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5880 + r**7/588 - 2*r**6/315 + r**5/105 + r**3/3 + 3*r**2. Let v(y) be the first derivative of x(y). Factor v(m). -2*m*(m - 2)**2*(m - 1)/7 Factor -9 + 21 - 16*h + 74*h + 18*h**2. 2*(h + 3)*(9*h + 2) Let h(g) be the first derivative of -2*g - 1/12*g**4 + 1/20*g**5 + 0*g**3 - 2 + 0*g**2. Let r(j) be the first derivative of h(j). Factor r(u). u**2*(u - 1) Find u such that -4 + 77*u + 11 + u**2 - 85*u = 0. 1, 7 Find z, given that -24/5 + 4*z - 4/5*z**2 = 0. 2, 3 Suppose -14 = -k - 5*d + 2*d, 2*k + 4*d - 20 = 0. Determine t so that -2*t**2 + 0*t**k - t**2 + 6*t**2 - 3 = 0. -1, 1 Let h = -2 + 6. Suppose -2*k - 4*a - 16 = -4*k, 0 = -3*k + 5*a + 22. Solve -2 + h*j**3 - j - 3*j + 3*j**4 - j**k = 0. -1, 1 Let j(w) be the second derivative of -w**4/4 - w**3/2 - w. Factor j(y). -3*y*(y + 1) Let u = 2 + -6. Let h be u/(-40) - 6/(-15). Factor 3/2*y**4 - 1/2*y**5 + 0 + h*y**2 - 3/2*y**3 + 0*y. -y**2*(y - 1)**3/2 Let o = -7 - -172. Let x be 6/o*10/2. Factor -10/11*t - 6/11*t**2 - 4/11 + 2/11*t**4 + x*t**3. 2*(t - 2)*(t + 1)**3/11 Suppose -9*w + 10 = -7*w. Let s(j) be the second derivative of 0*j**2 + 1/6*j**3 + 1/6*j**4 + 1/20*j**w + 2*j + 0. Determine x, given that s(x) = 0. -1, 0 Let c = 149/145 - -5/29. What is h in -4/5 + 56/5*h**3 - c*h + 54/5*h**2 = 0? -1, -1/4, 2/7 Let y(j) be the second derivative of -j**9/35280 - j**8/15680 + j**7/5880 + j**6/1680 - 2*j**4/3 - 8*j. Let l(i) be the third derivative of y(i). Factor l(h). -3*h*(h - 1)*(h + 1)**2/7 Find v, given that 25*v**3 + 6*v**4 + 20*v - 64*v**2 + 104*v**2 - v**4 = 0. -2, -1, 0 Let n(f) be the second derivative of f**7/42 - f**6/15 - f**5/10 + f**4/3 + f**3/6 - f**2 - f. Suppose n(k) = 0. What is k? -1, 1, 2 Let z(c) = -2*c**3 + 10*c**2 - 8*c + 2. Let i be z(4). Determine h, given that 27/2 - 1/2*h**3 - 27/2*h + 9/2*h**i = 0. 3 Let a be 426/(-355) - 176/(-130). Factor 0 + 2/13*k**5 + 6/13*k**4 + 0*k + a*k**2 + 6/13*k**3. 2*k**2*(k + 1)**3/13 Let g be (-4)/(-18) + 4344/(-108). Let y = g + 81/2. Find v such that 1/2*v**3 - 1 - y*v + v**2 = 0. -2, -1, 1 Suppose 2*a - 4 - 4 = -s, -s + 24 = -2*a. Let f = s - 11. Factor 3*k**4 + 9*k**5 + 5*k**f + k**4. 2*k**4*(7*k + 2) Suppose 3 = 3*q - 2*q. Let t(h) be the first derivative of -3/5*h**2 + 2 + 4/5*h + 2/15*h**q. Factor t(m). 2*(m - 2)*(m - 1)/5 Let g(n) = n - 1. Let a be g(5). Let y = 4 - 4. Factor 0*k + 3*k - a*k + y*k + k**2. k*(k - 1) Let f(u) = u + 12. Let d be f(-9). Factor c**2 - 3*c**2 - 3*c**5 + 9*c**4 + 5*c**2 - 14*c**3 + 5*c**d. -3*c**2*(c - 1)**3 Let p(l) be the first derivative of l**5/30 + 7*l**4/24 + 11*l**3/18 + 5*l**2/12 + 37. Factor p(f). f*(f + 1)**2*(f + 5)/6 Suppose -5*a = h - 4*h + 34, 4 = -a + 2*h. Let l = a + 8. Factor 1 + l*d - 3/4*d**2 + 1/4*d**3. (d - 2)**2*(d + 1)/4 Suppose -4*w - 2*s = -24, 4*w + 3*s = 32 - 4. Suppose 4*a**5 + 6*a**3 - a**5 - a + 9*a**4 - a**w = 0. Calculate a. -1, 0, 1/3 Let h(c) be the first derivative of -1/2*c + 5 - 3/8*c**2 - 1/12*c**3. Solve h(t) = 0 for t. -2, -1 Let 3/5 + 3/5*t**2 - 6/5*t = 0. What is t? 1 Let k(y) be the second derivative of 1/9*y**3 - 1/30*y**5 + 3*y + 1/45*y**6 + 0*y**2 - 1/18*y**4 + 0. Factor k(z). 2*z*(z - 1)**2*(z + 1)/3 Suppose 0*g - 2*g = -6. Suppose 3*s = 2*c + 19, 2*s + g*c - 14 = 5*c. Factor -8*v**s + 7*v**5 + v**3 - v**2 - 5*v**4 + 6*v**4. -v**2*(v - 1)**2*(v + 1) Let z(g) be the first derivative of -g**4/16 - g**3/12 + g**2/8 + g/4 + 7. What is a in z(a) = 0? -1, 1 Let j be (1 - (-2)/(-8))/(1/4). Let w(y) be the first derivative of -1/2*y**2 - 2/3*y + 2 - 1/9*y**j. Factor w(u). -(u + 1)*(u + 2)/3 Let p(q) be the first derivative of -q**6/900 - q**5/450 + q**4/180 + q**3/45 + 3*q**2 + 1. Let t(d) be the second derivative of p(d). Factor t(o). -2*(o - 1)*(o + 1)**2/15 Let h(f) be the third derivative of 0 + 0*f - 3/20*f**5 + 3/40*f**6 - 1/70*f**7 - 4*f**2 + 1/8*f**4 + 0*f**3. What is g in h(g) = 0? 0, 1 Let i(n) be the second derivative of 4*n**2 + 1/5*n**5 - n + 0 - 2*n**3 + 0*n**4. Let i(a) = 0. Calculate a. -2, 1 Let y(v) be the first derivative of -v**3/9 + 7*v**2/6 - 10*v/3 - 12. Factor y(t). -(t - 5)*(t - 2)/3 Let m(b) = -b + 2. Let r be m(3). Let a = r - -6. Factor -i + 3*i**2 - 5*i**2 + a - 4. -(i + 1)*(2*i - 1) Suppose 4*m - 33 = -3*w, 2*w - 18 = -w + m. Suppose -2*n = -w - 1. Factor 7/5*j**n + 4/5*j**5 + 2/5*j**3 + 0*j - 1/5*j**2 + 0. j**2*(j + 1)**2*(4*j - 1)/5 Let p(g) be the first derivative of 27*g**6/2 + 36*g**5/5 - 77*g**4/4 - 12*g**3 - 2*g**2 - 10. Factor p(d). d*(d - 1)*(d + 1)*(9*d + 2)**2 Let l(v) = v**2 - 3*v + 1. Let h be l(4). Find a, given that 4*a**3 + 2*a**5 - 6*a**h + 8*a**4 - 8*a**2 - 4*a**3 + 4*a = 0. -1, 0, 1 Let p be 9 + 1/2*-8. Let k(o) be the first derivative of -1/5*o**2 - 1 - 3/10*o**4 + 0*o - 2/25*o**p - 2/5*o**3. Factor k(c). -2*c*(c + 1)**3/5 Let b(w) be the first derivative of -5*w**6/6 - w**5 - w**4/3 + 6*w + 6. Let u(o) be the first derivative of b(o). Solve u(h) = 0 for h. -2/5, 0 Let i(s) be the third derivative of -s**5/90 + s**4/36 - 3*s**2. Let i(t) = 0. What is t? 0, 1 Let r = 2 - 0. Suppose -r*i + 1 = -3. Find n such that 2/5 - 12/5*n - 18/5*n**4 + 16/5*n**i + 4/5*n**3 + 8/5*n**5 = 0. -1, 1/4, 1 Suppose -4 + 10 = 2*v. Factor 12*q**4 + v*q**2 + q**3 - 18*q**3 + 2*q**3 - 12*q**2 - 3 + 15*q. 3*(q - 1)**2*(q + 1)*(4*q - 1) Let m be (3 - 4)/(2/(-6)). Suppose 3*t - 2*t = m. Determine d so that 4 - 16*d**2 + 26*d**t - 11*d**2 - 10*d**4 - 2*d + 9*d**2 = 0. -2/5, 1 Let k be ((-7)/(105/(-10)))/(6/3). Factor -h**4 + k*h**5 + 0 - 2/3*h + h**2 + 1/3*h**3. h*(h - 2)*(h - 1)**2*(h + 1)/3 Let m(o) be the first derivative of -2*o**3/3 + 2*o**2 - 6. Suppose m(r) = 0. Calculate r. 0, 2 Let y(n) = n**2 + 8*n + 27. Let m(l) = -6*l**2 - 47*l - 163. Let s(t) = -6*m(t) - 39*y(t). Let s(c) = 0. Calculate c. -5 Suppose 0 = -5*m - y + 15, 4*m = -4*y + 8*y + 12. Let 0*r**2 + r + 2/3 - 1/3*r**m = 0. What is r? -1, 2 Let v be 21/6 + 1/2. Suppose 0 = -g - 2*c, -c - 1 + 8 = v*g. Suppose 2*y**2 - 2*y + 0 + g*y**3 - 2*y**4 + 0 = 0. Calculate y. -1, 0, 1 Let b = 4 - 3. Let t = b + -1. Determine x, given that -3*x**2 - x**2 + 2*x**4 + t*x**2 + 8*x**4 - 6*x**3 = 0. -2/5, 0, 1 Let v(z) = 29*z**2 + 569*z + 3902. Let w(p) = -7*p**2 - 142*p - 976. Let b(m) = 2*v(m) + 9*w(m). What is g in b(g) = 0? -14 Suppose 3*j + 25 + 2 = 0. Let y = -9 - j. Find p, given that y - 1/3*p**3 - 2/3*p**2 - 1/3*p = 0. -1, 0 Let m(q) be the second derivative of 1/4*q**4 + 0*q**2 + 2*q + 3/20*q**5 + 0 - 1/2*q**3 - 1/10*q**6. Find o, given that m(o) = 0. -1, 0, 1 Let o(v) be the third derivative of 0 + 0*v + 3*v**2 + 0*v**5 + 0*v**3 + 0*v**6 - 1/168*v**8 + 0*v**4 - 1/105*v**7. Solve o(n) = 0 for n. -1, 0 Let c(l) be the first derivative of -3*l**5/10 + 15*l**4/8 - 2*l**3 + 52. Factor c(q). -3*q**2*(q - 4)*(q - 1)/2 Let a(h) be the third derivative of -h**7/1470 + h**6/840 + h**5/84 + h**4/56 - 2*h**2 + 32. Solve a(n) = 0 for n. -1, 0, 3 Let -4/7 + 6/7*f - 2/7*f**2 = 0. What is f? 1, 2 Let b(d) = d**2. Let o(i) = 5*i**3 - 17*i**2 + 9*i - 2. Suppose a + 60 = -3*a. Let c(w) = a*b(w) - 3*o(w). Factor c(q). -3*(q - 1)**2*(5*q - 2) Let h(p) be the second derivative of p**4/60 + 2*p**3/15 + 3*p**2/10 - 27*p. Find b such that h(b) = 0. -3, -1 Let b(p) be the first derivative of -p**6/600 + p**5/50 - p**4/10 + 2*p**3/3 + 6. Let s(z) be the third derivative of b(z). Factor s(j). -3*(j - 2)**2/5 Let q = 274/3 - 95. Let m = q + 4. Solve 0*z - 1/3*z**2 - m*z**3 + 0 = 0 for z. -1, 0 Factor -2/7*z**2 + 4/7*z + 0. -2*z*(z - 2)/7 Let z(s) be the third derivative of s**8/21 - 8*s**7/35 + 47*s**6/120 - 13*s**5/60 - s**4/8 + s**3/6 - 12*s**2. Factor z(x). (x - 1)**3*(4*x - 1)*(4*x + 1) Let q be 28/20 - 9/(-15). Let t(z) be the third derivative of 2*z**q + 0*z + 1/30*z**6 - 1/12*z**5 + 0*z**3 + 0 + 1/24*z**4. Factor t(y). y*(y - 1)*(4*y - 1) Suppose 70 = -2*y + 20. Let l = 51/2 + y. Factor 0*q + 0 + 1/2*q**2 + l*q**3. q**2*(q + 1)/2 Let y(l) = l**2 + l - 1. Let i(s) = s**2 + 2*s - 2. Let d be i(-3). Let r(g) = -3*g**2 + 3*g + 1. Let z(a) = d*r(a) + y(a). Solve z(x) = 0. 0, 2 Let p(a) be the second derivative of 3*a**5/20 - a**4/4 - 2*a**3 + 6*a**2 - 24*a. Let p(z) = 0. What is z? -2, 1, 2 Let g = 2551/9 - 283. Let j(o) be the second derivative of 1/54*o**4 + 2*o + g*o**2 + 0 - 4/27*o**3. Factor j(x). 2*(x -
{ "pile_set_name": "DM Mathematics" }
*(-3/2)/a)*a)/a**(-7)) assuming a is positive. a**(-23/2) Simplify d/d**(-1/16)*((((d/d**(-2/11)*d)/d)/d)/d)/d*((d*d*d**(3/4))/d)**(5/6) assuming d is positive. d**(371/528) Simplify g**24/(g/(g**(1/8)*g)) assuming g is positive. g**(193/8) Simplify (z**(-4))**26 assuming z is positive. z**(-104) Simplify (o**(-6)/o*o)**(-2/17) assuming o is positive. o**(12/17) Simplify q**(1/4)/(q*q*q**(1/2))*(q/((q**2*q*q)/q))/(q**(2/11)*q) assuming q is positive. q**(-239/44) Simplify s**(-2)/(((s**(2/29)*s)/s)/s) assuming s is positive. s**(-31/29) Simplify (w*((w**(4/3)*w*w)/w*w)/w*w/(w*(w**(-2)/w*w)/w*w))**(-3/5) assuming w is positive. w**(-16/5) Simplify d*d**(-3/7)*d**6*(((d**(-2/7)/d)/d)/d*d)/((d**(-6)*d)/d) assuming d is positive. d**(72/7) Simplify (k**(-3/16))**(-37) assuming k is positive. k**(111/16) Simplify (w*w/(((w*w**10)/w)/w))**36 assuming w is positive. w**(-252) Simplify (y**(-1))**7*(y*y**4*y*y)/((y*y/(y**(-1/2)*y)*y*y)/y) assuming y is positive. y**(-5/2) Simplify h**(-1/2)/h*h**7 assuming h is positive. h**(11/2) Simplify (f**2)**(-34) assuming f is positive. f**(-68) Simplify ((c*c*c*c**2*c*c)/c)**(-3/8)/((c*c**(-1/3))/(c*c**9*c*c*c)) assuming c is positive. c**(121/12) Simplify (o*o/o**6)**(-5) assuming o is positive. o**20 Simplify ((p*p**8/p)/((p**(-5/3)*p)/p*p*p))**(-1) assuming p is positive. p**(-23/3) Simplify (g**(-5)*g**(-5/2))/((g/((g*g**1)/g))/g*g**(2/7)) assuming g is positive. g**(-95/14) Simplify (h/(((h*h**(-1/3))/h)/h))**(-17)/(h**(-1)*h*h)**(20/11) assuming h is positive. h**(-1369/33) Simplify q**(-1)*q**(2/7)*(q**(2/13)*q)/(q**5*q) assuming q is positive. q**(-506/91) Simplify ((h/(h**(-3)/h))/(h**(-2)/h*h))**(3/26) assuming h is positive. h**(21/26) Simplify ((y*y*y**1)/y*y*y**(-5))**28 assuming y is positive. y**(-56) Simplify (r/(r*r**2/r))/(r**(20/3)*r) assuming r is positive. r**(-26/3) Simplify (g/g**(-6/13))/((g/(g/(g**(-1/4)*g)*g)*g)/g) assuming g is positive. g**(89/52) Simplify s**6*s/(s**(-2/5)/s)*s*s*s**(-2)*s**(-1/13)/s assuming s is positive. s**(476/65) Simplify d**6*(d/(d/(d/((d*d**(-2/7)/d)/d))))/d*d**(-3/2)*(d*(d**(2/13)*d)/d)/d assuming d is positive. d**(1081/182) Simplify (r**(-14/3)*r)/(r/(r/(r*r*r/((r**16/r)/r*r)*r))) assuming r is positive. r**(22/3) Simplify v*v/v**(2/5)*v**10/v assuming v is positive. v**(53/5) Simplify ((z/z**(-1))/z)**5*(z**(-1))**(2/27) assuming z is positive. z**(133/27) Simplify (z*((z*(((z*z/(z**5/z))/z*z)/z)/z*z*z)/z)/z*z)/z**(2/37) assuming z is positive. z**(-39/37) Simplify (d*(d**(-5)/d)/d*d)/(d/(d*d*(d*d**2)/d))*(d**(1/3)*d)/d*d*d**(-6)*d*d assuming d is positive. d**(-14/3) Simplify (p**(1/3)*p*p*((p/p**17)/p)/p*p)**15 assuming p is positive. p**(-220) Simplify ((m/(m/m**(-2/5)))/(m*m**(-3)*m))/(m**(2/7))**(-2/165) assuming m is positive. m**(697/1155) Simplify s**(2/3)*s**(-1/2)*(s**2)**(-6/29) assuming s is positive. s**(-43/174) Simplify ((c*c**(-7))/c)/(c/((c*c**1)/c))*(c/(c/(c*(c/c**(-2))/c)))/(c*c*c*c**(-2/5)*c*c) assuming c is positive. c**(-43/5) Simplify b*b*b**(-8)*b**(-15)/b*b assuming b is positive. b**(-21) Simplify ((r/(r*r*r**(-1)*r))/r**(-2/9))**38 assuming r is positive. r**(-266/9) Simplify s*s*s*s*s**(-2/5)*s*s**(-1/12)*((s/((s*s/s**1)/s))/s)/(s*s**(-4/3)*s) assuming s is positive. s**(77/20) Simplify (m/(m*m/m**(2/7))*m*m/(m**(-3/5)/m))/(m*m*m**2/m*m)**36 assuming m is positive. m**(-4939/35) Simplify ((u*u*u*u*u/u**0)/u)/(u**(-19)*u) assuming u is positive. u**22 Simplify ((q/q**(-1/4))/q**(4/3))**(-8/7) assuming q is positive. q**(2/21) Simplify ((o**(2/7)*o)**(-27))**(6/17) assuming o is positive. o**(-1458/119) Simplify (o**(-1/2))**(12/13) assuming o is positive. o**(-6/13) Simplify ((m**(3/4)/m)/m)/((m*m*m**16*m)/m*m*m) assuming m is positive. m**(-85/4) Simplify (x*x**29)/x*x*x/(x*(x*x**(-48)*x)/x*x) assuming x is positive. x**76 Simplify (q/(q/((q*(q*q*q/(q*q/q**4*q*q))/q)/q))*q)/(q*(q*q/(q/q**(-1/3)))/q)*q**(2/9)*q*q*q*q**(2/17)*q*q assuming q is positive. q**(1174/153) Simplify n**6*n**2/n*(n/(n*(n**(2/11)/n)/n*n*n*n))/n**(-2) assuming n is positive. n**(86/11) Simplify (((g/(g/g**(-7/6)))/g)/g*g*g**(-4/7))**(-5/7) assuming g is positive. g**(575/294) Simplify u**(1/3)/u**(-3)*u**(5/2)*u*u/(u/((u/((u*u**6/u)/u))/u*u)) assuming u is positive. u**(17/6) Simplify (d**(-9))**(1/14) assuming d is positive. d**(-9/14) Simplify ((r*(r*r*r**(-2/5))/r)/(r*r**8))/(r/r**1)**(-26) assuming r is positive. r**(-37/5) Simplify (p**(-3/5)*p/(p/p**(2/3)))**(-1/14) assuming p is positive. p**(-1/210) Simplify z/(z*z**(-20)*z)*z**(-1/3)*z assuming z is positive. z**(59/3) Simplify ((u**(-2/13)/u)/(u*u/((u*u**(-12))/u)))**(5/3) assuming u is positive. u**(-985/39) Simplify (i**5*i**(2/9))/(i**(-6)/i*i**(2/7)) assuming i is positive. i**(752/63) Simplify z**(-19)/(z*z**13) assuming z is positive. z**(-33) Simplify (((l*(l*l**(-7/5)/l)/l)/l)/l*l*l/(l*((l**(-11)*l)/l*l)/l)*l)**30 assuming l is positive. l**288 Simplify ((a/((a*a**1)/a))/(a/a**0))/(a**0*a**(-1/3)*a) assuming a is positive. a**(-5/3) Simplify s/s**(2/55)*s*(s/(s/s**(-15/2)))/s*s assuming s is positive. s**(-609/110) Simplify j**4/j*j*j*j**(-6)*(j*j**(-2/5)*j)**(3/5) assuming j is positive. j**(-1/25) Simplify ((g/(g*(g*g**(1/11))/g*g))/g*g)/g*g/(g*(g/g**0)/g) assuming g is positive. g**(-23/11) Simplify (b/b**0)**(-46/7)*b**1/(b*b**(-7)) assuming b is positive. b**(3/7) Simplify r*r*r*r**(-6)*r*r**(-3)/r*r*r*r*(r/(r**(-7)/r))/(r/(r*r/r**(1/4))) assuming r is positive. r**(27/4) Simplify (v/v**(1/11)*v*v**0)/((v*v*v**(-3))/v**4) assuming v is positive. v**(76/11) Simplify ((h/(h*(h*h*(h/(h/((((h*h*h**(2/33))/h)/h)/h)))/h)/h))/h*h*h*h**(-8/5))/(((((h/(h**5/h))/h)/h)/h*h)/h*h**(1/2)/h) assuming h is positive. h**(2257/330) Simplify ((b/(b**(1/8)*b*b))/b*b)/((b/((b*b**(-4/11))/b))/b) assuming b is positive. b**(-131/88) Simplify ((a**(-1)/a)/(a*a/(a**2*a)))/(a/(a**(-3/7)*a)*a*a*a*a**(-3/7)*a) assuming a is positive. a**(-5) Simplify (c**(-6/7)/c*c*c*c**8)/((c*c**10)/c**(1/4)) assuming c is positive. c**(-73/28) Simplify (n**(-2)/n)**(-23) assuming n is positive. n**69 Simplify b/b**(-5/2)*b*b**(8/11) assuming b is positive. b**(115/22) Simplify (a**(-4)/a)/((a/(a*a**8))/a) assuming a is positive. a**4 Simplify h*h*h**27*h/h**10 assuming h is positive. h**20 Simplify (((k**(3/10)/k)/k)/(k/k**0))**(-39) assuming k is positive. k**(1053/10) Simplify h**(-1/11)/(h/(h/(h/(h/((h**15*h)/h))))) assuming h is positive. h**(-166/11) Simplify (d**(1/3))**(14/15)*(d**(1/3))**(-12) assuming d is positive. d**(-166/45) Simplify (d**9*d**(-1/4)/d)**(-10) assuming d is positive. d**(-155/2) Simplify (t*t**8*t)**(34/7) assuming t is positive. t**(340/7) Simplify (i**(-1/4))**(1/14)*((i**(-1)/i)/i)/i**9 assuming i is positive. i**(-673/56) Simplify n**(-7/9)*n*n/n**(-26) assuming n is positive. n**(245/9) Simplify (m**0)**25/(((m/m**5)/m)/(m*(m**6/m*m)/m)) assuming m is positive. m**11 Simplify q/(q/(q*q*q*q*q*(q/(q*q*(q*(q*q/(q*q/q**(1/4)*q))/q)/q*q))/q))*q**6*(q**6/q)/(q/(q**2/q)) assuming q is positive. q**(59/4) Simplify (w*w**(-9))**(-40) assuming w is positive. w**320 Simplify (r/(r/r**(-18)*r)*r**(-7))**47 assuming r is positive. r**(-1222) Simplify ((z**3)**17)**(-34) assuming z is positive. z**(-1734) Simplify w**(11/2)/(w*w/w**(-6/7)*w) assuming w is positive. w**(23/14) Simplify (u/u**(1/4))**(7/4)*u/u**(-6)*u/(u*u*u*u**(1/4)/u) assuming u is positive. u**(113/16) Simplify ((g*g/(g/g**5))/g)/((g/(g*g*g/g**(2/3)*g*g))/g)*(g**1)**(-3) assuming g is positive. g**(19/3) Simplify (n**10/(n*n**(3/7)))**(-4/5) assuming n is positive. n**(-48/7) Simplify (d**(-2/3)*d/(d*d**(-4)/d))**43 assuming d is positive. d**(559/3) Simplify (m**(8/9)/m**(1/2))**(4/23) assuming m is positive. m**(14/207) Simplify (d**(-36))**(-2/33) assuming d is positive. d**(24/11) Simplify (p**4)**(-2/43) assuming p is positive. p**(-8/43) Simplify (w**(1/8)*w/(w*w*w*w/((w**(-3/5)/w)/w*w*w)*w*w))/(w/w**(-2)*w*w/(w/w**(3/7))) assuming w is positive. w**(-2773/280) Simplify (k**(-1))**(-37)/(k**(-1/2)*k/(k*k**(-2)/k)) assuming k is positive. k**(69/2) Simplify (u*u**(4/9)*u*u)/(u*((((u/(u/u**1))/u)/u)/u*u)/u)*(u**0)**27 assuming u is positive. u**(40/9) Simplify ((l/((l/l**(-30/11))/l*l*l))/l)/(l/(l**(7/6)/l)) assuming l is posit
{ "pile_set_name": "DM Mathematics" }
e greatest common factor of 39 and 126219587. 13 Calculate the highest common divisor of 19253901 and 214. 107 Calculate the greatest common divisor of 2670186 and 6. 6 Calculate the highest common factor of 36 and 9668892. 12 What is the highest common divisor of 3837 and 87484879? 1279 Calculate the greatest common factor of 69389885 and 4155. 1385 Calculate the highest common factor of 143 and 126137. 11 What is the highest common divisor of 72513 and 3024? 63 Calculate the greatest common factor of 2712444 and 547629. 1977 What is the highest common divisor of 3 and 14152179? 3 Calculate the highest common divisor of 4659337 and 50917. 863 What is the greatest common factor of 205 and 12023496? 41 Calculate the highest common divisor of 27 and 2562045. 3 What is the highest common divisor of 3150985 and 5? 5 Calculate the greatest common divisor of 9 and 9201267. 9 What is the greatest common divisor of 1144 and 1457402232? 1144 Calculate the greatest common factor of 948921096 and 6936. 6936 Calculate the greatest common factor of 22757117 and 57. 19 What is the highest common divisor of 1530 and 686947050? 1530 What is the highest common divisor of 4060127 and 3133? 241 Calculate the greatest common divisor of 23688 and 35622. 18 What is the highest common factor of 11477211 and 427? 61 What is the highest common factor of 594 and 19813574? 22 What is the highest common factor of 104 and 3270293? 13 Calculate the highest common factor of 60342 and 79655. 89 What is the greatest common factor of 4512 and 3904720896? 4512 Calculate the highest common divisor of 415535 and 40057. 41 Calculate the highest common divisor of 8950 and 1026950. 50 Calculate the greatest common factor of 250 and 29180020. 10 What is the highest common factor of 1352 and 125015384? 1352 Calculate the greatest common factor of 115 and 110342431. 23 Calculate the greatest common divisor of 552 and 14253146. 46 What is the greatest common factor of 54170339 and 4892? 1223 What is the highest common factor of 4195856 and 1168? 16 Calculate the highest common divisor of 23615580 and 60. 60 What is the greatest common factor of 32587142 and 938? 14 What is the highest common divisor of 108 and 64077264? 108 What is the highest common factor of 11319 and 106689? 33 What is the greatest common divisor of 653725 and 26544? 79 What is the greatest common factor of 9200 and 357052? 92 What is the highest common divisor of 44941392 and 4860? 972 Calculate the greatest common factor of 58750230 and 24486. 462 Calculate the highest common divisor of 534128 and 2432. 304 Calculate the greatest common factor of 10689 and 63413256. 1527 What is the highest common divisor of 1347630 and 899? 29 Calculate the greatest common divisor of 274396 and 9486572. 724 What is the greatest common factor of 89067623 and 2879? 2879 Calculate the greatest common divisor of 78 and 271564592. 26 Calculate the highest common factor of 1318 and 456496549. 659 What is the highest common divisor of 60652 and 1176289? 257 What is the highest common factor of 2610377 and 783? 29 Calculate the highest common divisor of 4668 and 184284. 12 What is the highest common divisor of 299356 and 536? 268 What is the highest common factor of 659723768 and 88? 88 Calculate the highest common divisor of 2664406 and 228194. 3214 Calculate the highest common divisor of 35677369 and 91. 91 Calculate the highest common factor of 2017 and 1033678211. 2017 Calculate the greatest common divisor of 10515323 and 2366. 91 What is the highest common divisor of 378 and 4117428? 126 What is the greatest common factor of 38695 and 46770265? 545 Calculate the highest common factor of 1123788908 and 176. 44 What is the highest common factor of 260 and 112046636? 52 What is the highest common factor of 55 and 6203635? 5 Calculate the highest common divisor of 4577 and 1302614200. 4577 What is the highest common factor of 21357049 and 238? 119 What is the greatest common factor of 24 and 11854496? 8 Calculate the highest common divisor of 5467815 and 36. 9 Calculate the highest common factor of 1221736 and 35224. 8 Calculate the highest common divisor of 45764 and 751227501. 11441 What is the greatest common divisor of 41470 and 686400? 1430 Calculate the highest common factor of 130 and 120320. 10 Calculate the greatest common factor of 90 and 25114365. 45 Calculate the highest common factor of 73 and 259229497. 73 What is the highest common factor of 934185 and 18228? 4557 What is the highest common factor of 4240 and 6247216? 848 What is the highest common factor of 54787312 and 16? 16 Calculate the greatest common factor of 36 and 55238886. 18 What is the highest common divisor of 2126046 and 4? 2 What is the greatest common factor of 835486555 and 9868? 2467 Calculate the highest common divisor of 129595 and 270. 5 Calculate the greatest common divisor of 432588 and 95108. 3068 What is the greatest common divisor of 447555051 and 3268? 817 What is the highest common divisor of 511 and 630047013? 73 Calculate the highest common factor of 286579 and 95407. 179 Calculate the highest common factor of 32474 and 2740306. 2498 What is the greatest common divisor of 334420 and 47610? 230 Calculate the greatest common divisor of 307838 and 6764. 38 What is the greatest common divisor of 28385 and 271990747? 5677 Calculate the greatest common factor of 19350 and 1438650. 450 What is the highest common divisor of 1776 and 588633? 111 Calculate the greatest common divisor of 1252356 and 34068. 204 What is the highest common divisor of 354 and 2738249? 59 What is the greatest common factor of 351 and 136573281? 117 Calculate the greatest common factor of 2202865 and 91. 7 Calculate the greatest common factor of 482653 and 45218. 983 Calculate the greatest common divisor of 325 and 5285189. 13 Calculate the highest common divisor of 1688 and 825258136. 1688 Calculate the highest common divisor of 1069941202 and 26202. 8734 What is the highest common factor of 92 and 2665724? 4 Calculate the greatest common factor of 15048 and 8780736. 456 Calculate the highest common factor of 106256 and 103472. 464 What is the greatest common factor of 62771905 and 595? 595 What is the highest common factor of 18392 and 4060276? 484 What is the greatest common divisor of 2624465 and 10? 5 Calculate the highest common factor of 3485 and 17337178. 697 What is the greatest common factor of 12036 and 22764088? 4012 What is the greatest common factor of 39 and 395525507? 13 Calculate the greatest common divisor of 27900 and 3115035. 1395 Calculate the highest common divisor of 901108 and 14911. 403 What is the highest common divisor of 12716360 and 1920? 40 Calculate the greatest common divisor of 511 and 20390798. 73 What is the highest common factor of 39917 and 6415264? 223 What is the highest common factor of 52320 and 1236768? 96 What is the greatest common factor of 3744796 and 2420? 44 What is the greatest common divisor of 81171208 and 49571? 2609 What is the greatest common factor of 171955 and 64447? 289 Calculate the highest common divisor of 126 and 2137302. 18 Calculate the highest common factor of 8 and 12920676. 4 Calculate the highest common factor of 450744 and 164472. 168 What is the greatest common divisor of 1632 and 880260816? 816 Calculate the greatest common factor of 219323 and 11973. 13 Calculate the greatest common divisor of 104090835 and 2280. 285 Calculate the highest common factor of 407916921 and 187. 17 What is the greatest common factor of 23189800 and 560? 40 Calculate the highest common factor of 6581584 and 88. 8 Calculate the highest common factor of 3502403 and 304. 19 Calculate the highest common factor of 1247 and 14022486. 29 What is the highest common factor of 4108402994 and 802? 802 What is the greatest common factor of 231192 and 3842712? 1368 Calculate the highest common factor of 22 and 15752110. 22 Calculate the highest common divisor of 4948 and 133624. 4 Calculate the greatest common factor of 32067 and 502799871. 10689 Calculate the greatest common factor of 584652 and 96. 12 What is the highest common factor of 1661050 and 3824? 478 Calculate the highest common divisor of 3204583 and 4314. 719 Calculate the
{ "pile_set_name": "DM Mathematics" }
r + 3*r) in the form n*r + x*r**2 + q and give n. 544 Rearrange (-2*s**2 + 202*s + 5894 - 5894)*(5 - 4 - 3) to c*s**2 + p + w*s and give p. 0 Express -84 - w**2 + 302 + 68 + 271 - 80 as f*w**2 + b*w + i and give f. -1 Rearrange (-c + c - c)*(-4*c + 0*c + c) + (2*c - 4 + 4)*(-3 + 3 - c) to the form b + g*c**2 + j*c and give g. 1 Express (-15 + 131*t + 15)*(-2*t + t + 2*t - 3) as c + f*t + b*t**2 and give f. -393 Express -18*n + 15 + 10*n + 2*n**3 - 3*n**3 + 6*n**3 - 2*n**3 in the form w*n + j*n**2 + y + x*n**3 and give w. -8 Rearrange (m - 6*m + 0*m)*(4 - 1 + 3)*(-4 + 1 + 1 - 2 + 2 + 3 + (4 - 1 - 2)*(0 - 1 + 2) - 1 - 1 + 0 - 3 + 1 + 3) to g*m + o and give g. -30 Express 6538*i - 6536*i - 24 - 31 + (-2*i - 4*i + 4*i)*(-6 + 4 + 0) as v + l*i and give l. 6 Express 7*p - 103*p + 48*p - 101*p - 2 - 30*p as i*p + f and give i. -179 Rearrange -1282*m**2 - 76*m - 4 + 1282*m**2 + 3*m**3 + 4 to x*m**3 + p*m**2 + z + k*m and give k. -76 Rearrange -4 + 13 - 9*b - 9 to v*b + y and give v. -9 Rearrange -75 - 4*n - 14 + 90 + 0*n + 36*n**2 to k*n + u*n**2 + a and give k. -4 Express 1442*i**4 - 1 - 5*i**3 - 1443*i**4 + i - 14*i**3 in the form w*i**4 + j*i**3 + a*i**2 + s + n*i and give s. -1 Rearrange 3*w**3 - 3*w**2 - 8*w**2 + 13*w**2 + 2 + w + 3*w to x*w + a*w**3 + g + s*w**2 and give s. 2 Rearrange -29*o + 5*o - 34*o - 25*o to the form f + p*o and give p. -83 Express (4 - 3 + 1)*(498*x + 1616*x + 779*x) in the form n + j*x and give j. 5786 Rearrange -1 + 187*w**2 - 2*w**4 - 380*w**2 + 3*w**3 - w**3 + 187*w**2 + w**4 + 7*w to the form g*w**3 + d*w**2 + z*w + b*w**4 + c and give d. -6 Express (-m + 12*m + 8*m - 2*m + 3*m - 2*m + (3 - 2 + 0)*(2*m + 0*m - 4*m) + 0*m - 2*m + m)*(-6 + 5 + 5) as g*m + a and give g. 60 Rearrange 931*o - 255*o - 205*o + 0*o + o - 6*o + (-3*o - 4*o + 5*o)*(4 - 5 + 0) + 3 + o - 3 to m*o + d and give m. 469 Rearrange 30*o + 0*o - 7*o to m*o + a and give a. 0 Express -91*z**2 + 74*z**2 - 1 - 3*z**3 - 7*z**4 + 6*z**4 in the form g*z + a*z**4 + d + l*z**2 + x*z**3 and give l. -17 Rearrange (-39*c**3 + 16*c**2 - 16*c**2)*((-2 + 2 + 2*c)*(-4 + 1 + 2) - 2*c + c + 2*c) to t*c + b*c**2 + d*c**3 + k*c**4 + j and give k. 39 Express k + 4*k - 4*k + (3*k - 4*k - k)*(16 + 2 + 2) + 5*k + 4*k - 4*k in the form i*k + v and give v. 0 Rearrange 25*r**3 + 3*r - 22*r**3 - 4*r**3 + 10*r + 2*r**2 to w*r + y + h*r**2 + x*r**3 and give w. 13 Express (-2 + 4 - 1)*(f - 3*f - 7*f) + (22 + 8 + 4)*(f - 3*f + 4*f) in the form t*f + l and give t. 59 Rearrange 280*n - n**3 - 145*n + 206*n to x*n**2 + k*n + o*n**3 + a and give k. 341 Express -52 + 84*s - 50 + 102 - 1195*s as g*s + a and give g. -1111 Rearrange (137 + 108 - 50)*(0*o - o - o) to n + f*o and give f. -390 Rearrange (-y - 3*y + 5*y + (0 + 0 + 2)*(-1 + 2*y + 1) + 3*y - y + 4*y)*(2*y**2 - 2*y + 2*y) to the form f + h*y**2 + u*y**3 + v*y and give u. 22 Express 22*u + u - 13*u - 4 + u + 20 in the form p*u + w and give w. 16 Rearrange (0*k + 4*k - 2*k + (k + k + 0*k)*(3 + 2 - 7))*(46 - 5 + 14)*(-1 + 1 + 1) to the form y*k + d and give y. -110 Express (0 - 1 + 0)*(97*s - 181*s + 558*s) as l + f*s and give f. -474 Express -26198*o**3 + o**2 + 13119*o**3 - 2 + 13105*o**3 in the form k + t*o**3 + n*o + m*o**2 and give t. 26 Express 72 - 72 - 40*c - 10*c + 0*c + 2*c + (2 - 1 - 3)*(-2*c + 0*c + c) in the form b*c + u and give b. -46 Express 1040 - 526 + 1224*q - 514 in the form l + m*q and give m. 1224 Rearrange -v + 1 - 148*v**4 - v**3 + 24*v**4 - v + 2*v to the form j*v**2 + i*v**4 + n*v**3 + x*v + p and give n. -1 Express 2*c**3 + 6 - 4 - 3 + (525 + 821 - 887)*(-c**3 + c**3 - c**3) as z*c**2 + g*c + b*c**3 + a and give a. -1 Rearrange g**2 - g**4 - g**2 + (2 - 3 - 2*g + 4*g)*(-724*g + 724*g + 10*g**3) - 6*g**2 + 6*g**2 - 6*g**4 to d*g**2 + n + h*g**4 + w*g + t*g**3 and give t. -10 Rearrange 3*p**2 - 2*p**3 - p**2 - 2*p**4 - 92 + 94 - p**3 to n*p**2 + b*p**3 + y + u*p**4 + c*p and give b. -3 Express (-8*a + 0 - 1 - 1)*(6*a - 3*a + 6*a) in the form z + b*a**2 + h*a and give h. -18 Rearrange -1 + 2 + 167*v**2 - 165*v**2 - v - 2*v**3 to c*v**2 + p*v + t*v**3 + d and give p. -1 Rearrange 45*q + 3*q + 20*q + 3 + 25*q to d*q + g and give d. 93 Express 164*g**2 + 192*g**2 + 4*g**3 - 358*g**2 + 2*g**4 - 2*g as t*g**2 + u*g**4 + b*g**3 + p*g + d and give b. 4 Rearrange 4 + 447*t - 11 + 7 to n + y*t and give y. 447 Express -3004*h + h**3 - 6*h**4 + 3*h**4 + 2983*h as o + p*h**2 + y*h + w*h**3 + k*h**4 and give k. -3 Express (-60 + 19 + 22)*(-9 + q + 9) in the form k + j*q and give j. -19 Rearrange -17*q**3 - q**4 + 6*q - 15*q + 187*q**2 - 187*q**2 - q**4 to o*q**2 + h*q**3 + v + r*q + u*q**4 and give h. -17 Rearrange (-2*d - 3 + 3)*(-1 + 1 - 1)*(-6 - 1 + 3)*(7*d - 9*d - 7*d) to m*d + z*d**2 + h and give z. 72 Rearrange 48 - 77 + 2*c**2 - 2*c**3 + c - 3*c**2 + 44 + 2*c to o*c**2 + q + x*c + z*c**3 and give q. 15 Rearrange -6770*m**3 + 3973*m**3 + 4128*m**3 + (2*m - 1 + 1)*(-2*m**2 + m - m) to i*m + t + y*m**3 + h*m**2 and give t. 0 Rearrange -3*m**3 + 12*m**3 - 2*m**3 - 5*m**3 - 156*m to j + o*m**3 + w*m + f*m**2 and give o. 2 Rearrange 2*b**3 - 22*b**3 + 2 + 21*b**3 + 19*b to the form v*b**3 + d*b + c + p*b**2 and give v. 1 Express 13*l + 119*l + 134*l + 220*l - 39*l in the form a + n*l and give n. 447 Rearrange (81 - 2*h + 3*h**2 + 40 + 104)*(-2*h + 2 - 2) to the form a*h + y*h**2 + q*h**3 + p and give a. -450 Express 7036*q**2 + 3*q - 7036*q**2 - 2*q + 788*q**3 as w*q**2 + o*q**3 + h + g*q and give o. 788 Express -10 - 3 + 2*g**2 + 14 + 3*g**4 + 4*g**3 - 3 in the form k*g + u*g**4 + w + b*g**3 + i*g**2 and give w. -2 Rearrange 450 + 2*r + 18*r**2 - 504 - 7*r**2 - 2*r to the form y + x*r + b*r**2 and give y. -54 Express (-9*o - 12*o + 0*o)*(1 - 16*o - 1) as l*o**2 + k + t*o and give l. 336 Express (-7*j + 2*j + 2*j)*(-2*j + 0*j - j)*((1 + 4 - 3)*(2 + 0 - 1) + (-13 + 12 + 21)*(-2 + 5 - 1)) in the form n*j + y + u*j**2 and give u. 378 Express (9 - 9 - 8*j + (-1 + 1 + 2*j)*(3 - 3 - 3))*(-3 + 3 + 2) as d + c*j and give c. -28 Rearrange 1391*u**2 + 143 - 58 - 85 to c*u + o*u**2 + b and give o. 1391 Express (3*s**2 - s**2 - s**2)*(-441*s**2 + 1644 + s - 1644) as y*s**3 + f*s**2 + m*s + d + t*s**4 and give t. -441 Express (2*t - 8*t - t)*(3*t + 13 + 4*t - 8*t) as w + a*t + c*t**2 and give c. 7 Express (19 + 20 - 21)*(-12*f + 0*f + f) in the form v*f + s and give v. -198 Express 105*d - 50 - 327*d + 50 in the form r*d + g and give r. -222 Express -70*o + 110*o - 50*o in the form t*o + v and give t. -10 Express 4390 + 14*h**2 - 4390 - 159*h**2 in the form q*h + w + v*h**2 and give v. -145 Express (0*p - p - p)*(3*p + p - 3*p) - p**2 + 1 - 1 + 0*p**2 + 233*p**2 - 21*p**2 in the form n*p**2 + s + u*p and give n. 209 Express t + t + 6*t - 3 - t - 5*t**4 as l*t**3 + i*t**2 + k*t**4 + j + y*t and give k. -5 Rearrange (-1 - 2 + 12)*(-6*b + 4*b + 0*b)*(-8 + 2 + 3) to the form k*b + v and give k. 54 Rearrange 80*n - 25*n - 30*n - 23*n + 37 - 16 to z + h*n and give z. 21 Rearrange z + z - z + (3 - 2 - 3)*(-2*z + 4*z - 3*z) + 4 - 4 - z + z + 4*z - 4*z + (0*z - z - z)*(4 - 2 - 4) + 2*z + 3*z - 3*z to p*z + r and give p. 9 Express 4 + 6*f - 4 + (1 - 2 - 1)*(478*f - 477*f + 78 + 11) in the form a + q*f and give q. 4 Rearrange (-6 + 5 - 2 - 3 + 5 + 2 + (2 - 1 - 3)*(-1 + 0 + 3))*(-1 + 3*m - 2*m + 0) to the form y + i*m and give i. -3 Rearrange (o**2 + 0*o + 0*o)*(-7 - 27 - 5)*(-4 + 2 + 10) to s + p*o**2 + l*o and give p. -312 Rearrange -435*i**2 + 418*i - 1205*i**2 - 418*i to the form x + f*i**2 + g*i and give f. -1640 Rearrange (2 - 15 - 7)*(2*m + 2*m - 2*m)*(-4 - 3 + 4 + (-1 + 0 + 2)*(0 - 3 + 2)) - 4*m + 7*m - 2*m to i + g*m and give g. 161 Express (2*m + 3 - 3)*(-3 - 1 + 5)*((3 - 1 + 1)*(2 + 5 + 1) - 2 + 5 + 0)*(-8 + 1 + 1) in the form p*m + y and give p. -324 Rearrange (0*j + 0*j - j)*(-10*j - 2*j - 9*j)*(-4 + 1 + 6) to the form s*j**2 + n*j + f and give s. 63 Express 2035*n**2 - 2911*n**2 - 2965*n**2 + (-2*n + 4*n + 0*n)*(5 - 5 - n) in the form a + v*n + s*n**2 and give v. 0 Rearrange 35*o**3 + 3*o**4 - o**2 - 16*o**3 - 18*o**3 + 2 + 16*o + 125*o to the form v*o**2 + r + k*o**4 + n*o + g*o**3 and give k. 3 Express (20*s - 3*s + 28*s)*(4 - 1 + 1) in the form i*s + c and give i. 180 Rearrange -70*m + 593 - 593 + (-m - 2*m + 0*m)*(0 + 0 - 1)
{ "pile_set_name": "DM Mathematics" }
d 12? 12 What is the highest common factor of 15741 and 22? 11 What is the highest common divisor of 46 and 9683? 23 What is the highest common divisor of 243 and 1? 1 What is the greatest common divisor of 11024 and 312? 104 Calculate the highest common divisor of 2375 and 100. 25 Calculate the greatest common divisor of 4094 and 2848. 178 Calculate the highest common divisor of 104 and 182. 26 What is the greatest common factor of 714 and 126? 42 Calculate the highest common factor of 21 and 3066. 21 What is the greatest common divisor of 137 and 3288? 137 Calculate the highest common factor of 108 and 1755. 27 Calculate the greatest common divisor of 266 and 14. 14 What is the highest common factor of 4408 and 304? 152 Calculate the highest common divisor of 464 and 16. 16 What is the greatest common divisor of 6 and 2328? 6 What is the greatest common divisor of 48 and 9552? 48 Calculate the highest common factor of 5 and 35. 5 Calculate the highest common divisor of 5796 and 49. 7 What is the greatest common divisor of 98 and 182? 14 Calculate the greatest common factor of 2 and 580. 2 Calculate the greatest common factor of 40 and 70. 10 What is the greatest common factor of 436 and 2071? 109 What is the highest common divisor of 28 and 126? 14 What is the greatest common factor of 418 and 66? 22 What is the greatest common divisor of 142 and 355? 71 What is the greatest common divisor of 1320 and 24? 24 What is the greatest common divisor of 20 and 152? 4 Calculate the greatest common divisor of 75225 and 75. 75 What is the highest common divisor of 2919 and 42? 21 What is the highest common divisor of 2275 and 525? 175 Calculate the greatest common factor of 63 and 616. 7 Calculate the highest common factor of 24 and 372. 12 Calculate the highest common factor of 28 and 2954. 14 What is the highest common factor of 520 and 1430? 130 What is the greatest common factor of 4842 and 18? 18 Calculate the highest common divisor of 5993 and 13. 13 What is the highest common factor of 972 and 24? 12 Calculate the highest common factor of 3072 and 448. 64 Calculate the highest common divisor of 546 and 637. 91 What is the greatest common divisor of 102 and 3774? 102 Calculate the highest common divisor of 29 and 493. 29 What is the greatest common factor of 2 and 71? 1 Calculate the greatest common divisor of 2196 and 244. 244 What is the greatest common factor of 20275 and 25? 25 What is the greatest common factor of 3026 and 178? 178 Calculate the highest common factor of 2050 and 6. 2 Calculate the highest common divisor of 3026 and 1246. 178 Calculate the greatest common divisor of 43369 and 31. 31 What is the highest common divisor of 28 and 12? 4 What is the greatest common divisor of 96 and 108? 12 What is the greatest common factor of 39 and 52? 13 Calculate the highest common factor of 13 and 104. 13 Calculate the highest common divisor of 6989 and 29. 29 What is the highest common divisor of 11328 and 36? 12 Calculate the greatest common divisor of 70 and 42. 14 What is the greatest common divisor of 7909 and 11? 11 What is the greatest common factor of 49 and 539? 49 What is the highest common divisor of 1497 and 3? 3 Calculate the highest common divisor of 1003 and 34. 17 Calculate the greatest common divisor of 10044 and 9. 9 What is the highest common divisor of 6 and 144? 6 What is the greatest common divisor of 680 and 30? 10 What is the greatest common divisor of 10 and 105600? 10 Calculate the greatest common divisor of 12285 and 90. 45 What is the greatest common factor of 23 and 10511? 23 What is the highest common factor of 1300 and 200? 100 What is the greatest common divisor of 18 and 81? 9 What is the highest common divisor of 53 and 636? 53 Calculate the greatest common divisor of 360 and 90. 90 What is the greatest common factor of 45 and 180? 45 What is the greatest common factor of 80 and 410? 10 What is the greatest common factor of 36 and 99? 9 What is the greatest common divisor of 348 and 12? 12 What is the greatest common factor of 54 and 4? 2 What is the greatest common divisor of 23128 and 4? 4 Calculate the greatest common divisor of 855 and 18. 9 What is the greatest common factor of 756 and 112? 28 What is the highest common divisor of 1632 and 128? 32 Calculate the highest common divisor of 59 and 472. 59 Calculate the greatest common divisor of 10191 and 948. 237 Calculate the highest common factor of 1120 and 385. 35 What is the highest common factor of 1314 and 243? 9 What is the highest common divisor of 3 and 192? 3 Calculate the greatest common factor of 432 and 96. 48 What is the highest common factor of 10 and 25? 5 Calculate the greatest common divisor of 1161 and 18. 9 Calculate the greatest common divisor of 3965 and 122. 61 What is the greatest common factor of 1406 and 570? 38 Calculate the highest common factor of 1426 and 23. 23 Calculate the greatest common factor of 144 and 8544. 48 What is the highest common factor of 162 and 1824? 6 What is the highest common divisor of 56 and 1204? 28 What is the greatest common divisor of 299 and 13? 13 What is the greatest common factor of 70 and 28? 14 What is the highest common divisor of 10 and 3890? 10 What is the highest common divisor of 3237 and 996? 249 What is the greatest common factor of 66 and 66? 66 Calculate the highest common divisor of 93 and 15996. 93 What is the highest common factor of 47 and 799? 47 Calculate the highest common divisor of 18 and 576. 18 Calculate the highest common divisor of 594 and 22. 22 What is the highest common divisor of 775 and 31? 31 What is the highest common factor of 47 and 2209? 47 Calculate the highest common divisor of 2 and 29. 1 Calculate the greatest common factor of 136 and 50320. 136 What is the greatest common divisor of 650 and 2450? 50 Calculate the highest common divisor of 27 and 135. 27 What is the highest common divisor of 160 and 28640? 160 Calculate the highest common factor of 1 and 54. 1 What is the highest common divisor of 228 and 318? 6 What is the greatest common factor of 18 and 828? 18 What is the highest common divisor of 42 and 1022? 14 What is the greatest common factor of 134 and 37654? 134 What is the highest common factor of 12957 and 14? 7 Calculate the highest common factor of 42 and 462. 42 Calculate the greatest common factor of 44 and 4521. 11 Calculate the highest common divisor of 480 and 22. 2 What is the highest common factor of 56 and 51044? 28 What is the highest common factor of 8 and 14? 2 Calculate the greatest common divisor of 37 and 6142. 37 Calculate the greatest common divisor of 187 and 330. 11 Calculate the greatest common divisor of 24 and 30. 6 Calculate the greatest common factor of 1053 and 405. 81 What is the highest common factor of 633 and 3587? 211 Calculate the greatest common divisor of 164 and 332. 4 What is the greatest common factor of 165 and 869? 11 Calculate the highest common factor of 208 and 104. 104 What is the highest common divisor of 95 and 19? 19 Calculate the greatest common factor of 12193 and 137. 137 Calculate the greatest common factor of 92 and 115. 23 Calculate the highest common divisor of 620 and 80. 20 What is the highest common factor of 129 and 860? 43 Calculate the greatest common divisor of 126 and 198. 18 Calculate the highest common factor of 1537 and 29. 29 Calculate the greatest common factor of 162 and 2556. 18 Calculate the highest common divisor of 240 and 5880. 120 What is the highest common factor of 34 and 1071? 17 What is the highest common factor of 64 and 56? 8 Calculate the highest common factor of 51 and 272. 17 What is the highest common factor of 11942 and 14? 14 Calculate the greatest common factor of 5 and 167. 1 Calculate the greatest common factor of 304 and 32. 16 Calculate the greatest common divisor of 125 and 75. 25 Calculate the highest common divisor of 35 and 14. 7 What is the highest common divisor of 5 and 1555? 5 What is the highest common factor of 246 and 120? 6 Calculate the highest common factor of 192 and 3. 3 Calculate the highest common divisor of 38 and 475. 19 What is the highest common factor of 630 and 960? 30 Calculate the greatest common factor of 53 and 371. 53 What
{ "pile_set_name": "DM Mathematics" }
irst derivative of -20 - 9*g**3 - 1/120*g**5 - 7/24*g**4 + 0*g**2 + 0*g. Let u(d) be the third derivative of b(d). Give u(-6). -1 Let i(o) = 4*o**2 + 2*o. Let q(k) = 21*k + 3. Let n be q(-1). Let g be (0 + 0)/2 + n/(-9). Give i(g). 20 Let t(g) = -g**2 - 3*g - 3. Let z(p) = -p**2 - 13*p + 4. Let f(w) = -95 + 95 - w. Let x(j) = -6*f(j) + z(j). Let k be x(-8). Calculate t(k). -7 Suppose -2*d + 5*x = 6, 9*x - 5*x - 60 = -3*d. Let p(q) = q + 9. Give p(d). 21 Let d(p) = 271*p + 360*p - 20*p**2 + 1 - 630*p. Give d(2). -77 Let t(l) = -l + 7. Let k = 10652 - 10640. Calculate t(k). -5 Let o(g) = -31*g + 142. Let p(t) = 39*t - 142. Let c(l) = -4*o(l) - 3*p(l). Determine c(22). 12 Let y(s) = -2 + s + s**2 + s + s**2. Let l(g) = -3*g**2 - 3*g + 3. Let z(o) = 3*l(o) + 4*y(o). Let k = -3873 - -3871. Calculate z(k). -1 Let h(z) = -206619 + 0*z**3 - 6*z**3 - 5*z + 206630 - 4*z**2. Suppose 5*b = -33 + 8. Let t(x) = -x**3 - x**2 - x. Let r(m) = b*t(m) + h(m). What is r(0)? 11 Let j(u) be the second derivative of 5*u**3/6 + 3*u**2/2 + 1537*u. Calculate j(2). 13 Let k(r) be the first derivative of r**3/3 - 7*r**2/2 + 6*r - 621. Give k(5). -4 Let s(g) = g**2 + 3*g - 9. Suppose -701*l + 700*l = 4. What is s(l)? -5 Let k = 62 - 55. Suppose 11*y = 7*y + 32. Let n(f) = y*f + 0*f - k*f. Calculate n(-3). -3 Let u(x) be the first derivative of -x**4/4 + 8*x**3/3 - 6*x**2 - 8*x + 2470. Calculate u(6). -8 Let b(i) = 3*i**3 + 6*i**2 - 6*i**3 - 1 + 4*i**3 + 7. Suppose 2*z + 4*p + 24 = 0, 25*p = -5*z + 29*p - 18. Give b(z). 6 Let d(m) = -m**3 - 4*m**2. Let z(n) = 4*n**3 + 16*n**2 - n - 2. Let t(a) = -9*d(a) - 2*z(a). Let j(o) = -o**2 - 38*o - 75. Let g be j(-2). Determine t(g). 7 Let p(q) = -787*q - 719*q + 1500*q + 126. Determine p(22). -6 Let z(l) = -9105*l - 9106*l + 36424*l + 93 - 9107*l - 9097*l. Determine z(-8). 21 Let k(v) = -3*v**2 + 5*v + 3. Let l = 310 - 308. Let g(u) = -4*u**2 + 4*u + 2. Let w(j) = l*g(j) - 3*k(j). Calculate w(7). -5 Let p(z) be the second derivative of 2/3*z**3 + 16*z - 1/2*z**2 - 3. Determine p(-2). -9 Let v(u) = 46*u**2 + 2*u + 1. Suppose 20*y = -4*y - 24. Determine v(y). 45 Let z be -1*0/(-4)*(-5)/(-15). Suppose 5*o + 105 - 75 = z. Let p(x) = -x**2 - 6*x - 2. Determine p(o). -2 Let v(q) = -q**2 + 6*q + 103. Let n be v(14). Let o(x) = -56*x - 501. Determine o(n). 3 Let r(k) = k**3 - k**2 + k - 8. Suppose 26 - 1 = -j - 5*d, -3*j + 3*d = 3. Let w be 25 + -30 - j/1. Give r(w). -8 Let p(x) = -x**2 + 19*x - 48. Let t be ((-455)/(-175))/((-5)/(-100)*4). Give p(t). 30 Let q(o) be the first derivative of 3*o**2 - 73*o - 8294. Give q(13). 5 Let a(s) = s**3 + 12*s**2 + 13*s. Let x be (4*(-9)/(-48))/(3/132). Suppose 3*o + x = -n + 3*n, 2*n = 0. What is a(o)? -22 Let s(i) = 35*i + 2. Let m be (48/(-32))/(13/2 + -5). Calculate s(m). -33 Let g(c) = 2*c + 4. Let n(u) = 13*u + 26. Let v(q) = 6*g(q) - n(q). Suppose 5*y + 10 = r, 0 = 3*r + 3*y + 6. Determine v(r). -2 Let u = -90 - -97. Let s(h) = 14*h + 48. Let b(j) = -5*j - 16. Let z(q) = 17*b(q) + 6*s(q). Give z(u). 9 Let b = 3917 - 3907. Let k(d) be the third derivative of -d**4/24 - d**3/6 + 8*d**2. What is k(b)? -11 Let i(x) = 3*x**2 + 25*x + 229. Let y(c) = -19*c**2 - 149*c - 1356. Let d(v) = -25*i(v) - 4*y(v). Calculate d(37). -5 Let x be (-2)/5 + (-374)/(-110). Let w(t) = 2*t - t - x*t + t**3 - 69 + 70 + 7*t**2 + 5*t. Let z = 13 + -19. Calculate w(z). 19 Let x(v) be the third derivative of v**6/120 - 11*v**5/60 + 3*v**4/8 + v**3 - 4*v**2 + 6*v. Calculate x(10). -4 Let l(p) be the first derivative of p**4/12 - p**3/6 - 19*p**2/2 - 24*p + 24. Let a(b) be the first derivative of l(b). Determine a(0). -19 Let u(m) = -2*m**3 + 9*m**2 - 3*m + 2. Let i(o) = 5*o**3 - 26*o**2 + 9*o - 5. Let h(p) = 3*i(p) + 8*u(p). Calculate h(-6). -17 Suppose 0 = -12*k + 14*k - 10. Let n(s) = 55*s**2 + 7*s + 8. Let l(g) = -27*g**2 - 4*g - 5. Let f(u) = k*l(u) + 3*n(u). What is f(1)? 30 Let n(d) = 3*d + 7. Let j(c) = c - 4. Let t(s) = 2*j(s) - n(s). Give t(-6). -9 Let z(r) = 5*r**2 - 586 + 597 + 2*r**2 + r**3 - 2*r**3. Determine z(7). 11 Let a(v) = -99*v - 91. Let p(c) = -248*c - 243. Let w(l) = -13*a(l) + 5*p(l). Give w(1). 15 Suppose 0 = -1828*v + 1827*v + 3. Let h(q) be the second derivative of -3*q + 0 - 1/6*q**v - 13/2*q**2. Determine h(0). -13 Let q(b) = -34*b + 278. Let u be q(8). Let w(x) = -x**3 + 4*x**2 + 14*x + 4. What is w(u)? 16 Suppose d + 4*x + 9 = 0, -3*d + 0*x = 4*x + 11. Let m(i) = 40*i**2 - 18*i - 918. Let w(s) = -38*s**2 + 17*s + 867. Let y(u) = -17*m(u) - 18*w(u). What is y(d)? 4 Let g(p) be the first derivative of p**4/4 + 14*p**3/3 - 15*p**2/2 + 4*p - 48. Determine g(-15). 4 Let m(c) = 13*c. Let u(o) = 27*o + 1. Let i(z) = -5*m(z) + 3*u(z). Let t be (-5)/(-2) + 2/(12/(-27)). What is i(t)? -29 Let v be (-1 + 1 + 80/48)*24. Let u(m) = m**3 - 39*m**2 - 40*m - 3. What is u(v)? -3 Suppose 4*f + 12 + 4 + 0 = 0. Let y(q) be the third derivative of 2*q**2 + 1/30*q**5 + 1/4*q**4 + 0*q + q**3 + 0. Give y(f). 14 Let p be (-5*(-28)/10)/(-4 + -6 + 12). Let t(v) = -v**3 + 9*v**2 - 13*v - 8. Determine t(p). -1 Suppose 178 = 184*o - 926. Let b(a) = -10*a + 10. Give b(o). -50 Let o(v) be the first derivative of v**4/4 + v**3 + v**2 + 2*v + 2. Let f(m) = 30*m - 40. Let t be f(4). Suppose -19*h + 23 = t. What is o(h)? -4 Let g(r) = r**3 + 17*r**2 - 17*r + 6. Let t(w) = w**2 - w. Let b(y) = g(y) - 3*t(y). Determine b(-15). -9 Let s = 17 - 22. Let d(o) = 6*o**2 + 4*o**2 - 8*o**3 - 3*o**3 + 12*o**3 + 4 - 5*o**2. What is d(s)? 4 Let x(f) = -25*f + 475. Let i be x(19). Let p(g) = g**3 + g**2 + g + 6. Determine p(i). 6 Suppose -3 = t - 6. Suppose -p = t, -3*h + p - 7 = -h. Let b(j) = 1. Let y(d) = -d**2 - 4*d. Let c(o) = h*b(o) + y(o). What is c(-4)? -5 Let v(o) = -41*o - 8. Suppose 17*c + 4*c = -9*c - 30. Calculate v(c). 33 Let g(r) be the first derivative of -11*r**2 + r - 1376. Let j(b) = 2*b + 3. Let x be j(-2). Give g(x). 23 Let t(h) = -h**2 - 20*h - 17. Suppose 2*z - 2*s = -32, 15*s - 10*s = -z - 34. Give t(z). 2 Let q(m) = -11*m**2 - 21*m - 14. Suppose -224 = -25*r + 53*r. Let d = 6 + -3. Let u(p) = -4*p**2 - 7*p - 5. Let k(h) = d*q(h) + r*u(h). Calculate k(-4). 10 Let a(s) be the third derivative of -s**6/120 + s**5/60 + s**4/12 - s**3/3 + 141*s**2 - 12. Let f = 2 + -1. Let h = f + 2. Give a(h). -14 Let o(d) = -d**3 + 5*d**2 + 5. Let j = 17 + -12. Let p be o(j). Let v(n) be the third derivative of -n**4/24 - n**3 - 2*n**2 - 8079. Determine v(p). -11 Let a(x) = 2*x - 3. Suppose 0 = g - 3*g - 2*c + 2, -5*g - 4*c + 10 = 0. Suppose -d + 7 = g*d. Let t be -2*((-20)/(-8) - d). Give a(t). -9 Let c be -2*(0 + 1)*-2. Let j(y) be the second derivative of -y**4/12 + 5*y**3/6 - y**2 - 48109*y. Calculate j(c). 2 Let i(h) = -32*h + 128. Let u(m) = 2*m**2 + 79*m - 344. Let g be u(4). Give i(g). 0 Let b(d) = -d**2 - 23*d + 5. Let g be b(-23). Let x(o) = -o**2 + 8*o - 10. Calculate x(g). 5 Let l(d) = -2*d**3 + 9*d**2 + 9*d. Let q = -19565 - -19572. Determine l(q). -182 Let o(z) = 3248*z**2 - 12993*z**2 + 34*z + 3249*z**2 + 3253*z**2 + 3255*z**2. Give o(-3). 6 Let r(g) = -11*g + 125. Let k(o) = -35*o + 357. Let p(y) = -6*k(y) + 17*r(y). What is p(1)? 6 Let t be ((-18)/5)/((-4)/10). Let m be 2*1/2*t. Let d(l) = -l + 156 + 134 + 137 - 418. Give d(m). 0 Let k be (11 - (-236)/(-20))*(-3 - 2). Let o(x) = 180*x + x**2 - 180*x - 2 - 2*x**2. Give o(k). -18 Let c(h) = h**3 - 2*h**2 - 3*h - 5. Let k be (-4)/(-6)*(3 + 87 + 0). Let q be (1 - -3)*k/8. Suppose 6 - q = -6*b. Give c(b). 15 Let g(n) be the first derivative of n**4/2 + 2*n**3/3 - 3*n**2/2 - 5*n - 389. Determine g(-3). -32 Suppose 53*g = 51*g + 32. Suppose -4*b + 0*b = 2*f - 8, g = 4*f. Let w(j) = -j + 26. Determine w(b). 26 Let t(l) be the second derivative of -l**7/280 - l**6/180 + l**5/60 + l**4/24 - 15*l**3 - 8*l - 3. Let r(d) be the second derivative of t(d). Calculate r(-2). 13 Let v(l) = -193*l - 2899. Let r be v(-15). Let n(i) = i**3 + 3*i**2 - 7*i - 7. Give n(r). 5 Suppose -3*i - 132 = -2*k, -5*k - 3*i = 2*i - 380. Let b(a) = k*a**3 + 5*a**2 + 0*a**2 + 77*a**3 - 148*a**3 + 3*a + 2. What is b(-5)? -13 Let a(y) = y**2 - 7*y + 4. Let j be ((-7)/(-28)*(-56)/35)/(4/(-10)). Calculate a(j). -2 Suppose 4*n - 52 = -4*j, -j = 2*n - 2*j - 41. Let k(h) = -14*h + n*h - 4 - 6*h. Give k(0). -4 Let
{ "pile_set_name": "DM Mathematics" }
*3 - 2*u**4 + 95 - 1155*u**2 as s*u**2 + o*u**3 + n + g*u**4 + f*u and give g. -2 Rearrange 3*h - 2*h - 3*h + 5*h + 0*h + 0*h - 2*h - 2*h + 0*h - 2*h + 2*h + 2*h + (0 - 3 + 0)*(h + 2*h - h) to the form b + n*h and give n. -5 Express 14*p**2 - 1761 - 2*p**2 - 2*p + 1746 + (3*p - 5*p + 3*p)*(-3*p + 0*p + 4*p) as h*p + t + m*p**2 and give m. 13 Express 234 + 238 - 2*c - 713 + 230 in the form a*c + v and give a. -2 Express -47*y**2 + 2 + 0 - 4*y - 319*y**2 + 2*y in the form l*y + i*y**2 + n and give l. -2 Rearrange (-42*n + 30*n + 41*n)*(-35*n + 48*n - 28*n) to the form u*n**2 + a + x*n and give u. -435 Express (4*l - 4*l - 2*l)*(-5*l - 12 + 12) + 49*l**2 - 17*l**2 - 13*l**2 in the form m*l**2 + s*l + a and give m. 29 Rearrange (-2 + 2 + w**2 + (-w + 0*w - w)*(-w - 3*w + 2*w) + 4 - 4 + 2*w**2)*(67*w - 123*w - 427*w) to the form r*w**3 + p + i*w**2 + h*w and give r. -3381 Rearrange (-s + 0*s + 0*s)*(-s**3 + s**3 + 2*s**3) + (-8 - 8*s + 8)*(-s**3 - 1 + 1) to the form h*s + n*s**2 + x + c*s**4 + g*s**3 and give x. 0 Express 148*z - 177*z**2 + 86*z**2 + 93*z**2 as u*z**2 + y + s*z and give s. 148 Express k - 3*k + 246 - 67 - 1310 in the form g + s*k and give g. -1131 Express -6*r + 6*r + 68 - 70 - 3*r as p*r + n and give n. -2 Rearrange 32 - 10 + 835*m - 12 - 10 to the form k + d*m and give d. 835 Express 25*f + 46*f + 43*f + 2*f**3 as b*f**3 + w + z*f**2 + p*f and give p. 114 Rearrange (-2*m**2 - m**2 + 4*m**2)*(2 + 2*m**2 - 2) + (3*m - 8*m**3 - 3*m)*(0*m + 2*m - 4*m + 11) to r + z*m + a*m**4 + w*m**2 + k*m**3 and give k. -88 Rearrange -2*h**2 + 25318 - 25295 + 8*h**2 - 2*h to the form m*h**2 + g + s*h and give m. 6 Express -338*n + 683*n + 3 - 347*n - 264 in the form c*n + x and give x. -261 Rearrange (2*s - 352*s**3 + 350*s**3 + 12 + 5*s)*(0 - 2*s + 0) to the form x*s**2 + d*s**3 + u*s**4 + r + k*s and give x. -14 Rearrange (3*u + 2*u - 3*u)*(u - u**2 - u) + 2*u**2 - 177*u**3 - 1 + 390*u**3 - 183*u**3 to o + i*u**2 + q*u + t*u**3 and give o. -1 Express -29*z**2 + 17 - 31*z**2 + 2*z - 36*z**2 + 94*z**2 as d + r*z + t*z**2 and give d. 17 Rearrange (0*g + 2*g + 2*g + 4*g**2)*(-10 + 11 + 5) to the form d + v*g**2 + f*g and give f. 24 Express 0*z**4 + z**4 - 3*z**4 + (-204*z + 204*z + 26*z**3)*(2*z - z + 0*z) as t*z**3 + d*z + p + i*z**4 + a*z**2 and give i. 24 Rearrange 2*i**2 + 11*i**3 - 6*i**2 + 2*i**2 + 7*i**3 to the form o*i**2 + b + h*i + v*i**3 and give v. 18 Express -71*a**2 - 6*a + 126*a**2 - 71*a**2 in the form u*a**2 + t + o*a and give o. -6 Rearrange -140*p + 66*p - 110*p to the form v + c*p and give c. -184 Rearrange 4*f**4 - f**2 - 1 - 3*f - 2*f**4 + 3*f**3 + 2*f**4 - 2*f**3 to the form z + m*f**4 + l*f**3 + k*f + d*f**2 and give m. 4 Express (92*m + 49*m - 794 + 794)*(1 + 1 - 3) as l + b*m and give b. -141 Rearrange (-420*a**4 - 72 + 72)*(-2 - 1 + 2 + (-4 + 5 + 0)*(-3 + 0 + 2) - 3 - 1 + 2) to the form h + c*a**2 + s*a**3 + x*a + v*a**4 and give v. 1680 Express (4*v**4 - 4*v**4 + 2*v**4)*(32 - 6 - 2 + (4 + 2 + 6)*(0 - 1 + 2)) as d*v**4 + r + p*v + q*v**2 + o*v**3 and give o. 0 Express (1 + 0 + 1)*(-1 + 2*y**2 + 1) + 518*y**2 + 1010*y**2 - 677*y**2 + 1910*y**2 in the form z*y**2 + v + s*y and give s. 0 Rearrange 61*h**3 + 48*h**3 + 2*h**2 - 59*h**3 + 1 to the form t + z*h + v*h**3 + m*h**2 and give z. 0 Express (-11 + 5 - 12)*(2*b**2 + 5*b**2 - 2*b**2)*(b + 0*b + 0*b + (1 + 4 - 3)*(-b - 3*b + 5*b)) as p*b**2 + m + f*b + k*b**3 and give k. -270 Rearrange 2*y - 2*y - y + (-4*y + 3*y + 0*y)*(-138 - 283 - 900) + (-4 + 0 + 2)*(-y - 1 + 1) to m + i*y and give i. 1322 Rearrange 340*t**2 + 557*t**2 + 277*t**2 to h + m*t + a*t**2 and give a. 1174 Express -296*q + 2862 - 2862 in the form p + r*q and give r. -296 Rearrange (0 - 5 - 1)*(15 + 2 - 4)*(4*s - 3*s + 0*s) to the form d + r*s and give r. -78 Rearrange (8 + 0 + 2)*(0*i + 7*i - i)*(-1 + 5 - 2) to q*i + o and give q. 120 Rearrange 37*p**2 - 3*p - 34*p**2 + 0*p**3 - 7*p**3 to x*p + d*p**3 + c + f*p**2 and give d. -7 Express (-19 + 106 - 46)*(1 - 4 + 1)*(-4 - 8 + 2)*(-4*d + d + 5*d) as r + a*d and give a. 1640 Express ((2 - 2 + 1)*(-3 + 4 - 2) + 22 + 1 - 4 + (0 + 2 - 1)*(4 + 5 - 4))*(0*v + 5*v - 4*v) as t*v + z and give t. 23 Express -2*i**3 - 5 - 1 + 5*i**3 + 2*i**2 - i**2 + 4 in the form b*i**3 + o*i + z + q*i**2 and give b. 3 Rearrange 15*k**2 - 10*k**2 - 5*k**2 + 68 + k**2 - 2*k to the form h + f*k**2 + l*k and give l. -2 Express -135 + 110 - 2*x**2 + x - x in the form b + v*x**2 + q*x and give v. -2 Express -114314*g + 114314*g + 353*g**2 as a*g**2 + j + l*g and give a. 353 Rearrange (25*f**2 + 33*f**2 - 2*f**3 - 3*f**2)*(-6*f + 0*f + 3*f) to the form h*f + k*f**2 + i + v*f**3 + c*f**4 and give k. 0 Rearrange 641 - 10*a - 13*a + a**2 + 0*a**2 - 634 to the form y*a**2 + x + s*a and give s. -23 Rearrange (-f**4 + 7*f**4 + 0*f**4)*(36 + 13 - 14) to u*f + g + a*f**4 + s*f**2 + m*f**3 and give a. 210 Express (68 - 163 - 161 - 44)*(-3*x**4 + x**4 + 3*x**4) as k*x**3 + s*x**2 + y + p*x**4 + u*x and give p. -300 Express m - 77*m**2 - 29 + 78 - 25 - 24 as t + o*m + g*m**2 and give o. 1 Rearrange 1391 + 513*y**2 - 1391 to a + i*y + g*y**2 and give i. 0 Express -1462 + 420 - 224 - 2*a + 382 in the form o*a + r and give o. -2 Rearrange 9 - 7*l - 18*l - 48*l**2 + 1 + 25*l to the form f + i*l + n*l**2 and give n. -48 Express (-2 + 1 - 1)*(-2 + 2 - 2*k**4) + (-2 - k**2 + 2)*(187*k**2 - 5*k**2 - 3 + 1) in the form p*k**2 + f*k**4 + y + r*k + d*k**3 and give f. -178 Rearrange (-4*f - 2*f + 19*f)*(49*f**2 + 25*f**2 - 13*f**2) + 1 - 1 + f**3 + (2 - f**3 - 2)*(0 + 0 - 1) to d + s*f + z*f**2 + c*f**3 and give c. 795 Express (-4*b + b + 4*b)*(-4 + 2 + 0)*(-267 + 102 - 184 + 4 - 4 - 1 - 5 + 2 + 2 + (0 + 0 - 1)*(3 - 5 + 3)) in the form g*b + y and give g. 704 Express (3*d - 4*d + 4*d)*(43 + 44 - 23 + 2*d) in the form a*d**2 + p*d + s and give a. 6 Rearrange -h**4 + 15*h**3 - 4*h**3 + 0*h**3 - 8*h**3 - 216*h**2 to n*h**3 + a*h + p + b*h**2 + w*h**4 and give w. -1 Rearrange 45*x + 11*x**3 + 35*x - 82*x + 2 to m*x + j + t*x**3 + f*x**2 and give m. -2 Express (5*o + o - 4*o)*(-44 + 12 - 17)*(-3 + 3 - 4*o)*(-2 + 3 + 0) as g*o + k*o**2 + h and give k. 392 Express 15 + 52 + 137 - 5*y + 3*y as w*y + f and give w. -2 Rearrange 289 + 0*k**2 - 292 + 5*k + 2*k**2 + k**3 + 5*k**4 - 4*k to q*k**3 + o + w*k**2 + g*k**4 + b*k and give g. 5 Rearrange 9 + 17*b + 15*b + 8*b**2 - 110 - 32*b to u*b**2 + j + h*b and give j. -101 Express (-3*k + 5*k - 3*k)*(0 + 1 - 2) - 2*k + k + 3*k - 1 - k + 1 + (0*k + 0*k + 5*k)*(-5 - 1 - 4)*(-4 + 4 - 1) as d*k + r and give d. 52 Rearrange 12*t**2 + 12*t**2 - 25*t**2 - t - 23 - 6*t**3 to the form w*t**3 + r*t + u + a*t**2 and give a. -1 Express (-23 - 226 + 2)*(-1 + t - 3 + 3) as g + a*t and give a. -247 Rearrange (509 - 254 + 4*b**2 - 2*b - 253)*(5*b + b + 2*b) to the form q*b + c*b**3 + w*b**2 + n and give c. 32 Rearrange -56*z**2 - 118*z**2 - 68*z**2 to the form t*z**2 + s*z + a and give t. -242 Rearrange (-2 - 1 + 2)*(2*a - 4 + 4) + 0*a - a + 2*a - 2*a + 3*a - 2*a + (-3 + 5 - 1)*(-3128 + 3128 + 225*a) to the form d + s*a and give s. 223 Express (0*s + s - 3*s)*(-s - 2*s + 2*s) + (3*s**2 - 13*s**2 + 7 + 7*s**2)*(-2 + 2 - 2) as k + h*s**2 + n*s and give h. 8 Express (0*v**2 + 0*v**2 + 2*v**2)*(2*v - 4*v + 3*v)*((0 - 9 + 16)*(1 - 4 - 1) - 3 + 5 + 0) in the form n*v + w*v**2 + c + x*v**3 and give x. -52 Express -3*h**2 + 0*h**2 + 316 + 13*h**4 - 318 in the form t*h**4 + v + s*h + n*h**2 + w*h**3 and give n. -3 Express -k - 2*k + 15 + 41*k - 33*k as w + i*k and give i. 5 Rearrange (0*h - 19 - 2*h + 16)*(1 + 4 - 2)*(-5*h + 3*h + 0*h + (-3 + 6 - 1)*(0*h + 0*h - h)) to the form k + u*h + w*h**2 and give u. 36 Rearrange 410 - 6*m + 2*m**2 - 817 + 410 + 31*m to the form f*m + g*m**2 + y and give y. 3 Express (332*h**2 + 839*h - 839*h)*((5 - 2 - 2)*(5*h - 2*h - h) + 1 - 3*h - 1) in the form j*h**2 + o*h**3 + z + g*h and give j. 0 Rearrange (1084*k + 1077*k + 579 - 2163*k)*(-2*k**3 + 1 - 1) to q*k**3 + z*k**2 + i*k + m + b*k**4 and give b. 4 Express (-1293 - 187 + 457)*(3*x - x**2 - 3*x) as k + u*x**2 + i*x and give u. 1023 Express 1549 + 29*s - 1549 + (-1 + 3 + 1)*(3*s - 5*s + s) as k + l*s and give l. 26 Rearrange (312 - 312 + 20*b**2)*(7 + 7 - 11 + (5 - 3 + 3)*(-2 + 1 - 1)) to f*b**2 + n + w*b and give
{ "pile_set_name": "DM Mathematics" }
et a = -69.24 + 57.4. Let n = -0.16 + a. Let v = n + 0.8. Round v to zero dps. -11 Let d = -95.32 + 94.92952. Let w = d - -0.36. Round w to three dps. -0.03 Let h(p) = -31946*p**3 + 51*p - 305. Let r be h(5). Round r to the nearest one hundred thousand. -4000000 Let u = -0.80598 + 0.17922. Round u to 1 dp. -0.6 Let q = 893449050.620000361 + -893449051. Let l = 0.38 + q. What is l rounded to seven dps? 0.0000004 Let v(c) = 58*c**3 - 48*c**2 - 2*c + 80. Let r be v(15). Round r to the nearest 100000. 200000 Let t = 0.3339 - -14.6661. Let h = -15.8997 - -0.5857. Let y = t + h. What is y rounded to 2 dps? -0.31 Let i = 1.06 + 0.84. Let c = i - -4.9. Let b = c - 6.644. What is b rounded to one decimal place? 0.2 Let a = 36.69 - 38.8. Let f = a + 2.1258. Round f to three decimal places. 0.016 Let j = -256393.32831 - -256391. Let x = 2297 - 2294.67. Let o = j + x. What is o rounded to four decimal places? 0.0017 Let z = -0.025 - -0.905. Let m = -4.62 - z. Let x = 5.494 + m. Round x to three dps. -0.006 Let i = -0.067 - -0.1125. Let r = i + -0.07. Let u = r + 0.0638. Round u to three decimal places. 0.039 Let m = -11455.189 + 11437. Round m to the nearest 10. -20 Let o = -0.0639 - 10.8161. Let s = o - -23.14. Round s to 0 dps. 12 Let v = 100.885 - 101. Let f = 0.082 + v. Let a = f + 0.0916. What is a rounded to two dps? 0.06 Let t = 370 + -370.0307. Let q = -1782.97451 + 1783. Let o = q + t. Round o to 3 decimal places. -0.005 Let f = 127.0654 + -127. Let q = 0.06542152 - f. What is q rounded to 6 dps? 0.000022 Let c = -217.325 - 1.075. Let t = c - -184. Round t to the nearest ten. -30 Let v = -218.246 + 148.303. Let b = v - -70. Let h = 0.05746 - b. Round h to 4 decimal places. 0.0005 Let t = -0.5 + 30.5. Let j = t - 29.47. Let w = -0.53435 + j. Round w to four decimal places. -0.0044 Let o = 54131666.2000228 + -54131679. Let d = 0.014 - -12.786. Let i = o + d. Round i to 6 decimal places. 0.000023 Let r = -0.284672 - -0.3071. Round r to three decimal places. 0.022 Let n = -18.4 + 18.402. Let k = n + -0.001999887. Round k to seven decimal places. 0.0000001 Let o = 2.9 - 5.9. Let g = o - -0.1. Let d = 2.899999 + g. Round d to five decimal places. 0 Let s = -2.835 - -3.1. Let r = s + -0.209. What is r rounded to 2 decimal places? 0.06 Let s(j) = -640*j**3 + j**2 + j + 2. Let f be s(-2). Let k = 7265 + -15049. Let x = k + f. Round x to the nearest 100. -2700 Let i = 28636 + -28635.68094. Round i to 3 dps. 0.319 Suppose -2*c - 27098448 = -6*c. Let d = -9764612 + c. Round d to the nearest 100000. -3000000 Let u be (-2 - 1)/(27/(-234)). Suppose -u*o = -27*o - 66000000. Round o to the nearest one million. -66000000 Let p = 2.6771 + 19.3229. Let f = -771309.00204 - -771331. Let t = f - p. Round t to four decimal places. -0.002 Let t = 89524.1 + -89462.1059. Let v = 62 - t. Let d = -4.9841 - v. What is d rounded to zero decimal places? -5 Let i = 54050153 - 29250153. Round i to the nearest one million. 25000000 Suppose 0 = -5*z + 3*q + 8378, -5*z - 2*q - 1511 = -9909. What is z rounded to the nearest 10? 1680 Suppose -h + 0*c + 3*c = -4, 2*h + 4*c - 8 = 0. Suppose 0 = -4*o - 5*p - 11319985, 2941264 - 11431252 = 3*o + h*p. Round o to the nearest 1000000. -3000000 Let x = -0.390155 + 0.35981. What is x rounded to three decimal places? -0.03 Let o = -393 - -586. Let j = -178.61 + o. Round j to zero decimal places. 14 Let d = -1.9 - -1.59. Let u = 3.16 + d. Round u to 1 decimal place. 2.9 Let o = 23.131 + 0.419. Let j = o + -0.55. Let l = j + -23.0081. Round l to three dps. -0.008 Suppose -7*k + 19 + 9 = 0. Suppose 0 = 4*d - 20, -k*c + 5*c + 3*d = -82. Let z = 68 + c. What is z rounded to the nearest integer? -29 Let p = -13547067 - -38985133. Let i = p + -25438065.899000255. Let w = -0.101 + i. Round w to seven dps. -0.0000003 Let u(f) = -f + 0*f**2 - 3*f**2 + 2*f**2. Let b = 168 + -169. Let r be u(b). What is r rounded to 5 decimal places? 0 Let m = 184.9513 + 94.1972. Let i = 271.14 - m. Let r = 8 + i. Round r to three dps. -0.009 Let s = 444.28 - 444.279939594. What is s rounded to 7 decimal places? 0.0000604 Let v = -39342.66 + 39002. Round v to the nearest 10. -340 Let g = 101.54 - 229.04. What is g rounded to the nearest ten? -130 Let c = -0.63 + 0.14. Let f = -0.13 + c. Let h = 0.579 + f. What is h rounded to two dps? -0.04 Let c = -45.5273 + 45.5466001. Round c to four decimal places. 0.0193 Let c = 0.3033996621 + -0.3034. What is c rounded to seven decimal places? -0.0000003 Let g = -0.09022 - -1.50162. What is g rounded to the nearest integer? 1 Let z = 0.012 - -1.618. Let b = z - 135.43. Round b to the nearest ten. -130 Let p = -0.37412 - 226.71588. Round p to the nearest ten. -230 Let m be 32/48 - (-746)/6. Suppose -2*z + 779 = m. What is z rounded to the nearest 10? 330 Let u = -62 + 102. Let r = u - 40.00065. What is r rounded to four decimal places? -0.0007 Let t(f) = 1027*f + 4641900. Let k be t(0). What is k rounded to the nearest one million? 5000000 Let j = -2.4231 + 2.691. Round j to 2 dps. 0.27 Let o(v) = -11907*v**2 + 28*v - 80. Let n be o(-6). What is n rounded to the nearest one hundred thousand? -400000 Let w = -1559383 - -2679381. Suppose -1167211 = -3*i - 2*b - 327207, 0 = -4*i + b + w. What is i rounded to the nearest ten thousand? 280000 Let w = 2609 - 2608.99999207. What is w rounded to 7 dps? 0.0000079 Let r = -0.09185 - -0.047944. Round r to 3 decimal places. -0.044 Let p = 13.79 + -14. Let o = p - 38.79. Let g = -38.99999928 - o. Round g to 7 dps. 0.0000007 Let d = 4661 + 9689. Round d to the nearest ten thousand. 10000 Let q = -496 + 577.4. Let n = q + -16.8. What is n rounded to the nearest 10? 60 Let u = -0.07231 + 0.0733936. Round u to three decimal places. 0.001 Suppose 1925003 = 5*k + z, 40*k - 43*k - z + 1155003 = 0. Round k to the nearest 10000. 390000 Let k = -372 - -243.8. Let l = -138 - k. Round l to 0 dps. -10 Let d be -5 + (-6)/(-10) + (-141)/(-15). Suppose 6640 = n + 4*u - u, 0 = d*u. Round n to the nearest 1000. 7000 Suppose -15 = -5*k + 415. Let w = k + -90. Let s(p) = -130000*p. Let o be s(w). What is o rounded to the nearest one hundred thousand? 500000 Suppose 235*l - 234*l = r + 35167001, 5*l - r = 175835001. What is l rounded to the nearest 1000000? 35000000 Suppose -8*z = -5*z - 6. Suppose -z*t - 14 = -5*j + 2*t, t = -5*j + 34. Suppose j*y = 3*y + 510000. What is y rounded to the nearest one hundred thousand? 200000 Let w = -15.2899999714 - -15.29. Round w to 7 decimal places. 0 Let d = 263 + -258. Suppose -5*g - 4*x + 6*x = -8796, 2*g - d*x = 3510. Round g to the nearest one thousand. 2000 Let j = -19622 + 19622.0007875. Round j to 3 dps. 0.001 Let v = 391 + -842. Let j = v + 418.6. Round j to zero decimal places. -32 Let s = -132 + 131. Let w(t) = -3*t. Let g be w(s). Suppose 5*i = -2*y + g*y - 14100002, 2*i + 5640010 = 5*y. Round i to the nearest one million. -3000000 Let v = 135.599988899 + -135.6. What is v rounded to six dps? -0.000011 Suppose 0*l + 72 = -6*l. Let t be 18/l + (-304443)/6. Let o = -193742 - t. Round o to the nearest one hundred thousand. -100000 Let l(k) = -160*k - 16. Let u be l(-8). Let f = -11004 + u. What is f rounded to the nearest one thousand? -10000 Let m = 24 - 844. Let a = -835.06 - m. What is a rounded to zero decimal places? -15 Let p = 186.4718 - 186.4. What is p rounded to 3 dps? 0.072 Let x(t) = 22*t + 108. Let s be x(3). Let u be (552740000/s)/((-2)/(-6)). What is u rounded to the nearest 100000? 9500000 Let y = 3.21 + -1.22. Let t = -1.812 + y. Let k = 5.012 + t. What is k rounded to 1 dp? 5.2 Let h = 2.66 - 2. Let w = 2386.6655 - 2386. Let z = h - w. What is z rounded to 3 dps? -0.006 Suppose 0 = 5*y - 2*r + 2547 - 1046, 0 = -3*r + 9. Round y to the nearest 10. -300 Let g = -214 - -197. Let o(s) = -338*s - 6. Let x be o(g). What is x rounded to the nearest one hundred? 5700 Let v = -1.02195377 + 1.0219. Round v to 5 decimal places. -0.00005 Let q = 386.9948 + -387. Let y = q + -0.0086. Round y to two dps. -0.01 Let w = -4435.998604 + 4436. Round w to 4 decimal places. 0.0014 Let u = 643 - 182. Let p = 180 - u. Round p to the nearest one hundred. -300 Let j = -0.197 + 6.737. Let v = -6.612 - -6.472. Let s = j + v. Round s to zero dps. 6 Suppose 2*o + 33*z = 31*z - 6
{ "pile_set_name": "DM Mathematics" }
= z. Suppose -2*h = 4*x - 386, -2*h - w = -4*h + 3*x. Is 11 a factor of h? True Let w(n) = n**3 - 41*n**2 + 94*n + 24. Does 8 divide w(40)? True Does 225 divide 50996/33*(3 - (-78)/4)? False Let k(d) = 120*d**2 - 120*d + 370. Does 61 divide k(3)? False Let s = -401 + 7510. Is s a multiple of 4? False Suppose -96*i + 94*i + 1675 = -5*p, -p = -2*i + 1663. Is i a multiple of 6? False Let x(s) = s**3 - 4*s**2 + 2*s + 4. Let j be x(3). Let d be (j - 0/(-4))*588. Suppose -3*p = 105 - d. Is 23 a factor of p? True Let f(y) = -19*y**2 - 6*y - 15. Let k be f(-15). Is ((-84)/10)/(70/k) a multiple of 47? False Does 59 divide 5/(10/(-24))*(137009/(-57) + 44)? False Let b = 43577 + -38201. Is b a multiple of 193? False Let g(y) = -y**2 + 12*y - 44. Let l(f) = -3*f**2 + 48*f - 176. Let u(n) = -9*g(n) + 2*l(n). Is u(6) a multiple of 16? True Suppose 3*b + 3*y + y = 43, 4*b - 64 = -2*y. Let i = 298 + -198. Suppose -2 = -b*w + i. Is w a multiple of 3? True Suppose -s = 4*j + 134 + 111, 3*j + 5*s = -205. Is 1281 - j - (1 - 7) a multiple of 55? False Let y(z) = -40*z**3 + 6*z + 4. Let s(v) = -9*v + 16. Let p be s(2). Is y(p) a multiple of 24? True Let w(x) = 3 + 6 - 32*x - 4 - 4. Let g be w(9). Let y = g + 414. Is y a multiple of 14? False Let j be 4/(-14) - 7731/63. Let p = 77 + j. Let z = 79 + p. Is 11 a factor of z? True Let s(q) = 14*q**2 - 12*q - 12. Let x be s(6). Suppose -6*r = -x - 48. Is r a multiple of 13? True Let q(x) = 12*x + 17. Let r(g) = -17*g - 22. Let l(d) = d + 1. Let h(y) = 6*l(y) + r(y). Let i(w) = -6*h(w) - 5*q(w). Is i(4) a multiple of 6? False Let b(n) = -n + 10. Let u = -11 - -17. Let c be b(u). Suppose -c*t + 4*v + 324 = 0, -3*v - 18 + 6 = 0. Is 11 a factor of t? True Let g = 3 - 6. Let v(s) = -100*s + 435. Let a be v(3). Let k = a + g. Is k a multiple of 22? True Let w be 36772/464*-2*1*2. Let y = w + 506. Is 21 a factor of y? True Suppose -4*n + 5 = -2*w - 21, 0 = -2*n + 3*w + 23. Suppose 0 = f + 1 + n, 5*j + 5*f + 145 = 0. Is -1 - -5 - (j + -4) a multiple of 16? True Let q(n) be the first derivative of n**3/3 + 13*n**2/2 - 189*n + 40. Is q(-40) a multiple of 11? True Let n(u) = -355*u**3 + 6*u**2 - 220*u - 1110. Does 14 divide n(-5)? False Let y be 210/112 + (-1)/(-8). Suppose y*f - 566 + 46 = 0. Does 26 divide f? True Suppose -3*z + 16 = 2*m + z, 0 = 2*m - 2*z + 2. Let s(a) = -3*a**3 + m*a**2 + 72*a - 2 - 3*a**2 - 66*a. Is s(-3) a multiple of 21? False Let m(o) = -2*o**2 + 52*o - 16. Let h be m(25). Suppose -5*k + 36 = -h. Let n(x) = -x**3 + 13*x**2 + 15*x + 6. Does 5 divide n(k)? True Is (-27)/(-3) + (-10 - 120736/(-16)) a multiple of 6? False Let r = -4557 + 14840. Is r a multiple of 7? True Let v(i) = -4*i**3 - 10*i**2 + i + 3. Let r be v(-5). Suppose 0*y - 3*y = 4*u - 372, -2*y = -5*u - r. Suppose -p + 23 = -y. Does 22 divide p? False Suppose 142*q - 217 = 139*q + b, -4*b = -q + 87. Suppose w - 458 + q = -4*d, w - 191 = -2*d. Does 49 divide d? True Is 12 a factor of ((-8108)/2)/(44/1078*-7)? False Let a = 2557 - 1712. Let w = 1219 - a. Is w a multiple of 24? False Suppose -16*i - 3 = -17*i. Suppose 3*q - 528 = -i*v, 4*v + 0*v = 4. Does 25 divide q? True Suppose -4*p + 3*u = 104, 3*u + 2*u = 0. Let a be 21/(-12)*(2 - p). Is (-868)/a + 4/14 a multiple of 3? True Suppose -8*u = -5*u + 9. Let s be u + (-6)/12 + (-11)/(-2). Suppose 0 = 2*r + s*m - 40, -7*r + 93 = -2*r - 2*m. Is 8 a factor of r? False Suppose 125*t + 1291575 = 8086825. Is t a multiple of 14? True Let q(p) = 48*p + 1404. Does 11 divide q(43)? False Let z(v) = -2*v**3 + 32*v**2 + 11*v + 113. Is z(15) a multiple of 28? True Let m be (-13)/(-26) + 36/8 + -3. Suppose -17*n = -m*n - 14400. Is n a multiple of 8? True Let i = 46 - 46. Suppose j - 190 - 39 = i. Suppose -l - a + j = l, 119 = l - 4*a. Is l a multiple of 18? False Is (-1658696)/(-56) + 80/(-8) - (-6)/14 a multiple of 282? True Suppose 0 = -2*l - 3*l. Let m be (-5)/(0 - 10)*4*2. Suppose l = -g + m*g - 84. Is 26 a factor of g? False Suppose -13*c - 2*h - 10196 = -18*c, -3*c = -2*h - 6116. Is 112 a factor of c? False Does 109 divide -3 + -3 - (45 + -2776)? True Let z = -959 - -1416. Let f = z + -238. Does 23 divide f? False Suppose -f + x = -237, 8*x = -3*f + 6*x + 731. Suppose -k + f = 2*c - 231, k - 4*c = 484. Is 4 a factor of k? True Let p = -19965 + 21107. Is p a multiple of 12? False Let p = -855 + 374. Let q = -11 - p. Is 6 a factor of q? False Suppose 2*u - 930 = -45*a + 35*a, 0 = a + 4*u - 93. Does 21 divide a? False Let y(b) be the second derivative of -7*b**3/2 - 30*b**2 + 2*b + 25. Is y(-3) a multiple of 2? False Suppose -4*v - 15*c = -20*c - 154, 86 = 2*v + 2*c. Is 3*v - 308/(-44) a multiple of 10? True Let y(f) = 2185*f + 1 - 2 - 1101*f - 1207*f. Let v = 1 + -2. Is y(v) a multiple of 21? False Suppose -5 - 67 = -6*v. Does 28 divide (2 + -14)/(v/(-84))? True Suppose -2*h - 4*z + 86 = -374, 2*z = -10. Does 15 divide (h/(-56))/((-3)/42)? True Suppose -35*x = -30*x - 20. Suppose -x*z + 687 = -21*s + 22*s, 2*s = z + 1329. Does 57 divide s? False Let r(u) = -71*u**3 + u**2 + 92*u + 288. Is 285 a factor of r(-9)? True Let i(a) = a**2 + 18*a - 1620. Does 3 divide i(-66)? True Suppose -4*f + 3*w + 33 = -37, 2*f - 42 = 5*w. Let a(c) = -20 - 15 - 5 + c + 5*c. Is 14 a factor of a(f)? True Is 7645 + (((-9)/2)/1)/((-376)/(-752)) a multiple of 167? False Suppose n = 4*x, 2*n = 5*x - 3 + 6. Suppose -3*q + 200 = -2*u, -n*q + 404 = -5*u + u. Let b = 220 + u. Is b a multiple of 12? False Suppose 0 = 62*t - 3846 + 498. Let q be 1 + 0 - (-4 + 1). Let l = t - q. Is 10 a factor of l? True Let s(f) = f**3 - 4*f**2 + 6*f - 9. Let i(g) be the third derivative of -g**6/120 + g**5/15 + 7*g**4/24 - 2*g**3/3 + 11*g**2. Let v be i(5). Does 9 divide s(v)? True Let f = -122 - 137. Let v = 132 - f. Does 48 divide v? False Suppose -7 - 1 = -4*p. Suppose o + 4 = -3*r, -6*r - 3 = -p*r - o. Is 8 a factor of 24 + (r - 6/(-3) - 2)? False Let d = 12665 - 7737. Is d a multiple of 44? True Suppose b + 0 = 2, -730 = 4*m + 3*b. Let h = m + 298. Is 38 a factor of h? True Suppose 2*y = -1786 + 6612. Suppose 22*b - 1393 - y = 0. Does 15 divide b? False Let o be 2*170/(-8) - (-57)/(-38). Let k = 49 + o. Suppose -2*r + 5*r = -2*c + 38, 2*r - k*c = 19. Is r a multiple of 3? True Let n be 4 + -3 - (-3 - (0 + 1)). Suppose 4*w = -n*r + 15, 0 = r - 4*w - 0*w - 3. Suppose -r*j + 5*l + 242 = -415, -3*j - 5*l = -687. Is j a multiple of 14? True Suppose 0 = -3*o - w + 3966, -87*o - 3*w + 2637 = -85*o. Does 9 divide o? True Is (7 - 5)*3 - -969 a multiple of 18? False Suppose -2*m + 34367 = -5*y, -m + 17188 = -1075*y + 1071*y. Is m a multiple of 113? True Let t(o) = o**3 + 19*o**2 + 21*o + 54. Let p be t(-17). Suppose 27 = -31*i + p. Is i a multiple of 6? False Let q be ((-1)/3)/((5 + -9)/(-1932)). Let d = 361 + q. Is 8 a factor of d? True Let d(a) = 2*a**3 + 69*a**2 + 93*a - 71. Does 6 divide d(-33)? False Let a be (0 - -2) + (1 - 9/(-3)). Suppose -a*t - 11 = 5*t. Is 27 a factor of 1196/46 + t + 1*2? True Is 5 a factor of 429167/51 - 8/204? True Suppose -85*w - 2 = -86*w. Let l be (1428/91)/w - (-4)/26. Suppose -52 = -2*s - l. Is 8 a factor of s? False Let w = 2223 + -1293. Does 10 divide w? True Let w(d) = -d**3 - 7*d**2 - 8*d - 12. Suppose 2*r + 27 = 15. Let s be w(r). Suppose 9*i + 14 - 140 = s. Is i a multiple of 7? True Let j(v) = -v**2 - 6*v + 31. Let i(y) = y**2 + 7*y - 32. Let n(a) = -5*i(a) - 4*j(a). Is n(-9) a multiple of 5? False Suppose 6*m + 24 = 10*m. Suppose -7*s = -m - 1. Suppose -o + s = -6. Is o a multiple of 4? False Suppose q + 2 = r + 6, 4*q - 12 = 3*r. Suppose 0*f - 9*f + 2133 = q. Is f a multiple of 29? False Let o(d) = -21 + d + 2*d**2 - 4*d - 3*d. Let s be 33 + -8 - 192/12. Is o(s) a multiple of 29? True Suppose -4*x - 334 + 41 = 3*z, x + 72 = -2*z. Let t = x + 78. Suppose 2*u - 28 = 2*f, 0 = 4*f - 0*f + t. Is u a multiple of 3? False Suppose 0 = -18*i - 46496 + 164810. Does 21 divide i? True Suppose 11*h = -9*h - 160. Is 6 a factor of 2*((-1212)/h + 7)? False Let k be (2/(-7))/((-12)/168). Let i be 2 - 1 - (-5 + k + -50). Suppose 0 = 140*j - 139*j - i. Is j a multiple of 27? False Let k(d) = -d**3 + 6*d**2 - 8*d + 6. Let v be k(6). Let l be v/12*4/7. Does 12 divide -54*l/3*1? True Is (7946292/410)/((-3)/(-5)) + -1 a multiple of 37?
