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= -26*d - 16. Let l(n) = k*r(n) - 3*s(n). Let f(p) = 2*p**2. Determine f(l(v)). 8*v**2 Let z(g) = -2*g**2. Let h be 12/(1/(-2) - -2). Let u(c) = h - 8 + 2*c + c. Give z(u(r)). -18*r**2 Let s(r) = 5*r + r**2 - 2*r - 3*r. Let g = -1 + 3. Let w(z) = z**g + 4 - 4. Determine s(w(f)). f**4 Suppose -4*t - 2*h = -6*t + 4, 10 = 5*t - 3*h. Let u(i) = 22 - 22 - t*i. Let n(v) = 2*v**2. Determine n(u(x)). 8*x**2 Let u(f) = f**2 - 153*f + 153*f. Let a(k) = -3*k. What is a(u(h))? -3*h**2 Let z(b) = -3*b + 3*b + 2*b + 0*b. Let s(n) = 18*n. Give z(s(r)). 36*r Let i(c) = -c. Let k(f) = 8*f - 2. Give k(i(w)). -8*w - 2 Let r(x) = -3*x. Let h(a) = -12*a. Let j(z) = -2*h(z) + 9*r(z). Let s(m) = -3*m. What is j(s(w))? 9*w Let q(w) = 23*w. Let r(i) = -8*i + 3. Give r(q(n)). -184*n + 3 Let j(r) = -3*r. Let s(o) = -129*o + 37. What is j(s(p))? 387*p - 111 Let j(z) = -2*z. Let d(a) = -359*a**2. What is j(d(g))? 718*g**2 Let p(g) = 7*g. Let d(x) be the third derivative of -x**5/20 + 45*x**2. Give d(p(r)). -147*r**2 Let f(o) = 3*o. Let w(k) be the third derivative of -1/24*k**4 + 0*k**3 + 0*k + 0 + k**2. What is f(w(l))? -3*l Let z(o) = -o. Let h(v) be the third derivative of -5/24*v**4 + 0*v**3 + 0 + 3*v**2 + 0*v. Determine z(h(t)). 5*t Suppose -2*d - 4*l = d - 35, -2*d + 3*l - 5 = 0. Let y(q) = d*q + q + q - 3*q. Let n(s) = s. Give y(n(g)). 4*g Suppose -c + 19 = -3*w, -2 = 4*w - c + 22. Let x(m) = 18*m. Let s(u) = 19*u. Let q(d) = w*x(d) + 4*s(d). Let b(l) = -l**2. Calculate b(q(z)). -196*z**2 Let n(j) = 3125*j + 3. Let y(i) = -2*i**2. What is n(y(z))? -6250*z**2 + 3 Let d(s) = -3*s. Let w be (4/(-10) - 0)/(30/(-25)). Let f(k) be the second derivative of 0*k**2 + 0 - 3*k - w*k**3. Determine d(f(p)). 6*p Let t(c) = 4*c + 0*c - 4*c - c. Let n(k) = -5*k. Calculate t(n(q)). 5*q Let c(w) = 4*w. Let u(r) = r**2 + 4*r. Let d(i) = 4*c(i) - 4*u(i). Let g(x) = 7*x**2. What is d(g(s))? -196*s**4 Let j(q) = -3*q + 11. Let c(s) = -37*s. Calculate c(j(a)). 111*a - 407 Let a(q) be the third derivative of -q**4/12 + 13*q**2. Let j(r) = r. Calculate j(a(n)). -2*n Let g(x) = 4*x. Let a(n) = -n + 1. Let r(p) = -p**2 + 6*p - 6. Let c(o) = 6*a(o) + r(o). Give c(g(m)). -16*m**2 Let u(o) = o - 4. Let y be u(6). Let z(s) = 7*s**2 - 6*s**y - 3*s**2. Let j(t) be the third derivative of t**5/20 + t**2. Determine j(z(c)). 12*c**4 Let t(u) = u**2 + u**2 - 3*u**2. Let g(n) be the third derivative of -n**5/120 - n**3/6 + 2*n**2. Let a(i) be the first derivative of g(i). Determine a(t(p)). p**2 Let d(a) = 8*a**2. Let n(r) = 5*r - r - 2*r. Determine n(d(w)). 16*w**2 Let b(z) = z**3 - 2*z**2 + 2*z - 2. Let n be b(2). Let i be (5 - 4)/(n/8). Let p(v) = v + 6 - 2 - i. Let x(r) = 2*r**2. What is x(p(g))? 2*g**2 Let n(i) = i**2. Let a(k) = -1190*k. What is n(a(m))? 1416100*m**2 Let j(i) be the second derivative of i**4/12 + i. Let u(k) be the second derivative of -k**3/3 - 5*k - 1. Give j(u(w)). 4*w**2 Let z(b) be the third derivative of b**4/12 - b**2. Let n(l) = -l - 4. Let c be n(-7). Let u(d) = c*d - 2*d + 4*d - 4*d. Give z(u(w)). 2*w Let g(h) = -650*h. Let y(r) = 4*r. Determine y(g(q)). -2600*q Let z(g) be the third derivative of g**5/120 + g**3/6 - g**2. Let p(j) be the first derivative of z(j). Let h(n) = -2*n. Calculate p(h(y)). -2*y Let m(s) = 3*s + 3. Let j be m(-2). Let n be -1*(6*1)/j. Let q(h) = 3*h**2 - 5*h**n + h**2. Let w(t) = -2*t**2. Give q(w(l)). -4*l**4 Let y(k) = -6*k. Let w(s) = 1. Let i(c) = -14*c - 70. Let d(f) = i(f) + 70*w(f). Determine y(d(h)). 84*h Let u(k) = -17*k**2 - 3. Let v(f) = 16 + 203*f**2 + 11*f + 19 - 11*f. Let l(m) = -35*u(m) - 3*v(m). Let a(h) = -2*h**2. What is l(a(c))? -56*c**4 Let g(u) = 22*u**2 - 12*u - 12. Let v(b) = -9*b**2 + 5*b + 5. Let w(j) = 5*g(j) + 12*v(j). Let i(x) = 3 + 5*x - 3. Give i(w(z)). 10*z**2 Suppose 6 = 2*y - 0. Let k(d) = 4*d - y*d + 0*d. Let h(b) = -3*b + 6. Let o(v) = 2*v - 5. Let g(n) = 5*h(n) + 6*o(n). Calculate g(k(q)). -3*q Let u(b) = 22*b. Let w(h) = 28*h**2. Give u(w(f)). 616*f**2 Let k(r) = -44*r**2 + 77*r**2 - 52*r**2. Let j(m) = -m. Determine j(k(c)). 19*c**2 Let g(x) = 12*x**2. Let d(j) = -j**2. Let r(f) = -f**2. Suppose 5*c - 6 = 2*c. Let m(u) = c*d(u) - 3*r(u). Determine g(m(v)). 12*v**4 Let c(k) be the second derivative of 2*k**3/3 + 5*k. Let b(z) = 6*z. Let g(n) = 5*b(n) - 6*c(n). Let p(a) = 2*a**2. Calculate p(g(y)). 72*y**2 Let w(g) be the third derivative of -g**5/5 + g**3/2 - 16*g**2. Let k(h) = -2*h. Determine w(k(i)). -48*i**2 + 3 Let a(g) = -5*g**2. Let t(v) = 477*v. Calculate t(a(f)). -2385*f**2 Let v(i) = -3*i. Let q be 0/(1*(4 + -1)). Suppose 2*o - 2 = q, 4*t - 5*o = -0*o + 3. Let p(g) = 4*g + t*g - 2*g - 2*g. Calculate p(v(z)). -6*z Let m(w) = -w - w - 25 + 25. Let z(q) = 7*q**2. Give z(m(k)). 28*k**2 Suppose 0 = -3*g - 3*x - x + 13, -g + 2 = -x. Let v(q) = q - q - g*q. Let c(n) be the first derivative of -n**3/3 + 1. Calculate c(v(j)). -9*j**2 Let t(q) = -2*q**2 - 5*q + 2*q + 3*q. Let y(b) be the third derivative of -b**4/24 + 4*b**2. Give t(y(n)). -2*n**2 Let t(l) = -l**2. Let s(o) be the third derivative of 1/30*o**5 + 0*o + 0*o**4 + 0 + 0*o**3 - 2*o**2. What is s(t(a))? 2*a**4 Let a(r) = r**2. Let p be (-13)/(-2) - (-9)/(-6). Let k(s) = -6 + 6 - p*s. Calculate k(a(g)). -5*g**2 Let k(r) = 3*r**2. Let n(i) = 40*i - 18. Let j(s) = 10*s - 4. Let h(c) = 9*j(c) - 2*n(c). Give k(h(w)). 300*w**2 Let w(d) = d. Let t(i) = 49 - 24 - 25 - 18*i**2. Give t(w(m)). -18*m**2 Let a(x) = -x**2. Let w(l) = 8*l - 5. Let m(u) = 15*u - 9. Let k(j) = 5*m(j) - 9*w(j). Determine a(k(o)). -9*o**2 Suppose -5*l - 2 = -4*z + 3*z, -4 = -3*l - 2*z. Let d(t) be the first derivative of l*t - 1/2*t**2 + 1. Let y(a) = 2*a**2. Calculate y(d(o)). 2*o**2 Let j(g) = 2*g. Let x(b) be the third derivative of 23*b**4/24 - 29*b**2. Give x(j(l)). 46*l Let g(u) be the second derivative of u**3/3 + u. Let p(o) be the third derivative of 0 + 0*o + 0*o**3 - 1/30*o**5 + 0*o**4 - o**2. Give p(g(k)). -8*k**2 Let u be (-3)/((-6)/4) + 2. Let c(h) = 4 - 2*h**2 - u. Let d(i) = i. Give d(c(f)). -2*f**2 Let v(p) = -4*p. Let k(t) = 9*t - 11. Let z(y) = y - 3. Let x be z(6). Let h(j) = x + 2 + 1 - 5*j. Let c(b) = -11*h(b) - 6*k(b). Calculate v(c(f)). -4*f Let a(c) = -27*c**2 + 16*c**2 + 12*c**2. Let z(r) = -14*r. What is a(z(d))? 196*d**2 Let b(o) be the first derivative of -o**3/3 - 34. Let n(d) be the second derivative of -2*d**4/3 + d. What is n(b(s))? -8*s**4 Let h(v) = 10*v**2 - 6*v - 6. Let i(n) = 11*n**2 - 5*n - 5. Let p(o) = 5*h(o) - 6*i(o). Let w(j) = 2*j**2. What is w(p(x))? 512*x**4 Let g(s) = -52*s**2. Let b(r) be the first derivative of -r**2/2 + 37. Calculate g(b(i)). -52*i**2 Let v(d) = 6*d**2. Let k(f) = -4*f. Let j(s) = s**2 + 14*s + 17. Let p be j(-13). Let t(y) = 3*y. Let z(i) = p*k(i) + 5*t(i). What is v(z(m))? 6*m**2 Let q(l) = 5*l - 42. Let u(x) = -2*x. Determine u(q(r)). -10*r + 84 Let h(g) = g. Let i(p) = p - 2*p + 6 - p**2 - 3 + 4*p. Let k(z) = -4*z**2 + 10*z + 10. Let x(y) = -20*i(y) + 6*k(y). Calculate x(h(f)). -4*f**2 Let y(a) = 3*a**2 + 2*a + 218. Let h(o) = o**2. Determine y(h(f)). 3*f**4 + 2*f**2 + 218 Let u(p) be the second derivative of 0 + 0*p**2 - 5*p + 1/2*p**3. Let z(d) = -3*d. Calculate u(z(x)). -9*x Let q(f) = -2*f. Suppose x = -d - 2*d + 7, -7 = -3*x + 5*d. Let r(y) = -x*y**2 + 0*y**2 + 3*y**2. Determine q(r(t)). 2*t**2 Let v(a) = 17*a. Let u be v(1). Let h(y) = 17 + 2*y - u. Let l(r) = -r**2. Calculate h(l(q)). -2*q**2 Let l(q) = 3*q**2. Let g(y) = 99*y. What is g(l(b))? 297*b**2 Let f(v) be the second derivative of -v**6/720 - 5*v**4/12 + 4*v. Let o(q) be the third derivative of f(q). Let k(g) = 6*g. Calculate k(o(w)). -6*w Suppose -1 = a - 8. Let b(p) = -a*p - 4*p + 15*p. Let l(v) = 2*v**2. Determine l(b(f)). 32*f**2 Let c(r) = r**2. Let z(d) = -44*d. Give c(z(t)). 1936*t**2 Let n(p) = 2*p**2. Let b(r) = 255*r**2 + 2*r + 2. Calculate b(n(s)). 1020*s**4 + 4*s**2 + 2 Let x(b) = b. Let g(l) = 517*l**2. Give x(g(c)). 517*c**2 Let l be 6 - (2/(-2) - 1). Let n be ((-8)/(-10))/(l/20). Let p(x) = 2*x**2 - x**2 - 3*x**2 - x**n. Let s(a) = a. Calculate p(s(t)). -3*t**2 Let i(r) = 11*r. Let t(f) = 56*f. Let b(a) = 11*i(a) - 2*t(a). Let m(n) be the third derivative of -n**5/60 + n**2. Determine b(m(p)). -9*p**2 Let m(j) = -j - 62. Let r(
{ "pile_set_name": "DM Mathematics" }
fy ((i**(-5/4)/i)**(27/5))**(-5/3) assuming i is positive. i**(81/4) Simplify (((j**(-30/7)/j)/j)/j)/(((j*j/j**0)/j)/j) assuming j is positive. j**(-51/7) Simplify (t**1)**(-44)/(t*t**(-2/5)/t)**(1/18) assuming t is positive. t**(-1979/45) Simplify (b**6*b**0*b)**(21/4) assuming b is positive. b**(147/4) Simplify r*r**(-8/11)*r**(-2/7) assuming r is positive. r**(-1/77) Simplify (h**(-3/5)*h*h)**23/(h/(h*h*h**2*h))**(-4/9) assuming h is positive. h**(1369/45) Simplify o*o**(-43)*o**14 assuming o is positive. o**(-28) Simplify t**(-1)/(t**(2/67)*t) assuming t is positive. t**(-136/67) Simplify (b*(b/(b*b**(-8)/b))/b*b**(-9)/b)**36 assuming b is positive. b**(-36) Simplify (c/c**3)**(-2/35) assuming c is positive. c**(4/35) Simplify ((y*(y/y**(1/2))/y*y)/y**(4/3))/(((y*y*y/(y/(y/(((((((y*(y**2*y)/y)/y)/y*y)/y)/y)/y*y)/y)*y)))/y)/(y*y**(-3/13))) assuming y is positive. y**(-239/78) Simplify (r**(-1)*r/(r/(r*r**(-3))))**(-26) assuming r is positive. r**78 Simplify (i**(3/7)/(i*i*i**(-16)))**10 assuming i is positive. i**(1010/7) Simplify (u*u*u/(u/u**11))/(u*u**(-1/25)) assuming u is positive. u**(301/25) Simplify u**2/u*u**6*u*(u/u**(-1/2)*u)**(5/11) assuming u is positive. u**(201/22) Simplify m**(-4)/(m**(19/2)/m) assuming m is positive. m**(-25/2) Simplify (w/((w/(w/((w*(w*w**(-9)*w)/w)/w*w)))/w))/(w*(w/(w/w**0))/w) assuming w is positive. w**9 Simplify (((f**(2/9)/f)/f)/f*(f**(2/7)*f)/f)**(2/51) assuming f is positive. f**(-314/3213) Simplify (y/(((y*y**(-1/2)/y)/y)/y*y))**38 assuming y is positive. y**95 Simplify g**29*g/(g*g**(-4)/g) assuming g is positive. g**34 Simplify (f/(f*f**(-2))*f**(1/11))/(f*f*f**(1/3))**(-21) assuming f is positive. f**(562/11) Simplify o**29*o**(11/6) assuming o is positive. o**(185/6) Simplify (x**(-7/3))**(-3/2) assuming x is positive. x**(7/2) Simplify (w**(-1)*w**(-3/2))/((w/(w*w**(-1/3)))/(w*w**(-2))) assuming w is positive. w**(-23/6) Simplify (y**4/(y/y**(2/7)))**40 assuming y is positive. y**(920/7) Simplify ((i*i/i**(-2/5)*i)**45)**(-3/5) assuming i is positive. i**(-459/5) Simplify (o/(o**(-34)/o))/o**14 assuming o is positive. o**22 Simplify j**(-2/27)*j*j/((j/(j*j**(-16)))/j) assuming j is positive. j**(-353/27) Simplify z/(z/(z**(2/17)*z)*z*z)*(z/(z/(z*((z**(-4)/z)/z)/z)))/z assuming z is positive. z**(-134/17) Simplify j*j**(-13/2)*j*j/j**(-1/10) assuming j is positive. j**(-17/5) Simplify (r/(r*r*r**(1/8)*r*r)*r/(r/r**(-9)*r))**2 assuming r is positive. r**(-105/4) Simplify ((w**0)**14)**12 assuming w is positive. 1 Simplify (w**(-28/3)*w)/(w/(w/w**(2/27))) assuming w is positive. w**(-227/27) Simplify (s/s**12)/s*s**(-4)/s assuming s is positive. s**(-17) Simplify (a*a**(-2)*a)/a**(-3/2) assuming a is positive. a**(3/2) Simplify k**(-1/14)/(k**(1/25)/k) assuming k is positive. k**(311/350) Simplify (w**8/(w**6/w))**(2/35) assuming w is positive. w**(6/35) Simplify (k**(-3)*k**(-3))/(k**0*k)**(8/5) assuming k is positive. k**(-38/5) Simplify ((y/y**(-5))**(2/13))**(-8) assuming y is positive. y**(-96/13) Simplify y/(y*y**9*y)*y**(-8)*(y/((y*y**(2/5))/y*y))/(y*y*y**(-9/5)/y*y*y*y) assuming y is positive. y**(-103/5) Simplify o*o**(-9)*o**(4/11)*o**(2/5)*(o*o*o**1)/o assuming o is positive. o**(-288/55) Simplify ((r*r**0)/((r**(-1/2)/r*r)/r))**9 assuming r is positive. r**(45/2) Simplify (y/y**(-3/5))/(y**5/y*y)*y**(-2/13)/y**(-2) assuming y is positive. y**(-101/65) Simplify (q*q**4*q**3/q)/((q/(q/(q*(q*q**(-2))/q*q)))/(q*q**(-3))) assuming q is positive. q**5 Simplify ((u*u**(-2/3)/u)**(12/13))**(-1/3) assuming u is positive. u**(8/39) Simplify (x/(x/(x**(-2/5)/x))*x)**(2/35)*x**(-2/3)*x**(-2/45)*x*x assuming x is positive. x**(1994/1575) Simplify (s*s**(-1/2))**(4/33) assuming s is positive. s**(2/33) Simplify ((z/z**(-13))/z)/(z**(-3/7)/z) assuming z is positive. z**(101/7) Simplify (b*(b*b*b**2)/b*b/((b/(b*b**(-3)*b))/b))**(-2/47) assuming b is positive. b**(-8/47) Simplify w/(w*w**(2/23))*w/(((w**(-4/5)*w)/w*w)/w)*(w/(w*w/(w/(w**0*w))))**(2/119) assuming w is positive. w**(23213/13685) Simplify ((q*q/q**6)/q**(-3/5))**(-14) assuming q is positive. q**(238/5) Simplify (i**4*i**(1/3))/((i*i/(i*i/(((i/(i/i**(-2/19)))/i)/i)*i))/(i/((i**3*i)/i))) assuming i is positive. i**(310/57) Simplify (s*(s/s**(-2/3))/s)**25/(s**(2/17)*s/(s*s/(s**(1/6)/s)*s)) assuming s is positive. s**(1509/34) Simplify (h*h*h**(-1/5)/h*h*h**(-2))**(-6/19) assuming h is positive. h**(6/95) Simplify f/(f/(((f*f/(f/f**(-2/35)))/f)/f))*f**(-4/7) assuming f is positive. f**(-57/35) Simplify n**16/(n**(-15)*n) assuming n is positive. n**30 Simplify (r*r*r**(6/5))/((r/(r/(r/(r*r*r/r**12)*r)))/r) assuming r is positive. r**(-34/5) Simplify (a**(4/15))**(3/4) assuming a is positive. a**(1/5) Simplify o*o*o*o**(32/3)*o*o*o**(-13) assuming o is positive. o**(8/3) Simplify (v*v*v**(1/3)*v*v*v*v**(2/9))**(5/19) assuming v is positive. v**(250/171) Simplify (v**13*v**(-6)*v)**(4/17) assuming v is positive. v**(32/17) Simplify (h**4*h/(h**3/h)*h*h)**(-21) assuming h is positive. h**(-105) Simplify g**(-6/11)/g**11 assuming g is positive. g**(-127/11) Simplify f**(2/9)/(f*(f*f/f**15)/f*f) assuming f is positive. f**(110/9) Simplify (w**(-1/4)/w*w*w)**(-1/4)/(w**9/w**(-2/9)) assuming w is positive. w**(-1355/144) Simplify (y**(2/5))**(-15)*(y**(-1/4))**(-27/5) assuming y is positive. y**(-93/20) Simplify (z**(-1/5)*z**(2/13)*z)**(4/17) assuming z is positive. z**(248/1105) Simplify (((p*((p*p/(p**(2/7)*p*p))/p)/p)/p)**(-27/2))**(-10) assuming p is positive. p**(-2160/7) Simplify ((n**(-1/2))**(4/7))**(-34/3) assuming n is positive. n**(68/21) Simplify a*a**(2/9)*a**(-2/15) assuming a is positive. a**(49/45) Simplify (u*u/((u/(u*u**(-19)))/u))/u**24 assuming u is positive. u**(-40) Simplify ((y/y**(-4/5))/(y/(((y**7*y)/y)/y)))/(y**(-3)*y**4) assuming y is positive. y**(29/5) Simplify ((s*s**(2/3)*s)/s)**(-28/5) assuming s is positive. s**(-28/3) Simplify (q*q/(q**(-3/8)/q))**29 assuming q is positive. q**(783/8) Simplify ((m*m/m**(-2/3))**(1/31))**(-7/6) assuming m is positive. m**(-28/279) Simplify (h/((h*(h/h**(-10))/h)/h*h)*h**8)**(-37) assuming h is positive. h**74 Simplify (u**(-1))**(-35/2)/(u**(1/7)/(u/u**(-1))) assuming u is positive. u**(271/14) Simplify (m/m**3*m*m*m**(-1/3)/m)**7 assuming m is positive. m**(-28/3) Simplify i*i**(-13/6)*i**19 assuming i is positive. i**(107/6) Simplify ((c**0)**(-1/19))**13 assuming c is positive. 1 Simplify ((c*c**(1/3)/c)**(-1/3))**(-3/8) assuming c is positive. c**(1/24) Simplify w**(-5/2)*w*w**(-4/5)*w*w*w**(2/3)/w*w*w**1 assuming w is positive. w**(41/30) Simplify (f**(-8)*f)/(f*f**6*f) assuming f is positive. f**(-15) Simplify (((h/(h/((h*h**(-1)*h)/h*h)))/h*h)/(h*(h*(h*(h**(-6)*h)/h*h)/h)/h))**(-24/13) assuming h is positive. h**(-120/13) Simplify (v*v/(v/v**(-2/5)))**(2/35)*(v**(-1/4))**(5/3) assuming v is positive. v**(-803/2100) Simplify k/(k**(-4/15)/k)*k*k/(k**18*k) assuming k is positive. k**(-221/15) Simplify b/(b**(-3)/b)*b/b**(-42) assuming b is positive. b**48 Simplify (n*n/((n*n**(1/4))/n*n)*n*n*n)**14*(n*n/(n*n*n**0*n))**31 assuming n is positive. n**(43/2) Simplify (p**(-1/24)*p**(-16))**5 assuming p is positive. p**(-1925/24) Simplify (r**(-2)*r)/(r/(r/(r*r/(r/(r*r/(r/(r**(-1/12)/r)))))*r))*r*r/r**(2/7)*r*(r*r/(r**(-5)*r)*r*r)/r*r assuming r is positive. r**(823/84) Simplify (((c**(1/5)*c)/c)/c**(-2/7))**(-15/2) assuming c is positive. c**(-51/14) Simplify (y**(2/31)/y)/y*y**(2/115) assuming y is positive. y**(-6838/3565) Simplify g**(-25)*g*g*(g/g**(-3)*g*g)/g assuming g is positive. g**(-18) Simplify v**(-8)/(v**0*v*v) assuming v is positive. v**(-10) Simplify n**(-1/3)/(n*n**(-19)) assuming n is positive. n**(53/3) Simplify (t**(-8))**(-6/11) assuming t is positive. t**(48/11) Simplify ((n/((n*n**3)/n))**(26/7))**4 assuming n is positive. n**(-208/7) Simplify (z**(2/13))**(-46) assuming z is positive. z**(-92/13) Simplify ((r/r**2)/r*r)**42/((r**(1/2)*r*r)/r**(-2/9)) assuming r is positive. r**(-805/18) Simplify (l**(2/27)/l)**(-44) assuming l is positive. l**(1100/27) Simplify (r**(-11)*r**11)**(-25) assuming r is positive. 1 Simplify (c*c*c*c**(1/3)*c*c*c)/(c*c**(1/15)/c) assuming c is positive. c**(94/15) Simplify (z*z/(z/(z**(-2/19)/z))*z*z)/((z*(z*(z/(((z*z**1)/z*z)
{ "pile_set_name": "DM Mathematics" }
*p + 0 = -z, -5*p = -25 for s. 4 Suppose -2*m - 1 + 4 = k, -4*m + 9 = 3*k. Solve -4*w + 2 = 2*h, -2 + m = 3*w + 5*h for w. 1 Suppose 0 = -3*o + 4*w - 3, 8*o - w = 3*o + 12. Solve -o*f = 4*r - 5*r - 1, f - 4*r = 15 for f. -1 Let r(i) = 15*i - 4. Let q be r(6). Let l = q + -58. Suppose l - 8 = 4*c. Solve c*p - 2*y = -3, p = -y - 0*y + 5 for p. 1 Suppose -10*k = -f - 5*k + 19, -3*k - 29 = -5*f. Solve -5*u = -4*t - 0 - 5, t - f*u + 4 = 0 for t. 0 Let d = -74 - -99. Solve -5*u + 0*g + d = 5*g, -5*u + 4*g = 2 for u. 2 Let m(y) = 2*y**3 + 3*y**2 - 3*y + 4. Let g be m(-3). Let j be ((-4)/14)/(2/g). Solve 2*d - 2*x = 0, -j*d - 5*x = -d + 24 for d. -4 Suppose 2*i = -4*u + 20, -3*i + 6 - 1 = u. Let f = 9 - i. Let s be 6 - ((1 - 1) + 2). Solve -3*z = 3*n + f, s*n = -3*z + 6*z - 5 for n. -2 Let o(z) = 3*z**2 + 21*z + 3. Let k be o(-7). Solve 4*h + 0*h = 0, k*h = -4*p - 12 for p. -3 Suppose 2*d = 3*d. Suppose d = -5*b + 3*b. Solve 4*c + b*y = 2*y + 20, -4*c - 5*y = 8 for c. 3 Suppose -3*i - 3*r + 5 = -13, 5*i - 5*r = 10. Solve 6*w - 2*g = w - 4, -w + i = -2*g for w. -2 Let c = -17 - -18. Solve -u + c - 2 = -4*n, -u + n - 4 = 0 for u. -5 Suppose -2*n = n - 6. Solve 0 = 3*m - 5*x + 27, -2*x + 5*x - 1 = -n*m for m. -4 Let t be 13/2 + -4 + 35/14. Solve -s - y - 3*y = -12, 2*y = t*s + 6 for s. 0 Let k(i) = -7*i - 50. Let v be k(-9). Solve -18 = -4*p + 2*z, -3*p - z = -6*p + v for p. 4 Suppose 32 = 5*k + 4*l, 14 + 6 = 2*k + 4*l. Suppose 2*v + 3*j + 2*j - 17 = 0, -8 = 4*v - 4*j. Let a = k + v. Solve -3*u + y + 5 = -3, 0 = -a*u - 2*y + 6 for u. 2 Let d(j) = -j**3 - 2*j**2 - j - 2. Let l be d(-2). Solve -2*i - 2*m + 3 - 1 = l, 2*m = -i for i. 2 Suppose -3*z = -z - 8. Suppose -8 = -4*q - 4*l, l - 2 = -2*q + z. Solve -4*k = -q*s - 9*k + 20, s + k = 5 for s. 5 Let h be ((-2)/6)/((-5)/30). Suppose -3*x = -9, -5*a - 3*x = h*x - 45. Solve 0 = 3*v - s - 0*s - 9, 3*v = 2*s + a for v. 4 Suppose 3*p - 15 = 2*p - 4*a, -p + 23 = -4*a. Let i = p - 8. Solve -2*z + y + 4 = i, 12 = -2*z + 2*y for z. -1 Let a be (-3 - 2/1)/(-1). Let n = a - 2. Let j(o) = o**2 + 13*o + 4. Let i be j(-13). Solve -i*y - w = -8*y, 0 = -n*y - w + 7 for y. 1 Suppose 4*o - 24 = -d, 0 = -4*d + o + 22 + 23. Solve 0*p - s = 2*p + 2, -4*p - d = -2*s for p. -2 Let c(u) = 4*u + 0*u - 4*u - u + 11. Let w be (-61)/(-7) - (-4)/14. Let o be c(w). Solve 3*q = -2*h, 0 = 3*h + o*q - 0*q - 5 for h. 3 Let l = -18 - -20. Solve -2*k - 18 = 4*j, k = 2*j - l*k + 13 for j. -5 Let o = -10 - -12. Solve -o*j = -4*k + 26, -2*j + 0*k = 2*k - 4 for j. -3 Let i be -14 - (0/3)/(-3). Let d be 77/i + (-1)/2. Let l be 15/10*(-16)/d. Solve -4*a + a + b = l, 3*b = 3*a for a. -2 Let g = 18 + -13. Suppose 0*l + 30 = 2*x + l, g*x = -4*l + 75. Solve 5*t - 2*k = -23, -4*t - 3*k + x = -5*t for t. -3 Let c(f) = -f + 13. Let r be c(11). Let j(a) = 12*a - 1. Let g be j(r). Solve 5*u + 3*v = -20, 0 = -u - u + 5*v + g for u. -1 Suppose 5*w = -5*h, 0 = -5*h - 4*w - 2 - 0. Let f = h + 6. Solve -11 = -2*m + 3*n, -m - f*n = m + 24 for m. -2 Let k = 0 - -9. Let g be 4/(3*3/k). Solve y + g*n = -15, -5*y = n - 4*n - 40 for y. 5 Let t(w) = -5*w - 6. Let p be t(-2). Solve -16 = -3*s - 2*c, c - 3*c = -p for s. 4 Let p = -6 + 5. Let n = p - -5. Solve n*b - 9 - 11 = 0, -b + 5 = -3*k for k. 0 Let r be (-4 - (-4 + 3))/(-1). Suppose 0 = -h + 7 + r. Let g = -7 + h. Solve 20 = 5*p, -g*s + 3*p = 2*p + 16 for s. -4 Let l(q) = -q**3 + 7*q**2 - 5*q - 2. Let b be l(6). Solve 2*a - 4*z = 5*a + 12, -b*a = -3*z - 9 for a. 0 Let m be -3*(-5)/6*44. Suppose -b + m = 4*b. Suppose 0*r - 2*v = -2*r + b, 0 = r + 5*v + 1. Solve 5*i - 20 = -4*c + 2*c, 3*c = 3*i + r for i. 2 Let v be 2/(-5) - (-84)/10. Suppose -4*c = -c - 15. Let u be (-1 - -2)/(1/c). Solve -i - 2*k = -0 - v, -k + 13 = u*i for i. 2 Let h = 1 - -4. Suppose h*y - 6 = 9. Solve -4*j = k - 19 - 4, -5*k = -y*j for j. 5 Let n(j) = j**3 - j**2 - j + 2. Let d be n(0). Solve d*l + 3*l + 10 = 5*k, -14 = 3*k + l for k. -3 Suppose 3*x - 8 + 0 = 2*y, 0 = -5*x + 4*y + 12. Solve q = 0, 5*r + x*q + 6 = -4 for r. -2 Suppose 4*x + 3*o = -12, -8 = -0*o + 2*o. Solve x = 2*z - 2*p, -2*z = -5*z - 4*p - 28 for z. -4 Suppose 6*d - 15 = d. Let k be (2/5)/((-2)/60). Let o = k - -23. Solve 4 = 5*z + 3*f - 21, d*z + f = o for z. 2 Suppose y = -g + 3, 17 = -3*g + 8*g + 4*y. Let p be 15*(-2)/12*-2. Suppose -4*s + 4 = x, 2 = 2*s + p*x - 0. Solve -2*f - 2*t + s = 5, g*t + 2 = -f for f. -2 Suppose z + 3 - 4 = 0. Solve -3*p + 5*f = 10, -4*p + 3*f - z = 5 for p. 0 Let f be (14/5)/((-4)/(-10)). Suppose -3*n = o + f + 2, -o - 6 = 2*n. Solve 5*i - 3*z = 0, -i = -o*i - 4*z for i. 0 Let j(q) = -6*q - 7. Let g be j(-2). Solve -3*r - 3 = g*v - 6, 3*v - r = 13 for v. 3 Let l = -5 - -3. Let n be 2*((-35)/l)/7. Solve a + 0 = -3*u - 10, n*a = 2*u - 16 for a. -4 Let i = -11 - -13. Suppose -2*t + 56 = 2*t. Suppose x + s - 3 = 0, -2*x - 2*s = 3*s. Solve -5 - x = -4*n - 5*b, -2*b = -i*n + t for n. 5 Let n = -13 + 15. Solve -2*h + n*b = 3 - 9, 0 = 3*b + 6 for h. 1 Let u(o) be the third derivative of o**4/2 - o**3/6 - 3*o**2. Let w be u(1). Let q = -6 + w. Solve r - q*x = -7, 3*r = 6*r - 5*x + 1 for r. 3 Suppose -7*s = -2*s + 50. Let w be 1/(-5) - 42/s. Solve 4*m - 2 = -2*n, 0*n + 5*n + w*m + 1 = 0 for n. -1 Let n = 13 - 13. Solve n = -2*b - 2*y + 6, 0*b + 2*b - 4*y - 12 = 0 for b. 4 Suppose 4*b - 1 = 7. Solve b*z + s = 3*z, -4*s = 8 for z. -2 Let s be (1 + 0)/(1/6). Suppose -b - 5 = -4*a + 7, 4*b + 6 = 2*a. Suppose 0 = -b*d - d + 7. Solve -2*x - 5*j + s - 15 = 0, -j = -4*x - d for x. -2 Suppose 2*l + 14 = 20. Let h be ((-4)/6)/((-8)/60). Solve -3*r - 12 = 5*n, 2*r + l*n - 12 = h*r for r. -4 Let z = 3 + 12. Let u be (-6)/(1 + -3) + z. Solve 4*s = -2*l - u, -l + 0*l - 13 = 3*s for l. -1 Let j(v) = 7*v**2. Let p be j(1). Suppose -y = d - p, -5*d - 19 = -5*y - 6*d. Solve 2*u = -2*w + 4*w + 6, -y*w = 4*u + 2 for u. 1 Let d be (2 + -5)*(-2)/3. Let g be ((-14)/28)/(1/(-54)). Solve -5*q = -4*a - g, -d*q - 5*a - 9 = -0 for q. 3 Suppose -4*d - 51 - 25 = 0. Let p = d - -34. Solve -3*f + p = 3*b, -4*f - 5*b + 0*b + 24 = 0 for f. 1 Suppose 8 = -4*u - 3*w, u + 4*w = 6*u - 21. Suppose 2*h = 4*l + 8, 4*h + 3 = -2*l - u. Solve -2*x = -4*b + x - 23, -4*b + 5*x - 25 = h for b. -5 Suppose 0 = -x - 4*z - 3 - 13, 0 = 3*x + 5*z + 13. Solve 3*d + 7 = -x*q, -3*q + d = -0*q - 11 for q. 2 Let l(t) = 4*t**2 - 7*t + 6. Let r be l(1). Solve -3*d - 5*s = -18, 3*d + r = s + s for d. 1 Let g be ((-4)/(-3))/((-2)/(-6)). Suppose 6*s + s = 0. Solve -3*d - 3*k = -8*k - g, s = 3*d - k - 8 for d. 3 Suppose 0*j = -2*j - 2*h + 14, 0 = 2*j - 4*h + 10. Let n be 1 - 3*14/j. Let r = 18 + n. Solve -2*u = r*t + u, -2*u = 0 for t. 0 Let o be 593/(-7) - 2/7. Let w be 1/(-4) + o/(-20). Solve -21 = -w*h + 3*q, 5*h - 5*q = 7 + 23 for h. 3 Let c(t) = -t**2 + 3 + 3*t**2 - 3*t**2. Suppose -3*j - 9 = -5*n, -2 = 3*n + 5*j + 13. Let r be c(n). Solve 4*o - 2*o - 5*v + 21 = 0, 0 = o - v + r for o. 2 Let s(z) = z**3 - 4*z**2 - 4*z - 1. Let x be s(5). Solve 0 = -f + x*h - 20, 4*f - 2*h = 3*h - 36 for f. -4 Let x = -4 - -32. Solve -4*n + 30 = -y + 8, -4*y + 4*n = x for y. -2 Let q be 21/(-28) - (-23)/4. Suppose 0 = -5*r + 25, v - q*r + 17 = -5. Solve 2*y = -4*a - 6, a + v*y + 0 + 4 = 0 for a. -1 Suppose 14*b = 17*b. Solve 5*t = 4*l - 12, b = t + 4*l - 13 + 1 for t. 0 Let k(h) = h + 7. Let b be k(-7). Suppose -2*x + 20 - 2 = b. Solve 3*n + u - x = 0, 10*n - 5*n + u - 17 = 0 for n. 4 Let a = 94 - 94. Let l be 11*(0/(-2) + 1). Solve 4*g - 4 = 0, -4*h + a*h = g + l for h. -3 Suppose 5*r - 14*r + 108 = 0. Solve -3*u - r = -8*u - m, 0 = u - m - 6 for u. 3 Let i be (-10)/20*(1 + -1). Solve -g - 13 = 5*m, g - 5*m - 8 + 1 = i for g. -3 Let m(l) = -l**3 + l**2 + l + 3. Let c be m(0). Solve 0*r + t = -2*r, -c*t = 4*r + 4 for r. 2 Let s(t) = 4 - 3 - 4 + 3*t + t**2 + 4. Let w be s(-4). Solve -3 = -4*o + w*h, 0 = -2*o - 0*o - 2*h - 12 for o. -3 Suppose 2*t + 3*t = 3*t. Solve q + 2 - 4 = t, 2*c + 2 = q for c. 0 Let w(z) = -z**2 + 16*z - 12. Let c be w(15). Let f = 14 - 8. Suppose -s = 2*s - f. Solve a = -2*y - s, -a + 2*y - c*y + 1 = 0 for a. 4 Suppose 4 = -c - c. Let l(v) = -v + v**2 + 3*v - v + 1. Let m be l(c). Solve -4*i + 3 = -5*a, -3*i + 0*i = m*a - 9 for i. 2 Let j(n) = -n**2 - n**2 - 6 - n**2 + 2*n**2 + 6*n. Let q be j(4). Solve -2
{ "pile_set_name": "DM Mathematics" }
