text
stringlengths
270
8.19k
meta
dict
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 Find the common denominator of 163/240 and -233/15297450. 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 What is the common denominator of -53/32402776 and -93/14? 32402776 Find the common denominator of -23/138681 and 93/2066. 286514946 What is the lowest common multiple of 14880 and 30020? 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 What is the common denominator of -31/106536 and 79/2700456? 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 What is the common denominator of 23/875500 and 19/10? 875500 Find the common denominator of -143/28992 and 5/2239632. 8958528 What is the least common multiple of 1573286 and 2288416? 25172576 Calculate the common denominator of 71/126 and 13/227394. 1591758 Calculate the least common multiple of 34174096 and 32. 68348192 What is the common denominator of 39/682 and 39/13392775? 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" }