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(3*m**2 - 5*m**2 + 5*m**2)*(7*m**2 + m - 9*m**2 + 171 - 173). -6*m**4 + 3*m**3 - 6*m**2 Expand 1671*m - 159*m**5 - 1671*m - 4*m**5 + 3*m**5 + 2*m**5 - 3*m**5 + 0*m**5 + 2*m**5 - m**5 + 3*m**4 - 3*m**4 + (2 - 2 + 2*m**3)*(-3*m**2 + 4*m**2 - 3*m**2). -164*m**5 Expand (-8 - 2*d + 8)*(4 - 1 - 1)*(-3 + 13 + 5). -60*d Expand (-4 + 6 + 1 + (1 - 8 + 1)*(-5 + 4 - 1) + 3 + 1 - 1)*(d**3 + 0*d**3 + d**3). 36*d**3 Expand (0*c + 3*c - 2*c)*(-3*c**4 + 9*c**4 + 0*c**4) + (5*c + 0*c - 2*c)*(8 - 12*c**2 - 8)*(4*c**2 - c**2 - 2*c**2) - 2*c**3 + 2*c**3 - c**5. -31*c**5 Expand (n**2 + 2*n**2 - 2*n**2 - 5*n**2 + 2*n**2 + 4*n**2 + (0*n + 5*n - 3*n)*(2*n + 0 + 0) - n**2 + 5*n**2 - 2*n**2)*(-3 + 3 - 2*n). -16*n**3 Expand (-9 + 3 - 20)*(-17 + 7 + 11*j - 10*j). -26*j + 260 Expand (7*c - 3*c - 3*c)*(3*c**3 + 2*c**3 - 6*c**3)*(5 - 14 + 3)*(c - 4*c + c). -12*c**5 Expand (c + c - c)*(0*c - c + 3*c + (2 + 0 + 0)*(-3 + c + 3) + (9 - 19 - 26)*(4 - 4 - 2*c) + (2 - 2 + 2)*(1 - 1 - 2*c) + 0*c - 2*c + c). 71*c**2 Expand (-79 - 81 + 163)*(-7*f - 6*f + f). -36*f Expand 2*u + 5 - 5 + (-7 + 58 - 6)*(0*u + 2*u + 0*u). 92*u Expand (2*i**2 - 4*i**2 + 0*i**2)*(-32 - 17*i + 32) + 3*i**3 - 4*i**3 - i**3 + (2*i**2 - 7*i**2 + 3*i**2)*(2*i - i + i) - 4*i**2 - 2*i**3 + 4*i**2. 26*i**3 Expand (-29*d**4 + 2*d**4 - 19*d**4)*(0 - 4 + 1). 138*d**4 Expand ((5*k - 2*k - k)*(k**3 + 2*k**3 - k**3) + 3*k + 56*k**2 + 2*k**4 - 56*k**2 - 2*k**3)*(6 + 10 + 2). 108*k**4 - 36*k**3 + 54*k Expand (19 + 12 - 7)*(2 - 1 + 2)*(u**3 - u**3 - 2*u**3) + (4*u - 4*u + u)*(6*u**2 - 3*u**2 + u**2). -140*u**3 Expand (22 - 6 + 25 - 6)*(6*u + u + 11*u**4 - 12*u**4). -35*u**4 + 245*u Expand (-2*r + 2*r - 2*r)*((0 + 0 - 2)*(-4 + 6 - 1) + 4 + 3 + 0 + (-2 + 1 + 2)*(1 + 0 + 3)). -18*r Expand (-2 + 3 + 0)*(-l**2 + 6*l**2 - 3*l**2) + 617*l**2 + 46612 - 46612 - 2*l - l + l**2 + l**2. 621*l**2 - 3*l Expand (f + 2*f - 2*f)*(3*f - 3*f + 2*f) - 1 + 1 + f**2 + (-5 - 4 + 5)*(0 - 2*f**2 + 0). 11*f**2 Expand (-30 - 3*d**2 + 30)*(-1 - 2 - 1). 12*d**2 Expand (-17 + 17 - 8*q)*(-4 + 2 - 11)*(3 - 5 + 3)*(-1 + 4 - 1). 208*q Expand (1 + 0 + 1)*(-19*w**2 - 25*w**2 + 45*w**2 - 21*w)*(4*w + 2*w - 5*w)*(-3*w**2 + 0*w**2 + 6*w**2). 6*w**5 - 126*w**4 Expand (43 + 56 - 4)*(2*z**3 + 5 - 5) + z**3 - 3*z**3 + z**3 + z**2 + 0*z**2 + 0*z**3 - 2*z**3. 187*z**3 + z**2 Expand (0*w**2 - 2*w**2 + 4*w**2)*(0 + 1 - 2)*(-27*w**2 - 14*w**2 + 9*w**2 + 3*w). 64*w**4 - 6*w**3 Expand (-7*g**2 - 13*g**2 + 4*g**2)*(6*g - 3 - 7*g + 2). 16*g**3 + 16*g**2 Expand (115*j**2 + 5*j + 8 - 117*j**2 - 3)*(-1 + 1 + 14). -28*j**2 + 70*j + 70 Expand (-6*q - 217 + 32*q - 24*q)*(0*q + 0*q + q). 2*q**2 - 217*q Expand (753 + 2 + 496 + 201)*(-d**4 + 0*d**3 + 0*d**3). -1452*d**4 Expand (-4*j**3 + 0*j**3 + 3*j**3)*(397*j - 94*j + 49*j). -352*j**4 Expand 17*u + 13 - 14 - 2 - 6*u**2 + 0*u**2 + 2*u**2 - u**2 + (-u + 4*u - u)*(-1 + 1 + u). -3*u**2 + 17*u - 3 Expand (0*o + 0*o + 4*o)*(7365*o + 39*o**2 - 7363*o - 9*o**2). 120*o**3 + 8*o**2 Expand (943 - 13*v**2 - 943)*(2*v**2 - 4*v**2 - 3*v**2). 65*v**4 Expand ((-2 + 1 + 3)*(-q - 3*q + 2*q) + 40*q + 54 - 54)*(2*q + 0*q - 2 - q). 36*q**2 - 72*q Expand ((-2 + 0 - 1)*(0*a + 0*a + 2*a) - 2*a - 10 + 10)*(-4*a + 1 - 1). 32*a**2 Expand (383*s - 383*s + 6 - s**2)*(2*s**2 + s - s). -2*s**4 + 12*s**2 Expand (4 + 0 - 2)*(0*c**5 + 7*c**5 + 0*c**5) + (7*c**3 + 3*c**3 - 3*c**3)*(-2*c**2 + 4*c**2 - 3*c**2). 7*c**5 Expand (-1488 + 205*z**5 + 1488 + z**4)*(-5 + 0 + 3 + 2 + 0 + 0 + (-2 + 2 + 2)*(1 + 2 - 1)). 820*z**5 + 4*z**4 Expand (6*f - 2*f - 3 - 5*f)*(f + 10*f + 16*f). -27*f**2 - 81*f Expand (-2*o + 3*o - 2*o)*(-2*o - o + 2*o) + 5*o - 5*o + o**2 + 5 - 1592*o + 1592*o - 15*o**2. -13*o**2 + 5 Expand -35*r**5 - 57988*r**2 + 57988*r**2 + (-3*r**4 + 4*r**4 - 2*r**4)*(2*r - r + r). -37*r**5 Expand (0*c - c + 2*c)*(1 - 4 + 1)*(0*c - 2*c**2 + 0*c)*(113*c - 26*c - 8*c). 316*c**4 Expand -2*w**2 + w + 370 - 370 + (0*w + 2*w + 0*w)*(3*w - 2*w - 2*w) + 2*w**2 - 3*w**2 - w**2 - 4*w + 4*w - 2*w**2 + 4 - 4 + 2*w**2 - 2*w**2 - 3*w**2 + 0*w**2. -11*w**2 + w Expand 3 + 2*h - 3 + (-40*h - 134*h + 37*h)*(4 - 4 - 2). 276*h Expand (-3*n**2 + 3*n - 2*n - 8*n)*(-2 - 3 + 4). 3*n**2 + 7*n Expand (374*h - 15641 + 15641)*(-3 + 2 + 2). 374*h Expand 159*l - 159*l - 22*l**4 + (-1 + 1 - l**4)*(-1 + 0 - 1). -20*l**4 Expand -2*z**3 + 2*z**3 + 3*z**5 + 6*z**3 - 3*z**3 - z**3 - 3*z**5 + (z**5 + 0*z**5 + 0*z**5)*(0 + 1 + 3). 4*z**5 + 2*z**3 Expand (1 - 2*a - 1)*(-1 + 4 - 2) + 0 - 2*a + 0 + 2*a + 0*a + 0*a - 8*a + 4 + 7 - 5. -10*a + 6 Expand (-14*v - 8*v - 4*v)*(-8 - 7 + 1 + v). -26*v**2 + 364*v Expand (0 - 2 - 5)*(-4*j**3 - 10*j**3 + 8*j**3) + (5 + 6*j - 5)*(3*j**2 - 4*j**2 - 2*j**2). 24*j**3 Expand (2 - 1 + 1)*(-2*m**4 + m**4 + 0*m**4) - 2*m**4 - m**4 + 4*m**4 - 39*m**4 + 18*m**3 - 18*m**3 + 2*m**2 + 2*m**4 - 20 + 20. -38*m**4 + 2*m**2 Expand (-h + 2*h + h)*(2 - 1 + 1)*(3 - 31*h - 48*h + 55*h). -96*h**2 + 12*h Expand (-q - 1 + 1 - 4 + 4 + 2*q + (3 - 4 + 3)*(q + 4 - 4) - 4 - q + 4 + q - 4*q + 5*q + (-7*q + 2*q + 3*q)*(5 - 15 + 1))*(-2*q**3 - 6*q**3 + 4*q**3). -88*q**4 Expand (1 - 1 + b)*((0 - 1 + 3)*(-b + 0*b - b) + 2*b + 2*b + b). b**2 Expand (-6*o + 5*o + 6*o)*(3 + 4*o - 1 - 3*o) - 10*o + 10*o - 4*o**2. o**2 + 10*o Expand (-10*y - y**2 + 10*y)*(-y**2 - y**2 + 4*y**2) + 9*y**4 + 3*y**4 + 2*y**4 + 1 + 2*y**2 - 2*y**4 + y**4 + 3*y**4. 14*y**4 + 2*y**2 + 1 Expand (1 - 2*w**2 - 1)*((1 + 3 - 5)*(7*w + 2*w - w) + 2*w - 6*w + 2*w + w - 3*w + 4*w) + 0*w**3 - 3*w**3 + 2*w**3. 15*w**3 Expand (-12*n - 29 + 29)*(5*n - 3*n + 16 - 22). -24*n**2 + 72*n Expand (-5*t - 7*t - 9*t)*(-51 - 9 - 35 + 4). 1911*t Expand (-3*i + 0*i + 0*i)*((-2 - 1 + 1)*(0*i**2 + 2*i**2 - 4*i**2) + 2*i**2 + 3*i**2 + i**2 + (0*i - 3*i + 2*i)*(i - 5*i + 3*i)). -33*i**3 Expand (p + 0 + 0)*(10 + 33 - 16 + (1 + 0 + 0)*(-2 + 1 + 0)). 26*p Expand (-1 + 6 - 1)*(-3*t - t + 2*t)*(0 + 4 - 2)*(-1 - 1 - 1) + t + 2*t - 4*t. 47*t Expand (0 + 2 + 0)*(-2*v + 57 + 59 - 117)*(-15 + 2 + 1). 48*v + 24 Expand (-1 - 1 - 3 + (5 + 1 - 4)*(-2 - 2 + 2))*(-1488 + 1488 - 36*m). 324*m Expand c**3 - c + c + (c**2 + c**2 + 0*c**2)*(3*c + 3*c - 4*c) + (13*c**2 + 0*c**2 + 5*c**2)*(0*c + c - 3*c). -31*c**3 Expand 0*t**3 + 0*t**3 - t**3 + 3 + t**3 - 3 + (-2*t + 2*t**2 + 2*t)*(-2*t - t + t) - t**3 + 0*t**2 + 0*t**2 + 75*t - 9*t + 12*t - t**3. -6*t**3 + 78*t Expand (1 - 1 - 2*h)*(-2*h**2 + 2*h**2 - h**2) + 10*h**3 - 25556*h**2 + 5 + 25556*h**2. 12*h**3 + 5 Expand (-3*n + 17*n**2 - 62*n**2 + 27*n**2 + 2)*(8 - 2*n - 8). 36*n**3 + 6*n**2 - 4*n Expand (0 + 0 + 1 + (4 - 3 - 2)*(-1 - 5 + 4) - 5 + 16 + 7)*(3*k - 4*k + 6*k). 105*k Expand (0 - 2 + 4)*(1 + 2 - 1)*(-1 + 1 + 2*c) + (4*c + 36*c - 8*c)*(-1 - 1 + 0). -56*c Expand 5944*a**4 - 2979*a**4 - 4 + 2*a + a**3 - 2986*a**4 - 3*a**2 + 5*a**4 + 3*a**2 + (0*a - 3*a + a)*(7*a**3 - 3*a**3 - 3*a**3). -18*a**4 + a**3 + 2*a - 4 Expand (-10*b - 24*b**2 + 3*b + 5*b)*(13*b - 13*b - 8*b**3). 192*b**5 + 16*b**4 Expand -33*y**3 - 17*y**3 + 32*y**3 - y**3 - y**3 + 4*y**3 + (2*y**2 - 4*y**2 + y**2)*(4 - y - 4). -15*y**3 Expand -9*g + 9*g - 6*g**4 + 4 - 4 + 3*g**4 + (2*g**4 - g**2 + g**2)*(7 - 4 - 2) + g**4 + 0*g + 0*g - 4*g**4 + 3*g**4 + 3*g**4 + 4*g**4 + g**4 - 3*g**4. 4*g**4 Expand (-14 + 14 - 5*x)*(-3 + x + 3 + (-13*x - 30 + 30)*(2 + 1 - 1)). 125*x**2 Expand (1 - 3 + 4)*(2*b - 5*b + 2*b)*(-3*b**3 - 4*b**2 + 4*b**2) - 150*b - 15*b**4 + 150*b. -9*b**4 Expand ((5 + 4*r - 5)*(-2 - 1 + 5) - 3*r + 2*r + 2*r)*(-3*r + 0 + 5 - 3). -27*r**2 + 18*r Expand (-2 + 1 + 2)*(-6*t + 3*t + 5*t) - 2444 + 2*t + 1214 + 1265. 4*t + 35 Expand (3*c**3 + 51*c**3 - 23*c**3)*(-162 + 162 - 14*c**2). -434*c**5 Expand 4*y**3 - 3*y - 6*y + 11*y - 2*y**3 + 3*y**3 - 2*y**3 + (y**2 + y**2 + 0*y**2)*(-4*y - 2*y + 5*y). y**3 + 2*y Expand (-2*z**2 - 35 + 35)*((2*z + 2*z - 5*z)*(-2*z - 4*z + 4*z) + (-3 + 3 - 2*z)*(0*z + 0*z - z)) + 7*z**2 - 7*z**2 + 3*z**4. -5*z**4 Expand (0*t - t**2 + 0*t)*(-246 + 53 - 180)*(-3*t + 2*t - 2*t). -1119*t**3 Expand (-5 + 5*l - 5*l - l)*(4*l + 0 + 0). -4*l**2 - 20*l Expand (10*a + 3*a - 11*a)*(-4*a**2 + 2*a - 2*a). -8*a**3 Expand (-4 - 2 + 2)*((3 + 0 - 2)*(5 - 1 - 3) + 2 - 2 + 5)*(0*c + 5*c + 0*c)*(1 - 2 - 2). 360*c Expand (1 - 3 - 1)*(6*j - 3*j + 0*j)*(29*j + 7*j - 11*j). -225*j**2 Expand (6 + 3*r - 6 + (-1 - 1 - 5)*(-r + r + 2*r) + 1 - 1 + r)*(2*r +
{ "pile_set_name": "DM Mathematics" }
) be the first derivative of 1 + 0*o**2 + 4*o + 3*o - o**2. What is f*t(c) - 6*g(c)? 2*c - 1 Let u(z) = z + 1. Let f(d) be the second derivative of d**3/2 + 3*d**2/2 + 15*d. Give f(k) - 2*u(k). k + 1 Let g(n) = n**2 + 2*n - 4. Let y(s) = -3*s**2 - 4*s + 7. Suppose -2*u = -7*u + 35. Give u*g(t) + 4*y(t). -5*t**2 - 2*t Suppose 0 = r - 2*y - 18, 0*r + 2*r = -5*y. Let x(b) = 6 - r*b + 0 + 6 + 4. Let t(o) = 2*o - 3. Determine 16*t(a) + 3*x(a). 2*a Let b(c) = -c - 1. Let j(d) = -8*d - 7. Calculate -6*b(v) + j(v). -2*v - 1 Let s(r) = r**3 + 3*r**2 + 7*r. Let u(y) = -y**3 - 4*y**2 - 8*y. Give -5*s(w) - 4*u(w). -w**3 + w**2 - 3*w Let u(w) = 7*w - 2. Let y(b) = 29*b - 8. What is -9*u(m) + 2*y(m)? -5*m + 2 Let d(p) = 5. Let m(a) = 4*a - 5. Let l(z) = -3*z + 3. Let s(n) = -7*l(n) - 5*m(n). Give 2*d(k) - 3*s(k). -3*k - 2 Let k(f) = -7*f**2 + 7 - 3 - 10. Let u(p) = 3*p**2 + 3. Give 2*k(g) + 5*u(g). g**2 + 3 Let o(g) = -15*g**3 + 2*g**2 - 2*g + 2. Let v(x) = -375*x**3 + 51*x**2 - 51*x + 51. Calculate 153*o(f) - 6*v(f). -45*f**3 Let i(f) = 4*f + 9. Let x(p) = -6*p - 8. Give -3*i(v) - 4*x(v). 12*v + 5 Let f(r) = 4*r + 17. Let y(k) = -4*k - 4. Let w(i) = -11*i - 12. Let x(v) = -3*w(v) + 8*y(v). Let n be 2*4/8*2. What is n*f(u) - 9*x(u)? -u - 2 Let i(r) = -r**3 + 2*r**2 + 71. Let h(b) = -b**3 + 3*b**2 + 71. Give -2*h(n) + 3*i(n). -n**3 + 71 Let p(g) = 17 + 11*g - 3*g**2 - 3*g**3 + 2*g**2 - 7*g**2. Let f(m) = m**3 + 3*m**2 - 4*m - 6. Calculate 11*f(l) + 4*p(l). -l**3 + l**2 + 2 Let j(u) = -5*u**3 + 2*u + 2. Let c(o) = -685*o**3 + 295*o + 295. Let x(y) = 114*y**3 - 49*y - 49. Let q(v) = -4*c(v) - 25*x(v). What is 45*j(z) - 2*q(z)? -5*z**3 Let m(x) = x - 2 + 2*x + x**2 - 2*x - 3*x. Suppose 0 = -2*h - h + 6. Let y(r) = h + r + 1 - 1. Give -2*m(p) - 3*y(p). -2*p**2 + p - 2 Let s(u) be the first derivative of 2 + 0*u - 5/2*u**2. Suppose -239 = -37*v + 168. Let c(g) = g. Determine v*c(w) + 2*s(w). w Let y(u) = 7*u**3 - 5*u**2 - 5. Let k(d) be the second derivative of d**5 - 7*d**4/6 - 7*d**2 + d. Let o = -182 - -196. What is o*y(f) - 5*k(f)? -2*f**3 Let c(f) = 14*f + 7. Let n(t) = 5*t + 2. Let w(h) = 3*c(h) - 8*n(h). Let y(q) = -q - 3. Let d(l) = -l**2 - 8*l + 58. Let o be d(-12). Determine o*y(i) + 6*w(i). 2*i Let o(c) = 0 - 3 - 11*c + 2*c - c**2. Let q(t) = 2*t**2 + 14*t + 5. Determine 8*o(d) + 5*q(d). 2*d**2 - 2*d + 1 Let z(s) = 3*s - 14. Let i(r) = r - 5. Determine -8*i(q) + 3*z(q). q - 2 Let c(k) be the third derivative of -k**5/60 + k**4/12 + k**2. Let h(n) = -6*n**2 + 11*n. Suppose 2*v + 12 = 6*v. Let l = v - 5. Determine l*h(f) + 11*c(f). f**2 Let t(c) = -11*c - 3. Let i(a) = 6*a + 1. Determine 7*i(j) + 4*t(j). -2*j - 5 Let g(a) = 7*a**2 + 6*a + 8. Let n(s) = -15*s**2 - 13*s - 17. Suppose 8*p + 13 = 7*p. What is p*g(r) - 6*n(r)? -r**2 - 2 Let o(q) = 6*q - 10*q + 8*q - q - 2. Let p(s) = -3*s + 2. Give -3*o(g) - 2*p(g). -3*g + 2 Let u(g) = g**2 - 7*g. Let n be u(6). Let x(l) = 14*l + 17. Let z(m) be the first derivative of 5*m**2/2 + 6*m + 4. Calculate n*x(c) + 17*z(c). c Suppose 2*c - 2*l = -l - 12, -3*c - 2*l - 25 = 0. Let d(p) = 0*p - 4*p**2 + 2 - 3*p - p. Let h(u) = 2*u**2 + 2*u - 1. What is c*h(s) - 3*d(s)? -2*s**2 - 2*s + 1 Let i(o) = -2*o**3 + 3*o**2 - 5*o - 1. Suppose -2*q - 10 = 0, q - 5*q = 3*h + 29. Let u(w) = -w**3 + 2*w**2 - 3*w - 1. Give h*i(t) + 5*u(t). t**3 + t**2 - 2 Let g(h) = 17*h**3 - 5*h**2 - 5*h. Let m(i) = -12*i**3 + 3*i**2 - 8*i**3 - i**2 + 12*i**3 + 2*i. Determine 2*g(j) + 5*m(j). -6*j**3 Let l(j) = 48*j - 10. Let d(g) = -16*g + 3. Give 10*d(y) + 3*l(y). -16*y Let u(m) = m**2 - 3*m + 8. Let g(s) = s**2 - s. Give 3*g(l) - u(l). 2*l**2 - 8 Let u(s) = 25*s - 5. Let g(p) = 12*p - 2. Determine -5*g(v) + 2*u(v). -10*v Let s(w) = -293 + 587 - 293. Let v(b) = -5*b - 1. Give -s(y) - v(y). 5*y Let h(a) = -29*a - 16. Let s(o) = 15*o + 8. Let y(g) = 6*h(g) + 11*s(g). Let q(l) = 7 - 4*l + 12*l + 0. What is -7*q(z) - 6*y(z)? -2*z - 1 Suppose 3*o - 2 + 35 = 0. Let t = -17 - o. Let n(i) = 20*i + 6. Let k(u) = 7*u + 2. What is t*n(f) + 17*k(f)? -f - 2 Let a = 18 + -20. Suppose -4*s = -21 + 1. Suppose -s*x - 15 + 4 = 4*f, x = 5. Let g(z) = -2. Let y(q) = -q**3 + 9. Calculate a*y(d) + f*g(d). 2*d**3 Let f(x) = x - 1. Let l(k) = -11*k + 3. Calculate -5*f(u) - l(u). 6*u + 2 Let g(r) = r**2 - 4*r + 1. Suppose 2*s = -3 + 1. Let i(t) = -t. Let f(d) = s*g(d) + 4*i(d). Let b(v) = -6*v**2 + 2*v - 6. Give b(x) - 4*f(x). -2*x**2 + 2*x - 2 Let z(x) = x**3 - 3*x**2 - 4*x - 1. Let g be z(4). Let f(l) = l**2 + l - 1. Let y(k) = 3*k**3 + 6*k**2 + 6*k - 6. Determine g*y(n) + 6*f(n). -3*n**3 Let f(k) = 10*k**2 + 4*k - 4. Let j(l) = -9*l**2 - 5*l + 5. Give -5*f(i) - 4*j(i). -14*i**2 Let f(y) = 2 - 4 + 4 + 7*y - 3. Let u(p) = 6*p - 2. Let t(w) = -3*f(w) + 4*u(w). Let r(j) = -j + 2. Calculate 11*r(c) + 4*t(c). c + 2 Let v(j) = -46*j - 4. Let g(f) = -23*f - 2. What is 7*g(l) - 3*v(l)? -23*l - 2 Let f be 4*3*(-3)/(-9). Let g(i) = 2 + 3 - 5*i - f + 3. Let b(n) be the second derivative of 2*n**3/3 - 3*n**2/2 - n. Give 4*b(c) + 3*g(c). c Let k(p) = -2*p. Let c(u) = -3*u. Let y(s) = -s**3 + 7*s**2 + s - 4. Let v = -11 + 18. Let i be y(v). Let q be (-10)/(-6)*i/(-1). Calculate q*k(f) + 3*c(f). f Let n(u) = u. Let h(d) = 5*d. Let y(t) = -h(t) + 6*n(t). Let v(w) = 2*w + 4. Let k(m) = 2*m + 3. Let o(a) = -4*k(a) + 3*v(a). Calculate -4*o(g) - 7*y(g). g Let y(n) = -2 - 2*n**2 + n**3 + 2*n**3 + 0. Let x(c) = 7*c**3 - 5*c**2 - 5. Let r = 1 + 1. Let f = r + -7. What is f*y(a) + 2*x(a)? -a**3 Let r(p) = 6*p - 3. Let j(x) = 860*x - 446*x - 444*x + 14. Calculate -3*j(z) - 14*r(z). 6*z Let n(t) = -3*t**3 - 3*t**2 + 1. Let j be n(-2). Let z = 37 - j. Let o(k) = k**2 - k - 1. Let q(h) = 7*h**2 - 8*h - 8. Calculate z*o(f) - 3*q(f). 3*f**2 Let p be (-2)/17 - 192/102. Let f(z) = -5*z**3 + 9*z - z**3 + z**3. Let o(k) be the third derivative of -k**6/120 + k**4/12 - 2*k**2. Determine p*f(j) + 9*o(j). j**3 Let m(i) = -4*i**2 - 7*i - 9. Suppose -t - 28 = -5*t. Let f(k) = 3 - 6 + 4*k + 2*k**2 + 5 + 3. Give t*f(w) + 4*m(w). -2*w**2 - 1 Let m be (-12)/(-5) - 16/40. Suppose -7*q = -2*q - 10. Let s(t) = -q - 6 - 5*t**2 - m*t**3 + 2 + 4*t**3. Let d(c) = -3*c**3 + 9*c**2 + 11. Give 4*d(b) + 7*s(b). 2*b**3 + b**2 + 2 Let z(t) = -t**3 + 6*t**2 - 8*t - 4. Let s be z(3). Let i(u) = u + 1. Let k(j) = j**2 + 5. Give s*k(m) + 2*i(m). -m**2 + 2*m - 3 Let r(y) = 4*y**3 + 3*y**2 - 6*y + 1. Let p(c) = 2*c**3 + c**2 - 3*c. What is 7*p(m) - 3*r(m)? 2*m**3 - 2*m**2 - 3*m - 3 Let k(u) = 3*u - 3. Let d(n) = -9*n + 10. Calculate -6*d(t) - 21*k(t). -9*t + 3 Let m(a) = -3*a**2 + 9*a + 12. Let s(r) = r**2 - 4*r - 6. Calculate -4*m(q) - 9*s(q). 3*q**2 + 6 Let t(d) = -2*d**3 + d**2 - 5*d + 2. Let g(j) be the second derivative of -j**5/20 + j**4/12 - j**3/2 + j**2/2 + 26*j. Give 5*g(b) - 3*t(b). b**3 + 2*b**2 - 1 Let f(j) = -j + 5. Let c(g) = -1. Let d(o) = o**3 - 7*o**2 - 10. Let u be d(7). Let x = u - -9. Calculate x*f(w) - 5*c(w). w Let w(t) be the first derivative of 4*t**3/3 - 3*t**2/2 - 3*t - 4. Let k(b) = 3*b**2 - 2*b - 2. Calculate 5*k(z) - 4*w(z). -z**2 + 2*z + 2 Let r(q) = q**2 - 12*q + 5. Let k be r(12). Suppose 4*m - 6 = -k*w, -2*m + 4*w = 1 + 9. Let b(g) = -g**2 - g. Let a(s) = 4*s**2 + 6*s. Give m*a(d) - 6*b(d). 2*d**2 Let n(x) = 4*x**2 - 7*x - 7. Let a be -17*(-3 - -4) + 6/2. Let l(q) = -q**2 + 2*q + 2. What is a*l(o) - 4*n(o)? -2*o**2 Let p(m) = 5*m - 4. Let q(b) = -4*b + 5. Give 3*p(s) + 2*q(s). 7*s - 2 Let m(q) = -q + 1. Let n(a) = -3*a + 3. Give 5*m(b) - 2*n(b). b - 1 Let d(f) = -3*f + 1 - 1 - 1 + 2. Let t(m) = -1. Give -d(g) - 2*t(g). 3*g + 1 Let n(b) = 15*b + 8. Let i(s) = 29*s + 15. Calculate 6*i(d) - 11*n(d). 9*d + 2 Let p(m) = m - 5. Let x(s) = -s + 1. Let l = -9 + 10. Suppose -d + 2*i = -1, -4*d + i + 2*i - l = 0. Give d*p(v) - 3*x(v). 2*v + 2 Let q(j) = 7*j**2 - 4*j - 4. Let a(g) = 99*g**2 - 55*g - 55. Give -4*a(y) + 55*q(y). -11*y**2 Let o(s) = 75*s + 8. Let b(q) = -14626*q - 1562. Determine 4*b(v) + 781*o(v). 71*v Let h(g) = -2*g - 15. Let c(w) = -w - 8. Let x be 2/3 + 26/6. Suppose 0 = b + 3*b - 4, x*b + 25 = 5*p. Give p*h(d) - 11*c(d). -d - 2 Let o(f) = 5*f + 3. Let t(p) = -5*p - 4. What is 6*o(s) + 5*t(s)? 5*s - 2 Let h(r) = r**3 - r. Let p(d) = 4*d**3 - 8*d. Give 5*h(m) - p(m). m**3 + 3*m Let y(s)
{ "pile_set_name": "DM Mathematics" }
- 8*g**2 - 15 - 3*g**2 wrt g? -78*g + 2 Suppose 22 = 12*j - j. Let t(h) = -29*h**2 + 21*h. Let w(q) = -14*q**2 + 11*q. Let v(k) = j*t(k) - 5*w(k). What is the second derivative of v(d) wrt d? 24 Suppose -8*g + 15 = -169. Find the second derivative of 4*n - 32 - g*n**2 + 110 - 34 - 36 wrt n. -46 Suppose 0 = 3*r + c - 517, 0 = r + 4*r + 4*c - 857. Differentiate 276*l**4 + r*l**4 - 343*l**4 - 182 wrt l. 424*l**3 What is the first derivative of 1512 - 2914*r + 4235*r + 2183*r + 846*r wrt r? 4350 What is the derivative of 1226386*v + 2098*v**4 - 1226386*v - 2568 wrt v? 8392*v**3 What is the second derivative of -1023*v - 448*v - 2*v**4 + 3879*v + 5*v**3 - 370*v**2 - 1429*v wrt v? -24*v**2 + 30*v - 740 Suppose 0 = -9*t - 4*t + 26. Suppose -6*b = -t + 2. What is the first derivative of -1 + 38*m**3 + b - 82*m**3 wrt m? -132*m**2 Suppose 0 = -4*n - 1 + 13. Suppose 1 - 16 = -3*l + q, -n*l - 3*q = -15. Find the third derivative of 14*u**2 - 13*u**5 + 0*u**5 + u**l wrt u. -720*u**2 Suppose 4*y = -b + 29, y + 17 = 5*y + 5*b. Let i be (-120)/(-65) - y/(-52). What is the second derivative of 16*f**i - 384*f + 6*f**2 + 415*f wrt f? 44 Let s(x) be the second derivative of -1367*x**4/6 + 157*x**3 - 196*x. What is the second derivative of s(a) wrt a? -5468 Let o(u) be the first derivative of 67*u**6/10 + 2*u**4 + u**3/3 - 61*u - 9. Let l(x) be the first derivative of o(x). Find the third derivative of l(n) wrt n. 4824*n What is the third derivative of 38 - 13 + 53 + 2997*o**3 - 2679*o**2 + 2681*o**2 + 7 - 2*o wrt o? 17982 Let b(m) = 16*m**2 + 2*m + 25. Suppose 4*o = -87 + 111. Let y(s) = -127*s**2 - 17*s - 200. Let j(n) = o*y(n) + 51*b(n). Differentiate j(z) wrt z. 108*z Let w(s) = 446*s**2 + 114*s + 16. Let r(v) = v**2 + 4*v + 1. Let a(l) = 80*r(l) - 5*w(l). Find the second derivative of a(t) wrt t. -4300 Let l(p) be the third derivative of 345*p**4/8 - 125*p**3/3 - 233*p**2 + 4. Find the first derivative of l(w) wrt w. 1035 What is the third derivative of -1366*u**2 + 6581*u**2 - 39 + 65 - 6536*u**4 - 26 wrt u? -156864*u Let k(z) be the first derivative of 6917*z**5/5 + 59*z**3/3 - 79*z**2/2 + 11086. What is the third derivative of k(a) wrt a? 166008*a Let w(c) be the first derivative of 0*c**5 + 1/2*c**2 + 287 + 32/3*c**3 - 51*c**6 + 0*c**4 + 0*c. Find the third derivative of w(u) wrt u. -18360*u**2 Let r(g) be the third derivative of -5*g**9/504 + 65*g**8/336 + g**5/30 + 592*g**3/3 - 697*g**2. What is the third derivative of r(u) wrt u? -600*u**3 + 3900*u**2 Let s(i) = -268*i**3 - i**2 + 1363*i - 22. Let c(b) = -7*b**3 + 2. Let w(f) = 22*c(f) + 2*s(f). Find the second derivative of w(o) wrt o. -4140*o - 4 Let q = -133 + 106. Let w = 53 + q. What is the second derivative of 14*x**5 - w*x + 36*x + 33*x wrt x? 280*x**3 Suppose 2*c - 8 = -4*d, -240*d = -6*c - 244*d + 8. Let h(g) be the second derivative of 5*g + 23/6*g**3 + 41/2*g**2 + c. What is the derivative of h(w) wrt w? 23 Find the second derivative of -3117*u - 18*u**2 - 1544*u - 959*u**3 + 42*u**2 - 26*u**2 wrt u. -5754*u - 4 Let x(g) be the third derivative of 1/8*g**4 + 1/60*g**6 + 0*g + 29/30*g**5 - 1/2*g**3 + 0 + 18*g**2. What is the second derivative of x(k) wrt k? 12*k + 116 Let g(f) be the first derivative of 527*f**3/3 - 1055*f - 2295. Find the first derivative of g(n) wrt n. 1054*n Let k(x) = 39 - 37 - 9*x + 39 + 57*x. Let n(c) = -50*c - 42. Let q(d) = 5*k(d) + 6*n(d). What is the derivative of q(p) wrt p? -60 Let b = -424 - -432. Let h(x) = 259*x**3 + 5*x**2 - 399. Let c(y) = -389*y**3 - 8*y**2 + 599. Let g(k) = b*h(k) + 5*c(k). What is the derivative of g(u) wrt u? 381*u**2 Let u(b) be the second derivative of 193*b**6/5 - 349*b**4/6 - 554*b. Find the third derivative of u(t) wrt t. 27792*t What is the first derivative of -28 + 6 - 407 - 444*b - 33 - 549 - 2*b**2 wrt b? -4*b - 444 Suppose -4*i - 30 = -10*i. What is the second derivative of 4*u - 14*u - i - 76*u**4 + u wrt u? -912*u**2 Suppose 0 = -n + 5*r + 36 - 29, 61 = 3*n + 5*r. What is the derivative of -77 - 40 + n*b**2 + 1 wrt b? 34*b Suppose 0 = 5*u - 26*u + 63. What is the third derivative of -14*h**u + 14*h**3 + 5*h**3 + 11*h**3 - 4*h**2 + h wrt h? 96 Suppose 4*c - 2 = 3*c. What is the first derivative of 0*u**2 - 28*u + 6*u**c - 24 - 7*u**2 + 20*u wrt u? -2*u - 8 Let z = 117 - 111. Suppose -74*s + 79*s = 20. What is the third derivative of -27*y**z + y**2 - y**2 - s*y**2 wrt y? -3240*y**3 Find the second derivative of -3404*d**4 - 19 - 19 + 579*d - 186*d - 237*d - 236*d wrt d. -40848*d**2 Let f(l) be the first derivative of -11*l**4/4 - 29*l**3/6 - 37*l**2/2 + 21. Let t(b) be the second derivative of f(b). Differentiate t(r) with respect to r. -66 Suppose -19*s + 8 = -68. What is the second derivative of -4*m**2 + 252*m**4 - 2*m**5 - 98*m - 35*m**2 - 252*m**s wrt m? -40*m**3 - 78 Let y(n) be the first derivative of -2833*n**4 - 527*n**3/3 + 4*n**2 - 7541. Find the third derivative of y(p) wrt p. -67992 Suppose 117*d + 68 = 134*d. Let c(f) be the second derivative of 5/2*f**2 + 0 + 0*f**3 + 14*f - 3/4*f**5 + 0*f**d. Differentiate c(k) wrt k. -45*k**2 Suppose 14 = m + 5*n + 16, -4*n = 2*m - 2. Let g(j) be the third derivative of 0*j - 15*j**2 + 0 + 5/24*j**4 - 2/3*j**m. What is the derivative of g(a) wrt a? 5 Let x(a) be the first derivative of -151*a**4 + a**3/3 + 1883*a**2/2 - 13539. Find the second derivative of x(y) wrt y. -3624*y + 2 Differentiate -29 + 25 - 96*m + 6*m**2 - 44 + 46*m - 78*m with respect to m. 12*m - 128 Let z(t) be the third derivative of 28 + 0*t + 0*t**4 + 1/2*t**6 - 73/3*t**3 + t**2 + 0*t**5. Find the first derivative of z(y) wrt y. 180*y**2 Let r(x) be the first derivative of -136 - 87/4*x**4 + 0*x**2 + 0*x**3 + 122*x. Differentiate r(o) wrt o. -261*o**2 Let i(m) be the first derivative of 2*m**2 + 3*m + 87 - 26/3*m**3. Find the second derivative of i(f) wrt f. -52 Let k(l) = 428*l**3 - 2*l**2 + 15*l - 20. Let t be k(2). What is the first derivative of t*h**2 - 50 + 232*h**3 - 3426*h**2 wrt h? 696*h**2 Suppose -3*m - 6 = 6, 3*w - 5*m - 152 = 0. What is the first derivative of 9*h**2 + 2*h**4 + 3*h**4 - 7*h**4 + w wrt h? -8*h**3 + 18*h Let g(t) = -423*t**3 - 2*t**2 - 594*t - 6. Let h(c) = 1270*c**3 + 6*c**2 + 1784*c + 20. Let z(q) = 10*g(q) + 3*h(q). Find the second derivative of z(w) wrt w. -2520*w - 4 Let a(t) = -8453*t**2 + 9609*t. Let n(l) = -8451*l**2 + 9605*l. Let u(j) = -2*a(j) + 3*n(j). What is the second derivative of u(r) wrt r? -16894 Let u(y) be the third derivative of 61/15*y**5 - 89/24*y**4 + 0 - 196*y**2 + 0*y**3 + 0*y. Find the second derivative of u(h) wrt h. 488 Suppose 7 = -w - 2*q, 2*q + 3 + 0 = -5*w. Find the third derivative of -1 + 0*j**2 + 13*j**5 + 7*j**5 - 5*j**2 - 1 + w wrt j. 1200*j**2 Let q(m) = 27374*m**2 + 100*m + 2478. Let s(w) = 5475*w**2 + 19*w + 496. Let i(r) = -3*q(r) + 16*s(r). Find the second derivative of i(z) wrt z. 10956 What is the third derivative of -16605*v + 16605*v + 1039*v**6 + v**4 + 238*v**2 - 1075*v**2 wrt v? 124680*v**3 + 24*v Find the second derivative of -6142*a - 8511*a**4 + 1185*a + 313*a wrt a. -102132*a**2 Let t(a) be the third derivative of -337*a**9/126 + a**8/168 - 91*a**5/20 - 5*a**4/24 - 2392*a**2 - 2. Find the third derivative of t(f) wrt f. -161760*f**3 + 120*f**2 Let d(v) be the third derivative of -59*v**8/168 + v**7/35 - 11*v**5/30 - v**3/3 - 3925*v**2. What is the third derivative of d(y) wrt y? -7080*y**2 + 144*y Suppose -4*o - 42 = -7*o. Let f = o + -12. What is the second derivative of -11*t**f - 79 + 79 + 9*t wrt t? -22 Let k(n) = 127*n**3 - 119*n**2 + 5. Let j = 59 + -64. Let y(o) = -64*o**3 + 59*o**2 - 3. Let z(d) = j*y(d) - 3*k(d). What is the third derivative of z(h) wrt h? -366 Let c(m) be the second derivative of 4*m**6/15 + 281*m**5/20 + 5587*m**2/2 - 5320*m. Differentiate c(u) wrt u. 32*u**3 + 843*u**2 Let n = -248 - -250. What is the second derivative of -408*k**2 + 206*k**n - 7*k**3 + 202*k**2 + 5*k wrt k? -42*k Let i = -121 + 145. Suppose -i = -5*w - 4. What is the second derivative of -7 + 40*f**3 - w - 17*f + 11 wrt f? 240*f Let c(l) = 27729*l**3 - 336*l**2 - 11238. Let b(u) = 6932*u**3 - 80*u**2 - 2810. Let t(m) = 21*b(m) - 5*c(m). Differentiate t(g) with respect to g. 20781*g**2 What is the second derivative of 284*u -
{ "pile_set_name": "DM Mathematics" }
15 -2 What is -131 (base 5) in base 14? -2d 202 (base 4) to base 15 24 What is -9 (base 16) in base 6? -13 Convert -3 (base 5) to base 16. -3 Convert 0 (base 9) to base 13. 0 Convert 21 (base 5) to base 9. 12 Convert 2330 (base 4) to base 7. 356 -120 (base 7) to base 3 -2100 Convert -2 (base 10) to base 15. -2 -1 (base 3) to base 5 -1 What is 1 (base 12) in base 3? 1 1002 (base 5) to base 6 331 Convert 7 (base 13) to base 8. 7 266 (base 11) to base 15 15e c (base 13) to base 10 12 What is -20 (base 15) in base 3? -1010 55 (base 11) to base 16 3c 296 (base 10) to base 13 19a What is -1 (base 12) in base 2? -1 Convert 5 (base 10) to base 5. 10 -1 (base 12) to base 6 -1 What is -36 (base 9) in base 7? -45 1 (base 6) to base 16 1 45 (base 7) to base 11 30 b (base 15) to base 11 10 Convert 34 (base 6) to base 11. 20 Convert -3 (base 13) to base 9. -3 2 (base 4) to base 12 2 -1 (base 7) to base 9 -1 Convert 15 (base 10) to base 13. 12 What is -1031 (base 4) in base 3? -2212 Convert 31 (base 7) to base 8. 26 21 (base 4) to base 16 9 What is -4 (base 15) in base 2? -100 -110 (base 3) to base 15 -c -11 (base 13) to base 4 -32 a6 (base 16) to base 10 166 -61 (base 8) to base 5 -144 Convert 3 (base 10) to base 15. 3 What is 4 (base 11) in base 14? 4 -4 (base 13) to base 16 -4 Convert -44 (base 13) to base 11. -51 -44 (base 7) to base 14 -24 Convert 79 (base 12) to base 9. 113 What is 12 (base 7) in base 2? 1001 3 (base 16) to base 2 11 Convert -13 (base 15) to base 8. -22 Convert 1022 (base 3) to base 12. 2b Convert -32 (base 7) to base 15. -18 Convert 53 (base 9) to base 10. 48 36 (base 16) to base 7 105 What is 64 (base 9) in base 13? 46 Convert 0 (base 4) to base 16. 0 What is -8 (base 13) in base 3? -22 What is -114 (base 6) in base 3? -1201 Convert -6 (base 13) to base 15. -6 What is -322 (base 4) in base 15? -3d What is -40 (base 9) in base 11? -33 4 (base 9) to base 4 10 -5 (base 13) to base 4 -11 What is 20 (base 11) in base 2? 10110 What is 14e (base 15) in base 6? 1215 Convert -1 (base 12) to base 6. -1 Convert 34 (base 7) to base 13. 1c What is 4 (base 12) in base 2? 100 Convert 0 (base 7) to base 4. 0 Convert -162 (base 7) to base 16. -5d What is 1 (base 16) in base 4? 1 Convert -10 (base 12) to base 15. -c -79 (base 13) to base 4 -1210 What is -1a (base 11) in base 12? -19 156 (base 7) to base 6 230 Convert 3 (base 12) to base 7. 3 What is 423 (base 6) in base 12? 113 148 (base 9) to base 7 236 411 (base 5) to base 7 211 -1111 (base 3) to base 15 -2a Convert 1 (base 13) to base 4. 1 Convert -1201 (base 3) to base 5. -141 Convert 1 (base 5) to base 4. 1 Convert -1202 (base 3) to base 13. -38 Convert 3010 (base 4) to base 11. 169 -272 (base 9) to base 14 -123 5 (base 11) to base 2 101 What is -1102 (base 3) in base 10? -38 Convert 4c (base 13) to base 2. 1000000 -1001111 (base 2) to base 9 -87 What is -25 (base 12) in base 5? -104 Convert -100 (base 3) to base 12. -9 What is 1000 (base 2) in base 10? 8 Convert 2 (base 11) to base 14. 2 Convert 3 (base 7) to base 9. 3 5 (base 9) to base 11 5 Convert 0 (base 15) to base 12. 0 Convert -1 (base 10) to base 4. -1 What is -102 (base 5) in base 3? -1000 Convert 1 (base 10) to base 9. 1 What is 52 (base 12) in base 15? 42 -10 (base 15) to base 7 -21 Convert -1 (base 12) to base 4. -1 Convert 5 (base 14) to base 5. 10 20 (base 6) to base 12 10 -52 (base 11) to base 2 -111001 What is -23 (base 7) in base 13? -14 -15 (base 9) to base 6 -22 Convert 10 (base 3) to base 2. 11 Convert 1 (base 11) to base 8. 1 What is -23 (base 4) in base 14? -b What is -40 (base 7) in base 5? -103 -110 (base 5) to base 12 -26 What is -22 (base 14) in base 2? -11110 100 (base 8) to base 12 54 21 (base 4) to base 10 9 -2 (base 7) to base 2 -10 What is -14 (base 7) in base 10? -11 What is -7 (base 10) in base 3? -21 What is -3 (base 5) in base 10? -3 Convert -10 (base 9) to base 8. -11 Convert 2 (base 6) to base 3. 2 What is -b (base 12) in base 9? -12 Convert 3 (base 5) to base 8. 3 Convert -25 (base 6) to base 10. -17 Convert 10 (base 10) to base 14. a -12 (base 9) to base 15 -b Convert 67 (base 16) to base 10. 103 Convert 3 (base 10) to base 15. 3 What is -38 (base 11) in base 4? -221 Convert 7 (base 14) to base 4. 13 -8 (base 16) to base 14 -8 Convert 3120 (base 4) to base 12. 160 1211 (base 5) to base 10 181 What is -7 (base 8) in base 12? -7 What is 21 (base 6) in base 15? d Convert -115 (base 6) to base 8. -57 Convert -11 (base 7) to base 6. -12 What is 5 (base 9) in base 8? 5 Convert 3 (base 15) to base 5. 3 Convert -14 (base 6) to base 12. -a Convert 11 (base 12) to base 5. 23 What is 6 (base 15) in base 5? 11 a7 (base 12) to base 13 9a Convert 10 (base 2) to base 11. 2 What is 47 (base 15) in base 10? 67 Convert 10 (base 14) to base 11. 13 What is -3 (base 12) in base 15? -3 1 (base 6) to base 4 1 What is 41 (base 12) in base 10? 49 Convert -2121 (base 3) to base 7. -130 Convert 204 (base 7) to base 15. 6c What is 10 (base 4) in base 13? 4 1 (base 13) to base 11 1 Convert -201 (base 7) to base 9. -120 What is -31 (base 5) in base 14? -12 What is 0 (base 16) in base 13? 0 What is 13 (base 6) in base 15? 9 What is -7 (base 15) in base 10? -7 Convert -42 (base 10) to base 14. -30 What is 20 (base 3) in base 16? 6 What is -11 (base 11) in base 15? -c -10101 (base 3) to base 14 -67 -26 (base 9) to base 3 -220 What is -73 (base 9) in base 6? -150 What is 12 (base 3) in base 10? 5 Convert -1d (base 16) to base 8. -35 What is -1 (base 15) in base 6? -1 13 (base 9) to base 3 110 -5 (base 7) to base 9 -5 What is -9 (base 16) in base 11? -9 What is 212 (base 7) in base 8? 153 What is 110000 (base 2) in base 15? 33 What is -6 (base 8) in base 3? -20 What is -340 (base 5) in base 10? -95 Convert 114 (base 11) to base 8. 210 Convert 1 (base 3) to base 10. 1 What is 3a (base 12) in base 13? 37 Convert -62 (base 12) to base 3. -2202 Convert 4 (base 8) to base 13. 4 Convert 320 (base 4) to base 6. 132 What is -40 (base 7) in base 10? -28 What is 3 (base 4) in base 12? 3 Convert 0 (base 3) to base 12. 0 What is -40 (base 11) in base 13? -35 -32 (base 9) to base 4 -131 -1 (base 8) to base 9 -1 -1 (base 9) to base 13 -1 What is -3 (base 13) in base 2? -11 Convert -21 (base 4) to base 15. -9 What is -a0 (base 12) in base 2? -1111000 Convert -231 (base 5) to base 7. -123 What is -3 (base 15) in base 16? -3 104 (base 6) to base 14 2c -5 (base 8) to base 10 -5 What is -6 (base 14) in base 6? -10 What is -11 (base 3) in base 5? -4 Convert -12 (base 4) to base 16. -6 1010 (base 2) to base 14 a What is -1011 (base 2) in base 14? -b -a (base 15) to base 4 -22 10a (base 12) to base 16 9a What is 13 (base 7) in base 14? a What is 20 (base 14) in base 6? 44 Convert -135 (base 13) to base 4. -3111 What is -20 (base 16) in base 15? -22 Convert -10200 (base 3) to base 16. -63 -21 (base 9) to base 3 -201 What is 34 (base 11) in base 6? 101 What is -7 (base 9) in base 13? -7 0 (base 4) to base 5 0 -17 (base 13) to base 4 -110 -62 (base 11) to base 13 -53 Convert -2 (base 6) to base 15. -2 What is -11d (base 14) in base 13? -142 100 (base 2) to base 5 4 41 (base 16) to base 2 1000001 Convert -7 (base 11) to base 9. -7 What is 63 (base 7) in base 5? 140 What is 2 (base 4) in base 9? 2 -7 (base 14) to base 7 -10 What is -4a (base 12) in base 2? -111010 Convert 1 (base 4) to base 5. 1 7 (base 14) to base 6 11 What is -3 (base 11) in base 3? -10 Convert 1 (base 2) to base 9. 1 What is 45 (base 6) in base 4? 131 Convert 2 (base 13) to base 2. 10 What is -2 (base 5) in base 10? -2 21 (base 11) to base 6 35 Convert -16 (base 15) to base 11. -1a Convert -9 (base 10) to base 4. -21 -4 (base 9) to base 11 -4 What is 44 (base 12) in base 6? 124 -13 (base 11) to base 10 -14 -27 (base 11) to base 12 -25 What is 41 (base 9) in base 13? 2b Convert 310 (base 5) to base 10. 80 What is 6 (base 9) in base 3? 20 -25 (base 12) to base 2 -11101 Convert -13 (base 16) to base 3. -201 What is -1321 (base 4) in base 8? -171 -7 (base 11) to base 15 -7 3 (base 6) to base 3 10 3 (base 4) to base 11 3 Convert 2 (base 6) to base 3. 2 What is 1 (base 16) in base 14? 1 Convert 226 (base 8) to base 4. 2112 -16 (base 11) to base 3 -122 c (base 13) to base 2 1100 Convert 0 (base 8) t
{ "pile_set_name": "DM Mathematics" }
by o? 11 Suppose -3*k + 75 = 2*k. Suppose -40 = -2*o - 2*z, -o + k = o - 3*z. What is the remainder when o is divided by (-40)/(-6)*12/10? 7 Let x = -8 - -5. Let k = 2 + x. What is the remainder when (k - (-6)/3) + 43 is divided by 15? 14 Let j(r) = r**2 + 9*r + 18. Calculate the remainder when j(-16) is divided by 11. 9 Suppose -5*p + 57 = -2*p. Let s = p + 5. What is the remainder when s is divided by 9? 6 Let q(j) = -j**2 + 16*j - 7. Suppose 4*m + 0*m - 56 = 0. What is the remainder when q(m) is divided by 6? 3 Let x be 27/6 + 2/4. Let f(y) = y**2 - 3*y. What is the remainder when 1000/55 + 2/(-11) is divided by f(x)? 8 Calculate the remainder when -3*-1*2/4*4 is divided by 4. 2 Suppose -2*j + 4*q = j - 14, 3*q - 9 = -j. Let g = -5 + j. Suppose 2*a - 3 = r, 3*r - 2*a - g = -a. What is the remainder when 3 is divided by r? 0 Let n be (4 - (3 - -4))*2. Let m(i) = -i + 7. Suppose -8 = -2*l - 0*v + 4*v, -4*l + v + 30 = 0. What is the remainder when m(n) is divided by l? 5 Let y(o) = o + 4. Let d be y(0). Let j = 7 - d. Calculate the remainder when 14/4 - 3/(-6) is divided by j. 1 Let v(p) = -p**2 - 8*p - 9. Let r be v(-6). What is the remainder when 38 is divided by (-13)/r*(0 - 3)? 12 Let x be (2/3)/(4/(-18)). Let y = x + 4. What is the remainder when 1 is divided by y? 0 Let n = 35 + -30. Suppose 2*r + 3 = -3*i + 5, 4*r + i = 14. Suppose 5*u + 46 = r*k + 2*u, -n*k = -5*u - 60. Calculate the remainder when 18 is divided by k. 8 Let i = 2 + 7. Calculate the remainder when i is divided by 0 - (-1 + 6/(-3)). 0 Let h = -1 - -3. Suppose -11 = -h*y + 29. Calculate the remainder when 58 is divided by y. 18 Calculate the remainder when (66/(-4))/((-5)/10) is divided by 18. 15 What is the remainder when (-153)/(-15) - (-20)/25 is divided by 7? 4 Let x(v) = v**2 + 10*v + 10. Let t be x(-9). Suppose o - 7 - t = 0. Let i = -13 + 27. What is the remainder when i is divided by o? 6 Let w(q) = -q**2 - 7*q - 3. Let r(h) = h**3 - h - 6. Let j be r(0). Calculate the remainder when ((-8)/10)/(1/(-10)) is divided by w(j). 2 Suppose 12*x + 24 - 84 = 0. Calculate the remainder when x is divided by 3. 2 Suppose 0 = -s - 3*k + 16, 5 = -2*s + 4*k + 27. Calculate the remainder when 51 is divided by s. 12 Let l(n) be the third derivative of -n**4/6 - n**3/2 + 4*n**2. Let i = 2 + -4. Calculate the remainder when 14 is divided by l(i). 4 Suppose -5*m + 99 = -3*m - 5*j, -4*m + 184 = 4*j. Suppose -3*d = -k - 77, -4*d + 2*k = -9*d + 121. What is the remainder when m is divided by d? 22 What is the remainder when 94 - (-5 + 3 + 4) is divided by 24? 20 Suppose 0 = 3*l - l + 5*m - 18, 3*m = 3*l - 48. Calculate the remainder when 53 is divided by l. 11 Suppose -35 = 3*y - 8*y. Let i(u) = -6*u**2 + 1. Let r be i(-1). Let b(l) = -l**2 - 8*l - 3. Calculate the remainder when b(r) is divided by y. 5 Calculate the remainder when 29 is divided by (-11)/(-1) + -4 + 1. 5 Let b = 11 + -7. Suppose b*g - 3*g - 4 = 0. What is the remainder when 11 is divided by g? 3 Suppose 15 = 5*b, 2*j = 4*b - 51 + 137. Calculate the remainder when j is divided by 29. 20 Let b(z) = z + 10. Let i = 0 - 0. Suppose 5*d - 16 = 4*o, 3*o + 0 = d - 1. Calculate the remainder when b(i) is divided by d. 2 Suppose 5 = b, -3*b = 2*l - 4*b - 3. Suppose 3*g + 0*g - 77 = l*h, 0 = -3*g + h + 62. What is the remainder when 73 is divided by g? 16 Let x(s) = s**3 + 8*s**2 - 4. Let y be x(-8). What is the remainder when (6/y)/(9/(-204)) is divided by 18? 16 Suppose -p + 120 = 7*p. Calculate the remainder when 28 is divided by p. 13 What is the remainder when 33 is divided by 18/3*3/2? 6 Let v = 18 + 11. Suppose -4*x + 1 = 5, 3*x - 37 = -5*w. What is the remainder when v is divided by w? 5 Suppose -q = -4*q + 15. Suppose -5*b = 2*n - 52, -q = -b - 0*b + 5*n. What is the remainder when (-1)/2 - 590/(-20) is divided by b? 9 Let b = 31 + -1. Calculate the remainder when b is divided by 7. 2 Let b(v) = v**3 - 8*v**2 + v + 2. Let z(t) = t - 5 - 15*t + 2*t - 1 - t**2. What is the remainder when z(-7) is divided by b(8)? 9 Let w = 166 + -150. Calculate the remainder when 110 is divided by w. 14 Let k = -67 + 109. What is the remainder when k is divided by 22? 20 Let b = 179 - 116. Calculate the remainder when b is divided by 2*2*-1*-4. 15 Suppose -2*w - 5*u + 53 = 0, 2*w + 0*w - 43 = -3*u. Calculate the remainder when 54 is divided by w. 12 Let a = -76 - -79. Calculate the remainder when a is divided by ((-6)/4)/((-6)/8). 1 Suppose -g + 47 = 12. Calculate the remainder when g is divided by 9. 8 Suppose -9*i + 126 = -6*i. What is the remainder when i is divided by 22? 20 What is the remainder when 142 is divided by (-6)/((-1)/18*3)? 34 Let u(m) = -m + 5. Let d = 5 - 9. Suppose 275 = -j + 12*j. Calculate the remainder when j is divided by u(d). 7 Calculate the remainder when 36 is divided by 1 - 2 - 80/(-4). 17 Suppose -a - 16 = -4*j, -5*j + 2*a = 3*a - 11. Let b = j + 6. What is the remainder when 17 is divided by b? 8 Suppose 4*d - 30 = 5*o, o + 2 = d - 5. Calculate the remainder when 9 is divided by d. 4 Let w(l) = -8*l - 1. Calculate the remainder when 33 is divided by w(-1). 5 Let v = 226 - 161. Calculate the remainder when v is divided by 17. 14 Let a be 4/6 - (-1)/3. Let w = 3 - a. What is the remainder when w is divided by 1? 0 Suppose -3*f + 1 + 11 = 0. Suppose 4*a + 4*k = 64, -7*k = f*a - 2*k - 62. Calculate the remainder when a is divided by 10. 8 Suppose -3*u = -2*u - 35. Let s(z) = 2*z - 5. Calculate the remainder when u is divided by s(7). 8 Let y(c) = 36*c. Suppose -2*b = -12 + 8. What is the remainder when y(b) is divided by 25? 22 Suppose 0*g + 142 = -2*f + 4*g, 0 = -3*f - 2*g - 197. Let c = 111 + f. Suppose z + c = 5*z. Calculate the remainder when 32 is divided by z. 10 Let w = 163 + -92. What is the remainder when w is divided by 11? 5 Let w = -8 - 1. What is the remainder when 22 is divided by (18/7)/(w/(-42))? 10 Let v(k) = k**2 + k - 2. Let t be v(-6). Suppose -t = -0*z - z. Let d = -8 - -18. What is the remainder when z is divided by d? 8 Suppose 5*f + 4*k - 746 = 0, -5*f + 0*f - 3*k = -742. What is the remainder when f is divided by 30? 26 Suppose -2*z = -h - 48, -3*z + 134 = 2*z + h. Let k = z - 3. Calculate the remainder when k is divided by 6. 5 Let v(f) = f**3 + 9*f**2 - 2*f + 6. Calculate the remainder when v(-7) is divided by 30. 28 Suppose 3*n + 138 = 5*n - 4*w, 2*w + 4 = 0. Calculate the remainder when n is divided by 34. 31 Suppose w + 13 = 3*z, 3*w + 4*z - 13 = -0*z. Let q = w - -8. Calculate the remainder when 19 is divided by q. 5 Suppose 0 = -3*i + 2*o + 20, -2*i - 3*i + o + 38 = 0. Suppose -q + i = q. What is the remainder when 11 is divided by q? 3 Suppose 24 = z - 4*l - 26, 5*l = -20. What is the remainder when z is divided by 5? 4 Let x(l) = l**2 - 2*l - 3. Let m be x(3). Suppose 3*j = j - 4. Calculate the remainder when m - -35 - j/(-2) is divided by 12. 10 Let h = 20 + 6. Let x = 27 - 9. Let t = 32 - x. Calculate the remainder when h is divided by t. 12 Let d(p) = 7*p + 2. Calculate the remainder when d(3) is divided by 13. 10 Suppose 4*l = -5*s + 53, -s + 3 = -l - 2*l. Let g(z) = -z - 6. Let x be g(-8). Suppose 7*m = x*m + 25. What is the remainder when s is divided by m? 4 Let a(z) = -z + 27. Let d(x) = -x**2 + 7*x + 8. Let f be d(7). Let s = -8 + f. Calculate the remainder when a(s) is divided by 14. 13 Let s(r) be the second derivative of -r**4/12 + 5*r**3/3 - 6*r**2 + r. Let n = -5 - -11. What is the remainder when n is divided by s(8)? 2 Let a(c) be the first derivative of -2*c**2 - 4*c - 3. Calculate the remainder when 23 is divided by a(-3). 7 Let d(a) = a**3 + 7*a**2 + 2*a + 1. Let z be d(-3). Suppose 4*t + p - 4*p = z, -p = 1. What is the remainder when t is divided by 4? 3 Let b = -109 - -181. Let q = -27 + b. What is the remainder when q is divided by 12? 9 Let q = -3 - -9. Suppose 5*a - 170 = -z + q*z, -4*a = 2*z - 130. Suppose 16 = -4*y + 64. Calculate the remainder when a is divided by y. 9 Suppose -35 + 203 = 14*a. Calculate the remainder when a is divided by 6. 0 Let c(v) = 2*v**2 - 10*v + 19. Calculate the remainder when c(8) is divided by 17. 16 Suppose 204 = 19*g - 81. What is the remainder when g is divided by 11? 4 Suppose 838 = 15*h + 313. What is the remainder w
{ "pile_set_name": "DM Mathematics" }
224*sqrt(19) Simplify (((1 + sqrt(175) - sqrt(7)) + 0)*5)**2 - (3*sqrt(2268)*1)**2. -17587 + 200*sqrt(7) Simplify (-1 + -5*(-5 + (sqrt(2) - sqrt(450)) + 2) + -5 + 4 + -2)**2. 1540*sqrt(2) + 9921 Simplify (sqrt(2673)*1 - (sqrt(4752) - -2*sqrt(4752)))/((sqrt(99) - (sqrt(99) - sqrt(99)*-2)) + sqrt(396) + (sqrt(396) - -1*sqrt(396))). -9*sqrt(3)/4 Simplify (((-2 + sqrt(19) - sqrt(19))**2*2 - (sqrt(19) + -3*sqrt(2736))) + -5*(-2 + sqrt(171))**2*4 + 3)*-1. -275*sqrt(19) + 3489 Simplify (-1*-2*sqrt(5324) + 2*-2*sqrt(5324))**2*-2*-5. 212960 Simplify (2 + sqrt(343) + (1 + 2 + sqrt(343) - sqrt(343)) - ((sqrt(84)/(sqrt(48)/sqrt(4)))**2 + -2)*-2) + -4. 11 + 7*sqrt(7) Simplify -2 + ((0 + sqrt(833)*1 - (sqrt(833) - (4 + sqrt(833) + -2)))**2 - -2*2*sqrt(833)*5). 168*sqrt(17) + 835 Simplify (-5*(0 + sqrt(68) - sqrt(68))**2*-5 - ((sqrt(68)/sqrt(4) + 2)**2 - (-2*sqrt(119))/sqrt(7))*3) + 5. -18*sqrt(17) - 58 Simplify (2*-1*sqrt(156) - (-3*sqrt(156) + sqrt(156))*-5)/(-4*1*sqrt(36)/sqrt(3)*5). 3*sqrt(13)/5 Simplify (sqrt(400)*-4*4*3)/(sqrt(14)/(-1*sqrt(7)) - sqrt(4)/(sqrt(2) - sqrt(288))). 528*sqrt(2) Simplify (((sqrt(605)*1 - sqrt(605)) + -1)*5 + -1)**2 + (4 + (3*sqrt(605) - sqrt(605)) + 0)**2*6. 1056*sqrt(5) + 14652 Simplify ((-3 + (sqrt(320)*2 - sqrt(320)) + -3 - (2 + 1*(sqrt(5) - (sqrt(45) + 0))))*-6)**2. -5760*sqrt(5) + 20304 Simplify (((-6*(sqrt(231) + (sqrt(231)*2 - sqrt(231))))/(-3*sqrt(176)))/(-3*-2*((3*-1*sqrt(3) - sqrt(3) - sqrt(3)) + sqrt(3))))**2. 7/576 Simplify ((sqrt(90)/(sqrt(245) + sqrt(245) + sqrt(245) + (sqrt(245) - sqrt(245)*4) + sqrt(5)))/(-4*sqrt(63)/(sqrt(7) - sqrt(112))))**2. 9/8 Simplify sqrt(35)/(sqrt(847)*-1) - ((1*sqrt(2695))/sqrt(11))**2 - ((sqrt(35) + (sqrt(35) - sqrt(70)/sqrt(2)))*3 - sqrt(35))/(sqrt(35)/(sqrt(40)/sqrt(8))). -245 - 23*sqrt(5)/11 Simplify ((-4 + 5 + -1*sqrt(243) - (0 + -5*sqrt(243)*-1))*-2*-6 + -1)**2. -14256*sqrt(3) + 1259833 Simplify -4 + (-5*-2*sqrt(95))/(1*sqrt(720)) - (sqrt(475) + -1 + (sqrt(304) - -1*sqrt(304))**2 + sqrt(19) - (sqrt(1216) + sqrt(1216) + -1 + 3)). -1217 + 65*sqrt(19)/6 Simplify (6*-2*sqrt(1575) - (sqrt(1575) + sqrt(1575) + (sqrt(1575) + 1*sqrt(1575) - sqrt(1575))*3))/((-3*2*sqrt(72))/(sqrt(32)*-2 - sqrt(32))). -85*sqrt(7) Simplify ((2*sqrt(50))/sqrt(2) - sqrt(25) - (sqrt(300) - sqrt(300)*-2)/sqrt(12))/(sqrt(45)/sqrt(225) - sqrt(10)/(sqrt(2)*-1)). -5*sqrt(5)/3 Simplify -4*((sqrt(7) + -2)**2 + -3)*3 - (-4 + -4*(-1 + sqrt(112))**2). 16*sqrt(7) + 360 Simplify ((sqrt(133) - 1*(sqrt(133) - sqrt(133)*-2) - (1*-1*sqrt(133) + sqrt(133)))*6)/(4*sqrt(175) + (sqrt(21) - -3*sqrt(21))/sqrt(3)). -sqrt(19)/2 Simplify -3 + 3 + (5*((sqrt(1458) + sqrt(1458) + sqrt(1458) + -2*sqrt(1458))*-4)/(sqrt(900) + (sqrt(900) - -5*sqrt(900)*-2) + sqrt(900))*1)**2. 648/49 Simplify (2*(0 + sqrt(171) + (1 + sqrt(171) + -3 - sqrt(171)) + 0 + sqrt(171) + 3)*-2)**2. 192*sqrt(19) + 10960 Simplify (sqrt(896)*2*-2*-2)/((1*sqrt(128) - (6*sqrt(128) - sqrt(8)))*-2)*-6. -96*sqrt(7)/19 Simplify ((sqrt(17) + sqrt(68)/sqrt(4) + 5 + (sqrt(17) + sqrt(51)/sqrt(3))*-1)**2 - (-2*sqrt(85)*-3)/((sqrt(50)/sqrt(5))/sqrt(2))) + -4. -6*sqrt(17) + 21 Simplify 3 + 5 + ((sqrt(684) - (sqrt(684) + -5 + sqrt(684) + sqrt(684) + 0 + sqrt(684) - sqrt(684))) + -5 + 0 + sqrt(684) - (-5 + 0 + sqrt(684)*2))**2. -180*sqrt(19) + 6189 Simplify ((sqrt(156) + -3*sqrt(156) - sqrt(156))*4 + 3*sqrt(156)*2 + sqrt(156))/((((-1*sqrt(120) - sqrt(120)) + sqrt(120))/sqrt(5))/(-1*sqrt(162) - sqrt(2))). -50*sqrt(13) Simplify (6*(sqrt(1331) - (-2*sqrt(1331) + 3))*-2)**2 - ((sqrt(396)*-1*-2)**2 - (sqrt(396) + 4*(sqrt(396) - (0 + sqrt(396)))**2)). -28506*sqrt(11) + 1724688 Simplify -5*(-3 + 4*((sqrt(3) - (-2*sqrt(192) + sqrt(192) + sqrt(192))**2) + (sqrt(363)*1 + sqrt(363))**2 + sqrt(3)))*-4*4 + 1. 640*sqrt(3) + 464401 Simplify 4 + (5*sqrt(200) - sqrt(4)/(sqrt(14)/sqrt(7)) - (-5 + sqrt(648) + 0)**2). -669 + 229*sqrt(2) Simplify ((sqrt(77)*-3*-1)/(sqrt(22)/(sqrt(2)*-1)) + sqrt(84)/(sqrt(12) - (-1*sqrt(144) - sqrt(144))/sqrt(12)) + 1*-1*1*sqrt(7))**2. 847/9 Simplify (1 + 6*((-2*3*sqrt(300))**2 + sqrt(300)))*-6*6. -2332836 - 2160*sqrt(3) Simplify ((2*sqrt(468)*-6 + sqrt(468))*1 + sqrt(91)/sqrt(7) + 0 + sqrt(624)/sqrt(3))**2. 48373 Simplify (sqrt(539)*-4 + -4 + 2*(3 + sqrt(539)) - 1*(2 + 0 + 0 + sqrt(539)))**2. 4851 Simplify (((3 + 0 + sqrt(200) + -4*1*sqrt(200))*4 + (3*(sqrt(200) + sqrt(200) + 0) - 1*(1 + sqrt(200))))*5)**2. -38500*sqrt(2) + 248025 Simplify ((1*(sqrt(612) + sqrt(612) + sqrt(612)*2) - sqrt(612) - (sqrt(612) + 1 + -4))*-3 + (3 + 3*(sqrt(612) + 1)*-2)*-6)**2. 3240*sqrt(17) + 550881 Simplify ((sqrt(90)*1*4)/(sqrt(54)/sqrt(2)))/((-3*(sqrt(18) - (sqrt(72) + sqrt(18) + sqrt(18)) - sqrt(18)))/(sqrt(3) + sqrt(3) + sqrt(3)*2*2)). 2*sqrt(5)/3 Simplify (5*(1 + sqrt(2448)))**2 - ((-1*sqrt(2448) - sqrt(2448)) + -3) - (-3*-1*sqrt(2448) + (sqrt(2448)*1*4 - sqrt(2448))). 552*sqrt(17) + 61228 Simplify (-6*-2*sqrt(170)*1*-3)/((sqrt(80) - 2*sqrt(80))/sqrt(8) - (1*sqrt(10) + sqrt(10))*-5). -4*sqrt(17) Simplify 4*((-2 + sqrt(1300) + sqrt(1300) + -3*sqrt(1300) + -3 + sqrt(1300) + 3*sqrt(1300)*-3)**2 + -4). 3600*sqrt(13) + 421284 Simplify (((sqrt(297) + 1*sqrt(297)*-6)/sqrt(11))/(sqrt(144)*5 + ((sqrt(9) + sqrt(81))*6 - sqrt(9))))**2 + -4. -7321/1849 Simplify ((1*sqrt(416)*1*2)/((sqrt(64)/(sqrt(8)*-2))/(sqrt(128)/sqrt(2) + sqrt(4))))**2. 83200 Simplify ((((sqrt(252) + sqrt(252)*1)*-4 + (sqrt(252) - sqrt(252)*1) + 2 - 5*(-5 + -1*sqrt(567))) + 0)*2)**2. -648*sqrt(7) + 3168 Simplify ((sqrt(300)*-3 - sqrt(300)) + -5 - (-3*sqrt(300) + -2))**2 - (-5 + (2*(sqrt(300)*2 + 4))**2). -4550 - 580*sqrt(3) Simplify 3*(0 + (0 + sqrt(3) + 2 - (1*sqrt(3))**2*-4)) - ((sqrt(15)/sqrt(80) - (-1 + sqrt(48)))**2 + ((5*sqrt(108)*-2)**2 - sqrt(108))). -172819/16 + 33*sqrt(3)/2 Simplify ((-1 + 2 + sqrt(720))**2 + ((-1 + sqrt(720))*1 - sqrt(720))**2)*-1 + (-5 + sqrt(720) + (((5*sqrt(720) - sqrt(720)) + sqrt(720))**2 + 5 - sqrt(720)))*2. -24*sqrt(5) + 35278 Simplify -5*(-1 + (sqrt(1584) - (2 + sqrt(1584)*2) - 2*(-2 + sqrt(1584))))*-1. -180*sqrt(11) + 5 Simplify (-4*-4*((sqrt(12)/(sqrt(6)*-2) - sqrt(2)) + 3 - sqrt(24)/(-4*sqrt(60)/sqrt(5))))**2. -1920*sqrt(2) + 3104 Simplify (-2 + (sqrt(8) + (sqrt(8) - (sqrt(8) + -2 + -2)**2 - sqrt(8) - sqrt(8)))*-2*1*-2)*-1. -64*sqrt(2) + 98 Simplify 6*sqrt(21)/(sqrt(7) + sqrt(112))*2 + 5 + -2*(sqrt(192) + 1 + sqrt(192) + -3)**2*1. -1539 + 652*sqrt(3)/5 Simplify (6*((2*sqrt(228) - sqrt(228)) + sqrt(57)))/((sqrt(2100) + sqrt(2100) + -2*sqrt(2100) + sqrt(2100))/sqrt(7)). 9*sqrt(19)/5 Simplify (0 + sqrt(612)*-1 + -5 - ((sqrt(153)/sqrt(9) - sqrt(17))*1 - (4*sqrt(833) - sqrt(17))))**2. -210*sqrt(17) + 7522 Simplify (-5*sqrt(90)/sqrt(2))/(sqrt(108)/sqrt(3)) + (0 + sqrt(1125) - (-3 + -1*sqrt(45) + sqrt(45) + sqrt(45))). 3 + 19*sqrt(5)/2 Simplify (0 + (sqrt(171)*2*2 - (sqrt(171) - sqrt(171)*-1*-3)))**2 + -4 + ((sqrt(2736)*-2 - sqrt(2736)) + -1)**2*-4. -92348 - 288*sqrt(19) Simplify (((sqrt(119) - (sqrt(119) + 1*(sqrt(119)*-1 - sqrt(119))))/(sqrt(112)*-1 - sqrt(112)))**2 - ((sqrt(136)*3)/sqrt(8) + (-1*sqrt(51))/sqrt(3)))*4. -8*sqrt(17) + 17/4 Simplify ((sqrt(1836) - (-3*sqrt(1836) + sqrt(1836))) + sqrt(1836) - sqrt(459)/(sqrt(9) + sqrt(81)/sqrt(9)))/(4*sqrt(9)/sqrt(3) - sqrt(12)/sqrt(144)). 141*sqrt(17)/23 Simplify (-3*(-5 + -4*sqrt(72)*-1 + 1*(sqrt(72) + 1)*-6))**2. 2376*sqrt(2) + 3681 Simplify -4 + (3*((sqrt(19) - (sqrt(76)/sqrt(4))**2*2) + 4) - ((sqrt(152)*3)/sqrt(8) - (sqrt(19) - (-3*sqrt(171) + sqrt(19))))). -106 + 9*sqrt(19) Simplify (((sqrt(162) + 0)*1 - (-4 + sqrt(162) + 0 - sqrt(162))) + 2)**2 + -3*sqrt(162)*3 + (sqrt(162) - (-3 + sqrt(162))) + 3. 27*sqrt(2) + 204 Simplify -3*(1*3*(2 + (sqrt(192) - 2*sqrt(192)))*-5*5 + -2)**2. -3309312 + 547200*sqrt(3) Simplify ((sqrt(70)/sqrt(2) - sqrt(35))*5 + sqrt(350)/(1*sqrt(10)))/(sqrt(40)/((sqrt(144)/sqrt(6))/sqrt(3))*-1). -sqrt(7) Simplify -1 + (-2 + (sqrt(5324) - sqrt(5324)*4) + 2*(sqrt(5324) + 4*sqrt(5324)))*5. -11 + 770*sqrt(11) Simplify 5*((sqrt(726)*1 + sqrt(726) + (-1*sqrt(600) - sqrt(6)))/(sqrt(300)*5) + -1)**2. -11*sqrt(2)/5 + 1371/250 Simplify 5 + -4 + 1 + sqrt(66)/sqrt(6) - (5 + (-2 + sqrt(176))*5)**2. -4423 + 201*sqrt(11) Simplify (-3 + 3 + ((1*(-3*sqrt(66) + sqrt(66)))/sqrt(3))/(sqrt(10)/(sqrt(30)/sqrt(6)) + sqrt(10)/sqrt(5)*2))**2.
{ "pile_set_name": "DM Mathematics" }
1 - -2*(3*(2 + 0 + sqrt(208)))**2)*6. 2016*sqrt(13) + 19086 Simplify -3*(sqrt(280)/(1*sqrt(63)))/(-4*-5*sqrt(8)*-2) + 3. sqrt(5)/40 + 3 Simplify (3*(sqrt(170) - (sqrt(170) - (sqrt(170)*1*4 - sqrt(170))) - sqrt(170))*4)/((sqrt(10)*2*-4 + sqrt(10) + sqrt(640) + 1*sqrt(640))*-5). -8*sqrt(17)/15 Simplify (-6*(3*(1 + 1 + sqrt(275)) + -4 + 3 + sqrt(275)*-2)*-2)**2. 7200*sqrt(11) + 43200 Simplify sqrt(108)*-2*-2 + 2*sqrt(108) + 3 + (sqrt(36) + sqrt(36) + sqrt(432)/sqrt(108) + sqrt(36))/(sqrt(192)*2). 3 + 437*sqrt(3)/12 Simplify ((sqrt(51) + 3*sqrt(204))/(-6*sqrt(6)/sqrt(2))*-5 - (sqrt(187)/(sqrt(33)/sqrt(12)) - (sqrt(1377)*-1 + -1)))**2. 31*sqrt(17)/3 + 16373/36 Simplify 3*(0 + -1*(3*(sqrt(320) + 1) + (((-3 + sqrt(320))*6 - sqrt(320)) + sqrt(320))**2)). -35541 + 5112*sqrt(5) Simplify sqrt(76) + 3*sqrt(76) + -2 + 4 - ((sqrt(133)*-2*-1)/(sqrt(42)/sqrt(96)))**2. -1214 + 8*sqrt(19) Simplify (sqrt(1920)*-2)/(4*sqrt(216)) - ((5*(sqrt(20) + -1) - sqrt(20) - (sqrt(20) - (sqrt(720) + -1 + sqrt(720)))) + 3). -92*sqrt(5)/3 + 3 Simplify (sqrt(980) + sqrt(980) + 2*sqrt(980) - sqrt(1280)*1)/((sqrt(40) + -4*-5*sqrt(40))/sqrt(10)). 20*sqrt(5)/21 Simplify ((sqrt(231) + (sqrt(231) + (1*sqrt(231) - sqrt(231)) + sqrt(231))*-1)/(sqrt(700) + sqrt(700)*1 + sqrt(700) - sqrt(7)))/((6*-2*sqrt(30))/sqrt(10)*-1). -sqrt(11)/348 Simplify (sqrt(528)/sqrt(3) - (-1 + sqrt(33)/sqrt(3)))*6 - -2*(2*(1 + -2*sqrt(11) - (sqrt(11) - (sqrt(275) + 1))))**2. 82*sqrt(11) + 390 Simplify ((3*((sqrt(1008) + 2 + -4)*1 + 0)*-4 + 0)*4)**2. -110592*sqrt(7) + 2331648 Simplify (-1 + (-1 + 0 + -2*(sqrt(180) - (sqrt(180) - (-2*sqrt(180) - sqrt(180)))*-5))*-1*-6)**2. 21168*sqrt(5) + 11430769 Simplify (sqrt(3)*-1*-5 - sqrt(3)) + sqrt(363) + 2 + -3*sqrt(21)/sqrt(7) + (sqrt(12)*3)**2. 12*sqrt(3) + 110 Simplify -1 + -4*-4*(4 + (sqrt(880)/sqrt(11) + sqrt(5) - sqrt(320)*1) + 3). -48*sqrt(5) + 111 Simplify (4 + -3 + -1 + sqrt(17) + sqrt(2448) + -3 + (sqrt(17) + ((sqrt(136)*-1 - sqrt(136)) + sqrt(136))/sqrt(8))*-5 + 2)**2*-5. -14370 + 130*sqrt(17) Simplify (0 + 1*sqrt(539) + -4 + (-1 + sqrt(539) + -2 - sqrt(539)) + -5)**2. -168*sqrt(11) + 683 Simplify 0 + ((2 + sqrt(22)/(sqrt(11)*-1*-3))**2 - (sqrt(192)/(sqrt(6) + 3*sqrt(12)/sqrt(2)))**2). 4*sqrt(2)/3 + 20/9 Simplify 5 + -3*((sqrt(300) - (-4 + -3*sqrt(300))) + (sqrt(300) - (3 + sqrt(300) + 1)))**2*2. -28795 Simplify ((5*(sqrt(85)*2*2 - ((sqrt(85) - 2*2*sqrt(85)) + sqrt(85))))/(sqrt(10)/(sqrt(72) + sqrt(2)) + sqrt(5) + sqrt(55)/(sqrt(33)/sqrt(3))))**2. 3332 Simplify (3 + 4*(1 + sqrt(162)*1 + 0)*1)**2*-5. -13205 - 2520*sqrt(2) Simplify ((-4*sqrt(120))/sqrt(6) - sqrt(20))/(3*sqrt(4)*3) - ((4 + sqrt(80)*2 - sqrt(80))**2 + (-3*((sqrt(405) - (1 + sqrt(405) + sqrt(405))) + sqrt(405)))**2). -105 - 293*sqrt(5)/9 Simplify ((1 + sqrt(567) + -1)**2*-2 - (2 + sqrt(28)/(2*sqrt(484) + sqrt(4))))*6. -6816 - 6*sqrt(7)/23 Simplify (4*-4*(sqrt(180) + 4 + 1 + sqrt(160)/sqrt(648)))**2. 143360*sqrt(5)/9 + 4532480/81 Simplify 5*(6*(-1 + (sqrt(396) + 2*sqrt(396) - sqrt(396)))**2 + -5 + (sqrt(176) + -1)**2 + sqrt(176) + 3)*-3. -145275 + 2220*sqrt(11) Simplify (((-1*sqrt(120))/sqrt(4) - sqrt(30) - (1*sqrt(210))/sqrt(7))/(3*sqrt(80)/(sqrt(72)/(sqrt(9)*1))))**2. 3 Simplify (sqrt(350)/(sqrt(20)/(-3*sqrt(2))))/((sqrt(5) - (sqrt(5) + (sqrt(5) - (sqrt(405) + -1*sqrt(405))))) + sqrt(5) + (sqrt(60) + sqrt(15))/sqrt(3))*6. -6*sqrt(7) Simplify (-1 + (1*sqrt(448)*-1 - sqrt(448)) + -4*sqrt(448)*2 + sqrt(448) + -1 + -1)**2 + 3. 432*sqrt(7) + 36300 Simplify (sqrt(612) - (sqrt(612) + 2)*3 - (-1 + sqrt(612) + -2) - ((-6*3*sqrt(612))**2 + -5)) + -2. -198288 - 18*sqrt(17) Simplify (-5*(4 + sqrt(68)) - (sqrt(68) - 3*(sqrt(68) + 4)))**2 - (-1 + sqrt(68) + 3 + -5)**2*-4. 48*sqrt(17) + 984 Simplify (5 + -2*sqrt(2448) + -2 - (sqrt(2448) + -2 + 3 + -1))**2*-2. -44082 + 432*sqrt(17) Simplify (-2 + sqrt(637) + 2 + -5 - (sqrt(13) + -4*(sqrt(13)*-2 + sqrt(13)) - (sqrt(13) + -3)*2)) + -5. -16 + 4*sqrt(13) Simplify ((1 + (sqrt(7) + 0 + 4*sqrt(7) - sqrt(7)))*-3)**2 + -1*sqrt(112)*-5*6. 192*sqrt(7) + 1017 Simplify (((sqrt(833)*4*-4 + sqrt(833) + 3 + sqrt(833) + 3 + sqrt(833) + sqrt(833))*6*6 + -3)*1)**2. -1288224*sqrt(17) + 155503161 Simplify (-3*(-2 + sqrt(128) + 5 + 5) - (sqrt(2) + (sqrt(10)*-1)/sqrt(5) + (sqrt(4)/sqrt(2) - sqrt(2)) + 2 - sqrt(18)/(sqrt(576) + 2*sqrt(576))))**2. 7475*sqrt(2)/6 + 525313/288 Simplify -1 + (2 + (-1 + sqrt(448))*6 + (5 + (sqrt(448)*2)**2 - sqrt(448)))*-2. -3587 - 80*sqrt(7) Simplify (-2 + -5*(sqrt(11) + sqrt(66)/sqrt(6))*1 - (sqrt(88)*-1*-5)/(-5*(sqrt(24)/sqrt(3) + sqrt(8))))**2. 38*sqrt(11) + 3987/4 Simplify 5 + (sqrt(5184) - -1*sqrt(5184))/(sqrt(12) + (sqrt(1728) - sqrt(12))) + -4 + -3. -2 + 2*sqrt(3) Simplify (-1 + -1*(-1 + (-2*(5 + 1 + sqrt(2057)) - 2*((sqrt(2057) - ((sqrt(2057) + 0)*3 + sqrt(2057))) + sqrt(2057)))))**2. -528*sqrt(17) + 8372 Simplify (sqrt(1377)*-2 + -3)**2 - -2*(sqrt(1377) + 0 - sqrt(1377))**2 - (-4*-3*(4 + sqrt(1377) + -1))**2. -194067 - 7668*sqrt(17) Simplify (2*sqrt(228)*4)/(sqrt(48)*5) + ((1*sqrt(475) - sqrt(475)) + -2 + sqrt(475) + (sqrt(19)*1 + 1 - (sqrt(2736) + 0)))**2. 64*sqrt(19)/5 + 685 Simplify (-5 + sqrt(147) + 3*sqrt(147) + sqrt(147) + -4 - (-3*-2*sqrt(147) + sqrt(147)*1 + 1)**2) + 4. -7209 - 63*sqrt(3) Simplify 0 + (-4 + ((sqrt(77) + -5*(sqrt(77) + (2*sqrt(77) - sqrt(77)) + sqrt(77)))/sqrt(7) - ((sqrt(275) - (sqrt(275) + -3)) + sqrt(275) + 0)))**2. 266*sqrt(11) + 4020 Simplify (-1*((sqrt(143) - (sqrt(143)*1 - sqrt(143)))*1 + -1*sqrt(143)*5))/((-2*sqrt(1331)*2 - sqrt(1331))*-3). 4*sqrt(13)/165 Simplify ((sqrt(170) - 4*sqrt(170))*-2)/(-1*sqrt(10)*-3) + 2*(sqrt(833) + -3) + (sqrt(833) + 1)*-5. -19*sqrt(17) - 11 Simplify (((sqrt(1728)*3 + sqrt(1728) - sqrt(1728)) + sqrt(1728))/(sqrt(900)*3 + sqrt(900) - sqrt(900)) + 1*sqrt(432)*4*3)**2. 4734976/75 Simplify (sqrt(12)/((sqrt(2) - sqrt(18)) + sqrt(2)))/(sqrt(12)/sqrt(100)) + (3 + sqrt(2)*-3)**2 + 4 + 1*sqrt(2). -22*sqrt(2) + 31 Simplify 2 + (-3 + 4 + sqrt(34)/sqrt(2) - ((sqrt(612) + -1 - sqrt(612)) + -2))*-2. -2*sqrt(17) - 6 Simplify ((((6*(sqrt(78) - -2*sqrt(78)))/(sqrt(726) + sqrt(726)*2 + sqrt(726)))**2 - (-1 + 1*2*(-1 + sqrt(13)))) + -1)*3. -6*sqrt(13) + 6063/484 Simplify ((5*3*(1 + sqrt(162) + 2))**2 - (-2*(sqrt(162) + (sqrt(162) + sqrt(162) + 1)**2 + sqrt(162) + sqrt(162)) + -2)*-2) + -5. 11898*sqrt(2) + 35870 Simplify (2*(sqrt(95) + (sqrt(95)*-3 - sqrt(95))*5 - sqrt(95))*5)/(sqrt(2880) + (3*sqrt(2880) + sqrt(2880))*-3). 25*sqrt(19)/33 Simplify ((-4 + (1*(sqrt(210)/sqrt(6) - sqrt(35))*-2)/(sqrt(70)/(5*2*sqrt(10))))*-6)**2 + 0. 576 Simplify (sqrt(4032)*2)**2 + 0 + 1 - -5*((sqrt(308) + (sqrt(308) - 1*sqrt(308)))*-1)/sqrt(11). -10*sqrt(7) + 16129 Simplify (-4 + ((4*(sqrt(102) + 1*sqrt(102) + sqrt(102)))/(sqrt(6) - -3*sqrt(150)) + -5)*-4)**2. -96*sqrt(17) + 409 Simplify (3 + sqrt(50) - (sqrt(98) + 4)) + -5*(sqrt(88) + sqrt(88) + -1*sqrt(88))/sqrt(11). -12*sqrt(2) - 1 Simplify 6*((sqrt(162)/sqrt(6) - sqrt(48)*-5) + -5 + 3*(sqrt(1728) + 2))*-1. -570*sqrt(3) - 6 Simplify ((sqrt(672)*-1)/(sqrt(162)*1 - sqrt(2)))/((sqrt(210)/(sqrt(10) - (sqrt(10) - sqrt(40))))/((sqrt(7) + sqrt(28))*-6)). 18*sqrt(7) Simplify (((sqrt(65) - -2*(sqrt(65) - sqrt(65)*1)) + sqrt(65) + 4*(sqrt(65) + -2*sqrt(65)))/(2*sqrt(405)*2))**2. 13/324 Simplify (sqrt(539) - (-2 + 0 + sqrt(539))**2) + -4 + -2 + 1 + (sqrt(539)*3*-3*-4)**2. 35*sqrt(11) + 697996 Simplify 2 + ((sqrt(234)/(sqrt(12)/sqrt(2)))/(sqrt(3) - sqrt(192)) - (sqrt(143) - -2*(sqrt(143)*-2 - sqrt(143)))/(sqrt(121)/(sqrt(44)/sqrt(4)))). 2 + 34*sqrt(13)/7 Simplify (5 + -5 + 2*sqrt(343) + ((5*-1*sqrt(343) - sqrt(343)) + sqrt(343) - sqrt(343)) + (sqrt(343) - sqrt(343)*2) + -4 + 4 + sqrt(343) + 0)**2. 5488 Simplify (-4*-6*(sqrt(7) + 0 + sqrt(7)) + -6*(sqrt(21)/sqrt(3))**2*3)*-4 + -4 + 3. -192*sqrt(7) + 503 Simplify -3 + (sqrt(450) + (sqrt(450) - (sqrt(450) + -2)) + 2)**2 + (2*(4 + 2*sqrt(72) + -2))**2. 312*sqrt(2) + 1631 Simplify -3*(sqrt(17) + (-1*sqrt(17))**2*-3 + (-5 + sqrt(153))**2 + ((sqrt(85)*3)/sqrt(5) - (0 + sqrt(1377)))). -381 + 105*sqrt(17) Simplify 5*(-4 + (4 + sqrt(405) + 3 + 1 - ((2 + sqrt(405))*-2 - sqrt(405))*-4))**2. 11880*sqrt(5) + 245745 Simplify ((-3*sqrt(1100))**2 + -3)*-2 + (2 + (sqrt(1584) - 2*sqrt(1584))**2 - sqrt(1584)) + 2*(-1 + sqrt(1584)). -18210 + 12*sqrt(
{ "pile_set_name": "DM Mathematics" }
64*g**4 + 6 - 1/480*g**5. Factor w(v). -(v - 2)*(v + 5)/8 Let d(u) be the second derivative of -u**4/8 - 61*u**3/4 + 495*u**2/2 + 1490*u. Determine c, given that d(c) = 0. -66, 5 Let i(x) = -8*x + 155. Let d be i(18). Let n be (-7 + 20 - d) + (1 - 1). Factor 1/3*y**4 + 4*y**3 - 12 + 35/3*y**n - 4*y. (y - 1)*(y + 1)*(y + 6)**2/3 Let s(l) = -l**2 + 13*l + 32. Suppose -2*a = a - 45. Let f be s(a). Factor 9 - q**f - 4*q + 19 - 41 + 18. -(q - 1)*(q + 5) Let g(x) be the second derivative of -x**6/6 - 49*x**5/2 - 120*x**4 - 715*x**3/3 - 475*x**2/2 + x + 11. Solve g(u) = 0 for u. -95, -1 Suppose 0*s - 4*n - 19 = -s, -4*s + 4 = 2*n. Suppose -49*g**s + 5*g**4 + 368*g**2 + 810 - 145*g**2 + 154*g**3 + 1395*g + 462*g**2 = 0. What is g? -9, -2, -1 What is a in 332/3*a + 224 - 2/3*a**2 = 0? -2, 168 Suppose -22/7*y**2 - 38/21*y + 68/21 + 38/21*y**3 - 2/21*y**4 = 0. What is y? -1, 1, 2, 17 Let o(m) be the first derivative of 68 + 0*m + 9/2*m**2 + 1/16*m**4 - m**3. Find g such that o(g) = 0. 0, 6 Let n(w) = 7*w - 173. Let j be n(27). Suppose 142*d - 134*d = j. Factor -1/3*i**3 - 4 - 16/3*i - 7/3*i**d. -(i + 2)**2*(i + 3)/3 Suppose -5*p - 12 + 22 = 0. Factor 535*v**2 - 100 + 180*v + 568*v**2 + 2*v**3 - 1064*v**p. (v + 10)**2*(2*v - 1) Let h(p) be the first derivative of -15129*p**5 + 38130*p**4 - 78110*p**3/3 + 620*p**2 - 5*p + 165. Factor h(q). -5*(q - 1)**2*(123*q - 1)**2 Suppose 5*z = -3*v + 11, v - 3 = -3*z - 2. Suppose 2*x + 8 = t, 3*t + 82 = v*t + 2*x. Factor 3*l**2 + 3*l + 3*l**3 - t*l**2 + 9*l + 0*l. 3*l*(l - 4)*(l - 1) Let i(f) = -25*f**4 + 10*f**3 - 35*f**2 - 40*f + 30. Let z(k) = -2*k**4 - 2*k**3 - k - 1. Let o(m) = -i(m) + 10*z(m). Find d such that o(d) = 0. -1, 1, 2, 4 Let r(j) be the third derivative of -11*j**8/84 - 26*j**7/105 + 23*j**6/40 - 2*j**5/15 - j**4/6 - j**2 - 365*j. Solve r(y) = 0 for y. -2, -2/11, 0, 1/2 Let z = 729/1471 - -13/2942. Factor 5*k**3 - 1/2*k**2 + z*k**4 - 5*k + 0. k*(k - 1)*(k + 1)*(k + 10)/2 Let d(f) be the first derivative of f**5/5 - 63*f**4/4 + 62*f**3/3 - 1403. Find m such that d(m) = 0. 0, 1, 62 Let c = 5098 - 5098. Let x(q) be the second derivative of 0 - 5*q + 2/3*q**3 - 1/20*q**5 + c*q**2 + 1/6*q**4 - 1/60*q**6. Factor x(n). -n*(n - 2)*(n + 2)**2/2 Let f(k) = -12*k**2 + 20*k - 4. Let r(y) = 11*y**2 - 21*y + 3. Let w(q) = 3*f(q) + 4*r(q). Let z(m) = m**2 - m. Let c(b) = -w(b) + 6*z(b). Solve c(p) = 0. 0, 9 Suppose -13 = -i - 2*d, -3*i + 4*d + 71 = 2. Suppose -40 + i = -7*w. What is v in 0*v + 0 + 2/13*v**5 + 0*v**w - 8/13*v**4 + 0*v**2 = 0? 0, 4 Let c(j) = -j**3 + 2*j**2 + 2*j + 2. Let a(b) = -36496*b**3 - 4771*b**2 - 217*b - 13. Let y(r) = a(r) + 5*c(r). Let y(d) = 0. What is d? -1/23 Let a(w) be the third derivative of 2*w**7/315 - 7*w**6/45 - 7*w**5/45 + 52*w**4/9 - 56*w**3/3 + 18*w**2 + 4*w - 2. Find z such that a(z) = 0. -3, 1, 2, 14 Let s(p) be the third derivative of p**7/30 + 263*p**6/30 + 2351*p**5/60 - 1261*p**4/12 - 148*p**3 + 13*p**2 + 5*p + 2. Suppose s(r) = 0. What is r? -148, -3, -2/7, 1 Suppose -4*r - 839 = -6*d + 11*d, -2*d - 326 = 4*r. Let j = -171 - d. Factor 1/2*b**5 + 0*b**4 + j*b - 1/2*b**3 + 0*b**2 + 0. b**3*(b - 1)*(b + 1)/2 Let m be ((1 - 6) + (-3399)/(-515))/(14/35 - 0). Find s, given that -7/10*s**m + 3/5*s**2 - 19/10*s**3 + 0 + 0*s = 0. -3, 0, 2/7 Let k(o) be the third derivative of o**6/420 + 9*o**5/70 + 29*o**4/21 + 44*o**3/7 + 2*o**2 + 4*o + 168. Factor k(l). 2*(l + 2)*(l + 3)*(l + 22)/7 Let h(k) be the second derivative of 19*k**5/10 - 169*k**4/6 + 134*k**3/3 + 16*k**2 - 22*k - 15. Factor h(j). 2*(j - 8)*(j - 1)*(19*j + 2) Let x be -10*(-18)/1440 - (-15)/8. Factor 1/5*q**x - 11/5*q + 2. (q - 10)*(q - 1)/5 Suppose 0 = 8*l - 5*l - d - 80, -l + 3*d = -16. Let b be (-24)/18*(-6)/l. Factor -b*y + 2/7*y**2 + 2/7*y**3 - 2/7. 2*(y - 1)*(y + 1)**2/7 Determine g so that 536/9 - 88/3*g - 2/9*g**2 = 0. -134, 2 Let v(t) = 2*t**3 + 47*t**2 + 23*t + 3. Let z be v(-23). Let 1060*b + 3*b**2 - 4*b**2 - 1060*b + 17*b**2 + 4*b**z + 6*b**5 - 26*b**4 = 0. Calculate b. -2/3, 0, 1, 4 Let u = -9765 + 9768. Solve 4/7*z**4 + 40/7*z**u + 144/7 - 240/7*z + 52/7*z**2 = 0. -6, 1 Let -4*m**2 + 8 + 29 - 38 + 5 + 266*m - 266*m**3 = 0. What is m? -1, -2/133, 1 Let z be ((-41)/(-4) - -2) + (-1)/4. Let u = 7 - z. Let r(w) = -9*w**3 + 5. Let h(o) = -28*o**3 + 16. Let c(a) = u*h(a) + 16*r(a). Factor c(t). -4*t**3 Let n(p) be the third derivative of -9*p**8/56 - 121*p**7/35 - 4279*p**6/180 - 4579*p**5/90 - 362*p**4/9 - 140*p**3/9 - 1166*p**2. Find v, given that n(v) = 0. -7, -5, -1, -2/9 Let y = -2959/4 - -740. Let t(i) be the second derivative of -1/2*i**6 + 32*i + y*i**5 + 0 - 5/3*i**3 + 5/42*i**7 + 5/4*i**4 + 0*i**2. Factor t(g). 5*g*(g - 2)*(g - 1)**2*(g + 1) Let b = -103 - -107. Determine s so that 12*s**2 + 555 + 2*s**b + 5*s**3 - 30*s**3 - 555 = 0. 0, 1/2, 12 Suppose 364*j - 15442 - 3211 + j**2 - 28*j - 3*j**2 + 4541 = 0. What is j? 84 Let z = -54766 + 54768. Solve -2*n + 9/4*n**3 + 7/4*n**z - 7/4*n**4 + 0 - 1/4*n**5 = 0. -8, -1, 0, 1 Let n be (3/(-12))/(90/(-180)). Factor -1/2*s**2 + n*s + 1. -(s - 2)*(s + 1)/2 Let z = -273/34 - -2251/238. Factor z*r**2 + 4/7 + 2*r. 2*(r + 1)*(5*r + 2)/7 Let b(v) = v**3 + 4*v**2 - 12*v + 2. Let y = 58 - 64. Let j be b(y). Factor 3*n - 3*n**3 + 7*n**2 + 116 + 2*n**j - 125. -3*(n - 3)*(n - 1)*(n + 1) Suppose 205*y - 4865 = 212*y. Let d = y - -2089/3. Let -2/9*n**5 - 2/9*n + 4/9*n**3 - d*n**4 - 4/3 + 8/3*n**2 = 0. What is n? -6, -1, 1 Let d be (((-1120)/364)/10)/((-180)/78). Let 4/15*g**2 - 2/15*g**3 + 0 - d*g = 0. Calculate g. 0, 1 Let k be (-1*13 - 150/(-700)*14) + 25/2. Let 10 - 24*w - k*w**2 = 0. What is w? -10, 2/5 Let h(z) be the second derivative of -7 + 2*z - 68/3*z**3 + 578/9*z**2 + 23/36*z**4 - 1/180*z**5. Suppose h(f) = 0. What is f? 1, 34 What is r in 35*r**2 + 1125 + 371*r - 814*r**3 + 32*r + 22*r + 813*r**3 = 0? -5, 45 Let l be 3*(480/432)/(4/6) + (-15 - -10). Determine g so that l + 34/5*g - 2/5*g**2 = 0. 0, 17 Let z(c) be the first derivative of -1/42*c**6 - 2/21*c**3 + 0*c**2 + 0*c - 4/35*c**5 - 99 - 5/28*c**4. Solve z(y) = 0. -2, -1, 0 Factor -71733 + d**5 + 71733 + 9*d**4 - 21*d**4. d**4*(d - 12) Let n(y) be the second derivative of 0*y**2 - 1/3*y**3 - 1/40*y**5 + 0 + 1/6*y**4 - 11*y. Find b such that n(b) = 0. 0, 2 Let y = 252562 - 252170. Factor 56/3*o + y + 2/9*o**2. 2*(o + 42)**2/9 Let g(q) = 2*q**2 - 2. Let y(k) = 10*k - 169. Let x be y(17). Let s(o) = -7*o**2 - 84*o - 1758. Let l(a) = x*s(a) + 3*g(a). Factor l(c). -(c + 42)**2 Let o be (-27)/15 - (-5 - -3). Let l(n) be the first derivative of 1/3*n**3 + 8 + 0*n + 1/4*n**4 - 1/2*n**2 - o*n**5. Suppose l(i) = 0. Calculate i. -1, 0, 1 Let j = 295 - 300. Let q(c) = -c + 83. Let g be q(j). Determine b so that g*b**4 - 352/5*b**2 + 72/5 + 60*b**5 - 152/5*b**3 + 12/5*b = 0. -1, -2/3, 3/5 Determine k, given that -14*k**4 + 4*k**5 + 648 + 1722*k**2 - 268*k**3 - 8*k**4 + 1068*k + 4*k**4 - 1092*k - 2064*k = 0. -9, 1/2, 1, 6 Let a = 526267023/5285 - 497889/5. Let v = -4/151 - a. Solve 0 + 2/7*m**4 - 2/7*m**2 - v*m + 2/7*m**3 = 0 for m. -1, 0, 1 Let v = -596/5 + 120. Let s = 73342 - 73339. Factor 0*c + 0*c**2 + 0 + v*c**4 + 1/5*c**s - c**5. -c**3*(c - 1)*(5*c + 1)/5 Let b(a) be the third derivative of 7*a**5/15 + 155*a**4/3 + 176*a**3/3 - 5*a**2 - 34. Factor b(f). 4*(f + 44)*(7*f + 2) Let l(j) be the second derivative of j**7/21 - 73*j**6/15 - 113*j**5/5 - 76*j**4/3 + 5805*j. Find m, given that l(m) = 0. -2, -1, 0, 76 Let t be ((-5)/(-2))/(-92 + 97). Let u(p) be the first derivative of -2 - 1/2*p**2 + 0*p + t*p**3. Determine f so that u(f) = 0. 0, 2/3 Factor -1740*k + 7*k**2 + k**2 - 5*k**2 + k**2 - 7*k**2 - 252300. -3*(k + 290)**2 Let k(y) be the first derivative of 2*y**3/15 - 32*y**2/5 + 24*y + 2393. Factor k(o). 2*(o - 30)*(o - 2)/5 Solve -28*n**2 - 10/3*n**3 + 12 + 58/3*n = 0. -9, -2/5, 1 Let d(j) be the third derivative of j**5/210 - 421*j**4/42 + 177241*j**3/21 - 933*j**2. Factor d(w). 2*(w - 421)**2/7 Suppose -218*r + 296 + 1026 = 164*r + 279*r. Let i = 6/17 - 7/68. Factor -5/4*m + i*m**r + 3/2. (m - 3)*(m - 2)/4 Let b(y) be the third derivative of 0*y**5 + 0*y**3 + 2 + 0*y - 1/480*y**6 + 2*y**2 + 1/24*y**4. Factor b(z). -z*(z - 2)*(z + 2)/4 Factor 0 + 8/11*y**4 + 134*y**3 - 1110/11*y**2 + 0*y. 2*y**2*(y + 185
{ "pile_set_name": "DM Mathematics" }
(-30324)/34. 2, 223 Let b = 42 - 38. Suppose 0 = -b*d - 0*d. What are the prime factors of (d*(-4)/16)/2 - -110? 2, 5, 11 Let w(v) = -v**3 + 13*v - 5*v**2 - 19*v + 33*v - 13 - 13. List the prime factors of w(-11). 13, 31 Suppose -76 = l - 3*j - 574, 2*l = -3*j + 951. Let r = 806 + l. What are the prime factors of r? 1289 Suppose 3*l = l + 1408. Let i be l/(-66)*(-63)/2. Suppose 2*g + 2*g = i. List the prime factors of g. 2, 3, 7 Suppose -5*w = -14*w + 5*w. What are the prime factors of 23270/40 + (1/4 - w)? 2, 3, 97 Let x(y) = -y**2 - 8*y - 6. Let m be x(-5). Suppose m*g = 8*g + 560. Suppose 14*f - g = 6*f. What are the prime factors of f? 2, 5, 7 Suppose 5*o - 122657 = s, 16*s - 12*s + 122648 = 5*o. What are the prime factors of o? 2, 6133 Suppose -45*o + 4*y - 1493 = -48*o, 0 = o - 3*y - 502. Let u = o + -354. List the prime factors of u. 5, 29 Suppose -g - 8 = -5*g. Suppose -2*q - 1054 = -g*i, -3*i - 422 = -q - 1999. Suppose -4*j - 1 = 3, -5*j = 5*c - i. What are the prime factors of c? 2, 53 Suppose -45*d - 29230 = -82*d. Suppose 13*l + d - 3247 = 0. What are the prime factors of l? 3, 7 Suppose 0*q = -q + 64. Let y = 64 - q. Suppose -10*t + 17*t - 462 = y. List the prime factors of t. 2, 3, 11 Suppose -4*q + 2 = 34. Let i be (-2)/(-8) + 154/q + -5. List the prime factors of (-16)/i - (-94)/3. 2 Let h(c) be the second derivative of 5*c**3 - 121*c**2/2 - 48*c + 2. What are the prime factors of h(27)? 13, 53 Let t be (2/7 - 130/(-35))*2. Suppose -4*p = -t*p + 1212. List the prime factors of 2*(p/6 - -4). 109 Let w(g) = g**3 + 18*g**2 + g - 25. Let t be 4 + -1 + -24 + 5. List the prime factors of w(t). 3, 157 Suppose -390*k = -3556605 - 1367419 - 6587606. What are the prime factors of k? 3, 9839 Let n(x) = -533*x**2 - 12 + x**3 - 9*x + 32*x + 515*x**2. What are the prime factors of n(17)? 2, 3, 5 Let c = -221 - -285. Let l = c - -269. List the prime factors of l. 3, 37 Let r(l) = l**3 - 3*l**2 + 55*l - 2*l**2 - 2*l**2 - 6*l**2 - l**2. List the prime factors of r(11). 2, 11 Suppose -8*y = -9*y + 30. Suppose 4*n + 2*k = 38, -5*n + 0*k + y = -k. Suppose 871 + 620 = n*d. What are the prime factors of d? 3, 71 Let w(y) be the first derivative of -9/2*y**2 - 33 + 1/3*y**3 - 40*y. List the prime factors of w(19). 2, 3, 5 Let k(c) = 2*c**2 + 27*c + 37. Let p be k(-12). What are the prime factors of 2/(p*2/130)? 2, 5, 13 Let b = -18543 + 38900. List the prime factors of b. 20357 Let y = 100 + -98. Suppose -t - 122 = -y*u, 0 = -4*u + t - 6*t + 244. What are the prime factors of u? 61 Let b(x) = -13*x**3 + 19*x**2 + 10*x - 27. Let c(p) = -11*p**3 + 20*p**2 + 11*p - 26. Let n(z) = 6*b(z) - 7*c(z). List the prime factors of n(-27). 2, 151 Suppose 0 = -22*t + 205560 + 461722. List the prime factors of t. 7, 619 Let u = 352 + -92. Suppose -4*f + 265 = v, 0 = 6*v - 5*v - f - u. List the prime factors of v. 3, 29 Let q(z) = -z - 20. Let r(d) = d + 20. Let a(u) = 5*q(u) + 6*r(u). Let c be a(0). Let j = c - -24. List the prime factors of j. 2, 11 What are the prime factors of (-8)/((-32)/20) + 4479? 2, 19, 59 Let u = -3819 - -10377. What are the prime factors of u? 2, 3, 1093 Suppose -19256 = -45*n + 44*n - 4*j, 2*n + 3*j = 38542. What are the prime factors of n? 2, 5, 241 Let i be 11525/(-10)*2*2/5. Let u = i - -1525. Suppose 0 = -5*m + 4*l + u, -93 = -4*m + 4*l + 391. List the prime factors of m. 7, 17 Let p = 23157 + -10210. List the prime factors of p. 11, 107 Let l be 13752/(-135) - -7 - (-4)/(-30). List the prime factors of (2774/l)/((-48)/(-50) + -1). 2, 5, 73 Let f = 2818 - 2342. List the prime factors of f. 2, 7, 17 Let j = 6976 + 2706. List the prime factors of j. 2, 47, 103 List the prime factors of ((-3514)/(-42))/((-13)/(-1521)). 3, 13, 251 Suppose -j = i, -3*j - 2 - 10 = 0. Suppose -2*p = -3*t - 682, -p - 2*t + 343 = -i*t. List the prime factors of p. 5, 67 Suppose -1572 - 381 = k. Let r = k + 2977. What are the prime factors of r? 2 Let d(h) = -h**3 + 8*h**2 - 4*h + 32. Let y be d(8). Suppose -3*v + 5*k + 1321 = 0, 3*v - 2*k + 3*k - 1309 = y. List the prime factors of v. 19, 23 Suppose 4*s - 134 = -5*r, 5*r - 489*s + 488*s = 104. Suppose -5*y = -3*x + 113, 62 = 5*x + 2*y - 85. Suppose r*d + 1872 = x*d. What are the prime factors of d? 2, 13 Let m = -5749 - -11879. List the prime factors of m. 2, 5, 613 Suppose -j + 258 = 2*k, 0 = k - 0*k - 2*j - 134. Let m = -44 + k. List the prime factors of m. 2, 43 Let k(p) = 270*p - 70. Let m(f) = -135*f + 34. Let a(l) = 4*k(l) + 7*m(l). What are the prime factors of a(3)? 3, 11 Let o(f) = -8208*f**3 - 6*f**2 - f - 2. List the prime factors of o(-1). 59, 139 Let p(h) = 78*h + 45. Let d be (-32)/6 + 5 + (-64)/(-12). What are the prime factors of p(d)? 3, 5, 29 Let x(t) = 2*t**2 - 44*t - 434. List the prime factors of x(-26). 2, 1031 Let p = 727 - 472. List the prime factors of ((-34)/(-5) - 6)*p. 2, 3, 17 Suppose 2*w = -27 + 31. Suppose 2*m + 3*t = 4*t + 648, 0 = -5*m + w*t + 1620. List the prime factors of m. 2, 3 Let m = -93 - -146. Let q = m - 48. List the prime factors of (-1 + -5)*115/(-15)*q. 2, 5, 23 Let h(r) = -r**3 + 24*r**2 + 75*r - 32. List the prime factors of h(17). 2, 23, 71 Let g = 34906 - 19240. What are the prime factors of g? 2, 3, 7, 373 Let t(s) = -4*s**2 - 146*s + 100. List the prime factors of t(-15). 2, 5, 139 Suppose 14*z + z - 25630 = 5*z. What are the prime factors of z? 11, 233 Let p(c) be the second derivative of c**5/20 + 4*c**4/3 - 4*c**3/3 + 7*c**2 - 3*c. Let o be (-22 - 2)*(-58)/(-87). List the prime factors of p(o). 2, 71 Let l = 137 - 76. Suppose 20*t - k + 1992 = 24*t, 0 = 4*t + 4*k - 1980. Suppose -l = -8*i + t. List the prime factors of i. 2, 5, 7 Suppose 13*m - 11*m - 4 = 0. Suppose d + h - 3 = -1, 2*d - 12 = m*h. Let y(s) = -s + 13. What are the prime factors of y(d)? 3 Let m(c) = -76*c + 14. Let k = 99 - 103. What are the prime factors of m(k)? 2, 3, 53 Suppose -3*l - 6*z + z + 75 = 0, -72 = -3*l - 4*z. Let o be 8/l - (-5016)/(-15). List the prime factors of 1/((-11)/(-22) + 165/o). 167 Let g(i) be the first derivative of -8*i**2 - 7*i + 57. List the prime factors of g(-4). 3, 19 Let a(r) = r + 17. Let g be a(-10). Let z(p) = 25*p - 16. Let x be z(g). Suppose 4*n - x - 137 = 0. What are the prime factors of n? 2, 37 Let f be 26/143 + (-568)/(-22). Suppose 4*p + 8 = 0, -3*x = x + 5*p + f. List the prime factors of (-4)/40*x - 246/(-10). 5 Suppose -16*s + 18*s + 3*o = -93, -3*o = 3. List the prime factors of (-48)/((-5)/s*-6). 2, 3 Let d = 3567 - 1851. Suppose 6*k - d = -6*k. Let u = k + -55. List the prime factors of u. 2, 11 List the prime factors of (22 - (-360)/(-12)) + 14404/1. 2, 59, 61 Let h(m) = 28*m**2 + 7*m + 4. Suppose -4*p + 5*x = 22, 4*p = -p + 5*x - 25. Let t be h(p). What are the prime factors of ((-1)/(-5))/(1/t)? 47 Let w = -2834 + 6563. List the prime factors of w. 3, 11, 113 Let p(q) = 8968*q - 2740. What are the prime factors of p(4)? 2, 3, 11, 251 Suppose 3*g = 2*z - 2637, 4*g + 3533 = 49*z - 52*z. Let p = -452 - g. List the prime factors of p. 3, 11, 13 Let k = 9 + -5. Let p be (10/25)/(6*(-3)/(-225)). Suppose -810 = -p*w + y, 0*w - 4*y - 664 = -k*w. List the prime factors of w. 7, 23 Let o = 43 + -14. Suppose -o*h + 11*h = -7020. What are the prime factors of h? 2, 3, 5, 13 Let l(v) be the third derivative of 5*v**4/3 - 22*v**3/3 - 6*v**2. List the prime factors of l(8). 2, 3, 23 Let d(w) = -19*w**3 + 3*w**2 - 60*w + 7. What are the prime factors of d(-7)? 7, 1013 Let x = 4071 - 1336. Suppose -4*u + x = u. List the prime factors of u. 547 List the prime factors of 320472/30 + (-6)/(-45)*-3. 2, 7, 109 Let k = -175 + 644. Let z = k - -32. Suppose 3*g - 6*g = -4*c + z, 0 = 5*g + 15. List the prime factors of c. 3, 41 Suppose -o = 2, 15*k + 7*o = 11*k + 102026. List the prime factors of k. 2, 5, 2551 Let z(p) = -2*p + 18. Let y be z(0). Let x be y*((-5)/5 - (-18)/4). Suppose o = -2*n + 4*o + 126, n - x = -o. List the prime factors of n. 3, 7 Let g = -58 - -63. Suppose g*h = 17*h - 24. What are the prime factors of (-4 - h)*-3 - 5? 13 Suppose 49*i - 23*i = -264576. What are the prime factors of (-10)/(-4)*i/(-240)? 2, 53 Let t(x) = 2*x + 6. Let c be t(-1). Suppose -h = c, -128 - 116 = -m - 2*h. List the prime factors of m. 2, 3, 7 Suppose -18*d + 43
{ "pile_set_name": "DM Mathematics" }
to base 16 2 Convert 6 (base 8) to base 6. 10 What is 3 (base 8) in base 14? 3 Convert 17 (base 15) to base 13. 19 Convert 5 (base 16) to base 3. 12 -15 (base 6) to base 8 -13 0 (base 13) to base 5 0 What is 5 (base 15) in base 6? 5 Convert 1a9 (base 11) to base 2. 11110000 10 (base 2) to base 10 2 What is -127 (base 10) in base 16? -7f 1 (base 16) to base 6 1 What is 3 (base 8) in base 14? 3 c (base 13) to base 6 20 What is 5 (base 15) in base 14? 5 12 (base 10) to base 15 c -10 (base 7) to base 12 -7 Convert -2 (base 10) to base 11. -2 -14 (base 9) to base 6 -21 -29 (base 15) to base 13 -30 What is 11 (base 12) in base 2? 1101 Convert 22 (base 3) to base 5. 13 40 (base 11) to base 3 1122 Convert -1000 (base 2) to base 10. -8 What is -100010 (base 2) in base 9? -37 Convert -7 (base 15) to base 4. -13 Convert 1 (base 4) to base 2. 1 -21 (base 11) to base 9 -25 What is 31 (base 6) in base 9? 21 -50 (base 16) to base 14 -5a Convert 1021 (base 3) to base 5. 114 Convert 10 (base 2) to base 5. 2 -1 (base 10) to base 12 -1 What is -7 (base 13) in base 15? -7 Convert -4 (base 7) to base 10. -4 21 (base 5) to base 12 b Convert 10201 (base 4) to base 2. 100100001 Convert -7 (base 8) to base 6. -11 What is a2 (base 15) in base 8? 230 2 (base 6) to base 7 2 -11000 (base 2) to base 16 -18 10 (base 8) to base 2 1000 Convert -98 (base 10) to base 7. -200 What is -10f (base 16) in base 6? -1131 Convert a9 (base 12) to base 13. 9c What is 4 (base 5) in base 8? 4 What is 11000 (base 2) in base 12? 20 Convert 34 (base 5) to base 4. 103 What is -80 (base 15) in base 2? -1111000 What is 9 (base 13) in base 3? 100 Convert 2 (base 14) to base 15. 2 -52 (base 12) to base 9 -68 What is 2 (base 8) in base 7? 2 Convert 10 (base 4) to base 15. 4 -79 (base 15) to base 9 -136 What is 2 (base 15) in base 10? 2 -1 (base 5) to base 3 -1 Convert -41 (base 13) to base 9. -58 What is 11 (base 13) in base 7? 20 -62 (base 11) to base 10 -68 Convert 4f (base 16) to base 10. 79 Convert 11 (base 6) to base 2. 111 -89 (base 11) to base 10 -97 -d1 (base 15) to base 13 -121 Convert 56 (base 8) to base 13. 37 Convert -1 (base 16) to base 8. -1 -400 (base 5) to base 6 -244 -81 (base 11) to base 14 -65 Convert 1 (base 11) to base 9. 1 8 (base 16) to base 11 8 Convert -3 (base 7) to base 11. -3 Convert 5 (base 11) to base 4. 11 Convert 0 (base 15) to base 12. 0 What is 0 (base 6) in base 13? 0 What is -21 (base 14) in base 16? -1d Convert -10 (base 7) to base 8. -7 22 (base 5) to base 8 14 What is -b (base 14) in base 4? -23 Convert -1 (base 9) to base 12. -1 What is 442 (base 9) in base 2? 101101010 Convert 5 (base 6) to base 12. 5 Convert -64 (base 15) to base 6. -234 Convert 6 (base 13) to base 12. 6 Convert -78 (base 16) to base 5. -440 -6 (base 8) to base 11 -6 What is 3 (base 5) in base 15? 3 What is 101 (base 12) in base 6? 401 What is -103 (base 7) in base 4? -310 What is -11 (base 2) in base 12? -3 What is -33 (base 9) in base 6? -50 Convert 147 (base 14) to base 8. 403 5 (base 6) to base 11 5 Convert 62 (base 8) to base 9. 55 0 (base 12) to base 5 0 Convert 2 (base 4) to base 10. 2 Convert 11 (base 15) to base 5. 31 What is -2 (base 15) in base 11? -2 What is 24 (base 9) in base 8? 26 What is 100 (base 2) in base 7? 4 What is 59 (base 16) in base 2? 1011001 Convert 126 (base 8) to base 11. 79 What is 4 (base 16) in base 12? 4 What is 0 (base 13) in base 16? 0 What is 125 (base 8) in base 11? 78 Convert 1 (base 3) to base 15. 1 214 (base 9) to base 3 20111 -1341 (base 5) to base 10 -221 Convert -41 (base 10) to base 7. -56 What is -3 (base 14) in base 2? -11 What is 2110 (base 3) in base 13? 51 What is -3 (base 5) in base 10? -3 -3 (base 5) to base 8 -3 -13 (base 4) to base 9 -7 Convert 1004 (base 5) to base 12. a9 What is 0 (base 4) in base 10? 0 -1 (base 5) to base 3 -1 Convert 130 (base 9) to base 5. 413 What is -61 (base 7) in base 13? -34 Convert 10 (base 15) to base 11. 14 65 (base 7) to base 5 142 What is 20111 (base 3) in base 15? ba 11 (base 2) to base 4 3 Convert -1 (base 9) to base 14. -1 -83 (base 9) to base 10 -75 Convert -156 (base 9) to base 2. -10000100 41 (base 15) to base 13 49 -3 (base 10) to base 16 -3 13 (base 15) to base 11 17 -15 (base 7) to base 11 -11 Convert -61 (base 9) to base 10. -55 Convert 88 (base 9) to base 11. 73 What is -1050 (base 6) in base 16? -f6 Convert -26 (base 12) to base 13. -24 -b (base 16) to base 9 -12 4 (base 13) to base 14 4 -20 (base 9) to base 14 -14 Convert 21 (base 3) to base 16. 7 -120 (base 3) to base 14 -11 Convert 204 (base 5) to base 11. 4a Convert 332 (base 4) to base 14. 46 Convert 1 (base 7) to base 15. 1 What is -13 (base 5) in base 12? -8 What is -70 (base 14) in base 2? -1100010 a (base 12) to base 4 22 Convert -33 (base 13) to base 11. -39 What is 1 (base 14) in base 13? 1 Convert 4 (base 9) to base 15. 4 281 (base 9) to base 14 12b -d5 (base 15) to base 10 -200 12110 (base 3) to base 15 9c What is 2 (base 11) in base 16? 2 What is 55 (base 14) in base 4? 1023 Convert -6 (base 12) to base 9. -6 What is -9 (base 11) in base 5? -14 -10 (base 9) to base 4 -21 Convert -20 (base 12) to base 4. -120 Convert 115 (base 9) to base 6. 235 -4 (base 5) to base 8 -4 What is -120 (base 3) in base 11? -14 Convert 4 (base 7) to base 14. 4 What is 23 (base 5) in base 2? 1101 What is -136 (base 10) in base 12? -b4 Convert -3 (base 11) to base 9. -3 100 (base 5) to base 8 31 Convert -13 (base 7) to base 4. -22 What is -333 (base 5) in base 7? -162 Convert 1 (base 2) to base 7. 1 Convert -2 (base 16) to base 15. -2 Convert -1310 (base 4) to base 10. -116 Convert 1 (base 3) to base 2. 1 5 (base 12) to base 14 5 What is 3 (base 16) in base 6? 3 What is 1 (base 10) in base 15? 1 Convert -a7 (base 12) to base 9. -151 What is 4 (base 15) in base 12? 4 What is -3 (base 7) in base 10? -3 b3 (base 13) to base 14 a6 What is 40 (base 5) in base 16? 14 40 (base 5) to base 16 14 What is 0 (base 11) in base 6? 0 What is -3 (base 11) in base 14? -3 -117 (base 11) to base 4 -2023 What is 11 (base 3) in base 12? 4 Convert 11 (base 13) to base 15. e Convert 3 (base 5) to base 6. 3 Convert -4 (base 13) to base 16. -4 What is 46 (base 16) in base 6? 154 What is -60 (base 16) in base 14? -6c What is -64 (base 15) in base 8? -136 What is -3 (base 9) in base 4? -3 What is -13 (base 16) in base 14? -15 What is -602 (base 7) in base 2? -100101000 What is 3b (base 16) in base 9? 65 What is 2 (base 6) in base 14? 2 Convert -2020 (base 4) to base 9. -161 What is 20 (base 8) in base 15? 11 Convert -2 (base 14) to base 6. -2 What is -7 (base 11) in base 4? -13 Convert 4 (base 13) to base 14. 4 What is 4 (base 8) in base 14? 4 12 (base 9) to base 6 15 -7 (base 14) to base 9 -7 0 (base 11) to base 14 0 Convert -52 (base 8) to base 4. -222 Convert 10 (base 4) to base 2. 100 -7 (base 10) to base 9 -7 Convert -14 (base 15) to base 4. -103 226 (base 8) to base 4 2112 What is 0 (base 13) in base 2? 0 1 (base 16) to base 15 1 What is -40 (base 7) in base 12? -24 -11 (base 2) to base 3 -10 What is -6 (base 12) in base 2? -110 What is 5 (base 16) in base 4? 11 What is 0 (base 10) in base 7? 0 Convert 97 (base 14) to base 16. 85 What is 3 (base 14) in base 12? 3 2 (base 5) to base 7 2 Convert 2 (base 12) to base 9. 2 38 (base 16) to base 12 48 Convert -3 (base 8) to base 16. -3 -115 (base 7) to base 11 -56 What is -11103 (base 4) in base 10? -339 What is 112 (base 7) in base 15? 3d Convert -20 (base 5) to base 16. -a -101 (base 2) to base 14 -5 -1 (base 8) to base 9 -1 What is -10e (base 15) in base 11? -1a8 121 (base 5) to base 16 24 Convert -254 (base 9) to base 4. -3103 52 (base 9) to base 13 38 Convert -127 (base 11) to base 6. -410 What is -6 (base 14) in base 16? -6 -20 (base 4) to base 13 -8 What is 11211 (base 4) in base 2? 101100101 Convert 19 (base 15) to base 9. 26 10 (base 8) to base 4 20 Convert 103 (base 10) to base 13. 7c Convert -10 (base 5) to base 3. -12 What is -20 (base 7) in base 11? -13 -3 (base 7) to base 15 -3 38 (base 11) to base 15 2b Convert 100 (base 5) to base 7. 34 -101 (base 5) to base 12 -22 -17 (base 13) to base 9 -22 -4 (base 9) to base 4 -10 What is 51 (base 15) in base 12? 64 67 (base 14) to base 16 5b What is -28 (base 15) in base 12
{ "pile_set_name": "DM Mathematics" }
0*k**2. -k**2 Collect the terms in -2*u**2 - 28*u**3 + 2*u**2 - 30*u**3 + 57*u**3. -u**3 Collect the terms in 1156*a**2 - 8*a**3 - 1156*a**2 + 15*a**3. 7*a**3 Collect the terms in -3 + 6 - 3 + 333*u - 334*u. -u Collect the terms in 3*k - 6*k + 5*k**3 + 104*k**3. 109*k**3 - 3*k Collect the terms in 1 + 3 + 4*g**2 - 4. 4*g**2 Collect the terms in -3*u + 23*u + 14*u + 2*u. 36*u Collect the terms in -11*y**2 - 5*y**2 + 2*y**2 + 15*y**2. y**2 Collect the terms in -u + 0*u + 2*u + 156. u + 156 Collect the terms in 5*m**2 - 133*m**3 + 136*m**3 - 5*m**2. 3*m**3 Collect the terms in 11*i**3 - 17*i**3 - 10*i**3. -16*i**3 Collect the terms in 194 - 194 + 32*a. 32*a Collect the terms in -63*u + 191*u - 64*u - 66*u. -2*u Collect the terms in -37470 + 4*w + 37470 - 4*w - 2*w**3. -2*w**3 Collect the terms in 10*g**2 - 13*g + 13*g + 0*g**2 + 5*g**2. 15*g**2 Collect the terms in 15*a**3 - 8*a**3 + 5*a**3. 12*a**3 Collect the terms in -6*a - 16*a + 43*a - 8*a - 12*a. a Collect the terms in 0*a + 0*a + 0*a + 1510*a**2 - 1515*a**2. -5*a**2 Collect the terms in -197 + 197 + 0*c**3 + 6*c**3. 6*c**3 Collect the terms in -10*p**2 + 4*p**2 - 3*p**2. -9*p**2 Collect the terms in 29*j**3 - 75*j**3 + 9*j**3. -37*j**3 Collect the terms in -4*u**3 - 35*u**2 + 35*u**2. -4*u**3 Collect the terms in -1856 + 1856 + 8*p**3. 8*p**3 Collect the terms in 24*j**3 - 7*j**3 - 19*j**3. -2*j**3 Collect the terms in -14*k**2 + 0*k**2 + 3*k**2 + 3*k**2 + 6*k**2. -2*k**2 Collect the terms in -195*d - 200*d - 206*d + 599*d. -2*d Collect the terms in 6 - s - 12 + 6 - 35*s**3. -35*s**3 - s Collect the terms in 4*t**3 + 2*t**3 + 2*t**3 - 10*t**3. -2*t**3 Collect the terms in 3114 + 5*q - 3114. 5*q Collect the terms in 112 - 76 + h**3 - 36. h**3 Collect the terms in 579*x**2 + 597*x**2 - 1166*x**2. 10*x**2 Collect the terms in -358*c + 734*c - 379*c. -3*c Collect the terms in -447*m + 1 + 452*m - 1. 5*m Collect the terms in -220077*f**2 + 1 + 220092*f**2 - 1. 15*f**2 Collect the terms in 19 - 19 - 5*m**2 - m**2. -6*m**2 Collect the terms in -6 + 4*k - 5*k**2 + k - 5*k. -5*k**2 - 6 Collect the terms in -7*w**2 + w**2 + 124 - 257 + 133. -6*w**2 Collect the terms in -n**3 + 2*n**3 - 3*n**3. -2*n**3 Collect the terms in -4*f + 141 - 141 + 3*f. -f Collect the terms in -46*g**2 - 57*g**2 + 151*g**2 - 44*g**2. 4*g**2 Collect the terms in -2 - 24 - 21 - 20*r + 8. -20*r - 39 Collect the terms in -98*v - 18*v - 2*v**2 - 15*v. -2*v**2 - 131*v Collect the terms in -3379*o + 3379*o + 26*o**2. 26*o**2 Collect the terms in 2*i**2 + 0*i**2 - 2*i**2 + 2*i**2. 2*i**2 Collect the terms in -2*o**3 + 4*o - 3 - 11*o + 7*o. -2*o**3 - 3 Collect the terms in 24*s**3 - 2*s**2 - 3*s**3 - 8*s**2. 21*s**3 - 10*s**2 Collect the terms in 61 + 3*q - 61. 3*q Collect the terms in -3*a**3 + a**3 + 6*a**3 - 15*a**3. -11*a**3 Collect the terms in -k + 10*k + 6*k. 15*k Collect the terms in 6 - 19 + 3 - 58 + 2*d. 2*d - 68 Collect the terms in 22*r + 10 - 3 - 7. 22*r Collect the terms in -1009*q - 1003*q - 2*q**3 + 2012*q. -2*q**3 Collect the terms in -7*i**3 - 13*i**3 - 22*i**3. -42*i**3 Collect the terms in 76985*i - 76985*i - i**3. -i**3 Collect the terms in 12*q**3 + 24*q**2 - 18*q**3 - 26*q**2 - 4*q**3. -10*q**3 - 2*q**2 Collect the terms in -51*j - 42*j + 97*j. 4*j Collect the terms in 10*w + 16*w - 26*w + 2*w**2. 2*w**2 Collect the terms in 111 + 37*z**3 - 111. 37*z**3 Collect the terms in 19*s**2 + 25*s**2 + 21*s**2 - 60*s**2. 5*s**2 Collect the terms in 42 - 4*r - 14*r - 42. -18*r Collect the terms in 8*j**2 + 14 - 28 + 14. 8*j**2 Collect the terms in 1116*z**3 - 2242*z**3 + 1121*z**3 - 2 + 2. -5*z**3 Collect the terms in -2 + 119*h**3 - 120*h**3 - 4. -h**3 - 6 Collect the terms in -c**2 - 7*c**2 + 15*c**2 - 10*c**2. -3*c**2 Collect the terms in -25*g + 41*g - 24*g. -8*g Collect the terms in -22*r**2 + 5986 - 5986. -22*r**2 Collect the terms in 72*i**2 - 31*i**2 - 36*i**2. 5*i**2 Collect the terms in 316*d**2 + 313*d**2 + 320*d**2 - 947*d**2. 2*d**2 Collect the terms in -13*f + 7*f**2 + 18*f - 5*f. 7*f**2 Collect the terms in -34 + 15 - 4*i**3 + 19. -4*i**3 Collect the terms in -1 + 2 - 2*x + 1 + 21*x. 19*x + 2 Collect the terms in 8*r**2 - 10*r**2 + 5*r**2. 3*r**2 Collect the terms in 93 + 342 - 109 - 12*p. -12*p + 326 Collect the terms in -4*d**3 - 21 + 2 + 3*d**3. -d**3 - 19 Collect the terms in w**2 + 411 - 411. w**2 Collect the terms in -33 + 60 - 100*m**2 - 27. -100*m**2 Collect the terms in 0*d**3 + 3*d**3 - 6*d**2 - 7*d**2. 3*d**3 - 13*d**2 Collect the terms in 15 - n + 8 - 17 - 6. -n Collect the terms in -8*s - 15*s**3 + 274*s**3 + 8*s. 259*s**3 Collect the terms in 2*d**2 - 3*d**2 + 5*d**2 + 2*d**2. 6*d**2 Collect the terms in -2*b - 11*b + 4*b - 7*b. -16*b Collect the terms in -10*h + 40*h - 13*h - 12*h. 5*h Collect the terms in -23 + 26*c**2 + c**2 + 26. 27*c**2 + 3 Collect the terms in 44*p**3 + 47*p**3 - 135*p**3 + 47*p**3. 3*p**3 Collect the terms in -250*v**3 + 403*v**3 - 151*v**3. 2*v**3 Collect the terms in 85*y**3 + 362*y**3 + 254*y**3 - 97*y**3. 604*y**3 Collect the terms in 1162*o**2 + 1419*o**2 + 227*o**2. 2808*o**2 Collect the terms in 3*b**2 - 5*b**2 - b**2 + 0*b**2 + b**2. -2*b**2 Collect the terms in -2*n**3 - n**3 - n**3 + 0*n**3. -4*n**3 Collect the terms in 0*j - 3*j + 2*j + 2*j. j Collect the terms in 1977*y + 2394*y - 1103*y. 3268*y Collect the terms in 204*j**2 + 203*j**2 - 397*j**2. 10*j**2 Collect the terms in 9*v**3 - 1 - 26 + 27. 9*v**3 Collect the terms in -12*f**2 + 10 - 45 + 15 + 18. -12*f**2 - 2 Collect the terms in -337713*r - 16*r**2 + 337713*r. -16*r**2 Collect the terms in 3*g**2 + 25*g**2 + 131*g**2. 159*g**2 Collect the terms in -10*k**2 + 13*k**2 - 7*k**2. -4*k**2 Collect the terms in 78*h**2 + 2 - 89*h**2 - 2. -11*h**2 Collect the terms in 146 - r - 146 + 5*r - 6*r. -2*r Collect the terms in 34*i + 0*i**3 - 3*i**3 + 4*i**3. i**3 + 34*i Collect the terms in -26 - 4 - 22 + 4*x + 12. 4*x - 40 Collect the terms in -4*h + 177735 + h - 177735. -3*h Collect the terms in -45*z + 45*z - 29 - 5*z**2 + 3*z**2. -2*z**2 - 29 Collect the terms in b**2 - 36*b**2 - 6*b**2. -41*b**2 Collect the terms in 0 + 0 + 2367*u**3 - 2368*u**3. -u**3 Collect the terms in 6*p + 0*p + 13*p + 3*p - 19*p. 3*p Collect the terms in -74*f**3 - 39*f**3 + 22*f**3. -91*f**3 Collect the terms in 91*c + 5 + c - 5. 92*c Collect the terms in 5*c**2 + 4*c**2 + 2*c**3 - 9*c**2. 2*c**3 Collect the terms in 2*r**3 - 7*r**3 + 3*r**3 - 5*r**3. -7*r**3 Collect the terms in -45 + 25 - 3*w + 20. -3*w Collect the terms in 9*u + 7*u + 8*u - 17*u + 2. 7*u + 2 Collect the terms in 48*d**2 - 3*d + 3*d + 26*d**2 + 4. 74*d**2 + 4 Collect the terms in 35*h**2 - 90 + 90 - 10*h. 35*h**2 - 10*h Collect the terms in y**3 + 12*y**3 + 31*y**3. 44*y**3 Collect the terms in -49*j**2 + 70*j**2 + 108*j**2 + 83*j**2. 212*j**2 Collect the terms in 13*o**3 + 3*o**3 - 12*o**3. 4*o**3 Collect the terms in -20*s + 2*s**2 + 14*s + 6*s. 2*s**2 Collect the terms in -12 + 23 - 11 + 38*g**3. 38*g**3 Collect the terms in 5*d - 8*d - 5*d. -8*d Collect the terms in -3*l + l + l + 7. -l + 7 Collect the terms in 3 - 228*o**3 + 225*o**3 - 3. -3*o**3 Collect the terms in 15*g**2 - 15*g**2 - 5*g**3. -5*g**3 Collect the terms in 990 - 8*l - 990. -8*l Collect the terms in -108*z**3 - 175*z**3 - 309*z**3 + 121*z**3. -471*z**3 Collect the terms in -135*n + 77*n + 55*n. -3*n Collect the terms in -121*a + 354*a - 116*a - 112*a. 5*a Collect the terms in 4*c**3 + 10*c**3 + 9*c - 9*c. 14*c**3 Collect the terms in -3 + 0 - 16*r + 13*r. -3*r - 3 Collect the terms in -35*i**3 + 56*i**3 - 27*i**3. -6*i**3 Collect the terms in -9*i - 5*i - 31*i. -45*i Collect the terms in 40*t**2 + 5*t**2 - 47*t**2. -2*t**2 Collect the terms in h - 541*h**2 + 2*h - 3*h. -541*h**2 Collect the terms in -578*l**2 + 6*l**3 + 578*l**2 + 11*l**3. 17*l**3 Collect the terms in 2 - 609*t**3 - 3 + 615*t**3. 6*t**3 - 1 Collect the terms in 10 - 10 - 9*d**2 + 0. -9*d**2 Collect the terms in 2*g - 5*g + 3*g + 18*g - 2*g**2. -2*g**2 + 18*g Collect the terms in -41*o**3 + 69*o**3 - 25*o**3. 3*o**3 Collect the terms in 3*m**3 - 8 - 36 + 6. 3*m**3 - 38 Collect the terms in -9 + 42 - 7*k - 17 - 16. -7*k Collect the terms in 12*k + 36*k - 162*k - 74*k. -188*k Collect the terms in -1188*y**2 + 1188*y**2 - y*
{ "pile_set_name": "DM Mathematics" }
n. 3 Solve -1938*q - 25 = -1933*q + 2*p + 2*p, -2*q - 10 = 2*p for q. -5 Solve -19*l = -4*n + 42, -652*l + 653*l - 2 = -4*n for l. -2 Solve -446*c + 22 = -u - 444*c, -4*c = 5*u + 110 for u. -22 Solve 21 = -4*t + 5*t - 3*r, 23*t + 3*r = 32*t - 45 for t. 3 Solve 9868*y = 2*d + 9873*y - 3, -4*d = -4*y + 8 for d. -1 Solve b - 4 - 17 = 3*s, 0 = 5*b - 3*s - 57 for b. 9 Solve -15 = 5*p - 975*o + 970*o, 0 = 4*p + 3*o - 44 for p. 5 Solve 4*h = m + 15, m - 5*h - 44 = -63 for m. 1 Solve -112*o - 5*u = -110*o + 20, 0 = -3*o - 4*u - 23 for o. -5 Solve -16*y - 43 = -5*g, -50*y + 3*g + 6 = -51*y for y. -3 Solve -u = -5*k + 10, -3*k - 173*u = -87*u - 91*u + 16 for k. 3 Solve 9*a - 333*w = -334*w - 106, 0 = -5*w + 10 for a. -12 Solve 2*c + 5*n = -4, -3 = -3*c + 10*n - 13*n for c. 3 Solve -2*j + 5*o = 4, -8*o + 6 = -3*j - 2*o - 15*o for j. -2 Solve 5*v = -2*s + 11*v + 14, 14 = -s - 4*v for s. -2 Solve 258*s - 266*s = 3*k + 33, -s + 4 = 2*k for k. 5 Solve -2*r - 45*w + 42*w + 11 = 0, -4*w = 2*r - 12 for r. 4 Solve -v + 77*b - 54*b = -49, -9*b + 12*b = 5*v - 21 for v. 3 Solve 7*g = 7*b - 8*b + 93, -43 = -2*b - 3*g for b. 2 Solve -5 = -5*n + 2*u, 0 = 7*n + n - 4*u - 16 for n. -3 Solve 2*g + a = 5, g + 53*a - 1 = 52*a for g. 4 Solve 57*n - x = 54*n + 9, -2*x = -4*n + 10 for n. 4 Solve -t - v + 1 = 0, -15*v + 10*v + 15 = 0 for t. -2 Solve 5*v = t + 28, -3*t = -0*v + 5*v - 16 for v. 5 Solve i - 4*v + 5 = -7, -2*v = -4 for i. -4 Solve -3*b - 31 = 4*l, -396*b + 4*l = -389*b - 61 for b. 3 Solve -178 + 190 = 6*j + 3*t, -5*j - t + 7 = 0 for j. 1 Solve -6*d + d = -4*j + 36, -44 = 4*j + 5*d for j. -1 Solve -5*z + 13 = 2*p, -332*p + 5*z = -330*p - 3 for p. 4 Solve -35296*y + 35300*y + 5*v + 16 = 0, 2*y - 3*v = -8 for y. -4 Solve 10*r = 3*r + 4*n + 7, -2*r + 3*n = -2 for r. 1 Solve 36*s - 31*s - 11 = -4*o, -12 = 3*o - 3*s for o. -1 Solve -9 = -3*p, -8726*p + 8721*p = 2*w - 13 for w. -1 Solve -3*c + 4 = -f, -80 + 103 = 6*c + f for c. 3 Solve -3*m = -w + 2130 - 2117, 5*w + m = 1 for w. 1 Solve 3*h + 114 = 7*k, -43*k - 33 = h - 45*k for h. -3 Solve 16 = -2*m - 3*s, 3*m - 2*s + 352 = 341 for m. -5 Solve 12 = -3*y + 6*w, -55*y + 50*y + w = 2 for y. 0 Solve 0 = 3*g + 15, -280*g + 258*g = 3*o + 98 for o. 4 Solve -4*p + 8*p - 16 = 4*n, -14 = -4*p + 5*n for p. 6 Solve -2*g = 5*t + 20, -1267*g + 1270*g + 25 = -5*t for t. -2 Solve 0 = -a + 5*x - 11 - 1, 0 = 3*a + 2*x + x for a. -2 Solve -981*l = -985*l + b - 28, -3*l - 5*b + 2 = 0 for l. -6 Solve -287*v + 279*v = 5*w + 50, 3*v = 5*w - 5 for v. -5 Solve 4*a + j + 18 = 0, -280*a = -281*a - 3*j + 1 for a. -5 Solve -7 = -3*j + 2*q - 21, -20 = j + 7*q for j. -6 Solve -g - 5*y - 28 = 0, -4567*y = -4563*y + 4 for g. -23 Solve 48*d - 4*j + 604 = 0, -5*j + 137 - 97 = -5*d for d. -13 Solve 3*m - 15 = -5*i - 10, 2*i - 3 = -m for i. 4 Solve -889*m = -3*f - 893*m - 1, -2*m = 4*f - 2 for f. 1 Solve -5*f - j = 25, -2 + 24 = -3*f - 2*j for f. -4 Solve -5*p - 2*n = 55, -2*p + 4*n + 60 - 106 = 0 for p. -13 Solve h + 5*k - 28 = 0, -21*h + 264*k = 265*k - 68 for h. 3 Solve -3*u - 5*w + 14 = 0, 152*w - 34 = -10*u + 148*w for u. 3 Solve -5*q = 3*k - 8*k - 15, -2 = -4*k + 2*q for k. 4 Solve -34486*x + 34490*x = -5*i - 32, 4*i - 5*x = -1 for i. -4 Solve -12*a + 11*a = -2, 2*p + 2*a - 12 = 0 for p. 4 Solve -4*d + 3*u = 1557 - 1576, -3*u - 18 = -3*d for d. 1 Solve -3*k = 5*y - 34, -k + 69 - 63 = y for k. -2 Solve -4*x = -2*d + 38, -2*d - 10 = -2596*x + 2598*x for x. -8 Solve -17*y + 115*b - 120*b = 25, 2*y - b - 5 = 0 for y. 0 Solve 0 = -5*c + 3*t - 16 + 30, -2*c + 10 = t for c. 4 Solve -2297*g + c = -2299*g + 10, -c = 9*g - 31 for g. 3 Solve -l + 29*q = -6*q + 168, -4*q = -l - 13 for l. 7 Solve 0 = -81*k + 2*q + 1791 - 1301, 2*k - 22 = 5*q for k. 6 Solve 71*q + 2*b - 9 = 70*q, -3*q - 2*b + 15 = 0 for q. 3 Solve 3*z + 2*a = -32 + 5, -45 = 5*z + a for z. -9 Solve -32*s + 33*s = -2*c + 5, -3*c = 3*s - 3 for c. 4 Solve 3*a = k - 23, 0 = 2*k + 4*a + 3029 - 3075 for k. 23 Solve -7 = -2*z + 10*u - 7*u, -11 = -z + 3*u for z. -4 Solve 4*j - 2523*z = -2521*z + 50, 0 = j - z - 15 for j. 10 Solve 0 = -6*h + 26*u - 29*u - 33, 0 = 6*h - u + 21 for h. -4 Solve 1 = w, 2*z = 894*w - 892*w - 10 for z. -4 Solve -5*g = -10, 11*g - 38 = -12*z + 8*z for z. 4 Solve 4*t = u - 5, -5*t = -675*u + 679*u + 1 for t. -1 Solve -a = 2*w, -54 = 5*w + 4*a - 48 for w. 2 Solve -5*m - 10 = -4*c, -142*c = -139*c + 5*m - 25 for c. 5 Solve 4*o + 3*y - 495 = -520, o - 4*y - 27 = 0 for o. -1 Solve 4012 = -n + f + 4002, n + f + 17 = 3*f for n. -3 Solve -4*w + 24 = -4*u, 2*w - w - u - 8 = -w for w. 2 Solve -i - 74 + 70 = -b, -14 = 5*i - 2*b for i. -2 Solve -2*k - 4*m + 14 = 0, 5*m + 49 - 67 = -2*k for k. -1 Solve -5*m - 8*a - 44 = -7*m, -5*a = m + 23 for m. 2 Solve 610*j = 4*h + 605*j, 4*j = -2*h + 26 for h. 5 Solve 4*v + q = -13, -4*v + 1832 = -q + 1835 for v. -2 Solve k - 6 = -10203*y + 10202*y + 3*k, 3*y = k + 18 for y. 6 Solve -2*l - 11 = d, 222*l - 224*l + 9 = -3*d for d. -5 Solve o + 4*c - 9 = 0, 159 = -o - 5*c + 170 for o. 1 Solve 8*j = 2*a + 22, 5615*j = 5612*j - a + 10 for j. 3 Solve 32 = 3*m + 198*o - 200*o, -4*m + 3*o = -47 for m. 2 Solve 24*f - 38 = 2*r + 12*f, 2*r + 14 = 4*f for r. -1 Solve 139*q + 25 = h + 4*h + 134*q, 3*h + q - 19 = 0 for h. 6 Solve y + 44*q + 42 = 46*q, -4*y = q - 12 for y. -2 Solve -4*r - 95*z = -106*z - 86, 13 = -r - 3*z for r. 5 Solve k - 10 = b, -17*k - 34*k - 5 = -4*b - 50*k for b. 5 Solve -37 = -3*x - 2*c, 3*x - 2*c + 273 - 212 = 3*c for x. 3 Solve 0 = 2*b - 4*n, -36 = -4*b + 135*n - 145*n for b. 4 Solve 0 = -4*k - 4*w - 20, 5*k = -4*w - 18 - 6 for k. -4 Solve 8 = -8*l, 4*l = -328*y + 332*y + 8 for y. -3 Solve 52*s + 15 = 47*s - 2*f, 4*f = -14*s - 50 for s. -5 Solve 0 = 20*z + 3*r + 55, 3*z - 59*r + 54*r - 19 = 0 for z. -2 Solve 10 = 2*v, l - 81*v + 25 = -76*v for l. 0 Solve z = -3*s + 3, 3*z - 2*s = 4*z + 2 - 1 for z. -9 Solve s - 5*h - 41 = 5*s, -5*h = -15 for s. -14 Solve 2*d = 10, -8*l - 3*d = -10*l - 23 for l. -4 Solve -4*u - 68 + 62 = 5*z, 5*u = 3*z + 11 for z. -2 Solve 3*w - 207*x = -203*x - 23, -3*x = 2*w + 38 for w. -13 Solve 40*j - k + 1 = 45*j, -3*j - 4*k + 4 = 0 for j. 0 Solve -21*f + 18 = -19*f - 4*g, 4 = 16*g - 18*g for f. 5 Solve -3*o - 12 = 4*m, 0 = -2*o + 4*m - 1265 + 1277 for o. 0 Solve 2*m - 26*i = -78, 11*i + 3*i - 6 = -4*m + 12*i for m. 0 Solve m + 6 = 3*b + 8*m - 3*m, -5*m = 0 for b. 2 Solve -5*v = 31*q - 26*q - 40, 4*q = -2*v + 28 for v. 2 Solve 5*g - 160 = -31*q, -1465*g = -1468*g + 4*q - 17 for g. 1 Solve -47*c + 7 = i - 48*c, 2*i = 5*c + 29 for i. 2 Solve 2*t + 35 - 44 = 3*g, 5*g = 4*t - 17 for g. -1 Solve 0 = 85*r - 90*r - i + 3, -3*r - 3*i = 39 for r. 4 Solve -4*n - g = -9, -47 = -3*n + 241*g - 236*g for n. 4 Solve 2 = 4*f + 2*c, 78*f - 82*f - 3 = 3*c for f. 3 Solve 29 = 4*t - 5*o, 2544*t + 21 = 2540*t - 5*o for t. 1 Solve 9 = 29*j + 3*f + 163, 0 = 3*f + 9 for j. -5 Solve -20*p = -4*t - 12, 0 = p - 3*t + 27 - 22 for p. 1 Solve 2*a - 18 = 2*o, -12 = -5*a + 2*o + 3 for a. -1 Solve -18*v + 6*v + 8*v - 4 = 4*i, -5*v + 13 = 2*i for v. 5 Solve 5*d = -4 + 29, 0 = -5*n - 4*d + 45 for n. 5 Solve 2*y = k - 5, 777*k = 773*k - 4*y - 16 for k. -1 Solve -25*b + 23*b = -6, -3*m - 18 = -2*b for m. -4 Solve 3*j + 4 = 22*x - 26*x, -3*x - 24 = -3*j for j. 4 Solve -24 = 5*f + h, -14*f + 3*h - 33 = -8*f for f. -5 Solve q = -4*y + 23, 372 - 396 = 2*q - 2*y for q. -5 Solve -f - 17 = -5*r, 258*r - 261*r - f + 7 = 0 for r. 3 Solve 2*m - 20 + 4 = -2*z, -3*m - 1 = -2*z for m. 3 Solve -16*g - 85 + 19 = -2666*k + 2668*k, 4*k + 4*g = 8 for k. 7 Solve -2666*r - 28 = -3*u - 2662*r, 4*r = -5*u + 4 for u. 4 Solve -4*f - 29 = j, -18*f - j = -15*f + 24 for f. -5 Solve 2454*q + 3*w = 2458*q, 4*q - 4 = 2*w for q. 3 Solve -71*y - 5 = -4*h - 70*y, -8*h - 2*y - 10 = 0 for h. 0 Solve 2*y + 18 = -71*r + 74*r, 5*r - 5*y - 35 = 0 for r. 4 Solve 3*i - 129 = -39*o, 5*i + 2 = -4*o + 34 for o. 3 Solve -a = -b + 3, -4*a - 11 = b + 11 for b. -2 Solve 0 = 4*k + 4*b + 8, -10*k - 4*b - 1 = 7 for k. 0 Solve -j + 13 = 4*f - 0*j, -44 = -5*f + 8*j for f. 4 Solve -145*j = -107*j - 5*m + 177, 6 = -4*j - 2*m - 0*m for j. -4 Solve -3*k = 6*v - 249 + 312, -2*k - v - 36 = 0 for k. -17 Solve 0 = 4*q + 78*m + 452, 16 = -2*q - 2*m + 12 for q. 4 Solve -318*z = -323*z + 2*d + 12, -12 = -2*z + 2*d for
{ "pile_set_name": "DM Mathematics" }
12. Suppose -4*t - 7 - 91 = -2*u, h*u + 5*t = 131. What are the prime factors of u? 3, 13 Let l(m) = m**3 - 11*m**2 + 10*m - 6. Let j be l(10). Let q(w) = -4*w**2 + 5 + 9*w - 2*w**3 + 6 + w**3 - 2. List the prime factors of q(j). 3 Let o(t) = -4*t**2 + 8*t**3 + 5*t**3 - 14*t**3 - 3*t. Let d be o(-7). List the prime factors of d/(-4)*1/(-3). 2, 7 Suppose -1 + 3 = 4*v + 5*k, 0 = v - 5*k - 13. Suppose -2*f - 498 = -5*j, v*j + f = -f + 302. List the prime factors of j. 2, 5 Suppose 17*b - 45 = 14*b. Suppose -36 = -3*y + b. Suppose x - y = 16. What are the prime factors of x? 3, 11 Let b = -130 + 170. List the prime factors of b. 2, 5 Let r = -34 + 25. Let t = r + 15. Suppose t*d - 27 = 213. List the prime factors of d. 2, 5 Let u = -1245 + 2992. List the prime factors of u. 1747 Let d(c) = 4*c. Let f be d(-3). Let k = f - 0. List the prime factors of k/4 - -4 - -53. 2, 3 Let z = 50 + -45. Suppose 73 - z = c. What are the prime factors of c? 2, 17 Let x(t) = 21*t - 9*t - 14*t + t**2 + 2. What are the prime factors of x(2)? 2 Suppose -15*w + 9*w = -4866. What are the prime factors of w? 811 Suppose -4*v = 4*v - 40. What are the prime factors of (v/(-2) + 3)*8*9? 2, 3 Let f(a) = a**2 - 14*a + 452. What are the prime factors of f(0)? 2, 113 Let u(w) = -w**3 - w**2 - w. Let z be u(0). What are the prime factors of 3 + 1 + 83 + z/2? 3, 29 Let d be 282/10 + (-4)/20. Let q be -1*(-3)/(6/4). Suppose -q*l - 6 = -d. What are the prime factors of l? 11 Let j = 1289 - 887. Suppose g - 88 = -4*a, -11*g + 8*g + 228 = 3*a. Suppose 5*c - j = -g. List the prime factors of c. 2, 3, 11 Let u = 897 - 33. What are the prime factors of u? 2, 3 Let z = 31 + -26. Suppose 6*n + 140 = 2*h + 8*n, 336 = z*h - 2*n. Suppose -3*k + h = -61. List the prime factors of k. 43 Suppose -22*r + 928 = -20*r + 5*w, -4*w = -16. What are the prime factors of r? 2, 227 Let g be (1 - -2)/((-3)/4). Let i be -5 - g - (-1 + 3). Let s = i + 17. List the prime factors of s. 2, 7 Let c(r) = -r + 6. Let o be c(5). Suppose -q = o, -3*q - q - 540 = -4*w. List the prime factors of w. 2, 67 Suppose 3*d = 5*d + 3*j + 5, 12 = 3*d - 2*j. Suppose 14 = 4*l + 2. Suppose -2*a = 4*s - 48, -105 = -l*a + 7*s - d*s. List the prime factors of a. 2, 3, 5 Let p = -335 - -627. Suppose -206 = -3*i + p. Suppose 34 - i = -4*a. List the prime factors of a. 3, 11 Let b be (-153)/3*(-1)/3. Suppose -4*z + 16 = -3*z. Let j = z + b. List the prime factors of j. 3, 11 Suppose 3*l - 5*l + 4 = 0. Suppose -l*h + 4*b - 15 + 5 = 0, 8 = -h + 3*b. What are the prime factors of h - 4 - (-6 + -12)? 3, 5 Suppose 236*q - 285*q + 229271 = 0. List the prime factors of q. 4679 Let z(h) = 9 + h + 92 + 0 + 0*h + 3*h**3. List the prime factors of z(0). 101 Let k(a) = -7*a**2 + 6*a - 31. Let z(d) = 8*d**2 - 7*d + 30. Let v(p) = 6*k(p) + 5*z(p). Let m be v(0). List the prime factors of (-5)/(15/m) + 4. 2 Let x(j) = j**3 - 30*j**2 + 26*j - 58. List the prime factors of x(30). 2, 19 Let w(s) = -2*s + 23. Let o be w(15). Let g(u) = -2*u**2 - 3 + 3*u**2 + 8*u + 12. List the prime factors of g(o). 2 Suppose -4*f + 112 = 2*r, -r - f + 64 = 3*f. Let y be 3/(44/r + -1). List the prime factors of (y/30)/((-2)/30). 2, 3 Let d = 1658 + 348. What are the prime factors of d? 2, 17, 59 Let k be (-207)/(-2 + (-20)/(-16)). Suppose -2*o = -6*o + k. What are the prime factors of o/9 + 2/(-3)? 7 Let r(x) = x**3 - 7*x**2 + x - 8. Let k be r(7). Let z(h) = 5*h**2 - h - 2. Let n be z(k). What are the prime factors of n + -1 + (16 - -4)? 23 Let x = -547 - -641. What are the prime factors of x? 2, 47 Suppose -3*z = -o - 4770, 13*z - 18*z + o = -7950. List the prime factors of z. 2, 3, 5, 53 Let t = -11 - -26. Let c(l) = l**3 - 14*l**2 - 10*l. List the prime factors of c(t). 3, 5 Let r be 4/2 + (-2 - (8 + -7)). Let l(n) = -108*n**3 - n**2 - 3*n - 2. List the prime factors of l(r). 2, 3 Let q(y) = 3*y**2 - 5*y - 26. Let f(d) = d**3 + 4*d - 7. Let j be f(2). List the prime factors of q(j). 2, 43 What are the prime factors of (1 - 4)/(36710/7345 + -5)? 13, 113 Let z(i) = i**2 - 9*i + 11. Let m be z(8). Suppose -6 + 0 = -m*g. Suppose x + 2*x + 26 = k, g*k = 5*x + 53. What are the prime factors of k? 29 Let i be -2*(-1)/2*11. Let r = -10 + i. Let h(c) = 7*c. List the prime factors of h(r). 7 Suppose 12*y = 2*y + 3530. List the prime factors of y. 353 Let n be 8 - ((2 - 6) + 6). Suppose -1 + 7 = n*m. Let l = 10 + m. List the prime factors of l. 11 Let c(w) = -5*w + 7. Let j(g) = -g. Let a(h) = -2*c(h) + 4*j(h). Let r be a(7). Suppose 14 = b + b + 3*d, -4*b - 5*d = -r. List the prime factors of b. 7 Let b be 31/(-3 - (-3 - 1)). Suppose 2*n + 26 = 4*h, 5*n - 5*h + 46 = -34. Let q = n + b. List the prime factors of q. 2, 3 Let d(z) = z**3 + 37*z**2 + 85*z + 89. What are the prime factors of d(-33)? 2, 5, 41 What are the prime factors of ((-108)/(-144))/((-12)/(-7136))? 2, 223 Suppose r - 715 = 1711. What are the prime factors of r? 2, 1213 Let i(g) = -g + 1. Let d(s) = -10*s + 9. Let n(r) = -d(r) - 4*i(r). Let k be n(5). Suppose 8 - 89 = -o + 5*u, -u = o - k. List the prime factors of o. 61 Suppose 2*z + 12 = 3*o, 7 = 2*o - 0*z - z. Suppose -o = -0*w - w. What are the prime factors of -3*10*(-1)/w? 3, 5 Suppose -216 = -w - 2*r, -r + 109 = w - 102. List the prime factors of w. 2, 103 Let w = 17 - 14. Let f be 65 + w/((-6)/4). Let j = -30 + f. List the prime factors of j. 3, 11 Suppose -4*a = -2*a. Suppose 9*p - 4*p - 4*m - 27 = a, 0 = -4*m - 12. Suppose v + 56 = 4*h, 6*h - p*h - 4*v - 55 = 0. List the prime factors of h. 13 Suppose 4*s - 5*a - 9782 = 0, 16*s + 7319 = 19*s + 5*a. What are the prime factors of s? 7, 349 Let z = 27 + -25. Suppose -h + 5*o + 39 = 2*h, -45 = -z*h - 3*o. What are the prime factors of h? 2, 3 Let y(n) be the second derivative of n**5/20 - n**4/4 + n**3/6 + n**2/2 - 3*n. Let i be y(2). What are the prime factors of 48*(i/3)/(-1)? 2 Let k(y) be the first derivative of 14*y**2 - 5*y - 14. List the prime factors of k(4). 107 Suppose 1215 = 3*k + 5*b, -4*k + 2*b - b + 1620 = 0. What are the prime factors of k? 3, 5 Suppose 2*y + 5*a - 1237 - 1841 = 0, 2*a - 4617 = -3*y. List the prime factors of y. 3, 19 Suppose -2*r = -0*r - 10. Suppose 3*o + 10*h - 9*h - 198 = 0, -310 = -5*o + r*h. What are the prime factors of o? 5, 13 Suppose 0 = -2*r + 2*u - 4*u + 4328, 2*u - 8666 = -4*r. What are the prime factors of r? 3, 241 Suppose 41*j - 43*j - 4*a = -3448, -4*a = 3*j - 5182. What are the prime factors of j? 2, 3, 17 Suppose 0 = i - 3*v - 19, 3*i - 3*v - 14 = 25. Suppose -i = -0*h + h. Let j = 4 - h. List the prime factors of j. 2, 7 Let f(w) = 2*w - 9. Let u be f(7). Suppose -3*m = 3, 0*m + u*m = v - 8. What are the prime factors of v/((-36)/(-51))*4? 17 Let k = -68 - -74. List the prime factors of k/8 - 441/(-4). 3, 37 Suppose -6*t + 10*t - 40 = 0. What are the prime factors of 10/t - -1*24? 5 Suppose -4*m - 2*g = 18, 0*m + 3*g = -3*m - 21. What are the prime factors of (-3 - -1)*(m + -17)? 2, 19 Suppose c = 4*z - 122, -5*z + 4*c - 3*c + 152 = 0. Suppose 2 = -2*r + z. What are the prime factors of 12/(-42) - (-340)/r? 2, 3 Let l(c) = -2*c + 0*c**2 - 2*c + c**2 - 3 + 0*c**2. Let n be l(5). Suppose 276 = 4*u + 2*b, n*b - 187 = -5*u + 160. List the prime factors of u. 71 Let q = 387 + -61. What are the prime factors of q? 2, 163 Let l(b) = -9*b**2 - 10 + 4*b**3 - 5*b - 2*b**3 + 4*b - 3*b**3. Let v be l(-9). What are the prime factors of 12/3*v/(-2)? 2 Suppose 3*y - 9 = 3. Let f = 56 - 52. Suppose 72 = y*x - f. List the prime factors of x. 19 Let g(x) = 7*x + 30. Let j(f) = 13*f + 61. Let k(a) = -5*g(a) + 2*j(a). What are the prime factors of k(-12)? 2, 5 Let t = 5 + -5. Suppose -4*k = -t*k - 12. Suppose 0 = k*u - 0*u - 69. List the prime factors of u. 23 Suppose 2*a - 83 = -l, l - 26 = 4*a + 27. Let f = l - 4. List the prime factors of f. 3, 23 Let v(z) = z**2 - 14. Let g be v(-4). Suppose -g*o + 100 + 69 = -p, 2*p = -4*o + 326. What are the prime factors of o? 83 Suppose -3*r + 18 = -1800. Let c = -333 + r. What are the prime factors of c? 3, 7, 13 Suppose -o + 1324 = a + 253, 0 = -4*a + 2*o + 4308. List the prime factors of a. 5, 43 Let b = 932 + -278. Suppose 3*x - 7*x = 4*a - 664, 0 = 4*x - a - b. What are the prime factors of x? 2, 41 Let c be 2 + (-94)/(-
{ "pile_set_name": "DM Mathematics" }
power of 1/10, to the nearest integer? 4 What is the square root of 1258685 to the nearest integer? 1122 What is 258963 to the power of 1/2, to the nearest integer? 509 What is the square root of 419501 to the nearest integer? 648 What is 5677115 to the power of 1/6, to the nearest integer? 13 What is the seventh root of 3128305 to the nearest integer? 8 What is 17743312 to the power of 1/2, to the nearest integer? 4212 What is 27042831 to the power of 1/2, to the nearest integer? 5200 What is the tenth root of 327545 to the nearest integer? 4 What is 1211598 to the power of 1/10, to the nearest integer? 4 What is the square root of 19803576 to the nearest integer? 4450 What is the fifth root of 6605130 to the nearest integer? 23 What is the tenth root of 619029 to the nearest integer? 4 What is the seventh root of 27529688 to the nearest integer? 12 What is the square root of 2365227 to the nearest integer? 1538 What is the fourth root of 367298 to the nearest integer? 25 What is the fifth root of 530799 to the nearest integer? 14 What is the cube root of 11765150 to the nearest integer? 227 What is the cube root of 184222 to the nearest integer? 57 What is the cube root of 16713312 to the nearest integer? 256 What is 85111 to the power of 1/2, to the nearest integer? 292 What is 2488691 to the power of 1/3, to the nearest integer? 136 What is 16325 to the power of 1/2, to the nearest integer? 128 What is the sixth root of 226649 to the nearest integer? 8 What is 331814 to the power of 1/8, to the nearest integer? 5 What is 2804948 to the power of 1/7, to the nearest integer? 8 What is 98260 to the power of 1/6, to the nearest integer? 7 What is the cube root of 1053816 to the nearest integer? 102 What is 11773718 to the power of 1/9, to the nearest integer? 6 What is 11235717 to the power of 1/6, to the nearest integer? 15 What is 50324 to the power of 1/2, to the nearest integer? 224 What is the sixth root of 1514373 to the nearest integer? 11 What is the third root of 2558371 to the nearest integer? 137 What is the square root of 217223 to the nearest integer? 466 What is 5424515 to the power of 1/4, to the nearest integer? 48 What is the square root of 6404672 to the nearest integer? 2531 What is the ninth root of 3331884 to the nearest integer? 5 What is 613551 to the power of 1/8, to the nearest integer? 5 What is 574410 to the power of 1/3, to the nearest integer? 83 What is 367368 to the power of 1/3, to the nearest integer? 72 What is the third root of 306114 to the nearest integer? 67 What is the fifth root of 89979 to the nearest integer? 10 What is the ninth root of 154156 to the nearest integer? 4 What is the cube root of 375074 to the nearest integer? 72 What is the square root of 855926 to the nearest integer? 925 What is 155969 to the power of 1/2, to the nearest integer? 395 What is the tenth root of 13792455 to the nearest integer? 5 What is 620271 to the power of 1/3, to the nearest integer? 85 What is 108979 to the power of 1/10, to the nearest integer? 3 What is 11781896 to the power of 1/3, to the nearest integer? 228 What is 413285 to the power of 1/3, to the nearest integer? 74 What is 2421667 to the power of 1/2, to the nearest integer? 1556 What is 1076466 to the power of 1/6, to the nearest integer? 10 What is 20878283 to the power of 1/10, to the nearest integer? 5 What is 4980779 to the power of 1/2, to the nearest integer? 2232 What is the fourth root of 5203874 to the nearest integer? 48 What is the square root of 415739 to the nearest integer? 645 What is the cube root of 92006 to the nearest integer? 45 What is 4419510 to the power of 1/2, to the nearest integer? 2102 What is the square root of 579332 to the nearest integer? 761 What is the cube root of 199920 to the nearest integer? 58 What is the third root of 790510 to the nearest integer? 92 What is the ninth root of 5551020 to the nearest integer? 6 What is the cube root of 347572 to the nearest integer? 70 What is the tenth root of 2429902 to the nearest integer? 4 What is 537347 to the power of 1/3, to the nearest integer? 81 What is the eighth root of 573885 to the nearest integer? 5 What is the ninth root of 30424913 to the nearest integer? 7 What is 5992241 to the power of 1/5, to the nearest integer? 23 What is the third root of 554530 to the nearest integer? 82 What is 1735022 to the power of 1/6, to the nearest integer? 11 What is 2323788 to the power of 1/10, to the nearest integer? 4 What is the fourth root of 188577 to the nearest integer? 21 What is 29210 to the power of 1/3, to the nearest integer? 31 What is 3748127 to the power of 1/2, to the nearest integer? 1936 What is 5888255 to the power of 1/2, to the nearest integer? 2427 What is the cube root of 52977 to the nearest integer? 38 What is the third root of 2092660 to the nearest integer? 128 What is the third root of 1535686 to the nearest integer? 115 What is the square root of 1285678 to the nearest integer? 1134 What is the square root of 5970575 to the nearest integer? 2443 What is the fifth root of 1634685 to the nearest integer? 17 What is 289437 to the power of 1/4, to the nearest integer? 23 What is the square root of 29879 to the nearest integer? 173 What is the square root of 4231052 to the nearest integer? 2057 What is 529209 to the power of 1/5, to the nearest integer? 14 What is 19061856 to the power of 1/3, to the nearest integer? 267 What is the square root of 299124 to the nearest integer? 547 What is 134120 to the power of 1/2, to the nearest integer? 366 What is the seventh root of 312313 to the nearest integer? 6 What is the square root of 1037095 to the nearest integer? 1018 What is 41080861 to the power of 1/3, to the nearest integer? 345 What is 625986 to the power of 1/2, to the nearest integer? 791 What is the ninth root of 15260242 to the nearest integer? 6 What is 12946783 to the power of 1/9, to the nearest integer? 6 What is the seventh root of 1262570 to the nearest integer? 7 What is the fourth root of 2052806 to the nearest integer? 38 What is the square root of 1047273 to the nearest integer? 1023 What is the square root of 393213 to the nearest integer? 627 What is 125715 to the power of 1/8, to the nearest integer? 4 What is 3105757 to the power of 1/2, to the nearest integer? 1762 What is the square root of 6537781 to the nearest integer? 2557 What is the square root of 4379716 to the nearest integer? 2093 What is the fifth root of 118050 to the nearest integer? 10 What is 7346682 to the power of 1/7, to the nearest integer? 10 What is the square root of 4457195 to the nearest integer? 2111 What is 1494453 to the power of 1/2, to the nearest integer? 1222 What is 2799077 to the power of 1/2, to the nearest integer? 1673 What is 20457215 to the power of 1/3, to the nearest integer? 273 What is 5546890 to the power of 1/2, to the nearest integer? 2355 What is the cube root of 14775850 to the nearest integer? 245 What is the fifth root of 120701 to the nearest integer? 10 What is the cube root of 2870330 to the nearest integer? 142 What is 2095438 to the power of 1/2, to the nearest integer? 1448 What is 5307746 to the power of 1/2, to the nearest integer? 2304 What is the square root of 25586428 to the nearest integer? 5058 What is the square root of 210676 to the nearest integer? 459 What is 2410348 to the power of 1/7, to the nearest integer? 8 What is 6610576 to the power of 1/4, to the nearest integer? 51 What is the cube root of 14351091 to the nearest integer? 243 What is the square root of 2075081 to the nearest integer? 1441 What is 16620380 to the power of 1/2, to the nearest integer? 4077 What is 3248989 to the power of 1/8, to the nearest integer? 7 What is 281627 to the power of 1/5, to the nearest integer? 12 What is the cube root of 1622079 to the nearest integer? 117 What is the sixth root of 14311822 to the nearest integer? 16 What is the cube root of 37373 to the nearest integer? 33 What is the fifth root of 570385 to the nearest integer? 14 What is the fifth root of 219104 to the nearest integer? 12 What is 19454445 to the power of 1/2, to the nearest integer? 4411 What is the square root of 19803578 to the nearest integer? 4450 W
{ "pile_set_name": "DM Mathematics" }
2 a Let i = -202 + 225.8. Let m = -23.5 + i. Let v = 0.11 - 0.23. What is the closest to v in m, 3/2, 5? m Let i be (45080/525)/92 + (4/6)/(-2). Which is the closest to 1? (a) 43 (b) 2/7 (c) i (d) -0.04 c Let f = 4/955 + 1842/16235. What is the closest to 1/3 in 0.3, f, 58, -2/3? 0.3 Let l = -20.47 - -20.77. What is the closest to -50 in l, -0.2, 5, 4? -0.2 Let p = -134.3 + 134.38. Which is the closest to p? (a) -0.1 (b) 3 (c) 5 (d) 0.4 a Let f = -2651/7 - -2648/7. Let l = -0.2 + -1.8. What is the nearest to 2.2 in -5, f, l? f Let m = -6 + 2. Let k = -1.226 - -1.246. Which is the closest to -2/11? (a) m (b) 5/2 (c) k c Let z = -2.1323 + -0.0677. Which is the nearest to -0.29? (a) -0.1 (b) z (c) 0 a Let y = 14921/4 + -3732. Which is the nearest to y? (a) -5 (b) -4 (c) -0.1 (d) 6/11 c Let f = 267 - -185. Let v = f + -449. Which is the nearest to -1? (a) v (b) 4 (c) -4 c Suppose -5*g + 2*l - 36 = 0, -2*l = -5*g + l - 39. Let v be 0/(((-9)/(-6))/((-3)/g)). What is the closest to v in 3, 2, -0.04? -0.04 Let m = 0 + 0.3. Let z = 401.0686 - 401. Let w = z + 2.9314. Which is the closest to m? (a) w (b) -0.6 (c) -3/8 c Let d = -42 + 41.9. Which is the closest to d? (a) 1 (b) 123/4 (c) 0.3 c Let l be 1622/714 + 20/35. Let z = 54/17 - l. Which is the nearest to -1? (a) 0.2 (b) -4 (c) z a Suppose 21 = 3*c - 7*c - 3*f, -17 = 3*c + f. Let t be c - (-1755)/275 - (-4)/(-22). What is the nearest to t in 1/5, 0.5, -0.02? 1/5 Let p = -171 + 168. Let h = -0.63 + 55.63. Let t = h + -51. What is the closest to t in p, 1, 5/3? 5/3 Let w = 4663/39 - 1550/13. What is the nearest to 1/4 in -0.546, w, 1? w Let s = 14.1 - 12.1. Let i be 9/(-108) + 1/4. Suppose 0 = -z + 4 - 5. Which is the closest to -0.1? (a) z (b) i (c) s b Let q = -56 - -278/5. Let z = -40.8 - -24. Let v = z + 16.7. Which is the closest to v? (a) -2/3 (b) q (c) 3/4 b Let i = 93.4079 - 0.3579. Let r = i + -93. Let t = 1.1 + -1. Which is the nearest to -2/7? (a) r (b) 0 (c) t b Let i be (-33)/27 + (-2)/(-2). Let w = -132 + 365. Let s = 232 - w. Which is the nearest to s? (a) -0.3 (b) i (c) 4 a Let k = -1.37 - -1.47. Suppose 34*i + 100 = 14*i. Which is the nearest to -2/3? (a) k (b) -0.9 (c) -3 (d) i b Let l(v) = -3*v**2 - 56*v - 36. Let r be l(-18). Suppose r = -23*i + 7*i. What is the closest to -4 in i, -5, -1/2, 2/7? -5 Let x = -3655 - -3655.77. Let s = -4.684 + -0.086. Let j = s + x. Which is the closest to 0.2? (a) 0.4 (b) j (c) -5 a Let x = 31/5 - 227/35. Let g = -140332 - -140335. Which is the closest to -1? (a) 8 (b) -1 (c) g (d) x b Suppose 5*p - 607 = 4*n, -4*n = -3*p + 24 + 345. Suppose -p*x + 123*x = -4. Let v = 47.7 + -48. Which is the closest to x? (a) v (b) 2/7 (c) 6/13 a Let c = -80/57 + 14/19. Let j = -0.122 + 7.822. Let v = -7.5 + j. What is the closest to c in v, -5, -1/3? -1/3 Suppose 0 = -2*p - 0*p. Let z = -251 - -253. Let k be 32/15 - (0 + p + z). Which is the closest to -1/2? (a) 0.2 (b) 0 (c) k b Let t be (0 - 98/(-63))/(3430/735). Let d = 13 - 18. Suppose 5*l + 10 = -0*l. What is the closest to t in l, d, 1? 1 Let q = -37.16 + 30.16. What is the nearest to -2 in -1, q, 2/9? -1 Let o = 14021 + -14013. What is the nearest to 1/3 in -4, 2, o? 2 Let j = -33.8775 + -0.0225. Let g = 38.9 + j. Which is the nearest to g? (a) 0.2 (b) -0.3 (c) 0.5 c Let u be 5/7*(1/6)/((-15)/(-24)). Which is the closest to -0.1? (a) 4/3 (b) u (c) -3/7 (d) 1 b Suppose 0 = -3*r - 4*s + 13, 4*r - s + 24 = 4*s. Let f = -0.01288 - 0.98712. Which is the nearest to r? (a) 2 (b) 0.1 (c) f c Let g be (55/(-10) - (-5 - -2)) + 4. Which is the nearest to -8/11? (a) 0.3 (b) g (c) -6/5 c Let m be 10/(-24) - (-2)/3. Suppose 13*t = 2*t - 22. Let v be -3 + 3 + 2 - (-10)/t. What is the nearest to m in -2, 6/11, v? 6/11 Let k = 1199/1589 + -74/227. Which is the closest to 0.3? (a) k (b) -8/7 (c) -4 a Let h = -1.119 - -2.119. Let q = 0.3 + -1.2. Let j = -5.9 - q. What is the closest to -1/3 in h, 0.5, j? 0.5 Let v = 6 - -78. Suppose s + v = -5*n + 254, 34 = n - 3*s. Let h = n + -33. What is the closest to h in -3, 1/3, -1/9? 1/3 Let v = -0.5088 + 0.3088. Which is the nearest to 1/17? (a) v (b) -2/11 (c) -2/7 b Let d = -2032 + 2031. What is the nearest to d in 0.5, 2/17, 1, -1.9? -1.9 Let k(m) = 305*m - 1826. Let r be k(6). Let h = 1.7 + -1.5. Which is the closest to r? (a) -3 (b) 5 (c) h b Let x = -2002 + 1998. Let t = 1 + -0.6. What is the nearest to -6 in t, x, -3? x Let r be -1 + ((-14)/(-12) - 0). Let n = 1277 - 1277.0827. Let q = n + 0.2827. Which is the nearest to -9? (a) -3/4 (b) q (c) r a Let z = -119/9 - -13. Which is the closest to -0.2? (a) 7 (b) 0.07 (c) -2 (d) z d Let g be (-2)/(-8)*(2 - 0). Let s = 190.74 + -188. Let t = -2.34 + s. Which is the closest to g? (a) t (b) 4/5 (c) -0.1 a Let n be -3*30/4*(-110)/495. Let k be (-16)/(-8) + 10/6. Which is the closest to k? (a) -4 (b) n (c) -3 b Suppose -5*d + 19 = -w, -234*d - 15 = -231*d - 5*w. Which is the nearest to -0.1? (a) -289 (b) d (c) -4 c Let m = -0.17 - -0.1. Let y = -1.93 + m. Let v = -0.3154 + -0.0846. Which is the nearest to y? (a) -0.3 (b) -1/2 (c) v b Let s = -516 + 516.2. Which is the closest to -2/19? (a) s (b) 0 (c) -0.4 (d) 2/9 b Let i = 787/12065 - 8/635. Which is the nearest to -1/4? (a) 1/3 (b) 8 (c) i c Let r = 0.05442 + 3.94558. Which is the closest to -494? (a) 3 (b) r (c) 1 c Let s be (-18)/((-324)/(-15))*(-3)/(-4). Let a = -240.9 + 255. Let x = -14 + a. What is the nearest to x in -2/7, 5, s? -2/7 Let q = -2 - 2. Let r = 38.65 - 43. Let g = r + -0.65. What is the nearest to -2/7 in q, g, 3? 3 Let j be (-10)/(-30) - 2/6. Suppose -4*u - 11 + 19 = j. Let y be u + (-33)/18 + (-3)/(-6). What is the closest to y in -4, 2, 0.5? 0.5 Let g = 106 - 62. Let x(w) = 66*w + 11712. Let k be x(-178). Let r be g/(-36) + (-2 - 80/k). What is the closest to r in 1, -17, 0? 0 Let q = 0.38 + -0.08. Let k = 0.1 - -2.9. Let d = -578177/5 - -115635. Which is the closest to d? (a) q (b) 1 (c) k a Let n be (2/(-7))/(2/(-4)) - (-1748)/(-3990). Which is the nearest to -1? (a) 4 (b) -0.2 (c) -110/3 (d) n b Let q = 46079 + -46077. What is the nearest to 2 in -1/2, -34, q, -1? q Let s = -33 - -40. Let u be (-38)/16 + -5 + s. Let x be 6/6*(-2)/12. Which is the closest to u? (a) x (b) 4 (c) 1/4 a Let t = 3443 + -3749.17. Let k = t - -306. Which is the closest to 0? (a) -5 (b) k (c) 4 b Let c(o) = -1149*o - 469945. Let w be c(-409). Let i = 0.2 - 0.1. Let q = -2.5 - -0.5. What is the nearest to 0.4 in i, q, w? i Let r = 25.097 + -25.397. Let y = -1/97 - 286/485. What is the closest to r in y, 6, -0.2? -0.2 Let x = -0.03135 + 3.03135. What is the nearest to 1/4 in 0.1, 73, x? 0.1 Let j = -20.2 - -19.2. Let i = 0.87 - 0.07. Let k = -0.2 - i. What is the closest to j in -4, k, 0? k Let i(m) = 6*m - 33. Let w(u) = 7*u - 32. Let l(h) = 5*i(h) - 4*w(h). Let s be l(20). Let j = -23 + 20. Which is the nearest to j? (a) -0.2 (b) s (c) 12 a Let z = -261.43 + 260. Let d = z - -0.43. Let l be (-2)/6*6/(-19). Which is the closest to -2/7? (a) 1 (b) l (c) d b Let t(f) = -112*f + 484. Let l be t(4). Which is the closest to 5? (a) -0.1 (b) l (c) -1 a Let t be 10/(-4)*(0 - -2). Let h = 13.17114 + -13.17114. Which is the nearest to h? (a) -0.8 (b) -2 (c) t (d) -3 a Suppose 2*r - 4*p = 2, 0*p + 5*p - 11 = -2*r. Which is the closest to 0? (a) -0.1 (b) r (c) 1.11 a Let x be -2*(-6 + 94/16). Let n = 96 - 482/5. Which is the nearest to x? (a) n (b) -1/6 (c) 1/10 c Let h = 15 - 25. Let s = -517 + 516.931. Let z = -0.231 + s. What is the closest to 0 in -3, h, z? z Let x = -0.52503 - -0.02503. What is the closest to -2/5 in -0.09, 1, x? x Let m = 1.9 - -0.1. Let j be 12/(-8) - 9/2. Let u be (j/(-28))/(((-18)/(-8))/(-3)). What is the closest to 1/3 in m, u, -2? u Let g = 7 + -4. Let j = -0.03 + 0. Which is the nearest to j? (a) -1 (b) 4 (c) g a Let s = 960/13 - 74. Suppose -5*g - 16 = b - 6, 0 = -g - 4*b - 2. Let z be 8/((-96)/(-18))*20/(-6). What is the closest to g in s, -1/5, z? -1/5 Let w(r) = 3*r**3 + 31*r**2 + 29*r - 66. Let v be w(-9). Let n = 4/3 - 2. Which is the closest to -2/5? (a) v (b) 0 (c) -2 (d) n d Let z = -101 + 223. Let l = -1721.