{ "pile_set_name": "DM Mathematics" }
it of 384234? 3 What is the units digit of 52789? 9 What is the ten thousands digit of 4326097? 2 What is the thousands digit of 4286384? 6 What is the hundred thousands digit of 16614752? 6 What is the units digit of 26715967? 7 What is the thousands digit of 767238? 7 What is the ten thousands digit of 395713? 9 What is the thousands digit of 2610893? 0 What is the millions digit of 9084151? 9 What is the tens digit of 302319? 1 What is the ten thousands digit of 446368? 4 What is the units digit of 375993? 3 What is the units digit of 17162878? 8 What is the thousands digit of 23787537? 7 What is the hundred thousands digit of 4849116? 8 What is the thousands digit of 10687982? 7 What is the tens digit of 1447079? 7 What is the units digit of 3876387? 7 What is the units digit of 24540536? 6 What is the millions digit of 20178400? 0 What is the thousands digit of 98586? 8 What is the thousands digit of 306646? 6 What is the thousands digit of 508708? 8 What is the hundred thousands digit of 973972? 9 What is the ten thousands digit of 19124? 1 What is the thousands digit of 7750? 7 What is the thousands digit of 16307383? 7 What is the hundreds digit of 703520? 5 What is the millions digit of 2318685? 2 What is the hundred thousands digit of 811171? 8 What is the units digit of 417336? 6 What is the units digit of 112757? 7 What is the tens digit of 759937? 3 What is the hundreds digit of 170235? 2 What is the ten thousands digit of 174396? 7 What is the units digit of 7466987? 7 What is the tens digit of 3832590? 9 What is the hundreds digit of 310708? 7 What is the thousands digit of 14979294? 9 What is the hundreds digit of 15288005? 0 What is the ten thousands digit of 464211? 6 What is the units digit of 1896263? 3 What is the hundreds digit of 6583848? 8 What is the thousands digit of 1007612? 7 What is the tens digit of 1791889? 8 What is the tens digit of 20474791? 9 What is the ten thousands digit of 1614372? 1 What is the hundreds digit of 2102? 1 What is the units digit of 8208613? 3 What is the millions digit of 1064294? 1 What is the thousands digit of 1591139? 1 What is the hundred thousands digit of 1942427? 9 What is the hundred thousands digit of 739946? 7 What is the ten thousands digit of 42208? 4 What is the hundred thousands digit of 117820? 1 What is the ten thousands digit of 6804730? 0 What is the hundred thousands digit of 127408? 1 What is the hundreds digit of 767702? 7 What is the thousands digit of 724069? 4 What is the ten thousands digit of 1190713? 9 What is the tens digit of 114116? 1 What is the tens digit of 195410? 1 What is the millions digit of 33810645? 3 What is the millions digit of 2105779? 2 What is the thousands digit of 7248986? 8 What is the hundreds digit of 6737613? 6 What is the hundreds digit of 2041321? 3 What is the tens digit of 3041644? 4 What is the hundred thousands digit of 235743? 2 What is the tens digit of 1539252? 5 What is the millions digit of 16701327? 6 What is the tens digit of 17196967? 6 What is the units digit of 319918? 8 What is the units digit of 247260? 0 What is the thousands digit of 774459? 4 What is the thousands digit of 896104? 6 What is the thousands digit of 7345741? 5 What is the hundred thousands digit of 193877? 1 What is the tens digit of 488050? 5 What is the hundred thousands digit of 1513516? 5 What is the tens digit of 17771556? 5 What is the units digit of 4366949? 9 What is the ten thousands digit of 553527? 5 What is the thousands digit of 1224984? 4 What is the hundred thousands digit of 9955417? 9 What is the thousands digit of 12127? 2 What is the millions digit of 3289858? 3 What is the tens digit of 28189? 8 What is the ten thousands digit of 245987? 4 What is the hundred thousands digit of 7712139? 7 What is the ten thousands digit of 5409024? 0 What is the units digit of 342812? 2 What is the units digit of 1246342? 2 What is the thousands digit of 9313688? 3 What is the thousands digit of 36736? 6 What is the thousands digit of 7730385? 0 What is the ten thousands digit of 142747? 4 What is the thousands digit of 25530903? 0 What is the units digit of 220148? 8 What is the ten thousands digit of 1779014? 7 What is the hundreds digit of 1971613? 6 What is the tens digit of 1605993? 9 What is the thousands digit of 988233? 8 What is the thousands digit of 585652? 5 What is the hundreds digit of 3331098? 0 What is the units digit of 15521554? 4 What is the ten thousands digit of 19625114? 2 What is the units digit of 658200? 0 What is the hundreds digit of 336156? 1 What is the units digit of 1079371? 1 What is the thousands digit of 487710? 7 What is the units digit of 14184017? 7 What is the ten thousands digit of 21728533? 2 What is the ten thousands digit of 16199272? 9 What is the units digit of 6083859? 9 What is the tens digit of 322297? 9 What is the thousands digit of 194320? 4 What is the hundreds digit of 2785820? 8 What is the millions digit of 3220280? 3 What is the thousands digit of 43244747? 4 What is the units digit of 3087082? 2 What is the units digit of 809760? 0 What is the ten thousands digit of 176738? 7 What is the thousands digit of 4240794? 0 What is the hundred thousands digit of 829645? 8 What is the ten thousands digit of 202335? 0 What is the tens digit of 1149170? 7 What is the units digit of 3230691? 1 What is the millions digit of 3539318? 3 What is the hundreds digit of 18108241? 2 What is the ten thousands digit of 183673? 8 What is the tens digit of 60953? 5 What is the tens digit of 16273986? 8 What is the ten thousands digit of 7021839? 2 What is the ten thousands digit of 190637? 9 What is the tens digit of 268298? 9 What is the ten thousands digit of 2465490? 6 What is the hundred thousands digit of 645688? 6 What is the tens digit of 4340566? 6 What is the tens digit of 2630972? 7 What is the millions digit of 1135046? 1 What is the hundreds digit of 25861857? 8 What is the tens digit of 969147? 4 What is the ten thousands digit of 231585? 3 What is the thousands digit of 9977081? 7 What is the ten thousands digit of 4302562? 0 What is the thousands digit of 255650? 5 What is the thousands digit of 14983466? 3 What is the thousands digit of 1914019? 4 What is the thousands digit of 805424? 5 What is the ten thousands digit of 3826356? 2 What is the thousands digit of 1100446? 0 What is the hundred thousands digit of 383949? 3 What is the thousands digit of 1952780? 2 What is the hundred thousands digit of 7516286? 5 What is the tens digit of 3027228? 2 What is the tens digit of 4093987? 8 What is the tens digit of 190939? 3 What is the units digit of 873677? 7 What is the units digit of 63769? 9 What is the ten thousands digit of 349186? 4 What is the tens digit of 492874? 7 What is the millions digit of 6846676? 6 What is the ten thousands digit of 96184? 9 What is the tens digit of 1033197? 9 What is the ten thousands digit of 11345? 1 What is the millions digit of 23786571? 3 What is the ten millions digit of 15299872? 1 What is the ten millions digit of 12694964? 1 What is the units digit of 3490409? 9 What is the ten thousands digit of 19809? 1 What is the thousands digit of 501900? 1 What is the ten thousands digit of 13371928? 7 What is the units digit of 527714? 4 What is the hundreds digit of 1721175? 1 What is the thousands digit of 6951? 6 What is the tens digit of 2286399? 9 What is the units digit of 856841? 1 What is the units digit of 3413? 3 What is the hundred thousands digit of 146897? 1 What is the units digit of 22106187? 7 What is the hundreds digit of 1062179? 1 What is the tens digit of 2443091? 9 What is the thousands digit of 2394215? 4 What is the hundred thousands digit of 610847? 6 What is the units digit of 416520? 0 What is the thousands digit of 615591? 5 What is the hundred thousands digit of 6519041? 5 What is the hundreds digit of 134533? 5 What is the millions digit of 1479236? 1 What is the hundred thousands digit of 14396512? 3 What is the hundreds digit of 600793? 7 What is the tens digit of 53780? 8 What is the thousands digit of 300356? 0 What is the units digit of 1749926? 6 What is the tens digit of 1380032? 3 What is the hundreds digit of 3498791? 7 What is
{ "pile_set_name": "DM Mathematics" }
t(p) = p**3 + 5*p**2 - 6*p - 1. Let n be t(-6). Let x = 61 - 65. Let s be x - -2 - 2/n. Round s to the nearest one hundred thousand. 0 Let w = 659 + -659.381. Round w to 1 dp. -0.4 Let h = -181.1 + 99. Let j = -97 + 9. Let p = h - j. Round p to 0 dps. 6 Let x = -0.4 + 4.4. Let r = x + -3.6. Let j = -0.4016 + r. What is j rounded to three dps? -0.002 Let l = -7 - -6.865. Round l to 1 dp. -0.1 Let t = 117.0174 + -117. Round t to three dps. 0.017 Let h = -22.74 + 3.64. Round h to the nearest integer. -19 Let t(n) = 43*n**2 + 56*n + 13. Let q be t(29). What is q rounded to the nearest 1000? 38000 Let h = 6.7029 - 6.7. Round h to four decimal places. 0.0029 Let r(v) = 2384*v**2 + 13*v + 13. Let o be r(-9). What is o rounded to the nearest ten thousand? 190000 Let s(x) be the second derivative of -3*x**3 + 2*x**2 - x. Suppose -26 + 2 = -3*c. Let y be s(c). What is y rounded to the nearest 100? -100 Let w = -1.32 - 0.28. Round w to zero decimal places. -2 Let y(g) = g + 3. Let k be y(-8). Let p = -2 + k. Let u be (-2)/p - 188998/(-7). Round u to the nearest ten thousand. 30000 Let a = -0.5 + 0.65. Let c = 0.14999979 - a. Round c to 7 decimal places. -0.0000002 Let i = 17 - 42. Round i to the nearest ten. -30 Suppose -7*u = 19724890 - 6774890. What is u rounded to the nearest 1000000? -2000000 Suppose -1388318 = 4*p + 2*d, 0*p + p + 347087 = d. Let u = p - -193082. What is u rounded to the nearest 10000? -150000 Let z = -18.34 - -18.339257. Round z to 4 decimal places. -0.0007 Let n(x) = -11600002*x - 2. Suppose -4*w + 1 = i + 7, 0 = -5*w + i - 3. Let l be n(w). Round l to the nearest 1000000. 12000000 Let n = 0.01 + 0.29. Let h = -244.302 + 244. Let s = h + n. What is s rounded to two dps? 0 Let q = 0.09 + -0.04. Let x = q + -0.45. Let y = 0.4032 + x. What is y rounded to three dps? 0.003 Let g = 0.0500027 - 0.05. What is g rounded to 6 dps? 0.000003 Let v(j) = -754*j + 6. Let u be v(4). Let f = u + 7310. Round f to the nearest one thousand. 4000 Let i = -2.2 - -4. Let h = i + -1.799993. What is h rounded to six decimal places? 0.000007 Let q = -37.00064 - -37. Round q to four dps. -0.0006 Let b = -661.0873 - -0.0873. Let u = 661.0000267 + b. What is u rounded to 6 decimal places? 0.000027 Let l = 175 + -173.67. Round l to 1 dp. 1.3 Suppose -8 = -2*j - 2*j. Suppose 3 + 9 = -j*x. Let g be (-37 - x/(-2))*-5. What is g rounded to the nearest 100? 200 Let m = -8.5 + 8. Let b = m - 4.5. Let f = b - -10.8. What is f rounded to the nearest integer? 6 Let u = -1.0011 - -0.5874. Let a = u - -0.42. Round a to 3 dps. 0.006 Let i = -2.4292 - -1470140.4292. Let f = i + -1470138.800007. Let x = f - -0.8. What is x rounded to 6 decimal places? -0.000007 Let f = 8528.1421 - 8582.142037. Let l = 54 + f. What is l rounded to five dps? 0.00006 Let s = 15.70735 - 15.7. What is s rounded to 3 decimal places? 0.007 Suppose q - 3*q + 4 = 0. Suppose -q*n - 3*n = 65. What is n rounded to the nearest ten? -10 Let f = -14.7 + -0.3. Let g = -9 - f. Let n = g + -5.9958. Round n to three dps. 0.004 Let q be (-1684)/(-6) + (-8)/12. What is q rounded to the nearest 100? 300 Suppose 0 = 5*a - 5*l - 12760, -a - a + 5*l = -5110. Round a to the nearest one hundred. 2600 Let l = 75.2 + 3. Let d = 95.04 - 0.04. Let z = l - d. What is z rounded to 0 decimal places? -17 Let g = 1154 + -1150.676. Let m = g + 0.096. Let c = m + -4. Round c to 1 dp. -0.6 Let k = 1.5 + -1.524. What is k rounded to two dps? -0.02 Let w = 135.8 + -150. What is w rounded to zero decimal places? -14 Let i be (-1 + -513)/(6/33). Let f = i - -1457. What is f rounded to the nearest one hundred? -1400 Let k(b) = b - 8. Suppose -3 - 15 = -3*f. Let p be k(f). Let x = 0 - p. What is x rounded to the nearest ten? 0 Let a = 0.009 - -4.191. What is a rounded to 0 dps? 4 Let y = -13 + 106. Let t = -32 - y. Let d = t + 124.99929. Round d to 4 dps. -0.0007 Let w = 5423 - 9010. Let t = w - -5127. What is t rounded to the nearest one hundred? 1500 Suppose -3*u = -8*u. Suppose u = 2*c + 3*c - 8600000. Round c to the nearest 100000. 1700000 Let z = 98.00000112 - 98. Round z to seven decimal places. 0.0000011 Let n = -332934.0900051 + 332938.49. Let r = -4.4 + n. What is r rounded to 6 decimal places? -0.000005 Suppose -24 + 9 = -2*v + 3*s, 4*v = -2*s + 22. Let k = v + -6. What is k rounded to 1 decimal place? 0 Let s = -28 + 15. Let j = 17.2075257 - 4.2075322. Let o = s + j. Round o to six dps. -0.000007 Let t = -23 - -22.99968. Round t to 3 dps. 0 Let x = -0.157 - -0.096. What is x rounded to two dps? -0.06 Let g = 6 + -17. Let f be 30/165 - 97899998/g. Round f to the nearest 1000000. 9000000 Let x = -0.1 + 5.1. Let a = 4.8 - x. Round a to zero dps. 0 Let d be -73*2/((-24)/9 - -2). Round d to the nearest ten. 220 Let s(i) = 8001*i**2 - 8*i - 20. Let c be s(10). Round c to the nearest one million. 1000000 Let q = 52.69 + -53. What is q rounded to one decimal place? -0.3 Let x(l) = 2*l**2 - 4*l**2 + 4*l - 8 + 5*l**2 - 2*l**2. Let g be x(12). Suppose 5*c + 953 = q, -c = 6*q - 4*q + g. Round c to the nearest one hundred. -200 Let o(s) = 2*s + 1 + 2*s**2 + 2*s**2 - 2*s**2 + 3*s**2. Let p be o(-2). Round p to the nearest ten. 20 Let i = 1 + -13. Let o = i - -11.77. What is o rounded to 1 dp? -0.2 Suppose 3*b - 294 = 246. Suppose 6980 - b = 4*t. What is t rounded to the nearest one thousand? 2000 Let t be (-1*3 - -2) + -5. Let i = 8 + t. Suppose i*y = 2*l + 129990, 5*y + 86307 = -l + 21282. Round l to the nearest 10000. -70000 Let g = 384.000522 + -384. Round g to five dps. 0.00052 Let o = 0.06187662 - -0.23812343. Let m = -0.3 + o. Round m to seven dps. 0.0000001 Let o(x) be the first derivative of 1 - x**2 - x - 65/3*x**3. Let a be o(-3). What is a rounded to the nearest 100? -600 Let p = 171.2 - 165.216. Let u = p + -6. Let l = u + 0.01599906. What is l rounded to seven dps? -0.0000009 Let y = 894.50007 + -895. Let u = 0.5 - 0. Let i = u + y. Round i to 4 dps. 0.0001 Suppose 0 = 3*l - 8*l - 290000. What is l rounded to the nearest 10000? -60000 Let s(k) = 186*k**2 - 2*k + 16. Let w be s(11). Round w to the nearest 1000. 23000 Let r = -2.86 + 2.4. Let s = 937 + -948.86. Let k = s - r. Round k to zero dps. -11 Let c = 39 - 39.85. Round c to one dp. -0.9 Suppose 4*o = o - 3, -5*o = 2*z - 3979995. Round z to the nearest 100000. 2000000 Let w = 0.501 + -0.48. Let r = w + 0.181. Let k = -0.2147 + r. What is k rounded to three decimal places? -0.013 Let m(f) = -76983*f**2 - 9*f + 17. Let o be m(12). Let j = -18623589 - o. Let i = -5862054 + j. What is i rounded to the nearest 1000000? -13000000 Let o = 0.03 + -0.01. Let y = -16 + 15.987. Let w = y + o. Round w to 2 decimal places. 0.01 Suppose 3608 + 16017 = j. Let b = j + 230375. What is b rounded to the nearest 100000? 300000 Let k = -20 + 21.8. Let g = -27.9 - -19.6. Let x = k + g. Round x to 0 dps. -7 Let f = -127442.88081 + 127442. Let a = 0.88 + f. Round a to four dps. -0.0008 Let k = -5.1 - -1.1. Let c = -4.0000004 - k. Round c to 7 decimal places. -0.0000004 Let m(d) = 964*d**2 + 9*d - 3. Suppose -2*y + 0*o - 16 = 2*o, -3*y = -o + 28. Let a be m(y). Round a to the nearest ten thousand. 80000 Let t = -36 - -36.0002. Round t to 3 dps. 0 Let v(j) = -j**3 - 4*j**2 - 4*j - 2. Let x be v(-2). Let o be (-16)/(22496/11250 + x). Let k be (o/(-3))/(2/(-1720)). Round k to the nearest 1000000. 13000000 Let o = 205.1 - 205.5081. Let k = o - -0.41. Round k to three dps. 0.002 Let d = -155170.670078 - -155171. Let n = 7.5 + -7.17. Let l = d - n. What is l rounded to five dps? -0.00008 Let z = 206381.999997 + -206374. Let y = z - 8. Round y to five dps. 0 Let b = 0.18 + -4.88. What is b rounded to the nearest integer? -5 Let v = 76 - 150. Let f = 73.967 + v. Let n = 0.613 + f. Round n to 1 decimal place. 0.6 Let x = -0.03 + 0.03055. Round x to 4 dps. 0.0006 Suppose -s = -6*s + 255. Let u = s + -88. What is u rounded to the nearest 10? -40 Suppose -4*p + k + 733 = 0, 0*p - 2*p + 4*k + 370 = 0. Let h = -393 + p. Round h to the nearest one hundred. -200 Let u be 70003 + 9/(-6 - -3). What is u rounded to the nearest ten thousand? 70000 Let l = 1238320780.3600001 - 1238309747.34. Let m = -11033 + l. Let a = m + -0.02. What is a rounded to six dps? 0 Let q = 0.65 + -0.649938. Round q to five decimal
{ "pile_set_name": "DM Mathematics" }
ct the terms in -4*d + 4*d - 1027*d**3. -1027*d**3 Collect the terms in -6*p + 28*p + 2*p - 19*p + 7. 5*p + 7 Collect the terms in 8*s**3 - 8*s**2 + s + 19*s**3 + 4*s**3. 31*s**3 - 8*s**2 + s Collect the terms in 143*g**2 - 46*g**2 - 6*g**2. 91*g**2 Collect the terms in -250*w + 112*w + 117*w. -21*w Collect the terms in -11630277*j**2 + 518*j**3 + 11630277*j**2. 518*j**3 Collect the terms in -404*j + 241*j + 101*j + 216*j. 154*j Collect the terms in -15*u + 14*u + 4*u - 178 - 7*u. -4*u - 178 Collect the terms in 153666*d**3 - 76833*d**3 - 76829*d**3. 4*d**3 Collect the terms in 33*u**2 - 34*u**2 + 2 - 3. -u**2 - 1 Collect the terms in -812*t**3 + 407*t**3 + 400*t**3. -5*t**3 Collect the terms in -19991*d**3 + 6664*d**3 + 6673*d**3 + 6657*d**3. 3*d**3 Collect the terms in 14*r**3 - 6*r**3 - 129*r - 73*r + 12*r**3. 20*r**3 - 202*r Collect the terms in -t**2 - 3*t - 20536 + 20536. -t**2 - 3*t Collect the terms in -427357*z + 142453*z + 142453*z + 142446*z. -5*z Collect the terms in 1605 - 182*c**2 + 177*c**2 - 1612. -5*c**2 - 7 Collect the terms in -13970*p + 27929*p - 13990*p. -31*p Collect the terms in -x - 3*x + 3*x + 109*x**3 + x. 109*x**3 Collect the terms in -1045*q**2 + 289 - 289. -1045*q**2 Collect the terms in -39*m**2 + 3901*m**3 - 3906*m**3 + 20*m**2 + 19*m**2. -5*m**3 Collect the terms in 36*l**2 + 299*l**2 + 9*l**2. 344*l**2 Collect the terms in -1247185 + 1247185 + 217*g**2. 217*g**2 Collect the terms in 45*v**2 + 91*v**3 - 46*v**2 + 63*v**3. 154*v**3 - v**2 Collect the terms in 16*t + 27*t - 98*t + 18*t. -37*t Collect the terms in 3247 + 8*s - 3247. 8*s Collect the terms in -17*y**2 - 3*y - 5 + 42*y**2 - 23*y**2 - 10. 2*y**2 - 3*y - 15 Collect the terms in -109 + 9*x - 955 + 0*x. 9*x - 1064 Collect the terms in 55*s**3 - 927*s**3 - 1253*s**3. -2125*s**3 Collect the terms in 616534*h**2 - 616534*h**2 + 3*h**3. 3*h**3 Collect the terms in -20*b + 4 + 7 + 14*b - 9. -6*b + 2 Collect the terms in 8*t**2 - 5*t**2 - 3*t - 2*t**3 + 3*t**3 - 3*t**2. t**3 - 3*t Collect the terms in -156 + 454 - 151 + 10*k - 147. 10*k Collect the terms in -6 + 1 + 5 - 841*x + 804*x. -37*x Collect the terms in 3*d**3 - 100822893*d**2 + 100822893*d**2. 3*d**3 Collect the terms in -184802 + 184802 - 79*w. -79*w Collect the terms in -676*t - 680*t - 678*t + 5 + 2035*t. t + 5 Collect the terms in 221*w - 67*w - 4 + 207*w. 361*w - 4 Collect the terms in -9*i + 10*i - 15*i - 10*i - 11*i. -35*i Collect the terms in -17*x**2 + 4*x**2 + 39*x**2 + 21*x**2 + 8*x**2. 55*x**2 Collect the terms in -h + 208*h**2 - 85*h**2 - 74*h**2 - 48*h**2 + h. h**2 Collect the terms in 6342*q**2 - 3316*q**2 - 3025*q**2. q**2 Collect the terms in 188*x + 191*x - 562*x + 191*x. 8*x Collect the terms in -1369 + 1369 + 32*c - 31*c. c Collect the terms in -23*l**2 + 6534 + 5*l**2 - 6532. -18*l**2 + 2 Collect the terms in -1855*t + 231*t**3 - 1858*t + 3711*t. 231*t**3 - 2*t Collect the terms in -z**3 - 28 + 4*z**3 - 29*z + 28 - 2*z**3. z**3 - 29*z Collect the terms in -3677*i + 1859*i + 1828*i. 10*i Collect the terms in 13193*z + 13195*z - 26403*z. -15*z Collect the terms in 11*p - 2722*p**3 - 19*p + 8*p. -2722*p**3 Collect the terms in 62 + 14*w**3 - 4*w**3 - 7*w**3 - 4*w**3. -w**3 + 62 Collect the terms in -21443*v**2 - 21435*v**2 + 42897*v**2. 19*v**2 Collect the terms in -929748 - 4*w + w + w. -2*w - 929748 Collect the terms in 29*v**3 + 4637 + 4638 - 9275. 29*v**3 Collect the terms in 117*c + 112*c**2 + 125*c - 242*c - 119*c**2. -7*c**2 Collect the terms in -585 - 197*w + 199*w + 585. 2*w Collect the terms in 12*d**3 - 244*d**2 - 776*d**2 - 771*d**3. -759*d**3 - 1020*d**2 Collect the terms in -120947 + 120947 + 2322*h. 2322*h Collect the terms in 4337*f - 8898*f + 5901*f. 1340*f Collect the terms in -11266*w**3 - 11536*w**3 + 34333*w**3 - 11532*w**3. -w**3 Collect the terms in 7*s + 1427*s**2 - 4*s**3 - 1427*s**2. -4*s**3 + 7*s Collect the terms in 5896*i + 89240*i + 31669*i - 18967*i. 107838*i Collect the terms in 9240*r**2 + 437*r**3 - 9240*r**2. 437*r**3 Collect the terms in -25832*n + 12914*n - 4*n**3 + 12918*n. -4*n**3 Collect the terms in -2*k**3 - 286*k**2 - 278*k**2 + 116*k**2 + 448*k**2. -2*k**3 Collect the terms in 221*u**2 - 958*u + 958*u. 221*u**2 Collect the terms in -11 + 2 - 308*w**2 + 2*w + 9 - 111*w**2. -419*w**2 + 2*w Collect the terms in -1125*v + 4509*v - 1124*v - 1128*v - 1139*v. -7*v Collect the terms in -2*h**2 + 457 - 1424 + 464 + 503. -2*h**2 Collect the terms in -33*w - 21*w + 46*w - 16*w. -24*w Collect the terms in 2370*d**2 - 791*d**2 - 791*d**2 - 788*d**2 - 258*d**3. -258*d**3 Collect the terms in 3 + 14838*b**2 - 14837*b**2 + 1 - 4. b**2 Collect the terms in -240 + 240 + 1076*b. 1076*b Collect the terms in 38*x**2 - 19*x**2 + 222*x**2. 241*x**2 Collect the terms in -37*g**2 + 37*g**2 + 1747*g**3. 1747*g**3 Collect the terms in -3606*n**3 - 54*n**2 + 10791*n**3 - 3579*n**3 - 3603*n**3 + 54*n**2. 3*n**3 Collect the terms in -2383 - 2376 + 4759 - 16*r. -16*r Collect the terms in 577*k**2 - 178*k**2 - 215*k**2 - 188*k**2. -4*k**2 Collect the terms in -117 + 117 + 10227*n**2 - 5116*n**2 - 5112*n**2. -n**2 Collect the terms in 2*u + 2002*u**2 - 3092*u**2 + 1089*u**2. -u**2 + 2*u Collect the terms in 202*f + 131*f - 2 + 38*f + 59*f. 430*f - 2 Collect the terms in 16177*y + 16176*y - 32353*y - 4*y**2. -4*y**2 Collect the terms in -103*q**2 + 2120091*q - 2120091*q. -103*q**2 Collect the terms in -50*f - 240 - 37*f + 240. -87*f Collect the terms in -11955*h**3 + 5984*h**3 + 5910*h**3. -61*h**3 Collect the terms in -283 + 542 + 18*z - 259. 18*z Collect the terms in -67*k**2 - 225 + 225. -67*k**2 Collect the terms in -2963*r**2 - 5 + 5 + 7970*r**2. 5007*r**2 Collect the terms in -15*x**2 - 314 - 8*x**2 + 649 - 335. -23*x**2 Collect the terms in 124*o**2 + 71*o**2 - 1537*o**2. -1342*o**2 Collect the terms in -559*s**2 + 192*s**2 + 175*s**2 + 173*s**2. -19*s**2 Collect the terms in 3*g**3 + 257*g**2 - 131*g**2 - 126*g**2. 3*g**3 Collect the terms in 10*h**2 - 24 + 78 - 4*h**2. 6*h**2 + 54 Collect the terms in 1517*b**2 - 1548*b**2 + 764*b**2. 733*b**2 Collect the terms in 12169*u**3 + 21311*u**3 - 7696*u**3. 25784*u**3 Collect the terms in 327 - 196 - 66 - q**2 - 65. -q**2 Collect the terms in -417*o**3 + 913*o**3 - 2*o**2 - 305*o**3. 191*o**3 - 2*o**2 Collect the terms in 85 + 36*d**2 - 35 - 32 - 35*d**2 - 18. d**2 Collect the terms in -k**2 - 6*k**2 + 76*k + 14*k**2 + 13*k**2. 20*k**2 + 76*k Collect the terms in -190*c**2 + 372*c**2 - 183*c**2 - 15 - 24*c. -c**2 - 24*c - 15 Collect the terms in -25232 + 75698 - 25233 - 25233 - 20*q**2. -20*q**2 Collect the terms in 2*u**2 + 513*u**3 + 1654*u**3 + 58*u**3. 2225*u**3 + 2*u**2 Collect the terms in 294*k**2 - 171*k**2 + 160*k**2 + 153*k**2. 436*k**2 Collect the terms in -26*y**2 - 34*y**2 + 20*y + 49*y**2 - 20*y. -11*y**2 Collect the terms in -184*y**3 - 18*y + 6*y + 36*y**3 + 12*y. -148*y**3 Collect the terms in -180*g - 169*g - 184*g - 144*g + 562*g. -115*g Collect the terms in -109*p**2 + 243*p**2 - p - 97*p**3 - 134*p**2. -97*p**3 - p Collect the terms in 36*u + 642*u**2 + 29*u + 30*u - 95*u. 642*u**2 Collect the terms in 35 + 380 + 741*j**2 - 740*j**2. j**2 + 415 Collect the terms in 1274*z - 1274*z + 17*z**3 - 55*z**3. -38*z**3 Collect the terms in 108*f + 505*f - 2819*f. -2206*f Collect the terms in 2538*b**2 - 4675*b**2 + 2124*b**2. -13*b**2 Collect the terms in -5205*i**2 - 5226*i**2 + 15658*i**2 - 5229*i**2. -2*i**2 Collect the terms in -38*x + 38*x - 21*x**2 - 2*x**3. -2*x**3 - 21*x**2 Collect the terms in 694*d**2 - 694*d**2 - 8*d**3 + 2*d + 24*d - 26*d. -8*d**3 Collect the terms in 479*n - 1942*n + 366*n - 11377*n. -12474*n Collect the terms in 2*m**2 - 52354*m - 52352*m - 52356*m + 157062*m. 2*m**2 Collect the terms in 4*p + 5*p**2 + 1208 - 2*p - 2*p. 5*p**2 + 1208 Collect the terms in 1 + 134*o**2 + 153*o - 2 - 79*o - 74*o. 134*o**2 - 1 Collect the terms in 39822*r**3 - 19977*r**3 - 19970*r**3. -125*r**3 Collect the terms in 261931 - 523857 - 6*w + 261926. -6*w Collect the terms in -68295 + 68295 + 12*x. 12*x Collect the terms in 1300*p + 1200*p - 353*p. 2147*p Collect the terms in -21*u - 1 - 17*u - 18*u + 3 + 59*u. 3*u + 2 Collect the terms in -60 + 121 + 2*w + 98 + 29. 2*w + 188 Collect the terms in -23
{ "pile_set_name": "DM Mathematics" }
*n - 60. Let k(d) = 40*d - 38. Let s(l) = 30*k(l) - 19*t(l). What is s(w(q))? -3*q + 66 Let j(i) be the first derivative of i**5/60 + 2*i**3/3 + 7*i - 224. Let a(k) be the third derivative of j(k). Let x(b) = 2*b**2 - 21. What is x(a(g))? 8*g**2 - 21 Let v(d) = 10*d - 2. Let x(u) be the first derivative of u**4/12 - 54*u - 74. Let j(a) be the first derivative of x(a). Calculate v(j(n)). 10*n**2 - 2 Let i(l) = 3*l - 2. Let f(b) = 458410*b. Determine f(i(n)). 1375230*n - 916820 Let w(m) = -3*m. Let u(g) = -5304*g + 442. Let t(y) = -11*y + 1. Let l(h) = -442*t(h) + u(h). Determine l(w(r)). 1326*r Let g(p) = -3*p**2. Let s(k) = 239*k - 545. Let b(y) = -287*y + 545. Let r(w) = 5*b(w) + 6*s(w). Give g(r(u)). -3*u**2 - 3270*u - 891075 Let t(v) = -v. Suppose -2*w + 65 = -n, 2*w + 2*w - 151 = -5*n. Let a(j) = 654*j - 325*j + w*j**2 - 329*j. Calculate t(a(i)). -34*i**2 Let f(w) = -8417617*w**2. Let z(b) = 7*b**2. What is f(z(d))? -412463233*d**4 Suppose 0 = -10*q + 11 + 29. Let f(s) = -7*s - 4*s + q*s + s. Let o(c) = -c + 22. Let d(k) = -2. Let b(y) = 22*d(y) + 2*o(y). Give f(b(n)). 12*n Let x(f) = -2*f**2 + 23. Suppose d + 3*d = 52. Let o(u) = 13*u - d*u + u. Determine x(o(y)). -2*y**2 + 23 Let k(a) = 19*a. Let c(u) = 7*u. Let n(l) = 8*c(l) - 3*k(l). Let f(v) = -v + 17. Determine n(f(s)). s - 17 Let a(d) = d - 138. Let x(l) = l - 15212. Calculate a(x(m)). m - 15350 Let o(s) = 6*s**2 - 47. Let m(z) = 5*z**2 - 48. Let f(r) = -5*m(r) + 4*o(r). Let i(j) = 5397856*j + 2*j**2 - 5397856*j. Calculate i(f(w)). 2*w**4 - 208*w**2 + 5408 Let g(x) = -2*x**2. Let f(r) = r + 1. Let i(h) = -55*h - 2. Let v(z) = z**2 + 34*z + 1. Let c be v(-34). Let w(m) = c*i(m) + 4*f(m). Determine w(g(t)). 102*t**2 + 2 Let t(o) = -15*o**2. Let c(b) be the second derivative of -23*b**3/6 - 1979*b. What is t(c(j))? -7935*j**2 Let b(j) = 228 - 46578*j + 23298*j + 23288*j. Let c(m) = m**2. Calculate b(c(f)). 8*f**2 + 228 Let k(h) = -7*h**2 + 5*h + 5. Suppose 20*l - 24*l + 40 = 0. Let i(p) = 3*p**2 - 2*p - 2. Let q(z) = l*i(z) + 4*k(z). Let d(v) = -50*v. Determine d(q(g)). -100*g**2 Let a(f) be the second derivative of 0*f**2 - 4*f + 1/12*f**4 - 4/3*f**3 - 6. Let u(l) = 3*l. Give u(a(j)). 3*j**2 - 24*j Let v(q) = 2655190*q. Let t(g) = 17*g**2. Calculate t(v(z)). 119850576913700*z**2 Let s(p) = -6*p. Let v be 8486/8 + (-60)/80. Let w(i) = -v*i + 2123*i - 1061*i. What is s(w(t))? -12*t Let v(z) = 2*z**2. Let b(r) = -295*r**2 + 45*r. Let q(p) = -32452*p**2 + 4941*p. Let i(j) = 549*b(j) - 5*q(j). Determine v(i(o)). 186050*o**4 Let l(f) = -2*f. Let a(c) = -26606*c + 19414. Calculate a(l(j)). 53212*j + 19414 Let m(n) be the third derivative of n**4/24 + 181*n**2 + 1. Let a(i) = 339*i**2 + 3*i. Determine m(a(k)). 339*k**2 + 3*k Let t(l) = -112746*l. Let b(s) = -14*s. Calculate t(b(q)). 1578444*q Let m(t) = 6*t**2. Let b = 26 - 12. Let s(p) = -149*p + 149*p + 1 - b*p**2. Give s(m(z)). -504*z**4 + 1 Let b(k) = -6*k. Let q(v) be the first derivative of 688*v**2 + 731. Determine q(b(u)). -8256*u Let p(t) = -t. Let l(a) = 6*a**2 + 36*a + 49. Let i be l(-17). Let v(c) = 1 - i*c**2 + 1396*c**2 - 1. What is p(v(f))? -225*f**2 Let k(l) = 2*l. Let d(z) = -11217*z**2 - 119. Let i(b) = -3739*b**2 - 42. Let f(a) = 6*d(a) - 17*i(a). Calculate k(f(h)). -7478*h**2 Let a(l) = 3*l**2. Let m(t) = 2698331*t. Determine m(a(h)). 8094993*h**2 Let t(j) be the third derivative of 7*j**5/12 + j**4/12 - 3*j**2 + 94. Let u(h) = -11*h. Give t(u(v)). 4235*v**2 - 22*v Let n(b) = -3*b**2 - 5. Let j(k) be the third derivative of 7*k**5/20 - 4761*k**2. Give j(n(o)). 189*o**4 + 630*o**2 + 525 Let n(q) = -2*q. Let s(c) = -348 - 1232*c**2 - 363 + 711. What is s(n(l))? -4928*l**2 Let j(v) = -2*v. Let s(b) = 578019*b + 622. Determine s(j(t)). -1156038*t + 622 Let r(m) = -115*m - 18. Let i(k) = -211*k - 33. Let b(v) = 6*i(v) - 11*r(v). Let g(u) = -4 + 0 + 0*u + 10*u. Calculate g(b(z)). -10*z - 4 Let y(a) = 11*a. Let h = -156 - -155. Let c(v) = 18*v**2 - 5*v. Let p(z) = -3*z**2 - z. Let u(j) = h*c(j) + 5*p(j). Calculate u(y(d)). -3993*d**2 Let s(t) = 3434*t**2. Let i(p) = 53692*p**2 - 2*p. Give i(s(l)). 633155178352*l**4 - 6868*l**2 Let n(u) = 2*u**2. Let r(f) = -267*f - 40 + 72*f + 150*f. Let i(x) = -1 + 0 + 2*x - 3*x. Let s(y) = -120*i(y) + 3*r(y). What is s(n(q))? -30*q**2 Let x(j) = j. Let n(f) = -1952*f + 20. Let i(b) = -652*b + 6. Let c(y) = -10*i(y) + 3*n(y). What is x(c(h))? 664*h Let y(q) be the third derivative of q**5/30 - 11*q**4/24 - 9*q**2. Let z(r) be the second derivative of -r**4/12 + 4*r - 4. Calculate z(y(p)). -4*p**4 + 44*p**3 - 121*p**2 Let h(p) = 5*p**2 + 48*p. Let t(u) = 1018*u - 1. Calculate h(t(m)). 5181620*m**2 + 38684*m - 43 Let p(w) = -151*w**2 - 16 + 80 - 18 - 21 - 23. Let d(y) = 3*y. Determine d(p(z)). -453*z**2 + 6 Let z(g) = -4*g. Let k(w) = 535238*w**2. Determine k(z(r)). 8563808*r**2 Let x(a) = -6*a + 3. Let m(b) = -b**2 + 23*b + 2. Let c be m(23). Let p(y) = 14*y**2 + 10*y**c - 25*y**2. Determine p(x(r)). -36*r**2 + 36*r - 9 Let l(k) = -k. Let f(i) be the first derivative of -499*i**3/3 + 2134. Calculate l(f(d)). 499*d**2 Let s(u) = -58*u. Let y(c) = -2*c**2 + 2. Let w(z) be the third derivative of -13*z**5/60 + 2*z**3 - 33*z**2. Let t(o) = -w(o) + 6*y(o). Calculate s(t(j)). -58*j**2 Let j(d) = -44592085*d. Let t(k) = -7*k**2. What is j(t(b))? 312144595*b**2 Let q(j) = 2*j. Let v(w) = 22032358*w**2. Calculate v(q(p)). 88129432*p**2 Let l(z) = -z**2 - 16 + 17714*z + 16 - 17714*z. Let s(j) = 1417*j**2. Calculate s(l(p)). 1417*p**4 Let b(r) be the second derivative of r**3/6 + 846*r + 2. Let u(g) = 412*g. Give b(u(o)). 412*o Let q(n) = -3*n**2. Let s(c) = -c**3 - 5*c**2 + 8*c + 15. Let z be s(-6). Let k(j) be the first derivative of 5 + 7*j**z - 2 - 26. Calculate q(k(h)). -1323*h**4 Let x(n) = -43*n. Let p(f) = -30*f - 6. Let g(l) = 43*l + 8. Let z(k) = -3*g(k) - 4*p(k). Give z(x(a)). 387*a Let v(h) = -16*h**2. Let x(w) be the second derivative of 367*w**3/6 + 1548*w. What is x(v(s))? -5872*s**2 Let g(x) = 2*x. Let l(t) = 1627*t**2 + 458*t + 2. Give g(l(i)). 3254*i**2 + 916*i + 4 Let t be 222 - (3 - 10 - -14). Let w(h) = -189*h**2 + t*h**2 + 156*h**2. Let k(q) = q**2. Give w(k(i)). 182*i**4 Let g(t) = -3*t + 12. Let h(m) = -34170*m**2. Determine g(h(c)). 102510*c**2 + 12 Let s(v) = 13*v. Let y(g) = 46*g. Let j(p) = -14*s(p) + 4*y(p). Let q(i) = -183*i. Calculate q(j(z)). -366*z Let a(t) = -14*t**2 - 1713*t. Let n(s) = 4*s**2 - 1. Calculate a(n(z)). -224*z**4 - 6740*z**2 + 1699 Let u(o) = 4*o. Let n(r) = -234*r + 11177. Give n(u(c)). -936*c + 11177 Let f(x) be the first derivative of 2*x**3/3 + 4. Let n(j) = -16*j - 13*j - 14*j + 69*j - 12*j. Give f(n(g)). 392*g**2 Let u(i) be the third derivative of 5*i**4/12 - 7*i**2 - 2*i - 2. Suppose 0 = 2*m - 0*m - 10. Let q(f) = -3*f**2 - 5 + 6*f**2 + m. Determine q(u(n)). 300*n**2 Let v(h) = -15*h. Let q(x) = -530398*x**2 - 7. Calculate v(q(c)). 7955970*c**2 + 105 Let h(u) = 7*u**2. Let k(j) = 205 + 199*j**2 + 190 - 395. Calculate h(k(l)). 277207*l**4 Let s(o) = o**2. Let q(a) = -83 + 166 + 3*a + 43*a - 83. Give q(s(x)). 46*x**2 Let y = 63 - -216. Let c(d) = -555*d**2 + 277*d**2 + y*d**2. Let a(p) = -37*p - 6. Let i(n) = 1. Let w(f) = -a(f) - 6*i(f). Determine c(w(v)). 1369*v**2 Let p(v) = 76*v. Suppose 8*x + 1624 = 22*x. Let l(z) = -2*z**2 + x*z - 116*z. Calculate p(l(w)). -152*w**2 Let s(f) = 2*f. Suppose 3*m = 5*m - 4*k - 10, 0 = 3*k + 3. Suppose -15*l + 53 = 23. Let h(v) = -m*v**2 - 8*v**l + 13*v**2 - 4*v - 4*v**2. Determine h(s(d)). -8*d**2 - 8*d Let w(h) = -h**2. Suppose -3*p = 3*v, -2*v - v - 4*p = 2. Let r(j) = -12*j**2 + 9*j**2 - 15*j**2 - 7*j**v. Determine w(r(l)). -625*l**4 Let h(v) = -2067*v**2. Let w(p) be the third derivative of p**5/30 - 107*p**2 - 5. What is w(h(b))? 8544978*b**4 Let c(f) = f**2. Let i be (-4 - 58/2)*(-2)/6. Let r = -29 - i. Let j(d) = -28*d**2. Let p(w) = -w**2. Let u(h) = r*p(h) + 2*j(h). Determine u(c(t)). -16*t**4 Let q(r) = 7*r**2. Let i(j) = -5*j + 2. Let g(n) = -44*n + 22. Let f(v) = g(v) - 12*i(v). What is q(f(c))? 1792*c**2 - 448*c + 28 Let w(k) be the second derivative of -5*k**3 + k**2 - 7*k - 8. Let b(h) = -700 - 704 + 1404 + 3*h**2. Determine w(b(m)). -90*m**2 + 2 Let q(n) = 3*n**2. Let l(d) = 155 + 356*d**2 - 7 -
{ "pile_set_name": "DM Mathematics" }
*d + 79 = -89. Let k be (-39)/(-18) - 4/d. Solve k + 18 = -c*u, 0 = 4*b - 2*u + 8 for b. -4 Let i(q) = -q**3 - 7*q**2 - 11*q - 5. Let n be i(-4). Let s be -1 + (9/(-3) - n - 3). Solve -4 = -v, 0 = -3*a + s*v - 3 + 1 for a. 2 Suppose -f - 8*u + 3*u + 5 = 0, 9 = f + u. Solve 2*m = -5*i - 11, -4*i - 8 - f = -3*m for m. 2 Let n be ((-6)/5)/(6/(-20)). Suppose 0 = 4*j - 12, -2*i + j + j - 38 = 0. Let o = -11 - i. Solve o*p + 4*x = -19, -3 = 2*p - n*x - 1 for p. -3 Let n(z) = 2*z**3 - 9*z**2 - 5*z - 4. Let j be n(5). Let d = -2 - j. Suppose -a - 9 = -4*r, -6*a = -a + d*r - 65. Solve 5*f + u + 6 = -a, -4*f = 2*u + 10 for f. -4 Let o be (-1)/(-5) + 3/(-15). Suppose o*l = 9*l - 243. Solve 3*g - m = -11, 5*g + l = -4*m + 3 for g. -4 Let s = 11 - 9. Suppose c = -5*d + 2 - 7, 5*c + s*d = 21. Solve b - c*v - 9 = -2*b, -5*v = -b + 13 for b. -2 Let y be (1 - 3) + 2 + 3. Suppose -y*o + 61 = 1. Let u be -12*(1 + ((-27)/6 - -3)). Solve -5*g = -o, u + 10 = 5*c + 4*g for c. 0 Suppose 2*v + 10 = 7*v. Suppose -5*n = -4*n - 20. Let q be n/8*6/5. Solve v*g + g = -2*m - 3, -4*m - 9 = q*g for g. 1 Suppose 3*w + 30 = 5*w. Suppose 7 = -i + w. Suppose r - 4*r + 5*v = i, -3*r + 3*v = 0. Solve 8*f = -r*c + 3*f + 40, 0 = -4*f + 16 for c. 5 Let w(c) = c**2 + 8*c + 20. Let m be w(-5). Solve m*b - 5 = 0, f + 3*f = -b + 5 for f. 1 Let w be ((-15)/9)/((-5)/6). Suppose w*y = 2*y + 3*y. Solve -3*b - 5*o - 9 = 0, -4*b - 4*o + y*o - 12 = 0 for b. -3 Let s(u) = u**2 + 7*u - 3. Let y be s(-6). Let j be 6/(-8) - (-1504)/128. Let n = j + y. Solve 0 = 5*q - 20, -3*a - n*q + 0 = 1 for a. -3 Let x = 277 + -277. Let z(f) = 3*f**3 + 2*f**2 - 2*f - 1. Let a be z(-2). Let i = a - -25. Solve -c + 0*g + 3*g = 10, x = -4*g + i for c. -1 Let k = 78 + -52. Suppose -k = -5*g + 4*m - 8, -3*g - 5*m = 4. Suppose 0 = -2*s + g - 0. Solve i - 5*q + 3*q - 3 = 0, -4*q = 5*i - s for i. 1 Let y be -1*(-3 - 10)*8/26. Solve -j + 0*j = -c + 2, -y*c = 4*j - 32 for j. 3 Let n be 20/(-30) + (-3)/((-27)/42). Solve 0 = -3*g - y + 16, -n*g + 4*y = -3*g - 1 for g. 5 Let q(k) = -k**3 - 14*k**2 - 27*k - 32. Let p be q(-12). Solve 2*n + 2*n - p*j + 4 = 0, n - 5*j = 15 for n. -5 Let m(q) = 2*q**2 - 3*q - 4. Suppose 0 = 4*b - b - 9. Let a be m(b). Suppose 26*w - 27*w = -27. Solve -4*v + w = -3*f, -a*f + 5 - 33 = -v for f. -5 Suppose 129 = 4*f + 117. Solve f*k - 3*l - 4 = -1, -k = -2*l for k. 2 Suppose -2*j + 276 = -0*u - 4*u, -2*u - j - 134 = 0. Let f = u + 72. Solve 2*n = n + 5, 5*l + 25 = f*n for l. -1 Let j = 1044 + -1039. Solve -5*b - j*t - 15 = 0, 0 - 3 = 2*b - t for b. -2 Let y be ((-9)/3)/((-3)/4). Let k be (-6 - -7)/((-1)/(-16)). Let o = 16 - k. Solve -3*s - 4*w + 0*w + 35 = o, -s - 15 = -y*w for s. 5 Suppose 0 = -5*v + 36*v. Solve -3*p + 12 - 3 = v, -5*s - 4*p = -27 for s. 3 Let g = 63 - 61. Solve 5*w + x = w + 9, 9 = g*w - x for w. 3 Let b be (2 - 6)*1/(-2). Suppose -4*m - 18*m + 44 = 0. Solve -m*h - 3*w - 8 = 0, -b*h + 5*w + 7 = h for h. -1 Let b(a) = 2*a - 6. Let q be b(5). Suppose -3*u - q*h = -46 - 24, h = u - 28. Solve 0*p - 3*w = -4*p - u, 4*p - 2*w = -24 for p. -5 Let f be (4/(-10))/((-4)/(-100)). Let v be (6/f)/((-1)/5). Let i = 29 + -25. Solve v*y + 19 = -b - i*b, 3*y + 13 = -2*b for b. -2 Let z be (-105 + 104)*(-4 - 1). Solve z*k + 8 = y, -2*k - 2*y = -k + 6 for k. -2 Let u(z) be the third derivative of z**5/15 + z**4/24 - z**3/6 + z**2. Let s be u(-2). Solve 2 = j, j + s = -6*n + n for n. -3 Let a = -23 - -42. Let r(z) = -z**2 - 11*z - 12. Let c be r(-8). Solve 0*s + 4*s - a = q, -3*s + c = -3*q for q. 1 Let c be 2*(-5 - -1 - -6). Suppose -c*b + 0*b = -80. Suppose -5*g + 18 - 3 = 2*r, 4*g - 4 = 0. Solve -2*j + 3*u = b, -r*j = -j + 3*u + 4 for j. -4 Let s be ((-60)/18 + 3)*15*-1. Solve -4*t - 24 = s*v, 3*t + 18 = -5*v - 5 for t. -1 Let r = -36 + 44. Suppose 10 = 2*c - r. Solve -6*y = 2*s - y - 27, 0 = -s + 2*y - c for s. 1 Let q = -4 - -5. Let j(d) = d**2 + 45. Let v be j(0). Solve 5*n + 5*u = v, 3*n = 5*u - q - 4 for n. 5 Let j be 0 + 0 - 0/(-2). Let r be (-2)/(1 - j - 2). Suppose r*l + 2 - 6 = 0. Solve 0 = 2*n + 4*s - 26, -2*n + 0*n - l*s + 16 = 0 for n. 3 Let n(x) be the second derivative of x**4/6 - x**3/2 - x**2/2 + 11*x. Let q be n(-1). Solve d - 7 = -4*a - 28, -3*a = -q*d + 11 for a. -5 Let g = -36 + 36. Let z be 2 + g - (-69)/23. Solve -5*i + 3*u - z = 0, -2 = -5*i - 2*u - 7 for i. -1 Let s(d) = -2*d + 21. Let l be s(9). Solve -l*g + 32 - 2 = -3*a, -g + 15 = -2*a for g. 5 Let w = -1 + 4. Let f be 1/w - 109/3. Let p = f + 51. Solve 3*y + 12 = -3*o + 7*y, 0 = -2*o - 5*y + p for o. 0 Let y be ((-75)/20)/((-3)/8). Suppose -r = 4*r - y. Suppose -r*b + 4 = -4. Solve 0 = -b*g - 5*o - 29, -4*g + 4*o - 3*o = -1 for g. -1 Let k be 7 + -3 - (-8)/(-2). Suppose 0*y + 2*y - 4 = k. Solve y*f + 2*s = 4, 2*f - 5*s = f - 28 for f. -3 Let j(t) = t**3 + 6*t**2 + 7*t - 2. Let y(b) = 3*b**3 - b**2 - 2*b - 2. Let l be y(-1). Let s be j(l). Solve 5*h + s = 2*k + 5, 2*k - 3 = -h for k. 1 Let w(l) = -2*l**2 + 58*l - 42. Let v be w(28). Solve -4 = -y + 4*q - 3*q, -5*q = -3*y + v for y. 3 Let k = -501 - -515. Solve -6 = 4*i + 3*b, 0 = -4*i + b - 0*b - k for i. -3 Let f = 7 - 2. Suppose f*q - 25 = -4*b, -b - 15 = -3*q + 3*b. Solve q = -2*h + h - 3*c, 0 = -2*c for h. -5 Let p(i) = -11*i + 48. Let w be p(4). Solve -3*b = 4*v - 20, 3*b = -w*v + 2*b + 12 for v. 2 Let j be -18 + 11 + -6 - -18. Solve 2*l + 4 = 3*r, r - j = l - 2*r for l. 1 Let i = 6 + -10. Let v be (i - -2)/(6/(-45)). Solve -4*x = -5*s - v, -2*s + s = 3*x - 16 for x. 5 Let y be 0/((10 - 2) + -7). Solve -s + h = 3, -s = -y*h + 5*h - 27 for s. 2 Suppose 3*f - 2 - 7 = 0. Suppose -f*c = -0*c. Let h = -43 + 52. Solve c = 2*u + 3*b - 16, h = 3*u + b - 8 for u. 5 Suppose 0 = 2*n - 5*t - 25, 3*n - t - 2*t - 24 = 0. Suppose 7*g - 15 + 1 = 0. Let b be -1*(g + -2)/1. Solve -2*q + n*i - 10 = 7, b = 5*i - 25 for q. 4 Suppose 78 = -2*c - 4*m + 76, 25 = 3*c - m. Solve t = y + 1, -3*y + c = -y - 5*t for y. -4 Let f be 18 + (0/1 - 2). Suppose 2*w - 56 = -5*w. Let p = 10 - w. Solve -5*z = -c + f, 1 = -3*z + p*c - 10 for z. -3 Suppose 0 = 4*q - 75 + 55. Solve 0 = 3*m + 15, -1 = 3*z + 3*m + q for z. 3 Suppose -7*s = 2*s - 18. Let d(q) = q**2 + 3*q - 6. Let f be d(s). Solve f*z = 5*g + 3, 2*z - 7*g + 2*g = -1 for z. 2 Let d = -15 - -31. Suppose a = -3*t + 5 - 1, 3*t = -4*a + d. Suppose t = -7*v + 3*v. Solve -5*g + v = -4*h + 16, 16 = -3*g + 4*h for g. 0 Let a be (-42)/(-49) + (-40)/(-35). Solve -a*r + 5*m - 22 = r, 0 = -r - 3*m + 2 for r. -4 Let b(a) = -3*a**2 + a + 20. Let j(o) = -13*o**2 + 3*o + 81. Let r(t) = 9*b(t) - 2*j(t). Let y be r(6). Solve -k - 3 = 3*q - y*q, -4*q - 4*k = -4 for q. -2 Let r be ((-3)/(-5))/((-1)/(-5)). Let x(p) = p**3 - 3*p**2 + 2*p + 1. Let b be x(3). Suppose 3*f = b*f - 4. Solve k = -2*w - 2, -3*k + r*w - 5 - f = 0 for k. -2 Let a = -1566 - -1566. Solve 4*v + 10 = x, a = -2*v + 3*x - 10 - 0 for v. -2 Let o be 255/34*(-10)/(-25). Solve 0 = -2*u + 2*f - 12, 5*f - o*f - 10 = u for u. -2 Suppose -334 = -8*h - 86. Solve -5*t = 4*k + h, k + k = 3*t + 1 for t. -3 Let k = 6 - 4. Let q(z) = -z**2 - 6*z - 4. Let j be q(-4). Solve -j*u - 40 = -4*c, -8 = -2*u - 4*c + k for u. -5 Let x(k) = k**2 - 5*k - 10. Let p be x(7). Suppose p*w - 16 - 4 = 0. Solve d + w*i - 7 = 0, -3*i - 4 = 3*d - 1 for d. -3 Suppose 24*g = 15*g + 81. Suppose -x + 22 = 4*a, a - g = 3*x - 2*a. Solve 0 = d - 4*v - 1 - 4, -5*d = 3*v - x for d. 1 Let b(y) = 9 + 143*y**2 - 11*y - 144*y**2 + 6. Let x be b(-12). Solve 10 = 3*q + 2*c, x*q - 4*q = -3*c + 15 for q. 0 Let k be (-3)/15 - (-2)/10. Let a(n) = -n - 13. Let b be a(-20). Solve 5 = -3*o - z - k*z, 0 = 3*o - z + b for o. -2 Let h be 2 - (-18 - (-7 + 3)). Let g = h - 11. Suppose -3*k = -g*i - 0*k + 35, k = -4*i + 11. Solve t - i*b = b + 2, 2 = -2*b for t. -3 Let w(h) = 6*h - 13. Let s be w(3). Suppose 4*a - 4*c = -16, -a = -s*a + 2*c - 8. Solve -4*u - 5*k - 9 = a, -5*k = -k + 20 for u. 4 Suppose 4*h + 22 = -5*i + 168, 3*h = i - 33. Suppose 6*w - w - i = 0. Solve 4*s = w*q - 3*q + 21, 3 = -4*s - 5*q for s. 3 Let n be (-2 - -1 - -2)*4. Let p = n + 0. Suppose 2*a = y + 6 + p, 10 = -5*y. Solve -6*j = 3*g - a*j - 13, -5*g + 5*j + 5 = 0 for g. 3 Suppose -4*j - 155 = r + 2*r, -55 = j + 4*r. Let n = j - -7. Let v = n + 33. Solve -3*p = -6*p + 3, -v*t = -2
{ "pile_set_name": "DM Mathematics" }
In base 15, what is 19 - -a? 24 In base 15, what is 2 + -98? -96 In base 5, what is -431 + -422? -1403 In base 5, what is 1022 - -32? 1104 In base 5, what is 22 - 1024? -1002 In base 9, what is -131 - -26? -104 In base 3, what is -10101011 + -20? -10101101 In base 11, what is 9 + 2a? 38 In base 5, what is 1 + 342? 343 In base 14, what is 3cb - 2? 3c9 In base 13, what is 9 - -4a1? 4aa In base 14, what is -455 - -2? -453 In base 5, what is 11203 - -3? 11211 In base 8, what is -3 + -671? -674 In base 5, what is -3243 - 3? -3301 In base 15, what is 10 + -1? e In base 13, what is -3 - -3? 0 In base 6, what is 444 + 0? 444 In base 3, what is -102112102 - 0? -102112102 In base 6, what is -3 + 5014? 5011 In base 11, what is 6a34 + -5? 6a2a In base 6, what is 11 - 43? -32 In base 7, what is 5 - 4051? -4043 In base 8, what is 34 + 13? 47 In base 12, what is -7b - -1? -7a In base 14, what is -a9 - 5? -b0 In base 7, what is -114 + -110? -224 In base 10, what is -149 + -8? -157 In base 12, what is 38 + 1? 39 In base 3, what is 0 + -220? -220 In base 11, what is 14 - -2? 16 In base 7, what is 103 + -102? 1 In base 7, what is -461 - -1? -460 In base 4, what is -1 - -330313? 330312 In base 4, what is -2101 + 312? -1123 In base 9, what is 34 - -182? 226 In base 14, what is 1a5 - 4? 1a1 In base 16, what is -5 - 2c1? -2c6 In base 14, what is 9 - 4? 5 In base 12, what is -3 - 8? -b In base 9, what is 103 + 6? 110 In base 5, what is 120 + -3? 112 In base 15, what is -1835 - 1? -1836 In base 13, what is -91 - -1? -90 In base 4, what is -22323 + 2? -22321 In base 7, what is 444 + -305? 136 In base 4, what is 1 - -320? 321 In base 16, what is 3 - -196? 199 In base 13, what is 4 - 6b? -67 In base 2, what is 10010100010 + -1? 10010100001 In base 5, what is -1 - 101? -102 In base 4, what is -10332 - 20? -11012 In base 16, what is 39 - -5? 3e In base 12, what is 14a - 16? 134 In base 10, what is -4 + -2556? -2560 In base 10, what is -2 + 66? 64 In base 5, what is 313 - -1? 314 In base 14, what is 11 + 53b? 54c In base 4, what is 1 + -102102? -102101 In base 13, what is 5 + 91? 96 In base 3, what is 120121 + 102? 121000 In base 6, what is -123 - 153? -320 In base 9, what is 1 - 13? -12 In base 6, what is -3 + -134? -141 In base 7, what is -23 - -41? 15 In base 12, what is -13 + -79? -90 In base 4, what is 2301 - -3? 2310 In base 3, what is -21102200 - -2? -21102121 In base 16, what is -a2 + -5? -a7 In base 15, what is a - 10? -5 In base 12, what is -2 + -159b? -15a1 In base 4, what is -21021 - 3? -21030 In base 10, what is -13014 + 5? -13009 In base 12, what is 4 + 1505? 1509 In base 9, what is 4 - -127? 132 In base 12, what is -27 - 524? -54b In base 14, what is -21 + 2d? c In base 16, what is f76 + -3? f73 In base 16, what is 2 - -12e? 130 In base 16, what is 3 - -191? 194 In base 13, what is 26 - 1? 25 In base 12, what is -20 + 82? 62 In base 16, what is -c - -31? 25 In base 13, what is 22 + -b9? -97 In base 14, what is -9d + -3? -a2 In base 6, what is 2024 - 114? 1510 In base 13, what is -1c + -2? -21 In base 2, what is -101 + -101101? -110010 In base 5, what is 41 + -31? 10 In base 13, what is 21c - 3? 219 In base 6, what is 0 - 3514? -3514 In base 14, what is 39d + 2? 3a1 In base 5, what is -2 - -10241? 10234 In base 13, what is b + 2? 10 In base 2, what is -1110111100000 + 10? -1110111011110 In base 14, what is 98 + -9? 8d In base 5, what is 13141 - 11? 13130 In base 11, what is -94 + -2? -96 In base 6, what is -2310 + 3? -2303 In base 16, what is 5 - 765? -760 In base 8, what is -42 - 3? -45 In base 8, what is 6 - -132? 140 In base 14, what is -5 + -1a? -21 In base 15, what is -3d8 - 3? -3db In base 5, what is 14 - -1340? 1404 In base 2, what is -1111111 + 100? -1111011 In base 6, what is -3 + 3230? 3223 In base 3, what is 12 + 211121? 211210 In base 13, what is -53 + -3? -56 In base 2, what is 101 - 111? -10 In base 7, what is -13 + 4560? 4544 In base 2, what is -110011010 + -10? -110011100 In base 2, what is 1111 - -11011000? 11100111 In base 9, what is -24244 - 5? -24250 In base 4, what is -1212 - 12? -1230 In base 12, what is -6 - -11? 7 In base 2, what is 101 - 111110? -111001 In base 15, what is -1 - a74? -a75 In base 12, what is a74 - 1? a73 In base 6, what is -2210 + 153? -2013 In base 5, what is -14312 - -24? -14233 In base 5, what is 21313 + 10? 21323 In base 9, what is 1 - -363? 364 In base 4, what is 1132 + 101? 1233 In base 9, what is 4 + -106? -102 In base 2, what is 1110 - -101101? 111011 In base 16, what is 34 - 7e? -4a In base 10, what is 12 - -266? 278 In base 6, what is 32043 - -5? 32052 In base 11, what is -138 + -3? -140 In base 16, what is -3 - 580? -583 In base 13, what is -1 + -360? -361 In base 9, what is -8 - -2611? 2602 In base 9, what is -6 - -602? 585 In base 6, what is 144 - -22? 210 In base 2, what is 11000010 + 1? 11000011 In base 13, what is -7cc + c? -7c0 In base 13, what is -7650 + -4? -7654 In base 15, what is 3 - -21? 24 In base 7, what is 10 - 1430? -1420 In base 13, what is -506 - -4? -502 In base 5, what is -34 - 243? -332 In base 9, what is 3 - -61? 64 In base 12, what is -3 + -28? -2b In base 10, what is -1667 + 4? -1663 In base 16, what is -4 + 79? 75 In base 7, what is -5 + 16350? 16342 In base 16, what is 7 + 48? 4f In base 7, what is -50460 - -3? -50454 In base 8, what is 3 + -74? -71 In base 7, what is -5 - 1? -6 In base 10, what is 440 - -5? 445 In base 13, what is 12 + -19? -7 In base 16, what is 4c5 - -3? 4c8 In base 7, what is 6 - -152? 161 In base 12, what is 2 + -1756? -1754 In base 16, what is 2 + -2a? -28 In base 11, what is 148 - -18? 165 In base 11, what is -2 - 38a0? -38a2 In base 9, what is 3 - 746? -743 In base 16, what is -2 - 283? -285 In base 3, what is -1112 - -1? -1111 In base 16, what is -1 - e2? -e3 In base 6, what is -10 + -20? -30 In base 12, what is 367 - 10? 357 In base 14, what is 6829 + 4? 682d In base 15, what is 3 - 31? -2d In base 6, what is -35 - 112? -151 In base 10, what is -1 + 1306? 1305 In base 9, what is 17 - 24? -6 In base 13, what is -36a + 1? -369 In base 2, what is 1000 - 100100011? -100011011 In base 8, what is -2150 + 0? -2150 In base 15, what is 9 + 2? b In base 3, what is -202021 - 21? -202112 In base 3, what is -102 - -201011? 200202 In base 15, what is 30 - -1b? 4b In base 2, what is 1 + 101010010? 101010011 In base 14, what is -62 - 1? -63 In base 12, what is 3 - 1545? -1542 In base 6, what is -4 - 240? -244 In base 9, what is -10 + 86? 76 In base 6, what is 4240 + -3? 4233 In base 14, what is 2 - -63b? 63d In base 6, what is -43 + 25? -14 In base 7, what is -4 - -3? -1 In base 8, what is 332 + 2? 334 In base 16, what is -399a - 2? -399c In base 8, what is -106 + -6? -114 In base 5, what is -2 - -24143? 24141 In base 14, what is 27 + 1? 28 In base 2, what is -10011000001 - 10? -10011000011 In base 11, what is -42 + 8? -35 In base 11, what is -5 - 116? -120 In base 16, what is -29 + -89? -b2 In base 8, what is -1 - 124? -125 In base 11, what is -8 + -14? -21 In base 4, what is 103 + 2? 111 In base 11, what is -3 - -24a? 247 In base 8, what is -123 + 1? -122 In base 7, what is -5360 - -4? -5353 In base 2, what is 110101 - 0? 110101 In base 11, what is -1a - 37? -56 In base 9, what is -108 + 34? -64 In base 10, what is -6 - -107? 101 In base 4, what is -221010 + 2? -221002 In base 4, what is 12133 + 11? 12210 In base 4, what is -1311 + -10? -1321 In base 4, what is 1000 + -1011? -11 In base 16, what is -27c - 2? -27e In base 14, what is 40 - 1c? 22 In base 7, what is 0 - 32246? -32246 In base 5, what is 2 - 220? -213 In base 4, what is -2332 - -11? -2321 In base 12, what is -2 - a00? -a02 In base 15, what is -87 + -4? -8b In base 16, what is 39e8 - -2? 39ea In base 10, what is 1892 + 6? 1898 In base 5, what is 333 - 124? 204 In base 4, what is 13003 + -11? 12332 In base 10, what is 400 + -1? 399 In base 12, what is 70 + -50? 20 In base 10, what is -89 - 23? -112 In base 12, what is -1 + -894? -895 In base 10, what is 4 - -10? 14 In base 12, what is 4403 - -3? 4406 In base 14, what is 1 - 86? -85 In base 11, what is 0 - -9a? 9a In base 6, what is 130 - 22? 104 In base 15, what is -21 + 4c? 2b In base 7, what is -12361 + 1? -12360 In base 2, what is -100000 - 110101? -10
{ "pile_set_name": "DM Mathematics" }
5*(-1)/(-42*5)*4? 2/21 Evaluate 0*((-160)/(-8))/(-120). 0 (52/390)/(((-20)/(-6))/5) 1/5 What is ((-1)/2)/((-21)/70)? 5/3 Evaluate 36/(-351)*13*24. -32 Evaluate (-2)/2*1*28/(-560)*-20. -1 What is 12/(-14)*(18/((-576)/560))/5? 3 What is the value of ((-78)/(-195))/((-4)/(-4)*2)? 1/5 (-1*1)/((6*13/351)/2) -9 (-3)/((2/(-24))/(-12*(-27)/2916)) 4 Calculate 24/(-198)*(-13)/(572/99). 3/11 Calculate ((-2)/16)/((-217)/1736)*-7. -7 What is 34/((-1292)/(-114))*-1? -3 Evaluate 196/(-546)*60/(-28). 10/13 What is (9/12)/(((-60)/160)/(2/8))? -1/2 Calculate (33*44/99)/(46/(-69)). -22 Evaluate (-745)/149*39/(-15). 13 What is the value of ((-5)/((-125)/40))/((-32)/(-600))? 30 (2/(-8))/(-1*21/56) 2/3 Calculate -6*(-42)/54*7/((-147)/(-54)). 12 Calculate 1/3*81*(-16)/48. -9 Evaluate (55/(660/312))/(4/2). 13 Calculate 344/(-258)*-3*(-9)/(-84). 3/7 Evaluate ((-12)/(-14))/((-544)/(-272)). 3/7 What is 2/(-4)*-5*19/(57/(-2))? -5/3 Evaluate (18900/(-630)*1/(-36))/((-1)/12). -10 Evaluate (-5240)/1179*(-18)/4. 20 Evaluate ((51/2)/1)/((-39)/(-26)). 17 Calculate 3*17*-1*(-758)/(-1137). -34 (8/3)/(12/675*15) 10 What is the value of (((-2992)/11)/(-8))/(-2)? -17 Calculate (-7)/1*(-792)/(-462). -12 (-48*(-16)/1152)/((-2)/(-57)) 19 Evaluate 16/(-8)*(-23)/(-46). -1 Calculate ((-8)/20)/((76/12)/((-10)/(-6))). -2/19 (46/184)/((-14)/336) -6 22/44*-3*-56*2/(-12) -14 Calculate (-1*3/3)/((-728)/(-8008)). -11 What is -2*(-5)/((-75)/15)? -2 Calculate ((-5)/(-4))/((-1980)/72)*-11. 1/2 What is the value of (360/45*(-3)/(-8))/27? 1/9 What is the value of 16*9/(-1296)*3? -1/3 Evaluate ((-21)/2520*-12)/((-1)/(-6)). 3/5 Calculate ((80/12)/(-2))/((-7)/((-357)/17)). -10 (-16)/(-10*4*(-9)/(-180)) 8 Evaluate 3*2/14*(-2744)/(-56). 21 (44/33)/(2/(-42)*-7) 4 What is (3*14/(-28))/(3/8)? -4 Evaluate 48447/1538*(-4)/(-14). 9 What is the value of (((-144)/40)/((-18)/15))/(69/3)? 3/23 Evaluate ((-1484)/53)/(-28)*-1*1*1. -1 What is 70/70*(-120)/5? -24 Evaluate (60/27)/((-392)/(-294)*3/54). 30 What is the value of (-9*(-70)/(-120))/((-2)/(-8)*-3)? 7 What is (6/126)/(450/(-350))? -1/27 What is (((-48)/14)/((-58)/(-406)))/((-12)/8)? 16 What is the value of -6*(-2)/(-36)*8*11/(-132)? 2/9 Calculate 43/((-43)/(-2))*-5. -10 What is 18/468*13*4/3? 2/3 What is the value of 7/2*(-2)/((-8)/((-112)/49))? -2 What is (75/500)/(((-351)/(-45))/((-8)/5))? -2/65 (-110)/(-780)*(-296)/(-814) 2/39 What is the value of ((-996)/(-6723))/(2/(-3))? -2/9 What is 44/(-55)*440/(-32)? 11 (2/(-154))/((-706)/(-3883)) -1/14 What is the value of ((-17)/(-935))/(1/2)? 2/55 3/(54/12)*5/(70/12) 4/7 Calculate (5589/(-414))/(2/(-4)). 27 What is the value of ((-3)/(-1))/(-10*(-30)/(-2500))? -25 (-78)/(-13)*6/(-9) -4 Evaluate ((-1)/5)/((-126)/(-42))*-5. 1/3 What is the value of (12/14)/(((-27)/4)/(2562/244))? -4/3 Calculate ((589/(-76))/(-31)*6*1)/(-1). -3/2 Calculate 6958/(-5467)*(-33)/2. 21 Evaluate (5/(-3))/((30/63)/((-344)/(-602))). -2 Evaluate (-10*(-132)/3080)/18. 1/42 What is ((-680)/(-51))/((-50)/75)? -20 What is the value of ((-15)/84)/((-16)/56)? 5/8 Evaluate 5/(-4)*(-87)/((-1131)/52). -5 Calculate (6/((-2)/(-1)))/((-3)/((-4)/(-4))). -1 2/8*(-9752)/1219 -2 Evaluate 10/15*12/(-744)*6. -2/31 Evaluate -6*-4*6*9/5508. 4/17 Calculate ((-3236)/(-1618))/(23/(-1)). -2/23 Evaluate (-1188)/(-198)*4/(-6)*-1. 4 What is the value of (-529)/23276*2*2? -1/11 What is (18/(-576)*-16)/((-14)/12)? -3/7 What is the value of (-5*(-9)/15)/(((-153)/(-2))/3)? 2/17 What is the value of (24/(-2850)*5)/(12/30)? -2/19 What is (-55)/11*(-68)/102*3/(-1)? -10 What is the value of (((-1176)/14)/(-14))/(-1)? -6 What is 10584/(-784)*(-2)/(-3)? -9 Evaluate ((-3)/(21/(-4)))/(((-1092)/52)/588). -16 Evaluate (22803/1382)/((-3)/(-4)). 22 Evaluate (12/8)/1*(-6880)/516. -20 Calculate (7*(-86)/(-301))/((-11)/6). -12/11 ((-50)/(-350))/(225/(-50)*1/(-3)) 2/21 Evaluate 7296/(-1520)*30/(-36). 4 Evaluate (4/(-40))/((-255)/(-2125)). -5/6 Evaluate -9*17*(-96)/(-544). -27 What is (-10)/76*24/14*(-413)/295? 6/19 Evaluate (116/174*99/12)/(1/(-2)). -11 What is the value of (-858)/390*2*-1*3/33? 2/5 What is (-9)/(-15)*6510/(-56)*(-40)/90? 31 What is (-2)/((-2)/(-156)*-4)*198/(-297)? -26 Evaluate (-18)/(-20)*(-62)/155*5. -9/5 What is the value of 140/(-1470)*(-28)/16? 1/6 Calculate 2/((-2)/1)*(-25)/175. 1/7 What is 10/12*(-3672)/2295? -4/3 What is the value of ((-20)/8*(-84)/35)/(-10)? -3/5 Evaluate ((-8)/(-20))/(48/(-15)). -1/8 Calculate 5/((15/21)/((-28)/49)). -4 What is (42/(-54))/(140/(-300))? 5/3 Evaluate (-5)/(4180/(-19))*-2. -1/22 What is the value of ((-702)/5148)/((-12)/(-22))? -1/4 Evaluate 13/6*(-4)/(-78). 1/9 What is 540/945*(-1)/8? -1/14 What is the value of ((-220)/(-10))/((-13)/((-91)/14))? 11 What is (6/(-12))/(6/24*66/3)? -1/11 (6/(-12)*30)/(-3) 5 ((-57)/(-1482))/(4/52)*(-4)/(-11) 2/11 Evaluate ((-216)/(-504))/(45/140*1). 4/3 Calculate (4/6)/(175/3675). 14 1*12/(-20)*(-15)/(-45) -1/5 What is the value of -6*-7*15/(-315)*5/(-2)? 5 (((-20)/(-325))/2*-2)/((-4)/10) 2/13 ((-1188)/1848)/(1/(-14)) 9 (-120)/40*(-2)/(-3) -2 (((-25)/(-5))/(-30))/(2*(-2)/(-16)) -2/3 Calculate 3819/1273*(-10)/(-2). 15 What is the value of (-40)/60*9/(-12)? 1/2 Evaluate (3/12)/(-25*(-8)/160). 1/5 (-15)/(8100/40)*-3*3/(-34) -1/51 Evaluate (-24)/(-10)*2690/(-807). -8 Evaluate (64/14)/((-2046)/7161). -16 Evaluate (-5)/(-2)*(2655/(-525))/59. -3/14 Calculate (((-1)/2)/((-4)/40))/1. 5 Calculate ((-808)/(-707))/((-2)/14*(-16)/(-8)). -4 What is (5*(-21)/210*4/(-2))/9? 1/9 ((-86)/(-258))/(3*(-2)/(-342)) 19 Calculate ((-9)/(-315)*(-4)/(-1))/(10/(-25)). -2/7 Evaluate (-2)/((-25)/(675/(-18))*(-6)/(-16)). -8 What is (-2)/((-12)/(-600)*10)? -10 What is the value of 27/(-9)*45/(-15)? 9 What is the value of (216/98)/((-4)/(-14))*2030/(-580)? -27 Calculate (-138)/184*17/(1377/(-60)). 5/9 (-910)/(-130)*-2*1 -14 Evaluate 16/(11/(-44)*8). -8 What is the value of ((-198)/(572/26))/1? -9 Evaluate 114/(-95)*20/(-6). 4 Evaluate (408/(-84))/(-17)*42/10. 6/5 Evaluate ((-104)/(-16))/((-13)/26). -13 Calculate ((231/(-14))/(-11))/(((-969)/(-340))/(-19)). -10 What is the value of (1/20)/((-133)/665)*4/(-23)? 1/23 (-16)/(-8)*382/(-1337) -4/7 18/(-4)*546/(-117) 21 What is the value of ((-16)/(-160))/((-12)/20)? -1/6 Evaluate (-1*3)/(-12*(-46)/(-2576)). 14 Evaluate ((-12)/(-240)*5)/((-4)/(-96)). 6 Evaluate (-50)/(-55)*(-149)/1490. -1/11 Evaluate 8*((-3)/(90/(-12)))/(144/945). 21 ((-1)/(2/90))/(669/(-446)) 30 What is the value of (54/72)/(10/(-8)*(-153)/10)? 2/51 What is the value of -6*16/(-64)*1? 3/2 What is the value of (2/68)/(373/(-1492))? -2/17 Calculate 700/225*9/(-2). -14 What is 64/(-8)*737/536? -11 Evaluate (400/8*30/(-180))/((-2)/(-6)). -25 Evaluate (-1945)/(-8169)*36/(-10). -6/7 Calculate (-90)/(-18)*9/15. 3 What is (-105)/63*(-72)/(-30)? -4 6*(10/11)/((-144)/132) -5 Calculate (23/(253/66))/((-7)/((-21)/6)). 3 What is ((-4)/(32/78))/((-1)/(216/81))? 26 (33471/(-18595))/(((-84)/10)/2) 3/7 What is ((-24)/(-4))/(((-38)/(-285))/((-1)/(-5)))? 9 ((-728)/(-1482))/(-7)*(-95)/10 2/3 What is ((-8)/(-20))/(264/(-990))? -3/2 What is the value of 0/(-10)*(-3)/9*(-2)/(-10)? 0 Calculate (-704)/(-56)*63*14/504. 22 Calculate 1/(-4)*((-24)/(-420))/((-3)/7). 1/30 What is the value of 16/(-1408)*-22*-1? -1/4 (-60)/620*1*(-6)/18 1/31 (-18)/39*1*-13 6 Calculate (-2)/(-2)*(84/(-2))/(-42). 1 Evaluate (138/(-414))/((-2)/(-42)). -7 40/(-140)*(-49)/14 1 What is 21*13*(-40)/20020? -6/11 ((-99)/(-165))/((-22)/(-30))*(-2)/3 -6/11 What is (5/15)/((-9782)/73*(-3)/(-18))? -1/67 ((-1173)/(-184))/(((-27)/12)/(6/4)) -17/4 What is the value of (516/1075)/((18/(-15))/3)? -6/5 Evaluate 30/(-50)*16/24. -2/5 Evaluate 4032/192*(-1)/(9/3*1). -7 Evaluate ((2*(-28)/(-24))/(40/120))/(-3). -7/3 Evaluate 0/(21*17/1785*1*-15). 0 ((-14)/2)/(((-24)/(-2))/12) -7 Evaluate (9/12)/(42/16)*1001/(-9581). -2/67 (-1*2/63)/(27*(-62)/5022) 2/21 Calculate ((15/50)/(-1))/(81/(-36)). 2/15 5605/(-3363)*(-2)/30*2 2/9 What is (-72)/14*1498/321? -24 Calculate (((-12)/7)/((-1192)/9387))/(2/4). 27 Evaluate (75/570)/((-1)/(4*(-3)/15)). 2/19 What is (2/(-8)*132/(-33))/(1/(-13))? -13 (-7*(-34)/(-119))/5 -2/5 What is the value of (-9)/6*5712/504? -17 What is the value of 14/(-616)*-16*-22? -8 What is (-66)/55*(-15)/2? 9 What is the value of (-3)/2*22*(-23)/(-4554)? -1/6 What is (-4)/(-14)*4
{ "pile_set_name": "DM Mathematics" }
*a/(a/((a*a/(a*a**(2/17)))/a*a))*(a/a**(3/4)*a)/a**(-4)*(a**(-1/4)/a**3)**(-32) assuming a is positive. a**(7625/68) Simplify v**(4/7)/(v/v**(28/3))*v**(2/131)*v**(26/3) assuming v is positive. v**(16127/917) Simplify (q*q/(q*q**(2/5)*q*q))**(-15/11)/(q**(5/6)*q*q**(-1/7))*((q**(-2))**44)**(-4) assuming q is positive. q**(162725/462) Simplify (m**(2/7)*m**(-8/5))**46/((m**1*m*m**(-8))/(m/(m**(2/9)*m))**(-34)) assuming m is positive. m**(-14774/315) Simplify ((l**(-4/17)*l)/(l/(l/(l/(l/l**(-6/17))*l))))/(l**(-12)*l)**(-7) assuming l is positive. l**(-1307/17) Simplify (((s*s*s**(-6/11)*s*s)/(s/s**(-3/2)*s))/(s/(s/((((((s**4/s)/s)/s)/s)/s)/s)))**5)**(-15) assuming s is positive. s**(-3285/22) Simplify ((f**(-18/5)*f)/f)/(f/(f**(1/23)/f)*f)*(f/(f/f**(-1/4)))**21 assuming f is positive. f**(-5431/460) Simplify ((s**(-22))**(-5/6)/(s*s**(-2/5))**15)**(-4/29) assuming s is positive. s**(-112/87) Simplify ((h/h**(-5))/(h*h/h**(-5))*h**9*h**8)/((h/(h/(h*h/h**6*h))*h*h**5)/(h**(-2/11)/(h/(h*h**(6/5)*h)))) assuming h is positive. h**(826/55) Simplify (((x**(-6)/(x/(x**(3/8)/x)))**(-47))**(30/11))**(-1) assuming x is positive. x**(-43005/44) Simplify (k*k*k**(-2/7))**(-6)*((k*k**(2/7))/k)**7*k*k**6*k*k*k**(-1/2)*(k/(k*k**1*k))**(-2/33) assuming k is positive. k**(155/462) Simplify (a*a**(2/13)*a**(-1/8)*a*a)/(a/(a**(-6)*a)*(a/((a**3*a)/a))/a)*(a**2/a)/a*a**(-4/9)*((a*a*a**(-1/2)*a)/a)**(-13) assuming a is positive. a**(-18641/936) Simplify ((y/y**3)/(y/(y*y**(2/13)*y*y*y)))**(9/2)/((y/(y*y**(-1/6)))/((y/(y/(y*y/((y/y**0)/y)))*y*y)/y)*y**(-1/5)/y**1) assuming y is positive. y**(1799/195) Simplify ((j**1/j)**32)**(-19)*(((j/j**(-2/17))/j)/(j**(-6)*j))**(10/7) assuming j is positive. j**(870/119) Simplify (y**(2/15)/(y/y**(-2/7)))**32/(y/(y/(y**(3/7)*y))*y**(-2/3)*(y**1/y)/y**(-6)) assuming y is positive. y**(-4582/105) Simplify ((l**(-19)/l)/((l*l*l**26)/l*l)*l**(-6)*((l*l/(l/l**15))/l)/l*l)**35 assuming l is positive. l**(-1365) Simplify ((w**(-17)*w)**(-29/5)*(w/(w*(w/(w**(-1/10)*w))/w))/w*w**(-4/11))**(-3/14) assuming w is positive. w**(-4353/220) Simplify ((r**(2/5)*r**(-1/6))/(r*r**6)**(-9/5))**10 assuming r is positive. r**(385/3) Simplify (n/(n*n**(-1/5))*n)**(-2/31)*(n**(-1))**(19/3)*(n**(-1/3)*(n/(n**(-1/4)*n))/n)/(n**(5/6)*n*n**(5/4)*n) assuming n is positive. n**(-3589/310) Simplify ((o**(-9/5)/o)/(o/o**(-7)*o))/(o**(-35)*o*o**(-1/2)) assuming o is positive. o**(227/10) Simplify ((w**(19/4)/w)**(-2/7)/((w/w**8*w)/w)**(4/13))**(-17) assuming w is positive. w**(-3349/182) Simplify ((c/c**1)**(3/34)/(c**(-1/2)/c*c*c**9))/(((c*c**6)/c)/(c/(c/(c*c**(-1/8)*c))))**(4/31) assuming c is positive. c**(-280/31) Simplify ((v**(-1/4))**(-20))**(5/3)*((v**(2/7)/v)/v**2)/(v/(v*v**(-4/3))*v*v/((v**(-6)*v)/v*v)*v) assuming v is positive. v**(-26/7) Simplify (x**0*x**7*(x**10/x)/(x**(-13)*x*x*x))**16 assuming x is positive. x**416 Simplify (g/(g*g**(-1/4)))**(-4/23)*g/g**2*g**(-4)*g*(g**(-2/17)*g/(g**(-1/4)*g*g*g))**(2/7) assuming g is positive. g**(-25055/5474) Simplify ((l**5/l**(-1/20))/(l**1*l)**(-2/47))**50 assuming l is positive. l**(24135/94) Simplify (j**(2/7)/j)**(-4)*j**(-2/3)*j**(-4)*((j*j/(j*j*j/((j*j**5/j)/j)))/(j*j**(-6)*j))**(-15) assuming j is positive. j**(-2243/21) Simplify ((y*y**43/y*y)/y*y/y**(1/43))/(y/y**(-26)*y/(y/y**9)*y) assuming y is positive. y**(300/43) Simplify ((c**15/(c*(c*c**(-2/11)/c)/c))/(c**(4/11))**(-25))**20 assuming c is positive. c**(5340/11) Simplify (a*a*a/(a/a**20)*a)**(-2)*a/(a/a**(-7)*a)*a/((a*a/a**(-23))/a*a) assuming a is positive. a**(-78) Simplify ((r/r**7)/r**(-2/5))**39/(((r/(r/r**7*r))/r*r**(1/5))/((r**(-2/7)/r)/r*r/(r*r/((r/r**(-4))/r)))) assuming r is positive. r**(-7801/35) Simplify ((v*v**26)/(v*v/(v/v**(2/29)*v)))/((v**(2/21)/v)/v*(v*v*v**(5/11))/v) assuming v is positive. v**(183427/6699) Simplify (t*t**0)**(-3/20)/((t*t**3*t)/(t*t**(-4)))*(t**(4/11)/t**(-5))**(2/21) assuming t is positive. t**(-35293/4620) Simplify (m*m**3*(m**10/m*m)/m*m)**14/((((m*m*m**(-3))/m)/(m/m**(3/5)))/(m**(-7)*m/m**(3/5))) assuming m is positive. m**(959/5) Simplify ((((y*y**3)**(-28/5))**(19/3))**(-22/7))**(-39) assuming y is positive. y**(-86944/5) Simplify (z/(z**(-1)*z))**(-6)*z*z**(3/7)*z**(-2/13)/z*(z**5/(z**(1/4)*z*z))/(z/z**(-1))**(-7/3) assuming z is positive. z**(1847/1092) Simplify ((n*n**(1/2))**41/((n**(2/9)*n)/(n/(n**(1/2)/n))))/(((n/n**(-1))/n)**2)**(-17) assuming n is positive. n**(862/9) Simplify (a**(-2)*a/(a/((a*a**15/a)/a))*(a/a**(-3))**(-39))**38 assuming a is positive. a**(-5472) Simplify ((p**(8/3)*p**(2/21))/((p*p/p**(10/9))/p**8))**(-4/21) assuming p is positive. p**(-2488/1323) Simplify (((c**0/(c/(((c/c**(1/3))/c)/c)))/(c**1)**27)**(-28))**(-35) assuming c is positive. c**(-86240/3) Simplify ((z**(-4))**21/(z**8/z*((z*z**(2/33)*z)/z)/z))**(3/11) assuming z is positive. z**(-3005/121) Simplify (x/(x*x/x**(-2/7)*x)*x*x**(-9))/(x**9/((x/((x*x**(2/5))/x))/x*x))*((x**(-13)*x*x)/x*x*x**(-13/5))**(6/5) assuming x is positive. x**(-6126/175) Simplify ((m**(2/11)*m)/m*m*m*m**0)**16/(m**0*m**(-1/2))**(-10) assuming m is positive. m**(329/11) Simplify (((b/(b*b**(1/4)/b))/(b/(b*b**(-1/4)*b)*b))/(b**(20/9)/b*b/(b*b/((b**(1/4)*b*b)/b))))**(-4) assuming b is positive. b**(35/9) Simplify ((d/((d**(-6)/d)/d))/d)**(-3/43)*(d*d/d**25)/d**20 assuming d is positive. d**(-1873/43) Simplify (g/g**(-4/5)*g**(-1/18)*g)**(-31)*((g**(-2/15)*g)**25)**29 assuming g is positive. g**(48893/90) Simplify x**(4/3)/x*x**(-2)*((x*x**1)/x)/(x/(x**(1/2)*x*x*x))*((x**(-2/5))**(3/5))**(-19) assuming x is positive. x**(959/150) Simplify (((k**1/k)/k**(-3/20))/(k*k*k**13)**(-8))**(2/151) assuming k is positive. k**(2403/1510) Simplify (f**(-2)*f*f*f**(-1/2)*f)**(-33)/(f*f/(f/(f**6*f))*f*f*f/f**5)**42 assuming f is positive. f**(-537/2) Simplify l/l**7*l/(l*(l/(l*l**7/l))/l)*l*l**(1/3)/l*l**6*(l**(2/15)*l**(-3/7))**(-8) assuming l is positive. l**(1018/105) Simplify (a**(-6)*a/(a*(a*a/a**(-1/3))/a)*(a*a/((a/a**7)/a))/(a*a**0*a))/((a/(a*a**(-2/3)/a))**(32/5)/((((a*a**(-1))/a)/a)/a)**(1/10)) assuming a is positive. a**(-113/10) Simplify ((((q/(q**(-1/3)/q*q))/q)/(q*q**(-7)*q))/((q/((q/(q/((q/(q**2/q))/q)))/q))/q**(-4/7)))/(q**(4/9)*q*q**(-9))**(-29) assuming q is positive. q**(-13693/63) Simplify ((a**(5/14)*a)/a*a/(a/(a*a*a/(a/(a*a**(-39)))*a*a)))/(a/a**(25/6)*a**41*a) assuming a is positive. a**(-1522/21) Simplify ((b*b**6)/((b**6/b*b)/b*b))/((b**(-3/5)/b*b)/(b/b**(-1/2)*b))*((b*b*b/b**(1/9)*b*b)/(b*((b*b/b**(-1/11))/b*b)/b))**47 assuming b is positive. b**(134249/990) Simplify (n**(-7)*n**8)**(-4/25)/(n**(3/5)*n/((n/n**(-1/2)*n)/n*n))**(-3/35) assuming n is positive. n**(-83/350) Simplify (n*((n*n/n**(-2/3))/n)/n)**2/(n**(2/29)*n*n*n**2)*(n**8*n/n**10)**31 assuming n is positive. n**(-2761/87) Simplify j**(-5)*j*j/j**7*j*(j**(1/5))**33*(((j/j**9*j*j)/j)/j*j/(j**(-1/14)*j))**43 assuming j is positive. j**(-24033/70) Simplify ((c**(-2/11))**(-4))**1*c**(4/3)*c/(c/(c*c/((c**(4/3)*c)/c)))*(c*c**2)**(-1/3) assuming c is positive. c**(19/11) Simplify ((f**(-6/7)/(f/(f**(-23)*f*f*f)*f))/(f**(-1/6)/f)**(2/125))**5 assuming f is positive. f**(-59951/525) Simplify ((u**(-2)/((u/u**(2/13))/u))/(u*u**(-1))**(2/55))**(-3/25) assuming u is positive. u**(72/325) Simplify (((f/f**1)**(-40)/((f*f**9)/f*(f/f**5)/f))**30)**(-41) assuming f is positive. f**4920 Simplify ((((b**(-1/2)*b)/b)/b)/(b*b*b**(-1/30)))**(2/37)*((b*b**(-2/17))/((b/(b*b*b*b**(-16)))/b))**(-16/3) assuming b is positive. b**(202664/3145) Simplify (((z**(-1/6)*z*(z/(z*z**(-10))*z)/z)/(z**5/((z**11/z)/z)))**(-29))**(-26) assuming z is positive. z**(33553/3) Simplify t**(2/13)/(t**6*t)*((t**6*t)/t*t*t)/t**(2/25)*((t*t*t/(t*t**8))/(t**7*t*t*t))/((t/t**(6/13))/t*t/((t**0*t)/t)) assuming t is positive. t**(-5026/325) Simplify (v/(v*(v**(-1/2)/v)/v)*v**(-5))**(-24/5)/(((v/v**(1/4))/v)/((v/v**(-1/6))/v))**(-26) assuming v is positive. v**(7/6) Simplify (o**(5/7)*o*o/(o*o*o**(-1/4))*(o*o/((o*o**(-2/7))/o))**32)**(-36) assuming o is positive. o**(-18675/7) Simplify (z**(1/6)/(z*(z**(-1)/z*z)/z))**(-37)*((z**(-1)*z)**13)**(1/31) assuming z is positive. z**(-259/6) Simplify (((u/(u/(u/(u*u**(1/19)))*u))/u)**(-8/5)/(u**(-3/34))**(-31))**2 assuming u is positive. u**(1773/1615) Simplify ((f**(1/8))**(
{ "pile_set_name": "DM Mathematics" }
9, 5113 List the prime factors of 709679. 709679 List the prime factors of 646381. 29, 31, 719 What are the prime factors of 10161954? 2, 3, 11, 17, 3019 What are the prime factors of 6321441? 3, 7, 43003 List the prime factors of 864103. 864103 List the prime factors of 15153921. 3, 29, 58061 What are the prime factors of 27589482? 2, 3, 19, 80671 List the prime factors of 4417421. 4417421 What are the prime factors of 1375453? 17, 80909 List the prime factors of 236560. 2, 5, 2957 What are the prime factors of 89211? 3, 131, 227 List the prime factors of 523536. 2, 3, 13, 839 What are the prime factors of 240265? 5, 29, 1657 What are the prime factors of 1685442? 2, 3, 11, 25537 What are the prime factors of 4678244? 2, 263, 4447 What are the prime factors of 5428394? 2, 29, 173, 541 List the prime factors of 2357959. 107, 22037 List the prime factors of 8628262. 2, 229, 18839 List the prime factors of 6773409. 3, 250867 List the prime factors of 2187319. 2187319 What are the prime factors of 4995612? 2, 3, 193, 719 What are the prime factors of 215101? 17, 12653 List the prime factors of 107729. 17, 6337 What are the prime factors of 3726928? 2, 109, 2137 What are the prime factors of 2018795? 5, 61, 6619 List the prime factors of 7078033. 7078033 List the prime factors of 661189. 661189 List the prime factors of 699201. 3, 77689 What are the prime factors of 108027? 3, 4001 What are the prime factors of 5334068? 2, 23, 37, 1567 List the prime factors of 227564. 2, 56891 List the prime factors of 3083769. 3, 13, 26357 List the prime factors of 117905. 5, 23581 What are the prime factors of 2362025? 5, 107, 883 What are the prime factors of 328041? 3, 7, 41, 127 What are the prime factors of 418337? 418337 List the prime factors of 2452957. 13, 19, 9931 List the prime factors of 21071671. 971, 21701 What are the prime factors of 395650? 2, 5, 41, 193 List the prime factors of 572855. 5, 114571 What are the prime factors of 566829? 3, 62981 What are the prime factors of 436303? 7, 157, 397 What are the prime factors of 260151? 3, 17, 5101 What are the prime factors of 95228? 2, 7, 19, 179 List the prime factors of 742823. 127, 5849 List the prime factors of 2118708. 2, 3, 229, 257 What are the prime factors of 5153802? 2, 3, 79, 83, 131 What are the prime factors of 712029? 3, 237343 List the prime factors of 3751710. 2, 3, 5, 79, 1583 What are the prime factors of 534290? 2, 5, 23, 101 List the prime factors of 482507. 482507 List the prime factors of 21857708. 2, 401, 13627 List the prime factors of 2592342. 2, 3, 59, 2441 What are the prime factors of 557155? 5, 111431 List the prime factors of 19846070. 2, 5, 19, 67, 1559 List the prime factors of 871953. 3, 23, 12637 What are the prime factors of 22782957? 3, 19, 313, 1277 What are the prime factors of 10951313? 10951313 What are the prime factors of 38443855? 5, 41, 187531 List the prime factors of 836430. 2, 3, 5, 7, 569 List the prime factors of 356745. 3, 5, 17, 1399 List the prime factors of 14195375. 5, 19, 43, 139 What are the prime factors of 179454? 2, 3, 11, 2719 What are the prime factors of 283087? 7, 37, 1093 What are the prime factors of 17470? 2, 5, 1747 List the prime factors of 1531607. 7, 11, 19891 List the prime factors of 18983897. 18983897 List the prime factors of 14628700. 2, 5, 241, 607 What are the prime factors of 1612156? 2, 7, 13, 43, 103 What are the prime factors of 83507? 113, 739 List the prime factors of 135890. 2, 5, 107, 127 What are the prime factors of 6170141? 23, 268267 List the prime factors of 4593741. 3, 191, 8017 What are the prime factors of 11277391? 11277391 List the prime factors of 126883. 31, 4093 What are the prime factors of 184702? 2, 7, 79, 167 List the prime factors of 1050937. 53, 79, 251 List the prime factors of 1546402. 2, 11, 13, 5407 What are the prime factors of 2393875? 5, 11, 1741 List the prime factors of 61117. 7, 8731 What are the prime factors of 21632229? 3, 2403581 List the prime factors of 19928828. 2, 17, 293071 List the prime factors of 3360493. 31, 43, 2521 List the prime factors of 18381538. 2, 7, 1312967 List the prime factors of 1810783. 13, 139291 What are the prime factors of 3556099? 23, 154613 What are the prime factors of 10641753? 3, 29, 13591 What are the prime factors of 305138? 2, 29, 5261 What are the prime factors of 7188226? 2, 3594113 List the prime factors of 7818012. 2, 3, 191, 379 What are the prime factors of 199524? 2, 3, 13, 1279 List the prime factors of 705420. 2, 3, 5, 3919 What are the prime factors of 373134? 2, 3, 62189 List the prime factors of 475113. 3, 158371 List the prime factors of 190426. 2, 95213 What are the prime factors of 218995? 5, 7, 6257 List the prime factors of 7499280. 2, 3, 5, 31247 List the prime factors of 3985. 5, 797 List the prime factors of 275332. 2, 17, 4049 List the prime factors of 2737122. 2, 3, 43, 103 List the prime factors of 94728. 2, 3, 3947 List the prime factors of 99053. 99053 List the prime factors of 28476135. 3, 5, 31, 137, 149 What are the prime factors of 514703? 7, 73529 List the prime factors of 1005532. 2, 11, 22853 What are the prime factors of 148396? 2, 23, 1613 What are the prime factors of 9608583? 3, 151, 21211 What are the prime factors of 2352783? 3, 17, 46133 List the prime factors of 455769. 3, 89, 569 What are the prime factors of 250542? 2, 3, 31, 449 List the prime factors of 5310. 2, 3, 5, 59 What are the prime factors of 554122? 2, 461, 601 List the prime factors of 27066. 2, 3, 13, 347 What are the prime factors of 1448980? 2, 5, 13, 5573 What are the prime factors of 9498964? 2, 499, 4759 What are the prime factors of 2138911? 1049, 2039 What are the prime factors of 7385879? 67, 110237 What are the prime factors of 403728? 2, 3, 13, 647 What are the prime factors of 3402733? 3402733 List the prime factors of 3269868. 2, 3, 7, 67, 83 List the prime factors of 1024655. 5, 204931 List the prime factors of 55485. 3, 5, 137 List the prime factors of 12102. 2, 3, 2017 What are the prime factors of 1292224? 2, 61, 331 What are the prime factors of 516699? 3, 6379 List the prime factors of 219635. 5, 13, 31, 109 List the prime factors of 1118660. 2, 5, 55933 What are the prime factors of 508496? 2, 61, 521 What are the prime factors of 297714? 2, 3, 29, 59 What are the prime factors of 2397938? 2, 43, 27883 What are the prime factors of 13392344? 2, 7, 379, 631 List the prime factors of 10795593. 3, 673, 5347 List the prime factors of 313497. 3, 17, 683 List the prime factors of 2434469. 1297, 1877 List the prime factors of 203269. 11, 17, 1087 List the prime factors of 3468729. 3, 11, 257, 409 What are the prime factors of 10787152? 2, 43, 15679 What are the prime factors of 19781? 131, 151 List the prime factors of 1137161. 1137161 List the prime factors of 871553. 871553 What are the prime factors of 9210838? 2, 7, 13, 17, 229 List the prime factors of 4483093. 4483093 What are the prime factors of 188422? 2, 13, 7247 List the prime factors of 544933. 313, 1741 What are the prime factors of 89265? 3, 5, 11, 541 List the prime factors of 7128078. 2, 3, 19, 31, 2017 List the prime factors of 1056544. 2, 137, 241 What are the prime factors of 13930799? 13930799 List the prime factors of 2184942. 2, 3, 17, 31, 691 List the prime factors of 88854. 2, 3, 59, 251 List the prime factors of 29529306. 2, 3, 17, 19, 1693 List the prime factors of 2443. 7, 349 What are the prime factors of 1668235? 5, 333647 List the prime factors of 110851. 13, 8527 What are the prime factors of 11413274? 2, 5706637 List the prime factors of 1366859. 13, 105143 What are the prime factors of 162620? 2, 5, 47, 173 List the prime factors of 5802068. 2, 19, 76343 What are the prime factors of 114829? 11, 13, 73 List the prime factors of 101698. 2, 50849 List the prime factors of 29851582. 2, 67, 222773 What are the prime factors of 4251354? 2, 3, 708559 What are the prime factors of 3358367? 17, 197551 List the prime factors of 1358001. 3, 150889 What are the prime factors of 138664? 2, 17333 List the prime factors of 87008. 2, 2719 List the prime factors of 353657. 353657 What are the prime factors of 12193151? 23, 530137 List the prime factors of 1181184
{ "pile_set_name": "DM Mathematics" }
is prob of sequence im when two letters picked without replacement from oruoooiromiodrr? 1/105 Calculate prob of sequence wft when three letters picked without replacement from {f: 1, w: 9, g: 8, t: 2}. 1/380 Three letters picked without replacement from sjaqsfw. Give prob of sequence qwf. 1/210 Three letters picked without replacement from nunonnfu. Give prob of sequence fon. 1/84 Calculate prob of sequence jf when two letters picked without replacement from {f: 8, j: 2}. 8/45 What is prob of sequence uu when two letters picked without replacement from uxupxppxuuupzxupupx? 7/57 Calculate prob of sequence ddd when three letters picked without replacement from {y: 2, d: 13, f: 3, t: 1}. 286/969 What is prob of sequence xxxx when four letters picked without replacement from xxxx? 1 Two letters picked without replacement from cqqq. Give prob of sequence cq. 1/4 Calculate prob of sequence nw when two letters picked without replacement from jwjljqqqqqn. 1/110 Calculate prob of sequence mfmf when four letters picked without replacement from {m: 16, f: 2}. 1/153 Four letters picked without replacement from {u: 3, b: 2, x: 2, e: 2, t: 1, o: 2}. Give prob of sequence oueb. 1/495 Calculate prob of sequence up when two letters picked without replacement from dkuphhe. 1/42 Calculate prob of sequence it when two letters picked without replacement from itpap. 1/20 Two letters picked without replacement from {h: 1, k: 5, q: 3, o: 1, m: 3}. What is prob of sequence mq? 3/52 What is prob of sequence jy when two letters picked without replacement from gjogvggoggvvvgvjyggg? 1/190 Four letters picked without replacement from wiwwiviw. Give prob of sequence iwii. 1/70 Three letters picked without replacement from fkfdkgoogodoyfoodddd. What is prob of sequence koy? 1/570 Three letters picked without replacement from {i: 5, s: 5}. Give prob of sequence iss. 5/36 Two letters picked without replacement from fzkz. Give prob of sequence kf. 1/12 Four letters picked without replacement from zlrlgwwowwlogwwwg. Give prob of sequence wrzo. 1/4080 What is prob of sequence qq when two letters picked without replacement from {q: 4}? 1 Calculate prob of sequence by when two letters picked without replacement from {u: 4, t: 6, y: 1, i: 1, s: 2, b: 1}. 1/210 Calculate prob of sequence rbb when three letters picked without replacement from rrrrrbrrrrbrrrrrrr. 1/153 Two letters picked without replacement from djjujijjjujji. What is prob of sequence ud? 1/78 Two letters picked without replacement from udssuddufwa. Give prob of sequence wu. 3/110 What is prob of sequence iihi when four letters picked without replacement from hhiiiiggiiihihii? 6/91 Two letters picked without replacement from {s: 4, j: 6}. What is prob of sequence ss? 2/15 Four letters picked without replacement from {n: 1, j: 2, z: 1, c: 1}. What is prob of sequence nzzz? 0 Two letters picked without replacement from xlmanbbblblnmbnxnb. Give prob of sequence nm. 4/153 Three letters picked without replacement from {b: 2, n: 1, e: 1, f: 1}. What is prob of sequence fbn? 1/30 Three letters picked without replacement from tfmtt. What is prob of sequence ftm? 1/20 Two letters picked without replacement from llllzxlxxxlzl. What is prob of sequence zz? 1/78 What is prob of sequence rp when two letters picked without replacement from kpkkggakgkkpkr? 1/91 Four letters picked without replacement from {y: 1, b: 2, p: 1}. What is prob of sequence bypp? 0 What is prob of sequence kxsc when four letters picked without replacement from {c: 3, s: 1, t: 2, k: 1, x: 3}? 1/560 What is prob of sequence rr when two letters picked without replacement from rriiiiiiir? 1/15 Three letters picked without replacement from gjgggggg. What is prob of sequence gjg? 1/8 Two letters picked without replacement from {j: 10}. What is prob of sequence jj? 1 What is prob of sequence ar when two letters picked without replacement from bebara? 1/15 Two letters picked without replacement from aajta. Give prob of sequence jt. 1/20 Three letters picked without replacement from bbkbkkkkkkkkkb. What is prob of sequence kbb? 5/91 What is prob of sequence tp when two letters picked without replacement from {h: 3, a: 1, c: 1, p: 2, e: 1, t: 4}? 2/33 Three letters picked without replacement from {p: 6, b: 2, w: 7, i: 2, a: 1}. What is prob of sequence iwi? 7/2448 Calculate prob of sequence fff when three letters picked without replacement from ffhhf. 1/10 What is prob of sequence ee when two letters picked without replacement from eeoeeoooeoweoe? 3/13 Three letters picked without replacement from uxsfsshfuu. Give prob of sequence uhf. 1/120 What is prob of sequence opc when three letters picked without replacement from {g: 3, c: 1, p: 1, o: 2}? 1/105 Three letters picked without replacement from {e: 6, m: 1, l: 3, w: 3, v: 5}. Give prob of sequence wll. 1/272 What is prob of sequence hbvv when four letters picked without replacement from {v: 6, r: 3, b: 1, h: 3}? 3/572 Calculate prob of sequence mlll when four letters picked without replacement from {m: 10, l: 10}. 20/323 Three letters picked without replacement from wdaajaddkoadjja. What is prob of sequence oaa? 2/273 Calculate prob of sequence rxr when three letters picked without replacement from rrrrrrrrxrrr. 1/12 What is prob of sequence pepp when four letters picked without replacement from {w: 4, p: 13, e: 3}? 143/3230 Calculate prob of sequence llg when three letters picked without replacement from {g: 6, a: 1, e: 6, l: 6}. 10/323 What is prob of sequence xoo when three letters picked without replacement from xxxoxxxx? 0 What is prob of sequence ft when two letters picked without replacement from vctfctcvth? 1/30 What is prob of sequence zw when two letters picked without replacement from yzzw? 1/6 Three letters picked without replacement from {f: 3, h: 5, o: 3, a: 3, z: 1}. What is prob of sequence ooa? 3/455 What is prob of sequence ivix when four letters picked without replacement from {x: 1, i: 4, v: 6}? 1/110 Calculate prob of sequence ddrr when four letters picked without replacement from {d: 2, r: 9}. 1/55 What is prob of sequence vvjm when four letters picked without replacement from jfqmcvmv? 1/420 What is prob of sequence unu when three letters picked without replacement from {u: 2, s: 2, n: 1}? 1/30 Three letters picked without replacement from kkgqngqnsnssnngng. Give prob of sequence sks. 1/340 Three letters picked without replacement from {g: 3, t: 13, o: 1, n: 2}. What is prob of sequence tnn? 13/2907 What is prob of sequence ad when two letters picked without replacement from {a: 6, d: 13}? 13/57 Four letters picked without replacement from ssssssxsxssss. What is prob of sequence sxsx? 1/78 What is prob of sequence oood when four letters picked without replacement from {b: 6, m: 4, o: 5, d: 1}? 1/728 Four letters picked without replacement from ofwmmtfmfmoom. What is prob of sequence ofwt? 3/5720 Two letters picked without replacement from qrricrrchaaqir. What is prob of sequence qh? 1/91 Three letters picked without replacement from gnzrgnnn. Give prob of sequence zrg. 1/168 What is prob of sequence aaaa when four letters picked without replacement from {a: 9}? 1 Calculate prob of sequence oorx when four letters picked without replacement from rxxoxrrxorrorooorrr. 15/1292 Two letters picked without replacement from qooquqoq. What is prob of sequence qu? 1/14 Three letters picked without replacement from {l: 13, j: 6}. Give prob of sequence jjl. 65/969 Calculate prob of sequence bzbb when four letters picked without replacement from {z: 4, b: 14}. 91/765 Four letters picked without replacement from {w: 8, u: 3}. What is prob of sequence wuuu? 1/165 What is prob of sequence xq when two letters picked without replacement from {j: 4, q: 7, x: 2}? 7/78 Three letters picked without replacement from {v: 3, e: 1, c: 5, o: 7, j: 2}. What is prob of sequence ovj? 7/816 What is prob of sequence zjl when three letters picked without replacement from lllllljllzlljjlll? 13/1360 Calculate prob of sequence clc when three letters picked without replacement from cccllcclllllc. 35/286 What is prob of sequence iiii when four letters picked without replacement from {d: 5, i: 15}? 91/323 Calculate prob of seq
{ "pile_set_name": "DM Mathematics" }
60019, -80026, -100033, -120040? -140047 What comes next: -42408, -42401, -42394, -42387, -42380, -42373? -42366 What comes next: -21318, -42676, -64034, -85392? -106750 What comes next: 87, 206, 529, 1158, 2195, 3742? 5901 What comes next: -57615, -230406, -518391, -921570, -1439943, -2073510? -2822271 What is next in -1101, -1102, -1103? -1104 What is the next term in -190, -1636, -5604, -13366, -26194, -45360, -72136? -107794 What comes next: 113, 103, 97, 101, 121, 163, 233? 337 What is next in -245, -1088, -2487, -4442, -6953, -10020? -13643 What is the next term in 1145, 1860, 2565, 3254, 3921, 4560, 5165, 5730? 6249 What is next in -611, -537, -331, 73, 741? 1739 What comes next: 193, 1726, 5899, 14032, 27445? 47458 What is next in 4239, 4244, 4263, 4296, 4343, 4404? 4479 What is next in -2228, -2301, -2362, -2405, -2424, -2413? -2366 What is next in -12, -45, -104, -189? -300 What comes next: 601, 2418, 5461, 9736, 15249? 22006 What is next in -10234, -20346, -30458, -40570? -50682 What comes next: -246415, -246297, -246189, -246097, -246027, -245985, -245977? -246009 What comes next: -266, -253, -236, -215? -190 What comes next: 126, 182, 226, 264, 302, 346? 402 What is next in 37049, 37058, 37069, 37082, 37097, 37114? 37133 What is next in 695727, 1391454, 2087181, 2782908, 3478635, 4174362? 4870089 What is next in 430, 451, 440, 397? 322 What is the next term in -99, -958, -3319, -7932, -15547, -26914, -42783? -63904 What comes next: -97, -194, -305, -436, -593, -782, -1009, -1280? -1601 What is the next term in -12437, -49735, -111897, -198923, -310813, -447567, -609185? -795667 What is the next term in -230943, -461888, -692833, -923778, -1154723? -1385668 What is next in -12631, -25033, -37433, -49831? -62227 What is the next term in -5778950, -5778951, -5778952, -5778953, -5778954? -5778955 What comes next: 9547, 19089, 28631? 38173 What is next in -26541, -53032, -79535, -106056, -132601, -159176, -185787, -212440? -239141 What is the next term in 394244, 394232, 394232, 394250, 394292? 394364 What is the next term in -58536, -117068, -175600, -234132, -292664? -351196 What comes next: -2363, -2301, -2197, -2051, -1863? -1633 What is next in 11208, 44835, 100872, 179313, 280152? 403383 What comes next: -337360, -337361, -337362, -337363, -337364? -337365 What is next in 43870, 43886, 43918, 43972, 44054, 44170, 44326, 44528? 44782 What is the next term in -11, 289, 581, 859, 1117, 1349, 1549, 1711? 1829 What is next in -1776, -1842, -1898, -1938, -1956? -1946 What comes next: 68, 332, 776, 1400, 2204, 3188? 4352 What is next in 286500, 286497, 286492, 286485, 286476, 286465? 286452 What comes next: -25515, -51032, -76549, -102066, -127583, -153100? -178617 What is next in -23612, -47227, -70840, -94451, -118060, -141667, -165272? -188875 What is the next term in 255, 374, 493? 612 What is the next term in -707, -793, -931, -1115, -1339, -1597? -1883 What is the next term in -14765, -29500, -44231, -58958? -73681 What comes next: -286, -359, -480, -649, -866, -1131, -1444? -1805 What comes next: -331, -1420, -2509, -3598, -4687, -5776? -6865 What is the next term in 11478, 22963, 34448? 45933 What comes next: 3848, 7266, 10686, 14108, 17532, 20958, 24386? 27816 What comes next: 3043, 6099, 9155, 12211, 15267, 18323? 21379 What comes next: 207001, 414006, 621013, 828022, 1035033, 1242046? 1449061 What is next in -483, -689, -895, -1101? -1307 What comes next: -24, -82, -190, -360, -604, -934, -1362, -1900? -2560 What comes next: -510501, -510499, -510497? -510495 What comes next: -920, -1850, -2774, -3686, -4580? -5450 What comes next: -55, 1, -5, -103, -323, -695, -1249, -2015? -3023 What comes next: 1097, 3898, 8423, 14678, 22669, 32402? 43883 What is the next term in 317, 506, 565, 494, 293? -38 What is the next term in 146, 313, 444, 521, 526, 441, 248? -71 What comes next: -36, -135, -292, -507? -780 What comes next: -314, -724, -1224, -1814, -2494, -3264, -4124? -5074 What is the next term in -2809, -2816, -2829, -2848, -2873? -2904 What is next in 1629, 3153, 4473, 5487, 6093, 6189, 5673, 4443? 2397 What is the next term in 285, 458, 631, 804, 977? 1150 What comes next: 284300, 284312, 284330, 284354, 284384, 284420, 284462? 284510 What comes next: 21147, 42289, 63431, 84573? 105715 What comes next: -1782, -3619, -5468, -7335, -9226, -11147, -13104? -15103 What is next in -2681, -4026, -5371, -6716? -8061 What is the next term in -24742, -24823, -24904? -24985 What is the next term in 85, 98, 149, 262, 461, 770? 1213 What is the next term in -540556, -540558, -540560, -540562? -540564 What is next in 413, 859, 1305, 1751, 2197? 2643 What comes next: -9035, -17808, -26581? -35354 What comes next: 3082, 3093, 3102, 3103, 3090, 3057, 2998? 2907 What is the next term in -346, -743, -1140, -1537, -1934, -2331? -2728 What is the next term in -49, -350, -1167, -2758, -5381, -9294, -14755? -22022 What comes next: 1489, 1623, 1761, 1903? 2049 What comes next: -324, -365, -398, -423? -440 What is the next term in -66, 201, 470, 741? 1014 What is next in -41, -317, -1091, -2615, -5141? -8921 What is the next term in 1884, 7489, 16796, 29781, 46420, 66689? 90564 What is the next term in 76, 329, 1006, 2317, 4472, 7681, 12154? 18101 What comes next: -45, -109, -197, -309, -445, -605? -789 What comes next: -3572, -7160, -10748, -14336? -17924 What comes next: 671, 1327, 1983? 2639 What is next in -34579, -34578, -34577, -34576, -34575? -34574 What comes next: 1320, 2642, 3962, 5280, 6596? 7910 What is next in 57234, 57218, 57202? 57186 What is next in -712, -742, -828, -1000, -1288, -1722? -2332 What comes next: -271501, -271491, -271481, -271471, -271461? -271451 What is the next term in -22764, -45540, -68314, -91086, -113856? -136624 What is the next term in -20364, -40767, -61168, -81567, -101964, -122359? -142752 What is the next term in -601, -607, -601, -583, -553? -511 What comes next: -1526, -3052, -4582, -6116, -7654? -9196 What comes next: 371, 1493, 3381, 6041, 9479, 13701, 18713? 24521 What comes next: -21329, -21322, -21315, -21308, -21301, -21294? -21287 What is the next term in 11023, 22054, 33085, 44116? 55147 What comes next: 366861, 733722, 1100581, 1467438, 1834293, 2201146, 2567997? 2934846 What comes next: -2065547, -4131096, -6196645, -8262194, -10327743? -12393292 What is the next term in -45633, -45651, -45669? -45687 What is the next term in -257, -612, -977, -1358, -1761, -2192, -2657, -3162? -3713 What is the next term in -60, -507, -1720, -4083, -7980, -13795? -21912 What comes next: 3668, 12498, 27214, 47816? 74304 What is next in -342, -619, -896, -1173? -1450 What is the next term in -42287, -84569, -126849, -169127, -211403, -253677, -295949? -338219 What is the next term in 15324, 15286, 15224, 15138, 15028, 14894, 14736? 14554 What is next in 5008, 5060, 5146, 5266? 5420 What is next in 18248, 18257, 18274, 18299, 18332, 18373, 18422? 18479 What comes next: -1032, -1042, -1058, -1080, -1108, -1142, -1182? -1228 What is next in 232, 692, 1428, 2440? 3728 What comes next: -29572, -118295, -266168, -473191, -739364, -1064687? -1449160 What is next in -73, -8, 97, 242, 427, 652, 917? 1222 What is the next term in 2899, 11574, 26035, 46282, 72315? 104134 What is the next term in 178620, 357228, 535836, 714444, 893052, 1071660? 1250268 What comes next: 1090, 4608, 10472, 18682, 29238, 42140? 57388 What is the next term in -5630, -11259, -16890, -22523, -28158, -33795, -39434? -45075 What comes next: -2, -365, -958, -1769, -2786, -3997, -5390? -6953 What comes next: 4479, 8961, 13443, 17925? 22407 What comes next: -90, -339, -1048, -2457, -4806, -8335, -13284, -19893? -28402 What is the next term in 930423, 1860846, 2791269, 3721692, 4652115, 5582538? 6512961 What is the next term in 3903, 7798, 11693, 15588? 19483 What is next in 1376602, 1376604, 1376606? 1376608 What comes next: -353, -749, -1183, -1661, -2189, -2773, -3419? -4133 What comes next: 353, 671, 1517, 3149, 5825, 9803, 15341, 22697? 32129 What is the next term in 112, 459, 1026, 1807, 2796, 3987, 5374, 6951? 8712 What is next in -4240, -4219, -4184, -4135, -4072? -3995 What comes next: -176188, -352375, -528564, -704755? -880948 What comes
{ "pile_set_name": "DM Mathematics" }
e -f*p = -2*p - 6. Suppose p*k = 5*k + 10. Sort k, -4, 4 in descending order. 4, -4, k Suppose 0*i - 5*i = -20. Suppose 2*b - b = i. Sort b, -2, -4 in increasing order. -4, -2, b Let b = 5.4 - 5.4. Let k = -0.12 - -5.12. Sort k, b, -0.4 in descending order. k, b, -0.4 Let k = 0 + 1. Suppose -11 = -4*j + 1. Put -2/5, k, j in descending order. j, k, -2/5 Let i = -7 - -4. Let w = -9 - -13. Put i, 1/12, w in descending order. w, 1/12, i Let d = -0.2 + 0. Put d, -5, -3 in decreasing order. d, -3, -5 Suppose 6*m - 3*m + 12 = 0. Let u(k) = -k**2 - 3*k + 4. Let g be u(m). Suppose d - 9 = 2*d - 2*a, 5*a = -2*d + 9. Put d, g, 2 in increasing order. d, g, 2 Let u(s) = 2*s**2 + 4*s - 1. Let l be u(-3). Let y be 12/(-20) - 7/l. Sort 2, y, 1 in increasing order. y, 1, 2 Let m = -2999/27 + 334/3. Let d = m + -23/297. Put 3, 1, d in descending order. 3, 1, d Suppose 2*j - 10 = d, 3*j + 2*d = 7 + 1. Let t = 76 - 75. Sort t, j, -3 in decreasing order. j, t, -3 Let o = 16 + -12. Suppose 0 = 2*s - 5*s - 3. Sort 0, o, s in descending order. o, 0, s Let t(m) = 9*m**3. Let w be t(1). Suppose 6*z = w*z. Sort -3, z, 1 in descending order. 1, z, -3 Let u = -33 + 35. Sort -5, -2, u in descending order. u, -2, -5 Suppose -2*f + 2 = -5*b, 2*b = -2*b - 8. Let n(q) = -q + 10. Let h be n(8). Sort -3, f, h in decreasing order. h, -3, f Suppose -12*h + 8*h + 4 = 0. Sort 8, -2, h. -2, h, 8 Let w be (-5)/((-10)/6) - -1. Sort w, -2, 10 in ascending order. -2, w, 10 Let u = 0.1 + 1.4. Let q = 11 - 12. Let x = u + q. Sort x, -0.5, 3. -0.5, x, 3 Suppose i + 1 = 2*t + 10, -i = t + 6. Let d = -2 - -9. Let s = t + d. Put 5, s, 4 in descending order. 5, 4, s Let c = 3 - 1. Let n be 4 + -2 + 5*1. Suppose -1 = -2*t + n. Sort t, c, -5. -5, c, t Suppose u = m + 2*u + 2, -2*u = 4. Suppose 5 + m = 5*q. Put -4, 2, q in decreasing order. 2, q, -4 Let r(j) = j**2 - 6*j - 7. Let m be r(6). Let i = m + 12. Put i, 0, 3 in ascending order. 0, 3, i Suppose 2*p + 0*p = -5*q - 19, 2*p + 2*q + 10 = 0. Let k = 6 + p. Put 0, k, -3 in descending order. k, 0, -3 Suppose -3*y = -5*y - 2. Let a be (-2)/y - (-4)/2. Let u = -3 - 2. Put u, a, -4 in ascending order. u, -4, a Let p = 5 - 5. Suppose p = -2*l + 5*l + 12. Sort -3, l, 0. l, -3, 0 Let j = 6 + -4. Let c = -5.7 - -4. Let f = c + j. Sort 5, -2, f in decreasing order. 5, f, -2 Let o(b) = b + 5. Let k be o(-5). Let f = -84 + 83. Put k, 5, f in decreasing order. 5, k, f Let y(c) = -2*c**2 + 3*c. Suppose 7*a - 12 = a. Let i be y(a). Sort 0, i, -0.3. i, -0.3, 0 Let g(p) = p + 18. Let o be g(-13). Sort o, 1, -2. -2, 1, o Let v = -1 + -3. Sort -3, -2, v in increasing order. v, -3, -2 Suppose -5 = -5*z - 0*z. Let r be (-1)/2*(1 + z). Sort -5, 3, r in decreasing order. 3, r, -5 Let l be -2 + (-25)/(-5)*1. Put 2, 1, l in decreasing order. l, 2, 1 Let b = -22 + 21. Sort 4, -2, b in descending order. 4, b, -2 Let b be -2*(0 + 2/18). Let a = 0.37 - 0.07. Sort a, b, -4 in decreasing order. a, b, -4 Let h = 0.09 + -0.19. Sort 2/5, h, 0.2 in descending order. 2/5, 0.2, h Suppose -6 = 5*o - 8*o. Sort o, 12, -2 in ascending order. -2, o, 12 Let f = 1.2 - -3.8. Let i = f - 9. Let z = -0.6 + 1. Sort -2, i, z. i, -2, z Let r = 1.6 - -1.4. Sort r, -0.2, -1/7 in descending order. r, -1/7, -0.2 Let z = 17 + -17.4. Sort -4, z, -5. -5, -4, z Let h be (-6 - 9/(-3))*(-3 - -4). Sort 3, 5, 0, h in increasing order. h, 0, 3, 5 Suppose a + 9 = -3*t + 3, -4*t - 27 = -5*a. Let j(d) = -d + 2. Let i be j(6). Sort t, i, 4 in decreasing order. 4, t, i Let l = -26/35 - -92/105. Sort l, 0.5, 0.4, -4 in ascending order. -4, l, 0.4, 0.5 Let t be (45/(-36))/(18/(-8) + 2). Let v(c) = c**2 - 4*c - 2. Let h be v(5). Suppose 0*y + 8 = 2*y. Sort y, t, h. h, y, t Let b be ((-30)/25)/(2/5). Sort 2, 0, b. b, 0, 2 Let l = 0.08 + -0.48. Sort -2, l, 2/3. -2, l, 2/3 Let m be (-2)/(-3 + 1)*-1. Sort -5, 2, m, 0 in descending order. 2, 0, m, -5 Let w = -0.569 - -0.069. Put 4, w, 0.1 in ascending order. w, 0.1, 4 Let c = 9 + -5. Let q(y) = -y**2 + 3*y - 1. Let t be q(5). Let m = -120/11 - t. Put c, m, 0.2 in increasing order. m, 0.2, c Let d be (9/24)/((-27)/36). Sort d, 0.3, 2/3, 4. d, 0.3, 2/3, 4 Suppose -22*z = -15*z + 14. Sort 15, z, 4 in decreasing order. 15, 4, z Let g(c) = c - 14. Let n be g(19). Sort 9, -3, 4, n in descending order. 9, n, 4, -3 Let r be ((-3)/2)/(7/28). Let c = r + 2. Let k = -0.12 + 1.12. Sort k, c, 2/5. c, 2/5, k Suppose 5*h = -3*f + 22, f + 20 = 4*h + 4*f. Let j = 8 - 13. Sort j, 0, h in descending order. h, 0, j Suppose g = -4*w - 37, 3*w - 4*w - 11 = 2*g. Let u be (2 + -5)/(w/(-12)). Let r = -8 - -3. Put u, r, 3 in increasing order. r, u, 3 Let g be (5/2)/((5/4)/1). Put g, -1/8, -2/3, 0.3 in ascending order. -2/3, -1/8, 0.3, g Let n = -13.2 + 11.2. Sort n, 0.3, -1, -1/2 in descending order. 0.3, -1/2, -1, n Let v(a) = -3*a. Let r be v(-1). Suppose 0 = 2*o + 1 - r. Sort o, -3, 4 in increasing order. -3, o, 4 Let z be 1 + -3 - 2 - -4. Sort z, -1, -0.1 in decreasing order. z, -0.1, -1 Let y = -0.2 + 0.4. Let z = y + 0.8. Let w = 6 - 11. Put z, 2, w in ascending order. w, z, 2 Let i = 0.7 + -1.2. Put 3, 5, i, -2 in ascending order. -2, i, 3, 5 Let o = 1 - 1. Suppose 3*a + 7*a = -40. Sort -1, o, a. a, -1, o Suppose -5*s - 8 = -s. Sort 2, 5, s in descending order. 5, 2, s Let y = 51 + -25. Suppose -95 + y = -3*o - 3*k, -o + 5*k + 35 = 0. Suppose g - 6*g + o = 0. Put 4, 3, g in increasing order. 3, 4, g Suppose 11*b - 7*b = 0. Let g = -0.4 + -2.5. Let d = -0.1 + g. Put -0.5, b, d in descending order. b, -0.5, d Let q(c) = c**2 + 5*c - 4. Let y be q(-6). Let w be (-7)/(-2) + (-2)/4. Sort w, -1, y. -1, y, w Let m be (-2)/(-3) - (-10)/(-6). Let s(h) = h**3 - 3. Let i be s(0). Let z be i/(((-27)/12)/(-3)). Sort z, m, 5. z, m, 5 Let h = -12 - -7.4. Let t = -5.5 - -0.5. Let g = h - t. Put -5, 0.5, g in decreasing order. 0.5, g, -5 Suppose -l = -0*l + 4*s - 410, -3*s = -4*l + 1545. Let h = l + -5852/15. Sort 2, h, 3. h, 2, 3 Let g(v) = -v**3 - 3*v**2 - v + 1. Let f be g(-1). Put -8, 3, f, 1 in decreasing order. 3, 1, f, -8 Let m be (12/(-9))/(2/(-9)). Let c = 3 - m. Sort 3, -4, c in increasing order. -4, c, 3 Let o be -3*2*(-15)/9. Let t be (-2)/o - 6/(-20). Put 1/2, t, 5 in ascending order. t, 1/2, 5 Let z be 26/26*(1 + -1). Sort -4, z, -2 in descending order. z, -2, -4 Let x be (3 - (-42)/(-10)) + 1. Sort -3, 1/4, -1, x. -3, -1, x, 1/4 Suppose 0 = c + 2 - 4. Suppose -4*y - 3 = 2*n - 29, -5*y + c*n = -46. Suppose j - 6 = -2*k, j + j = -2*k + y. Sort 1, j, -5 in increasing order. -5, 1, j Suppose 0 = -5*b - 0*b. Suppose -2*i = -0*i - 4. Suppose b = x + i*x - 15. Sort x, -3, 3 in decreasing order. x, 3, -3 Let k(i) = i**3 - 7*i**2 - 7*i - 4. Let o be k(8). Suppose o*f = 26 - 10. Sort f, 3/8, 2 in decreasing order. f, 2, 3/8 Suppose -33 + 13 = 4*f. Sort f, 5, 7 in ascending order. f, 5, 7 Let q be (-28)/5 + 6 - (-46)/(-40). Sort 0, 1/13, q in decreasing order. 1/13, 0, q Let k = 6 + -12. Let y be 1/(3/k) - 1. Sort 1, y, 5. y, 1, 5 Let w be ((-1)/(-4))/(15/(-20)). Sort -0.1, w, -6. -6, w, -0.1 Let u be 2/8 + ((-209)/(-4))/11. Sort 3, u, -4. -4, 3, u Let a(j) = -3*j - 16. Let g be a(-7). Put 1, g, 2, 4 in descending order. g, 4, 2, 1 Let q(y) = -y**3 + 6*y**2 - 6*y + 3. Let g be q(5). Sort -5, g, -6. -6, -5, g Let m(r) = -r**2 + 11*r - 13. Let n be m(10). Let f = -0.5 + 1. Put n, 4, f in ascending order. n, f, 4 Let n(x) = -x**3 - 13*x**2 + 15*x + 18. Let j be n(-14). Let b be j/(-14) + (-10)/14. Put 1, -4, b in descending order. 1, b, -4 Let t = -116 + 118. Suppose 3 = -o + 2*c, -6*o + 2*o - 2*c + 18 = 0. Sort -1/3, o, t in decreasing order. o, t, -1/3 Suppose 0 = 8*i - 3*i - 5. Suppose -3*q = i - 4. Sort q, 2, 0. 0, q, 2 Let o be ((-6)/(-4))/(3/4). Sort -3, o, -4, -1. -4, -3, -1, o Let r = 0.62 - 0.5. Let i = 1.88 + r. Sort i, 5, -4 in ascending order. -4, i, 5 Suppose 2*r = 3*c - 20, -2*c = 2*c + 5*r + 4. Let t be (24/16)/(2/4). Suppose 25 = 5*n, t = 3*f - 5*n + 31. Put c, f, 1 in increasing order. f, 1, c Let z = -7 + 10. Suppose 0 = -3*f - 0*f - 15. Sort f, z, -3 in decreasing order. z, -3, f Let m = 0 + 0. Let w(v) = -4*v**3 + 4*v - 5. Let c(i) = -5*i**3 + 5*i - 5. Let t(f) = 3*c(f) - 4*w(f). Let b be t(m). Sort 2, b, -1. -1, 2, b Let q = -2 + 1.8. Let p be -1 + (1443/(-636) - -3). Let t =
{ "pile_set_name": "DM Mathematics" }
(4 - (47 - 84)) + (2 - 12 - 0). 31 Evaluate -5 - (-14 + (-8 + 1 - -7)). 9 Evaluate 5 - (-5 + 12 - -9) - 7. -18 What is (2 + 42 - (-8 + 5)) + -9 - 2? 36 What is -4 + 9 - (6 + (2 - 16))? 13 (24 + -43 - -17) + (-2 - 4) + -2 -10 What is 23 + -1 - (25 - (-10 + 22))? 9 What is the value of -19 + -1 - (214 - 227) - (12 - 0)? -19 Evaluate (-12 - -21) + -8 + 3 + 0. 4 What is the value of 1 + -11 + -3 + 13? 0 What is (0 - (-2 - -20)) + (12 - 5) + -2? -13 Calculate 12 + (7 - (10 + -5)). 14 What is the value of -8 - (-7 + (5 - 23))? 17 Evaluate -19 + 39 + -18 + 14. 16 Calculate 25 - 15 - 6 - (2 - 0). 2 ((2 - 1) + -8 - -10) + -5 + -17 -19 What is 14 - (19 + -14 - -4)? 5 What is -3 + 8 - (5 + (15 - 16))? 1 What is 49 + -49 + (3 - 2 - 2)? -1 What is (-265 - -281) + 1 + 1 + -2 - -5? 21 -5 - (4 + (-17 - -12)) -4 What is 7 + -1 - (-1 - -17)? -10 Calculate -1 + 2 - (-24 - -29). -4 Evaluate 11 + (-10 - (-4 - -5)). 0 What is -7 - 3 - 3 - (1 - -3) - -7? -10 What is (17 - 15) + -6 + -2 + -5? -11 (2 - (0 + 3)) + -4 + -136 + 133 -8 Calculate 2 + -1 + 9 + 0 - 9. 1 Evaluate (11 - (8 + -10)) + -9 + -14 + 0. -10 What is (-12 - (-7 - 9)) + 3? 7 What is (2 - 1) + -6 - (-16 - (18 + -28))? 1 Calculate -1 + (0 - -5) + (32 - (-23 - -62)). -3 (-7 + 1 - ((36 - 14) + -24)) + -10 -14 15 + (-21 - -8) + 20 + 7 29 What is 1 + 0 + 22 + (-13 - 10) + -31? -31 Evaluate -20 - ((4 - 1) + -10 + 0 + 2). -15 What is the value of 3 - (0 + -10 + 8 - 2)? 7 What is the value of 35 - 17 - (14 - 0)? 4 Evaluate 5 + (9 + -12 - -5) + -8. -1 What is -2 + (3 - 6) + 0 + -3 + 2? -6 (9 - (9 - 2)) + -10 + 9 1 Calculate 2 + -13 + 0 + 8 + -26 + 21. -8 What is (18 + -22 + (7 - 0) - 13) + 4? -6 (19 - (-3 + 7 - -9)) + (-16 - -1) -9 Calculate 8 + (-85 + 45 - (-1 - 11)). -20 5 + (3 + -8 - -17) + -45 -28 What is the value of (14 - (-10 + 19)) + (-5 - -29) - 5? 24 Evaluate -6 - (-13 + 17 + 12 - (2 + 6)). -14 Calculate (-2697 - -2722) + (0 - 1 - (7 - 0)). 17 -33 + 18 + 33 - 39 -21 17 + (20 - 45) + 11 3 What is (14 - 20 - 2) + (3 + -4 - 1)? -10 Evaluate -19 - -12 - ((43 - 45) + 1 + -1). -5 (-1 + 4 + -5 - 2) + 1 + 7 4 Evaluate (28 - (-18 - -23)) + -15. 8 Evaluate (9 - (3 + 5)) + (2 + -8 - 3). -8 -5 + 2 + 0 - ((73 - 47) + -5) -24 Calculate 12 - (17 + (-9 - (-6 + 6))). 4 Evaluate 1 - -16 - (8 + 20). -11 What is (-4 - (-5 - 6)) + (16 - -2)? 25 Evaluate -4 + 1 + (-31 - -41) + -9. -2 What is (20 - 24 - (2 + -12)) + -8? -2 Calculate 16 - (4 - -12) - -24. 24 Evaluate 48 - (-3 + 48 + -24). 27 0 + -6 + (-75 - -87) 6 Calculate -51 - -35 - (-13 + 2). -5 What is the value of (3 - -1) + (0 - 0) + 7 + -4? 7 What is -13 - ((-302 - -283) + 12 + -1)? -5 Evaluate (-9 - -16) + 4 + -1 + 3. 13 -14 + (-10 - 1) + 23 -2 What is the value of 3 - (-1 - (4 - (-2 - -7) - 2))? 1 What is -12 - (-28 - -13) - 16? -13 Calculate -2 - (3 - (-2 - (-10 + 17))). -14 What is the value of -1 + 2 + -1 + -18 + (17 - 15)? -16 What is the value of -18 + 17 - (1 + -4) - (-7 - 0)? 9 What is the value of -14 + -1 + 14 + -9? -10 What is -10 + 2 + 15 + -17? -10 What is 8 + 5 + -12 + 12? 13 What is the value of (10 + (-1 - 6) - 5) + -14? -16 What is (4 - (4 - (-2 - 2 - 1))) + 17? 12 -8 - (-11 + (33 - (10 + 3))) -17 94 + -90 - (-2 + (-1 - -2) - 11) 16 What is the value of -56 - -29 - (-5 - -2)? -24 What is the value of (-11 + -10 + 20 - -11) + (-1 - 3)? 6 What is 24 - (27 + (-23 - -16))? 4 19 + -5 + -12 + 5 7 Calculate (-1 - -5 - (-55 - -59)) + 4 + -3. 1 -5 + 17 - ((-1 - -2) + (60 - 63)) 14 Calculate 21 - (-40 + 46 + -4 + (-1 - 13)). 33 What is the value of -1 + 10 + (-14 - -10) + (0 - -1)? 6 Evaluate -24 - (13 + (10 - 32)). -15 -3 + (5 - 6) + 4 + 3 - -5 8 What is (31 - 39) + 24 - (5 - (-3 + 5))? 13 What is the value of 24 - (19 - -2) - -13? 16 Evaluate 10 - (10 + -6) - (-4 + 8). 2 What is the value of (13 - (-8 + 14)) + -4 + -19? -16 Calculate 12 + -12 + -1 + -2. -3 -2 + 1 - (75 - 75) -1 Evaluate 5 - ((4 - 5) + 4 + 7 - 6). 1 19 - (1 + 0) - -5 23 Evaluate 1 + -14 - -10 - -8. 5 Evaluate 1 - -5 - -9 - 24. -9 2 - 18 - (-8 - (0 + -2)) -10 What is 5 + 9 - ((-6 - -25) + 0 + -11)? 6 Calculate (85 - 28 - 72) + (-1 - -42). 26 Calculate 5 + -4 - (1 + 3). -3 Calculate 15 + -15 + 7 - (-82 - -74). 15 What is 10 - 0 - 3 - (-3 + 18 - -8)? -16 What is the value of -3 + -19 - (-40 - -16)? 2 0 + -5 + -10 + (-10 - -34) 9 What is -1196 + 1200 - (-4 + (0 - 0) + 0)? 8 What is (-37 - -51 - 19) + 35? 30 What is the value of 236 + -235 - (10 + 1)? -10 What is 17 - (-9 - (8 + -2 + -10))? 22 Calculate 2 + -3 + 3 - (-41 - -44). -1 What is the value of -30 - (-44 - (-17 + 16))? 13 What is -8 - -3 - (-1 - 12) - (16 - 21)? 13 Calculate 1 + (7 - 10 - -8) + (0 - 3). 3 Evaluate -3 + -24 + -37 + 37. -27 What is -2 + 1 + 6 + 9 + -5? 9 Evaluate -3 + -4 - -16 - 11. -2 Evaluate 11 - 17 - -3 - -5. 2 What is 32 - (-27 + 28) - 22? 9 Calculate 17 + 6 + -4 + (-4 - -3 - 4). 14 What is the value of 3 + 0 + -1 + (27 - -11 - 42)? -2 Evaluate 0 - (-9 + 2 + 7) - (1 + -1). 0 What is the value of 57 + 27 + -72 + 1 + 22? 35 Calculate 15 - (11 + -11 - (-2 + 4)). 17 (18 - (3 + -4 + 13)) + -19 -13 Calculate 1 + 1 + (-29 - -21). -6 Calculate (-1 - 0) + -379 + 408. 28 What is 6 + ((-3 - -2) + 6 - (-38 + 41))? 8 Calculate 5 + -28 + -22 + 30. -15 153 - 182 - (1 + 4 + -10) -24 Calculate 7 - (34 + -22 + 4). -9 (-10 - (3 - 6)) + -1 + 19 + -1 10 2 + (22 - 10 - 9) + (0 - 2) 3 Calculate 3 + (4 + -11 - -1) + -3 + 11. 5 Evaluate 19 + -42 - (-5 - (3 + -2 + -1)). -18 Evaluate -24 + 5 + 13 + (-2 - -5) + 11. 8 -24 + 3 + 22 + 4 5 Calculate (-2 - (-3 + 1 - -11)) + 267 + -271. -15 -4 + (4 - (22 + -15)) -7 What is (11 - (32 - (14 - 30))) + 2 + 1? -34 Evaluate 36 + -8 + 2 - 11. 19 What is the value of -7 + (-9 - (0 - 9)) + 10? 3 Calculate (20 + -22 - 10) + 26. 14 What is -41 + -23 + 48 + -4? -20 -6 + -6 + -11 + 10 + (2 - -2) -9 Evaluate 2 + 6 - (151 + -142). -1 What is the value of 9 + -21 + (-15 - 3) + 9? -21 What is 2 + 9 - (-985 + 1008)? -12 What is 2 + 5 - 2 - 8? -3 -50 - (-27 + 0 + 15) - -11 -27 What is -33 + 61 - 32 - 23? -27 Calculate -26 + (4 - (-14 - 8)). 0 Evaluate 166 + -164 + (21 - 0) + -5. 18 What is the value of -7 - (-10 - (3 + -9 - 9))? -12 What is (-8 - (-36 + -2)) + (2 - (7 - 0))? 25 Evaluate 3 + 14 + -27 + -2. -12 What is (3 - 1) + 388 + -389? 1 What is the value of 1 - -10 - (-461 + 484)? -12 What is the value of -7 - ((12 - 2) + (55 - 53))? -19 Calculate -1 + -2 + 8 - -4 - (46 - 18). -19 Evaluate 3 + (-3 - -4) + (1 + -2 - 5). -2 Evaluate 7 - ((11 - 3) + (5 - 13) + -4). 11 Evaluate -9 + 6 + 11 + -11 - -11. 8 Calculate -9 + (19 - -8) + -11 + -13. -6 What is the value of -13 + (30 - 27) + (-3 - -12)? -1 Evaluate (0 - -44) + -3740 + 3696. 0 Calculate (24 - 16) + -24 - -11 - -14. 9 Evaluate -24 - (-26 + 13) - 0. -11 What is the value of -32 + -33 + 15 + 35? -15 Evaluate 7 + 2 + 0 - (-49 - -63). -5 -21 - (13 + -23 - 0) -11 Evaluate (11 - 23) + 6 - -8. 2 20 - (-20 - -16) - 4 20 Evaluate (9 - 0) + -4 + -36 + 26. -5 (33 + -10 - 34) + (36 - 1) 24 Calculate -2 + 6 + -14 + 0 + 3. -7 Calculate 13 + (101 - 90 - (30 - -1)). -7 -10 + 0 - (-68 + 42 - -23) -7 -39 + 50 - (9 - -5 - -1) -4 What is (-109 - -16) + 25 - -40? -28 Calculate 11 - (10 + 0 + -3). 4 What is the value of -17 + 7 + (0 - -3)? -7 What is (29 - 17) + 1 + -9 - (0 - -19)? -15 What is -1 - 2 - (-59 + 39 - -4)? 13 Evaluate (-32 - -50 - 24) + 9. 3 What is the value of -4 - (-8 + 5) - (-13 + 12)? 0 What is the value of (-27 + 18 - -15) + 2 + -1? 7 Calculate -7 - ((-14 - 1) + 5 - -27). -24 What is the value of -8 - (-1 + (-3 - (7 + -5)))? -2 (-11 - -10) + (0 - -8) + 9 16 11 + -20 + -3 + -2 -14 Calculate -54 + -53 + 104 - (-4 - (1 + 0)). 2 What is the value of 621 + -614 + (0 - 25)? -18 Calculate (-1 + 6 - 0) + 3 + 0. 8 17 + (3 - 1) + -11 8 -1 + -12 + (-13 - -10) + 6 -10 Calculate 13 - 12 - -14 - (-2 - -11). 6 What is the value of (-11 - 12) + 14 - 3? -12 What is the value of -1 + (-12 - -9 - (-6 - -26))? -24 Calculate -10 + (-5 - (-6 - 5)) + 11 + -6. 1 What is 18 + -66 - -22 - 5? -31 -1 - 8 - (-27 + -1 + -6 + -8) 33 Calculate 19 + (-10 - (-9 + 8)) + -8. 2 Calculate -97 + 105 + (-5 + 1 - (-6 - 3)). 13 Evaluate -3 + -7 + (-8 - -9) + 21. 12 10 + -3 + (-6 - -13) + 1 + -9 6 -13 - (-15 - (10 + -7)) 5 What is (3 - (6 + 0)) + 64 + -44? 17 Calculate 8 + -9 + 8 + 1 - 5. 3 What is (-4 -
{ "pile_set_name": "DM Mathematics" }
91. What is w(10)? 131 Let a(t) = 9*t**2 + 239*t + 1195. What is a(-5)? 225 Let d(t) = 2*t**2 + 17*t + 34. Calculate d(-11). 89 Let h(j) = j**2 - 364*j + 4229. Give h(12). 5 Let z(i) = -i**2 - 78*i - 180. Determine z(-76). -28 Let q(x) = -x**2 + 100*x - 2440. What is q(56)? 24 Let n(l) = 6*l + 153. Calculate n(-30). -27 Let p(b) = -15*b - 201. What is p(-22)? 129 Let h(u) = -3*u**3 + 35*u**2 - 60*u + 95. What is h(10)? -5 Let u(w) = -7*w**2 - 26*w - 33. Give u(-10). -473 Let y(s) = -27*s**2 - 33*s + 62. What is y(5)? -778 Let g(k) = -k**2 - 400*k - 39998. Determine g(-199). 1 Let l(m) = -15*m**2 - 52*m + 245. What is l(-6)? 17 Let v(z) = z**3 + 50*z**2 - 174*z - 815. What is v(-53)? -20 Let m(i) = 15*i - 794. Calculate m(53). 1 Let h(n) = n**3 - 87*n**2 + 83*n + 243. Give h(86). -15 Let x(v) = -v**3 - 47*v**2 + 204*v + 173. Determine x(-51). 173 Let a(p) = -p**3 - 28*p**2 + 60*p + 16. What is a(-30)? 16 Let v(q) = -q**3 - 53*q**2 - 2*q + 127. Determine v(-53). 233 Let d(q) = -5*q**2 + 30*q - 342. Give d(6). -342 Let n(d) = d**3 + 13*d**2 + 2*d - 10. Give n(-13). -36 Let k(m) = 4*m**3 + 55*m**2 - 15*m - 22. Determine k(-14). -8 Let b(g) = 2*g**2 - 51*g - 178. What is b(29)? 25 Let t(r) = 5516*r - 66199. Calculate t(12). -7 Let p(v) = -v**2 - 15*v - 20. Give p(-10). 30 Let u(x) = x**3 + 26*x**2 + 18*x - 156. What is u(-25)? 19 Let g(x) = 28*x + 521. Give g(-9). 269 Let i(d) = 7*d**2 - 130*d + 111. Give i(19). 168 Let m(i) = -i**3 - 6*i**2 - 4*i + 8. Give m(-4). -8 Let b(q) = q**3 - 5*q**2 - 141*q + 211. Determine b(14). 1 Let q(n) = n**3 - 43*n**2 - 96*n + 224. Give q(45). -46 Let b(c) = c**3 + 102*c**2 - 204*c + 398. Determine b(-104). -18 Let j(o) = -2*o**2 + 2*o - 36. Determine j(5). -76 Let p(m) = 7*m**2 + 78*m - 1. Give p(-9). -136 Let s(d) = -2*d**2 - 11*d + 85. Calculate s(-8). 45 Let g(h) = -5*h**2 - 55*h - 270. Give g(-5). -120 Let t(y) = y**3 - 2*y**2 - 20. Calculate t(0). -20 Let l(h) = -h**3 - 11*h**2 - 13*h - 138. Determine l(-11). 5 Let x(h) = h**3 - 7*h**2 + 19*h - 13. What is x(7)? 120 Let f(l) = -l**2 + 20*l + 585. Calculate f(36). 9 Let d(i) = 6*i**3 + 43*i - 8. What is d(0)? -8 Let g(d) = 5*d**2 + 125*d + 314. Calculate g(-22). -16 Let z(j) = 597*j + 2991. Calculate z(-5). 6 Let j(h) = 285*h + 3965. Calculate j(-14). -25 Let t(l) = -7*l**2 + 3*l - 7. Give t(-1). -17 Let g(c) = -127*c**2 + 120*c - 121. What is g(1)? -128 Let r(z) = z**2 + 142*z + 671. What is r(-5)? -14 Let u(h) = 10*h**2 + 477*h - 156. Calculate u(-48). -12 Let x(v) = -349*v - 1741. What is x(-5)? 4 Let v(s) = -1222*s - 6097. Calculate v(-5). 13 Let c(f) = -f**3 - 5*f**2 - 11*f - 28. Give c(-3). -13 Let z(t) = 2*t**3 - 45*t**2 - 16*t - 111. What is z(23)? 50 Let w(r) = 55*r - 38. Determine w(5). 237 Let i(b) = -b**2 + 10*b - 14. Calculate i(1). -5 Let k(c) = -10*c**3 - 72*c**2 - 119*c + 30. What is k(-4)? -6 Let f(k) = -6*k**3 + 156*k**2 - 7*k + 169. Calculate f(26). -13 Let m(d) = -178*d + 4787. Give m(27). -19 Let s(i) = 9*i - 144. Determine s(24). 72 Let r(q) = -231*q + 35. Calculate r(-1). 266 Let u(g) = 183*g**2 + 13*g - 25. What is u(2)? 733 Let u(n) = -n**3 + 88*n**2 - 77*n - 864. What is u(87)? 6 Let w(c) = 439*c - 881. What is w(2)? -3 Let h(r) = -6*r**2 + 17*r - 8. Give h(3). -11 Let a(c) = -c**2 + 34*c + 154. Determine a(36). 82 Let d(f) = -1671*f - 51808. What is d(-31)? -7 Let u(j) = 18*j - 61. Give u(13). 173 Let m(t) = t**2 + 241*t - 20617. Give m(67). 19 Let h(w) = -w**3 - 62*w**2 - 475*w + 95. What is h(-53)? -11 Let j(s) = 93*s + 236. Determine j(-7). -415 Let c(u) = -77*u + 453. What is c(6)? -9 Let k(w) = w**3 - 3*w**2 - 23*w - 30. Give k(7). 5 Let q(o) = -o**2 - 19*o + 27. Give q(-17). 61 Let f(u) = u**3 + 37*u**2 - 3*u - 69. Calculate f(-37). 42 Let w(h) = h**2 - 242*h - 1784. Determine w(-7). -41 Let d(i) = 8*i + 119. Give d(-8). 55 Let g(f) = -585*f + 28661. What is g(49)? -4 Let n(o) = -o**3 - 6*o**2 + 60*o - 84. Give n(-12). 60 Let s(l) = 3*l**2 - 47*l + 398. What is s(20)? 658 Let g(a) = 75*a - 2782. Calculate g(37). -7 Let j(p) = p**2 - 60*p - 184. Determine j(62). -60 Let i(c) = -c**3 + 12*c**2 + 8*c + 58. What is i(13)? -7 Let t(z) = -953*z - 26679. Determine t(-28). 5 Let o(h) = -82*h - 220. What is o(-3)? 26 Let r(y) = -8*y - 302. Give r(-47). 74 Let a(p) = p**3 + 8*p**2 + 11*p - 6. Calculate a(-5). 14 Let c(i) = i**2 + 9*i - 296. Determine c(-25). 104 Let l(c) = -6*c**3 - 3*c**2 - 14*c - 14. Give l(-1). 3 Let l(o) = 4*o**3 + 38*o**2 - 131*o - 1329. Determine l(-9). 12 Let x(l) = -4*l**2 + 1470*l + 18217. Calculate x(-12). 1 Let t(a) = 8*a + 555. Give t(-92). -181 Let r(m) = -5*m**2 + 120*m - 325. What is r(3)? -10 Let l(x) = -x**2 - 53*x - 289. Give l(-46). 33 Let h(k) = 238*k - 228. Calculate h(1). 10 Let m(z) = -z**3 - 13*z**2 - 8*z + 200. Determine m(-10). -20 Let p(u) = 10*u**3 + 141*u**2 + 51*u + 514. Give p(-14). -4 Let m(w) = -28*w + 236. Determine m(16). -212 Let m(b) = 19*b**3 - 2*b**2 - 2*b + 5. What is m(1)? 20 Let b(p) = 3*p**3 - 28*p**2 + 44*p + 12. Give b(7). -23 Let k(f) = 13*f - 146. Calculate k(8). -42 Let d(p) = -p**3 + 20*p**2 - 91*p + 45. Determine d(6). 3 Let n(b) = -5*b + 99. Give n(8). 59 Let k(n) = -2*n**3 - 8*n**2 - 15*n - 26. Calculate k(-4). 34 Let i(q) = -5*q**2 - 11*q + 75. What is i(0)? 75 Let j(d) = d**2 + 1106*d + 28056. Determine j(-26). -24 Let g(x) = -12*x + 226. What is g(24)? -62 Let i(o) = -o**3 + 85*o**2 + 67*o + 1656. Calculate i(86). 22 Let u(c) = c**3 + 29*c**2 + 200*c + 97. Give u(-10). -3 Let t(j) = -3*j**3 + 10*j**2 + 76*j + 111. Give t(-2). 23 Let w(b) = -80*b - 1025. Determine w(-17). 335 Let x(h) = 8*h**2 - 14*h + 4. Give x(2). 8 Let h(l) = l**3 - 76*l + 12. Calculate h(0). 12 Let z(x) = -x**2 - 76*x - 1254. What is z(-24)? -6 Let x(i) = -i + 210. Calculate x(76). 134 Let p(x) = 3*x**2 - 173*x + 2271. Give p(20). 11 Let q(u) = u**2 - 976*u + 232662. Determine q(414). -6 Let i(v) = -10*v**2 + 174*v - 448. What is i(3)? -16 Let o(n) = n**2 + 23*n + 108. Calculate o(-17). 6 Let d(n) = n**3 + 56*n**2 - 277*n - 2221. Give d(-60). -1 Let j(s) = -106*s - 37. Calculate j(0). -37 Let m(w) = -w**3 - 2*w**2 - 332*w - 1335. Give m(-4). 25 Let y(q) = 257*q - 764. Determine y(3). 7 Let l(k) = -22*k**2 + 205*k - 18. Give l(9). 45 Let t(q) = -35*q + 163. Determine t(5). -12 Let p(f) = -f**3 - 41*f**2 - 416*f - 108. What is p(-22)? -152 Let x(n) = -4*n**3 - 32*n**2 - 5*n - 41. Calculate x(-8). -1 Let k(u) = -u**3 + 7*u**2 + 46. Calculate k(0). 46 Let a(i) = -4*i**3 + 100*i**2 - 18*i - 92. Give a(25). -542 Let c(a) = -41*a**2 + 63*a - 65. What is c(1)? -43 Let v(j) = -j**2 + 77*j - 1143. Calculate v(17). -123 Let w(q) = -71*q - 707. Calculate w(-6). -281 Let z(t) = 7147*t + 14312. Determine z(-2). 18 Let a(t) = -t**3 - 74*t**2 + 396*t + 79. What is a(-79)? 0 Let h(x) = -1190*x + 3675. What is h(3)? 105 Let c(i) = i**3 - 277*i**2 + 296*i - 5496. Calculate c(276). 24 Let l(m) = -m**3 + 3*m**2 + 23*m - 50. What is l(8)? -186 Let a(t) = -43*t**2 - 349*t - 53. Give a(-8). -13 Let l(u) = -23*u + 1684. Give l(73). 5 Let f(t) = -t**2 + 183*t - 1893. Determine f(172). -1 Let j(l) = 469*l - 11734. What is j(25)? -9 Let s(g) = 3290*g + 3303. Determine s(-1). 13 Let y(k) = -179*k - 4230. Calculate y(-25). 245 Let z(n) = -n**3 - 6*n**2 + 10*n + 3. Calculate z(0). 3 Let v(a) = -a**3 - 17*a**2 - 32*a - 218. What is v(-16)? 38 Let r(s) = 1109*s**2 + 37*s + 30. Determine r(-1). 1102 Let g(b) = b**3 - 15*b**2 + 59*b - 429. Determine g(13). 0 Let a(r) = -4*r**3 - 8*r**2 - 11*r - 16. Determine a(-5). 339 Let k(r) = -76*r**3 + 76*r**2 + r - 8. What is k(1)? -7 Let p(i) = i**3 + 3*i**2 + 9*i + 19. Give p(-3). -8 Let r(o) = -125*o - 10. Calculate r(4). -510 Let j(d) = -3*d**2 + 270*d + 279. Give j(91). 6 Let q(x) = -169*x + 1. What is q(0)? 1 Let r(c) = -200*c - 1271. Determine r(-5). -271 Let x(g) = 112*g - 4. What is x(1)? 108 Let h(m) = -767*m + 53677. Give h(70). -13 Let z(c) = 6*c + 87. Determine z(-4). 63 Let w(g) = 55*g - 657. Give w(13). 58 Let s(r) = r**3 - 14*r**2 + 12*r - 3. Determine s(5). -168 Let s(v) = -v**3 + 9*v**2 - 4*v - 4. Determine s(9). -40 Let y(c) = c**2 - 67*c + 830. Determine y(49). -52 Let p(f) = f**2 - 61*f + 887. Give p(38). 13 Let z(s) = s**3 - 18*s**2 + 9*s + 142. Determine z(17). 6 L