th biggest value? (a) -0.4 (b) -4 (c) -0.1 (d) 2 (e) -124 b What is the second smallest value in 4, 0.23, -5/7? 0.23 What is the biggest value in -0.1, 0.0707, -4/9? 0.0707 Which is the third biggest value? (a) -2 (b) -0.2 (c) 8 (d) 0.2 (e) 1 d What is the second smallest value in -0.2, 1/5, 5, 2/5? 1/5 What is the smallest value in -2/23, 1, -28? -28 What is the second smallest value in -7, 3, 0.3? 0.3 What is the fourth biggest value in 3/8, 4, 6, -1, 0.01? 0.01 What is the biggest value in 2, 0.5, -5, -48/11? 2 What is the third smallest value in -83, -0.2, -3/7, 1? -0.2 What is the smallest value in 0.022, -1/6, 2? -1/6 Which is the smallest value? (a) -10 (b) 4/3 (c) 4 (d) 3 (e) -5 a What is the second biggest value in 0.09, 2/7, -2? 0.09 Which is the second smallest value? (a) -0.04 (b) -0.2 (c) -10 (d) 0.4 (e) 1 b Which is the biggest value? (a) 0.4 (b) -3 (c) 3 (d) -17 c What is the third smallest value in 0.2, 147, 3, -0.4? 3 What is the smallest value in -4/35, 4, 3, -3? -3 Which is the second smallest value? (a) 4 (b) 1/185 (c) -1 (d) -2 c What is the biggest value in -36.7, 3, -0.1? 3 Which is the second biggest value? (a) 1 (b) 0.3 (c) 11 (d) -3 a What is the fifth biggest value in -1, 0.3, -1/9, 33, -0.4? -1 What is the third biggest value in 0.1, -1/5, -51/7? -51/7 Which is the third smallest value? (a) 5 (b) 1/4 (c) 96 (d) -1 a What is the fourth smallest value in 2, 0.5, 39, -0.4? 39 What is the smallest value in -33/2, -0.3, -1, -2/11? -33/2 Which is the smallest value? (a) 3/64 (b) -0.03 (c) -3 c Which is the fourth smallest value? (a) -0.5 (b) 10 (c) 1/6 (d) -2/17 (e) 0.1 c Which is the smallest value? (a) -1/4 (b) 4 (c) 0 (d) 1 a Which is the second biggest value? (a) -36 (b) 3 (c) 209 b What is the smallest value in 0.5, 0.1, 16, 15? 0.1 Which is the third smallest value? (a) 0.01 (b) 17 (c) -0.2 (d) 0.1 (e) -2 a Which is the fourth smallest value? (a) 22 (b) -104 (c) -3 (d) 0 (e) 2/3 e Which is the second smallest value? (a) -1.3 (b) 0.077 (c) 5 b What is the third smallest value in 0.2, 0, 16, 0.5? 0.5 What is the second biggest value in -423, 2, 1.2? 1.2 What is the smallest value in 5, -3/8, -0.1, -0.5, 1/5? -0.5 What is the fifth biggest value in -3, -1/3, 0.01, 3/7, 2/111? -3 Which is the fifth smallest value? (a) -3/7 (b) 1/4 (c) -5 (d) -0.01 (e) 8 e What is the fourth smallest value in 6/29, 4/7, 1.3, -2/7, 2/7? 4/7 Which is the third smallest value? (a) 2 (b) -2/121 (c) -0.1 (d) -1/5 b What is the fourth smallest value in -0.5, 0.1, -2, 2/7, 0.3? 2/7 Which is the third biggest value? (a) -20 (b) -68 (c) 0.1 b What is the fifth biggest value in 3, 0.3, -0.3, 52, 0.2? -0.3 Which is the fourth biggest value? (a) -3 (b) -3/2 (c) 0.031 (d) -4 d Which is the second smallest value? (a) -2/5 (b) 0.1 (c) 1.2 (d) 5 b What is the third smallest value in -1, 1/4, -3, -5, -1/23? -1 What is the third biggest value in 0, -2, 3/2, 0.5? 0 What is the smallest value in 1/9, -0.16, 6, -0.2? -0.2 What is the second biggest value in 1, 1/6, 2/7, 0.1, 4? 1 Which is the third smallest value? (a) 2/9 (b) -1/6 (c) 12 (d) 1 (e) -0.07 a What is the third smallest value in 1, 7, -1, 0.9? 1 What is the third biggest value in 0.02, 6, -1/5? -1/5 What is the second smallest value in 7/4, -2, 1/5? 1/5 What is the second smallest value in -658, -2/9, -1/2? -1/2 What is the smallest value in -1/5, -211, 1/4? -211 What is the second biggest value in 1, 1/2, -12/17? 1/2 What is the third smallest value in -0.2, 0, 443? 443 What is the third smallest value in -0.1, -50, 1, 0.4? 0.4 Which is the fourth biggest value? (a) 0.1 (b) 0 (c) 6 (d) -5 (e) -2/103 e Which is the biggest value? (a) 21 (b) 0.3 (c) 33 c Which is the biggest value? (a) -7 (b) 3.21 (c) -2/3 b Which is the smallest value? (a) -9 (b) 2 (c) -1/79 (d) -0.1 a Which is the smallest value? (a) -5 (b) 2/11 (c) 4 (d) 3 (e) -5/3 a What is the third biggest value in -648, -1, 1/7, -3? -3 What is the fourth biggest value in 4, 0, -2/11, -0.5? -0.5 What is the fourth smallest value in -0.6, 1, 3, 0.8? 3 Which is the second biggest value? (a) 3 (b) -638 (c) -0.3 c Which is the third biggest value? (a) -0.072 (b) -5 (c) 197/3 b What is the smallest value in -2/7, 3, -1/7, -7? -7 What is the third biggest value in -0.5, 1, 2, -4? -0.5 What is the third biggest value in 0.3, -7420, -5? -7420 Which is the second smallest value? (a) -0.13 (b) -0.5 (c) 43 a What is the smallest value in -2, 32, -1/4, -0.04, 5? -2 What is the second biggest value in -3, -4290, -5, -2/3, 0.2? -2/3 What is the fourth biggest value in 0, -4, 1.6, -0.1? -4 What is the second biggest value in -2/3, 0, -0.2, 8/9, 0.07? 0.07 What is the second biggest value in -0.3, -5, -0.02698, -1? -0.3 Which is the third biggest value? (a) 0.3 (b) 0.5 (c) -4 (d) 1/238 d Which is the smallest value? (a) -2/15 (b) 5 (c) 0.5 (d) 11 (e) 0.2 a Which is the fifth smallest value? (a) -1 (b) -35 (c) -0.1 (d) -2 (e) 3 e Which is the fourth smallest value? (a) -4 (b) 4.6 (c) 2/15 (d) -3 b Which is the third biggest value? (a) 0.2 (b) -9/26 (c) -3/2 (d) -4 (e) 0.3 b Which is the third biggest value? (a) -21 (b) -336 (c) 2/13 b Which is the biggest value? (a) -1/5 (b) -3 (c) 1/3 (d) 3 d Which is the smallest value? (a) -0.2 (b) 2 (c) 1/3 (d) 1279 a What is the smallest value in 22, -483, -1/3, -2/7? -483 What is the fifth biggest value in -2/9, 0.3, 0.15, -0.88, 4? -0.88 What is the third biggest value in -1/2, 1, 4, 2? 1 Which is the biggest value? (a) -17/4 (b) -0.2 (c) 2 c What is the third biggest value in 1, 3, -2/5, 406, -3/5? 1 What is the second smallest value in 0, -3, 0.1? 0 Which is the second smallest value? (a) 2 (b) -0.4 (c) 93 a What is the second biggest value in 2, 5, -1/9? 2 What is the third smallest value in -3/7, -200, -2/9, 1/4? -2/9 What is the second biggest value in 1.2, 5.5, 0.6? 1.2 Which is the third biggest value? (a) -1 (b) -0.5 (c) 0.5 (d) 24 b What is the third biggest value in -2/7, 0.1, 0.5, 0? 0 Which is the fifth smallest value? (a) -0.3 (b) -3 (c) -0.078 (d) -4/7 (e) 0.5 e What is the second biggest value in 1, 2/9, 14? 1 What is the biggest value in 2, 129, 1/4, 0.5? 129 Which is the fourth smallest value? (a) -2/9 (b) -1/5 (c) 12/11 (d) -8 (e) -4 b Which is the second biggest value? (a) -1/5 (b) 2 (c) -3 (d) -0.049 d What is the second smallest value in 0.8, -4, -2, 1/21? -2 Which is the second smallest value? (a) -0.34 (b) 3/2 (c) 1 c What is the smallest value in 1, 4, -5, -3/14? -5 What is the biggest value in -333, 0.2, -5? 0.2 What is the smallest value in -4/3, 0.9, 2, -1/28? -4/3 Which is the biggest value? (a) 5 (b) 6/11 (c) -3 (d) -2/3 a What is the third biggest value in 1/5, 1.7, 1/2? 1/5 Which is the smallest value? (a) 1/4 (b) -0.2 (c) 3 (d) -0.17 b Which is the third biggest value? (a) 45/7 (b) -0.3 (c) -4 c What is the biggest value in -105, -21, 1/5, -4, -1? 1/5 What is the second biggest value in 0.1, 2, 1.7, 0? 1.7 What is the third smallest value in 1, -2, -2/137, 3? 1 Which is the biggest value? (a) -5 (b) 4 (c) -157 b What is the fourth smallest value in -0.3, 1/5, 5, 7/36? 5 Which is the biggest value? (a) -1/2 (b) 0.5 (c) 3/5 c What is the smallest value in -0.2, 25, 1/10? -0.2 What is the fourth biggest value in 2/5, 1/3, 2/15, -10? -10 Which is the third biggest value? (a) 3 (b) -4 (c) 1/7 b What is the biggest value in 4, 2/11, -3, 1/3? 4 What is the biggest value in -5, -2375, 2/15, -0.1? 2/15 Which is the third smallest value? (a) 10/7 (b) 2/11 (c) 0 a What is the biggest value in 2/7, -1, -4, 3, -126? 3 What is the second smallest value in 0.15, -1/4, 0, 70? 0 What is the fourth biggest value in 5, -0.3, -3/7, 3? -3/7 Which is the fourth biggest value? (a) -7/5 (b) -3/4 (c) -3/2 (d) -5 d Which is the third biggest value? (a) -1/6 (b) 2/9 (c) -2 (d) 3/4 a What is the third biggest value in -3, 0.5, -5/2, -0.41? -5/2 What is the second smallest value in 3, -20, -2? -2 Which is the smallest value? (a) 2/3 (b) -0.4 (c) -1/36 b Which is the fourth biggest value? (a) 65 (b)
{ "pile_set_name": "DM Mathematics" }
5/72 + -1599/8. Find the common denominator of -18/11 and z. 99 Suppose -4*c - 5*l + 18 = 0, 2*l + 8 = c - 3. What is the least common multiple of c and 1? 7 Suppose -2*l - l = -27. Let a be 29/9 - 2/l. Suppose y + 16 + 5 = w, -y - 61 = -a*w. Calculate the lowest common multiple of w and 4. 20 Let v(o) = 12*o - 5 - 2 - o**2 + 2 - 3. Calculate the least common multiple of v(11) and 11. 33 Suppose 0 = 3*j - 19 - 26. Calculate the smallest common multiple of 3 and j. 15 Suppose -3*j = -11 + 2. What is the lowest common multiple of j and 6? 6 Let o = 21 - 14. Let z(a) = a**2 - a. Let i(k) = -8*k**2 + 2*k - 1. Let r(p) = -i(p) - z(p). Calculate the smallest common multiple of o and r(1). 7 Let j(p) = 3*p - 7. Let n = 4 - 4. Let x be (n + -1)*-5 - 0. Calculate the lowest common multiple of 16 and j(x). 16 Let i = 7 - 0. Calculate the smallest common multiple of 2 and i. 14 Let a be -3*12/9*-1. Suppose -a*i = -5*t - 127, -5*i = -3*t - i - 73. What is the common denominator of -44/3 and (-84)/t - 0 - -2? 9 Let a = -24 - -38. What is the least common multiple of a and 6? 42 Suppose 17 = 4*h + h - 2*k, -4*k = 2*h - 26. Suppose 5*p = -3*q - 1 + 70, -21 = -3*p + h*q. Let o = 2 + 8. Calculate the lowest common multiple of o and p. 60 Let l(m) = 14*m**2 + m + 1. Let n be l(-1). Calculate the common denominator of (-518)/(-24) + (-4)/12 and n/49 - 1978/(-84). 12 Let v = 224/3 - 3175/42. Calculate the common denominator of ((-2)/(-3))/((-24)/(-74)) and v. 126 Calculate the least common multiple of 4/(-26) - (-240)/39 and 3. 6 Let b be (12/(-15))/((-1)/10). Suppose 0 = -0*m + 4*m + b. Calculate the common denominator of 36 + ((-5)/m)/5 and -14/9. 18 Suppose 0*v - 4 = -v. Calculate the smallest common multiple of v and -4 + 1/1 - -5. 4 Let h = 72 + -45. Suppose 4*z = -m + h, 27 = 2*m + 3*z - 12. Let l = m + 3. What is the lowest common multiple of 14 and l? 126 Let x(g) = -g**3 - g**2 - g - 1. Let w be x(-2). Let o = -1766 - -14105/8. Calculate the common denominator of ((-3)/w)/((-4)/(-54)) and o. 40 Let d be (4 + -2 + 4137)/(-276). Let x = -17/69 - d. Find the common denominator of x and -21/20. 20 Let n(s) = s**2 + 8*s + 2. Let q be n(6). Suppose 3*c + 4*t = q, -c + 2*t - t + 17 = 0. What is the least common multiple of c and 8? 88 Let c be -10 + (1 - 1) - -1. Let u be 2 - (c/(-3) - -1). What is the common denominator of -49/2 and u - 3/((-120)/(-134))? 20 Let i = -5/182 + -13597/273. Let x = i - -55. Find the common denominator of (125/(-4))/5 - -3 and x. 12 Let u = 49/1761 + 33213437/28176. Let a = 1183 - u. Find the common denominator of -107/14 and a. 112 Let d(j) = -j**3 + 7*j**2 - 4*j - 8. Let t be d(6). Suppose -5*l = -t*c + 22, 2*c = 3*c + 4*l + 5. What is the lowest common multiple of 4 and 31/c - (-1)/(-3)? 20 Suppose 354 = -2*d + 5*i - 340, -4*d - 1370 = -i. Find the common denominator of d/48*5/(-6) and 99/16. 16 Suppose -3*o = 3*h + 198, 68 - 414 = 5*h - 3*o. Find the common denominator of -54/7 and (h/66)/((-6)/(-9)). 77 Let d = -175375/294 + -5324/49. Let q = -708 - d. Calculate the common denominator of 2/(-8) - 11*-2 and q. 12 Let h(s) = 2*s - 2. Let c be h(4). Let q(d) = 3*d**3 - 6*d**2 + 2*d + 4. Let r be q(c). Find the common denominator of (-2)/7 + 324/r and 41/6. 48 Let i(g) = 3*g**3 + 4*g**2 - 5*g - 2. Let v be ((-10)/(-8))/((-1)/4). Let n be i(v). What is the common denominator of 4/(-18) - 362/n and -39/2? 14 Let x(j) = -7 - 3*j + 1 + 4 + 1. What is the smallest common multiple of x(-5) and 12? 84 Let v = -16924/5211 - -105/193. What is the common denominator of -19/6 and v? 54 Let g = -2/55969 + -31454560/503721. Let v = -6290/99 - g. Find the common denominator of (-8 - -8) + 91/8 and v. 88 Let j be 40/(-6) + 5/(-15). Let d = 14 + j. Calculate the least common multiple of 6 and d. 42 What is the least common multiple of 7 and (-2 - -7)*(-18)/(-10)? 63 Let r = -930/11 - -947/22. Find the common denominator of r and 71/20. 20 Let a(n) = n + 1. Calculate the smallest common multiple of a(0) and 10. 10 Let p(j) = -13*j + 4. Let o be p(3). Suppose 49 = 4*z - 4*x + 1, 0 = z - 4*x - 18. Find the common denominator of (-309)/o - 4/z and -76/9. 63 Let i = 921/4 + -2539/12. Find the common denominator of i and 29/3. 3 Let m = -13 - -21. Let y(b) = b**2 - 3*b. What is the lowest common multiple of m and y(-3)? 72 Let m be (-1)/((-1)/(-37)) - -1. What is the common denominator of 7/13 and (-15)/16*(-264)/m? 104 Let q = 1/3383 - 307857/13532. Suppose -3*g + g + 18 = -4*m, -g + 5 = 0. What is the common denominator of m/(-4) + 96/44 and q? 44 Let u = 8437/332 - 55/83. Let v = -5 - -7. Calculate the common denominator of u and (98 + -1)*v/(-8). 4 Find the common denominator of -95/24 and (1 - 2)*(-301)/(-28). 24 Let b = -45 + 29. What is the common denominator of 5/8 and 106/b*(-6)/(-15)? 40 Let p = 34929/10 + -3498. Let n = 2536 + -30461/12. Find the common denominator of n and p. 60 Let f(b) = b + 2. Let g be f(-2). Let c be 1/(2 + -3)*g. Suppose -a + 4*l = -c*l - 5, 2*a = 2*l + 10. What is the smallest common multiple of 4 and a? 20 Suppose -3*j + 5*o = -16, 6*j + 5*o = 2*j - 2. Calculate the common denominator of 246/(-20)*(-3 + j) and 47/5. 10 Suppose -72 - 33 = -3*m. Let u = m + -24. What is the least common multiple of 8 and u? 88 What is the common denominator of ((-153)/15)/(16/20) and 49/58? 116 Suppose 0 = -5*u - a + 229, 0 = -4*u - 3*a + 7*a + 188. What is the smallest common multiple of u and 12? 276 Let i(y) = 2*y + 42. What is the least common multiple of 12 and i(-18)? 12 Let u = 2/785 + -15718/7065. Let y = -196016617729/2737 - -71617323. Let x = y + -2/391. Find the common denominator of u and x. 63 Let j(u) be the first derivative of -1/4*u**4 - 2*u - 5/3*u**3 + 3/2*u**2 - 1. Find the common denominator of 34/7 and j(-3). 7 Let b = -35845/8 - -4489. Let r = 2/9983241791 + -345290383837277/59699785910180. Let h = r - -40/299. Calculate the common denominator of b and h. 40 Let x(o) = -o**2 + 13*o - 16. Suppose 3*d = -3*g + 48, 5*d + 2*g = 42 + 23. Calculate the lowest common multiple of (-8)/(-6) - 4/(-6) and x(d). 6 Suppose -37*d = -32*d - 60. Calculate the smallest common multiple of 27 and d. 108 Let y = -407442988457/41508799098 + -27056/1507547. Let l = y - -2/4589. Let w = 17178 + -343491/20. Find the common denominator of l and w. 60 Let g = -38 + 393/10. Find the common denominator of (36/(-14))/9 - 101/63 and g. 90 Let d = -5 + 27. Suppose 5*k + 2*s - 141 = 0, 0 = -3*s - s - 8. Suppose -5 = 3*q - k. Calculate the smallest common multiple of d and q. 88 Suppose -a + 2 = 6. What is the common denominator of 2/(-8)*15/a and -11/14? 112 Let b(p) = p**3 + 5*p**2 - 2*p + 6. What is the lowest common multiple of b(-3) and 18? 90 What is the smallest common multiple of 6 and 3*(-6)/27 + (-58)/(-6)? 18 Suppose -t = 2*o + 32, 7*t - 2*t = 2*o + 20. Find the common denominator of (-31)/4 - (-1)/(-3) and ((-290)/o)/(88/18). 132 Calculate the common denominator of ((-396)/135)/(-2 + 26/20) and 119/30. 210 Calculate the common denominator of -53/4 and 90/108*181/150*2. 180 Let m = 25 - 13. Suppose -c + 2*u = 4*c - 17, 4*c - m = 2*u. What is the lowest common multiple of 5 and c? 5 Let t be (-24)/(-20)*(-40)/(-6). What is the common denominator of -13*t/(-18) + 0 and 23/4? 36 Suppose 0 = o - 10 - 8. What is the smallest common multiple of o and 24? 72 Suppose 4*x - 192 = -4*j, -7*j + 3*j - 144 = -3*x. Suppose x = 9*d - 10*d. Calculate the common denominator of d and 123/10. 10 Let c(l) = -l + 22. What is the least common multiple of 2 and c(16)? 6 Let x = 7267 + -94522/13. Calculate the common denominator of x and -19/3. 39 What is the common denominator of -11/10 and (21/15)/(6/(-165))? 10 Let u(k) = -k**2 + 9*k + 8. Let f be u(8). Let y be (f/12)/(1/9). Suppose 5*q - y = 3*q. What is the smallest common multiple of 3 and q? 6 Suppose 4*x + 9 = 4*s - 7, -2*x - 12 = -3*s. Calculate the least common multiple of 30 and s. 60 Let p(o) = 2*o - 3. Let j be p(5). Let t(n) = n**3 - 7*n**2 + 3*n - 1. Calculate the lowest common multiple of t(j) and (-3)/(-2*(-6)/(-56)). 140 Let j = 8323292/13 - 8808484/13. Let t = j - -37286. Let q = 5169/130 + t. Find the common denominator of -33/5 and q. 10 Let n be (-2)/9 - 25/9. Find the common denom
{ "pile_set_name": "DM Mathematics" }
What is the eighth root of 267319816 to the nearest integer? 11 What is 49535105 to the power of 1/10, to the nearest integer? 6 What is 323896274 to the power of 1/6, to the nearest integer? 26 What is 45155162 to the power of 1/9, to the nearest integer? 7 What is the fifth root of 26752385 to the nearest integer? 31 What is the tenth root of 1256913448 to the nearest integer? 8 What is 16504906 to the power of 1/4, to the nearest integer? 64 What is 1324157211 to the power of 1/10, to the nearest integer? 8 What is 131886370 to the power of 1/4, to the nearest integer? 107 What is the square root of 173326565 to the nearest integer? 13165 What is 110303992 to the power of 1/9, to the nearest integer? 8 What is 1049853115 to the power of 1/2, to the nearest integer? 32401 What is the square root of 61895104 to the nearest integer? 7867 What is the tenth root of 604701209 to the nearest integer? 8 What is 185573770 to the power of 1/3, to the nearest integer? 570 What is the square root of 5098603179 to the nearest integer? 71405 What is the cube root of 10576440 to the nearest integer? 220 What is the eighth root of 46807965 to the nearest integer? 9 What is 4981561865 to the power of 1/8, to the nearest integer? 16 What is 41191415 to the power of 1/2, to the nearest integer? 6418 What is the sixth root of 39790830 to the nearest integer? 18 What is the fifth root of 605425020 to the nearest integer? 57 What is 263881046 to the power of 1/3, to the nearest integer? 641 What is the third root of 44743377 to the nearest integer? 355 What is the seventh root of 69008873 to the nearest integer? 13 What is the square root of 224259002 to the nearest integer? 14975 What is 45791210 to the power of 1/2, to the nearest integer? 6767 What is the cube root of 384753315 to the nearest integer? 727 What is 38740931 to the power of 1/2, to the nearest integer? 6224 What is 32326341 to the power of 1/4, to the nearest integer? 75 What is 13146136 to the power of 1/5, to the nearest integer? 27 What is the sixth root of 18640954 to the nearest integer? 16 What is the fifth root of 49958474 to the nearest integer? 35 What is the third root of 2513809742 to the nearest integer? 1360 What is 2252665877 to the power of 1/10, to the nearest integer? 9 What is the seventh root of 35268461 to the nearest integer? 12 What is the square root of 820376983 to the nearest integer? 28642 What is 182918658 to the power of 1/3, to the nearest integer? 568 What is 5034479379 to the power of 1/5, to the nearest integer? 87 What is the square root of 9405543 to the nearest integer? 3067 What is the square root of 327782788 to the nearest integer? 18105 What is 208245438 to the power of 1/6, to the nearest integer? 24 What is the seventh root of 4414855749 to the nearest integer? 24 What is the eighth root of 2499099770 to the nearest integer? 15 What is the square root of 458600144 to the nearest integer? 21415 What is 8615126 to the power of 1/2, to the nearest integer? 2935 What is 93732570 to the power of 1/2, to the nearest integer? 9682 What is 220794719 to the power of 1/3, to the nearest integer? 604 What is the ninth root of 5232388015 to the nearest integer? 12 What is the square root of 2024834850 to the nearest integer? 44998 What is 882073969 to the power of 1/2, to the nearest integer? 29700 What is the seventh root of 101657709 to the nearest integer? 14 What is the cube root of 20274148 to the nearest integer? 273 What is the square root of 926200872 to the nearest integer? 30434 What is 102273484 to the power of 1/2, to the nearest integer? 10113 What is 1134146 to the power of 1/2, to the nearest integer? 1065 What is 35315542 to the power of 1/6, to the nearest integer? 18 What is the cube root of 265931171 to the nearest integer? 643 What is the sixth root of 131838456 to the nearest integer? 23 What is 4423280171 to the power of 1/10, to the nearest integer? 9 What is the fifth root of 296650243 to the nearest integer? 49 What is the square root of 3245835769 to the nearest integer? 56972 What is the seventh root of 3738966739 to the nearest integer? 23 What is 94387783 to the power of 1/4, to the nearest integer? 99 What is the tenth root of 232444487 to the nearest integer? 7 What is the third root of 476069607 to the nearest integer? 781 What is 45726561 to the power of 1/2, to the nearest integer? 6762 What is 1161796600 to the power of 1/2, to the nearest integer? 34085 What is the third root of 40859637 to the nearest integer? 344 What is 801396900 to the power of 1/2, to the nearest integer? 28309 What is 240535101 to the power of 1/5, to the nearest integer? 47 What is 955105527 to the power of 1/6, to the nearest integer? 31 What is the cube root of 798369805 to the nearest integer? 928 What is the cube root of 3876374609 to the nearest integer? 1571 What is the third root of 39450249 to the nearest integer? 340 What is 391629639 to the power of 1/4, to the nearest integer? 141 What is 2479349132 to the power of 1/8, to the nearest integer? 15 What is 39288152 to the power of 1/3, to the nearest integer? 340 What is the third root of 204078914 to the nearest integer? 589 What is the square root of 334411977 to the nearest integer? 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6 What is 3102391749 to the power of 1/2, to the nearest integer? 55699 What is 89921765 to the power of 1/3, to the nearest integer? 448 What is 619829355 to the power of 1/2, to the nearest integer? 24896 What is the cube root of 150348964 to the nearest integer? 532 What is 366193516 to the power of 1/4, to the nearest integer? 138 What is 42390948 to the power of 1/2, to the nearest integer? 6511 What is the cube root of 139834864 to the nearest integer? 519 What is the tenth root of 45195164 to the nearest integer? 6 What is 927034506 to the power of 1/3, to the nearest integer? 975 What is the cube root of 13459359 to the nearest integer? 238 What is 44842207 to the power of 1/3, to the nearest integer? 355 What is the seventh root of 2900980356 to the nearest integer? 22 What is 1804782696 to the power of 1/2, to the nearest integer? 42483 What is the third root of 287146250 to the nearest integer? 660 What is the fourth root of 927567031 to the nearest integer? 175 What is 837070005 to the power of 1/3, to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
ors of 39573846? 2, 3, 13, 19, 23, 43 List the prime factors of 2156835701. 89, 107, 226487 List the prime factors of 4077492291. 3, 97, 349, 1487 List the prime factors of 94692648. 2, 3, 3945527 List the prime factors of 66968903. 131, 511213 List the prime factors of 4758366. 2, 3, 61, 13001 List the prime factors of 660416118. 2, 3, 110069353 What are the prime factors of 254308453? 7, 29, 1252751 List the prime factors of 105863636. 2, 31, 853739 What are the prime factors of 99028331? 277, 357503 What are the prime factors of 4335636117? 3, 28753, 50263 List the prime factors of 658654162. 2, 329327081 What are the prime factors of 344275949? 67, 83, 61909 What are the prime factors of 1129672894? 2, 7, 103, 783407 List the prime factors of 200059226. 2, 29, 3449297 What are the prime factors of 5211530248? 2, 651441281 What are the prime factors of 687261105? 3, 5, 409, 461 List the prime factors of 1158282677. 41, 1489, 18973 List the prime factors of 1032535365. 3, 5, 523, 131617 List the prime factors of 155664072. 2, 3, 761, 947 List the prime factors of 36403865. 5, 2357, 3089 List the prime factors of 231348341. 7, 29, 421, 2707 List the prime factors of 64182495. 3, 5, 13, 47, 149 What are the prime factors of 32640761? 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88972171 What are the prime factors of 87039498? 2, 3, 7, 13, 23, 29, 239 List the prime factors of 112043447. 17, 41, 160751 List the prime factors of 3651103110. 2, 3, 5, 5653, 21529 List the prime factors of 2110719172. 2, 127, 4154959 What are the prime factors of 2204120786? 2, 7, 157437199 List the prime factors of 26022036. 2, 3, 17, 199, 641 List the prime factors of 1828193502. 2, 3, 23, 13247779 What are the prime factors of 570583584? 2, 3, 29, 53, 1289 What are the prime factors of 54685779? 3, 18228593 What are the prime factors of 57228863? 57228863 List the prime factors of 62660147. 11, 17, 335081 What are the prime factors of 152560097? 29, 5260693 List the prime factors of 1549167042. 2, 3, 41, 157, 40111 What are the prime factors of 282162597? 3, 19, 23, 137, 1571 List the prime factors of 24042108. 2, 3, 2003509 What are the prime factors of 46073333? 149, 373, 829 List the prime factors of 802105572. 2, 3, 47, 30259 List the prime factors of 3347404925. 5, 4513, 29669 List the prime factors of 1354661653. 31, 59, 593, 1249 What are the prime factors of 232027899? 3, 77342633 What are the prime factors of 113966692? 2, 7, 269, 15131 What are the prime factors of 328305906? 2, 3, 113, 173, 311 What are the prime factors of 86675669? 86675669 What are the prime factors of 179664397? 11, 16333127 What are the prime factors of 215674532? 2, 181, 297893 List the prime factors of 312894686. 2, 13, 401, 30011 List the prime factors of 602107337. 13, 46315949 List the prime factors of 33384834. 2, 3, 7, 264959 List the prime factors of 7017184095. 3, 5, 17, 3023, 9103 What are the prime factors of 4081255? 5, 816251 What are the prime factors of 831836239? 13, 23, 2782061 List the prime factors of 37053016. 2, 7, 11, 13, 661 What are the prime factors of 213683265? 3, 5, 397, 443 List the prime factors of 878526186. 2, 3, 146421031 List the prime factors of 11124390. 2, 3, 5, 370813 What are the prime factors of 2969854072? 2, 283, 1311773 List the prime factors of 9375831. 3, 115751 What are the prime factors of 768962159? 7, 47, 2337271 List the prime factors of 158602915. 5, 59, 537637 List the prime factors of 3721081. 7, 13, 103, 397 What are the prime factors of 299325601? 19, 89, 177011 What are the prime factors of 130387408? 2, 37, 257, 857 List the prime factors of 1694091. 3, 7, 80671 List the prime factors of 83376208. 2, 53, 98321 List the prime factors of 18773909. 7, 11, 61, 571 What are the prime factors of 311927304? 2, 3, 13, 173, 5779 What are the prime factors of 64114411? 64114411 What are the prime factors of 9126175? 5, 19, 19213 List the prime factors of 3342759515. 5, 668551903 What are the prime factors of 787265622? 2, 3, 11, 13, 269, 379 What are the prime factors of 283224657? 3, 1063, 88813 What are the prime factors of 671516? 2, 167879 List the prime factors of 162022462. 2, 7, 19, 609107 List the prime factors of 113259662. 2, 317, 178643 What are the prime factors of 245282776? 2, 30660347 What are the prime factors of 2908824411? 3, 969608137 List the prime factors of 2111347452. 2, 3, 281, 293, 2137 List the prime factors of 574402555. 5, 157, 199, 3677 List the prime factors of 49565297. 149, 151, 2203 What are the prime factors of 7393554175? 5, 7, 1453, 29077 What are the prime factors of 219716947? 157, 1399471 What are the prime factors of 96493831? 7, 313, 44041 List the prime factors of 124265274. 2, 3, 7, 17, 23, 47 What are the prime factors of 56649692? 2, 11, 239, 5387 What are the prime factors of 76046112? 2, 3, 71, 3719 What are the prime factors of 7791433379? 19, 23, 17829367 List the prime factors of 743210032. 2, 191, 243197 List the prime factors of 3682745038. 2, 7, 269, 2851 List the prime factors of 2838677262. 2, 3, 473112877 List the prime factors of 101324464. 2, 2269, 2791 List the prime factors of 37047532. 2, 307, 30169 List the prime factors of 72852482. 2, 37, 193, 5101 List the prime factors of 3247885169. 107, 199, 152533 What are the prime factors of 2083365082? 2, 139, 7494119 List the prime factors of 36916802. 2, 13, 1419877 List the prime factors of 60535575. 3, 5, 89, 3023 What are the prime factors of 66752873? 11, 6068443 What are the prime factors of 189989747? 189989747 What are the prime factors of 2372146999? 2372146999 List the prime factors of 140063444. 2, 35015861 List the prime factors of 2188736954. 2, 73, 14991349 List the prime factors of 313266233. 7, 23, 47, 41399 List the prime factors of 889750030. 2, 5, 13, 6844231 What are the prime factors of 2698345? 5, 13, 41513 List the prime factors of 3991358284. 2, 461, 2164511 What are the prime factors of 15252474? 2, 3, 73, 97, 359 List the prime factors of 137991427. 7, 509, 38729 List the prime factors of 431890269. 3, 41, 53, 97, 683 What are the prime factors of 2471725036? 2, 11, 56175569 What are the prime factors of 188530220? 2, 5, 31, 304081 What are the prime factors of 886936154? 2, 13, 47, 725807 What are the prime factors of 3825416129? 19, 29, 6942679 List the prime factors of 1473923199. 3, 7, 101, 694919 List the prime factors of 2949926143. 1223, 2412041 What are the prime factors of 5914953755? 5, 37, 61, 227, 2309 List the prime factors of 196142529. 3, 11, 19, 83, 3769 What are the prime factors of 3636660290? 2, 5, 59, 1783, 3457 List the prime factors of 209423012. 2, 5623, 9311 List the prime factors of 576866797. 13, 17, 200789 List the prime factors of 190621305. 3, 5, 7, 605147 List the prime factors of 24282398. 2, 7, 97, 17881 List the prime factors of 1158200054. 2, 11, 113, 173, 2693 What are the prime factors of 401294433? 3, 173, 773207 List the prime factors of 5678600762. 2, 2839300381 List the prime factors of 4154026445. 5, 37, 22454197 List the prime factors of 105719219. 105719219 What are the prime factors of 368490769? 19, 31, 625621 What are the prime factors of 1083009758? 2, 37, 223, 65629 List the prime factor
{ "pile_set_name": "DM Mathematics" }