{ "pile_set_name": "DM Mathematics" }
g + 14. What is the units digit of n? 0 Suppose -7 = o - 3*v - 36, o = -4*v + 1. Suppose o*b - 110 = 12*b. What is the tens digit of b? 2 Let d = 5344 - 3143. What is the units digit of d? 1 Suppose -14 + 4 = 5*d. Let f(r) = 48*r**2 + 2*r + 4. Let g be f(d). Suppose g = 9*i - 3*i. What is the units digit of i? 2 Let m = 35 + -31. Suppose -f + 244 = 3*f + 4*i, -m*i - 110 = -2*f. What is the tens digit of f? 5 Let b(v) = -v**3 + 13*v**2 - 7*v - 11. What is the units digit of b(9)? 0 Suppose 4*x = 5 + 7. Suppose -5*m + 8*m + x = 0. What is the tens digit of (m - -2)/((-2)/(-34))? 1 What is the units digit of 0 - (-208)/(-3)*-12? 2 Let j(g) = 3*g - g + 2*g + 277*g**2 + 4. What is the units digit of j(-1)? 7 Suppose 0 = 3*t, 0 = -3*d + 2*t - 6*t + 1206. What is the units digit of d? 2 Suppose -4*q = -4*l - 60, 0 = -2*l + 3*q + 2*q - 39. What is the tens digit of (318/l)/((-3)/6)? 5 Let i(x) = 2*x**2 - 65*x - 246. What is the tens digit of i(60)? 5 What is the hundreds digit of (446/(-5) - -2)/(26/(-65))? 2 Let c be (3 - 0)*(-20)/(-30). Suppose -5*p - 5*p = -6*p. Suppose 3*u + 5*b = 2*b + 15, p = 5*u + c*b - 34. What is the units digit of u? 8 Let o = 11 - 8. What is the units digit of (-580)/(-30)*o/2? 9 Let n = -156 + 241. Suppose -171 = -2*s + n. What is the units digit of s? 8 Suppose 0 = -b + 1, 23 = 5*o - 2*b - 0*b. Suppose -13*w - o = -14*w. Suppose 5*s = w*i + 310, -4*s - 4*i + 4 = -244. What is the units digit of s? 2 Let l = 50 - 51. What is the units digit of (l - 1) + 68 - -1? 7 Let x(m) = -27*m**3 - 6*m**2 - 11*m - 30. What is the thousands digit of x(-4)? 1 Let c be 1*(-4 + 5)/1. What is the tens digit of (-38 - 15)*c*-1? 5 Let p be ((-4)/(-8))/((-2)/(-336)). Suppose -8*h - p = -12*h. What is the tens digit of h? 2 Suppose -47*t + 3*t + 145816 = 0. What is the thousands digit of t? 3 Let s = 11 - 9. What is the tens digit of s + 71 + (0 - 4)? 6 Let i(j) = 2*j**2 - 2*j + 2. Let y be i(10). Suppose -7*d + 4*d = -12. Suppose 4*r + y = 5*f + 42, 112 = d*f + 4*r. What is the units digit of f? 8 Suppose -4 = -2*q - 0. Let n = -4 + q. What is the units digit of 2 + -3 + n + 5? 2 Let l be (-429)/(-22) - (-1)/(-2). Suppose i - l = -3*q, 0*q - 3*q = 3*i - 27. What is the units digit of q? 5 Suppose -4*g + 1155 = -u, g + u - 282 = -u. Suppose 0 = -4*x - 4*y + g, -4*x + 318 = -y - y. What is the tens digit of x? 7 Suppose 2*v = -3*v - 140. Let d be (0 - 7)*8/v. Suppose g + 4*b = -1 + 17, 0 = d*g - b - 32. What is the tens digit of g? 1 Suppose -q + 55 = 4*q. Suppose -q*j - 24 = -178. What is the units digit of j? 4 What is the hundreds digit of (-831520)/40*(-3)/12? 1 Suppose -5*r - 2*u + 789 = 0, 0*r - 2*r - 4*u + 322 = 0. What is the units digit of r? 7 Suppose -3*j + 80 = 2*j. Suppose -6*p = -j - 2. Suppose 5*o - b - 4*b = 130, p*b - 9 = 0. What is the units digit of o? 9 Suppose 5*n - 3 = 4*h - 3*h, -1 = -n. Suppose -t = h*t - 18. Let c(z) = z**3 - 4*z**2 - 7*z + 4. What is the tens digit of c(t)? 3 Let u(s) = s**2 - 15*s + 12. Let z be u(14). Let q = 15 + z. What is the tens digit of q? 1 Suppose 10*v = -30 - 0. What is the tens digit of (2 + v - -75)*1? 7 Let r be (3/(-2) + 2)*2. Suppose 3*b + 12 = -y - r, 3*y = -2*b - 18. What is the units digit of y/(-1)*12/6? 8 Let j = 3706 - 397. What is the hundreds digit of j? 3 Let z = -530 + 899. Let o = 630 - z. What is the tens digit of o? 6 Suppose -4*a - 10*m + 13*m + 5799 = 0, 0 = -5*a + 2*m + 7247. What is the tens digit of a? 4 Let b(o) be the second derivative of o**4/12 + o**3/2 + 8*o**2 + 11*o. Let i be b(-6). Suppose 30*w + 100 = i*w. What is the tens digit of w? 2 Let q(s) = 3*s**2 + 8*s. Let a be (-11)/4 - 24/(-32) - -7. What is the hundreds digit of q(a)? 1 Let b be (-704)/(-1) - (-11 - -9). Suppose 4*f = 3*q - 542, -8*q + 4*q + b = -2*f. What is the tens digit of q? 7 Let k(h) = h**3 + 26*h**2 - 10*h - 41. What is the tens digit of k(-26)? 1 Let f be (-1)/(-4) + (-2)/8. Suppose f*z + 3*z = 0. Suppose -5*y + 3*p + 161 = z, 0 = 3*y - 3*p - 36 - 57. What is the tens digit of y? 3 Let g = 4 - -1. Suppose 0 = -2*s - 4*w + 124, -5*s = g*w + 21 - 336. Let l = -41 + s. What is the tens digit of l? 2 Let k = 160 + -248. Let o = 20 - k. What is the units digit of o? 8 Suppose 3*j - 12 + 6 = 0. Suppose x - 3*x = -10. Suppose -120 = -5*w + 2*f, j*w - x*w = 2*f - 88. What is the tens digit of w? 2 Let n(w) = 178*w. Let h be n(1). Suppose 3*a = 5*k + 8 - h, 2*k = 4*a + 54. Let c = k + -9. What is the tens digit of c? 2 Suppose 7*x - 2*x - 25 = 0. Suppose 0 = 3*o - 6*m + m - 166, 3*m - 220 = -x*o. What is the tens digit of o? 4 Suppose 5*r - 1725 = 52*j - 57*j, 0 = 3*j - r - 1047. What is the hundreds digit of j? 3 Suppose 131 = b + 33. Let w = b + -55. What is the tens digit of w? 4 Let y(p) = -38*p - 723. What is the units digit of y(-74)? 9 Let p(a) = -658*a**3 + a**2 + 2*a + 2. What is the tens digit of p(-1)? 5 Let y = 2 + 251. Let p = 369 - y. What is the units digit of p? 6 Let l(w) = -w**3 + 14*w**2 - 11*w - 26. Let t be l(13). Suppose d - 6 = -d. Suppose -d*x + 51 = -t*x. What is the units digit of x? 7 Suppose -3*l = -4*y + 480, 0*l + 2*l = -2*y + 240. Suppose y = 7*q - 4*q. Suppose h = -m + 4*h + q, 0 = -m - 4*h + 54. What is the units digit of m? 6 Suppose 2*p - 329 - 217 = 0. What is the tens digit of p? 7 Let j be ((-2163)/7)/(9/12). Let z = j - -630. What is the units digit of z? 8 Let t(i) = -9*i + 81. What is the units digit of t(-14)? 7 Let h(m) = 2*m**2 + 4*m + 4. Let w(t) = t - 12. Let u be w(4). What is the tens digit of h(u)? 0 Let g be 3*3*(-2)/9. What is the tens digit of ((-8)/12)/(g/63)? 2 Suppose 376*y - 1362 = 375*y. What is the hundreds digit of y? 3 Let a(u) = 2*u**2 - 23*u - 16. Let j be a(13). Let t = 7 + -4. Suppose -t = 2*g - j. What is the units digit of g? 0 Let d(z) = -57*z - 116. What is the hundreds digit of d(-22)? 1 Let b = 506 + -456. What is the units digit of b? 0 Suppose 0 = -16*h + 20*h - 1956. What is the hundreds digit of h? 4 What is the tens digit of 18/(-9)*(-360 + 2 + -4)? 2 Suppose -55*t = -33*t - 27346. What is the thousands digit of t? 1 Let m(l) = 6*l - 15. Let a be m(6). Let u = 43 - a. What is the units digit of u? 2 Let t = 534 + -148. Suppose -9*p - t = -1466. What is the tens digit of p? 2 Let z be (-6)/(-10)*5 - 9. What is the units digit of (-4 + z)*-3 + -3? 7 Suppose -5*j + 475 = 5*d, -d - 2*d = -j - 301. Suppose -d = 7*q - 659. What is the units digit of q? 0 Let o = 1180 + -447. Suppose 5*a - o = -4*l, -3*a + 3*l = -0*l - 429. What is the units digit of a? 5 Let c(r) = -2 + 0 + 2 + 91*r**2. Let x be c(-1). Suppose -p = -t + 24, t + p = -3*t + x. What is the tens digit of t? 2 Let y = 1935 - 587. What is the tens digit of y? 4 Let n(i) = i - 6. Let x be n(8). Suppose -x*c - 2 = -c. What is the units digit of c - (18 + 3)/(-3)? 5 Let o(m) = -m**3 - 12*m**2 - 15*m - 11. Let k be o(-11). Let w = 90 - k. What is the tens digit of w? 5 Let c = 3 + -1. Suppose 3*j - 9 = m, 2*j + m - 7 = c*m. What is the tens digit of 23*(j + (3 - 4))? 2 Suppose 16*z - 10*z = 1830. What is the tens digit of z? 0 Let a = 26 + 395. What is the hundreds digit of a? 4 Let h(l) = l + 2. Let t be h(4). Suppose 3*r = t*r - 60. Let o = r + -10. What is the tens digit of o? 1 Suppose -3 - 3 = r. Let q = r - -16. What is the units digit of -2*(-3 - -1 - q)? 4 Suppose k + l = 2*l + 2, 3*k - 5*l - 4 = 0. Suppose 4*i + 72 = -g + k*g, -5*g + 169 = i. What is the units digit of g? 4 Suppose 5*z + p - 2270 = 0, -p = -z + 2*z - 458. Suppose -5*d = -2*d - z. Suppose f + 4*f + 2*a = d, -2*f - 2*a = -64. What is the units digit of f? 9 Suppose -g + 6*g = 4*h - 7, -g - 2 = -h. Suppose -143 = 5*s + 4*x - 868, -h*s - 4*x + 443 = 0. What is the units digit of s? 1 Let q(x) be the third derivative of x**7/420 - x**6/360 + x**5/30 + 5*x**2. Let f(m) be the third derivative of q(m). What is the units digit of f(3)? 4 Let h(z) = 2790*z**2 - 87*z + 88. What is the hundreds digit of h(1)? 7 Let i = -13 + 12. Let f(t) = 3 + t - 2 - 1 + 35*t**2. What is the units digit of f(i)? 4 Let v(q) = q**3 - 7*q**2 - 7*q - 6. Let o be v(8). Let k(p) = -152*p**o + 149*p**2 - 3 + 0 + 2*p + 3*p**3. What is the units digit of k(2)? 3 Let m(g) = -11*g + 2. Let h(n) = -n + 1. Let u(d) = -3*h(d) + m(d).
{ "pile_set_name": "DM Mathematics" }
, -42, -46, -50? -54 What is next in -2029, -2031, -2033, -2035, -2037, -2039? -2041 What is next in -105, -98, -89, -78? -65 What is the next term in 33, 7, -37, -99? -179 What comes next: -106, -97, -88, -79, -70, -61? -52 What comes next: 297, 589, 893, 1215, 1561, 1937, 2349, 2803? 3305 What is next in 401, 802, 1201, 1598, 1993? 2386 What is next in 240, 228, 194, 126, 12, -160, -402? -726 What comes next: 272, 261, 238, 197, 132, 37, -94, -267? -488 What comes next: 88, 180, 272, 364, 456, 548? 640 What is the next term in 60, 267, 616, 1107, 1740, 2515? 3432 What is the next term in 221, 224, 227? 230 What is the next term in -26, -50, -112, -230, -422, -706? -1100 What is next in -40, -114, -186, -256, -324, -390? -454 What is the next term in 7, 9, 7, 1, -9, -23, -41? -63 What is the next term in 15, 43, 83, 129, 175? 215 What is the next term in 50, 45, 30, -1, -54, -135? -250 What is next in 3468, 3464, 3460, 3456? 3452 What comes next: -1590, -3172, -4754? -6336 What is next in 83, 81, 79, 77? 75 What is next in 563, 1118, 1663, 2192, 2699? 3178 What is next in -10, 9, 28? 47 What is the next term in 619, 611, 597, 577? 551 What is the next term in -131, -139, -149, -161, -175, -191, -209? -229 What comes next: 15613, 15615, 15619, 15625, 15633, 15643, 15655? 15669 What is next in -2349, -2349, -2339, -2313, -2265, -2189? -2079 What is next in -11, -11, 13, 73, 181, 349? 589 What is next in -54, -66, -94, -144, -222, -334? -486 What is next in -398, -795, -1214, -1667, -2166, -2723, -3350? -4059 What is next in -107, -220, -331, -440, -547, -652, -755? -856 What comes next: 9, 34, 69, 120, 193, 294? 429 What is next in -120, -118, -116? -114 What is the next term in 16, 35, 62, 97, 140, 191, 250? 317 What is next in 139, 95, 51? 7 What is the next term in 101, 99, 95, 89? 81 What is the next term in 347, 387, 427, 467, 507, 547? 587 What comes next: -451, -453, -465, -493, -543, -621, -733, -885? -1083 What is the next term in 198, 383, 566, 747? 926 What is the next term in -2528, -2536, -2552, -2582, -2632? -2708 What comes next: -821, -1635, -2443, -3245? -4041 What is next in 1237, 1243, 1253, 1267, 1285? 1307 What is the next term in 37, 74, 119, 166, 209, 242, 259? 254 What comes next: 32, 86, 150, 230, 332? 462 What is the next term in 39, 2, -73, -192, -361? -586 What is next in -2, -144, -516, -1232, -2406? -4152 What comes next: -5, -20, -59, -134, -257, -440, -695? -1034 What is next in 222, 182, 142, 102, 62, 22? -18 What is the next term in -14268, -14271, -14276, -14283, -14292, -14303? -14316 What is the next term in -117, -230, -323, -390, -425, -422, -375? -278 What is the next term in 87, 169, 251, 333, 415, 497? 579 What comes next: 4356, 8719, 13082, 17445, 21808? 26171 What is next in 14, 44, 94, 164, 254, 364, 494? 644 What is next in 297, 594, 891, 1188? 1485 What is the next term in 648, 1281, 1900, 2499, 3072, 3613, 4116? 4575 What is the next term in -114, -106, -92, -72, -46, -14, 24? 68 What is next in -104, -205, -306, -407? -508 What is next in 2095, 4205, 6313, 8419, 10523? 12625 What is next in 11, 22, 33, 44, 55, 66? 77 What is next in -25, 54, 133, 212, 291, 370? 449 What is next in -157, -316, -475, -634? -793 What is the next term in -161, -113, -55, 19, 115, 239? 397 What is the next term in 164, 163, 162, 161, 160, 159? 158 What is the next term in 792, 798, 808, 822, 840, 862? 888 What is next in -389, -386, -381, -374, -365, -354? -341 What is next in 175, 323, 445, 529, 563, 535, 433? 245 What is the next term in 62, 51, 40, 29, 18? 7 What is the next term in 197, 287, 375, 461? 545 What is the next term in 149, 51, -45, -139, -231? -321 What is next in 126, 138, 152, 168? 186 What is the next term in -85, -101, -133, -187, -269, -385? -541 What is the next term in -106, -397, -890, -1591, -2506, -3641, -5002, -6595? -8426 What comes next: -164, -215, -278, -359, -464, -599? -770 What comes next: 53, 216, 487, 866, 1353? 1948 What comes next: 17, -20, -57? -94 What is the next term in 167, 674, 1519, 2702, 4223, 6082, 8279? 10814 What is the next term in 481, 959, 1437? 1915 What comes next: -19, -34, -51, -70, -91? -114 What is next in 70, 189, 306, 421, 534, 645? 754 What is next in 31, 31, 29, 25, 19, 11, 1? -11 What is the next term in 51, 212, 487, 876, 1379? 1996 What comes next: -310, -287, -248, -187, -98, 25, 188, 397? 658 What is next in -13, -29, -47, -67, -89, -113, -139? -167 What is next in -33, -56, -59, -30, 43, 172, 369, 646? 1015 What is the next term in 6478, 6483, 6488, 6493, 6498, 6503? 6508 What is the next term in -1584, -1585, -1596, -1623, -1672, -1749? -1860 What comes next: -8, 2, 34, 94, 188, 322, 502? 734 What comes next: 5, 24, 57, 110, 189, 300? 449 What comes next: 1129, 1129, 1119, 1093, 1045, 969, 859? 709 What is next in -2253, -2247, -2237, -2223, -2205, -2183, -2157? -2127 What is next in 27, -1, -37, -87, -157? -253 What is the next term in -28, -88, -192, -346, -556? -828 What comes next: -14, -5, 16, 55, 118, 211? 340 What is the next term in -326, -325, -324, -323? -322 What is next in -15, -53, -85, -105, -107? -85 What comes next: -38, -31, -22, -11, 2, 17? 34 What is next in 11, 21, 33, 47? 63 What is next in 5, 21, 37, 53, 69? 85 What comes next: -37, -6, 83, 260, 555? 998 What is next in -33, -48, -89, -162, -273, -428? -633 What is the next term in -18, -51, -106, -183, -282? -403 What comes next: -708, -1418, -2128, -2838, -3548? -4258 What is the next term in 25, 82, 179, 316, 493, 710? 967 What is the next term in -171, -170, -169, -168, -167? -166 What is the next term in -38, -33, -38, -59, -102, -173, -278, -423? -614 What is the next term in -1232, -2453, -3660, -4847, -6008, -7137, -8228, -9275? -10272 What is next in -92, -73, -54? -35 What comes next: 186, 370, 554, 738? 922 What is the next term in -278, -557, -834, -1109, -1382, -1653? -1922 What comes next: 11, 28, 47, 68? 91 What is next in 3, -1, -5? -9 What comes next: -26490, -26492, -26494? -26496 What is next in -41, -174, -395, -704, -1101, -1586? -2159 What is the next term in 130, 537, 1210, 2143, 3330, 4765? 6442 What comes next: -4008, -3997, -3972, -3927, -3856, -3753? -3612 What comes next: -14, -105, -280, -539, -882? -1309 What is the next term in 1284, 5182, 11686, 20802, 32536? 46894 What is the next term in 65, 131, 199, 269, 341, 415? 491 What comes next: 17360, 34719, 52078, 69437, 86796, 104155? 121514 What comes next: -76, -82, -88, -94, -100, -106? -112 What is next in -2459, -4919, -7379, -9839, -12299, -14759? -17219 What is the next term in 19, 24, 19, -2, -45? -116 What is the next term in 26, 86, 186, 332, 530, 786? 1106 What comes next: 122, 470, 1048, 1856, 2894? 4162 What comes next: -1980, -15814, -53362, -126480, -247024, -426850? -677814 What is the next term in -40, -46, -38, -10, 44, 130, 254? 422 What is the next term in 10, 9, -4, -35, -90, -175, -296, -459? -670 What comes next: 1, -23, -71, -155, -287, -479? -743 What comes next: -42, -70, -98? -126 What comes next: -1230, -2461, -3692? -4923 What is the next term in -5148, -10300, -15454, -20610, -25768, -30928? -36090 What comes next: 418, 828, 1238, 1648, 2058? 2468 What is the next term in -2548, -2547, -2546, -2545? -2544 What is next in 384, 740, 1084, 1410, 1712, 1984, 2220? 2414 What is next in 1, -23, -55, -89, -119, -139, -143? -125 What is next in -27, -32, -37, -42, -47? -52 What is the next term in 10235, 20472, 30709, 40946, 51183, 61420? 71657 What comes next: -28, 14, 90, 206, 368, 582, 854? 1190 What comes next: -752, -755, -762, -773, -788, -807, -830? -857 What is the next term in 1, -12, -29, -50, -75, -104? -137 What is the next term in -11, 8, 27, 46? 65 What comes next: 575, 592, 619, 656? 703 What is next in 2289, 2287, 2285? 2283 What comes next: 35, 67, 87, 89, 67, 15? -73 What is the next term in 49, 98, 147? 196 What is the next term in 11980, 11984, 11990, 11998? 12008 What is next in -113, -115, -119, -125, -133, -143, -155? -169 What is the next term in 40, 24, -14, -80, -180, -320, -506, -744? -1040 What is next in 896, 1793, 2694, 3599, 4508, 5421? 6338 What is the next term in -112, -47, 62, 215, 412? 653 What is the next term in 2638, 5276, 7914, 10552,
{ "pile_set_name": "DM Mathematics" }
(c) -2 (d) 2/17 b Let f(u) = -u + 17. Let r be f(0). Let s = 21 - r. Let k be (s - 12)/(-1 + 3). Which is the second biggest value? (a) -2 (b) 7 (c) k a Let q = 21.5 + -21.45. Which is the third biggest value? (a) -0.05 (b) -1 (c) q b Let n = 1 - 1. Let t = 0.09 - -1.91. Let d = -181.1 - -181. What is the third biggest value in t, n, d? d Suppose -37 = 5*m - 2*s + s, -4*m - 2*s - 38 = 0. Let p = m - -3. Let r = 2.0159 + -0.0159. What is the second smallest value in r, p, -0.3? -0.3 Let q be 2 + 4/((-196)/105). Which is the second smallest value? (a) -14.6 (b) q (c) -2 c Suppose -5*y + 49 = -4*g, 5*g + 5 + 30 = y. Let v be 11/(-6) - 9/g. Which is the biggest value? (a) 0.1 (b) 0.2 (c) v b Suppose 5*h - 199 = 51. Suppose 5*p + h = 15. Which is the second smallest value? (a) -1/10 (b) 1 (c) -0.3 (d) p c Let f = -1049 - -1049.1. What is the biggest value in -20, f, -1? f Let f = 1.4534 + -1.1534. Suppose 2*w = -w - 3*p + 12, p - 10 = 5*w. What is the third biggest value in w, 1.7, f? w Let q = -19.962 - -24.962. Suppose 5*b = -8 - 17. What is the second smallest value in 0.2, b, 0, q? 0 Let p(i) = -5*i**2 + 11*i + 10. Let w be p(-4). Let r = w - -117. Which is the third biggest value? (a) -1/4 (b) r (c) -2 c Let k = 264 + -263.5. What is the third biggest value in -5, k, -0.6? -5 Let z = 96.3 + -110. Let d = z - -12.9. Which is the second biggest value? (a) 1/8 (b) d (c) -4 b Let f(k) = k**3 - 5*k**2 - 25*k + 10. Let a be f(8). What is the fourth biggest value in a, -7, -0.4, -5/2? -7 Let i = -95 - -124. Let y = 36 - i. Let b be ((-1)/(-3))/(4/(-6)). What is the second smallest value in b, y, -2/3? b Let l = 743 - 746. Which is the biggest value? (a) l (b) -22 (c) -0.1 c Let d be (-45)/(-54)*(10 + -4). What is the third smallest value in -4.3, d, -2, -1? -1 Suppose 4*m - t - t = 12, 2*m - 6 = -2*t. Let y = 106.8 - 106.6. Which is the third smallest value? (a) -0.5 (b) m (c) y b Let t = 89 + -170. Let q = t + 81.4. Which is the second smallest value? (a) q (b) -4 (c) 5 (d) 2 a Let x = -1.8159 + -0.1841. Let p = 3/17 - 63/68. What is the third biggest value in 3/5, p, x? x Let l = -1 - 2. Let v = 348 - 345. What is the second biggest value in l, v, 4? v Let w = -0.108 + 0.048. Let n = -2.1 - 2.9. What is the smallest value in 0.5, 4, w, n? n Let i = 15 - 15.01. Let r = i - 0.09. Which is the third biggest value? (a) 5/2 (b) r (c) 1 b Let m = 7 - 9. Let s(h) = -32*h - 12. Let b be s(-8). Let z be -4 - (-1 + b/(-84)). What is the second smallest value in z, -4, m? m Let t = -0.5 - 5.5. Let z = -10 - t. Suppose 25 = -3*j + 8*j. Which is the second biggest value? (a) z (b) 3/5 (c) j b Let s(p) = p**3 + 10*p**2 + 17*p + 4. Let h be s(-8). Suppose -i - 4*i = 15. Which is the second smallest value? (a) -0.5 (b) h (c) i c Let n be 646/119 + 12/(-3) + -1. Let i be 0 - 2/4*-2. Which is the third biggest value? (a) -0.1 (b) 1/5 (c) n (d) i b Let c = 8.1 + -7.1. Let z = 0 + -2. Let x be (-108)/(-57) - (-4)/z. What is the third biggest value in c, x, -5? -5 Let q = -0.091 - 0.509. What is the smallest value in 1/13, -2, q? -2 Let l = -3709/20 + 981/5. Which is the smallest value? (a) -0.03 (b) 0.1 (c) l a Let i(h) = h + 12. Let c be i(-6). Let w be ((-15)/(-10))/(c/(-8)). Let x = 1.9 + -0.9. What is the third biggest value in w, x, 0? w Let k = 107 + -103. Let q = 6 - 4. Let n = 2.4 - q. What is the second biggest value in n, -0.05, k? n Let x = 0.1 + 0.4. Suppose -v = 4*j + 156, 2*j - 4*v + 72 = -3*v. Let w = 267/7 + j. What is the third smallest value in -2, w, x? x Let y = 100 - 49. Let n = 49 - y. What is the biggest value in n, -4, 1? 1 Let q = -1562 - -1554.09. Let u = -0.09 + q. Which is the biggest value? (a) 0.1 (b) -3/8 (c) u a Let j = -0.043 - -25.043. Let s = j + -26. Let t = 3/5 - 11/10. What is the second smallest value in s, 0.5, t? t Let w be 0/((-7 - -9)*(-2)/4). Let q = -64.3 + 64. What is the second biggest value in 5, w, 1/2, q? 1/2 Let o = 12 + -11.6. Suppose 15*u - 17*u = 0. What is the biggest value in u, -3, o? o Let s = -1756.13 - -1756. Which is the fourth smallest value? (a) -0.3 (b) s (c) 1 (d) -2/3 c Let p be 0/2 - (-3 + 4). Let w(z) = z**3 + 2*z**2 + z + 2. Let q be w(-2). Let d = 25.8 + -22.8. Which is the second smallest value? (a) p (b) q (c) d b Let a be (-10)/(-6) - (-4)/(-6). Let j = 0.4 + -0.9. What is the third biggest value in -4, -1/4, j, a? j Let n = 21.8 + -21.3. Which is the biggest value? (a) 4/5 (b) 2/15 (c) n (d) 4 d Let l = -30 + 25. Which is the third smallest value? (a) -4 (b) l (c) 3/2 (d) 1 d Let i = -1.294 - -0.994. Which is the third biggest value? (a) -3/5 (b) i (c) 27 a Let m be (0 - (-2 + 3))*0/(-50). What is the smallest value in 1/3, 9, 1, m? m Let k = -3.4 + 7.4. Let y = -0.8 - -1.1. What is the smallest value in k, y, -25? -25 Let v = -18 + 2. Let d = v + 16.45. Let p = d + -0.05. What is the second biggest value in 5, 3, p? 3 Let g = -107 + -12. Let u = -116 - g. Let j = 4 + -4.3. What is the second biggest value in 0.3, j, u? 0.3 Let l = 24/17 - 127/102. What is the biggest value in 0.1, 0.11, l? l Let s = -26 + 20. Let d be 4/s*(-15 - 3). Suppose 6*k = 9*k + d. Which is the second smallest value? (a) -1 (b) k (c) 1/3 a Let l = 1082.3 + -1082. What is the fourth smallest value in -3, l, 10, -2? 10 Let f = -2 + -10. Let t = 82/7 + f. Which is the biggest value? (a) -4 (b) -1/2 (c) t c Suppose -2*h = -5*j + 154, 3*j + 2*h = -h + 84. Let w be 3/15 - (-9)/j. Let l = -1.2 + 0.8. Which is the second smallest value? (a) w (b) 0.2 (c) l b Let z = -12 + 2. Let j = z + -1. Let k = j + 15. Which is the third biggest value? (a) 2 (b) k (c) 1 c Let f = -1.33 - -48.73. Let q = -47 + f. What is the third biggest value in -5, -4, q, -0.1? -4 Let u = 20 - 23. Let i be (u - -1)/((-39)/(-3)). What is the third biggest value in -0.4, -1.7, i, 1? -0.4 Let x = 4 + -0.5. Let s = 0.5 + x. Let h = 22 + -155/7. What is the third smallest value in h, 0, s? s Let y = -0.0065 + 0.0665. What is the second biggest value in -0.4, 5/4, y? y Let i = 16 + -77. Let q = i + 60.9. Which is the second smallest value? (a) 4 (b) -0.5 (c) q (d) -1 b Let r = -713 + 721. Which is the fourth smallest value? (a) 2 (b) 5/4 (c) r (d) 1.5 c Let y = 2353 + -9201/4. Let j = 53 - y. Let v = 13/93 + 6/31. Which is the second biggest value? (a) j (b) v (c) -1/14 a Let v be ((-6)/21)/((-3)/(-21)). Let m = -0.04 + -0.02. What is the third biggest value in v, m, -1? v Let q = -910 - -6373/7. Let l = 1.92 - -0.08. Which is the fourth biggest value? (a) -3/8 (b) l (c) q (d) -0.12 a Let g = -33.1 + 33. Let j = g + -2.9. What is the third smallest value in -4, 3, 1, j? 1 Let p = 5/177 - -269/3009. What is the third biggest value in 2/23, -4, p? -4 Let m = 43 + -93. Let v = m + 50.1. What is the second smallest value in v, -0.4, -0.2? -0.2 Let d = -415 - -411. What is the smallest value in 0.02, d, 1/10? d Suppose 2*x = 3*x. Let v = 1130 - 1203.3. Let y = 73 + v. What is the second biggest value in x, y, -1? y Let w = 5.89 - -0.11. Let t = -896 - -895.9. Which is the fourth biggest value? (a) 0.5 (b) 3/7 (c) w (d) t d Let n be (8/(-14))/(5/(-5)). Suppose -10*m - 3 = -23. Suppose 0 = -3*o - 4*p - 16, -2*o - 8 = m*p + 2. What is the second smallest value in 4, o, n? n Let l = -378492 - -5672717/15. Let t = 311 + l. Which is the fourth biggest value? (a) -2/7 (b) -3 (c) 0 (d) t b Let d be 36/(-72)*(-4)/(-10). Which is the second smallest value? (a) -7 (b) -1/6 (c) d c Let a be ((-56)/(-20) + -2)*-5*12/(-48). Suppose -124 = 5*j - l - 26, -j - 5*l - 30 = 0. What is the smallest value in a, j, 2/5? j Let d = -30 - -33. Let i = 124 + -124.2. What is the smallest value in 0.092, i, d? i Let x be 16/5 - (0 + 3). Suppose 0 = 3*a + n - 0*n + 28, 4*a = -4*n - 48. Let q be a/80*(-10)/8. What is the third smallest value in x, q, -3? x Let u = -135 + 129.96. Let c = -0.04 - u. Let i = 1 - 6. What is the biggest value in i, 1, c? c Let u = 13318/15 - 888. Which is the second biggest value? (a) -0.4 (b) 209 (c) u c Let p = 0.017 - -20.983. Let l = -10 + p. Let i = l + -7. What is the biggest value in 0.3, i, -0.5? i Let t = 15.29 + -0.29. Let p = t + 2. Let n = -1
{ "pile_set_name": "DM Mathematics" }
nutes before 8:41 AM? 1:55 AM What is 690 minutes before 9:34 PM? 10:04 AM How many minutes are there between 10:41 PM and 12:23 AM? 102 How many minutes are there between 1:22 AM and 11:39 AM? 617 How many minutes are there between 5:13 AM and 9:37 AM? 264 What is 538 minutes after 6:53 AM? 3:51 PM How many minutes are there between 3:03 PM and 5:28 PM? 145 What is 48 minutes after 10:00 PM? 10:48 PM What is 367 minutes before 1:54 AM? 7:47 PM What is 628 minutes after 4:43 AM? 3:11 PM How many minutes are there between 5:02 PM and 7:10 PM? 128 How many minutes are there between 11:34 PM and 11:29 AM? 715 What is 502 minutes before 4:06 AM? 7:44 PM How many minutes are there between 10:17 AM and 10:36 AM? 19 What is 89 minutes before 12:25 AM? 10:56 PM What is 317 minutes before 8:02 PM? 2:45 PM How many minutes are there between 4:29 AM and 10:35 AM? 366 How many minutes are there between 1:31 PM and 9:31 PM? 480 How many minutes are there between 8:08 PM and 1:36 AM? 328 What is 535 minutes before 6:43 AM? 9:48 PM What is 175 minutes after 1:16 PM? 4:11 PM What is 322 minutes after 3:02 AM? 8:24 AM What is 283 minutes before 9:41 PM? 4:58 PM What is 305 minutes before 6:28 PM? 1:23 PM How many minutes are there between 12:39 PM and 5:09 PM? 270 What is 528 minutes before 4:25 AM? 7:37 PM What is 473 minutes before 5:35 AM? 9:42 PM How many minutes are there between 11:12 PM and 3:26 AM? 254 How many minutes are there between 2:59 PM and 4:10 PM? 71 How many minutes are there between 7:56 AM and 10:47 AM? 171 How many minutes are there between 10:41 AM and 10:24 PM? 703 What is 493 minutes before 12:57 PM? 4:44 AM How many minutes are there between 3:39 PM and 10:25 PM? 406 What is 33 minutes before 12:12 PM? 11:39 AM How many minutes are there between 10:27 AM and 7:11 PM? 524 How many minutes are there between 9:14 PM and 12:01 AM? 167 What is 667 minutes after 2:43 PM? 1:50 AM What is 39 minutes before 1:34 AM? 12:55 AM What is 110 minutes after 12:24 PM? 2:14 PM What is 400 minutes after 10:45 PM? 5:25 AM How many minutes are there between 5:38 PM and 5:50 PM? 12 How many minutes are there between 8:42 PM and 6:30 AM? 588 What is 44 minutes after 8:54 PM? 9:38 PM How many minutes are there between 2:57 AM and 7:07 AM? 250 How many minutes are there between 10:22 AM and 11:39 AM? 77 What is 705 minutes before 6:52 AM? 7:07 PM How many minutes are there between 2:31 AM and 1:58 PM? 687 What is 618 minutes after 11:11 PM? 9:29 AM How many minutes are there between 4:04 AM and 6:51 AM? 167 What is 588 minutes before 2:27 PM? 4:39 AM What is 467 minutes after 6:34 AM? 2:21 PM How many minutes are there between 11:59 AM and 9:42 PM? 583 How many minutes are there between 5:04 AM and 3:11 PM? 607 What is 428 minutes after 12:49 PM? 7:57 PM How many minutes are there between 4:15 AM and 7:06 AM? 171 What is 71 minutes before 10:56 PM? 9:45 PM What is 355 minutes before 12:03 AM? 6:08 PM What is 295 minutes after 9:49 PM? 2:44 AM How many minutes are there between 9:44 AM and 9:17 PM? 693 How many minutes are there between 8:19 AM and 4:44 PM? 505 How many minutes are there between 3:00 PM and 2:48 AM? 708 How many minutes are there between 8:31 AM and 3:17 PM? 406 What is 657 minutes after 5:05 PM? 4:02 AM What is 444 minutes after 9:25 AM? 4:49 PM What is 91 minutes before 8:23 AM? 6:52 AM What is 344 minutes before 12:49 PM? 7:05 AM How many minutes are there between 5:41 PM and 1:31 AM? 470 What is 184 minutes after 7:42 AM? 10:46 AM What is 418 minutes after 8:20 AM? 3:18 PM What is 211 minutes after 1:05 PM? 4:36 PM How many minutes are there between 8:48 PM and 2:11 AM? 323 How many minutes are there between 1:27 AM and 11:16 AM? 589 What is 337 minutes before 1:52 AM? 8:15 PM What is 292 minutes after 4:52 AM? 9:44 AM How many minutes are there between 3:02 AM and 9:09 AM? 367 What is 332 minutes before 11:41 AM? 6:09 AM How many minutes are there between 8:01 AM and 10:35 AM? 154 What is 589 minutes before 9:50 AM? 12:01 AM How many minutes are there between 7:04 PM and 9:26 PM? 142 What is 274 minutes after 1:01 AM? 5:35 AM What is 186 minutes after 11:03 PM? 2:09 AM How many minutes are there between 2:18 AM and 9:51 AM? 453 How many minutes are there between 12:58 PM and 12:53 AM? 715 How many minutes are there between 2:51 AM and 10:14 AM? 443 How many minutes are there between 1:52 AM and 2:03 AM? 11 How many minutes are there between 8:59 AM and 4:32 PM? 453 What is 27 minutes after 10:25 AM? 10:52 AM What is 443 minutes after 9:26 PM? 4:49 AM How many minutes are there between 7:33 AM and 6:49 PM? 676 What is 408 minutes after 11:52 PM? 6:40 AM What is 414 minutes before 9:48 AM? 2:54 AM How many minutes are there between 11:47 PM and 12:06 AM? 19 What is 366 minutes after 2:33 PM? 8:39 PM What is 142 minutes before 1:22 PM? 11:00 AM What is 592 minutes before 11:10 PM? 1:18 PM How many minutes are there between 3:55 AM and 12:54 PM? 539 What is 160 minutes before 12:23 PM? 9:43 AM What is 142 minutes after 12:22 PM? 2:44 PM How many minutes are there between 8:52 PM and 5:47 AM? 535 How many minutes are there between 6:47 PM and 7:07 PM? 20 How many minutes are there between 12:32 AM and 8:40 AM? 488 How many minutes are there between 3:27 AM and 10:11 AM? 404 What is 240 minutes before 1:50 AM? 9:50 PM What is 160 minutes after 3:07 AM? 5:47 AM What is 616 minutes after 3:12 AM? 1:28 PM How many minutes are there between 4:19 PM and 7:15 PM? 176 What is 517 minutes after 12:02 AM? 8:39 AM What is 556 minutes after 9:10 PM? 6:26 AM What is 682 minutes after 4:51 PM? 4:13 AM What is 186 minutes after 5:57 AM? 9:03 AM What is 292 minutes after 7:52 PM? 12:44 AM How many minutes are there between 2:57 PM and 8:57 PM? 360 How many minutes are there between 10:06 AM and 12:16 PM? 130 How many minutes are there between 4:17 AM and 6:17 AM? 120 How many minutes are there between 4:41 AM and 9:59 AM? 318 How many minutes are there between 11:50 PM and 5:18 AM? 328 How many minutes are there between 6:00 PM and 6:25 PM? 25 What is 63 minutes before 3:16 PM? 2:13 PM What is 328 minutes before 4:49 AM? 11:21 PM How many minutes are there between 5:29 PM and 12:11 AM? 402 How many minutes are there between 5:19 PM and 4:19 AM? 660 How many minutes are there between 2:56 PM and 1:01 AM? 605 What is 663 minutes after 2:24 AM? 1:27 PM How many minutes are there between 6:37 PM and 10:49 PM? 252 What is 485 minutes after 9:01 AM? 5:06 PM What is 468 minutes after 6:20 PM? 2:08 AM How many minutes are there between 5:29 AM and 5:06 PM? 697 What is 77 minutes before 11:23 AM? 10:06 AM How many minutes are there between 1:15 PM and 6:06 PM? 291 How many minutes are there between 3:09 PM and 3:51 PM? 42 What is 202 minutes after 2:14 PM? 5:36 PM What is 675 minutes after 3:09 AM? 2:24 PM What is 526 minutes before 11:44 AM? 2:58 AM What is 328 minutes after 9:55 PM? 3:23 AM What is 532 minutes before 3:03 PM? 6:11 AM How many minutes are there between 5:16 AM and 11:22 AM? 366 What is 501 minutes after 6:11 AM? 2:32 PM What is 703 minutes after 2:45 PM? 2:28 AM What is 14 minutes after 6:43 PM? 6:57 PM What is 609 minutes before 1:46 PM? 3:37 AM How many minutes are there between 11:17 AM and 10:20 PM? 663 What is 145 minutes after 7:23 PM? 9:48 PM How many minutes are there between 10:23 AM and 3:12 PM? 289 What is 599 minutes after 5:17 PM? 3:16 AM What is 110 minutes after 7:13 PM? 9:03 PM How many minutes are there between 5:52 AM and 5:34 PM? 702 How many minutes are there between 5:43 AM and 7:24 AM? 101 How many minutes are there between 1:18 AM and 10:46 AM? 568 What is 549 minutes before 9:15 PM? 12:06 PM How many minutes are there between 6:34 AM and 10:03 AM? 209 How many minutes are there between 9:39 PM and 4:47 AM? 428 What is 582 minutes before 4:12 PM? 6:30 AM What is 394 minutes after 12:53 AM? 7:27 AM How many minutes are there between 6:14 AM and 3:20 PM? 546 What is 402 minutes before 3:55 PM? 9:13 AM What is 88 minutes before 1:41 PM? 12:13 PM What is 152 minutes before 10:57 AM? 8:25 AM What is 172 minutes after 8:59 PM? 11:51 PM What is 67 minutes after 7:03 PM? 8:10 PM What is 681 minutes before 10:57 AM? 11:36 PM How ma
{ "pile_set_name": "DM Mathematics" }
-12) + 38/(-12)*-1. Suppose x + j*i - 25 = 0, 5*x + i - 3*i - 210 = 0. Calculate the remainder when x is divided by 21. 19 Suppose 2*y + 136 = -56. Suppose -3*u - 1133 = -947. Let p = u - y. Calculate the remainder when p is divided by 18. 16 Let t = -537 - -786. What is the remainder when t is divided by 12? 9 Suppose 3*p + 9 = 0, 3*g + 54 = 3*p + 138. Calculate the remainder when (-175)/g*1*-7 is divided by 15. 4 Let b be 44/(-11) - (-8 + 2). Suppose 11 = c + b*w, 65 = 5*c + 3*w + 2*w. What is the remainder when c is divided by 9? 6 Suppose 0 = -2*w + 2*b + 110, b - 51 = -4*w + 3*w. Let k = 65 - w. Calculate the remainder when 23 is divided by k. 11 Let a = 4 + 0. Suppose 29 = 4*d - a*l - 47, 3*d + 3*l - 69 = 0. Suppose 0 = -o + 4*o - 33. What is the remainder when d is divided by o? 10 Let d(p) = p**2 + 2*p - 5. Let f be d(-5). Suppose 5*k = -19 - 1. Let g = f - k. Calculate the remainder when 55 is divided by g. 13 Let d(u) = -11*u + 140. Calculate the remainder when 186 is divided by d(8). 30 Let t = -22 + 31. Calculate the remainder when 35 is divided by t. 8 Let p be (-1)/((1 + 2)/(-15)). Let v = 6 + 1. Suppose -2*q = -o + p*o - 18, -3*q = -4*o - v. What is the remainder when 3 is divided by o? 1 Suppose 0 = -3*d + 36 - 0. Let i = 118 + -122. What is the remainder when 3 + 13 + 9 + i is divided by d? 9 Suppose -78 = -5*s + 2*s. Let n = 82 - -6. What is the remainder when n is divided by s? 10 Suppose -2*g - 8 = 4*s, g = -5*s - 7 - 6. Calculate the remainder when 9 is divided by (192/(-34))/s + 12/102. 1 Suppose 5*l - 3*z = 45, l - 6 - 3 = -z. Let x = 255 - 213. Calculate the remainder when x is divided by l. 6 Suppose -229 = -21*q + 1766. Calculate the remainder when q is divided by 55. 40 Let d(i) = -i + 75. Let s = 0 - 2. What is the remainder when d(19) is divided by 183/12 + s/8? 11 Let w = 305 + -172. Calculate the remainder when w is divided by 70. 63 Let z(f) = -f**2 + 14*f - 2. Calculate the remainder when 59 is divided by z(7). 12 What is the remainder when (-7)/(-98)*7*1458/3 is divided by 63? 54 Let f be 60/25 - 2 - 1154/10. Let a = -101 - f. Calculate the remainder when 48 is divided by a. 6 Let q = 496 + -464. Calculate the remainder when q is divided by 23. 9 Suppose 4*p = -0*p + 744. What is the remainder when p is divided by 43? 14 Let g be 0 - -3*(-10)/15. What is the remainder when g - (-2)/1 - (-444)/6 is divided by 30? 14 Let o = 601 + -436. What is the remainder when o is divided by 40? 5 Let g = 318 + -182. What is the remainder when g is divided by 30? 16 Let l(d) be the third derivative of -d**4/2 - 5*d**3/6 - 9*d**2. What is the remainder when 54 is divided by l(-1)? 5 Suppose 6*j = 3*j + 12. Suppose 3*s + j*a - 27 = 0, -a + 23 = 2*s - 0*s. Calculate the remainder when s is divided by 4. 1 Let z(u) = -u - 7. Let t(a) = a + 2. Let l(f) = -3*t(f) - z(f). Let g be 1 - (2 - 3) - 9. Calculate the remainder when 59 is divided by l(g). 14 Let x(n) = n**3 - 10*n**2 + 13*n - 1. Let k(d) = -d + 10. What is the remainder when x(9) is divided by k(-10)? 15 Suppose -5*z = -5*c - 195, 0 = -5*z + c + 45 + 138. Suppose -6 - z = -y. Calculate the remainder when y is divided by (-2)/4*2*-9. 6 Let a(w) = w**3 + 14*w**2 + 46*w - 10. Suppose 15 = t + 4*z, -3*t = -2*z + 3*z - 78. Calculate the remainder when t is divided by a(-8). 3 Suppose 2*x - 8*x = 0. Suppose 3*o + 2*y - 126 = -3*y, -5*y = x. What is the remainder when o is divided by 11? 9 Let u(r) = -24*r - 70. Calculate the remainder when u(-22) is divided by 51. 50 Calculate the remainder when (-5 + (-20)/(-3))*129 is divided by 8. 7 Let l(n) = n**2 + 17*n + 50. Suppose 73 = -5*q + 3*y - 4*y, -2*y - 41 = 3*q. Calculate the remainder when 98 is divided by l(q). 18 Suppose 15*u - 35 = 13*u - 5*v, -3*u - 4*v = -49. Calculate the remainder when 328 is divided by u. 13 Let o = -92 + 117. Let y(v) be the second derivative of -2*v**5/5 - v**4/12 - 2*v. Calculate the remainder when o is divided by y(-1). 4 Let m(a) = a**3 + 7*a**2 + 6*a. Let j be m(-6). Let q = j - -5. Suppose -2*y + 10 = 5*i - q*y, 4*y = 4*i. What is the remainder when 14 is divided by i? 4 Let q(z) = z**2 - 4*z + 3. Let d = 20 + -34. Let w = 20 + d. What is the remainder when q(w) is divided by 6? 3 Suppose 25*s - 24*s = 43. Let b = 59 + -44. What is the remainder when s is divided by b? 13 Suppose c - 300 = -5*c. Calculate the remainder when 97 is divided by c. 47 Suppose -4*u = -3 - 5. Suppose 0 = u*y + 4*f - 62, 0 = y - 0*f - f - 22. What is the remainder when y is divided by 10? 5 Let g(f) = 58*f + 59. Calculate the remainder when g(5) is divided by 88. 85 Let t(a) = -4*a + 13. Let v be t(0). What is the remainder when 81 is divided by v + 1 + 4/12*0? 11 Let r be (-25 - -24)*(-302)/(-4)*-2. Suppose r - 38 = p. Calculate the remainder when p is divided by 19. 18 Suppose 0 = -z - 9*z + 20. What is the remainder when (5/6*z)/((-17)/(-765)) is divided by (-2 - -1)/(4/(-76))? 18 Suppose 5*d - 3*o + 19 = -11, -o + 30 = -5*d. Let i(f) = -f**3 - 7*f**2 - 8*f - 4. Calculate the remainder when 516/40 - (-7)/70 is divided by i(d). 5 Let q(o) = o**2 + o + 31. Let z = 25 - 23. Calculate the remainder when 124 + 1 - (4 - z) is divided by q(0). 30 Let h = 12 - 7. Let a = h - -5. Suppose -2*t + a = -40. What is the remainder when 47 is divided by t? 22 Suppose -2*v + 3*v = 3. Suppose 3*x - 27 = -v*p, -p - 2*p + x + 27 = 0. What is the remainder when (-2)/8 - (-1781)/52 is divided by p? 7 Let c = 34 - 21. What is the remainder when 69 is divided by c? 4 Suppose -83*x = -62*x - 14679. Calculate the remainder when x is divided by 100. 99 Suppose 3*z + 1188 = 25*z. What is the remainder when 205 is divided by z? 43 Let f be (-1 - -3) + (-5)/((-15)/(-9)). Calculate the remainder when 26 is divided by -27*f/(-6)*-2. 8 Calculate the remainder when 297/4 + (-3 + 0)/12 is divided by 19. 17 Suppose 0 = 296*i - 293*i - 60. What is the remainder when 497 is divided by i? 17 Suppose -60 + 176 = 4*c. What is the remainder when 115 is divided by c? 28 Suppose 83*n - 228 = 45*n. Let l(z) = 3*z**2 + z + 3. Calculate the remainder when l(3) is divided by n. 3 Calculate the remainder when (-9 - -17)/((-2)/(-1))*30 is divided by 42. 36 Suppose 0 = -3*s - 9 + 12. Suppose -3*y - s = p - 17, -5*p = 25. What is the remainder when 27 is divided by y? 6 Let n = -1537 + 1554. Calculate the remainder when 111 is divided by n. 9 Let c(h) = 16*h**2 - 100*h - 580. Calculate the remainder when c(-6) is divided by 25. 21 Suppose 4*t - 7 = r - 16, 15 = 4*r + 5*t. Suppose -2*q + r*q + h - 216 = 0, 77 = q + 2*h. Calculate the remainder when q is divided by 15. 11 Suppose -136 = 7*r - 9*r. Suppose 9 = m + 14, -m + 135 = 4*z. Calculate the remainder when r is divided by z. 33 Let l = 1 - -5. Suppose 4*n = -3*m + 9, -n = 5*m - 4*n + 14. Calculate the remainder when (m - -2) + 1*21 is divided by l. 4 Let j(z) = 19*z**2 - z - 3. What is the remainder when j(2) is divided by 24? 23 Let m be (907 - (-4)/2) + -1. Suppose -21*b = -921 + 228. What is the remainder when 6/21 - m/(-7) is divided by b? 31 Let k(n) = 7*n**3 + 12*n**2 - 17*n - 6. What is the remainder when 1215 is divided by k(2)? 63 Let k(a) = -a**2 - a + 12. Let m be k(-3). What is the remainder when 22 is divided by (-3)/(-2*m/36)? 4 Let c = 14 - -10. Let o = 63 + -60. Suppose -o*h + 42 = -5*g, -3*g - 1 = 3*h - 19. What is the remainder when c is divided by h? 6 Suppose -3*p - i - 21 = 0, -p - 2*i - 12 = -0*p. Let q(y) = -7*y + 22. Let c be q(p). Suppose -n - c = -5*n. What is the remainder when 62 is divided by n? 14 Suppose -5*z = 5*i - 5, 2*z + z - 7 = -4*i. Suppose -12 = -i*r, -104 = -4*a - 3*r + 453. Calculate the remainder when a is divided by 35. 32 Let z(i) = -i**3 + 22*i**2 - 25*i - 26. Calculate the remainder when z(19) is divided by 84. 78 Suppose -z - 3*n = 2*z, 10 = 4*z + 2*n. Suppose 4*b - z*b + 2*p = -14, p + 28 = 4*b. Calculate the remainder when 22 is divided by b. 4 Let u(v) = -5*v + 2. Let g be u(-7). Suppose 2*t + g = -451. Calculate the remainder when (-1)/4 - t/16 is divided by 8. 7 Let g(w) = -8*w - 20. Let o be g(10). Calculate the remainder when 49 is divided by ((-4)/5)/(8/o). 9 Let v(w) = -10*w - 3. Suppose 0 = -2*s + 3*x + 50, 0*s + 5*x + 104 = 4*s. Calculate the remainder w
{ "pile_set_name": "DM Mathematics" }
-1475 Suppose 0 = -2*t + 2*n + 96, 4*n - 84 = -2*t + 3*n. Suppose -41 = 3*z - t. Put -1, -8, z in decreasing order. z, -1, -8 Let q = 21 - 30. Let u be q/6*42/(-9). Suppose -5*d = 3*i - 3, 34 = -d - 3*i + 25. Sort -5, d, u in decreasing order. u, d, -5 Suppose 4*l - 34 = 133*x - 131*x, 4*l - 48 = 4*x. Sort 4, -44, l. -44, 4, l Let i = -25 - 6. Let r = -80 - i. Let a = 47 + r. Sort 1, a, 7, 4. a, 1, 4, 7 Let y = -73.6 - -27.6. Sort -2, y, 10. y, -2, 10 Let f = -12 - -22. Suppose -f = 5*r - c, 0 = 2*r - 2*c + 3 + 1. Suppose 38 = -2*k + 41*m - 44*m, 0 = -5*m - 66 + 16. Sort r, k, -1 in increasing order. k, r, -1 Let o(i) = -i**3 - 15*i**2 - i - 9. Let n be o(-15). Put -2, -5, 45, n in ascending order. -5, -2, n, 45 Let r = -25/9 + 613/225. Let l = 62110 + -62109. Sort r, l, -2 in increasing order. -2, r, l Let x be 6/((5/2)/(5/12)). Put 14, -18, x in decreasing order. 14, x, -18 Let u = 768 - 768.4. Let k = -0.24 - -0.3. Let v = 0.06 - k. Put u, -2/3, 0.03, v in descending order. 0.03, v, u, -2/3 Let s(g) = -g - 48. Let c be s(6). Let j be 2/(-4)*(-9)/(c/24). Sort -4, -1, j, 3 in increasing order. -4, j, -1, 3 Let w = -1/18914 + 4729/9457. Sort 8/7, w, 0.07 in increasing order. 0.07, w, 8/7 Let p = 21834 - 152840/7. Put 217, -0.2, 5, 0, p in descending order. 217, 5, 0, -0.2, p Let y = -6222 + 6221.6. Sort 5, 45, y, 17. y, 5, 17, 45 Let n = 40323/2828 - 6/707. Sort 5, n, -4/5, 0.02 in descending order. n, 5, 0.02, -4/5 Let u = 265 - 794/3. Suppose -o - 12 = -b + 3, -4*o = -5*b + 63. Let f be o/30 + (-14)/(-30). Sort -2/17, u, f in decreasing order. u, f, -2/17 Let r be (-4)/(((-8)/(-14))/((-42)/98)). Sort -5, 175, r, 4 in decreasing order. 175, 4, r, -5 Let r = 17 - 16. Let n(b) = -2*b**3 + 3*b**2 - 29*b + 56. Let w be n(2). Sort r, 9, w. w, r, 9 Let y = 5333 - 31999/6. Sort -0.041, 1/3, -2/13, y, 3 in increasing order. y, -2/13, -0.041, 1/3, 3 Let d = 24701 + -24701.08. Sort 0, d, -1/4, -0.3 in decreasing order. 0, d, -1/4, -0.3 Let r be ((-3)/(-14))/((-1)/(-2)). Let w = 90519 + -4616786/51. Let h = 117/17 + w. Sort h, 3/5, r in decreasing order. h, 3/5, r Let v be 35/100 + (-27)/36. Sort v, 6, -7, 3. -7, v, 3, 6 Let m = 676 + -679. Put 0.4, -14, -1/10, m, -4 in ascending order. -14, -4, m, -1/10, 0.4 Suppose -3*g = 2*v - 26, 38 = 2*v + g - 4*g. Let u(q) = -v + 1079*q - 17*q**2 - 1112*q - q**3 - q**2. Let h be u(-16). Put -11, h, 2, 4 in increasing order. -11, h, 2, 4 Let v = -4.93 - 0.07. Let c = -251 - -243. Let q = v - c. Sort -2/7, -8, q in decreasing order. q, -2/7, -8 Let d = -29/4 - -57/8. Let j = 137906/7 - 19701. Let p be (2/(-4))/(3/2). Put -1, p, d, j in increasing order. -1, p, j, d Let h = -3217 + 3216.9. Put h, -1/1758, 0.3 in decreasing order. 0.3, -1/1758, h Let z(u) = u**3 + 6*u**2 + 7*u - 2. Let y be z(-5). Let a = y + 14. Let m be ((-12)/(-21))/(2/(-14)). Sort a, 3, 1, m. m, 1, a, 3 Let f = -1.818 + 1.518. Sort 3/4, f, 47/3. f, 3/4, 47/3 Suppose -p - 3 = 2*p. Suppose i = -3*i - 3*g + 32, 0 = -4*i - 2*g + 28. Sort i, p, -6 in increasing order. -6, p, i Let n(d) = -d - 19. Let i be n(-10). Let q(a) = -a - 6. Let f be q(i). Suppose c - 1 = 3*y + 15, -5*c + f*y = -32. Put c, 1, 3, -1 in decreasing order. c, 3, 1, -1 Let v be ((-44)/(-264))/(1/(-9))*(4 + -6). Sort 4, -1193, -5, v, 5. -1193, -5, v, 4, 5 Let s = -45911/9 + 5101. Let h be (-1)/55 - (-1)/5. Put h, 2, s in descending order. 2, h, s Let t = 435.6653 + -0.7653. Let b = t - 399. Let l = -36 + b. Put -1/8, 0.5, 38, l in ascending order. -1/8, l, 0.5, 38 Let j = -1.7928 - 0.2072. Let l = -89 - -88.8. Sort -5, j, -17/5, l in descending order. l, j, -17/5, -5 Let x = 0.0832 - -303.9168. Sort x, -5, 2. -5, 2, x Let c(y) = y**3 + 4*y**2 - 8*y - 4. Let m be (10/(-4))/((-1)/(-2)). Let g be c(m). Let w = -8751 + 8749. Sort g, w, -3 in decreasing order. g, w, -3 Let n = 29 + -1. Suppose 24*v = n*v - 16. Suppose v*s - 8*s + 14 = -r, -r + s - 5 = 0. Sort r, 1, -3 in ascending order. -3, r, 1 Let m = 23 - 112/5. Let r be (18 - 2744/154)/(1 - 2). Put -0.4, 0.3, m, r in ascending order. -0.4, r, 0.3, m Suppose 3*n + 1 - 13 = 0. Let u(z) = -z**3 - 52*z**2 - 21*z - 1131. Let o be u(-52). Sort o, n, -4 in ascending order. o, -4, n Let d = 12122.5 - 12122. Put 2/11, 0.4, -1, d, -0.4 in decreasing order. d, 0.4, 2/11, -0.4, -1 Let f = -3.03337 - -0.03337. Let b = -4 + 4. Let v be 21/30 - (-1)/(-2). Sort v, b, f in decreasing order. v, b, f Suppose -d + 37 = 18. Let n = 24 - d. Let f(w) = w**3 - 5*w**2. Let j be f(n). Sort -4, -1, j in descending order. j, -1, -4 Let k be 1/(-2*(-3)/6*5/(-265)). Put k, 0, 1/51 in increasing order. k, 0, 1/51 Let k = 349 - 349.6. Let t = -73 + 73.4. Put k, -1/3, -8, t in decreasing order. t, -1/3, k, -8 Suppose 31586*t - 31587*t = 3. Put 5, 1, 7, 37, t in decreasing order. 37, 7, 5, 1, t Let s = 3599 - 3601. Put 8, s, 5 in descending order. 8, 5, s Suppose -709 + 693 = -f. Suppose -4*t - t - 32 = -4*y, -t - f = -4*y. Sort y, 4, 31, -1 in decreasing order. 31, 4, y, -1 Let v be (-114 - 12)*(-2)/12. Suppose -8 - 6 = -2*y. Suppose 0 = -14*n + y + v. Put -1, 5, 0, n in descending order. 5, n, 0, -1 Let g = -7.814 + 7.914. Let j = 69 + -68. Put 3/2, -0.25, g, j in increasing order. -0.25, g, j, 3/2 Let m(c) = -56*c + 227. Let a be m(4). Sort a, -0.028, 4 in descending order. 4, a, -0.028 Let l = 265/386 + -23/1158. Let a = -0.38 - 0.02. Put 3, l, a, 52 in increasing order. a, l, 3, 52 Let r = -0.09 + 5.09. Let v = -7098 + 7097.89. Sort v, r, -2/11 in descending order. r, v, -2/11 Suppose -166*c - j - 6 = -165*c, 8 = -4*c + 4*j. Suppose 0*z = z + 2. Sort c, z, 2/11 in descending order. 2/11, z, c Let y = 16910 - 16924. Sort 5, y, 37, -1 in ascending order. y, -1, 5, 37 Let w = -0.0258 - -349.0258. Let u = w + -352. Sort u, 1/4, 5, -0.28 in ascending order. u, -0.28, 1/4, 5 Let p = 1 + -1. Let z(g) = -g**2 + 13. Let t be z(-3). Suppose t*n - 1 = 3*c, 2*c = 3*c + 2*n + 7. Sort 0.1, p, c in decreasing order. 0.1, p, c Let u = -1/150 + -97/450. Let m = -0.4927 + 0.7927. Sort m, 5, -0.08, u in increasing order. u, -0.08, m, 5 Let u be (15/9)/(3/9). Suppose -2*m + 1 = u. Let x = 11183 - 11187. Put -3, x, m in descending order. m, -3, x Let r = -797.2 - -796.53. Let w = -24 + 25. Sort w, 3, r in decreasing order. 3, w, r Let b = -196/3 - -67. Let j = -26.44 + -0.36. Let x = -26.9 - j. Sort -4, b, x. -4, x, b Let f be (112 - 113)*(25*-2)/(-1). Sort f, -2/45, 0.3 in decreasing order. 0.3, -2/45, f Suppose 6 + 3 = 3*v. Suppose 4*t - v = 9. Suppose 0 = r - 3*r - 5*a + 28, r + 8 = t*a. Sort -2, 1, r in descending order. r, 1, -2 Let k = -0.43 + 3.43. Let b = 3.4 - k. Let f = -2.21 + 1.21. Put f, -2, b, 2/7 in ascending order. -2, f, 2/7, b Suppose d + d = 16, -59 + 12 = -5*s - 4*d. Suppose 0*m - m - 1 = 0. Let l be m + (-2 + -9)/(-1). Sort l, s, 4. s, 4, l Let h = -1615 + 1626. Suppose -6*b + 6 = -4*b. Sort 4, b, -2, h. -2, b, 4, h Let m be (-6 - -5)*-3*1. Let u = 803 + -573. Let n = 232 - u. Put m, -4, n, -2 in descending order. m, n, -2, -4 Let n(w) = 5*w + 97. Let f be n(-18). Suppose 3 = -2*a + f. Sort 5, 6, a in ascending order. a, 5, 6 Let s = -2487.8 + 2373.8. Sort s, 3, 2.1 in decreasing order. 3, 2.1, s Let z be 6/(-24) - 1/(-4). Let n(t) = t**2 - 276*t + 14281. Let o be n(69). Sort -1, z, o, 3 in decreasing order. 3, z, -1, o Let f(r) be the first derivative of -r**3/3 - 13*r**2/2 - 31*r - 115. Let b be f(-5). Put -2, b, 5, 4 in decreasing order. b, 5, 4, -2 Let b = -0.4 - -0.7. Suppose -5*p + 10 = -95. Suppose p = -5*h + 26. Put h, -1, b, 1/3 in increasing order. -1, b, 1/3, h Let f be 3 - (4*(-7)/42 + (-213)/(-63)). Sort f, 0.3, 1/6, 13 in descending order. 13, 0.3, f, 1/6 Let w be (-10 + 19)/(45/15). Sort 16, 0, w, -5, -2 in decreasing order. 16, w, 0, -2, -5 Let t(g) = -413*g + 823. Let o be t(2). Put o, -4, 0.3, -1, -0.44 in decreasing order. 0.3, -0.44, -1, o, -4 Let j = -1795/3598 + -2/1799. Sort j, -16, 10 in increasing order. -16, j, 10 Let d be (-54)/9*(66/4)/(-3). Suppose -18*i - 3 = d. Sort -1, 5, i in ascending order. i, -1, 5 Suppose 493 = -15*q - 782. Suppose -12 = -4*n - 32. Put -4, q, n in increasing order. q, n, -4 Suppose y - 3 = -p + 2*y, -3*p - 2*y = 11. Let q be 17 + -30 - (-15 + -3). Put q, -8, p in descending order. q, p, -8 Let w = -5470
{ "pile_set_name": "DM Mathematics" }
)/(-415))/(l/(-6))). 83 What are the prime factors of ((-170184)/336)/((-2)/72)? 2, 3, 1013 Let n(p) = 73*p**2 + 40*p + 646. List the prime factors of n(21). 33679 Suppose 20*l = 15*l + 775. Let u = 186 + l. List the prime factors of u. 11, 31 Let s = 18 - 15. Suppose 3*g - 8 = -g + s*v, -4*g + 12 = -2*v. Suppose -566 = -5*l + q, -l + g*q = l - 208. List the prime factors of l. 2, 3, 19 Let f(i) = 287*i**2 - 2*i + 1. Let l be f(1). Suppose 972 = 7*y + l. List the prime factors of y. 2, 7 Let t = -174 - -177. Suppose 3*j + 142 = z, -2*j = -t*z + 284 + 170. What are the prime factors of z? 2, 7, 11 Suppose 5*y - 20847 = -5*z + 4*y, 0 = -3*z + 3*y + 12519. What are the prime factors of z? 2, 3, 5, 139 Let i(c) = -c - 2. Let k be i(-7). Suppose -w = -5*l + 389, -2*l - w - 233 = -k*l. Suppose -2*b + 4*s = -l, -5*b + 5*s = -308 + 93. List the prime factors of b. 47 Let h be ((-5400)/210)/(((-9)/(-14))/(-3)). What are the prime factors of h + (-6)/1 - 4? 2, 5, 11 Let i(m) = 40*m**2 - 144*m + 44. List the prime factors of i(-24). 2, 5, 1327 Suppose 5*t - 2*z = 57578, 2*t - 16709 = 4*z + 6303. What are the prime factors of t? 2, 13, 443 Suppose 0 = y + 169*g - 171*g - 21834, 0 = -3*y + 4*g + 65502. List the prime factors of y. 2, 3, 1213 Suppose 4*q + 2*h = -q + 5592, 3*q - 5*h - 3380 = 0. What are the prime factors of q? 2, 5, 7 Let u(p) = 60*p - 6. Suppose 0 = -5*q - 2*q + 259. Let j = q + -34. What are the prime factors of u(j)? 2, 3, 29 Let s be (-2 - 3 - 15)/(-3 + 1). Suppose 112 = -2*o + s*o. List the prime factors of (-4)/14 - (-74)/o. 5 Let v(r) = 70*r + 2 + 95*r**3 - 89*r**3 - 70*r - 18*r**2. List the prime factors of v(3). 2 Let q be (-1 - 10/(-6))*90. Let f = -51 + q. Suppose 122 = f*m - 7*m. What are the prime factors of m? 61 Let d be (3 + -1)/(4/8). Let k be (6/42 - 0)*0. Suppose -2*o - 4*n = -30, -3*n + k*n = -d*o + 82. List the prime factors of o. 19 Suppose -4*q - 6*q + 283290 = 9*q. List the prime factors of q. 2, 3, 5, 7, 71 List the prime factors of (-3)/(-1)*(-184630)/(-222). 5, 499 Suppose -167*v + 163*v = 3*g - 33064, -5*v = -4*g + 44106. What are the prime factors of g? 2, 13, 53 Let c(q) = 27*q**2 - 26*q - 152. List the prime factors of c(-13). 3, 1583 Let z(w) = 68*w**2 - 51*w - 3. Let o(y) = y**2 + 31*y - 70. Let g be o(-33). List the prime factors of z(g). 1289 List the prime factors of (-20064168)/(-324) - 154/(-99). 2, 7741 Suppose w = -4*h + 91, 5*w - h - 535 = -5*h. Suppose 95 = -w*o + 106*o. Let i = o - -36. What are the prime factors of i? 17 Let j(z) = -2 - 5*z + 94*z**2 - 44*z**2 - 51*z**2. Let r be j(-5). List the prime factors of -1*r/(544/(-274) - -2). 137 Let g(h) = -h**3 - 5*h**2 + 5. Let t be g(-5). Suppose t = 3*n - 19. Suppose 5*x = n*x - 186. What are the prime factors of x? 2, 31 Let q be (-5)/(-2)*(-2 + 60). Let p = 786 + -879. Let j = q + p. List the prime factors of j. 2, 13 Let n = -75 + 68. Let j(u) = -u**2 + 19*u + 17. Let o be j(n). List the prime factors of ((-165)/12)/(o/40 + 4). 2, 5, 11 Suppose 4238 = 30*y - 3562. Suppose y = -15*u + 2690. List the prime factors of u. 2, 3 What are the prime factors of (-12 + 4 + (-357)/(-42))/(1/22836)? 2, 3, 11, 173 Suppose 0*x = x - 12. Let c(b) = b - 3*b - 17 - x - 6*b. List the prime factors of c(-7). 3 Let w(t) = -2*t**2. Let z(f) = -7*f**2 - 2*f - 9. Let v(j) = 3*w(j) - z(j). What are the prime factors of v(7)? 2, 3 Let n = 10471 - 5795. List the prime factors of n. 2, 7, 167 Let g = 187 - 195. What are the prime factors of g/(-10) + 9012/60? 151 Suppose 5900 = 11*n - 4440. Suppose -4*f - n = -5*l + 11, 0 = -3*l - 3*f + 576. What are the prime factors of l? 191 Let h(v) = -v**3 - 36*v**2 - 47*v + 35. Let d(u) = 2*u**3 + 2*u**2 - u - 2. Let t be d(-3). What are the prime factors of h(t)? 5, 7, 13 Let d(y) = 8*y + 210. Let o be d(-26). Suppose 5*v - 7795 = -3*w, o*v - w - 4677 = -v. What are the prime factors of v? 1559 Let j = -51925 + 72712. List the prime factors of j. 3, 13, 41 Suppose 7*n - 89 = -299. Let k(c) = c**2 + 21*c + 64. What are the prime factors of k(n)? 2, 167 Suppose -2*r + 2510 = 3*d - 1642, -2*d + r + 2768 = 0. Let t = 2071 - d. List the prime factors of t. 3, 229 What are the prime factors of 3439156/16*2/14 + (-72)/(-32)? 7, 41, 107 Let x(k) = 7790*k - 1575. List the prime factors of x(6). 3, 5, 3011 What are the prime factors of (-1)/((-4 - -4) + 2/(-25084))? 2, 6271 List the prime factors of (-586)/(-3)*((-90)/75)/((-4)/435). 3, 29, 293 Let c(p) = -p**3 - 55*p**2 - 180*p - 433. What are the prime factors of c(-56)? 3, 4261 Suppose 0 = -15*a + 80*a + 135733 - 972478. List the prime factors of a. 3, 7, 613 Suppose -6851717 = -114*q - 2315315. List the prime factors of q. 13, 3061 Suppose 0*f + 829437 = 42*f - 1692621. List the prime factors of f. 11, 53, 103 Let g be -2 - 192/40 - (-2)/(-10). Let x(v) = -2*v**3 - 10*v**2 + 10*v + 15. List the prime factors of x(g). 3, 47 Let w = -2451 + 1355. Let o = w + 2096. List the prime factors of o. 2, 5 Suppose -3*j = 3*n + 3, -5*n = j - 1 - 10. Suppose n*d = 2*q + 1541, d - 3*q - 532 = -6*q. List the prime factors of d. 11, 47 Let m(r) = -236*r**2. Let q be m(-1). Suppose 98 - 2930 = 24*s. Let t = s - q. What are the prime factors of t? 2, 59 Suppose 27*m = 113*m - 2837828. What are the prime factors of m? 2, 7, 2357 Let o(w) = 7*w - 38. Let d be o(7). Let u(i) = -i**2 + 14*i - 29. Let x be u(d). Suppose -6*t + t - c = -927, 5*t - 917 = x*c. What are the prime factors of t? 5, 37 Let i(c) = -c**3 + 7*c**2 - 12*c + 13. Let m be i(11). Let r = m + 325. Let f = -197 - r. List the prime factors of f. 3 Let g be (4 + -3 + -15)*(1 + 3). Let z = -42 - g. List the prime factors of z/3*39/2. 7, 13 Suppose h = 5*o - 101275, -5*h + 81036 = 4*o - 9*h. What are the prime factors of o? 2, 13, 19, 41 Let c(d) = 2151*d + 80. What are the prime factors of c(3)? 47, 139 Let a = 14454 - 6808. List the prime factors of a. 2, 3823 Suppose -20*s = 5*s - 8025. Suppose -g + s - 6 = 0. List the prime factors of g. 3, 5, 7 Let j(s) = s**3 - 7*s**2 - 2*s + 13. Let m be j(7). Let b be (((-1 + 1)/(-3))/m)/1. Suppose 5*k - 2*k - 378 = b. What are the prime factors of k? 2, 3, 7 Let s(o) = -2*o**3 + 4*o**2 + 4*o. Let r be s(-3). Suppose 0 = -5*v - 179 - 121. Let f = v + r. What are the prime factors of f? 2, 3 Let p(f) be the second derivative of -f**5/20 + f**4/12 - f**3/2 + 358*f**2 - 116*f. What are the prime factors of p(0)? 2, 179 Let o(i) = 194*i - 1432. What are the prime factors of o(91)? 2, 8111 Let m = 2072 - -14983. What are the prime factors of m? 3, 5, 379 Suppose 5522*n - 5539*n = -79781. List the prime factors of n. 13, 19 Let i be (1 - -1) + 16 + 1076. Let r be i*(-3 + 0)/(-6). Suppose 2*w + 2*p - 358 = 0, 2*w - r = -w + 2*p. List the prime factors of w. 181 Let w = 7175 - 2803. List the prime factors of w. 2, 1093 List the prime factors of -5 + (-20)/(-140) + (-126144)/(-21). 2, 3001 Let h(l) = l**2 - 5*l - 3. Let p be h(6). Suppose p*t = -5*b - 5, -5*t - 2*b + 23 = 6. Suppose -67 = t*g - 10*g + o, -3*o + 23 = g. List the prime factors of g. 2, 7 Let n be (-3826)/22 + (-3)/33. Let g = n - -634. What are the prime factors of g? 2, 5, 23 Let i(j) = -11*j + 1. Let z(s) = -s. Let w = 26 + -27. Let r(a) = w*i(a) - 6*z(a). List the prime factors of r(1). 2 Suppose k - 4 - 2 = 5*b, 5*k = -4*b - 86. Let s(d) = -d**3 + 4*d**2 + d + 4. Let t be s(4). List the prime factors of ((-52)/t)/(2 + 29/k). 7, 13 Suppose 4 - 8 = -2*l. Suppose -3*w = -2*b - 6*w - 358, -l*b + 3*w = 334. Let a = -87 - b. What are the prime factors of a? 2, 43 Suppose -166*g + 1447388 = -2247274. What are the prime factors of g? 3, 2473 Suppose v = -3*v + 8. Suppose -2*b + 94 = v*s, 0 = -b - 2*s - s + 37. Suppose -5*n + 143 = -b. List the prime factors of n. 3, 13 Let x be 14/(-35)*3*(-20)/6. Suppose -m + 326 = 3*o, x*m = -0*m + 2*o + 1332. Let i = m + -191. List the prime factors of i. 3, 47 Let o = -1359 + 2575. List the prime factors of o. 2, 19 What are the prime factors of 159224/24 - (-33)/9? 2, 3319 Suppose 0 = -2*v + 2*f + 58, 0*f - 5*f + 107 = 4*v. Let n = v - 24. Suppose -10 = 2*w - 3*c - 118, 216 = n*w + c. What are the prime factors of w? 2, 3 What are the prime factors of (-11)/(-88) + 49/(-8) - (-17874)/3? 2, 3, 31 Let z = -49 - -
{ "pile_set_name": "DM Mathematics" }
7, 6115253 What are the prime factors of 1605376057? 23, 3209, 21751 What are the prime factors of 1433807561? 1433807561 What are the prime factors of 5478119649? 3, 608679961 What are the prime factors of 5767045167? 3, 13, 17, 19, 67, 6833 List the prime factors of 193790487. 3, 11, 5872439 What are the prime factors of 171417140? 2, 5, 73, 137, 857 List the prime factors of 15542184. 2, 3, 7, 71, 1303 What are the prime factors of 391241055? 3, 5, 26082737 List the prime factors of 112385032. 2, 1741, 8069 List the prime factors of 300991647. 3, 11, 17, 103, 5209 List the prime factors of 1150901832. 2, 3, 3163, 15161 List the prime factors of 5770820064. 2, 3, 149, 439, 919 List the prime factors of 3581527224. 2, 3, 11, 17, 798023 List the prime factors of 52516832. 2, 947, 1733 List the prime factors of 3285660639. 3, 79, 271, 51157 List the prime factors of 2558748333. 3, 241, 739, 4789 List the prime factors of 1557399151. 7, 11, 29, 697447 What are the prime factors of 450087587? 450087587 What are the prime factors of 1081408691? 11, 3539, 27779 List the prime factors of 1773150469. 13417, 132157 List the prime factors of 85978669. 7, 23, 534029 What are the prime factors of 918172443? 3, 23, 13306847 What are the prime factors of 66949885? 5, 97, 138041 What are the prime factors of 118008598? 2, 29, 43, 47317 List the prime factors of 445614510. 2, 3, 5, 11, 79, 17093 List the prime factors of 216168362. 2, 17, 89, 71437 List the prime factors of 213470153. 13, 23, 54919 What are the prime factors of 1652062378? 2, 79, 83, 263, 479 List the prime factors of 2294783. 2294783 What are the prime factors of 161918005? 5, 43, 79, 9533 List the prime factors of 550934462. 2, 13, 313, 67699 List the prime factors of 640876285. 5, 7, 17, 3727 List the prime factors of 236319122. 2, 13, 699169 What are the prime factors of 73021086? 2, 3, 17, 71, 3361 What are the prime factors of 54074735? 5, 11, 13, 75629 List the prime factors of 390420767. 11, 35492797 What are the prime factors of 122145345? 3, 5, 7, 387763 What are the prime factors of 45616281? 3, 1481, 10267 What are the prime factors of 2266609358? 2, 13, 151, 577333 What are the prime factors of 755276735? 5, 79, 1912093 What are the prime factors of 1693545253? 17, 99620309 List the prime factors of 1022085699. 3, 340695233 List the prime factors of 29595556. 2, 397, 18637 List the prime factors of 240108903. 3, 2887, 9241 List the prime factors of 1044143456. 2, 32629483 List the prime factors of 1053276983. 11, 95752453 What are the prime factors of 6149494239? 3, 7, 37, 113, 70039 List the prime factors of 311665699. 101, 257, 12007 List the prime factors of 270461789. 13, 17, 19, 41, 1571 What are the prime factors of 28537847? 13, 168863 List the prime factors of 43643107. 223, 195709 What are the prime factors of 40710210? 2, 3, 5, 479, 2833 List the prime factors of 181665693. 3, 11, 113, 5413 What are the prime factors of 41891379? 3, 13963793 List the prime factors of 72391813. 13, 71, 107, 733 List the prime factors of 275216443. 47, 1087, 5387 What are the prime factors of 162511790? 2, 5, 7, 23, 193, 523 What are the prime factors of 55017117? 3, 17, 67, 1789 What are the prime factors of 3917807904? 2, 3, 19, 263, 8167 List the prime factors of 539503603. 539503603 List the prime factors of 15368623. 23, 668201 List the prime factors of 5919652575. 3, 5, 193, 136319 What are the prime factors of 5611001929? 13, 17, 19, 1336271 List the prime factors of 136742010. 2, 3, 5, 37, 123191 List the prime factors of 163665679. 163665679 What are the prime factors of 937944405? 3, 5, 19, 83, 13217 List the prime factors of 33480981. 3, 331, 11239 List the prime factors of 4298773421. 29437, 146033 List the prime factors of 854938411. 7297, 117163 List the prime factors of 27237789. 3, 163, 2063 List the prime factors of 2344168589. 7, 59, 71, 79943 List the prime factors of 41585658. 2, 3, 619, 11197 List the prime factors of 4227658031. 293, 14428867 List the prime factors of 473878383. 3, 11, 17, 59, 103, 139 List the prime factors of 1409161786. 2, 523, 1347191 List the prime factors of 413405335. 5, 7, 23, 157, 3271 List the prime factors of 333388508. 2, 31, 2688617 List the prime factors of 107308127. 83, 137, 9437 What are the prime factors of 43372399? 7, 37, 47, 509 What are the prime factors of 1929168689? 7, 97, 281, 10111 List the prime factors of 306243384. 2, 3, 1693, 7537 List the prime factors of 180090686. 2, 1381, 65203 What are the prime factors of 1687635234? 2, 3, 93757513 What are the prime factors of 116843511? 3, 67, 581311 List the prime factors of 6026614084. 2, 113, 13333217 What are the prime factors of 96189307? 37, 47, 55313 What are the prime factors of 809917425? 3, 5, 449, 8017 What are the prime factors of 695492078? 2, 23, 2027, 7459 What are the prime factors of 1989125697? 3, 13, 51003223 List the prime factors of 82367776. 2, 59, 43627 What are the prime factors of 45508711? 17, 73, 36671 List the prime factors of 791471932. 2, 43, 71, 64811 List the prime factors of 153559663. 619, 248077 What are the prime factors of 40213568? 2, 17, 23, 1607 List the prime factors of 179020016. 2, 7, 29, 55117 What are the prime factors of 33081742? 2, 101, 163771 List the prime factors of 524952800. 2, 5, 113, 5807 List the prime factors of 501410713. 501410713 List the prime factors of 229644026. 2, 114822013 List the prime factors of 1164372658. 2, 613, 949733 List the prime factors of 528745371. 3, 7, 11, 29, 78929 What are the prime factors of 220999450? 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2, 41, 179, 71821 What are the prime factors of 3191188023? 3, 4377487 What are the prime factors of 10818671? 23, 43, 10939 What are the prime factors of 7799804979? 3, 2599934993 List the prime factors of 327962169. 3, 61, 107, 1861 List the prime factors of 48152768. 2, 71, 10597 What are the prime factors of 115086929? 115086929 What are the prime factors of 691474809? 3, 19, 31, 491, 797 List the prime factors of 2093227471. 2093227471 What are the prime factors of 107320809? 3, 35773603 List the prime factors of 1750030426. 2, 43, 53, 8929 List the prime factors of 403481003. 6373, 63311 List the prime factors of 72814397. 72814397 What are the prime factors of 501397447? 23, 21799889 What are the prime factors of 22403328? 2, 3, 31, 941 List the prime factors of 338475049. 11, 17, 41, 131, 337 What are the prime factors of 40496893? 40496893 What are the prime factors of 350439424? 2, 137, 1249 List the prime factors of 27531541. 41, 671501 What are the prime factors of 431705855? 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{ "pile_set_name": "DM Mathematics" }
1, 5 Let z(v) = -v**2 + 5*v + 8. Let c be z(6). Let j(x) be the third derivative of -3*x**c - 1/240*x**5 + 0 + 0*x - 1/24*x**3 + 1/48*x**4. Factor j(s). -(s - 1)**2/4 Let n(y) = y**2 - 4*y + 4. Let q(m) = -4*m**2 + 16*m - 16. Let o(u) = 9*n(u) + 2*q(u). Factor o(g). (g - 2)**2 Factor -1/2*s + 1/6*s**3 + 1/3*s**2 + 0. s*(s - 1)*(s + 3)/6 Let k(o) be the third derivative of 0*o**3 - 1/210*o**7 + 1/336*o**8 + 0*o**4 + 0 + 1/60*o**5 - 4*o**2 - 1/120*o**6 + 0*o. Factor k(t). t**2*(t - 1)**2*(t + 1) Let m be ((-4)/6)/(12/(-126)). Suppose -12*a**4 - 31*a**4 + 15*a**4 - 9*a**5 - m*a**5 + 8*a**3 = 0. Calculate a. -2, 0, 1/4 Let f = 15 + -13. Let v be 5/(-15)*(1 - f). What is n in 1/3*n**4 + 1/3*n**3 - v*n - 1/3*n**2 + 0 = 0? -1, 0, 1 Let j(s) be the first derivative of s**5/150 - s**4/15 + 4*s**3/15 + 5*s**2/2 + 6. Let z(w) be the second derivative of j(w). Factor z(a). 2*(a - 2)**2/5 Let f(l) be the first derivative of l**6/30 + l**5/5 + 7*l**2/2 + 3. Let y(n) be the second derivative of f(n). Solve y(h) = 0. -3, 0 Let n(f) be the third derivative of -f**5/150 - f**4/60 + 6*f**2. Solve n(a) = 0 for a. -1, 0 Let j be 24/14 - 28/(-49). Factor 3*l**3 - j*l**2 + 0 - 9/7*l**4 + 4/7*l. -l*(l - 1)*(3*l - 2)**2/7 Suppose 0 = -m + 2*g + 6, -2*m - 2*g - 3*g = 15. Let a(u) be the third derivative of m*u**3 + 1/6*u**5 + 0*u - 1/6*u**4 + 0 - 2*u**2. Factor a(l). 2*l*(5*l - 2) Determine f so that -3 - 47*f + 2*f - 50*f**2 + 5 + 3 = 0. -1, 1/10 Factor 128/3 + 16/3*g + 1/6*g**2. (g + 16)**2/6 Let t(d) be the third derivative of 0*d**3 + 1/360*d**6 + 1/180*d**5 + 0*d + 0*d**4 + 5*d**2 + 0. Solve t(q) = 0. -1, 0 Factor -2/3*g**3 - 32/3*g - 16/3*g**2 + 0. -2*g*(g + 4)**2/3 Let r = -6 + 10. Let i be (8/(-3))/r*-3. Factor -1 + 4*n**3 + 1 + 2*n**i - 4*n - 2. 2*(n - 1)*(n + 1)*(2*n + 1) Let t be (2 + (-36)/8)/(-1 + -4). Let a(b) be the first derivative of 0*b - 1 + 2/3*b**3 + 1/4*b**4 + t*b**2. Factor a(i). i*(i + 1)**2 Let i = 29 + -21. Let s = i + -6. Determine j, given that -4*j**5 - s*j**4 + 3*j**5 - j**3 + 0*j**3 = 0. -1, 0 Let i(q) be the third derivative of q**5/270 + q**4/36 + 2*q**3/27 + 3*q**2. Find v such that i(v) = 0. -2, -1 Let x(m) be the first derivative of -m**5/35 - m**4/28 + m**3/21 + m**2/14 + 20. Factor x(v). -v*(v - 1)*(v + 1)**2/7 Suppose 5*k + 107 = 3*z, -4*z - 5*k = -97 + 1. Let l = z - 86/3. Let 1/3*n + 1/3*n**4 - 1/3*n**2 + 0 - l*n**3 = 0. Calculate n. -1, 0, 1 Let z be (-42)/(-12) + 2/4. Factor 10*m**z - 3*m**4 - 4*m**4 - 2*m**3 - m**3. 3*m**3*(m - 1) Suppose -33 = -3*p + 3*w, -4*w = -p - w + 21. Suppose p*d - d = 0. Solve 6/5*z - 4/5 + d*z**2 - 2/5*z**3 = 0 for z. -2, 1 Let r(k) = 2*k**2 + 3*k + 4. Let n(x) be the third derivative of -x**4/24 - x**2. Let q(f) = 3*n(f) - r(f). Factor q(h). -2*(h + 1)*(h + 2) Suppose -4*q = r - 6 - 4, -6 = -3*q. Factor 1/6*s**3 + 1/6*s**r - 1/6*s - 1/6. (s - 1)*(s + 1)**2/6 Let q(b) = 3*b**4 - 12*b**3 - 20*b**2 - 36*b - 20. Let x(l) = 5*l**4 - 23*l**3 - 41*l**2 - 71*l - 39. Let i(v) = -7*q(v) + 4*x(v). Solve i(z) = 0. -2 Let r be ((-2)/25)/(21/(-10)). Let x(k) be the second derivative of 1/21*k**3 + 1/147*k**7 + 0*k**2 - r*k**6 - 2/21*k**4 + 3/35*k**5 + 0 + k. Factor x(w). 2*w*(w - 1)**4/7 Let f be (-6)/2*80/(-24). Let u be 8/(-6)*(-15)/f. Determine p, given that 3*p**2 + 3 - 2 - 4 + 0*p**u = 0. -1, 1 Let g(y) be the third derivative of 0*y**3 + 1/20*y**5 + 0*y**4 + 3/70*y**7 + 0*y + 0 - 1/112*y**8 - 3*y**2 - 3/40*y**6. Factor g(p). -3*p**2*(p - 1)**3 Let j(o) be the second derivative of 0 + 9/20*o**4 - 7/10*o**3 - 3/5*o**2 - 4*o. Determine a, given that j(a) = 0. -2/9, 1 Suppose -4 = b - 0*l + 2*l, b = 5*l + 10. Factor 0 - 2/3*d**3 + b*d - 2/3*d**2. -2*d**2*(d + 1)/3 Suppose -6 = -4*a - 62. Let i = a + 43/3. Factor -1/3*o + i*o**3 - 1/3*o**2 + 0 + 1/3*o**4. o*(o - 1)*(o + 1)**2/3 Factor 1 - 1/2*v**2 + 1/2*v. -(v - 2)*(v + 1)/2 Let u(t) = t**3 + 2*t**2 - 4*t - 4. Let r be 0/(3*1/3). Let z = -5 + r. Let p(h) = h**3 + 2*h**2 - 5*h - 5. Let x(d) = z*u(d) + 4*p(d). Factor x(q). -q**2*(q + 2) Suppose 2/3*p**3 + 0 - 2/3*p + 0*p**2 = 0. What is p? -1, 0, 1 Factor 1/5 - 13/5*t + 12/5*t**2. (t - 1)*(12*t - 1)/5 Suppose -4*j + 11 = -4*q + 35, 0 = j + 4. Let a(y) be the second derivative of 0 - 1/60*y**6 + 2*y + 1/12*y**3 + 0*y**q + 1/24*y**4 - 1/40*y**5. Solve a(g) = 0. -1, 0, 1 Let y(z) be the second derivative of z**4/4 - 7*z**3/6 - 3*z**2 + 2*z. Factor y(d). (d - 3)*(3*d + 2) Factor -41*w**2 - 16*w**3 + 11783*w - 2*w**4 + 7*w**2 - 11803*w. -2*w*(w + 1)*(w + 2)*(w + 5) Factor -3*d**4 + 16*d**3 + 63*d**4 + 324*d**5 + 84*d**4. 4*d**3*(9*d + 2)**2 Let a(f) = -f**2 - 3*f + 2. Let i(m) = 33 - 22*m**2 + 7*m**2 - 58*m + 10*m. Let l(u) = -33*a(u) + 2*i(u). What is k in l(k) = 0? -1, 0 Let b = -4 + -1. Let n be (-18)/b + (-3)/5. Factor 0*w**2 + 2/3 + 1/3*w**n - w. (w - 1)**2*(w + 2)/3 Let g = -3715487/672 + 5529. Let x(u) be the third derivative of 0*u**5 - g*u**8 + 0*u**3 - 1/210*u**7 + 0*u**4 + 0*u - 1/240*u**6 + 0 - u**2. Factor x(j). -j**3*(j + 1)**2/2 Suppose 0 = 15*x - 17*x. What is i in 0*i + x + 2/5*i**2 + 2/5*i**3 = 0? -1, 0 Let n = -118 + 120. Factor 0*b + 49/5*b**5 + 0 - 28/5*b**4 + 0*b**n + 4/5*b**3. b**3*(7*b - 2)**2/5 Let t(x) = -10*x**3 - 10*x**2 + 5*x + 25. Let w(o) = -11*o**3 - 9*o**2 + 6*o + 26. Let d(b) = -6*t(b) + 5*w(b). Find h, given that d(h) = 0. -2, 1 Let f be 0/(-1) + -1 + 13. Let a(k) = k**2 - 2*k - 2. Let q be a(-4). What is p in f*p**2 - 6*p**5 - 2 - p + 0*p + 3*p - 28*p**3 + q*p**4 = 0? -1/3, 1 Let y(o) be the third derivative of o**7/70 + 3*o**6/40 + o**5/20 - 3*o**4/8 - o**3 + o**2. Find k, given that y(k) = 0. -2, -1, 1 Let w(r) = r**2 + 2*r - 3. Let o = 2 - 0. Let n be w(o). Factor -h**3 - 2*h**5 + h**n - 3*h**4 + 5*h**4. -h**3*(h - 1)**2 Let q be (-2 - -7)*-1*(-3 - -2). Let b(x) be the second derivative of 0 - 1/165*x**6 + 3/110*x**q + 0*x**2 - 3*x - 1/22*x**4 + 1/33*x**3. Factor b(s). -2*s*(s - 1)**3/11 Suppose 0 = 22*j - 10 - 34. Let q(u) be the third derivative of 1/84*u**4 + 1/210*u**5 + 0*u**3 - 4*u**j + 0 + 0*u. Suppose q(v) = 0. Calculate v. -1, 0 Let w = 4 - 10. Let z be (-20)/w*(-6)/(-15). Factor 4/3*m**3 - 2/3 + 0*m**2 + 2/3*m**4 - z*m. 2*(m - 1)*(m + 1)**3/3 Let o(w) be the first derivative of 0*w**3 - 1/90*w**5 + 1/36*w**4 + 0*w + w**2 + 2. Let f(t) be the second derivative of o(t). Determine a so that f(a) = 0. 0, 1 Find x, given that 0*x + 2*x**3 + 0 + 2/3*x**2 = 0. -1/3, 0 Let d(l) be the second derivative of l**4/18 - 8*l. Factor d(g). 2*g**2/3 Suppose -2*i = i - 15. What is a in 5*a**3 + 30*a**4 + 4*a + 38*a**3 + 11*a**i - 4*a**5 + 24*a**2 = 0? -2, -1, -2/7, 0 Suppose 0 = 2*u - 3*p - 4, 3*u + p - 5 = 1. Suppose -4*t + 3*t = -4*q, q - 2*t = 0. Suppose 0 + q*i - 1/3*i**3 - 1/3*i**u = 0. Calculate i. -1, 0 Determine v, given that -2/3*v**3 - 2/9*v**4 - 4/9*v**2 + 0*v + 0 = 0. -2, -1, 0 Let k(c) = -2*c**2 - 1 - 2 + 7*c**3 + 9*c**2 + 2*c - c. Let z(t) = -6*t**3 - 7*t**2 + 2. Let w(y) = -4*k(y) - 6*z(y). Determine v so that w(v) = 0. -2, 0, 1/4 Let a(b) be the first derivative of b**4 - 28*b**3/3 - 17. Let a(t) = 0. What is t? 0, 7 Let a(i) be the first derivative of -i**3/18 + i**2 + 13*i/6 - 34. Let a(w) = 0. What is w? -1, 13 Suppose s + 3*s = 20. Let w be (-2)/(-5) - 2/s. Let 0*o**4 + w*o**5 + o**4 + o**5 = 0. Calculate o. -1, 0 Let w(x) = 5*x**2 - 15*x - 7. Let i(v) = -7*v**2 + 23*v + 10. Let g(q) = 5*i(q) + 8*w(q). Let t(r) = 4*r**2 - 4*r - 5. Let n(m) = -5*g(m) + 6*t(m). Factor n(h). -h*(h - 1) Let k(f) be the third derivative of -f**8/3360 - f**7/630 - f**6/360 + 5*f**4/24 - 6*f**2. Let t(a) be the second derivative of k(a). What is b in t(b) = 0? -1, 0 Suppose -18 - 57 = 5*k. Let x be 4*(k/(-6))/5. Factor 3*t + 0 + 2 - 3*t**2 + x*t. -(t - 2)*(3*t + 1) Let p be (-6)/10 + 40/25. Let f = p + 2. Factor -6*s**2 - 3*s + f*s**4 + s - 5*s**4 - 6*s**3. -2*s*(s + 1)**3 Suppose 3 = 4*a - 9, -5*d = a - 78. Let z = d - 13. Factor 2/9*b**z + 2/9*b**4 + 0 - 4/9*b**3 + 0*b. 2*b**2*(b - 1)**2/9 Let g(k) be the second derivative of k**7/42 + k**6/15 - k**4/6 - k**3/6 - 13*k. Factor g(j). j*(j - 1)*(j + 1)**3 Suppose 2*x - 22*r = -18*r + 12, 4*r + 4 = -2*x. What is k in 2/3 + 2*k**x - 2/3*k**3 - 2*k = 0? 1 Factor 3/2*t + 0 - 3/8*t**2. -3*t*(t - 4)/8 Let c = 37 + -30. Suppose 0 = -2*m + c*m.
