. Let t(o) be the second derivative of b(o). Factor t(n).
-2*n*(n + 3)*(5*n + 2)
Let i(m) = 14 + m**2 - 7 - 5 - 2*m. Let x be i(0). Factor 2/9*c**3 + 2/3*c**x - 8/9*c + 0.
2*c*(c - 1)*(c + 4)/9
Let k(x) be the first derivative of -x**5/3 - 5*x**4/12 + 80*x**3/9 - 50*x**2/3 + 4394. Find n such that k(n) = 0.
-5, 0, 2
Suppose -6550*j**3 + 45*j**2 - 2529*j + 6551*j**3 + 2655*j = 0. Calculate j.
-42, -3, 0
Let -44376/13 + 44714/13*d**2 - 2/13*d**5 + 13760/13*d - 26*d**4 - 13758/13*d**3 = 0. What is d?
-86, -1, 1, 3
Let l be (-1 - 378/(-180))/((-3)/(-5)). Factor 1/6 + 35/6*r**2 - 25/6*r**3 - l*r.
-(r - 1)*(5*r - 1)**2/6
Factor 208/7*u**2 - 224*u - 2/7*u**3 + 3072/7.
-2*(u - 96)*(u - 4)**2/7
Solve -38*t**2 - 3*t**3 + 10*t**2 - 180 - t + 73*t**2 + 13*t = 0.
-2, 2, 15
Solve -33/8*k**3 + 3/8*k**4 + 3993/8*k + 0 - 363/8*k**2 = 0 for k.
-11, 0, 11
Let i be 196/42*(-72)/(-238). Let g = -86/85 + i. Factor -3/5*t + 1/5*t**3 + 0 + g*t**2.
t*(t - 1)*(t + 3)/5
Let w(x) be the first derivative of 11/8*x**4 + 3 - 1/2*x**5 + 1/4*x**2 - 7/6*x**3 + 0*x. Let w(k) = 0. What is k?
0, 1/5, 1
Suppose -8*d | {
"pile_set_name": "DM Mathematics"
} |
*a - 1. What is c(8)?
15
Let i(y) = 825*y + 4126. Calculate i(-5).
1
Let f(n) = 56*n + 333. What is f(-6)?
-3
Let l(a) = -a**3 + 20*a**2 - 143*a + 380. Give l(8).
4
Let f(g) = g**3 + 77*g**2 - 1809*g - 290. Calculate f(19).
-5
Let d(v) = 584*v + 3512. Determine d(-6).
8
Let y(g) = -11*g**2 - 530*g - 119. Determine y(-48).
-23
Let d(b) = -2*b**2 + 8*b + 17. What is d(5)?
7
Let r(d) = -105*d**3 - 3*d**2 - 11*d - 10. Calculate r(-1).
103
Let c(k) = -5*k**3 - 4*k**2 - 48*k + 139. Give c(3).
-176
Let h(v) = 371*v - 2228. Calculate h(6).
-2
Let h(r) = 2521*r - 15071. Determine h(6).
55
Let i(f) = 16*f**3 + 5*f**2 + 19*f + 15. What is i(-1)?
-15
Let s(v) = 2*v**2 + 148*v + 1686. Give s(-14).
6
Let z(q) = 2*q**3 + 11*q**2 - 14*q + 11. Determine z(-6).
59
Let m(v) = 9*v**2 + 13*v - 158. Calculate m(-5).
2
Let v(t) = 21*t + 128. Calculate v(-4).
44
Let j(t) = 61*t + 532. Give j(-9).
-17
Let y(i) = 3*i**2 - 10. What is y(0)?
-10
Let k(a) = 3*a**2 + 114*a - 375. Determine k(3).
-6
Let a(p) = p**3 + 8*p**2 + 20*p + 92. Calculate a(-7).
1
Let u(d) = 2*d**2 - 48*d + 277. Calculate u(9).
7
Let j(k) = 2*k**2 - 1467*k + 1465. Give j(1).
0
Let o(t) = -t**3 - 29*t**2 - 204*t + 46. What is o(-16)?
-18
Let a(c) = 27*c**2 + 45*c - 8. Determine a(-3).
100
Let x(l) = 43*l**3 - 5*l**2 + 11*l - 7. Calculate x(1).
42
Let p(b) = -18019*b - 216226. Calculate p(-12).
2
Let y(f) = -f**2 + 72*f - 1065. Determine y(21).
6
Let q(u) = 4722*u + 118039. Determine q(-25).
-11
Let l(a) = -12*a**2 - 14*a + 46. What is l(3)?
-104
Let g(b) = 211*b - 809. What is g(4)?
35
Let v(z) = z**2 + 21*z + 79. Determine v(-17).
11
Let l(g) = -g**2 + 330*g - 19467. Determine l(77).
14
Let w(x) = 2*x**3 + 56*x**2 + 5*x - 145. Give w(-28).
-285
Let g(z) = -133*z - 553. What is g(-11)?
910
Let g(u) = 62*u + 874. Determine g(-17).
-180
Let v(k) = -4*k**3 - 13*k**2 - 35*k + 9. Give v(-4).
197
Let y(o) = -81*o + 40. Give y(-2).
202
Let h(j) = -8*j + 86. Determine h(-6).
134
Let x(c) = 11*c + 66. Calculate x(-6).
0
Let w(p) = -p**3 - 25*p**2 - 101*p - 1843. Calculate w(-24).
5
Let h(y) = 96*y + 240. Calculate h(-2).
48
Let z(w) = 3*w**3 - 153*w**2 - 5*w + 264. What is z(51)?
9
Let o(n) = -3*n**3 - 77*n**2 + 29*n + 83. Calculate o(-26).
5
Let h(y) = 9*y - 120. What is h(-8)?
-192
Let b(m) = m**3 - 12*m**2 - 30*m + 308. What is b(10)?
-192
Let y(z) = 1376*z + 1403. Calculate y(-1).
27
Let r(f) = f**3 + 131*f**2 + 1097*f - 111. Determine r(-122).
11
Let g(t) = 127*t + 5712. Give g(-45).
-3
Let z(x) = -x**2 - 129*x + 4381. Calculate z(28).
-15
Let j(p) = -189*p - 4436. Give j(-24).
100
Let u(a) = 3*a**3 + 14*a**2 + 55*a + 714. Give u(-7).
-14
Let p(x) = -x**3 + 20*x**2 + 9*x - 304. Determine p(20).
-124
Let p(j) = -20*j - 63. Give p(-12).
177
Let c(x) = 136*x - 2978. What is c(22)?
14
Let h(u) = 3*u**3 - 275*u**2 - 70*u - 2020. Calculate h(92).
4
Let r(x) = -234*x - 19460. What is r(-83)?
-38
Let x(t) = t**2 - 47*t - 157. Calculate x(-3).
-7
Let q(k) = 3*k**3 + 347*k**2 - 114*k + 194. Determine q(-116).
-38
Let s(m) = -5*m**3 - 59*m**2 + 39*m + 324. Give s(-12).
0
Let c(r) = 4*r**2 + 806*r - 2422. Give c(3).
32
Let q(s) = s**2 + 42*s - 245. Determine q(-47).
-10
Let b(y) = 80*y - 760. What is b(9)?
-40
Let a(z) = 3*z**2 + 156*z + 773. What is a(-5)?
68
Let j(n) = -10*n**2 + 427*n + 56. Give j(43).
-73
Let n(c) = -67*c - 546. Determine n(-8).
-10
Let a(f) = f**3 + 8*f**2 - 185*f - 1486. Give a(-8).
-6
Let y(r) = 2*r - 116. Determine y(64).
12
Let p(w) = -2*w**3 + 39*w**2 - 18*w + 12. What is p(19)?
31
Let j(r) = r**2 + 12*r - 14. Give j(-5).
-49
Let k(h) = 222*h + 3115. Calculate k(-14).
7
Let c(j) = -2*j**3 - 17*j**2 - 28*j - 64. Determine c(-7).
-15
Let i(c) = 6*c**2 - 60*c + 225. What is i(4)?
81
Let n(o) = -6*o**2 + 277*o - 68. Determine n(46).
-22
Let q(h) = h**3 - 71*h**2 - 2*h + 147. Give q(71).
5
Let j(y) = -y**2 + 114*y + 1241. Calculate j(-10).
1
Let f(g) = 266*g + 2185. Determine f(-8).
57
Let a(r) = -r**2 - 55*r + 2686. What is a(31)?
20
Let r(c) = -c**3 - 116*c**2 + 991*c - 164. What is r(-124)?
-40
Let v(o) = -o**2 + 40*o + 224. Determine v(45).
-1
Let p(o) = 8*o**2 - 161*o + 803. What is p(10)?
-7
Let f(u) = -u**2 + 199*u - 2036. Calculate f(11).
32
Let b(x) = 3*x - 38. Give b(20).
22
Let y(t) = 46*t + 3637. Calculate y(-83).
-181
Let u(c) = -6388*c - 76652. Calculate u(-12).
4
Let l(n) = -42*n - 1841. Calculate l(-44).
7
Let y(l) = -l**2 - 2980*l + 14937. Calculate y(5).
12
Let s(l) = -l**3 - 9*l**2 + 57*l - 62. Give s(-9).
-575
Let c(w) = w**3 - 9*w**2 - 17*w - 17. What is c(13)?
438
Let p(s) = 5*s**2 + 180*s - 575. Determine p(-39).
10
Let w(s) = -10*s**2 - 110*s - 11. What is w(-12)?
-131
Let s(y) = y**2 + 15*y - 282. Calculate s(-25).
-32
Let b(z) = -19*z**2 - 95*z - 21. What is b(-4)?
55
Let h(t) = 67*t**2 + 332*t + 26. Calculate h(-5).
41
Let q(j) = -15*j**2 - 5*j + 19. Determine q(0).
19
Let w(z) = -202*z - 3032. Give w(-15).
-2
Let s(h) = h**3 - 35*h**2 + 8*h - 282. What is s(35)?
-2
Let w(x) = x**2 - 12*x + 14. Determine w(-6).
122
Let p(i) = 12*i + 751. What is p(-54)?
103
Let m(s) = -297*s + 17227. What is m(58)?
1
Let o(n) = -75*n - 4884. Give o(-66).
66
Let n(j) = -j**3 - 140*j**2 - 99*j + 5566. Calculate n(-139).
6
Let a(o) = -o**3 - 29*o**2 - 2*o - 30. Give a(-29).
28
Let w(h) = -3*h - 72. Give w(-13).
-33
Let r(k) = -265*k**2 + 2*k - 1. Give r(1).
-264
Let x(w) = 35*w - 14. Calculate x(-19).
-679
Let k(t) = t**2 - 28*t + 65. Determine k(22).
-67
Let r(a) = 7*a + 890. Calculate r(-66).
428
Let u(s) = s**3 - 101*s**2 - 311*s + 87. Calculate u(104).
191
Let f(x) = -2*x - 108. Give f(-1).
-106
Let b(p) = 2*p**3 - 112*p**2 - 357*p + 183. Calculate b(59).
6
Let v(w) = 51*w**2 + 2*w. Determine v(-1).
49
Let z(y) = -y**2 - 71*y + 780. What is z(10)?
-30
Let p(s) = -s**2 - 6*s + 1019. Determine p(29).
4
Let o(a) = -34*a - 674. Calculate o(-24).
142
Let t(q) = -9*q**3 - 2*q**2 - q - 3. Calculate t(-2).
63
Let j(g) = 5*g**2 + 57*g + 171. What is j(-7)?
17
Let o(b) = -b**3 - 75*b**2 - 27*b - 2. What is o(0)?
-2
Let a(r) = 67*r + 724. Give a(-21).
-683
Let j(w) = -w**3 - 6*w**2 + 77*w + 59. Give j(-12).
-1
Let n(w) = -w**2 - 10*w - 7. What is n(-9)?
2
Let y(n) = n**3 - 16*n**2 + 19*n + 29. Determine y(12).
-319
Let p(d) = 11*d - 62. Calculate p(7).
15
Let m(o) = -212*o**2 + 226*o + 226. Calculate m(-1).
-212
Let n(u) = -123*u**2 - 8*u - 1. Give n(-1).
-116
Let p(i) = 1294*i - 10335. Determine p(8).
17
Let b(i) = -2*i**2 + 145*i + 15. Determine b(70).