st common divisor of o and z? 15 Suppose o + 483 = 4*k, 2*k - 4*o - o = 255. What is the greatest common factor of 24 and k? 24 Let q be (80 + 0)*(-3)/(-6). Calculate the highest common divisor of 16 and q. 8 Suppose 0 = 7*l + 18 - 53. Calculate the highest common divisor of l and 1. 1 Suppose -3*r - 15 = 0, 6*r + 281 = 4*m + r. Suppose 3 = 2*h - x - 23, 0 = -4*h + 5*x + m. What is the highest common factor of 11 and h? 11 Let o = -19 + 27. Suppose z = -3*z + s - 156, 0 = 2*z - 3*s + 68. Let v be z*(1 - 6/4). What is the highest common divisor of v and o? 4 Suppose -4*m + 4*x + 462 = -262, 3*m - 535 = -5*x. What is the highest common divisor of m and 45? 45 Suppose -n - 3 = -1. Let h be -2 + n/(2/1). Let f be (-23*6)/h - -2. What is the highest common divisor of 12 and f? 12 Suppose 2*l = 5*l - 3. Let y be 3 - (l - (2 + -1)). Suppose o = 12 - y. Calculate the greatest common divisor of 3 and o. 3 Let l = -20 + 34. Calculate the greatest common factor of 112 and l. 14 Let j be (-57)/6 + (-2)/(-4). Let c be (-159)/j - 3/(-9). What is the greatest common divisor of c and 45? 9 Let s(n) = 4*n + 3. Let f be s(5). What is the greatest common factor of f and 115? 23 Let t(m) = -4*m**2 + 5*m - 3. Let c be t(3). Let k be (c/20)/((-9)/240). Let z(x) = -x + 8. Let v be z(-8). Calculate the greatest common factor of v and k. 16 Let l(f) = f - 5. Let v be l(-7). Let j be (-3)/2*-2 - v. Calculate the highest common factor of 15 and j. 15 Let i be (22/(-8))/(-1)*44. Let s = 3 - 1. Suppose -s*k + 8 + 14 = 0. Calculate the highest common divisor of k and i. 11 Let m be (-1)/(22/84 - 10/35). Let h = 5 - 0. Suppose -h*c - 18 + 123 = 0. Calculate the highest common factor of m and c. 21 Suppose -2*v + 12 = 2*v. Suppose 0 = q + 2*j, 4*q + 2*j = -j + 20. Let r = 4 + q. What is the greatest common divisor of v and r? 3 Suppose 5*g - 2*a - 20 = 0, -3*g = g - 5*a + 1. Suppose -3*j - 10 = -j. Let r(q) = -14*q - 4. Let n be r(j). What is the highest common factor of g and n? 6 Let m = 24 - 15. Let b = 73 - 67. What is the highest common factor of b and m? 3 Let t(p) = -47*p - 27. Let w(f) = -23*f - 13. Let i(c) = -6*t(c) + 13*w(c). Let n be i(-6). What is the greatest common factor of 19 and n? 19 Let d = -24 - -36. Suppose -202 + 962 = 4*h. Let u = h - 82. What is the highest common factor of d and u? 12 Let t be -1 + 6 + 1 - -2. Suppose 48 = -h + 4*h. What is the highest common factor of h and t? 8 Suppose -4*m - 2 + 14 = 0. Suppose 0 = -2*f - 4*k + 4, -m*f + k + 2*k = 3. Let s be 1/((-1 - f) + 2). Calculate the highest common divisor of s and 3. 1 Let s = 41 + -22. What is the greatest common divisor of 19 and s? 19 Suppose r + 3*g - 5*g = 15, 32 = 2*r - 2*g. Suppose -w = v - 73, 0 = 5*w - 23 - 2. Calculate the greatest common factor of v and r. 17 Let u be 2/(2 + (-9)/6). What is the greatest common divisor of u and 12? 4 Let d(u) = u**2 - 7*u - 12. Let p be d(9). Suppose p*g - 10 = g. Suppose -g = -2*v - 10, m - 72 = 4*v. Calculate the highest common divisor of m and 7. 7 Let f be (4 + -1)/(18/24). Calculate the highest common divisor of f and 20. 4 Let u = -9 + 14. Let p = 86 + -46. Calculate the greatest common factor of p and u. 5 Suppose -2*g + 3*c + 76 = -g, -4*c = 8. Suppose 0 = h - 36 + 6. Let m be ((-4)/12)/((-1)/h). What is the highest common divisor of m and g? 10 Let j be (182/5 + -2)*5. Suppose 5*u - 233 = j. What is the greatest common divisor of 9 and u? 9 Let n(s) = s**3 + 6*s**2 - 9*s - 4. Let o be n(-7). Let z be (-125)/(-2)*(-4)/(-5). Calculate the greatest common factor of z and o. 10 Let r(o) = -15*o**2 - 12*o - 7. Let l(f) = -5*f**2 - 4*f - 2. Let q(n) = 11*l(n) - 4*r(n). Let j be q(-4). Calculate the highest common factor of 14 and j. 14 Suppose 9*s - 707 - 22 = 0. Calculate the greatest common divisor of 54 and s. 27 Let t be 2/3 + 118/3. Let c be 114/14 - 1/7. Suppose 4*u = t + c. What is the highest common factor of u and 4? 4 Suppose 0 = 2*y - y - 11. Suppose -x - x = 2*k, x - 12 = 5*k. Suppose x*a - 88 = -0*a. Calculate the highest common factor of y and a. 11 Suppose -r + 15 = 2*r - 5*j, r + 3*j = 5. What is the greatest common divisor of 1 and r? 1 Let k(v) = -v**3 - 8*v**2 + 9. Let x be k(-8). Calculate the highest common factor of 9 and x. 9 Let l(v) = -v**3 + 9*v**2 + 4. Let k be l(9). Suppose -3*d - 4*u = -7*d + 64, k*d + 3*u = 29. Let m = 79 + -2. What is the highest common factor of m and d? 11 Suppose 5*f - 28 = 3*y - 5*y, 0 = -2*y - f + 28. Let a = -37 - -79. What is the greatest common divisor of a and y? 14 Suppose 22 = 4*z + 6. Let s = 2 - -2. Calculate the highest common factor of z and s. 4 Suppose 5 - 25 = -j. Let k = j + 36. Calculate the greatest common divisor of k and 8. 8 Suppose -n + 5*n - 8 = 0. Suppose -3*z = 4*l - 67, 0 = -l + n*l + 2. Let p = 88 - z. What is the greatest common factor of p and 7? 7 Suppose 0 = 8*v + 9 - 89. What is the greatest common factor of v and 10? 10 Suppose -4*z = -3*z - 4. What is the highest common divisor of z and 16? 4 Suppose 2*q + 0*q - 38 = 0. Suppose 0 = -s + q + 3. Suppose -3*g + 4*g - 55 = 0. What is the highest common divisor of g and s? 11 Let h(s) = 3*s**2 - 1. Let j be h(3). Let g = -16 + j. What is the highest common factor of g and 10? 10 Let v = -18 - -31. Calculate the highest common factor of v and 13. 13 Let y = 4 - 11. Let j(k) = k**3 + 9*k**2 - 6*k - 8. Let b be j(y). Calculate the highest common factor of b and 22. 22 Suppose 0 = -3*l - 15 + 66. Calculate the highest common factor of 187 and l. 17 Let h(s) = -s + 10. Let y be h(8). Suppose 2*c = -y*c + 84. What is the highest common factor of 3 and c? 3 Let g(n) = n**2 + 2*n + 4. Let v be g(-5). Calculate the greatest common divisor of v and 209. 19 Suppose -9*d = -14*d + 125. Calculate the greatest common divisor of 150 and d. 25 Let g be 1872/10 - (-1)/(-5). What is the highest common divisor of g and 17? 17 Let i = -10 - 28. Let k be i/(-10) - 1/(-5). Let l = -18 + 42. What is the highest common divisor of l and k? 4 Suppose -168 = 2*f - 5*f. What is the highest common divisor of 14 and f? 14 Suppose -3*a + 8*a - 20 = 0, -4*a + 130 = o. Suppose -115 = -5*s + 5*t, 3*s = 5*t - 43 + o. Calculate the highest common divisor of s and 11. 11 Let n(a) = -10*a - 47. Let y be n(-8). Calculate the highest common divisor of y and 6. 3 Let i be (-2 + 13/(-2))*(-19 - -1). Let h be 17/(-2)*(-2 - 0). Calculate the greatest common divisor of i and h. 17 Let m = 2 - -29. What is the highest common divisor of m and 217? 31 Suppose 0 = 3*a + x - 8 - 59, -2*a + 3*x = -63. Let o = 102 - 30. Calculate the greatest common factor of a and o. 24 Let q = 122 - 91. Let p(l) = l**3 - l**2 + l + 31. Let b be p(0). What is the greatest common factor of b and q? 31 Let r = -81 + 121. Suppose 0*w = w. Suppose w = -4*o + r - 0. What is the highest common divisor of 30 and o? 10 Let d(h) = h**3 + h**2 + 3*h**2 - 7 + 9 + 0*h**2. Let b be d(-4). Calculate the highest common factor of 4 and b. 2 Let p = -50 - -104. Suppose 3*r - 128 = 196. Suppose z = -2*z + r. Calculate the greatest common divisor of z and p. 18 Let d = 186 + 78. Calculate the greatest common divisor of 24 and d. 24 Let g = 338 + -217. Calculate the greatest common factor of 11 and g. 11 Suppose 5*u = -0*u + 20. Suppose u = g + g. What is the highest common divisor of g and 2? 2 Let b(s) = s**2 + 11*s + 13. Let d be b(-9). Let z(a) = -a**2 - 6*a + 2. Let n be z(d). What is the greatest common factor of 7 and n? 7 Suppose 0 = 3*b + 17*b - 360. Suppose 0 = -2*o + 3*o - 9. What is the greatest common factor of b and o? 9 Suppose 799 = 4*c - 225. What is the highest common divisor of 32 and c? 32 Let f be 10/4*36/45. Suppose -n + 22 = x + 4*n, 0 = 3*x + 5*n - 26. Suppose x*q = -4 + 6. What is the greatest common factor of q and f? 1 Let a(q) = 32*q - 3. Let v be a(-5). Let n be 70/8*440/11. Let x = n + v. What is the greatest common factor of 17 and x? 17 Let g(u) = 2*u - 7. Let j(y) = -10*y + 36. Let b(f) = 11*g(f) + 2*j(f). Let h be b(11). Calculate the greatest common divisor of 119 and h. 17 Let h be 3/9 + ((-164)/(-12) - 3). Let y be 197/2 + (-1)/(-2). Calculate the greatest common factor of h and y. 11 Suppose 2*i - 110 = -i - 5*r, -4*i = -r - 139. Let w be (-6 + -1)/(2/(-2))
{ "pile_set_name": "DM Mathematics" }
te s(42). -64 Let o(g) = -g + 22. Determine o(3). 19 Let z(n) = 3*n + 42. Give z(-2). 36 Let t(x) = -x**3 + 10*x**2 + 18*x + 29. Determine t(14). -503 Let c(y) = 15*y + 43. What is c(25)? 418 Let k(b) = b**2 + 13*b + 3. Determine k(-11). -19 Let x(q) = -2*q**2 - 47*q + 3209. Give x(30). -1 Let g(r) = -r**2 + 339*r + 3109. Calculate g(-9). -23 Let a(t) = 13*t**2 + 29*t - 24. Give a(-3). 6 Let t(n) = -2*n**3 - 23*n**2 - 67*n - 11. Give t(-5). -1 Let r(h) = 847*h + 3114. Give r(-4). -274 Let j(i) = 2*i**3 - 98*i**2 + 16*i - 268. Give j(49). 516 Let a(d) = d**3 + 16*d**2 - 165*d - 45. Determine a(-23). 47 Let v(j) = 882*j**2 - 4415*j + 18. What is v(5)? -7 Let k(i) = -63*i - 466. Determine k(-7). -25 Let p(g) = 71*g - 1680. What is p(24)? 24 Let x(o) = o**3 - 8*o**2 - 383*o + 10. Give x(-16). -6 Let p(u) = u**3 - 57*u**2 - 375*u - 107. Determine p(63). 82 Let u(j) = -122*j - 14392. What is u(-118)? 4 Let x(m) = m**3 + 10*m**2 - 34*m - 12. Give x(-12). 108 Let p(f) = 2*f**3 - 35*f**2 + 11*f - 512. Give p(18). 10 Let u(v) = -9*v**2 + 310*v - 152. Give u(34). -16 Let s(u) = 50*u**2 - 3748*u - 149. Give s(75). 1 Let r(a) = 51*a - 47. Give r(-7). -404 Let y(b) = b**3 + 19*b**2 + 89*b - 7. Give y(-10). 3 Let b(q) = -q**3 - 33*q**2 + 57*q + 761. Determine b(-34). -21 Let v(y) = 626*y - 12519. Calculate v(20). 1 Let s(z) = -16*z**2 - 173*z + 28. Calculate s(-11). -5 Let m(b) = -1664*b + 9975. Calculate m(6). -9 Let m(a) = 50*a - 474. Give m(10). 26 Let r(c) = -149*c + 1334. What is r(9)? -7 Let r(c) = -660*c + 7263. What is r(11)? 3 Let b(f) = f**3 - 10*f**2 + 36*f - 480. Calculate b(12). 240 Let r(b) = b**3 + 15*b**2 + 30*b - 22. Determine r(-11). 132 Let n(m) = -m**2 + 11*m + 639. What is n(31)? 19 Let s(j) = 8*j**2 + 82*j + 93. Give s(-9). 3 Let f(u) = u**3 - 17*u**2 + 97*u - 1322. Give f(16). -26 Let r(s) = -65*s - 8. What is r(1)? -73 Let d(o) = -8*o**2 + o - 1. Calculate d(3). -70 Let m(r) = -r**3 - 12*r**2 - 36*r - 15. Determine m(-8). 17 Let c(x) = 6*x**3 - x**2 + 67*x - 200. What is c(3)? 154 Let n(t) = -232*t + 1552. Calculate n(7). -72 Let k(n) = 4*n**2 - 138*n - 1544. Give k(-10). 236 Let r(n) = n**3 - 33*n**2 + 83*n + 225. Give r(30). 15 Let n(d) = 175*d - 1090. Determine n(6). -40 Let z(t) = t + 807. Give z(-60). 747 Let k(f) = -298*f + 11507. Give k(39). -115 Let c(p) = 208*p - 35. Determine c(-1). -243 Let g(y) = 2*y**2 - 195*y + 3150. Determine g(77). -7 Let b(k) = k**3 + 29*k**2 - k - 50. Calculate b(-29). -21 Let m(t) = -3*t**2 + 30*t + 143. Give m(-6). -145 Let b(n) = -n**3 - 41*n**2 - 32*n - 535. Determine b(-40). -855 Let h(j) = 7*j**3 + 78*j**2 + 18*j - 13. Calculate h(-11). -90 Let c(v) = -219*v - 901. Give c(-4). -25 Let v(i) = 6*i**2 + 44*i + 1. Determine v(-7). -13 Let n(r) = -1423*r + 68330. Give n(48). 26 Let k(b) = 2*b**3 - 8*b**2 + 8*b - 12. Give k(4). 20 Let o(j) = j**3 + 89*j**2 + 1476*j + 126. Calculate o(-67). -8 Let b(o) = 90*o**2 - 275*o - 1. Determine b(3). -16 Let w(d) = 165*d + 1414. Give w(-9). -71 Let h(d) = -5*d + 194. What is h(19)? 99 Let n(g) = -g**2 - 250*g - 2426. Determine n(-10). -26 Let s(p) = -7*p**2 + 27*p - 4. What is s(7)? -158 Let f(j) = 340*j - 2722. Determine f(7). -342 Let c(k) = -3*k**3 - 34*k**2 - 17*k - 44. Determine c(-11). 22 Let m(x) = -2*x**2 + 256*x - 254. Calculate m(127). 0 Let t(b) = b**3 + 19*b**2 + 22*b - 26. Determine t(-18). -98 Let s(j) = -35*j + 192. What is s(5)? 17 Let y(n) = -36*n**2 - 247*n - 490. What is y(-2)? -140 Let c(i) = -i**2 - 30*i + 454. Give c(-43). -105 Let o(j) = -45*j**2 - 2439*j - 452. Give o(-54). 34 Let j(q) = q**2 + 15*q + 56. Determine j(-8). 0 Let i(b) = 2*b**3 + 55*b**2 - 25*b + 88. Calculate i(-28). 4 Let b(q) = -q**3 - 34*q**2 + 337*q + 161. Calculate b(-42). 119 Let k(h) = -45*h**3 + 630*h**2 - h + 23. Determine k(14). 9 Let o(t) = 10*t + 40. Give o(-6). -20 Let u(s) = -s**2 - 167*s + 12012. Calculate u(54). 78 Let k(h) = -h**3 + 12*h**2 + 53*h - 140. Give k(15). -20 Let u(i) = 128*i + 650. Determine u(-5). 10 Let v(c) = -c**3 + 4*c**2 + 13*c - 10. Determine v(5). 30 Let k(u) = 31*u**2 + 98*u + 315. What is k(-3)? 300 Let r(z) = 6*z**3 - 4*z**2 + 17*z + 21. What is r(-1)? -6 Let n(i) = 99*i - 47. Give n(3). 250 Let d(g) = -g**3 - 5*g**2 + 12*g - 20. Give d(0). -20 Let k(s) = -s**3 + 69*s**2 + 532*s - 65. Calculate k(76). -65 Let p(g) = -172*g - 703. Give p(-4). -15 Let r(i) = -i**2 - 13*i - 66. What is r(-8)? -26 Let j(q) = 1066*q + 34110. Determine j(-32). -2 Let f(d) = -57*d**3 - 13*d**2 + 38*d - 13. Determine f(2). -445 Let o(u) = 62*u - 354. What is o(7)? 80 Let k(b) = -b**2 + b + 783. Give k(27). 81 Let k(x) = x**3 - 13*x**2 - 18*x + 44. Calculate k(14). -12 Let n(u) = -14*u + 180. Give n(6). 96 Let i(l) = 4*l**3 - 29*l**2 + 12*l - 31. What is i(7)? 4 Let s(x) = x**2 - 7*x - 613. Give s(28). -25 Let q(x) = -x**3 - 26*x**2 - 65*x + 34. Give q(-23). -58 Let y(i) = -8*i + 54. Give y(2). 38 Let c(l) = -39*l + 3822. Give c(98). 0 Let n(g) = 63*g**3 + 52*g**2 + 52*g - 1. What is n(-1)? -64 Let h(m) = m**2 + 105*m + 100. What is h(-1)? -4 Let t(a) = 121*a**2 - 25286*a - 633. Give t(209). -6 Let q(g) = -20*g - 1396. Calculate q(-59). -216 Let j(o) = -o**3 - 64*o**2 + 137*o + 344. What is j(-66)? 14 Let s(n) = -n**2 - 69*n - 883. Calculate s(-52). 1 Let z(x) = x**3 + 24*x**2 + 29*x + 136. Give z(-12). 1516 Let t(o) = -2*o**3 - 40*o**2 - 201*o - 114. What is t(-12)? -6 Let m(c) = -139*c - 1289. Calculate m(-9). -38 Let g(y) = -96*y - 3452. Give g(-36). 4 Let y(l) = l**3 + 19*l**2 + 103*l + 212. Calculate y(-6). 62 Let d(h) = 5*h**3 + 3*h**2 + 5*h + 15. Give d(-2). -23 Let b(x) = 83*x + 487. Determine b(-6). -11 Let s(h) = -29*h - 167. Determine s(-12). 181 Let q(r) = -2*r**2 + 51*r - 319. Give q(10). -9 Let b(y) = -20*y + 459. Determine b(22). 19 Let j(z) = -5*z**2 - 398*z - 1025. Determine j(-77). -24 Let l(j) = 604*j - 44095. Calculate l(73). -3 Let m(d) = -7*d**2 - 268*d - 2516. Determine m(-22). -8 Let q(g) = 8*g**2 - 316*g + 44. Calculate q(40). 204 Let l(d) = d**2 - 92*d - 2546. What is l(-22)? -38 Let z(g) = -g**3 + 24*g**2 - 15*g + 339. Give z(24). -21 Let j(s) = 2*s**2 - 19*s - 115. Give j(-6). 71 Let f(m) = 5*m + 103. Determine f(-9). 58 Let k(m) = -8*m + 291. Determine k(-10). 371 Let d(i) = -i**3 + i**2 + 205*i + 70. Determine d(0). 70 Let q(g) = -38*g**2 - 290*g + 586. What is q(2)? -146 Let b(k) = 5*k**2 - 126*k - 124. What is b(-1)? 7 Let b(v) = -2*v**2 + 136*v - 94. Calculate b(67). 40 Let t(w) = -15*w + 200. Calculate t(11). 35 Let j(b) = -b**3 + 15*b**2 + 5*b - 39. Calculate j(16). -215 Let h(o) = 28*o**2 - 20*o. Calculate h(3). 192 Let h(f) = -f**2 + 11*f - 7. What is h(4)? 21 Let x(g) = -10*g**2 + 70*g + 6. Give x(7). 6 Let g(y) = 125*y + 52. Give g(-1). -73 Let t(r) = -4*r**2 + 101*r + 44. What is t(25)? 69 Let q(w) = 60*w + 52. Calculate q(3). 232 Let u(o) = -o**2 + 56*o + 281. What is u(52)? 489 Let x(l) = 2*l**3 + 101*l**2 + 53*l + 113. Give x(-50). -37 Let j(g) = -2*g**3 - 7*g**2 - 13*g - 58. Calculate j(-4). 10 Let z(f) = -f**3 - 5*f**2 + 10*f - 24. Determine z(-7). 4 Let a(w) = 6*w + 132. Determine a(-38). -96 Let r(x) = 12*x**2 + 25*x + 8. Give r(-2). 6 Let s(n) = n**3 + 2*n**2 - 10*n - 11. What is s(-2)? 9 Let v(k) = 130*k - 2647. Give v(21). 83 Let y(u) = 4*u - 58. What is y(5)? -38 Let h(i) = -1846*i - 38769. Give h(-21). -3 Let l(k) = -k**2 + 26*k - 28. What is l(1)? -3 Let h(r) = -r**2 + 57*r - 525. Determine h(46). -19 Let n(p) = p**3 + 42*p**2 - 17*p - 724. What is n(-42)? -10 Let v(f) = -54*f - 3164. What is v(-62)? 184 Let k(j) = 75*j - 361. Determine k(13). 614 Let m(k) = -k**2 - 469*k - 38989. What is m(-361)? -1 Let a(p) = -6*p - 188. Determine a(-9). -134 Let x(w) = 1737*w - 97271. Give x(56). 1 Let t(u) = 17*u**3 - 95*u**2 + 56*u - 36. Calculate t(5). -6 Let t(a) = 6*a - 39. Determine t(5). -9 Let y(d) = -26*d**3 + 16*d**2 + 24*d + 2. Determine y(-2). 226 Let n(p) = 4*p**2 + 152*p + 103. Calculate n(-38). 103 Let m(k) = 73*k + 494. Calculate m(-7). -17 Let p(d) = -33*d**3 + d**2 - d. Give p(1). -33 Let i(d) = -d**2 + 41*d - 99. Determine i(42). -141 Let t(m) = -m**3 - 34*m**2 + 238*m - 111. Calculate t(-40). -31 Let f(k) = 2*k**2 - 79*k - 1013. Determine f(-10). -23 Let r(m) = 4*m**3 + 7*m**2 - 5*m + 17. What is
{ "pile_set_name": "DM Mathematics" }
third derivative of t(b). Give d(h(w)). -50*w Let z(y) = -40382 + 40382 + 10*y**2. Let h(i) = 3*i - 4*i + 3*i. Determine z(h(j)). 40*j**2 Let v(o) = -o**2 - 22*o + 7. Let b(y) = -108*y**2 + 2. What is v(b(r))? -11664*r**4 + 2808*r**2 - 41 Let l(x) = 4*x**2. Let w(j) = -21*j + 68*j + 97 + 19*j - 97. Give w(l(r)). 264*r**2 Let i(z) = 32*z**2 - 4. Let n(c) = 9*c. Give n(i(x)). 288*x**2 - 36 Let i(l) = -2*l**2. Let b be 16/7 + 4/(-14). Let k(h) = 0 + 12*h**b - 17*h**2 + 0. What is i(k(a))? -50*a**4 Let r(a) = -a + 284. Let t(w) = 3*w - 52. Give r(t(y)). -3*y + 336 Let s(t) = -t**2. Let i(k) = 12398*k**2. What is s(i(d))? -153710404*d**4 Let m(p) = -6*p**2 + 10*p - 84. Let o(n) = -7*n**2 + 12*n - 84. Let i(s) = 6*m(s) - 5*o(s). Let l(f) = -2*f. Calculate l(i(k)). 2*k**2 + 168 Let z(d) = 42*d - 23*d - 13*d**2 + 2*d**2 - 19*d. Let n(g) = -27 + 3*g**2 + 27. Calculate z(n(h)). -99*h**4 Let z(w) = 4*w**2 - 4*w**2 + 5*w**2 - 4*w**2. Let o(k) = 56*k**2 + 1. Calculate o(z(n)). 56*n**4 + 1 Let o(r) = -r. Let y(h) = -345427*h**2. Give y(o(z)). -345427*z**2 Let r(f) = 4*f. Let p(q) = -3*q**2 + 3*q. Let s be p(2). Let y be (2 + -3)/(3/s). Let l(t) = 0*t**2 + 2*t**2 - 5*t**y. Calculate l(r(m)). -48*m**2 Suppose -9*s + 10 = -4*s. Let x(j) = -j**2 + 7*j**2 + 3*j**s. Let b(y) = -y. Calculate b(x(v)). -9*v**2 Let j(k) = -114*k**2. Let c(p) = 1779*p**2. Calculate c(j(o)). 23119884*o**4 Let u(v) = -4*v**2. Let d(f) = -15*f. Let k(m) = 31*m. Let t be (2 + -3)/((-1)/(-5)). Let g(y) = t*d(y) - 2*k(y). What is u(g(l))? -676*l**2 Let x(m) = 203761*m + 7*m**2 - 203761*m. Let v(j) = 7*j**2 + 6*j + 6. Let l(n) = 105*n**2 + 91*n + 91. Let d(y) = 6*l(y) - 91*v(y). Give x(d(u)). 343*u**4 Let p(z) = z. Let c(n) = 8*n**2. Let q(k) = -k**2. Let b(u) = c(u) + 6*q(u). Calculate b(p(h)). 2*h**2 Let y(t) = -4*t. Let i(f) = 53*f + 58*f + 51*f - 163*f. Give y(i(r)). 4*r Let r(x) = -10*x**2 - 3*x + 3. Let b(g) = 0*g + 8*g - 4 + 11*g**2 - 4*g. Let m(w) = -3*b(w) - 4*r(w). Let q(i) = -i. What is q(m(a))? -7*a**2 Let f(z) = -z**2. Let u(p) = 13651*p**2. Calculate f(u(i)). -186349801*i**4 Let y(z) = -2*z**2. Let v(o) be the third derivative of -1/5*o**5 + 0*o**4 - 18*o**2 + 0 + 0*o**3 + 0*o. What is v(y(c))? -48*c**4 Let w(g) be the second derivative of 0*g**3 + 0 - 1/12*g**4 + 0*g**2 - 8*g. Let z(p) = 10*p. Let m(s) = -3*s. Let y(t) = -14*m(t) - 4*z(t). What is w(y(h))? -4*h**2 Let k(y) = -586*y**2. Let d(h) be the first derivative of 2*h**3/3 - 224. Give d(k(g)). 686792*g**4 Let l(f) = -f**2. Suppose 2*h = 2*k, 4*h + 3*k - 2*k = 0. Suppose -w + 2*w = h. Let n(s) = w - 3*s + 0. Give n(l(r)). 3*r**2 Let a(p) be the first derivative of p**3/3 + 26. Let j(k) = 49*k. What is a(j(i))? 2401*i**2 Let l(u) = 5*u**2 - 2*u. Let g(t) be the first derivative of 0*t**2 + 0*t - 34 - 2/3*t**3. What is l(g(d))? 20*d**4 + 4*d**2 Let k(m) = 96*m**2. Let q(v) = 17*v**2 - 18*v. Let b(h) = 4*h**2 - 4*h. Let o(u) = 9*b(u) - 2*q(u). Calculate k(o(p)). 384*p**4 Let j(b) = 7*b. Let v(s) = 481*s**2 - 65*s + 130. Let h(n) = 15*n**2 - 2*n + 4. Let x(o) = 65*h(o) - 2*v(o). What is x(j(w))? 637*w**2 Let s(f) be the third derivative of -f**5/30 - f**2. Let c(w) = -10*w**2 + 8984*w - 8984*w. What is c(s(j))? -40*j**4 Let r(k) = 2*k**2. Let g(c) = -5165*c**2. Give g(r(i)). -20660*i**4 Let z(f) be the second derivative of f**3/2 - 2*f + 175. Let v(d) = 117*d**2. Calculate z(v(b)). 351*b**2 Let z(u) = 4*u. Let r(v) = -149*v - 4. Let c(w) = -298*w - 10. Let a(g) = -2*c(g) + 5*r(g). Determine z(a(d)). -596*d Let c(a) = -32*a - 240. Let x(l) = -l - 5. Let p(t) = c(t) - 48*x(t). Let i(w) = 2*w**2. Calculate i(p(o)). 512*o**2 Let s(w) = 4*w. Let o(u) = u. Let b(a) = 8*o(a) - 3*s(a). Let d(x) = 2*x**2 - 2*x + 1. Let q(k) = 8*k**2 - 12*k + 6. Let j(m) = -6*d(m) + q(m). What is j(b(n))? -64*n**2 Let a(s) = 63*s - 157*s + 91*s. Let h(l) = -73*l. Determine h(a(b)). 219*b Let y(j) = 8*j**2. Let a(z) be the second derivative of 25*z**3/6 + z - 4. What is a(y(i))? 200*i**2 Let z(d) = -3*d**2 - d. Let u(w) = 67*w - 13*w - 18*w - 17*w - 23*w. Determine z(u(r)). -48*r**2 + 4*r Let j(r) be the third derivative of -r**4/24 + 256*r**2. Let z(m) = -92*m. Determine z(j(w)). 92*w Let g(x) = -2*x**2. Let u(c) = 6*c + 2. Let p(a) = 60*a + 21. Let d = -39 - 3. Let f(i) = d*u(i) + 4*p(i). Determine f(g(z)). 24*z**2 Let n(s) be the third derivative of -s**4/12 + 2*s**2 + 14. Let z(f) = f**2. What is n(z(v))? -2*v**2 Let v(d) be the first derivative of 2*d**3 - 3*d**3 - 6 + 4. Let b(y) = -3*y**2 + 3. Let a(w) = 6*w**2 - 5. Let q(f) = 3*a(f) + 5*b(f). Determine v(q(i)). -27*i**4 Let r(s) = 273*s**2 - 551*s**2 + 275*s**2. Let j(l) = -3*l**2 - 4. What is r(j(i))? -27*i**4 - 72*i**2 - 48 Let q(u) = -7*u**2 - 4. Let b(k) = -116*k**2. Calculate b(q(y)). -5684*y**4 - 6496*y**2 - 1856 Let q(g) = 4*g**2. Let a(k) = -70*k. Let c(j) = -14*j. Let b(t) = 2*a(t) - 11*c(t). Calculate q(b(o)). 784*o**2 Let y(o) = -2*o**2 - 2*o + 14516. Let m(x) = x. Calculate m(y(z)). -2*z**2 - 2*z + 14516 Let x(s) = -12*s. Let q(i) = 29*i - 65. Determine q(x(v)). -348*v - 65 Let c(o) = 42*o. Suppose 65 = -2*m + 7*m. Let t(z) = 15*z**2 + 13*z - 13. Let k(y) = -7*y**2 - 6*y + 6. Let s(j) = m*k(j) + 6*t(j). Give c(s(l)). -42*l**2 Let g(v) = -2*v**2. Suppose o + 78 = 5*j - 20, -3*o + 6 = 0. Let u = -18 + j. Let y(m) = 2*m**2 + 2*m**2 - 4*m**2 - 2*m**u. What is y(g(z))? -8*z**4 Let m(x) = 7*x**2 - 6. Let n(u) = -18*u**2 - 81 + 98 - 2*u**2. Let w(p) = 17*m(p) + 6*n(p). Let k(d) = 38*d. Calculate k(w(t)). -38*t**2 Let c(v) = -v**2 - 407*v + 1. Let a(f) = -49*f. Calculate a(c(s)). 49*s**2 + 19943*s - 49 Let w(p) = -112*p**2 - 12*p. Let z(n) = -10*n. What is z(w(v))? 1120*v**2 + 120*v Let n(s) = 1894611 - 1894611 - 3*s + 0*s. Let x(f) = -1. Let g(v) = 8*v**2 - 24. Let o(d) = -g(d) + 24*x(d). Determine n(o(c)). 24*c**2 Let b(u) = 243894*u. Let p(i) = 3*i. Calculate p(b(o)). 731682*o Let w(r) = -2*r**2. Let a be 5/((-15)/6) - -5. Suppose -2*o - 5*p - 32 = -3*o, -o - 13 = 4*p. Let f(c) = -c - a*c + o*c - c. Give f(w(g)). -4*g**2 Let u(x) = -5*x**2 + 3*x + 3. Let j(l) = 4 + 10*l - 16*l**2 + 3 + 3. Let y(q) = -3*j(q) + 10*u(q). Let z(p) = -17*p. Give z(y(a)). 34*a**2 Let d(k) be the third derivative of 17*k**5/60 + 4*k**3/3 + 40*k**2 + 2*k. Let f(x) = -2*x**2. What is d(f(r))? 68*r**4 + 8 Let i(w) = 10*w - 472. Let m(y) = 4*y - 195. Let o(c) = 5*i(c) - 12*m(c). Let s(v) = -v - 1 + 1. What is o(s(x))? -2*x - 20 Let a(p) = -9*p. Let u(x) = 113*x + 6. Determine u(a(c)). -1017*c + 6 Let b(v) = -3*v + 12042. Let x(n) = n**2. Calculate b(x(l)). -3*l**2 + 12042 Let t(x) = 657*x**2 + 99. Let n(a) = 41*a**2 + 6. Let f(m) = 66*n(m) - 4*t(m). Let d(w) = -3*w. Calculate d(f(q)). -234*q**2 Let c(x) be the third derivative of x**4/24 + 19*x**2. Let f(j) = -j**2 + 157 - 157. Calculate c(f(o)). -o**2 Let k(o) be the third derivative of o**4/8 + 1811*o**2. Let q(i) = -i + 1. Let b(s) = 16*s - 14. Let u(g) = 4*b(g) + 56*q(g). Give k(u(j)). 24*j Let w(t) = -76*t**2 + 2. Let q(b) = 8045*b. What is w(q(j))? -4918873900*j**2 + 2 Let w(y) = -2*y**2. Let k(t) be the first derivative of 7/2*t**2 + 8 + 0*t. Determine w(k(l)). -98*l**2 Let r(y) = -12*y**2 - 3. Let c(w) = w**2 + 10 - 2*w**2 - w**2 - 10. Calculate c(r(d)). -288*d**4 - 144*d**2 - 18 Let q(y) = -22*y. Let o(h) be the second derivative of 13*h**4/6 - 2*h - 26. Give q(o(t)). -572*t**2 Let j(u) = 20*u**2 + 6. Let t(r) = 3*r**2 + 1. Let c(v) = -j(v) + 6*t(v). Let z(l) = -41*l**2. Give z(c(m)). -164*m**4 Let c(x) = -19*x. Let b(u) = -20*u**2 - 7. Determine c(b(z)). 380*z**2 + 133 Let k(h) = 14*h. Let u(s) = -168*s**2. Calculate u(k(t)). -32928*t**2 Let i(x) = -2 - 2*x + x**2 + 7*x**2 + 0*x - 3*x**2. Let q(f) = 6*f**2 - 3*f - 3. Let v(u) = -3*i(u) + 2*q(u). Let r(m) = -3*m. Give r(v(w)). 9*w**2 Let o(a) = 7*a**2 - 87*a + 3. Let w(t) = -7*t. Determine o(w(y)). 343*y**2 + 609*y + 3 Let l(c) = -182 + 182 + 0*c - 2*c. Let y(d) = 109*d - 34*d - 34*d. Give l(y(x)). -82*x Let n(f) = -4*f**2. Let c be (-24)/(-32)*20/3. Let b(k) = -k + 13*k + c*k. Determine n(b(w)). -1156*w**2 Let u(g) = 76*g**2 - 6. Let a(v) = 3*v**2 - 18. Determine a(u(j)). 17328*j**4 - 2736*j**2 + 90 Let i(l) = -2*l**2 + 1354 - 1354 + 0*l**2. Let t(c) = -19*c**2. Give i(t(u)). -722*u**4 Let z(i) = -5
{ "pile_set_name": "DM Mathematics" }
t is -1a3d (base 14) in base 13? -2221 Convert 1300 (base 6) to base 9. 400 -733 (base 12) to base 5 -13142 32d2 (base 16) to base 13 5bca -6df5 (base 16) to base 13 -ca74 Convert 263d (base 15) to base 6. 101434 Convert -54 (base 8) to base 7. -62 Convert 3230 (base 5) to base 11. 370 What is -2426 (base 7) in base 10? -902 43b (base 12) to base 15 2b8 Convert -692 (base 10) to base 13. -413 -c0a (base 13) to base 14 -a58 What is -24a (base 14) in base 6? -2042 What is -5616 (base 10) in base 13? -2730 -1048 (base 14) to base 8 -5370 What is 1f52 (base 16) in base 13? 385a 420 (base 10) to base 8 644 Convert -24532 (base 6) to base 8. -7110 Convert 1112002 (base 4) to base 16. 1582 Convert 1301220 (base 4) to base 3. 100222100 7363 (base 9) to base 6 41003 Convert -120100221 (base 3) to base 6. -123511 What is 111101001001 (base 2) in base 8? 7511 Convert 2547 (base 9) to base 16. 772 -154030 (base 6) to base 7 -62064 What is -ed6 (base 16) in base 8? -7326 1442 (base 9) to base 6 5015 What is -310201 (base 4) in base 15? -ee1 5956 (base 12) to base 13 4725 What is -1c4 (base 14) in base 10? -368 Convert -1062 (base 10) to base 13. -639 -149d (base 15) to base 6 -32251 Convert -212112121 (base 3) to base 14. -637b 3210 (base 9) to base 3 10020100 What is -15090 (base 11) in base 6? -243015 Convert 121121 (base 5) to base 6. 33000 -410144 (base 5) to base 15 -3d84 What is -352222 (base 6) in base 12? -15672 -389 (base 11) to base 15 -20a 614 (base 14) to base 4 102222 What is -1ad (base 14) in base 7? -1006 What is 10311 (base 5) in base 3? 222011 63 (base 11) to base 13 54 What is 4541 (base 11) in base 3? 22012021 Convert c03 (base 16) to base 9. 4186 295b (base 12) to base 4 1023113 -1011 (base 15) to base 14 -1343 10010011 (base 2) to base 5 1042 What is 354 (base 10) in base 3? 111010 What is a0ba (base 12) in base 10? 17422 Convert 5874 (base 14) to base 11. 10621 What is -33013 (base 5) in base 11? -1773 Convert -e6e (base 15) to base 10. -3254 -1102400 (base 6) to base 15 -11473 What is -687c (base 14) in base 12? -a5ba What is 2101120 (base 5) in base 8? 103347 Convert 2134 (base 5) to base 6. 1210 What is -53335 (base 6) in base 4? -1301123 What is -363 (base 11) in base 14? -22c -33101 (base 7) to base 5 -231112 7372 (base 9) to base 16 1523 -5ab (base 14) to base 4 -101223 -322051 (base 6) to base 8 -63417 10233301 (base 4) to base 13 8b06 What is -14d3c (base 15) in base 11? -46467 Convert -42052 (base 8) to base 10. -17450 What is 10321 (base 6) in base 8? 2611 330 (base 11) to base 9 480 2301 (base 4) to base 10 177 What is 5d (base 16) in base 3? 10110 Convert -2010 (base 7) to base 16. -2b5 What is -2c2 (base 13) in base 3? -200101 Convert 116024 (base 7) to base 8. 51444 Convert 3420402 (base 5) to base 10. 60727 10111010 (base 2) to base 10 186 Convert -3187 (base 11) to base 5. -113314 Convert 264 (base 9) to base 8. 334 Convert -8a6 (base 15) to base 3. -2200110 What is 3c (base 13) in base 4? 303 -1550 (base 10) to base 11 -118a What is -11120021 (base 3) in base 2? -110100000000 What is 33333 (base 5) in base 2? 100100100111 What is 692 (base 12) in base 7? 2561 What is cc (base 16) in base 15? d9 1738 (base 10) to base 14 8c2 What is 1b (base 13) in base 5? 44 202 (base 5) to base 7 103 Convert -23b (base 14) to base 6. -2021 Convert 202021 (base 3) to base 2. 1000100011 What is dd (base 14) in base 5? 1240 What is 1002000120 (base 3) in base 14? 79d2 Convert 10331 (base 6) to base 13. 856 10111101101011 (base 2) to base 4 2331223 Convert -3996 (base 14) to base 5. -311003 162 (base 16) to base 15 189 655 (base 13) to base 2 10000111100 43a (base 11) to base 4 20033 -92 (base 11) to base 6 -245 Convert c1a (base 14) to base 7. 6633 Convert -34324 (base 5) to base 10. -2464 Convert 11100111 (base 2) to base 9. 276 What is -20452 (base 9) in base 13? -61ac 1bd (base 15) to base 6 1511 What is 353 (base 8) in base 14? 12b What is 13a (base 14) in base 16? f8 Convert 2111213 (base 4) to base 10. 9575 Convert -469 (base 10) to base 7. -1240 Convert -59b0 (base 13) to base 16. -3169 What is -2411 (base 10) in base 16? -96b Convert -604 (base 9) to base 16. -1ea 33673 (base 9) to base 11 15934 Convert -140 (base 13) to base 11. -191 118c (base 13) to base 7 10144 What is -313320 (base 5) in base 16? -28dc What is -85a6 (base 13) in base 16? -487d 4633 (base 8) to base 15 ade 30353 (base 11) to base 8 126470 Convert 10aa (base 13) to base 4. 210201 Convert 300323 (base 5) to base 8. 22367 What is -2363 (base 7) in base 10? -878 What is -11565 (base 7) in base 3? -11011110 Convert 10001111100 (base 2) to base 5. 14043 a46 (base 13) to base 14 8cc Convert -7382 (base 10) to base 4. -1303112 11012 (base 4) to base 9 402 Convert -11001010 (base 2) to base 3. -21111 Convert -10213 (base 8) to base 9. -5725 What is 125036 (base 8) in base 14? 11c2a Convert -a149 (base 14) to base 3. -1101222222 What is -1535 (base 7) in base 13? -383 What is -33540 (base 7) in base 2? -10000100111001 13010 (base 8) to base 6 42040 Convert 152524 (base 6) to base 4. 3220210 326 (base 10) to base 15 16b 437 (base 10) to base 4 12311 Convert 2425 (base 16) to base 2. 10010000100101 -6047 (base 12) to base 16 -28b7 What is c78 (base 13) in base 3? 2220210 Convert 3020122 (base 4) to base 2. 11001000011010 4897 (base 14) to base 12 7405 What is 230344 (base 6) in base 4? 10301320 What is -d39 (base 16) in base 3? -11122101 What is -7518 (base 12) in base 8? -31044 Convert 10001101111 (base 2) to base 16. 46f -15544 (base 8) to base 2 -1101101100100 What is -14353 (base 6) in base 15? -a36 Convert a034 (base 15) to base 4. 20100013 3365 (base 8) to base 13 a70 What is 41112 (base 5) in base 9? 3572 What is -20020020 (base 3) in base 6? -33010 What is 17a28 (base 12) in base 7? 202004 Convert -616 (base 14) to base 11. -998 -136156 (base 7) to base 15 -7b3d 52d9 (base 14) to base 10 14303 -100001110 (base 2) to base 10 -270 -1d7 (base 16) to base 7 -1242 What is -1122011 (base 4) in base 15? -1a95 Convert -1001000110 (base 2) to base 12. -406 122523 (base 6) to base 9 16066 What is -6400 (base 7) in base 5? -33004 Convert 131330 (base 4) to base 9. 2558 What is -1003 (base 11) in base 5? -20314 -3602 (base 8) to base 12 -1142 1c50 (base 16) to base 2 1110001010000 -185d (base 16) to base 3 -22120000 Convert -203b (base 12) to base 11. -26a5 Convert 194 (base 11) to base 9. 268 -6c84 (base 16) to base 5 -1342110 3197 (base 10) to base 11 2447 Convert 136 (base 11) to base 8. 240 Convert -1210122 (base 3) to base 8. -2441 -102a (base 16) to base 7 -15031 -301131 (base 5) to base 16 -2545 -10236 (base 7) to base 9 -3416 Convert 1001001000 (base 2) to base 16. 248 111344 (base 8) to base 10 37604 Convert -1a97 (base 12) to base 10. -3283 1380 (base 13) to base 4 223320 What is -14307 (base 9) in base 7? -40234 What is 67567 (base 8) in base 10? 28535 1122102 (base 3) to base 6 5315 What is 2010110 (base 4) in base 5? 232333 What is -141221 (base 5) in base 8? -13263 Convert -2fd (base 16) to base 2. -1011111101 What is -101122200 (base 3) in base 10? -7767 -1302d (base 15) to base 16 -ed79 What is -1678 (base 10) in base 2? -11010001110 28002 (base 9) to base 12 ab78 -2e2 (base 15) to base 13 -3bc Convert -35332 (base 9) to base 10. -23600 Convert -1011011101101 (base 2) to base 16. -16ed What is -110110111 (base 2) in base 11? -36a 52165 (base 10) to base 4 30233011 What is -117114 (base 9) in base 3? -10121010111 -111110 (base 5) to base 16 -f41 What is 2241 (base 8) in base 7? 3312 Convert -ab4 (base 15) to base 4. -211303 -109b (base 12) to base 8 -3467 1213 (base 6) to base 3 102000 Convert 169c (base 14) to base 4. 333122 1102 (base 6) to base 14 142 Convert 111700 (base 8) to base 4. 21033000 Convert -15355 (base 10) to base 15. -483a Convert -995c (base 14) to base 5. -1322132 243 (base 5) to base 11 67 Convert -11012 (base 3) to base 10. -113 -2 (base 6) to base 15 -2 -211420 (base 5) to base 10 -7110 -b82 (base 13) to base 14 -a05 Convert 112220 (base 3) to base 14. 20a Convert -13301 (base 4) to base 2. -111110001 -288 (base 15) to base 10 -578 What is 231002 (base 4) in base 5? 43012 What is -9292 (base 13) in base 3? -1000202021 Convert -202 (