{ "pile_set_name": "DM Mathematics" }
-3 Suppose 14*l - 10*l + 5*c - 255 = 0, c = -3*l + 205. Solve b + l - 73 = 0 for b. 3 Suppose 0 = 5*g - 25, -2*g + 45 - 27 = 4*c. Solve m + m = -c for m. -1 Suppose 4*h - 3*t = 465, -4*h + 3*t + 455 = -2*t. Suppose 5*l = 4*n - 110, 0*n + 2*n = 5*l + h. Let b = l + 26. Solve -m + 1 + 0 = b for m. 1 Let s = -9 + 25. Let r = -28 - -28. Solve -4*w + r = -s for w. 4 Suppose -3*w = -4*w - 2, -3*n = -3*w - 24. Let l be (53 + -13)/(-2*(1 - 2)). Solve -l = g - n*g for g. 4 Let k(a) = 2*a**3 + 34*a**2 + 34*a + 34. Let u be k(-16). Solve -w - u = w for w. -1 Suppose 74 = -5*w + 94. Let p be (7 - w) + 4 + -1 + -4. Solve p*j + 25 = 7*j for j. 5 Let o = 11 - 12. Let d(q) be the third derivative of -q**4/24 + q**3/6 + 2*q**2. Let a be d(o). Solve 11 - a = 3*f for f. 3 Let i be -13 + 6 + 11 + 0. Solve i*c + 15 = 7*c for c. 5 Suppose -34 + 39 = v + f, -2*f = -2*v + 6. Suppose 2 = j + 1. Solve j = 3*w + v for w. -1 Let c = -198 - -288. Let m = -90 + c. Solve -4*u + 8 = -m*u for u. 2 Let u(j) = -j**3 - j**2 + 10. Let r be u(0). Let q(d) = -d**3 + 7*d**2 + 7*d + 9. Let m be q(8). Let n be m - 4*(1 - (-3)/(-2)). Solve n*i - r = -2*i for i. 2 Let c be (-5)/2*(0 - 12). Let x be (c/(-35))/(9/(-42)). Suppose -q + x = 2. Solve q*v - 1 = 3*v for v. -1 Suppose h - 5*x + 25 = 4*h, -2*h - 5*x = -15. Solve -5*v = -h*v - 25 for v. -5 Let y(x) = x**3 - 5*x**2 + x - 5. Suppose -15 = -43*m + 40*m. Let z be y(m). Solve z = -2*p + p for p. 0 Let i(c) be the first derivative of -c**4/4 + 4*c**3 - 6*c**2 + 12*c - 96. Suppose 0 = 7*j - 3*j - 44. Let g be i(j). Solve g = -v - 1 for v. -2 Let p(n) = n**3 - 19*n**2 + 33*n + 24. Let s be p(17). Let l = 10 - s. Let g = 8 + -5. Solve 0 = g*r + l for r. -1 Let r = 40 - 21. Suppose -s + 4*c = r, 9*c = 3*s + 4*c + 71. Let f = s + 39. Solve l = -3*l - f for l. -3 Let a be 54/243 + 480/27. Solve -5*x + a = x for x. 3 Let t = 445 - 445. Solve 4*p + t*p = -4 for p. -1 Let a(f) = f**3 + 7*f**2 - 3*f - 17. Let b be a(-7). Suppose -4*t + 8 = -4*h, -t + b*t + 5*h = 6. Solve -3*n + 14 - t = 0 for n. 4 Suppose -2*t = -3*t - 4. Let r = 5 - t. Solve -3*b - r = -0*b for b. -3 Suppose 5*q - 32 - 48 = 0. Suppose -2*w = -4*c + 34, c - 2*c - 2*w + q = 0. Let n be (-35)/c*(-4)/7. Solve -r = r - n for r. 1 Suppose 5*z = -2*o - 19, -10 = -3*o + z + 4. Suppose -3*j = -5*d + 82 - 27, -3*d = 5*j + 1. Suppose d*x + 0*x = 0. Solve -o*g = -x - 9 for g. 3 Let s(a) = 3*a**2 - 38*a - 5. Let x be s(13). Solve -5*f + x = 23 for f. -3 Let r(t) = 7*t**2 - 3*t - 5. Let v be r(-2). Let i be (v - 33)*6/(-8). Solve -2*s + i = s for s. 1 Let d = 166 - 162. Solve d*x + 5 = -3 for x. -2 Let y = -53 + 54. Let o be (2 + 0)/(y/2). Solve 0 = -k - o*k + 20 for k. 4 Let m be (-247)/7 + 8/28. Let g = m - -23. Let c = g + 18. Solve 4*n + c = n for n. -2 Let m = -1 - -5. Suppose -8 = 4*a, -4*f + 26 = -17*a + 16*a. Solve l = -m + f for l. 2 Let s be 62/31*5/2. Solve 2*c - 3*c = -s for c. 5 Suppose -5*b + 29 = 3*y, -5*b = 6*y - 4*y - 26. Let u = -5 + 25. Let v(a) = a**2 - 4*a - 5. Let g be v(5). Solve g = -b*s - s + u for s. 4 Let s(b) = b**3 + 6*b**2 + 3*b + 1. Let r(u) = -u**2 - 2*u + 10. Let k be r(3). Let t be s(k). Solve 3*v = t - 8 for v. 1 Let l(j) = -3*j**2 + 5*j - 4. Let g be l(2). Let i be (-1 - -1)*(-3 + (-15)/g). Solve i = -3*n + 12 + 3 for n. 5 Suppose 4*w + y = -y + 14, -2*y = 3*w - 13. Let p = 5 - w. Suppose s - 6 = -p. Solve 2 = s*i - 0*i for i. 1 Let s(h) = 9*h**3 + 27*h**2 + 20*h - 6. Let q(v) = 4*v**3 + 13*v**2 + 10*v - 3. Let p(j) = -7*q(j) + 3*s(j). Let l be p(-9). Solve -3*t - l = t for t. -3 Let b be ((-12)/8 + 2)*(7 + -1). Suppose b*x - 227 + 221 = 0. Solve 0*f = -x*f + 4 for f. 2 Let v(i) = -2*i**3 - 15*i**2 - 5*i + 16. Let t be v(-7). Solve -l + t = 4 for l. -2 Let o(a) = 4*a**2 - 84*a + 71. Let g be o(24). Solve -g + 367 = 2*s for s. 4 Suppose k - 35 = -3*y, 5*k = y + 3*k - 14. Solve 9*p - y*p = 6 for p. -2 Let o(a) = -a + 16. Suppose -3*r = -2*w + 20, -2*w + 0*w - 4*r + 20 = 0. Let q be o(w). Suppose -k + 1 = -q. Solve k*x = 2*x for x. 0 Let f = 149 + -163. Let l be -1 + (-3 - -2) - -18. Let y = l + f. Solve y*n - 1 = n for n. 1 Let x = 49 - 50. Let a be (x/(-2))/((-1)/(-6)). Solve a*q - 25 = -2*q for q. 5 Let k(o) = 6*o**3 - 2*o**2 - 2*o + 2. Let n = 32 + -30. Let j be k(n). Let r = j - 29. Solve 0 = 4*g - r - 7 for g. 4 Let d(n) = -5*n**2 + 30*n + 2. Let w be d(6). Suppose -3*z - 2*m + 20 = -m, 0 = -w*z + m + 15. Solve -x - z = -2 for x. -5 Suppose -3*x = y - 17, 0 = -5*y - 3 - 2. Solve x*s - 10 = s for s. 2 Let h = -461 + 481. Solve -19*b = -15*b + h for b. -5 Suppose -3*j + 0*j + 75 = 0. Let d be ((-10)/(-6))/(2/6). Let a(l) = -l - 5. Let s be a(-5). Solve -j = d*z - s*z for z. -5 Suppose -18 = -4*q - 3*u + 1, -3*u + 11 = 2*q. Solve 0 = -0*g - q*g - 12 for g. -3 Suppose 5*j = -5*n + 25, 6*n = 4*n - 3*j + 11. Suppose 3*y = -4*d + 10, 3*d - 16 = 2*y - 0*d. Let m = 7 + y. Solve m = -3*c - n for c. -3 Let s(o) be the first derivative of o**3/3 + 6*o**2 + 3*o - 1. Let x be s(-12). Suppose -h = -7 + x. Solve -3*n - 2 = h for n. -2 Let u(o) = -o**3 + 5*o**2 + 6*o - 2. Let q be u(6). Let f be (-4)/(-14) - (-51)/(-7). Let y = q - f. Solve -h + 0 = y for h. -5 Let w = 12 + -10. Suppose -3*y + 2*y - 18 = -4*z, -z - w*y = 0. Suppose 5*f + z*a - 25 - 7 = 0, 42 = 4*f - 5*a. Solve l = -l - f for l. -4 Suppose -5*l = -28 + 3. Suppose -3 - 17 = -l*y. Suppose 0 = 4*t - 27 + 11. Solve 2*s + t = -y for s. -4 Suppose -5*a - 2 = -82. Let l = a - 8. Solve -4 = 3*c + l for c. -4 Suppose -5*z + 295 = -5*y, 4*z - 237 = 4*y - z. Let g = -54 - y. Solve g = -o + 3*o for o. 2 Let c(j) = j**2 - 6*j + 11. Let b be c(6). Solve -4*l + b = -5 for l. 4 Let q be (-6)/(((-21)/4)/(-7)). Let w be (-5)/10*(-4 + q). Solve 3*c - 15 = w*c for c. -5 Suppose 167*y - 4 = 168*y, 0 = x + 4*y + 11. Let r = 18 + -12. Solve x*k = 2*k + r for k. 2 Let g(w) = w**2 + 9*w - 22. Let q be g(2). Solve q*r = -r for r. 0 Suppose 11*j - 46*j = -420. Solve -4*x = -j + 8 for x. 1 Let c = -1893 + 1897. Solve 0 = -6*h + 4 - c for h. 0 Let d(k) = -5*k**2 + 26*k - 4. Let i be d(5). Let o be 6*i/4*(3 + -1). Solve -2*z = o*z for z. 0 Suppose -2*a + a + 3 = 0. Let u be (-3)/6 - a/(-6). Suppose -4 = -3*b + 5. Solve -3 = -u*c - b*c for c. 1 Let z be (-6)/((-1)/(2*3/6)). Suppose -z*d = 3*d + 8*d. Solve -5*h + d = 5 for h. -1 Suppose 0 = -2*c - 4*q - 74, 3*c - c + q + 83 = 0. Let t = c + 48. Let k = -2 - -2. Solve -t*s - 1 - 4 = k for s. -1 Let s = 18 + -15. Let l = 84 - 84. Solve l = s*i - 4*i for i. 0 Let o be 66/12 - 6/(-4). Solve o*m = m + 12 for m. 2 Suppose 8 = 2*y, -4*y = 4*d - 8*d - 4. Solve -27 = 12*v - d*v for v. -3 Let a = 45 - 43. Let g be (-2)/(-4)*(-3 - -7)*a. Solve m - g = -m for m. 2 Let a be (-4)/(-14) + (-480)/(-84). Let w be (-2)/(-4) - a/(-4). Suppose 0 = 4*y - 16, -x - 4*y + 2*y + 16 = 0. Solve 0 = w*h + x for h. -4 Let y(i) = i**3 - 6*i**2 - 8*i + 7. Let o be y(7). Suppose -2 = -3*k + k. Solve -v + k = -o*v for v. 1 Let b be (-64)/(-160) + 2/(-5). Solve b = 2*d + 7 + 3 for d. -5 Suppose -4*w + 36 = -2*w - 3*b, 4*w - 60 = 3*b. Suppose 4*s = -5*r - 55, -3*r + s - 3*s = 31. Let z = r + w. Solve 1 = -4*y + z for y. 1 Let l = -935 + 938. Solve -2 - l = q for q. -5 Let i(q) be the third derivative of q**5/60 - q**4/2 + q**3/3 + 6*q**2. Let b be i(12). Solve -2*z - b*z = -4 for z. 1 Let x = 11 + -9. Suppose -2*p - y + x = -p, 3*y - 3 = 0. Suppose -4*k - 5*v = -17, 2 - 6 = -4*v. Solve 4*d + p + k = 0 for d. -1 Let h(q) = -2*q - 15. Suppose 3*l = 2*r + 6*l + 7, 3*r - 4*l = -36. Let d be h(r). Solve 0 = -c + d + 1 for c. 2 Let o be -5 + (-4 - -136)/4. Solve 1 = -o*j + 27*j for j. -1 Let u be -1 + 18/30 - 66/(-15). Solve -9*r - u = 41 for r. -5 Suppose -x + 2 = 0, -4*s + 4*x + 13 = 9. Solve 0 = -2*b - s*b + 25 for b. 5 Let r = 31 + -31. Solve -v - 1 - 3 = r for v. -4 Suppose -3034*t + 3040*t - 198 = 0. Solve t - 66 = 11*q for q. -3 Let k be (-36)/15*-5*1. Let x be 3/((-2)/15 - (-1)/3). Suppose -4*m + x = 3*r, -2*m = -2*r + 8 + 2. Solve 0 = r*f + 8 + k for f. -4 Let o(c) = -c - 37. Let r be o(-35). Let s(m) = m**3 + 4*m**2 + m - 3. Let g be s(-3). Let a be -7 + g - (-9 - r). Solve j = a*j for j. 0 Let c be (20/(-25))/(10/(-25)). Suppose 0*p = c*p. Solve 0 = -h - p*h - 2 for h. -2 Let k be ((-9)/(-6))/((-27)/(-72)). Su
{ "pile_set_name": "DM Mathematics" }
-30800000 What is 0.0019498886 rounded to 4 dps? 0.0019 Round -2367.2829 to the nearest integer. -2367 Round 13987223 to the nearest one thousand. 13987000 Round -0.00051204516 to 5 dps. -0.00051 What is -0.01671254969 rounded to 6 dps? -0.016713 Round -0.95264697 to 4 decimal places. -0.9526 What is -67332.17 rounded to the nearest 10000? -70000 Round -0.267823902 to one dp. -0.3 What is 454237.23 rounded to the nearest 1000? 454000 What is 22540772.91 rounded to the nearest one hundred thousand? 22500000 What is 0.000013926777 rounded to 7 dps? 0.0000139 What is 0.112505 rounded to 2 dps? 0.11 What is -0.00216475478 rounded to 7 decimal places? -0.0021648 Round -17276.1801 to the nearest one hundred. -17300 Round 611.591335 to the nearest integer. 612 What is -38.34842315 rounded to 2 dps? -38.35 Round 0.18334537 to 4 decimal places. 0.1833 What is 1.146370839 rounded to 0 dps? 1 Round 238616536.2 to the nearest ten thousand. 238620000 Round -0.001999334446 to 4 dps. -0.002 Round -25973.53 to the nearest 10000. -30000 What is -84.110158 rounded to two decimal places? -84.11 Round 0.8693457 to 1 dp. 0.9 Round -28497067670 to the nearest 1000000. -28497000000 Round 3656991643 to the nearest one hundred thousand. 3657000000 Round 0.83155662 to four decimal places. 0.8316 What is 2814800.31 rounded to the nearest one hundred? 2814800 Round -7976947590 to the nearest 1000000. -7977000000 What is 387.2450173 rounded to the nearest 10? 390 Round -3.999017 to zero dps. -4 What is 0.000149658054 rounded to 5 decimal places? 0.00015 What is -2151056.405 rounded to the nearest 10000? -2150000 What is -43780.4204 rounded to the nearest one thousand? -44000 Round 1421391.76 to the nearest 10000. 1420000 Round -2531.26279 to the nearest ten. -2530 Round 0.1521159543 to two decimal places. 0.15 What is -11730.7112 rounded to the nearest 1000? -12000 Round 6.0270101 to 2 dps. 6.03 Round 2434756854 to the nearest 1000000. 2435000000 What is 0.00002285703612 rounded to 7 dps? 0.0000229 Round 0.000136291469 to 7 dps. 0.0001363 What is -206139.79 rounded to the nearest one hundred thousand? -200000 What is 0.0045092879 rounded to 4 dps? 0.0045 What is 0.000650198178 rounded to 4 dps? 0.0007 What is 821834.343 rounded to the nearest ten thousand? 820000 What is -11723.248 rounded to the nearest one thousand? -12000 What is 107.520965 rounded to 2 decimal places? 107.52 What is 188156365.7 rounded to the nearest one thousand? 188156000 What is 5298.6485 rounded to zero dps? 5299 What is -16060887700 rounded to the nearest one million? -16061000000 What is 148.226283 rounded to two decimal places? 148.23 What is -13478514.4 rounded to the nearest 100000? -13500000 What is -916082.3 rounded to the nearest 1000? -916000 Round -0.002385994112 to six dps. -0.002386 What is 60090.40628 rounded to the nearest integer? 60090 What is -144912.5837 rounded to the nearest one hundred? -144900 Round 0.007750771344 to 3 decimal places. 0.008 What is 26393.6744 rounded to the nearest one thousand? 26000 What is -0.825475876 rounded to one dp? -0.8 What is -7169.4584 rounded to the nearest ten thousand? -10000 What is -1740.61052 rounded to 0 dps? -1741 What is -38270864.24 rounded to the nearest 10000? -38270000 Round -74.968935 to the nearest ten. -70 Round -61786591.02 to the nearest 1000000. -62000000 What is -0.00004891507015 rounded to five decimal places? -0.00005 What is -2969764.1071 rounded to the nearest 100000? -3000000 Round -0.0154466522 to six decimal places. -0.015447 Round -5.2886112 to one decimal place. -5.3 What is 0.34012354 rounded to four dps? 0.3401 Round 0.010165885388 to three decimal places. 0.01 Round -0.2728810822 to five dps. -0.27288 Round 83137.4157 to the nearest one hundred. 83100 Round -2.6604276 to one dp. -2.7 Round 224675784.84 to the nearest 10000. 224680000 Round 1.745458598 to the nearest integer. 2 What is 1947.099337 rounded to 1 decimal place? 1947.1 What is -11725402900 rounded to the nearest one million? -11725000000 Round 22.91087795 to two decimal places. 22.91 What is 215.567697 rounded to the nearest ten? 220 What is -0.0004461506378 rounded to 4 dps? -0.0004 What is 0.0078994766 rounded to six dps? 0.007899 Round -2231204.1 to the nearest one thousand. -2231000 Round -145805562.1 to the nearest 100000. -145800000 Round -0.00004938519737 to seven dps. -0.0000494 What is -13095975210 rounded to the nearest 1000000? -13096000000 What is -0.0002133453558 rounded to six decimal places? -0.000213 Round -30595943 to the nearest one hundred thousand. -30600000 Round 118262.0221 to the nearest ten. 118260 Round -0.0000013055844 to 7 decimal places. -0.0000013 Round -137.2139523 to zero decimal places. -137 Round 0.00160803126 to four dps. 0.0016 What is 0.000013924484 rounded to 5 dps? 0.00001 What is 54949.0236 rounded to the nearest 10000? 50000 Round 2.01030373 to 4 dps. 2.0103 What is 1.96067633 rounded to 4 dps? 1.9607 Round 1.4130824339 to five decimal places. 1.41308 Round -6348834.96 to the nearest 10000. -6350000 Round -21.15093128 to three decimal places. -21.151 What is 0.14123967 rounded to 2 decimal places? 0.14 What is 0.00092421539 rounded to five dps? 0.00092 Round -143325.443 to the nearest 10. -143330 What is 326.9178521 rounded to the nearest integer? 327 Round -0.00000134874064 to seven decimal places. -0.0000013 What is -52669798.6 rounded to the nearest ten thousand? -52670000 What is 0.0000156979925 rounded to 5 decimal places? 0.00002 What is -82996178.4 rounded to the nearest 1000000? -83000000 What is 0.0000292734727 rounded to 6 decimal places? 0.000029 Round 44527419.79 to the nearest one hundred thousand. 44500000 What is 633.774569 rounded to 1 dp? 633.8 What is 74.997788 rounded to zero decimal places? 75 What is 0.00056332586 rounded to seven dps? 0.0005633 Round -3.88066996 to 3 dps. -3.881 Round -0.01375770047 to four dps. -0.0138 What is 685.007742 rounded to the nearest integer? 685 Round 414131.142 to the nearest one thousand. 414000 What is 0.051192523 rounded to three dps? 0.051 What is -0.137067128 rounded to 2 decimal places? -0.14 What is -10600325.528 rounded to the nearest one hundred thousand? -10600000 Round 11.0482096 to three decimal places. 11.048 Round 0.00826387031 to 4 decimal places. 0.0083 Round 1.01649566 to 2 dps. 1.02 Round -0.00033711531 to 6 decimal places. -0.000337 Round -0.197865556 to five dps. -0.19787 Round -14.79094295 to three decimal places. -14.791 Round -245701.728 to the nearest one thousand. -246000 Round -0.84794167 to 4 decimal places. -0.8479 Round -182.857456 to the nearest 10. -180 Round -0.852792839 to 1 dp. -0.9 Round -0.0000669452435 to 5 decimal places. -0.00007 Round 1268.683702 to the nearest 10. 1270 What is -35949.2059 rounded to the nearest ten? -35950 Round 637800207.1 to the nearest one hundred thousand. 637800000 What is -84679.39 rounded to the nearest 1000? -85000 Round 6.33325257 to zero decimal places. 6 Round -13.49131958 to 0 decimal places. -13 What is -0.003536916 rounded to 4 dps? -0.0035 What is -1.718187232 rounded to 4 decimal places? -1.7182 What is -1831.8242806 rounded to the nearest integer? -1832 Round -0.00130798607 to 5 dps. -0.00131 What is 74039.507 rounded to the nearest one thousand? 74000 Round 0.0116292774 to 3 dps. 0.012 Round -0.0001053638517 to 6 dps. -0.000105 Round -27398983.43 to the nearest one thousand. -27399000 What is -0.01027919411 rounded to six decimal places? -0.010279 What is -0.072677458 rounded to 5 dps? -0.07268 What is -0.02872578403 rounded to three decimal places? -0.029 What is 985.59992 rounded to 1 decimal place? 985.6 What is -178877.7056 rounded to the nearest one thousand? -179000 What is -1.684608545 rounded to 4 decimal places? -1.6846 Round 0.00000893179414 to seven dps. 0.0000089 Round -0.0004323074323 to six decimal places. -0.000432 What is -3.9297531 rounded to two dps? -3.93 Round -0.95726993 to 2 decimal places. -0.96 Round 0.0033815564 to four dps. 0.0034 Round -0.001109042947 to 7 dps. -0.001109 What is 0.00002227476149 rounded to five decimal places? 0.00002 What is 9.11224877 rounded to 1 decimal place? 9.1 Round 5279111.88 to the nearest one million. 5000000 What is 20368122.96 r
{ "pile_set_name": "DM Mathematics" }
92? -807 What comes next: -645, -1251, -1821, -2355? -2853 What comes next: 1399, 2822, 4253, 5692? 7139 What is next in -7588, -15300, -23012, -30724? -38436 What is next in -2915, -5826, -8737, -11648? -14559 What is next in -1791, -3585, -5391, -7215, -9063, -10941? -12855 What comes next: -34712, -69430, -104148, -138866? -173584 What is next in -86040, -86042, -86044, -86046, -86048? -86050 What is the next term in -15, -42, -65, -78, -75, -50, 3? 90 What comes next: 957, 1021, 1071, 1107, 1129, 1137, 1131? 1111 What comes next: 2195, 1328, -117, -2140? -4741 What is the next term in -553820, -553823, -553826, -553829? -553832 What comes next: 261, 170, 21, -174, -403, -654, -915? -1174 What comes next: 24, 136, 330, 594, 916? 1284 What comes next: 53, 50, 57, 80, 125, 198, 305, 452? 645 What comes next: -94, -561, -1324, -2371, -3690, -5269, -7096? -9159 What comes next: 1621, 1552, 1375, 1036, 481? -344 What is the next term in 387695, 387697, 387701, 387707, 387715, 387725, 387737? 387751 What comes next: 2121, 2000, 1879? 1758 What is the next term in -2578, -5157, -7736, -10315, -12894, -15473? -18052 What comes next: -23715, -23717, -23719, -23721, -23723, -23725? -23727 What is next in -24, -86, -174, -282, -404, -534, -666? -794 What comes next: -77533, -77539, -77545, -77551, -77557, -77563? -77569 What is next in 677, 713, 775, 863, 977, 1117? 1283 What is the next term in 13088, 26152, 39216, 52280, 65344, 78408? 91472 What is the next term in 1233, 2448, 3569, 4548, 5337, 5888? 6153 What comes next: -78, -386, -1210, -2808, -5438? -9358 What is the next term in 3358, 6504, 9650, 12796, 15942, 19088? 22234 What is the next term in -235, -242, -249, -256, -263, -270? -277 What is next in -334, -1082, -2244, -3820, -5810, -8214, -11032? -14264 What is next in 58871, 117743, 176613, 235481, 294347, 353211? 412073 What comes next: 945035, 945055, 945109, 945215, 945391, 945655, 946025? 946519 What is next in -158, -320, -484, -650, -818? -988 What comes next: 161984, 323981, 485992, 648023, 810080, 972169, 1134296? 1296467 What is the next term in 126800, 126789, 126772, 126749? 126720 What is the next term in -1625, -6510, -14659, -26078, -40773, -58750? -80015 What comes next: -5253378, -5253377, -5253376? -5253375 What is next in -4406, -4492, -4576, -4658, -4738? -4816 What comes next: 1110, 1136, 1162? 1188 What comes next: 298, 862, 1676, 2746, 4078, 5678, 7552, 9706? 12146 What is next in -74, -265, -576, -1007, -1558? -2229 What is next in -1137, -2227, -3317, -4407, -5497, -6587? -7677 What is next in -4676, -4816, -4956? -5096 What is next in 66, 131, 170, 171, 122? 11 What comes next: 892, 3743, 8496, 15151? 23708 What is next in -4062, -8137, -12212, -16287, -20362, -24437? -28512 What comes next: -19968, -39976, -59984, -79992, -100000, -120008? -140016 What is the next term in -76, -314, -952, -2188, -4220, -7246? -11464 What is next in -811, -1659, -2543, -3463, -4419? -5411 What comes next: -7193, -7199, -7221, -7265, -7337, -7443, -7589, -7781? -8025 What is the next term in 17666, 35566, 53456, 71330, 89182? 107006 What is next in 359, 1458, 3283, 5828, 9087? 13054 What is next in 10507, 10445, 10277, 9949, 9407? 8597 What is next in -4170, -4151, -4098, -3993, -3818? -3555 What comes next: -13141, -13141, -13143, -13147, -13153, -13161? -13171 What comes next: 23338, 46756, 70174? 93592 What comes next: 97943, 195886, 293829? 391772 What is next in 32, 20, -158, -628, -1516, -2948, -5050? -7948 What comes next: -9725, -9773, -9821, -9869, -9917? -9965 What is next in 30871, 61347, 91825, 122305, 152787, 183271? 213757 What is next in 122, 269, 442, 641? 866 What is the next term in 6441, 6431, 6417, 6399? 6377 What is next in -368, -569, -768, -965? -1160 What comes next: 428, 561, 744, 1001, 1356, 1833, 2456? 3249 What is next in -126, -685, -1616, -2919, -4594, -6641, -9060? -11851 What is next in 65, 299, 533, 767? 1001 What comes next: -80, -686, -2318, -5486, -10700, -18470? -29306 What is the next term in 7596, 15184, 22772, 30360, 37948, 45536? 53124 What comes next: -7579, -7569, -7569, -7585, -7623, -7689? -7789 What comes next: 238, 657, 1078, 1501, 1926, 2353, 2782? 3213 What is the next term in -131993, -263990, -395989, -527990, -659993, -791998? -924005 What comes next: 290, 353, 462, 617, 818, 1065? 1358 What is the next term in 2380, 2505, 2668, 2869, 3108? 3385 What comes next: -1423, -2753, -4083, -5413, -6743? -8073 What is the next term in -437, -828, -1205, -1562, -1893, -2192? -2453 What comes next: -1178, -980, -772, -548, -302? -28 What is next in 241307, 482613, 723925, 965249, 1206591? 1447957 What comes next: 1426391, 1426389, 1426387, 1426385? 1426383 What is the next term in 397, 372, 337, 286, 213, 112, -23? -198 What is next in -35, -138, -275, -422, -555, -650, -683? -630 What is the next term in -836, -1236, -1634, -2030, -2424, -2816? -3206 What comes next: 22974, 91895, 206770, 367605, 574406, 827179? 1125930 What is next in -1678, -1541, -1406, -1273, -1142? -1013 What comes next: -335, -705, -1099, -1529, -2007? -2545 What is the next term in 49769, 49766, 49763? 49760 What is next in 1212, 1248, 1316, 1422, 1572? 1772 What comes next: 7579, 7468, 7357? 7246 What comes next: -284, -558, -852, -1160, -1476, -1794? -2108 What comes next: -3282, -3254, -3226, -3198, -3170, -3142? -3114 What comes next: -80800, -80803, -80792, -80761, -80704, -80615? -80488 What is the next term in -2566, -5131, -7694, -10255, -12814? -15371 What is the next term in 8589, 17178, 25767? 34356 What is the next term in 60, 184, 450, 930, 1696? 2820 What comes next: 3264, 3350, 3442, 3540? 3644 What is the next term in 518, 1315, 2646, 4511, 6910, 9843, 13310? 17311 What is the next term in 2392, 5379, 8368, 11359, 14352, 17347, 20344? 23343 What is next in 10470, 10395, 10318, 10239, 10158, 10075, 9990? 9903 What is the next term in -232, -1274, -4114, -9652, -18788, -32422, -51454, -76784? -109312 What comes next: 3490, 7015, 10542, 14071, 17602, 21135, 24670? 28207 What is the next term in -21279, -21293, -21307? -21321 What is next in -880866, -880861, -880844, -880809, -880750? -880661 What is next in -396, -155, 86, 327, 568? 809 What is the next term in 74, -62, -414, -1090, -2198, -3846, -6142? -9194 What is next in 28280, 28282, 28284, 28286, 28288? 28290 What is the next term in 179, 401, 611, 803, 971, 1109, 1211? 1271 What is the next term in -885, -1027, -1263, -1587, -1993, -2475, -3027, -3643? -4317 What is next in 19053, 19061, 19081, 19119, 19181, 19273, 19401, 19571? 19789 What is next in 176, 363, 576, 827, 1128? 1491 What is the next term in 166, 292, 418, 544, 670, 796? 922 What comes next: 1529, 6091, 13695, 24335, 38005, 54699, 74411? 97135 What comes next: 73158, 73156, 73152, 73146, 73138, 73128, 73116? 73102 What is the next term in -1449, -2369, -3285, -4197, -5105? -6009 What comes next: -245521, -245523, -245525? -245527 What comes next: 421, 1602, 3569, 6322, 9861, 14186, 19297? 25194 What is the next term in 484, 1041, 1970, 3271, 4944, 6989, 9406? 12195 What is the next term in -558676, -558674, -558672? -558670 What is next in -1153792, -2307582, -3461372, -4615162, -5768952? -6922742 What comes next: 793, 774, 721, 616, 441, 178, -191? -684 What is next in -21, -427, -1623, -4005, -7969, -13911, -22227, -33313? -47565 What comes next: 893, 902, 923, 962, 1025? 1118 What comes next: 2634, 1417, -610, -3441, -7070, -11491, -16698? -22685 What comes next: 433, 779, 1033, 1195, 1265, 1243? 1129 What is next in 56104, 448827, 1514796, 3590635, 7012968, 12118419? 19243612 What is the next term in 408065, 408067, 408069, 408071, 408073, 408075? 408077 What is the next term in -1594, -6390, -14406, -25642, -40098? -57774 What is the next term in 945, 1031, 1179, 1389, 1661, 1995, 2391? 2849 What is the next term in -7811, -7819, -7831, -7847, -7867, -7891, -7919? -7951 What is next in -33, -134, -305, -552, -881? -1298 What comes next: 592, 2368, 5328, 9472, 14800, 21312? 29008 What is next in 19471, 19486, 19525, 19600, 19723, 19906, 20161? 20500 What is the next term in -812, -796, -754, -674, -544, -352? -86 What is the next term in 4153, 4307, 4461? 4615 What comes n
{ "pile_set_name": "DM Mathematics" }
ve -p*n + 4*r = -24, 4*n + 2*r - 21 = -7 for n. 4 Suppose -2*p - f = 6 - 19, -5*p + 10 = -2*f. Suppose 7*q + 24 = 9*q. Solve 2*y = 2*m - 6, p*m + 0*m = -y + q for y. 0 Let x be (1/(1/(-4)))/((-112)/56). Solve -4*w - 16 = 0, 4*w = -c - x - 16 for c. -2 Let h be (-60)/(-40)*2/(-3)*-2. Solve 7 = -h*w - k, 2*w - 4*k + 9 = -3*k for w. -4 Let n(f) = -f**3 - 6*f**2 - 3*f + 25. Let i be n(-4). Solve v - i = -4*v, 4*v = 2*o + 4 for o. 0 Suppose -3*m + c - 4 = 0, 3*m + 8*c - 11*c + 12 = 0. Suppose -5*l + m*l + 5*z + 25 = 0, 0 = -3*l - 2*z. Solve -5*d = 5*a - 10, -d = -2*d - l*a + 4 for d. 0 Let r be 14/(-56) + 2/8. Suppose 0 = -g - 2 - 1. Let i(j) = j**3 + 5*j**2 + 4*j - 1. Let f be i(g). Solve -k - f*b = -1, 4*k + r*b + 15 = -b for k. -4 Let k(s) = -s**2 - 13*s - 7. Suppose 14 = 2*x + 38. Let u be k(x). Suppose 3*w = -u*l + 2*w + 69, -4 = 4*w. Solve 0 = 4*r - 2*v + l, 0*r - 18 = 3*r - 4*v for r. -2 Let o(r) = -4 + 21*r + 11*r - 27*r. Let b be o(5). Solve 0 = 5*d - 20, 0*f + f - 4*d = -b for f. -5 Suppose -2*t + 10 = -3*t. Let w(x) = -2*x**2 - 20*x + 5. Let f be w(t). Solve s - 4 = 2*k - k, 20 = -s - f*k for s. 0 Let o be (0/4 - -6) + -2. Suppose 3*m - 11 = o*q, 3*m + 2*m + 3 = -4*q. Let x(z) = z**3 - 1. Let c be x(m). Solve 4*g + 0 - 12 = 0, 2*p + g - 5 = c for p. 1 Suppose -3*a - 4*m = 0, -5*a + 4*m = 6*m. Solve 5*c + i + 8 = a, 0 = 3*c - i - 2*i + 12 for c. -2 Let w = -40 + 40. Let k = w + 4. Let d = -21 + 54. Solve 3*q - 6*q + 5*j = 31, -k*q = -5*j + d for q. -2 Suppose 19*t = -2*t + 42. Solve -g + t + 3 = z, 2*z - 15 = -3*g for z. 0 Let i = 11 - 8. Suppose 3 = 3*f + 5*u + 8, 3*u - 3 = -i*f. Suppose 3 = -f*r + 13. Solve -2*w = -q - r, 2*q + 4 = -0*q + 3*w for q. -2 Let k = -29 + 74. Suppose 0*h = -5*h + k. Solve 0 = 2*z + 5*b - 17, 0 = -3*z + 8*b - 4*b - h for z. 1 Let c(h) = 2*h - 21. Let w be c(9). Let j = w + 23. Solve -3*p = 4*m - 4*p - j, 3*m + 5*p = 15 for m. 5 Let g = -1149 - -1149. Solve -2 = v + j - g, 0 = v + 2*j - 1 for v. -5 Suppose 0 = 3*t - 2*x - x - 3, 0 = -t + 5*x - 11. Solve -t*s = -5*r + 6, 4*s - 2*r + 3*r - 6 = 0 for s. 1 Let v = -5 - -8. Suppose 0 = -2*u + 5*u - 72. Solve v*o - 3*g - u + 6 = 0, -4*o + 23 = -3*g for o. 5 Let k(m) = -m**2 + 7*m - 6. Let l be k(6). Suppose 5*r - 12 = -u + 5, 4*r - 13 = -u. Let s = -7 + 9. Solve l = -5*q + 4*d - r, -2*q - q + s*d - 4 = 0 for q. -4 Let l(f) = f - 11. Let z be l(14). Let o be (z/9)/(3/36). Suppose 2*q - o*q = -4. Solve -c - 5*s = -0*c + 5, -5*c + q*s = -29 for c. 5 Let p(y) = y**2 + 31*y + 62. Let z be p(-29). Solve 0 = m + z*t - 11, -4*t + 8 = -m - 13 for m. -5 Let i be -7 + 10 - ((-2)/2 + 2). Solve 0 = -i*m + 5*p - 2, 10 = -2*m - 5*p + 8 for m. -1 Suppose -47 + 102 = 5*u. Solve 0 = -2*y, -8*v + u*v - 15 = -y for v. 5 Suppose -4*i - 3*a - 2 = 4, -8 = 4*a. Let w = i - 0. Solve w = 5*k - 4*y + 9 + 3, k = -3*y + 9 for k. 0 Suppose 13*n = 26*n - 52. Solve -5*i + 0*i - 2*s - n = 0, 0 = 4*i - s - 2 for i. 0 Let q = 1 - -5. Suppose -b - q*b + 42 = 0. Solve 20 = 5*o, 2*d - 4*o + b*o - 12 = 0 for d. 2 Suppose -5*i - 7 = -3*w, -2*w + i + 11 = 4*i. Solve -5*v + w*h = 18, v = -0*h - h for v. -2 Let p(b) = -18*b - 3. Let d be p(-1). Suppose 5*v - d - 10 = 0. Solve 5*h = -v, -5*h + 3 - 2 = 2*c for c. 3 Let g(x) = x**3 - 4*x**2 + 5*x - 1. Let r be g(3). Let m(s) = -4*s + r*s - 5 + 8*s. Let c be m(2). Solve -5*v + 2*l = c, v - l - 1 = 3*l for v. -3 Let g = -2951 + 2956. Solve -5*l + 4*l - 9 = 3*x, 2*x = -g*l + 7 for x. -4 Suppose 31 = 3*o - 5*t, -4*o - 2*t + 36 = -6*t. Solve 4*w = -s + 1, -5*w + 5 = o*s - 2*s for w. 0 Suppose -5*d = -2*m - 80, d - 3*m - 85 = -4*d. Suppose 0 = 41*o - 40*o - d. Solve -r - o = 5*c - 2*c, c + 10 = -3*r for c. -4 Suppose 38*f - 40*f = -10. Solve 0 = 4*o + f*n + 27, -2*o + 4*n = 9*n + 21 for o. -3 Let z(m) = m**3 + 4*m**2 - 5*m + 5. Suppose 3*y - 4*k + 35 = 0, 3*k - 26 = -11. Let l be z(y). Solve -l*r - 3*s = 5, -2*r - 4*s - 8 = 8 for r. 2 Let o(w) = -3*w - 46. Let p be o(-17). Suppose 13 - p = 4*b. Solve b*d - 10 - 19 = -5*k, 2*d + 1 = k for k. 5 Suppose 4*p - 3 = -s, 5*p = s - 3*s. Suppose l = -p*f + 1, 5*f + 2 - 12 = -l. Solve -3*d = -f*z + d + 35, 5*d + 10 = -3*z for z. 5 Let a = -28 - -25. Let d = 6 + a. Solve -2*v = -g + 7, -2*g - 7*v + d*v + 6 = 0 for g. 5 Let q be (-2 + -17)*(3 - 6). Let i = q - 41. Solve -4*v - 12 = p, -i = -v + p - 6*p for v. -4 Let p be 3/12 - 22/(-8). Let t = -15 - -15. Suppose -9 = -p*v - t*v. Solve -2*l - 5*h - 7 = 0, 0*h - 4 = v*l + h for l. -1 Let g be (14/(-28))/((-2)/40). Suppose 5 = -5*x, -2*x + 51 = 4*i - x. Let s = i - g. Solve m = -b + s, -5*b = -4*m - m + 15 for b. 0 Let w(p) = -2*p + 2. Let f be w(0). Suppose -2 = u + v, 2*u - f*v = -3*v. Solve -u*k = -0*j + j + 9, -2*j = k + 12 for j. -5 Let r be ((-4)/(-14))/(2/14). Let c be (-1)/(10/4) + (-506)/(-115). Let u = 4 + -2. Solve 1 = -u*j - r*x + x, -j = -x - c for j. 1 Let l = 31 - 21. Suppose 3*s - 5*s - 2*k - l = 0, -5*k = -3*s + 25. Let u be -2*(-1 - 1)/1. Solve -2*m + b + u*b + 15 = s, -6 = m + 2*b for m. 0 Let m(n) = -3*n + 137. Let r be m(43). Solve -2*c - b + 5*b = r, c + 4 = -2*b for c. -4 Let j = 16 + -13. Solve -5*x + 26 = -j*t, -5*t - 11 = -1 for x. 4 Let y be (-6)/18*1*-39. Suppose -2*v - 33 = -y*v. Solve -u - 2*n - v = 0, -4*u - n = -4*n + 12 for u. -3 Let k = -27 - -27. Suppose 0 = t - 4*t - 5*m + 25, 2*t - 5*m = k. Solve -4*l + 3 = -3*f, t - 8 = 3*f - l for f. -1 Let v = 29 + -26. Suppose 2*q = 3*m - v, -2*q - 7 + 1 = -4*m. Let t be -1 - -1 - -2*1. Solve -4*w - d - 4*d = 12, -t*w - 8 = q*d for w. 2 Let t be (12/(-14))/(8/392). Let q = -39 - t. Solve 5*g = o + 21, -3*o + 0*o + 9 = q*g for g. 4 Suppose b + b - 7 = -r, 4*r = 12. Let t be 81/18 - 2/4. Solve -t = -y, 2*c + 20 = -c + b*y for c. -4 Let y = 240 + -240. Solve 3*j = 4*g + 35, -40 = -5*j - y*g + 3*g for j. 5 Let b be (2/8)/(22/88). Solve 5*s - z + 7 = 3*z, b = -s + z for s. -3 Suppose -4*c = -5*p + 13, 6*c = 2*c - 5*p + 37. Solve -6*q = 3*u - 2*q - 8, -c*q + 11 = u for u. -4 Let b(s) = s**3 - 4*s**2 + s + 3. Let p be b(3). Let o be (-1 + 2/4)*0/p. Solve o = -5*f - 25, -3*m - 2*f + 6*f + 23 = 0 for m. 1 Let v be (-3 - -3) + (-4 - -4). Suppose 5*d + v*d - 20 = -5*g, -d + 2*g = -7. Solve -19 = d*o - 4*q, 5*q + 4 = -3*o - 0*q for o. -3 Let w = 12 - 10. Suppose 4*r = w*r + 56. Suppose -2 - 10 = -3*g. Solve -5*k - 2*x + r = 0, x - 10 = -g*k + 10 for k. 4 Let q be (9/(-45))/((-2)/(-5))*0. Solve 3*u + 16 = -q*z - 2*z, -5*z + 4*u - 17 = 0 for z. -5 Let t(y) = -y**3 + 26*y**2 - 26*y + 27. Let d be t(25). Solve 0 = d*h - 3*i + 2 + 4, 0 = 2*h - 4*i + 8 for h. 0 Let f(a) = 0*a + 2956 - 2981 - 3*a. Let x be f(-9). Let b be 7*(2 - 16/14). Solve x*d + d = -q + b, -3 = -d for q. -3 Suppose -2*u - 74 = 5*w, 0 = -5*w - 3*u + 2*u - 72. Let a = w + 18. Solve 5*s = a*y + 16, 4*s - 2*s = 2*y + 6 for s. 4 Suppose 2*u - j - 66 = -2*j, -3*u - 4*j + 104 = 0. Solve -6*r + r = -4*k + 37, -4*k + 4*r + u = 0 for k. 3 Suppose 2*d - 2*r - 46 = 0, r = -2*d + 26 + 14. Suppose 4*p + 5 = d. Let t = 5594 + -5591. Solve -z + 8 = -t*a - 4, -z = p*a + 23 for a. -5 Suppose 158*x - 324 = 161*x. Let z = 113 + x. Solve 0 = z*i - 2*r + 13, -4*r - 14 = 3*i + r for i. -3 Suppose 4*c + 4*v + 12 = 0, 3*c + v - 4 + 3 = 0. Suppose 5*h - c*h - 12 = 0. Solve 5*a = h*s + 30, 3*a - 1 = -5*s + 4*s for a. 2 Let j be 384/36 - (-2)/(-3). Suppose 3*p - p = j. Solve 3*t - 6 = -p*z, 0 = -4*t - z - 9 for t. -3 Let d(g) = 24*g + 5. Let w be d(1). Solve f + 2*m + 13 = 0, -2*f + 5*f + w = -4*m for f. -3 Let m = -6 - -10. Suppose -5*a - 115 = l, -4*a = m*l - 8*l + 68. Let i = 24 + a. Solve 0 = -i*r + 2*d, 2*d - 4 = -5*r + 6*d for r. 4 Let z = -6 + 10. Suppose -1 = -3*y - 5*a, -4*y + 0*y + 4*a = -12. Let j be ((-60)/48)/(y/(-8)). Solve 0 = 5*p - j*f + 2*f + 6, -z*p - 3 = -3*f for p. -3 Let d be 2/(-7) + 188/(-28) - -12. Solve 5*s - 3 - 22 = 5*l, 2*s - 22 = d*l for l. -4 Suppose q - 2 = 0, -u - 3*u + 3*q = -506. Let c = u - 126. Solve z + 0*v + 1 = 3*v, 0 = 2*z - 4*v + c for z. -1 Let b be 0 - (42/7 + -21). Solve 5*u + 5*c + b = 0, u - 4*c + 18 = -u for u. -5 Let m(t) = -9*t - 10. Let f be m(-2). Let q = -99 + 149. Solve 0 = n - 3*o + 10, 5*n - 3*o = -f*o + q for n. 5 Suppose 4*k = -2*w + 6 + 8, -k - 10 = -4*w. Suppose 0 = -4*f - 2 - k. Let d be (2/1)/(-2)*f. Solve 3*o - 4*s =
{ "pile_set_name": "DM Mathematics" }
10*b - 1 + 1). 20*b**2 - 20*b Expand -31296*x**3 - 75*x**4 + 31296*x**3 + (2*x - 2 + 2)*(5*x**3 + x**3 - 5*x**3) + 7*x**4 - 3*x**4 - 3*x**4. -72*x**4 Expand 210*g**2 + 2207 - 2207 + (0 - 2*g + 0)*(-4*g + 4*g - 2*g) - g**2 - g**2 + g**2. 213*g**2 Expand (2 - 11 + 8)*(0*x**2 + 3*x**2 + 0*x**2 - x**2 + x**2 + x**2 + (0 + 2*x + 0)*(5*x - 4*x + 0*x)). -6*x**2 Expand y**3 - 6*y**3 + 5*y**3 - 22*y**4 + (-y + y - 3*y**2)*(2*y**2 + y - y). -28*y**4 Expand (2249*r - 2249*r - 32*r**2)*(41 + 5*r**2 - 41). -160*r**4 Expand -2 + 2 - 20*p + (0 + 1 - 3)*(0 - p + 0). -18*p Expand (-4 - 1 - 1)*(-10 + 14*b - 11*b - 2*b**2 + 0). 12*b**2 - 18*b + 60 Expand (2 - 5 + 2)*((0*b**2 + 2*b**2 - b**2)*(-3*b + 6*b - 2*b) - 9*b**3 + 2*b**3 + 2*b**3)*(1 - 1 + 1)*(3 - 2 + 23). 96*b**3 Expand q**3 - 2*q**3 + 2*q**3 + (-2*q**2 + 2*q**2 + 2*q**3 + (4*q - 2*q - q)*(-1 + q**2 + 1) - q**3 + 2*q**3 + q**3)*(0 + 1 + 0)*(-1 + 2 - 5). -19*q**3 Expand -2*j**5 + 2*j**5 + 3*j**5 + (-32*j + 20*j - 64*j)*(j**4 + j**4 - 4*j**4). 155*j**5 Expand 2*c - 2*c + 3*c**2 + (-2*c**2 - 1 + 1)*(-3 + 3 - 2)*(-15 - 17 - 1 + (4 - 1 - 2)*(-1 + 4 - 1)). -121*c**2 Expand (-3 + 0 + 6)*(m**3 - 4*m**4 - m**3)*(29*m + 59*m + 4*m - 14*m). -936*m**5 Expand ((2*l + 2*l - 2*l)*(-4 + 3 + 0) + 0*l - 5*l + 2*l)*((3 + 2 - 6)*(-2 - 2 + 3) + 4 + 9 - 6 + (-1 + 0 + 3)*(6 - 1 - 2)). -70*l Expand (-2493*j**2 + 1247*j**2 + 2*j + 1248*j**2 + 27)*(-j + 5 - 5)*(-3 - 2 + 6 + (6 - 4 - 4)*(-3 + 0 + 2) + 4 - 3 + 1 + 5 - 1 - 3). -12*j**3 - 12*j**2 - 162*j Expand (-2*q + 0*q + 3*q)*(-7 + 35*q + 7 + (2*q - 3*q + 0*q)*(-3 - 4 + 5)). 37*q**2 Expand (-5 - 2*i + 5)*(1 - 3 - 3)*(-1 + 4 - 2)*(-4 + 2 + 6)*(2*i + 3*i - 2*i). 120*i**2 Expand (4 + 512*g - 242*g + 6 - 231*g)*(-3 + 3 - g). -39*g**2 - 10*g Expand (2 + 3 - 6)*(0*i**4 + i**4 + 0*i**4 + (0*i**4 + 13*i**4 + 8*i**4)*(4 - 2 + 0)) + (-i**3 - i**3 + i**3)*(0 + 0 + i) - 2*i + 2*i - 2*i**4. -46*i**4 Expand 62*v**2 + 106 - 106 + v**2 - v**2 - 2*v**2 + (-v + 0*v - v)*(0 + v + 0) + 2*v**2 + 3*v**2 - 6*v**2. 57*v**2 Expand (2*j**2 + 0*j**2 - 3*j**2)*(3*j**2 - 2*j**2 - 2*j**2) - 1248*j**4 - 1858*j**4 + 338*j**4. -2767*j**4 Expand (2*c + 4*c**2 - 2*c)*(-c - 53 + 34 + 27). -4*c**3 + 32*c**2 Expand (0 - 20*c**5 + 15*c**5 + 2)*(4 - 4 - 5). 25*c**5 - 10 Expand (22*o**2 + 15*o**2 + 5*o**2)*(-3*o**2 + 1 - 1) + (3 - 3 + 2*o)*(-2*o**3 + 2*o**3 + 2*o**3). -122*o**4 Expand (-3*d**3 - 2*d**3 + 6*d**3 + (2*d**2 - 2*d**2 + 2*d**2)*(1 - d - 1) + (2*d + 2 - 2)*(-5*d**2 + 2*d**2 + 2*d**2))*(7 - 2 - 2). -9*d**3 Expand (12*x**5 + 4*x**5 - 4*x**5)*(0 + 2 + 0)*(1 + 3 - 3)*(0 - 1 - 1). -48*x**5 Expand (-2*m**3 - 2*m**3 + 3*m**3)*(-33*m - 37*m - 11*m). 81*m**4 Expand 0*n**4 - 3*n**4 + 0*n**4 + (3 + 2 - 3)*(4*n**4 + n**4 - 3*n**4) - 8 + 8 - 7*n**4 + (-1 + 2*n + 1)*(-2 + 2 + 1)*(-2*n**3 + 0*n**3 + 3*n**3). -4*n**4 Expand (0*d**2 - d**2 + 0*d**2)*(-d**2 + 3*d**2 + d**2) + (2*d**2 - 2*d**2 + d**2)*(7*d - 7*d - 8*d**2). -11*d**4 Expand 752*a**3 + 710*a**3 - 1113*a**3 - 4 + 4 - 2*a**3 + (0*a**2 + 2*a**3 + 0*a**2)*(-1 - 2 + 1). 343*a**3 Expand (k - k - 2*k)*(5 - 1 - 5) - 2*k + 22*k - 78*k. -56*k Expand (3 - 3 + 6*x)*(6*x + 3*x + 70*x + (-1 + 4 - 2)*(0*x + x + 0*x)). 480*x**2 Expand (a - a - 3*a)*(-11*a + 18*a - 6*a). -3*a**2 Expand -10*b**5 - 75*b + 75*b + (-b**3 + 1 - 1)*(0*b**2 + b**2 - 2*b**2). -9*b**5 Expand 7*y - 4*y**2 - 7*y - 3 + 3 - y**2 + (0*y - 2*y + 0*y)*(-3*y - 2*y + 7*y) + 2*y**2 + 7 - y**2 - 1 - 3*y**2 + y**2 + 3*y**2. -7*y**2 + 6 Expand 0*f**3 + 4*f**3 + 3*f**3 + (-f**2 - 2*f**2 + 2*f**2)*(-10 + 10 - 4*f + (-2 + 1 - 1)*(-4*f - 2*f + 5*f) - 3*f + 4*f + 0*f). 8*f**3 Expand (-d - 1 + 1)*(4 + 0 - 2) - 62*d + 76*d + 43*d. 55*d Expand (9 + 21 + 78)*(u - 3*u + 0*u). -216*u Expand (14*z - 33*z - 17*z + (-z + 0*z + 3*z)*(-1 + 1 + 1))*(z**4 + 2*z**4 + z**4). -136*z**5 Expand (2*n - 6*n + 3*n)*(4 - 4 - 1) + (-n + 0*n - 4*n)*(1 - 1 + 1) - 6 + 6 - 4*n. -8*n Expand (-3*j**2 + j**2 + j**2)*(-3 + 2 + 2) + (3*j - j - 3*j)*(12 - 8 + j - 8). -2*j**2 + 4*j Expand (6 - 6*p - 6)*(3*p - 21*p - 8*p). 156*p**2 Expand -2*a**3 + 5*a**3 - 5*a**3 + (-2*a**2 + 3*a**2 + 0*a**2)*(-2*a + 2*a - a) - 874*a**3 - 683*a**3 + 1161*a**3 + (4*a**2 - 3*a**2 + a**2)*(-1 + 1 - a). -401*a**3 Expand (-53*c**4 + 203*c**2 + 353*c**4 - 202*c**2)*(1 - 1 - 2*c). -600*c**5 - 2*c**3 Expand (m - m - 2*m + (-44*m - 20*m - 72*m)*(3 + 1 - 3))*(-1 - 4*m + 3*m - m)*(0*m + 0*m - m**2). -276*m**4 - 138*m**3 Expand (-3 + 0 - 3)*(368*i**2 - 97*i**3 - 368*i**2). 582*i**3 Expand (-207 - 98 + 86)*(5*l - 4*l + 0*l) + l - 5*l + l. -222*l Expand (9*i + 71*i**2 + 5*i - 14*i)*(-2*i - 2*i + 3*i). -71*i**3 Expand (3 - 4 + 2)*(5*d - 35*d - 126*d - 2*d - 2*d + 5*d + (-1 - 3 + 2)*(2 + d - 2)). -157*d Expand -f**4 + 2*f**2 - 2*f**2 + (4*f**2 - 6*f**2 + 4*f**2)*(3*f**2 - 4*f**2 + 3*f**2) + 0*f + 0*f - f**4 - 303*f**4 + 25 + 38 - 60. -301*f**4 + 3 Expand (-25 - 66 - 25)*(0*b - 3*b + b) + (-1 + 3 + 0)*(2 - 2 - 2*b) + 1 - b - 1 - 4*b - b + 2*b. 224*b Expand 2*i**4 + 0*i**4 + 0*i**4 + (3 - 4 - 1)*(3*i**4 - i**4 - i**4) - 17*i**4 + 18*i**4 + 57*i**4 + i**3 - i**3 - 2*i**4. 56*i**4 Expand (-2*m**2 + 0*m**2 + 25*m**2)*(1 - 6 + 2)*(-3*m**3 + 0*m**3 + 5*m**3). -138*m**5 Expand (-7*u - 2*u + 8*u)*(-u + 0*u + 5*u)*(2*u**2 - u**2 + 4*u**2). -20*u**4 Expand (4 - 4*r - 4)*(47*r + 370*r - 473*r - 1031*r - 1033*r). 8480*r**2 Expand 3*n**2 + 2*n**2 - n**2 + (3 + 0 + 0)*(3*n**2 - 3*n**2 - 5*n**2) - 2*n + 2*n - 2*n**2 + (-3 + 1 + 3)*(-4*n + n**2 + 4*n). -12*n**2 Expand (-5*t**2 + t**2 + 3*t**2 + (-t + 3 - 3)*(-2 + 2*t + 2) - 2*t**2 - 2*t**2 + 2*t**2)*((2 - 5 + 2)*(-6 + 4 + 3) + 4 - 3 - 4 + (-10 + 9 - 2)*(-3 - 2 + 1)). -40*t**2 Expand (-5 + 5 - p)*(-278 - 66 - 257 + 1). 600*p Expand (-1 + 1 - 1)*(3*n - 2*n + n)*(2 - 4 + 3)*(-2360*n + 2360*n + 12 + 3*n**3). -6*n**4 - 24*n Expand (0 + 5 - 4)*(-3 - 589*z - 230*z + 226*z). -593*z - 3 Expand -3*l + 2 + 3*l - 9*l + (-1 + 1 + 3*l)*(-1 - 1 - 3). -24*l + 2 Expand (l - 2 + 2)*(91 + 338 - 33 + 30). 426*l Expand (-36*v + 118*v - 21*v)*(v**4 + 24*v**2 - 24*v**2). 61*v**5 Expand 7*q - 5*q + 7*q + (-2*q + q + 0*q)*(-3 + 3 - 1) - q - q + 4*q + (1 - 1 - q)*(1 - 3 + 0) - 2*q - 2*q + 7*q. 17*q Expand 54 + 29*q**4 - 54 + (5 - 5 - 3*q**3)*(2 + 2*q - 2). 23*q**4 Expand (-18*t**2 + 2*t**2 - 12*t**2)*(-2*t + 4*t - 3*t). 28*t**3 Expand (-3*l**2 + l**2 - l**2)*(-2*l**3 + l - l) + (2 + 1 - 1)*(7*l**2 + 21 - 21)*(5*l**2 - 8*l**3 - 5*l**2). -106*l**5 Expand (3*o + 0*o - 4*o)*(6 - 3 - 2)*(1 + 5 - 3). -3*o Expand (46*u**3 - 24*u**2 + 23*u**2 - 12*u**3)*(3 - 3 - 7). -238*u**3 + 7*u**2 Expand (-3 + 5 - 3)*(-9373 + 18713 - 6*r - 9389)*(r + r - r**2 + 2 + 0*r). -6*r**3 - 37*r**2 + 110*r + 98 Expand -16*g**5 + 19*g**5 + 45*g**5 + (5*g - g**3 - 5*g)*(3 - 3 - 4*g**2). 52*g**5 Expand 55*d + 21*d + 14*d + (2*d + 0*d - d)*(1 - 2 + 3) + d - 4*d + 0*d. 89*d Expand (3*z + z - 6*z)*(3*z - 23*z - 28*z) + (0*z + z + 0*z)*(0 + 2*z + 0). 98*z**2 Expand (2*f + 3 - 1 - 3)*(-32*f - 31*f - 20 + 60*f). -6*f**2 - 37*f + 20 Expand (0*s**3 - 5*s**3 - s**3)*(s**2 - 3*s**2 + 3*s**2) + 3*s**5 - 3*s**5 - 5*s**5 + 2*s**5 - 2*s**5 + 2*s**5. -9*s**5 Expand 26*k**5 - 278*k**3 + 555*k**3 - 279*k**3 - 3*k + (-2 + 2 - k**4)*(-3*k - 2*k + 6*k) + 4*k**2 - 4*k**2 - k**5. 24*k**5 - 2*k**3 - 3*k Expand -2*y**4 + y**4 - y**4 + (y**2 + 2*y**2 - 4*y**2)*(3*y**2 + 3*y**2 - 5*y**2) - y**4 + 13*y**4 - 3*y**4 + (-3*y + 3*y - y**3)*(0*y + 2*y + 2*y). 2*y**4 Expand (-4*c + 0*c + 3*c)*(132*c + 107*c - 159*c). -80*c**2 Expand (2*f - 12*f + 0*f)*(0 + 2 + 2)*(1 - 2 - 1 + (0 - 1 + 3)*(2 - 3 - 1) + 3 + 1 - 6). 320*f Expand -109*y**2 + 109*y**2 + 13*y**5 + 2*y**5 + 0*y**5 - 3*y**5 + (-y**4 + 2*y - 2*y)*(1 - 1 + 2*y) + 0*y**5 - 2*y**5 + y**5. 9*y**5 Expand (5*w + 0*w + w)*(-19*w + 0*w + 3*w). -96*w**2 Expand (2*s - 1 + 0 + 0*s)*(0*s**4 - 3*s**4 + s**4) + 76*s**4 - 76*s**4 + 16*s**5. 12*s**5 + 2*s**4 Expand (i**4 + 0*i**2 + 0*i**2)*(-2 + 3 - 4 + (-1 - 3 + 2)*(-10 + 0 + 1) + 1 + 1 + 0). 17*i**4 Expand 4*a**4 - 3*a**4 - 3*a**4 + (-3*a - 2*a + 4*a)*(a**3 - 3*a**2 + 3*a**2) - 2*a**4 - a**2 + a**2 + (3*a**3 - 2*a**3 + 3*a**3)*(-11*a + 17*a + 7*a). 47*a**4 Expand ((2*c + 0*c + 0*c)*(3 + 3 - 5) + 796 - 404 - 395 + 7*c)*(-2 - 4 + 4). -18*c + 6 Expand -5*y**2 + 2*y**2 + 0*y**2 + (2*y + 3*y - 4*y)*(4*y - 3*y + 0*y) + 0*y**2 - 3*y**2 + 2*y**2. -3*y**2 E
{ "pile_set_name": "DM Mathematics" }
, -31513, -1/3? 2/9 What is the biggest value in -0.9, 3313, 0.22, 1/4? 3313 What is the sixth smallest value in -4, 7, 0, -1/2, -0.57, 2/5? 7 Which is the third smallest value? (a) 2345/13 (b) 8 (c) -1.6 (d) 4/7 b What is the fourth biggest value in 13, 0.07, 4, 2593, 3, 5? 4 What is the fourth smallest value in -0.59, 115.4, -384, 0.2? 115.4 What is the second biggest value in -0.4, 110, -1, -1/3, -6.2, 3, -2.7? 3 What is the second smallest value in -11, 5/6, -27, 15.8, -0.2? -11 Which is the second biggest value? (a) 5/2 (b) -0.27 (c) 91261 a Which is the fifth biggest value? (a) -2 (b) 0.1 (c) -466/17 (d) 0 (e) -121 e Which is the smallest value? (a) -4/7 (b) -73 (c) 4 (d) -0.2 (e) -32 (f) -2/133 (g) 1 b What is the biggest value in -0.2, 3203, -32, 4/7, 1/3? 3203 What is the fourth biggest value in -44, 7, -311, -0.5? -311 What is the fifth smallest value in 5, 1/3, 0.039, -2, 0.47, 4, -3/11? 0.47 What is the third smallest value in -2, -220772, 0.4, 11? 0.4 Which is the third biggest value? (a) 988159 (b) -2 (c) 1 b What is the biggest value in -2/3, 453, 65/41, -6? 453 Which is the third smallest value? (a) 12 (b) -72/5 (c) 4.4 (d) 3 (e) 1/22 (f) 3/2 f Which is the smallest value? (a) 3/668 (b) 0.3 (c) -1 (d) 1927.9 (e) -6 e What is the third biggest value in -376/167, -4/17, 0.3? -376/167 Which is the sixth biggest value? (a) 5 (b) 1/5 (c) -281 (d) -1/16 (e) -0.2 (f) 2/7 (g) -3/7 g Which is the smallest value? (a) 0.1 (b) -4900 (c) 3 (d) 2/3 (e) 10 (f) -3 b Which is the fourth smallest value? (a) 26 (b) -39 (c) -0.54 (d) 0.11 a What is the smallest value in -5, 1, -0.5, -0.07, 8/9155? -5 What is the fourth smallest value in 2, 7.9, 26, 0.34, -3? 7.9 What is the smallest value in 4, -0.002, 94? -0.002 What is the second smallest value in 1/5, 0.4, 0.098502, 0.11? 0.11 Which is the third smallest value? (a) -8 (b) -5849030 (c) 1/2 c What is the fifth biggest value in 4, 876, -3, 1/3, 0.5, -1, 0? 0 What is the fifth smallest value in 0.03, 0, 5, -42, -11, 3.6, -3? 0.03 Which is the fourth smallest value? (a) -5/2 (b) 2 (c) 4 (d) -16838 (e) 0.5 b What is the fourth biggest value in -4, -6720, 2/1003, 7/5? -6720 What is the biggest value in 0.2, 101, -2/15907? 101 Which is the biggest value? (a) 21 (b) 0.1 (c) 0.3 (d) -0.22 (e) 0.08 a What is the third biggest value in 724, 22/181, -0.5? -0.5 Which is the sixth smallest value? (a) 5 (b) -1/25 (c) 4 (d) -0.3 (e) -5 (f) -2603 (g) -1 c Which is the biggest value? (a) -2/7 (b) -1.5 (c) -0.1 (d) 1/81 (e) -4 (f) -0.5 (g) 1.38 g Which is the third smallest value? (a) 19/347 (b) -6.17 (c) 2 c Which is the fifth smallest value? (a) 3/13 (b) 3 (c) -4.5 (d) -1 (e) -0.06 b What is the fifth smallest value in -5, -412.97, -4, -3/2, -8/19? -8/19 Which is the second biggest value? (a) 0.5 (b) 10.37 (c) -0.011 (d) -44 (e) -5 a What is the fourth smallest value in -0.05, -2/5, -24, -299, -27, -2/15? -2/5 Which is the sixth biggest value? (a) -8 (b) -4 (c) -2/7 (d) -5 (e) 9 (f) -209 (g) -0.2 a What is the fourth smallest value in 18, -7.5, -4/3, 530, 2/53? 18 Which is the third smallest value? (a) -5/4 (b) -4.1 (c) -2/103 (d) 2/13 c What is the smallest value in 1/6, 267746, 0.128? 0.128 Which is the third smallest value? (a) -1.46 (b) -27.48 (c) 3 c What is the biggest value in -5/57, 1958, 2/19? 1958 Which is the biggest value? (a) -906 (b) 202 (c) 0.5 (d) 1/4 (e) 5 b Which is the third biggest value? (a) 2/465 (b) 1/4 (c) -179 (d) 0.16 (e) -9 a Which is the sixth biggest value? (a) -5 (b) 9 (c) 1 (d) 1/2 (e) 1037 (f) 13/6 a What is the biggest value in -1, 7, 1, 25, -2/13, 125, 5/6? 125 Which is the second biggest value? (a) -1 (b) 263 (c) -287/6 (d) -0.7 (e) -5 d What is the biggest value in 5, -2/5, 0.1, 0.5, -44.8, 2/9, 9? 9 What is the third biggest value in -0.01, 955630, 0.5, 2/3? 0.5 Which is the second smallest value? (a) 0 (b) -2 (c) -5240/7 (d) -141 d What is the third smallest value in -0.1, -11, -0.2, -2, -0.7, -2293, 3/2? -2 Which is the third biggest value? (a) -17/150 (b) -14 (c) -2.37 b Which is the second smallest value? (a) -0.5 (b) 0.3 (c) -512 (d) -1.7 (e) 0.2 (f) -3/5 (g) -20 g What is the fifth smallest value in 1/5, -43, 151, -0.33, -2? 151 What is the third smallest value in 250, 8, -4, 1141/5? 1141/5 What is the smallest value in 0, -1.5, -14817? -14817 What is the fourth biggest value in 2/19, -14, 7.611, -1/18? -14 Which is the fifth smallest value? (a) -66 (b) 2/15 (c) -4 (d) 2 (e) -0.0837 (f) 2.4 d What is the fourth smallest value in -1, 0.009, -4, 28, 6? 6 Which is the fourth smallest value? (a) 4 (b) 4.4 (c) -1/2 (d) -7/3870 b What is the fourth smallest value in 0, 2/585, -309, 5? 5 What is the fifth biggest value in -3, -5, -4, -1, -0.22, -386.3? -5 Which is the second smallest value? (a) 252661 (b) 0.3 (c) 848 c What is the second biggest value in -17, -1/8, -1013.54? -17 Which is the fourth biggest value? (a) -9 (b) -1/4 (c) 49162 (d) -1/2 a Which is the fourth smallest value? (a) 0.2 (b) 1.1 (c) -1 (d) -2/11 (e) -23 (f) -2 (g) 15 d What is the second biggest value in -2/55, -24/5, -0.3, 0.5, -0.1, -2/17, 4? 0.5 What is the sixth biggest value in -0.5, -2/11, -3, 0.04, -2/5, 808? -3 What is the sixth biggest value in 0.01, -2, 5/24, 14, -55/3, 1/7, -0.3? -2 Which is the third biggest value? (a) -3/2 (b) 2/59 (c) 0.11 (d) 3 (e) -20 b What is the fifth biggest value in -684, 9/4, 5, -5, 0.2? -684 Which is the fifth smallest value? (a) -87 (b) 68 (c) 4/95 (d) 1/3 (e) 4 b Which is the smallest value? (a) 1/210 (b) -94 (c) -58 (d) 1/4 b Which is the fifth smallest value? (a) -1/8 (b) -2 (c) -6 (d) 2/3 (e) 0.04 (f) -17 (g) -5/4 a Which is the seventh smallest value? (a) -1/6 (b) 0.3 (c) -2 (d) -1 (e) -144 (f) 0.09249 (g) 1/7 b Which is the sixth biggest value? (a) -475 (b) 7 (c) 1/3 (d) -2 (e) 1/33 (f) 0.4 (g) -3 g Which is the third smallest value? (a) -1/9 (b) -0.1 (c) 152 (d) -1/7 (e) 804 b What is the smallest value in 0.1, -781.6, 21/2? -781.6 Which is the fourth smallest value? (a) -73 (b) 2/11 (c) 3/7 (d) 5 (e) 5.8 (f) -5 c What is the fourth smallest value in -84.26, 3, 1/7, 4/9, 1/165? 4/9 What is the smallest value in 3/2, 0.02, 2/21, -4, 12213, -3/4? -4 Which is the biggest value? (a) -13.8 (b) 158 (c) 108 b Which is the biggest value? (a) -1/13 (b) -11 (c) 745 (d) -0.3 (e) -389 c Which is the second smallest value? (a) 66 (b) 5 (c) -3 (d) -48 (e) -7 e Which is the third smallest value? (a) 0.08 (b) -0.5 (c) -2/273 (d) -2/13 (e) -2/457 c Which is the biggest value? (a) -39/8 (b) -70/3 (c) 0.09 (d) -4/7 (e) 2/7 e Which is the second smallest value? (a) 1/1615 (b) 127 (c) 11/13 c What is the sixth smallest value in -2, 7/3, 0.498, 6, -1/8, 1, 0.6? 7/3 Which is the second biggest value? (a) 0.3 (b) 0.4 (c) -256 (d) 1.5 (e) 0.5 (f) -2 (g) 3 d What is the second smallest value in -1, -523964, 0.06, 6? -1 What is the fourth smallest value in 11, 0.017, 5, -0.06, 28? 11 Which is the seventh biggest value? (a) -5 (b) -505 (c) -2 (d) 0.5 (e) 24 (f) 0 (g) 6 b Which is the third biggest value? (a) 0 (b) -28 (c) 381/7 (d) -1/7 (e) 4 (f) 1/4 (g) 2/9 f Which is the third biggest value? (a) 0.1 (b) 0.01 (c) 145/4 (d) 7/3 (e) -11/30 a What is the second biggest value in -5339, -2, 360, -1? -1 What is the fourth biggest value in -1, 540/11, -1/8, 1, 2/29, -3? -1/8 What is the third smallest value in -1272.5, -0.1, -1/5, 3/7? -0.1 Which is the second smallest value? (a) -22.4 (b) -2 (c) 0.821741 b What is the third biggest value in 1/4, 1473, -0.82, -25/4? -0.82 Which is the biggest value? (a) 2/7 (b) 2208 (c) -17 b What is the biggest value in -2/17, -5, -4/5, 2/35, 1/46? 2/35 What is the third biggest value in -0.49, -1.9, -1/3, 0.6, -244, 2? -1/3 Which is the third smallest value? (a) 2007 (b) 15/46 (c) -1/3 (d) -4 b What is the fifth smallest value in 3/4, -1/4, -1/5, 22, 22191? 22191 Which is the biggest value? (a) -0.4 (b) 25 (c) -393 (d) 1/3 (e) -2/9 (f) 0.3 (g) 1 b What is the fourth smallest val
{ "pile_set_name": "DM Mathematics" }
32344.3915 + 5429270. Let r = -3098.4 - b. Let f = r - -24. What is f rounded to three decimal places? -0.009 Let r(c) = -5*c + 2*c + 3 - 5*c + 4*c + c**2. Let a be r(2). Let t(y) = 81001*y**2 + 2*y + 1. Let d be t(a). Round d to the nearest ten thousand. 80000 Let w = -20.56 - -21. Round w to one decimal place. 0.4 Let z = -329.3 - -275. Let l = z - -58. Round l to zero decimal places. 4 Let j = -17.09 - -17. Round j to two decimal places. -0.09 Let s(t) = -t**2 + 7*t. Let u be s(6). Let h be (-2 + 16/u)*-495. Round h to the nearest one hundred. -300 Let o = -0.14 - 12.86. Let d = -13.00003 - o. Round d to 5 dps. -0.00003 Let c be 4/(-3)*(-6)/4. Let u(q) be the second derivative of -1000*q**5 + q**4/12 - q**3/3 + q. Let x be u(c). What is x rounded to the nearest 100000? -200000 Suppose -2382 - 2330 = -4*f. Let z = 1288 + -710. Let y = z - f. What is y rounded to the nearest 100? -600 Let g = 55.0000039 + -55. Round g to six dps. 0.000004 Let z(n) = -879*n**2 + 6*n - 7. Suppose 1 = 4*c - 11. Let h be z(c). What is h rounded to the nearest 1000? -8000 Let m(a) be the second derivative of -749999*a**3/6 - 5*a**2 + a. Let k be m(10). What is k rounded to the nearest 1000000? -8000000 Let w = 185 - 290. Let y = w + 104.98669. Let h = y + 0.013. Round h to 4 dps. -0.0003 Let c = 221873 + -421873. What is c rounded to the nearest one hundred thousand? -200000 Let o = -148153518046 + 148153340981.700142. Let y = 177064 + o. Let d = y - -0.3. Round d to 5 decimal places. 0.00014 Let o = -154082541.000101 - -154082608. Let p = 0.144 - -66.856. Let d = o - p. Round d to 5 dps. -0.0001 Let s be -10*(8/(-10))/(-2). Let d be 1 + (2 - 2) - s. Suppose d*k = -3*f + 9, 9 = -k - 4*k + 3*f. What is k rounded to two dps? 0 Let w = 21.7 + -21.700436. Round w to four decimal places. -0.0004 Let z(f) = 165*f - 9. Let v be z(-8). Let l = v - -2389. What is l rounded to the nearest one hundred? 1100 Let j = 156.999937 - 157. Round j to 5 dps. -0.00006 Suppose -5*i = -2*d + 10, -1 = 5*d + i + 1. Suppose j + d*j - 2*o - 27004 = 0, 0 = 4*j - 3*o - 108006. What is j rounded to the nearest 1000? 27000 Let k = 12645 + -12645.02000005. Let g = -0.02 - k. Round g to 7 decimal places. 0.0000001 Suppose -4*m + 2 = 10. Let s(l) = -3701*l + 7 + 4 + 5 - 18. Let o be s(m). What is o rounded to the nearest 1000? 7000 Let r = -0.007 + 1.657. Round r to one decimal place. 1.7 Let g = -203.7815404 - -35.7814394. Let y = -0.92 + 168.92. Let i = y + g. What is i rounded to 5 dps? -0.0001 Let s be (-2 - -480) + -4 + 4. Round s to the nearest ten. 480 Suppose 0 = 4*i - 2*i - 322. Let d be (-1 + i)/((-5)/(-5)). Round d to the nearest one hundred. 200 Let k = 51.9959 + -52. Round k to 3 dps. -0.004 Let t = 0.067014 - 0.067. What is t rounded to 5 dps? 0.00001 Let j be 3/(-6) - 7/(-2). Let b be 6/(-2) - (j + 29994). Round b to the nearest 100000. 0 Let c = 0.2600047 + -0.26. Round c to six decimal places. 0.000005 Let o = -0.25 + -8.35. Round o to zero dps. -9 Let x(y) = 4*y - 28. Let l be x(7). Let j = 1342927 - 682927. Suppose -j = t - l*t. Round t to the nearest one hundred thousand. -700000 Let p = -1.29 - -0.6. Let w = 2.9401 - 2.253. Let n = w + p. What is n rounded to three dps? -0.003 Let k = 304.00000157 + -304. Round k to 7 dps. 0.0000016 Let u(q) = -q**2 + 6. Let d be u(0). Suppose n + d = y, -3*y + 3 = 5*n - 31. Let g be (-3200)/y*5*-1550. What is g rounded to the nearest 1000000? 3000000 Let h be 1 + (-42)/35 + (-5762)/(-10). Round h to the nearest 100. 600 Let s = -3 - 2. Let v = s - -5.05. Let d = v + -0.09. Round d to 1 decimal place. 0 Let b(g) = -g**3 + 21*g**2 - 18*g + 20. Let k be b(25). What is k rounded to the nearest one hundred? -2900 Let g(n) = 16*n + 5. Let x be g(-4). Let f = x - -123. Let w = f - 119. Round w to the nearest ten. -60 Let o = -12 - -27. Suppose 2*v + o = 5*v. Let i(u) = -16800*u**3 - u**2 + 5*u. Let n be i(v). What is n rounded to the nearest one million? -2000000 Let b = -9624 - -15924. What is b rounded to the nearest one thousand? 6000 Let o = 401.000446 + -401. Round o to 5 dps. 0.00045 Let o = -2.3 - 8.7. Let v = o + 11.0005. What is v rounded to three decimal places? 0.001 Suppose 2*w = -4, 5*w = -2*h + 3*h - 13. Suppose 0*r + 6 = h*r, 5*r = 2*q + 6. Suppose -4*m = -q*m. Round m to the nearest 100000. 0 Let c = 0.5 - 0.18. Round c to 1 dp. 0.3 Let n(l) = -4*l**2 - 7*l + 13. Let b(y) = 9*y**2 + 14*y - 25. Let j(m) = -3*b(m) - 7*n(m). Let r be j(-11). What is r rounded to the nearest 10? 30 Suppose -37936 - 103464 = 7*y. Round y to the nearest one thousand. -20000 Let k = -289890777655004227.99999906 - -289890769072532155. Let x = k + 8582472146. Let a = x + -73. Round a to 7 decimal places. 0.0000009 Suppose -b = -3, 0 = -v - 5*b + 451 + 1204. Round v to the nearest one hundred. 1600 Suppose 0 = 6*f - 2*f + 320000. Round f to the nearest 10000. -80000 Let c = 362 - 362.00000157. Round c to 7 dps. -0.0000016 Let o = 0.03299845 + -0.033. Round o to 7 dps. -0.0000016 Let c = -694720 + 11894719. Let k be c - (2 + -1 + -2). What is k rounded to the nearest one million? 11000000 Let f = 0.00713 + -3.09013. Let h = 2.4 + 0.7. Let g = f + h. Round g to three decimal places. 0.017 Suppose r = -2*r - 6. Let p be (-1758)/2*r/2. Suppose b = 4*b + 4*d + 2644, d - p = b. Round b to the nearest 100. -900 Let j = 1549848 - -15850152. Round j to the nearest 1000000. 17000000 Let v = 291 - 169. Let o = 81 - v. Let t = -40.877 - o. Round t to 2 decimal places. 0.12 Let n = 8.024783284 + -0.024783364. Let m = 8 - n. Round m to 7 dps. 0.0000001 Let x(y) = -17*y**2 - 11*y - 5. Let o be x(-7). Let d = 321 + o. What is d rounded to the nearest one hundred? -400 Suppose 3*c = 3*j - 312, -j - j + 202 = c. Suppose j = a + 11. What is a rounded to the nearest ten? 90 Let f = 40.6 - 35. Let z = f - 5.59959. What is z rounded to 4 dps? 0.0004 Let b = -430 + 430.177. Let z = b - 0.17. What is z rounded to 2 decimal places? 0.01 Let t = 124 - 123.9136. What is t rounded to two decimal places? 0.09 Let i = 0.26 - 0.260226. What is i rounded to five decimal places? -0.00023 Let g = 103 + -717. Let n = -580.3 - g. Let x = n + -28. What is x rounded to the nearest integer? 6 Let o = -7.7 - -7.70066. What is o rounded to 4 decimal places? 0.0007 Suppose -16*o - 133 = -17*o. What is o rounded to the nearest 10? 130 Let i = -55634 - -197394. Let h = i - 61760. What is h rounded to the nearest ten thousand? 80000 Let v(p) = -18*p**3 + p**2 - 7*p - 8. Let n be v(6). Let l = n - -1872. Round l to the nearest one hundred. -2000 Let k = 118 + -117.99999395. Round k to six dps. 0.000006 Let c = 101.547129 - 94.54712988. Let t = 7 - c. What is t rounded to 7 decimal places? 0.0000009 Let j = 17266 + -8982. Let l = -615 - j. Let s = 15199 + l. What is s rounded to the nearest one thousand? 6000 Let s = -68.000027 + 68. What is s rounded to five dps? -0.00003 Let t = 1983.26 - 1976.91026. Let f = 6.491 - t. Let w = -0.14 + f. What is w rounded to 4 dps? 0.0013 Let r = -120590.99899938 - -120595.799. Let a = 23.8 - 19. Let g = a - r. Round g to seven dps. -0.0000006 Let h be 2/(-1 + -2 + 2). Let r be ((-44)/(-3) - h)*132. What is r rounded to the nearest 1000? 2000 Let c = -0.3 + 1.3. Let d = 167.385346 - 168.38534601. Let o = d + c. Round o to 7 dps. 0 Let k(c) = -c**2 - 13*c + 19. Let a be k(-15). What is a rounded to the nearest 10? -10 Let l = 0.35 + -0.2. Let u = -0.14999943 + l. Round u to seven dps. 0.0000006 Let s(r) = -r**3 - 13*r**2 + 14*r + 7. Let j be s(-14). Suppose 47 = -3*z - j. What is z rounded to the nearest ten? -20 Let w = -20.95 - 0.05. Let a = 5483953.999964 - 5483933. Let r = a + w. Round r to 5 decimal places. -0.00004 Suppose 2*q - 11507 = 6293. What is q rounded to the nearest 1000? 9000 Let h = -48.6 - -32. What is h rounded to the nearest integer? -17 Let x = -2 + 1.5. Let d = 225 + -225.494. Let m = x - d. Round m to two decimal places. -0.01 Let h = 665097.517109 + -665096. Let u = 2.5171062 - h. Let o = 1 - u. What is o rounded to 6 decimal places? 0.000003 Suppose -5*b + 4*b = -5. Suppose -b*g - 4*o = 4296, 0 = -g + 2*g + o + 859. What is g rounded to the nearest one hundred? -900 Let a = -331 + 330.999807. What is a rounded to 5 decimal places? -0.00019 L
{ "pile_set_name": "DM Mathematics" }
- 3*v + j*t + 12 = 0. List the prime factors of v. 3 Suppose h = -g + 9902, 27022 + 2652 = 3*g - h. List the prime factors of g. 2, 3, 17, 97 Let j = -8953 - -35829. List the prime factors of j. 2, 6719 Suppose 43*c - 530*c + 23726800 = 88*c. What are the prime factors of c? 2, 2579 What are the prime factors of (6 - (10 - -6))/((-2)/(-3628)*-2)? 2, 5, 907 Suppose 9*s = 7*s + 2622. Suppose -4*x + 8*x = 5*z - 1649, -4*z = 5*x - s. List the prime factors of z. 7, 47 Suppose 0 = 7*i - 22 - 251. Let o = -49 + i. List the prime factors of (5 - 23)/(3/o). 2, 3, 5 Let v(h) = -149*h + 471. What are the prime factors of v(-45)? 2, 3, 13, 23 Suppose -3*x + 32 = x. Suppose x = m + 3*m. What are the prime factors of (-104 - -2)*(-1)/m? 3, 17 Let s(x) = 49*x**2 + 15*x + 1. Let n be s(3). Let h(q) = q**3 + 5*q**2 + 2*q - 1. Let i be h(5). Let j = n - i. What are the prime factors of j? 2, 3, 19 Suppose -13006 = -4*o - 3*p, 3256 = 20*o - 19*o + 3*p. What are the prime factors of o? 2, 5, 13 Suppose -11 = 3*u - 2. Let w be 0 + u - -35 - 0. Let h = w + -5. List the prime factors of h. 3 Let m(a) = -a**3 + a**2 - 2*a - 2. Let f be m(-1). Suppose -j - f*h - 5 = 0, -5*j - 3*h = -h - 15. List the prime factors of 34 - (-1 + j - (6 - 2)). 2, 17 Suppose -4550 - 2029 = 9*j. Let x = -533 - j. List the prime factors of x. 2, 3, 11 Suppose -4*n - 12 = 0, 0*s + 54 = 4*s - 2*n. Suppose s*u = 15*u - 2658. What are the prime factors of (20/(-25))/(u/(-295) + 3)? 2, 59 What are the prime factors of -3 - 7/(-1)*(13 - (-11160)/10)? 2, 5, 79 List the prime factors of (14630 - (20 - 13))/(5/(7 - 2)). 7, 2089 Suppose 0 = 6*u - 13*u - 7. List the prime factors of u/(-5) + 270335/325. 2, 13 Let f(a) = -118*a + 4115. List the prime factors of f(-135). 5, 19, 211 Suppose -147 + 83 = -4*u. Suppose 0 = -u*s + 7*s + 891. List the prime factors of s. 3, 11 Let b be (2 - (-6)/2) + -375. What are the prime factors of ((-74)/b)/(1/185)? 37 Suppose -9526 - 31635 + 11285 = -2*y. What are the prime factors of y? 2, 7, 11, 97 Suppose 3*k = 5*k. What are the prime factors of (-12 - (1 + k))*-13? 13 Let z(d) = -d**2 + 12*d - 15. Let r be z(10). Suppose -r*i + 11 = -2989. What are the prime factors of i? 2, 3, 5 Suppose 292*b - 289*b = -1515. Let c = b - -1114. List the prime factors of c. 3, 7, 29 Let u(c) = 94*c**2 - 162*c + 1408. List the prime factors of u(10). 2, 2297 Suppose -117 - 4839 = -12*m. Let s = m - -93. What are the prime factors of s? 2, 11, 23 Let z(y) = y. Let q be z(5). Let n = q + -2. Suppose -n*m = -2*o + 22, o - 3*m - 7 = -2. List the prime factors of o. 17 Let c(h) = 9*h**2 - 3*h + 1934. List the prime factors of c(-41). 2, 13, 661 Suppose 2*f - 11*s + 7*s - 692 = 0, f = -2*s + 326. Suppose -5*c = -8*c + 708. Let h = f - c. What are the prime factors of h? 2, 5 Let m(o) = -52*o + 122. List the prime factors of m(-21). 2, 607 Suppose -3*w = -3*j - 7422, j + 7432 = -180*w + 183*w. What are the prime factors of w? 37, 67 Suppose 49*x - 25*x = 120. List the prime factors of -4*((1 - x) + -49). 2, 53 Suppose w - 7 = -2*q, 2*q = 7*q - 2*w - 13. Suppose 4*s - 1789 = -3*i, 5*s + q*i = -2*i + 2240. Suppose 3*n + s = 8*n. List the prime factors of n. 89 Let i be 1467/((-9)/18 - -2). Suppose 10*j - 8*j + 2*r - i = 0, -5*j + 2439 = -r. What are the prime factors of j? 2, 61 Let y = 8578 - -5450. List the prime factors of y. 2, 3, 7, 167 Let b(l) = 1887*l - 213. List the prime factors of b(7). 2, 3, 19 Suppose -4*h = h + 4*k - 1, 0 = 5*h - k - 6. List the prime factors of 0 - (-19 + -238 - (1 + h)). 7, 37 Let a(p) = -p - 3. Let m be a(-7). Suppose -q = 4*o + 24, 3*o - 10 = m*q - 3*q. What are the prime factors of (q/6)/((-10)/15)? 2 Let y = -5476 - -5478. List the prime factors of y. 2 Suppose -32*a - 20 = -36*a. Let b = a + 175. What are the prime factors of b? 2, 3, 5 Let r = -22012 - -35058. List the prime factors of r. 2, 11, 593 Let m(r) = 11*r**2 + 31*r + 162. What are the prime factors of m(19)? 2, 3, 787 Let k be 22/(-33)*-15*(-1)/2. Let o be (-6)/(((-15)/(-2))/k). Suppose -4*a + m + 174 = -5, -o*m - 144 = -3*a. What are the prime factors of a? 2, 11 Let f = 115249 + -80356. What are the prime factors of f? 3, 3877 Suppose 2*q = -3*y + 9284, -4*q + 0*y + 18600 = -2*y. List the prime factors of q. 2, 7, 83 Let r(w) = 5*w**3 - 19*w**2 + 18*w - 559. What are the prime factors of r(25)? 3, 7349 What are the prime factors of 4/(-3)*(3 + (-201399)/34)? 2, 3947 Suppose 4*n - 199 = 3*n. Suppose -2*r - 201 = n. List the prime factors of ((-4)/5)/(5 + 1005/r). 2 Suppose -7*f + 2*f + 1980 = 0. Suppose 5*v = -121 + f. Let n = v - -56. What are the prime factors of n? 3, 37 Suppose -2*f + 3*q = -3 + 12, q - 3 = 0. Suppose 5*j - 403 - 6322 = f. What are the prime factors of j? 5, 269 Let w = 58059 + -31123. List the prime factors of w. 2, 7, 13, 37 What are the prime factors of ((-56)/12 - -3) + 6977372/138? 3, 19, 887 Suppose -3*y + 2*j = 7, 2*y - j = -0 - 5. Let r(g) = -68*g - 1. Let a be r(y). Suppose -2*l = -4*l - 2, a = 2*k + l. List the prime factors of k. 2, 3, 17 Let w(b) = 123*b + 1879. What are the prime factors of w(8)? 7, 409 Let w = -30 + 25. Let p(k) = -13*k - 4. List the prime factors of p(w). 61 Let t(d) = -487*d + 10503. What are the prime factors of t(0)? 3, 389 Suppose 3*p = 5*l + 4490, p - 316 = -2*l + 1199. Suppose -5*t + p = -0*t. What are the prime factors of t? 7, 43 Let g(k) = -2*k + 4. Let v be g(0). Suppose 0 = -v*p - 0*p. Suppose 9*f - 402 + 51 = p. List the prime factors of f. 3, 13 Suppose v - 289*t = -284*t + 47948, 4*v - 191918 = -t. What are the prime factors of v? 2, 7, 23, 149 Suppose 0 = q + 3*c - 461, 1855 = 3*q + 5*c + 492. Suppose 2*n = q - 146. Suppose 3*y = -3*t + 6*y + n, -40 = -t + 3*y. List the prime factors of t. 5, 11 Let g = 1885 + -938. Let q = g + -556. What are the prime factors of q? 17, 23 Let j(z) = -2*z**3 + 12*z**2 + 3*z + 1. Let x be j(6). Let r = -5 + x. Suppose 0 = 2*l + r - 56. What are the prime factors of l? 3, 7 Let v(g) = -g**3 - 8*g**2 + 19*g - 6. Let x be v(-10). Suppose -773 = -x*o - 13. Suppose -o = 10*c - 12*c. List the prime factors of c. 5, 19 Suppose -2679 = 3*f - 8475. Suppose 40*x - 34*x = f. What are the prime factors of x? 2, 7, 23 List the prime factors of (156/(-18) - -10)/((-6)/(-4149)). 2, 461 Let l(r) = 25979*r + 485. What are the prime factors of l(1)? 2, 827 Suppose t + 40 = 3*d + 4137, 3*t - 2736 = 2*d. Let z = -708 - d. What are the prime factors of z? 3, 73 Let o = 20035 + -11913. List the prime factors of o. 2, 31, 131 Suppose 1081 - 9784 = -4*o + x, -3*x + 4369 = 2*o. Suppose 6*q - 8*q + 5*d + 1099 = 0, -3*d = -4*q + o. List the prime factors of q. 2, 271 Let q(m) = -m**3 + 6*m**2 - 3*m - 5. Let n = -126 - -131. What are the prime factors of q(n)? 5 Let s be (-299)/(-11) + 2 + (-14)/77. List the prime factors of (82 - s)*2/(-3)*-3. 2, 53 Let k = 61228 + -25506. List the prime factors of k. 2, 53, 337 Suppose 0 = -d + 2, -2*n + d = -d + 12. Let u be (-4 - -4) + n/(-2) + 2. Suppose -4*s + 264 = v - 252, -s - u*v + 144 = 0. What are the prime factors of s? 2 Let a(p) = -2*p - 1 + 2*p - 13*p + 8*p**2 - 13*p. What are the prime factors of a(-5)? 7, 47 Let s = 154 - 152. Suppose -s*o + 420 = -0*o. List the prime factors of o. 2, 3, 5, 7 Let d(y) = -479*y - 41. Let b be d(-4). Suppose 1128*o - 1123*o - b = 0. What are the prime factors of o? 3, 5 Let v = 65888 + -34479. What are the prime factors of v? 7, 641 Let i = 5 - -1819. Suppose 0 = -u + 5*u - 12, 3*m - u = i. List the prime factors of m. 3, 7, 29 Suppose 6*g = -18, -447*p - 4562 = -448*p - 2*g. What are the prime factors of p? 2, 571 Let s(u) = 186*u**2 + 5*u - 18. Let v be s(5). Let h = v + -3244. List the prime factors of h. 3, 157 Let y(t) = t**3 + 2*t**2 + 2*t + 12. Let j be y(0). Let x(q) = q - 9 + j - 20 + 6*q. List the prime factors of x(17). 2, 3, 17 Let p(z) = z**3 - 15*z**2 + 84*z + 14. List the prime factors of p(17). 2, 5, 101 Let n be (4 + 1720/3)*(-6)/(-4). Suppose -7*o = n + 2942. List the prime factors of ((-1)/2)/(16/o). 17 Suppose -3*z - 12 = 0, -u - 4*z - 24 = u. What are the prime factors of 440*(u - (-27)/6)? 2, 5, 11 Suppose -5*f = -f - 2*f. Suppose -3*v + v - 12 = f. List the prime factors of 1071/6 + v/(-12). 179 Suppose -3*g -
{ "pile_set_name": "DM Mathematics" }
)). Solve -2*p - 3*z = -8, 4*p - 2 = -3*z + m for p. -2 Let w(p) = -p**3 - 5*p**2 + 7*p + 9. Let f be w(-6). Let j be 0*(-1)/(-2)*1. Suppose -2*v + j*v + 4 = 0. Solve v*y + 2*c = -8, 0 = -f*c + 3 for y. -5 Let a be (-1 + -14)/(-5) - 3. Solve -3*v + a*v = 0, -3*v - 16 = -4*b for b. 4 Let f be (-6)/(-4) - 1/(-2). Solve -2*a + 2*n = -0*a, -3*n = -2*a + f for a. -2 Let f be ((-20)/12 - -1)*-6. Solve 0 = -3*q + 4*h + 8, 2*q - 8 = -0*h + f*h for q. 0 Suppose -2*u + 6 + 20 = 0. Let l = u - 2. Suppose 9 = 5*i - l. Solve 0 = 2*x - 6, -3*x + i*x = 3*b - 9 for b. 4 Let u(d) = -3*d - 1. Let x = 5 - 7. Let y be u(x). Suppose -2*m + 1 = -3. Solve 1 = m*p + f + 2, -y*p - 25 = -5*f for p. -2 Let n be -11*(-1 - 6/(-3)). Let m = -7 - n. Solve 5*w + 6 = 4*v - 7, m = 2*v - 2*w for v. -3 Let w(v) = v - 9. Let y be w(12). Suppose q + 2*i - 14 = 0, -3*i + 2*i = q - 9. Solve -3*j - 4 = q*f, y*f = 3*j + 2*j - 32 for f. -4 Let v = -15 - -22. Solve c = -3, 3*u - v*c + 2*c - 12 = 0 for u. -1 Let t = -12 + 15. Solve -2*y - 5*p - 10 = -0*y, t*p + 6 = 2*y for y. 0 Suppose 0 = -3*g + 3*u + 6, 8 = g + 3*g + 5*u. Solve 5*x = 15, 3 = -g*o + 3*x - 10 for o. -2 Let x(f) = f**3 + 9*f**2 + 8*f + 3. Let s be (11/(-22))/((-1)/(-16)). Let d be x(s). Solve 4*l + 29 = 4*b + l, 0 = d*l + 9 for b. 5 Suppose 0 = -5*h - z + 50, 2*h + 5*z - 34 = h. Solve 3*w = 3*v, 4*w + 5*v + 0*v = -h for w. -1 Let j be (-2 - 0)*(-7 + 6). Solve 5*c - 3 = j*n - 21, 2*n = c + 10 for n. 4 Let q be 5/(-1) + 2 - (-14 + 11). Let w = 2 - 1. Suppose 10 + w = m. Solve q = -4*u - 2*d - 14, 3*u + 3*d = 2*d - m for u. -4 Suppose 2*b - 6*b = 160. Let w = b + 75. Let a = -24 + w. Solve -x - 16 = 5*d - d, 3*d - 5*x - a = 0 for d. -3 Let y(o) = o**2 - 7*o - 7. Let d be y(8). Suppose d = m - 5. Let r(q) = q**2 - 3*q - 3. Let j be r(m). Solve 2*h = 0, -v + j = 2*v - h for v. 5 Suppose 0 = -2*z - 2, -6*b = -2*b + 3*z - 49. Suppose d + 3*t + b = 3*d, d - 8 = 2*t. Solve -d*c = -4, 2*o = -4*c + 1 + 3 for o. -2 Suppose -2*s + 4 = -s. Solve -s*y + 3*l + 12 = 4, -l = -4*y for y. -1 Suppose 3*p + 2*w = 6, 10 = -3*p + 8*p + 5*w. Let f be 9/7 + 2/(-7). Solve -p = u - 0*z - z, -2*u + f = 3*z for u. -1 Let w = -31 + 36. Solve u - 3*g + 1 = 10, w*u + 5*g = 5 for u. 3 Suppose 5*b - b = -2*d - 4, 2*b - 2 = d. Suppose 3*g + g = 3*p - 24, 0 = -3*p - 4*g + 48. Solve p = f - 5*v, 2*f - 2 = -v - b for f. 2 Let x be (-5 - (-1 + -1)) + -17. Let h be (56/x)/(4/(-10)). Solve 2*f + 2 = -v - 1, 3*f + 2*v = -h for f. 1 Let r be (-1 - -1)*3/9. Suppose 4*a = -r*a - 3*q + 93, -4*q = -5*a + 93. Solve -2*n = 3*n - m + a, -20 = 5*m for n. -5 Suppose -10*t + 7 = -13. Solve 2*r + 1 = 5*y - 11, 4*r = -t*y + 24 for y. 4 Suppose 13 = 2*c - 17. Solve -2*r + 18 = 3*a - 6*r, -3*r = -3*a + c for a. 2 Let q = -119 + 123. Solve q*o + c = -0*c - 19, 2*c = -2*o - 14 for o. -4 Suppose 14 = 5*y - 16. Let s = y + -6. Solve s*o + 3*g - 3 = 2*o, 0 = 5*o - 3*g + 3 for o. 0 Let u be (-2 - -5) + -4 + 1. Suppose u = -i + 4, 2*m + i - 2 = 2*i. Solve 6*p = p - o + 19, -3*p = -m*o + 3 for p. 3 Suppose -i - 3 = -7. Solve -i*f = 4*g - 8, 0*g - 6 = -3*g + 3*f for g. 2 Suppose -5*f + 4*p = -26, 3*f = -f + 4*p + 24. Solve 5*s - f*l + 24 = -4*l, -s = -5*l - 6 for s. -4 Let p(f) = f**3 - 10*f**2 - f + 12. Let q be p(10). Let i = q - -1. Suppose -2 = -3*r + 4. Solve 6*c - i*c + 12 = -3*b, 17 = r*c - 3*b for c. 1 Suppose 24*v - 15 = 19*v. Solve -4*r - v*x = -2*x + 11, -5*r - 2*x - 16 = 0 for r. -2 Suppose -4*i - 3*g = -5, 2*g = i - 5 - 10. Solve i*w = -5*d, 3*d - 4*w = d for d. 0 Let x be 3*(-3 - (3 + -11)). Let u = -2 + 5. Let r = u - 1. Solve o + 3 = -a, r*a - 7*o = -2*o + x for a. 0 Suppose 0 = -0*d - 3*d + 9. Let u(y) = y**2 - 3*y. Let g be u(d). Solve g = -4*v - m - 1 - 13, -12 = 4*v + 2*m for v. -4 Suppose -4*b = -3*b - 8. Let h be (b/12)/((-2)/(-6)). Solve -5 = i, i - 10 = -h*k + 5*i for k. -5 Suppose -4*w = -8 - 0. Let d be (-123)/(-6) - w/4. Solve b - 3*b + 2 = 2*s, 0 = 5*b + d for s. 5 Suppose -2*k - 12 = -4*a, -4*a + 7 + 7 = -k. Solve -f - 3*n = -2*f, a*f + 4*n = 0 for f. 0 Let h be (-14)/4*128/(-112). Solve h*a + 4 = -4*l - 0, -5*l = -3*a - 3 for a. -1 Let x(v) = v**2 + 4*v + 4. Suppose 0*f + 4 = -f. Let r be x(f). Let l = -2 + r. Solve 0*c = -4*u + c + 20, -c = -l*u + 10 for u. 5 Let h = 7 + -5. Suppose 0*z - 5*z + 90 = 0. Let v = z + -13. Solve p = v*f - 20, 0 = f - 3*p - h*p - 28 for f. 3 Suppose -5*g + 5 = 2*f + 3*f, 3*g = -f - 7. Suppose -f*p + 4*n + 7 = -7, -5*n = p + 3. Solve p*q = -3*j - 7, -3*q + 3 = -0 for j. -3 Let d = 15 + -13. Solve 2 = -d*x + 2*k - 5*k, k + 2 = -2*x for x. -1 Suppose o = 8*o - 21. Solve -o*u = -c + 7, 0*c - 3*u = -5*c - 13 for c. -5 Suppose -t = -5*t - 5*u - 36, -4*t = 2*u + 36. Let c = -4 - t. Solve -c = y + 5*d, 4*y + 4*d = -4 - 16 for y. -5 Let q(h) = -h**3 + 3*h**2 + 3*h + 6. Let n be q(4). Solve 24 = 5*w + l - n, 5*w - l = 24 for w. 5 Let z be (-2)/(-8) + 38/8. Let v(a) = -a**3 + 6*a**2 - 5*a - 2. Let n be v(4). Suppose k + 4*k = n. Solve s = r - k*s + 1, -3*r = z*s + 17 for r. -4 Let a be (1 - (1 + 1))*-5. Solve -a*o + 4*z = -16, 0*o + 20 = -3*o - 5*z for o. 0 Suppose -4*b + 0*b = -20. Let y = 9 + -5. Let w = -45 - -50. Solve 0 = 2*v - 7*v + w*h - 25, y*v + h = -b for v. -2 Let k(p) = -5*p**2 + 12*p - 25. Let n(m) = m**2 - 3*m + 6. Let c(w) = -2*k(w) - 9*n(w). Let l be c(-5). Solve 5*f - 16 = 3*j, l*j - 2*j - 3*f = -14 for j. -2 Let m(t) = t**2 - 3*t - 9. Let r be m(5). Solve s - r = 3*d - 12, d - 13 = 5*s for s. -2 Let p(d) = -7*d**2 - 6*d + 7. Let w(b) = b**2 - b. Let h(u) = -p(u) - 6*w(u). Let x be h(-14). Solve -l + x = -0*z + 4*z, -5*l + 17 = -2*z for l. 5 Let a be 13/(-4) + 3/12. Let i = a - -4. Let l be (i - 2) + (0 - -3). Solve -5*d + z - 14 = 0, l + 0 = -2*z for d. -3 Let b(c) = -5*c - 1. Let g be b(1). Let q(o) = o**2 + 4*o - 8. Let l be q(g). Suppose -y + 32 = l. Solve 0 = -4*p - a + 1 - 5, -5*a = -4*p - y for p. -2 Suppose -3*t = -2*t - 5, 5*u = 3*t - 40. Let p = u - -8. Solve 4*j - j - 6 = p*o, 3*j - 22 = -5*o for j. 4 Suppose 3*p - 1 = 5. Solve p*m + 3*x + 16 = 0, -m + 4*x - 8 = -22 for m. -2 Let i(j) = j**2 + 4*j. Let w be i(-5). Solve w*x + 4 = 4*q - q, -5*q = 2*x - 17 for q. 3 Let z be (-486)/(-72)*8/6. Solve 5*x + 3*f - 2*f + 15 = 0, -3*x = -2*f + z for x. -3 Let b(r) = r**2 - 12*r - 15. Let q be b(14). Suppose 0*u + 2*u - 8 = 0. Suppose 3*s - u*s = -4. Solve 3*c - o + s = 0, 4*o + q = -c + 2*o for c. -3 Suppose 4*f - 2*t = 14, 0 = -3*f + 4*t - 7 + 25. Solve 0 = -i - 4, f*y = 2*i - 6*i - 26 for y. -5 Let y be -1 + 1/((-3)/(-87)). Suppose -5*a - w = -y, -2 = 3*w - 11. Solve 5*t + 3*j = 5, -2*j + 6*j = -5*t + a for t. 1 Suppose -18 = -4*i + 6. Let l = 9 - i. Solve p - 1 = -m - 0, -4*p = -l*m - 11 for m. -1 Let o(v) = -v**3 + 22*v**2 + 23*v + 2. Let k be o(23). Solve -y - y - k*q + 2 = 0, 5*y - 29 = q for y. 5 Suppose -4*a + 4*n + 18 = -n, -4*n - 8 = 0. Let q be 2/a*(12 + 1). Solve 3*k + 18 = -p + 4*p, 3*k - 2*p = -q for k. -1 Let a(f) = f**2 + 3*f - 7. Let w be a(5). Let v = -55 + w. Let h = v + 44. Solve 3*l - x - 12 = -28, 3*x = -5*l - h for l. -5 Suppose 3*i - 1 = 5. Suppose -7*c + i*c + 65 = 0. Solve -2*p - 7 = -f - 0*p, 5*f + 2*p + c = 0 for f. -1 Let l(y) = y**3 + 8*y**2 + 1. Let h be l(-8). Let q be (0 + 0/h)/(-2). Solve -4*u + 4*d + 12 = -3*u, q = 2*u + 3*d - 2 for u. 4 Let l = -12 + 15. Solve 2*y - 3 = r, -r + l*r - 30 = -5*y for r. 5 Suppose 48 = 4*z - 20. Solve 5*b + z = -t, -3*t + 0*b + 5*b = -29 for t. 3 Let w be (-4)/10 + 134/10. Let v = 19 - w. Solve -g = -v*r + r - 10, g + 2*r = 3 for g. 5 Let v be 9*(-1 - (-4)/3). Let j be 10 - (3/v + -2). Let s = 137 - 126. Solve -c + 0*c - j = -2*z, -4*c - s = 3*z for c. -5 Let t(y) = 4*y - 16. Let g(u) = -u + 3. Let s(h) = 11*g(h) + 2*t(h). Let o be ((-4)/(-4) + 0)/(-1). Let d be s(o). Solve 0 = d*q + 4*f, -q + 6*q + 18 = f for q. -3 Suppose 4*r = z - 5*z + 20, -5*r = -2*z + 31. Solve f = -f - 4*x + 8, 5*f = -4*x + z for f. 0 Suppose -2*g - 5 + 27 = 0. Let p = g + -9. Suppose 2*u - u - 13 = -p*o, -o + 5*u - 10 = 0. Solve h - o*s = 2*h + 17, 0 = -5*h + 3*s + 27 for h. 3 Let d = 16 - 14. Suppose -4*n = -d*n - 10. Solve n*t - 13 = 4*i, -4 + 15 = -4*i + 3*t for i. -2 Suppose 11 = -4*o + 23. Solve o*s = 2*u - 17, -4*u + 11 = -4*s - 13 for u. 1 Let g(q) be the first derivati
{ "pile_set_name": "DM Mathematics" }
, -0.1, 1/4? -0.1 Let r = 6.4 - 6. Let f = -2.7 + 2. Let i = f - -0.6. Which is the nearest to 0.1? (a) -5 (b) r (c) i c Let k = 0.624 + 0.076. Which is the nearest to k? (a) 3/5 (b) -0.3 (c) 0.5 a Let a(d) = d**2 + 9*d + 16. Let i be a(-5). What is the nearest to 1 in i, -0.1, 3/5? 3/5 Suppose -3*a + 3*s = -18, 7*a = 3*a + 5*s + 29. Let p be -4*(-1)/(0 - -1). Let j = p + -3. What is the nearest to j in -3, a, 0? a Let o be (4/(-27))/((-4)/6). Let p = -2 - -9/4. Which is the closest to p? (a) 0.4 (b) -1/2 (c) o c Let m be 0/2 + (-4)/(-46). Let h = -14 - -17. Let n = 2.6 - 3. Which is the nearest to 0.1? (a) m (b) h (c) n a Suppose -v - 8 = -3*v. Suppose -p + v*y = -y + 12, 5*p + y - 18 = 0. Which is the nearest to -1? (a) p (b) 2 (c) 0 c Let t = -2.2 - -1.8. Which is the closest to -0.2? (a) t (b) 1 (c) -0.3 c Let w = 195 + -1367/7. What is the nearest to 0.1 in -2, 0.04, w? 0.04 Suppose 30 = 2*m + 14. Suppose -2*v = -d + 1 + 3, -2*v = -3*d + m. What is the closest to v in 0, -4, 0.3? 0 Suppose -5*p - 17 = 3. Let s = 2 - p. Let q be 3/s - (-2)/(-4). Which is the closest to 1? (a) 4 (b) -3 (c) q c Suppose -f + 1 = -p, f + 4*p - p + 3 = 0. Which is the nearest to f? (a) -1/2 (b) 2/3 (c) -1 a Let x = -44.5 + 44. Which is the nearest to 1? (a) -4 (b) -0.2 (c) x b Let m = -15 + 19. Let b = -6914/19 + 364. What is the closest to b in m, -3, -3/7? -3/7 Let b = -1 + 0.7. Suppose 0 = 33*v - 39*v + 6. What is the nearest to 2 in -1/2, v, b? v Let m(s) = -2*s - 9. Let h be m(-7). Let t = -2 - -7. Let x = t + -1. Which is the nearest to -0.1? (a) x (b) h (c) -0.4 c Let s = -0.06 + -0.14. Which is the closest to -1? (a) s (b) -3 (c) -4/3 c Let x = 11 - 11. Which is the nearest to 0.1? (a) -13 (b) x (c) -1/3 b Let o = -15 + 11. What is the closest to 0.1 in -5, o, -0.3? -0.3 Let b = -11/4 + 69/28. What is the nearest to 1 in 2/7, b, 3? 2/7 Let u = 54.3 - 51. Let o = u + 0.7. Let k = -7 - -4. Which is the nearest to o? (a) 0.2 (b) -1 (c) k a Let k = -102 - -508/5. What is the closest to -3/4 in 5, 0.4, k? k Let h be (-4)/(-14) - (-11)/(-14). Let r be 4/18 - 133/315. Let x be -2 - 18/(-4) - 1. What is the nearest to h in r, x, 0? r Suppose 0*m - m + 2*i = -13, 4*m = i + 17. Which is the closest to 0.1? (a) m (b) 4 (c) 12 a Let h = -0.045 + 0.075. What is the closest to 0.1 in h, 2, 0.1? 0.1 Let i = -1 - -1.4. Let p(l) = l**3 - 1. Let y = -10 + 9. Let z be p(y). Which is the nearest to 0? (a) i (b) 1/6 (c) z b Let p be 3 - 4/(2/2). Which is the nearest to -1/2? (a) p (b) 3/5 (c) 1 a Let j = -5.1 - -5. Let p = -7 - -5. Suppose -4*k - 16 = -4*y, -3 = -4*k + 1. Which is the nearest to 1? (a) p (b) j (c) y b Let r be (-6)/(-8) - (-5)/(-10). Which is the nearest to r? (a) 1/3 (b) 0.2 (c) 3 b Let h = -18 + 20. Let m be (-1)/2*(1 - 4). Which is the closest to 0? (a) m (b) 0.1 (c) h b Suppose 5*h + p - 3*p - 14 = 0, 0 = 3*p - 9. What is the closest to 1 in -4, h, -0.22? -0.22 Let t = 0.5 + -1.3. Let w = t - -0.86. Let r = 0.16 - w. Which is the closest to r? (a) -0.1 (b) -0.2 (c) 2 a Let d = -0.1 + -0.4. Let s = -71.7 + 75. Let j = s - 0.3. What is the nearest to 1 in 0, d, j? 0 Let i = -2 - -1.9. Let v(s) = s**2 - 4*s + 3. Let r be v(2). What is the closest to -1 in 1, r, i? r Let p = 12 - 8. What is the nearest to -5 in -1/2, -0.2, p? -1/2 Let s = 2 + -1. Let l = 536/35 + -78/5. What is the nearest to -1 in 4, s, l? l Let i = 0.34 + -0.74. Let q be (-1*(-9)/(-6))/(-3). Which is the closest to q? (a) i (b) 1/2 (c) -0.5 b Let s = -104 - -941/9. Let x = -11/36 + s. Let k = 0.2 - 0.4. Which is the nearest to k? (a) -0.1 (b) x (c) 0 a Let x be 9/12 - 55/84. Which is the nearest to -0.1? (a) x (b) 0.5 (c) 0.1 a Let f = -53 - -213/4. What is the nearest to 1/3 in f, 2, 3/7? f Let b = -18.4 - -16.4. What is the closest to -2 in -2/9, b, 0? b Let h = -18.6 - -18.5. Let k = 1 - 1. Which is the nearest to h? (a) 3 (b) 0.3 (c) k c Suppose 3*h - 5 = -2*h. Let u = -9 + 10. What is the closest to u in -0.6, h, 5? h Suppose -30 = 5*b - 10. Suppose 3*i = -2*s - 7, -5*i = 2*s + 2*s + 15. Let d = 0.5 - 0.3. What is the closest to -0.1 in d, b, i? d Let t = -16 + 19. Let r = -4.4 - -0.4. Let u = -1 - 0. Which is the closest to u? (a) -0.2 (b) r (c) t a Let j = 47.3 + -47. What is the closest to 2 in -3, j, 1? 1 Let u(w) = w**2 + 10*w - 29. Let b be u(-12). What is the nearest to -0.1 in b, -8, 1? 1 Let v = -4.096 - -0.096. What is the nearest to 1 in -1/6, v, 8/9? 8/9 Let f be (-9)/10 - 30/(-75). Which is the nearest to f? (a) 1/3 (b) -0.3 (c) -3/4 b Suppose -3*w + 1 + 14 = 0. Let z(p) = -p**2 + 6*p + 5. Let f be z(w). Suppose i - 6*i = -f. Which is the closest to 1? (a) 0.5 (b) i (c) -1 a Let u(f) = -f**3 + 15*f**2 + 2*f - 26. Let n be u(15). Which is the closest to 0.6? (a) 3 (b) -1 (c) n b Let y = 0.1 - 0.2. Let n = -0.14 - -0.04. Which is the closest to n? (a) y (b) -0.3 (c) 0.5 a Let m = -16.5 + 24.4. Let t = 8 - m. What is the closest to t in 0.2, 2, -1? 0.2 Let z be 32/(-12) + 5/(10/4). Which is the closest to -1/7? (a) z (b) -4 (c) 5 a Let w = -0.4 - -0.8. Let p = 23 - 8. Let q be ((-4)/150)/((-3)/p). Which is the closest to 1? (a) q (b) 3/8 (c) w c Let r = 5 - 2. Let b = r + -3. Let j be ((-20)/15)/(10/(-3)). What is the closest to -1/3 in b, j, -3? b Let i be (0 + -1)*-1 - 1. Which is the closest to i? (a) -4 (b) -1 (c) 5 b Let f = -0.04 - -3.04. Let h = 3.05 + -0.05. Let v = h - f. What is the closest to 2 in 5, v, 0.5? 0.5 Let n = -12 + 0. Let d = n - -11.6. Which is the nearest to 1? (a) 4 (b) d (c) -4 b Let h = 17/8 - 77/40. Let o be (-375)/(-36) - 1/(-3). Let t = 11 - o. Which is the closest to t? (a) h (b) 4 (c) 0 a Let y = -0.04 - -0.84. Let n = y - 1. Suppose 0*h + 5 = -5*z + 3*h, -5*h = 0. Which is the nearest to -1? (a) z (b) n (c) -4 a Let c = 0.05 - -2.95. Let s = 2.5 - c. What is the nearest to -1/3 in 3/4, s, 0.5? s Let k be (4/(-14))/(4 + -2). Let q = -2 + 2. Which is the closest to -0.1? (a) 4 (b) q (c) k c Let k = 1.1 - 1.6. Which is the nearest to 2? (a) -0.2 (b) -0.3 (c) k a Let z = 1.4 + -0.9. What is the nearest to 2 in 3, z, -1? 3 Let f = 1 + 1. Let r = 1.9 - f. Which is the closest to 1? (a) 2 (b) 6/11 (c) r b Let d = 4.9 - 0.9. Let r = -0.01 + -0.49. What is the nearest to 0.1 in d, -1, r? r Let t(g) = -g**3 + 4*g**2 + 4*g + 9. Let s be t(5). Suppose 8*i = 10*i - s. Let l = 4 - 3. Which is the nearest to i? (a) 1/3 (b) l (c) -1/4 b Let h(q) = -q + 3. Let p be h(3). Which is the closest to p? (a) 0.5 (b) -0.1 (c) 2 b Let y = -8.5 + 8. Let v = 6 + -5.6. Which is the nearest to 0? (a) v (b) -1/6 (c) y b Let k = -39 - -42. Which is the closest to -3? (a) -4 (b) -0.2 (c) k a Let s = 1.97 + 0.03. What is the closest to s in -1/4, -2/5, 0.1? 0.1 Let l = 1/58 + 43/29. Let n = 3 - 1. Suppose -n*r + r = 0. What is the closest to 0 in 5, r, l? r Let j = -6 - -6. Let f be 2 + (112/52 - 4). Which is the closest to 3? (a) 2/9 (b) f (c) j a Let o be ((-4)/6)/(78/18). Which is the nearest to o? (a) 2/19 (b) -2/3 (c) 1/2 a Suppose -4*g = -2*r - 6*g, 4*r = -5*g - 2. Let u = 0.39 + 2.61. Which is the nearest to 0.1? (a) r (b) u (c) 0 c Let m be (-2 - 44/(-16))*-2. Which is the closest to -2? (a) -1/2 (b) -3 (c) m c Let k = 3.4 - 0.4. Let l = 0.3 - 0.2. Suppose -13*n + 7*n = -12. Which is the nearest to l? (a) -2 (b) k (c) n c Suppose -11 = 5*n + 4. What is the nearest to -0.1 in 0.2, n, -1? 0.2 Let m = -22.1 - -22. Which is the closest to m? (a) -1 (b) 0.1 (c) 2 b Let k = 31/3 + -10. Let w be (-1)/7*3/3. Let u = -3.2 - -3. Which is the nearest to k? (a) u (b) w (c) -6/5 b Suppose 6*k - 51 = 3*k. Suppose -5*g = -2*f - 16, 3*g + g - 3*f = k. Let w = 4 + -4.1. Which is the nearest to w? (a) g (b) 0.5 (c) 1/6 c Let y = 1.2 - 1. Let w = -1 - 0.3. Let r = -0.8 - w. Which is the nearest to -1? (a) r (b) y (c) 0 c Let d = -16 + 15. Let p = 5 + -5.6. Which is the closest to d? (a) 0 (b) p (c) 0.3 b Let u be (1/(-3))/((-4)/6). Let v = -11.5 - -11. Let q be ((-3)/4)/(24/16). Which is the closest to q? (a) u (b) -2/9 (c) v c Let i(y) = 5*y. Let z be i(2). Let m be -2 + 4 - 26/z. Let k = 2321/7 + -331. Which is the nearest
{ "pile_set_name": "DM Mathematics" }
-18) assuming d is positive. d**(-468) Simplify o**(1/54)*o*o*o**2 assuming o is positive. o**(217/54) Simplify ((b*b/b**10)/b)**(-1/8) assuming b is positive. b**(9/8) Simplify (v/(v**(2/17)/v))/((v*v**(-5/4))/v) assuming v is positive. v**(213/68) Simplify (z**(2/13)*z**(-4/5))/(z/(z**(-1/3)*z*z)*z)**(16/7) assuming z is positive. z**(-1922/1365) Simplify (k*k/(k*k**(-20))*k)/k*(k/((k/((k*k**4/k*k*k)/k*k))/k))/k assuming k is positive. k**27 Simplify ((f*f/(f*f**(-5/2)*f)*f)/(f**9*f))**29 assuming f is positive. f**(-377/2) Simplify (i**(-31))**(-6) assuming i is positive. i**186 Simplify (h**3/h)**18 assuming h is positive. h**36 Simplify (m*m*(((m**(-2/5)/m)/m)/m*m)/m)/(m*m**(-1/13)*m)*(m/(m/(m/(m**(-8)*m)*m)*m*m*m))/m**(-1/16) assuming m is positive. m**(2849/1040) Simplify (f**(2/9)*f**7)**(-5) assuming f is positive. f**(-325/9) Simplify (z**(-4)/z)/z**(1/5)*(z/(z/(z**0/z)))**(-34) assuming z is positive. z**(144/5) Simplify (d*d/(d**(-1/4)*d)*d*d/(d/(d**(-6)*d)))/((d*d**4/d)/(d*d/((d**(-6)*d)/d))) assuming d is positive. d**(5/4) Simplify (c**13)**24 assuming c is positive. c**312 Simplify s**(-2)/(s/(s/(s*s/(s*(s/s**(1/4))/s)*s*s)))*(s/((s*s*(s*(s**(-2/7)*s)/s)/s*s*s)/s)*s)**(-2/17) assuming s is positive. s**(-2459/476) Simplify (v**(-2/3)/v**5)**(-1/3) assuming v is positive. v**(17/9) Simplify (z*z**(1/18)/z*z)/(z/(z**(-1/82)/z)*z) assuming z is positive. z**(-722/369) Simplify g**(-14)*g/(g**(-2/31)*g) assuming g is positive. g**(-432/31) Simplify (q*q*((q/(q**(3/19)/q))/q)/q*q)/q**(2/13) assuming q is positive. q**(664/247) Simplify (v*v**1)**(10/3)*(v/v**0)**31 assuming v is positive. v**(113/3) Simplify x*x/(x*x**9*x*x)*((x/(x*x/x**(-22)))/x)/x assuming x is positive. x**(-35) Simplify (i/(i**1*i))**(14/11)*i**1*i/(i**(1/12)*i*i) assuming i is positive. i**(-179/132) Simplify ((((l/(l/(l*((l/l**(-2))/l)/l))*l*l)/l)/l*l)/l**(-2/7))/(l/(l/(l**(-1/4)*l)))**(-1) assuming l is positive. l**(113/28) Simplify (s**(-9)/s)/s*(s*s*s/(s/(s/(s**(-14)/s))))/s assuming s is positive. s**6 Simplify ((y**(-2)/y*y)**(1/29))**(-1) assuming y is positive. y**(2/29) Simplify ((((u/((u*u/u**(-2)*u)/u))/u)/u)/(u/(u/(u*u**(-1/6)))))**49 assuming u is positive. u**(-1715/6) Simplify (n**(2/11)*n**(-3/2))**(-6/19) assuming n is positive. n**(87/209) Simplify (r**(-1)*r)**16*r**(-1/8)*r/(r/r**(1/2)) assuming r is positive. r**(3/8) Simplify c**(-4/15)*c**1/c assuming c is positive. c**(-4/15) Simplify (n/(n*n**(-3/2)/n)*n)/(n*n/(n*n**(-1/3))*n*n*n)*(n/(n*n**(1/7)))/n*n/(n*n**(-2/3)) assuming n is positive. n**(-55/42) Simplify (i**1)**43*i**3*i*i**0*i assuming i is positive. i**48 Simplify (l**6*l**(-3))**(3/41) assuming l is positive. l**(9/41) Simplify (v*v**(-2/11)*v*v**(-1/2)*v)/(v/v**(-1/5)*v/(v**(-1/8)*v*v)*v) assuming v is positive. v**(437/440) Simplify ((p**2/p)/p*p**(-2/13))/((p*p/(p/p**2))/p)**(-32) assuming p is positive. p**(830/13) Simplify ((i*i/(i/(i*i/i**0*i*i*i))*i)**(1/24))**11 assuming i is positive. i**(77/24) Simplify (s**3*s*s**(-5)/s)**(-19) assuming s is positive. s**38 Simplify (p**(-3)/(p/p**(-1)))/(p/(p*p**(1/4)/p)*p)**(-3/4) assuming p is positive. p**(-59/16) Simplify (w**(-1/2))**(5/3)*(w**(-1))**(2/19) assuming w is positive. w**(-107/114) Simplify (k*k/k**12*k)/(k*k**(-37)*k) assuming k is positive. k**26 Simplify (g**6/(g/g**7))**(3/4) assuming g is positive. g**9 Simplify (g*(g*g/(((g*g**(-17))/g)/g*g))/g)/(g**(1/14)*g) assuming g is positive. g**(251/14) Simplify r/((r**(-20)*r)/r*r)*(r**(-1/4)*r)/r assuming r is positive. r**(79/4) Simplify (k**3)**(2/3) assuming k is positive. k**2 Simplify ((d*d/d**6*d)/d*d**(-1))/(d/d**(2/3))**(-2/47) assuming d is positive. d**(-703/141) Simplify (u**(3/7)*u)/u*u*u**5*u**(-2/13)*u*u**(1/10)/u*u assuming u is positive. u**(6711/910) Simplify i*((i**(-2/17)*i)/i)/i*i/(i*i*i**(-1))*i*(i/i**(-1/3))/((i**(-4)/i*i)/i) assuming i is positive. i**(368/51) Simplify (v*((v/v**(-1))/v*v)/v*v)**(-1/11)/(v/v**(-4/5)*v*v*v*v/v**0) assuming v is positive. v**(-334/55) Simplify (x**(-1))**(1/7)*x**0/(x/(x/x**1)) assuming x is positive. x**(-8/7) Simplify ((g/(g*g*g**1*g*g))**(-43))**(12/5) assuming g is positive. g**(2064/5) Simplify (q**9)**(-9/11) assuming q is positive. q**(-81/11) Simplify g*g/(g/((g**13*g)/g))*g**(-3/2) assuming g is positive. g**(25/2) Simplify ((v/v**(1/8))/(v**(-6/5)/v))/(v**(-8)*v*v/(v*v**(-1/4))*v) assuming v is positive. v**(353/40) Simplify ((q**(3/11)*q*q)/q*q**(-8))/(q**(-6)/(q*q**(-4/3)*q)) assuming q is positive. q**(-2/33) Simplify s**(2/3)/((s*s**(-3))/s) assuming s is positive. s**(11/3) Simplify ((k**2/k)**18)**(-2/3) assuming k is positive. k**(-12) Simplify (b*b**(-3)/b)**(2/83) assuming b is positive. b**(-6/83) Simplify ((w**3*w)/((w/(w/w**5))/w))/(w*w**(-2)*w)**(-13/3) assuming w is positive. 1 Simplify (i*i**(-1)/i*i)**(2/49)*(i**(-1/4))**(-28) assuming i is positive. i**7 Simplify b**11/(b**(2/9)/b*b) assuming b is positive. b**(97/9) Simplify (r**(-19)*r**9*r)**(-1/73) assuming r is positive. r**(9/73) Simplify c/c**(-2/29)*c**(-2/7)*c**(-1/4)*c*c**(-6)*c assuming c is positive. c**(-2815/812) Simplify d**(-16)*d*d**29 assuming d is positive. d**14 Simplify (q*q**(-6)*q)**(-23) assuming q is positive. q**92 Simplify ((y**(4/7))**(4/15))**(-18/11) assuming y is positive. y**(-96/385) Simplify r*r**(5/9)*r*r*r/(r**10*r) assuming r is positive. r**(-58/9) Simplify l**(1/5)*l/(l/(l*l**(5/7)*l*l))*(l**(-2)*l*l)/((l**7*l*l)/l) assuming l is positive. l**(-143/35) Simplify ((i/(i/(i**(6/13)*i*i)))/(i**4*i*i))/(i**(2/7))**(-25) assuming i is positive. i**(328/91) Simplify (r**(-8)/((r/((r/(r/(r**(-1)/r)))/r))/r))/(r**(-1/3)/r)**(-43) assuming r is positive. r**(-205/3) Simplify (u/(u/u**(-1/10))*u)**(-19) assuming u is positive. u**(-171/10) Simplify (j**(2/19)*j**19/j)**40 assuming j is positive. j**(13760/19) Simplify j**(-1/10)/(j**(2/11)/j)*j**(1/6)/j**(-4/7) assuming j is positive. j**(1682/1155) Simplify (s**(-1/15)*s)**13 assuming s is positive. s**(182/15) Simplify (((b*b**(-8/7)/b)/b)/((b/b**(11/2))/b))**(-2/15) assuming b is positive. b**(-47/105) Simplify a**(-6)*a/(a**(-3)/a)*a*(a/((a**(2/5)*a)/a))/(a**(-2/7)/a) assuming a is positive. a**(66/35) Simplify (a**16)**24 assuming a is positive. a**384 Simplify (a/a**4)**(-11/2) assuming a is positive. a**(33/2) Simplify v*(v/(v*(v*v*v**(-1/5))/v))/v*v*v*v*v**(-3) assuming v is positive. v**(-4/5) Simplify ((u**1)**(-4))**(-3/32) assuming u is positive. u**(3/8) Simplify w**15/w*w*w**13 assuming w is positive. w**28 Simplify s**(-6/7)*s**(1/5) assuming s is positive. s**(-23/35) Simplify (c/c**3*c*c/c**9)/(c/(c/(((c/c**(2/3))/c)/c)*c))**10 assuming c is positive. c**(53/3) Simplify (q**6)**47 assuming q is positive. q**282 Simplify (n**(-1/3))**11/((n*n**(1/4))/(n*n**(-2/7)*n)) assuming n is positive. n**(-269/84) Simplify (t**(-1/3))**28*t**(8/3)*t*t*t**(-1/3)*t assuming t is positive. t**(-4) Simplify r**(-17)*r/(r/r**(-1/15)) assuming r is positive. r**(-256/15) Simplify (n**(-1))**(-44)/(n**(2/25)/n*n*n/(n/n**(3/5))) assuming n is positive. n**(1083/25) Simplify o/o**7*o**11/o*o assuming o is positive. o**5 Simplify (t**(-1/3)/t)**(-2/31)*t**(-2/11)*t**(-1/3) assuming t is positive. t**(-439/1023) Simplify (v**(-6)/((v*v**(-3)*v)/v))/((v/(v*v**5/v))/((v/(v**(-7)/v))/v*v)) assuming v is positive. v**9 Simplify (q*q/(q/q**(-2/5)))/(q/q**3) assuming q is positive. q**(13/5) Simplify y**(13/4)/(y**(-38)/y*y) assuming y is positive. y**(165/4) Simplify (r/((r**(-1)/r)/r)*r*r*r*r**(1/3)*r)/((r**(-1)/r)/r)**(2/21) assuming r is positive. r**(181/21) Simplify (y**(2/5))**(7/2)/((y*y**1)/y)**(-26) assuming y is positive. y**(137/5) Simplify (u**(-2)*u*u/u**3)**(2/3) assuming u is positive. u**(-2) Simplify (k/k**1)**50*(k**(3/5)/k*k)/(k**7*k) assuming k is positive. k**(-37/5) Simplify i**(-1/69)/(i/((i**26/i*i)/i)) assuming i is positive. i**(1655/69) Simplify ((f**(-4/5)*f*f)/f**(-5/2))**7 assuming f is positive. f**(259/10) Simplify ((c/c**1)/c)**47 assuming c is positive. c**(-47) Simplify ((c/c**(-4))/c)/c**(-7/2) assuming c is positive. c**(15/2) Simplify (((t*t/((t**(5/6)*t*t)/t*t)*t)/t)/(t*t**(4/5)*t))**(-50) assuming t is positive. t**(545/3) Simplify (i/((i*i**(2/9)/i*i)/i))/i**(-2/9) assumin
{ "pile_set_name": "DM Mathematics" }
i(w) + 11*v(w). 2*w**3 - 2*w**2 + w + 2 Let h(p) = 20*p**3. Let g(w) = -10*w**3 + 3*w**2 + 3*w + 3. Let l(z) = 21*z**3 - 7*z**2 - 7*z - 7. Let y(v) = -7*g(v) - 3*l(v). Give -6*h(t) + 17*y(t). -t**3 Let i(h) = 13*h**3 + 2*h**2 - 2. Let s(p) = 30*p + 193. Let u be s(-9). Let z(b) = 495*b**3 + 77*b**2 - 77. What is u*i(g) + 2*z(g)? -11*g**3 Let n = -14 - -21. Let k(r) = -371*r**3 + 7*r + 2*r**2 + 7 + 147*r**3 + 2*r**2 + 209*r**3. Let y(g) = -7*g**3 + 2*g**2 + 3*g + 3. Determine n*y(s) - 3*k(s). -4*s**3 + 2*s**2 Let u be (-2)/14 - (342/(-42) + 5). Let o(v) be the second derivative of -v + 0 - 1/2*v**2 - 1/6*v**u. Let x(t) = -2*t - 2. Determine 5*o(s) - 2*x(s). -s - 1 Let u(o) = -17*o - 19. Let k(m) = -15*m - 20. Calculate -7*k(f) + 6*u(f). 3*f + 26 Let f(j) = -6*j**2 + 4. Let t(s) be the third derivative of s**5/12 - s**3/2 - s**2. Let d = 51 - 49. Let a be (-6)/12*(-4 - d). Give a*f(i) + 4*t(i). 2*i**2 Let w(u) = u. Let c(y) = 2*y - 11. What is c(r) - 4*w(r)? -2*r - 11 Let o(y) = 7*y - 95. Let a be o(14). Let d(v) be the second derivative of 1/12*v**4 + 0 - 3*v - 1/2*v**a + 0*v**2. Let u(w) = -w. Calculate -2*d(i) + 7*u(i). -2*i**2 - i Let c(q) = -11*q**2 - 13*q + 3. Let s(a) = -4*a**2 - 4*a + 1. Give 2*c(u) - 7*s(u). 6*u**2 + 2*u - 1 Let p(n) be the second derivative of -n**3/2 - 17*n. Let v(i) = -3*i. Let k(j) = -j**3 + 7*j**2 - 8*j + 14. Let z be k(6). Determine z*p(u) - 3*v(u). 3*u Let y(p) = -p. Let h(r) = 2*r**2 + 113*r + 224. Let j be h(-2). Let x(f) = -3*f**2 + 6*f + 1. Give j*y(q) + x(q). -3*q**2 + 1 Let d(o) = 13*o + 5. Let n(f) = -2*f + 1. Let a(p) = -26*p - 20. Let s(h) = -a(h) - 6*n(h). Determine -14*d(b) + 5*s(b). 8*b Let r(f) = 5*f - 3. Let z = 589 + -629. Let d(c) = 65*c - 40. Determine z*r(w) + 3*d(w). -5*w Let l(i) = -4*i**2 + i - 2. Let t be -4 + (6/2 - 4). Let h(d) be the second derivative of -3*d**4/4 + d**3/3 - 2*d**2 - 41*d. Calculate t*l(v) + 2*h(v). 2*v**2 - v + 2 Let v(u) = -6*u**2 - 158*u - 11. Let c(n) = -2*n**2 - 53*n - 4. Calculate 11*c(i) - 4*v(i). 2*i**2 + 49*i Let s(n) be the first derivative of n**4/24 - 19*n**3/3 - 29. Let a(i) be the third derivative of s(i). Let p(k) = -k + 7. What is -6*a(u) + p(u)? -u + 1 Let c(k) be the second derivative of -2*k**3/3 + 2*k. Let g be 2/5 - (-2020)/(-50). Let u = g + 62. Let q(m) = 15*m. What is u*c(t) + 6*q(t)? 2*t Suppose 9 = -2*r + 5*r. Let x(k) = -5*k + 4. Let i(j) = 84153*j - 42073*j - 4 - 42074*j. Give r*i(u) + 4*x(u). -2*u + 4 Let k(a) = 7*a + 6. Suppose -3*d - 138 = -150. Let m(w) = -7*w - 5. What is d*k(o) + 5*m(o)? -7*o - 1 Let u(b) = -68*b**2 - 7*b + 12. Let f(z) = 66*z**2 + 6*z - 10. Calculate -6*f(p) - 5*u(p). -56*p**2 - p Let a(m) = 11*m**2 + 23*m + 4. Let j be a(-2). Let v(x) = -x - 4. Let c(k) = -k - 5. Calculate j*c(b) - 3*v(b). b + 2 Let x(h) = -7*h**2 - 5*h + 2. Let g(m) = -m**2 - m. Suppose -4*p - 22 = -7*p - 4*t, 31 = 6*p - 5*t. Give p*g(w) - x(w). w**2 - w - 2 Let t(f) = 2*f**2 + 4*f - 2. Let v(q) = -62*q + 25*q + 36*q - q**2. Calculate -t(h) - 3*v(h). h**2 - h + 2 Let m be ((11 - 4)/7)/((-2)/(-18)). Suppose -4*o - 2*k = 3*k + 27, -2*o = k + m. Let j(n) = 9*n**2 - 8. Let a(z) = z**2 - 1. Calculate o*j(l) + 24*a(l). -3*l**2 Let s(j) = j**2 - 2*j - 1. Let y(k) = -61*k**2 + 10*k + 4. Determine -5*s(i) - y(i). 56*i**2 + 1 Let v(g) = -4*g - 3. Let s(w) be the third derivative of -w**4/12 - w**3/3 + 5*w**2. Let y(c) = -9*s(c) + 4*v(c). Let m(t) = -4*t - 11. Give 4*m(f) + 7*y(f). -2*f - 2 Let t(b) = -23*b**3 - 88*b**2. Let y(w) = -8*w**3 - 29*w**2. Calculate -6*t(j) + 17*y(j). 2*j**3 + 35*j**2 Let w(y) = 1. Let r(j) = 4*j + 9. Calculate -r(g) + 3*w(g). -4*g - 6 Let y(h) be the second derivative of -h**3/6 - 2*h + 6. Let j(z) = -10*z + 1. Determine j(i) - 4*y(i). -6*i + 1 Let p(d) = 2*d**3 - 3*d**2 - 3*d - 3. Let c(f) = -11*f + 4. Let k be c(3). Let g = 35 + k. Let w(a) = -6*a**3 + 10*a**2 + 10*a + 10. What is g*w(i) + 20*p(i)? 4*i**3 Let l(m) = 817*m + 12. Let r(z) = -1557202*z - 22876. Determine 5719*l(c) + 3*r(c). 817*c Let b be -3 + (-14)/4*(-84)/147. Let o(r) = -r**3 - r**2. Let h(q) = 5*q**3 + 3*q**2 + 9. Calculate b*h(s) - 3*o(s). -2*s**3 - 9 Let a(j) = -5*j**2 + 2*j - 4. Let n(g) = -g**2 + g - 1. Let q = -8 - -12. Let i be (7 - 0) + (128/(-14) - 176/(-154)). Calculate i*a(v) + q*n(v). v**2 + 2*v Let z(u) = 2*u**2 + 9*u**2 - 9*u**2 - 5*u**2 + u**2. Let j(q) = 4*q + 2*q**2 - 1 - 2*q - q + 0. What is 2*j(d) + 3*z(d)? -2*d**2 + 2*d - 2 Let i(q) = q**3 + q. Let k(w) = -26*w**3 - 5*w - 4. What is 5*i(m) + k(m)? -21*m**3 - 4 Let o(i) = -1. Let n(c) = -2*c**2 + 23*c + 11. Let x be n(12). Let s(a) = a - 1. Calculate x*o(u) + s(u). u Suppose 0 = -4*d - t + 166, 7*d - 4*d + 4*t = 118. Let i(n) = 25*n - 6 + 18*n - d*n. Let w(r) = -1. What is i(z) - 4*w(z)? z - 2 Let d(x) = 4*x**3 - 8*x**2 + 6*x - 10. Let f(m) = -3*m**3 + 6*m**2 - 4*m + 11. What is -5*d(l) - 6*f(l)? -2*l**3 + 4*l**2 - 6*l - 16 Let m(z) = -28*z**2 - 60*z - 5. Let p(s) = 13*s**2 + 30*s + 2. Give 6*m(k) + 13*p(k). k**2 + 30*k - 4 Let t(r) = -588*r**2 + 228*r + 96. Let f(u) = -31*u**2 + 12*u + 5. What is -96*f(j) + 5*t(j)? 36*j**2 - 12*j Let v(c) be the third derivative of c**5/60 - 559*c**2. Let f(x) = -11*x + 13. Let t(p) = 5*p - 6. Let o(i) = -4*f(i) - 9*t(i). What is o(j) + 3*v(j)? 3*j**2 - j + 2 Let m(k) = k**3 + 12*k**2 - 9*k. Let r(o) = 2*o**3 + 23*o**2 - 17*o. Let j(c) = -7*m(c) + 4*r(c). Let u(x) = -7*x**2 + 4*x. Determine 4*j(z) + 5*u(z). 4*z**3 - 3*z**2 Let w(u) = 13*u**2 - 7*u - 4. Let m(i) = 1083 + 1085 + 7*i**2 - 2170 - 4*i. Determine 5*m(z) - 3*w(z). -4*z**2 + z + 2 Let j(r) = -109*r**3 + 3*r**2 + 3. Let l(s) = -980*s**3 + 28*s**2 + 28. Determine 28*j(d) - 3*l(d). -112*d**3 Let x(g) = -g**3 - g**2 + 1. Let q(h) = -3*h**3 - 5*h**2. Let t = 308 - 307. Give t*q(i) - 5*x(i). 2*i**3 - 5 Let y(v) = -15*v + 4. Let q(a) = -2*a + 1. Determine -5*q(x) + y(x). -5*x - 1 Suppose 3*d + 30 = 4*g, 2*d - 6*d = 2*g + 18. Let j(y) = -6*y + 41. Let q(l) = -2*l + 14. Determine d*j(s) + 17*q(s). 2*s - 8 Let n(a) = -a**2 - a - 2. Let m(d) = -4*d**2 - 3*d + 65. What is -m(s) + 3*n(s)? s**2 - 71 Let s(m) = -m**2 + 3*m - 11. Let r(n) = n**2 - 2*n + 1. Let k(h) = 5*r(h) + s(h). Let l(d) = d**2 - d - 1. Suppose -5*t + 0*t = 30. What is t*l(o) + k(o)? -2*o**2 - o Let x(q) = 28*q - 6. Let d(v) = 52*v - 12. Let s(a) = -6*d(a) + 11*x(a). Let g(r) = r**2 + r - 1. Give 3*g(y) + s(y). 3*y**2 - y + 3 Let c(h) = -h**2 + 2*h - 1. Let o(a) = 4*a**2 - 6*a + 3. Let j be (-68)/(-36) - (-5)/(-90)*-2. Give j*o(s) + 7*c(s). s**2 + 2*s - 1 Let b(j) = j**3 - 3*j**2 - 6. Let q(t) = -2*t**3 - t**2 - 1. Let a(f) = -7*f**3 - f**2 + 3. Let k(p) = -a(p) + 3*q(p). Determine 2*b(y) - 3*k(y). -y**3 + 6 Let p(l) = -2*l + 2*l**3 + 0*l**3 - 1 + l. Suppose -6*q + 15*q - 18 = 0. Let m(s) = s**3 - s - 1. Determine q*p(c) - 2*m(c). 2*c**3 Let y(k) = -2*k**3 + 5*k**2 + 139*k - 6. Let d(w) = -w**2 - 7*w + 1. Determine -6*d(b) - y(b). 2*b**3 + b**2 - 97*b Let a(r) = -2*r**3 - 9*r**2 - 3. Let s(k) = k**3 + 5*k**2 + 2. Let t be (-3)/(7/(6 + -13)). Give t*a(h) + 5*s(h). -h**3 - 2*h**2 + 1 Let w be (-4)/(-6)*15/(-2). Let j(g) = -5*g - 31 - 32 + 90 - 4*g**3 - 32. Let v(p) = 4*p**3 + 6*p + 6. What is w*v(y) - 6*j(y)? 4*y**3 Let j(g) = 5*g**2 - 3*g + 4. Let p(r) = -5*r**2 + 6*r - 15. Let s(w) = 8*w**2 - 9*w + 22. Let b(x) = -7*p(x) - 5*s(x). Give 6*b(f) + 7*j(f). 5*f**2 - 3*f - 2 Let k(g) = 7*g - 3. Suppose 3*f - 48 = -78. Let b(u) = 4*u - 2. Calculate f*b(a) + 6*k(a). 2*a + 2 Let c(l) = -1079*l**3 - 3*l**2 + 3*l + 3. Let s(p) = 59345*p**3 + 166*p**2 - 166*p - 166. Give 166*c(h) + 3*s(h). -1079*h**3 Let b(c) = -86*c**3 + 25*c**2 - 15. Let j(s) = -57*s**3 + 16*s**2 - 10. What is -5*b(o) + 8*j(o)? -26*o**3 + 3*o**2 - 5 Let d(i) = 2*i**2 - 12*i + 3. Let c(g) = 11*g - 9*g**2 - 6*g**2 - 2 - g**2 - 3*g**2 + 17*g**2. Give 4*c(l) + 3*d(l). -2*l**2 + 8*l + 1 Let d(x) = -21*x - 23. Let y(j) = -4*j - 3. Let n(g) = d(g) - 6*y(g). Let s(v) = 3*v - 5. Give -3*n(w) + 2*s(w). -3*w + 5 Let q(m) = -9*m**2 + 8*m - 11. Let n(g) = 26*g**2 - 23*g + 31. Calculate 4*n(f) + 11*q(f). 5*f**2 - 4*f + 3 Let t(c) = 3 - 1 - 2 + c. Let o(s) be the first derivative of -s**2 - 2 + 17 - 13*s + 12*s. Give o(x) + 3*t(x). x - 1 Let k(c) = 2*c**2. Let i(x) = -x**2. Let l be 1 - (-7)/(-28)*-20.