365
Let j(b) = 45*b - 1506. Determine j(33).
-21
Let p(d) = -85*d**2 - 2465*d - 9. Determine p(-29).
-9
Let t(s) = -s**2 - 11*s + 106. Determine t(-18).
-20
Let h(u) = u**2 + 21*u + 73. Determine h(-12).
-35
Let v(d) = 760*d + 10640. Determine v(-14).
0
Let q(n) = 10*n + 27. What is q(-1)?
17
Let r(q) = 563*q + 6756. Give r(-12).
0
Let a(p) = -180*p - 61. Determine a(-3).
479
Let f(u) = 103*u - 2074. What is f(20)?
-14
Let a(w) = -2*w**2 - 34*w - 15. Calculate a(-18).
-51
Let t(x) = -104*x + 1664. Give t(16).
0
Let r(i) = 3*i**3 - 99*i**2 - 105*i + 93. What is r(34)?
-9
Let c(l) = 373*l + 9332. Give c(-25).
7
Let l(r) = -16*r**2 - 230*r + 5. What is l(-14)?
89
Let x(p) = -3391*p - 3371. Determine x(-1).
20
Let p(w) = -w**3 - 46*w**2 + 92*w - 97. Calculate p(-48).
95
Let n(y) = 76*y**3 - 1139*y**2 - 21*y + 87. What is n(15)?
-3
Let u(f) = -f**2 - 41*f + 186. Give u(-47).
-96
Let d(n) = 302*n + 91500. Give d(-303).
-6
Let x(d) = 104*d + 20459. Give x(-197).
-29
Let u(y) = -y**3 + 39*y**2 - 169*y + 126. Calculate u(34).
160
Let h(y) = 2*y**2 - 298*y + 2490. Determine h(9).
-30
Let m(k) = k**3 + 13*k**2 - 10*k - 29. What is m(-13)?
101
Let u(d) = -d**3 + 14*d**2 + 143*d - 1. What is u(-7)?
27
Let b(n) = -4*n**3 - 296*n**2 + 603*n - 382. What is b(-76)?
-2
Let p(w) = 1001*w + 113110. Give p(-113).
-3
Let o(x) = -x**3 - 24*x**2 + 93*x + 40. Determine o(-28).
572
Let m(v) = v**2 - 20*v - 133. Determine m(26).
23
Let f(x) = x**3 + 7*x**2 - 6*x - 147. Determine f(-6).
-75
Let o(p) = -753*p - 407379. Give o(-541).
-6
Let s(l) = 14*l + 92. Determine s(-7).
-6
Let p(n) = -101*n - 493. What is p(-5)?
12
Let s(r) = 18*r + 38. Determine s(-7).
-88
Let d(h) = h**3 - h**2 + 415*h - 1247. Determine d(3).
16
Let x(p) = 38*p + 929. Calculate x(-23).
55
Let g( | {
"pile_set_name": "DM Mathematics"
} |
Factor d**4/2 + 1375*d**3/2 + 2059*d**2 + 1372*d.
d*(d + 1)*(d + 2)*(d + 1372)/2
Factor 5*y**3 - 140*y**2 - 16265*y + 275600.
5*(y - 65)*(y - 16)*(y + 53)
Factor 11*r**3 + 48381*r**2 + 61558*r.
r*(r + 4397)*(11*r + 14)
Suppose -2*c**2 + 2836*c + 63360 = 0. What is c?
-22, 1440
Suppose 2645*g**2 - 307740*g + 8951220 = 0. What is g?
1338/23
Find g, given that 5*g**5 - 15*g**4 - 1325*g**3 + 12635*g**2 - 34560*g + 29260 = 0.
-19, 2, 7, 11
Factor -15*a**3 + 6020*a**2 - 31705*a + 9900.
-5*(a - 396)*(a - 5)*(3*a - 1)
What is h in 3*h**4/4 + 277*h**3 - 1304*h**2 + 1868*h - 748 = 0?
-374, 2/3, 2
Factor 342*o**3 + 692*o**2 + 358*o + 8.
2*(o + 1)**2*(171*o + 4)
Find t such that -4*t**2 + 40656*t - 284396 = 0.
7, 10157
Factor 2*c**3/15 + 2498*c**2/5 + 2346234*c/5 + 7001282/3.
2*(c + 5)*(c + 1871)**2/15
Factor -z**3/8 - 35*z**2/4 - 797*z/8 - 91.
-(z + 1)*(z + 13)*(z + 56)/8
Factor k**5/8 + 437*k**4/2 + 399851*k**3/4 + 7827981*k**2/2 + 320875569*k/8.
k*(k + 21)**2*(k + 853)**2/8
Factor u**2/3 + 21982*u/3 + 120802081/3.
(u + 10991)**2/3
Let -2*u**2 - 3539832*u - 1566301323528 = 0. What is u?
-884958
Factor -b**4/6 - 18121*b**3/3 - 72981318*b**2 - 882270851327*b/3 - 8811765845195/6.
-(b + 5)*(b + 12079)**3/6
Solve -3*w**2/2 - 86919*w/2 - 43458 = 0.
-28972, -1
Factor 3*u**2 - 2415450*u + 486199891875.
3*(u - 402575)**2
What is c in -c**5 - 247*c**4 + 2023*c**3 - 4325*c**2 + 2550*c = 0?
-255, 0, 1, 2, 5
What is u in -u**3/2 - 2991*u**2/2 - 2273439*u/2 - 54982225/2 = 0?
-1483, -25
Factor -2*m**3/3 + 32582*m**2 - 65162*m + 97742/3.
-2*(m - 48871)*(m - 1)**2/3
Factor 3*a**3 + 207*a**2 - 6168*a + 16560.
3*(a - 20)*(a - 3)*(a + 92)
What is a in 3*a**2 - 765*a - 39468 = 0?
-44, 299
Factor 2*n**3 - 5046*n**2 - 163458*n - 158410.
2*(n - 2555)*(n + 1)*(n + 31)
Determine v, given that v**4/3 - 2258*v**3/3 + 424879*v**2 + 9032*v/3 - 5098564/3 = 0.
-2, 2, 1129
Suppose 2*h**3/3 - 423350*h**2/3 + 7467788162*h - 7467647046 = 0. Calculate h.
1, 105837
Factor -v**4 + 36*v**3 - 292*v**2 + 864*v - 832.
-(v - 26)*(v - 4)**2*(v - 2)
What is x in -2*x**4/17 - 2986*x**3/17 - 199756*x**2/17 - 763256*x/17 - 751344/17 = 0?
-1423, -66, -2
Factor -5*a**4 - 10840*a**3 - 5820830*a**2 + 59023800*a - 148240125.
-5*(a - 5)**2*(a + 1089)**2
Factor -2396*u**2/7 + 4780*u/7 + 24/7.
-4*(u - 2)*(599*u + 3)/7
Factor -l**2/8 - 12439*l/2 - 154728721/2.
-(l + 24878)**2/8
Factor 3*d**3 + 81*d**2 - 3927*d + 10971.
3*(d - 23)*(d - 3)*(d + 53)
What is b in -3*b**2 - 456*b + 5904 = 0?
-164, 12
Factor -2*i**2 - 15222*i + 15224.
-2*(i - 1)*(i + 7612)
Factor y**4/9 - 28*y**3/9 - 10*y**2 - 92*y/9 - 31/9.
(y - 31)*(y + 1)**3/9
Find c such that -40*c**5 - 3132*c**4 - 67696*c**3 - 250908*c**2 - 288304*c - 65712 = 0.
-37, -2, -3/10
Determine c so that 2*c**4/3 - 20630*c**3/3 + 82498*c**2/3 - 103114*c/3 + 13748 = 0.
1, 2, 10311
Find x, given that -24*x**3 + 212*x**2 + 9124*x - 9312 = 0.
-97/6, 1, 24
Suppose 4*p**5/5 - 74868*p**4/5 - 74896*p**3/5 + 449216*p**2/5 + 59904*p - 598976/5 = 0. What is p?
-2, 1, 2, 18718
Find g, given that -3*g**2/5 - 5847*g/5 + 11706/5 = 0.
-1951, 2
Solve -3*a**5/2 - 870*a**4 - 170169*a**3 - 11594082*a**2 - 143698659*a/2 + 83614452 = 0.
-191, -8, 1
Factor -85*h**3/4 + 3569*h**2/2 + 7393*h/4 + 85/2.
-(h - 85)*(h + 1)*(85*h + 2)/4
What is d in 4*d**2 - 16752*d + 233744 = 0?
14, 4174
Suppose 3*a**5/2 - 2523*a**4/2 + 534009*a**3/2 - 1399569*a**2/2 - 18739356*a - 46348104 = 0. Calculate a.
-4, 11, 419
Find z such that -z**5 - 625*z**4 + 2514*z**3 - 1262*z**2 - 2513*z + 1887 = 0.
-629, -1, 1, 3
Find w, given that 5*w**5 + 3720*w**4 + 995260*w**3 + 110857600*w**2 + 4151562240*w + 7867596800 = 0.
-224, -70, -2
Determine i, given that -25*i**5 + 3910*i**4 - 34110*i**3 - 63880*i**2 - 9665*i + 16170 = 0.
-1, 2/5, 11, 147
Find d, given that -4*d**5 - 1020*d**4 + 1032*d**3 + 2048*d**2 = 0.
-256, -1, 0, 2
Determine t, given that t**2/9 - 115768*t/3 + 3350557456 = 0.
173652
Factor 12*b**4 + 152932*b**3 + 50976*b**2.
4*b**2*(b + 12744)*(3*b + 1)
Factor t**2/8 - 3893*t/8 - 3897/2.
(t - 3897)*(t + 4)/8
Factor -4*h**3 - 3768*h**2 - 7520*h.
-4*h*(h + 2)*(h + 940)
Let 128*t**4/9 + 416*t**3/3 - 9598*t**2/9 - 20540*t/3 + 312050/9 = 0. Calculate t.
-79/8, 5
Determine w so that 8*w**4 - 450*w**3 + 80*w**2 + 1800*w - 448 = 0.
-2, 1/4, 2, 56
Suppose -7*d**3/3 - 4*d**2/3 + 28*d/3 + 16/3 = 0. What is d?
-2, -4/7, 2
Factor 33*g**2/2 - 3147*g - 6360.
3*(g + 2)*(11*g - 2120)/2
Let -6*i**3/5 + 4473*i**2/5 + 3144*i + 6741/5 = 0. Calculate i.
-3, -1/2, 749
Factor 3*b**3/4 + 13203*b**2/4 + 3579948*b - 114172752.
3*(b - 31)*(b + 2216)**2/4
Let -11*h**3/2 + 289*h**2/3 - 97*h/2 + 17/3 = 0. What is h?
2/11, 1/3, 17
Factor -6*h**2/5 + 393*h + 1995.
-3*(h + 5)*(2*h - 665)/5
Solve 20*x**2 - 382905*x + 95725 = 0.
1/4, 19145
Solve a**4/5 - 154*a**3/5 + 6373*a**2/5 - 34188*a/5 + 49284/5 = 0 for a.
3, 74
Factor 5*n**2 - 192330*n - 192335.
5*(n - 38467)*(n + 1)
Find p, given that p**3/2 - 235*p**2/2 + 12847*p/2 + 13083/2 = 0.
-1, 89, 147
Factor u**2/4 - 3859*u/4 - 8703.
(u - 3868)*(u + 9)/4
Let -2*r**3/5 + 3742*r**2/5 - 7454*r + 18610 = 0. Calculate r.
5, 1861
Suppose -2*q**4/13 + 1328*q**3/13 + 4002*q**2/13 + 8*q/13 - 5336/13 = 0. Calculate q.
-2, 1, 667
Factor -5*o**2 - 3450*o + 60095.
-5*(o - 17)*(o + 707)
Factor 48*p**2 - 7436*p - 620.
4*(p - 155)*(12*p + 1)
Find g such that g**5 - 87*g**4/2 + 965*g**3/2 - 375*g**2/2 - 967*g/2 + 231 = 0.
-1, 1/2, 1, 21, 22
Suppose 2*y**2/7 + 176*y/7 - 1746/7 = 0. What is y?
-97, 9
Suppose 5*m**4/3 - 23*m**3 + 64*m**2/3 = 0. Calculate m.