{ "pile_set_name": "DM Mathematics" }
e. h**(1710/11) Simplify (((b*b*b*b**(3/17))/b*b)/(b**2*b))/(b*(b*b**(-9)*b)/b*b*b/(((b*(b*b**(8/9))/b*b)/b*b)/b)) assuming b is positive. b**(1081/153) Simplify (r/r**(-43)*r*r*(r*r/r**(-2/3))/r*r*r)**(-1/6) assuming r is positive. r**(-149/18) Simplify (m**0)**(22/5)*m*m**10*m*m**(-10) assuming m is positive. m**2 Simplify (((g*g/g**(-1))/(g*g**(5/4)/g))/((g*g**8)/g**(-8)))**(-10/3) assuming g is positive. g**(305/6) Simplify (r**(1/5)/r)/r*r/r**(-4/21)*r*r**(-17)*r**(-2)*r assuming r is positive. r**(-1849/105) Simplify (j**(-2/39)/j)/((j*j**(-14))/j)*j**10*j*j/j**(-2/27)*j assuming j is positive. j**(9134/351) Simplify h*h*h*h**11*h*h*h*h**(-2/15)*(h*h**(-2))**(-5) assuming h is positive. h**(328/15) Simplify ((v**3*v/v**(2/11))/(v**1)**(17/2))**18 assuming v is positive. v**(-927/11) Simplify (x*x**(-4)*((x**(3/7)*x*x*x)/x)/x*((x/x**(-1/9)*x)/x)/(x*x**(-1/6)*x))**(-36) assuming x is positive. x**(578/7) Simplify (r*r/(r*r**(-1/2)*r))**(-20)*r*r**(-16)*r**(-13)*r assuming r is positive. r**(-37) Simplify (((v/(v/v**(-3/4)))/(v*(v/(v/(v*v/v**(2/9))*v))/v))/((v*v**(-6))/(v/(v*v/(v**(-1/6)*v)))))**(2/27) assuming v is positive. v**(119/486) Simplify (t/t**(-37)*t**(2/25))/(t**(-4/13)/t)**(2/3) assuming t is positive. t**(37978/975) Simplify (((((z*z**(2/3))/z)/z*z)**(5/2))**(6/5))**(-33) assuming z is positive. z**(-66) Simplify ((d**1/d)/d)/d**(3/5)*(d*d**(-8/9)*d)/d**(-10/9) assuming d is positive. d**(28/45) Simplify (((y/(y/((y/(y**(-24)/y))/y)))/y*y)/((y/y**(5/4))/y))/((y*y**(-6/7)*y)/y)**(2/3) assuming y is positive. y**(2197/84) Simplify (w**0/w**(-8))/(w**(-2/25)*w*w**6) assuming w is positive. w**(27/25) Simplify ((n*n/((n/(n*n**3*n))/n)*n*n**(1/3))**(3/7))**10 assuming n is positive. n**(250/7) Simplify (k/k**(-3/5))**(-42)/(k**(3/4))**50 assuming k is positive. k**(-1047/10) Simplify (h**(1/17)*h*(h/(h*h**(-1/15)*h))/h)/(h**4)**24 assuming h is positive. h**(-24703/255) Simplify (p*p*p**(8/5)*p**(-3/11))/(p/(p*p*p*p/p**(-2/29)*p)*p/p**(-25)*p) assuming p is positive. p**(-31268/1595) Simplify ((l*l**(-1/3)*(l*l**(-1/2))/l)/((l/l**(-3))/(l/(l/(l*l**2)))))**(-48) assuming l is positive. l**40 Simplify (o**(-2/17)*o*o)**(2/15)/(o**5)**37 assuming o is positive. o**(-47111/255) Simplify (((y*y**(-2/7)*y)/y)**(-36/7)*y**2*y/(y**1/y))**50 assuming y is positive. y**(-1650/49) Simplify ((a**1*a)**(-1/3)/(a**(-1/5)/a**(-7)))**24 assuming a is positive. a**(-896/5) Simplify ((x/x**(1/5))/(x**(-1/4)*x)*x**7/(x*x**1))**(-2/15) assuming x is positive. x**(-101/150) Simplify ((t/(t/((t*(t*t**8)/t*t)/t)))/(t*t/t**(-6)*t)*(t**2/t)**(-10/9))**(-19) assuming t is positive. t**(190/9) Simplify (n**(-20)/(n*n*(n/n**19)/n*n*n))/((n*n**(-2/19))/n**16) assuming n is positive. n**(192/19) Simplify (f/(f/(f/(f*f*f**(-11)*f)))*(f**(-4)/f*f)/f*f*f*f)/((f*f*f**(4/9)/f*f)/f*f*f/f**(-10)*f) assuming f is positive. f**(-67/9) Simplify ((j**(-4)*j*j/j**4)**(-5/18))**(4/23) assuming j is positive. j**(20/69) Simplify (((j/(j/((j**(-1/2)*j)/j))*j)/j)**8*j*j**(-2/7)*j*j*j**(-1/6)*j*j)**48 assuming j is positive. j**(184/7) Simplify (w**2)**(-34)/(w/(w/(w*(w*(w*w/(w/(w/((w**(-6)*w)/w)*w)))/w)/w))*w*w*w/(w/w**(2/5))) assuming w is positive. w**(-397/5) Simplify (f*f*f*f**(1/11)*f*f)**39*(f**(-3/7))**(-28) assuming f is positive. f**(2316/11) Simplify (q/(q*q**(-4/9))*q*q/q**3*q/q**(1/2)*q*(q*q**(-1/9))/q*q)**(-8) assuming q is positive. q**(-44/3) Simplify (((d/d**(-14))/d)/d**1)/((d*d/d**(4/5))/d**(-9)) assuming d is positive. d**(14/5) Simplify (p/p**0)**(-17)/((p**(3/11)*p)/p*(p/p**(-1))/p) assuming p is positive. p**(-201/11) Simplify (u**(1/31)*u)**(-11)/((u/u**(2/21))/u**(-3/4)) assuming u is positive. u**(-33877/2604) Simplify (a**(-7)/(a**(-2/7)/a))/(a**(-4/9)*((a**(-2/41)*a)/a)/a*a) assuming a is positive. a**(-13486/2583) Simplify ((p*((p**(-2/9)*p)/p)/p*p)**31)**(35/3) assuming p is positive. p**(7595/27) Simplify (z**(-3/7))**(-46)*z**(-1/10)*z**(-1/5) assuming z is positive. z**(1359/70) Simplify (((i*i*i**1/i)/i**(-1/3))/(i**(1/7)/(i*i**1)))**(-49) assuming i is positive. i**(-616/3) Simplify ((s**(-2)*s*s)/(s*s/(s*s**(-4/9)))*(s*s*s**(-2))**(-5))**(6/19) assuming s is positive. s**(-26/57) Simplify (((y*y/y**(1/7)*y)/y)/y**(-4/9))/(((y/(y/(y/y**(-2/27)))*y)/y)/(y*y**(-5)*y)) assuming y is positive. y**(-335/189) Simplify (c/(c*(c/c**15)/c))**22/(c/((c*c*c**4*c)/c))**(5/8) assuming c is positive. c**(2665/8) Simplify (z/z**(2/11))/(z**(-2)*z)*(z**(2/13))**(5/7) assuming z is positive. z**(1930/1001) Simplify (q/(q*(q/((q/q**(-14))/q))/q))/(((q**(1/11)*q)/q)/q)*(q/(q/(q/q**1)*q*q))**(25/3) assuming q is positive. q**(-58/33) Simplify (z**10)**(-10)*z*z/(z*z**(-7)/z*z)*z**(-12/7)/z assuming z is positive. z**(-663/7) Simplify (r**6/(r*r*r**8))/(r*r**7*r/(r*r**(-1/13))*r*r*r) assuming r is positive. r**(-196/13) Simplify ((r*r**4)/r)**(-1/24)*r**(15/8)*r**(1/33) assuming r is positive. r**(153/88) Simplify (p**(-1/9)*p)/p*p/(p*p/(p/(p*(p**(-14)*p)/p)))*(p/(p/(p/p**(1/13))))/(p**(8/7)/p) assuming p is positive. p**(11195/819) Simplify (i/(i*i**(-7/3)*i)*i*i**(-8))**(-33) assuming i is positive. i**187 Simplify (d**(-37)/(d*d/(d**(-2/9)/d)))/(d**(-5/8))**(1/17) assuming d is positive. d**(-49187/1224) Simplify ((g**(-2)/(g**(-5)/g*g))/(g**0)**(2/69))**(3/4) assuming g is positive. g**(9/4) Simplify (x/(x**(-6/11)*x))/(x**(-2)*x)*x*x**(-5)*(x/x**8*x)/x assuming x is positive. x**(-104/11) Simplify ((g/(g*g/(g*g*(g*g**(-1)*g)/g)))**(-1/52)/(((g**(-6)/g*g)/g)/g*g*g**(-1/4)*g))**13 assuming g is positive. g**81 Simplify ((a/(a/(a*a**(-5/2))*a)*a)/a**(-2/5))**(40/7) assuming a is positive. a**(-44/7) Simplify z**20*z*z*z/((z**(5/12)/z)/z)*z**(-6)*z**23*z assuming z is positive. z**(511/12) Simplify (i*i**(3/2)*i**(2/9)*(i**(-1))**50)**10 assuming i is positive. i**(-4255/9) Simplify m**(18/5)*((m/(m*m**1))/m)/m*(m**8/m)/m**(1/4) assuming m is positive. m**(147/20) Simplify (c/(c*(c*c/(c/(c*c**(-3/10)/c)*c*c))/c*c))**41*(c/c**(-2/69))/((c/c**28*c)/c) assuming c is positive. c**(56117/690) Simplify (q/(q**(-2/7)/q*q*q)*((q*q**13*q*q)/q)/q)/((q**(-1/15)*q)/q*(q**12/q*q)/q*q) assuming q is positive. q**(247/105) Simplify ((j**(7/6))**(-28/9))**24 assuming j is positive. j**(-784/9) Simplify (p**(-9)*p/p**(8/3))/(p**14*p*(p**(2/7)*p)/p) assuming p is positive. p**(-545/21) Simplify (h**(2/7))**(12/7)*h**(-4)/h**(4/3) assuming h is positive. h**(-712/147) Simplify (m**16*m)/m**(-22)*m/m**(-9)*m/(m/(m**25*m))*m assuming m is positive. m**76 Simplify ((g**(-4)/(g/g**(2/21)))/((g/(g/(g/(g*g**(-3/2)*g*g))))/((g*g*g/(g/(g/(g*g**(-2))*g)))/g*g)))**(6/11) assuming g is positive. g**(25/77) Simplify (q*q**(-15))/(q*(q/(q/(q**(-5)*q))*q)/q)*(q*q**(2/15)*q)**(2/99) assuming q is positive. q**(-16271/1485) Simplify (c*c*c**(-2/47)*c*c*c)/c**(-11)*c**(12/7)*c**36*c assuming c is positive. c**(17987/329) Simplify (u*(u**(-6)/u)/u)**(-15)*(u*u/(u/(u*u**5)))**(1/23) assuming u is positive. u**(2422/23) Simplify m**0/(m/(m/(m/(m/((m**29*m)/m))))*m*m)*m**(-10/7)*m/(m**(-21)*m*m)*m assuming m is positive. m**(-80/7) Simplify ((y*y**(-4/3))/(y*y**13*y))/(y**(-2/7))**(1/9) assuming y is positive. y**(-964/63) Simplify (u**(-1)/u**(-3/2))/((u**(-4)/u)/u**(-1/19)) assuming u is positive. u**(207/38) Simplify ((k*k**(2/33)*k)/(k*k**(-38)*k))/(k**30)**(-2/53) assuming k is positive. k**(68548/1749) Simplify (z**(-2/23)/z**(-22))/((z**(-20)/z)/(z*z*z/(z*z**(-6)*z))) assuming z is positive. z**(1148/23) Simplify (((s/(s/s**(2/3)))**(-16))**(-1/44))**(6/7) assuming s is positive. s**(16/77) Simplify (a*a**(1/11)*(a/(a/(a/(a**(5/6)*a)))*a)/a)/(a*a**(1/14)/a*a*a**(1/12)*a) assuming a is positive. a**(-1753/924) Simplify ((p*p**(-1/4))/p*(p**(-6/7)*p)/p)/(((p/p**(-4/5)*p)/p)/(p**(-2/35)*p)) assuming p is positive. p**(-55/28) Simplify (n**(-1)/n)**18/((n*n*n/n**(-5/4)*n)/(n**7/n)) assuming n is positive. n**(-141/4) Simplify ((v*v**(30/13)*v)**23)**(-3/2) assuming v is positive. v**(-1932/13) Simplify (k*k**(-2)/k)**(7/2)/(k*k**(-5)*k)**(-10) assuming k is positive. k**(-37) Simplify (((g/(g/(g**0*g))*g)/g*g)**0/(g**(-3)*g*g**(-2)))**(18/11) assuming g is positive. g**(72/11) Simplify (p**8)**(11/5)/(p**(-1/16))**(2/41) assuming p is positive. p**(28869/1640) Simplify x**12*x*x**(-2)*x*x**(1/9
{ "pile_set_name": "DM Mathematics" }
of 20 + b + -3 + -2? 1 Let u = -218 + 309. What is the units digit of u? 1 Let l = -41 - -45. Suppose x - 9 = l*v, -2*x + 5*v + 14 + 1 = 0. What is the units digit of x? 5 Let j be -5*(5/(-5) + 0). Suppose 275 = 5*p - j*z, -5*z = p - 19 - 48. What is the tens digit of p? 5 Suppose -z - 2*c = 3*z - 3102, -5 = 5*c. What is the hundreds digit of z? 7 Suppose -3*q = -2*g - 332, -700 = 4*g + 3*q - 0*q. Let l = 343 + g. Suppose -5*j + l = -139. What is the tens digit of j? 6 Let k be 27/6 + (-2)/(-4). Suppose k*a - 4*a - 107 = 0. What is the tens digit of a? 0 Suppose 0 = 5*u + 32 + 3. Let t(i) = 3 + 3*i + 4*i**2 - 2*i**2 - i**2. What is the tens digit of t(u)? 3 Let b be 2/17 - 2268/204. Let v be (-131)/2 - b/22. Let z = v + 109. What is the tens digit of z? 4 Let p be 6 + -1 - (-5 - -5). Let c(b) = -b**3 + 9*b**2 + b + 7. What is the units digit of c(p)? 2 Let n = -46 + 493. What is the units digit of n? 7 Suppose 0 = -2*l - 2*b + 1562, -5*l + 2411 = 2*b - 1482. What is the hundreds digit of l? 7 Let m be 2/(-3)*(4 + 593). Let d = m - -603. What is the hundreds digit of d? 2 Let n(s) = -s**2 - 19*s - 18. Let d be n(-16). Suppose 5*a + 60 = -d. Let g = a + 51. What is the units digit of g? 3 Suppose -3*v + 22 = r + 3, -2*r = -8. Let k(y) = 3 - 5*y**3 - 5*y**2 - y**3 - 10*y - 5*y**2 + v*y**3. What is the units digit of k(-9)? 2 Suppose 3*z = 2*j - 110 + 19, 0 = -2*z + 3*j - 69. Let s = -27 - z. Suppose s = -4*v + 102 - 42. What is the tens digit of v? 1 Let f be -190 - (1 + -3 - 2). Let h = -129 - f. What is the units digit of h? 7 Suppose m + 545 = -4*q - 2*m, 0 = 4*q - 5*m + 553. Let c = q + 226. What is the units digit of c? 9 Let y(w) = w**3 + w + 3. Let k be y(0). Suppose -k*s + 2*m = -34, 2*s + s = -2*m + 14. Let r = -5 + s. What is the units digit of r? 3 Let t be ((-18)/(-10))/(3/10). Suppose 2*r - t - 16 = 0. Let c = 19 + r. What is the tens digit of c? 3 Let w = 96 - 48. Let d = 51 - w. What is the units digit of d? 3 Let w be 5 + (-5 - -3)/1. Let m be w/6 - (-7)/2. Suppose 14 = -m*j + 106. What is the tens digit of j? 2 Let f(d) = -2*d**3 - 9*d**2 - 5*d + 6. What is the units digit of f(-5)? 6 Let v(h) = 45*h + 124. What is the units digit of v(6)? 4 Let v = 85 + -53. Suppose 3*o - 5*j - 200 = 0, -o + v = 4*j - 29. What is the tens digit of o? 6 Suppose -345 = -a - 4*g, -2*a + 694 = -16*g + 20*g. What is the tens digit of a? 4 Suppose -4*w + 5*w - 2*m = 125, -4*m + 667 = 5*w. Let f = w - 51. What is the units digit of f? 0 Let a = -36 + 40. Suppose 5*c - 329 = -3*t, -9 = -a*t + 3. What is the units digit of c? 4 Suppose 5*n - 12 = 3*n. Suppose 62 = n*b - 3*b + p, -4*b = 5*p - 101. What is the units digit of b? 9 Let u(z) = -7*z**2 + z**3 + 0*z**3 + 3 + z**2 + z**2 - 13*z. What is the units digit of u(8)? 1 Suppose -80 = -l - 82, -2*w + 5946 = -4*l. What is the units digit of w? 9 Let n(v) = v - 8. Let q be n(-7). Let f = -11 - q. Suppose -132 = -f*w + w. What is the units digit of w? 4 Let d = -2786 - -5762. What is the thousands digit of d? 2 Suppose 3034 = 2*p - 2630. What is the tens digit of p? 3 Let o(m) be the third derivative of -m**6/60 - m**5/12 + m**4/6 - 2*m**3/3 - 2*m**2. Let u be o(-5). Let c = -52 + u. What is the tens digit of c? 4 Let k be 116/(-28) + (-3)/(-21). Let n be (784/k)/(3 + -5). Suppose -4*z - 3*g = -148, 0 = -z + 4*z - g - n. What is the units digit of z? 4 Suppose 0 = -788*k + 786*k + 7446. What is the units digit of k? 3 Let c be (-4 - 44) + (-4 - 0). Let p = c + 97. What is the tens digit of p? 4 Let k(i) be the third derivative of -4*i**6/15 - i**4/12 - i**3/3 - 6*i**2. What is the tens digit of k(-1)? 3 What is the thousands digit of 11193/(-17 + 24) + -3*2? 1 Suppose 0 = 2*q - 97 + 93. Suppose -3*y = -5*f + 524, 277 = q*f + 3*y + 80. What is the hundreds digit of f? 1 Let d(f) be the second derivative of -f**6/360 + f**5/12 - f**4/3 + f**3/2 + 3*f. Let h(g) be the second derivative of d(g). What is the tens digit of h(7)? 1 Suppose -2*j = -4*r - 5564, 11*r - 16*r = j - 2817. What is the hundreds digit of j? 7 Let r(o) = o**3 - o**2 - 11*o - 122. What is the thousands digit of r(15)? 2 Let s(x) = -4*x**3 - 9*x**2 - 7*x + 34. What is the hundreds digit of s(-6)? 6 Let n(r) = -64*r + 14. Let a be n(-14). Suppose -16*f - a = -21*f. What is the tens digit of f? 8 Let g be (-3 + (4 - 1))/(-1). Let z(n) = -n - n + n + g. What is the units digit of z(-4)? 4 Let j be 24/(-28)*(-14)/4. Suppose -3*i + 2*c = -498, -2*i - c = j*c - 332. What is the units digit of i? 6 Let s be (-370)/20 + (-1)/(-2). Let w be 3 - s/(-3) - -4. What is the units digit of 6*(w + (-14)/(-4))? 7 Suppose 28*r + 22*r - 148450 = 0. What is the thousands digit of r? 2 Suppose 13*r - 30344 - 26440 = 0. What is the thousands digit of r? 4 Suppose 133*g = 137*g - 10404. What is the units digit of g? 1 Let f = 722 - 275. What is the units digit of f? 7 Suppose -19608 = 12*s - 31*s. What is the tens digit of s? 3 Let h = 117 + -83. Let x = 39 - h. Suppose 2*q = 6*q - 16, 3*s + x*q = 206. What is the units digit of s? 2 Let p(v) = 0*v - 3 - 43*v**2 + 5*v + 44*v**2. Let f be p(-6). Suppose 0 = -4*t + y + f*y + 124, 2*y = -5*t + 155. What is the tens digit of t? 3 Let t be (135 - (-3 - -3)) + 2. Suppose 4*j = t + 39. What is the units digit of j? 4 Suppose 1054*z - 2134 = 1043*z. What is the hundreds digit of z? 1 Let b(d) = 10*d**3 + d**2 - 2*d + 4. Let t(z) = -z**2 + 6*z - 5. Let r be t(2). What is the hundreds digit of b(r)? 2 What is the tens digit of (-23736)/(-34) - (1057/(-119) - -9)? 9 Suppose 4*b + 8*h - 7*h - 3543 = 0, 0 = b - 2*h - 897. What is the tens digit of b? 8 Suppose -4*s + 252 = -384. Let u = 230 - s. What is the tens digit of u? 7 Let b be -4*-3*(-4)/(-24). Suppose o - 3*t + 37 = t, -o - 43 = -b*t. What is the units digit of (0/(-2) - o)*1? 9 Let r be ((-8)/4 - -5) + (-421 - -1). Let x = r + 640. What is the units digit of x? 3 Let l = 1802 + 240. What is the units digit of l? 2 Suppose 3*n = -3*g + 4659, 14*n - 6216 = 10*n - 2*g. What is the units digit of n? 5 Suppose -3*f - b + 19 = 3, 10 = f + 5*b. Suppose 3*a - f = 2*a. Suppose 3*d - 5 = -4*q, -4*d + d + 41 = -a*q. What is the units digit of d? 7 Suppose 2*q - 5*q = -51. Let t = -15 + q. Suppose -3*k + 54 = -j, -k + 3*k - 32 = t*j. What is the tens digit of k? 1 Suppose 0 = -7*b + 6785 - 401. What is the tens digit of b? 1 Let v be 7*(-4)/(140/(-15)). Suppose 141 = t - 0*t - v*q, 4*q = -12. What is the hundreds digit of t? 1 What is the thousands digit of (-72488)/(-42) - 90/(-945)? 1 Suppose -2*n + i + 478 = -3104, -2*n = 5*i - 3594. What is the tens digit of n? 9 Let s = 1 - 3. Let t be 2*s/(-4) - 1. Suppose -x - 4*x + 100 = t. What is the units digit of x? 0 Let u(z) = -14*z - 162. Let i be u(-12). Let y(f) be the first derivative of -f**3/3 + 4*f**2 + 12*f - 1. What is the units digit of y(i)? 4 Let c(h) = h**2 - 46*h + 505. What is the tens digit of c(60)? 4 Suppose -65*m + 61*m = -1764. What is the hundreds digit of m? 4 Let i = 214 + 857. What is the units digit of i? 1 Let m = -193 + 402. What is the hundreds digit of m? 2 Suppose 27 = 3*b + 2*z - 7, 0 = 2*b - 2*z - 16. Let r(k) = k + 14. Let a be r(b). Suppose 2*f = m + a, -2*f = -0*m + 5*m. What is the units digit of f? 0 Let f = 32 - 31. What is the units digit of f*1/1 + 18 + -5? 4 Suppose 4*p - 4*f + 2*f = -52, -5*p - 4*f - 65 = 0. Let a = 135 - p. What is the units digit of a? 8 Suppose -2*a + 2439 = i, -3*i + 289 = a - 923. What is the units digit of a? 1 Let z = -17 - -6. Let a be 2/z - (-10212)/22. What is the units digit of a/24 - (-8)/(-6)? 8 Suppose 5*o - 3 = -3*a, a = 4*o - 2*a - 24. What is the units digit of (3 + -4)*o*-1? 3 Suppose 5*j - 5*p = -10, 0*p + 6 = 2*j + 3*p. Let h(k) be the second derivative of -k**3/3 + 3*k**2/2 - 16*k. What is the units digit of h(j)? 3 Suppose -3*r - 3*r + 1212 = 0. What is the tens digit of r? 0 Let a = 130 + 223. Suppose a + 775 = 8*n. What is the hundreds digit of n? 1 Let o = 22 + -18. Suppose 0*q - q - 2*y + 162 = 0, o*y = -q + 156. What is the units digit of q? 8 Suppose -4*r = 4*m - 28, 4*m - 6*m - 4*r = -14. Let o be 0 + (-4 + m - 1). Suppose -5*w + 0*w = -5*k + 260, w = o*k - 104. What is the tens digit of k? 5 Let o = 790 + -473. What is the hundreds digit o
{ "pile_set_name": "DM Mathematics" }
w + 9 = 0. Find the second derivative of -209*q - q**4 + 207*q + w*q**5 + 14*q**4 wrt q. 60*q**3 + 156*q**2 Let b = 80 + 55. Find the second derivative of -183*i**2 - 120*i + b*i + 8*i**2 wrt i. -350 Let g(d) be the first derivative of d**6/6 - 28*d**5/5 + 7*d**4/4 + 199*d**3/3 - 2*d - 8842. What is the third derivative of g(v) wrt v? 60*v**2 - 672*v + 42 Let b(r) be the first derivative of -3277*r**4/4 + 391*r**3/3 - 2832. What is the third derivative of b(d) wrt d? -19662 Let h be -123*((-8)/(-12))/2. Let j = h - -43. What is the third derivative of -12*b**2 - b**3 + 0*b**2 + 2*b**3 - 5*b**j wrt b? 6 Let v = 12 + -6. Suppose -3 = -5*g + 27. What is the third derivative of -3*o**v + o**6 - 13*o**2 - 8*o**6 - o**g wrt o? -1320*o**3 Let t(g) = 3735*g**3 + 10*g**2 + 120*g + 4. Let i(l) = 11*l**3 - 2*l**2. Let c(f) = 5*i(f) + t(f). Find the second derivative of c(v) wrt v. 22740*v Let h be (-9)/(-12) - 33/(-4). Suppose -h*n = -5*n. What is the first derivative of -6*t + n - 1 + 2 wrt t? -6 Let y(u) be the second derivative of -217/2*u**2 + 0*u**3 + 60*u + 59/12*u**4 + 0. Differentiate y(m) with respect to m. 118*m Suppose -2*o - 132 = -u, 4*u - 34*o = -35*o + 519. Find the third derivative of -j**2 - 195*j**4 + u*j**4 - 49 + 101*j**4 wrt j. 864*j Let b(p) = 28*p**2 - 21*p - 39. Let s be b(-2). What is the derivative of 71*c + 65*c - 250*c + 77*c - s wrt c? -37 Let h = 104 + -102. Find the second derivative of -33 - 12*a - 9*a**h - a + 6*a + 8*a wrt a. -18 Suppose 0 = -3*k + 4*v + 11, -2*k + 3*v + 14 = 2*v. Let b be -3 + k + -2 - -3. What is the second derivative of 12*a - b*a + 22*a - 17*a**5 + 48*a**5 wrt a? 620*a**3 Let k(o) be the first derivative of -3803*o**4/2 + 1237*o**2 - o - 7154. Find the second derivative of k(m) wrt m. -45636*m Let j be (6/4)/(3/452). Differentiate 5*o + j - 6*o - 40*o - 205 with respect to o. -41 Let p be 14 + (1 + 1)*-2. What is the derivative of 21*m**2 + m**2 + 58*m**2 + 23 + p wrt m? 160*m Let c be (10/(-3))/((-7)/84). Let x = 43 - c. Find the first derivative of -10 - 14*a**x + 14*a**3 - 7*a**4 wrt a. -28*a**3 Suppose 0 = -4*y - 4*d - 4 + 32, -2*y = 3*d - 17. Find the first derivative of 4*a**y - 44*a + 13*a**4 - 2*a**3 - 74 + 44*a wrt a. 68*a**3 - 6*a**2 What is the derivative of -11*v - 2715 - 350*v - 2291*v**3 + 361*v wrt v? -6873*v**2 Let m(y) be the first derivative of 147*y**5/5 - 2*y**3/3 + y**2 + 332*y + 5307. Find the first derivative of m(t) wrt t. 588*t**3 - 4*t + 2 Let l(u) be the first derivative of 0*u**3 - 145/2*u**4 + 0*u + 40 - 131/2*u**2. What is the second derivative of l(z) wrt z? -1740*z What is the derivative of -4018*m + 496*m + 1152 + 319 wrt m? -3522 Let v(o) be the third derivative of 1789*o**9/504 + o**6/120 + 1649*o**5/30 + 2249*o**2. What is the third derivative of v(s) wrt s? 214680*s**3 + 6 Let g(b) = 44*b**3 - 431*b**2 - 6*b + 18006. Let w(m) = -58*m**3 + 574*m**2 + 8*m - 24008. Let l(k) = 13*g(k) + 10*w(k). What is the derivative of l(f) wrt f? -24*f**2 + 274*f + 2 Let i(s) be the second derivative of 3 + 11/2*s**2 + 11/3*s**3 + 7*s. Differentiate i(k) with respect to k. 22 Let o(j) be the first derivative of -400*j**3 - 213*j**2/2 + j - 1174. Find the second derivative of o(s) wrt s. -2400 Let b(g) be the second derivative of 27*g**5/10 + 3853*g**3/6 - 4357*g. Find the second derivative of b(u) wrt u. 324*u Let h(i) = -8*i - 77. Let o be h(-10). Find the second derivative of 5*j**2 - 9*j**4 - 2*j**2 - 76*j - o + 80*j wrt j. -108*j**2 + 6 Let l(w) = 628*w**3 + 20*w**2 + 1255*w. Let v(m) = -315*m**3 - 8*m**2 - 626*m. Let i(r) = -2*l(r) - 5*v(r). Find the second derivative of i(h) wrt h. 1914*h Suppose 4 - 64 = -10*k. What is the first derivative of 39 + 7*v**2 - k*v - v + 9*v wrt v? 14*v + 2 Let p be (-13)/((-26)/(-4)) + 106. What is the second derivative of -71*z - 28875*z**3 - 1 + 28875*z**3 - p*z**5 wrt z? -2080*z**3 Let u(n) = -62*n**4 + 3*n**2 - 9*n - 1122. Let d(j) = -123*j**4 + 5*j**2 - 15*j - 2243. Let r(q) = -3*d(q) + 5*u(q). Differentiate r(x) wrt x. 236*x**3 Let p(d) = -23*d - 282. Let c(k) = 22*k + 281. Let u(y) = 4*c(y) + 5*p(y). Differentiate u(j) wrt j. -27 Let l(z) = 602*z**2 + 764*z + 3. Let c(h) = 1202*h**2 + 1527*h + 5. Let s(n) = 3*c(n) - 5*l(n). Find the second derivative of s(j) wrt j. 1192 Let o(s) = 4*s**2 - 5*s - 6. Let p be o(-1). What is the second derivative of -8*k**4 + 41*k**3 - 41*k**p - 34*k**4 - 81*k wrt k? -504*k**2 Let m = 53 - 51. Find the second derivative of -942*r**5 - 4*r**m + r + 946*r**5 - 18 - 10 wrt r. 80*r**3 - 8 Differentiate 696*i**2 - 468 - 1496*i**2 - 78*i**2 with respect to i. -1756*i Suppose -3*u - 12 = 2*a - 52, -a = -2. Differentiate 27*h**2 - 9*h**2 + 2*h**3 - 6*h**2 + 141 - u*h**2 + 6*h wrt h. 6*h**2 + 6 Find the second derivative of -4*d**4 + 2*d**4 - 12*d - 6*d + 59*d - 159 - 13*d**2 - 104*d**3 - 31*d wrt d. -24*d**2 - 624*d - 26 Let f(l) be the second derivative of 322*l**5/5 + l**4/6 + 1048*l**3/3 - l - 4777. What is the second derivative of f(s) wrt s? 7728*s + 4 Suppose 4*k = -2*o - 51 - 211, 2*k + 151 = 3*o. Let q = k + 73. What is the third derivative of -370*f**2 + 30*f**q + 180*f**2 + 177*f**2 wrt f? 1800*f**2 Let d(v) = 264*v**3 + 1000*v**2 - 10*v + 15. Let g(l) = -l**3 + 2*l - 3. Let k(h) = -d(h) - 5*g(h). Find the third derivative of k(r) wrt r. -1554 Find the third derivative of -39*h + 5630*h**2 + 40*h + 0 - 1555*h**2 - 145*h**3 + 0 wrt h. -870 Let f(b) be the third derivative of -1607*b**8/56 - b**5/60 - 953*b**4/24 + b**3/6 - 954*b**2 + 2*b. Find the third derivative of f(d) wrt d. -578520*d**2 Let k(g) be the first derivative of -59*g**4/4 - 206*g + 3187. What is the first derivative of k(o) wrt o? -177*o**2 Let o = 266 - -82. What is the derivative of -5 - 314*g**2 + 0 + 16 + o*g**2 - g**3 wrt g? -3*g**2 + 68*g Let y be 14/(-10) - 16392050/(-125). What is the third derivative of -147*d**2 - d**5 - 131135*d**3 + y*d**3 + 5*d**6 wrt d? 600*d**3 - 60*d**2 Differentiate -1287*t**2 - 314*t + 270*t**2 + 314*t - 1130*t**2 + 3730 wrt t. -4294*t Suppose 1 = -5*j + 3*k, 47*j + 5*k + 23 = 43*j. Let v(q) = -99*q + 115. Let t(w) = -13 - 10 - 8*w + 28*w. Let y(g) = j*v(g) - 11*t(g). Differentiate y(i) wrt i. -22 Let w(i) be the second derivative of 0*i**2 + 0 + 0*i**3 - 2/7*i**7 + 19/12*i**4 + 0*i**6 - 53*i + 0*i**5. What is the third derivative of w(f) wrt f? -720*f**2 Let r be (-50)/(-175) - 19*(-1)/7. Let d be 2 + (r - 0 - 0). Find the third derivative of 9*u**5 + 10*u**d - 33*u**2 + 57*u**2 wrt u. 1140*u**2 What is the second derivative of 804*g**4 - 326*g**5 + 991*g**5 - 802*g**4 - 2157*g + 322*g**5 wrt g? 19740*g**3 + 24*g**2 Let g(r) = 57*r**2 + 59*r + 5. Let m(h) = 57*h**2 + 65*h - 7*h + 331 - 325. Let b(k) = -6*g(k) + 5*m(k). What is the second derivative of b(y) wrt y? -114 Let a(p) = 27861*p**2 - 31302*p. Let n(c) = -753*c**2 + 846*c. Let k(r) = 4*a(r) + 150*n(r). Find the second derivative of k(s) wrt s. -3012 Suppose -6*q + 2*q - 21 = -5*f, 5*f + 3*q = 28. Suppose 0 = f*g - 7 - 8. Find the second derivative of 18*j - 9*j**3 + 13*j**3 - 24*j**g wrt j. -120*j Let b(d) be the first derivative of 264*d**5/5 + d**2/2 - 5884*d + 3149. What is the first derivative of b(n) wrt n? 1056*n**3 + 1 Let m = 395 + -391. Let j(n) = -24*n**2 - 4*n - 3. Let f(i) = 23*i**2 + 5*i + 4. Let o(u) = m*f(u) + 5*j(u). What is the first derivative of o(h) wrt h? -56*h Let u(i) = -i**3 + i**2 - i + 2. Let q(y) = -8*y**2 - 212*y - 17 - 222*y + 441*y. Let c(b) = q(b) + 6*u(b). Find the second derivative of c(k) wrt k. -36*k - 4 Let x(o) be the first derivative of o**6/2 - 12*o**5/5 - 5*o**4/2 + o**3 - 177*o**2/2 - 2*o - 2687. Find the third derivative of x(s) wrt s. 180*s**2 - 288*s - 60 Suppose -23 + 26 = -c, 15615 = 5*g - 5*c. What is the derivative of -2997 + 107*s + 36*s + g wrt s? 143 Let s be ((-2)/(-10))/(8 - 1071/135). What is the second derivative of 27 - 236*h**2 - s*h + 408*h**2 + h + 3*h - 274*h**2 wrt h? -204 What is the third derivative of 251*l**2 - 878*l**3 + 24*l - 3056*l**2 + 23*l - 47*l wrt l? -5268 Differentiate 3822*c**3 + 1878*c**3 + 754 - 210 - 1721*c**3 + 846 wrt c. 11937*c**2 Let o(g) be the second derivative of 0*g**3 + 0*g**4 - 14/5*g**5 - 2*g + 35 + 27/2*g**2. Differentiate o(w) with respect to w. -168*w**
{ "pile_set_name": "DM Mathematics" }