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 45012454? 2, 599, 37573 List the prime factors of 101332470. 2, 3, 5, 47, 71867 What are the prime factors of 441973754? 2, 857, 257861 List the prime factors of 141744929. 17, 23, 227, 1597 What are the prime factors of 142090785? 3, 5, 3157573 List the prime factors of 60413895. 3, 5, 1342531 List the prime factors of 39918039. 3, 7, 571, 3329 What are the prime factors of 913097097? 3, 11, 269, 1039 What are the prime factors of 3490023439? 7, 61, 193, 42349 List the prime factors of 7769364725. 5, 310774589 What are the prime factors of 450967127? 13, 34689779 What are the prime factors of 153687776? 2, 11, 73, 5981 List the prime factors of 78640332. 2, 3, 6553361 What are the prime factors of 149148594? 2, 3, 7, 19, 1093 What are the prime factors of 102760618? 2, 37, 113, 12289 List the prime factors of 1926357704. 2, 193, 1247641 What are the prime factors of 117487829? 251, 468079 What are the prime factors of 60083514? 2, 3, 3337973 What are the prime factors of 13686656? 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47, 677, 6791 What are the prime factors of 37007707? 11, 31, 41, 2647 List the prime factors of 90231226. 2, 89, 541, 937 List the prime factors of 2056493691. 3, 7, 57571 What are the prime factors of 627312277? 199, 1301, 2423 What are the prime factors of 80428390? 2, 5, 7, 1148977 What are the prime factors of 242582403? 3, 7, 23, 359, 1399 What are the prime factors of 566576655? 3, 5, 4283, 8819 What are the prime factors of 3575363884? 2, 47, 19017893 List the prime factors of 89732554. 2, 19, 29, 107, 761 What are the prime factors of 74268072? 2, 3, 29, 35569 List the prime factors of 2241015305. 5, 43, 10423327 What are the prime factors of 1832959790? 2, 5, 29, 6320551 List the prime factors of 857990581. 7, 19, 113, 57089 List the prime factors of 2233415536. 2, 11, 1367, 9283 List the prime factors of 82706709. 3, 1381, 19963 List the prime factors of 285869557. 47, 1709, 3559 What are the prime factors of 61269318? 2, 3, 11, 9377 What are the prime factors of 3811421866? 2, 7, 359, 758341 List the prime factors of 55667534. 2, 13, 2141059 What are the prime factors of 722830847? 937, 771431 List the prime factors of 726165866. 2, 829, 437977 List the prime factors of 231820196. 2, 57955049 List the prime factors of 837673515. 3, 5, 7, 886427 List the prime factors of 453242939. 7283, 62233 What are the prime factors of 291104305? 5, 41, 463, 3067 List the prime factors of 131579645. 5, 26315929 List the prime factors of 28041670. 2, 5, 17, 31, 313 List the prime factors of 691368605. 5, 307, 450403 List the prime factors of 44917131. 3, 7, 1049, 2039 List the prime factors of 1595508204. 2, 3, 19, 6997843 List the prime factors of 321299136. 2, 3, 61979 What are the prime factors of 59167170? 2, 3, 5, 657413 List the prime factors of 30862273. 13, 182617 What are the prime factors of 1470041089? 11, 3943, 33893 What are the prime factors of 206849286? 2, 3, 7, 29, 8087 List the prime factors of 161600304. 2, 3, 3366673 What are the prime factors of 864000088? 2, 7, 15428573 List the prime factors of 1157414911. 29, 1867, 21377 List the prime factors of 748872951. 3, 233, 1071349 List the prime factors of 247231779. 3, 82410593 What are the prime factors of 742747411? 7, 19, 5584567 List the prime factors of 184786235. 5, 1913, 19319 What are the prime factors of 63407286? 2, 3, 391403 List the prime factors of 93052181. 23, 137, 29531 List the prime factors of 321802670. 2, 5, 7, 2083, 2207 What are the prime factors of 2689201022? 2, 2963, 453797 List the prime factors of 4908144850. 2, 5, 7, 41, 211, 1621 List the prime factors of 37925275. 5, 23, 65957 List the prime factors of 4918048612. 2, 1019, 1206587 List the prime factors of 2012536949. 61, 199, 317, 523 List the prime factors of 11174761. 13, 71, 12107 List the prime factors of 11654853. 3, 7, 31, 17903 List the prime factors of 361864934. 2, 23, 41, 313, 613 List the prime factors of 427743826. 2, 213871913 List the prime factors of 309959765. 5, 83, 746891 List the prime factors of 1013897628. 2, 3, 9387941 What are the prime factors of 2121573395? 5, 17, 827, 30181 List the prime factors of 220512940. 2, 5, 11025647 List the prime factors of 222332600. 2, 5, 7, 463 What are the prime factors of 227741629? 13499, 16871 List the prime factors of 25974009. 3, 359, 8039 What are the prime factors of 663265067? 43, 2837, 5437 What are the prime factors of 141306361? 7, 3391, 5953 What are the prime factors of 1252464784? 2, 43, 1021, 1783 What are the prime factors of 250412923? 523, 478801 What are the prime factors of 1000362260? 2, 5, 67, 107, 6977 List the prime factors of 1594768775. 5, 463, 137777 List the prime factors of 14370642. 2, 3, 11, 13, 1861 What are the prime factors of 983750592? 2, 3, 11, 379, 1229 What are the prime factors of 37155147? 3, 12385049 What are the prime factors of 1286746
{ "pile_set_name": "DM Mathematics" }
to f. -21*p**3 - 3 Find the third derivative of 1559*d**5*t**2 - d**4*t**2 + 324*d**2*t**2 - d*t**2 wrt d. 93540*d**2*t**2 - 24*d*t**2 Differentiate 8708*a**2*q**2 + 483*q**2 wrt a. 17416*a*q**2 Differentiate 5506*h**2*y + 6*h**2 + 426*h wrt y. 5506*h**2 What is the third derivative of -125*s**6 - 84*s**2 wrt s? -15000*s**3 What is the derivative of -31*c**3*n**2 - 3*c**3*n - c**3 + n**4 - 138 wrt n? -62*c**3*n - 3*c**3 + 4*n**3 Find the second derivative of -2*m*v**4 + 7*m*v**3*z**3 - 6*m*v*z**2 - 2*v*z**3 + 1 wrt v. -24*m*v**2 + 42*m*v*z**3 Find the second derivative of 3383*q**4 - 2316*q. 40596*q**2 What is the third derivative of -943*j*w**5 - 2*j*w - 24*j + 3*w**2 wrt w? -56580*j*w**2 Find the third derivative of 170*c**5*j - 2*c**4*j**3 - 3*c**2*j**2 - 3*c**2*j + 20*c*j**3 wrt c. 10200*c**2*j - 48*c*j**3 Find the third derivative of -13377*s**3 - 233*s**2 + 44 wrt s. -80262 What is the second derivative of -65*j*v**2 + j*v + 3*j + 3*v wrt v? -130*j Differentiate -480*a**3*b*g - a**3 - 2*a**2*b*g*p - 37*a**2*p + b*g + 13*g*p wrt b. -480*a**3*g - 2*a**2*g*p + g Find the third derivative of -214*c**4 + 270*c**2 wrt c. -5136*c Find the third derivative of 906*b**6 + 242*b**2. 108720*b**3 What is the second derivative of -6*w**2*z**3 + 21*w**2*z + 206*w*z**3 wrt w? -12*z**3 + 42*z What is the third derivative of 45*j**6 + 103*j**5 + 8369*j**2? 5400*j**3 + 6180*j**2 Find the second derivative of -239*i**4 - 2*i**2 - i + 67 wrt i. -2868*i**2 - 4 Find the third derivative of 4*o**5 + 65*o**3 - 2*o**2 - 5104 wrt o. 240*o**2 + 390 Find the second derivative of -1312*k**2 - k - 1718 wrt k. -2624 Find the third derivative of -a*v**5 + 2*a*v**2 - a*v - 2*v**6 - 2394*v**3 - 356*v**2 wrt v. -60*a*v**2 - 240*v**3 - 14364 Find the third derivative of -195*b**4 + 168*b**2. -4680*b What is the derivative of 212*h**2*n**2 + h**2*n*y - 8*h*n**2 + 3227*n**2*y wrt y? h**2*n + 3227*n**2 What is the third derivative of 3*a**5*w + 4*a**5 + 3*a**4*w - 2*a**2*w - 5*a**2 - 6*a*w wrt a? 180*a**2*w + 240*a**2 + 72*a*w Find the second derivative of 3040*z**2 + 2814*z. 6080 What is the second derivative of -983*b**4*n + b**3*o**2 + 2*b*n*o**2 + 2*b*n*o - 5*n*o**2 + 60*n wrt b? -11796*b**2*n + 6*b*o**2 Find the third derivative of 605*o*y**6 + 7*o*y**2 - 22*o + 3*y**6 - 5*y**2 wrt y. 72600*o*y**3 + 360*y**3 What is the third derivative of -2*f**4*g + f**3*g*u**3 - 16*f**3*g + 2*f**2*g*u**3 + 3*f**2*g*u**2 + 3*f**2 wrt f? -48*f*g + 6*g*u**3 - 96*g What is the first derivative of -122*b**3*k*t - 2*b**3 + 44*b**2*k**3 - k**3*t wrt t? -122*b**3*k - k**3 What is the third derivative of -30*x**5 + 293*x**2 - x wrt x? -1800*x**2 What is the second derivative of -47*m**2*p**2 + 2*m**2 + 2*m*p**2 - 104*m*p wrt p? -94*m**2 + 4*m Find the third derivative of -10*j**4*p*r + 30*j**4*p - 3*j**3*r + 3*j**2*p*r - 22*j**2*r + j*p*r + 6*j*r wrt j. -240*j*p*r + 720*j*p - 18*r What is the third derivative of 306*r**4 - 906*r**2? 7344*r What is the third derivative of -147*m**2*z**3 + 9*m**2*z**2 + m**2 - 2*m*z**4 + 2*m*z**3 + 146*m*z**2 + 2*z**3 wrt z? -882*m**2 - 48*m*z + 12*m + 12 Find the first derivative of -h**4 - 256*h**3 + h + 4127. -4*h**3 - 768*h**2 + 1 Find the second derivative of -25772*b**4 + 11490*b. -309264*b**2 Find the second derivative of -64*q**5*v**3 - 4*q*v**3 + v**3 + 2 wrt q. -1280*q**3*v**3 What is the derivative of -253*o**4 - 267? -1012*o**3 Differentiate -389*f - 40 wrt f. -389 What is the derivative of -7061*w + 12442 wrt w? -7061 Differentiate -182*t**2*x - 137*t**2 wrt x. -182*t**2 Find the second derivative of -h*i**2 - 79*h*i*x - h*x + 44*i**3*x - 15*i**3 - 3*i*x wrt i. -2*h + 264*i*x - 90*i What is the second derivative of 286*v**2 + 2*v - 135? 572 Find the first derivative of 8*b**2*j*o*w - 25*b**2*j*o - 12*b**2*j - 3*b**2*w + 2*b*j*w + 4*j*o - 4 wrt o. 8*b**2*j*w - 25*b**2*j + 4*j Differentiate -351*z**2 + 163 with respect to z. -702*z What is the third derivative of 455*g**3 - 3*g**2 + 104 wrt g? 2730 Differentiate 3*f**4*n + 163*f**2*n - 751*n wrt f. 12*f**3*n + 326*f*n Find the first derivative of -2319*b + 2761 wrt b. -2319 What is the second derivative of -123*u**4 - 85*u wrt u? -1476*u**2 What is the derivative of -30*r*y - 321*r - 22*y - 83 wrt r? -30*y - 321 Differentiate -18*n**2 - 213*n*o**2 + 9490*o**2 wrt n. -36*n - 213*o**2 What is the second derivative of 444*f**2*y - f*y - 75*y wrt f? 888*y Differentiate 4*b**2 + 188*b + 1841 with respect to b. 8*b + 188 Differentiate -387*j**2 + 2769 with respect to j. -774*j What is the second derivative of 5*n*w**2 - 772*n*w - 8*w**5 wrt w? 10*n - 160*w**3 Find the third derivative of 86*f**3*i**3*t + 10*f**3*i*o*t + 2*f**3*t + 2*f**2*i**3*o*t - 23*f**2*i*o*t + 2*f**2*o*t + 9*f*i**2*t + 3*i**2*o wrt f. 516*i**3*t + 60*i*o*t + 12*t What is the second derivative of -2*d**3*k**2 + 45*d**3*k + 104*d**3 + 56*d*k**2 - 85*k**2 wrt k? -4*d**3 + 112*d - 170 Find the first derivative of -7*q**4 - 9672. -28*q**3 What is the second derivative of 18*k**2*t**3 + 431*k**2*t**2 - 517*k*t**3 + 9*t**3 wrt k? 36*t**3 + 862*t**2 Find the third derivative of d**5 + 1450*d**3*g**2 + d**2 + 149*d*g**2 - 4*g**2 wrt d. 60*d**2 + 8700*g**2 Find the third derivative of -9236*c**3*p**2 - 4*c**2 - 999*p**2 wrt c. -55416*p**2 What is the second derivative of -46*x**2 + 168*x wrt x? -92 What is the first derivative of 2*k**3*m**2 + 551*k**2*m**3 + 2*m**3 - 106 wrt k? 6*k**2*m**2 + 1102*k*m**3 Differentiate -5*p**2*t**2 - 8*p**2 - 10*p*t**2 - 9 wrt t. -10*p**2*t - 20*p*t Find the second derivative of 148*a**2 + 231*a wrt a. 296 Find the second derivative of 3*l**4 + 207*l. 36*l**2 What is the third derivative of 112*m**3*q**2*u**3 - 2*m**3*q**2*u**2 + 6*m**2*q*u**3 + 25*m*q**2 wrt m? 672*q**2*u**3 - 12*q**2*u**2 Find the second derivative of 2*h*l**2*t**2*w + 6*h*l**2*t*w**2 - 4*h*l**2*t*w - 6*h*l - 3*l**2*t**2*w + 9*l**2*w**2 + l**2*w - 2*t**2*w**2 wrt w. 12*h*l**2*t + 18*l**2 - 4*t**2 Find the first derivative of -2*m**3 + 2*m*v + 64*m - 1386*v wrt m. -6*m**2 + 2*v + 64 What is the second derivative of -187*u**5 - 49*u + 2? -3740*u**3 What is the third derivative of c*i*l*m**3 + 4*c*i*m**3 - 2*c + 42*i*m**2 - 4*i - 13*l*m**3 - l*m wrt m? 6*c*i*l + 24*c*i - 78*l What is the derivative of 2*d*h**3 - 851*d*h - 438*d + 1 wrt h? 6*d*h**2 - 851*d Find the third derivative of 888*i**4 - 4*i**2 - 3*i. 21312*i Find the third derivative of 32*a*s**2*x + 17*a*s*x**3 - a*s + 4*s**2*x**3 - s**2*x + s*x**2 - 3*x**3 wrt x. 102*a*s + 24*s**2 - 18 What is the first derivative of 4*d**2*u**2 - 64*d**2 - 257*u - 8 wrt u? 8*d**2*u - 257 What is the first derivative of 94*v**4 + 2*v**2 - 95? 376*v**3 + 4*v Find the second derivative of -4230*p**5 - 3*p**4 + 20723*p. -84600*p**3 - 36*p**2 Find the first derivative of 13*w**4 - 4*w**3 + 122 wrt w. 52*w**3 - 12*w**2 What is the derivative of 123*y**3 + 6*y**2 + 3*y - 4933? 369*y**2 + 12*y + 3 What is the second derivative of 1013*d**2*q**2*y**2 + 2*d**2*y**2 + d**2*y - d*q**2*y - 439*q**2*y - q**2 wrt y? 2026*d**2*q**2 + 4*d**2 What is the third derivative of -439*l**3 + 23*l**2 + 15*l wrt l? -2634 What is the first derivative of -2*o*r**4 + 3662*o*r**3 - 292*o wrt r? -8*o*r**3 + 10986*o*r**2 What is the third derivative of 11933*n**5*q + 4*n**2 + 586*q + 3 wrt n? 715980*n**2*q What is the second derivative of -47*t**4 + t + 141? -564*t**2 Find the second derivative of 210*g**2*l*z + 3*g**2*l + g**2 + 2*g*l + 2*g - l*z wrt g. 420*l*z + 6*l + 2 Find the third derivative of -3*k**5 - 80*k**4 + 3*k**2 - 98*k wrt k. -180*k**2 - 1920*k What is the second derivative of 819*w**3 - 1516*w - 1? 4914*w Find the second derivative of -20*x**3 + 13*x**2 + 247*x - 2. -120*x + 26 Find the first derivative of -330*g**2*y + 130*g**2 wrt y. -330*g**2 Differentiate 13*t**3 - t**2 + 141 with respect to t. 39*t**2 - 2*t Differentiate -82*y**2 + 3*y + 829 wrt y. -164*y + 3 What is the third derivative of 175*v**3 - v**2 + 14 wrt v? 1050 Find the second derivative of 5801*y**3 + 6326*y. 34806*y What is the first derivative of b**2*f*q**2 + 3*b**2*q**2 + 13*b**2*q - 55*b*f*q**2 wrt f? b**2*q**2 - 55*b*q**2 Differentiate -27540*q*s + 62*q + 2*s + 236 with respect to s. -27540*q + 2 Find the second derivative of 5367*c**3 + 1720
{ "pile_set_name": "DM Mathematics" }
and 31. 31 Calculate the greatest common divisor of 4716 and 675. 9 What is the greatest common divisor of 740518 and 148? 74 Calculate the highest common factor of 9875572 and 476. 476 What is the highest common factor of 11954 and 1204? 86 Calculate the greatest common factor of 490518 and 4998. 714 Calculate the highest common factor of 357126 and 42. 42 What is the highest common divisor of 1088 and 2? 2 Calculate the highest common divisor of 3056 and 4016. 16 Calculate the greatest common divisor of 65515 and 15. 5 Calculate the highest common factor of 782 and 9078. 34 Calculate the highest common factor of 260965 and 95. 95 What is the greatest common factor of 52877 and 1672? 209 What is the highest common divisor of 9996 and 28560? 1428 What is the greatest common divisor of 7 and 7791? 7 What is the highest common factor of 117572 and 455? 91 Calculate the greatest common factor of 364 and 3458. 182 Calculate the greatest common divisor of 695 and 68249. 139 What is the greatest common factor of 2970 and 340? 10 What is the greatest common factor of 7990 and 2550? 170 What is the greatest common factor of 474 and 27650? 158 What is the highest common divisor of 3773 and 55? 11 What is the highest common factor of 5850 and 5? 5 What is the greatest common divisor of 513786 and 624? 78 Calculate the greatest common divisor of 374 and 4178141. 187 Calculate the greatest common factor of 125477 and 561. 187 What is the highest common factor of 228 and 252738? 114 What is the highest common divisor of 17 and 15511803? 17 What is the highest common divisor of 5145 and 14880? 15 Calculate the highest common divisor of 206395 and 385. 35 What is the highest common divisor of 144 and 34794? 18 What is the highest common factor of 2160 and 250? 10 What is the greatest common divisor of 272238 and 33813? 867 What is the highest common divisor of 31505 and 5? 5 Calculate the highest common factor of 1037 and 55369. 17 Calculate the highest common divisor of 12214 and 5319. 197 Calculate the highest common divisor of 8606445 and 15. 15 Calculate the greatest common factor of 208033 and 263. 263 Calculate the highest common divisor of 3990 and 49590. 570 What is the greatest common factor of 1200 and 1024? 16 What is the greatest common factor of 2525 and 74675? 25 What is the greatest common factor of 1440 and 78240? 480 Calculate the highest common factor of 128 and 2091968. 64 What is the highest common divisor of 34938 and 10999? 647 Calculate the greatest common divisor of 5997 and 3. 3 What is the highest common factor of 17969 and 71281? 119 What is the greatest common divisor of 55 and 114565? 55 What is the greatest common factor of 3496 and 1336? 8 Calculate the highest common factor of 47974 and 3984. 166 Calculate the greatest common factor of 747 and 11454. 249 What is the greatest common factor of 7498 and 2714? 46 Calculate the highest common factor of 14976 and 143. 13 Calculate the greatest common divisor of 72479 and 1573. 121 Calculate the greatest common factor of 779470 and 230. 230 What is the greatest common divisor of 492 and 2299608? 492 What is the highest common divisor of 71 and 80159? 71 What is the highest common factor of 32640 and 360? 120 What is the greatest common factor of 12361 and 188? 47 What is the highest common divisor of 217 and 363661? 31 What is the highest common divisor of 2885 and 40? 5 Calculate the highest common divisor of 26340 and 42. 6 Calculate the greatest common factor of 741 and 2691. 39 Calculate the greatest common divisor of 100 and 24176. 4 What is the greatest common divisor of 6656 and 2808? 104 Calculate the highest common factor of 276069 and 3. 3 Calculate the highest common factor of 895 and 3820. 5 What is the highest common factor of 2513 and 327049? 359 Calculate the highest common factor of 95 and 46873. 19 Calculate the greatest common factor of 21528 and 162. 18 Calculate the highest common factor of 57 and 831. 3 Calculate the greatest common divisor of 1953 and 182466. 279 Calculate the highest common factor of 178 and 84461. 89 Calculate the greatest common factor of 3020 and 1542465. 755 What is the highest common divisor of 964 and 180? 4 Calculate the greatest common divisor of 532 and 78508. 76 Calculate the greatest common factor of 13 and 26. 13 What is the greatest common divisor of 20685 and 245? 35 Calculate the greatest common divisor of 123 and 507375. 123 What is the greatest common factor of 12 and 302056? 4 What is the greatest common factor of 2495 and 18962? 499 Calculate the greatest common divisor of 192 and 93642. 6 Calculate the greatest common divisor of 89397 and 1053. 27 Calculate the greatest common factor of 1103751 and 297. 99 Calculate the highest common divisor of 19986 and 54. 6 Calculate the highest common divisor of 46 and 19340. 2 Calculate the greatest common factor of 137970 and 3465. 315 Calculate the greatest common factor of 1517 and 18409. 41 What is the greatest common factor of 40987 and 1037? 17 What is the highest common factor of 2288349 and 196? 49 Calculate the greatest common factor of 70023 and 153. 51 What is the greatest common divisor of 2278 and 75509? 67 Calculate the greatest common divisor of 2951 and 7709. 13 Calculate the highest common factor of 21472 and 22528. 352 Calculate the highest common factor of 108006 and 141. 141 Calculate the highest common factor of 2946972 and 252. 84 What is the greatest common divisor of 315098 and 426? 142 Calculate the highest common factor of 808 and 5384. 8 What is the highest common factor of 159213 and 438? 219 What is the highest common factor of 40 and 103720? 40 What is the greatest common factor of 62152 and 2312? 136 Calculate the greatest common factor of 66 and 906. 6 Calculate the highest common divisor of 141000 and 640. 40 What is the highest common factor of 8 and 241418? 2 Calculate the highest common factor of 11429 and 198. 11 What is the greatest common factor of 811020 and 42? 42 Calculate the highest common divisor of 32 and 261416. 8 What is the highest common factor of 19313 and 58373? 217 Calculate the highest common divisor of 3960 and 5192. 88 What is the greatest common factor of 318 and 212848? 106 What is the greatest common divisor of 40 and 85970? 10 Calculate the highest common divisor of 1552 and 43262. 194 Calculate the greatest common divisor of 6325 and 44390. 115 What is the highest common factor of 6048 and 281484? 252 Calculate the highest common divisor of 144 and 16928. 16 Calculate the greatest common factor of 11435668 and 1108. 1108 Calculate the greatest common divisor of 1639 and 4023. 149 Calculate the greatest common divisor of 102 and 394077. 51 What is the highest common divisor of 5383937 and 377? 377 Calculate the highest common factor of 837508 and 784. 196 What is the highest common divisor of 5800 and 7400? 200 Calculate the greatest common factor of 1557142 and 1370. 274 What is the greatest common divisor of 15891065 and 155? 155 Calculate the greatest common divisor of 3434337 and 23. 23 Calculate the greatest common divisor of 259548 and 5934. 258 Calculate the highest common factor of 1030 and 587306. 206 Calculate the highest common factor of 12556548 and 9. 9 Calculate the highest common factor of 2627 and 333. 37 What is the greatest common divisor of 102 and 58106? 34 Calculate the greatest common factor of 9108 and 357282. 414 What is the greatest common divisor of 13490 and 5890? 190 What is the greatest common divisor of 15 and 348005? 5 What is the highest common factor of 15 and 144195? 15 Calculate the greatest common divisor of 53 and 347203. 53 Calculate the highest common divisor of 59712 and 64. 64 What is the greatest common divisor of 686 and 35917? 49 Calculate the greatest common factor of 6930 and 19215. 315 What is the greatest common factor of 2737 and 8533? 161 Calculate the highest common divisor of 157920 and 21. 21 What is the greatest common divisor of 1136 and 8240? 16 What is the greatest common divisor of 3631 and 1? 1 What is the greatest common factor of 9 and 8649? 9 What is the highest common factor of 1012 and 3674? 22 Calculate the greatest common factor of 234 and 14859. 117 Calcu
{ "pile_set_name": "DM Mathematics" }
rrange -25*p**2 - 355 + 51*p**2 - 25*p**2 to the form i*p**2 + m*p + l and give i. 1 Express 15*k**4 + 12*k**2 - 2 - 2*k**2 - 11*k**4 - 8*k**2 - 6*k**4 - 7*k as h*k**3 + g*k + f*k**2 + i*k**4 + u and give i. -2 Rearrange 21*w**2 - 17*w**2 + 502*w**4 - 460*w**4 + (4*w - 4*w + w)*(6*w**3 - 4*w**3 - w**3) to the form v*w + f*w**2 + r*w**4 + t*w**3 + x and give r. 43 Express (-206*d**2 - 514*d**2 - 127*d**2 + 152*d**2)*(4 + 1 - 4) in the form z*d**2 + j + q*d and give z. -695 Express 212 - 322*w + 366*w - 39*w + 2*w - 2*w - w + (2 - 3 - 1)*(-w + 3*w + 0*w) + 0 + 0 - 2*w in the form f + g*w and give f. 212 Express (i**2 + 0 + 0)*((0 + 0 - i)*(6 - 8 + 3) + (i - 3*i + 0*i)*(-2 + 5 - 5)) in the form p + y*i + d*i**2 + v*i**3 and give v. 3 Express -8 + m**4 + 13*m**3 - 2*m**4 + 3*m**2 - 11*m**3 as f*m**3 + v + d*m + i*m**2 + u*m**4 and give f. 2 Rearrange 2*v - 2440 + 22*v**3 + 2440 to the form n*v**3 + m + j*v**2 + k*v and give n. 22 Express (d**3 - 2*d**3 + 0*d**3)*(-4 + 4*d + 4) - d - d**4 + d + (6*d**3 + 1 - 1)*(-d + 0*d - d) as t*d + c*d**3 + g + s*d**2 + v*d**4 and give v. -17 Rearrange -3*l**4 - l**3 - l**3 - 2 - 4*l**3 - 6*l**2 + 0*l**3 + 5*l**3 to y + t*l**4 + i*l**2 + a*l**3 + f*l and give t. -3 Express -1 - 2*v + 1 + (5 - 2 - 1 + (-33 + 10 - 5)*(-3 - 1 + 0))*(6*v - 2*v - 3*v)*(-3 + 0 - 2) in the form n + h*v and give n. 0 Express 4*w**2 - 3*w**2 - 2*w**2 + (201*w - 119*w - 111*w)*(0 - 3*w + 0) in the form t*w**2 + h + z*w and give t. 86 Express -117*w**2 + 1605*w - 1605*w + (2 + w - 2)*(-4*w - 4*w + 5*w) + (-3*w + 1 - 1)*(2*w + 0 + 0) in the form i + t*w + p*w**2 and give p. -126 Rearrange (-17 + 17 - 12*t**2)*(2 - 3 - 2)*(-5 - 23 + 6) to the form x*t + v + k*t**2 and give k. -792 Express (-10 + 10 + 8*x)*(2 + 1 - 4 - 6*x)*(9*x**2 + 3*x**2 - 4*x**2) as p + d*x**2 + u*x + b*x**4 + v*x**3 and give b. -384 Express 471*l - 139*l - 33*l + 205*l in the form i + w*l and give w. 504 Rearrange 19*w - 5 + 41*w**2 - 72*w**2 + 29*w**2 to the form m + b*w + n*w**2 and give m. -5 Express (-4 + 1 + 5)*(-2*r**2 + 3*r**2 - 3*r**2) - r**2 + r**2 - r**2 - 72 + 102*r**2 + 72 as h*r**2 + o*r + s and give h. 97 Rearrange -h - 1 + 1 + (2*h - 2*h - 13*h)*(-2 + 2 + 2)*(2 + 0 - 5) to the form i*h + n and give i. 77 Express 45*n + 23*n + 16*n as t*n + y and give t. 84 Express 61*j**3 + 3*j**3 - 148703*j**2 + 148716*j**2 in the form g*j**2 + h + q*j**3 + r*j and give q. 64 Express (1 - f - 5 + 3)*(-95*f + 359*f + 247*f) in the form w*f**2 + o*f + x and give x. 0 Rearrange 180*t**2 + 25*t**2 - 12*t**2 to b + j*t**2 + f*t and give j. 193 Rearrange 291 + 0*s - 145 - 266 + 3*s to k*s + w and give k. 3 Rearrange -15*s**3 + 4*s**2 - 17*s**3 + 44*s**3 - 2 + 2*s**4 + 2*s - 18*s**3 to the form n*s**3 + b*s + m + k*s**2 + z*s**4 and give m. -2 Express 8*j - 33 + 65 - 29 - 2*j**2 in the form k*j + u + t*j**2 and give t. -2 Rearrange -697*k + 1 + 1263*k + 1151*k to z*k + f and give f. 1 Rearrange -k - 14 - 22 - 20 to q*k + d and give d. -56 Express -11*a + 15*a - 11*a + 8*a**2 in the form f*a + c*a**2 + t and give t. 0 Express (2 - y**2 - 2 + (y + y + 6*y)*(-3*y + 3*y - 2*y))*(1 + 0 + 1)*(0 - 4 - 1)*(y - 2*y + 3*y) in the form w*y**3 + o*y + b + f*y**2 and give f. 0 Rearrange (-244*p + 244*p + 13*p**2)*(5 + 14 - 5)*(-2 + 2 + 2) to l + z*p + r*p**2 and give r. 364 Express 188 - 100 - 89 - 200*x**2 in the form v*x**2 + s + q*x and give s. -1 Express (0*a + 4*a - 2*a)*(-1 + 1 - 2*a + (a + 2*a - a)*(-260 + 159 - 175)) as y*a + i + b*a**2 and give b. -1108 Express 0*d + 69*d**2 + 31*d**2 + 7*d**2 + 2*d + 45*d**2 as r + t*d + o*d**2 and give o. 152 Express (-3*a - 5*a + a)*(48*a + 1700 - 1700) as r*a**2 + i + g*a and give r. -336 Express 8*n - 6 + 2 + 11 - 7 - 3*n**2 - 26*n**3 in the form f*n**2 + s*n + g*n**3 + p and give s. 8 Express -176*i + 113*i - 223 + 62*i in the form w*i + h and give h. -223 Rearrange (16*d - 21*d - 25*d)*(-4 + 7 - 4 + (1 - 6 + 3)*(-1 - 2 + 1))*(5 + 0 - 4)*(-5 + 1 - 1)*(-2 - 1 + 2) to the form u*d + c and give u. -450 Express -160*x**3 + 11*x**4 - 3*x**4 + 45 + 322*x**3 - 164*x**3 as d + n*x**3 + m*x**2 + b*x**4 + a*x and give n. -2 Express (3*y + 2*y - 4*y)*(69 - 7 + 17 + 36)*(-y + 1 - 1) as m + a*y**2 + x*y and give x. 0 Express 3 + 3*g**3 - 32*g - 5*g**2 + 68*g - 14*g - 24*g as p*g**2 + t + s*g + n*g**3 and give n. 3 Rearrange 3474 - 1737 - 1738 - 2*h - 544*h**2 + (5*h - 6*h - h)*(2*h - h + h) to the form u + i*h**2 + d*h and give d. -2 Express (1 + 4 - 3 + (4 - 3 + 1)*(0 + 2 - 1) + 1 - 3 + 10)*(4*f + 8*f - f) in the form q*f + m and give q. 132 Rearrange (0 + 4 + 0)*(-2 + 4 - 3)*((1 - 1 + 1)*(w - 3*w + 4*w) + 173*w + 309*w + 7*w) to g + x*w and give x. -1964 Rearrange -12943*q - 649 - 12949*q - q**2 + 25892*q to l*q**2 + s*q + t and give l. -1 Express 28286*t - 2 + 44*t**2 - 28286*t in the form n*t + q*t**2 + p and give q. 44 Rearrange (2*z - 2*z - 2*z + 14*z - 4*z + 4*z + (0*z - z - z)*(0 - 2 + 3))*(z**3 - 3*z**3 + 4*z**3) to the form p*z**4 + f*z**2 + u*z + h + r*z**3 and give p. 20 Express (22*p + 10*p + 4*p)*(4*p**2 - 6*p**2 - p**2) as j + k*p**3 + f*p**2 + s*p and give k. -108 Rearrange (-x**2 + 3 - 3)*(-2*x**2 + x**2 + 4*x**2) + 0*x - 53*x**4 - 5*x + 2*x to the form d*x**3 + w*x**2 + o + q*x + k*x**4 and give k. -56 Rearrange (6*v**2 - 146*v**2 - 217*v**2)*(-4 + 4 + 2) to the form i + r*v**2 + n*v and give r. -714 Express (-19*d + 22*d - 21*d)*(-4*d - 2 + 2) + (-2*d + 2*d - d)*(3*d + 2*d - 3*d) - 6*d**2 + 2*d**2 - 9*d**2 in the form k*d + c + v*d**2 and give v. 57 Express 14996*r + 0 - r**2 + 2 + 0 - 15081*r as s + t*r**2 + q*r and give t. -1 Rearrange (-146 + 360 - 136)*(2*z**2 - 2*z**2 - 4*z**2) to m*z**2 + g*z + v and give m. -312 Rearrange (-2*v + 2*v - 2*v - 1)*(44*v**2 - 48*v**2 + 43*v**2) to u*v**2 + o*v**3 + c + m*v and give o. -78 Express 5*t - 15*t**2 + 3 - 4*t + 5*t**3 + 9*t**2 - 2*t**3 as s*t**2 + g + r*t**3 + o*t and give r. 3 Rearrange (9 + s - 4 - 3)*(14379 - 87*s - 14379) to the form h + i*s**2 + k*s and give i. -87 Rearrange 27*u - 424 + 28*u + 31*u - 87*u to p*u + r and give r. -424 Rearrange 2*i**3 - 2*i**4 - 2*i**3 + (-6*i**3 - 30*i**3 - 35*i**3)*(i - 2*i - i) to b*i + a*i**3 + y*i**4 + k + t*i**2 and give y. 140 Rearrange 324*q**2 + 20963 - 20963 to the form h + m*q**2 + y*q and give m. 324 Rearrange 6 + 14*s + 10 - 10*s to t*s + m and give m. 16 Express -150*m - 2 - 58*m + 2 + 787*m as g + o*m and give o. 579 Express (-3927*d**2 - 13 + 11 - 2*d + 4063*d**2)*(2*d + 0 + 0) as f + x*d**3 + g*d**2 + y*d and give y. -4 Express (-11*i - 13*i**2 + 11*i)*(i + 3 - 3) - i**3 - 8*i**3 + i**3 + (-i**2 + 5*i**2 - 3*i**2)*(-2*i - 1 + 1) as w + q*i + u*i**3 + n*i**2 and give u. -23 Express 19*c - 2 - 7*c - 101*c + 4 + 2*c**3 in the form u + w*c**2 + r*c + v*c**3 and give u. 2 Rearrange 101*g**2 + 197*g**2 + 47*g**2 + 130*g**2 to the form r + t*g**2 + v*g and give t. 475 Rearrange (0*i - 62 + i + 61)*(57*i**3 + 12*i**3 - 4*i**3) to the form a*i**3 + v*i**2 + q*i + l + p*i**4 and give q. 0 Rearrange 13*d + 5*d - 3*d + 16*d + 3*d + 2 to j + v*d and give j. 2 Express (7 - 5 - 6)*(-11*t + 173 + 177 - 359) as y + u*t and give y. 36 Rearrange -12*p + 6*p**3 + 5*p**2 + 23*p + 8*p**3 - 9*p to the form j + i*p**3 + v*p**2 + g*p and give i. 14 Express 2*a**3 + 3 - 3 + (4 - 3 - 2)*(-4*a**3 + 0*a**3 + 3*a**3) - 4*a**3 + 11 - 11 - 16*a - 20*a**3 + 16*a as c + g*a**2 + s*a + l*a**3 and give l. -21 Rearrange 0*m**3 - 17*m + 2*m**3 - 27 + 19*m - m**3 + 2*m**2 to v*m + k*m**2 + p*m**3 + a and give k. 2 Rearrange (-1 + 0 - 1)*(-504 + 988 - 428)*(-12 + 3*k + 12) to the form y + v*k and give v. -336 Rearrange -309 + 309 + 376*q to the form m + d*q and give d. 376 Rearrange 0*d - 152 + 137 + 12*d to y + s*d and give s. 12 Rearrange (-42*f**4 - 15*f**4 - 24*f**4)*(2 - 3 - 2)*(2 - 3 - 1) to w*f + o*f**2 + s*f**3 + n*f**4 + h and give n. -486 Rearrange 3*g**2 - 26 - 33 + 0*g**2 + 10 - 4*g**2 to the form r*g**2 + o + q*g and give o. -49 Rearrange (-5*z - z + 4*z)*(-6*z**2 + 2*z**2 + 2*z**2) - 3*z**3 - 2*z**3 - 2*z**3 - z + 0*z**3 - z**3 + 0*z**3 to the form l*z**2 + y*z + d*z**3 + w and give d. -4 Express 0*m - 5*m - 34*m - 8*m + 3*m + 2 in the form t + f*m and give t. 2 Rearrange (8*c + 12*c - 7*c)*((-5 - 3 + 6)*(-2 + 2 - 1) - 3 + 2 + 0)*(-2 - 1 + 2) to the form v*
{ "pile_set_name": "DM Mathematics" }
ase 9) to base 11. -6 -1c (base 16) to base 8 -34 Convert -41 (base 13) to base 7. -104 What is 1 (base 2) in base 15? 1 What is 1111 (base 2) in base 5? 30 -12 (base 12) to base 8 -16 -1 (base 13) to base 12 -1 What is -c (base 16) in base 14? -c What is -16a (base 12) in base 5? -1401 Convert 0 (base 15) to base 9. 0 What is 100000 (base 2) in base 8? 40 What is -1 (base 7) in base 6? -1 What is 10011010 (base 2) in base 11? 130 Convert 2 (base 9) to base 16. 2 What is d3 (base 14) in base 9? 225 Convert -9 (base 14) to base 5. -14 Convert 3 (base 5) to base 6. 3 Convert -1 (base 9) to base 3. -1 -1 (base 8) to base 3 -1 -5 (base 8) to base 6 -5 What is 34 (base 6) in base 11? 20 What is -110000011 (base 2) in base 7? -1062 Convert 74 (base 9) to base 3. 2111 What is 310 (base 6) in base 9? 136 Convert -6 (base 15) to base 14. -6 -10 (base 5) to base 8 -5 Convert 23 (base 11) to base 6. 41 Convert 109 (base 12) to base 5. 1103 Convert -20 (base 16) to base 13. -26 What is 455 (base 7) in base 16? ec -2c (base 16) to base 5 -134 100 (base 2) to base 7 4 What is -201 (base 5) in base 13? -3c What is 11 (base 2) in base 7? 3 Convert 5 (base 10) to base 2. 101 43 (base 6) to base 4 123 What is -a (base 15) in base 14? -a 17 (base 10) to base 2 10001 Convert 1 (base 12) to base 5. 1 What is 1000011 (base 2) in base 10? 67 Convert 51 (base 12) to base 10. 61 -11 (base 15) to base 11 -15 -6 (base 11) to base 8 -6 What is -35 (base 6) in base 9? -25 What is -2a (base 11) in base 2? -100000 What is 11 (base 4) in base 3? 12 Convert 31 (base 4) to base 14. d Convert 1 (base 4) to base 7. 1 Convert -11 (base 12) to base 16. -d What is -1b (base 16) in base 5? -102 Convert -160 (base 9) to base 12. -b3 213 (base 6) to base 14 5b What is -3 (base 7) in base 9? -3 Convert 1 (base 10) to base 14. 1 What is -1111 (base 2) in base 11? -14 Convert -1 (base 7) to base 13. -1 Convert 162 (base 7) to base 4. 1131 Convert -233 (base 4) to base 2. -101111 60 (base 7) to base 8 52 -9 (base 10) to base 14 -9 Convert 3 (base 15) to base 14. 3 1 (base 4) to base 9 1 -a (base 16) to base 12 -a 20 (base 4) to base 12 8 -13 (base 4) to base 14 -7 Convert -1222 (base 3) to base 10. -53 What is 37 (base 12) in base 6? 111 Convert 15 (base 6) to base 13. b Convert -b (base 16) to base 13. -b 2211 (base 3) to base 12 64 Convert -2 (base 14) to base 9. -2 Convert 1041 (base 6) to base 2. 11110001 Convert -10 (base 5) to base 10. -5 What is 54 (base 8) in base 6? 112 Convert 1220 (base 4) to base 13. 80 What is -11 (base 3) in base 12? -4 Convert 8 (base 11) to base 13. 8 31 (base 5) to base 6 24 Convert 6 (base 13) to base 7. 6 0 (base 5) to base 10 0 -2 (base 14) to base 15 -2 What is -110 (base 2) in base 3? -20 22 (base 3) to base 11 8 2 (base 3) to base 7 2 21 (base 5) to base 2 1011 What is -55 (base 12) in base 8? -101 What is -110 (base 4) in base 13? -17 1000 (base 2) to base 5 13 What is 90 (base 16) in base 4? 2100 15 (base 13) to base 6 30 -353 (base 7) to base 9 -225 -e (base 15) to base 2 -1110 Convert 0 (base 9) to base 7. 0 Convert -9 (base 15) to base 7. -12 Convert 6 (base 16) to base 2. 110 Convert -1 (base 7) to base 10. -1 Convert 51 (base 8) to base 14. 2d Convert 3 (base 5) to base 16. 3 -323 (base 7) to base 13 -c8 What is -2 (base 8) in base 7? -2 Convert 3 (base 14) to base 8. 3 What is 2 (base 15) in base 6? 2 -1 (base 16) to base 5 -1 What is -5 (base 6) in base 2? -101 Convert -11 (base 12) to base 9. -14 Convert -110 (base 2) to base 11. -6 Convert 7a (base 11) to base 14. 63 4 (base 9) to base 10 4 Convert 3 (base 6) to base 14. 3 What is 512 (base 7) in base 9? 312 Convert -1 (base 3) to base 14. -1 What is -10010100 (base 2) in base 13? -b5 82 (base 13) to base 4 1222 -11 (base 14) to base 3 -120 0 (base 13) to base 6 0 -8 (base 12) to base 10 -8 Convert -10011 (base 2) to base 10. -19 Convert 1001 (base 2) to base 14. 9 Convert -215 (base 6) to base 10. -83 Convert -d (base 15) to base 9. -14 What is 20 (base 5) in base 2? 1010 78 (base 9) to base 16 47 What is -16 (base 10) in base 5? -31 What is -101 (base 8) in base 16? -41 4c (base 15) to base 4 1020 What is 1 (base 16) in base 2? 1 What is b (base 13) in base 12? b Convert 28 (base 9) to base 10. 26 What is -1 (base 10) in base 11? -1 What is -10d (base 15) in base 8? -356 Convert -1 (base 5) to base 10. -1 21 (base 4) to base 12 9 What is -15 (base 14) in base 2? -10011 Convert -153 (base 9) to base 8. -201 -3 (base 11) to base 6 -3 Convert -2 (base 4) to base 2. -10 -9 (base 11) to base 15 -9 -15 (base 15) to base 16 -14 -17 (base 16) to base 4 -113 Convert 10 (base 14) to base 6. 22 What is -3 (base 14) in base 2? -11 Convert 4 (base 16) to base 6. 4 What is 10 (base 6) in base 12? 6 What is -10 (base 7) in base 2? -111 -266 (base 9) to base 11 -192 -401 (base 6) to base 15 -9a What is 14c (base 15) in base 12? 209 -45 (base 11) to base 8 -61 Convert 4 (base 8) to base 14. 4 Convert -16 (base 11) to base 3. -122 Convert 0 (base 15) to base 3. 0 What is -12 (base 10) in base 5? -22 What is -2a (base 13) in base 10? -36 -7 (base 14) to base 8 -7 Convert 133 (base 8) to base 15. 61 What is -34 (base 5) in base 11? -18 -102 (base 3) to base 8 -13 11 (base 5) to base 14 6 -17 (base 15) to base 6 -34 -12 (base 8) to base 3 -101 12012 (base 3) to base 16 8c What is 2 (base 8) in base 16? 2 -4 (base 10) to base 7 -4 Convert 231 (base 6) to base 9. 111 30 (base 8) to base 12 20 111 (base 2) to base 4 13 -15 (base 15) to base 10 -20 -1112 (base 3) to base 7 -56 Convert -10 (base 2) to base 8. -2 Convert 30 (base 5) to base 9. 16 -5 (base 13) to base 12 -5 -1010111 (base 2) to base 14 -63 What is b (base 13) in base 2? 1011 Convert 110101 (base 2) to base 12. 45 What is 3 (base 12) in base 9? 3 -9 (base 16) to base 10 -9 Convert 68 (base 9) to base 11. 57 What is 3 (base 12) in base 2? 11 What is 32 (base 14) in base 13? 35 42 (base 11) to base 7 64 Convert -68 (base 14) to base 3. -10102 1 (base 7) to base 15 1 Convert 1101 (base 2) to base 14. d Convert 1 (base 8) to base 4. 1 Convert 48 (base 11) to base 5. 202 Convert 0 (base 7) to base 10. 0 Convert 1302 (base 5) to base 16. ca 3 (base 15) to base 7 3 -56 (base 8) to base 9 -51 Convert -7 (base 15) to base 4. -13 What is 8a (base 12) in base 15? 71 Convert -104 (base 5) to base 6. -45 25 (base 15) to base 9 38 -1 (base 16) to base 14 -1 What is 2 (base 12) in base 13? 2 Convert 5 (base 14) to base 12. 5 What is -2 (base 16) in base 7? -2 Convert -a (base 16) to base 4. -22 111 (base 3) to base 7 16 Convert -1 (base 13) to base 14. -1 -31 (base 15) to base 4 -232 da (base 14) to base 7 363 0 (base 2) to base 9 0 Convert -1 (base 9) to base 10. -1 Convert -22 (base 6) to base 7. -20 What is -3 (base 15) in base 8? -3 -2a (base 12) to base 5 -114 What is 2 (base 12) in base 9? 2 1 (base 6) to base 11 1 -42 (base 8) to base 9 -37 What is -20 (base 3) in base 4? -12 Convert 143 (base 6) to base 8. 77 -3 (base 14) to base 9 -3 -2e (base 16) to base 3 -1201 Convert -2 (base 11) to base 15. -2 Convert 22 (base 3) to base 15. 8 -14 (base 7) to base 5 -21 -30 (base 12) to base 6 -100 Convert 4 (base 6) to base 16. 4 What is 9 (base 14) in base 6? 13 74 (base 11) to base 8 121 Convert 3 (base 8) to base 5. 3 Convert 14 (base 5) to base 6. 13 2 (base 6) to base 13 2 55 (base 6) to base 16 23 What is -23 (base 14) in base 6? -51 130 (base 4) to base 8 34 What is 0 (base 10) in base 15? 0 What is 4 (base 12) in base 6? 4 What is -10110 (base 2) in base 9? -24 What is 0 (base 13) in base 3? 0 What is 2 (base 5) in base 8? 2 What is 1c (base 14) in base 13? 20 Convert -2 (base 4) to base 14. -2 -174 (base 8) to base 15 -84 Convert 1432 (base 5) to base 3. 22222 Convert 131 (base 13) to base 5. 1314 What is 10 (base 12) in base 2? 1100 Convert -53 (base 9) to base 16. -30 What is -3 (base 14) in base 12? -3 170 (base 9) to base 3 12100 Convert -65 (base 12) to base 5. -302 Convert -3 (base 14) to base 6. -3 What is -131 (base 6) in base 4? -313 -15 (base 15) to base 10 -20 -12 (base 9) to base 2 -1011 353 (base 7) to base 3 20212 6 (base 10) to base 12 6 Convert -3b (base 12) to base 10. -47 What is -6 (base 11) in base 13? -6 Convert -1 (base 12) to ba
{ "pile_set_name": "DM Mathematics" }
19/5 c Let l(r) = -r**3 - 12*r**2 + 85*r - 2. Let n be l(-17). Which is the fourth biggest value? (a) 0.2 (b) -378 (c) n (d) 2 b Let y = 0.1436 + 1757.8564. Let v = y - 1839.1. Let u = v - -81. Which is the second smallest value? (a) u (b) -0.5 (c) 0.9 a Let g be (-9486)/34*(0 + (-4)/(-6)). Let h be g/120 - 10/40. Which is the second biggest value? (a) -3/7 (b) h (c) -3 (d) -1 d Let g = -0.03915 + 0.03915. Which is the third biggest value? (a) 0.2 (b) g (c) -1.181 c Suppose 132*l - 131*l = 4, 0 = 4*h + l + 32. What is the third biggest value in h, 36/5, -4? h Let s = 2.8 + -0.8. Suppose 9 = 2*k - f + 3, 0 = -4*f. Suppose z - k = 0, -3*z = -4*u - z - 2. What is the third biggest value in 1/8, u, -0.6, s? 1/8 Let s = -0.4 - -0.4. Suppose 198 = 24*v - 18*v. Let n = 28 - v. What is the smallest value in n, -1/2, s? n Let f = -0.27 + 0.07. Let n = 84 + -76. Suppose 4*t = n, 4*t = p + 2*t + 7. Which is the second smallest value? (a) f (b) p (c) -1/4 c Let c = -164 + 164.148. Let q = c + 3.852. Let o be 14/(-245)*(-7)/3. What is the second smallest value in o, q, -2/9? o Let v = 21242 + -21243.0371. Let h = -0.0371 - v. Let g = 3.7 + -4. Which is the biggest value? (a) g (b) 1/5 (c) -4 (d) h d Let a = -10319 - -10323. Let g = 5.94 - -0.06. What is the biggest value in -5, a, g? g Let i = -24170 - -3504651/145. What is the second biggest value in -1/5, 1/3, 0.4, i, -2/11? 1/3 Let p = 60 - 3. Let t = p - 55. Which is the third smallest value? (a) -2 (b) -1/6 (c) t c Let s be (2/(-15))/((-91)/(-273)). What is the second smallest value in s, 14, 5, -3, 8? s Let u = 39/2 + -21. Let g = -18704 + 18704.27. Which is the second biggest value? (a) g (b) -5 (c) u c Let q = 1/176 - -133/7568. Let a = q + -131/86. Let g be (-3)/9 + 1/3. What is the second smallest value in g, 1, a, 2/3? g Let z = 0 + 1. Suppose -4*x = m, 2*m - 7*m - 2*x = 0. Suppose 6*y + 18 - 48 = m. What is the third smallest value in y, -1/4, z, -2/21? z Let u = 549.5 + -549. Let j = -89 + 88.43. Let q = j + 0.17. Which is the second biggest value? (a) -3/10 (b) 1 (c) u (d) q c Let u be ((-88)/33)/((-2)/1) + -2. Which is the fourth biggest value? (a) 3 (b) -0.2 (c) u (d) -5 (e) -135/4 d Suppose 3*n + 2*u + 20 = -17, 5*u = 4*n + 34. Let b = 19 + n. Let z = 497 - 494. What is the third biggest value in b, z, -3/4, 1? 1 Suppose -3210 = 3*j - 1785 + 2460. Which is the third biggest value? (a) -5 (b) j (c) -1/7 (d) -0.1 a Let s = 3038/11 + -276. Let q = 2198 + -19778/9. Which is the smallest value? (a) q (b) -2 (c) s b Suppose 5*x - 2*y = 3*y - 95, 5*x - 4*y = -100. Let j be 4 + 1 + 21 + x. Suppose -h - 4 = -2, 3*m - j*h = 4. Which is the biggest value? (a) m (b) -6 (c) 0.4 c Let u(p) = -p**2 - 90*p - 261. Let r be u(-87). What is the second biggest value in 4, 3, -1, r, 2/3? 3 Let u be (-144)/(-32) - 5/40*12. What is the second smallest value in 1147, u, 1/5? u Let c = -1957.3 - -1957. Let i = -2.1 - -2.2. What is the second smallest value in 0, c, 6, i? 0 Let a(j) = j**3 - 43*j**2 - 32*j - 525. Let n be a(44). Let m = 20 - 20.5. What is the smallest value in 0.3, -4, n, m? -4 Let l be (-3)/(-4) + (17108/8)/(-13). Let i = -163 - l. Let k = -4.5 - -5. Which is the third biggest value? (a) k (b) i (c) -0.1 (d) -1 c Let s = -31 + 77. Suppose 9 - s = -r. Let k = r - 40. Which is the smallest value? (a) k (b) -5 (c) -0.2 (d) 0.4 b Let y(j) = -2*j**3 - 377*j**2 - 188*j - 11. Let p be y(-188). What is the biggest value in 4, -2/69, p? 4 Let j = -115.5 - -115. Let v = 110 + -129. What is the fourth smallest value in -2, j, -0.2, v? -0.2 Suppose -93 = 1070*h - 1101*h. Let j = 0 + 1. Let f = -93 - -461/5. Which is the fourth biggest value? (a) j (b) h (c) f (d) 4 c Let l = -19/2479 - 785178/86765. Let v = 46/5 + l. What is the third smallest value in -0.3, v, -0.07? v Suppose -8*z + 459 - 371 = 0. What is the second smallest value in z, -2/5, 0.107? 0.107 Let i = -8.939 - -8.919. What is the second smallest value in i, -562, 2, -0.5? -0.5 Let m = -5737.94 + 5738. What is the third smallest value in 2/3, 2, m, -43? 2/3 Let c = 102.2 + -104.9. What is the third biggest value in c, -3, -24? -24 Let c = 57478 + -57477.75. Let h(k) = k**3 + 10*k**2 - 11*k - 3. Let o be h(-11). What is the second biggest value in -2/13, 1, o, c? c Let i = 234 - 225. Suppose 51*g + i = 48*g. Let x = 5 + -4. What is the third smallest value in -4, g, x, 1/7? 1/7 Let l = 52.4 + -51.4. Which is the third smallest value? (a) -4/5 (b) 0.5 (c) -1 (d) -3/8 (e) l d Let z be (-57)/(-4) + -5 - 9. Which is the third biggest value? (a) 0.48 (b) -0.1 (c) z (d) 1/3 c Let k = -162.5 - -163. Let m = 127.2 + -127. What is the third smallest value in -0.5, m, 0.1, k? m Let p = -54.0634 + -0.0366. Let s = -31.1 - p. Which is the biggest value? (a) -0.2 (b) s (c) 0 b Let r = -644 - -944. Let g = r + -295. What is the second biggest value in 38, g, -1/2? g Let u = 1.2312 - 1.2162. Which is the fourth biggest value? (a) u (b) -2/5 (c) -0.12 (d) -2 (e) 0.5 b Let l = 476/3 - 12379/78. What is the biggest value in 2/7, -1/3, -4, l? 2/7 Let i = 6.00618 + -0.00618. What is the second smallest value in 0.01, 0.1, -1/3, i, 1/3? 0.01 Let g = -1560 + 1563. Let a = -1.5 - -0.5. Let d = 3.9 + 0.1. What is the second biggest value in g, a, -0.5, d? g Let g = -2733 - -16399/6. Which is the third smallest value? (a) 49 (b) g (c) -8 (d) -4 (e) -2 e Let g = 0.3495 + -0.7495. Let j be (-366 + -7)*(-1)/(-246). Let w = 2/123 + j. Which is the biggest value? (a) -1/3 (b) w (c) g a Let q = -3351.4 - -3726. Let x = -375 + q. Let i = -12.6 - -14. Which is the smallest value? (a) 4 (b) i (c) x c Let y = -25114 - -25113. What is the second smallest value in 2, y, -120, -0.4? y Let p = -17.014 + 17. Let q = -0.126 + p. Let n = q - -0.2. Which is the third biggest value? (a) n (b) -3/7 (c) 4 b Let r = -2212 - -2209. What is the third smallest value in r, -0.3, -5, 1/4? -0.3 Let s = -11830 + 11830. Which is the second smallest value? (a) 0.09 (b) -82 (c) s c Let j = 27.6 + 117.4. Let r = -148 + j. Which is the second smallest value? (a) -1/6 (b) -0.5 (c) 4 (d) r b Let k = 118638/43 - 2759. Which is the third biggest value? (a) -25 (b) k (c) 0.4 (d) 2 b Let g(p) = -23*p + 82. Let m be g(5). Let y be (-18)/m + (-128)/396. What is the second biggest value in 0.4, y, -2/27? y Suppose x = -y - 12, 4*y + 2*x - 3*x + 38 = 0. Let n be (-3)/y - 1/2. Let f = 1400/13 - 15426/143. Which is the smallest value? (a) n (b) -8 (c) f b Let f = -0.6 + 0.1. Let w = 117.71 - 116.71. Which is the fourth biggest value? (a) w (b) 9 (c) f (d) -0.2 c Let h = 11 - 9. Let m = h + 2. Let b = -263 + 265. What is the third biggest value in -6, b, m? -6 Let v = 19230.2 + -19230. Which is the third biggest value? (a) 0 (b) 49 (c) v (d) 59 c Let q = -272 + 127. Let h = -234 - q. Which is the second smallest value? (a) 5 (b) -1/4 (c) h b Let q = -5854 - -5856. Which is the second biggest value? (a) q (b) 5 (c) 79 b Let u = -50 - -131. Let g be ((-2)/(-10))/(u/135). Which is the third biggest value? (a) -3 (b) -2 (c) g (d) -1/26 b Let v = -37825/7 + 5404. What is the fourth smallest value in -44, v, -8, -3? v Let r = -106.228 + 0.228. Let g = 105.9 + r. What is the third biggest value in g, 0.5, -6/11? -6/11 Let b = -4.07964 + 0.07964. What is the fourth smallest value in 0, -14, b, -6? 0 Suppose 0 = -4*w + 25 + 15. Let j = -4355 - -4355.3. Let t = -0.05 + -0.95. Which is the second biggest value? (a) j (b) w (c) -0.2 (d) t a Let r be 473/(-43) + 0 + (5 - 1). Let d be (6/(-4))/(0 - -4). Let a be 4/6 + (-13)/6. What is the third smallest value in a, r, d? d Suppose -k = 2*k, -h + 3*k + 8 = 0. Let t be (-27)/6 + 4/h. Let q = -776 - -775. Which is the third smallest value? (a) 0 (b) q (c) t a Let q = 19292 + -5382460/279. Which is the smallest value? (a) q (b) 2 (c) 3 a Let x = -6112/15305 + -2/3061. Let j = 14 - 14.2. Which is the third smallest value? (a) j (b) -0.33 (c) x a Let h = -0.103 - -92.103. Let j = -95 + h. Suppose 0 = -4*g + 14 - 30. What is the second smallest value in j, g, 5, -10? g Suppose -10*z - 8 = -14*z. Suppose z*u + 14 = u. Let f be (6/21)/((0 + -2)/u). Which
{ "pile_set_name": "DM Mathematics" }
arrange -48*u**3 - 176*u**3 - 2*u**2 + 2 - 2 - 22*u**3 to the form v*u**3 + q*u**2 + k*u + w and give v. -246 Express -10*c + 35321 - 35317 - 2*c**2 + 5*c**2 as w*c + l*c**2 + g and give l. 3 Rearrange -5*i**3 - 35*i**3 - 9 + 78*i**3 + 0 to h*i + a*i**2 + j*i**3 + c and give j. 38 Express 2*d**3 - 7*d**3 - 4*d**2 + d**3 + 7*d**3 - d**3 + 2 + 2*d**4 in the form p*d + v*d**2 + w + h*d**4 + a*d**3 and give a. 2 Express 1 - 3 + 36*t + 75*t + 1 in the form p + u*t and give p. -1 Express (5*m + 0*m + 0*m + (1 + 0 - 3)*(-2*m - 1 + 1))*(-69 - 27 + 31) in the form d*m + v and give d. -585 Express -13*f**3 - 9*f + 46*f**2 - 46*f**2 + 7*f as m*f**2 + p*f + g + s*f**3 and give p. -2 Rearrange (1 + u - 1)*(100 + 51 - 41)*(-2 + 4 + 4) to f + h*u and give h. 660 Rearrange -9*g**2 + g - 29*g**3 - 23*g**2 + 31*g**2 to the form v*g + a*g**2 + b*g**3 + r and give v. 1 Express (-2*x - x + 6*x)*(-12*x + 13*x + 15*x) - 2*x + 2*x - x**2 as a*x + f + d*x**2 and give a. 0 Express (0 + 2 - 1)*(-43 + 265 - 108)*(-2*m + 2*m - m) as a + u*m and give u. -114 Express (1 - 1 + u)*(2*u + 2 - 2 + (-4 + 3 - 1)*(-442 + 400*u + 442)) + (2 - 2 + u)*(-2*u - 1 + 1) as c*u + i*u**2 + f and give i. -800 Rearrange -g - 851*g**3 + 3*g**4 + 1672*g**3 - 4*g**4 - 849*g**3 to u*g**2 + a + z*g**3 + o*g + h*g**4 and give h. -1 Express -26*j**4 - 1 + 3 + 23*j**4 + 2*j - 15*j**3 - 2 as h + y*j + u*j**2 + a*j**4 + k*j**3 and give y. 2 Express (4 - 3 + 0)*(-75*b + 2*b + 6*b)*((1 + b - 1)*(4*b - 2*b - b) - b**2 - 6*b**2 + 2*b**2) as g*b**2 + i + s*b + t*b**3 and give t. 268 Rearrange 436*d - 62 - 52 - 439*d + (-1 - 3 + 2)*(d - 1 + 1) to a*d + v and give a. -5 Express 5*x**2 + 19*x**2 - 10*x - 5*x + 10*x + 32*x**2 as c + l*x**2 + k*x and give k. -5 Rearrange (66 - 49 - 10)*(-x**2 - x**3 + 0 + 4*x**3 + 2) to the form u*x**2 + w*x + q*x**3 + l and give q. 21 Express 9*t**3 - 443*t**3 - 6 + 25 - 20 in the form i*t**2 + f*t + k + h*t**3 and give k. -1 Express -29*f**2 - f**4 + 29*f**2 + 6*f**3 + (-3*f**3 + 7*f**3 - 2*f**3)*(-3*f + 2*f + 7*f) as n*f**2 + c*f**4 + l*f**3 + g + u*f and give l. 6 Rearrange 7 - 2*b - 5*b**4 + 304*b**2 - 301*b**2 - 5*b**4 to the form t*b**3 + r*b**2 + s*b + c + n*b**4 and give n. -10 Rearrange (-24*t + 36*t + 56*t)*(2 + 8 - 4) to the form a*t + h and give a. 408 Express -36 + 37*b**2 + 6 + 22 as w*b + z + y*b**2 and give z. -8 Rearrange 0 - 9*u**3 + 0 + 2*u**2 - 2*u**2 - u**3 + (34*u**2 - 78*u**2 - 34*u**2)*(0*u + 5*u - 4*u) to the form l + d*u**2 + v*u + j*u**3 and give j. -88 Express -5*w - 6*w**4 + 0*w**3 + 3 + 9*w - 7 - 2*w + w**3 in the form a*w**4 + q + t*w + o*w**3 + f*w**2 and give t. 2 Express (0*k + 0*k - k + (3 - 3 + 2)*(-k + 3*k - k) + 6*k + 2*k - 2*k - 2*k + 12 + 0*k - 15)*(k**2 - 7*k**2 + 3*k**2) as t*k**3 + m*k + q + g*k**2 and give g. 9 Rearrange (0*u + 2*u - 5*u)*(-24840*u + 24840*u - 212*u**3 - 3*u**2) to the form v*u**2 + n*u**4 + d*u**3 + f + q*u and give n. 636 Rearrange 0*z - 5084 - z + 5098 to c + u*z and give c. 14 Express 19*c**2 - 194 - 20*c**2 + 15*c + 194 as i*c**2 + n + u*c and give u. 15 Express (2 + 0 - 1)*(930*r**3 + 5821*r**2 - 5821*r**2 - 1) in the form q*r**3 + o*r**2 + t*r + i and give i. -1 Express s + s - 4*s + (-23*s + 21*s - 12*s)*(-1 + 8 + 11) in the form t*s + z and give t. -254 Rearrange (-4 + 16*b - 9*b + 1)*(-7*b**2 + 2*b**2 - 4*b**2)*(0*b + 6*b + 2*b) to s*b**4 + p*b + t*b**3 + w*b**2 + q and give t. 216 Rearrange 162 + 0*n**2 - 167 + n**2 - 2*n**3 to the form b + t*n**3 + i*n**2 + a*n and give b. -5 Rearrange (373*c**3 + 184*c**3 + 13083*c - 13083*c)*(4 - 3 + 0) to the form x*c + m*c**2 + t + r*c**3 and give t. 0 Express 2 - 43*o - o**2 + 15*o - 6*o**4 + 6*o + 15*o + 18*o as h + m*o**2 + k*o**3 + n*o + i*o**4 and give n. 11 Express 7*y + 0*y + y + (-2 + 3 - 2)*(y - y - y) + 203 + 23*y - 203 in the form d + i*y and give i. 32 Rearrange -422 + 217 + 13*v**2 + 2*v + 209 - 2*v to q*v**2 + m + a*v and give q. 13 Rearrange (-2*x + 1 - 1)*(757*x + 811*x - 1684*x) to d*x**2 + a*x + o and give d. 232 Rearrange 37*t**3 + 13 - 45*t**3 - 4 to the form d*t + q*t**2 + x*t**3 + p and give p. 9 Express 83 + 0*a**2 + 22 + a**2 - 46 in the form q*a + u + p*a**2 and give p. 1 Rearrange 90*a**3 - 177*a**3 - a - 2*a**2 + 102*a**3 to the form c*a**3 + n*a**2 + g*a + w and give g. -1 Express (-12*a - 8*a - 5*a)*((-3 + 2 + 2)*(0*a - 2*a + 0*a) - 1 - a + 1 + (a + 2*a - a)*(7 - 2 - 2) - 2*a + 1 - 1) as b*a + l*a**2 + p and give l. -25 Express 2 - 2 + 107*c - 91*c - 1 - 125*c in the form s*c + f and give f. -1 Express -110*q**2 + 21*q**2 - 2*q + 89*q**2 - 2 + 411*q**3 as i*q**2 + d + h*q + k*q**3 and give h. -2 Express -92 - 89 + 271 - 90 - 92*w**2 in the form h + q*w + b*w**2 and give b. -92 Rearrange -7*n**2 + 20*n**2 - 12*n**2 - 12*n**2 - 1 + 2*n**4 to d*n**4 + u + c*n**2 + x*n + z*n**3 and give z. 0 Express (25 - 25 - 8*t**2)*((-4 + 0 + 2)*(-4*t + t + 5*t) + 3 - 3*t - 3 + t + 4 - 4 + 0*t - t + 3*t) in the form g*t + f + u*t**2 + n*t**3 and give n. 32 Express 1 - 51302*i + 51307*i - 1 - 200*i**2 as r*i + p*i**2 + h and give r. 5 Express h + 0*h - 257*h**2 + 20*h**2 - 2*h**3 in the form n + c*h + w*h**3 + q*h**2 and give c. 1 Express 67*u + 52*u - 173*u - 1 - 3*u + 1 - 2*u + 5*u - 4*u + (-u + 0*u - u)*(-1 + 5 - 2) + 5*u - u - 2*u in the form i + j*u and give j. -60 Rearrange -q**2 + 58*q + 8*q**2 + 91*q - 3*q**2 - 8*q**2 to the form i*q + j*q**2 + b and give i. 149 Rearrange -14 + 10*l**4 + 16 - 89*l**4 - l**2 to a*l + j*l**4 + z*l**3 + t*l**2 + m and give a. 0 Rearrange (-18*m - 10*m - 4*m)*(-5 + 0 + 2*m + 3) to g + j*m**2 + v*m and give v. 64 Rearrange -35 + 139 + 13*s**3 - 31 - 37 + 9*s - 34 to o*s**3 + t*s**2 + q*s + p and give q. 9 Express (-2 + 2 + 2*s)*(2*s + 2 - 2) - 2*s**2 + 3*s**2 - 2*s**2 + 3*s**2 + 3*s**2 - 4*s**2 + (40*s + 33*s - 24*s)*(s - 2*s - s) as i*s**2 + p + a*s and give i. -93 Rearrange 563 - 1106 + 563 - 4*r**2 to the form c*r + q*r**2 + z and give z. 20 Rearrange (2*y + 2*y - 3*y)*(-49 + 78 - 751*y - 28) to the form k + v*y + j*y**2 and give v. 1 Express -49*w**2 - 40935 + 40935 in the form j + p*w**2 + d*w and give p. -49 Rearrange -327*w**2 - 366*w**2 + 965*w**2 to the form c*w + s + r*w**2 and give r. 272 Rearrange n + 0*n + n - 4 + 315*n + 14 - 318*n + (0*n - n + 0*n)*(5 - 2 - 1) + (-2 - 4 + 4)*(0*n - 3*n + 7*n) to p*n + d and give p. -11 Express -15 + 18 - 3*c**3 - 16*c**2 + 21*c**2 in the form d*c**3 + z*c**2 + n*c + o and give d. -3 Express -220*g + 48*g - 458*g + 2*g - 47*g in the form x + h*g and give x. 0 Rearrange (2*w**2 + 4*w**2 - 4*w**2)*(-144*w**2 - 151*w**2 + 330*w**2 + 6)*(1 + 4 - 6) to the form f*w**2 + i*w**3 + v*w**4 + h*w + c and give v. -70 Express (2 - 5 - 4)*(4 + 0 - 2)*(m**2 - 22*m - 730 + 730) as o*m + v*m**2 + l and give v. -14 Rearrange -24 + 3*g**2 + 0*g**2 - g - 46 - 5*g**4 + 4*g**4 to the form t*g**4 + c + u*g**3 + k*g + l*g**2 and give t. -1 Rearrange (168*s + 81*s - 27*s - 3*s + 6*s - 2*s + (3 - 3 - 1)*(-s + 4*s - s))*(-2 + 2*s + 2) to b*s**2 + k + d*s and give b. 442 Rearrange (-n**3 + 4*n**3 - n**3)*(6*n - 6*n - 5*n) - 2*n**4 + 3*n**2 - 4*n**2 + 0*n**4 to d*n**2 + p*n**3 + t + h*n**4 + v*n and give h. -12 Rearrange (3 - 2*x - 3)*(-182 + 73 - 248) to the form n*x + t and give n. 714 Rearrange 1495 - 1494 - 19*i - 14*i to p*i + y and give p. -33 Express (m - 2*m**2 - m)*(-1720*m - 451*m + 813*m) as d*m + x*m**2 + s*m**3 + q and give s. 2716 Rearrange -46*l + 38*l + 72*l**2 + 10*l to the form u*l**2 + g + v*l and give v. 2 Express -187*x**2 + 2*x**3 - 37*x**2 - x**3 + 54*x**2 as j*x + r*x**3 + f*x**2 + l and give j. 0 Rearrange 4 + 435*d**2 - 1231*d**2 - 9 + 4 + d**4 to s*d + r*d**2 + x*d**3 + p + o*d**4 and give p. -1 Rearrange 10082*s**2 - 5048*s**2 - 5047*s**2 + 24*s to m*s**2 + p + z*s and give z. 24 Rearrange u**2 - 9*u**2 - 3*u - 7*u**2 + 5*u**2 + 4*u**2 - 2*u**2 + (0*u + 0*u + u)*(4*u - 6*u + 3*u) to the form w*u**2 + g*u + j and give w. -7 Rearrange 45*q**4 + 23 - 154*q**4 - 25 + (-q + 2*q**2 + q)*(2*q**2 + q - q) to the form c*q**3 + m*q**2 + f*q**4 + h + w*q and give f. -105 Rearrange 0 - 212*l**3 + l - 39 + 213*l**3 - 15 to t + n*l**3 + m*l + i*l**2 and give m. 1 Rearrange -13*y + 9*y + 19*y**2 + 5*y**2 to d*y**2 + u + j*y and give j. -4 Rearrange 11*v - 11*v + 48*v**3 + (-1 + 1 - 2*
{ "pile_set_name": "DM Mathematics" }
l) be the first derivative of -10*l**3/3 - 11*l**2 - 55. Let d(r) = -6*g(r) + 11*q(r). Let b(x) = -23*x**2. Determine d(b(f)). 2645*f**4 Let i(h) = -2*h**2. Let r(d) = -3*d + d - 5 - d + 6*d. Let m(u) = u + 5. Let l(q) = -2*m(q) - 2*r(q). Calculate l(i(t)). 16*t**2 Let j(y) = -5*y**2 + 2555003*y. Let f(k) = 4*k. Calculate j(f(w)). -80*w**2 + 10220012*w Let q = 290 - 286. Let o(p) = -5*p + q*p - 4*p + 10*p. Let g(w) = 11*w. Determine o(g(u)). 55*u Let o(q) = -2*q**2. Let i(d) be the first derivative of 7/3*d**3 + 0*d + 167 + 8*d**2. What is i(o(j))? 28*j**4 - 32*j**2 Let v(j) = 2*j - 5*j - 76*j + 86*j. Let h(f) = -5*f**2 + 9*f. Give v(h(t)). -35*t**2 + 63*t Let s(v) = 0 - 6 - 9 + 5*v. Let x(i) be the second derivative of i**4/12 - 332*i + 8. Give x(s(u)). 25*u**2 - 150*u + 225 Let u(t) = 11*t - 4. Let k(v) be the third derivative of -3*v**4/8 - 2748*v**2. Determine k(u(f)). -99*f + 36 Let i(y) = 2706319*y**2. Let u(j) = j**2. Determine u(i(w)). 7324162529761*w**4 Let d(r) = -12*r + 5. Let l(y) = -7*y + 3. Let g(c) = -3*d(c) + 5*l(c). Let v(h) = -292*h**2. What is g(v(j))? -292*j**2 Let n(t) = -9*t + 15*t + 44*t. Let q(z) be the third derivative of -z**5/12 - z**2 - 5. What is n(q(i))? -250*i**2 Let p(a) = a. Suppose j + j + 2 = -5*r, 0 = j - 5*r + 16. Let v be 83*(-3)/(-12) + j/8. Let t(l) = -8*l + 14*l + 1 - v - 5*l. Give t(p(g)). g - 19 Let n(q) = -2*q. Let o(f) = 532*f - 49*f - 5 + 5 + 221*f. What is o(n(k))? -1408*k Let n(x) = 2*x - 5*x + 0*x. Let d(p) = -p. Let z(r) = 66*r. Let t(j) = 6*j. Let y(a) = -68*t(a) + 6*z(a). Let o(s) = -10*d(s) + y(s). Give o(n(l)). 6*l Let p(h) = 12*h. Let a(o) = -18*o - 4. Let v(f) = 10*f + 2. Let t(d) = -5*a(d) - 10*v(d). What is p(t(w))? -120*w Let t(z) = -19*z. Let p(r) = -616483*r - 2. Give t(p(q)). 11713177*q + 38 Let v(t) = 2*t. Let y(b) = 587*b - 45608. Give v(y(f)). 1174*f - 91216 Let w(p) = 2*p. Let s be -1*(-15)/9*3/1. Let b(d) be the third derivative of -19/60*d**s + 0*d**4 + 0 - 4*d**2 + 0*d + 0*d**3. What is b(w(k))? -76*k**2 Let n(t) be the second derivative of 3*t**4/2 - 5*t**3/6 + 29*t - 21. Let k(p) = 7*p**2. Determine n(k(y)). 882*y**4 - 35*y**2 Let o(l) be the second derivative of 0*l**2 - 11/6*l**3 - 10*l + 2. Let s(h) = -7*h. Determine o(s(w)). 77*w Let c(r) = -83 - 80 - 103 + 266 - 288*r**2. Let g(z) = -7*z. Determine g(c(j)). 2016*j**2 Let o(g) = 2*g**2. Let b(n) = 3. Let z(k) be the first derivative of -k**2/2 - k + 19. Let r(i) = b(i) + 3*z(i). What is r(o(y))? -6*y**2 Let n(x) = -3*x**2. Let j(d) = d**3 - 18*d**2 + 20*d - 3. Let o be j(17). Let i = -38 + o. Let f(h) = -2*h - i*h + 0*h + 5*h. Determine n(f(u)). -147*u**2 Let y(h) = 5*h. Let g(d) = -379*d - 2043. Let z(l) = -152*l - 1022. Let j(p) = -2*g(p) + 5*z(p). Give j(y(x)). -10*x - 1024 Let f(k) be the third derivative of k**6/90 + 11*k**4/12 - 2*k**2 - 26*k. Let d(j) be the second derivative of f(j). Let s(u) = 5*u**2. Give s(d(r)). 320*r**2 Let r(d) = 142*d - 3. Let a(j) = 10895*j. Calculate r(a(y)). 1547090*y - 3 Let a(h) = -4*h**2 + 5*h. Let r(f) = f**2 - 93. Let w(b) = -b**2 + 93. Let u(p) = 2*r(p) + 3*w(p). Let o(z) be the first derivative of u(z). What is o(a(d))? 8*d**2 - 10*d Let o(w) be the first derivative of -3*w**2 + 48. Let c(j) = 1 - 19*j**2 - 1 + 11*j**2 + 9*j**2. Determine c(o(r)). 36*r**2 Let r(k) = k. Let s(x) = 74176524*x**2 - 3*x. What is r(s(h))? 74176524*h**2 - 3*h Let x(g) be the second derivative of 5*g**4/4 + g**3/2 + 6585*g. Let t(u) be the first derivative of 0*u - 2/3*u**3 + 0*u**2 - 3. What is x(t(w))? 60*w**4 - 6*w**2 Let h(w) = -122*w**2. Let y(s) be the first derivative of s**4/6 + 21*s - 113. Let d(u) be the first derivative of y(u). Give d(h(i)). 29768*i**4 Let i(x) = 11*x**2. Let z = -306 + 316. Let a(y) = -2274*y - z*y**2 - 2273*y + 4547*y. Give i(a(v)). 1100*v**4 Let v(f) = -2*f**2 + 204*f - 701037. Let i(o) = -2*o**2. Determine v(i(t)). -8*t**4 - 408*t**2 - 701037 Let y(r) = -11*r**2. Let t(i) = 765451*i**2. Determine y(t(x)). -6445067567411*x**4 Let x(b) = 4*b**2 - 31*b. Let l(w) = w + 14. Let m(j) = -4*j - 77. Let h(z) = 22*l(z) + 4*m(z). Determine x(h(t)). 144*t**2 - 186*t Let r(v) = -v**2. Let p(l) be the second derivative of -l**5/60 + 13*l**3/2 - 74*l**2 + 39*l. Let k(b) be the first derivative of p(b). Give k(r(o)). -o**4 + 39 Let a(x) = 2*x - 51. Let m = 158 + -156. Let l(o) = -2*o**2 + 7*o**m - o**2 - 5*o**2. What is l(a(d))? -4*d**2 + 204*d - 2601 Let n(i) be the second derivative of -7*i**4/6 - 3*i**3/2 - 11957*i. Let c(t) = 2*t. Let a(x) = -2*x. Let w(s) = -3*a(s) - 4*c(s). What is n(w(z))? -56*z**2 + 18*z Let r(u) = 49*u**2 + 15340. Let k(c) = 171*c. What is k(r(b))? 8379*b**2 + 2623140 Suppose -4*m + 31 = -i, -4*i + 18 = -4*m + 58. Suppose -3*k = m*k - 220. Let q(l) = k - 22 - 15*l + 18*l. Let s(a) = 5*a**2. Calculate q(s(p)). 15*p**2 Let y(x) = -45*x + 13420. Let o(b) = -5*b + 1464. Let v(h) = -55*o(h) + 6*y(h). Let a(r) be the second derivative of r**3/3 - r. Give a(v(s)). 10*s Let o(g) = 8*g. Let a(k) = k**2 + 22*k - 6. Let d(r) = r - 1. Let z(c) = -a(c) + 6*d(c). Let q be z(-14). Let t(p) = -p**2 + 28 - q. Determine o(t(b)). -8*b**2 Let t(r) = 663705*r**2 + 4*r. Let k(s) = 13*s. Give t(k(b)). 112166145*b**2 + 52*b Let i(n) = 4*n**2 - 8*n - 4. Let u be i(-4). Let m(w) = 2 - 87*w + u*w - 5. Let c(h) = -h**2. Calculate m(c(k)). -5*k**2 - 3 Let l(c) = 63*c**2 - 33*c - 198. Let r(t) = -2*t**2 + t + 6. Let n(b) = 2*l(b) + 66*r(b). Let j(w) = 106*w + 1. Calculate n(j(k)). -67416*k**2 - 1272*k - 6 Let g(p) = 2*p. Let s(c) = -103284816*c**2. What is g(s(m))? -206569632*m**2 Let q(w) = 477*w. Let z(v) = 5*v**2 + 10*v + 10. Let h(f) = f**2 + 5*f + 5. Let m(r) = 6*h(r) - 3*z(r). Determine m(q(k)). -2047761*k**2 Suppose -f + 70 = -x, -4*f + 252 = -5*x + 8*x. Let t(r) = 12 + f*r - 12 + 58*r + 4*r. Let k(d) = 3*d. Calculate k(t(p)). 384*p Let h(x) be the first derivative of -2*x**2 + 6456. Let z(w) = 30*w. What is z(h(y))? -120*y Let f(n) = 3*n. Let i(t) = 137*t**2 + 4*t - 20. Let q(r) = 136*r**2 + 3*r - 16. Let z(h) = 4*i(h) - 5*q(h). Give f(z(k)). -396*k**2 + 3*k Let n(w) = 3*w**2. Let j(b) = 552014*b + 6. Calculate j(n(o)). 1656042*o**2 + 6 Let s(q) = q + 6. Let y(z) = -2102*z**2 - 16*z - 1. Determine y(s(g)). -2102*g**2 - 25240*g - 75769 Let c(j) = 171317777*j. Let b(q) = -6*q**2. What is c(b(t))? -1027906662*t**2 Let i(f) = 2*f + 11955543. Let j(l) = l. Calculate j(i(x)). 2*x + 11955543 Let k(s) = -2*s. Let u(j) be the first derivative of 131*j**2/2 - 909. Calculate u(k(m)). -262*m Let a(q) = -2*q. Let l(u) = -1102*u - 15. Let y(r) = -543*r - 6. Let v(m) = 2*l(m) - 5*y(m). What is a(v(i))? -1022*i Let t(f) = -19621*f**2. Let q(z) = 2*z**2 + 14*z. Give q(t(i)). 769967282*i**4 - 274694*i**2 Let m(g) = 24*g. Let x(o) = -1027 - 322*o**2 - 1025 + 3077 - 1025. Give x(m(r)). -185472*r**2 Let m(y) = -33593*y**2 + 11191*y**2 + 11200*y**2 + 11195*y**2. Let z(o) = 2*o - 82. Determine m(z(n)). -28*n**2 + 2296*n - 47068 Let n(l) be the first derivative of 20 + 0*l - 1/2*l**2. Let x(s) be the first derivative of -5*s**2 + 14. Determine n(x(b)). 10*b Let q = -7 - -10. Let z(x) = -5*x**2 + 0*x**2 + q*x**2. Let p(g) be the second derivative of -g**3/6 - g - 24. Calculate p(z(k)). 2*k**2 Let t(u) = -u. Let x(o) = -6*o. Let v = 10 + -11. Let r(a) = v*x(a) + 2*t(a). Let g(i) = 3*i**2. Calculate r(g(h)). 12*h**2 Let w(k) = -4300*k. Let g(z) = -z - 928. What is g(w(f))? 4300*f - 928 Let s(l) be the second derivative of 571*l**3 + 3429*l. Let d(r) = -2*r**2. Give d(s(x)). -23474952*x**2 Let z(i) be the first derivative of -8381*i**2 - 936. Let a(p) = -2*p. Calculate z(a(w)). 33524*w Let y(h) = 10063*h - 67567 + 67567 - 3536*h + 14155*h. Let o(l) = l. Give o(y(u)). 20682*u Let j(c) = 4*c - 13. Let k(y) = -2*y + 6. Let u(b) = -6*j(b) - 13*k(b). Let g(q) = 74*q. Let n(x) = 325*x. Let l(h) = -26*g(h) + 6*n(h). What is u(l(s))? 52*s Let r(h) = -59*h - 3. Let y(z) = 93*z + 510. Determine y(r(a)). -5487*a + 231 Let c(n) = 2*n. Let p(q) = -355 - 198*q**2 - 12*q + 12*q + 355. What is c(p(w))? -396*w**2 Let i(r) = 66*r**2 - 20*r**2 - 25*r**2 - 24*r**2. Let b(f) = f**2 - 81*f. Give b(i(j)). 9*j**4 + 243*j**2 Let k(s) = -40*s - 24. Let a(l) = 113*l + 68. Let q(o) = 6*a(o) + 17*k(o). Let g(v) = -v**2 - 13. Determi
{ "pile_set_name": "DM Mathematics" }
- 2*h = -4, -2*t = -4*h - 6186. Is t prime? False Suppose -36*i = -12416 - 229468. Is i prime? True Suppose 10*b = 13*b - 4431. Is b prime? False Let j(r) = -r**2 + 15*r + 12. Let k be j(15). Let q be ((-4)/3)/((-8)/k). Suppose 5*h - q*o = 233, -7*h + 230 = -2*h - 5*o. Is h a composite number? False Let m = 2046 - 581. Is m a composite number? True Let a = 10869 + -7480. Is a prime? True Let q be 3/(1*(-1)/(-11)). Let x = -18 + q. Is x prime? False Let a = 2999 + -1306. Is a composite? False Let f = -2241 + 18112. Is f prime? False Suppose -4*k + 12 = 2*k. Suppose -k*z + 4*z = 1262. Is z prime? True Suppose 6*x = 35275 + 24587. Is x composite? True Let m be 548844/30 - 1/(-5). Suppose v + 4*v = m. Is v a composite number? False Let j(s) = -34*s + 7. Let o(h) = -7*h**2 + 7*h + 2. Let b(g) = g**2 + g. Let x(c) = 6*b(c) + o(c). Let k be x(14). Is j(k) composite? True Let l be (4935/(-30))/((-1)/(-2)*-1). Let b = l - 142. Is b a prime number? False Let w(i) be the third derivative of i**4/24 + 2*i**3/3 + 2*i**2. Let p be w(-2). Suppose r + p*r + 4*s = 257, 5*r + 3*s = 421. Is r a composite number? False Let g(w) = w**3 - 6*w**2 - 15*w - 6. Let x be g(8). Suppose 4*h - 880 = -3*l, -l = 3*h - x*l - 647. Is h a composite number? True Let j = 47398 - 13167. Is j composite? False Suppose 5*p + 5*a = 42745, 25645 = -p + 4*p + 4*a. Is p a prime number? False Let m(j) = 3 - 6 + 5 + j - 3 + 13*j**2. Is m(4) prime? True Let p = -9 + 10. Let v(g) = 42*g**3 + g. Let h be v(p). Suppose u + h - 200 = 0. Is u a prime number? True Let l(f) be the first derivative of 2*f**3/3 - 6*f**2 + f - 7. Suppose -5*z - 2 - 21 = -4*r, 0 = 4*r + z - 53. Is l(r) a prime number? False Suppose 2*r - 5*r = -7389. Is r prime? False Is (-36)/(-8) + -4 + 150093/18 a prime number? False Let n be 1/((-28)/8 - -4). Suppose -n*d = d - 1005. Is d a composite number? True Let y = 3606 - 1565. Is y a prime number? False Let l(x) = 594*x - 7. Suppose -2*r + 21 - 11 = 0. Is l(r) composite? False Let k = 52 + -132. Let q = 16 - -101. Let b = q + k. Is b composite? False Suppose 5*c = u + 25, -5*u + u - 40 = -5*c. Let g = 6 + c. Is g a prime number? False Let j(u) = 29*u**3 + 3*u**2 + 7. Let t be j(-6). Let g = t - -8892. Is g a composite number? True Let v = -2 + 4. Suppose 0 = 12*t - 6*t - 49830. Suppose v*w - 7*w = -t. Is w prime? False Let i = -705 - -2528. Is i a composite number? False Suppose -5*j = -3*j - 18354. Suppose 2*u - 4*u - j = 5*t, -3*t - 5495 = 4*u. Let x = -1246 - t. Is x composite? True Suppose -12022 = -3*c - 14*r + 9*r, 4014 = c - 5*r. Is c composite? True Suppose -4*j = 5*g - 2297 - 6364, -4*g = j - 2179. Is j prime? False Suppose 9 = -2*g - 3*a, -2*a + 9 = 2*g - 5*a. Suppose g = -2*p + 5*p - v + 474, 4*v = 0. Let l = p - -276. Is l a composite number? True Let x be 2/(-2 + 400/195). Let s = 49 - x. Is s a prime number? False Is 21*(-4)/(-12) - -14334 prime? True Let p = 876 + -1348. Let o = p - -246. Let x = o + 381. Is x prime? False Is (11/(11/(-4401)) - 8)*-5 a composite number? True Suppose -w - 251581 = -5*l, 0 = w + 121 - 125. Is l a composite number? True Is (2 - 33/21) + 15968/14 composite? True Is (1/(-4))/(22/(-151624)) composite? False Is 911402/46 - 54/621 composite? False Let w(f) = -83*f - 6. Is w(-11) a composite number? False Let n = -55 + 52. Is (-2 + 1)*(n - 3542) a prime number? False Let g(a) = -a + 1. Suppose -2*k - f - 6 = 4, 4*f - 2 = -2*k. Let u be g(k). Is (u - 5)/(3/34) prime? False Suppose -q = 9 + 15. Let x = q + 101. Is x composite? True Let c(m) = 151*m**3 + 2*m**2 + m - 1. Let f be c(1). Suppose -4*w + 6257 + f = 2*s, 2*s - w - 6410 = 0. Is s prime? False Suppose -4*x + 18362 = -3*k, 5*k - 3*k - 9174 = -2*x. Is x a composite number? True Let s(d) = 34*d**2 - 22*d + 3. Is s(-7) prime? True Suppose 0 = 10*s - 49332 - 73798. Is s a composite number? True Let i(s) = 20*s**3 + s**2 + s + 1. Let t(c) = c**3 - 5*c**2 + 3*c + 6. Let p(o) = -o**3 + 6*o**2 + o - 2. Let q be p(6). Let l be t(q). Is i(l) composite? False Suppose j + 0*o + 3*o - 15 = 0, 7 = j + o. Suppose -2 = j*b + 1. Is 50 + (-3 - b)/2 prime? False Let s = -2655 + 6036. Is (s + 5)*(2 + 3/(-3)) prime? False Let v = -33 + 36. Suppose 0 = -2*g + v*w + 1010 - 384, -2*g - 4*w = -654. Is g prime? False Is ((-30)/30)/(3/(-7173)) composite? True Let k = 1 + 34. Let h be 1/(1/(-1)) + 4. Suppose 0 = 2*a + 2*g + 3 - k, -5*a + h*g = -120. Is a a composite number? True Let u(w) = 11*w**3 + 3*w**2 + 2*w + 1. Let d(h) = -h**2 + 3*h + 2. Let o be d(-1). Let s be u(o). Let r = s + 330. Is r prime? True Let h = -824 - -12783. Is h a prime number? True Let k = -23544 - -63125. Is k a prime number? True Suppose 2*d - 5 = 5*j, d = -4*j + j - 14. Let x(g) = -65*g + 12. Is x(d) composite? False Let u(m) = m**3 + 4*m**2 - 5*m + 8. Let p be u(7). Suppose -62*t + 63*t - p = 0. Let o = t + -175. Is o a composite number? False Suppose 2*v - 3*s = 4543, -7*v + 2259 = -6*v - 4*s. Is v prime? False Let h(l) = l**2 - 11*l + 6. Let p be h(10). Is (p - -1) + (-878)/(-2) + 7 composite? False Let g be (2/3)/((-8)/84). Is 8214/14 - 2/g prime? True Suppose -57*p + 53*p + 8812 = 0. Is p prime? True Suppose 156418 = 15*o - 20237. Is o a prime number? True Let g(u) = 598*u**2 + 9*u + 6. Is g(-3) prime? False Let f(q) = q**3 + 17*q**2 - 6*q + 1. Suppose 0 = 3*c - 7*c - 56. Is f(c) prime? True Let x(p) = -116*p**3 - 4*p**2 - 6*p - 21. Is x(-3) prime? False Let s(p) = 2*p**2 + 24*p + 35. Suppose -4*o = 3*h + 87, -3*h = -3*o + 2*o - 18. Is s(o) a prime number? False Is ((-45)/(-30))/(33885/11292 + -3) a composite number? True Suppose -5*j - 77212 = -2*v - 23250, 5*j = -2*v + 53922. Is v a prime number? False Let m be (-112)/(-12) - (-4)/6. Suppose m = 3*u - 5*l - 6, 2*u = 2*l + 16. Suppose -32 - u = -2*q. Is q composite? True Suppose 0 = -5*a - 5*h + 24315, -2*a - h = 5658 - 15382. Is a a prime number? True Let n(c) be the first derivative of 7 - 13*c + 5*c**2 + 22/3*c**3. Is n(6) a prime number? True Let h(s) be the second derivative of s**4/12 - 13*s**3/6 - s**2 - s. Let t be h(12). Is 44/6*(-147)/t a composite number? True Let m(q) = -3 + 2 + 34*q**2 + 2*q - 4. Is m(3) a composite number? False Suppose -1354 = 3*y + 4*x - 7781, -10725 = -5*y - 4*x. Is y a prime number? False Suppose -5*g + 4195 = -4*f, -23*g + 848 = -22*g + f. Is g prime? False Suppose 0 = 8*m - 12*m + 1492. Is m prime? True Let h(m) = 33*m - 6. Let q be h(6). Let u = q + -79. Is u prime? True Suppose h - 4*w = 1896, w + 2*w + 5670 = 3*h. Suppose -5*m = 5*o + 2330, 2*m - 2*o + h = -2*m. Is (2/(-5))/(2/m) prime? False Let l be (-90)/(-27)*(-12)/(-10). Suppose -t = -l*t - 3*n + 14190, 3*t - 14196 = -n. Is t composite? False Is ((-19927)/5 - (-66)/165)*-1 a prime number? False Let f be 0*((-3)/6 + 0). Suppose o + 286 = 5*o - 2*h, 4*h - 20 = f. Suppose -2*z + 96 = -o. Is z a composite number? True Let r(n) = 2*n**3 - 35*n**2 + 23*n + 77. Is r(25) a prime number? False Let q be (-6 - -2) + 1395 + (-1 - -3). Suppose -q = -8*y + 4183. Is y composite? True Suppose 4*s - 27638 = 2*b - 0*b, 5*b + 27629 = 4*s. Let h = -3126 + s. Is h composite? True Let m(o) = -2232*o - 4. Let a be m(-4). Suppose -3*l = -3*n - a - 346, -9278 = -3*l - 5*n. Is l a composite number? True Suppose -44*q + 278987 = -27*q. Is q composite? False Let z be 7/(-28) + (-185)/(-4). Suppose z = -0*m + m. Is m prime? False Suppose -3*n = 5*h - 22, -5*n - 5 = -h - 23. Suppose -2*q + 2540 = h*q. Suppose j + 4*j - q = 0. Is j a composite number? False Let n(c) be the second derivative of c**3/3 - 9*c**2 + 6*c. Let y be n(10). Is (-2)/(((-8)/42)/y) a prime number? False Let b(o) be the second derivative of 2231*o**5/20 - o**4/12 - o**3/6 + o**2 + 38*o. Is b(1) composite? True Let x = 9 - 6. Suppose 6*w = w + 20, -2*w = -x*c - 23. Is (129/c)/(3/(-15)) a composite number? True Is 141874/(-1)*110/(-220) a prime number? True Is 1/((-4)/(-1269)) + 12/(-48) composite? False Let h be ((-4)/(-6))/((-3)/(-36)). Suppose -h = -4*x + 4. Suppose 6*t - 237 = x*t. Is t composite? False Suppose -601 = -d + 2412. Is d composite? True Suppose 9*y + 46189 = -2699. Let k = y - -8635. Is k composite? False Suppose 5*x = q + 235451 + 195859, 5*x + 3*q = 431330. Is x composite? False Let z(t) = -33*t + 71. Is z(0) composi
{ "pile_set_name": "DM Mathematics" }
14 (b) -5 (c) -0.2 (d) -0.4 (e) -92 (f) -45/7 (g) 0.1 g What is the third biggest value in 0.3, 1/6467, 93? 1/6467 Which is the fourth smallest value? (a) -2 (b) -0.2 (c) -52 (d) 4 (e) 3/35 e Which is the third smallest value? (a) -109 (b) -37 (c) -0.1 (d) -4 (e) -2/7 (f) -30/29 d What is the smallest value in -1/7, 0.12054, -4/3, 3/19? -4/3 Which is the second smallest value? (a) -4/331 (b) 2/3 (c) -4 (d) 1.556 a Which is the fourth biggest value? (a) -1 (b) -61 (c) 5 (d) -1.576 b Which is the smallest value? (a) 42 (b) 4 (c) -0.03 (d) 1 (e) -2 e What is the third smallest value in -0.2, 1.755, -2, 9, -75? -0.2 What is the fifth biggest value in 1, -0.2, 1.1, -2, -32/9, -2.6? -2.6 What is the second smallest value in 27/727, 0.2, -5, -2/15, -0.1, 43? -2/15 What is the second biggest value in -0.3, -3/2, 1705503? -0.3 Which is the smallest value? (a) 29/3 (b) 776778 (c) 5 c What is the biggest value in -3/10, 6.7282, -22? 6.7282 What is the third biggest value in -2, -0.6, 0.1, 0.3, -0.3, 27, -1/3? 0.1 What is the third smallest value in -3, 1, 0.03, 0, 6277, 0.2? 0.03 What is the biggest value in -2, -7, 0.15867527? 0.15867527 What is the third smallest value in -64, 0.08, 2, 1, 216? 1 Which is the sixth smallest value? (a) 4/7 (b) 73 (c) 4 (d) -2 (e) 1/6 (f) -0.32 b Which is the biggest value? (a) -2 (b) 2/15 (c) -4 (d) -1/5 (e) -600.4 (f) 3/7 (g) -4.3 f What is the fourth biggest value in -2/13, 51/1654, -0.4, 0.3, -11? -0.4 Which is the third smallest value? (a) 2 (b) -9/4 (c) -760 (d) 2/9 (e) 27 d Which is the second biggest value? (a) -1860 (b) 0.1 (c) -1/4375 c Which is the smallest value? (a) -14 (b) -0.1 (c) 0.7 (d) 2/3 (e) -0.03162 a What is the biggest value in -0.5, -2, 1, 0.6509, -193? 1 What is the second biggest value in -0.2, -402, 4, -1/4, 1/4, -0.5, -32/9? 1/4 What is the smallest value in 0.1, 5, -4, 1.655, 10? -4 Which is the second smallest value? (a) 46468 (b) 71.4 (c) -0.4 b Which is the fourth smallest value? (a) -1/2 (b) 282 (c) 0.1 (d) 0 (e) -249 (f) -1 d Which is the third biggest value? (a) 2 (b) -68 (c) 5 (d) -135050 b What is the third biggest value in 6, 14, -79447? -79447 What is the second smallest value in -91606, 13.7, 2? 2 Which is the fourth smallest value? (a) -1.3271 (b) 0.093 (c) -0.1 (d) 2 d Which is the third biggest value? (a) 3.344 (b) 7 (c) -3/115 (d) -2 (e) -0.07 c What is the second biggest value in 3/74, -0.0626, 15/2, -0.2, -4? 3/74 Which is the smallest value? (a) -8/3 (b) -0.5 (c) 1323 (d) -1.1 a Which is the second smallest value? (a) -5 (b) 793.115 (c) 4 (d) -0.9 d What is the fifth biggest value in 1/4, 0.3, -0.4, 1926, 24, 11? 1/4 What is the second biggest value in -73, -2749.4, 2? -73 Which is the smallest value? (a) 4 (b) 2.7 (c) 18/1703 c Which is the biggest value? (a) -0.5 (b) 3 (c) 1830 (d) -2 (e) 23 c What is the sixth smallest value in 1/15, -0.4, -15, -2/15, -230, -1.7? 1/15 What is the biggest value in -15513, -4.1, 6? 6 What is the sixth smallest value in -1, 2, 1/2922501, 2/7, -2, -2/5? 2 What is the second biggest value in -82, 15, -2/17, -1, 5? 5 What is the second smallest value in 5, 6/41, -57, 2/15, -0.1, 1.1? -0.1 What is the fifth biggest value in -1, 10, 20, -2, -0.196, 3? -1 What is the third biggest value in 0.22, 2.3, -2/59, 8, -5? 0.22 Which is the biggest value? (a) -7 (b) 2/143 (c) -0.04 (d) -8/3 (e) -52 b Which is the second biggest value? (a) 0.3 (b) 293.6335 (c) -1.6 a Which is the second biggest value? (a) 0 (b) 14 (c) 7066093 b What is the seventh smallest value in 1/3, -1, 22, 21/4, -5, -16, -2/7? 22 Which is the second biggest value? (a) -2/9 (b) -1 (c) 1/6 (d) 3.9 (e) 1370 (f) 3 d Which is the fourth biggest value? (a) 527/3132 (b) 12 (c) -1/8 (d) -0.3 d Which is the fourth biggest value? (a) 4/7 (b) 0.193 (c) 627 (d) 54 b Which is the second biggest value? (a) 0.2 (b) -2/13 (c) -273 (d) 0.05 (e) 2 a What is the second smallest value in 1, -88, -0.06, 0.1, -4, -146? -88 Which is the second smallest value? (a) -80 (b) 4/7 (c) -658/3 (d) 3 a What is the fourth smallest value in -6/11, 0.5, 3, -0.31, -1/6, -2, 2/3? -1/6 What is the fourth smallest value in -821.1, 386, -0.06, -3/4? 386 What is the fourth biggest value in -2/77, 4/3, -4/3, 19, -1.2? -1.2 Which is the second smallest value? (a) 1 (b) 2/7 (c) -4315422 b Which is the second smallest value? (a) -23 (b) 0.1 (c) 4 (d) 0 (e) -0.5 (f) 51.771 e Which is the smallest value? (a) 0 (b) 3/8 (c) -6/5 (d) -5951 (e) 5 d Which is the second smallest value? (a) -22.255 (b) 40 (c) 110 b What is the fifth smallest value in -0.4, 1.6, -5, -1/12, 7.78? 7.78 Which is the second biggest value? (a) -193 (b) -0.2 (c) -70 (d) 44 b What is the fifth smallest value in -551, -4/5, 0, -206, 2/11, -1/4? 0 Which is the smallest value? (a) 3117 (b) 14 (c) -2 (d) -426 (e) 0.3 d What is the second biggest value in -6/7, -312, -0.0199, -0.5, 0.5? -0.0199 What is the third smallest value in -119/2, 2/9, 882? 882 Which is the fifth biggest value? (a) 1.3 (b) -9 (c) -487 (d) -0.2 (e) -2/15 (f) -2 (g) -6 g Which is the third biggest value? (a) -11 (b) -2 (c) 3 (d) -0.5 (e) -34 (f) -9 (g) -2/5 d Which is the third smallest value? (a) 0 (b) -4 (c) 0.1 (d) -5 (e) -5/4 (f) -1174.9 b What is the biggest value in 0, -0.39, 10367? 10367 Which is the fourth biggest value? (a) -1 (b) -1/155 (c) -0.5 (d) 100.1 (e) -1/4 c Which is the fifth biggest value? (a) 3 (b) 0.924 (c) 0 (d) -4 (e) -3/7 (f) 4/13 (g) -0.01 g What is the second biggest value in 0.2, 32.47, 63144? 32.47 What is the smallest value in -3/4, 66367, 0.03, -2/17, 1/4? -3/4 What is the second smallest value in -50/49, 1/4, 0.2, -69, 1, 2, 0.07? -50/49 What is the smallest value in -465.953, 134, -1? -465.953 What is the third biggest value in -0.5, 18448, 0.0102? -0.5 What is the third smallest value in 2, -3, -53, 0.41, -2/5, -2/9? -2/5 Which is the third smallest value? (a) 4 (b) 1/2 (c) -2 (d) 3 (e) -5 (f) -6/11 f What is the fourth biggest value in -0.5, -32, 513.4, -5? -32 Which is the third smallest value? (a) -2/13 (b) 10 (c) 92/789 (d) 54 b Which is the sixth biggest value? (a) 4 (b) 1 (c) -43 (d) 7/4 (e) 2 (f) 0.4 (g) -85 c Which is the smallest value? (a) 0.0092807 (b) -0.0393 (c) 6/7 b What is the second smallest value in 0.5, -4/4895, -15/23? -4/4895 Which is the fourth smallest value? (a) 0.4 (b) -5 (c) 22 (d) 3/5 (e) 2 (f) -2 (g) -803 a What is the fifth smallest value in -0.8, -37, -2/3, -0.5, -49, 3, -2/5? -0.5 What is the second smallest value in -0.7, 0, -49013? -0.7 What is the fourth biggest value in -0.9, 2.547, -3, 1/12, 1, 0.5? 1/12 What is the sixth biggest value in -1/2, -4/7, 0.4, -10, -167, -6, 21/8? -10 What is the third smallest value in 29.87, -585/4, -1/32? 29.87 What is the smallest value in -4, -2, -0.6, -4.46, 0.055? -4.46 What is the fourth smallest value in -181, -0.2, 2/89, 0? 2/89 Which is the smallest value? (a) -654 (b) -5.76 (c) -4 (d) 5 a What is the fourth biggest value in -111, 44, -1, 1, 0.4, 0.087? 0.087 What is the third biggest value in 5, -0.1, -1/2, 4, 0.02, -478, -112? 0.02 Which is the second smallest value? (a) -560 (b) 17/15 (c) 0.4 (d) 2 c Which is the fourth biggest value? (a) 5 (b) 4/3 (c) -10/173 (d) 75/7 (e) -4 (f) 2/5 f What is the biggest value in 67668.4, 0.2, -0.3? 67668.4 What is the biggest value in 16, -0.4, -4, 8476? 8476 What is the third smallest value in -5, 54, -1712127? 54 Which is the third smallest value? (a) 0.1 (b) -28/55 (c) -210 (d) -0.03 d What is the second biggest value in 4, 3605/2, -0.1, -990? 4 What is the fourth biggest value in -4/9, -1/2, -4, -3, -0.1, 0.00035, 2/3? -4/9 What is the second smallest value in 898, -87, 0.5, -5? -5 Which is the third biggest value? (a) 308573 (b) 11 (c) -11 (d) 0.2 d Which is the sixth biggest value? (a) -169 (b) 4 (c) -1/5 (d) 1/8 (e) -0.5 (f) -11 a What is the fourth biggest value in -141458, 3, -2.4, -0.1? -141458 Which is the biggest value? (a) -5 (b) 0.4 (c) -24 (d) 365 (e) -4 d What is the smallest value in
{ "pile_set_name": "DM Mathematics" }
4/8 - m**3/6 - 2524*m**2. Let c(a) be the first derivative of a**2/2 - 1. Calculate 5*c(h) + u(h). 2*h - 1 Let c(m) = 6*m - 10. Let z(p) = 359 + 0*p - 5*p - 633 + 283. Determine 2*c(y) + 3*z(y). -3*y + 7 Suppose m = 5*m + 368. Let q = m + 78. Let a(s) = -4*s + 4*s - 3*s + 2*s**2. Let l(n) = -10*n**2 + 14*n. Give q*a(x) - 3*l(x). 2*x**2 Let q(j) = -9*j**3 + 7*j**2 + 8*j + 141. Let f(u) = 17*u**3 - 15*u**2 - 17*u - 298. Give 6*f(p) + 13*q(p). -15*p**3 + p**2 + 2*p + 45 Let g(c) = 4. Let o(h) = 3*h + 183. What is 2*g(u) + o(u)? 3*u + 191 Let g(f) = -10 + 12*f - 13*f + 4*f - 15*f - 7*f**2 + f. Let n(x) = 3*x**2 + 5*x + 5. Calculate 2*g(i) + 5*n(i). i**2 + 3*i + 5 Suppose 0 = -5*y - 262 + 1157. Let q(w) = -175*w + 7 + 355*w - y*w. Let d(c) = -5*c - 36. Calculate 2*d(x) + 11*q(x). x + 5 Let z(a) = -39*a**2 + 24*a - 24. Suppose 8*f - 26 = 7*f + 3*k, 5*k - 15 = -10*f. Let t(y) = 8*y**2 - 5*y + 5. Calculate f*z(o) + 24*t(o). -3*o**2 Let h(r) = -4*r**3 - 4*r. Let o(u) be the first derivative of 23*u**4/4 + 23*u**2/2 - 950. Determine -34*h(k) - 6*o(k). -2*k**3 - 2*k Let y(m) = -16*m + 6. Let x(f) = -31*f + 12. Calculate -5*x(t) + 11*y(t). -21*t + 6 Let h(g) = -4*g + 9*g**2 + g**2 + 2 + 2. Let q(n) = -19*n**2 + 7*n - 7. Let c = 124205 + -124201. Give c*q(p) + 7*h(p). -6*p**2 Let s(k) = -13*k**2 - 13*k + 11. Let t = -2936 - -5873/2. Let d(z) be the second derivative of 0 - z + t*z**4 - 5/2*z**2 + z**3. Calculate -9*d(h) - 4*s(h). -2*h**2 - 2*h + 1 Let r(c) = -23*c**3 + 9*c**2 + 9*c - 9. Let u(q) = q**2 - 2 + 2*q - 578*q**3 + q**2 + 572*q**3. Let p = 66 - 75. Calculate p*u(s) + 2*r(s). 8*s**3 Suppose 2 - 18 = 4*k. Let j(i) = 15*i - 21. Let d(o) = 19*o - 24. Let v(u) = -5*d(u) + 6*j(u). Let x(h) = h + 1. Give k*x(z) - v(z). z + 2 Let x(a) = -7*a - 4. Let q = 6111 - 6110. Let b(o) = o + 1. Let j = 20 + -13. Suppose -n = 3, 0*n - 4*n = k + j. What is k*b(y) + q*x(y)? -2*y + 1 Let d(p) = 8*p**2 - 8*p - 1. Let j(x) = -x**2 + x. Suppose -217*g + 215*g = 3*s - 6, 0 = -2*s + 5*g - 34. Determine s*d(v) - 18*j(v). 2*v**2 - 2*v + 2 Let f(n) = -15*n + 2262. Let b(w) = 23*w - 3396. Determine -5*b(c) - 8*f(c). 5*c - 1116 Let d(n) = -2*n**2 - 23*n + 134. Let m(c) = 4*c**2 + 40*c - 134. Determine -3*d(s) - 2*m(s). -2*s**2 - 11*s - 134 Let h(r) = 465*r - 27. Let u(k) = -2*k - 3. Determine -2*h(w) + 18*u(w). -966*w Suppose 3*q + 3*v + 54 = 0, -5*q + 3*v - 14 = -4*q. Let s(n) = -68*n**3. Let l(j) = -23*j**3. Determine q*l(a) + 6*s(a). -17*a**3 Let j(h) = 31*h - 9. Let g(l) = -16*l + 5. Suppose 0 = 2*k - 30*k + 168. What is k*j(p) + 11*g(p)? 10*p + 1 Let j(i) = -25*i**3 + 5*i**2 + 5*i + 4. Let z = 4445 + -4452. Let g(d) = 38*d**3 - 7*d**2 - 7*d - 6. What is z*j(w) - 5*g(w)? -15*w**3 + 2 Let v(o) = -6 + 3 + 2. Let u(r) = 7*r + 7. Suppose 8*j - 38*j - 23*j = -371. Give j*v(m) + u(m). 7*m Let a(p) = p + 1333 + 2*p**2 + 2*p - 1330 - 5*p**3 - 5*p**2. Let f(k) = -16*k + 5 + 15*k + 6*k - 5*k**2 - 9*k**3. Determine 5*a(b) - 3*f(b). 2*b**3 Let d(v) = -53*v**3 + 1 - 9*v**3 - 4*v**2 + 66*v**3. Let r(b) = 8*b**3 - 9*b**2 + 2. Determine -5*d(y) + 2*r(y). -4*y**3 + 2*y**2 - 1 Let o(l) = -1286*l**3 + 96*l**2 - 2*l - 1. Let s(v) = 1287*v**3 - 144*v**2 + 3*v + 1. Determine -6*o(j) - 4*s(j). 2568*j**3 + 2 Let i(j) = -j**2 + 18*j - 66. Let b(h) = -55*h - 379. Let w be b(-7). Let u be i(w). Let c(s) = -14*s. Let f(l) = -7*l. Determine u*c(m) - 14*f(m). 14*m Let v(a) = 137*a - 2739. Let j be v(20). Let x(p) = -p**2 + p - 1. Let g(u) = 2*u**2 - 6*u + 1. Determine j*g(s) + 3*x(s). -s**2 - 3*s - 2 Let b(m) = m + 1. Let d(a) = -26*a + 3. Let v(f) = 341*f + 681. Let r be v(-2). Calculate r*d(s) + 4*b(s). 30*s + 1 Let z(u) be the third derivative of -u**4/24 + 11*u**3/6 - 500*u**2. Let j(f) = f - 12. What is 6*j(t) + 5*z(t)? t - 17 Let a(w) = -2*w**3 + 1. Let q(k) be the second derivative of -k**4/24 + 19*k**3/6 + 69*k. Let n(t) be the second derivative of q(t). What is -a(d) - n(d)? 2*d**3 Let l(b) be the second derivative of -b**3/6 - b**2/2 - 5909*b - 2. Let v(y) = y**2 + 2*y + 2. What is 11*l(i) + 6*v(i)? 6*i**2 + i + 1 Suppose 3 = -39*n + 41*n - 3*z, 5*z - 39 = -4*n. Let c(y) = y + 1. Let u(i) = i**2 + 8*i + 6. Let x = 323 + -324. What is n*c(j) + x*u(j)? -j**2 - 2*j Let p(x) = -23*x**2 - 15. Let h(u) = 6*u**2 + 4. Suppose 2*t - 112 = -5*f, 0 = -4*f + t - 40 + 127. Calculate f*h(w) + 6*p(w). -6*w**2 - 2 Let h(a) = -5*a - 4. Let z(d) = 24*d + 25*d - 1 + 19*d - 16*d - 53*d. Suppose -3*w - 3 = 0, w - 4*w - 13 = 5*y. What is y*z(f) + h(f)? -3*f - 2 Let a(y) = 36*y - 1585. Let i be a(44). Let k(w) = -6*w + 5. Suppose -2*b + 0*b - 2 = 4*l, 3*b - l = -10. Let u(m) = m - 1. Calculate b*u(v) + i*k(v). 3*v - 2 Let o = 7983 + -7977. Let m(f) = -8*f**2 - 4*f - 5. Let d(b) = -15*b**2 - 7*b - 9. Calculate o*d(r) - 11*m(r). -2*r**2 + 2*r + 1 Let w(n) = 7*n - 7. Let k(s) be the second derivative of 2*s**3/3 - 2*s**2 - s. Suppose -4*c - 2*b + 34 = 0, -35*c = -32*c + 2*b - 28. What is c*w(j) - 11*k(j)? -2*j + 2 Let f(z) = z - 1. Let n be 1/(-7) + 1/7. Suppose n*u = u - 4*g + 20, -3*g = 5*u - 15. Suppose -43*q + 42*q + 6 = u. Let p(w) = -3*w + 6. Give q*f(a) + p(a). 3*a Let i(l) = -26*l**2 - l + 79. Let q(m) = -18*m**2 - m + 52. What is 5*i(f) - 8*q(f)? 14*f**2 + 3*f - 21 Let w(b) = 1776*b**3 + 9*b**2 + 41*b. Let a(i) = 444*i**3 + 2*i**2 + 9*i. Determine 9*a(o) - 2*w(o). 444*o**3 - o Let b(l) = -14*l**2 - 36*l + 70. Let o(j) = -6*j**2 - 16*j + 35. Calculate -4*b(i) + 9*o(i). 2*i**2 + 35 Let o(i) = 7*i - 3. Let z(u) = 6*u - 129. Let l(c) = -4*c + 103. Let f(t) = 5*l(t) + 4*z(t). Give 5*f(q) - 2*o(q). 6*q + 1 Let l(j) = -1. Let p(t) = 1 - 5 - 5 - t + 21 - 6. Give 4*l(w) + p(w). -w + 2 Let p(d) = d**3 - 14*d**2 - 15*d - 2. Let k be p(15). Let r(q) = -150 + q**2 - q + 2*q + 149. Let o(s) = -4*s**2 - s + 1. Determine k*r(t) - o(t). 2*t**2 - t + 1 Let k(i) = i + 6*i - 15*i**3 - 7*i**2 - 45*i**3 - 1. Let l(t) = -20*t**3 - 2*t**2 + 2*t. What is -2*k(w) + 7*l(w)? -20*w**3 + 2 Let z(x) = 6*x**2 + 5*x + 3. Let a(v) = 5*v**2 + 4*v + 2. Let g = -7 + 13. Suppose 0 = -2*s - g, 3*r + 9*s = 4*s. Determine r*a(k) - 4*z(k). k**2 - 2 Let o(y) = -23*y**2. Let x(s) be the third derivative of 19*s**5/20 - 5*s**2 - 15. Determine -12*o(j) - 5*x(j). -9*j**2 Let d(t) = 6*t. Let m(h) = -13*h - 1. Let w(b) = -7*d(b) - 3*m(b). Let x(a) be the second derivative of -a**2/2 + 3032*a. Give -w(u) - 3*x(u). 3*u Let l(y) = y**2 + y + 2. Let z(o) = 92*o**2 - 11*o - 8. Calculate 3*l(x) + z(x). 95*x**2 - 8*x - 2 Let z be (175/28 - 7)/(6/32). Suppose 0 = -3*j + 4 + 5. Let s(w) = -w + 5. Let t(d) = -2*d + 6. Determine j*t(c) + z*s(c). -2*c - 2 Let l(z) = 343*z**2 + 12*z + 5. Let s(g) = 2*g**2 + 3*g + 1. Determine -l(w) + 4*s(w). -335*w**2 - 1 Let n(r) = -2*r**3 - 15*r**2 + 2*r - 4. Let l be ((-1 - -4) + 8 + 299/(-26))*4. Let t(p) = -p**3 - 7*p**2 + p - 2. Give l*n(d) + 5*t(d). -d**3 - 5*d**2 + d - 2 Let c be 1*9 + 742/106. Let y(f) = 11*f + 6*f + 0 + 5 - 6 - c*f. Suppose s = 4*s - 4*q + 50, 4*s = 4*q - 72. Let b(t) = -13*t + 11. Calculate s*y(j) - 2*b(j). 4*j Let f(u) = -5*u. Let w(x) = 2*x - 48 + x + 103 - 55. Let s(v) = -6*v + 16. Let l be s(3). What is l*f(t) - 5*w(t)? -5*t Let q(p) = 13*p. Let o(a) = 175*a + 1. Determine -5*o(f) + 35*q(f). -420*f - 5 Let c be ((9/30)/(-3))/((-62)/(-620)). Let l(u) = -17*u**2 + u - 1. Let n(d) = -d + 1. Give c*l(r) - n(r). 17*r**2 Let o(b) = -b**3 + b + 1. Let m(j) = -12. Suppose 5*g + 47 - 57 = 0. What is g*o(q) - m(q)? -2*q**3 + 2*q + 14 Let g(o) = -2*o - 3. Let b be 2/4 + (-3)/(-2). Let z(w) = -25. Suppose 0 = 15*q - 274 + 19. Let u(i) = -71. Let d(p) = q*z(p) - 6*u(p). Calculate b*d(x) + g(x). -2*x - 1 Let b(j) = -114*j - 38. Let a(u) = -9*u - 3. Let d(k) = -50*a(k) + 4*b(k). Let l(m) = -11*m - 5. Give -7*d(i) + 3*l(i). 9*i - 1 Let v(d) = 2*d**3 - 6*d**2 - 5*d + 48. Let c(k) = 6*k**3 - 17*k**2 - 14*k + 141. Give -6*c(p) + 17*v(p). -2*p**3 - p - 30 Suppose 0 = 168*o - 137*o + 403. Suppose 2*i + 5*s - 27 = 0, 2 = 2*i - 2*s - 4. Let h(d) = -7*d**2. Let z(m) = -3*m**2. Calculate i*h(b) + o*z(b). -3*b**2 Let o(t) = -7*t**3 + 3*t**2 - 3*t - 1. Suppose -320*c + 2464 = -12*c. Let w(n) = -21*n**3 + 8*n**2 - 8*n - 2. What is c*o(u) - 3*w(u)? 7*u**3 - 2 Let l(g) = -767 + 334 - 8*g + 454. Let w(y) = -y + 1. What is l(m) - 6*
{ "pile_set_name": "DM Mathematics" }
ivide -1814 by 3. -1814/3 Divide -37928 by -862. 44 -8228 divided by 34 -242 What is 4005517 divided by 5? 4005517/5 Calculate 0 divided by -140100. 0 Divide 21990 by 7. 21990/7 Calculate 207550 divided by 4. 103775/2 Calculate 2679600 divided by -6. -446600 Divide -10866 by -10866. 1 19482 divided by 9741 2 What is 40262 divided by -20131? -2 Calculate 0 divided by -21476. 0 Calculate 140452 divided by -1924. -73 396 divided by -43 -396/43 327837 divided by -1 -327837 Calculate 15015 divided by -17. -15015/17 -3190056 divided by 4 -797514 -9027 divided by 21 -3009/7 Calculate -5340260 divided by -2. 2670130 Divide 347475 by -13899. -25 Divide -124 by 10. -62/5 What is -16857 divided by 6? -5619/2 What is -28 divided by -1553? 28/1553 What is 23 divided by 2554? 23/2554 Calculate -1431 divided by -44. 1431/44 What is -49206 divided by 10? -24603/5 Divide -13013 by 13013. -1 Calculate -39 divided by -6. 13/2 0 divided by 6065 0 Calculate -41755 divided by -1. 41755 What is -75530 divided by 2158? -35 Divide -46 by -836. 23/418 Divide -882 by -534. 147/89 What is 72288 divided by -288? -251 What is 23328 divided by 729? 32 -116996 divided by 6 -58498/3 What is 5763354 divided by 489? 11786 Calculate -132362 divided by 34. -3893 Divide -648440 by 145. -4472 Divide -481680 by -120420. 4 Calculate -4480 divided by 16. -280 -198 divided by 3688 -99/1844 Calculate 254175 divided by -50835. -5 What is -1 divided by 19330? -1/19330 Calculate 157 divided by 1. 157 152 divided by -4149 -152/4149 -18674 divided by -12 9337/6 What is 5 divided by -18987? -5/18987 What is -520 divided by 70? -52/7 Calculate -12537 divided by 12. -4179/4 Divide -284960 by 142480. -2 Calculate 17 divided by -344304. -17/344304 Calculate -2514 divided by -266. 1257/133 -22 divided by 2612 -11/1306 Divide -111190 by 2. -55595 What is 182344 divided by 4? 45586 75864 divided by 4 18966 What is 1658390 divided by -866? -1915 Calculate 2 divided by -833262. -1/416631 Divide -2846659 by -1. 2846659 3808 divided by 8 476 Divide 1 by -185579. -1/185579 Divide -13988 by -26. 538 Calculate 4 divided by -9358. -2/4679 Divide 20108 by -11. -1828 Divide -520701 by -14073. 37 Calculate 305508 divided by 10911. 28 0 divided by 21734 0 Divide -1033 by 1. -1033 Calculate -3356 divided by 107. -3356/107 Divide 5 by 261369. 5/261369 Calculate -549057 divided by -5. 549057/5 Calculate -88 divided by -1704. 11/213 21282 divided by -3 -7094 -1784328 divided by -114 15652 What is -152 divided by -40? 19/5 -24084 divided by 36 -669 -19443 divided by 2 -19443/2 -2956006 divided by 1478003 -2 What is 2 divided by -13686? -1/6843 What is -23763 divided by 267? -89 Divide 6004 by 1501. 4 Calculate 385 divided by -355. -77/71 Calculate -79792 divided by 19948. -4 Divide -435860 by 4. -108965 759 divided by -106 -759/106 Calculate 1237496 divided by -618748. -2 Calculate -344544 divided by -3. 114848 1097492 divided by 274373 4 Divide 144419 by -5. -144419/5 2306 divided by 881 2306/881 1608880 divided by -22984 -70 Calculate -6938 divided by -23. 6938/23 14 divided by 41816 7/20908 What is 631 divided by -16? -631/16 -15611 divided by -3 15611/3 Divide 109160 by -4. -27290 Divide -264796 by 18914. -14 Calculate 20 divided by 2425. 4/485 What is -53 divided by 36345? -53/36345 Calculate 43806 divided by 5. 43806/5 Divide 1 by -1116427. -1/1116427 Calculate 851 divided by 87. 851/87 885 divided by -5 -177 Calculate -5 divided by 15780. -1/3156 What is -342000 divided by -85500? 4 What is -5 divided by 358751? -5/358751 -1360680 divided by -4 340170 Calculate 6 divided by -987105. -2/329035 What is -71 divided by -6? 71/6 What is 2 divided by 4182? 1/2091 -1 divided by 18570 -1/18570 Calculate 396762 divided by -3. -132254 65023 divided by -49 -1327 Divide -18970 by 3. -18970/3 Calculate 13500 divided by -2. -6750 What is -74173 divided by -11? 6743 -1519455 divided by -87 17465 What is 120 divided by -19305? -8/1287 231856 divided by -16 -14491 Calculate 157845 divided by 255. 619 Divide -58682 by -1586. 37 -8548 divided by 4274 -2 1509 divided by -8 -1509/8 3063 divided by 3 1021 Divide -53 by -2953. 53/2953 What is 42 divided by 1427? 42/1427 Calculate 27597 divided by -1. -27597 -2937945 divided by -3 979315 -634095 divided by 211365 -3 1931868 divided by 6 321978 Divide 33008 by 70. 16504/35 Calculate 39147 divided by 1. 39147 Calculate 103054 divided by 2. 51527 3 divided by -66924 -1/22308 -18475 divided by -1 18475 -5 divided by -201261 5/201261 What is 458232 divided by 2? 229116 Calculate -132300 divided by -294. 450 31 divided by -8328 -31/8328 Divide -428550 by -2. 214275 Calculate 82044 divided by 6. 13674 Divide -23655 by -83. 285 Calculate -91330 divided by 2. -45665 What is -96 divided by 16? -6 0 divided by 905210 0 Divide -64168 by -3. 64168/3 Calculate -5 divided by -3368. 5/3368 Divide -2 by 911175. -2/911175 Calculate -36013 divided by -17. 36013/17 Calculate 210 divided by -978. -35/163 Divide -568575 by 1805. -315 1031042 divided by -13933 -74 Calculate 12 divided by -5698. -6/2849 -6888 divided by -12 574 What is 1067808 divided by -44492? -24 Divide 88 by -2438. -44/1219 Calculate 388975 divided by 77795. 5 Divide -735 by 751. -735/751 What is -1 divided by 20406? -1/20406 Divide 3 by -82778. -3/82778 -405048 divided by -135016 3 Divide 2772 by -28. -99 -2912 divided by -16 182 -540320 divided by -1228 440 Divide 121114 by -121114. -1 Calculate -214449 divided by -7. 214449/7 Calculate 4 divided by -85481. -4/85481 What is -115368 divided by 4807? -24 What is -344 divided by -228? 86/57 Divide -131940 by 15. -8796 Divide -1783754 by -206. 8659 Calculate -3795075 divided by 1265025. -3 877 divided by -1241 -877/1241 4 divided by -70186 -2/35093 What is -256 divided by -1092? 64/273 Calculate 662476 divided by 165619. 4 Calculate 3604601 divided by 277. 13013 Divide -567 by -21. 27 What is 2930 divided by 147? 2930/147 What is 7 divided by 603? 7/603 -1 divided by 61141 -1/61141 165546 divided by 55182 3 -675824 divided by 1 -675824 What is -6240 divided by 8? -780 Divide -18 by 18926. -9/9463 Calculate 792056 divided by 1094. 724 Calculate 20 divided by -2567. -20/2567 Divide -354432 by -71. 4992 Calculate -167824 divided by 5. -167824/5 What is -221 divided by -898? 221/898 4926 divided by 104 2463/52 Divide 4057881 by 1352627. 3 Calculate -2311858 divided by 4. -1155929/2 Calculate -5 divided by -29923. 5/29923 Calculate 194870 divided by -4. -97435/2 What is -3614 divided by 13? -278 Divide 25 by 12668. 25/12668 -2 divided by 178047 -2/178047 Divide 17 by 18079. 17/18079 What is -307589 divided by -3? 307589/3 Calculate -890905 divided by 5. -178181 What is 96 divided by 187? 96/187 Divide 63216 by -3. -21072 -6767052 divided by -3 2255684 Divide -12116 by 41. -12116/41 121032 divided by -1 -121032 Calculate -3284352 divided by -3. 1094784 What is 2140104 divided by -23262? -92 What is -27070 divided by 14? -13535/7 Calculate 232978 divided by 5. 232978/5 What is -541898 divided by -6? 270949/3 Divide 46652 by 56. 11663/14 Divide 2875 by -23. -125 Calculate 0 divided by -273969. 0 What is 10260 divided by 95? 108 Divide 328480 by 5. 65696 What is -64215 divided by -1427? 45 What is 2723214 divided by 209478? 13 Divide -37750 by -5. 7550 Divide -133155 by -5. 26631 Calculate -58541 divided by 5. -58541/5 What is 9166 divided by -3? -9166/3 Divide 33 by 4678. 33/4678 What is -47192 divided by -1? 47192 Calculate 67204 divided by 16801. 4 What is -10 divided by 12494? -5/6247 Calculate 2 divided by 311940. 1/155970 -331208 divided by -152 2179 Divide -435892 by 1847. -236 Divide -1402 by 701. -2 What is -1298814 divided by -2? 649407 Calculate -4767532 divided by 1346. -3542 Divide -36829 by -13. 2833 876 divided by -4 -219 Calculate 8 divided by 189193. 8/189193 What is -1754 divided by -1? 1754 Divide 441269 by 3. 441269/3 What is 19 divided by -5101? -19/5101 Calculate 4 divided by -5815. -4/5815 Divide -654 by -218. 3 Divide 7 by -26573. -7/26573 Calculate -1094568 divided by 8. -136821 Calculate 62 divided by 1849. 62/1849 Divide -12784 by 158. -6392/79 -24882 divided by -20 12441/10 Calculate 2 divided by -700966. -1/350483 Divide -11135 by -5. 2227 Divide 3 by 65463. 1/21
{ "pile_set_name": "DM Mathematics" }
/10 Evaluate ((-4)/2)/((38092/1513)/214). -17 Evaluate (4/(-10))/(13902/1181670). -34 Evaluate (2/(-9))/((12/69)/((-1770)/(-210335))). -1/93 What is (75/(-84))/5*(-44)/1650*15? 1/14 What is ((-276)/(-170016))/(5/20*4*(-1)/(-8))? 1/77 What is 5/20*2*(291/(-776))/(9/(-272))? 17/3 What is the value of ((-738)/(-1640))/((702/24)/13)? 1/5 What is the value of ((-6)/27)/2*225/(-10)*172/(-3225)? -2/15 (138/92)/(((-2)/78)/(12/18)) -39 Calculate -126*-7*(304/168)/(-38). -42 What is the value of ((1044/(-168))/(-9*11/132))/(10/140)? 116 What is the value of ((168/35)/(-3))/((-19)/((-1805)/247))? -8/13 What is the value of 5/27*1*-5*(-20)/250? 2/27 Calculate 15/(40/((-2480)/93)). -10 Calculate (-264)/572*1456/(-48). 14 What is the value of (-3)/((11/(-44))/((-6)/456))? -3/19 Calculate 2*6/(-9)*567/32508*-1*2. 2/43 Calculate (7329/(-48860))/((-138)/(-280)). -7/23 Evaluate (2/(-12))/((-935)/7854)*(-5)/(-1). 7 Evaluate (-13616)/(-1480)*(-2)/4. -23/5 Calculate (12/22)/(((-56)/(-210))/((-15)/(450/(-44)))). 3 What is 6*36/(170856/(-14))? -2/113 Evaluate 261*(-1)/(-6)*20/150*-5. -29 ((-136)/8)/(1564/(-7268)) 79 Evaluate ((-131)/((-74277)/1386))/(2/9). 11 What is 245/(-42)*(-12)/28*52*6/(-60)? -13 Calculate (402/1474)/(441/(-2541)). -11/7 What is 3/4*((-21)/(-252)*36)/(-9)? -1/4 Evaluate ((-53793)/278)/(171/(-38)). 43 What is ((8/(224/(-12)))/(114/(-11305)))/((-10)/(-20))? 85 What is ((-28)/56)/(((-6431)/(-13570))/(-109))? 115 Evaluate ((-195)/390)/((-82)/8). 2/41 Evaluate (2021/(-47))/215*65. -13 Evaluate (50/(-1235)*2/5)/(97/(4462/92)). -2/247 Calculate ((-318)/8268)/((-4)/(-26))*92/1. -23 Calculate 140*(-117)/63882*9/5. -6/13 Calculate (-86)/(-129)*15/2*84/140. 3 Evaluate 14/(-10)*(-1300)/65*(-1)/((-16)/28). 49 Evaluate (-13)/((40/(-200))/(14/5)*-14). -13 Evaluate 6/(-32)*1300/(-585)*36/(-20). -3/4 What is (113832/465)/(-204)*10/(-147)? 4/49 What is the value of (-95)/349125*-125*(2/3)/((-60)/(-27))? 1/98 What is the value of 9*2/20*((-840)/45)/(-14)? 6/5 What is ((13/((-364)/32))/1)/((-49)/(4116/(-360)))? -4/15 Evaluate 7/(-4)*(-77)/((-34496)/128)*-78. 39 Evaluate -3*(-340)/(1632/96). 60 Calculate ((-1)/((-30)/10*3))/((-190)/(-45)). 1/38 (-82)/2*(-126)/(-126) -41 (-64)/((-1024)/(-40))*(-14)/(-1) -35 Evaluate (6/(-9))/(34*54/5508). -2 What is (-248)/192*12*1/(-31)*44/(-14)? -11/7 What is ((-1916)/142742)/((16/4)/4)? -2/149 Evaluate ((-1)/(-114))/(5/25*100/(-240)). -2/19 Evaluate (53159/(-212))/(-59)*(-48)/(-20)*245/21. 119 What is the value of -2*(16074/(-1539))/(8/(-18))? -47 What is (-18)/(-338)*(-155480)/(-17940)? 6/13 What is ((-3)/((-6)/2))/((-101)/(-202))*(-37)/(-2)? 37 (880/165)/(8/(-4)*1) -8/3 What is (2*1/(-7))/((-47)/6392*72/63)? 34 What is 256/384*((-18)/1)/((-8)/(-34))? -51 Evaluate (60/4)/(10/(-8)*(-3498)/(-265)). -10/11 Evaluate (((-145915)/110)/379)/(14/(-4)). 1 What is 46/6*3624060/(-731170)? -38 What is ((49200/(-750))/(-164))/((-3)/((-255)/(-2)))? -17 What is the value of 53/(11660/360)*(10/(-4))/(135/(-594))? 18 Evaluate (-3)/(9/(-4))*((-9991)/103)/(-776). 1/6 Calculate (1001/22)/((-143)/242). -77 What is the value of ((-4)/(-11)*4301/782)/(1/3)? 6 (-27*(-164)/370845)/(2/1*2/10) 2/67 Calculate 2*2/(-12)*160524/(-588). 91 Evaluate (-9)/(-6)*-2*-13*(-4)/(-66)*55. 130 What is ((-69202)/59316)/((1*-2)/(-18))? -21/2 (436/(-1526))/((-12)/(-105))*94/5 -47 What is the value of (-2)/((-18)/141)*(2496/(-260))/16? -47/5 What is the value of (-32)/192*6/(-9)*(-264)/(-33)? 8/9 (((273/(-14))/13)/3)/((-61)/5490) 45 What is the value of (24211/(-341))/((((-6)/(-3))/8)/((-1)/4))? 71 Evaluate ((-3)/(-1))/(194/(-3783)*1/2). -117 Evaluate (18/15)/((-131)/(972020/318)). -28 Evaluate 1488/(-186)*(-6)/(-276). -4/23 Evaluate 4*-24*189/1296. -14 (3/((-7)/(-7)))/(27/(-639))*(-80)/(-40) -142 Calculate ((-27)/(-270))/(43/(-258)). -3/5 What is the value of (-4459910)/(-70980)*54/39? 87 Calculate (915/(-305))/((-12)/(-224)). -56 Evaluate -208*(-48)/1560*((-75)/(-20))/1. 24 Evaluate 54/(-15)*85825/(-339867). 10/11 What is the value of (((-429)/(-13))/(-1))/(3/(-3))? 33 What is the value of 23376/7305*7/16? 7/5 What is the value of (-252)/(-954)*(-3)/(-6)*(-64)/(-448)*-5? -5/53 Calculate (8595/(-191))/(-1*35). 9/7 Calculate (-3)/(-5)*-6*(-205)/1845*(-9)/2. -9/5 What is (3/((6/8)/(-1)))/((1863/(-1539))/23)? 76 What is (-9)/(-12)*643356/(-7659)? -63 What is (129395/7394)/(10/4)? 7 Calculate (190542/(-23096))/(6/(-1)). 11/8 What is the value of (1575/(-189))/(-25)*558/6? 31 Calculate (11*(-21)/462*(-190)/5)/1. 19 Evaluate 3840/(-480)*(-10)/(1*-2)*72/2448. -20/17 Calculate ((-1)/(-11))/(21520/(-88770)). -3/8 What is 40*75/400*4/12*32? 80 Calculate (428/(-2354))/(284/(-44)). 2/71 What is the value of 4/(4/(-1))*(-57)/(-285)*10? -2 Calculate (-1)/(20/(-4690))*21/(3087/(-42)). -67 What is 25/(-8)*15148/2705*2*1/1? -35 Calculate ((2835/(-2550))/21*12/(-27)*-15)/(-1). 6/17 330/(-286)*13*1 -15 ((-2466)/(-959))/((-117)/(-1456)) 32 What is the value of (((-90)/75)/((-96)/(-36)))/((-3)/6)? 9/10 Calculate ((-21672)/315)/(-86)*(5/3)/(5/90). 24 Evaluate ((-37)/((-4218)/(-532)))/(-14). 1/3 ((2/4)/((-10)/10))/(-33*153/(-594)) -1/17 What is ((-180)/(-10))/(((-1)/6)/(10*29/18270))? -12/7 What is the value of (1804/(-209))/(5/((-190)/(-4)))? -82 Calculate (-54)/(-120)*(6/(-6))/((-1)/(-12)). -27/5 What is the value of (-608)/228*9/264? -1/11 What is the value of -80*((-1064)/(-190))/(-28)? 16 Calculate (-136)/(204/(-6))*74*((-99)/(-18))/(-11). -148 What is the value of (18080/1814780)/((-4)/22)? -4/73 Evaluate 80/36*-28*(-495)/1540. 20 Evaluate ((-25)/(-15))/(395/(-11376)). -48 What is (2035/11)/((-24)/(-12)*(390/12)/13)? 37 Evaluate -1*(0/(-2))/(-1)*46/92. 0 What is (-56*1*68/(-408))/((-3)/(-9))? 28 What is 45/12*(51/(-34))/(1*9/(-72))? 45 What is the value of 161*1605/7490*20/(-6)? -115 Evaluate 8/(-6)*2*((-66)/(-330))/((-28)/(-7)). -2/15 Calculate (5/(350/48))/((891/810)/(33/(-9))). -16/7 What is -16*(82289/568)/61? -38 Calculate (-20*50/2000)/(4/(-152)). 19 What is the value of ((-78)/10)/(-50*(-201)/1340*(-2)/20)? 52/5 What is the value of ((776/20370)/(2/(-6)))/(2/(-119))? 34/5 What is the value of ((-2775)/(-86025))/((-2)/(-6758))? 109 What is (((120/(-49))/5)/((-91)/(306397/74)))/(-2)? -78/7 Calculate (948/(-1185))/((-20)/(-650)). -26 What is ((21372/104)/(-411))/(((-1)/17)/1)? 17/2 What is the value of (((-18)/(-132))/(9/(-1)))/(((-264)/3)/1760)? 10/33 Calculate (-2*(-2)/(-8))/((-8899)/(-12944)). -8/11 Calculate ((184/21)/(-23))/((-48)/28). 2/9 Evaluate -350*(-75)/56250*15/1015. 1/145 Evaluate (((-18)/(-315))/(-5*11/(-1155)))/(2/115). 69 Calculate (-181836)/50510*15/(-729). 2/27 What is (-52*(-47)/(-9776))/((1/120)/(-1))? 30 What is (-99)/(-22)*(38/209)/(4/176*2)? 18 ((1*81/(-3))/((-18)/12))/((-8799)/(-838)) 12/7 ((-20)/3)/(((-32)/(-2))/(186/(-31)))*-26 -65 What is the value of (-4)/((16/((-512)/120))/(((-1548)/(-1248))/43))? 2/65 What is the value of (-13370)/(-3820)*((-40)/28)/(30/100)? -50/3 ((-2240)/5)/16*52/(-182) 8 Calculate -11*(-1)/(-11)*392/(-8)*1. 49 Evaluate ((-5)/8*5044/970)/(3/(-24)). 26 What is (-6)/(-6)*37/666*-16? -8/9 (-30796)/46194*(-318)/8 53/2 What is the value of (290955/(-238))/489*(516/10)/(-1)? 129 What is the value of -2*49/42*((-17550)/175)/18? 13 ((-38)/6)/(6916/(-63336)) 58 Evaluate 5/(-30)*21*(-5)/(910/2288). 44 (3/3*-108)/((-22)/(-77)*-7) 54 Calculate (1250/(-225))/(12/15*525/1890). -25 Evaluate 391/(539189/(-591))*7/(-9). 1/3 13727/(-318)*16/(-56) 37/3 Calculate ((9/84)/((-3060)/357))/(2/(-8)). 1/20 What is ((20/60)/((-70)/(-30)))/(5/((-35)/(-4)))? 1/4 Evaluate 2/(-170)*-6*13540/4062. 4/17 Calculate (1482/190)/(-13)*13/(1755/10). -2/45 (3/((-9)/(-2)))/((-85)/153) -6/5 Evaluate ((-6)/6)/((-21055)/88431). 21/5 (-24)/100*-35*(-4800)/1680 -24 What is the value of ((-17714)/(-11462))/((-16)/44)? -17/4 Evaluate ((-2360)/708)/(-7*12/(-28)). -10/9 Evaluate (9/6)/((-1)/(288/(-48))*(-18)/(-26)). 13 Evaluate ((-146)/2044*-126)/(1*4). 9/4 What is the value of (99/(-88))/((-108)/120*285/(-18))? -3/38 (9600/3712*58)/((-6)/(-2)*1) 50 What is (1/2*3)/(6192/(-119712))? -29 What is the value of (-45)/15*1/(-6)*(-4)/(-218)*-2? -2/109 Evaluate (3/6)/((2/44)/(102/102)). 11 Evaluate 17/102*2/1*(-29)/(870/1935). -43/2 What is ((-8)/72*16*2)/((-44)/396)? 32 Evaluate 174/8*
{ "pile_set_name": "DM Mathematics" }