0, 1, 64/5
Factor c**2 + 92436*c + 2136103524.
(c + 46218)**2
Factor o**2 + 157424*o + 6195578944.
(o + 78712)**2
Factor -3*q**2/7 - 115788*q/7 + 347391/7.
-3*(q - 3)*(q + 38599)/7
Factor -5*y**2 - 99505*y - 99500.
-5*(y + 1)*(y + 19900)
Factor -v**2/6 - 387275*v/3 - 149981925625/6.
-(v + 387275)**2/6
Find v, given that v**3/4 + 450561*v**2/4 + 12687882240*v + 12687769600 = 0.
-225280, -1
Solve -5*a**4 + 1365*a**3 - 10675*a**2 + 19875*a = 0.
0, 3, 5, 265
Factor -4*l**5 - 4736*l**4 - 1382720*l**3 + 11366912*l**2.
-4*l**2*(l - 8)*(l + 596)**2
Suppose -4*p**2 + 3268*p + 36432 = 0. Calculate p.
-11, 828
Solve -2*k**2 - 6830*k + 1084368 = 0.
-3567, 152
Let 3*f**3 + 565*f**2 - 2116*f - 768 = 0. What is f?
-192, -1/3, 4
Factor -4*h**2 + 80536*h - 405377956.
-4*(h - 10067)**2
What is p in -2*p**3/19 + 108906*p**2/19 + 217818*p/19 + 108910/19 = 0?
-1, 54455
Let -4*d**3 + 324*d**2 - 3152*d + 5040 = 0. Calculate d.
2, 9, 70
Factor -3*z**4/2 + 72255*z**3/2 - 144501*z**2/2 + 72249*z/2.
-3*z*(z - 24083)*(z - 1)**2/2
What is n in 21*n**2 + 157*n + 70 = 0?
-7, -10/21
Factor -4*y**2 + 20854*y - 31272.
-2*(y - 5212)*(2*y - 3)
Let -c**4 + 33*c**3 + 504*c**2 + 1588*c + 1440 = 0. Calculate c.
-8, -2, 45
Factor -2*m**3 + 946*m**2 + 17612*m + 31424.
-2*(m - 491)*(m + 2)*(m + 16)
Factor 3*s**3 - 1930953*s**2 + 310715922825*s - 310713991875.
3*(s - 321825)**2*(s - 1)
Factor 2*d**2/3 - 227504*d + 19409276256.
2*(d - 170628)**2/3
Solve 3*c**3 - 2343*c**2 + 328428*c + 666252 = 0.
-2, 186, 597
Factor 4*q**3 - 5828*q**2 + 23260*q - 17436.
4*(q - 1453)*(q - 3)*(q - 1)
Find i such that 3*i**3 - 417*i**2 - 4104*i + 15984 = 0.
-12, 3, 148
Suppose 2*n**2/11 + 292*n + 334656/11 = 0. Calculate n.
-1494, -112
Solve 4*z**2 + 51044*z - 51048 = 0.
-12762, 1
Suppose g**5/2 + 81*g**4 + 617*g**3 + 114*g**2 - 12395*g/2 - 5775 = 0. What is g?
-154, -5, -1, 3
Suppose 60*s**2 + 224*s + 208 = 0. Calculate s.
-2, -26/15
Factor 2*h**4 + 2288*h**3 + 667952*h**2 + 7770048*h + 23065632.
2*(h + 6)**2*(h + 566)**2
Let -3*u**4 + 351*u**3 + 714*u**2 = 0. Calculate u.
-2, 0, 119
Determine p so that 3*p**3 + 3636*p**2 - 156681*p + 1659042 = 0.
-1254, 21
Find q, given that -4*q**4 - 60*q**3 + 1552*q**2 + 6912*q = 0.
-27, -4, 0, 16
What is t in t**3/3 - 7*t**2/3 + 8*t/3 + 16/3 = 0?
-1, 4
Let -d**2/3 + 1148*d/3 - 4576/3 = 0. What is d?
4, 1144
Determine k, given that 793*k**2 - 27757*k + 70 = 0.
2/793, 35
Solve -2*j**5/15 + 4*j**4/5 + 6*j**3 - 124*j**2/3 + 104*j/5 + 336/5 = 0.
-7, -1, 2, 6
What is f in f**4/9 - 20320*f**3/9 - 33874*f**2/3 - 6776*f + 20325 = 0?
-3, 1, 20325
Find s, given that -2*s**4/7 - 1566*s**3/7 - 443610*s**2/7 - 54455274*s/7 - 2460043548/7 = 0.
-306, -159
Determine d so that 5*d**4 - 27995*d**3 + 167835* | {
"pile_set_name": "DM Mathematics"
} |
Is -261 smaller than -269?
False
Is 3482.5 < 2?
False
Is -1 < 219?
True
Which is smaller: -1/2 or -14.7?
-14.7
Which is bigger: -2 or -0.8?
-0.8
Which is smaller: 1/1577 or -1?
-1
Which is smaller: -2/7 or -28/29?
-28/29
Which is smaller: -2734 or -2736?
-2736
Is -98 > 5/3?
False
Is -46 equal to -45?
False
Which is smaller: -1/4 or -5908/5?
-5908/5
Which is smaller: -1 or 24/437?
-1
Which is bigger: 1 or 1/184?
1
Which is bigger: -1398 or -3?
-3
Which is bigger: 0 or -22/9?
0
Which is bigger: 11 or 13?
13
Which is greater: 109 or -38?
109
Is 1 at most -12814?
False
Which is smaller: -7952 or -7951?
-7952
Is -10 <= -142/13?
False
Which is smaller: -50 or -0.013?
-50
Which is smaller: 96 or 484/5?
96
Which is smaller: -529 or 6?
-529
Which is smaller: -48 or 39?
-48
Is 2154 >= 2154?
True
Is 1 bigger than 4/119?
True
Is 2822 < 2830?
True
Which is greater: 172 or 170?
172
Which is bigger: -344/123 or -2?
-2
Is -0.1 greater than or equal to 21?
False
Which is bigger: -7/65 or -1?
-7/65
Are -25/342 and 1 equal?
False
Is 39 not equal to 65?
True
Is -1/205 > 0?
False
Is 1197 < 1196?
False
Is 673 at most 673?
True
Which is smaller: 1137 or 1133?
1133
Are 19/13 and -6/13 non-equal?
True
Are -139/10 and -14 equal?
False
Is -169 less than -169?
False
Is -362 > -363?
True
Is -102 bigger than -98?
False
Which is smaller: -154 or -203?
-203
Which is bigger: 338/5 or 67?
338/5
Is 1/5 at least as big as 6.49?
False
Is 293 at least 294?
False
Is 0.3 greater than 850?
False
Is 3/94 at most 3/7?
True
Is 2858 != 2858?
False
Do 1321 and 1319 have different values?
True
Is -29 > -1/3?
False
Is 1 > 2/1335?
True
Which is smaller: 16/33 or 0?
0
Is -0.17 > 4?
False
Which is smaller: -58 or -176/3?
-176/3
Which is smaller: -15/1289 or 1?
-15/1289
Are 31 and 38 equal?
False
Is 1/2 equal to 76?
False
Are -286 and -289 equal?
False
Is 0 bigger than 5/13274?
False
Which is greater: -28/433 or -1?
-28/433
Which is bigger: 5108 or 5109?
5109
Is -4810 bigger than -1?
False
Are 0 and 1/14610 non-equal?
True
Is -13/2 at least -181?
True
Is 12/679 greater than -1?
True
Which is smaller: 3/7 or -38/21?
-38/21
Is 5 <= 36/7?
True
Which is greater: 539 or 1?
539
Which is smaller: -380 or -372?
-380
Is 5 at least 7.3?
False
Which is bigger: 3 or 2629?
2629
Is -1 at most as big as -19/1352?
True
Which is smaller: -3/7 or 4?
-3/7
Do 1 and -544 have different values?
True
Are -647 and -646 unequal?
True
Which is greater: 375 or -7?
375
Which is bigger: -892/11 or -81?
-81
Which is smaller: -1472 or -1471?
-1472
Is 189 >= 189?
True
Is 0 greater than or equal to 26/69?
False
Is 227 greater than 227?
False
Is -2 at most as big as 114?
True
Which is smaller: 1 or 1/776?
1/776
Which is greater: 412 or 415?
415
Which is smaller: 1 or -1?
-1
Which is bigger: 0 or -110/29?
0
Is 4592 equal to 4592?
True
Do -45/22 and -1 have the same value?
False
Do 10/1319 and 0 have the same value?
False
Which is smaller: -1 or -130?
-130
Which is smaller: 4005 or -1?
-1
Do -5/1212 and 0 have the same value?
False
Are 19/110 and -2/3 non-equal?
True
Is 0 smaller than 211.1?
True
Which is smaller: 42 or 1278/31?
1278/31
Is -1081/5 equal to -1/2?
False
Which is bigger: 0.1 or -1/1216?
0.1
Is -1 greater than or equal to 13/136?
False
Which is bigger: -2593/17 or -154?
-2593/17
Are 1 and 0.02 non-equal?
True
Which is bigger: -33 or -37?
-33
Is 21 < 1038/47?
True
Do 4011/2 and 2006 have different values?
True
Which is smaller: -1 or -12508?
-12508
Are -57 and -57 nonequal?
False
Which is smaller: 287/8 or 36?
287/8
Do 1 and -48/107 have the same value?
False
Is 27 smaller than 28?
True
Which is smaller: 240 or 241?
240
Is -11/19 at least -1?
True
Is 0 greater than or equal to 11/20?
False
Do 0 and -1/1030 have different values?
True
Is -0.075 less than -1/4?
False
Is -4/71 greater than 1?
False
Which is smaller: 3/28 or -1?
-1
Which is smaller: 16/15 or -5/4?
-5/4
Is -0.16 > -4/5?
True
Is 40/11 > 3?
True
Is 417 at least as big as 417?
True
Is 66 greater than or equal to 329/5?
True
Is -24/17 > 4/7?
False
Which is bigger: -1694 or -1692?
-1692
Is 66 >= 0.3?
True
Do 61 and 306/5 have the same value?
False
Which is bigger: -10/6011 or 0?
0
Which is smaller: -13 or -11?
-13
Which is smaller: 13/92 or 0?
0
Is 53 != 33?
True
Do -7962 and -1 have the same value?
False
Is 61 smaller than 62?
True
Is 263 > 264?
False
Which is bigger: 3/1132 or 1?
1
Is 4/4605 != 0?
True
Which is greater: 1009 or 1007?
1009
Is 3 > 8/5?
True
Is -2/3223 >= 1?
False
Which is smaller: 1 or 19/65?
19/65
Which is greater: 0.1 or -0.145?
0.1
Which is smaller: -5/249 or -1?
-1
Is -5/2 greater than -1.7?
False
Which is greater: 1382 or 1380?
1382
Which is smaller: 139 or 143?
139
Is -3/406 equal to 0?
False
Which is bigger: -19 or -252/13?
-19
Which is smaller: -0.3 or -2?
-2
Which is smaller: 500 or 498?
498
Is -43 bigger than -724/17?
False
Is -12/535 greater than 1?
False
Is -385 at most as big as -387?
False
Is 0 not equal to 16/751?
True
Do -3/38 and 0.11 have the same value?
False
Which is greater: 820 or 822?
822
Is -22 at least as big as -20?
False
Which is smaller: -16/571 or 1?
-16/571
Which is smaller: -7776 or 1?
-7776
Are 95 and 96 non-equal?
True
Is -3 less than or equal to -19/9?
True
Is -815/4 at least as big as -204?
True
Is 43 equal to 42?
False
Which is bigger: 19 or -0.324?
19
Is -101 less than -399/4?
True
Do 5565 and 5565 have the same value?
True
Is 1/176 >= -0.2?
True
Is -79 less than or equal to -80?
False
Which is smaller: 306 or 305?
305
Are 1 and 6/1007 unequal?
True
Is -2 >= -9/17?
False
Which is smaller: 28 or 30?
28
Which is bigger: -2/11 or 1033?
1033
Which is greater: -7904 or -7905?
-7904
Is 1037 >= 1029?
True
Which is greater: 700 or 698?
700
Is 0 smaller than 0.64?
True
Which is smaller: 0.1 or 0.512?