{ "pile_set_name": "DM Mathematics" }
t s(f) = 2*f**2 + 6*f - 9. Suppose 12*v = 13*v + 4. Let k be s(v). Calculate q(k). -8 Let l(o) be the third derivative of -2*o**2 - 43 + 0*o + 1/3*o**3 + 5/24*o**4. What is l(5)? 27 Let p(w) be the second derivative of -5*w**4/12 + w**3/6 + w**2/2 + w + 7. Let t be 64/28 + (57/21 - 3). Determine p(t). -17 Let j(s) = -10*s - 9. Suppose 0 = 5*t + v - 4*v - 80, 2*t - 32 = 3*v. Let w(o) = -52*o - 48. Let f(p) = t*j(p) - 3*w(p). Calculate f(-4). 16 Let g(q) = -q**3 + 14*q**2 - 5*q + 8. Let w(a) = -21*a**2 + a - 1. Let h(m) = g(m) + w(m). Let d(z) = 2*z + 16. Let o be d(-11). Calculate h(o). -5 Let n be 2/((-8)/(-6) + -2). Let u = n + -1. Let s(k) be the second derivative of -k**4/12 - k**3 + 3*k**2/2 + 2332*k - 1. What is s(u)? 11 Let p(o) = 6*o + 266. Let s(t) = 6*t + 345. Let f(u) = 5*p(u) - 4*s(u). Give f(10). 10 Let c(n) = 9*n**3 - n**2 + 2*n - 2. Let v(t) = 4*t - 3. Let q(j) = -j**3 + 9*j**2 + 1. Let x be q(9). Let z be v(x). What is c(z)? 8 Suppose -56*d + 386 + 532 = 134. Let p(c) = c - 13. Give p(d). 1 Let c(f) be the third derivative of f**6/12 + f**5/30 + f**4/24 - 3318*f**2 - 2*f. Calculate c(-1). -9 Let q(s) be the third derivative of -s**6/120 + 2*s**5/15 + 11*s**4/24 - 13*s**3/6 + 45*s**2 - 1. Let a(u) = -7*u**3 + 2*u**2. Let g be a(-1). Calculate q(g). 5 Let x(y) be the first derivative of -15*y**4/4 + 2*y**3/3 - 4*y**2 - 9*y + 3507. Give x(-1). 16 Let z(h) = 11*h**3 - 9*h**2 - 4*h - 17. Let a(r) = -15*r**3 + 14*r**2 + 6*r + 25. Let o(l) = 5*a(l) + 7*z(l). Determine o(-3). 9 Let l(f) = -13*f**3 + 12*f**2 - 12*f + 60. Let a(k) = 24*k**3 - 22*k**2 + 23*k - 112. Let v(n) = 6*a(n) + 11*l(n). Calculate v(2). 8 Suppose 3*d = d + 38. Let t(r) = 4 + 5 - r**2 + 11 - d. Calculate t(0). 1 Let z(b) = 13*b**3 - 10*b**2 - 22. Let q(u) = -6*u**3 + 4*u**2 + u - 2. Let d(s) = 2*q(s) + z(s). What is d(3)? -11 Let q(x) = -1. Let c(y) = 7*y + 9. Let h(z) = -c(z) - 3*q(z). Let f be h(-2). Suppose 0 = 2*d + f - 12. Let s(l) = -7*l + 3. What is s(d)? -11 Let w(g) = 5*g - 23. Let q(r) = r**2 + 27*r - 514. Let b be q(-40). Give w(b). 7 Let w(y) = y + 7. Suppose 0 = -21*a - 24 - 39. Calculate w(a). 4 Let v(y) = -y**2 - 36*y + 20. Let j be v(-16). Let s = j + -343. Let a(f) = -f**2 - f - 3. Calculate a(s). -9 Let v be (-220)/10 + 21 - 0/1. Let m(q) = -7*q**2 + 7*q + 4. Give m(v). -10 Let g(u) = 0 + 4*u**2 - 1 - u - 6*u + 6*u. Let c = -4 - -5. Suppose 5*r = 5*s - 5, 4*s + c = -r - 0*s. Calculate g(r). 4 Let r(c) be the first derivative of -7*c**2 + 67*c - 47. Let b be r(5). Let g(x) = -5*x + 1. Give g(b). 16 Let y(z) = z**3 + 7*z**2 - 9*z - 6. Suppose 50 = 80*r - 78*r. Let j(q) = -q**3 - 7*q**2 - 8*q - 11. Let i be j(-6). Suppose -r = 3*n - i. What is y(n)? 2 Let g(n) = -n + 4. Let b = -3773 - -3782. Calculate g(b). -5 Suppose -2*p + 32 = 4*y, 18*y + 38 = 23*y + 2*p. Let m(i) = -6*i + 29. Give m(y). -7 Let f(l) = l - 1. Suppose 0 = -5*k - 5*h + h + 41, 3*k + 2*h = 23. Suppose -k*t + 0*g - 2*g = -12, -2*g + 10 = 4*t. Calculate f(t). 1 Let d(u) = -2*u**2 - 60*u - 50. Let r(p) = 4*p**2 + 131*p + 101. Let i(s) = -7*d(s) - 3*r(s). Give i(-11). -8 Let k(g) = -4*g**2 + g + 1. Let t = -31 - -76. Let c = 60 - t. Suppose -7*y = c - 8. Calculate k(y). -4 Let w(s) = -s**2 + 8*s + 5. Let k = -356 + 374. Suppose 6*z = z - 5*f + 30, -3*z + k = -4*f. Determine w(z). 17 Let k(y) be the third derivative of 5*y**4/24 - 26*y**3/3 - y**2 - 4*y + 14. What is k(10)? -2 Let z(g) = -g**3 + 5*g**2 + 8*g - 12. Let q be (10/8)/((-455)/(-2184)). Give z(q). 0 Let j(s) be the third derivative of s**5/60 + s**4/8 + 5*s**3/6 - 589*s**2. What is j(-4)? 9 Let b(y) = -65 + y**2 + 9384*y - 4666*y - 4690*y. Calculate b(-30). -5 Let i(z) = 3*z**2 + 62*z + 7. Let r(k) = 9*k**2 + 165*k + 20. Let u(c) = 8*i(c) - 3*r(c). Calculate u(-3). -34 Let b(z) be the first derivative of -z**3 - 9*z**2/2 - z + 17255. Suppose 0 = 4*q + 8 + 8. Give b(q). -13 Suppose 4*j - 27 = 30*r - 33*r, -5*j + r + 10 = 0. Let k(x) be the second derivative of 0 - 12*x - 1/2*x**2 - 1/6*x**j. What is k(0)? -1 Let s(p) = 4*p**2 - 13. Suppose -9*f = -13*f - 24. Let k(r) = 5*r**2 - 11. Let c(u) = f*k(u) + 5*s(u). Suppose 3*d + 9 = 3*v + d, 2*d + 8 = 2*v. Calculate c(v). -9 Let n(z) be the third derivative of -5*z**4/4 - 6*z**3 + 4*z**2 - 671. Give n(-5). 114 Let s(o) = 6*o**2 - 10. Let l(r) = -39*r**2 - r + 63. Let y(i) = -l(i) - 6*s(i). Let z be (3 - 3 - 1) + -2. Give y(z). 21 Let i(p) = -357*p - 33. Let l(n) = -72*n + 1. Let y(b) = -i(b) + 5*l(b). What is y(14)? -4 Suppose 5*w - 2*u - u + 5 = 0, u = 4*w + 11. Let r(o) = -o**3 - 7*o**2 + 7*o - 4. Let z be r(-8). Let s(i) = -1 - z + 34*i - 37*i. Determine s(w). 7 Suppose -3*t - 2020 + 2 = -2*x, -2700 = 4*t - 5*x. Let n = t + 664. Let h(y) = -y + 3. Give h(n). 9 Let o(w) = -w**3 + 10*w**2 - 5*w - 25. Suppose 4*t - 35 = 504*z - 505*z, -4*t + 38 = -2*z. What is o(t)? 11 Let m(b) = b**2 + b - 1. Let t(u) = 3*u**2 + 54*u + 213. Let h be t(-6). Determine m(h). 5 Let y(t) = -2*t**3 - 4*t**2 + 1. Let m(o) = 3*o - 6. Suppose 0 = 5*x - h, 9*h + 5 = -5*x + 11*h. Let g be m(x). Determine y(g). 19 Let c(b) = 2*b - 11. Suppose 6 = -2*a + 4, -5*a = 4*y - 71. Determine c(y). 27 Let j(r) = -4*r - 5. Let p(x) = x. Let f be -4 + ((-2)/(-3))/(2/9). Let g(u) = f*j(u) - 3*p(u). Let l = -9 + 3. Give g(l). -1 Let u(m) be the third derivative of 1/30*m**5 + 0*m + 1/6*m**4 - 15/2*m**3 + 0 - 14*m**2. Let f(h) be the first derivative of u(h). What is f(-3)? -8 Let n(a) = 2*a**3 - 46*a**2 + 3*a - 91. Suppose 1053 - 3330 = -99*m. What is n(m)? -22 Suppose -32 = -5*s - 2*g, 5*s = 3*g - 3 + 5. Let q(m) = m**2 - 22*m + 55. Determine q(s). -17 Let v(r) = -8*r**2 - 10*r + 16. Let j(h) = -7*h**2 - 8*h + 13. Let z(n) = -6*j(n) + 5*v(n). What is z(4)? 26 Let i(d) = d**2 - 4*d - 18. Let s be i(7). Let o(l) = 0 - 10*l**s - 2 + 3. Give o(-1). 11 Let x(g) be the second derivative of g**5/20 - g**2/2 - 13*g - 2. Let u(j) = -5*j**3 + 6*j**2 - 7*j + 16. Let y(s) = u(s) + 6*x(s). Give y(-7). 10 Let b(y) = -y**2 - 8*y - 1. Suppose -41*p + 648 = -53*p. Let h = 42 + p. Calculate b(h). -49 Let s(j) = 3*j**2 - 3*j - 1. Suppose -1761*n = -1777*n - 32. Calculate s(n). 17 Let w be 5 - (10/2 + 0). Let s be -5*(-1 + w)/5. Let c(f) = -1 + 3*f**2 + f + f**2 - f**2. Determine c(s). 3 Let q(j) = -j**2 - 27*j - 59. Let a be q(-25). Let g(i) = 4*i + 10. Give g(a). -26 Let h(u) be the second derivative of u**5/20 - 5*u**4/12 - 5*u**3/6 + 3*u**2 - 5686*u. Let a(y) = y**3 - 4*y**2 + 2*y - 3. Let i be a(4). Determine h(i). -19 Let d(t) = -t**3 + 5*t**2 - 3*t - 3. Suppose 2*s + 9*s + 88 = 0. Let p(q) = q + 12. Let f be p(s). Let l be (f/12)/(1/15). Give d(l). -18 Suppose -l + 5 = -5*y, -2*l + 5*y = 3*l + 55. Let f(a) = -2*a**2 - 26*a + 52. Calculate f(l). -8 Suppose j + 37 = 26. Let l(i) = -5*i**3 + 6*i**2 + 9*i + 12. Let o(t) = 9*t**3 - 10*t**2 - 17*t - 23. Let a(k) = j*l(k) - 6*o(k). Let u = 12 - 7. What is a(u)? -4 Suppose -75 = -23*x + 20*x. Suppose -x = 98*m - 73*m. Let w(c) = 12*c + 2. Determine w(m). -10 Let h(q) = 3*q + 1. Let p(x) = x**2 + 50*x + 226. Let b be p(-45). Determine h(b). 4 Let q = -10627 - -10627. Let n(y) = -2*y**3 - 5*y**2 - 3*y + 6. Give n(q). 6 Let k(h) be the second derivative of h**5/20 - 3*h**4/4 + 5*h**3/3 - h**2/2 - 33*h + 9. Calculate k(8). 15 Let m be (2 - (-32)/(-12))/((-2)/9). Suppose d - m*d = 3*i - 9, -3*i = 3*d - 12. Let j(f) = -2 - 14*f**2 - 11*f**2 + 3 + 12*f**2. Calculate j(i). -12 Let t(l) = 21*l + 45. Let x = -9341 - -9335. What is t(x)? -81 Let v(s) be the second derivative of -s**5/20 + 2*s**4/3 - s**3 + 9*s**2 - 2121*s. Give v(8). -30 Let q(x) be the third derivative of -x**8/20160 - x**7/2520 - x**5/30 + 10*x**4/3 + x**2 - 41*x. Let t(d) be the third derivative of q(d). Determine t(0). 0 Let x(t) = -t**3 - 5*t + 10. Suppose -5*o + 3*l = -3*l + 3*l + 5*l, -l = 0. What is x(o)? 10 Let s(h) = -3*h + 5. Let d = -8683 + 8693. Determine s(d). -25 Suppose 0 = 4*a + w + 4*w + 65, 2*w = -a - 17. Let s(v) = 54*v - 44*v - 11*v + 5 + 3. Calculate s(a). 23 Let l(i) = 8*i + 4 - 3 - 9*i**2 - 22791*i**3 - i**2 + 22796*i**3. What is l(1)? 4 Let f(m) = -15 - 399 + 13843*m - 13639*m. What is f(2)? -6 Suppose 77*q - 190 = -187*q + 74. Let v(k) = 17*k**3 - k**2 + k. Determine v(q). 17 Let h(z) = -z**2 - 93*z + 185370 + 9
{ "pile_set_name": "DM Mathematics" }
ve g - 16/7*v + 4/7*v**2 = 0 for v. 1, 3 Let p(f) be the second derivative of f**5/5 - 17*f**4 + 66*f**3 - 98*f**2 + 786*f. What is i in p(i) = 0? 1, 49 Determine f so that 3/2*f**4 - f**3 - 6*f**2 - 1/4*f**5 + 8*f + 0 = 0. -2, 0, 2, 4 Suppose a = 4*x - 7, 2*a - a - 1 = 0. Factor -29 - 10 - 12*w**2 - 112*w + 1 + x. -4*(w + 9)*(3*w + 1) Let v(j) be the second derivative of 1/13*j**2 - 5/78*j**4 - 3/130*j**5 + 1/13*j**3 + j + 20 + 4/195*j**6. Determine h, given that v(h) = 0. -1, -1/4, 1 Let b be (-447)/(-1639) - ((-29203)/2508 + (-2)/(-8)). Find g such that 50/3*g**2 - 4*g**4 + 3*g**5 - 8/3 - 4/3*g - b*g**3 = 0. -2, -1/3, 2/3, 1, 2 Let h(m) be the third derivative of -m**7/70 + 17*m**6/20 + 187*m**5/20 + 77*m**4/2 + 78*m**3 - 1098*m**2. Determine n so that h(n) = 0. -2, -1, 39 Let a(x) be the first derivative of 64/3*x**3 + 23/2*x**4 + 1/6*x**6 + 65 + 10*x + 14/5*x**5 + 41/2*x**2. Factor a(u). (u + 1)**4*(u + 10) Let w = 743368 - 5203528/7. Factor 48/7 + w*i - 12/7*i**3 - 3/7*i**4 + 0*i**2. -3*(i - 2)*(i + 2)**3/7 Let q be (0 + 21/6)*(-2296)/(-98). Let h be 315/(-189) - q/(-42). Factor 2/7*d**4 + 0 - h*d**3 + 0*d**2 + 0*d. 2*d**3*(d - 1)/7 Let i(p) be the second derivative of p**6/15 + 3*p**5/5 + 4*p**4/3 - 772*p. Factor i(v). 2*v**2*(v + 2)*(v + 4) Let t(z) = 2*z**2 + 30*z - 28. Let h be t(-16). Find s such that 15*s**2 + 12 - 12 + 23*s**3 - 18*s**3 - 15*s**h - 5*s**5 = 0. -3, -1, 0, 1 Suppose 5*k + 24 = -4*t + 6*t, 2*t = -5*k - 16. Suppose -511*g = -516*g + 20. Let 3*a**t + g*a**2 + 0*a**2 - 12*a**3 + a**2 + 4*a**4 = 0. What is a? 0, 1, 2 Determine r so that -2/17*r**5 - 80/17*r**2 + 4/17*r**4 + 76/17*r**3 - 650/17*r - 500/17 = 0. -5, -2, -1, 5 Let i be 0*(1 - 0) + 13. Let r = 2446 + -2444. What is q in 3*q**5 - i*q**4 - 17*q**4 + 3*q**r - q**3 - 2*q**3 + 27*q**4 = 0? -1, 0, 1 Let p(f) = 76*f**2 + 7*f + 12. Let j be p(-4). Determine r, given that -10*r**2 - 44*r**2 + 4*r**3 + 35*r**2 + 0*r**3 - 73*r**2 - j + 640*r = 0. 3, 10 Let o(y) be the second derivative of y**5 - 101*y**4/3 + 401*y**3/30 - 2*y**2 - 109*y + 4. Factor o(r). (r - 20)*(10*r - 1)**2/5 Let d(n) = 14*n**2 + 1306*n + 2914. Let w be d(-91). Find r, given that 4/7*r**3 - 8*r + 4/7*r**w - 96/7 = 0. -3, -2, 4 Let i(j) = 3*j**5 - 378*j**4. Let d(b) = -30*b**5 + 3780*b**4. Let o(n) = -2*d(n) - 21*i(n). Factor o(x). -3*x**4*(x - 126) Let l(i) be the third derivative of i**6/40 - 3*i**5/10 + 16*i**3 - 1599*i**2. Solve l(x) = 0 for x. -2, 4 Let k be (-2)/((2340/(-148))/39). Suppose 0 + 14/15*y**4 + 76/15*y**2 + 16/15*y + k*y**3 = 0. Calculate y. -4, -1, -2/7, 0 Suppose -2*x = 15*x + 136. Let p be 13 - -1*(x + -1). Factor 12/7*k - 3/7*k**3 + 0 + 12/7*k**2 - 3/7*k**p. -3*k*(k - 2)*(k + 1)*(k + 2)/7 Let t(v) = v**2 - 11. Let s be t(4). Let j be 98/35 - s - -7. Factor 72/5 + j*r + 2/5*r**2. 2*(r + 6)**2/5 Factor 2/13*s**2 - 4340/13 - 4338/13*s. 2*(s - 2170)*(s + 1)/13 Let w(g) be the third derivative of -2*g**7/105 - 77*g**6/30 - 50*g**5 - 258*g**4 + 1584*g**3 + 112*g**2 + 3*g. Determine h so that w(h) = 0. -66, -6, 1 Solve 0*d + 225*d**3 + 1/3*d**5 + 53/3*d**4 + 0 - 243*d**2 = 0. -27, 0, 1 Let o(h) = 17*h + 20 + 246 + 111 - 105. Let j be o(-16). Factor j + 1/4*a - 1/4*a**2. -a*(a - 1)/4 Let c be 38 + ((-16)/2)/1. Solve -113*u + 0*u**4 + u**4 - 117*u - 18*u**3 + 44*u + 108*u**2 - c*u = 0. 0, 6 Let v = 9/83 + -38945/166. Let i = v + 235. Let 10*p**4 - 13/4*p**2 + i*p + 0 + 9/4*p**3 + 4*p**5 = 0. What is p? -2, -1, 0, 1/4 Suppose 4*n - 22*n = -90. Suppose 185 = n*f + 2*x + 177, f - 6 = 4*x. What is d in 0 - 1/2*d**3 + 3/2*d + d**f = 0? -1, 0, 3 Factor -2/5*t**2 + 0 - 624/5*t. -2*t*(t + 312)/5 Suppose -20 = -10*d + 50. Let -17*q**2 - 11*q + 4*q**4 - 10*q**3 + 16*q**3 - 139*q - 43 - 81*q**2 - d = 0. Calculate q. -5, -1, -1/2, 5 Let r(b) = -2*b**3 + 9*b**2 + 40*b + 31. Let y be r(-2). Determine z, given that -14/5*z**2 - 6/5*z**y + 6/5 + 14/5*z = 0. -3, -1/3, 1 Let r(s) = -19*s + 159. Let n be r(9). Let l be (n/56)/((-3)/8). Factor -l*d**4 + 240/7*d - 52/7*d**2 - 40/7*d**3 - 144/7. -4*(d - 1)**2*(d + 6)**2/7 Let x(i) be the third derivative of 0*i + 7/12*i**4 + 0 - 149*i**2 - 1/120*i**5 - 9/4*i**3. Factor x(p). -(p - 27)*(p - 1)/2 Let q(m) be the second derivative of -3 + 25*m - 1/8*m**4 - 57/4*m**2 - 5*m**3. Factor q(k). -3*(k + 1)*(k + 19)/2 Let x(d) be the first derivative of -d**6/72 + d**5/6 - 5*d**4/8 - 100*d**3/3 - 53. Let f(i) be the third derivative of x(i). Suppose f(p) = 0. Calculate p. 1, 3 Let f be 770/(-44)*3/((-9)/6). Factor 1446*t**2 - 2898*t**2 + 1447*t**2 + 40*t - f. -5*(t - 7)*(t - 1) Let w(m) be the first derivative of -m**4/18 - 98*m**3/27 - 184*m**2/9 - 40*m - 142. Determine u, given that w(u) = 0. -45, -2 Let i be ((-765)/10)/17*44/(-99). Let v(s) be the second derivative of 27*s + 0 - 2/7*s**3 - 1/21*s**4 + 8/7*s**i. Determine t so that v(t) = 0. -4, 1 Let v(r) be the second derivative of 3*r**2 + 3 + 1/12*r**4 + 8*r - 7/6*r**3. Factor v(a). (a - 6)*(a - 1) Suppose 0 = f + 39*a - 38*a - 2, -2*f + a + 7 = 0. Let r(o) be the first derivative of 6 - 1/6*o**f - 2*o - 5/4*o**2. Let r(x) = 0. Calculate x. -4, -1 Let r(i) = 33*i**3 - 1317*i**2 - 23*i - 23. Let v(z) = 3*z**3 - 120*z**2 - 2*z - 2. Let t(y) = 2*r(y) - 23*v(y). Factor t(k). -3*k**2*(k - 42) Let h(q) be the third derivative of q**9/60480 + q**8/3360 + q**7/630 + 49*q**5/60 + 44*q**2. Let w(p) be the third derivative of h(p). Factor w(k). k*(k + 2)*(k + 4) Let m = 306 - 302. Factor 5469*o + 65*o**2 + 32*o**m - 5581*o - 4*o**5 - 100*o**3 + 87*o**2 + 32. -4*(o - 2)**3*(o - 1)**2 Let j(h) be the second derivative of 7*h**4/4 - 81*h**3 + 69*h**2/2 + h + 470. Let j(v) = 0. Calculate v. 1/7, 23 Suppose -4*z - 7310 = 2*t, 9*t - 6*t - 5*z = -10998. Let i = t - -14725/4. Find b, given that 3/4 + i*b**3 + 81/4*b**2 + 27/4*b = 0. -1/3 Let s(r) = 0*r**3 - r**3 + 23*r + r**2 - 29 - 28*r - 20*r**2 - 45*r. Let m be s(-16). Factor -25/2*d**m - 12*d + 2 + 45/2*d**2. -(d - 1)*(5*d - 2)**2/2 Factor 4/5*p**4 + 428/5*p**2 + 352/5*p + 16*p**3 + 0. 4*p*(p + 1)*(p + 8)*(p + 11)/5 Let u(b) = -14*b**2 - 64*b - 4. Let o(l) = 39*l**2 + 190*l + 11. Let n(s) = 4*o(s) + 11*u(s). Factor n(k). 2*k*(k + 28) Let c = 5693 - 56927/10. Let w(x) be the second derivative of 8/9*x**2 + 0 - 18*x + 1/27*x**6 - 4/3*x**3 - c*x**5 + 25/27*x**4. Solve w(q) = 0 for q. 2/5, 1, 2 Let z(v) = -95*v**2 - 866*v - 42. Let i(j) = -95*j**2 - 868*j - 41. Let r(g) = -3*i(g) + 4*z(g). Factor r(a). -5*(a + 9)*(19*a + 1) Let q(w) be the second derivative of 4/3*w**3 + 1/1080*w**6 + 0 + 1/90*w**5 + 0*w**2 + 10*w + 1/24*w**4. Let p(a) be the second derivative of q(a). Factor p(m). (m + 1)*(m + 3)/3 Let b(f) = -34 + 53 + f - f**3 - 19. Let y(q) = -3*q**3 + 3*q. Let g(r) = -2*b(r) - y(r). Factor g(m). 5*m*(m - 1)*(m + 1) Let w(p) = 9*p**2 + 209*p + 1100. Let i(r) be the second derivative of r**4/4 + 35*r**3/3 + 367*r**2/2 - 23*r. Let t(j) = 11*i(j) - 4*w(j). Factor t(g). -3*(g + 11)**2 Let a be ((-14)/(-5))/((-1316)/(-940)). Let b = -123/2 - -251/4. Suppose b*h**a - 15/4*h + 0 = 0. Calculate h. 0, 3 Let c(b) be the third derivative of 0*b - 1/140*b**7 - 101*b**2 + 0*b**4 + 0 - 1/32*b**6 + 0*b**3 + 3/80*b**5. Solve c(v) = 0 for v. -3, 0, 1/2 Let q(b) be the third derivative of -b**8/1680 - 2*b**7/175 - b**6/300 + 22*b**5/75 - 39*b**4/40 + 22*b**3/15 + 2*b**2 - 82*b + 4. Factor q(f). -(f - 1)**3*(f + 4)*(f + 11)/5 Factor 10*a - 12 + 1/4*a**3 - 11/4*a**2. (a - 4)**2*(a - 3)/4 Let u = 86 - 83. Suppose 5*w = -2*z + 11, 2*z - u*z - 8 = -2*w. Factor 7*m**2 + 5*m**w + 4*m**2 + m**2 - 2*m**2 + 5*m. 5*m*(m + 1)**2 Find b, given that 360/7*b**2 + 0*b + 2/7*b**4 + 18*b**3 + 0 = 0. -60, -3, 0 Let j(z) = -5*z - 152. Let b = -847 + 816. Let c be j(b). Factor -9/5*i**4 - 2/5*i + 16/5*i**c - i**2 + 0. -i*(i - 1)**2*(9*i + 2)/5 Let i(a) be the second derivative of a**4/4 + 85*a**3/2 + 249*a**2 - 513*a. Suppose i(w) = 0. Calculate w. -83, -2 Let y = -238835/7 - -33579. Let l = -539 - y. Factor 6/7*n**4 + 0*n**2 - 3/7*n**3 + 0*n + l*n**5 + 0. 3*n**3*(n + 1)*(3*n - 1)/7 Let n(j) be the first derivative of -15 - 2/5*j**5 + 0*j + 0*j**2 + 1/6*j**6 - 13/4*j**4 - 10/3*j**3. Let n(c) = 0. Calculate c. -2, -1, 0, 5 What is o in -91/5*o + 1/10*o**2 - 184/5 = 0? -2, 184 Suppose -8*t = t - 11655. Suppose w +
{ "pile_set_name": "DM Mathematics" }
. 1/10 Two letters picked without replacement from qzzq. Give prob of sequence qq. 1/6 Two letters picked without replacement from {q: 2, y: 9, z: 7}. What is prob of sequence yy? 4/17 Four letters picked without replacement from zuzcowwj. What is prob of sequence wozj? 1/420 Four letters picked without replacement from {b: 3, o: 2, v: 1, r: 6, n: 1}. What is prob of sequence bobv? 1/1430 What is prob of sequence ilg when three letters picked without replacement from {l: 4, c: 9, g: 2, i: 4}? 16/2907 Three letters picked without replacement from nxcncpcxnpwxncnnc. Give prob of sequence xnn. 3/136 Three letters picked without replacement from {q: 3, s: 5, i: 1, d: 1, j: 1}. Give prob of sequence ijq. 1/330 Calculate prob of sequence uezi when four letters picked without replacement from {z: 2, e: 1, i: 1, u: 4, x: 1}. 1/378 Three letters picked without replacement from jwwjjjjjjjjwiwwwi. What is prob of sequence jiw? 9/340 What is prob of sequence od when two letters picked without replacement from ouoydfy? 1/21 Four letters picked without replacement from pprpppppppppppppppp. Give prob of sequence pppp. 15/19 Three letters picked without replacement from wklkwkk. Give prob of sequence lwk. 4/105 Calculate prob of sequence zzuu when four letters picked without replacement from zzzuuzzz. 1/28 Four letters picked without replacement from {t: 2, g: 1, k: 1, e: 2}. What is prob of sequence egke? 1/180 Two letters picked without replacement from bvkkbkbbvvv. Give prob of sequence vk. 6/55 Calculate prob of sequence cic when three letters picked without replacement from ciiciii. 1/21 Two letters picked without replacement from {v: 4, q: 4, c: 1, a: 4, m: 5, l: 2}. What is prob of sequence vc? 1/95 What is prob of sequence fokk when four letters picked without replacement from {r: 2, k: 7, o: 4, e: 1, f: 2}? 1/130 Two letters picked without replacement from ndd. Give prob of sequence dd. 1/3 Calculate prob of sequence iidi when four letters picked without replacement from {a: 2, i: 1, d: 1, p: 3}. 0 Two letters picked without replacement from srsssssssr. Give prob of sequence ss. 28/45 Calculate prob of sequence oogk when four letters picked without replacement from {k: 3, o: 3, g: 2}. 3/140 What is prob of sequence ll when two letters picked without replacement from lawaaalwaawawww? 1/105 Two letters picked without replacement from bgddvgvgggbggg. What is prob of sequence bb? 1/91 Two letters picked without replacement from wcwcoowwowwwwowoow. Give prob of sequence wc. 10/153 What is prob of sequence sd when two letters picked without replacement from ddsddsddssssdcdsdss? 9/38 Two letters picked without replacement from {l: 5}. What is prob of sequence ll? 1 Three letters picked without replacement from oqwqqqbqwqqqwqow. What is prob of sequence qqq? 3/20 Two letters picked without replacement from {d: 2, a: 1}. What is prob of sequence dd? 1/3 Four letters picked without replacement from ffmmffffvvfffff. What is prob of sequence mvfm? 11/8190 Two letters picked without replacement from nxrnrxrqrrpww. Give prob of sequence qw. 1/78 Three letters picked without replacement from {l: 1, j: 5, t: 1, u: 5, s: 5, e: 3}. Give prob of sequence lst. 1/1368 Calculate prob of sequence mcu when three letters picked without replacement from {u: 1, m: 1, c: 2}. 1/12 What is prob of sequence kr when two letters picked without replacement from {b: 4, r: 2, k: 5}? 1/11 Three letters picked without replacement from fiiififiififfiivfi. Give prob of sequence ifi. 35/272 Four letters picked without replacement from rmrfnffrmkkkmnmn. Give prob of sequence mnnn. 1/1820 Calculate prob of sequence ek when two letters picked without replacement from {k: 5, e: 8}. 10/39 Two letters picked without replacement from sssm. What is prob of sequence ss? 1/2 What is prob of sequence gnf when three letters picked without replacement from mnmffgi? 1/105 Two letters picked without replacement from zbwwnzbtwzm. Give prob of sequence bb. 1/55 What is prob of sequence bs when two letters picked without replacement from lssblebselsrssalesae? 7/190 Calculate prob of sequence ii when two letters picked without replacement from {k: 1, t: 1, v: 2, w: 1, o: 1, i: 2}. 1/28 Two letters picked without replacement from oosoiooooolojojljno. Give prob of sequence lo. 11/171 What is prob of sequence fn when two letters picked without replacement from {n: 3, s: 7, f: 2, z: 3, r: 4}? 1/57 Two letters picked without replacement from ssqrttsstsstststt. What is prob of sequence tt? 21/136 Calculate prob of sequence gpa when three letters picked without replacement from {a: 4, l: 4, p: 1, g: 7, i: 3, j: 1}. 7/1710 Three letters picked without replacement from oboboo. What is prob of sequence obo? 1/5 Four letters picked without replacement from rrrrddrrrhddd. What is prob of sequence drdr? 7/143 Three letters picked without replacement from {y: 3, m: 13}. What is prob of sequence yym? 13/560 Three letters picked without replacement from {n: 1, l: 2, i: 1}. What is prob of sequence nil? 1/12 What is prob of sequence vveh when four letters picked without replacement from zvevvnvevczeecvvhvcc? 28/14535 Three letters picked without replacement from pppwjppppw. What is prob of sequence pjw? 7/360 Calculate prob of sequence axp when three letters picked without replacement from aaxaaaaahaaxpaapxaap. 13/760 Two letters picked without replacement from {e: 7, v: 4, l: 7}. What is prob of sequence lv? 14/153 Calculate prob of sequence eoa when three letters picked without replacement from azoecbbbzzbe. 1/660 Calculate prob of sequence tttl when four letters picked without replacement from {t: 6, j: 3, l: 8}. 2/119 Two letters picked without replacement from oooqooovqvovov. What is prob of sequence vo? 16/91 Four letters picked without replacement from ckiiiigiijgggcigg. Give prob of sequence gckj. 1/4760 Four letters picked without replacement from {h: 2, a: 8}. What is prob of sequence ahha? 1/45 Calculate prob of sequence cnn when three letters picked without replacement from {c: 6, n: 4, x: 1}. 4/55 Four letters picked without replacement from xxxxxdxxxxxxxxxxxxx. What is prob of sequence xxxx? 15/19 Two letters picked without replacement from plplz. Give prob of sequence ll. 1/10 Two letters picked without replacement from {g: 3, p: 1, e: 4, x: 2}. Give prob of sequence xe. 4/45 Three letters picked without replacement from {i: 9, l: 7}. What is prob of sequence ili? 3/20 Calculate prob of sequence vvw when three letters picked without replacement from {u: 1, v: 3, w: 2, s: 4}. 1/60 Calculate prob of sequence ouu when three letters picked without replacement from howwwowouuuww. 3/286 Four letters picked without replacement from {a: 5, n: 1, g: 1, v: 1, h: 3}. Give prob of sequence gnha. 1/528 Four letters picked without replacement from {d: 3, c: 5, m: 1, r: 1, s: 3, p: 1}. Give prob of sequence crdc. 5/2002 Calculate prob of sequence oopd when four letters picked without replacement from {p: 7, o: 3, d: 2}. 7/990 Calculate prob of sequence ih when two letters picked without replacement from icchhhijjhjjhjhih. 21/272 Four letters picked without replacement from qqsqsqqqsq. What is prob of sequence ssqq? 1/20 Four letters picked without replacement from tiiitttvvvttittvitt. What is prob of sequence vtvt? 15/1292 Four letters picked without replacement from {d: 1, u: 5, n: 1, v: 1, t: 3}. What is prob of sequence tuuv? 1/132 Calculate prob of sequence mwmw when four letters picked without replacement from {m: 2, w: 7, t: 2}. 7/660 Calculate prob of sequence lll when three letters picked without replacement from lggl. 0 What is prob of sequence kg when two letters picked without replacement from kgkkg? 3/10 Calculate prob of sequence py when two letters picked without replacement from {p: 1, y: 1, e: 2, b: 2, v: 2}. 1/56 Two letters picked without replacement from {m: 4, k: 2, o: 3, a: 1}. Give prob of sequence ok. 1/15 Two letters picked without replacement from {h: 1, m: 2, b: 1, e: 3}. What is prob of sequence bh? 1/42 What is prob of sequence fff when three letters picked without replacement from {j: 2, f: 17}? 40/57 Two letters picked without replacement from mmmmwmmmmmwwmmmmmwm. Give prob of sequence mw. 1
{ "pile_set_name": "DM Mathematics" }
onvert 0 (base 10) to base 13. 0 Convert -70 (base 10) to base 6. -154 Convert 52 (base 7) to base 6. 101 10100 (base 3) to base 2 1011010 Convert -178 (base 11) to base 10. -206 What is 78 (base 11) in base 10? 85 What is 100 (base 10) in base 9? 121 1110 (base 2) to base 15 e What is 13 (base 4) in base 2? 111 38 (base 9) to base 2 100011 What is -2 (base 15) in base 14? -2 5 (base 15) to base 7 5 -110 (base 2) to base 15 -6 Convert -a (base 11) to base 9. -11 Convert 121 (base 3) to base 8. 20 What is 111 (base 4) in base 5? 41 115 (base 7) to base 6 141 Convert -33 (base 14) to base 4. -231 What is 10 (base 2) in base 7? 2 Convert -111 (base 5) to base 13. -25 Convert 33 (base 8) to base 4. 123 What is c (base 14) in base 13? c Convert 3 (base 5) to base 7. 3 Convert -1011011 (base 2) to base 5. -331 What is -11021 (base 3) in base 15? -7a 15a (base 11) to base 2 10111010 -20 (base 3) to base 2 -110 -2 (base 6) to base 9 -2 -1c (base 16) to base 7 -40 What is 5 (base 16) in base 6? 5 What is 8 (base 15) in base 14? 8 Convert -122 (base 7) to base 2. -1000001 What is 4 (base 8) in base 15? 4 Convert -1000 (base 2) to base 8. -10 What is -a2 (base 11) in base 2? -1110000 What is -f (base 16) in base 3? -120 -27 (base 12) to base 3 -1011 Convert -312 (base 7) to base 15. -a6 Convert -31 (base 7) to base 6. -34 What is -4 (base 10) in base 11? -4 -1 (base 4) to base 11 -1 Convert 312 (base 4) to base 3. 2000 -8 (base 14) to base 5 -13 173 (base 8) to base 15 83 -2 (base 15) to base 13 -2 -5 (base 14) to base 10 -5 What is -4 (base 12) in base 10? -4 -6 (base 16) to base 14 -6 What is 169 (base 13) in base 7? 514 What is -33 (base 13) in base 9? -46 What is a (base 12) in base 13? a Convert 1 (base 10) to base 2. 1 What is -11011 (base 2) in base 9? -30 What is 1 (base 13) in base 12? 1 What is -234 (base 6) in base 9? -114 -16 (base 9) to base 8 -17 Convert 24 (base 11) to base 2. 11010 What is 4d (base 16) in base 4? 1031 Convert -99 (base 16) to base 2. -10011001 Convert -67 (base 8) to base 11. -50 What is 22 (base 3) in base 8? 10 What is -58 (base 15) in base 7? -146 What is -22 (base 13) in base 16? -1c Convert 79 (base 15) to base 14. 82 Convert 16 (base 16) to base 9. 24 -3 (base 6) to base 5 -3 What is -3 (base 8) in base 5? -3 What is -23 (base 12) in base 13? -21 -20 (base 13) to base 4 -122 -10010101 (base 2) to base 12 -105 -37 (base 13) to base 16 -2e Convert -13 (base 5) to base 2. -1000 What is -41 (base 5) in base 3? -210 What is -8 (base 10) in base 3? -22 What is 13 (base 4) in base 2? 111 Convert 1 (base 16) to base 3. 1 What is 2 (base 15) in base 6? 2 What is e (base 16) in base 6? 22 Convert -122 (base 5) to base 8. -45 Convert 46 (base 14) to base 16. 3e -12 (base 16) to base 2 -10010 What is 6 (base 8) in base 11? 6 Convert -242 (base 8) to base 12. -116 -131 (base 5) to base 3 -1112 Convert -5 (base 10) to base 4. -11 -213 (base 11) to base 15 -121 What is 5 (base 13) in base 8? 5 What is -3 (base 8) in base 16? -3 What is -46 (base 7) in base 15? -24 What is 112 (base 4) in base 6? 34 -8 (base 11) to base 5 -13 -2 (base 4) to base 9 -2 -313 (base 6) to base 13 -90 Convert 18 (base 10) to base 15. 13 Convert -b (base 16) to base 10. -11 Convert 12 (base 3) to base 14. 5 Convert 0 (base 3) to base 7. 0 10111 (base 2) to base 9 25 What is 10 (base 3) in base 2? 11 What is -11 (base 5) in base 9? -6 -2 (base 14) to base 3 -2 What is -4 (base 8) in base 7? -4 -13 (base 14) to base 3 -122 Convert -201 (base 4) to base 16. -21 What is 1 (base 16) in base 13? 1 What is -10011 (base 3) in base 2? -1010101 What is 16 (base 10) in base 5? 31 Convert 111 (base 2) to base 4. 13 What is -1b8 (base 12) in base 11? -239 Convert 4 (base 16) to base 12. 4 What is 4a (base 13) in base 15? 42 -34 (base 11) to base 6 -101 What is -151 (base 12) in base 7? -412 Convert 10110000 (base 2) to base 8. 260 5 (base 12) to base 14 5 -6 (base 8) to base 15 -6 -75 (base 8) to base 3 -2021 -2 (base 14) to base 12 -2 What is -1001 (base 2) in base 13? -9 What is 39 (base 12) in base 2? 101101 Convert 6 (base 14) to base 7. 6 Convert 1 (base 5) to base 15. 1 What is -14 (base 5) in base 13? -9 What is -13 (base 6) in base 14? -9 What is 28 (base 12) in base 11? 2a What is -31 (base 11) in base 16? -22 What is -24 (base 5) in base 15? -e 100101010 (base 2) to base 8 452 200 (base 4) to base 9 35 What is -21 (base 9) in base 5? -34 What is -2 (base 6) in base 12? -2 Convert 1 (base 4) to base 3. 1 What is 160 (base 11) in base 10? 187 What is 13 (base 16) in base 7? 25 Convert 104 (base 6) to base 3. 1111 What is -46 (base 8) in base 3? -1102 -4 (base 15) to base 14 -4 4 (base 10) to base 4 10 What is -10 (base 3) in base 12? -3 6 (base 10) to base 7 6 2 (base 10) to base 4 2 What is 3 (base 11) in base 15? 3 -100 (base 4) to base 8 -20 What is 6 (base 16) in base 9? 6 22 (base 4) to base 15 a What is -1110 (base 2) in base 14? -10 What is -2 (base 12) in base 2? -10 Convert 2 (base 15) to base 2. 10 Convert 13 (base 10) to base 9. 14 3 (base 10) to base 8 3 10 (base 6) to base 7 6 Convert 0 (base 16) to base 15. 0 -1 (base 8) to base 11 -1 -211 (base 7) to base 16 -6a -6 (base 10) to base 3 -20 Convert -18 (base 10) to base 3. -200 -3 (base 11) to base 14 -3 23 (base 4) to base 15 b Convert -16 (base 9) to base 3. -120 Convert -21 (base 4) to base 2. -1001 Convert -11 (base 2) to base 10. -3 Convert 0 (base 8) to base 6. 0 What is 1 (base 6) in base 11? 1 Convert -54 (base 6) to base 3. -1021 3 (base 16) to base 9 3 Convert -9 (base 14) to base 11. -9 11 (base 4) to base 16 5 What is -2120 (base 4) in base 8? -230 2 (base 13) to base 4 2 Convert 31 (base 12) to base 8. 45 -35 (base 8) to base 6 -45 -8 (base 9) to base 15 -8 What is 457 (base 8) in base 15? 153 Convert 1124 (base 5) to base 4. 2210 What is 4 (base 6) in base 13? 4 What is 2 (base 3) in base 5? 2 Convert -51 (base 7) to base 13. -2a Convert 4 (base 7) to base 9. 4 What is -114 (base 7) in base 4? -330 Convert -2220 (base 5) to base 2. -100110110 144 (base 11) to base 10 169 Convert -3 (base 5) to base 3. -10 What is -23 (base 10) in base 16? -17 Convert 137 (base 11) to base 16. a1 12 (base 7) to base 16 9 What is -12 (base 4) in base 6? -10 What is 0 (base 14) in base 15? 0 What is -3b (base 14) in base 11? -49 -1 (base 5) to base 7 -1 Convert 3 (base 11) to base 15. 3 What is -3 (base 8) in base 12? -3 35 (base 7) to base 11 24 -1c (base 15) to base 3 -1000 -1 (base 10) to base 13 -1 Convert 89 (base 12) to base 8. 151 2 (base 10) to base 5 2 Convert 50 (base 13) to base 11. 5a Convert -3c (base 16) to base 3. -2020 What is 14 (base 5) in base 10? 9 2022 (base 5) to base 4 10012 What is -23 (base 4) in base 7? -14 Convert 112 (base 11) to base 14. 98 Convert -1330 (base 6) to base 16. -156 What is 0 (base 6) in base 7? 0 What is 420 (base 5) in base 8? 156 Convert 4 (base 13) to base 6. 4 Convert -12 (base 3) to base 11. -5 2b (base 13) to base 3 1101 What is 210 (base 4) in base 14? 28 What is 55 (base 8) in base 7? 63 Convert -a (base 13) to base 4. -22 What is 11 (base 15) in base 6? 24 -1 (base 15) to base 16 -1 What is 100012 (base 3) in base 8? 370 What is -40 (base 8) in base 9? -35 10100011 (base 2) to base 15 ad -2 (base 14) to base 8 -2 Convert -1 (base 12) to base 8. -1 What is -4 (base 14) in base 4? -10 What is 32 (base 8) in base 14? 1c What is 22 (base 13) in base 9? 31 -141 (base 6) to base 10 -61 -1 (base 14) to base 3 -1 Convert 11 (base 10) to base 3. 102 What is c7 (base 13) in base 6? 431 Convert -17 (base 9) to base 2. -10000 What is -40 (base 10) in base 15? -2a -3 (base 16) to base 2 -11 -4 (base 6) to base 2 -100 Convert -9 (base 10) to base 4. -21 3 (base 9) to base 16 3 What is 361 (base 8) in base 7? 463 What is 11 (base 3) in base 14? 4 Convert -1 (base 14) to base 8. -1 What is 13 (base 13) in base 9? 17 2 (base 7) to base 16 2 What is 10031 (base 4) in base 6? 1125 12 (base 12) to base 4 32 What is 122 (base 3) in base 15? 12 Convert 11 (base 2) to base 12. 3 What is 4 (base 8) in base 16? 4 Convert 13 (base 4) to base 3. 21 What is 4 (base 7) in base 9? 4 What is 1b (base 16) in base 4? 123 What is -62 (base 14) in base 13? -68 What is 1101 (base 2
{ "pile_set_name": "DM Mathematics" }
-6) Simplify (k*k**0*k)**(-27)*(k/(k*k*k**9))/(k**(-11)*k) assuming k is positive. k**(-54) Simplify (z**0)**(1/34)*(z*(z*z**10*z)/z)/(z**24*z*z) assuming z is positive. z**(-14) Simplify (o**(-5)*o**(4/17))**(-2/3) assuming o is positive. o**(54/17) Simplify (x*x*(x/x**(6/13)*x)/x*x**0*x)/(x/(x/((x*x**(1/3))/x))*(x*x/x**9*x)/x) assuming x is positive. x**(398/39) Simplify (h*h/(h*h**(-1/10))*h*h**(2/9))/(h**19/(h/(h/(((h/h**20)/h)/h*h)*h))) assuming h is positive. h**(-3391/90) Simplify b**0*b**(4/7)*b**1/b**(-7) assuming b is positive. b**(60/7) Simplify (g**(-2/37)*(g/(g*g**(8/7)*g*g))/g)/((g*g**(2/5))/(g/g**22)) assuming g is positive. g**(-34443/1295) Simplify ((g*g**(-3/11)/g)/g)/(g*g**(-9))*g**(2/45)/((g/g**4)/g) assuming g is positive. g**(5332/495) Simplify ((v/(v*v**(-3)))/v*v**8)/((v*v*v/(v**(-8)*v)*v)/(v**(3/11)/v)) assuming v is positive. v**(-19/11) Simplify (r*r/((r/(r*r/(r/r**(-2/23)*r)))/r))/(r*r*(r**(-10)/r)/r*r*r)*(r*r**4)**(-46) assuming r is positive. r**(-5062/23) Simplify (v/((v/(v*v/(v/(v/(v*v/((v*v**7)/v))))*v*v))/v*v)*v*v**(-3/8))**(2/83) assuming v is positive. v**(77/332) Simplify (y**(2/7))**(-26)*y**(-16)*y/(y/y**(-1/3)) assuming y is positive. y**(-499/21) Simplify ((d**(-5/6)/d*d)/d**(-1/14))/(d**(-1/4)/d*d*d)**49 assuming d is positive. d**(-3151/84) Simplify (o**(-8)/o*o)**(8/9)/(o**(-1/33)/(o/(o/(o*o*o**(3/2))))) assuming o is positive. o**(-709/198) Simplify (l**(-1/4)/(l**(-4)/l*l))/(l**(-1)/l)**(-4) assuming l is positive. l**(-17/4) Simplify (s**(-3/2))**(-4/37)*(s**(-1/7)*s)**17 assuming s is positive. s**(3816/259) Simplify (((z**2)**(-37))**(-9/7))**(2/53) assuming z is positive. z**(1332/371) Simplify k**(-2)/(k*k*k**6)*k**(-3/5)*k**(-11) assuming k is positive. k**(-108/5) Simplify ((a/(a**9*a)*a*a)/(a/((a/(a**(-26)*a))/a*a)*a))/(a/a**(9/8)*a**(-1)*a) assuming a is positive. a**(137/8) Simplify (j/(j/j**(7/2)))**(-2/49)/((j*j**24*j)/j*j**8*j) assuming j is positive. j**(-239/7) Simplify (l*(l*l**3*l)/l)/l*l*l*l**4/l*(l**(-14)*l)/(l**(-2/35)*l) assuming l is positive. l**(-173/35) Simplify (n*n**(-4)*n/(n/n**(-6/7))*n/(n**5/n)*n*n**(-3/10)/n)**(2/65) assuming n is positive. n**(-501/2275) Simplify (((p*p**(2/11))/p**(-2/23))/((p*p**(-2/29)/p)/(p/p**8)))**(2/91) assuming p is positive. p**(-83088/667667) Simplify (f**2)**(2/21)/(f**15*f*f**(-13/3)) assuming f is positive. f**(-241/21) Simplify (w/(w/w**(2/11)*w))/(w**(3/20)/w)*(w**(-11)*w)**(33/7) assuming w is positive. w**(-72551/1540) Simplify y**(-3/22)*(y/((y*(y/(y/(y*y/((y*y/y**(-21))/y)))*y*y)/y)/y))/y*y**(-5)/y**(-21) assuming y is positive. y**(767/22) Simplify (((d**(-6)/d)/(d/((d*d*d**8*d)/d)))**(1/24))**18 assuming d is positive. d**(3/2) Simplify n/(n**(-23)/n)*n**(2/19)*n**6/n*n*n**(-6/11)*n assuming n is positive. n**(6596/209) Simplify l**(-1)*l/(l*l/(l*l**(-11)))*(l/(l/l**3))**27 assuming l is positive. l**69 Simplify (k**7/k*k/k**(-3/23)*k)/(k**7*k/(k*k/k**30)) assuming k is positive. k**(-641/23) Simplify (f**(-6))**(7/5)/(f**(2/15)/f**(-17)) assuming f is positive. f**(-383/15) Simplify (d**(5/3)*d)**(-17)*(d**(1/2))**(-4/3) assuming d is positive. d**(-46) Simplify (w**(-4))**(2/67)/(w**2)**(-49) assuming w is positive. w**(6558/67) Simplify (q**(6/11)*q**(5/9))/((q*(q*(q/q**(-3))/q*q)/q)/((q*q**(-13)*q)/q)) assuming q is positive. q**(-1574/99) Simplify (z*(z/(z/((z/(z**(-1/2)/z))/z))*z)/z)**(5/6)*z**(-1/4)/z**(-4/13) assuming z is positive. z**(167/78) Simplify (v/(v/(v/(v*v**8*v)))*v*v*v*v/(v**(1/10)*v)*(v*v/(v/(v*v**2/v)*v))**(-4/7))**(-7/10) assuming v is positive. v**(507/100) Simplify ((a**(-3/13)/a*a)/(a*((a**(1/44)/a)/a)/a*a))**24 assuming a is positive. a**(2562/143) Simplify (((a*a*a*a**37*a)/a)/a*a)/a**(9/2)*(a/a**(-2/3))**4 assuming a is positive. a**(253/6) Simplify ((c/c**(-7)*c**0/c)/(c/((c**(-2)/c)/c))**24)**(6/5) assuming c is positive. c**(-678/5) Simplify ((i/(i/i**20))/i)**(-36)*(i**(-19))**(2/43) assuming i is positive. i**(-29450/43) Simplify (c/c**7*(c*c/(c/(c*c**(-3/8))))/c)/(((c/(c*c**1/c))/c)/c**(1/3)) assuming c is positive. c**(-97/24) Simplify (m**(-2/3)/(m**2*m))/(m**(-5/3)/m)**(-3/13) assuming m is positive. m**(-167/39) Simplify ((v/(v*v/(v*v**(-1))))**(-30)*v**(-1/2)/(v**(3/5)/v))**(-1/22) assuming v is positive. v**(-299/220) Simplify ((j**(-1)/j)/j)**(-4/9)*(j**(8/9))**(-33) assuming j is positive. j**(-28) Simplify (i*i**1)**(-17)/((i*i**3*i)/i)**(2/127) assuming i is positive. i**(-4326/127) Simplify ((m*m**(-8/9)/m)**(-38))**40 assuming m is positive. m**(12160/9) Simplify ((o*o*o*o**1*o*o**(-2/3)*o)**(6/19))**(2/91) assuming o is positive. o**(64/1729) Simplify w*w**(6/11)*(w/(w*w**10))/w*((w/w**(1/10))/w)**(-5/3) assuming w is positive. w**(-613/66) Simplify b**9/(b**(-21)/b*b)*b**(14/9)/(b**26/b) assuming b is positive. b**(59/9) Simplify ((t**(2/25)/(t**7/t))/(t*t/(t/(t*((t*t**(-1/10))/t*t)/t))*t*t**(-4)))**(-2/3) assuming t is positive. t**(241/75) Simplify (t*t*t/(t*t**(-1/5))*t**(-3/8)*t)/(t/t**(-21)*t/t**(-9)) assuming t is positive. t**(-1167/40) Simplify (p/p**(-14/11)*p*p**9)/(p**21*p**(-2/13)) assuming p is positive. p**(-1226/143) Simplify (u**(-5)*(u**(2/11)/u*u)/u)/(u*(u/u**(9/4))/u*u**(-1/9)/u) assuming u is positive. u**(-1369/396) Simplify (l*l**4)/(l**4/l*l)*(l/l**(-1/4))**(-26) assuming l is positive. l**(-63/2) Simplify ((h*h**(4/11))/h)**(-14/9)/(((h**29/h)/h)/h**(-22)) assuming h is positive. h**(-4907/99) Simplify (v**(2/27))**(11/6)*(v**(3/5)*v)/v**3 assuming v is positive. v**(-512/405) Simplify (z**18)**(-37)*(z/(z*z/(z*z**(-21))))**(1/8) assuming z is positive. z**(-5349/8) Simplify (((h*(h/(h**6/h))/h)/h**(2/3))/(h**(-1/3))**21)**33 assuming h is positive. h**77 Simplify ((r/r**(7/4))/r)**16/((r**(-7)*r*r)/(r*r**(-2/31))) assuming r is positive. r**(-684/31) Simplify (a**(-6)/a**(-8)*(a*(a/a**(-4))/a)**(1/8))**(-25) assuming a is positive. a**(-525/8) Simplify r**(-14)/((r*r*r*(r/(r/(((r/r**12)/r)/r)*r))/r)/r)*(r/r**(2/5))**(2/5) assuming r is positive. r**(-19/25) Simplify (u**(-6/7)/u*u*u**(-5)*(u*u**(-2/15))/(u**(-1/11)*u*u))**(-4/7) assuming u is positive. u**(31876/8085) Simplify (u*u/u**(-33)*u**(14/9))**(-32) assuming u is positive. u**(-10528/9) Simplify (y*y**(-28))**(-1/30)*(y**(-1/36))**38 assuming y is positive. y**(-7/45) Simplify ((t**0/t)/(t**(-2/13)/t))/((t*t**12)/(t/(t/(t/(t**(5/3)/t)*t))*t)) assuming t is positive. t**(-410/39) Simplify (v**(-3))**(-6/13)*v**12/v**(-12) assuming v is positive. v**(330/13) Simplify ((i/(((i*(i*i**3)/i)/i)/i*i))/i)**39*((i**(-5)*i)/i)**(-34) assuming i is positive. i**53 Simplify (b**26/(b**(-12)/b))**(-14/5) assuming b is positive. b**(-546/5) Simplify ((j**(-6)*j)/(j/j**(4/25)))**(4/17) assuming j is positive. j**(-584/425) Simplify ((k/(k/((k**1/k)/k*k))*k**(-3))/(k**(2/3)*k)**(-1))**6 assuming k is positive. k**(-8) Simplify (m**1)**(-1/3)*m**7/(m*m**(-1/2)/m) assuming m is positive. m**(43/6) Simplify m**(2/7)/m**(2/17)*(m/m**1)**(-6/13) assuming m is positive. m**(20/119) Simplify (o**(-16))**(-3/41)*o**(4/13)*o*o**(-32)/o assuming o is positive. o**(-16268/533) Simplify r**8/(r/r**(-4))*r*r/(r*r/(r/(r/((r*r/(((r*r**(-3/16))/r)/r))/r*r))*r))*r*(r*((r*r*r**11*r*r)/r)/r)/r*r assuming r is positive. r**(355/16) Simplify ((y/(y*y**(-1/4))*y*y**(-1/7))/(y**(-1/3))**(-41))**(-9/4) assuming y is positive. y**(3165/112) Simplify z**(2/15)*z**(-1)*(z**(-4))**(14/9) assuming z is positive. z**(-319/45) Simplify (d**(-1/7)/(d/d**(5/8)))**(-3/4) assuming d is positive. d**(87/224) Simplify (x*x/x**(-1/3)*x)**12/(x**(2/13))**(-12/11) assuming x is positive. x**(5744/143) Simplify (z**(2/19)/z**4)/(z/z**(-2)*z**(-12)) assuming z is positive. z**(97/19) Simplify ((d**(2/13)*d)/(d**(-5)/d)*(d**0)**(-3/5))**(-15) assuming d is positive. d**(-1395/13) Simplify p*p**(2/3)*p*p/(p/(p/(p/(p*(p*p/((p*p**(-9/7)/p)/p))/p))))*p**(-1)/((p*p**(2/17)*p)/p) assuming p is positive. p**(1726/357) Simplify (((y/y**(2/15)*y)/y)/(y*y**(-18)))/(y**1*y*y*y**4) assuming y is positive. y**(163/15) Simplify (n/(n/(n/((n**(4/5)/n)/n)*n))*n)/(n*n**(-2/11)*n)*n*n/n**(-1/16)*n/(n/n**(3/2)) assuming n is positive. n**(5231/880) Simplify (((c*c*c**(-4/3))/c)**(3/13))**9 assuming c is positive. c**(-9/13) Simplify ((o**(2/23))**(-1/4))**(2/33) assumin
{ "pile_set_name": "DM Mathematics" }
tive of 591*n**6 - 5*n**4 + 12326*n**2? 70920*n**3 - 120*n What is the second derivative of -158*y**2 + 557*y? -316 Find the second derivative of 58*f**2*n*z**3 + 5*f**2*n*z + f**2*n + 10*f**2*z - 6*f*n*z**2 + 2*f*z**3 - 19*f wrt z. 348*f**2*n*z - 12*f*n + 12*f*z Find the first derivative of -2*i*u**3 + 6*i*w**2 + 6*i + 135*u**3 - 9*u**2*w + 2*w**2 wrt i. -2*u**3 + 6*w**2 + 6 Find the second derivative of 2*i*l*x**2 - 3*i*l*x + 69*i*x**3 + 3*l*x**3 - 23*l*x + 2*l - 9*x wrt x. 4*i*l + 414*i*x + 18*l*x What is the second derivative of 73*b**4 + 188*b? 876*b**2 Differentiate b**2*j**2*l**2 - 2*b**2*l**3*u + 9*b**2 + 265*b*j**2*u + 2*b*j*l**3 + 4*j**2*l**2 with respect to u. -2*b**2*l**3 + 265*b*j**2 Find the first derivative of g*j**2*l**2 - 13*g*j**2 + 249*g*j + 116*g*l**2 + 2*g*l wrt l. 2*g*j**2*l + 232*g*l + 2*g Find the third derivative of -4980*x**3 + 179*x**2 - 2*x wrt x. -29880 What is the first derivative of 93*i**3*n**3 + 3*i**3 + i + 2*n**4 wrt n? 279*i**3*n**2 + 8*n**3 Differentiate -317*q*x**3 - 10*x**3 - 14*x wrt q. -317*x**3 What is the first derivative of -207*f**2 - 173? -414*f What is the first derivative of 3*y**2*z**2 - y**2*z - 1148*y**2 - 6*z**2 wrt z? 6*y**2*z - y**2 - 12*z What is the third derivative of 265*v**3 + 14*v**2 - 3*v + 13 wrt v? 1590 What is the third derivative of -v**4 + 1968*v**3 - 11116*v**2 wrt v? -24*v + 11808 Differentiate -32*f**2*r - 3*f*r + 233*r + 2 wrt f. -64*f*r - 3*r Find the second derivative of -2010*j**3*r + 80*j - 9*r wrt j. -12060*j*r Find the third derivative of 11*g*n**5 + 54*g*n**3*y**3 - 3*g*n**2 + 52*g*n*y**3 - 3*n**2*y**3 wrt n. 660*g*n**2 + 324*g*y**3 Find the second derivative of -376*l**3*s**5 - 2*l**3*s - 295*l**3 - 5*s**2 wrt s. -7520*l**3*s**3 - 10 What is the second derivative of 58*c**5 + c**4 + c**2 + 2*c + 757? 1160*c**3 + 12*c**2 + 2 Differentiate -871*y**2 - 512 wrt y. -1742*y Find the second derivative of -12*g**5 - 73*g**4 + 677*g wrt g. -240*g**3 - 876*g**2 Find the third derivative of -130*w**6 + 2*w**3 + 801*w**2. -15600*w**3 + 12 Find the second derivative of 2*d**3*y + d**3 - 2*d**2*k + 5*d**2*y + d*k*y + 15*d*y + 3*k*y wrt d. 12*d*y + 6*d - 4*k + 10*y Find the second derivative of -293*t**2 - 4*t - 25 wrt t. -586 Find the second derivative of 409*t**4 + 130*t - 2. 4908*t**2 What is the second derivative of r**2*u**2*x - r**2*u*x**3 + 2*u**2*x**3 - 10*u**2*x**2 - 2*u*x**3 + 5*u*x**2 wrt u? 2*r**2*x + 4*x**3 - 20*x**2 Find the second derivative of -4*g**5*x + 4*g**3*x - 18*g**2*x + 775*g*x - 2*g wrt g. -80*g**3*x + 24*g*x - 36*x Find the second derivative of 759*d**3*o*q**2 + 26*d**3*o*q + 2*d**2*o*q**2 + d*o*q wrt q. 1518*d**3*o + 4*d**2*o What is the third derivative of -9546*g*k**6 + g*k**4 + 16*g*k**2 - 2*g - 2*k**2 + 49 wrt k? -1145520*g*k**3 + 24*g*k What is the derivative of 49*b**3 - 27*b**2 - 3919? 147*b**2 - 54*b What is the second derivative of 195*a**2*m**2 - 2*a**2*m + 13*a*m**2 + a*m - 5*m**2 wrt a? 390*m**2 - 4*m Find the third derivative of -2*h**4*l*n - 4*h**4*n**3 - h**3*n**3 - 2*h**2*n**3 - 3*h**2*n + l wrt h. -48*h*l*n - 96*h*n**3 - 6*n**3 Find the third derivative of 374*q**3 - 263*q**2. 2244 Differentiate -4*z**3 - 13*z + 532 wrt z. -12*z**2 - 13 Differentiate -60*g**2 - 65 with respect to g. -120*g Find the third derivative of -7137*z**5 - 8105*z**2 wrt z. -428220*z**2 Find the second derivative of 4*g**2*i**3*r + 16*g**2*i*m**2*r - 2*g**2*m*r - 2*g*i**3*m**2*r + g*i**3*m + 57*g*i*m - i*m*r - 2*m**2 wrt g. 8*i**3*r + 32*i*m**2*r - 4*m*r What is the second derivative of 14318*p**4 - 9765*p? 171816*p**2 What is the second derivative of -110*q*u**3 + q*u**2 - 290*q*u - 2*u**3 - 2*u wrt u? -660*q*u + 2*q - 12*u Differentiate 4*j**4*t**2 + 35*j**3 - 572*t**2 wrt j. 16*j**3*t**2 + 105*j**2 What is the second derivative of 417*o**2*p**3 + 2*o**2 - 560*o*p**3 - 2*p**3 wrt o? 834*p**3 + 4 What is the second derivative of -2*v**5 + 31*v**4 - 45*v**3 - 5023*v? -40*v**3 + 372*v**2 - 270*v What is the second derivative of -25*a**3*c**2 - a**3*c - 4*a + 2*c**2 - 17 wrt a? -150*a*c**2 - 6*a*c Find the second derivative of -172*d**2 - 130*d wrt d. -344 What is the third derivative of 365*c**4 - 407*c**2 + 1 wrt c? 8760*c Find the third derivative of 3719*s**4 - 4*s**2 - 135*s. 89256*s What is the second derivative of 119*h**5 - 144*h - 3? 2380*h**3 Find the second derivative of -370*r**5 - 71*r - 2 wrt r. -7400*r**3 Find the third derivative of 622*p**3*q + 5*p**3 - p**2*q - 40*p**2 + 3*p*q + 1 wrt p. 3732*q + 30 Find the second derivative of -2*g**5 - 350*g**3 - 3874*g wrt g. -40*g**3 - 2100*g What is the first derivative of 7*s**3 - s**2 + 104*s - 1441 wrt s? 21*s**2 - 2*s + 104 Find the third derivative of 23*b*f**3*w**3 - b*f**3*z - 5*b*f**2*w + 2*b*f*w**3*z**2 - 3*b + 2*w**2 - 3*w*z**2 wrt w. 138*b*f**3 + 12*b*f*z**2 What is the second derivative of -52*f*k**2*t**2 + f*k**2 - 51*f*k + 7*f*t - 8*k**2*t**2 - t**2 wrt k? -104*f*t**2 + 2*f - 16*t**2 Differentiate -362*j - 2261 wrt j. -362 What is the second derivative of n**3*z**2 - 492*n**2*z**3 - 2*n*z - 52*z**3 + 2*z**2 wrt n? 6*n*z**2 - 984*z**3 Find the second derivative of 39*o*x**3 - 10*o*x**2 + 3*o*x + o - 8 wrt x. 234*o*x - 20*o What is the first derivative of 2*h**4 - h**3 - 629*h**2 + 11567 wrt h? 8*h**3 - 3*h**2 - 1258*h Differentiate -661*d*h**2 + 3*h**2 + 209 wrt d. -661*h**2 What is the third derivative of -7030*r**5 + 3*r**2 - 5*r - 6 wrt r? -421800*r**2 Find the second derivative of -348*h**4 - 187*h wrt h. -4176*h**2 Differentiate -o*z - 2247*o - 1697*z - 2 with respect to z. -o - 1697 What is the second derivative of 206*c**4 - 60*c? 2472*c**2 Find the third derivative of s**6 + 1049*s**4 - 2954*s**2 wrt s. 120*s**3 + 25176*s Find the second derivative of 95*d**3*t**2 - 56*d**3 + 2*t wrt t. 190*d**3 Find the second derivative of 292*u**2*y - 335*u*y - 3*y wrt u. 584*y Find the second derivative of 7569*g**3 + 2333*g + 2 wrt g. 45414*g Differentiate -1886*v**4 + 1419 wrt v. -7544*v**3 What is the second derivative of -2047*o**2 + 1931*o? -4094 What is the derivative of z**3 + 2883*z**2 - 2296? 3*z**2 + 5766*z Find the third derivative of 9021*d**6 + 1302*d**2 wrt d. 1082520*d**3 What is the third derivative of 3*b*l*r**4 - 17*b*l*r**3 - 3*b*l*r - b*r**4 - 5*b*r**2 - 9*b - 6*r**2 wrt r? 72*b*l*r - 102*b*l - 24*b*r What is the third derivative of 27*b**5 + 17*b**3 + 2179*b**2? 1620*b**2 + 102 Find the second derivative of -2*l**3*o**2*t**2 - 2*l**3*o*t**2 + 7*l**3*o + l**2*t - 10*l*o**2*t**2 + l*t**2 wrt o. -4*l**3*t**2 - 20*l*t**2 What is the derivative of 17268*a**2*t**4 - 10*a**2 - 23*a wrt t? 69072*a**2*t**3 What is the third derivative of 779*a**4*m**2 - 2*a**4*r**3 + a**2*m*r**3 + 12*a**2*m*r + 8*m**2*r**3 wrt a? 18696*a*m**2 - 48*a*r**3 What is the first derivative of -5*n*z**3 - 5*n*z + z**3 - 69 wrt n? -5*z**3 - 5*z Find the second derivative of 6*d**2*w**2 + 2*d**2*w - 4*d**2 + 193*d + 11*w**2 wrt d. 12*w**2 + 4*w - 8 Find the second derivative of 5*u**4 - u**3 - 28*u**2 + 15948*u. 60*u**2 - 6*u - 56 Find the second derivative of 67*l**3 - 160*l wrt l. 402*l Differentiate 1723*i*x**4 + 5*i*x**2 + 18089*i with respect to x. 6892*i*x**3 + 10*i*x What is the first derivative of -491*z**3 - 156? -1473*z**2 What is the derivative of -8413*m + 9438 wrt m? -8413 Differentiate 911*j**4 + 1495 with respect to j. 3644*j**3 What is the derivative of -711*i**2 + 388? -1422*i What is the derivative of 2*q**4 - 374*q**2 + 3654 wrt q? 8*q**3 - 748*q Differentiate 18*f*r - 34*f + 2*r**2 wrt r. 18*f + 4*r Find the third derivative of -10*c*y**3 + 9*c + 41*y**3 - 88*y**2 wrt y. -60*c + 246 Find the second derivative of -2*m**4*x + 25*m**3*x + 3*m**2 - m*x + 161*m - 2*x wrt m. -24*m**2*x + 150*m*x + 6 What is the derivative of -923*k + 331? -923 What is the second derivative of -230*m**2 + 322*m wrt m? -460 What is the derivative of -145*l**2*u**2 + 391*l**2 - l*u wrt u? -290*l**2*u - l What is the second derivative of 1789*b**5 - 585*b + 6 wrt b? 35780*b**3 What is the first derivative of 471*d**3*j + 11*d**2*j - 9621*j wrt d? 1413*d**2*j + 22*d*j What is the third derivative of -5*k**3*t**4 + 7*k**3*t**2 - k**3 - k**2*t**2 + 5*t**3 wrt t? -120*k**3*t + 30 Find the third derivative of 4*k*m**4*q - 2
{ "pile_set_name": "DM Mathematics" }
sitive. f**(4/345) Simplify (d*d**38*d**(-18)*d)/(d**(-3)*d)**45 assuming d is positive. d**112 Simplify (r*r**0*r)/((r*r**(-7))/r)*(r**(2/7))**30*(r**(-2/9))**(-1/6)/((r/((r/r**(1/8))/r))/r**8) assuming r is positive. r**(37019/1512) Simplify (x*x/x**(1/4)*x*x**6)/((x*x**(-7)*x)/((x/((x*x*x**(-1))/x))/x))*(x**(3/2)*x*x*x**(-2/7))**(3/29) assuming x is positive. x**(11435/812) Simplify (k**(-6/13)*k/k**(-3)*(k**0)**(-8/9))**(1/63) assuming k is positive. k**(46/819) Simplify ((n/(n*n**(-1)))**(-17)*((n/n**(2/5))/n)**(-44))/((n*n*n**(2/3)*n*n)**(-47/3))**(-11) assuming n is positive. n**(-36163/45) Simplify (o**(3/7))**(-49)/(o*o**(1/8))**(2/47) assuming o is positive. o**(-3957/188) Simplify i**(-7)/(i*i**(5/2)*i)*i**(-4/3)/i**8*(i*i**(-2)/i)/((i/(i/i**6))/i)*(i*i/(i*i**2))**(1/28) assuming i is positive. i**(-2341/84) Simplify (u**(-1/3)*u*u**(4/9)*u)/(u**(-1/2))**(-5)*((u*u**8/u)/u*u*u**(-1/2)*u)**(2/9) assuming u is positive. u**(3/2) Simplify (((h*h**(-3)*h)/h)**(-2/93))**(1/18)*(h/((h/h**(-5))/h)*h/h**9*h)**(-7/10) assuming h is positive. h**(64469/8370) Simplify (p**(-1/4)/p**2*(p/p**(-2/27))/((p**7/p)/p))/((p*p**(-2)/p)**(8/17)*(p*p**(-2)/p)/(p*p*p**(-7)*p)) assuming p is positive. p**(-13283/1836) Simplify d**21*(d**(-5/3)/d)/d*(d*d**15*d)/d**47 assuming d is positive. d**(-38/3) Simplify (h/(h**(1/8)*h)*(h/(h*h**(-3/11)))/h)**(6/19)/(h**(3/5)*h**0*h*h)**13 assuming h is positive. h**(-142409/4180) Simplify (d**3*d*d*d**(-3/4))**(-4)*(((d**1/d*d)/d*d)/d)**(-29)/(d*d**(2/3))**(2/43) assuming d is positive. d**(-2203/129) Simplify ((b*b**(-12))/(b*b**(-4/3)))**(4/17)*(b**(3/2)*b**(-9))/(b**(-7)*b*b/(b**(-6)/b)) assuming b is positive. b**(-1225/102) Simplify ((p**5)**44)**(1/2)*p*p*p/(p/(p*p/p**(-2/3)))*p/(p*p**(1/4))*(p*p**(1/4)/p)**10 assuming p is positive. p**(1403/12) Simplify ((l**(2/3)/l)**13)**(-2/9)*(l/(l**(-6)*l))/(l/l**5)*l**(2/5)/l**7 assuming l is positive. l**(589/135) Simplify (r**19/r**(8/3))/(r**(-2/53)/(((r/(r*r**(-25/2)))/r)/r)) assuming r is positive. r**(8545/318) Simplify (((m**(-6/5))**(-33))**(2/91))**(11/3) assuming m is positive. m**(1452/455) Simplify (((v/(v/v**0))**0/(v/(v*v*v*((v/v**2*v)/v)/v)*v*v**(-1/6)*v))**(11/3))**(-19/6) assuming v is positive. v**(2299/108) Simplify ((t*t**(-1/3)/t*t)/t)**(-5/9)*(t**1/t)**(-6)*(t*t**(2/7)*t*t)**(33/2)*t**(-2)/t**2 assuming t is positive. t**(19051/378) Simplify ((n**(-1/4))**(5/13))**(-32)/((n**(-2/5)*n*n)**(-1/27)*(n*n**3)/n**(-3)) assuming n is positive. n**(-6781/1755) Simplify d*d**(-2/15)*d**5/d*d*d**1*d*d**0*(((d**(-1)*d)/d*d)/d)**(7/10)*(d**(-1))**13 assuming d is positive. d**(-35/6) Simplify c**(3/5)/(c*c**(-1/3)/c)*c**(-5)/c**(-1/9)*(c/c**(-1))**(-2/7)*((c/c**(-2/3))/c)/c**(-3) assuming c is positive. c**(-271/315) Simplify ((b/(b*(b*b/(b/b**5))/b))**(-31)/(((b*(b**(-10)/b)/b)/b)/b**(15/8)))**(1/5) assuming b is positive. b**(1351/40) Simplify (((t/(t/(t/((t*(t*t**(-30))/t*t)/t))*t))**(-21))**(-24))**10 assuming t is positive. t**146160 Simplify (((w*w*w*w/(w**(-9)*w))/(w**(-1/5)/w)*w**(7/3)*(w**(-3)/w)/w)**(29/4))**(2/135) assuming w is positive. w**(2291/2025) Simplify (((f*f**(3/5)/f*f)/f)**46*(f**(-2/13))**(27/2))**(-34) assuming f is positive. f**(-56406/65) Simplify (g/g**(-1))**11*g**(-4)*g*g**6*(g**6*g*g**(-1))**(-1/20) assuming g is positive. g**(247/10) Simplify (((o*o**(3/20))**(-1/2))**(-2/65))**(-35) assuming o is positive. o**(-161/260) Simplify (m/m**(-31)*m**13)/(m**(-21/4)/m*m/m**(-1/4)) assuming m is positive. m**50 Simplify ((u**(-1/4))**15/(u**6/u*u*u**5/u))/((u*u**(-2/5))**(-1/3)/(u/((u**(-2/3)*u)/u*u*u))**(-15/11)) assuming u is positive. u**(-2881/220) Simplify (f**(-2/5))**28*f**0*f/(f*f**(2/7)*f)*(f**8/(f**(-1/9)/f*f))/((((f**(3/7)/f)/f)/f)/f**(-2/5)) assuming f is positive. f**(-694/315) Simplify ((v/(v**(-3/8)*v))/(v**(1/6)*v*v))**(10/13)*((v/((v*v**(-3))/v))/(v*v**7))**(10/9) assuming v is positive. v**(-2725/468) Simplify (m**(-1/5)/m)/m**(2/5)*m**5/m*m*m**3*(m/(m**6*m)*(m*m/m**(1/2))/m)/(m**(-2/7)/m)**42 assuming m is positive. m**(549/10) Simplify ((s/s**(-1/8))/(s/((s/s**(-2/7))/s)*s))**(1/3)*(s**0/(s/(s**(1/4)*s)))/(((s/(s/(s/(s*s**(1/7)))))/s*s)/(s**(-5)*s)) assuming s is positive. s**(-213/56) Simplify (((h*h/h**(9/2))/((h/h**(-21/8))/h))/(h**(2/47)*h**23))**(2/33) assuming h is positive. h**(-10591/6204) Simplify ((q*q/q**(-3)*q*q*q**6/q*q/(q*(q/(q/q**(-1))*q)/q*q*q)*q*(q**(3/5)*q)/q*q)**(-5))**(-20) assuming q is positive. q**1360 Simplify ((((r/(r/(r*r**11)*r))/r*r)/r)**39*(r/(r*r/r**(-14/3)))/(r*r*r/(r*(r*r**(2/11)*r)/r*r)))**(1/33) assuming r is positive. r**(12689/1089) Simplify (((o*o**(1/4))**33/(o*o*o/o**(2/9)*o/(o/(o*o**(-2/3)/o)*o)))**(-4/13))**(-16/9) assuming o is positive. o**(23120/1053) Simplify (x**(2/3)*x/(x/x**(-2/5))*x*(x/x**(-4))/(x*x**(-5)*x))/(x**(2/11)*x**(4/5))**(-3/8) assuming x is positive. x**(6359/660) Simplify (c**(-7)*c**(1/13)/c*c)**(2/35)*((c**0)**18)**(2/103) assuming c is positive. c**(-36/91) Simplify (((h*h/(h*h/h**29*h))/h)/(h**(-4)*h)*(h**21*h)/(h**(40/3)/h))**(-2/41) assuming h is positive. h**(-238/123) Simplify (((f/f**(-2/7))/f*f)/(f**(1/4)*f))**48/((f**(-1))**(-1/2))**(-1/7) assuming f is positive. f**(25/14) Simplify ((d**1*d**(1/3))/(d/(d*d/(d**(-1)/d)))**(-31))/((d**1*d)**(-12/7))**(1/8) assuming d is positive. d**(-1916/21) Simplify q**8/(q/(q/((q/(q/(((q/(q/(q*q*q**(-2/7)*q*q))*q)/q)/q)))/q)))*q/(q*q**8)*q/q**(-1/4)*(q**(-11)*q*q**(2/3))**(-2/21) assuming q is positive. q**(107/252) Simplify ((q**(1/25)*q*q*q*q**3)/(((q/(q**(-2)*q*q))/q)/q*(q*(q/(q/q**(-5)))/q)/q))**13 assuming q is positive. q**(4238/25) Simplify (c**(-2/11)*c*c**(-13))**(-2/31)/((c**(-2)*c*c**(-9))/(c**2/(c**3*c))) assuming c is positive. c**(2996/341) Simplify (j**(-10)*j*j*j*j**(-3/13)*j*j/j**(-10)*j*(j/(j*((j*j*j**(-2/7))/j)/j*j))/j)**37 assuming j is positive. j**(13653/91) Simplify (((z**(-1/2)*z*z*z)**(-1/13)*((z*z**0/z)/z)**38)**(-18))**43 assuming z is positive. z**(384291/13) Simplify ((((q**4/q)/q*q)/q**(-2/13))/((q*q**0)/q*q)**(11/7))/(q**0/((q*q/q**(-3/2))/q))**30 assuming q is positive. q**(6969/91) Simplify ((h**(2/7)/h)/h**(-3))/((h**(-5)*h)/(h**5/h))*((h*h**(2/11)/h)/(h/h**(-2)))/(h**(-4/7)/(h*h**(1/8)/h)) assuming h is positive. h**(5029/616) Simplify (((z**(3/10)/z*z*z*z**(-2/13))/(z**(-2/5))**(1/34))**(-24))**3 assuming z is positive. z**(-92124/1105) Simplify l**(-2/37)/(l*l**(-1/16))*(l*l*l*l*l/(l*l*l*l**(1/18)/l))/((l*l*(l/l**(-1/4))/l*l)/l) assuming l is positive. l**(-1583/5328) Simplify (b**(-4/7)*b**(1/4))**(-3/7)*(b**(2/23)/b**(-1))/(b**0*b**0) assuming b is positive. b**(5521/4508) Simplify ((h**(-2/17))**(2/23)/(h**1/h)**(-28))**(25/6) assuming h is positive. h**(-50/1173) Simplify (m*m**39*(m*m/m**(-33))/m)/(m*m**(-2/15))**35 assuming m is positive. m**(131/3) Simplify (((y**45*y/(y/(y/y**32)*y))**(-7))**43)**40 assuming y is positive. y**(-156520) Simplify ((k**(-2))**5)**(14/13)*(k*k*k*k/(k**(-6)*k)*k)/(k**(4/7)/k)*(k**(-3)/k)/k*k/(k/(((k*k**1/k)/k)/k)) assuming k is positive. k**(-577/91) Simplify (t/(t**(11/7)*t))**(2/105)/((t*t*t*t*((t/(t**(-18)*t))/t)/t)/(t/t**(-43))) assuming t is positive. t**(17618/735) Simplify ((b*b**(-9)*(b*b*b**(-4))/b*b*b)/(b**(-1)*b**2))/((b/b**(3/4))/b**(1/11)*((b*b*b*b*b/(b/b**(-2/3))*b)/b)**31) assuming b is positive. b**(-14981/132) Simplify ((s**(1/4))**39/(((s*s/(s**(-4)*s))/s*s)/(s*s**4)))/(((s*s**4)/(s*s/(s/(s**(2/13)/s))))/((s/(s*s**(2/3)))/s)**(-3/4)) assuming s is positive. s**(80/13) Simplify ((g*g**(-1/8)*g)/(g*g/(g/((g/g**(-4))/g)))*g**(-2)/g*g/g**(-4))/((g**(2/3)*g*g)**(-26)*(g/g**(1/5))**50) assuming g is positive. g**(677/24) Simplify (((h/h**(1/2))/h)**(-3/16)/((((h*h*h**2)/h*h)/h)/(h**(-6)*h)))/(h**(2/3)*h*h**(-6))**(-30) assuming h is positive. h**(-4413/32) Simplify ((((j/j**(-1/3)*j)/(j**1*j))/(j*j**(-2)*j*j)**(3/4))**12)**24 assuming j is positive. j**(-120) Simplify (u*u**12/u)**(-16)*u/(u*u*u**9)*u*(u*u**(1/18))/u assuming u is positive. u**(-3617/18) Simplify ((t**3*t**(-6))/(t**(-5)/((t/t**(-6))/t*t)))/(((t/(t/(t*t*t/t**0*t*t)))/t)**(20/9)/(t/(t*t**(-1)/t))**(-38)) assuming t is positive. t**(-683/9) Simplify (z*z/(((z*z**(-3/14))/z)/z)*z**(-20)*(z/z**(3/4))/(z**(-38)/z))**(-49) assuming z is positive. z**(-4403/4)
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
)/(94017/37)*14). 44 ((-28080)/(-156))/1620*1/(-59)*-6 2/177 Calculate 75/35*8050/125*2/(-6). -46 What is the value of (29/87)/(((-2)/(72/297))/((-9)/(-14)))? -2/77 Calculate (86*2/(-10))/(162/(-45360)*56). 86 Evaluate ((-44)/11)/((-93)/(12/(-14)*378/(-108))). 4/31 What is -132*(-17)/408*-4? -22 (8/28)/(((-40)/60)/((-56)/12*13)) 26 ((-187)/(-2057))/(((-12)/(-16))/((-12)/8)) -2/11 What is the value of 996464/(-20832)*(-5)/(175/(-20))? -82/3 Calculate (-3)/664*-10*(-328)/(-615). 2/83 (33/(-11))/((-6422)/338) 3/19 Evaluate (16/128*-4)/((-2)/((-168)/49)). -6/7 Calculate (-540)/2970*(-6)/(2880/44). 1/60 Calculate (-4734)/(-28404)*804/2. 67 Calculate 75/75*(-96)/(-4). 24 Calculate ((-20)/(-6))/((-22*(-15)/(-5940))/(4/6)). -40 Calculate ((223200/1302)/60)/((-1)/(84/(-10))). 24 What is the value of ((-954)/4452)/((-35)/(-98))? -3/5 5/1125*(16560/48)/(-69) -1/45 What is the value of 144/(-16)*(-564)/108? 47 84/(-128)*600960/(-11268) 35 What is ((61/183)/(28/8)*6)/((-4)/(-1))? 1/7 What is 40488/7230*1/(-2)*30? -84 (-15)/360*-6*1/(6/14) 7/12 Calculate (177/(-354))/(-2*8/(-2720)). -85 Evaluate ((-203852)/(-13899))/(3/(-18)). -88 Evaluate (5/((-75)/(-9)))/(((-1)/8)/((-1365)/312)). 21 Calculate (8/30)/(-8*369/(-4920)). 4/9 Calculate ((21*16/840)/(-14))/(4/(-100)). 5/7 Calculate ((-120)/36*(-1)/(-15))/((1116/27)/31). -1/6 (2*-2*2/8)/(27/(-135)*-245) -1/49 Calculate ((-7)/(-84))/((-1152)/256*4/27). -1/8 870/348*28/35*28 56 30646/597*252/147 88 (-24)/(-84)*10304/(-184) -16 What is the value of ((-1600)/(-120))/(88/363)? 55 What is the value of ((-165)/6105)/((5/((-10)/8))/2)? 1/74 What is (1583/9498)/((-12)/2088)? -29 What is the value of (2283/(-13698))/((-1)/(-2))*210? -70 Calculate 3/(30/(-34))*1120/224. -17 Evaluate ((925/(-1350))/(-37))/((-40)/360*(-33)/(-1)). -1/198 What is the value of ((6/(-128))/(273/(-1092)))/(21/182)? 13/8 Evaluate (-16*(-42)/(-3528))/(30/35). -2/9 Evaluate (1*-3)/(15500/4650). -9/10 -9*(2*(-330)/44)/(6/10*5) 45 Evaluate 1*(64/32)/((-27)/18). -4/3 What is the value of 156/(-2589678)*-102*(-24)/16? -2/217 33/((-130)/19760*38) -132 (5/390*13)/((2581/8874)/(-89)) -51 What is the value of (-7)/(-2)*(-14)/(-7)*-68*(-1500)/6800? 105 What is (-10)/((-10)/36*16620/(-6925))? -15 What is the value of (26/(-91))/((-30)/336)*-120*27/(-1134)? 64/7 Calculate (-10)/(-4)*(-22050)/10500. -21/4 Evaluate 2*-60*75/(-11700)*-78. -60 Evaluate 216/180*4560/(-144). -38 Evaluate 41748/4473*18/196. 6/7 910/39*(-32)/(64/(-3)) 35 What is (42/(-75)*5/3)/(836/3762)? -21/5 Evaluate 3816/159*(-5)/((-20)/(-8)). -48 Evaluate ((-1)/3)/(51/((-25245)/385))*21/(-12). -3/4 What is the value of (28260/1884*2/(-35))/(90/(-28))? 4/15 What is ((-9)/(-15)*2/(-3))/(-7*884/(-2380))? -2/13 What is ((-40)/(-3))/(-4)*(-139347)/35730? 13 (-42)/168*(12/80)/(3/(-72)) 9/10 Evaluate -259*(-570)/4218*3. 105 What is 6/(-32)*-22*840/12705? 3/11 (1430/(-52))/(23/828*-18) 55 Calculate ((-6)/(-7))/(36/12)*(80/(-55))/16. -2/77 (-6)/18*36/84*21 -3 Calculate (-39)/((-75)/((-6750)/90)). -39 What is ((-171)/135)/(13034/(-4116))? 2/5 What is 2686/17*((-15)/25*5)/6? -79 What is -6*34/(-51)*1/(-8)? -1/2 ((-8)/4)/2*(10788/(-1426))/(-29) -6/23 Calculate ((-2037)/(-1358))/((87/(-8))/1). -4/29 Evaluate 9/(-90)*((-12)/9)/(9/432). 32/5 What is ((-180)/144)/((-50)/(-32))? -4/5 (-14)/(-105)*-42*(-35)/2940 1/15 What is 6*4/42*(4732/(-1040))/(-13)? 1/5 What is the value of (2565/(-585))/(99/(-429))? 19 Calculate ((-8074)/20185)/((1/(-60))/1). 24 Evaluate ((-369)/(-15))/(-41)*480/9. -32 5/30*(-10)/(-5)*(-35625)/125 -95 What is the value of (176/220)/(-1*((-12)/(-30))/(-2))? 4 What is the value of (2270/5448)/(5*12/80)? 5/9 (840/204)/(16/136) 35 Evaluate ((7/(-14))/((-105)/28))/((-37)/740). -8/3 What is the value of ((-6)/(-5))/(15231/(-1421560))? -112 (350/7950*53)/(1/(-45)) -105 (-15)/(2520/(-32))*(-12)/(2592/168) -4/27 Calculate 24/(-28)*1106/(-13035)*33. 12/5 ((-3)/7)/(2354/(-749))*-4 -6/11 What is the value of (-6)/39*80379/(-4122)? 3 What is the value of (2695/1617)/(3/(-1)*-5)? 1/9 Evaluate ((532/19)/280)/(-1*4/(-4)). 1/10 (1*(-165)/88*6)/(42/224) -60 Calculate ((-120)/36*3/(-21))/(120/(-210)). -5/6 What is the value of (-3*2/12)/((-3045)/(-315))? -3/58 What is (19028/(-355))/((-192)/(-240))? -67 Evaluate (9/(-12))/(38/(59584/42)). -28 What is the value of (-127)/134112*-936*(-32)/6? -52/11 ((9834/(-66))/(-1490))/(9*1/(-5)) -1/18 What is the value of ((-99134)/(-291))/73*(50/(-4))/(-5)? 35/3 Calculate -11*1*(-1*(-6)/(-1))/((-84)/14). -11 Calculate 12/(-480)*-4*6*20/(-24). -1/2 78/(-819)*(-238)/(-6)*(-156)/104 17/3 What is (-4)/234*-12*((-12)/48)/((-4)/4)? 2/39 Evaluate 210/(-56)*((-3)/(-27)*-3)/(14/168). 15 ((55/132)/(80/32))/((-6)/2) -1/18 Evaluate 144/80*-40*1818/(-1296). 101 What is ((-3)/15)/((234/120)/13*(-328)/10086)? 41 1/(((-17)/544)/(35/(-56))) 20 What is the value of (187*46/1518)/(6/36*-2)? -17 7/(-21)*((-248)/2)/(-31)*(-12)/(-46) -8/23 Evaluate 1120/35*(495/(-297))/((-2)/(-3)). -80 What is 6/(-756)*9*3*(-96)/(-18)? -8/7 What is the value of (-2*(-21)/(-35))/(3/25)? -10 Evaluate ((-2)/6*93)/1*(-95)/95. 31 ((-12)/1806)/(290/2030) -2/43 6/((12*6/(-288))/((-3)/(-2))) -36 Calculate (246/18)/((-15334)/(-48246)). 43 Evaluate ((-1692180)/553)/255*(2/(-42))/(10/3). 6/35 Evaluate 3*(-656)/32*(-8)/12. 41 Evaluate (-178)/(30438/513)*(-70)/6. 35 What is (176/(-6776))/(75/275*-1)? 2/21 Calculate ((-1296)/648)/(1/(-32)). 64 What is ((-3)/(-12))/(12/(240/10))*(-100)/2? -25 (-90)/4*10243/(-256075) 9/10 Calculate ((-64)/(480/15))/170*5. -1/17 What is ((-131)/655)/((-51)/6)? 2/85 Evaluate ((-14)/114)/((-16485)/4710). 2/57 Evaluate (-1)/(363/220*(-40)/24). 4/11 What is (-5688)/(-2370)*(-20)/88? -6/11 Evaluate (((-6)/3420*3)/((-10)/120))/(9/(-6)). -4/95 What is the value of ((-48)/(-1740))/((166/(-581))/((-5)/(-7)))? -2/29 Calculate ((-752)/47)/((-112)/(-483)). -69 Calculate ((6*-1)/(3/(-6)*15))/((-410)/7175). -14 What is ((149625/(-70))/225)/(2/12)? -57 -10*8/2240*17/((-136)/140) 5/8 What is ((-1072)/(-670))/(20/1025)? 82 Calculate (-88)/858*39/(-138). 2/69 What is the value of -67*(-138)/(-18492)*(-4)/26? 1/13 What is ((-4)/(-20))/(57*(-56)/5880)? -7/19 Calculate ((-10)/(-28))/(((-7)/(-3))/((29036/68)/(-61))). -15/14 (9*(-2)/162)/((-34)/4) 2/153 Calculate (28/(8316/(-33)))/(-1). 1/9 What is (-1*54/(-21))/(37/13209*34)? 27 4/(6264/42)*6*(-119)/(-833) 2/87 (528/44)/(-4)*(52/(-168))/13 1/14 What is the value of (2*(-2)/20)/(32/40800*-15)*1? 17 What is (126/(-9))/(12/24)? -28 Evaluate ((-4)/98)/(-17*4*4/136). 1/49 Evaluate -3*29/(1827/84)*15/(-5). 12 Calculate ((-2)/(-5))/((-4)/(-72)*(-834)/695). -6 What is the value of ((-4)/(-6))/(((-2)/583)/((-67)/(-737)))? -53/3 ((-19)/((-665)/(-30)))/(4/(4368/78)) -12 (-1)/18*41238/((-2726)/94) 79 What is (-68300)/(-19124)*28/(-4)? -25 What is (316/5)/((-120)/210*140/(-100))? 79 What is the value of (((7296/(-72))/(-76))/((-14)/12))/((-12)/14)? 4/3 0/(((-14384)/203)/31*63/18) 0 What is -6*(-189*86/(-13932))/(2/((-236)/(-14)))? -59 What is the value of (26*(-57)/(-494))/(7/12)? 36/7 Evaluate (-28)/(-8)*(-4328)/(-674086). 2/89 Calculate ((-10)/28)/(25165/(-6059732)). 86 (-4)/18*(-22083)/73610 1/15 What is (188/(-20)*(-4050)/(-1080))/((-6)/(-16))? -94 What is the value of (-91)/(-1274)*2058/2842? 3/58 Calculate ((123552/(-990))/(-624))/(2/8*(-12)/15). -1 What is (((-6)/(-65))/(-2))/((-1561)/(-46830))? -18/13 Evaluate ((-8)/(-6))/(40656/(-16940)). -5/9 What is the value of (-2*(-1)/(-6))/((-7)/924)? 44 Calculate (-42)/(-245)*(-4123)/76*(-10)/12. 31/4 Calculate 375/(-30)*(-2)/10*15*384/600. 24 Calculate (-13695)/1826*6/33. -15/11 Calculate ((-465)/124)/(-155*4*(-2)/(-32)). 3/31 80*(-176)/(-647680)*((-2)/3)/((-5)/15) 1/23 Calculate (28/112)/(9*14/16632). 33 Evaluate 8/600*-17*(-1525)/2074. 1/6 What is (((-2)/14)/(4/14))/((-85)/442)*15? 39 What is the value of (-180)/(-147)*5614/4010? 12/7 Calculate 4/50*442/(-442)*(-40)/12. 4/15 What is the value of (-16)/120*-90*5/10*11? 66 ((-6)/(-13))/((-33)/(10296/(-96))) 3/2 What is the value of (-560)/48*((-1968)/(-4018))/((-4)/(-14))? -20 Evaluate (12/84*-2)/(8/2968). -106 (-6561)/35721*(-7)/(-12) -3/28 Evaluate ((-8)/(-18))/(((-520)/16)/13*(-48)/(-990)). -11/3 What is the value of 75/350*14*-7*49/21? -49 (7/(-27))/(((-16)/(-6))/8)*(-42)
{ "pile_set_name": "DM Mathematics" }
d (-440*k**2 - 181*k**2 + 282*k**2)*(1 - 3*k + 0*k - 8*k). 3729*k**3 - 339*k**2 Expand (-29*b - 45*b + 16*b)*(-b + 4 - 4)*(4*b - 27*b - 4*b). -1566*b**3 Expand (0*c**4 + 2*c**4 - 6*c**4)*((-c + 2*c - 3*c)*(3 + 0 - 5) + (0*c + c + 0*c)*(-7 + 3 + 8)). -32*c**5 Expand (72*p**2 - 17*p + 17*p)*(-87*p + 266*p + 174*p)*(1 + 3 - 2). 50832*p**3 Expand (-6*v**4 - 13*v**4 + 2*v**4)*(-1 + 3 - 3 - 3 - 2 + 4 + (-3 + 3 - 2)*(5 - 4 + 0) - 15 + 38 - 43). 408*v**4 Expand (t + 2*t - 5*t)*(-2*t**2 - 3 + 3 + 3*t - 3*t - t**2 + (4 - 3 - 4)*(0*t**2 - t**2 + 3*t**2) + 6187*t - 3098*t - 3089*t - 1384*t**2). 2786*t**3 Expand (4 - 2*r**2 - 4 + (-2*r + 5*r + 0*r)*(0*r - r + 0*r) - r + r + 4*r**2 - 1166*r + 1054*r**2 + 1166*r)*(-1 + 0 + 3). 2106*r**2 Expand (-3 - 3 - 1)*(-1 - 2 + 5)*(23*r**2 + 12*r**2 + 19*r**2) - 2*r**2 - 4*r**2 + 2*r - 4*r. -762*r**2 - 2*r Expand (-r + 6*r + 4*r)*(0*r - 35*r - 2*r)*(-6*r + 9 - 9). 1998*r**3 Expand (-4*h**4 + 2*h**4 + 0*h**4)*(13 + 10 - 49 + 0 - 2 + 1 + (-2 + 0 + 0)*(-2 + 3 - 3) + 1 - 1 - 3)*(-3 - 1 + 3)*(0*h + 3*h - 2*h)*(-4 + 3 + 4). -156*h**5 Expand (-2*d + 2*d + d)*(-1131 + 52*d + 1131) + 0*d**2 + 4*d**2 - 10*d**2. 46*d**2 Expand (0 + 2 - 9)*(0 + 0 - x**2)*(6 - 23 - 2*x**3 + 0*x**3). -14*x**5 - 119*x**2 Expand (-3 + 2 + 3)*(0 + 0 - 3*i) - 83*i - 1160*i + 5614*i + 5198*i. 9563*i Expand -2*b**3 - 12*b**4 - 26*b**4 - 17*b**4 + (0*b + 0*b + 3*b)*(2*b**3 + 3*b - 3*b) + 11*b**4 + 8*b**4 - 7*b**4. -37*b**4 - 2*b**3 Expand (-261 - 75896*l - 273 + 793 - 259)*((1 + 0 - 2)*(-2*l + 6*l - 2*l) - 2*l - 4 + 4 - l + 0 + 0). 379480*l**2 Expand -a**2 - 3*a**2 + 3*a**2 + (2*a - a - 2*a)*(-2*a + 2*a + a) + (0 - 5 + 2)*(667*a**2 - 241*a**2 + 1641*a**2). -6203*a**2 Expand (z**2 - 2*z**2 - z**2)*(-4*z + 3*z + 3*z)*(3*z**2 - 4*z**2 + 0*z**2) + 482079*z**5 - 2*z + 2*z - 473874*z**5. 8209*z**5 Expand (-2*l - l - l)*(-302*l - 37 + 12 + 16 + 7). 1208*l**2 + 8*l Expand (11*v**3 - 146*v**3 - 74*v**3)*(-2*v - 2*v + 4*v - 74*v**2 - 92*v**2). 34694*v**5 Expand (-4 + 2 - 6)*(-39 - 38 + 10*t + 73). -80*t + 32 Expand (0*r**2 - 5*r**2 - 10*r**2)*(8*r + 4*r**2 + 19 - 38 + 19). -60*r**4 - 120*r**3 Expand (-147 + 289 - 19*i - 144)*(13 - 27 + 13 - 129*i). 2451*i**2 + 277*i + 2 Expand (-38 - 15 + 7)*(-30*w**3 + 67*w**3 + 159*w**3 + 42*w**3). -10948*w**3 Expand (4*w**2 - 3*w**2 + 2*w**2)*(-1 + 1 + 2*w) + 4*w + 8*w**2 - 30*w**2 + 13*w**3 + 21*w**2 - 1. 19*w**3 - w**2 + 4*w - 1 Expand (2 - 1 + 0 + (12 + 50 + 67)*(-2 + 2 - 6))*(-2*k**4 - 2*k**3 + 2*k**3). 1546*k**4 Expand -2*k**3 + 3*k**3 - 12*k**3 + (-5*k**2 + 2*k**2 + 2*k**2)*(-5*k + 2*k - k) + (-3*k - 3*k + 7*k)*(11*k**2 + 26*k**2 + 10*k**2). 40*k**3 Expand (-3 + 2*w**2 + 3)*((-103*w - 3*w + 23*w)*(w - 3 + 3) - 3*w**2 + w**2 + 0*w**2 + (-6 + 3*w + 6)*(-2*w + 0 + 0)). -182*w**4 Expand (-2*g**2 + g - g)*(-2*g**2 + 2*g**2 + g**2)*(-162 + 122010115*g - 2502 - 122010119*g). 8*g**5 + 5328*g**4 Expand (-2*q - 2*q + 2*q)*(-2 - 1 + 1) + 143 + 140*q + 1204 - 235*q + 86*q. -5*q + 1347 Expand -2*v + 0*v + 3*v + (-1 - 2*v + 1)*(1 - 4 + 4) + 56 - 18*v - 56 + (4 - 1 - 2)*(4 - 2*v - 4) + v + 11*v + 28*v. 19*v Expand (862 + 129 + 103)*(-i**4 + 2*i**4 - 4*i**4) + (0 + 2 + 0)*(-i**2 + 3*i**4 + i**2). -3276*i**4 Expand -3*w**2 + 7*w**2 + 3*w**2 + (-2*w + 297 + 493 - 984)*(1 + 3 - 1 + w). 5*w**2 - 200*w - 582 Expand (4*h**3 - h**3 - 2*h**3)*(-788*h + 232*h - 643*h). -1199*h**4 Expand -15 - 2*d + 22 + d + ((1 + 4 - 6)*(3*d + 0*d + 0*d) - 4*d + 0*d + 7*d + d - 3*d + 3*d + (d + 0*d - 3*d)*(-5 + 2 + 1))*(-3 + 4 + 0). 4*d + 7 Expand 5*c**3 - 2*c**2 + 2*c**2 - c**3 + 2*c**3 + 15*c**3 + (3*c**2 - 5*c**2 - 23*c**2)*(3 - 3 + 2*c). -29*c**3 Expand 2*y**3 + 47*y + 3*y + y + (2*y - y**3 - 2*y)*(-1 + 2 + 5). -4*y**3 + 51*y Expand (3 - 4 - 1)*(m**2 + 4*m - 4*m)*(190 + 220 - 179)*(1 + 0 + 1). -924*m**2 Expand (-3*x**5 + 17*x**5 + 25*x**5)*(2 + 39 + 142 + 30). 8307*x**5 Expand -168 - 166 - 111*l**2 + 504 - 165 + (l + 3*l - 3*l)*(8*l - 13*l - 22*l). -138*l**2 + 5 Expand (6 - 4 - 4)*(-2*f - 6*f - 6*f + (-f + 0*f - f)*(1 + 2 - 5) + 11468 - 11468 + 64*f). -108*f Expand (-6*w + 7 - 7)*(-2*w**2 + 2*w**2 - 2*w**2)*(-7 + 11 + 11). 180*w**3 Expand 171 + 78*x - 171 - 3*x + 3*x - 2*x + (2 + 1 - 5)*(4*x - 3*x + 0*x) + 3*x + 1 - 1 + 2*x + 3*x - 8*x. 74*x Expand (c**2 - 5 + 5)*(26219*c**2 - 52439*c**2 + 26219*c**2 + 71). -c**4 + 71*c**2 Expand 0*t + 0*t - t**5 + (t - 5*t + 2*t)*(2*t**3 - 2*t**4 - 2*t**3) + 521*t**5 - 203*t**5 + 2485*t**5 + 1137*t**5. 3943*t**5 Expand (-23*w**3 - 243*w**2 + 243*w**2)*(19 - 3 - 2). -322*w**3 Expand 367*q**2 + 2860*q - 2860*q + (-q**2 - 2*q**2 + 4*q**2)*(-6 + 2 + 2) + (2*q - q + q)*(0 + 2*q + 0) + 1 - 1 + q**2 - q**2 - 2*q**2 + q**2. 368*q**2 Expand (-57 + 47 + 2529*z**2 + 10)*(z**2 - 2 + 2 - 2*z). 2529*z**4 - 5058*z**3 Expand ((0 + 0 + 2*o)*(1 + 0 - 3) + 0*o - 2*o - 2*o + 10*o - 28*o - 5*o + 0*o + 2*o - o)*(2*o**4 - 3*o**4 + 3*o**4). -60*o**5 Expand (4*t - 4*t - t)*(11801 - 766*t - 11801). 766*t**2 Expand (o + 0*o - 4*o)*(7*o - 27*o - 6*o)*(30 - 75 - 64 + 9). -7800*o**2 Expand (0 + 0 + s)*(0 + 3 + 3)*(0 + 0 + 2*s + s + 3*s + s + 3 - 2*s - 3 + (-3*s + s + 6*s)*(-2 + 2 - 4)). -66*s**2 Expand 3*z + 2*z**2 - 3*z + (-2 + 2 + 1)*(-3294*z + 3294*z + 121*z**2) + (-3*z + 0*z + 2*z)*(-z - z - z). 126*z**2 Expand -35*i**3 - 11*i**2 + 11*i**2 - 26*i + 3*i**3 + 26*i + (0 + 2*i**2 + 0)*(-2*i + 3*i + 0*i). -30*i**3 Expand (10 - 219*i + 117*i + 112*i)*(-376 - 70*i + 376). -700*i**2 - 700*i Expand (2 - 5 + 4)*(3*t + 4 - 6 + 3)*(120*t - 120*t - 17*t**3 + (t**2 + t**2 - 6*t**2)*(-t + 2*t + t)). -75*t**4 - 25*t**3 Expand (-1 + 1 - k**4 - 2*k**3 + 2*k**3 - k**4 + k**4 - k**4 - 3*k**4 + (-3*k + 3*k - 2*k**3)*(k - 3 + 3) - 3*k + k**4 + 3*k)*(5 - 10 - 15). 120*k**4 Expand -3*c**4 + 20*c**3 - 20*c**3 + (2*c - 5*c + 4*c)*(c**3 + c**3 + 0*c**3) + c**4 + c**4 + 0*c**4 - 50*c**3 - 340*c**3 - 40*c**4 + 38*c**4. -c**4 - 390*c**3 Expand ((l - 2*l + 0*l)*(-3*l**4 - 4 + 4) + 2*l**5 + l**4 - 4*l**4 + 0*l**5 + 2031*l**5 - 82560*l**4 + 82560*l**4)*(-2 + 5 - 4). -2036*l**5 + 3*l**4 Expand 100*c - 100*c + 3*c**3 + (-58*c**2 + 16*c**2 - 30*c**2)*(0*c - 3*c + 2*c) + (-c**3 + 0*c**3 + 2*c**3)*(1 - 2 + 3) - 2*c**3 - 2*c**3 + 5*c**3. 78*c**3 Expand (6*g**3 - 4*g**3 - 6*g**3)*(-19*g + 8*g + 8*g)*(-4 - 1 + 4)*(3 - 6 - 1). 48*g**4 Expand (-1 - 3 + 7)*(d - 3*d + 4*d)*(1386 - 440 + 321 + 1718 - 221). 16584*d Expand (2135*x**3 - 5054*x**3 - 4542*x**3 + 447*x**3 - 2652*x**3)*(-5*x**2 - 3*x**2 + x**2). 67662*x**5 Expand 9*n**5 + 138 - 138 + (0*n**3 + n**4 + 0*n**3)*(-2 - n + 2) + 0*n**5 + n**5 + n**5 + (3*n**2 - 4*n**2 + 3*n**2)*(-3 - 1 + 2)*(13 - 11 + 0 - 16*n**3). 74*n**5 - 8*n**2 Expand (-142*l + 85*l + 85*l)*(-40 - 69 - 16). -3500*l Expand ((2*u**4 - 2*u**4 + 2*u**4)*(-3 - 3 + 4) - u**4 + u - u)*(-3*u + 5*u - 4*u)*(-3 + 1 - 2 + (9 + 27 - 9)*(0 + 4 - 2)). 500*u**5 Expand (-1 + 2 + 1)*(13*c**2 + 157*c - 157*c) - 2*c**2 + 3*c**2 + c**2 + (3*c - 2*c + 2*c)*(3*c - 3*c + 2*c) - 4*c**2 + 0*c**2 + 2*c**2. 32*c**2 Expand (-7894 + 7894 - 1670*u)*(28 - 28 - 21*u). 35070*u**2 Expand (3*b - 6*b + b)*(1 - 1 + 19052*b**2 - 9828*b**2 + 31106*b**2 + 0). -80660*b**3 Expand -18*z**2 - 16*z**2 - 22*z**2 + (-6*z - 21*z + 0*z)*(4 - 4 + z). -83*z**2 Expand (-2*u - 4*u + 5*u)*(2 + 3 - 3) + 3*u + u - 3*u + u - 3*u + 0*u + u + u + 0*u + 0*u + 0*u - 3*u + 297*u + 305*u + 179*u. 777*u Expand (-1 - 2 + 4)*(-2 + 463*x**2 - 924*x**2 + 444*x**2 - 8*x + 4*x**3). 4*x**3 - 17*x**2 - 8*x - 2 Expand (-5*y + 7 - 7)*(-31*y**4 + 876*y**3 - 876*y**3 + y**2 + (-2*y**4 + y - y)*(4 - 1 - 4)). 145*y**5 - 5*y**3 Expand (3 - 2 + 0)*((3*a**2 - 2*a**2 - 3*a**2)*(2*a - 3*a + 3*a)*(0 + 1 - 13) + 3*a**3 + 5*a**3 - 5*a**3). 51*a**3 Expand (o + 3 - 3)*(-438 + 50*o**2 + 867 - 428). 50*o**3 + o Expand 3*n + n - 2*n + (2 - 4 + 1)*(-4 + 4 + n) + n - 10 + 10 - 9*n + 41*n + 19*n. 53*n Expand -1 - x**2 + 4*x - 3*x - 1 + (-683*x - 5275*x + 2914*x)*(2*x - 2*x + 2*x). -6089*x**2 + x - 2 Expand (260*a**2 - 114*a**2 + 406*a**2)*(0 + 2*a**2 + 0) - 31*a**3 - a**4 + 31*a**3. 1103*a**4 Expand (-5*h - 3*h - 2*h)*(-4 + 6 + 2 + (1 - 1 - 1)*(-3 - 1 + 3) + 3 - 1 - 3 + (0 - 5 + 0)*(1 - 2 - 1)). -140*h Expand (2 - 2 + 2)*(-20*z - 113*z + 26*z)*((-4*z**2 + 2*z**2 + 0*z**2)*(-5 + 2 + 2) + 2*z**2 - z**2 + 0*z**2 + 2 - 2 + 7*z**2). -2140*z**3 Expand (2*z**2 - 2*z**2
{ "pile_set_name": "DM Mathematics" }
25 AM? 246 What is 202 minutes after 2:59 PM? 6:21 PM What is 240 minutes after 10:13 AM? 2:13 PM How many minutes are there between 12:24 PM and 10:55 PM? 631 What is 680 minutes before 3:58 PM? 4:38 AM What is 120 minutes before 8:51 AM? 6:51 AM How many minutes are there between 3:40 PM and 12:32 AM? 532 What is 714 minutes before 8:21 PM? 8:27 AM How many minutes are there between 7:16 PM and 1:10 AM? 354 How many minutes are there between 11:51 AM and 6:02 PM? 371 How many minutes are there between 6:10 PM and 11:52 PM? 342 How many minutes are there between 12:20 PM and 8:12 PM? 472 How many minutes are there between 9:30 PM and 6:54 AM? 564 What is 463 minutes after 12:47 AM? 8:30 AM How many minutes are there between 10:28 PM and 6:49 AM? 501 What is 144 minutes before 12:29 PM? 10:05 AM How many minutes are there between 4:35 AM and 7:22 AM? 167 How many minutes are there between 6:32 AM and 10:27 AM? 235 What is 472 minutes before 3:47 AM? 7:55 PM What is 661 minutes before 2:08 AM? 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132 What is 175 minutes before 4:25 AM? 1:30 AM How many minutes are there between 12:40 AM and 6:34 AM? 354 How many minutes are there between 9:32 PM and 8:11 AM? 639 How many minutes are there between 4:27 PM and 10:20 PM? 353 What is 709 minutes after 3:05 PM? 2:54 AM What is 141 minutes before 11:01 AM? 8:40 AM What is 48 minutes before 8:16 PM? 7:28 PM How many minutes are there between 1:57 PM and 6:27 PM? 270 How many minutes are there between 1:00 AM and 8:01 AM? 421 How many minutes are there between 12:49 PM and 11:30 PM? 641 How many minutes are there between 9:26 AM and 7:02 PM? 576 How many minutes are there between 6:54 AM and 4:10 PM? 556 What is 504 minutes after 3:31 AM? 11:55 AM How many minutes are there between 6:27 AM and 10:31 AM? 244 How many minutes are there between 12:23 AM and 7:11 AM? 408 How many minutes are there between 1:57 AM and 6:27 AM? 270 How many minutes are there between 1:44 AM and 1:58 AM? 14 What is 184 minutes after 11:22 PM? 2:26 AM What is 414 minutes after 2:45 AM? 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{ "pile_set_name": "DM Mathematics" }
))**2. 1/50 Simplify (sqrt(1584) + sqrt(1584)*1 - sqrt(1584))**2 + sqrt(11)*-2*5. -10*sqrt(11) + 1584 Simplify -2 + ((-2 + sqrt(3))*3)**2. -36*sqrt(3) + 61 Simplify 5 + (sqrt(13) - (sqrt(1872)*-1 - sqrt(1872))). 5 + 25*sqrt(13) Simplify ((sqrt(80) - sqrt(80)*1)*3 + -3)**2. 9 Simplify (sqrt(700) + 5*sqrt(700)*2 - sqrt(700)) + sqrt(700)*2*-4. 20*sqrt(7) Simplify (sqrt(198)/(3*sqrt(6)) + sqrt(33) - sqrt(33) - sqrt(33))/(sqrt(11) - (sqrt(275) - sqrt(275)*-2)). sqrt(3)/21 Simplify 1*sqrt(1728). 24*sqrt(3) Simplify -3 + 6*(-2*sqrt(17) + sqrt(17))**2. 99 Simplify ((sqrt(99) + 3*sqrt(99))*-1)/(sqrt(144)*6). -sqrt(11)/6 Simplify -3*(sqrt(931) - (-1*(sqrt(931) + -2)**2 + sqrt(931))). -2805 + 84*sqrt(19) Simplify 6*(sqrt(2695) - (sqrt(2695) + sqrt(2695)*-1))/sqrt(11). 42*sqrt(5) Simplify 3 + sqrt(720) + -5. -2 + 12*sqrt(5) Simplify (sqrt(475) + 0 - sqrt(19) - sqrt(19))*-2*4 + 0. -24*sqrt(19) Simplify (2*(sqrt(95)/sqrt(5) + sqrt(19))*-1)**2. 304 Simplify 3 + (sqrt(272)*2 - sqrt(17)). 3 + 7*sqrt(17) Simplify 1 + ((sqrt(560)*2 + sqrt(560) - sqrt(560))/sqrt(10) - sqrt(56))/(-1*(2*sqrt(8) + sqrt(8))). -sqrt(7)/3 + 1 Simplify -2*(sqrt(95)/sqrt(5))**2 - (sqrt(76)/sqrt(2))/sqrt(2). -38 - sqrt(19) Simplify 3*(sqrt(14)/sqrt(2))**2 - (sqrt(14)/sqrt(2) + 2). -sqrt(7) + 19 Simplify (sqrt(288)*3)**2 - sqrt(8)/(sqrt(4)*1). -sqrt(2) + 2592 Simplify ((sqrt(76)/sqrt(4)*1 + (sqrt(19) - (sqrt(684) + -3)))*-1)**2. -24*sqrt(19) + 313 Simplify (sqrt(6)/sqrt(3) + -4)**2 + ((sqrt(2) - 1*sqrt(2)) + -1)**2. -8*sqrt(2) + 19 Simplify (sqrt(24)/(sqrt(56)/sqrt(7)))**2 - (sqrt(300)*2)**2. -1197 Simplify (2*(sqrt(72) + -4 + -2))**2. -288*sqrt(2) + 432 Simplify (-5*sqrt(200)*-1)**2 - (2 + 2*sqrt(200) + sqrt(200)). -30*sqrt(2) + 4998 Simplify ((sqrt(195)/sqrt(5) + sqrt(39))/sqrt(3) + sqrt(13))*-2. -6*sqrt(13) Simplify (sqrt(2) - ((sqrt(2) - (-4 + sqrt(2) + -1 + sqrt(2))**2) + sqrt(2))) + sqrt(18)*-5 + 1. -36*sqrt(2) + 34 Simplify ((sqrt(80) - sqrt(5)) + 3 + -3)**2. 45 Simplify 3 + (sqrt(143)*-2*-6)/((sqrt(22)*-2 - sqrt(22))/sqrt(2)). -4*sqrt(13) + 3 Simplify ((1*sqrt(102))/sqrt(6))**2 + -2. 15 Simplify -5 + (sqrt(300) + sqrt(300)*-4)**2. 2695 Simplify (-3*(sqrt(243)*2 + sqrt(243) - sqrt(243)))**2. 8748 Simplify 4 + (sqrt(60)/sqrt(2) + sqrt(30))/sqrt(6). 4 + 2*sqrt(5) Simplify 3*(sqrt(1331) + -5 + sqrt(1331) - sqrt(1331))**2*-5. -20340 + 1650*sqrt(11) Simplify (-3*sqrt(13)*3*-6)**2. 37908 Simplify (sqrt(176) + sqrt(11))*-3 - sqrt(176)*1. -19*sqrt(11) Simplify ((sqrt(162)*-2 - sqrt(2)) + (sqrt(2) - (sqrt(18) + sqrt(2) + sqrt(2)))*6)**2. 3698 Simplify (3*(sqrt(170)*1 + sqrt(170)) + sqrt(170))/(sqrt(70)/sqrt(63)). 21*sqrt(17) Simplify (sqrt(210)/sqrt(216))/sqrt(7) + -2. -2 + sqrt(5)/6 Simplify -2 + (0 + sqrt(19))**2 - -4*((-1*sqrt(19) + sqrt(19))**2 - sqrt(19)). -4*sqrt(19) + 17 Simplify sqrt(28)/(2*sqrt(36)/sqrt(9)). sqrt(7)/2 Simplify sqrt(252)/sqrt(9)*1. 2*sqrt(7) Simplify sqrt(77)/((sqrt(28) + sqrt(448) - sqrt(28))/sqrt(4)). sqrt(11)/4 Simplify ((sqrt(500) + sqrt(500)*1)**2 + -4 + -4)*-5. -9960 Simplify (sqrt(18) - sqrt(90)/sqrt(5))*-3 - (2*sqrt(126))/sqrt(7). -6*sqrt(2) Simplify -4 + (sqrt(7) - (sqrt(28)*1 + sqrt(7)))**2. 24 Simplify (5 + sqrt(245)*-1 + -3 + 0)**2. -28*sqrt(5) + 249 Simplify sqrt(2) - sqrt(22)/(sqrt(44)/sqrt(4)) - (sqrt(2) + sqrt(8)/sqrt(4) + sqrt(2) + -3). -3*sqrt(2) + 3 Simplify 3*(sqrt(18)/(sqrt(24)/sqrt(4)) + sqrt(3) + (1*sqrt(36))/sqrt(12)). 9*sqrt(3) Simplify -2*sqrt(11) + 3 - (3 + sqrt(11) + 1). -3*sqrt(11) - 1 Simplify (sqrt(76)/(sqrt(44)/sqrt(11)*-2))**2. 19/4 Simplify -2*(sqrt(99)*-3 - sqrt(99) - sqrt(99))/sqrt(9). 10*sqrt(11) Simplify 1 + -4 + -2*sqrt(13) + 5. -2*sqrt(13) + 2 Simplify sqrt(25)/(sqrt(20)/sqrt(4)*-2). -sqrt(5)/2 Simplify sqrt(504)/(sqrt(24)/sqrt(75)). 15*sqrt(7) Simplify -2*(sqrt(33)*-2)/sqrt(3). 4*sqrt(11) Simplify ((-1*sqrt(378))/sqrt(6))/sqrt(9). -sqrt(7) Simplify (-2*sqrt(550))/((sqrt(120)/sqrt(5) + sqrt(24))/sqrt(12)). -5*sqrt(11) Simplify (5*(0 + sqrt(425) - sqrt(425))*-4*2)**2. 0 Simplify 5*sqrt(25)/sqrt(5)*2. 10*sqrt(5) Simplify (-5*(sqrt(684) + -1))**2 + -3. -300*sqrt(19) + 17122 Simplify -5 + sqrt(84)/sqrt(192). -5 + sqrt(7)/4 Simplify sqrt(4)/(sqrt(8)*-1). -sqrt(2)/2 Simplify (sqrt(108)/(sqrt(24)/sqrt(4)))/(sqrt(9) + sqrt(18)/(sqrt(2)*-2)) + -3. -3 + 2*sqrt(2) Simplify -6*(-2 + sqrt(1573) + (sqrt(1573) - 1*sqrt(1573))). -66*sqrt(13) + 12 Simplify 1 + (sqrt(17) - (sqrt(153) + -2*sqrt(153))**2). -152 + sqrt(17) Simplify 1*1*sqrt(19)*1. sqrt(19) Simplify 6*(sqrt(448) + 2). 12 + 48*sqrt(7) Simplify sqrt(42)/(sqrt(12)/sqrt(2)) + -2 + sqrt(63). -2 + 4*sqrt(7) Simplify (sqrt(3) + 0)*-3 - (sqrt(3) + 0 + sqrt(3) + -3) - ((sqrt(300) + (1*sqrt(300) - sqrt(300)))*-4)**2. -4797 - 5*sqrt(3) Simplify (-3 + -3 + 3*(-2 + sqrt(1539)))**2. -648*sqrt(19) + 13995 Simplify (-6*(sqrt(700) - (1 + sqrt(700))) - 6*1*(sqrt(7) + sqrt(7) + 0))**2. -144*sqrt(7) + 1044 Simplify (5*(sqrt(20)*-3 - (sqrt(5) - (sqrt(30)/sqrt(6) + 3) - sqrt(5))))**2. -750*sqrt(5) + 3350 Simplify 5 + 2 + (0 + sqrt(2448))*-1. -12*sqrt(17) + 7 Simplify (sqrt(1936) + (sqrt(1936) - -3*sqrt(1936)))/sqrt(8). 55*sqrt(2) Simplify -4*4*sqrt(72)*2. -192*sqrt(2) Simplify ((sqrt(175)/sqrt(5) - sqrt(35))/sqrt(5)*-6)**2. 0 Simplify (1*(sqrt(99) + -2))**2. -12*sqrt(11) + 103 Simplify -4 + (6*sqrt(2)*-2 - sqrt(162)*2). -30*sqrt(2) - 4 Simplify (sqrt(363) + -1 + sqrt(363) + 2)**2 + -1 + 1. 44*sqrt(3) + 1453 Simplify (-4*2*sqrt(11)*1*2)**2. 2816 Simplify (sqrt(30)/(sqrt(5) - sqrt(5)*2))/(sqrt(162) + sqrt(162) + sqrt(162) + sqrt(162)*1 + sqrt(162)). -sqrt(3)/45 Simplify (sqrt(143) - -4*sqrt(143)*-2 - sqrt(143))/(sqrt(1100) + sqrt(1100)*-3 - sqrt(1100)). 4*sqrt(13)/15 Simplify (-1*sqrt(208)*-3)**2. 1872 Simplify -3 + 0 + sqrt(245). -3 + 7*sqrt(5) Simplify (sqrt(66) - (sqrt(66)*-1 - sqrt(66)))/sqrt(6) + 1. 1 + 3*sqrt(11) Simplify ((sqrt(5) + (-1*sqrt(30))/sqrt(6))*1)**2. 0 Simplify -5 + sqrt(19) + 0 + 3. -2 + sqrt(19) Simplify 4 + sqrt(38)/sqrt(2) + 2. sqrt(19) + 6 Simplify (sqrt(17) + sqrt(68)*-6 + sqrt(68)/sqrt(4) + 1)**2. -20*sqrt(17) + 1701 Simplify (sqrt(4) - sqrt(44)/(sqrt(33)/sqrt(3)) - sqrt(4))/(-6*sqrt(14)/sqrt(7)). sqrt(2)/6 Simplify ((sqrt(2)*1)**2 + 4 - (2 + sqrt(50)))*1. -5*sqrt(2) + 4 Simplify 2*3*(sqrt(54)/sqrt(3))/sqrt(9). 6*sqrt(2) Simplify (1*(sqrt(228)*3 - sqrt(228)) + sqrt(228))/(sqrt(12) - (2*sqrt(48) - sqrt(12))). -3*sqrt(19)/2 Simplify (3*(sqrt(60) + sqrt(2940)))/sqrt(12)*5. 120*sqrt(5) Simplify -1*-2*(sqrt(3) + sqrt(3) + 0)*-4. -16*sqrt(3) Simplify (sqrt(76)*1*-3)/((sqrt(56)/sqrt(2))/sqrt(7)). -3*sqrt(19) Simplify (2*sqrt(27))**2 + -2. 106 Simplify (sqrt(2057) - sqrt(2057)*2)*-1. 11*sqrt(17) Simplify (sqrt(30) + (sqrt(90) + sqrt(90)*-2)/sqrt(3))/sqrt(6)*-1 + 0. 0 Simplify (-6*(sqrt(11) - sqrt(176)*-3 - (sqrt(1584) + 0)))**2. 396 Simplify (sqrt(28) - (sqrt(4032) + -2*sqrt(4032)))/sqrt(4). 13*sqrt(7) Simplify (4*sqrt(189)/sqrt(3) - -1*sqrt(1008))**2. 4032 Simplify -5*sqrt(7)*2 + -5. -10*sqrt(7) - 5 Simplify (-4*sqrt(567))**2*3. 27216 Simplify (sqrt(1331)*-1 + sqrt(11) - (-1*(sqrt(11) + -1)**2 + sqrt(11) - sqrt(11))) + -1. -12*sqrt(11) + 11 Simplify ((3*sqrt(1512))/(sqrt(6) + (sqrt(42)/sqrt(7)*3 - sqrt(6))))**2. 252 Simplify 2 + sqrt(117) + -3. -1 + 3*sqrt(13) Simplify (sqrt(121)/((sqrt(11)*1 + sqrt(11))*3 + sqrt(11) + sqrt(11) + sqrt(11))*-5)**2. 275/81 Simplify -6*(2*(3 + 0 + sqrt(128)))**2. -3288 - 1152*sqrt(2) Simplify (1 + (1 + sqrt(5) - sqrt(5)))**2 + (sqrt(90)/sqrt(6))/sqrt(3). sqrt(5) + 4 Simplify sqrt(14)/sqrt(2)*3 + 2. 2 + 3*sqrt(7) Simplify (sqrt(143) - 6*(sqrt(143)*-3 + sqrt(143)))/(1*sqrt(11)*-1). -13*sqrt(13) Simplify (-2 + sqrt(891))*2. -4 + 18*sqrt(11) Simplify sqrt(1539) - 2*(sqrt(1539) - ((sqrt(1539) - (1*sqrt(1539))**2) + sqrt(1539))). -3078 + 27*sqrt(19) Simplify 6*(sqrt(30) - sqrt(270))/sqrt(10). -12*sqrt(3) Simplify (-4*sqrt(162)*2 + 1)**2. -144*sqrt(2) + 10369 Simplify 4*(-1 + ((sqrt(20)/sqrt(4) - sqrt(5)) + sqrt(5))*5)**2. -40*sqrt(5) + 504 Simplify 2*sqrt(450)*-3. -90*sqrt(2) Simplify (sqrt(80)/sqrt(2))/(sqrt(15)/sqrt(48) + sqrt(5)). 8*sqrt(2)/5 Simplify 1*(sqrt(3) + -1 + 4). sqrt(3) + 3 Simplify sqrt(14)/(sqrt(288) - sqrt(32)). sqrt(7)/8 Simplify ((2*sqrt(39)/sqrt(3) + sqrt(13))*4)**2. 1872 Simplify 4*((sqrt(3) + 4 + 1*sqrt(3) + sqrt(3))**2 + -5). 152 + 96*
{ "pile_set_name": "DM Mathematics" }
-0.00002 Let q = -32851069.12 - -32851192.11999882. Let d = 123 - q. Round d to seven decimal places. 0.0000012 Let a = 1290531 + 249469. Round a to the nearest one hundred thousand. 1500000 Let q = -205.4 + 224. What is q rounded to the nearest integer? 19 Let q = -2.2 + 2.21. Let c = q - 0.098. What is c rounded to two decimal places? -0.09 Let m = -2.5 + -0.5. Let o = 9 + m. Let g = o + -5.99944. Round g to four decimal places. 0.0006 Let f = 2.4 + -2.667. Round f to two decimal places. -0.27 Suppose -3*x + 8*x = 875. Suppose -6*w + 4*r + x = -3*w, 5*r = w - 62. What is w rounded to the nearest 10? 60 Let y be 1*5 + 2 + -2. Suppose -210 = -2*i + y*i. Round i to the nearest 10. -70 Let y = 16.7 - -1.3. Let u = y + -17.86. Let g = -0.1400054 + u. Round g to 6 dps. -0.000005 Let z(a) = 470*a**3 - 3*a**2 - 8*a - 7. Let d be z(7). Round d to the nearest 10000. 160000 Let d = -5 - -7. Suppose 0 = 5*a + 15, 5*v + d + 2 = 2*a. Let c(n) = 751*n**3 + 3*n**2 + 2*n. Let z be c(v). Round z to the nearest ten thousand. -10000 Let b(s) = -10*s**2 + 4*s - 2*s + 13*s**2 - 574*s**3. Suppose -2*z = 3*z + 10. Let o be b(z). Round o to the nearest 1000. 5000 Let h = 0.075 - 0.06. What is h rounded to 2 decimal places? 0.02 Let q = 7.97 - 8. Let d = q - 0.36. Round d to 1 dp. -0.4 Let a(j) = j - 5. Let g be a(5). Suppose g*t - 5*t - 5 = 0. Let v be (t + 0 - 0) + 311. Round v to the nearest 100. 300 Let z = -28.1043 - -0.0043. Let r = z - -27.943. What is r rounded to 2 decimal places? -0.16 Let t be 3/(-1)*(8 - 551029). Suppose -3546937 = 5*b + t. Round b to the nearest one hundred thousand. -1000000 Let j = 1 + 4. Suppose 3*q - j*q = -5*a + 3950010, 3*a - 2370015 = 3*q. What is a rounded to the nearest 100000? 800000 Let c = -0.08 - -67.08. Let z = -67.15392288 + 0.15378788. Let u = c + z. What is u rounded to five dps? -0.00014 Let s = 24 - 24.67. Round s to one decimal place. -0.7 Let d(h) = -h**3 + h**2 - h - 5800. Let i be 26/8 - 2/8. Let t(z) = -z**3 + 2*z**2 + 4*z - 3. Let w be t(i). Let m be d(w). Round m to the nearest 1000. -6000 Let a = -23 + 23. Suppose 0 = -3*y - 3, 4*y - 74 = j - a*y. What is j rounded to the nearest ten? -80 Let f = 0.0801 + -0.08009178. What is f rounded to 6 decimal places? 0.000008 Let b = 2.3996 + -159.7096. Let z = b - -158. Round z to one dp. 0.7 Let y = 598 + -416. Let p = y - 182.00000141. Round p to 7 dps. -0.0000014 Let x(p) = -p + 1. Let g be x(4). Let h(s) = 111*s + 3. Let n be h(g). Round n to the nearest one hundred. -300 Let x = -0.11 - -0.05. Let q = 0.08 + x. What is q rounded to one decimal place? 0 Let d(c) = -10*c**3 + 6*c**2 + 13*c - 18. Let i be d(14). What is i rounded to the nearest 1000? -26000 Let k = 3749501.99969 + -3749473. Let s = -11 + 40. Let q = k - s. Round q to four dps. -0.0003 Let i = 0.409998 - 0.41. Round i to six decimal places. -0.000002 Let l = -1063756 + 1063702.9947. Let u = l + 53. What is u rounded to three dps? -0.005 Let z = -32.99835 + 33. Round z to 4 dps. 0.0017 Let g = 417 - 417.0000227. What is g rounded to 6 decimal places? -0.000023 Let r = -31 - -31.000055. Round r to 5 decimal places. 0.00006 Let r = 5 - 4.9936. What is r rounded to 3 dps? 0.006 Let w = -15925 - -15924.91003. Let p = w + 0.09. What is p rounded to 4 decimal places? 0 Let f = -0.07562 + 0.076. Round f to three dps. 0 Let j = 392 + -237. Round j to the nearest 10. 160 Suppose -2*m - 3995248 = 504752. Round m to the nearest 100000. -2300000 Let m = -26.86 - -26. Round m to one dp. -0.9 Let c = -68559125.99999928 + 68559123. Let m = 2 + 1. Let d = m + c. Round d to 7 dps. 0.0000007 Let m = -147 - -146.878. Let s = m + 0.1. What is s rounded to 2 decimal places? -0.02 Suppose 6*d - 2*d = 12. Suppose -3*o = -d*r + 510, -4*r - 510 = 3*o - r. Round o to the nearest one hundred. -200 Let r(c) = -c**3 - 3*c**2 - 2*c - 3. Let n be r(-2). Let x be 221988/(-20) + n/5. What is x rounded to the nearest one thousand? -11000 Let z = 1 + -8. Let s = 7.05 + z. Let h = -0.049996 + s. Round h to 5 decimal places. 0 Let u = 3486.35735 + 1809143.95265. Let v = -1812542.3100051 + u. Let a = v + -88. Round a to six decimal places. -0.000005 Let z = 8571084.200033 + -8571131.2. Let a = -92 - -139. Let l = a + z. Round l to 5 dps. 0.00003 Let u = -111.796 - -112.126578. Let m = -5.230308 + u. Let l = 4.9 + m. What is l rounded to 4 decimal places? 0.0003 Suppose -l = -0*l - 40. Let g be (l/12)/((-1)/3810000). Round g to the nearest 1000000. -13000000 Let x = 71 - 71.035. What is x rounded to two dps? -0.04 Let j = 131.39 + -132. Let w = 0.01 + j. What is w rounded to one dp? -0.6 Let l = 104.3 + -109. Round l to the nearest integer. -5 Let n = -102 + 102.00319. Round n to 3 dps. 0.003 Let p = -0.166 + -127.834. Let b = 127.99927 + p. What is b rounded to four decimal places? -0.0007 Let g be ((-2)/(-4))/((-2)/16). Let x be (314/4)/(2/g). What is x rounded to the nearest 10? -160 Let q = -2 - -4. Let r(j) = 1127*j + 1. Let b be r(q). Let d = 1075 - b. Round d to the nearest one hundred. -1200 Let w = -35 + 35.66. Let j = -0.74094 - -0.080907. Let d = w + j. What is d rounded to 5 decimal places? -0.00003 Let p(n) = 2171900*n + 2. Let q be p(5). Suppose -3*b + q = 1335525. Suppose -1585341 = -4*c + b. Round c to the nearest one hundred thousand. 1200000 Let j be (-1)/(-2) + 15/6. Let k be (-4)/(-6) + (-42302)/j. What is k rounded to the nearest one thousand? -14000 Let l(o) = -99999*o**2 - 2*o + 1. Let u be l(1). Round u to the nearest 100000. -100000 Let m(w) = 3800*w. Let y be m(2). What is y rounded to the nearest one thousand? 8000 Let x = 0.214 + -0.21487. What is x rounded to 4 decimal places? -0.0009 Suppose 8*k - 3456050 = 3*k. Let a = k + 48790. What is a rounded to the nearest one hundred thousand? 700000 Let n(o) be the first derivative of -400*o**3 + o**2/2 - o + 2. Let j be n(1). Round j to the nearest 1000. -1000 Let a = -4.971531 + 0.4715. Let x = a + 4.5. What is x rounded to five decimal places? -0.00003 Let a = -0.03 - -1.63. Let g = -33.3101 + 34.910188. Let j = g - a. Round j to five decimal places. 0.00009 Let a be (-1)/(-1) + (-5303 - -2). Round a to the nearest 1000. -5000 Let o = 12480.31 + -12425. Let p = o - 56. What is p rounded to one decimal place? -0.7 Let h = -0.1786594 - 68.8219206. Let x = h + 69. Round x to 4 decimal places. -0.0006 Let l be (-4)/(-8) + 78/4. Suppose 0 = -3*b - b + l. Suppose 15002 = m + 4*m + i, 0 = m + b*i - 3010. What is m rounded to the nearest 10000? 0 Let y(x) be the third derivative of 139286*x**4/3 - 8*x**3/3 + 5*x**2. Let k be y(7). What is k rounded to the nearest one million? 8000000 Let s = 100 + -100.000315. Round s to 5 decimal places. -0.00032 Let y = 10.9999988 + -11. What is y rounded to six dps? -0.000001 Suppose -3*s + 5 = -2*s. Suppose -s*i + 4176 = -7*i. Let r be i/3*(-2 - 12498). Round r to the nearest 1000000. 9000000 Let g = -0.3099984 + 0.31. What is g rounded to six dps? 0.000002 Suppose 2*d + 38443257 = 3*d. Let m = 15666358 + -38009615. Let q = m + d. Round q to the nearest 1000000. 16000000 Let z = -0.66 + 0.65999536. What is z rounded to seven dps? -0.0000046 Let v = -0.07 + 5.07. Let a = v - 4.99975. Round a to 4 dps. 0.0003 Let h = 37.8 + -46. Let c = -10 - h. Let k = c - -1. Round k to 0 dps. -1 Let m = 35 - 21. Let y = m + -13.99999959. Round y to seven dps. 0.0000004 Suppose -3*x - 7 = -1, 3*x = -5*s + 21999994. Suppose -i + s = 3*i. What is i rounded to the nearest 100000? 1100000 Let p(l) = 796*l - 10. Let z = -8 - -16. Let m be p(z). Let y = m + 20642. Round y to the nearest 10000. 30000 Let m be (4 + -2504)*(-2 + 58). Round m to the nearest 100000. -100000 Let z = 0.17 + 46.83. Let p = 0.99964 + -48.03064. Let w = p + z. What is w rounded to 2 dps? -0.03 Let w = 0.74999992 + -0.75. What is w rounded to 6 decimal places? 0 Let s = -4634 - -4639.982. Let p = -6 + s. Round p to two dps. -0.02 Let f = 88 + -88.0057. Round f to three decimal places. -0.006 Let y(p) be the third derivative of p**6/120 - p**5/20 - p**4/6 - p**3/3 - 2*p**2. Let u be y(4). Let w be ((-160)/6)/u*-6225. Round w to the nearest 10000. -80000 Let h(u) = -3301*u**3 - 10*u**2. Let n be h(-10). What is n rounded to the nearest one million? 3000000 Let t(x) = -x - 4. Let l be t
{ "pile_set_name": "DM Mathematics" }
positive. q**(216/1105) Simplify (((k*(k/((k*k/k**(1/17))/k))/k*k**41/k)**(1/77))**(-26))**(4/5) assuming k is positive. k**(-70824/6545) Simplify (u**14*u**26)/(u/u**(-5/3)*u**(1/4)/u) assuming u is positive. u**(457/12) Simplify (p/(p*p/(p/(p/(p*p**(9/8))))))**(-50)*p**9/((p**35/p)/p) assuming p is positive. p**(-321/4) Simplify (o**(-3/28)*o)**(1/10)*o**(-1)/(o*(o*o**(2/81))/o) assuming o is positive. o**(-8779/4536) Simplify (p**1*p/p**(-9))**(-38)/((((p*(p/((p/p**(-9))/p))/p*p)/p)/p)/(p**5/p))**(2/47) assuming p is positive. p**(-19620/47) Simplify (f**(-7)/f)**(-43)/(f**(1/25)*f*f)**(-35) assuming f is positive. f**(2077/5) Simplify ((b/b**(1/5))**(2/35)/(b**(1/9)/(b/b**24)))**(-9) assuming b is positive. b**(36328/175) Simplify ((l*l*l**(-6)*l**(-11))**(-4/13))**(-43) assuming l is positive. l**(-2580/13) Simplify ((g**(2/7)*((g**(-3)*g)/g)/g)/(g**6*g*(g*g/g**(-6))/g*g))/((g**(2/21)/g)/(g**(2/3)*g)*(g**(1/2)*g)/g*g**(2/5)) assuming g is positive. g**(-1193/70) Simplify (f/((f*f*f*f**(-1/3))/f*f)*f**(2/3))**(-22)*((f*(f*f**(-7))/f)/(f/f**(4/3)))**(-1/44) assuming f is positive. f**(2921/132) Simplify (((p/(p*p/p**2))/p)/(p/(p/p**(2/17)*p)*p)*p*p**(-5/2)*p*p**(2/17))/((p/p**(-5))/(p**(-5)/p)*(p**(-1))**(-16)) assuming p is positive. p**(-57/2) Simplify ((a**(-3/2)/(a*a**17))**(-48))**(5/7) assuming a is positive. a**(4680/7) Simplify (x**0)**40/((x/x**(1/4)*x)/x*x**1)*((x*x**(1/2))/x)**(-11/5)/(x**1)**(-2) assuming x is positive. x**(-17/20) Simplify ((m/m**(-2/3)*m)**(1/2))**16*(((m/m**(-1/6))/m)/(m*(m/m**(1/6))/m))/(m**(-2/5))**(5/3) assuming m is positive. m**(64/3) Simplify k**(-1/3)*k*k*k**(4/3)*(k/(k/(k*k**(2/7)*k*k)))/(k*k**0)*((k/(k**(-4/7)/k*k*k)*k)/k)/k**(-2/15)*k**(2/3)*k/(k*k**(-1/3)) assuming k is positive. k**(734/105) Simplify (b*b/(b**39/b)*b)**(-2/65)*(b**(2/7)/b)/(b/(b/(b/(b/b**(-15)*b)))*b) assuming b is positive. b**(1398/91) Simplify (j**(-8)/j**27)/(j/j**(-11/4)*j**(3/16)/j) assuming j is positive. j**(-607/16) Simplify z*z**(1/3)*(z/(z/z**6))/z*(z**(2/17)*z)/(z**3/z)*((z*z/(z*z/((z*z/(z*z*z/(z/(z/(z/(z**(-3)/z))))))/z)))**(2/17))**32 assuming z is positive. z**(854/51) Simplify ((a**(2/3))**18)**(-18)*(a/(a*a*a**(2/3)))**(-23/2)/(a*a*a*a*a*a*a**(2/7)*a*a)**(-12) assuming a is positive. a**(-4091/42) Simplify ((((b*b**(-8)*b*b)/b)/b*b/b**(-2/29)*(b*b**(-8))/b**(2/21))**(7/6))**(4/5) assuming b is positive. b**(-15866/1305) Simplify ((r**(-1))**(1/10)/(r**(6/5)*r/(r/(r/(r*r*r**(-10)*r)*r))))**24 assuming r is positive. r**(-1236/5) Simplify u**(-21)*u/(u/(u**(1/30)*u*u*u*u)*u)*(u**(-17/2)*u*u)/u**(-4/15) assuming u is positive. u**(-121/5) Simplify ((p*p**(-3/5)/p*p*p**3)/(p**(-10/3)/p)**(-3/2))**(-8) assuming p is positive. p**(124/5) Simplify ((a/a**(-7))/a)/(a*a**(4/7)/a)*a/(a*(((a**(6/7)/a)/a*a*a*a)/a)/a*a)*a*a/a**(-4)*a**(-1/2)*a*a**(-3/7)*(a**0)**20 assuming a is positive. a**(163/14) Simplify ((z**(-3/4)/z)**(4/7)*(z*z**(-20))/(z*z**(1/2)))**(4/15) assuming z is positive. z**(-86/15) Simplify ((k**4/k)/k**(-1/3)*(k*k**3)/(k**(-1)/k))/(k/k**(3/2)*k**(-1/3))**(-4/7) assuming k is positive. k**(62/7) Simplify ((k**(-1)*k/(k*k/(k**(7/9)*k)))/(k**(-5/3))**12)**(-17) assuming k is positive. k**(-3026/9) Simplify (((p/(p**(-1)*p)*p*p)/p)**(-10/7))**(7/3)/(((p**(-6/7)*p)/(p*p**(-1/3)*p*p))/((p*p**(-1/7)*p*p)/p**(-2/5))) assuming p is positive. p**(-31/35) Simplify ((((q/q**(-5))**(-36))**(-14))**(-24))**(3/11) assuming q is positive. q**(-217728/11) Simplify ((u/(u/(u**(-1)/u)))/(u/(u/u**(-4))))/(u**(-2/9))**(3/41)*u**(4/3)/(u/(u*(u/(u*u**4*u)*u)/u)*u)*u**(1/4)*u*u**(-7) assuming u is positive. u**(-4133/492) Simplify l**(-1/7)*l*l**1*l*l**2*l**2*l*(l**(5/2)/(l*l**(4/5)))**20 assuming l is positive. l**(153/7) Simplify (l**(-9)/(l**(-2/15)*l))**29*(((l**11*l)/l)/(((l/(l/(l*l**1)*l))/l)/l))**(19/5) assuming l is positive. l**(-3608/15) Simplify ((((r**(-2/3))**(-1/5))**(-3/14))**(-25))**(-2/157) assuming r is positive. r**(-10/1099) Simplify (m**(1/5)/(m*m/(m*m**(2/7)*m)))**(24/7)/((m**6/(m*m*m*m**5*m))/(m**(-3)*m/(m**(-1/7)*m))) assuming m is positive. m**(443/245) Simplify (c/(c**(6/5)*c*c))/c**(-3)*c**(-7)*c*c**(-1)/c*(c**(5/7)/(c/(c/((c/(c/c**(-8))*c*c)/c))))**7 assuming c is positive. c**(234/5) Simplify (m*m**(-1/17))**(-13)/(m**(-40))**(2/5) assuming m is positive. m**(64/17) Simplify (z/(z/(z*z*z**(-9)))*z/z**(-12)*(z/(z*z**(-2/13)*z))/z**(-1/5))**(1/3) assuming z is positive. z**(116/65) Simplify (m*m**2)**(-18/11)/((m**(2/5)*m)/m)**(-44)*(m/(m**(-2/11)*m)*m**(-2/27))**(-41) assuming m is positive. m**(12286/1485) Simplify (((h*h**(2/39))/h)/(h/(h*h*(h/(h**(-23)/h))/h*h*h*h)))/(h**41*h*(h**(-9)/h)/h) assuming h is positive. h**(-115/39) Simplify ((m/m**(-1))**9)**(-1/43)*(m/(((m*m**(-7)*m*m)/m)/m)*m**(-1))/(m*m*m**(-1/3)/m*m)**7 assuming m is positive. m**(-785/129) Simplify ((((v**7*v)/v*v/(v*v**(3/7)*v))**(14/5))**(2/9))**11 assuming v is positive. v**(572/15) Simplify (r**10*(r/r**(-2/13))/r)**(19/6)/((r/((r*r**(2/23))/r*r))/(r*r/(r*r*r*r/r**(-10)*r)))**(-2/63) assuming r is positive. r**(68156/2093) Simplify m*m**(-2/15)*m**(-2/11)*(m*m**(-2))/m**(-1/2)*m**(-2/13)/m*m*m**(-2/23)/m*(m*m/(m/(m*m*m**(2/3)))*m)**8 assuming m is positive. m**(1193163/32890) Simplify a/(a/(((a**(2/19)/a*a*a)/a)/a))*a**(2/31)*(a*a/((a/a**(-10/3))/a)*a*a)/((a/((a/(a*a/(a**(-7)*a)))/a))/a) assuming a is positive. a**(-14425/1767) Simplify ((d/(d*d**0))/d)/d**(-2/7)*(d*d/(d*d**0))**42*(d/d**(-1))**(-22)/((d**(-3/5)/d)/d*d**(-3/5)*d) assuming d is positive. d**(-18/35) Simplify ((n**(2/15)/n**(-3/4))/((n/(n*(n**(1/6)/n)/n))/n**6))/((n**(-1))**1*((n*n**2/n)/n)/n*n**(-4)) assuming n is positive. n**(201/20) Simplify (n**6*((n*n**(-1/3)*n)/n)/n*n**(5/2)*n*n/n**(-2/11))/((n/n**2)/n**(-10))**40 assuming n is positive. n**(-23077/66) Simplify (((q*q*q*q**0/q)/q**4)/((q*q**(-1))/q*q*q)**45)/((q*q**(-1/2)*q*q*(q*q/q**(2/7))/q)/((q**7/q)/(q**(3/4)*q))) assuming q is positive. q**(-1287/28) Simplify (g**(-2/57)/(((g*g/((g/g**(-5))/g))/g)/g))/(g**35/g)**(1/53) assuming g is positive. g**(13061/3021) Simplify ((c**(-2/15)/c)/(c/c**2*c*c))/(c*c/c**(-4)*c*c*c*c**(2/13)*c)*((c*c**(-3/5)/c)/c**0)/(c/c**(-1))**(-2/23) assuming c is positive. c**(-57019/4485) Simplify ((a/(a/(a/a**0)))**(-26)*(a/a**(-1/3))/(a/a**(3/4)))/(a/(a/a**(-1))*a/(a*a/a**1))**(2/93) assuming a is positive. a**(-3087/124) Simplify (((k**(-4)/k)/k*k)**(1/19)*k/k**(-13)*k**(-3))**(-2/91) assuming k is positive. k**(-408/1729) Simplify k**(-9)*k**(-9)*(k*k*k**(4/7))/(k*((((k/((k*k/(k*(k*k**(-3)*k)/k*k))/k))/k)/k)/k*k)/k) assuming k is positive. k**(-94/7) Simplify ((j**(-12)*(j/(((j*j*j**(1/4))/j*j)/j))/j)/((j**(2/7)*j)/(j**13*j)))**(-1) assuming j is positive. j**(15/28) Simplify (((d**(-14/9)*d*d)/(d*d/(d**(-24/11)/d)))/((d/d**8)/(d*d**(-18)/d)))**(-1/51) assuming d is positive. d**(1558/5049) Simplify ((u**(-2)/u)**(-2)/(u**(-2/41)/(u*u*(u/(u*u**8/u))/u)))**(3/14) assuming u is positive. u**(3/287) Simplify (((p**(-3)*(p/(p**3/p))/p*p)/(p**3/(p/p**(2/5))))**10)**(-28) assuming p is positive. p**1792 Simplify ((s/(s*s**0*s*s*s))**(-25)/(s*s*s**(-1/3)*s*s**(-7)))/((s/(s*s*s*s*s**0*s*s))**6*s**(-2/13)/(s**4*s)) assuming s is positive. s**(4465/39) Simplify (((w/(((w**(-2)/w)/w)/w)*w**(1/7)*w)/(w/w**0*w**(-3)))**(-5/7))**(4/29) assuming w is positive. w**(-1280/1421) Simplify (g**2/g*g*g**3*g)**(-2/83)/(g**2*g*g*g**4*g**4*g**(-1/4)) assuming g is positive. g**(-3949/332) Simplify ((((r**(2/3))**(-7/4))**(-41))**(7/4))**(-12) assuming r is positive. r**(-2009/2) Simplify b**4*b*b/(b*b**(-2))*b**0*b/(b**(-2/5)/b)*((b/(b**(-2/7)*b)*b)**3)**(45/4) assuming b is positive. b**(7391/140) Simplify (g*(g*g*g**(-2)*g)/g*g*g*g/g**(2/7)*(g*(g/(g/(g*g/g**(2/105))))/g)/(g**(-22/7)/g))**(-25) assuming g is positive. g**(-5165/21) Simplify ((g**1)**1/(g**(-1/8)*g**(-2/7)))/((g**1)**20*(g**(-1/3))**(3/19)) assuming g is positive. g**(-19723/1064) Simplify ((b/b**0*b)**(14/11)/(b/((b**(-4)/b)/b)*b*b**(-1)))**(6/19) assuming b is positive. b**(-294/209) Simplify (s*s**(1/2))**(8/15)/(((s*s**5)/s*s)/(s**(-6)*s))*(s**(3/11)/(s/(s*(s/s**9)/s*s)))**(-11) assuming s is positive. s**(374/5) Simplify ((u/(u*u/(u*u*u*u**0*u*u*u)*u))/u**(-6)*(u/u**(-1))/(u/(u**(3/2)*u*u)))/((u/((u/(u/((u**0/u)/u*u)))/u))*
{ "pile_set_name": "DM Mathematics" }
3229 prime? True Is 2501120197 composite? False Is 52400516351 a prime number? True Is 89122760123 composite? True Is 144028939 a composite number? False Is 92026759 a prime number? False Is 4885065433 prime? False Is 2640244049 a composite number? False Is 91968193477 a composite number? False Is 3820009351 a prime number? False Is 556803601513 a composite number? False Is 1648011061 prime? True Is 164067959 a composite number? True Is 6854069531 prime? True Is 15451446331 prime? False Is 20437695077 a prime number? False Is 1089023123 composite? False Is 104350572563 a prime number? False Is 435332747 prime? False Is 1285118929 composite? False Is 244512517 a composite number? True Is 1314579319 prime? True Is 8179655453 a prime number? False Is 1608784085 a composite number? True Is 1207491203 a composite number? False Is 208901727187 a composite number? False Is 725625487 a composite number? True Is 867654223 prime? False Is 12067496309 prime? False Is 600189169 composite? 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False Is 10467254957 prime? True Is 15470370863 a composite number? False Is 39836231 a composite number? True Is 308257363 composite? True Is 2307795149 prime? False Is 343492453 prime? True Is 10535608553 a prime number? True Is 4456562897 a prime number? True Is 1356484687 a prime number? False Is 10365316073 a composite number? True Is 674654207 prime? True Is 508390261 a prime number? True Is 13193169911 composite? False Is 1223802323 a composite number? False Is 4100212169 a composite number? True Is 819144847 a composite number? True Is 58952827 prime? False Is 24046319 a prime number? False Is 153645143 a prime number? True Is 3802841941 composite? False Is 68202269 a prime number? True Is 866465839 prime? False Is 204486263 prime? False Is 254364109 a prime number? False Is 8618083157 a composite number? False Is 60126188491 a composite number? True Is 60017772871 a composite number? True Is 4819595371 a prime number? False Is 13592946049 prime? False Is 1459145027 a composite number? True Is 140504912417 a composite number? False Is 42771845123 prime? False Is 585024007 composite? False Is 90025043501 prime? True Is 1541246711 composite? False Is 484262137 composite? False Is 1771951937 prime? False Is 801027547 a composite number? False Is 1943545843 a prime number? False Is 2517069829 prime? False Is 32836814609 a composite number? False Is 70589218987 composite? True Is 3127703113 prime? True Is 7374015851 prime? True Is 531943957 prime? False Is 49525026409 a prime number? True Is 3415650157 composite? False Is 2292105019 a composite number? True Is 329144297 a prime number? False Is 2449424741 prime? False Is 6367748333 a composite number? True Is 229424621 prime? True Is 824910937 prime? False Is 40736241157 prime? True Is 9575462011 prime? True Is 147143762329 a prime number? True Is 20475006221 prime? True Is 15351311821 a composite number? True Is 33988405918 a prime number? False Is 10155726893 a composite number? True Is 814004059 a composite number? True Is 14500410359 a prime number? True Is 31515667349 a composite number? True Is 9022669423 composite? True Is 48345258179 composite? False Is 1874761969 a composite number? True Is 1217874083 a composite number? False Is 14064563 a prime number? True Is 5404906559 a composite number? True Is 26097599563 prime? False Is 39414753461 prime? True Is 51961603 a prime number? True Is 30577286419 composite? True Is 266210129 a prime number? True Is 4445539993 a prime number? False Is 155269491563 a composite number? False Is 3796320679 prime? True Is 709747663 a prime number? False Is 66666508427 prime? True Is 1506291151 composite? False Is 31611282359 composite? True Is 139027079 prime? True Is 8886100983 prime? False Is 6051216049 a composite number? False Is 194973766937 a prime number? True Is 5327490079 a composite number? False Is 1051330759 a prime number? False Is 54591426401 a prime number? True Is 1016753443 prime? True Is 576064999 composite? False Is 1801552219 a composite number? True Is 4130932483 a prime number? False Is 2941693961 a composite number? True Is 6083427709 a prime number? False Is 19523502211 a composite number? False Is 782779307 prime? True Is 99107101 composite? True Is 1516522619 prime? False Is 13947771581 prime? False Is 125980444561
{ "pile_set_name": "DM Mathematics" }
d(j(k)). 38*k Let l(s) = 20*s. Suppose -2 = -3*r + 3*q + 4, 4*r - 8 = -5*q. Let g(i) = i**r - 73 + 73. Calculate l(g(c)). 20*c**2 Let u(k) = k. Let b be (-8)/12*3*4/(-8). Let w(f) = -9*f**2 - 23*f**2 + 37*f**2 - b. What is u(w(q))? 5*q**2 - 1 Let h(i) = -5952*i**2 + 2*i + 6. Let v(c) = -c**2. Calculate h(v(q)). -5952*q**4 - 2*q**2 + 6 Let y(z) = 15*z**2 + 2*z - 3. Let b(q) = 29*q**2 + 5*q - 7. Let s(r) = 3*b(r) - 7*y(r). Let g(t) = 46*t - 28*t - 19*t. Calculate s(g(o)). -18*o**2 - o Let b(p) = 352*p**2 + 16. Let c(r) = -3103*r. Give b(c(g)). 3389270368*g**2 + 16 Let y(b) = -9*b. Let p be (-16)/72 + 22/18 + 1. Let k(w) = -17*w**2 + w**2 - 4*w**p - 2*w**2. Calculate y(k(j)). 198*j**2 Let g be -5 + 0 - (29 + -38). Let j(d) be the second derivative of -1/3*d**g + 17*d + 0*d**2 + 0 + 0*d**3. Let w(y) = 8*y**2. What is w(j(b))? 128*b**4 Let w(t) = -5*t - 66160. Let p(v) = 67*v**2. Give w(p(z)). -335*z**2 - 66160 Let b(v) = 3*v - 2. Let a(l) = 8*l + 7. Let h(g) = -a(g) - 3*b(g). Let x(y) = -86*y + 347*y - 82*y - 88*y - 88*y. What is x(h(f))? -51*f - 3 Let c(m) be the first derivative of -231*m**2/2 - 10924. Let a(o) = -15*o. Give c(a(k)). 3465*k Let p(x) = -3*x. Let g be 0 - -12 - (60 - 48). Let r(d) be the second derivative of g*d**2 + 0 + 17*d - 1/3*d**3. Calculate r(p(y)). 6*y Let n(d) = 11*d**2. Let k(o) = 4*o. Let v(f) = 7*f. Suppose 12*l + 29*l - 246 = 0. Let a(b) = l*v(b) - 11*k(b). Calculate n(a(i)). 44*i**2 Suppose 1720*u = 1716*u + 28. Let i(v) be the third derivative of -u*v**2 + 0*v**3 - 3/20*v**5 + 0*v**4 + 0*v + 0. Let b(q) = -q**2. Determine i(b(y)). -9*y**4 Let b(p) = -983*p + 1995*p - 977*p. Let r = 2 - 0. Let u(o) = o**r + o**2 - 5*o**2 + o**2. What is b(u(g))? -70*g**2 Let m(w) = -6234904*w. Let q(i) = -i**2. Give q(m(l)). -38874027889216*l**2 Let x(j) = -6*j + 2. Let z = 81 - 75. Let v(c) = -36*c + 11. Let y(b) = z*v(b) - 34*x(b). Let w(p) = p**2. What is y(w(n))? -12*n**2 - 2 Let c(v) be the first derivative of -10*v**3/3 + 10*v**2 + 4378. Let l(z) = 11*z**2. What is c(l(b))? -1210*b**4 + 220*b**2 Let a(y) = 3969*y. Let w(d) = 3*d - 1636. What is w(a(s))? 11907*s - 1636 Let o(f) = 7162*f + 18. Let x(j) = -3*j**2 - 10*j. Calculate o(x(r)). -21486*r**2 - 71620*r + 18 Let u = -25 + 32. Suppose 11*h = u*h + 44. Let g(l) = 3*l**2 + 2*l. Let x(f) = 16*f**2 + 11*f. Let j(w) = h*g(w) - 2*x(w). Let v(s) = -40*s. Give j(v(d)). 1600*d**2 Let k(b) = 61*b + 66*b + 58*b - 238*b + 59*b. Let h(f) = -f - 20. Calculate h(k(x)). -6*x - 20 Let f(a) = -10*a. Let j(p) = 5383505*p. What is j(f(t))? -53835050*t Let r(t) = 478*t**2 + 495*t**2 - 976*t**2. Let p(b) = 354*b - 4. Determine r(p(q)). -375948*q**2 + 8496*q - 48 Let x(s) = -12*s**2 + 9*s + 9. Let c(l) = 59*l**2 - 42*l - 42. Let b(g) = 3*c(g) + 14*x(g). Let v(o) = 11*o**2 - 5*o. What is v(b(p))? 891*p**4 - 45*p**2 Let k(j) = 156019*j**2. Let s(d) = -3828*d. Determine k(s(n)). 2286237522096*n**2 Let a(d) = -5*d. Let b(z) = 1599303*z. Calculate a(b(m)). -7996515*m Let g(a) = -8701*a**2. Let u(d) = -258*d. Give u(g(y)). 2244858*y**2 Let m(v) be the third derivative of 59*v**5/60 - 123*v**2. Let y(j) be the third derivative of -j**5/30 + 174*j**2. Give m(y(k)). 236*k**4 Let b(z) = -1809*z + 907*z + 912*z - 4. Let j(q) = -8*q**2 - 2. Determine j(b(d)). -800*d**2 + 640*d - 130 Let c(n) = -26*n**2. Let r(q) = -100*q**2 - 356*q + 64. What is r(c(g))? -67600*g**4 + 9256*g**2 + 64 Let s(w) = 58*w. Let i(y) = -3*y - 362375. What is s(i(g))? -174*g - 21017750 Let a(f) = 9*f**2. Suppose -5*s = -18*s + 598. Let y(l) = -1. Let j(r) = -23*r + 46. Let k(m) = s*y(m) + j(m). Determine a(k(b)). 4761*b**2 Let a(k) = -8*k - 1. Let j(p) = 113372*p. Calculate j(a(y)). -906976*y - 113372 Let l(o) = -1270*o**2 + 98*o. Let k(p) = -24*p. Give k(l(j)). 30480*j**2 - 2352*j Let b(p) be the third derivative of 5*p**4/24 - 2*p**2. Suppose 2*l = 2*d + 6, -5*l + 27 = 3*d - 2*d. Let c(v) = -3*v**2 + 11*v**2 - 6*v**d. Calculate b(c(n)). 10*n**2 Let o(s) be the second derivative of 67*s**3/3 + 2*s. Let a(i) be the first derivative of 2*i**3/3 - 18008. Calculate o(a(w)). 268*w**2 Let n(h) = h + 2. Let d(r) = 2*r**2 + 4*r + 8. Let k(p) = d(p) - 4*n(p). Let b(l) = 0*l**2 + 15*l**2 - 17*l**2 + 10*l**2. What is b(k(x))? 32*x**4 Let d(r) = r**2 - 120739*r + 32. Let z(c) = 8*c. What is z(d(y))? 8*y**2 - 965912*y + 256 Let c(u) = 7*u**2. Let d(h) = 2*h. Let x(y) = 3*y. Let p be (-2)/20*2 - (-112)/35. Suppose -4 = -f + p*f. Let r(s) = f*d(s) + 3*x(s). Calculate r(c(z)). 35*z**2 Let x(s) be the first derivative of 2*s**3/3 - 19. Let u(b) be the second derivative of 0 - 9*b - 1/3*b**4 + 0*b**3 + 0*b**2. What is x(u(m))? 32*m**4 Let o(i) = 2*i - 520. Let a(s) = -56*s - 50*s - 51*s - 54*s + 208*s. Determine o(a(g)). -6*g - 520 Let w(o) = 2*o - 50. Let l(n) = -862*n**2 - 132. Determine w(l(t)). -1724*t**2 - 314 Let q(z) = 1070*z**2. Let u(c) be the third derivative of c**4/6 - 1230*c**2 - c. Give q(u(s)). 17120*s**2 Let g(z) = 5*z + 3. Let n = 254 - 257. Let y(l) = 48*l + 28. Let q(m) = n*y(m) + 28*g(m). Let u(w) = -11*w**2. What is q(u(x))? 44*x**2 Let c(a) = 3*a**2. Let u(j) = -278 + 68 + 70 + 77 - 14*j**2 + 78. Calculate u(c(v)). -126*v**4 + 15 Let q(l) = -19792861*l. Let g(r) = -14*r. Calculate q(g(d)). 277100054*d Let y(r) = 225438485*r. Let v(u) = 2*u**2. Give y(v(l)). 450876970*l**2 Let u(n) = -13*n - 140. Let t(c) = -11*c - 120. Let a(z) = 7*t(z) - 6*u(z). Let o(y) = 67*y**2 - 9*y. What is a(o(k))? 67*k**2 - 9*k Let k(j) = -21572*j**2. Let o(x) = -8*x**2 - 285. Determine o(k(r)). -3722809472*r**4 - 285 Let q(y) = -15494652*y**2 + y. Let j(v) = 4*v**2. Give q(j(s)). -247914432*s**4 + 4*s**2 Let j(b) = -5*b - 8*b + b. Let v(z) = 96 + 101 + 92 - 402 + 10*z**2 + 113. What is j(v(d))? -120*d**2 Let x(j) = 2*j**2. Suppose -29*l = -41*l - 27*l + 78. Let f(a) be the first derivative of -18 + 17/2*a**l - a. Give x(f(z)). 578*z**2 - 68*z + 2 Let n(p) = -2*p**2. Let a(m) = -2993*m**2 - 12*m + 72. Let i(s) = -20951*s**2 - 82*s + 492. Let b(c) = 41*a(c) - 6*i(c). Give n(b(d)). -17916098*d**4 Let o(i) = i. Let g(x) = 3*x + 10. Let w(r) be the second derivative of -r**3/6 - 3*r**2/2 + 2*r - 4. Let z(k) = 2*g(k) + 9*w(k). Give z(o(d)). -3*d - 7 Let v(n) = -104*n + 3. Let f(j) = 539. Let h(q) = q - 77. Let z(p) = 4*f(p) + 28*h(p). What is z(v(i))? -2912*i + 84 Let t = -4401 - -4406. Let q(i) be the third derivative of 2*i**2 + 0 + 0*i**3 - 1/30*i**t + 0*i**4 + 0*i. Let c(z) = 36*z. Give c(q(w)). -72*w**2 Let p(z) = -4 + 4 - 2*z. Let d(l) = l + 55. Let a be d(-11). Let j(c) = 70 - 70 + a*c. Give p(j(f)). -88*f Let s(k) = -4*k. Let y(z) = -z - 2. Let d(v) = 1329*v + 3544. Let j(o) = -d(o) - 1772*y(o). Determine j(s(w)). -1772*w Let l(x) = -2*x**2. Let r(j) be the third derivative of -379*j**5/20 - 5*j**2 + 86. Give l(r(v)). -2585538*v**4 Let v(a) = -4*a. Let z(j) = 7815326*j - 4. Calculate v(z(n)). -31261304*n + 16 Let q(i) = -i**3 + 31*i**2 + 35*i - 26. Let m be q(28). Let f(j) = -3306 + m - 3*j. Let v(l) = 40*l. What is f(v(y))? -120*y Let s(v) be the second derivative of -v**4/6 + 535*v. Let j(c) = 5 + 3 + 13*c**2 - 4. Calculate j(s(r)). 52*r**4 + 4 Let n(o) = 33*o**2 + 2773. Let q(z) = 12*z**2. Give n(q(b)). 4752*b**4 + 2773 Let m(c) = -c**2 + 9*c + 4. Let u be m(7). Let s(b) = 36 - 18 - u - 15*b. Let i(y) be the third derivative of -y**5/60 - 4*y**2. Determine i(s(o)). -225*o**2 Let y(r) = -249 + 524 - 2*r - 270. Let d(p) = 2*p**2 - 18. What is d(y(q))? 8*q**2 - 40*q + 32 Let u(a) = 6177*a + 6. Let n(s) = s**2 - 2*s. Calculate u(n(z)). 6177*z**2 - 12354*z + 6 Let i = -100 + 95. Let g be (8/(-10))/((-2)/5). Let o(z) = 2*z**2 - 2. Let q(h) = 4*h**2 - 5. Let u(n) = g*q(n) + i*o(n). Let m(v) = 25*v**2. What is m(u(r))? 100*r**4 Let c(y) = 3*y**2. Let k(i) = -106044676*i. Calculate k(c(n)). -318134028*n**2 Let g(y) = 4*y + 0*y - y. Let l(c) = -1202*c + 5. Let i(v) = -2839*v + 12. Let k(x) = -11*i(x) + 26*l(x). What is g(k(d))? -69*d - 6 Let p(k) = -3*k. Let m(a) = 409498777*a**2. Give m(p(g)). 3685488993*g**2 Let d(b) be the first derivative of 2*b**2 + 2418. Let j(i) = 410*i**2. Give d(j(v)). 1640*v**2 Let g(m) = -m. Let w(n) = -6*n**2 - n. Suppose -13*l + 12*l + 11 = 0. Suppose 3*a - l*a = 8. Let r(j) = a*g(j) + w(j). Let z(h) = 14*h. What is r(z(t))?