the prime factors of 1/2 - (-7)/((-56)/(-2932))? 367 Let c(l) = l**3 + 11*l**2 + 10*l - 1. What are the prime factors of c(-6)? 7, 17 Suppose -k + 0*k = -18. List the prime factors of k. 2, 3 Suppose 5*x - 49 = -i, 2*i - x = -3*x + 122. List the prime factors of i. 2 Let i be -6*(-2 - 15/(-6)). Let p be (i/(-2))/((-3)/(-72)). Suppose 2*c + 6 = y - 4, -4*y = -4*c - p. List the prime factors of y. 2 Suppose 11 = 4*k - 1. Let a = k + -1. Suppose 2*d + a*d = 44. What are the prime factors of d? 11 Let k = 37 + -24. What are the prime factors of k? 13 Suppose 3*y - 5*y = 0. Suppose 23 = 5*g + 4*m - 5*m, y = -2*g + 5*m. List the prime factors of g. 5 Let i(k) = -k**2 - 3*k + 5. Let t(r) = r**2 - 5*r - 1. Let d be t(6). Let u be i(d). Let a = -17 - u. List the prime factors of a. 2, 3 Suppose -2*r = r - 4*f - 104, 4*r = 3*f + 141. Let d = -17 + r. What are the prime factors of d? 19 Let u(j) be the third derivative of -j**6/120 + 2*j**5/15 - j**4/24 + 11*j**3/6 + 2*j**2. Let w be u(8). Suppose -7 - 2 = -w*n. List the prime factors of n. 3 Suppose 17 = 2*m - 169. List the prime factors of m. 3, 31 Let t = -10 + 10. Suppose -48 = -3*s - t*s. List the prime factors of s. 2 Suppose 3*m + g = 174, -5*m = -4*g + 3*g - 282. List the prime factors of m. 3, 19 Let z = 7 - 0. Let d(t) = -t**3 - 3. Let p be d(0). Let m = z + p. List the prime factors of m. 2 Suppose -8*m = -3*m - 200. Let b = m + 1. What are the prime factors of b? 41 Suppose -2*s - 1 = -5. List the prime factors of s. 2 Let r = 23 - 3. What are the prime factors of r? 2, 5 Suppose -5*c = 9*c - 4522. What are the prime factors of c? 17, 19 Suppose 0 = 5*z + 3*u - 7*u - 237, -2*z + 78 = 4*u. What are the prime factors of z? 3, 5 Suppose 3*m - 16 - 2 = 0. Let y = m + -3. Suppose 3*t = -n + 22, y*n = -2*n - 4*t + 55. What are the prime factors of n? 7 Let g = 310 + -153. What are the prime factors of g? 157 Let t = -4 + 7. Let b = -28 + 48. Suppose -t*a + 5*k + b = 0, -2*a = 3*k - 0*k - 45. List the prime factors of a. 3, 5 Let s(g) = g**2 + 4*g - 3. Suppose 10 = -4*z - 18. List the prime factors of s(z). 2, 3 Let j be (-3 - -1)/2*1. Let y(t) = t**2 - 11*t + 7. Let m be y(8). Let h = j - m. List the prime factors of h. 2 Let s(l) = -76*l**3 - l**2 - 2*l - 1. List the prime factors of s(-1). 2, 19 List the prime factors of (2 - (-30)/(-9))/(8/(-660)). 2, 5, 11 Let p = 0 - -1. Suppose 4*k - p = 15. What are the prime factors of k? 2 What are the prime factors of 134 - ((-2)/2 - (-4 - -2))? 7, 19 Suppose -4*r - l - 154 + 52 = 0, -5*r - 2*l - 126 = 0. Suppose -n = -4*n - 123. Let y = r - n. List the prime factors of y. 3, 5 What are the prime factors of 16/56 + -2 + 1275/21? 59 Let u(m) be the second derivative of -m**4/12 - 11*m**3/6 - 5*m**2 - 3*m. What are the prime factors of u(-8)? 2, 7 Let k be (4/(-3))/((-4)/(-30)). Let b be (-2)/(-5) - 796/k. Suppose -33 = 3*t + 5*x - b, 0 = -5*t - 2*x + 53. What are the prime factors of t? 3 Suppose -2*t - 4 = 5*a - 4*a, 3*a = -t + 3. Suppose -2*s + a = -6. What are the prime factors of s? 2 Suppose -2*b - 95 = -7*b. Let r = 36 - b. List the prime factors of r. 17 Let u(y) = y**2 + 6*y + 9. Let d be u(-6). Suppose -19 = -5*i + 6. Let m = i + d. What are the prime factors of m? 2, 7 Suppose -4*r + 2*y - 57 = -3*y, -3*y = 4*r + 81. Let v = r + 21. What are the prime factors of v? 3 Suppose 0 = -5*y + t - 21, 5*y + t + 15 = y. Let v be y/(-4*1/(-18)). List the prime factors of (-1 - -4)/(v/(-12)). 2 Let y(k) = -7*k - 3. List the prime factors of y(-17). 2, 29 Suppose -3*h + 86 = 4*l, -4*h + l + 91 = -h. What are the prime factors of h? 2, 3, 5 Let z be (10/15)/((-2)/3). Let v = -1 - z. Suppose 5*x + 0*x = -3*r + 54, 2*x + 2*r - 24 = v. What are the prime factors of x? 3 Let r be ((-12)/(-9) - 0)*3. Suppose -16 = r*u - 92. List the prime factors of u. 19 Let u = 69 - 9. List the prime factors of u. 2, 3, 5 Let f be (-10)/(-60) - 4174/(-12). Suppose 5*n + 113 = f. List the prime factors of n. 47 Let l(r) = r**3 + 7*r**2 - 15*r - 5. List the prime factors of l(-7). 2, 5 Suppose 4*v + 4*h - 1040 = 0, -2*v + 7*h - 2*h = -541. What are the prime factors of v? 263 Let b = -30 - -43. List the prime factors of b. 13 Suppose 0 = g + g + 16. Let s = g - -5. List the prime factors of -2 + s*(2 + -4). 2 Let l(m) = -15*m**3 + m**2 + m - 3. List the prime factors of l(-2). 7, 17 Let g be (-1)/(4 - 3) - -1. Suppose g = -w + 61 - 12. What are the prime factors of w? 7 Suppose 4*z - 1291 = 3*o, -z - 3*o + 304 = -0*o. What are the prime factors of z? 11, 29 Let i(a) = -3*a + 2. Let l(n) = -4*n + 1. Let o(g) = 3*i(g) - 2*l(g). List the prime factors of o(-9). 13 Let q(u) be the second derivative of 0 - u - 1/2*u**4 + 0*u**2 - 1/20*u**5 - u**3. What are the prime factors of q(-5)? 5 Let x(p) = p**3 - 6*p**2 + 5*p - 3. Let n be x(5). Let l be ((0 - -2) + -1)*n. Let g(d) = d**3 + 3*d**2 - 2*d - 4. What are the prime factors of g(l)? 2 Let c = 3 - 4. Let u(v) = -19*v**3. Let q be u(c). Suppose a = q - 7. What are the prime factors of a? 2, 3 Suppose -3*z - 215 = -c, c + 804 = 5*c + 2*z. List the prime factors of c. 7, 29 Suppose d + 0 + 2 = 0. Let n be (3/2)/(d/(-4)). Suppose -n*j - j + 16 = 0. List the prime factors of j. 2 Let z be (-1 + 3)/(1/2). Suppose -5*r = -r + 4. Let k = r + z. What are the prime factors of k? 3 Let h(j) = 145*j**2 - 1. List the prime factors of h(-1). 2, 3 Let l(z) = -2*z - 9. Let w be l(-7). Suppose 0 = w*t - 0*r - 4*r - 43, 4*r = 2*t - 10. What are the prime factors of t? 11 Let l = 14 + -10. Let m = l + -2. Suppose m*x + 10 = 2*k, 3*k - 29 = -0*x - 4*x. List the prime factors of k. 7 Let p = 51 + -10. What are the prime factors of p? 41 Suppose 0 = -7*s + 2*s + 250. What are the prime factors of s? 2, 5 Suppose -20 = -2*y - 3*y. Suppose -4*w - 2 = o, 7 = 4*o + 2*w + 1. Suppose -12 + y = -o*a. List the prime factors of a. 2 Let r(g) = -g**2 - 7*g - 4. List the prime factors of r(-6). 2 Let i(m) = 2*m**2 + 17*m + 49. List the prime factors of i(-19). 2, 7 List the prime factors of 2*62/4*(-2 + 6). 2, 31 Let y(f) = 10*f + 9. List the prime factors of y(3). 3, 13 Let k(f) = -5*f - 7. Let i(n) = 14*n + 20. Let g(h) = -3*i(h) - 8*k(h). Let y be g(-3). Suppose 2*b + 44 = 4*s, -b - 6 = y*b. What are the prime factors of s? 2, 5 Suppose -4 = -0*g - 2*g. Suppose -g*o - 140 = -7*o. List the prime factors of o. 2, 7 Let x = -10 + 12. Suppose -3*u = -a + 6*a - 12, -3*u = x*a - 12. Suppose -u*c - c = -10. List the prime factors of c. 2 Let v(z) = -z**2 - 8*z - 8. Let c be v(-6). Suppose -c*d = -2*o - 14, 0 = 3*o - 7 - 8. What are the prime factors of d? 2, 3 Let c = -2 - -10. Suppose 2*d - c = 26. What are the prime factors of d? 17 Suppose y - 17 = 5. What are the prime factors of y? 2, 11 Suppose -2*u + 255 = -d, 0 = -6*u + u + 2*d + 636. What are the prime factors of u? 2, 3, 7 Let m(y) = 28*y**3 + y - 2*y**2 + 4*y**2 + 11*y**3 - 55*y**3. Suppose -4*r + 5*u = -6, 3*u = 4*r - 0*r - 2. List the prime factors of m(r). 17 Let u = 0 - -19. List the prime factors of u. 19 Let b(u) = -28*u - 3. List the prime factors of b(-4). 109 Let m = 21 - -2. What are the prime factors of m? 23 Suppose 11 = -0*u - u - 4*f, 5*f = 4*u + 44. Let r = u + 19. List the prime factors of r. 2 Suppose -257 + 52 = -5*y. List the prime factors of y. 41 Let y(m) = 2*m**2 + 2*m - 42. What are the prime factors of y(-8)? 2, 5, 7 Let k = 1 + 136. List the prime factors of k. 137 Let v = 1 + -1. Suppose s + 3*s + 24 = v. Let w = s - -14. What are the prime factors of w? 2 Suppose 3*q = 19 - 310. Let j = -67 - q. List the prime factors of j. 2, 3, 5 Let o be (0 - -2)/(-3 - -2). List the prime factors of (18/4)/((-1)/o). 3 List the prime factors of ((-62)/4)/((-11)/22). 31 Suppose -4*s + s + 5 = 2*l, -s = 3*l + 3. Suppose o = 4, -o + 49 = -s*c - 2*c. Let x(q) = q**2 + 8*q + 8. List the prime factors of x(c). 17 Let d be (-3)/(-2)*-2 + 0. What are the prime factors of (0 - 11)/(d/3)? 11 Suppose 101 = 2*s - l, -253 = -5*s + 2*l - 0*l. What are the prime factors of s? 3, 17 Suppose 5*y + 56 = 451. Suppose -n + 47 = -y. What are the prime factors of ((-10)/30)/((-2)/n)? 3, 7 Let l = 98 - 35. List the prime factors of l. 3, 7 Let p = 164 - 111. List the prime factors of p. 53 Let n = -1 - -1. Suppose n
{ "pile_set_name": "DM Mathematics" }
r o. 9 Solve -5*q + 25 - 10 = 0 for q. 3 Solve -8*q = -22 + 46 for q. -3 Solve -7*l = -84*l + 77 for l. 1 Solve -f - 7 + 8 = 0 for f. 1 Solve 14 - 2 = 6*j for j. 2 Solve -21*a = -27*a + 12 for a. 2 Solve 9 = 18*j - 9 for j. 1 Solve 54*n + 109 = -215 for n. -6 Solve 0 = -3*p + 7*p - 12 for p. 3 Solve -226 = 26*l - 18 for l. -8 Solve -713 = -2*u - 709 for u. 2 Solve -112 = 3*z - 94 for z. -6 Solve -8*p = -5*p + 9 for p. -3 Solve 7 = 4*m - 21 for m. 7 Solve 14 = -22*c + 36 for c. 1 Solve -5*t - 4 = 6 for t. -2 Solve -63*c = -61*c + 6 for c. -3 Solve -6 + 11 = -v for v. -5 Solve -3 + 18 = -5*i for i. -3 Solve 3*b - 3 = -12 for b. -3 Solve -1 = -7*y + 6 for y. 1 Solve 19*r - 31 + 50 = 0 for r. -1 Solve 122*q - 85*q = -259 for q. -7 Solve 45 = -6*i + 15 for i. -5 Solve 8*q - 195 = -187 for q. 1 Solve 0 = 474*t - 443*t + 217 for t. -7 Solve 74 = 4*t - 41*t for t. -2 Solve -18*x + 250 = 340 for x. -5 Solve 0 = -13*b + 15*b + 6 for b. -3 Solve -4*m + 5 = m for m. 1 Solve 3*g + 16*g + 95 = 0 for g. -5 Solve 27 = 8*h + 3 for h. 3 Solve 0 = 5*b - 69 + 49 for b. 4 Solve 0 = -27*j - 27 - 0 for j. -1 Solve 0 = -13*f + 156*f - 1573 for f. 11 Solve 0 = -92*j + 80*j - 12 for j. -1 Solve 17 = 2*d + 11 for d. 3 Solve -27*b + 41*b - 70 = 0 for b. 5 Solve -25 = -u - 24 for u. 1 Solve -2*l = 2*l + 16 for l. -4 Solve 46*l - 15 = 43*l for l. 5 Solve -182 = -3*r - 23*r for r. 7 Solve 42 + 22 = -16*r for r. -4 Solve -258 = -5*b - 253 for b. 1 Solve 131 + 223 = -59*o for o. -6 Solve -24*n = 79 + 17 for n. -4 Solve -9*f = -f for f. 0 Solve 24*n = 15*n for n. 0 Solve 2*d + 7 = 11 for d. 2 Solve 0 = -3*p + 5 - 8 for p. -1 Solve 2305 = -8*c + 2329 for c. 3 Solve -2477*n = -2486*n + 45 for n. 5 Solve 13*x - 41 = -158 for x. -9 Solve -13*d - 20 = -8*d for d. -4 Solve 18 + 69 = 29*a for a. 3 Solve 1963*s - 72 = 1955*s for s. 9 Solve -8*y = -14*y for y. 0 Solve -7*a - 6402 = -6451 for a. 7 Solve -j - 3*j + 16 = 0 for j. 4 Solve 17*m = m - 16 for m. -1 Solve -7*p + 8 = -20 for p. 4 Solve -6*g + 12 = -3*g for g. 4 Solve a + 4*a = 10 for a. 2 Solve 0 = h - 6*h - 20 for h. -4 Solve 57*h - 24*h - 66 = 0 for h. 2 Solve -25*o = -14*o for o. 0 Solve 721*q = 725*q + 44 for q. -11 Solve -15*u = -11*u + 8 for u. -2 Solve -15*c - 227 + 152 = 0 for c. -5 Solve 59*o + 99 = 689 for o. 10 Solve 3 = -139*t + 136*t for t. -1 Solve 2*g = 4*g - 10 for g. 5 Solve -4 = -9*z + 11*z for z. -2 Solve -7*k - 3 = -10*k for k. 1 Solve d - 422 = -420 for d. 2 Solve 72 = 900*c - 891*c for c. 8 Solve 0 = -11*s + 8*s for s. 0 Solve 3*n + 2*n = -0*n for n. 0 Solve 0 = 25*d - 5*d + 80 for d. -4 Solve 17*k + 27 = 8*k for k. -3 Solve 31*j - 17*j - 56 = 0 for j. 4 Solve -d = 62 - 62 for d. 0 Solve -23*t - 6*t - 116 = 0 for t. -4 Solve 4*l - 32 + 12 = 0 for l. 5 Solve -1172*m = -1166*m + 24 for m. -4 Solve 4 - 1 = 3*c for c. 1 Solve 4*z + 15 = -1 for z. -4 Solve -2*k - 10 = 3*k for k. -2 Solve 51 = 7*l + 51 for l. 0 Solve 7*o - 22 = -57 for o. -5 Solve j + j - 6 = 0 for j. 3 Solve -42*v + 53 = 347 for v. -7 Solve -8*n + 11 = -19*n for n. -1 Solve -241 + 249 = -2*c for c. -4 Solve -8*g = -52 + 12 for g. 5 Solve 67*i + 12 = 61*i for i. -2 Solve -5*a = 19*a + 48 for a. -2 Solve -121 = 14*u - 65 for u. -4 Solve 204 = 16*x + 18*x for x. 6 Solve 3*z + 3*z = -18 for z. -3 Solve -3*k - 81 = -66 for k. -5 Solve -23*d + 126 = 11 for d. 5 Solve -2*x = 14 - 4 for x. -5 Solve -1322*i - 80 = -1332*i for i. 8 Solve -21*r = 37*r + 290 for r. -5 Solve -110*w - 536 = 234 for w. -7 Solve 4*l + 20 = 32 for l. 3 Solve 18*g + 1 = 17*g for g. -1 Solve 0 = -95*y + 93*y - 8 for y. -4 Solve 68 = 12*f - 28 for f. 8 Solve 76*s - 77*s - 3 = 0 for s. -3 Solve -56*i - 81*i - 959 = 0 for i. -7 Solve -3*t - 109 = -88 for t. -7 Solve 11*o - 10 = 6*o for o. 2 Solve -10*s - 534 + 484 = 0 for s. -5 Solve 11*f + 86*f - 679 = 0 for f. 7 Solve 25 = 22*p - 129 for p. 7 Solve 0 = 1770*c - 1767*c + 24 for c. -8 Solve 27*f - 32*f = -25 for f. 5 Solve 10*p + 39 = -1 for p. -4 Solve 0 = f + 2*f + 6 for f. -2 Solve 11*k - 8 = 3*k for k. 1 Solve 0 = 233*s - 232*s + 3 for s. -3 Solve 12*z = -8*z - z for z. 0 Solve 172 = g + 166 for g. 6 Solve 8*i + 1591 = 1639 for i. 6 Solve -16*k - 57 = 7 for k. -4 Solve -17*p + 0*p - 17 = 0 for p. -1 Solve 0 = -48*w + 6*w + 168 for w. 4 Solve 24 - 36 = -3*h for h. 4 Solve -1210*l = -1211*l - 6 for l. -6 Solve 8*l - 3*l + 20 = 0 for l. -4 Solve 15*l + 306 = 201 for l. -7 Solve -15*m = 27*m + 32*m for m. 0 Solve 5*n + 6 = -9 for n. -3 Solve 0 = 6*p - 4*p for p. 0 Solve -4*u + 6 = 2*u for u. 1 Solve -9 = -4*h - 21 for h. -3 Solve 716*l = 704*l - 72 for l. -6 Solve -112 - 89 = 67*t for t. -3 Solve -1 - 1 = b for b. -2 Solve -13*v + 4*v = -3*v for v. 0 Solve -10 = 282*o - 280*o for o. -5 Solve -12*w = 5*w + 153 for w. -9 Solve 12*h - 12 = 6*h for h. 2 Solve -77 = -606*o + 617*o for o. -7 Solve 14*y = 4*y for y. 0 Solve -45*b = -52*b + 35 for b. 5 Solve -7*w - 8*w = -60*w for w. 0 Solve 8*n - 32 = -48 for n. -2 Solve -d = -384 + 390 for d. -6 Solve 16*c - 4 + 20 = 0 for c. -1 Solve 2*p = -0 - 8 for p. -4 Solve 169*v - 164*v = 30 for v. 6 Solve 15*v + 16 = 1 for v. -1 Solve -553*t - 8 = -555*t for t. 4 Solve -4 = -7*w - 4 for w. 0 Solve -4 = -8*z + 12 for z. 2 Solve 6*g + 9 = 27 for g. 3 Solve 0 = -101*p + 113*p for p. 0 Solve -80 = 4*y - 88 for y. 2 Solve 0 = 6*o - 6 + 30 for o. -4 Solve 3*g - 1543 + 1513 = 0 for g. 10 Solve 4*z - 126 = -17*z for z. 6 Solve 0 = -0*i + 5*i + 20 for i. -4 Solve 4 - 10 = -3*k for k. 2 Solve -144 = 8*f - 176 for f. 4 Solve -28*f = 37*f - 455 for f. 7 Solve 0 = 18*s - 20*s - 8 for s. -4 Solve 16*d = -4*d - 20 for d. -1 Solve -37*f = -157 + 231 for f. -2 Solve 133*y - 14 = 126*y for y. 2 Solve 216 = -146*v + 110*v for v. -6 Solve -403*s = -404*s - 2 for s. -2 Solve -11*i = -16*i + 25 for i. 5 Solve 48*c - 68 = 172 for c. 5 Solve -1 = u + 1 for u. -2 Solve 12 = 9*o - 6 for o. 2 Solve -80 = -5350*n + 5342*n for n. 10 Solve -128*h = -39*h for h. 0 Solve 0 = 17*u - 19*u + 4 for u. 2 Solve 9*g = 7 + 2 for g. 1 Solve 4*v = 59 - 87 for v. -7 Solve 0 = 23*k - 16 + 154 for k. -6 Solve 4*f - 8 = 2*f for f. 4 Solve -7*y = -4*y + 9 for y. -3 Solve 16 = -7920*p + 7922*p for p. 8 Solve 235*p + 4 = 236*p for p. 4 Solve 19*l = -13*l + 4*l for l. 0 Solve 13*u + 15 = -11 for u. -2 Solve -3*o + 8*o = 0 for o. 0 Solve -86*b = -70*b - 48 for b. 3 Solve 0 = 3*f - 35 + 44 for f. -3 Solve -68 + 122 = -9*b for b. -6 Solve 15 = 3*a - 0 for a. 5 Solve 9*a - 18 = -0*a for a. 2 Solve 180 = 23*f + 42 for f. 6 Solve -20*h + 15*h = 5 for h. -1 Solve 21 = 15*a + 66 for a. -3 Solve -44*v - 175 = -9*v for v. -5 Solve 0 = 9*q + 20*q + 29 for q. -1 Solve 4*h + 2 = 14 for h. 3 Solve -19*u + 10 = -9 for u. 1 Solve -8*k = -19 - 21 for k. 5 Solve 0 = 6*l - 7*l + 4 for l. 4 Solve -3*k - 11 = -14 for k. 1 Solve 0*h + 3*h + 12 = 0 for h. -4 Solve -22*y + 35 - 145 = 0 for y. -5 Solve 191 = -65*p - 134 for p. -5 Solve -59*t + 15*t - 264 = 0 for t. -6 Solve 7*r = 22 - 8 for r. 2 Solve -18*q + 151 = 79 for q. 4 Solve 2*h = 17*h + 75 for h. -5 Solve 5 - 7 = 2*s for s. -1 Solve -27*u + 65 = -14*u for u. 5 Solve 340 = 31*c + 54*c for c. 4 Solve -6 = 30*p - 27*p for p. -2 Solve -2377*f + 2380*f = -12 for f. -4 Solve c + 44 = 35 for c. -9 Solve 166 - 6 = 32*o for o. 5 Solve 0 = 17*r + 47*r for r. 0 Solve -c + 4 = 6 for c. -2 Solve 5*i - 140 = -23*i for i. 5 Solve -12*i = 7*i + 95 for i. -5 Solve 8*j = 24*j + 48 for j. -3 Solve -10*x + 8 = 68 for x. -6 Solve 4*f - 36 = -20 for f. 4 Solve 24*z + 38 = -58 for z. -4 Solve 0 = 8*o - 12*o + 8 for o. 2 Solve 9*s = -2*s - 55 for s. -5 Solve -49*l = -152*l + 824 for l. 8 Solve -181 = 9*d - 199 for d. 2 Solve -9*j + 51 = 42 for j. 1 Solve 55 = -z + 56 for z. 1 Solve 22 = 31*c + 22 for c. 0 Solve 60 = -1076*n + 1066*n for n. -6 Solve 48*m = 18*m - 30 for m. -1 Solve 5 + 2 = -7*m for m. -1 Solve -17*y = -46 - 22 for y. 4 Solve 43 = -8*d + 59 for d. 2 Solve 28 = -m + 33 for m. 5 Solve 684*l = 674*l for l. 0 Solve -25*c = -6*c - 19 for c. 1 Solve 5*v - 4*v - 1 = 0 for v. 1 Solve 9*w - 4336 + 4282 = 0 for w. 6 Solve 228*w + 18 = 234*w for w. 3 Solve -a + 4*a = 2*a for a. 0 Solve 41*l - 20 = 51*l for l. -2 Solve 35*j - 23*j - 36 = 0 for j. 3 Solve m - 35 = -6*m for m. 5 Solve -10*x - 48 = 2*x for x. -4 Solve -x + 37 = 36
{ "pile_set_name": "DM Mathematics" }
, -2, 0, 3, 196021 Put 0.2, -2, -11/5, -0.15, 5/8, 3 in decreasing order. 3, 5/8, 0.2, -0.15, -2, -11/5 Sort 730, 0, 7776 in decreasing order. 7776, 730, 0 Sort -28, -23, -21, 3 in descending order. 3, -21, -23, -28 Put 3, -4, -1080, 0, 2, -1204 in decreasing order. 3, 2, 0, -4, -1080, -1204 Put -24, 1/2, -3, 2/8977 in descending order. 1/2, 2/8977, -3, -24 Sort 46, 292, 6, -1 in increasing order. -1, 6, 46, 292 Sort 11, -5, -2, -1000, 2, -1 in descending order. 11, 2, -1, -2, -5, -1000 Sort 0, -3, 5, -202, 1503 in decreasing order. 1503, 5, 0, -3, -202 Sort -161, -24, -4, 4, 12, 3, -3. -161, -24, -4, -3, 3, 4, 12 Sort 1, 494, -1, 16, 4, -1/2, 2 in ascending order. -1, -1/2, 1, 2, 4, 16, 494 Sort -5, -0.097, -4916, 1/4, -3. -4916, -5, -3, -0.097, 1/4 Sort 10, -2, 8273, 12 in increasing order. -2, 10, 12, 8273 Sort 134, -149, 5, -14, -18 in decreasing order. 134, 5, -14, -18, -149 Sort 4, -35, -0.5, 12, 5, -1. -35, -1, -0.5, 4, 5, 12 Put 2, 809, -10209 in increasing order. -10209, 2, 809 Sort -1/25, 400, 64, 2 in decreasing order. 400, 64, 2, -1/25 Sort -3042.1, 5, 1/5 in decreasing order. 5, 1/5, -3042.1 Sort -120316/3, -1, -5 in ascending order. -120316/3, -5, -1 Put -5, 8, -3314, -99 in descending order. 8, -5, -99, -3314 Sort 1035268, 4, -0.3, 0.1, 1/4. -0.3, 0.1, 1/4, 4, 1035268 Sort 37614, 28, 3 in decreasing order. 37614, 28, 3 Sort -99151/6, -0.1, -5. -99151/6, -5, -0.1 Put 1, 64, -9, -14, 32 in descending order. 64, 32, 1, -9, -14 Put -1, -2/730413, 4, 20 in descending order. 20, 4, -2/730413, -1 Sort 28, -3, 0.08, -123/8 in decreasing order. 28, 0.08, -3, -123/8 Put -5, 13031, 12, 2, -1 in ascending order. -5, -1, 2, 12, 13031 Sort 3, -56, -1, 1744/9 in decreasing order. 1744/9, 3, -1, -56 Put 4/9, -2, 125, -2/51, -0.13, 3 in descending order. 125, 3, 4/9, -2/51, -0.13, -2 Sort 22, -3, 4, 9, -7, -4, -120. -120, -7, -4, -3, 4, 9, 22 Sort 24, 0.302, -4.933, 5, 1. -4.933, 0.302, 1, 5, 24 Sort 1342, -416, 133 in increasing order. -416, 133, 1342 Sort -3, 37, 5, 67, 25, -1 in decreasing order. 67, 37, 25, 5, -1, -3 Sort 50, -3, -7, -12, 3, 5 in decreasing order. 50, 5, 3, -3, -7, -12 Sort -4, 2, 34.39795 in increasing order. -4, 2, 34.39795 Sort 58, 5750, 5, 0, 2, 1 in descending order. 5750, 58, 5, 2, 1, 0 Sort 63, -7, 4, 3, -2, 38, -9 in increasing order. -9, -7, -2, 3, 4, 38, 63 Sort 25, 0.131921, 0.2, -0.4. -0.4, 0.131921, 0.2, 25 Put -5, 44, 15357 in descending order. 15357, 44, -5 Put 125, -5, -4, 1327, 1, 2, 5 in decreasing order. 1327, 125, 5, 2, 1, -4, -5 Sort 1, -5, 3, 2, -538, -1, -205. -538, -205, -5, -1, 1, 2, 3 Sort 4, 0, -4, 413, 71, 2 in increasing order. -4, 0, 2, 4, 71, 413 Sort 0.02, -4/5, 205.1905, 0 in increasing order. -4/5, 0, 0.02, 205.1905 Put 0, -9, 5, -38, -5, -265 in ascending order. -265, -38, -9, -5, 0, 5 Sort 0, 0.27, 4, 14124 in descending order. 14124, 4, 0.27, 0 Put -9, -40/49, 0, -60/17, -1 in decreasing order. 0, -40/49, -1, -60/17, -9 Sort 9929, 5, -95, 158 in ascending order. -95, 5, 158, 9929 Sort -70, -0.3, 3, -10, -3, 2/9 in descending order. 3, 2/9, -0.3, -3, -10, -70 Sort 0, -1, -157, 172 in decreasing order. 172, 0, -1, -157 Sort -288, -46666, -3 in decreasing order. -3, -288, -46666 Sort 33919, -1/6, -0.9, -1/4, 5 in decreasing order. 33919, 5, -1/6, -1/4, -0.9 Put 5, -8, 7, 54660, 2 in ascending order. -8, 2, 5, 7, 54660 Sort 6038, -12, -150, 4. -150, -12, 4, 6038 Put -3/8, 0.3, 4, -2, 2, -1.12204 in increasing order. -2, -1.12204, -3/8, 0.3, 2, 4 Sort 1/7, -17, -5/4, 2/13, -2/51 in ascending order. -17, -5/4, -2/51, 1/7, 2/13 Put -3, 58, 8.6, -21 in decreasing order. 58, 8.6, -3, -21 Put -1/58, 163, 1.4978 in ascending order. -1/58, 1.4978, 163 Sort 2, -190, 668, 0, -57. -190, -57, 0, 2, 668 Put 19228.3, 0, 0.3, -5, -17 in increasing order. -17, -5, 0, 0.3, 19228.3 Sort -5, 0.2, 2/97, 1.6, -3/5, 45 in increasing order. -5, -3/5, 2/97, 0.2, 1.6, 45 Put 53187, 0, 2, -27, 5 in decreasing order. 53187, 5, 2, 0, -27 Sort 0.4, 3/76, 1252672 in ascending order. 3/76, 0.4, 1252672 Put -2/7, 590.2191, 3, 0.07 in increasing order. -2/7, 0.07, 3, 590.2191 Sort -536257, 6, -4 in descending order. 6, -4, -536257 Sort -324, 4, 49177. -324, 4, 49177 Sort -2, -266.1, -0.2, 3, 2/5, 6/11. -266.1, -2, -0.2, 2/5, 6/11, 3 Sort 16, 5, 2, 130568 in ascending order. 2, 5, 16, 130568 Sort -4, -1, 0, -914, 11, -5, 20 in descending order. 20, 11, 0, -1, -4, -5, -914 Put -0.15, 0, 0.1, 247773 in descending order. 247773, 0.1, 0, -0.15 Put 3/2, -4, 5/311, -5, 0.3, 1/6 in decreasing order. 3/2, 0.3, 1/6, 5/311, -4, -5 Sort -1/3, 1/2, -1407832.1. -1407832.1, -1/3, 1/2 Sort 2, -1481, -3, 0.4, -5 in decreasing order. 2, 0.4, -3, -5, -1481 Put 0, -3015, -13, -5, -335 in descending order. 0, -5, -13, -335, -3015 Put -260, 4, 9, 6, 5, -3 in increasing order. -260, -3, 4, 5, 6, 9 Put 3, -8, -1, 0.3, -4, -3.3, 404 in descending order. 404, 3, 0.3, -1, -3.3, -4, -8 Put 40, -4, 4, -11, 104 in increasing order. -11, -4, 4, 40, 104 Put 50.2, -3, -3786 in descending order. 50.2, -3, -3786 Put 2, 40, 5, -3, -48, -1, 30 in decreasing order. 40, 30, 5, 2, -1, -3, -48 Sort -1.2, 1/17, 116522 in decreasing order. 116522, 1/17, -1.2 Put -5, 203, 5, 2, -17, 60, 0 in increasing order. -17, -5, 0, 2, 5, 60, 203 Put -387, -4, -171, -2, -54 in decreasing order. -2, -4, -54, -171, -387 Put -2173, 2, -3, 0, -107, 3 in increasing order. -2173, -107, -3, 0, 2, 3 Sort -76, 0.22, -0.307, -2/9, 4 in decreasing order. 4, 0.22, -2/9, -0.307, -76 Put -1, 3.5, 20.4, -65, -2/47 in decreasing order. 20.4, 3.5, -2/47, -1, -65 Put 43, -7, -76, -5, -8, 2, -2 in decreasing order. 43, 2, -2, -5, -7, -8, -76 Sort 19/139, 102, 0.2, -2/13 in descending order. 102, 0.2, 19/139, -2/13 Sort 4/11, -0.4, 293, 2. -0.4, 4/11, 2, 293 Sort -0.4, 0.2, -0.1, -1/2, -1818 in ascending order. -1818, -1/2, -0.4, -0.1, 0.2 Put -2/9, 2/5, 2665/124 in descending order. 2665/124, 2/5, -2/9 Sort -3/2, -4, -2/11, 0.1, 52683 in ascending order. -4, -3/2, -2/11, 0.1, 52683 Put -2, 9, -279, -16, -1, 5, 1 in descending order. 9, 5, 1, -1, -2, -16, -279 Put 25, 4, -6, 11, -10542 in decreasing order. 25, 11, 4, -6, -10542 Put -5, 0.06486, 5, -25/2, -16 in descending order. 5, 0.06486, -5, -25/2, -16 Sort 95, -2, 4, -1, -10. -10, -2, -1, 4, 95 Sort 0, -570, 26, -22 in decreasing order. 26, 0, -22, -570 Sort 3, 7287, 23 in decreasing order. 7287, 23, 3 Sort -28, 1, 3, 40 in ascending order. -28, 1, 3, 40 Sort 1/6, -2/5, 302, -1, 0.3, -22 in descending order. 302, 0.3, 1/6, -2/5, -1, -22 Sort 1453, -655, 24 in descending order. 1453, 24, -655 Sort 8, -192, -35/2, -1/3, 0.4 in decreasing order. 8, 0.4, -1/3, -35/2, -192 Sort -767, 5, 3172 in ascending order. -767, 5, 3172 Put 461, 177, 3 in decreasing order. 461, 177, 3 Put 4, -14, 1, 472, -1, 48, 2 in decreasing order. 472, 48, 4, 2, 1, -1, -14 Sort 133, -451, 9 in decreasing order. 133, 9, -451 Sort -3, 568763, 6. -3, 6, 568763 Sort 3, 781/13, -10/157 in descending order. 781/13, 3, -10/157 Sort -9/4, -1/2, 525468, 1, 2/15. -9/4, -1/2, 2/15, 1, 525468 Put 2/5, 55/6, 74, 2 in descending order. 74, 55/6, 2, 2/5 Sort 10, 3, -707.4, 0.5 in increasing order. -707.4, 0.5, 3, 10 Put 10, 1, -130335, 2 in decreasing order. 10, 2, 1, -130335 Put -1, 2, -5, -17, 4, -3, 39496 in descending order. 39496, 4, 2, -1, -3, -5, -17 Put -8, 95, -2, -258, -3, 1, 2 in descending order. 95, 2, 1, -2, -3, -8, -258 Put 0, 1, 6, -12, 2, 28 in decreasing order. 28, 6, 2, 1, 0, -12 Put 0, -5, 12732/2575 in decreasing order. 12732/2575, 0, -5 Put -1, 2, 0, -3, 88, -17, 17 in increasing order. -17, -3, -1, 0, 2, 17, 88 Put -3, -1062.5, 2/31, -108, 5 in ascending order. -1062.5, -108, -3, 2/31, 5 Sort 191, -4, 2, 0.09 in descending order. 191, 2, 0.09, -4 Sort 4, -2/7, -4, -851, 0.022 in descending order. 4, 0.022, -2/7, -4, -851 Put -37, 3/2, 2, -11/2696, -0.1 in ascending order. -37, -0.1, -11/2696, 3/2, 2 Sort -1, -1910, -3, 0, 476 in decreasing order. 476, 0, -1, -3, -1910 Sort -102, -227, -3, -194 in increasing order. -227, -194, -102, -3 Put -3705, 3, 0.5561, -1 in increasing order. -3705, -1, 0.5561, 3 Put 2/3, -0.06, -4, 57121/8 in decreasing order. 57121/8, 2/3, -0.06, -4 Sort -5359, -2813, -3 in ascending order. -5359, -2813, -3 Sort 3/4, 36.5, -0.4, -6789, 4 i
{ "pile_set_name": "DM Mathematics" }
69. Let a be -2 + (-2 - -4 - -2). Let u(s) = s - 3 - s**o - 3 - a*s**2 - s**2 + 4. Give u(-3). -5 Let a(k) be the first derivative of -k**4/2 - 2*k**3/3 + k**2/2 - 2*k + 55. Give a(-2). 4 Let n(v) = -95*v + 137*v**3 + 11*v**2 - 15 + 82*v - 136*v**3. Calculate n(-12). -3 Let m(r) = r**3 + 9*r**2 + 17*r + 70. Let b be m(-8). Let c(g) = g**2 + 4*g + 3. Give c(b). -1 Let j(l) = 101 + 90 + l - 188. What is j(5)? 8 Let i(b) = -b**2 + 19*b - 22. Let f be (-6)/(3 + (-221)/65). What is i(f)? 38 Let g(i) = -i**2 + 12*i - 32. Let h = -767 + 771. Give g(h). 0 Suppose 4*s + 2 = 6. Let p(f) = 570*f**2 - 4 - 580*f**2 + 3 + f. What is p(s)? -10 Let h(v) = 13*v + 25. Let r be h(-2). Let q(d) = 8*d - 1. Calculate q(r). -9 Let w(v) = -16 - 4*v + 29*v - 24*v. What is w(11)? -5 Suppose -43*y + 47*y - 16 = 0. Let f(t) = -3*t + y*t - 10 + 12 + 0*t. Suppose -2*g - 8 + 2 = 0. What is f(g)? -1 Let d(y) = 28*y**2 + 10*y + 6. Let g(s) = 9*s**2 + 3*s + 2. Let i(k) = 2*d(k) - 7*g(k). Calculate i(-2). -28 Let t(x) = 19*x + 1. Let z = 90 + -91. Calculate t(z). -18 Suppose -4*t + 15 = t, 5*t = s + 12. Let u(x) = 458*x**2 - 450*x**2 + 5*x - 3*x**3 + 4*x**s - 8. What is u(-7)? 6 Let p(l) = -164*l**2 + 79*l**2 + 0*l + 83*l**2 - l. What is p(-1)? -1 Let m(j) = -51*j + 17. Let h(k) = -40*k + 17. Let a(t) = 5*h(t) - 4*m(t). Give a(-4). 1 Suppose -10*p + 4*p = 0. Suppose 2*v = -p*v. Let l(y) = -8*y**2 + 2*y**2 - 7 + 5*y**2. Give l(v). -7 Let x(j) = -3 + 6 + 3 - 7 + j. Let q(g) = 5*g - 3. Let y(l) = -q(l) + 3*x(l). Give y(-3). 6 Let q(y) = 4*y**2 - 33*y + 9. Let c be q(8). Let n(h) = -h**2 + 8*h + 4. Let j be n(8). Let x(t) = c - j + t + 1 + 3*t. Give x(3). 10 Let h(f) = f**3 + 3*f**2 + 3*f + 1. Suppose 5*i - 11 + 1 = 0. Let q = 3 + i. Suppose -w + 17 = -4*j, -6*j + j = q*w - 10. Give h(j). -8 Let o(c) = c**2 + 10*c + 14. Let w be o(-9). Let a be (-2)/w + 54/(-15). Let d(l) = -l - 3. Give d(a). 1 Let a(z) = z**2 + 6*z + 3. Let o(d) = -d + 3. Let q(v) = v - 1. Let c(p) = o(p) + 2*q(p). Let y(l) = -a(l) + 6*c(l). Let m be -3*48/(-18) + -5. Determine y(m). -6 Let l(c) be the third derivative of -11*c**5/60 + c**4/6 + c**3/6 + 117*c**2. What is l(-2)? -51 Let n be -2 + 2 + 0 - -3. Let j(x) be the second derivative of 2*x - 1/12*x**4 + 0 + 1/3*x**3 - 1/2*x**2. Determine j(n). -4 Let m(d) be the second derivative of d**4/12 + d**3/2 - d**2 + 3*d + 6. Let o(l) = l + 1. Let g be o(-4). Give m(g). -2 Let n(c) = 2*c - 49. Let x be n(27). Let z(v) = 2*v**3 + 9*v + 6. Let q(f) = 5*f**3 + f**2 + 26*f + 18. Let t(i) = 3*q(i) - 8*z(i). What is t(x)? -14 Suppose 18 = -31*o + 34*o. Let k(f) = 16*f - 13*f - f**2 + 2*f. What is k(o)? -6 Let k(j) be the first derivative of j**3/3 + j**2/2 - 23*j + 389. Calculate k(5). 7 Let h = -197 - -197. Let r(k) = -2*k - k**3 + 0*k**2 + k + k**2 + 11. Determine r(h). 11 Suppose -5*i - 20 = -5*w + 15, 0 = 5*i. Let g(b) = -1 - 6*b - 4 + 6*b + w*b - b**2. Give g(4). 7 Let v = -330 - -326. Let f(m) = 2*m**3 + 4*m**2 - 3*m + 1. Give f(v). -51 Let o(l) = -20 + 40 - 21 - 12*l. Determine o(1). -13 Suppose -27*r = -33*r - 6. Let b(m) = 2 - 2 - m + 3*m**3. Give b(r). -2 Let x(m) = -m**3 - 6*m**2 - 6*m - 3. Let u be 112/(-20)*1 - 6/(-10). Give x(u). 2 Let r(x) = x - 35. Let b be r(12). Let l(n) = n + 30. Let i be l(b). Let t(g) = g**2 - 7*g - 7. Give t(i). -7 Let l(w) = -2*w**3 - 6*w**2 + 3*w - 2. Let x(m) = m**3. Let i be 1 + -2 - ((-6)/2 - -5). Let v(g) = i*x(g) - l(g). Give v(4). 22 Let c(m) = -4*m**3 + m**2 + 6*m - 2. Let y(f) = -3*f**3 + 5*f - 1. Let h(g) = -4*c(g) + 5*y(g). Let i(j) = -4*j + 144. Let a be i(35). Give h(a). 7 Let a(u) = u**3 - 3*u**2 - 2. Suppose -2*v - 3 = -o, -4*v = -4*o - 0*v + 16. Suppose -11 = -o*p + 4. Give a(p). -2 Let a(t) = t**2 + 7*t + 6. Let k be 4 + (1 + -3)/2. Let g be 3 + -4 - (k - 22). Let h = -24 + g. What is a(h)? 0 Let w be ((-52)/(-10))/(((-56)/(-20))/(-7)). Let q(f) = f + 17. Determine q(w). 4 Let s(p) be the second derivative of p**4/12 + p**3/2 + 15*p**2/2 - 24*p. Let g(v) be the first derivative of s(v). Give g(-5). -7 Suppose 0 = -2*l + 2*y + 4, -y - 6 = -3. Let d(v) be the first derivative of 3*v**2 - 1. Calculate d(l). -6 Suppose 0 = -3*q - 2*w - 2, 6*q - q + 6 = -4*w. Suppose -5*o + 7 = 2. Let n(j) = j + o - 3*j**2 - j - j. Determine n(q). -13 Suppose 5*r - 2 = d + 7, -9 = -3*d + 3*r. Let y(h) = h**2 - 2*h - 17. What is y(d)? 7 Let n(q) = -2*q + 1. Let v(j) = j - 1. Let l(c) = -6*n(c) - 13*v(c). Let y(d) = -d**3 - 14*d**2 - 12*d + 16. Let k be y(-13). Determine l(k). 4 Suppose -2*m - 2 + 6 = 0. Suppose m*x = -3*b - 17, -2*b + 5*x + 23 = -3*b. Let a(v) = v**2 + v. Determine a(b). 6 Let b be 6/2 + (-4 - -3). Suppose -5*f = o - 20, -o = -b*f + 3*f - 4. Let t(l) = -2*l + 6. Calculate t(f). -2 Let v(d) = d**3 + 7*d**2 + 5*d - 4. Suppose 4*l + c = 8, 2*l + 3*c = -3*l + 17. Let y be (1/(-3))/(2/30)*l. What is v(y)? 21 Let f(a) be the second derivative of a**4/12 - 5*a**2 - 5*a - 14. Give f(0). -10 Let l(u) = -u**3 - u**2 - u + 5. Suppose -5*p + 5*q = 40, 5*p + q = -q - 61. Let m = p - -14. Suppose -m*n = -0*n. Determine l(n). 5 Let k = 22 + -27. Let o(v) = -3*v + 11. Let l(a) be the second derivative of -2*a**3/3 + 8*a**2 - 3*a. Let x(b) = 5*l(b) - 7*o(b). Calculate x(k). -2 Let q(a) = -9*a**2 + 14*a - 38. Let i(c) = 7*c**2 - 16*c + 36. Let t(m) = -4*i(m) - 3*q(m). What is t(20)? 10 Let c(a) be the second derivative of a**3 - a**2/2 - 8*a. Let y = 1 + 2. Suppose -2*v = -3*v - 4*n + 5, y*v + n = 4. What is c(v)? 5 Let r(q) be the second derivative of -q**5/20 - q**4/3 + 5*q**3/6 - 3*q**2/2 - q. Let z = -7 - -107. Suppose z*d - 95*d + 25 = 0. What is r(d)? -3 Let r(x) be the first derivative of 1/4*x**4 + 5/3*x**3 - 9/2*x**2 - 8*x - 49. Calculate r(-6). 10 Let t(q) be the first derivative of q**3/3 - 5*q**2/2 + 3*q - 25. Let o = -9 + 13. Give t(o). -1 Suppose 4 = 3*z + z. Suppose -13 - 67 = -8*s. Let l(y) = 0*y**3 + 4*y**3 - y**3 - s*y + 11*y. Determine l(z). 4 Suppose -13*d - 13*d = 182 - 0. Let a(j) = -j**2 - 6*j + 1 - j**2 + j**2. Calculate a(d). -6 Suppose 4*q - 50*w = -45*w - 21, 15 = -q - 2*w. Let r(d) = d**3 + 10*d**2 + 8*d - 11. Calculate r(q). -2 Let u(k) be the first derivative of -k**2 + k + 50. Calculate u(-5). 11 Suppose 3*x - 7 = 2*x. Let q(c) = 6 - x*c + 2*c**2 - c**2 + 0*c + 0*c**2. Calculate q(6). 0 Let f(t) = -t - 6. Let m = -9 + 3. Let a be f(m). Let v be (a + 16/12)*-3. Let p(d) = d**3 + 3*d**2 - 2*d + 5. What is p(v)? -3 Let d be (-14)/12 - 954/108. Let l(f) = -f**3 - 10*f**2 + 11. Determine l(d). 11 Let s(d) be the first derivative of d**4/4 - 4*d**3/3 - 3*d**2 + d - 2. Let b(x) = -2*x**3 + 13*x**2 - 2*x - 19. Let w be b(6). Calculate s(w). -4 Let g(z) = 4*z**3 + z**2 - 2*z + 1. Let p = -23 + 21. Suppose i + 1 = j + 3, 0 = -i + 3*j + 2. Let d be -4 + i + 1 - p. What is g(d)? 4 Let g = -5 - -13. Suppose -8 = 2*q + 2*u, 5*q + g = -u - u. Let t(n) = -5*n + 3*n + q*n - n. Give t(-3). 9 Suppose 0 = -5*r - 5*f, -r - 4*r - 27 = -4*f. Let w(p) = 4 + 5 - 3 - 4 - 4*p. Determine w(r). 14 Let u(s) = 3*s**3 + 2*s**3 - 4*s**3 - 2 + 4*s**2 - 4*s. Suppose 91 = 8*j - 77. Let k be (j + -18)*(0 - 5/3). Determine u(k). -7 Let l be (-5)/(50/4) + 28/20. Suppose -165 = -5*w + 285. Let u(m) = 83*m - m**2 + l - w*m - 8. Give u(-6). -1 Let s(i) = -i**3 - 6*i**2 - 2*i - 8. Let m be s(-6). Suppose -6 = 2*a, 7*a + 43 = m*k + 2*a. Let v(z) = -z**3 + 7*z**2 + 2*z + 4. Give v(k). 18 Let d(o) = -11*o**2 - o. Let x(n) = 3*n - 10. Let h = -12 + 16. Let l be x(h). Let f be 0/(l/(-2)) - 1. What is d(f)? -10 Suppose q + 7 = -3*a, 0*q + a = 4*q + 2. Let v(f) = -7*f**3 - f**2 - f - 1. What is v(q)? 6 Let m be 4*(-9)/63 - 78/(-63). Let h(u) be the third derivative of 1/12*u**4 + 0 + 0*u - u**2 - m*u**3. Give h(3). 2 Let k(i) be the first derivative of i + i**2 - 1/3*i**3 + 8. Let t(y) = y**3 + y**2 - 4*y - 2. Let d be t(2). Calculate k(d). 1 Let t(i) = -15*i + 14. Let c(p) = 25*p - 27. Let v(k) = 4*c(k) + 7*t(k). What is v(5)? -35 Let n be (-5)/(-2) - 52/8. Let j(m) = m**3 + 2*m**2 - 4*m + 4. What is j(n)? -12 Let p(s) be the first derivative of -s**4/4 - 3*s**3 - 4*s**2 + s - 69. Determine p(-8). 1 Let v(g) be the third derivative of 3/2*g**3 - 1/120*g**6 - 6*g**2 - 1/24*g**4 + 0 + 7/60*g**5 - 6*g. What is v(7)? 2 Let i(h) = -2*h**3 + 3*h**2 - 1. Sup
{ "pile_set_name": "DM Mathematics" }
r: s or 2/5? 2/5 Let x be -3 - 0 - (5 + -11). Let n = 2 - x. Let o = 13/115 - -2/23. Which is bigger: o or n? o Let i be 175/(-1528) - (-13)/104. Are i and -1 equal? False Let q be ((2/9)/(-1) + 0)/1. Suppose -p + 5*t = -11, -3*p - 2*p - t + 3 = 0. Is p smaller than q? False Suppose 0 = 2*r - 6 + 4. Let t(j) = -j - 2 + 2. Let g be t(r). Which is bigger: -4/7 or g? -4/7 Suppose -4*i - 12 = -i. Let p = 309 + -314. Which is smaller: i or p? p Let k be (-13)/(-26)*16*4. Is k at least as big as 31? True Let f = -10 + 13.2. Let y = f - 3. Let o = 0 - -0.2. Are o and y nonequal? False Let m be 5152/(-52) + 1 + -1. Let k(u) = -5*u**2 - 6*u + 5. Let o be k(4). Let l = o - m. Which is smaller: -1 or l? -1 Suppose -2*a + 5 = -11. Let z = -1 + a. Let x = -8 + z. Do 1/12 and x have different values? True Let u = 223 - 221.14. Let r = 0.14 + u. Is -1/4 greater than or equal to r? False Let g = 5 - 6. Let k be 3/(g - 106/(-4)). Is 0 greater than k? False Let n(p) = p**2 - 3*p - 2. Let a be n(3). Let u be (5/a)/(1/(-14)). Let o = u + -173/5. Is 0.1 at most as big as o? True Let u be (-2)/4*(-2 - -2). Let c = -30 + 31. Which is smaller: u or c? u Let x = 11 + -7. Let i(c) = -c - 6. Let k be 4/(-1*(-4)/(-10)). Let g be i(k). Is x smaller than g? False Let b be (-3)/(-9) + 49/(-3). Let n = -33 - b. Are n and 1/4 equal? False Let k(z) = z**3 + 10*z**2 + 9*z + 2. Let q be k(-9). Let t(c) = 15*c + 4. Let y be t(3). Let o = 341/7 - y. Which is smaller: q or o? o Let t(o) = -o**3 + 8*o**2 + 9*o - 14. Let k(m) = -5*m**3 + 31*m**2 + 37*m - 57. Let u(p) = 2*k(p) - 9*t(p). Let a be u(-9). Which is greater: a or -1? -1 Let y = -10 - -14. Suppose 5 = y*r + 57. Which is smaller: 0 or r? r Let t = 97 + -85. Is t smaller than 11? False Let v = 1 - 0. Let k = 881/56 - 119/8. Which is smaller: k or v? k Let s(d) = d - 1. Let o be s(1). Suppose x = -3*j + 1, 3*j + 0*x + 2*x + 1 = o. Is j less than -1/3? False Let z = 378 - 1263. Let w be z/(-4725) + (-1)/7. Is 1 > w? True Let c = 133 + -236. Is c at least 0.1? False Let t be 2/(24/(-52))*3. Let y be 1 + (-4)/((-64)/t). Is y smaller than -1? False Let t = -1.7 + 1.9. Is t >= 0.2? True Suppose 3*r = -5*n - 12, -2*r - 4 + 0 = 2*n. Let l be (r - 2) + 3/3. Suppose p + l - 1 = 0. Which is smaller: 6/11 or p? 6/11 Suppose -2*z + 59 = -21. Suppose z = -f + 5*f. Suppose 5*l + 24 = 2*r, -3*l - 3*r = -2*r + f. Do -4 and l have the same value? True Suppose -4 = -4*a - 4*w, -5*a + 6*w - 5*w = 1. Let g be ((-2)/(-4))/(3/2). Is a less than g? True Let p(w) = -w**3 + 6*w**2 + 8*w - 7. Let o be p(7). Let r be (-3)/(-7)*(-49)/(-7). Are o and r non-equal? True Let n = -146 + 1025/7. Is 0 bigger than n? False Suppose -d - 2 = -3*d - 2*y, -4*d + y = -19. Let u be d - 3 - (0 - 1). Suppose 3*c + u*c = 10. Is 2 less than c? False Let x = 38 - 11. Does x = 26? False Suppose 3*a - 3*l - 84 + 231 = 0, 0 = a + 4*l + 69. Which is smaller: a or -54? -54 Suppose 0 = 4*b + b + 80. Let v be (2/b)/((-1)/1). Let j(d) = -d. Let w be j(-1). Which is smaller: v or w? v Let y(c) = -12*c + 5. Let b be y(0). Let t = 49 + -34. Suppose s = -2*s + t. Is s less than or equal to b? True Let u = -15 - -21. Let w be (1/4)/(u/16). Suppose 4*f - 3 = 1. Is w != f? True Suppose 3*s + 0*s - 6 = 0. Let d be (-12)/(s*-2) + 3. Is d equal to 5? False Let m = 7.913 - 0.013. Let c = m + -8. Let b = c + -0.9. Which is smaller: -0.2 or b? b Let l be 2/2 + 909/(-927). Is 1 smaller than l? False Let p = 1.008 + -0.008. Is -15 less than or equal to p? True Suppose 3 = -3*r, 5*b - 2*r = 3*r. Let c be 2/8 + (-34)/104. Is c bigger than b? True Let k(r) = 3*r + 9. Let h be k(-4). Let l be (-264)/32 - h/(-4). Is -8 at most as big as l? False Let r(d) be the first derivative of -d**2/2 - 3*d + 1. Let s be r(-3). Let y be 1 + -1 + s + 2. Which is greater: -0.2 or y? y Let a(h) = -h. Let n be a(-7). Let v = n - 2. Is v < 6? True Let z = -93 + 85. Which is smaller: -9 or z? -9 Let f = 0.1 + -0.3. Let w = -9.2 - -1.2. Let d = -10 - w. Do f and d have the same value? False Let f(v) = -131*v + 1. Let g be f(1). Let z = -395/3 - g. Which is greater: -2 or z? z Let s = -523/9 - -58. Does 0 = s? False Suppose 4*z - 48 = z. Suppose z = -w - 3*w. Which is bigger: w or -5? w Let n be (-7)/(-2)*(-3)/(-7). Let h = n + -29/14. Is h smaller than 0? True Suppose -2*t + 32 = 12. Let n = t + -6. Suppose -z + 5 = n. Is z != 1/4? True Suppose -15*s = -10*s - 195. Which is smaller: 41 or s? s Let h = 0.98 - 0.98. Are 6.1 and h nonequal? True Let o be 3/(-7) + (-266)/(-1078). Which is smaller: -1 or o? -1 Let t = -33 + 27. Is -4 bigger than t? True Let a(o) = -o**2 - 16*o + 10. Let g be a(-7). Is 72 less than g? True Suppose -2*w + 1 + 7 = 0. Let d be 5 + 0/((-4)/2). Is d equal to w? False Let n be (-44)/(-80) - 1/(-5). Is n bigger than 1? False Let i = -10.4 - -10. Let t = -0.3 - i. Do -1/4 and t have the same value? False Let i = -45910/49 - -937. Are i and 0 equal? False Let l = -31 - -34. Is 10/3 less than l? False Let o = 55 + -55. Let m = 3 + -2.94. Which is bigger: m or o? m Suppose 5 + 1 = x. Which is bigger: -2 or x? x Suppose -2*v = -5*v + n - 22, n = 5*v + 34. Let q = -2 - 4. Is v greater than q? False Suppose 0 = 3*q - 7 - 2. Let x = q + -1. Suppose -2*s - 3*h = -8*h - 14, -4*h - 4 = x*s. Is s at most 3/5? False Let v = 11835/29 + -408. Which is greater: 1 or v? 1 Let z be 146/(-6) + (-2)/3. Is z not equal to -26? True Let n be -2*((-1)/8)/1. Let r be (27/6)/((-6)/(-8)). Let s be 4/r*6/(-4). Do s and n have the same value? False Let o = 49.1 + -46. Let g = 6 + -9. Let f = g + o. Which is bigger: -0.2 or f? f Suppose -2*i + 5 = 3*i. Let u be (-2)/2 + 36/(-208). Let r = u - -12/13. Which is smaller: r or i? r Let b = 2 + 3. Let n(s) = 2*s**2 - s - 1. Let w be n(2). Is w > b? False Let b = -32 + 25. Which is greater: -19/3 or b? -19/3 Let h(i) be the second derivative of -i**4/12 + i**3 - 3*i**2/2 + 2*i. Let f be h(5). Let x(b) = b - 1. Let v be x(3). Is f <= v? True Suppose y - 1 = -5. Let n be (y/6)/((-14)/6). Let i be (-10)/(-35) + 2/(-7). Which is smaller: n or i? i Suppose 2*m = -r + 3*r - 8, 0 = 4*m + 20. Let d = 1 - 1.2. Let i = 0.4 + d. Which is smaller: r or i? r Let h = 16.92 - 1.92. Which is smaller: 1/6 or h? 1/6 Let o = 3 - 2. Suppose 4*y + 30 = -y. Let s be 2/4 - (-1)/y. Which is smaller: o or s? s Suppose -24 = -0*o + 4*o + c, 0 = -3*o - 4*c - 18. Is o equal to -5? False Let n = -26 - -14. Which is greater: -11 or n? -11 Let s = -98/3 + 32. Let o = 2 + 2. Suppose -o*f - 2 = 6. Which is greater: s or f? s Let s = 50 - 118. Which is smaller: 0 or s? s Let o(b) = 2*b + 1. Let v be o(2). Let p(d) be the second derivative of d**4/12 - 5*d**3/6 + 2*d. Let t be p(v). Is 0 smaller than t? False Let w = 113 + -113. Is w less than or equal to 1/9? True Let h = -2.21 - 22.89. Let n = -31 - h. Let v = 6 + n. Is -1 < v? True Let n = 1.61 + 1.39. Is n greater than or equal to 1/3? True Suppose -i + 24 = 21. Suppose -i*m + q = 12 + 5, m - 2*q = -14. Is m at least as big as -7/2? False Let s = 10 + -10. Which is smaller: s or 3/5? s Suppose 2*x - 3*s + 0*s - 85 = 0, 2*x - 5*s = 83. Which is bigger: 42 or x? x Suppose 2*s + 10 = i + 5*s, 3*s = 3*i - 6. Suppose 3*m + 15 = 0, 60 = -n + i*n - 3*m. Let f be ((-1)/(-5))/(4/n). Is 1 equal to f? False Let b(x) = -14*x + 4. Let l be b(-9). Let z be (-2)/13 + (-45)/l. Do z and -0.4 have the same value? False Let o = -0.65 - 0.05. Which is bigger: o or -1? o Let c be (-9)/7 + (-8)/(-28). Which is bigger: -42 or c? c Let h(k) = 6*k**3 + 20*k**2 - 10*k - 26. Let x(r) = -r**3 - 4*r**2 + 2*r + 5. Let b(o) = -2*h(o) - 11*x(o). Let m be b(3). Which is bigger: 2 or m? 2 Let u be (-6)/(-10) + (-6)/(-15). Are u and 2 equal? False Let c = -11 - -21. Suppose -k - s - 6 + 1 = 0, -2*s - c = 3*k. Which is bigger: k or 2? 2 Suppose -11*p + 2 = -10*p. Is 0 at least as big as p? False Let t = 29 + -26. Let l = -0.05 - -0.45. Let p = l + -0.3. Are p and t nonequal? True Suppose -4*g = -q + 6, g + 2*g - 5 = -4*q. Do 1/19 and g have the same value? False Let d = 1027397/255 + -4029. Is 1 < d? False Let r = 2 + -1. Let j be (20/50)/(1/(-35)). Let p be (-7)/j + 2/(-6). Which is bigger: p or r? r Suppose -5*q - 5*q + 10 = 0. Is q at most 0? False Let p = -5.07 + 5. Let k = -0.07 - p. Is 3/8
{ "pile_set_name": "DM Mathematics" }
7, q: 4, r: 1, m: 4, x: 3}. What is prob of sequence gcrm? 7/29070 Three letters picked without replacement from ynfffyennw. Give prob of sequence fwy. 1/120 What is prob of sequence uuw when three letters picked without replacement from {u: 17, w: 1}? 1/18 What is prob of sequence fkmi when four letters picked without replacement from miifmkii? 1/210 Four letters picked without replacement from {t: 5, v: 2}. Give prob of sequence tttt. 1/7 Calculate prob of sequence rrkr when four letters picked without replacement from {k: 3, r: 4}. 3/35 Two letters picked without replacement from {e: 3, o: 9, r: 1, j: 1}. What is prob of sequence oe? 27/182 Four letters picked without replacement from rrjrrrjjjjjjr. Give prob of sequence jrrj. 21/286 Calculate prob of sequence vfmv when four letters picked without replacement from vfmmmvm. 1/105 Four letters picked without replacement from {z: 1, n: 1, b: 4, p: 5, f: 3}. What is prob of sequence ffpf? 5/4004 Four letters picked without replacement from bbaaaaaaaabbb. What is prob of sequence baab? 28/429 What is prob of sequence on when two letters picked without replacement from osooonsylsos? 5/132 What is prob of sequence skl when three letters picked without replacement from lkalaskjsalskljk? 1/70 Four letters picked without replacement from {n: 11, j: 2}. Give prob of sequence nnjn. 3/26 Calculate prob of sequence rrr when three letters picked without replacement from xxxxxxrxxxrxxrx. 1/455 Calculate prob of sequence mfsm when four letters picked without replacement from pmiisimmppifii. 1/4004 Two letters picked without replacement from {t: 1, a: 1, x: 1}. What is prob of sequence at? 1/6 Calculate prob of sequence zxx when three letters picked without replacement from {z: 15, x: 4}. 10/323 Three letters picked without replacement from {c: 3, j: 4}. What is prob of sequence cjc? 4/35 Two letters picked without replacement from {i: 1, r: 1, x: 1, d: 1, v: 1}. Give prob of sequence vi. 1/20 Two letters picked without replacement from {k: 3, m: 1, j: 4, v: 8, b: 1}. What is prob of sequence jb? 1/68 Three letters picked without replacement from aayyyjaaeeayaaewaa. Give prob of sequence yja. 1/136 Two letters picked without replacement from {r: 1, h: 1, w: 5, c: 1, v: 1}. What is prob of sequence vw? 5/72 What is prob of sequence jr when two letters picked without replacement from krypkkkrkj? 1/45 What is prob of sequence dr when two letters picked without replacement from vjrjuvrvjd? 1/45 What is prob of sequence aa when two letters picked without replacement from rrrmrama? 1/28 Calculate prob of sequence cmcm when four letters picked without replacement from mzzcmc. 1/90 Two letters picked without replacement from ffzfffzzzvfv. Give prob of sequence vz. 2/33 What is prob of sequence iiii when four letters picked without replacement from iiii? 1 Four letters picked without replacement from fkcikkkkwkcikkcfw. What is prob of sequence fkcc? 1/595 Two letters picked without replacement from {u: 2, n: 4}. Give prob of sequence un. 4/15 Two letters picked without replacement from xyxemexexxxxxxxexmx. What is prob of sequence ym? 1/171 What is prob of sequence uuu when three letters picked without replacement from {u: 2, l: 9}? 0 Three letters picked without replacement from {x: 4, j: 2, c: 1, n: 10}. What is prob of sequence xjj? 1/510 What is prob of sequence dggd when four letters picked without replacement from {g: 3, d: 4}? 3/35 Three letters picked without replacement from lllolllllloollollllo. Give prob of sequence oll. 35/228 Two letters picked without replacement from vvvvkjvjvvvevvvevvv. Give prob of sequence kj. 1/171 What is prob of sequence hhuh when four letters picked without replacement from {h: 4, u: 5, b: 3, e: 1, s: 5}? 1/612 Three letters picked without replacement from {t: 10}. Give prob of sequence ttt. 1 Calculate prob of sequence tc when two letters picked without replacement from {c: 4, b: 3, t: 1, e: 2}. 2/45 What is prob of sequence qe when two letters picked without replacement from {u: 2, w: 1, e: 4, a: 7, q: 4}? 8/153 Four letters picked without replacement from {p: 1, y: 1, v: 3, w: 2, n: 3, q: 1}. What is prob of sequence wnqp? 1/1320 Four letters picked without replacement from {p: 2, z: 4, d: 5, s: 4}. Give prob of sequence psps. 1/1365 Calculate prob of sequence mddq when four letters picked without replacement from {j: 1, g: 2, q: 3, m: 4, d: 4}. 6/1001 Two letters picked without replacement from {z: 6, p: 4, f: 10}. Give prob of sequence pp. 3/95 Three letters picked without replacement from jjjijjjjjiijjjj. Give prob of sequence ijj. 66/455 Three letters picked without replacement from rrwfwwrrwwrxwfrrwx. What is prob of sequence xfw? 7/1224 Three letters picked without replacement from {e: 11, w: 2}. What is prob of sequence eww? 1/78 Four letters picked without replacement from {q: 2, d: 2}. Give prob of sequence qqdd. 1/6 What is prob of sequence tta when three letters picked without replacement from aatta? 1/10 Two letters picked without replacement from {o: 1, f: 1, n: 5, x: 2, t: 5, w: 1}. Give prob of sequence ow. 1/210 What is prob of sequence ttte when four letters picked without replacement from {e: 2, t: 6}? 1/7 What is prob of sequence ppgp when four letters picked without replacement from pggcppgpgp? 1/21 Two letters picked without replacement from {d: 1, u: 1, s: 2, z: 1, y: 2, i: 2}. Give prob of sequence zi. 1/36 Three letters picked without replacement from lcocrctooltoorr. Give prob of sequence tco. 1/91 Two letters picked without replacement from {p: 12, u: 1, w: 1}. What is prob of sequence wu? 1/182 What is prob of sequence at when two letters picked without replacement from accdamdtddwdca? 3/182 Calculate prob of sequence miu when three letters picked without replacement from {u: 1, i: 1, m: 4, t: 1, l: 3, s: 4}. 1/546 What is prob of sequence oou when three letters picked without replacement from {o: 3, u: 1}? 1/4 What is prob of sequence auip when four letters picked without replacement from pinau? 1/120 Two letters picked without replacement from qopxs. Give prob of sequence sq. 1/20 Two letters picked without replacement from qqull. Give prob of sequence lu. 1/10 Calculate prob of sequence fz when two letters picked without replacement from kknlkzbkfflbk. 1/78 What is prob of sequence oom when three letters picked without replacement from oomomm? 3/20 Four letters picked without replacement from gbzbdbbu. Give prob of sequence bzgd. 1/420 Three letters picked without replacement from {r: 1, g: 6, u: 1, h: 3, y: 4, w: 1}. Give prob of sequence rwg. 1/560 What is prob of sequence ovd when three letters picked without replacement from {v: 1, d: 1, w: 7, o: 6}? 1/455 Two letters picked without replacement from oaaoaoaooooopooaaaoa. Give prob of sequence ao. 22/95 Three letters picked without replacement from {v: 4, i: 6}. Give prob of sequence iiv. 1/6 Calculate prob of sequence zfm when three letters picked without replacement from mzmmizmzifizzzziifz. 32/2907 Four letters picked without replacement from fquldluf. Give prob of sequence ldfl. 1/420 Four letters picked without replacement from lftfbttlifltiffbf. Give prob of sequence ttil. 3/2380 Calculate prob of sequence sq when two letters picked without replacement from bqssbzbb. 1/28 What is prob of sequence vk when two letters picked without replacement from vvvvvkvzkzvvvkvvkmd? 22/171 Calculate prob of sequence sggh when four letters picked without replacement from {s: 3, d: 2, k: 3, g: 3, h: 3, p: 1}. 3/1820 Four letters picked without replacement from ikiiiikkiikkiikiiik. What is prob of sequence kiki? 77/1292 Calculate prob of sequence jo when two letters picked without replacement from {j: 5, n: 1, q: 1, x: 4, y: 1, o: 3}. 1/14 Three letters picked without replacement from yyiibybibybbpii. Give prob of sequence bip. 5/546 Three letters picked without replacement from bcbcc. Give prob of sequence bcc. 1/5 Two letters picked without replacement from sjomm. Give prob of sequence jm. 1/10 Two letters picked without replacement from irbrixrbxbxixi. Give prob of sequence rx. 6/91 What is prob of sequence jb when two letters picked without replacement from {m: 1, n: 3, l: 5, j: 3, b: 6, h: 1}? 1
{ "pile_set_name": "DM Mathematics" }
+ v*p + 5 = -9, 0 = -p - 3 for f. 1 Suppose -4*k + j = 4, 6*k + 12 = 2*k + 3*j. Solve -u - 2*d - d = 13, k = -u - 2*d - 8 for u. 2 Let o = -26 - -38. Suppose 3*b - o - 3 = 0. Solve 4*x + 2 = -j - 3, -j + 13 = -b*x for x. -2 Let j be (-4)/(-12) + 22/6. Solve 2 = -3*f - 4*q + 6, -j*q = -16 for f. -4 Let s(h) = 3 - 32*h**2 - 4*h + 33*h**2 + 0*h. Let n be s(5). Suppose -3*l + 31 = -3*c + n*c, -2*c + 5*l = 0. Solve -4*f = 4*w - 8, -4*f = -c*w + 3 + 25 for w. 4 Let o(a) = -a**3 - 10*a**2 + 11*a + 2. Let q be o(-11). Solve -5*u = 3*b, 0*b + q*b = 3*u for u. 0 Let x(j) = -1 - 2 + 2*j + 4. Let n be x(3). Solve 3*u - 4*b + n = -14, -4*u + 3*b = 21 for u. -3 Let i = 2 + 0. Suppose 0*p = 5*p + 4*o + 1, -4 = -p - 5*o. Let q = p + 1. Solve q = -5*b - 2*l + i, -23 = -5*b + 4*l + 3 for b. 2 Let j(o) = 5*o**2 + o - 1. Suppose 0 = -2*c - 1 + 3. Let f be j(c). Let s = f - 3. Solve 8 = -s*x + 4*r, 4*r - 6 = 3*x + 6 for x. -4 Let y = -10 + 17. Suppose y + 14 = -3*f. Let j = 3 - f. Solve -5*x - 2 = 4*k, -4*x + 1 = -k - j for x. 2 Let r(u) = -u**2 + 3*u + 4. Let n be r(-3). Let k = n + 14. Solve 8 = -2*x, z - x - x - 5 = k for z. -3 Let x be (54/12)/((-3)/(-4)). Solve x = -3*d, -d - 5 = 5*f + 4*d for f. 1 Let q be 2/7 - (-52)/14. Let c = 0 - -3. Let r be 3*1*5/c. Solve r*j + 14 = -2*b, -2*j + q = -5*b - 2 for j. -2 Suppose -k + 6 = 2*k. Suppose 0 = k*q - q - 3. Solve -28 = -4*o - o - 2*l, -l = -q*o + 8 for o. 4 Let t = 7 + -3. Suppose 0 = -7*l + 3*l + 12. Suppose -l*v = v - 96. Solve -f - t*f - v = -2*d, 0 = -4*f - 16 for d. 2 Let i(q) = 3*q - 3. Let v be i(-7). Let k be v/32 - (-3)/4. Solve 23 = -2*y + 5*a, k*y - 4*a = 2*y - 4 for y. -4 Let t be 36/(-90) - ((-14)/10 + -2). Solve 4*m + t*h + 2 + 3 = 0, -m - 4*h - 11 = 0 for m. 1 Suppose -y + 2*y - 12 = 0. Let p = 21 - y. Solve 5*j = -4*r - 17, 4*r - p = 2*j + 9 for j. -5 Suppose 2*r = -2*r + 32. Solve 2*x = -2*o - 2, 3*x = o - 11 - r for o. 4 Suppose -4*q = 4*c - 80, -3*c + 4*q + 6 + 26 = 0. Solve d - 5*g + c = -d, 0 = 4*d + 2*g + 8 for d. -3 Suppose 12 = 3*c - 21. Suppose 4 = c*i - 9*i. Solve -4*w + 3*o + 8 = 0, i*w - 3*o - 4 = -0*o for w. 2 Let t be (-14)/(-3) - 2/(-6). Suppose -20*f + 85 = -3*f. Solve 4*b - f*a - 15 = b, t*b = 2*a + 25 for b. 5 Suppose -2*r = -4*m + 26, 5*m - 3*r = -2*r + 34. Let h = 9 - m. Solve -2*z - 4*y = -14, -z - 9 = -4*y + h*y for z. -1 Suppose d + 8 + 2 = 0. Let z = d + 12. Solve -o - 1 = 6*i - z*i, -2*o = i + 2 for o. -1 Suppose 5*x + 5*z = 245, -2*x + 3*z = -0*x - 83. Suppose 2*l = -8 + x. Suppose -l = -5*f + 31. Solve -2*b = -3*y + 13, -2*b + 3*y - f = 3*b for b. 1 Let l(y) be the first derivative of 4*y**3/3 + y - 2. Let d(c) = -c + 6. Let a be d(4). Let f be l(a). Solve 4*z = -2*t - 10, -t - 4*z - f = -6*t for t. 1 Suppose -3*k - 36 = 3*q - 6*k, -2*q - 22 = -k. Let h(n) = n**3 + 10*n**2 + 1. Let l be h(q). Solve 2*b = 3*w - 9, 21 + l = -b + 5*w for b. 3 Let u(a) = -a**3 + 4*a**2 - 2*a + 1. Let b be u(3). Suppose -6*w + b*w = 12. Let p = 8 + w. Solve -5*n = -f + 17, -3*f + 5 = -p*f - n for f. 2 Suppose -i - 6 = -5. Let v be 114/30 + i/(-5). Suppose 5 = v*n - 3*n. Solve 10 = 4*x - 6*x + 2*h, -n = 2*x + 3*h for x. -4 Let u be -15*(-2)/(-3) - -1. Let g = 10 + u. Suppose 4*x = g + 15. Solve -q - y = -2, q - x*y - 8 = -2*y for q. 4 Let v = -39 + 21. Let a be (v/30)/(1/(-5)). Solve -z - 28 = -a*q - 6*z, -q - 24 = -5*z for q. 1 Suppose -2*k + 8 = -2*f, 15 + 1 = 5*k - 4*f. Let x = k - -1. Let w be 0 - (-6)/(2/x). Solve 3 = 3*t + w*s, 4*t = s - 0 - 6 for t. -1 Suppose -4*p = -3*g + 6, 2*g - p = -3*p + 18. Solve 5*m - 20 = 0, -3*h = -m + g*m - 14 for h. -2 Let b be -6 + 3 + 4 + 2. Let g = 10 + -8. Solve -b*w = 4*f + 2, 7 = 3*f - 4*w + g*w for f. 1 Suppose 8 - 16 = -y. Solve -5*n + o - 10 = 0, -2*n + 3*n + o + y = 0 for n. -3 Let d = -6 + 8. Let y = 3 + d. Solve 3*z + 27 = -y*g + g, 0 = -2*z - 10 for g. -3 Suppose -3*k - 1 = -2*v, -5*v - 3*k + 0*k = -13. Suppose -5*d = 5*q - 10*q + 5, -3 = d. Let r be (q + 8)/(1*2). Solve -g = -t, -r*g = -t + v*g + 4 for t. -1 Let n be ((-9)/2)/(12/(-8)). Suppose n = 2*h - 1. Solve -3*r + h = 4*m, 0*m = 2*r + m - 3 for r. 2 Let c(x) = -3*x - 15. Let d be c(-8). Let s be d/(-45) + (-1)/(-5). Solve 5*z + s*z + 9 = 2*h, -3*z + 6 = -5*h for z. -3 Let w = -17 + 21. Suppose -20 = -a - w*a. Solve -2*h - 8 = a*l - 22, -2*h = -2*l - 2 for l. 2 Suppose -p = -4*n + 21, -4*n = p + 3*p - 16. Suppose -15 = n*w - 10*w. Solve v = 5*y - 18, w*y - 5*v - 16 = 8 for y. 3 Let i = 32 + -28. Solve -28 = i*v + 5*o, v = -o - 1 - 5 for v. -2 Let x(n) = 4 + 2*n - 2*n - n**2 - 5*n. Let d be x(-5). Solve -2*j - 2*j = -2*m, d*j = 4*m + 8 for j. -2 Let w = -15 + 19. Suppose 0 = h - 3*l - w, l = 3*l. Solve -2*u - 7 = u - z, -h*z = -4 for u. -2 Let i(c) = c**2 - 3*c - 1. Let a be i(4). Suppose 6*v - a*v = 15. Solve 0*x = 2*x + s + 9, 5*s + 25 = -v*x for x. -4 Let o = 101 + -97. Solve 4*f - o = -2*c, f + 8 = c + 3*c for f. 0 Let g = -5 - -7. Let y = 10 + 5. Suppose 0 = -7*k + 2*k + y. Solve 2*i = 4*u - 26, 0*i - g*u = -k*i - 23 for i. -5 Let y = 2 + 0. Let v be (-63)/6*(-2 - -4). Let o be y/(-4) + v/(-6). Solve 5*h + n + 10 = o*h, h = -n - 6 for h. -4 Let q(n) = 5*n - 7. Let u be q(3). Solve 0*k - 4*k - u = -4*d, -4*d = k + 7 for d. -1 Suppose 4*j + 0*j - 29 = 3*u, -2*j = u - 7. Let p be (-60)/45*(-18)/4. Solve -3*r + 0*r = 3*n - p, -j*n = -2*r - 3 for r. 1 Suppose 3*l = 3, 5*r - 5*l = -0 + 5. Solve -r*x + 4*g - 10 = 0, 0*x - g + 13 = -4*x for x. -3 Let y = -43 + 46. Let v = -26 - -46. Solve 0*s + y*s + 22 = -5*u, v = -3*u + 5*s for u. -5 Let q(h) = h**2 - 6*h + 6. Let m be q(5). Let w be -2*m/(4/(-6)). Suppose 10 = 3*b - b. Solve 5*c = 3*r - b + 14, -c + r = -w for c. 0 Let s be 8/(-36) - (-4)/18. Let x be (-3 + 4 - 2) + 3. Solve s = -x*i, 4*l + 3*i = -0*i + 20 for l. 5 Let g be (24/18)/(1/3). Solve -r - 6 = 3*f, -3 = -3*r + g*r + 2*f for r. 3 Suppose -6*a = -2*a - 16. Solve 0 = -i - 9*g + a*g + 14, i - 2*g = 0 for i. 4 Let p be (-28)/8*24/(-21). Suppose 9 = -t + p*t. Solve 2*m + t = -4*k + 17, 2*k + 23 = 5*m for m. 5 Suppose -5*w = -2*n - 6, 3*w = -3*n + n + 10. Solve -n*z - 18 = -2*k, 3*z - 6*k + 2*k = -31 for z. -5 Let q = 2 - 0. Suppose 0 = 5*c + q*b - 54, 4*b = -2*c + 2*b + 24. Solve -3*k - 4*s - 6 + 26 = 0, -5*s + c = 0 for k. 4 Let l be (1 + (-8)/(-2))*1. Suppose 0*y + 6 = 2*y. Suppose -30 = -2*o - y*o + 2*d, -3*o = 4*d - 18. Solve -3*w + l*c = -19, o*w = w + 5*c + 15 for w. -2 Let z = 9 - 4. Solve 2*u - 2*c = 0, 0 = 4*u + z*c - 8 - 19 for u. 3 Suppose c + x = -3 + 13, 0 = 3*x - 15. Suppose -c*r = -3*r - 6. Solve m - 24 = -5*d, m - r*d + 8 = -0*m for m. 4 Let q(a) = -a**3 - 11*a**2 + 28*a + 29. Let m be q(-13). Let j = 3 - 0. Solve m*u - 1 + j = 2*c, 2 = u for c. 4 Let k = 11 + -8. Suppose -b + 6 = 4*t - 13, -k*t = b - 15. Solve -5*c = -t*o - 30, 0 = 5*c - 0*o - 3*o - 25 for c. 2 Suppose -248 = -3*g - g. Suppose 0 = -3*x + x + 2*q + 52, -g = -2*x + 4*q. Solve 8*d - 32 = 4*h + 4*d, 3*h + x = 2*d for h. -5 Let d be (10 - 0)/(1 + 1). Let m = 7 + 0. Suppose m*z - 2*z = 125. Solve -d*v = a - z, 0*v = 3*a - 5*v + 25 for a. 0 Let n be 1/(2 - (-7)/(-4)). Suppose -3 = -n*m + 17. Suppose m*v - v - 8 = 2*c, 0 = 5*c. Solve -13 = 5*z + 4*u, -v*u - 3*u - 5 = 4*z for z. -5 Suppose 0 = -3*v - 3*f - 11 + 41, -2*v = -5*f - 13. Let t(z) = z**2 - 2*z**2 - 1 - v*z + 2*z. Let r be t(-6). Solve r*s - o = -2, -3*s - 9 = 5*o - 3*o for s. -1 Suppose 5*x - 102 = 3. Solve -3*p + 0*a - x = 3*a, 5*p + 3*a = -25 for p. -2 Suppose 0 = 4*i + i + 5, 3*i + 14 = m. Suppose s + m = 5*y + 2*s, y - s = 1. Solve 0*w + 24 = 4*w - 2*x, 5*w - y*x - 28 = 0 for w. 4 Let z(c) = c**3 + 5*c**2 - 6*c. Let f(t) = -t - 3. Let p be f(-6). Suppose p*n + 24 = -n. Let b be z(n). Solve -2*u = -2*i + 2, b = -u - 0*u - 3 for i. -2 Let x(z) = -z - 6. Let g(l) = -3*l - 17. Let f(y) = -4*g(y) + 11*x(y). Let u be f(-3). Let k be 1*(0 - u)*1. Solve 3*c + k = -q, 3*q + 12 = -0*q for c. 1 Suppose -2*t = 2*t. Suppose 2*m - 16 - 20 = t. Let s = 4 + -2. Solve 5*v + m = s*k, -2*k - 3*k - 2*v - 13 = 0 for k. -1 Let l = 36 + -33. Solve -2*t + c + 3*c = -2, 4*t = -l*c + 26 for t. 5 Let r = 36 + -11. Suppose 0 = -b - 5*v + r, 0*b + v = -4*b + 62. Let i = b - 11. Solve -4*q + 20 = -0*q - i*x, -5*x = -q + 21 for q. 1 Let g = -9 + 12. Solve u - 12 = -0*r -
{ "pile_set_name": "DM Mathematics" }
. 1/35 What is prob of sequence nd when two letters picked without replacement from {b: 1, c: 2, d: 4, n: 1}? 1/14 Four letters picked without replacement from bwlqrabqllbl. What is prob of sequence bawl? 1/990 What is prob of sequence evvv when four letters picked without replacement from {e: 3, v: 3}? 1/20 Three letters picked without replacement from rmrmaaaammmrarammaar. What is prob of sequence ara? 7/171 Calculate prob of sequence oyq when three letters picked without replacement from yqooqoqqoooyq. 5/143 Two letters picked without replacement from {b: 1, j: 1, r: 1, f: 5, y: 3}. What is prob of sequence yf? 3/22 What is prob of sequence blu when three letters picked without replacement from {b: 2, u: 1, l: 2}? 1/15 What is prob of sequence nnnm when four letters picked without replacement from {n: 1, h: 1, m: 7}? 0 Two letters picked without replacement from lml. Give prob of sequence lm. 1/3 Four letters picked without replacement from {v: 1, k: 3}. Give prob of sequence kkvk. 1/4 Four letters picked without replacement from ttttttftttftftftttt. Give prob of sequence fftt. 35/1292 Calculate prob of sequence dada when four letters picked without replacement from ooaodddadddddoooodo. 1/646 Three letters picked without replacement from {p: 1, h: 5, b: 11}. Give prob of sequence pbb. 11/408 Calculate prob of sequence fi when two letters picked without replacement from fhgci. 1/20 Four letters picked without replacement from bmkbkmmzz. Give prob of sequence bbzm. 1/252 Three letters picked without replacement from xfxffoqxxxxxxfxffufq. What is prob of sequence ffo? 7/1140 Two letters picked without replacement from {r: 4, w: 6, q: 1}. Give prob of sequence rr. 6/55 Two letters picked without replacement from uuuhuuuu. Give prob of sequence uh. 1/8 What is prob of sequence ro when two letters picked without replacement from aogooaraolro? 5/66 Three letters picked without replacement from aprraggs. What is prob of sequence aar? 1/84 Four letters picked without replacement from {y: 2, d: 3, o: 4, u: 6}. Give prob of sequence uood. 3/455 Three letters picked without replacement from bhqbxbbldhbhbqbbbb. Give prob of sequence xhq. 1/816 Calculate prob of sequence ggoo when four letters picked without replacement from {o: 7, g: 6}. 21/286 Two letters picked without replacement from {b: 5, r: 3, u: 4, p: 1, i: 1}. Give prob of sequence ur. 6/91 Two letters picked without replacement from {g: 1, a: 2, k: 4, h: 3, e: 2}. Give prob of sequence eg. 1/66 What is prob of sequence it when two letters picked without replacement from {l: 1, t: 2, i: 2, d: 1, m: 1}? 2/21 What is prob of sequence fg when two letters picked without replacement from pdznfng? 1/42 Two letters picked without replacement from {m: 1, j: 3}. Give prob of sequence mj. 1/4 Four letters picked without replacement from {m: 1, z: 1, i: 4, f: 2, e: 6, l: 1}. What is prob of sequence elim? 1/1365 What is prob of sequence nkn when three letters picked without replacement from {f: 1, n: 2, k: 1, g: 1, b: 1, v: 1}? 1/105 Two letters picked without replacement from {z: 5, w: 6, d: 1, t: 4}. Give prob of sequence zz. 1/12 Calculate prob of sequence bp when two letters picked without replacement from {r: 1, p: 2, g: 7, z: 1, b: 4, u: 2}. 1/34 Two letters picked without replacement from {u: 4, f: 2}. What is prob of sequence uf? 4/15 What is prob of sequence yqy when three letters picked without replacement from ppwwwqwywywydwdmw? 1/680 What is prob of sequence ti when two letters picked without replacement from issqiiitisiqiiisisi? 11/342 What is prob of sequence lllz when four letters picked without replacement from {z: 7, l: 5}? 7/198 Four letters picked without replacement from kukukkku. What is prob of sequence uuku? 1/56 Three letters picked without replacement from {c: 3, w: 3}. What is prob of sequence cwc? 3/20 Calculate prob of sequence sdj when three letters picked without replacement from {s: 2, n: 1, e: 11, d: 1, j: 2, h: 1}. 1/1224 Calculate prob of sequence cc when two letters picked without replacement from xccc. 1/2 Three letters picked without replacement from ffmmmmmmmmummmmmmfmm. Give prob of sequence mum. 2/57 Calculate prob of sequence sd when two letters picked without replacement from {d: 1, s: 1, h: 10, r: 3}. 1/210 What is prob of sequence qqgm when four letters picked without replacement from ggmqmqmqmgmqq? 5/286 Four letters picked without replacement from {g: 9, w: 4, e: 3}. What is prob of sequence gwwe? 27/3640 What is prob of sequence ffxf when four letters picked without replacement from {x: 3, f: 6, p: 4}? 3/143 Calculate prob of sequence oza when three letters picked without replacement from {o: 2, a: 8, x: 1, z: 7}. 7/306 Four letters picked without replacement from {x: 7, c: 6}. Give prob of sequence cccc. 3/143 What is prob of sequence eegf when four letters picked without replacement from {e: 3, f: 1, g: 7, z: 1}? 7/1980 What is prob of sequence ccc when three letters picked without replacement from ccccchhchhhchccchchh? 11/76 Three letters picked without replacement from brnbrnrvsfvrvbv. Give prob of sequence bsr. 2/455 Three letters picked without replacement from fgiiiiiifigllggql. What is prob of sequence qif? 7/2040 Calculate prob of sequence klx when three letters picked without replacement from xlxpllpxjqllk. 5/572 Calculate prob of sequence pp when two letters picked without replacement from {q: 7, p: 4}. 6/55 Four letters picked without replacement from {y: 2, h: 5, l: 2}. What is prob of sequence hyll? 5/756 Two letters picked without replacement from eneeeznnnnwsenenwe. Give prob of sequence ew. 7/153 Calculate prob of sequence yy when two letters picked without replacement from {j: 2, y: 17}. 136/171 What is prob of sequence ass when three letters picked without replacement from {z: 5, b: 7, a: 5, s: 2}? 5/2907 Two letters picked without replacement from ytggwygtyytytlwtlt. What is prob of sequence tt? 5/51 Two letters picked without replacement from eeeeeeeeeeeelleele. Give prob of sequence ll. 1/51 Four letters picked without replacement from sssskksccsccs. What is prob of sequence kccs? 7/715 Four letters picked without replacement from {r: 5, n: 3, g: 4}. Give prob of sequence grrn. 2/99 Calculate prob of sequence gwwp when four letters picked without replacement from pwwwwgwgkg. 1/84 What is prob of sequence ohbb when four letters picked without replacement from {o: 8, b: 2, h: 1, l: 2}? 2/2145 Two letters picked without replacement from {u: 1, p: 7}. What is prob of sequence pp? 3/4 Two letters picked without replacement from xxlxxxxxxbx. Give prob of sequence xb. 9/110 Calculate prob of sequence idw when three letters picked without replacement from wciivwiwcdiiicw. 4/455 Two letters picked without replacement from {y: 2, r: 1, u: 3, m: 1, i: 6}. Give prob of sequence yy. 1/78 Three letters picked without replacement from {i: 4, p: 1, h: 3}. What is prob of sequence pih? 1/28 Calculate prob of sequence aay when three letters picked without replacement from {a: 8, y: 2}. 7/45 Three letters picked without replacement from {j: 6, y: 1, w: 3, q: 3}. Give prob of sequence qjq. 3/143 Two letters picked without replacement from {x: 2, t: 1, g: 2, i: 3, o: 1, q: 8}. What is prob of sequence qo? 1/34 Calculate prob of sequence xcx when three letters picked without replacement from xcxcccjxxjxj. 2/33 Four letters picked without replacement from putyytpytt. What is prob of sequence ypuy? 1/420 Three letters picked without replacement from {q: 2, v: 3}. Give prob of sequence vvq. 1/5 Three letters picked without replacement from {v: 2, k: 1, x: 1}. What is prob of sequence vkv? 1/12 What is prob of sequence li when two letters picked without replacement from spsallsyiaa? 1/55 What is prob of sequence kyy when three letters picked without replacement from ynfknyknkmknrnffkkfk? 7/3420 Two letters picked without replacement from {c: 1, f: 3, e: 4, v: 5}. Give prob of sequence ec. 1/39 Calculate prob of sequence bb when two letters picked without replacement from ccbbcuoccb. 1/15 What is prob of sequence xxx when three letters picked without replacement from {x: 5}? 1 What is prob of sequence ggoo when four letters picked without replacement from ooo
{ "pile_set_name": "DM Mathematics" }
p)*(-1 - 2 + 2) - p - 2*p + p + 3*p - 6*p + p)*(4 - 4 - 26*p). 78*p**2 Expand (-146*n + 146*n + 39*n**2)*(1 - 5 + 6 + (-3 + 2 - 1)*(1 - 1 - 1) - 3 + 2 + 3 + 3 - 4 + 3 + 0 + 0 + 2)*(0 + 2*n + 0). 780*n**3 Expand (-4 - 1 + 2)*(-2*w + 3 - 3)*(-271 + 271 + 17*w) - 2 + 2*w**2 + 2 + (5*w**2 - 3*w**2 - 3*w**2)*(1 + 4 - 7) + 4*w**2 - 5*w**2 + 2*w**2. 107*w**2 Expand (-1 + 1 + 2)*(3*h + 1 - 1) + 3 + 2*h - 3 + 13*h + 9 - 9. 21*h Expand -16*s**3 + s**3 + 4*s**3 + (3 - 3 - 2)*(-s**3 + 4*s**3 - s**3) - 4*s**3 + 5*s**3 + 2*s**3. -12*s**3 Expand (z - z - 2*z)*(34 - 173 - 61). 400*z Expand (2 - 2 - 2)*(18 - 177 - 47*o - 196 + 48*o). -2*o + 710 Expand (-4 + 4 - 2*v**2)*(2*v + 2*v - v) + (-135 + 135 + 46*v**2)*(-v + v - 3*v). -144*v**3 Expand (5*r**2 - 9*r**2 - 6*r**2)*(r - 42*r - 4*r). 450*r**3 Expand (-102 + 102 + 21*u)*(-2*u**3 + 1 - 1) + (2*u + 0*u - 3*u)*((0*u**2 + 2*u**2 - 4*u**2)*(-3*u + 6*u - 4*u) + 2*u**3 + 2*u**3 - 3*u**3). -45*u**4 Expand 0 - 5*n**2 + 0 + n**2 - 2*n**2 - n**2 + (1 + 1 - 1)*(-2*n**2 + 2*n**2 - 2*n**2) + (0 + 0 - 1)*(-n**2 - 2*n**2 + n**2 + (-n**2 - 3*n + 3*n)*(-2 + 7 - 3)). -5*n**2 Expand (12 + 4*y - 12)*(2 + 3 - 3)*(3 - 3 + 2*y)*(-87*y + 13*y - 68*y). -2272*y**3 Expand (4 - 1 - 4)*(3 - 3 - 4*x) + (-1 + 4 - 2)*(5*x - 4*x + x). 6*x Expand (1 + 4 - 3)*(-96*p**3 + 366*p - 366*p) + (0*p - 4*p + 2*p)*(4*p**2 + 0*p**2 - 6*p**2). -188*p**3 Expand (-50 + 16 + 2*c - 13)*(11 + 6 - 7). 20*c - 470 Expand (2*w**3 - 4*w**3 + 3*w**3 + (-6*w**2 + 2*w**2 + 3*w**2)*(-w + 2*w + w) + 131 - 37*w**3 - 131)*(0 - 2*w**2 + 0). 76*w**5 Expand (-2 - 2 + 1)*(160*d**5 + 59*d**2 - 161*d**5 + 67*d**2 + 4). 3*d**5 - 378*d**2 - 12 Expand (-14*k + 2*k - 4*k)*(-8*k + 4*k - 9*k). 208*k**2 Expand (-229 - 107 + 152 - 200)*(-4*q + 3*q + 4*q). -1152*q Expand 5 - 5 - 9*r - 3*r + 2*r + 0*r + (2 - 3 - 1)*(-2*r + 3 - 3) - 5*r - 2*r - 7*r. -20*r Expand (4 - 1 - 1)*(-2*o + 4*o + 0*o)*(14 + 4 + 25)*((-3*o + o + 4*o)*(-4 - 6 + 4) - o + 1 - 1). -2236*o**2 Expand (3*x**2 - 3*x**2 + 3*x**2)*(0 + 0 + 4*x + 3). 12*x**3 + 9*x**2 Expand (-113*o - 135 + 135)*(-4 + 4 + 3*o). -339*o**2 Expand -3*q**3 + 4*q**3 - 4*q**3 + (16*q**2 + 15*q**2 - 10*q**2)*(5*q - 2*q - 4*q). -24*q**3 Expand (1 + 0 + 1)*(8*a - 4*a + 3*a)*(4*a**3 + 12*a - 12*a). 56*a**4 Expand -5 - 2*o**2 + 5 + 0 + o**2 + 0 + (4*o - 6*o + o)*(-o + 6*o - 3*o) - o + o - o**2 - 1 + 1 + o**2 - 62*o**2 - 61*o**2 + 64*o**2. -62*o**2 Expand (-1 + 2*q**2 + 1)*(15 + 520*q - 35 + 20). 1040*q**3 Expand ((-5 + 1 + 2)*(0 + 0 - 2*v**3) - 5*v**3 + 0*v**3 + 4*v**3)*(-3*v**2 + 41*v - 66*v + 5 + 21*v). -9*v**5 - 12*v**4 + 15*v**3 Expand -w + 2 - 2 - 1107 + 1107 + 32*w + (-5*w + w + 3*w)*(0 + 4 - 3). 30*w Expand (v**2 + 0*v + 0*v)*(-6*v - v + 4*v)*(-51 + 13 - 58). 288*v**3 Expand (-z**4 - z**4 - z**4)*((0 - 1 - 7)*(0*z - 3*z + z) + 3*z - 2*z + 0*z). -51*z**5 Expand (j + 5*j - 4*j)*(6002 - 6002 + 68*j). 136*j**2 Expand (0*m - 5*m + 3*m)*(-6*m - 77*m - 143*m). 452*m**2 Expand (-d + 2*d - 22*d)*(4 - 5 - 2). 63*d Expand (-3*n**2 - 2*n**2 + 6*n**2)*(4384*n**3 - 2202*n**3 - 2197*n**3 + 10*n**2). -15*n**5 + 10*n**4 Expand (13*u + 1 + 24*u + 17*u)*(-16*u**2 - 5*u**2 + 4*u**2). -918*u**3 - 17*u**2 Expand (-3*h**2 - 15*h + 15*h)*(-105 + 105 - 11*h**3). 33*h**5 Expand (-x - 4*x + 4*x)*(-34*x**2 + 54*x**2 - 39*x**2)*(-x**2 + 3*x**2 - x**2). 19*x**5 Expand -3*j + 3*j + j + 4*j - 5*j + 2*j + (3 + 1 - 2)*(-1 + 2*j + 1) + 36 - 10*j - 14 - 14. -4*j + 8 Expand (0 - 4 - 2)*(-2 + s**3 + 2) - 2*s**3 - s**3 + 5*s**3 - 10*s**3 + 1 - 1. -14*s**3 Expand (6*b**2 - 9*b**2 - 12*b**2)*(8*b**2 - 23*b**2 + 12*b**2). 45*b**4 Expand (-131 + 131 + 5*j**2)*(8*j**2 - 54*j**2 + 18*j**2). -140*j**4 Expand (-o - 2*o - 3*o)*(6 + 0 + 3*o + 5). -18*o**2 - 66*o Expand (2*j - j - 2*j)*(-2*j + j + 3*j + (-4 + 4 - 1)*(1 - 1 + j) + 2*j - 6*j - 10*j - 3*j + 2*j + 3*j). 11*j**2 Expand (3 - 2 + 2)*(j + 5*j - 4*j + (-4 - 2 + 3)*(1 - 1 + 2*j)). -12*j Expand (3 - 3 + g**2)*(-4*g**3 + g**3 + 0*g**3) - g**5 + 2*g**5 - 2*g**5 + (0*g**2 + 0*g**2 - 2*g**2)*(-2 - 3*g**3 + 2). 2*g**5 Expand (48 - 61 + 37)*(11*k + 3 - 11*k + k**2). 24*k**2 + 72 Expand (19*r - 3*r + 1 + r + (4 - 5 + 0)*(-8*r + 3*r + 2*r))*(-3*r - r + 5*r)*(r**2 + r**2 + 0*r**2). 40*r**4 + 2*r**3 Expand (-2*j**4 - j**4 + 5*j**4)*(3 - 4 - 1) - 1261*j - j**4 + 1315*j - 5*j**4. -10*j**4 + 54*j Expand (-2*r + 3*r - 8*r)*(-15*r + 2 + 38*r**2 + 42*r**2 - 82*r**2). 14*r**3 + 105*r**2 - 14*r Expand 0*q - 2*q + 13 + 4510*q**2 + q**4 - 4499*q**2 + (-q**2 - q**2 + 0*q**2)*(q**2 - 3*q**2 + q**2). 3*q**4 + 11*q**2 - 2*q + 13 Expand (-317 + 293 + 434)*(2*h**3 + 4*h + h**3 + 2*h**2 - 3*h). 1230*h**3 + 820*h**2 + 410*h Expand (-i**2 - 4 + 4)*(-i + 2*i + i) + (3 - 7 + 16)*(-3 + 3 + 3*i**3). 34*i**3 Expand (5049*z - 47*z**2 - 5049*z)*(0 - z + 0)*(2 + 2 - 5). -47*z**3 Expand (175*d + 2*d**2 - 175*d + 28)*(-1 + 2 + 4). 10*d**2 + 140 Expand (5 + 3 + 9)*(8*o + 28*o**5 - 10*o - 7*o**5). 357*o**5 - 34*o Expand (i + 1 - 1 + (1 + 1 - 1)*(-2*i - 2*i + 3*i) + 4 - 4 + 2*i + (109*i - 30*i - 26*i)*(-3 + 0 + 0))*(-i**4 + 3*i**3 - 3*i**3). 157*i**5 Expand 4*p - 4*p + 314*p**2 + 16*p**2 + (0 + p + 0)*(p - 2 + 2). 331*p**2 Expand (-3*d + 0*d + 4*d + (2 + 2*d - 2)*(-4 + 4 + 1) - d + 3*d - 3*d + (0*d - d + 6*d)*(5 - 1 - 1))*(1 + 3 - 2). 34*d Expand (-r + 2*r + r + (-4 - 4 - 1)*(11*r + 3*r - 2*r))*(r**3 - r**3 - 2*r**3). 212*r**4 Expand (3*o + 6 - 6 + (2 - 2 - 2)*(-6*o + o + o))*(2*o - 3 + 3). 22*o**2 Expand (4*g**2 - 94 - 6*g**2 + 38)*(2*g - 3*g + 3*g)*(-g + 3*g - g + 4*g - 2*g - 3*g + (-5 + 4 + 0)*(4*g + 2*g - 5*g) + g - g - 3*g). 16*g**4 + 448*g**2 Expand 56*m**5 - 29*m**5 + 47*m**5 - m**5 - 2*m**2 + 3*m**2 + 0*m**5 + (-m**4 - 3 + 3)*(3*m + m - 6*m). 75*m**5 + m**2 Expand 23*g - 4*g - 13*g + (-2*g + g - 2*g)*(1 + 1 - 1) + 1 - 2*g - 1. g Expand (2*c - c - 4*c)*((-2*c**2 + 2*c - 2*c)*(-2 - 2 + 6) + 2*c**2 - 4*c**2 + 0*c**2) + (0*c**2 - 4*c**2 - 2*c**2)*(-4 + 4 + 2*c). 6*c**3 Expand -y**3 + 13*y**3 - 3*y**3 + (-y + 1 - 1)*(0*y**2 + 2*y + 3*y**2 - y**2). 7*y**3 - 2*y**2 Expand (-3*i - 2*i + 6*i)*(-i + 2014 - 4353 + 2050). -i**2 - 289*i Expand (0*w + w - 3*w)*(-254*w**3 - 109*w**3 + 396 - 398). 726*w**4 + 4*w Expand 18*u**5 - 8*u**5 + 13*u**5 + (-37 + 10*u**2 + 37)*(u**3 - u**3 - 2*u**3) + (-1 + 1 - u**2)*(3*u - 3*u + u**3). 2*u**5 Expand 3*l**2 - 7 - 6 + 17 + (5 - 1 + 5)*(-l**2 - l**2 + 5*l**2). 30*l**2 + 4 Expand (-g + 0*g - g)*(-3 + 6 - 1)*(240 + 107 + 204). -2204*g Expand (4*b**3 - b**3 - 2*b**3)*(7*b**2 - 4*b**2 + 141 + 157*b - 159*b). 3*b**5 - 2*b**4 + 141*b**3 Expand (5 - 5 + 4)*(10*a**2 + 45*a**2 + 7*a**2 + 32*a**2). 376*a**2 Expand ((2*y - 5*y + 2*y)*(y - 6*y + 3*y) - 4*y**2 + 4*y**2 - y**2 - 2*y + 2*y**2 + 2*y - 28*y + 28*y + 23*y**2)*(29*y - 5*y**2 - 29*y). -130*y**4 Expand (92 - 39*i - 92)*(-2*i + 2*i - i**2 + (-1 - 2*i + 1)*(0*i + i + i) - i**2 + i**2 - 2*i**2 - 3 - i**2 + 3). 312*i**3 Expand (1 + 2*w - 1)*(-2 + 7 + 3)*(0 + 8 + 6). 224*w Expand 3*j**2 + 4*j**2 - 18*j**2 + (3*j - j - j)*(j + 2*j - 4*j) - j - 2*j**2 + j. -14*j**2 Expand (5*g - 5*g + 23*g)*(3 - 5 + 4) + 1 - g - 1 + (-6 + 11 - 7)*(-g + 3*g - g). 43*g Expand (-4*r - 4 + 11 + 2*r)*(-3 + 3 - 5)*(-4*r + r**2 + 4*r). 10*r**3 - 35*r**2 Expand ((4 - 1 - 5)*(-8*a - a + 4*a) - 2*a + 3*a + 0*a)*(-2*a**4 + 4*a**4 + a**4). 33*a**5 Expand (576 + 598 - 1317)*(0 + 2*y + 0)*(-3 - 3 + 5). 286*y Expand (-1 - 4 + 4)*(-2*o + 3*o - 2*o) + 3*o + 3 - 3 + (-6 + 1 + 4)*(5*o + 3*o - 2*o). -2*o Expand 7560 + 430*t**2 - 7560 + (-2*t + 2*t - 2*t)*(2 - 2 + 2*t) + 0*t**2 - 3*t**2 + t**2 + (0 - 2*t + 0)*(t + t - t). 422*t**2 Expand (40*v + 7*v**2 - 40*v)*((-v - v + 3*v)*(-2*v - v + v) + 2*v - 2*v + v**2)*(-2 - 3 + 2) + (3 - 3 + 2*v)*(2*v**3 + 1 - 1) + v + v**4 - v. 26*v**4 Expand (-26*d**4 - 25*d**4 + d + 1 + 54*d**4)*(-4*d - 2*d + 0*d + 0*d + 0*d - 2*d + 2*d - 4*d + d + (3 - 3 + 2)*(4*d - 3*d - 2*d)). -33*d**5 - 11*d**2 - 11*d Expand (4 - 1 - 1)*(6*l + l + 7*l) + (4 - 5 + 3)*(2*l + 3*l - 4*l). 30*l Expand -8*u**3 + 10*u**3 - 4*u**3 + (2 - 10 + 1)*(0*u**3 - 2*u**3 + 0*u**3). 12*u**3 Expand (-24*t**2 - 107*t**2 + 26*t**2)*(1 - 1 - t**3). 105*t**5 Expand (-40*k**2 + 4*k**2 - 10*k**2)*(-k**2 + k**2 + k**2). -46*k**4 Expand -6*f**5 - 2*f**5 + 2*f**5 + (56*f - 4*f**4 - 56*f)*(-1 - 1 + 0)*(4 - 4 - 3*f). -30*f**5 Expand ((1 - 2 - 1)*(12 - 28 +
{ "pile_set_name": "DM Mathematics" }
scending order. -6, r, 2, 14 Let v = -18 + 27. Suppose -2*i - 3*k - v - 1 = 0, 0 = -3*k. Suppose 2 = 2*h - 0. Put h, 3, i in descending order. 3, h, i Suppose -4*b - 3 = 5. Let a = 8.17 + -0.17. Let q = a - 7. Sort q, b, 2/3. b, 2/3, q Let m = -611.4 + 611.4. Let a be ((-6)/14)/(3/(-2)). Sort a, 0.3, m, 3 in increasing order. m, a, 0.3, 3 Suppose 0*l + 3*m - 15 = 3*l, 5*l = -2*m + 10. Suppose 12 = -5*h - 18. Sort -9, l, h in decreasing order. l, h, -9 Let b = 36 - 34. Suppose -2*o + b = -8. Put 4, -5, o in ascending order. -5, 4, o Suppose 43 - 85 = -7*n. Suppose 2*l = n*l + 8. Put -1, l, 2, -5 in decreasing order. 2, -1, l, -5 Let f = -2419 - -2418. Sort -2/11, f, 1/2, -3. -3, f, -2/11, 1/2 Let o be -2 + (-5)/(70/32). Let g(j) = -j**2 + 13. Let k be g(-3). Let y = k + o. Sort y, 5, 1. y, 1, 5 Let x = -491 + 490. Sort x, -2/3, -0.8, -1/3 in descending order. -1/3, -2/3, -0.8, x Let d = -1 + 0. Suppose 2*j = 5*j + 9. Suppose -2*a = 3*i, 0*a - 5*a = 15. Put j, i, d in descending order. i, d, j Let x(h) = h - 1. Let i be x(0). Let m = -46 + 51. Suppose -s = -4*z + 18 - 3, 3*z = m*s - 10. Sort 1, s, i in descending order. s, 1, i Let y = 80.94 - 81. Sort 2/13, y, -5. -5, y, 2/13 Suppose 7 - 15 = -s. Let r be s*(-1)/(-2) - 5. Sort -4, r, 0, 2 in ascending order. -4, r, 0, 2 Suppose 61 + 53 = -4*b + 2*a, -27 = 2*b + 5*a. Let j = 30 + b. Let n be 2/(-4)*0/(-2). Put n, 3, j in decreasing order. j, 3, n Let n be 2 - 2/((-32)/(-24)). Suppose 0 = 5*a + 3 + 2. Let q = 1.1 + -0.1. Sort n, q, a in descending order. q, n, a Let k(c) = -c + 4. Suppose -x = 5*y + 2 - 0, 0 = -3*y - 3. Let s be k(x). Let j = -785 - -779. Put j, s, 4 in decreasing order. 4, s, j Let a(r) = 75*r + 975. Let q be a(-13). Sort 0.2, 2, -1.6, q. -1.6, q, 0.2, 2 Let b(z) = 2*z**3 + 8*z**2 + 3*z - 6. Let r be b(-3). Sort -3, 38, r, -5. -5, -3, r, 38 Suppose -3*i - 16 = -4, 2*t - 4*i = 30. Suppose -2*r - 2*r + 11 = 3*q, -3*r - 3*q = -12. Let m be (0 + r)/(3/15). Put m, t, 4 in decreasing order. t, 4, m Let y be ((-2)/3)/(170/51). Let b = -6 + 3. Let w be 240/(-18) + (-1)/b. Put w, y, -3 in decreasing order. y, -3, w Let z(c) = 32*c + 192. Let g(n) = -11*n - 64. Let a(i) = -14*g(i) - 5*z(i). Let u be a(-10). Sort 13, 5, u in decreasing order. 13, 5, u Let t(s) = -s**3 - 6*s**2 + s + 4. Let w be t(-6). Sort 26, w, -5 in ascending order. -5, w, 26 Let v = -81 - -971/12. Let d = v + 1/3. Sort 3, 2/5, d. d, 2/5, 3 Let h = -1275.8 + 1276. Sort -1/3, h, -5/21 in descending order. h, -5/21, -1/3 Suppose -9*g + 10 + 8 = 0. Put -14, g, 5, -8 in decreasing order. 5, g, -8, -14 Let v(j) be the third derivative of -j**4/24 - 7*j**3/3 - 19*j**2. Let u be v(-6). Sort -0.2, 5, u in decreasing order. 5, -0.2, u Let j = 68 + -65. Sort 4, j, -4, 1 in descending order. 4, j, 1, -4 Let a = 1/396 + 263/396. Let s = -4.98 + -0.02. Sort a, s, -4/5, -2 in increasing order. s, -2, -4/5, a Let s be (3 + -3 - 4)*-1. Let c = 70 + -48. Sort 1, s, -4, c in descending order. c, s, 1, -4 Suppose -8*w + 12*w = -36. Let b = 18 - 11. Let y = b + w. Sort 2/7, 6, y in descending order. 6, 2/7, y Let k = -536.938 + 537. Sort -5, -1, 0.4, k in decreasing order. 0.4, k, -1, -5 Let b be (-30)/(-9)*(-66)/(-55). Let r(n) = n**3 + 5*n**2 - n + 1. Let i be r(-5). Suppose -i = -2*s + 5*s. Sort -3, b, s in descending order. b, s, -3 Let z be 6*(-1)/4*8/14. Put -0.5, -0.16, z, 4 in descending order. 4, -0.16, -0.5, z Suppose 3*q = -5*u + 70, -12 = 2*q - 3*q + 4*u. Let i = q + -23. Sort 5, -4, 2, i in increasing order. -4, i, 2, 5 Let m be (-23)/5 - (-3 - 1). Sort m, -2, -1. -2, -1, m Let y be (-7)/(-4) - 1/1. Let x = -33715/4 + 8429. Put -0.6, y, x in increasing order. -0.6, x, y Let p(v) = v**3 - v + 2. Let t be p(0). Suppose -2*i + 4*j = -10, -77*j + 73*j + 15 = 3*i. Sort i, -3, 3, t. -3, t, 3, i Let n be 6 - (-8)/(-4)*2. Let v(g) = -g**3 + 13*g**2 + 2*g - 16. Let d be v(13). Sort n, -5, d in decreasing order. d, n, -5 Let g be (-15)/(-2)*((-52)/(-20) - 1). Let d = -9 - -3. Let y be (-18)/4 - d/g. Put -2, y, 2 in increasing order. y, -2, 2 Let y(g) = g**2 + 12*g - 2. Suppose 36 = -4*z + z - m, -5*z = m + 60. Let j be y(z). Put j, -4, 2 in decreasing order. 2, j, -4 Suppose -2*w + 5*x = 3 + 20, 5*x - 27 = -2*w. Sort -3, 2, w, 0 in ascending order. -3, 0, w, 2 Let h = -159/4 - -40. Let y = 12 + -7. Let t = y - 6. Sort h, t, -5. -5, t, h Let q = -14 - -9. Let z = 91.9 + -99. Let i = z + 7. Put q, i, 1/6 in descending order. 1/6, i, q Suppose -t + 0 = -3. Let h = -2.053 + 2.253. Sort t, h, -4 in decreasing order. t, h, -4 Let m(w) = w**3 - w**2 - 3*w + 1. Let c be m(3). Let g be -7 + c - ((-116)/(-9))/4. Sort 5, g, -29 in descending order. 5, g, -29 Let a(l) = l**3 + 10*l**2 + l + 14. Let o be a(-10). Let f be 6/(-4)*(-8)/(-12). Put o, f, 5 in increasing order. f, o, 5 Let m(p) = -2*p - 7. Let r be m(-5). Let q(j) = -j - 1. Let i be q(-1). Sort r, 10, i in descending order. 10, r, i Let f = -13 - -8. Let y = -5 - f. Suppose w - 3*z - 2 = -y*w, -5*w - z = -26. Sort -5, w, -4 in increasing order. -5, -4, w Let z = -57.2 - -60.2. Put -0.5, 2, z in increasing order. -0.5, 2, z Let v = 1 + 8. Let m = -13 + v. Suppose 6*x = 4*x + s + 12, 0 = -5*x - 2*s + 12. Sort x, m, 0 in ascending order. m, 0, x Let s(c) = 3*c**2 - 6*c**2 + 0*c**2 + 57 - 54 - 10*c. Let x be s(-4). Sort 10, -1, x. x, -1, 10 Suppose -g + 26 = -30. Suppose -81 + g = -5*d. Put 1, -3, d, 0 in decreasing order. d, 1, 0, -3 Let o = 321 + -321.4. Put -1/5, 1.18, 0, o in increasing order. o, -1/5, 0, 1.18 Let z = 0.45 + -0.05. Let m = -379 - -377. Sort z, 9, m in descending order. 9, z, m Suppose 0 = -91*c + 69*c + 44. Sort 3, c, 63, -3 in decreasing order. 63, 3, c, -3 Let a = 14 + -14.2. Let k be (8 - 14)/(6/(-4)). Suppose 0 = 3*g - k + 1. Sort a, g, -4/3. -4/3, a, g Suppose -2*z - 24 = 4*v, -9*v = -8*v - 4*z - 3. Put 0.5, 23, -3, v in ascending order. v, -3, 0.5, 23 Let k = 196 + -200. Put k, 59, -5 in ascending order. -5, k, 59 Suppose -7*u - 4*i = -4*u - 6, 0 = -4*i. Let k(s) = s**2 - 6*s + 3. Let y be k(6). Sort y, 5, u. u, y, 5 Suppose -3*m - 6 = 0, 2*k - 2*m - 79 = 31. Let s = -51 + k. Sort -2, -6, s in increasing order. -6, -2, s Let m = 140/1791 + -9865808/12537. Let u = 26399/35 + m. Let x = u - -32. Sort -3, x, 1/2 in descending order. 1/2, x, -3 Let x = -12473/42 + 297. Let r = 5/14 - x. Sort 3, -5, r in increasing order. -5, r, 3 Let i = -107 - -104. Let y(p) = p + 10. Let z be y(-7). Suppose 4*s = 3*u - 14, 5*u + 3*s = z + 1. Put i, u, -2 in decreasing order. u, -2, i Let j = -0.078 + 2.078. Let h = -123 - -110. Sort j, h, -1. h, -1, j Let m be ((-1)/(-2))/(11/4). Let i = 94 - 1408/15. Suppose 0*c + 15 = 3*c. Sort c, m, i in descending order. c, m, i Let v = 750 + -748. Sort v, -7, -3, 1 in increasing order. -7, -3, 1, v Let u = -1151 - -1146. Sort 4, -3, u, 24 in descending order. 24, 4, -3, u Let f = -14.1146 - -0.1146. Let l = 0.08 - -0.22. Put f, 0, l in ascending order. f, 0, l Let d = 3 - -2. Let q = 0 - -0.2. Let t = 534 - 533.6. Sort t, d, q. q, t, d Let v be 259/(-102) - (4 - 7). Let u = v - -2/51. Suppose 0 = 3*d + 4*g + 35 - 6, 5*d - 5 = 4*g. Sort d, -0.2, u. d, -0.2, u Let k = 0.3 - 0.1. Let v = -2.89 - 2.11. Sort v, k, -2/9. v, -2/9, k Suppose -2*k + 5 = 11. Put k, 5, -2, -4 in decreasing order. 5, -2, k, -4 Suppose -u = 4*k - 4, 2*k = 3*u - 7 - 5. Suppose -3*d + 0*m - m - 5 = k, 0 = -3*d - 2*m - 7. Let p be d + ((-16)/12)/(-4). Sort 3/7, 1, p in decreasing order. 1, 3/7, p Suppose -6*q = -7*q - 2*d + 5, 0 = 2*q - d + 5. Sort -3, 118, q. -3, q, 118 Let l = 0.1212 - 0.0212. Put 2, l, -5, -1 in decreasing order. 2, l, -1, -5 Let y = 1729 + -55329/32. Put y, 0.3, -1/7 in descending order. 0.3, y, -1/7 Suppose -20*f + 33*f = 26. Put f, 7, -1, -4 in ascending order. -4, -1, f, 7 Let i be 3/15 - 38/40. Let n be 36/(-10) + (-12)/(-20). Put i, -5, n in ascending order. -5, n, i Let t be ((-96)/(-72))/((-1)/(1*-3)). Let l be -4*((-10)/(-2) - t). Sort 3, 12, l in descending order. 12, 3, l Let y(z) = z**3 - 18*z**2 + 17*z + 3. Let k be y(17). Suppose 53 = -4*p - k*o + 9, -4 = -2*p + 5*o. Let q = -0.014 + 0.514. Put q, p, 0.2 in decreasing order. q, 0.2, p Let v = 1.86 + -1.96. Sort v, -0.5, -1, -2 in decreasing order. v, -0.5, -1, -2 Let k = 12.6 - -0.4. Let i
{ "pile_set_name": "DM Mathematics" }
? -426*z**2 What is the third derivative of 9*f**3*g**4 + f**3*g**3 + 3*f**3*g**2 - 10*f**3*g - 2*f**2*g + 5*g**5 wrt g? 216*f**3*g + 6*f**3 + 300*g**2 What is the derivative of -o*q**3 + 6*o*q + 13*q**3 - 7 wrt o? -q**3 + 6*q Differentiate 7*f**4 + f**2*r**3 + f - 179*r**3 with respect to f. 28*f**3 + 2*f*r**3 + 1 What is the second derivative of 10*a**2*o + 2*a**2 - 6*a*o + 3*a - 9*o wrt a? 20*o + 4 Differentiate -13*g*l**3 + 11*g*l**2 + 71*g - 7*l**4 - 14 with respect to l. -39*g*l**2 + 22*g*l - 28*l**3 What is the third derivative of -2*i**5 - 182*i**4 - 180*i**2? -120*i**2 - 4368*i Find the second derivative of 2*b**3*k - 3*b**3 - 10*b**2*k - b**2 - 2*b*k + 179 wrt b. 12*b*k - 18*b - 20*k - 2 What is the third derivative of 122*t**5 - 28*t**2 - 2*t wrt t? 7320*t**2 Find the third derivative of 50*k**5 + 97*k**3 - 2*k**2 + 435*k - 3 wrt k. 3000*k**2 + 582 What is the derivative of -6645*d - 11740 wrt d? -6645 What is the first derivative of -129*y**4 + 3*y - 213 wrt y? -516*y**3 + 3 Find the third derivative of c*f*h**2 - 2*c*h**3 - f*h**3 - f*h**2 + 18*f + 273*h**3 wrt h. -12*c - 6*f + 1638 What is the second derivative of -12*m**3 + 749*m**2 - 337*m - 1 wrt m? -72*m + 1498 What is the first derivative of -5092*l**2 - 3569? -10184*l Find the third derivative of 865*t**4 + 2*t**2 + 2304*t wrt t. 20760*t What is the third derivative of 3*c**4*n*p**2 + 4*c**3*n - 3*c**3*p**2 + 6*c**2 + c*n*p**2 + 5*c*n wrt c? 72*c*n*p**2 + 24*n - 18*p**2 What is the third derivative of -1434*g**6 + 461*g**2? -172080*g**3 What is the first derivative of -c*x**3 - 1286*c*x - 2981*c - 2*x wrt x? -3*c*x**2 - 1286*c - 2 Find the third derivative of 191*l**3 - 357*l**2 - l. 1146 Find the first derivative of -5*u**4 - 7*u**2 + 100 wrt u. -20*u**3 - 14*u Differentiate 2*k**3 + 162*k + 1293 with respect to k. 6*k**2 + 162 Find the third derivative of 2463*n**3 + 31*n**2 - 3*n wrt n. 14778 Find the second derivative of -3*y**3*z**3 + 8*y**3*z + 58*y**2*z**3 + 35*y*z + 3*z wrt z. -18*y**3*z + 348*y**2*z What is the first derivative of 13*q**2*x**2 + q**2*x*z - 90*x**3*z + x**3 + 24 wrt z? q**2*x - 90*x**3 Find the third derivative of -5*h**3*l**3*z**3 - 2*h**3*l*z + 7*h*l**2*z + 2*h*z**6 + 2*l**3*z**2 + 2*l**2*z**2 wrt z. -30*h**3*l**3 + 240*h*z**3 What is the third derivative of 21*p**4 - 141*p**3 + 2*p**2 + 1768*p? 504*p - 846 What is the first derivative of p**2 - 2791*p - 11286? 2*p - 2791 Differentiate f**2*i**2*o + 8*f**2*i**2 - f**2*i + 290*f*i**2*o - 47*i**2 with respect to o. f**2*i**2 + 290*f*i**2 What is the first derivative of d**4 + 861*d**2 + 1310 wrt d? 4*d**3 + 1722*d Find the third derivative of -690*p**3*y**2 - 4*p**3*y - 5*p**2*y**2 - 22*p*y**2 - y**2 wrt p. -4140*y**2 - 24*y Find the third derivative of -g**6 + 26*g**5 + 71*g**4 + 33*g**2 + g + 12 wrt g. -120*g**3 + 1560*g**2 + 1704*g What is the derivative of 35*o**2*t**3 - 40*o**2*t + 19*t**3 + 23*t**2 wrt o? 70*o*t**3 - 80*o*t Differentiate -117*c**2*w**2 + c**2*w + c**2 - 2*c*o*w + 297*o with respect to w. -234*c**2*w + c**2 - 2*c*o What is the third derivative of -199*f*x**3 + 6*f*x**2 - f*x + 11*f wrt x? -1194*f Find the second derivative of 23*s**4 + 16*s**2 + 174*s + 2 wrt s. 276*s**2 + 32 Find the third derivative of 519*l**3*q**3 + l**3*q**2 - 10*l**3*q - 8 wrt q. 3114*l**3 Find the second derivative of -7*t**3*z**2 - 2*t**3*z - t**2*z**2 - 2*t*z**2 + t + 295 wrt t. -42*t*z**2 - 12*t*z - 2*z**2 Differentiate -65*u**2 + 5*u - 3497. -130*u + 5 What is the third derivative of 28*a**2*i**3*q**3 - a**2*i**3*q**2 + 12*a**2*q**3 - 2*a*i**3*q**2 - 90*i**3*q**2 wrt q? 168*a**2*i**3 + 72*a**2 Find the third derivative of -139*i**2*y**3 - 34*i**2*y**2 + 3*i**2*y - 2*i*y**6 - i*y**2 wrt y. -834*i**2 - 240*i*y**3 Differentiate -5*d**3*p**2 - 5*d**3 + 45*d*p**4 - 208 wrt p. -10*d**3*p + 180*d*p**3 Find the first derivative of 3601*c**4 + 3011. 14404*c**3 Find the second derivative of -10*n**2*q*z**2 + 2*n**2*q - 2*n*q*z**2 + 3*n*q + n*z - 2*q*z**2 wrt n. -20*q*z**2 + 4*q What is the second derivative of c**3*d + 2*c**3 - 38*c**2 + 30*c*d + 4*d wrt c? 6*c*d + 12*c - 76 What is the first derivative of -h*n**2 - 9*h*n*x - 2*h*x - 18*h - 65*n**2 - 12*n*x wrt h? -n**2 - 9*n*x - 2*x - 18 Find the second derivative of 55*w**4 + 10*w**3 - 17*w + 21. 660*w**2 + 60*w What is the first derivative of 3*p**2 - 120*p + 132? 6*p - 120 Find the third derivative of o**4 - 480*o**3 - 535*o**2. 24*o - 2880 Find the third derivative of 31*a*i**4 - 19*a*i**3 - 13791*a*i**2 wrt i. 744*a*i - 114*a Find the third derivative of -h*v**3*x + 2*h*v**3 - 6*h*v**2*x - 8*h*v**2 - 2*h - 3861*v**4*x - 3*v**2 + 4*v*x wrt v. -6*h*x + 12*h - 92664*v*x Find the third derivative of 617*o**5 + 2*o**4 + o**3 + 23506*o**2. 37020*o**2 + 48*o + 6 What is the second derivative of 5*i**2*o**2*w + 349*i**2*w - 32*i*o**2 - 2*o**2*w + 5*w wrt i? 10*o**2*w + 698*w What is the second derivative of 110*u**4 - 2*u**2 - 6*u - 43? 1320*u**2 - 4 Find the first derivative of 344*m - 16. 344 What is the first derivative of -23*r**2*t*v + 2*r**2*t + 4*r**2*v - 35*r**2 - r*t*v + r*t wrt v? -23*r**2*t + 4*r**2 - r*t What is the second derivative of -838*k**2*s - 1804*k*s wrt k? -1676*s Find the third derivative of 6286*s**5 - 2*s**3 - 11*s**2 + 2*s + 63. 377160*s**2 - 12 What is the first derivative of -450*u**3 + 16*u - 12818 wrt u? -1350*u**2 + 16 Find the second derivative of 3*a**3*m**2 - a**3 - 134*a*m**2 - 27*a*m + 2 wrt m. 6*a**3 - 268*a What is the first derivative of -63*m**2*o - 17*m**2 + m wrt o? -63*m**2 What is the derivative of -33*m**3 - 255*m**2*w*z + m*z - 6*w + z + 814 wrt m? -99*m**2 - 510*m*w*z + z What is the third derivative of -1274*x**4 + x**2 - 12*x + 28? -30576*x Find the second derivative of -85*s**5 - 2*s**3 - 80*s. -1700*s**3 - 12*s Find the third derivative of -298*h**3*o + 26*h**2*o + 6*h**2 - 2*o wrt h. -1788*o Find the third derivative of -5*f**2*m**4 - 25*f**2*m**3 - 6*f**2*m + f*m**2 - 2*m wrt m. -120*f**2*m - 150*f**2 What is the third derivative of -1704*f**3 + 405*f**2 wrt f? -10224 Differentiate 13*j**2*u**3 + 578*j**2*u + 5205*u**3 wrt j. 26*j*u**3 + 1156*j*u What is the third derivative of -10690*c**4 + 2*c**3 - 3*c**2 - 786*c? -256560*c + 12 Differentiate 2*h*o*w - 332*h*w + 6*o - w with respect to h. 2*o*w - 332*w What is the second derivative of m*o**3 + 26*m + 22*o**4 + 4*o**3 - 6*o wrt o? 6*m*o + 264*o**2 + 24*o Find the second derivative of 9945*a**2 - 14620*a. 19890 Find the first derivative of 3*z**2 - 846*z - 3775. 6*z - 846 What is the third derivative of -555*a**3*b*z**3 + 3*a**3*b*z - 63*a**2*b*z**3 + 3*a**2*b*z + 3*a*b*z**3 + 2*a*z**3 - 2*b*z**2 wrt a? -3330*b*z**3 + 18*b*z What is the second derivative of 4*a*n**3 + a*n**2 + 32*a*n + 117*n**3 + 15 wrt n? 24*a*n + 2*a + 702*n Find the second derivative of 357*j**5 + 58*j. 7140*j**3 What is the third derivative of -13*b**2*f**4 - 64*b**2*f + 38*f**4 - 2*f**2 wrt f? -312*b**2*f + 912*f What is the third derivative of -9380*y**6 - 2*y**3 - 1270*y**2 + y? -1125600*y**3 - 12 What is the second derivative of -3*n*t*w**3 + 4*n*t*w**2 - n*t*w + 2*n*w**2 - t*w + 3*w**3 - 2*w wrt w? -18*n*t*w + 8*n*t + 4*n + 18*w What is the second derivative of 19*p*r**4 - 91*p*r**2 - 1591*p*r - 3*p wrt r? 228*p*r**2 - 182*p Find the third derivative of 6*j**2*p**2*v**3*y + 3*j**2*p*v*y + 7*j**2*v**2 - 17*j*p**2*v**3*y - 6*j*p**2*v**2*y wrt v. 36*j**2*p**2*y - 102*j*p**2*y Differentiate -14*j**3*t - 4*j**2 + 5*j*t + 10925*t with respect to j. -42*j**2*t - 8*j + 5*t Find the second derivative of -5*h**3*l + 2349*h**2*l - 12893*h*l wrt h. -30*h*l + 4698*l What is the derivative of -5*w**3 - 5*w - 18? -15*w**2 - 5 Find the second derivative of -1126*c**2*h**3 - 3*c**2*h + 24*c*h**3 - 102 wrt c. -2252*h**3 - 6*h What is the third derivative of 959*h**3 + 2240*h**2? 5754 What is the third derivative of 552*l**3 + 418*l**2 wrt l? 3312 What is the second derivative of 1823*w**3 + w**2 + 4339*w? 10938*w + 2 What is the second derivative of -722*f**4 - 36*f + 1 wrt f? -8664*f**2 What is the first derivative of -128*q - 71 wrt q? -128 What is the derivative of -a*w + 346*a - 190*w**2 wrt w? -a - 380*w Find the third derivative of -51*c*m**6 - 9*c*m**5 + 3*c*m - 6*m**2 - 103*m wrt m. -6120*
{ "pile_set_name": "DM Mathematics" }
+ -15. Solve -7 = 4*a + 5*y, -21 = -0*a - t*a + 5*y for a. 2 Let j = -3 - -5. Let p = 2 - -1. Let s = 2 - 2. Solve -3*u - 2*u + 5*b + 20 = s, -p*u + j = -b for u. -1 Let k(p) = -p**3 - 5*p**2 + 10*p + 2. Let a be k(-7). Suppose -5*v + a = 3*q, q - 5 = -0*q. Solve -3*y + 5*y - 3 = v*z, 11 = 3*y + 2*z for y. 3 Suppose -13 + 3 = -5*i. Suppose -d = 4*d + 30. Let j = 10 + d. Solve -j = z, -z - 2 = 5*m + i for m. 0 Let f(p) be the second derivative of -p**5/20 + p**3/6 + 5*p**2/2 + 4*p. Let u be f(0). Solve -k + 6 = -u*r - 5, 0 = -3*k + 4*r for k. -4 Suppose 0 = -18*p + 13*p. Solve 0 = 4*j - 5*h - 22, p = -h - 1 - 1 for j. 3 Let s be 2 - (6 + 3 - 2). Let p be 0 - s - 0/6. Solve -5*t + 18 = 2*d, p*t - 3*d - 13 - 10 = 0 for t. 4 Let h be 3/(0 - -6 - 3). Let t = -1 + h. Solve y + 0*f + 2*f - 7 = t, 3*y + 4*f = 13 for y. -1 Let r = 22 + -20. Suppose 0 = 2*k - 3*k. Solve k = -3*j - 2*z, -r = -j + 5*j + 2*z for j. -2 Let f(j) be the second derivative of 1/12*j**4 + 2*j**2 + 5/6*j**3 + 0 - 4*j. Let i be f(-5). Solve -q - 5*n = 24, -4 = -2*q + 4*n + i for q. -4 Let x be (19 - 1)*(-6)/(-18). Let h(a) = a + 3 - 3 - 4. Let y be h(x). Solve y*s + 5*z = 27, 2*z - 2 = 4*s + 4 for s. 1 Suppose 3 = -v + 10. Let n = -3 + v. Solve -9 = 4*t - t - n*l, 0 = 3*t + 4*l - 15 for t. 1 Suppose 4*s - 9 - 11 = 0. Solve 0 = 4*i - 3*p - 4 + 19, -25 = -i - s*p for i. 0 Suppose 5*h - 26 = -o, 16 = 2*h + h + o. Let l be 0 + 4 + 24/4. Solve -h*v + 0*v - y - 2 = 0, 2*v + 5*y = -l for v. 0 Let d be (30/(-12))/((-1)/2). Solve -2*z - 18 = -3*g, 5*z - 2*g = -18 - d for z. -3 Let c(y) = 2*y + 3. Let s be c(3). Suppose -13*d + 20 = -s*d. Solve 0 = -2*n + 3*g + 25, -d*n + 4 + 16 = g for n. 5 Let w(a) = 3*a**3 + a**2. Let o be w(1). Suppose o*m + 2 = 14. Suppose -22*c + 17*c = -30. Solve c*j + u - 5 = 2*j, 4*j = m*u + 17 for j. 2 Let p = -5 + 8. Suppose -2*l = -33 + p. Suppose 0 = -5*y - 2*n + 3*n + l, -2*y - 4*n = -28. Solve 5*o - 4*o = y, -q + o = 3 for q. 1 Let k(m) = m**2 - 11*m + 3. Let l be k(11). Solve r + l*a + 3 = -3*r, r - 2*a - 2 = 0 for r. 0 Let w(o) = 2*o - 2. Suppose k = 4*k - 6. Let p be w(k). Suppose b + p*r = 26, -5*b - r + 3*r + 130 = 0. Solve 6*g = g - 4*d + b, 2*g + 5*d = 24 for g. 2 Suppose -4*v + 8*v = -12. Let y be -78*v/18*2. Solve w + 5*c = -w + 16, 5*c - y = 3*w for w. -2 Let s be 26/8 - 2/8. Let y(z) = z**2 + 2*z + 3. Let l be y(-2). Suppose -1 = -l*g + 11. Solve g*t + 5 + s = 3*u, 0 = 2*u - 2*t - 6 for u. 4 Let k be (1 - 1) + (-4)/(-1). Suppose 2 = 5*i - b - 6, 6 = k*i - b. Solve h + 2*s - 8 = 0, -3*h = i*h + s - 22 for h. 4 Let z(v) = -v - 8. Let m be z(-10). Suppose -m*r = -0*r - 8. Suppose 25 = r*u + 9. Solve 0 = 4*i + 2*x - 14, -u*i = 4*x + 7 - 15 for i. 5 Suppose -11 - 9 = -4*l. Let p be (2/(-4))/((-2)/12). Suppose -2*w + 18 = w. Solve 3*o - n + p + 5 = 0, -l*o - 2*n = w for o. -2 Suppose 4*t - 25 = -t. Let w = -6 - -6. Suppose w = -x - 2, k = -4*k + 5*x + 15. Solve 5*a + t*o - 11 = 2*o, 0 = -3*a + o + k for a. 1 Suppose 3 = t - 0*q + q, 3*t + q = 13. Solve -5 = 5*x + t*a, -5*x - 4*a - 17 = -2*a for x. -5 Suppose -3*w = 3*s - 6, 3*s - 3 - 5 = -4*w. Let f(h) be the second derivative of -7*h**3/6 - h**2 + h. Let r be f(-4). Solve -w*b + 15 = b, -r = -c - 5*b for c. 1 Let l = 2 - -1. Suppose -3*o = 3*m - 3, 3*o + l*m = 4*o - 5. Solve -t + 2*f - 1 = 0, -o*t + 2*f = -3*t - 9 for t. -5 Suppose 1 = -3*g + 4*s - 3, 0 = s - 4. Suppose 4*r + 0 + 2 = 2*p, -g*r + 7 = -p. Suppose 0 = 2*a - 5*a + 27. Solve 0 = 5*t + y + y + a, -p = -3*y for t. -3 Let v = -12 + 3. Let y = -6 - v. Let k be ((-1)/(-2))/((-1)/(-6)). Solve y = k*q - 3*p, 0 = -5*q - p + 6 + 5 for q. 2 Suppose -4*g + i + 15 = -10, 3*i + 19 = 4*g. Solve k = -2*d + g, -2*k + 5 = -7*k for d. 4 Let q(x) = x**2 - 2*x - 6. Let l be q(5). Solve -4*s + 7*s + l = 3*a, 0 = 5*s + a - 15 for s. 2 Let m = 17 + -11. Let c = m + -4. Let z = c + 4. Solve 0 = -2*w - 3*s + z, 0*w - s - 12 = -4*w for w. 3 Let c(x) = -2*x**2 + 16*x + 20. Let s be c(9). Solve 3 = k, 5 = 2*i - k + s*k for i. 1 Let t be (2 - 15/6)*-68. Suppose 3*z - s - 4 = 0, z - 4*z + t = 5*s. Solve z = 2*w + a, -w - 4*w - a = -9 for w. 2 Suppose -3*n = 3*d - 0*d + 48, -4*n - 2*d - 54 = 0. Let z = -7 - n. Suppose 3*p = 3*r, 4*r - 5*p - 2 + z = 0. Solve 3*u + 11 = 5*b, -2*u - r*b = -u for u. -2 Let o(i) be the second derivative of -i**4/12 - 7*i**3/6 - 3*i**2 - i. Let m be o(-5). Solve -4*c - 8 + 28 = -p, 4*p = -m*c for c. 4 Suppose 6*d + 19 = 37. Solve -4*n + 0*n - 15 = -d*l, l - 4 = n for l. 1 Suppose 5*l = 13 + 12. Solve -15 = l*y, -4*o - y - 4 = 3 for o. -1 Suppose 4*b - 28 = -4*f, 3*f + f - 13 = -b. Let z(u) = 3*u - 5. Let c be z(b). Solve 3*o + 3*k + 35 = 7*k, o - c = -3*k for o. -5 Let v(l) = -l**3 - 10*l**2 - 10*l - 7. Let u be v(-9). Solve u*g = -n - 14, -2*g + 2*n + 10 = -3*n for g. -5 Suppose -a = -0*a + 2*m + 2, 0 = 5*a + 5*m. Suppose c = -3*c + 5*j + 35, -3*j + 1 = a*c. Solve 3 = -5*h + 3*q - 1, -5*h - 10 = -c*q for h. 1 Let b = 33 - 29. Solve -5*h = -5*c + 20, b*c + 20 = -4*h - h for h. -4 Suppose -2*t - 4*d + 4 = 14, 2*t - 11 = 3*d. Solve -n = -4, -2*y - t + 3 = -n for y. 3 Suppose 0 = -5*y + 5, 4*t = 3*t + 4*y - 1. Solve -w + 3*d = -17, 3*w - 2*d - t*d = 35 for w. 5 Suppose -2*h + 4 = -4*r, 5*h - 5 = -3*r + 5. Suppose -h*b + 2 = -b. Suppose b*t - 2 = 4. Solve i - 9 = -5*n + 3*i, t*i = n + 6 for n. 3 Let m = -12 - -27. Solve -3*k = q - 2*q + m, -2*q + 2 = k for q. 3 Let q = -1 + -1. Let f = 0 - q. Solve -j - f*j = -d - 19, 3 = -2*d - j for d. -4 Let r = 74 + -49. Let s(n) = -n**3 - 4*n**2 + 5*n - 6. Let b be s(-5). Let h = b - -11. Solve -h*u = -5*p + r, -4*p + 5*u + 27 - 5 = 0 for p. 3 Suppose -2*x + 22 = 2*z, 5*z = -4*x - 25 + 74. Let m = -4 + x. Solve 2*r = 2*c, -2*r - m = -3*c - 6 for r. -4 Suppose 3*w - 30 = 3*y, -w + 2*w - 2*y = 15. Suppose 3*m = -1 + 10. Suppose -5*s = -m*s - 6. Solve 4*z + f = w*f + 8, 5*f = -s*z + 22 for z. 4 Let u = -11 - -7. Let c be u/((-12)/39) + 2. Solve f = 2*z - 6 + 1, -5*f = -c for z. 4 Suppose -3*j + 5*u + 27 = 0, 31 = 4*j - 2*u - 3*u. Let q be (3/2)/((-4)/(-32)). Solve 0 = 3*b + j*l + 4, 3*b - q = 5*b + 5*l for b. 4 Let l be -4 - 0 - 10/(-5). Let f be 6/l*(-40)/30. Solve f*i + 0*i + 10 = 5*q, i = -5 for q. -2 Suppose 0 = 3*f - 3*s - 27, 0 = s - 3*s - 10. Let v be 18/f - (-10)/(-20). Solve v*m - 29 = 5*t, -4*m - 2*t = m + 5 for m. 1 Suppose 6 = 5*l - 2*s, -l + 3 = -4*s + 3*s. Let c(w) = 4*w - w**2 + 0 - 3 + 10. Let n be c(5). Solve 4*h - a - 19 = l, -n*h + 2*a = -4*h + 12 for h. 5 Let b be ((-1)/2)/(3/(-30)). Suppose -3 = m, 1 = 4*n + b*m + 4. Solve 2*o = 4*s - n*o - 16, 2*s = -4*o + 8 for s. 4 Let j(n) = -n**3 + 7*n**2 + n - 3. Let l be j(7). Solve m + z = -3, -2*m - l*z - 20 = -8 for m. 0 Suppose 21 = 5*t + 4*r, 0 = 3*t - 4*r + 3 - 22. Suppose -t*m - 3*v = -12, -2*m + 3*m - 12 = -3*v. Solve 3*o - 5*u = -m*o + 31, -o - 23 = 5*u for o. 2 Let d be 2/(-8) - (-27)/12. Suppose 8 = -3*s + 2. Let w = s + d. Solve v + 2 = w, v + 12 + 0 = -2*u for u. -5 Suppose 16 = 5*a + 6. Let t be a/(0 + 2) - 0. Solve 2*m - 2*c + 3*c - 7 = 0, 2*c = m - t for m. 3 Suppose g + 0*g = -5*c + 112, c + 4*g - 11 = 0. Let y = -21 + c. Solve -y*a - 16 = 4*f, -2*f + 4*a + 1 = -1 for f. -3 Let p = 6 + 0. Suppose 2*w + 20 = p*w. Solve o - 2 = -h - 4, 0 = w*h + o + 14 for h. -3 Let i = -1 - -7. Suppose -3*l - i = -3*f, -4*f + f - 3*l = -36. Let q = -2 + f. Solve q*j = 4*p - 11, 3*p + 0*j = -2*j - 9 for p. -1 Suppose 0 = -4*w, -3*t + 4*w + 25 = 2*t. Solve 18 = 5*n + h - 0*h, 0 = -2*n + t*h + 18 for n. 4 Suppose 2*t - 20 = -3*t. Suppose t*r = -3*i + 93, 2*r - 6*r - 2*i = -94. Suppose 2*v + v - 9 = 0. Solve 19 = 3*a + 4*k, 5*a - v*k - r = -2*k for a. 5 Let v = 11 - 0. Let d = -285 + 285. Solve 5*x - 2*i + 27 = d, 3*x - 2*i + 6*i + v = 0 for x. -5 Let b = -7 - -10. Let l(z) = z**2 - 13*z - 10. Let o be l(14). Suppose -o*k + 3 = -3*k. Solve k*v - 3 = -3*i, -v + b = -i - 0 for i. -1 Suppose 4*t = -n - 7, 2*n + 2*t = -3*t - 8. Let r be 21*n + (4 - 5). Suppose -r = -3*i - 5. Solve 5*z = 2*q + 17, q - 2*z + 1 = -i for q. 4 Let l = 0 + 0. Suppose -15 = -3*z - l*z. Let d = -1 - -3. Solve -z*q + d = -4*t + 1, -4*t = -4 for q. 1 Let c = 8 + -5. Let o = 3 + c. Suppose -o*q = -4*q - 24. Solve 5*n + q + 4 = -2*f, 2*n = -4*f for f. 2 Let n(v) = 2*v**2 - 6*v + 4. L
{ "pile_set_name": "DM Mathematics" }
344*sqrt(3) + 10548 Simplify 5*(sqrt(931) + sqrt(931) + -1 + sqrt(931) - sqrt(931)) + (sqrt(19) - sqrt(76)/sqrt(4)) + -2 + (sqrt(19) - (sqrt(19) - (sqrt(19)*1 + -4))). -11 + 71*sqrt(19) Simplify sqrt(68)*2 + 5 + (1 + sqrt(68) + 0 + sqrt(68) + sqrt(68))**2 - (4 + 4 + sqrt(68)*3). 10*sqrt(17) + 610 Simplify (-6*2*sqrt(1100)*1)**2 + sqrt(11) + sqrt(11) + (sqrt(99)*-1)/sqrt(9) + 1 + 3. sqrt(11) + 158404 Simplify -1*((3*sqrt(171) + 1 - (sqrt(171) + 1*(sqrt(171) + -3)))**2 + -2). -185 - 24*sqrt(19) Simplify (4*(sqrt(4752) - (1*sqrt(4752) + sqrt(4752))))/((sqrt(3)*-2 - sqrt(3))*1 + sqrt(60)/sqrt(5)). 48*sqrt(11) Simplify (-6*((sqrt(875) - sqrt(35))*6)/sqrt(7)*4 + -4)**2. 4608*sqrt(5) + 1658896 Simplify (sqrt(45)/sqrt(5)*2)/sqrt(3) + (sqrt(108)/sqrt(4) - sqrt(24)/(sqrt(8) - (-1*sqrt(8) - sqrt(8))))**2. 2*sqrt(3) + 64/3 Simplify sqrt(80) + sqrt(80) + (2 + sqrt(80) + -1)**2 + (5 + -5*sqrt(80) + sqrt(80))**2. -144*sqrt(5) + 1386 Simplify (sqrt(525)*-4)/(sqrt(18)/sqrt(6)*-3). 20*sqrt(7)/3 Simplify (sqrt(85) + 3*(sqrt(85) - -2*sqrt(85)) - (-4*sqrt(85)*1 + sqrt(85) - sqrt(85)))/((sqrt(70)/sqrt(7))/sqrt(2)*-2). -7*sqrt(17) Simplify ((5 + 6*4*(sqrt(272) + -1 + -1))*4)**2. -132096*sqrt(17) + 2536336 Simplify 2*(4 + sqrt(475) + 0 + 1 + -4)*-4. -40*sqrt(19) - 8 Simplify (-1*sqrt(195)/(5*sqrt(5)))/(sqrt(12)/sqrt(4)*-1*-6). -sqrt(13)/30 Simplify 3 + (-1 + sqrt(13) + ((sqrt(143) + (-2*sqrt(143) - sqrt(143) - sqrt(143)))/sqrt(11))**2)*-2. -229 - 2*sqrt(13) Simplify ((sqrt(3888) + sqrt(3888) + (sqrt(3888) - (sqrt(3888) - (-3 + sqrt(3888)*3 + sqrt(3888) + sqrt(3888)))) - sqrt(3888)) + 0 + -2)**2. -2160*sqrt(3) + 139993 Simplify (sqrt(50) - sqrt(600)/sqrt(300))/sqrt(10) + (sqrt(10)/sqrt(2)*3 - (sqrt(150)/sqrt(3))/sqrt(10)). 14*sqrt(5)/5 Simplify (sqrt(288))**2 + -1 - ((-1*sqrt(2)*-6)**2 + -2). 217 Simplify ((3*sqrt(84))/sqrt(2))/(sqrt(6) - ((sqrt(42) - sqrt(1512))/sqrt(7) + sqrt(6)))*-4 + -4. -12*sqrt(7)/5 - 4 Simplify ((sqrt(266)/(-1*sqrt(7)))/((sqrt(12)/sqrt(2))/sqrt(3)))**2. 19 Simplify 3*(sqrt(1584)*-1*4 - (2*sqrt(1584) + 4)). -216*sqrt(11) - 12 Simplify (-3*(sqrt(60) + sqrt(15)))/(4*sqrt(27)) + 1. -3*sqrt(5)/4 + 1 Simplify (6*(sqrt(132) - 1*sqrt(132)*-1))/((sqrt(96) - (sqrt(96)*-1 + sqrt(96)))/sqrt(8) + 6*(sqrt(12) - sqrt(108))). -12*sqrt(11)/11 Simplify (5*-1*(-2 + (2*sqrt(448) - sqrt(448)))*-1)**2. -800*sqrt(7) + 11300 Simplify (3*(sqrt(77) - 2*sqrt(77)*4))/(-6*sqrt(35)/sqrt(5)*5). 7*sqrt(11)/10 Simplify (((sqrt(105) - (-2*sqrt(105) + sqrt(105))*2)/sqrt(5))/(sqrt(112) - 2*-1*sqrt(112)))**2. 3/16 Simplify -1*sqrt(300) + -1 + sqrt(300) + (-4*(-3 + sqrt(300)) - sqrt(300)). -50*sqrt(3) + 11 Simplify ((sqrt(2057) + 1 + 1 - ((-1 + sqrt(2057))*2 + sqrt(2057) + sqrt(2057))) + 2 + 0)**2. -396*sqrt(17) + 18549 Simplify ((-1*sqrt(1008) - sqrt(1008))**2 + -3 + sqrt(1008) - (sqrt(1008) - (2 + -2 + sqrt(1008))**2)) + (-3*sqrt(1008) + -4 + sqrt(1008))*-4. 96*sqrt(7) + 5053 Simplify (5*((sqrt(2916) - (sqrt(2916)*-1 + sqrt(2916) + sqrt(2916))) + sqrt(2916) + sqrt(36))/(sqrt(108)*-1 - sqrt(12)))**2. 1875/4 Simplify 1*sqrt(637)*3 + -5 + -2 + sqrt(637). -7 + 28*sqrt(13) Simplify (2 + (sqrt(78)/(sqrt(12)/sqrt(6)))/(-5*sqrt(3)*2))**2. -2*sqrt(13)/5 + 413/100 Simplify 4 + (sqrt(171)/(sqrt(18)/sqrt(2)) - (5 + sqrt(57)/sqrt(3))**2) + (sqrt(57)/(-2*sqrt(3)) - (2 + sqrt(95)/sqrt(5)))**2. -3*sqrt(19) + 27/4 Simplify -2*(-2 + 1 + sqrt(98)*1 + -3 + -1). -14*sqrt(2) + 10 Simplify (sqrt(4860) - 2*sqrt(4860))/((sqrt(96)*-1 + sqrt(96) - sqrt(96))/sqrt(8)) + -4 + 4. 9*sqrt(5) Simplify 2 + (3 + 4*(4 + sqrt(2736)) + sqrt(2736))**2. 2280*sqrt(19) + 68763 Simplify (sqrt(475)*1 - sqrt(19) - (sqrt(38)/sqrt(2) + -3) - (-3 + sqrt(76) + 1 + sqrt(76) + 3))**2. -4*sqrt(19) + 23 Simplify (sqrt(112)*2 - -2*sqrt(112) - (5 + sqrt(343) + -2*sqrt(343)))**2. -230*sqrt(7) + 3728 Simplify (-1*sqrt(114)*-5 - (sqrt(114) + (sqrt(114) - sqrt(114)*1 - sqrt(114))*4))/(sqrt(72)/(sqrt(60)/(sqrt(25)/sqrt(5)))). 8*sqrt(19) Simplify (((sqrt(324) - (sqrt(324) + 1*sqrt(324) + sqrt(324)))/sqrt(12) - sqrt(27))/sqrt(9) + (sqrt(24)/sqrt(8)*-1 - sqrt(3))*-6)**2. 243 Simplify (sqrt(12) + sqrt(12) + sqrt(108) + 4 + (sqrt(12) - (sqrt(12) + (1 + sqrt(12) + sqrt(12))*-5)))**2 + -4 + sqrt(162)/(-2*sqrt(6)). 1077*sqrt(3)/2 + 2777 Simplify ((sqrt(800) + 1 + sqrt(800))*5)**2 + ((sqrt(128)/sqrt(4) + 5)*5)**2. 3000*sqrt(2) + 81450 Simplify 1 + (sqrt(320) + (-2 + sqrt(320))*-5 + (sqrt(320) + sqrt(320)*-1)*4)**2 + -2. -640*sqrt(5) + 5219 Simplify (4*(sqrt(21) + sqrt(1344)))/(-6*1*sqrt(3)). -6*sqrt(7) Simplify (5 + 0 + -6*-2*sqrt(637) + -3*(sqrt(637) - sqrt(637)*-2) + sqrt(637) + sqrt(637))**2. 350*sqrt(13) + 15950 Simplify -3 + (sqrt(2880) + -3)**2 + 5. -144*sqrt(5) + 2891 Simplify (3*sqrt(45)*3)/((sqrt(882) - sqrt(18))/sqrt(2))*-3. -9*sqrt(5)/2 Simplify ((sqrt(399)/(sqrt(28)/sqrt(4)) - sqrt(171)/(2*sqrt(3)))/(1*sqrt(192)*5))**2. 19/6400 Simplify (5*(sqrt(825) + sqrt(825)*2) + sqrt(825))/(-5*(-2*sqrt(147) + sqrt(3))) + 3. 3 + 16*sqrt(11)/13 Simplify (-4 + (sqrt(1584)*2 + -5 - sqrt(1584)) + sqrt(1584) + 0 + -4)**2 + 0. -624*sqrt(11) + 6505 Simplify -5 + -4*((sqrt(343) + (sqrt(343) + 1 - sqrt(343) - sqrt(343)) + -1 + sqrt(343))**2 - (sqrt(343) - (5 + -1 + sqrt(343) + sqrt(343))**2)). -6929 - 420*sqrt(7) Simplify (sqrt(242) + 3 + -2 + 5 + 2 + sqrt(242))**2. 352*sqrt(2) + 1032 Simplify (-2*(sqrt(175) - (sqrt(175) - (sqrt(175) + (5*sqrt(175) - sqrt(175)) + sqrt(175)))) + 3*(1 + sqrt(175)))**2 + -5. -270*sqrt(7) + 14179 Simplify -2*5*(sqrt(4)/sqrt(2))**2 - (3 + sqrt(18))**2*-5. 115 + 90*sqrt(2) Simplify (1 + 2 + (sqrt(49) + sqrt(49) + sqrt(49) + 5*sqrt(784) + sqrt(49))/(sqrt(7) - -2*sqrt(175)))**2. 144*sqrt(7)/11 + 5121/121 Simplify (-2*2*sqrt(84)*-6)/(sqrt(24)/(sqrt(6)/sqrt(3)) - (sqrt(12) - -2*(sqrt(12) - sqrt(12)*2) - sqrt(12))). 8*sqrt(7) Simplify (-6*-6*sqrt(128))**2 - (-5 + sqrt(4050)). -45*sqrt(2) + 165893 Simplify ((sqrt(312)*-4 + sqrt(312) + sqrt(312))/sqrt(8))/(2*(sqrt(3) + (sqrt(48) - sqrt(3)))). -sqrt(13)/4 Simplify -2*(-4 + -5*((sqrt(684) - sqrt(684)*-3) + sqrt(684) + sqrt(684))). 8 + 360*sqrt(19) Simplify -1 + -1*sqrt(208) + 3 + -3*(sqrt(13) + sqrt(13) + -5*sqrt(13)*-2)**2*2. -11230 - 4*sqrt(13) Simplify ((sqrt(684) + (sqrt(684) - (-4 + 0 + sqrt(684))) - (2*sqrt(684) + 2)) + 4)**2*5. -360*sqrt(19) + 3600 Simplify (-4 + 5*2*sqrt(567))**2 + 0 + -4. -720*sqrt(7) + 56712 Simplify (sqrt(1539) - (-5*sqrt(1539) + -2 - sqrt(1539)) - -1*2*sqrt(1539))**2 + -4. 324*sqrt(19) + 124659 Simplify ((sqrt(44) - sqrt(132)/sqrt(3))/sqrt(2))/(sqrt(1584)*3). 0 Simplify -1 + ((2 + sqrt(13) + 4 - sqrt(13)) + sqrt(13))**2 - 4*(1 + sqrt(325)). -8*sqrt(13) + 44 Simplify 3*((-1*sqrt(192) - sqrt(192)) + -3 - 4*-1*sqrt(192))**2. -288*sqrt(3) + 2331 Simplify (-4*(sqrt(5200) - (sqrt(5200)*2 + sqrt(5200))))/((sqrt(8) - (sqrt(288) - (sqrt(288) - sqrt(288)*-2)))/sqrt(2)). 80*sqrt(13)/13 Simplify (-3 + sqrt(612) + (sqrt(612) + -4)*-1 + (-1*2*sqrt(612) - (sqrt(612) + sqrt(612) + -3*(-1*sqrt(612) + sqrt(612)))))**2. -48*sqrt(17) + 9793 Simplify (-1 + 3*-4*(sqrt(192) + (sqrt(192) - (sqrt(192) - (sqrt(192) - (sqrt(192)*1 - sqrt(192)))))))**2. 384*sqrt(3) + 110593 Simplify (5*(-4 + sqrt(1700) + (sqrt(1700) + 0 + sqrt(1700))*-4 + sqrt(1700) + (sqrt(1700) + (sqrt(1700) - (sqrt(1700) + -1)) + sqrt(1700))*-1))**2*3. 60000*sqrt(17) + 8161875 Simplify (sqrt(832) + 1 + -3 + 1*((sqrt(832) - (sqrt(832) + (sqrt(832) - (sqrt(832) + 2 - sqrt(832))))) + sqrt(832)))**2. 832 Simplify (sqrt(343)*3 + 5 + -6*(sqrt(567) + 1) + sqrt(567))**2. 48*sqrt(7) + 4033 Simplify (sqrt(65)*1)/sqrt(5)*-3 - sqrt(104)/((sqrt(32)*1)/sqrt(4)). -4*sqrt(13) Simplify sqrt(14)/(-3*sqrt(63)) - (-4 + (sqrt(10)/sqrt(5) + 1)**2). -19*sqrt(2)/9 + 1 Simplify (-4*((-3 + sqrt(720))*-3 - sqrt(720) - -3*(sqrt(720) + -2)))**2. -1152*sqrt(5) + 11664 Simplify 1 + (6*(sqrt(54)/sqrt(2))/sqrt(9) + -5 + sqrt(6)/sqrt(2)*-2)**2. -40*sqrt(3) + 74 Simplify (sqrt(5) - (sqrt(5) - 1*sqrt(5)*6) - (-1 + sqrt(500))) + (sqrt(90)/sqrt(2))**2 + (sqrt(45)*-2)**2. -4*sqrt(5) + 226 Simplify (6*(sqrt(90) + sqrt(90) + -4*sqrt(90) + sqrt(90)))/((sqrt(20)/sqrt(4) - sqrt(5))*-4 + sqrt(5)). -18*sqrt(2) Simplify (-1*sqrt(114)*1 - -6*-1*sqrt(114))/((sqrt(96) - sqrt(6))*-4 + (sqrt(6) + 1*sqrt(6) - sqrt(6))*-5). 7*sqrt(19)/17 Simplify (-1*(-1*sqrt(16)*1 +