0.1
Which is bigger: 69 or 348/5?
348/5
Which is bigger: 1024/3 or 342?
342
Which is smaller: -2/31 or -14?
-14
Is -130 bigger than -128?
False
Which is smaller: 294 or 293?
293
Which is bigger: -3/13673 or 0?
0
Is -1773 greater than -1772?
False
Which is smaller: 11626 or 11628?
11626
Is 0.4 less than 1/100?
False
Which is greater: -1/308 or 52/5?
52/5
Is -1393 equal to -1392?
False
Is 1 less than -1301?
False
Do 0 and -42/157 have the same value?
False
Is -269 less than -286?
False
Which is smaller: -0.5 or 34?
-0.5
Is -23/7 at most -2?
True
Are 260 and 259 equal?
False
Which is bigger: 0 or 0.045?
0.045
Is 434 less than or equal to 434?
True
Is 49 at most 0.1?
False
Is -72/251 equal to -0.4?
False
Which is smaller: 0 or 17/86?
0
Which is greater: 1.0993 or 2/9?
1.0993
Which is greater: -4320 or 0?
0
Are 0 and 2/1757 unequal?
True
Which is smaller: 6/2449 or 1?
6/2449
Which is smaller: 2878 or 2877?
2877
Is 11 < 59/6?
False
Which is bigger: 153 or 146?
153
Do -0.18 and -3/8 have the same value?
False
Which is greater: -0.37 or -247?
-0.37
Is 294 != 295?
True
Is -38 not equal to -113?
True
Is 0.64 greater than or equal to 81?
False
Which is smaller: -2/611 or -0.1?
-0.1
Which is bigger: 3/7 or 21?
21
Which is smaller: -1.195 or -0.1?
-1.195
Is 4211 at most as big as 4211?
True
Which is bigger: 0.09 or 0.07?
0.09
Which is greater: 4/5 or -44?
4/5
Which is smaller: -4647 or -1?
-4647
Is 157 less than 157?
False
Which is smaller: 0.153 or 1?
0.153
Which is smaller: -0.1 or -13/25?
-13/25
Which is bigger: 0 or -2/27?
0
Which is smaller: 170 or 171?
170
Which is greater: 15/23 or 1?
1
Which is greater: 169/62 or 4?
4
Which is bigger: -4499 or -0.1?
-0.1
Which is smaller: -0.6 or -127?
-127
Is -40 bigger than -35?
False
Is -0.2 smaller than -81?
False
Is -1/785 <= 1?
True
Which is greater: -35 or -40?
-35
Which is smaller: 3/70 or -1?
-1
Which is smaller: -72/2017 or 1?
-72/2017
Which is bigger: 44 or 24?
44
Is 300/77 at most as big as 3?
False
Is 2 smaller than -45?
False
Is 54 > 499/9?
False
Which is greater: 202 or 205?
205
Is -1 at least -207/109?
True
Is 845 > -0.1?
True
Which is smaller: 4553 or 4552?
4552
Do -6.4 and 2/17 have different values?
True
Which is greater: -3/4 or 328?
328
Which is smaller: -40 or -36?
-40
Are 1 and 8941 non-equal?
True
Which is bigger: 30 or 9?
30
Is -14 greater than or equal to -7?
False
Which is smaller: 3 or 5714?
3
Do -1 and -4/5175 have different values?
True
Is -28/13 at least a | {
"pile_set_name": "DM Mathematics"
} |
- 1 - 1). Let z = -14 - m. Let q = 12 - z. Calculate the highest common factor of q and 4.
4
Let a(k) = -5*k**3 - 1 + 4*k**3 + 7*k - 13*k**2 + 8*k**2. Let q be a(-5). Let i be 2/(-8) + q/(-16). What is the greatest common factor of 5 and i?
1
Let i(h) = h + 1. Let m be i(-1). Let q(t) = t**2 + 5. Let l be q(m). Suppose 0*g - l*g + 250 = 0. Calculate the greatest common factor of g and 20.
10
Let d(j) be the first derivative of j**4/4 - j**3/3 - 2*j**2 + j - 2. Let w be d(3). Calculate the greatest common divisor of 21 and w.
7
Let i(w) be the first derivative of -w**3/3 - 4*w**2 + 12*w + 3. Let c be i(-9). Suppose 2*b - c = 19. Calculate the highest common factor of 88 and b.
11
Let k be -1*1/6 - (-453)/18. Calculate the highest common factor of k and 1.
1
Suppose -3*h + 3*o + 42 = -2*h, 61 = 3*h + 4*o. Let p = 219 - 30. Calculate the highest common factor of h and p.
27
Let d be 40 + -2 + 1*-2. Suppose -20*w - 29 = -21*w - 5*y, 4*w + 5*y = 56. Calculate the greatest common factor of w and d.
9
Suppose 4*m - 56 + 12 = -2*i, 0 = -5*i - 2*m + 110. Calculate the highest common factor of i and 55.
11
Let i be (-11)/66 + 1972/24 - 1. What is the highest common divisor of i and 1053?
81
Let f = -17 + 18. Let a be f/(215/(-110) + 2). Let o = 47 - 3. What is the greatest common divisor of o and a?
22
Let t(w) = -3 - w**2 - 14*w + 10*w + 2*w**2 + 18. Let v be t(3). What is the highest common factor of v and 3?
3
Let k(i) = 10*i - 312. Let n be k(33). Let l be (-4)/(-14) + 310/(-7). Let y be l/3*81/(-6). Calculate the greatest common divisor of n and y.
18
Let s = 2288 - 925. Let t = -875 + s. Suppose 0 = 2*l + c - 5*c - t, 0 = -5*l - c + 1209. Calculate the greatest common divisor of l and 22.
22
Suppose -2*b - z + 4*z = 25, 0 = 3*b - 4*z + 38. Let n be (12/10)/((-12)/30) - b. Calculate the highest common divisor of 11 and n.
11
Let s = -38 + 74. Let m = 70 + -66. Calculate the greatest common factor of m and s.
4
Suppose 5*b - 2*t = 152, 91 = 3*b - t - 0*t. Let z(r) = -5*r - 20. Let m be z(-6). Let f be (b/25)/(3/m). Calculate the highest common factor of 16 and f.
4
Let o = 22 - 14. Let x be (-19 - (-2 + 2)) + 3. Let g = x - -48. What is the greatest common divisor of g and o?
8
Let f(s) = s + 80. Let k be f(-56). What is the greatest common divisor of k and 8?
8
Let n be (-60)/8*6*1*-1. Suppose -n + 15 = -v. Calculate the highest common factor of 10 and v.
10
Suppose -14 = 5*y - 19*y. Let h = -2 - -5. Calculate the greatest common factor of h and y.
1
Let k be 2*1/(-2) + 2. Suppose -l - 2 = 4*n, 5*n + 31 = l - 3. What is the highest common factor of k and l?
1
Suppose 9 = -2*t + 5*l, -15 = -5*t + 3*l + 10. Calculate the greatest common divisor of 344 and t.
8
Let q = 316 + -271. Calculate the highest common factor of 405 and q.
45
Let q be 1458/36 + (-2)/4. Calculate the greatest common divisor of q and 160.
40
Let a = 218 + -212. Calculate the greatest common factor of 75 and a.
3
Suppose 372 = 7*o - o. Let s = 93 - o. Calculate the greatest common factor of 31 and s.
31
Let i(s) = -29 + 9 + 13 + 0*s - 2*s. Let k be i(-12). What is the greatest common factor of k and 272?
17
Let c = -371 + 401. What is the greatest common divisor of 930 and c?
30
Let x(g) = -43*g - 203. Let i be x(-5). What is the highest common divisor of 57 and i?
3
Let s(a) = -2*a**2 + 11*a - 7. Let p be s(5). Let d(x) = 8*x**2 - x - 4. Let t be d(p). Calculate the highest common divisor of t and 6.
6
Suppose -30*h + 13832 = 46*h. What is the highest common factor of 676 and h?
26
Let z be -38*7/(2 + -9). Calculate the highest common divisor of 171 and z.
19
Let l(m) = 4*m - 11. Let q be l(10). Let b = q - 25. Calculate the highest common factor of 4 and b.
4
Let p(v) = v**3 - 5*v**2 + 7*v - 8. Let b be p(4). Suppose -b*z + 17 = 4*n - z, 3*n + 4*z = 11. Calculate the greatest common divisor of n and 1.
1
Suppose 3*f = -2*f + 770. Let c = 12 - -10. What is the greatest common divisor of f and c?
22
Suppose 0 = -y - 3*a - 1, 2*a = 3*y + a + 13. Let b(n) = n + 16. Let l be b(y). Let o be ((-32)/12)/(1/(-3)). Calculate the highest common factor of l and o.
4
Let o = 237 + -234. Calculate the highest common divisor of 24 and o.
3
Suppose r + 3*r = -4, -2*r - 22 = -4*d. Suppose 8 = k + k. Let p(w) = 3*w - 2. Let z be p(k). Calculate the highest common factor of d and z.
5
Suppose -4*j + 1 + 3 = 0. Let x be 6072/748 - 4/34. Calculate the highest common divisor of x and j.
1
Let b(j) = j**2 + 13*j + 5. Let u be b(-13). Suppose -4*l = 2*r - 120, 0 = u*r + 2*l - 0*l - 340. What is the greatest common factor of 10 and r?
10
Let p = -17338 - -17341. Let u be (-1 - -1) + 34 - 1. Calculate the greatest common divisor of p and u.
3
Let w(x) = 3*x - 44. Let g(y) = -7*y + 88. Let q(o) = 6*g(o) + 13*w(o). Let m be q(-18). What is the highest common divisor of 10 and m?
10
Suppose -4*b - 2 = -18. Suppose 5*c = 2*d + 13, 5*c + 22 = -4*d - 19. Let u = 10 + d. What is the greatest common divisor of b and u?
1
Let q(d) = d**3 - 10*d**2 + 13*d. Let r be q(10). Suppose s - 2*s + x = -31, 3*x = -s + 11. Calculate the greatest common divisor of r and s.
26
Let g(k) = 42*k**2 + 16*k + 48. Let o be g(-3). Calculate the highest common divisor of 108 and o.
54
Suppose 2*l = -3*l. Suppose l = -p + 4*p - 15. Let s = 65 - 45. Calculate the greatest common factor of p and s.
5
Let r(c) = -c**3 - 10*c**2 - 5*c - 5. Let g be r(-10). What is the greatest common factor of 15 and g?
15
Let p be (-4)/(-6) + 924/(-9). Let v = -54 - p. Suppose 5*h - h = v. What is the greatest common factor of h and 84?
12
Let j = -183 + 300. What is the highest common divisor of j and 104?
13
Let v(g) be the second derivative of g**3/6 - 4*g**2 - 2*g. Let i be v(8). Let a be -3 - (i - 10/2). Calculate the highest common factor of 14 and a.
2
Let i(k) = k**2 + 8*k + 17. Let c be i(-10). Let s = c - 30. Calculate the highest common factor of 21 and s.
7
Suppose -2*j + 8*m = 13*m - 113, -5*m + 5 = 0. Calculate the greatest common factor of j and 126.
18
Let i(l) = -l**3 - 2*l**2 + 6*l + 5. Let x be i(-4). Let a = -106 - -64. Let y = a + 68. Calculate the highest common factor of y and x.
13
Suppose 4 = -4*b, -x + 5 = -8*b + 3*b. Let s = -14 - -41. Suppose x*v - 3*v + s = 0. What is the greatest common divisor of 36 and v?
9
Suppose 0 = -3*o - 0*o + 90. Let u be (-17)/(68/(-3))*32. What is the greatest common divisor of u and o?
6
Let n(j) = -26*j**3 + j. Let p be n(-1). Calculate the greatest common factor of 75 and p.
25
Let c be (-2 + 4 + 28)*(-84)/(-126). Suppose 3*j - 87 = -4*r + 70, -2*r + 2*j + 82 = 0. What is the greatest common divisor of r and c?
20
Let g = 15 + -11. Let o = -339 + 343. What is the greatest common factor of o and g?
4
Let i(f) = -7*f**3 + 3*f**2 + 5*f + 19. Let j be i(-4). Calculate the highest common factor of 99 and j.
99
Let q = 64 + -16. What is the greatest common divisor of q and 132?