{ "pile_set_name": "DM Mathematics" }
- 6001? -208*h - 14 What is the derivative of n**3*u**3 - 18*n**3 + 1179*n*u**3 + 34 wrt u? 3*n**3*u**2 + 3537*n*u**2 What is the third derivative of 8*q*t**4*x - 155*q*t**4 + 28*q*t**2*x - q*x - 2*q - 2*t**4 - 2*t**2 wrt t? 192*q*t*x - 3720*q*t - 48*t Find the second derivative of -2*a*h*w**2 + a*h*w + 143*a*h - 4*a*w**2 + 6*h*w**2 wrt w. -4*a*h - 8*a + 12*h Differentiate -2*c*i**4 - 3*c*i**2 + 723*c - 37*i**4 wrt i. -8*c*i**3 - 6*c*i - 148*i**3 What is the third derivative of 2*m**4*s**2*w - 11*m**4 + 2*m**3*w + 3*m**2*s**2*w - 6*m**2 - 5*s**2*w wrt m? 48*m*s**2*w - 264*m + 12*w Find the third derivative of -145*f**4 - 45*f**2 - 6. -3480*f Find the third derivative of 7*f**4*h**2 - f**3*h**3 - 7*f**3*h - 369*f**2*h**3 + 2*f*h**3 wrt f. 168*f*h**2 - 6*h**3 - 42*h Find the third derivative of 2*a**3*i**3 - 310*a**3*i**2 - 124*a**2 + a*i**3 + 2*i**3 wrt a. 12*i**3 - 1860*i**2 What is the first derivative of 2*d*q*r - d*r**2 - 65*d*r - 4*q**2 + 645*q*r**3 + 5*r**3 wrt q? 2*d*r - 8*q + 645*r**3 Differentiate 264*i**3*n**3*s**3 + 9572*i**3*n**3 + 2*i**2*n**3 - n*s - 4*s wrt s. 792*i**3*n**3*s**2 - n - 4 Find the third derivative of 42*h**2*v**4 - 6*h**2*v**3 + 2*h**2 + 152*h*v**2 - v**4 wrt v. 1008*h**2*v - 36*h**2 - 24*v Find the second derivative of -12*l**3*r**4 + 28*l**3*r**3 - l**3*r + 398*l*r + 4 wrt r. -144*l**3*r**2 + 168*l**3*r Differentiate -c**2 + 479*c + 7731. -2*c + 479 Find the third derivative of -1920*c**4 + 1973*c**2. -46080*c Find the third derivative of j*x**3 + 3*j*x**2 + s*x**3 + s*x**2 - 53*x**3 wrt x. 6*j + 6*s - 318 Find the second derivative of 41*z**2 + 473*z wrt z. 82 What is the second derivative of 2713*s**2 + 1143*s - 1 wrt s? 5426 Find the second derivative of 2*c**2*k**2*y**2 - 4*c**2*k**2*y + 3*c**2*y + 240*c*k**2*y**2 + 12*c*k*y wrt y. 4*c**2*k**2 + 480*c*k**2 Find the second derivative of -916*x**5 + 2*x**3 - 2*x + 300. -18320*x**3 + 12*x What is the third derivative of -546*d**4 - d**3 - 9240*d**2 wrt d? -13104*d - 6 Find the third derivative of 5498*k**6 + 15073*k**2 wrt k. 659760*k**3 Find the third derivative of -h*l**4 + 34*h - 906*l**3 + 45*l**2 wrt l. -24*h*l - 5436 Differentiate -801*m**2*z**2 + 742*z**2 with respect to m. -1602*m*z**2 What is the third derivative of -3572*s**3 + 1182*s**2 wrt s? -21432 Find the second derivative of -16*o**5*z + 2*o**3 + 11*o**2*z - o*z + 50*o + 2*z - 2 wrt o. -320*o**3*z + 12*o + 22*z What is the derivative of -3*i*w**3*z + 32*i*w - 113*i*z - 2*w**3 wrt w? -9*i*w**2*z + 32*i - 6*w**2 Differentiate -d**3*l*r + d**3 + 17*d**2*l + 13*l*r + 2*l wrt r. -d**3*l + 13*l Find the third derivative of -j**4 + 10*j**3*r**3 + j**3*r**2 - 22*j**2*r**3 - 8*j*r wrt j. -24*j + 60*r**3 + 6*r**2 Find the second derivative of -12*u**5 - 3*u**2 - u + 7. -240*u**3 - 6 What is the third derivative of 584*q**2*w**3 + 1023*q**2*w**2 - 2*q**2*w wrt w? 3504*q**2 What is the second derivative of -3*i*v**2*y - 58*i*v + 6*i*y - 16*v**2*y wrt v? -6*i*y - 32*y Differentiate 9*b*f**2*u + b*f**2 - 5*f**2*u - 62*f**2 with respect to u. 9*b*f**2 - 5*f**2 Find the second derivative of 4523*v**2 - 14624*v. 9046 What is the first derivative of 2*j**3 - 78*j - 6? 6*j**2 - 78 Find the first derivative of d**2 + 2*d*f - 12*d + 4*f + 25 wrt d. 2*d + 2*f - 12 Differentiate -3255*a**2 - 1082 wrt a. -6510*a Find the second derivative of 580*n**2 + 634*n wrt n. 1160 What is the first derivative of -2*g**3*o + g**2*p + 112*g*o**2 - 1378*o**2*p wrt g? -6*g**2*o + 2*g*p + 112*o**2 What is the derivative of 7*g*h*v + 1165*g*v + 5*h + 2*v + 124 wrt g? 7*h*v + 1165*v Find the first derivative of 4*i**4 + 5*i*q**2 - 2*i*q + 92*q**2 wrt i. 16*i**3 + 5*q**2 - 2*q Find the second derivative of -210*w**4 + 4*w + 56. -2520*w**2 What is the second derivative of -213*q**4*y**3 + q**3*y**3 - 530*q*y**3 wrt q? -2556*q**2*y**3 + 6*q*y**3 Differentiate -9537*a + 8391 with respect to a. -9537 Find the third derivative of -2*w**4*x**2 + 168*w**4 - 2*w**3*x - 5*w**2*x**2 - 3*w**2*x + 7*w**2 wrt w. -48*w*x**2 + 4032*w - 12*x Find the third derivative of -211*s**3 + 726*s**2 wrt s. -1266 What is the second derivative of 3*a**5*y**3 - 19*a**3 + 9*a*y**2 + 17*y**3 wrt a? 60*a**3*y**3 - 114*a What is the second derivative of 2*a**3*w**2 - 3*a**3 - 2*w**3 - 31*w**2 + 31*w wrt w? 4*a**3 - 12*w - 62 Find the first derivative of 3*j**2 + 2*j + 256 wrt j. 6*j + 2 Find the third derivative of 9549*c*f**3 + 3108*c*f**2 wrt f. 57294*c Find the second derivative of -3*d**3*x - 18*d**3 + 9*d**2*x - 4*d**2 + 3*d*x - 7*d - 33*x - 2 wrt d. -18*d*x - 108*d + 18*x - 8 What is the first derivative of b**4 - 653*b**3 - 4906 wrt b? 4*b**3 - 1959*b**2 What is the third derivative of 2*p**5*s**2 - 148*p**4*s**2 - 129*p**2*s**2 + p*s**2 wrt p? 120*p**2*s**2 - 3552*p*s**2 Find the third derivative of 117*n*u**5 - 3*n*u**4 + 1114*n*u + u**2 wrt u. 7020*n*u**2 - 72*n*u What is the second derivative of -186*h**2*q**2 - 2*h*q**2 - 9*h + 4 wrt h? -372*q**2 Find the third derivative of 2350*c**3*m**2 + 735*c**2*m**2 + 2*m**2 wrt c. 14100*m**2 What is the third derivative of 3992*m**6 + 91*m**2 + 7*m? 479040*m**3 Find the third derivative of -21*t**5 + 2*t**3*u - 355*t**2*u + u wrt t. -1260*t**2 + 12*u Find the third derivative of -2425*a**3*f**2 + 11*a**2 - 138*a*f**2 - 2*a*f wrt a. -14550*f**2 What is the second derivative of -2915*j**2 - 4*j + 130 wrt j? -5830 Differentiate 2*j**3*o*u + j**3*u - 2*j**3 - 27*j*o*u + 82*j*o wrt u. 2*j**3*o + j**3 - 27*j*o What is the third derivative of -700*p**5 - 55*p**2 - 2*p + 10? -42000*p**2 What is the second derivative of -2*r**2*t**3*u - r**2*t**3 + r**2 + r*t**3 - 2*r*t**2 + 2*t**3 - 8*t*u wrt r? -4*t**3*u - 2*t**3 + 2 What is the derivative of -d*r - 146*d + 140*r wrt d? -r - 146 Differentiate 161*p**2*y - p + 2226*y with respect to p. 322*p*y - 1 What is the second derivative of 2*p**5 + 8*p**3 - 10*p**2 - 4707*p - 1? 40*p**3 + 48*p - 20 Find the third derivative of 2372*r**4 + 2*r**3 + 68*r**2 + 22 wrt r. 56928*r + 12 Find the second derivative of -73*k**4 - k - 9. -876*k**2 What is the first derivative of -3*b**2*h + 361*b**2 - 6*h wrt h? -3*b**2 - 6 What is the second derivative of -36*m*s**5 - 14*m*s**3 - 7*m + 68*s wrt s? -720*m*s**3 - 84*m*s What is the third derivative of -1416*g**3*m**2*t + 3*g**2*m*t + 2227*g**2*t - m**2*t wrt g? -8496*m**2*t What is the second derivative of -11073*z**3 - 11655*z? -66438*z What is the second derivative of -571*p**2 - 15*p - 3 wrt p? -1142 What is the first derivative of 427*x + 258? 427 Find the second derivative of -9*q**2*s**2*x - 35*q**2*s**2 - 4*q**2*s*x + 14*q**2*s - s**2 + s*x + 2*x wrt s. -18*q**2*x - 70*q**2 - 2 What is the second derivative of -214*o**3*u**2 + 7*o**3*u - 17*u wrt u? -428*o**3 What is the derivative of -26*p**2*t**2 + 13*p**2 + 103*p*t**2 - 237*p wrt t? -52*p**2*t + 206*p*t What is the first derivative of 1067*b**2*m - 20*b**2 + 17*b wrt m? 1067*b**2 Find the third derivative of 3202*w**4 + w**3 + 2*w**2 - w + 1056. 76848*w + 6 What is the derivative of 8*h**2 - 454*h + 22507 wrt h? 16*h - 454 What is the second derivative of -910*r**3 + 4*r**2 + 25534*r wrt r? -5460*r + 8 Find the third derivative of 168*d**5*h + 2*d**2*h - d*h + 13*d wrt d. 10080*d**2*h What is the second derivative of n**2*s**3 + 75*n**2*s - 6*s**3 wrt s? 6*n**2*s - 36*s Find the third derivative of -2*k**2*w**4 - 161*k**2*w**2 - k**2 + 151*k*w**4 - 2*w**4 wrt w. -48*k**2*w + 3624*k*w - 48*w What is the derivative of 22*g*w**3*y - 22*g*y**2 + 22*w**2*y**2 + 10*y wrt w? 66*g*w**2*y + 44*w*y**2 Find the second derivative of -39*v**2*x**5 - 2*v**2*x + 2*v**2 + 9*x**5 - 92*x wrt x. -780*v**2*x**3 + 180*x**3 What is the third derivative of 588*f**2*z**6 - 98*f**2*z**2 - 34*f**2 + 2*z**6 wrt z? 70560*f**2*z**3 + 240*z**3 Find the second derivative of 3*i**5 - 294*i**3 - 663*i wrt i. 60*i**3 - 1764*i What is the second derivative of 3*s**3*v**2 + 331*s**2*v**3 - 107*s*v**3 + 7*v**3 wrt s? 18*s*v**2 + 662*v**3 Find the second derivative of -2*d**2*q**2 - 114*d**2*q + 3968*d*q**2 + 4*d*q - 2*d - 2*q**2 - 1 wrt q. -4*d**2 + 7936*d - 4 What is the third derivative of -j**4*s**2 - 7*j**3*s**2 + 12*j**3 + 1414*j**2*s**2 - j**2*s - j**2 wrt j? -24*j*s**2 - 42*s**2 + 72 What is the third derivative
{ "pile_set_name": "DM Mathematics" }
44 Express (-1 - 4*r + 5*r - 1)*(6*r**2 - 16 + 16) in the form a*r**2 + b*r + w + z*r**3 and give a. -12 Rearrange (58 + 58 - 91)*(1 - 4*g + g + 2*g) to v*g + b and give v. -25 Express 4*z**3 + 10*z - 1 - 2*z**4 - 12*z + 4*z + 5*z**4 in the form c + o*z**3 + p*z**2 + k*z**4 + t*z and give k. 3 Express -g + 4*g + 60*g as x + s*g and give s. 63 Express -j**4 + 9*j**3 - 2*j**3 - j**2 + 2*j + 2 - 7*j**3 as m*j + w*j**2 + h*j**3 + a*j**4 + k and give k. 2 Express x + 23*x**2 + 12*x**2 - x in the form h + c*x**2 + t*x and give c. 35 Rearrange -5 + 0*u + 1 - u + 3*u + 0*u - 4*u + (-u - 2*u + 2*u)*(-1 + 4 - 1) to h + q*u and give q. -4 Express 2*v - 2*v + 4*v + (-2 + 1 - 1)*(1 - 2*v - 1) + 4*v - v - 4*v in the form h*v + z and give h. 7 Rearrange -67*y - y**2 - 31*y**3 + 67*y to the form v*y**2 + f*y**3 + n*y + b and give f. -31 Rearrange (-5*g + 2*g + g + (-2*g + 4*g + 0*g)*(-2 + 0 - 3) - 5*g + 3*g + g)*(1 + 5 + 3) to n*g + t and give n. -117 Express -46 - 45 - 5*s**3 + 2*s**3 + 98 in the form t*s**3 + a + h*s**2 + z*s and give a. 7 Express -2*n - 4*n + 0*n - 47*n as g*n + s and give s. 0 Express 3*b - 9*b**2 + 3*b**2 - 3*b as w*b + l + x*b**2 and give x. -6 Rearrange 3*a + a**2 - a**2 + 8*a**3 - 4*a to the form s + z*a**3 + x*a**2 + v*a and give s. 0 Express -4*v + 2*v**3 - 5 - 4 + 8 as a*v**3 + u*v + r*v**2 + d and give u. -4 Rearrange ((-t - 2*t + 4*t)*(4 - 1 + 0) + 3*t + 3 - 3 + 5*t - 3*t - 3*t + (-1 + 1 + 2*t)*(0 - 2 + 0))*(1 + 2 - 1) to the form y*t + w and give y. 2 Rearrange -3*t + 3*t - t - 6*t + 15*t + 2*t + (t - 3*t + t)*(-1 - 3 + 2) to r*t + p and give r. 12 Express 3*x + 3*x**2 - x**3 + 2*x**2 - 3 - 5*x**2 + x**4 as n*x + d*x**4 + s*x**3 + i*x**2 + p and give p. -3 Rearrange 11*y**3 + 9*y**3 + 2*y + y**2 - 13*y**3 to z*y**3 + a + v*y + c*y**2 and give v. 2 Express -g + 2 - 2 + (-10 + 23 + 42)*(-3 + 1 + 1)*(3 - 2*g - 3) as i*g + w and give w. 0 Express -10*m - 4*m + 7*m as x + n*m and give n. -7 Rearrange -3 - 3 + 2 - 19*g + 2 to the form r + n*g and give r. -2 Rearrange 3*h**4 - h**2 + 0*h**2 - 4*h**4 + (-h**2 - 2*h**4 + h**2)*(1 + 1 - 4) to w*h**3 + g*h**4 + s + a*h**2 + k*h and give g. 3 Express -3*l**2 - 9 + l**2 + 13 + 5*l**2 + 2*l**3 in the form w*l**3 + m*l + h + k*l**2 and give w. 2 Express (10 - 22 + 14 - 110*a)*(-4*a + a + 2*a) as c*a**2 + m + f*a and give c. 110 Rearrange -29*y + 7 - 7 to the form k + x*y and give x. -29 Express -8 + 0*t**2 + 0*t**2 + 1 + 2*t**2 as f*t**2 + o*t + c and give f. 2 Express -t**2 - 2*t**2 - 5*t**2 + (-2*t**2 + 0 + 0)*(0 + 2 - 7) as n + z*t**2 + f*t and give z. 2 Express 12*k - 984 - 35*k + 987 as u + j*k and give j. -23 Rearrange (0 - 1 - 2*y + 2)*(-27 - 23 - 99) to u + s*y and give u. -149 Express s - 8*s + 8*s + 2 - 2*s**4 - 2*s**2 + 0*s**2 as g*s**4 + c*s**2 + x*s**3 + z*s + t and give t. 2 Rearrange -5 + 10*f**4 + 0 + 3 + 2*f**2 - 4*f**4 to the form h*f**4 + k*f**2 + r + i*f**3 + q*f and give k. 2 Express 16 - 6 - 10 + 24*a as g*a + r and give r. 0 Express (3*b**2 - 5*b**2 - 5*b**2)*(5 - 4 + 1)*(2 + 0 - 4)*(-b + b + 2*b) in the form f*b**2 + n*b + u*b**3 + q and give u. 56 Rearrange -11*p - 144 + 144 to b*p + f and give f. 0 Rearrange 6*l + 14*l - 3*l + 4*l to the form p + g*l and give g. 21 Express -264 + 526 - 257 + 3*d in the form q*d + b and give b. 5 Rearrange (5*z - 3*z - 4*z)*(z + 0*z + z - 2*z**3) + 5*z**4 - 2*z**4 + 0*z**4 to s*z**2 + g*z + u*z**4 + n + w*z**3 and give s. -4 Express -6 + 6 + 4*z**2 + (-4*z + 5*z - 2*z)*(-3*z + 0*z + 4*z) + 5*z**2 - 5*z**2 - 6*z**2 in the form q*z + s + k*z**2 and give k. -3 Express (-2*j - j + 2*j)*(-2*j + j + 2*j) + (10*j + 0*j - j)*(-1 - j + 1) in the form z*j + o + q*j**2 and give q. -10 Express 31*n**2 - 75*n + 24*n**2 - 56*n**2 + 3*n**2 - n**2 - 4*n**2 + (4 - 2 - 1)*(-3 - n**2 + 3) - 3*n**2 + 3*n**2 + 2*n**2 as q + i*n + x*n**2 and give x. -2 Rearrange (-2*h - 2*h**2 + 2*h)*(5*h**2 - 3*h**2 - h**2) - 31*h**4 + 18*h**4 + 20*h**4 to the form q*h**4 + s*h + m*h**2 + a*h**3 + d and give q. 5 Rearrange 2*j**4 + 3*j**4 - 6*j**4 + (0*j**2 - 5*j**2 + 9*j**2)*(2*j - 2*j + 2*j**2) to the form r*j**3 + q*j**2 + v + u*j**4 + k*j and give u. 7 Rearrange -52 + 52 + 26*y to n*y + r and give n. 26 Rearrange (0*o - o**2 + 0*o)*(-9 + 5*o**2 + 9) to the form q*o**2 + g + x*o**3 + n*o + p*o**4 and give p. -5 Express 102*m - 103*m + 2 - 2 - 11*m**2 as y*m**2 + d*m + j and give d. -1 Rearrange 5 - 5 - i**2 + i**2 + 3*i**2 - 2*i**2 + (-i + 0*i - 3*i)*(-i + 0*i + 3*i) + 2*i**2 + 6*i**2 - 5*i**2 to r*i + t + n*i**2 and give n. -4 Express -91 + 45 + 48 - 33*g as l*g + c and give l. -33 Express (1 - 2 + 0)*(-5*s - 3*s + 4*s) + (-5 + 5 + 2*s)*(3 - 3 + 1) - 3*s + 7*s + 0*s in the form n*s + c and give n. 10 Rearrange s + 16 - 11 + 8*s**2 - s**3 - 10*s**2 to d + u*s**2 + r*s + z*s**3 and give r. 1 Rearrange -50 + 50 - 6*c to the form l*c + v and give l. -6 Express (2 + 4 - 3)*(15*x**2 - 7*x + 7*x) as s + g*x + i*x**2 and give i. 45 Express -19 - 9*w + 9 + 10 as o + c*w and give c. -9 Express (-2 - 2 + 5)*(11*x - 11*x + 2*x**2)*(0*x + 3*x - 4*x)*(4*x - 13 + 13) in the form t*x**4 + z*x**2 + g + i*x + v*x**3 and give t. -8 Express (3*z**3 + 3*z**3 - 4*z**3)*(-2 + 2 - 1)*(4 + 3 - 9) in the form h*z + x*z**2 + b + t*z**3 and give t. 4 Express (14*b - 5*b + 7*b)*(1 - 2 + 0) as k*b + v and give k. -16 Express -10 + 4*i**2 - 2*i**2 + 10 - i in the form u + o*i**2 + h*i and give h. -1 Rearrange (-4232 + 47*y + 4232)*(4*y**2 - 4*y**2 + y**2) to the form o*y**3 + t*y + u + l*y**2 and give u. 0 Rearrange -1 - 1 + 0 - 7*n**3 to b*n + f*n**3 + s*n**2 + g and give g. -2 Express 3*c + 5 - 5*c + 25 + 4 in the form p*c + s and give s. 34 Rearrange -13*p + 7*p + 16*p + 25*p to the form v*p + b and give v. 35 Rearrange -b**2 - 7*b + 0*b + 7*b to f*b**2 + m + p*b and give f. -1 Rearrange -4*q**2 + 5*q**2 - 2 - 2*q + 4*q**4 - 2*q**4 to k*q**2 + c*q**4 + v*q**3 + s + h*q and give s. -2 Rearrange 0*l**2 - 4*l**2 + 2*l**2 + (-1 - 1 + 0 + 0 + 0 - 2 + (2 + 3 - 6)*(-1 + 3 - 4) - 6 - 1 + 3 + 1 - 1 - 1)*(2 - 2 + l**2) to t*l + d*l**2 + b and give d. -9 Express -22*s**2 - 22*s**2 + 35*s**2 - 2 + 2*s as w + z*s + o*s**2 and give w. -2 Rearrange -91 - 10*b**2 + 91 to r + c*b**2 + a*b and give c. -10 Express (0*f**2 - 3*f**4 + 0*f**2)*(-20 - 131 + 17)*(4 - 6 + 1) in the form a + c*f**3 + l*f**2 + h*f**4 + p*f and give p. 0 Express (s + 2 - 2)*(2*s - 2*s - 2*s**2) + s - 2*s**3 - s + (s - s**2 - s)*(-s - 6*s - 5*s) in the form k*s + a*s**2 + r*s**3 + z and give r. 8 Express 3*r**2 + 22*r**3 - 8*r**3 - 6 + 6 as q*r**2 + z + c*r**3 + t*r and give q. 3 Rearrange 0*s**2 + 8*s**2 - 7*s**2 - 5*s**2 to the form f*s**2 + b + a*s and give f. -4 Express 5*j**2 - 257 - 21*j**2 + 257 - 2*j in the form i*j + c*j**2 + l and give c. -16 Express 2*t + 1 + 1 + 2*t**2 - 3*t + 9*t**2 in the form n + k*t**2 + h*t and give k. 11 Express i**2 + 24*i**2 - i**2 as l*i + v + q*i**2 and give q. 24 Rearrange -i**2 + 1 + 2 - 1 + 5*i**2 to the form g*i + y*i**2 + s and give y. 4 Rearrange -d - 5139*d**3 + 12*d**2 - 4*d**4 + 2*d**4 - 1 + 5139*d**3 to l + y*d**2 + v*d + a*d**3 + p*d**4 and give y. 12 Express (-35 + 48 + 56)*(4*h + 0*h - 2*h) as s*h + j and give s. 138 Rearrange -5*q**3 + 0 - 1 + 2 + 4*q**3 to the form n*q**3 + z*q**2 + a*q + f and give n. -1 Express 8*n**2 + 0 + n**3 - 2 + 2 + 1 as y + r*n + c*n**3 + a*n**2 and give c. 1 Rearrange -2*z**2 - 9*z**2 - 2*z**2 to the form d*z + n + v*z**2 and give v. -13 Express -n**4 - 2*n**4 + 2*n**4 + (0 - 1 + 2*n - 1)*(2*n**3 - 6*n**3 + n**3) in the form q*n**3 + c*n**4 + u*n**2 + t + g*n and give q. 6 Express 0*m**4 + 0 - 7*m - 2*m**4 - 2 as n*m**4 + u + g*m**2 + h*m**3 + w*m and give u. -2 Express (-2*q + 2*q - q)*(-6 + 6 - 4)*(2*q + 4*q - 4*q + (3 - 1 - 1)*(-3*q - 3*q + 4*q) + q - 5*q + 2*q) as a + t*q**2 + h*q and give t. -8 Express 11*o - 5*o + 18*o - 6*o in the form l + j*o and give j. 18 Rearrange 2*y**2 + 102 + 2*y - y - 2*y**3 - 102 to the form x + m*y**2 + c*y**3 + s*y and give m. 2 Rearrange 3*k**4 + 4 + 3*k + 0*k**4 + 2*k**3 - 4 to x + b*k + i*k**2 + p*k**3 + n*k**4 and give n. 3 Rearrange (5 - 5 - 1)*(0 + 0 - 5)*(-w - 1 + 1) to c*w + g and give c. -5 Express -1 - 12*h**3 - 34*h + 36*h + 3 as z*h + k*h**2 + n + w*h**3 and give z. 2 Express 9 - 26*s + 11*s - 11 as h*s + n an
{ "pile_set_name": "DM Mathematics" }
alue? (a) h (b) x (c) d c Let v = -133 - -45. Let w = v + 89. Let u = -85 + 84.5. Which is the third smallest value? (a) u (b) 4 (c) w b Let t be (184/10)/23 - (166/(-55) + 4). Let n = -0.2 + 0. Which is the biggest value? (a) 30 (b) 4/7 (c) t (d) n a Let i = -51291/17 - -3017. What is the fourth biggest value in i, -33, 4, -6, -4? -6 Let o = -2517 + 2522. Which is the second smallest value? (a) -2/9 (b) 16 (c) -4 (d) 3 (e) o a Let r = 2 - 2.4. Let j = -12.17771 - -12.50371. What is the second biggest value in -1/2, r, j, 2? j Let h = -0.616 + 2.616. Which is the biggest value? (a) 0.054 (b) h (c) 1/6 b Let f = -230 + 159. Let w = -7841 - -7770.3. Let x = w - f. Which is the third smallest value? (a) 1 (b) x (c) -4/13 a Let p = 19265 - 19264. Let s be (-54)/40 - (-2)/(-8). Which is the third smallest value? (a) s (b) p (c) 0.1 b Let i = -809 + 76045/94. Let r = -201/1222 - i. Let d = 3449/3 + -1150. What is the third biggest value in 4, d, -2/5, r? d Let f = -12.306 - -8.306. What is the fifth biggest value in f, 3, -1/878, -1, -0.3? f Let q be -3 - ((-365)/(-183) + -2)*(-1086)/(-2). Which is the third smallest value? (a) q (b) -0.1 (c) -0.01 c Let q = -60 + 104. Let t = -46 + q. Let h = -1/5 + -3/35. Which is the second smallest value? (a) t (b) -0.2 (c) h c Let p = -0.159 + -1.841. Let g = -20 + 22. Let u = g + p. Which is the third biggest value? (a) u (b) -2 (c) -1 (d) 0.3 c Let n = -79 - -235/3. Let t = -139574/11 - -12688. What is the smallest value in n, t, -0.3, 2/13? n Let p = 6977 - 6979. What is the second biggest value in -5, 1, -6/5, p? -6/5 Let k(s) = -71*s + 68. Let g be k(1). Let d = -17 + 7. What is the biggest value in d, g, -0.1? -0.1 Let h = 19169/5 + -3818. Which is the second smallest value? (a) -3/5 (b) -3 (c) h (d) -4 b Let k be 1/(-18)*81/(-18). What is the smallest value in 2734, k, 1? k Let x = 0.034 + -1.334. Let p = -17 + 15.3. Let r = x + p. Which is the third smallest value? (a) -5 (b) 0.2 (c) r (d) -2/5 d Let m = 6.6 + -7. Let o = -0.00394 + -0.19606. Which is the second biggest value? (a) 9 (b) m (c) o c Let r be 1/(3/(-2))*(-66)/220*10. What is the biggest value in 10, r, 0.5, -1, -0.5? 10 Let q(p) = -3*p - 23. Let l be q(-7). Let i be (40 + -40)*l/4. Let g = 33/7 + -139/28. What is the second smallest value in i, g, 1/9? i Suppose -3*n + 31 = 2*p, 2*n - 17*p = -14*p - 1. Let i = -0.16 + 0.06. Which is the fourth smallest value? (a) i (b) 3/4 (c) n (d) 0.3 c Let v be 2316/(-48) - (-6)/(-8). Let p be (-293)/364 - (-7)/(v/(-2)). Let l = p - -10/13. Which is the smallest value? (a) 2 (b) l (c) 3/7 b Let w = 81872 + -81880. Let n = 0.2 - 0.2. Which is the second smallest value? (a) 7/6 (b) n (c) w b Suppose 0 = -4*w + 4*x + 20, 5*w = 2*x + 8 + 11. Let y be 3/(-2)*((-2)/w - 0). What is the biggest value in 3/7, 4, y, -1? 4 Let t = -0.57104 - -0.54104. Let p(k) = k - 5. Let j be p(5). What is the second biggest value in t, j, -15? t Let d = 6003/40 + -731/5. Let l = d + -4. Which is the second smallest value? (a) -0.5 (b) l (c) -5/4 a Let z = -16 - -16.02. Let k = -2481.97 - -2482. Which is the second smallest value? (a) z (b) k (c) -4 (d) -1/2 d Let f = -0.43 - -1.36. Let s = 0.87 - f. What is the third smallest value in s, -0.5, 12? 12 Let z = 2734.2 + -2734. Which is the third biggest value? (a) 5.2 (b) -2/5 (c) z (d) 5 c Let g = -1.16 + 1.06. What is the fourth smallest value in -48, g, 14, 1? 14 Suppose -6*w - 473 = 73. What is the biggest value in -5, w, -0.2? -0.2 Let r = -2/587 + 189/227756. Let t = -293/776 - r. Which is the smallest value? (a) -0.5 (b) 4 (c) t a Let j = -4.087 + 3.787. What is the fourth smallest value in 15, -0.4, -2, j? 15 Let u(q) = -11 + 3*q - 6 + 7 + q**2. Let v be u(2). Let r = -55 - -167/3. Which is the fourth smallest value? (a) 2 (b) r (c) v (d) -5 a Suppose -21*m + 734 - 83 = 0. Let h = 106 - m. What is the third biggest value in 1, h, -0.2? -0.2 Let k = -28867.2 + 28867. What is the fourth smallest value in k, 5, 1, 0, -1? 1 Let y = 1 + 0. Let x be ((-46)/32)/(108/(-432)). What is the second smallest value in x, -3, y, -0.4? -0.4 Let g = 154.5 + -3.5. Let n = g - 156. Which is the second biggest value? (a) 7 (b) n (c) 8 a Let q = -2796 - -2799. Which is the second smallest value? (a) -33 (b) q (c) -0.072 c Let x = 13530 + -13534. Which is the third biggest value? (a) x (b) -55 (c) -2 b Suppose -s - 7 = -4*g, -2*s - 7 + 1 = -4*g. Let z be (-6)/(-21)*((-21)/60)/(-1). Which is the third smallest value? (a) g (b) z (c) -3 a Let f = -11/2 + 125/22. Let k = -5.4 + 77.4. Let l = k - 69. Which is the smallest value? (a) 2/17 (b) f (c) l a Let f = -63 + 51.2. Let u = 12 + f. Let p = -3.7 + -0.3. What is the second biggest value in -0.1, u, p, -2/11? -0.1 Let d = -490357/2 - -245178. Let f = -33 - -46. Which is the third biggest value? (a) -3 (b) d (c) f a Suppose -z = -13*z + 5628. Let v = 462 - z. What is the biggest value in 14, v, 5? 14 Suppose 25*m = 3*f + 22*m + 6, -4*m = -2*f - 2. Which is the third smallest value? (a) -0.1 (b) f (c) -12 (d) 41 a Let h(m) = -m**2 - 1346*m - 9378. Let g be h(-7). What is the fifth biggest value in 4, -17, g, 3/5, 1? -17 Let s = -0.238 - -0.338. Let n = -95/4 - -24. Which is the second biggest value? (a) -0.5 (b) n (c) -2 (d) s d Let t = 0.355 - -203.645. Let z = -203 + t. What is the smallest value in z, -3, 0.1? -3 Let h = 2/1409 + -1413/2818. Which is the smallest value? (a) h (b) 0.03 (c) -1 (d) 12 (e) 0 c Let r be (-15315)/3120 - (2/(-2) - 4). Let x = r - -1/16. Which is the second smallest value? (a) x (b) 5 (c) -31 (d) 4 a Suppose -2*d - 3*d + 738 = -j, 3*d + 5*j = 454. Suppose 4*r + 64 = -d. Let i = 53 + r. Which is the smallest value? (a) 4 (b) i (c) 0.08 b Let m = -54 + 916/17. Let r = -158.837 - -0.637. Let a = r - -158. What is the fourth biggest value in a, -3, 0, m? -3 Let i = -1114 + 1110. Which is the smallest value? (a) 1 (b) -10 (c) -4/5 (d) 2/3 (e) i b Let p = 1.298 - 1.698. What is the third smallest value in -5, p, 29, 4, -2? p Let c = -27 - -28.57. Let o = 0.43 + c. What is the smallest value in 3, o, 0, -11? -11 Let r = -14 + 11.4. Let l = -2 - r. Let i = 17/42 + -15/14. Which is the smallest value? (a) 3 (b) 1/12 (c) i (d) l c Let u = -3.75 - -4.6. Let j = 1.35 - u. Let t = 146/63 + -26/9. Which is the second biggest value? (a) t (b) 2/19 (c) j b Let n = 20921 - 20936. Which is the biggest value? (a) n (b) 5 (c) 0 b Let y = -0.04656 + -1.95344. Which is the second smallest value? (a) y (b) -0.1 (c) 97 (d) -0.05 b Suppose 5*h - 4*u = 27, -h - 2*u + 8 = 11. Suppose 3*l - 9 = -h*s - 0, -2*s = l - 5. Which is the biggest value? (a) s (b) -0.5 (c) -4 a Let h = -8219/2 + 4109. What is the second biggest value in -1, h, 1.3? h Suppose 90*l - 10*l + 2480 = 0. What is the biggest value in l, -0.5, -2/17, -5? -2/17 Suppose 3*m - 7*m - 20 = 0. Let q = -12078 + 12081. Which is the second smallest value? (a) m (b) -206 (c) q a Let j = -2409 - -2409.4. Which is the third smallest value? (a) 4/9 (b) -0.1 (c) -3 (d) j d Let r = -0.41 + 0.01. Let w = 1494.89 - 1495. Which is the smallest value? (a) r (b) -2/3 (c) 4 (d) w b Let z = 8761/2 - 4381. Which is the third smallest value? (a) -0.06 (b) -1/204 (c) 2 (d) z b Let z = 3.982 + 0.018. Which is the third biggest value? (a) -2/3 (b) -3 (c) -0.62 (d) -0.3 (e) z c Let x = 4/443 - 938/5759. What is the smallest value in 0.3, 17, 1/4, x? x Let p = -1522.4 + 1522.9. Let t = -3.5 - -3. What is the fourth biggest value in t, -3, -0.4, p? -3 Let b be (-3 - 16/(-3)) + 2 + -5. Let t be (-4 + -2 + 5)/(22/110). What is the second biggest value in b, -2, -0.5, t? b Let m be (-2)/(26/(-9)*228/(-494)). Which is the fourth biggest value? (a) m (b) -5 (c) 4 (d) 1/6 (e) -1.9 e Let i = -45.9 - -45.97. Let s = -5.2 + 5. Let y = 0.023 - 2.023. What is the smallest value in -1, s, y, i? y Let x = -24.8 - -290.8. Let q = 259 - x. Which is the fourth biggest value? (a) 0.02 (b) q (c) 3/5 (d) -2/21 b Let l = 1.2 + -0.8. Let d(h) = -h**3 + 7*h**2 - 7*h + 2. Let c be d(6). Let z = -206/5 - -41. What is the second smallest value in z, c, l? z Let r = 20.558
{ "pile_set_name": "DM Mathematics" }
) - 2*s(z). Give i(10). -8 Let l(t) = t - 38. Let j be l(-11). Let m = j - -53. Let a(i) = -16*i + 9*i + 3 + m*i + 7. Calculate a(7). -11 Let w(m) be the third derivative of 0 - 156*m**2 + 1/12*m**4 + 2/3*m**3 + 0*m. Give w(0). 4 Let s(k) = 2*k + 23. Let h be s(-11). Suppose m = 2*g - 3 - h, 5*m + g - 35 = 0. Let l(v) = -5*v + 2 + 1 + 2*v. Calculate l(m). -15 Let h(c) = c**3 - 54*c**2 + 55*c - 102. Let d = -7430 + 7483. What is h(d)? 4 Let j = 43 - 47. Let i be (18/j)/(14/28). Let u = i + 4. Let p(b) = b**2 + 5*b - 4. Calculate p(u). -4 Let f = -140 - -143. Let h(m) = -3 - 9 - f - m - 8. Give h(-11). -12 Let f be ((-1)/2)/(5/(-110)). Let q = 13 - f. Let i(h) = -1 + 3 - 1 + h**q - 2*h**2. Calculate i(-3). -8 Let k(z) = -5*z - 250. Let j(x) = -6. Let p(o) = -40*j(o) + k(o). Give p(11). -65 Let k(w) = 68*w**2 - 402*w - 32. Let q be k(6). Let s(y) = -24*y + 104. Calculate s(q). 8 Let b(n) = -239*n + 1674. Let w be b(7). Let y(l) be the third derivative of l**6/12 + l**4/24 - l**2. What is y(w)? 11 Let b(r) = -63*r**3 + 15*r**2 + 2*r - 25. Let n(o) = -8*o**3 + 2*o**2 - 3. Let m(i) = -b(i) + 8*n(i). Suppose -x + 5 - 4 = 0. Determine m(x). -1 Let i(t) = 4*t**2 - 22*t - 5. Let s be i(6). Let y(b) be the third derivative of b**5/60 - b**4/4 - 2*b**3/3 - 12*b**2. Determine y(s). 3 Let y(h) = h**3 - 17*h**2 + 31*h - 37. Let w be ((-60)/24 + 4)*30/3. Calculate y(w). -22 Let p(n) = n**3 + 14*n**2 - 15*n - 1. Suppose -3*s + 12 = 0, 10*s - 6 = -2*u + 5*s. Let v be 30/(u/(42/12)). What is p(v)? -1 Let w = -2 + 2. Suppose w = -5*o - 10, 4*o + 13 = 5*l + 5*o. Suppose 5*u = -2*i + 21, -2*i = 2*i + l*u - 7. Let v(c) = c - 2. Calculate v(i). -4 Let c(v) = v**2 + 4*v - 2. Let l(s) = 12 - 50*s - s**2 + 50*s + 0*s**2. Let a be l(3). Suppose 3*m - 2*r + 7 = -7*r, a*m + 2*r = -10. Determine c(m). -2 Let r(l) = -l**2 - 5*l - 3. Let q(c) = 4*c + 1. Let z(v) = 5*q(v) + 2*r(v). Suppose -6*b - 9 = -3*n - 3*b, 0 = -n + 4*b - 9. Give z(n). -29 Let h(n) = n**2 + 3*n - 3. Suppose 4*q + 751 = -3*g, 5*q - 731 = 3*g + 4*q. Let t = 248 + g. Calculate h(t). 15 Let n(q) be the second derivative of -q**3/6 + q**2/2 + 3915*q + 3. Suppose 8*g = 3*g - 25, 4*y + 19 = -3*g. Give n(y). 2 Let y(n) = -2*n + 4*n**2 + 0*n**2 + 0*n**2 + 4*n**2 - n**3. Let r = 1151 - 1143. Determine y(r). -16 Let g(t) = -4*t + 6. Suppose 21*s - 26*s = -10. Suppose 0 = -2*u + 6, -3*p + 2*p = s*u - 12. Determine g(p). -18 Let n(g) = g**2 - 17*g + 13. Let b be n(16). Let v(p) = -p**2 - 3*p + 2. Let x be v(b). Let o(u) = u**x - 8 + 10*u - 7*u**2 + 0*u**2 + 5*u**2. Give o(9). 1 Let u(z) = -z**3 + 3*z**2 + 10*z - 2. Let y be u(5). Let q be 176/(-11) - y/(-1). Let c be ((-3)/q)/(2/12). Let k(r) = -6*r - 1. Give k(c). -7 Suppose -36*m + 5*a = -41*m + 70, 5*m - a = 22. Let o(g) = 5*g + 47. Determine o(m). 77 Let y(d) be the second derivative of d**3/3 + 16*d. Suppose 2*c - 5*w = 18, 2*c - 3*w = -0*c + 18. What is y(c)? 18 Suppose 2*i - 25 + 226 = 5*s, 0 = -i - 3. Let y = s + -38. Let z(b) = -20*b - 26*b - y - 24*b + 69*b. Give z(3). -4 Let p = -4625 - -4626. Let l(s) = 2*s**3 - 2*s**2 + 2. Determine l(p). 2 Let s(m) = -m**3 + m**2 + 4*m + 3. Suppose -8*v = -742 - 3250. Let c = 503 - v. What is s(c)? -29 Let n(v) = -14*v + 15*v + 13 + 8*v - 3 + 3*v. What is n(-7)? -74 Suppose 28 = -1596*s + 1594*s. Let a(o) = -8*o - 100. What is a(s)? 12 Let g = 11061 + -11057. Let r(c) = -24*c + 39. What is r(g)? -57 Let r(o) = -o**3 + 4*o**2 + 8*o - 10. Let m be r(5). Suppose -2*j + 31 = m*s, 5*s - 21 - 19 = -5*j. Let q(d) = -9*d + 3. What is q(j)? -24 Let r(z) = 2 + 3*z - 91*z**2 - 4*z - 4*z + 94*z**2 - 4*z**3. What is r(1)? -4 Let w = 40 + -31. Let g be (-48)/18*w*-1. Suppose 6*y - g = -0*y. Let h(m) = -2*m**2 + 3*m + 2. Determine h(y). -18 Let w = -42109 - -42129. Let a(d) = d**2 - 22*d - 8. Determine a(w). -48 Let c(a) = -8*a**2 + 249214*a**3 - 249213*a**3 - 6 - 61*a - 22 - 17. Calculate c(13). 7 Let k(u) be the first derivative of 7*u**2 + 12*u + 2123. Determine k(2). 40 Let z = -1 - 1. Suppose -62*c + 26 = -49*c. Let f(k) = -81*k**2 + 26*k**2 - 3*k - 3 + 25*k**2 + 26*k**c. Give f(z). -13 Let l be (-4)/6 - (-225)/(-27). Let q(u) = -2*u - 14. Let k be q(l). Let t(m) = k - 52*m - 3 + 48*m. Give t(1). -3 Let f(r) = -2 + 7*r - 4*r + 3*r. Let d be 13 - (90/18 + 12). Calculate f(d). -26 Let d(p) = -p**3 + 6*p**2 + 7*p + 9. Let i be (-8)/(4/2)*(-22)/4. Let h = i + -17. Suppose -5*x - 4*f + 23 = 0, 10 = x - h*f + 4*f. What is d(x)? 9 Suppose 42 = 8*h - 5*h. Suppose -4*r = 5*i - 34, -3*r + h = 2*i - 1. Let p(g) = g**2 - 6*g - 5. What is p(i)? -5 Let o(i) = 2*i + 29. Let k(r) = r**2 - 32*r + 143. Let z be k(26). Determine o(z). 3 Let i(b) = -7*b**3 - b**2 + b + 1. Let z(c) = -c**3 + 5*c**2 + 3*c. Suppose 1 - 13 = -4*x. Let s be z(x). Let y = -28 + s. What is i(y)? 6 Let p(n) = -n - 4. Suppose -3*f + 180 = -0*f. Suppose 0 = -62*o + 68*o + f. Calculate p(o). 6 Suppose -5*o - 5*n - 10 = 0, -5*o = -n + 5*n + 8. Suppose 4*a + 13 = -5*q - 7, -5*q + 5 = -a. Let p(z) = -5 - z + q + 4 + 3. What is p(o)? 2 Let w(i) = -i**2 - 48615 + 24303 - 10*i + 24303. Give w(-7). 12 Let g(j) be the second derivative of j**4/12 + 3*j**3 + 9*j**2/2 + 9146*j. Calculate g(-18). 9 Let n be (-4808)/(-601) + (7/(-1) - -1). Let y(j) = -6*j**3 + 2*j**2 - 4. Give y(n). -44 Suppose 2*x - 19 = 5*p, 4*p + 5 = 2*x - 11. Let r(f) = 24*f + 19. What is r(p)? -53 Let v(d) = -4*d + 1. Suppose -38*c - 2904 = -26*c. Let m = c + 242. Calculate v(m). 1 Let v(g) be the second derivative of 3*g**5/20 + g**4/12 + g**3/6 - 2*g**2 - 310*g + 100. Let x(l) = -l**3 + 2*l**2 + l - 2. Let n be x(2). Give v(n). -4 Suppose -50 = 14*a + 48. Suppose -5*w + w = -12. Let h(o) = -8*o + w + 0 - 2 - o**2. Determine h(a). 8 Let t be (4 + 0 - 4)/1. Let i(q) = q + 8. Let m(a) = -3*a - 24. Suppose -3*l + 5*v = -9, -4*l + 25 = v - 10. Let r(s) = l*i(s) + 3*m(s). Give r(t). -8 Let p(k) = -2*k - 2. Let w(n) = -10*n - 24. Let s(m) = 10*p(m) - w(m). Calculate s(-3). 34 Let j(l) = -6*l**2 - 33*l + 2. Suppose 1707*b = 1638*b - 414. Give j(b). -16 Let j be (-28 - -50)/(2/(-2)). Let b be ((-7)/(-14))/(1/j). Let c(z) = 2*z + 11. Give c(b). -11 Let b(g) = -7*g - 8848 + 4440 + 4452. Calculate b(-5). 79 Let r be ((-88)/99)/((-12)/54). Let i(k) = 5*k**2 + 2*k**2 - 5*k - 6*k**2. What is i(r)? -4 Let x(l) = -l**3 - 4*l**2 - 7*l + 1. Let s be x(-2). Let r(b) = -1 + 7*b - s*b - b. What is r(4)? -5 Suppose -16 = -j - 5*g + g, -3*g + 15 = 0. Let l be (-2 + 2/4)*(j + 10). Let u(a) = a**3 + 10*a**2 + 10*a - 4. Calculate u(l). -13 Let n(l) = 19*l**2 - 74*l**2 + 1 + 45*l**2. Determine n(-1). -9 Suppose 81*i + 1644 = 87*i. Let l(m) = i + 273 - 548 + 6*m. Let u = 0 - 1. Give l(u). -7 Suppose -36 = -m - 56. Let w(z) = 5*z + 101. What is w(m)? 1 Let d(h) = -3*h**3 - 5*h**2 + 3*h + 19. Let b(g) = 22*g**3 + 40*g**2 - 22*g - 145. Let z(j) = 2*b(j) + 15*d(j). Let o(u) = 5*u. Let r be o(1). Give z(r). 0 Let n(h) be the first derivative of 4*h**3/3 - 9*h**2 + 10*h - 724. Calculate n(4). 2 Let o(y) = y**3 + 5*y**2 + 5*y - 3. Let z(c) = -2*c + 21. Let d(k) = -3*k + 22. Let r = 14 - 17. Let h(b) = r*d(b) + 4*z(b). Let u be h(-22). What is o(u)? -7 Let l(n) = -8 + 26 - 11*n + 24 + 46 + 10. Calculate l(9). -1 Let f(z) be the second derivative of z**5/20 + 2*z**4/3 - 4*z**3/3 - 3*z**2 + 2258*z. Calculate f(-9). -15 Let b be (-6 + 252/49)/((-1)/14). Let l(u) = 8*u + 10*u - 27*u + b + 8*u. Calculate l(8). 4 Let u(o) = -o**2 - 3*o - 1. Let x(l) = 2*l + 8 - 6 - 4 - 11*l + 3*l**2. Let y(d) = -3*u(d) + x(d). Give y(-1). 7 Let t(f) = 5*f - 36. Let w be t(9). Suppose -w*r - 5*p + 22 = -6*r, -2*r - p = -10. Suppose -9*d + 10 = -r*d. Let x(s) = -5*s + 3. Give x(d). -7 Let q(v) = 4*v**3 - 3*v**2 + 9*v. Let a(h) = -21*h**3 + 15*h**2 - 49*h - 1. Let d(k) = 2*a(k) + 11*q(k). Determine d(2). 4 Let g be (-32)/7*(9 - 16). Let m be (0/1)/(-1 - 0). Suppose m = -4*o + u - g, 0 = 2*o + 3*u - 0 + 16. Let b(a) = a**2 + 7*a - 3. Determine b(o). 5 Let u(v) = -4*v**3 - 4*v**2 + 3*v - 5. Let n(t) = -2*t**2 + 36*t + 5. Let r be n(18). Let w(f) = -f**3 + f - 1. Let m(i) = r*w(i) - u(i). Determine m(4). 8 Let r(z) = z**3 - 9*z**2 + 4*z + 22. Suppose -30*g + 89*g = 531. Calculate r(g). 58 Let f(k) = k**2 - 5*k - 5. Let c be (14/4)/(-1) - 7/14. Suppose 3*n = -z + 2, n + z - 3*
{ "pile_set_name": "DM Mathematics" }
d? 7 What is the thousands digit of (-19227520)/(-2240) + 4/(-42)*-3? 8 What is the tens digit of ((-117)/10)/(30/(-200))? 7 Let x(g) = -g**3 + 201*g**2 - 335*g + 558. What is the ten thousands digit of x(198)? 5 Let d(c) = 5*c**2 - 25*c + 6. Let i be d(5). Suppose 39 = -5*o - i. Let x = 22 + o. What is the units digit of x? 3 Let b(n) be the third derivative of 5*n**4/8 - n**3/3 + n**2 + 31*n. What is the hundreds digit of b(13)? 1 Suppose 12 - 2 = 5*r. Suppose r*w - 7 = -1. What is the units digit of w/9 - (-346)/6? 8 Let j be -10*(-12)/(-15)*10/(-4). What is the tens digit of (j/15)/((-6)/(-315))? 7 What is the hundreds digit of ((114/(-4))/19)/(3/33460*-2)? 3 What is the units digit of (708/(-15))/(14/21*3/(-575))? 0 Let w = -6382 + 18692. What is the thousands digit of w? 2 Suppose -5*n + 2555 = -5*d, 4*d - 5*d - 2035 = -4*n. Suppose -1270 = -5*v - p, -5*p + 7*p - n = -2*v. What is the units digit of v? 4 Suppose -f - 2*f + 2438 = -4*k, -3*k - 1825 = -4*f. Let u = k - -1260. What is the tens digit of u? 4 Suppose -5*i = r - 35749, -39*i + 41*i - 4*r - 14304 = 0. What is the thousands digit of i? 7 Suppose -22*n + 63*n - 201042 = 24*n. What is the thousands digit of n? 1 Let s = 1847 - 401. Let u = s - 620. What is the hundreds digit of u? 8 Let s(a) = 2*a + 34. Let f be s(-16). Suppose h - 5*k - 8 = 0, -4*h - 16 + 4 = f*k. What is the units digit of (h + 0)*(-6 + 25/10)? 7 Let n = 1623 - 200. Let m = n + -977. What is the hundreds digit of m? 4 Suppose -7122*d = -7143*d + 310842. What is the units digit of d? 2 Let g(m) = -m**3 - m**2 - m - 2. Let s(t) = t**3 + 4*t**2 - 5*t - 5. Let w(j) = 2*g(j) - 2*s(j). Suppose 0 = 5*o + 12 + 13. What is the tens digit of w(o)? 1 Suppose 3*k - 2*k = -h + 12, -3*k - 2*h = -32. Suppose -k = -u + 3*u, -5*m + 651 = -4*u. What is the tens digit of m? 2 Let s = 56 - 23. Suppose 0 = 13*t - 12*t + s. What is the tens digit of t*((-16)/(-3))/(-8)? 2 Let m(b) = -b**2 - 7*b + 11. Let s = 41 + -49. Let r be m(s). What is the units digit of (-2*(-1)/r)/((-4)/(-138))? 3 Let h(u) = -u**3 - u**2 + u + 38. Let z(v) = 72*v - 8. Let a be z(-1). Let i = 80 + a. What is the tens digit of h(i)? 3 Let o(i) = -2*i**3 - 15*i**2 - 39*i - 226. What is the units digit of o(-11)? 0 Let q(m) = -38*m - 128. Suppose -23*g - 33 - 496 = 0. What is the units digit of q(g)? 6 What is the units digit of (3 - 6/8)/(-5*(-2)/49480)? 3 Let q(k) = -k - 34. Let y be q(-39). Suppose 0*w - w + 1466 = y*p, -3*w + 3*p = -4416. What is the thousands digit of w? 1 Let b(k) = 391*k**2 - 86*k + 588. What is the tens digit of b(7)? 4 Suppose -c + 3*n = -50831, -4*c + 4*n = -33559 - 169789. What is the ten thousands digit of c? 5 Suppose 40*j = 3*z + 39*j - 122170, 5*z = 2*j + 203618. What is the tens digit of z? 2 What is the hundreds digit of (-3656)/(-6)*((-13)/(-24)*30 + 7)? 1 Let o(n) = 3*n**2 + 39*n + 51. Suppose 181 = 4*d + 273. What is the units digit of o(d)? 1 Suppose 7*z - 4*z = 5*o + 1350, o = -2*z + 900. What is the units digit of z? 0 Let x(r) = -29*r**3 - 7*r**2 + 165*r + 1361. What is the ten thousands digit of x(-8)? 1 Suppose 42*h - 2035 = 31*h. Suppose 0 = 3*k + 3*u - 477, 437 = 5*k + 4*u - 362. Suppose 6*g - h - k = 0. What is the units digit of g? 8 Let n = -8262 - -21663. What is the units digit of n? 1 Suppose 3*u - 5*v + 3*v - 25 = 0, -3*u - 5*v + 53 = 0. Let i(q) = 12*q + 44. What is the hundreds digit of i(u)? 1 Let y be (-1108)/(-2) - (4 - 5). Suppose 2 = v, 0*n + 3*v = n + 3. Suppose -2*h + 5*l + 370 = 6*l, 5*l + y = n*h. What is the hundreds digit of h? 1 Let x(g) = g**3 + 95*g**2 + 162*g - 149. What is the tens digit of x(-93)? 8 Suppose -2321 = 25*m - 396. What is the hundreds digit of (-12)/(-66) - 7840/m? 1 Let s(k) = -234*k + 12395. What is the hundreds digit of s(-72)? 2 Let j(u) = -u**3 + 3*u**2 + 7. Let g be j(4). Let r be ((12/5)/1)/(g/30). What is the tens digit of (-1*26)/2*(r - -3)? 6 Suppose h + 3343 = j + 14150, -h - 5*j + 10807 = 0. What is the thousands digit of h? 0 Let q(d) = 38*d**2 + 3*d + 1816. What is the tens digit of q(38)? 0 Let p = -18905 + 36901. What is the hundreds digit of p? 9 Suppose -4*l = 5*j - 6 - 33, -17 = -2*l - 3*j. What is the units digit of 3524/l + ((-3)/4)/3? 0 Suppose 574908 = 8*p - 80*p + 1568940. What is the hundreds digit of p? 8 Suppose -3*f + 10 = -13*f. Let v be -1*(1298 + f + 2) - -3. What is the tens digit of v/(-26) + (-6)/(-39)? 5 What is the ten thousands digit of (291205/7 - 3) + (-320)/(-1120)? 4 Suppose 0 = -151*q + 143*q + 14360 + 138680. What is the tens digit of q? 3 Let c = 67899 - 33253. What is the thousands digit of (c/51)/((-5 + 2)/(-9))? 2 What is the tens digit of (-10)/(-3)*(-72)/300 - 154018/(-10)? 0 Let j = 12838 - 7841. What is the units digit of j? 7 Let k = -56043 + 82076. What is the tens digit of k? 3 Suppose 0*r + r - 757 = 2*k, -2*r - 2*k = -1514. Suppose -2*x + 122 = -n - r, -15 = -5*n. What is the hundreds digit of x? 4 Suppose 11*c = 2 + 42. Suppose c*r + 20 = 0, -r = 5*a - 4*r - 8045. What is the tens digit of a? 0 Suppose 25 + 11 = 2*p. Let y = -18 + p. Suppose o - 86 - 20 = y. What is the tens digit of o? 0 Suppose -56*l - 210 = -14*l. Let w(x) = -13*x - 48. What is the units digit of w(l)? 7 Let z(i) = 7*i**2 - 16 + 0*i**2 + 15*i - 3 + 0*i. What is the hundreds digit of z(-7)? 2 Let o(w) = w**3 + 16*w**2 + 35*w - 38. Let m be o(-13). What is the tens digit of (m - 27/3) + (-1 - -847)? 5 Let k be 60*(5 - 154/35). Suppose -k*g = -43*g + 3297. What is the units digit of g? 1 Suppose 3*p + 6761 = 43*a - 41*a, 0 = -3*a - 2*p + 10109. What is the thousands digit of a? 3 Let l(t) = 10166*t**2 - 104*t + 103. What is the thousands digit of l(1)? 0 Suppose 1201 = 1702*h - 1703*h. Let y = h - -1818. What is the hundreds digit of y? 6 Suppose 5*z + i + 2349 - 528 = 0, 0 = z + 4*i + 349. Let a = z - -228. Let p = 340 + a. What is the units digit of p? 3 Let p = -1463 + 2470. Let u = 2245 - p. What is the hundreds digit of u? 2 Let b(t) = -874*t - 1053. What is the units digit of b(-11)? 1 Let d(m) = 10*m**2 - 5*m + 16. Let p be d(3). Let k = p - -121. What is the hundreds digit of k? 2 Suppose 5*s - 2 = 2*y, -5*y + 4 = 9. Suppose s = -5*a - 3*b - 1 - 3, 5*b + 15 = 0. What is the units digit of (a - (-229)/(-3))/((-8)/12)? 3 Let k be 24/10*(-100)/(-30). Suppose x + 4*l - 395 = 0, 3*l - 1992 = 3*x - k*x. What is the tens digit of x? 9 Suppose -75*c = -170*c + 1253050. What is the hundreds digit of c? 1 What is the tens digit of (2027796/464)/((-3)/(-4))? 2 Suppose 0*i - 3*i = 141. Let j = -33 - i. What is the units digit of 3 - 1*j*-3? 5 Let v be 78/351 + 2534/18. Suppose -v*d + 123*d = -12042. What is the units digit of d? 9 Suppose -63432 = -4*o - 4*k, 21*k = 10*o + 17*k - 158566. What is the tens digit of o? 5 Suppose x - 14 = -3*s, -x + 3*s + 0*s - 10 = 0. Let i(z) = x + 2 - 5 + 0 + 56*z. What is the tens digit of i(1)? 5 Suppose -4*p = 2*p - 18582. Suppose 6*b - p = 11. Suppose 3*m + 5*j = 201 + 102, -4*j + b = 5*m. What is the tens digit of m? 0 Let h(t) = 3*t**2 + 16*t + 12. Let g(w) = -4*w**2 - 15*w - 12. Let y(p) = -2*g(p) - 3*h(p). Let o be y(-11). What is the units digit of 20/5 + o + 1? 0 What is the hundreds digit of 11*(-13 + (-294903)/(-77))? 9 Suppose 0 = -7*y + 107 + 124. Let v = -85 + y. Let b = 78 + v. What is the tens digit of b? 2 Suppose 4*y - 47 = -3*v, -y + 0*v = v - 11. Suppose -11*i + y*i - 1161 = 0. What is the tens digit of i? 8 Suppose -2*d - 4430 = -7*d - 3*n, -3*d - 5*n = -2642. Suppose -h - 5*j + d = 0, -h + j + 195 + 664 = 0. What is the tens digit of h? 6 Let s(m) = 20*m**3 + 2*m**2 + 8*m + 3. Let w = 193 - 189. What is the tens digit of s(w)? 4 Suppose 3*d + 5*d = 40. Suppose -d*w - 5*h + 209 = -2*h, -2*h = -w + 34. Suppose -k + w = -69. What is the units digit of k? 9 Let t(l) = 16*l**2 - 20*l + 28. Let r be t(12). Let j = r - 1191. What is the units digit of j? 1 Suppose z + 3*g - 31 = 0, -2*g - 16 = z - 2*z. Let q be (0 + -2)/(z/11). What is the tens digit of (-13 + q + 0)*-2 + 2? 3 Suppose 297*p - 263*p - 117810 = 0. What is the thousands digit of p? 3 Let z(l) be the first derivative of l**4/6 + 7*l**3/6 - l**2/2 - 16*l - 19. Let b(g) be the first derivative of z(g). What is the tens digit of b(5)? 8 Let f = 87 -
{ "pile_set_name": "DM Mathematics" }
False Let k = -2850 - -8956. Is k a multiple of 86? True Suppose -17*f - 5244 = 2066. Let n be (-2)/(-8) - 131/(-4). Is 23 a factor of (-1 + n/6)*f/(-15)? False Let m(x) = 25*x + 3664. Does 3 divide m(-86)? False Let h(a) = a**2 + 3*a - 1. Let k be h(-3). Let w be 6*(5 - 7) + -24 + 34. Is (2747/(-82))/(w/(-4) + k) a multiple of 4? False Suppose -3*y - 5 = 5*w, 0 = 5*y + w - 2*w - 29. Let f be (-4 + y)*2 - 9*1. Let k(m) = -5*m + 19. Is 4 a factor of k(f)? False Suppose 580*q = 609*q - 119103. Is 111 a factor of q? True Let l be 6/(-6) + 1012 + -5. Does 33 divide 198/(-42) - -5 - l/(-7)? False Suppose -43*a + 431154 = -506870 + 32659. Is a a multiple of 21? False Let w(n) = 178*n**2 - 11*n - 122. Is w(-6) a multiple of 16? True Let c(p) = 5*p**2 - p + 1. Let m be c(1). Let r(q) be the third derivative of q**5/30 - q**4/8 + 4*q**3/3 - 13*q**2 + 41*q. Does 10 divide r(m)? False Suppose 7778 + 3358 = 29*i. Is 13 a factor of i/((3 - -3) + 48/(-9))? False Let y(d) = -26*d**3 + 2*d**2 - 3*d - 8. Let c = 140 + -142. Is 3 a factor of y(c)? False Let m = 446 + -280. Let y = m + -25. Suppose 3*w = -5*a + 210, 2*w = 4*a - w - y. Is 15 a factor of a? False Suppose -3*d + 4*d + 1 = 3*t, -4*d - t + 9 = 0. Let y(n) = 102*n**3 + n**2 - 2*n - 4. Does 29 divide y(d)? True Let i be 54/(-6)*(-3)/(-9) - -19. Suppose -274 = -i*l + 12062. Is l a multiple of 84? False Let d(x) = 501*x - 272*x - 270*x - 15. Is d(-11) a multiple of 12? False Let c = 11 - 12. Is (c + (-2)/2)*-44 a multiple of 44? True Is 8 a factor of (4 - ((-9 - -4) + (8 - 2))) + 173? True Let a be (-1 - (-3)/1)*(-8)/(-4). Suppose 4*k = -2*x + 34, -k - k + a = 0. Is x a multiple of 2? False Suppose -5*x = 3*s + 5430, -2*x = -s - 1204 - 606. Does 22 divide 2/((30/s)/((-6)/4))? False Let z(s) = 7*s**3 - 14*s + 35. Is z(5) a multiple of 24? True Let m = 8130 + -3144. Is m a multiple of 9? True Let u = 34 + -45. Let m be 2320/55 - (-2)/u. Let q = m + 22. Is q a multiple of 26? False Suppose -15*b + 97684 = 4099. Is b a multiple of 17? True Suppose -27 = -3*w, 0*w = k + 5*w - 44919. Is k a multiple of 198? False Let y(p) = p**2 + 15*p - 17. Suppose 1 + 5 = -z - 5*s, -5*z - 2*s = 76. Let l be y(z). Does 11 divide l/(-6) + 161/6? False Let s(w) = w**3 - 7*w**2 - 13*w - 9. Let p = -30 + 94. Suppose -73 + p = -t. Is s(t) a multiple of 9? True Let k be 4/18 - ((-1392)/54 - -4). Suppose 118 = 3*s + 4*v, -4*s = -3*v - k - 102. Does 15 divide s? False Let f = -16970 - -19384. Does 17 divide f? True Suppose 2*w + 5*d = 1, -4*d - 1 = 3. Suppose -2*q - 91 = -5*h, -w*h - 2*h = q - 82. Suppose 0 = 26*f - h*f - 2376. Does 22 divide f? True Let r(n) = n**2 - 8*n + 18. Let y be r(4). Is (80/(-24) - -4)/(y/624) a multiple of 13? True Suppose 0 = 4*f - 14*f. Suppose 3*i + 3 = f, 2*s + 5*i + 4 - 15 = 0. Let j(l) = 5*l - 6. Is j(s) a multiple of 9? False Let b(h) = -h**3 - 40*h**2 - 113*h - 71. Let s be b(-37). Is -6 + (518 - (s + -2)) a multiple of 24? False Let h = 20464 - 19283. Is 46 a factor of h? False Let a be (-2)/(0 - 10/(-25)). Let x be 0 + (3 - a/(-1)). Let y = x + 12. Does 10 divide y? True Let y(w) = 7*w**2 + 10*w + 13. Is y(-6) a multiple of 6? False Let r be 12/(-8) - (-3)/2. Let m be 36*(r + (4/(-8))/1). Does 9 divide (m/(-10))/(6/90 - 0)? True Let a = 430 - 1225. Let c = -337 - a. Is 15 a factor of c? False Let a(m) = -m + 8. Let p be a(10). Is 22 a factor of (5/p)/((-38)/6688)? True Let q be (-1)/2 - (-367)/(-2). Let r = 448 + q. Suppose 0 = 20*u - 8*u - r. Is 11 a factor of u? True Suppose 2*j - 4*d - 22824 = 0, -4*d - 108 + 84 = 0. Is j a multiple of 38? True Suppose 2*h - 872 = -2*k, -104*h + 102*h - 3*k = -875. Let g = 106 + h. Does 10 divide g? False Suppose 2*d = 4*w - 70, -w + d + 0*d + 19 = 0. Let o(l) = -3*l**2 + 54*l - 12. Is 6 a factor of o(w)? True Let g(h) = h**2 - 13*h + 50. Let d be g(6). Suppose b = 2*x - 537, x - d*b + 5*b = 261. Is x a multiple of 10? True Is 149 a factor of ((-4768)/(-12))/(18/297)? True Suppose 160 = 12*v - 44*v. Does 10 divide 5*(-101)/v - -5? False Is ((-22)/11 - 7) + -3 + 614 a multiple of 3? False Let v(u) = 73*u**2 - 2*u - 2. Let w be (4/(-18))/((-4)/36). Let q be (-2 - (w - 3))/1. Is v(q) a multiple of 13? False Let u(v) = -823 - v**3 - 3*v**2 + 5*v**3 - 12*v + 838 - v. Is u(6) a multiple of 33? True Let b(j) = -j + 4. Let k be b(4). Suppose -28*n + 737 = -17*n. Suppose 2*q + q - 207 = 3*g, k = -q + 3*g + n. Is 13 a factor of q? False Suppose 3*m - 17 = -i, 5*m - 4*i - 26 = -9. Suppose -m*s + 15 = -2*s. Is s a multiple of 2? False Let h(d) = 158*d - 189. Let p be h(8). Suppose -2*n + 3*i + 423 = 0, 5*n + i - p = 5*i. Is 35 a factor of n? False Let s = -446 + 445. Let g(j) = 1093*j**2 - 22*j - 23. Is 14 a factor of g(s)? True Let u be -547*(3 + -1)/(-2). Suppose 4*x - r + 2*r = 437, 5*x = -2*r + u. Does 8 divide x? False Let d(t) be the first derivative of t**4/24 + 13*t**3/3 - 13*t**2/2 + 27. Let s(m) be the second derivative of d(m). Is 14 a factor of s(-11)? False Suppose -177*d = -169*d - 110336. Is d a multiple of 4? True Let y(s) = -s**3 + 30*s**2 - 62*s - 24. Does 27 divide y(22)? True Suppose 0*i = -3*i + 9. Suppose -9 = -6*f + i. Suppose p = 5*o + 52, -f*o = 2*p - 6*o - 128. Is p a multiple of 28? False Let m = 64 + -62. Suppose -m*t - 18 = 2*o, -3*t - 2*o - 11 = -7*o. Let c(z) = -z**2 - 12*z + 15. Is 5 a factor of c(t)? True Let q(v) = v**3 + 6*v**2 + 11*v - 8. Let o be q(-6). Let j = o + 85. Does 17 divide (0 + 20)*j/2? False Let i(c) = 6*c + 2. Let y be i(16). Let g = -44 + y. Is g a multiple of 7? False Suppose -10*t - 50 = -150. Is 9 - t - (-456 - -1) a multiple of 19? False Suppose -8*c = -5*c - 2592. Let k = c + -580. Suppose 5*h + 4 = k. Is h a multiple of 14? True Let g(p) = -2423*p - 16*p**3 + 4853*p - 2427*p - 5*p**2. Is g(-5) a multiple of 23? False Let z(b) = 230*b**2 - 135*b - 686. Does 8 divide z(-5)? False Let d(r) = r**2 - r + 1. Let o(f) = -f**3 + 5*f**2 - 2*f - 5. Let a be o(2). Suppose 0 = -a*l - 2 - 19. Does 19 divide d(l)? True Let b(s) = -17*s + 124. Suppose 0 = -5*z - 3*w + 27, -4*z - 4*w = z - 26. Is b(z) a multiple of 15? False Let c(i) = 526*i**2 - 321*i + 5. Does 5 divide c(3)? False Let m(l) = 4*l + 47. Let t be m(8). Suppose -72*v + t*v - 3290 = 0. Is 47 a factor of v? True Is 21 a factor of (-74 - -33)*(-106 - 1)? False Suppose 8*a - 9804 - 6294 = 30078. Does 73 divide a? False Is 22 a factor of (-2)/(2/(-5)) - (-347653)/199? False Let v = 16 - -560. Suppose 6*k - 1218 - v = 0. Does 6 divide k? False Let j = 86 + -92. Let n(g) = -45*g - 130. Is n(j) a multiple of 5? True Let h = 166 - 170. Let n(i) = i**3 + 9*i**2 + i - 1. Does 22 divide n(h)? False Let l(w) = -2*w**2 + 13*w + 33. Let o be l(-6). Let n = o + 185. Is n a multiple of 4? True Let m = 23 + -25. Let t(l) = 74*l**2 - 2*l - 3. Let n be t(m). Let u = n - 195. Does 17 divide u? True Let m = 90 - 91. Is 14*70/12 - m/3 a multiple of 5? False Suppose -s + 119 = 4*p, s + 2*s - 330 = -3*p. Let w = -71 + s. Let i = w - 26. Does 10 divide i? True Let x(i) = -74*i - 18. Let t be x(4). Let q = -161 - t. Is 9 a factor of q? True Let h(n) = 4386*n**2 + 170*n + 345. Is 161 a factor of h(-2)? True Suppose -3*z - p + 5 = 0, -18 = -4*z - 4*p + 2. Suppose 5 = -z*c + 4*c + 5*i, 0 = -3*c + 5*i + 30. Suppose 6*d = c*d + 160. Does 32 divide d? True Suppose -128935 = -254*t + 6156 + 33819. Does 56 divide t? False Let w = 7926 + -5855. Is 6 a factor of w? False Let h be (-6)/10 - (7 - 3/5). Is (123 - 0)*h*(-8)/24 a multiple of 5? False Is 37 a factor of (-2)/(-80) + (-513358416)/(-12160)? True Let t(d) = 8*d**2 + 55*d + 84. Does 121 divide t(8)? False Suppose -2*d = -4*x - 16892, -4*x - 8991 - 24785 = -4*d. Is 18 a factor of d? True Does 10 divide 18/99 - 1608/132 - -5475? False Let b(q) = 15*q**2 - 148*q - 1571. Does 10 divide b(-12)? False Is 15 a factor of ((-42)/(-9) - 1 - (-26)/(-13))*831? False Is (50/(-1))/(20/(-45))*2 a multiple of 5? True Suppose -2*i + 7*i + 20 = 0. Let t(h) = -3*h**3 - 5*h**2 - 2*h - 5. Let j be t(i). Suppose 100 + j = 5*u. Is 16 a factor of u? False Suppose -5*x - 4*z = -x - 82588, 0 = -5*x + 5*z + 103225. Is x a multiple of 41? False Let u be 735/75 + (-1)/(-5). Suppose -2*k - 4*t + 10 = -t, -4*t + u = k. Suppose -k*b = -o + 12, -31 = -5*o - 5*b + 29. Is o a
{ "pile_set_name": "DM Mathematics" }
ivisor of 2082 and 3674036. 694 Calculate the highest common divisor of 58942 and 256. 2 Calculate the highest common factor of 36215 and 162700. 5 What is the highest common divisor of 71402 and 87913? 19 What is the highest common divisor of 2640905 and 95? 95 What is the greatest common divisor of 176496149 and 361? 361 Calculate the highest common divisor of 268497901 and 49. 49 Calculate the highest common factor of 447206802 and 4830. 966 What is the greatest common divisor of 8255868 and 26214? 1542 What is the greatest common factor of 236439 and 1433700? 243 Calculate the greatest common divisor of 4446750 and 4050. 150 What is the greatest common divisor of 10331806 and 222? 74 Calculate the greatest common divisor of 2673 and 22961037. 33 What is the highest common factor of 1600 and 628942400? 1600 Calculate the highest common divisor of 7579 and 951509. 689 Calculate the greatest common factor of 303177 and 27. 3 What is the highest common factor of 268887345 and 14085? 4695 What is the greatest common divisor of 162 and 2206530? 18 What is the greatest common factor of 16632804 and 120? 12 What is the highest common factor of 2294 and 1517636? 62 What is the greatest common divisor of 104876 and 91516? 668 What is the highest common factor of 185381 and 16060261? 2611 Calculate the greatest common factor of 3646 and 231723353. 1823 What is the greatest common divisor of 8252544 and 3072? 384 What is the greatest common divisor of 1812 and 52119915? 453 Calculate the highest common divisor of 10 and 128195395. 5 What is the greatest common factor of 23516978 and 296? 74 Calculate the greatest common divisor of 39232063 and 13. 13 Calculate the highest common divisor of 2007 and 7034758. 223 Calculate the highest common divisor of 23668020 and 40. 20 Calculate the greatest common divisor of 786 and 341232861. 393 What is the greatest common factor of 98 and 496577858? 98 What is the greatest common factor of 38517350 and 73085? 1555 What is the greatest common factor of 797873 and 449? 449 Calculate the highest common factor of 640125 and 17775. 225 What is the highest common factor of 493038 and 12797316? 5418 What is the highest common factor of 112 and 136169586? 14 Calculate the greatest common factor of 38621968 and 7192. 232 Calculate the highest common factor of 16401612 and 876. 12 What is the highest common factor of 567 and 412965? 189 Calculate the highest common divisor of 4174 and 57916337. 2087 Calculate the greatest common divisor of 9554 and 945549826. 9554 Calculate the greatest common factor of 1899 and 622097841. 633 What is the greatest common factor of 1790 and 46784335? 895 Calculate the highest common divisor of 131 and 29552683. 131 What is the highest common divisor of 33570975 and 34622? 2473 What is the highest common factor of 308 and 5854604? 28 What is the highest common factor of 59836410 and 90? 90 What is the greatest common divisor of 509 and 43238023? 509 Calculate the greatest common divisor of 442750 and 165. 55 Calculate the highest common divisor of 12879227 and 6617. 509 What is the highest common divisor of 4934089 and 261? 29 What is the highest common factor of 274 and 26942283? 137 What is the highest common divisor of 3595280 and 176? 16 What is the highest common divisor of 60 and 7024188? 12 What is the greatest common factor of 2725569 and 79971? 1311 Calculate the greatest common divisor of 213350 and 642560. 2510 What is the greatest common factor of 867 and 399569955? 867 Calculate the highest common factor of 11772 and 1569818. 218 What is the highest common factor of 22232 and 1854832? 56 What is the highest common divisor of 410 and 3306110? 10 Calculate the highest common factor of 12766552 and 8. 8 Calculate the highest common divisor of 1126957 and 377. 13 What is the highest common divisor of 25986 and 7897914? 366 What is the greatest common factor of 10122016 and 592? 592 What is the greatest common factor of 1505 and 29862035? 35 Calculate the greatest common factor of 9275402 and 642. 214 What is the highest common factor of 9943 and 318665? 163 What is the highest common divisor of 6361095 and 195? 195 What is the highest common factor of 1649976 and 9096? 24 Calculate the highest common divisor of 12034 and 1120256. 1094 Calculate the greatest common divisor of 360 and 60004260. 180 Calculate the highest common factor of 89067919 and 29836. 7459 Calculate the highest common factor of 35149392 and 19. 19 What is the highest common divisor of 23646 and 8820? 42 Calculate the greatest common factor of 2156 and 3432583. 77 What is the greatest common divisor of 27009541 and 13828? 3457 Calculate the greatest common divisor of 3318 and 205425122. 1106 Calculate the greatest common factor of 12 and 51787506. 6 Calculate the greatest common factor of 1063985 and 221. 13 What is the greatest common divisor of 603698 and 10? 2 What is the greatest common factor of 252 and 29772540? 252 What is the highest common divisor of 292572 and 224245? 301 What is the greatest common factor of 20524 and 11983084? 2932 What is the greatest common divisor of 4 and 6604826? 2 Calculate the highest common factor of 71450 and 18500. 50 Calculate the highest common factor of 1250 and 161579500. 250 What is the greatest common divisor of 96 and 7933720? 8 What is the highest common factor of 131815040 and 8960? 4480 Calculate the highest common factor of 1628 and 3846298. 74 Calculate the highest common divisor of 23227748 and 6. 2 Calculate the greatest common factor of 6258 and 98654092. 298 What is the highest common divisor of 19629425 and 5? 5 Calculate the greatest common factor of 809219 and 67497. 149 What is the greatest common factor of 2936 and 42481718? 734 What is the greatest common divisor of 16698 and 47792712? 1518 Calculate the greatest common factor of 312521 and 112739. 11 Calculate the greatest common divisor of 7620 and 237157260. 7620 Calculate the greatest common divisor of 649 and 1498246. 59 What is the highest common divisor of 134572 and 8505742? 3958 Calculate the highest common divisor of 18285304 and 4540. 908 What is the highest common divisor of 255 and 1242291? 3 What is the greatest common factor of 83587176 and 72? 72 What is the greatest common factor of 146428730 and 490? 70 What is the greatest common divisor of 130414336 and 23933? 3419 What is the greatest common factor of 546706949 and 61? 61 Calculate the greatest common divisor of 211 and 1982153623. 211 What is the greatest common divisor of 6 and 5577159? 3 What is the highest common divisor of 180 and 2585610? 90 Calculate the greatest common factor of 119861 and 301. 7 Calculate the greatest common factor of 3014 and 257994. 22 What is the greatest common divisor of 102737745 and 27? 9 What is the highest common factor of 122553 and 315560358? 13617 Calculate the greatest common divisor of 3000731 and 5. 1 Calculate the greatest common divisor of 7424252 and 34100. 1364 What is the highest common divisor of 334944 and 373323? 3489 What is the highest common divisor of 1020 and 18548688? 12 Calculate the greatest common factor of 5529060 and 4374. 162 Calculate the greatest common divisor of 17 and 109167251. 17 Calculate the highest common divisor of 990 and 20833692. 66 What is the highest common factor of 40053846 and 171136? 2674 What is the greatest common divisor of 286 and 28607059? 13 What is the highest common divisor of 2696972 and 3556? 508 Calculate the greatest common factor of 1708 and 116571. 427 What is the highest common divisor of 84 and 130193028? 84 What is the highest common divisor of 452970 and 89040? 210 What is the greatest common divisor of 8800 and 29915? 5 What is the greatest common divisor of 4185667 and 51523? 769 Calculate the greatest common factor of 24282891 and 27. 9 What is the greatest common divisor of 65218639 and 92? 23 Calculate the highest common factor of 9 and 428941. 1 Calculate the greatest common factor of 29069925 and 10053. 3351 What is the highest common divisor of 1713021 and 14022? 2337 What is the highest common divisor of 65183604 and 1083? 1083 Calculate the greatest common divisor of 28475205 and 517. 11 What is the highest common factor
{ "pile_set_name": "DM Mathematics" }
4 + 4*l**3 + 3*l**2 - 459*l + 2? 552*l + 24 Find the second derivative of -4*b**2*y**2 + b**2 - 15*b*y**3 + 2*b*y - y**3 + 307 wrt y. -8*b**2 - 90*b*y - 6*y What is the second derivative of 477*a*h**2*s - 89*a*h + 5*a*s - h*s wrt h? 954*a*s Find the second derivative of -17*c*q**3 + c*q**2 + c*q - c - 12*q**3 + 962 wrt q. -102*c*q + 2*c - 72*q Find the third derivative of -g*s*w*z**2 - 70*g*s*z**3 - 2*g*s*z**2 + g*w*z - 111*s*w**2 + 3*s*w*z + 16*w**2*z**3 wrt z. -420*g*s + 96*w**2 Find the second derivative of -107*i**2*m - 3*i**2*n - 4*i*m*n + i*n - 55*m wrt i. -214*m - 6*n What is the second derivative of -2*n*z**2 + 530*n*z + 465*z**2 wrt z? -4*n + 930 What is the second derivative of -q**3*w**4 + 213*q**3*w**3 - q**3*w + 98*q**3 wrt w? -12*q**3*w**2 + 1278*q**3*w Find the second derivative of 3*n**3*w*z**2 + 16*n**3*w - 22*n**2*w*z**2 + 2*n**2*z - w wrt z. 6*n**3*w - 44*n**2*w Differentiate 8*f*l**2 - 4*f*l - 112*f + l**2 + 45*l + 41 with respect to l. 16*f*l - 4*f + 2*l + 45 Find the second derivative of 2*z**5 - 60*z**2 - z + 1194. 40*z**3 - 120 What is the second derivative of 5*g**5 - 1785*g**3 + 2281*g wrt g? 100*g**3 - 10710*g Find the second derivative of -94*i**3*n**2 + 5*i**3*n + 13*i**3 + 2*n**2 wrt n. -188*i**3 + 4 Find the second derivative of 2*n**4 + 148*n**3 - 10*n**2 + 3*n + 2290 wrt n. 24*n**2 + 888*n - 20 Find the second derivative of -70*g**2*k**2 + 81*g**2 + 245*g*k**2 + k**2 - 2 wrt g. -140*k**2 + 162 What is the third derivative of -93*f**5 + 77*f**4 + 16701*f**2 wrt f? -5580*f**2 + 1848*f What is the second derivative of -959*s**2 + 534*s? -1918 What is the third derivative of -3*p**6 + 1359*p**4 - 3*p**2 - 2*p + 41 wrt p? -360*p**3 + 32616*p Differentiate 27*s**2*y + 34*s**2 + 3*y - 3 wrt y. 27*s**2 + 3 What is the derivative of 3575*m**4 + 697? 14300*m**3 Find the second derivative of -232*b*m**4 + 6*b*m**3 - 3*b*m - m**3 - 55*m + 3 wrt m. -2784*b*m**2 + 36*b*m - 6*m What is the derivative of -127*r - 44 wrt r? -127 Find the second derivative of 2*g**5 - 2908*g**4 - 678*g + 3. 40*g**3 - 34896*g**2 What is the second derivative of o*r**2*w**2 - 2*o*w**2 + 39*o*w - 2*r**2*w + 11*w**2 + w + 2 wrt w? 2*o*r**2 - 4*o + 22 What is the derivative of -29*n**2*t + n**2 + 3*n*t - 2*n + 4765*t wrt n? -58*n*t + 2*n + 3*t - 2 Find the second derivative of 9*m**3 + m**2 + 10*m + 2 wrt m. 54*m + 2 What is the first derivative of -41*n**4 + 112*n**3 + 7259? -164*n**3 + 336*n**2 What is the second derivative of -798*i**2*t**3 + 340*i**2*t wrt t? -4788*i**2*t What is the second derivative of 40*t**4 + 2*t**2 - 1462*t wrt t? 480*t**2 + 4 Find the third derivative of -7*a**5*w + 14*a**3*w**3 + a**2*w**3 - 545*a**2 - a wrt a. -420*a**2*w + 84*w**3 Find the third derivative of -5*s*z**4 + 59*s*z**3 + 18*s*z - 2*s + 2*z**4 + 7*z**2 wrt z. -120*s*z + 354*s + 48*z Find the second derivative of 2*k**5 - 6*k**3 + 467*k. 40*k**3 - 36*k What is the derivative of m*t*z**2 - 2*m*t - 5*m*z + 15*t*z**2 - 776*t wrt z? 2*m*t*z - 5*m + 30*t*z Find the second derivative of -296*d**2*o**2*s - 201*d*o**2*s + 2*o**2 + o*s wrt d. -592*o**2*s What is the second derivative of g*k**2*l**2 - 13*g*k*l**2 - 4*g*k*l + 29*g*l - 28*k**2*l**2 + k**2*l - 2*k*l wrt l? 2*g*k**2 - 26*g*k - 56*k**2 Find the second derivative of 2*d*f**2*q*z + d*f**2*q + d*f*q*z - 2*d*f*z**2 - 3*d*f*z + 73*f**2*q*z**2 + 18*f - 3*q*z**2 - 2*z**2 wrt z. -4*d*f + 146*f**2*q - 6*q - 4 What is the third derivative of 25*u**2*z**4 + 323*u**2*z**2 - u*z**3 - z**4 wrt z? 600*u**2*z - 6*u - 24*z What is the first derivative of 3*a**2*m**3*v**2 - 6*a**2*s*v**2 - 2*a*m**3*v**2 + 39*a*m**2 - 38*m**3*s*v**2 - m**3*v wrt s? -6*a**2*v**2 - 38*m**3*v**2 Differentiate 324*t**3 - 260. 972*t**2 Find the third derivative of -8301*t**4 - t**2 - 49*t. -199224*t What is the first derivative of -a**2*o + 2*a**2 - 127*a*o + 309 wrt o? -a**2 - 127*a What is the second derivative of 14*t**2 - 2*t - 12? 28 Find the first derivative of 531*v + 3808. 531 Find the first derivative of 8*j**3 + j - 221 wrt j. 24*j**2 + 1 What is the derivative of -4*r**3*t - 696*r**3 + 3*r**2*t**2 + t**2 wrt t? -4*r**3 + 6*r**2*t + 2*t What is the derivative of 88*g**2*z**3 + 1299*g**2 - 3*g*z**2 + 3*z**3 wrt z? 264*g**2*z**2 - 6*g*z + 9*z**2 What is the derivative of -100*d**3*u**2 - 2*d**3*u + 190*d**3 + d**2 + 2*d*u**2 - 11*d wrt u? -200*d**3*u - 2*d**3 + 4*d*u Find the second derivative of -20539*c**3 - 1840*c wrt c. -123234*c What is the third derivative of 149*x**5 - 21*x**2 - 1? 8940*x**2 What is the derivative of -2432*d - 5078? -2432 Find the second derivative of -4344*l**2 + 8561*l wrt l. -8688 Find the third derivative of 246*o**4*s*x + 3*o**3*s + 16*o**2*x - 14*o*s wrt o. 5904*o*s*x + 18*s What is the third derivative of -2*b**4*k**3 - 2002*b**4 + 154*b**2*k**3 + 2*b**2*k**2 + 6*b*k**3 wrt b? -48*b*k**3 - 48048*b Find the second derivative of 10486*m**2 + 9120*m wrt m. 20972 Find the second derivative of c**2*m**3 + 38*c**2*m + 10*c*m**3 + c*m**2 - m**3 wrt c. 2*m**3 + 76*m What is the third derivative of -2*j*l**4*p - 302*j*l**3*p + j*l*p - 24*j*p - l**2 wrt l? -48*j*l*p - 1812*j*p Find the first derivative of 404*i**4 - 2*i - 973. 1616*i**3 - 2 What is the second derivative of -5422*d**3 - 14805*d? -32532*d Find the second derivative of 39*g**3*w**2 - 15*g**3 - 3*g*w**2 + 417*g*w wrt g. 234*g*w**2 - 90*g What is the second derivative of -23*t**2 + 59*t wrt t? -46 What is the second derivative of -84*k**3 - k**2 + 427*k? -504*k - 2 Find the third derivative of -2*q*z**3 - 235*q - 1938*z**3 - 2*z**2 wrt z. -12*q - 11628 What is the third derivative of -8*d*p**3 - 3*d*p + d*z**2 - p**3*u**2 - 32*p**3*z**2 - 3*p**2*u**2*z**2 + 25*p**2*u - p*u**2 wrt p? -48*d - 6*u**2 - 192*z**2 What is the second derivative of -235*s**4 - s**3 + 599*s? -2820*s**2 - 6*s Differentiate 82*w**3*y - 15*w**2*y**2 + 21*y**2 - 14*y + 1 wrt w. 246*w**2*y - 30*w*y**2 What is the third derivative of 151*c**2*y**3 - 263*c**2*y**2 wrt y? 906*c**2 What is the first derivative of 8*f*g*k**2 - 664*f*g*k + f*k + 470*k**2 wrt g? 8*f*k**2 - 664*f*k Find the second derivative of 8*j**3*w**3 - 565*j**3 - j*w**3 + 8*j*w**2 - 16*j*w - 1 wrt j. 48*j*w**3 - 3390*j What is the second derivative of 3862*x**5 + 1714*x? 77240*x**3 Find the second derivative of 121*b**2*g**2 - 218*b**2*g + g**2 wrt g. 242*b**2 + 2 Find the second derivative of 2*a**3*g**3 - 37*a**3*g + a**3 - 421*g**4 wrt g. 12*a**3*g - 5052*g**2 What is the derivative of 3151*f + 8188 wrt f? 3151 What is the second derivative of 18723*f**2*l**2 + 2826*f**2 + f*l - 2*f - l**2 + 2*l wrt l? 37446*f**2 - 2 Differentiate -179*b**3 - b**2 + 47. -537*b**2 - 2*b What is the second derivative of a*c**5 - 2*a*c**3 - a*c + 106*a - 334*c**5 - c wrt c? 20*a*c**3 - 12*a*c - 6680*c**3 Find the third derivative of -4113*a**3 + 18*a**2 + 37 wrt a. -24678 Differentiate -8207*a**2 - 4544 wrt a. -16414*a What is the derivative of -625*n**3 - 3792 wrt n? -1875*n**2 What is the second derivative of j**4 + 472*j**3 + 412*j? 12*j**2 + 2832*j What is the second derivative of -276*c**2*l**3 + 4*c**2 - 3*c*l**3 - 5*c*l**2 + 3*c + l wrt c? -552*l**3 + 8 Find the second derivative of 2241*y**4 - 1537*y wrt y. 26892*y**2 Find the second derivative of 136*x**2 + x + 104 wrt x. 272 What is the third derivative of -10961*m**6 - 48*m**2 - 18*m + 6 wrt m? -1315320*m**3 Find the third derivative of 566*i**3*m**2 + 2*i**2*m**2 + 11*i*m**2 wrt i. 3396*m**2 What is the first derivative of -86*c*v**3 + 15*c*v - 2417*c + 2 wrt v? -258*c*v**2 + 15*c Find the first derivative of -3*s**3*z**2 - 22*s**2*z**2 + s - 85*z**2 wrt s. -9*s**2*z**2 - 44*s*z**2 + 1 Find the second derivative of 2*i**2*j**3 + 3*i**2*j**2 + 2*i**2*j + 4*i*j**3 + 2*i*j + 19 wrt j. 12*i**2*j + 6*i**2 + 24*i*j What is the second derivative of -5*n**4 + 2*n**3 + n**2 - 34*n + 70 wrt n? -60*n**2 + 12*n + 2 What is the second derivative of 1331*b**2 - 371*b? 2662 What is the first derivative of 23*b**2*i**3*o - 4*b**2*i**3 + b**2*o - 2*i**3 + i**2*o + 6 wrt o? 23*b**2*i**3 + b**2 + i**2 What is the first derivative of 557*j**2 - 130? 1114*j Differentiate -2*n**2 - 50*n - 6243 with respect to n. -4*n - 50 Find the second derivative of 8*c**3*w**5 + c**3*w - 3*c**3 + c**2*w**5 -
{ "pile_set_name": "DM Mathematics" }
) - sqrt(91))/sqrt(7)*3. 18*sqrt(13) Simplify (1*(sqrt(1216) - sqrt(19)) + sqrt(19) - (sqrt(95)*1)/sqrt(5))**2. 931 Simplify (2*sqrt(99)*-3)/(-5*sqrt(441) + sqrt(9)). 3*sqrt(11)/17 Simplify 4*(sqrt(13) + -1 + -2 - (sqrt(1053) + sqrt(1053)*2 + sqrt(13))). -108*sqrt(13) - 12 Simplify -2 + sqrt(51)/sqrt(3) - (sqrt(51)/(sqrt(12)/sqrt(4)))**2. -19 + sqrt(17) Simplify (4*sqrt(396))/(sqrt(400)*2)*-3. -9*sqrt(11)/5 Simplify (2*sqrt(24)*-2)/sqrt(8). -4*sqrt(3) Simplify (-1 + sqrt(2268))*2. -2 + 36*sqrt(7) Simplify -6*(3 + sqrt(2))*6. -108 - 36*sqrt(2) Simplify (-4*(2*sqrt(110) - sqrt(110)))/(1*sqrt(1000)). -2*sqrt(11)/5 Simplify (4*(-1 + sqrt(175)) + 1)**2. -120*sqrt(7) + 2809 Simplify (sqrt(108)*-6)/sqrt(4). -18*sqrt(3) Simplify (-2 + sqrt(1539)*-1 + (sqrt(1539) - (sqrt(1539) + 5 + sqrt(1539) + 1 + sqrt(1539)) - sqrt(1539)))**2. 576*sqrt(19) + 24688 Simplify (-1*(sqrt(5) + 1 + sqrt(5))*-3)**2. 36*sqrt(5) + 189 Simplify (1 + -1*sqrt(1584)*3)**2. -72*sqrt(11) + 14257 Simplify (sqrt(750)*3 + sqrt(750))/(sqrt(360) + (sqrt(360) - (sqrt(360) - (sqrt(360)*-3 - sqrt(360)) - sqrt(360))) + sqrt(10)). -20*sqrt(3)/11 Simplify (sqrt(20) - sqrt(980)*-1)/sqrt(640). sqrt(2) Simplify (4 + sqrt(40)/(sqrt(8) + sqrt(72)))**2. 2*sqrt(5) + 261/16 Simplify (sqrt(7623) - sqrt(7623)*-1)/(sqrt(9) - -5*(sqrt(9) + sqrt(36))). 11*sqrt(7)/8 Simplify 0 + (-5 + sqrt(2736) - sqrt(2736)). -5 Simplify sqrt(33)/(3*(sqrt(99) - sqrt(11))). sqrt(3)/6 Simplify (-6*-2*sqrt(17) + (sqrt(68)*-1 - sqrt(68)))**2. 1088 Simplify sqrt(200)/sqrt(4) + -5. -5 + 5*sqrt(2) Simplify -1 + 1*2*sqrt(5). -1 + 2*sqrt(5) Simplify 4*(5*(2 + sqrt(5) - sqrt(5))*-6)**2 + -3. 14397 Simplify -6*(sqrt(133) - 4*(sqrt(133)*1 - sqrt(133)))/((2*sqrt(84))/sqrt(12)). -3*sqrt(19) Simplify (3*sqrt(66)/(sqrt(96)*-6))**2. 11/64 Simplify (sqrt(7) + (sqrt(7) - (-3 + sqrt(7)*-1)))*-1. -3*sqrt(7) - 3 Simplify -3 + sqrt(847) + -3. -6 + 11*sqrt(7) Simplify 1 + (sqrt(1088) + -2*sqrt(1088))**2. 1089 Simplify ((sqrt(5) + -3)*-4)**2*-5. -1120 + 480*sqrt(5) Simplify (sqrt(56)/(-1*sqrt(8)) + 4)*-5. -20 + 5*sqrt(7) Simplify -3 + sqrt(7) + -5 + (sqrt(112))**2 + sqrt(7) + 3. 2*sqrt(7) + 107 Simplify sqrt(1584) + sqrt(1584)*1 + -4 - sqrt(22)/sqrt(450). -4 + 359*sqrt(11)/15 Simplify (-5*(sqrt(147)*1 + sqrt(147) - sqrt(147)) - -2*2*sqrt(147))**2 + -3. 144 Simplify (1 + 2*sqrt(612))**2. 24*sqrt(17) + 2449 Simplify -2*(-5 + 5*sqrt(7))*5. -50*sqrt(7) + 50 Simplify -5 + 3 + 1*sqrt(117) + -4. -6 + 3*sqrt(13) Simplify (sqrt(117)*1)**2*-3. -351 Simplify -2*((3*sqrt(187)*-2)/sqrt(11))**2. -1224 Simplify sqrt(1872)*5 + 5 + 0. 5 + 60*sqrt(13) Simplify (-4 + sqrt(2736) + 1)*4. -12 + 48*sqrt(19) Simplify (sqrt(171) + 0)**2*6*1. 1026 Simplify -1 + sqrt(1008) + 5. 4 + 12*sqrt(7) Simplify (sqrt(39) + sqrt(273)/sqrt(63))/(sqrt(3) - sqrt(9)/(-1*sqrt(3))). 2*sqrt(13)/3 Simplify 2*(sqrt(2) + -2) - (5*sqrt(50) + sqrt(2)). -24*sqrt(2) - 4 Simplify sqrt(21)/sqrt(7) + 0 - (sqrt(33)/(sqrt(33)/sqrt(3)) - sqrt(3)). sqrt(3) Simplify (((sqrt(110) - (sqrt(110) - (sqrt(110)*1 + sqrt(110))))*1 + sqrt(110))/sqrt(10) + 0)**2. 99 Simplify 6*(2 + sqrt(13))**2 + 5. 24*sqrt(13) + 107 Simplify (5 + 2*sqrt(396) - (0 + sqrt(44) + -4))**2. 180*sqrt(11) + 1181 Simplify (sqrt(931) + 1*sqrt(931)*4)**2*2. 46550 Simplify (((sqrt(220)*-2)/sqrt(11))/(sqrt(20)/sqrt(20)))**2. 80 Simplify 2*sqrt(12) + -4. -4 + 4*sqrt(3) Simplify -6*-2*(sqrt(275) + 2). 24 + 60*sqrt(11) Simplify sqrt(65)/(4*(sqrt(5) - -2*sqrt(5))). sqrt(13)/12 Simplify 4*((-1*sqrt(525) + sqrt(525) + sqrt(21))/sqrt(3))**2. 28 Simplify sqrt(143)/(sqrt(66)/sqrt(6)*-6). -sqrt(13)/6 Simplify 6*(sqrt(3) - ((sqrt(72)/sqrt(3) + sqrt(24))/sqrt(8) + sqrt(3))) + -1 + 0 + sqrt(243). -3*sqrt(3) - 1 Simplify 5*(sqrt(13)*-3 + 2 + 1). -15*sqrt(13) + 15 Simplify -3*sqrt(931)*-1 + sqrt(931) + sqrt(931) + 0 + 5. 5 + 35*sqrt(19) Simplify ((2*(2*sqrt(3) + sqrt(3)) - (-2 + sqrt(6)/sqrt(2)))*-2)**2. 80*sqrt(3) + 316 Simplify ((3 + sqrt(128) + 0)**2 - sqrt(128)) + sqrt(128) + 3. 48*sqrt(2) + 140 Simplify -1 + (sqrt(91)/(sqrt(21)/sqrt(3) + sqrt(7)))**2. 9/4 Simplify (-2*sqrt(88)*3 + sqrt(88) - sqrt(88))/(-2*sqrt(288)). sqrt(11)/2 Simplify (6*sqrt(125) - sqrt(5))**2 + (sqrt(5) - sqrt(40)/sqrt(8)*-5). 6*sqrt(5) + 4205 Simplify ((1*2*sqrt(77))/sqrt(7))**2. 44 Simplify (-1*sqrt(325)*6 + -3)**2. 180*sqrt(13) + 11709 Simplify 1*-2*(sqrt(9)/(sqrt(9)/sqrt(3)) + sqrt(3) + -2). -4*sqrt(3) + 4 Simplify (4 + 1*sqrt(2736))**2. 96*sqrt(19) + 2752 Simplify sqrt(14)/sqrt(252) - ((sqrt(4)/sqrt(2))**2 + 4). -6 + sqrt(2)/6 Simplify 5 + (-1*sqrt(190))/sqrt(10) + sqrt(57)/(sqrt(3) - -1*sqrt(3)). -sqrt(19)/2 + 5 Simplify (sqrt(162) + 1 + -5)**2 + (sqrt(162)*-1 - sqrt(162)) + 3. -90*sqrt(2) + 181 Simplify 5*1*sqrt(208). 20*sqrt(13) Simplify (-5*(sqrt(228) - (sqrt(228) + (1*sqrt(228) - sqrt(228)))))/(1*sqrt(768)). 0 Simplify sqrt(704) + (sqrt(704) + (sqrt(704) + sqrt(704)*-1 + sqrt(704) + 2 - sqrt(704)))**2 + sqrt(704). 48*sqrt(11) + 708 Simplify (sqrt(10) + (sqrt(100)*2)/sqrt(10))/sqrt(2). 3*sqrt(5) Simplify sqrt(12)/(sqrt(36)/(sqrt(54) - sqrt(6))). 2*sqrt(2) Simplify 4*4*(2*(sqrt(11) + sqrt(11) + 1))**2. 256*sqrt(11) + 2880 Simplify ((sqrt(209)*1 + sqrt(209))*1)/((sqrt(66)/sqrt(2))/sqrt(3)). 2*sqrt(19) Simplify ((sqrt(168)*1 + sqrt(168) - sqrt(168))*1)/sqrt(6). 2*sqrt(7) Simplify ((-1*sqrt(64))/sqrt(4))/(2*sqrt(32)). -sqrt(2)/4 Simplify sqrt(56)/(-6*(sqrt(24)/sqrt(3) + sqrt(8)) + sqrt(8)). -sqrt(7)/11 Simplify (0 + sqrt(6)/sqrt(27))**2. 2/9 Simplify (sqrt(100) - 3*sqrt(100))/(sqrt(5) + 1*-2*sqrt(5)). 4*sqrt(5) Simplify 5*(-1 + sqrt(20))**2. -20*sqrt(5) + 105 Simplify (sqrt(13) + 2)*-5 + 3 + sqrt(65)/sqrt(5). -4*sqrt(13) - 7 Simplify -2 + (sqrt(19) - 2*sqrt(19)) - ((sqrt(76))**2 + 1). -79 - sqrt(19) Simplify -4 + (sqrt(425) + -3)**2. -30*sqrt(17) + 430 Simplify sqrt(99) + -5 + sqrt(11) + -4 + (sqrt(11)*2)**2. 4*sqrt(11) + 35 Simplify -2*sqrt(117)*3 + (sqrt(117)*2*-4)**2 + sqrt(117). -15*sqrt(13) + 7488 Simplify (sqrt(288)*-2 + sqrt(2) - (sqrt(2) - sqrt(128)*-3))**2. 4608 Simplify ((-1*sqrt(228) + sqrt(228))*5)/(sqrt(96)/sqrt(128) + sqrt(12)). 0 Simplify -1 + (sqrt(17) - sqrt(612)) + 0. -5*sqrt(17) - 1 Simplify 3*(-6*(sqrt(45))**2 - (1*sqrt(605))**2). -2625 Simplify (sqrt(68) + (2*sqrt(68) - sqrt(68))*-4)/(sqrt(196) - (sqrt(196) + sqrt(196)*1 + sqrt(196))). 3*sqrt(17)/14 Simplify 3 + 1*sqrt(72). 3 + 6*sqrt(2) Simplify 2*sqrt(180) + (sqrt(5)*-2 - sqrt(5)) + 4. 4 + 9*sqrt(5) Simplify sqrt(20)/(-2*sqrt(16)/sqrt(4)). -sqrt(5)/2 Simplify sqrt(4)/(sqrt(162)*-4). -sqrt(2)/36 Simplify (sqrt(132)/(sqrt(12) + (sqrt(1452) - (5*sqrt(1452) + sqrt(1452)))))**2. 11/2916 Simplify sqrt(833) + sqrt(833)*3*-5. -98*sqrt(17) Simplify (1*sqrt(4131))/(sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108)*2). 3*sqrt(17)/10 Simplify (3*sqrt(2736)*-1 - (-1*sqrt(2736) + -3))**2. -144*sqrt(19) + 10953 Simplify (-1 + -1*sqrt(99))**2. 6*sqrt(11) + 100 Simplify (2*sqrt(96))/sqrt(12). 4*sqrt(2) Simplify 1*(4 + sqrt(2299))**2. 88*sqrt(19) + 2315 Simplify (-2*sqrt(272)*3)**2. 9792 Simplify -2 + sqrt(192) - -4*sqrt(432). -2 + 56*sqrt(3) Simplify -5 + sqrt(50)/(sqrt(80)/sqrt(8) + sqrt(10)). -5 + sqrt(5)/2 Simplify 3 + (sqrt(99)*-1)**2. 102 Simplify 3 + sqrt(684) + 1 + -2. 2 + 6*sqrt(19) Simplify (((-3*sqrt(65) + sqrt(65))*-4)/(sqrt(30)/(sqrt(24)/sqrt(4))))**2. 832 Simplify (sqrt(180) + (sqrt(180) - (sqrt(180) + -1 + sqrt(180) + sqrt(180))**2) + 1)*-1. -48*sqrt(5) + 1620 Simplify -4*((-5*-2*sqrt(7))**2 + 3). -2812 Simplify (0 + (sqrt(11) + -1)**2 - (sqrt(22)/sqrt(2) + -5)) + 4. -3*sqrt(11) + 21 Simplify -2 + -1*sqrt(7) - (sqrt(7) + sqrt(252)). -8*sqrt(7) - 2 Simplify -3 + sqrt(5) + -4 + sqrt(125)*5. -7 + 26*sqrt(5) Simplify -3*(sqrt(300) + (sqrt(300) - (sqrt(300) + -4) - sqrt(300)))**2. -48 Simplify (sqrt(684)*-2)**2 + 4 + (sqrt(19)*3 - sqrt(19)). 2*sqrt(19) + 2740 Simplify (sqrt(192) + -1)**2*4 + -1. -64*sqrt(3) + 771 Simplify (-3*sqrt(112) + -4)**2. 96*sqrt(7) + 1024 Simplify (sqrt(13) - (sqrt(13) - (sqrt(416)/sqrt(2) + sqrt(13))))**2 - -3*sqrt(325). 15*sqrt(13) + 325 Simplify sqrt(343)*1 - sqrt(77)/(sqrt(11)*3). 20*sqrt(7)/3 Simplify (sqrt(76) - (sqrt(76) + -2*sqrt(76))) + 4. 4 + 4*sqrt(19) Simplify (sqrt(68) - ((sqrt(68) - (sqrt(68) + sqrt(68) + 1*sqrt(68) - sqrt(68) - sqrt(68)))*6 - sqrt(68)))/(sqrt(28)/sqrt(28))
{ "pile_set_name": "DM Mathematics" }
m - 2*m**2 - 59273*m - 2*m**3 + 2*m**2. 2*m**3 - 82*m Collect the terms in -20*b + 4*b + 13*b - 15571 + 15599. -3*b + 28 Collect the terms in -2 + 0*t**2 + 14*t**2 + 121455646*t - 121455646*t - 8*t**2. 6*t**2 - 2 Collect the terms in 156 + 98 - 254 + 1808*v**2. 1808*v**2 Collect the terms in 4*w - 140 - 2*w + 361 - 118 - 103. 2*w Collect the terms in -4 - 4 - 12553*n + 12542*n. -11*n - 8 Collect the terms in 94 + 86 + 332 - 5*r - 607 + 95. -5*r Collect the terms in -224646*z + 442236*z + 332665*z + 108359*z. 658614*z Collect the terms in -527*v**3 - 1631*v**3 + 2127*v**3. -31*v**3 Collect the terms in -60 + 122 - 62 + 945*n**3 - 1067*n**3. -122*n**3 Collect the terms in -202625*y - 201219*y + 606448*y - 202617*y. -13*y Collect the terms in 4*x**2 + 11438592*x**3 - 4*x**2. 11438592*x**3 Collect the terms in -12761111*l - 12761118*l - 12761112*l + 38283343*l. 2*l Collect the terms in -118713*k + 25529*k - 59123*k. -152307*k Collect the terms in 296*t + 111*t - 667*t + 146*t + 9*t**2 + 114*t. 9*t**2 Collect the terms in 11 - 75526*i**3 - 75492*i**3 - 11 + 151022*i**3. 4*i**3 Collect the terms in 6 + 56*x**3 + 370*x**3 - 2637*x**3 - 6. -2211*x**3 Collect the terms in 488*i**2 - 3*i + 364*i**2 + 302*i**2 - 157*i**2. 997*i**2 - 3*i Collect the terms in -4*t**2 + 13*t**2 + 16070626995*t + 13*t**2 - 16070626995*t. 22*t**2 Collect the terms in -4*t**2 + 6*t**3 - t**3 + 7*t**3 - 4*t**2 - 10*t**3 + 8932. 2*t**3 - 8*t**2 + 8932 Collect the terms in -20966*f + 161646*f - 70340*f + f**2 - 70340*f. f**2 Collect the terms in 26*s**2 - 42961 - 29*s**2 + 42959. -3*s**2 - 2 Collect the terms in 38*a**3 - 33*a**3 - 25*a**3 + 62*a**3. 42*a**3 Collect the terms in 206*x - 543*x - x**2 - 228*x. -x**2 - 565*x Collect the terms in -16309*v - 103*v**3 + 8150*v + 8159*v + 246*v**3. 143*v**3 Collect the terms in 15 - 4 - 149631*u + 149633*u. 2*u + 11 Collect the terms in 47 + 7919*r**3 + 85 - 132. 7919*r**3 Collect the terms in -55*r + 370*r - 56*r - 32*r - 60*r - 59*r - 50*r. 58*r Collect the terms in 11*d**2 - 226*d**2 + 16*d**2 + 160*d**2 + 9*d**2 + 19*d**2. -11*d**2 Collect the terms in 137101786*p**3 - 68550871*p**3 - 68550914*p**3. p**3 Collect the terms in -7759*d - 50570*d**2 + 7759*d + 50591*d**2 - 2*d**3. -2*d**3 + 21*d**2 Collect the terms in 53*a**2 - 16*a**2 + a + 16*a**3 - 90*a**2 + 10*a**3. 26*a**3 - 53*a**2 + a Collect the terms in 24*b**2 - 162*b**2 + 128*b**2 + 0*b**2 + 34*b**2. 24*b**2 Collect the terms in 12 - 74794*x + 28 - 40. -74794*x Collect the terms in -82*m**2 - 68589 + 68589 - 166*m**2. -248*m**2 Collect the terms in 2*r + r - 871178 - r. 2*r - 871178 Collect the terms in -7922 + 39723 - 7925 - 7921 - 4*v - 8035 - 7920. -4*v Collect the terms in 25268*k - 73*k**2 - 50442*k + 25174*k. -73*k**2 Collect the terms in -525792*v + 192*v**2 - 525576*v + 1051368*v. 192*v**2 Collect the terms in -13819*u - 5380*u + 4599*u - 2707*u. -17307*u Collect the terms in -1456813*b - 1065703*b - 220676*b. -2743192*b Collect the terms in -12*r - 2*r - 3 + 12*r + 3 + 7*r. 5*r Collect the terms in -11*v - 2*v - 633*v - 146*v + 782*v. -10*v Collect the terms in -354904*f**3 + 710390*f**3 - 355489*f**3. -3*f**3 Collect the terms in 7*j**3 - 694*j**2 - 323*j**2 + 1021*j**2. 7*j**3 + 4*j**2 Collect the terms in 31*h - 6*h + 740863 - 7*h - 16*h. 2*h + 740863 Collect the terms in 4*d + 12 + 10 - 94*d - 36 + 13. -90*d - 1 Collect the terms in 9*j**3 - 704 + 337 + 131 - 4*j**2 + 236 + 4*j**2. 9*j**3 Collect the terms in 1326*i - 6*i - 1311*i. 9*i Collect the terms in -34589*s**2 + 69179*s**2 - 34560*s**2 + 6*s - 6*s. 30*s**2 Collect the terms in 451*q + 436*q + 442*q + 447*q + 445*q - 2225*q. -4*q Collect the terms in 15 - 45 - 57 + 40 - 141*r + 47. -141*r Collect the terms in 1514*p + 495*p + 1055*p + 1162*p. 4226*p Collect the terms in 636*o + 3*o**3 + 1540*o + o**3 + 0*o**2 - 6*o**2. 4*o**3 - 6*o**2 + 2176*o Collect the terms in 8036324697*m + 8036324700*m - 16072649398*m. -m Collect the terms in -11*b - 42*b - 23*b + 108*b - 37*b. -5*b Collect the terms in -t + 24*t**2 - 23*t**2 - 3*t**3 + 3*t**3 - 498295 + 2*t**3. 2*t**3 + t**2 - t - 498295 Collect the terms in -974*o**3 + 2895*o**3 - 18*o + 8334*o**3 + 11*o + 7346*o**3. 17601*o**3 - 7*o Collect the terms in -4490*a**2 + 8819*a + 4488*a**2 - 8820*a. -2*a**2 - a Collect the terms in 740323 - 203*r**2 + 284*r**2 - 81*r**2 + r**3 - 740323. r**3 Collect the terms in -4702*f**2 - 2464257*f + 2464257*f + 1141*f**2. -3561*f**2 Collect the terms in 35 + 312*j**3 + 7*j**2 - 104*j**3 - 206*j**3. 2*j**3 + 7*j**2 + 35 Collect the terms in 8*b**2 - b**2 + 35*b**2 + 11*b**2 + 3*b**2 - 48*b**2. 8*b**2 Collect the terms in 31560*p - 12499*p - 10953*p - 10465*p. -2357*p Collect the terms in 0 + 4 - 5 + 420*w - 434*w. -14*w - 1 Collect the terms in 64584415 - 64584414 - 28*d**2 + 31*d**2. 3*d**2 + 1 Collect the terms in -19*s + 0 - 18*s**2 - 15*s**2 + 1 + 25*s**2 + 8 - 6. -8*s**2 - 19*s + 3 Collect the terms in -6*a**3 + 2544 - 5528 + 2984 - 17*a**3. -23*a**3 Collect the terms in 3*i - 3*i - 3337652*i**3. -3337652*i**3 Collect the terms in -632 - 542 - w**3 - 632 + 2430 - 624. -w**3 Collect the terms in -237*p**3 + 343*p**3 - 47396 + 47396. 106*p**3 Collect the terms in -40640 + 13730 - j**2 + 13469 + 13523. -j**2 + 82 Collect the terms in -2675 + 27402*a**3 + 2675. 27402*a**3 Collect the terms in 6*w**2 - 41*w + 84 + 37*w - 4*w**2 - 84. 2*w**2 - 4*w Collect the terms in -11270 - 11262 + 9*w + 22532. 9*w Collect the terms in 78311*f**3 - 157079*f**3 + 78517*f**3. -251*f**3 Collect the terms in 8*j - 54*j - 275187*j**2 + 275188*j**2. j**2 - 46*j Collect the terms in -10366*p**2 + 7561*p**2 - 15277*p**2. -18082*p**2 Collect the terms in 53374*o + 19 - 39 + 20. 53374*o Collect the terms in 13196*n**3 + 15*n - 2*n**2 - 13178*n**3 + 2*n**2 - 103*n. 18*n**3 - 88*n Collect the terms in -1655*r**3 - 260445 + 520889 - 260443. -1655*r**3 + 1 Collect the terms in -2*z + 787 - 35*z + z + 7*z. -29*z + 787 Collect the terms in 785*g**2 - 157*g**2 - 160*g**2 - 159*g**2 - 149*g**2 - 157*g**2. 3*g**2 Collect the terms in -308*f**2 - 293*f**2 + 1562*f**2 - 318*f**2 - 314*f**2 - 318*f**2. 11*f**2 Collect the terms in -24894*j - 14*j**2 + 24896*j + 26*j**3 + 345 - 345. 26*j**3 - 14*j**2 + 2*j Collect the terms in -11 - 3845*n**3 + 7 + 6 - 88*n**2 - 3843*n**3 + 7690*n**3. 2*n**3 - 88*n**2 + 2 Collect the terms in 2118*l**3 + 9535*l**3 - 11658*l**3. -5*l**3 Collect the terms in 2667*c + 1444*c + 1196141681 - 1196141681. 4111*c Collect the terms in 1193444*f + 2749297*f - 775295*f. 3167446*f Collect the terms in -1 + 4 + 2*z + 5028*z**3 - 37*z**2 + 34*z**2. 5028*z**3 - 3*z**2 + 2*z + 3 Collect the terms in 7724*i**2 + 297*i + 304*i - 7756*i**2 + 333*i - 934*i. -32*i**2 Collect the terms in 3*r**2 + 2734*r**3 - 6699*r**3 - 3*r**2 + 3978*r**3. 13*r**3 Collect the terms in -45675237*m**2 - 2 + 45675213*m**2 + 2. -24*m**2 Collect the terms in -5183844456 - 5*a**3 - a**3 + 5183844456. -6*a**3 Collect the terms in 1 - 86799*o + 86789*o - 3 + 2. -10*o Collect the terms in 12*q - 12*q - 4379*q**3 - 48*q**2 + 48*q**2 + 4501*q**3. 122*q**3 Collect the terms in -48166*g - 100 + 21 + 48169*g. 3*g - 79 Collect the terms in -4 + 4 - 6400*y - 653*y. -7053*y Collect the terms in -1704605*s**3 - 1704600*s**3 - 1704607*s**3 + 6818413*s**3 - 1704606*s**3. -5*s**3 Collect the terms in 1 + 81515*t - 84000*t + 27. -2485*t + 28 Collect the terms in -355904*j**3 + 177928*j**3 + 177796*j**3. -180*j**3 Collect the terms in -13407*u**3 - 2042*u**3 - 8387*u**3 + 1141*u**3 - 11020*u**3. -33715*u**3 Collect the terms in 363808*f + 502165*f + 2094990*f. 2960963*f Collect the terms in -h + 135805*h**3 - 135814*h**3 - h + 4*h + 0*h. -9*h**3 + 2*h Collect the terms in 82*f**3 - 51*f**3 + 10*f + 12*f - 2*f**2. 31*f**3 - 2*f**2 + 22*f Collect the terms in -182216*l - 7443*l**3 + 182216*l. -7443*l**3 Collect the terms in -2 + 1 + 1 - 1144*i**2 - 1110*i**2. -2254*i**2 Collect the terms in 10 + 3*d**3 + 4 - 7814*d - 26 + 5. 3*d**3 - 7814*d - 7 Collect the terms in c**3 + 655*c**2 - 655*c**2 - 155796*c + 155796*c. c**3 Collect the terms in 177311 + 2*v**2 - 2*v**2 - 178*v**3 + 177*v**3. -v**3 + 177311 Collect the terms in -2*a**2 + 93*a**3 - 33*a + 20*a + 20*a. 93*a**3 - 2*a**2 + 7*a Collect
{ "pile_set_name": "DM Mathematics" }
70706 a prime number? False Is 15943 prime? False Is 3691 a prime number? True Is 4909 composite? False Is 439217 prime? True Is 2775937 prime? False Is 39817 composite? True Is 68269 prime? False Is 1889 prime? True Is 265099 a composite number? True Is 10061 composite? False Is 24731 prime? False Is 15441 prime? False Is 2242451 a composite number? True Is 5039 prime? True Is 2911 composite? True Is 58189 a composite number? False Is 611941 composite? True Is 316571 prime? True Is 76091 a composite number? False Is 2846 a prime number? False Is 4553 a composite number? True Is 11969 composite? False Is 204539 prime? False Is 25489 a prime number? False Is 1133459 composite? False Is 44015 composite? True Is 1618849 a composite number? False Is 427361 prime? False Is 4989 prime? False Is 54301 a composite number? True Is 275053 composite? False Is 23423 prime? False Is 743363 prime? True Is 34807 prime? True Is 17117 prime? True Is 347002 a composite number? True Is 26399 a composite number? False Is 865 composite? True Is 16843 prime? True Is 6131 composite? False Is 75181 composite? False Is 744241 a composite number? True Is 46313 a prime number? False Is 74483 a prime number? False Is 418069 prime? True Is 25166 prime? False Is 10421 composite? True Is 1164773 prime? False Is 7711 prime? False Is 297731 a composite number? True Is 18607 a composite number? True Is 110039 composite? False Is 47191 composite? True Is 212797 a prime number? False Is 8465 a prime number? False Is 362333 prime? True Is 3214 composite? True Is 308569 a composite number? False Is 3065 a prime number? False Is 7919 composite? False Is 1259 prime? True Is 280837 composite? False Is 302263 prime? False Is 44747 a prime number? False Is 182167 composite? False Is 5557 a composite number? False Is 107977 a prime number? False Is 728207 prime? True Is 164719 a prime number? False Is 81083 composite? False Is 5331 a composite number? True Is 4073 composite? False Is 316991 a composite number? False Is 64217 a prime number? True Is 629303 a prime number? False Is 6866 a composite number? True Is 162121 a composite number? True Is 75853 a composite number? False Is 26801 composite? False Is 1973 a prime number? True Is 59747 composite? False Is 1812037 a prime number? True Is 20765 prime? False Is 91229 a prime number? True Is 546719 a prime number? True Is 7817 prime? True Is 166999 composite? True Is 3959 prime? False Is 6197 prime? True Is 1739 prime? False Is 116023 composite? True Is 3387 prime? False Is 21787 a composite number? False Is 29789 a prime number? True Is 2867 a composite number? True Is 18677 composite? True Is 13739 composite? True Is 3181 prime? True Is 12583 a composite number? False Is 373447 a composite number? False Is 903857 a composite number? True Is 2459 prime? True Is 3277 composite? True Is 57973 composite? False Is 778733 a prime number? True Is 9201 composite? True Is 61909 prime? True Is 989 prime? False Is 18013 a composite number? False Is 2469 a prime number? False Is 149 prime? True Is 1049 composite? False Is 38507 prime? False Is 815599 a composite number? False Is 402071 a prime number? True Is 21955 a prime number? False Is 99461 prime? False Is 14699 a prime number? True Is 127 prime? True Is 3579527 composite? True Is 35729 prime? True Is 8818 a prime number? False Is 1649 a composite number? True Is 1318 a composite number? True Is 9965 prime? False Is 2053 a composite number? False Is 69073 composite? False Is 67713 a prime number? False Is 35671 a composite number? False Is 7087 a composite number? True Is 41809 composite? False Is 97007 a prime number? True Is 369247 a composite number? False Is 22189 composite? False Is 1645349 a prime number? True Is 115631 prime? True Is 14411 composite? False Is 84243 a prime number? False Is 255817 a composite number? True Is 506251 a prime number? True Is 389479 a prime number? True Is 3241 a composite number? True Is 20469 a prime number? False Is 198811 composite? False Is 4592485 a prime number? False Is 859751 prime? True Is 2198309 prime? True Is 112061 composite? False Is 57983 a prime number? False Is 656953 prime? False Is 735059 prime? False Is 568415 composite? True Is 385557 a prime number? False Is 86311 composite? False Is 53311 prime? False Is 35813 prime? False Is 8053 prime? True Is 7753 composite? False Is 1367 prime? True Is 4583 a composite number? False Is 1643777 a composite number? True Is 913 composite? True Is 35201 a composite number? False Is 122487 a composite number? True Is 6353 composite? False Is 1949 a prime number? True Is 11791 a prime number? False Is 13771 prime? False Is 67627 prime? False Is 110543 composite? False Is 10079 composite? False Is 6269 prime? True Is 324319 prime? True Is 72493 prime? True Is 70289 prime? True Is 925891 prime? True Is 5221 prime? False Is 368681 prime? False Is 108991 prime? True Is 42259 a prime number? False Is 112427 a composite number? True Is 2899 a prime number? False Is 4478 composite? True Is 57161 a composite number? True Is 43943 prime? True Is 9267 a prime number? False Is 340127 a composite number? False Is 1395391 composite? True Is 121039 a composite number? False Is 4049 composite? False Is 183849 a prime number? False Is 110161 a prime number? True Is 251 a composite number? False Is 160757 composite? False Is 121531 a composite number? False Is 127923 a composite number? True Is 54959 composite? False Is 137285 a prime number? False Is 8889 composite? True Is 36589 a prime number? False Is 1639562 prime? False Is 676121 a prime number? False Is 9199 a composite number? False Is 2503 a composite number? False Is 1637 a prime number? True Is 106681 composite? False Is 15719 a prime number? False Is 10589 prime? True Is 47062 a prime number? False Is 34721 a prime number? True Is 962693 prime? False Is 42095 prime? False Is 659819 a prime number? True Is 21767 a composite number? False Is 527201 prime? False Is 488923 prime? False Is 234431 a composite number? False Is 15901 a composite number? False Is 647 prime? True Is 64849 a prime number? True Is 26083 prime? True Is 38917 prime? True Is 227011 prime? True Is 3603 prime? False Is 99377 a composite number? False Is 8926 a prime number? False Is 4705 a prime number? False Is 2230178 composite? True Is 95231 composite? False Is 133459 prime? False Is 81083 a prime number? True Is 93797 composite? True Is 87473 composite? False Is 49331 a prime number? True Is 52265 a prime number? False Is 3833 composite? False Is 94151 prime? True Is 604171 prime? True Is 388477 prime? True Is 1347 a prime number? False Is 1531 prime? True Is 232987 a prime number? True Is 952379 a prime number? True Is 26183 a prime number? True Is 53353 prime? True Is 107221 prime? False Is 126667 a prime number? False Is 58549 composite? False Is 451301 composite? False Is 2579 composite? False Is 27899 a composite number? True Is 848733 composite? True Is 2897 a composite number? False Is 20303 composite? True Is 29519 a prime number? False Is 252803 a composite number? True Is 5129 prime? False Is 136447 prime? True Is 8267 a prime number? False Is 37645 composite? True Is 22769 composite? False Is 136106 a prime number? False Is 294629 composite? False Is 95395 a prime number? False Is 148429 prime? True Is 4045 a composite number? True Is 572701 a prime number? False Is 366623 a composite number? True Is 76771 a prime number? True Is 32869 prime? True Is 203 composite? True Is 74881 a prime number? False Is 11027 a prime number? True Is 239845 a composite number? True Is 19829 prime? False Is 443771 composite? False Is 37831 a composite number? False Is 118817 composite? True Is 125921 a prime number? True Is 444317 a prime number? False Is 83413 a prime number? False Is 405013 prime? False Is 789501 a composite number? True Is 191242 prime? False Is 15017 a composite number? False Is 5099 a composite number? False Is 34621 a composite number? True Is 29897 prime? False Is 1611809 a composite number? False Is 311743 a prime number? True Is 254909 prime? False Is 8254 prime? False Is 661037 a prime number? False Is 247141 a prime number? True Is 16751 a composite number? T
{ "pile_set_name": "DM Mathematics" }
Which is greater: t or p? t Let s(u) = -11*u**3 - u**2 - u - 5. Let j be s(4). Is -729 less than j? False Suppose 0 = -c + 1, 2*q + c - 6*c = -9. Let x be 11/11 - (-46)/(-22). Is q at least x? False Let d = 157.8 - 150. Let j = 7.9 - d. Is -1.45 <= j? True Let y = -286/15 - 53/15. Which is greater: -22 or y? -22 Let l(n) = n + 2. Let h be l(-2). Let z = 340 + -1704/5. Which is smaller: h or z? z Suppose -u - 3*u - 16 = 0. Let f(v) = -2*v**2 - v + 6. Let r be f(u). Let n = 24 + r. Which is smaller: 14/5 or n? n Let f = 0.015 + 3.985. Are f and 16 nonequal? True Let q = -222 - -201. Which is smaller: q or 6? q Suppose -6 = -8*i + 18. Let j(y) = -y - 3. Let t be j(-6). Suppose -3 = -3*u - 3*a, u - t*u = a - i. Which is greater: 4 or u? 4 Let a = 268 + -269. Let c = -0.1 - -0.132. Which is smaller: c or a? a Let j(w) = 24*w - 2. Let l be j(-4). Suppose -28 = -v - 126. Is v smaller than l? False Let f = 580 + -579.9. Let v = 34 + 26. Which is smaller: f or v? f Let s be (-3)/((-9)/3) - 0. Let y be ((-3)/(-10))/((-48)/(-1400)). Let u = y - 1007/116. Which is smaller: s or u? u Let g(k) be the first derivative of -1/2*k**2 + 8 + 5*k. Let b be g(-8). Which is smaller: 1 or b? 1 Let j = 72.29 + -72. Let l = 0.71 + j. Which is greater: 13 or l? 13 Suppose 3*t = -t - n - 48, 0 = -t + 5*n + 9. Let i be t + 14 + (-132)/(-1). Let k be i/99*(-4)/(-10). Which is smaller: k or 0? 0 Let o(d) = 2*d**3 + 2*d + 2. Let v be o(0). Is v smaller than 2? False Let b(q) = -q**3 - 9*q**2 - 7. Suppose -4*l = -3*w - 11, 4*w + 4*l + 28 + 24 = 0. Let s be b(w). Is s smaller than -7? False Suppose t + 3*v = -194, 5*v = 8 - 28. Is -182 > t? False Let w = 38 + -3. Suppose -5*r = 5 - w. Suppose 0 = 3*n - r + 21. Are n and -5 nonequal? False Let i = -253.1 + 253. Which is smaller: 45.6 or i? i Suppose 0 = -0*t - t. Suppose -3*f + 4*c = -0*c - 13, -4*f + 2*c + 14 = 0. Suppose 4 = -2*p - t*p - 2*r, 2 = f*p + r. Is p equal to -3/4? False Let a be (12/5)/3 - (-25)/125. Which is smaller: -8/27 or a? -8/27 Suppose -5*q + 5*t = -7*q + 435, -2*t = 3*q - 625. Which is smaller: q or 206? q Let m be 2/6 - 34/3. Suppose 0 = 3*s + 2*s - 855. Let q be 202/(-18) - (-38)/s. Is m less than q? False Let s be (12/18)/(2/(-3)). Let t be 80/(-41) - (s + -1). Suppose 6*w - w = -5*d - 25, w - d - 5 = 0. Is t <= w? False Let u = 228 + -204. Is 117/5 not equal to u? True Let m = 73.56 + -73.7. Which is smaller: 1 or m? m Suppose 0 = -4*y - 2*l + 72, -4*y + 9 + 79 = -2*l. Which is greater: y or 7? y Suppose 6*j - 59 - 1 = 0. Let i = j - 12. Which is bigger: -7 or i? i Let d = -0.061 + 5.061. Let w = -1.1 - -2.1. Is w >= d? False Let l = -0.03 + 0.03. Let k(t) = -39*t**3 - t**2 - 2*t - 2. Let n be k(-1). Let d be (2 - -2) + n/(-8). Which is greater: d or l? l Let b = -1291 + 1469. Which is smaller: 183 or b? b Let y = -1146 + 683. Which is smaller: -464 or y? -464 Let y be ((-36)/8 + 4)*-62. Let i = -28 + y. Let u be (-12)/i - (-26)/6. Which is bigger: u or 0.1? u Suppose -3*d = 2*m - 13, -25*d + 22*d + 11 = 4*m. Suppose -17 = 4*c + k, -3*c - 4 - 10 = k. Which is smaller: m or c? c Suppose -5*t + 1228 = -3*q, 3*t - 817 = -q + 3*q. Is -401 >= q? True Suppose -36*t + 9 = -33*t. Suppose t*p + 0*n + 12 = 3*n, 2*n - 1 = -5*p. Let h = -187 + 931/5. Which is smaller: p or h? p Let j be ((-6 + 6)/(-8))/(-1). Which is greater: -1/847 or j? j Let u = -22 + 27. Let z(k) = k**3 - 11*k**2 - 44*k + 28. Let w be z(14). Is u > w? True Let a be (-6)/10*3/9. Let t = -0.345 - 26.555. Let i = 27 + t. Is i at least a? True Suppose -1991 = 11*i + 6050. Is -729 smaller than i? False Let c be (91/21 + 0)*(-21)/(-5). Which is smaller: 17 or c? 17 Let o = -155.1 + 155. Which is bigger: 4/9 or o? 4/9 Let f be -2 - (-17 - -11)*(-2)/(-4). Let g be (4/6)/((-20)/186). Let y = g - -227/35. Is f greater than y? True Suppose 11*u - 2 - 9 = 0. Let n be (-4)/18 - (-123)/432. Is n at most u? True Let r(p) be the first derivative of -p**3/3 - 9*p**2/2 - 6*p - 11. Let a be r(-9). Do a and -1 have different values? True Let n = -10 - -13. Let u be n - 2 - (10 + -1). Suppose 2*d = -4*i - 34, 4*i = i + 2*d - 22. Is i at least u? True Suppose q - 8 = -0. Suppose -2*d = -2*o + 10, o = -d - q + 3. Are -2 and o nonequal? True Let h = -86 - -88.22. Is -0.1 greater than or equal to h? False Let l be 1518/(-308) - 9/6. Is l <= -7? False Let s = -22.74 - -22.94. Is 4/365 <= s? True Suppose -5*p - 5*q = -23 - 2, -4*p = -4*q - 44. Let b be (-4)/6*(-36)/p. Suppose 4*f - b - 17 = -2*z, z - f = -5. Which is smaller: -1/5 or z? -1/5 Suppose 10*i + 3 = 13*i. Let l be (0 + -3)*2/(-2). Suppose 0 = -5*z + 4*r + 4, i = l*r - 4*r. Which is bigger: z or -1/9? z Let d = -60464/17 + 3559. Is d <= 2? False Let j = -5 + -9. Let i be (-9)/9 + 24/22. Let x = -9/22 - i. Is j smaller than x? True Let k be (-8)/(-6) - (-672)/(-18). Let b be 8/k - 101/(-9). Are 0 and b equal? False Let f be (0 + (-2)/4)/(4/(-24)). Suppose -f*r + 3 = 0, -3*r = m - 5*r + 4. Which is smaller: m or -3? -3 Let z(k) = k**2 - 8*k + 9. Let m be z(8). Which is smaller: 8 or m? 8 Let y = -125/28 - -19/4. Is 0.06 greater than y? False Let o(j) = -j**3 - 3*j**2 + 15*j + 3. Let p be o(-4). Which is greater: -37 or p? -37 Let z = -1.64 - -1.5. Let g = z + 0.04. Let x be (-130)/39*9/(-5). Which is smaller: x or g? g Let l = 30 - 24. Let c = 12.6 + 3.4. Let a = c - l. Is 0 bigger than a? False Let u(j) = j**3 - 10*j**2 - 14. Let m be u(10). Let y(x) = -x**3 - 15*x**2 - 13*x + 13. Let o be y(m). Is -2/53 > o? True Let n = -407299/289019297 - 2/137171. Which is greater: 1 or n? 1 Let v = -31 - -30. Which is bigger: v or -10/27? -10/27 Suppose -5*r + 4 - 14 = 0. Suppose -b - 7 = -3. Which is greater: b or r? r Let k = 134.1 + -133. Is k bigger than 1/2? True Let p be (-8)/(-10) + (-1 - 1). Let v(b) = -8*b + 12. Let l(y) = 23*y - 37. Let j(m) = 3*l(m) + 8*v(m). Let d be j(3). Which is smaller: d or p? p Let c(x) = x - 3. Let o be c(3). Let u = -893/31 + 29. Which is smaller: u or o? o Suppose 0 = -4*f + 3*f - 5*n - 7, -35 = -4*f + n. Suppose 4*r + 2 = -2*m, -3*r + 2*m + 5 = 3. Is f greater than r? True Let f(g) = 5*g - 3. Let r be f(3). Suppose -r = 8*l - 3*l + d, 3*l - 5*d = -24. Which is smaller: 2 or l? l Let z = 40.818 + 0.182. Let o = -0.8 + 1. Is o less than or equal to z? True Suppose 0*h - h - 52 = 0. Let x be 1 + (-6)/4 + (-14)/h. Is 0 equal to x? False Let o = 1028 - 1027.6. Which is smaller: o or -25? -25 Let n(s) = -s**3 + 163*s - 179*s + 0*s**3 + 16 - 18*s**2. Let a be n(-17). Let v be (-4)/(-14)*(-2)/(-4). Which is smaller: v or a? a Let w = 1730 + -1492. Which is bigger: 239 or w? 239 Let o(r) = -r + 4. Let n be o(2). Let m be -2 - (3 + 34/(-6)). Are m and n equal? False Let z = 101 - 101.2. Which is smaller: z or -155? -155 Let f be (-5)/(-10)*(-10908)/(-90). Which is bigger: f or 61? 61 Suppose 0 = 3853*p - 3843*p + 350. Suppose -5*g - 166 = -3*k - 0*k, 0 = g + 3*k + 44. Do g and p have the same value? True Let k = -144 - -577/4. Which is bigger: 14 or k? 14 Suppose -20 = -5*t, j + 8*t - 7*t + 32 = 0. Let x = -35 - j. Let a = -36 + 110/3. Which is greater: a or x? x Let g(f) = 21*f + 1. Let x(s) = -42*s - 3. Let k(t) = -7*g(t) - 3*x(t). Let u be k(2). Let a be u/(-8)*8/(-110). Is -2 smaller than a? True Let v = 975 - 1015. Is v at most -122/3? False Suppose 5*n - 2*l - 21 - 13 = 0, 3*l = -3*n + 33. Suppose -3*k = -n*k + 170. Let q be -1 + -2 - k/(-10). Are q and -2/5 unequal? True Let d = -13.3 + 3.3. Let i = d - -37. Let s = 16 - i. Which is greater: s or -2/5? -2/5 Let n be 6 - ((-335)/(-65) - -1). Let l = 2 - 1. Is n equal to l? False Let o = 2493261/33155 + -1/6631. Let k be 20*(-2 - (-28)/(-16)). Let r = o + k. Which is smaller: r or 0? 0 Let g be (-7847)/(-1484) + 1 + -4 + -2. Let t = -2/53 + g. Let k be (-15)/12 + 2/8. Is t greater than k? True Let c(f) = -4*f**2 - 11*f + 28. Let m be c(-6). Are m and -5 non-equal? True Let w(k) = -k**3 + 11*k**2 - 13*k + 10. Let b be w(8). Let x = -181/2 + b. Let y = -79/10 + x. Is y < 0.1? True Suppose -3*d - 2*b = -1108, 117*b = 4*d + 113*b - 1484. Is 370 smaller than d? False Let d = 0.01 - -0.11. Let u = d + -0.12. Let t = u - 2. Which is smaller: 1 or t? t Let f = -0.09 - -13.59. Let w = 7.4 - f. Let l = w + 6. Which is smaller: l or 6? l Let r
{ "pile_set_name": "DM Mathematics" }
arrange 137 + 135778*g - 640 - 135776*g to r + y*g and give y. 2 Rearrange (-574 + 352 + 420)*(77*w**3 + 32*w**2 - 40*w**3 - 40*w**3)*(-3*w - w + 3*w) to y*w**2 + z*w + o*w**4 + i*w**3 + g and give o. 594 Express -839*d + 1673*d - 174*d**2 - 834*d - 1270*d**2 in the form x*d**2 + r + z*d and give x. -1444 Express -69*n**2 - 29*n + 19*n - 4 - 10*n**2 + 9*n**2 as w*n + m + f*n**2 and give f. -70 Express 66 + 4*r**3 - 103*r**2 - 8*r**3 + 110*r - 64 + 102*r**2 in the form z*r**3 + w*r**2 + q*r + n and give w. -1 Rearrange -2*k**3 + 821173*k - 1 - 6 + 23*k**2 - 821171*k to t + z*k**3 + r*k + f*k**2 and give t. -7 Rearrange (52 + 502*o - 254*o - 254*o)*(-5 - 1 - 5)*(-3*o + o + o) to l + j*o**2 + v*o and give v. 572 Express -978*y + 6722*y + 1635*y in the form t*y + f and give t. 7379 Rearrange (3474*d + 2254*d - 998*d - 2)*(5 - 1 - 3) to y + a*d and give y. -2 Express 2 - 12*k - 40*k + 10*k**2 + 2*k**3 + 56*k + k**3 in the form c + p*k + r*k**3 + v*k**2 and give c. 2 Rearrange (71 + 634 + 539 + 637 - 322)*((0 - l + 0)*(-2 + 0 + 4) + 31 - 7*l - 31) to u + m*l and give m. -14031 Express 166*m**3 + 174*m**3 + 9*m - 503*m**3 + m**2 + 168*m**3 + 1 in the form j + c*m + z*m**2 + v*m**3 and give z. 1 Express (0 + 0 + 2*s - s**3)*(354*s + 98 - 1123*s - 98) in the form b*s**4 + m + j*s + i*s**3 + p*s**2 and give j. 0 Rearrange 70*c**3 + 89*c**3 + 85*c**3 - 8*c**2 + 56*c**3 to d*c + u + q*c**3 + w*c**2 and give q. 300 Rearrange (-669 + 324 - 445 + 2*l)*(2 + 4 + 3) to i + v*l and give i. -7110 Express 17308*f + 3027*f - 882065 + 882065 as y*f + u and give y. 20335 Rearrange n**2 - 7 + 7 + (n**2 + 0*n**2 - 3*n**2)*(0 - 2 + 1) - 2992 + 2992 + 110*n**2 to k*n + y + p*n**2 and give p. 113 Express 148*u + 2 + 1 - 470*u - 3 in the form x*u + r and give x. -322 Rearrange (-8*g**3 + 9*g - 9*g)*(-456*g + 193*g + 158*g) to the form c*g**2 + a*g**3 + i*g + b*g**4 + o and give b. 840 Express 148*s - 18*s**3 - 39*s**4 + 37*s**4 + 3*s**2 + 13*s - 2*s**2 as h*s**2 + w + v*s**3 + p*s**4 + g*s and give p. -2 Express 75*c**2 - 21*c**2 - 19*c**2 - 5 - 15*c**2 - 26*c**2 as n*c**2 + m + y*c and give y. 0 Express -4*h**4 + 5*h**4 + 0*h**4 - 21*h + h**3 + 2298 - 2301 in the form k*h**2 + r*h + g*h**3 + j*h**4 + v and give v. -3 Rearrange (-2*t + 2*t - t)*(-42 - 44*t - 1370*t + 699*t**2 + 1416*t) to n*t + j*t**2 + k*t**3 + s and give n. 42 Express 1 + 250756*v - 250779*v - 5 in the form l + p*v and give l. -4 Express (-2*r**2 - 2*r**2 + 0*r**2)*(1292 + 178 + 6*r + 8*r + 1006 - 12*r) in the form n + x*r**2 + m*r + v*r**3 and give v. -8 Rearrange -d**2 - 182*d**3 - 59*d**3 - 451*d**3 - 267*d**3 + 0*d**2 to the form m*d + p + o*d**3 + y*d**2 and give y. -1 Express 13*f - 46*f**2 - 12*f - 29*f**2 + 45*f**2 + 45*f in the form d*f + u + q*f**2 and give d. 46 Rearrange (1 - 2 + 0*n**2 + 3*n**2)*(-4436 - 68*n + 4436 + (-n + 0*n + 0*n)*(-2 + 0 + 0)) to l*n**2 + f*n + z*n**3 + u and give z. -198 Express (18 - 13 + 17)*(-j**2 + 2*j**2 + 3*j**2) + (5 - 4*j**2 + 0*j**2 - 8)*(0 + 0 - 1) in the form b*j + z*j**2 + p and give z. 92 Express 792780 + 11*s**3 - s**2 - 2*s**2 - 792069 + 3*s**2 as l*s + k + a*s**2 + w*s**3 and give k. 711 Rearrange (107 + 100 - 204 - 40*t)*(2*t - 3*t + 2*t)*(20*t - 115*t - 3*t) to the form b*t**3 + r + a*t**2 + v*t and give a. -294 Rearrange -45736*z + 45737*z + 2333 - 63 to k + t*z and give k. 2270 Rearrange (-3*p**2 + 2*p**2 + 3*p**2)*(-1938*p - 1947*p - 2526*p**2 + 3887*p) to the form u*p**4 + x*p**2 + b*p**3 + s + v*p and give b. 4 Rearrange (-5*d + d + 3*d)*(6 + 2 + 2)*(113 + 117 - 197)*(3 - 5 + 0) to p + y*d and give y. 660 Express (1 - 5 + 1)*(2 - 3 - 2)*(4*s - 5*s**2 - 4*s)*(67*s - 59*s + 41*s) as j*s**3 + c*s**2 + i + w*s and give j. -2205 Express 205140*b + 1016*b**3 + 1303*b**3 - 205140*b + 3*b**2 in the form h*b**3 + v*b**2 + n + s*b and give v. 3 Express 5*q**4 - 13637*q**2 - 3*q - 9*q**4 - 1 + 3*q**4 + 13646*q**2 - 21*q**3 in the form n*q**2 + b*q + v*q**4 + t*q**3 + g and give t. -21 Express -242 + 595 - 522*t**2 - 352*t**2 - 343 in the form x*t + h*t**2 + g and give x. 0 Express 1420*c**2 + 113 - 677 + 559 in the form r*c + i*c**2 + t and give i. 1420 Rearrange -3*u**3 - 4*u - 7*u**2 - 1188720 + 1188720 + (-u + u**2 + u)*(-3*u - 1 + 1) to s*u**2 + b*u**3 + l*u + x and give b. -6 Rearrange -99565 - 99566 - 22803*k + 199131 to the form a*k + b and give a. -22803 Rearrange 8067*v**2 - 7 + 10 - 6 + 3 to the form f + t*v**2 + i*v and give t. 8067 Express (387*f - 179*f - 90*f)*(-1 - 4*f + f + 5*f) in the form u + j*f + x*f**2 and give x. 236 Express -68*o**2 + 140*o**2 + 88*o**2 + 111*o**2 + 60*o**2 + o as f*o + x*o**2 + k and give x. 331 Rearrange 5 - 5 - 93*p - 1 - 122*p - 3 to the form k + x*p and give x. -215 Express 82*l - 2 - 119*l - 176*l - 51*l in the form w*l + d and give d. -2 Rearrange 700*q**2 - 13 - 364*q**2 - 338*q**2 - 41*q**3 to the form w + g*q**3 + c*q**2 + i*q and give c. -2 Express 5 + 11482*g + 12402*g - 22542*g in the form i*g + z and give i. 1342 Express -x**3 - 322654 - 9*x**2 + 2*x + 26*x**2 + 322655 as k + j*x**2 + c*x + w*x**3 and give c. 2 Express 4 - 3*y**2 + 1 - 2 - 43*y**3 - 3 - 4*y as p*y + r*y**3 + n*y**2 + g and give n. -3 Express (51 - w - 65 - w)*(w - 154 - 87 + 25) as h + n*w**2 + b*w and give h. 3024 Express -u**2 - 14*u**4 + 837*u**3 - 836*u**3 + 289 + 2*u**2 - 285 in the form p*u + i*u**3 + f*u**2 + z + m*u**4 and give z. 4 Rearrange (-2 + 3 + 1)*(-4*b**2 + b**2 + b**2) + (-3 - 2 + 4)*(-1379*b**2 - 591*b**2 - 2146*b**2) to j*b**2 + p + q*b and give j. 4112 Express 1394 - 4*h - 108*h**2 - 1395 - 88*h**3 + 111*h**2 + 3*h in the form i*h**2 + r*h + g + x*h**3 and give r. -1 Express (4 - 5 + 3 + (2 + 0 - 3)*(0 - 2 + 3) + 14 + 5 - 6 + 12 + 32 - 11)*(-87*w - 9*w**2 + 87*w) as b*w**2 + p + c*w and give b. -423 Rearrange -190 - 240 + 621 + 4787*q**3 - 193 to the form p*q**2 + z*q + h + f*q**3 and give h. -2 Rearrange 62*p - 18*p - 45*p - 310*p**2 + 2 to m*p**2 + n*p + k and give m. -310 Rearrange 28027*u - 9992539 + 9992539 to the form b*u + n and give b. 28027 Express 548 - 3981*h + 7961*h - 3970*h in the form r + b*h and give b. 10 Rearrange 4*z**3 - z**4 - 4084 + 4083 + 4*z**3 + 7*z to v*z + o + q*z**4 + y*z**3 + i*z**2 and give o. -1 Rearrange (-5 + 5 + 2)*(2 - 3*g + 0 - 3*g)*(9193 - 9193 - 556*g) to the form s*g**2 + w*g + r and give s. 6672 Rearrange 82914 + u - 2*u**4 - 82914 - 1841*u**2 to n*u + y*u**4 + j*u**3 + r + w*u**2 and give n. 1 Rearrange (0*l**2 + 2 - 4 + 2*l**2)*(-469 + 556 + 2618)*(0 + 1 + 0) to a*l**2 + i*l + k and give i. 0 Express (109*v + 265*v + 20*v)*(-4*v + 4*v + 2*v)*(-6 + 3 - v + 5) as z*v**3 + t*v + h*v**2 + i and give h. 1576 Express -123*c**2 + 334*c**3 + 120*c**2 + 46*c**3 - c - c - 12 + 11 in the form m + r*c**3 + g*c + j*c**2 and give r. 380 Express 8 - 2 - 3 + 1 - 5 - 3033*d in the form q + i*d and give i. -3033 Rearrange (-1 - f**2 + 1)*(-2*f - 438838*f**2 + 445607*f**2 + 2*f) to the form t*f + s*f**2 + j*f**3 + v + x*f**4 and give x. -6769 Rearrange (0 + 0 + 1)*(-2 - 2 + 3)*(32591560*k - 32591560*k + 8597*k**4) to the form m*k**3 + s*k + z*k**4 + g + d*k**2 and give z. -8597 Express 4*g**3 + 0*g - 3*g + 4*g - g**3 - 2*g**3 + 2*g**3 + (-2*g + 2*g + 2*g)*(3*g**2 - g**2 - g**2) as v*g + b*g**2 + a + x*g**3 and give b. 0 Express 701 - 239 + 1270 + 1648 + 1948 - a in the form n + h*a and give n. 5328 Rearrange (401 + 309 + 1133)*(d - 3*d + 5*d + 0*d)*(4*d**2 + d**2 - 2*d**2) to the form u*d + k*d**2 + v + z*d**3 and give z. 16587 Rearrange -25 + 58 - 226*u - 18 - 18 to the form v*u + h and give h. -3 Express -37 + 17*q**2 - 52 - 14*q - 70*q**2 + 26*q**2 + 32*q**2 in the form d*q**2 + f*q + c and give c. -89 Express -13 + 66*b + 17 + 364*b - 4 as d + t*b and give t. 430 Express -56*h - 56*h + 163*h - 52*h + 12 + 9 + 2*h**2 as f + y*h + r*h**2 and give y. -1 Express (2 - 3 + 4)*(8 - 5 + 5)*(2 - 5 - 1)*(2306 + 33*x - 2306) as w*x + r and give w. -3168 Express 32 - 9*z**2 + 4 - 38 - 6*z**3 in the form n*z + y*z**3 + h + l*z**2 and give y. -6 Rearrange (0*h + 2*h - 3*h)*(h**2 - 3*h + 3*h) - h + 13 + 2*h**3 - 695*h**2 + 688*h**2 + 105 to the form c*h**3 + n*h + u + j*h**2 and give u. 118 Rearrange 648*z**3 - z**2 + 20*z**4 + 0*z**2 + 4*z**2 - 644*z**3 - 1 to q + c*z**2 + r*z**4 + y*z**3 + k*z and
{ "pile_set_name": "DM Mathematics" }