hat are the prime factors of j? 11 Suppose 4*m = 4*f - 108, 0*m + 66 = 3*f + 2*m. Suppose -5*v - f = -j + 36, -v + 132 = 3*j. List the prime factors of j. 3, 5 Let j(g) = -g**3 - 4*g**2 + 3*g + 7. Let k be j(-3). Let t be 4*(k/4 + 1). What are the prime factors of ((-120)/(-35))/((-1)/t)? 2, 3 Suppose d = 2*v - 2, 4*d + 0*v = v + 20. Suppose b = d + 2. Let w(j) = -j**2 + 10*j - 6. What are the prime factors of w(b)? 2, 5 Let z = -2178 + 4067. List the prime factors of z. 1889 What are the prime factors of 8790/20*(-252)/(-27)? 2, 7, 293 Let z(a) = -a**2 - a + 3. Let g be z(0). Suppose 40 = g*n - n. Suppose -2*o - n = -4*o. What are the prime factors of o? 2, 5 Let r = -14 - -16. Suppose 145 + 135 = -r*p. Let o = p - -207. What are the prime factors of o? 67 Let x(b) = 3*b + 63. What are the prime factors of x(-10)? 3, 11 Let k(u) = 7. Let z(q) = q - 1. Let v(f) = -k(f) + 3*z(f). Suppose -t + 4*p - 2 = 2*p, -20 = -4*p. What are the prime factors of v(t)? 2, 7 Let m(b) = 8*b**3 + 16*b**2 - 5*b + 14. What are the prime factors of m(5)? 3, 463 Suppose -a + 2*d + 82 = 6*d, -a - 2*d = -82. Suppose 0 = -4*f + 5*c + a, 5*f + 2*c = c + 88. What are the prime factors of f? 2, 3 Let b = 519 - 275. What are the prime factors of b? 2, 61 Suppose -l + 5*s - 1 = -11, 0 = -2*l + 2*s - 12. Let p = 73 - 71. What are the prime factors of l/5 + 26/p? 11 Suppose b = 3*b - 50. Let v be (16/(-20))/((-2)/b). Suppose -4*s + 8*s + p - 58 = 0, -5*p - v = 0. List the prime factors of s. 3, 5 Suppose -a + 2*a = 0. Suppose -3*r + 9 = -a*r. Suppose r*p - p = 44. What are the prime factors of p? 2, 11 What are the prime factors of -9 - -2 - (-1352 + 4)? 3, 149 Let m = 736 - -194. List the prime factors of m. 2, 3, 5, 31 Let c(r) be the second derivative of r**3/2 + r**2/2 + 3*r. Let x be c(1). Suppose -132 = -x*i + i. List the prime factors of i. 2, 11 Let j(h) = -h - 8. Let c be j(-9). Let z = 3 - c. Suppose 2*n = a - 11, a - 5*n + 25 = z*a. List the prime factors of a. 3, 5 Let h(i) be the second derivative of -i**4/6 + 29*i**3/6 - 21*i**2/2 - 4*i. What are the prime factors of h(11)? 2, 7 Let k(t) = -2*t**3 + t**2 - 4*t - 3. Suppose y - 9 = 4*y. List the prime factors of k(y). 2, 3 Let n(o) = -o**3 - 3*o**2 - 5*o - 4. Let s be n(-2). Let k be (-1)/s + (-213)/6. Let z = k + 73. What are the prime factors of z? 37 Let w(r) = r**3 + 10*r**2 - 10*r - 12. Let t be w(-11). Let b = t + 21. Let c(a) = a**3 + 2*a**2 - a + 2. List the prime factors of c(b). 2 Suppose 17*l = 21*l + 2*v - 2018, -l + 5*v + 521 = 0. What are the prime factors of l? 2, 11, 23 Let o = 2049 + -1319. What are the prime factors of o? 2, 5, 73 Let u(z) = 25*z - 15. Let m(f) = -38*f + 23. Let q(g) = 5*m(g) + 8*u(g). List the prime factors of q(5). 3, 5 Let v(i) = -i**2 - 16*i - 10. Let c be v(-11). Let j = -24 + c. Let k = -11 + j. List the prime factors of k. 2, 5 Let v = 135 - 74. Let g = 133 - v. What are the prime factors of g? 2, 3 Let h = 37 + -41. List the prime factors of (h/(-1) - -4)*4. 2 Let w be 1/(-7) + (-165)/(-77). Suppose w*h + 15 = 7*h. Suppose -2*g + 205 = h*g + 5*t, 2*g - 94 = 4*t. List the prime factors of g. 43 List the prime factors of 8202/10 + 39/(-195). 2, 5, 41 Let t = -5929 - -10453. List the prime factors of t. 2, 3, 13, 29 Let b(f) = 42*f + 585. What are the prime factors of b(9)? 3, 107 Let c(y) = y**3 - 2*y**2 - y - 242. Let v be c(0). Let b = -138 - v. What are the prime factors of b? 2, 13 Let q = -17 - -52. Let g be (-3)/(1/(-2) + (-1)/2). Suppose 4*b + 5*y = q, -g*b - 3*y = 2*y - 25. What are the prime factors of b? 2, 5 Suppose 164 = 5*w + h, 0*h = -w - 2*h + 31. Let n = 0 + 2. What are the prime factors of ((-88)/w)/(n/(-6))? 2 Let t = 1051 - 307. What are the prime factors of t? 2, 3, 31 Suppose 38*i - 5715 = 29*i. List the prime factors of i. 5, 127 Suppose 4*w = -3*h + 3584, 2*h - 1121 = -w + 1275. List the prime factors of h. 2, 3, 5 Suppose 0*f - f = -5. Let j(h) = h**3 + 2 - 2*h - 53*h**2 + 26*h**2 + 23*h**2. List the prime factors of j(f). 17 Let a = -184 - -545. List the prime factors of a. 19 Suppose 2*z - 1 - 81 = 0. Suppose 3*b - z = 2*b. List the prime factors of b. 41 Let v = 107 - 71. Suppose -v = -0*d - 3*d. Suppose 8*m + 144 = d*m. What are the prime factors of m? 2, 3 Let z(v) = 4*v**3 + 10*v**2 + 8*v + 5. Let a be z(-7). Let c be a/(-11) - 10/(-55). Suppose -8*b + 3*b + c = 0. What are the prime factors of b? 17 Suppose -m = -3*w + 922, -6*w + 3*m + 294 = -5*w. What are the prime factors of w? 3, 103 Let x(v) = 13*v**2 + 4*v - 10. Let s be x(-5). Let r = s - 108. List the prime factors of r. 11, 17 Let k(y) = -4 + 5*y**2 + 7*y**2 + 3*y - 8 + 3. What are the prime factors of k(3)? 2, 3 Suppose 0 = 3*o - 306 - 408. Suppose -o = -4*s + 406. Suppose 5*h + 36 = s. List the prime factors of h. 5 Suppose 0 = 15*s - 3787 - 413. What are the prime factors of s? 2, 5, 7 Suppose y - 63 = -b, 0*y + 2*b = 4*y - 282. Suppose -20 - y = -x. List the prime factors of x. 2, 11 Suppose -f + 4 = 2*g, -2*f + 4*f - 9 = -5*g. Suppose f*j - 107 = 53. Let t = -28 + j. What are the prime factors of t? 2, 13 Let t = 62 + -141. Let u = -14 - t. List the prime factors of u. 5, 13 Let y = 392 - 200. Let k(w) = -6*w**2 - 3*w - 2. Let c be k(-5). Let q = c + y. List the prime factors of q. 5, 11 Suppose 9*j + 55 = 10*j. What are the prime factors of j? 5, 11 Suppose -5*p + 4*p + 2 = 0. Suppose -p*x + 0 + 8 = 0. Suppose -x*l + 13 = -3. List the prime factors of l. 2 Let o(u) = 1403*u**2 + 4*u - 2. What are the prime factors of o(1)? 5, 281 Let y = -15 + 19. Let v(o) = 18*o - 7. What are the prime factors of v(y)? 5, 13 Let k(b) = -12*b - 6. Let z be k(-5). Suppose -c + z = -3*h, -c + 6*c = 2*h + 322. What are the prime factors of (-3 + c/4)*4? 2, 3 Let k(z) = 2*z**3 + 10*z - 3*z**3 + 14 + 2*z**3 - 5 + 10*z**2. Let w be k(-7). Suppose -5*n + w = -79. What are the prime factors of n? 3, 11 What are the prime factors of 14/7*(-4 - 818/(-4))? 401 Let z(s) = 90*s - 79. What are the prime factors of z(8)? 641 Let l(u) be the first derivative of -u**2 + 16*u + 12. Let m be l(7). Suppose 5*a = 5, a = m*q + 4*a - 147. What are the prime factors of q? 2, 3 Let f = 53 + -57. What are the prime factors of (f/12)/((-3)/225)? 5 Let t be -1*(-2)/4 - 171/(-6). Suppose 2*a - 60 = -q + t, -2*q + 3*a = -171. List the prime factors of q. 3, 29 Let w be (-294)/(-3) - (-10)/(-5). Suppose -2*j = -5*r - w - 64, -2*r = 5*j - 342. What are the prime factors of j? 2, 5, 7 What are the prime factors of (3 + -1 + -8)*241218/(-324)? 3, 1489 Suppose 6 = j + 4. Suppose -2*u = 5*l - 477, -l = l + j*u - 186. List the prime factors of l. 97 Suppose -5*j = 3*p - 40, p - 35 = -4*p - 2*j. Let w(s) = s**3 - 5*s**2 + 8*s - 3. List the prime factors of w(p). 37 Let p(o) = -4*o - 215. Let w(b) = -b - 54. Let j(i) = 2*p(i) - 9*w(i). Let t be (9/(-3) - -3)*1. List the prime factors of j(t). 2, 7 What are the prime factors of 90063/21 - -6*11/231? 4289 What are the prime factors of (389/2 - -3)*1100/125? 2, 11, 79 Let u(h) = h**3 - 11*h**2 + 15. Let z(n) = -3*n**3 + 31*n**2 + n - 44. Let d(w) = -8*u(w) - 3*z(w). What are the prime factors of d(9)? 3, 103 Let f = -113 + 106. Let q(v) = 2*v**2 + 16*v + 41. What are the prime factors of q(f)? 3 Let p be 6 + (0 - (0 + 4)). Let w(a) = 11*a**p + 2 + 0 - 10*a + a**3 - 4*a**2 + 9. List the prime factors of w(-8). 3 Let r(m) = -5 - 13 + 27*m - 30*m. What are the prime factors of r(-18)? 2, 3 Suppose 0 = 5*l - 5, 0*l - 518 = t + 4*l. Let b = -267 - t. List the prime factors of b. 3, 5, 17 Suppose 0*n - 156 = -4*n. Let j = n + -34. List the prime factors of j. 5 Let l = 618 + -376. What are the prime factors of l? 2, 11 Let t(g) = -2*g**3 + 3*g**2 - 14*g + 18. What are the prime factors of t(-8)? 2, 673 List the prime factors of -5*(-10)/(-25) + (2 - -940). 2, 5, 47 Let b be 1676/(-14) - (-6)/(-21). List the prime factors of -3*((-4)/9)/((-16)/b). 2, 5 Let k be (-1 + -2)*(-28)/(-21). Let d be (-1 + 0)/((-3)/33). Let i = d - k. List the prime factors of i. 3, 5 List the prime factors of (-7 - (0 - 0)) + 1070. 1063 Let v = 8 + -6. Let g be (-5 + 5)*(-1)/2. Suppose g = -4*x + 2*p - p + 51, -2*x + v*p = -18. What are the prime factors of x? 2, 7 List the prime factors of 4516 - (-9)/((-81)/(
{ "pile_set_name": "DM Mathematics" }
= 73 + -65. Which is the second smallest value? (a) 1 (b) g (c) 4/5 a Let x = 12888 + -64764/5. Let z = 65 + x. What is the second smallest value in 3, z, -4? z Let v be 6/(-16)*(-2 + 136/60). What is the second smallest value in -0.5, v, -5? -0.5 Let f = -5.8 - -7.8. What is the second biggest value in 5, f, 3/5, -2? f Let n = 6.14 + -0.14. Let s = 6.11 - 0.51. Let d = s - n. Which is the third biggest value? (a) -0.3 (b) d (c) 4 b Let n = 1 + 2. What is the second smallest value in 1, n, -0.4? 1 Suppose 3*k + 8 = n, 4 = 5*n - 5*k - 26. Let o = -57/13 + 617/117. Let t = o - 14/9. Which is the second biggest value? (a) -3/2 (b) t (c) n b Let p = 1.85 + -1.35. Which is the second smallest value? (a) -1 (b) -1/2 (c) -0.4 (d) p b Suppose 0 = -0*n - 3*n + 12. Let x be (n/(-10))/(9/15). Let v be (-6)/((-2)/(-4)*-3). What is the second smallest value in x, -3/7, v? -3/7 Let l be (-6)/9*(-12)/32. Which is the smallest value? (a) -0.1 (b) -1/2 (c) l b Suppose -2*y = 1 + 7. Which is the third smallest value? (a) y (b) 4 (c) 2/3 b Let o be ((-2)/(-78))/(17/102). What is the biggest value in -0.4, o, 2, -2? 2 Let d = 15 - 15.5. Let m = d + 0.2. What is the biggest value in 0.2, -0.4, m? 0.2 Let w = 0.25 - 0.05. Let q = w - 0.3. Let x = -0.1 + 1.1. What is the second biggest value in 0.2, x, q? 0.2 Let b = -1135/9 + 125. Let k = -47/18 - b. What is the biggest value in k, -1, 0.5? 0.5 Let u = 79 - 79. Which is the third smallest value? (a) 0.2 (b) u (c) -15 (d) 0.4 a Let j(d) = d**3 - 5*d**2 - 3*d - 14. Let r be j(6). Which is the third smallest value? (a) -2/3 (b) r (c) -5 b Let u = -7 - -6.7. Let t = 14 - 14.2. Let n = t - u. Which is the second smallest value? (a) 3 (b) n (c) -0.5 b Let w = -297824/172637 - -6/5953. Let j = -524/203 - w. Which is the third smallest value? (a) j (b) -1 (c) -0.05 c Let s = -10/3 - -11/6. Let h = 8 - 54/7. Which is the third biggest value? (a) 4 (b) h (c) s c Let x(p) = p**2 + 2*p - 5. Let d be x(-4). Let z be ((-12)/(-10))/d*-5. Let w be 8 - 1 - (0 - z). What is the third smallest value in w, -1, -0.5? w Let q = -0.06 + -4.94. Suppose 0 = -2*j - 0*j + 5*d + 17, 0 = -4*j - 5*d - 11. Let n be 0/j + 16/40. What is the third smallest value in q, 2/19, n? n Let p be 3/2*24/108. Let n = 0.01 - -2.99. Let z = -0.01 - 1.99. Which is the third smallest value? (a) p (b) n (c) z b Let v = -823/11 - -75. Let n be 2/(-9) + 60/27. Let h be (0 - 1 - n)/1. What is the second biggest value in h, v, -4? h Let q = 60 - 477/8. Which is the second biggest value? (a) -1/7 (b) q (c) 4 b Let x = -6 + 5.6. Let t = x - 0.1. Let s = t + 5.5. Which is the second smallest value? (a) -0.5 (b) s (c) -1 a Suppose -4*u + j = -4*j + 9, -7 = 5*u - 2*j. Let q = -6 - -4. Let t = 848/11 - 77. What is the third biggest value in q, u, t? q Let x be 39/(-145) + (-4)/(-20). Let s be ((-12)/(-87))/(5/17). Let g = s + x. What is the second smallest value in -5/6, g, -0.2? -0.2 Let v = 1 - 0. Let n = v - 2. Let r = 5 + n. Which is the third smallest value? (a) -2/3 (b) r (c) 0.4 b Let g = -1.37 - -1.3. Let w = -3.93 + g. What is the biggest value in -1/4, w, 2/7? 2/7 Let w = 55 - 109/2. Let r = 174/11 + -16. What is the second smallest value in r, 2, w? w Let f be -1 - 1/(1/(-3)). Suppose -n = -0*n + f. Which is the third smallest value? (a) n (b) 0.4 (c) 1 c Let h = -18.9 + 2.9. Let w = 23 + h. Let m = -10 + w. What is the second biggest value in 1, m, 1/3? 1/3 Let t be (-4 - -1) + -2*1. Let s be 6/40 - (-2)/t. Let w = -0.2 + -0.3. Which is the biggest value? (a) w (b) s (c) -1/7 c Let s = -1226/357 + 60/17. Which is the smallest value? (a) -2 (b) -0.5 (c) s a Let a be (-1 + 74/(-2))/3. Let s = a + 13. What is the third biggest value in s, 0, 3/2? 0 Let d = 0.05 + 0.35. Suppose 0 = 3*m - m - 2*i + 4, i = -2. Which is the second smallest value? (a) d (b) m (c) -1/4 c Let f be ((-7)/21)/((-38)/(-12)). What is the third biggest value in 1/3, -1/2, f? -1/2 Let r = 5.169 + -0.169. Which is the smallest value? (a) -34 (b) 0.5 (c) r a Let h = -46 + 321/7. What is the biggest value in h, 0, 11? 11 Let g = 1.43 + 3.57. Which is the third smallest value? (a) g (b) 9 (c) 1/4 b Let o = -1/10 - 1/15. Let r = o - -1/2. Let m(i) = -5*i**2 + 1. Let v be m(-1). What is the third biggest value in 0, r, v? v Let o = -13 + 12.6. Which is the smallest value? (a) o (b) -5 (c) -0.5 b Let x = 15 + -10. Let k = 50 - 253/5. What is the third smallest value in x, k, 0.5? x Let k = 587/7 - 84. What is the smallest value in k, 2, -1/3? -1/3 Let u(q) = -q**3 + 9*q**2 + 3. Let p be u(9). Which is the third biggest value? (a) -1 (b) -0.3 (c) p a Let k be ((-4)/12)/(1/(-2) - 4). What is the smallest value in k, 4, -3? -3 Let h = 179 + -892/5. What is the biggest value in -2/3, 4, h? 4 Let m = 8 + -11. Let v = 7 + m. Let d = v - 1. Which is the smallest value? (a) 0.1 (b) -4 (c) d b Let z = 659/1115 - -2/223. Which is the second biggest value? (a) -3/2 (b) 3 (c) z c Let y be -2*(3 - 14/4). Let w = -6 + 6.1. What is the second biggest value in -2/15, w, y? w Let s = 0.006 - -0.394. Let i = 0 + -1. What is the biggest value in i, s, -5/4? s Let s be ((-1)/14)/(1/(-12)). Let g = 0.07 + -6.07. Let w = -5.6 - g. What is the third biggest value in s, 1, w? w Suppose -3*h = 2*h - 10. Let r = -42 - -211/5. Which is the biggest value? (a) 0.5 (b) r (c) h c Let a = 1.1 + 0.9. Let y = -2.8 - -3. What is the third biggest value in y, 5, a? y Suppose 4*n = -3*l - 34, -l + 5*l - 27 = 5*n. Let p = n - -7. Which is the second smallest value? (a) -0.4 (b) p (c) 1/3 b Let o = 4 - 4.02. Let x = 6.98 - o. Let d = x + -8. Which is the smallest value? (a) -2/5 (b) 1/4 (c) d c Let u(n) = -n - 1. Suppose 5*r - 20 = -0. Let s be u(r). Let o = 1.5 + -2. Which is the third smallest value? (a) s (b) o (c) -0.3 c Suppose -2*d - d = 3. What is the smallest value in 4, d, 5? d Let p = 82 + -87. What is the second smallest value in -1/4, 0.4, p, -1/2? -1/2 Let a = -0.02 - -4.02. Let r be 27/(-30) - (-4)/10. What is the smallest value in r, a, -2/7? r Let v(s) be the second derivative of -23*s**3/6 - 3*s**2/2 + s. Let j be v(-3). Let t = j + -135/2. What is the smallest value in t, 1, 2/3? t Let r = -5 - -5. Suppose 20 = -5*i - r, p + 2*i = -9. Which is the second smallest value? (a) 2/9 (b) p (c) 3 a Let q = -19/18 + -4/9. Let c = 7.97 + 0.03. Let j = c - 6. What is the second biggest value in -0.4, j, q? -0.4 Let y = -0.5 - 0.5. Let j = 0.9 + y. Let v be (-2)/(-12) + (-1)/(-3). What is the second biggest value in v, j, -4? j Let m = 1 - 1.1. Let x = 23 - 18.9. Let p = -0.9 - x. Which is the smallest value? (a) p (b) -2/5 (c) m a Let a be 3/9*(-2 - 0). What is the third smallest value in 5, a, -4? 5 Let q(r) = -3*r**2 - 3*r. Let y be q(3). Let l be (-1 + 2/8)*y. Let p = l + -83/3. Which is the biggest value? (a) p (b) -1/6 (c) 2/15 c Suppose -2*z - 74 + 10 = 0. Let o = -57 - z. Let t be (4/o)/2*5. Which is the second smallest value? (a) t (b) -1 (c) 1/3 a Let y = 3 + -3. Let h be (-4)/((-6)/(-2) - 0). Which is the smallest value? (a) -0.4 (b) y (c) h c Let q = 56 + 19. Let k = 906797/11 + -82361. Let g = q - k. What is the smallest value in 0, 2, g? g Let i = 20 - 16. What is the biggest value in i, -0.4, 2? i Let q = 0.008 - -0.992. Let a = -1.94 + -0.06. What is the second biggest value in -3/5, q, a? -3/5 Let i = -2 + 2. Let m = 254 + -251. What is the third biggest value in -4, m, i? -4 Suppose 4*q = 2*p - 28, 4 = p - 5*q - 25. Let k = 0.334 - 4.334. What is the third smallest value in 2/7, p, k? p Let u = 37/198 + -5/18. Let n = -61/4 - -16. Which is the third biggest value? (a) u (b) -3/5 (c) n b Suppose -16 = v - 5*v. Let n be (-1)/v + 8/288. Which is the third biggest value? (a) n (b) -2/11 (c) -6 c Let x = -0.8 + 2.8. Let z be (3 + 2 + -11)*1. Let r be z/9*3/7. What is the biggest value in r, x, -1/2? x Let i be 0/(-6 - -2) - -3. Which is the third biggest value? (a) -3 (b) i (c) 0 a Suppose 0 = -2*h + h. What is the third smallest value in -13, h, 3? 3 Let m = -1.1 + 12.6. Let p = -11 + m. Let b = -5.3 + 5. What is the third smallest value in b, p, 0? p Let v(g) = 6*g - 6 + 4 + g**2 - 7. Let w be v(-7).
{ "pile_set_name": "DM Mathematics" }
7. Suppose q = -2*q - 18. Let a(w) = w - 6. Let s(b) = q*u(b) - 17*a(b). Let z(l) = -2*l**2. Determine z(s(t)). -2*t**2 Let y(n) = 10*n**2 - 6*n - 6. Let j(c) = 29*c**2 - 17*c - 17. Let d(q) = -6*j(q) + 17*y(q). Let u(w) be the second derivative of w**3/6 - w. Give d(u(g)). -4*g**2 Let r(s) = -108*s**2. Let v(x) = -3*x**2. Calculate r(v(i)). -972*i**4 Let w(a) = 13*a**2 + a. Let m(o) = 6*o + 6. Determine w(m(k)). 468*k**2 + 942*k + 474 Let z(j) = -453*j + 2. Let s(i) = -i**2. Determine s(z(o)). -205209*o**2 + 1812*o - 4 Let d(l) = 459*l**2 - 102*l + 51. Let k(s) = -46*s**2 + 10*s - 5. Let h(w) = 5*d(w) + 51*k(w). Let b(z) = z**2. Determine h(b(v)). -51*v**4 Let w(a) = 3*a**2 - a**2 - a**2. Let n(h) = -5*h**2. Determine n(w(y)). -5*y**4 Let i(z) be the third derivative of -1/12*z**5 - 4*z**2 + 0*z**3 + 0*z + 0*z**4 + 0. Let a(x) = -x. Give a(i(o)). 5*o**2 Let t(i) = -i**2 - 7*i**2 + 6*i**2 + 3*i**2. Let q(h) = 16*h**2. Give t(q(b)). 256*b**4 Let u(z) = 2*z. Let h(b) be the first derivative of -1 + 4*b - 1/2*b**3 + 0*b**2. Let j(n) be the first derivative of h(n). What is j(u(i))? -6*i Let b(g) be the second derivative of g**3/6 + 15*g. Let s(a) = -a**2 + a - a. Give s(b(h)). -h**2 Let x = -8 + 17. Let l(z) = -7*z + 1 + x*z - 1. Let c(a) = -5*a**2. Calculate l(c(y)). -10*y**2 Let m(n) = 7*n**2 - 6*n - 6. Let h(i) = i**2 - i - 1. Let q(o) = -6*h(o) + m(o). Let j = 8 - 6. Let c(a) = 6*a - a - j*a - a. Determine q(c(t)). 4*t**2 Let p(w) = -23*w**2. Let j(x) = -12*x**2. What is p(j(h))? -3312*h**4 Let j(q) = 7*q**2. Let b(l) = 68*l**2. Determine j(b(m)). 32368*m**4 Let u(f) be the third derivative of f**5/15 + 24*f**2. Let t(a) = -9*a**2. What is t(u(b))? -144*b**4 Let h(s) = s. Let q(i) be the second derivative of i**6/360 - i**3/2 - 3*i. Let y(n) be the second derivative of q(n). Calculate y(h(w)). w**2 Let b(p) = 247*p. Let s(v) = v**2. What is b(s(o))? 247*o**2 Let d(g) be the first derivative of g**3/3 - 108. Let f(a) be the first derivative of -3*a**2/2 + 1. Give d(f(o)). 9*o**2 Let r be (-2 + -1 + 1)/(-3). Let j(q) be the first derivative of -1 + 0*q + r*q**3 + 0*q**2. Let x(u) = u. What is j(x(s))? 2*s**2 Suppose d + s + 6 - 2 = 0, 3*d + 22 = -5*s. Suppose 2*c = d + 3. Let g(q) = -q + 0*q - 4*q - c*q. Let a(p) = 2*p**2. What is g(a(k))? -14*k**2 Let g(u) = 2*u**2. Let o(a) = 4050*a**2. What is g(o(k))? 32805000*k**4 Let i(p) = -13*p + 9. Let o(z) = 6*z - 4. Let b(x) = 4*i(x) + 9*o(x). Let t = 24 + -19. Let a(v) = 60 - t*v - 60. Give a(b(l)). -10*l Let a(h) = -84*h. Let p(c) = c. Calculate a(p(k)). -84*k Let y(b) = b**2. Let z(r) = 11*r**2 - 2. What is z(y(q))? 11*q**4 - 2 Let g(c) = 5*c - 5. Let l(y) = -11*y + 11. Let q(k) = 13*g(k) + 6*l(k). Let w(s) = -1. Let b(a) = q(a) + w(a). Let j(z) = -2*z**2 + 0*z + 0*z. Give b(j(p)). 2*p**2 Let v(z) = -z. Let q(x) = x. Let l(p) = 5*p. Let o(s) = 6*l(s) - 25*q(s). What is v(o(b))? -5*b Let s(y) = -17*y + 9. Let q(z) = 4*z - 2. Let p(d) = -9*q(d) - 2*s(d). Let a(j) be the first derivative of 4*j**3/3 + 1. What is p(a(g))? -8*g**2 Let k(y) = -2*y**2. Let w(n) = 3*n**2 + 17. What is w(k(b))? 12*b**4 + 17 Let o(g) = -10*g. Let h(u) = -u**3 + 5*u**2 - 3*u - 2. Let v be h(4). Let l(t) = -2 + 2 + t**v. What is l(o(p))? 100*p**2 Let z(i) = 18*i**2. Let l(y) = -29*y - 2. Give z(l(k)). 15138*k**2 + 2088*k + 72 Let x(d) = -4 - 2*d + 4*d + 4. Let u(p) = -7*p. Determine u(x(h)). -14*h Let f(r) = -39*r. Let u(g) = 40*g. Let h(v) = -2*f(v) - 3*u(v). Let k(x) = -x. Calculate k(h(m)). 42*m Let x(r) be the third derivative of r**6/360 + r**4/24 - 2*r**2. Let a(w) be the second derivative of x(w). Let k(l) = -l**2 - 5*l**2 + 4*l**2. What is a(k(n))? -4*n**2 Let k(d) be the first derivative of d**4/8 - 3*d**2/2 + 4. Let u(w) be the second derivative of k(w). Let a(h) = 2*h**2. Calculate u(a(m)). 6*m**2 Let f(n) = 6*n. Let d(t) = -t**2 - t + 1. Let h(l) = -6*l**2 + l - 1. Let s(a) = d(a) + h(a). What is s(f(z))? -252*z**2 Let y(v) be the third derivative of v**4/12 - 4*v**2. Let p(i) = 8*i**2. Determine y(p(j)). 16*j**2 Let n(r) = 2*r**2. Let s(t) = 2*t + 3. Let k(q) = -2*q - 8. Let i be k(-3). Let b(f) = f + 2. Let m(o) = i*s(o) + 3*b(o). Give n(m(h)). 2*h**2 Let p(f) = 3*f. Let m(h) = 97*h**2 + 2*h. Calculate m(p(c)). 873*c**2 + 6*c Let r(u) = -u**2. Let m(v) = 11110*v. What is r(m(l))? -123432100*l**2 Let q(t) be the second derivative of t**3/3 - 3*t + 31. Let l(h) be the third derivative of 7*h**5/30 + h**2. Determine q(l(w)). 28*w**2 Let r(k) = -46 - 5*k + 46. Let d(m) be the second derivative of 7*m**3/6 - 2*m. Let w(j) = -13*j. Let i(z) = -11*d(z) - 6*w(z). Give r(i(c)). -5*c Let b(y) be the second derivative of -1/6*y**4 + 0 - 2*y + 0*y**3 + 0*y**2. Let o(r) be the third derivative of r**5/60 - 2*r**2. Calculate b(o(t)). -2*t**4 Let i(n) be the first derivative of 2*n**3/3 - 3. Let z(p) = 4*p. What is i(z(j))? 32*j**2 Let m(v) = -v. Let y(h) = -3*h - 4. Let n = -3 + 4. Let k be ((-2)/(-4))/(n/2). Let a(l) = -l - 1. Let o(u) = k*y(u) - 4*a(u). What is o(m(i))? -i Let g(r) be the third derivative of r**5/120 + r**3/3 - r**2. Let q(d) be the first derivative of g(d). Let z(b) = 3*b. Give q(z(s)). 3*s Let t(s) = -16*s. Let w(n) = -67 + n + 67. Determine t(w(d)). -16*d Let a(d) be the second derivative of d**3 - d. Let m = -2 - -4. Let q(o) = -334*o + 2*o**m + 334*o. Calculate q(a(w)). 72*w**2 Let p(b) be the third derivative of 0*b**4 + 0 + 0*b + 1/20*b**5 + 0*b**3 + 2*b**2. Let l(m) = -2*m**2. Give l(p(u)). -18*u**4 Let a(p) = -4*p**2 + p**2 + 4*p**2. Let b(t) = -28*t. Give b(a(l)). -28*l**2 Let b(o) = -o**2 - 12 + 12 - 3*o**2. Let l(n) = n. What is l(b(x))? -4*x**2 Suppose 3*x + 9 = 2*r - 7, 4*r = 3*x + 20. Let v(o) = 8*o**r + o**2 - 4*o**2. Let j(y) = -y. Calculate j(v(l)). -5*l**2 Let b(w) = w. Let z(t) = -237*t + 5. Determine z(b(p)). -237*p + 5 Let r(j) be the second derivative of j**3/6 + 4*j. Let g(v) = -2*v**2 + 5. Let l(m) = -2*m**2 + 4. Let d(q) = 4*g(q) - 5*l(q). Give r(d(x)). 2*x**2 Let z(a) = 16*a**2 + 7*a + 7. Let i(f) = 11*f**2 + 5*f + 5. Let y(w) = -7*i(w) + 5*z(w). Let p(s) = 20*s**2. Give p(y(r)). 180*r**4 Let k(p) = 8 - 8 + 2*p**2. Let m(q) = 14*q**2 - 11. Let l(v) = 5*v**2 - 4. Let j(f) = 11*l(f) - 4*m(f). Give j(k(s)). -4*s**4 Let s(z) = z + 4. Let i be s(-10). Let m(b) = -4*b**2 - 6*b. Let v(o) = -11*o**2 - 17*o. Let w(c) = i*v(c) + 17*m(c). Let d(j) = -18*j. Determine d(w(q)). 36*q**2 Let i(l) = -4*l**2. Let r(z) be the third derivative of -z**5/30 + 9*z**2. Determine r(i(f)). -32*f**4 Let c(y) = 16*y**2. Let w(h) = h - 1. Let u(r) = -1. Let t(l) = 2*u(l) - 2*w(l). Give c(t(k)). 64*k**2 Let r(l) = 10*l**2 + 4. Let g(m) = -m**2. What is g(r(p))? -100*p**4 - 80*p**2 - 16 Let j(s) be the second derivative of -s**7/504 - 7*s**4/12 + 2*s. Let u(n) be the third derivative of j(n). Let p(l) = -3*l**2. Give p(u(t)). -75*t**4 Let q(g) = -g**2 - 13*g. Let f(s) = -2*s. Let y(u) = 39*f(u) - 6*q(u). Let n(z) = -4*z. Determine n(y(v)). -24*v**2 Let h(r) = -2*r**2. Let g be ((-4)/(-3))/(-1)*3. Let u(c) = -c + 1. Let y(v) = -6*v + 4. Let t(m) = g*u(m) + y(m). What is h(t(k))? -8*k**2 Let t(q) be the second derivative of q**4/12 + q**2 - q. Let c(j) = -2*j**2 - 5. Let s(b) = -2*c(b) - 5*t(b). Let r(d) = 3*d**2. What is s(r(h))? -9*h**4 Let s(m) = -3*m**2. Let r(t) be the first derivative of 13*t**2 - 42. Give s(r(d)). -2028*d**2 Let i(f) = -214*f**2. Let l(x) = 2*x. What is l(i(t))? -428*t**2 Let s(y) = -19*y - 2. Let m(l) = -178*l**2. Determine s(m(u)). 3382*u**2 - 2 Let x(w) = -8*w**2. Let k(y) = -19*y. Give k(x(h)). 152*h**2 Let g(p) = p**2 + 3*p**2 - 2*p**2 + p**2. Let s(x) = -2*x - 3. Let c(h) = -11*h - 17. Let z(w) = -6*c(w) + 34*s(w). Give z(g(v)). -6*v**2 Let l(i) = 3*i**2. Let d(o) = -59*o**2. Determine l(d(p)). 10443*p**4 Let b(i) = 2*i**2. Let d(c) = -27823*c. Give b(d(j)). 1548238658*j**2 Let n(r) = 9*r - 8. Let t(o) = 6*o - 5. Let a = 5 + 3. Let u(m) = a*t(m) - 5*n(m). Let y(s) be the first derivative of 2*s**3/3 + 16. What is y(u(p))? 18*p**2 Let f(l) = -l + 11. Let n be f(6). Let a(r) = 2*r + 14. Let g be a(-6). Let q(u) = u**2 + 2*u**2 - n*u**g. Let b(o) = 2*o. What is b(q(d))? -4*d**2 Let h(x) = 7*x. Let j(l) = -l + 1. Let q(r) = -320*r + 384. Let d(s) = -384*j(s) + q(s). Let k(z) = 3*d(z
{ "pile_set_name": "DM Mathematics" }
+ 2 wrt d. 16200*d**3 - 301560*d**2 Differentiate -26878*m**3 - 4933 wrt m. -80634*m**2 What is the derivative of 2*g**2*p*z - 35*g**2 - 86*g*p*z + 108*p - 17*z wrt z? 2*g**2*p - 86*g*p - 17 Differentiate -2145194*k**2 - 648139 with respect to k. -4290388*k What is the third derivative of 16*h**2*k**2*r**3 + 2*h**2*k**2*r + 25*h**2*k**2 + 2*h**2*k*r**2 - 7279*h**2*r**3 - 132*h*k**2 + 2*h*r**2 + 5*h wrt r? 96*h**2*k**2 - 43674*h**2 What is the first derivative of 7*c**3 - 2*c**2 - 75*c - 512461 wrt c? 21*c**2 - 4*c - 75 Find the second derivative of f*g - 21*f*h**2 + 3*f - 1157*g*h**2 + 7628*g*h wrt h. -42*f - 2314*g Find the second derivative of -b**4 - 6219*b**3 + 39*b**2 - 4767*b + 76. -12*b**2 - 37314*b + 78 What is the third derivative of -193382*j**4 + 17554*j**2 + j - 3 wrt j? -4641168*j What is the third derivative of -13*q**5 + 216*q**4 + 18*q**3 - 36*q**2 + 4*q - 1250 wrt q? -780*q**2 + 5184*q + 108 Find the third derivative of -128436*u**3 + 47*u**2 - 367*u wrt u. -770616 Find the first derivative of 656065*k**2 - 1179925 wrt k. 1312130*k What is the derivative of -14*c**4*v - 337*c*v - 209*v - 75 wrt c? -56*c**3*v - 337*v What is the second derivative of 493655*l**3*p**3 + 92*l**3*p - 2*l**3 - 7*l**2*p - 6*l wrt p? 2961930*l**3*p Find the second derivative of -8*v**2*y**4 - 19*v**2*y + 797*v**2 - 2861*v*y**5 wrt y. -96*v**2*y**2 - 57220*v*y**3 Differentiate -582*v**2 - 15*v + 168911 wrt v. -1164*v - 15 Find the second derivative of -16*t**3*w + 20166*t**2*w + 764031*t*w wrt t. -96*t*w + 40332*w What is the third derivative of q**6 + 116*q**4 - 1112*q**3 + 3*q**2 + 6582*q + 1 wrt q? 120*q**3 + 2784*q - 6672 What is the third derivative of -839489*h**6 + 276630*h**2 - 3*h wrt h? -100738680*h**3 What is the first derivative of -9*n**4 + 1177*n**2 - 225116? -36*n**3 + 2354*n Find the second derivative of 5*a**3*t**2 + 1346*a**3 + 10*a**2*t + 2*t**5 - 34141*t**2 + 3*t wrt t. 10*a**3 + 40*t**3 - 68282 Find the second derivative of 12289*b**2*d*l**2 - 23*b**2*d - 71*b*d*l + b - 320*d*l**2 wrt b. 24578*d*l**2 - 46*d What is the second derivative of 4*i*o**3*t**2 + 11*i*o**2*t + 12*i*o**2 + 29923*i*o*t**2 - 45*i*t - 2*o**3*t - 2*o*t - 4*o - 2*t**2 wrt t? 8*i*o**3 + 59846*i*o - 4 What is the third derivative of -25046*r**4 + 1073*r**2 + 3*r wrt r? -601104*r What is the third derivative of -21*q**3*y**3 + 63*q**3 + 304*q**2*y**3 - 53*y**2 wrt y? -126*q**3 + 1824*q**2 What is the first derivative of 588*d**2 - 2858*d*w**3 + 725058*w**3 wrt d? 1176*d - 2858*w**3 Find the second derivative of 20*f**2*l**2 - 2*f**2*l + 2*f**2 - 153*f*l**2 + 2*l**2 - 195*l wrt l. 40*f**2 - 306*f + 4 Find the second derivative of 1910*b**3*d**4 + 15*b**3 + 10*b**2*d - 56*b*d**2 + 127*d wrt d. 22920*b**3*d**2 - 112*b Differentiate j**3*n*r - 1506*j**3*n + 11*j**3 - 13*j**2*n*r + 7*j*r + 1341*j with respect to n. j**3*r - 1506*j**3 - 13*j**2*r Differentiate 19*t**4 - 41314*t**2 - t - 4123934 wrt t. 76*t**3 - 82628*t - 1 Differentiate -348370*j - 86821. -348370 Find the third derivative of 2*b**4 + 1292231*b**3 - 3046649*b**2 wrt b. 48*b + 7753386 What is the second derivative of -276209*l**3 - 1172776*l wrt l? -1657254*l What is the first derivative of 19*b**4 - 5*b**3 + 754*b**2 + 2194099? 76*b**3 - 15*b**2 + 1508*b Find the first derivative of -3961439*l*u**2*x - l*u**2 + 2*l*x - 275*u**2 - 2546*u*x - 2 wrt l. -3961439*u**2*x - u**2 + 2*x Find the second derivative of -6*o*r**3 + 480*o*r + 7*o - 40525*r**3 + 6 wrt r. -36*o*r - 243150*r What is the third derivative of -79445*g**3 - 48160*g**2 - 7*g? -476670 What is the third derivative of 503250*j**4 - 85*j**2 - j + 211 wrt j? 12078000*j What is the second derivative of -28*v**2*x**3 - v**2*x**2 + 3*v**2*x - 650*v**2 + v*x**3 - 10*v*x**2 - 2*v*x + 3*x - 54 wrt v? -56*x**3 - 2*x**2 + 6*x - 1300 What is the derivative of -88*v**3 + 2*v**2 + 43*v + 169314? -264*v**2 + 4*v + 43 What is the first derivative of -2349*u**3 + 77*u + 4108199 wrt u? -7047*u**2 + 77 Differentiate -698*a*p**2 - a*p - 909*a - 37*p**2 - 9 with respect to p. -1396*a*p - a - 74*p Find the first derivative of 34948*m*o - 93941*m wrt o. 34948*m Find the second derivative of -6*h**2*q**3 + 1551*h**2 - 2*h*q**3 + 970*h*q wrt h. -12*q**3 + 3102 What is the third derivative of 2572591*h**3 + h**2 - 331217*h? 15435546 Find the third derivative of 2*l**5 - l**4 - 12090*l**3 - 227658*l**2. 120*l**2 - 24*l - 72540 What is the derivative of 24*m**3*p**3 - 6587*m**2 - 810*p**3 + 91*p**2 + 4*p wrt m? 72*m**2*p**3 - 13174*m What is the first derivative of -2*b**3*n - 2*b**3 - b**2 - 1723*b*n**2 - b*n + 193*b + 3*n**2 + 18 wrt n? -2*b**3 - 3446*b*n - b + 6*n What is the derivative of -429173*t - 412492? -429173 Differentiate 7776*p + 11931 with respect to p. 7776 Find the third derivative of 1546909*z**4 - 146418*z**2 - 3. 37125816*z Find the second derivative of -16*b**2*q**2 + 2808*b**2 + 257*b*q**2 + 37*b + 3*q**2 wrt b. -32*q**2 + 5616 Find the third derivative of -14*k**5 - 91*k**4 - 6*k**3 + 42915*k**2. -840*k**2 - 2184*k - 36 What is the third derivative of -223193*n**4 - 2*n**2 - 294*n + 125? -5356632*n Find the first derivative of 76003*n**2 - 268635 wrt n. 152006*n What is the derivative of 3094743*i**3 - 6132763? 9284229*i**2 What is the third derivative of 2*k**6 + 87*k**5 + 4*k**3 - 239368*k**2? 240*k**3 + 5220*k**2 + 24 What is the second derivative of 169*o**5 + 646*o**3 + 9*o + 21678 wrt o? 3380*o**3 + 3876*o Find the second derivative of 2371788*p**3 - 8*p + 74867 wrt p. 14230728*p Differentiate 7570*i**3 + 4*i - 381297. 22710*i**2 + 4 What is the first derivative of 1155394*l**3 - 1828861 wrt l? 3466182*l**2 Find the first derivative of -324*m*y**2 - 1441*m*y + 4492*y**2 - 19*y - 2 wrt m. -324*y**2 - 1441*y What is the third derivative of 62511*l**4 - 2*l**2 - l - 1997 wrt l? 1500264*l What is the derivative of -2*q**4 - 1067*q**3 - 80058? -8*q**3 - 3201*q**2 What is the derivative of -24073*c**4 - c**2 + 72871? -96292*c**3 - 2*c Find the second derivative of -19497*c**3 + 23662*c. -116982*c Find the second derivative of -350611*c**3*j**2 - 466*c**3*j - c + 9*j wrt j. -701222*c**3 Find the third derivative of 28*r**5 - r**4 + 59*r**3 - r**2 - 147336 wrt r. 1680*r**2 - 24*r + 354 What is the second derivative of 5021*q**2 + 36391*q? 10042 What is the second derivative of 44133*k*l**3 + 4*k*l - 77758*k + 9*l**2 wrt l? 264798*k*l + 18 Find the third derivative of 2*v**6 - 5664*v**5 + 14*v**3 - 3532719*v**2. 240*v**3 - 339840*v**2 + 84 Find the second derivative of -h*q**3 + 22532*h*q**2 - 2*h*q - 169*h - 20*q + 2 wrt q. -6*h*q + 45064*h What is the first derivative of 2201515*l**2 - 720260? 4403030*l Find the third derivative of -162*a*w**5 + 122*a*w**4 - 117*a*w**2 + 2*a - w**2 + w wrt w. -9720*a*w**2 + 2928*a*w Find the second derivative of -3500993*a**2 - 17*a - 26118. -7001986 Differentiate -61*b*g**3*w - 3*b*g*w + 24*b*g - g**3 + 3*g**2*w - 2*g*w + 673 wrt b. -61*g**3*w - 3*g*w + 24*g What is the derivative of -4038497*a**2 - 4163568? -8076994*a Differentiate -267749*j**3*s**2 - 7*j**3 - 4*s**2 - 2*s - 39125 wrt j. -803247*j**2*s**2 - 21*j**2 Differentiate -153*o**2*q - 42*o*q**3 - 211660*q**3 with respect to o. -306*o*q - 42*q**3 What is the derivative of -142062*n**3 - 192856? -426186*n**2 Find the third derivative of -517255*r**4 - 301006*r**2. -12414120*r Find the first derivative of 273*m**2*r**3 - 4*m**2 - 6563*m + 293*r**3 - 2 wrt r. 819*m**2*r**2 + 879*r**2 Find the first derivative of 24*m**3*y + 100960*m**3 + 12492*y wrt y. 24*m**3 + 12492 Find the second derivative of 20*l**2*m**3*y**2 - 10*l**2*m**3*y + l**2*m*y + 18*l*y + 307*m**3*y**2 - 2*m**2*y - 3*m**2 wrt y. 40*l**2*m**3 + 614*m**3 Find the third derivative of 1259357*l**4 + 133931*l**2 + 2*l. 30224568*l Find the first derivative of 1818*l**2*n**2 + 3269*l**2 - 4*n**2 - 7*n - 43 wrt n. 3636*l**2*n - 8*n - 7 Find the second derivative of -175*v**5 - 1461*v**3 + 2*v - 532 wrt v. -3500*v**3 - 8766*v What is the third derivative of j**6 + 12*j**4 + 1919*j**3 + 317*j**2 - 2*j + 36 wrt j? 120*j**3 + 288*j + 11514 What is the third derivative of l**3*n*u**2 - 4*l**3*u**2 + 57441*l**3 + 13*l**2*n - 3*l**2*u + l*u**2 + 92 wrt l? 6*n*u**2 - 24*u**2 + 344646 What is the second deriv