12
Let o = 108 + -54. Let i(c) = -c**3 + 7*c**2 + 8*c + 18. Let x be i(8). Calculate the greatest common divisor of x and o.
18
Let h be 151 + 1/(-1)*1. Calculate the greatest common factor of 30 and h.
30
Suppose -11*p + 8 = -9*p, -4*p = j - 41. What is the greatest common divisor of j and 225?
25
Suppose -2*u = -0*u - 38. Let h be (-19)/(6/12 - (-21)/(-30)). Calculate the greatest common factor of u and h.
19
Suppose -4*k + 8 = 0, 3*f - 5*k + 4 = 78. Suppose 4*h + 32 - 88 = 0. What is the highest common factor of h and f?
14
Suppose 2*v + 0*v + 3*j + 219 = 0, 0 = 2*v - 5*j + 243. Let f = v + 169. What is the highest common factor of 22 and f?
11
Suppose 0 = -2*r - 5*q + 260, r - 4*q - 108 = -q. Calculate the highest common factor of 45 and r.
15
Let r = -179 + 299. Suppose -9*z = -4*z - r. Calculate the highest common factor of z and 36.
12
Suppose 946 = -2*k - 536. Let i = k + 1246. Suppose -44 = -2*j + 4*x + 152, 5*x = -5*j + i. What is the greatest common factor of 25 and j?
25
Let q be 39*16/36*(-18)/(-8). Calculate the greatest common divisor of q and 221.
13
Let d be 0/((-8)/(32/(-12))). Suppose 6 = -d*r + r. Calculate the highest common factor of 4 and r.
2
Suppose 3*m = 273 + 186. Let f = -2 + 2. Suppose -3*p - 2*y = -0*y - 88, f = -5*p + 3*y + m. What is the greatest common factor of 6 and p?
6
Suppose 0*l - 3* | {
"pile_set_name": "DM Mathematics"
} |
512.00069 - 512. Round j to four dps.
0.0007
Let u be 0/(2/((-1)/1)). Suppose -y + 6 = -u*y. Let f be (-150)/(5/(400/y)). What is f rounded to the nearest ten thousand?
0
Let n be (-99)/495 - 275387/10*-646. What is n rounded to the nearest 1000000?
18000000
Let z = 59 + -27. Let x = z - 42. Let r = x + 10.0000084. Round r to six dps.
0.000008
Let f = 2812 - 12582. Round f to the nearest one thousand.
-10000
Let k = -7.6 - -7.884. Let p = 0.28249 - k. Round p to 4 decimal places.
-0.0015
Let r = -2129.002114 - -2129. Round r to 3 dps.
-0.002
Let r = 83 + -101. Round r to 0 dps.
-18
Let q(c) = -2 + 0 + 2*c - 108381*c**2 + 1 - 1251620*c**2. Let n be q(1). Round n to the nearest 100000.
-1400000
Let w = -82096738935234 + 82096717070474.6199799. Let y = w + 21864761. Let v = y - 1.62. What is v rounded to six dps?
-0.00002
Let u = 678.002116 + -678. Round u to 3 decimal places.
0.002
Let r = 0.055 - 18.055. Let x = 18.226 + r. What is x rounded to 2 decimal places?
0.23
Let m = -0.57 - -118.57. Let u = -110.24 + m. Round u to the nearest integer.
8
Let s = 36.79 - -0.21. Let m = 1592.591361 - 1555.59136174. Let q = s - m. Round q to 7 dps.
0.0000007
Let c = 1625.99999501 - 1626. Round c to 6 dps.
-0.000005
Let d be (-44)/(-7) - 14/49. Suppose -d*y - 9349617 - 7510383 = 0. What is y rounded to the nearest 100000?
-2800000
Let m = -38443482 + -127088973. Let j = m + 165532578.000243. Let i = 123 - j. What is i rounded to five dps?
-0.00024
Let l = 541 + -791. Let f = l + 250.000127. What is f rounded to 5 decimal places?
0.00013
Let h = 58 + -109. Let r = h - -78. Let w = 54.7 - r. What is w rounded to the nearest integer?
28
Let k = 10.299947 - 10.3. What is k rounded to five decimal places?
-0.00005
Let k = -0.01546 - -0.0154593881. Round k to 7 decimal places.
-0.0000006
Let f be (-3433752)/(-120) - 2/(-5). Let m = f - 13615. Round m to the nearest ten thousand.
20000
Let l = -248.00001466 - -248. What is l rounded to 6 dps?
-0.000015
Let b = 0.31 - 7.49. Round b to 0 decimal places.
-7
Let v = -60.00001772 - -60. What is v rounded to six dps?
-0.000018
Suppose 3*s + 5*b = -0*s + 8, -10 = -5*s - 5*b. Suppose 5*y - s + 11 = 0, -5*k - 89996 = -2*y. What is k rounded to the nearest 100000?
0
Let i be -2 + -4 + -63397 + (5 - 2). Round i to the nearest 10000.
-60000
Let d = -280 - -280.002116. Round d to 4 dps.
0.0021
Let x be 0*1/(-2) + 2. Suppose 4*g + 12 = 0, -2*g = -x*l + 3*g + 2400015. What is l rounded to the nearest one million?
1000000
Let q be 9 + -5 + 10/(-2). Let j be -21000*q/3*650. What is j rounded to the nearest one million?
5000000
Let b = -1975.9998923 - -1976. Round b to five decimal places.
0.00011
Let i = -94.14 - -95. Let n = i + -0.8599961. Round n to 6 decimal places.
0.000004
Let k be 20/(-15) + 2/(-3). Let h = k + 5. Let q be (-6)/h + 870001*2. Round q to the nearest 100000.
1700000
Suppose -4*s - 68227913 = o - 6*o, -3*o - 9 = 0. Let c be (23 + -22)*s/1. Let v = c - -9456982. What is v rounded to the nearest 1000000?
-8000000
Let g(m) = -m**2 - 9*m + 2. Let d be g(-9). Suppose 20002 - 1602 = -d*x. Round x to the nearest one thousand.
-9000
Let k be ((-292)/(-2))/(12 - (-16796)/(-1400)). Round k to the nearest ten thousand.
50000
Let u = 7.94 + -7.944102. What is u rounded to four dps?
-0.0041
Let n = -142 - -34. Let t = n + 107.03. What is t rounded to 1 dp?
-1
Let r = 0.2331 - 0.22227. What is r rounded to three dps?
0.011
Suppose -652 = -13*z - 10545. Round z to the nearest 100.
-800
Let m = 342.17 - 340. Let n = -2.56 - -0.46. Let d = m + n. Round d to 1 dp.
0.1
Let r = 2.47 + -4.94. Let j = -0.031653 + 2.482753. Let l = j + r. Round l to three decimal places.
-0.019
Let h(b) = 950*b**3 + 3*b**2 + 3*b + 1. Let f be h(-1). Let x = f - -116. Round x to the nearest one hundred.
-800
Let o = 4.38 - -5.14. What is o rounded to 1 decimal place?
9.5
Let a = -2 + -4. Let p(g) = 43*g - 9. Let v be p(a). What is v rounded to the nearest 10?
-270
Let p = -66 + 68. Suppose 4123937 - 923937 = -p*v. Round v to the nearest one million.
-2000000
Let g = -0.18 - -19.18. Let q = -19.04 + g. Let f = -0.4 + q. Round f to 1 decimal place.
-0.4
Suppose s - 692630 - 443350 = 0. Suppose 8*v - 4*v - 20 = 0, -2*i - 4*v - s = 0. What is i rounded to the nearest one hundred thousand?
-600000
Let y = -912.9086 - -913. Round y to 2 dps.
0.09
Let q = -26331.846 + 26290.845938. Let t = -24 - -65. Let s = q + t. Round s to 5 decimal places.
-0.00006
Let x = -0.077 - 17.923. Let o = -18.052 - x. What is o rounded to three dps?
-0.052
Let w = 0.056 - 21.056. Let x = -148176.54000005 + 148155.54. Let s = x - w. What is s rounded to 7 dps?
-0.0000001
Let i = 2.44266 - 2.28266025. Let s = 0.02 - 0.18. Let z = s + i. What is z rounded to seven decimal places?
-0.0000003
Let k = 0.019 + -0.019001681. What is k rounded to 7 dps?
-0.0000017
Let o = -0.057000509 + 0.057. What is o rounded to 7 decimal places?
-0.0000005
Suppose 0 = -u - 2*f + 49473, -5*f - 97050 - 100894 = -4*u. Let m = u + -270481. What is m rounded to the nearest 10000?
-220000
Let a = 1.92 - 1.8752. Round a to two decimal places.
0.04
Suppose 21*f + 1270 = -515. What is f rounded to the nearest 100?
-100
Let u = -23214.8 - -20557. Let q = u + 2659.0989. Let r = q - 1.3. Round r to 4 dps.
-0.0011
Let q = -59.5843195 - -55.48431969. Let t = -99 + 94.9. Let b = t - q. What is b rounded to seven dps?
-0.0000002
Let j = 585738 + 652262. What is j rounded to the nearest one hundred thousand?
1200000
Suppose -b - 3*r - 7 = 0, -b = 5*r + 1 + 12. Let h(n) = 2 + 3*n**b - 15*n + 2*n + 2. Let t be h(12). What is t rounded to the nearest 100?
300
Let a = -374 - -374.0698. What is a rounded to 3 decimal places?
0.07
Let c(r) = -35*r - 233. Let a be c(-5). What is a rounded to the nearest ten?
-60
Let a = 48.109 + -0.109. Let z = 45.52 - a. Round z to 1 decimal place.
-2.5
Let s be 36*(-1)/(-3)*2. Suppose 5*m - 1 = 5*l + s, 2*l + 5*m + 10 = 0. Let r be (-10)/(-25) + 115002/l. What is r rounded to the nearest 1000?
-23000
Let h = 181.00000895 + -181. What is h rounded to six dps?
0.000009
Let t(c) = 656*c - 48. Let i be t(8). Round i to the nearest 1000.
5000
Let r = -835493 + 1665293. What is r rounded to the nearest ten thousand?
830000
Let t = 1006 - 886.8. What is t rounded to the nearest ten?
120
Let a be 48796008/(-44) - 18/(-99). What is a rounded to the nearest one hundred thousand?
-1100000
Let u = 53134.797 + -53158. Let o = u - 0.097. Round o to the nearest 10.
-20
Let x be 83*((-61)/(-5) + 4/5). Suppose 6*c - 3721 = x. What is c rounded to the nearest one hundred?
800
Let z = 12.296 - -57.68. Let g = z + 0.024. Let a = g - 69.922. What is a rounded to 2 dps?
0.08
Let h = 41 - 40.67. Let w = 0.245 - h. What is w rounded to two dps?
-0.09
Let l(u) = 82400004*u - 4. Let t be l(3). Let h be 4/(-3) + t/6. Suppose 19*g = 15*g + h. What is g rounded to the nearest one million?
10000000
Let n = 830 + -848.88. Let m = n + 13.7. Let q = -5.18221 - m. Round q to 4 dps.
-0.0022
Let j = 2581 + -2580.4297. Let o = j + -0.52. Let u = 0.05 - o. Round u to four decimal places.
-0.0003
Suppose 2*d = 26123 - 2123. What is d rounded to the nearest 1000?
12000
Let k = 0.2093 + 0.0493. What is k rounded to one decimal place?
0.3
Suppose z + 4 = 0, -9*j + 7*j - 5*z = -1925980. Round j to the nearest ten thousand.
960000
Suppose -19577992 = 2*l - 4*k, -3*l + 65*k = 64*k + 29366998. What is l rounded to the nearest 100000?
-9800000
Let b = 0.671 - -26.969. Round b to the nearest ten.
30
Let y = 141.5 - 58.8. Let h = 99.46 + -1.46. Let s = h - y. What is s rounded to the nearest integer?
15
Let a = 45 - 23. Let u = a + -18. Suppose 0 = u*l + 16, -5921922 = 4*z - 3*l + 1078066. What is z rounded to the nearest one hundred thousand?
-1800000
Let r = 11273510 + -7858510. Round r to the nearest 100000.
3400000
Let n(s) = s**2 - 12*s + 24. Let a be n(10). Suppose 4*u = y - 13, -4*y = -3*y + a*u + 11. Let d be (y - 117/6)*-1000000. Round d to the nearest one million.