he prime factors of y. 3, 13 Let k be 100/(-28) + 3/(-7). Let v be ((-7)/k)/(10/40). Let n(f) = 7*f - 6. List the prime factors of n(v). 43 Suppose 3*y + 12 = -0*q - 3*q, -8 = -q - 4*y. Let c = 17 - -7. List the prime factors of q/c - (-100)/3. 3, 11 Suppose 42*c + 55842 = 83*c. List the prime factors of c. 2, 3, 227 Let u(r) = 28*r + 5. Let i(z) = 9*z + 2. Let q(o) = 8*i(o) - 3*u(o). List the prime factors of q(-4). 7 Suppose 5*g - 162 = -k, 7*k - 2*k + 2*g = 695. Let a = k - 80. Let y = 88 - a. What are the prime factors of y? 31 Let n be 3 + (-18)/(-2 + 4). Let a(b) = -b**2 - 9*b - 3. Let l be a(n). Let v = -13 + l. What are the prime factors of v? 2 Suppose -2*v - 5*c - 153 = 0, -3*c - 12 = c. Let m = 26 - v. Suppose -4*a + 12 = 3*n - 173, 0 = -2*a + n + m. What are the prime factors of a? 47 Let k = 5892 + -3819. List the prime factors of k. 3, 691 Suppose -p + 5 = -11. Let d = -13 + -10. Let s = p - d. What are the prime factors of s? 3, 13 Suppose 7*f - 18 = 4*f + 2*t, 4*f - 5*t = 31. Suppose -4*z - 43 = -s, z = f*s - 0*z - 112. What are the prime factors of s? 3 List the prime factors of (-11860)/8*(-28)/70. 593 Suppose 5*n + 8*r + 60 = 3*r, 4*n + 2*r = -48. Let d = -12 - n. List the prime factors of 2/((-8)/(-100)) - d. 5 What are the prime factors of (-38388)/(-9) + (3/9)/(-1)? 5, 853 What are the prime factors of ((-340)/(-14))/(23/161)? 2, 5, 17 Let s be 0 - (-20 + -2 - -4). Let m = 30 - s. List the prime factors of m. 2, 3 Suppose 3*a = -9, -2*a + 3 = 3*r - 0. Suppose -2*b = -r - 3. Let j = 1 + b. List the prime factors of j. 2 Let m(v) = -12*v**3 + 2*v**2 - 2*v - 4. Let j be m(-3). Let x = j - 168. List the prime factors of 1/(-3) + x/6. 29 What are the prime factors of (-50)/20 + (-518)/(-4)? 127 Let n be (14/4)/(5 + 9/(-2)). Suppose 0 = -f - 4*g + 315, -n*f = -6*f - 3*g - 294. What are the prime factors of f? 3, 101 Suppose 11*c + 976 = 19*c. What are the prime factors of c? 2, 61 Let l = 190 + -64. Let h = -65 + l. What are the prime factors of h? 61 Let u(j) = 4449*j + 29. What are the prime factors of u(1)? 2, 2239 Let g(z) = z**3 - 13*z**2 - 11*z + 17. Suppose -3*u = 37 + 341. Let m be ((-2)/6)/(3/u). What are the prime factors of g(m)? 59 Suppose 3*i - 20 = 5*i. Let z = i - -6. List the prime factors of (-108)/9*2/z. 2, 3 Let f be ((-40)/3)/(22/99). What are the prime factors of (176/20)/((-8)/f)? 2, 3, 11 Suppose -v = 4*y - 5*y - 1161, 5*y = v - 1181. Suppose 5*j - v = 239. What are the prime factors of j? 3, 31 Let n be 0/(1 + 0 + 1). Suppose -k + 4*j - j - 18 = n, 4*k = -3*j - 57. List the prime factors of 1041/45 + 2/k. 23 Suppose 12 = -4*r + 4. Let c(d) = 4*d**2 + 7*d + 9. What are the prime factors of c(r)? 11 Let u be (3 - -20) + -1 + -1. Let x be u - (0 + 4 + -3). List the prime factors of (-165)/22*x/(-3). 2, 5 Let q = -269 - -1109. What are the prime factors of q? 2, 3, 5, 7 Let x = -437 - -2735. List the prime factors of x. 2, 3, 383 Let a(q) = -91*q + 12. List the prime factors of a(-4). 2, 47 What are the prime factors of ((-3)/12)/((-5)/32)*215? 2, 43 Let c(v) = v - 3. Let r(a) = a**2 - a + 2. Let u be r(-2). Let b be c(u). Suppose -5*k - j + 102 = -0*j, b*j - 69 = -4*k. What are the prime factors of k? 3, 7 Let l be 2/(-3) + (-187)/(-33). Suppose 2*b + 3*b - 2*r - 158 = 0, l*r - 133 = -4*b. Suppose -y - 2*w = 2*w - b, 3*w + 111 = 3*y. List the prime factors of y. 2, 3 Let n(r) = -r**2 - 7*r - 17. Let m be n(-4). Let j = m - -117. What are the prime factors of j? 2, 7 Let j = -1 + 5. Suppose -5*b = -5*i - 45, j*b + 3*i + i = 4. Suppose 0 = -b*z + 4*z + 24. List the prime factors of z. 2, 3 Let b(u) be the third derivative of 0 + 1/12*u**4 - 1/6*u**3 - 6*u**2 + 0*u + 19/60*u**5. List the prime factors of b(1). 2, 5 Let n(u) = -u**3 - 30*u**2 + 18*u - 24. Let a be n(-31). Suppose -2*k - 277 = -3*f + a, -2*f = -4*k - 448. What are the prime factors of f? 2, 3 Let g(s) = s**3 + 31*s**2 - 73*s + 28. List the prime factors of g(-33). 7, 37 Let k = 222 + -112. Suppose 2*i + 2*g + 24 - 104 = 0, k = 3*i - 2*g. List the prime factors of i. 2, 19 Let x be ((-32)/(-10))/((-30)/(-1575)). Suppose 3*r + 2*r + 2*b - 269 = 0, -x = -3*r + b. What are the prime factors of r? 5, 11 Let a(g) = -5*g**2 + 75*g**3 + 3*g**2 - 77*g**3. Let j be a(-2). Suppose j*d - 6*d = 22. List the prime factors of d. 11 Let t(p) = p**2 + 7*p + 16. Let v be t(-6). Let f(i) = i**2 - 7*i - 20. What are the prime factors of f(v)? 2, 5 Suppose 5*j + f + f - 16 = 0, -5*f = 3*j - 2. Suppose -10 = -9*n + j*n. Let d(o) = -o**3 + 2*o**2 + 5*o - 3. What are the prime factors of d(n)? 7 Suppose q = -4*q + 25. Suppose q*j - 1710 = -5*j. List the prime factors of j. 3, 19 Suppose -78 = l + 2*l. Let p = l - -32. List the prime factors of p. 2, 3 Suppose 0 = 81*s - 60399 - 167535. What are the prime factors of s? 2, 3, 7, 67 Let d = 73 + -73. Suppose 6*t - 2*t - 84 = d. List the prime factors of t. 3, 7 Suppose 0 = 5*m - 2*i + 47, 0 = -2*m - 3*m + 4*i - 49. Let h be ((-18)/(-27))/(1/m). Let j = h - -12. What are the prime factors of j? 2, 3 Let q(n) = -n**3 - 10*n**2 - 8*n - 1. Let y be q(-8). Let r = y + 144. List the prime factors of r. 79 Suppose 8*z = z. Suppose 2*v - 441 = -3*d - z*v, 4*v + 161 = d. What are the prime factors of d? 149 Let h be (-6)/(-4)*(-16)/(-12)*1. Suppose 5*g + h*k + 20 = 133, -4*g + 4*k = -96. List the prime factors of g. 23 Let t = -20 - -26. Suppose 0 = 4*c - 16. Suppose c = i - t. List the prime factors of i. 2, 5 Let i(p) = -2*p - 10. Let n be i(-7). Suppose n*h = -4*b, -3*b + 4*b = 5*h. Let c(z) = z + 20. What are the prime factors of c(h)? 2, 5 Let w(q) = 2*q**3 + 4*q**2 - q - 45. What are the prime factors of w(5)? 2, 3, 5 Let y(n) = -n**3 - 6*n**2 + 5*n - 4. Let t be y(-7). Let z be t/(-25) + 106/(-10). Let o = 8 - z. List the prime factors of o. 19 Let q(l) be the first derivative of -l**3/2 - 17*l**2/2 - 9*l + 5. Let b(j) be the first derivative of q(j). What are the prime factors of b(-11)? 2 Suppose 3*v = 5*f - 3, -4*v - 4 = -3*f - 2*f. Suppose -3*j - 2*j = f. Suppose 2*z - 5*b - 19 = -j, -2*z + 12 = 2*b. What are the prime factors of z? 7 What are the prime factors of (88473/66)/((-2)/(-4))? 7, 383 Suppose -2*v + 0*f + 4*f + 1364 = 0, f = 2*v - 1376. Suppose 0 = -i - 1, -5*i + v = 5*y - 0*y. What are the prime factors of y? 139 Suppose -9*g - 19*g = -21728. List the prime factors of g. 2, 97 Let r be 10/(-2)*(-3)/3. Suppose -362 = -3*x - r*i + 47, -138 = -x - 2*i. Suppose 68 = 3*s - 4*z, 3*z = 4*s + 7*z - x. What are the prime factors of s? 2, 7 Let s(a) = 2*a**2 + 35*a - 175. What are the prime factors of s(28)? 3, 7, 113 Let j = 183 + -171. Suppose -j = 4*y, -y - 7 + 1 = -g. What are the prime factors of g? 3 Let p = 1033 + -337. List the prime factors of p. 2, 3, 29 Let k = 17 - 20. List the prime factors of 45 + (4 - k - 3). 7 Suppose -g + 82 = 5*a, -a = -3*a - 5*g + 42. Let j be (328/a)/(2/4). Let y = -25 + j. List the prime factors of y. 2 Let u be (-2)/(-5) + (-54)/(-15). Suppose -u*f = -23 - 81. Let z = -10 + f. What are the prime factors of z? 2 Let r = -332 - -520. What are the prime factors of r? 2, 47 Suppose -14*h + 161 = -35. Suppose -h*j + 3384 = -186. What are the prime factors of j? 3, 5, 17 Let u = -486 + 742. List the prime factors of u. 2 Let o = 815 - -784. List the prime factors of o. 3, 13, 41 Let k = 1236 - 786. List the prime factors of k. 2, 3, 5 Let t be (-8)/20*(7 + -2). What are the prime factors of -2 + 141 + t/1? 137 Let n(l) = -61*l**2 - 6*l + 1. Let a be n(-2). Let m = a - -355. List the prime factors of m. 2, 31 Let j(w) = 24*w**2 - 3*w - 2. Let u be j(-1). Suppose -p - 4*p = -u. Suppose -o + p = -26. What are the prime factors of o? 31 Let r = -40 + 89. Suppose r - 5 = 4*p. Suppose -5*j + 4*z + 4 + 9 = 0, -j - 2*z = -p. List the prime factors of j. 5 Let w = -7166 - -10488. List the prime factors of w. 2, 11, 151 Suppose -414 = 4*l - 3706. What are the prime factors of l? 823 Let j be ((-2)/4)/(2/(-8)). Suppose -h + j*v = h - 32, -56 = -3*h - v. Suppose -2*g - 2*g = 2*c - h, -6 = 2*g. List the prime factors of c. 3, 5 Suppose -j - 7 + 1 = 0. Let u(l) = l**2 + 6*l + 2. Let z be u(j). What are the prime factors of 68/(-6 + z - -6)? 2, 17 Let w(b) = b - 7. Let p be (-63)/6 + (-3)/6. Let
{ "pile_set_name": "DM Mathematics" }
3, -2, 3, -1. -2, -1, 3, 183 Sort 13/2, 4, -0.2, 4/5 in ascending order. -0.2, 4/5, 4, 13/2 Sort -9, 5, 9, -2, 2. -9, -2, 2, 5, 9 Sort -5, -4, 372, 1, 3 in increasing order. -5, -4, 1, 3, 372 Sort -2/9, 5/38, -1/5, -1/9 in descending order. 5/38, -1/9, -1/5, -2/9 Sort 2/5, -0.5, -310 in descending order. 2/5, -0.5, -310 Sort 6, -5, 0, 7, -1 in descending order. 7, 6, 0, -1, -5 Put -2, -0.9, -9/4 in ascending order. -9/4, -2, -0.9 Sort 0, -2, -23 in decreasing order. 0, -2, -23 Sort -422, 2, 4 in ascending order. -422, 2, 4 Put -7/11, -4, -7 in descending order. -7/11, -4, -7 Sort 529, 0.3, 1 in decreasing order. 529, 1, 0.3 Put 0, 11, -5, 1, -3 in decreasing order. 11, 1, 0, -3, -5 Sort 2/13, -4, 6, 3. -4, 2/13, 3, 6 Sort 5, -3, 4, 2, 42 in descending order. 42, 5, 4, 2, -3 Sort 1, 166, 5. 1, 5, 166 Put 0.2, -2/3, -0.146, -1 in increasing order. -1, -2/3, -0.146, 0.2 Sort 2/29, 1/3, 0, -1/5. -1/5, 0, 2/29, 1/3 Put 37, -28, 14 in increasing order. -28, 14, 37 Put -2, 6, 2, 2/15 in increasing order. -2, 2/15, 2, 6 Sort 6, -0.3, -1, 0.019 in ascending order. -1, -0.3, 0.019, 6 Put 4, 8, 3, 0, -2 in descending order. 8, 4, 3, 0, -2 Put -1, -18, -8, 2/13 in decreasing order. 2/13, -1, -8, -18 Put -3, 3, 5, -147 in ascending order. -147, -3, 3, 5 Put 0.07, 7, -0.1, -0.3, 3 in decreasing order. 7, 3, 0.07, -0.1, -0.3 Sort -5, 1/4, 4977, 3. -5, 1/4, 3, 4977 Put -5, -30, -9 in descending order. -5, -9, -30 Sort 11, 290, -3. -3, 11, 290 Sort -1/5, 97, -4/7, -1 in decreasing order. 97, -1/5, -4/7, -1 Sort 0.066, -4, -0.2. -4, -0.2, 0.066 Sort -4, 5, 1/2, -3, 18 in descending order. 18, 5, 1/2, -3, -4 Put 2/3, -18, -2 in descending order. 2/3, -2, -18 Sort -2/9, 0, -1168, 2/9 in increasing order. -1168, -2/9, 0, 2/9 Put 3, -1, 50 in decreasing order. 50, 3, -1 Put 4, -2.5, -1/7 in descending order. 4, -1/7, -2.5 Sort -1, -5, -4, -3 in decreasing order. -1, -3, -4, -5 Put -2, -10, -36 in decreasing order. -2, -10, -36 Sort -5, -4, -39 in descending order. -4, -5, -39 Put -1, -51, -4 in decreasing order. -1, -4, -51 Sort 12, -5, -66 in descending order. 12, -5, -66 Put -21, -7, 7 in ascending order. -21, -7, 7 Put -5, 0.007, 6, 0.04, -1 in decreasing order. 6, 0.04, 0.007, -1, -5 Put -3, 1.74, 0.3, 4 in decreasing order. 4, 1.74, 0.3, -3 Sort 2, 5, -10 in descending order. 5, 2, -10 Sort -3, -6, -5, -49 in decreasing order. -3, -5, -6, -49 Put 1, -159, 2, 4 in descending order. 4, 2, 1, -159 Put -1.2, 1, -0.04, -3/7 in increasing order. -1.2, -3/7, -0.04, 1 Sort -3, 3, 5, -7 in decreasing order. 5, 3, -3, -7 Put -1, 3, 0.47 in decreasing order. 3, 0.47, -1 Sort -1/3, -1, -60 in descending order. -1/3, -1, -60 Sort 1, -134, 2, 4 in ascending order. -134, 1, 2, 4 Sort 13277, -5, -3 in increasing order. -5, -3, 13277 Put 3, 4, -2, 93 in decreasing order. 93, 4, 3, -2 Sort 5, 2, 57. 2, 5, 57 Sort 23, -13, -4 in descending order. 23, -4, -13 Sort 3, -1, -23, -6 in descending order. 3, -1, -6, -23 Sort 4, 5, -3, -128. -128, -3, 4, 5 Put 1/9, 3, -4, -2/9 in decreasing order. 3, 1/9, -2/9, -4 Sort 4, -6, -5, 3, 0 in descending order. 4, 3, 0, -5, -6 Sort -5, 43, 4 in decreasing order. 43, 4, -5 Put 3, -6/59, 3/7 in increasing order. -6/59, 3/7, 3 Put 2, 244, 7 in increasing order. 2, 7, 244 Sort 2, -2, 2.4, -0.4, -0.11. -2, -0.4, -0.11, 2, 2.4 Sort -2/917, 0.4, 1, 3/2 in ascending order. -2/917, 0.4, 1, 3/2 Sort -4, 2, 4, -2 in descending order. 4, 2, -2, -4 Put -0.5, 3.2, 0.1 in descending order. 3.2, 0.1, -0.5 Sort -31, 9, 4, 22 in increasing order. -31, 4, 9, 22 Sort -4/3, 0.4, 0.8, -5, -5/3 in decreasing order. 0.8, 0.4, -4/3, -5/3, -5 Put -2, -8, -1 in increasing order. -8, -2, -1 Sort -5, -81, 3 in ascending order. -81, -5, 3 Sort -0.062, 3, -2/5 in increasing order. -2/5, -0.062, 3 Sort -54, 1, -2, -14. -54, -14, -2, 1 Sort 2, -105, 4. -105, 2, 4 Put 2, 1/3, 1, -0.6 in increasing order. -0.6, 1/3, 1, 2 Sort 1/3, 0, 6, -0.05, 1/4. -0.05, 0, 1/4, 1/3, 6 Sort -27, 22, 3 in decreasing order. 22, 3, -27 Sort -140, -1, -5, 3 in decreasing order. 3, -1, -5, -140 Put 5, 0.2, 2/3777 in decreasing order. 5, 0.2, 2/3777 Sort -2, -4, 2, -2/5, -10/19 in increasing order. -4, -2, -10/19, -2/5, 2 Sort -3, 9, 5, 16 in descending order. 16, 9, 5, -3 Put 4, -0.05, 4.5 in descending order. 4.5, 4, -0.05 Sort 5, -4, 2, 3, -259 in decreasing order. 5, 3, 2, -4, -259 Put -184, 3, 24 in decreasing order. 24, 3, -184 Sort -1/3, 4/3, 0.05, 4, 0. -1/3, 0, 0.05, 4/3, 4 Sort -1/4, 5, -5, -4, -9. -9, -5, -4, -1/4, 5 Put -1, 2, 1, -79, 5 in decreasing order. 5, 2, 1, -1, -79 Put 11, 2, -4 in decreasing order. 11, 2, -4 Put -6, -1, 2/7, 0 in decreasing order. 2/7, 0, -1, -6 Sort -103, 4, -2, -5 in increasing order. -103, -5, -2, 4 Put 2750, -1/3, 3 in ascending order. -1/3, 3, 2750 Sort 83, -2/9, 2, 0. -2/9, 0, 2, 83 Put 2/677, 2/3, -0.2 in increasing order. -0.2, 2/677, 2/3 Sort -0.52, 0.3, 2.5, -3, 1/5 in decreasing order. 2.5, 0.3, 1/5, -0.52, -3 Sort 10, -0.5, 2/5, 0 in decreasing order. 10, 2/5, 0, -0.5 Sort -1, -54, 3, 1, 0 in increasing order. -54, -1, 0, 1, 3 Put 1, -5, 0 in ascending order. -5, 0, 1 Put -1, -2, 1, 3 in decreasing order. 3, 1, -1, -2 Put 41, 4, -3 in ascending order. -3, 4, 41 Put -5, 12, 2, -10 in ascending order. -10, -5, 2, 12 Sort 1, 5, -29, 10, 0. -29, 0, 1, 5, 10 Put -6, -5, 2, 5 in decreasing order. 5, 2, -5, -6 Sort 9, 6, 3, 0, 2 in decreasing order. 9, 6, 3, 2, 0 Put 4, -1, -37 in decreasing order. 4, -1, -37 Put 1, 0, -66, -8 in descending order. 1, 0, -8, -66 Put -580/17, 2/5, 3/4 in ascending order. -580/17, 2/5, 3/4 Sort -2, -3, 3, -9, 34 in ascending order. -9, -3, -2, 3, 34 Sort -2, -724, -1 in decreasing order. -1, -2, -724 Put -4, -2, -5, -213 in descending order. -2, -4, -5, -213 Sort 4, 6, -2 in descending order. 6, 4, -2 Sort 1, 4, 77, -0.3 in increasing order. -0.3, 1, 4, 77 Sort 21, -4, 3, 6 in decreasing order. 21, 6, 3, -4 Put 5, 119/27, 1/5 in descending order. 5, 119/27, 1/5 Put -12, -0.06, -0.5 in increasing order. -12, -0.5, -0.06 Put 0.3, 3/2, 0.395, 0.4, -1/3 in ascending order. -1/3, 0.3, 0.395, 0.4, 3/2 Sort -3, 83, -2 in descending order. 83, -2, -3 Put 0.2, -23/40, 0.3 in descending order. 0.3, 0.2, -23/40 Sort -3, 19, -1/3, 1/168 in decreasing order. 19, 1/168, -1/3, -3 Put 1, 0.6, 19 in decreasing order. 19, 1, 0.6 Sort 2/11, -79, -5, 2. -79, -5, 2/11, 2 Sort -2, -87.3, 1/9 in decreasing order. 1/9, -2, -87.3 Put -5, 2, 87 in decreasing order. 87, 2, -5 Sort 11, -4, -3, -2 in ascending order. -4, -3, -2, 11 Put -1, 2, 12, -26 in ascending order. -26, -1, 2, 12 Put -67, 2, -0.4 in ascending order. -67, -0.4, 2 Put -3, 367, 2, -10 in increasing order. -10, -3, 2, 367 Put -2, 0, -3, -11 in increasing order. -11, -3, -2, 0 Sort 17, -2/17, 4, -0.3. -0.3, -2/17, 4, 17 Sort 0.5, 2, 2/19, 14/13 in ascending order. 2/19, 0.5, 14/13, 2 Sort -24, 5, 0, 3. -24, 0, 3, 5 Sort 0, 7, 2 in descending order. 7, 2, 0 Sort 0, 5, 26, -5 in decreasing order. 26, 5, 0, -5 Sort 2/23, -101, 2, 0 in increasing order. -101, 0, 2/23, 2 Put -4, -5, 4 in decreasing order. 4, -4, -5 Put 3, 2/165, 5, -1/4 in descending order. 5, 3, 2/165, -1/4 Sort -12, 21, 2 in decreasing order. 21, 2, -12 Sort -5, 0, -1/4, -14, -0.09. -14, -5, -1/4, -0.09, 0 Put -3, -1, -1/7, -0.7 in ascending order. -3, -1, -0.7, -1/7 Sort 3, 12/13, 10/9. 12/13, 10/9, 3 Sort 4, 186, 17 in descending order. 186, 17, 4 Put 6/11, -5, -0.06 in descending order. 6/11, -0.06, -5 Sort -4, 267, -0.4 in decreasing order. 267, -0.4, -4 Sort 1, 2, 68, 5, 3. 1, 2, 3, 5, 68 Sort -751, -5, -2/9. -751, -5, -2/9 Put -4, -10, 0.5, -1/14 in increasing order. -10, -4, -1/14, 0.5 Sort -0.1, 3.4, 5, -1.1, -2/7 in descending order. 5, 3.4, -0.1, -2/7, -1.1 Sort -9, 1, -1, 6, -2 in descending order. 6, 1, -1, -2, -9 Put -165, 1, -1, 3 in descending order. 3, 1, -1, -165 Sort 0.1, -1, -0.5, 0.33 in increasing order. -1, -0.5, 0.1, 0.33 Put 8, 15, -5 in descending order. 15, 8, -5 Put 0, 2, -8/5, -5 in increasing order. -5, -8/5, 0, 2 Sort 11, -0.54, -0.09 in decreasing order. 11, -0.09, -0.54 Sort 1/11, 1, -20, 4 in decreasing order. 4, 1, 1/11, -20 Sort 2, -5, -14, -2 in descending order. 2, -2, -5, -14 Sort -4, 7, -80 in increasing order. -80, -4, 7 Sort 2, 49, 7 in increasing order. 2, 7, 49 Put -3, 7, 5 i
{ "pile_set_name": "DM Mathematics" }
ive of 139/2*z**2 + 132*z - 11. Differentiate l(n) with respect to n. 139 Let f(v) be the third derivative of -42*v**4 + 379*v**3/2 - v**2 + 59. Differentiate f(x) wrt x. -1008 Let w(s) = 5*s - 99. Let a be w(21). What is the third derivative of 7*d**2 + 14 - 9 - 43*d**2 - 119*d**3 - a wrt d? -714 Let v(k) = -177*k**3 - k**2 + 12*k + 395. Let w(j) = -87*j**3 + 7*j + 197. Let q(y) = 3*v(y) - 5*w(y). What is the second derivative of q(z) wrt z? -576*z - 6 Let d(l) be the first derivative of 2*l**5/5 - 471*l**4/4 + 5*l**2 + 108*l - 2427. Find the second derivative of d(j) wrt j. 24*j**2 - 2826*j What is the second derivative of r + 7189234*r**2 - 1043 - 680 - 7195002*r**2 wrt r? -11536 Let b(s) = -5885*s**3 - 5*s**2 - 5005. Let c(x) = 5884*x**3 + 6*x**2 + 5003. Let f(q) = -6*b(q) - 5*c(q). Differentiate f(a) with respect to a. 17670*a**2 Suppose 5*t + 4*f = 521, 8*f - 3*f = 5*t - 530. Differentiate -t + 0*l**4 - 18*l**4 + 9*l**4 wrt l. -36*l**3 Let j(g) be the second derivative of -189*g**4/4 + 207*g**2/2 + 1009*g. What is the first derivative of j(t) wrt t? -1134*t What is the derivative of -14245*k**4 + 17895*k**4 - 428 + k**2 - k**2 - 228 wrt k? 14600*k**3 Differentiate 47261*a**4 - 42015*a**4 - 3861 - 1050 - 214 wrt a. 20984*a**3 Find the third derivative of -68625*g**2 + 35*g**3 + 68948*g**2 + 308*g**3 + 13*g**3 wrt g. 2136 Let l(g) = 4*g**2 + 5*g - 3. Let v(x) = -2622*x**2 - 8327*x - 6. Let h(c) = 2*l(c) - v(c). Find the second derivative of h(o) wrt o. 5260 Let y = -40 - -43. Suppose -2*l + 4 - y = -m, 2*m + 5*l = 25. Find the first derivative of -m + 9*f**3 + 4*f**3 + 0 + 1 wrt f. 39*f**2 What is the first derivative of 2603 - 3481*w**2 - 821 - 1046 - w + 1650 + 1626 wrt w? -6962*w - 1 Let r(p) = 49*p - 82. Let c(s) = -s**3 + 13*s**2 + s - 8. Let o be c(13). Let g(y) = -3*y - 1. Let i(a) = o*g(a) + r(a). What is the derivative of i(w) wrt w? 34 Let a(z) be the first derivative of 0*z + 25 + 29/2*z**2 - 29/3*z**3. What is the second derivative of a(b) wrt b? -58 Let l(p) be the third derivative of 11*p**6/24 - p**5/12 - 89*p**4/24 + 5*p**3/6 - 547*p**2. What is the second derivative of l(m) wrt m? 330*m - 10 Suppose 5*r + 16 = -2*h, 26 = 2*h + h - 5*r. Find the third derivative of -31*s**5 - s + 6296 - s**h - 6296 wrt s. -1860*s**2 Let i(z) = -904*z**4 + z**3 - 4*z**2 + 4*z - 2. Let c(t) = -t**4 + t**3 + 2*t - 2. Let w(v) = -4*c(v) + 2*i(v). What is the third derivative of w(j) wrt j? -43296*j - 12 What is the third derivative of -4 + 3 + 90*r**3 + 344*r**3 + 6 - 114*r**2 - 2*r**2 wrt r? 2604 Let u(a) be the third derivative of -38/15*a**5 + 115*a**2 + 0*a + 0 - 4*a**4 + 1/6*a**3. What is the second derivative of u(k) wrt k? -304 Let s(b) be the first derivative of -1465*b**3/3 + 93*b**2 - 8*b + 784. What is the second derivative of s(d) wrt d? -2930 Let d(p) = -7*p**3 - p**2 + p + 1. Let g(y) = 4475*y**3 - 4443*y**2 - y - 1. Let h(n) = -d(n) - g(n). Find the third derivative of h(m) wrt m. -26808 Let j = 166 + -163. Let g(a) = a + 19. Let s be g(-8). What is the third derivative of 28*r**2 - s*r**2 + r**3 - 2*r**j wrt r? -6 Let g(b) = 6917*b**2 + 4279. Let d(f) = 3459*f**2 + 2138. Let x(z) = -5*d(z) + 3*g(z). What is the derivative of x(o) wrt o? 6912*o Let k(u) be the second derivative of u**6/5 - 2*u**5/5 - 134*u**3 - 2*u + 25. Find the second derivative of k(r) wrt r. 72*r**2 - 48*r Let h(p) be the first derivative of -79*p**3/3 - 5*p**2/2 - 1170*p - 1937. Differentiate h(q) wrt q. -158*q - 5 Let u be 3 + (3/(-12) - (-38)/(-8)). Let w be (-19)/u - (15/(-10) - -1). Differentiate -w*p**2 - 1 + 25*p**2 + 5 + 1 with respect to p. 30*p Let h(i) = 30*i - 26. Let q = 44 - 42. Suppose q*a = a + 6. Let m(b) = b - 1. Let f(o) = a*m(o) - h(o). Find the first derivative of f(l) wrt l. -24 Let r(b) = b - 45. Let l be r(49). Suppose 0 = -5*f + 32 + 18. Find the second derivative of 14*y**3 - f*y**3 + 11*y**3 + 0*y - l*y wrt y. 90*y Let l(k) be the first derivative of -15029*k**4/4 + 4*k**3 + 19*k**2/2 - 14988. Find the third derivative of l(c) wrt c. -90174 Let f(i) be the second derivative of -7*i**6/3 - 11*i**5/20 + 35*i**4/6 - 2*i**3 + 305*i - 8. What is the third derivative of f(b) wrt b? -1680*b - 66 What is the second derivative of 3549*w**2 - 24 - 14*w + 3844*w**2 - 3917*w**2 wrt w? 6952 Let y(q) be the second derivative of -7301*q**5/20 - 7*q**4/12 - 109*q**3/3 + q**2 - 2*q - 4558. What is the third derivative of y(f) wrt f? -43806 Let z(k) = 2*k + 36. Let b be z(-18). Suppose b*n - 97 = -n. Find the third derivative of -n*q**5 + 105*q**5 + 10*q**2 - 34*q**2 wrt q. 480*q**2 Let o(u) be the third derivative of 61*u**7/105 - u**5/5 + u**4/24 - 373*u**3/3 - 69*u**2 - 4. What is the second derivative of o(g) wrt g? 1464*g**2 - 24 Let n(r) be the third derivative of 170*r**2 + 0*r + 1/24*r**4 + 0 - 95/3*r**3 + 7/30*r**5. What is the derivative of n(s) wrt s? 28*s + 1 Let y(i) be the second derivative of 9839*i**4/12 - 3193*i**3/6 - 2991*i. What is the second derivative of y(v) wrt v? 19678 Let y(j) be the third derivative of -1105*j**9/56 + 269*j**5/5 - 13063*j**2. Find the third derivative of y(u) wrt u. -1193400*u**3 Let d(s) be the second derivative of 0*s**5 + 0*s**4 + 0*s**2 + 0*s**6 - 8/7*s**7 - 1 - 11*s + 26/3*s**3. Find the second derivative of d(r) wrt r. -960*r**3 Let x be (-10)/4*(-6 - 24/(-6)). Find the third derivative of 26*r**2 + 7*r - 19*r**5 - 10*r**2 - 7*r**x - 12*r**2 wrt r. -1560*r**2 Let q = -79 - -47. Let l = q - -55. Find the second derivative of 5*m**5 - 23*m**2 + l*m**2 + m - 18*m**5 wrt m. -260*m**3 Let s(t) = 123 - 89 + 3*t**3 - t - 24*t**4 - 5*t**4. Let k(l) = l**4 - l**3 + 1. Let y(m) = -3*k(m) - s(m). Differentiate y(n) wrt n. 104*n**3 + 1 Let o(z) be the first derivative of -601*z**5/5 + 950*z - 1921. Differentiate o(y) wrt y. -2404*y**3 Let z = 21 + -21. Find the second derivative of 29*s + 3*s + 60*s**3 - 119*s**3 + 3*s**2 + z*s**2 + 11*s wrt s. -354*s + 6 Suppose -28 = -4*f - 20. What is the second derivative of 2*c + 590*c**2 + 12 - 453*c**2 + f wrt c? 274 Let i be 42/8 - -4*5/(-80). Find the third derivative of 5*j**5 - 6*j**4 + i*j**5 - 8*j**5 + 2*j**2 wrt j. 120*j**2 - 144*j Let w be 78/(-4)*(-2 - 176/12). Let u = w + -98. What is the third derivative of 18*v**2 - 9*v**3 + 35*v**3 + u*v - 227*v wrt v? 156 Let o = 66 + -72. Let w(u) = -58*u**2 - 6*u + 154. Let r(d) = -56*d**2 - 5*d + 154. Let c(l) = o*r(l) + 5*w(l). What is the first derivative of c(g) wrt g? 92*g Let s(u) be the second derivative of u**7/3 - 9*u**4/4 - 70*u**3/3 - u**2/2 - 89*u - 1. Find the second derivative of s(c) wrt c. 280*c**3 - 54 Find the first derivative of 15*a - 19*a + 55*a**3 - 1015 - 21*a**2 + 8*a + 21*a**2 wrt a. 165*a**2 + 4 Let h(b) = -6006*b + 34629. Let i(q) = -316*q + 1823. Let w(r) = -3*h(r) + 56*i(r). Find the first derivative of w(n) wrt n. 322 Let a(f) = -f**3 + f**2 - 3*f. Let d(m) = m**2 + 84 - 84 + 48*m**3 - 175*m - 7*m**2 - 26*m. Let j(u) = -6*a(u) - d(u). Find the second derivative of j(g) wrt g. -252*g What is the third derivative of 1053*t**2 + 208*t**4 - 370*t**4 + 158*t**4 - 177*t**5 + 2*t wrt t? -10620*t**2 - 96*t Let s = 120 + 17. Let w = s - 135. Find the second derivative of -26*n**w - 7 + 10*n + 0 - 5 + 9 wrt n. -52 Find the second derivative of -335*h - 1418*h + 504*h - 4334*h**2 + 57*h - 1734*h wrt h. -8668 Let h be (-3)/(18/(-34)) - 4/6. Let n(p) = -p**2 + 5*p + 3. Let j be n(h). Find the first derivative of -10*l**j - 9 - 5*l**3 + 6 wrt l. -45*l**2 Let d(y) = -4*y**3 - 3*y**2 + 3*y - 1. Let f be d(2). Let j = f - -42. Find the first derivative of -7 - 14 - 5*r**j - 6*r**3 - r**3 wrt r. -36*r**2 Find the third derivative of 59*o**3 + 3*o**2 + 2678 - 2*o**2 - 7*o**4 - 96*o**3 - 79*o**3 wrt o. -168*o - 696 Differentiate -1014*v**3 - 1421*v**3 - 1283*v**3 + 2773 + 799*v**3 - 2499*v**3 wrt v. -16254*v**2 Let l(c) = c**3 - 10*c**2 + 22*c + 12. Let o be l(6). Find the first derivative of 49*w + o*w**2 - 41 + 2*w**2 + 79*w - 93*w wrt w. 4*w + 35 Let g(d) = 272*d**2 - 37*d - 1137. Let j(k) = -545*k**2 + 84*k + 2274. Let x(f) = 9*g(f) + 4*j(f). Differentiate x(r) wrt r. 536*r + 3 Let n(x) = 819*x**4 + 5*x**2 + 5*x + 9355. Let c(p) = -408*p**4 - 3*p**2 - 3*p - 4678. Let m(k) = 5*c(k) + 3*n(k). What is the fi
{ "pile_set_name": "DM Mathematics" }
.4, t, -5, o? -5 Let o = 1/3671 - -245952/18355. Let t = o - 13. Let g = -1 + -2. What is the third smallest value in t, -1, g? t Let q = 15 - 30. Let x = 11 + q. Let v = -0.08 - 1.92. What is the second biggest value in v, -0.5, x? v Let u = 0.06 + -2.06. Let g(v) = -v**3 - 3*v**2 - 3*v - 3. Let y be g(-3). Let k be 17/y - (-1 + 4). Which is the biggest value? (a) u (b) 6 (c) k b Let n = 74 - 40. Let h = n + -32. Which is the biggest value? (a) h (b) 0.01 (c) 2/9 a Let y = 18.133 - 18. Let z = y + 0.067. Let t be (8/66)/((-2)/(-3)). Which is the biggest value? (a) t (b) -0.5 (c) z c Let k = -89.3 + 95. Let l = 0.7 - k. Let q = -1.39 - -1.19. What is the biggest value in 1/10, q, l? 1/10 Let w = 38 - 37. Let u = w - 5/3. What is the third smallest value in -0.4, u, 10? 10 Let w = 49 - 52. Let r = 402 + -243. Let q be -3*(3 - r/45). Which is the biggest value? (a) -0.5 (b) q (c) w b Let f be (-4)/(-10) + (-6017)/(-220). Let u = -27 + f. What is the fourth smallest value in -4, 2/7, -1, u? u Let k = 2/53 + 88/477. Let f = 2 - -1. What is the fourth biggest value in -1.2, f, -3, k? -3 Let x = 3.519 - 3.5. Let b = x + -0.249. Let g = b + 0.13. What is the third biggest value in g, 0.4, -2? -2 Suppose -u = -6*u + 15. Suppose -14 - 4 = -u*r. Suppose 36 = -5*d + r. Which is the third smallest value? (a) d (b) 4 (c) 0.2 b Let o = 2/127 - 518/635. Let x = 74 + -2. Let w = 71 - x. What is the biggest value in w, o, -6? o Let y = -28 - -25. Suppose -3*n - n = 16. Let v be y/n*(2 - 6). Which is the smallest value? (a) -0.1 (b) -0.5 (c) v c Let u = 8.4 + -8. Let g = 1103 + -6619/6. What is the third smallest value in u, g, 1, 0.5? 0.5 Let k = -30 + 40.1. Let z = k + -10. Let f = 4.52 - -3.48. What is the second biggest value in -0.1, z, f? z Let x = -0.602 - -0.51. Let j = x + 1.092. Which is the biggest value? (a) -5 (b) -3/2 (c) j (d) 0.5 c Let o be (-22)/(-220)*((-2 - 3) + 159). Which is the biggest value? (a) 1/2 (b) 0 (c) o c Let h = 2 - -1. Let a be ((-6)/4)/h*2. Let o be (4/(-12))/(a/9). What is the biggest value in o, 0.2, -3? o Let l = 81 - 77. Suppose -1 = l*g - y + 1, -2*g = -2*y - 2. What is the smallest value in 0.3, g, -5, 3? -5 Let g = 2.03 - 1.93. What is the fourth biggest value in -1, g, -4, 1/14? -4 Let w(u) = -u**2 + u - 1. Let x be w(1). Let r be 2/(-8) + x/4. Let h = -0.9 - -0.5. What is the smallest value in 2/3, h, r? r Let s = 225 - 1345/6. Let j = 1346 + -1347. Which is the third smallest value? (a) 5 (b) -0.3 (c) s (d) j c Suppose 0 = 2*x - 1 - 1. Let g be (-6*(-4)/(-104))/((-9)/6). Which is the second biggest value? (a) x (b) g (c) -1 (d) 0.5 d Let r = 0 + 5. Suppose -r*w = 4*y + 24, -2*y - y = -3*w - 9. Which is the second smallest value? (a) y (b) -6 (c) -4 c Let v = 16 - 14.5. Let z = v - 1. Which is the second biggest value? (a) 0.3 (b) 5 (c) z c Let i be ((-42)/4)/((-33)/(-44)) - -2. Which is the fourth smallest value? (a) -4 (b) -3 (c) i (d) -0.3 d Let q be (-5 - (-3 + 0)) + -1. Let v be (-9 - -3)*(4 + q)/5. What is the fourth smallest value in 0, 2, v, -1? 2 Let h = 281/825 + -2/275. Which is the second smallest value? (a) -5 (b) 4 (c) h (d) 5 c Let s = -163 - -164. What is the second smallest value in 0.2, 17, s? s Let r = -65.68 - -64. Let b = r + 1.5. Let m = -0.32 + b. What is the third biggest value in -0.3, m, 0.1? m Let h = 210 + -214. What is the biggest value in 3, -2, h, -3/2? 3 Let q = 41.1 + -41. Which is the third smallest value? (a) q (b) -3 (c) 1/4 (d) -1/4 a Let a = 9.5 + -14. Let j = a - -5. What is the second biggest value in -5/3, j, 5? j Suppose -2*p - 3*h + 6 = -8, -2*p + 3*h = -2. What is the biggest value in -2/3, p, 0, 2? p Let f = -1.199 + -0.101. Which is the biggest value? (a) f (b) -1 (c) -1/9 c Let a = -0.03 - 0.02. Let y = -0.05 - a. Suppose -2*w - 15 = x, -10 = -w + x + 2*x. What is the second smallest value in y, 3/7, w? y Let j = -10 + 9.5. Let t = -0.55 - j. Let p = t - -0.01. Which is the smallest value? (a) 0.2 (b) 0.1 (c) p c Suppose 2*j + 21 = 5*g, 16 = -2*j - 15*g + 19*g. What is the second smallest value in j, 72, -0.5? j Let f be 3 + 0/(-12 - -6). Let j = -0.9 + 4.9. Let w = j - 4.2. Which is the second biggest value? (a) f (b) w (c) 2/15 c Suppose 3*i - 28 = 80. Let f = i - 31. Let o be (-20)/f + (10 - 2). What is the second biggest value in 1, o, -5? 1 Let v = -1067/4 + 267. Let u = -1/20 - -1/4. What is the third smallest value in -2, v, u? v Let q = -244 - -244. What is the fourth smallest value in -24, q, -1, -1/6? q Let v = 169/18 - 19/2. Let k = 0.15 + -0.14. Let m = 0.11 - k. Which is the smallest value? (a) v (b) -1/2 (c) m b Let w be 112/(-48) + 1 + 2. Let d = 6 - 6.04. What is the second smallest value in w, 0.3, d, -4? d Let p = -64 - -63.68. Let t = -3.68 + p. What is the third biggest value in -0.9, -1, t? t Let h = -7 + 2. Let p = 444 + -444.04. Which is the smallest value? (a) h (b) p (c) 1 a Let u = 5.9 - 0.9. Which is the biggest value? (a) 9.9 (b) u (c) -0.5 (d) 0 a Suppose 7*c - 12*c + 5 = 0. Let y = 4.1 + -4. What is the second smallest value in c, 3, y? c Let k be (24/(-40))/(1 + -4). Which is the second smallest value? (a) -9 (b) 2 (c) k (d) 0 d Let x be ((-511)/(-7))/(-1 + 0). Let l = -75 - x. Which is the biggest value? (a) -2/5 (b) l (c) -3 a Let m = -99/5 + 20. Which is the second biggest value? (a) m (b) -2/17 (c) 5 a Let l = 9224.759 + -9220. Let d = 0.241 + l. Let o = -5/2 - -4. What is the third smallest value in -5, d, o? d Let n = 3 + -1. Let z = -2486/7 - -355. Which is the second biggest value? (a) 1/2 (b) z (c) n a Let o(i) = -i**2 - 9*i + 15. Suppose 2*k - 53 + 6 = 5*s, 2*s = 3*k - 10. Let g be o(s). Which is the second biggest value? (a) 0 (b) g (c) 2 a Let k = 1.2 + -2. Let l = -9 + 8. Let s = k - l. Which is the second smallest value? (a) 0 (b) s (c) -1/5 a Suppose -12 = 5*k - 3*q, 8*k - 16 = 3*k - 4*q. Let d be (k - 0) + 3/7. Let m = 5/11 + -26/33. Which is the third biggest value? (a) 0.2 (b) m (c) d b Let g(s) = -s - 6. Let z be g(-5). Let f = 4.01 + -4.01. Let y = -6.97 + 7. What is the second biggest value in f, y, z? f Let h = 17.99 + -18.39. Which is the biggest value? (a) -0.2 (b) -1/6 (c) h (d) 3 d Let d = -25.3 - 3.7. Let k = 30 + d. What is the third biggest value in -0.4, k, 2/5? -0.4 Let i = 0.05 - -2.95. Let v = -3512 + 14047/4. What is the smallest value in i, 0.3, -1/2, v? -1/2 Let l = -3/2 - -31/18. Which is the biggest value? (a) -2/5 (b) l (c) -1/376 b Let m = -9.32 - -11.32. What is the biggest value in 1/2, 0, 3, m? 3 Suppose 0 = 5*x + x + 336. Let k be 18/x + 42/56. Which is the smallest value? (a) k (b) 1/2 (c) -2 c Let t = 32 + 12. Let m be (-194)/(-22) + 8/t. Let s = 11 - m. What is the third biggest value in 3, -2/7, s? -2/7 Let p = -5.51 + 5.2. Let t = 0.81 + p. Let f be ((-6)/(-4))/((-9)/12). Which is the third biggest value? (a) f (b) 2/7 (c) t a Let g(r) = -r - 5. Suppose -6*o + o = -2*w, 4*o - 2 = 2*w. Let q be g(o). Which is the second smallest value? (a) 0.2 (b) -4 (c) -0.5 (d) q d Let d = 1.35 + -2.89. Let j = 1.34 + d. Which is the second biggest value? (a) 2 (b) -5 (c) j c Let z be (-2 - 2)/((-2)/1). Suppose -3 = -z*u + u. Let w be 39/45*u - 3. Which is the third smallest value? (a) 3 (b) 1 (c) w a Let k be 20/8*6/15. Suppose -2*m = -s + k - 8, -4*s - 3*m - 17 = 0. Which is the fourth smallest value? (a) 3 (b) -1 (c) 1/2 (d) s a Let t = -1.793 + 0.173. Let h = 0.38 - t. Let g = -4 - -2. What is the third smallest value in g, -2/13, h? h Let n be ((-315)/42 + 7)*(-10)/3. What is the third smallest value in -3, 4, n? 4 Let y = 7.64 + -2.64. Which is the smallest value? (a) -0.5 (b) y (c) -4 c Let y = -220 + 220.4. Let t be (-1)/6 - 158/(-12). Which is the smallest value? (a) -2 (b) t (c) y a Let h be (-8)/6 - (0 - 1). Let i = -29 - -93.2. Let u = 64 - i. What is the second smallest value in -0.4, h, u? h Let q(v) = v. Let j be q(-2). Let d be (-4)/14 + j/(-14). Let z = -40 - -119/3. Which is the smallest value? (a) d (b) z (c) -5/4 c Let v be (-6)/(-24) - (-5)/(-10). Which is the smallest value? (a) v (b) -2/7 (c) -4 c Let r = -15534/7 - -2220. What is the third biggest value
{ "pile_set_name": "DM Mathematics" }
t of j(q)? 3 Suppose -2*i - 7 = -17. Let u(b) = 4*b**2 - 3*b - 3. What is the units digit of u(i)? 2 Suppose 5*n + 3*y = 3, 3*n - 9*y + 4 = -5*y. Suppose n = 2*p - 41 + 7. What is the units digit of p? 7 Let f = -65 + 212. What is the units digit of f? 7 Let g = 1486 + 1641. What is the hundreds digit of g? 1 Suppose 23*f = 11*f + 65160. What is the thousands digit of f? 5 Let z be (-276)/2*(10/4 + -3). Suppose 8*k + z = 9*k. What is the tens digit of k? 6 Suppose 5*h = -4*x + 1199, 2*x - 601 = 11*h - 14*h. What is the tens digit of x? 9 Suppose -3*d = u - 2642, 5*d - 6504 = 4*u - 2129. What is the hundreds digit of d? 8 Let y = 376 - -1519. What is the tens digit of y? 9 Suppose 67*u + 68*u - 587115 = 0. What is the thousands digit of u? 4 Let o(k) = 5*k + 24. Let p be o(-6). What is the tens digit of p/9 - (-800)/12? 6 Suppose 22*f = 4*f + 49086. What is the units digit of f? 7 Let b(t) = 42*t + 2. Let p be b(-1). Let q be 46/10 - 16/p. Suppose -a - 103 = -5*d, -q*d + 4*a + 99 = -13. What is the tens digit of d? 2 Let h(p) = 67*p**2 + 1. Let a be (-4)/(-3) + (-5)/15. Let w be h(a). Let k = w + -39. What is the units digit of k? 9 Let i = -1452 - -2151. What is the hundreds digit of i? 6 Suppose -76*p + 25344 = -52*p. What is the hundreds digit of p? 0 Suppose -24*t = -12*t - 27372. What is the units digit of t? 1 Suppose -5*u = -2*o + 56 + 72, -u - 5*o = 31. Let t(g) = g**3 - 13*g**2 + 43. Let d be t(13). Let j = d + u. What is the tens digit of j? 1 Suppose -3*p + 1 = -4*p. Let d be (-1 + -2)/p - 0. Suppose 227 = 5*m - d*r, 5*m - r - 67 = 152. What is the tens digit of m? 4 Let m be -5*(16/6)/((-15)/(-9)). What is the tens digit of m/((-48)/553) + 2/(-12)? 9 Let y(d) = 43*d**2 + 5*d + 25. What is the units digit of y(-3)? 7 Suppose 7875 + 1260 = 21*z. What is the tens digit of z? 3 Let f(i) = -i + 10. Let g be f(8). Suppose g*t = 5*t - 60. Suppose -2*j + t = -8. What is the units digit of j? 4 Suppose -2*j = 3*j, -3*m = j - 21. What is the units digit of ((-3)/6)/(m/(-1834))? 1 Suppose 2*s - 13 = -5. Suppose -2*v + 200 = 3*v - 5*g, 0 = -s*g - 4. What is the tens digit of v? 3 Suppose j - 29 = t, 2*j - 14 = -5*t + 16. Let n = 35 + j. What is the units digit of n? 0 Let g be (17/(-34))/(2/(-5448)). What is the hundreds digit of (-2)/(-44)*4 + g/11? 1 Let i = 9 + 44. Let g = 55 - i. What is the units digit of g? 2 Let g be (-62)/15 - (-10)/75. Let r(h) = 6 + 4*h**3 + 7*h + 0*h + h**2 - 5*h**3. What is the units digit of r(g)? 8 Suppose 18*g - 12 = 14*g. Let a = 11 + g. Suppose -2*v - a = -46. What is the tens digit of v? 1 What is the hundreds digit of -3*(-29 - 2)*(-70)/(-6)? 0 Let p = -1478 - -2252. What is the tens digit of p? 7 Let d(f) = -f**3 - 12*f**2 - 11*f + 4. Let v be d(-11). Suppose -v*q = -3*q - 64. What is the tens digit of q? 6 Suppose 5*n = -258 + 2673. What is the hundreds digit of n? 4 Suppose 4*k - 2*k - 8 = 0. Suppose -k*u = u - 495. What is the tens digit of u? 9 Let i(r) = r - 1. Let d be i(1). Let u be -1 + d + -2 - -2. What is the units digit of (u - 1)/(1/(-8))? 6 Let g = 42 + -43. What is the hundreds digit of (204 - g)*(-12)/(-12)? 2 Suppose -4*t - 110 = -5*t. Suppose h + 4*h = 10, -4*q + 5*h = -t. Suppose 5*f - q = 4*x, -f + 5*f = 2*x + 24. What is the units digit of f? 6 Let u(d) = -d**3 - 4*d**2 + 10*d + 35. What is the tens digit of u(-11)? 7 Let c be (-400)/(-32) + (-2)/(-4). Suppose g - c = 5. What is the units digit of g? 8 Let p be (234/(-91))/((-1)/(-7)). Let b be ((-52)/8 + 1)*p. Let u = -66 + b. What is the tens digit of u? 3 Suppose 6*p + w - 20 = 3*p, 4*w - 8 = 0. Suppose j = p*j - 820. What is the units digit of j? 4 Let u = 441 + -371. What is the tens digit of u? 7 Suppose -5*i + m - 432 = 5*m, 5*i + 3*m = -434. Let f = i + 153. What is the tens digit of f? 6 What is the units digit of (-2146)/(-18) + 8/(-36)? 9 Let v(w) = -69*w - 203. What is the hundreds digit of v(-5)? 1 Let h(b) = b**2 + 7*b - 32. Let j be h(6). Suppose -3*v - 4*l = -26 - j, -3*v + 5*l = -99. What is the tens digit of v? 2 What is the tens digit of (-24)/(-3) + 3 + (4 - 0)? 1 Suppose 100 = 3*v + 4*l, 0 = -v - l + 4*l + 29. Suppose -16 - v = -3*c. Suppose -4*q + c = -148. What is the units digit of q? 1 Let s = -142 - -145. What is the tens digit of (-1)/(4970/(-1655) + s)? 3 Let a(w) = -w**2 - 10*w + 22. Let b(o) = 2*o**2 + 19*o - 45. Let y(t) = 5*a(t) + 2*b(t). Let v be y(-11). Let n = v + -16. What is the units digit of n? 5 What is the units digit of 10/60*30 + 694? 9 Let h(u) = -u**3 - 4*u**2 + 7*u - 1. Let q be h(-6). Let c = 8 + q. Let l = c + -17. What is the units digit of l? 0 Suppose 0 = -4*o - 35 + 3. Let k be (-4)/(-3)*(-264)/o. Let j = k - 24. What is the tens digit of j? 2 Let q = -15 + 10. What is the tens digit of (20 - q) + -3 - (2 - 1)? 2 Let s = 8381 + -4227. What is the hundreds digit of s? 1 Let a(p) = -2*p**3 + p**2. Let k be a(-1). Suppose -k*x = 5*q - 337, q - 87 = 3*x - 16. What is the tens digit of q? 6 Let x = -353 + 769. What is the tens digit of x? 1 Let k = -13 + 15. Suppose k*d + 6 = 2. What is the units digit of 1/d - 42/(-4)? 0 Let r = -97 - -33. Let j be (1 + 1 - r) + 1. Suppose 4*m - 29 = j. What is the units digit of m? 4 Suppose -257 - 19658 = -5*a + 5*v, 2*a - v - 7966 = 0. What is the hundreds digit of a? 9 Let y be -1 - 12/(-4) - 6. Let u = y + 5. Suppose -q - u = -5. What is the units digit of q? 4 Let h = 68 + -278. What is the units digit of (-40)/(-30)*h/(-4)? 0 Suppose 7*x - 144 = -2*x. Suppose x*u - 400 = 12*u. What is the hundreds digit of u? 1 Suppose 0 = -6*b + 3*b + 75. What is the units digit of b? 5 Let j(x) = 3*x**2 - 30*x + 11. What is the hundreds digit of j(-12)? 8 Let r(s) = 3*s**2 - s - 4. Let m be r(2). Let n = -1 + m. Suppose -n*i + 47 = -48. What is the units digit of i? 9 Let i = -2669 + 4971. What is the thousands digit of i? 2 What is the tens digit of 996*(-5 - (-55)/10)? 9 Let p(r) = -r**3 + 2*r**2 + 5. Let h be (-8)/(-44) - (-2)/(-11). Let c be p(h). Suppose -2*z - c*d - 6 + 123 = 0, 164 = 3*z - 4*d. What is the units digit of z? 6 Let t(a) = a**3 + 23*a**2 - 86*a + 18. What is the units digit of t(-26)? 6 Suppose -4*a + 3164 = 4*n, -7*n - 3176 = -4*a - 5*n. What is the units digit of a? 3 Suppose 0 = -75*c + 82*c - 336. Suppose 2*q + 4*m - 13 = -3, -2*q - 2*m = -20. What is the units digit of (0 - c/(-20))*q? 6 Let i be 10 + (11 - 6) - 6. Suppose 5*l = 13 + 37. Suppose -l*o + 51 = -i*o. What is the tens digit of o? 5 Let s(v) = -v**3 + 2*v**2 + v - 1. Let m be s(2). Let g(y) be the first derivative of 20*y**3 + y**2/2 - y + 6. What is the tens digit of g(m)? 6 Suppose 3*j - 24 = -4*d, -4*j + 4*d = -0*j - 4. Suppose 545 = 4*h + h - j*b, -2*b + 10 = 0. What is the hundreds digit of h? 1 What is the units digit of 6 + (-175)/28 - (-2445)/4? 1 Suppose 317 = 5*h - 2*c, h - 46 - 23 = -c. What is the tens digit of h? 6 Suppose -5*o = 3*h - 873, 0*o + 5*o - 2*h - 893 = 0. What is the hundreds digit of o? 1 Suppose -5*j + 14 + 6 = 0. Let d = -289 + 293. What is the units digit of 53 - (j + 4)/d? 1 Suppose -950*d + 953*d = 11151. What is the tens digit of d? 1 Suppose -4*b = f - 16, -3*b + 5 = -4*f + 3*f. Suppose p = -b*p + 20. Suppose -4*o + 99 = p*d - 0*o, 93 = 5*d - 2*o. What is the units digit of d? 9 What is the hundreds digit of (-280)/(-350) - (-2651)/5? 5 Let p be (-80)/(-50) - (-2)/5. Suppose -1 - 3 = -4*b + 2*g, -p = -4*b + g. Suppose -d + 27 + 0 = b. What is the tens digit of d? 2 Let y(n) = -537*n**3 + 2*n**2 + 2*n. What is the hundreds digit of y(-1)? 5 Let k(y) = -y**3 + 6*y**2 - 6*y + 10. Let u be k(5). Suppose 13 = u*o - 112. What is the units digit of o? 5 Suppose 3*d = -5*z + 6152, 22*z - 4*d = 24*z - 2458. What is the hundreds digit of z? 2 Suppose -3*r + 747 = 2*f, 0*f + 3 = f. Suppose 5*m + 2*v = r, -m - 5*v + 28 + 26 = 0. Suppose -2 - m = -3*x. What is the units digit of x? 7 Let t = 2 + 2. Let f(h) = -h + 13. Let b be f(8). Suppose -6 = 3*j, b*w + 6*j - 156 = t*j. What is the units digit of w? 2 Let z(y) = -y**3 + 6*y**2 - 3*y - 2. Let l be z(3). Suppose 3*k = 4*i + 7*k - l, k - 12 = -5*i. What is the units digit of i? 2 Suppose -17*w + 20*w + 45 = 0. Suppose 0*h = -5*h + 135. Let r = w + h. What is the units digit of r? 2 Suppose -3*k + 2*g = -k
{ "pile_set_name": "DM Mathematics" }
nd 105. 9870 What is the least common multiple of 3756 and 1814? 3406692 What is the smallest common multiple of 16014 and 96084? 96084 What is the lowest common multiple of 342 and 30? 1710 Calculate the least common multiple of 40068 and 162. 120204 Calculate the common denominator of -113/428274 and -149/54. 428274 What is the common denominator of -37/9071 and -73/3? 27213 What is the common denominator of 121/48430 and 61/2? 48430 What is the least common multiple of 7132 and 3566? 7132 Calculate the lowest common multiple of 15120 and 281232. 1406160 What is the common denominator of -19/200544 and 31/352? 2205984 Calculate the common denominator of 31/840 and -125/918. 128520 Find the common denominator of 58/3 and -9/50374. 151122 Calculate the least common multiple of 21 and 1401659. 4204977 Calculate the common denominator of -11/602870 and -21/301435. 602870 What is the lowest common multiple of 34239 and 12? 136956 What is the smallest common multiple of 3 and 7317027? 7317027 What is the lowest common multiple of 367887 and 169794? 2207322 What is the common denominator of 49/264 and 17/38940? 77880 Calculate the common denominator of -83/692 and 47/4152. 4152 What is the smallest common multiple of 203 and 783? 5481 Calculate the common denominator of -107/10 and -79/68528. 342640 Find the common denominator of -73/2538 and -115/324. 15228 Find the common denominator of 37/50 and 64/805735. 8057350 What is the common denominator of 139/8328 and 139/24984? 24984 What is the lowest common multiple of 147744 and 456? 147744 Calculate the common denominator of -79/358620 and -21/69500. 8965500 Find the common denominator of -11/548848 and -127/617454. 4939632 What is the common denominator of 37/23250 and -34/5735? 860250 Calculate the smallest common multiple of 1109186 and 14. 7764302 Calculate the lowest common multiple of 49631 and 3. 148893 Find the common denominator of -71/142527 and 31/61083. 427581 What is the least common multiple of 80 and 10620? 42480 Find the common denominator of -25/7348 and 52/1353. 903804 Calculate the least common multiple of 17777 and 1479. 906627 Calculate the common denominator of 51/237130 and 39/59798. 6876770 What is the lowest common multiple of 915756 and 12? 915756 What is the common denominator of 1/7315 and 20/3? 21945 What is the least common multiple of 8112 and 3042? 24336 What is the least common multiple of 36180 and 120? 72360 What is the common denominator of -49/80 and -17/79320? 158640 Calculate the smallest common multiple of 17622 and 84906. 933966 Find the common denominator of -127/2380 and 89/47838. 478380 Calculate the least common multiple of 322653 and 3144. 2581224 What is the least common multiple of 102306 and 306? 306918 What is the common denominator of 29/3 and -95/15578? 46734 Calculate the common denominator of 65/4824 and -73/65727. 525816 Calculate the least common multiple of 352925 and 6175. 4588025 What is the least common multiple of 8308 and 4? 8308 Find the common denominator of 71/24208 and 97/544. 48416 What is the smallest common multiple of 15134 and 84? 90804 What is the least common multiple of 184 and 470442? 1881768 What is the smallest common multiple of 14343 and 23905? 71715 What is the least common multiple of 5280 and 10120? 121440 Calculate the common denominator of -11/14 and 83/377090. 377090 Calculate the smallest common multiple of 1244908 and 49. 8714356 Calculate the common denominator of -40/10879 and 5/6923. 76153 Calculate the common denominator of -11/4660 and 167/3060. 712980 What is the least common multiple of 96596 and 2728? 2125112 What is the lowest common multiple of 10 and 245572? 1227860 Calculate the lowest common multiple of 14392 and 10280. 71960 What is the common denominator of -131/180 and -167/2430? 4860 Calculate the smallest common multiple of 8001 and 889. 8001 What is the common denominator of -109/183372 and -5/5782? 1283604 Find the common denominator of 28/38587 and -7/893. 733153 Calculate the lowest common multiple of 381941 and 14. 763882 Calculate the common denominator of 67/8216 and -107/20540. 41080 Calculate the smallest common multiple of 137255 and 1067. 1509805 Find the common denominator of -56/54153 and -8/261. 1570437 Find the common denominator of -52/240705 and -125/12. 962820 Find the common denominator of -85/76 and -115/27588. 27588 Calculate the least common multiple of 130 and 286. 1430 Calculate the common denominator of 95/8232 and -115/82908. 1160712 What is the common denominator of 55/249 and -19/7553? 22659 What is the smallest common multiple of 7 and 706477? 4945339 Calculate the common denominator of -101/255 and -14/527. 7905 What is the smallest common multiple of 5714 and 155? 885670 Calculate the lowest common multiple of 528 and 85008. 85008 Calculate the least common multiple of 15 and 93472. 1402080 What is the smallest common multiple of 163566 and 2097? 163566 What is the least common multiple of 190 and 8858? 841510 What is the common denominator of 17/4226358 and -139/6? 4226358 Calculate the lowest common multiple of 1180 and 177. 3540 Calculate the smallest common multiple of 66 and 1683. 3366 Calculate the lowest common multiple of 465 and 3705. 114855 What is the smallest common multiple of 28176 and 144? 84528 Calculate the common denominator of 17/60 and -8/11. 660 What is the smallest common multiple of 3848 and 38480? 38480 Calculate the least common multiple of 45 and 86994. 434970 Calculate the common denominator of -19/256 and 79/28416. 28416 What is the least common multiple of 3479 and 23359? 163513 Find the common denominator of -79/7930 and 57/550. 436150 Calculate the least common multiple of 5 and 24086. 120430 What is the common denominator of 47/10288 and 97/11574? 92592 What is the common denominator of 79/70272 and -1/128? 70272 What is the common denominator of -22/7 and 113/1414? 1414 Calculate the common denominator of -31/660 and 107/24992. 374880 What is the lowest common multiple of 42 and 219268? 657804 Find the common denominator of -41/9290 and 101/114. 529530 Calculate the common denominator of 97/24302 and -22/3771. 218718 Calculate the lowest common multiple of 148050 and 5922. 148050 What is the least common multiple of 2410 and 964? 4820 Calculate the common denominator of 75/23038 and 33/14. 161266 Find the common denominator of -53/18 and -43/184. 1656 What is the least common multiple of 2160 and 296? 79920 Calculate the smallest common multiple of 65223 and 14494. 130446 What is the lowest common multiple of 12 and 5598? 11196 What is the smallest common multiple of 26715 and 1370? 53430 What is the common denominator of -77/100 and 121/6450? 12900 What is the least common multiple of 11336 and 52? 11336 What is the lowest common multiple of 103152 and 252? 309456 Calculate the common denominator of 43/58338 and 121/5556. 116676 What is the common denominator of -43/214240 and -75/471328? 2356640 Find the common denominator of 23/208486 and 75/2. 208486 What is the smallest common multiple of 584172 and 120? 5841720 What is the common denominator of 127/57540 and 83/57540? 57540 Calculate the common denominator of 37/27510 and -13/3. 27510 Calculate the smallest common multiple of 7366 and 10266. 1303782 What is the common denominator of -59/39712 and 53/79424? 79424 What is the smallest common multiple of 17001 and 13223? 119007 Calculate the common denominator of 17/9570 and 63/74. 354090 What is the common denominator of -89/28224 and -47/640? 282240 Calculate the common denominator of -89/429 and 1/2574. 2574 What is the smallest common multiple of 396 and 19404? 19404 What is the common denominator of -71/18630 and -49/1728? 596160 What is the common denominator of 57/22960 and 7/6112? 8770720 Calculate the least common multiple of 27716 and 9529. 20315828 Calculate the smallest common multiple of 621 and 243. 5589 What is the least common multiple of 16 and 19280? 19280 Find the common denominator of 93/2 and -85/101052. 101052 Calculate the common denominator of -23/50645 and 79/1050. 1519350 Calculate the smallest common multiple of 6475 and 8806. 220150 Find the common denominator of 157/2700 and -127/11070. 110700 Wh
{ "pile_set_name": "DM Mathematics" }
- 4)*(m + 6)*(3*m + 2)/7 Solve -3*w**2/4 - 177*w/4 = 0. -59, 0 Determine g, given that -5*g**5/4 + 35*g**4/2 - 305*g**3/4 + 100*g**2 + 55*g - 140 = 0. -1, 2, 4, 7 Determine t so that -3*t**5/2 + 3*t**4/2 + 63*t**3/2 + 33*t**2/2 - 102*t - 90 = 0. -3, -2, -1, 2, 5 Find t such that -3*t**3 - 10*t**2 + 27*t + 10 = 0. -5, -1/3, 2 Factor -35*b**3 - 65*b**2 + 260*b - 160. -5*(b - 1)*(b + 4)*(7*b - 8) Find x, given that -4*x**5 - 72*x**4 + 12*x**3 + 224*x**2 + 144*x = 0. -18, -1, 0, 2 Solve -4*l**3 - 156*l**2 - 1296*l + 1456 = 0 for l. -26, -14, 1 Solve 4*f**3/3 + 20*f**2 - 208*f/3 + 48 = 0 for f. -18, 1, 2 Let -5*m**2 - 15*m = 0. What is m? -3, 0 Find m, given that 20*m**5 - 505*m**4 + 3785*m**3 - 6415*m**2 - 8305*m + 2420 = 0. -1, 1/4, 4, 11 Factor a**2 + a - 12. (a - 3)*(a + 4) Factor g**5/6 - 7*g**4/6 + 5*g**3/2 - 13*g**2/6 + 2*g/3. g*(g - 4)*(g - 1)**3/6 Solve -2*n**2/5 - 416*n/5 + 418/5 = 0 for n. -209, 1 Determine h, given that -h**2 + 76*h = 0. 0, 76 Factor 9*c**5 + 54*c**4 + 30*c**3 - 208*c**2/3 + 83*c/3 - 10/3. (c + 2)*(c + 5)*(3*c - 1)**3/3 Suppose -3*r**4 + 110*r**3 - 177*r**2 + 70*r = 0. What is r? 0, 2/3, 1, 35 Find h such that -h**3/5 + 229*h**2/5 - 2599*h - 2645 = 0. -1, 115 Factor 2*r**3/3 - 406*r**2 + 82418*r - 16730854/3. 2*(r - 203)**3/3 Let d**2 + 4*d = 0. What is d? -4, 0 Let 2*z**4 - 78*z**3 - 712*z**2 - 1848*z - 1504 = 0. Calculate z. -4, -2, 47 Factor 2*b**5 - 124*b**4 - 798*b**3 - 1224*b**2. 2*b**2*(b - 68)*(b + 3)**2 Factor -2*t**4 + 34*t**3 + 74*t**2 + 38*t. -2*t*(t - 19)*(t + 1)**2 Factor -r**4 - 8*r**3 + 20*r**2 + 288*r + 576. -(r - 6)*(r + 4)**2*(r + 6) Solve f**3/4 + 49*f**2/4 - 40*f - 52 = 0 for f. -52, -1, 4 Factor s**5/5 - 144*s**4 + 41472*s**3 - 5971968*s**2 + 429981696*s - 61917364224/5. (s - 144)**5/5 Factor 9*j**3/2 - 397*j**2 + 2471*j/2 - 255. (j - 85)*(j - 3)*(9*j - 2)/2 Factor 2*w**3/21 + 4*w**2/7 - 6*w/7 - 4/3. 2*(w - 2)*(w + 1)*(w + 7)/21 Suppose -3*z**2 + 726*z - 43923 = 0. What is z? 121 What is a in -a**2/2 + 13*a/2 + 7 = 0? -1, 14 Find r such that -2*r**2/7 - 4*r/7 - 2/7 = 0. -1 Factor 32*x**3/7 - 684*x**2/7 - 452*x/7 + 264/7. 4*(x - 22)*(x + 1)*(8*x - 3)/7 Let -r**5/4 - r**4 + 6*r**3 + 5*r**2/2 - 71*r/4 + 21/2 = 0. Calculate r. -7, -2, 1, 3 Suppose -5*p**3/2 - 150*p**2 + 335*p/2 + 915 = 0. What is p? -61, -2, 3 What is v in -45*v**4 + 219*v**3 - 150*v**2 - 24*v = 0? -2/15, 0, 1, 4 Solve 5*t**2 + 4760*t + 23675 = 0 for t. -947, -5 Find a, given that -4*a**5 - 28*a**4 + 276*a**3 - 468*a**2 = 0. -13, 0, 3 Factor -9*s**4/7 + 444*s**3/7 - 21*s**2. -3*s**2*(s - 49)*(3*s - 1)/7 Find c such that -2*c**3/17 - 6*c**2/17 + 2*c/17 + 6/17 = 0. -3, -1, 1 Let 5*b**4 + 1685*b**3 + 191475*b**2 + 7577415*b + 27352620 = 0. What is b? -111, -4 Factor 121*r**4 - 2860*r**3/3 + 16372*r**2/9 + 2080*r/9 + 64/9. (r - 4)**2*(33*r + 2)**2/9 Factor 4*q**2 + 17416*q + 18957316. 4*(q + 2177)**2 Factor 4*h**3 - 13776*h**2 + 15814848*h - 6051815168. 4*(h - 1148)**3 Factor 2*u**2 - 1574*u/3 + 524/3. 2*(u - 262)*(3*u - 1)/3 Solve 48*s**5 + 4*s**4 - 196*s**3 - 16*s**2 + 16*s = 0. -2, -1/3, 0, 1/4, 2 Find t such that t**3/8 + 19*t**2/2 - 79*t/2 + 40 = 0. -80, 2 Factor 2*t**2/9 - 26*t/9 - 20/3. 2*(t - 15)*(t + 2)/9 Factor -g**2/3 + 26*g - 1457/3. -(g - 47)*(g - 31)/3 What is q in -3*q**2/7 + 48*q/7 + 675/7 = 0? -9, 25 Solve -4*f**4 - 120*f**3 + 412*f**2 + 528*f = 0. -33, -1, 0, 4 Find n such that 5*n**2 - 220*n = 0. 0, 44 Let -q**2/9 + 53*q/9 + 110/9 = 0. Calculate q. -2, 55 Factor 33*f**3 + 27*f**2 - 6*f. 3*f*(f + 1)*(11*f - 2) What is y in -28*y**5/3 + 8*y**4/3 + 84*y**3 + 40*y**2/3 - 368*y/3 + 32 = 0? -2, 2/7, 1, 3 Let 4*h**5/3 - 71*h**4/3 + 314*h**3/3 - 469*h**2/3 + 50*h + 24 = 0. What is h? -1/4, 1, 2, 3, 12 Determine n, given that 3*n**3 + 954*n**2 + 75843*n = 0. -159, 0 Let -28*y**5/3 - 100*y**4 - 976*y**3/3 - 384*y**2 - 256*y/3 + 64 = 0. What is y? -6, -2, -1, 2/7 Let 5*p**2 + 715*p + 4760 = 0. What is p? -136, -7 Determine v so that 15*v**4 + 729*v**3 + 1827*v**2 + 1527*v + 414 = 0. -46, -1, -3/5 Find v, given that 12*v**5/5 - 10*v**4 + 18*v**3/5 + 78*v**2/5 - 14*v/5 - 12/5 = 0. -1, -1/3, 1/2, 2, 3 Let -2*a**2/15 + 440*a/3 + 734/5 = 0. Calculate a. -1, 1101 Let -4*b**2 + 196*b - 1560 = 0. What is b? 10, 39 Solve 3*x**2 + 5706*x + 2713203 = 0. -951 Let 2*m**2 - 48*m - 50 = 0. What is m? -1, 25 Factor -720*z**3 + 2680*z**2 - 2765*z + 490. -5*(4*z - 7)**2*(9*z - 2) Factor 3*w**5 + 36*w**4 + 24*w**3 - 114*w**2 - 171*w - 66. 3*(w - 2)*(w + 1)**3*(w + 11) Solve -12*n**3 + 148*n**2 + 920*n + 544 = 0 for n. -4, -2/3, 17 Factor 2*f**2/7 - 2*f/7. 2*f*(f - 1)/7 Determine u, given that -7*u**5/6 - 3*u**4/2 + 19*u**3/6 + 41*u**2/6 + 4*u + 2/3 = 0. -1, -2/7, 2 Factor -3*n**3 + 234*n**2 + 723*n + 486. -3*(n - 81)*(n + 1)*(n + 2) Factor -3*d**4 - 21*d**3 - 12*d**2 + 36*d. -3*d*(d - 1)*(d + 2)*(d + 6) Determine u, given that -2*u**4/11 + 82*u**3/11 - 298*u**2/11 + 62*u/11 + 444/11 = 0. -1, 2, 3, 37 Let 4*f**2 - 20*f - 24 = 0. Calculate f. -1, 6 Suppose -f**3 + 17*f**2 - 14*f - 32 = 0. What is f? -1, 2, 16 Factor 3*y**3 + 66*y**2 + 225*y + 162. 3*(y + 1)*(y + 3)*(y + 18) Suppose 24*c**5/5 - 44*c**4/5 - 28*c**3/5 + 32*c**2/5 + 16*c/5 = 0. Calculate c. -2/3, -1/2, 0, 1, 2 Determine u so that -375*u**5 + 4750*u**4/3 + 4265*u**3/3 + 198*u**2 - 212*u/3 - 40/3 = 0. -2/5, -1/5, 2/9, 5 Find u, given that -u**3 - 20*u**2 + 9*u + 180 = 0. -20, -3, 3 Find a such that -8*a**4/5 - 6*a**3 + 848*a**2/5 + 654*a/5 - 216/5 = 0. -12, -1, 1/4, 9 Factor 3*s**4 + 12*s**3 - 18*s**2 - 108*s - 81. 3*(s - 3)*(s + 1)*(s + 3)**2 Suppose 3*f**5 + 9*f**4 - 45*f**3 - 165*f**2 - 18*f + 216 = 0. What is f? -3, -2, 1, 4 Factor 14*x**5 - 86*x**4 + 206*x**3 - 242*x**2 + 140*x - 32. 2*(x - 2)*(x - 1)**3*(7*x - 8) Factor k**2/3 - 5*k/3. k*(k - 5)/3 Let -4*f**4/5 - 4*f**3/5 + 4*f**2/5 + 4*f/5 = 0. What is f? -1, 0, 1 Solve r**3 - 550*r**2 + 74513*r + 306916 = 0. -4, 277 Suppose 36*j**3/5 - 1176*j**2 + 7792*j/5 - 2592/5 = 0. Calculate j. 2/3, 162 What is p in 28*p**5 - 7988*p**4 + 26052*p**3 - 30508*p**2 + 14672*p - 2256 = 0? 2/7, 1, 282 What is y in -5*y**3 - 30*y**2 - 15*y + 50 = 0? -5, -2, 1 Determine s, given that -20*s**5 + 52*s**4 + 324*s**3 - 260*s**2 - 752*s - 240 = 0. -3, -1, -2/5, 2, 5 Determine u, given that -u**3/2 - 4*u**2 - 15*u/2 = 0. -5, -3, 0 Find f such that -2*f**2/9 + 400*f/9 - 20000/9 = 0. 100 Factor -2*y**2/3 + 62*y/3 - 20. -2*(y - 30)*(y - 1)/3 Factor -2*b**2 - 12624*b - 19920672. -2*(b + 3156)**2 Suppose 2*w**2/17 + 110*w/17 + 108/17 = 0. What is w? -54, -1 Factor 5*u**4 - 5*u**3 - 390*u**2 - 1600*u - 1760. 5*(u - 11)*(u + 2)*(u + 4)**2 Suppose -z**3 - 185*z**2 - 366*z = 0. What is z? -183, -2, 0 Factor -2*y**2/7 + 172*y - 4784/7. -2*(y - 598)*(y - 4)/7 Factor 4*i**3 + 1612*i**2. 4*i**2*(i + 403) Factor -4*c**3/3 + 172*c**2 - 5092*c - 89780/3. -4*(c - 67)**2*(c + 5)/3 Determine m so that -2*m**2/5 + 4*m/5 + 6 = 0. -3, 5 Suppose 2*l**2/7 - 13112*l/7 + 21490568/7 = 0. What is l? 3278 Suppose x**2/5 - 97*x/5 + 96/5 = 0. Calculate x. 1, 96 Find m such that 3*m**3/2 - 39*m**2/2 + 9*m + 108 = 0. -2, 3, 12 Factor -m**3/7 + m**2/7 + 8*m/7 - 12/7. -(m - 2)**2*(m + 3)/7 Let -3*c**2/5 + 813*c/5 - 162 = 0. What is c? 1, 270 Find j such that -3*j**2 + 168*j - 2109 = 0. 19, 37 Factor -g**3/5 + 17*g**2/5 - 31*g/5 - 273/5. -(g - 13)*(g - 7)*(g + 3)/5 Suppose -2*v**4/7 - 218*v**3/7 - 7992*v**2/7 - 101088*v/7 - 93312/7 = 0. Calculate v. -36, -1 Solve 35*r**5 - 605*r**4 + 1990*r**3 - 520*r**2 = 0. 0, 2/7, 4, 13 Factor f**3/3 + 4*f**2/3 - 9*f - 30. (f - 5)*(f + 3)*(f + 6)/3 Factor h**4/9 - 31*h**3/9 + 59*h**2/9 - 29*h/9. h*(h - 29)*(h - 1)**2/9 What is j in 3*j**5/5 - 6*j**4/5 - 24*j**3/5 - 6*j**2/5 + 21*j/5 + 12/5 = 0? -1, 1, 4 Factor -4*p**2 + 128*p + 132. -4*(p - 33)*(p + 1) Factor -3*a**2/7 + 228*a/7 - 495. -3*(a - 55)*(a - 21)/7 Solve 3*y**2 + 873*y - 1758 = 0 for y. -293, 2 Factor 15*z**2 - 910*z + 600. 5*(z - 60)*(3*z - 2) Factor -x**5/8 + 2295*x**4/8 - 1053405*x**3/4 + 483512895*x**2/4 - 221932418805*x/8 + 20373396046299/8. -(x - 459)**5/8 Suppose 3*r**3 + 232*r**2/3 - 52*r/3 = 0. Calculate r. -26, 0, 2/9 Suppose 2*h**2 + 3758*h/7 + 1608/7 = 0. Calculate h. -268, -3/7 Factor -2*b**4 - 10*b**3 + 48*b**2 - 8*b - 64. -2*(b - 2)**2*(b + 1)*(b + 8) Factor 32*m**5 + 254*m**4 +
{ "pile_set_name": "DM Mathematics" }
pose 22 = 4*f + k, 25 = 3*f + a*k + 2*k. What is the greatest common divisor of f and 55? 5 Suppose -o + 5 = -2*o. Let t be (-1 + 2)/(o/(-40)). What is the greatest common divisor of 8 and t? 8 Let t(r) = r**3 - 5*r**2 - 6*r + 9. Let o be t(6). Let y be 6/o - (-268)/3. Let p = -13 - -23. Calculate the highest common divisor of p and y. 10 Let r = -22 - -33. Let w be ((-231)/(-28))/(6/16). What is the greatest common factor of w and r? 11 Let m = 124 + -34. Suppose -o - 11 = 4. Let r be o/4*16/(-6). What is the highest common divisor of r and m? 10 Let y = -43 - -79. Suppose 0 = 3*i + i - y. What is the highest common factor of 63 and i? 9 Let v be (-3 - -4)/((-4)/(-16)). What is the greatest common factor of v and 6? 2 Let t = -15 + 18. Suppose b = -r + 2*b + 159, 155 = r - t*b. What is the greatest common factor of 23 and r? 23 Let y(f) = -20*f - 2. Let a be y(-2). Let r(l) = -4*l. Let z be r(6). Let v = z + a. What is the highest common factor of 35 and v? 7 Suppose -7*m - 4 = -3*m. Let k be (-3)/(m/(-3)*-1). What is the highest common divisor of 45 and k? 9 Let h be 50 - ((-4)/(-2) - 1). Let v be (-3 + 0)*(-28)/3. Let m = h - v. What is the greatest common divisor of 3 and m? 3 Let w be (16/1)/(2/3). Let y = w - 2. Suppose -55 = -7*b + 2*b. Calculate the greatest common divisor of y and b. 11 Suppose 3*u - 2*u - 6 = 0. Let r(c) = c**2 + 5. Let a(k) = k**2 + k - 1. Let t be a(-3). Let z be r(t). What is the greatest common divisor of z and u? 6 Let a be (-145)/10*(2 + -16). What is the greatest common divisor of a and 29? 29 Suppose -2*w - 4 = -28. What is the highest common divisor of 24 and w? 12 Suppose 0 = d - 5*q - 31, 2*q - 14 = -5*d + d. Calculate the greatest common divisor of d and 42. 6 Suppose o - 5*o = 0. Suppose o = 5*c - 10*c + 520. Let x(d) = -5*d - 2. Let q be x(-3). Calculate the highest common divisor of q and c. 13 Suppose 4*m = -4*b + 80, 0 = 4*b - 3*m - 126 + 32. Calculate the greatest common factor of b and 198. 22 Suppose -v + 65 = -l - 4*l, 0 = 5*l. What is the greatest common divisor of v and 52? 13 Let l(n) = 14 - 6*n + 4*n - 2*n + 3*n. Let w be l(0). What is the greatest common divisor of w and 112? 14 Let q be (-2*(1 + 0))/(-1). Suppose 3*v = 3*m, -3*v + 20 = q*m - 0*v. Suppose m*c = c + 30. What is the greatest common divisor of c and 5? 5 Let j = 34 - 21. Calculate the highest common divisor of 39 and j. 13 Suppose -4*s + 32 = -b, 4*s - 3*s - 8 = -2*b. Suppose 16 = 2*t - s. Calculate the greatest common divisor of t and 8. 4 Let n(t) = -6*t. Let l be n(-1). Let u = -153 - -315. Suppose 4*s - u = s. What is the highest common factor of l and s? 6 Let s = -38 + 92. Suppose 61*h - 63*h - 174 = -5*b, -4*b + 3*h + 135 = 0. What is the highest common divisor of s and b? 18 Let j be 2*(14 + -4 + 0). Calculate the greatest common divisor of 160 and j. 20 Suppose 0 = 2*g - 16 + 4. Let a be g/(-45) + (-94)/(-30). Calculate the highest common divisor of a and 21. 3 Suppose 0*f = 2*f - 20. What is the greatest common divisor of 4 and f? 2 Let v = 38 + -29. What is the greatest common divisor of 72 and v? 9 Suppose -2*g + 2*s = -34, -3*g - 2*s - 97 = -8*g. Calculate the highest common divisor of g and 42. 21 Let z be (-10)/(((-15)/(-27))/(-5)). Let s = 109 - 73. What is the highest common divisor of z and s? 18 Let a(o) be the first derivative of -o**2 + o - 1. Let r be a(-4). Let m be (-2*1 - -4) + r. Calculate the highest common factor of m and 55. 11 Suppose -10*i = -i - 63. What is the greatest common factor of 35 and i? 7 Suppose 11*g = 72 + 27. Calculate the highest common factor of 9 and g. 9 Suppose 6 = y + 3. Suppose n - y*i - 116 = 0, -65 = 3*n - 2*i - 399. Calculate the greatest common factor of 10 and n. 10 Let x(v) = v - v**2 - 7*v - 8 - 3*v. Let z be x(-7). What is the highest common divisor of z and 42? 6 Suppose 81 = 4*w - 31. What is the greatest common factor of w and 7? 7 Let y = 186 + -184. Let t = 24 + 18. Suppose -302 = -y*m - t. Calculate the greatest common factor of m and 13. 13 Let o = -10 - -2. Let i be (-2)/8 - 130/o. What is the highest common factor of 112 and i? 16 Let o = 3 - 3. Let g(a) = a**2 + o*a**2 + 0*a**2 - 6. Let u be g(-5). What is the highest common factor of u and 209? 19 Let b = 7 - 5. Let m be -11*b*(-3)/6. Suppose 2*a + 2*c - 5 = c, -2*a + 5*c + m = 0. What is the highest common factor of a and 6? 3 Suppose 854 = 5*k - 4*o, 166 = 2*k - k + 4*o. What is the greatest common divisor of 34 and k? 34 Let o = -6 - -2. Let a = o - -3. Let n(k) = -153*k**3 + k**2 - k - 1. Let h be n(a). What is the greatest common divisor of h and 14? 14 Let z be ((-1)/2)/(-1)*12. Let d be 51*2/z*1. What is the highest common factor of 119 and d? 17 Let q(f) be the second derivative of f**5/20 + 5*f**4/12 + 2*f**3/3 + 3*f**2/2 - 5*f. Let p be q(-3). Calculate the highest common divisor of 1 and p. 1 Let n(q) = -q - 1. Let o be n(-2). Let w be (0 - o)*(-1 + 2). Let b = w - -3. What is the greatest common factor of b and 1? 1 Suppose 71 = -t + 6*t + 4*b, 0 = -3*t + 3*b + 48. Calculate the greatest common factor of t and 15. 15 Let g(y) = 169*y**2 - y - 2. Let a be g(-1). What is the highest common factor of a and 42? 42 Let n = -6 - -4. Let f be -2 - -1*(17 + n). Calculate the greatest common factor of f and 78. 13 Suppose 2*q = q + 154. Suppose 0 = f - 2*f + 5. Suppose 70 = -0*m + f*m. Calculate the greatest common divisor of q and m. 14 Let y = -151 + 213. Calculate the greatest common divisor of y and 248. 62 Let z(t) = -3*t**2 + 2*t - 2. Let s(p) = -10*p**2 + 6*p - 6. Let m(a) = 2*s(a) - 7*z(a). Let b be m(3). Calculate the highest common divisor of 15 and b. 5 Let a be -2*3*21/(-7). Suppose b + 288 = 2*j, 0*b = 4*b. What is the greatest common divisor of a and j? 18 Let s(r) = 3*r**2 + r + 1. Let i be s(2). Suppose 2*t + 4*m + i = -3*t, -m = -4*t + 9. Calculate the highest common factor of t and 7. 1 Let i(o) = -o + 13. Let g be i(-5). What is the highest common factor of 45 and g? 9 Suppose 0 = -7*f + 2*f - 2*j + 886, 0 = 5*f - j - 877. Suppose m + 3*m = f. Calculate the highest common divisor of 11 and m. 11 Suppose 20 + 10 = 5*v. Calculate the greatest common factor of 6 and v. 6 Suppose m = 4 - 0. Let x(q) = 2*q - q**2 - 2 + m*q**2 - q + 0*q**2. Let h be x(3). What is the highest common divisor of 7 and h? 7 Suppose -3 = -4*j + 13. Let f = -2 - -14. Calculate the greatest common factor of f and j. 4 Suppose -4*f = -0*f - 604. Let j = 261 - f. Let u = -19 - -29. What is the greatest common divisor of j and u? 10 Suppose -5*c = -2*b + 266, 0 = b - 5*c + 8 - 131. What is the highest common factor of 13 and b? 13 Let u be ((-2)/3)/(8/(-12)). Let j(t) = t**2 + 8*t + 5. Let c be j(-6). Let p = 14 + c. What is the highest common divisor of u and p? 1 Let y(k) = -2*k**3 - 2*k**2 + 3*k + 2. Let f be y(-2). Let i = -36 + 68. What is the highest common factor of f and i? 4 Suppose 0 = -0*w + 2*w + 4*h - 42, 4*w - 29 = 3*h. Suppose 2*x - 3*x = -w. Calculate the greatest common factor of x and 11. 11 Let t = -314 + 523. What is the greatest common divisor of 19 and t? 19 Let m = 40 - 29. What is the highest common factor of 99 and m? 11 Let a(f) = 4*f + 2. Let c = 6 + -2. Let k be a(c). Let n = k + -5. What is the greatest common factor of 26 and n? 13 Let n be ((-9)/6)/(1/(-2)). Suppose 2*q + n*z = 5*q, 2*z = -q + 12. Suppose -5 = 4*k - 21. What is the highest common factor of q and k? 4 Suppose k + 3*r - 16 = 4*r, k = -2*r + 4. Suppose -3*w = i - 16, 4*i - 2*w - 32 = -6*w. Suppose i*u - 14 = 322. What is the greatest common divisor of u and k? 12 Let r be 2/((-16)/(-26))*4. Let l = 313 + -162. Let p = l - 86. What is the greatest common divisor of r and p? 13 Suppose -l + 9*l - 480 = 0. What is the highest common divisor of 30 and l? 30 Let x = 64 + -46. Calculate the greatest common divisor of 198 and x. 18 Suppose 5*w - 132 - 43 = 0. Let v be 206/14 - (-10)/w. What is the highest common factor of v and 60? 15 Let x(m) = -m**3 + 7*m**2 + m + 5. Let p be x(7). Calculate the greatest common divisor of p and 6. 6 Let x = -6 + 0. Let v be (-64)/x - (-3)/9. Calculate the greatest common divisor of 77 and v. 11 Let t(a) = 5*a**2 - a - 1. Let s(w) = 6*w**2 - 2*w - 2. Let m(l) = -2*s(l) + 3*t(l). Let q be m(-3
{ "pile_set_name": "DM Mathematics" }
z*x**3 + l*x**2 + m*x + n and give z. 183 Rearrange 91*s + 22 + 24 - 48 - 232*s to the form m + i*s and give i. -141 Rearrange 3*f**3 - 21*f**3 - 15*f**3 + (0 + 0 + f**3 + (5*f + f - 4*f)*(5 + f**2 - 5))*(-3 + 1 - 2) to l*f**2 + x + v*f + w*f**3 and give v. 0 Express 198*g**4 - 2 + 224*g**4 - 2*g + 3*g - g**2 - 441*g**4 as v*g + k + d*g**4 + c*g**3 + r*g**2 and give d. -19 Rearrange -51 - 825*p**2 - 73 + 124 + (0*p + p - 4*p)*(-4*p - 2*p + 5*p) to the form i + t*p**2 + h*p and give i. 0 Express 5*a**2 - 10*a**4 - 2*a**2 - 2*a**2 + 67*a**3 - a - 65*a**3 as i*a + s*a**4 + v + g*a**2 + y*a**3 and give g. 1 Express 3 - 3 - 2*j**3 + (87*j**2 - 138 + 138)*(-4*j + 4*j - j) as z*j**2 + q + n*j + s*j**3 and give s. -89 Rearrange (2*v + v - 10*v)*(2 + 0 - 1)*(17 + 11*v - 17 + (-2 + 2 + 2)*(v + 5*v - 4*v)) to s*v**2 + o + c*v and give c. 0 Rearrange 1 - 25*d**2 - 12*d**2 - 36*d**2 + 2*d**2 to x*d + f + v*d**2 and give f. 1 Rearrange -32 + 33 + 32*v + 22*v - 12*v to the form j + t*v and give j. 1 Rearrange (-9*z + 106*z - 5*z)*(0 + 1 + 1)*(3*z - z - z) to v*z + q*z**2 + m and give q. 184 Express (16*v + 16 - 2*v - 16*v)*(-5 + 0 + 3) + (-3*v + 2*v - 4*v)*(-4 + 4 - 1) in the form d*v + n and give n. -32 Express (2 - 6 + 3)*(150316 + 830*j - 150316) as x + z*j and give z. -830 Express 27*n + 38 - 28*n + n**2 + 350*n**4 - 347*n**4 in the form j + l*n**2 + a*n + o*n**4 + g*n**3 and give j. 38 Rearrange (-147 + 54 + 62 - 6*z**2)*(z - 2 + 2) + 5*z**3 + z**3 - 5*z**3 to the form m*z + a + o*z**3 + g*z**2 and give o. -5 Rearrange (-8*m**3 + 13*m**3 + 22*m**3)*(-12*m + 298 - 298) to the form w*m + x*m**2 + p + o*m**4 + g*m**3 and give o. -324 Rearrange -36 + 0 + 2*d**3 + 2*d**2 + 3*d**4 + 34 + 3*d to a + s*d**3 + l*d**4 + c*d**2 + i*d and give s. 2 Rearrange 9 + 6 + 527*z - 526*z to g + k*z and give k. 1 Express (-71 - 2 + 9)*((-2*q + 3*q + 0*q)*(-4 + 2 + 0) - 5 + 5 + 6*q) in the form w + b*q and give b. -256 Rearrange -5*c**2 - c + 7*c**2 - 28*c**2 + (0*c + 2*c - 3*c)*(2*c - 3*c - 2*c) to n*c**2 + w + a*c and give n. -23 Express 15*c**2 - 17*c**2 + c**4 + 3*c - 6*c + c - 27 - 2*c**3 in the form z*c + q*c**2 + f*c**4 + j + o*c**3 and give f. 1 Express -37*y - 2757 + 2757 - 136*y in the form b*y + t and give b. -173 Express (-1 - 3 + 1)*(120 + x + 103 + 72 - 2*x**2) in the form p*x + b + q*x**2 and give q. 6 Express (0*x**4 + 2*x**4 - 5*x**4)*(-7 - 8 + 16)*(-2 + 12 + 11) in the form f*x**2 + p + y*x + a*x**4 + j*x**3 and give a. -63 Rearrange (-2 + 2 - s)*((s - 3*s - s)*(-3 + 4 + 0) + 3*s + 0*s - 5*s) + (-1 + 2 - 5)*(-s**2 + 0*s + 0*s) to the form n*s**2 + o + m*s and give n. 9 Rearrange 0*i**2 + 2*i**2 + 25 - 2*i - 23 + i**4 + 5*i**2 to h*i**2 + s*i**4 + f + d*i + j*i**3 and give s. 1 Express 3*h**3 + 9*h + 10*h**4 + 5*h**3 - h**3 + 1 - 8*h**3 + 0 in the form k*h**2 + z*h**4 + r*h + c*h**3 + v and give c. -1 Express 48 + 2*c**3 - 25 + 19 as v*c**2 + j*c + i*c**3 + p and give i. 2 Express -10 - 1 + 2*z**4 - 3*z - 3*z**3 - z**3 + 2*z**3 as a*z + t*z**2 + g*z**4 + j*z**3 + o and give o. -11 Rearrange (-79*x + 21*x + 24*x)*(12*x**2 + 6 - 4 + 1) to d + g*x**3 + k*x**2 + n*x and give n. -102 Rearrange (3*t - 2*t**2 - 3*t)*(3 + 0 - 4) + 12*t - 7*t - 33*t**2 + t**2 to i + w*t**2 + d*t and give d. 5 Rearrange 15*v**3 - 3*v**4 - 2*v + 0*v - 21*v**4 - 14*v**3 - 3 to the form g*v**4 + n*v**3 + b*v**2 + c*v + i and give i. -3 Express 16*s - 12*s - 12*s + ((1 + 0 + 0)*(-s - 1 + 1) - s + 5*s - 2 + 1)*(-4 + 1 + 5) as f*s + h and give h. -2 Express -9*d**2 + 3 - 192*d + 21*d**2 - 15*d**2 - 3 in the form k*d + f + c*d**2 and give c. -3 Rearrange -9 - 86*b + 243*b - 73*b - 75*b to the form d + g*b and give d. -9 Rearrange (-12 + 14 + 39)*(15 - 25*v - 15)*(-6*v + 2*v**3 + 6*v) to s*v + t*v**3 + w + l*v**4 + q*v**2 and give l. -2050 Express (-2 - 2*b + 2)*(-3 + 4 - 2)*(-125 + 259 - 168)*(5*b - 3*b - 3*b) + 4*b**2 - b + b as d*b**2 + q + a*b and give d. 72 Rearrange (-3 - 1 - 2)*(-37 + 17*o - 36 + 75) to the form k*o + m and give k. -102 Rearrange -8 - 2*f**2 - 34*f + 57 + 36*f to the form w*f**2 + t + l*f and give l. 2 Express -10*v - 6 + 3*v - 12*v**4 + 6*v + 4*v**4 in the form g*v + z*v**4 + n + r*v**2 + d*v**3 and give z. -8 Rearrange (0 + 2*j + 0)*(-2 - 3 + 6)*(2 - 4 + 1)*(-627624 - 598*j**3 + 627624) to the form c*j**4 + o*j + l*j**2 + a*j**3 + d and give c. 1196 Rearrange 11*p**2 - 758*p + 3*p**2 + 765*p to the form f*p + d + z*p**2 and give z. 14 Rearrange -496*g - 3*g**2 + 498*g + 21*g**2 + 2 to the form y*g**2 + b*g + f and give f. 2 Rearrange 2627*f + 118*f**2 - 2627*f to s*f + v + t*f**2 and give t. 118 Express -33 + 65 - 32 + 9*p + 5*p**2 as h*p**2 + j*p + u and give h. 5 Rearrange (0*z + 0*z - 3*z)*(-3 + 2 + 5)*(4 - 7 - 5) to a*z + t and give a. 96 Rearrange (-58 + 1166 - 506)*(2 - 2 - 3*m) to y*m + q and give y. -1806 Express (1 - 1 - f)*(-538*f**3 + 497*f**3 - 1116*f**3 - 1382*f**3 - 186*f**3) as q*f**4 + l + o*f + v*f**2 + p*f**3 and give q. 2725 Express 3 + 2*l**2 - 2*l**2 + l**2 - 12*l + l**2 in the form n*l**2 + i*l + y and give n. 2 Express 3*h**2 + 4*h**2 - 4*h**2 + (0*h + h - 2*h)*(3 - 3 - 3*h) - h**2 + 5*h**2 - 3*h**2 as j*h + n + x*h**2 and give x. 7 Express -2*m - 8*m + 19*m - 7*m - 104 as h + d*m and give d. 2 Rearrange 0 - 22*d**4 + 24*d**4 + 44*d - 4 + 2*d**3 + 7 to z*d**2 + s*d**4 + u + m*d + c*d**3 and give s. 2 Rearrange 15*f - 19*f - 5*f - 44*f**2 + 9*f - 1 to z*f + d*f**2 + c and give d. -44 Rearrange (26 - 9 - 5)*(-3 - 2 + 3)*(3 - 8 + 1)*(-1 + 3 - 3)*(-5*c - 7*c - 4*c) to the form s + t*c and give s. 0 Express -3*z - 4*z - 193*z as a*z + p and give a. -200 Express (50*s - 2*s + 21*s)*(1 + 2 - 4)*(-5*s**2 + 2*s**2 + 0*s**2) in the form n + y*s**2 + k*s + u*s**3 and give u. 207 Express 8*i - 6*i + 2130 - 2307 as u*i + z and give u. 2 Rearrange (-a + 0*a + 0*a)*(52*a - 2471 + 2471) to the form n + s*a**2 + z*a and give n. 0 Rearrange -13*p + 372*p**3 - 2 + p - 370*p**3 to t*p**3 + w*p + y*p**2 + v and give w. -12 Express -2*v - 2*v + 2*v + 7*v + 2*v**4 - 2*v - 95*v**2 + v**3 in the form t*v**4 + n*v + r*v**2 + u + a*v**3 and give t. 2 Rearrange -22*z - 14*z + 18 + 59 + 32*z + 5*z to the form p*z + b and give p. 1 Rearrange (4*t - 4*t - 5*t - 2)*(-1 - 2*t**2 + 1) - 8092*t + 8092*t - 47*t**3 to y*t**2 + i*t + v*t**3 + r and give v. -37 Rearrange -4 - 8 + 5 + 21*c to k + l*c and give l. 21 Express 1380*o**3 - 1410*o**3 - o + 1 - 3*o**2 + 3*o as c*o**2 + b + p*o + g*o**3 and give g. -30 Express -65*m - 59*m - 31*m in the form d + i*m and give i. -155 Rearrange -72 - t**2 + 14*t**3 - 5*t**3 + 74 to z*t**3 + j*t + v*t**2 + c and give z. 9 Express 387*i + 664*i - 4 + 4 - 185*i in the form r*i + o and give r. 866 Express (-3*h**3 + 5*h**3 - h**3)*(0 + 0 - 1)*(-2 + 1 + 3)*(-8 - 4 + 4) in the form d*h**3 + w*h**2 + r*h + a and give d. 16 Express 0 + 50*p**3 - 1 - p - 18*p**2 + 10*p**3 - 3*p**4 + 2*p**4 + 17*p**2 in the form g*p**2 + x*p**3 + c*p**4 + z + o*p and give c. -1 Rearrange (m**2 + 3*m - 3*m)*(-1 + 1 - 2*m) - 115*m**2 - 45*m**3 + 115*m**2 to the form j*m**3 + a + s*m + o*m**2 and give j. -47 Express -184 + 4*y + 88 + 98 - 37*y + 3*y as u*y + v and give v. 2 Rearrange -a + 2*a + 2*a + (4*a - 3*a - 2*a)*(0 - 2 + 0) + (-4 + 4 - 3*a)*(-1 - 2 + 6) - 25 - 9*a + 25 to q*a + y and give q. -13 Rearrange -114 - 111 - 117 + 9*d + 345 + (0*d - 2*d + 3*d)*(-3 - 3 + 4) to the form r*d + p and give r. 7 Rearrange (9 + 1553*w + 15 - 1555*w)*(5*w - 5*w + 3*w**3)*(-5 + 4 + 2) to q*w + n*w**3 + x*w**2 + i*w**4 + c and give n. 72 Express 23*g**2 - 15335 + 15335 + 18*g as k*g**2 + d + j*g and give k. 23 Express -48 + 515*v - 62 - 510*v + 34 as d*v + k and give d. 5 Rearrange ((-4 + 3 + 3)*(1 + 1 - 3) + 11 - 4 - 4)*(-1 - 4*k + 3 + 9*k) to the form r + u*k and give u. 5 Rearrange 57 + 65 - 181 - 4*n + 61 to m*n + y and give y. 2 Rearrange 46*f**2 - 42*f**2 + 1 - 6 - 2*f**4 - f**3 - 9*f to x + t*f + l*f**3 + i*f**4 + a*f**2 and give a. 4 Express r + r - r + (-6 + 1 + 4)*(-3*r - 4*r + 4*r) + 3*r - 7*r + 3*r - 55*r + 739 - 739 as w + z*r and give w. 0 Rearrange 8*d**3 + 31 + d - d**2 + 7*d**3 - 17*d**3 + 23 to the form u*d + x*d**3 + b + o*d**2 and give o. -1 Express ((14 + 11 + 14)*(-1 + 4 - 4) - 4 + 2 + 4 + (-1 - 2 + 2)*(-1 - 3 + 3))*(-4*k**2 + 3*k**2 + 2*k**2) in the form n
{ "pile_set_name": "DM Mathematics" }
h + 1 = 2*n for n. -1 Suppose 0 = -2*g + 74 - 48. Let p(w) = -w**2 + 9*w + 55. Let f be p(g). Solve -r + o - 2*o = 0, -f*r + o = -12 for r. 3 Suppose -109 + 56 = -g - 4*m, 2*g + 5*m = 109. Suppose -47*k + g*k = 320. Solve -3*w + 16 = f, k = f + 3*f + 4*w for f. 4 Suppose 11 = 3*t + 5*w, -9*t = w - 27 + 8. Solve 5*u = 2*b + t, -3*b + 0*b - u + 14 = 0 for b. 4 Let r(y) = -2*y**2 + 17*y + 33. Let h be r(10). Let q be 6 + h/3*-1. Solve -s + 2*a = -7, 5 = q*s - 7*a + 3*a for s. -3 Suppose 0 = 7*k - 17 + 3. Suppose -2*u + 29 = 5*h, 3*u + 4*h = k*h + 16. Solve u*b + b + p - 5 = 0, -2*b + 5 = p for b. 0 Let p = -225 + -80. Let w = -300 - p. Solve -4*z - 12 = -3*m, 2*m - 8 = -w*z + z for m. 4 Suppose -432 = -919*i + 4163. Let d(p) = p**3 + 4*p**2 + 2*p - 1. Let m be d(-3). Solve 0 = 5*v - m*a + 14, 4*v - 2*a + 2 = -i*a for v. -2 Suppose 53 = -3*u + 5*u - 3*h, 2*u = 2*h + 52. Solve -5*o = -4*t - 36, 0 = -4*o - u*t + 23*t + 8 for o. 4 Let a = -137 + 254. Let v(f) = 4*f**2 - f + 4*f - a*f**3 + 116*f**3. Let z be v(-1). Solve -m - 4*x + 2 - 1 = 0, -x - 11 = -z*m for m. 5 Let r = -10 + 10. Let d be ((-1)/(-1) + -7)*-1. Suppose -7*g + d*g + 4 = 0. Solve -h + 4*p + 7 = r, 8 = -g*h - 4*p + 2*p for h. -1 Let l be 2/(-9) + (-40)/(-18). Let b be (-12 - -15)/((-135)/60 - -3). Solve -5*v + l*i + i = -15, b*v = -i - 5 for v. 0 Let k be (64/40)/(2/10). Solve 0 = 4*x + 2*r + 12, -x - 2*r - 5 = -k for x. -5 Let q be (-8)/10 + ((-21)/3)/35. Let l be 6 - ((1 - q) + 1). Solve -4*c + 0*b - b = 0, 5*c = -l*b for c. 0 Let m(t) = -11*t - 622. Let v be m(-58). Solve -4*s = -2*l + v, 4*s = -4*l - 26 - 2 for l. -2 Suppose 416 = 63*x - 1159. Solve 2*d - 2*c + 9 = -7, x = -5*d + 2*c for d. -3 Suppose 5*f - 4*f - 6 = 0. Suppose 0 = -f*i - 118 + 142. Solve 3*k + 1 = 2*d, k + i*d - 5 = 4*k for k. 1 Let n = -447 + 437. Let p be n/6 + 14/3. Solve p*v - 25 = 5*k - 3, 0 = -2*v + 8 for k. -2 Let w = -14606 + 14613. Solve -3*v - i = -8, -4*v = -i - w - 6 for v. 3 Suppose -516 = 13*p - 17*p. Let u = 132 - p. Solve -u*d - 24 = -4*z, -5*z - 3*d + 0 + 3 = 0 for z. 3 Let y(v) be the first derivative of v**3/3 + 7*v**2 + 35*v + 31. Let x be y(-3). Solve -4*a - 5 = 5*r, x*r + 4*a + 4 = -2*r for r. -1 Let l = -37 + 27. Let c be 12/l*(49/(-7) + 2). Solve 0 = 5*g - 2*b + 2, -5*g - 12 = 2*b + c for g. -2 Let m(j) = -3*j**2 + 65*j + 24. Let s be m(22). Solve -5*n + 0*i = -i - 21, 2*n - s*i = 2 for n. 5 Let x be 140/(-6)*27/(-6). Suppose 2*c - 133 + x = 0. Solve 5*n + v + 7 = n, 2*n - c = -4*v for n. -3 Let o be (-285)/(-76) - (-1 - (-49)/28). Solve 5*g - q = 9 - 1, 2*g + 2 = o*q for g. 2 Suppose 142 - 47 = 5*y. Suppose -y*z + 21 = -12*z. Solve -z*h = f - 7, -8*h = f - 3*h - 11 for f. 1 Suppose -45 = -h - 27. Suppose h = 10*b + 8. Solve -a - 2*y = -2, -2*y = 4*a + 3 + b for a. -2 Suppose 6*z = 113 + 49. Suppose -z*s - 10*s = -222. Solve -4*g - 8 + 0 = 3*k, k - 3*g - s = 0 for k. 0 Let r be (-114)/(-30) - 1/(-5). Suppose 0 = -3*b - 0*f - 2*f + 6, -2*b + f + 11 = 0. Suppose -2*o = -0*o - b. Solve -z - 13 = -5*a, -o*z - r + 2 = -2*a for z. 2 Suppose -90*r + 524 = 212*r - 40*r. Solve -21 = -r*g - 15, 2*g + 19 = -5*m for m. -5 Let a(h) = h**2 + 13*h + 11. Let l be a(-11). Let g = -7 - l. Suppose g*y + 3 = 3*r + 3*y, 4*r + 2*y = -6. Solve 3*d + 0*c + c + 1 = 0, r = 2*d - c - 6 for d. 1 Let g be 1/(1 - (-16)/(-17)). Let p(t) = -194*t + 1554. Let m be p(8). Suppose g = 3*q - 5*r + m, -4*r = 4*q - 52. Solve -14 = z - 5*i, q = -z + 2*i + i for z. -4 Suppose 192 = -5*t - 138. Let z = t - -115. Let d = -49 + z. Solve 0 = -4*x + 2*h - d*h - 6, -3*x + 2*h = 5 for x. -1 Suppose -102 = 7*o - 389. Suppose o = 4*n - 195. Suppose 19 = -8*g + n. Solve -g*s + 6 = -3*s, 3*s = -4*h + 29 for h. 5 Let p(c) = c**3 + c**2 + 34*c + 120. Let n be p(-3). Solve n*q - q = -9*a + 6, -4*a + 19 = 5*q for q. 3 Let i = 111 + -111. Suppose i = -4*h + 3*n + 12, 3*h - 5*n = -13 + 33. Solve -4*l - 7 = -r, h = 6*r - 2*r - 2*l for r. -1 Let s be (44 - 44)/(2 - 4). Solve s = -2*r + 2*i + i + 8, 2*r = -5*i - 8 for r. 1 Let f be 5*(1 - (2/(-45) - (-68)/153)). Solve 8*l - 6 = 12*l - g, 0 = f*l - 3*g for l. -2 Suppose 2*z + 25 = -2*k - 3*k, 0 = 4*z - k - 5. Let j be 2/(28/(-12) + 3) + z. Suppose -j - 3 = -2*d. Solve -d*i + 10 = -m, 4 = 3*m + 2*m + 3*i for m. -1 Let b = -440 + 445. Suppose b*a = 2*w + 4, 0*a + 17 = a + 5*w. Solve -2*j + a*c = -3*j + 6, 2*j + 5*c = 16 for j. -2 Let j(t) = -18*t + 657. Let z be j(35). Solve 4*m = 2*b + 2, 0 = -m - 5*b + z - 21 for m. 1 Suppose 285 = 31*m - 128 - 52. Solve -r - 26*k + 31*k = -27, 5*r = k + m for r. 2 Let x(b) = -268*b - 2135. Let f be x(-8). Solve 4*s = 3*g + f, 4*s - 12 = -5*g + 5 for s. 3 Let u = -41 - -93. Suppose 5 - u = -3*b + 4*s, -s = 3*b - 37. Solve -2*d + b - 1 = -3*z, -z + 5*d = 4 for z. -4 Suppose -k = 5*z - 212, 4*z - 86 = 2*z - k. Let a be z/(-9)*24/(-56). Solve 0 = -a*j + 2*g + 4, 3*j = -g + 3*g + 9 for j. 5 Suppose -m = 3*p - 37, 26*p + 4*m - 22 = 23*p. Solve -f + p*u = 16*u + 4, 3*f + 3*u + 3 = 0 for f. 2 Let l = 1820 - 1815. Solve -l*a = -k - 8, -5*k + 12*a + 18 = 16*a for k. 2 Suppose -5*k + 20*k = 300. Suppose 5*r = -q + 28, 3*q - k*r + 16 = -15*r. Solve 4*n = -q*v - 11, -5*v - 3 = 4*n + 2 for n. -5 Let n = 9106 + -9104. Solve -4*q = -19*d + 15*d, 5*q - 3*d + n = 0 for q. -1 Let m be (12/(-20))/(43/(-215)). Solve 4*n - 9 - m = -5*j, 0 = n - 5*j + 22 for n. -2 Suppose o - 3*s - 246 = -4*o, 5*o = -4*s + 267. Suppose 5*a - a = -m + 22, -3*a = -3*m + o. Solve -5*p - 15 = 0, 0*p = -3*j + p + m for j. 5 Let p = 1702 + -1658. Suppose -4*s + 228 = 5*z, s = -3*z + 4 + 137. Let h = z - p. Solve 4*q - 3 = -g, -h*g - 13 = -3*q + 13 for q. 2 Let x = -436 - -613. Let z be 59/x*(-15)/(-1). Solve -2 = 2*v + d, -5 = z*v - 3*d - 0*d for v. -1 Let p = 123 + -87. Let w = p - 68. Let n = 36 + w. Solve -5*s + 22 = 5*i + 2, n*s + 14 = 2*i for i. 5 Let d = -957 - -961. Solve -9 = -2*b + d*q - 3, q = 2*b + 6 for b. -5 Let u be (-2)/(-5) + (-1166)/(-110). Suppose -u*y + 27 = -17. Solve -a = 2*n + a - 4, -a + 14 = y*n for n. 4 Let j(k) = -4*k**3 - k**2 - 7*k - 6. Let i be j(-1). Solve 4*a = -3*c - 22, 3*a = 2*c + a - i for c. -2 Suppose -4*i = -9 + 1. Suppose 0 = -k - k - 50. Let f be -35*((-30)/k)/(-3). Solve 3*j - i*g + f = -6*g, -g = 2 for j. -2 Suppose 23*m - 49 + 34 + 15 = 0. Suppose g - 5*g = 0. Solve m = n - 2*t - 2 + 6, g = 3*n + 2*t - 12 for n. 2 Let a = 372 + -357. Suppose -5*i + 23 = -3*f, 2*i + 3*i - 5*f = a. Solve -4*j - 4 = 4*v, -v - 11 = i*j - 4*j for v. 4 Suppose -26 = 11*t - 279. Suppose 16 + t = 13*b. Suppose 0*i - 15 = -3*i. Solve -z = b*j + 9, -i*z = j - 6 + 23 for j. -2 Let u be 6/4*(-7)/(105/(-40)). Suppose 0 = -u*i + 2*h - 3*h - 118, 3*h = 5*i + 156. Let x be 8/((-9)/(81/i))*5. Solve -14 = d + 3*v, -d = 5*v - x + 36 for d. 1 Let l be 45/6*(24/(-30))/(36/(-30)). Solve 2*m + 216 - 223 = l*x, -5*m = 2*x - 3 for x. -1 Let h = 28 + -9. Suppose 10*g + 20 = 14*g. Let i(s) = 24*s - 141. Let v be i(6). Solve k - h = g*c, -c - 8 = v*k + k for c. -4 Suppose -6*w = 6*w - 360. Let l be (-1*(-18)/(-30))/((-9)/w). Solve l*p - 8 = -x, 11 = -3*x + 5*p - 9 for x. 0 Let z be (-1092)/(-286) - (-6)/33. Solve 9*k - 4*s = 5*k + z, 3*k + 22 = -2*s for k. -4 Let k(c) = -117*c - 459. Let p(h) = 23*h + 92. Let n(t) = 4*k(t) + 21*p(t). Let f be n(-6). Solve f = 2*y, -3*x = -2*x + 2*y - 9 for x. 3 Let y = 200 - 197. Suppose -y*x - 26 = -5*r, 5*x = -16*r + 12*r + 43. Solve 4*u + 5 = -r, p + u = -4 for p. -1 Suppose -s - 3 = 0, -2*j + 15 = 3*j - 5*s. Suppose 5*q = -j*q + 65. Let k(t) = t - 11. Let v be k(q). Solve 3*d + 5 + v = 5*o, d = -4 for o. -1 Let y = -370 - -400. Solve 0 = -4*s + 4*d + 20, 2*d - y = -4*s - 10 for s. 5 Suppose 2*n - 2 = -4*d + 5*d, n - 1 = d. Let a(y) = y**3 - y**2 + 7*y + 10. Let g be a(d). Solve 2*b - g = v + 5*b, 4*v - 5*b - 45 = 0 for v. 5 Let f be (-2)/(-3) + (-2)/3. Suppose -4*l = 2*o - 4 - 24, 4*l - 48 = 3*o. Let z be l*-2*8/((-144)/6). Solve 5*p = 20, f = z*r - r + p + 11 for r. -3 Let z(c) = c**2 - 36*c + 71. Let s be z(2). Let a be -4 - -7 - (-1 - -1). Solve 0*u - 27 = -s*y + a*u, 0 = 3*y + u - 7 for y. 4 Suppose -5*h - 2 = f, -40*f + 3*h + 15 = -36*f. Solve 0 = -4*u - p - 12, -u + 8 = u - f*p for u. -2 Let q be 382 + (0 - 6) + 10. Let s = -363 + q. Solve -t - v = 3*v + s, -v + 1 =
{ "pile_set_name": "DM Mathematics" }
-58 Rearrange 30*t**2 - t**3 - 2*t**4 + 2*t - 12*t**2 - 3*t + 3*t**4 to the form o*t**4 + l*t**3 + u + v*t**2 + g*t and give o. 1 Rearrange -2*u**2 + u**2 - 11*u**3 - 24 + 9*u**3 + (10*u + u**3 - 10*u)*(0 + 0 - 4) to j*u**2 + c*u + r + v*u**3 and give r. -24 Express 579*c**4 - 15*c**2 + 4*c**3 - 1 - 577*c**4 - 19*c**2 in the form t + m*c**3 + r*c + s*c**4 + g*c**2 and give t. -1 Rearrange (127*s**2 - 127*s**2 - 123*s**3)*((2 + 2 + 1)*(0*s - 3*s + s) - 3*s - 2*s + 6*s) to d*s**3 + p*s**4 + z*s**2 + m + a*s and give p. 1107 Express (-434*k**2 - 284*k**2 + 942*k**2)*(5 - 4 + 1)*(0*k - 3*k + 2*k) in the form g + j*k**2 + p*k + v*k**3 and give v. -448 Rearrange -2*k**2 + 0*k**4 + k**4 - 233 + 235 + 3*k - 2*k**3 to the form r*k**4 + q*k + o*k**3 + u + s*k**2 and give o. -2 Express (24*t**2 + 9*t - 67*t**2 + 38*t**2)*(0 - 3 + 2) as q + k*t + j*t**2 and give j. 5 Express -151*m**3 - m**2 + 76*m**3 + 1 - 5*m + 69*m**3 + 0 as k + q*m**3 + u*m + c*m**2 and give u. -5 Express 2 - 51*f**2 - 34*f**2 - 43*f**2 in the form v*f + m + t*f**2 and give m. 2 Rearrange 7 + 8 - 19 + 148*x - 22*x + 3 to the form y*x + m and give m. -1 Express (-j + j + 3*j + (1 - 2 + 2)*(5 - 5 - 2*j))*(9 + 0 + 0)*(10 + 50 - 28) in the form s + r*j and give r. 288 Express (-1721*k + 597*k + 790*k + (0 + 0 + 1)*(-5*k + 5*k - 2*k))*(-k + k - 3*k) in the form j*k + u*k**2 + h and give u. 1008 Express -2*v + 2*v + v + ((-2 - 1 + 2)*(2 + 1 - 6) - 3 + 0 + 1)*(-6 + 60*v + 6) as j*v + x and give x. 0 Express (-11 - 21 - 7)*(2*j - 4 + 4 + (-3 + 4 + 0)*(6*j - j - 3*j)) in the form d + t*j and give t. -156 Rearrange (223 + 212*k - 223)*(1 - k + 2 - 5) to the form m*k**2 + u*k + z and give u. -424 Express (-306*h - 158*h + 12*h)*(h + 4 - 4) in the form f*h + y*h**2 + i and give y. -452 Rearrange (-2*j + 0*j + 0*j)*(65*j - 28*j + 216*j) to l*j**2 + g + r*j and give l. -506 Express 2097*k + 572 - 2099*k + k**2 - k**2 - 2*k**3 in the form p*k + f + c*k**2 + o*k**3 and give o. -2 Rearrange ((-7 + w + 7)*(3 - 5 + 1) + (4*w + 4*w - 2*w)*(2 - 3 + 2))*(3 + 3 - 5) to a*w + r and give a. 5 Rearrange n + n**2 + 68 - 3*n**3 - n - 75 to the form v*n + i*n**2 + m*n**3 + z and give z. -7 Rearrange -440*i - 426*i + 949*i to the form s + o*i and give o. 83 Express 152 + 2*m**2 - 2*m**3 - 159 - m**2 in the form q*m + f + r*m**2 + k*m**3 and give f. -7 Rearrange 9*z + 115*z + 2 - 2*z**3 - 3 - 39*z**2 - 36*z**2 + 77*z**2 to j*z**2 + b*z + s + l*z**3 and give j. 2 Rearrange -56 + 4*w + 10*w**4 - 29 + 84 to the form b*w**3 + c*w**2 + k + z*w**4 + u*w and give b. 0 Express 7*b**4 + 226 - 224 - 8*b**2 - b - b**2 in the form n + c*b**4 + t*b**2 + j*b + y*b**3 and give y. 0 Rearrange -4 + 9 + 2 + 3 - 3 - 5*h to the form d*h + t and give t. 7 Rearrange -2 - 1 - 5*f - 18*f**3 - 5 + 6*f to the form c + k*f**2 + z*f**3 + w*f and give c. -8 Rearrange 1 - 1118*r**2 - 2*r**3 - r**4 + 4*r**3 + 1134*r**2 to the form f + c*r**3 + k*r**4 + d*r + b*r**2 and give k. -1 Express (-4 + 4 + 2*i)*(0 + 2*i + 0) + i - i**2 - i - 4*i**2 + 4*i**2 - i**2 - 2 + 2*i - 4*i**2 - 2*i in the form d*i**2 + k + x*i and give k. -2 Rearrange (1 - 1 - 4*s)*(1 + 1 - 9) - 2*s + 2*s - s + (-1 + 1 + 2 + (1 - 5 + 1)*(-1 - 3 + 3))*(-3*s + 0*s + 2*s) to the form n*s + w and give n. 22 Rearrange -13*r**3 - 57 + 17*r**3 - 5*r**3 to the form h + p*r**2 + o*r + i*r**3 and give p. 0 Rearrange (1 + 3 - 3)*(2*t - 1 + 1) + (12 + 10 - 26)*(-5 + 14*t + 5) to the form d + b*t and give b. -54 Rearrange -2 + v**2 + 31*v + 3 + 3*v**2 - 30*v to u*v**2 + x + b*v and give x. 1 Rearrange (0*x**2 + 0*x**2 + 3*x**2)*(-13 + 9 - 14) to o*x**2 + l + z*x and give l. 0 Express -221*l - 21 + 19 + 29*l in the form c + p*l and give c. -2 Rearrange -13 + 37*z - 19 - 224 - 36*z to the form q + p*z and give q. -256 Rearrange (-9 + 91*q**2 - 45*q**2 - 45*q**2)*(-2*q**2 + 11*q**2 + 17*q**2) to the form c*q**2 + z*q**3 + l*q + h + k*q**4 and give c. -234 Express 11*f**3 - 807*f**2 + 9*f**3 - 49 - 11*f**3 + 805*f**2 in the form c + k*f**2 + v*f**3 + h*f and give c. -49 Rearrange -2*n - 156*n - 36*n + 2 to the form g + h*n and give h. -194 Express -6 - 4*r**2 - r**4 - 2369*r + 2369*r in the form i*r + a*r**4 + w + y*r**2 + k*r**3 and give w. -6 Rearrange 3*s**3 + 0*s**3 - 9*s**3 + (7*s**2 - 3*s**2 - 5*s**2)*(s + 6*s - 4*s) - 2*s**3 - 2*s**3 + 2*s**3 to d*s**3 + l*s**2 + v*s + w and give d. -11 Express 5 - 14*i**3 - 1 + i - 5 - 12*i**4 + 13*i**3 as l*i**4 + h*i**2 + y*i + x + m*i**3 and give y. 1 Express 138*v + 535*v + 22*v - 45*v in the form g*v + b and give g. 650 Express ((-3 - 1 + 6)*(-2 + 2 + 3*y) + 5*y - y - 13*y)*(0*y**3 - 14*y**3 - 9*y**3) as q*y**2 + c + h*y + n*y**3 + o*y**4 and give o. 69 Rearrange 9*p - 13 - 19 + 31 - 2*p + 1 - 1 - p + 5*p - 3*p + (-3 + 3 - p)*(3 - 2 + 1) + p - p + 2*p to the form w*p + o and give w. 8 Express j**3 - 9 - 6 + 353*j**2 - 2 - j**4 - 354*j**2 as o*j**3 + g*j + b*j**2 + d + w*j**4 and give d. -17 Rearrange -g**4 + 0*g - 89 + g**2 - g + 85 to the form y*g + r*g**4 + p + q*g**2 + m*g**3 and give r. -1 Express -5*v - 8*v - 5*v + 13*v in the form u + w*v and give w. -5 Express 248*n**3 - n**2 + 261*n**3 - 508*n**3 + 2 - 100*n**4 in the form g + u*n + o*n**3 + q*n**4 + r*n**2 and give o. 1 Rearrange 4*h**2 - 4*h**2 + 4*h**2 - 30 - 5*h**2 to s*h**2 + y + u*h and give s. -1 Express (2 - 5 + 1)*(-r - 1 + 1) + 3*r + 3 - 3 + (1 + 1 + 4)*(-4*r + 0*r + 5*r) + r - 3*r + 0*r in the form v + l*r and give l. 9 Rearrange -85 + 127 + 3*g + 149 - 2*g to the form h + b*g and give h. 191 Express -347*k + 313*k - 334*k as l + h*k and give h. -368 Express (-5*g + 9*g + 5*g)*(-18 - 5 + 1)*(0 - 3 + 1) as l*g + m and give l. 396 Express (2*w + 2*w - w)*(-45*w + 124*w + 315*w) in the form m*w**2 + c*w + l and give m. 1182 Express (4*l - 1 + 1)*(400*l + l**2 - 400*l) as i*l + y*l**2 + u*l**3 + j and give y. 0 Express 562*c**2 + 70*c**2 + 487*c**2 as u + s*c + f*c**2 and give f. 1119 Express 115 - 1172*c + 0 - 115 as l*c + f and give l. -1172 Express -2*t**3 + 2 + 4*t**4 + 0*t + 4*t**4 - 6*t**4 - 2*t + 28*t**2 - 27*t**2 in the form a*t**3 + u*t**2 + p*t + v + r*t**4 and give v. 2 Rearrange 54*n**3 + 4*n**2 - 55*n**3 - 3*n**2 + n + 28*n - 3*n**4 + n**2 to the form s*n**4 + z*n**3 + u*n**2 + g*n + a and give a. 0 Rearrange (0 - 4 - 4)*((0 - 4 + 3)*(1 - 1 - c) + 14*c - 3*c - 50*c) to the form o*c + v and give o. 304 Rearrange -4 + 6 - 5 - 69*t**2 + 9*t + 77*t**2 to k + r*t**2 + d*t and give d. 9 Express -4621*k - 2*k**2 - 3*k**4 - 7*k**3 - 5 + 4621*k as r*k + y*k**3 + p*k**4 + j + d*k**2 and give d. -2 Rearrange (0*h - 603 + 600 + 8*h)*(h - 4*h + 4*h) to k*h + m + y*h**2 and give k. -3 Express -64*t - 55*t - 2*t**3 + 179*t + 8*t**2 - 65*t + 4 in the form a*t**2 + d*t**3 + h*t + p and give h. -5 Rearrange (-3 + 4 + 2)*(0 - 2 + 0)*(4*q**2 + 5*q**2 + 9*q**2) to l*q + x*q**2 + z and give x. -108 Express 3*h**2 - 6*h + 3 + 2*h**3 + 0*h - h**4 - 3*h**3 + 7*h in the form c*h + o*h**2 + y*h**4 + p + s*h**3 and give p. 3 Rearrange -23 + 44*a - 28 + 53 to the form h*a + g and give h. 44 Express (-4*i + 0*i + 3*i)*(-138*i**2 + 426 - 426)*(3 - 1 - 1) in the form c + t*i**3 + w*i**2 + l*i and give t. 138 Express -856*b + 1832*b - 902*b as d*b + w and give d. 74 Express r**3 + 6 - 70*r**2 + 36*r**2 - 4*r**4 + 34*r**2 as x*r**2 + t + j*r**3 + z*r + c*r**4 and give c. -4 Rearrange (-6 + 6 + 3*h**2)*(-159*h + 165*h**2 + 159*h)*(-3 + 0 - 1) to the form y*h + a*h**2 + s*h**4 + b + g*h**3 and give s. -1980 Express (-3*r - r + 0*r)*(3 + 1 - 1)*(-2*r**2 + 1 - 1) - 6*r**2 + 6*r**2 + 18*r**3 as y*r**3 + q + v*r + p*r**2 and give y. 42 Rearrange (0 - 2*r + 0)*(2*r**2 + 0 + 0) + 2*r**3 - 2*r**3 + 2*r**3 + 2319 + 7*r**3 + 4*r**2 - 2317 - 3*r**2 to the form v*r**3 + z*r**2 + f*r + x and give v. 5 Express (0*u**2 + 3*u**2 - 4*u**2)*(-1 - 1 + 4 + (5 - 2 - 1 - 2 + 2 + 2 + (2 - 1 - 8)*(-6 + 3 + 0))*(-2 - 5 + 0)) as y*u**2 + r*u + w and give y. 173 Rearrange -399*k**3 + 393*k**3 + 1 + 9*k - 2 to w*k**2 + u*k + a + n*k**3 and give a. -1 Express -2*o**4 + 82*o - 2*o**3 + 87*o - 3 - 166*o in the form l*o**3 + j*o**4 + i*o + p*o**2 + d and give j. -2 Rearrange 344*t**3 + 41 + t**2 - 17 - 9 - 15 to the form y + u*t**3 + c*t + r*t**2 and give c. 0 Rearrange (278*j**2 - 271*j**2 - 280*j**2)*(-3*j**2 + j**2 + j**2) to the f
{ "pile_set_name": "DM Mathematics" }
4 AM? 191 How many minutes are there between 11:03 AM and 6:22 PM? 439 How many minutes are there between 7:52 PM and 6:47 AM? 655 How many minutes are there between 8:28 AM and 1:05 PM? 277 How many minutes are there between 8:39 AM and 1:09 PM? 270 How many minutes are there between 2:17 AM and 10:00 AM? 463 How many minutes are there between 6:57 AM and 7:57 AM? 60 How many minutes are there between 11:10 AM and 8:19 PM? 549 What is 612 minutes before 5:34 AM? 7:22 PM What is 184 minutes before 8:58 AM? 5:54 AM What is 102 minutes after 5:18 AM? 7:00 AM How many minutes are there between 5:10 PM and 7:44 PM? 154 What is 82 minutes after 11:15 PM? 12:37 AM How many minutes are there between 1:48 AM and 9:27 AM? 459 How many minutes are there between 6:11 AM and 10:57 AM? 286 How many minutes are there between 4:34 AM and 8:29 AM? 235 How many minutes are there between 12:15 PM and 9:28 PM? 553 What is 444 minutes after 3:44 AM? 11:08 AM What is 102 minutes after 10:48 AM? 12:30 PM How many minutes are there between 12:30 PM and 8:30 PM? 480 What is 414 minutes after 7:28 AM? 2:22 PM How many minutes are there between 1:39 PM and 2:23 PM? 44 What is 107 minutes after 10:25 AM? 12:12 PM How many minutes are there between 12:05 PM and 1:21 PM? 76 How many minutes are there between 12:06 AM and 9:09 AM? 543 How many minutes are there between 8:24 PM and 3:57 AM? 453 How many minutes are there between 10:11 PM and 2:24 AM? 253 What is 584 minutes after 4:10 PM? 1:54 AM How many minutes are there between 1:35 AM and 10:34 AM? 539 What is 101 minutes after 2:48 AM? 4:29 AM What is 111 minutes after 11:21 AM? 1:12 PM How many minutes are there between 7:35 AM and 6:14 PM? 639 How many minutes are there between 4:20 AM and 7:51 AM? 211 How many minutes are there between 8:12 AM and 7:30 PM? 678 What is 367 minutes after 11:06 PM? 5:13 AM What is 416 minutes before 8:09 AM? 1:13 AM What is 386 minutes before 5:43 AM? 11:17 PM How many minutes are there between 5:19 AM and 10:44 AM? 325 How many minutes are there between 10:22 AM and 6:30 PM? 488 How many minutes are there between 2:38 AM and 1:08 PM? 630 How many minutes are there between 11:15 AM and 5:43 PM? 388 What is 274 minutes after 12:36 AM? 5:10 AM How many minutes are there between 6:54 PM and 2:02 AM? 428 What is 687 minutes before 4:59 PM? 5:32 AM How many minutes are there between 12:40 AM and 12:00 PM? 680 What is 54 minutes before 10:57 PM? 10:03 PM What is 332 minutes after 6:24 AM? 11:56 AM How many minutes are there between 8:19 PM and 11:05 PM? 166 How many minutes are there between 11:07 AM and 1:42 PM? 155 How many minutes are there between 11:03 PM and 6:28 AM? 445 How many minutes are there between 12:42 AM and 12:22 PM? 700 How many minutes are there between 4:51 AM and 6:28 AM? 97 How many minutes are there between 11:52 AM and 7:46 PM? 474 What is 581 minutes after 7:55 AM? 5:36 PM How many minutes are there between 12:33 PM and 10:40 PM? 607 What is 2 minutes before 1:26 AM? 1:24 AM How many minutes are there between 8:58 AM and 11:08 AM? 130 What is 292 minutes before 7:37 AM? 2:45 AM How many minutes are there between 2:04 PM and 9:27 PM? 443 How many minutes are there between 2:30 PM and 4:25 PM? 115 How many minutes are there between 6:09 AM and 4:05 PM? 596 What is 514 minutes after 7:59 AM? 4:33 PM How many minutes are there between 8:51 AM and 11:12 AM? 141 What is 145 minutes after 7:40 AM? 10:05 AM How many minutes are there between 11:12 AM and 4:33 PM? 321 How many minutes are there between 3:37 AM and 3:39 AM? 2 How many minutes are there between 12:57 PM and 6:57 PM? 360 How many minutes are there between 7:21 AM and 7:30 AM? 9 What is 110 minutes before 10:01 PM? 8:11 PM What is 141 minutes after 7:16 PM? 9:37 PM How many minutes are there between 12:08 PM and 1:58 PM? 110 What is 309 minutes before 2:35 AM? 9:26 PM How many minutes are there between 3:33 AM and 9:33 AM? 360 How many minutes are there between 3:34 PM and 2:56 AM? 682 What is 142 minutes before 8:51 AM? 6:29 AM What is 661 minutes before 4:45 PM? 5:44 AM How many minutes are there between 11:22 AM and 11:21 PM? 719 What is 63 minutes before 4:36 AM? 3:33 AM What is 628 minutes after 11:29 AM? 9:57 PM How many minutes are there between 7:46 PM and 11:23 PM? 217 What is 186 minutes before 6:07 PM? 3:01 PM What is 705 minutes before 6:29 PM? 6:44 AM How many minutes are there between 1:01 PM and 11:11 PM? 610 How many minutes are there between 4:32 PM and 12:15 AM? 463 What is 582 minutes before 9:36 PM? 11:54 AM What is 420 minutes after 5:51 PM? 12:51 AM How many minutes are there between 8:42 AM and 12:19 PM? 217 What is 283 minutes after 8:16 PM? 12:59 AM What is 236 minutes after 7:00 PM? 10:56 PM What is 611 minutes after 4:20 AM? 2:31 PM What is 295 minutes before 5:33 PM? 12:38 PM How many minutes are there between 11:23 PM and 12:11 AM? 48 What is 145 minutes after 9:32 AM? 11:57 AM What is 111 minutes before 9:39 AM? 7:48 AM How many minutes are there between 10:42 AM and 4:54 PM? 372 What is 202 minutes after 10:11 PM? 1:33 AM How many minutes are there between 6:05 PM and 2:13 AM? 488 What is 612 minutes before 2:15 AM? 4:03 PM How many minutes are there between 8:12 PM and 4:00 AM? 468 What is 586 minutes before 2:39 PM? 4:53 AM How many minutes are there between 2:36 AM and 2:26 PM? 710 What is 126 minutes after 10:57 PM? 1:03 AM What is 159 minutes before 5:01 PM? 2:22 PM What is 587 minutes before 7:44 PM? 9:57 AM How many minutes are there between 12:11 PM and 8:32 PM? 501 How many minutes are there between 6:37 PM and 6:25 AM? 708 What is 677 minutes after 1:03 AM? 12:20 PM What is 639 minutes after 1:58 AM? 12:37 PM What is 702 minutes before 7:32 AM? 7:50 PM How many minutes are there between 4:01 AM and 5:00 AM? 59 What is 323 minutes before 12:33 AM? 7:10 PM What is 238 minutes after 10:12 AM? 2:10 PM What is 643 minutes before 3:43 AM? 5:00 PM How many minutes are there between 7:18 PM and 4:03 AM? 525 How many minutes are there between 7:09 AM and 12:32 PM? 323 How many minutes are there between 5:22 AM and 11:34 AM? 372 What is 386 minutes before 11:53 PM? 5:27 PM How many minutes are there between 9:47 AM and 8:18 PM? 631 How many minutes are there between 1:33 AM and 4:20 AM? 167 How many minutes are there between 8:14 AM and 12:29 PM? 255 What is 623 minutes after 11:13 PM? 9:36 AM How many minutes are there between 5:40 PM and 6:49 PM? 69 What is 543 minutes before 9:00 AM? 11:57 PM What is 207 minutes before 8:59 PM? 5:32 PM What is 399 minutes after 7:58 AM? 2:37 PM How many minutes are there between 12:02 PM and 7:27 PM? 445 What is 693 minutes before 12:02 PM? 12:29 AM What is 657 minutes before 6:48 PM? 7:51 AM How many minutes are there between 12:45 AM and 2:14 AM? 89 How many minutes are there between 8:11 AM and 7:38 PM? 687 How many minutes are there between 6:42 PM and 1:24 AM? 402 What is 102 minutes before 1:05 AM? 11:23 PM How many minutes are there between 5:21 AM and 8:52 AM? 211 What is 283 minutes after 4:17 AM? 9:00 AM How many minutes are there between 4:30 AM and 9:32 AM? 302 How many minutes are there between 11:08 PM and 9:51 AM? 643 What is 587 minutes after 4:20 AM? 2:07 PM How many minutes are there between 7:14 AM and 9:54 AM? 160 What is 549 minutes before 1:50 AM? 4:41 PM How many minutes are there between 5:03 PM and 4:04 AM? 661 How many minutes are there between 8:48 AM and 7:18 PM? 630 How many minutes are there between 1:00 PM and 5:03 PM? 243 How many minutes are there between 2:23 AM and 4:42 AM? 139 What is 404 minutes after 12:15 PM? 6:59 PM How many minutes are there between 8:12 AM and 5:40 PM? 568 How many minutes are there between 1:19 AM and 5:56 AM? 277 What is 238 minutes after 9:22 PM? 1:20 AM How many minutes are there between 11:25 PM and 9:10 AM? 585 How many minutes are there between 8:34 PM and 3:18 AM? 404 How many minutes are there between 8:35 AM and 6:40 PM? 605 How many minutes are there between 6:43 AM and 5:14 PM? 631 How many minutes are there between 5:58 AM and 5:02 PM? 664 How many minutes are there between 2:33 PM and 11:49 PM? 556 How many minutes are there between 6:33 AM and 2:58 PM? 505 How many min
{ "pile_set_name": "DM Mathematics" }
Calculate prob of sequence vttv when four letters picked without replacement from {v: 4, t: 3}. 3/35 Calculate prob of sequence pr when two letters picked without replacement from {b: 1, r: 1, a: 2, p: 2, c: 1}. 1/21 Calculate prob of sequence gq when two letters picked without replacement from {v: 1, h: 2, g: 1, b: 1, q: 2, r: 2}. 1/36 Three letters picked without replacement from vjwjj. Give prob of sequence vwj. 1/20 Two letters picked without replacement from nclcccl. Give prob of sequence ll. 1/21 Calculate prob of sequence ep when two letters picked without replacement from epeeeeeeeebee. 11/156 What is prob of sequence ly when two letters picked without replacement from yiyiiyylyilyl? 3/26 Three letters picked without replacement from {x: 1, l: 1, c: 1, t: 2, u: 1, d: 1}. Give prob of sequence lut. 1/105 What is prob of sequence mxxx when four letters picked without replacement from mmxmmmxmxmmmmm? 1/364 Three letters picked without replacement from nklxpnnnpklpkxkkk. What is prob of sequence nln? 1/170 What is prob of sequence gg when two letters picked without replacement from {z: 6, g: 4}? 2/15 Four letters picked without replacement from {f: 2, q: 3}. What is prob of sequence fqqq? 1/10 Three letters picked without replacement from {o: 2, k: 2, u: 1, e: 1, l: 1}. What is prob of sequence kel? 1/105 Calculate prob of sequence hgg when three letters picked without replacement from {h: 7, g: 2}. 1/36 Calculate prob of sequence tacl when four letters picked without replacement from {t: 5, c: 6, a: 2, d: 1, l: 1}. 1/546 Two letters picked without replacement from {j: 1, y: 4, v: 3}. What is prob of sequence jv? 3/56 What is prob of sequence coc when three letters picked without replacement from oocfcooooococ? 8/143 What is prob of sequence nslx when four letters picked without replacement from {c: 2, l: 3, n: 4, s: 6, x: 2}? 3/1190 What is prob of sequence bqy when three letters picked without replacement from {y: 3, b: 1, q: 1}? 1/20 Three letters picked without replacement from {c: 1, p: 1, d: 1, v: 10}. What is prob of sequence cvv? 15/286 Three letters picked without replacement from {u: 5, e: 3, v: 4}. Give prob of sequence uvv. 1/22 Four letters picked without replacement from nnynnnnnnnny. What is prob of sequence ynnn? 4/33 Four letters picked without replacement from qtcqjeqjeeecqceeq. Give prob of sequence cqee. 15/1904 Calculate prob of sequence fa when two letters picked without replacement from {v: 1, b: 4, a: 7, p: 1, f: 2}. 1/15 Four letters picked without replacement from {q: 5, d: 6, n: 3, w: 1, s: 3}. Give prob of sequence qwsq. 1/1224 Four letters picked without replacement from azpep. Give prob of sequence pape. 1/60 Calculate prob of sequence sw when two letters picked without replacement from swgrs. 1/10 Calculate prob of sequence iz when two letters picked without replacement from hxiasszhi. 1/36 What is prob of sequence ttt when three letters picked without replacement from {a: 2, y: 1, d: 4, w: 2, t: 4, k: 2}? 4/455 What is prob of sequence qkkk when four letters picked without replacement from kkkkqkkq? 1/7 Four letters picked without replacement from nnnnnyynn. What is prob of sequence yynn? 1/36 Calculate prob of sequence vwp when three letters picked without replacement from wpwpwvpwpppv. 2/55 Calculate prob of sequence ddo when three letters picked without replacement from notnnttodndn. 1/330 Calculate prob of sequence gcl when three letters picked without replacement from {c: 1, g: 1, l: 1}. 1/6 Calculate prob of sequence nj when two letters picked without replacement from {n: 2, o: 4, g: 10, j: 3}. 1/57 Three letters picked without replacement from {o: 4, n: 7, k: 2, a: 1, w: 1}. What is prob of sequence nkk? 1/195 What is prob of sequence mam when three letters picked without replacement from {a: 2, m: 3, b: 1, j: 1}? 2/35 Four letters picked without replacement from lrllr. Give prob of sequence rlrl. 1/10 What is prob of sequence bo when two letters picked without replacement from amoapbg? 1/42 What is prob of sequence dv when two letters picked without replacement from vgudoug? 1/42 Calculate prob of sequence dnk when three letters picked without replacement from ddoododkxdnpopodd. 7/4080 Three letters picked without replacement from {s: 1, v: 1, w: 2, b: 1}. Give prob of sequence wwb. 1/30 Three letters picked without replacement from fmf. What is prob of sequence ffm? 1/3 Calculate prob of sequence daa when three letters picked without replacement from {a: 9, d: 7}. 3/20 Calculate prob of sequence qq when two letters picked without replacement from qqqq. 1 Four letters picked without replacement from egegvqegqeqge. Give prob of sequence vegg. 1/286 Calculate prob of sequence ggrr when four letters picked without replacement from bxxxrbbggxr. 1/1980 Calculate prob of sequence lh when two letters picked without replacement from llzzzzzlhzllllzlz. 1/34 What is prob of sequence hffa when four letters picked without replacement from fjnmhah? 0 What is prob of sequence kxf when three letters picked without replacement from {x: 2, f: 1, k: 1}? 1/12 Two letters picked without replacement from {y: 2, m: 8, n: 8}. What is prob of sequence mn? 32/153 Two letters picked without replacement from {j: 1, o: 2, i: 4, s: 6, r: 4, y: 2}. Give prob of sequence is. 4/57 Three letters picked without replacement from {g: 5, h: 1, v: 1, q: 1, l: 1}. What is prob of sequence vqg? 5/504 Two letters picked without replacement from pppupuuuuppp. Give prob of sequence uu. 5/33 What is prob of sequence gww when three letters picked without replacement from {t: 7, z: 2, g: 1, w: 8}? 7/612 Three letters picked without replacement from hhujyoo. Give prob of sequence hjh. 1/105 Calculate prob of sequence rrh when three letters picked without replacement from rrnrwhhwww. 1/60 Three letters picked without replacement from {f: 18, z: 2}. Give prob of sequence fzf. 17/190 Four letters picked without replacement from {b: 4, e: 3, r: 3, k: 3, d: 3}. What is prob of sequence kebd? 9/3640 Two letters picked without replacement from mehwllwt. What is prob of sequence wh? 1/28 Two letters picked without replacement from {w: 1, r: 1, c: 1, b: 1, y: 1, a: 2}. Give prob of sequence yw. 1/42 Two letters picked without replacement from crkkmckmrkmkmck. Give prob of sequence kr. 2/35 Calculate prob of sequence ttt when three letters picked without replacement from xhxttthhxhhx. 1/220 What is prob of sequence tyyt when four letters picked without replacement from {t: 8, y: 5}? 28/429 What is prob of sequence wre when three letters picked without replacement from {r: 1, w: 7, e: 1, g: 8}? 7/4080 What is prob of sequence coo when three letters picked without replacement from {c: 11, o: 9}? 11/95 Two letters picked without replacement from {p: 2, y: 1, j: 6, f: 1, b: 3}. What is prob of sequence jb? 3/26 Three letters picked without replacement from qzzw. What is prob of sequence qzz? 1/12 Three letters picked without replacement from {z: 2, a: 4, n: 7}. Give prob of sequence ana. 7/143 Calculate prob of sequence aa when two letters picked without replacement from {a: 18, v: 2}. 153/190 Three letters picked without replacement from ffaaffafdaffdadafdad. What is prob of sequence aaf? 14/285 Calculate prob of sequence rsnd when four letters picked without replacement from rdsnmoodororsmooroo. 1/5814 What is prob of sequence qnw when three letters picked without replacement from {q: 1, e: 2, n: 4, w: 1}? 1/84 Four letters picked without replacement from jjooujuju. What is prob of sequence uooj? 1/126 Four letters picked without replacement from {a: 4, y: 6, h: 1}. Give prob of sequence yahy. 1/66 Calculate prob of sequence wx when two letters picked without replacement from {x: 4, t: 1, w: 1, s: 1, u: 11}. 2/153 Two letters picked without replacement from {r: 3, i: 11}. Give prob of sequence ii. 55/91 Calculate prob of sequence yk when two letters picked without replacement from xllyxglllkxllxglg. 1/272 Three letters picked without replacement from {i: 1, e: 1, v: 12}. What is prob of sequence vei? 1/182 Three letters picked without replacement from cogggbwicgiw. What is prob of sequence gob? 1/330 Calculate prob of sequence dd when two letters picke
{ "pile_set_name": "DM Mathematics" }
- y. Let b = h - -332. What is the remainder when b is divided by 35? 33 Let u(s) = 2*s**2 + 8*s - 1. Let c = 12 - 24. Suppose 2*z = o - 22 - 26, 4*o - 4*z = 192. Calculate the remainder when u(c) is divided by o. 47 Let n(s) = s**2 + 14*s + 35. Let r be n(-11). Suppose 6*t - 2*t - 60 = 0. What is the remainder when r/9 - (-1540)/36 is divided by t? 13 Let f(o) = o**3 + 4*o**2 - 9*o - 17. Let y be f(-6). What is the remainder when 135 is divided by (92/(-10))/(14/y)? 20 Let w(z) = 13*z**3 + 4*z**2 - 13*z + 9. What is the remainder when 2715 is divided by w(1)? 11 Let b(w) = -70*w - 216. Let l be b(-3). Let y(r) = r - 1. Let t be y(-1). Calculate the remainder when 9 is divided by l/(-33) + ((-42)/(-11) - t). 3 Suppose -3*a + 5*g + 20 = 0, 2*g - 6 = -2*a - 2*g. Let f(m) = 4*m + 7. Let q = 1232 - 1216. Calculate the remainder when f(a) is divided by q. 11 Suppose -64*a + 152*a = 8624. What is the remainder when 277 is divided by a? 81 Let n(s) = s - 1. Let d be n(7). Suppose 4*c = d*c - 196. What is the remainder when c is divided by 83/4 + (-39)/52? 18 Let f = 23251 - 23208. Let o(w) = 3*w**2. Let y be o(1). Suppose -y*b = -0*b - 15. What is the remainder when f is divided by b? 3 Suppose 5*r + 165 = m, 3*r - 568 = -4*m - 0*r. Suppose 3*u = -9*u - 4*u + 1168. Calculate the remainder when m is divided by u. 72 Let f = -2 + -260. Let z = 183 - f. What is the remainder when z is divided by 56? 53 Calculate the remainder when 1849 is divided by -7 - (-6 - -6) - (-113 - 3). 105 Let k = 295 + -291. Suppose k + 280 = 2*o. What is the remainder when o is divided by 29? 26 Suppose 0 = 6*w - 17 - 79. Let g(t) = -t**2 + 5*t + 22. Calculate the remainder when w is divided by g(7). 0 Let j(f) = -f**3 + 5*f**2 + 72*f - 224. Calculate the remainder when 1699 is divided by j(3). 9 Suppose p + 194 = -2*p + 2*y, p = 3*y - 53. Let j = p - -70. Suppose -4*b - 3*m = -49, -j*m = 2 + 8. What is the remainder when 72 is divided by b? 8 Let i = 3326 - 3238. Calculate the remainder when 1141 is divided by i. 85 Suppose 0 = -221*z + 226*z - 60. Suppose -9*g - 183 = -z*g. What is the remainder when 242 is divided by g? 59 Let p be (-17)/238 + 86/28. Suppose -4*q - 3*u + 1728 = 0, 675 = p*q - 3*u - 621. What is the remainder when q is divided by 87? 84 Let r be (-22)/(-33)*3/2. Let x be (4 - -2)*((-19)/2 + r). Calculate the remainder when 65 is divided by x*3/(-9)*(-2)/(-2). 14 Suppose -745*s + 761*s - 74336 = 0. Calculate the remainder when s is divided by 15. 11 Suppose 5*b - 378 = 2846*v - 2848*v, -4*b = -2*v + 324. Calculate the remainder when 225 is divided by v. 51 What is the remainder when 142 is divided by 67 + -1 + (-644)/644? 12 Let s(f) = -31*f + 88. Calculate the remainder when s(-18) is divided by 27. 25 Let q = -19860 + 19925. What is the remainder when 713 is divided by q? 63 Suppose 5*w + 18 = 6*w. Suppose -206 = -3*u - 4*l, -5*u + 7*u - 3*l - 160 = 0. What is the remainder when u is divided by w? 2 Let n(h) = 2*h**2 + 197*h + 609. Calculate the remainder when n(-3) is divided by (-8)/24 - 80/(-6). 10 Let i = -73 - -152. Calculate the remainder when i is divided by (58/(-3) - -1)*6306/(-5255). 13 Suppose -2*c = 3*c + h - 346, -2*c - 5*h = -143. Suppose 0 = -4*l - 2*m + 52, 1166*l = 1163*l + 2*m + 18. What is the remainder when c is divided by l? 9 Suppose 2*m = -4*m - 72. Let g = m - -24. Suppose 5*a = 3*f - 146, 3*a - 186 = -2*f - f. What is the remainder when f is divided by g? 9 Let d = 4378 + 339. What is the remainder when d is divided by 13? 11 Let x(c) = 2*c**2 - 73*c + 139. Calculate the remainder when x(36) is divided by 6. 1 Calculate the remainder when 45 is divided by -14*(624/(-112) - -5). 5 Let c = -264 - -268. Suppose -421 = -2*k - c*r + 207, k - 326 = r. Calculate the remainder when k is divided by 6. 4 Let b(i) = 7*i + 8. Let d be b(-4). Let p = -16 - d. Suppose -2*l + p = -36. What is the remainder when 77 is divided by l? 17 What is the remainder when (10 + -22 + 125)*1 is divided by 56 - (-3 - 1)/2? 55 Suppose -16*f = -12*f - 5*r - 543, 0 = 2*f + 5*r - 279. Calculate the remainder when f is divided by 12. 5 Suppose 0 = -2*o + 4*k + 2342, -o - 4*o - 4*k = -5813. What is the remainder when o is divided by 1156? 9 Suppose 0 = 4*l - 8, -3*g = -0*g - l - 22. Let o = g - 6. Suppose 3*b + 87 = o*v - 0*b, 3*b - 48 = -v. Calculate the remainder when v is divided by 23. 22 What is the remainder when (124/(-12))/((-252)/(-210) - (-437)/(-360)) is divided by 11? 7 Suppose -m - 9*i = -8*i + 160, -6*m + 5*i = 905. Calculate the remainder when 12/(-186) - 9155/m is divided by 7. 3 Let p = -21 - -19. Calculate the remainder when 329 is divided by (6/(-11))/(p/110). 29 Let h(j) = -4*j - 19. Let u be h(0). Let l(p) = -10*p + 47. What is the remainder when l(u) is divided by 15? 12 Suppose 5*z + 8664 - 72248 = s, -3*z - s = -38152. What is the remainder when z is divided by 161? 159 Suppose -64*c + 1292 = -1716. What is the remainder when 503 is divided by c? 33 Let u be (-9)/(-7) + -1 - 204/(-21). Let q = u + -1. Calculate the remainder when 17 is divided by q. 8 Let w be (10/(-20))/(1/6*-1). Let m be (41 + w)/4 + 0. Suppose -m*y + 7*y + 28 = 0. Calculate the remainder when 25 is divided by y. 4 Suppose -453*g + 462*g = 261. Calculate the remainder when 104 is divided by g. 17 Let q be (1 - 2)/((-8)/(-264)). Let j(r) = -7*r - 138. What is the remainder when j(q) is divided by 29? 6 Let d be (-5)/(20/(-404)) + (2 - 5). Let m = 100 - d. Suppose -2*r - 42 = -m*i, 2*i + r - 117 = -3*i. What is the remainder when i is divided by 15? 8 Suppose 315 = 5*v + 295. Suppose -t + 2*h = -93, -9*t + v*h + 459 = -4*t. What is the remainder when t is divided by 19? 15 Let l(d) = d**2 + 4*d + 4. Let b be l(-4). Suppose 0 = -b*w + 120. What is the remainder when 49 is divided by w? 19 Let i = 48 - 48. Let l = 63 - 63. Suppose 4*b = 3*s - 61, -s + 2*b + 19 + l = i. What is the remainder when 68 is divided by s? 22 Let c(a) = 35*a - 75. Let l = -510 - -516. Calculate the remainder when c(l) is divided by 35. 30 Suppose -19*k = -23*k - 320. Let z = k + 135. What is the remainder when z is divided by 28? 27 Suppose -12*b = -38 - 170 - 8. Calculate the remainder when 8819 is divided by b. 17 Suppose 4*g - 1974 = -1402. Calculate the remainder when 402 is divided by g. 116 Let d be (-4)/7 - 402/(-42). Suppose d*a = 12*a. Suppose a = -4*k + 13 + 91. Calculate the remainder when 46 is divided by k. 20 What is the remainder when (3/((-9)/6))/(11/(-20317)) is divided by 44? 42 Let y(u) = u - 9. Let k be y(7). Let j be k + 2/5 + 10/(-25). What is the remainder when (-6 + 9)/(j/(-92)) is divided by 35? 33 Suppose -50 = 12*c - 86. Suppose -c*v = 2*f - 0*f - 237, -2*f = -4*v + 302. Suppose -2*o = -26 - 6. What is the remainder when v is divided by o? 13 What is the remainder when (-1091*1/(-4))/(216/864) is divided by 60? 11 Suppose -43*f - 37*f + 64288 = -24*f. What is the remainder when f is divided by 48? 44 Let u(r) be the second derivative of -r**5/20 - 2*r**4/3 + 5*r**3/6 + 3*r**2 + 25*r. Calculate the remainder when u(-9) is divided by 15. 12 Let r(y) = 7*y - 114. Let c be r(17). Suppose n - c*n + 5*a = -114, 0 = -2*n + 2*a + 56. What is the remainder when 61 is divided by n? 9 Suppose -32 = -u + 2*s, -u - 11*s + 10*s + 17 = 0. Calculate the remainder when 394 is divided by u. 20 Let a(n) = -5*n - 9. Let j(f) = -f**2 + f + 6. Let m be j(3). Suppose 0*u + 5*u - 260 = m. Calculate the remainder when u is divided by a(-4). 8 Let p be (-2)/(-1) + -5 + 13 + 76. Let f = p - 86. Suppose 0 = -i + 3*a + 21 - 8, 2*i + 2*a - 50 = f. What is the remainder when 107 is divided by i? 19 Let f(q) be the third derivative of q**6/120 - 3*q**5/10 - 5*q**4/6 + 23*q**3/3 + 171*q**2. Calculate the remainder when 102 is divided by f(19). 21 Let a(s) = 618*s**3 + 5*s**2 - 7*s. Let o be a(1). Let m = o - 597. What is the remainder when 38 is divided by m? 0 Let t(z) = 4*z**2 + 8*z - 22. Suppose 5*d - 40 - 25 = 0. Suppose 5*i + n = d, -n - 14 = -5*i + 3. What is the remainder when 302 is divided by t(i)? 36 Let h = 25800 + -22173. What is the remainder when h is divided by 3? 0 Let l(v) = -2*v**2 - 89*v + 30. Calculate the remainder when l(-42) is divided by 62. 54 Let u be (963/428)/((-3)/104 - 0).