{ "pile_set_name": "DM Mathematics" }
d*z + 8 = 0. Solve 0 = 5*o + 21 - b for o. -4 Suppose 3*q + 3*b = b + 13, 4*q - 21 = b. Solve -4*d = -q*d - 3 for d. -3 Suppose -2 + 0 = g. Let n be 3 + g + 2/1. Solve -n*s = 3 + 6 for s. -3 Let p(z) = z + 2. Let c be p(0). Let y = c + -1. Let x = y + 4. Solve x*j - 3 - 2 = 0 for j. 1 Let l be (0 + 1)/((-2)/(-2)). Let m = l + -1. Suppose -f + m + 2 = 0. Solve 8 = 2*n + f*n for n. 2 Let z be (10/(-6))/(2/(-6)). Solve 0*n + n = z for n. 5 Let c(b) = -b**3 - b - 1. Let d(k) = 5*k**3 + 3*k**2 - 2*k. Let h(p) = 4*c(p) + d(p). Let t be h(-4). Solve -t = 3*g - g for g. -2 Suppose -21*n + 16*n = 0. Let i(r) = 2*r + 2. Let s = -8 - -11. Let j be i(s). Solve n*h - j = -2*h for h. 4 Let h be (1 + -5 + 2)*-1. Suppose 6 = 5*k - 4. Suppose j = k*j - h. Solve -6 = j*t - 2 for t. -2 Let h be (-1)/3*(1 + 2) - -3. Solve 0 = -3*v + 4 + h for v. 2 Suppose -2*m - 2*d = 18, -3 + 9 = 2*d. Let g = -12 - m. Solve -5*z + g*z = -20 for z. 4 Suppose 0 = -0*t - 4*t + 68. Suppose -5*j + 8 = -t. Solve 3*s - 2*s + j = 0 for s. -5 Suppose -5*p + 13 = -z - 37, -2*p + 28 = -2*z. Suppose 3*l - 3 = p. Solve l*r + 17 + 3 = 0 for r. -5 Suppose -o = 3*z - 51, -1 = 2*o - 7. Solve 7*l = 3*l - z for l. -4 Suppose 3*z = -4*g + 2*g + 9, 2*z = 3*g - 7. Solve -2*m = -9 + g for m. 3 Let z be ((-4)/(-2) + -2)/(-2). Let f be (4/18)/(1/9). Solve z*q - 10 = -f*q for q. 5 Suppose -3*d = -2*d. Suppose -w - 4*w + 10 = d. Solve 0 = w*f - 6*f for f. 0 Suppose b + 6 + 4 = 4*s, s = b + 1. Let k(m) = -m**3 + 3*m**2 + 2*m - 3. Let t be k(s). Solve 5*d = -t - 12 for d. -3 Suppose 0 = -z + 4*p - 2*p, 2*z = 2*p + 4. Solve z*n - 3 = n for n. 1 Let n = -57 - -61. Solve n*w - 4 = -20 for w. -4 Suppose 3*z - 2*d = 0, 3*d - 17 = -z - 2*d. Solve -y = z*y for y. 0 Suppose 6*z + 55 = z. Let v = -8 - z. Solve -3*o + v = -2*o for o. 3 Suppose -8 = -4*z - 2*i, 0 = z + 3*i - 0 - 2. Solve -z*u - 3 = -u for u. -3 Let r = 7 + -3. Suppose -r*f + 2 + 10 = 0. Suppose -4*i - 5 = -f*i + d, 5*i = -2*d - 10. Solve z + z = i for z. 0 Let m(k) = -4*k + 1. Let r be m(-1). Solve 10 = -r*g + 3*g for g. -5 Suppose 4*g = 8 - 0. Suppose 16 = -3*l + q, -g*l + l + 5*q = -4. Let b = -3 - l. Solve -4*r - b = -7 for r. 1 Let d(c) = 0*c + 3*c + 5 + 0*c + c**2 + 3*c. Let b be d(-6). Let z(t) = -t**3 + 3*t**2 - 3*t + 3. Let n be z(2). Solve -4*v + n = b for v. -1 Suppose 0 = 2*n - 2*p - 16, -4*p = -p + 6. Suppose 0 = -n*j + 4*j + 4. Solve -3*r = 8 - j for r. -2 Let y be (-24)/132 + (-123)/(-11). Solve 0 = -3*h + 2 - y for h. -3 Let x(k) be the third derivative of k**4/24 - 7*k**3/6 + k**2. Let g be x(6). Let n = g + 4. Solve n*i = 2*i for i. 0 Suppose -2*y - 3 = 3*g, -5*g + 1 = -4*y - 16. Let z be 2 - (g + 2) - -2. Solve 2 + z = 3*k for k. 1 Let h = 75 + -70. Solve 0 = 2*v - h + 13 for v. -4 Let p(z) be the third derivative of -3*z**4/8 - 4*z**3/3 + 2*z**2. Let i be p(9). Let r = -62 - i. Solve 12 = 5*d + r for d. -3 Suppose 4*q - 30 + 10 = 0. Solve f - 2 = -q for f. -3 Let y = 31 - -25. Suppose -124 = 3*k + k. Let f = k + y. Solve -5*a = -0*a + f for a. -5 Suppose 0*v + 39 = 4*y - 5*v, -3*y + 5*v + 23 = 0. Suppose 0 = l - 2*l - y. Let x = 31 + l. Solve -f - x = 4*f for f. -3 Let s = -11 + 12. Solve -o - s = 1 for o. -2 Let t = -32 + 34. Let o(n) = n + 7. Let z be o(-5). Solve 2*r = -z - t for r. -2 Let w be ((-1)/5)/((-3)/15). Suppose 3*d - 8 = 2*d - 5*g, d - 4*g + w = 0. Solve 2*z + d*z = 10 for z. 2 Let z = -26 - -16. Let d = -8 - z. Solve -3*k + 1 = -d*k for k. 1 Let z(b) = 2 - 2*b + 15*b**3 + 6*b**3 - 20*b**3 + 3*b**2. Let a be z(-3). Solve s - a = -s for s. 4 Let w = -2 - -4. Let h(f) = -f - 3. Let g be h(-6). Let u = w + g. Solve m = 2*m - u for m. 5 Let q = 8 + -8. Solve -3*r + 0*r + 15 = q for r. 5 Let b be (-18)/(-4) + 3/(-2). Solve -b*c = -2*c for c. 0 Suppose u - 5*i = -3*i + 8, 5*i + 5 = -5*u. Suppose 4*n - n - 64 = 4*a, -n + u*a = -24. Solve 6 = -2*h + n for h. 5 Suppose -5*a + 1 = -14. Suppose 0 = 4*z + z. Solve a = n - z*n for n. 3 Suppose -6*q + 5*q + 5*a = 10, 5*a = 15. Solve -h - 4*h - q = 0 for h. -1 Suppose 0*w = -w + 1. Solve w = -3*l + 13 for l. 4 Suppose 5*g + 4*p = 110, 0 = 4*g + 2*p - 0*p - 82. Suppose -4*c - 2 = -g. Solve -v - 15 = c*v for v. -3 Let y(v) = -v**3 - 15*v**2 + 15*v - 16. Let z be y(-16). Solve -6 = -2*m - z for m. 3 Let y(j) = -j**2 - 2*j + 1. Let s be y(-2). Solve -s = 4*z + 3 for z. -1 Suppose -3*q + 4*q - a = -4, -3*a + 4 = q. Let j be 4 - (-6 - (q - -4)). Solve 2*r + r + j = 0 for r. -4 Suppose -12 = -4*i, g = 3*i + 7 - 36. Let d = -10 - g. Solve 3*v + 1 - d = 0 for v. 3 Suppose -4*i + 8 = 2*m, -3*i = 3*m - 0 - 12. Solve i = x + 2 - 1 for x. -1 Let s(z) = -3*z - 3. Let k = -9 + 6. Let t be s(k). Solve 2*w - t = 4 for w. 5 Suppose -5*n + 2 + 17 = 3*q, 4*q - 3*n + 23 = 0. Let i be (1 - q)*1*3. Solve 11 + i = 4*l for l. 5 Suppose 3*t = 2*d + 2*t - 1, 3*d + 6 = 3*t. Suppose 2*a = -d*a + 5*k - 5, -3 = -5*a + 3*k. Solve -a - 3 = 3*l for l. -2 Suppose 5 = z + 5*o, 5*z - 5*o + 10 = 35. Solve -z*d + 20 = -d for d. 5 Suppose 5*i = -h + 20, -3*i - 2*h + 19 = -0*h. Solve -i*w = 1 - 4 for w. 1 Let b(y) = -y - 5. Suppose 3*m + 5 = 2*m. Let i be b(m). Let c(d) = d**3 - 2*d**2 - 2*d - 3. Let p be c(3). Solve i*n - n - 5 = p for n. -5 Let j = 116 - 101. Solve -j = 4*g - 7*g for g. 5 Suppose -38*i + 54 = -29*i. Solve z + i = -z for z. -3 Let t be ((-42)/(-15))/(4/10). Suppose 4*j - 1 - 5 = 2*s, 0 = 4*j + 4. Let b = s + t. Solve 15 = -b*k - 3*k for k. -3 Let o be (-106)/10 - (-8)/(-20). Let r = -11 - o. Solve 4 = p - r*p for p. 4 Let z(a) = a**2 + 2*a - 15. Let u be z(3). Suppose -s + 15 = 4*s. Solve u = 2*q + s*q for q. 0 Let d(p) = -p**3 + 3*p**2 + p. Let y be d(3). Let m = y + 11. Solve -2*z = 4 - m for z. 5 Let z = 33 + -25. Solve -4*s = -0*s - z for s. 2 Let q = 14 + -23. Let i(g) = -g**2 - 9*g - 6. Let x be i(q). Let r = x - -8. Solve 2*y + 8 = -r for y. -5 Let f(h) = h**2 - 2*h - 19. Let q be f(6). Suppose -4*w + 4*z = -88, -3*z + 16 = w + 2. Solve 5*v + q = -w for v. -5 Suppose 5*u - 10 + 30 = 0, -4*s + 20 = 5*u. Suppose -2*x - 2 + 8 = c, s = -5*x. Suppose -4*l + 22 = 5*z - c, z - 10 = l. Solve -z = -5*t + 2 for t. 2 Suppose -5*j = -2*q - 20 - 6, -22 = -4*j + q. Let d be j + (-4)/6*3. Solve 8*z - d*z = -4 for z. -1 Suppose 0 = -5*x + 5 + 5. Let l be (-5 + x)*(-1 - 0). Suppose -1 - 5 = 2*v, 0 = 2*y - 4*v - 16. Solve -y - 1 = -l*m for m. 1 Let t = -42 - -45. Solve s - 4*s = t for s. -1 Suppose 0 = -2*t - 2*t + 20. Solve 0 = 2*o - t*o + 6 for o. 2 Suppose 13*w + 20 = 17*w. Suppose -6*a = -2*a, 5*z - 15 = -w*a. Solve -z*d = -5*d for d. 0 Suppose 15*a - 20 = 5*a. Solve -3*z - a - 1 = 0 for z. -1 Let y = 6 - 3. Let d(j) = -j**3 + 7*j**2 - 9*j. Let s be d(6). Let z = 24 + s. Solve -z = y*t + 9 for t. -5 Let d = -7 + 14. Let i = d + 1. Let l = 9 + -4. Solve l*j = j - i for j. -2 Let y(z) = z**2 - 10*z + 7. Let x be -4*((4 - 2) + -4). Let c be y(x). Let l = 13 + c. Solve -l*n - 2 = -6*n for n. 1 Suppose 0*t = -2*t. Solve -s + t = -4 for s. 4 Suppose -2 + 1 = -f. Let c(q) = 5*q**3 - 2*q + 1. Let t be c(f). Solve 0 = 4*z - t - 16 for z. 5 Let p = 1 + 4. Solve -p*b = 13 - 3 for b. -2 Let r = 30 - 28. Solve -g = g - r for g. 1 Let g(n) = -n + 9. Let s be g(6). Let b(h) = -h**2 + 3*h + 1. Let v be b(s). Solve y - 1 = v for y. 2 Let b be (-1)/(51/(-99) - 6/(-33)). Solve b*z = -9 - 0 for z. -3 Suppose -4*z + 12 = -z. Suppose 1 + 11 = z*d. Suppose -w + 3*w - 3 = -d*r, -w = r - 2. Solve 0 = -a + 5 - w for a. 2 Suppose 4*h = 3*i, -2*i + 3 = -h - 2. Suppose -i = -4*p + 56. Solve 5 + p = 4*x for x. 5 Let w(q) = -q. Let j be w(-4). Solve j*c - c = 12 for c. 4 Let y = 13 - 7. Let p be 0/2 + y/2. Suppose -7*k = -p*k - 12. Solve -k*s + 3 = -0*s for s. 1 Let m = 0 - 0. Suppose -4*w + 10 = -6. Let t(h) = -h**3 + 5*h**2 - 3*h. Let j be t(w). Solve -4*y + j = -m for y. 1 Let l be (-4)/18 - 1790/45. Let z be (-430)/l + 2/8. Solve z + 9 = -4*h for h. -5 Let q(x) be the second derivative of x**3/6 - 3*x. Let a be q(0). Solve a = -s + 3*s for s. 0 Let s(v) = 3 - 3 + v - 2. Let p be s(4). Solve -3*i - 14 + p = 0 for i. -4 Let y(s) = -6*s. Let b be y(4). Let i be 120/18*b/(-10). Solve i = -5*v + v for v. -4 Suppose 0 + 1 = -x. Let r be (0 + x - 0)*-3. Let j = 20 - r. Solve -5*n + j + 3 = 0 for n. 4 Let h = -1 - -24. Solve -h + 3 = 5*b for
{ "pile_set_name": "DM Mathematics" }
lculate the remainder when n is divided by (-2)/(7/9 + -1). 8 Calculate the remainder when 32 + (-3)/((-12)/(-4)) is divided by 17. 14 Suppose 2*g + 52 - 124 = 0. What is the remainder when g is divided by 5? 1 Suppose 5*f + w = 261, -5*f + 22 = -w - 237. Calculate the remainder when f is divided by 18. 16 Suppose -s + 150 = -0*a + 3*a, -5*s + 674 = -4*a. Calculate the remainder when s is divided by 35. 33 What is the remainder when (8/10)/(1/135) is divided by (74 + 0)*(2 + (-9)/6)? 34 Suppose 0 = v + 2*v + 2*n - 46, -76 = -4*v + n. Calculate the remainder when 35 is divided by v. 17 Let m(n) = n**3 + 8*n**2 - 11*n - 15. Calculate the remainder when 3 is divided by m(-9). 0 Let o(k) = k**3 - 9*k**2 - 4*k + 9. Calculate the remainder when o(10) is divided by 12. 9 Suppose -4*t + 0*t = -4*o - 200, -t = -4*o - 56. What is the remainder when t is divided by 13? 9 Calculate the remainder when ((-99)/(-12))/((-5)/(-20)) is divided by 5. 3 Let p(x) = x**3 - 7*x**2 + 4*x + 8. Let d be p(6). Calculate the remainder when 18 is divided by (10/3)/(d/(-6)). 3 Let s(j) = 22*j**2 - 2*j - 4. Let w = 10 - 12. What is the remainder when s(w) is divided by 30? 28 Suppose 12*n - 6*n - 48 = 0. Calculate the remainder when 45 is divided by n. 5 Let j(o) = -o**2 - 2*o. Let p be j(4). Suppose -7*t = -3*t + 140. Let g = p - t. What is the remainder when 31 is divided by g? 9 Let n = 145 - 85. Calculate the remainder when n is divided by 8. 4 Suppose -2*g + 2 + 2 = 0. Suppose -g = 2*z + 5*d, -2*z + z = 5*d + 11. Calculate the remainder when z is divided by 5. 4 Suppose 5*u = 2*u + 3*j + 144, 56 = u - 5*j. Calculate the remainder when u is divided by 12. 10 Let k = 13 - 3. What is the remainder when 2*29/4*2 is divided by k? 9 Suppose 0 = k - 5 + 1. Let h(b) = -2*b + 14. Let w be h(6). Suppose c - w = -g, g - 4*c + 3*c - 10 = 0. What is the remainder when g is divided by k? 2 Let n(d) = d**3 - d**2 + d + 3. Let m be n(0). Suppose w - 11 = y, 2*w = -m*y - y + 52. Calculate the remainder when 46 is divided by w. 14 Let x(p) = -p**3 + 4*p**2 + 4*p + 1. What is the remainder when x(4) is divided by 6? 5 Let a be 36/(-2)*50/(-6). What is the remainder when ((-6)/18)/((-2)/a) is divided by 13? 12 Suppose 2*i = 4*i - 56. Let d be 0/(-2 + (-12)/(-3)). Suppose 5*c - 29 - 46 = d. Calculate the remainder when i is divided by c. 13 Let h(s) = 8*s - 7. Let k(p) = -p - 3. Calculate the remainder when h(2) is divided by k(-6). 0 Calculate the remainder when 4/3 - (-246)/18 is divided by 8. 7 Suppose -5*o = -3*o. Suppose a - 5*m - 1 = o, 3*m = -5*a - 2*m + 125. Let k = a + -11. Calculate the remainder when 29 is divided by k. 9 Let w(o) = o + 8. Let m(z) = 2*z + 7. Let u(t) = -2*m(t) + 3*w(t). What is the remainder when u(6) is divided by (1 + 0)/(2/6)? 1 What is the remainder when (1 - 15/4)*-12 is divided by 12? 9 Let a(u) = 2*u**2 + 16*u + 17. Calculate the remainder when 48 is divided by a(-7). 0 Let c = 35 + -33. Suppose -6 - 2 = -4*n. Calculate the remainder when c is divided by n. 0 Suppose -2*u + 3*u + 6 = 0. Let p(x) = -x**2 - 6*x + 1. Let l be p(u). Let a = 18 - l. What is the remainder when 50 is divided by a? 16 Suppose -z = l - 58, 3*l = 4*z - l - 216. What is the remainder when z is divided by 22? 12 Suppose 7*j = 10*j - 33. Calculate the remainder when 62 is divided by j. 7 Let b = 31 + -53. Let g = b - -36. What is the remainder when 27 is divided by g? 13 Suppose 0*z - 42 = -z. Let v = -186 - -274. Let q = v - z. What is the remainder when q is divided by 16? 14 Let q be ((-16)/(-24))/((-4)/(-186)). Suppose -j + 13 = 3*b, 0*j + 4*j = -5*b + q. Calculate the remainder when 11 is divided by b. 2 Let x(n) = -6*n**3 - 5*n**2 + 4*n + 2. Let l(i) = i**3 + i**2 - i. Let s(r) = -5*l(r) - x(r). What is the remainder when s(3) is divided by 10? 8 Let s = -4 + 7. Let j(k) = -k**2 + 4*k + 4. Calculate the remainder when j(3) is divided by s. 1 Let b = 54 - 17. What is the remainder when b is divided by 13? 11 Suppose -31*l + 1 = -32*l. Let r be 22 + (-1)/1*0. Let i = r + l. What is the remainder when i is divided by 11? 10 Let i = -19 + 42. What is the remainder when 43 is divided by i? 20 Let s(p) be the first derivative of 6*p + 2*p**3 - 5*p**2 + 3*p**2 - 3*p - 2. What is the remainder when 56 is divided by s(2)? 18 Suppose -5*u = -10 - 20. Suppose 5*a + 3*p = -23, 5*a - 2*p + 6 = -12. Let w = a + u. Calculate the remainder when w is divided by 2. 0 Let m be 2*(-2)/8*-10. Suppose m*n - 176 = n. Calculate the remainder when n is divided by 23. 21 Let c = -84 + 139. What is the remainder when c is divided by 19? 17 Suppose 0 = -4*i + 19 + 25. Let l(s) = s**3 - 10*s**2 + s - 8. Let g be l(10). Let w = 4 + g. What is the remainder when i is divided by w? 5 Suppose -3*b = 4*n - 22, -b = -2*b + 5*n + 1. Let s(u) = u**2 + 7*u - 8. What is the remainder when s(-10) is divided by b? 4 Suppose 3*f + 62 = 2*q, -2*q - 3*f + 88 = 2*q. Let n = q - 12. Calculate the remainder when 25 is divided by n. 12 Let k(x) = -x + 194. Let d be k(0). Suppose 4*i + 2*j + d = 0, 1 = 3*j - 2. Let s = i + 88. What is the remainder when s is divided by 14? 11 Let j be (-4)/18 - 76/(-18). Suppose j*y - 2*a = 9*y - 18, y + 14 = 4*a. What is the remainder when 5 - -5 - 9/3 is divided by y? 1 Let m(k) = -k**3 + 5*k**2 + 2*k - 8. Calculate the remainder when 10 is divided by m(5). 0 Let c(y) be the third derivative of -y**4/24 - y**3/3 + 2*y**2. Let n be c(-2). Suppose 2*l = -n*l + 30. What is the remainder when 44 is divided by l? 14 Suppose 9 = 2*b + d, 2*d + 9 = 5*d. Suppose -4 = -j - 4*y, -b*j + 4*y = 2*j - 20. What is the remainder when ((-33)/(-12))/((-2)/(-8)) is divided by j? 3 Let y = 9 + -9. Suppose y = 4*f + 3 - 23. What is the remainder when f is divided by 3? 2 Let z(j) = j + 14. Calculate the remainder when 38 is divided by z(0). 10 Let m(s) = -4*s. Suppose 0 = -7*f + 4*f - 9. Calculate the remainder when 22 is divided by m(f). 10 Let r be (-3)/2*28/(-21). Suppose -4*p + 5*g = 25, -3*g = -4*p - r*g - 5. Let t = p + 20. Calculate the remainder when 59 is divided by t. 19 Let s = 13 + 0. Let c = 21 - -4. Calculate the remainder when c is divided by s. 12 Let r = -43 + 55. What is the remainder when 83 is divided by r? 11 Let o(g) = -g - 1. Let p be o(-3). Suppose -3*w = p*w - 245. What is the remainder when w is divided by 17? 15 Let b(z) = z**2 - 3*z + 2. Calculate the remainder when b(-3) is divided by 19. 1 Suppose 4*j + 10*y = 8*y + 4, -3 = -3*j - y. Suppose -6*h + 4 = -2*h. Calculate the remainder when j is divided by h. 0 Let c = 23 + -13. Suppose 0 = 4*n - 3*t - 36, -5*n - 2*t + 34 = -3*t. Calculate the remainder when c is divided by n. 4 Let l(v) = 6*v + 7. Let z be l(-6). Let o = z + 54. Calculate the remainder when o is divided by 13. 12 Suppose 0 = 6*f - 11*f + 10. Suppose f*l + 0*m - 15 = m, 2*m = -4*l + 50. Calculate the remainder when 28 is divided by l. 8 Let q = -7 + 12. Let p = q - -1. What is the remainder when 17 is divided by p? 5 Suppose -l = l - 26. Calculate the remainder when 23 is divided by l. 10 Let k be 417/(-15) + (-3)/15. Suppose 0 = 4*t + t + 75. Let c = t - k. What is the remainder when 25 is divided by c? 12 Let i = -54 + 64. Calculate the remainder when 36 is divided by i. 6 Suppose 2*o = -o + 18. Calculate the remainder when (18/(-12))/(o/(-40)) is divided by 4. 2 Suppose 3*v = -i + 24 - 1, 0 = 2*v + i - 17. Let f = v - 2. Calculate the remainder when 10 is divided by f. 2 Let o(h) be the third derivative of h**5/60 - h**4/6 - 5*h**3/6 - h**2. Let d be o(5). Let y = d + 2. What is the remainder when y is divided by 1? 0 Let l = -13 + 25. Calculate the remainder when l is divided by 5. 2 Suppose -20 = 4*b + 5*a, 3*b - 4*a - 11 = 5. Suppose -c = -b*c - 11. What is the remainder when 19 is divided by c? 8 Let y = -2 - -6. Suppose -9 + 3 = -2*g. Calculate the remainder when y is divided by g. 1 Suppose 5*d - 53 = 5*g + 2, -4*d = -2*g - 34. Let v be 28/d - (-1)/3. Let p = 13 - v. What is the remainder when p is divided by 3? 2 What is the remainder when 30 is divided by (-4*3/(-6))/(9/36)? 6 Let c(n) = n**2 + 2*n + 5. Suppose -16 = 4*w - 0*w. Suppose 5*l = -2*p + 41, -l - 3*l + 22 = -2*p. What is the remainder when c(w) is divided by l? 6 Let z be (8/(-5))/((-14)/315)
{ "pile_set_name": "DM Mathematics" }
0, 2*m + 2*w - 4*w = 14. Is m a multiple of 7? True Suppose 0 = -3*y - w + 4*w + 435, -3*w = -5*y + 725. Let s = 281 - y. Let j = -88 + s. Is 12 a factor of j? True Let y(r) be the third derivative of -r**5/30 - r**4/6 - 2*r**3/3 - 3*r**2. Let b be y(-5). Let a = 53 + b. Is 19 a factor of a? True Suppose -8*k = -7*k - 5. Suppose -u - d - 128 = -k*u, -5*u - 4*d = -160. Is 23 a factor of u? False Suppose 0 = -2*f + 3*t + 1401, 5*t - 78 = -3*f + 2071. Is 59 a factor of f? True Let t be -7 + 10 + 5*16. Suppose 4*z + t = -69. Let g = -18 - z. Does 10 divide g? True Is 72/(6/(-39)*(-9)/12) a multiple of 21? False Is 5 - (-99 - (-2 + -1)) a multiple of 2? False Let q(g) = 2*g**2 - 20*g - 4. Let r(l) = 5*l**2 - 40*l - 6. Let k(z) = 7*q(z) - 3*r(z). Let s = -4 + -13. Is k(s) a multiple of 8? False Suppose 4*k - 639 = k. Let c = k - 123. Is c a multiple of 15? True Let r(m) = m**2 - 7*m + 6. Let j be r(8). Let u = j + -17. Is 19 a factor of u/(-1) - (11 + -39)? False Let z(k) = -k**2 - k + 29. Let b(y) = -5*y**3 - 2*y**2 - 2*y - 1. Let v be b(-1). Suppose v*g = 5*g. Is 8 a factor of z(g)? False Let s = -18 - -17. Let t be s/(-2)*38*-1. Let n = t - -28. Is n even? False Let z = -1593 + 1933. Does 5 divide z? True Let c(b) = -2*b**3 - 2*b**2 - 2*b + 6. Suppose 0 = -7*l + 2*l - m - 10, -3*l = -4*m + 29. Let k be c(l). Suppose 4*d - k = 84. Is d a multiple of 22? False Suppose -52*k + 42*k + 990 = 0. Does 33 divide k? True Let i be ((-2 - -2) + 7)*-1. Let q = i - -7. Suppose -2*p + 88 = -q*p. Is 22 a factor of p? True Let u(r) be the second derivative of r**3/6 - 9*r**2 - 5*r. Let i be u(18). Suppose 4*z - 55 - 17 = i. Does 5 divide z? False Let c(t) = 69*t**3 - 5*t**2 + 15*t - 22. Is 45 a factor of c(2)? True Let o be (-160)/(-20) - (0 + -1*1). Suppose -o*a = -a - 136. Is a a multiple of 17? True Let w(n) = 40*n - 3. Let m be w(2). Suppose 0 = -3*a - 3*h - 24, -2*a = a - 4*h + 59. Let t = a + m. Is t a multiple of 16? True Suppose r - 5*g = 34, -4 - 2 = r + 3*g. Let x be (-3)/r - (-67)/3. Is (0 - (2 - 3))*x a multiple of 10? False Let w(j) = -j**3 + 38*j**2 + 31*j + 144. Is w(37) a multiple of 70? True Suppose -121*v + 585 = -116*v. Suppose -4 = h - v. Does 8 divide h? False Suppose -26*c - 13*c + 14586 = 0. Is c a multiple of 4? False Let m = 11 + -7. Let v be 21/6*(-1408)/(-77). Suppose 0 = 4*r + 4*d - v, -3 - 45 = -3*r + m*d. Is 4 a factor of r? True Let x(g) = -12*g + 107. Let v be x(8). Let m = 9 - 3. Suppose v*b - m*b - 180 = 0. Is 6 a factor of b? True Suppose x + 2 = 2*x. Suppose 6 = 5*p - x*p. Is (12 + p)*(-2)/(-4) even? False Let x(b) = b**3 - 8*b**2 - 7*b + 54. Is x(9) a multiple of 3? True Suppose 1293 = 10*h - 507. Does 5 divide h? True Does 9 divide 3997/28 - (0 + 10/(-8))? True Suppose -2*m + 5737 = 5*o, 11*m - 7*m - 5739 = -5*o. Does 37 divide o? True Let h(d) = 2060*d**2 - d - 1. Let p be h(-1). Suppose -4*m + p = -9*m. Is 22 a factor of m/(-14) + (-12)/28? False Suppose 6*t - 5 = t. Let l(s) = 8*s - 1. Let j be l(t). Let k = j - -8. Is k a multiple of 15? True Let o = 2 - -7. Let m = -6 + o. Is 3 a factor of m? True Suppose 0 + 5 = -h + 4*r, -3*h - 2*r + 13 = 0. Suppose -3*d - 398 = -5*a, -h*d + 10 = -2. Suppose u + 86 = -i + 3*i, -3*u = -2*i + a. Does 15 divide i? False Suppose 1098 = 23*n - 19*n + 3*r, 0 = 5*n + 4*r - 1373. Is n a multiple of 4? False Let j(s) = -8*s + 12. Let p(i) = i + 1. Let h(u) = -j(u) - 4*p(u). Let n be h(5). Suppose 3*f + 5*l = f + 88, 0 = n*f + l - 176. Is f a multiple of 9? False Let u = -2741 - -3350. Is 7 a factor of u? True Suppose -4*m = -0*m + d + 45, -4*d + 10 = -3*m. Let h = 2 - m. Suppose 0 = -8*y + 7*y + h. Is 5 a factor of y? False Let q(w) = 2*w**2 - 9*w + 13. Let u = -43 - -50. Is 12 a factor of q(u)? True Let y(r) = 3*r - 28. Let j be y(8). Is 6 a factor of 2 + (j/(-8))/(2/124)? False Let t(h) = h**3 + h**2 + 551. Is t(0) a multiple of 21? False Suppose l + 0*l - 20 = 0. Let i = l + -16. Suppose 291 = i*r + 99. Is 9 a factor of r? False Suppose 5*p + 18 = 2*b, 0 = b - 0*b - 5*p - 14. Let h be ((-10)/8 + -1)*b. Let d = h - -15. Is d a multiple of 6? True Let k = -623 - -644. Is 21 a factor of k? True Let w(k) = k**2 + 6*k - 14. Let c be w(-8). Suppose -2*m = -c, -3*h + 2*m = -h - 18. Is 2 a factor of h? True Let v = 15 + 85. Is 33 a factor of v? False Let s(o) = -o**3 - 67*o**2 + 139*o + 178. Is 9 a factor of s(-69)? False Let k(i) = 4*i**2 - 21*i - 62. Is k(12) a multiple of 14? False Let l(m) = -m - 5. Let k(h) = h + 4. Let n be k(-9). Let q be l(n). Suppose -56 = -7*z + 2*z + 3*p, q = 2*z + 4*p - 38. Is 13 a factor of z? True Suppose 2*k + k - 114 = 0. Let r be (7 + 1)*(-182)/56. Let q = r + k. Is q a multiple of 4? True Suppose 7*u = 6*u + 225. Is 15 a factor of u? True Let v be 4 - 1/(4/(-24)). Suppose 3*f - v = -r, 2*r - f - 23 = -4*f. Suppose 226 - r = 3*q. Is 18 a factor of q? False Let g be ((-8)/(-6))/(24/54). Suppose -b - 1 = -g. Let d(h) = 13*h**2 - 1. Is d(b) a multiple of 17? True Let x(f) = f**2 + 14*f - 27. Let r be x(-19). Let u(t) = 17*t + 3. Let y be u(-3). Let m = y + r. Does 7 divide m? False Suppose -3*x = -4*c - 5*x + 54, 4*c = 4*x + 60. Suppose j + 16 = -40. Is 16 a factor of (c/(-4))/(4/j)? False Is 2439/54 - (76/24 + -3) a multiple of 3? True Suppose -5*m = -2*v - 840, 4*m - 5*v - 534 = 121. Is 10 a factor of m? True Let u(q) = q - 12. Let p be u(13). Let y(v) = 67*v**3 - 2*v + 1. Let i be y(p). Suppose -24 = -2*r + i. Does 15 divide r? True Let j(p) = -10*p**2 - 512*p + 40. Is 7 a factor of j(-49)? False Suppose -4*x + 1217 = -f - 3634, -5*f = -3*x + 3651. Does 12 divide x? True Suppose k + l - 486 = 0, -4*k + l = -0*l - 1934. Does 60 divide k? False Let o = 17 + -19. Let v be o + -283 + (-3 - -4). Does 6 divide 2/6 - v/12? True Let s(y) = 18*y - 47. Is s(4) a multiple of 2? False Suppose -2*u = -w - 15, w = 5*u + 6*w. Let t(n) = n + 5. Let k be t(-3). Suppose 0 = 3*z - k*r - 175, -u*r = -0*r - 5. Is z a multiple of 19? False Suppose 0 = -113*n + 109*n + 8. Let s(x) = 2*x**3 - x**2 + x - 2. Let k(z) = -2*z**3 + 2*z**2 - 2*z + 3. Let j(b) = 4*k(b) + 5*s(b). Does 24 divide j(n)? True Suppose 21 + 26 = m. Let j be m/2*(1 - -1). Suppose -2*y + j = -89. Does 21 divide y? False Let b(i) = i**3 - 3*i**2 - 4*i + 4. Let g be b(4). Suppose l + 5*k - 9 = 2, -2*l = -3*k + g. Does 16 divide (-4)/5*(l + -61)? True Let g(a) be the third derivative of a**6/120 + a**5/30 - a**4/12 - a**3/3 - a**2. Let r be g(-2). Let y = 22 + r. Does 12 divide y? True Let p = 677 - 90. Does 55 divide p? False Let t be 363/(-15) + 1/5. Let j = 2 - t. Does 7 divide j? False Let v = 100 - -26. Does 9 divide v? True Let f(k) = 40*k**3 - 2*k**2 + 26*k - 48. Does 27 divide f(3)? False Does 38 divide 52/(-13) - ((2 - 0) + -310)? True Let n(h) = 15*h**2 + 12*h + 54. Does 29 divide n(-6)? True Let x = 120 + -26. Let h = 244 - x. Does 15 divide h? True Let l = -88 - -39. Let i = l - -97. Is i a multiple of 16? True Let l = 24 - 48. Suppose 5*o + 280 - 75 = 0. Let n = l - o. Does 3 divide n? False Suppose -5*w = 5*h - 70, -3*w + h + 45 = 3*h. Suppose 5*p = 13 + w. Is (-12)/18 - (-202)/p a multiple of 7? False Let s(c) = -14 + 1 - c - 12*c. Suppose 3*w + 9 = -3. Is 16 a factor of s(w)? False Let g = 134 - -356. Suppose -2*u + 7*u - g = 0. Does 49 divide u? True Let j(y) = y**3 - 7*y**2 + 9*y - 17. Is j(7) a multiple of 23? True Let k(o) = 2*o**3 + 4*o**2 + o - 4. Let i = 23 + -9. Let d = i + -11. Is 18 a factor of k(d)? False Suppose -2*b + 11 + 17 = 0. Suppose -u - b = -29. Is 4 a factor of u? False Let r(o) = 2*o + 68. Is r(11) a multiple of 18? True Is 12 a factor of -64*27/(-12)*1? True Suppose -4*l + 164 = 2*c, -8*c + 3*c + 384 = -3*l. Does 3 divide c? True Suppose -20*j + 18415 - 5915 = 0. Is j a multiple of 37? False Is 15984/14 - (-11)/(924/24) a multiple of 22? False Suppose 21 = -2*m + d, m + d - 3*d + 3 = 0. Let q(t) = t**2 + 11*t - 4. Let w be q(m). Suppose -s + w = -0. Is 11 a factor of s? True Is (808/36 - 2/(-9))*27 a multiple of 17? True Let f be 1/(165/41 + -4). Let x(s) = 5*s**3 - 3*s**2 + 4*s - 1. Let r be x(3). Let j = r - f. Is j a multiple of 39? True Let c = -211 - -207. Let x(d) = -2*d**2 - 5 - d - 2*d + 3 - d**3. Is 14 a factor of x(c)? True Let c(x) = 4*x - 12. Let a(k) = -9*k + 3. Let
{ "pile_set_name": "DM Mathematics" }
t i(o) = -3*c(o) - u(o). What is i(2)? -1 Let w(l) = 7*l**2 - 2*l - 1. Let a = -4 + 3. Calculate w(a). 8 Suppose 0 = -4*p + 2*f - 2, 0 = 5*p + f - 4*f + 3. Let r = p - 2. Let g(z) = -6 + 18 - 10 + 4*z + 5*z**2 + z**3. Calculate g(r). 6 Let p(u) = u**3 - 3*u**2 - 4*u - 4. Let h be ((-16)/(-14))/(22/77). What is p(h)? -4 Suppose 3*u - 5 = f - 3, -3*f - 3*u = -30. Let y(t) = 16*t - 7*t + 0 + 1 - f*t. What is y(1)? 3 Let k(l) = 0*l**3 + 3 + l - 4*l + l**3 + 2*l**2. Let p = 3 - 1. Suppose -p*d + d = 3. Determine k(d). 3 Suppose -2*s - 3 = 4*g + 1, 4*s - 5*g - 18 = 0. Let j(d) be the first derivative of -1/3*d**3 - 3*d**2 - 3*d + s. What is j(-2)? 5 Let s = 12 - 7. Let x(c) be the second derivative of c**5/120 + c**4/24 - c**3/3 - c. Let u(t) be the second derivative of x(t). Calculate u(s). 6 Suppose -5*c - x = 4*x + 40, 0 = -c + 3*x. Let j be (-20)/c - (-14)/21. Let s(q) = -q**2 + 3*q + 4. What is s(j)? 0 Let i(z) = -z**2 - 1. Let u(o) = o**3 + 2*o**2 - o + 10. Let x be 2*(-9)/24*-4. Let f(h) = x*i(h) + u(h). Suppose -2*k = k. Calculate f(k). 7 Let n(v) = 5*v + 4. Let d(t) = 4*t + 5. Let x(f) = 6*d(f) - 5*n(f). Give x(7). 3 Let f = -1 + 2. Let y be 2 + 4/(16/4). Let m(o) = 3*o**2 + o**y + f - 1 + o - 2*o**2. Determine m(-1). -1 Let a(i) = i - 7. Let q = 2 + 2. Give a(q). -3 Let p(s) be the third derivative of -s**7/630 - s**6/720 - s**5/120 - s**4/12 - s**2. Let j(o) be the second derivative of p(o). Give j(-1). -4 Let w(r) = 9 + 5*r**2 - 4 - 2*r - 2*r - r**3. Let t(j) = 4*j - 28. Let q be t(8). What is w(q)? 5 Suppose -3*q = q - 12. Suppose b + 4*b - 15 = 0. Let t(v) = v + 2*v + 1 - v**2 - b. What is t(q)? -2 Let x(t) = t + 7. Let k be (1 + -4)*2/(-2). Let o be 2/(-6) + (-11)/k. Give x(o). 3 Let y(b) = -b**3 + b**2 + 2*b. Let l be y(2). Suppose 0 = 5*m + 15, l = 2*w + w + 5*m + 12. Let g(u) = -5*u - 1. Give g(w). -6 Let r = -71 + 39. Let y be r/6 + (-1)/(-3). Let m(g) = g**2 + 4*g - 2. Give m(y). 3 Let s(r) = 7*r**2 + 3*r + 1. Suppose -1 = -6*u - 13. Give s(u). 23 Let w(x) = x**3 - 4*x**2 - x + 3. Let k(r) = r**3 - 2*r + 1. Let d be k(1). Let u(t) = 3*t**3 - 1. Let v be u(1). Suppose v*h + 2*h - 16 = d. Give w(h). -1 Let b(k) = -11*k + 2. Let n(u) = 12*u - 3. Let r(m) = 3*b(m) + 2*n(m). Give r(1). -9 Let s be (-8)/(-3 + -1)*2. Suppose 9 = -l - s*f + f, -l - f - 1 = 0. Let u(v) = v - 5. Determine u(l). -2 Let b(q) = q + 1. Let u(t) = 4*t - 6. Let r = 7 - 6. Let k(i) = r*b(i) - u(i). Determine k(5). -8 Suppose 0 = -0*j + 3*j + 24. Let g = j - -13. Let h(c) be the second derivative of c**3/6 - c**2 - 2*c. What is h(g)? 3 Let r = -26 + 17. Let w = r - -4. Let i(j) = -2*j - 2. Determine i(w). 8 Let z(u) be the third derivative of -u**8/840 + u**4/24 - 3*u**2. Let p(n) be the second derivative of z(n). Determine p(-1). 8 Let n(j) = -5*j**3 - j**2 + j. Let o(x) = x + 2. Let r be o(-3). Let z be -3*(r/(-3))/(-1). Calculate n(z). -5 Let x(j) = j**3 - 7*j**2 + 6*j. Let t be (-1)/(-3)*9 - -3. Determine x(t). 0 Suppose g - 12 = -0*g. Let u be -2*3/(g/(-34)). Let f = -12 + u. Let l(k) = -k**3 + 5*k**2 + k + 1. What is l(f)? 6 Let o be (-102)/(-14) - (-10)/(-35). Let u(t) be the first derivative of -t**3/3 + 3*t**2 + 8*t + 5. Give u(o). 1 Let n be 2*((-7)/2 + 4). Let h(r) = -10*r + 1. Give h(n). -9 Let a = 7 + -4. Let r(b) = a*b - 2*b**2 - 1 + 0*b**2 + 3*b**2. Let i be r(-3). Let q(h) = -9*h + 1. What is q(i)? 10 Let k(s) be the second derivative of s**2 - s - s**3 + 0 + 1/20*s**5 - 5/12*s**4. Calculate k(6). 2 Let g(w) = w**2 - 2*w - 4. Let d be 12/3*(-1 + -3)/(-4). What is g(d)? 4 Suppose -4*l - 3*j - 14 = 0, j + 0 - 22 = 4*l. Let d(i) = 22 - 15 + 3*i - 12. Let o(r) = -r + 2. Let z(u) = l*o(u) - 2*d(u). What is z(-6)? 6 Let w(i) = 3*i - 3. Let d(y) = 1 - 2*y - y + 2*y. Let l be (-1 + 2 - 0) + -5. Let c(t) = l*d(t) - w(t). Calculate c(0). -1 Suppose -3*y - y = -28. Suppose 5*w = y + 3. Let z = w - -4. Let s(a) = a**3 - 7*a**2 + 5*a + 3. Calculate s(z). -3 Suppose 2*k = 4, 2*k - 6*k - 4 = -3*o. Suppose 0 = -p - o*p + 20. Let l(r) = -1 + 3 + 6*r - 3 - p*r. Give l(1). 1 Let k(h) = h**3 - 6*h**2 + 4. Suppose 0 = -2*s - 4*r - 4, -2*s + r = s - 22. What is k(s)? 4 Let u(h) be the third derivative of -h**5/60 + 5*h**4/24 - h**3/2 + h**2. Let l be (-1)/(2/6) - -6. Give u(l). 3 Let m = -37 + 19. Let u be (2/3)/((-4)/m). Let o(x) = -2*x**3 - 4*x**u + x**3. What is o(-1)? 5 Let z be (-1 - -3) + 1 + 1. Let y(i) be the second derivative of 2*i + 1/6*i**3 + 1/12*i**z - 3*i**2 + 0. Determine y(0). -6 Let b = -3 - -12. Suppose -2*y + b = -3*j, -5*y + 4*j + 12 = -0*j. Suppose y = -r - 3*r - 16. Let a(h) = h**2 + 6*h + 5. Determine a(r). -3 Let k = -21 + 18. Suppose 0 = -5*c - 17 + 2, 0 = 3*b + 2*c. Let v(o) = -1 + b*o - o**2 - 2*o - 3*o. Determine v(k). -1 Let g be 0 + 6/((-6)/(-3)). Let i(c) = g*c - 4*c - 4*c. Give i(2). -10 Let s(m) = -m**3 + 7*m**2 - 5*m + 1. Suppose 0 = 2*h - 5*v + 13, -3*h + 5*v - 9 + 2 = 0. Calculate s(h). 7 Let t(d) = 3*d + 6. Let k(u) = u**2 - 3*u - 5. Let j(v) = 3*k(v) + 2*t(v). Give j(-2). 15 Let u(g) be the first derivative of -g**4/4 - g**3/3 + g**2/2 + 5*g - 20. Determine u(0). 5 Let m(h) = -h**3 - 2*h**2 + 3*h - 2. Let q(n) = -n - 8. Let f be q(-8). Suppose f = -k + 5*k + 5*p + 13, k = -5*p - 7. Let s be k - 0 - (2 - 1). Determine m(s). -2 Let q(b) = 0*b - 2*b + 4*b + 3*b**2 + 2 + b. Determine q(-2). 8 Let o(y) = -2*y. Suppose -2*r + 14 = 2. Suppose 16 = 4*f + 2*j, 3*j + 2*j = -2*f + 8. Let t = r - f. Calculate o(t). -4 Let f(v) = -5*v**3 + 3*v**2 + 12*v - 4. Let s(q) = 4*q**3 - 4*q**2 - 11*q + 3. Let k(g) = 3*f(g) + 4*s(g). Give k(8). 0 Let x(m) be the second derivative of -m**4/12 + m**3/6 + m**2/2 + 91*m + 1. Suppose 0 = -2*q + 2, 3*o - 5*q + 8 = 3. What is x(o)? 1 Let y(b) = -b**3 + b**2 - 7. Let s be 0*(0 - 1/(-2)). Give y(s). -7 Let p(f) be the second derivative of -1/12*f**4 + 3*f + 3/2*f**2 + 0 + 0*f**3. Give p(3). -6 Let w(h) = -h**3 + 12*h**2 + 12*h + 3. Let n(v) = -v**3 + 13*v**2 + 13*v + 2. Let r(m) = 5*n(m) - 6*w(m). What is r(8)? 0 Let b(u) = -u**2 - 3*u + 6. Let i(q) be the second derivative of q**4/6 + q**3 - 13*q**2/2 + q. Let l(f) = -9*b(f) - 4*i(f). Determine l(-3). -2 Let y(z) = z**3 + 5*z**2 + 2. Let n = 55 - 60. Determine y(n). 2 Let w(g) = 3*g - 11. Let f be w(9). Let m(b) = 12*b**2 + 0*b + 0*b - f*b**2 + b. Determine m(1). -3 Let a(q) = q - 4. Let b = 29 + -33. Give a(b). -8 Let l(d) = -2 + 2*d**2 + 2*d**2 - 4*d**2 + d**3. Determine l(0). -2 Let t(x) = -6*x**2 + 3*x + 3. Let z(d) = -5*d**2 + 2*d + 2. Let l(r) = -6*t(r) + 7*z(r). Determine l(4). -4 Let m = -22 + 23. Let r(x) = -9*x**2. Determine r(m). -9 Let h(o) = -o**3 - o**2 + o - 1. Let t(j) = 6*j**3 + 8*j**2 - 4*j + 2. Let u(f) = 5*h(f) + t(f). Determine u(-3). -6 Let k(c) = -2*c - 2. Suppose -4*o = -2*l - 2*l - 32, -4*o = l - 17. Suppose -4*f + 17 = -5*f + 3*h, 0 = -f - o*h + 23. Let u be 4*(-3)/(f + 5). Determine k(u). 6 Let a be 3/3*2*4. Suppose -5*o - a = -4*h, 2*h = 2*o - 0*h + 2. Let t(z) = z - 3. What is t(o)? -7 Let i(r) = -r - 5. Suppose -5*f = -13 + 43. Determine i(f). 1 Let i(x) = -5*x + 7. Let k(l) = -14*l + 19. Let a(s) = 11*i(s) - 4*k(s). Determine a(-2). -1 Let h(a) = a + 2. Let g(m) = -m + 3. Let f(i) = -2*i + 5. Let c(w) = -4*f(w) + 7*g(w). Let d(y) = 3*c(y) - h(y). What is d(-4)? -7 Let d = -2 - -6. Let j(l) = -d*l + l + 1 - 3*l. Give j(-1). 7 Let v(z) = -z**3 - z**2 + z - 6. Suppose -3*g = 5*i - 6, g - 1 = -2*i + 1. Give v(i). -6 Suppose -3*a = c + 4, -5*a + 4*c + 12 = c. Let w = -4 - -7. Let r(t) = -w + 0*t**2 + 4*t**3 - 3*t**3 - t**2. Calculate r(a). -3 Let a(h) = -h**3 - 5*h**2 - 4*h - 2. Let v be 4 + (-424)/52 + 2/13. What is a(v)? -2 Let q be ((-5)/(-15))/(1/12). Let i = 8 - q. Let o(d) = -1 - i*d + 1 - d**2 + 2*d. Give o(-3). -3 Let b(x) be the first derivative of x**4/4 + x**3 - 5*x**2/2 - 2*x - 3. Suppose -5*a - 20 = -5*i - 3*a, 3*a = -5*i - 5. Suppose 2*y = -i*y - 16. Give b(y). 2 Let s = 10 - 8. Let j(y) = -y**3 - 6*y**2 - 4*y + 7. Let l be j(-5). Let t be l - (-1 - -7)/s. Let r(b) = -2*b**2 + b + 1. Give r(t). -2 Suppose -15 = -2*g - g. Let w(v) = 8*v + 1. Let m(i) = -7*i - 1. Let b(a) = g*w(a) + 6*m(a). Calculate b(3). -7 Let s(x) be the first derivative of x**4/4 - 2*x**3/3 - x**2 + 2*x - 251. Let v be -4*-3*2/8. Calculate s(v). 5
{ "pile_set_name": "DM Mathematics" }
by f. 2 Let y = 214 - 196. What is the remainder when 125 is divided by y? 17 Let p be 2/4*(2 - -2). Suppose 0 = -p*x - 2*x + 56. Let d = 68 - 13. Calculate the remainder when d is divided by x. 13 Let g be (8/24)/(1/21). Suppose -3*r + 80 = 4*s, 5*s - g = 3. Calculate the remainder when r is divided by 13. 11 Suppose -4*n - 4*p = -16, -16 = -4*n + p - 3*p. Calculate the remainder when 25 is divided by n. 1 Suppose -2*u + 5*r = 27, -3*u + 5*r - 20 - 8 = 0. Suppose -3*q + 5*q - 4 = -5*f, -5*q + f = -37. What is the remainder when (-19)/u + 0/(-1) is divided by q? 5 Suppose 4*r = 4*o + 60, 0*r + 39 = 3*r - 5*o. Suppose 3*a - a - h - r = 0, 2*a - 5*h - 10 = 0. What is the remainder when 28 is divided by a? 8 Let d(c) = c**2 + c + 1. Suppose 0 = 2*u - 6*u + 8. Suppose 5*q - 66 = -u*h, 24 = q + 3*h + h. What is the remainder when q is divided by d(-3)? 5 Let g(v) = -v**3 - 2*v**2 + 2*v + 4. Calculate the remainder when 81 is divided by g(-4). 25 Let h(u) = 3*u**3 - 3*u**2 + 2. What is the remainder when 55 is divided by h(2)? 13 Let h(r) = -6*r - 7. Let v be h(-2). Suppose -v = -3*b + 10. Calculate the remainder when 6 is divided by b. 1 Let s = -27 - -38. Let p(t) = t**3 + 5*t**2 - t - 1. Calculate the remainder when p(-3) is divided by s. 9 Suppose -2 = -v - 0*v. Suppose 2*a - 2 = -t, 4*t - a + v*a = 1. Suppose t = y - 4 - 5. Calculate the remainder when y is divided by 5. 4 Suppose 0 = -5*v + 3*h + 40 + 54, 2*h = -v + 11. Calculate the remainder when 48 is divided by v. 14 Suppose -230 = -4*h - 26. Let f = -21 + 30. Suppose 4*k - f - h = 0. Calculate the remainder when 29 is divided by k. 14 Let o be (3/(-9))/((-4)/(-12)). Let q = o - -14. What is the remainder when 36 is divided by q? 10 Suppose 0 = -w + 3. Suppose 27 = w*a - 141. Let o = -37 + a. What is the remainder when o is divided by 7? 5 Suppose 0 = 3*p - 11 - 1. Suppose -12 = -3*c - 0*c. Suppose c*o + 8 = p*b, -4*b - 2*o + 0*o = -8. What is the remainder when 3 is divided by b? 1 Suppose f = -u - 0*u - 23, 0 = -f - 5*u - 7. Let v = 0 - f. Let s(a) = 7*a**2 + 4*a + 1. What is the remainder when s(-3) is divided by v? 25 Suppose 5*a - 212 = 3*l, -3*a - 26 = 3*l - 134. Suppose -4*r = -0*r - 12, 0 = -4*k - r + 87. What is the remainder when a is divided by k? 19 Suppose -5*n - 69 = -5*t + 2*t, -3*n - 81 = -4*t. What is the remainder when 65 is divided by t? 11 Suppose 3*c - z - 149 = 0, 246 + 8 = 5*c + 4*z. Calculate the remainder when c is divided by 1*(-16 + -1)*-1. 16 Suppose -2*o - 1 = 5. Let j = 6 + o. What is the remainder when 10 is divided by j? 1 Let l = 4 + 4. Let o = -81 - -84. Calculate the remainder when l is divided by o. 2 Let a(w) = -4*w**3 - 2*w**2 + 4. Let k(d) = 4*d**3 + 2*d**2 - 3. Let x(t) = -4*a(t) - 5*k(t). What is the remainder when x(-2) is divided by 12? 11 Let c = -33 + 70. Suppose -3*h + 59 = 2*b, 137 = 5*b - 2*h + c. What is the remainder when 64 is divided by b? 20 Suppose -7*t = -6*t - 16. Calculate the remainder when 91 is divided by t. 11 Let s be (-7)/(-1 - (-8)/10). Let b = -24 + s. Suppose 6*g - 31 = 5*g. What is the remainder when g is divided by b? 9 Let l = -1 - -4. Suppose -f = l*f. What is the remainder when 8 is divided by (1 - f)*(3 - 0)? 2 Let o(b) = b**2 - 8*b - 14. Suppose 22 = -8*a + 10*a. What is the remainder when o(a) is divided by 10? 9 Let f(v) be the second derivative of -v**5/20 + 5*v**4/12 + v**3/6 - 3*v**2/2 + 7*v. What is the remainder when 2 is divided by f(5)? 0 Suppose -31 = t - 0*t. Let u = 68 + t. What is the remainder when u is divided by ((-1)/2)/(2/(-76))? 18 Let p = -22 + 39. Let n(g) = -g + 4. Let s be n(4). Suppose -u + 31 = 5*d, s = 3*d + 2*u - 6*u - 14. Calculate the remainder when p is divided by d. 5 Let n be 1/(-6) + 581/(-42). Suppose -2*i = -1 - 7. What is the remainder when (n/10)/(2/(-10)) is divided by i? 3 Suppose -n = -z + 24, -4*z - n = -4*n - 97. What is the remainder when z is divided by 7? 4 Suppose -15 = -k - 4*k. Suppose -k*q = -c - 16, 3*q + 4*c = -q. Calculate the remainder when 10 is divided by q. 2 Let z = 11 - 7. Suppose -21 = -k - 3*n, -k = -5*n - 5 + 8. Calculate the remainder when k is divided by z. 0 Let w = -32 - -83. Let n = 8 + 10. What is the remainder when w is divided by n? 15 Suppose -4*g - h + 5 = -3*g, 2*g - 4*h = -20. Suppose 0*n - 2*n = g. Suppose n*t - 3*t + 12 = 0. What is the remainder when 10 is divided by t? 2 Suppose 12*l = 13*l. Suppose -13 = -2*w + w. Suppose l = t - 5*i + 12, 2*t + 4 - w = -i. What is the remainder when t is divided by 2? 1 Suppose -8*b + 12 = -4*b. Let g be (39/b)/(-1)*-1. Suppose -g - 11 = -3*v. What is the remainder when 23 is divided by v? 7 Let h be ((-24)/20)/((-6)/(-40)). What is the remainder when 62*((-4)/h + 0) is divided by 16? 15 Suppose 0 = -5*g - 33 + 113. Suppose 5*f = 69 + g. Let n(q) = -q**3 + 3*q**2 + 4*q - 6. What is the remainder when f is divided by n(3)? 5 Let x(v) = -12*v. What is the remainder when 22 is divided by x(-1)? 10 Let h = 78 + -69. Calculate the remainder when -2 + 24 + 2/1 is divided by h. 6 Let z(a) = a**2 - 3*a. Let h(n) = n**2 + 6*n. Let w be h(-5). Let o = 42 - 28. Calculate the remainder when z(w) is divided by o. 12 Let p(f) = f**2 + 3*f + 2. Suppose 0*i + 4 = i. What is the remainder when p(i) is divided by 8? 6 Let h = 5 + 1. Let s(y) = y + 13. What is the remainder when (-8)/2*(-9 - 0) is divided by s(h)? 17 Suppose -j - 8 = -2*j + 5*o, 3*o - 68 = -5*j. Calculate the remainder when 12/(-8) + 395/10 is divided by j. 12 Let h = 20 + 8. Suppose -m + 11 = -2*k - 4, 0 = -2*m + 5*k + 30. What is the remainder when h is divided by m? 13 Let j = 53 - 39. Calculate the remainder when 45 is divided by j. 3 Let j(q) = q**3 - q**2 + 2*q. Let a be j(3). Let d = 38 - a. Let w(f) = f**3 - 5*f**2 - f - 3. What is the remainder when w(6) is divided by d? 13 Suppose i + 21 = 2*i. Let u(b) = -4*b**2 - 13*b - 5. Let x(j) = -j**2 - 3*j - 1. Let z(d) = 2*u(d) - 9*x(d). Calculate the remainder when i is divided by z(-4). 10 Let s be 595/28 + 3/4. Let d = -7 + s. What is the remainder when 29 is divided by d? 14 Suppose -3*v = 4*s + 136 + 210, 0 = 3*v - 5*s + 310. What is the remainder when ((-8)/10)/(4/v) is divided by (1/2)/(2/48)? 10 Let y(w) = w - 7. Let j be (-3 - -5) + 2*-1. Calculate the remainder when (-17)/(-1) - (j - 2) is divided by y(14). 5 Let b(p) = 3*p - 10. Suppose -88 = -6*a + 10*a. What is the remainder when b(7) is divided by 4/a + (-92)/(-22)? 3 Let u = -5 - -9. Suppose -5*z = -0*h + 5*h - 5, 0 = h + u. Let g(t) = -7*t**3 + t**2 + t + 1. What is the remainder when g(-1) is divided by z? 3 Suppose 7*g - 396 = -2*g. Calculate the remainder when g is divided by 8. 4 Let z(u) = 2*u + 8. Let k = -32 - -43. What is the remainder when z(6) is divided by k? 9 Let l = 6 + -9. Let y = l - -5. Calculate the remainder when 17 is divided by (-54)/(-6) + -1 + y. 7 Suppose 0 = -3*s - 5*b - 270, 2*s + b + 180 = -0*s. Let c = -53 - s. Calculate the remainder when c is divided by 13. 11 Let d = -33 + 67. Let t(f) = -f**3 + 13*f**2 - 11*f - 9. Let r be t(12). Suppose -r*y + 36 = -y. Calculate the remainder when d is divided by y. 16 Let s = 102 + -73. Calculate the remainder when s is divided by 15. 14 Let r(q) = q + 1. Suppose 0 = -2*c - 0 + 8. Calculate the remainder when r(c) is divided by 3. 2 What is the remainder when 12/((1 + -2)/((-5)/2)) is divided by 11? 8 Suppose 9 = 8*x - 55. Calculate the remainder when 28 is divided by x. 4 Let l = -4 + 5. Suppose 3 = -2*z - l. Let c(u) = 5*u**2 + 4*u + 3. What is the remainder when 44 is divided by c(z)? 14 Suppose 2*k = 5*j + 40, 5*k = 2*j + 33 + 25. What is the remainder when k is divided by 2? 0 Suppose -3*c + 8*c = 240. Calculate the remainder when c is divided by 25. 23 Suppose -h - k + 11 + 67 = 0, -5*h - 2*k + 399 = 0. What is the remainder when h is divided by (7/(-3))/(1/(-12))? 25 Suppose -3*v - 372 = -5*t, -2*v = -3*t - 5*v + 204. What is the remainder when t is divided by 15? 12 Suppose 8 = 2*n + 2*n. Suppose 2*w - 28 = -2*c - 3*w, -3*c + 4*w = -88. Calculate the remainder when c/16 + 3/2 is divided by n. 1 Suppose -59 = -2*v + 3*i, v - i - 40 = -3*i. What is the remainder when v is divided by 18? 16 Let x = -174 + 256. Let s(b) = -b**2 + 10*b. What is the remainder when x i
{ "pile_set_name": "DM Mathematics" }
is 2532.937 hours in milliseconds? 9118573200 What is one twentieth of a centimeter in micrometers? 500 What is 428.615775 minutes in weeks? 0.04252140625 How many months are there in 1/6 of a year? 2 How many milligrams are there in 3/25 of a gram? 120 How many grams are there in 26541.38t? 26541380000 How many millilitres are there in 17/2 of a litre? 8500 What is 5/4 of a meter in centimeters? 125 What is 1/4 of a millimeter in micrometers? 250 What is 73.42072nm in centimeters? 0.000007342072 What is 667.99 years in centuries? 6.6799 How many years are there in 415741.2 months? 34645.1 Convert 73122.2 litres to millilitres. 73122200 What is thirteen fifths of a microsecond in nanoseconds? 2600 What is one fifth of a minute in milliseconds? 12000 What is one tenth of a kilogram in grams? 100 How many minutes are there in 5/4 of a hour? 75 How many milligrams are there in 3/32 of a kilogram? 93750 How many microseconds are there in 627480.5 minutes? 37648830000000 How many micrograms are there in 29/5 of a milligram? 5800 What is 38.1315 tonnes in nanograms? 38131500000000000 How many centimeters are there in 911234.7km? 91123470000 What is 597744.9 years in months? 7172938.8 What is three fifths of a micrometer in nanometers? 600 What is four sevenths of a week in days? 4 What is twenty-one fifths of a millennium in years? 4200 How many litres are there in 538.0634 millilitres? 0.5380634 Convert 0.3872511 minutes to milliseconds. 23235.066 What is 9656.249 centuries in millennia? 965.6249 How many seconds are there in 3/10 of a hour? 1080 How many nanometers are there in 3/40 of a micrometer? 75 What is thirty-one fifths of a day in minutes? 8928 Convert 2604.681 centuries to years. 260468.1 Convert 1.333829t to milligrams. 1333829000 What is 207.783549s in days? 0.0024049021875 How many millilitres are there in thirty-one halves of a litre? 15500 What is 827288.2 tonnes in micrograms? 827288200000000000 How many days are there in 572057.1ms? 0.00662103125 How many tonnes are there in 18309.32 kilograms? 18.30932 Convert 1397.816ml to litres. 1.397816 How many weeks are there in 124643.0619 seconds? 0.20608971875 How many minutes are there in 7/4 of a week? 17640 What is 8/3 of a week in minutes? 26880 What is thirteen fifths of a litre in millilitres? 2600 How many hours are there in 642.53547ms? 0.000178482075 How many kilograms are there in seventy-six fifths of a tonne? 15200 How many decades are there in 0.6882864 millennia? 68.82864 What is 0.6057649ug in milligrams? 0.0006057649 Convert 77.6444319 seconds to weeks. 0.00012838034375 Convert 0.6943492 centimeters to meters. 0.006943492 How many litres are there in 648096.2 millilitres? 648.0962 How many centimeters are there in 1/4 of a kilometer? 25000 How many millilitres are there in 11/2 of a litre? 5500 How many litres are there in 749844.8ml? 749.8448 What is 5.215018 minutes in seconds? 312.90108 Convert 0.566146 micrograms to milligrams. 0.000566146 Convert 4799.113 nanometers to meters. 0.000004799113 How many millilitres are there in thirty-one halves of a litre? 15500 What is thirty-two fifths of a litre in millilitres? 6400 What is 3/32 of a millimeter in nanometers? 93750 What is 3/8 of a meter in millimeters? 375 What is 91.60076 microseconds in seconds? 0.00009160076 What is three tenths of a decade in years? 3 What is 16351517.7 minutes in weeks? 1622.174375 What is 745106.5 millimeters in kilometers? 0.7451065 How many millilitres are there in 21/8 of a litre? 2625 What is five quarters of a gram in milligrams? 1250 What is 0.69887 litres in millilitres? 698.87 What is 61893.54 kilometers in centimeters? 6189354000 How many millimeters are there in 45/4 of a meter? 11250 What is one fifth of a kilometer in centimeters? 20000 How many nanoseconds are there in one sixteenth of a millisecond? 62500 How many millilitres are there in 11/4 of a litre? 2750 How many seconds are there in 2/27 of a week? 44800 How many litres are there in 313.4539ml? 0.3134539 Convert 940.0171 milligrams to grams. 0.9400171 What is eight thirds of a hour in minutes? 160 How many millilitres are there in 8/25 of a litre? 320 What is 989719.8 centuries in months? 1187663760 Convert 949529.2 kilometers to centimeters. 94952920000 What is 0.7331264g in micrograms? 733126.4 How many litres are there in 0.5754896ml? 0.0005754896 Convert 34046.04s to nanoseconds. 34046040000000 How many meters are there in 1/4 of a kilometer? 250 How many months are there in 542440.3 centuries? 650928360 How many millilitres are there in 12/25 of a litre? 480 How many millilitres are there in three tenths of a litre? 300 What is ten thirds of a week in minutes? 33600 What is twenty-nine fifths of a kilometer in meters? 5800 What is fourty-six fifths of a centimeter in millimeters? 92 What is 344370.7g in nanograms? 344370700000000 How many seconds are there in one quarter of a hour? 900 How many milliseconds are there in 5/6 of a minute? 50000 Convert 97.01681 weeks to nanoseconds. 58675766688000000 How many nanograms are there in seven quarters of a microgram? 1750 What is one fifth of a litre in millilitres? 200 What is 1/4 of a day in hours? 6 Convert 46655.82 millennia to months. 559869840 What is 90383.68 centuries in months? 108460416 Convert 9.8171451 hours to weeks. 0.0584353875 Convert 47.36503ml to litres. 0.04736503 What is 1/4 of a week in hours? 42 What is three fifths of a litre in millilitres? 600 What is 5/4 of a second in milliseconds? 1250 What is 74742.59 nanometers in centimeters? 0.007474259 How many millilitres are there in 0.3628454 litres? 362.8454 How many micrometers are there in 0.6858554 centimeters? 6858.554 How many hours are there in one sixth of a day? 4 Convert 45934.93cm to meters. 459.3493 How many meters are there in 3/10 of a kilometer? 300 What is 3/40 of a litre in millilitres? 75 What is 7/8 of a minute in milliseconds? 52500 What is 3/50 of a meter in millimeters? 60 Convert 12431.26 micrograms to milligrams. 12.43126 How many centimeters are there in 1/4 of a kilometer? 25000 How many kilometers are there in 0.5002036um? 0.0000000005002036 What is 55/2 of a milligram in micrograms? 27500 Convert 8786.22 millimeters to centimeters. 878.622 What is 0.7927321g in nanograms? 792732100 Convert 96821.79mg to nanograms. 96821790000 How many minutes are there in ten thirds of a hour? 200 What is 3/25 of a hour in seconds? 432 How many grams are there in 5/4 of a kilogram? 1250 How many micrograms are there in three eighths of a milligram? 375 What is 10590.73 meters in kilometers? 10.59073 What is thirteen quarters of a day in minutes? 4680 What is 3384.213 litres in millilitres? 3384213 Convert 1136.861kg to milligrams. 1136861000 What is one quarter of a litre in millilitres? 250 How many centuries are there in 61.9447 decades? 6.19447 What is 36320.82 months in millennia? 3.026735 How many centuries are there in 3/5 of a millennium? 6 Convert 17.31542 millilitres to litres. 0.01731542 How many milliseconds are there in one sixteenth of a minute? 3750 How many millilitres are there in 13/5 of a litre? 2600 Convert 36065.41 litres to millilitres. 36065410 What is five eighths of a day in minutes? 900 How many millennia are there in 0.2794687 years? 0.0002794687 How many months are there in 4/15 of a decade? 32 What is 787069.4 grams in nanograms? 787069400000000 Convert 83506.3nm to meters. 0.0000835063 What is 834.5308ml in litres? 0.8345308 Convert 38993.32l to millilitres. 38993320 Convert 126.7443km to millimeters. 126744300 Convert 736585.8 nanoseconds to milliseconds. 0.7365858 What is 7.511791 millilitres in litres? 0.007511791 What is 0.7044393 milligrams in micrograms? 704.4393 How many millilitres are there in thirteen fifths of a litre? 2600 Convert 297237.81 minutes to hours. 4953.9635 How many millilitres are there in twenty-five halves of a litre? 12500 What is thirty-seven fifths of a centimeter in micrometers? 74000 What is 88919.62nm in millimeters? 0.08891962 What is fifty-two fifths of a tonne in kilograms? 10400 How many millilitres are there in 53/5 of a litre? 10600 What is 2/125 of a meter in millimeters? 16 How many milligrams are there in 3/10 of a gram
{ "pile_set_name": "DM Mathematics" }
43/35. Let r be (-1)/18 + (300/(-72) - -4). Which is the nearest to l? (a) t (b) r (c) 3/4 a Let g = 377 - 224. Let j = 161 - g. Which is the nearest to -1? (a) 4 (b) j (c) -1 c Let d = -14/3 - -13/3. Let j = -5824 + 5823.9. Which is the nearest to 1/4? (a) 5 (b) d (c) j c Let z = -52 - -110. Let w = z - 14. Let i = w - 43. Which is the nearest to 0.14? (a) -0.4 (b) 2 (c) i a Let t = 0 - -0.1. Let j = 3123 + -3122.5. Which is the closest to 0.1? (a) 3 (b) t (c) j b Let d = 161 + -160. Which is the closest to d? (a) -1/3 (b) -130 (c) -5 a Let f = -0.03 - 3.97. Let n = 1357/13475 + -12/1225. Let x = -10 + 9. Which is the nearest to x? (a) f (b) n (c) -5 b Let w = -0.0235067 + -0.0664933. Let l = -1 + 2. Which is the nearest to w? (a) -5 (b) -0.1 (c) l (d) 0 b Suppose 33*m = -221*m - 33*m - 1148. Suppose 2*x = x. What is the closest to x in m, 3/2, 0? 0 Let j = -994 - -1001. What is the closest to 0.5 in -0.01, -2/13, -0.05, j? -0.01 Let j = 14 - 13.92. Let v = -25.62 + 26. Let t = j - v. Which is the nearest to 1/4? (a) t (b) 0 (c) 1/6 c Let i be (-822)/(-1233) - (1 - 7/19). Which is the nearest to 1/2? (a) 1/10 (b) i (c) -2 a Let t be 2*3/(-288)*-16. What is the nearest to -0.3 in 1/2, t, -69/4? t Let z = 0.00215 - 0.04515. Which is the closest to 1/3? (a) -2 (b) z (c) -1 (d) 2/7 d Let n = -7 + 7.046. Let y = n + -4.046. Let x = -2019/7 - -288. Which is the closest to 0? (a) x (b) 0.5 (c) y a Let u = -52 - -54. Suppose 7*c - u*c + 25 = 4*y, 20 = -5*c + 3*y. Let s be 2/(4*(-2)/(-3)). What is the nearest to s in -3, 0.4, c? 0.4 Let k be ((-303)/(-606))/((-2)/1). Which is the nearest to k? (a) 1/4 (b) -2/9 (c) -31 b Let n be ((-196)/(-4410))/((-4)/18). What is the closest to -2 in 0.1, 2.1, -1/3, n? -1/3 Let s = 66 + -10. Let k = 94 - s. Let i = k - 42. Which is the nearest to 0? (a) 1 (b) 0.4 (c) i b Let s = -24.89 + 25.09. Let p = 2/5 - 1/15. Which is the closest to p? (a) s (b) 31 (c) -4 a Let n = 1156/5121 - 2/569. What is the closest to 41 in n, -0.3, -2/5, 0.2? n Let x = -15546 - -15567. Which is the nearest to 0? (a) x (b) -4 (c) 2 (d) -2/11 d Let n be ((-240)/(-25))/3 - 2. Suppose 2*t + 3*k = -15 + 22, -5*k = 3*t - 12. Which is the closest to n? (a) t (b) -2/3 (c) 3 c Suppose 2*n + 2*m - 108 = -2*n, -n - m = -27. Suppose -5*s = -32 + n. Let f = -19/11 - -87/44. Which is the nearest to s? (a) 7 (b) f (c) 1/8 b Let z = -703 - -984. Let i = 277 - z. What is the closest to -1/2 in i, -9, -2/5? -2/5 Let j = 40 - 31.5. Let x = 8 - j. Let n = 906.8 + -907. What is the closest to n in 1/4, 0.4, x? x Let y = -0.76 - 19.24. Which is the nearest to 2/5? (a) -24 (b) 0.5 (c) y (d) 4 b Let m = 1400.2 + -1401. Which is the nearest to 0? (a) -0.3 (b) 0.015 (c) m b Let w be (-525)/(-875) - (-2)/(-70). Which is the nearest to 2/7? (a) w (b) -0.2 (c) 2/9 (d) 13 c Let k = 0.04 - -1.96. Let p = -27.94 + 5.04. Let r = p - -23.9. Which is the closest to k? (a) 4 (b) -2/9 (c) r c Let f = -140.3 + 140.3. Which is the closest to f? (a) 0.5 (b) -2/5 (c) 3/20 (d) -5/3 c Let k(f) = -f**3 - 11*f**2 - 19*f - 207. Let z be k(-11). What is the closest to 0.02 in -0.8, 0.3, 3/2, z? 0.3 Suppose -12*u - 2*u = 140. Let h be (9/u)/(11/((-110)/12)). Let b = 4 - 9. What is the closest to b in h, -1, -3? -3 Let q = -6677 - -6675. Let r be (-6)/(-1)*3/12. Which is the nearest to q? (a) r (b) 0.5 (c) 2/5 c Let y = 2578/5 - 10317/20. Let w = 43/78 - 2/39. Which is the closest to y? (a) 0.3 (b) w (c) -25 a Let x = -1733 - -1728. Which is the closest to x? (a) 4 (b) -0.03 (c) 0.4 (d) 2 b Let t be (-17)/36 + 3/12. Let z be 16/(-4) + 19 - 6/12*10. What is the closest to 0 in -5, z, t? t Suppose m = 4*z + 11, -5*z + 1 = -m + 16. Let p(j) = 9*j**2 + 50*j + 28. Let x be p(-5). Which is the closest to -1.7? (a) -2/7 (b) z (c) 1 (d) x a Let w = 0.27 - 0.223. Let r = 0.147 - w. What is the nearest to r in 4, -2/15, -2? -2/15 Let w = 9.4 + 0.6. Let h = 15 - w. Let b be (-28 - -30)*5/(-40). What is the nearest to 10 in b, 1/8, h? h Let i = -0.031 + 75.031. Let o = 74.514 - -0.526. Let m = o - i. Which is the closest to 1/2? (a) 0.4 (b) 5 (c) m a Suppose -4*t = -5*y - 10, 7*y + 4 = 5*y - 2*t. Which is the nearest to y? (a) -6/5 (b) -1 (c) 21 (d) 1 a Suppose -54 = 104*t - 105*t - 5*u, 0 = -4*t - 2*u + 36. Let k = -0.3 + 0.4. Which is the nearest to t? (a) 2/7 (b) -0.5 (c) -1 (d) k a Let g = -6786 - -6791. What is the nearest to -3 in -0.4, 0.5, g, 0? -0.4 Let c = -12519 - -12519. What is the nearest to c in -1.1, 5/3, 1? 1 Let p(y) = y**3 + 4*y**2 - 68*y - 111. Let o be p(-10). What is the nearest to 0 in 1, o, 87? 1 Let f = 694 + -690. Let d = -7.5 + 10.5. What is the nearest to 4/9 in -2, d, f? -2 Suppose 13 = a + 4*w + 6, 3*w - 12 = -3*a. What is the nearest to -223 in a, -4, 0.2, -0.1? -4 Suppose 5*f - 107 = -4*i - 120, 3*i + 9 = -4*f. What is the nearest to -9/4 in 0, f, 4/7? 0 Let m = 3148.2 - 3148. Which is the nearest to 9/5? (a) m (b) 4 (c) 1/7 a Let i = -6.61 + -0.59. Let g = -2873 - -2880. Let x = g + i. Which is the nearest to -0.2? (a) x (b) -3/4 (c) 4 a Let o = 1.99 + 0.01. Let n = -52 - -142. Let y = -90.4 + n. What is the closest to -1 in o, y, -0.2? y Let f = -9.714 - -8.674. Which is the nearest to 2/9? (a) f (b) 0.3 (c) 2/5 b Let p = 13868 - 13871. Which is the closest to p? (a) -4 (b) 1/10 (c) -0.2 a Let n = 25 + -14. Let j = n - 16. Let z = -417.8 - -418. Which is the closest to j? (a) 5 (b) -5 (c) z b Let i = 8413.01 + -8413. Suppose 0 = 4*v - v - 30. Let u(p) = p**3 - 9*p**2 - 11*p + 12. Let f be u(v). What is the closest to -2 in -5, f, i? i Let y = -2/109 + -208/545. Let s be (2/15)/(4/85). Let g = s + -4/3. Which is the closest to -2? (a) g (b) y (c) 3 b Let j = -3 - -1. Suppose -74*c - 3765 = -3839. What is the closest to 1 in 0, c, j, 4/3? c Let l = -0.905 + -455.095. Let t = 459 + l. What is the nearest to t in 8, 3/7, 4? 4 Let d(o) = -26*o**2 + 126*o + 17. Let v be d(5). What is the closest to 2/3 in 3, 0.4, 1, v? 0.4 Let q = -0.04901 - 0.15099. What is the closest to -1 in -0.6, -1/19, q, 3/2? -0.6 Let s = 188 - 191.07. Let k = 0.07 + s. Let m = 2 + -1. Which is the nearest to m? (a) k (b) 0.3 (c) -3/4 b Let g(j) = -3*j - 9. Let o be g(-4). Let d(i) = -2*i + 5. Let t be d(o). Let w be (4/(-20))/(-2*(-2)/(-12)). What is the nearest to -1 in w, t, 2/3? t Let m = 2801.6 - 2802.1. What is the closest to 1 in 0.107, m, -5? 0.107 Let v = -15201.2 - -15201. Which is the closest to v? (a) -12 (b) -6/5 (c) 4 b Suppose 2*s = -4, -3*r + 9*s - 4*s + 1 = 0. Which is the nearest to -2/695? (a) 2 (b) -1 (c) r b Let b(i) = 1465*i + 10265. Let u be b(-7). What is the closest to -1 in -19, -0.5, u? -0.5 Let i be 9/(-27)*(-12)/(-10). Let y = -481 - -480.91. What is the closest to 3 in i, 3/5, y? 3/5 Let m = -1728/11 + 157. Let v(y) = y**2 + 6*y + 1. Let r be v(-5). Let f(x) = 18*x - 522. Let j be f(29). Which is the closest to j? (a) m (b) r (c) 10/3 a Let w(j) = -23*j + 370. Let t be w(16). Which is the closest to 5/3? (a) t (b) -0.3 (c) -8/3 (d) 2/3 a Let a = 54754/13 + -4212. What is the closest to a in -0.5, 0.1, -4/9, -0.7? 0.1 Let w = 5.6 + -0.6. Let s be (2/8)/(386/(-1544)). What is the closest to 2/93 in w, 0.1, s? 0.1 Let j = 1/42 + 1/7. Let w = 57.86 + 1.14. Let p = w + -59. Which is the closest to 5? (a) -2 (b) p (c) j c Let m = 88 + -21. Let x = m - 63. What is the closest to -1 in x, -0.2, 2? -0.2 Let d = -1729.2 + 1729. What is the nearest to 19 in -3, d, 2? 2 Let k = -3720 + 3720. Which is the closest to -11? (a) 2 (b) 0.5 (c) k (d) 4 c Let s(z) = -z**2 - 9*z + 847. Let n be s(-34). What is the nearest to 0 in n, -0.1, 0.4, -26? -0.1 Let r be ((-21)/(-28))/(9/(-24)) - -63. Suppose -11*t - 49 = r. What is the nearest to -3 in t, -3, -2? -3 Suppose 374*t - 354*t = -140. Which is the nearest to -1? (a) 2/7 (b) 0.3 (c) -4 (d) t a Suppose 157 = -4*o + 625. Let t be (-4)/52 - (-35)/o. Which is the nearest to -1? (a) -2 (b) -5/8 (c) t b Let f = 2137 + -2115. What is the nearest to -1/2 in 3/2, f, -2/11, -0.4? -0.4 Let p = -7098 - -7096. What is the closest to p in 1, -0.3, -4, -0.118? -0.3 Let u be (27246/60)/19 + -17. What is
{ "pile_set_name": "DM Mathematics" }
lacement from kickocqicikiqoqqkoq. Give prob of sequence ooi. 4/969 What is prob of sequence waaa when four letters picked without replacement from {a: 13, w: 3}? 33/280 What is prob of sequence eue when three letters picked without replacement from vgeseguee? 1/42 What is prob of sequence wtw when three letters picked without replacement from {h: 6, q: 4, t: 3, w: 3, v: 4}? 1/380 What is prob of sequence quu when three letters picked without replacement from {u: 3, q: 5}? 5/56 Two letters picked without replacement from ttyxxeyu. Give prob of sequence xu. 1/28 Four letters picked without replacement from {v: 9, k: 10}. Give prob of sequence vkkv. 45/646 Calculate prob of sequence ytc when three letters picked without replacement from {y: 3, c: 2, t: 1, p: 3, b: 3, v: 7}. 1/969 What is prob of sequence bbss when four letters picked without replacement from {s: 3, b: 5, z: 5}? 1/143 What is prob of sequence rst when three letters picked without replacement from trttsss? 3/70 Two letters picked without replacement from {v: 2, i: 1}. What is prob of sequence vv? 1/3 Three letters picked without replacement from dfwle. Give prob of sequence edw. 1/60 What is prob of sequence uj when two letters picked without replacement from rjjrjjjujjjrujj? 2/21 Calculate prob of sequence zzq when three letters picked without replacement from lhqzzlqhlzhqhhb. 3/455 What is prob of sequence yyyz when four letters picked without replacement from zyztyyzztzyzz? 7/715 Two letters picked without replacement from llnnjillljlnn. What is prob of sequence lj? 1/13 Calculate prob of sequence ooo when three letters picked without replacement from ooooooodd. 5/12 What is prob of sequence rss when three letters picked without replacement from {s: 7, r: 5}? 7/44 Four letters picked without replacement from {b: 5, y: 15}. What is prob of sequence byby? 35/969 Calculate prob of sequence zaza when four letters picked without replacement from {a: 6, q: 2, z: 7}. 1/26 What is prob of sequence lqql when four letters picked without replacement from qlfqqqbqqkqkblllqqq? 15/1292 Two letters picked without replacement from siwgsw. Give prob of sequence ss. 1/15 Two letters picked without replacement from {x: 2, e: 2, q: 4}. What is prob of sequence ee? 1/28 Calculate prob of sequence zee when three letters picked without replacement from {s: 1, z: 7, e: 12}. 77/570 Calculate prob of sequence tff when three letters picked without replacement from {y: 9, t: 4, f: 3, u: 4}. 1/285 Calculate prob of sequence afa when three letters picked without replacement from afffafffaaaf. 7/66 Two letters picked without replacement from {s: 3, z: 11}. What is prob of sequence zz? 55/91 What is prob of sequence cv when two letters picked without replacement from {c: 3, r: 1, u: 2, v: 3, j: 1}? 1/10 Three letters picked without replacement from {r: 2, z: 6, h: 2, n: 3, c: 5}. What is prob of sequence nzc? 5/272 Three letters picked without replacement from {c: 5, z: 14}. Give prob of sequence ccc. 10/969 Two letters picked without replacement from {e: 2, t: 5, r: 3, u: 3}. What is prob of sequence re? 1/26 What is prob of sequence pa when two letters picked without replacement from {x: 1, o: 1, y: 1, p: 1, k: 1, a: 2}? 1/21 Three letters picked without replacement from fcz. What is prob of sequence zcf? 1/6 Two letters picked without replacement from zaiiiiiniznzir. Give prob of sequence ni. 1/13 What is prob of sequence dv when two letters picked without replacement from aadaadaaddaddvbdabdd? 9/380 What is prob of sequence iwci when four letters picked without replacement from {w: 2, c: 3, i: 2, h: 4, d: 6}? 1/4760 What is prob of sequence kcu when three letters picked without replacement from {t: 5, u: 4, k: 1, a: 3, c: 3, o: 4}? 1/570 Two letters picked without replacement from {g: 10, w: 1, n: 1, d: 2, e: 2}. What is prob of sequence wg? 1/24 Calculate prob of sequence ai when two letters picked without replacement from iiiraiihi. 1/12 Calculate prob of sequence pe when two letters picked without replacement from hexpdhhedxxhee. 2/91 What is prob of sequence aaaj when four letters picked without replacement from aaajljdjlaljaa? 20/1001 What is prob of sequence kik when three letters picked without replacement from {b: 5, k: 4, i: 3}? 3/110 Three letters picked without replacement from {r: 3, g: 4}. What is prob of sequence grg? 6/35 Three letters picked without replacement from iiiiii. Give prob of sequence iii. 1 Calculate prob of sequence vb when two letters picked without replacement from {i: 2, w: 1, v: 5, b: 2, q: 2, u: 5}. 5/136 Two letters picked without replacement from {t: 2, d: 1, j: 3, f: 7, b: 2, l: 5}. What is prob of sequence jf? 21/380 What is prob of sequence lv when two letters picked without replacement from {n: 2, v: 6, l: 2, y: 1}? 6/55 Two letters picked without replacement from {l: 1, p: 3, k: 1}. Give prob of sequence kl. 1/20 What is prob of sequence tx when two letters picked without replacement from xltltjl? 1/21 Calculate prob of sequence ddji when four letters picked without replacement from {d: 4, q: 2, h: 1, r: 4, i: 3, j: 3}. 9/4760 What is prob of sequence xux when three letters picked without replacement from xxxxxxxxxxux? 1/12 Four letters picked without replacement from rbrbbrrbbbrr. What is prob of sequence rrrb? 2/33 What is prob of sequence ps when two letters picked without replacement from {v: 1, p: 1, s: 2, c: 2}? 1/15 Calculate prob of sequence fcb when three letters picked without replacement from bgcxfvb. 1/105 Calculate prob of sequence gv when two letters picked without replacement from {g: 1, w: 2, d: 1, v: 1}. 1/20 Three letters picked without replacement from {q: 3, f: 4, m: 2, i: 6, s: 1, a: 3}. Give prob of sequence siq. 1/323 Calculate prob of sequence ub when two letters picked without replacement from bbbmbbbbbbbubbbbbb. 8/153 Two letters picked without replacement from {p: 10, t: 10}. Give prob of sequence pt. 5/19 What is prob of sequence wm when two letters picked without replacement from mmmwccmmccm? 3/55 What is prob of sequence wwu when three letters picked without replacement from aawwwwwwuwwwww? 55/1092 Three letters picked without replacement from {a: 2, c: 1, z: 1, t: 1, m: 1, i: 2}. What is prob of sequence zmc? 1/336 Three letters picked without replacement from {k: 4, n: 5, o: 3, e: 7}. What is prob of sequence knk? 10/969 What is prob of sequence rbb when three letters picked without replacement from {r: 5, z: 3, b: 9, i: 1}? 5/68 Calculate prob of sequence nw when two letters picked without replacement from {w: 2, k: 1, n: 1}. 1/6 Four letters picked without replacement from yyhhyhyhyyyhyy. Give prob of sequence yhhh. 45/2002 Calculate prob of sequence uuu when three letters picked without replacement from rrrwruuurrrrrrruwrd. 4/969 Calculate prob of sequence dzdd when four letters picked without replacement from {z: 1, d: 3, u: 4}. 1/280 Two letters picked without replacement from eeeeeeececeeeeeeeee. Give prob of sequence cc. 1/171 Four letters picked without replacement from tpfgyttyyyyf. What is prob of sequence pytt? 1/396 What is prob of sequence nh when two letters picked without replacement from znssznzsnnzhsszznzz? 5/342 Two letters picked without replacement from xxicxxcbbxybc. What is prob of sequence ix? 5/156 Calculate prob of sequence cwbi when four letters picked without replacement from {w: 1, i: 2, m: 5, b: 4, c: 2}. 2/3003 Four letters picked without replacement from {a: 3, u: 5, r: 4}. Give prob of sequence aruu. 2/99 Four letters picked without replacement from {u: 9, j: 11}. Give prob of sequence juju. 22/323 What is prob of sequence tg when two letters picked without replacement from rtgttrgrtgggyrgrggt? 20/171 What is prob of sequence db when two letters picked without replacement from {b: 2, q: 2, d: 2, i: 2}? 1/14 What is prob of sequence agag when four letters picked without replacement from ggdgadgggagddd? 1/286 Four letters picked without replacement from bkqhkyty. What is prob of sequence tqyy? 1/840 Three letters picked without replacement from {r: 1, p: 2, v: 1, k: 2, g: 1}. Give prob of sequence rvp. 1/105 Three letters picked without replacement from {n: 2, y: 1, b: 1, i: 1, e: 1, z: 1}. Give pro
{ "pile_set_name": "DM Mathematics" }
p = -23*u for u. 2 Let a(u) = u**2 - 27*u + 74. Let n be a(24). Suppose z - 4*o = -18, -5*z + n*o = -z + 2. Solve -6*t = -z*t + 4 for t. -1 Let w(h) be the second derivative of -h**5/20 + h**4 - 2*h**3 + 13*h**2/2 - h - 5. Let z be w(11). Solve -4 = z*r + 4 for r. -4 Let w(a) be the first derivative of a**3/3 + 2*a**2 - 9*a + 2. Let k(n) = -7*n + 22. Let i be k(4). Let z be w(i). Solve -z*y = y + 8 for y. -2 Suppose -102 = 3*d + x + 167, 2*d + 172 = 3*x. Let u = 92 + d. Suppose -t + p = -5*t - u, -4*p = -3*t + 12. Solve t = -n + 3 - 1 for n. 2 Let g(x) = -2*x. Let w(v) = 11*v. Let h(y) = 5*g(y) + w(y). Let s(b) = 2*b - 14. Let t(i) = -3*h(i) + s(i). Let q be t(-17). Solve n - q*n = 8 for n. -4 Suppose 19*w = 16*w - 21*w. Suppose w*a - 3 = b - a, 4*b = 2*a - 6. Solve b = 3*v + v - 16 for v. 4 Let o be 4/32 - 3141/(-24). Suppose 3*l - o = -t, -3*l - 5*t + 96 = -l. Let b = 44 - l. Solve v + b = 4 for v. 3 Suppose -84*g + 7732 = -4438 - 4714. Solve 39*y - 240 = -g for y. 1 Let s = -16347 - -16359. Solve -168 = -44*r - s*r for r. 3 Let u = -112 - -115. Suppose 6*c = -u*c + 72. Solve -4*l = -0*l + c for l. -2 Let w be ((-36)/(-30))/(3/(-40)). Let b be (2/4)/(8/w)*0. Let a be (4 - (-2 - -4)) + 3. Solve 5*v + a + 5 = b for v. -2 Let x = 5806 - 5730. Solve 22*y + x = -12 for y. -4 Let b(v) = v**2 + 53*v - 541. Let c be b(-63). Solve 0 = -c*i + 19 + 159 for i. 2 Suppose 21*f - 32*f + 891 = 0. Suppose -25*t + f + 19 = 0. Solve 3*y = -t*y + 35 for y. 5 Suppose -60*t - 52 = -1552. Solve t*g = -9*g + 102 for g. 3 Suppose -4 = -2*g, -3*j - g = -j - 12. Suppose 2*n = -5*x + 4*x + 11, -j*n + 35 = x. Let i be (-1 - (-25)/20) + 6/n. Solve i = 2*r - 3 for r. 2 Suppose 5*c - 3*g = -375, 0 = -c + 4*c + 3*g + 249. Let i be (c/(-52))/(2/20). Solve -2*t + i = -5*t for t. -5 Suppose 0 = -4*a - 4*n - 4, 0 = -4*a - 0*n + 2*n - 22. Let o = a + 8. Suppose -3*l = -o*l - 3*l. Solve p + p + 6 = l for p. -3 Let g = 406 + -401. Suppose 6 = -b - 2*t, -5*b - 2*t = t - g. Solve -b*q = -q for q. 0 Let u be ((-52)/91)/((-4)/14). Suppose -f - u*y + 6 = 0, 0*f - 2*y - 10 = -f. Solve 2*p = -0 - f for p. -4 Suppose v = 5, -6*v = 5*a - v - 125. Let n be (-4)/(-40) - (-278)/a. Solve 4*u = -3*u - n for u. -2 Suppose -2*d - 80 = 4*v - 18, 4*v + 4*d + 56 = 0. Let x(y) = -7*y + 81. Let o be x(14). Let m = o - v. Solve m*t = t for t. 0 Let z be 26/91 + 117/7. Solve -2*x + 23 = z for x. 3 Let z = -1008 - -1022. Solve -23 = -z*d - 65 for d. -3 Let h(b) = 193*b + 1355. Let i be h(-7). Solve -i*r = -17*r - 0*r for r. 0 Let v = -1 - -1. Suppose 4*m + 2*w - 116 = -0*w, -184 = -5*m + 4*w. Suppose -7*c + 172 - m = v. Solve -c = 3*b + b for b. -5 Suppose -17967 = -43*s + 11*s + 129745. Solve s = 5*d + 4631 for d. -3 Suppose -5*o = -3*o - 8. Suppose 3*u - 110 = 4*w, 0*w - 16 = -o*w. Let d = u - 39. Solve d*a = 7*a for a. 0 Let u = 1673 + -1659. Solve -u*v - 18*v = 32 for v. -1 Suppose -32*h + 131 = -7*h + 6. Solve -57*o + h = 5 for o. 0 Let q(f) = 4*f - 13. Let s be (7 + 21)*1/2. Suppose 0 = 23*i - 21*i - s. Let g be q(i). Solve 8*b = 3*b - g for b. -3 Let s = -738 + 742. Solve 31*d + s - 4 = 0 for d. 0 Suppose -9*l + 73 = -80. Let y(b) = -2*b + 37. Let a be y(l). Solve a*o + 4 + 11 = 0 for o. -5 Suppose -3*j + 30 = -l, -218*l + 217*l + 54 = 4*j. Let g(m) = -m**2 - 9*m - 9. Let a be g(-7). Solve -u + a*u - j = 0 for u. 3 Let m be 1*8*(-46)/(-8) - 4. Let r be (6/4)/((-12)/304). Let w = r + m. Solve 0 = -5*t + t - w for t. -1 Suppose 22*t - 189 = 735. Solve -52 = 2*o - t for o. -5 Suppose 3*n + 20 = 4*p, p + 16 = -5*n + 21. Solve n = -5*h - 13 + 18 for h. 1 Let j = -9397 - -9397. Solve -24*n + 127 + 41 = j for n. 7 Let f be 0 + (-9)/(2 - 3). Let q = 497 + -489. Suppose 4*c + 20 = -5*u, 4*c - 2*u = -0*u + q. Solve c = -3*i - 0 - f for i. -3 Suppose 1485 = 18*m - 1215. Let d = 150 - m. Solve 0 = 4*x + 4 - d for x. -1 Suppose 221*f + 267*f = 97*f + 49266. Solve 7*q - 21*q + f = 0 for q. 9 Let i(c) = 9*c**2 - 14*c + 2. Let j be i(3). Suppose b - j = -36. Suppose 0 = -b*p + 9*p - 16. Solve 0*u = -p*u for u. 0 Let u = 24940 - 24711. Solve -u*t = -239*t for t. 0 Let b(q) be the third derivative of -11*q**4/12 + 62*q**3/3 + 9*q**2 + 17. Let j be b(5). Solve 15 = -j*i + 17*i for i. 5 Suppose -1523*z = -1518*z + 4*b - 142, 3*z = b + 92. Solve 0 = -30*u - z + 180 for u. 5 Suppose 15*s = -4679 + 4934. Solve s*m - 31 - 37 = 0 for m. 4 Suppose 3*w = -4*q + 274, w - 2*w = q - 91. Suppose 18*s + w = 3*s. Let z be ((-6)/4)/(3/s). Solve 8*i = z*i for i. 0 Suppose 0 = 9*d - 396 - 99. Let p = 57 - d. Let q be (-10)/45 + 11/9 + -1. Solve p*z + z + 3 = q for z. -1 Let k be ((-2)/(-6))/((-7)/126*2). Let z be 2/(k + (-21)/(-6)). Solve z = y - 0 for y. 4 Let z be 1*(0 + 0)/(-4) - -28. Solve 0 = 13*p - 41 + z for p. 1 Let w = -8804 - -8841. Solve 0 = 33*q - w*q + 20 for q. 5 Suppose 0 = -j + w + 8, 5*j - 24 = -0*w + w. Suppose j*l + 30 = 14*l. Suppose -l*m + 12 = -m. Solve m + 4 = -5*a for a. -2 Let i = 501 + -499. Suppose 5*c + 75 - 11 = i*w, -2*w + 3*c = -64. Solve 6 = 29*y - w*y for y. -2 Let c = -26 + -23. Let t = c - -38. Let j be (17 + t)/(3/2). Solve j + 1 = x for x. 5 Suppose -27 = -78*v + 80 + 127. Solve 0 = 37*u - 40 + v for u. 1 Let i = -450 + 455. Suppose -q - i*m = 12, -q + 28 + 0 = -3*m. Solve -3 + 29 = -q*r for r. -2 Suppose -304*k + 281*k = -874. Solve -10*d - k = -8 for d. -3 Let i be 5/(25/4)*5. Suppose n = 5*n - i*t - 16, -3*t + 12 = 5*n. Suppose -2*f = -2*b - 2*b + 54, 69 = 5*b - n*f. Solve 2*c = -2*c + b for c. 3 Let i(a) = 9 + 125*a + 1 - 133*a. Let b be i(-1). Solve -14*w - 12 = -b*w for w. 3 Let d be (18 - 0)*(-10)/20. Let o(l) = -2*l - 14. Let w be o(d). Suppose -r = -4*k + 15, w*k + 4*r + 9 = 3*k. Solve 0 = -0*m + m - k for m. 3 Let f be (9 - 7)/(10/215). Solve -f + 29 = -7*n for n. 2 Suppose 113*x - 979 = 603. Solve x = 5*u - 6 for u. 4 Let n = 598 - 577. Let y be (28/n - 1)*9. Solve -y*h = -8 + 2 for h. 2 Suppose -8*d = 10*d - 144. Suppose 0 = -3*h - 4*q - 0*q - 8, 4*h = 5*q + 10. Let r be (-5)/15 + 26/6. Solve -r*l = -h*l + d for l. -2 Let d(s) = -12*s - 90. Let f be d(-9). Suppose -f*p = 4*p. Solve p = -20*o + 24*o - 8 for o. 2 Let s(l) = -132*l + 1752. Let c be s(13). Solve -38*f = -c + 188 for f. -4 Suppose -338*i = -341*i + 3*o, 2*i = 5*o - 15. Solve i*j = 7*j - 10 for j. 5 Suppose 938*d + 40006 = 1021*d. Solve 2*q - 472 = -d for q. -5 Let m(a) = -a**3 + 3*a**2 + 4*a + 4. Let g be 3*(16/(-6))/(-8). Suppose -3*f + f = -3*p + g, 0 = 2*p - 6. Let o be m(f). Solve x - 6 + o = 0 for x. 2 Let m(a) = 113*a + 679. Let t be m(-6). Solve t = 6*v - 5*v for v. 1 Let n = -64 + 60. Let r(c) = c**3 - 2*c**2 - 3*c - 4. Let x be r(3). Let g = n - x. Solve g = w - 4 + 3 for w. 1 Let c = 1554 + -1550. Solve -979*g = -977*g + c for g. -2 Let j = -15705 - -15790. Solve -2*c = 91 - j for c. -3 Let f be 21/(-1218)*-29 + 62/4. Solve -6*x + f = -26 for x. 7 Let a be 10/(16/(19 - 3)). Solve a*i = -20*i for i. 0 Let u(j) = 3*j**3 - 8*j**2 - 11*j - 30. Let r(a) = 4*a**3 - 7*a**2 - 12*a - 31. Let w(c) = 2*r(c) - 3*u(c). Let h be w(11). Solve -h*s + s = -5 for s. 1 Let l be (-2 - (10 - 2) - 3)/(-1). Solve -l*s + 50 + 2 = 0 for s. 4 Suppose w = a + 7, 5*w - 8*a + 4*a = 32. Suppose 0 = -v - 5*j + 26, 6*j = 3*v + j - 98. Suppose -w*c - 15 = -v. Solve -o - 3*o + c = 0 for o. 1 Suppose -2*v + 4 = -3*v. Let t be (18/24)/((-1)/v) + 1. Suppose 4*f + 2*q - 7*q = 18, -t*q = 4*f. Solve 0 = -f*s - 2*s - 8 for s. -2 Suppose 13*o = 11*o + 54. Suppose -3*w + 14 = 2. Suppose 6*b = -4*x + w*b + 26, 3*x + 3*b = o. Solve 0*a - x = -a for a. 4 Suppose -1217 = -198*p + 4327. Solve 10*g - 78 = -p for g. 5 Suppose -3*k - k - 12 = 0, -2*o + 2*k + 28 = 0. Let j(b) = -o + 6*b + 5*b**2 - 4*b**2 + 4*b. Let u be j(-11). Solve -2*v - 2*v - 16 = u for v. -4 Let l = 340 - 238. Suppose -l*u + 46 = -101*u. Suppose 49*q = u*q + 51. Solve -3*s + 5 = q for s. -4 Suppose 0 = 3*k + k. Let m = 725 + -363. Suppose 376*q - m*q = 0. Solve k = -i - q*i for i. 0 Let p(y) = y**3 - 51*y**2 + 93*y + 263. Let k be p(49). Solve 8*r - k = 6 for r. 3 Suppose -410*n = -405*n - 110. Solve -v - 19 = -n for v. 3 Let h(k) be the third derivative of -11*k**4/24 + 59*k**3/6 + 16*k**2 + 2. Let n be h(5). Solve n*g + 12 = 32 for g. 5 Suppose 5*y = -8*m + 11*m + 13, 7 = -m - y. Let
{ "pile_set_name": "DM Mathematics" }
True Is -661 at least as big as -675? True Is 6 not equal to 830.5? True Is 0.5966 bigger than -1? True Which is smaller: -1338 or -351? -1338 Do 0 and -290 have the same value? False Which is smaller: 0.1 or -1348503/4? -1348503/4 Do -1/5 and -118183 have the same value? False Which is smaller: 0 or 4/1254919? 0 Is 215722 < 215727? True Which is smaller: 61956 or 61957? 61956 Is 0 > 234/24971? False Which is smaller: 0 or 8/158717? 0 Is -30139 at least as big as -1? False Is -48078 less than -47952? True Which is bigger: 1 or -66/545? 1 Are -1 and 154/543 unequal? True Which is smaller: 1156 or 30? 30 Is -17 less than or equal to 320? True Which is bigger: 0.056 or -0.0725? 0.056 Which is smaller: 1 or 131/4072? 131/4072 Which is smaller: -901400/11 or -81944? -901400/11 Is 2/11 equal to -116/15? False Which is smaller: 429179 or 429178? 429178 Is 764565 <= 764565? True Are 17219 and -3 non-equal? True Which is bigger: 0 or 31/9803? 31/9803 Which is bigger: -8 or -357.5? -8 Is -28469 bigger than -28470? True Is -27/12044 greater than 0? False Are 4634 and 4603 equal? False Which is bigger: 2990596 or 2990597? 2990597 Which is smaller: 0 or 196076? 0 Which is bigger: -33/545 or 1? 1 Which is smaller: -246249 or -246251? -246251 Which is bigger: 1263 or 46735/37? 46735/37 Which is smaller: -15 or -3801/241? -3801/241 Is -287422 smaller than 9? True Is 216 <= 5343? True Which is greater: 2/7 or -27/398? 2/7 Which is smaller: 1.58 or -13/30? -13/30 Which is smaller: -24/139753 or -1? -1 Do 8170 and 16/9 have different values? True Is 6964 at most as big as 48746/7? False Which is greater: -0.88 or -99? -0.88 Do 376 and 381 have the same value? False Do -0.49 and -1087/3 have different values? True Which is bigger: -2644 or 454? 454 Are 1/80557 and -1 nonequal? True Which is bigger: 2/7 or 1/3103? 2/7 Which is smaller: -1512623 or -1512622? -1512623 Is -220/1453 <= 1? True Is 51/4757 at most as big as 0? False Is -29568 < -29591? False Is -1 at most as big as 346/11515? True Is 2707 <= 2694? False Is 29574 at least as big as 236583/8? True Which is bigger: -1 or 2/1050485? 2/1050485 Which is greater: -47206/9 or -5244? -5244 Are 6946 and 6948 unequal? True Is 214 smaller than 11951/56? False Is 436 >= -8.5? True Is -1 at least as big as 90/8621? False Which is smaller: -11 or 861? -11 Are 1476 and 4/5 non-equal? True Is 15851 != 4? True Is -13686 smaller than -13688? False Which is smaller: -3119 or -3188? -3188 Which is smaller: 6671 or 6670? 6670 Is 88 > -14747? True Is 2.387 > 6/23? True Which is smaller: 97 or -1092? -1092 Is 130153 bigger than 650761/5? True Which is smaller: -532 or -0.198? -532 Which is smaller: -4519095 or 1? -4519095 Is 3567 < -7? False Is -8/9 not equal to -109? True Are 617 and -338/3 equal? False Which is bigger: -19 or -2988/163? -2988/163 Which is greater: -123325/4 or -30831? -30831 Is 668 less than 4797? True Which is smaller: 2573.9 or -1/3? -1/3 Is 5866 less than 5869? True Is 0.04 <= -254? False Which is greater: 0.06 or -22/13623? 0.06 Which is smaller: 3679 or -71? -71 Which is greater: -1/4060749 or -1? -1/4060749 Is -22038/11 bigger than -2004? True Is 24553 less than 24558? True Does 5867 = 2141? False Does 78968 = 78968? True Does 13191 = 197846/15? False Is -5 not equal to 528428? True Which is greater: -988 or -981? -981 Which is greater: 171160 or 171162? 171162 Is -18731/8 less than -2342? False Is -231/2495 less than 0? True Which is greater: 0.1 or -9386/5? 0.1 Is 2/7451 smaller than 0? False Which is smaller: -348 or -269? -348 Is 7277 greater than or equal to 7202? True Which is bigger: -24/227275 or -1? -24/227275 Is -192042 less than or equal to -192046? False Which is smaller: -2/3773421 or -1? -1 Is 0.2713 bigger than 1? False Which is greater: 113664/19 or 5981? 113664/19 Which is smaller: 12/1765 or -1? -1 Is 389597 < 389597? False Which is smaller: 327586 or 327591? 327586 Which is bigger: -39134 or -39135? -39134 Does 4/12449 = 1/4? False Does 1 = -1652.289? False Which is greater: 11138 or 55689/5? 11138 Is 78 < -1563? False Is 0.15 <= -4260? False Are 684 and 559 equal? False Which is smaller: -21/6026 or 1? -21/6026 Which is greater: 0 or -105/82? 0 Is -3.35 bigger than -106? True Which is greater: -11 or -83721? -11 Is 2.1121 > 1/2? True Which is smaller: 5 or -351/34? -351/34 Is -332113/5 greater than or equal to -66424? True Which is smaller: -147 or -33217/224? -33217/224 Which is greater: -1857 or -1296? -1296 Is -4288 != -4287? True Is -8525/4 equal to -2132? False Which is smaller: -5/3801244 or 1? -5/3801244 Which is greater: 366 or 414? 414 Is 913 > 1162? False Are 0 and -137/3644 non-equal? True Which is bigger: 14163 or 14162? 14163 Which is greater: 13464 or 13471? 13471 Is -1/2 greater than or equal to 7504.6? False Is -7551334 greater than 2? False Which is bigger: -36 or -0.4733? -0.4733 Which is greater: -210/61 or 66? 66 Which is bigger: -12.5 or -1442? -12.5 Is -11280 >= -11275? False Which is greater: 896 or 824? 896 Which is smaller: -3096 or -2985? -3096 Which is greater: -654 or -912? -654 Which is greater: 3100 or 2936? 3100 Are 190.29 and -4 nonequal? True Which is smaller: 0 or 297/421? 0 Which is greater: -370 or -418? -370 Which is smaller: 227/2 or 453? 227/2 Which is bigger: 4039/8 or 505? 505 Which is bigger: -0.2 or 328484? 328484 Is 2/664951 at most as big as -1? False Which is smaller: -16956 or -16962? -16962 Which is greater: 0.0285005 or 0.07? 0.07 Is 97040/87 less than 1115? False Which is bigger: -9.412 or -16? -9.412 Is -20 less than or equal to -74/27? True Are 98237 and 2 non-equal? True Is -80 equal to -79? False Does -10755 = -3? False Is 150 equal to 7053/47? False Does 12 = -1.69? False Which is greater: 383 or 1145/3? 383 Which is smaller: 29/40797 or 0? 0 Which is bigger: 110650 or 110642? 110650 Which is smaller: -34/84981 or -1? -1 Is -948/241 != 0.2? True Which is greater: 5/6894 or 0? 5/6894 Are 4/11 and 5806 unequal? True Does -623 = 0.09? False Which is smaller: -75143/2 or -37573? -37573 Which is smaller: -269 or -96? -269 Is -20 bigger than -22? True Are -47253 and -236262/5 unequal? True Is 33/8266 less than 1? True Which is greater: 131957 or 131960? 131960 Which is smaller: -26391/490 or -55? -55 Is 0 greater than 118208/13? False Which is bigger: 177741 or 177742? 177742 Are 461 and 488 nonequal? True Which is smaller: -408171 or 2/9? -408171 Is 5264 less than or equal to 5244? False Which is smaller: 10/3 or 5.78? 10/3 Do 0.3 and 2.1454 have the same value? False Is -632504 greater than -632503? False Which is smaller: 399/151 or 0? 0 Which is smaller: 0.1 or -20543? -20543 Which is bigger: 0 or 23/74829? 23/74829 Is 14 at least as big as 45179? False Which is smaller: 52 or 3692/73? 3692/73 Is -3/969850 >= 0? False Are -8804 and -8808 non-equal? True Is 28276/13 > 2176? False Which is smaller: -0.05 or -2642/5? -2642/5 Are -311 and -266 non-equal? True Is 0.13 smaller than -2/171? False Is 11466 bigger than 11466? False Which is smaller: -2/67175 or 1? -2/67175 Which is smaller: 113000/59 or 1915? 1915 Is 0 greater than -1/227816? True Is 0 greater than 35/1489? False Which is bigger: -14/41 or -282? -14/41 Is 431345 at least 431339? True Is 4/159543 smaller than 1? True Which is smaller: -151130/11 or -13738? -151130/11 Is -23767 >= -23769? True Which is bigger: 2 or 5760? 5760 Do 0.327 and -15870 have different values? True Which is greater: 249 or 0? 249 Which is bigger: -49 or -1967/40? -49 Do -0.4 and -442697 have the same value? False Is 0 equal to -2/2410961? False Is 6740 <= -243? False Is -2 greater than 427? False Are 324 and 80 nonequal? True Which is smaller: 29736 or 29737? 29736 Which is bigger: 173997 or 173992? 173997 Is 1 > 76/277? True Which is smaller: -2665 or -42653/16? -42653/16 Which is smaller: -0.03773 or 130? -0.03773 Which is smaller: 15/22 or -2144? -2144 Which is greater: -1 or -1/867008? -1/867008 Which is bigger: 8835 or 8837? 8837 Are -13472 and -13472 non-equal? False Which is smaller: 0 or 10/15311? 0 Which is smaller: -4489 or -4395? -4489 Which is smaller: -1 or 38/135? -1 Which is greater: -1138 or -21? -21 Which is bigger: -315643 or -315641? -315641 Which is bigger: 1633841 or 163384
{ "pile_set_name": "DM Mathematics" }
9*n**4/2 - 403*n**3/2 - 1152*n**2 - 1146*n - 200 = 0. Calculate n. -4, -1, -2/9, 50 Factor -2*q**2/9 + 98*q/3 - 1188. -2*(q - 81)*(q - 66)/9 Factor -2*z**2/5 + 112*z + 1128/5. -2*(z - 282)*(z + 2)/5 Find l such that -l**2/5 + 33002*l/5 - 98997/5 = 0. 3, 32999 Factor -4*t**2 + 1664*t - 24060. -4*(t - 401)*(t - 15) Solve -30*m**3 - 895*m**2 - 4170*m + 720 = 0 for m. -24, -6, 1/6 Factor -a**2/6 - 45131*a/6 - 22565/3. -(a + 1)*(a + 45130)/6 Solve -s**5/4 + 33*s**4 + 18567*s**3/4 + 170613*s**2/2 - 1551879*s + 5196798 = 0 for s. -51, 6, 222 What is v in v**5/7 + 40*v**4/7 + 299*v**3/7 + 620*v**2/7 = 0? -31, -5, -4, 0 Suppose -h**3 - 1949*h**2 - 1946*h + 3896 = 0. Calculate h. -1948, -2, 1 Determine y, given that -3*y**3 + 738*y**2 - 3507*y - 26028 = 0. -4, 9, 241 Factor a**2/2 - 70107*a/2. a*(a - 70107)/2 Factor -j**2 - 74934*j - 1403776089. -(j + 37467)**2 Factor -4*i**3 + 344*i**2 + 4406672*i + 1659729312. -4*(i - 1242)*(i + 578)**2 Factor 2*t**3 + 220*t**2 + 1854*t + 3636. 2*(t + 3)*(t + 6)*(t + 101) Factor -t**4/5 - 102*t**3 - 60817*t**2/5 + 214608*t - 4426816/5. -(t - 8)**2*(t + 263)**2/5 Let -2724*i**5 + 8180*i**4 + 62628*i**3 + 89708*i**2 + 37872*i - 112 = 0. What is i? -2, -1, 2/681, 7 Factor -5*y**2 + 53695*y - 536450. -5*(y - 10729)*(y - 10) Factor -2*c**2/23 - 62*c/23 - 456/23. -2*(c + 12)*(c + 19)/23 Factor 3*o**3 + 26892*o**2 + 214992*o + 429888. 3*(o + 4)**2*(o + 8956) Factor 3*v**3/4 + 273*v**2/4 - 52452*v - 7291107. 3*(v - 281)*(v + 186)**2/4 Find h such that 3*h**2 - 8040*h - 359568 = 0. -44, 2724 Factor d**3 + 5266*d**2 - 36905*d + 31638. (d - 6)*(d - 1)*(d + 5273) Suppose -i**3/2 - 30*i**2 + 949*i/2 = 0. Calculate i. -73, 0, 13 Suppose -s**4/6 - 5*s**3/6 + 24*s**2 - 242*s/3 + 224/3 = 0. What is s? -16, 2, 7 Suppose -4*k**5 - 12*k**4 + 916*k**3 - 1988*k**2 - 42336*k + 175616 = 0. What is k? -16, -8, 7 Determine d, given that -2*d**5/9 + 52*d**4/9 - 94*d**3/3 - 152*d**2/9 + 760*d/9 + 64 = 0. -1, 2, 8, 18 Factor -2*b**2 - 2070*b + 10400. -2*(b - 5)*(b + 1040) Suppose 2*c**2/11 + 12946*c/11 - 12948/11 = 0. What is c? -6474, 1 Factor -4*x**5 - 1320*x**4 - 5216*x**3. -4*x**3*(x + 4)*(x + 326) Factor -3*u**3 - 711*u**2 - 2781*u + 3495. -3*(u - 1)*(u + 5)*(u + 233) Factor -2*n**3/19 + 14260*n**2/19 - 14258*n/19. -2*n*(n - 7129)*(n - 1)/19 Find w, given that 29584*w**3/7 + 317168*w**2/7 + 217124*w/7 + 38440/7 = 0. -10, -31/86 Factor 2*h**5 - 10*h**4/7. 2*h**4*(7*h - 5)/7 Solve -5*h**4 + 11865*h**3 - 82805*h**2 - 11865*h + 82810 = 0. -1, 1, 7, 2366 Find c, given that -3*c**4/2 - 321*c**3 - 35595*c**2/2 - 66150*c = 0. -105, -4, 0 Suppose 4*l**2 - 74436*l - 74440 = 0. What is l? -1, 18610 Solve -4*r**2 - 37004*r + 111048 = 0 for r. -9254, 3 What is u in 4*u**2 + 1224*u - 55360 = 0? -346, 40 Determine a so that 24*a**5 + 957*a**4 + 816*a**3 - 117*a**2 = 0. -39, -1, 0, 1/8 Suppose -36*v**4 - 1252*v**3 - 3257*v**2 - 1806*v + 576 = 0. What is v? -32, -3/2, 2/9 Factor -n**2 - 63164*n - 63163. -(n + 1)*(n + 63163) Determine r so that -r**5 + 1776*r**4 - 35252*r**3 + 232112*r**2 - 562176*r + 449536 = 0. 2, 8, 1756 Factor 2*s**3/5 - 66*s**2/5 - 392*s/5 + 18816/5. 2*(s - 28)*(s - 21)*(s + 16)/5 Solve 2*x**5/3 + 1292*x**4/3 + 75254*x**3 + 1821864*x**2 + 6110784*x = 0. -309, -24, -4, 0 Suppose -5*o**5 + 5*o**4 + 335*o**3 - 965*o**2 + 630*o = 0. What is o? -9, 0, 1, 2, 7 What is j in -12328*j**2/7 + 3106*j/7 - 6/7 = 0? 3/1541, 1/4 Solve -115*y**5/3 - 11386*y**4/3 + 83966*y**3/3 - 132784*y**2/3 + 59789*y/3 + 530/3 = 0 for y. -106, -1/115, 1, 5 Determine v so that 2*v**3 - 1876*v**2 - 15136*v = 0. -8, 0, 946 What is g in 2*g**4/13 + 112*g**3/13 - 3804*g**2/13 + 19584*g/13 - 27702/13 = 0? -81, 3, 19 Factor -l**3/4 + 360*l**2 - 519837*l/4 + 516961/2. -(l - 719)**2*(l - 2)/4 Determine u, given that -u**4/5 + 617*u**3/5 - 3186*u**2 = 0. 0, 27, 590 Factor 4*t**3/3 - 3764*t**2/3 + 26176*t/3 - 7472. 4*(t - 934)*(t - 6)*(t - 1)/3 Factor -2*p**4 - 694*p**3 - 65072*p**2 - 826680*p. -2*p*(p + 15)*(p + 166)**2 Find t such that -5*t**3 + 14080*t**2 + 542075*t + 527990 = 0. -37, -1, 2854 Factor -3*o**3/4 - 2895*o**2/4 + 3*o/4 + 2895/4. -3*(o - 1)*(o + 1)*(o + 965)/4 Factor 3*v**2 + 3423*v - 31050. 3*(v - 9)*(v + 1150) Determine s so that 2*s**2/9 + 14320*s/9 + 42798 = 0. -7133, -27 Let 4*g**2 + 144440*g + 1303932100 = 0. What is g? -18055 Find m, given that 81*m**3/5 + 42642*m**2/5 + 3788*m + 2104/5 = 0. -526, -2/9 Factor -2*u**2/5 - 180*u - 1792/5. -2*(u + 2)*(u + 448)/5 Let -2*l**3 + 504*l**2 - 24186*l - 1004692 = 0. Calculate l. -26, 139 Factor 3*r**2 - 4753290*r + 1882813818675. 3*(r - 792215)**2 Solve 50625*u**4 - 354075*u**3 - 2319*u**2 + 1527*u + 42 = 0. -1/25, 2/27, 7 Determine v so that -2*v**3 + 296*v**2 - 1418*v - 1716 = 0. -1, 6, 143 Suppose 141*n**2 + 135*n - 294 = 0. What is n? -2, 49/47 Factor -3*r**2/2 + 2544*r - 1298637/2. -3*(r - 1383)*(r - 313)/2 Determine j so that -41*j**4/3 - 947*j**3/6 - 884*j**2/3 + 341*j/2 + 9 = 0. -9, -3, -2/41, 1/2 Solve 4*h**2 - 479296*h + 14357790976 = 0. 59912 Suppose a**4/6 - 23*a**3/6 - 103*a**2/2 + 981*a/2 + 4698 = 0. What is a? -9, 12, 29 What is i in 507*i**4/2 - 34827*i**3/2 - 161532*i**2 - 48462*i - 3696 = 0? -8, -2/13, 77 Find i, given that 3*i**3 + 15*i**2 - 108*i - 540 = 0. -6, -5, 6 Find w such that -36*w**4/7 + 212388*w**3/7 + 283292*w**2/7 - 259652*w/7 + 6744 = 0. -2, 1/3, 5901 Find l, given that 5547*l**3 + 61533*l**2 + 225504*l + 272484 = 0. -174/43, -3 Suppose v**4 + 5998*v**3 + 17988*v**2 + 17986*v + 5995 = 0. Calculate v. -5995, -1 Let -2*z**2 - 86*z - 240 = 0. Calculate z. -40, -3 Factor -2*m**2/11 - 216*m/11 + 1130/11. -2*(m - 5)*(m + 113)/11 Suppose -15*a**5 - 9393*a**4 - 7357017*a**3/5 - 1439499*a**2/5 + 939000*a - 1175628/5 = 0. What is a? -313, -1, 2/5 Factor -99*z**2 - 2697*z - 3198. -3*(z + 26)*(33*z + 41) Suppose -50*u**5 - 64465*u**4 + 109815*u**3 + 103195*u**2 - 109765*u - 38730 = 0. What is u? -1291, -1, -3/10, 1, 2 Factor u**2/5 + 317116*u/5 + 25140639364/5. (u + 158558)**2/5 Find k, given that 3*k**5 + 204*k**4 - 27*k**3 - 1836*k**2 = 0. -68, -3, 0, 3 Factor -2*m**2/7 + 10*m/7 + 17100/7. -2*(m - 95)*(m + 90)/7 Let -4*b**4 + 3732*b**3 - 1081920*b**2 + 100086800*b = 0. What is b? 0, 230, 473 Let 4*i**2 + 400*i - 36656 = 0. What is i? -158, 58 Factor 2*a**3/7 - 144*a**2/7 - 2360*a/7 - 4128/7. 2*(a - 86)*(a + 2)*(a + 12)/7 Factor 2*f**2/7 - 88716*f/7. 2*f*(f - 44358)/7 What is i in 5*i**3 + 3170*i**2 + 529760*i + 8537760 = 0? -308, -18 Suppose -3*g**4 - 3030*g**3 + 6072*g**2 = 0. What is g? -1012, 0, 2 Find a, given that -a**4 - 68*a**3 - 131*a**2 + 68*a + 132 = 0. -66, -2, -1, 1 Factor 4*t**4 + 12968*t**3 + 38868*t**2. 4*t**2*(t + 3)*(t + 3239) Determine d so that 2*d**2 - 735184*d + 67561939232 = 0. 183796 Determine h, given that -2*h**3/5 + 1088*h**2/5 - 798*h - 35640 = 0. -11, 15, 540 Factor 2*i**3/3 + 500*i**2/3 - 2056*i/3 - 2032. 2*(i - 6)*(i + 2)*(i + 254)/3 Find k such that 4*k**3/5 + 1928*k**2/5 - 40436*k/5 - 138552/5 = 0. -502, -3, 23 Find n such that -14*n**3/13 + 264464*n**2/13 + 717910*n/13 + 453432/13 = 0. -12/7, -1, 18893 Let -2*d**2/7 + 19382*d/7 = 0. What is d? 0, 9691 Solve u**2/2 + 12339*u + 152250921/2 = 0 for u. -12339 Find t such that 4*t**2 + 33892*t - 33896 = 0. -8474, 1 Suppose -6*q**4/17 - 320*q**3/17 - 4872*q**2/17 - 19648*q/17 + 15360/17 = 0. Calculate q. -30, -16, -8, 2/3 Factor -2*m**4 + 62*m**3 - 448*m**2 - 512*m. -2*m*(m - 16)**2*(m + 1) Factor 23*b**2 - 181*b/3 - 380/3. (b - 4)*(69*b + 95)/3 Determine x, given that -x**4/9 + 2*x**3/9 + 17*x**2/3 + 12*x = 0. -4, -3, 0, 9 Factor -2*x**3 - 1750*x**2 + 173522*x - 171770. -2*(x - 89)*(x - 1)*(x + 965) Find h, given that 2*h**2/7 - 1158*h/7 - 17856 = 0. -93, 672 Factor -4*r**2 - 1532*r + 67680. -4*(r - 40)*(r + 423) Find o such that -2*o**4 + 2916*o**3 - 1059962*o**2 - 2128680*o - 1065800 = 0. -1, 730 Find m such that -2*m**4/3 - 30*m**3 + 764*m**2/3 + 624*m = 0. -52, -2, 0, 9 Let -18*m**5/5 - 777*m**4/5 - 444*m**3 + 480*m**2 = 0. What is m? -40, -4, 0, 5/6 Let -z**5/4 - 15*z**4/4 - 9*z**3 + z**2 + 12*z = 0. What is z? -12, -2, 0, 1 Determine n, given that 5*n**4 + 5675*n**3 + 1641190*n**2 + 17540020*n + 47376600 = 0. -562, -6, -5 Factor 3*a**2 - 1140516*a + 108398062188. 3*(a - 190086)**2 What is w in -2*w**4/15
{ "pile_set_name": "DM Mathematics" }
. Let b(x) = 2*x. What is r(b(v))? -18*v Let v(u) = -6*u. Let m(t) = 124*t**2. Calculate m(v(y)). 4464*y**2 Let x(l) be the second derivative of l**4/4 + 2*l. Let z(m) = m. Calculate x(z(v)). 3*v**2 Let z(k) = 4*k - 5. Let f(q) = q - 1. Let l(j) = 5*f(j) - z(j). Let v(c) be the second derivative of c**4/3 - 3*c. Determine l(v(s)). 4*s**2 Let w(k) be the first derivative of 0*k + 0*k**2 + 5 + 4/3*k**3. Let g(v) be the third derivative of -v**5/30 + v**2. What is w(g(d))? 16*d**4 Let o(c) = c. Let b be (-4)/5*35/(-14). Let f(d) = -3*d**2 + d**b + d**2. What is f(o(p))? -p**2 Let z(n) = -30*n - 11. Let x(i) = 5*i**2. What is z(x(r))? -150*r**2 - 11 Let o(p) = 5*p + 6. Let k(n) = 11*n + 13. Let r(i) = -6*k(i) + 13*o(i). Let d(u) = 10*u. Calculate d(r(y)). -10*y Let y(k) = 2*k. Let c(q) = 17*q - 1. What is c(y(u))? 34*u - 1 Let a(t) = 13*t**2. Let h(y) = 3*y - y**2 + 0*y - 3*y. Calculate h(a(n)). -169*n**4 Let o(h) = 2*h**2. Let q(k) = k - 6. Let w be q(6). Suppose w = -0*u - u. Let n(r) = 3*r + u*r - 7*r. Calculate n(o(j)). -8*j**2 Let d(f) = f**2. Let r(b) = -68*b**2 + 17*b. Let i(o) = 23*o**2 - 6*o. Let t(w) = -17*i(w) - 6*r(w). Calculate t(d(m)). 17*m**4 Let p(r) = -r**2. Let l(v) = -13*v**2. Let g(i) = l(i) - 6*p(i). Let u(y) = -y. Give g(u(f)). -7*f**2 Let y(t) be the third derivative of t**4/12 + t**2. Let b(o) be the first derivative of 0*o**2 - 2 + 0*o + 4/3*o**3. What is b(y(j))? 16*j**2 Let p(a) be the third derivative of -a**5/30 - 5*a**2. Let k(q) = -4*q. What is k(p(l))? 8*l**2 Let y = 3 + 1. Let i(k) = 2*k + k - y*k. Let t(q) = -q**2. What is t(i(a))? -a**2 Let u(b) be the first derivative of -2*b**3/3 + 28. Let t(y) = y - 13*y**2 - y. What is u(t(h))? -338*h**4 Let j(t) = -213*t**2. Let x(i) = 2*i**2. What is x(j(d))? 90738*d**4 Let f(n) = -n - 1. Let a(c) = 7*c**2 + 35*c + 35. Let s(o) = -a(o) - 35*f(o). Let d(b) = -5*b. Calculate s(d(m)). -175*m**2 Let m(d) = -1. Let b(h) = h - 4. Let y(g) = -b(g) + 4*m(g). Let o = 0 + 4. Let w(q) = -2 - o*q + 2. Determine w(y(p)). 4*p Let o(x) = 2*x**2. Let b(z) be the third derivative of -z**6/180 + z**3/2 + 3*z**2. Let p(m) be the first derivative of b(m). Determine p(o(d)). -8*d**4 Let c(v) = -2*v**2 + 2989. Let u(i) = i. Give c(u(r)). -2*r**2 + 2989 Let p(g) = g. Let w(j) = j**2 + 4*j + 2. Let t be w(-4). Suppose -4*r + 9 = 1. Let a(k) = 0*k**t + k**2 + k**r. Determine a(p(d)). 2*d**2 Let h(s) = -11*s**2 - 8*s + 8. Let p(j) = 2*j**2 + 3*j + 6*j**2 - 3 - 2*j**2 - 2*j**2. Let o(l) = 3*h(l) + 8*p(l). Let m(z) = 2*z**2. Determine o(m(f)). -4*f**4 Let p(z) be the first derivative of -3*z**2 + 1. Let n(c) = -8*c**2 - 6. Let x(u) = 7 + 5*u + 9*u**2 - 5*u. Let w(q) = -7*n(q) - 6*x(q). Give p(w(s)). -12*s**2 Let t(w) = -8*w. Let l(d) = -15*d**2. Calculate t(l(x)). 120*x**2 Let j(s) = -16*s**2. Let p(f) = 9*f + 10. Let m(v) = -5*v - 4. Let y(w) = 5*m(w) + 2*p(w). Give y(j(r)). 112*r**2 Let d(a) = -2*a. Let u be 2/(-8) - 34/(-8). Let k(q) = 4 + 0 + 1 + u*q + 1. Let v(y) = 7*y + 11. Let t(l) = -11*k(l) + 6*v(l). Give d(t(m)). 4*m Let z(j) = 12*j. Let g(s) be the third derivative of -s**4/24 + 18*s**2. Determine g(z(w)). -12*w Let d(o) be the second derivative of -o**3/3 - o. Let w(u) = -4*u. What is d(w(t))? 8*t Let r(p) = -1 - 4*p + 6*p + 1. Let u(v) = -v. Give u(r(n)). -2*n Let y(f) be the first derivative of f**4/12 + f - 2. Let r(l) be the first derivative of y(l). Let b(o) = -2*o**2. Give r(b(s)). 4*s**4 Let x(a) = 4*a**2. Let r(p) = -166*p**2. What is x(r(h))? 110224*h**4 Let x(z) = -9*z. Let h(r) = 930*r**2. Calculate x(h(s)). -8370*s**2 Let q(l) be the first derivative of 2 + 0*l**2 + 0*l + 1/3*l**3. Let x(c) be the third derivative of c**4/12 + 2*c**2. Give x(q(f)). 2*f**2 Let k(w) = -21*w**2. Let h(x) = 52*x - 4. What is k(h(n))? -56784*n**2 + 8736*n - 336 Let s(v) = 4*v**2. Let y(j) be the second derivative of 5*j**4/6 + 7*j. Give y(s(r)). 160*r**4 Let l(c) be the third derivative of c**4/6 - 35*c**2. Let j(r) = -2*r**2. Give j(l(q)). -32*q**2 Let m(x) = x + 6. Let h be m(-4). Let d(l) = h*l + l - 1 + 1. Let s(j) be the second derivative of j**3/6 + j. Determine s(d(n)). 3*n Suppose -5 = -5*r, -5*p + 13 = -2*r - 0. Let j(m) = 2 + 2*m - 2 - p*m. Let g(y) = 1. Let n(s) = 3*s - 18. Let h(w) = -18*g(w) - n(w). Determine h(j(z)). 3*z Let a(m) = 2*m**2. Let n(q) = -q**2. Let j(w) = -w - 1. Let y be j(2). Let u(c) = y*a(c) - 4*n(c). Let k(v) = 3*v**2 - 3*v**2 + v**2. What is k(u(x))? 4*x**4 Let u(t) = -t. Let g(w) = w**3 + w**2 - w. Let r be g(-1). Let h(d) = 1 - r + 16*d - 15*d. Give u(h(x)). -x Let j(c) be the first derivative of 4*c**3/3 + 1. Let h(q) = 2*q. Calculate j(h(d)). 16*d**2 Let u(i) be the second derivative of i**4/4 + i. Let x(d) = -2*d**2. Calculate u(x(b)). 12*b**4 Let u(n) = -13*n. Let z(c) = 33*c. Determine z(u(d)). -429*d Let l(n) be the third derivative of -n**8/6720 - n**5/15 - 3*n**2. Let q(m) be the third derivative of l(m). Let h(v) = 2*v. Calculate q(h(u)). -12*u**2 Let z(i) = 2*i. Let f(y) = -4*y. Let s(t) = 3*f(t) + 7*z(t). Suppose 3*x + b - 3 = 0, -5*x + 3 = 2*b - 1. Let h(v) = 0*v**x + 4*v**2 - 6*v**2. What is s(h(a))? -4*a**2 Let o(q) = -q**2. Suppose 5*b + 4*c = -7, 5*b + 0*c + c = 2. Let l(d) = 21*d**3 - 2*d**2 + d. Let j be l(b). Let y(s) = j - 2*s - 20. What is y(o(x))? 2*x**2 Let o(s) = 2*s**2. Let x(g) = 7*g**2 + 6*g - 3. Let y(f) = 133*f**2 + 112*f - 56. Let d(v) = 56*x(v) - 3*y(v). Calculate d(o(r)). -28*r**4 Let h(l) = l**3 - 6*l**2 + 5*l + 2. Let u be h(5). Let q(n) = 23 - 23 - u*n**2. Let x(m) = 2*m**2. Give q(x(b)). -8*b**4 Let j(i) = -5*i + 5*i + 4*i**2. Let g(d) = d**2 + 0*d**2 - 2*d**2. What is j(g(q))? 4*q**4 Let z(s) = -s - 21. Let g(j) = j**2. Determine z(g(l)). -l**2 - 21 Let f(s) be the first derivative of s**3 - 13. Let l(a) = 0 + a**2 + 0. Determine f(l(o)). 3*o**4 Let z(r) = 2*r - 118. Let j(s) = -10*s. Give j(z(v)). -20*v + 1180 Let v(o) = 4*o + 2. Let r(s) = 3 + s + s + 3*s. Let i(j) = -4*r(j) + 6*v(j). Let k(m) be the first derivative of m**2 - 19. Calculate k(i(x)). 8*x Suppose -5*g + 6 + 24 = 0. Let t(h) = h + h - g*h + 3*h. Let i(y) be the second derivative of y**3/6 - y. What is t(i(v))? -v Let s(p) = 3*p**2. Let c(g) = g**2 + g - 4. Let q be c(-3). Let m(a) = 2*a**q - 3*a**2 - a**2 + a**2. Calculate m(s(i)). -9*i**4 Let c(u) = -u**2. Let m(h) = -3372*h**2. Give m(c(w)). -3372*w**4 Let u(k) = -6*k**2. Let x(w) = -10*w - 3*w + 11*w. Determine x(u(c)). 12*c**2 Let y(l) = l. Let s(v) = -43*v**2 + 1. What is y(s(p))? -43*p**2 + 1 Let t be (-7)/(-3)*(1 - -2). Suppose -5*m = -t - 3. Let h(u) = -2*u**2 - 4*u**m + 22*u - 22*u. Let g(a) = -a**2. What is g(h(n))? -36*n**4 Let w(a) = 5*a**2. Let d be (-3 + 0)/((-1)/1). Let j(f) = -f**2 - 2*f**2 + d*f**2 + f**2. What is w(j(v))? 5*v**4 Let a(y) be the second derivative of -2*y**3/3 - 35*y. Let w be 2 - 0*(-2)/(-2). Let o(t) = t**2 - 2*t**w - t**2. Calculate a(o(x)). 8*x**2 Let a(p) = -p. Let j(d) = d + 4*d - 5*d - d. Calculate j(a(x)). x Let m(q) = 2*q - 3 + 3. Let h(b) be the third derivative of -b**4/8 + b**2. Determine m(h(c)). -6*c Let m = 0 + 6. Let h(p) = -4*p**2 - 11. Let a(s) = -s**2 - 3. Let v(t) = m*h(t) - 22*a(t). Let y(o) = 2*o. Give v(y(l)). -8*l**2 Let o(j) = j. Let y(n) = 3912*n**2. Determine y(o(l)). 3912*l**2 Let y(f) = 2*f**2. Let n(b) = -b + 3*b + 3 + 8 - 4. Determine n(y(c)). 4*c**2 + 7 Let f(q) be the first derivative of -2 + 0*q + 2/3*q**3 + 0*q**2. Let a(b) = 12*b**2. Give a(f(p)). 48*p**4 Let p(a) = -4*a**2 - 3*a + 3. Let c(t) = -t**2 - t + 1. Let h = 7 + -8. Let r(q) = h*p(q) + 3*c(q). Let l(j) = -4 + 4 + 5*j. What is r(l(w))? 25*w**2 Let i(p) = 4*p**2. Let t(o) be the third derivative of -o**8/20160 - o**5/20 + 2*o**2. Let n(h) be the third derivative of t(h). What is i(n(z))? 4*z**4 Let f(h) = -2*h. Let r(w) = -142*w - 138*w + 160*w. Determine f(r(j)). 240*j Let g(a) be the second derivative of -a**3/3 + a. Let o(i) be the third derivative of -i**4/8 + 94*i**2. Determine g(o(q)). 6*q Let n(w) be the first derivative of w**3/3 + 2. Let m(y) = 155*y. Let u(f) = -11*f. Let o(d) = 6*m(d) + 85*u(d). Determine o(n(s)). -5*s**2 Let y(i) = i. Let m(d) = 3*d + 47. Let u be m(-15). Let a(v) be the second derivative of 3*v + 0*v**u + 1/2*v**3 + 0. Calculate y(a(w)). 3*w Let p(g) =
{ "pile_set_name": "DM Mathematics" }
t j(u) = -2*u**2 - 22*u - 36. Let b be j(-10). What is the tens digit of (-104)/b - 6 - (-119)/2? 6 Suppose -m + 8*m = 30989. Suppose 3*y - 4*t = 5272, -4*y = -3*t - m - 2614. What is the thousands digit of y? 1 Let o = -1 - 73. What is the tens digit of o/333 - (-659)/9? 7 What is the hundreds digit of -4 + 11 - (-3)/(-6)*-17234? 6 Let a(r) be the second derivative of -1/20*r**5 + 1/2*r**2 - 2*r**3 + 0 + r + 11/12*r**4. What is the tens digit of a(8)? 9 Let o = -201 + 203. What is the hundreds digit of (-11)/(-3)*3/o*30? 1 Suppose 0 = -6*h - 5860 + 23422. Suppose -4*g + q + 342 + h = 0, 3*g - q - 2453 = 0. What is the units digit of g? 6 Let h(q) = 3*q**2 - 120*q + 819. What is the units digit of h(62)? 1 Suppose -8*o + 402 = -4*o - 2*y, 4*o - y - 407 = 0. Let t = o - -1453. What is the thousands digit of t? 1 Let j(g) = 8*g**3 + 18*g**2 + 73*g - 879. What is the thousands digit of j(16)? 7 Let o = 9496 - -1480. What is the units digit of o/26 + (-60)/390? 2 Let l be (-2)/4 + (-151)/2. Suppose 1013*z - 2235 = 998*z. Let v = l + z. What is the units digit of v? 3 Let t(y) = 74408*y**3 - 2*y**2 + 46*y - 44. What is the tens digit of t(1)? 0 Let c(k) = -21*k**3 + 3*k**2 - 4*k - 8. Let a be c(-2). Let z = a + 192. What is the hundreds digit of z? 3 Let p = 225 + -212. Suppose p*a = 287 + 2573. What is the units digit of a? 0 Let b(w) = w - 3. Suppose 0 = 4*h + 4*g - 32, h - 2*g - 3 = -4. Let k be b(h). What is the tens digit of 1 - (30/k)/((-9)/18)? 3 Suppose 4951 = 4*r - 12*r + 59943. What is the tens digit of r? 7 Let w(f) = 1725*f**2 - 13*f + 23. What is the units digit of w(2)? 7 Let l = -7523 - -3923. What is the tens digit of l/270*(-30)/4? 0 Let t(i) = -i**2 - 38*i - 351. Let n be t(-17). Let m be 1 - (1*-2 - 210). Suppose -195 = -n*c + m. What is the tens digit of c? 6 Suppose w - 3*s = -51, -5*w + 2*s - 58 = 145. Let n(p) = -p**2 - 42*p - 39. What is the units digit of n(w)? 8 Let w = -401 + 414. Suppose -w*p = -16462 + 5113. What is the tens digit of p? 7 Suppose -19*n - 2*k + 16894 = -15*n, -k = -5*n + 21128. What is the tens digit of n? 2 Let d be 36 - (8/(-3))/((-28)/42). Suppose 6529 + 4063 = d*q. What is the units digit of q? 1 Suppose j + 22 = 12*j. Suppose 113 = 4*l - 3*v, 0 = 4*l - 3*v - j*v - 111. What is the tens digit of l? 2 Suppose -1099*q = -1127*q + 939344. What is the ten thousands digit of q? 3 Suppose 3*r = 5*k + 244, -4*r + k = -3*r - 80. Let z = 108 - r. What is the units digit of z? 0 Suppose -j = -5*j + 88. Suppose 5*h - 2*v + 7 = 0, -2*h + 0*h - 4*v = j. What is the units digit of ((-44)/h)/2*12? 8 Let k = -487 - -996. What is the hundreds digit of k? 5 What is the hundreds digit of ((-45008)/6)/(14/(-21))? 2 Let s(y) = -10 + 2*y - 8*y + y. Suppose 4*t + 8 - 53 = 5*i, i - 5*t = -9. What is the units digit of s(i)? 5 Suppose 126 + 449 = -23*f. What is the tens digit of (-10)/4*(f + 7)? 4 Let y(d) = 322*d**3 + 4*d**2 + 18*d - 46. What is the units digit of y(2)? 2 Suppose 305*k + 7690202 - 19717572 = 0. What is the units digit of k? 4 Let p = 28044 - 7753. What is the tens digit of p? 9 Suppose 0 = -8*g + 13*g + 2220. Let o = g + 623. What is the units digit of o? 9 Suppose -17*x - 72033 = -4*p - 20*x, -3*p + 2*x = -54046. What is the hundreds digit of ((-4)/(-6))/(19/p)? 6 Let n(h) = -3*h - 4. Let u be n(-2). What is the hundreds digit of 0 + (309/u)/((-4)/(-24))? 9 Suppose 0 = -7*y + 29*y + 66. Let d(a) = -12*a**3 + a**2 - 5*a - 23. What is the tens digit of d(y)? 2 What is the tens digit of 1 + 4 + -2 + -2 + -4 + 51308? 0 Let x(a) = a**2 - 3*a - 6. Let d be x(-6). Let h = -2 + 5. Suppose -d = h*y - 459. What is the tens digit of y? 3 Suppose -66 = -2*h - 114. Let l be 1559/7 + (h/14 - -2). Let w = -154 + l. What is the tens digit of w? 6 Suppose 3*l + 12 = 6*l. Let n(t) = t + 13. Let s be n(-8). Suppose -943 = -l*f + s*a - 311, 467 = 3*f - 2*a. What is the units digit of f? 3 Suppose 2*z - 65330 = -4*v, 7*v - 5*v = z + 32659. What is the hundreds digit of v? 3 Let j = 14 + -34. Let a = 14 + j. What is the units digit of a/15 + 84/10? 8 Let l be -7 + -1 + (-4312)/(-11). Suppose -4*m + 2750 = -3*i - l, 5*m + i = 3927. What is the units digit of m? 5 Suppose -x - 9 = -45. Let m = x + -34. Suppose c = m*c + 2*v - 124, -c - 5*v = -121. What is the tens digit of c? 2 Let r be 8/2*(8 + -6). Let c be 4222/16 - 4/(-32). Suppose c = -2*o + r*o. What is the tens digit of o? 4 Let y be (-12)/4 - (-4 + 4665/5). Let l = 1321 + y. What is the hundreds digit of l? 3 Suppose 7 = 3*t - 14. Suppose 4*v - 77 = -t*v. What is the units digit of (42/10)/(((-7)/(-10))/v)? 2 Let v(g) = 12*g**2 - 15*g - 60. Let d(q) = -35*q**2 + 45*q + 179. Let u(b) = -3*d(b) - 8*v(b). What is the units digit of u(9)? 7 Suppose -69786 = 13*j - 14510. Let q = -2739 - j. What is the units digit of q? 3 Let y = 42 - 20. Let k = -10 + y. Suppose 215 = -7*z + k*z. What is the units digit of z? 3 Suppose -5*f - j + 31 = -3*j, -5*j = -f + 20. Suppose -5*s = -2*r + 137, -2*s = -f*r - 3*s + 410. What is the units digit of (-6 + r/6)*144/10? 8 Let g = -321 + 76. Let i = g - -252. What is the units digit of i? 7 Let d(j) = 737*j**2 - 20*j + 41. What is the thousands digit of d(3)? 6 Suppose 3*s - 10356 = 1308. What is the thousands digit of s? 3 Let a = 23307 - 16058. What is the thousands digit of a? 7 Let a = 73 + 2067. What is the hundreds digit of a? 1 Suppose 234 = -19*o + 310. Let q be 4 - (6/3 + -2). Suppose q*p = -o*k + 128, -4*k = -5*p + 6*p - 41. What is the units digit of p? 9 Let z(b) = 2*b - 42. Suppose 2*n - 48 = -4*r, n = -n + 4*r + 40. Let s be z(n). Suppose 4*l - 118 + 306 = s*c, -2*c + 174 = 3*l. What is the tens digit of c? 9 Let w(v) = 5159*v**3 - 19*v**2 + 21*v - 2. What is the units digit of w(1)? 9 Let k(r) = -6 + 149*r - 165*r + 60. What is the hundreds digit of k(-14)? 2 Let s(m) be the third derivative of -m**4/24 + 11*m**3/6 - 7*m**2. Let b be s(6). Suppose -240 = -b*r + 135. What is the tens digit of r? 7 What is the thousands digit of 13622 + (-42)/(-8) + 99/(-396)? 3 Let z(g) = -2*g**2 + g + 3. Let d be z(0). Suppose -5*c = 3*j + 515 - 1496, -1005 = -3*j + d*c. What is the tens digit of j? 3 Let h be (-2)/(2 - (-64)/(-30)). Suppose 9 + 9 = 2*v + 4*m, 5*v - h = 5*m. Suppose 52 = f - v. What is the units digit of f? 7 What is the ten thousands digit of (-66327)/((5 - (-78)/(-12))*2)? 2 Suppose 4 = -o + 5*o. Let x(v) = 132*v**2 + 5*v + 18. Let l(j) = 395*j**2 + 14*j + 49. Let s(g) = 4*l(g) - 11*x(g). What is the hundreds digit of s(o)? 1 What is the units digit of 6*(-7)/84 - (-2)/((-4)/(-34779))? 9 Suppose 0 = -3*m - r + 52657, 9*m - 52655 = 6*m - 2*r. What is the ten thousands digit of m? 1 Let d(m) = m**3 + 17*m**2 + 24*m + 35. Let v be d(-16). Let a = 207 + v. What is the units digit of a? 4 Suppose -3*f = 2*z - 206, -3*z + 3*f + 448 = z. Let j = z + 101. What is the tens digit of j? 1 Let n(c) = -326*c - 8 + 11*c**2 + 634*c - c**3 - 317*c. What is the units digit of n(8)? 2 Suppose 9 = 23*b + 9. Suppose -o + 2081 - 297 = b. What is the hundreds digit of o? 7 Let k be (-3)/(-6) + 49/(-2). Let g be (2/4 - 0) + 12/k. Suppose g = -2*x + 52 - 8. What is the units digit of x? 2 Suppose -10*b = -23446 - 11724. What is the hundreds digit of b? 5 Let o be 2894/42 - 4/(-42). Let z = 315 - o. What is the units digit of z? 6 Suppose 14*l - 3*l + 132 = 0. Let t be (5 - (-8)/l)*-3. Let o = t + 141. What is the tens digit of o? 2 Suppose -3*w + 210 = -3*n - 0*w, 0 = 4*n + 2*w + 250. Suppose d = -3*d - 432. Let h = n - d. What is the tens digit of h? 4 Suppose -276 + 51 = -9*v. Let x = v + -25. Suppose x = -f - 6*f + 735. What is the hundreds digit of f? 1 Suppose 4*g - 41 + 13 = 0. What is the units digit of 2538/21 + 1/g? 1 Suppose -5*o + 30610 = 5*h, -2*h - 7*o = -8*o - 12265. What is the tens digit of h? 2 Let t be (-1080)/(-96)*(-16)/6. What is the thousands digit of (2234 - t)*(-1)/(-2)? 1 Suppose -z + 5*z = 5*q - 216, 0 = -5*q. Let m be ((-4)/3 - -1)/(9/z). Suppose 2*a - 95 - 21 = m*f, 2*a = 3*f + 111. What is the units digit of a? 3 Suppose -4*a + 271 = 4*l - 313, 3*a - 5*l = 422. Let g = a + 70. What is the hundreds digit of g? 2 Suppose -374 = 11*c + 4774. Let b = 713 + c. What is the hundreds digit of b? 2 Suppose -118*y + 450213 + 15