{ "pile_set_name": "DM Mathematics" }
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True Is 172759 a prime number? True Is 24143 composite? True Is 6637 prime? True Is 21215 composite? True Is 4871 prime? True Is 20465 prime? False Is 89617 composite? True Is 285599 prime? True Is 11477 a composite number? True Is 550217 prime? False Is 76562 prime? False Is 6467 a prime number? False Is 32831 composite? False Is 62969 a prime number? True Is 34097 a prime number? False Is 13579 a composite number? True Is 1124393 a prime number? False Is 600029 composite? True Is 87583 prime? True Is 40085 prime? False Is 389 a composite number? False Is 183 a composite number? True Is 109627 a prime number? False Is 9763 a prime number? False Is 833969 prime? False Is 34094 prime? False Is 6067 a prime number? True Is 277703 prime? True Is 8147 a composite number? False Is 254119 a composite number? False Is 11302 prime? False Is 60077 prime? True Is 72515 a composite number? True Is 44095 composite? True Is 61219 prime? False Is 196201 a prime number? True Is 27415 a prime number? False Is 557261 prime? True Is 139703 prime? True Is 270563 a prime number? True Is 53017 composite? False Is 331 a composite number? False Is 1516607 a composite number? False Is 11021 a prime number? False Is 76367 prime? True Is 6521 a prime number? True Is 68455 prime? False Is 55729 a composite number? True Is 230999 composite? False Is 28387 a composite number? False Is 85 composite? True Is 28345 composite? True Is 7451 prime? True Is 913037 prime? True Is 126703 composite? False Is 25873 a composite number? False Is 254739 composite? True Is 1693 a composite number? False Is 3799 composite? True Is 58459 a composite number? True Is 8939 a prime number? False Is 19519 a composite number? True Is 523007 composite? False Is 5807 composite? False Is 14503 composite? False Is 36433 a prime number? True Is 13751 a composite number? False Is 20095 a composite number? True Is 44783 a composite number? True Is 175481 composite? False Is 9781 composite? False Is 133573 a composite number? True Is 8323617 prime? False Is 1511 prime? True Is 8501 a composite number? False Is 2813 composite? True Is 31471 prime? False Is 2231 prime? False Is 6121 a prime number? True Is 62171 a composite number? False Is 91717 a prime number? False Is 54037 prime? True Is 330887 a composite n
{ "pile_set_name": "DM Mathematics" }
-283. Let c = -37 + f. Is 13 a factor of c? False Let a be 2 + 1 + (-7)/7. Suppose 2*d + 42 = 4*q, -q = 3*q - 5*d - 27. Suppose w - q = l, -a*w - 43 = -5*w + 4*l. Is w a multiple of 9? True Suppose -5*d + 554 = 2*h - 562, -4*h + 900 = 4*d. Suppose 2*w - 5*w + d = 0. Suppose 5*f - w = 91. Does 13 divide f? False Let n(p) = p**3 + 6*p**2 + 2*p + 7. Let z = -18 + 13. Is n(z) a multiple of 10? False Suppose -5*d - 8 + 3 = 0. Let k = d + 5. Suppose 2*g - g - 30 = -h, -4*g = -k*h - 112. Does 13 divide g? False Is 15 a factor of (6/1)/(4/50)? True Let r(s) = -s**2 + 8*s - 2. Let y(x) = x**3 + 5*x**2 + x - 5. Let z be y(-4). Is r(z) even? False Let r = -46 - -15. Let q = 0 - r. Is q a multiple of 18? False Suppose 3*h + 17 = 4*y + 68, -4*h - 4*y + 68 = 0. Let v = h + 24. Is v a multiple of 13? False Suppose -5*u + 31 = 6. Suppose 0 = -f + u*f - 76. Is f a multiple of 6? False Does 24 divide (8*6)/(22/55)? True Let b(y) = 2*y**2 - 8*y - 33. Is b(-7) a multiple of 11? True Suppose 9*i = 4*i + 60. Does 8 divide i? False Let o(g) = -2*g**2 - 5*g + 7. Let s be o(-5). Let f(j) = 8*j + 2. Let p be f(4). Let y = s + p. Is 8 a factor of y? True Suppose -5*z + 4*w = -690, 6*w - 414 = -3*z + w. Does 15 divide z? False Suppose 5*x + 145 = 3*d, -2*d = -0*d - 3*x - 97. Is d a multiple of 10? True Let r(z) = -z**2 + 12*z - 18. Is 18 a factor of r(6)? True Let d = 15 - 4. Is 5 a factor of d? False Suppose -5 = 13*v - 14*v. Suppose -124 + 19 = -v*y. Is y a multiple of 6? False Does 5 divide 2 + (-2 - -4) - -35? False Let v = -67 + 94. Is v a multiple of 9? True Let l be 0/(6/(-9)*-3). Suppose j - 5*j + 72 = l. Does 6 divide j? True Let q(y) be the second derivative of 0*y**2 - 4/3*y**3 - y + 0. Is q(-2) a multiple of 16? True Let t = 29 + -14. Suppose a + 2*a = t. Suppose -2*l + a*l = 39. Is 13 a factor of l? True Suppose 2*k = 4*t - 28, 2*k + 17 = -2*k - 5*t. Let n = k - -19. Does 11 divide n? True Let s be 4*-3*3/(-9). Suppose -s*q = -q + 9. Is ((-16)/(-6))/(q/(-18)) a multiple of 8? True Suppose 2065 = 5*n + 4*v, -10*v + 5*v = 2*n - 826. Is n a multiple of 16? False Suppose l = 4*l - 234. Is 13 a factor of 2/(-13) - (-2586)/l? False Let s(k) be the first derivative of k**3/3 + 3*k**2/2 - 12*k - 1. Is s(-10) a multiple of 13? False Let n be 51 + (4 + -3 - 2). Let w = -25 + n. Does 14 divide w? False Is 16 a factor of (-958)/(-14) + (-6)/14? False Does 6 divide (835/90 + 6/27)*6? False Suppose 5*b - 10 = 0, -a - 4*a - b = -482. Is a a multiple of 32? True Suppose -26 = -2*g + 4*j, 3*g + 5*j = g - 19. Suppose -i + 7*v = 2*v - 1, -111 = 4*i + g*v. Is i/2*1*-1 a multiple of 6? True Suppose 0 = -u - 2*u - 6, 4*u + 38 = 2*m. Suppose 3*h = -m, 4*h = -3*r - 0*h - 8. Is 2 a factor of r? True Suppose 3*u + 2*z - 85 = -2*u, 4*z - 5 = u. Does 5 divide u? True Let l(f) = -4*f + 4. Let j be l(-4). Let d = j + -5. Does 5 divide d? True Let f be (0 + 0)/(-8 - -6). Suppose -16 = 4*b - f*b. Let x = 10 + b. Is x a multiple of 6? True Let h(t) = 6*t**2 - 2*t + 2. Let n be 38/(-6) - (-6)/18. Let a be (1/3)/((-1)/n). Is h(a) a multiple of 22? True Let h = 152 - -55. Suppose 0 = -3*n - 18 + h. Is 21 a factor of n? True Suppose 2*n + 10 = 7*n. Suppose -4*q + n*q + 52 = 4*r, 2*r = -4*q + 74. Is 10 a factor of q? False Suppose -12*w = -11*w - 126. Is w a multiple of 44? False Let s be 2/4 + 6/4. Suppose 0*q - q - 17 = -f, -3*f + 76 = s*q. Does 7 divide f? False Suppose -5*z - 15 - 25 = 0. Let y = -1 + z. Let s = y + 27. Does 11 divide s? False Suppose 44 = 4*g + 4*n, 2*g + g - 4*n - 5 = 0. Is g a multiple of 2? False Let n(f) = f + 8 + f**2 - 1 - 5*f - 2. Let z be n(4). Suppose 166 = z*p - 49. Is 15 a factor of p? False Let l be -1*(6*2)/(-2). Let q be 34/8 - 4/16. Let p = l - q. Is 2 a factor of p? True Suppose 2 = u - 30. Suppose 3*r - 90 = 2*h, -u = -r + 5*h - 2. Is r a multiple of 30? True Let i(b) = 3*b**3 - 5*b**2 - 4. Let v be i(4). Suppose w + 3*w + v = 0. Let l = w - -53. Is l a multiple of 17? False Suppose -n - n + 30 = 0. Suppose 3*m = 3*y + n, -5*y + 6*y + 17 = 4*m. Let o(f) = 34*f**2. Is 13 a factor of o(y)? False Let z = 45 + -25. Suppose -m + 3*m = z. Is 10 a factor of m? True Let b be (-388)/1*(-5)/10. Let q be 3/15 + b/5. Suppose 3*r + 0*r + q = 5*m, 2*m - 15 = r. Is m a multiple of 6? True Suppose -4*m + 13 = -m + q, 0 = m + 5*q - 23. Suppose -f - m = -5*n + 6, 4*f = -2*n + 74. Suppose 0 = -5*z + 19 + f. Does 3 divide z? False Suppose -3*q + q = l - 130, 2*l + 2*q = 264. Suppose -3*x + 19 = -l. Does 17 divide x? True Let w(h) = h**2 - h - 1. Let d be w(-1). Is 5 a factor of 9 - -2 - (0 + d)? True Let p(w) = -2*w**3 - 6*w**2 - 6*w - 4. Let y be p(-4). Suppose -2 = 3*j + 3*h - 32, -5*j = 3*h - y. Does 5 divide j? False Let z = -46 - -108. Is 12 a factor of z? False Suppose -5*o - 11 + 16 = 0. Is 8 a factor of ((-5)/(-5))/(o/10)? False Suppose -2*r - 7 = -51. Is 22 a factor of r? True Suppose -4*g - 111 = -7*g. Does 13 divide g? False Let s = 1 + -1. Suppose 2*c - 8 = -s*c. Is ((-10)/3)/(c/(-36)) a multiple of 16? False Is ((-3)/24*-70)/(3/12) a multiple of 6? False Let t(p) = p**2 - 5*p - 10. Let a be ((-2)/(-6))/((-4)/(-84)). Is 4 a factor of t(a)? True Let g(z) = 0 + 9*z + 0. Let u be g(5). Suppose 4*b - 35 = -5*r, -5*r + u = -b + 10. Does 7 divide r? True Suppose 52 = 15*j - 11*j. Is 10 a factor of j? False Let a = 4 + 24. Is a a multiple of 14? True Let w(s) = -5*s**2 + 2*s - 6. Let c be w(3). Let k = c - -78. Does 33 divide k? True Suppose 4*l = w - 3, -w - 2*w = 3*l - 9. Is (w - -46) + (-2 - -3) a multiple of 25? True Let j(k) = k**3 + k**2 + 150. Let w be j(0). Suppose 6*x + w = 9*x. Does 25 divide x? True Suppose 2*w + 29 = c, w - 1 = 2. Suppose 0 = -5*p - 0*p + c. Suppose 148 = p*n - 2*n + 3*h, 4*n = h + 132. Does 16 divide n? True Let c = 20 - 44. Is 10 a factor of -1 - (1 + 1 + c)? False Suppose 4*w + 2*i = 2*w + 8, i + 1 = 0. Suppose -3*y + 4*z - 3 = -0*z, 2*z = w*y - 9. Suppose r - 104 = -y*r. Is 12 a factor of r? False Let v be ((-9)/2)/((-2)/40). Suppose -4*t + r = 24 - 144, 3*t + r - v = 0. Let p = t + -14. Is 8 a factor of p? True Suppose -g - 90 = -0*h + 5*h, 3*g + 281 = -4*h. Let b = -55 - g. Is b a multiple of 20? True Suppose 0 = 4*d - 5*w - 20, -3*d + 2*w = -0*d - 8. Suppose r = 3*a + 23, 2*r + d*a - 52 = 4*a. Is r a multiple of 12? False Suppose -7*s = -3*s - 172. Is 13 a factor of s? False Suppose 0 = g, -r - 4*g + 61 = -2*g. Is r a multiple of 13? False Let x(q) = -5*q + 2 - q - 2*q. Let g = -12 - -9. Does 13 divide x(g)? True Let w(y) = 257*y - 1. Let a be w(-1). Does 8 divide a/(-24) + (-1)/(-4)? False Let o(h) = h**2 + 5*h - 9. Let v be o(-7). Suppose 2*b + d = -8, 3 = -v*b - 5*d - 27. Is 2/(b + 40/19) a multiple of 19? True Let r(l) = -l**2 + 16*l + 4. Suppose 3*p + x = 2*x + 39, 5*p - 65 = -3*x. Is 23 a factor of r(p)? False Let a(r) = -r**3 - 9*r**2 - 2*r - 5. Does 2 divide a(-9)? False Let k(l) = -4*l + 2. Suppose -5*c - 6 - 14 = 0. Does 9 divide k(c)? True Suppose 6*u = 2*u + 172. Is 19 a factor of u? False Let b = 14 - 9. Suppose 0 = -4*r + 3*w + 10 + b, 0 = r + 3*w - 15. Suppose -3*j + r*l + 74 = 2*l, 4*j + 3*l = 132. Is j a multiple of 15? True Let m(u) = -2*u - 11. Let y(c) = c + 5. Let w(z) = 6*m(z) + 15*y(z). Is 16 a factor of w(4)? False Let c(j) = -j + 10. Let m be (-8)/(-12)*-3 - 3. Does 4 divide c(m)? False Let h(f) = f - 4. Let o = 6 - -2. Let m be h(o). Suppose -u + m*k + k + 29 = 0, 4*k = -5*u. Is 3 a factor of u? False Let o = 249 + -126. Suppose o = -2*n + 5*n. Is 14 a factor of n? False Suppose -4*y = -76 - 44. Does 7 divide y? False Suppose -2*v - 2*v = 5*m - 120, -m - 2*v + 30 = 0. Is 7 a factor of m? False Let x = 21 - 5. Let n be (x/24)/((-2)/(-27)). Let a = n + 24. Is 9 a factor of a? False Let l(o) = 4*o**3 - o**2 - 5*o + 2. Is l(2) a multiple of 5? True Let l(q) = q**2 + 5*q - 13. Let p be l(-8). Suppose -b - 6 = -v + p, -4*b - 90 = -5*v. Does 5 divide v? False Let p(m) = -2*m + 10. Let r be p(-5). Suppose -3*g - 4 + 64 = 0. Suppose -5*u + g + r = 0. Is u a multiple of 4? True Is 7*((-152)/(-7) + -2) a multiple of 21? False Suppose -7 = -5*u + 3. Suppose -j + u = 0, -1 = f - 4*j + 2. Is 5 a factor of f? True Let o(z) = -z**2 + 5*z + 1. Let s be o(5). Suppose 0*n + n = -2*m - s, 3*m + 3*n - 3 = 0. Does 18 divide 3*(
{ "pile_set_name": "DM Mathematics" }
637 prime? False Is 2329 prime? False Is 380731 a composite number? True Is 1597 prime? True Is 24481 a composite number? False Is 20327 a composite number? False Is 9271 composite? True Is 35201 composite? False Is 4647 composite? True Is 1847 composite? False Is 41703 a prime number? False Is 34031 a prime number? True Is 28321 a prime number? False Is 152593 a prime number? False Is 325589 composite? True Is 64489 a composite number? False Is 188506 a composite number? True Is 4709 prime? False Is 25127 a composite number? False Is 11721 prime? False Is 3643 a composite number? False Is 28099 a prime number? True Is 77137 a composite number? False Is 2173 a prime number? False Is 15397 a composite number? True Is 44683 prime? True Is 8039 composite? False Is 128377 prime? True Is 5737 prime? True Is 254069 a prime number? False Is 378802 a prime number? False Is 992941 a prime number? True Is 456577 prime? False Is 340573 a composite number? False Is 40669 prime? False Is 4006 a composite number? True Is 9143 a prime number? False Is 32311 a prime number? False Is 17517 a composite number? True Is 2071 composite? True Is 3821 a prime number? True Is 1931 a prime number? True Is 419861 prime? False Is 807 a composite number? True Is 2149529 a prime number? False Is 77863 composite? False Is 115301 prime? True Is 1154759 a composite number? True Is 10189 a composite number? True Is 29789 composite? False Is 69365 a prime number? False Is 701 a prime number? True Is 14961 a prime number? False Is 2048663 prime? True Is 1213907 composite? False Is 31301 prime? False Is 484439 a composite number? False Is 98621 composite? False Is 84603 prime? False Is 3119 a composite number? False Is 67835 prime? False Is 21121 a composite number? False Is 87083 prime? True Is 7369 prime? True Is 176123 composite? False Is 3659 a composite number? False Is 23099 composite? False Is 13042 composite? True Is 20419 prime? False Is 473 prime? False Is 8501 a prime number? True Is 6117 prime? False Is 1626005 composite? True Is 345491 a composite number? True Is 15053 a prime number? True Is 142663 composite? True Is 4783 a prime number? True Is 11467 prime? True Is 4285 a prime number? False Is 55457 a composite number? False Is 39869 composite? False Is 33227 prime? False Is 56249 a composite number? False Is 13323 a composite number? True Is 1096853 a composite number? False Is 319489 composite? False Is 1416739 prime? True Is 375407 a prime number? True Is 76267 composite? True Is 681673 a composite number? False Is 4481 a composite number? False Is 12661 a prime number? False Is 8419 a composite number? False Is 7367 a prime number? False Is 152777 prime? True Is 444497 a composite number? True Is 63229 prime? False Is 119 a composite number? True Is 270619 prime? True Is 356657 prime? False Is 167249 composite? False Is 57829 prime? True Is 8657 prime? False Is 11777 a prime number? True Is 4285247 prime? True Is 913591 composite? True Is 15814 prime? False Is 26099 composite? False Is 91853 prime? False Is 19181 a prime number? True Is 54211 a composite number? True Is 2720347 a composite number? True Is 25019 a prime number? False Is 89779 prime? True Is 43174 a composite number? True Is 26899 a composite number? True Is 4054 a composite number? True Is 142739 composite? True Is 123991 prime? False Is 194789 composite? True Is 147977 prime? True Is 3854545 prime? False Is 1238817 a composite number? True Is 12661 a prime number? False Is 2671 a composite number? False Is 3716589 a composite number? True Is 23341 a prime number? False Is 12381 composite? True Is 249877 prime? False Is 22121 prime? False Is 6385 a composite number? True Is 7133 composite? True Is 6623 a composite number? True Is 5961 prime? False Is 945833 prime? False Is 12287 prime? False Is 1753 prime? True Is 571517 a composite number? True Is 54647 a prime number? True Is 17257 a composite number? False Is 4463239 a composite number? True Is 123227 a prime number? False Is 1384363 a prime number? False Is 57881 a composite number? False Is 321569 a prime number? True Is 231733 a prime number? False Is 262617 prime? False Is 5671 a prime number? False Is 110809 composite? True Is 163 a prime number? True Is 768949 prime? False Is 365917 composite? True Is 3407 a prime number? True Is 985399 a prime number? True Is 907 a composite number? False Is 1635274 prime? False Is 467 prime? True Is 66617 prime? True Is 634093 a composite number? True Is 247861 a composite number? True Is 7603 prime? True Is 37243 composite? False Is 484465 composite? True Is 11723 a prime number? False Is 165661 prime? False Is 22307 a prime number? True Is 144407 composite? False Is 3883 prime? False Is 438397 a composite number? True Is 48973 a prime number? True Is 1596107 prime? True Is 1583 composite? False Is 1137 composite? True Is 95345 prime? False Is 2767 a composite number? False Is 28929 prime? False Is 60317 prime? True Is 20507 prime? True Is 262093 prime? False Is 13739 prime? False Is 866707 composite? False Is 192091 a prime number? True Is 150343 a prime number? True Is 58385 a prime number? False Is 129803 composite? False Is 98849 composite? False Is 22331 composite? True Is 585547 a composite number? False Is 163517 composite? False Is 18079 a prime number? False Is 3957 prime? False Is 42095 prime? False Is 7393 a composite number? False Is 285609 a composite number? True Is 324781 a prime number? True Is 15901 prime? True Is 10063 prime? False Is 33563 a composite number? False Is 11567 a prime number? False Is 301813 a prime number? True Is 39079 prime? True Is 1207897 prime? False Is 314383 a composite number? True Is 3221 prime? True Is 18119 prime? True Is 201098 a composite number? True Is 10531 a composite number? False Is 132911 composite? False Is 3957 composite? True Is 556159 prime? True Is 2321 prime? False Is 2657 a prime number? True Is 15557 composite? True Is 50213 prime? False Is 20173 prime? True Is 294551 a prime number? True Is 115 a composite number? True Is 3158 composite? True Is 401173 composite? False Is 643677 composite? True Is 438703 composite? True Is 27121 composite? True Is 440827 a prime number? False Is 49366 a prime number? False Is 2903 a composite number? False Is 3641 a composite number? True Is 28277 composite? False Is 187 a prime number? False Is 163 a prime number? True Is 57119 a composite number? False Is 13963 prime? True Is 1280671 composite? True Is 23101 prime? False Is 20681 a composite number? False Is 3761 prime? True Is 692821 a composite number? False Is 81407 composite? True Is 1693529 a composite number? False Is 141761 prime? True Is 37427 a prime number? False Is 8263 composite? False Is 116867 a prime number? True Is 116953 prime? True Is 130861 prime? False Is 155083 a composite number? False Is 487507 a composite number? False Is 25409 a prime number? True Is 27427 composite? False Is 363211 a prime number? True Is 3239 prime? False Is 467 a composite number? False Is 18659 a prime number? False Is 44059 prime? True Is 226813 a composite number? False Is 497 prime? False Is 6469 a composite number? False Is 10529 composite? False Is 3785 a prime number? False Is 1101 prime? False Is 154561 composite? True Is 8857 composite? True Is 1848403 a composite number? True Is 65477 prime? False Is 2083799 a composite number? False Is 379003 a composite number? True Is 55231 a composite number? True Is 499391 prime? True Is 467353 prime? True Is 211811 a prime number? True Is 26443 a composite number? True Is 1522 composite? True Is 36323 prime? False Is 5087 a composite number? False Is 314257 composite? False Is 30269 composite? False Is 7411 a composite number? False Is 79966 a prime number? False Is 92987 prime? True Is 2328163 a composite number? True Is 2965 composite? True Is 9791 a composite number? False Is 17026 a composite number? True Is 887 a composite number? False Is 2051537 a prime number? True Is 104227 composite? True Is 5269 prime? False Is 30211 prime? True Is 1235363 a prime number? True Is 62597 a composite number? False Is 46047 a composite number? True Is 101589 a composite number? True Is 297679 prime? False Is 1195
{ "pile_set_name": "DM Mathematics" }
placement from nlnllwndnrd. What is prob of picking 1 l and 3 n? 2/55 What is prob of picking 1 f and 2 j when three letters picked without replacement from {p: 1, j: 4, c: 9, f: 2, d: 4}? 1/95 Two letters picked without replacement from uuivviivuuuxvixvxvv. Give prob of picking 1 x and 1 i. 4/57 Four letters picked without replacement from rttrrytr. What is prob of picking 1 y, 1 r, and 2 t? 6/35 Four letters picked without replacement from jjvvjvjmvv. Give prob of picking 1 m, 1 j, and 2 v. 4/21 What is prob of picking 2 m when two letters picked without replacement from {v: 1, j: 2, h: 3, i: 10, m: 3}? 1/57 Calculate prob of picking 2 t when two letters picked without replacement from tbbbybbbkbkybybt. 1/120 Calculate prob of picking 1 c and 3 e when four letters picked without replacement from {e: 4, t: 1, c: 1, z: 5, x: 1}. 4/495 Four letters picked without replacement from {g: 7, c: 6, a: 1}. Give prob of picking 4 g. 5/143 Calculate prob of picking 2 u when two letters picked without replacement from uuuu. 1 Four letters picked without replacement from qdqqdqdqqdqqd. What is prob of picking 2 d and 2 q? 56/143 What is prob of picking 1 f and 1 k when two letters picked without replacement from dfadavaeffakkfefefaf? 7/95 Calculate prob of picking 3 l when three letters picked without replacement from {x: 11, k: 2, l: 6}. 20/969 Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {u: 1, y: 1, e: 1, i: 2, r: 1, h: 1}. 1/21 Four letters picked without replacement from rrqrrqrrrqrqrrqqrr. Give prob of picking 4 r. 11/68 Two letters picked without replacement from {r: 2, x: 2, t: 2}. What is prob of picking 1 t and 1 x? 4/15 Four letters picked without replacement from {s: 6, u: 6}. Give prob of picking 3 u and 1 s. 8/33 What is prob of picking 1 p, 1 w, and 1 j when three letters picked without replacement from {w: 2, j: 7, p: 4}? 28/143 Calculate prob of picking 2 e and 2 r when four letters picked without replacement from {r: 4, q: 2, e: 5}. 2/11 Three letters picked without replacement from nququuqqququunu. Give prob of picking 2 q and 1 u. 3/13 Calculate prob of picking 2 c and 1 k when three letters picked without replacement from cckcgcgggcc. 1/11 What is prob of picking 1 k, 1 r, and 2 a when four letters picked without replacement from rggrkgraaggrrrrug? 1/340 Two letters picked without replacement from {m: 2, e: 8, x: 2, j: 6}. What is prob of picking 1 x and 1 m? 4/153 Four letters picked without replacement from tttttdtdctdtttt. What is prob of picking 4 c? 0 Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {b: 1, a: 2, x: 1, i: 4, n: 3, t: 1}. 2/33 What is prob of picking 1 h, 1 s, and 1 g when three letters picked without replacement from {h: 3, s: 11, g: 1, a: 1, z: 1, b: 1}? 11/272 Three letters picked without replacement from {t: 4, v: 3, x: 2}. What is prob of picking 2 t and 1 x? 1/7 What is prob of picking 1 f and 1 v when two letters picked without replacement from {d: 2, v: 4, f: 8, q: 3}? 4/17 Calculate prob of picking 1 v, 1 q, 1 w, and 1 e when four letters picked without replacement from {o: 4, v: 4, q: 1, e: 4, w: 2, z: 4}. 8/969 Calculate prob of picking 2 g when two letters picked without replacement from gggggggzgxggzgkkggz. 26/57 Two letters picked without replacement from qkwkpnwq. What is prob of picking 1 q and 1 p? 1/14 Calculate prob of picking 2 k and 1 f when three letters picked without replacement from veffcekefkk. 3/55 Three letters picked without replacement from kdbddnnkdnbnn. What is prob of picking 1 n, 1 b, and 1 d? 20/143 Four letters picked without replacement from {u: 3, z: 5, n: 3}. What is prob of picking 3 z and 1 n? 1/11 Four letters picked without replacement from phgxppdhxphppsxpssp. Give prob of picking 2 h, 1 g, and 1 s. 3/1292 Two letters picked without replacement from tuuutuuutuuuut. Give prob of picking 1 t and 1 u. 40/91 What is prob of picking 2 m when two letters picked without replacement from {m: 8, i: 3}? 28/55 What is prob of picking 1 g and 2 y when three letters picked without replacement from {g: 1, n: 2, e: 4, y: 9}? 9/140 Calculate prob of picking 2 g, 1 i, and 1 z when four letters picked without replacement from {z: 2, u: 1, a: 1, i: 4, g: 2}. 4/105 Two letters picked without replacement from dddxxoxdoz. What is prob of picking 1 z and 1 o? 2/45 Calculate prob of picking 1 x and 2 q when three letters picked without replacement from qyqymqymxqmxmmq. 4/91 What is prob of picking 1 y and 1 e when two letters picked without replacement from jjjkdkyyyyye? 5/66 What is prob of picking 4 k when four letters picked without replacement from {k: 6, j: 4}? 1/14 Three letters picked without replacement from svlhsv. Give prob of picking 1 s, 1 l, and 1 v. 1/5 What is prob of picking 1 o, 1 y, and 1 s when three letters picked without replacement from {y: 4, o: 1, u: 4, s: 3, z: 7}? 4/323 What is prob of picking 2 u when two letters picked without replacement from {d: 5, u: 4, r: 2, t: 1, a: 4}? 1/20 Calculate prob of picking 2 d, 1 l, and 1 y when four letters picked without replacement from {o: 3, y: 1, d: 6, l: 5}. 5/91 What is prob of picking 2 b and 1 x when three letters picked without replacement from bxbxbbbbbbbxxb? 45/91 What is prob of picking 3 n and 1 q when four letters picked without replacement from qnnnnnnnqnqqqn? 60/143 Two letters picked without replacement from fitnnck. Give prob of picking 1 i and 1 k. 1/21 Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {k: 6, v: 1, u: 1, b: 2, i: 3}. 1/13 Two letters picked without replacement from {p: 5, j: 1, m: 1, k: 3, s: 4}. What is prob of picking 1 m and 1 k? 3/91 Two letters picked without replacement from bbbbbbblbllbbbbb. What is prob of picking 1 b and 1 l? 13/40 What is prob of picking 2 t when two letters picked without replacement from {r: 1, y: 2, t: 2}? 1/10 Calculate prob of picking 1 a and 1 j when two letters picked without replacement from gtdaj. 1/10 Four letters picked without replacement from {x: 6, l: 7}. What is prob of picking 1 l and 3 x? 28/143 Four letters picked without replacement from zxxzxxxxxzxxxxxxxz. Give prob of picking 1 z and 3 x. 364/765 Calculate prob of picking 2 a when two letters picked without replacement from aiy. 0 Four letters picked without replacement from {w: 4, r: 1, i: 8}. What is prob of picking 4 i? 14/143 Calculate prob of picking 1 z and 2 s when three letters picked without replacement from {h: 9, q: 4, b: 1, z: 1, s: 2}. 1/680 What is prob of picking 2 z when two letters picked without replacement from {z: 2, t: 1, s: 1}? 1/6 What is prob of picking 3 s when three letters picked without replacement from {s: 4, p: 3}? 4/35 Calculate prob of picking 2 y, 1 e, and 1 r when four letters picked without replacement from yeyjyykr. 3/35 What is prob of picking 2 y and 2 i when four letters picked without replacement from yyiiyiyyyyyyiy? 270/1001 Two letters picked without replacement from sjyyddssysyssjss. What is prob of picking 1 y and 1 d? 1/15 Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {j: 2, r: 4, o: 3, c: 1}. 4/15 What is prob of picking 1 o and 1 f when two letters picked without replacement from okovkokvvfkkf? 1/13 What is prob of picking 1 l and 2 v when three letters picked without replacement from {r: 3, l: 1, v: 3}? 3/35 What is prob of picking 1 l and 1 a when two letters picked without replacement from ajaljl? 4/15 Four letters picked without replacement from {m: 6, z: 2}. What is prob of picking 1 z and 3 m? 4/7 Four letters picked without replacement from hbhyhwb. Give prob of picking 2 b and 2 h. 3/35 What is prob of picking 4 a when four letters picked without replacement from qffqaaqqqfqqqqaqfqaq? 1/4845 Two letters picked without replacement from xxxb. Give prob of picking 1 x and 1 b. 1/2 What is prob of picking 4 r when four letters picked without replacement from {r: 14, w: 1}? 11/15 What is prob of picking 2 o and 1 l when three letters picked without replacement from {l: 3, j: 7, o: 5, c: 2}? 3/68 Four letters picked without replacement from qqdddqqqqd. What is prob of picking 3 d and 1 q? 4/35