{ "pile_set_name": "DM Mathematics" }
((-4)/(-4))/(2/(-6)). Let f be 2/a + 74525/(-132). Let b = 18059/32 + f. Find the common denominator of 17/16 and b. 32 Let p = -1191803/15 + 79366. Let t = -485/6 - p. Find the common denominator of (-1671)/420 + (-4)/(-5) and t. 140 Let j(u) = -84 + 40 + 48 + 3*u**2 - u**2 - 2*u. Suppose 20 = 4*s, -4*v - s + 7 = -2*s. Calculate the least common multiple of 8 and j(v). 16 Suppose 13*k + 12 = 19*k. Let w(v) = v**3 + 6*v**2 - 2*v + 6. Calculate the smallest common multiple of w(-6) and k - 1/(2/(-20)). 36 Let d(n) = 4 + 6 - 6 + n + 7. Let x be d(-13). What is the common denominator of 90/(-25) - x/(-4) and 41/5? 10 Suppose 17 - 18 = -g. Suppose -g = -s + 5. Calculate the least common multiple of s and 7. 42 Suppose n = -0*n - 649. Let w = n - -1910/3. What is the common denominator of 1/5 and w? 15 Calculate the common denominator of (5/18)/(2/102) and 49/52. 156 Let s = -2/75 - -259/25. Calculate the common denominator of s and 67/64. 192 Let g be (-20454)/(-17778)*(-62)/8. Let f = -1/8889 + g. Find the common denominator of 34/21 and f. 84 Let x = 499 + -485. What is the smallest common multiple of x and 98? 98 Let g = 8249/36 - 897/4. Let w = g - 289/72. What is the common denominator of w and -137/6? 24 Let l = -814/13 + 8210/117. Calculate the common denominator of l and -29/6. 18 Suppose 3*x - 2*x + 3*r = 27, -3*r - 81 = -5*x. Let a be x/8 + 3/4. Suppose -a*w = -2*w - 9. Calculate the smallest common multiple of w and 5. 45 Let n be (0 - (-12396)/45)*(-2)/(-16). Let y = n + 76/15. What is the common denominator of -25/8 and y? 8 Let w be 0/(0 - 2) - -3. Suppose 3*v = -2*m + 12, 3*v - 9 = 4*m + w. Let r(u) = -u**3 - u**2 - u + 11. Calculate the lowest common multiple of r(m) and 9. 99 Let l = 300983/315 - 4776/5. What is the common denominator of -57/14 and l? 126 Suppose -41 = -3*a + 4*q, 4*a - 3*q + 0 = 50. Calculate the smallest common multiple of 66 and a. 66 Let g(r) = 370*r**2 + 5*r - 3. Let d be g(2). Let b = -4519/3 + d. Calculate the common denominator of 59/9 and b. 9 Let j be (-2)/(1/(-654)*-4). Let k = j + 3606/11. What is the common denominator of -59/9 and k? 99 Let x = -29 - -339. What is the common denominator of ((-30)/25)/((-32)/x) and -25/3? 24 Let d(v) = 2*v**3 - 4*v**2 - 10*v + 136. What is the smallest common multiple of 104 and d(6)? 728 Find the common denominator of 101/72 and (-10)/(-135)*(15 + 9). 72 Let s be 4 + -1 - 6825/2160. Let v = s - -2/9. Let u = -2/181 - -3443/362. Find the common denominator of u and v. 16 Suppose 0 = -3*r - 3*k + 111, -r - 145 = -5*r - k. Let q = 104 + -60. Calculate the least common multiple of q and r. 396 Let l = -2543819/34352 - -8334/113. Calculate the common denominator of -103/18 and l. 2736 Suppose 0 = -4*y + 10 + 26. Suppose -3*j + y = 5*c, 2*c - 11 = -3*j + 7. Suppose 3*m - 8 = 5*b, 2*m = -b + 1 - 0. What is the least common multiple of j and m? 8 Find the common denominator of -71/72 and (544/(-864))/((-93)/(-18) + -2). 1368 Let r = -737175/31 + 23790. Let t = r - 11423/1054. Calculate the common denominator of (-34)/(-561)*246/(-8) and t. 374 Let f(a) = -a - 4. Let v = 21 - 31. Calculate the lowest common multiple of f(v) and 8. 24 Calculate the smallest common multiple of 5/(5/31) - (-4)/(-1) and 90. 270 Let n = 34988/77 - 455. Find the common denominator of 137/70 and n. 770 Suppose -5*a = -4*a - 11. Let c = 163 + -161. What is the least common multiple of c and a? 22 Find the common denominator of (-3)/(-96)*528/28 and 71/112. 112 Let a be (4/(-12))/(1/(-24)). Suppose -8 = y + a. What is the common denominator of -71/18 and (-2)/y*385/14? 144 Suppose 7*k = 3*k, 4*k - 3 = 3*j. What is the lowest common multiple of j - 2/(2/(-5)) and 22? 44 Calculate the smallest common multiple of 12 and (1 - 0)/((-15)/(-150)). 60 Let u = -1836 + 14723/8. What is the common denominator of u and 218/42 + (6 - 112/21)? 56 What is the least common multiple of 39 and 1*(-5 + (71 + 1)/2)? 1209 Let k(c) = 5*c**2 - 2*c + 1. Let q be k(1). Suppose 266 = -q*s + 1002. Calculate the smallest common multiple of 10 and s. 920 Let x(d) = 12*d**2 + 9*d + 1. Let i be x(-2). What is the least common multiple of (-11)/33 + i/3 and 50? 50 Let f be 3/3*(3 + 20). Suppose -3*j - 4*q = -2*j + 21, 2*j - 5*q = f. Calculate the smallest common multiple of 10 and j/5 - 459/(-45). 10 Let a(n) = -n**2 - 8*n - 3. Let c = 41 + -28. Calculate the lowest common multiple of c and a(-6). 117 Suppose 6*a = 66*a - 2400. What is the lowest common multiple of 108 and a? 1080 Let v = -933 - -939. Calculate the lowest common multiple of v and 379. 2274 Suppose -3*d + d + 2*u = -80, -2*d + 68 = u. Let r be (d/(-4))/(1/6). Find the common denominator of (r/24)/((-15)/(-22)) and -139/6. 30 Let s = -10 + 18. Let b be 3 - s - (2 + -5). What is the least common multiple of 2 and b/(-9) - 260/(-45)? 6 Let p be (-2795)/(-15) + -5*6/(-45). Find the common denominator of ((-14)/(-8) - 2)/(p/323) and -23/3. 132 Let c be 68/(-123)*26221/2184. Let d = -120/287 + c. What is the common denominator of (-71)/2*(-2)/10 and d? 90 Suppose 0 = -3*x + 63 - 3. Calculate the smallest common multiple of 400/24 - 4/6 and x. 80 Suppose 3*s + 5*u = 4*u + 49, 5*u - 80 = -4*s. Suppose -5*z - q = -6*z + 3, -5*z - 4*q = -s. What is the lowest common multiple of z and 2? 6 Let n = 509 - 2013/4. Let h = 1947/1390 - 1/1390. What is the common denominator of n and h? 20 What is the common denominator of (-93)/124*(-137)/54 and 103/60? 360 Let z = -4347 + 4380. What is the least common multiple of (-19 + 2 + -4)/(-1) and z? 231 Let q = -5284 + 63337/12. Find the common denominator of q and 64/33. 132 Suppose a = -5*a + 648. Suppose 10*x - a = x. Calculate the least common multiple of 24 and x. 24 Let w = -73 - -105. What is the common denominator of 47/97 and (2/(-12))/(w/3872)? 582 Let m(y) = -y**3 + 33*y + 9. Calculate the least common multiple of m(-6) and 9. 27 Let o be (1 - 1) + 20/(-184). Let n = -79/92 - o. Calculate the common denominator of n and 4*(0 - (-16)/(-28)). 28 Suppose 0 = 4*a - 3*v - 28, -3*a - v + 4*v + 24 = 0. Let l be a/(-8)*3*-24. Calculate the common denominator of -5/4 and (l/64)/(3/(-12)). 4 Suppose 92*t + 42 = 94*t. Suppose 39 = 4*b - 9. What is the smallest common multiple of b and t? 84 Suppose -3*p = n + 10, -2*n - 7*p = -2*p + 20. What is the common denominator of 2 - (261/n)/9 and (-304)/90 + (-12)/(-20)? 90 Find the common denominator of -1 + (15725/30)/37 and -113/60. 60 Let m = -2356709/84 + 28057. Find the common denominator of -13/108 and m. 756 Let k = -94749/18590 + -6/1859. Calculate the common denominator of k and 31/57. 570 Suppose 3*y - 4*i - 104 = 0, -y + 36 = -2*i + 4. Calculate the least common multiple of y and 4. 40 Let c = -24 + -1. What is the common denominator of (-121)/170 - (20/c - -1) and -9/4? 68 Let z(w) = 4*w**2 + 2. Suppose 6*f = 3*t + 3*f - 69, -4*f + 34 = 3*t. What is the lowest common multiple of t and z(2)? 18 Let m be (-72)/(-7) + (-6)/21. Let y(a) = a**3 + 9*a**2 - 64*a. Let g be y(-11). Calculate the smallest common multiple of 22 and (g/35)/(3/m). 44 Find the common denominator of 654/8*2/(-54) and 38/(-133) - (-97)/70. 180 Let l be (-1)/2 - ((-378)/(-4))/(-9). Let f = -2 + l. Calculate the lowest common multiple of f and 7. 56 Suppose -41 + 15 = -3*k + o, 29 = 3*k + 2*o. Let a be (-2)/(-1) + 2/1. Suppose a - 20 = -4*r. What is the smallest common multiple of r and k? 36 Let p = 80 + -40. What is the common denominator of (-138)/p + 0 + 1 and 49/8? 40 What is the common denominator of 2 + 0 - ((-295)/15 - -4) and 15/2? 6 Suppose 5*m + 970 = 5*d, d - 7*m + 3*m - 188 = 0. What is the common denominator of d/6*19/(-76) and -69/32? 96 Suppose -5 = 3*i + 4. Let n = 5 - i. What is the lowest common multiple of n and (-38)/(-4) + 2/(-4)? 72 Let w be 4/1*(-2 - 9/(-4)). What is the common denominator of (-9)/12*9/(-30)*w and 57/22? 440 Let w = 9852659863 - 137780757675/14. Let b = w + -11181745. Let a = -4576 - b. Calculate the common denominator of -145/18 and a. 126 Find the common denominator of -1/6 and (-3)/(-4) - ((-407)/(-104) + -3). 312 Find the common denominator of -89/40 and (237/25438)/(36/1414). 2760 Let t be ((-2)/4)/((-3)/(-6)). Find the common denominator of (15/(-120))/((-4)/332) and t
{ "pile_set_name": "DM Mathematics" }
569708*n wrt n? 696*n**2 - 66*n - 100 What is the third derivative of -38541*b**3 + 3508*b**2 - 2*b - 2? -231246 Differentiate 307622*d**4 - 64869 wrt d. 1230488*d**3 Differentiate i**4 - 277*i**3 + 114*i**2 - i + 531873 wrt i. 4*i**3 - 831*i**2 + 228*i - 1 Find the second derivative of 17*b**4 + b**3 - 224*b**2 + 22975*b + 5 wrt b. 204*b**2 + 6*b - 448 What is the third derivative of -1823623*i**2*j**3 - 11*i**2*j - 10*j**2 - 10*j - 12 wrt j? -10941738*i**2 Find the second derivative of 2*m**2*o**2 - 17*m**2*o - 4*m*o + 29304*o**2 - 5*o wrt o. 4*m**2 + 58608 What is the third derivative of 72701*n**3 - 74569*n**2 wrt n? 436206 What is the second derivative of 44267*f**4 + 8705*f? 531204*f**2 What is the second derivative of 14*p**3 - 6654*p**2*q - 24*p*q + 2*p - 6*q - 270 wrt p? 84*p - 13308*q What is the first derivative of 9*k*p**2 - 112*k*p + 15*k + 54*p**2 - 174*p + 3 wrt k? 9*p**2 - 112*p + 15 What is the third derivative of -51093*x**3 - 2*x**2 - 667*x - 2? -306558 Find the second derivative of 2*f**5 + 29207*f**3 + f**2 + 27*f + 673. 40*f**3 + 175242*f + 2 Find the second derivative of -746*b**3*y**2 + 8752*b**3*y - 2*b**3 + 4*y**3 wrt y. -1492*b**3 + 24*y Differentiate -644703*i*o*r + 419*i*o + 20*i - 34*o with respect to r. -644703*i*o What is the third derivative of 602*u*w**4 + 3*u*w**3 + 446054*u*w**2 - w**4 wrt w? 14448*u*w + 18*u - 24*w Find the third derivative of -1635162*p*y**3 + 15*p*y - 390*p - 4*y**2 + 2*y - 2 wrt y. -9810972*p Find the second derivative of -45796*q**3*z + 2*q*z + q - 3*z + 1020 wrt q. -274776*q*z What is the first derivative of -1554*j**3*w + 6*j**3 + 3139 wrt w? -1554*j**3 What is the second derivative of -32*c**5*w - 7*c**4 - c**2*w**2 + 4*c - 4488*w**2 wrt c? -640*c**3*w - 84*c**2 - 2*w**2 Differentiate 1852*f**4 - 2*f**3 + 2*f**2 + 27780 wrt f. 7408*f**3 - 6*f**2 + 4*f What is the third derivative of -19426*b**4 + b**2 - 21976*b + 3 wrt b? -466224*b Find the first derivative of 216*d**3*i**2 - 345*d*i**2 - 10130*i**2 - 5 wrt d. 648*d**2*i**2 - 345*i**2 Differentiate 491352*y**2 + 615025. 982704*y Find the third derivative of -81147*c**6 + c**2 + 45655 wrt c. -9737640*c**3 What is the third derivative of -99*g*v**4 - 24*g*v**3 - 2*g*v**2 + 5*g*v + 26*v**3 - 31*v**2 + 131*v wrt v? -2376*g*v - 144*g + 156 Differentiate -209*a**3 - 319*a**2 + 105634. -627*a**2 - 638*a Differentiate 109008*t**2 + 120517 wrt t. 218016*t Find the third derivative of -2*u**5 + 30*u**4 - 468*u**3 + 2250*u**2 + 2*u + 5 wrt u. -120*u**2 + 720*u - 2808 Find the second derivative of -18007*m**2 - 2591*m wrt m. -36014 Find the third derivative of -6*f**3*h**3 - 9*f**3*h - 56*f**3 + 15*f**2*h**3 + 2*f**2*h + 2*f**2 + 8*f*h**3 - 11*f*h**2 wrt f. -36*h**3 - 54*h - 336 Find the second derivative of -13*h**3*s - 166*h**3*w + 18*h**2*s**2 + h*s**2*w - 13367*h*s*w - 2*h - 2*s**2*w - 4*s**2 wrt h. -78*h*s - 996*h*w + 36*s**2 Find the second derivative of 3788413*f**2*w + 267*f*w - 13*w wrt f. 7576826*w What is the third derivative of -130586*n**5 + 8*n**3 - 13*n**2 - 343*n - 87? -7835160*n**2 + 48 What is the derivative of -556*n**4 - 2*n**3 - 11*n + 132679? -2224*n**3 - 6*n**2 - 11 Find the third derivative of -1973*s**5 - s**4 - 2*s**3 - 34840*s**2 - s. -118380*s**2 - 24*s - 12 Find the second derivative of 7*r**4 + 81*r**3 + 19*r**2 + 88026*r wrt r. 84*r**2 + 486*r + 38 What is the derivative of 30264*s**2 - 14*s - 30467 wrt s? 60528*s - 14 What is the second derivative of 2*c**5 + 629205*c**2 + c + 7250? 40*c**3 + 1258410 Find the second derivative of 1525982*o**2 - 1258578*o wrt o. 3051964 What is the third derivative of -3*f**2*u*x**3 - f**2*u - 5*f**2 + 2844*u*x**3 - 10*u*x**2 + x**2 wrt x? -18*f**2*u + 17064*u Differentiate -37882*q*y**4 - q + 3*y**4 + 56048 wrt y. -151528*q*y**3 + 12*y**3 What is the third derivative of -b*x**4 - 200*b*x**3 + 20*b*x**2 - 11*b*x - 2*x**4 - 22*x**3 - x**2 wrt x? -24*b*x - 1200*b - 48*x - 132 What is the second derivative of 1547944*r**5 - 72431*r wrt r? 30958880*r**3 Find the third derivative of -696091*y**3 - y**2 + 5*y - 1704 wrt y. -4176546 Find the third derivative of 3*j**3*t**5 - 4334*j**3 + 2*j**2 - 3195*j*t**6 + j*t**2 wrt t. 180*j**3*t**2 - 383400*j*t**3 Find the third derivative of 2*l**6 - 10*l**5 - 754*l**3 + l**2 + 274528*l wrt l. 240*l**3 - 600*l**2 - 4524 Find the first derivative of 53446*p**3 + 117910 wrt p. 160338*p**2 Find the first derivative of -237002*y**2 - 39266. -474004*y What is the third derivative of -176873*c**6 - 818432*c**2 wrt c? -21224760*c**3 What is the second derivative of 2281*s**3*w**2 - 2*s**3 + 579*s**2*w - 36*s*w**3 + 21*s*w wrt w? 4562*s**3 - 216*s*w What is the derivative of -1391513*u**4 + 1443299 wrt u? -5566052*u**3 Find the first derivative of 28072*f + 50817. 28072 Find the second derivative of -3*v**4 + 16*v**3 - 303*v**2 - 41*v + 44 wrt v. -36*v**2 + 96*v - 606 Find the third derivative of 1775*p**4*t**2 - 30*p**4 - 2*p**3*t**2 + 98*p**2*t**2 + 1065*t**2 wrt p. 42600*p*t**2 - 720*p - 12*t**2 Find the first derivative of -695*b**3*p*v + b**3*p - 132826*b**2*p**2 + 4*p**2*v + 3*p*v wrt v. -695*b**3*p + 4*p**2 + 3*p What is the second derivative of 2*v*y**3 + 464*v*y**2 - v*y + 3*v + y**3 + y**2 + 7*y - 181 wrt y? 12*v*y + 928*v + 6*y + 2 Find the third derivative of -23*r**2*u**3 + 161*r**2*u - 174*r*u**3 - 4*r*u + 124*u**2 wrt u. -138*r**2 - 1044*r What is the third derivative of 22*t*v**4 - 2*t*v**3 + t*v + 27*t - 2533*v**4 - v**3 + 38*v**2 + v wrt v? 528*t*v - 12*t - 60792*v - 6 Find the first derivative of 13*y**2 + 656*y - 37324 wrt y. 26*y + 656 Find the first derivative of -13*h**2 - 79*h + 18131. -26*h - 79 What is the third derivative of -19376*b**6*h + 32*b**2 + 663*b*h wrt b? -2325120*b**3*h What is the third derivative of 2242*a**2*q**4 - 69*a**2*q**2 + 492*a**2 + 25*a*q**5 + 8*a*q**2 wrt q? 53808*a**2*q + 1500*a*q**2 Find the first derivative of -1574*c*i*p - 3*c*i - 6*c*p + 5839*i*p + 20 wrt c. -1574*i*p - 3*i - 6*p What is the second derivative of 24091*h**3 + 223639*h wrt h? 144546*h Find the second derivative of 284*f**3*o**3 - 7*f**3*o + 4*f**3 + 15*f**2*o**2 - 8*f**2*o - 5 wrt o. 1704*f**3*o + 30*f**2 Find the second derivative of -618851*d**5 - 176466*d. -12377020*d**3 Differentiate -2178657*i*t*y + 296*i*t + i - 232 with respect to y. -2178657*i*t Differentiate f**3*j - 4*f**3 - 5219*f*j**3 - 373831*j**3 wrt f. 3*f**2*j - 12*f**2 - 5219*j**3 Find the first derivative of 129426*z + 108231 wrt z. 129426 Find the third derivative of -2175778*n**6 + 1302*n**2 + 6*n wrt n. -261093360*n**3 Find the second derivative of 11*m**4 + 71*m**3 + 16*m**2 - 8969*m wrt m. 132*m**2 + 426*m + 32 Find the third derivative of 946512*t**5 - 3809967*t**2 wrt t. 56790720*t**2 Find the first derivative of 4778602*v + 3850246. 4778602 What is the third derivative of -17*d**3*y**3 - 4*d**3 + 2*d**2 - 2*d*y**2 - y**5 + 3950*y**3 - 7607 wrt y? -102*d**3 - 60*y**2 + 23700 What is the derivative of 6*h**4 + 4*h**3 + 8463*h**2 + 1532383? 24*h**3 + 12*h**2 + 16926*h Find the third derivative of -3355*k**5 - 190*k**2 - 3*k wrt k. -201300*k**2 Find the second derivative of u*v**5 + 35*u*v**3 - 9*u*v**2 + 4*u*v + 9*u + v - 32 wrt v. 20*u*v**3 + 210*u*v - 18*u What is the derivative of 89*z**2 + 596*z + 87574? 178*z + 596 What is the second derivative of -63011*c**3*t**2 - 75*c**3*t + c**3 - 332*c*t wrt t? -126022*c**3 What is the third derivative of 2*w**3*x**3 - 88*w**3*x + 12407*w**2*x**4 - 359*w**2*x**2 - 2*x**3 wrt x? 12*w**3 + 297768*w**2*x - 12 Find the third derivative of 479*n**3*z**4 + 9*n**3 + 99*n**2*z**2 - 5*n*z**2 + n*z + 368*z**4 wrt z. 11496*n**3*z + 8832*z Find the third derivative of 596120*y**6 - 2*y**2 - 29*y - 337 wrt y. 71534400*y**3 What is the first derivative of -12*w**4 + 19002*w - 173400? -48*w**3 + 19002 Find the second derivative of -71*m**2*p - 2128*m**2*r*x + 3*m**2*x**3 + 39*m*p*r*x**2 - 17*m*p*r*x + 2*m*r*x**3 - 14*m*x + 3*p - 2*r*x**3 wrt m. -142*p - 4256*r*x + 6*x**3 Find the first derivative of 3315*o**2 + 5*o + 41097 wrt o. 6630*o + 5 Differentiate 173*i*l**3 - 2*i*l**2*n - 19*i*l - 5*l**3*n + 1578*l*n + 2*l with respect to i. 173*l**3 - 2*l**2*n - 19*l What is the first derivative of -1073463*d**2*w**4 - 7993*d**2 + 21*d wrt
{ "pile_set_name": "DM Mathematics" }
/(-3)*86/301? -16 Calculate (-312)/26*(-250)/2625. 8/7 ((-2352)/1470)/((-3)/(2025/18)) 60 What is the value of ((-12)/7*-4)/(-63*232/51156)? -24 What is the value of 34*2/85*(-15)/(-6)*-11? -22 Calculate (15/(-12))/(((-3237)/624)/(-83)). -20 What is the value of ((-1156)/68)/(-17)*475/25? 19 (14/(-10))/((12549/470)/(-267)) 14 Evaluate (59/(-118))/(1040/416*47/5). -1/47 (84/(-70)*(-130)/2652)/(-4) -1/68 (15/(-45))/(((-7)/84*-141)/(3/4)) -1/47 What is ((-49)/(-28))/(23/(1380/15))? 7 Calculate ((-3)/20*72/(-810))/(6/(-15)). -1/30 What is the value of (4578/327)/((-5)/(50/(-77)))? 20/11 Evaluate ((15/4)/((-63)/(-56)))/((-6405)/1098). -4/7 Calculate 2/5*((-3)/(-780)*4)/(1647/41175). 2/13 What is the value of ((-16)/14)/(20/(-640)*8*(-4)/7)? -8 What is (-73216)/(-3168)*3/39? 16/9 2/4*(15925/(-700))/(56/16) -13/4 Evaluate (3*((-90)/(-243))/(-10))/(23714/(-2556)). 2/167 What is 1032/(-1806)*(14/42)/((-2)/51)*-7? -34 Calculate ((-30)/(-44))/(((-412)/(-309))/(24*(-8)/60)). -18/11 (-7)/((-980)/336)*(-40)/(-144)*3 2 (-2)/((23/(1288/12))/((-30)/40)) 7 Evaluate (-86)/(-3354)*13*((-9)/(-20))/((-3)/2). -1/10 What is 4/16*400/(-900)*57? -19/3 Evaluate ((-4)/((-32)/(-20)))/((-209)/(-2926))*1. -35 What is 1/((-3)/(-708))*58/(19952/(-86))? -59 Evaluate (1/(-16))/((50*9/741600)/(-1)). 103 What is the value of (((-5)/(-21))/((-305)/(-427)))/((-6)/((-216)/(-220)))? -3/55 Calculate (851/(-17871))/((-2)/(-3)). -1/14 What is the value of ((-30)/11)/((-3050)/50325)? 45 (-748)/12*(-4356)/7986 34 What is the value of -20*32/360*2/(-24)*9? 4/3 What is -5*(-8)/20*70/2380*-119? -7 ((-112)/((-20160)/2745))/((-3)/12) -61 What is (141/(-3))/((-220)/220)? 47 Evaluate 7/(42/(-30))*((-2784)/(-29))/16. -30 Calculate (148/(-4))/((-33929)/78862). 86 (560/(-320)*32/(-6))/((-11)/(-396)*8) 42 What is (-53)/(-424)*-12*((-20)/(-6))/(-5)? 1 What is (-544)/(-7616)*(-28)/6? -1/3 Calculate (706/(-1765))/(1/(15/3)). -2 What is -33*(-200)/32100*-107? -22 What is the value of 9/(720/64)*-5*(-6)/(-6)? -4 Calculate (1*6/(-24))/1*(-94604)/353. 67 What is the value of 1/14*864/24*(-672)/288? -6 What is (-1275)/25*13/156*4? -17 (2541/396)/77*18/21 1/14 What is the value of 222/((8100/54)/(-25))? -37 (((-640)/(-1920))/((-8)/(-6)))/(-3*149/24) -2/149 What is (-190)/(-57)*54/45? 4 What is the value of 3*(-6)/45*((-1400)/(-665))/4? -4/19 What is the value of ((-80)/12)/(1005/7236)? -48 ((-252)/(-14))/(-1296)*-75*(-1)/(-5) 5/24 What is ((-1422)/1264)/((-14)/(-560))? -45 What is the value of 4134/19292*24/306? 2/119 What is the value of (6/48*-34)/(6/480*20)? -17 What is the value of (-186)/31*32/(-1824)? 2/19 What is the value of (-4*(2/4)/(354/531))/((-6)/22)? 11 What is 5/(15/6)*((-9)/((-27)/(-6)))/4? -1 What is (21/(-15))/(42/(-12))*(-440)/(-24)*-3? -22 What is the value of (705/16920)/((-1)/6672*-2)? 139 What is the value of (4/10*445)/(5284/2642)? 89 Evaluate (3/1462)/(3468/(-19652)). -1/86 What is ((-8)/6)/(((-8910)/67716)/((-10)/19))? -16/3 What is ((-26)/(2600/30))/((-3)/(-4))*11? -22/5 ((-6)/(-16))/((1210/(-55))/(-3696)) 63 Calculate (((-1890)/(-72))/(-7))/((-3)/(-4)). -5 Calculate ((-9)/6*1*(-8)/30)/(1380212/(-38770)). -1/89 What is the value of (-48)/(-10)*(-20)/(-50)*2/2*50? 96 What is the value of 1462/153510*(-225)/15? -1/7 What is the value of (-1)/2*(-4274)/(-68384)? -1/32 134/335*(-35)/(-70) 1/5 ((-4884)/2369554)/((-6)/164) 4/71 Evaluate (42/3)/(46*43/(-9890)). -70 What is (-6)/13*81/270*-130? 18 Evaluate (-13)/((-6760)/(-24))*-18*20/(-1296). -1/78 Evaluate (-33)/1914*(-377580)/70. 93 What is 8/(-10)*7/((-140)/(-1035))*(-88)/(-396)? -46/5 Calculate ((3/2)/(-1))/((1/3)/((-11774)/128673)). 7/17 (37*1/7)/(178*(-9)/(-11214)) 37 (18*(-6)/(-324))/((-2)/9*84/14) -1/4 Evaluate 96/20*2445/(-652). -18 (270/189)/(450/(-2100)) -20/3 Calculate ((-21)/5)/(621/2070). -14 What is (-1734)/2890*15/18*(18*-13)/(-1)? -117 What is the value of 46/23345*-29*(-25)/(-65)? -2/91 Evaluate (-89)/(18690/180)*(-4)/(-94)*(-84)/(-36). -4/47 Calculate ((-25)/14375*46)/10. -1/125 What is the value of (140/24)/(140/(-560))*(-6)/(-4)? -35 Calculate 8258/20645*10/72. 1/18 What is the value of (12/651)/((-686)/(-4802))? 4/31 Evaluate ((-2082)/(-34353))/((-3)/(-3069)). 62 -1*100/4*(-244)/(-610) -10 What is (117/(-15))/((-5)/70*-21*(-4)/10)? 13 What is the value of (42/(-39))/(28/10*(-4370)/39767)? 7/2 Calculate (((-7707)/(-11744))/((-3)/2))/((-24)/192). 7/2 What is the value of 12177/(-396)*-14*20/(-105)? -82 What is -3*3/6*(-4128640)/(-96765)? -64 Calculate ((-7)/(-70))/(609/188790). 31 What is the value of 4*3*4/(-8)*-1*(-2478)/354? -42 Evaluate (317955/(-60885))/(2/18). -47 Evaluate (275/(-4))/5*11984/(-7490). 22 (-15)/3620*(-4)/(((-4455)/54)/55) -2/181 What is the value of (455/273*(195/10)/13)/(38/(-12))? -15/19 (2/2)/(90/(-442260)*42) -117 Evaluate (270/63)/((-1066)/(-18655)). 75 What is the value of 10/9*8580/325*(-4446)/(-1976)? 66 What is -3*3/(-18)*60/(-75)? -2/5 What is the value of 10/(-1)*39/234*3? -5 What is the value of 8/(624/663)*1? 17/2 (3660/(-10248))/(3/(-546)) 65 (((-16835)/(-936285))/(26/36))/((-5)/(20/12)) -2/241 Calculate ((-945)/(-1008))/(((-1)/6*-3)/(-1)*1). -15/8 What is the value of ((-822)/(-19728))/(33/(-16))? -2/99 What is the value of ((-3368)/(-2105))/((-1)/(130/4))*-1? 52 Evaluate 3*4/(-28)*-9*22*(-28)/(-231). 72/7 34/102*(-45)/(-435) 1/29 What is the value of (-145)/(50460/754)*-1*((-4)/(-26))/2? 1/6 What is the value of 62/(-20)*2*12255/2451? -31 Evaluate (6/(-35))/((-1)/15)*161350/50710. 90/11 7/((28/(-6))/((-556)/(-417)))*1*-8 16 Evaluate (4/(-7))/(((-230)/1127)/((108/(-21))/(-3))). 24/5 What is (((-25)/20)/((-2)/5))/(((-1845)/(-108))/41)? 15/2 (2700/63)/((-3505)/9814) -120 What is the value of 3066/(-511)*8/6? -8 What is the value of 1*-2*(149175/1190)/(-135)? 13/7 Calculate ((-116)/1218)/(7/2352). -32 What is the value of (4*27/(-792))/((-427)/427)? 3/22 What is (-41)/(1066/(-273))*(-15)/7*2? -45 Calculate -48*(-18)/(-27)*(-12)/(-216). -16/9 Evaluate 4356/5808*(-12)/(-15). 3/5 Calculate 19553/78212*1/(1/(-112)). -28 (((-4)/6)/(224/(-168)))/(2*(-3)/156) -13 (-4)/3*(828/(-1472))/(6/304) 38 What is the value of (-2)/(12/(-86))*-9*20/60? -43 What is (-520)/10530*4/((-56)/63)? 2/9 Evaluate (11/(6160/(-14)))/((-35)/(-60))*(-5)/(-12). -1/56 1328/(-5229)*-36*7/2 32 What is the value of ((1/1)/1)/((817/19)/86)? 2 What is the value of 3/(((-3)/(192/80))/((-45)/216*46))? 23 What is ((-18)/688)/((-31914)/18912)? 2/129 291456/2024*(-6)/(-4)*2/6 72 ((145/1450)/(2/(-8)))/((-209)/95) 2/11 Calculate ((-9)/(-2))/(10080/420)*(32/36)/1. 1/6 What is (-4216)/17918*(-221)/(-2)? -26 (9/(36/(-12)))/((-1)/1)*(-53)/3 -53 Evaluate (-6480)/990*(-286)/390. 24/5 What is the value of 1*180/27*(-5)/(75/(-27))? 12 What is ((481/(-26))/37)/((-81)/(-6318))? -39 Evaluate (22*72/(-3696))/((-5)/280). 24 Evaluate 30/(-80)*(-776)/(-4947). -1/17 (-2)/(-3)*8*94875/11500 44 Calculate ((-144)/14416)/(240/(-2720)). 6/53 (5/(-1))/(((-90)/(-435))/((-372)/(-2697))) -10/3 (-20)/(-66)*10626/(-17710) -2/11 ((-18)/(-15))/((-50626)/(-7445)) 3/17 What is (-11)/(-4)*((-7160)/2685)/(4/60)? -110 Calculate (10/(-16))/1*(-378)/(-23940)*-19. 3/16 Evaluate (16/(-6)*(-33)/(-11))/((-2240)/112). 2/5 What is (12870/44550*(-5)/2*-1)/(1/6)? 13/3 (-351)/1690*(-200)/30 18/13 What is ((-315)/1470)/((-2)/(-32)*12)? -2/7 What is the value of (8/110)/((-3895)/(-2337)*(-6)/50)? -4/11 Calculate (-3348)/(-5859)*(-9933)/44. -129 What is the value of 504/(-3640)*(-350)/21? 30/13 What is (2/138)/((-207)/(-69)*3/(-27))? -1/23 What is the value of (3/(-5))/(((-99144)/2550)/36)? 5/9 What is ((-122)/35563)/((-79)/(-869))? -2/53 What is 105/630*306/(-17)? -3 What is 4/10*(-1080)/(-24)*(-208)/156? -24 (-31*(-248)/10571)/(-8) -1/11 244/(-61)*370/(-280)*-7 -37 1*(-37)/(72335/34) -2/115 What is the value of (22/10*-1)/(((-14800)/(-750))/(-296))? 33 Calculate (255/2)/(-5)*104/19032*-61. 17/2 What is 75*((-2120)/(-848))/((-25)/(-6))? 45 Calculate (((-32)/8)/(-216))/(((-195)/(-60))/(-13)). -2/27 (326230/(-154530))/(1102/(-12)) 2/87 Calculate 203/(176407/(-474))*(-66)/28. 9/7 What is ((-17496)/(-153900))/(6/75)*4/3? 36/19 Evaluate ((-3)/14)/(((-60270)/(-343))/(-41)). 1/20 Calculate (-207)/598*19/57. -3/26 Evaluate ((-2)/4*14/27)/(205/(-280440)*114). 28/9 26*63/(-4914)*99 -
{ "pile_set_name": "DM Mathematics" }
42.9 + -137.9. Which is the third biggest value? (a) 2/25 (b) -0.5 (c) y (d) 3 (e) -46 a Let z = 0 + 0. Let d = 894 + -899. Let x = -1 - d. Which is the second biggest value? (a) x (b) -0.1 (c) z c Let a = 2.9 - -43.3. Let k = -46 + a. Let v be (4/16)/(((-54)/(-8))/(-3)). What is the smallest value in k, -1, -0.5, v? -1 Let r = -1006 - -1462. Let l = -502 + r. Which is the third smallest value? (a) l (b) -3 (c) -4 b Let l = 8485/2 + -4242. Which is the third biggest value? (a) l (b) -1 (c) 2 (d) -2 b Let a = 43.3 - 27. Let f = a - 12.3. What is the second smallest value in f, 0.4, -1, -2/9? -2/9 Let g = -24/5627 - -292497/1294210. Let w = -1/46 + g. Let p = -1.2 - -2.1. Which is the second biggest value? (a) p (b) -2/7 (c) w c Let f = 15.69 + -15.39. Which is the third smallest value? (a) -5 (b) 0.15 (c) f (d) -4 b Let k = 442.9113 - -0.0887. Let d = k - 442.9. What is the second biggest value in -2/5, d, 1? d Let t = -751/4 + 188. Suppose 3*z = 7*z + 4*w + 24, -2*w = 4. Let n = 7 - 4. Which is the second smallest value? (a) -0.13 (b) z (c) t (d) n a Suppose -2 = 9*w - 38. Let z = -0.104 + 2.624. Let f = z - 0.52. Which is the fourth biggest value? (a) 1/2 (b) f (c) 5 (d) w a Let x = 2051/4743 - 13/31. Which is the third biggest value? (a) -0.2 (b) -17 (c) x b Suppose 0 = -3*f - 5*x + 147, -f + 21 = -5*x - 8. Suppose 314*m = 325*m + f. Which is the second biggest value? (a) -2/13 (b) -0.03 (c) -1/3 (d) m a Let r = -12.8 - -12.7. Which is the fourth biggest value? (a) r (b) 7 (c) -0.5 (d) 0.4 (e) 2/7 a Let r = 0.831 + 0.039. Let u = r - 0.67. Let d be (-36)/10 + (-6)/15. Which is the third smallest value? (a) -2 (b) u (c) d b Suppose 114 = 3*w + 177. Let f be (-4)/(-10) - (-1045)/(-50). Let t = f - w. What is the second biggest value in -3, 2/11, t? 2/11 Let m be (-5)/((-2)/5 - ((-480)/75 + 7)). What is the smallest value in m, -2, 1, -3.4, -4? -4 Let g = -12 + 15. Let k = -0.016 + 0.3. Let h = 0.016 + k. Which is the second biggest value? (a) h (b) g (c) 7 b Let s = 52357/15 + -10471/3. Which is the fifth smallest value? (a) s (b) 1/6 (c) -0.3 (d) -0.8 (e) -0.1 b Suppose -q - 2 = 2*x, 2*x - 2 = 4*x - q. Let v = 19069.1 + -19068.8. What is the second biggest value in x, v, 44, 2/13? v Let j = -314.8 + 311.466. Let v = j + 0.334. What is the second smallest value in 4, v, 1, 10/7? 1 Let j be -52*(22 + -27 + -2). Which is the third biggest value? (a) j (b) -6/7 (c) 2 b Let o = -8600 + 8599.7. Which is the second smallest value? (a) -5 (b) o (c) -1 (d) 39 (e) -1/3 c Suppose -2 = 2*u - 0. Suppose 2*w - 6 = 0, 0 = 3*k - 0*k + w + 12. Let p = 1.21 + -1.2. Which is the second biggest value? (a) u (b) k (c) p (d) -3 a Let d = 45.47 - 45. Let r = -0.375 + 0.005. Let j = r + d. Which is the second biggest value? (a) -6 (b) -0.4 (c) j b Let p = -89 + 89.02. Let g(s) = -119*s + 477. Let k be g(4). Which is the biggest value? (a) p (b) -2/5 (c) k (d) 13 d Let f = -3590 + 3590.5. Which is the smallest value? (a) -0.4 (b) f (c) 32 (d) -3 (e) -2.6 d Let i = 154222/21 + -7344. Let g be -1 + 75/(-78) + 2. Which is the biggest value? (a) 4 (b) i (c) g a Let o(y) = -3*y**2 + 11*y - 27. Let w be o(3). Let f = -26 - w. Which is the third smallest value? (a) 55 (b) 2/13 (c) f a Suppose -13*s = -38*s + 100. What is the second biggest value in -1/2, -0.08, -2/3, -0.4, s? -0.08 Let x = -21814 + 109072/5. Which is the second biggest value? (a) 1 (b) x (c) 26/9 (d) -2/17 a Let w = 233 - 727. Let h = w - -496. Which is the biggest value? (a) -4 (b) 1/3 (c) h (d) -2 c Let r(v) = 9*v - 14. Let q be r(6). Let z = -46 + q. Let c = z - -7. What is the second biggest value in 0, -4, c? 0 Let o = 1 - 2. Let q = 122 + -130.7. Let i = -9.1 - q. Which is the smallest value? (a) -0.07 (b) o (c) i b Let x = 0.06307 + 1.93693. Which is the fifth biggest value? (a) 0.3 (b) 3 (c) x (d) 124 (e) -0.4 e Let t = 0.3 - -72.7. Let i = 72.7 - t. Let l(d) = d**2 - d - 2. Let s be l(3). What is the smallest value in i, s, -5, -2? -5 Suppose 0*u = u + 3. Let m = -340511 + 1021537/3. Let w = -7 - -11. What is the third biggest value in w, 2, m, u? m Let i = 72 - 50. Let w = -24.9499 - 0.0501. Let z = w + i. Which is the smallest value? (a) 0.1 (b) z (c) 0 (d) 1/5 b Let r = -0.008 + -67.492. Let m = 67 + r. Which is the biggest value? (a) 2 (b) 59 (c) m b Suppose -336*f = -339*f + 3*k - 12, f = -3*k. Which is the third smallest value? (a) -24 (b) 0.2 (c) f b Let k = -1.803 - -0.313. Let l = k + 1.89. Which is the biggest value? (a) -3/5 (b) l (c) -0.02 b Let o = -2361 + 2389. Which is the second biggest value? (a) 18 (b) o (c) 4 a Let j = -0.3 + 0.3. Let x = 0.55108 - -196.44892. Which is the third biggest value? (a) j (b) -1/7 (c) x (d) 2/5 a Suppose -8*d + 0 = -16. Suppose -d*u - 105 = 3*u. Let w be 42/36*(-12)/u. What is the second biggest value in w, -5, -3? -3 Let j = -26.3 + 83.8. Let q = j - 58. Suppose 13 = -3*r + 4. Which is the second biggest value? (a) q (b) 5/2 (c) 2/3 (d) r c Let p = 29 - -30. Let w = p + -56. Let n be (4/(-30))/(6/(-10)). Which is the biggest value? (a) n (b) -1 (c) w c Let o = 2181 - 2182. What is the fourth biggest value in 7, -4/7, o, -1/8? o Let b = -21396 - -21395. Let g(n) = n**3 + 6*n**2 + n + 8. Let d be g(-6). Suppose 5 = p - d*s + 6, p - s = 1. What is the second smallest value in p, b, 2/25? 2/25 Let o = -4.98 + -0.02. Let l = o + 5.7. Let k = 0.2 - l. Which is the biggest value? (a) k (b) -0.03 (c) 2/5 c Let k = 0.0482 + -0.0134. Let d = -0.3652 - k. Let v = 0 + 0.3. Which is the third biggest value? (a) v (b) 0.2 (c) d c Let o = -1932 + 1930. Let n = -16 + 15.8. What is the second smallest value in n, o, -17? o Let w = 11 - 8. Let j = 38.3 - 38.795. Let f = 4.495 + j. Which is the fourth biggest value? (a) -1/5 (b) 1 (c) f (d) w a Let y = -8 + 10. Let m be (15/(-6) + 2)/(-20*8/(-64)). Which is the fourth smallest value? (a) 1 (b) 4 (c) y (d) m b Let j be (2 + -1)/(15/((-5)/((-30)/12))). Which is the smallest value? (a) -5 (b) j (c) -3279 c Let t = -24.73 + 21.73. What is the biggest value in -0.5, t, -0.12? -0.12 Let w be (-3)/1*1/3. Let z = -40570 - -40575. Which is the second smallest value? (a) w (b) z (c) 1 c Let z = -5601 - -5597. Which is the third biggest value? (a) -2 (b) z (c) -0.465 b Let k = 2065 - 2065. What is the smallest value in k, -1/8, 2, -2/7, -1/7? -2/7 Let o be ((-30)/(-100))/(45/(-60)). Which is the third smallest value? (a) -5 (b) o (c) -0.125 c Let l = -44.29 - -43.29. Which is the second smallest value? (a) l (b) -2 (c) -0.3 (d) -1/39 (e) -4/7 a Let k(h) = h**3 - 13*h**2 - 2*h + 26. Let a be k(13). Let l be 0 + a - (-1)/(-87)*-3. Let i = 0.9 + -5.9. What is the third smallest value in l, i, 0.1? 0.1 Let j = 1 + -0.6. Let m = -3.9 - 23.1. Let y = m - -27.2. Which is the second smallest value? (a) -1/2 (b) -5 (c) j (d) y a Let x = 3730.9 - 3730.8. What is the third smallest value in -100, -3, x? x Let v be 22563/(-32292) - (-1)/39*-2. Which is the second biggest value? (a) 0 (b) 1/9 (c) v (d) -16 a Let o = 403.3 + -377. Let q = o + -23.3. Which is the biggest value? (a) -1 (b) q (c) 16 c Let f be (10/(-15))/((-5)/3). Let o(t) = t**2 + 3*t - 7. Let n be o(-5). Which is the fourth smallest value? (a) n (b) 0 (c) 0.1 (d) f a Let n be 7/3*5031/7826. Which is the second biggest value? (a) 27/2 (b) n (c) 12 c Let n be 6/7 + -1 - 74/(-518). Suppose n = -2*r - 159 - 541. Let m be 4*-1 - (0 - r/(-91)). Which is the third biggest value? (a) m (b) -2/27 (c) -4 c Let t = 6 - 5.72. Let m = 12.189 - 12.089. Which is the third smallest value? (a) t (b) m (c) 2 (d) 1/4 a Let j = 949.07 - 964. Let y = -5.93 - j. Which is the third biggest value? (a) 0.02 (b) y (c) 0.2 (d) 3 c Let v = -13/126 - -7/18. Suppose 2*y + 9 = 3. Let o(i) = i**3 + 46*i**2 + 91*i + 136. Let l be o(-44). What is the third smallest value in y, v, l? l Let r = -16.196 - -13.196. What is the smallest value in -4, r, 420? -4 Let v = -3.1 - -3. Let r = 2464.9 - 2460.9. Which is the biggest value? (a) -2/11 (b) r (c) v b Suppose -4*q + 25 = 5. Let m(i) = i**3 - 5*i**2 + 2*i + 14. Let j be m(3)
{ "pile_set_name": "DM Mathematics" }
35)/(-15))*v. Let i(n) be the second derivative of -n**5/20 + n**4/4 + n**3/6 + 2*n**2 - n. Calculate i(l). 7 Let m(j) = j**3 + 12*j**2 + 10*j - 6. Let g(a) = 2*a**3 + 25*a**2 + 21*a - 10. Let s(w) = -3*g(w) + 7*m(w). Give s(-8). -4 Let f(o) be the third derivative of -o**4/8 + 25*o**3/6 - 16*o**2. Let p be f(10). Let x(r) = -r**3 - 5*r**2 + r. What is x(p)? -5 Let j(p) = -p**2 - 14*p + 5. Let f(b) = b**2 + 13*b - 5. Let r(m) = -4*f(m) - 3*j(m). Give r(-11). -6 Suppose 2*r - 39 = -5*l, 2*r - 7*r + l + 30 = 0. Let j(z) = -z + 2. What is j(r)? -5 Let b(s) be the first derivative of 1/2*s**2 + 1/3*s**3 + 14 + 0*s - 5/4*s**4. Calculate b(-1). 5 Let x(s) = s**2 + 19*s - 10. Let l = 869 + -888. Calculate x(l). -10 Let t(m) be the first derivative of -2*m**2 - 22*m - 136. Calculate t(-6). 2 Let t be (-3)/(1*4/(-20)). Let b(a) = -2*a + 27. Give b(t). -3 Let z(v) = v**3 + 7*v**2 + 3*v + 6. Suppose 3*k = -32 + 20. Determine z(k). 42 Let w(h) = -9*h + 6. Let n be w(-2). Suppose -15*u + n = -7*u. Let v be (4/u)/(3/9). Let g(d) = d**3 - 3*d**2 - 5*d - 3. What is g(v)? -7 Suppose -4*v + 2*v = 44. Let u = -22 - v. Let m(i) = -i**2 + i + 1. Determine m(u). 1 Let a(i) = -i**2 + 8*i + 9. Let z be a(9). Suppose 2*d = 6 - z. Let x(u) = 3*u - d*u + u - 1 - 6*u. Calculate x(-1). 4 Let x(n) = n**2 + 3*n - 3. Let k be x(-11). Let b = k - 84. Let l(v) = 12*v**2 - 3. Let g(j) = -13*j**2 + j + 4. Let i(r) = -2*g(r) - 3*l(r). Give i(b). -11 Let j be 261/(-27) + 10 - (-68)/3. Let h(w) = -w**2 + 21*w + 49. Give h(j). 3 Let b(l) be the third derivative of -l**6/120 - 7*l**5/60 + l**4/24 - l**3/3 + 167*l**2 + 2*l. Calculate b(-7). -9 Let r(f) = 16*f**2 - 77*f - 19. Let l(y) = -6*y**2 + 26*y + 6. Let m(s) = 11*l(s) + 4*r(s). Give m(-10). 10 Let z(p) be the first derivative of p**6/360 - p**5/30 - p**4/6 + 14*p**3/3 - 7. Let t(s) be the third derivative of z(s). Determine t(5). 1 Let f(i) = -2*i + 10. Let s(b) = b - 11. Let a(m) = -2*m - 6. Let k be a(-2). Let x(t) = k*f(t) - 3*s(t). Give x(-9). 4 Let v(j) = -j. Let o(d) = d + 2. Suppose 11 = 3*t + 17. Let r(u) = t*v(u) - o(u). Calculate r(3). 1 Let o(s) = s**3 - 6*s**2 - s + 6. Suppose 7 = 6*k + 241. Let m = k - -45. Give o(m). 0 Let o(u) = 4*u**2 - 3*u - 15. Let z(h) = -4*h**2 + 2*h + 12. Let k(j) = -5*o(j) - 6*z(j). Give k(-2). 13 Let w be ((-7)/(-28)*-4)/((-1)/4). Let s(v) be the third derivative of 0*v + 4*v**2 + 1/24*v**w + 0 - 11/6*v**3. Give s(8). -3 Let j(o) = 2*o**2 - 2*o + 2. Let u = 38 + -35. Suppose -q + u*a = 2*q - 24, -5*a = 4*q + 13. Give j(q). 14 Let c(f) = f - 1. Suppose -17*a + 91 + 11 = 0. Give c(a). 5 Suppose 0*i + 40 = 4*i. Suppose i = -11*t - 67. Let h(m) = -m**2 - 6*m - 8. Calculate h(t). -15 Let s(q) = q. Let u be 61/8 - (-4)/128*12. Give s(u). 8 Let y(f) = -112*f - 1 + 56*f + 50*f. What is y(3)? -19 Let x(r) = -5*r + 17 - 9*r - 39 + 13*r + 16. Give x(-9). 3 Let f = 623 + -606. Let z(k) = -k**2 + 15*k + 36. Calculate z(f). 2 Suppose 0 = p - a + 10, -4*p - 12 = 2*a + 4. Let u(m) = m**3 + 8*m**2 + 8*m - 6. Determine u(p). 18 Let q(w) = -3 - 6*w + w**3 + 15 + 8*w**2 + 0. Let k(l) = 3*l**3 - 21*l**2 + 6*l - 51. Let o be k(7). Give q(o). -15 Let l(x) = -3*x**2 + x - 1. Let d be l(1). Suppose 4*r = f - 18, -2 = -4*f - 3*r - 6. Let s(w) = -6 + 19*w + 2 - 2*w**f - 18*w - w**3. Calculate s(d). 2 Let f be 4/(-30) - (-28)/(-15) - 4. Let o(t) = t**3 + 5*t**2 - 7*t - 5. Determine o(f). 1 Let j(w) = -w**2 + 5 - 4*w**2 - w + w**3 + 0*w. Let i(a) = -a**3 - 12*a**2 + 14*a + 18. Let l be i(-13). Give j(l). 0 Let r(p) be the third derivative of 0*p + 0 - 1/6*p**3 + 14*p**2 - 1/15*p**5 + 0*p**4. Calculate r(1). -5 Let k(i) be the second derivative of -i**3/6 + 4*i**2 - 182*i - 1. Give k(11). -3 Let j(i) = -5*i**2 - 22*i - 4. Let d be j(-4). Let y(k) = k**3 - 3*k**2 - k - 8. Determine y(d). 4 Let w(h) = -h**2 - 10*h - 5. Let v be w(-10). Let x(m) = -m**2 - 5*m + 10. What is x(v)? 10 Suppose 2*d + 0*d = 14. Let c(b) = 9*b - 11*b + 3*b**2 - 7*b - 2*b**2 + 10. Determine c(d). -4 Let z(k) = k**2 + 10*k - 21. Let x be z(-12). Suppose 3*w - x - 15 = 0. Let u(a) = a**3 - 7*a**2 + 6*a - 6. Calculate u(w). -6 Let s(h) = -h**3 - 4*h**2 + 7*h + 20. Let d be s(-5). Let q be 1 - d/4 - 416/(-64). Let f(t) = -t**3 + 4*t**2 + 3*t + 5. What is f(q)? -5 Let c be (2 - 0)/((-8)/12). Let o(b) = 8*b + 2. Determine o(c). -22 Let h(j) be the third derivative of -j**8/20160 - j**7/1008 + j**5/6 + 10*j**2. Let b(x) be the third derivative of h(x). Determine b(-3). 6 Suppose 5*x + 6*a = 11, 4*x - 3*a = x. Let o(b) = -45*b**2 + b. Calculate o(x). -44 Let s(m) = 7*m + 6. Let z(c) = -4*c - 7. Let u(h) = -2*s(h) - 3*z(h). Determine u(6). -3 Suppose 0 = 6*d + 3*d - 18. Suppose -d*r + 2 - 10 = 0. Let t(x) = -x**3 - 5*x**2 - 5*x. Give t(r). 4 Let t(n) = -13*n**3 - 2*n + 2. Let s be t(1). Let v(i) = -i**3 - 13*i**2 - i - 7. What is v(s)? 6 Let i(o) = 51*o**2 - 4*o + 13. Let t be i(7). Suppose t - 6924 = -6*q. Let p(b) = 0*b - q + 743 - b. Calculate p(-3). 6 Let z(k) = k**2 - 3*k + 4. Let t = 5 - 0. Suppose a - 39 = -5*f + f, -101 = -4*a - t*f. Suppose -2*l = 5*r - 31, l + 2*r - a = -2*l. Give z(l). 4 Suppose 2*r - 5*i = -19, -4*r - 21 - 10 = -3*i. Let n(z) = -z**2 - 3*z + 7. Calculate n(r). -21 Let l(z) be the second derivative of z**5/60 + z**4/6 - z**3/3 + 18*z**2 - 15*z. Let o(v) be the first derivative of l(v). What is o(-5)? 3 Let n(g) = -g**2 + 7*g. Let h be n(3). Suppose -h = 3*j - 5*m + 6*m, j + 4 = m. Let b(y) = y**3 + 4*y**2 - 5*y - 6. Calculate b(j). 14 Let n = -16 - -16. Let k be n - (-3 + (-8)/(-4)). Let m(r) = r**2 - r + 1. Calculate m(k). 1 Let i(x) = 10*x - 1. Let o(h) = h - 1. Let a(c) = i(c) - 2*o(c). Suppose 2*k + 2*m - 15 + 3 = 0, -2*k + 5*m = -5. Suppose k*y + 2 + 3 = 0. Give a(y). -7 Let y be (75/60)/(10/4). Let v(u) be the first derivative of y*u**2 - 1 - 11*u. Give v(6). -5 Let q(b) be the second derivative of -b**4/6 + 9*b**3/2 - 8*b**2 - 34*b. What is q(13)? -3 Let n(y) = 5*y**2 + 7*y + 1. Let d(u) = 12*u**2 + 15*u + 3. Let g(p) = 2*d(p) - 5*n(p). Let j = -3 - 1. Determine g(j). 5 Let h(s) = -s**2 - 7*s - 2. Let i be h(-6). Let w(j) = -j**2 + 2*j + 3. What is w(i)? -5 Let r be 204/60 - (-4)/(-10). Let t be (-6)/(-4) - 13/(-2). Let l(q) = t*q - 14 + 11 + 5*q**2 - 2*q**r + q**3 - 2*q. Give l(6). -3 Let o(z) = -z**3 + 2*z**2. Let a(d) = -d**3 + 26*d**2 - 49*d + 26. Let r be a(24). Give o(r). 0 Let g(o) be the first derivative of -11 + 4*o**2 + 3*o + 0 - 3*o**2. What is g(-5)? -7 Let a = 60 - 65. Let d(z) = 3*z**2 + 2*z + 3. Let l(h) = -2*h**2 - h - 2. Let s(y) = a*l(y) - 3*d(y). Give s(3). 7 Let b = -1137 - -1140. Let u(s) = -3 - 1 + s + 3. Calculate u(b). 2 Let s(u) = 4 + 0 - 2 - u**2 + 3*u. Suppose 75 = 11*r + 4*r. Determine s(r). -8 Let o(g) be the first derivative of g**2 + 26*g + 53. Give o(-14). -2 Suppose 2*q = -5*i + 3*i + 18, 0 = -2*i - 3*q + 18. Let o(f) = 2*f - 27. Give o(i). -9 Let n(z) = 3*z - 5. Suppose 4*w + 203 = -3*w. Let b = -25 - w. Give n(b). 7 Let m be (5/25*0)/3. Let w(g) = -1 + m*g + 8 - g. Give w(-7). 14 Let c(r) be the third derivative of -r**4/12 - r**3 + 24*r**2. Suppose 4*d - 9 = -1, -4*d = 2*n - 8. Let i be c(n). Let f(g) = g**2 + 6*g - 4. Give f(i). -4 Let v(z) = -8*z**2 + 13*z + 3. Let g(o) = 4*o**2 - 5*o - 1. Let b(i) = -5*g(i) - 2*v(i). Calculate b(1). -6 Suppose -t = -t + 4*t. Let l(z) = 2*z - 5. Let g(p) = -p + 3. Let a be g(6). Let u(v) = v - 4. Let r(i) = a*u(i) + 2*l(i). Calculate r(t). 2 Let s = 113 + -105. Let n(i) = -s - i**3 + 4 + 32*i**2 - 36*i**2 + 4*i. Give n(-5). 1 Let q(y) = -y - y**3 - 3*y**2 + 2*y**2 + 5 + 2. Suppose -f = -2*f - 6*f. What is q(f)? 7 Let j(b) = -438 - 435 + 864 - b. What is j(0)? -9 Let t(g) be the second derivative of g**5/20 + g**4/4 - 7*g**3/6 - g**2 + 3*g. Let j be (-27)/108*(20 + 0). Calculate t(j). -17 Let m(p) be the first derivative of -7*p - 1/2*p**3 - 1/20*p**5 + 1/3*p**4 + 3/2*p**2 + 6. Let v(z) be the first derivative of m(z). Determine v(3). 3 Suppose -119 = 16*c - 151. Let n(m) = m**3 - 6*m**2 + m + 4. Calculate n(c). -10 Let u(c) be the first derivative of c**4/4 + 5*c**3/3 + 3*c**2/2 - 2*c - 3. Suppose 0 = 6*m + 64 - 46. Determine u(m). 7 Let b = 87 + -69. Let g = -28 + b. Let x(a) = -a - 7. Determine x(g). 3 Let t = 12 + 0. Let c be (-1)/(-4) - (-57
{ "pile_set_name": "DM Mathematics" }
5 - -5) + -10. -9 Evaluate (-5 - -4 - (-2 - 8)) + (102 - 106). 5 Evaluate 727 + -697 + 2 + -50. -18 What is the value of 8 + -3 + (3 - 6) + 3? 5 Calculate 0 - -4 - ((-11 - -22) + -4). -3 What is the value of 23 - 8 - -9 - (-6 + 8 + -8)? 30 -7 + 1 + 5 - (-124 - -125) -2 What is the value of 7 + 2 - (36 - (-7 + 4))? -30 Calculate (-5 - (24 + -22)) + -6. -13 What is 7 - 16 - ((-14 - (5 + -12)) + 19)? -21 Calculate 1 + -13 + (174 - 174). -12 What is the value of 144 + -122 - (-4 + 2)? 24 Evaluate 34 + 25 + -52 - 34. -27 Evaluate (1 - 14) + 0 + -4 + 0 + 1. -16 What is -10 + 27 + -18 - -2? 1 Evaluate 49 - (8 - -8 - 2) - 9. 26 Calculate 11 - (7 - (-13 + -6 + 37)). 22 -4 - (11 + (-6 - -8) + -5 + 1) -13 What is the value of (8 - (-10 + 3 + 26)) + 1? -10 Calculate (17 - (-3 - -14 - -8)) + (1 - -7). 6 What is ((8 - -1) + (-3 - 2) - 20) + 6? -10 -2 - (-2 - 2) - (-24 - (-16 - 2)) 8 13 - (8 - (13 - (8 + -3) - 3)) 10 What is 16 + (0 - 8) + -3 + 6? 11 What is 2 + -14 - (4 + 14)? -30 What is the value of (-22 + (13 - 3) - -3) + 14? 5 (28 - 15) + -3 + 0 + 1 11 Calculate -11 - ((-2 - 1) + (0 + -2 - -7)). -13 Calculate 0 - (18 + (-9 - 0) - (2 + 1)). -6 Calculate 8 + (-10 - (-2 - -8)). -8 Evaluate (10 - -18 - 12) + -17. -1 Calculate -3 + (0 - -5) - 9 - (3 + -1). -9 (12 - -2) + (13 + -16 - -5) 16 Evaluate -565 + 554 + (0 - -17). 6 Evaluate 10 + -26 + 1 + 0 + -4. -19 Evaluate (2 - 12) + (7 - 8) + 32. 21 What is -18 + 18 - (17 + 6)? -23 What is the value of 6 - (-10 - -5 - -13) - (-1 - 12)? 11 14 - (11 - (4 + 7)) 14 Evaluate (-4 - (-1 + -4)) + 5 - (0 + -5). 11 What is 14 + (-46 - -27) - 9? -14 (53 - 70) + 0 + -3 + 6 -14 Evaluate 16 + (-17 - -31 - (5 + 43)). -18 Calculate 8 - ((7 - 14) + (-1 - -10)). 6 What is the value of -19 - (4 + -8 - -12)? -27 What is the value of (2 - 5) + 4 - ((-2 - -5) + 1)? -3 -1 - 7 - (-5 + 0 + (-20 - -30)) -13 What is (-12 + -2 - -12) + 5 + 4 + -2? 5 -34 + 17 + 4 + 3 + 19 9 -28 + 13 - (-5 - -14) -24 What is the value of -7 + (1 - ((-2 - -3) + -1))? -6 What is -8 - (0 + -6 + 12 + -4 + 12)? -22 What is -2 + 0 + 4 - (31 + -38)? 9 Evaluate -19 - (12 - (20 + -8 + -6)). -25 11 + -13 + 1 + 8 7 What is -10 + 14 + -11 + 14? 7 What is the value of -577 + 582 - (2 + -1)? 4 24 + -18 - (0 + -18) 24 (-23 - (9 - 6)) + -8 - -5 -29 Calculate 2 + 18 + (-1 - 18) + 13 + -1. 13 What is the value of 6 + -1 - (7 - -15 - 24) - -14? 21 What is (1 - 4 - -10) + 2 + -11? -2 (-10 - -13) + 3 + -2 + 1 + 3 8 Evaluate (-5 - -19) + -2 + (8 - 3) + 0. 17 What is -9 - (7 - (-1 - -4) - 6) - -4? -3 What is -3 + 2 - (-7 + (-11 - -17)) - -21? 21 -6 - -1 - (-16 + 5 + 10) -4 Evaluate (-15 - -5) + (-7 + -2 - -3). -16 Calculate -14 - (-3 + -16) - -12. 17 What is the value of (41 + -13 - 46) + 30? 12 Calculate -18 + (48 - 20) - (-7 - -9). 8 What is the value of 15 + -12 + 1 + 57 + -52? 9 5 - (-10 - (-5 + 3) - -3) 10 3 + 7 - (-20 + 60 + -40) 10 -9 - (73 + -79 - (12 + -2)) 7 Calculate 0 + -5 - (1 + -9). 3 What is -10 - ((5 - 1) + (-18 - -4))? 0 What is 8 + (18 - (15 + 4)) + 1 + 10? 18 What is the value of (10 - -1 - (14 + 16 + -16)) + 5? 2 (-4 + (-3 - -3) - 9) + (47 - 44) -10 Evaluate 38 - (69 + 24 + -68). 13 What is the value of 2 - (12 + -16 - 6 - -5)? 7 Evaluate (176 - 195) + (2 - (3 - -2)). -22 What is -29 - (2 + -2 + (5 - (2 + 13)))? -19 Evaluate -9 - (-37 + 5 - -12 - (5 - -4)). 20 Evaluate -13 - (-2 + -7 - (9 + -4 + -11)). -10 Calculate -15 - (13 + -2 + 1 + -48). 21 Evaluate 4 - (1 + -11 + 5) - 18. -9 Calculate (0 - 1) + (1 - (-14 + 22)). -8 Evaluate (11 - 2 - 5) + 4 + 4 + 1. 13 What is 15 + -24 + 22 + -27 - 3? -17 What is the value of -1 + 1 - (30 + -40 + 15)? -5 What is the value of (-2 - -15) + -9 + (4 - 13) + 21? 16 What is -13 + (7 + 1 - 3)? -8 -7 + (5 - (2 + -10 - 5)) 11 What is -2 - (-2 + (-2 - -3) - (1 + 0))? 0 Evaluate -15 + 1 - ((-11 - (13 - 20)) + 2). -12 1 + 0 - (3 + -36 + 27) 7 What is 11 + 0 + -8 + (9 - (17 + -18))? 13 What is -2 + -4 + 2 + 1 - 9? -12 What is the value of (3 - (0 - -9 - 1)) + -2 + 8? 1 Evaluate (-1397 - -1405) + (1 + -6 - 1). 2 What is the value of -15 + (-9 - (-18 + 0 + -8 + 9))? -7 What is the value of -4 - 21 - (-8 - (0 + 5))? -12 Calculate (-1 - -25) + 0 + 2 + -28 + 26. 24 10 + -36 + 17 - (4 + -2) -11 2 + -1 + 14 - (-1935 - -1939) 11 Calculate -1 + -2 + 200 + -190 + -29. -22 Calculate 2 - 27 - (348 + -401). 28 Calculate -516 - -539 - (1 - 6 - 3). 31 What is -5 + 24 + (12 - 28)? 3 Calculate (-54 - -22) + 11 - -10. -11 (3 - -18 - 2) + 6 + -6 + -6 13 Evaluate -17 - (2 + -8 + 15 + 6). -32 Evaluate 0 + (5 + -1 + -10 - -20). 14 What is (29 - 14) + 2 + -26 + -9? -18 Calculate 1 + 1 + -2 + 132 + -146. -14 What is (3 + (-6 - -6) - 4) + (-4 - -16)? 11 Calculate (3 - 7) + 5 + 1 - (24 - 6). -16 What is the value of -123 - -134 - (-2 - -17)? -4 What is (21 - (-16 - -13)) + -2? 22 Evaluate (-1 - 9) + (11 + -1 - (-31 - -41)). -10 What is the value of -3 + 4 + 3 - ((-1 - 9) + 8)? 6 What is 0 - (21 + 2) - (320 - 326)? -17 What is the value of (9 - (3 - 3) - 17) + 18? 10 Calculate -1 + 9 + (-26 - 1). -19 Calculate (-6 - -1) + (-24 - (-4 - 10) - -3). -12 Calculate 6 - (-5 - (6 + -6 + -1 + 3)). 13 What is the value of -3 + 7 + (2 - 6) + -2? -2 (5 - (24 + -12)) + 5 -2 Evaluate -16 - (-2 + (-5 - 10) - -8). -7 Evaluate (-8 - -2) + (-16 - -20) + -3. -5 116 - 96 - (-3 - -26) -3 Calculate (12 - 1) + -50 + 48 - 0. 9 What is the value of -27 + 11 - (-29 - 2)? 15 Calculate 7 + -5 + (33 - 25). 10 What is -2 - (20 - (4 - 1 - (-6 - -2)))? -15 What is the value of -65 - -76 - (5 + 5)? 1 What is the value of 6 + -3 + (-9 - -8) - -3? 5 Calculate -2 + 9 + 3 + -6 + -14 + 0. -10 Calculate -10 - (1 + -4) - (-12 + 11 + 9). -15 What is (29 - 57) + 19 + (-3 - -6)? -6 (-22 + 55 - 43) + 24 14 What is the value of -93 + 80 - (-2 - (7 + -2 + -1))? -7 Calculate -20 - (41 + -51 - -26). -36 What is -15 + -5 + 35 - (4 - 13)? 24 Evaluate -8 - (7 + 1 + -2 - (-11 + 31)). 6 -3 + -4 + (7 - -9) 9 Evaluate -8 + -5 + (-4 - (-11 + -4)) + -8. -10 What is the value of -42 + 38 + (3 - 0) + -2 - -15? 12 (1 + 3 + 6 - 14) + 7 + -1 2 Calculate (6 - 1) + -1 + (-3 - (14 + -3)). -10 What is the value of 14 - 2 - (6 + -21 - -35)? -8 Calculate 2 - -6 - -30 - (-6 + 8 + 8). 28 What is -519 + 538 - (-2 + 24)? -3 What is 22 + -25 - (8 + 0)? -11 5 + -12 + 18 + 10 + -4 17 Evaluate 9 - (-24 + (21 - 3)). 15 What is the value of 1 + 5 + -17 + -6 + 11 + -6? -12 (-7 + 0 - (7 - 20)) + 2 8 Evaluate 64 + -40 + -38 - (-7 + 1 + -2). -6 Calculate -32 + -48 + 56 + 2 + 0. -22 Evaluate (48 - 76) + (6 - -6). -16 What is the value of -17 + 10 + (2 - 2) - -19? 12 What is 22 - 22 - (18 - (7 + -1 - -1))? -11 Calculate -15 - (22 + -10 + -18). -9 What is -5 + (14 - 5) + 8 - (3 - 2)? 11 Calculate 11 + -18 + 6 - 6 - -5. -2 What is -6 - (25 + -8 + 6)? -29 What is -5 - (-24 + 25 + -34)? 28 -5 - (-7 + 5) - (-10 - 3) 10 -1 + (14 - 2) + -25 + 12 -2 Calculate (89 - 118) + (-2 - (4 + (-3 - 10))). -22 Evaluate 27 + -24 - (-2 - -6 - 1 - -6). -6 Evaluate -553 + 549 - (-1 + 0 - (-21 - 0)). -24 What is (14 - 41) + 47 - 32? -12 0 + 5 + (6 - (14 + -11 - -8)) 0 -7 + (-4 - (-5 - -3)) + 21 - 5 7 (-23 - -42) + 7 + -14 12 -9 - ((-2 - -4 - 3) + -6 + 5) -7 What is (3 - (-7 - -13)) + -11 + 4 + 3? -7 Evaluate (-2 + 2 + (-27 - -24) - 8) + -3. -14 Calculate (2 - (7 - 21)) + 0. 16 -8 + 17 + -2 + 5 12 What is -51 - -47 - (4 - 3)? -5 Evaluate -19 - -23 - (4 - -6). -6 -6 + 0 + 5 + (2 + 1 - -5) 7 Calculate -31 - (3 - 12 - ((8 - 0) + -9)). -23 What is (-12 - 1) + 77 + (-20 - 37)? 7 Calculate 19 + (-1 - (-6 + 3 + -4 + 10)). 15 Evaluate -3 - 21 - -10 - 4. -18 Calculate (1 - -17) + -16 + (-2 - -7). 7 What is the value of 3 - 5 - 1 - (-5 + -8)? 10 What is the value of -10 - -48 - 23 - 24? -9 What is the value of 4 - (6 - ((-8 - 5) + 15 + -6))? -6 What is the value of 31 - ((7 - 12) + 19)? 17 What is the value of 5 - ((0 - 3) + (6 + 2 - 13))? 13 Evaluate (1 - 1) + (-7 + 15 - 9). -1 11 - 1 - (-10 + 7 - -11) - 22 -20 What is the value of 14 - (-13 - (-17 + -1))? 9 -13 + 12 + -9 - -23 - -3 16 Evaluate (-20 - -17) + (6 - 12). -9 What is the value of -6 + 5 + (8 - 1) - -5? 11 What is (15 - ((-2 - 16) + 41)) + -20? -28 What is -37 - -30 - (0 + 2 + 10 + -38)? 19 (3 - -2 - (-40 - -35)) + (-21 - 0) -11 Calculate (7 + (-3 - 10) - 9) + 5. -10 Evaluate -15 + (6 - -27) - -8. 26 Evaluate (
{ "pile_set_name": "DM Mathematics" }
r letters picked without replacement from {r: 7, a: 1, e: 3, o: 2, w: 1}. 2/1001 Calculate prob of picking 2 o when two letters picked without replacement from coaoilia. 1/28 Four letters picked without replacement from ppelpipilfipiiiiii. Give prob of picking 3 p and 1 e. 1/306 Three letters picked without replacement from {l: 1, o: 1, t: 2, b: 2, y: 4}. Give prob of picking 1 t, 1 y, and 1 b. 2/15 Calculate prob of picking 3 v when three letters picked without replacement from {m: 1, z: 1, v: 1, g: 2, k: 5}. 0 Three letters picked without replacement from {g: 6, x: 3, o: 5, l: 1}. Give prob of picking 1 g and 2 o. 12/91 What is prob of picking 1 f and 1 y when two letters picked without replacement from {z: 3, y: 5, f: 3}? 3/11 Calculate prob of picking 2 g and 1 e when three letters picked without replacement from {e: 1, c: 5, k: 1, g: 2}. 1/84 What is prob of picking 1 q and 2 z when three letters picked without replacement from qzzqzqzzqqqqq? 40/143 What is prob of picking 1 p, 1 r, and 2 o when four letters picked without replacement from {o: 2, r: 1, p: 1, c: 1}? 1/5 What is prob of picking 4 y when four letters picked without replacement from myyyymymymyyyy? 30/143 What is prob of picking 2 b when two letters picked without replacement from {u: 1, r: 1, b: 2, i: 2, s: 1}? 1/21 Two letters picked without replacement from {r: 5, t: 9}. Give prob of picking 1 t and 1 r. 45/91 Three letters picked without replacement from hhhhshdhpdwosspodso. What is prob of picking 1 h, 1 d, and 1 o? 18/323 Calculate prob of picking 1 l and 1 g when two letters picked without replacement from wlpwndg. 1/21 Four letters picked without replacement from udqfudqquqqqdqfqqq. Give prob of picking 1 q, 1 u, and 2 f. 1/102 What is prob of picking 1 m and 1 k when two letters picked without replacement from fkffffkkfffmkf? 4/91 What is prob of picking 1 m and 2 v when three letters picked without replacement from hjvvjbjvvvhqvhmvbjhb? 7/380 Calculate prob of picking 1 t, 2 l, and 1 n when four letters picked without replacement from hhqnhlqtllnqlll. 2/91 Four letters picked without replacement from {b: 4, n: 6, k: 5}. Give prob of picking 2 k and 2 n. 10/91 What is prob of picking 1 q, 1 l, and 1 z when three letters picked without replacement from bzzzqzbqbzzlqqqz? 1/16 What is prob of picking 2 l and 1 j when three letters picked without replacement from {l: 2, m: 1, j: 3, i: 13}? 1/323 Two letters picked without replacement from rwpxhgrx. Give prob of picking 1 p and 1 x. 1/14 What is prob of picking 3 n when three letters picked without replacement from {g: 7, n: 6}? 10/143 Four letters picked without replacement from {s: 3, a: 1}. What is prob of picking 4 a? 0 Two letters picked without replacement from {w: 2, a: 1, x: 1, v: 1, d: 1, q: 1}. What is prob of picking 1 d and 1 x? 1/21 Calculate prob of picking 2 w when two letters picked without replacement from {r: 14, w: 5}. 10/171 Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {t: 1, m: 2, o: 4, g: 2}. 1/9 Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {b: 2, v: 1}. 2/3 Four letters picked without replacement from {s: 1, p: 19}. What is prob of picking 4 p? 4/5 Two letters picked without replacement from zrzzzzozzzz. Give prob of picking 1 r and 1 o. 1/55 Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {h: 6, f: 3, x: 1, r: 3}. 1/26 Calculate prob of picking 4 r when four letters picked without replacement from {r: 5}. 1 Two letters picked without replacement from {i: 2, p: 3}. Give prob of picking 1 p and 1 i. 3/5 Two letters picked without replacement from xnnggcknwwxkxg. What is prob of picking 1 k and 1 x? 6/91 Two letters picked without replacement from {n: 1, h: 2, i: 1}. What is prob of picking 1 i and 1 h? 1/3 Two letters picked without replacement from pzdbz. Give prob of picking 1 z and 1 d. 1/5 Four letters picked without replacement from aoaaxooxaxoxxxxxx. Give prob of picking 2 x and 2 o. 54/595 What is prob of picking 1 r and 3 a when four letters picked without replacement from {a: 5, r: 2, k: 3}? 2/21 What is prob of picking 1 j, 1 g, and 1 v when three letters picked without replacement from {g: 1, f: 2, v: 1, o: 1, c: 5, j: 3}? 3/286 Calculate prob of picking 2 f when two letters picked without replacement from ofxhof. 1/15 Three letters picked without replacement from {f: 4, a: 3, x: 3, c: 3}. What is prob of picking 1 c and 2 a? 9/286 Calculate prob of picking 2 v and 2 e when four letters picked without replacement from vvveveveeeee. 14/33 Four letters picked without replacement from uwwzzzwuwzzzwzwzz. Give prob of picking 2 w, 1 u, and 1 z. 27/238 What is prob of picking 1 a and 1 w when two letters picked without replacement from {w: 9, a: 3}? 9/22 Calculate prob of picking 2 s when two letters picked without replacement from {v: 2, s: 9}. 36/55 Three letters picked without replacement from {n: 3, z: 1, j: 1, w: 5, b: 3}. Give prob of picking 3 b. 1/286 Calculate prob of picking 1 j and 2 c when three letters picked without replacement from jcsscscjvjjjjjjcv. 6/85 Four letters picked without replacement from {q: 4, g: 4, k: 8}. What is prob of picking 3 q and 1 g? 4/455 Three letters picked without replacement from czkccezcvkk. Give prob of picking 2 z and 1 c. 4/165 Four letters picked without replacement from {l: 1, t: 4, x: 8, a: 4, m: 2}. Give prob of picking 2 x and 2 a. 14/323 What is prob of picking 1 c and 2 z when three letters picked without replacement from {c: 2, z: 3, k: 3}? 3/28 Two letters picked without replacement from {t: 15, h: 4}. What is prob of picking 2 t? 35/57 Calculate prob of picking 2 b and 1 y when three letters picked without replacement from {g: 1, b: 2, a: 7, y: 1, w: 4}. 1/455 Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, w: 3}. 5/14 Two letters picked without replacement from ttjjtmmmmmmttm. Give prob of picking 1 m and 1 j. 2/13 Calculate prob of picking 3 g and 1 y when four letters picked without replacement from gggyggggygyyyyggggg. 143/323 Three letters picked without replacement from llcccll. What is prob of picking 1 c and 2 l? 18/35 Two letters picked without replacement from {a: 12, x: 1, u: 6}. Give prob of picking 2 u. 5/57 Calculate prob of picking 1 u and 1 c when two letters picked without replacement from uuccu. 3/5 Four letters picked without replacement from hygbyybnbbbgbynn. Give prob of picking 2 n and 2 y. 9/910 Four letters picked without replacement from pppwppppwppwwp. Give prob of picking 4 p. 30/143 What is prob of picking 1 t, 1 p, and 1 q when three letters picked without replacement from rdpqqtddqqpqqpqdrp? 7/204 What is prob of picking 3 o and 1 r when four letters picked without replacement from {r: 13, w: 1, b: 2, o: 3}? 13/3876 Four letters picked without replacement from gjgfgffffggfjf. Give prob of picking 4 f. 5/143 What is prob of picking 1 e and 1 m when two letters picked without replacement from eefcmefbefbfem? 10/91 Three letters picked without replacement from wnlwllxwwl. What is prob of picking 2 w and 1 n? 1/20 Calculate prob of picking 2 j and 1 r when three letters picked without replacement from rrrrrrrrrrrjrrrjrrrr. 3/190 Four letters picked without replacement from cccccocococvcoccoccc. What is prob of picking 4 o? 1/969 Calculate prob of picking 1 u and 1 x when two letters picked without replacement from vuuvuuuxauvuaa. 1/13 Calculate prob of picking 2 l when two letters picked without replacement from pnllllnlnn. 2/9 What is prob of picking 2 t when two letters picked without replacement from {i: 2, t: 2, e: 1, x: 6}? 1/55 Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {e: 2, f: 1, x: 4, y: 8, u: 1}. 1/60 Two letters picked without replacement from rrrwrrrrwrsrsrr. What is prob of picking 1 w and 1 r? 22/105 What is prob of picking 3 w when three letters picked without replacement from {h: 4, w: 7}? 7/33 Four letters picked without replacement from {u: 3, h: 6, w: 4, z: 4}. Give prob of picking 1 w, 2 u, and 1 z. 12/595 Two letters picked without replacement from ttflttlttttfttff. Give prob of picking
{ "pile_set_name": "DM Mathematics" }
2 - 36*m + 5. Determine c(g) + 4*i(g). -3*g**2 + 32*g + 1 Let b(f) = f**3 + f. Let g(k) = -4*k - 2 + 2 - 8*k**3. Let d be (14860/80)/((-5)/(-40)). Let q = d + -1487. What is q*g(y) - 4*b(y)? 4*y**3 Suppose 27*a + 1960 = -8*a. Let u(y) = -29*y**2 - 5*y + 5. Let l(r) = -320*r**2 - 56*r + 56. Determine a*u(s) + 5*l(s). 24*s**2 Let o(h) = 2*h**3 + 2*h**2 - h - 1. Let w(v) = -8*v**3 - 280*v**2 + 2*v + 2. Calculate 2*o(i) + w(i). -4*i**3 - 276*i**2 Let c(q) = 4*q - 6. Let i(x) = 10*x + 15*x - 6 + 10*x - 6*x - 25*x. Determine 7*c(y) - 6*i(y). 4*y - 6 Let m(i) = -70*i**3 - 3*i**2 - 4*i - 224. Let b(d) = -94*d**3 - 4*d**2 - 5*d - 225. Calculate 3*b(x) - 4*m(x). -2*x**3 + x + 221 Let x(b) = -3*b**2 + 2*b - 272. Let j(v) = 4*v**2 - 3*v + 270. Give 2*j(k) + 3*x(k). -k**2 - 276 Let f(w) = 154*w - 1399. Let c(s) = -128*s + 1399. Give -6*c(b) - 5*f(b). -2*b - 1399 Let w(g) = -2*g**2 + 5*g - 11. Let z(k) = 7*k + 4 - 9*k + 4162*k**2 - 4161*k**2. Determine -4*w(j) - 11*z(j). -3*j**2 + 2*j Let n(p) = 22*p. Let m(s) = -343*s + 686*s - 339*s. Give 24*m(q) - 4*n(q). 8*q Let s(v) = -v**3 - v. Let q(h) = -36*h. Suppose -2268 = 58*k - k + 6*k. Determine k*s(f) + q(f). 36*f**3 Let z(r) = 2*r**3 + 12*r**2 + 14*r. Let a(y) = -44*y**2 - 2*y + 7. Let l(n) = -25*n**2 - n + 4. Let i(x) = -4*a(x) + 7*l(x). Calculate -12*i(o) + z(o). 2*o**3 + 2*o Let p(b) = 2*b**2 + b - 2. Let z = 4293 - 4295. Let q(r) = -4*r**2 - 3*r + 4. Calculate z*q(m) - 5*p(m). -2*m**2 + m + 2 Let x(m) = -134*m**3 - m**2 + 9*m + 36. Let j(b) = 3*b**3 + b + 6. What is 6*j(h) - x(h)? 152*h**3 + h**2 - 3*h Let g(z) = -2605*z**3 + 11*z**2 - 11*z. Let u(v) = -521*v**3 + 2*v**2 - 2*v. What is -2*g(b) + 11*u(b)? -521*b**3 Let j(w) = -47367*w**3 - 45*w**2 - 45*w - 225. Let n(z) = -2153*z**3 - 2*z**2 - 2*z - 10. What is -2*j(i) + 45*n(i)? -2151*i**3 Let j(w) = 3872*w - 9. Let a(t) = -34875100*t + 81060. Calculate -6*a(f) - 54040*j(f). 7720*f Let y be 480/(-140) - (36/14 - (-12 + 15)). Let u(p) = 2465*p**2 - 232. Let j(a) = -32*a**2 + 3. Give y*u(c) - 232*j(c). 29*c**2 Let m(l) = 178*l - 81*l - 64*l + 210. Let a be m(-6). Let j(d) be the second derivative of d**5/4 + 2*d**3/3 + d. Let z(r) = r**3 + r. What is a*z(i) - 3*j(i)? -3*i**3 Let i(o) = 16*o**3 + 12*o**2 + 12*o + 12. Let r(l) be the second derivative of -l**5/20 + l**4/12 + l**3/6 + l**2/2 - 19*l + 29. Calculate i(f) - 12*r(f). 28*f**3 Let m = 15 + -9. Let f(c) = 67348*c - 67345*c + 0 - 4. Let t(q) = -8*q + 11. Calculate m*t(g) + 17*f(g). 3*g - 2 Let r(q) = 2*q + 3. Suppose m = -2 + 9. Let p be (-2 - (4 + -6)) + -5. Let z be (p - -3)/(-4)*8. Let k(l) = -4*l - 5. Give m*r(s) + z*k(s). -2*s + 1 Let z(x) = -59*x**2 - x - 2. Let v(f) = -350*f**2 - 27*f - 8. What is v(t) - 4*z(t)? -114*t**2 - 23*t Let j(m) = 18 + 7 + 4 - 47 + 17. Let s(g) = 2*g + 4. Suppose -21 = -4*q - 3*p, -3*q - 2*p = -5*q. Determine q*j(h) + s(h). 2*h + 1 Let o(r) = -4*r**2. Let u(m) = m**2. Let t(d) = d**3 + 3*d**2 - 33*d - 30. Let i be t(-7). Let v = -1 + 2. What is i*u(j) + v*o(j)? j**2 Let j(g) = 57*g + 6. Let l(w) = -29*w - 2. Determine 3*j(u) + 7*l(u). -32*u + 4 Let q(m) = 11 + 88*m**3 - 2*m**2 + 71*m**3 - 148*m**3 - 5*m. Let c(z) = -5*z**3 + z**2 + 2*z - 5. Determine -5*c(f) - 2*q(f). 3*f**3 - f**2 + 3 Let w(x) = -17*x**3 - 3*x**2 - 6657*x - 35. Let o(f) = 7*f**3 + f**2 + 3329*f + 14. What is -5*o(p) - 2*w(p)? -p**3 + p**2 - 3331*p Let z(v) = -1. Suppose k + 4 = 2*q, 0*k - 4*k = q + 7. Let y(j) = 12*j - 4 - 3*j + 0*j - 2*j**2 + 2*j. Let d be y(5). Let o(c) = 3*c. What is d*o(i) + k*z(i)? 3*i + 2 Let b(o) = 285*o - 45. Let u(a) = -3*a + 127. Let i(z) = 2*z + 25. Let k(j) = -5*i(j) + u(j). Give -4*b(q) - 90*k(q). 30*q Let g(h) = 3664*h**3 - 7*h**2 + 7*h + 14. Let s(k) = 1831*k**3 - 3*k**2 + 3*k + 6. What is -3*g(x) + 7*s(x)? 1825*x**3 Let w(q) be the second derivative of -q**3/6 - 7*q**2/2 - 2246*q. Let t(r) = 4*r + 20. Determine 6*t(n) + 17*w(n). 7*n + 1 Let s(x) = 92*x**2 + 67*x**2 - 2*x - 3 - 158*x**2 - 1 + 5 + x. Let q(g) = -2 + g + g**2 + 2. Give -q(d) - s(d). -2*d**2 - 1 Let v(t) = 31*t**2 + 5*t. Let k(y) = y**2 + 10*y. Calculate 2*k(j) - v(j). -29*j**2 + 15*j Let s(x) = -71*x**3 - 7*x**2. Let c(i) = -214*i**3 - 20*i**2. Determine -3*c(p) + 8*s(p). 74*p**3 + 4*p**2 Let j(b) = -5. Let x = 62 + -42. Suppose -51*y = -46*y + x. Let m(d) = -d - 4. Give y*j(z) + 5*m(z). -5*z Let k be (-1827)/(-783) + (-22)/3. Let n(t) = 28*t + 5. Let y(s) = -29*s - 6. Determine k*y(u) - 6*n(u). -23*u Suppose j + 5*i = -21, 0 = 4*i - 2*i + 8. Let a(v) = 3*v**3 - v**2 + 4*v + 4. Let r(t) = -t**2 - t - 1. What is j*a(h) - 4*r(h)? -3*h**3 + 5*h**2 Let y(d) be the second derivative of 4 - 23*d + 1/2*d**2 - 1/6*d**3. Let h(p) = 2*p**3 + 2*p - 2. What is -h(j) - 2*y(j)? -2*j**3 Let a(p) = 650*p - 1. Let n(r) = 8*r. Calculate -a(f) - 4*n(f). -682*f + 1 Let d(f) = -6*f**2 - 39*f - 5. Let m(v) = 7*v**2 - v - 1. Let h(b) = 103*b**2 - 74*b - 24. Let q(k) = h(k) - 16*m(k). Give -8*d(u) + 5*q(u). 3*u**2 + 22*u Let h(r) be the second derivative of r**3/3 - 8*r**2 - 161*r + 4. Let b(d) = -d - 1. Determine 4*b(z) + h(z). -2*z - 20 Suppose -2*w - 19 = -4*i + 11, -12 = -i - 4*w. Let k(t) = t + 9*t**3 + i - 1 - 13. Let r(y) = -10*y**3 - y + 7. Calculate -7*k(o) - 6*r(o). -3*o**3 - o Let z(l) = 2*l**2 - 2*l - 1. Let s(q) = -5*q**2 + 5*q + 2. Let a be 7*(-36)/(-189)*3. Determine a*s(k) + 9*z(k). -2*k**2 + 2*k - 1 Let c(g) = 10*g**2 + g - 5. Let b be 20 + -10 - (0 - 0). Let y(k) = 7*k + b + 0*k - 55 - 4. Let w be y(6). Let t(j) = 15*j**2 + j - 7. What is w*c(a) + 5*t(a)? 5*a**2 - 2*a Let w(d) = 5*d**2 + 6. Let v(h) = -15*h**2 - 17. Let c(q) = -q + 4. Let b be c(2). Suppose 0 = 2*g + 3*k + 43, -3*g - 4*k = b*g + 97. What is g*w(p) - 6*v(p)? 5*p**2 Let v(i) = 4*i**3 + 2*i**2 - i. Let u(o) = -7*o**3 - 5*o**2 + o. Suppose 0 = 160*s + 92*s + 504. Give s*u(q) - 5*v(q). -6*q**3 + 3*q Let h(m) = 9*m + 2. Let c be ((-6)/(-12) - 3)*4/(-5). Let z(a) = -3*a - 3*a - c - a + 1 + 6*a. Determine h(x) + z(x). 8*x + 1 Let i(d) = -4*d + 24. Suppose -165 = -8*l - 321 + 172. Let z(f) = -f + 5. Calculate l*i(c) - 11*z(c). 3*c - 7 Let a(d) = 1 + 8 - 3*d - 3*d. Let u = 170 + -163. Let j(h) = 6*h - 36. Let l(k) = -3*k + 16. Let f(p) = -3*j(p) - 7*l(p). Calculate u*f(o) + 3*a(o). 3*o - 1 Let h(x) = -x**3 - x**2 + 1. Let q be ((396/55)/3)/((-12)/(-30)). Let d(s) = 7*s**3 + 6*s**2 - 13. Give q*h(f) + d(f). f**3 - 7 Let k(a) = 2*a**2 - 3*a - 1. Let p(j) = -10*j**2 + 7*j - 142. Give -4*k(b) - p(b). 2*b**2 + 5*b + 146 Let y(p) = 5*p - 3. Let k(d) = -10*d + 6. Let i(n) = -2*n**2 - 14*n + 40. Let u be i(2). What is u*k(s) + 9*y(s)? 5*s - 3 Let l = 5 + -8. Suppose -991 + 1095 = 8*n. Let a(x) = -2 - 18*x**3 + 3*x - 8*x + 32*x**3 - n*x**3. Let s(i) = -i**3 + 3*i + 1. What is l*a(t) - 5*s(t)? 2*t**3 + 1 Let l(m) = -m**2 - 3*m - 5. Suppose 3*w = -648 + 654. Let n(s) = 4*s - s + 36 - 30 + s + s**w. Give 4*l(q) + 3*n(q). -q**2 - 2 Let u(m) = 196*m**3 + 9*m**2 - 2*m. Let d(t) = -197*t**3 - 11*t**2 + 2*t. Give -4*d(j) - 5*u(j). -192*j**3 - j**2 + 2*j Let g be 0 + -1 - (-39 + 29). Let y be g/((-891)/18) - (-246)/22. Let l(w) = 10*w - 17. Let c(r) = -3*r + 6. Determine y*c(z) + 4*l(z). 7*z - 2 Let s(d) = -3*d**3 - 7*d**2 + d - 3. Let c(k) = -k**3 - 3*k**2 - 1. Let t be (7/14 + 3)*2. Determine t*c(g) - 3*s(g). 2*g**3 - 3*g + 2 Let w be (-984)/84 - ((-18)/(-14) + -1). Let h(a) = -a**2 + a. Let d(x) = -6*x**2 + 10*x. Calculate w*h(o) + d(o). 6*o**2 - 2*o Let f(h) = 4*h**3 + 2*h**2 - 2*h - 2. Let s(p) = 16*p**3 + 9*p**2 - 9*p - 9. Let k be (-188)/(-10) - (12/(-20))/3. Suppose 27 + k = 23*l. Give l*s(g) - 9*f(g). -4*g**3 Let v = 234 - 235. Let g(i) = 30 - i + 32 + 25 + 6*i - 94. Let o(l) be the first derivative of -l**2/2 + l - 3. Give v*g(y) - 6*o(y). y + 1 Let c(w) = -2*w - 1. Let a(y) = y. Suppose 3*r - m = -140 + 136, 0 = 4*r + 4*m - 32. What is r*c(l) - 5*a(l)? -7*l - 1 Let q be 108/27 - (0 - 3). Let h(p) = -5*p + 30. Let f be h(q). Let o(a) = a**2 + 5*a - 9. Let x(k) = 2*k**2 + 8*k - 14. Give f*x(v) + 8*o(v). -2*v**2 - 2 Let w(r) = 1. Let y(g) be the second derivative of g**4/4 - g**3/3 - 3*g**2 - 4*g + 72. Determine 4*w(n) + y(n). 3*n**2 - 2*n - 2 Let a(d) = 7*d**3 + 2*d + 2. Suppose q - 137 = 4*j, 5*q - 58 = -8*j + 9*j. Let o(n) = -36*n**3 - 11*n - 11. Give j*a
{ "pile_set_name": "DM Mathematics" }
+ 8/5 = 0? 2/7, 2 Suppose 2*t + 0*t = -28. Let o = t - -20. Factor o*y**4 - 3*y**4 + 3 + 0*y - 6*y**3 - 6*y**4 + 6*y. -3*(y - 1)*(y + 1)**3 Suppose -96*y + 376 = -2*y. Find f such that 0 - 16/3*f - 2/3*f**3 + y*f**2 = 0. 0, 2, 4 Let d(r) be the first derivative of -r**3/12 - 11*r**2/8 - 9*r/2 + 69. Let d(m) = 0. Calculate m. -9, -2 Let v = -3191/3 + 3193/3. Find h, given that 0 - 1/3*h**2 + 2/3*h - v*h**3 + 1/3*h**4 = 0. -1, 0, 1, 2 Suppose 16*u + 444 = 22*u. Let m be 2/(-9) - (-5 + u/18). Determine n so that 8/3*n + 2 + m*n**2 = 0. -3, -1 Suppose -4*j - 2*c + 34 = 0, -3*c + 15 + 8 = 2*j. Factor 5*m**2 - 12*m**3 - 28*m**3 - 25*m**2 - 18*m**4 - j*m**4 - 5*m**5. -5*m**2*(m + 1)*(m + 2)**2 Let z(w) be the third derivative of -w**5/75 + w**4/5 - 6*w**3/5 + 187*w**2. Factor z(h). -4*(h - 3)**2/5 Let -4/5*p**4 + 16/5*p**3 - 32/5 + 12/5*p**2 - 8*p = 0. What is p? -1, 2, 4 Let t be 0 - ((-36)/104 + 0). Let a = t + 2/13. Factor -3/4 + 1/4*d**2 + a*d. (d - 1)*(d + 3)/4 Let n be 6/(-48)*(-4 + 3). Let u = n - 0. Factor 1/4*p - 1/8 - u*p**2. -(p - 1)**2/8 Let l(q) be the second derivative of q**4/6 - 32*q**3/3 + 256*q**2 - 2*q - 15. Let l(f) = 0. What is f? 16 Let k(x) = x**2 + 6*x + 5. Let z be k(-5). Suppose 50 = -2*l + 38, 4*f - 2*l - 20 = 0. Factor -3/5*c**3 + 3/5*c**4 + z*c - 6/5*c**f + 0. 3*c**2*(c - 2)*(c + 1)/5 Let k(z) be the first derivative of 18 - 14*z**4 - 2 + 15*z**4. Factor k(m). 4*m**3 Suppose s + s + 14 = -4*q, 0 = 2*q - 2*s - 8. Let b be (q/(-2))/((-1)/(-4)). Let 0*d + 0*d - 82*d**2 + 78*d**b = 0. What is d? 0 Suppose 9/7*i**5 + 33/7*i**2 - 96/7*i - 69/7*i**4 + 87/7*i**3 + 36/7 = 0. What is i? -1, 2/3, 1, 6 Let r(b) = 20*b**2 + b + 7. Let t be 3*(-1 - (-30)/9). Let a(x) = -20*x**2 - 2*x - 6. Let u(y) = t*a(y) + 6*r(y). Factor u(f). -4*f*(5*f + 2) Let f be 29*(-5 + 10/1). Let b = f + -143. Factor -3/2*t + 1 + 3/4*t**b - 1/8*t**3. -(t - 2)**3/8 Let j(c) be the second derivative of -1/5*c**6 - c + c**5 - 8 + 0*c**3 + 0*c**4 - 1/21*c**7 + 0*c**2. Determine m so that j(m) = 0. -5, 0, 2 Let w be 328/480 - 10/15. Let u(h) be the third derivative of 1/24*h**4 + 0 - 12*h**2 + 0*h + w*h**5 + 0*h**3. Factor u(y). y*(y + 1) Let l = 12694 + -12694. Find a such that -2/5*a**5 - 2/5*a**2 + 2/5*a**4 + 6/5*a**3 + l - 4/5*a = 0. -1, 0, 1, 2 Suppose 0 = -5*s + 6*s. Factor 2 - 10*o**2 + 8 + 5*o + s*o**2 - 5*o**3. -5*(o - 1)*(o + 1)*(o + 2) Suppose 3*j = z - 4 - 125, -3*z + 3*j + 369 = 0. Let k be (6/(-10))/((-36)/z). Let 0 + 1/2*r**4 - 1/2*r**k + 0*r**3 + 0*r = 0. What is r? -1, 0, 1 Let k(z) be the first derivative of -3*z**5/5 + 7*z**4/20 + 17*z**3/15 - 7*z**2/10 - 2*z/5 + 140. What is t in k(t) = 0? -1, -1/5, 2/3, 1 What is b in -16*b**5 + 6*b**4 - 14*b**2 + 8 + 8*b**5 + 12*b**5 - 2*b**5 - b**3 - b**3 = 0? -2, -1, 1 Let r be 1/10*(1 - 1). Suppose -9*y**2 + 4*y**3 + r*y - 1/2*y**4 + 27/2 = 0. Calculate y. -1, 3 Let m(l) = l**3 + l - 1. Let a(h) = -2*h**3 + 14*h**2 - 4*h - 11. Let w(n) = 5*a(n) + 15*m(n). Factor w(b). 5*(b - 1)*(b + 1)*(b + 14) Let s = 441/2 + -3929/18. Determine w, given that 22/3*w**2 - s*w**3 + 32/9 - 80/9*w + 2/9*w**4 = 0. 1, 4 Let s(f) = -11 + 3 + 1 + 2 + f**2. Let t be s(-3). Factor k**5 + 17*k**2 + 2*k - k + 6*k**3 - 21*k**2 - 4*k**t. k*(k - 1)**4 Let g(w) = 9*w**4 + 24*w**3 - 130*w**2 - 292*w + 1125. Let f(y) = y**4 + y**3 + 2*y. Let c(v) = -4*f(v) + g(v). Solve c(j) = 0. -5, 3 Let g(o) = o**2 - 10*o + 18. Let x be g(8). Solve -2*j + 30*j**x + 0*j**2 - 18*j**2 = 0 for j. 0, 1/6 Let o(j) be the first derivative of 9*j**6/14 - 57*j**5/35 + 3*j**4/14 + 367. Factor o(w). 3*w**3*(w - 2)*(9*w - 1)/7 Suppose -2*i + 4 = -6. Let z be i/1 + -1 + -2. Determine k, given that 3*k**3 - 9*k**2 - 3 + 19 + 0*k**z - 4 = 0. -1, 2 Let h(j) be the third derivative of 0*j**7 + 0*j**4 - 10*j**2 + 0*j**6 + 0*j**5 + 0 + 0*j - 5/336*j**8 + 0*j**3. Factor h(a). -5*a**5 Let n = 3/4693 - -9359/42237. Solve -n*a**5 + 0*a + 0*a**2 + 0*a**3 + 2*a**4 + 0 = 0 for a. 0, 9 Let j(q) be the third derivative of -1/105*q**7 - 1/168*q**8 + 1/30*q**5 + 0*q + 0*q**4 + 1/60*q**6 + 0 + 0*q**3 + 5*q**2. Factor j(c). -2*c**2*(c - 1)*(c + 1)**2 Let d(n) be the third derivative of -n**6/90 + 3*n**5/5 - 27*n**4/2 + 5*n**3/2 - 35*n**2. Let z(r) be the first derivative of d(r). Factor z(w). -4*(w - 9)**2 Suppose s + 4 = p, p + s - 1 = -s. Suppose 4*d = 4*t + 4, -5 = p*t + 2*t. Factor -1/2*v**4 + 0*v + 0*v**2 + d - v**3 + 1/2*v**5. v**3*(v - 2)*(v + 1)/2 Suppose 2*x + 14/3*x**2 + 0 + 10/3*x**3 + 2/3*x**4 = 0. What is x? -3, -1, 0 Suppose 8*j - 26 + 2 = 0. Determine s so that -16*s**3 - s**4 + j*s**4 + 12*s**2 + 33 + 17 + 80*s = 0. -1, 5 Let t(p) be the first derivative of p**4/34 - 20*p**3/51 - 23*p**2/17 - 24*p/17 - 102. Factor t(i). 2*(i - 12)*(i + 1)**2/17 Let a(n) be the first derivative of n**6/210 - n**5/70 + n**4/84 - 16*n + 24. Let z(g) be the first derivative of a(g). Factor z(b). b**2*(b - 1)**2/7 Let p(x) be the first derivative of -x**3/21 - 22*x**2/7 + 92*x/7 - 209. Suppose p(y) = 0. What is y? -46, 2 Suppose 8 = 2*w + 4*z - 4, 4*w = -z + 17. Suppose -w*n + 5*n - 30 = -5*u, 5*n = 5*u. Factor 25/2*m**n + 0 + 0*m**4 + 0*m**2 + 0*m - 2*m**3. m**3*(5*m - 2)*(5*m + 2)/2 Let t(l) be the first derivative of 5*l**4/16 + l**3/3 - 11*l**2/8 + l/2 + 83. Factor t(s). (s - 1)*(s + 2)*(5*s - 1)/4 Let a(q) = 4*q**2 + 2*q + 1. Let h(b) = 4*b - 35. Let o be h(8). Let s(d) = 3*d**2 + 2*d + 1. Let p(w) = o*s(w) + 2*a(w). Solve p(f) = 0 for f. -1 Determine m so that -18/7*m - 12/7*m**2 + 0 - 2/7*m**3 = 0. -3, 0 Suppose 3 = -3*g - 9, y - 5*g = 22. Let k be 136/14 - (-4)/14. Factor -6*i**3 - i - i**2 + k*i**2 - y*i. -3*i*(i - 1)*(2*i - 1) Let y(a) be the second derivative of -a**6/30 - a**5/4 + 7*a**4 - 6*a - 46. Factor y(h). -h**2*(h - 7)*(h + 12) Suppose 1703*p = 1701*p + 10. Let s(a) be the second derivative of 3/2*a**2 - 7/2*a**3 - p*a - 3/4*a**5 + 11/4*a**4 + 0. Factor s(n). -3*(n - 1)**2*(5*n - 1) Let s(m) be the second derivative of -m**6/90 - m**5/15 - m**4/12 + 2*m**3/9 + 2*m**2/3 - 12*m. Factor s(i). -(i - 1)*(i + 1)*(i + 2)**2/3 Let p(g) = 5*g**2 + 3*g + 2. Let w(h) = h**2 + h. Let l(c) = p(c) - 4*w(c). Let x(t) = 3*t**2 - 2*t + 4. Let a(m) = -5*l(m) + 2*x(m). Factor a(d). (d - 1)*(d + 2) Let l = 11 + -47. Let q be 1/4 - l/240. Determine v so that 2/5*v + q*v**2 - 2/5 - 2/5*v**3 = 0. -1, 1 Suppose -4 = 6*a - 814. Let k be -6*6/a*-5. Factor 2/3*x**2 + 0 + k*x. 2*x*(x + 2)/3 Let v(f) be the third derivative of -9*f**2 + 1/300*f**5 + 0 + 0*f**3 - 1/120*f**4 + 0*f. Factor v(k). k*(k - 1)/5 Let v(i) be the first derivative of 3*i**3 - 597*i**2/2 + 198*i + 285. Factor v(p). 3*(p - 66)*(3*p - 1) Let f(k) = k**5 - k**3 - k**2 + k. Let c(d) = 9*d**5 + 5*d**4 - 4*d**3 - 5*d**2 + 5*d. Let t(a) = 4*c(a) - 20*f(a). Find n, given that t(n) = 0. -1, -1/4, 0 Let s(a) be the first derivative of -9*a**5/5 + 3*a**4/4 + 12*a**3 - 6*a**2 + 210. What is x in s(x) = 0? -2, 0, 1/3, 2 Let l(r) be the first derivative of -r**7/126 + r**5/15 - 25*r - 4. Let m(a) be the first derivative of l(a). Factor m(c). -c**3*(c - 2)*(c + 2)/3 Factor -17*w - 289/2 - 1/2*w**2. -(w + 17)**2/2 Suppose -9 = -3*c - f, 5*c = 2*c + 2*f. Factor -2/5*w**c + 4/5*w + 0. -2*w*(w - 2)/5 Let f be 1337/2156 - 2/(-8) - 1. Let h = 4/77 - f. Factor -8/11 - 10/11*x**2 + h*x**3 + 16/11*x. 2*(x - 2)**2*(x - 1)/11 Let b = 90044/7 + -12862. Solve -2/7*a**2 + 12/7 - b*a = 0 for a. -6, 1 Let a(d) be the first derivative of -5/16*d**2 - 3/4*d - 18 + 1/24*d**3. What is z in a(z) = 0? -1, 6 Suppose -y - 3*y - 28 = -3*o, -o - 5*y = 16. Find q, given that 45*q**3 - 3*q**4 + 3*q**4 + o*q**2 - 51*q**3 + 2*q**4 = 0. 0, 1, 2 Let c(k) = k**3 - 85*k**2 + 530*k - 443. Let q(m) = -4*m**3 + 170*m**2 - 1060*m + 887. Let b(u) = 7*c(u) + 3*q(u). Factor b(a). -5*(a - 4)*(a - 1)*(a + 22) Let m(z) be the third derivative of z**7/504 - z**6/8 + 27*z**5/8 - 31*z**4/24 - 15*z**2. Let t(v) be the second derivative of m(v). Solve t(f) = 0 for f. 9 Let z(q) be the first derivative of 0*q - q**2 + 0*q**4 - 1 - 1/90*q**5 + 1/9*q**3. Let y(o) be the second derivative of z(o). Factor y(j). -2*(j - 1)*(j + 1)/3 Let t = -180 + 188. Suppose a + t = -i + 3, 0 = 4*a - i - 5. Factor 0 + a*m - m**3 - 1/2*m**4 - 1/2*m**2. -m**2*(m + 1)**2/2 Let s(w) be the second derivative of w
{ "pile_set_name": "DM Mathematics" }
*p - 100*p. -224*p Collect the terms in -766*r**2 - 2398 + 368*r**2 + 381*r**2. -17*r**2 - 2398 Collect the terms in 634*k - 1026*k + 1077*k. 685*k Collect the terms in 2465*w**3 + 26*w - 1067*w**3 - 905*w**3 - 840*w**3. -347*w**3 + 26*w Collect the terms in 113*o**2 + 1 - 289*o**2 - 1 + 393*o**2 - 211*o**2. 6*o**2 Collect the terms in 15*h**3 + 72539394464*h**2 + h**3 - 72539394464*h**2. 16*h**3 Collect the terms in 312*n**2 + 103858 - 103858. 312*n**2 Collect the terms in -9*h**2 + 36*h**2 + 27*h**2 + 198 - 2*h + 4*h. 54*h**2 + 2*h + 198 Collect the terms in 626660*w - 313456*w - 313218*w. -14*w Collect the terms in 197 + 158 - 5*b + 177 - 662 + 185. -5*b + 55 Collect the terms in 12*n**3 + 10183*n - 10183*n + 82743*n**2 - 82743*n**2. 12*n**3 Collect the terms in -31516401 - 10862*r + 31516401. -10862*r Collect the terms in -3*f**2 + 0*f**2 + 2863466*f**3 + 3*f**2 - 2863473*f**3 + 0*f**2. -7*f**3 Collect the terms in 17*t - 99*t**3 + 3*t**2 - 24*t**2 - 29*t + 12*t. -99*t**3 - 21*t**2 Collect the terms in 4173*f**3 - 2299*f**3 - 2164*f**3. -290*f**3 Collect the terms in -2815*s**2 + 103*s - 103*s - 2788*s**2 + 5606*s**2. 3*s**2 Collect the terms in -12*u - u - 972*u**2 + 2 - 79*u**2. -1051*u**2 - 13*u + 2 Collect the terms in 1595*o + 3316*o + 641*o + 1190*o. 6742*o Collect the terms in -407*q**3 + 547*q**3 + 976*q**3 - 25*q**3 + 715*q**3. 1806*q**3 Collect the terms in 179489*f**3 - 4*f + 4*f - 179495*f**3 + 229. -6*f**3 + 229 Collect the terms in 3759 + 3749 + 2394*z**2 - 7508. 2394*z**2 Collect the terms in 68*o - 2494*o**3 + 13209*o**3 - 68*o. 10715*o**3 Collect the terms in -1 + 213*v - 845*v + 205*v - 10 + 213*v + 213*v. -v - 11 Collect the terms in 22 - 325*f**2 - 18 + 2. -325*f**2 + 6 Collect the terms in 0 - 4 + 9*n**2 - 4 + 2 + 12745*n**3. 12745*n**3 + 9*n**2 - 6 Collect the terms in -30*q**2 - 10*q**3 - 36*q**2 - 62*q**2. -10*q**3 - 128*q**2 Collect the terms in -218*h**2 - 284*h**2 - 6*h - 22*h**2 + 68*h**2 - 6*h + 11*h. -456*h**2 - h Collect the terms in -5802*x**2 - 5901*x**2 + 11422*x**2. -281*x**2 Collect the terms in -1972 + 670 + 649 + 170*i**2 + 653 + 3*i. 170*i**2 + 3*i Collect the terms in -121508*q + 26 - 28 - 9176*q. -130684*q - 2 Collect the terms in -22*g**2 - 19*g**2 - 6*g**3 - 12*g**2 - 15*g**2 - 45*g**2 + 129*g**2 - 13*g**2. -6*g**3 + 3*g**2 Collect the terms in 35484*a - 106443*a + 35477*a - 36*a**2 + 35480*a. -36*a**2 - 2*a Collect the terms in 97*a**3 + 90*a**3 + 2589*a**3 + 335*a**3 + 2779*a**3. 5890*a**3 Collect the terms in -1996*c + 5974*c - 1991*c + 63 - 1994*c. -7*c + 63 Collect the terms in 13 - 19 + 6 + 26494*m + 43168*m. 69662*m Collect the terms in -87773*v**2 - 84110*v**2 - 38427*v**2 + 2900*v**2 - 49726*v**2. -257136*v**2 Collect the terms in -178 - 199 + 12*a + 7*a - 8*a + 496 - 119. 11*a Collect the terms in 16808*a + 16840*a - a**2 - 33619*a. -a**2 + 29*a Collect the terms in 2*m**3 + 1228*m**2 + 1045*m**2 - 12*m**3. -10*m**3 + 2273*m**2 Collect the terms in 49856*k - 72*k**2 + 38*k**2 - 49856*k + 40*k**2. 6*k**2 Collect the terms in 81523 + 40*w**2 + 80810 - 162333. 40*w**2 Collect the terms in 251*u**2 - 293*u**2 + 223*u**2 + 939*u**2 + 310*u**2. 1430*u**2 Collect the terms in -16*v**3 + 14*v**3 + 2743*v**2 - v - 2791*v**2. -2*v**3 - 48*v**2 - v Collect the terms in -2761*r**2 + 5 + 52*r**3 - 9 - 51*r**3. r**3 - 2761*r**2 - 4 Collect the terms in 21*u - 9 - 7612*u - 4095*u - 1611*u. -13297*u - 9 Collect the terms in -18*f**3 - 169533122*f + 169533122*f - 2. -18*f**3 - 2 Collect the terms in 3825750*i**3 + 212 - 212 - 3825752*i**3. -2*i**3 Collect the terms in -15350 + 31440 - 104*t - 15747 + 105*t. t + 343 Collect the terms in 3442*j - 689*j - 687*j - 689*j - 684*j - 11*j**2 - 693*j. -11*j**2 Collect the terms in i + 221749925768 - 221749925768. i Collect the terms in 3023*p**3 + 25*p**2 + 374*p - 375*p - 25*p**2. 3023*p**3 - p Collect the terms in -1852 - 1844 - 1850 + 9241 - 1843 - 1849 + 89*k**3. 89*k**3 + 3 Collect the terms in -389 - 23*k**2 + 93 + 109 + 6*k**2 + 94 + 93. -17*k**2 Collect the terms in 3*y - 3*y - 39040 - 182*y**2 + 184*y**2. 2*y**2 - 39040 Collect the terms in 7726399*s**3 - 1 - 7726482*s**3 - 53825*s**2 + 53825*s**2. -83*s**3 - 1 Collect the terms in -31 + 62 - 31 - 110781*v. -110781*v Collect the terms in 135*t**2 - 37*t**2 + 149*t**2 + 303*t**2 + 250*t**2 - 76*t**2. 724*t**2 Collect the terms in 5604*q**2 - 2787*q**2 + 21*q - 21*q - 2814*q**2. 3*q**2 Collect the terms in 2*d + 411363 - 205668 - 205704. 2*d - 9 Collect the terms in 122 + 3526*l - 122 + 1775*l. 5301*l Collect the terms in -2703529*c**3 + 10814095*c**3 - 2703519*c**3 - 2703530*c**3 - 2703519*c**3. -2*c**3 Collect the terms in 3*u**3 + 13 - 4 - 6746*u**2 - 1. 3*u**3 - 6746*u**2 + 8 Collect the terms in 30*r + 72*r + 38*r - 104*r - 11*r**2 - 36*r. -11*r**2 Collect the terms in 4500*u + 3939*u + 919 - 919. 8439*u Collect the terms in -138654*x - 26 - x**2 + 138654*x - 2*x**2 - 53 + 4*x**2. x**2 - 79 Collect the terms in -167*z**3 + 48*z**3 + 53*z**3 - 2 - 16*z + 58*z**3 + 16*z. -8*z**3 - 2 Collect the terms in -67*f**2 - 1775*f**2 + 1920*f**2 - 75*f**2. 3*f**2 Collect the terms in -117034723136 - 21*m**2 + m**2 + 117034723136 - 7*m**2. -27*m**2 Collect the terms in -83*b + 10420 + 2748 + 85*b. 2*b + 13168 Collect the terms in -187*q**2 - 14*q**2 + 691*q + 4*q**2 - 82*q**2 - 812*q. -279*q**2 - 121*q Collect the terms in 159*q + 77*q - 3602223 + 3602225. 236*q + 2 Collect the terms in 469172*l + 7*l**2 - 156379*l - 156414*l - 156379*l. 7*l**2 Collect the terms in 7701 - 23943 + 7696 + 64*c + 8546. 64*c Collect the terms in -90*v**2 + 83*v**2 + 83*v**2 + 28*v - 77*v**2. -v**2 + 28*v Collect the terms in 53*g**2 - 121*g**2 - 2160*g**3 + 6*g**2. -2160*g**3 - 62*g**2 Collect the terms in 7814*n**3 + 10*n - 2609*n**3 - 6*n - 2606*n**3 - 2601*n**3. -2*n**3 + 4*n Collect the terms in -148*b - 2268*b**2 - 2226*b**2 + 74*b + 6749*b**2 - 2254*b**2 + 74*b. b**2 Collect the terms in 1169854641 - 75*a - 1169854641. -75*a Collect the terms in -738*f + 19 - 8 - 11 + 1036*f - 297*f. f Collect the terms in -255519*j**2 - 32279*j**2 - 2572*j**2. -290370*j**2 Collect the terms in 39148*u - 16 - 79049*u + 39900*u. -u - 16 Collect the terms in -15*i - 436*i**2 - 832*i**2 + i + 82*i**2. -1186*i**2 - 14*i Collect the terms in 83214 + 5806*c + 83203 - 166417. 5806*c Collect the terms in -321 + 714933*c - 714933*c + 8*c**3 - 9*c**3 + 321. -c**3 Collect the terms in 11 - 12 - 12*t + 20 - 24*t**3 + 7*t. -24*t**3 - 5*t + 19 Collect the terms in -56970*x - 57068*x + 114016*x. -22*x Collect the terms in 30271*q + 12174 - 12174. 30271*q Collect the terms in -25*f - 790*f**3 + 6*f**2 - 12*f**2 + 6*f**2 + 380*f**3 + 411*f**3. f**3 - 25*f Collect the terms in 8*i**3 - 34*i**3 + 793*i**2 + 184*i**3 - 397*i**2 - 396*i**2. 158*i**3 Collect the terms in -3163*n**3 - 64671*n**3 + 39709*n**3 - 80926*n**3. -109051*n**3 Collect the terms in 54*t + 552 - 71*t - 376. -17*t + 176 Collect the terms in -8 - 6 - 82*k**2 + 24 + 9 - 5. -82*k**2 + 14 Collect the terms in -381*y**2 - 379*y**2 - 330*y**2 + 1471*y**2 + 6 - 6 - 379*y**2. 2*y**2 Collect the terms in -3*o - 6 - 37*o + 30 - 7 - 17 + 0. -40*o Collect the terms in 209*u**2 - 126394488 + 126394488. 209*u**2 Collect the terms in 182*i - 8*i + 201*i + 130*i - 99*i. 406*i Collect the terms in 41425*t**3 - 124267*t**3 - 8*t**2 + 41425*t**3 + 41419*t**3 + 23*t**2. 2*t**3 + 15*t**2 Collect the terms in -38*k + 13*k + 57*k + 70*k + 8*k + 5*k**3. 5*k**3 + 110*k Collect the terms in -9165 + 60693*a + 9165. 60693*a Collect the terms in -355 - 23*l - 362 - 365 - 372 + 1454. -23*l Collect the terms in 28*y - 18 + 80*y + 30*y - 13*y. 125*y - 18 Collect the terms in -9*w - 5*w + 16 + 0 - 2*w + 5*w. -11*w + 16 Collect the terms in -74662348843290 + 2*a**3 + 74662348843290. 2*a**3 Collect the terms in -1414 - 4*j - 1416 + 4339 - 1509. -4*j Collect the terms in 3059*j**2 - 3 + 3271*j**2 - 24*j - 6041*j**2. 289*j**2 - 24*j - 3 Collect the terms in 148*p + 528*p + 55*p**2 - 54*p**2. p**2 + 676*p Collect the terms in 2525*o - 261*o - 26923*o - 12606*o. -37265*o Collect the terms in 1 - 155287*p**3 - 155282*p**3 + 310566*p**3. -3*p**3 + 1 Collect the terms in -17*v**3 - 102*v**3 - 15*v**3 - 10*v**3 - 31*v**3 + 184*v**3 -
{ "pile_set_name": "DM Mathematics" }
ltiple of 7302 and 1764? 2146788 Find the common denominator of -101/14 and 57/5610220. 5610220 Calculate the least common multiple of 9304 and 896. 1042048 Calculate the smallest common multiple of 3512 and 792. 347688 What is the smallest common multiple of 7115614 and 4? 14231228 Calculate the smallest common multiple of 1177392 and 6384. 8241744 Calculate the smallest common multiple of 8400 and 112. 8400 Find the common denominator of 21/17050 and -7/1485. 460350 Find the common denominator of -11/29160 and 1/2430. 29160 Calculate the common denominator of 103/79596 and -93/10. 397980 What is the common denominator of -87/310 and 47/337900? 337900 Calculate the common denominator of -71/720 and 103/1278. 51120 What is the lowest common multiple of 5184 and 15? 25920 Calculate the common denominator of -16/218601 and 20/963. 218601 Find the common denominator of -119/142330 and -109/13240. 569320 Calculate the least common multiple of 350 and 609. 30450 What is the common denominator of 137/1458 and -109/810? 7290 What is the common denominator of -61/38 and 77/158? 3002 What is the common denominator of -20/11271 and 23/2601? 33813 What is the common denominator of 19/83853 and 31/55902? 167706 What is the least common multiple of 4368 and 84? 4368 Calculate the lowest common multiple of 307074 and 12. 614148 Calculate the least common multiple of 5 and 36282. 181410 Find the common denominator of -38/35 and 73/7185. 50295 Calculate the common denominator of -79/36098 and 9/11. 397078 What is the common denominator of 19/22410 and 71/1494? 22410 What is the lowest common multiple of 517 and 47517? 522687 Calculate the common denominator of 83/56 and -79/1044309. 8354472 What is the common denominator of 41/8818 and 31/968? 4267912 Calculate the lowest common multiple of 105 and 5719. 85785 Calculate the lowest common multiple of 256902 and 282. 256902 What is the common denominator of 17/122844 and 47/46596? 1351284 What is the common denominator of -143/38990 and -9/3899? 38990 Find the common denominator of -47/6 and 52/150537. 301074 Find the common denominator of 53/10664 and 75/1204. 74648 Calculate the least common multiple of 7770 and 861. 318570 What is the common denominator of -145/197088 and 151/184770? 2956320 Calculate the least common multiple of 379512 and 162648. 1138536 What is the common denominator of -61/26180 and -48/2635? 811580 Calculate the common denominator of 35/4422 and 73/17688. 17688 Calculate the common denominator of -31/791 and -87/11074. 11074 Calculate the common denominator of 13/35660 and -62/326289. 6525780 Calculate the smallest common multiple of 2031998 and 4. 4063996 Find the common denominator of -93/8 and -35/39166. 156664 What is the smallest common multiple of 12 and 30094? 180564 Calculate the lowest common multiple of 3465 and 315. 3465 What is the common denominator of 26/710809 and 101/516952? 5686472 What is the least common multiple of 84 and 38472? 38472 Calculate the lowest common multiple of 96200 and 60. 288600 What is the least common multiple of 525 and 86835? 434175 Calculate the lowest common multiple of 68900 and 13000. 689000 Find the common denominator of 62/54315 and -79/9945. 706095 Calculate the smallest common multiple of 199485 and 66495. 199485 Calculate the common denominator of -73/300 and 151/31200. 31200 Find the common denominator of 101/566494 and 10/100507. 6231434 Calculate the common denominator of -115/12 and -19/98184. 98184 Find the common denominator of 29/27272 and 85/14. 27272 What is the common denominator of -121/876024 and 103/292008? 876024 What is the common denominator of -26/33001 and 1/3294? 1782054 What is the smallest common multiple of 294 and 7147? 300174 Find the common denominator of 17/308 and -65/36102. 505428 What is the lowest common multiple of 345 and 3575? 246675 Calculate the common denominator of 58/12903 and -101/2618. 180642 Calculate the smallest common multiple of 1247 and 2987. 128441 Find the common denominator of 91/1374 and 55/258. 59082 What is the common denominator of -11/14437 and 36/11? 158807 Calculate the least common multiple of 40638 and 84. 568932 Calculate the lowest common multiple of 27373 and 93. 82119 What is the common denominator of -51/3091 and 25/36249? 398739 What is the common denominator of -167/504 and -155/1344? 4032 Calculate the common denominator of -72/14875 and -27/23800. 119000 Calculate the smallest common multiple of 198 and 4077. 89694 Calculate the least common multiple of 63623 and 11026. 4708102 What is the smallest common multiple of 3858 and 10288? 30864 Calculate the lowest common multiple of 9870 and 900. 296100 What is the common denominator of -101/41504 and 39/146? 3029792 What is the lowest common multiple of 1062 and 99? 11682 Calculate the common denominator of -41/18 and -97/40258. 362322 Calculate the common denominator of 10/2275069 and 73/3018. 13650414 Find the common denominator of -11/52 and 97/68848. 68848 Calculate the least common multiple of 86366 and 2. 86366 Calculate the common denominator of -139/1938 and 19/2292. 740316 Find the common denominator of 40/897 and 79/1311. 17043 Calculate the common denominator of -41/519435 and 163/148410. 1038870 Find the common denominator of -109/15270 and -17/20360. 61080 Calculate the smallest common multiple of 90220 and 15. 270660 Calculate the common denominator of 103/2800 and -71/1750. 14000 What is the lowest common multiple of 38 and 935275? 1870550 Calculate the common denominator of 109/1200 and -53/6690. 267600 What is the lowest common multiple of 12546 and 714? 87822 Find the common denominator of 9/2810 and 37/16970. 4768570 What is the lowest common multiple of 10944 and 1254? 120384 What is the smallest common multiple of 6 and 257066? 771198 What is the lowest common multiple of 14355 and 3159695? 28437255 What is the least common multiple of 468 and 4221? 219492 What is the smallest common multiple of 548 and 1538? 421412 Calculate the lowest common multiple of 312 and 3390. 176280 Calculate the lowest common multiple of 41472 and 13824. 41472 What is the common denominator of -125/39624 and 87/16510? 198120 Find the common denominator of -99/62 and 77/1010232. 31317192 Calculate the least common multiple of 363 and 51711. 568821 What is the lowest common multiple of 2396 and 16772? 16772 What is the common denominator of -27/7735 and -37/275? 425425 Calculate the common denominator of 81/8 and 67/48362. 193448 Calculate the common denominator of 169/487998 and -23/46476. 975996 Calculate the lowest common multiple of 65 and 3822. 19110 Calculate the common denominator of -71/2 and -149/1969182. 1969182 What is the smallest common multiple of 21416 and 2420008? 2420008 What is the lowest common multiple of 98 and 22883? 45766 What is the least common multiple of 216 and 19467? 155736 Calculate the smallest common multiple of 13496 and 2169. 121464 Calculate the lowest common multiple of 10 and 68026. 340130 Calculate the lowest common multiple of 10659 and 88. 85272 Find the common denominator of 67/11764 and -14/459. 317628 Calculate the common denominator of -69/39004 and 19/77. 429044 What is the least common multiple of 11 and 145348? 1598828 What is the least common multiple of 16 and 3915816? 7831632 Calculate the common denominator of 79/117502 and 145/64092. 705012 Calculate the common denominator of 101/2794 and 101/10912. 1385824 What is the common denominator of 37/2 and 34/145825? 291650 Calculate the common denominator of -89/4 and 11/11291838. 22583676 What is the least common multiple of 29806 and 56? 119224 What is the lowest common multiple of 141 and 101? 14241 Calculate the common denominator of 45/392 and 179/10878. 43512 Calculate the common denominator of -33/1984 and 35/64. 1984 What is the lowest common multiple of 91280 and 40? 91280 What is the lowest common multiple of 1507 and 21646? 238106 What is the common denominator of 45/15946 and -32/335? 79730 What is the common denominator of 43/3290 and -1/658? 3290 What is the common denominator of -32/245 and 79/2610? 127890 Calculate the least common multiple of 26 and 1378. 1378 What is the common denominator of 53/12028 and 85/388?