19000000
Let c be ((-48)/20)/((-2)/342500). Round c to the nearest 100000.
400000
Let i = -14.6 - -14.600266. Round i to four dps.
0.0003
Let p be (-124)/3*(-1)/(3/(-45)). Round p to the nearest 1000.
-1000
Let s = -3047.0000005916 - -3047. Round s to 7 dps.
-0.0 | {
"pile_set_name": "DM Mathematics"
} |
*c - 2*w = -10 - 19. Let q(z) = -z**2 - 8*z - 6. Let m be q(c). Calculate x(m).
0
Let n(u) = 5*u**2 - 4*u + u**2 + 5*u**3 - 6*u**3 - 2. Suppose -4*m + 5 = -3*m. What is n(m)?
3
Let w(o) = o**3 - 7*o**2 - 5*o - 7. Suppose -5 - 37 = -3*u - 3*v, v + 20 = u. Let x(m) = -2*m**3 + 20*m**2 + 14*m + 20. Let n(j) = u*w(j) + 6*x(j). Give n(1).
6
Let g = 6 + -10. Let k(h) = 43*h - 1 + 2 - 44*h - 7. Determine k(g).
-2
Let z(t) = -5*t**3 + t**2. Let l be z(-1). Let x(a) be the second derivative of 0 - 1/2*a**2 - 1/6*a**3 + 3*a. What is x(l)?
-7
Let x(i) be the second derivative of i**5/10 - i**4/3 + i**3/3 + i**2 - 14*i. Let d(u) = -u. Let f be d(-2). Calculate x(f).
6
Let z(a) be the first derivative of -a**4/4 + 5*a**3/3 + 5*a**2/2 + 2*a - 5. Determine z(6).
-4
Let l(v) = -v + 1. Let i(r) = -3*r - 3. Let g(j) = -i(j) + 2*l(j). Suppose 12 = -2*p + 3*z, 4*p + 4*z + 0*z = -4. What is g(p)?
2
Let c = -17 + 15. Let z(y) = y**3 + y**2 - 1. Determine z(c).
-5
Suppose -3*l - 44 = 2*g - 2*l, -5*g - 96 = -l. Let b be (g/35)/(2/(-14)). Let y(f) = f**3 - 3*f**2 - 2. Calculate y(b).
14
Let h(o) = -o**2 - 2*o + 5. Let d = -23 + 36. Let v = 9 - d. What is h(v)?
-3
Suppose -5 = -3*l + 2*l, 2*l = -5*n + 20. Suppose n = -q, q = -c - 0*q - 6. Let y be 5/((-10)/c) - 3. Let d(o) = 7*o + 1. Calculate d(y).
-6
Let i(s) = -2*s + 1. Let b = -6 - -9. Let c(h) = h**2 - 3. Let f be c(b). Suppose -2*y - y + f = 0. Determine i(y).
-3
Let v(l) = -2*l**2 - 1. Let i(x) = 2*x**2 + 1. Let z(o) = -o**2 - o + 5. Let p be z(0). Let b(y) = p*v(y) + 6*i(y). Let u be ((-8)/2 - -1) + 4. Calculate b(u).
3
Let d(g) be the first derivative of -5*g**2/2 - 2*g - 3. Give d(-2).
8
Suppose 6*m = 4*m + 4. Let f(s) = 0*s + 7*s - s + s**m + 2. Determine f(-4).
-6
Let p(i) = i**3 + 3*i**2 + i + 1. Let s be p(-3). Let z(o) = 4*o + 2. What is z(s)?
-6
Let h(v) = -29*v**2 + 14*v**2 + 3 - 2*v + 14*v**2. Determine h(2).
-5
Let c(x) = -2*x + 2. Let l be c(1). Let t(r) = r**2 + r - 9. Determine t(l).
-9
Let g = 10 + -9. Let p(m) = 8*m**2 + 2*m - 1. What is p(g)?
9
Let v(s) be the third derivative of 0*s + 0*s**3 - 1/120*s**6 + 0 - 3*s**2 + 1/8*s**4 + 1/20*s**5. Calculate v(3).
9
Let g(z) = 3*z + 7. Suppose 0 = -2*q + 5*i - 15, -5*q - i + 6*i - 30 = 0. Give g(q).
-8
Let v(h) be the third derivative of -1/6*h**3 - 1/12*h**4 - 2*h**2 + 0 + 0*h. Let y = 3 - 4. Determine v(y).
1
Let y = -9 + 16. Let k(r) = r - y*r**2 + r**2 + 0*r. Calculate k(1).
-5
Let h(b) = b**2 - 1. Let c(q) = -5*q**2 + 4*q + 6. Let k(a) = c(a) + 6*h(a). Determine k(-4).
0
Let d = 11 + -12. Let n(b) = -13*b**3 - b**2 - b - 1. Give n(d).
12
Let x(v) = -5 - 3*v**2 + v**3 - 2*v**2 + 5*v + 2*v + 0*v**2. Calculate x(4).
7
Let t = -51 + 74. Suppose 4*r + 9 = 5*m, 5*r = -3*m + t + 12. Let w(s) = -5*s + 10*s - r*s**2 + 5*s**2. What is w(-3)?
-6
Let c(j) be the first derivative of -j**2/2 + 2*j - 32. Give c(-8).
10
Let q(v) = -v**2 + 6*v + 4. Let y(a) = -a**2 + 6*a + 5. Let j be (-2)/4*2 + -3. Let w(k) = j*y(k) + 5*q(k). Determine w(5).
5
Let f(k) = -k**2 - 6*k + 1. Let s be (-2)/7 + (-141)/21. Let d be f(s). Let o(n) = 2*n + 9. Give o(d).
-3
Let u = 2 - -3. Suppose 2*v = 7*v - 10. Let t(p) = p + 4*p**v - 2 + 3 + p**2 - p**3. Give t(u).
6
Let v(a) = 14*a - 1. Let p(n) = n**3 - 5*n**2 + 4*n + 1. Let l be p(4). Calculate v(l).
13
Let i(y) = -y**3 - 2*y**2 + 4*y. Let f be i(-3). Let k(m) = m**2 - 3. Determine k(f).
6
Let n(r) be the second derivative of -r**3/6 - r**2/2 - 6*r. Give n(4).
-5
Let l(b) be the first derivative of 7*b**5/60 - b**3/6 - b**2/2 - 1. Let d(o) be the second derivative of l(o). Let m = 0 + 1. Give d(m).
6
Let y(d) be the third derivative of d**9/60480 - d**8/4032 + d**7/1680 - d**6/240 + d**5/30 - d**2. Let p(v) be the third derivative of y(v). Calculate p(4).
-7
Let y(n) = 4*n + 3. Let f(b) = -b - 1. Let v be f(-4). Suppose -r = -2*r - v. Calculate y(r).
-9
Let g(j) = -j**2 - 6*j. Let x be 7/5 - 6/(-10). Suppose 5*s + x - 62 = 0. Suppose -s = -2*q + 4*q. What is g(q)?
0
Let s(b) be the first derivative of -b**2 - 4. What is s(-4)?
8
Let f be -10*(-1)/2 + -2. Suppose 4*n + g + 8 = -f*g, n - g = 0. Let p(z) = -z**3 + z**2 + 30*z**3 - 1 - 15*z**3 + 0*z**2. Calculate p(n).
-14
Let z(i) = -i - 7. Let g(p) = -p**3 + 4*p**2 + 5*p - 3. Let d = -7 - -12. Let a be g(d). Give z(a).
-4
Let x(t) = t**3 + 19*t**2 + 18*t + 4. Let g be x(-18). Let q(f) = -f**3 + 5*f**2 - 4*f - 2. What is q(g)?
-2
Let j(q) = 3*q**3 - q**2 - q + 3. Let d(h) = h**2 + h - 1. Let k(o) = -2*d(o) - j(o). Calculate k(-1).
2
Let h be 1197/91 - 4/26. Let p(q) = 1 + q**2 - h*q + 6*q - 2*q**2. Give p(-5).
11
Suppose 3*d = 5*y - 6, 2*d + 4 = -0*d - 2*y. Let o(u) = -u**2 - 2. Give o(d).
-6
Let t(v) = -21*v**2 - 27*v**2 - 1 + 52*v**2 + 2*v + v**3. Give t(-2).
3
Let h(g) = -5*g**2 + g. Let k be ((-1)/(-2) + -1)*-10. Let s = k + -7. Let b = 3 + s. Give h(b).
-4
Let y(h) = 5*h + 7 + 0*h - 2*h + h**2 + 4*h. Calculate y(-7).
7
Let m(l) = l**2 - l. Let d(n) = -15*n + 17. Let o(a) = 8*a - 9. Let z(s) = 4*d(s) + 7*o(s). Let u(k) = m(k) - z(k). What is u(-4)?
-1
Let x be (-2 + 3)*(3 - 3)*-1. Let f(u) = u - 1. Let r(m) = m**3 + m**2 - m + 12. Let z(a) = 2*f(a) + r(a). Calculate z(x).
10
Let z(w) = w**3 - 4*w**2 + 3. Let n(m) = m + 15. Let r be n(-11). Calculate z(r).
3
Let v = -29 - -32. Let n(i) be the second derivative of 0 + 5/6*i**v + i**2 - 3*i - 1/12*i**4. What is n(5)?
2
Let a = -4 - -2. Let m = a + 5. Let n(l) = 4*l**2 - 4*l**3 + 1 + 4*l**3 - l**3 - 3*l. What is n(m)?
1
Let w(t) = t**2 - 2 - 2*t + 0*t**2 - 3*t**2. Suppose 3*x + 0*x = 12. Let v be (2 - 15/6)*x. Determine w(v).
-6
Suppose 0 = -4*o + 3*o + 3. Let x(i) = 3*i + 7. Let l(d) = 2*d + 4. Let c(v) = 10*l(v) - 6*x(v). Give c(o).
4
Let n(m) = -3*m**3 + 12*m**2 - 20. Let f(r) = -r**3 + 4*r**2 - 7. Let x(d) = -11*f(d) + 4*n(d). Determine x(3).
6
Let a(z) = 7*z - 17. Let r(f) = 10*f - 25. Let u(h) = 7*a(h) - 5*r(h). What is u(0)?
6
Let z(b) = -b**2 - 4*b + 8. Let s be (-68)/6 + 8/24. Let d = 9 + s. Let l be -5*(d + 32/10). Give z(l).
-4
Let g(a) be the second derivative of -3*a**5/20 - a**3/6 + 3*a. Let f be g(-1). Let o(d) = 2*d - f*d - d**2 + 2 + 3*d. What is o(-2)?
-4
Let z(t) = t**2 - 5*t - 6. Let n(f) = f + 7. Let h be n(-5). Let q = h - -4. Determine z(q).
0
Let q(f) be the second derivative of f**4/12 + 5*f**3/6 + 3*f**2/2 - f. Determine q(-3).
-3
Let r(x) = -x - 2. Let h(g) = -g + 9. Let f be h(8). Let m be f + -7 + (-5 - -3). Determine r(m).
6
Let k(s) = 13*s - 9. Let i be k(5). Let w be (-2)/5 + i/(-35). Let l(q) = -q**3 + q - 1. What is l(w)?
5
Let i(s) be the second derivative of s**3/3 + s**2 - 3*s. What is i(3)?
8
Let h(r) = -r**2 + 3*r + 5. Let w = 40 + -35. Calculate h(w).
-5
Suppose -2*p = -4*p. Suppose p = 3*q - 0*a + 4*a + 37, 0 = -4*q - 5*a - 48. Let y(c) = c + 2. Let l be y(q). Let m(v) = v**2 + 8*v + 6. What is m(l)?
-9
Let y(q) be the first derivative of -3/2*q**2 + 2 + 7*q - 1/3*q**3. Give y(-5).
-3
Let d(i) = i + 6. Let s = 118 - 110. What is d(s)?
14
Let y = 14 - 15. Let f(a) = -a**2 - 4*a + 2. Let i(x) = x**2 + 5*x - 3. Let o(k) = -4*f(k) - 3*i(k). Give o(y).
1
Let p(g) = g**3 + 2*g**2 - 3*g + 9. Let r(c) = 2*c**3 + 3*c**2 - 5*c + 17. Let n(j) = -11*p(j) + 6*r(j). Suppose 0 = 4*l - 6 - 6. Calculate n(l).