{ "pile_set_name": "DM Mathematics" }
28142482. 102 Calculate the greatest common divisor of 10674 and 1758. 6 Calculate the greatest common factor of 522 and 5161536. 522 Calculate the highest common factor of 908939 and 438277. 2159 Calculate the greatest common factor of 16168437 and 18029. 149 Calculate the highest common factor of 3458131 and 5254. 37 What is the highest common divisor of 141011788 and 916? 916 What is the greatest common divisor of 91750208 and 2544? 848 Calculate the highest common divisor of 475 and 284643275. 475 What is the greatest common factor of 25616376 and 24? 24 Calculate the highest common divisor of 60 and 48948555. 15 Calculate the greatest common divisor of 79990690 and 195. 65 Calculate the highest common divisor of 2454130 and 2030. 70 What is the greatest common factor of 1666 and 1315356? 98 What is the highest common divisor of 616 and 3029015? 11 Calculate the greatest common divisor of 5024 and 1113444. 628 What is the highest common divisor of 952 and 17124338? 238 What is the greatest common divisor of 914400 and 181800? 1800 What is the greatest common divisor of 56885 and 2716375? 155 Calculate the greatest common factor of 854265228 and 2878. 2878 What is the highest common factor of 370 and 999230? 10 Calculate the greatest common factor of 401481 and 1359. 9 Calculate the highest common factor of 714 and 10612692. 102 What is the highest common divisor of 165123 and 22527? 9 What is the greatest common factor of 6322230 and 279396? 3582 Calculate the highest common divisor of 1995171 and 4080. 51 Calculate the greatest common factor of 1053 and 387472410. 1053 Calculate the greatest common divisor of 548169 and 587404. 1121 Calculate the greatest common divisor of 103506 and 6058. 26 Calculate the highest common factor of 63 and 2295825399. 63 What is the highest common divisor of 11001662 and 3546? 394 Calculate the greatest common divisor of 151 and 1877334378. 151 What is the greatest common factor of 240 and 153405690? 30 What is the highest common factor of 201227 and 44551? 299 Calculate the greatest common factor of 3688 and 13369. 461 Calculate the highest common divisor of 524 and 23647334. 262 Calculate the highest common factor of 22200 and 54279. 111 Calculate the greatest common divisor of 694540385 and 517. 517 What is the highest common divisor of 73276 and 80724? 28 Calculate the greatest common divisor of 258727628 and 89. 89 What is the highest common factor of 4292316 and 3066? 42 Calculate the highest common divisor of 3015 and 1058580. 45 What is the greatest common divisor of 10096 and 7275430? 1262 What is the greatest common factor of 87870688 and 160? 32 What is the greatest common divisor of 91314 and 61670770? 3382 Calculate the highest common divisor of 6042 and 599589. 159 Calculate the greatest common divisor of 19033 and 105015937. 2719 Calculate the highest common factor of 21450 and 717450. 150 What is the highest common factor of 396680284 and 2548? 2548 Calculate the greatest common factor of 252397 and 514679. 659 What is the greatest common divisor of 25547888 and 32? 16 What is the highest common factor of 25576 and 1787123? 3197 Calculate the greatest common divisor of 3566240 and 14012. 124 What is the highest common divisor of 5955800272 and 16? 16 Calculate the greatest common factor of 32 and 18474352. 16 What is the greatest common factor of 12 and 6639510? 6 What is the highest common divisor of 16 and 38971928? 8 What is the greatest common factor of 2795975 and 17150? 175 What is the highest common divisor of 5629448 and 4131? 17 Calculate the greatest common divisor of 5667001 and 1445. 289 What is the greatest common divisor of 5012040 and 10560? 1320 Calculate the highest common factor of 1252 and 204313254. 626 What is the greatest common divisor of 4900273 and 57981? 1757 Calculate the highest common factor of 142 and 95865052. 142 Calculate the highest common factor of 16 and 249298928. 16 What is the highest common factor of 25158 and 211512? 42 Calculate the highest common factor of 73739 and 2622. 19 What is the greatest common divisor of 18949470 and 58290? 870 Calculate the greatest common divisor of 117106500 and 5283. 1761 Calculate the greatest common factor of 46656 and 19792. 16 What is the highest common divisor of 403110267 and 753? 753 What is the greatest common divisor of 9 and 1214589141? 9 Calculate the greatest common divisor of 9389394 and 426. 6 Calculate the highest common divisor of 3194570 and 30. 10 Calculate the greatest common divisor of 270 and 781730. 10 What is the highest common factor of 234256 and 18656? 176 What is the highest common factor of 107569 and 38357? 121 Calculate the greatest common divisor of 10804235 and 1690. 65 What is the greatest common factor of 2754 and 608958? 162 Calculate the greatest common factor of 36739927 and 6475. 259 Calculate the highest common factor of 116 and 5361549. 29 What is the highest common factor of 3 and 75464624? 1 What is the greatest common divisor of 12913230 and 251300? 3590 Calculate the highest common divisor of 6528 and 55922112. 3264 Calculate the highest common divisor of 3437305 and 5. 5 Calculate the highest common factor of 151848 and 372. 12 Calculate the highest common divisor of 147 and 12528663. 147 What is the highest common divisor of 427131 and 792? 9 What is the greatest common factor of 8662 and 422521? 71 What is the greatest common divisor of 692339 and 39803? 53 What is the highest common divisor of 79355920 and 280? 280 What is the greatest common divisor of 3952 and 272464? 16 What is the highest common divisor of 204 and 141915252? 204 Calculate the greatest common factor of 388 and 1083116. 4 What is the highest common factor of 83900 and 933700? 100 What is the highest common factor of 208 and 4727440? 16 What is the highest common factor of 41 and 65210213? 41 Calculate the greatest common factor of 33920 and 385310. 530 Calculate the greatest common factor of 11722206 and 174. 174 What is the greatest common factor of 548594 and 430? 86 What is the greatest common divisor of 296 and 38909459? 37 Calculate the greatest common divisor of 213139786 and 2846. 2846 Calculate the greatest common divisor of 26967 and 53025. 303 What is the highest common divisor of 204 and 1584621? 51 Calculate the highest common divisor of 4153002 and 11102. 854 What is the greatest common divisor of 7884032 and 112? 16 What is the greatest common factor of 186 and 436424169? 93 Calculate the greatest common factor of 193904 and 92. 4 Calculate the greatest common divisor of 24 and 7631256. 24 What is the greatest common divisor of 36544 and 103488? 64 Calculate the greatest common divisor of 1936 and 1654433. 121 What is the highest common factor of 16665341 and 589985? 6941 Calculate the greatest common factor of 14238 and 606942. 126 What is the greatest common factor of 2144 and 68986148? 268 Calculate the greatest common factor of 35 and 570981775. 35 What is the greatest common factor of 4715575 and 1180? 295 Calculate the highest common divisor of 220 and 1735. 5 What is the greatest common divisor of 58659936 and 56? 8 What is the greatest common factor of 2982490 and 7672? 1918 Calculate the greatest common factor of 963 and 25367031. 9 Calculate the greatest common factor of 5283 and 3219108. 1761 Calculate the highest common divisor of 3393 and 38141844. 1131 What is the highest common divisor of 11210043 and 91? 13 Calculate the greatest common factor of 16131 and 143619670. 5377 Calculate the highest common factor of 36052124 and 1343. 79 What is the greatest common divisor of 880000 and 48? 16 Calculate the greatest common divisor of 68202 and 3699. 27 What is the highest common divisor of 139992 and 177600? 24 Calculate the highest common divisor of 240730730 and 11150. 2230 Calculate the highest common factor of 575319 and 19. 1 Calculate the highest common factor of 38570 and 30409690. 5510 Calculate the highest common divisor of 1333 and 3251807. 31 Calculate the greatest common divisor of 27516888 and 6048. 1512 What is the greatest common factor of 728480 and 3401120? 4640 What is the greatest common factor of 178194465 and 4806? 2403 Calculate the highest common diviso
{ "pile_set_name": "DM Mathematics" }
e terms in -60*h**2 + 0*h**2 - 34*h**2 - 64*h**2. -158*h**2 Collect the terms in 9999*r - 9999*r - r**3. -r**3 Collect the terms in -3 + 5*o - 16*o + 3. -11*o Collect the terms in 17297 - h - 17297. -h Collect the terms in -163*z + 5*z**3 + 163*z. 5*z**3 Collect the terms in -86*m**2 - 4*m + 6*m**3 + 86*m**2. 6*m**3 - 4*m Collect the terms in -26*o + 29*o - 2*o. o Collect the terms in 142 - 239*w - 142 + 243*w. 4*w Collect the terms in -6*u + 3*u + 10*u. 7*u Collect the terms in -559*p**2 + 304*p**2 + 288*p**2. 33*p**2 Collect the terms in -402 + 402 - 7*j**2. -7*j**2 Collect the terms in 38 - 86 + 48 + 6*v**3. 6*v**3 Collect the terms in 27089 - a**2 + 3*a**2 - 27089. 2*a**2 Collect the terms in 25*a - 14*a + 18*a**2 - 11*a. 18*a**2 Collect the terms in -h**2 + h - 19*h**2 + 3*h**2. -17*h**2 + h Collect the terms in 6*b**2 + 91*b - 9*b**2 - 91*b. -3*b**2 Collect the terms in -10*l + l + 2*l + 5*l - l. -3*l Collect the terms in -29*o + 29*o - 15*o**2. -15*o**2 Collect the terms in 0*y**3 - 490*y + y**3 + 490*y + 2*y**3. 3*y**3 Collect the terms in 8567*i - 25705*i + 8567*i + 8571*i + i**3. i**3 Collect the terms in 363*l**3 + 0*l**2 + 0*l**2 + 304*l**3. 667*l**3 Collect the terms in 0*s**2 - 3*s**2 + 9*s**2 - 2*s**2. 4*s**2 Collect the terms in -30*c**3 + 91*c**3 - 33*c**3 - 26*c**3. 2*c**3 Collect the terms in -292*m**3 - 292*m**3 + 585*m**3. m**3 Collect the terms in 2*t + 5*t - t + 0*t. 6*t Collect the terms in 123*p**3 - 35*p**3 - 49*p**3 - 41*p**3. -2*p**3 Collect the terms in -39*c**3 + 29*c**3 - 23*c**3 - 40*c**3. -73*c**3 Collect the terms in 46*b**3 + 2*b**2 + 0*b**2 + 26*b**3. 72*b**3 + 2*b**2 Collect the terms in 9787 - 13*y**2 - 9787 + 15*y**2. 2*y**2 Collect the terms in -4*x - 2124*x**3 + 4*x + 255*x**3. -1869*x**3 Collect the terms in -6*q**3 + 2*q**3 + 4*q**3 + 18*q**3. 18*q**3 Collect the terms in -1 - 8*t**3 + 20*t**2 - 20*t**2. -8*t**3 - 1 Collect the terms in 13*w + 13*w + 5*w - 27*w. 4*w Collect the terms in -h**2 - 2190 + 2190 - 2*h**2. -3*h**2 Collect the terms in 0*v + 2*v - 2*v - 7*v**3. -7*v**3 Collect the terms in -2*f + 11 - 12 + 37. -2*f + 36 Collect the terms in -s - s + 60 - 10*s. -12*s + 60 Collect the terms in 75*z**2 - 58*z**2 - 25*z**2. -8*z**2 Collect the terms in 5*c + 3236 - 3236. 5*c Collect the terms in -11 - 11*v**2 + 26*v**2 + 4 + 10. 15*v**2 + 3 Collect the terms in -5*w**2 + 9*w**2 - 5*w**2 - 11*w**2 + 11*w**2. -w**2 Collect the terms in 2*y**2 + 103*y**2 + 36*y**2. 141*y**2 Collect the terms in 10*r**3 + 9*r**3 - 17*r**3. 2*r**3 Collect the terms in -5146 + 5146 - 2*q. -2*q Collect the terms in 18*a**3 + 53*a**3 - 49*a**3. 22*a**3 Collect the terms in 2*k**2 - 7*k**2 - 12*k**2 - 14*k**2 + 7*k**2. -24*k**2 Collect the terms in -32*y**3 - 805*y + 805*y. -32*y**3 Collect the terms in 5*r**3 - 5*r**3 - 5*r**3. -5*r**3 Collect the terms in -24 - 42 + 4*a**3 + 277 - 2*a**3. 2*a**3 + 211 Collect the terms in -7*d**2 - 2*d**2 - 2*d**2 - 4*d**2 + 16*d**2. d**2 Collect the terms in -169*r + 40*r + 41*r + 83*r. -5*r Collect the terms in 7*c**2 + 256*c**3 - 129*c**3 - 125*c**3. 2*c**3 + 7*c**2 Collect the terms in 33*y + 19*y + 3*y + 14*y. 69*y Collect the terms in -9*f - 4*f - 12*f + 22*f. -3*f Collect the terms in 8824*i + i**2 - 3*i**2 + 4710*i. -2*i**2 + 13534*i Collect the terms in 0 + 199*f - 489*f + 0. -290*f Collect the terms in 5*j**2 + j**2 - 7*j**2 - 4*j**2. -5*j**2 Collect the terms in 5*a**2 + 0*a**2 - 2*a**2. 3*a**2 Collect the terms in -192*z**3 + 61*z**3 + 53*z**3 + 75*z**3. -3*z**3 Collect the terms in 2 - 3 + 3 - 4*u - 2. -4*u Collect the terms in -4431 + 10*l**2 + 4431. 10*l**2 Collect the terms in -12*n - 4*n - 2*n**2 + 6*n - 8*n. -2*n**2 - 18*n Collect the terms in 3 + 2*u + 4 + 0 - 7. 2*u Collect the terms in -3*t**3 + 138352 - 138352. -3*t**3 Collect the terms in 28*a**3 - 40*a**3 - 34*a**3. -46*a**3 Collect the terms in -9*s**2 - 8*s**2 - 12*s**2 + 23*s**2. -6*s**2 Collect the terms in 326*g + 152*g - 122*g. 356*g Collect the terms in -95 + 187*v + 95. 187*v Collect the terms in -4*x + 30*x + x**2 - 12*x - 13*x - 13*x. x**2 - 12*x Collect the terms in 14*h + 3*h - 15*h. 2*h Collect the terms in 2498 - 2498 - y + 4*y + y. 4*y Collect the terms in -16*y**3 - 20*y**3 - 29*y**3 + 51*y**3. -14*y**3 Collect the terms in -58*v + 70*v - 19*v. -7*v Collect the terms in -1216*b + 1216*b + b**2 - 3*b**2. -2*b**2 Collect the terms in -9*v + 13*v + 38*v. 42*v Collect the terms in 13*j**2 + 0*j**2 + 2*j**2 + 0*j**2. 15*j**2 Collect the terms in -1 - 7*m + 1 + 3*m. -4*m Collect the terms in 13 - 13 - 11*q**3 + 13*q**3. 2*q**3 Collect the terms in 24184 - 2*o**2 - 24184. -2*o**2 Collect the terms in -2493*b**3 + 1246*b**3 + 1245*b**3. -2*b**3 Collect the terms in -12*g + 9*g + 2*g. -g Collect the terms in 26*m**3 + 2*m - 2*m. 26*m**3 Collect the terms in -6 + 8 + 12 - 2*x - 14. -2*x Collect the terms in 1 - 4 + 94*b + 1. 94*b - 2 Collect the terms in -3 + 2*i**2 - 19 + 22. 2*i**2 Collect the terms in 7*o - 2*o - 5*o - 6*o**2 + 15*o**2. 9*o**2 Collect the terms in -v + 4*v + 6*v. 9*v Collect the terms in 42*b**2 + 0 - 45*b**2 - 13. -3*b**2 - 13 Collect the terms in 2 + 2*o**2 + 4 + 2 - 8. 2*o**2 Collect the terms in -9*x - 27*x + 12*x - 10*x + 3*x**2. 3*x**2 - 34*x Collect the terms in 4*l**3 - 3*l**3 - 1379*l + 1364*l. l**3 - 15*l Collect the terms in -108*i**3 - 101*i**3 + 63*i**3. -146*i**3 Collect the terms in 613 - 613 - o**2. -o**2 Collect the terms in 2*u**2 + 8*u**2 + 9*u**2 + 4*u**2. 23*u**2 Collect the terms in -2*l - 10*l - 13*l. -25*l Collect the terms in 0*m + 6*m + 16*m - 9*m. 13*m Collect the terms in -5*b**3 - 53*b**3 - 35*b**3. -93*b**3 Collect the terms in -121*b**2 - 2*b - b**2 + 2*b - 1. -122*b**2 - 1 Collect the terms in 20*p + 142*p**2 - 20*p. 142*p**2 Collect the terms in -6*z**3 - 6*z**3 + 8*z**3. -4*z**3 Collect the terms in 25*a**2 + a + 3*a - 28*a**2 - 4*a. -3*a**2 Collect the terms in -9 + 38 - f - 16 - 13. -f Collect the terms in 2*t**2 - 41*t**3 - t**2 + 24*t**3. -17*t**3 + t**2 Collect the terms in -33*f**3 + f**3 + 20*f**3. -12*f**3 Collect the terms in -16*o**2 - 9*o**2 + 48*o - 22*o - 26*o. -25*o**2 Collect the terms in 2*q + 4*q - 5*q. q Collect the terms in 0*m**2 + 3 + 766*m + 3*m**2 - 766*m. 3*m**2 + 3 Collect the terms in 1 + 8246*j - 8244*j - 1. 2*j Collect the terms in 3 + 1 - 7*z**3 + 9 + 4*z**3. -3*z**3 + 13 Collect the terms in -69 - 4*o + 206 - 73 - 64. -4*o Collect the terms in 3*o - 24*o - 2*o - 6*o**2. -6*o**2 - 23*o Collect the terms in -903*i - 2 + 882*i + 2. -21*i Collect the terms in -2*q**3 + 5 - 5 + 27*q**2. -2*q**3 + 27*q**2 Collect the terms in -1862*x - x**3 + 1862*x. -x**3 Collect the terms in -10*i**3 + 1 - 3 - 8*i**3. -18*i**3 - 2 Collect the terms in 4 - 112*v + 113*v - 4. v Collect the terms in -2*j**3 - 135*j**2 + 38*j**2 + 25*j**2. -2*j**3 - 72*j**2 Collect the terms in -1137*x**3 + 825*x**3 - 2090*x**3. -2402*x**3 Collect the terms in 0 + 0 - 1808*z**2 + 1809*z**2. z**2 Collect the terms in 18 - 3 - 18*r**3 - 7 - 8. -18*r**3 Collect the terms in -2*q**2 + 0*q**2 + q**2 + 2*q**2. q**2 Collect the terms in 10*s**2 + 1 - 1 - 32*s**2. -22*s**2 Collect the terms in -4*w**2 - 28 + 28 + 16*w**2. 12*w**2 Collect the terms in 3*d**3 + 6*d**3 - 10*d**3 + 6*d**3 + 0*d**3. 5*d**3 Collect the terms in 2*k**3 - 20*k**2 + 22*k**2 - 2*k**2. 2*k**3 Collect the terms in -2*z + 254*z**2 + 2*z - 5 + 6. 254*z**2 + 1 Collect the terms in 714 - 714 - 8*y**2. -8*y**2 Collect the terms in -6*y**2 + 13*y**2 + 11*y**2. 18*y**2 Collect the terms in -29*w**2 - 2*w**2 - 30*w**2 + 60*w**2. -w**2 Collect the terms in -5*k**2 + 4*k**2 - 5*k**2. -6*k**2 Collect the terms in -2*l**3 + 14*l**3 - 7*l**3 - 3*l**3. 2*l**3 Collect the terms in -292*y**3 - 48 + 48. -292*y**3 Collect the terms in 3*z**2 + 325*z - 325*z. 3*z**2 Collect the terms in 15 - 1599*o**2 - 15. -1599*o**2 Collect the terms in 2*r + 391*r**2 + 5*r**3 - 386*r**2 - 2*r. 5*r**3 + 5*r**2 Collect the terms in 238 - 238 - 42*h. -42*h Collect the terms in 11*h**2 + 8*h**2 - 29*h**2 + 8*h**2. -2*h**2 Collect the terms in -5*x**2 + 248*x - 248*x. -5*x**2 Collect the terms in 3*v + 570*v**3 - 3*v. 570*v**3 Collect the terms in 5873*z + z**3 - 5873*z. z**3 Collect the terms in -8*x + 2 - 7 + 8 - 3. -8*x Collect the
{ "pile_set_name": "DM Mathematics" }
without replacement from jmoudummmyumdummomyo? 1/14535 Three letters picked without replacement from qhxq. Give prob of sequence qhx. 1/12 Calculate prob of sequence nsnr when four letters picked without replacement from qrsqnsnsqn. 1/280 What is prob of sequence se when two letters picked without replacement from {s: 10, e: 9}? 5/19 Three letters picked without replacement from nxxfnfyxsjyfxf. What is prob of sequence nnx? 1/273 What is prob of sequence fzz when three letters picked without replacement from {s: 1, z: 3, f: 4, l: 2}? 1/30 Three letters picked without replacement from {t: 2, q: 4, c: 2}. What is prob of sequence tqq? 1/14 Two letters picked without replacement from psbtsspspsttplptttb. Give prob of sequence pt. 5/57 Calculate prob of sequence qqqq when four letters picked without replacement from qqaqqqqqqqqqaqqqqqq. 35/57 Calculate prob of sequence xhxj when four letters picked without replacement from hjjxhxxxxjjxx. 14/715 Two letters picked without replacement from {q: 1, k: 2, x: 1, d: 2, f: 2, a: 7}. Give prob of sequence fx. 1/105 Calculate prob of sequence rqqr when four letters picked without replacement from qrrqr. 1/10 What is prob of sequence my when two letters picked without replacement from zmmzoyyzzzoo? 1/33 Two letters picked without replacement from vooo. What is prob of sequence oo? 1/2 Four letters picked without replacement from {a: 6, j: 6}. Give prob of sequence ajaa. 2/33 Calculate prob of sequence qpo when three letters picked without replacement from {o: 3, p: 2, q: 4, m: 5, z: 5}. 4/969 Calculate prob of sequence pc when two letters picked without replacement from cccppccccp. 7/30 Two letters picked without replacement from ujccoyq. Give prob of sequence qo. 1/42 Calculate prob of sequence jyf when three letters picked without replacement from pyjjvypfyfypypypjf. 3/272 What is prob of sequence ip when two letters picked without replacement from {i: 1, r: 2, p: 1, f: 1}? 1/20 What is prob of sequence waw when three letters picked without replacement from waaaaaaawaaaww? 5/91 What is prob of sequence tq when two letters picked without replacement from {t: 5, u: 1, q: 1, m: 3, e: 1}? 1/22 Calculate prob of sequence srcs when four letters picked without replacement from {z: 4, s: 3, r: 2, m: 6, c: 3}. 1/2040 Two letters picked without replacement from {l: 1, t: 1, x: 1, a: 2}. What is prob of sequence xt? 1/20 What is prob of sequence lnin when four letters picked without replacement from plneiepiltliiiltttie? 0 Two letters picked without replacement from {v: 1, y: 6, b: 7}. Give prob of sequence bv. 1/26 What is prob of sequence lu when two letters picked without replacement from {n: 1, u: 2, l: 1, r: 2, i: 2}? 1/28 Four letters picked without replacement from {m: 7, g: 1, w: 2}. What is prob of sequence mmwg? 1/60 Calculate prob of sequence vnzz when four letters picked without replacement from znrvz. 1/60 Three letters picked without replacement from kpicvknc. Give prob of sequence vkk. 1/168 What is prob of sequence aza when three letters picked without replacement from qzuqzqazzqazzuzcqcz? 8/2907 Three letters picked without replacement from hhhwhwhhbh. What is prob of sequence wwb? 1/360 What is prob of sequence nkh when three letters picked without replacement from khnhnhnhkknnchkk? 25/672 Two letters picked without replacement from jjjjjjjjjjjjjjjjjjjx. What is prob of sequence jx? 1/20 Three letters picked without replacement from {d: 5, q: 1, b: 3, y: 1, i: 1, w: 1}. What is prob of sequence yyi? 0 Three letters picked without replacement from cccczccccczccczc. What is prob of sequence czc? 39/280 Calculate prob of sequence qqh when three letters picked without replacement from hhqqhqhqqhhqhq. 7/52 Three letters picked without replacement from ialvalsf. Give prob of sequence vsf. 1/336 What is prob of sequence yl when two letters picked without replacement from qzzwwwywzqwwyqqlqq? 1/153 Calculate prob of sequence prp when three letters picked without replacement from pmprlplpppppmplmel. 1/68 Four letters picked without replacement from {w: 2, i: 4, d: 6}. Give prob of sequence wdwd. 1/198 What is prob of sequence fyy when three letters picked without replacement from {v: 1, f: 1, s: 1, y: 10}? 15/286 Three letters picked without replacement from {c: 1, z: 2, t: 1, p: 1}. What is prob of sequence czt? 1/30 Two letters picked without replacement from {w: 10, l: 9}. Give prob of sequence lw. 5/19 Three letters picked without replacement from {m: 5, c: 2}. Give prob of sequence mmc. 4/21 Three letters picked without replacement from {h: 6, s: 4, o: 4}. Give prob of sequence hhs. 5/91 Three letters picked without replacement from abaaiebavgveaea. Give prob of sequence gea. 3/455 Four letters picked without replacement from ffryrfffymyorfrfrmf. What is prob of sequence yfrm? 5/1938 Calculate prob of sequence zzl when three letters picked without replacement from zzl. 1/3 Calculate prob of sequence uut when three letters picked without replacement from tuttut. 1/15 Calculate prob of sequence ozzo when four letters picked without replacement from oozozozzzzoz. 7/99 Four letters picked without replacement from vuvvuvullvuuuu. Give prob of sequence uvlu. 5/286 What is prob of sequence xi when two letters picked without replacement from {x: 2, o: 4, z: 8, n: 2, i: 4}? 2/95 Calculate prob of sequence ta when two letters picked without replacement from {h: 1, t: 5, w: 1, a: 2}. 5/36 Four letters picked without replacement from bubuibobubjbujubbub. Give prob of sequence ojuu. 5/7752 Three letters picked without replacement from {w: 3, x: 4, d: 5}. Give prob of sequence ddd. 1/22 Four letters picked without replacement from {r: 1, f: 1, x: 1, q: 3, z: 1}. What is prob of sequence zfqq? 1/140 Calculate prob of sequence qqf when three letters picked without replacement from {f: 4, b: 1, p: 2, q: 2, e: 2, o: 1}. 1/165 Calculate prob of sequence qw when two letters picked without replacement from wqwq. 1/3 Two letters picked without replacement from {f: 1, t: 6, l: 1, v: 11}. Give prob of sequence ft. 1/57 Calculate prob of sequence mmmo when four letters picked without replacement from aaooaoooammomoao. 1/910 What is prob of sequence cq when two letters picked without replacement from qccccccccccc? 1/12 What is prob of sequence da when two letters picked without replacement from hpnad? 1/20 Two letters picked without replacement from {r: 4, h: 4, e: 1, v: 3, b: 4}. Give prob of sequence be. 1/60 Calculate prob of sequence vrrt when four letters picked without replacement from {r: 2, b: 3, t: 4, d: 1, v: 1}. 1/990 Calculate prob of sequence lg when two letters picked without replacement from lfg. 1/6 Three letters picked without replacement from gcgffz. Give prob of sequence fcf. 1/60 Three letters picked without replacement from yzzzzzlsllzszyyz. Give prob of sequence yyy. 1/560 What is prob of sequence yu when two letters picked without replacement from {z: 11, y: 1, g: 4, u: 3}? 1/114 Calculate prob of sequence bc when two letters picked without replacement from {e: 5, c: 5, b: 1, l: 1}. 5/132 What is prob of sequence hp when two letters picked without replacement from qzyppypyzhyzpp? 5/182 Calculate prob of sequence yt when two letters picked without replacement from {y: 7, t: 4}. 14/55 Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnnnnn. 1 What is prob of sequence yfx when three letters picked without replacement from {y: 3, x: 11, f: 1}? 11/910 Calculate prob of sequence wc when two letters picked without replacement from {c: 1, w: 12}. 1/13 What is prob of sequence uuu when three letters picked without replacement from uuu? 1 Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmmmmm. 1 Calculate prob of sequence wrsw when four letters picked without replacement from rssirmwitmstrsmw. 1/1820 What is prob of sequence gng when three letters picked without replacement from {j: 1, w: 2, g: 2, n: 1, b: 1}? 1/105 What is prob of sequence ojj when three letters picked without replacement from {j: 4, d: 1, o: 2, y: 3, e: 3, h: 4}? 1/170 Calculate prob of sequence eess when four letters picked without replacement from {l: 7, s: 2, e: 2}. 1
{ "pile_set_name": "DM Mathematics" }
6163*j + 2 What is the x'th term of 34527, 34526, 34525, 34524, 34523, 34522? -x + 34528 What is the l'th term of 81, 83, 85, 87, 89? 2*l + 79 What is the g'th term of -1, -2, 5, 26, 67, 134, 233, 370? g**3 - 2*g**2 - 2*g + 2 What is the a'th term of 38, 121, 260, 455, 706, 1013? 28*a**2 - a + 11 What is the h'th term of 209, 204, 195, 182, 165, 144, 119? -2*h**2 + h + 210 What is the f'th term of 1, -19, -41, -53, -43, 1, 91? 2*f**3 - 13*f**2 + 5*f + 7 What is the i'th term of 45, 195, 451, 819, 1305, 1915, 2655, 3531? i**3 + 47*i**2 + 2*i - 5 What is the y'th term of 49, 97, 145? 48*y + 1 What is the f'th term of -36, -93, -140, -171, -180? f**3 - f**2 - 61*f + 25 What is the a'th term of 22067, 22072, 22087, 22118, 22171, 22252? a**3 - a**2 + a + 22066 What is the j'th term of 76, 87, 94, 91, 72? -j**3 + 4*j**2 + 6*j + 67 What is the b'th term of 102, 106, 106, 96, 70, 22, -54? -b**3 + 4*b**2 - b + 100 What is the m'th term of 175, 286, 397, 508? 111*m + 64 What is the m'th term of 4516, 4515, 4514, 4513, 4512? -m + 4517 What is the f'th term of 8, 4, 0, -4, -8, -12? -4*f + 12 What is the r'th term of 1311, 1325, 1361, 1431, 1547, 1721, 1965, 2291? 2*r**3 - r**2 + 3*r + 1307 What is the r'th term of -642, -1295, -1934, -2553, -3146? r**3 + r**2 - 663*r + 19 What is the w'th term of 42, 38, 36, 36, 38, 42? w**2 - 7*w + 48 What is the s'th term of -87, -86, -85, -84, -83? s - 88 What is the y'th term of 86, 168, 250, 332? 82*y + 4 What is the x'th term of -530, -1058, -1586? -528*x - 2 What is the i'th term of -74, -102, -130, -158, -186, -214? -28*i - 46 What is the a'th term of -3, 3, 33, 99, 213? 2*a**3 - 8*a + 3 What is the i'th term of -10, -6, -2, 2, 6, 10? 4*i - 14 What is the m'th term of 105, 234, 375, 534, 717? m**3 + 122*m - 18 What is the h'th term of 43, 74, 105, 136, 167, 198? 31*h + 12 What is the h'th term of -13, -92, -301, -706, -1373? -11*h**3 + h**2 - 5*h + 2 What is the n'th term of -19, -33, -41, -43, -39, -29, -13? 3*n**2 - 23*n + 1 What is the z'th term of -89, -174, -255, -332, -405? 2*z**2 - 91*z What is the k'th term of -310, -306, -300, -292, -282, -270? k**2 + k - 312 What is the b'th term of -311, -622, -933? -311*b What is the v'th term of 108, 90, 58, 6, -72, -182? -v**3 - v**2 - 8*v + 118 What is the i'th term of 8, 7, -4, -31, -80, -157, -268, -419? -i**3 + i**2 + 3*i + 5 What is the b'th term of 396, 795, 1194, 1593, 1992, 2391? 399*b - 3 What is the p'th term of 24, 30, 36, 42, 48, 54? 6*p + 18 What is the n'th term of -127, -75, 5, 125, 297, 533, 845? 2*n**3 + 2*n**2 + 32*n - 163 What is the d'th term of 32, 21, 0, -37, -96, -183? -d**3 + d**2 - 7*d + 39 What is the x'th term of 470, 484, 508, 548, 610, 700, 824, 988? x**3 - x**2 + 10*x + 460 What is the c'th term of -77, -75, -71, -65, -57? c**2 - c - 77 What is the k'th term of 132, 266, 400? 134*k - 2 What is the y'th term of -1952, -1976, -2002, -2030, -2060, -2092, -2126? -y**2 - 21*y - 1930 What is the f'th term of -6633, -13272, -19915, -26562, -33213, -39868? -2*f**2 - 6633*f + 2 What is the k'th term of -123, -172, -225, -282, -343, -408? -2*k**2 - 43*k - 78 What is the l'th term of 111, 129, 159, 207, 279, 381, 519? l**3 + 11*l + 99 What is the i'th term of -23, -25, -37, -65, -115? -i**3 + i**2 + 2*i - 25 What is the m'th term of -84, -166, -248, -330? -82*m - 2 What is the w'th term of 36, 48, 60, 72, 84? 12*w + 24 What is the l'th term of 9, 12, 27, 60, 117, 204? l**3 - 4*l + 12 What is the g'th term of -15, -57, -125, -219, -339, -485? -13*g**2 - 3*g + 1 What is the w'th term of -5931, -11862, -17793? -5931*w What is the q'th term of 60, 256, 578, 1020, 1576? -q**3 + 69*q**2 - 4*q - 4 What is the i'th term of -11, -12, -15, -20, -27, -36, -47? -i**2 + 2*i - 12 What is the j'th term of 40, 199, 596, 1351, 2584, 4415? 20*j**3 - j**2 + 22*j - 1 What is the z'th term of -2326, -2315, -2298, -2275, -2246? 3*z**2 + 2*z - 2331 What is the f'th term of 115, 108, 101, 94, 87, 80? -7*f + 122 What is the p'th term of -45, -35, -25? 10*p - 55 What is the m'th term of 4558, 4549, 4518, 4453, 4342, 4173, 3934, 3613? -2*m**3 + m**2 + 2*m + 4557 What is the d'th term of -124, -242, -348, -436, -500? d**3 - 125*d What is the f'th term of -4, -64, -232, -562, -1108, -1924, -3064, -4582? -9*f**3 + 3*f + 2 What is the r'th term of -624, -625, -626, -627, -628, -629? -r - 623 What is the l'th term of -33, -64, -109, -174, -265, -388? -l**3 - l**2 - 21*l - 10 What is the f'th term of 194, 196, 198, 200? 2*f + 192 What is the d'th term of 14070, 14065, 14050, 14019, 13966? -d**3 + d**2 - d + 14071 What is the x'th term of -7, -15, -23, -31, -39, -47? -8*x + 1 What is the k'th term of -7, -11, -15? -4*k - 3 What is the f'th term of 43, 168, 385, 700, 1119, 1648, 2293, 3060? f**3 + 40*f**2 - 2*f + 4 What is the k'th term of -336, -344, -356, -372, -392, -416, -444? -2*k**2 - 2*k - 332 What is the n'th term of -69, -133, -189, -237, -277? 4*n**2 - 76*n + 3 What is the j'th term of 12, 17, 24, 33? j**2 + 2*j + 9 What is the x'th term of 7, 27, 53, 79, 99, 107? -x**3 + 9*x**2 - 1 What is the k'th term of -84, -94, -110, -132, -160? -3*k**2 - k - 80 What is the s'th term of 405, 416, 437, 474, 533, 620, 741? s**3 - s**2 + 7*s + 398 What is the i'th term of -672, -691, -712, -735? -i**2 - 16*i - 655 What is the r'th term of -1, 4, 19, 50, 103, 184, 299? r**3 - r**2 + r - 2 What is the s'th term of 18559, 18551, 18541, 18529, 18515, 18499, 18481? -s**2 - 5*s + 18565 What is the a'th term of -517, -555, -593, -631? -38*a - 479 What is the x'th term of -9229, -9228, -9227, -9226, -9225, -9224? x - 9230 What is the j'th term of 311, 1239, 2787, 4955, 7743, 11151? 310*j**2 - 2*j + 3 What is the v'th term of 3002, 3001, 3000? -v + 3003 What is the a'th term of -629, -1253, -1875, -2495, -3113, -3729, -4343? a**2 - 627*a - 3 What is the l'th term of -11, -2, 17, 52, 109, 194, 313? l**3 - l**2 + 5*l - 16 What is the d'th term of 176, 355, 536, 719? d**2 + 176*d - 1 What is the c'th term of 74, 171, 280, 407, 558, 739, 956? c**3 + 90*c - 17 What is the t'th term of 8, 88, 298, 704, 1372, 2368, 3758? 11*t**3 - t**2 + 6*t - 8 What is the j'th term of -472, -503, -534, -565, -596, -627? -31*j - 441 What is the q'th term of 4431, 4432, 4433? q + 4430 What is the u'th term of 476, 961, 1470, 2015, 2608? 2*u**3 + 471*u + 3 What is the s'th term of -864, -861, -860, -861, -864, -869, -876? -s**2 + 6*s - 869 What is the a'th term of -1773, -1767, -1757, -1743, -1725, -1703, -1677? 2*a**2 - 1775 What is the m'th term of 51, 253, 785, 1809, 3487, 5981, 9453? 27*m**3 + 3*m**2 + 4*m + 17 What is the n'th term of -18041, -36084, -54125, -72164? n**2 - 18046*n + 4 What is the l'th term of -1659, -1656, -1653? 3*l - 1662 What is the p'th term of -6, -31, -70, -123? -7*p**2 - 4*p + 5 What is the c'th term of 26, 182, 604, 1424, 2774? 22*c**3 + c**2 - c + 4 What is the k'th term of -4771, -4769, -4765, -4759, -4751, -4741? k**2 - k - 4771 What is the v'th term of -44, -58, -72, -86, -100? -14*v - 30 What is the f'th term of -4054, -4050, -4044, -4036, -4026, -4014, -4000? f**2 + f - 4056 What is the h'th term of -268, -300, -344, -406, -492, -608, -760, -954? -h**3 - 25*h - 242 What is the f'th term of -6559, -6559, -6557, -6553, -6547, -6539, -6529? f**2 - 3*f - 6557 What is the k'th term of 133, 130, 125, 118, 109, 98, 85? -k**2 + 134 What is the i'th term of -515, -1030, -1545? -515*i What is the o'th term of -217, -431, -645, -859? -214*o - 3 What is the r'th term of 73466, 73464, 73460, 73454, 73446? -r**2 + r + 73466 What is the n'th term of -477, -957, -1437, -1917, -2397, -2877? -480*n + 3 What is the i'th term of -81, -69, -43, 3, 75? i**3 + i**2 + 2*i - 85 What is the r'th term of -32, -86, -170, -278, -404, -542, -686? r**3 - 21*r**2 + 2*r - 14 What is the l'th term of 31, 20, -3, -44, -109, -204, -335, -508? -l**3 - 4*l + 36 What is the h'th term of 51, 46, 49, 66, 103, 166? h**3 - 2*h**2 - 6*h + 58 What is the o'th term of 225, 230, 235, 240? 5*o + 220 What is the m'th term of 92, 173, 254? 81*m + 11 What is the j'th term of -133, -185, -239, -295, -353, -413, -475? -j**2 - 49*j - 83 What is the n'th term of 30, 56, 96, 156, 242, 360, 516, 716? n**3 + n**2 + 16*n + 12 What is th
{ "pile_set_name": "DM Mathematics" }
**2. Determine m(g(p)). -55628148*p**2 Let c(f) = -2*f**2. Let p = 2610 + -2608. Let q(t) be the third derivative of 0*t + 0 - 2*t**p - 3/20*t**5 + 0*t**3 - 1/6*t**4. Give c(q(d)). -162*d**4 - 144*d**3 - 32*d**2 Let b(v) = 48*v. Let l(i) be the third derivative of 2*i**5/5 + 24*i**2 - 30*i. What is b(l(s))? 1152*s**2 Let m(w) = 7583*w**2. Let l(s) = 11676*s**2. What is l(m(g))? 671392055964*g**4 Let m(x) = x**2. Let v(g) = -g**2 + 13*g - 9. Let r be v(15). Let d be 2/(-6) - r/9. Let b(y) = -26 + d*y + 26. What is m(b(w))? 16*w**2 Let s(r) = 56*r. Let d(k) = 5*k**2 - k - 853. Determine s(d(v)). 280*v**2 - 56*v - 47768 Let y(q) = -35*q. Let o(h) = 7252*h. Give y(o(w)). -253820*w Let d(r) = -31289*r**2. Let o(y) = -y + 1. Calculate o(d(p)). 31289*p**2 + 1 Let s(p) = -190*p**2. Let f(v) = -30*v + 18. Let l(a) = -24*a + 15. Let h(w) = 5*f(w) - 6*l(w). Give h(s(n)). 1140*n**2 Let g(s) = 753583*s - 376786*s - 376797*s - 25*s**2. Let o(f) be the second derivative of -f**3/6 - f. What is g(o(a))? -25*a**2 Let h(d) = 3*d**2 + 24. Let n be ((-2)/(-3))/((-20)/(-90)). Let m(i) = n*i - 71 + 71. What is m(h(l))? 9*l**2 + 72 Let i(k) = -2*k. Let a(p) = -860*p**2 + 1656*p**2 + 6039*p**2. Determine a(i(u)). 27340*u**2 Suppose 7*b - 418 = -15*b. Let k(t) = 51*t**2 - t + t + b*t**2 - 3*t**2. Let z(y) be the second derivative of -y**3/3 - y. Give k(z(i)). 268*i**2 Let x(o) = -2*o. Let h(w) = 24339 - 24349 + 6*w**2 - 21*w**2. What is h(x(c))? -60*c**2 - 10 Let y = 62 - 70. Let d(z) = 4*z - 17. Let o(n) = -6*n + 25. Let p(x) = y*d(x) - 5*o(x). Let u(b) = -59*b - 66*b - 66*b + 190*b. Calculate u(p(j)). 2*j - 11 Suppose -16*a + 13*a = 225. Let p = -40 - a. Let r(l) = -p*l - 36*l + 73*l. Let b(t) = 10*t. Calculate r(b(f)). 20*f Let i(w) = w. Let p be 8/10*(2 + (-1)/(-2)). Suppose 18 = z + 3*q, -9*z - 39 = -13*z - q. Let a(o) = -55*o**2 - 19*o**2 + z*o**p + 10*o**2. Calculate a(i(u)). -55*u**2 Let n(a) = 3008141*a**2. Let f(m) = 5*m. Determine n(f(s)). 75203525*s**2 Let u(c) = -7*c. Let i(h) = -5*h - 15 + 19 - 2*h - 9. Calculate i(u(t)). 49*t - 5 Let a(m) = -79*m + 3. Let z(v) = -645466*v**2. Calculate a(z(k)). 50991814*k**2 + 3 Let s(m) = 3546*m + 0 - 3546*m + 0 - 2405*m**2. Let z(l) = l. What is s(z(x))? -2405*x**2 Let u(p) be the third derivative of p**4/2 + p**3/6 - 4*p**2 - 1076. Let q(z) = -20*z**2 - z. Determine q(u(v)). -2880*v**2 - 492*v - 21 Let o(c) = -11167*c. Let y(n) = 2*n + 4411. Give y(o(f)). -22334*f + 4411 Let q(a) = 2*a - 20*a + 55 - 55 + a. Let l(k) be the first derivative of -3*k**3 + 77. Give l(q(i)). -2601*i**2 Let o(r) = -12*r**2. Suppose -2*x = d + 1, -x - 4*x + 15 = 5*d. Suppose -d*y + 4*y + 108 = 0. Let n(f) = -3*f + 76 - y - 40. Determine o(n(k)). -108*k**2 Let g(p) be the first derivative of 2*p**3 - 3278. Let h(n) = -781*n. Calculate h(g(i)). -4686*i**2 Let f(s) be the second derivative of 0*s**3 + 1/12*s**4 + 9/2*s**2 + 0 - 12*s. Let a(q) be the first derivative of f(q). Let x(p) = 5*p. Give a(x(y)). 10*y Let p(c) = -1768*c. Let u(q) = 2*q + 21. Let r(z) = -z - 12. Let g(l) = 7*r(l) + 4*u(l). Calculate g(p(y)). -1768*y Let n(y) be the second derivative of -1/12*y**4 + 5*y + 0*y**3 + 0*y**2 + 3. Let a(k) = -177*k. Give a(n(j)). 177*j**2 Let c(z) = 30*z - 14. Let q(t) = 2*t - 1. Let o be -6*28*5/30. Let g(v) = o*q(v) + 2*c(v). Let k(s) = 5*s - 8*s - 7*s. Give k(g(m)). -40*m Let f(t) = 9*t + 21. Let l(g) = 4*g + 1. Let u(p) = -f(p) + l(p). Let d(n) = 8*n. Give d(u(w)). -40*w - 160 Let o(j) = -4178*j**2. Let v(z) be the second derivative of z**4/6 - 2697*z. Give o(v(t)). -16712*t**4 Let g(b) = 25020137*b**2. Let z(x) = 6*x**2. Determine g(z(l)). 900724932*l**4 Let s(u) be the first derivative of -49 + 1/3*u**4 + 0*u**3 - u**2 - 8*u. Let h(p) be the first derivative of s(p). Let n(q) = q**2. Calculate n(h(m)). 16*m**4 - 16*m**2 + 4 Suppose 4*s + 1364 = 4*i + 156, 2*s = 4. Let j(q) = 4*q + 303. Let d be j(0). Let o(t) = d*t**2 + 0*t - i*t**2 + 0*t. Let a(n) = -57*n. Determine a(o(p)). 57*p**2 Let f(s) = 2652*s + 100. Let j(b) = 2*b**2 - 34. What is f(j(m))? 5304*m**2 - 90068 Let f(r) be the first derivative of 11*r**2/2 + 26. Let d(l) = 75*l - 9. Let o(m) = -42*m + 5. Let c(n) = -5*d(n) - 9*o(n). Calculate c(f(a)). 33*a Let b(h) = 3*h**2. Let o(w) = -1. Let p = 42 + -40. Suppose 0 = p*m + 13 - 11. Let t(i) = 10*i**2 - 30. Let s(n) = m*t(n) + 30*o(n). Calculate s(b(j)). -90*j**4 Let n(w) = 12*w + 2. Let i(s) = -17*s - 1. Let x(o) = 304*o + 16. Let m(d) = -16*i(d) - x(d). Give m(n(v)). -384*v - 64 Let y(i) = 616*i**2 - 3*i - 8. Let m(s) = 2462*s**2 - 13*s - 35. Let r(w) = 3*m(w) - 13*y(w). Let j(h) = 4*h**2. What is r(j(n))? -9952*n**4 - 1 Let l(j) = 10*j - 68. Let u be l(7). Let x(c) = 76*c**u - 152*c**2 + 87*c**2. Let m(g) = -19*g. Give m(x(b)). -209*b**2 Let d(z) be the first derivative of 145*z**2 + 1720. Let p(o) = 12*o**2. Give p(d(w)). 1009200*w**2 Let m = -910 - -919. Let p(u) = -8*u - 10 + 15 + m - 14. Let b(z) = -24*z - 14. Let a(x) = -5*x - 3. Let r(i) = 14*a(i) - 3*b(i). What is r(p(f))? -16*f Let u(o) = -1107*o. Let z(r) = 3333*r**2 - 1. Determine z(u(x)). 4084421517*x**2 - 1 Let j(u) = -6971*u**2 - 393*u**2 + 3448*u**2. Let f(b) = -2*b**2. Determine j(f(l)). -15664*l**4 Let h(z) be the first derivative of -79*z**3/3 + 2430. Let u(i) = 43*i**2. What is h(u(m))? -146071*m**4 Let v be 2*44/(-24)*-3. Let d(n) be the first derivative of -6 + 2*n**2 + 4 - n**2 + v. Let c(j) = 11*j**2. Calculate d(c(q)). 22*q**2 Let l(z) = 10*z. Let c(p) be the first derivative of 0*p - 4 - 1/2*p**2. Determine c(l(n)). -10*n Let p(q) = -2 - 4 + 6 + 2*q. Let l(m) be the third derivative of -23*m**4/4 - 124*m**2. Calculate p(l(w)). -276*w Let r(t) = 410*t**2 + 1194*t**2 + 172*t**2. Let i(y) = -2*y**2. What is r(i(f))? 7104*f**4 Let k(m) = 6*m**2 + 0*m**2 - 3*m**2 - m**2. Let x(n) = 29*n - 2. Let o(a) = 1075*a - 75. Let q(b) = -2*o(b) + 75*x(b). Give q(k(u)). 50*u**2 Let v(d) = -9*d**2. Let b = -68 + 156. Let s(n) = -1 + 1 - 93*n**2 + b*n**2. Calculate s(v(j)). -405*j**4 Let l(w) = 2*w + 1512. Let y(d) = -73747*d. Give l(y(s)). -147494*s + 1512 Let c(h) = -2*h. Let n(g) = -g**3 - g**2 - g - 13. Let p be n(-9). Let k = p - 375. Let x(o) = k*o**2 - 541*o**2 + 267*o**2. Give c(x(f)). 10*f**2 Let s(c) be the first derivative of -23*c**2 - 12. Let b(v) = -187*v**2 + 9*v. Let u(g) = -83*g**2 + 4*g. Let h(i) = -4*b(i) + 9*u(i). What is s(h(l))? -46*l**2 Let r(c) = -c**2 - 47. Let w(q) = 3*q**2 - 36. Let g(n) = -7*n**2 + 71. Let z(o) = -2*g(o) - 5*w(o). Let u(v) be the first derivative of z(v). Give u(r(l)). 2*l**2 + 94 Let r(j) = 4*j**2 - 3*j. Let d(a) = -14*a + 56. Let i(s) = s**2 + s - 4. Let k(o) = 2*d(o) + 28*i(o). Determine r(k(m)). 3136*m**4 - 84*m**2 Let c(q) be the third derivative of -13*q**4/12 + 6*q**2 + 217. Let j(z) = 2*z - 17. What is j(c(a))? -52*a - 17 Let h(w) = 2*w**2. Let z(o) be the second derivative of -o**3/6 - 129*o**2/2 + 310*o. Calculate h(z(f)). 2*f**2 + 516*f + 33282 Let r(z) = -2171*z**2. Let v(i) = -717*i - 5. Give v(r(x)). 1556607*x**2 - 5 Let l be -12 - (-7 + 22/(-4)). Let s(g) be the second derivative of 0*g**2 + 0 - 7*g + l*g**3. Let b(j) = 5*j. Calculate b(s(y)). 15*y Let o(k) = -15016*k**2. Let n(s) = 884*s + 3. Give n(o(v)). -13274144*v**2 + 3 Let h(g) = -97*g**2. Let v(u) = -182449*u. Calculate v(h(q)). 17697553*q**2 Let v(y) = 2*y**2. Let f(s) = s**3 - 6*s**2 + s + 4. Let k be f(6). Let z(m) = -58*m - 6 - 4 + k. What is z(v(t))? -116*t**2 Let r(s) be the second derivative of s**3/2 + 3841*s. Let j(c) = -591*c. Calculate r(j(m)). -1773*m Let u(l) = l - l**2 - l. Let i = 231 + -188. Let p(c) = 16*c + 14*c + 9*c - i*c. Give p(u(b)). 4*b**2 Let z(r) be the third derivative of -8 + 0*r + 0*r**3 - 1/2*r**4 + r**2. Let x(i) = -20*i. Determine z(x(t)). 240*t Let a(z) = z**2 + 3*z - 17. Let q(w) = 6*w**2 + 6*w - 2243. Let m(t) = 2*a(t) - q(t). Let r(d) = -2*d. What is r(m(s))? 8*s**2 - 4418 Let y(a) = -a + 28. Let i(f) = -276*f**2 + 539*f**2 - 265*f**2. What is y(i(k))? 2*k**2 + 28 Let s(y) = 82*y + 1. Let c(g) = -411*g - 5. Let f(q) = -2*c(q) - 11*s(q). Let x(n) = 37*n + 29*n + 36*n - 137*n + 34*n. Calculate x(f(j)). 80*j + 1 Let v(t) = 14371164*t. Let s(j) = 22*j**2. What is v(s(g))? 316165608*g**2 Let z(v) = -20*v**2 - 15*v. Let c
{ "pile_set_name": "DM Mathematics" }
s after 5:56 AM? 3:16 PM How many minutes are there between 12:00 PM and 11:31 PM? 691 What is 44 minutes before 6:03 AM? 5:19 AM What is 310 minutes after 9:40 AM? 2:50 PM What is 692 minutes before 4:33 PM? 5:01 AM How many minutes are there between 12:34 PM and 6:27 PM? 353 What is 19 minutes after 6:21 AM? 6:40 AM How many minutes are there between 10:19 AM and 6:24 PM? 485 What is 430 minutes after 8:56 PM? 4:06 AM How many minutes are there between 8:56 AM and 7:06 PM? 610 What is 630 minutes before 2:01 PM? 3:31 AM How many minutes are there between 9:22 AM and 11:04 AM? 102 How many minutes are there between 11:49 AM and 8:44 PM? 535 What is 672 minutes before 2:49 PM? 3:37 AM How many minutes are there between 5:55 AM and 10:32 AM? 277 How many minutes are there between 2:06 AM and 6:59 AM? 293 How many minutes are there between 11:27 PM and 10:59 AM? 692 How many minutes are there between 3:19 AM and 4:13 AM? 54 How many minutes are there between 9:18 PM and 7:27 AM? 609 What is 332 minutes after 1:37 AM? 7:09 AM How many minutes are there between 8:09 AM and 12:55 PM? 286 What is 599 minutes after 2:25 PM? 12:24 AM What is 532 minutes before 6:33 PM? 9:41 AM How many minutes are there between 12:52 PM and 9:13 PM? 501 What is 4 minutes before 10:37 AM? 10:33 AM What is 559 minutes before 3:13 AM? 5:54 PM How many minutes are there between 8:59 AM and 8:09 PM? 670 What is 130 minutes after 5:34 PM? 7:44 PM How many minutes are there between 9:45 AM and 10:41 AM? 56 How many minutes are there between 7:47 AM and 10:51 AM? 184 What is 48 minutes after 6:27 AM? 7:15 AM What is 502 minutes before 8:09 PM? 11:47 AM How many minutes are there between 6:34 PM and 6:53 PM? 19 How many minutes are there between 9:11 PM and 11:12 PM? 121 What is 430 minutes after 7:41 PM? 2:51 AM What is 587 minutes before 8:54 AM? 11:07 PM How many minutes are there between 2:22 PM and 5:02 PM? 160 How many minutes are there between 5:31 AM and 9:22 AM? 231 What is 60 minutes after 8:53 PM? 9:53 PM How many minutes are there between 6:12 PM and 3:45 AM? 573 What is 699 minutes after 9:59 AM? 9:38 PM What is 448 minutes after 12:51 PM? 8:19 PM What is 249 minutes after 8:40 PM? 12:49 AM What is 665 minutes after 3:55 PM? 3:00 AM How many minutes are there between 2:05 PM and 9:03 PM? 418 What is 662 minutes after 1:05 PM? 12:07 AM What is 680 minutes before 6:20 AM? 7:00 PM What is 123 minutes before 4:08 AM? 2:05 AM What is 173 minutes before 10:24 PM? 7:31 PM What is 9 minutes after 3:04 AM? 3:13 AM How many minutes are there between 11:37 AM and 5:00 PM? 323 What is 547 minutes after 10:58 AM? 8:05 PM What is 661 minutes after 10:56 PM? 9:57 AM How many minutes are there between 1:23 PM and 9:44 PM? 501 What is 286 minutes before 4:10 AM? 11:24 PM How many minutes are there between 12:20 AM and 10:47 AM? 627 How many minutes are there between 4:00 PM and 4:49 PM? 49 What is 592 minutes before 8:59 PM? 11:07 AM How many minutes are there between 10:54 PM and 8:24 AM? 570 How many minutes are there between 9:21 AM and 9:40 AM? 19 How many minutes are there between 12:06 AM and 7:34 AM? 448 What is 488 minutes after 3:35 PM? 11:43 PM How many minutes are there between 9:44 PM and 6:21 AM? 517 What is 371 minutes before 11:06 PM? 4:55 PM What is 597 minutes after 3:35 AM? 1:32 PM How many minutes are there between 12:29 PM and 8:17 PM? 468 What is 591 minutes before 2:02 PM? 4:11 AM What is 144 minutes after 4:52 AM? 7:16 AM What is 91 minutes before 4:49 PM? 3:18 PM How many minutes are there between 5:35 PM and 9:18 PM? 223 What is 520 minutes after 7:12 AM? 3:52 PM How many minutes are there between 5:23 AM and 10:27 AM? 304 What is 89 minutes after 5:36 AM? 7:05 AM How many minutes are there between 2:01 PM and 5:30 PM? 209 How many minutes are there between 3:47 PM and 12:14 AM? 507 What is 559 minutes before 1:37 AM? 4:18 PM How many minutes are there between 6:01 AM and 4:26 PM? 625 How many minutes are there between 6:09 AM and 12:47 PM? 398 What is 246 minutes before 11:39 PM? 7:33 PM How many minutes are there between 11:34 AM and 7:22 PM? 468 What is 148 minutes after 11:18 AM? 1:46 PM How many minutes are there between 10:00 AM and 7:45 PM? 585 How many minutes are there between 4:11 AM and 9:32 AM? 321 What is 170 minutes before 7:58 AM? 5:08 AM How many minutes are there between 3:20 AM and 9:14 AM? 354 What is 547 minutes before 8:59 PM? 11:52 AM How many minutes are there between 7:46 AM and 12:10 PM? 264 What is 322 minutes before 6:45 AM? 1:23 AM What is 474 minutes after 3:31 PM? 11:25 PM How many minutes are there between 4:19 AM and 10:35 AM? 376 What is 480 minutes after 3:57 AM? 11:57 AM How many minutes are there between 3:57 PM and 4:17 PM? 20 How many minutes are there between 4:51 AM and 12:14 PM? 443 How many minutes are there between 6:07 AM and 3:55 PM? 588 What is 320 minutes after 4:07 AM? 9:27 AM How many minutes are there between 1:12 PM and 11:24 PM? 612 What is 480 minutes after 8:50 AM? 4:50 PM How many minutes are there between 12:48 PM and 2:10 PM? 82 What is 625 minutes after 9:52 AM? 8:17 PM How many minutes are there between 10:52 PM and 6:52 AM? 480 How many minutes are there between 12:16 AM and 9:44 AM? 568 What is 535 minutes after 5:21 PM? 2:16 AM What is 652 minutes before 8:42 AM? 9:50 PM What is 454 minutes after 7:11 PM? 2:45 AM What is 303 minutes after 3:06 AM? 8:09 AM How many minutes are there between 7:41 PM and 11:52 PM? 251 How many minutes are there between 4:58 AM and 7:31 AM? 153 How many minutes are there between 11:46 PM and 12:36 AM? 50 How many minutes are there between 7:32 AM and 4:16 PM? 524 How many minutes are there between 4:13 PM and 12:58 AM? 525 What is 643 minutes after 1:25 AM? 12:08 PM What is 474 minutes after 4:01 PM? 11:55 PM How many minutes are there between 4:30 AM and 12:12 PM? 462 How many minutes are there between 1:20 AM and 11:51 AM? 631 How many minutes are there between 9:53 AM and 11:21 AM? 88 How many minutes are there between 12:28 AM and 9:18 AM? 530 How many minutes are there between 3:15 PM and 4:53 PM? 98 How many minutes are there between 8:53 AM and 7:45 PM? 652 What is 337 minutes after 6:06 AM? 11:43 AM How many minutes are there between 1:36 AM and 7:30 AM? 354 How many minutes are there between 7:41 PM and 5:01 AM? 560 How many minutes are there between 8:03 AM and 6:26 PM? 623 What is 557 minutes before 12:39 PM? 3:22 AM How many minutes are there between 6:05 PM and 9:09 PM? 184 What is 344 minutes after 2:13 AM? 7:57 AM How many minutes are there between 12:05 PM and 5:49 PM? 344 What is 197 minutes before 3:27 PM? 12:10 PM How many minutes are there between 12:51 AM and 1:03 AM? 12 What is 688 minutes before 12:24 PM? 12:56 AM How many minutes are there between 11:09 PM and 11:57 PM? 48 How many minutes are there between 12:35 PM and 10:51 PM? 616 What is 244 minutes before 1:14 AM? 9:10 PM What is 253 minutes before 1:07 AM? 8:54 PM How many minutes are there between 7:58 PM and 9:36 PM? 98 What is 474 minutes after 1:49 AM? 9:43 AM How many minutes are there between 4:40 PM and 3:16 AM? 636 How many minutes are there between 10:14 PM and 3:17 AM? 303 What is 546 minutes after 11:51 PM? 8:57 AM What is 90 minutes before 9:23 PM? 7:53 PM How many minutes are there between 3:17 PM and 10:29 PM? 432 How many minutes are there between 5:12 AM and 3:48 PM? 636 What is 92 minutes before 12:15 AM? 10:43 PM How many minutes are there between 9:14 AM and 9:52 AM? 38 What is 664 minutes before 2:17 AM? 3:13 PM What is 104 minutes after 3:18 AM? 5:02 AM How many minutes are there between 1:43 AM and 2:39 AM? 56 How many minutes are there between 10:16 AM and 3:33 PM? 317 How many minutes are there between 5:46 AM and 12:32 PM? 406 How many minutes are there between 7:14 PM and 8:52 PM? 98 How many minutes are there between 3:28 AM and 8:45 AM? 317 What is 391 minutes before 8:22 AM? 1:51 AM What is 466 minutes after 11:55 PM? 7:41 AM What is 689 minutes after 9:31 PM? 9:00 AM How many minutes are there between 8:52 PM and 12:58 AM? 246 What is 454 minutes after 5:26 AM? 1:00 PM How many minutes are there between 5:08 AM and 2:20 PM? 552 What is 372 minutes befo
{ "pile_set_name": "DM Mathematics" }
List the prime factors of -3*1 + (m - 2). 2 Let r be ((-4)/(-5))/((-2)/(-5)). Let h be (-82)/(-3) - r/(-3). Suppose 2*k = 90 - h. List the prime factors of k. 31 Let l(q) = 2*q**2 + 4*q + 8. Let y(u) = 5*u - 1. Let s be y(1). Let a(t) = -5*t + 14. Let i be a(s). What are the prime factors of l(i)? 2, 7 Let z(d) = d**2 + 13*d + 6. Let n be z(-12). Let p be 2/n - 152/(-6). Let h = -20 + p. List the prime factors of h. 5 Suppose v + 6 = 4*k, 3*k - 6 = -0*k. Suppose -3*p + 82 = -v. What are the prime factors of p? 2, 7 Suppose 18*m - 12697 = 4817. List the prime factors of m. 7, 139 Let h be ((-5)/15)/(2/30). Let o be 16/(h*(-6)/15). Let m = 44 - o. List the prime factors of m. 2, 3 Let b(f) = -f**3 + 16*f**2 - 18*f + 13. Let c be b(15). Let a = -68 - c. What are the prime factors of 9/(3 - 0) - a? 3, 13 Let h be (11 - 8) + (1 - 4). Suppose 5*o - g - 249 = -2*g, 2*o - 3*g - 86 = h. What are the prime factors of o? 7 Suppose 0 = 5*p - 189 - 96. Let t = p + -42. What are the prime factors of t? 3, 5 Let n be 5*6 + 4/(-2). Suppose -104 = 2*u - 10*u. Let c = n - u. What are the prime factors of c? 3, 5 Let g(f) = 2*f**3 - 8*f**2 + 7*f + 5. Let v = 53 - 49. What are the prime factors of g(v)? 3, 11 Let m = -1535 - -2996. What are the prime factors of m? 3, 487 Let l(y) = y**2 + 9*y - 31. Let i be l(3). Suppose -3*v + 14*n = 18*n - 403, v - i*n = 109. List the prime factors of v. 3, 43 Let s = -96 - -99. Suppose -27 - 42 = -s*t. What are the prime factors of t? 23 Suppose 0 = 14*p - 528 - 7004. List the prime factors of p. 2, 269 Suppose -2*j - 2*j - 2 = -2*t, 3 = 5*j + 3*t. Suppose 0*o + 4*o - 344 = j. What are the prime factors of o? 2, 43 Let s = -27 + 87. Suppose 3*i - 9 - s = 0. Suppose 4*x - 17 = -l + i, 112 = 5*l - 2*x. What are the prime factors of l? 2, 3 Suppose l - 6 = -2. Let s be ((-2)/l)/(2/12). Let m(k) = k**2 - 2*k. List the prime factors of m(s). 3, 5 Let j = -40 - -40. Suppose 3*p - 5*p + 218 = j. What are the prime factors of p? 109 Let v be (-63)/(-27) - (-4)/6. List the prime factors of v + (-416)/(-2) - 15/5. 2, 13 Let b(f) = f + 1. Let q(x) = 23*x + 21. Let k(o) = 4*b(o) - q(o). List the prime factors of k(-8). 3, 5 Let v(h) = 28*h - 147. List the prime factors of v(19). 5, 7, 11 Let q be 2*1*(75/(-6))/(-5). Suppose 3*l + 243 = z + 2*z, 437 = q*z + 3*l. What are the prime factors of z? 5, 17 Suppose 4*v = 11*v - 413. Suppose 0 = -n - r + v, 3*n + 4*r - 148 - 29 = 0. What are the prime factors of n? 59 Suppose -9 = -8*r + 5*r. Suppose -d - r*d = -3*m - 148, 0 = 2*m. List the prime factors of d. 37 Let d be (-443 + -1)/((-16)/8). List the prime factors of d*(-5 - -6) - -3. 3, 5 Let d be (-5 + 3)/((-4)/(-246)). Let x = -65 - d. What are the prime factors of x? 2, 29 Let v = 36 - 31. Suppose -2*a - 321 = -v*a. What are the prime factors of a? 107 Let k = 80 - -78. List the prime factors of k. 2, 79 What are the prime factors of 97 + 1 + (7 - (-32)/(-4))? 97 Let m(h) = -h**2 + 10*h + 14. Let a be m(11). Let v be (-18)/12*(-4)/a. List the prime factors of v/3*(3 + 3). 2 Suppose 5*f - 15 = -3*a + 41, 60 = 3*a + 3*f. Let v(g) = g**2 - 4*g - 6. Let y be v(6). Let h = a - y. List the prime factors of h. 2 Suppose -2*x - 124 = -5*w - 1027, 533 = -3*w - x. Let d = 302 + w. List the prime factors of d. 3, 41 Let d be ((-24)/10)/(4/20). Suppose -38 = -3*k + 4*q, 0 = 2*k - 3*q + 8*q - 56. Let n = d + k. What are the prime factors of n? 2, 3 Let l(z) = -z + 1. Let f be l(-5). Let a = f - -30. Let i = 64 - a. List the prime factors of i. 2, 7 Let w(c) = 4*c - 4 - 10 + 15 - 11*c. Suppose -5*v + 0*i - 7 = 4*i, -5*i = -5*v - 25. What are the prime factors of w(v)? 2, 11 Suppose 0*p - 666 = -9*p. What are the prime factors of (p/8)/(10/80)? 2, 37 Let r(k) = -k**3 - 6*k**2 + k + 9. Let d be r(-6). Let m = d + 1. Suppose -204 = -m*i - 80. What are the prime factors of i? 31 List the prime factors of 421873/301 - (-4)/(-7). 3, 467 Let m = -108 + 157. What are the prime factors of m? 7 Suppose 341 = 5*x + 4*u - 3*u, 5*u + 131 = 2*x. Suppose -5*k + 758 - x = 0. List the prime factors of k. 2, 3, 23 Let g(s) = -100*s - 317. What are the prime factors of g(-8)? 3, 7, 23 Let y = -10 - -16. Suppose r + y = 3*r. Suppose 4*c + r*b - 1 = 8*c, 4*b - 12 = 0. List the prime factors of c. 2 Let c = -15 - -15. Suppose -4*b + 8*k - 3*k + 100 = c, -2*b + 56 = -4*k. What are the prime factors of b? 2, 5 Suppose -4*a - 124 = 4*f, 2*f = a + 6 - 56. Let z = f - -83. List the prime factors of z. 2, 7 Let j(s) = 22*s - 7. Let d be j(-7). Let i = d + 268. List the prime factors of i. 107 Suppose y - 3*m = 0, -5*y = 5*m - 3*m. Suppose -2*f - 7*f + 963 = y. What are the prime factors of f? 107 Suppose 2*c = 5*i - 2*c - 44, -3*i + 29 = -5*c. Suppose i*g - 10*g = -156. What are the prime factors of (g/(-8))/((-9)/24)? 2, 13 Let q = 277 + -164. Let n be 1 - ((q - 2) + -4). Let d = -60 - n. What are the prime factors of d? 2, 23 Let v be 45 - 3*(-5)/(-15). Suppose -2*l + v = -5*b - 41, l = 2*b + 45. What are the prime factors of l? 5, 11 Let j = 2711 + -1510. List the prime factors of j. 1201 Let c(x) = -2*x**2 + 26*x + 10. Suppose 4*l = 2*a - 16 - 12, 3*a = 2*l + 34. List the prime factors of c(a). 2, 5, 7 Let w be 24/(-60) - 4/(-10). Suppose -2*n + 4*d = d - 153, w = -2*d - 10. List the prime factors of n. 3, 23 Let k(u) = u**2 - 14*u - 67. Let q be k(20). Suppose 1085 = q*j - 48*j. List the prime factors of j. 7, 31 Let j(x) = x + 4. Let o be j(1). Suppose -o*s = -2*t - 460, -7*s = -3*s - 3*t - 361. What are the prime factors of s? 2, 47 Suppose 0 = -6*b + 3*b + 21. Let y(a) = -391 - 388 + a + 782. List the prime factors of y(b). 2, 5 Suppose 182*y = 172*y + 5940. List the prime factors of y. 2, 3, 11 Suppose -2*i + 6*i = 3*r - 1310, -1725 = -4*r + i. List the prime factors of r. 2, 5, 43 Let k = 2160 + -1043. List the prime factors of k. 1117 Let t = -29 + 9. Let z be 304/6 - (-6)/(-9). Let h = z + t. List the prime factors of h. 2, 3, 5 Let a(w) = 174*w - 182. What are the prime factors of a(6)? 2, 431 Let o(p) = -2*p + 20. Let n be o(8). Suppose 596 = n*i + 3*x, -3*x = 5*i - 2*x - 756. Let s = -86 + i. What are the prime factors of s? 2, 3, 11 Suppose -1516 = -d - 3*d - 4*u, -9 = -3*u. What are the prime factors of d? 2, 47 Suppose -3*o = o - y + 5, 2*y = o + 10. Suppose 3*p = -o*p - 3*h + 219, -2*h - 2 = 0. What are the prime factors of p? 2, 37 Suppose s + 3*v - 1467 = 0, -s + v + 396 = -1055. What are the prime factors of s? 3, 5, 97 Suppose 4*n = -16, 0 = -4*y - 4*n - 410 + 2762. List the prime factors of y. 2, 37 Suppose 0*x - 450 = -3*x. Suppose 3*d + 42 + 8 = c, -3*c - d + x = 0. What are the prime factors of c? 2, 5 Let f(d) = 61*d**3 - d**2 + 2*d - 2. Suppose y - 3*c - 2 = -13, 2*c = 8. List the prime factors of f(y). 2, 3, 5 Let k(d) = d**2 - 5*d - 81. What are the prime factors of k(-15)? 3, 73 Suppose -25*g = -35*g + 3880. List the prime factors of g. 2, 97 List the prime factors of (1/(-2))/(1/(-36)). 2, 3 Let f(c) = c**2 + 4*c + 3. Let n be f(0). Suppose 4*q = 2*r - 38, 5*q - 2*q - 66 = -n*r. What are the prime factors of r? 3, 7 Let w(y) = y**3 + 5*y**2 + 4*y + 3. Let n be w(-4). Suppose 1 + n = 4*h. What are the prime factors of h/(69/(-35) + 2)? 5, 7 Let k(h) = 211*h**3 - 10*h**2 + 7*h + 4. List the prime factors of k(2). 2, 7, 17 Suppose 29*x - 10761 = -22*x. List the prime factors of x. 211 Let z = -376 + 536. List the prime factors of z. 2, 5 List the prime factors of ((-58)/(-8))/(63/8316). 3, 11, 29 Suppose -232 = 4*n - 0*n. Let x = n - -155. What are the prime factors of x? 97 Let o(j) = -7*j + 2. Let d be o(-2). Suppose -d = 3*f - 208. Suppose 3*b - 3*n = 2*b + 36, 2*n = -3*b + f. List the prime factors of b. 2, 3 Suppose 0 = 5*j - 0*i + 4*i - 23, -4*i + 11 = j. Let t = 1 + 6. Let b = t + j. What are the prime factors of b? 2, 5 Let t be (-3 - (-4)/4)*-1. Suppose -l + 2*j = 8, -t*l = -j + 4 - 0. Suppose 0 = 3*o - p - 103, -3*p - 2 + 8 = l. List the prime factors of o. 5, 7 Suppose -8579 = -4*a + 6049. What are the prime factors of 0 + (-6)/(-33) - a/(-33)? 3, 37 Let w = 11 - 15. Suppose 4*k - 294 = -66. List the prime factors of (1 + k)*(-2)/w. 29 Let x be ((-16)/24)/(2/(-12)). Suppose -15 = -x*q - q. Suppose -6*v + 30 = 4*u - q*v, -u - 3*v = -3.
{ "pile_set_name": "DM Mathematics" }
u = 3*y + 2*y for y. 5 Suppose -1 + 0 = -f. Solve f + 2 = -3*a for a. -1 Suppose -u - 11 = -4*a, -3*u - 1 = -4*a - 0*a. Suppose 0 = -u*d - 1 + 16. Solve -3 = -3*z + d for z. 2 Let b be -2*(-2)/(-4)*4. Let x = 8 + b. Suppose 0 = -t + 3*t - 40. Solve 0*q = x*q + t for q. -5 Suppose i - 4*p - 14 = 0, 4*i = -3*p - p - 4. Suppose 0 = i*a + 2*a - 32. Let d be 57/12 - (-2)/a. Solve d*v - 25 = -0 for v. 5 Let k(q) = q**3 - 3*q**2 - q - 4. Let r be k(4). Solve 2*n = 4*n - r for n. 4 Let k be 26/91 - 47/(-7). Solve -4*a - 9 = k for a. -4 Let n(v) = -v**3 - v**2 + v + 12. Let t be n(0). Suppose 0 = 5*r - r - t. Suppose 2*j - r*m + 0*m = 15, -m = -j + 6. Solve 6*l - j*l = 6 for l. 2 Let j(m) = -3*m - 2 + 1 + 4*m**3 - 11*m**2 + 4*m. Let z(t) = -t**3 + t**2 + 1. Let r(g) = -j(g) - 5*z(g). Let w be r(-6). Solve w = 3*q - 13 for q. 5 Let h(g) = g**2 + 4*g - 6. Let z be h(-5). Let m be 1/z + 7 + -4. Solve -j + 0 = m for j. -2 Let u = -2 - -5. Suppose -u*r = r - 24. Solve -t + r*t = 0 for t. 0 Suppose 4*a = -4, 4*n + 3 = -0*n + 5*a. Let h be 5/(n*3/(-18)). Let b be ((-10)/15)/((-2)/h). Solve -2*f - b = -1 for f. -2 Suppose 3*u - 11 = 4. Suppose -2*n - 5 + 1 = -4*x, -5*x - 10 = u*n. Solve x*b = 4*b for b. 0 Let p(u) = u**3 - 6*u**2 + 2. Let r be p(6). Let q be (4/6)/((-2)/(-6)). Solve 0 + r = -q*s for s. -1 Let m(h) be the first derivative of h**4/4 + 2*h**3/3 - h**2/2 - 2*h + 3. Let s be m(-2). Solve 4*d = -4 - s for d. -1 Let x(y) = -y**3 + 5*y**2 - 1. Let u be x(4). Solve 0 = -3*p + 8*p - u for p. 3 Let p(v) = 3*v + 9. Let f(x) = 2*x + 6. Let b(t) = -7*f(t) + 5*p(t). Let q be b(0). Suppose 0 = h - q*h. Solve h*g = -3*g for g. 0 Suppose 4*u + 8 = 24. Solve u*b = -b for b. 0 Let n be 1*(0 + 0) - -8. Solve -v - v = -n for v. 4 Let d be 0 + 0 + 0/2. Let b = -20 - -22. Solve d*n - b*n = 6 for n. -3 Let f = -80 + 86. Solve -25 = f*a - a for a. -5 Let j be (3 - (-21)/(-6))*-42. Suppose j - 1 = 5*l. Solve -l*i - i - 25 = 0 for i. -5 Let o = 42 - -154. Let t be o/10 + 34/85. Solve -2*c = 3*c - t for c. 4 Suppose -2*t + 5 = -t. Suppose 0 = -t*q + 2*c - 0*c + 45, 45 = 5*q - c. Solve 0*l + 3*l + q = 0 for l. -3 Suppose 4*j + k - 7 = 0, -4*k + 3*k = -4*j + 9. Suppose 0 = j*p - 3*p + 4. Suppose 2*x - p = -2*x. Solve -5*m + 4 = -x for m. 1 Let b be 2/(-10) + 915/75. Solve 0 = -h - 2*h + b for h. 4 Let s be (-12)/78 - 472/(-26). Let u = s - 14. Solve -u*x = -x for x. 0 Let r be (1 + (-3)/(-2))/(47/470). Solve 3*o + r = 8*o for o. 5 Suppose 5*k - 5*a = 190, -k + a + 48 = -2*a. Suppose -3*c = q - c - 13, -5*q + k = 2*c. Solve -q*m - 9 = 6 for m. -3 Suppose -4*b = 8, 2*c - 2*b = -0*b + 10. Let s = c + -1. Solve -s*n = -4 + 2 for n. 1 Suppose 0 = -2*l + 5*h, -2*l - 4*h + 4 = -14. Solve -3*s - l = -4*s for s. 5 Let l = -62 + 70. Solve -t + l = t for t. 4 Let h(r) = 2*r**2 + r + 1. Let z be h(-1). Solve -i + z = -3 for i. 5 Suppose -2*b + 7*b + 2*h = 10, 25 = -b + 5*h. Solve 6*a - 2*a = b for a. 0 Suppose -6*n + 11*n + 60 = 0. Let l = n - -12. Solve u + 2 = -l*u for u. -2 Let u(h) = -h**2 + 9*h - 12. Let y be u(6). Solve y = c + c for c. 3 Suppose 2*j = 5*j - 3. Solve b = j + 2 for b. 3 Let t be (90/(-20))/(3/(-4)). Suppose -15*h + 12*h = -t. Solve h*b = 4*b + 8 for b. -4 Let t(v) = 2*v**2 + 6*v - 4. Let y be t(-5). Suppose 2*b = -2*w + y, 2*b - 9 - 7 = 4*w. Solve 2*l + 0*l = b for l. 4 Let a = 31 - -7. Let g = -26 + a. Solve -y = 2*y + g for y. -4 Let a be (3/2)/((-3)/(-32)). Suppose o - 3*o + a = 4*y, 5*o = 2*y - 8. Solve 2*f + 0 - 10 = o for f. 5 Suppose 0 = z + 8*z - 6*z. Solve 3*a + z*a = 0 for a. 0 Let q be (338/4)/13 + (-6)/4. Solve -b - q = -0 for b. -5 Let i(p) = p**3 + 9*p**2 - 12*p - 17. Let s be i(-10). Solve 2*y = s*y for y. 0 Let s = 11 + -6. Let f be 8 - 6/(0 - -3). Solve -l = -f*l - s for l. -1 Let h = -32 + 35. Solve 0 = q - h*q + 8 for q. 4 Let q = -46 - -48. Solve -2*g = q*g for g. 0 Suppose y = 6*y - 20. Solve -5*t + y = -t for t. 1 Suppose 0*j = 2*j - 4*g + 20, 4*j + 4*g = 20. Let w(s) = 2*s**3 + 5*s**2 + 2*s - 2. Let v be w(-3). Let d = -8 - v. Solve 5*x - 29 + d = j for x. 4 Suppose 0 = -5*p - 4*f + 17 + 31, 0 = -5*p - 3*f + 46. Suppose 0 = 4*k + p - 68. Solve 3*i + k = -0*i for i. -5 Let w = 6 - -3. Solve 3*b + 0*b + w = 0 for b. -3 Suppose 0 = 3*a + 5*q - 30, -4*a - 2*q + 26 = -0*a. Suppose z + a = 7. Suppose -z - 16 = -3*g. Solve 2*x + 0*x + g = 0 for x. -3 Let l be ((-5)/(-10))/((-1)/(-4)). Suppose 4 = -4*v + o, 0*v - l = 2*v + 2*o. Let i be (-8 - 1)*1*v. Solve 0 = 2*w + w + i for w. -3 Let v(l) be the first derivative of -1/3*l**3 + 0*l + 15/4*l**4 + 2 + 0*l**2. Let w be v(1). Solve -4*s + 6 + w = 0 for s. 5 Let m be 10/(-1) - (-4 + 3). Let v be 6*3*(-1)/m. Solve v*f + 0*f = -4 for f. -2 Let n = 16 - 9. Suppose 5*o - 28 = n. Suppose -o*f + 2*f + 15 = 5*r, -5*r + 10 = 0. Solve -f + 4 = -w for w. -3 Suppose -f - 8 = 5*z - 27, 5*z - 3*f - 3 = 0. Let d be (4/6)/(1/z). Solve 5*s - 4*s - d = 0 for s. 2 Suppose 0 = -3*l + 9*l - 18. Solve 2*a + l = -7 for a. -5 Suppose 2 - 1 = m. Let h = m - -1. Suppose -h*f - 5 = -g, 2*f = -3*g - 2*f - 5. Solve g = j + 3 for j. -2 Suppose 0 = -4*q, q = 3*i - 3*q + 9. Let c = 9 - 13. Let n be (-1)/(1 - c/i). Solve a = -2*a - n for a. -1 Let k = -46 - -48. Solve 0*z = z - k for z. 2 Suppose 3*t + 3 = 6. Suppose t = -p - 6. Let b = -4 - p. Solve 3*j + 0*j - b = 0 for j. 1 Let q = 63 + -153. Let t be (1/(-3))/(6/q). Solve t*l = -12 - 8 for l. -4 Let y(j) = j**3 - 2*j**2 - 3*j + 3. Let u be y(3). Suppose -u*a + 3*t + 2 = -25, -3*a + 2*t + 27 = 0. Solve a*g - 4*g - 25 = 0 for g. 5 Let i(s) = s**3 - 7*s**2 + 10*s. Let x be i(5). Solve x = z - 2*z for z. 0 Suppose a + 46 = 3*a. Let s be (-39)/39*(0 - 3). Solve a = s*l + 8 for l. 5 Suppose -12 = -2*d + d. Let h = d + -12. Solve 5*u + 0*u = h for u. 0 Let z(k) = 2*k + 1 + 1 - 3. Let n be (-3)/12 + 27/12. Let p be z(n). Solve -u - p = -5 for u. 2 Suppose 7 = 2*b - 3. Suppose 0 = -b*d + d + 8. Solve d*k = -k - 6 for k. -2 Let q = -22 + 24. Solve q*v - 6 = -0*v for v. 3 Suppose 0 = 2*d - 13 - 1. Solve d = -3*s - 5 for s. -4 Let t(w) be the first derivative of w**2 - 6*w - 8. Let z be t(4). Solve -2*k - z*k = -12 for k. 3 Let p(f) = -2*f**3 - 3*f**2 - f + 1. Let a be p(-2). Suppose 3*s - a*s = 0. Solve s*i = -2*i + 8 for i. 4 Let z(b) = b**2 + 9*b + 2. Let a(c) = c**2 + 8*c + 2. Let r(x) = 5*a(x) - 4*z(x). Let m = 9 + -13. Let d be r(m). Solve 2 + d = 2*i for i. 2 Let q = 33 - 31. Solve -8 = q*x + 2 for x. -5 Let n = 11 - 6. Solve -n = -8*i + 3*i for i. 1 Let i be -2*(-2 + 0)*-2. Suppose 5*p - 21 = 34. Let f = i + p. Solve z - 2*z = -f for z. 3 Let u = -2 - -4. Suppose 0 = 4*a - 13 + 1. Let r(v) = 2*v**3 - 5*v**2 + 3*v. Let l be r(a). Solve l + u = 5*z for z. 4 Let r = -21 - -25. Solve 0 = j + r*j - 15 for j. 3 Let y(h) = -h**3 + 6*h**2 - 4*h - 3. Let m be y(5). Let c be m + (0 - (0 + 0)). Solve 0 = c*s - 2 for s. 1 Suppose 0 = -3*n + 2*l - 0*l + 14, -3*n + 7 = 5*l. Let o be (-6)/(-4) + n/8. Let v = -9 - -12. Solve 0 = -o*k - v*k for k. 0 Suppose -2*a + 2 = -2. Let h = 10 - 10. Solve -5*z + a*z = h for z. 0 Let r be 3/(-12) - 9/(-4). Suppose -4*y - 5*k = -56 + 4, -4*y = k - 36. Let x be 36/y - 2/4. Solve 0 = -s + r*s - x for s. 4 Let v(s) = -s + 1. Let p be v(-2). Let t = 0 + p. Solve 0*b = t*b for b. 0 Suppose -3*h + 5*w = -h + 11, 0 = -3*h + 3*w - 12. Let j be (0 - (-3)/9)*0. Let f be (-3)/h + j + 0. Solve 4 + f = -i for i. -5 Let h(o) = o**3 - 1 - 2*o + 0 - 2 - 2*o**2 - o**2. Let z be h(4). Solve z*a - 3*a = -6 for a. -3 Let u(w) = w**2 - 6*w - 12. Let q be u(8). Solve q*s + 4 = -8 for s. -3 Let h be (-6)/((-3)/4*1). Let m(k) = 5*k + 20. Let o be m(-5). Let d = o + h. Solve 8*x = d*x for x. 0 Let b = -79 + 82. Let o(s) = 3*s**2 - 4*s + 2. Let x be o(2). Solve -b*y = -x*y + 9 for y. 3 Let q = 22 - 19. Let r(j) = j**2 - 2*j + 4. Let h be r(4). Solve h + q = 5*y for y. 3 Let b = 68 - 65. Solve b*o + 20 = -2*o for o. -4 Let i = 44 + -30. Let f be -8*4/8 + i. Let b(q) = -q**2 - 6*q + 2. Let o be b(-6). Solve 2*d - o = -f for d. -4 Suppose 2*z = -3*j + 14, -z + 12 = 3*j + j. Solve -2*k + 4 = -j for k. 3 Let p(a) = -3 + 7*a + 9 - 5. Let z be p(2). Solve 2*v + z = 7*v for v. 3 Let b be (-4)/2 - (-5 + -1). Suppose 0 = -5*n - 31 - b. Let a = n + 7. Solve z - 5*z = a for z. 0 Let v = 29 - 21.
{ "pile_set_name": "DM Mathematics" }
(b) 1/3 (c) -4/7 (d) -7 (e) 7 a What is the fourth biggest value in 1/9, 1/5, 153, -3.37? -3.37 What is the second smallest value in -1.8, 8570, 1/6? 1/6 Which is the second biggest value? (a) 68 (b) -6 (c) -84 (d) -1/5 d What is the third biggest value in 1.1, 828, -7/4? -7/4 What is the second biggest value in -1, 4, -49? -1 Which is the biggest value? (a) 6 (b) 3 (c) 0.1 (d) 0.4 (e) -10 (f) -48 a Which is the fourth biggest value? (a) -4 (b) -0.04 (c) 3 (d) 0.15 a Which is the second biggest value? (a) 30 (b) -7314 (c) -0.5 c What is the fifth biggest value in -18, -0.5, 0.13, 0, -4? -18 Which is the second smallest value? (a) -1/3 (b) -0.0309 (c) -9 a Which is the biggest value? (a) 20 (b) 1/4 (c) 13 a Which is the second biggest value? (a) 0.288 (b) 258 (c) -1 a What is the biggest value in -1, -18, -1/10, 4, -5? 4 What is the third smallest value in 0.125, -1981, 0.4? 0.4 What is the second biggest value in 289/79, -2/119, -0.3? -2/119 What is the third biggest value in 9/5, 5/3, -2.1, 4/5, -0.1, -0.24? 4/5 Which is the second smallest value? (a) -4.2 (b) -17 (c) -166 b Which is the third smallest value? (a) -1/3 (b) 1919 (c) 1/6 (d) -0.08 (e) -3/2 d What is the third smallest value in 5, -2, -5, 3/37, -9? -2 What is the biggest value in 3, 20, 299, 5? 299 What is the second smallest value in -4, 0.1, -0.0638, -0.7? -0.7 Which is the smallest value? (a) -36 (b) 2/5 (c) -1924 c Which is the third biggest value? (a) 28 (b) 42 (c) 3 c Which is the third smallest value? (a) -4/23 (b) 0.05 (c) -5 (d) -0.3 (e) 0.5 a What is the third smallest value in 3, -13, -1, 0.05, 0.5? 0.05 Which is the biggest value? (a) -3 (b) -5 (c) 15861 c Which is the biggest value? (a) 6/7 (b) 3/2293 (c) 1 (d) -4 (e) -1 (f) -2/23 c What is the third smallest value in -0.2, -184.5, 28/27? 28/27 What is the third smallest value in -1/7, -11/29, -0.13? -0.13 What is the third smallest value in 0, 2, -4/3, 9068? 2 What is the biggest value in 25/16, -499, -3? 25/16 What is the third biggest value in 0.2, 0, -24994? -24994 Which is the second biggest value? (a) 4/3 (b) 11 (c) -2686 a What is the fifth smallest value in 371, -6, -1, 0.7, -4/3, -3/2? 0.7 Which is the second smallest value? (a) 2 (b) -0.1 (c) 1850/67 a Which is the sixth biggest value? (a) 1/4 (b) -1/2 (c) -2 (d) 0.798 (e) -1 (f) -4/5 c Which is the fourth biggest value? (a) 0 (b) 0.6 (c) -73 (d) 11 c What is the second smallest value in 4, 1, 542, 1/4, 4.6, 0.5? 0.5 What is the fourth biggest value in -3, 5, 3/8, 0.6? -3 Which is the fourth biggest value? (a) 4 (b) 0.1 (c) -8 (d) -3/41 c What is the second smallest value in -2, -2/3, -1/3374, -3, -0.43, -5? -3 What is the second smallest value in 4/23, 1/2, 0, -34, -3? -3 Which is the smallest value? (a) -522 (b) 2 (c) 0 (d) 3/662 a Which is the smallest value? (a) -11 (b) 0.1 (c) 5 (d) 1/4 a Which is the biggest value? (a) 0.28 (b) 2 (c) 5 (d) -58 c What is the fifth smallest value in -2/13, 2/9, -498, 0.4, -1, -0.4? 2/9 Which is the biggest value? (a) 2 (b) 0.4 (c) 0.2 (d) -2/19 (e) 144 (f) -0.01 e What is the third smallest value in 112, -2/7, -1.5? 112 What is the smallest value in 131, 10, -1, -58, -5? -58 Which is the fourth biggest value? (a) -39 (b) 3 (c) -11/6 (d) 1/5 a What is the biggest value in 2, 1.82, -5, 8, -3? 8 Which is the sixth biggest value? (a) 2 (b) 0.2 (c) 3 (d) -3 (e) -1/3 (f) 14.4 d Which is the smallest value? (a) -2/41 (b) 0.09 (c) 175 a What is the second smallest value in 2/5, -0.2, 0.14, -3/11, -161? -3/11 Which is the second biggest value? (a) -0.2 (b) 2156 (c) 60 c Which is the fourth biggest value? (a) -0.3 (b) 3 (c) 1/842 (d) -5 d Which is the third biggest value? (a) -1/546 (b) -0.3 (c) 34 b What is the smallest value in 1/4, -1/9, -2483, 1/2? -2483 Which is the fourth smallest value? (a) -2/9 (b) 4 (c) 0.4 (d) -119 (e) 0.2 c Which is the second smallest value? (a) 0.29 (b) 172 (c) 3 (d) -1 a Which is the sixth smallest value? (a) -1.6 (b) 1/3 (c) -0.1 (d) 9 (e) 2/7 (f) 27 f What is the second biggest value in -0.5, -3.84, -2/5, 0.5? -2/5 Which is the sixth smallest value? (a) 3 (b) -0.2 (c) -0.4 (d) 25 (e) 5 (f) -5/4 d What is the biggest value in 21, 2, 0.05, 26/7? 21 What is the third biggest value in -47, -4, -13, 209? -13 What is the third biggest value in 0.3, -485, -0.5, 119? -0.5 What is the second smallest value in -41006, -1, -4? -4 Which is the third biggest value? (a) 1 (b) 87/4 (c) 3 (d) -5/2 a Which is the smallest value? (a) 19 (b) -0.2 (c) 0.203 (d) -5 (e) 2 d Which is the fourth smallest value? (a) 0 (b) -19655 (c) -3 (d) -1 a What is the fourth biggest value in 2/13, -2.3, 0.5, -0.5, -5, -8? -2.3 Which is the fourth biggest value? (a) -0.028 (b) -4/3 (c) -4/5 (d) -0.1 (e) 9.5 c Which is the smallest value? (a) -41 (b) 3 (c) -5 (d) 0.5 (e) -3/5 a Which is the smallest value? (a) 0.2 (b) -0.4 (c) 2 (d) 1.85 (e) -16 e What is the third smallest value in 17/86, -0.01, 2, -5? 17/86 Which is the second biggest value? (a) -1/9 (b) 0.156 (c) -138 a What is the third biggest value in -2, -3/8, 1/55, 70, 2/9? 1/55 What is the third biggest value in 3, 0.067, 0.5, 4, 0? 0.5 Which is the third biggest value? (a) -0.2 (b) -9/2 (c) 145.5 (d) 6/11 a Which is the biggest value? (a) -1/3 (b) 92 (c) 9 (d) -4 (e) 2 b Which is the third biggest value? (a) 2948 (b) 6 (c) 0.2 c What is the second smallest value in -29, -0.3, 3, -1, 0.59, -0.5? -1 What is the biggest value in -2, -5, 2/19, 0.058193? 2/19 Which is the third biggest value? (a) -100/23 (b) -3/5 (c) 8 a What is the third biggest value in -2328, -1/3, -3, -4? -4 What is the fifth biggest value in 5, 2, -8890/13, 0.3, -3? -8890/13 Which is the fifth biggest value? (a) -2 (b) -5 (c) 5 (d) -4/3 (e) -29 e Which is the third biggest value? (a) -1/4 (b) -0.2 (c) 0.14 a Which is the biggest value? (a) -1/4 (b) 8 (c) -35 (d) -1.76 b What is the biggest value in -0.1, 5734, -4/7, -1? 5734 Which is the biggest value? (a) -0.3 (b) 0.3 (c) -5/4 (d) 0.196 b What is the sixth smallest value in -0.4, 0.024, 2.8, -5, 4, 1/5? 4 What is the second smallest value in 1/35, -5, 1/3, 202, -0.1, -2? -2 Which is the third biggest value? (a) 2/11 (b) -0.2 (c) 1587 b What is the third smallest value in -13, -2/15, -86, -1/9, -2? -2 Which is the biggest value? (a) 1/5 (b) 5 (c) 1/4 (d) 1/3 (e) -5/4 (f) 1/551 b Which is the third biggest value? (a) -3/11 (b) 17/2 (c) 4 (d) -49/5 a Which is the second smallest value? (a) 0.2 (b) 3530 (c) 69 (d) 2/3 (e) 0.4 e What is the biggest value in 944/3, 0.01, 0, 2/9? 944/3 What is the fifth biggest value in -98, -5, -2, 3, 37, 0.2? -5 Which is the third biggest value? (a) 8/2245 (b) -0.1 (c) 0.11 b Which is the smallest value? (a) 2/9 (b) -4/443 (c) -1 c What is the third biggest value in -0.3, 2, -0.2, 4669? -0.2 Which is the smallest value? (a) -4 (b) 0.3 (c) -6/8075 a Which is the biggest value? (a) -3 (b) -2/13 (c) 0.5 (d) 258440 (e) -0.3 d Which is the smallest value? (a) -1/3 (b) 3 (c) -2/47 (d) -2/5 (e) 0.5 (f) 5 d Which is the second smallest value? (a) 0.3 (b) -9177 (c) -0.2 (d) -3 (e) -2.3 (f) -2 d What is the fourth smallest value in -1/8, -0.1, 6, -4, 37? 6 What is the third smallest value in -192, -1, -6, -4, 4? -4 Which is the biggest value? (a) -6/11 (b) 1 (c) 0.2 (d) 18 (e) 4/3 (f) -6 d Which is the fifth smallest value? (a) 3/4 (b) -4 (c) 1645 (d) -2 (e) -5 c What is the fourth smallest value in 14384, 4, -4, -2, -1, 2/15? 2/15 What is the second biggest value in 0, 50/79, 25, 3, -1/7? 3 What is the second biggest value in -9, 3/5, 5, -0.1, -1/14, -1? 3/5 Which is the sixth biggest value? (a) -20 (b) -3 (c) 1/2 (d) -23 (e) -4 (f) 1/11 d Which is the third smallest value? (a) 4 (b) 2/17 (c) 0.04 (d) -3/19 (e) 2/15 (f) -5 c Which is the second smallest value? (a) -2/29 (b) -2 (c) 4713 a Which is the third biggest value? (a) 10 (b) -2/21 (c) 170 b Which is the fourth smallest value? (a) 1 (b) -1/3 (c) -462 (d) 2 (e) 2/19 (f) 1/2 f Which is the biggest value?
{ "pile_set_name": "DM Mathematics" }
Solve 82*h - 85*h = 4*s + 7, -3*h + 5 = s for h. 3 Solve -30 + 19 = 2*u - 5*j, 0 = 3*u + 4*j + 28 for u. -8 Solve u - 4*s + 21 = 0, -4*u + 26 = 5*s + 5 for u. -1 Solve 2*s + 8 + 7 = 3*v, -15 = s - 3*v for s. 0 Solve -2*u + 4*z = -20, 5*z = 3*u - 28 + 1 for u. 4 Solve -q + 3*o = -10, -2 = 3*o + 10 for q. -2 Solve -2*a - 16 = -z - 18, 0 = -3*z + 12 for a. 3 Solve -2*j = -61*m + 58*m + 3, 3*j = -3*m + 3 for j. 0 Solve -15*s = -11*s + 3*l + 10, 5*s + l + 18 = 0 for s. -4 Solve 0 = -5*v - h - 5, 6*h - h = 0 for v. -1 Solve 6*q - 5 = 3*v + 11*q, 0 = 2*v + q + 1 for v. 0 Solve 3*t + 405 - 410 = 4*c, 0 = -2*t - 5*c + 11 for t. 3 Solve -14 = -q + 3*n, 5*q + 120*n - 14 = 121*n for q. 2 Solve -5*x + 2*y + 15 = 5*y, 9 = 3*x + 5*y for x. 3 Solve -3*i + 3*g - 9 = 8*g, -4*i - 3*g - 1 = 0 for i. 2 Solve 4*m - 4*y + 44 = 0, 4*y - 575 + 580 = -3*m for m. -7 Solve 4*f - 4*v = 16, -4*v + 20 = -f - 9*v for f. 0 Solve 5*p + s = 2*p + 17, 10 = 5*s for p. 5 Solve -10*y + 2 = -12*y, 4*f - 16 = -4*y for f. 5 Solve 45*n - 40*n = -4*f, -3*f = -n + 19 for f. -5 Solve 0 = -n + 5*l - 1 - 9, 4*n - l + 21 = 0 for n. -5 Solve -2*v - 1 = 2*p + 1, 0 = -2*p - 5*v - 8 for p. 1 Solve 0 = -4*s - 2*h, -70*s + 4 = -68*s + 2*h for s. -2 Solve -2*s = 2*f + s + 9, -3*f - 6 = 2*s for f. 0 Solve -6*i + 9 = -2*i + 3*n, -2*n = -6 for i. 0 Solve -2*u - 2*m = -0*u, 3*u - 4*m = 28 for u. 4 Solve -54*u - b - 1 = -51*u, 3*u - 19 = -5*b for u. -2 Solve v + 7 = -2*i, -6*v = -11*v + 2*i + 13 for v. 1 Solve -3*k - 4*q = -31, 7*k - 11*k + q = -16 for k. 5 Solve -3*b - 2*c + 4 = -b, -5*c - 10 = 0 for b. 4 Solve -2*z + 2*w - 8 = -0*z, -5*w + 20 = 2*z for z. 0 Solve 0 = -2*x + 53*d - 56*d + 15, -4*x = 5*d - 25 for x. 0 Solve 0 = -2*t + 20, 12 - 62 = 3*c - 5*t for c. 0 Solve -4*n + 16 = 0, -8*k + 2*n = -9*k + 12 for k. 4 Solve -3*o - 4*t + 12 = -3*t, -4 = -o - 2*t for o. 4 Solve 5*s - 2 = -f, -8*s + 5*s - 3*f + 6 = 0 for s. 0 Solve -r - 18 = -4*z, 3*z - r - 2*r = 9 for z. 5 Solve 4*x + x - 25 = 5*h, -x - 7 = 5*h for h. -2 Solve -2*y - 37 = -5*z, 3*y = 13*z - 9*z - 31 for z. 7 Solve -4*d = 0, -d = -5*w - 0*d - 20 for w. -4 Solve -3*f + 2*u = -2 + 3, -5*f - 8 = 3*u for f. -1 Solve -u = 6*j - j - 5, 5*u - 25 = -3*j for j. 0 Solve 16*c - 25 = i + 11*c, 2*i + c + 6 = 0 for i. -5 Solve 0 = -2*z + 3*s + 13, -3*z = -0*s + 2*s for z. 2 Solve 0 = c + 4*s + s - 26, -3*s + 12 = -3*c for c. 1 Solve 13*n = 11*n - 4*l - 6, 4*l = 4*n - 12 for n. 1 Solve -5*p + 7*p + 6 = 0, 3*p = -5*d + 16 for d. 5 Solve -5*b - 23 = 3*v, 4*b - 3*b = -5*v - 9 for v. -1 Solve 4*c + 605 = -4*a + 589, 2*c + 8 = 2*a for c. -4 Solve -29*k + s = -25*k - 19, 2*k - 5 = 5*s for k. 5 Solve 0*q + 2*b = 3*q - 2, 0 = 4*q + 5*b + 28 for q. -2 Solve 11*i = -5*y + 7*i - 5, y = 5*i - 30 for y. -5 Solve -26*q = -4*y - 31*q - 32, -2*q - 14 = 2*y for y. -3 Solve 3*y + 4*c = 6 - 11, 3*y + c = 1 for y. 1 Solve -2*p + 3 = -m, m - 12 = -11 for p. 2 Solve 0 = 4*d - 5*u + 6, d - 33*u = -31*u for d. -4 Solve 3*h - 1 = 4*z, 0 = 32*h - 33*h - 5 for z. -4 Solve 3*v - 2*q - 12 = 0, -3 + 23 = 5*v - 5*q for v. 4 Solve p - 10 = 3*p, -26 = -3*j + 4*p for j. 2 Solve 4*l = 8*l + 12, 4*x = 3*l - 11 for x. -5 Solve -h - 22 = -4*f - 17, -1 = -2*f + h for f. 2 Solve -5 = -5*c + 43*d - 38*d, -2*d + 1 = -5*c for c. -1 Solve 4*a + 4*c - 5*c = 1, 4*c + 16 = 4*a for a. -1 Solve 4*u = -f + 2, 3 + 11 = -5*f + 4*u for f. -2 Solve 2*c + 2*c + 16 = 2*j, 0 = 3*j + 3*c - 6 for j. 4 Solve 5 = -w - p, 4*w + 3*p + 20 = 2*p for w. -5 Solve 114*u + 22 = 109*u - 3*m, -u + 18 = -5*m for u. -2 Solve -3*u - 25 = 2*k, 45 = -4*u - 17*k + 12*k for u. -5 Solve -3*c + 6 = 3*i, -4*i - 103*c + 107*c = -32 for i. 5 Solve -a = 3*j - 7 + 11, 5*j + 3*a + 4 = 0 for j. -2 Solve -2*x + 2*u - 14 = 5*u, -4*x + 16 = -5*u for x. -1 Solve p + q = 8, -4*p + q + 15 + 2 = 0 for p. 5 Solve 3*b + 20 = -4*d, -2*b + 45*d - 43*d = -10 for b. 0 Solve 21 = 2*q + 4*a + 1, 5*a = -q + 22 for q. 2 Solve r = m + 6 + 1, -2*m + 16 = 4*r for m. -2 Solve 0 = s + 5*l - 2, -5*l + 18 = 3*s + 2 for s. 7 Solve 5*h - 2*f = 18 + 3, 3*f + 9 = 0 for h. 3 Solve -12*s - 10 = -14*s - a, -8 = -4*a for s. 4 Solve -s = -6*s - 2*r - 27, 21 = -4*s - r for s. -5 Solve 0 = -3*u + 5*o, -37*u + 2*o = -34*u for u. 0 Solve -t = 20*k - 16*k - 20, -12 = -2*k - t for k. 4 Solve -95*s + 92*s - 17 = -2*z, -4*z + 28 = -4*s for z. 4 Solve -5*z - 25 = -2*o, -8*o + 3*o + 5*z = -25 for o. 0 Solve 20 = -4*x, 0 = -3*p + 2*x + 11 + 5 for p. 2 Solve -2*c - 5*k = -0*c + 10, 3*k = 5*c - 6 for c. 0 Solve -6*i + 4*v + 16 = -i, 10 = 3*i - 2*v for i. 4 Solve -q - 4 = 2*c - 3, 0 = q - 3*c + 1 for q. -1 Solve -j - 4 = -4*g - 3, 4*j + 4 = -5*g for g. 0 Solve -3*w - 23 = -c - 21, 5*c = 4*w - 12 for c. -4 Solve 3 = c - p, 0 = -2*c + 9*p - 5*p + 10 for c. 1 Solve -3*a + 9 = -y, 0*a - 2*y - 2 = -2*a for a. 4 Solve -z - 13 = 4*i, 0 = 3*z + 4*i - 1 + 16 for z. -1 Solve -4*o - 4*v = -4, 0 = -2*o + 7*o + 4*v - 1 for o. -3 Solve -8*a = -4*a - b - 17, 4 = 3*a + b for a. 3 Solve -5*w - 2*z + 3 = 0, -4*w - z = -3*z - 6 for w. 1 Solve -4*l + 4*f = -4, -2*l + 4*f + 28 - 36 = 0 for l. 6 Solve 2*l - 4*q - 14 = 0, -13*q + 14*q + 14 = 4*l for l. 3 Solve -90*x + 4*w = -91*x - 17, -3*w + 6 = -3*x for x. -5 Solve 10 = m + 5*s, -4*s + 2 = -10 for m. -5 Solve 5*v - r - 4 = 0, 283*r = 281*r - 8 for v. 0 Solve -23*u - 3*y = -19*u - 7, 5*u = 5*y for u. 1 Solve 0*u - 2*o + 36 = -12*u, 0 = 4*u - o + 14 for u. -2 Solve 4*x + 2 = h - 3, -3*x = 2*h + 1 for h. 1 Solve u - 20 = 5*w, 3*w + 11 = -3*u + 17 for u. 5 Solve -w + 18 + 9 = -9*v, 4*w + 5*v + 15 = 0 for w. 0 Solve -2*f + 5*t = 1, 0*f - 4*t = -5*f - 11 for f. -3 Solve 0 = 3*h + 6, -o = 57*h - 62*h - 9 for o. -1 Solve 2*q = -f - 2 + 3, -2*f = -3*q + 19 for f. -5 Solve -3*c - 9 = -2*r - 4, -16 = -4*r for c. 1 Solve -4 = -4*a, 0 = 2*u - 3*a - 30 + 43 for u. -5 Solve 0*u + a - 16 = 4*u, -5*a - 40 = 4*u for u. -5 Solve 0*c - 4*x + 36 = -5*c, 12 = c + 4*x for c. -4 Solve 4*n - 3*j = -4, -179*n + j - 8 = -181*n for n. 2 Solve 3*l - i - 7 + 18 = 0, 4*l - 5*i = -33 for l. -2 Solve 4*g + n + 21 = 0, g = -5*n + 25 - 54 for g. -4 Solve -5*o - 11 + 16 = -2*l, 0 = -5*l + o + 22 for l. 5 Solve 0 = -3*o - 3*c - c + 24, 5*c = 15 for o. 4 Solve 0 = j - 2*l - 10, -j - 2*l = -0*l + 6 for j. 2 Solve 3*m - 3*r = -0*m + 9, -4*m - 5*r + 12 = 0 for m. 3 Solve 3*o - 2*y = 14, 0 = o - 285*y + 284*y - 5 for o. 4 Solve 0 = 4*p + 2*l, -5*p - 1 = -4*l - 27 for p. 2 Solve 3*d - 3 = -4*t, -3*d = t - 6*t - 3 for d. 1 Solve 2*d = m + 5, -d + 10 = 3*m - 2*d for m. 5 Solve -5*c = 98 - 118, 3*q = 5*c - 20 for q. 0 Solve 5*v - 4*n = -13 + 38, -5*v = -12*n - 65 for v. 1 Solve -3*m + 27 = 4*y, 5*m + y - 101 = -73 for m. 5 Solve x - 3*c + 5 = 0, -2*x - 25 = 3*x - 4*c for x. -5 Solve -1 = 4*h - 3*c, 0 = -2*h - 2*c + 7*c + 3 for h. -1 Solve -a + 15 = 2*a + 3*m, 0 = 2*a + 4*m - 10 for a. 5 Solve 12*r + 14 = 4*c + 11*r, -c = 2*r - 8 for c. 4 Solve 21 = 5*g - 2*o, 3 = -4*g + 10*o - 15*o for g. 3 Solve 0 = -5*b + 2*a - 33, -40*b = -42*b - a - 6 for b. -5 Solve 0 = -2*x - 3*x + d + 13, 0 = 3*x - 4*d - 1 for x. 3 Solve f + b + 0*b = -7, 0 = 5*f + 4*b + 32 for f. -4 Solve 3*l + 0*s = 3*s, 5*l + s - 18 = 0 for l. 3 Solve -4*a - 4*n + 24 = 0, 3*a = 4*n + 5 - 1 for a. 4 Solve -2*u - 5*w = 4, -4*u - w = 4*w + 8 for u. -2 Solve -13*j = -10*j - p + 8, 4*p = j - 1 for j. -3 Solve -2*l + 14 = 4*g, 6*l + 3*g = l for l. -3 Solve -4*g = -3*x - 7, 7*x + 3 = 8*x for g. 4 Solve 2 = -5*k + t, 6 = 4*k - 3*t + 1 for k. -1 Solve 5*o - 5*v = 0, 2*o - 2*v = -o - 2 for o. -2 Solve 2 = -2*d, 0 = -t - 3*d - 15 + 17 for t. 5 Solve 2*w - 10 = -5*k, -4*k + 5*w + 2 = 27 for k. 0 Solve -4*g + 4 = d, 0 = -g + 3*d + 1 - 13 for g. 0 Solve 5*q - 17*v + 14*v = -3, 4*v = 4 for q. 0 Solve n - 2 = 0, 7*s = 2*s + 5*n - 5 for s. 1 Solve -17 = z + 4*o, -3*z - 6*o = -3*o + 6 for z. 3 Solve -4*h - 3 = 3*m, 2*h + 6 = 5*h + 5*m for h. -3 Solve 6*v - 7*r - 6 = -3*r, 6 = 3*v - r for v. 3 Solve 4*n - 5*n = -5*o - 30, 4*o + 4*n = 0 for o. -5 Solve -4*n + 2*b + 1 = n, -5*n + b + 3 = 0 for n. 1 Solve x - 4*l = 6 + 9, -x + 3*l = -12 for x. 3 Solve 4*w - 4 = -4*n, 14*w - 16 = 10*w for n. -3 Solve r + 3*m = -12, -4*r - 21 = -2*m + 5*m for r. -3 Solve 5*w = 2*a + 10, -5*w - 3*a - 19 = -54 for w. 4 Solve -1 = 2*r - 2*z - 3, 4*r + 5*z + 41 = 0 for r. -4 Sol
{ "pile_set_name": "DM Mathematics" }
, -1/10 Sort 0, -353, -5014 in descending order. 0, -353, -5014 Put -34, 4, -42442 in decreasing order. 4, -34, -42442 Sort -1/6, -0.001067, -3/7 in descending order. -0.001067, -1/6, -3/7 Sort 2, 12, 0, -2/17, 0.3, -0.4. -0.4, -2/17, 0, 0.3, 2, 12 Put 1, -21.733, -0.4 in ascending order. -21.733, -0.4, 1 Sort 3, -3, 0, -0.287. -3, -0.287, 0, 3 Sort -4, 0, 14, 27189 in descending order. 27189, 14, 0, -4 Put 393, -108, -2 in descending order. 393, -2, -108 Sort -5, -1/593, 12. -5, -1/593, 12 Put 7, 1, 0, 4, -13, 3 in increasing order. -13, 0, 1, 3, 4, 7 Put -3, 0, -2, -75, 703 in decreasing order. 703, 0, -2, -3, -75 Sort 1, 0.7, 8422 in decreasing order. 8422, 1, 0.7 Put 0.4, -0.7, -847, 1, 4/5 in decreasing order. 1, 4/5, 0.4, -0.7, -847 Sort -27503, 5, -13 in decreasing order. 5, -13, -27503 Put 1, -2, 5, -2607 in increasing order. -2607, -2, 1, 5 Sort 2/17, -6/11, 37, -16, -0.2, 2 in ascending order. -16, -6/11, -0.2, 2/17, 2, 37 Sort 0, -538, -72, 1. -538, -72, 0, 1 Sort 4, -18, -4, 0, 17, -3. -18, -4, -3, 0, 4, 17 Put -0.0051, 1371, 2/3, 3/5 in decreasing order. 1371, 2/3, 3/5, -0.0051 Put -62, -93, -3, -2, -69 in increasing order. -93, -69, -62, -3, -2 Sort 71, -39, 3/8, 1/4, 4 in ascending order. -39, 1/4, 3/8, 4, 71 Put 0.547, -4, -0.32, -1 in increasing order. -4, -1, -0.32, 0.547 Put -48, -109, 5, -4 in ascending order. -109, -48, -4, 5 Sort 17, 19326, 5, 1 in ascending order. 1, 5, 17, 19326 Put 0, -541, -81 in descending order. 0, -81, -541 Sort -99, -15, -3, 4, 5 in decreasing order. 5, 4, -3, -15, -99 Sort 5, -103, -6, 2 in ascending order. -103, -6, 2, 5 Put -9, 2, 1, 7050 in descending order. 7050, 2, 1, -9 Put 1, -116, 0, -0.2 in descending order. 1, 0, -0.2, -116 Sort 388, 3, 2, -5, -2. -5, -2, 2, 3, 388 Put -5, 1, -3, -116, 235, 0 in decreasing order. 235, 1, 0, -3, -5, -116 Sort -2/7, 0.3, 3, 51, 17 in increasing order. -2/7, 0.3, 3, 17, 51 Put 1, -412, -1, 20 in ascending order. -412, -1, 1, 20 Sort 5, 0.2, -2/13, 0.5, 19, 39. -2/13, 0.2, 0.5, 5, 19, 39 Sort 1, -1/4, -0.5, 509. -0.5, -1/4, 1, 509 Sort 4, 30, -2469 in decreasing order. 30, 4, -2469 Put 5, 0, -5, -271, -1 in decreasing order. 5, 0, -1, -5, -271 Sort -0.05, 22, 1/4, 11/2, -1/3, -3 in ascending order. -3, -1/3, -0.05, 1/4, 11/2, 22 Sort 3, 3257, 45 in increasing order. 3, 45, 3257 Sort -5, -1, 5, 93798, 3 in descending order. 93798, 5, 3, -1, -5 Sort 204, -1, -5 in increasing order. -5, -1, 204 Sort -0.4, -3, 163, 4, -29 in ascending order. -29, -3, -0.4, 4, 163 Sort -37/15, 0.04, -0.3, -5/4. -37/15, -5/4, -0.3, 0.04 Sort -182/9, -2/47, 2.3 in descending order. 2.3, -2/47, -182/9 Sort 0.08645, -1/4, 3 in decreasing order. 3, 0.08645, -1/4 Sort 6196, 3, 1. 1, 3, 6196 Put -4, -18, -6, -39 in descending order. -4, -6, -18, -39 Sort 1, 77, 3, -19. -19, 1, 3, 77 Sort -8, 5, -5, -4, 0, -34 in increasing order. -34, -8, -5, -4, 0, 5 Put 2, 4, 0, -4, 53, -2 in increasing order. -4, -2, 0, 2, 4, 53 Put 1, -3, 4437687 in ascending order. -3, 1, 4437687 Put -1, 3, 2, -3, -4, 494 in descending order. 494, 3, 2, -1, -3, -4 Put 47, 30, 1, -21 in descending order. 47, 30, 1, -21 Sort 0.2, -1/136, 2/15, -1, 8, 3. -1, -1/136, 2/15, 0.2, 3, 8 Put 1, -1, 24, -3, 3 in decreasing order. 24, 3, 1, -1, -3 Sort -2419, 24, 5 in increasing order. -2419, 5, 24 Put 5, -43, 8, -5 in ascending order. -43, -5, 5, 8 Put 216, -3, -38, 1, 2 in increasing order. -38, -3, 1, 2, 216 Put 0.2, -73, 133, 1 in descending order. 133, 1, 0.2, -73 Put -9, 148, -2, -1/4 in decreasing order. 148, -1/4, -2, -9 Sort -0.3, 57, 0.359 in descending order. 57, 0.359, -0.3 Sort -2, 16, -4, -12, 4, 39 in increasing order. -12, -4, -2, 4, 16, 39 Sort -2, -0.2, 2, 5.361 in ascending order. -2, -0.2, 2, 5.361 Put 2/31, -5, -37, 4, 0.08, -1.5 in descending order. 4, 0.08, 2/31, -1.5, -5, -37 Sort -3, 0.2905, 0.3, -0.04. -3, -0.04, 0.2905, 0.3 Sort -13, 6, 0.11, 59 in decreasing order. 59, 6, 0.11, -13 Put 400, 4/121, -1 in descending order. 400, 4/121, -1 Put 0, 17, -623, -4, -3, 3 in ascending order. -623, -4, -3, 0, 3, 17 Sort -614, -3, 0, -4, 2 in decreasing order. 2, 0, -3, -4, -614 Sort 0.042, 16, -0.4, 3 in decreasing order. 16, 3, 0.042, -0.4 Put 5/12, -2, 2/7 in decreasing order. 5/12, 2/7, -2 Sort 5, -4, 59/2616, -3/2, -0.1 in descending order. 5, 59/2616, -0.1, -3/2, -4 Put 1258, -3, -12 in ascending order. -12, -3, 1258 Sort -43, 176, 6 in decreasing order. 176, 6, -43 Put -4, 5, 4339 in descending order. 4339, 5, -4 Sort 0.039, -5, 1, -1, 0.03, -4/9 in ascending order. -5, -1, -4/9, 0.03, 0.039, 1 Put -20, 130, -11, 5 in increasing order. -20, -11, 5, 130 Sort 54867/22, -3, 3/8 in increasing order. -3, 3/8, 54867/22 Sort 0, -4, 30, -1, 11. -4, -1, 0, 11, 30 Sort 58.04, 2, -1/55 in descending order. 58.04, 2, -1/55 Sort -3, 5, -0.076, 63, 2/11, 0 in increasing order. -3, -0.076, 0, 2/11, 5, 63 Sort -4.564, -2, -7, -3. -7, -4.564, -3, -2 Sort -7, 2, 51, 0, -6, 4. -7, -6, 0, 2, 4, 51 Put -2, 1, 100, -95 in decreasing order. 100, 1, -2, -95 Sort -1, 3, -10996, -2. -10996, -2, -1, 3 Sort 33, -1, -2, 0, -521. -521, -2, -1, 0, 33 Sort 12, 50, 33 in increasing order. 12, 33, 50 Sort 3413, 4, 3, 310 in descending order. 3413, 310, 4, 3 Put 2/2497, 0.1, -2/3, 0.5 in decreasing order. 0.5, 0.1, 2/2497, -2/3 Sort 0.2, 0.01, -3, -2/1167 in increasing order. -3, -2/1167, 0.01, 0.2 Sort 2, 15, 1238 in descending order. 1238, 15, 2 Sort 24, -15972, 4 in ascending order. -15972, 4, 24 Sort 6/7, 0.1, 2/123 in increasing order. 2/123, 0.1, 6/7 Sort -0.4, -5, -3, 40117 in increasing order. -5, -3, -0.4, 40117 Sort 1/4, -4, -31, 3099 in decreasing order. 3099, 1/4, -4, -31 Sort 7, -1/7, 1/6, 58, -0.4. -0.4, -1/7, 1/6, 7, 58 Put -43, 4, -28, 0.3 in ascending order. -43, -28, 0.3, 4 Put 6, -3, -40, 4, -4 in decreasing order. 6, 4, -3, -4, -40 Put -169, 4, 7, -146/7 in increasing order. -169, -146/7, 4, 7 Put -1243, -0.3, 0.5, 2/3 in descending order. 2/3, 0.5, -0.3, -1243 Sort 4, -53, -2 in decreasing order. 4, -2, -53 Sort -1, -2712, 1/3, 0.04, 27 in descending order. 27, 1/3, 0.04, -1, -2712 Sort 39.754, 4, 2/15 in ascending order. 2/15, 4, 39.754 Put 0.096, -0.095, -0.5 in ascending order. -0.5, -0.095, 0.096 Sort -1619, -2, -1 in decreasing order. -1, -2, -1619 Put -20, 24, -60, 0, 4, 2 in ascending order. -60, -20, 0, 2, 4, 24 Put 2, -4, 3/19, 572 in decreasing order. 572, 2, 3/19, -4 Put -16, -70, -3/178 in descending order. -3/178, -16, -70 Sort -0.0077, -5, -0.7, -3, 4, 0.3. -5, -3, -0.7, -0.0077, 0.3, 4 Put 3, -1, 1, -3/8, -2045, 2/7 in descending order. 3, 1, 2/7, -3/8, -1, -2045 Sort -7, 4, -149, -5, -4. -149, -7, -5, -4, 4 Put -2, 35218, -5 in ascending order. -5, -2, 35218 Sort -3, -19, 5, -4, 7, 19. -19, -4, -3, 5, 7, 19 Sort 1, -9, -201, 3, 4. -201, -9, 1, 3, 4 Sort -6, -2, -10, -3/11, -26 in ascending order. -26, -10, -6, -2, -3/11 Sort -13, -408, 0 in decreasing order. 0, -13, -408 Put 5, 8, 9, -3, -14 in ascending order. -14, -3, 5, 8, 9 Put -0.1, -1141, -2/5 in ascending order. -1141, -2/5, -0.1 Sort -1639, -1/11, -51, -3 in decreasing order. -1/11, -3, -51, -1639 Put 0.6, -11/25, -16/5 in ascending order. -16/5, -11/25, 0.6 Put 25505, 3, 43 in descending order. 25505, 43, 3 Sort -41, 1, -1, -52, -3 in descending order. 1, -1, -3, -41, -52 Sort -80, -12, 5, -1. -80, -12, -1, 5 Put -2, 1, 3, 8, 6050 in ascending order. -2, 1, 3, 8, 6050 Sort 5.3, 5, 6, 42/11 in descending order. 6, 5.3, 5, 42/11 Put 721, 1/2, 0.046, 3/8 in descending order. 721, 1/2, 3/8, 0.046 Sort -3/8, 9.5, -2, 1 in decreasing order. 9.5, 1, -3/8, -2 Put 3, 74, 0.0401 in ascending order. 0.0401, 3, 74 Put -3, -21, -4, 24, 5 in decreasing order. 24, 5, -3, -4, -21 Sort 1/6, -0.2, 0, 0.4, 2, 2/33 in increasing order. -0.2, 0, 2/33, 1/6, 0.4, 2 Put 1/3, -2/3, -21761, 0.1 in decreasing order. 1/3, 0.1, -2/3, -21761 Put 2, -19722, -1 in increasing order. -19722, -1, 2 Sort -2, 2.3, -714, 4, -0.5, -2/7 in decreasing order. 4, 2.3, -2/7, -0.5, -2, -714 Put -689, -8, 2, 5/2, 0.2 in decreasing order. 5/2, 2, 0.2, -8, -689 Sort 20, 0, -2442, 5 in increasing order. -2442, 0, 5, 20 Put 1/7, 0.2, -0.01, 12, 3 in descending order. 12, 3, 0.2, 1/7, -0.01 Sort 85, -5, 5, -7 in ascending order. -7, -5, 5, 85 Put 1616, -3, 1, -2 in ascending order. -3,
{ "pile_set_name": "DM Mathematics" }
(sqrt(272) + -3)**2*-3. -843 + 72*sqrt(17) Simplify 1 + 3 + 1 + sqrt(162) + 0. 5 + 9*sqrt(2) Simplify (sqrt(11) - (sqrt(11) + sqrt(33)/(2*sqrt(3))))*-2. sqrt(11) Simplify -2*sqrt(147) + (sqrt(3) + 2*1*sqrt(3) - sqrt(3)) + sqrt(3). -11*sqrt(3) Simplify (sqrt(896)*-2 + sqrt(896))/(-3*sqrt(200)). 4*sqrt(7)/15 Simplify -1*sqrt(5) + 3 + sqrt(5) + sqrt(5) + sqrt(5) + 3. 2*sqrt(5) + 6 Simplify 5*(sqrt(48) + -5). -25 + 20*sqrt(3) Simplify -1*(((sqrt(19) - 2*sqrt(19)) + -2)**2 + (sqrt(152)*-3)/sqrt(8)). -23 - sqrt(19) Simplify (sqrt(143) + sqrt(143) + sqrt(143) + sqrt(143)*1)/sqrt(11) + -1. -1 + 4*sqrt(13) Simplify sqrt(180) - (-3 + sqrt(720) - sqrt(720)). 3 + 6*sqrt(5) Simplify (sqrt(125) + (sqrt(125) - 1*sqrt(125)*-6) + sqrt(125))**2 - ((sqrt(125) + 1)**2 + 1). -10*sqrt(5) + 9998 Simplify (-4 + (sqrt(2) + (sqrt(32)/sqrt(2))/sqrt(8) - (sqrt(2) - -2*(0 + sqrt(2)))))**2. 8*sqrt(2) + 18 Simplify ((-2*sqrt(1296))/(-4*(sqrt(3) + sqrt(48))))**2. 108/25 Simplify sqrt(84)/(sqrt(300) - sqrt(12))*-2*4. -2*sqrt(7) Simplify (-6*-6*(sqrt(112) + (sqrt(112) - (-1 + sqrt(112)))))**2. 10368*sqrt(7) + 146448 Simplify (sqrt(19)*1*4 + 3 + sqrt(76)/(sqrt(64)*-1 + sqrt(4)))**2. 22*sqrt(19) + 2380/9 Simplify (sqrt(35)/(sqrt(7) + sqrt(63)) - sqrt(5)) + -6*(-1 + sqrt(5) + sqrt(5)). -51*sqrt(5)/4 + 6 Simplify (sqrt(225) + sqrt(225) + (2*sqrt(225) - sqrt(225)) - sqrt(225) - sqrt(225))/(sqrt(270)/sqrt(6)). sqrt(5) Simplify (1 + (sqrt(99) - (-2 + sqrt(99)*-1)) + sqrt(99))*-3. -27*sqrt(11) - 9 Simplify (sqrt(112)/(sqrt(7) + sqrt(28)))/(sqrt(16)/sqrt(2)*-2). -sqrt(2)/6 Simplify -4*((-4*sqrt(15))/sqrt(3) + sqrt(5)). 12*sqrt(5) Simplify sqrt(80)*-5 + sqrt(60)/(-1*sqrt(12)). -21*sqrt(5) Simplify (-5*(0 + sqrt(704)))**2. 17600 Simplify ((1 + sqrt(176))*-2)**2. 32*sqrt(11) + 708 Simplify 5 + (sqrt(3888) - (-2*sqrt(3888) + sqrt(3888)))**2*4. 62213 Simplify 1 + (sqrt(36)/(-2*sqrt(768) + sqrt(768)))**2. 67/64 Simplify (sqrt(15) - (sqrt(90)*-1)/sqrt(6))/sqrt(3) + 0. 2*sqrt(5) Simplify -3 + (sqrt(4) + 1*sqrt(16)/sqrt(4))/((sqrt(24)*-2)/sqrt(12)). -3 - sqrt(2) Simplify ((sqrt(312) + sqrt(312)*1*4)/sqrt(6))**2. 1300 Simplify sqrt(1088) - ((sqrt(1088) + 2)*-3)**2. -9828 - 280*sqrt(17) Simplify (-1*(sqrt(66) + sqrt(66)*-2 + sqrt(66)))/((1*sqrt(6) + sqrt(6))*-3). 0 Simplify -3 + sqrt(325) - -4*sqrt(26)/sqrt(2). -3 + 9*sqrt(13) Simplify sqrt(7) + sqrt(56)/(sqrt(8)*-1) - (sqrt(7)*-2 + 4). -4 + 2*sqrt(7) Simplify (sqrt(66)*1*5)/((sqrt(42)*2)/sqrt(7)). 5*sqrt(11)/2 Simplify (-1*sqrt(192))**2 + 4*sqrt(48) - (sqrt(12)/sqrt(4)*-2 + ((sqrt(24) + (sqrt(96)/sqrt(4) - sqrt(24) - sqrt(24)))/sqrt(8))**2). 18*sqrt(3) + 192 Simplify (2*sqrt(80)*-4 + -5)*2. -64*sqrt(5) - 10 Simplify 3*(sqrt(19) + 0)*-4. -12*sqrt(19) Simplify -3 + (sqrt(91) - ((3*-2*sqrt(91) - sqrt(91)) + sqrt(91)))/sqrt(7). -3 + 7*sqrt(13) Simplify (sqrt(220)*-3)/sqrt(11). -6*sqrt(5) Simplify sqrt(13) + 2*sqrt(1300) + (sqrt(13) - 3*sqrt(26)/sqrt(2))**2. 52 + 21*sqrt(13) Simplify ((sqrt(132) + -3*-2*sqrt(132) + sqrt(132))/(sqrt(1200)*-2))**2. 44/25 Simplify (sqrt(704) + (sqrt(704) - (sqrt(704) + 1)))**2*-1. -705 + 16*sqrt(11) Simplify (-1*sqrt(12) + -1)*-2. 2 + 4*sqrt(3) Simplify (-4 + (1*sqrt(11))**2)*-2. -14 Simplify -5 + -6*(sqrt(605) + 3)**2. -3689 - 396*sqrt(5) Simplify -4 + sqrt(1584)*2 + sqrt(1584) + sqrt(1584)*-1*1. -4 + 24*sqrt(11) Simplify -6*(sqrt(1008) + (-2*(1 + sqrt(1008)))**2). -24216 - 648*sqrt(7) Simplify (sqrt(475) + (3*sqrt(475) - sqrt(475) - sqrt(475)))**2 - (sqrt(2736) + -1). -12*sqrt(19) + 1901 Simplify (sqrt(5) + 0)*-6 + -5. -6*sqrt(5) - 5 Simplify 4 + ((sqrt(99) + -1 - sqrt(99)) + sqrt(99) + 5 + sqrt(99))**2. 48*sqrt(11) + 416 Simplify -5 + sqrt(13) + sqrt(208) + 3. -2 + 5*sqrt(13) Simplify ((-2*sqrt(72) + sqrt(72))*2*5)**2. 7200 Simplify -1 + (sqrt(612) - (sqrt(612) + (sqrt(612) - (sqrt(612) - (1 + sqrt(612) - sqrt(612))**2)))) + 4. 2 Simplify (5 + -1 + sqrt(1053) - (-2 + 1 + sqrt(1053) + sqrt(1053)))**2. -90*sqrt(13) + 1078 Simplify (3*(sqrt(228)*-5)/sqrt(12))**2. 4275 Simplify (sqrt(204)*4)/sqrt(12) - (sqrt(17) + (sqrt(17) - (1 + sqrt(17))*2)**2). -21 - sqrt(17) Simplify (5 + sqrt(19) + sqrt(76)/sqrt(4))*1 + -1. 4 + 2*sqrt(19) Simplify (2*sqrt(20)/sqrt(250))**2. 8/25 Simplify (-4*(sqrt(704) - (sqrt(704) - (sqrt(704) + -1))))**2*-2. -22560 + 512*sqrt(11) Simplify (0 + sqrt(45))**2 + 3. 48 Simplify -6*(3 + (5*(-2 + sqrt(19)))**2). -3468 + 600*sqrt(19) Simplify 3*(6*(sqrt(704) + 0)**2 + 0). 12672 Simplify sqrt(114)/(sqrt(6) - ((sqrt(6) - -1*sqrt(6))*2 - sqrt(6))) - ((sqrt(2299)*1 + sqrt(2299))*2)**2. -36784 - sqrt(19)/2 Simplify ((sqrt(110) + (sqrt(110) + -2*(sqrt(110) - sqrt(110)*2) - sqrt(110)))/sqrt(10))**2. 99 Simplify ((sqrt(250) - sqrt(10))*-3)/((-2*sqrt(720) - sqrt(720)) + sqrt(720)). sqrt(2)/2 Simplify (-4*(sqrt(75) + 1 + -1 - sqrt(75)))**2. 0 Simplify (sqrt(12)/sqrt(36)*6)**2*3. 36 Simplify (sqrt(38) - (sqrt(1368) - sqrt(38))*2)/((sqrt(4) - sqrt(36))/sqrt(2)). 9*sqrt(19)/2 Simplify (sqrt(171)/((sqrt(9) + sqrt(27)/sqrt(3) + sqrt(9))*3))**2. 19/81 Simplify ((1 + sqrt(7))*-5)**2 + -4. 50*sqrt(7) + 196 Simplify 2 + 2*(sqrt(5)*-2)**2. 42 Simplify -4 + (sqrt(91) + 2*sqrt(91)*-1)/sqrt(7). -4 - sqrt(13) Simplify (-6*(sqrt(5) - (sqrt(30)*-3)/sqrt(6)))**2. 2880 Simplify sqrt(104)/(sqrt(2) - (sqrt(450) + sqrt(18))/sqrt(9)) + -2. -2 - 2*sqrt(13)/5 Simplify ((sqrt(240)*1)/(sqrt(132)/(sqrt(55)/sqrt(5))))**2. 20 Simplify (sqrt(19)*-3*-3 + 1*(-4*sqrt(19) - sqrt(19)))**2. 304 Simplify sqrt(2673)/sqrt(3) - (sqrt(11)*6 + 3). -3 + 3*sqrt(11) Simplify (sqrt(11) + sqrt(99) + 0)*-5. -20*sqrt(11) Simplify 1*sqrt(99)/(sqrt(576)*-2). -sqrt(11)/16 Simplify (3*sqrt(52))**2 + -5. 463 Simplify 0 + (-4 + sqrt(2448) + (sqrt(2448) - -1*sqrt(2448)))**2. -288*sqrt(17) + 22048 Simplify -4*(sqrt(2) + ((sqrt(32))**2 - sqrt(2))*-5). -24*sqrt(2) + 640 Simplify (5 + (sqrt(112)*-2 - sqrt(112)) + -1)**2. -96*sqrt(7) + 1024 Simplify ((2*sqrt(3328) - sqrt(3328))/sqrt(4) - (4 + -6*sqrt(13)*1))**2. -112*sqrt(13) + 2564 Simplify (-1*(sqrt(120)/(sqrt(12)/sqrt(2)) - sqrt(20))*6)**2. 0 Simplify 1 + sqrt(1584) - (3 + (sqrt(11)*2 - sqrt(11)))**2. -19 + 6*sqrt(11) Simplify (sqrt(112) + -1)**2 + (sqrt(7) - (sqrt(343) + 5)**2). -255 - 77*sqrt(7) Simplify (1*sqrt(19))**2 + 2 + (sqrt(19) - (1 + sqrt(38)/sqrt(2) + sqrt(19))). -sqrt(19) + 20 Simplify (3*(1 + sqrt(11)) + -1 - (-2*-1*sqrt(132))/sqrt(12))**2. 4*sqrt(11) + 15 Simplify ((sqrt(224)/(sqrt(28) - sqrt(7)) - sqrt(32))*-4*2)**2. 0 Simplify (-1*(sqrt(300) + 1))**2 + (4*(1 + sqrt(27)))**2. 116*sqrt(3) + 749 Simplify (sqrt(275) - -6*1*sqrt(275))**2 - sqrt(275) - ((sqrt(275)*-1)**2 + sqrt(275) + -2). -10*sqrt(11) + 13202 Simplify (-1*sqrt(152)*5)/(sqrt(96)/sqrt(48)). -10*sqrt(19) Simplify ((1*sqrt(76)*-1)/(sqrt(16)/(sqrt(4)*-2)))**2. 76 Simplify -5 + 5 + (sqrt(176)*2 - sqrt(11))**2. 539 Simplify (-1*3*sqrt(132)/(sqrt(36)/sqrt(3) - sqrt(12) - sqrt(12)))**2. 99 Simplify (((sqrt(84)*2)/sqrt(12) + sqrt(77)/sqrt(176))*6)**2*4. 5103 Simplify 5*(sqrt(5) + (sqrt(80) - (-1 + sqrt(80)))**2)*3. 15 + 15*sqrt(5) Simplify (-5*(sqrt(130) + 2*sqrt(130)))/sqrt(10). -15*sqrt(13) Simplify sqrt(77)/((sqrt(560)/sqrt(10))/sqrt(8)). sqrt(11) Simplify (-2*(sqrt(70) + (sqrt(70) - sqrt(70)*-2)))/sqrt(10)*4. -32*sqrt(7) Simplify -3*(-1 + sqrt(44) + sqrt(44)). -12*sqrt(11) + 3 Simplify (sqrt(33)/((sqrt(3) + sqrt(12) + sqrt(3))*-5))**2. 11/400 Simplify (sqrt(272)*2)**2 + -4 + 2 + 4. 1090 Simplify 5 + sqrt(405) + sqrt(405) + -1. 4 + 18*sqrt(5) Simplify -3*((sqrt(612) + -1 + sqrt(17) + sqrt(17) + sqrt(17))*-3)**2*-2. -972*sqrt(17) + 74412 Simplify (0 + sqrt(2)*2)**2 - (1 + sqrt(98) - sqrt(98)). 7 Simplify sqrt(396) + sqrt(396) + ((sqrt(396) - -3*(sqrt(396) - 4*sqrt(396))) + sqrt(396) + sqrt(396))**2. 12*sqrt(11) + 14256 Simplify (sqrt(117)*4)**2 + sqrt(13) - (3 + sqrt(13) + -1)**2. -3*sqrt(13) + 1855 Simplify (3*(sqrt(136) + 2*sqrt(136) + sqrt(136)) - sqrt(136))/sqrt(8). 11*sqrt(17) Simplify ((sqrt(76)/(sqrt(12)/sqrt(3)) - sqrt(19)) + sqrt(475) + 5)**2. 50*sqrt(19) + 500 Simplify (sqrt(168)/(sqrt(14)/sqrt(2)))/(2*sqrt(48) + sqrt(48)). sqrt(2)/6 Simplify ((sqrt(19) - (0 + sqrt(19))**2) + 4 - (sqrt(171) + -1)) + (sqrt(2299)*-1 - sqrt(95)/(sqrt(20)/sqrt(4)))**2. -2*sqrt(19) + 2722 Simplify sqrt(11) + -2 + sqrt(539) + 3. 1 + 8*sqrt(11) Simplify -3 +
{ "pile_set_name": "DM Mathematics" }