{ "pile_set_name": "DM Mathematics" }
Let m = -10640.8859953 - o. Let s = -0.086 - m. What is s rounded to 6 dps? -0.000005 Let g = -402116 - -206049. Let t = 196067.1699784 + g. Let f = 0.17 - t. Round f to six dps. 0.000022 Let v = -86403 - -88177.44. Round v to the nearest ten. 1770 Let a = 0.78 - 2.61. Let i = 1.82999864 + a. Round i to seven decimal places. -0.0000014 Let l = -373.6 - -373.5999987087. Round l to six dps. -0.000001 Let i be -5 - 486/(-72) - 290033/(-4). What is i rounded to the nearest one thousand? 73000 Let d = 426080760024900.5999983 - 426080829393120. Let w = d - -69368265.4. Let q = w + -46. Round q to 6 dps. -0.000002 Let l = 66553 - 120161. What is l rounded to the nearest one thousand? -54000 Let x be (-39)/(-26) + 1 + 135/6. Let u be (-1)/(-10)*x/2*4. Suppose u*f - 1732 = -4*y, 212 = 2*y + 3*f - 656. What is y rounded to the nearest 100? 400 Let i be (-6)/27 + 4920/27. Suppose i*m = 180*m - 35600. What is m rounded to the nearest one thousand? -18000 Let w = -305.8 - -305.800001108. What is w rounded to six dps? 0.000001 Let z = -3561 - -3561.000851. What is z rounded to five dps? 0.00085 Let s = -184.83 + 184.8298796. What is s rounded to 4 dps? -0.0001 Suppose -23*q - 4 = -24*q, 3*y - 1429 = 2*q. Suppose 2*b - 7*b - 2*w + y = 0, -b = -3*w - 106. What is b rounded to the nearest one hundred? 100 Suppose -4*b - 3*t = -98784000, 0 = -45*b + 45*b + 2*t. What is b rounded to the nearest one million? 25000000 Let x = 19970 + -37756. Round x to the nearest 100. -17800 Let f = 28696.000013993 - 28696. Round f to six decimal places. 0.000014 Let x = -0.23165356 - -0.23152. Round x to 4 dps. -0.0001 Suppose 3*h + 3*q + 110349 = 0, -h - 10*q - 36774 = -12*q. Round h to the nearest 10000. -40000 Let b(f) = 9322*f - 5989*f + 10177*f + 10. Let a be b(-1). Round a to the nearest ten thousand. -10000 Suppose g + 5530500 = 10*g - 0*g. Round g to the nearest 100000. 600000 Let s = 5016180 + -2024770. Let u = -5505410 + s. Round u to the nearest one hundred thousand. -2500000 Suppose 0 = -3*a + 5*b + 774630, -5*a + 1291018 = -5*b + 2*b. Round a to the nearest one hundred thousand. 300000 Let j = -27433 - -28222.6. What is j rounded to the nearest one hundred? 800 Let v = -137290 + 137289.880782. Round v to two dps. -0.12 Let c = -0.02684 - -0.02682851. Round c to 7 decimal places. -0.0000115 Let w = 98781.793005 + -98782. Let m = w - -0.207. Round m to 6 dps. 0.000005 Let z = 427687 + -1236887. Round z to the nearest ten thousand. -810000 Let j = 26.6499994903 - 26.65. What is j rounded to seven dps? -0.0000005 Let k = -35 + -23. Let f = -47 - k. Let a = f + -11.0437. What is a rounded to three decimal places? -0.044 Suppose -3*u = 7*u - 300. Suppose -u*q + 23*q - 301000000 = 0. What is q rounded to the nearest 1000000? -43000000 Suppose 9*p = -43404072 + 273550263. Suppose 0 = -32*q + p + 10908201. What is q rounded to the nearest 1000000? 1000000 Let j be (190050/8)/7*(-25)/((-300)/38208). Round j to the nearest 100000. 10800000 Let j = -0.11964 + 0.109768. Round j to 4 dps. -0.0099 Let f = 5013.4787 - 1.8787. What is f rounded to the nearest ten? 5010 Let q = -45497 - -112550. Let t = q - 25753. Let p be t/(3*5/4500). Round p to the nearest one million. 12000000 Let x = 1993 - 1984.4. Let c = 7.217 - 0.017. Let j = x - c. Round j to zero dps. 1 Let n = -5235973.51 - -5236075.75137496. Let u = 0.24226496 - n. Let k = 102 + u. What is k rounded to four decimal places? 0.0009 Let b(j) = 24*j + 2. Let q be b(1). Suppose 1 - 5 = -v, 3*w + 2*v = q. Suppose w*z = 8*z - 1160000. Round z to the nearest one hundred thousand. 600000 Let r be ((4/6)/((-6)/9) + 2)*-1016777. Suppose -1816115 = -6*j + j. Let w = j - r. Round w to the nearest one hundred thousand. 1400000 Let s = 1260 + -1018. Let q = s + -244.829. What is q rounded to 1 dp? -2.8 Let p(j) = -1425*j**2 - 53*j - 14. Let r be p(7). Round r to the nearest 10000. -70000 Let n = 0.75714 + -1.20293. Let q = 0.88757 + n. Let s = 0.44 - q. What is s rounded to 4 dps? -0.0018 Let o = -176 - -167. Let f be ((-3000)/(-9))/(3*o/614790). Round f to the nearest 1000000. -8000000 Let p = 36851224 + -66738224. What is p rounded to the nearest one hundred thousand? -29900000 Let a = -365.698 - -263.49. Let f = a + 0.308. What is f rounded to the nearest 10? -100 Let h = 1.53 + -0.977. Let i = h + -1.09. What is i rounded to one decimal place? -0.5 Let d = 2437 + -2434.933. Let f = d - 0.067. Let h = -2.14 + f. What is h rounded to one decimal place? -0.1 Let v = 30764.346 - 31108.35462. Let o = 344 + v. What is o rounded to three dps? -0.009 Let o = 8.99995149 - 9. Round o to 5 decimal places. -0.00005 Suppose -15520975 = -3*q + 2*c - 4306689, 7476235 = 2*q + 5*c. Round q to the nearest one hundred thousand. 3700000 Let b = 14509.135 + -14578. Let g = -0.135 + b. Let l = g - -68.99999983. What is l rounded to six dps? 0 Let o = -1250760 - -303398. Let b = -947383.999584 - o. Let i = -22 - b. What is i rounded to five dps? -0.00042 Let f = 990168747814 + -990168549198.01199912. Let v = 198616 - f. Let x = -0.012 + v. Round x to 7 decimal places. -0.0000009 Let k(b) = -49*b - 57. Let p be k(-1). Let s be 566402/p + 20/16 + -1. What is s rounded to the nearest ten thousand? -70000 Let t = -86 + 97. Let q = t + -22.5. Let u = q - -6.8. What is u rounded to 0 decimal places? -5 Let f(x) = x**2 - 5*x - 4. Let o be f(6). Let g(p) = -11*p - 21*p - p**3 - 38 + 26*p**o + 6*p. Let s be g(24). What is s rounded to the nearest 100? 500 Let u = -2764.8441 - -2765. Let g = -1.2061 - u. Round g to one dp. -1.4 Let b = -0.122862 + 0.10883. What is b rounded to two dps? -0.01 Let f = 0.918 + -0.86. Let p = -8.458 + f. Let w = p - -8.4105. Round w to three dps. 0.011 Let u be (-44)/(-5) - (-16)/80. Let s be -2*9/u*(-2)/2. Suppose 2 = s*y, 8*j - 10*j + 40001 = y. What is j rounded to the nearest ten thousand? 20000 Let g = 5447228.0343 + -5446648. Let l = 580 - g. Round l to two dps. -0.03 Suppose 0 = 4*z - 401 + 81. Let x = z + -83. Let d be 10901 + (1 - -1) + x. What is d rounded to the nearest one thousand? 11000 Let s = 48 - 79. Let z = -25 + s. Let q = 55.999987 + z. Round q to 5 decimal places. -0.00001 Let l = -377118208 + 377289806.979. Let p = -171709 + l. Let z = 110 + p. Round z to 2 decimal places. -0.02 Let s = -47 + 19. Let i = 11 - s. Let h = -39.000066 + i. What is h rounded to five decimal places? -0.00007 Let s = -0.245 + 9.195. Let z = -5.7 + s. Round z to 0 decimal places. 3 Let a = -239.548314 - -239.55. What is a rounded to 3 dps? 0.002 Let w be (-2)/(-4) + 6/12. Let b be w/(5/260*4). Let a(z) = 1790*z**3 - 16*z**2 + 5*z + 9. Let s be a(b). What is s rounded to the nearest 1000000? 4000000 Let k = -0.3725 + 0.34519. Let c = -750.97 - -751. Let u = k + c. Round u to four decimal places. 0.0027 Suppose 6*v + 22*v + 26*v = -15337620. Round v to the nearest 1000. -284000 Let r(d) = -d**2 - 82*d + 912. Let q be r(10). Let s(i) = -32748*i + 2 + 7 + 7. Let x be s(q). Round x to the nearest 10000. 260000 Let w = 521 - 521.7. Let g = 517.37 - 518.07018. Let i = g - w. Round i to 4 decimal places. -0.0002 Suppose -554*x - 14605045 - 12184179 = 0. What is x rounded to the nearest 1000? -48000 Let l = 1122.90006143 - 1122.9. Round l to 4 dps. 0.0001 Let h = -0.36 - -16.36. Let x = 2514317738 - 2514317754.000000585. Let z = x + h. Round z to seven dps. -0.0000006 Let i be (-5*(-66)/(-495))/((-3)/3320370). What is i rounded to the nearest 100000? 700000 Let v be (29 - 24 - 1166511) + (-1)/((-1)/6). What is v rounded to the nearest 10000? -1170000 Let t = 13.21605 + -13.25. Let k = t - -0.0302. What is k rounded to 4 dps? -0.0038 Let r = 6348 + -6347.89475. Round r to two dps. 0.11 Let y = 18 + -18.058. Let v = 204 - 203.918. Let s = y - v. Round s to one decimal place. -0.1 Let y = -2.565 - -1.003. What is y rounded to zero dps? -2 Let w(u) = 2905*u**2 - 8*u + 52. Let j be w(4). What is j rounded to the nearest 10000? 50000 Let z = 1001.887 - -111.043. Round z to the nearest 100. 1100 Let i = -4298.9997571 - -4299. What is i rounded to 6 dps? 0.000243 Let x = -0.4124722277617 - -35896446.4182822277617. Let m = 35895994 - x. Let q = 452 + m. What is q rounded to 4 decimal places? -0.0058 Let q(c) = 7*c + 106. Let u be q(-15). Let p(n) = 3
{ "pile_set_name": "DM Mathematics" }
-8*g + 9*g + 31 = o, 193 = 6*o + g. What is the highest common factor of o and x? 2 Let j be ((-9581)/(-21))/13 - 6/63. Let b be ((-8)/(-10))/(3/j)*9. What is the greatest common divisor of 126 and b? 42 Suppose 165 = 2*j + 3*z, -5*j - 9*z + 12*z = -402. Let u = -602 - -1655. Calculate the greatest common divisor of j and u. 81 Suppose 107*s - 167*s = -1260. Calculate the highest common factor of 413 and s. 7 Suppose 5*t + 4*g - 701 + 629 = 0, 4*g - 56 = -4*t. Calculate the highest common divisor of 3728 and t. 16 Let y be (1 + 0)*6*(-15)/(-6). Let u be y/(-30) + 38/(-4)*-3. What is the highest common factor of 10 and u? 2 Suppose 7*g + 24064 = 23*g. Calculate the greatest common factor of g and 64. 32 Let x = 6722 - 5570. Calculate the highest common divisor of 108 and x. 36 Suppose 0 = 13*h - 17*h + 10*s + 350, 420 = 4*h + 4*s. What is the greatest common divisor of h and 740? 20 Let o(l) = 32*l + 1601. Let m be o(-49). Let x(i) = -i**2 + i + 132. Let n be x(0). What is the greatest common factor of m and n? 33 Suppose -137*o = -134*o - 4*u - 15, -4*u = -12. Calculate the greatest common divisor of 3087 and o. 9 Suppose 667*y + 247 = 686*y. Suppose -2*m = 4*a - 434, 657 = 3*m + 5*a - 2*a. Calculate the greatest common factor of y and m. 13 Suppose -2*o - 706 = -3*p, 3*o - 4*o - 353 = -4*p. Let k = -350 - o. What is the greatest common factor of k and 3? 3 Suppose 22*i = 4557 - 1037. Calculate the greatest common factor of 240 and i. 80 Let k be 27/(-18) + 2/((-4)/(-467)). Calculate the highest common divisor of 13688 and k. 232 Suppose -7*m = -10*m + 234. Suppose 0 = -3*f - 113 + 434. Let y = f - 55. What is the highest common divisor of y and m? 26 Let y = -121 + 124. Suppose -892 = -y*n + 242. What is the greatest common divisor of n and 42? 42 Suppose 104*v = 100*v + 252. Suppose -35*x + v*x - 30660 = 0. What is the greatest common divisor of x and 15? 15 Let b(j) = -j**2 + 138*j + 498. Let g be b(0). What is the greatest common divisor of g and 13197? 249 Let g(w) = -w**2 + 6*w - 1. Let l be g(4). Let i = -248 + 431. Suppose 0 = -9*b - i + 750. Calculate the greatest common divisor of l and b. 7 Let m be (102/9)/(14 + 263780/(-18843)). Calculate the greatest common divisor of m and 17. 17 Let i = -9178 - -9190. What is the highest common factor of i and 2994? 6 Suppose -5*p - 23 = 37. Let y be (1 + 3)*(-3)/p + 39. Suppose 109 + 191 = 5*g. What is the greatest common divisor of y and g? 20 Let v be (2/3)/((-6)/(-36)). Suppose -3*p - v + 16 = 0. Suppose 0*w + p*w - 768 = 0. Calculate the highest common factor of 24 and w. 24 Let q be 0 + 4401 + -1 + 8 + 3 + -10. What is the highest common factor of q and 326? 163 Let h = 82 + -63. Suppose 4*t + 380 = 2*t. Let w = t + 323. What is the greatest common factor of w and h? 19 Suppose 346*o - 668 = 342*o - 220. Calculate the greatest common divisor of 28 and o. 28 Suppose -24*q + 19*q = 5*b - 585, -2*q - 246 = -2*b. Calculate the greatest common divisor of 6760 and b. 40 Let m = -2016 + 2512. What is the highest common divisor of m and 62? 62 Let v = -186 - 8. Let m = -153 - v. Calculate the greatest common factor of 82 and m. 41 Let h = 164 - 148. Let j be 9/4 + (108/h)/9. What is the greatest common factor of j and 9? 3 Suppose 39 = 2*t + 11. Let o be (t/(-4) - -2)*(-30 + 4). Suppose -42*i + 126 = -o*i. What is the greatest common divisor of 462 and i? 42 Let q be (114/19 - 25) + 73. What is the greatest common factor of q and 38286? 54 Let l be (3 - -839) + (-48 - -49). What is the greatest common factor of 6 and l? 3 Suppose -38701 = -13*r + 55492 + 4932. What is the greatest common factor of 250 and r? 125 Let y be -3 + (-101)/(-4) - 3/12. Let z be 590/y + 2 + (-20)/11. Suppose -14*g + z = -5*g. What is the highest common divisor of 27 and g? 3 Suppose -2*h = 3*z + 3, 9*z - 5*z - 4 = -4*h. What is the highest common factor of 180 and h? 6 Let q(j) = -j**3 - 13*j**2 - 13*j - 9. Let i be q(-12). Suppose -177*b + 5787 + 43996 - 2524 = 0. Calculate the greatest common factor of b and i. 3 Let n(h) = -12*h - 1304. Let w be n(-110). Suppose -5*p + 0*p = -880. Calculate the highest common divisor of p and w. 16 Let o be ((-30)/25)/((-6)/(-15)). Let m be (o - (-16)/2) + 2. Let s = 15 + m. Calculate the greatest common divisor of s and 33. 11 Suppose 903 = -136*f + 32 + 12703. Let p = -1350 - -2307. Calculate the highest common divisor of p and f. 87 Let u = 1003 + -919. What is the greatest common divisor of 324 and u? 12 Let s(r) = -r**3 - 44*r**2 + 36*r - 136. Let t be s(-45). What is the highest common divisor of 1 and t? 1 Let p = -23 - -989. Suppose f = 3*r + 3*f - p, -2*r = -5*f - 663. Suppose 9*q - r = 6*q. What is the highest common divisor of 36 and q? 36 Let h be 10*19/2660 + 4199/14. Calculate the highest common factor of h and 36. 12 Let n be (66/18 + 4)/((-4)/(-12)). Let d = n + 406. Calculate the highest common factor of 33 and d. 33 Let n be ((-2)/((-12)/18) - -6) + 332. Let o(s) = -s**3 - 5*s**2 + s - 8. Let f be o(-6). What is the highest common divisor of f and n? 11 Let p be (-1 + (-15)/(-21))/((-14)/294). Let o be 14*(14 - p - 3). What is the highest common factor of 175 and o? 35 Let j be (-1 - (-12)/(-4)) + 16. Let r be (234/10)/((-264)/(-1760)). What is the greatest common factor of r and j? 12 Let j(d) = -16*d - 92. Suppose -2*u = -3*t - 24, -2*u - 32 = 4*t - 4*u. Let a be j(t). Calculate the greatest common factor of a and 4. 4 Let l be 3 - (3 + 4)*-7. Let y be (-109)/(-3)*105/49 - (-6)/42. Calculate the greatest common factor of l and y. 26 Let f be -3*(-3 + -2 - -6). Let j be (-4011)/(-9) - (-2)/f. Calculate the highest common divisor of j and 89. 89 Let o be (-2)/(-4)*(4 + -11 + 3). Let y be -1 - (0 - (o - -5)). Calculate the greatest common divisor of y and 32. 2 Let y be ((-6)/(-15))/(51/(-85))*-39. What is the highest common divisor of y and 58318? 26 Let a(g) = g**3 - 19*g**2 - 18*g - 32. Suppose 5*t + h - 84 = 18, -2*h - 56 = -3*t. Let n be a(t). What is the greatest common factor of 568 and n? 8 Suppose 37863*x = 37911*x - 1248. Let p be 4 + 0 - (-2 - -4). What is the greatest common divisor of p and x? 2 Let k = -158 - -384. Let t = -160 + k. Calculate the highest common divisor of t and 297. 33 Suppose 4*i - 5986 = 5*q, -5*q = -i - 8*q + 1488. Let c be 1 - ((-23)/414*246)/((-1)/(-6)). What is the greatest common divisor of c and i? 83 Let z(s) = -7*s**3 + 2*s**2 - 2*s - 4. Let r be z(-3). Suppose -95*o + 97*o = 22. What is the highest common factor of r and o? 11 Suppose 62*s - 8*s + 25*s = 976440. What is the greatest common factor of s and 120? 120 Let r(l) = l**3 + 27*l**2 + 27*l + 22. Let g be r(-26). Let t be g - (-1)/((-7)/(-154)). What is the highest common factor of t and 144? 18 Let h(m) = 4*m**2 + 37*m - 41. Let v be h(17). What is the greatest common factor of v and 32? 16 Suppose -x - 30 = -74. Suppose 3*p - 5*u - x = -p, 0 = -3*u - 12. Suppose -4*n + 0*n = -16. What is the highest common divisor of p and n? 2 Suppose 26*i - 174039 = 56711. What is the greatest common divisor of 125 and i? 125 Suppose -13*b - 17*b + 1029 = -9*b. Calculate the highest common divisor of 49 and b. 49 Suppose 0 = 16*t - 50 - 46. Suppose -2*q - l + 97 = 0, 3*q + l = 185 - 37. What is the highest common factor of q and t? 3 Let a be (12/(-8))/(25624/(-3200) - -8). What is the greatest common divisor of a and 184? 8 Suppose -3*b - 10 = 2. Let d be 3/4 - (-25)/20. Let y be 3 + b + 57 - d. What is the highest common divisor of 18 and y? 18 Let x(k) = k**3 + 24*k**2 - 4*k - 31. Let l be x(-24). What is the highest common factor of 8125 and l? 65 Suppose -24*k + 493 + 96 = 85. Calculate the highest common factor of k and 2191. 7 Let k be 9450/36*(-180)/(-21). What is the greatest common divisor of k and 90? 90 Let i be (-428)/(-15) + (-7)/35 - (-18)/27. Let b = -81 + 146. Let l = b - i. Calculate the greatest common divisor of 12 and l. 12 Let h(k) = -k**2 - 12*k - 9. Let x(a) = -11*a**2 + 3*a - 3. Let l be x(1). Let s be h(l). Let u = s - -33. Calculate the greatest common divisor of 175 and u. 35 Let n(x) = 16*x**2 + 3*x + 2. Suppose d = 5*o + 4, -2*d - 4 = 5*o + 3. Let q be n(d). What is the highest common factor of 45 and q? 15 Let b be (-7)/42 + (-997)/(-6). Suppose 2
{ "pile_set_name": "DM Mathematics" }
**2. Let m(a) = -a. Determine f(m(h)). -70*h**2 Let j(l) = l. Let p = -8 - -7. Let c(s) = -s. Let d(n) = p*c(n) - 4*j(n). Let w(b) be the second derivative of -b**3/3 + 2*b + 17. Determine w(d(t)). 6*t Let v(x) = -11*x**2 - 11. Let b(f) be the second derivative of f**4/12 + f**2 - 8*f + 10. Let j(n) = -6*b(n) - v(n). Let z(o) = 6*o**2. Calculate j(z(t)). 180*t**4 - 1 Let a(j) = -3013*j + 64. Let z(s) = -9*s. Give z(a(y)). 27117*y - 576 Let t(j) = 5*j - 7. Let o(d) be the third derivative of d**4/6 - d**3 + 6*d**2 - 4. Let x(c) = -7*o(c) + 6*t(c). Let r(a) = -6*a**2 - 4*a. Give r(x(q)). -24*q**2 - 8*q Let l(o) = -3226*o - 3. Let f(t) = -329*t. Determine f(l(n)). 1061354*n + 987 Let u(l) = -426*l**2. Let x(k) = 20 + 212*k**2 + 208*k**2 - 416*k**2 - 20. Calculate u(x(h)). -6816*h**4 Let n(m) be the third derivative of -425*m**4/24 + m**3/6 - m**2 - 523. Let y(p) = -2*p**2. Calculate y(n(v)). -361250*v**2 + 1700*v - 2 Let d = -102 - -103. Suppose -2*o = -3*u - 4, 0*u - 2*u + o = d. Let r(h) = -1891 - 21*h**u + 1891. Let l(v) = v**2. Determine l(r(n)). 441*n**4 Let s(q) = -q - 149. Let k(w) = 6719*w**2 + 3*w - 3. What is s(k(f))? -6719*f**2 - 3*f - 146 Let h(t) = 14*t. Suppose 3*s + a = -4, -4*s - 4*a = 3*s + 16. Let w(u) be the first derivative of -34 + 1/3*u**3 + s*u + 0*u**2. Determine h(w(z)). 14*z**2 Let i(r) = -238*r**2 + 116*r**2 + 120*r**2. Let k(w) = w - 248. Give i(k(p)). -2*p**2 + 992*p - 123008 Let d(k) = 216*k**2 + 11*k + 11. Let i(c) = -118*c**2 - 6*c - 6. Let g(o) = 6*d(o) + 11*i(o). Let q(x) = -75*x**2 + 11. Calculate q(g(j)). -300*j**4 + 11 Let n(s) = -70*s**2. Let h(u) = u**3 + 3*u**2 - 13*u - 31. Let t be h(-4). Let z(x) = t*x**2 - 288931*x + 288931*x. Determine n(z(i)). -1750*i**4 Let z(y) = 30 + 10 + 4*y**2 - 7*y**2 + 56 + 24. Let b(g) = 5*g. Determine b(z(p)). -15*p**2 + 600 Let v(s) = -2*s. Let u(g) be the first derivative of 67 + 7*g - 44 + 10*g**3 + 119 - 2*g. What is u(v(j))? 120*j**2 + 5 Let l(m) = 4139*m**2 - 6*m + 2. Let t(y) = -1327*y. What is t(l(d))? -5492453*d**2 + 7962*d - 2654 Let i(t) = 3*t**2 + 182. Let p(v) = -67*v**2 - 34*v**2 - 26*v**2 + 150*v**2 - 30*v**2. Determine p(i(o)). -63*o**4 - 7644*o**2 - 231868 Suppose 2*n - h = -11, -13*n - 3 = -17*n - 3*h. Let l(t) = 4*t - 37. Let j(b) = -18*b + 184. Let g(r) = n*j(r) - 14*l(r). Let a(p) = p. Give a(g(s)). -2*s - 34 Let y(b) = -b**3 - 2*b + 3. Let k be y(-3). Let x(d) = 66*d - k*d - 29*d. Let a(f) be the second derivative of f**4/4 - 2*f. Calculate a(x(j)). 3*j**2 Let w(y) = -y**2. Suppose 33 = 2*p - 3. Suppose 0 = -3*f + 4*f - p. Let z(h) = 0*h**2 - f*h**2 - 31*h**2. Calculate z(w(u)). -49*u**4 Let t(r) = 4482*r**2. Let h(n) = -37959*n**2. Give h(t(z)). -762532690716*z**4 Let w(m) = m. Let r(l) = 15 + 6 + 91*l**2 - 47*l**2 - 42*l**2 + 26. What is w(r(s))? 2*s**2 + 47 Let m(b) = -68*b**2. Let p(d) = -6242*d - 2. Give p(m(l)). 424456*l**2 - 2 Let i(v) = -594*v**2 - 1136*v**2 - 461*v**2 + 149*v**2. Let r(t) = t**2. Give r(i(n)). 4169764*n**4 Let g = 91 + -65. Let z(a) = 48 - 22 - g + 3*a**2. Let y(x) = -255 - x**2 + 255. Calculate y(z(n)). -9*n**4 Let q(w) = 1320*w + 4336*w + 355*w - 352*w. Let i(z) = 2*z. What is i(q(c))? 11318*c Let b(l) = 13*l**2 - 7. Let k(r) = -2*r**2 + 1. Let t(n) = 2*b(n) + 14*k(n). Let v(x) = -2*x**2 - 3*x**2 + 3*x**2. What is v(t(f))? -8*f**4 Let u(g) = 5056127*g**2. Let p(z) = -3*z. Determine p(u(j)). -15168381*j**2 Let k(p) = 3 - 638*p**2 - 3 + 2037*p**2. Let v(q) = -q**2. Calculate v(k(i)). -1957201*i**4 Let w(h) = -190*h**2 + 219*h. Let j(y) = y. Give j(w(t)). -190*t**2 + 219*t Let a(u) be the second derivative of -u**3/2 - 3*u. Let m(i) = i + 117. Let y(w) = -105*w - 17199. Let q(d) = 147*m(d) + y(d). Calculate q(a(h)). -126*h Let o(f) = -135 - 42 + f + 177. Let y(q) be the second derivative of -q**4/24 + 7*q**2/2 - 2*q. Let u(m) be the first derivative of y(m). Give u(o(i)). -i Let o(w) = 626*w + 433*w - 1057*w. Let x(v) be the first derivative of -101*v**3/3 - 1. Determine x(o(r)). -404*r**2 Let a(s) = 4*s + 12. Let p(r) = 13*r + 34. Let q be (-34)/4*(-3 + 5). Let u(j) = q*a(j) + 6*p(j). Let y(t) = -3*t. Give y(u(b)). -30*b Let l(b) = -19*b + 6. Let m(q) = -q**2 + 2316*q - 1. Calculate m(l(o)). -361*o**2 - 43776*o + 13859 Let x(y) be the first derivative of y**2/2 - 10893. Let i(t) = -9005*t. What is x(i(h))? -9005*h Let h(s) = 60*s**2 - 16918*s. Let m(y) = 6*y**2. What is h(m(j))? 2160*j**4 - 101508*j**2 Let v(b) be the second derivative of 1/8*b**4 - 9/2*b**2 + 19*b + 0 + 0*b**3. Let f(d) be the first derivative of v(d). Let a(o) = -7*o**2. Determine a(f(j)). -63*j**2 Let q(c) be the first derivative of 17*c**4/24 + c**2/2 - 84*c - 115. Let a(t) be the second derivative of q(t). Let f(l) = 17*l. What is f(a(w))? 289*w Let a(l) be the second derivative of 3*l**4/4 - l - 1680. Let f(j) be the first derivative of -j**2/2 + 2. Determine a(f(y)). 9*y**2 Let w(r) be the first derivative of -35/2*r**2 + 0*r - 4. Let x(m) = m + 22195 - 22195. Determine w(x(v)). -35*v Let l be ((-4)/10)/(13/(-1235)). Let h(w) = 2*w**2 + 38*w - l*w. Let j(x) be the third derivative of x**5/30 - 11*x**2. Determine h(j(u)). 8*u**4 Let c(l) = 1059*l**2 + l - 5. Let b be c(2). Let g(d) = -4233 + b + 2*d**2. Let t(r) = r - 28. Determine t(g(z)). 2*z**2 - 28 Let y(f) = 7*f**2. Let m(u) be the second derivative of u**4/2 + 3*u**2 - 150*u - 5. Calculate m(y(l)). 294*l**4 + 6 Let x(n) = 3*n + 439*n**2 - 214*n**2 - 229*n**2 - 3*n. Let m(y) = 17*y - 10. Calculate m(x(p)). -68*p**2 - 10 Let u(s) = 10*s - 8. Let c(j) = -1248 - 1172 + 2420 + 17*j. Calculate c(u(q)). 170*q - 136 Let i(a) = 201*a**2. Let o(x) = 64*x**2 - 13*x**2 - 54*x**2. What is o(i(q))? -121203*q**4 Let d(b) = -136 + 14*b - 9*b + 112. Let a(n) = -n**2. What is d(a(i))? -5*i**2 - 24 Let u(f) = 5*f. Let p(c) = 4430*c**2 + 1221. Give p(u(a)). 110750*a**2 + 1221 Let g(v) be the third derivative of -v**4/12 - v**3/3 + 11*v**2 - 15. Let i(w) = -38*w**2. Determine g(i(a)). 76*a**2 - 2 Let k(b) be the second derivative of b**7/630 + 5*b**4/4 - 4*b - 9. Let c(f) be the third derivative of k(f). Let q(d) = 14*d. Determine c(q(a)). 784*a**2 Let u(w) be the first derivative of 0*w**3 - 12 + 2*w + 5/12*w**4 + 0*w**2. Let o(v) be the first derivative of u(v). Let t(a) = a. Determine o(t(n)). 5*n**2 Let z(l) = 2794*l**2. Let n(v) = 60*v - 28. Let a(y) = 43*y - 20. Let h(j) = -7*a(j) + 5*n(j). Determine h(z(f)). -2794*f**2 Let c(a) = 20*a - 2. Let u(n) = 385767*n. What is u(c(l))? 7715340*l - 771534 Let i(f) = -3*f**2. Let r(d) = -201*d + 125*d + 10 + 58*d. What is r(i(m))? 54*m**2 + 10 Let c(f) = 2*f**2 + 9*f - 3. Let a(q) = 3*q**2 + 12*q - 4. Suppose 0 = -27*o - 7*o + 102. Let i(z) = o*a(z) - 4*c(z). Let n(y) = -4*y**2 + 5. What is n(i(x))? -4*x**4 + 5 Let p = 124 + -130. Let d(h) = -11*h. Let g(q) = -2*q. Let s(f) = p*g(f) + d(f). Let z(r) = -10*r**2 - 2. Calculate s(z(n)). -10*n**2 - 2 Let w(f) = 28*f. Let c(z) = -4*z**2 + 8*z. Let m(q) = -5*q**2 - 30*q + 8. Let j be m(-6). Let k(a) = a. Let d(o) = j*k(o) - c(o). Calculate w(d(p)). 112*p**2 Let l(y) = 14471210*y. Let u(b) = 2*b. Calculate l(u(v)). 28942420*v Let k(z) = 31200 - z - 31200. Let m(r) = 2*r**2 + 130*r. Give k(m(l)). -2*l**2 - 130*l Let z(x) = 4201*x + 10. Let g(n) = -84*n. Give z(g(o)). -352884*o + 10 Let v(p) = -2*p**2. Let l(z) = -15442846*z. Calculate l(v(y)). 30885692*y**2 Let s(h) = 48*h**2 - 2*h. Let z(i) be the third derivative of i**5/30 - 1540*i**2. What is s(z(r))? 192*r**4 - 4*r**2 Let w(l) = 27*l**2 + 134239. Let k(u) = -7*u. What is k(w(z))? -189*z**2 - 939673 Let f(r) = -2*r. Let z(i) = -3*i - 6. Suppose -10*w = -7*w + 4*n - 6, -4*w + 8 = 5*n. Let o(k) = k + 3. Let h(q) = w*o(q) + z(q). Give h(f(d)). 2*d Suppose -2*q - 4 + 10 = 0. Suppose q*a = -2*a - 4*o + 89, 0 = -3*o + 3. Let k(r) = 38 - 21 + 23*r**2 - a. Let g(f) = -f. Determine g(k(d)). -23*d**2 Let q(f) = -34*f**2. Let h(d) = -285*d - 685. What is h(q(m))? 9690*m**2 - 685 Let l(h) = 5728504*h. Let x(u) = 19*u. Determine x(l(c)). 108841576*c Let o(f) = -f. Let x(a) be the second derivative of 0*a**2 + 6 - 2*a + 0*a**3 + 1/3*a**4. Give o(x(h)). -4*h**2 Let d(f) = 5*f. Let j(y) be the third derivative of -41*y**4/24 + 275*y**2. Give j(d(p)). -205*p Let x(k) = 108*k**2 + 92. Let n(c
{ "pile_set_name": "DM Mathematics" }
(n) = 20*n - 41. Is 3 a factor of m(s)? False Is 18 a factor of -36*7/(56/(-1636))? True Let o = -5128 + 11108. Is o a multiple of 27? False Let v(a) = -4*a + 23. Suppose -62*y = -66*y + 20. Let r be v(y). Suppose -2*h = -t + 58, -t - 91 = -r*t - h. Does 8 divide t? True Suppose 5*g + 10 = 10*g. Let c be (-3 + 1)/(g/(-5) - 0). Suppose 4*q - 3*q = c*a - 603, q - 2 = 0. Is a a multiple of 31? False Let j be -4 + ((-32)/(-4))/2. Suppose -r + 498 = i, -2*r + 5*i + 182 + 793 = j. Suppose 2*m - 214 = -2*n, r = 5*m - 0*n - 3*n. Is 34 a factor of m? True Suppose -3666153 + 4821561 = 99*f - 4896264. Is 139 a factor of f? False Suppose 3*f + x = f + 42, f - 4*x - 3 = 0. Let n = 718 - 693. Suppose n*j - f*j = 60. Is 5 a factor of j? True Suppose -41 = 2*b - 31. Does 18 divide 45/b*2*-17? True Let u = 3113 - -108. Is 36 a factor of u? False Let q(o) = -12*o - 165. Let u be q(-14). Suppose -1945 = -u*n + s, 4*n + 4*s = 1877 + 695. Is n a multiple of 15? False Let w(d) = -d**2 - 32*d + 52. Let a be w(-20). Suppose -3*y + 2637 = -5*x + a, 0 = y - x - 783. Is y a multiple of 30? False Suppose 0 = 5*q - 14 - 26. Suppose -8 = -q*g + 7*g. Let v = 55 - g. Does 32 divide v? False Suppose 2*c - 23 = -3*a, -5*c = 4*a - 10*c. Suppose 19*h - a*h = 546. Does 13 divide h? True Let k(z) = 12*z - 111. Let d(g) = 25*g - 222. Let y(n) = 2*d(n) - 5*k(n). Does 3 divide y(9)? True Suppose z - 541 = h + h, 4 = 2*h. Suppose 3*q = z + 1009. Is q a multiple of 37? True Let o(j) = -9*j**2 + 102*j - 24. Let a(c) = -20*c**2 + 203*c - 49. Let h(k) = -4*a(k) + 9*o(k). Is 29 a factor of h(16)? False Let a be (-1)/(4*(-5)/14900). Suppose 4*d - a = -3*l + 444, -1544 = -4*l + 5*d. Is 18 a factor of l? False Suppose 19*c - 73 = -1175. Let h = 107 - c. Does 20 divide h? False Let l = 833 + 8335. Is l a multiple of 6? True Suppose 8*i - 16 - 16 = 0. Suppose -i*v = a - 284, a + 82 = 3*v - 131. Is 6 a factor of v? False Suppose -y + 3 = s, 0 = 4*s - s - 2*y - 9. Let n(r) = s*r**2 - r**2 + 5*r - r**2 - 21. Is 36 a factor of n(-14)? False Suppose -20 = -h - 19. Let w(a) = 382*a - 38. Is w(h) a multiple of 8? True Let w(s) = 19*s**2 - 18*s - 63. Let a be w(-6). Let h = -641 + a. Does 14 divide h? False Is 248 a factor of -4538*(-141)/30 - 18/(-120)*-4? True Let m(b) be the third derivative of b**4/2 - 61*b**3/6 - 1357*b**2. Let p(k) = -k**2 + 11*k - 9. Let q be p(7). Is 10 a factor of m(q)? False Let f = -43 - -10. Let i = f - -33. Suppose i = j - 0 - 115. Is j a multiple of 14? False Suppose -4*a + 8 = 0, 13*a = -4*m + 10*a + 14. Let w be ((-100)/(-30))/(0 - m/(-3)). Suppose 0 = -2*f - 4*z + 184, 3*f + w = 4*z + 271. Is 6 a factor of f? True Suppose -3*f - r = -0*f - 16, 5*f - 2*r = 23. Let t(m) = -26*m - 172. Let a(i) = 5*i + 37. Let y(g) = -28*a(g) - 6*t(g). Does 31 divide y(f)? False Let l(s) = -170*s - 481. Is 38 a factor of l(-15)? False Suppose -4*j + 3*i + 2254 = -954, -4033 = -5*j - 2*i. Is j a multiple of 23? True Let j(n) = -1058*n - 2459. Does 27 divide j(-4)? False Is 24/9 + -3 + 1 + 636372/27 a multiple of 9? False Let x(s) = -15*s + 2 - 119 + 3. Does 38 divide x(-21)? False Let i(l) = 5*l**2 - 6*l + 22. Let n(t) = -6*t**2 + 5*t - 23. Let o(h) = -5*i(h) - 4*n(h). Let k be o(22). Let d = -130 - k. Is d a multiple of 19? True Let j be 5*1 + (35 - 37). Suppose -4*o = -10*p + 5*p + 4488, 3*p = -j*o + 2682. Does 14 divide p? True Let q be 11 + (-2 + 0)/(-2). Let o = 22015 - 21160. Suppose q*g - o = 1017. Does 13 divide g? True Let o(u) = u**2 - 6*u - 56. Suppose 0 = 12*i - 9*i - 54. Is 50 a factor of o(i)? False Let a = 62 + -57. Suppose 4*c - 1 = 7. Suppose c*u + 160 = 3*y + 2*y, -u = -a. Is 8 a factor of y? False Let a be ((-18)/30)/(3/15) + 3. Suppose -4*s - 4*z = -3*s - 143, a = 4*s + 2*z - 572. Does 7 divide s? False Let p = 43969 + -23750. Is p a multiple of 9? False Let z = 8 + -5. Suppose 47*b - 51*b = -4*q + 628, 2*b = -6. Suppose 0 = -4*m - z*m + q. Does 2 divide m? True Let z = -8776 - -15156. Does 58 divide z? True Suppose -3 = -5*d + 22, -4*l + 375 = 3*d. Suppose 0 = 7*u - 4*u. Suppose u*a + 3*a - 216 = -5*y, -3*a + l = 2*y. Is y a multiple of 7? True Suppose -d = 2*d + 9, -5*i = -4*d - 32. Suppose 6 = -i*t + 6*t. Suppose -t*o + 66 = -12. Is o a multiple of 3? False Suppose -2*h = 10 - 14. Let i be h/10 - 372/(-15). Suppose 18*a - i*a = -287. Is a a multiple of 8? False Suppose -r + 5*z = -5*r - 46, 2*r = -5*z - 28. Let g(p) = -p**3 - 5*p**2 + 10*p + 17. Is 18 a factor of g(r)? False Let d be (48/(-20))/((-2)/720). Suppose -18*h - d = -26*h. Is 18 a factor of h? True Let v be ((-10)/(-25))/(2/(-10)) + -4. Let f be (-8)/5*15/v. Suppose -q - r + 103 + 23 = 0, f*q + 2*r - 494 = 0. Does 8 divide q? False Let v(p) = -4*p**3 - 2*p**2 + p - 6. Let l be v(-4). Suppose 4*d - 5*s - 420 - 12 = 0, -2*d + 2*s = -l. Let n = d + -33. Is 14 a factor of n? True Let w be (-20)/(-4)*747/(-15). Let f = w - -317. Does 14 divide f? False Let u(y) = -9*y**2 + 24*y - 3. Let z be u(3). Is (-4*11)/(z/(7 + -1)) a multiple of 8? False Let r(o) = 1573*o - 405. Is 139 a factor of r(4)? False Let q(k) be the second derivative of k**3/3 - 8*k**2 + 12*k. Let m be q(10). Suppose 3*z - z = -3*b + 11, 27 = m*z + 5*b. Is 2 a factor of z? False Suppose 227217 = 125*j - 919783. Is 124 a factor of j? True Suppose 0 = 2*d + 5*f - 295, -d + f + 144 - 7 = 0. Let h = 326 - d. Is h a multiple of 9? False Is 210 a factor of (-491426)/(-65) - (-18)/(-45)? True Let k = -8 + 20. Suppose -7*f = k - 47. Suppose 0 = -f*b - 5*s + 100, -b + 6*b = 4*s + 55. Does 3 divide b? True Let t = 93 - 90. Suppose -2*q - t = m, 4*q - 9 = q. Let n(j) = j**3 + 11*j**2 + 16*j + 8. Does 13 divide n(m)? True Let t(q) = 10*q**3 + 7*q**2 - 17*q + 28. Is 5 a factor of t(3)? True Suppose -359*j - 338407 = -10211716 - 166126. Is 47 a factor of j? True Does 68 divide ((-11)/((-385)/(-10)))/(-2) - (-128748)/21? False Suppose 119 - 9 = -2*p. Let k = p + 47. Is k + (3 - -1) - -148 a multiple of 48? True Let r(o) = 4*o + 5*o + o**2 + 2661 - 2700. Is 13 a factor of r(13)? True Let p be 26/39*469596/8. Suppose 18*y + 9649 = p. Is 63 a factor of y? True Suppose 7*f + 33 - 89 = 0. Suppose -f = 3*x + 37. Is ((-78)/x)/((-4)/(-20)) a multiple of 13? True Suppose 2*n = 5*u + 454, 2*n + 466 = 39*u - 44*u. Is 40 a factor of u/(-460) - 5999/(-5)? True Suppose -2 + 3 = -m, 492 = 5*c + 3*m. Let q be 4/(-22) - (-24867)/c. Suppose -8*p + q + 2149 = 0. Does 30 divide p? True Let f(j) = 4*j + 1. Let s(l) = -21*l + 212. Let z(v) = 5*f(v) + s(v). Is 22 a factor of z(-42)? False Does 72 divide (-72)/135*3*(-3 - 2157)? True Let i be (10/(-15))/(4/18). Let k be 9/3*(-3 - 293/i). Is 18 a factor of (-6)/(-27) - (k/(-18) + -2)? True Suppose 2*u + 3*l - 210 = 0, -5*u - 4*l + 579 = 61. Let f = u - -66. Is f a multiple of 31? False Suppose w = 4*q + 14864, -22*w + 18*w + 4*q = -59432. Does 45 divide w? False Let q(a) = a**3 + 17*a**2 + 9*a - 16. Let j be q(-15). Let k = j - 467. Is 21 a factor of -1*(-3)/(-6)*k? True Suppose 4*c = -4*h + 956, 5*h = 3*h + 3*c + 478. Suppose -2*w + 89 = l, 5*w - 27 - h = -3*l. Does 6 divide l? False Suppose -3*t + 5*k = -25080, -5*t - 38*k + 41800 = -41*k. Is 95 a factor of t? True Suppose -133*m = -144*m + 69586. Is 6 a factor of m? False Let c(n) = -12*n - 172. Let f = 227 + -253. Does 7 divide c(f)? True Suppose 2*u + 5*g = 1024, -26*u + 5*g - 2545 = -31*u. Is u a multiple of 13? True Suppose 0 = -111*z + 109*z + 479 + 2903. Does 13 divide z? False Let y(u) = 2*u**3 + 36*u**2 - 27*u + 9. Let z be y(-17). Let l = z - 637. Is 14 a factor of l? False Is -4*(-1)/(-2) - 199649/(-43) a multiple of 91? True Suppose -a + 1190 + 553 = -5*d, 5*a - 8743 = -3*d. Is 38 a factor of a? True Let b(s) = 884*s**2 + 33*s + 30. Is 11 a factor of b(-1)? False Suppose -11 = -6*p - 11. Suppose -75*b + 124*b - 79086 = p. Does 77 divide b? False Suppose -12*t + 15*t = -84. Let g be 49/t + 3/(-12). Is (-90)/(-1 - (g + 2)) a multiple of 5? True Let x(y) = -y + 2. Let t(w) = -3*w**2 - 14*w + 37. Let v(c) = -t(c) + 6*x(c). Does 27 divide v(-13)? True Let x = 419 - 204. Suppose -5*i - 20 = 0, -3*r - 4*i + x = -3*i. Suppose -g - 24 = -3*h + 53, 3*h - 2*g - r = 0. Is 27 a factor of h? True Is (92/5 - 2)/((-1024)/(-307200)) a multiple of 10? True Let y(o) = 65*o**2 - 85*o - 9
{ "pile_set_name": "DM Mathematics" }
2)/(-2847768)*67))/((-3)/4). -46 What is (105/105)/((-26)/260)? -10 Calculate (-8)/(-12)*4/4*(396/363)/2. 4/11 55/3520*-32*(-2)/(-3) -1/3 Evaluate 6/1*23/13800*60. 3/5 7/(84/(-45))*44/2860*-26*20 30 Calculate ((-73416)/92)/(-38)*(-20)/1085. -12/31 Calculate (((-10)/(-1))/((-56)/322)*4)/((-260)/104). 92 ((-1302)/87885)/((-2)/18) 2/15 48/(11040/50)*(-56)/1260 -2/207 Calculate 4*(-23)/((-4508)/2401). 49 (-4136)/15510*5*(-3)/54 2/27 What is the value of 49*((-1455)/4074)/(-1*(-4)/16)? -70 Calculate ((-336)/21)/(-48)*(-1323)/168. -21/8 Evaluate 1320/(-220)*330/(-36). 55 Evaluate ((-3)/138)/1*((-32928)/280)/(-147). -2/115 What is the value of (8/(-40))/(53/4770)? -18 (16/100*1)/((-1236)/3090) -2/5 What is ((-12510)/(-170136))/((-20)/32)? -2/17 What is ((-9012)/(-3755))/((-54)/100)? -40/9 Evaluate (8/4*-1)/(-155*(-208)/(-125736)). 39/5 Evaluate (160/128)/((-2050)/(-2624)). 8/5 Calculate 119/(-43*124/5332). -119 What is the value of (5/25*9)/(22902/(-763400))? -60 What is the value of (14/(-120))/((9240/594)/20)? -3/20 Evaluate (18063/10035)/((-3)/(-5)). 3 What is (-15)/75*-2*(-14)/(-28)? 1/5 What is (-1)/(-9*(-1)/36)*(-989)/92? 43 What is the value of ((-162)/(-4*8/32))/((-6)/(-3))? 81 Calculate 187*2*10558/(-116138). -34 (-39690)/(-105)*23/138 63 What is the value of 1930/67550*28/(-10)? -2/25 27*62/(-2151090)*10 -2/257 What is (9/(-216))/(((-432)/(-2176))/(-3))*3? 17/9 Evaluate (-70)/(-224)*16/120*4*(-13)/(-39). 1/18 What is (-49929)/(-1513)*1/(-759)? -1/23 (8/((-384)/156))/(510/(-18360)) 117 Calculate ((6600/165)/10)/(56/2). 1/7 Calculate (-10)/3*-174*(-135)/743850. -2/19 ((-8)/(-50))/(12*(-2)/20)*90990/111210 -6/55 What is 840/120*3*(-10)/330? -7/11 Calculate (40/24)/((-56)/1344). -40 ((-8)/(-60)*(2760/(-36))/(-10)*15)/(-2) -23/3 ((-1240)/(-12152))/(85/(-2618)) -22/7 Evaluate ((-396)/792)/((-1)/(-24)). -12 What is the value of (-45)/(-60)*-198*(-3)/108? 33/8 What is the value of (((-384)/(-9))/(-4))/(((-36)/(-45))/(540/450))? -16 Calculate 55/((-35750)/(-150))*78. 18 What is ((-57)/(-68))/(-19)*4444/(-5555)? 3/85 What is the value of ((-27768)/(-5340))/((-5)/(-25))? 26 Evaluate (6/(-154))/((-9819)/24002). 2/21 Calculate (((-16)/4)/(-4))/((-3116)/(-377815)*5/(-4)). -97 What is the value of (42/(-18))/(18/((-16038)/63))? 33 What is the value of ((-315)/(-5390)*14)/((-465)/(-3751))? 33/5 Evaluate 27195/5180*((-2)/12)/((-15)/1680). 98 What is 168/36*9/7*32/(-640)? -3/10 Calculate (698/(-4188))/(1/(-3)*1)*(-26)/(-4). 13/4 What is 2148/179*(-40)/24? -20 What is (1/15)/((4/2)/(1*(-168)/28))? -1/5 Calculate 6*26/(-39)*11/(-4). 11 What is the value of (636/72)/(2/21)*(-10)/35? -53/2 Evaluate (-1729)/39*(-48)/56. 38 3346/93688*70/6 5/12 What is the value of (13/3)/((-38610)/(-4860))? 6/11 Evaluate (4/10)/(((-44180)/188)/(-11750)). 20 What is the value of 396*(132/(-3))/264? -66 ((1/(-27)*1)/(15/45))/3 -1/27 What is ((-143)/(-13))/((-275)/50)? -2 (2/(-100))/((-70)/(-120)*45/35) -2/75 Calculate ((-16)/(-24))/((-125)/6375). -34 (-2)/(5/(50/14))*12390/7670 -30/13 Calculate 36/126*(-105)/45. -2/3 Calculate (540/450)/(2/(-14)*(-1694)/(-660)). -36/11 Calculate (-134)/2077*-2263*7/(-14). -73 What is -270*(-57)/632700*3*30/27? 3/37 Calculate ((-102)/(-149940)*60)/(8/476). 17/7 (100/30)/(15/(-1350)*3) -100 Evaluate (480/336)/(3/((-189)/(-72))). 5/4 (-10)/((-80)/8)*1/((-17)/3) -3/17 Evaluate (-60)/(-18)*10*117/(-1690). -30/13 Calculate 5/(250/320)*((-84)/(-378))/((-24)/(-18)). 16/15 Calculate (-32)/2720*34*5/6*-201. 67 Calculate (-7)/(-49)*9*7/35*5. 9/7 Calculate ((112/20)/14)/(15/(-8625)*10). -23 Calculate (-14696)/668*(-9)/(-66). -3 Evaluate 94/94*((-62)/3)/(50/(-300)). 124 What is the value of (6/(-5))/(46080/9600)? -1/4 What is the value of (4916/180663)/(6/(-21))? -2/21 Calculate (-76)/513*(-5)/420*-21. -1/27 Calculate 5/(105/12)*(-268)/(-536). 2/7 Evaluate ((-22)/495*-15)/(((-3)/1)/126). -28 Calculate ((-12)/350)/(5481/51156)*-5*12. 96/5 What is the value of -75*(44/99)/(2240/(-336))? 5 245259/(-3435)*(-1)/(-21) -17/5 Evaluate (109/4)/(19809/79236). 109 Calculate (66/217)/(161205/102585). 6/31 Calculate 660/40*(-40)/(-6)*79/158. 55 What is (8/72)/(9*(-24)/(-1458))*182/(-117)? -7/6 (1/(-3)*87/(-58))/((-8)/48) -3 Calculate ((2*-1)/(8*(-2)/8))/((-442)/238). -7/13 What is the value of (1/14*4)/((-141)/(-290178)*-56)? -21/2 Calculate (((-10)/(-3))/(-1))/(((-987125)/9540)/745). 24 Calculate ((2*10)/(-2))/((17/425*-10)/1). 25 35/41*(-207)/(-7245) 1/41 (2/7)/((-92684)/19082) -1/17 What is 198/(-22)*31/((-5115)/30)? 18/11 ((-51)/15589)/((-2802)/(-13076)) -2/131 What is the value of (-240)/(-220)*550/(-500)? -6/5 (-13*16/(-2080))/(((-70)/840)/((-26)/4)) 39/5 What is the value of (5184/880)/(-18)*(-250)/600? 3/22 Calculate (39/520*-22)/(21/(-224)*-8). -11/5 (13770/(-170))/(7/(35/5)) -81 What is ((-63)/((-9450)/(-240)))/(12/(-45))? 6 Evaluate (-9)/(-48)*((-264)/990)/((-8)/(-1720)). -43/4 What is the value of ((-10)/(-38))/((108/1350)/((-6)/75))? -5/19 Evaluate (((-2079)/18711)/((-74)/9))/((-2)/(-24)). 6/37 What is the value of (((-240240)/1078)/(-52))/(-1*(-6)/(-63))? -45 What is 3/(-12)*(6660/80)/111? -3/16 What is the value of 27*30/150*(-5)/(-3)? 9 Evaluate -1*(-1)/(-1)*1*(-476196)/22676. 21 What is (-12716)/1496*(24*1)/(-3)? 68 What is (-324)/(-144)*52/429*44/48*2? 1/2 Calculate (48/320*-10)/(91/26). -3/7 Evaluate (-1*72)/((-161)/(-69)*80/(-140)). 54 What is ((-14)/4620*-33)/((-6)/(-8)*18/(-243))? -9/5 What is the value of (1080/(-660))/((-18)/(-99))? -9 What is (132/(-176))/(300/200)? -1/2 Evaluate (-6722)/3361*(207/(-2))/3. 69 (-9386)/1482*(-108)/114 6 258/(-430)*(-150)/(-1260) -1/14 (61/122)/((-15)/9)*-90 27 What is ((-3)/(-6))/((-35)/(-420))*75/(-3375)? -2/15 Evaluate 1*15*(4/(-30))/(72/43200*15). -80 What is ((3/(-9))/(-1))/((-70)/((-50820)/(-22)))? -11 What is (2/1)/(1420/(-65320))? -92 Evaluate ((-132)/352)/(28/((-149184)/(-18))). -111 What is (1987/5961)/((-1)/(-33))? 11 Evaluate 483/6*((-32208)/154)/(-122). 138 What is 5031/1677*5/(-435)? -1/29 ((-6*(-7)/252)/(7*(-19)/15162))/2 -19/2 Evaluate (7*(-40)/(-350))/(29/((-580)/(-216))). 2/27 Evaluate ((-19)/(15827/112))/(168/588). -8/17 Calculate (-255424)/2456*(-7)/8. 91 What is the value of (39/(-12))/(70980/(-1680))*((-3)/15)/1? -1/65 Calculate (-7144)/(41360/(-220))*((-1)/5)/((-2)/(-5)). -19 What is 15/(-42)*96/(-300)*-15? -12/7 ((-32)/3)/(-4)*6372/(-2832) -6 ((-4)/6)/((-78)/(-9)*(-6834)/(-636701)) -43/6 Evaluate 4812/44110*12155/26. 51 What is 11/(1100/(-80))*(-105)/(-126)? -2/3 Calculate (-10*(-16)/1080)/((-77)/((-48510)/(-60))). -14/9 What is the value of (4521/22605)/((-3)/66*-2)? 11/5 What is (1/((-4)/(-6)))/(4496/(-26976))? -9 Calculate 45/63*910/25. 26 Evaluate ((198/25)/(-33))/(((-32)/60)/((-2)/(-12))). 3/40 What is (-15)/6*(48/(-128)*-2)/(60/(-1568))? 49 Evaluate ((-12)/(-21))/(((-66)/(-105))/((-100)/1500)). -2/33 21/(315/48)*((-125)/26)/(-25) 8/13 What is (77/(-44))/(1/(-2))*7*(-2490)/(-1245)? 49 Evaluate ((-2)/20)/(10976/15680). -1/7 What is the value of (13/((-52)/3))/((-310)/465*(-2)/96)? -54 What is the value of (-471)/(-74732)*12*18/(-81)? -2/119 What is the value of -6*908/27921*(-2)/(-8)? -2/41 Evaluate (-1*-3*(-3)/1116)/(1039/12468). -3/31 What is the value of 90/4*(-188)/(-11280)? 3/8 What is the value of -282*(-10)/(-2)*(-58)/145*(-63)/(-756)? 47 What is ((500/8)/(-5))/(291/(-1164))? 50 What is (-44)/44*(-323)/17? 19 Evaluate (42/384*-8*-4)/((-12)/24). -7 What is 56/((-8)/8)*17/136? -7 Evaluate (2/(-4))/((-1)/3)*272*(-23128)/(-79968). 118 Calculate 33/(-198)*8856/82. -18 Calculate (-306)/(-3)*((-5)/(-25))/(54/90). 34 What is (-25)/(-50)*(-29)/(-1595)? 1/110 2/1*(-3)/(-5)*-97*(-1380)/40158 4 ((((-3552)/(-56))/37)/1)/(8/406) 87 (1/51*-8)/((376/(-1269))/((-8)/6)) -12/17 (2/222*-12)/(30/30) -4/37 Calculate (70*11/308)/(4/40). 25 Calculate 128/20*155/(1085/(-35)). -32 Calculate -7*(19061/(-778))/((-14)/4). -49 Calculate (-360)/780*3887/(-138). 13 Evaluate 14/2*(-5980)/(-644)*(-43)/43. -65 What is the value of (480/(-56))/((111/(-555))/(7/(-3)))? -100 Evaluate (4407/2938)/((-2)/10*(-65)/4). 6/13 What is ((-125)/((-266875)/(-1464)))/(5/(-75)*-3)? -24/7 What is the value of (-3*4/4)/((15/(-800))/(4/16))? 40 What is (8/14)/(689*(-216)/(-440748))? 22/13 Evaluate ((12/6)/(3180/50))/((-45)/54). -2/5
{ "pile_set_name": "DM Mathematics" }
descending order. w, 0.3, -1/3, -0.4 Let o = -26 + 46. Suppose -v + 6*v - o = 0. Sort v, -5, -4 in descending order. v, -4, -5 Let z(d) = -d**2 + 4*d + 8. Let b be z(6). Let i = -4 - b. Let s = 1 - 2. Sort s, -2/7, i in decreasing order. i, -2/7, s Let h = -5484 - -27619. Let l = -110284/5 + h. Let v = l - 78. Sort v, 0.3, 5 in ascending order. v, 0.3, 5 Let c(p) = -p**3 + 9*p**2 - 6*p - 4. Let y be c(8). Suppose 0 = -2*h + 3*z - y, -10 = -3*z - 2*z. Sort -1, h, 2 in ascending order. h, -1, 2 Let q = 6.86 - -0.34. Let r = 7 + -14. Let s = q + r. Put -4, s, 0 in descending order. s, 0, -4 Let y = -48 + 55. Put -2, y, 0 in descending order. y, 0, -2 Let d = 6.08 - 6. Let c = 3 + -8. Sort d, 3, c in descending order. 3, d, c Let n be -1 + 19 - (-2 - -4). Suppose 0 = -3*j + 12, 2*w - 4*w + n = 3*j. Let f = -0.4 - 0. Sort w, -0.5, f in decreasing order. w, f, -0.5 Suppose -p - 5*b = -2*p - 21, 4*p + 8 = b. Let g = -3 - -5. Sort g, p, -4 in increasing order. -4, p, g Let i(j) = j. Let f(m) = -5*m - 6. Let h(q) = -f(q) - 6*i(q). Let b be h(7). Sort -3, b, 0 in decreasing order. 0, b, -3 Let r = -2 - -2.5. Let k = 0.4 - 1.4. Let y = -7.8 + 8. Put k, y, r in ascending order. k, y, r Let w = 1.1 + -1.8. Let j = -0.5 - w. Let b = -6 + 10. Put -1/3, j, b in descending order. b, j, -1/3 Let l = 0.2 - 0.6. Let t = l - -0.4. Suppose -n + 16 = 4*p - 2, p = 2*n. Sort -2/5, t, p in descending order. p, t, -2/5 Let w be 80/75 + 8/(-20). Put w, -5, -1 in increasing order. -5, -1, w Let a(x) = -x + 2. Let m be a(5). Sort 5, -5, m in decreasing order. 5, m, -5 Let v be ((-4)/(-3))/(4*1/(-6)). Sort 3, v, 7 in increasing order. v, 3, 7 Let f = 57 + -57. Sort f, 5, -2, -5. -5, -2, f, 5 Let q = -11 - -13. Let j be -1 - (0 - 0) - -8. Let z = 12 - j. Put -2, q, z in increasing order. -2, q, z Let c = 622 + -16796/27. Let n = c - -8/27. Put 1/4, 4/7, n in ascending order. n, 1/4, 4/7 Let h = -86160/7 + 12260. Let g = -48 - h. Suppose -5*w = c + 2*c - 29, -2*w + 5 = -c. Sort 3/5, g, w in increasing order. g, 3/5, w Let f be -3 - (1 + (-23)/6). Sort -1, 1, f in ascending order. -1, f, 1 Let o = 0.05 + -0.03. Let k = o + -0.42. Let l = -0.52 + 0.02. Put 5, k, l in descending order. 5, k, l Suppose 0 = 6*u - 2*u - 12. Let l = -22 - -30. Suppose -20 = -l*w + u*w. Put w, 2, -4 in descending order. w, 2, -4 Let i(s) = s**3 - 4*s**2 - 5*s - 2. Let u be i(5). Sort 4, 5, 3, u in ascending order. u, 3, 4, 5 Let s(z) = z**2 + 5*z - 1. Let x be s(-4). Let u = 191 - 1339/7. Put x, -1, u in decreasing order. u, -1, x Let u = 0.13 + -0.09. Let k = -4.56 + 5. Let a = u - k. Sort a, -2/7, -1/7 in decreasing order. -1/7, -2/7, a Let c be ((-1)/(-1))/((-4)/8). Sort -0.2, 0.5, -3, c. -3, c, -0.2, 0.5 Let q(i) = i**2 - 6*i + 2. Let t be q(6). Let a(y) = -y + 6. Suppose f - 5*f = -4*x + 16, -x = 2*f - 7. Let n be a(x). Put 2/5, n, t in descending order. t, n, 2/5 Let f(b) = -b**2 + 7*b - 6. Let n be f(6). Suppose -5*y + 4*x - 1 = 0, -4*y + 42 - 14 = 4*x. Let l = -1 + 2. Put l, y, n in decreasing order. y, l, n Let a = 4 + -1. Suppose -w - 4*k + 5 = -k, -9 = -a*w - 3*k. Sort w, -5, 5 in descending order. 5, w, -5 Let z be 1*0/(3 + -1). Suppose 3*j = 12 - 15. Sort z, j, -3 in ascending order. -3, j, z Let t be (2*1)/2 - 2. Suppose -4*c = -5*l - 17 + 5, 5*c - 15 = 5*l. Let y = l + 5. Put 1, y, t in increasing order. t, 1, y Suppose -h + 2*h - i + 2 = 0, 0 = h + 5*i - 4. Suppose -3*x - x = -8. Suppose 4*k + 4 = 3*r + 8*k, 0 = x*r - 4*k + 24. Sort r, 2, h in descending order. 2, h, r Suppose 9 = c + t, 0*t = 5*t - 25. Sort c, 2, 3, 1 in descending order. c, 3, 2, 1 Let j(t) = -4*t**3 + 1. Suppose 5*c = -0*c + 5. Let o be j(c). Sort o, 2, -4 in decreasing order. 2, o, -4 Let d(g) = -2*g**3 + g**2 + g. Let l be d(2). Let r be (-4)/l + 7/20. Put 0.1, -0.4, r in descending order. r, 0.1, -0.4 Let l(a) = a + 6. Let c be l(-2). Sort -4, -3, c in ascending order. -4, -3, c Let z(f) = -f**3 - 4*f**2 + 5*f + 4. Let h be z(-5). Suppose 10*q + 17 = -3. Put h, q, -1 in descending order. h, -1, q Suppose 4*n + k - 14 = -0*k, 4*k + 8 = 0. Let z(y) = y - 9. Let w be z(5). Let p = 2 - 0. Put n, p, w in decreasing order. n, p, w Let j = -12 + 10. Let b = -3 + j. Sort 1, 3, b in increasing order. b, 1, 3 Let d be (-5093)/308 + 2/7. Let u = d - -16. Sort u, 5, -2/11 in decreasing order. 5, -2/11, u Let w be (-2)/(-4)*(2 + 1). Let h = -0.24 + -0.06. Let g = h + 0.2. Put w, 2, g in ascending order. g, w, 2 Suppose q - 5 = 0, -6 = -5*b - 5*q - 1. Let w = -7 + 2. Sort b, w, 0.09 in increasing order. w, b, 0.09 Let o = 15 - 12. Suppose 0 = 4*f + 12 - 36. Suppose -o*w + 18 = -3*l, -f*l + 2*l = 4*w - 16. Sort 0, w, 2/5. 0, 2/5, w Let i = 8 - 11. Let b be 69/15 - 2/(-5). Sort b, -4, i in decreasing order. b, i, -4 Let w = 7 - 7. Let g = 1 - w. Let t be (-88)/40 + 2*g. Put t, -4, 3 in ascending order. -4, t, 3 Suppose 2*f = 8 + 8. Let m = -5 + f. Put 5, m, 0.3 in descending order. 5, m, 0.3 Suppose s + 3*g = -4*s - 34, g - 17 = 4*s. Let t be ((-6)/4 + 1)*-6. Suppose -11 = -3*x - 3*h + 1, -3*x = -5*h + 4. Sort x, s, t in descending order. t, x, s Let x = 0.1 + -0.2. Let y = x - 0. Let w = 3.2 + -3.6. Put -1, y, w in decreasing order. y, w, -1 Suppose 2*n + 4*d = -4, -7*n - d = -2*n - 26. Let s = n + -2. Sort s, 2, -5 in decreasing order. s, 2, -5 Let t = 89 + -625/7. Let j = 0.1 - 0.4. Let b = -0.02 - -0.52. Put j, t, b in decreasing order. b, t, j Let r = 87 + -83. Put 5, r, -1, 9 in decreasing order. 9, 5, r, -1 Suppose 3*a - 5 = 2*a. Let k(n) = n**3 + 5*n**2 - 3. Let s(z) = -z**3 - z - 5. Let o be s(0). Let q be k(o). Put a, q, -2 in descending order. a, -2, q Let c = 51 - 51.1. Put 2/13, -3, 4, c in descending order. 4, 2/13, c, -3 Let b = -2.5 + 2.37. Let g = b - -0.08. Put 4, -3/5, g in descending order. 4, g, -3/5 Let j = -0.03 - -0.43. Let s(g) be the second derivative of -g**3/2 - g**2/2 - g. Let t be s(-1). Sort t, -0.3, j in ascending order. -0.3, j, t Let c = 0.18 + 0.12. Let a = c - 0.7. Put 0.1, a, 0.4 in decreasing order. 0.4, 0.1, a Let j(p) = -p**3 + 2*p**2 + p - 2. Let x be j(3). Let w be 2 - (-3 + x/(-4)). Suppose 2 = -2*y - 6. Put w, y, -1 in descending order. w, -1, y Let r(k) = k**3 + 4*k**2 - 3. Let t be r(-3). Suppose h + t = -2*h. Put -3, h, -1/2 in increasing order. -3, h, -1/2 Let t be 8*(2/4)/1. Let z(d) = -d + 13. Let v be z(12). Sort -4, t, v in decreasing order. t, v, -4 Let g = -2 + 4. Suppose 0 = 5*a - 12 - 13. Suppose 0 = 2*q + 3*q + a*z + 40, -3*z = -2*q - 1. Sort q, 5, g. q, g, 5 Let v be 325/100 + (-2 - 1)*1. Put 0.5, -1/3, v in increasing order. -1/3, v, 0.5 Suppose -3*z + 31 = -z - 3*a, -5 = -z - 2*a. Let g = -2 + z. Let t = g - 13. Put 5, t, 2 in increasing order. t, 2, 5 Let p = 15 - 20. Suppose 3*w + w = 0. Put -3, p, w in descending order. w, -3, p Let c = -0.018 + -2.282. Let p = c - -0.3. Let v = -2/155 + -304/465. Put v, p, -4 in ascending order. -4, p, v Let z = -0.8 + -1.2. Sort z, 1/10, -3 in decreasing order. 1/10, z, -3 Let i = 0.83 - 0.53. Put i, -4, -2/3 in increasing order. -4, -2/3, i Let o(l) = -8*l - 1 - 2 + l**2 - 2*l**2. Let u be o(-8). Let b(p) = p**2 + 4*p + 4. Let n be b(-4). Put u, n, 2 in decreasing order. n, 2, u Let b be (-1)/(-3*4/(-3)). Let c = -6 + 5.6. Sort c, -0.2, b in ascending order. c, b, -0.2 Let m = -64 - -63.5. Sort m, -0.08, 2/9, 3 in ascending order. m, -0.08, 2/9, 3 Let a = -4.14 - -6.1. Let j = a - -0.04. Let n be 3/5*1 - 1. Put n, j, -5 in descending order. j, n, -5 Let h = 9 + -9.06. Let s = h - 0. Put s, 1, 3 in ascending order. s, 1, 3 Let y = 390 + -391. Let t(o) = o**3 - 5*o**2 + 5*o. Let z be t(4). Put -2, z, y in decreasing order. z, y, -2 Let s = -12.4 + 12. Put 3, 2/19, s, 1 in descending order. 3, 1, 2/19, s Suppose -2 = -5*g + 2*y, g + 3 = 2*y - 3. Suppose 5*n = 2*f - 18, 0 = 4*f - 0*f - n. Sort g, f, -3 in decreasing order. g, f, -3 Suppose -4*k + 15 = k. Suppose 0 = k*q - 7 - 5. Suppose 5*s - 20 = 4*g, -q*g - 3*s = -0*g + 20. Put g, 3, 2 in descending order. 3, 2, g Suppose -1 = -m - 0. Let u(a) = -a**2. Let l be u(0). Put 3, l, m in descending order. 3, m, l Suppose -4 = -4*l - 8. Let z = 0 + 5. Suppose b = 2*b - z. Sort -2, b, l in decreasing order. b, l, -2 Let w be (-3 + 5)*4/(-8). Put -1.3, -3, w in increasing order. -3, -1
{ "pile_set_name": "DM Mathematics" }
rt(567) - (sqrt(567) - sqrt(567)*-1))*-2))**2*5. 0 Simplify ((-6*(sqrt(1008) + 3 + 1) - (-1 + sqrt(1008)*-3 + (6*(sqrt(1008)*2 + sqrt(1008)) - sqrt(1008) - sqrt(1008)))) + 5)**2. 8208*sqrt(7) + 364212 Simplify 5 + (-6*(4 + sqrt(76) + 0 + 2) - (-5 + (sqrt(76) + 1)*1 + 3*sqrt(76)*-2))**2. 128*sqrt(19) + 1105 Simplify (sqrt(130)*-1*3*-5)/((sqrt(360) + (sqrt(360) - sqrt(360)*-3) - sqrt(360))*4). 5*sqrt(13)/32 Simplify (2 + sqrt(4)/((sqrt(4) - (sqrt(4) - sqrt(12)/sqrt(3)))/sqrt(2)) + (6*sqrt(80)/sqrt(4))/(sqrt(10)*-2*1))*-3. -6 + 6*sqrt(2) Simplify ((-2*sqrt(572)*3 - sqrt(572))/sqrt(11))/(sqrt(256) - (sqrt(256) - (sqrt(256) - (sqrt(256) - sqrt(256)*-3)*6))). 7*sqrt(13)/184 Simplify (-1*sqrt(170)*5*-6)/(sqrt(1440) + -5*-1*sqrt(1440))*5. 25*sqrt(17)/12 Simplify 3*(((sqrt(117) + 1)*-3 + (3*(sqrt(117) + -1 - sqrt(117)) - sqrt(117)))*1)**2*3. 1296*sqrt(13) + 17172 Simplify (6*-2*sqrt(315)*5)/((1*sqrt(200)/sqrt(4))/(sqrt(10) + (sqrt(90) + (sqrt(90) - sqrt(90)*-2) - sqrt(10)))). -2160*sqrt(7) Simplify (4*sqrt(756)*2*-4)/(-3*5*sqrt(77)/(-2*sqrt(11))). -128*sqrt(3)/5 Simplify ((sqrt(8) - (sqrt(128) - sqrt(32)))/sqrt(4) + (-1*sqrt(2) + 5)*1)**2 + (sqrt(8) + ((sqrt(32)*-1)/sqrt(4))**2 - (sqrt(128) + -1)**2*-1). -34*sqrt(2) + 170 Simplify 5 + -4*((-4*(sqrt(85)*-1 + sqrt(85)))/(sqrt(405) + sqrt(5)) - (5*((sqrt(425) + -1 - sqrt(425)) + -3))**2). 1605 Simplify (-3*(-1*sqrt(171)*1 - sqrt(171))*2)/((-6*sqrt(1350))/(sqrt(54)*-1)). 6*sqrt(19)/5 Simplify (((sqrt(63)/sqrt(3))/sqrt(3) + sqrt(7) + (-1 + sqrt(7))*2 + sqrt(7) + sqrt(112) + (sqrt(112) - (sqrt(112) + 2 + sqrt(112))) + 0)*4 + -4 + -5)**2. -1000*sqrt(7) + 3425 Simplify ((sqrt(784)*6 + (sqrt(2304)*4 - sqrt(2304)))/((-3*(sqrt(64) - (sqrt(64)*-3 + sqrt(64))))/sqrt(8)*-2))**2. 338/9 Simplify (4 + ((sqrt(96) + -5*sqrt(96) - sqrt(96))/sqrt(8))/(sqrt(294) - -3*sqrt(294) - sqrt(294)))*4. -20*sqrt(2)/21 + 16 Simplify 5 + (sqrt(100)/(sqrt(2)*1*-2))/(sqrt(90)*-3*3). sqrt(5)/54 + 5 Simplify (sqrt(684)*4)**2*-5 + sqrt(684) + sqrt(684) + 3*(sqrt(684) + 3)**2 - ((sqrt(171) + (5*-3*sqrt(171) - sqrt(171) - sqrt(171)))/(sqrt(36)*2))**2. -52945 + 120*sqrt(19) Simplify 4*(-5 + (-2 + (2 + sqrt(405) + 2)**2 - 1*((4*sqrt(405)*3)**2 - sqrt(405)))). -231624 + 324*sqrt(5) Simplify -4*(1*(sqrt(190) + 1*(-1*sqrt(190) - sqrt(190) - sqrt(190)) - ((sqrt(190)*2 + sqrt(190))*3 + sqrt(190))))/(-2*sqrt(1440) - (2*sqrt(810) - sqrt(810))). -16*sqrt(19)/11 Simplify (((-3*sqrt(405) + sqrt(405) + 4)*4 + (sqrt(405) - (-2*sqrt(405) + 2) - sqrt(405)) + 3)*-6)**2. -66096*sqrt(5) + 535284 Simplify -6*(1 + (-1 + 0 + (-6*sqrt(132)*1 - sqrt(132))/((sqrt(120)*-2)/sqrt(10)) + 5)**2). -1821/2 - 168*sqrt(11) Simplify 5 + (sqrt(637) + 0 + sqrt(637) + 0 + (sqrt(637) + 1 - sqrt(637)) + 3 + (1*sqrt(637)*-1 - (sqrt(637) + 1*(sqrt(637) + sqrt(637)*1))))**2. -112*sqrt(13) + 2569 Simplify (sqrt(99)/sqrt(12))/sqrt(11) + -2 + (sqrt(300) - (sqrt(300) - 2*sqrt(300))*1 - (sqrt(300) - ((sqrt(300) + 0 - sqrt(300)) + 5)))**2 + 1. 201*sqrt(3)/2 + 324 Simplify (3*sqrt(3) + 2 + sqrt(3) - (-1 + (sqrt(3) - sqrt(21)/sqrt(7))))**2 - (5 + 2*sqrt(147) + -4). 10*sqrt(3) + 56 Simplify ((-3 + 2*-2*sqrt(432)*2 - (5 + -2 + sqrt(432) + sqrt(432)*1 + sqrt(432) + -4)) + 3)**2. -264*sqrt(3) + 52273 Simplify (sqrt(18) - (sqrt(2592) - (sqrt(2592) + sqrt(2592)*6)) - (sqrt(882)*4 + sqrt(882)))/((5*sqrt(144)*-3 + sqrt(144))*5). -19*sqrt(2)/140 Simplify 4*5*(sqrt(704) + (sqrt(66)/(sqrt(6) - sqrt(6)*-2))**2)*-6. -960*sqrt(11) - 440/3 Simplify (5*5*(-2 + (-2 + sqrt(192))*-2))**2*-3 + -4. -1447504 + 120000*sqrt(3) Simplify (2*(5*sqrt(275)*3 + 4)*2*6 + 0)**2. 345600*sqrt(11) + 35649216 Simplify 1 + ((2*sqrt(2736)*3 + 4 + -1 + sqrt(2736))**2 - ((sqrt(2736)*-4*-2)**2 + -5))*-5. -2520*sqrt(19) + 205131 Simplify (((sqrt(1100) + -1)*5*-2)**2 - ((1 + sqrt(44)/sqrt(4))**2 - ((sqrt(11)*-2)**2 + -2)))*2. -4004*sqrt(11) + 220260 Simplify (sqrt(209) - sqrt(209)*-1*-5)/((2*sqrt(110))/sqrt(10)) + (sqrt(190)/((sqrt(810) + -2*sqrt(810) - sqrt(10)) + sqrt(10)) + 0 + -1)**2. -16*sqrt(19)/9 + 100/81 Simplify (-1*sqrt(65)*3 + sqrt(65)*1*5)/(-6*sqrt(180)/sqrt(81)). -sqrt(13)/2 Simplify ((2*-2*sqrt(330) + sqrt(330))/(sqrt(120)/sqrt(3)))/(-4*((sqrt(330) + -2*sqrt(330))/sqrt(10))/sqrt(11)). -3*sqrt(11)/8 Simplify -5*(2*sqrt(117)*-3 - ((3*sqrt(117)*-6)**2 + sqrt(117) + sqrt(117)))*2*-6 + 5. -2274475 - 1440*sqrt(13) Simplify (2 + ((-2 + sqrt(2299) + sqrt(2299) + 0 - sqrt(2299)) + (sqrt(2299) + 0)*-6 - ((sqrt(2299)*-2)**2 + 5)*-4) + 1)*6. -330*sqrt(19) + 220830 Simplify (-6*sqrt(26)/(4*sqrt(32)))**2 - (-1 + sqrt(78)/(-2*sqrt(6) - sqrt(6)) + -4). sqrt(13)/3 + 437/64 Simplify (-2*(sqrt(77) + (sqrt(77) - (sqrt(77) - (3*sqrt(77) - sqrt(77)))) + sqrt(77)) - (-1*sqrt(77) - sqrt(77))*-1)/(1*sqrt(7)*1*5*-2). sqrt(11) Simplify ((sqrt(539) + 0)*-3 + sqrt(539) + ((sqrt(539) + -1*sqrt(539) + 0)**2 - sqrt(539)) - -2*(sqrt(539) + 3 + -1)**2)*4. 140*sqrt(11) + 4344 Simplify (5*(-3*-2*(sqrt(66) - 1*sqrt(66)))/(sqrt(12)/(sqrt(14)/(sqrt(49)/sqrt(7)))))**2. 0 Simplify 2*((sqrt(288) + -2*sqrt(288) + sqrt(288) - sqrt(288))**2 + 0 - (-4 + (sqrt(288) + -2)**2)) + (-2 + -2 + sqrt(288) + 0)*2. -8 + 120*sqrt(2) Simplify (2 + 1*sqrt(80) + -3 + -1 + sqrt(80)*1 + 2 + 4)**2. 64*sqrt(5) + 336 Simplify 3 + (sqrt(288) - (-2*sqrt(288)*-2)**2) + -4 - (sqrt(160)/(-3*sqrt(10)))/(sqrt(72)/(-1*sqrt(9))). -4609 + 35*sqrt(2)/3 Simplify (-1*(-2 + ((0 + sqrt(832) + -1 - (1 + sqrt(832) + -1 - sqrt(832)))*-1 - (-1 + (1 + sqrt(832))*-5)*2)))**2. 1584*sqrt(13) + 67513 Simplify (-2 + -3 + (-4*(sqrt(128) + 1) - (1 + -1 + sqrt(128) + sqrt(128)))*-4)**2. 4224*sqrt(2) + 73849 Simplify (sqrt(1008) + 3*(sqrt(1008) + -1))*1 + -2 + (3*(-4 + -2 + sqrt(1008)))**2 + -5. -1248*sqrt(7) + 9386 Simplify (((sqrt(165)*-1 - sqrt(165))*-4)/(sqrt(176)*5))/((-2*sqrt(6)/sqrt(2) - sqrt(3))*1*-1). 2*sqrt(5)/15 Simplify 5 + sqrt(700) + sqrt(700) + -4 + (sqrt(700) - (1 + sqrt(700))*-2) + sqrt(700) + (0 + 5 + -2 + sqrt(700) + -2)**2. 80*sqrt(7) + 704 Simplify -1*(sqrt(144)*1*2 - (sqrt(144)*-1*-4 + sqrt(144)))/(3*sqrt(800)*5). 3*sqrt(2)/50 Simplify 4 + (-5 + (sqrt(176)*-2)/sqrt(4) - ((sqrt(99)*2*-3)**2 + 0))*-6. 24*sqrt(11) + 21418 Simplify -4 + (sqrt(255)/(sqrt(5) + sqrt(45)) - (sqrt(204) - -2*sqrt(204)))/(6*(sqrt(432) - sqrt(432)*-2 - -1*sqrt(9)/sqrt(3))). -4 - 23*sqrt(17)/888 Simplify ((-1 + (-4*(sqrt(2736) + 0) - (sqrt(2736)*1 + -1)))*6 + 1 + 2)**2. -2160*sqrt(19) + 2462409 Simplify (1*sqrt(2057)*-1*3 - (-5 + -1*-2*sqrt(2057)))**2*-4. -205800 + 2200*sqrt(17) Simplify 5 + ((-2*-1*sqrt(144))/sqrt(3))/(sqrt(48)/(sqrt(72)/(sqrt(18)/sqrt(2)))). 5 + 4*sqrt(2) Simplify 5 + (sqrt(1216) - ((sqrt(1216) + 1*sqrt(1216))**2 - sqrt(1216)))*1 + -3 + 5 + -4 + 5 + -2 + sqrt(1216) + 1. -4857 + 24*sqrt(19) Simplify ((3 + (sqrt(1800) + 4 + 0 + sqrt(1800) - sqrt(1800)) - sqrt(1800)*-2*3*2)**2 + -4)*-5. -1521225 - 27300*sqrt(2) Simplify (sqrt(32)/sqrt(2)*2)/(sqrt(72)/(sqrt(9)*-2)) + -5 - (sqrt(50)*3 - ((2*sqrt(128) + sqrt(2))**2 + sqrt(2)))*-2. -1161 + 24*sqrt(2) Simplify 6*(5 + ((-1*sqrt(288) - sqrt(288)) + sqrt(2) + sqrt(2)*2 + 5 - ((sqrt(8)/sqrt(4) + 3)**2 + sqrt(2) - sqrt(2)*1*-6)) + -2). -204*sqrt(2) - 18 Simplify ((sqrt(240)*1)/sqrt(6))/(sqrt(80)/(sqrt(40)/sqrt(4)) + sqrt(8) + sqrt(8) - sqrt(8)) - ((-1*sqrt(30))/sqrt(6) + -1 + sqrt(25)/sqrt(5)). 1 + sqrt(5)/2 Simplify ((-3*sqrt(98))/sqrt(2))/(sqrt(14)/(sqrt(2) + sqrt(6)/sqrt(3))) + -1 + (1*sqrt(175) + 1 - sqrt(175))**2 + 5. -6*sqrt(7) + 5 Simplify ((-4*(sqrt(96) - sqrt(96)*2)*3)/((-4*sqrt(128)*2 - sqrt(128))*-1))**2*-2. -8/3 Simplify (2 + (((sqrt(1053) - sqrt(1053)*-1*5)*5)**2 - 3*sqrt(1053)*2*-4))*6. 1296*sqrt(13) + 5686212 Simplify (((sqrt(132)*3 - sqrt(132) - sqrt(132))*6 + sqrt(132) + sqrt(132)*2*-1)/(3*-3*sqrt(12) - (sqrt(48) + sqrt(288)/sqrt(6))))**2. 275/169 Simplify 4*(1 + -5*(0 + sqrt(147)) + sqrt(147)*-3*1 + 5 + 2 + -1)**2. -3136*sqrt(3) + 37828 Simplify 4 + ((1*(sqrt(153) + -2) - (-2*sqrt(153) + -5))**2 - (0 + (sqrt(153) - sqrt(153)*-2) + sqrt(153) - (sqrt(153) + -1 + sqrt(153) + sqrt(153) + 0))*6). 36*sqrt(17) + 1384 Simplify 2 + ((-3*(sqrt(170)*-1 - sqrt(170))*-2)/(-2*(sqrt(10) + sqrt(90) - sqrt(10))*2) + 0)**2. 19 Simplify (3*-4*sqrt(891)*3 - ((sqrt(891) - (sqrt(891) + sqrt(891) + 2 + -2))**2 + -1)) + -3. -324*sqrt(11) - 893 Simplify 6*(-4*sqrt(36
{ "pile_set_name": "DM Mathematics" }
-4051.998351 + 4052. Round t to 4 decimal places. 0.0016 Let p = -17 - -17.065. Let n = p + -0.064987. What is n rounded to 5 dps? 0.00001 Suppose -2*v - y - 18254 = 3*v, 7296 = -2*v + y. What is v rounded to the nearest one hundred? -3700 Let i = -173.74 + 158. Let r = 0.26 - i. Let f = r - 17.6. What is f rounded to 0 decimal places? -2 Suppose c - 2*f + 2 - 14 = 0, 2*c = -3*f - 11. Suppose c*y - 2*o + 44 = -3*y, -3*y + o - 26 = 0. Let s = 108 + y. Round s to the nearest 1000. 0 Let q = 29 - 27. Let y(g) = 250001*g**2 + g - 6. Let l be y(q). What is l rounded to the nearest 1000000? 1000000 Let n = -405.166 + 401.7. What is n rounded to zero decimal places? -3 Let a = -224.599 - 0.401. Let j = a + 756. Let v = j - 564.9. What is v rounded to 0 dps? -34 Let i = 97 + -139. Let g = -42.0003 - i. Round g to 5 decimal places. -0.0003 Let u(x) = 186739*x**2 - 10*x - 7. Let g = 10 - 2. Let d be u(g). Suppose 2*o + 6248791 + d = 0. What is o rounded to the nearest one million? -9000000 Let t = -1374 + 952. Let c = t - -466.2. Round c to the nearest 10. 40 Suppose -2*c = 2*l + 4, -2*c - 2 + 4 = 4*l. Let m be 130/2 + l/((-6)/(-4)). What is m rounded to the nearest 10? 70 Let p = -1.4585 + 1.58. Let f = p - 0.16. Round f to 2 decimal places. -0.04 Let d = 0.825 + -1. Let b = d + 10.795. Let g = 3.28 + b. What is g rounded to 0 dps? 14 Let u = 48.68334386 + 0.31664884. Let a = -49 + u. What is a rounded to six dps? -0.000007 Let f = -12612.800032 - -12613. Let k = f + -0.2. Round k to 5 dps. -0.00003 Let l = 0.57 + -0.659. Let y = l - -0.088918. Round y to 5 dps. -0.00008 Let v = 0.21 - 0.08. Let f = 0.21 - v. Let k = 1.28 - f. What is k rounded to zero dps? 1 Let l be -3 - -3 - 20300/(-29). Let z = -4 - -8. Suppose 76 = -z*n - l. What is n rounded to the nearest 10? -190 Let b = -47.783 + 47.804277. Let j = -2.008023 - b. Let c = j - -2.02. Round c to three dps. -0.009 Suppose 0 = 5*k - 1696 - 449. Round k to the nearest one hundred. 400 Let x be -75*10*(3 - (-178756)/(-12)). What is x rounded to the nearest one million? 11000000 Let x = -2.72 - -1.59. Let k = -0.972 - x. Let l = k + -0.13. Round l to 2 decimal places. 0.03 Let l be 0 + 2 + -2 - 132/(-11). Suppose l*k = 20*k - 47200. What is k rounded to the nearest one thousand? 6000 Let u = 32 + -32. Suppose 3*j + u = 3, 4597 = p - 3*j. Round p to the nearest one thousand. 5000 Let y = 135 - 134.9921. Let u = y - 0.02. Round u to 3 dps. -0.012 Let d(y) be the first derivative of y**4/4 + 6*y**3 - 9*y**2/2 + 4*y + 7. Let m be d(-16). Round m to the nearest 100. 700 Let z = 527.4001866 + -0.0711866. Let h = -527 + z. Let y = 0.3290141 - h. Round y to 6 dps. 0.000014 Let y(g) = g**2 - 5*g + 52. Suppose 0 = -3*l + 7*t - 4*t - 60, -20 = l + 5*t. Let k be y(l). Round k to the nearest 100. 600 Let u = -6 + 6.86. Let a = u + -1.49. Let s = 1.11 - a. What is s rounded to 1 decimal place? 1.7 Suppose 0 = 2*z + 4*b + 38, 15 = 2*z - 3*b + 88. What is z rounded to the nearest 10? -30 Let f = -5.2 + 73.2. Let g = f - 67.67. What is g rounded to zero decimal places? 0 Suppose 2*l - 3*o = 52, 0 = -3*l + l + o + 56. Suppose 0 = 2*a - l + 11. Suppose -a*g = -4*g - 1150. What is g rounded to the nearest 100? 200 Let p = -1.13858 - -1.116. Round p to two dps. -0.02 Let d = -49638 - -33775. Let s = -5792 - d. Suppose -4*c = -1529 - s. What is c rounded to the nearest one thousand? 3000 Let j be (18/5)/(4/60). Let x = j - -188. Let b be (1*x)/(1 + 1). What is b rounded to the nearest ten? 120 Suppose -6*u - 6252085 - 5968139 = 0. Let y = u + 1384704. What is y rounded to the nearest 10000? -650000 Let f = 251 + -321.2. What is f rounded to the nearest 10? -70 Let b = -0.00600034 + 0.006. Round b to seven decimal places. -0.0000003 Let i(o) = 2*o**2 + 10*o + 10. Suppose -42 = 10*s - 4*s. Let x be i(s). Round x to the nearest ten. 40 Let s be (4/10)/((-3)/105). Let r = -14 - s. Suppose -m + 489 - 2089 = r. What is m rounded to the nearest one hundred? -1600 Let q = -159.6 - -159.600001004. What is q rounded to 7 dps? 0.000001 Let h = -52.74 - 8749.26. Let q = h - -8801.96277. Let o = -0.037 - q. What is o rounded to 4 decimal places? 0.0002 Suppose -3*q = -115928 - 9454072. Round q to the nearest 100000. 3200000 Let o = -1748 - -1775.56. Round o to the nearest ten. 30 Let m be 3 - ((-6)/(-2) + 18). Let r be 14/1*(-2565)/m. Suppose 0*i + 5*h - 395 = i, -5*h + r = -5*i. Round i to the nearest 1000. 0 Let c(l) = 577*l**3 - l**2 + 4*l. Suppose 4*f + 2*o - 5*o + 4 = 0, 5*o - 12 = 4*f. Let w be c(f). Round w to the nearest 1000. 5000 Let y = 752.6 + -830. Round y to the nearest ten. -80 Let i = -14 + 36. Let o = i - 21.1. Let a = o - 0.899912. Round a to 5 dps. 0.00009 Let c = 0.024 - 641.024. Let s = c + 640.683. What is s rounded to two decimal places? -0.32 Suppose 6*u - 5 = -17. Let i be u/6 + (-1860)/(-45). Round i to the nearest 10. 40 Let s = 72.19 - 72. Let n = 1086123.8099964 + -1086124. Let o = s + n. Round o to 6 decimal places. -0.000004 Let p = 7387046540 + -7387046605.00000098. Let a = -63.61 + -1.39. Let m = a - p. Round m to 7 dps. 0.000001 Suppose -g - 3*s + 6 = 0, 2*g - 72 = -2*g + 4*s. Suppose -5*b = -g, 4*y + y - 2*b - 349994 = 0. What is y rounded to the nearest 100000? 100000 Let p = 0.023 - 0.023. Let x = p + 0.372. Round x to two decimal places. 0.37 Let j = -0.177 - -64.277. Let g = j - 67. What is g rounded to the nearest integer? -3 Let a(h) be the second derivative of -18611*h**4/12 - 2*h**2 + 10*h. Let t be a(6). What is t rounded to the nearest one hundred thousand? -700000 Suppose 12*b = 15*b - 237. Suppose -3*a - 3*x + 549 = 0, -843 = -5*a + 2*x + b. What is a rounded to the nearest 10? 180 Suppose 42465 = -20*r - 175735. What is r rounded to the nearest one thousand? -11000 Let u = 60.13 - 1.13. Let n = 70.4 - u. What is n rounded to 0 decimal places? 11 Let v be (3 - (0 - -1))*67. Suppose 6*j - j + y - v = 0, -y = -j + 28. Round j to the nearest integer. 27 Let u = -0.23 + -9.77. Let k = u - -45. Let r = k + -34.12. Round r to one dp. 0.9 Let v be 46/(-9)*(-144)/32. What is v rounded to the nearest 100? 0 Let x = -208 - -206.45. Round x to 0 decimal places. -2 Let w(i) = -i. Let c be w(-2). Suppose -20653590 = -c*q + d, -4*d + 2*d = -q + 10326801. Suppose -3126793 + q = 5*a. Round a to the nearest 100000. 1400000 Let a = 132597020 - 41587020. What is a rounded to the nearest 1000000? 91000000 Let t = 2.11 - 96.11. Let i = t - -94.0000077. What is i rounded to 6 decimal places? 0.000008 Let r = -18128121 - -10819121. Round r to the nearest one million. -7000000 Let y = -18.7 + 18.619. Let d = y + 0.08100168. Round d to 7 decimal places. 0.0000017 Suppose 3*m - 1566 = 3*y, m + 0*y = -y + 518. Let c be (-2 + -1)*1*m/(-6). Round c to the nearest 100. 300 Let t be -11 + (132166 - -7) + -2. What is t rounded to the nearest 10000? 130000 Let t(g) = 16*g. Let h be t(-1). Let y = h - -20. Suppose 0 = -2*n - y*c + 11999992, -2*n + c = -3*c - 12000008. Round n to the nearest one million. 6000000 Let p(m) = m + 2. Let v be 22 + -20 + (-4)/2. Let y be p(v). Suppose -20 = -5*t - 0*t, 3*t + 204 = -y*j. What is j rounded to the nearest 10? -110 Suppose 0 = -4*d - y + 14215996, 4*d - y - 14215980 = -6*y. Round d to the nearest one hundred thousand. 3600000 Let k = 14.7 + -15.2. What is k rounded to 1 decimal place? -0.5 Let s = -714 + 713.999998607. Round s to 7 decimal places. -0.0000014 Let y be ((-2)/(-5))/(4/8390). Let v(c) = c**2 - 5*c + 4. Let t be v(4). Suppose 5*u + 3189 - y = t. What is u rounded to the nearest 100? -500 Suppose 0 = 5*l + 2*t, 0 = l + t - 0*t + 3. Let k be -3 + (l - 28004/(-4)). Round k to the nearest ten thousand. 10000 Let z = 3089.43 - 3106. Let n = z - 0.43. Let l = -17.0000092 - n. Round l to 6 decimal places. -0.000009 Let k = -7.8 - 147.2. Let g = k + 154.644. Let o = -1.786 - g. What is o rounded to 1 dp? -1.4 Let w = 40 + -29. Let y = 10.845 - w. What is y rounded to two decimal places? -0.16 Let z = -1711.5 - -1240. Round z to the nearest 100. -500 Let i = -0.22 - 0.0645. Round i to 1 decimal place. -0.3 Suppose -131250616 = -2*s + 78749380. Let p be 7/(49/s) - (-4)/14. What is p rounded to the nearest 1000000? 15000000 Let d = 12670 - -3563. Suppose -3*u + 16090 = 2*k, 5
{ "pile_set_name": "DM Mathematics" }
22175523, 22175527, 22175531, 22175535, 22175539? 4*v + 22175519 What is the r'th term of -51691, -96999, -142295, -187573, -232827, -278051, -323239? r**3 - 45315*r - 6377 What is the u'th term of -33344, -66617, -99896, -133181, -166472? -3*u**2 - 33264*u - 77 What is the q'th term of -1601494, -1601544, -1601594, -1601644, -1601694? -50*q - 1601444 What is the i'th term of -14501, -30572, -57357, -94856? -5357*i**2 - 9144 What is the k'th term of -18793, 2560, 23913, 45266? 21353*k - 40146 What is the m'th term of -202141, -404264, -606387, -808510? -202123*m - 18 What is the l'th term of 2178, 8120, 17828, 31302, 48542, 69548, 94320? 1883*l**2 + 293*l + 2 What is the a'th term of 103820, 103905, 104046, 104243, 104496, 104805? 28*a**2 + a + 103791 What is the s'th term of 16577, 33887, 51197? 17310*s - 733 What is the b'th term of -87866, -87745, -87560, -87311? 32*b**2 + 25*b - 87923 What is the j'th term of 413874, 413888, 413890, 413874, 413834, 413764, 413658? -j**3 + 21*j + 413854 What is the x'th term of -8539, -16924, -25317, -33718, -42127, -50544? -4*x**2 - 8373*x - 162 What is the o'th term of -12517, -49942, -112299, -199588, -311809? -12466*o**2 - 27*o - 24 What is the m'th term of -553, -4679, -12375, -23641? -1785*m**2 + 1229*m + 3 What is the j'th term of -125425, -125418, -125409, -125398, -125385? j**2 + 4*j - 125430 What is the z'th term of 335068, 670137, 1005206, 1340275? 335069*z - 1 What is the s'th term of 675, 875, 597, -159, -1393? -239*s**2 + 917*s - 3 What is the d'th term of 131815898, 263631799, 395447700? 131815901*d - 3 What is the s'th term of 145639, 146379, 147117, 147853, 148587, 149319? -s**2 + 743*s + 144897 What is the d'th term of -10321, -9488, -8657, -7828, -7001, -6176? -d**2 + 836*d - 11156 What is the n'th term of 65488, 131370, 197252, 263134, 329016? 65882*n - 394 What is the d'th term of -6928, -14608, -22288, -29968? -7680*d + 752 What is the z'th term of 2494, 4968, 7444, 9922, 12402? z**2 + 2471*z + 22 What is the x'th term of -6081, -6950, -9283, -13812, -21269? -122*x**3 - 15*x - 5944 What is the v'th term of 161070, 160895, 160720? -175*v + 161245 What is the s'th term of -91286, -91317, -91378, -91463, -91566? s**3 - 21*s**2 + 25*s - 91291 What is the x'th term of 13938, 23965, 33992, 44019? 10027*x + 3911 What is the b'th term of 1958, 3254, 4566, 5900, 7262, 8658? b**3 + 2*b**2 + 1283*b + 672 What is the g'th term of -1723109, -1723114, -1723117, -1723118, -1723117? g**2 - 8*g - 1723102 What is the j'th term of 78854, 78895, 78970, 79097, 79294, 79579, 79970? 3*j**3 - j**2 + 23*j + 78829 What is the s'th term of 616871, 616652, 616437, 616232, 616043, 615876? s**3 - 4*s**2 - 214*s + 617088 What is the w'th term of 6140, 12494, 19056, 25820, 32780, 39930, 47264? -w**3 + 110*w**2 + 6031*w What is the j'th term of -373, 622, 2279, 4598? 331*j**2 + 2*j - 706 What is the p'th term of -5895, -11916, -17943, -23976? -3*p**2 - 6012*p + 120 What is the t'th term of 1295611, 1295616, 1295621, 1295626, 1295631, 1295636? 5*t + 1295606 What is the w'th term of 2551, 11773, 36821, 85609, 166051, 286061, 453553, 676441? 1319*w**3 - w**2 - 8*w + 1241 What is the t'th term of 10190, 13319, 16448? 3129*t + 7061 What is the h'th term of -3763, -3789, -3829, -3877, -3927? h**3 - 13*h**2 + 6*h - 3757 What is the z'th term of 4157, 6654, 5837, 50, -12363, -33058? -276*z**3 - z**2 + 4432*z + 2 What is the p'th term of 8588, 9126, 10024, 11282, 12900, 14878, 17216? 180*p**2 - 2*p + 8410 What is the l'th term of -4555, -18369, -41425, -73723, -115263? -4621*l**2 + 49*l + 17 What is the c'th term of -2676508, -2676525, -2676550, -2676583, -2676624, -2676673? -4*c**2 - 5*c - 2676499 What is the v'th term of -2892876, -5785746, -8678616? -2892870*v - 6 What is the l'th term of 800, 483, 96, -361, -888, -1485, -2152? -35*l**2 - 212*l + 1047 What is the v'th term of 791, 8884, 32887, 81404, 163039, 286396? 1434*v**3 - 649*v**2 + 2*v + 4 What is the x'th term of 76304, 76304, 76306, 76310? x**2 - 3*x + 76306 What is the k'th term of -957, -1038, -1125, -1218, -1317? -3*k**2 - 72*k - 882 What is the j'th term of -13161, -26206, -39251, -52296, -65341, -78386? -13045*j - 116 What is the h'th term of 167887722, 167887723, 167887724, 167887725? h + 167887721 What is the h'th term of 14289, 21753, 29217, 36681, 44145? 7464*h + 6825 What is the c'th term of 437, 1018, 1741, 2606? 71*c**2 + 368*c - 2 What is the o'th term of 2932, 5879, 8794, 11659, 14456, 17167, 19774? -3*o**3 + 2*o**2 + 2962*o - 29 What is the s'th term of 187754, 375522, 563290, 751058? 187768*s - 14 What is the j'th term of -81295, -163883, -246473, -329065, -411659? -j**2 - 82585*j + 1291 What is the o'th term of 315878, 315817, 315756, 315695? -61*o + 315939 What is the a'th term of 288304950, 288304949, 288304948, 288304947, 288304946, 288304945? -a + 288304951 What is the k'th term of -8824, -12476, -16126, -19774? k**2 - 3655*k - 5170 What is the p'th term of 363041820, 363041818, 363041816, 363041814, 363041812? -2*p + 363041822 What is the a'th term of -135063, -136147, -137231? -1084*a - 133979 What is the t'th term of 15966, 64170, 144546, 257094? 16086*t**2 - 54*t - 66 What is the w'th term of 925, 3830, 8943, 16486, 26681? 37*w**3 + 882*w**2 + 6 What is the m'th term of -36584, -73332, -110082, -146834, -183588, -220344, -257102? -m**2 - 36745*m + 162 What is the y'th term of 2576, 9826, 21916, 38846? 2420*y**2 - 10*y + 166 What is the f'th term of 57460, 114293, 171126? 56833*f + 627 What is the v'th term of -1126792, -1126782, -1126768, -1126750, -1126728, -1126702? 2*v**2 + 4*v - 1126798 What is the g'th term of 689533, 689548, 689563, 689578, 689593? 15*g + 689518 What is the t'th term of -14088, -14013, -13942, -13875? -2*t**2 + 81*t - 14167 What is the p'th term of 24479, 24061, 23357, 22361, 21067, 19469, 17561, 15337? -p**3 - 137*p**2 + 24617 What is the f'th term of 31515669, 31515679, 31515689, 31515699, 31515709? 10*f + 31515659 What is the n'th term of 16279262, 32558515, 48837762, 65117003? -3*n**2 + 16279262*n + 3 What is the f'th term of 1719, 2130, 2823, 3792, 5031, 6534, 8295, 10308? -f**3 + 147*f**2 - 23*f + 1596 What is the b'th term of 19932, 39583, 58696, 77001, 94228? -45*b**3 + b**2 + 19963*b + 13 What is the d'th term of 2223892, 2223884, 2223876, 2223868, 2223860? -8*d + 2223900 What is the r'th term of 42, -921, -3568, -8751, -17322, -30133? -142*r**3 + 10*r**2 + r + 173 What is the u'th term of -4353, -4019, -3685? 334*u - 4687 What is the z'th term of -3434355, -3434385, -3434437, -3434511? -11*z**2 + 3*z - 3434347 What is the h'th term of -55835, -56792, -57749, -58706? -957*h - 54878 What is the k'th term of -12197551, -24395102, -36592651, -48790198, -60987743, -73185286? k**2 - 12197554*k + 2 What is the z'th term of 148, -364, -2162, -5888, -12184, -21692? -107*z**3 - z**2 + 240*z + 16 What is the z'th term of -1884, -6700, -14740, -26004, -40492? -1612*z**2 + 20*z - 292 What is the p'th term of 137915, 275827, 413745, 551669, 689599, 827535? 3*p**2 + 137903*p + 9 What is the l'th term of 435, 3216, 10759, 25446, 49659? 397*l**3 - l**2 + 5*l + 34 What is the b'th term of 79794, 160294, 240796, 321300, 401806, 482314? b**2 + 80497*b - 704 What is the z'th term of 328249, 654822, 981395, 1307968, 1634541? 326573*z + 1676 What is the n'th term of 626032, 626073, 626114, 626155, 626196? 41*n + 625991 What is the f'th term of -1798347, -1798224, -1798101, -1797978, -1797855, -1797732? 123*f - 1798470 What is the s'th term of 7701, 14633, 20817, 26259, 30965, 34941? s**3 - 380*s**2 + 8065*s + 15 What is the w'th term of -372, -2048, -6198, -14058, -26864, -45852, -72258? -206*w**3 - w**2 - 231*w + 66 What is the j'th term of 59425, 118766, 178105, 237442? -j**2 + 59344*j + 82 What is the r'th term of -23625213, -47250420, -70875627, -94500834, -118126041, -141751248? -23625207*r - 6 What is the w'th term of -7974438, -7974440, -7974442, -7974444, -7974446, -7974448? -2*w - 7974436 What is the a'th term of -62683353, -250733397, -564150137, -1002933573? -62683348*a**2 - 5 What is the q'th term of 156, 385, 1050, 2379, 4600, 7941, 12630, 18895? 38*q**3 - 10*q**2 - 7*q + 135 What is the w'th term of -5770, 2630
{ "pile_set_name": "DM Mathematics" }
2*d + 363, -3*d - u = -2*b. Calculate the highest common divisor of b and 12. 12 Let m(n) = -2*n - 4. Let r be m(-2). Suppose 3*s - 57 = 2*t, 3*t + 2*t = r. Calculate the greatest common factor of 19 and s. 19 Suppose 0 = 5*c - 69 - 86. Suppose -3*t + 2*t = -c. Suppose 8 - t = -r - 2*i, 4*i = 4. What is the highest common divisor of 7 and r? 7 Let h = 56 + -30. Calculate the highest common factor of 39 and h. 13 Let y = 32 + -46. Let b = y + 27. Let v be -2*(-2 - (-36)/(-8)). What is the greatest common divisor of v and b? 13 Let z(h) = h**2 - 1. Let n be z(0). Let q be 1 - 1/1 - n. Suppose 4*d - 7*d + 3*j + 18 = 0, 0 = d + 3*j - 10. Calculate the greatest common divisor of q and d. 1 Let h = 35 + -21. Calculate the highest common divisor of h and 98. 14 Suppose 4*h - 54 = 2*h. Let m = h + 15. Let b = m + -16. Calculate the highest common divisor of 13 and b. 13 Let l(b) = -b. Let g be l(-6). Suppose 3*w = g*w - 330. What is the greatest common factor of w and 10? 10 Let j(o) = o - 4. Let k be j(7). Suppose 5*r - 61 = -4*f, -k*f = 2*f + 4*r - 65. What is the highest common factor of 36 and f? 9 Suppose -4*t + t - 9 = 0. Let b be (-1)/(t*1 - -2). Suppose 0 = -p + b + 8. What is the greatest common divisor of p and 72? 9 Let z(b) = -3*b - 1. Let i be (-13)/(-2)*(-2 + 6). Suppose 4*h - 5 = -3*r - i, -h = 3*r + 12. Let q be z(r). What is the highest common factor of q and 4? 4 Suppose 4*q = 79 + 65. Suppose 0 = -5*t - 20, -2*c + t = 4*t - q. Calculate the highest common divisor of 24 and c. 24 Suppose b - 54 = -b. Let t = -18 - -36. What is the highest common divisor of b and t? 9 Suppose 5*g - 17 = -2*f + 21, -5*g = -3*f + 32. Let k = f - 9. Let v be (5/2)/(4/8). Calculate the greatest common divisor of k and v. 5 Let w(f) = 2*f - 3 + 5*f + 2 - f**2 - 2. Let k(h) = h - 2. Let d be k(6). Let b be w(d). Calculate the greatest common factor of b and 81. 9 Let r(d) = -3*d**3. Let s be r(-1). Let b = s - 1. Calculate the highest common factor of 3 and b. 1 Let m = -8 - -26. Suppose 0 = -3*t + 2*s + 23 - 6, s + 10 = 2*t. Suppose 2*g - h - 35 - 18 = 0, 3 = t*h. What is the greatest common divisor of g and m? 9 Suppose 0*k + 4*k = -12. Let a be 14 + k/(-3) - 1. Calculate the greatest common divisor of a and 154. 14 Let p = 26 + -21. Suppose -m - p = -7. Calculate the highest common divisor of m and 3. 1 Suppose -h = -2*h + 312. Let x(o) = -o**3 - 10*o**2 + 9*o + 17. Let j be x(-11). What is the greatest common factor of h and j? 39 Let p(x) = -x + 8. Let t be p(6). Let v(y) = 56*y. Let b be v(t). Calculate the highest common factor of b and 16. 16 Let t(u) be the third derivative of -u**4/3 - u**3/2 - u**2. Let a be t(-2). Let x = 31 + a. What is the greatest common factor of 4 and x? 4 Suppose -24 = -3*j + 15. What is the highest common divisor of 117 and j? 13 Suppose -240 = -0*l - 5*l + m, 5*l - 240 = 5*m. What is the greatest common factor of l and 6? 6 Let c(g) = -2*g - 5. Let y be c(-10). Suppose 0*v + v = y. Calculate the greatest common factor of v and 3. 3 Let o be 82 + (-3)/(-6)*4. Let d = o + 14. Calculate the highest common factor of d and 14. 14 Suppose 2 = -4*c + 5*c. Calculate the highest common divisor of c and 16. 2 Suppose -5*l + 35 = -5*n, -8 = -l - 0*l + 2*n. Let w be (-8)/3*45/(-2). Calculate the greatest common factor of l and w. 6 Suppose -60 = -2*b + 4. Let w be (-6)/(-9)*(174 + 3). Suppose 0 = 5*m - b - w. What is the greatest common factor of 12 and m? 6 Let z(n) = 34*n - 16. Let w be z(5). Suppose -2*j + 38 + 6 = 0. What is the greatest common divisor of j and w? 22 Let r(u) = -5*u + 5. Let l be r(-6). What is the greatest common factor of 5 and l? 5 Suppose -3*g = -y + 10, 2*y + 2 = -0*y - 5*g. Let s be (2 + 0 - 1)*28. Calculate the greatest common divisor of s and y. 4 Let h = -10 + 20. What is the greatest common factor of h and 2? 2 Let g(p) = 46*p**3 + 2*p**2 - p + 2. Let m be g(2). Suppose 2*b - m = -3*a - 0*a, b + 127 = a. Let h = 35 + -21. What is the greatest common factor of h and a? 14 Suppose 0 = 2*a + 4 + 2. Let r(v) = -v**3 - v**2 - v + 1. Let i be r(a). What is the highest common divisor of i and 55? 11 Let l be ((-6)/(-4))/(3/(-6)). Let n be 2/2*(14 + l). Let f be (39/12 + -3)*4. Calculate the highest common factor of f and n. 1 Suppose -5*l + 687 = -78. Let h(s) = -3*s**2 + s. Let b be h(1). Let r be (10/(-5))/(b/17). Calculate the greatest common factor of r and l. 17 Let h = 144 + -46. What is the greatest common factor of 14 and h? 14 Let r = 21 + -17. Suppose 33 - 5 = r*k + 2*q, 4*q - 38 = -5*k. What is the greatest common factor of k and 30? 6 Suppose -3*m = t - 22, 0 = -4*t - 0*t - 3*m + 97. Calculate the highest common factor of 15 and t. 5 Suppose y = 2*y - 5. Suppose y*i - 1 = 39. Suppose 5*s + 0*s - 60 = 0. Calculate the greatest common factor of s and i. 4 Let v = -6 - -4. Let x = v + 6. What is the greatest common factor of x and 36? 4 Let g(k) = 27*k - 12. Let o be g(1). What is the highest common divisor of o and 120? 15 Suppose 3*h + 0*h = 4*x - 37, -5*x = h - 70. Let n(k) = k**2 + k - 3. Let p be n(6). Calculate the highest common divisor of p and x. 13 Suppose 0*x = x - 9. Let g be 4 + -3*(-3)/x. Suppose -2*p = -g*p + 36. Calculate the greatest common divisor of p and 48. 12 Suppose -2*t = 3*w + 2*w - 3937, 0 = -3*w + 4*t + 2383. Let v be w/9 + (-2)/(-6). What is the greatest common factor of v and 8? 8 Let z be 5/(-1)*(-3)/15. Let a = z - 1. Suppose -u - k + 10 = 0, a = 4*u + 5*k - 2*k - 40. What is the greatest common divisor of 70 and u? 10 Let p be 3 - (-2 + 2/1). What is the highest common divisor of p and 3? 3 Suppose -3*j = j - 64. Let b be 28/49*7*1. What is the highest common divisor of j and b? 4 Let g be ((-5)/2)/((-1)/2). Suppose 0 = q + 1031 - 1051. What is the greatest common divisor of q and g? 5 Let v = -127 - -144. Calculate the highest common factor of v and 272. 17 Suppose -5*b + b = -48. What is the highest common divisor of 36 and b? 12 Let f(d) = d**2 + 7*d - 6. Let j be f(6). Suppose 0 = -5*r + 2*u + j, -2*u - 44 = -4*r + 3*u. Calculate the highest common divisor of 8 and r. 8 Let f be (-62)/3*1/(10/(-15)). Calculate the greatest common divisor of f and 217. 31 Let m(x) = x**2 - 3*x - 11. Let q be m(6). What is the greatest common divisor of 77 and q? 7 Let w = -3 - -5. Suppose -2*q = -w - 18. Let v be 23 - 1*-2*1. Calculate the highest common divisor of v and q. 5 Let t = 48 + -43. Calculate the greatest common divisor of t and 35. 5 Let z be (0/1 + 1)*1. Let f be (-1)/(-2)*20/z. Let k be 10/(-25) - (-124)/f. What is the greatest common factor of 24 and k? 12 Suppose -13*r + 740 = 24*r. Let y(t) = t**2 + 4*t - 4. Let c be y(-6). What is the greatest common factor of r and c? 4 Let u be 3/(-6*(-2)/280). Suppose 0 = 2*q + 3*q - u. Let a be -5 + 1232/20 - (-3)/(-5). Calculate the highest common divisor of q and a. 14 Let q(o) = -8*o - 10. Suppose 0 = l - 4*r + 23, 2*l = -0*r - 3*r - 13. Let v be q(l). Calculate the highest common factor of 13 and v. 13 Suppose 2*j = -j + 6. Suppose 0 + 4 = j*h. Let g be 49/h + 1/(-2). What is the greatest common divisor of g and 6? 6 Let i = 39 - 22. What is the highest common divisor of 34 and i? 17 Let s be ((-26)/(-6))/((-2)/(-6)). Suppose v = 38 + 105. What is the greatest common factor of s and v? 13 Let a = -4 + 12. Let u be a - (2 + 1)/3. Calculate the highest common factor of u and 21. 7 Suppose 0 = 4*n - 3*n - 10. Let m be n/25 + (-18)/(-5). Suppose 0 = -o - 2*o + 30. What is the greatest common divisor of o and m? 2 Suppose -2*r - 45 = -2*w - 3*r, -w - 4*r = -33. Suppose -6 + w = 3*g + 3*p, -5*g - 2*p + 16 = 0. Calculate the greatest common divisor of g and 6. 2 Let l be (-4908)/(-18) - (-2)/(-3). Let v be (0 + -2)/2 - -35. What is the highest common divisor of l and v? 34 Let m(d) = -d - 7. Let t = -14 + 7. Let i be m(t). Suppose i = 4*v + 3*x - 51, x - 5*x - 12 = 0. What is the greatest common divisor of 3 and v? 3 Suppose -7*s + 2*i + 12 = -3*s, -i - 10 = -3*s. Let z be (-5 + 1)/((-2)/s). Let t = 0 - -1. What is the highest common factor of z and t? 1 Let m be (-1)/(-3) + 141/9. Let g(s) = -8*s + 8. Let f be g(-13). Calculate the greatest common factor of m and f. 16 Let f(n) = -4*n - 9. Let k be f(-10). What is the highes
{ "pile_set_name": "DM Mathematics" }
- 37*o + (2*o + 0*o + 0*o)*(-6 + 3 + 1) - 2*o + 0*o + 3*o to c*o + i and give c. -72 Express (-1 + 5 - 3)*(-19*y + 19*y + 14*y) as j*y + p and give j. 14 Rearrange (0 + 1 + 0)*(2*u**2 - 6*u + 291 + 295 - 598 + (u - u - u)*(0 - 2*u + 0)) to j + i*u + r*u**2 and give j. -12 Express -125*b - 78*b - 21*b + 15*b as k + a*b and give a. -209 Rearrange (-5*i - 2 + 0 + 4)*(4*i**3 - 5*i**3 + 2*i**3) + i**4 + 0*i**4 + 0*i**4 to p*i**4 + x*i**3 + u + h*i**2 + w*i and give h. 0 Rearrange (3 - 5 + 0)*(-14 + 14 + 6*o) to n + d*o and give n. 0 Express (-p - 5*p + 2*p)*(2*p + p - 2*p) in the form a + s*p + x*p**2 and give x. -4 Express (-3*d + d + d + (-d + 4*d - 2*d)*(1 + 0 - 3))*(3*d**3 + 2*d**3 - 3*d**3) as s*d**4 + g*d**2 + h + r*d**3 + n*d and give s. -6 Rearrange (-30*i - 97 + 63*i - 32*i)*(1 + 2 - 2) to the form q*i + z and give q. 1 Rearrange -36*j + 62*j + 165*j to the form d + g*j and give g. 191 Rearrange (5 + 0 - 4)*(-5*a - a + 4*a) - 157 - 2*a + 87 + 81 to x + h*a and give x. 11 Express -5*n**2 + n**3 + 0*n**4 + 33 + 2*n**4 - 31 as l*n + y*n**4 + s + p*n**3 + o*n**2 and give o. -5 Rearrange d**4 + 2*d**2 - 2 + 3*d + 3*d - 4*d + 7*d**3 + 8*d**3 to the form u*d**2 + m*d**3 + n*d**4 + s + y*d and give m. 15 Express -s - 5*s + 2*s - 2*s in the form i*s + n and give i. -6 Rearrange 5 - 5 - m**2 + (-2*m + 25 - 25)*(-3 + 3 + m) to the form t*m + d*m**2 + w and give w. 0 Express (-y + 3*y - 3*y)*(-4 + 4 - y) + 16*y**2 + 21*y**2 - 1 - 51*y**2 as p*y**2 + i + n*y and give p. -13 Rearrange -2*g**4 + 1576*g - 2*g**3 - 7*g**4 - 1579*g - 2*g**2 to s + l*g + v*g**4 + z*g**3 + x*g**2 and give v. -9 Rearrange (-361 + 14*o + 361)*(-1 + 13*o - 1 + 2) to the form z*o**2 + f*o + s and give z. 182 Rearrange -2*t - 2*t + t - 6*t - 3 to the form u + w*t and give u. -3 Rearrange 3 + 19*z**2 - 7 - 36*z**2 + 24*z**2 to o*z + f*z**2 + g and give o. 0 Express 1 - 7*q - 1 - 10*q in the form w*q + c and give w. -17 Rearrange (-41*n + 154 - 154)*(-6*n**3 + 19 - 19 + n) to w*n**3 + v*n + j + a*n**2 + p*n**4 and give j. 0 Rearrange -98*c**3 + 9*c**3 - 4*c + 5*c to the form u*c + n*c**2 + i + z*c**3 and give z. -89 Express (-u + 8*u + 8*u)*(u + 0*u - 4 + u)*(0 + 4 - 2) in the form q*u**2 + m*u + i and give m. -120 Express -i - 12 + 3*i + 15 + 13 as a*i + s and give a. 2 Express n - 8*n + 5 + 1 in the form d + u*n and give d. 6 Rearrange q + 3 + 2*q**4 + 0*q**4 - q**4 to w + s*q**3 + y*q**4 + g*q + o*q**2 and give g. 1 Rearrange (2*b**2 + 3*b**2 - 3*b**2)*(6*b + 3 + b - 3*b)*(2 + 1 - 1) to the form d + v*b + j*b**2 + r*b**3 and give r. 16 Express -15*x + 4*x - 15*x in the form f*x + b and give f. -26 Express (0 + 0 + 4*p**2)*(2 - 1 + 28*p - 1) in the form q*p + z*p**3 + m*p**2 + x and give z. 112 Rearrange -18*r**3 - 16*r**3 + 78*r - 75*r to the form g + f*r**2 + v*r**3 + w*r and give v. -34 Rearrange (u + u - 3*u)*(4*u - u + 0*u)*(0*u**2 - u**2 + 0*u**2) to a*u + o*u**2 + b*u**3 + w + p*u**4 and give w. 0 Express -43*d**2 + 6*d**2 + 17*d**2 - 40*d**2 in the form l*d + f*d**2 + b and give f. -60 Rearrange (-3 - 2 + 4)*((-3*j + 2*j + 2*j)*(4*j - 4*j + j) + j**2 + 3 + 2*j**2 - 8) to i*j**2 + s*j + b and give i. -4 Rearrange i**2 + i**2 - 3*i**2 + i - i - 2*i**2 + (i + 0*i + 3*i)*(-2*i - 3*i + 4*i) to the form s*i + n*i**2 + h and give h. 0 Rearrange -118*d**2 + 117*d - 117*d to o*d + y + j*d**2 and give j. -118 Express -10*o**3 - o - o**4 + 11*o**3 - o**2 + 3*o**2 as m*o**4 + k*o**2 + h*o + s*o**3 + d and give d. 0 Rearrange (1 + 2 - 2)*((4*j**2 + 0 + 0)*(3*j + 0*j - j) - j**3 + 4 - 4) to the form l*j**2 + k*j**3 + u + z*j and give k. 7 Express (1 - c - 1)*(-2*c - c + c) + (-5 + 5 + 2*c)*(0*c - 4*c - 2*c) as n*c**2 + m*c + p and give n. -10 Express -14*p - 19*p + 0*p - 5*p in the form v*p + i and give v. -38 Express 16*g + 6*g - 20*g + 5*g**2 as z + t*g**2 + n*g and give n. 2 Rearrange 36*f**3 + 3 - 4 - 25*f**2 - f - f**4 + 27*f**2 to the form j*f**3 + g*f + p*f**2 + i*f**4 + b and give i. -1 Rearrange -2*k**2 + 0 - 1 + 3*k**2 - 4 to the form f + v*k**2 + h*k and give v. 1 Express (-i + 4*i - 2*i)*(-3 + 11 - 7) in the form a + l*i and give a. 0 Express (-2*o + 2 - 2)*(o + 0*o - 2*o)*(48*o - 48*o - 74*o**2) as l*o**2 + f*o**3 + u*o + q*o**4 + g and give q. -148 Rearrange -16*d - 12*d + 3*d to n*d + x and give n. -25 Express -5 - 2 + 7 + 9*t as m*t + f and give m. 9 Express 4*d - 16*d + d**3 + 7*d - 2*d**2 + 2 as c + g*d + v*d**2 + z*d**3 and give z. 1 Rearrange 2*d - 8*d - 5*d + 3*d to the form z + l*d and give l. -8 Rearrange -10*a - 18*a + 21*a to the form m + f*a and give f. -7 Express 0*u + 8*u**2 - 6*u - 5*u**2 - 4*u**2 as x + l*u**2 + t*u and give l. -1 Express -2*p**4 + 0*p**4 + 5*p**4 + (p + 10 - 10)*(p**3 + 0*p**3 + 0*p**3) as d*p**4 + x*p + o + z*p**3 + t*p**2 and give d. 4 Rearrange (w + 2*w - 2*w)*(-7*w**3 - 16 + 14 + 8*w**3) to o*w**3 + n*w**2 + g*w**4 + h*w + r and give g. 1 Rearrange 6*j**3 - j - 13*j**4 + 3*j - 2*j**2 + 12*j**4 + 2 to l*j**2 + q*j**4 + d*j**3 + b*j + i and give b. 2 Express 1 - q - 3*q**2 - 1367*q**3 + 1364*q**3 + q as l + k*q**3 + t*q + n*q**2 and give n. -3 Rearrange -3*k**3 - 1 - 2 - 2*k**2 - 2*k**4 + 3 to the form m + b*k**3 + d*k**4 + h*k**2 + a*k and give b. -3 Rearrange 5*x - 5*x + 6*x + 9*x to the form l + w*x and give l. 0 Express (-3 - 3 + 1)*(2*k + k - k)*(0 + 0 + k) in the form p + h*k + t*k**2 and give t. -10 Rearrange (-r + 0 + 0)*(-1 + 2 + 0) - 363 + 24*r + 363 to z + k*r and give k. 23 Rearrange (-n + 6*n + n + (0 + 2 - 4)*(-3 + 3 - n))*(4*n**2 - 5*n**2 + 3*n**2) - 3*n**3 + 0*n**3 + 5*n**3 to the form w + p*n**3 + h*n + s*n**2 and give p. 18 Rearrange -257 + 253 + 0*q - 2*q - 7*q**3 to the form i*q**2 + a + c*q**3 + j*q and give c. -7 Express -2811*j**3 + 3*j**2 + 6*j**2 + 2813*j**3 as z*j**2 + q + n*j + o*j**3 and give o. 2 Rearrange ((-x + 4*x - 4*x)*(-x + 5*x - 2*x) - 3*x**2 + 0*x**2 - x**2)*(x + 3*x + 0*x) to n*x**3 + q*x + u + k*x**2 and give n. -24 Rearrange (-4*v**2 + v**2 + 2*v**2)*(-3*v - v + 2*v) - v**3 + 6*v - 6*v + (v + 5*v - 2*v)*(-v**2 - v**2 + v**2) to l + r*v**2 + a*v**3 + x*v and give a. -3 Rearrange -2*a**2 - 24*a**4 + 16*a - 33*a - 3 + 2 + 15*a to k + x*a**4 + b*a**3 + g*a + s*a**2 and give k. -1 Express (x**2 + 5*x**2 - 4*x**2)*(2*x - 2*x - 2*x) - 21*x**3 - 9*x**3 - 6*x**3 as n*x**2 + i*x + l + k*x**3 and give k. -40 Express -2*j - 12*j + 4*j + (-1 + 0 + 2)*(j - 2*j - j) + 11 + 8*j - 11 + j + 4*j - 4*j as v*j + h and give v. -3 Rearrange -2 + 2*s - 8*s**3 + 2 + 16*s**3 + 2 to the form b*s**3 + q*s + v*s**2 + d and give q. 2 Express (-2*h + 7*h - h + (-1 - 2*h + 1)*(-1 + 2 + 0) - 5 + h + 5)*(3*h**2 + 0*h**2 - 10*h**2) in the form s*h**3 + z*h + v + t*h**2 and give s. -21 Rearrange (-3*y**2 + 5 - 5)*(-2*y + 0*y + 0*y)*(-2 + 5 - 1) to l + h*y**2 + p*y**3 + q*y and give p. 12 Express (1 + 4 - 3)*(21*z**2 - 21*z**2 - 6*z**3) + 1 - 1 - 2*z**3 as o*z**3 + d*z + x + v*z**2 and give o. -14 Rearrange (4 + 3 - 5)*(-12*v**3 + 7*v**3 - v**3 + v**4) to the form o*v**4 + s*v**3 + q*v + z + r*v**2 and give s. -12 Express 3*j**3 + j + 75 - 5*j**2 + 3*j**2 - 75 as w*j + d*j**2 + z*j**3 + o and give o. 0 Rearrange (-5*g + 7*g - 25*g)*((-2 + 2 + g)*(-5 + 1 + 2) + 1 - 1 + g) to i*g + o*g**2 + q and give o. 23 Rearrange 0*w - 5*w - 3*w**2 - 13 + 13 to the form z*w**2 + c + d*w and give z. -3 Express -4*z**3 - 3*z**3 + 6*z**3 - 6*z**2 in the form x + o*z**2 + q*z + k*z**3 and give k. -1 Express (2 - 2 + 1)*(17 - 17 + 3*n)*(0 - 4 + 7 + (2 + 2 - 2)*(-1 - 3 + 2))*(-4 - 2 + 5) in the form b*n + v and give b. 3 Express 2 + 1 + i**4 + 0 + i**3 - 2*i**2 in the form h*i**3 + s*i**2 + y + j*i + c*i**4 and give y. 3 Express -7*f + 12*f - 3*f**3 - 7*f as d + i*f**3 + p*f + v*f**2 and give p. -2 Express 2*u + 8 + 2*u**3 + u**2 - 6 - 3 in the form j*u**3 + s*u**2 + d*u + h and give d. 2 Express (10*u - 23 + 23)*(-16 + 16 - 6*u) + (5*u**2 - 4*u**2 - 3*u**2)*(0 - 1 + 0) as p*u + t*u**2 + o and give t. -58 Express q**2 - 4*q**2 + q**2 + (3*q - 2*q + q)*(2*q - 6*q + 2*q) + 12*q**2 - 43 + 43 as r*q**2 + c + j*q and give r. 6 Rearrange (-5*x + 2*x + 0*x)*(-12*x + 0*x + 6*x) to a + o*x**2 + c*x and give o. 18 Express 14 + 553*c**2 - 4 - 560*c**2 as x + y*c + s*c**2 and give x. 10 Express 3*c + 6 - 3*c - 5*c + 3*c as o*c + b and give b. 6 Express -33 + 7 -
{ "pile_set_name": "DM Mathematics" }
ve of 19*z**4/24 - z**3/6 + 38*z**2. Is 14 a factor of v(h)? False Suppose 4 = -2*c - 3*z, 2*c + 16 = -5*z + 4. Suppose 5*j - 5 = 15, -c*m + 2*j - 128 = 0. Let k = m - -50. Is k a multiple of 5? True Suppose -a - 172 = r, -a = -2*a + r - 178. Let n = 274 + a. Is n a multiple of 9? True Let i = -242 + 458. Is 6 a factor of i? True Let k be 2 - 78 - 36/(-12). Let b = 241 + k. Does 12 divide b? True Is 250/(-4)*12/(-15) - 2 a multiple of 8? True Let j be ((-3)/(-2))/((-39)/(-208)). Suppose o = n - j, -3*n = -2*n + 2*o - 20. Does 5 divide n? False Suppose 0 = -5*l - 4*f + 9099, 3*f - 3402 = -2*l + 232. Is l a multiple of 60? False Suppose -3*o - 9 = -4*g, -5*g - 3*o - 5 - 4 = 0. Let s(y) = 2*y**2 + 1 + g - 3 - y + 2*y**2. Is s(2) a multiple of 3? True Suppose -3*c + 15 = 0, 20*c - 343 = -4*j + 25*c. Does 27 divide j? False Let f(h) = -h**3 + 7*h**2 - 3*h - 2. Suppose 4*z - 3 = -5*r, -2*z - 3*r - 3 = 2*z. Let p(i) = i**2 + 2*i + 2. Let x be p(z). Does 11 divide f(x)? True Is 16 a factor of (-25)/2*(1056/(-30))/4? False Let d(p) = -24*p - 5. Let x(k) = 12*k + 3. Let o(b) = -4*d(b) - 7*x(b). Is o(9) a multiple of 26? False Let z(k) = -2*k - 17. Let w be z(-10). Suppose 2*p + 3*a = 2, 0*p + 16 = w*p - 2*a. Suppose 0*r - p*r + 144 = 0. Is r a multiple of 12? True Let n be (-18)/(1*2/(-12)). Let i = -737 + 739. Suppose i*f + f = n. Is f a multiple of 9? True Let v be 1221/44 + 2/8. Suppose -8*b + v = -36. Is b a multiple of 4? True Suppose 0 = -5*l + j + 18, -4*j = -l - 7 + 22. Suppose r = -4, -4*w = w + l*r - 13. Suppose -4*u + 3*i + 213 + 91 = 0, -w*u + 381 = -4*i. Is 30 a factor of u? False Suppose 0 = -7*v + 431 - 151. Let o be -3 - 5/((-25)/v). Suppose 223 + 267 = o*b. Is b a multiple of 17? False Let h(y) = -y**2 + 16*y - 30. Let o be h(13). Is 20 a factor of o/12*4 + 57? True Suppose -2*u = -3*u + 6. Let c = 60 + -56. Does 2 divide (0 - c)*u/(-8)? False Let h(i) = i**3 - 10*i**2 + 4*i - 19. Let z be h(10). Suppose -l = -72 + z. Does 17 divide l? True Suppose 0*s + 4*q = -s + 4, 3*s - q = 25. Suppose -3*y - 19 - 6 = 4*l, 4*y - l + s = 0. Is y/(-12)*0 - -12 a multiple of 7? False Suppose -5*r + 22 = -3*r. Suppose -4*s + 17 = -r. Is s*2 - (5 + -9) a multiple of 6? True Let d be (-60)/(-3)*(2 - 1). Suppose -8*l + d = -3*l. Suppose -63 = -3*b - 3*i, 3*b + 9*i = l*i + 57. Does 14 divide b? False Let d = -379 + 1175. Is d a multiple of 34? False Let b be (-2)/(-12) + 138/36. Suppose 0 = -b*v - 20, 2*g - 130 = -2*v - 2*v. Is g a multiple of 14? False Let h(v) = 1106*v**2 + 47*v - 47. Is 30 a factor of h(1)? False Does 10 divide (-20 + 18)*(-11766)/12? False Let z be 217 + 4 + 4 + -4. Let h = z + -157. Suppose m - y = h, 5*m - 115 - 169 = -4*y. Is m a multiple of 12? True Suppose 0 = -5*p + 7 - 2, 0 = -2*w + 2*p + 2846. Let h = -10 - -6. Is 10 a factor of w/72 + h/(-18)? True Let z = 5 + 1. Suppose 5*y - 31 = -z. Is 82*(3 + y/(-2)) a multiple of 20? False Let b(a) = -a**3 + a**2 - 2. Let l be b(0). Suppose -35 = 2*k + 3*n, -3*k = 2*k + 2*n + 115. Is 2 a factor of l/(-5) + (-290)/k? True Let t(s) = -6*s + 13. Suppose 3*j - 13 = -2*d - 3*d, 2*j = 5*d - 33. Let g(m) = 7*m - 14. Let x(q) = j*t(q) - 3*g(q). Is x(7) a multiple of 5? False Suppose 2*a = 4*p + 386, a + 4*a + 4*p - 895 = 0. Is 3 a factor of a? True Let n(r) = r + 14. Suppose 5*u = -51 + 16. Is n(u) a multiple of 2? False Suppose 4*a = -4 - 8. Let z be ((-4)/(-12))/(a/(-27)). Is 4 a factor of (-1 + 13)/4 + z? False Let f = -235 + 305. Is 5 a factor of f? True Suppose -12*w = -8*w - 3*h - 2060, 4*h + 16 = 0. Is 35 a factor of w? False Suppose 23 + 2 = 5*f. Let h be (7/f)/((-11)/(-55)). Is (11/2)/(h/42) a multiple of 8? False Let g(l) = 12*l + 3. Let h(x) = -x**2 + 6*x. Let j be h(5). Let p be g(j). Suppose 5*f - p = -2*d, 34 + 38 = 2*d - 4*f. Is 17 a factor of d? True Let v = -563 + 601. Is v a multiple of 13? False Suppose 986 = 3*w + k, 3*k + 1634 = 4*w + w. Suppose -3*b + 2*y = -w, 5*b - 7*b - 2*y = -222. Is 32 a factor of b? False Suppose 5*r - 3*r - 6 = 0. Let f(m) = 3*m - r - 9*m**3 - m + 11*m**3. Does 19 divide f(3)? True Suppose 8*j = -12*j + 14160. Is j a multiple of 31? False Let m be (-1)/5 + 1/5. Suppose y = -2*d + 39, -4*d + y = -m*y - 81. Let h = 23 + d. Is 11 a factor of h? False Let m = 33 - 24. Is 16 a factor of 92 - 4/(-6)*m/2? False Let t(c) = -c**2 + 9*c + 6. Let q be t(7). Let d = q + -15. Suppose 1 - 46 = -4*p + d*a, -a - 1 = 0. Is p a multiple of 5? True Let x be (-6 - 130/(-25))*5/1. Let z = 15 - 9. Is 11 a factor of (2 - -40) + z + x? True Let k be 150*((-6)/(-9) + 0). Let x = k + 3. Does 13 divide x? False Suppose 0 = -y - 5*z + 4*z - 16, 3*y - 4*z + 27 = 0. Let i(w) = -5*w + 21. Does 38 divide i(y)? False Let i = -1669 - -2461. Does 33 divide i? True Let r = 63 - 159. Let a = r - -161. Is 13 a factor of a? True Suppose -7*s = 2*b - 2*s - 33, -4*b + s + 11 = 0. Does 18 divide ((-488)/6)/(b/(-6))? False Suppose -h - 5*t - 1 = -3*h, -2 = -h + 3*t. Let g be (-3)/h + 918/63. Does 6 divide ((-10)/g - 0)*-42? False Let v = 148 + 1863. Is 38 a factor of v? False Let c = -564 - -1500. Is 8 a factor of c? True Suppose 34 = s + 13. Is 13 a factor of s? False Let r(u) = 155*u - 167. Is 21 a factor of r(20)? False Suppose 0 = y + 5*i - 16, 4*y + y - 20 = 5*i. Suppose -135 = 3*a - y*a. Does 9 divide a? True Let t(d) = d**3 + 13*d**2 - 15*d - 21. Suppose -k - 3*c - 17 = 9, 5*k - 4*c = -54. Let b be t(k). Let a = b - -14. Is a a multiple of 7? True Suppose 10551 = 33*o - 12153. Is o a multiple of 11? False Let y(k) = 3*k - 31. Let q be y(10). Let a = q - -118. Is a a multiple of 13? True Suppose -2*i = 3*i + 20. Let k be 8/i - 3/1. Does 15 divide 4*k*(-36)/16? True Suppose -5*l + 2082 = -20*b + 18*b, 0 = -5*l - b + 2094. Does 38 divide l? True Let i = 1 + -1. Suppose -7*n + 203 = -i*n. Is 9 a factor of n? False Does 5 divide (-21)/6*(-77630)/245? False Let q(l) be the first derivative of -l**4/4 + l**3 + 2*l**2 + 1. Let f(s) be the second derivative of q(s). Is f(-8) a multiple of 18? True Suppose -3*w + 20 = w. Let l(m) = -m**3 + 4*m**2 + 7*m - 5. Does 5 divide l(w)? True Let l = 360 - 295. Is l a multiple of 5? True Let g(l) = 8*l**2 + 21*l + 86. Is g(-12) a multiple of 54? False Let g(u) = -u - 8. Let l be g(-10). Suppose -l*n + v = -172, n - 5*v - 34 = 61. Suppose 3*s = n + 20. Does 15 divide s? False Is 8 a factor of 57/(-19) + -1 + 558 + -2? True Suppose -13*c = -8*c. Suppose 4*j - 3*n - 270 = c, 2*j - 4*n = 109 + 21. Is 28 a factor of j? False Let x = 5 + -3. Let y = 3 + -1. Suppose -x*r - 172 = -4*f, 0*f - y*r = -f + 46. Is f a multiple of 14? True Does 82 divide 1/(-2)*-2 + (67 - -1468)? False Let t be (-1)/(-3)*3*167. Let h = 329 - t. Is (12/18)/(4/h) a multiple of 8? False Let d be ((-56)/12 + 4)*-3. Suppose -d*a = -5*a. Suppose a = -p - 2*p + 216. Is p a multiple of 15? False Suppose 2*j - 4 + 0 = 5*b, -8 = b + 2*j. Is 19 a factor of (-2)/((b/(-76))/(-1))? True Suppose -2*j - 1438 = 3*h - 6*h, -3*h = 3*j - 1413. Is h a multiple of 9? False Suppose 2*z = 3*d - 6308, 2*d - 4192 = -0*z + 4*z. Is d a multiple of 9? True Let m(r) = r**3 - r**2 - r. Let f(v) = -9*v + 3*v**3 - v**3 + 3*v**3 + 2 - 10*v**2. Let p(i) = f(i) - 6*m(i). Is 16 a factor of p(-5)? False Let s(b) be the third derivative of b**5/30 + b**4/6 - 7*b**3/6 + 10*b**2. Is s(3) a multiple of 15? False Let y(r) = r**3 + 4*r**2 + 7*r + 125. Is 42 a factor of y(0)? False Let g be (3/36*3)/((-4)/(-112)). Suppose 3*c + q - 166 = 0, g*c - 3*q - 174 = 4*c. Is 42 a factor of c? False Let n = 2 + 3. Let d(v) = -n*v**2 - v**3 + 4 - 5 - 2*v + v. Is 4 a factor of d(-5)? True Suppose -2*c = 5*u - 5 - 10, 3*u = -2*c + 13. Is -1*c/((-5)/152) a multiple of 38? True Let v(u) = u**2 + 9*u - 4. Let a(g) = g**3 - 5*g**2 - 7*g - 5. Let t be a(6). Does 9 divide v(t)? True Suppose 0 = -45*w + 9714 + 7971. Is 9 a factor of w? False Suppose 0*x + 90 = 5*x. Let y(g) = 3 + 3*g + 1 - x - g. Is 12 a factor of y(13)? True Let i = 81 - 79. Suppose -161 = -i*a + 167. Is 28 a factor of a? False Suppose 2*j - 2*t = 224, 21*t - 20*t = -3*j + 356. Is j a multiple of 3? True Let h(k) = k**3 + 10*k**2 + 11*k + 20. Let i be h(-9). Suppose -2*u + 0*u - 2*w = -186, 3*u = i*w + 254. Let s = -58 + u. Is 7 a factor of s? False Suppose 0 = -4*r + 3*r + 504.