3
Let g(x) = 8*x + 10. Let u(l) = -3*l - 3. Let j(k) = -2*g(k) - 7*u(k). Determine j(-2).
-9
Let p be 0 - ((-111)/21 - (-2)/7). Let h(x) = 15*x - 10. Let w(g) = 8*g - 5. Let d(r) = 6*h(r) - 11*w(r). Give d(p).
5
Let g be (-2 + (-21)/(-9))*3. Let t be (-2)/(-4) - g/(-2). Let b(o) = -4*o**3 - o. Give b(t).
-5
Let p(n) be the third derivative of n**6/120 + n**5/15 - n**4/24 - 5*n**3/6 + n**2. Let u = -268 + 142. Let m be u/30 - 2/(-10). Determine p(m).
-1
Let a = -16 - -20. Let j(y) = y**2 + 2*y - 5. Calculate j(a).
19
Let t(s) = s**3 - 4*s**2 + s + 2. Let h be t(4). Let m(c) = -c**3 + 6*c**2 + 2*c - 1. What is m(h)?
11
Let i(k) = 7*k**2 + 6. Let g(u) = 4*u**2 + 3. Let w(s) = -7*g(s) + 3*i(s). Let j(z) = z**2 + 1. Let v(c) = 4*j(c) + w(c). Calculate v(-1).
-2
Suppose -5*v - 2 = 3*q + 5, 2*v + 2 = -q. Let l(j) = -2 + 6*j**3 - 3*j**3 + 1. Give l(v).
2
Let p(b) = -6*b**2 - 2*b + 1. Let u be (-176)/18 - 12/54. Let k(l) = l**2 + 10*l + 1. Let x be k(u). Determine p(x).
-7
Suppose 1 = 3*w - 4*k, 5*k - 4*k - 14 | {
"pile_set_name": "DM Mathematics"
} |
3)/9). Suppose 0 = -v*p + 140 + 120. What is the highest common factor of 13 and p?
13
Let g = 656 - 446. Suppose g = 6*s - s. Calculate the greatest common divisor of 6 and s.
6
Let z be 4/6*12/2. Suppose 9 = z*l - 15. Suppose 5*k - i - 14 - 2 = 0, 12 = 5*k + 3*i. What is the greatest common factor of k and l?
3
Let g be (-10 - 2)/2*-1. Suppose 2*s = -s + g. Suppose 2*l = a - s*a + 256, 3*l + a - 382 = 0. What is the greatest common divisor of 14 and l?
14
Let y = -4 + 6. Suppose 4*u + 2*v - 90 = 0, y*u + 5*v - 24 = 33. What is the greatest common divisor of u and 231?
21
Let i(k) = k**2 + k - 2. Let h be i(-3). Suppose t + 2*j = 34, h*t - 111 = -3*j + 10. What is the highest common divisor of t and 42?
14
Let p = -388 + 729. Calculate the greatest common factor of p and 31.
31
Let t(o) = o**2 + 19*o - 18. Let c be t(-21). What is the highest common divisor of c and 48?
24
Let a(f) = 335*f - 2. Let h be a(1). What is the greatest common divisor of h and 37?
37
Let f(l) = l**2 + 3*l - 4. Let y be f(-3). Let o(k) = -11*k - 4. Let c be o(y). Let u = c + 10. What is the greatest common factor of 10 and u?
10
Suppose p - 6 = -0*p. Let n be ((-16)/p)/(4/(-6)). What is the greatest common divisor of 44 and n?
4
Suppose -3*s + 105 + 30 = 0. Calculate the greatest common divisor of s and 30.
15
Suppose h + 2*z - 11 = 0, 0*h + 2*z - 22 = -2*h. Let c = 2 + 9. What is the greatest common factor of c and h?
11
Let a(z) = -4*z - 3. Let t be a(-6). Suppose 0 = -0*q - 4*q. Suppose q = -4*b + b + t. Calculate the highest common divisor of 63 and b.
7
Suppose -71*c = -62*c - 1584. Calculate the highest common divisor of c and 16.
16
Let h be ((-36)/8)/((-2)/4). Let m be (-6)/(-3) - (-183)/3. Calculate the greatest common factor of m and h.
9
Let q(r) = r**2 - r + 50. Let h be q(0). Suppose 4*o + 14 = h. Let f be (-2)/(-8) + (-323)/(-4). Calculate the greatest common divisor of f and o.
9
Let d(v) = v**2 + 10*v - 3. Let q be d(-12). What is the greatest common divisor of q and 42?
21
Let f be (-100)/(-6) + 2/(-3). Let b be f/10 - (-8)/20. Let h be 5/2*4/5. What is the highest common divisor of h and b?
2
Suppose d - 60 = -3*d. Suppose -b = -3*b + 8. Suppose b*r - 548 + 113 = -3*j, 0 = -2*r - 4*j + 230. Calculate the highest common divisor of d and r.
15
Let j(b) = b + 11. Let h be j(-8). Suppose 0 = -h*a + 28 + 92. Calculate the highest common factor of 5 and a.
5
Let q = -9 - -6. Let m be (28/2)/(-2)*q. Let p = m + -6. Calculate the highest common divisor of p and 75.
15
Let p = 4 - 2. Suppose -203 = -p*f + 237. What is the highest common divisor of 20 and f?
20
Let f(q) = -q**2 + 13*q - 20. Let b be f(8). Suppose -5*u + 280 = -b. Calculate the highest common factor of 30 and u.
30
Suppose -4*s - 45 = -3*j, 5*j - 62 = -3*s + 13. Suppose -j = 2*x - 135. Calculate the highest common divisor of 12 and x.
12
Suppose -5 = -x - 4. Suppose -3*s = -4*i + 35, s = x + 2. Suppose -r + 16 + i = 0. What is the greatest common factor of 3 and r?
3
Let a(f) = -19*f + 9. Let n be a(7). Let c be 2 - 0 - n/2. Let r = -29 + c. Calculate the greatest common factor of 14 and r.
7
Let l be ((-22)/6)/((-1)/3). Let r = 14 - 11. Suppose -3*u + 137 = 6*y - y, 3*y - 135 = -r*u. What is the highest common factor of u and l?
11
Let u(k) = 51*k**2 + k + 2. Let y be u(2). Let d be 4/(-10) - y/(-20). What is the greatest common divisor of d and 10?
10
Let n = -3 + 3. Suppose 12 = -n*q + 2*q. Let v be (-28)/(-6)*(13 - 4). What is the greatest common divisor of q and v?
6
Suppose 27*p - 30 = 24*p. Suppose -5*q - 105 = -3*j, 6*j + 3*q - 81 = 3*j. What is the highest common factor of p and j?
10
Let u be ((-6)/9)/(1/(-30)). Suppose -c = -6 + 3. Suppose 0 = -3*i - c*j - 37 + 178, -j = 3*i - 147. Calculate the highest common factor of u and i.
10
Let r(o) = 2*o**2 - 3*o. Let v be r(2). Suppose -v*f - 2*p - 52 = 0, 23 = -f + 4*p - 6*p. Let n = 49 + f. Calculate the greatest common divisor of n and 30.
10
Let d be 2 + 12 + (0/(-4) - -2). Calculate the highest common divisor of d and 64.
16
Suppose 5*a + 8*a - 104 = 0. Suppose 19 = -4*x + 83. What is the greatest common factor of x and a?
8
Let z = 148 + 72. Calculate the highest common factor of 20 and z.
20
Let i(p) = -31*p - 1. Let y be i(-1). Calculate the highest common factor of y and 75.
15
Suppose -5*o + 55 = -3*t, t + 22 + 1 = 2*o. Calculate the highest common divisor of 7 and o.
7
Let i(t) = t**2 + 9*t - 13. Let m be i(-13). What is the greatest common divisor of m and 195?
39
Suppose -4*j + 2*j = -8. Suppose 2*d = 4*d + j, -2*s = -d - 24. Suppose 2*a = -2*z + 14, -5*a - 75 = -4*z - s. What is the highest common factor of 121 and z?
11
Let v = 37 + 18. Calculate the greatest common factor of 11 and v.
11
Suppose k = -4*i + 146, -2*k - 2*i - 2*i = -308. What is the greatest common divisor of 18 and k?
18
Suppose -20 = o - 2*o. What is the highest common divisor of 160 and o?
20
Let b be 42/8 + (-1)/4. Suppose -6*g + g + b = 0. Calculate the greatest common factor of g and 1.
1
Let m = 208 + -120. What is the highest common divisor of 66 and m?
22
Let q(h) = -h**3 + 2*h**2 - h + 1. Let t be (0 - 1) + 1 - -1. Let x be q(t). Let i be x*-2 - 6*-2. Calculate the greatest common divisor of 110 and i.
10
Suppose -4*d + 0*d - 4*p = -80, 0 = 4*d - p - 55. Let k = d + -7. Let q be (15*(-1)/4)/(30/(-160)). What is the greatest common factor of k and q?
4
Let x = 36 - 25. What is the greatest common factor of x and 110?
11
Let n be -30*(3/7 - (-333)/(-189)). Calculate the highest common divisor of 24 and n.
8
Suppose -42 = -5*n + 3*x + 6, -2*n + x + 19 = 0. Let i be (-2)/7 + 270/14. Let d = i - 13. What is the greatest common factor of d and n?
3
Let z be 1/(-4) - 54/8. Let o = 4 + 7. Let l = o + z. Calculate the highest common divisor of 12 and l.
4
Let h(l) = -5*l - 4. Let x be h(-5). What is the greatest common divisor of 14 and x?
7
Let y(a) = 192*a - 7. Let v be y(7). Let g be v/21 + (-4)/6. Suppose m - 5*m + 36 = 0. Calculate the greatest common factor of g and m.
9
Let w(s) = s**2 + 12*s + 4. Let j be w(-12). Calculate the highest common factor of 12 and j.
4
Let n = -4 + 8. Suppose -2*f = 2*m + 2*f - 12, -m + 30 = -n*f. Let v(d) = -14*d. Let t be v(-1). What is the greatest common factor of t and m?
14
Let j(g) = -g**2 - 9*g - 5. Let l be j(-8). Suppose v - 22 = -a, -l*v + 2*a - 16 = -92. What is the highest common divisor of v and 6?
6
Suppose 46 = t + 2*v, 3*v + 5 = 2. Let w = 39 + -27. What is the greatest common factor of w and t?
12
Let j(t) = t**2 - t + 3. Let s be j(2). What is the highest common divisor of s and 25?
5
Let k = -10 - -13. Suppose -3*g - 36 = -k*i, -i - 8 = -4*i - 4*g. What is the greatest common divisor of 88 and i?
8
Let o(f) = f + 17. Suppose -2*k = -3*w - 12 - 11, -5*w - 29 = -2*k. Let g be o(k). What is the greatest common divisor of g and 3?
3
Let z = -32 + 143. What is the greatest common factor of 37 and z?
37
Let g be 6/(-4) + 168/16. Suppose g = 3*a, 5*v + 3*a - 31 = a. What is the highest common divisor of v and 20?
5
Suppose -2*i - 20 = -68. Suppose -4 = r - i. Calculate the greatest common divisor of 50 and r.
10
Let c = -29 - -17. Let d be (c/8)/(2/(-8)). What is the highest common divisor of d and 18?
6
Let c(z) = z**3 + 9*z**2 + 8*z + 12. Let b be c(-8). Suppose -5*t + 74 + 226 = 0. Calculate the greatest common divisor of t and b.
12
Suppose 5*m - 8 = 2. Let f = 3 + m. Suppose c = 3*s - s + 4, f*c - 8 = -2*s. What is the greatest common divisor of c and 2?
2
Let l = 150 - 116. What is the highest common divisor of l and 85?
17
Let k be 4 + 4 + 0 + 3. Calculate the greatest common factor of k and 99.
11
Suppose -c - 19 = -2*c. Suppose -c = 5*o - 89. Suppose 0 = -h + 1 + 1. What is the highest common factor of h and o?
2
Let b = 10 - 7. Let k = 4 - b. Calculate the highest common factor of k and 5.
1
Let w be (4/6)/((-2)/(-132)). Let k(h) = -h. Let g(j) = -5*j + 3. Let b(l) = -g(l) + 4*k(l). Let f be b(7). Calculate the highest common divisor of f and w.