{ "pile_set_name": "DM Mathematics" }
the prime factors of d. 2, 3 Let s(m) be the first derivative of -m**3/3 - 4*m**2 - 2*m - 10. Let n be ((-3)/(-2))/((-6)/16). List the prime factors of s(n). 2, 7 Suppose 4*m = -2*o - 16, 5*m = 3*o - 8*o - 65. List the prime factors of (-2)/9 - 328/o. 2, 3 What are the prime factors of (-312)/(-60)*(-5)/(-2)? 13 Suppose n + f = -0*f + 2, 5*n - 2*f = 3. Suppose -3*p + 9 = 2*t, 3*p - 4 = -p. What are the prime factors of -1 + 18/t*n? 5 Suppose 1 = 4*q + 13. Let f = -9 - -12. What are the prime factors of f/(q/(-13)) - 2? 11 Let b = -3 + 3. Suppose 4*j - 3*w + 74 = b, 3*j + w + w = -64. List the prime factors of (-132)/j + (-3)/5. 2, 3 Let a = 83 - 54. List the prime factors of a. 29 Let p = 68 - 18. What are the prime factors of p? 2, 5 Let p(w) = -w - 3. Let g be p(-7). Suppose -g*k + 9*k = 150. What are the prime factors of k? 2, 3, 5 Suppose 0 = 4*s - 4*x - x - 37, 2*s - 3*x - 21 = 0. Suppose -3*l = s*y - 51, -3*y + 4*l + 28 = y. Let o = y - -3. List the prime factors of o. 3, 5 Let a = 6 - -39. What are the prime factors of a? 3, 5 What are the prime factors of 65 + 0 + (-12)/3? 61 Let c = -4 - -7. Suppose -43 = c*h - 4*h. List the prime factors of h. 43 Let m(j) = -j**2 - 6*j + 9. Let i be m(-7). What are the prime factors of 94/10 - i/5? 3 List the prime factors of (-1)/3 + 235/3. 2, 3, 13 Let d = 9 - 8. Let p(u) = -2 + 4*u + 2. List the prime factors of p(d). 2 Let q(x) = -3*x**3 - x + 2. List the prime factors of q(-3). 2, 43 Let x = -2 + -23. Let o = x - -52. What are the prime factors of o? 3 Let i = 751 + -336. Suppose n - i = -4*n. Suppose -n = -4*t + 3*o, 4*t - 8 = 5*t + 5*o. List the prime factors of t. 17 Suppose 2*x - 5*x - 4*g + 92 = 0, 4*g + 100 = 5*x. Suppose -m - m + x = 0. What are the prime factors of m? 2, 3 Suppose -10*j = -3*j - 735. What are the prime factors of j? 3, 5, 7 Let d(u) = -2*u**3 + u + 53. What are the prime factors of d(0)? 53 Let a = -5 - -8. Suppose 0 = a*t - 2*t - 41. What are the prime factors of t? 41 Let a = -9 + -6. Let k = 0 - -5. What are the prime factors of k*(3 + a)/(-3)? 2, 5 Suppose -2*f + 12 = 2*f. Suppose 5*t + 9 = -f*l, l - 1 = -2*t - 5. Suppose 5*g = -l*b + 30, -25 = -g - 4*g - b. What are the prime factors of g? 2 Let s(l) = -l. Let k be s(-2). Let x(z) = 4*z + 2. What are the prime factors of x(k)? 2, 5 Let m be 27/4 + 1/4. Suppose 5*k = q + 71, 4*k - 4*q = m + 37. List the prime factors of k. 3, 5 Let r(u) = -4*u - 4*u + 1 - 2. What are the prime factors of r(-2)? 3, 5 Let i = -35 + 73. List the prime factors of i. 2, 19 Let s(j) = 4*j + 10. Let d be s(7). Let r = 70 - d. Suppose -2*y + r = 2*x, -4*x - 5*y + 10*y = -28. What are the prime factors of x? 2, 3 Let k = 0 + 2. Suppose 0 = -k*y - 5*m, -3*y = m + m - 22. What are the prime factors of y? 2, 5 Suppose 3*m = -12, 2*g + 2*m + 28 = 6*g. Suppose -5*f + 4*s = 6, -5*s = -f + g*f - 28. List the prime factors of 6 + 0 + f + -2. 2, 3 Let c(y) = -6*y + 2. List the prime factors of c(-4). 2, 13 Suppose -2*v - b + 4 = -v, -2*v = -2*b. Suppose 0 = 5*j, 9 - 3 = v*k - j. What are the prime factors of k? 3 Let v(x) = -x**2 - 9*x + 15. List the prime factors of v(-10). 5 Suppose 0 = 5*f - 2*b + 14, 5*b - 2 = -3*f + 2. List the prime factors of 11/(f - -1)*-1. 11 Suppose 5*k - 4*s - 160 = 43, -2*k + 101 = 5*s. Suppose -5*a + 5 = 5*q, -2 = a - 1. Suppose 5*z - k - q = 0. What are the prime factors of z? 3 What are the prime factors of 9*(56/12 + 3)? 3, 23 What are the prime factors of (-5 - -125 - -3) + -1? 2, 61 Suppose 2*p - 232 - 395 = -5*b, 1 = p. What are the prime factors of b? 5 Let f be (18/(-24))/((-2)/136). Let a = f + -23. Let i = -17 + a. List the prime factors of i. 11 Suppose 0 = -4*o - 4*z + 32, 4*z - 15 = -z. Suppose 0*t + 2*t = 8, o*t = -3*v + 56. List the prime factors of v. 2, 3 Let v be ((-1710)/12)/(3/(-4)). Suppose -7*u + 9*u = v. Suppose -d = -6*d + u. List the prime factors of d. 19 Let a(w) = 1 + 8*w**2 - 2 - 2*w - 2*w**2. What are the prime factors of a(-1)? 7 Let j(k) be the first derivative of 10*k**3/3 - k**2/2 - 2*k + 5. What are the prime factors of j(-1)? 3 Suppose -y = -4*y + 33. Let x(m) = 2*m + 2. List the prime factors of x(y). 2, 3 Let b(x) = 6*x - 8 + 13 + 2*x. What are the prime factors of b(4)? 37 Let m = 689 + -401. List the prime factors of m. 2, 3 Let v(p) = 2*p - 7. Let o be v(5). Suppose o*i - 32 = -0*i - 2*y, -28 = -3*i + 2*y. List the prime factors of i. 2, 5 Suppose 2*k - 3*k = -2. Suppose k*i = -0*i. Let a = i - -6. List the prime factors of a. 2, 3 Suppose 4 = 2*k - 6*k. Let c(f) = 5*f**2. Let d be c(k). Suppose -5*z + 15 = d*m - 3*m, -2*m = -5*z + 35. List the prime factors of z. 5 Let f be (-13 - -4)*1/(-1). Let b be 550/45 + (-2)/f. Suppose -2*a - b = -6*a. List the prime factors of a. 3 Suppose 4*n + 5 = 17, 5*u - 3*n = 116. List the prime factors of u. 5 Let f = -58 - -89. What are the prime factors of f? 31 Let r(i) = i**3 + 10*i**2 + 10*i - 4. Let x be r(-8). Suppose 4*h - 2*z - 94 = 0, -z = 2*h + z - x. What are the prime factors of h? 23 Let c(q) = -38*q + 14. List the prime factors of c(-4). 2, 83 Suppose -4*b - 62 = -5*d, -4*d - 13 + 63 = -3*b. List the prime factors of 172/14 - 4/d. 2, 3 Let o be -18 - (-4)/(-2)*1/(-1). Let d(n) = n**3 - 7*n**2 + 3*n + 7. Let z be d(6). Let f = z - o. What are the prime factors of f? 5 Let c(y) = y**3 + 6*y**2 + 3*y. List the prime factors of c(-5). 2, 5 Suppose 0 = -n + 7*h - 2*h - 23, 2*n + 21 = 5*h. Let t(y) = y + 2. Let f be t(-6). List the prime factors of (-1 - f)/(n/6). 3 Let b = 28 + 17. What are the prime factors of b? 3, 5 List the prime factors of 155 + ((-8)/(-6))/(10/15). 157 Let c(o) = o**3 - 9*o**2 - o + 9. Let t be c(9). Suppose 5*r - 4*v - 128 = t, -3*v + 90 = 3*r - v. What are the prime factors of r? 2, 7 Let c(d) = -d**2 + 6*d - 4. Let u be c(5). What are the prime factors of 44*(-6)/(-8)*u? 3, 11 What are the prime factors of -1 + 69*4/6? 3, 5 Let z(i) = -i + 9. Let y be z(0). Suppose -y - 15 = -3*t. List the prime factors of t. 2 Let h(m) = m**3 + 7*m**2 + 8*m + 4. Let u be 2 - 7/1 - 0. List the prime factors of h(u). 2, 7 Let x(i) = -i**2 + i + 33. Let v be x(0). Suppose -21 = -0*a - 5*a + 3*d, -5*a - d = -v. List the prime factors of a. 2, 3 Let r(b) = 36*b + 1. Let t be r(1). Suppose 2*u = t - 9. What are the prime factors of u? 2, 7 Let n(x) = -21*x. Let j be n(-4). Suppose 7*k - 10*k + j = 0. What are the prime factors of k? 2, 7 List the prime factors of (-4520)/(-16) + 1/2. 283 Let u(w) = 4*w + 4 + 0*w**2 - 1 - w**2. Let c be u(4). Suppose 3*d = 2*d + c. List the prime factors of d. 3 Suppose -2*z - 6 = -3*z. List the prime factors of z/(-7)*(1 - 8). 2, 3 Suppose -4*i + 27 = -i. List the prime factors of i*(0 - (-56)/12). 2, 3, 7 Let k = 101 + -31. What are the prime factors of k? 2, 5, 7 Let s be 78 - (-2 + (-9)/(-3)). Suppose -s = -n - 17. Let x = n - 40. List the prime factors of x. 2, 5 Let q = 4 - 5. Let o = 17 - 29. What are the prime factors of q/4 + (-111)/o? 3 Let r be (0 - -1)*-7*5. Let k = 50 + r. Suppose -2*i = 2*i - 4, w = -4*i + k. What are the prime factors of w? 11 Let q(k) = 21*k**3 - k. Let s be q(1). Let i = -21 + 31. Let m = s - i. What are the prime factors of m? 2, 5 Let a = 506 + -251. What are the prime factors of a? 3, 5, 17 Suppose -q = 2*k + q - 122, -178 = -3*k + 2*q. What are the prime factors of k? 2, 3, 5 Suppose 2*l + 4 + 2 = 0. Let s be -2 - (-44)/(-6)*l. Suppose 5*t - s = 35. What are the prime factors of t? 11 Let g = 373 + -68. What are the prime factors of g? 5, 61 Suppose -5*u + 25 = -5*s, -s - s + 2 = 4*u. Suppose u*n + 5 = 7*n. Let p = 3 - n. List the prime factors of p. 2 Suppose 4*x = 5*d - 18 - 27, -4*d + 36 = x. List the prime factors of d. 3 Let z(o) = o**2 + 7*o + 8. Suppose -4*v + 5*v - 13 = -3*m, -23 = -3*v - 5*m. Let j be 3*v/3 + -7. List the prime factors of z(j). 2 Suppose 0 = a + 5*z - 23, z = 2*a - 0*z - 2. What are the prime factors of a? 3 Let h(c) = c**3 - 3*c**2 - 5*c + 2. Let q be h(4). Let a(v) = -v**3 - v**2 + 2*v + 2. What are the prime factors of a(q)? 2 Let y be 1*(3 + -2*1). Let s(h) = -6*h + 0 + 2*h - y. What are the prime factors of s(-1)? 3 Let k(d) be the third derivative of -3*d**5/40 - d**4/8 + d**3/6 - d**2. Let t(r) be the first derivative of k(r).
{ "pile_set_name": "DM Mathematics" }
r. -5409, -29, -7, 0 Put 0.07, -4, 55579.209 in decreasing order. 55579.209, 0.07, -4 Put 1, -3, 36, -47, 2, 0, 89 in ascending order. -47, -3, 0, 1, 2, 36, 89 Sort 3, -3, 5, -26, -328, 1. -328, -26, -3, 1, 3, 5 Sort -1.3, -7/12, 89.13 in ascending order. -1.3, -7/12, 89.13 Put -4, -2863855, -23 in decreasing order. -4, -23, -2863855 Sort -154, 5, -1/4, 8, -4, -10.7 in decreasing order. 8, 5, -1/4, -4, -10.7, -154 Sort -404, -3, -98, 330, -1 in decreasing order. 330, -1, -3, -98, -404 Put 2, -5, -100, -251 in decreasing order. 2, -5, -100, -251 Put 1, 2/7, -213.751, -4 in descending order. 1, 2/7, -4, -213.751 Put -48, -323, 7, 1 in increasing order. -323, -48, 1, 7 Put -6, -72871, 57 in increasing order. -72871, -6, 57 Sort -1/122, 28100, 0.01 in descending order. 28100, 0.01, -1/122 Sort -3, -3114.4349, 0.2, 1/6. -3114.4349, -3, 1/6, 0.2 Sort 1/12, 2/7, -2732, 0, 2/9, 2 in decreasing order. 2, 2/7, 2/9, 1/12, 0, -2732 Sort 1, 3, 5404, 317 in increasing order. 1, 3, 317, 5404 Sort -4, 335695, -3, 0.13 in ascending order. -4, -3, 0.13, 335695 Put 5, -5, -2, 3, -4, 731 in descending order. 731, 5, 3, -2, -4, -5 Put -5, 376, 0, 9, -298 in ascending order. -298, -5, 0, 9, 376 Put -20, 3, -2, 5, -2190, 2, 4 in increasing order. -2190, -20, -2, 2, 3, 4, 5 Sort 3, 7, 2, 2818 in decreasing order. 2818, 7, 3, 2 Put 1, 6, 33, 927, 3, -1, -2 in increasing order. -2, -1, 1, 3, 6, 33, 927 Put 1, 2, -13, -95194 in descending order. 2, 1, -13, -95194 Put -2, 0, 16, -20, -5, 3, 7 in descending order. 16, 7, 3, 0, -2, -5, -20 Sort 0, -3, -9, 5, 7, -5, -15473 in decreasing order. 7, 5, 0, -3, -5, -9, -15473 Sort -0.31, 5, 28, 163 in decreasing order. 163, 28, 5, -0.31 Sort 12, 11/12, -0.1, 0.4, 6, -3 in descending order. 12, 6, 11/12, 0.4, -0.1, -3 Sort -7, -0.11, -0.48, -2/1061 in decreasing order. -2/1061, -0.11, -0.48, -7 Sort 2, -2, 1, -562344, 68 in decreasing order. 68, 2, 1, -2, -562344 Sort -3, -286, -5, 65, 5 in increasing order. -286, -5, -3, 5, 65 Sort 3, -1, 4, 24753, -15, -2 in ascending order. -15, -2, -1, 3, 4, 24753 Put 2, -15, -264, 344, -4 in descending order. 344, 2, -4, -15, -264 Sort -2/9, -25, 4, -0.3, -24/79 in descending order. 4, -2/9, -0.3, -24/79, -25 Put -1, -15, 4, 362, 3 in decreasing order. 362, 4, 3, -1, -15 Sort 4, -5, 16960, -2, 7, -1. -5, -2, -1, 4, 7, 16960 Sort -8.1276, 3, -0.3, 52/9 in decreasing order. 52/9, 3, -0.3, -8.1276 Put 684, 0, -3, -0.24, 2, -40, 0.2 in decreasing order. 684, 2, 0.2, 0, -0.24, -3, -40 Sort 2, 8, -0.5, 970/7, 7/31. -0.5, 7/31, 2, 8, 970/7 Put -1461000, -3, -25 in decreasing order. -3, -25, -1461000 Put -111437, 5, 9.3 in increasing order. -111437, 5, 9.3 Sort -4, -1, 0, 3, 1411933, -2, 5. -4, -2, -1, 0, 3, 5, 1411933 Put 7631, 0.3, -290 in descending order. 7631, 0.3, -290 Sort -636, 132, 24 in increasing order. -636, 24, 132 Put 2, -17, -167, 5 in descending order. 5, 2, -17, -167 Sort -1, 29, -3, 289, 9, -2. -3, -2, -1, 9, 29, 289 Sort -4, 4, 118, 10, 0, 400 in ascending order. -4, 0, 4, 10, 118, 400 Put -156, 1, 4, -22122 in decreasing order. 4, 1, -156, -22122 Put 173/19, -1.1, 93.2, 3 in ascending order. -1.1, 3, 173/19, 93.2 Sort -64.4, 2/11, 1/4, 3, 0, -2/9 in descending order. 3, 1/4, 2/11, 0, -2/9, -64.4 Put 5, 5/194851, 2/19, -2/13 in descending order. 5, 2/19, 5/194851, -2/13 Put -0.1, 16/783, 0.057126 in descending order. 0.057126, 16/783, -0.1 Put 924/911, -2.3, 3 in decreasing order. 3, 924/911, -2.3 Sort 2, -39, -1113, -1, 4, 3, 1. -1113, -39, -1, 1, 2, 3, 4 Sort -61253, -10, 3. -61253, -10, 3 Put 0.391, 1/4, -242, 259, 0 in ascending order. -242, 0, 1/4, 0.391, 259 Put 4, -3/7, 0.094, 17, -3, -0.9 in descending order. 17, 4, 0.094, -3/7, -0.9, -3 Sort 1/6, -15.7, 4, 4/17, -2/83 in descending order. 4, 4/17, 1/6, -2/83, -15.7 Sort 7, -2, 10508, 5, 1 in decreasing order. 10508, 7, 5, 1, -2 Sort 36, 0, -348, 2, -5, -3 in descending order. 36, 2, 0, -3, -5, -348 Sort 18, -2, 6, -3, -5035, 4, 1 in increasing order. -5035, -3, -2, 1, 4, 6, 18 Sort 0, -21, 30, -1310, -1.3 in decreasing order. 30, 0, -1.3, -21, -1310 Put 0, 5, 102, 2, 189 in increasing order. 0, 2, 5, 102, 189 Sort -0.8, 1, -6/7, -3/22, 2, 407 in decreasing order. 407, 2, 1, -3/22, -0.8, -6/7 Sort -21, -81, 1.74, 2, -1 in decreasing order. 2, 1.74, -1, -21, -81 Put 0, 18, 959, 4, -3/4, 3 in increasing order. -3/4, 0, 3, 4, 18, 959 Sort -4, -2, -20, -5, -29, 5, 4 in descending order. 5, 4, -2, -4, -5, -20, -29 Put -2, 9.09, 4/9, 63, 0.4, -60 in decreasing order. 63, 9.09, 4/9, 0.4, -2, -60 Sort 5/17, 5, -75338, 0.5. -75338, 5/17, 0.5, 5 Sort 331/4, -4, 0.5, -0.14 in decreasing order. 331/4, 0.5, -0.14, -4 Put 5, -4, 24, -1, 92 in increasing order. -4, -1, 5, 24, 92 Sort -6/5, 0.5, 28963403, 1/10, 1/3. -6/5, 1/10, 1/3, 0.5, 28963403 Sort -0.63, -3/4, 0.10728, 0, 4. -3/4, -0.63, 0, 0.10728, 4 Sort -4, -5, -431, -8, 1, 0. -431, -8, -5, -4, 0, 1 Put -80478, -1, -136 in ascending order. -80478, -136, -1 Put 0, 25251, -184, -5 in ascending order. -184, -5, 0, 25251 Put -1, 1, 4, 3, -3010, -16 in decreasing order. 4, 3, 1, -1, -16, -3010 Put -5, -54, 4, -38647 in descending order. 4, -5, -54, -38647 Put -17, -4, -2, 12889 in decreasing order. 12889, -2, -4, -17 Sort 1/21, 14, 4/3, 0.05, 3, -9 in increasing order. -9, 1/21, 0.05, 4/3, 3, 14 Sort -6, 100199, 4. -6, 4, 100199 Put -5, 4, 3, -6, 1, -3, 25735 in descending order. 25735, 4, 3, 1, -3, -5, -6 Sort -0.3, 2/3, -3.74, 0.1, 94 in increasing order. -3.74, -0.3, 0.1, 2/3, 94 Put 0.8, -5.7, 0.15, 37, 1/16 in descending order. 37, 0.8, 0.15, 1/16, -5.7 Sort 70130, -22, 10 in decreasing order. 70130, 10, -22 Sort 5565075, 2, 13 in increasing order. 2, 13, 5565075 Put 2806, 3, -1/2, 0.02 in descending order. 2806, 3, 0.02, -1/2 Put 8117, 2, 5, 10, 4, 122, -1 in decreasing order. 8117, 122, 10, 5, 4, 2, -1 Sort 306, 4, 1083, 0.04, 10. 0.04, 4, 10, 306, 1083 Put 24, -0.888, -0.5, -4, 21 in decreasing order. 24, 21, -0.5, -0.888, -4 Put -3, 1165, -383 in decreasing order. 1165, -3, -383 Sort -1, 0.4, -1925732. -1925732, -1, 0.4 Put -8, 31, -388, 245 in ascending order. -388, -8, 31, 245 Sort -2, -135, 0, -5, -4, 5, 10. -135, -5, -4, -2, 0, 5, 10 Put -17616, -57, 5, -4 in increasing order. -17616, -57, -4, 5 Sort -12, 5, -4, 126193.6 in increasing order. -12, -4, 5, 126193.6 Sort -2/9, 1, 16/31, -2, -10, -1. -10, -2, -1, -2/9, 16/31, 1 Sort 4, 14125, 5, -2, -5, 3. -5, -2, 3, 4, 5, 14125 Sort 35, 4, 6/11, -1/4, 0.3, -0.9 in decreasing order. 35, 4, 6/11, 0.3, -1/4, -0.9 Sort 77, -1, -632549 in descending order. 77, -1, -632549 Put 3/8, 36/243143, -52 in decreasing order. 3/8, 36/243143, -52 Sort 1, -4, 5, -2793, 3, -6, 0. -2793, -6, -4, 0, 1, 3, 5 Sort -5046, 3, 7519. -5046, 3, 7519 Put -5134369, 5, -4 in descending order. 5, -4, -5134369 Sort -441, 52, -99 in decreasing order. 52, -99, -441 Put 6, 57465, 2, 5 in descending order. 57465, 6, 5, 2 Put 2.08, -11, -1/2, 3, 142, -3 in decreasing order. 142, 3, 2.08, -1/2, -3, -11 Put -5, -0.04, 4, -0.2, 151/6, -25 in descending order. 151/6, 4, -0.04, -0.2, -5, -25 Sort 1, -184.1, 60107 in decreasing order. 60107, 1, -184.1 Put -108, -51, 1, -2, -5, -11 in descending order. 1, -2, -5, -11, -51, -108 Sort 7/8, -223, -3, 9/8, 0 in descending order. 9/8, 7/8, 0, -3, -223 Sort 0.111, 482/107, 1/2 in decreasing order. 482/107, 1/2, 0.111 Put -786, 6, 4, -3, -16 in descending order. 6, 4, -3, -16, -786 Put 13, -47, -6, 8837 in ascending order. -47, -6, 13, 8837 Sort -7, -1.15, -11, 2449, 0 in descending order. 2449, 0, -1.15, -7, -11 Sort -7, -1/12, 4037.8 in ascending order. -7, -1/12, 4037.8 Put 6, 1, 43, -1539 in descending order. 43, 6, 1, -1539 Sort -55, -4, 743103. -55, -4, 743103 Sort -6, 2, 1166, 1/6, -5, -3, -1 in decreasing order. 1166, 2, 1/6, -1, -3, -5, -6 Sort -1/15958, -0.12, -0.04, 8/5 in decreasing order. 8/5, -1/15958, -0.04, -0.12 Put -73, -1, -2/7, -0.6, 2, -220 in increasing order. -220, -73, -1, -0.6, -2/7, 2 Put 211, -15, -35, 248 in increasing order. -35, -15, 211, 248 Put -24, 0, 73762, -2 in descending order. 73762, 0, -2, -24 Sort -0.08, 154, 111/8, 0.3 in descending order. 154, 111/8, 0.3, -0.08 Sort -4, -2, -51, 2, -10, -12 in ascending order. -51, -12, -10, -4, -2, 2 Sort 1278, 11, -3, 39, 2. -3, 2, 11, 39, 1278 S
{ "pile_set_name": "DM Mathematics" }
*2 - 1728*o What is the first derivative of 1148*f**2 + 1104 - 78*f - 565*f**2 - 581*f**2 wrt f? 4*f - 78 Differentiate 18821 - j + 1304*j**3 - 19296 + j wrt j. 3912*j**2 What is the third derivative of 2270*a**3 + 2264*a**3 + 417*a + a**2 + 23*a**4 - 4533*a**3 + 59*a**6 + 50*a wrt a? 7080*a**3 + 552*a + 6 What is the derivative of 15 - 348 + 262 + 142 + 228 - 6017*c wrt c? -6017 Suppose -g + 0 + 22 = 4*d, g = -2*d + 12. Differentiate 60*k**2 - 155*k**3 + 93*k**g - 153*k**2 - 79 with respect to k. -465*k**2 Let s(i) be the third derivative of 26/3*i**3 - 277*i**2 + 0*i + 113/24*i**4 + 0. What is the derivative of s(n) wrt n? 113 Let p(l) = 25*l**4 - 30*l**3 - l - 6606. Let i(g) = -47*g**4 + 59*g**3 + 2*g + 13210. Let s(v) = 6*i(v) + 11*p(v). What is the first derivative of s(y) wrt y? -28*y**3 + 72*y**2 + 1 Let d(f) = 16*f + 85. Let q(s) be the first derivative of 49*s**2/2 + 257*s - 82. Let a(y) = 11*d(y) - 4*q(y). Find the first derivative of a(w) wrt w. -20 Suppose -3*p + 18 = b + 2*p, -2*b = -p - 3. What is the second derivative of -24 + 0*v**3 + 17 + 26*v**2 - 2*v**b + 2*v + 6 wrt v? -12*v + 52 Let j(a) = 4609*a**2 + 3188*a - 65. Let v(z) = -13828*z**2 - 9564*z + 208. Let b(x) = 16*j(x) + 5*v(x). What is the second derivative of b(d) wrt d? 9208 Let b(s) be the first derivative of 5/2*s**4 + 0*s + 2/3*s**3 - 45*s**2 - 44. Find the second derivative of b(n) wrt n. 60*n + 4 Suppose 4*z = 5*p + 4 - 7, -z - 12 = -5*p. Differentiate -6*a + 195 - 68*a + p*a with respect to a. -71 Let i(k) be the first derivative of -87*k**5/5 - 5*k**4/2 + 1989*k + 2130. Differentiate i(m) with respect to m. -348*m**3 - 30*m**2 Let p be (-1)/(1/2) - 480/12. Let f = p + 45. What is the third derivative of 0*k**f + 8*k**3 - 8*k**3 - 19*k**4 - 22*k**2 wrt k? -456*k Let c(w) be the first derivative of -25/2*w**2 + 24*w - 4/3*w**3 + 66. What is the derivative of c(g) wrt g? -8*g - 25 Let z(d) be the third derivative of 0*d**7 + 0*d**5 + 8/3*d**4 - 97/336*d**8 + 0*d - 30*d**2 + 0*d**3 + 2 + 0*d**6. Find the second derivative of z(n) wrt n. -1940*n**3 Let q(g) be the second derivative of -1399*g**8/28 - 5*g**4/3 - 91*g**2/2 - 2*g + 437. Find the third derivative of q(i) wrt i. -335760*i**3 Let h = -47 - -39. Let x(j) = j**3 + 9*j**2 + 9*j + 10. Let m be x(h). Find the third derivative of -50*p**2 + 23*p**m + 19*p**5 + 9*p**2 wrt p. 1140*p**2 Let i(g) = -g**3 + 14*g**2 + 16*g - 13. Suppose 4*z = 5*z - 15. Let a be i(z). What is the third derivative of 28*r**6 + 593*r + 2*r**a - 593*r wrt r? 3360*r**3 Let d be 2 + -20 + (2 - -1). Let h = d - -19. Find the third derivative of 980*i**4 - 16*i**5 - 980*i**h - 13*i**2 wrt i. -960*i**2 Let k(l) = -7433*l**2 + 30*l + 7922. Let f(o) = 7425*o**2 - 36*o - 7923. Let w(n) = -5*f(n) - 6*k(n). Find the first derivative of w(r) wrt r. 14946*r Let j(q) = q + 1. Let t(i) = -79*i**2 + 13*i - 6. Let c be (1 - 2)*2 + (0 - 3). Let l(a) = c*j(a) - t(a). What is the second derivative of l(u) wrt u? 158 Let q(p) be the first derivative of 69*p**4/4 - 2063*p + 887. Find the first derivative of q(d) wrt d. 207*d**2 Suppose 2*t - 36 = -7*r + 3*r, 5*r + 4*t - 51 = 0. What is the second derivative of -150*i + 3 - 181*i**2 - 11*i + 6 - r*i - 10 wrt i? -362 Differentiate 10336*c**3 + 2*c - 2*c - 1676 + 2528 + 3200 with respect to c. 31008*c**2 Find the third derivative of -616*r**2 + 4*r**5 - 4*r**5 + 197*r**6 - 720*r**2 + 2*r**4 - 493*r**2 wrt r. 23640*r**3 + 48*r Let i(y) be the third derivative of 1/105*y**7 + 0*y + 53*y**2 + 5/12*y**4 + 0*y**3 + 0 + 0*y**6 - 31/60*y**5. What is the second derivative of i(w) wrt w? 24*w**2 - 62 What is the derivative of -1579 + 640 + 1779 - 933*x wrt x? -933 Let i(y) = -2*y**2 + 44*y + 7. Let q be i(22). Find the second derivative of -33 + 173*k**2 + 175 - q*k - 2*k - 8*k + 19*k wrt k. 346 Let b(z) be the third derivative of 0*z - 19*z**2 - 1/3*z**5 + 0 + 0*z**3 + 13/30*z**6 + 0*z**4. What is the third derivative of b(d) wrt d? 312 Let w(f) = 5*f + 97. Let m be w(-19). What is the third derivative of -58*i**m + 39*i**4 + 14*i**4 + 3*i**4 + 6*i**4 wrt i? 1488*i Suppose -3*x - y = -154 - 131, -x + 5*y + 111 = 0. What is the first derivative of -89*t + 37*t**3 + 89*t - 2*t**2 + x wrt t? 111*t**2 - 4*t Let p(j) = -841*j**6 + 4*j**5 + 6*j**2 - 125*j. Let g(y) = -2*y**6 - y**5 - 2*y**2 - 3*y. Let m(d) = 4*g(d) + p(d). Find the third derivative of m(k) wrt k. -101880*k**3 Let s(f) be the third derivative of 1/30*f**5 + 0*f**3 + 0 - 80*f**2 + 0*f - 11/24*f**4. What is the second derivative of s(n) wrt n? 4 Let o(u) = -6. Let f(s) = 1. Let r(x) = -5*f(x) - o(x). Let d = -37 - -36. Let y(n) = -17*n + 16. Let a(c) = d*y(c) + 3*r(c). Differentiate a(q) wrt q. 17 Let m(r) be the second derivative of 1993*r**4/12 - 2339*r**2 + 492*r - 3. What is the derivative of m(t) wrt t? 3986*t Differentiate 0*s**2 - 106*s**3 - 3*s**2 - 114*s**3 + 1237 + 2*s**2 - 305*s**3 wrt s. -1575*s**2 - 2*s Let s be 2261/(-57)*(-6)/2. Let q = -76 + s. What is the third derivative of q*j**5 - 64 - 15*j**2 + 31 + 33 wrt j? 2580*j**2 Let a be 16 - (0 + (3 - 0)). Let x be 4 + 0/((-3)/(-3)). What is the third derivative of -87*u**x + a*u**2 + 0 + 74*u**4 + 0 wrt u? -312*u Suppose 0 = -v + 1, 3*a - 5*v + 44 + 3 = 0. Let r(d) = -d - 9. Let m be r(a). Find the second derivative of -6*i**5 - 22*i + i + 4*i**5 - 2*i**m wrt i. -80*i**3 Let l(n) be the third derivative of 2223*n**5/10 + 49*n**4/12 - 2054*n**2. What is the second derivative of l(u) wrt u? 26676 Let t(z) be the second derivative of -709*z**6/10 - 411*z**4/4 - 2372*z. What is the third derivative of t(p) wrt p? -51048*p Suppose 2*u = 8 + 14. Let f(s) = s**2 - 12*s + 16. Let z be f(u). Find the third derivative of -14*k**z + 14*k**5 - 12*k**6 + k**2 wrt k. -1440*k**3 What is the third derivative of -7176*n**2 + 63*n**4 - 30*n**6 - 2089*n**2 - 85*n**4 - 386*n + 386*n wrt n? -3600*n**3 - 528*n Let j = -8855 - -8855. Let y(d) be the third derivative of 0*d + j - 5/2*d**3 + 18*d**2 + 4/3*d**4. Differentiate y(h) wrt h. 32 Let v(u) = -2*u**3 + 18*u**2 + u - 6. Let s be v(9). Let t = -33 - -35. Find the third derivative of 2 + 9*l**2 + 18*l**3 - 6*l**s - t wrt l. 72 Let i(y) be the second derivative of 10/3*y**3 + 0*y**2 + 13/6*y**4 + 0 - 19*y. Find the second derivative of i(h) wrt h. 52 Let f be (-1)/(-6)*6*7. Let o(m) = m + 1. Let h be o(2). What is the first derivative of -f - 10 + 12 + h*v**2 wrt v? 6*v Let q(t) be the first derivative of -39 - t + 0*t**5 + 0*t**3 + 9*t**2 - 23/6*t**6 + 0*t**4. What is the second derivative of q(r) wrt r? -460*r**3 Let y = 4441 - 4426. Let o = 5 + -2. What is the first derivative of -8 - x**o + y + 21*x**3 wrt x? 60*x**2 Let k = 14 - 16. Let z be (k - 3) + 2 + 10. What is the third derivative of -z*g**6 - 3*g**6 - 2*g**2 - 4*g**2 - 4*g**6 wrt g? -1680*g**3 Let c(g) be the second derivative of 1179*g**8/28 - g**4/12 + 1561*g**2/2 + 3134*g. Find the third derivative of c(n) wrt n. 282960*n**3 What is the second derivative of -14910*d**4 - 5*d - 1264 + 7449*d**4 - 1370*d**5 + 7461*d**4 wrt d? -27400*d**3 Let f(x) = x**5 + x**4 + x**2 + x + 1. Let q(l) = -828*l**5 + 4*l**4 - 189*l**2 + l + 4. Let t(d) = 4*f(d) - q(d). Find the third derivative of t(k) wrt k. 49920*k**2 Suppose -y = -20 + 15. Suppose -5*t + 3*l + 440 = -908, -1352 = -y*t + 2*l. Differentiate 13*r**2 + 4*r + t - 4*r - 232 wrt r. 26*r Let c be 3/15 + 138/(-15). Let q = c - -13. Find the first derivative of n - 4 - 17 - n - q*n**2 wrt n. -8*n Let z be (-2)/(-4) - ((-1096)/16 - 2). Find the first derivative of -133 + z + 89*w**2 - 181 wrt w. 178*w Let x be 2/(-6) - (-9)/27. Let q be 1 - 1 - (x - 4). What is the first derivative of -9 + 3 - q - 6*f**4 - 1 wrt f? -24*f**3 Suppose -22*i - 20 = -26*i. Find the third derivative of 90*b**5 + 22*b**5 + 10251*b**2 - 10322*b**2 - 18*b**i wrt b. 5640*b**2 Let x(s) be the third derivative of 11*s + 0*s**4 + 0 - 5*s**2 - 140/3*s**3 + 3/4*s**5. What is the first derivative of x(h) wrt h? 90*h Find the second derivative of -3724*c - 1847*c**3 - 1292*c**3 + 2342*c**3 wrt c. -4782*c Let w(s) be the first derivative of -s**5/5 - 2027*s**4/2 + s**3 - s**2/2 - 121*s + 6169. Find the third derivative of w(b) wrt b. -24*b - 24324 Let w(a) be the second derivative of -637*a**3/
{ "pile_set_name": "DM Mathematics" }