{ "pile_set_name": "DM Mathematics" }
6*m(s) + 11*z(s). Give j(g(w)). 18491*w**4 + 5412*w**2 + 396 Let g(d) = -48424*d. Let k(i) = 416*i**2. Determine k(g(o)). 975471650816*o**2 Suppose 8*j = 60 + 300. Let n(z) = 77*z - j*z - 43*z. Let x(h) = -3*h**2. What is x(n(l))? -363*l**2 Let x(t) be the third derivative of -t**4/24 - 659*t**3/6 + 58*t**2 + 12*t + 1. Let s(r) = 3*r. Calculate s(x(j)). -3*j - 1977 Let h(f) be the third derivative of -3*f + 3/10*f**5 + 0*f**3 - 20*f**2 + 0 + 0*f**4. Let b(o) = -8*o**2. Determine h(b(s)). 1152*s**4 Let r(g) = -138*g**2 + 7*g + 4. Let a(n) = 275*n**2 - 13*n - 8. Let x(o) = 7*a(o) + 13*r(o). Let v(k) = 5*k. What is v(x(u))? 655*u**2 - 20 Let i(d) = -2*d**2 + 119. Let y(o) = -380811*o. Determine i(y(j)). -290034035442*j**2 + 119 Let z(t) = -17166*t + 1. Let k(r) = -9971 + 19957 + 2*r**2 - 9986. What is k(z(m))? 589343112*m**2 - 68664*m + 2 Let g(s) = -219*s**2 - 66*s + 3*s + 63*s. Let j(f) = 2*f**2 + 3. Let h(k) = 6*k**2 + 8. Let n(z) = -3*h(z) + 8*j(z). What is g(n(b))? -876*b**4 Let b(r) = r**2 - 115*r. Let c(w) = 2199*w - 206. Determine c(b(t)). 2199*t**2 - 252885*t - 206 Let r(c) be the second derivative of -c**3/2 + 4019*c. Let t(v) = -2901*v**2. Calculate t(r(b)). -26109*b**2 Let k(s) = -4*s. Let p(y) = -1287013*y. What is k(p(v))? 5148052*v Let w(z) = -4*z. Suppose i + 8 - 1 = 3*a, -16 = 4*i. Let h(q) = 13*q - a - 14 + 15. Calculate w(h(k)). -52*k Let q(o) be the third derivative of o**8/2016 - o**5/6 + o**3/2 + 107*o**2. Let j(h) be the third derivative of q(h). Let y(u) = -12*u**2. What is y(j(f))? -1200*f**4 Let q(h) = -23*h + 55. Let g(l) = -8*l + 19. Let y(t) = 8*g(t) - 3*q(t). Let b(z) = 6*z**2 - 9*z**2 + 2*z**2. Calculate y(b(f)). -5*f**2 - 13 Let f(s) = 839675*s. Let m(j) = -3*j**2. What is f(m(p))? -2519025*p**2 Let w(h) = h**2 - 201*h. Let z(v) be the third derivative of v**4/4 + 51*v**2 - 14. Determine z(w(o)). 6*o**2 - 1206*o Let z(v) = -6*v**2. Let n(h) = -17*h + 15. Let t(b) = 198 - 182*b + 47*b - 172*b + 87*b. Let c(x) = 66*n(x) - 5*t(x). Calculate c(z(l)). 132*l**2 Let q = 4 + 0. Let c(s) = -q + 4 + s**2. Let o(w) be the third derivative of -w**5/60 + 7*w**3/3 + 23607*w**2. Determine c(o(i)). i**4 - 28*i**2 + 196 Let d(m) = m - m**3 + 9 + 0*m**2 + 3*m**2 - 10*m**2. Let z be d(-7). Let f(g) = -4 - g**2 + 4 + 2*g**z. Let u(q) = 7*q**2. What is f(u(w))? 49*w**4 Let j(z) = z**2. Let q(h) = -223*h + 862. Let w(x) = -45*x. Let b(p) = -q(p) + 5*w(p). Determine b(j(i)). -2*i**2 - 862 Let g(n) be the first derivative of 63*n**2 + 10955. Let i(m) = -83*m**2. Determine i(g(v)). -1317708*v**2 Let n(p) = -2*p**2. Let s(i) = 320950*i - 1925. Let g(z) = 500*z - 3. Let u(t) = 3850*g(t) - 6*s(t). Give n(u(v)). -980000*v**2 Let b(f) = -2*f + 42. Let o(z) = 636340*z. Calculate o(b(u)). -1272680*u + 26726280 Suppose 22*g + 3*g = 50. Let o(i) = 10*i**2 + 11*i - 11. Let s(h) = -h**2 - h + 1. Let u(j) = g*o(j) + 22*s(j). Let b(m) = 15*m**2. What is u(b(v))? -450*v**4 Let n(r) = -34*r - 1. Let j(t) = 3*t - 63355. What is n(j(a))? -102*a + 2154069 Let v(t) = -33*t**2 + 4. Let h(n) = 2*n**2 + 6*n - 21. Let p(g) = -6*g**2 - 16*g + 56. Let f(d) = 8*h(d) + 3*p(d). What is v(f(s))? -132*s**4 + 4 Let b be 10604/66*18/4. Let m(u) = -20*u - b + 723. Let x(l) be the first derivative of l**2 + 2. Calculate m(x(v)). -40*v Let n(l) = -5*l**2 + 61615. Let f(b) = -3*b + 13. Determine n(f(y)). -45*y**2 + 390*y + 60770 Let l(a) = -12127370*a**2. Let o(t) = 2*t. Calculate o(l(y)). -24254740*y**2 Let b(j) = -j + 19. Let q(h) = 491380*h**2. What is b(q(c))? -491380*c**2 + 19 Let t(k) = 192*k**2. Let v(n) = 2*n + 6. Suppose l - 2*b + 0*b = -5, -5 = 2*l + b. Let z(o) = o + 4. Let p(h) = l*z(h) + 2*v(h). Calculate p(t(c)). 192*c**2 Let f(q) = 16*q**2 - 12. Let o(w) = -20*w**2 - 4*w + 2. Let i(n) = -68*n**2 - 14*n + 7. Let j(t) = -2*i(t) + 7*o(t). Calculate j(f(a)). -1024*a**4 + 1536*a**2 - 576 Let p(x) = -18*x**2. Suppose 2*y + 2*t = 14, 3*t - 1 - 22 = -4*y. Let f be (7 - (4 - y))/(1/1). Let m(v) = -6*v + f*v + 0*v. What is m(p(c))? 18*c**2 Let m(g) be the second derivative of 47*g**3/3 + 174*g + 1. Let k(h) = -33*h**2. What is m(k(d))? -3102*d**2 Let b(l) = -97087 - 1387*l + 97087. Let d(x) = -3*x. Calculate b(d(a)). 4161*a Let r(a) = -20*a - a - 2*a. Let o be 1/((-1 - (-24)/22)/1). Let f(y) = o*y + 9*y - 33*y + 12*y. Determine r(f(v)). 23*v Let d(u) = -455*u + 1154*u - 1 - 683*u. Let m(i) = -5*i**2. Determine d(m(s)). -80*s**2 - 1 Let h(w) = -6763958*w**2. Let b(l) = -6*l. What is h(b(v))? -243502488*v**2 Let x(h) = 6*h**2. Let f(q) = 724*q**2 - 1403*q**2 + 725*q**2. Give f(x(j)). 1656*j**4 Let k(a) = 1248*a**2 - 2*a. Let m(v) = -6396*v. Calculate k(m(y)). 51054202368*y**2 + 12792*y Let c(u) = 3*u**2. Let p(o) = -35852339*o. Calculate c(p(j)). 3856170635312763*j**2 Let x(a) = 10*a. Let r(s) be the third derivative of -5*s**4 - s**3/3 - 284*s**2 + 3*s. Determine x(r(o)). -1200*o - 20 Let t(p) = -73891*p - 21. Let y(z) = -10*z. Determine y(t(a)). 738910*a + 210 Let u(d) be the first derivative of 7*d**2/2 - d + 1275. Let h(f) = -12*f**2. Calculate h(u(o)). -588*o**2 + 168*o - 12 Let h be (-2 - 4)*(-17)/34. Let s(a) = -5*a. Let w(k) = -k. Let v(m) = h*w(m) - s(m). Let j(p) = 1 + 14*p**2 - 1. Calculate v(j(y)). 28*y**2 Let i(c) = -12*c**2. Let x(k) = 2968*k - 766*k**2 - 2968*k + 863*k**2. Determine i(x(f)). -112908*f**4 Let w(h) = -5*h - 22. Let s(c) = 22*c + 99. Let u(o) = 4*s(o) + 18*w(o). Let x(n) = 600*n**2. Calculate u(x(t)). -1200*t**2 Let o(d) be the second derivative of -67*d**3/6 + 1778*d. Let h(n) = -31*n. Determine o(h(b)). 2077*b Let z(o) = -373*o**2 + 9. Let a(q) be the third derivative of q**5/60 + 9*q**2 + 5*q - 2. What is z(a(f))? -373*f**4 + 9 Let l(w) = 19*w**2 - 8*w - 8. Let i(j) = 21*j + 5*j**2 + 2*j**2 - 5 - 24*j + 2. Let o(f) = 8*i(f) - 3*l(f). Let x(n) = -2*n**2. Calculate x(o(d)). -2*d**4 Let w(b) = -21*b**2 - 33. Let x(h) = 2946*h**2. Give w(x(n)). -182257236*n**4 - 33 Let r(n) = 33*n**2. Let x(l) = 41*l**2 + 4*l + 20. Let y(d) = 3240*d**2 + 315*d + 1575. Let u(z) = 315*x(z) - 4*y(z). What is u(r(b))? -49005*b**4 Let p(h) = 3*h**2 + 18. Let w(q) = -1. Let g(z) = -z**2 + 18*z - 33. Let j be g(16). Let b(r) = j*p(r) - 18*w(r). Let o(k) = k**2 + 2*k. What is b(o(u))? -3*u**4 - 12*u**3 - 12*u**2 Let z(j) = j**2. Let m(q) = -305*q**2 - 99714. Determine m(z(x)). -305*x**4 - 99714 Let c(f) = 12*f**2 + 24. Let t(l) = -131*l**2 - 270. Let a(q) = -45*c(q) - 4*t(q). Let g(z) be the first derivative of -3*z**2/2 + 1. Give a(g(d)). -144*d**2 Let u(t) = -30*t. Let b(p) = -p + 482011. What is u(b(c))? 30*c - 14460330 Let x(o) = 48*o**2 + 1. Let w(c) = -20*c**2. Let f(p) = -10*p**2. Let y(a) = 13*f(a) - 6*w(a). Determine x(y(m)). 4800*m**4 + 1 Suppose -59 + 31 = -7*w. Let b(g) = -w*g - 3*g - 8*g + 9*g. Let k(l) = 13*l**2. What is b(k(d))? -78*d**2 Let t(j) = -27*j**2. Let q(d) = -23602*d + 11839*d + 11838*d. Determine t(q(v)). -151875*v**2 Let i(r) = -37*r. Let g(s) = -6*s + 10 - 5*s + s - 17*s + 28*s. Calculate g(i(m)). -37*m + 10 Let j(l) = -21*l**2 + 5*l - 5. Let g(f) = 8*f**2 - 2*f + 2. Let a(z) = 5*g(z) + 2*j(z). Let i(n) = 93*n**2. Determine i(a(r)). 372*r**4 Let g(x) = -x**2 + 373696. Let s(w) = 5*w**2. What is g(s(y))? -25*y**4 + 373696 Let i(b) = -180*b. Let z(k) = 84*k + 1. Let o(f) = -421*f - 5. Let c(g) = o(g) + 5*z(g). Calculate c(i(l)). 180*l Let f(k) = -k**2 - 5*k - 1. Let y(g) = 3*g**2 + 10*g + 2. Let x(h) = -2*f(h) - y(h). Let n(q) = -280*q**2 - 1. Give x(n(o)). -78400*o**4 - 560*o**2 - 1 Let x(t) be the third derivative of 27*t**4/8 + 168*t**2. Let i(q) = 480 + q**2 - 480. Give i(x(d)). 6561*d**2 Let m(w) = 33936*w + 2. Let l(c) = 18*c. What is m(l(h))? 610848*h + 2 Let c(l) = -2257*l - 4. Let s(z) = -2*z**2 + 77*z - 28. Let n(f) = f**2 - 33*f + 12. Let j(k) = 7*n(k) + 3*s(k). Determine j(c(a)). 5094049*a**2 + 18056*a + 16 Let j(t) = -40*t + 4. Let o(d) = 3*d - 143. Let w(h) = h - 78. Let x(r) = 6*o(r) - 11*w(r). Calculate x(j(l)). -280*l + 28 Let b(a) = -6*a**2. Let g(k) = -6*k**2. Let z(w) = 6*b(w) - 5*g(w). Let y be (36/(-15))/(24/(-13520)). Let o(p) = -2713*p + 1360*p + y*p. Give z(o(u)). -6*u**2 Let y(a) = -2*a. Suppose -b = -2*i + 17, -15*i - 2*b + 26 = -13*i. Let w(v) be the first derivative of -31/3*v**3 + 0*v + 0*v**2 - i. Calculate
{ "pile_set_name": "DM Mathematics" }
h/(h*h*(h/(h**(2/5)/h))/h*h))/h))**16)/((h**(-2/5))**(30/11))**(4/5) assuming h is positive. h**(-723/11) Simplify (d**25/((d**(-2/7)/d)/d)*d**(-1)/(d**(-34)/d))**(1/57) assuming d is positive. d**(143/133) Simplify (n**(-1))**(-10/13)*n**(1/5)/n**(-2/5)*(n/(n*(((n/n**4)/n)/n*n)/n))/(n**(1/6)*n)*n/(n**6*n)*n/(n**3/n) assuming n is positive. n**(-701/390) Simplify (w*w/(w*w**(1/2)*w)*w)**(1/21)*w**6/(w**(-2)*w)*(w*w**1*w*w**0*w*w)**(-41) assuming w is positive. w**(-8315/42) Simplify (((y**(1/19)/y)/y*y)**(2/29)/(y/(y*y**(6/11)))**(-21))**(-42) assuming y is positive. y**(2932524/6061) Simplify ((l*l*l**(1/3))**(-9))**(-21)/((l*l/(l*l**2/l)*l)**(-1/56)/(l**(-1)*l*l*l*l/l**4)) assuming l is positive. l**(24641/56) Simplify ((f**5/(f*f**(2/13)))/(f**(-1/3)*f*f**(2/7)*f))/((f**(-2/7)/f)**(-39)*((f*f**(-2/11))/f*f)/f**1) assuming f is positive. f**(-144346/3003) Simplify (x*x**(-2/13)*x**6)/(x**(-4)/(x**1/x))*(x**(-6)*x**(2/3))/(x*(x*(x*x**(-4)*x)/x)/x*x*x*x*x**4*x) assuming x is positive. x**(-19/39) Simplify ((k**(-3/7)/k*k)/(k*k/k**(-1/2)))/(k/(k/(k/(k**(1/4)/k)*k*k)))**(-30)*k**(-2/3)/k**(-5)*(k**0)**(-16) assuming k is positive. k**(2392/21) Simplify ((x**(-1/8)/x**(-4))/(((x**(2/3)/x)/x)/(x*x*x**8)))/((x/(x**(4/3)/x)*x*x/x**(-2/19))/(x**(-6)/(x*(x**(1/4)/x*x)/x))) assuming x is positive. x**(2821/456) Simplify (k*k*k/k**(18/5)*k**24*k*k/(k*k**(1/8))*k*((k**31/k)/k)/k)**(20/3) assuming k is positive. k**(2131/6) Simplify (g**2)**(-9/8)*(g**(2/3))**(2/65)*(g**(-1/2))**(-37)*(g**(1/3)/g)**(-32) assuming g is positive. g**(9777/260) Simplify (y/(y**(-2/3)/y))**(-23)*y*y**4*y*y**1/y*((y*(y*y*y**(1/4))/y)/y)**(-47)*y**3/(y**5*y) assuming y is positive. y**(-1405/12) Simplify h**(3/2)/h**(-1/19)*(h**(-31))**(-41) assuming h is positive. h**(48357/38) Simplify ((d/(d*d**8))/(((d/(d*d**(-1/2)))/d)/d))**(3/17)/((d*d/((d/(d**2*d))/d)*d)**(-3/2))**26 assuming d is positive. d**(7917/34) Simplify ((r*r**4/r*r)**(21/5)*(r**1)**(2/3))**(-3/8) assuming r is positive. r**(-65/8) Simplify (((r/(r*r**10/r*r))/r*r**(-4))/(r**(-1/15)/r*(r/r**4*r)/r*r))**(-43) assuming r is positive. r**(7697/15) Simplify (i**(-2/7)*i**(-4))**(3/2)*(i**(6/11)/((i*i*i**(-4)*i)/i))/(i**(2/3)/((i/(((i**0/i)/i)/i))/i)) assuming i is positive. i**(-358/231) Simplify ((f*f**(-1/6))**23)**(2/183)/((f**(-2))**(-33)/((f/f**(-7))/((f/(f/f**(1/15)))/f*f*f))) assuming f is positive. f**(-161563/2745) Simplify ((k/k**3*k)/k**(2/9)*(k/(k**(-1)/k))**(11/9))/(k*k*k/(k*k**(2/9)*k)*k*k*k**(-3)/k)**15 assuming k is positive. k**(187/9) Simplify ((g*g/(g**(1/23)*g)*g)/(g/(g*((g/((g*g**(1/2))/g)*g)/g)/g)))/((g/g**(-2/25))/g**(-4/11)) assuming g is positive. g**(163/12650) Simplify ((j**(-1/3))**(-41)*j**(-2/11)*(j/(j**2*j))/j)/(j*j**(3/8)*j*j/(j/j**(-1))*j**3/j**(-1/11)) assuming j is positive. j**(1589/264) Simplify (q*q**(-1/5)*q/q**3*q*(q/(q*((q**(-2/3)/q)/q)/q))**(-2/21))/((q*q/q**6)/(q/q**(2/9)))**(-39/5) assuming q is positive. q**(-11912/315) Simplify (u**(2/9)*u*u/(u/u**1*u))**(1/42)/(u**(-3)*u**(-2/29))**(-30) assuming u is positive. u**(-1008941/10962) Simplify ((j**(-31)/(j*j**(-17)))/((j*j/((j*j**(-34)*j)/j)*j*j)/j**17))**(-17/3) assuming j is positive. j**(595/3) Simplify ((u/u**(-1/16)*u**(-15/4)*u)/((u*u/(u*u**(-44)))/((u/(u*u**(-2/55))*u)/u)))**28 assuming u is positive. u**(-287371/220) Simplify ((k*k**(-16)/k)**(8/5)*k*k/(k*k**1)*((k**31*k)/k)/k)**(-3) assuming k is positive. k**(-66/5) Simplify ((i/(i*i**(-3))*i*i/i**0)/(i**(7/3)*i**(6/5)))**(-47) assuming i is positive. i**(-1034/15) Simplify ((l**4)**11)**(-1/18)/((l**(2/3)*l**(-1/4))/((l/(l*l*l**(2/7)*l*l*l*l*l))/(l**(6/5)/l))) assuming l is positive. l**(-11777/1260) Simplify ((b**(-1/2)*b*b/(b*b*b/((b*b**(-1/3)*b)/b))*b*b*b**(-4)/(b*b*b*b**(-4)))**(2/21))**(-3) assuming b is positive. b**(11/21) Simplify (s*s**2*s/(s*s**(-1/10))*s*(s*s**(-3)*s*s)/s**(-4))/(s**(-1/2)/s*s*s**(-7))**17 assuming s is positive. s**(678/5) Simplify ((k*k**18/k*k*k*k)**(-48)*(k**(12/5)*k)**4)**(2/7) assuming k is positive. k**(-9944/35) Simplify z**(2/19)*z*(z/(z/(z**(2/3)/z*z)*z))/z*z*z**3*z**(5/2)/z*(z**(2/11)*z/(z*z**7/z))/(z**0)**(2/11) assuming z is positive. z**(-685/1254) Simplify (t*t**(-2)*(t**(-7)/t*t)/t*((t*t**(1/3))/t)**39)/((t/(((t*(t/(((t**1/t)/t)/t))/t)/t)/t*t))**(9/2))**(-2/35) assuming t is positive. t**(131/35) Simplify ((f**(-1))**9/(f**(-2)/((f**(6/11)/f*f*f*f)/f)))/((f**2/f**(-5))/(f*f**(5/4)*f*f*f*f/(f*f**(-4)*f*f))) assuming f is positive. f**(-229/44) Simplify ((z**(-1)/z)/((z*z/z**(-2))/z))**(-23)/((z**(-2/3))**49)**(23/2) assuming z is positive. z**(1472/3) Simplify (f*f**11*f*f/((f/f**(-1/4))/f))/(f**(-1/8))**(-13/7) assuming f is positive. f**(757/56) Simplify (a**(-1)/((a*a**(-2/11))/a))**15*(a/((a/(a*a**(-1))*a*a)/a))**(4/3)*(a*(a*a**2*a)/a*a)/a*a/a**3 assuming a is positive. a**(-383/33) Simplify (t**(2/7))**(1/2)*(t**1)**32*(t**(-7)*t*t**(-7)/t)/(t**(2/9)*(t*t**(-3))/t) assuming t is positive. t**(1318/63) Simplify ((d**(-6/11)*d)/(d**(-4/19)*d)*d**(-24/11)/(d**(-31)/d))**18 assuming d is positive. d**(110916/209) Simplify (u**0)**(-2/25)/(((u*(u*u**(-1/3))/u*u)/u)/(u*u**(-3/5)*u))*((u**(1/3)/u*u)/(u/u**(-3/5)))**24 assuming u is positive. u**(-89/3) Simplify ((s*s**(2/7))**(-16))**(-19/3)*(s**(5/6)/(s*s*s*s**(-16)*s*s))**44 assuming s is positive. s**(13670/21) Simplify (i**(1/3))**(-3)/(i*i**1)**(2/3)*((i**(-1)/i*i)**(-37))**(-5/3) assuming i is positive. i**(-64) Simplify ((r*r**0)/r*r**(1/13))**(-21)/((r**(2/5)/r)**(-3/10)*(r**(-2))**(2/3)) assuming r is positive. r**(-901/1950) Simplify ((((i/i**(-2/13))**(-8/3))**(-20/7))**(-4/9))**39 assuming i is positive. i**(-3200/21) Simplify (((i**(-2)/i)/i*(i*((i*(((((i/(i**5/i))/i)/i)/i)/i)/i)/i)/i)/i)**(-4/9))**38 assuming i is positive. i**(1976/9) Simplify (((u*u**2)/u*u**(-6))/(u/((u*u**1)/u)*u**(-3)*u))/((u*u**(-8))/((u**(-5)/u)/u))**(1/71) assuming u is positive. u**(-2) Simplify ((h*h/h**7)/(h*h**6*h))**(-33/7)*(((h*h**(-2/23))/h)/(h/h**(-2)))**(-44) assuming h is positive. h**(31735/161) Simplify ((((g/((g*g*g**(-3))/g))/((g/(g/(g**(4/15)*g*g*g)))/g*g))/(g**(-2/9))**(-2/3))**(-34))**(-12) assuming g is positive. g**(-7616/45) Simplify (((a**(-2/3)*a)/a**(-1))/(a/a**9*a*a**7))/(a**(-2/17)*(a**(-2/9)/a)/a*((a/(a*(a/(a/(a**(-6)/a*a)))/a))/a*a)/a**(-4)) assuming a is positive. a**(-1121/153) Simplify l**3/((l*l/l**(3/10))/l)*l**(-8)/(l**(5/3)/l)*((l**(2/15)*l)/l*l)/l*l*(l/(l*l**(-3)/l))/l*l*l**2*l*l**(-8)*l assuming l is positive. l**(-157/30) Simplify (((x*x*x/((x/(x/(x/(x**2*x))))/x)*x*x)/(x**(-8)/x))/(x**(-4/3)/(x*x**(2/11))))/((x**(-3))**3)**(-6/7) assuming x is positive. x**(2726/231) Simplify ((g**(2/45)*g/g**45)**(3/8))**(-1/56) assuming g is positive. g**(989/3360) Simplify (p**(2/5)*p**(1/4))/((p*p**(-1))/p)**(-2/29)*(((p**(-4/5)/p)/p)/p**(2/17))/(p**(-1/2)*(p*p**(-2/17)*p)/p) assuming p is positive. p**(-1577/580) Simplify ((w**(6/7)/w*w*w**(-3)*w**4*w**(-9))**(8/3))**(-44) assuming w is positive. w**(17600/21) Simplify (n**(-5/4)/n*(n**(-2)*n)/n)/((n*n*n/(n/n**(-4)))/n*n**0)*((n**(1/4)/n)/n)/(n*n**(-5))*(n**(1/3)*n)**(3/16) assuming n is positive. n**(5/4) Simplify (((y/(y**(1/18)*y))/((y/(y*y**37*y))/y*y*y))/((y/(y**(1/20)/y))/y)**8)**(-3/7) assuming y is positive. y**(-2641/210) Simplify (((d**1*d/d**(-4/3)*d)/((d/d**(-5/2)*d)/(((d*d**(-2/9)*d)/d)/d)))**38)**(-1/31) assuming d is positive. d**(133/279) Simplify ((n/((((n**1/n*n)/n)/n*n)/n))/n**9*(n*(n/n**(-1/9))/n)/n*n*n*(n**(1/3)/n)/n)/((n/(n*n**0))/(n/n**7)*(n**(2/3)/n)**(-30)) assuming n is positive. n**(-203/9) Simplify ((m/((m**(-8/5)/m)/m*m))**(-43)/(((m/(((m/(m/(m/((m/(m/(((m**(-18/5)/m)/m*m*m)/m)))/m)*m*m)))/m)/m)*m)/m)/m**(-2/17)))**(-21) assuming m is positive. m**(266532/85) Simplify (a**(-1/11)*a**(5/11)*(a/(a**(-11)/a)*a)/(a*a**(-7/2)/a))**24 assuming a is positive. a**(4716/11) Simplify t**(-1/4)*t*t*t*t**42*t**(-1/4)*t*t**(-3/16) assuming t is positive. t**(725/16) Simplify x**(-4)/x**4*((x*x**3*x*x*x)/x)/(x*x**(1/3)/x*x)*(x**(-1)*x)**47/(x/x**(-7)*x*x*x*x**7) assuming x is positive. x**(-64/3) Simplify ((((j/j**(2/5))/j*j)/j)/(j/(j/(j*j/((j*j**(3/11))/j)))))/((j/j**2)/j)**(-48)*(j*j**(-1/7))/j**(6/11)*j*j**(-1/7)*j*j*j**8*j assuming j is positive. j**(-33094/385) Simplify ((g/(g/g**(3/
{ "pile_set_name": "DM Mathematics" }
earest integer? 126 What is 291784 to the power of 1/3, to the nearest integer? 66 What is 5555454 to the power of 1/2, to the nearest integer? 2357 What is the cube root of 2062379 to the nearest integer? 127 What is 18948085 to the power of 1/5, to the nearest integer? 29 What is the ninth root of 1426638 to the nearest integer? 5 What is 292953 to the power of 1/3, to the nearest integer? 66 What is 1479488 to the power of 1/8, to the nearest integer? 6 What is the sixth root of 1502223 to the nearest integer? 11 What is 30725163 to the power of 1/2, to the nearest integer? 5543 What is the cube root of 6175569 to the nearest integer? 183 What is 303028 to the power of 1/4, to the nearest integer? 23 What is the seventh root of 198547 to the nearest integer? 6 What is the square root of 1101416 to the nearest integer? 1049 What is 8646355 to the power of 1/5, to the nearest integer? 24 What is the third root of 27217 to the nearest integer? 30 What is 5231090 to the power of 1/5, to the nearest integer? 22 What is 8068527 to the power of 1/7, to the nearest integer? 10 What is 138880 to the power of 1/8, to the nearest integer? 4 What is the square root of 125406 to the nearest integer? 354 What is 13844207 to the power of 1/3, to the nearest integer? 240 What is 6076064 to the power of 1/3, to the nearest integer? 182 What is 6292203 to the power of 1/3, to the nearest integer? 185 What is the cube root of 3231564 to the nearest integer? 148 What is 212962 to the power of 1/2, to the nearest integer? 461 What is the cube root of 1199645 to the nearest integer? 106 What is 6185206 to the power of 1/10, to the nearest integer? 5 What is the cube root of 536225 to the nearest integer? 81 What is the fourth root of 2544686 to the nearest integer? 40 What is the eighth root of 3099687 to the nearest integer? 6 What is the fourth root of 256145 to the nearest integer? 22 What is 2358510 to the power of 1/7, to the nearest integer? 8 What is the cube root of 24826832 to the nearest integer? 292 What is the square root of 3767910 to the nearest integer? 1941 What is 913498 to the power of 1/4, to the nearest integer? 31 What is the third root of 11750266 to the nearest integer? 227 What is the square root of 14432459 to the nearest integer? 3799 What is 119435 to the power of 1/3, to the nearest integer? 49 What is the eighth root of 24229132 to the nearest integer? 8 What is 19096 to the power of 1/9, to the nearest integer? 3 What is 16819 to the power of 1/3, to the nearest integer? 26 What is the square root of 70414 to the nearest integer? 265 What is 1110967 to the power of 1/2, to the nearest integer? 1054 What is the third root of 62404 to the nearest integer? 40 What is the cube root of 16816173 to the nearest integer? 256 What is 6608192 to the power of 1/3, to the nearest integer? 188 What is the square root of 2730599 to the nearest integer? 1652 What is the cube root of 1056068 to the nearest integer? 102 What is the fourth root of 5155141 to the nearest integer? 48 What is 14949762 to the power of 1/10, to the nearest integer? 5 What is the third root of 3721656 to the nearest integer? 155 What is 896036 to the power of 1/2, to the nearest integer? 947 What is the square root of 2024022 to the nearest integer? 1423 What is 172029 to the power of 1/10, to the nearest integer? 3 What is 6170949 to the power of 1/7, to the nearest integer? 9 What is 10653393 to the power of 1/8, to the nearest integer? 8 What is the third root of 221046 to the nearest integer? 60 What is 355254 to the power of 1/9, to the nearest integer? 4 What is 22307018 to the power of 1/2, to the nearest integer? 4723 What is 213761 to the power of 1/8, to the nearest integer? 5 What is 37734609 to the power of 1/10, to the nearest integer? 6 What is the fourth root of 2498542 to the nearest integer? 40 What is the ninth root of 7863080 to the nearest integer? 6 What is the fourth root of 7123878 to the nearest integer? 52 What is 112594 to the power of 1/3, to the nearest integer? 48 What is the third root of 204625 to the nearest integer? 59 What is the cube root of 4778899 to the nearest integer? 168 What is 18656702 to the power of 1/2, to the nearest integer? 4319 What is 204742 to the power of 1/7, to the nearest integer? 6 What is 1216345 to the power of 1/2, to the nearest integer? 1103 What is the sixth root of 342259 to the nearest integer? 8 What is the sixth root of 87962 to the nearest integer? 7 What is 5303121 to the power of 1/7, to the nearest integer? 9 What is 48916 to the power of 1/3, to the nearest integer? 37 What is 10176680 to the power of 1/3, to the nearest integer? 217 What is the square root of 1824265 to the nearest integer? 1351 What is the seventh root of 102822 to the nearest integer? 5 What is 6047781 to the power of 1/2, to the nearest integer? 2459 What is 9852556 to the power of 1/5, to the nearest integer? 25 What is 1562047 to the power of 1/10, to the nearest integer? 4 What is the tenth root of 182636 to the nearest integer? 3 What is the seventh root of 33952051 to the nearest integer? 12 What is the third root of 1001292 to the nearest integer? 100 What is the sixth root of 10918026 to the nearest integer? 15 What is 148492 to the power of 1/6, to the nearest integer? 7 What is 604246 to the power of 1/6, to the nearest integer? 9 What is the fourth root of 1640690 to the nearest integer? 36 What is 149588 to the power of 1/4, to the nearest integer? 20 What is 3812118 to the power of 1/8, to the nearest integer? 7 What is the square root of 268807 to the nearest integer? 518 What is the seventh root of 5675062 to the nearest integer? 9 What is 2657464 to the power of 1/6, to the nearest integer? 12 What is the square root of 228524 to the nearest integer? 478 What is the seventh root of 3124395 to the nearest integer? 8 What is the cube root of 3899947 to the nearest integer? 157 What is 1101575 to the power of 1/6, to the nearest integer? 10 What is 1933624 to the power of 1/3, to the nearest integer? 125 What is the seventh root of 396961 to the nearest integer? 6 What is the square root of 8540725 to the nearest integer? 2922 What is the fourth root of 2412861 to the nearest integer? 39 What is 733423 to the power of 1/3, to the nearest integer? 90 What is the square root of 14668503 to the nearest integer? 3830 What is the cube root of 870551 to the nearest integer? 95 What is 2044826 to the power of 1/4, to the nearest integer? 38 What is the square root of 3244617 to the nearest integer? 1801 What is the sixth root of 623975 to the nearest integer? 9 What is 241479 to the power of 1/4, to the nearest integer? 22 What is 856607 to the power of 1/8, to the nearest integer? 6 What is 3886763 to the power of 1/7, to the nearest integer? 9 What is the square root of 30265050 to the nearest integer? 5501 What is 10216739 to the power of 1/3, to the nearest integer? 217 What is 1307500 to the power of 1/7, to the nearest integer? 7 What is 726305 to the power of 1/5, to the nearest integer? 15 What is the ninth root of 1092756 to the nearest integer? 5 What is 19979523 to the power of 1/3, to the nearest integer? 271 What is 229840 to the power of 1/9, to the nearest integer? 4 What is 83740 to the power of 1/3, to the nearest integer? 44 What is the square root of 17673765 to the nearest integer? 4204 What is 341007 to the power of 1/2, to the nearest integer? 584 What is 22878136 to the power of 1/3, to the nearest integer? 284 What is the square root of 5796792 to the nearest integer? 2408 What is 335766 to the power of 1/2, to the nearest integer? 579 What is the eighth root of 1752791 to the nearest integer? 6 What is the fourth root of 16517600 to the nearest integer? 64 What is the third root of 747811 to the nearest integer? 91 What is 15694063 to the power of 1/2, to the nearest integer? 3962 What is the tenth root of 1168574 to the nearest integer? 4 What is 395056 to the power of 1/2, to the nearest integer? 629 What is the square root of 121766 to the nearest integer? 349 What is the third root of 152675 to the nearest integer? 53 What is the third root of 59352 to the nearest integer? 39 What is the eight
{ "pile_set_name": "DM Mathematics" }
git of ((-6)/(-1))/((-2)/p)? 3 Suppose -10 = -2*b + 68. What is the units digit of b? 9 Suppose 3*g + v - 175 = 0, -4*v + 284 = 5*g - 3. What is the units digit of g? 9 Suppose 5*u = 3*a - 195, 65 = a - 0*u - 5*u. What is the units digit of a? 5 Suppose 2*m = 1 + 3. Suppose 20 = m*u - 4. What is the tens digit of u? 1 Let g(o) = 3*o - 6. What is the units digit of g(5)? 9 Let d(c) = -c**2 + c + 1. Let i(t) = -11*t + 5*t + 3*t**2 - 12 - 3*t. Let y(b) = -2*d(b) - i(b). What is the tens digit of y(7)? 1 Let a(m) = m**3 + 22*m**2 + 24*m + 35. What is the tens digit of a(-20)? 5 Suppose 0 = 2*i - 4*j - 6 + 4, j = i - 1. Let c be i*2*(-6)/(-4). Suppose -c = -l + 3. What is the units digit of l? 6 Let c(y) = 110*y**2 + y + 1. Let w be c(-1). Suppose 4*p + 16 - w = 2*f, p - 41 = -3*f. Suppose 3*d = 2*s - p, -2*s + 12 = 5*d - d. What is the tens digit of s? 1 Let g(a) = -a + 8. Let c be g(8). Let v = c - 0. Let s = 6 + v. What is the units digit of s? 6 Let p = 17 + -11. Suppose -112 = p*w - 8*w. What is the units digit of w? 6 Suppose 2*k - 7 = 5. What is the units digit of 6/18 - (-22)/k? 4 Suppose 1508 = 12*q + q. What is the units digit of q? 6 Let i(m) = -m**2 - 4*m. Let d be i(-5). What is the tens digit of (-55)/d + (-2)/(-2)? 1 Let x(k) = -4*k + 10. What is the tens digit of x(-8)? 4 Let f(s) = s**2 - 4*s - 12. What is the units digit of f(7)? 9 Let l be (-2)/8 - 49/(-4). Suppose 8 = 4*p - l. Suppose a - 4*a + 20 = 2*d, p*a = 2*d + 60. What is the units digit of a? 0 Suppose k = -5*m + 2*m - 8, 5*k - 5 = 0. Let t be -74*m/6 + -1. Suppose 0*i = 2*i - 2*u - t, i - 2*u = 14. What is the units digit of i? 2 Let x = 106 + 109. What is the hundreds digit of x? 2 Let y be -3*-1*(-28)/3. Let h = -11 - y. What is the tens digit of h? 1 What is the tens digit of ((-54)/(-81))/(((-2)/(-159))/2)? 0 Let s(l) = l**2 - 6*l + 4. Let y be s(6). Let o(k) = k**2 - 3*k + 1. Let v be o(y). Suppose -f + 2 - 8 = -5*w, -26 = -4*f - v*w. What is the units digit of f? 4 Let p = -13 + 18. Let o(x) = -p*x + 2*x + 2*x. What is the units digit of o(-7)? 7 Let v(n) = 14*n - 6. What is the units digit of v(7)? 2 Suppose -3*l = l. Suppose -88 = -5*a + a - 3*b, l = 2*a + 4*b - 34. What is the tens digit of a? 2 Let t(u) = 33*u**2 - u + 1. What is the tens digit of t(1)? 3 Suppose q + 203 = 823. What is the units digit of q/16 - 3/4? 8 Let l(x) = x**3 - 14*x**2 + 16*x - 16. What is the units digit of l(13)? 3 Let b = -17 - -25. What is the tens digit of -2 + (-4)/(b/(-66))? 3 Suppose 2*x - 4*t - 66 = 0, -3*x + 4*t = x - 140. What is the tens digit of x? 3 Let k = 4 - 1. What is the units digit of (0 - k) + 2*6? 9 Suppose -6*z + 15 = 3. What is the units digit of z? 2 Suppose 14*s - 2368 - 992 = 0. What is the units digit of s? 0 Let d(w) = -w + 1. Let g(l) = l**3 - 6*l**2 + 1. Let s be g(6). Let h(f) = f**3 - f**2 - 1. Let u be h(s). What is the units digit of d(u)? 2 Let m be (-3)/(-1*(-3)/(-3)). Suppose -a = -2*i + i + 6, -m*a = 4*i - 52. What is the units digit of i? 0 Let o = 15 - 11. What is the units digit of o? 4 Let o = 13 + -7. Suppose -m - 9 = -0*h - h, -25 = 5*m. Suppose -o = -i + 3*x, -h*x = -5*i + 4*i + 7. What is the units digit of i? 3 Let f(a) = 4*a**2 - 7*a + 7. What is the hundreds digit of f(-6)? 1 Let i(g) be the second derivative of -g**3/6 - 3*g**2 - 2*g. What is the units digit of i(-9)? 3 Let a = 99 + 50. What is the units digit of a? 9 Let d = 99 - -65. What is the units digit of d? 4 Suppose -2 = -2*a + 8. Suppose 81 = a*l - 54. What is the tens digit of l? 2 Let q = -1 - -5. Suppose -g = -0*g - q. Suppose 48 = g*t + 12. What is the units digit of t? 9 What is the units digit of 49/(-4)*(1 + -5)? 9 Let k be (-3)/(-6)*-1*-32. Let z = k - 2. What is the units digit of z? 4 Suppose 2*w + 20 = -2*w. Let f = w - -8. Let g = f + 2. What is the units digit of g? 5 Let q = 54 - 4. What is the tens digit of q? 5 Let w(b) = b**3 - b**2 + b**2 - 4*b**2. Let x be w(4). Suppose j = -4*r + 17, x*j + r + 17 = 4*j. What is the units digit of j? 5 Let c = 2 - 3. Let h be c + 3 - (-3 - 1). What is the units digit of (-3)/2*(-4)/h? 1 Let m(y) = 5*y - 4. Let c be m(6). Suppose -5*z - 2*g = -37, 5*z - 7 - c = 2*g. Let r = 13 - z. What is the units digit of r? 6 Suppose 9 = 4*u - 3. Suppose u*m - m - 52 = 0. What is the tens digit of m? 2 Let w(y) = -y**2 + 6*y - 3. Let h = -11 - -5. Let r(d) = -2*d - 9. Let c be r(h). What is the units digit of w(c)? 6 Let p = 1 + 81. What is the tens digit of p? 8 Let n(b) = b**3 - 9*b**2 + 8*b. Let v be n(8). Let t(i) = -i + v*i + 4 - 5. What is the units digit of t(-5)? 4 Suppose -6*a = -4*a - 16. Suppose -8 = -4*c + 4*m, c = -c - 5*m - 31. Let z = a + c. What is the units digit of z? 5 Suppose -12 = -3*y - 5*r, 2*y = -5*r + 11 - 3. Suppose 3*m - 11 = -4*a + y*m, 2*a - 4 = 2*m. What is the units digit of a? 3 Let o(b) = -b - 2. Let h be o(-4). Suppose 3*w = -3*i - 33, -3 - 3 = -h*i. Let j = 20 + w. What is the units digit of j? 6 Let w = 1 + -2. Let l = w - -7. Let t = -4 + l. What is the units digit of t? 2 Let r(b) = -4*b**2 + 2*b + 4. Let q(z) = -3*z**2 + z + 3. Suppose 0 = -v + 2. Let j(u) = v*r(u) - 3*q(u). What is the units digit of j(-3)? 5 Let r(l) = -6*l - 6. What is the tens digit of r(-5)? 2 Suppose -2*f = 5*q - f - 30, -5*q = -3*f - 50. Let y be (q/3 - 2)*6. Suppose y*z = -0*z + 2. What is the units digit of z? 1 Let s(k) = k**2 + 12*k. Let d be s(-10). What is the tens digit of d/(-60) - (-298)/6? 5 What is the tens digit of 1/(-1 - ((-436)/108 + 3))? 2 What is the units digit of (3 + 0)*(-25)/(-15)? 5 Suppose -4*y = 3*i + 4 - 117, 5*y - 151 = -4*i. What is the tens digit of i? 3 Suppose -5*l = 3*s - 86, 2*l - s + 6 - 36 = 0. What is the units digit of l - -2 - (-1)/1? 9 Let x be (5 + -5)*1/(-2). Let g = x + 5. Suppose g*j - 13 = -3*l, -3*l - 2*l = 3*j - 27. What is the units digit of l? 6 Let x(c) = -c**2 - 5*c - 4. Let n be x(-4). Suppose 0 = -n*f - 2*f + 6. Let z(a) = a. What is the units digit of z(f)? 3 Let w = 6 - 3. Let a(l) = 4*l + l**2 - w*l - 6*l + 3. What is the units digit of a(5)? 3 Let u(l) = 2*l + 11 + l - 4 - 4*l. What is the units digit of u(6)? 1 Suppose -2*t + 3*t = 3. Let u be -7*2*t/(-2). Suppose -w - 2*w = -2*i + 14, u = 3*i + 4*w. What is the units digit of i? 7 Let y(w) = w**3 - 8*w**2 + 4. Let r be y(8). Let b(x) = 2*x**2 - 6*x + 2. What is the units digit of b(r)? 0 Suppose p = -p + 8. Let w = p - 27. What is the units digit of (-4)/6 - w/3? 7 Let w(m) = m**3 + 11*m**2 - 20*m - 12. What is the units digit of w(-12)? 4 Let j(u) = -6*u + 6*u**2 - 5*u**2 + 0*u**2. Let g be j(6). Suppose 3*l + g = -z + 14, 2*l = 0. What is the tens digit of z? 1 What is the units digit of (-8)/(-24) - 340/(-6)? 7 Let f(l) = -4*l - 1. Let g(b) be the first derivative of b**3/3 + 2*b**2 - 6*b - 1. Let a be g(-5). What is the units digit of f(a)? 3 Let w(j) = -8*j**3 - 4*j**2 + 3*j - 14. What is the hundreds digit of w(-4)? 4 Suppose -5*b = -5, -4*q + 3*b + 1552 = 495. Suppose k + 61 = d, -5*d - 2*k + q = k. Suppose -2*h + d = 2*h. What is the units digit of h? 4 Let w(j) = -19*j - 21. What is the units digit of w(-6)? 3 Let u = -9 + 24. Let n = u + -8. What is the units digit of n? 7 Let y = -59 - -83. Suppose v - y = -v. What is the units digit of v? 2 Suppose -4*u + 10 = q, 3*u + 3*q - 12 = -0*q. Let l(w) = -4*w**3 - 4*w - 1 + w + w + 3*w**3 - 9*w**u. What is the units digit of l(-9)? 7 Suppose 4*j - 5 = d, -2*j = 2*d - 0*j - 10. Let t be 0 - -6*(1 - 0). What is the units digit of t*1 + 0/d? 6 Let h(f) = f**3 - 9*f**2 - f + 1. Let b be h(9). Let i = -5 - b. What is the units digit of i? 3 Let y = -151 - -256. Suppose -y - 10 = -5*p. What is the units digit of p? 3 Let j = 10 - -9. What is the units digit of j? 9 Suppose -3*z - 2*z - 4*d + 55 = 0, 4*z - 3*d = 44. What is the tens digit of z? 1 Let p(h) = 0 + 0 - 2*h - 7*h - 2. What is the tens digit of p(-2)? 1 What is the units digit of (5 + -11)/(3 + 17/(-5))? 5 Suppose -21 = 5*c + 2*t + 23, -4*t = 3*c + 32. Let l = 12 + c. What is the units digit of l? 4 Let a = 3 - 3. Let l be -3 - (a - 42)/(-2). Let y = -5 - l. What is the units digit of y? 9 What is the units digit of 5 + -5 + 342/2? 1 Let h = 13 + 15. Let o be ((-35)/h)/(2/(-16)). Let u = -2 + o. What is the
{ "pile_set_name": "DM Mathematics" }
t is the distance between 3489 and 0.4? 3488.6 What is -24.116 + -0.1? -24.216 What is -215 plus -3? -218 Calculate -0.178 + 0.4. 0.222 Subtract -43715 from -0.2. 43714.8 Work out -15291 + -0.014. -15291.014 What is 9 + -327? -318 Calculate -8.08 + 1341. 1332.92 What is 0.4 - -5461? 5461.4 Calculate 0.09 - -77.3. 77.39 What is 1 - -0.96404? 1.96404 Calculate -21.9 - -0.066. -21.834 831.37 - -1 832.37 Calculate 5 + -23.9603. -18.9603 What is 0.22 take away -28? 28.22 Subtract 548 from 0.4. -547.6 102 + 0.2 102.2 Subtract -8 from 857. 865 Work out -1041725 - -0.5. -1041724.5 What is -270866 take away 0.4? -270866.4 15456+-0.3 15455.7 -12772+24 -12748 Work out -306 - 5.97. -311.97 Work out -675 - -0.071. -674.929 Work out 4 + 0.832. 4.832 -321 + 12903 12582 What is -0.2 less than -0.447? -0.247 What is 0.0872291 + 0? 0.0872291 Subtract -17445 from 2. 17447 -5 - -0.479 -4.521 Calculate -21583.24 + -3. -21586.24 What is -39 plus 1.04? -37.96 Calculate 0.03629 - 86. -85.96371 What is -2.513 + 0.166? -2.347 Work out 0.05 - -604. 604.05 What is 116 less than -7? -123 What is 1 plus 181052? 181053 Work out -1 - 0.27. -1.27 -1.3+-130 -131.3 Calculate -93 - 1.14. -94.14 What is the difference between -4 and 0.3339? 4.3339 What is -1163.65 minus 0.1? -1163.75 Add together 0.4 and -852061. -852060.6 What is 866 + -20? 846 Calculate 0.3 - -0.675. 0.975 0.56 - -514 514.56 What is 1019 less than 8.71? -1010.29 What is 0.007675 less than -0.2? -0.207675 What is 9431 + -0.02? 9430.98 What is the distance between 82 and -148? 230 What is 12430 plus -0.08? 12429.92 Calculate -26.501 - -3. -23.501 What is 0.1 + -0.0554? 0.0446 Add together -179.3 and -0.24. -179.54 Work out -25.88 - 377. -402.88 Subtract 0.008 from -0.2382. -0.2462 Calculate 95362 - -43. 95405 0.3 + 737.308 737.608 Total of 0 and -14418. -14418 2 - -247544 247546 Calculate -0.0916 - -50.1. 50.0084 Total of 4 and 0.38. 4.38 Put together 367 and -346.7. 20.3 Calculate -346 - 2. -348 What is 27.23 plus -574? -546.77 Work out 0.147 + 0. 0.147 -90 - 12070.9 -12160.9 4.359+1.432 5.791 What is 374621 less than 0.3? -374620.7 4704 + -107.2 4596.8 What is -7799 less than -0.1? 7798.9 Work out -297 - -12.6. -284.4 What is 10 less than -8572? -8582 Calculate -0.6 + 0.016099. -0.583901 What is -0.7 plus 4? 3.3 Sum -0.41011 and 2.4. 1.98989 Calculate -0.045 + -46449. -46449.045 Calculate -0.5 - 32902.4. -32902.9 Subtract 1.8093 from -5. -6.8093 Subtract -0.0259 from 2.379. 2.4049 What is 0.1 - 0.381003? -0.281003 Total of -39 and 19. -20 Calculate 0.5 - -0.30677. 0.80677 What is -0.873 - -0.7? -0.173 Work out -4 - 2919.4. -2923.4 What is 0.562 minus -0.1? 0.662 What is 6700 less than -18? -6718 4+3.633 7.633 Add 0.035 and 0.066. 0.101 Calculate -1 - 1474. -1475 -15+0.3 -14.7 Add 393011 and 0.5. 393011.5 3.4 + -10.879 -7.479 Calculate 1.7 - 593. -591.3 -4223.3 - 86 -4309.3 -0.66+3 2.34 What is 26 - -26? 52 What is 0.022827 - -8? 8.022827 What is 2310 - -5? 2315 What is -0.3 - 70? -70.3 What is -0.2 minus 1.0076? -1.2076 What is the difference between -5.26705 and 0.1? 5.36705 What is the difference between 0.341 and 267? 266.659 What is 1843 + -211? 1632 Sum -0.1336 and -0.1. -0.2336 2.97 + -715 -712.03 What is -15733 - 0.4? -15733.4 What is 1644 minus -3? 1647 Work out -0.1 - 88494. -88494.1 -0.3 + -1473 -1473.3 What is -4 less than -2517886? -2517882 Work out 0.0184 + -1.119. -1.1006 Work out -4.2 - 365293. -365297.2 Put together -3.6 and -0.04. -3.64 What is 0.12 minus 141? -140.88 What is -0.4 + 22? 21.6 -0.016 + 0.079 0.063 What is the distance between 0.19 and 3125? 3124.81 Calculate 16 - 1.903. 14.097 Total of -48 and 40258. 40210 What is -0.024 less than -19275? -19274.976 -4.8 + -43 -47.8 3 - -3.80881 6.80881 Subtract 78188 from -0.3. -78188.3 What is -148 take away 2152? -2300 Calculate 9 - 3455. -3446 Total of 5128 and 0.35. 5128.35 What is -32437 take away 1? -32438 Calculate 2.66672 + -5. -2.33328 What is the difference between -0.3 and -0.013387? 0.286613 Add together -3 and -1749.8. -1752.8 Work out -12.3 - 0.03. -12.33 What is 0.3 - 420317? -420316.7 -27.9 - 0.7 -28.6 What is -0.3 less than 6619? 6619.3 -0.3+0.384 0.084 What is -6 - -0.85789? -5.14211 What is -1 plus 0.0014? -0.9986 What is -0.06 plus -36197? -36197.06 What is -0.1378875 - 0? -0.1378875 What is 0.2 plus -0.26083? -0.06083 What is -25.61 minus 0.3? -25.91 Work out 0.3 - -47965. 47965.3 What is 0.1 take away 7886? -7885.9 -0.2 + -13271 -13271.2 0.4 + 14.201 14.601 What is the difference between 1.1605 and 0.38? 0.7805 Put together -0.4 and -118. -118.4 What is -15243.7 minus 1.7? -15245.4 1.182 + 7 8.182 What is the difference between 0.2 and -0.738722? 0.938722 What is -4 less than -53960? -53956 What is 1 less than -37100? -37101 Work out -1.3 - 26.13. -27.43 What is -901 take away -4.601? -896.399 -0.4371 - -4 3.5629 Put together 12093 and 0.08. 12093.08 Work out 115.9 + 5.1. 121 What is 2.7 + -0.2429? 2.4571 What is -4 less than 21900? 21904 Calculate 131.2 + 0.3. 131.5 What is 2 minus -3753? 3755 What is the difference between 0.4 and -283967? 283967.4 Work out -0.1692 - -18. 17.8308 Calculate -0.4 - 1362. -1362.4 What is 46 take away -0.7? 46.7 What is 1815.8 plus 5? 1820.8 Add together -1687 and 0.344. -1686.656 What is the difference between -33 and 388? 421 Total of -4429 and 0.0341. -4428.9659 Subtract -69439 from -1.2. 69437.8 What is -2885 less than -0.5? 2884.5 What is the difference between -1 and 5669? 5670 What is -0.5 take away -1119? 1118.5 What is 40151 plus 49? 40200 Work out -4191764 - 0. -4191764 Sum 0.29 and -3.8. -3.51 What is -228 take away -4? -224 Work out 6 - 719595. -719589 What is -17 plus 35? 18 What is -3 less than -199? -196 What is -1441 take away -8? -1433 Work out -0.042 - 0.08. -0.122 Calculate 537 + 21. 558 Calculate 744 - 8940. -8196 What is 13515 + 0.1? 13515.1 What is 42 minus -83118? 83160 What is -608 minus -9? -599 What is 0.02 minus 9507.2? -9507.18 What is 0.2046 take away -28? 28.2046 Sum -0.27 and 63. 62.73 Work out 12.789 - -8. 20.789 What is 4 + 0.212? 4.212 Work out -8585 + -15.8. -8600.8 -3.9 + 4451 4447.1 Work out 0.2 + 273. 273.2 Calculate 1 + 761107. 761108 What is -0.215 plus -497? -497.215 What is 0.5 - 619? -618.5 -36.95+-6 -42.95 What is 92879 plus -0.12? 92878.88 Work out -148413 - -20. -148393 What is -353 - 33963? -34316 Add -35 and -2566. -2601 What is -0.5 - -205.177? 204.677 Sum 2 and 424. 426 What is -0.12 less than 65.6? 65.72 What is -2 minus 2348677? -2348679 Subtract 863 from 0.236. -862.764 Work out -129 - 0. -129 0.5 - 0.0642 0.4358 Total of -1.718 and -1373. -1374.718 Calculate -3 + 904920. 904917 Work out -2.623 - 274. -276.623 What is 146.9 take away -0.4? 147.3 Sum 13.5462 and 0.04. 13.5862 What is -56.9 less than -6.28? 50.62 Calculate 4484 - -0.3. 4484.3 Work out 63.259 + -27. 36.259 400627 - 2 400625 Add together -0.3 and -0.016721. -0.316721 Work out -0.067 - 228. -228.067 Calculate 74481 + -0.1. 74480.9 Sum -2.33197 and -5. -7.33197 Add 5 and 16. 21 Add together 1487 and -0.6. 1486.4 917 + -0.6 916.4 Total of -0.5 and -141.8524. -142.3524 What is 40456 take away -6? 40462 0.041 - 148824 -148823.959 What is 8.07 minus 0.9? 7.17 What is the distance between -0.4555 and -20.3? 19.8445 Calculate 16509 - 0.362. 16508.638 Work out -25 - -0.22. -24.78 What is -500 plus -0.2? -500.2 Calculate 2 - 71733. -71731 Sum 30 and 8060. 8090 Total of -0.62 and -1493. -1493.62 What is -155 minus -2.1? -152.9 What is -0.15 take away 0.02149? -0.17149 What is -8850 + 57? -8793 Add together 89.58 and 0. 89.58 Add together 0.05 and -176053. -176052.95 What is -30 plus 0.14543? -29.85457 What is the distance between -102 and -0.7343? 101.2657 What is 0.0129 - -0.9? 0.9129 What is 0.19 + 275.3? 275.49 -0.0414 - -14 13.9586 Work out -54.29 - 93. -147.29 Total of -970 and -22. -992 What is -0.9 minus 90795? -90795.9 What is -9945 minus 4.3? -9949.3 0.4 - 607 -606.6 Add 135337 and 0.38. 135337.38 -2415.1 - -52 -2363.1 -2.15 + -3.5 -5.65 What is 2 minus 210? -208 What is -2.6 plus -0.47? -3.07 What is 0.3 take away 0.0580032? 0.2419968 Put together 3.75 and 0.49. 4.24 Work out 1.3 + -1115.5. -1114.2 What is -3 less than -81588? -81585 What is -91 plus -9.1? -100.1 What is -1
{ "pile_set_name": "DM Mathematics" }
. Let g(i) = 56*i**2 + 10*i. Let q(j) = -2*g(j) + 10*h(j). Give q(a(c)). -498458738*c**4 Let s(t) = t. Let k(i) = 805*i**2 - 3200*i**2 + 751*i**2. Calculate s(k(w)). -1644*w**2 Let s(q) = 596*q**2 - 47 - 1794*q**2 + 601*q**2 + 602*q**2. Let r(u) = -u**2. What is s(r(g))? 5*g**4 - 47 Let n(c) = 3*c**2 + 95*c. Let a(j) = 5*j**2 + 18*j. Let g(l) = -2*l**2 - 6*l. Let f(d) = -a(d) - 3*g(d). Calculate n(f(o)). 3*o**4 + 95*o**2 Let o(t) be the third derivative of -t**4/12 + 3*t**2. Let l(v) be the third derivative of 3*v**4/2 + v**3/3 + 2466*v**2. Calculate o(l(g)). -72*g - 4 Let i(l) = 9*l + 3. Let k(d) = 452*d**2 - 94. Determine i(k(w)). 4068*w**2 - 843 Let t(f) = -f**2 - 8*f - 4. Let h be t(-7). Let w(k) = -h*k**2 + 61 - 38 - 23. Let r(n) = -n**2. Calculate r(w(b)). -9*b**4 Let l(w) = -10 + 10 - 2708*w - 898*w. Let x(n) = n. Determine x(l(y)). -3606*y Let r(j) = 619*j. Let g(a) = 7*a - 25. Let u(x) = -8*x + 30. Let k(y) = -6*g(y) - 5*u(y). Give k(r(f)). -1238*f Let y(d) = 8*d**2 - 3*d. Let b(s) be the second derivative of s**4/6 + 5*s - 79. Calculate y(b(v)). 32*v**4 - 6*v**2 Let j(b) = 3*b**2. Suppose -2*a + 4*a = 2*k + 8, -2*k + 12 = 3*a. Let d(i) be the second derivative of 0*i**2 - 5*i - 7/12*i**a + 0 + 0*i**3. Give d(j(x)). -63*x**4 Let m(a) = -1. Let p(w) = -w + 1. Suppose -2 = 2*y - 0. Let u(v) = y*p(v) - m(v). Let f(b) be the third derivative of -13*b**4/12 - 14*b**2. Determine u(f(o)). -26*o Let p(x) = 1544*x**2 + 1. Let t(n) = -257323*n. Give p(t(c)). 102236155051976*c**2 + 1 Let p(u) be the third derivative of u**6/360 + u**4/8 + 13*u**3/2 + 54*u**2. Let k(m) be the second derivative of p(m). Let w(a) = -54*a - 1. What is w(k(b))? -108*b - 1 Let a(j) = -34*j**2 - 518*j + 27*j**2 + 518*j. Let i(u) = -43*u. Calculate i(a(t)). 301*t**2 Let u(m) = -7*m**2. Let i(h) = -113*h + 132*h + 114*h + 143*h + 131*h. Give u(i(q)). -1159543*q**2 Let k(w) = 2*w - 23. Let s(m) = -m**2 + 6*m - 2. Let a(b) = 15*b - 5. Let x = 34 + -36. Let r(c) = x*a(c) + 5*s(c). Determine k(r(j)). -10*j**2 - 23 Let w(g) = 1310 - 675 + 2*g**2 - 635. Let h(s) = -203*s**2 - 1. What is h(w(j))? -812*j**4 - 1 Let r(g) be the second derivative of 0 + 0*g**2 - 33*g - 7/3*g**3. Let b(u) be the third derivative of u**5/20 + 4*u**2. Determine b(r(x)). 588*x**2 Let a(x) be the second derivative of 13*x**4/2 + 88*x - 9. Let p(k) = 2*k**2 + 8*k. Calculate p(a(l)). 12168*l**4 + 624*l**2 Let o(w) = 25*w**2. Suppose -r - 10 = 5*n, 79 = r - 5*n + 69. Let m(d) be the third derivative of r + 0*d**3 + 21*d**2 + 1/12*d**4 + 0*d. Give o(m(p)). 100*p**2 Let u(h) = h + 90. Let z(s) = -18*s - 7. Let a be (21/(-2))/(5/(-10)). Let i(q) = -5*q - 2. Let n(v) = a*i(v) - 6*z(v). Determine u(n(g)). 3*g + 90 Let l(m) = 11*m. Let k(f) = -9*f. Let v(w) = 3230*w. Let q(x) = 722*k(x) + 2*v(x). Calculate l(q(g)). -418*g Let b(h) = 552*h. Let g(t) be the second derivative of -t**4/6 + 160*t + 3. Determine b(g(m)). -1104*m**2 Let x(a) = 4*a. Let p(g) = -7110 + 192*g - 217*g + 7110 - 812*g. Determine p(x(n)). -3348*n Suppose 0 = 179*l - 180*l + 6. Let h(d) = 25*d + l*d + 19*d - 12*d. Let g(m) = -3*m**2. Give h(g(q)). -114*q**2 Let x(d) = 38*d. Let h(m) = 84122*m**2 - 1. Give h(x(i)). 121472168*i**2 - 1 Let k(o) = -2*o. Let n(y) be the second derivative of 0 + 1/6*y**3 - 39/2*y**2 + 152*y. Give n(k(j)). -2*j - 39 Let m(n) be the third derivative of -n**8/5040 - 13*n**5/20 + 82*n**2. Let p(v) be the third derivative of m(v). Let z(o) = -2 + 2 - 5*o. Calculate z(p(r)). 20*r**2 Let b(c) be the first derivative of 6*c**2 - 36. Let t(y) = -104*y. Determine b(t(r)). -1248*r Let g(l) = -15*l**2. Let k(y) be the second derivative of 43*y**4/6 + 120*y - 3. Calculate k(g(v)). 19350*v**4 Let x(n) = -3*n**2 - 2*n + 2. Let o(a) = 4*a**2 + 3*a - 3. Let w(p) = 2*o(p) + 3*x(p). Suppose -29 = -2*f - 17. Let i(b) = -7*b - f*b - 8*b. Determine w(i(j)). -441*j**2 Let g(r) = -62*r**2 + 40*r + 34. Let h(c) = -41*c**2 + 26*c + 22. Let b(o) = -11*g(o) + 17*h(o). Let l(m) = m - 36. What is b(l(t))? -15*t**2 + 1082*t - 19512 Let z(k) = 32356*k**2. Let r(x) = 2040*x**2. Determine z(r(v)). 134652729600*v**4 Let g(s) be the third derivative of s**4/24 - 12*s**2 + s + 4. Let c(o) = o. Let f(j) = -134*j. Let b(y) = 3*c(y) + f(y). Give g(b(n)). -131*n Let q(t) = 4*t**2. Let r be -3 + 24 + 0/(-4). Let w(p) be the first derivative of -1782*p - r + 1782*p + 3*p**3. Calculate q(w(a)). 324*a**4 Let k(u) = -2*u**2. Let z(r) be the third derivative of 0*r**3 + 0 - r**2 - 1/10*r**5 - 9*r + 0*r**4. What is z(k(g))? -24*g**4 Let r(p) = 14*p**2 + p + 76. Let n(k) = 3*k. Determine r(n(g)). 126*g**2 + 3*g + 76 Let g(q) = -15*q**2 - 6*q + 24. Let o(d) = 46*d**2 + 19*d - 76. Let m(j) = -19*g(j) - 6*o(j). Let a(i) = -983*i. Give a(m(r)). -8847*r**2 Let a(z) = -4*z**2. Let h(i) = -30522567*i. Give a(h(k)). -3726508385077956*k**2 Let g(c) = -46*c + 14. Let v(o) = 9*o - 10. Let s(p) = 2*p - 2. Let n(q) = -15*s(q) + 3*v(q). What is g(n(t))? 138*t + 14 Let x(d) = 2*d - 95. Let w(q) = 3*q + 95354. Determine w(x(v)). 6*v + 95069 Let t(s) = s + 3. Let g(c) = 2*c**2 - 3*c - 2. Let m be g(-1). Let r(b) = -2*b - 5. Let y(d) = m*r(d) + 5*t(d). Let n(o) = o**2. Determine y(n(p)). -p**2 Let t(o) = 2 - 293548*o - 2 + 293570*o. Let v(u) = -14*u. Determine t(v(a)). -308*a Let d(m) = m. Let g(p) = -2*p - 383. Let s(a) = 138. Let i(u) = g(u) + 2*s(u). Determine i(d(x)). -2*x - 107 Let t = 653 - 650. Let i(c) be the second derivative of 0*c**t + 0 + 0*c**2 - 20*c - 7/12*c**4. Let q(v) = v. Give q(i(a)). -7*a**2 Let j(d) = -226*d**2 + 2. Let b(g) be the first derivative of g**3/3 + 238*g + 29. Let w(q) be the first derivative of b(q). Determine w(j(c)). -452*c**2 + 4 Let x(u) = 55014726*u. Let v(c) = -4*c**2. What is x(v(j))? -220058904*j**2 Let d(c) be the first derivative of c**3/3 + 153*c + 85. Let q(v) be the first derivative of d(v). Let l(t) = -5*t. Determine l(q(y)). -10*y Let u(s) be the third derivative of -5*s**4/8 - 7747*s**2. Let m(j) = -779*j**2. Calculate m(u(y)). -175275*y**2 Let s(d) = 7*d**2 + 7*d**2 + 6*d**2. Suppose -2*a + b + 8 = 0, 1 = 2*a + a + 4*b. Let n(g) = -253*g + 0*g**2 - a*g**2 + 253*g. Determine n(s(u)). -1200*u**4 Let d = -25 + 29. Suppose -d*j + 5*v = 8, -4*j - 4*v = -26 - 2. Let m(b) = 3. Let x(c) = c + 4. Let h(y) = j*x(y) - 4*m(y). Let u(o) = 18*o. Determine u(h(p)). 54*p Let h(r) = -20603514*r. Let f(o) = -o**2. Give h(f(v)). 20603514*v**2 Let x(c) = -c**2. Let l be (-10 - 642/(-9))*1*3. Let n(q) = -15*q + l*q**2 - 39*q**2 + 15*q. Determine x(n(m)). -21025*m**4 Let v be (-1253)/(-77) + ((-6)/(-8) - 1350/1320). Let f(u) be the third derivative of 0*u - 1/12*u**4 + 0 + v*u**2 + 0*u**3. Let n(x) = -9*x. Determine n(f(a)). 18*a Let w(h) = h - 19. Let s(t) = -2*t**2 - 3*t + 1283. Give s(w(r)). -2*r**2 + 73*r + 618 Let w(f) = -16596*f. Let m(y) = 9*y**2 - 48*y - 4. What is m(w(q))? 2478844944*q**2 + 796608*q - 4 Let k be (-56)/21 + 3 + 55/(-3). Let b be (965/(-3) + -4)/(1/k). Let s(p) = b*p - p**2 - 5862*p. Let l(f) = 19*f. Give l(s(j)). -19*j**2 Let s(h) = -6529086*h. Let z(m) = -32*m**2. Determine z(s(v)). -1364126847852672*v**2 Let r(y) = -y. Let q(t) = 4*t**2 - 104688426. Determine r(q(l)). -4*l**2 + 104688426 Let m(y) = 1049*y**2 + 595*y**2 + 764*y**2 - 443*y**2. Let a(f) = 5*f**2. Give m(a(p)). 49125*p**4 Let p(f) = -2*f. Let d(h) = -114075*h**2 + 411*h. Give d(p(k)). -456300*k**2 - 822*k Let d = 2409 - 2406. Let k(i) be the first derivative of -7 - 1/3*i**d + 0*i**2 + 0*i. Let v(w) = 12*w**2. Give v(k(x)). 12*x**4 Let q(s) be the third derivative of -8*s**4/3 + s**3/2 + 2*s**2 + 405*s - 1. Let o(m) = 9*m**2. What is q(o(c))? -576*c**2 + 3 Let y(l) = -3*l. Let j(a) be the second derivative of 18*a**2 + 0*a**4 - 1/6*a**5 + 0 - 6*a + 0*a**3. Let n(b) be the first derivative of j(b). What is n(y(h))? -90*h**2 Let n be 2/(-2) - -3*1. Let s(k) = -3*k**n + 3*k**2 - k**2. Let y(t) = 1402*t**2 - 1415*t**2 + 168 - 168. Calculate s(y(i)). -169*i**4 Let m(b) = 105*b. Let s(k) = 13*k**2 + 20*k - 5. Let l(j) = 66*j**2 + 104*j - 26. Let r(o) = 5*l(o) - 26*s(o). Determine r(m(v)). -88200*v**2 Let y(n) = n**2 + 0*n**2 + 3*n**2. Let j(t) be the first derivative of 0*t + 46 - 13/3*t**3 + 0*t**2. Determine j(y(m)). -208*m**4 Let g(c) = -11121*c**2. Let m(p) b
{ "pile_set_name": "DM Mathematics" }
se 5*x + 6 = 4*x. Let w be -12 + (-1 - -3 - 0). Let a be w/(-1 + x/(-10)). Solve -4*j = -3*t + 5*t + 16, -5*j - a = 0 for t. 2 Let i = 44 - 40. Suppose n - 2 = -0. Solve -j - j - 2 = -i*s, 8 = -2*s - n*j for s. -1 Let a(v) = v**2 + 9*v + 21. Let t be a(-6). Solve 4*p - 14 = t*p + 4*k, p - 5 = k for p. 2 Let n = -27 + 43. Solve r = 3*w - n, -2*w + 2*r = 2*w - 22 for w. 5 Let a be (1/2)/((-6)/(-72)). Let h be (-9 + -1)/(-2 + 0). Suppose -3*n + 5 = -16. Solve 2*f = p + a, -h = 2*f - n*f for p. -4 Suppose -5*g + 2 = 17. Let j be (3*-5)/g + -1. Solve 3*x - x = s - 1, 4*x = j*s - 12 for s. 5 Let c = 32 + -24. Solve -g + w = g + 8, 4*w = c for g. -3 Suppose 0 = -0*t - 5*t + 65. Let a(b) = 3*b + 2 - 2 - 2 + 2*b. Let d be a(2). Solve -2*n - d = 4*l, 5*n + 7 = 5*l - t for l. 0 Let v(o) = -o - 4. Let a be v(-9). Solve -a*j - 12 = 2*f - 3*f, -15 = j + 4*f for j. -3 Suppose -6*x = -5*p - 3*x + 29, 0 = 2*x + 6. Solve 5*y - 17 = -2*l + 9, -p*y + 31 = 5*l for l. 3 Suppose -c + l + 0*l = -20, -3*c + 45 = 2*l. Let u = 21 - c. Solve 3*h = h - b, 0 = -u*b for h. 0 Let s(y) = -3*y - 4. Let z be s(-2). Solve 5*a = z*h + 23, 4*a = -3 + 15 for h. -4 Let z = -36 - -50. Solve v + 10 = 3*s, 3*s + z = 3*v + 5*s for v. 2 Let p(j) = 20*j**3 + j**2 - 2*j + 1. Let i be p(1). Suppose -5*q = -q - i. Solve 5*k = -4*w - w - q, w + 5*k - 11 = 0 for w. -4 Suppose 0*w + 5*x = -4*w + 72, -5*w + 49 = -4*x. Solve 0 = 3*j + c - 8, -c = 5*j + c - w for j. 3 Let w = -5 + 7. Let p = -4 + 13. Let c = 15 - 1. Solve -w*j - 4*u + c = 0, u - 4*u = -p for j. 1 Let u(v) = v**3 - 5*v**2 + 3*v - 12. Let l be u(5). Solve g = 2*s - 1, -l*g - 12 = 3*s - 0*g for s. -1 Let m be (30/5)/((-6)/(-4)). Let n be 2/m - (-1)/2. Solve 2*f - 7 = -3*t, f + 2 = n for t. 3 Let c(q) = -q + 6*q - 3 - 4*q. Let j be c(5). Solve 3*t = y - 12, 5*y = -2*t + j*y + 3 for t. -3 Let b = 0 - -3. Solve -1 = g, -b*p - 2*g + 6*g + 7 = 0 for p. 1 Suppose -4*q + 3*p + 11 = 0, -q - 1 = -0*q + 3*p. Let b(m) = m**3 + 15*m**2 + 13*m - 14. Let o be b(-14). Solve -5*w = q*a + 30, -w + o*w + 21 = -5*a for w. -4 Suppose 5*t - 12 = -0*k - k, 0 = k - 2. Suppose -4*d = 2*b - 0 + 2, -3 = 2*b + 5*d. Let z be ((-1)/(-2))/(b/2). Solve u + z = t*r - 2, 0 = 2*u - 2 for r. 2 Suppose 0*k = -2*k + 4. Suppose 5*y + 25 = n, -n = -2*n - 2*y - 10. Solve -a - 16 = k*h - 5*a, -h - a + 7 = n for h. 2 Let m = -98 - -46. Let t = -34 - m. Solve -5*h + t = 5*x - 3*x, -4*h - 8 = -4*x for x. 4 Let i(t) = -2*t + 12. Let r be i(5). Solve -r*k + 6 = g, -4*k - 1 + 9 = 4*g for k. 4 Let j be 66/4 - 6/12. Let g = j - 9. Solve -3*r + 5 = -2*h, -2*h + 3*r - g = -2*r for h. -1 Let j be 1*(14 + (-6)/2). Let t = j - 8. Solve 4*k + p = -9, -2 = -t*k - 0*p + p for k. -1 Suppose y - 5*y = 0. Suppose -2 + 0 = -p, -h + 2*p = y. Solve 0 = 3*s + h*j - 28, 0 = -3*s + 5*j - 2*j for s. 4 Suppose g = -0*o - 2*o + 18, -2*o = 4*g - 12. Suppose -5*w + w = 5*a + 2, -o = a + 4*w. Solve -p + 12 = -2*y, y = a*p - 0*y - 12 for p. 4 Let m be -3 + (-1)/(-2)*-14. Let k = m - -15. Solve 3*y - k*c - 9 = -0, 5*y + 2*c = 15 for y. 3 Suppose -5*j + 4*b - 9 = -1, 4*j + 2*b - 4 = 0. Solve j = 5*s - 2*n + 35, 25 = 5*n - 0 for s. -5 Let z(d) be the third derivative of d**6/120 - d**5/30 - 8*d**2. Let t be z(2). Solve -3*f = -v - 9, -f + 10 = 2*v - t*v for f. 4 Let z = -75 - -77. Suppose 3 = -3*x - 3*j, 0*j = -5*j - 5. Solve -5*m + z*m + 6 = x, 2*a + 3*m = 0 for a. -3 Suppose -3*w - 4*m = 4, 0 = -5*w - m - 4*m - 5. Solve 3*k - 4*l - 23 = 0, w*k + k + 2*l - 1 = 0 for k. 5 Suppose 3*f - 4*z = -21, 0*f + z = -4*f - 9. Let y = 7 + f. Suppose v + y*v - 55 = 0. Solve -3*j = 1 + v, l + 16 = -5*j for l. 4 Let c(j) = j + 5. Let k be c(-5). Suppose k = -2*w + 5 + 11. Solve -2*i + 5 = -b, -3*b + 25 = -5*i - w*b for i. 0 Suppose 15 = 5*x, 7*l + 28 = 8*l + 3*x. Solve 2*c + 3*c - l = -2*n, 5*n + 2 = 4*c for c. 3 Suppose -3*x = 4*d - 3*d - 5, 5*x = d + 11. Solve -4*c + 2 = -2*l - x*c, -4*l - 2*c = 10 for l. -2 Let y = 0 + 3. Suppose -5*q + 0*t + 5 = 2*t, 30 = 5*q - 3*t. Suppose 3*w + 11 = 2*c, 0*w = -q*c - 3*w + 9. Solve -3*v + c = 4*a, -2*a - 4*v = y*a - 6 for a. -2 Suppose -o - 2 = -0*o. Let w be (6 - 11)*o/(-5). Let s be 0/(0 + -1) - w. Solve -u - 7 = -5*n + s*n, 0 = -n + 4*u - 5 for n. 3 Let q = 2 + 1. Let x be (3 - (0 - -3))/q. Solve -5*r + 2*c + 10 = 0, x = -4*r - 5*c + c + 36 for r. 4 Let g be (-2)/((-2)/17) - -3. Solve -4*b - 5*j + 5 = 0, -5*b - g = 2*j - j for b. -5 Suppose 0 = 4*p - 243 - 33. Solve 4*v = -h - 16, 5*v + p = 5*h + 24 for h. 4 Let t(c) = -c**3 - 13*c**2 - 12*c + 4. Let h be t(-12). Solve 0 + 6 = -4*u + 5*p, -u = h*p + 12 for u. -4 Let o be 0 + 6 + 5/(-2 + -3). Solve 0*m - 40 = -o*r + 5*m, -3*m = 4*r - 4 for r. 4 Let s(v) = 8*v**2 + 3*v + 1. Let n be s(-2). Let x = n + -13. Solve 0*r - x = -3*q - 4*r, 0 = -4*r + 20 for q. -2 Let a(p) = p - 1. Let f be a(3). Suppose 0 = 2*n + n - 3*t, f*n + 8 = 4*t. Suppose n*s = s + 6. Solve 0 = 3*i + i + s*j - 8, 0 = j + 4 for i. 4 Suppose 2 = 2*i - i. Suppose y + i = -1. Let k be (-1 - y/(-3)) + 5. Solve k*v = -g + 12, 0 = -5*g - 0*v + 2*v + 9 for g. 3 Let m(a) = -a + 15. Let g be m(10). Solve 2*t - 3*q + g = 4*t, 5 = 3*t + 4*q for t. -5 Let i = -25 - -27. Solve x + 7 = 3*q, -3*x + 1 = i*q - 0 for x. -1 Let q be (8/(-10) + -1)*-5. Suppose -o + q = 2*o. Suppose o*u + 5*f - 26 = -1, -2*u = -f - 8. Solve -7 = 3*i - 3*y + u*y, -5*y = -5 for i. -3 Let s be (-3 + 4 - 1)*-1. Solve 6*l = l, s = 2*n + 5*l + 10 for n. -5 Suppose 3*c - 3 - 3 = 0. Solve -2*p + c = 0, -5*o + p = 2*p - 11 for o. 2 Let o(n) = -2*n - 7. Let x be o(-6). Solve 4 = -i - 4*c, -x*c = -i + 6*i + 5 for i. 0 Suppose 21*s + 9 = 24*s. Solve s*h + 4*q = -10, h - 1 = -h + 5*q for h. -2 Let n(p) = p**2 + 21. Let b be n(0). Let g = -12 - -17. Let u = -12 - -12. Solve -5*t - 2*r + b + 5 = u, g*r = -t + 19 for t. 4 Let k be (-5)/1*6/5. Suppose -26 = 3*a - 3*m + m, m + 32 = -3*a. Let j = k - a. Solve 12 = 8*g - 4*g + s, s = j*g - 4 for g. 2 Let f be 1 + 17 + 1 - 3. Solve 0 = 3*p - 5*r - 23, -p = 4*r + f - 1 for p. 1 Let m(s) = 3*s - 7. Let b(a) = -7*a + 15. Let o(i) = 2*b(i) + 5*m(i). Let p be o(7). Let f = p + 0. Solve 0 = -v - 5, f*l + 4*v + 20 = 3*l for l. 0 Let l(t) be the second derivative of -t**3/6 + 11*t**2/2 - 2*t. Let f be l(8). Solve 4*h + 10 = -f*v + 2*v, -11 = -4*v + h for v. 2 Let r(j) = j**2 - 11*j - 6. Let x be r(11). Let v be (-2)/x - (-40)/15. Solve 12 = v*c, m + 1 = c - 3 for m. 0 Let k(x) = x + 11. Let z be k(0). Suppose 5*a = -41 + z. Let c be ((-20)/a)/((-1)/(-3)). Solve -j + 4*t + 7 = 0, 7*t + c = 2*t for j. -1 Let r be 55/22*(-36)/(-15). Solve -r = -3*o, -d - o + 5 = -0*o for d. 3 Let j(s) = 2*s + 7. Let u be j(-5). Let o be u/(-15) + (-2)/10. Solve -2*r - 12 = 3*w, 4*w - w + 3*r + 15 = o for w. -2 Suppose -4*g = -g - 21. Suppose -g = -b + d, b - 5*d = 3 + 24. Suppose b*c - 8 = 2*r, 0*c + 5*r = 2*c - 5. Solve -5*f = -5*i, 2*i - 2 + 9 = -c*f for f. -1 Let j = 4 - -1. Solve 3*w - 4*t = 17, 4*t + 1 = w + j*t for w. 3 Let c be (-42)/(-9)*9/6. Let a = -4 + c. Solve v = -5*d - 9, a*v - v + 13 = -5*d for v. -4 Suppose 14 = 5*m - 3*m. Let f(j) = j - 2. Let d be f(m). Let a be (-34)/(-10) + 6 + (-96)/15. Solve 0 = -o - d*q - 0*q - 15, -a = -5*o + q for o. 0 Suppose x + 2 - 4 = 0. Solve -2*g = -x*v, -2*v = 2*v + 4*g - 8 for v. 1 Let t(y) = -y**3 + 8*y**2 - 11*y - 10. Let r(a) = -a - 1. Let z(s) = -5*r(s) + t(s). Let v be z(7). Solve 0 = 5*m + 5*p, -v*m - p + 6 = -2*p for m. 2 Let i(j) = -5*j**3 + 2*j**2 + 4*j + 2. Let r be i(-1). Solve 5*v = r*z - 20, 14 = z - 2*v - v for z. -1 Suppose 0*i - 2*i + 12 = 0. Let o = 10 - i. Solve -3*y + o*w + 18 = -10, -3*y - 2*w = -4 for y. 4 Let o = -7 + 27. Solve 3*m + 15 + 0 = 0, m - o = -5*q for q. 5 Let l(x) = 2*x**2 + 5*x + 2. Let q be l(-5). Let h be (-6)/q + 320/(-18). Let u be 4/h + 56/9. Solve 2*w = 0, 6 = 2*z - 2*w + u*w for z. 3 Suppose 2*d - d - 2 = 0. Solve q + 0*q + 15 = 2*v, -d*v = q - 5 for q. -5 Suppose 5*o - 81 = -4*d, 7*d - 4*d + 3*o = 63. Suppose -5*g + c + 2 = -3, -d = -2*g - 4*c. Solve -4*l = -g*w + 6 - 0, 0 = -4*l + 5*w + 9 for l. -4 Let p(j) = 4 - 9 - j**2 + 12 + 8*j. Let b be p(7). Solve 0 = -4*i - 2*c + 4, -4*i = -0*i - 3*c - b for i. 2 Let q be 2/(-1)*(-50)/20. Solve 7*a + q*b = 2*a + 40, -4*a + 24 = 2*b for a. 4 Suppose -t = -3*n + 10
{ "pile_set_name": "DM Mathematics" }
/10*g**3 + 1/20*g**4 + 4*g**r. Factor s(v). 3*(v + 1)**2/5 Let f(d) be the second derivative of -d**6/24 - d**5/4 + 5*d**4/4 + 20*d**3/3 + 11*d**2 - 33*d. Let x(c) be the first derivative of f(c). Factor x(p). -5*(p - 2)*(p + 1)*(p + 4) Let h = 10 + -5. Suppose 28 = h*z + 4*r, -z = -6*z - 2*r + 24. Factor 0*l**z - 4*l**4 - 3*l**2 + 4*l**2 + 3*l**4. -l**2*(l - 1)*(l + 1) Factor 2/3*j**2 - 1/3*j - 2/3*j**4 + 1/3*j**5 + 0 + 0*j**3. j*(j - 1)**3*(j + 1)/3 Let h(a) be the third derivative of a**8/1344 - a**6/240 + a**4/96 + 26*a**2 + 4. Factor h(u). u*(u - 1)**2*(u + 1)**2/4 Let u be (2/(-8))/(31/(-248)). Let f(s) be the third derivative of -1/30*s**5 + 0 + 0*s + 1/180*s**6 + 4/9*s**3 - 2*s**u + 0*s**4. What is d in f(d) = 0? -1, 2 Let q(t) be the second derivative of -t**7/21 - 4*t**6/15 + 9*t**5/10 + 8*t**4/3 - 20*t**3/3 - 18*t - 2. Solve q(y) = 0. -5, -2, 0, 1, 2 Let b = -629 + 3775/6. Let d(m) be the first derivative of -2/3*m**2 + 3 + 0*m - 2/9*m**3 + b*m**4. Factor d(q). 2*q*(q - 2)*(q + 1)/3 Let d = -1020 + 1024. Let p(w) be the first derivative of 3*w**2 - 8 - 4*w + 2/3*w**3 + 2/5*w**5 - 3/2*w**d. Suppose p(b) = 0. What is b? -1, 1, 2 Determine i so that 9*i - 37/4 + 1/4*i**2 = 0. -37, 1 Let i(s) = 2*s + 49. Let l be i(-22). Solve 5*d**4 + l*d**3 - 5 + d - 11*d + 5*d**3 = 0 for d. -1, 1 Let p(c) be the second derivative of c**7/21 + 2*c**6/5 + 4*c**5/5 - c**4/3 - 3*c**3 - 4*c**2 - c - 13. Factor p(b). 2*(b - 1)*(b + 1)**3*(b + 4) Let m(d) be the second derivative of 11*d + 1/7*d**7 + 33/40*d**5 - 13/20*d**6 + 0*d**2 + 0*d**3 - 1/4*d**4 + 0. Find u such that m(u) = 0. 0, 1/4, 1, 2 What is o in -4/3*o**3 - 4 - 4/3*o**2 + 20/3*o = 0? -3, 1 Let c be -7*((-1)/(-3))/(14/(-42)). Find j, given that c*j + 2 + 7 + j**2 - 17 = 0. -8, 1 Let x be -1 + (-10)/(-3) + (62 - 64). Let f(q) be the second derivative of q**2 + 5/6*q**3 + 1/20*q**5 + 0 + x*q**4 - 4*q. Factor f(o). (o + 1)**2*(o + 2) Suppose 0 - 2*d**4 - 56/5*d**3 + 94/5*d**2 - 28/5*d = 0. What is d? -7, 0, 2/5, 1 Let w be (-38)/(-589) - (-19)/186. Let o be ((-2)/(-6))/((-1)/(-6)). Determine u so that 1/6 - w*u**3 + 1/6*u - 1/6*u**o = 0. -1, 1 Let d = 15745/6 + -2624. Factor 1/3*y**2 + 0*y + 0 - 1/2*y**3 + d*y**4. y**2*(y - 2)*(y - 1)/6 Let g = 1887/2 + -943. Factor -1 + g*s + 1/2*s**2. (s - 1)*(s + 2)/2 Let a(h) = 3*h**2 - 30*h + 4. Let n(d) = 1. Let b(i) = -a(i) + 4*n(i). Factor b(y). -3*y*(y - 10) Let a be (-2)/(-4) - 10/(-4). Let o be (-1)/a*0 + 24. Solve -4*h**3 + 0*h**2 + o*h**4 - 19*h**4 + 5*h**2 - 6*h**3 = 0. 0, 1 Let y(g) be the second derivative of -24*g + 0*g**3 + 2/21*g**7 + 0*g**4 + 0*g**6 + 0 + 0*g**5 + 0*g**2. Factor y(r). 4*r**5 Let f = 49483/40 - 1237. Let u(w) be the second derivative of f*w**5 + 14*w + 3*w**2 - 1/4*w**3 + 0 - 1/2*w**4. Find h such that u(h) = 0. -1, 1, 4 Let c(l) = 5*l**2 + 35*l + 57. Let g(r) = 2*r**2 + 17*r + 29. Let p(o) = -3*c(o) + 7*g(o). Find f, given that p(f) = 0. -2, 16 Suppose 0 = 3*l - 4*r - 19 - 1, -5*r + 45 = 5*l. Let z be (35/14)/(10/l). Factor -6/11*w - 2/11*w**z - 4/11. -2*(w + 1)*(w + 2)/11 Let l(j) be the second derivative of -j**6/15 + j**4 + 8*j**3/3 + 3*j**2 + 616*j. Solve l(p) = 0 for p. -1, 3 Let g(c) be the second derivative of c**4/24 + 2*c**3/3 + 55*c. Factor g(j). j*(j + 8)/2 Let w(f) be the first derivative of f**3/24 + 147*f**2/8 + 21609*f/8 - 158. Factor w(m). (m + 147)**2/8 Suppose 242*z - 244*z + 4 = 0. Let t(y) be the second derivative of 1/105*y**6 + 0*y**2 + 1/70*y**5 - 1/42*y**4 - 1/21*y**3 - z*y + 0. Factor t(j). 2*j*(j - 1)*(j + 1)**2/7 Let u = 0 + 2. Let n(x) = -19*x**3 - 2*x**2 + 3*x + 4. Let y be n(-1). Factor w**2 + u*w + y*w - 6*w**2. -5*w*(w - 4) Let k(n) be the second derivative of n**7/126 + n**6/18 + 7*n**5/60 + n**4/12 + 16*n + 3. Factor k(t). t**2*(t + 1)**2*(t + 3)/3 Let s(o) = -3*o - 16. Let r be s(-7). Let x be 3*8/(r + -1). Solve 6*z**3 + 2*z**3 + 8*z - x*z**2 + 14*z**2 + 2 + 4*z**2 + 2*z**4 = 0. -1 Let y(c) = 5*c**5 - 14*c**4 + 2*c**3 + 54*c**2 + 23*c - 10. Let k(o) = o**5 + o**4 + o**2 + 2*o + 1. Let t(s) = -2*k(s) + y(s). Suppose t(a) = 0. Calculate a. -1, 1/3, 3, 4 Let n(h) be the third derivative of -h**5/12 + 185*h**4/12 - 6845*h**3/6 + 162*h**2. Factor n(v). -5*(v - 37)**2 Let r = 174 - 521/3. Let s = 503/3 + -167. Factor -1/6*d**4 - 2/3*d**3 + s*d + 1/2 - r*d**2. -(d - 1)*(d + 1)**2*(d + 3)/6 Suppose -22*o + 11 + 33 = 0. Let b(f) be the first derivative of 1/5*f**5 + 0*f**o + 0*f - 1/3*f**3 + 0*f**4 - 7. Factor b(p). p**2*(p - 1)*(p + 1) Suppose -6*m = -m - 15. Solve 13 + 3 - 33*j**3 - 16*j + 37*j**m - j**2 - 3*j**2 = 0 for j. -2, 1, 2 Suppose -5*v + 70 = -280. Let s = v - 67. Factor -4/7*n + 0 + 0*n**2 + 4/7*n**s. 4*n*(n - 1)*(n + 1)/7 Suppose -3*k - 3*y = 0, 3*k - 7 - 5 = y. Factor -k*i**3 - 56*i - 10*i**2 + 56*i - 2*i**3. -5*i**2*(i + 2) Suppose 234 + 468 = 13*u. Let t be (-294)/(-135) - 2 - (-12)/u. Factor 4/5*s**3 - 4/5*s**2 + 6/5*s**4 - t - 6/5*s + 2/5*s**5. 2*(s - 1)*(s + 1)**4/5 Let q(o) be the second derivative of 0*o**2 - 3/20*o**5 + 1/30*o**6 + 0*o**3 + 0 - 6*o + 1/6*o**4. Let q(k) = 0. Calculate k. 0, 1, 2 Let x(f) be the second derivative of f + 4/45*f**6 + 1/5*f**5 + 2/9*f**4 + 1/9*f**3 + 1/63*f**7 + 0 + 0*f**2. Find g such that x(g) = 0. -1, 0 Let a(d) be the first derivative of d**4/96 + d**3/16 + d**2/8 - 10*d - 16. Let j(z) be the first derivative of a(z). Factor j(f). (f + 1)*(f + 2)/8 Determine f so that -158*f**2 - 151*f**2 + 72*f**3 - 154*f**2 + 614*f**2 - 72*f + 4*f**4 - 155*f**2 = 0. -18, -1, 0, 1 Let u be 4/(-18)*1 + 220/(-60) + 4. Factor 1/9*w - 2/9 + u*w**2. (w - 1)*(w + 2)/9 Let w = 1999 + -1999. Factor 6/5*g + w + 2/5*g**2. 2*g*(g + 3)/5 What is a in -8/9*a**3 + 2*a - 2*a**2 + 0 = 0? -3, 0, 3/4 Let l(q) be the first derivative of 2*q**3/21 - 12*q**2/7 + 22*q/7 - 245. Suppose l(r) = 0. Calculate r. 1, 11 Let u = -374 + 377. Let d(k) be the third derivative of -1/240*k**5 + 13*k**2 + 0*k + 0 - 5/48*k**4 - 25/24*k**u. Solve d(j) = 0. -5 Let b(a) be the second derivative of -a**4/54 - 17*a**3/27 - 16*a**2/9 + 282*a. Factor b(q). -2*(q + 1)*(q + 16)/9 Let u be -1*(-2*5 + 0). Let r(b) = 122*b + 491. Let t be r(-4). Determine o so that -35*o - 2*o**2 + 5*o**5 - 1 - 17*o**2 - 9 + 10*o**4 - 21*o**2 - u*o**t = 0. -1, 2 Suppose -107*s + 100*s = -21. Let u(k) be the first derivative of -48*k**2 + 88/3*k**s + 4/5*k**5 - 5 - 8*k**4 + 36*k. What is r in u(r) = 0? 1, 3 Suppose -3*h = -12*h + 171. Let u(r) = r**3 - 18*r**2 - 19*r. Let k be u(h). Factor -2/7*t + k + 2/7*t**2. 2*t*(t - 1)/7 Let c(v) be the second derivative of -v**4/54 - 2*v**3/9 - v**2 + 185*v. Find i, given that c(i) = 0. -3 Let h(x) be the third derivative of -x**5/15 + 10*x**4/3 + 14*x**3 + x**2 + 148. Determine f, given that h(f) = 0. -1, 21 Suppose 12*n = 28*n. Let u(i) be the third derivative of i**2 + 0*i + 0*i**6 - 1/840*i**7 + n*i**3 + 0*i**4 + 0*i**5 + 0. Factor u(s). -s**4/4 Let z(i) be the second derivative of 5*i**4/12 - 20*i**3/3 - 65*i. Factor z(b). 5*b*(b - 8) Suppose -22 + 46 = 8*w. Let a(g) be the first derivative of -2/13*g**w + 4 + 1/26*g**4 + 3/13*g**2 - 2/13*g. Solve a(z) = 0. 1 Let z be (-74)/(-71) - 22/33. Let h = z + -3/71. Factor h*p**2 - 1/2*p + 0 + 5/6*p**3. p*(p + 1)*(5*p - 3)/6 Let x be (855/(-20))/9*-1 + -4. Factor 0 + 0*z - x*z**4 + 3/2*z**3 + 0*z**2. -3*z**3*(z - 2)/4 Find d, given that -1 + 5*d**4 - 60*d**2 + 3 + 5 + 1 + 70*d - 33 + 10*d**3 = 0. -5, 1 Let z(h) be the third derivative of 0 + 0*h**3 + 0*h + 1/320*h**6 - 38*h**2 - 1/80*h**5 + 1/64*h**4. Find i, given that z(i) = 0. 0, 1 Let p = 14/59 + 110/531. Let v be (6/(-5))/((-42)/1155*11). Factor 2/3*f**v + p*f**2 - 2/3*f - 4/9. 2*(f - 1)*(f + 1)*(3*f + 2)/9 Suppose -3*z + 5*z + 8 = 0. Let y be (0 - 36)/(3 + z). Factor -147*d**3 - 53*d**2 + y*d**2 - 67*d**2 + 156*d - 24 - 126*d**2. -3*(d + 2)*(7*d - 2)**2 Let y(f) be the first derivative of -f**4/14 - 26*f**3/21 + 30*f**2/7 - 27. Factor y(u). -2*u*(u - 2)*(u + 15)/7 Let y(c) be the first derivative of -c**5/12 - 5*c**4/6 - 6*c**2 + 31. Let k(o) be the second derivative of y(o). Factor k(r). -5*r*(r + 4) Factor 1/5*v**4 + 23/5*v**2 - 28/5*v - 8/5*v**3 + 12/5. (v - 3)*(v - 2)**2*(v - 1)/5 Let d(i) be the third derivative of 0 - 22*i**2 + 0*i**4 - 1/15*i**5 + 0*i**3 + 1/30*i**6 + 0*i. F
{ "pile_set_name": "DM Mathematics" }
of -3*a**5 + 4*a**d - 19*a**3 + 19*a**3 wrt a. -180*a**2 Let y(a) be the second derivative of 25/6*a**3 - 2/15*a**6 + 0*a**4 + 9*a + 0*a**2 + 0 + 0*a**5. Find the second derivative of y(o) wrt o. -48*o**2 Let j(b) = -b**3 + 6*b**2 - 3*b + 4. Let r be j(3). What is the derivative of -9*y**4 - 6*y**4 - 12*y**4 + 8 + r*y**4 wrt y? -20*y**3 Find the second derivative of -52*v**3 + 2*v**2 + 5*v**2 - 6*v - 6 + 9 - 5*v**2 wrt v. -312*v + 4 Let j = 13 + -26. Let x = j + 17. What is the third derivative of -5*k**2 + 10*k**2 - 7*k**2 - k**x wrt k? -24*k Let g = -35 + 40. What is the third derivative of -w**3 + w**3 + 205*w**g + 18*w**2 - 197*w**5 wrt w? 480*w**2 Let d(p) be the second derivative of 15*p**5/4 + 521*p**4/12 - 325*p. What is the third derivative of d(v) wrt v? 450 Find the third derivative of -760*x**4 - 42*x**5 + 763*x**4 - 3*x**2 + 8*x**2 - 4 wrt x. -2520*x**2 + 72*x Suppose -38 - 23 = 3*a + 2*t, 5*a = -2*t - 95. Let q = 21 + a. Find the second derivative of -4*v**4 + 35 - 35 + q*v wrt v. -48*v**2 Suppose m + 1 - 2 = 2*u, 9 = 3*u. Suppose -2141 = -m*k - 202. Find the second derivative of 4*l + 277*l**2 + 10*l**3 - k*l**2 wrt l. 60*l Let a(o) be the second derivative of 3/56*o**8 + 0*o**7 + 0 + 0*o**3 - 7*o + 0*o**6 + 0*o**5 - 1/3*o**4 + 0*o**2. What is the third derivative of a(s) wrt s? 360*s**3 Let a(n) = n**2 + 7*n + 3. Suppose -3*p = -5*c - 35, 0 = -c + 3*p - 2*p - 7. Let u be a(c). Find the first derivative of 5*x**2 + 1 - u + 0 wrt x. 10*x Let p(u) = -170*u - 652. Let d(a) = -839*a - 3260. Let l(b) = -2*d(b) + 11*p(b). Differentiate l(h) with respect to h. -192 Differentiate 154 - 114*k**3 + 23*k**3 - 59*k**3 wrt k. -450*k**2 What is the second derivative of 5*r**5 + 2 - 381*r - 4*r**4 - r**4 + 5*r**5 + 6*r**4 - 4 wrt r? 200*r**3 + 12*r**2 Let k(t) be the first derivative of t**6/40 + t**4/4 + 11*t**2/2 - 15. Let h(f) be the second derivative of k(f). Find the second derivative of h(x) wrt x. 18*x Let z(m) = 1. Let q(d) = 26*d - 8. Suppose n - 18 = -13. Let w(l) = n*z(l) + q(l). What is the first derivative of w(f) wrt f? 26 Let u(s) = s**4 + s**3 + s**2 - 2. Let r(b) = 36*b**4 + 6*b**3 + 6*b**2 - 3*b - 19. Let c(t) = -r(t) + 6*u(t). What is the second derivative of c(n) wrt n? -360*n**2 What is the third derivative of 26164*k**4 + 474*k**5 - 3*k**2 - 26164*k**4 + 31*k wrt k? 28440*k**2 Let v(u) be the third derivative of -19*u**7/840 + u**4/4 + 7*u**3/3 - 4*u**2. Let n(p) be the first derivative of v(p). Differentiate n(z) with respect to z. -57*z**2 What is the third derivative of -214*x**4 - x**4 - 206*x**2 - 119*x**4 - 19*x**4 wrt x? -8472*x Differentiate 15701 - 13*j**2 + 0*j**3 - 4*j**4 + 0*j**3 - 15768 with respect to j. -16*j**3 - 26*j Let f(p) = -13*p - 38. Let c be f(-5). Differentiate -36*b + 34 - c*b**3 - 29*b**3 + 36*b wrt b. -168*b**2 Let v(y) be the first derivative of -143*y**5/5 - 467*y**2/2 - 237. What is the second derivative of v(r) wrt r? -1716*r**2 Let b = 9 - 5. Find the third derivative of -2*o**2 - b*o**2 + 6*o**5 + 5*o**5 wrt o. 660*o**2 Suppose -22*v + 17*v + 60 = 0. Find the first derivative of -9 - 20*z + v*z + 4*z + 8*z wrt z. 4 Differentiate -70*i - 69*i - 9*i - 97 wrt i. -148 Let a be 6*2/(-18)*-3. What is the first derivative of 2*n**2 - n**a - 3*n**2 + 17 wrt n? -4*n Find the third derivative of 198*a**6 - 265*a**2 - 85*a**2 + 85*a**6 - 70*a**2 + 172*a**2 wrt a. 33960*a**3 Find the third derivative of 2293*c**4 - 208*c**2 + 458*c**5 - 2293*c**4 wrt c. 27480*c**2 Let t(q) = -2*q - 7. Let r be t(-4). Let z(o) = 3*o - 1. Let n be z(3). Differentiate -2*i**2 - 7*i**2 + i**2 - r + n with respect to i. -16*i Let s(t) = -5*t + 9. Let u(h) = -6*h + 9. Let d(y) = 5*s(y) - 4*u(y). Let a be d(4). Find the second derivative of -2*f**a + 0*f**5 + 5*f**5 - 2*f wrt f. 60*f**3 Suppose -9*q = -21*q. Let i(d) be the first derivative of 0*d**3 + q*d**4 + 6/5*d**5 - 2*d**2 - 4 + 0*d. Find the second derivative of i(j) wrt j. 72*j**2 Let t(l) be the second derivative of -5*l - l**5 + 0*l**3 + 3/2*l**4 + 0*l**2 + 0. What is the third derivative of t(r) wrt r? -120 What is the second derivative of 0 - 3 - 3*d - 2*d + 252*d**2 + 3*d - 21*d wrt d? 504 What is the derivative of -98 + 413*m**3 + 464*m**3 + 684 wrt m? 2631*m**2 Let g(u) be the first derivative of -31*u**5/20 - 35*u**3/6 + u - 23. Let p(d) be the first derivative of g(d). Find the second derivative of p(t) wrt t. -186*t Let a(u) be the second derivative of -u**9/1680 + 3*u**5/20 + u**4/3 + 15*u. Let k(p) be the third derivative of a(p). What is the derivative of k(d) wrt d? -36*d**3 Let u(h) be the third derivative of -h**8/56 + 49*h**6/120 + 11*h**4/8 + 63*h**2 + h. Find the second derivative of u(r) wrt r. -120*r**3 + 294*r Let r be (8/2)/(-1 - -2). Suppose 0*j + 3*q - 36 = -3*j, 0 = -5*q + 25. What is the derivative of -r + j*d**3 - 172*d + 172*d wrt d? 21*d**2 Suppose 2*s = 3*s - 2*i - 20, i + 45 = 4*s. What is the second derivative of 7*m + s*m**4 - 8*m - 24*m**4 - 13*m wrt m? -168*m**2 Suppose 5*n + 2*a - 40 = 0, n = -4*n + 3*a + 65. What is the third derivative of -n*s**5 - 10*s**2 + 9*s**5 + 31*s**5 wrt s? 1800*s**2 Find the third derivative of -19*p**6 + 4*p**4 - 453*p**2 + p**4 + 12*p**3 - 12*p**3 wrt p. -2280*p**3 + 120*p Let h = -107 + 107. Let y(n) be the first derivative of 0*n + 3/2*n**2 + h*n**3 + 0*n**4 + 0*n**5 - 2/3*n**6 - 3. What is the second derivative of y(j) wrt j? -80*j**3 Let p(c) be the first derivative of 2*c**5/5 - 75*c**4/4 + 47*c**3/3 + 17. Find the third derivative of p(a) wrt a. 48*a - 450 Suppose -3*c + 86 = -3*b - 5*c, -144 = 5*b + 4*c. Let j = -24 - b. Find the second derivative of -18*p + 2*p**j + 8*p**4 + 20*p wrt p. 120*p**2 What is the second derivative of 4 - 32*b - 141*b**2 + 4*b**2 + 1 - 5 wrt b? -274 Suppose 0*t = -3*t + 9. Suppose -t = -3*b + 3. Find the second derivative of s**5 + 2*s - s**5 - s - b*s**5 wrt s. -40*s**3 Let j(m) be the second derivative of 88*m**5/5 - 34*m**4 + 460*m. What is the third derivative of j(f) wrt f? 2112 Let x(y) = -18*y**3 - 5*y**2 - 5*y + 7. Let h = -12 - -6. Let a(o) = 19*o**3 + 6*o**2 + 6*o - 6. Let r(t) = h*x(t) - 5*a(t). Differentiate r(g) wrt g. 39*g**2 Let y be (-97)/(-9) - 30/(-135). What is the third derivative of 10*u**4 - y*u**3 + 0*u**2 + 7*u**2 + 11*u**3 wrt u? 240*u Find the third derivative of -1 + 166*t**3 + 1 + 565*t**2 - 262*t**2 wrt t. 996 Suppose 12 = 3*r, -m + 36 = 3*m + 4*r. Find the third derivative of -6*u**2 - 5*u**m - 4*u**2 + 21*u**2 wrt u. -300*u**2 Let n(v) = 11*v**3 + 175*v**2 - 4*v - 8. Let s(p) = 23*p**3 + 350*p**2 - 7*p - 14. Let k(b) = 7*n(b) - 4*s(b). Find the third derivative of k(a) wrt a. -90 Let a(n) be the first derivative of -5*n**8/336 - n**4/8 + 6*n**2 + 6. Let s(y) be the second derivative of a(y). What is the second derivative of s(k) wrt k? -100*k**3 What is the second derivative of -2*c**3 - 2*c**3 - 58*c + c**3 + 0*c**3 + c**3 + 68*c**4 wrt c? 816*c**2 - 12*c Let g(a) = 23*a**2 + 3*a - 260. Let d(z) = 11*z**2 + z - 130. Let m(n) = 5*d(n) - 3*g(n). What is the derivative of m(w) wrt w? -28*w - 4 Let p = -54 - -66. Differentiate 20 - p - 25*m**4 + 15 wrt m. -100*m**3 What is the second derivative of 13*s - 10 - 538*s**4 + 923735*s**3 - 923735*s**3 wrt s? -6456*s**2 Let z be -2*50/4 - 3. Let s = z + 32. What is the second derivative of 11*n**5 - n**3 - s*n + n**3 + 0*n wrt n? 220*n**3 Let p(m) be the second derivative of -m**6/15 - 77*m**5/20 + 5*m**4/12 + m**2/2 + 135*m. What is the third derivative of p(d) wrt d? -48*d - 462 Let i(a) be the first derivative of a**4/4 + a**2/2 - 58*a + 77. Find the first derivative of i(q) wrt q. 3*q**2 + 1 Let f(h) be the first derivative of -6 + 0*h**4 + 0*h**2 + 0*h + 1/3*h**6 - 5*h**3 + 0*h**5. Find the third derivative of f(n) wrt n. 120*n**2 Let b(s) = -1105*s - 1196. Let p(y) = 48*y + 52. Let w(h) = -4*b(h) - 91*p(h). Let r(v) = 17*v + 17. Let l(k) = 16*r(k) - 5*w(k). Differentiate l(g) wrt g. 12 Let k(h) be the first derivative of h**9/168 + 8*h**5/15 - 20*h**2 + 24. Let b(u) be the second derivative of k(u). What is the third derivative of b(l) wrt l? 360*l**3 Let y = 38 + -36. Find the second derivative of -7*i**3 + y*i**3 + 0*i**3 + 3*i**3 + 12*i wrt i. -12*i Let z(s) = -21*s**4 + 4*s**3 + 4
{ "pile_set_name": "DM Mathematics" }
18 + -1. Suppose -2*y + 5*n + 48 + 2 = 0, y + 5*n - 10 = 0. Suppose l - 2*j + y = 5*l, 5*l - 5*j = 40. What is the remainder when u is divided by l? 5 Let q be 1/(-4) + (-522)/(-8). Suppose -16 + 1 = -5*z, 5*c - q = 5*z. Calculate the remainder when c is divided by 6. 4 Let k = 2 + -2. Suppose -3*r + 5 = -4, k = 3*q + 2*r - 36. Calculate the remainder when q is divided by 3. 1 Let s be 2/(-6)*(-2 - 13). Suppose 72 = 5*o - 2*b - 23, s*b - 67 = -2*o. Calculate the remainder when 61 is divided by o. 19 Let v = -19 - -26. Calculate the remainder when v is divided by 3. 1 Let d(s) = 7*s**3 - s**2 - s. Let l be d(-1). Let r = 22 + -8. What is the remainder when 49 is divided by (-2)/l + 234/r? 15 Suppose -2*g - 3*a = -94, 0*g - 66 = -2*g + 4*a. What is the remainder when g is divided by 12? 5 Suppose -6 = -4*t + 2. Suppose 15 = -2*w - 3*g, 2*w + w + 10 = -2*g. Suppose w = x + 4 - 2, 3*n + 3*x = 0. What is the remainder when n is divided by t? 0 Let b(w) = -w**3 + 3*w**2 - w + 7. Suppose -3*v - 15 = 0, -3*m + 2*v + v + 21 = 0. Calculate the remainder when b(3) is divided by m. 0 Let o(y) = y**2 + 4*y + 7. Let p be ((-8)/(-12))/((-8)/204). Let w = 1 - p. What is the remainder when o(5) is divided by w? 16 Suppose -k + 4 = -0. Suppose l = -f + 4*f + 9, -3*f = 4*l - 6. Calculate the remainder when 11 is divided by k - (-1)/(2 - l). 2 Let w = 11 - 26. Let y = -10 - w. What is the remainder when 17 is divided by y? 2 Let n = -68 - -83. What is the remainder when 101 is divided by n? 11 Suppose 2*f + c = 93, -2*f = 2*c + 47 - 139. Suppose 26 = 4*k + 78. Let r = k + f. Calculate the remainder when r is divided by 18. 16 Let v(i) = -i**3 + 8*i**2 + i + 6. Suppose 24 - 136 = -2*l. Let w = -30 + l. Calculate the remainder when w is divided by v(8). 12 Let q be 0*(2 - (-3)/(-2)). Suppose p - 3 + q = 0. Suppose 0 = -p*x + 6 + 6. Calculate the remainder when 5 is divided by x. 1 Suppose c - 3*i = 22 - 6, -17 = -c + 2*i. What is the remainder when c is divided by 2/((-18)/(-12) - 1)? 3 Let m be 8/(-20) + 24/10. Suppose -4*z = 2*y - 40, 0*y - m*z = 5*y - 100. What is the remainder when 79 is divided by y? 19 Let h = 0 - -24. Calculate the remainder when 92 is divided by h. 20 Let m(d) = 2*d**2 + d + 2. Let v be m(-2). Let l = v - 4. Calculate the remainder when 15 is divided by l. 3 Suppose -5*m + h = -632, m = h - 0*h + 128. Calculate the remainder when m is divided by 32. 30 Let b = 15 - 1. Calculate the remainder when 25 is divided by b. 11 Suppose 16 + 9 = 5*d. Suppose -2*s + 56 = 5*s. Calculate the remainder when s is divided by d. 3 Let t(h) = h**2 - 24*h + 31. What is the remainder when 119 is divided by t(23)? 7 Suppose 0*y + 3*y = 5*t + 352, 3*t - 260 = -2*y. Suppose 5*v - y = -24. Calculate the remainder when v is divided by 7. 6 Suppose 0 = -o + 3*n + 17, -5*n - 29 = -2*o - 0*o. Suppose 2*q - 18 = -o*s, 3*q = s + 6*q - 7. What is the remainder when 27 is divided by s? 7 Suppose 2*v = -2*c + 3 + 1, 0 = 5*v + 2*c - 25. Let z = -5 + v. What is the remainder when -2*(-2)/8*6 is divided by z? 1 Suppose 15 = b - 0*b. Let a(z) be the second derivative of z**4/6 + 5*z**3/6 + z**2/2 + z. What is the remainder when a(-6) is divided by b? 13 Let a(c) = -c**3 - c**2 + 3*c. What is the remainder when a(-5) is divided by 22? 19 Let y(x) = -2*x - 3. Let k be y(-2). Suppose 0 = -c - 13 - k. Let f = 39 + c. What is the remainder when f is divided by 9? 7 Let j(p) = 2*p**3 - 15*p**2 + 11*p - 3. What is the remainder when j(7) is divided by 13? 12 Let q = -9 + 13. Suppose 4*b + 148 = q*o, 4*o - 185 = -5*b - 1. Suppose 5*c = o + 4. What is the remainder when 16 is divided by c? 7 Let z(j) = -j**2 - j - 2 - 3 + 5. Let b be z(-3). Let s(r) = -8*r - 5. What is the remainder when s(b) is divided by 15? 13 Let i = -17 - -37. Let f be 2/6 + (-98)/(-21). Suppose -t + 6 + f = 0. What is the remainder when i is divided by t? 9 Suppose 9 - 23 = -j. What is the remainder when 67 is divided by j? 11 Suppose 2*u = 4*o - 0*u - 42, -4*o + 60 = 4*u. What is the remainder when 21 is divided by o? 9 Let n = 68 - 55. What is the remainder when 38 is divided by n? 12 Suppose -4*r = -r - 15. What is the remainder when 8 is divided by r? 3 Let p(v) = v**3 + 4*v**2 - 1. Let k be p(-3). Let d(a) = a + 10. Let c be d(-6). Let l = c + k. What is the remainder when 45 is divided by l? 9 Let k be (-1 - -11)*14/28. Suppose -2*o = -4*y - 26, -4*o + o - k = 5*y. Calculate the remainder when 7 is divided by o. 2 Let r(v) = -v**2 - 7*v - 1. Let c be r(-4). Suppose 2*y + 3*w - 5 = c, 46 = 4*y - w. What is the remainder when 30 is divided by y? 8 Suppose 7*n + 37 = 219. Let q = 76 + 1. What is the remainder when q is divided by n? 25 Suppose s = a - 0*a - 15, 5*a = 3*s + 81. Let m = -15 - -25. What is the remainder when a is divided by m? 8 Suppose 76 = -4*i + 340. Calculate the remainder when i is divided by 23. 20 Let s(f) = -f**2 + 9*f + 2. Let y be 1 - -16*3/2. Suppose 2*t = -3*t + y. What is the remainder when s(t) is divided by 8? 6 Let i be 0 + 1 + 12/2. Suppose m - 13 = i. What is the remainder when m is divided by (-1 - 18/4)*-2? 9 Let t = 14 + 2. Let l = 6 + 6. Suppose 0*f - 2*f = -l. What is the remainder when t is divided by f? 4 Suppose -15 + 39 = 3*z. Suppose -r + 13 = -2*i - 4*r, -4*i = 4*r + 16. Calculate the remainder when (30 - (1 - 1)) + i is divided by z. 7 Let z(g) = g**2 - 6*g - 11. Suppose 0 = -4*w - 2*v + 36, -3*v + 22 = -3*w + 5*w. Calculate the remainder when z(w) is divided by 2. 1 What is the remainder when (84/9)/(6/9) is divided by 9? 5 Suppose -2*y + o = 6*o - 86, 0 = -y + 5*o + 58. Let k = 100 - y. What is the remainder when k is divided by 18? 16 Let o(a) = a**3 - 8*a**2 + 3*a + 10. Suppose -9 = -3*h + 15. Calculate the remainder when o(h) is divided by 17/1 - (-3 + 2). 16 Suppose l = 4*l - 45. Let i be (-16)/(-3) + (-5)/l. What is the remainder when 17 is divided by (-2)/i + 188/20? 8 What is the remainder when 223 is divided by (392/(-35))/((-6)/15)? 27 Suppose -6 = -5*a + 9. Suppose 8 = 4*g + a*j, -2*g - 2*g + 2*j = -8. Suppose -5*p = -g*p - 3. What is the remainder when 2 is divided by p? 0 Suppose 2*y + 44 = 2*u, 0 = u - 0*y - 2*y - 19. Calculate the remainder when 47 is divided by u. 22 Let u = -8 - -43. What is the remainder when u is divided by 19? 16 Suppose -3*v + 13 = 4*q, -3*q + v - 4 = -30. What is the remainder when 39 is divided by q? 4 Let i = -94 + 144. Calculate the remainder when i is divided by 18. 14 Let a = -28 + 52. Let p(t) = 23*t**2 + 1. What is the remainder when p(-2) is divided by a? 21 Suppose 4*z + s - 226 = 0, -2*z = -s - 0*s - 116. What is the remainder when z is divided by 6? 3 Suppose 56 = -2*q + 6*q. Let a(v) = v - 11. Let l be a(0). Calculate the remainder when (-4 + 2)*(-2 + l) is divided by q. 12 Suppose -5*i + 5*l - 11 = 4, 3*i - 4*l + 9 = 0. Let a = i + 6. What is the remainder when (4 - 21/6)*14 is divided by a? 1 Suppose -2 + 3 = j, 0 = 5*u - 3*j + 13. Suppose -5*t + 65 = 15. What is the remainder when (19/u)/((-1)/2) is divided by t? 9 Suppose -2*t - 12 = -0*t. What is the remainder when (9/t)/(2/(-40)) is divided by 16? 14 Suppose 3*y - 2*q = 413, -3*q + 171 = 2*y - 100. Calculate the remainder when y is divided by 35. 32 Let g(t) = 31*t - 62. What is the remainder when g(6) is divided by 33? 25 Let m = -12 + 22. Suppose -4*n - n + 5*d = 0, -2*n + 4*d - m = 0. Calculate the remainder when n is divided by 1 + (4/2 - 1). 1 Let f = 44 + -26. Suppose 4*j = j + f. What is the remainder when 10 is divided by j? 4 Let x(d) = 13*d**3 - d**2. Let i be x(-1). Let v = -7 - i. Calculate the remainder when 19 is divided by v. 5 Let f be 2/(-7) - 138/(-42). Suppose -3*u = p - 27, -u - 4*u + 61 = f*p. What is the remainder when p is divided by 7? 5 Let f be 0 + -3*2 - 1. Let l = f - -18. What is the remainder when 31 is divided by l? 9 Let m(k) = k**2 - k + 6. Suppose -u + 1 - 3 = 0. Let x be ((-3)/(-9)*0)/u. Calculate the remainder when 10 is divided by m(x). 4 Let u(k) = -k**2 + 4*k - 3. Let h be u(3). Let j = 102 + -66. Suppose -b - 2*b + j = h. What is the remainder when 35 is divided by b? 11 Suppose 3*p - 88 = -5*p. Let w(f) = -2*f**3 - 4*f**2 + 5*f - 3. What is the remainder when w(-4) is divided by p? 8 Suppose -3*h - 5*p + 3 = 0, 0*p
{ "pile_set_name": "DM Mathematics" }
he remainder when a is divided by 6. 2 Suppose 6*d = -580 + 2182. Calculate the remainder when 561 is divided by d. 27 Suppose -99 + 96 = -a. What is the remainder when (1 - (-12)/(-9))/(a/(-99)) is divided by 6? 5 Let h(f) = f**2 + 3*f + 1. Let v be h(0). Let o = 403 - v. Calculate the remainder when o is divided by 27. 24 Let n = 6992 - 626. Calculate the remainder when n is divided by 16. 14 Let s be (3 + -4)/((-4164)/(-834) - 5). Suppose 0 = i + i - 5*f - s, -f = -4*i + 323. What is the remainder when i is divided by 2? 0 Let w = 14186 + -12417. Calculate the remainder when w is divided by 864. 41 Let g = -4251 - -4698. Let t(k) = -k**3 + 7*k**2 - k + 11. Calculate the remainder when g is divided by t(5). 55 Let j = 112 - 109. Let x be (-2 + (j - 2))*2 + 3. What is the remainder when 0/x - -29 - -4 is divided by 12? 9 Suppose 485 = -2*s - 87. Let r = 297 + s. Calculate the remainder when 29 is divided by r. 7 Let f = -28 + 17. Let r(b) = -b**3 - 11*b**2 - b - 7. Let o(t) = -t**2 + 10*t - 23. Calculate the remainder when r(f) is divided by o(6). 0 Let u(s) = 7*s - 3. Let x = 29332 - 29275. Calculate the remainder when x is divided by u(5). 25 Suppose -21*z - 44 = -233. What is the remainder when 6594 is divided by z? 6 What is the remainder when (-2 + 1)*44*-4 is divided by ((-10)/(-6)*27*9/(-9))/(-1)? 41 Calculate the remainder when 3896 is divided by (0 - (-234)/10)/(99/660). 152 Let k = 480 - 477. Suppose -k*a = -8*a + 470. What is the remainder when a is divided by 54? 40 Let n be (4 + -8)*1/(-2). Suppose 0 = n*r - 11*r + 90. Calculate the remainder when 3330/50 - (-6)/15 is divided by r. 7 Suppose 2*s = x + 75 - 40, -s = -5*x + 5. What is the remainder when 125 is divided by s? 5 Let p = -85 + 90. Suppose m = -p*m. Calculate the remainder when (m - -4*43)*(-2)/(-4) is divided by 23. 17 Let t(g) = g**2 + 97*g - 2. Calculate the remainder when t(7) is divided by 17. 12 Let t = -2425 + 2538. What is the remainder when 213 is divided by t? 100 Suppose -1877*q = -1883*q + 3096. What is the remainder when q is divided by 104? 100 Suppose -3*m = 10*m - 247. Let o = -712 - -1281. Calculate the remainder when o is divided by m. 18 Let k = 6374 + -5721. What is the remainder when k is divided by 34? 7 Let t(d) = 15*d + 79. Let i be t(8). Let k = i + -156. Calculate the remainder when k is divided by -1*((-2 - -3) + -16). 13 Let o be 28/(2 - 1)*(-4)/16. Let b(f) = -4*f + 64. What is the remainder when b(o) is divided by 26? 14 Suppose 0 = 3*p - 4*r - 155, -147 = 5*p + 4*r - 480. Calculate the remainder when 28669 is divided by p. 60 Suppose -f - 7*f = -16. Suppose -f*r - 4*b + 116 = -3*b, r - 3*b = 72. Calculate the remainder when 237 is divided by r. 57 Let c(y) = 311*y + 3175. What is the remainder when 1330 is divided by c(-10)? 30 Let o(q) = -3*q - 44 + 7*q + 38. Let a = 10 - -13. What is the remainder when o(16) is divided by a? 12 Suppose -15*b = -17*b + 5*o + 22, 0 = -b + 3*o + 9. Suppose -j = 2*j - b. What is the remainder when 44 is divided by j? 2 Suppose -5*g + 4*u - 2*u = -75, 0 = 4*g + 3*u - 37. Let h be (-9)/6*(-836)/33. Let o = h - -24. What is the remainder when o is divided by g? 10 Let m(d) = d**2. Let a be m(2). Suppose 2*l + n - 46 = 5*n, a*l = -4*n + 32. Let i = 39 - l. Calculate the remainder when i is divided by 14. 12 Let z = -8 + 25. What is the remainder when z is divided by (9/(-15) + -1)*(-54 - -49)? 1 Suppose u - 2 = -f, -3*f + 0*f = -4*u + 29. Let p be 3 + -7 + u + -1. Calculate the remainder when 89 is divided by (-326)/(-14) + (-6)/21 + p. 20 Suppose 7*z + 5*j = 2*z - 130, 2*j = -6. Let d(t) = -t**3 - 22*t**2 + 25*t + 54. Calculate the remainder when 27 is divided by d(z). 3 Suppose -4132 = -55*o + 17483. Calculate the remainder when o is divided by 167. 59 Let p = -24841 - -24918. Calculate the remainder when 3438 is divided by p. 50 Suppose 10 = -0*t + 2*t. Suppose 3*a = 44 - t. What is the remainder when a is divided by -2 + 14 + 1*-2? 3 Suppose 637 - 9415 = -22*o. Calculate the remainder when o is divided by 37. 29 Let i(c) = 2*c**3 - 19*c**2 + 56*c - 70. Calculate the remainder when 6773 is divided by i(7). 74 Suppose 4*w - 3*w = 2*n + 4, -3*n + 5*w = -8. Calculate the remainder when 217 is divided by 110/n*72/(-90). 19 Suppose 4*z - 4008 = y, 0 = 2*z - 19*y + 15*y - 2032. Calculate the remainder when z is divided by 121. 32 Suppose -59*t = -63*t - 2*y + 4932, 0 = 3*t + 5*y - 3692. What is the remainder when t is divided by 95? 94 Suppose -p + 140 = 4*u, -p + 5*u = 82 - 285. Calculate the remainder when 443 is divided by p. 107 Suppose -j - 2*s - 1 = 0, -2*j = 2*j - 2*s - 36. Let u(p) = p + 5. What is the remainder when 58 is divided by u(j)? 10 Suppose 0 = 8*l - 12*l + 248. Suppose 2*z - l = -2*j, 4 = -3*z + 5*z. Let i = -100 - -213. What is the remainder when i is divided by j? 26 Let v be 117/1 - (-2)/2. Let f = v + -44. What is the remainder when f is divided by 1/(5*(-4)/(-300))? 14 Suppose 294 = 15*z - 1026. Let x = -70 + z. What is the remainder when x is divided by 5? 3 Let o(i) = -2*i**2 - 172*i - 1080. Calculate the remainder when 5456 is divided by o(-79). 22 Let d(m) = m**2 - 6*m - 22. Let s be d(9). Suppose -s*z = -825 - 465. Suppose -w + 4 = 0, w + z = 2*c - 0*c. Calculate the remainder when c is divided by 33. 32 Suppose -78 = 3*p - 5*s, s - 59 = p + p. Let n = p + 44. Suppose -309 + 61 = -4*z. What is the remainder when z is divided by n? 10 What is the remainder when 43 is divided by 1*(0 + 13 - 1)? 7 Let p = 414 + -416. Calculate the remainder when 214 is divided by (-28)/14*(p + -25). 52 Let w be 1 - 0 - (39 + -36). What is the remainder when 140 is divided by 40 + -7 + 8 + w + -3? 32 Suppose d - 1362 + 7091 = 5*i, 3439 = 3*i - d. Calculate the remainder when i is divided by 572. 1 Let d(p) = p + 20. Suppose 5*l = y - 103, -y + 2*y = -l - 17. Let h be d(l). Suppose h = 4*n + 9*n - 221. What is the remainder when n is divided by 6? 5 Let s = 2839 + -1679. Suppose 910 + s = 10*b. What is the remainder when b is divided by 19? 17 Suppose 12*i + 9*i = -8463. Let p = 440 + i. What is the remainder when 72 is divided by p? 35 What is the remainder when (46/5 - (-16)/(-4))/(18/2340) is divided by 53? 40 Let v = 66 + -47. Let z(x) = 2*x + 70. Let r be z(-34). Suppose 3*m - 218 = q, -5*m + 0*q = -r*q - 362. What is the remainder when m is divided by v? 17 Let c = -478 + 815. Calculate the remainder when c is divided by 48. 1 Suppose 21177 + 53102 = 261*m + 3287. Suppose 4*p = 2*k - 66, -37 = -3*k - p + 34. Calculate the remainder when m is divided by k. 22 Suppose 5*n - 25 = 10. Let f be 384/84 - (-4)/(-7). Calculate the remainder when (672/(-98))/(f/(-14)) is divided by n. 3 Let h = 69 - 122. Let k = 56 + h. Calculate the remainder when 55 - ((0 - 2) + k) is divided by 29. 25 Let l(u) = -13*u + 2. Let b be l(2). Suppose 0 = -10*s - 106 - 174. Let k = b - s. Calculate the remainder when k is divided by 2. 0 Suppose -14*a + 17*a - 6 = 0. Suppose 348 = a*n + 112. Suppose 0 = 4*x - n - 22. Calculate the remainder when 138 is divided by x. 33 Let c(k) = k**2 + 78*k - 238. What is the remainder when 775 is divided by c(7)? 61 Let v(t) = 4*t**2 - 5*t - 4. Let c be v(2). Suppose -s - 284 + 13 = -5*q, -s + 107 = c*q. Calculate the remainder when 376 is divided by q. 52 Calculate the remainder when 1089 is divided by (5112/20)/3 - 28/(-35). 57 Let w(u) = u**2 - 20*u - 14. Let d be w(17). Let l = d + 115. Calculate the remainder when 196 is divided by l. 46 What is the remainder when ((-8)/18)/(13 - (-1122740)/(-86364)) is divided by 80? 78 Suppose -3613 = -4*v - f, -5*f - 2407 = 4*v - 6024. What is the remainder when v is divided by 151? 148 Suppose 353*m + 95*m - 4950 = 15658. Calculate the remainder when 1879 is divided by m. 39 Let a(t) = 19*t + 1342. What is the remainder when a(-51) is divided by 32? 21 Let v = 0 - -40. Let j(l) = -10*l**3 + l**2 + 4*l + 4. Calculate the remainder when v is divided by j(-1). 7 Suppose 2*i = -4*o + 742, -o - 3*i + 191 = -8*i. Let z(m) = -m**3 - 11*m**2 - 20*m - 1. What is the remainder when o is divided by z(-9)? 16 Suppose -15138 - 35806 = -199*b. Calculate the remainder when 1046 is divided by b. 22 Let r(h) = h**3 + 17*h**2 - 18*h + 26. Let c be r(-18). Suppose -c
{ "pile_set_name": "DM Mathematics" }