4
Suppose 2*i - 12 = i. Let h be -8*-2*(-5)/(-20). Calculate the greatest common divisor of h and i.
4
Let d(n) = n**3 - 6*n**2 + 3*n - 5. Let j be d(6). What is the highest common divisor of j and 65?
13
Suppose 3*t = 48 + 249. Let k(f) = -f**2 + 6*f + | {
"pile_set_name": "DM Mathematics"
} |
Let f = s + -30. What are the prime factors of f?
3
Suppose 0*r + r - 31 = -5*x, x + 73 = 2*r. Let k be (r/(-27))/((-4)/6). Let u(i) = 6*i**2 - 4*i + 3. What are the prime factors of u(k)?
19
Let w = 30 - 30. Suppose 4*p + 42 - 218 = w. List the prime factors of p.
2, 11
Suppose 4*y - 4*m = 3608, -y + 3*m + 20 = -876. Suppose 5*v = 3*j + 873, y = 14*v - 9*v + 5*j. What are the prime factors of v?
3, 59
Let w(f) = 24*f + 67. What are the prime factors of w(18)?
499
List the prime factors of 0 + 2865/10 - (-1)/(-2).
2, 11, 13
Let z = 12918 - 7657. List the prime factors of z.
5261
Suppose -2*r - 2*l + 6328 = 0, 0*r - 5*r = -2*l - 15792. List the prime factors of r.
2, 5, 79
Let z = 156 - 79. Suppose 0 = 2*b - 113 - z. List the prime factors of b.
5, 19
Let g = -4105 + 6220. List the prime factors of g.
3, 5, 47
Let k = 1004 - 281. What are the prime factors of k?
3, 241
Suppose -a - x = -3*x - 600, -4*a = -4*x - 2384. List the prime factors of a.
2, 37
Suppose 4*s - 7255 = 5*p, -5*s + 3*p + 5048 = -4024. List the prime factors of s.
3, 5, 11
Let i(q) = -12*q + 9. Suppose 20 = -5*l + d, 3*l + 2*d + 10 = -2. Let k be i(l). Let c = -33 + k. What are the prime factors of c?
2, 3
Suppose 0 = -2*y + 3*y - 14. Let v = y + -2. List the prime factors of v.
2, 3
Suppose 2*k + k - 3*n - 1362 = 0, -4*k - n + 1826 = 0. What are the prime factors of k?
2, 3, 19
Let n = -7 + 21. Suppose -r + 10 = -2*r. Let o = r + n. What are the prime factors of o?
2
Let t = 5659 + -2033. List the prime factors of t.
2, 7, 37
Suppose 0 = 3*k - 8*k + 90. Suppose -150 = 12*n - k*n. What are the prime factors of n?
5
Suppose 5*c = 130 + 100. Suppose 2*s - 2*i - 52 = 0, -2*s = 2*s + 2*i - 104. Let u = c - s. List the prime factors of u.
2, 5
Let o(x) = x**2 - 16*x - 17. Let h be o(17). Suppose -3*w + 43 + 23 = h. List the prime factors of w.
2, 11
Suppose 14*t - 16*t + 6 = 0. Suppose 2*a - 98 = 3*v, t*a = 4*a + 3*v - 40. Suppose l - 11 = a. What are the prime factors of l?
3, 19
Let v = -746 + 1767. List the prime factors of v.
1021
Let y be (-2)/(-8) + -641*(-21)/28. Suppose 11*c + 129 - y = 0. What are the prime factors of c?
2
Suppose -123*n + 130*n - 4956 = 0. List the prime factors of n.
2, 3, 59
Let w be (-3)/(-12) - 659/(-4). Suppose 5*r - w = 5*n, 5*n + 0*n - 159 = -4*r. Suppose -r*u = -32*u - 292. List the prime factors of u.
73
Let k = 47 + -45. Suppose 292 = 3*t + 2*t + c, -114 = -k*t + c. What are the prime factors of t?
2, 29
Let k(l) = 27*l**2 + 27*l - 88. What are the prime factors of k(9)?
2, 1171
Let y be -3*((-7)/(-3) - (0 - -3)). What are the prime factors of y/(-6) + (-7208)/(-51)?
3, 47
Let o(a) = -a**3 - 17*a**2 + 62*a + 8. List the prime factors of o(-22).
2, 7, 19
Let n be -19 + -1 + (-2 - -1). Let g be 5 + (-23)/((-46)/60). Let y = n + g. List the prime factors of y.
2, 7
Suppose 0 = 4*f - 3*x + 252, -6*f = -f + 4*x + 315. List the prime factors of 2/6 - 3066/f.
7
Let c(x) = x**3 + 11*x**2 + 9*x - 7. Suppose 0 = -4*d + h - 24, 0 = d - 2*d - 5*h - 27. What are the prime factors of c(d)?
2, 3, 7
Suppose 4*t - 3*z + 112 = -5*z, 4*z = -8. Let f = t + 66. List the prime factors of f.
3, 13
Let g(o) = 2*o**3 - 25*o**2 + 43. List the prime factors of g(15).
2, 73
Let o = -2 + 3. Let x be ((-198)/(-54))/((-1)/3). Let d = o - x. List the prime factors of d.
2, 3
Let k(i) = -i. Let p(j) = 29*j - 35. Let s(b) = -3*k(b) - p(b). List the prime factors of s(-4).
139
List the prime factors of 68/238 - 6380/(-14).
2, 3, 19
Let p be 10/(4*(-1)/(-2)). Let a = p + 0. Suppose -a*l = x - 130, -x + 52 = 4*l - 2*l. List the prime factors of l.
2, 13
Let j(m) = 699*m - 100. What are the prime factors of j(3)?
1997
Let p(v) = -v**3 - 2*v**2 + 10*v - 7. Let g be p(-5). List the prime factors of (g - 1)*(1 - -7).
2, 17
Let r = -68 + 673. What are the prime factors of r?
5, 11
Let d be ((-1230)/40)/(6/(-8)). Suppose d*p - 36*p - 365 = 0. What are the prime factors of p?
73
Let v = 191 - 124. Let f = v - 19. Suppose 5*d = -q + f, d = 5*d + 2*q - 42. List the prime factors of d.
3
Let l = -33 + 28. Let w be -23 - (-1 - l - 5). Let v = w - -66. What are the prime factors of v?
2, 11
List the prime factors of (-1)/11 + 8251/11.
2, 3, 5
Let z(t) be the second derivative of -t**4/12 - t**3/3 + 3*t**2/2 + 2*t. Let h be z(-3). List the prime factors of h + 3 - (-22 + 1).
2, 3
Suppose -d = 5*r - 3*d - 143, 5 = 5*d. Let k(f) = -3*f - 2. Let s be k(-2). Suppose y = 3*n + 23, r = s*y + 2*n - 7. What are the prime factors of y?
11
List the prime factors of (-6)/8*-2*95364/81.
2, 883
Let w = 22 + -9. Let k = -9 + 11. Suppose k*p - w = 15. What are the prime factors of p?
2, 7
Let g(d) = -11 + 46*d**3 + 0*d**2 - d**2 - d + 12. List the prime factors of g(1).
3, 5
Let b(d) = 3*d + 20. Let w be b(-5). Suppose 0 = -5*g + w*l + 300, g + 2*l + 28 = 103. What are the prime factors of g?
5, 13
What are the prime factors of ((-2792)/32)/((-3)/36)?
3, 349
Suppose 25 = -3*x - 2*u, -3*x - 4*u - 24 = -1. Let y(q) = -q**2 - 13*q - 16. List the prime factors of y(x).
2, 5
Let f(o) = -2*o - 7. Suppose 5*p - 20 = p. Let h(k) = -k**3 + 4*k**2 + 4*k - 6. Let j be h(p). List the prime factors of f(j).
3, 5
Let x be ((-25144)/20)/(-7) + 3/(-5). Let s = x - 90. List the prime factors of s.
89
Suppose -2*g + 10 = -2*t, 6*g + 2 = 4*g - 2*t. What are the prime factors of g - (-58 - (7 - 3))?
2
Let v(i) = i**3 - 20*i**2 - 21*i + 7. Let k be v(21). Let r = 35 + k. What are the prime factors of r?
2, 3, 7
Suppose 0 = 40*n - 21610 + 4250. List the prime factors of n.
2, 7, 31
Suppose 2*y - 3740 = -8*y. What are the prime factors of y?
2, 11, 17
Suppose 2*s - 3*s + 4*h = -6, 0 = -3*h + 12. What are the prime factors of 2/(-4) + 1551/s?
2, 5, 7
Let o = 1740 - 969. Suppose -2*y - 7*s = -2*s - 297, -3*s + o = 5*y. List the prime factors of y.
2, 3, 13
Suppose -s + 4*o + 20 = 0, -4*s + 2*o - 3*o + 12 = 0. List the prime factors of 35/s*-2*6/(-5).
3, 7
Let d(f) = f**3 + 10*f**2 + 4*f - 4. Let j(t) = -3*t**3 - 19*t**2 - 9*t + 7. Let z(x) = 5*d(x) + 2*j(x). Let p = 4 + 8. List the prime factors of z(p).
2, 3
What are the prime factors of 4716/3 + (4 - -4)?
2, 5, 79
Let z = 49 - 74. Let p = 27 + z. List the prime factors of p.
2
Let k(n) = 88*n**3 - 8*n**2 + 4*n + 4. List the prime factors of k(2).
2, 3, 19
Let c be 9372/77 + 4/14. Suppose 658 = 3*l - c. What are the prime factors of l?
2, 5, 13
Suppose 4*c + 2*u + 3*u = 2657, -5*u = -25. What are the prime factors of c?
2, 7, 47
Suppose 0 = k + 6*u - 5*u - 4688, 4700 = k - 2*u. List the prime factors of k.
2, 3, 17, 23
Suppose -48*u = -18090 - 12438. What are the prime factors of u?
2, 3, 53
Let w be ((-2)/3)/((-5)/(-240)). Let h = w - -91. List the prime factors of h.
59
Let t(o) = 2*o - 20. Let r be t(12). Let c(p) = 1 - 8 + 0*p + 5*p. List the prime factors of c(r).
13
Let g(a) be the first derivative of -17*a**2 + 16*a - 23. List the prime factors of g(-3).
2, 59
Let s = -39 + 57. Let q(u) = -u**3 + 18*u**2 + 11*u - 21. List the prime factors of q(s).
3, 59
Suppose -39*j = -44*j + 50. Suppose o - l - 3 = l, 5*l = -o + j. What are the prime factors of o?
5
Let f be (-6)/21 - 515/35. Let m = 101 - f. Suppose -4*h - 2*t + m + 158 = 0, -2*t - 188 = -3*h. List the prime factors of h.
2, 3, 11
Suppose -3 - 9 = -3*f. List the prime factors of 110/3 + f/12.
37
Let m(k) = -134*k + 16. Let t be m(6). Let c = 1125 + t. What are the prime factors of c?
337
Suppose -t = -3*t. Suppose t = 2*p - 0*p - 12. List the prime factors of (4 - 9/p)*2.
5
Let o = 36 + -30. Let b be o/(-12)*12/2. List the prime factors of (b - -2)*(-53 - 6).
59
Let i(o) be the third derivative of 59*o**5/20 - 5*o**4/24 - o**3/6 - 14*o**2. What are the prime factors of i(-1)?
181
Suppose 12*v = 19*v - 2681. List the prime factors of (-1 + v)*10/20.
191
Let p(s) = -s**3 + 16*s**2 - 20*s - 1. Suppose -5*b - 41 = -g - 3*g, -2*g = -3*b - 19. What are the prime factors of p(g)?
3, 37
Suppose -32150 = -9*z - 8966. List the prime factors of z.
2, 7, 23
Suppose -3*q + 489 = 4*s, 0 = -2*s + 2*q - 0*q + 262. Suppose -4*k + s = -k. Suppose -4*g + k = 3*c - 17, -70 = -4*c - g. What are the prime factors of c?
17
Suppose 5*a + 0*d - 3317 = -3*d, -a = -3*d - 649. What are the prime factors of a?
661
Let o = 71 + -35. Let d = 1 + o | {
"pile_set_name": "DM Mathematics"
} |
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