**5 + 4*m**5 + (0 - 2*m**3 + 0)*(-m**2 + 71*m**2 - 119*m**2). 99*m**5 Expand -61*y - 19*y**4 + 61*y + (4*y**3 - y**3 - y**3)*(3 - 2*y - 3) - y**4 - 2*y**4 + 2*y**4. -24*y**4 Expand (-13 + 15 + 11)*(0 + 1 + 2)*(-3*f**2 - 2*f**2 + f**2). -156*f**2 Expand (-213 - 172 + 436)*(-k + 0*k - k)*(0 - 4 + 3). 102*k Expand -11 + 11 + 14*q + (0 + 2 - 1)*(q - q - q). 13*q Expand (5*o + 161*o**4 - 5*o)*(0 + 1 - 3). -322*o**4 Expand (-3 + 96*g**3 - 2*g**2 - 184*g**3 + 93*g**3)*(-6*g**2 - 5*g**2 + 2*g**2). -45*g**5 + 18*g**4 + 27*g**2 Expand -7*l + 2*l**2 + 6*l - l**3 + 0*l**2 + (0*l - l + 4*l)*(0*l**2 + 0*l**2 + 2*l**2). 5*l**3 + 2*l**2 - l Expand (-k**2 + 2*k**2 + k**2)*(16 - 24*k - 16) - k**3 - k + k - k**3 + 0*k**3 - 9*k**3 + (0*k**2 + 0*k**2 - 2*k**2)*(k - k + k). -61*k**3 Expand (2 - 2 - 18*r)*(-5 + 1 + 3). 18*r Expand (4 - 4*d**2 - d - 3 + 1)*(-6 + 3 + 2)*(0 + 4 + 4). 32*d**2 + 8*d - 16 Expand 4 - 3*g**4 - 4 + 5*g**4 - g**4 + g**4 + (-3*g + 2*g**2 + 3*g)*(g**2 - 2*g + 2*g) + 2*g + 3*g**4 - 3*g**4 - 2*g**4 - 8*g**4 - 27 + 27. -6*g**4 + 2*g Expand 136 - 136 + 6*h + 56*h - 16 + 16 + (1 - 2*h - 1)*(4 + 1 - 6). 64*h Expand (-182*t - 166*t + 273*t + 5)*(2 + 0 + 1). -225*t + 15 Expand (4*m - 5*m + 3*m)*(2*m - 3*m - m) + 58*m**2 - 41*m**2 + 146*m**2 + 5*m**2 - 2*m**2 - m**2. 161*m**2 Expand (0*m - m - 2*m - 2)*(-12 + 17 + 18*m - 19*m). 3*m**2 - 13*m - 10 Expand (-1 + 1 + 2)*(-6 - 4 - 3)*((0 + 1 - 2)*(3*p - 4*p + 0*p) + p - 5 + 5). -52*p Expand -6*m**2 - m**4 + 6*m**2 + 5*m**4 - m**4 - m**4 + 3*m**3 - 3*m**3 + m**4 + (-3*m**3 + 5*m**3 - 4*m**3)*(3 - 3 + m). m**4 Expand (0*i**3 + 2*i**3 + 0*i**3)*(-i**2 - i + i) + (-i**2 + i**3 + i**2)*(-37*i**2 + 1012*i**2 - 594*i**2). 379*i**5 Expand (-4 - 1 + 3)*(4 - 3*q**4 - 4) + (-7*q + 2*q + 0*q)*(-4*q**3 + 2*q**3 + 0*q**3). 16*q**4 Expand (0*k**2 - 4*k**2 + 3*k**2 + (0*k + 4*k - 2*k)*(2*k - 2*k - 2*k) + (-3*k + 3*k + 2*k)*(-22 - 7*k + 22) + 3*k**2 + 3 - 3)*(0 + 0 + k**3). -16*k**5 Expand (206 + 99 - 115)*(-r + 6*r - 4*r). 190*r Expand 34*o - 42*o + 4 + 19*o + 0*o - o - o + (o - 3*o + 3*o)*(-1 + 2 - 2). 8*o + 4 Expand (-6 + 3 + 0)*(2*g**2 + g**4 - 2*g**2) + 2*g**4 + g**4 - 2*g**4 - 8*g**2 + 256*g - 256*g + g**4. -g**4 - 8*g**2 Expand (-7*h + 19*h + 11*h)*(0 + 0 + 3)*(3*h - 2*h - 2*h)*(1 + 0 + 1). -138*h**2 Expand (-20 - 58 - 13)*(-3 + 1 + 1)*(-2*u + 0*u + 0*u)*(-1 + 6 + 2). -1274*u Expand (-y + 2*y + y)*(0*y**3 + 2*y**3 - 4*y**3) + (15*y + y - 2*y)*(2*y**3 - 2*y**3 + 2*y**3) - 16*y**4 + 18*y**2 - 18*y**2 + (2 - 2 - 2*y**3)*(y + 5*y - 4*y). 4*y**4 Expand 83*t**2 - 83*t**2 - 23*t**3 - 3*t**3 + 2*t**3 + 6*t**3 + (t**2 - 2 + 2)*(-t + 2 - 2). -19*t**3 Expand (2*t + 1 - 1)*(-1 - 2*t + 1)*(-17*t**2 - 4*t**2 + 8*t**2). 52*t**4 Expand (3*w**4 - 2*w**4 + 3*w**4)*(-2 - 5 + 5) - 9*w**3 + 9*w**3 + 13*w**4. 5*w**4 Expand (-10*k - k + 2*k)*(3*k**3 - 2*k**3 + 2*k**3) + k**4 - 3*k**4 + k**4. -28*k**4 Expand (p - 5*p + 2*p)*(3*p**2 - 8*p**2 - 5*p**2). 20*p**3 Expand (1 - 1 + q)*(0 - 2 + 4) + 165*q + 185*q - 343*q + 54. 9*q + 54 Expand (2*t + 2*t - 3*t)*(30 + 62*t - 30) + (2*t + 0*t - t)*(-t + 3*t + t) + 2*t**2 + 0*t**2 - 4*t**2 - t**2 + 5*t**2 - t**2. 66*t**2 Expand -f**3 + f**3 + f**4 + (2*f**2 - 4*f**2 - f**2)*(132 - 4*f**2 - 132). 13*f**4 Expand (-3 + 1 - 1)*(-23253*b + 23253*b + 208*b**4). -624*b**4 Expand (3 + 1 - 7)*(3 + 1 - 1)*(0*j**2 - j**2 + 2*j**2 + (9*j**2 - 2*j**2 + j**2)*(4 - 5 + 2)). -81*j**2 Expand -4*g**2 - g**2 + 4*g**2 + (-1 + 1 - 2*g)*(5*g + 18*g - 32*g). 17*g**2 Expand (x - x + 2*x)*(-2*x + 0*x + 0*x) + (3*x + 8*x - 3*x)*(-4 + 4 + x) + 3 - 3 - 5*x**2 - 2. -x**2 - 2 Expand (-4*j - 3*j - 2*j + (-1 + 1 + 1)*(2*j + 0 + 0) + 2*j - 1 + 1)*(0 - 2 + 6). -20*j Expand 4*y**2 + 0*y**2 - 3*y**2 + (4 + 4 - 4)*(3*y**2 - 4*y**2 + 2*y**2) + (3*y + 0*y + y)*(0*y + 0*y - 2*y) - y**2 + 5*y**2 - 2*y**2. -y**2 Expand (1 + 2*k - 1)*(0*k + 3*k**2 + 0*k)*(14*k - 2*k + 14*k). 156*k**4 Expand (-2 - 1 + 1)*(-71*m - 110*m + 124*m)*(5*m**2 - 3*m**3 - 5*m**2). -342*m**4 Expand (2 + 1 + 2)*(i - i - i)*(2 + 0 - 3) - 2*i + 2*i - i. 4*i Expand (8*c + 2*c + 7*c)*(2*c**3 - 9*c**3 - 3*c**3). -170*c**4 Expand (-3*f**2 - 1 + 1 - f)*(-60*f**3 - 13*f**3 - 38*f**3). 333*f**5 + 111*f**4 Expand 4*j + 0*j - 2*j - 4 - 58*j + 3 + 16*j + (2 - 4 + 1)*(0*j - 3*j + 5*j) + j - 3*j + j. -43*j - 1 Expand (-3*u**2 + 10*u**2 + 6*u**2)*(2*u + 0*u - 3*u) - 14*u**3 - 3*u**3 - 2*u**3. -32*u**3 Expand -281*p**5 + 230*p**5 - 253*p**5 - p**3 + p**3 + 2*p**5 + 0*p**5 + 5*p**5 - 4*p**5 + (-p**2 - 4*p + 4*p)*(2*p**3 + p**3 - p**3). -303*p**5 Expand (-5*q + 5*q + 5*q + (-1 + 5 - 2)*(0*q + 3*q - 4*q) + 3*q + 0 + 0)*(7 + 0 - 1). 36*q Expand (163*p**2 - 500*p**2 + 168*p**2)*(-2 + 2 - 3*p). 507*p**3 Expand (-70*l + 241 - 244 - 70*l)*(5 - 2 - 4). 140*l + 3 Expand -8*y**2 + y**2 - 4*y + 0*y + (-y + 0*y + 0*y)*(-3*y + 4*y - 2*y). -6*y**2 - 4*y Expand (-m**2 + 6*m**2 - 3*m**2)*(13 - 13 - m) + 3*m**3 + m**3 - 17*m**3 + (-m**2 + 3 - 3)*(-2 + 2 + m) + 2*m**3 - 4*m**3 + m**3. -17*m**3 Expand (-84*h + 87*h - 4 + 11)*(-2*h**4 - 4*h**4 + 2*h**4). -12*h**5 - 28*h**4 Expand (2*d + 3*d - 4*d)*(0*d + 2*d - 4*d) - d**2 + 3*d**2 - d**2 + 40*d**2 - 11*d**2 + 3*d - 4*d. 28*d**2 - d Expand 2*f**4 - 3*f**4 + 4*f**4 + (3 - 5 + 1)*(3*f**3 - 2*f**4 - 3*f**3 + 4*f**4 - 5 + 5 + (0*f**3 + 3*f**3 - 2*f**3)*(0*f + 3*f - 4*f)). 2*f**4 Expand (-4 + 3 - 1)*(2*b + b + b)*(42*b**4 - 44*b**4 - 73*b**4). 600*b**5 Expand (-45 + 69 - 50 - z)*(-2*z - 3 + 2 + 3). 2*z**2 + 50*z - 52 Expand (272*n - 539*n - 22 + 269*n)*(n - 3*n + n). -2*n**2 + 22*n Expand (-6*i**5 + 4*i**5 + i**5 + 32*i**5 + 43*i**5 - 62*i**5 + (-3*i + 3*i + 2*i**5)*(3 - 2 + 0) + 3*i**5 - 3*i**5 - i**5)*(-2 - 1 - 1). -52*i**5 Expand (-2 - 2 + 1 + (1 - 4 + 1)*(-1 - 1 + 4))*(5 - 5 - 1)*(-5 + 4 + 2)*(2*g**5 - 12*g**5 + 70*g**5). 420*g**5 Expand (-6 + 1 + 2 - b)*((2*b - 3*b + 3*b)*(3*b**2 + b**2 - 6*b**2) - 2*b**3 - 4*b**2 + 4*b**2). 6*b**4 + 18*b**3 Expand (17*j + 3120 - 3120)*(-2*j + 2*j + 2*j). 34*j**2 Expand 10*m**2 - 3*m + 3*m + m**2 - 3*m + 3*m + (3*m**2 - 3*m**2 + 2*m**2)*(-2 + 1 + 0) - 4*m**2 - m**2 + 3*m**2 + 2*m**2 + 4*m - 4*m. 9*m**2 Expand (5 + 2*x - 1 - 3)*(-5*x**2 - x**2 + 7*x**2 + (x + x - 4*x)*(-5*x + 3*x + 0*x)). 10*x**3 + 5*x**2 Expand (-c**2 + c + 4*c**2 - 2*c**2)*(-3*c**2 + c**2 + 3*c**2)*(-18*c - 15*c + c). -32*c**5 - 32*c**4 Expand (4*x + 0*x - 5*x)*(-2*x + x + 2*x) - 288*x - 4*x**2 + 288*x + 1. -5*x**2 + 1 Expand ((-3 + 3 + 2*o**3)*(-1 + 6 - 4) - o**3 - 6*o**2 + 6*o**2)*(-5*o + 3*o + 0*o - o + 0*o + 0*o + (-2*o + 2 - 2)*(4 - 2 + 0) - 2*o - 8*o + 3*o). -14*o**4 Expand 0*k**4 - 2*k + 5*k**4 - 2*k**5 - 2*k**5 + (-4 + 0 + 2)*(k**5 + k**5 + 0*k**5) + 3*k**5 - 3 + 3. -5*k**5 + 5*k**4 - 2*k Expand -4*f**5 + 2*f**2 - 2*f**2 + (2*f**4 + 2*f**4 - 5*f**4)*(-30*f + 16*f - 39*f) - 2*f**5 + 0*f**5 + 0*f**5. 47*f**5 Expand (1 - 1 + 4)*(2*j**2 - j**2 + 0*j**2) - j**2 - 17*j - 52 + 11*j + 8*j. 3*j**2 + 2*j - 52 Expand (2*s + 4*s - 2*s)*(3*s + 0*s - s) + (-3 - 1 + 3)*(s**2 + 3*s - 3*s) + s**2 - 3*s**2 + s**2 + 48 - 5*s**2 - 48. s**2 Expand -11 + 15*x**3 + 0*x**3 - 24*x**3 - 2*x**2 + x**3 + 2*x**2 + (2*x**2 - 2*x**2 + 2*x**2)*(-2*x + x + 2*x) + 4*x**3 - 2*x**3 - x**3. -5*x**3 - 11 Expand 2*l + 3 - 3 + (-4 + 4 - 2)*(-3*l + 0*l + 2*l) - 2*l + l + 3*l + (-1 - 2 + 2)*(83*l + 156*l - 71*l). -162*l Expand q + 106 + 111 - 144 + (-q + q - q)*(0 + 3 - 1). -q + 73 Expand (3*g + g**3 - 3*g)*(3 + 2*g**2 - 3) - 4*g**5 - 6*g**5 - 2*g**5 + (-4*g + 3*g - g)*(-9*g**4 - 58 + 58). 8*g**5 Expand (-2*q + 2*q + 2*q)*(3*q**2 - q**2 - 4*q**2) - 88*q**3 - 37*q**3 - 67*q**3 - 5*q**3 + 4*q**3 - 2*q**3. -199*q**3 Expand p + 2 - 2 + (-4*p - p + 3*p)*(98 + 1193 - 181). -2219*p Expand (-4*a**2 + 2*a**2 - a**2 + (-6*a**2 + 3*a**2 + 4*a**2)*(0 - 1 + 3))*(a + a - 4*a). 2*a**3 Expand ((-3*o + 4*o + o)*(-3*o + 0*o + o) - 45*o**2 + 18*o**2 + 9*o**2)*(2*o - 2*o + 2*o + (6 - 3 - 1)*(5*o - 2*o - o) - o - 6*o - 31*o). 704*o**3 Expand (s**3 + s**2 - s**2)*(-37*s - 37*s - 55*s)*(3*s + 4*s - 2*s). -645*s**5 Expand (2*o**3 - o**3 - 2*o**3)*(o - 4*o + 4*o) - 2*o**4 + 53*o**2 + 8 + 53*o**2 - 108*o**2. -3*o**4 - 2*o**2 + 8 Expand -2*a**2 + 2*a**2 - 3*a**2 + (-a - 1 + 1)*(-25*a - 72 + 72). 22*a**2 Expand (0*v - 5*v + 3*v)*((0*v + 7*v - 3*v)*(4*v**2 - 2*v**2 - 4*v**2)*(-3 - 2 + 3) + 29*v**3 - 44*v**3 - 46*v**3
{ "pile_set_name": "DM Mathematics" }
+ 10. Let p(y) = y + 5. Let r be (-2 + 1)/((-8)/(-56)). Let w(k) = r*p(k) + 3*a(k). Give -3*h(n) + 2*w(n). -2*n + 2 Let z(x) = -8*x**2 + 6*x + 6. Let y(r) be the second derivative of 7*r**4/12 - 5*r**3/6 - 5*r**2/2 + 30*r. Calculate 6*y(d) + 5*z(d). 2*d**2 Let o(x) = -2. Let m(z) be the third derivative of z**5/60 + 5*z**3/6 - 3*z**2 + 2*z. What is -2*m(t) - 5*o(t)? -2*t**2 Let t(a) = 14*a**2 + 5*a + 5. Let v(x) = 27*x**2 + 9*x + 9. Determine -9*t(r) + 5*v(r). 9*r**2 Let x(t) = 3*t**3 - t**2 + 2. Let r(f) = 16*f**3 - 5*f**2 + 11. What is -2*r(i) + 11*x(i)? i**3 - i**2 Let h(p) = -3*p**2 + p - 3. Let x(l) = -13*l**2 + 3*l - 13. Determine 9*h(z) - 2*x(z). -z**2 + 3*z - 1 Let h(a) = 5*a**3 - 5*a**2 - 5. Let l(t) = -5*t**3 + 6*t**2 + 6. Give 6*h(g) + 5*l(g). 5*g**3 Let g(m) = -9*m - 4. Let v(q) = -10*q - 5. Give 7*g(h) - 6*v(h). -3*h + 2 Let i be 6*(-2)/12*-3. Let o(d) = -5*d + 11*d**2 - 3 + 1 - 6 - i. Let j(g) = -6*g**2 + 5 + 3*g + 6 - 5. Determine -7*j(f) - 4*o(f). -2*f**2 - f + 2 Let z = 16 + -9. Let a(x) = -z*x**3 - 2*x**3 - 5 + 2*x**3. Let w(t) = -10*t**3 + 3*t - 7. Let d(v) = -v. Let g(o) = 3*d(o) + w(o). Calculate 7*a(n) - 5*g(n). n**3 Let x(g) be the third derivative of -g**4/8 + 5*g**3/2 - 24*g**2. Let k(j) = -2*j + 8. Give 9*k(o) - 5*x(o). -3*o - 3 Let c(k) = -5*k. Suppose 2*a - 3 = 11. Let n(m) = 20*m + 8. Let f(x) = 13*x + 5. Let l(h) = 8*f(h) - 5*n(h). Give a*l(p) + 6*c(p). -2*p Let a(t) = -5*t + 5. Let o = -17 - -14. Let f(d) be the second derivative of d**3/3 - d**2 - d. What is o*a(r) - 7*f(r)? r - 1 Let g(n) be the first derivative of 2*n**3/3 + 5*n**2/2 + n - 1. Let j = 11 - 8. Let b(h) = -5*h + h**2 - j*h**2 - 1 + 0*h + h. What is 3*b(c) + 2*g(c)? -2*c**2 - 2*c - 1 Let h(c) = c**2 + c - 1. Let n be h(-3). Suppose -4*u + 5 = x, -x - n = -u - 5*x. Let g(o) = -4*o**2 - 4*o - 1. Let y(a) = -a**2 - a. Give u*g(w) - 6*y(w). 2*w**2 + 2*w - 1 Let n(f) = f**3 - 2*f**2 + 2*f + 2. Let w(l) = -l**3 - 4*l**2 + 6*l + 7. Let v be w(-5). Let z(j) = 2*j**3 - 3*j**2 + 2*j + 2. Calculate v*z(u) - 3*n(u). u**3 - 2*u - 2 Let f(g) = 2*g**2 + 5*g + 5. Let h(x) = 14*x**2 - 12*x - 4. Let r(y) = 2*y**2 - y. Let l(j) = -h(j) + 8*r(j). Give -4*f(b) + 5*l(b). 2*b**2 Suppose c = -2*c + 30. Let u(d) = -7*d**2 - 2*d + 5. Let s(j) = 0*j**2 - 3*j**2 - j**2 - j + 3. Let y(r) = -3*r + 6. Let h be y(4). Calculate c*s(a) + h*u(a). 2*a**2 + 2*a Let z(x) = -37*x**2 + 5*x - 6. Let c(f) = 38*f**2 - 4*f + 5. Calculate 6*c(j) + 5*z(j). 43*j**2 + j Let m(q) = -7*q - 2. Let o = -6 - -26. Suppose -o + 0 = 4*p. Let k(b) = -4*b - 1. Calculate p*k(z) + 3*m(z). -z - 1 Suppose 5*u = w + 22, w = -2*w + 5*u - 16. Let j(i) = 3*i**3 - i**2 - 2*i. Let q(x) = 4*x**3 - 2*x**2 - 3*x + 1. Calculate w*j(a) - 2*q(a). a**3 + a**2 - 2 Let r(x) = x**2 + x - 2. Let y(w) = -w**2 - w + 1. Suppose -10*l + 44 = -6. Give l*y(c) + 3*r(c). -2*c**2 - 2*c - 1 Suppose 4*a + 14 = 58. Let y(h) = -4 - 11 + 11 + 2*h**2. Let v(s) = 10 - 9*s**2 + 3*s**2 + 1. Calculate a*y(t) + 4*v(t). -2*t**2 Let p(m) = -m. Suppose -2*q - 3*s - 54 = -3*q, 5*s = -q + 86. Let l be q/24 - 6/8. Let k(x) = -x**2 + 2*x. What is l*p(f) + k(f)? -f**2 Let w(q) = -3*q**3 - 2*q**2. Let h(v) = -6*v**3 - 5*v**2 - v. Give -2*h(l) + 5*w(l). -3*l**3 + 2*l Let h(l) = 8*l**2 - 6*l + 13. Let w(g) = 7*g**2 - 5*g + 12. Determine 6*h(n) - 7*w(n). -n**2 - n - 6 Let k(f) = -2*f**2 - 7*f + 3. Let s(a) = -a**2 - 3*a + 2. Calculate -2*k(j) + 5*s(j). -j**2 - j + 4 Let f(j) = -9*j**3 - 11*j**2 - 7*j + 13. Let m(n) be the third derivative of n**6/30 + n**5/12 + n**4/8 - n**3 - 7*n**2. Give 3*f(z) + 7*m(z). z**3 + 2*z**2 - 3 Let h(z) be the first derivative of -2*z**2 + 5*z + 3. Let d be (12/(-10))/(8/(-20)). Let w(l) = -3*l + 4. Calculate d*w(q) - 2*h(q). -q + 2 Let p(d) = -6*d**2 + d + 3. Let b(q) = -5*q**2 + q + 3. Determine -7*b(v) + 6*p(v). -v**2 - v - 3 Let o(g) = 17*g**3 - 6. Let x(v) = -v**3 - 1. Give o(w) - 6*x(w). 23*w**3 Let b(v) = v**2 - v - 1. Let g(x) = 4*x**2 + 6*x + 3. Determine 5*b(q) + g(q). 9*q**2 + q - 2 Let v(c) be the third derivative of c**4/12 - 2*c**2. Let w(d) be the second derivative of -d**3/6 + 15*d. Let g = 0 - 3. What is g*w(h) - v(h)? h Let g = 0 - -2. Let r(l) = 2 + 3 - 4*l - 6*l**2 + 2*l**2 + l**g. Let z(o) be the third derivative of o**5/60 + o**4/24 - o**3/6 - o**2. Give -r(x) - 5*z(x). -2*x**2 - x Let v(n) = 8*n - 11. Let i(x) = -7*x + 10. Determine 6*i(b) + 5*v(b). -2*b + 5 Suppose 2*k - 4*k + 3*y = -5, 2*k + 2*y = 20. Let j(w) = -8*w**2. Suppose -i - r + 1 = 0, -3*i - 2*r + 14 = i. Let c(q) = 7*q**2. Give i*j(s) + k*c(s). s**2 Let x(n) = -131*n. Let m(i) = 33*i. Determine -26*m(z) - 6*x(z). -72*z Let b(v) = -v + 1. Let o = -3 - -6. Let x be 4 + (-3 - o/(-3)). Suppose u - 3 = x*u. Let y(q) = -q + 1. What is u*b(g) + 4*y(g)? -g + 1 Let q(w) = 5*w**2 + 4*w + 4. Let y(x) = -x**2 - 1. What is q(g) + 6*y(g)? -g**2 + 4*g - 2 Let q(r) = r. Let w(o) = -2*o. Calculate 8*q(f) + 5*w(f). -2*f Suppose -2*n + t + 27 = 0, -2 = -3*t - 17. Let v(f) = -10*f + 4*f + 3 + 5*f - 7. Let o(l) = -6*l - 21. Determine n*v(p) - 2*o(p). p - 2 Let g(m) = -m - 1. Let x(k) = -k + 4. Determine 6*g(p) - x(p). -5*p - 10 Let v(i) = -i. Let d(p) = -5*p - 1. Suppose 3*y = 7 + 2. Give y*v(j) - d(j). 2*j + 1 Let s(n) be the second derivative of -3*n**5/20 - n**4/6 - n**3/2 + n. Let w(f) = -16*f**3 - 11*f**2 - 16*f. Calculate 11*s(j) - 2*w(j). -j**3 - j Let f(g) = -3*g**2 - g + 4. Let w(k) = -66 + 73 + 0*k**2 - k - 6*k**2. Calculate -7*f(x) + 4*w(x). -3*x**2 + 3*x Let x(m) = m**2 - m - 1. Let n(v) = -9*v**2 - 5*v - 5. Determine n(d) - 5*x(d). -14*d**2 Let s(k) = -k**2 + 5*k**2 - 9*k**2 - 5 + 5*k. Let x(g) = -2*g**2 - g - 2. Let c(h) = 3*h**2 + 2*h + 3. Let v(o) = -3*c(o) - 5*x(o). Calculate s(j) + 3*v(j). -2*j**2 + 2*j - 2 Let f = 11 + 11. Let i(o) = -o**3 + 11*o**2 + 11*o + 11. Let x(l) = l**2 + l + 1. What is f*x(h) - 2*i(h)? 2*h**3 Let k(q) = -3*q**2. Let x(j) = -j**2. Suppose 7*l - 6*l + 4 = 3*p, 2*l = -2*p - 8. Determine l*k(w) + 11*x(w). w**2 Let a(n) be the second derivative of -n**4/2 + n**3/6 + n**2/2 - 52*n. Let j(f) = -5*f**2 + 2*f**2 + 2*f**2. Determine 2*a(t) - 11*j(t). -t**2 + 2*t + 2 Let u(y) = -4*y**3 - 3*y**2 + 3*y + 2. Let x(p) = -4*p**3 - 4*p**2 + 4*p + 2. Give -4*u(t) + 3*x(t). 4*t**3 - 2 Let i(d) = d**2 - 1. Let g(u) = -4*u**3 + 4*u**2 - 4. Let m(w) = w - 9. Let v be m(5). Determine v*i(b) + g(b). -4*b**3 Let a(j) = -2*j**3 + 3*j**2 + j + 2. Suppose 0*z - 3*z = 9. Let s(h) be the third derivative of -h**6/120 + h**5/60 + h**4/24 - 24*h**2. What is z*s(l) + a(l)? l**3 - 2*l + 2 Let y(l) = -9*l + 17. Let i = 9 + -13. Let c be -2*15 - i/1. Let f(s) = 2*s - 4. Determine c*f(r) - 6*y(r). 2*r + 2 Let l(n) = -n**3 + n + 3. Let d(b) be the third derivative of b**6/60 - b**4/12 - 5*b**3/6 - b**2. Determine -6*d(u) - 10*l(u). -2*u**3 + 2*u Let s(u) be the first derivative of 8*u**3/3 + u**2/2 - 4*u - 14. Let g(q) = 23*q**2 + 3*q - 11. Calculate 6*g(k) - 17*s(k). 2*k**2 + k + 2 Let z(r) = r**2 - r. Let h(d) = -d**3 - 2*d**2 - 4*d - 4. Let f(p) = -p**3 - 3*p**2 - 5*p - 5. Let w(b) = 3*f(b) - 4*h(b). Determine -w(l) - z(l). -l**3 - 1 Let r(o) = -o**2 - 1. Suppose 17*n = 15*n + 2. Let x(j) = -2*j**2 - 7. Give n*x(u) - 5*r(u). 3*u**2 - 2 Let g(s) = -s**2 + s - 3. Let j be (-32)/12 - ((-20)/(-15) + -2). Let b(x) = 2*x**2 - 3*x + 7. What is j*b(p) - 5*g(p)? p**2 + p + 1 Let z(i) = -3*i + 5. Let u(j) = -2*j + 4. Suppose 0 = -16*a + 17*a + 3. Give a*z(o) + 4*u(o). o + 1 Let d(f) = f**2 - f. Let k(r) be the first derivative of -2*r**3/3 + 3*r**2/2 - 3. What is 3*d(n) + k(n)? n**2 Let s(j) = -1. Let y = 19 + -21. Let q(h) = h + 1. Calculate y*q(f) - 2*s(f). -2*f Let j(n) = 4*n**2 + 1. Let s(w) = w**2 + w + 1. Let r(y) = -j(y) + 6*s(y). Let c(f) = 4*f**2 + 11*f + 9. Give -6*c(d) + 11*r(d). -2*d**2 + 1 Let v(i) = -7*i**3 - 2*i**2 - 6*i + 5. Let w(m) = -3*m**3 + m - 1 - 5*m**3 + 9*m**3. Give v(s) + 5*w(s). -2*s**3 - 2*s**2 - s Let y(p) be the second derivative of -2*p**4 - 7*p**3/3 + 7*p**2 + 23*p. Let x(v) = -5*v + 0 + 2*v + 3 - 5*v**2. Calculate 14*x(o) - 3*y(o). 2*o**2 Let d(w) = -6*w - 2. Let a(b) = 6*b + 3. Calculate 4*a(s) + 5*d(s). -6*s + 2 Let o(y) = 42*y. Let i(c) = -c. Let w(b) = -35*i(b) - o(b). Suppose -36 = -3*f + 9*f. Let q(h) = h. Determine f*
{ "pile_set_name": "DM Mathematics" }
he third derivative of 2*o**7/21 + 3*o**6/8 - 13*o**5/6 + 15*o**4/8 + 10*o**3/3 - 74*o**2. Let j(y) = 0. Calculate y. -4, -1/4, 1 Determine u so that -3 - 10*u**2 + 2*u**3 - 23/2*u = 0. -1/2, 6 Let l be ((-17)/51)/(1*1/(-6)). Factor 2*t**4 + 16*t**3 - 4 - 45*t**2 + 16*t**l - 5*t**4 + 20*t. -(t - 2)**2*(t - 1)*(3*t - 1) Factor -5*g**4 + 5671 + 10*g - 25*g**2 + 20*g**3 - 5671. -5*g*(g - 2)*(g - 1)**2 Solve -492 - 1106*p**2 + 21*p**5 + 288*p**4 - 122 + 14 + 1365*p**3 + 1260*p + 3632*p**2 = 0. -5, -2, 2/7 Let c be 19 + 189/(-14) + -5. Suppose -5*z + 35 = 5*o, 0 = -2*z - 3*z + 2*o. What is k in -k**z + 1/2*k**4 + 0 + 0*k - c*k**3 = 0? -1, 0, 2 Suppose -3*l = -2*q - 858, 4*l + 6*q - 1161 = 3*q. Determine i so that 33*i**2 - l*i - i**2 - 2*i**3 + 160*i = 0. 0, 8 Let n(r) be the second derivative of -r**7/56 + r**6/20 - r**5/40 - 8*r**3/3 + 7*r. Let v(u) be the second derivative of n(u). Solve v(f) = 0. 0, 1/5, 1 Let p = -274 - -1554. Find r, given that -1288*r**2 + 28*r**4 - 5*r + p*r**2 + 5*r - 20*r**3 = 0. -2/7, 0, 1 Let m = 30 + -89/3. Let y(g) be the first derivative of -g**2 + 0*g + m*g**6 + 0*g**4 - 4/3*g**3 - 3 + 4/5*g**5. Factor y(t). 2*t*(t - 1)*(t + 1)**3 Let i = 9 + -10. Let s = i + 4. Solve v**2 - 13*v**2 + 8*v - 3*v + s*v**3 + 10*v - 6 = 0 for v. 1, 2 Let b(a) be the second derivative of -1/45*a**5 + 1/135*a**6 + 1/54*a**4 + 0*a**2 + 0 + 16*a + 0*a**3. Factor b(z). 2*z**2*(z - 1)**2/9 Suppose 0*g - 95 = -5*f - 5*g, 3*g = -5*f + 93. Suppose -f = -5*z - z. Factor -10/7*a**z + 6/7*a**4 + 0 + 2/7*a**2 + 2/7*a. 2*a*(a - 1)**2*(3*a + 1)/7 Let a(q) = -20*q**3 + 65*q**2 + 55*q - 25. Suppose 3 = -10*c + 7*c. Let j(m) = -m**3 + m**2 - m - 1. Let g(y) = c*a(y) + 25*j(y). Determine h so that g(h) = 0. -4, 0 Let s be ((-9)/(-15))/(3/(-15)). Let f = 6 + s. Factor -52*k + 0*k**f + 3*k**3 + 55*k + 6*k**2. 3*k*(k + 1)**2 Let l = -149 + 166. Suppose -34 = -34*y + l*y. Determine s so that -11/3*s + 1/3*s**5 - 1/3*s**4 - 2*s**3 + 1 + 14/3*s**y = 0. -3, 1 Let x(s) be the third derivative of s**7/315 - 2*s**6/45 - 2*s**5/15 + 20*s**4/9 + 128*s**3/9 + s**2 - 272*s. Factor x(m). 2*(m - 8)*(m - 4)*(m + 2)**2/3 Let j(o) be the second derivative of 2*o**4/9 - 11*o**3/18 + o**2/2 + 3*o - 1. What is d in j(d) = 0? 3/8, 1 Suppose -5*x + x = 0. Suppose x = 2*v - 5*v + 12. Factor -12*q**4 + 18*q + 2*q**5 + 8 - v*q**2 + 28*q**3 - 28*q**2 - 12. 2*(q - 2)*(q - 1)**4 Let o(y) be the first derivative of -13*y**3 - 48*y**2 - 36*y - 582. Factor o(t). -3*(t + 2)*(13*t + 6) Let f(s) be the second derivative of -3*s**5/160 + s**4/16 + 9*s**3/16 - 27*s**2/8 + 4*s + 18. Solve f(q) = 0 for q. -3, 2, 3 Let f(t) = -t**3 + t + 4. Let p be 0/9*1/(-2). Let z be f(p). Factor x**5 + 16*x**4 - z*x**4 - 48*x - 48*x**2 + 4*x**5 - 2*x**5. 3*x*(x - 2)*(x + 2)**3 Suppose 9*u = 7*u + 24. Suppose -3*y - 8*m + 12 = -u*m, 0 = -2*y + m + 8. Find j such that -1/3*j**y - 8*j - 22/3*j**2 - 8/3*j**3 - 3 = 0. -3, -1 Solve 2/3*y + 0 + 2*y**3 - 2*y**2 - 2/3*y**4 = 0. 0, 1 Let v(m) = 7*m**3 + 45*m**2 + 133*m + 137. Let q(j) = 190*j**3 + 1215*j**2 + 3590*j + 3700. Let z(x) = -2*q(x) + 55*v(x). What is p in z(p) = 0? -3 Let y(x) be the second derivative of 1/180*x**6 + 2*x**2 + 0 - 4*x + 0*x**4 + 0*x**3 + 1/45*x**5. Let n(c) be the first derivative of y(c). Factor n(q). 2*q**2*(q + 2)/3 Let i be ((-2)/(-6))/(-1 - (-217)/126). Find x such that 2/13*x**5 - 4/13*x**2 - 2/13 + 4/13*x**3 - 6/13*x + i*x**4 = 0. -1, 1 Let u(j) be the first derivative of 2*j**3 - 38*j**2/3 + 16*j/3 + 19. Determine f, given that u(f) = 0. 2/9, 4 Let a(v) = -3*v - 4. Let u be a(-2). Factor u*d**2 - 44*d**2 + 87*d - 119*d - 8 - 18*d**3. -2*(d + 1)*(3*d + 2)**2 Let s(c) = -c**3 - 8*c**2 - 16*c - 3. Let q(w) = -w**2 + 2*w + 1. Let p(l) = -6*q(l) - 2*s(l). Factor p(n). 2*n*(n + 1)*(n + 10) Let x(h) be the third derivative of h**5/15 + 2*h**4/3 - 8*h**3 - 4*h**2 + 10*h. Find i such that x(i) = 0. -6, 2 Let i(c) = 2*c**2 - 16*c + 19. Let t be i(7). Suppose 0 + 0*n**2 - 7/8*n**t + 1/4*n**3 + 0*n + 5/8*n**4 = 0. What is n? -2/7, 0, 1 Let v(h) be the third derivative of -5*h**8/12096 + h**6/540 + 13*h**5/30 + 3*h**2. Let m(a) be the third derivative of v(a). Suppose m(b) = 0. Calculate b. -2/5, 2/5 Let n(f) be the third derivative of -f**7/1120 + f**6/288 - f**5/240 - f**3/6 - 9*f**2. Let g(x) be the first derivative of n(x). Factor g(t). -t*(t - 1)*(3*t - 2)/4 Suppose -k = 4*o - 21, -4*o + 15 = 6*k - 3*k. Let n(w) be the third derivative of 0 - 1/330*w**5 + 0*w**3 + 0*w + o*w**2 - 1/132*w**4. What is b in n(b) = 0? -1, 0 Let l(o) = -o**3 + 11*o**2 - 16*o - 21. Let k be l(9). Let r be k/6 - (0 + (-34)/20). Factor 0*m**2 - 2/5*m**3 + r*m - 4/5. -2*(m - 1)**2*(m + 2)/5 Factor -318 + 3*c + 8*c**2 + 194 - 164*c - 83*c. 4*(c - 31)*(2*c + 1) Suppose 79*o = 76*o + 2*u + 22, -5*u = o + 21. Determine r, given that 3/4*r**o + 15/4*r**3 + 3/2 + 27/4*r**2 + 21/4*r = 0. -2, -1 What is o in 139 - 4*o**2 + 32*o - 206 + 103 = 0? -1, 9 Let l(p) be the second derivative of 1/30*p**5 + 1/3*p**3 + 0*p**2 + 5/12*p**4 + 0 + 1/900*p**6 - 2*p. Let m(n) be the second derivative of l(n). Factor m(v). 2*(v + 5)**2/5 Let y = -54 - -57. Let u be (-2 + 29/15)*(-3 - y). Factor u*a**2 - 2/5 + 0*a. 2*(a - 1)*(a + 1)/5 Factor 0*z**4 + 0 + 0*z + 18/7*z**3 + 0*z**2 - 2/7*z**5. -2*z**3*(z - 3)*(z + 3)/7 Let j be (-33)/(-44) + 2/8. Let w be 26 - (3 + -5)*j. Factor 12 + 75*d**2 - 63*d - 25*d + w*d. 3*(5*d - 2)**2 Let t(d) = -4*d**2 - 38*d - 202. Suppose 13 = 2*f + 9. Let p(w) = 9*w**2 + 75*w + 405. Let u(z) = f*p(z) + 5*t(z). Factor u(l). -2*(l + 10)**2 Let f(d) be the second derivative of d**7/7 - 14*d**6/15 + 13*d**5/10 + 3*d**4 - 20*d**3/3 - 8*d**2 + 3*d. Factor f(i). 2*(i - 2)**3*(i + 1)*(3*i + 1) Let g(z) = -8*z**3 - 68*z**2 - 146*z - 34. Let x(s) = -8*s**3 - 69*s**2 - 147*s - 35. Let p(c) = -3*g(c) + 2*x(c). Solve p(h) = 0. -4, -1/4 Let y(u) be the third derivative of -u**8/3360 - 11*u**7/2100 - 7*u**6/200 - 7*u**5/60 - 53*u**4/240 - u**3/4 + 99*u**2 - 1. Factor y(t). -(t + 1)**3*(t + 3)*(t + 5)/10 Let w(c) be the first derivative of -4 + 1/10*c**4 - 8/15*c**3 - 4/5*c + c**2. Factor w(p). 2*(p - 2)*(p - 1)**2/5 Let p be 3 + (0 - 0)/3. Let 12*b + b**3 + 11 - 1 - 2 + 0*b**p + 6*b**2 = 0. What is b? -2 Let t(q) be the third derivative of 1/108*q**6 + 8/27*q**3 - q**2 - 1/135*q**5 + 0*q + 0 - 5/27*q**4. Factor t(l). 2*(l - 2)*(l + 2)*(5*l - 2)/9 Let d(c) be the first derivative of 2*c**5/5 + 15*c**4/2 - 34*c**3 + 53*c**2 - 36*c - 337. Factor d(f). 2*(f - 1)**3*(f + 18) Let l(m) be the second derivative of -m**6/120 + m**5/20 - m**4/12 + 4*m**2 - 3*m. Let u(s) be the first derivative of l(s). Find x, given that u(x) = 0. 0, 1, 2 Let a be 4 + (1 - 1 - (-234)/(-6)). Let s = a + 176/5. Factor -2*v**2 - 4/5*v**3 - s*v + v**5 + 8/5*v**4 + 2/5. (v - 1)*(v + 1)**3*(5*v - 2)/5 Let p = 2723/20 - 136. Let v = p - 1/20. Factor 9/10*o + 27/10*o**3 - v - 27/10*o**2. (3*o - 1)**3/10 Suppose 90*v = 107*v - 51. Factor 2/11*t - 2/11*t**v + 6/11 - 6/11*t**2. -2*(t - 1)*(t + 1)*(t + 3)/11 Suppose -18800*s**2 + 18808*s**2 + 73*s - 14 - 19*s = 0. What is s? -7, 1/4 Let r(w) be the second derivative of 3*w**5/20 - 2*w**4 - w**3/2 + 12*w**2 - 22*w - 6. Factor r(j). 3*(j - 8)*(j - 1)*(j + 1) Let d(m) be the second derivative of m**5/50 - 43*m**4/30 - 136*m**3/15 - 92*m**2/5 + 28*m - 7. Factor d(u). 2*(u - 46)*(u + 1)*(u + 2)/5 Let f = -1541/140 - -223/20. Determine n, given that 9/7 + n**2 - 15/7*n - f*n**3 = 0. 1, 3 Suppose 2/13*h**2 - 14/13*h - 2/13*h**4 + 0 + 14/13*h**3 = 0. What is h? -1, 0, 1, 7 Let y(o) be the first derivative of o**3/3 + 8*o**2 + 64*o + 594. Solve y(u) = 0. -8 Let f = 1 - -4. Suppose 4*g + d = 13, d + d = f*g. Solve -2*t**g - 4/3 - 10/3*t = 0 for t. -1, -2/3 Let n(s) be the first derivative of s**7/252 - s**5/30 - s**4/36 + s**3/12 + s**2/6 - 2*s + 4. Let h(f) be the first derivative of n(f). Factor h(i). (i - 2)*(i - 1)*(i + 1)**3/6 Solve -26/11*i**2 - 2/11*i**3 - 52/11*i + 80/11 = 0 for i. -10, -4, 1 Let k be (6/12)/((-30)/(-12)) + 0. Factor -4/5*w**3 - 2/5*w - k*w**4 - w**2 + 0. -w*(w + 1)**2*(w + 2)/5 Let k(h) = 5*h + 3. Let o be k(13). Suppose 151*s**4 - 38*s**4 + 14*s**5 + 54*s + 20 - 80*s**2 - o*s**3 - 53*s**4 = 0. What is s? -5, -1, -2/7, 1 Let z = -29 - -33. Suppose 3
{ "pile_set_name": "DM Mathematics" }
h is the nearest to -2? (a) -0.5 (b) -7/4 (c) 2/5 b Which is the closest to -1? (a) 0.3 (b) -2/9 (c) 2/9 (d) -4 b What is the closest to 0.02 in -3, 2/15, 0.2, 5? 2/15 Which is the nearest to -1? (a) 5 (b) 0.1 (c) 39 (d) 1/3 b What is the closest to 2/3 in 2, -1/5, -66/17? -1/5 What is the nearest to -2/7 in -2/9, 0, 0.3, -2? -2/9 What is the closest to 0 in 12, 5, 1.5? 1.5 Which is the nearest to -1/2? (a) 1/3 (b) 51 (c) 0.3 (d) 3 c What is the closest to 8 in -1, 0.3, 2, 69? 2 Which is the closest to -1/3? (a) 2 (b) 0.2 (c) 12/13 b What is the nearest to -1/7 in -5, 5, -29? -5 What is the nearest to 0.11 in 2/11, 0.2, -11? 2/11 What is the nearest to -1/2 in -2, 0.1, -46, -1? -1 What is the nearest to -2 in -0.3, 3, -4, -4/9? -4/9 What is the closest to 2.5 in -2/7, -1/21, 1/5? 1/5 Which is the closest to 1? (a) 0.019 (b) -0.3 (c) 3 a What is the closest to 1 in -5, 5, 102? 5 Which is the closest to -2? (a) -5 (b) -0.3 (c) 3 b Which is the nearest to -16? (a) -1/2 (b) -1 (c) 1 (d) -2 d What is the closest to 0.3 in -5, 0, -5/179? 0 Which is the nearest to 4? (a) 3/7 (b) -3/4 (c) -2 a Which is the closest to 0? (a) 1/3 (b) -2/385 (c) -2 (d) 1 b What is the closest to 3/14 in 0.1, -4/15, -2/7? 0.1 What is the nearest to 3 in 5, -1, -2/19, -6? 5 Which is the nearest to 0? (a) -0.09 (b) 5 (c) 0.8 a Which is the closest to -2? (a) -0.04 (b) 2/13 (c) -1 c Which is the nearest to -1? (a) 2/13 (b) -1/17 (c) -1 (d) 40 c What is the nearest to -3 in -0.01, 0, -1/4? -1/4 What is the nearest to 1/3 in -1, -0.11, 2/5? 2/5 What is the closest to -16 in -1, 2, -1/6? -1 Which is the closest to -85? (a) 3 (b) -0.3 (c) -0.5 c Which is the closest to 1? (a) 715 (b) -0.2 (c) -2 b What is the nearest to 0.1 in -0.1, -1/6, -37? -0.1 What is the nearest to 1 in 3, 0.11, -3? 0.11 Which is the nearest to 0.09? (a) -2/11 (b) -0.5 (c) 1 a What is the closest to 965 in -2/7, 4, 1? 4 Which is the nearest to -2? (a) 1/3 (b) 359 (c) -5 (d) -0.2 d What is the closest to 0.06 in 1, -2, 0, 1/5? 0 Which is the closest to 38? (a) -2/3 (b) -2 (c) -1/4 c What is the closest to -0.1 in 6/19, -0.1, -22? -0.1 What is the closest to 3 in 5, -2.5, -3? 5 Which is the closest to 12? (a) 1 (b) 1/6 (c) -1/7 a What is the closest to -2 in 0.5, -1/3, 1, -4? -1/3 Which is the nearest to 5? (a) 0.5 (b) 0.3 (c) -69 a What is the nearest to -552 in 0.5, 1, -4, 4? -4 What is the nearest to 2 in -9.2, -2/7, -0.5, 1? 1 What is the nearest to 1 in -1, 6, -0.4? -0.4 Which is the nearest to -1? (a) 4 (b) -89 (c) 1 (d) 1/4 d Which is the closest to -1/3? (a) 3 (b) -0.2 (c) -6 (d) -0.93 b What is the closest to -0.06 in 0, -0.6, 3? 0 Which is the nearest to 1/3? (a) 1 (b) -5 (c) 2/7 (d) 0.3 d What is the closest to -0.1 in -11/4, -0.1, -0.2, -2/5? -0.1 What is the nearest to 12 in -0.2, -12/11, 3/4? 3/4 Which is the nearest to -2/15? (a) 1 (b) -2/17 (c) 12 b Which is the nearest to 13.7? (a) -1/3 (b) 2 (c) 0.1 (d) 1 b Which is the closest to -1? (a) 111 (b) 5 (c) -2 (d) -0.1 d What is the closest to 0 in 5, -0.5, 30? -0.5 What is the closest to 1/5 in -6/23, -2, 5/3? -6/23 What is the closest to -2/5 in 0.01, -0.08, -3, 0.5? -0.08 Which is the closest to -3/22? (a) 51 (b) 3/7 (c) -3 b Which is the nearest to -1? (a) -21 (b) -3 (c) 0.3 c Which is the nearest to 1/4? (a) 3/8 (b) 12 (c) 2/5 (d) -0.25 a Which is the nearest to -36? (a) -3 (b) -0.3 (c) 0 a What is the nearest to -8 in 3, -0.4, 4? -0.4 Which is the nearest to -10? (a) 0.2 (b) -2/5 (c) 0 (d) -0.01 b What is the closest to 4 in -1/6, 0.5, 4, 2/9? 4 What is the nearest to 0.1 in -3, 2/3, -21, 0.1? 0.1 What is the closest to -0.4 in 1/3, 0, -13, -1/9? -1/9 What is the nearest to 0 in 4/5, 5, -6, 0.2? 0.2 Which is the nearest to -94? (a) -0.5 (b) 2/5 (c) 1 a What is the closest to -3/5 in 14, -0.5, 0.2, 7? -0.5 Which is the nearest to 0.5? (a) 0 (b) -1 (c) -77 (d) 4/3 a What is the nearest to -2/5 in 0.4, 1/10, 8/3, -0.4? -0.4 Which is the nearest to -1? (a) -0.3 (b) 101 (c) -0.2 (d) 1/20 a What is the closest to 1 in 1, 5, -23? 1 What is the closest to -2/9 in 3, -12, 0.01? 0.01 Which is the closest to 0.4? (a) 4 (b) -3/4 (c) 1/6 (d) 2/23 c Which is the closest to 1? (a) 1 (b) 2 (c) -1785 a Which is the nearest to 0? (a) -80 (b) 3 (c) 0.3 c Which is the nearest to 118? (a) 2/9 (b) 1/2 (c) -4 b Which is the nearest to -5? (a) 0.046 (b) -0.4 (c) -0.1 b What is the closest to 2/5 in 4/315, -4/9, 4? 4/315 What is the nearest to -0.1 in 0.029, 1, -3? 0.029 Which is the closest to 19? (a) -4/3 (b) 4 (c) -0.1 (d) -3/2 b Which is the nearest to 1? (a) -0.5 (b) -3 (c) -53 (d) -1/8 d Which is the nearest to 2? (a) 0 (b) 3 (c) -1/5 (d) -0.4 b What is the closest to 0 in -142, 0, 4? 0 What is the nearest to 0.7 in -0.7, -2/5, 0, 4? 0 Which is the closest to 1/3? (a) -0.5 (b) 12 (c) 42 a What is the closest to 0.8 in -1, 2, 7? 2 What is the closest to 0 in 0.01, 0.12, 5? 0.01 Which is the nearest to 0.1? (a) -3 (b) -1 (c) 5 (d) 2 b What is the closest to -1/4 in 0.4, -14, 1, 0.5? 0.4 What is the nearest to -1/4 in 10/9, -4, -2/3, 2/9? -2/3 Which is the closest to 0? (a) -3 (b) 1/3 (c) 65 (d) -0.5 b Which is the nearest to 2/9? (a) 5/2 (b) 11 (c) -1/8 c What is the closest to -3/5 in -3, 5, 9? -3 Which is the closest to 80? (a) 1/6 (b) -5 (c) -2 a Which is the nearest to 3/5? (a) 0 (b) -3 (c) -4 a What is the nearest to -2/3 in 0.2, 0.044, 2? 0.044 Which is the closest to 2/3? (a) -9/64 (b) 5/2 (c) -2/3 (d) 0.9 d What is the closest to 2/3 in -1/7, 2.3, 1/4, -1? 1/4 What is the closest to -0.23 in -0.1, 8, 4/5? -0.1 Which is the nearest to -6? (a) -0.1 (b) 3 (c) -3/22 c Which is the closest to 2? (a) -0.2 (b) -4 (c) 2/7 (d) -5 c What is the nearest to 1 in 0.6, 1, -1, 12? 1 Which is the closest to 5? (a) 1.7 (b) 0.1 (c) 0.2 a What is the closest to 0.01 in -1, -0.1, 1/4? -0.1 What is the closest to 0 in 54, 2/13, 1? 2/13 Which is the nearest to 0.2? (a) -0.3 (b) -33 (c) 1/5 c Which is the closest to 0? (a) 0 (b) -0.1 (c) 0.5 a What is the closest to -0.1 in -3/4, -0.5, -0.07? -0.07 Which is the closest to -1? (a) -2 (b) 2/9 (c) 0.5 a What is the nearest to 2 in -4, 5, 0.4, -2/29? 0.4 What is the nearest to 1/4 in 2/7, 34, 3/8, -3? 2/7 What is the nearest to -1 in -0.015, -2/3, -4, -5? -2/3 Which is the nearest to -2? (a) 32 (b) -1 (c) -0.5 (d) -3/7 b Which is the closest to 4/3? (a) 1.4 (b) 1 (c) 0.4 a Which is the nearest to -8? (a) -1/2 (b) -0.4 (c) -7 (d) -4 c What is the closest to 1/3 in -1, 2/19, 1, 2/11? 2/11 What is the closest to 1 in 1/3, 0.1, -12/79? 1/3 Which is the closest to 0? (a) -2 (b) 25 (c) 2/7 c Which is the nearest to -8/3? (a) -1/3 (b) 6 (c) -6 a Which is the closest to 4? (a) -0.2 (b) 4 (c) 0.1 (d) 0.2 b What is the nearest to 0.06 in -1, 4, -4, -3? -1 What is the closest to 123/14 in -5, -3/7, 0.4, -0.1? 0.4 What is the nearest to 4.4 in -0.3, 4, -4? 4 Which is the nearest to -157? (a) -0.4 (b) -5 (c) -4 b What is the closest to 6/55 in -1, 0.1, 1/4? 0.1 What is the nearest to -0.9751 in 2/13, -2, -1? -1 Which is the closest to 0? (a) 4 (b) -5 (c) 2/3 (d) -1 c What is the closest to 0.01 in -0.05, 21/2, 0.5? -0.05 Which is the closest to -2/85? (a) -1 (b) 2/13 (c) 2/7 b What is the nearest to -3/98 in 16, 0.5, -1? 0.5 Which is the nearest to 0.1? (a) 0.4 (b) -2/9 (c) -0.8 (d) 3 a What is the nearest to -34 in -5, 4, 0.1? -5 What is the closest to 63 in -4, -1, -3/2? -1 Which is the nearest to 4/7? (a) -1 (b) -5 (c) -4.4 (d) 4 a What is the closest to 1 in -6, -5, -0.07, -4/3? -0.07 Which is the nearest to 2/7? (a) -1/6 (b) -3 (c) 5 (d) 0.1 d What is the nearest to -2/5 in -0.4, -6, -3/4, -2? -0.4 What is the closest to 1 in -146, 0.3, -1/2, -1? 0.3 Which is the nearest to -1? (a) 3 (b) 5 (c) 2/19 (d) -4 c What is the nearest to -2/5 in 0.1, -16/3, 16? 0.1 What is the nearest to 3 in 5, 0.1, 45? 5 What is the nearest to -0.1 in 2/5, 1/4, 0.7? 1/4 What is the closest to -20 in -0.5, -5/102, -1, -2? -2 What is the nearest to -1 in -2/3, 3, -1/4, 1.21? -2/3 Which is the closest to -1/2? (a) 2/3 (b) 5
{ "pile_set_name": "DM Mathematics" }
d - 2 = 3. Let b = d + l. Is b a multiple of 2? True Let i(d) = 9*d**2 + 9. Is i(6) a multiple of 37? True Is 20 a factor of 4/6*42/28 + 59? True Let p(d) = -13*d + 1. Let v = -5 - -4. Does 7 divide p(v)? True Let o = -60 + 63. Let g(i) = i**2 + 0*i**3 + i**2 + i**3 - 2 - 2*i. Is 12 a factor of g(o)? False Let o = -24 + 14. Let j = o - -20. Is j a multiple of 10? True Suppose w + 294 = 3*c - 0*c, c - 2*w - 93 = 0. Does 33 divide c? True Let d = -1 + 4. Is 3 a factor of d? True Let v be 1/((-18)/10 + 2). Suppose -4*j + v*t + 10 = -1, 4*t - 24 = -5*j. Suppose -44 = -2*f - j*p, -6 = -0*p - 3*p. Is f a multiple of 9? True Let y be 4/6*(-1 + 4). Suppose 7 = 5*l - 23. Is 9 a factor of (-46)/y*(l + -7)? False Suppose 0 = -s + 4*j + 24, -5*s + j - 5*j + 24 = 0. Suppose -2*f + 2*c = -s, -f = 3*f + c - 21. Suppose 5*m - 48 = -f*l + 17, m - 2*l - 19 = 0. Does 5 divide m? True Suppose 0 = -v - 4*v + 15. Suppose -v*m - 3 = -24. Let h = 15 - m. Is 5 a factor of h? False Suppose -5*h - 36 - 6 = -r, -5*r + 110 = -5*h. Let u = 50 - r. Is 31 a factor of u? False Let g = 19 + 8. Suppose -7*h + 5*s = -3*h + 71, 0 = -3*h + 3*s - 54. Let k = h + g. Is 8 a factor of k? True Let f(a) be the third derivative of -a**5/60 + a**4/3 + a**3/2 - a**2. Let o be f(8). Suppose 0*w - o*w = -21. Does 5 divide w? False Let x = -67 + 97. Does 5 divide x? True Let s be (-30)/(-8) - (-10)/40. Suppose s*a = 5*r - 31, 0 = 5*r - a - 24 - 10. Is r a multiple of 7? True Let q(s) = 7 + 7*s - 2*s + s - s**2. Does 7 divide q(5)? False Let h be ((-6)/(-5))/((-14)/(-35)). Suppose -5*n = -h*n - 8. Is 4 a factor of n? True Suppose 10*g - 640 = 130. Is 22 a factor of g? False Is 6 a factor of (-4)/6 - 148/(-6)? True Let m(o) = o**2 + 5*o + 6. Let n be m(-4). Suppose 0 = -0*u - n*u + 28. Does 8 divide u? False Let h = -9 + 7. Let b be (-4)/(h*(-3)/6). Let i = b - -6. Is 2 a factor of i? True Let s(h) = -2*h + 2. Let m(r) = -10*r + 10. Let x(c) = -2*m(c) + 11*s(c). Is 5 a factor of x(-2)? False Let p be (-81)/6 - (-2)/(-4). Is 680/28 - (-4)/p a multiple of 12? True Let l(p) be the second derivative of 11*p**3/6 - 7*p**2/2 - 4*p. Is l(6) a multiple of 16? False Let q(x) = -5*x - 25. Is 15 a factor of q(-11)? True Let x(m) = -11*m + 65. Is 3 a factor of x(4)? True Suppose 0 = -2*g + 6*g, -4*g = -4*o + 132. Is 9 a factor of o? False Suppose u - 764 = -3*d, 2*u + 0*u - 1273 = -5*d. Suppose -255 = 5*c + 5*f, 4*c = -c + 5*f - d. Let k = -11 - c. Does 14 divide k? False Suppose -3*m + 4 = 2*m - x, 3 = 5*m - 2*x. Let t = 3 + m. Suppose -r + 35 = t*r. Does 5 divide r? False Suppose 54 = 3*a + 4*s - 0*s, 5*a + 5*s - 85 = 0. Is a a multiple of 2? True Let z = 239 + -133. Is 25 a factor of z? False Suppose 3*x + r = 3*r + 7, 4*x = -r - 9. Let s = 3 + x. Is s even? True Suppose 22 = -5*l - q + 5*q, -q = l - 1. Does 6 divide ((-2)/(-3))/(l/(-51))? False Let g = -35 - -59. Is g a multiple of 4? True Suppose -40 = -3*w - 5*c, 0 = 4*w - 0*w + c - 25. Suppose -2*f = y - 5, -w*f - 2*y = -7*y - 35. Is 2 a factor of f? True Let q be (-174)/(-24) - 6/(-8). Suppose 3*p - 21 = -4*n, -2 = 5*n - 3*p - q. Does 3 divide n? True Suppose -2*s - 12 = -8*s. Let l(a) = a**2 - 2*a + 1. Let p be l(-4). Suppose d - 4*c = p, -4*c = -s*d - 2*d + 64. Is d a multiple of 13? True Suppose 0*q - 3*q = -117. Suppose -4*p + q = -p. Is 13 a factor of p? True Let t be ((-2)/(-6))/(7/126). Suppose 5*m = t + 39. Does 2 divide m? False Does 21 divide (2 + 0)/(1/50)? False Suppose -10*l - 10 = -15*l. Suppose 32 + 16 = j - 3*o, -l*j - 4*o = -46. Does 17 divide j? False Let k(m) = -4*m**3 + m**2 - m - 1. Let q(u) = -u + 4. Let w be 9 - 5 - 1*-1. Let b be q(w). Is 3 a factor of k(b)? False Suppose -5*r = -6*r. Suppose -t - 1 = r, -3*w + 0*t + 2*t + 32 = 0. Is w a multiple of 3? False Let s = -12 + 30. Suppose x = l + s, -2*x - 3*l = x - 60. Is 19 a factor of x? True Let t = -2 + 6. Suppose 0 = t*b + 2*c + 32, -5*b - 2*c = 3*c + 35. Let h = -6 - b. Is 2 a factor of h? False Let p = 25 - 18. Suppose 0 = 4*y - 8, -3*y - 2 - p = -5*l. Suppose -40 - 26 = -l*r. Does 12 divide r? False Let s = 105 + 3. Is s a multiple of 12? True Let o(j) = -2*j - 12. Let c be o(-9). Let t(z) = -z**2 + 8*z - 6. Is t(c) a multiple of 2? True Suppose -13*h = -9*h - 16. Suppose 0 = h*v - 5*o - 53 - 44, -5 = o. Is 6 a factor of v? True Let x(o) = -o**2 + 6*o - 4. Let l be x(4). Suppose 4*p - l*q = 108, 0 = 2*p - 5*q - 1 - 38. Does 10 divide p? False Is (225/(-6))/(12/(-24)) a multiple of 5? True Let z(i) = 72*i + 9. Let f be z(5). Does 12 divide ((-6)/(-18))/(3/f)? False Suppose 9 + 17 = y. Is y a multiple of 7? False Does 16 divide (-4)/(-8) - (-124)/8? True Suppose 4*y = -5*g + 140, -2*y = -g + 44 - 2. Does 32 divide g? True Let s = 29 - 20. Let j(b) = 3*b + 6. Is 9 a factor of j(s)? False Let c(v) = -v - 14. Let g be c(11). Let s = 9 - g. Is 19 a factor of s? False Let x(u) = -3*u - 4. Suppose 4*y - 9 = 3. Suppose -5*n + 9 = -6, -y*r = -n + 12. Does 4 divide x(r)? False Suppose t = -0*t + 4. Suppose -3*a - 2 = 2*c, -5*c - 2*a + t + 13 = 0. Is c even? False Suppose -3*g + 2*m = -32 + 376, 223 = -2*g - 5*m. Let d be g/(-4) + 2/4. Suppose -d = -4*u + 15. Does 9 divide u? False Let l(t) be the third derivative of 5*t**4/24 - t**3/3 - 3*t**2. Let x be l(4). Let n = x - 9. Is n a multiple of 3? True Let v be -2*5*(-5)/(-2). Let n = 73 + v. Let w = n + -30. Is w a multiple of 18? True Suppose 3*w - w = 2*z - 12, -5*z = -3*w - 36. Does 10 divide 1848/54 - 2/z? False Suppose -5*c + 3*m = -581, 79 + 262 = 3*c + 2*m. Is c a multiple of 36? False Let p = 41 - -11. Suppose -p + 0 = -2*k. Is 20 a factor of k? False Suppose -2*d = o - 12, 0 = 4*d - 8*d - 3*o + 28. Is ((-4)/(-12))/(d/276) a multiple of 17? False Suppose 8*f - 6*f - 46 = 0. Is f a multiple of 5? False Let r(w) = w**2 - 10*w + 5. Let c be r(10). Suppose -n + 2*n = -s + 10, 0 = -n + c*s + 16. Does 11 divide n? True Let f(c) = 25*c**2 + 4*c - 1. Does 33 divide f(3)? False Let g = 51 - 41. Is g a multiple of 4? False Suppose -4*f + 5*g + 21 = 0, 0 = f - 4*g + 1 + 2. Suppose 5*v = 2*v - f. Let z = 1 - v. Is z even? True Let x = 43 + 197. Is x a multiple of 30? True Let i = -131 + 189. Does 11 divide i? False Let f(l) = l + 26. Let u be (2 - (-36)/2) + 0. Suppose x - 4*q - 9 = 7, -3*x - 5*q = u. Is f(x) a multiple of 13? True Let o(z) = -2*z + 1. Let j be o(2). Is 7 a factor of (32/6)/((-2)/j)? False Suppose 5*d - 5*s - 5 = 0, 3*s + 0*s = -3*d - 27. Let a = d + 2. Does 14 divide (-56)/a - 0/(-1)? True Suppose -3*j - 50 = -8*j. Suppose 0 = 4*y + y - j. Does 6 divide 1*y + (-2 - -16)? False Let l = -3 + 5. Let r(f) = -11*f**l + 4 + f**3 - f - 10*f - 9. Is r(12) a multiple of 7? True Let s = 11 - -28. Let p = s + -20. Is p a multiple of 17? False Suppose -8 = -5*m + 17. Suppose 3*g - 160 = -m*p, -4*g - 5*p + 0*p = -210. Suppose -5*h = -0*h - g. Is h a multiple of 10? True Does 8 divide (-3 + 7)/((-1)/(-8))? True Suppose 4*r + 225 = 3*f, 3*r + 0*r + 9 = 0. Is f a multiple of 25? False Suppose s - 95 = 2*c, -c + 301 = 2*s + 91. Does 21 divide s? False Does 5 divide 2/(-6) + 680/24? False Let i(g) = 6*g + 18. Is 18 a factor of i(0)? True Let d(j) = 1 + 0 + 5*j - j + 1. Let x be d(-3). Let m = x + 47. Is m a multiple of 19? False Suppose 0*t - 2*r - 32 = -4*t, 0 = 5*t - 5*r - 40. Is t a multiple of 2? True Let d(t) = -4*t**3 - 4*t + 1. Is 7 a factor of d(-2)? False Suppose v + 2*v = 99. Is v a multiple of 33? True Let v(y) = y**3 - 10*y**2 + 9*y + 3. Let k be v(9). Let a be (2 + k/(-2))*4. Suppose 7*w = -5*d + 3*w + 136, -a*d - 2*w = -54. Does 11 divide d? False Let h(x) = -x**2 - 5*x + 1. Let f be h(-5). Suppose s + 9 = 3*g - s, 2*g - 3*s - f = 0. Let u = 21 + g. Is u a multiple of 12? False Suppose 3*x = 2*n - 0*x - 229, 0 = 3*n - 2*x - 336. Is n a multiple of 11? True Suppose 0 = -5*q + 545 - 185. Does 36 divide q? True Let l be 2*(0 + 1) + 40. Suppose -5*f = 3*x - 70, 6*x + l = 3*f + 2*x. Is f a multiple of 14? True Let i be -2 - 1/(2/(-12)). Suppose 2*o - 6*o = i*w - 4, -2*w = -o + 7. Is (w*(-1 - -7))/(-1) a multiple of 8? False Let n = 15 + -6. Let w be (n/12)/((-1)/(-4)). Suppose -k - w*h + 31 = 3*k, -14 = -k - 2*h. Is 3 a factor of k? False Suppose 8 = 2*k + 4*x, -44 = -k - 3*k - x. Let w = k - -60. Suppose w = -i + 4*i. Is
{ "pile_set_name": "DM Mathematics" }
tes are there between 3:22 PM and 11:10 PM? 468 How many minutes are there between 3:14 PM and 7:40 PM? 266 How many minutes are there between 2:09 PM and 3:26 PM? 77 How many minutes are there between 10:12 PM and 3:36 AM? 324 How many minutes are there between 10:26 PM and 6:16 AM? 470 How many minutes are there between 2:05 PM and 6:14 PM? 249 What is 120 minutes before 2:06 AM? 12:06 AM How many minutes are there between 10:37 AM and 10:22 PM? 705 What is 102 minutes before 4:20 PM? 2:38 PM What is 647 minutes after 8:25 AM? 7:12 PM What is 678 minutes before 6:15 PM? 6:57 AM How many minutes are there between 1:38 PM and 6:31 PM? 293 How many minutes are there between 3:48 AM and 3:28 PM? 700 How many minutes are there between 4:48 AM and 2:24 PM? 576 How many minutes are there between 11:53 PM and 10:24 AM? 631 How many minutes are there between 10:02 PM and 7:34 AM? 572 How many minutes are there between 4:27 AM and 7:02 AM? 155 How many minutes are there between 9:28 AM and 10:57 AM? 89 What is 277 minutes before 5:24 PM? 12:47 PM What is 36 minutes before 2:13 AM? 1:37 AM How many minutes are there between 1:00 AM and 12:30 PM? 690 What is 345 minutes before 6:14 AM? 12:29 AM What is 6 minutes before 10:40 AM? 10:34 AM How many minutes are there between 1:10 PM and 8:53 PM? 463 How many minutes are there between 8:57 AM and 7:04 PM? 607 How many minutes are there between 8:26 AM and 11:55 AM? 209 How many minutes are there between 2:26 AM and 6:41 AM? 255 How many minutes are there between 6:19 PM and 11:37 PM? 318 What is 103 minutes after 8:35 AM? 10:18 AM What is 195 minutes before 2:42 AM? 11:27 PM How many minutes are there between 10:05 AM and 10:24 AM? 19 How many minutes are there between 9:12 AM and 4:50 PM? 458 How many minutes are there between 10:25 AM and 1:11 PM? 166 What is 414 minutes before 5:29 AM? 10:35 PM How many minutes are there between 8:55 AM and 5:40 PM? 525 What is 302 minutes before 6:34 PM? 1:32 PM How many minutes are there between 10:02 AM and 6:25 PM? 503 What is 97 minutes after 11:15 PM? 12:52 AM What is 300 minutes after 7:01 PM? 12:01 AM What is 181 minutes after 10:04 PM? 1:05 AM What is 235 minutes after 3:57 PM? 7:52 PM What is 639 minutes before 9:28 PM? 10:49 AM What is 706 minutes before 9:46 AM? 10:00 PM What is 405 minutes after 11:20 PM? 6:05 AM What is 184 minutes after 9:25 AM? 12:29 PM What is 514 minutes before 11:42 PM? 3:08 PM What is 394 minutes after 12:33 AM? 7:07 AM What is 321 minutes before 9:03 AM? 3:42 AM How many minutes are there between 10:51 PM and 1:15 AM? 144 How many minutes are there between 2:17 AM and 1:33 PM? 676 What is 525 minutes before 11:09 PM? 2:24 PM What is 584 minutes before 4:49 AM? 7:05 PM What is 173 minutes after 5:58 AM? 8:51 AM What is 92 minutes before 5:49 PM? 4:17 PM What is 41 minutes after 7:21 PM? 8:02 PM How many minutes are there between 12:49 PM and 3:14 PM? 145 What is 526 minutes before 2:48 AM? 6:02 PM What is 309 minutes before 2:49 AM? 9:40 PM What is 704 minutes before 10:25 PM? 10:41 AM How many minutes are there between 10:35 PM and 8:03 AM? 568 What is 2 minutes before 4:24 AM? 4:22 AM What is 708 minutes before 1:41 AM? 1:53 PM What is 323 minutes before 10:18 AM? 4:55 AM What is 97 minutes before 10:45 PM? 9:08 PM How many minutes are there between 10:38 PM and 11:14 PM? 36 What is 681 minutes before 1:45 PM? 2:24 AM What is 553 minutes after 11:39 AM? 8:52 PM What is 386 minutes after 11:59 AM? 6:25 PM How many minutes are there between 3:00 PM and 5:00 PM? 120 How many minutes are there between 3:23 AM and 9:05 AM? 342 How many minutes are there between 3:27 AM and 3:10 PM? 703 What is 672 minutes after 1:10 PM? 12:22 AM What is 585 minutes before 5:33 PM? 7:48 AM What is 303 minutes before 8:57 PM? 3:54 PM What is 646 minutes before 12:27 AM? 1:41 PM How many minutes are there between 2:10 PM and 12:33 AM? 623 What is 117 minutes after 5:37 PM? 7:34 PM How many minutes are there between 3:06 PM and 3:47 PM? 41 How many minutes are there between 6:50 AM and 5:45 PM? 655 What is 54 minutes after 2:56 AM? 3:50 AM How many minutes are there between 5:52 PM and 7:49 PM? 117 How many minutes are there between 4:40 AM and 11:36 AM? 416 What is 705 minutes before 11:05 PM? 11:20 AM What is 309 minutes after 1:17 PM? 6:26 PM How many minutes are there between 3:08 AM and 12:26 PM? 558 What is 667 minutes before 7:37 PM? 8:30 AM What is 240 minutes before 10:52 AM? 6:52 AM What is 597 minutes before 1:57 PM? 4:00 AM How many minutes are there between 8:42 AM and 9:31 AM? 49 What is 692 minutes after 5:03 PM? 4:35 AM How many minutes are there between 12:07 AM and 6:02 AM? 355 How many minutes are there between 1:58 AM and 10:38 AM? 520 What is 48 minutes before 7:03 AM? 6:15 AM What is 88 minutes before 7:47 AM? 6:19 AM What is 466 minutes before 2:40 AM? 6:54 PM What is 467 minutes before 4:09 AM? 8:22 PM How many minutes are there between 3:11 AM and 11:34 AM? 503 How many minutes are there between 2:06 AM and 11:58 AM? 592 How many minutes are there between 7:33 PM and 4:39 AM? 546 What is 305 minutes after 1:34 AM? 6:39 AM How many minutes are there between 12:01 PM and 9:33 PM? 572 How many minutes are there between 5:04 PM and 10:25 PM? 321 What is 557 minutes before 8:56 PM? 11:39 AM What is 345 minutes before 1:45 AM? 8:00 PM What is 323 minutes after 9:13 AM? 2:36 PM How many minutes are there between 2:28 AM and 8:56 AM? 388 How many minutes are there between 7:21 AM and 1:15 PM? 354 How many minutes are there between 3:46 PM and 5:36 PM? 110 How many minutes are there between 10:43 AM and 10:38 PM? 715 How many minutes are there between 12:01 PM and 5:28 PM? 327 How many minutes are there between 12:45 AM and 7:16 AM? 391 How many minutes are there between 4:20 AM and 2:25 PM? 605 What is 617 minutes after 8:07 PM? 6:24 AM What is 127 minutes before 8:28 AM? 6:21 AM What is 398 minutes after 9:27 AM? 4:05 PM How many minutes are there between 2:12 PM and 2:21 PM? 9 How many minutes are there between 1:31 PM and 11:04 PM? 573 How many minutes are there between 12:16 AM and 11:59 AM? 703 What is 697 minutes after 11:20 AM? 10:57 PM How many minutes are there between 7:35 PM and 5:20 AM? 585 How many minutes are there between 3:47 PM and 4:20 PM? 33 What is 634 minutes after 4:30 PM? 3:04 AM What is 539 minutes after 12:20 PM? 9:19 PM How many minutes are there between 5:03 AM and 7:03 AM? 120 What is 589 minutes after 3:25 AM? 1:14 PM What is 341 minutes before 5:08 PM? 11:27 AM How many minutes are there between 6:13 PM and 9:03 PM? 170 What is 170 minutes before 4:08 PM? 1:18 PM How many minutes are there between 12:02 AM and 7:28 AM? 446 What is 405 minutes after 10:15 AM? 5:00 PM What is 139 minutes after 7:20 AM? 9:39 AM What is 679 minutes before 2:01 PM? 2:42 AM What is 517 minutes after 9:31 AM? 6:08 PM What is 391 minutes after 11:46 AM? 6:17 PM How many minutes are there between 4:49 PM and 9:15 PM? 266 What is 444 minutes before 12:55 PM? 5:31 AM How many minutes are there between 9:09 PM and 7:37 AM? 628 What is 322 minutes after 12:43 PM? 6:05 PM How many minutes are there between 2:27 AM and 8:55 AM? 388 What is 332 minutes after 6:09 PM? 11:41 PM How many minutes are there between 1:53 AM and 9:53 AM? 480 What is 481 minutes after 9:30 PM? 5:31 AM How many minutes are there between 2:15 PM and 8:21 PM? 366 How many minutes are there between 3:16 PM and 3:57 PM? 41 What is 209 minutes before 6:59 AM? 3:30 AM How many minutes are there between 5:57 PM and 11:22 PM? 325 How many minutes are there between 2:10 PM and 9:18 PM? 428 What is 148 minutes before 6:15 AM? 3:47 AM What is 2 minutes after 10:04 AM? 10:06 AM What is 528 minutes after 5:33 AM? 2:21 PM What is 315 minutes after 7:01 PM? 12:16 AM What is 60 minutes before 3:19 PM? 2:19 PM How many minutes are there between 4:25 PM and 5:56 PM? 91 What is 56 minutes before 8:07 AM? 7:11 AM What is 341 minutes before 3:57 AM? 10:16 PM What is 546 minutes before 3:51 PM? 6:45 AM What is 341 minutes after 4:35 PM? 10:16 PM What is 354 minutes after 2:53 AM? 8:47 AM How many minutes are there between 6:49 AM and 7:14 AM? 25 How many minutes are there between 1:47 A
{ "pile_set_name": "DM Mathematics" }
*t - 25 What is the c'th term of -1213, -5844, -13885, -25342, -40221, -58528, -80269? -c**3 - 1699*c**2 + 473*c + 14 What is the i'th term of 3176, 3240, 3346, 3494? 21*i**2 + i + 3154 What is the b'th term of -5809, -11599, -17391, -23185, -28981? -b**2 - 5787*b - 21 What is the j'th term of -34133, -34131, -34125, -34115, -34101, -34083? 2*j**2 - 4*j - 34131 What is the c'th term of 6368, 12746, 19124, 25502? 6378*c - 10 What is the l'th term of -8469, -33877, -76223, -135507, -211729, -304889? -8469*l**2 - l + 1 What is the d'th term of -205, -450, -699, -952, -1209? -2*d**2 - 239*d + 36 What is the f'th term of -5556, -10645, -15734, -20823? -5089*f - 467 What is the a'th term of 3370, 6716, 10062? 3346*a + 24 What is the i'th term of 81106, 162213, 243320, 324427, 405534? 81107*i - 1 What is the n'th term of 21157, 42316, 63475, 84634? 21159*n - 2 What is the t'th term of 28, 106, 236, 418, 652, 938, 1276? 26*t**2 + 2 What is the k'th term of -27254, -54536, -81848, -109190? -15*k**2 - 27237*k - 2 What is the i'th term of 48288, 48312, 48322, 48312, 48276? -i**3 - i**2 + 34*i + 48256 What is the p'th term of -28550, -28551, -28560, -28583, -28626, -28695, -28796? -p**3 + 2*p**2 - 28551 What is the s'th term of -422, -434, -454, -482, -518, -562? -4*s**2 - 418 What is the x'th term of 1761, 1784, 1857, 2004, 2249? 4*x**3 + x**2 - 8*x + 1764 What is the w'th term of -17034, -17068, -17126, -17208, -17314, -17444? -12*w**2 + 2*w - 17024 What is the w'th term of -1190, -2636, -4082, -5528? -1446*w + 256 What is the m'th term of -18, 110, 396, 840, 1442, 2202? 79*m**2 - 109*m + 12 What is the c'th term of 53, 39, 45, 95, 213, 423? 4*c**3 - 14*c**2 + 63 What is the p'th term of 572925, 1145850, 1718775? 572925*p What is the u'th term of 159, 188, 213, 234? -2*u**2 + 35*u + 126 What is the s'th term of 10109, 10109, 10119, 10145, 10193, 10269, 10379? s**3 - s**2 - 4*s + 10113 What is the o'th term of -2011, -2012, -2007, -1990, -1955, -1896, -1807? o**3 - 3*o**2 + o - 2010 What is the s'th term of 5867, 23473, 52815, 93893, 146707? 5868*s**2 + 2*s - 3 What is the c'th term of 6004615, 6004614, 6004613? -c + 6004616 What is the c'th term of 202, 263, 396, 637, 1022? 6*c**3 + 19*c + 177 What is the x'th term of -29, -1, 111, 361, 803? 9*x**3 - 12*x**2 + x - 27 What is the r'th term of -1618, -3174, -4738, -6316, -7914, -9538? -r**3 + 2*r**2 - 1555*r - 64 What is the a'th term of 78853, 157707, 236561, 315415, 394269? 78854*a - 1 What is the a'th term of 1123, 2269, 3415, 4561, 5707, 6853? 1146*a - 23 What is the o'th term of -227, -443, -649, -845? 5*o**2 - 231*o - 1 What is the o'th term of -3103902, -6207805, -9311708? -3103903*o + 1 What is the r'th term of 54362, 54361, 54360? -r + 54363 What is the d'th term of 232602, 232588, 232564, 232524, 232462, 232372? -d**3 + d**2 - 10*d + 232612 What is the p'th term of 28384, 28380, 28376, 28372? -4*p + 28388 What is the d'th term of -2627, -5223, -7797, -10337, -12831, -15267? 2*d**3 - d**2 - 2607*d - 21 What is the o'th term of -4103, -4119, -4143, -4175, -4215? -4*o**2 - 4*o - 4095 What is the b'th term of -11345, -22744, -34203, -45728, -57325, -69000, -80759? -b**3 - 24*b**2 - 11320*b What is the h'th term of 4150, 4208, 4296, 4408, 4538, 4680? -h**3 + 21*h**2 + 2*h + 4128 What is the z'th term of 1811, 1772, 1733, 1694, 1655, 1616? -39*z + 1850 What is the o'th term of 694648, 694656, 694664? 8*o + 694640 What is the g'th term of -32373, -64748, -97123? -32375*g + 2 What is the s'th term of -179890, -179888, -179890, -179896? -2*s**2 + 8*s - 179896 What is the p'th term of 2929, 11744, 26439, 47014, 73469, 105804, 144019? 2940*p**2 - 5*p - 6 What is the b'th term of 114, 489, 1116, 1989, 3102, 4449? -b**3 + 132*b**2 - 14*b - 3 What is the s'th term of -43413, -43360, -43271, -43146, -42985? 18*s**2 - s - 43430 What is the b'th term of -4089, -8168, -12245, -16320, -20393, -24464, -28533? b**2 - 4082*b - 8 What is the q'th term of 29455, 29456, 29457, 29458, 29459? q + 29454 What is the d'th term of -120, -217, -388, -639, -976, -1405? -d**3 - 31*d**2 + 3*d - 91 What is the y'th term of -5785, -5754, -5703, -5632, -5541, -5430? 10*y**2 + y - 5796 What is the i'th term of 6648, 26590, 59826, 106356, 166180, 239298? 6647*i**2 + i What is the l'th term of -164610, -164612, -164614, -164616? -2*l - 164608 What is the r'th term of -253, -223, -183, -127, -49, 57, 197? r**3 - r**2 + 26*r - 279 What is the r'th term of -61, -235, -555, -1045, -1729, -2631, -3775, -5185? -4*r**3 - 49*r**2 + r - 9 What is the m'th term of -24951, -24945, -24937, -24927, -24915, -24901, -24885? m**2 + 3*m - 24955 What is the f'th term of -582914, -1165828, -1748742? -582914*f What is the h'th term of 5938, 5889, 5828, 5749, 5646? -h**3 - 42*h + 5981 What is the m'th term of 754971, 1509940, 2264909, 3019878, 3774847? 754969*m + 2 What is the y'th term of 741, 5650, 18973, 44916, 87685, 151486, 240525? 701*y**3 + y**2 - y + 40 What is the u'th term of -54, -62, -66, -72, -86, -114, -162? -u**3 + 8*u**2 - 25*u - 36 What is the s'th term of 1451, 1464, 1485, 1514? 4*s**2 + s + 1446 What is the s'th term of 13454, 13463, 13472? 9*s + 13445 What is the d'th term of -29308, -58618, -87928, -117238, -146548? -29310*d + 2 What is the m'th term of -59406, -118814, -178222, -237630, -297038, -356446? -59408*m + 2 What is the y'th term of 198, 622, 1328, 2316, 3586, 5138, 6972? 141*y**2 + y + 56 What is the l'th term of -583, -1531, -2859, -4573, -6679, -9183, -12091, -15409? -l**3 - 184*l**2 - 389*l - 9 What is the m'th term of -625809, -625815, -625833, -625869, -625929? -m**3 + m - 625809 What is the o'th term of 1651, 3161, 4517, 5713, 6743? -o**3 - 71*o**2 + 1730*o - 7 What is the y'th term of -300, -865, -1682, -2757, -4096, -5705, -7590, -9757? -y**3 - 120*y**2 - 198*y + 19 What is the k'th term of -404, -1807, -4146, -7421, -11632? -468*k**2 + k + 63 What is the j'th term of 974606, 1949204, 2923800, 3898394, 4872986, 5847576, 6822164? -j**2 + 974601*j + 6 What is the m'th term of -235291, -470574, -705857? -235283*m - 8 What is the p'th term of 354397, 708799, 1063201, 1417603, 1772005, 2126407? 354402*p - 5 What is the a'th term of 229, 471, 809, 1297, 1989, 2939, 4201? 9*a**3 - 6*a**2 + 197*a + 29 What is the k'th term of -1092, -2210, -3328, -4446? -1118*k + 26 What is the z'th term of -377, -368, -351, -326, -293, -252? 4*z**2 - 3*z - 378 What is the h'th term of -13645, -13726, -13807, -13888? -81*h - 13564 What is the k'th term of 35, 190, 501, 1010, 1759, 2790? 7*k**3 + 36*k**2 - 2*k - 6 What is the f'th term of -487, -585, -749, -979, -1275, -1637, -2065? -33*f**2 + f - 455 What is the n'th term of 23, 12, -35, -136, -309, -572, -943? -3*n**3 + 10*n + 16 What is the a'th term of 3562, 3507, 3454, 3403, 3354, 3307? a**2 - 58*a + 3619 What is the q'th term of -156, -192, -278, -438, -696? -4*q**3 - q**2 - 5*q - 146 What is the n'th term of 120820, 120788, 120734, 120658, 120560? -11*n**2 + n + 120830 What is the z'th term of 5966, 5956, 5932, 5888, 5818? -z**3 - z**2 + 5968 What is the a'th term of 2469, 4938, 7407, 9876, 12345, 14814? 2469*a What is the h'th term of -1177709, -1177691, -1177653, -1177589, -1177493? h**3 + 4*h**2 - h - 1177713 What is the t'th term of 291711, 583429, 875147, 1166865, 1458583? 291718*t - 7 What is the o'th term of 3425, 3444, 3507, 3638, 3861, 4200? 4*o**3 - 2*o**2 - 3*o + 3426 What is the a'th term of 2803, 2848, 2909, 2992, 3103, 3248? a**3 + 2*a**2 + 32*a + 2768 What is the m'th term of 175127, 350250, 525373, 700496, 875619? 175123*m + 4 What is the p'th term of -5769, -23105, -51999, -92451, -144461, -208029, -283155? -5779*p**2 + p + 9 What is the k'th term of 320, 663, 1022, 1403, 1812, 2255, 2738? k**3 + 2*k**2 + 330*k - 13 What is the c'th term of 279, 659, 1137, 1707, 2363, 3099, 3909? -c**3 + 55*c**2 + 222*c + 3 What is the c'th term of 58579, 58571, 58549, 58507, 58439, 58339? -c**3 - c**2 + 2*c + 58579 What is the q'th term of 923, 990, 1153, 1460, 1959, 2698, 3725, 5088? 8*q**3 + 11*q + 904 What is the l'th term of -3087, -6187, -9301, -12435, -15595? -l**3 - l**2 - 3090*l + 5 What is the m'th term of -323562, -647126, -970690, -1294254, -1617818, -1941382? -323564*
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from ppppapjpjpjjajapj. 12/85 Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {m: 1, j: 1, w: 2, a: 1, e: 2}. 2/21 What is prob of picking 1 q and 3 r when four letters picked without replacement from {s: 4, e: 2, q: 1, r: 8}? 8/195 Two letters picked without replacement from tqagtigtaagigig. What is prob of picking 2 i? 1/35 Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {d: 1, w: 1, y: 1, c: 2, z: 3, e: 5}. 3/286 Calculate prob of picking 1 l and 2 q when three letters picked without replacement from zlzfrqrffqrlzl. 3/364 Calculate prob of picking 1 h and 1 w when two letters picked without replacement from wwwwwwwwwhww. 1/6 What is prob of picking 1 p and 1 i when two letters picked without replacement from {r: 10, x: 1, i: 2, p: 7}? 7/95 Calculate prob of picking 1 z, 1 k, 1 o, and 1 b when four letters picked without replacement from {k: 2, i: 3, z: 6, o: 2, b: 2, j: 2}. 12/595 Two letters picked without replacement from {a: 2, y: 4}. What is prob of picking 1 a and 1 y? 8/15 What is prob of picking 2 v when two letters picked without replacement from {u: 7, l: 1, v: 6}? 15/91 Two letters picked without replacement from {k: 1, e: 1, r: 4, z: 8, o: 1, s: 1}. What is prob of picking 1 s and 1 e? 1/120 Two letters picked without replacement from jbqbbqhjhjhjjhhjj. Give prob of picking 2 q. 1/136 Calculate prob of picking 2 m and 1 k when three letters picked without replacement from {m: 2, k: 3, h: 7, a: 1, v: 1}. 3/364 Four letters picked without replacement from aaaaaa. What is prob of picking 4 a? 1 What is prob of picking 2 x when two letters picked without replacement from xmfx? 1/6 Three letters picked without replacement from mzuzmuzzumzuum. What is prob of picking 3 u? 5/182 What is prob of picking 3 h and 1 g when four letters picked without replacement from mmkmsghgggsjkgsggk? 0 Calculate prob of picking 1 j, 1 i, and 2 b when four letters picked without replacement from ibjjjbijjiijiijjb. 36/595 Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {b: 2, p: 6, d: 2, i: 3, u: 1}. 12/91 Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, o: 8, h: 5, v: 1}. 1/120 Two letters picked without replacement from {u: 1, a: 1, s: 2, g: 2, w: 5, b: 2}. What is prob of picking 1 w and 1 u? 5/78 Four letters picked without replacement from onsoonncnto. Give prob of picking 1 n and 3 o. 8/165 Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {h: 3, q: 1, r: 1, i: 1, p: 1}. 1/21 Calculate prob of picking 1 c and 1 u when two letters picked without replacement from lkkuubkkuluubkcuuu. 8/153 Two letters picked without replacement from {z: 7, w: 4, f: 5}. What is prob of picking 2 z? 7/40 Calculate prob of picking 1 d and 2 h when three letters picked without replacement from bbtbuudbbbdbhbdbbhbb. 1/380 What is prob of picking 2 s and 2 l when four letters picked without replacement from {s: 3, l: 5, e: 1}? 5/21 What is prob of picking 1 k, 1 d, and 1 w when three letters picked without replacement from {d: 2, w: 1, k: 1, y: 5}? 1/42 What is prob of picking 2 m and 2 p when four letters picked without replacement from mmpmmmmmmmmmpmmmmm? 2/51 Two letters picked without replacement from {x: 2, b: 1, w: 4, y: 3, q: 2}. What is prob of picking 1 b and 1 w? 2/33 Calculate prob of picking 3 t and 1 d when four letters picked without replacement from ddtdttdttd. 5/21 Three letters picked without replacement from bvvvvbvbvvvvbbvvvvv. Give prob of picking 2 v and 1 b. 455/969 Three letters picked without replacement from diiidriirrddi. What is prob of picking 2 r and 1 i? 9/143 What is prob of picking 2 l when two letters picked without replacement from lvtalaxlvlllav? 15/91 Two letters picked without replacement from arrxxaxxr. Give prob of picking 2 r. 1/12 What is prob of picking 1 l and 1 p when two letters picked without replacement from ppdptplt? 1/7 Three letters picked without replacement from {f: 2, p: 1, x: 1, d: 1}. What is prob of picking 1 d, 1 x, and 1 p? 1/10 Calculate prob of picking 2 h when two letters picked without replacement from {y: 1, h: 11}. 5/6 Two letters picked without replacement from {q: 12, w: 3}. Give prob of picking 2 w. 1/35 Two letters picked without replacement from cwhxcpczccwhzxwwc. What is prob of picking 1 p and 1 x? 1/68 What is prob of picking 2 k, 1 z, and 1 r when four letters picked without replacement from {k: 2, z: 7, r: 3, m: 5, d: 3}? 7/1615 Four letters picked without replacement from {n: 2, y: 4, j: 1, e: 2, z: 3}. Give prob of picking 1 z and 3 y. 4/165 Two letters picked without replacement from {j: 4, z: 1, p: 3, l: 1, c: 4, q: 2}. What is prob of picking 1 c and 1 p? 4/35 Two letters picked without replacement from {z: 2, k: 5}. What is prob of picking 2 z? 1/21 What is prob of picking 1 y and 1 v when two letters picked without replacement from {t: 2, u: 2, v: 4, y: 3}? 12/55 What is prob of picking 1 g and 2 t when three letters picked without replacement from {i: 1, g: 1, t: 5, n: 4}? 2/33 What is prob of picking 1 v, 1 e, and 2 c when four letters picked without replacement from pwcppppcppwpepvpjppp? 1/4845 What is prob of picking 1 x and 1 w when two letters picked without replacement from qguqgweuuexuux? 2/91 What is prob of picking 2 v when two letters picked without replacement from vvvbb? 3/10 Two letters picked without replacement from cclccclccccccclccccc. Give prob of picking 1 l and 1 c. 51/190 Calculate prob of picking 2 e when two letters picked without replacement from llleecclecl. 3/55 Calculate prob of picking 1 a and 1 q when two letters picked without replacement from rrjqrrrrurrrrrua. 1/120 Two letters picked without replacement from {t: 3, a: 4, c: 1, y: 2, x: 1}. Give prob of picking 1 x and 1 a. 4/55 Calculate prob of picking 3 a and 1 o when four letters picked without replacement from {a: 5, o: 4, c: 1, r: 1}. 4/33 What is prob of picking 3 i when three letters picked without replacement from {i: 16, q: 2}? 35/51 Three letters picked without replacement from yjcyyjj. What is prob of picking 2 j and 1 y? 9/35 Four letters picked without replacement from {g: 3, l: 2, v: 1, p: 3, i: 1, e: 2}. What is prob of picking 1 i, 1 p, and 2 g? 1/55 What is prob of picking 1 m, 2 l, and 1 u when four letters picked without replacement from lmllululllllm? 144/715 Two letters picked without replacement from {c: 5, o: 8}. Give prob of picking 2 c. 5/39 Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {w: 1, t: 1, u: 1, i: 2, g: 2}. 1/21 What is prob of picking 2 k and 1 s when three letters picked without replacement from {k: 2, s: 2}? 1/2 Calculate prob of picking 1 v and 3 x when four letters picked without replacement from uvvvvxwrvxwxrv. 6/1001 Calculate prob of picking 1 k, 1 p, and 1 i when three letters picked without replacement from {i: 2, p: 5, k: 8}. 16/91 Three letters picked without replacement from {a: 2, m: 5}. What is prob of picking 1 a and 2 m? 4/7 Calculate prob of picking 1 n, 1 t, and 1 p when three letters picked without replacement from ettpeeetntpptt. 9/182 What is prob of picking 2 s when two letters picked without replacement from sjjsssnn? 3/14 Calculate prob of picking 1 k and 1 g when two letters picked without replacement from egtlk. 1/10 Three letters picked without replacement from {r: 11, f: 1, k: 1, n: 6}. Give prob of picking 1 r, 1 f, and 1 n. 22/323 What is prob of picking 2 o when two letters picked without replacement from rrrkookkrr? 1/45 What is prob of picking 1 v and 1 p when two letters picked without replacement from {p: 2, v: 3}? 3/5 What is prob of picking 1 l and 1 v when two letters picked without replacement from llavlalllllllllllall? 8/95 What is prob of picking 1 x, 1 w, 1 d, and 1 t when four letters picked without replacement from {l: 1, d: 2, x: 6, t: 4, w: 1, m: 1}? 16/455 Two letters picked without replacement from {l: 1, i: 1, m: 1}. Give prob of picking 2 m. 0 Two letters picked without replacement from ibxxb. Give prob of picking 2 b. 1/10 Calculate prob of picking 1 c and 1
{ "pile_set_name": "DM Mathematics" }
e Is 1216 a multiple of 8? True Does 4 divide 658? False Does 16 divide 5769? False Does 27 divide 3942? True Is 14 a factor of 3416? True Does 12 divide 2544? True Is 2 a factor of 132? True Is 400 a multiple of 9? False Is 4600 a multiple of 5? True Is 20 a factor of 24788? False Is 1768 a multiple of 8? True Is 17 a factor of 3322? False Does 15 divide 19965? True Is 3534 a multiple of 31? True Is 1817 a multiple of 5? False Is 2091 a multiple of 39? False Does 4 divide 870? False Is 19 a factor of 2207? False Does 96 divide 4992? True Is 267 a multiple of 50? False Is 726 a multiple of 3? True Does 43 divide 1655? False Is 11862 a multiple of 109? False Does 11 divide 90524? False Is 63 a factor of 524? False Is 231 a multiple of 77? True Is 638 a multiple of 17? False Is 1976 a multiple of 49? False Is 3079 a multiple of 22? False Is 20 a factor of 20? True Is 5 a factor of 1526? False Is 7128 a multiple of 33? True Does 23 divide 446? False Is 353 a multiple of 10? False Is 103 a factor of 1016? False Is 6 a factor of 7123? False Is 32831 a multiple of 174? False Is 60 a multiple of 12? True Does 21 divide 52332? True Is 5166 a multiple of 21? True Does 11 divide 34276? True Does 33 divide 2961? False Is 2422 a multiple of 7? True Is 27 a factor of 77652? True Does 23 divide 246? False Is 11943 a multiple of 75? False Is 157 a factor of 50947? False Is 6 a factor of 10842? True Does 22 divide 282? False Is 3514 a multiple of 54? False Does 19 divide 3819? True Is 15 a multiple of 9? False Is 1248 a multiple of 52? True Is 13 a factor of 2079? False Does 15 divide 11190? True Is 19 a factor of 300? False Is 8128 a multiple of 30? False Is 2306 a multiple of 17? False Does 63 divide 441? True Does 75 divide 15600? True Does 17 divide 6851? True Is 948 a multiple of 79? True Is 6412 a multiple of 16? False Is 6 a factor of 42? True Is 12 a factor of 610? False Does 10 divide 860? True Is 15 a factor of 1055? False Does 112 divide 3472? True Is 29520 a multiple of 18? True Is 19 a factor of 1463? True Is 11468 a multiple of 77? False Is 9 a factor of 1954? False Does 7 divide 741? False Is 10 a factor of 1543? False Does 10 divide 4840? True Does 92 divide 575? False Is 126 a multiple of 6? True Is 9010 a multiple of 106? True Is 150 a factor of 14223? False Is 62 a factor of 2200? False Is 2437 a multiple of 11? False Is 6132 a multiple of 47? False Is 8 a factor of 9384? True Is 270 a multiple of 30? True Is 11 a factor of 65380? False Does 12 divide 4064? False Does 12 divide 564? True Does 32 divide 256? True Is 8 a factor of 266? False Does 77 divide 3183? False Is 32 a factor of 31904? True Does 61 divide 9821? True Is 17940 a multiple of 69? True Does 16 divide 1568? True Is 3168 a multiple of 3? True Does 8 divide 15976? True Is 34 a factor of 6375? False Is 1825 a multiple of 3? False Is 533 a multiple of 41? True Is 45 a multiple of 6? False Does 28 divide 1114? False Is 24 a factor of 3768? True Is 570 a multiple of 12? False Does 23 divide 1725? True Does 28 divide 1400? True Is 64 a factor of 3057? False Is 11 a factor of 7256? False Does 25 divide 1408? False Is 9 a factor of 5310? True Does 128 divide 11776? True Is 47 a factor of 611? True Is 2 a factor of 127? False Is 12 a factor of 4728? True Does 44 divide 1161? False Is 25 a multiple of 25? True Is 10 a factor of 13019? False Is 1690 a multiple of 5? True Does 26 divide 2106? True Is 15 a factor of 155? False Is 2320 a multiple of 10? True Does 35 divide 11468? False Does 15 divide 3404? False Does 23 divide 5925? False Is 3800 a multiple of 10? True Is 30 a factor of 5190? True Is 1815 a multiple of 55? True Is 76 a factor of 46664? True Is 350 a multiple of 14? True Is 57025 a multiple of 185? False Is 2516 a multiple of 74? True Is 13 a factor of 80821? True Does 7 divide 112? True Is 87 even? False Is 7 a factor of 1407? True Is 2 a factor of 12? True Is 34 a factor of 7403? False Is 10 a factor of 15058? False Is 2058 a multiple of 21? True Is 47 a factor of 423? True Is 64 a factor of 7590? False Is 17 a factor of 21680? False Is 413 a factor of 74340? True Is 21 a factor of 3086? False Is 14 a factor of 34611? False Is 748 a multiple of 34? True Is 31 a factor of 8656? False Does 9 divide 13071? False Is 2865 a multiple of 69? False Does 23 divide 4117? True Is 53047 a multiple of 27? False Is 17312 a multiple of 57? False Does 9 divide 26676? True Is 45 a factor of 20880? True Is 110 a factor of 5510? False Does 19 divide 2527? True Is 55 a factor of 2145? True Does 22 divide 16258? True Is 122 a multiple of 12? False Does 16 divide 8315? False Does 28 divide 3220? True Does 31 divide 3283? False Is 7 a factor of 1794? False Is 6 a factor of 1070? False Does 19 divide 261? False Is 4092 a multiple of 12? True Is 213 a multiple of 3? True Is 13 a factor of 2080? True Does 114 divide 2566? False Is 3 a factor of 186? True Is 9302 a multiple of 62? False Is 705 a multiple of 14? False Is 18 a factor of 3960? True Is 10 a factor of 52018? False Is 11 a factor of 165? True Is 6 a factor of 1236? True Is 5886 a multiple of 34? False Is 662 a multiple of 52? False Is 2 a factor of 42? True Is 15 a factor of 20022? False Is 647 a multiple of 3? False Does 190 divide 40514? False Is 31999 a multiple of 198? False Is 2794 a multiple of 22? True Is 15 a factor of 435? True Is 10 a factor of 410? True Does 4 divide 5590? False Is 12 a factor of 4654? False Does 72 divide 23005? False Is 37 a factor of 1221? True Is 27 a multiple of 5? False Is 11 a factor of 448? False Does 375 divide 84562? False Is 6 a factor of 618? True Is 4 a factor of 472? True Is 2009 a multiple of 7? True Is 1275 a multiple of 15? True Is 4301 a multiple of 11? True Is 54648 a multiple of 396? True Does 6 divide 1907? False Is 354 a multiple of 11? False Is 219 a factor of 7459? False Is 3398 a multiple of 189? False Is 22882 a multiple of 30? False Does 45 divide 11098? False Is 46 a factor of 2007? False Is 12 a factor of 23676? True Does 23 divide 138? True Is 160 a factor of 2344? False Is 5 a factor of 19? False Does 30 divide 570? True Is 71 a factor of 2698? True Does 48 divide 3840? True Is 2849 a multiple of 110? False Is 15 a factor of 1185? True Is 31 a multiple of 2? False Is 7242 a multiple of 8? False Is 1586 a multiple of 13? True Is 3827 a multiple of 131? False Is 26 a factor of 1430? True Is 2 a factor of 1415? False Is 4133 a multiple of 6? False Is 191 a factor of 9531? False Is 46 a factor of 8151? False Is 75 a factor of 22800? True Does 6 divide 702? True Is 18 a factor of 1372? False Is 92 a factor of 671? False Does 13 divide 6684? False Does 6 divide 570? True Does 6 divide 120? True Does 9 divide 17234? False Is 68 a factor of 249? False Is 106 a factor of 11024? True Is 29704 a multiple of 188? True Is 428 a multiple of 4? True Is 48 a factor of 588? False Is 253 a multiple of 79? False Does 13 divide 4924? False Is 23100 a multiple of 3? True Does 22 divide 30166? False Is 17562 a multiple of 37? False Is 3 a factor of 994? False Does 83 divide 1494? True Is 6450 a multiple of 43? True Is 6453 a multiple of 26? False Is 9 a factor of 215? False Is 8508 a multiple of 12? True Does 7 divide 21602? True Is 9 a factor of 4113? True Is 48 a factor of 1920? True Is 28 a factor of 700? True Does 7 divide 5412? False Does 13 divide 309? False Is 1892 a multiple of 11? True Is 11 a factor of 48599? False Is 706 a multiple of 47? False Is 692 a multiple of 69? False Is 6 a factor of 582? True Is 870 a multiple of 30? True Is 80 a factor of 6960? True Is 110 a factor of 63634? False Does 19 divide 662? False Does 205 divide 12915? True Is 84 a factor of 65184? True Is 13500 a multiple of 90? True Does 3 divide 1351? False Does 14 divide 5012? True Does 10 divide 650? True Does 19 divide 957? False Does 19 divide 18620? True Is 29 a factor of 14692? False Is 123 a factor of 68941? False Does 93 divide 18693? True Is 66 a factor of 1552? False Is 394 a multiple of 8? False Is 162 a multiple of 18? True Is 40201 a multiple of 230? False Does 37 divide 2290? False Is 39645 a multiple of 157? False Does 17 divide 578? True Does 14 divide 392? True Does 84 divide 672? True Does 17 di
{ "pile_set_name": "DM Mathematics" }
. -1 Let j = 16 + -12. Suppose 2*p - 68 = -4*n, 3*p - 42 = -j*n + 66. Suppose 7*o = 3*o + p. Solve 3*k = -2*k + o for k. 2 Suppose -9*k = -7*k - 14. Solve -47 + 12 = k*j for j. -5 Let u be 6/(-2) + 1 + 21/7. Let j be ((-5)/(-10)*-1)/(u/(-6)). Solve -5*w - 23 = -j for w. -4 Let u be 2/(-5)*(-12 - 38). Suppose 0 = 5*j + u - 35. Solve j = g + 2 for g. 1 Suppose d - 2 = -4. Let l be d + (1 - 3 - -4). Let j be -1 + -3*2*-1. Solve 0 = -l*s + s + j for s. -5 Suppose -24 + 37 = i. Solve -6*s - 14 = -i*s for s. 2 Let j(v) = -216*v + 59. Let b be j(0). Solve -p - 54 + b = 0 for p. 5 Let f be -2*(-5)/((-20)/(-6)). Suppose -f*b - 16 = -11*b. Let t be (-85)/(-15) + (-2)/3. Solve 0 = -t*w - b - 8 for w. -2 Let g(v) = -10 - 2 - 4 - 2*v. Let j be g(-11). Solve j + 6 = 4*z for z. 3 Let h = -2756 - -2761. Solve -h*r - r = 0 for r. 0 Let o(y) = -8*y**2. Let z be o(-1). Let l(r) be the first derivative of r**3/3 + 4*r**2 + 2*r - 9. Let p be l(z). Solve -5*f - 17 = -p for f. -3 Let k be (24/15)/(1/10). Suppose -4*o + 4*d = -k, -5*o - 2*d - 1 = -0. Suppose -4*n - 3*h + 10 = o, 15 = 4*n - 3*h. Solve n*s - 1 = -4 for s. -1 Let y = -6 - -2. Let c = -1 - y. Solve 5*q + c = -22 for q. -5 Let d = 12 - 7. Let h be 0 + 1 - -18 - -1. Suppose h = 3*f + f. Solve d*k - 30 = -f for k. 5 Let l be (-6)/(-15) + (-115)/(-25). Solve l*f - 1 = 14 for f. 3 Let j = 25 - -39. Let f = j - 59. Let l = -11 + 15. Solve f*m + l = -1 for m. -1 Suppose -m - 2*m = -3. Suppose 0 = -4*n - m + 5. Let q be (-10 - -10)/(n*-1). Solve 2*j + j = q for j. 0 Let c be (9 + (-830)/90)/((-2)/234). Solve -23*q + 3 = -c*q for q. -1 Suppose 2*u - 11 = -n + 4*u, 2*n + 14 = -5*u. Suppose q = -n + 12. Suppose 3*a + 0 = q. Solve -s = 2*s - a for s. 1 Suppose -2*s + 100 = 18*s. Solve -7*x = -s*x - 4 for x. 2 Suppose 31*k = 6*k + 75. Let x(m) = -6*m**2 + 20*m - 5. Let o be x(k). Suppose 0*p = -p. Solve -i + p*i = o for i. -1 Suppose 2*b + 0 = 2. Let q be (-5 + 5)*b/2. Solve -3 = -i - q*i for i. 3 Let q(d) = -d**2 + 35*d - 63. Let h be q(33). Solve h*c + 3*c + 30 = 0 for c. -5 Let y be 28 + 14/((1 + 0)*-2). Solve 3*j - 9 + y = 0 for j. -4 Suppose 4*k - 3*k = 3. Suppose w - o - 2*o - 18 = 0, 2*w = 3*o + 21. Let x be 21/(-105) + ((-1)/5)/(-1). Solve -w*f - k = -x*f for f. -1 Suppose -180 = 3*k + 15*k. Let z(x) = -x**2 - 8*x + 24. Let l be z(k). Solve -2*m + l = -m for m. 4 Let z = 77 - 73. Suppose z = q + f, q - 3*f + 24 = 6*q. Solve -3 = -3*g + q*g for g. -1 Let n(u) = -2*u**3 - 6*u**2 - 2*u - 2. Let f be n(-3). Suppose -3*o - 5*y + 31 = 0, f*o + 4*y - 7 - 21 = 0. Solve 5 = -o*k + 3*k for k. 5 Suppose y - 5 = 3*c - 4*c, -5*c - 2 = -4*y. Let o = 291 + -286. Solve y = -4*h - o for h. -2 Let t = -953 - -965. Solve t = -d - 3*d for d. -3 Let f(k) = -16*k + 90. Let q be f(5). Let g(j) = 19*j**2 + 1. Let r be g(-1). Solve q*n - r = 5*n for n. 4 Let y(v) = 55*v - 271. Let o be y(5). Suppose -2*s + 12 = -5*w, -17 - 31 = -4*s + 4*w. Solve -s - o = -4*z for z. 5 Let g(l) be the first derivative of 11*l**3/3 - l**2/2 - 2*l + 17. Let v be g(-1). Let r = 2 - 2. Solve v = 2*t - r*t for t. 5 Suppose -777*q = -780*q + 18. Solve q*x = -x + 21 for x. 3 Let j be (-10)/(-6) + -8*(-12)/(-144). Let l be -1*(0/(-2) - 2). Let m be 3 - (1 - 0) - -1. Solve l + j = -m*u for u. -1 Suppose 357 = t + 351. Solve t*y + 33 = 27 for y. -1 Suppose -3*g - 24 = -5*g. Let n = 471 - 469. Solve 0 = -f - n*f + g for f. 4 Suppose 0 = -2*r + 3 + 1. Let u(y) = 6*y**2 + 46*y - 11. Let c be u(-8). Solve 7 = -c*z + r for z. -1 Let w be (-22 - 0)*(-1)/2. Let a = 26 + -24. Solve -w = 3*d - a for d. -3 Suppose -5*t - 41 - 34 = 0. Let c = 15 + t. Suppose c = -0*x + 3*x. Solve x*h = -2*h - 6 for h. -3 Let s(b) = -b**3 + 15*b**2 - b + 13. Let q be s(15). Let z = q + 10. Solve 3*f + z = -f for f. -2 Let f(x) = -x**3 - 9*x**2 + x + 1. Let u be f(-9). Let p be u - -4 - -1*7. Suppose -p = a - 12. Solve a - 1 = 2*k for k. 4 Let x = 284 - 283. Solve 0 = -w + x + 3 for w. 4 Let r be ((-4)/6)/(4/(-6)). Let m be (-16)/(-3) - ((-348)/36 + 11). Solve m*j + r = 21 for j. 5 Let n(g) be the third derivative of g**6/120 - g**5/15 + g**4/24 + g**3 - 5*g**2. Let m be n(4). Solve -m = -j - j for j. 5 Let m be 55/(((-3)/(-6))/(-8 - -7)). Let g = m - -113. Solve -g*k = k for k. 0 Suppose 20 + 52 = x. Let p be x/27 + (-1)/(-3). Solve f + 8 = -p*f for f. -2 Let c = -409 + 411. Solve 4 = c*p + 12 for p. -4 Let a be 1/(-3) + 25/3. Suppose -18 = 3*g - 180. Suppose -45*y = -g*y + 72. Solve -4*w + a = -y for w. 4 Let q(t) = 84*t + 178. Let o be q(-2). Solve -o*w - 84 = 11*w for w. -4 Suppose -2*h - 5*p + 3 = 0, 10*h - 2*p - 51 = 5*h. Solve 14*m = h*m + 5 for m. 1 Let h = -16 + 18. Suppose h*d = -5*d. Solve 2*s = -d*s for s. 0 Let m be 300/90*((-36)/5)/(-2). Suppose 3*z - 3*b - 40 = b, -b - m = -z. Solve 0 = y + y + z for y. -4 Suppose s = -2*d - 4*s + 22, -5*d = 3*s - 17. Suppose 0 = 41*j - 53 - 29. Solve j*r = 3*r - d for r. 1 Let c = 21 - 27. Let u(o) = -2*o**2 - 7*o + 11. Let j be u(c). Let z = 23 + j. Solve z*d + 6 = 2 for d. -1 Let f = -63 - -65. Solve -v + f*v = 4 for v. 4 Let v be (-76)/(-20) - (-3)/(-30)*-2. Solve -f + v*f = 0 for f. 0 Let z(b) = -b**2 + 11*b - 22. Let v be (7/(140/(-48)))/(6/(-20)). Let l be z(v). Solve -h + 6 = l*h for h. 2 Let g = -216 + 220. Solve 7*i - g*i = 6 for i. 2 Suppose -7*l = -3*l - 5*p - 44, p = -4*l + 20. Suppose -l*w + 137 = 17. Solve -7*b + 3*b = w for b. -5 Let g(u) = -u**3 - u**2 + u + 14. Let i be -3 + 1 - (-1 + -1). Let o be g(i). Let j(n) = n**3 - 14*n**2 + n - 2. Let z be j(o). Solve -p = 3*p + z for p. -3 Suppose c - 3*l - 3 = -l, -5*c + l = -24. Suppose 0 = -g + 5*p - c, -g + 0*g - 2*p + 2 = 0. Solve g = n + n for n. 0 Let b(s) = s - 20. Let y be b(19). Let q be 28/(-7)*y/2. Solve 3*u = -q*u for u. 0 Suppose -51*f = -4673 + 848. Solve 0 = -y + 16*y + f for y. -5 Let r = 18 - 10. Suppose c + c - r = 0. Let u be (2/4)/(c/16). Solve 3 = n + u*n for n. 1 Suppose -v = 3*v + 36. Let c = -7 - v. Solve -c = 4*i + 6 for i. -2 Let y(f) = -2*f + 8*f**2 - 2*f + 16*f + 10 - 6*f**2. Let k be y(-5). Solve k = -4*m + 5*m + 1 for m. -1 Let k = -1366 - -1398. Solve -20*n + 28 = -k for n. 3 Suppose -396 - 654 = -14*o. Solve -10*d = 5*d + o for d. -5 Let s = -196 + 208. Solve 10*b - s*b = 4 for b. -2 Let o(i) = 3*i + 2. Let k be -4 + 0 - (2 - 2). Let x be o(k). Let v be ((-5)/x)/((-1)/(-2)). Solve v = 5*s - 14 for s. 3 Let y(m) = -3*m - 7. Let r = -10 - -7. Let p be y(r). Let k(i) = -i + 8. Let d be k(5). Solve -d*j - 15 = p*j for j. -3 Suppose q - 3 = a, 3*q = -3*a + 2*a - 3. Suppose -2*u + q*u + 4 = 0. Solve 4 = 3*g - u*g for g. 4 Suppose 0 = -y + 3*i + 5, -59*y = -61*y + 3*i + 22. Solve -13*g - 8 = -y*g for g. 2 Let f be (-1 + (-10)/(-4))*2. Let o = 19 - 17. Suppose 0 = -x + 3*x - o. Solve -8 = -f*a + x for a. 3 Suppose -68 - 32 = -5*h. Suppose -4*i + 72 + h = 0. Let v = -18 + i. Solve -11 = v*f + 4 for f. -3 Suppose -4 = -4*t + 8. Suppose p + 2*z + 6 = -0*p, -t = -3*p + z. Solve 4*k = -p*k for k. 0 Let m = -251 - -277. Solve -22*b - 20 = -m*b for b. 5 Let d be (4/8)/((-2)/(-44)). Let z(i) = i**2 - 3*i + 4. Let u be z(4). Suppose d*w - 45 = u*w. Solve 10*h - w = 5*h for h. 3 Suppose 27 = 5*d - k + 8, -4*d - k = -17. Solve 0 = d*v - 11 + 23 for v. -3 Let w(i) = -i**2 + 25*i + 116. Let g be w(29). Solve g = n + 3 - 6 for n. 3 Suppose 2*l - l = 2. Let i(a) = a**3 + 8*a**2 + 8*a + 8. Let q be i(-7). Suppose -q - 5 = -3*s. Solve s*v = -l*v + 12 for v. 3 Let i(r) = 3*r**2 - 2*r + 3. Let j be i(2). Suppose -5*w + j = -14. Solve 22 = w*a - 3 for a. 5 Let s = 24 + -12. Let q be (1/2)/(1/s). Suppose -q*p = -p. Solve -c - 1 = -p*c for c. -1 Let a be (14/3)/((-18)/(-54)). Solve 9*h = a*h + 20 for h. -4 Let m be (-4 + -2)*(-1)/2. Let o(b) = -b**3 + 3*b**2 + 2*b - 3. Let u be o(m). Solve -2*y + u = -3 for y. 3 Let p be (-1*(-1)/3)/((-49)/(-735)). Solve p - 5 = -7*q for q. 0 Suppose -1042 = -31*y - 81. Solve 24*p = y*p - 28 for p. 4 Let i = 55 - 56. Let t be (0 + 1/i)*-5. Solve 0*c = t*c - 10 for c. 2 Let x(p) = 3*p**2 + 3*p + 4. Let w be x(2). Solve w - 6 = -8*u for u. -2 Suppose -7 = -j + i, -5*j + 4*i - 37 = -68. Solve -4*a + j = 23 for a. -5 Let y = 2 + -1. Let i be (7/(-14))/(2/(-340)). Let b = i - 78. Solve b = 4*w - y for w. 2 Let o = 146 + -142. Solve -19 = -5*t - o
{ "pile_set_name": "DM Mathematics" }
680*r**3 - 600*r**2 - 24*r Differentiate 323*q**4 - 2*q**2 + 559 wrt q. 1292*q**3 - 4*q Find the second derivative of -2729*p**2 + 14*p + 51. -5458 Differentiate -58*m**3 + 4*m**2 - 2*m*u - 128*u + 3 with respect to m. -174*m**2 + 8*m - 2*u What is the first derivative of 87*w**3 - 5*w + 797? 261*w**2 - 5 Find the third derivative of -3*a**5*p - 38*a**4*p**3 + 4*a**2*p + 7*a**2 - 4*a*p**3 wrt a. -180*a**2*p - 912*a*p**3 Find the third derivative of -5*a*y**6 + 5*a*y**4 - 4*a - y**2 + 2*y wrt y. -600*a*y**3 + 120*a*y Differentiate 11*l**2*n - 1411*l**2 - 46*l*n**4 wrt n. 11*l**2 - 184*l*n**3 What is the second derivative of 8*f**5 - 3*f**2 - 179*f? 160*f**3 - 6 What is the second derivative of 517*m**2 - 199*m wrt m? 1034 What is the second derivative of 4008*w**5 + 3696*w? 80160*w**3 What is the first derivative of 51*h*j*m + h*j + 51*h*m**2 - h + j*m**2 wrt j? 51*h*m + h + m**2 Find the third derivative of -2*k**6 - k**4 + 18681*k**2 wrt k. -240*k**3 - 24*k What is the first derivative of 1202*a**2*r**2 - 4*a**2 + 274*a + 2 wrt r? 2404*a**2*r What is the first derivative of -224*f**2*k - 2*k + 22 wrt f? -448*f*k Differentiate -2*d**3 + 543*d - 3371. -6*d**2 + 543 Find the third derivative of 454*f**5 + 635*f**2. 27240*f**2 What is the derivative of 15675*g + 9710 wrt g? 15675 What is the derivative of -6*d**2*j**2*n + 6*d**2*n - 2*d**2 - 132*d*j**2 + j*n**2 wrt n? -6*d**2*j**2 + 6*d**2 + 2*j*n Find the second derivative of -6*c**2*u**2 - 5*c**2 + 51*c*u**4 - 15*c*u - 19*c + u**3 wrt u. -12*c**2 + 612*c*u**2 + 6*u What is the first derivative of 11837*l + 9762 wrt l? 11837 Find the third derivative of 4059*r**6 + 11557*r**2. 487080*r**3 Find the third derivative of -f**4*l*r - 342*f**4 - 2*f**3*l*r - 7*f**2*l*r + f**2*r - 6*f*r + 5*f wrt f. -24*f*l*r - 8208*f - 12*l*r Find the second derivative of -10*f**2*j*z**3 - 7*f**2*j + 4*f**2*z**3 + f*j*z**2 + f*j*z + j*z + 3*z**3 wrt f. -20*j*z**3 - 14*j + 8*z**3 Differentiate 522*i**3*z - 48*i**3 + 4*i**2 wrt z. 522*i**3 Differentiate -537*o**2 + 171 with respect to o. -1074*o What is the derivative of 14*j**2*l**2*w + 18*j**2*l*w + 9*l**2*w + 112*w wrt j? 28*j*l**2*w + 36*j*l*w What is the first derivative of -7903*h**2 - 13314? -15806*h Find the second derivative of 7720*a**3 + 2*a + 1800. 46320*a Differentiate -3991*y**4 - 808 wrt y. -15964*y**3 What is the derivative of t**4*x - 121*t**3*x - 17*x + 26 wrt t? 4*t**3*x - 363*t**2*x What is the third derivative of -2*b**3*p**2 - 45*b**3 - b**2*p**2 - 209*b**2*p wrt b? -12*p**2 - 270 What is the derivative of -195*h*r*w + 4*h*w - 420*h - 7*r*w wrt r? -195*h*w - 7*w Find the second derivative of -1221*x**2*z**2 + 2*x**2 - 832*z wrt z. -2442*x**2 What is the first derivative of 10600*v**4 - 25539 wrt v? 42400*v**3 Find the third derivative of -2602*p**3 - p**2 + 598*p. -15612 What is the second derivative of -3*j*o**2*s**5 - 8*j*o**2*s + 4*j*o*s - 2219*j*s**3 - 4*o**2*s + 4*o**2 + 2*s wrt s? -60*j*o**2*s**3 - 13314*j*s Find the third derivative of -2*i**3*r**3*x**2 - 56*i**3*r*x**3 - 25*i**2*r*x**3 - 13*i**2*x - 2*i*r**3 wrt i. -12*r**3*x**2 - 336*r*x**3 Find the second derivative of 11*g*m*o**3 - 8*g*m - 3*g*o**3 + g + 2*m*o**3 - 2*m*o wrt o. 66*g*m*o - 18*g*o + 12*m*o Differentiate 5*n**4 - 534*n**3 - 6596 wrt n. 20*n**3 - 1602*n**2 What is the third derivative of -286*i**3*n*z**2 - i**3*z - 7*i**3 - 10*i**2*z - 2*i*n*z**2 - 2*n*z + 2*z**2 wrt i? -1716*n*z**2 - 6*z - 42 Find the third derivative of 1608*z**5 + 506*z**2 wrt z. 96480*z**2 What is the third derivative of h**2*k**3*x + 2*h**2*k + h**2 + 20*h*k**2 + h*x + 796*k**3*x + 2*k**3 - k*x wrt k? 6*h**2*x + 4776*x + 12 What is the second derivative of 5040*n**2 - 753*n? 10080 What is the first derivative of -o*w**2 - 3*o*w + 10*o + 2*w**3 + 4 wrt w? -2*o*w - 3*o + 6*w**2 What is the first derivative of -k*r + 5*k*s**2 - 3*k + 27*r*s**4 - 13*r wrt s? 10*k*s + 108*r*s**3 Find the first derivative of 98*k**3*u**4 - 787*k**3 + 2*k**2*u**4 wrt u. 392*k**3*u**3 + 8*k**2*u**3 What is the derivative of 4*g**2*i + 14*g**2*q**2 - g**2*q + 37*g*i*q**2 + q**2 wrt i? 4*g**2 + 37*g*q**2 Differentiate 78*m**3 - m**2 + 976. 234*m**2 - 2*m What is the first derivative of -265*o**3*u - o**3 + 2*o**2*u - 2938*u wrt o? -795*o**2*u - 3*o**2 + 4*o*u What is the derivative of -393*c**3*q**3 + 290*c**3 wrt q? -1179*c**3*q**2 What is the second derivative of 9537*b**2 + b + 14364 wrt b? 19074 What is the second derivative of -312*z**4 - 26*z + 2 wrt z? -3744*z**2 What is the derivative of -2*h**3*j - 9*h**3 - 16*h**2 + h*j**2 + 902*j wrt j? -2*h**3 + 2*h*j + 902 Find the second derivative of -249*s**4 + 2*s - 138 wrt s. -2988*s**2 Find the second derivative of 1009*h**3 - 2*h + 384 wrt h. 6054*h Differentiate -14*n**2*q**2 - 3*n**2*q - 2*n**2 - n*q**2 - 137 with respect to q. -28*n**2*q - 3*n**2 - 2*n*q Find the third derivative of -5*f*h**3 - 2*f*h**2 + 3*h**5 + h**3 + 43*h**2 wrt h. -30*f + 180*h**2 + 6 Find the third derivative of -3*s*y**3 - 182*s*y**2 - 44*y**4 wrt y. -18*s - 1056*y Find the first derivative of -1544*f*j - 964*j + 2 wrt f. -1544*j Find the third derivative of 28*j**5 - 7*j**3 - 1918*j**2 wrt j. 1680*j**2 - 42 What is the second derivative of -3795*v**5 - 104*v + 15 wrt v? -75900*v**3 Find the third derivative of 1943*h**3 - h**2 + 122 wrt h. 11658 What is the second derivative of b**5*j + 116*b**5 - 2*b**2*j**3 - 123*b*j**3 + 2*j**3 wrt b? 20*b**3*j + 2320*b**3 - 4*j**3 What is the second derivative of -101*q**3 + q**2*w**2 + 2*q*w**2 - 2*q - 2*w**2 wrt q? -606*q + 2*w**2 Find the second derivative of 89*w**3 - w - 9. 534*w Find the third derivative of 11814*j**6*o**2 - 11473*j**2*o - 2*j*o**2 wrt j. 1417680*j**3*o**2 Find the second derivative of 978*o**5 - 2371*o wrt o. 19560*o**3 Find the third derivative of 2347*o**5 - 2799*o**2. 140820*o**2 Find the second derivative of 13967*z**5 - 1731*z + 3 wrt z. 279340*z**3 Differentiate 7*n**2*q - 126*n**2 - 2*n*q**2 - 4*q + 2 with respect to q. 7*n**2 - 4*n*q - 4 Find the second derivative of -j**4 - 303*j**2 - 517*j. -12*j**2 - 606 Find the third derivative of -3*p**6 + 7*p**3 - 291*p**2. -360*p**3 + 42 Differentiate -176*l**2 + 115 wrt l. -352*l What is the second derivative of 29*c**2*h**2 - 10*c**2*h + 7*c**2*x**2 + 36*c*x**2 - 2*h**2*x**2 - h*x - 1 wrt x? 14*c**2 + 72*c - 4*h**2 Find the second derivative of 67*b**5 - 2*b**2 + 164*b. 1340*b**3 - 4 What is the first derivative of -129*f**2*r + 2*f**2 - 22*f - 4*r + 6 wrt r? -129*f**2 - 4 What is the derivative of 638*b**2*o**3 + 3*b**2*o - 16*b**2 + 12 wrt o? 1914*b**2*o**2 + 3*b**2 Find the second derivative of -4*b**3*h**3 - 20*b**3*h + 3*b**3 - 116*b**2*h**2 + 7*b**2*h + h**3 wrt h. -24*b**3*h - 232*b**2 + 6*h What is the second derivative of -3*b**3*l**2 + b**3*l - 25*b**2*l**2 + 16*b**2*l wrt l? -6*b**3 - 50*b**2 Find the third derivative of -3*d**6*r**2 + 85*d**4*r**2 - 81*d**2*r**2 - 9*d**2 wrt d. -360*d**3*r**2 + 2040*d*r**2 What is the third derivative of 3*k*l*x**3 - 5*k*l*x - 2*k*l - 2*k*x**3 - 2*k*x**2 - 4*k + 8*l*x**3 wrt x? 18*k*l - 12*k + 48*l What is the third derivative of 68*x**3 + 3175*x**2 - 2*x? 408 What is the second derivative of -192*p**2 + 544*p? -384 Find the second derivative of -d**2*n**3 + 101*d**2*n**2 - 9*d**2 - 4*d*n**3 - 2*d*n**2 + 318*n**3 wrt d. -2*n**3 + 202*n**2 - 18 Find the third derivative of 17*a**3*o**3 + 14*a**3 - 15*a**2*o**4 + 5*o**2 wrt o. 102*a**3 - 360*a**2*o Find the third derivative of -10*j**5 + j**4 + 75*j**3 + 5*j**2 + 755*j wrt j. -600*j**2 + 24*j + 450 Find the second derivative of -2*f**2*i*y - 974*f**2*i + 2*f + 16*i*y + y wrt f. -4*i*y - 1948*i Find the second derivative of 5*c**2*p**2*t**2 + c**2*p**2 + 5*c**2 - 2*c*p**2*t**2 + c*p - 5*p**2 wrt c. 10*p**2*t**2 + 2*p**2 + 10 Differentiate 5*d*x**3 + 1248*d - x**4 + 36*x**3 with respect to x. 15*d*x**2 - 4*x**3 + 108*x**2 What is the second derivative of 4*h**2*n**2*y - h**2*n*y + 2*h*n**2*y - 20*h*n**2 + 2*n*y wrt h? 8*n**2*y - 2*n*y What is the third derivative of 30*g**2*v**3 + 2*g**2*v**2 - 10*g*v**2 - 3*v**4 - 30*v wrt v? 180*g**2 - 72*v What is the derivative of -2*c*d*s**3 - 49*c*d + 36*c*s**3 + 7*c*s**2 + 2*c*y**2 - 7*d*s*y**2 + 2*s**3*y**2 wrt d? -2*c*s**3 - 49*c - 7*s*y**2 What is
{ "pile_set_name": "DM Mathematics" }
l(d) = 3*d. Let m(r) = -r**2 + r. Let p be (-2)/8 - 2/((-40)/(-55)). Give p*m(x) + l(x). 3*x**2 Let g(v) = -8*v**3 + 7*v**2 + 7. Let f(t) = 3*t. Let y be f(2). Let u(i) = 6 + y*i**2 - 2*i**3 - 7*i**3 + 2*i**3. Let d = -136 - -143. What is d*u(m) - 6*g(m)? -m**3 Let h(y) = y**2 - 2*y + 10. Let u(j) = j**2 - 2*j + 9. Give -4*h(n) + 3*u(n). -n**2 + 2*n - 13 Let u(h) = h**2 + 8*h - 1. Let q be u(-7). Let l = 13 + q. Let z(t) = 6*t**3 + t. Let m(k) = -k**3. What is l*m(n) + z(n)? n**3 + n Suppose 30*m - 37*m = 21. Let g(x) = 3*x**2 + 4*x. Let c be (-1)/(-2) + 18/4. Let k(w) = w**2 - 2*w + c*w + w**2. Calculate m*g(d) + 4*k(d). -d**2 Let h = -6 - -10. Suppose 2*k + 3*g - 2 = 5, 3*g - 9 = 0. Let z(j) = -j - 1. Let m(f) = f**2 - 3*f - 2. Determine h*z(t) + k*m(t). -t**2 - t - 2 Let m(w) = -5*w + 2. Let k(x) be the first derivative of 3*x**2/2 - x - 1. Let n = -5 + 13. Give n*k(c) + 5*m(c). -c + 2 Let j(w) = -3*w + 3*w + w**2. Let p(b) = 6*b**2 + b. Let u be -15*((-1)/(-3))/1. Let y = 2 - 1. What is u*j(t) + y*p(t)? t**2 + t Let d(z) = -3*z**2. Let r(j) = 4*j**2 + j. What is 3*d(b) + 2*r(b)? -b**2 + 2*b Let n(d) = -15*d**2 - 4*d - 5. Let k(w) = -w**2 + w + 1. What is 5*k(b) + n(b)? -20*b**2 + b Let g(k) = -k**2 + k. Let y(z) = -11*z**2 - 5*z. Determine -5*g(q) - y(q). 16*q**2 Let k(z) = -5*z + 8. Let c(y) = 7*y - 3*y - 2 - 3*y. Suppose 0 = -0*i - 4*i + 2*a + 18, i = -4*a - 18. Give i*k(s) + 9*c(s). -s - 2 Let i(x) = -12*x + 3 + 27*x**2 - 8*x + 6*x - 4*x**2. Let o(s) = 8*s**2 - 5*s + 1. Give 6*i(m) - 17*o(m). 2*m**2 + m + 1 Let h(k) = -29*k**2 + 2*k + 2. Let z(r) = 465*r**2 - 33*r - 33. Determine 33*h(w) + 2*z(w). -27*w**2 Let d(c) = 4*c**2 + c + 4. Suppose -3*r + h + 6 = 0, 2*r + 2*h - 12 = -0*h. Let n(z) = 3*z + 6 + z**2 + 8*z**2 + r. Calculate -5*d(o) + 2*n(o). -2*o**2 + o - 2 Let z(b) = 11*b**3 + 4*b**2 - 4*b - 4. Let g(y) = -133*y**3 - 49*y**2 + 49*y + 49. Calculate -4*g(s) - 49*z(s). -7*s**3 Let k(i) = 6. Let u(x) = x - 17. Let v = -60 - -77. What is v*k(q) + 6*u(q)? 6*q Let g(n) = -8*n**2 - 2*n**2 + 12*n**2 - 2*n - 2. Let p(q) = q**2 - 1. Give -g(y) + 3*p(y). y**2 + 2*y - 1 Let h(i) = -i - 1. Let m(r) be the third derivative of 0*r - 1/12*r**4 - r**2 - 5/6*r**3 + 0. Let o(t) = -t + 9. Let x be o(6). Determine x*h(q) - m(q). -q + 2 Let g(n) = n - 7. Let j be g(10). Let m(x) = -3*x**3 + 4*x**3 + 2*x**3 + x**j - 2*x - 2. Let k(b) = 9*b**3 - 5*b - 5. What is 2*k(l) - 5*m(l)? -2*l**3 Let c(g) = -g. Let t(l) be the third derivative of l**4/6 - l**3/6 + 6*l**2 + 9*l. Let i be (-86)/18 - 4/18. Calculate i*c(b) - t(b). b + 1 Let v(z) = 5*z - 1. Let p(q) = -16*q + 2. Give -3*p(s) - 8*v(s). 8*s + 2 Let n(w) = -3*w**3 + 5*w**2 + 5. Let q(p) = -4*p**3 + 6*p**2 + 6. Let b(t) = -t**3 - 30*t**2 - 56*t - 5. Let s be b(-28). Determine s*q(h) + 6*n(h). 2*h**3 Suppose 32 = -5*i + i. Let z(f) = 6*f - 8. Let d = 4 + -2. Let u(l) = -1 - 4*l + d + 4. Calculate i*u(r) - 5*z(r). 2*r Let a(m) = 14*m + 2. Let t(r) = 1. Give -a(d) - 2*t(d). -14*d - 4 Let w(r) be the third derivative of 1/3*r**3 + 0*r + 0 + 5*r**2 - 1/24*r**4. Let z(m) = 5*m - 8. Give 9*w(l) + 2*z(l). l + 2 Let q(o) = 4*o**2 - 3*o - 6. Let i(s) = s**2 - s - 1. Calculate 6*i(m) - q(m). 2*m**2 - 3*m Let d(f) = 8 + 0*f - 2 - 7*f. Let g(o) be the second derivative of -13*o**3/6 + 11*o**2/2 - 3*o. Let n = -2 - -8. Determine n*g(i) - 11*d(i). -i Let c(z) = 10*z. Let r(s) be the first derivative of -9*s**2/2 - 17. Give -3*c(d) - 4*r(d). 6*d Let z(w) = -2*w + 1. Suppose -2*o = 3*o - 35. Let y(j) = -5*j + 3. Let t(f) = -3 + 2*f - 2*f**2 + 2*f + f**2. Let c be t(4). Calculate c*y(q) + o*z(q). q - 2 Let o(s) = 9*s**2 - 29*s - 5. Let j(q) = 4*q**2 - 15*q - 2. Give -5*j(a) + 2*o(a). -2*a**2 + 17*a Let m(w) = 14*w + 11. Let x(g) = g + 0*g - 5*g - 4 - g. Calculate 4*m(q) + 11*x(q). q Let m(y) = -13*y - 7. Suppose 2*z + 40 = 7*z. Let u(v) = 4 + v + 1 + z*v. Let i = 16 + -9. Determine i*u(o) + 5*m(o). -2*o Let p(w) = -1. Let q(y) = -5 + 4*y + 3*y - 4*y - 5*y. Let o be q(-4). Let k(r) = -r**2 - 2 + 0*r**2 + 4. Determine o*p(s) + k(s). -s**2 - 1 Let v(t) = t**3 - 2*t**2 + 3*t. Let y(i) = 5*i**3 - 9*i**2 + 13*i - 1. Let n(g) = -g**2 - g - 2. Let p be n(-1). Calculate p*y(s) + 9*v(s). -s**3 + s + 2 Let h(w) = 5*w**3 + 25*w**2 - 4*w - 4. Let r(v) = v**3 + v**2 - v - 1. Determine -h(c) + 4*r(c). -c**3 - 21*c**2 Let o(k) = -29*k**3 + 6*k**2 - 6. Let n(z) = 2205*z**3 - 455*z**2 + 455. Calculate -6*n(s) - 455*o(s). -35*s**3 Let j(a) be the first derivative of -2*a**3/3 - 5*a**2/2 - a - 3. Let k(t) = t**2 + 3*t. Give -3*j(z) - 5*k(z). z**2 + 3 Let b(q) = -5*q**3 - 5*q - 5. Let a(g) = 2*g**3 + 2*g + 2. What is -8*a(n) - 3*b(n)? -n**3 - n - 1 Let b(n) = -3*n**3 + 15*n**2 - 15*n + 15. Let d(t) = -t**2 + t - 1. Give 3*b(j) + 45*d(j). -9*j**3 Let k(f) = -f**3 + 5*f**2 + 5*f. Let w(t) = -3*t - 3. Let u be w(-3). Let l(i) = 2*i**3 - 6*i**2 - 6*i. Calculate u*k(m) + 5*l(m). 4*m**3 Let p = 7 + 3. Let y = p - 6. Let m(r) = -y + 8 - 3. Let f(x) = -x. What is f(s) - 2*m(s)? -s - 2 Let x(t) = -13*t + 25. Let j(u) = 3*u - 6. Determine -9*j(k) - 2*x(k). -k + 4 Let i(b) = -b**3 + 5*b**2 + 2. Let p(z) = -4*z**2 - 1. Determine -2*i(n) - 3*p(n). 2*n**3 + 2*n**2 - 1 Suppose -5*n = -1 + 11. Let z(u) = -4*u. Let r(o) be the first derivative of 5*o**2/2 + 20. Determine n*r(b) - 3*z(b). 2*b Let y(o) = 5*o**3 - o**2 + 3*o + 2. Let g(w) = w**3 - w. Calculate -3*g(f) - y(f). -8*f**3 + f**2 - 2 Let t = 12 - 5. Let d(z) = 6*z - 4. Let f(q) = 11*q - 7. Let s(b) = t*d(b) - 4*f(b). Let a(h) = -h - 1. What is -a(l) + s(l)? -l + 1 Let q(o) = -4*o - 2. Let h(u) = -u + 3. Let j(r) = -3*r + 7. Let y(x) = 5*h(x) - 2*j(x). Calculate q(t) + 3*y(t). -t + 1 Suppose 13*q + 3 = 10*q. Let s(v) = -2*v**3 - 4*v**2 - 2*v. Let a(p) = -p**3 - p**2. Give q*s(k) + 4*a(k). -2*k**3 + 2*k Let v(c) = -4*c**2 + 5*c - 2. Let l(u) = -u - 3*u + 2 - 34*u**2 + 37*u**2. Let a be -1*(1*-5 - 1). Calculate a*l(b) + 5*v(b). -2*b**2 + b + 2 Let o(w) be the third derivative of -7*w**4/24 - w**3/2 - w**2 - 5. Let m(l) = l. What is -6*m(y) - o(y)? y + 3 Let c(t) = 6*t**3 + 5*t**2 - 5. Let f(g) = -g**3 - g**2 + g + 1. What is -c(p) - 5*f(p)? -p**3 - 5*p Let l(x) = x**2 - x - 1. Let h(v) = 6*v**2 - 6*v - 4. Determine -h(u) + 4*l(u). -2*u**2 + 2*u Let c(d) = -2*d**2 - 3*d + 3. Let b be (-294)/28 - (-1)/(-2) - 3. Let w(s) = -5*s**2 - 7*s + 7. Determine b*c(z) + 6*w(z). -2*z**2 Let r(h) = 18*h - 2. Let j(a) = 9*a - 1. Calculate -5*j(p) + 2*r(p). -9*p + 1 Let o(z) = -z**2 - 3*z - 4. Suppose 2*g - 44 = -2*g. Suppose 0 = -4*x - g - 5. Suppose -2*b - 34 + 12 = 0. Let r(u) = 3*u**2 + 8*u + 11. Give b*o(j) + x*r(j). -j**2 + j Let w = 5 + -2. Suppose 0 = -p + 1, 2*v - w*p + 24 = -p. Let c = 18 - 12. Let f(a) = 4*a - 13. Let t(x) = 2*x - 7. Determine c*f(d) + v*t(d). 2*d - 1 Let g(t) = 3*t**3 + 2*t**2 + 9. Let f(l) = 4*l**3 + 3*l**2 + 10. Determine -2*f(h) + 3*g(h). h**3 + 7 Let b(r) = 4*r**3 + 3*r**2 - 2*r. Let s(h) = 13*h + 7*h**2 + 9*h**3 - 9*h - 9*h. Suppose -4*o = -m - 32 + 8, -2*m + 18 = 3*o. Determine o*s(k) - 14*b(k). -2*k**3 - 2*k Let f(i) = 0*i - 9*i + 10*i + 5. Suppose 0*o = -4*o + 12. Let g(j) = 1. Give o*g(k) - f(k). -k - 2 Let s(n) be the second derivative of n**3/6 - n**2/2 - 45*n. Let x(w) = w + 1. What is -3*s(v) - 3*x(v)? -6*v Let b(u) = -18*u**3 + 5*u**2 + 5*u + 5. Let s(c) = -91*c**3 + 26*c**2 + 26*c + 26. Give 26*b(r) - 5*s(r). -13*r**3 Suppose 6 = v + v. Let b(z) = -2*z**2 - 3*z - 3. Suppose -4*c + 101 = -4*k + 41, 2*c - 16 = k. Let g(w) = -10*w**2 - 14*w - 14. Give k*b(q) + v*g(q). -2*q**2 Let c(o) = o**2 + 39. Let k(h) = -h**2 - 1. Calculate -c(b) - 2*k(b). b**2 - 37 Let u(j) = -4*j + 2. Suppose 3*z = 5*m + 13 + 4, 2*m - 3*z + 14 = 0. Let h(c) = c + 1. What is m*h(p) + u(p)? -5*p + 1 Let g(u) = -10. Let h(k) = k - 51. Calculate 11*g(w) - 2*h(w). -2*w - 8 Let t(a) = -5*a. Let n(j) = j**2 - 5*j. Let x be n(6). Let s(w) = 6*w. What is x*s(y) + 7*t(y)? y Let d(q) = 36*q**3 - 21*q**2 - 21*q. Let f(w) = -7*w**3 + 4*w**2 + 4*w. Calculate -4*d(u) - 21*f(u). 3*u**3 Let k(g) = -2*g**2 + 0 + g**2 + g**3 - 1. Let m be -2 - -2*(-1)/(-2). Suppose -2*w - 2 = 4. Let d(l) = -2*l**3 + 3*l**2 + 3. Calculate m*d(f) + w*k(f). -f**3 Let l(p) = -20*p**2 - 17*p - 17. Let j(n) = -7*n**2 - 6*n - 13. Let f(o) = 7*o*
{ "pile_set_name": "DM Mathematics" }
36 - 29*c**3/6 + c**2 - 1. Let h(f) be the first derivative of n(f). Factor h(b). -2*(b + 1)*(b + 5)/3 Let n(c) = 17*c**2 - 136*c + 155. Let x be n(7). Solve 0 - 126*u**2 - 10/3*u**5 - 102*u**3 - 94/3*u**4 - x*u = 0. -3, -2/5, 0 Let y(w) = 3*w**3 + 90*w**2 + 667*w + 23564. Let u be y(-31). Factor -5/2*l - 1/2*l**u + 0 + 5/2*l**3 + 1/2*l**2. -l*(l - 5)*(l - 1)*(l + 1)/2 Let w = -49 + 52. Determine x so that -4*x**5 - 11*x**2 + 4*x**w - 75*x**4 + 39*x**4 + 47*x**2 = 0. -9, -1, 0, 1 Factor 8*y**4 + 788544 + 5*y**4 + 515040*y - 6*y**4 + 0*y**4 - 3*y**4 + 80548*y**2 - 1160*y**3. 4*(y - 148)**2*(y + 3)**2 Let p(t) = t**3 + 296*t - 222. Let a(b) = 3*b**3 - 22*b**2 + 1182*b - 888. Let l(z) = 3*a(z) - 11*p(z). Factor l(u). -2*(u - 3)*(u - 1)*(u + 37) Let u(i) be the third derivative of i**6/300 + 13*i**5/75 + 71*i**4/60 + 46*i**3/15 + 4*i**2 + 4*i - 18. Factor u(n). 2*(n + 1)*(n + 2)*(n + 23)/5 Suppose 7*h + 8 + 246 = 149*h - 15*h. What is c in -15/4*c**h - 5/4*c**4 + 25/4*c**3 + 0*c + 0 - 5/4*c**5 = 0? -3, 0, 1 Solve -1335905*u + 667539*u - 3240 + 673216*u + 15*u**2 = 0. -324, 2/3 Let u(z) be the second derivative of 25*z - 34/5*z**3 + 1 + 2601/5*z**2 + 1/30*z**4. Suppose u(k) = 0. Calculate k. 51 Solve -33*b + 94 - 9091*b**3 - 10 - 3*b**2 - 11*b + 9092*b**3 + 2*b**2 = 0. -7, 2, 6 Suppose -14*j = -21*j. Let t(l) be the second derivative of -22*l + j - 1/90*l**6 - 1/60*l**5 + 0*l**3 + 1/36*l**4 + 0*l**2 + 1/126*l**7. Factor t(g). g**2*(g - 1)**2*(g + 1)/3 Let w(t) be the third derivative of 3*t**8/896 + t**7/140 - 19*t**6/320 - t**5/20 + 3*t**4/16 + 310*t**2. Suppose w(l) = 0. Calculate l. -3, -1, 0, 2/3, 2 Let t(y) be the third derivative of -1/60*y**6 + 1/140*y**7 + 0*y - 30*y**2 - 1/30*y**5 + 0*y**3 + 0*y**4 + 0. Suppose t(k) = 0. What is k? -2/3, 0, 2 Suppose 0 = -2*s + 8, 5*s = 4*o + 2070 + 1574. Let x = -902 - o. Let 4/9*y**3 - 8/9 - 40/9*y + 14/9*y**x - 14/3*y**2 = 0. Calculate y. -1, -2/7, 2 Let b(c) be the first derivative of 5*c**6/6 + 443*c**5/3 - 3745*c**4/6 + 3010*c**3/3 - 4525*c**2/6 + 755*c/3 - 9801. Determine y so that b(y) = 0. -151, 1/3, 1 Suppose -33*u = -30*u + 18. Let d be 3 - -21*2/u. Let m(i) = -i**2 + i + 1. Let n(r) = -10*r**2 + 6*r + 7. Let f(o) = d*n(o) + 36*m(o). Factor f(p). 4*(p + 1)*(p + 2) Let w(n) be the first derivative of 2*n**3/3 - 1462*n**2 + 1068722*n - 1718. What is v in w(v) = 0? 731 Let p(f) be the third derivative of -f**5/40 + 119*f**4/16 - 117*f**3/2 + 47*f**2 + 2*f + 5. Let p(c) = 0. Calculate c. 2, 117 Let m(a) = 4*a**2 + 58*a + 300. Let f(h) = -h**2 + 6*h. Let g(l) = 2*f(l) + m(l). What is u in g(u) = 0? -30, -5 Factor -1/3*a**2 + 641/3 + 640/3*a. -(a - 641)*(a + 1)/3 Factor -1314/19*a + 2620/19 + 2/19*a**2. 2*(a - 655)*(a - 2)/19 Factor 24*m**2 + 2*m**3 - 23831 + 23727 + 8*m**2 + 70*m. 2*(m - 1)*(m + 4)*(m + 13) Let y(m) be the third derivative of -m**7/210 - 29*m**6/24 - 1823*m**5/20 - 15407*m**4/24 - 5041*m**3/3 - 695*m**2. Factor y(c). -(c + 1)*(c + 2)*(c + 71)**2 Let m(l) be the third derivative of -l**5/120 + 2*l**4 + 100*l**3/3 - 3673*l**2. Factor m(r). -(r - 100)*(r + 4)/2 Let a be ((-26544)/(-79))/(-4) + 86. Factor -2/7*n**a - 14450/7 - 340/7*n. -2*(n + 85)**2/7 Let 40729*d**2 - 150*d - 40864*d**2 - 6*d**3 + 280 + 11*d**3 = 0. Calculate d. -2, 1, 28 Find n such that 3/4*n**3 + 0*n + 0 + 3/4*n**4 - 3/2*n**2 = 0. -2, 0, 1 Let b = 665 + -662. Factor -25*x - 11*x**2 + 11*x - 12*x**b - 5*x**2 + 14*x - 2*x**4. -2*x**2*(x + 2)*(x + 4) Let u = -306 + 371. Factor 210*j**2 - 55 - 50*j**3 + 44 - 198*j + u. -2*(j - 3)*(5*j - 3)**2 Let v(i) be the third derivative of 0*i - 9/2*i**4 + 47*i**2 + 0 + 52/3*i**3 + 1/15*i**5. Factor v(f). 4*(f - 26)*(f - 1) Let g = 229992 - 459983/2. Find h such that g*h**2 - 1/2 - 1/4*h + 1/4*h**3 = 0. -2, -1, 1 Let o be (-1)/(2/(-8) - (-9)/52). Find h such that 4*h + o - 13 + h**3 + 2*h - 5*h**2 = 0. 0, 2, 3 Factor -5/4*k**2 - 1/4*k**3 + 1/2*k + 6. -(k - 2)*(k + 3)*(k + 4)/4 Let o = 9701 - 19401/2. Let z(y) be the first derivative of -o*y**2 + 2/3*y**3 - 1/4*y**4 + 0*y + 24. Suppose z(l) = 0. What is l? 0, 1 What is d in -3/5*d**4 + 3036/5*d + 138/5*d**3 - 1452/5 - 1719/5*d**2 = 0? 1, 22 Find b such that -192*b + 0 + 3/8*b**5 + 87*b**3 - 90*b**2 - 117/8*b**4 = 0. -1, 0, 4, 32 Let t(n) be the third derivative of -n**5/70 - 799*n**4/84 + 178*n**3/7 + 2830*n**2. Suppose t(c) = 0. Calculate c. -267, 2/3 Let t(j) = 17*j - 157. Let s be t(9). Let y be (6/s)/((165/(-22))/15). Factor -4/3*c - 8/3*c**y + 0 - 2/3*c**4 - 10/3*c**2. -2*c*(c + 1)**2*(c + 2)/3 Factor 14*m**2 - 2/7*m**3 - 1048/7*m + 136. -2*(m - 34)*(m - 14)*(m - 1)/7 Let o = 71599 - 71596. Determine s, given that 0 + 1/2*s**2 - 2/5*s - 1/10*s**o = 0. 0, 1, 4 Let p(d) be the third derivative of -d**6/540 - 7*d**5/135 - d**4/108 + 52*d**3/9 + d**2 + 874. Let p(s) = 0. What is s? -13, -4, 3 Let j = -23 - -29. Let h be ((j/9)/((-2)/3))/(-1). Factor -11*n**2 - 6 + 15*n - 4*n**2 + h + 5*n**3. 5*(n - 1)**3 Let d be (-4)/((-2 - (-24 + 17))/(-5*4/8)). Let 47/5*q**2 - 59/5*q**3 - 3/5*q**5 + 5*q**4 + 0 - d*q = 0. Calculate q. 0, 1/3, 1, 2, 5 Let u(x) = 54*x - 1994. Let c be u(37). Let v(i) be the first derivative of -11*i**2 + 10 + 32/3*i**3 + 4*i - 7/2*i**c. Factor v(j). -2*(j - 1)**2*(7*j - 2) Let q = -15 + 20. Suppose 2 = -f - 5*v - 11, -2*f = q*v + 11. Suppose 46*j**5 + f*j**3 - 49*j**5 + j**3 = 0. What is j? -1, 0, 1 Determine m so that 630 - 89*m**2 - 112 - 515*m**3 + 374*m**2 + 284*m + 1026*m - 10*m**4 + 2 = 0. -52, -1, -1/2, 2 Let p be ((-510)/714)/(5/(-2)). Let j(n) be the first derivative of -p*n**4 + 0*n - 2/35*n**5 - 2/7*n**2 + 7 - 10/21*n**3. Factor j(r). -2*r*(r + 1)**2*(r + 2)/7 Let v be 77/(1309/(-170)) - ((-148)/12 + -3). What is p in 10/3*p**5 + 0*p**2 - 8/3*p**3 + 0 - v*p**4 + 0*p = 0? -2/5, 0, 2 Let l(f) be the first derivative of f**6/210 - f**5/105 - 2*f**4/21 + 8*f**3/21 - 23*f**2 - 44. Let i(x) be the second derivative of l(x). Factor i(q). 4*(q - 2)*(q - 1)*(q + 2)/7 Factor 3*j**3 - 2*j**5 - 3*j**4 + 5*j**5 + 15*j**4 - 630*j**2 + 9*j**4 + 549*j**2 + 54*j. 3*j*(j - 1)**2*(j + 3)*(j + 6) Let u be (0 - 3) + (-10)/(-8 - 297/(-44)). Let q(l) be the second derivative of -1/40*l**u + 0*l**4 + 0 + l**3 - 4*l**2 + 34*l. Factor q(r). -(r - 2)**2*(r + 4)/2 Let i(q) be the third derivative of -q**6/60 + 7*q**5/10 - 7*q**4/6 - 152*q**3 - 86*q**2 + 4*q + 7. Solve i(p) = 0 for p. -4, 6, 19 Let g(n) be the second derivative of -8 + 38/9*n**3 - 5/3*n**5 + 4*n**2 + n + 0*n**4. Determine y, given that g(y) = 0. -3/5, -2/5, 1 Let x(h) be the first derivative of -h**6/33 - 128*h**5/55 - 668*h**4/11 - 6656*h**3/11 - 24336*h**2/11 - 2597. Let x(k) = 0. Calculate k. -26, -6, 0 Let -1/4*x**3 + 12 - 29/4*x - 9/2*x**2 = 0. What is x? -16, -3, 1 Let i be (1 - -1)/(3 + -2). Let s(o) = o - 4. Let u be s(7). Factor -w**3 - 1 - 7*w - w**i - 1 - w**2 + 4*w**u. (w - 2)*(w + 1)*(3*w + 1) Let s be (30/48 + 1184/(-256))*1*2/(-36). Solve -8/9*h + s*h**2 + 8/9 = 0 for h. 2 Let w(h) = -39*h**4 + 303*h**3 + 12*h**2 - 1158*h - 36. Let m(b) = -2*b**4 + b**3 - b - 2. Let s(l) = 18*m(l) - w(l). Determine o so that s(o) = 0. -2, 0, 2, 95 Let 8/11*o**2 + 2232/11*o - 2/11*o**3 + 25920/11 = 0. Calculate o. -18, 40 Let u(p) be the second derivative of 2304/5*p**2 + 10/3*p**4 + 1/25*p**5 + 0 - 266*p + 448/5*p**3. Factor u(n). 4*(n + 2)*(n + 24)**2/5 Suppose -3*j + 2 = -16. Find o such that -j - 35*o**2 + 10423*o**3 - 70*o - 10428*o**3 - 34 = 0. -4, -2, -1 Determine x so that 13910/3*x + 5/3*x**2 + 9674405/3 = 0. -1391 Let c(n) = 89 + 3 + 91 - 28 + 24 - 8*n. Let f be c(22). Factor 4/5*u**4 + 0 + 0*u**f - 4/5*u**2 + 0*u. 4*u**2*(u - 1)*(u + 1)/5 Let d(r) = -r**2 - r - 1. Let m(f) = 10*f**3 - 31*f - 15*f**3 + 3*f**3 + 94 + 5*f. Let v = 29 + -73. Let p(q) = v*d(q) - 2*m(q). Let p(k) = 0. What is k? -6, 1 Let m(h) = 31*h**2 - 88*h + 471. Let q(g) = 7*g**2 - 22*g + 118. Let b(c) = 8*m(c) - 36*q(c). Find k, given that b(k) = 0. 10, 12 Let k = 2061 - 2059. Let c(u) be the second derivative of 1/42*u**7 + 0*u**5 + 0 + 0*u**4 + 0*u**3 + 0*u**k - 1/15*u**6 + 11*u. Let c(g) = 0. Calculate g. 0, 2 Let r(g) = 14*g + 80. Let h be r(-5). Find k, given that -2*k**3 - h*k - 3*k**2 - 4*k**3 + 2*k**3 + 5*k**3 = 0. -2, 0, 5 What is w in -3/4*w**3 - 21/4*w + 0 + 6*w**2 = 0? 0, 1,
{ "pile_set_name": "DM Mathematics" }