16? 16 Let x(w) = w. Let a be x(-4). Calculate the common denominator of 0 - a/(32/71) and -113/14. 56 Suppose -74 = -4*o - 2*g - 1732, 2105 = -5*o + 4*g. Let q = 241 + o. Find the common denominator of 21/8 and -3 + (q/9)/(-2). 72 Let v = 0 - -8. What is the smallest common multiple of v and 12? 24 Let h be (-1)/(-3) + 5/(-15). Suppose h = -2*n + 19 - 7. Calculate the lowest common multiple of n and 10. 30 What is the common denominator of (2/20)/((-8)/(-696)) and -25/8? 40 Suppose 3*h - 5 = 49. What is the least common multiple of (-3)/(-18)*0 + 10 and h? 90 Calculate the common denominator of -17/20 and 82/4 + 10/2. 20 Let z(v) = -v**2 - 3*v - 4. Let d be z(-3). What is the common denominator of (-286)/(-60) - d/10 and 7/2? 6 Let f be (12/(-3))/((-4)/6). Let t = 12 - f. Let o = -3 + t. Calculate the smallest common multiple of o and 5. 15 What is the common denominator of (-4)/22 - 2841/528 and -31/6? 48 Suppose 5*m - 69 = 11. Calculate the least common multiple of 10 and m. 80 Let h(m) = m + 4. Let v(w) = -w - 1. Let r(k) = 3*k + 3. Let n(b) = -2*r(b) - 5*v(b). Let z be n(-7). Calculate the smallest common multiple of 10 and h(z). 10 Let o = 12/55 - 2291/165. Calculate the common denominator of ((-42)/20)/((-3)/(-17)) and o. 30 Let o = 2319 - 18653/8. Suppose 1 = 2*u + u + 2*t, 2*u + 1 = -t. Calculate the common denominator of (-1)/u*141/9 and o. 72 Suppose -180 = -i - 3*i. Let p(a) = 2*a**2 + 11*a + 8. Let c be p(-8). What is the common denominator of i and ((-18)/c)/(3/(-46))? 4 Suppose -2*k - 95 = 17. Calculate the common denominator of (-4)/(-2) + (-60)/k and 79/18. 126 Let b = -34287/5 - -32856/5. Let m = 284 + b. What is the common denominator of 77/10 and m? 10 Suppose 0 = 7*q - 2*q - 25. Suppose -q*l - 7 = -27. Let s(x) = -2*x - 8. Calculate the smallest common multiple of l and s(-7). 12 Let j(f) = -2*f**3 - 4*f**2 - 3*f - 3. Let a be j(-3). Find the common denominator of -1 + (-4)/(a/(-255)) and 23/8. 8 Let u(x) = x**3 - 6*x**2 + 2*x + 3. Let n = -9 + 15. Let y be u(n). Let f = 37 - y. What is the lowest common multiple of 6 and f? 66 Let j = -31/14 + 82/7. What is the common denominator of j and -57/2? 2 Let i(q) = 6*q + 2. Let j be i(2). Let p = j + -10. What is the lowest common multiple of p and 18? 36 Suppose 5*o + 5*k = 19 + 26, -2*o + k = -21. Calculate the least common multiple of 2 and o. 10 Suppose x - 3 = 3*n - n, -8 = 4*x + 2*n. Calculate the common denominator of 43/(-5) + x/2 and -43/9. 90 Let x = 338/19 - 7511/152. Let f = 921/40 + x. Calculate the common denominator of 71/9 and f. 45 Let k = 276735084 + -1908088386429/6895. Let t = k - 3/985. Calculate the common denominator of t and 39. 7 Let q = 76/1587 + 1016659/12696. Let d = 77 - q. Find the common denominator of d and (-61)/(-10)*-1 - -2. 40 Let q(c) = -5*c - 54. What is the least common multiple of q(-14) and 20? 80 Suppose 4*d + 12 = d. Let o = d - -8. What is the common denominator of (-1)/o + 45/(-16) and -143/6? 48 Suppose -5*c - 20 = 5*p, 6*p - p = 3*c + 28. Let y = 2 - c. What is the smallest common multiple of y and 10? 40 Suppose -45 = -l - 12. Let v be (-1)/(-2) - (-35778)/l. Let n = 1085 - v. What is the common denominator of n and -101/6? 66 Suppose 8*p = 3*p + 50. Suppose -2*v + 0*v - 5*m + 80 = 0, 3*v = -2*m + 142. Suppose -p = -3*y + v. What is the lowest common multiple of y and 14? 140 Let g(m) = -m**3 - 5*m**2 - 2*m + 4. What is the smallest common multiple of 9 and g(-5)? 126 What is the smallest common multiple of 8 and 0/(-3) - (-11)/1? 88 Suppose 0 = -3*b + 10 + 8. Let o(z) = -23*z**2 - 2. Let n be o(-2). Calculate the common denominator of (-2)/b - n/(-24) and -91/12. 12 Calculate the common denominator of 362/(-30) - 7/(-42) and -5/26. 130 Let r(c) = 2*c - 2. Calculate the least common multiple of r(11) and 8. 40 Calculate the smallest common multiple of 22 and (2/4)/(3/12). 22 Let y = -510914/1295 - -2762/7. Let a be -2 + (-2 - (-11188)/2035). Let d = y - a. Calculate the common denominator of d and 93/4. 44 Suppose 5*i - 25 = -0*i. What is the smallest common multiple of 10 and i? 10 Let p be (-3)/2 + 562490/110070. Let l = -1/1223 - p. Let q = 4338 + -17445/4. Calculate the common denominator of l and q. 36 Suppose -2*n - u - 41 = 0, 0*n + 5*u = -5*n - 115. What is the common denominator of -25/8 and n? 8 Let g = 5447/9 + -606. Calculate the common denominator of g and 139/12. 36 Suppose -4 + 0 = -2*z. Let b be (8/6)/(z/(-9)). Calculate the common denominator of b/(-9)*29/12 and 47/22. 198 Let t = 8/367 - 28307/2202. Let c = -12091/8 - -1507. Calculate the common denominator of c and t. 24 Let d = 71377/12 - 5942. What is the common denominator of 95/16 and d? 48 Let n(w) = -w**2 - 5*w + 1. Let l be n(-4). Let g = -3 + l. What is the least common multiple of 2 and g? 2 Let l(i) = i**3 + 4*i**2 + 3. What is the smallest common multiple of (4 + 14/(-4))*2 and l(-4)? 3 Suppose -20 = -0*c - 2*c. Let u(l) = l + 20. Calculate the smallest common multiple of c and u(-10). 10 Suppose -3*j + 74 = 8. Calculate the lowest common multiple of j and 32. 352 Let u = -113 + 122. What is the smallest common multiple of u and (7/2)/((-1)/(-2))? 63 Suppose 5 = 5*r - 5. Calculate the lowest common multiple of r and 20. 20 Calculate the common denominator of 31/24 and 3/72*-181 + 4. 24 Let t(n) = n + 6. What is the smallest common multiple of 8 and t(-4)? 8 Let m = 16 + 4. Let d = 1947/46 + 50/23. What is the common denominator of d and 5/m - 2/3? 12 Let g = -45 - -49. What is the least common multiple of g and 56? 56 Suppose -4*p = -7*p + 15. Suppose 4*z + 3*k - 38 = 0, 0 = -4*z + p*k - 3*k + 48. Calculate the least common multiple of z and 2. 22 Find the common denominator of 77/2 and 1 - 2 - 24/(-10). 10 Let i(r) = -r**2 + 6*r + 2. Let y be i(6). Suppose -2 - 2 = 2*m + 3*s, 4*s + 9 = m. Suppose -h + m = -y. What is the lowest common multiple of h and 5? 15 Let g = 5 - 5. Suppose g*b + 12 = 3*b. What is the common denominator of 1/10 and ((-3)/(-20))/(b/(-8))? 10 Calculate the common denominator of 99/4 and -11*12/112*4. 28 Let d be 20/(-50)*(0 - 10). Suppose 2*r + d = 4*r. Let s(a) = 17*a**2 + 1. Calculate the smallest common multiple of s(1) and r. 18 Let l be (-68)/(-6)*1*-56. Let f = l + 640. What is the common denominator of 70/3 and f? 3 Suppose a = 5*w - 2*w - 22, -2*w - 4*a = -10. What is the smallest common multiple of w and 7? 7 What is the common denominator of (-3102)/(-84) - 9/21 and -101/4? 4 Let k = -2 + 12. Let x = -3 + 6. Suppose -2*y + 5 = -2*h + 5*h, -5*y + x*h + 65 = 0. What is the lowest common multiple of y and k? 10 Let k = -174 - -2135/12. Calculate the common denominator of 39/8 and k. 24 Suppose -6*m + 132 = -2*m. What is the lowest common multiple of m and 24? 264 Let u(x) = 2*x. What is the least common multiple of 11 and u(1)? 22 Let n = 379721/15 + -25347. Let b = -601/15 - n. What is the common denominator of (-4)/(-6) - 302/12 and b? 10 Suppose 1387 = 5*x - 3213. Calculate the common denominator of x/96 - 4/(-6) and -61/10. 20 Suppose -1 = -h + 2. Suppose 2*z = 3*a - a, 2*a = -h*z + 5. Calculate the common denominator of 23/8 and a/(1/((-21)/(-30))). 40 Let l(y) = y**3 + 10*y**2 - 14*y. Let v be l(-10). Suppose -f = 6*b - b - v, -514 = -4*f + 3*b. Calculate the common denominator of f/12*3/2 and 9. 4 Let k = -1283 - -20535/16. Let b = -17 - -101/6. Calculate the common denominator of b and k. 48 Let y = 67892 - 478119/7. Let m = y + 409. Calculate the common denominator of -14/11 and m. 77 Suppose -73 + 37 = -6*d. What is the smallest common multiple of d and 8? 24 Let a = -37 - -23. Let f = a - -18. What is the lowest common multiple of f and 2? 4 Let f = 164500 + -1115803498/6783. Let o = f - -547/21149394. Let m = o + -49899/34298. Calculate the common denominator of 9/10 and m. 110 Calculate the common denominator of -46 and (0 - (-10)/6)/((-12)/20). 9 Let b = 28/3 + -265/48. Find the common denominator of (-2)/(-11) + (-247)/(-154) and b. 112 Let y(j) = -2 - j + 4 - 2. Let s be y(-2). Suppose -r - s*t + 26 = 0, t + 42 = 2*r + 3*t. Calculate the smallest common multiple of r and 22. 176 Let z(w) = w**3 + 7*w**2 - w - 9. Let n be z(-7). Calculate the common denominator of 67/4 and (-117)/(-24) + (-1)/n. 8 Supp
{ "pile_set_name": "DM Mathematics" }
a and 1 n when two letters picked without replacement from anvvvnvav? 1/9 What is prob of picking 1 t and 1 w when two letters picked without replacement from wwwtwwwwwwww? 1/6 Calculate prob of picking 3 n when three letters picked without replacement from {n: 11, a: 2}. 15/26 Two letters picked without replacement from {l: 2, q: 1}. Give prob of picking 1 q and 1 l. 2/3 Three letters picked without replacement from {v: 3, b: 5, f: 1, r: 3}. What is prob of picking 3 r? 1/220 Two letters picked without replacement from baxos. Give prob of picking 1 x and 1 s. 1/10 Two letters picked without replacement from {k: 6, j: 2, t: 3, e: 1}. Give prob of picking 1 t and 1 e. 1/22 Three letters picked without replacement from lmml. What is prob of picking 2 m and 1 l? 1/2 Two letters picked without replacement from {k: 3, d: 9}. Give prob of picking 2 k. 1/22 Calculate prob of picking 1 a and 1 k when two letters picked without replacement from axxmykssmsyyxsssks. 2/153 Calculate prob of picking 1 d and 3 m when four letters picked without replacement from {d: 5, m: 7}. 35/99 Calculate prob of picking 4 i when four letters picked without replacement from {i: 7}. 1 Two letters picked without replacement from {m: 3, x: 1, t: 1, l: 3, j: 2, n: 1}. What is prob of picking 2 l? 3/55 Calculate prob of picking 1 q and 1 v when two letters picked without replacement from smsdqsdmdmvvmdlvmd. 1/51 What is prob of picking 1 y and 3 u when four letters picked without replacement from {y: 2, u: 4}? 8/15 Four letters picked without replacement from {b: 2, z: 2, h: 5}. Give prob of picking 2 b, 1 h, and 1 z. 5/63 Two letters picked without replacement from pjpjpj. What is prob of picking 1 j and 1 p? 3/5 Two letters picked without replacement from bttkttbkkjtttb. What is prob of picking 2 t? 3/13 Four letters picked without replacement from {t: 2, u: 1, b: 5, j: 8, x: 1}. What is prob of picking 1 t and 3 b? 1/119 What is prob of picking 2 u when two letters picked without replacement from uuojjusou? 1/6 Calculate prob of picking 1 f and 3 p when four letters picked without replacement from {f: 5, p: 10, k: 4}. 50/323 Two letters picked without replacement from {c: 4, f: 2, t: 2, k: 8}. What is prob of picking 2 c? 1/20 Two letters picked without replacement from {l: 3, x: 1, w: 2, m: 1}. What is prob of picking 1 l and 1 w? 2/7 Two letters picked without replacement from faoosofoffffofof. Give prob of picking 1 f and 1 a. 1/15 What is prob of picking 2 d when two letters picked without replacement from {m: 5, d: 3}? 3/28 Four letters picked without replacement from ttttstts. Give prob of picking 1 s and 3 t. 4/7 Three letters picked without replacement from wwwwwrrqwrwwwrwrw. Give prob of picking 3 r. 1/68 Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {g: 4, n: 3, f: 2, d: 8}. 3/17 Four letters picked without replacement from rkkyykyykkk. Give prob of picking 2 k and 2 r. 0 Two letters picked without replacement from {n: 1, d: 1, y: 2}. What is prob of picking 1 d and 1 y? 1/3 Two letters picked without replacement from eeefemeeeee. What is prob of picking 2 e? 36/55 Calculate prob of picking 3 q when three letters picked without replacement from ididdiidqdqiqqqdiqq. 35/969 What is prob of picking 1 u and 1 c when two letters picked without replacement from ccucsscusccsc? 7/39 Two letters picked without replacement from hmtpumpmppmtphp. What is prob of picking 1 m and 1 u? 4/105 What is prob of picking 1 i and 2 d when three letters picked without replacement from {i: 4, d: 2}? 1/5 Three letters picked without replacement from lttlttttttttlttttltt. Give prob of picking 2 l and 1 t. 8/95 What is prob of picking 3 x and 1 d when four letters picked without replacement from {d: 1, x: 3, q: 4}? 1/70 Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {d: 2, w: 17}. 34/171 Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 4, c: 3, s: 1}. 3/7 What is prob of picking 2 j and 2 i when four letters picked without replacement from {j: 9, i: 5}? 360/1001 Three letters picked without replacement from {m: 11, i: 6, l: 1}. Give prob of picking 2 i and 1 m. 55/272 Four letters picked without replacement from dicdddidcirkodo. What is prob of picking 4 d? 1/91 Calculate prob of picking 1 f and 2 t when three letters picked without replacement from {f: 5, n: 1, u: 3, t: 2, i: 1}. 1/44 Four letters picked without replacement from bbsbssfsbbssssbbb. Give prob of picking 4 b. 1/34 What is prob of picking 2 g and 1 t when three letters picked without replacement from {j: 5, g: 4, t: 2}? 4/55 What is prob of picking 3 l when three letters picked without replacement from {r: 1, q: 1, l: 3}? 1/10 Two letters picked without replacement from goohesooshhso. Give prob of picking 1 e and 1 o. 5/78 What is prob of picking 2 q when two letters picked without replacement from ququqquuuuuqny? 10/91 What is prob of picking 2 c when two letters picked without replacement from {c: 3, b: 8, f: 5}? 1/40 Calculate prob of picking 1 p and 1 r when two letters picked without replacement from sppprrr. 3/7 Three letters picked without replacement from cqcccccccqcccqcc. Give prob of picking 3 q. 1/560 Calculate prob of picking 1 k and 1 v when two letters picked without replacement from wkkggwgkkkgkwgv. 2/35 Three letters picked without replacement from {g: 2, f: 1, j: 2}. What is prob of picking 2 g and 1 f? 1/10 Four letters picked without replacement from utgnnnumggu. Give prob of picking 2 n, 1 g, and 1 u. 9/110 Two letters picked without replacement from zpvpfmy. What is prob of picking 1 m and 1 f? 1/21 What is prob of picking 1 o, 2 d, and 1 x when four letters picked without replacement from bbdboxxbbodobod? 8/455 Two letters picked without replacement from mmmmrrmrmr. What is prob of picking 2 r? 2/15 Four letters picked without replacement from xqqxxxxqqxxxxxxqxxx. Give prob of picking 3 q and 1 x. 35/969 What is prob of picking 2 w and 1 d when three letters picked without replacement from {w: 2, d: 15, v: 3}? 1/76 Calculate prob of picking 1 d and 1 e when two letters picked without replacement from vvdevddd. 1/7 What is prob of picking 2 s when two letters picked without replacement from kmssszzs? 3/14 What is prob of picking 2 k when two letters picked without replacement from {k: 17, d: 2}? 136/171 Calculate prob of picking 4 i when four letters picked without replacement from iiii. 1 What is prob of picking 1 k and 1 d when two letters picked without replacement from dkkyodoc? 1/7 Three letters picked without replacement from nyadyd. Give prob of picking 1 a, 1 y, and 1 n. 1/10 Three letters picked without replacement from mmmfuummfmfpfumpf. What is prob of picking 1 m and 2 p? 7/680 Four letters picked without replacement from fffffffffffftttfff. Give prob of picking 2 t and 2 f. 7/68 Three letters picked without replacement from {y: 6, i: 1, v: 4}. What is prob of picking 1 v, 1 y, and 1 i? 8/55 Three letters picked without replacement from {w: 1, y: 10, m: 3, h: 3, b: 2}. Give prob of picking 1 y and 2 m. 10/323 Two letters picked without replacement from bok. Give prob of picking 1 k and 1 o. 1/3 Four letters picked without replacement from {b: 6, q: 4}. Give prob of picking 1 q and 3 b. 8/21 Calculate prob of picking 3 t when three letters picked without replacement from {m: 3, t: 13}. 143/280 Four letters picked without replacement from vdvvvvvvvhyvvvv. Give prob of picking 2 v, 1 d, and 1 y. 22/455 Four letters picked without replacement from {m: 1, q: 2, u: 1, a: 5, l: 1, e: 3}. Give prob of picking 1 q and 3 e. 2/715 What is prob of picking 2 m when two letters picked without replacement from aymtmmmpmttxamtmy? 21/136 Four letters picked without replacement from {v: 8, n: 1, s: 5, h: 3, t: 3}. Give prob of picking 1 n, 1 h, and 2 v. 28/1615 Four letters picked without replacement from {c: 4, d: 1, a: 6, l: 2, h: 4}. Give prob of picking 1 d, 1 c, 1 a, and 1 h. 24/595 Two letters picked without replacement from miimimlmmimlmmmm. Give prob of picking 2 m. 3/8 What is prob of picking 3 a when three letters picked without replacement from {v: 3, a: 15}? 455/816 What is
{ "pile_set_name": "DM Mathematics" }
. Put w, 4/11, -4 in ascending order. -4, w, 4/11 Let c be (10/12)/(85/(-153)). Put c, 66/5, -0.2 in decreasing order. 66/5, -0.2, c Let l be -1 + 2*3 + -1. Let k = -4421 - -4402. Put l, k, 1 in increasing order. k, 1, l Let m = 5.1 - 6.7. Let t = -3.6 - m. Let o = 2.95 - -0.05. Sort o, 1/7, t in descending order. o, 1/7, t Suppose -2*w - 1 = -l + 2, 0 = -4*l - w - 15. Put l, 4, -1, 11 in decreasing order. 11, 4, -1, l Let z = 1079/35 + -220/7. Put 2/3, -2, z, 423 in decreasing order. 423, 2/3, z, -2 Suppose h = -4*h - 25. Let c be (-16)/56 + 46/14. Let t be 2*(c/6 - 2). Put h, t, 0 in descending order. 0, t, h Let a be -1 - ((-2)/(-4) + -1). Let x = -0.46 + -0.24. Let r = 0.6 + x. Sort a, 3, r in decreasing order. 3, r, a Suppose -3*g + 5 = 5*y, -17 - 1 = -y - 4*g. Let b = 4.6504 + 0.0596. Let v = b + 0.29. Sort 1, v, y. y, 1, v Let j(n) = -3*n**2 - 23*n + 103. Let a be j(4). Sort 2, a, 4 in descending order. 4, 2, a Let r = -23 + 12. Sort -0.3, r, 0, -3 in ascending order. r, -3, -0.3, 0 Suppose -5*l - b = 19, -2*l - 7 = 2*b + 7. Put -0.03, 12, l, 0 in descending order. 12, 0, -0.03, l Suppose -11 = 7*h + 80. Let m = -11 - h. Sort 0, -4, m in decreasing order. m, 0, -4 Suppose 4*z = 4*x + 28, -4*x + 1 - 5 = 2*z. Let f(d) = -2*d**2 - 3 + 4 + 13*d - 4. Let q be f(6). Put -4, q, x in decreasing order. q, x, -4 Suppose -2*u + u + x = -5, u + 4*x + 20 = 0. Suppose u = -2*s - 46 - 106. Let p be (-2)/6 + s/(-84). Sort 1, p, -4/7 in decreasing order. 1, p, -4/7 Suppose -5*n - 437 = -24*n. Sort 4, -2, n in decreasing order. n, 4, -2 Let g = 0.3 + 0.05. Let u = 0.98 - g. Let b = -0.23 + u. Put -0.2, b, 3/10 in ascending order. -0.2, 3/10, b Let y = -6 - -11. Suppose -4*h + 880 = -0*h. Let d be 2/(-5) - (-48)/h. Put d, y, -6 in descending order. y, d, -6 Let z = 59 - 63. Let n(i) = -i**2 + 8*i - 11. Let x be n(3). Sort x, z, 2, -3. z, -3, 2, x Let a = -872.4 - -872. Let x = -6 - -37/6. Put a, x, -7 in decreasing order. x, a, -7 Let x = -0.5 + 0.1. Let o be ((-2)/6)/((-2)/3). Put x, 4, 0.3, o in increasing order. x, 0.3, o, 4 Let g be -6*1*2/4. Suppose 3*q + y = 13 - 75, 3*q = 2*y - 56. Let x = 20 + q. Sort x, 4, g in descending order. 4, x, g Suppose -27 = -5*j + u, -22 = -4*j - 2*u + 3*u. Suppose -73 - 110 = -61*q. Suppose -4*a + 3*z = -8*a + 20, 5*a + z - 14 = 0. Put j, q, a in decreasing order. j, q, a Let i be 1953/35 + (-4)/5. Let j be (i/(-60))/(5/(-9)). Let z = -3/20 + j. Sort 1, z, 3. 1, z, 3 Let a = -8.1 + 8. Let b = -323 - -296. Sort b, a, -1 in increasing order. b, -1, a Let p = 62 + -37. Let z = -20 + p. Put -2, z, -1/3 in increasing order. -2, -1/3, z Suppose -32*r + 23 + 265 = 0. Sort r, -3, 3, 25. -3, 3, r, 25 Let v = 2.2 + -41.2. Let y = 39 + v. Put y, 5, -4, 4/7 in increasing order. -4, y, 4/7, 5 Let m be 18/48 - (-87)/24. Sort 0, 10, m in descending order. 10, m, 0 Suppose 2*i = -3*i + 40. Let x(s) = -s**3 + 8*s**2 + s - 9. Let w be x(i). Sort 1, w, 4. w, 1, 4 Suppose -2*q + 5*x - 3*x + 12 = 0, 3*q = -3*x - 6. Put -5, -1, 3, q in descending order. 3, q, -1, -5 Let q = 129 - 127. Let o(b) be the third derivative of -b**6/120 - b**5/20 + b**4/4 + 2*b**3/3 + 2*b**2. Let x be o(-4). Put x, 5, q in descending order. 5, q, x Let w = -123 + 368/3. Let u = 0.057 + -0.017. Sort w, -0.5, u, -5 in decreasing order. u, w, -0.5, -5 Suppose -b = 5*o - 20, 61*o = -2*b + 59*o. Sort 5, -2, 11, b in descending order. 11, 5, -2, b Suppose -c - 4 = j, 3*c = -j + 4 - 12. Let q be 8/9*-3 - -2. Sort -3/2, c, q. c, -3/2, q Let s = 881/2 - 441. Put -0.2, s, 1/5, -2/53 in increasing order. s, -0.2, -2/53, 1/5 Let l = 494.5 - 489.5. Let v = -0.59 - 0.01. Put l, 6, v in increasing order. v, l, 6 Let a = -3 - -7. Suppose -2*g + 8 = a. Let l be -1*(7 - 3) - -3. Put l, 3, g in descending order. 3, g, l Suppose c = 6*c - 15. Let d be 15 + (-1)/(c/15). Sort 5, d, -2 in decreasing order. d, 5, -2 Let g = -76 - -75.49. Let h = -0.25 - g. Let q = h - 0.06. Sort 0.4, q, -2 in descending order. 0.4, q, -2 Suppose -10*h - 22 = h. Sort -257, h, 0 in increasing order. -257, h, 0 Let g = 116.2 + -117. Sort 2/5, 2, g, -0.5 in ascending order. g, -0.5, 2/5, 2 Let n = -8.79 - -8.39. Let y = -5 - -2. Sort 4, n, y. y, n, 4 Let s be 3 - 6*(-2)/3. Let x be -3*((-154)/6)/s. Sort 4, x, -1 in ascending order. -1, 4, x Let t be (24/9 - 2) + (-888)/9. Let i be (-4)/(-14) + 322/t - -3. Let z be 32/(-14) - 4/(-14). Sort i, z, 5 in descending order. 5, i, z Suppose -23*b + 10 = -28*b + 2*g, -b + 4*g - 2 = 0. Put 43, 4, b, -3 in descending order. 43, 4, b, -3 Suppose -63 = -t - 2*t. Let j = 2005 - 2006. Sort t, 0, j in ascending order. j, 0, t Let z = -120.4 - 9.6. Let v = z - -129.8. Let s = -4 - -2. Sort 0, s, v in descending order. 0, v, s Suppose -20 - 40 = -4*j. Let d = 118 - 115. Put d, 4, 0, j in descending order. j, 4, d, 0 Let h = -19.709 + 0.709. Sort -3/4, h, 4, -5 in decreasing order. 4, -3/4, -5, h Let v = 6 - 9. Let b = 40 - 41. Sort v, -5, b, 3 in decreasing order. 3, b, v, -5 Let q(a) = a + 5. Let d(n) = -9*n - 40. Let k(c) = -6*d(c) - 51*q(c). Let f be k(7). Suppose -26 = 4*g - f. Put -2, 5, g in ascending order. g, -2, 5 Suppose -7*z = -4*k - 12*z + 60, 4*z = -3*k + 46. Put 2, -10, k in increasing order. -10, 2, k Let v(u) = u**2 + u + 1. Let f be v(0). Suppose 2*x + 5 = 1. Suppose -3*i = 2*k + i - 30, -2*k - i + 15 = 0. Sort k, x, f in ascending order. x, f, k Let r be 3*-1*2/(-22). Suppose 0 = 13*l + 172 - 198. Sort r, l, 2/9 in ascending order. 2/9, r, l Let p = 74 - 77. Let c(l) = -l**3 + 7*l**2 - 7*l + 6. Let b be c(6). Put 3, b, p in decreasing order. 3, b, p Let l = 1693724 + -32188301/19. Let d = l - -397. Let g = 1 + -1.2. Sort d, -2, g. -2, g, d Let t(m) = m**2 + 14*m + 19. Let u be t(-12). Let r(q) = 2*q + 8. Let i be r(u). Put 2, 5, i in ascending order. i, 2, 5 Let m = -5835.3 + 5835. Let d be -2*1 - 710/(-168). Let h = -37/12 + d. Put 0.1, m, h in ascending order. h, m, 0.1 Suppose 0 = -3*w + w + 10. Let n(l) be the third derivative of l**5/60 - 13*l**4/24 + 5*l**3/6 + 15*l**2. Let h be n(12). Sort w, -4, h in decreasing order. w, -4, h Suppose -25*i - 65 = -12*i. Put 3, -2, 22, i in descending order. 22, 3, -2, i Let o = 208 - 207. Let c be (-6 + 2)*(-10)/8. Sort o, c, -2 in ascending order. -2, o, c Suppose -3*l + 9 = c, -4*c + 1 = -2*l + 7. Let t(d) = -d + 14. Let q be t(10). Put -6, c, q in descending order. q, c, -6 Suppose 6 = 2*v, 2*d + d + v = -3. Let m(n) = n**3 - 29*n**2 + n - 24. Let s be m(29). Sort d, -4, s, 4. -4, d, 4, s Suppose -13 = 3*k - 5*x, -2*k = -3*k + 5*x - 21. Let n(a) = -a - 15. Let u be (-6)/12 - ((-162)/(-4))/3. Let h be n(u). Put 5, h, k in decreasing order. 5, k, h Suppose 4*p + 1 - 17 = 0. Suppose 3*n = -26 + 26. Put -3, p, n in decreasing order. p, n, -3 Let x be 48/1200*3/1. Sort -1/5, 5, -1, x in descending order. 5, x, -1/5, -1 Suppose 5*m = -2*o + 3*o - 13, -3 = m. Let l be o/(-8)*4/3. Let v be 1*(1 - 2)*3. Sort l, 2/5, v in decreasing order. 2/5, l, v Let a = -0.058 + -0.942. Let c = 0.2 + -8.2. Put -5, c, a in increasing order. c, -5, a Suppose -z + 455 = -0*z. Let n be z/(-28) + 2/8. Let u be (-2)/n*6*-4. Sort u, -1, 5 in decreasing order. 5, -1, u Let t = 95 - 94.9. Put -4, -13, t in descending order. t, -4, -13 Let s = 1.2 + -1.26. Let o be 1/((-132)/(-328)) + -3. Let r = o - -2/11. Sort r, s, 2/5. r, s, 2/5 Let z = 71 + -44. Let f = z - 31. Sort -3, 0, f in ascending order. f, -3, 0 Suppose 51*t + 42 = 9*t. Sort 4, -2, -13, t in descending order. 4, t, -2, -13 Let x be (3/(-2) - -2)*-2*-3. Put 2, x, -3 in decreasing order. x, 2, -3 Let b be (2/8)/(1/(-8))*2. Sort 4, -12, b in descending order. 4, b, -12 Let f be 7 - 3*16/12. Suppose -37 = 5*z - f*m, 3*m + 0*m - 2 = -2*z. Sort 1, z, 4 in descending order. 4, 1, z Suppose -20*a + 4 = -21*a. Sort -20, a, -1, 4. -20, a, -1, 4 Let v = 64 - 69. Sort 4, -2, -1, v in increasing order. v, -2, -1, 4 Let x be ((-3292514)/(-220))/(279441/6). Let a = x - 4/31049. Let q = 4/33 - a. Sort -2/5, q, -5 in descending order. q, -2/5, -5 Let z = 0.74 - 0.94. Let k = -17.6 + 18. Put 0.2, -0.3, z, k in descending order. k, 0.2, z, -0.3 Let m be ((13 - 5) + -9)*5. Sort 9, 8, m. m, 8, 9 Let y be 11 - 14 - (-43 - 0). Let i be (-11 - -7)*(-12)/16. Sort y, -5, i in ascending order. -5, i, y L
{ "pile_set_name": "DM Mathematics" }
enominator of 1/106 and 83/2. 106 Calculate the least common multiple of 56 and 10. 280 What is the smallest common multiple of 513 and 459? 8721 Calculate the common denominator of -29/30 and -1/32. 480 Calculate the smallest common multiple of 105 and 480. 3360 What is the common denominator of 29/98 and -55/28? 196 Find the common denominator of 73/861 and -73/27. 7749 Calculate the smallest common multiple of 4899 and 21. 34293 What is the smallest common multiple of 630 and 490? 4410 Calculate the smallest common multiple of 18 and 135. 270 Find the common denominator of -89/210 and -59/1365. 2730 Find the common denominator of 39/740 and -69/592. 2960 What is the common denominator of -65/56 and 101/80? 560 Find the common denominator of -79/72 and 97/136. 1224 Calculate the common denominator of -53/12423 and -55/3. 12423 Find the common denominator of -62/171 and -37/171. 171 Find the common denominator of -129/620 and 71/9. 5580 What is the smallest common multiple of 494 and 12? 2964 What is the least common multiple of 194 and 50? 4850 Calculate the smallest common multiple of 632 and 6. 1896 What is the lowest common multiple of 32 and 4? 32 What is the common denominator of 36/2185 and -41/6? 13110 Find the common denominator of -35/136 and -53/17. 136 Calculate the lowest common multiple of 523 and 3. 1569 Calculate the least common multiple of 18 and 24. 72 Find the common denominator of 32/81 and 37/414. 3726 What is the least common multiple of 34 and 374? 374 What is the least common multiple of 2 and 2616? 2616 Calculate the least common multiple of 795 and 3. 795 What is the common denominator of 25/46 and 95/8? 184 What is the common denominator of -40/33 and 5/121? 363 Find the common denominator of 95/4 and -85/41456. 41456 What is the least common multiple of 3 and 348? 348 Calculate the lowest common multiple of 9 and 30. 90 What is the lowest common multiple of 3 and 263? 789 What is the smallest common multiple of 2 and 5? 10 Calculate the smallest common multiple of 39 and 738. 9594 What is the common denominator of -29/8 and -27/38? 152 Calculate the least common multiple of 506 and 3. 1518 What is the smallest common multiple of 134 and 12? 804 Find the common denominator of 29/54 and -65/522. 1566 Calculate the smallest common multiple of 1822 and 10. 9110 What is the least common multiple of 22 and 1322? 14542 What is the least common multiple of 112 and 140? 560 Calculate the lowest common multiple of 24 and 3. 24 Find the common denominator of -61/5 and 13/406. 2030 What is the common denominator of -11/14 and -11/508? 3556 Calculate the smallest common multiple of 4860 and 2430. 4860 What is the lowest common multiple of 285 and 456? 2280 What is the common denominator of -1/24 and 139/564? 1128 What is the least common multiple of 51 and 54? 918 What is the least common multiple of 16 and 44? 176 What is the least common multiple of 28 and 208? 1456 Calculate the common denominator of -77/382 and -67/20. 3820 What is the lowest common multiple of 3 and 128? 384 What is the least common multiple of 1204 and 91? 15652 What is the common denominator of 209/630 and 43/30? 630 What is the common denominator of -41/2881 and 13/1340? 57620 Calculate the common denominator of -11/804 and 43/1005. 4020 What is the common denominator of 121/350 and 15/238? 5950 What is the common denominator of 21/356 and -5/14? 2492 What is the smallest common multiple of 99 and 121? 1089 Find the common denominator of 34/147 and 26/1113. 7791 Find the common denominator of -55/12 and 45/56. 168 Calculate the lowest common multiple of 15 and 10. 30 Calculate the least common multiple of 32 and 430. 6880 What is the common denominator of -69/1078 and -121/882? 9702 Calculate the lowest common multiple of 78 and 20. 780 Find the common denominator of -71/48 and -45/304. 912 Calculate the lowest common multiple of 180 and 684. 3420 What is the smallest common multiple of 8 and 638? 2552 Calculate the smallest common multiple of 28 and 36. 252 What is the least common multiple of 5472 and 40? 27360 Calculate the common denominator of 53/56 and -29/7. 56 Calculate the lowest common multiple of 78 and 150. 1950 Find the common denominator of 59/502 and -46/7. 3514 What is the lowest common multiple of 224 and 104? 2912 Calculate the least common multiple of 828 and 30. 4140 Calculate the smallest common multiple of 18 and 774. 774 What is the smallest common multiple of 296 and 703? 5624 Calculate the lowest common multiple of 4 and 39. 156 What is the smallest common multiple of 60 and 18? 180 What is the common denominator of -29/56 and -80/63? 504 What is the least common multiple of 6 and 2? 6 Calculate the lowest common multiple of 9439 and 7. 66073 Calculate the lowest common multiple of 340 and 51. 1020 What is the common denominator of 18/185 and -133/30? 1110 What is the smallest common multiple of 20 and 120? 120 What is the smallest common multiple of 21 and 981? 6867 What is the common denominator of -131/1360 and 17/76? 25840 What is the common denominator of 83/218 and 27/763? 1526 Find the common denominator of -69/40 and -61/160. 160 What is the common denominator of 53/4 and 97/4? 4 Find the common denominator of -107/28 and -71/518. 1036 What is the common denominator of -83/530 and 14/477? 4770 Calculate the smallest common multiple of 32 and 56. 224 Calculate the common denominator of -101/592 and -59/592. 592 Calculate the lowest common multiple of 8 and 276. 552 What is the smallest common multiple of 28 and 7? 28 Calculate the least common multiple of 747 and 996. 2988 What is the common denominator of 133/30 and -33/80? 240 What is the least common multiple of 32 and 64? 64 Calculate the smallest common multiple of 154 and 462. 462 What is the least common multiple of 261 and 51? 4437 What is the lowest common multiple of 250 and 105? 5250 What is the lowest common multiple of 15 and 24? 120 What is the common denominator of -69/7580 and 45/3032? 15160 What is the lowest common multiple of 2052 and 19? 2052 Find the common denominator of -41/405 and -127/90. 810 Calculate the least common multiple of 4 and 284. 284 What is the common denominator of -5/1039 and -34/13? 13507 Find the common denominator of -14/5 and 101/4. 20 Calculate the common denominator of 63/305 and -71/90. 5490 Calculate the lowest common multiple of 3 and 5463. 5463 What is the lowest common multiple of 135 and 285? 2565 What is the smallest common multiple of 48 and 576? 576 Calculate the lowest common multiple of 2 and 1742. 1742 Find the common denominator of 41/63 and -38/189. 189 Calculate the common denominator of 1/22 and -41/1928. 21208 What is the least common multiple of 102 and 306? 306 What is the lowest common multiple of 904 and 904? 904 What is the common denominator of 79/180 and 127/900? 900 Calculate the common denominator of -131/216 and 103/24. 216 Calculate the common denominator of -103/476 and 83/21. 1428 What is the common denominator of -85/52 and 8/65? 260 Calculate the least common multiple of 156 and 305. 47580 Calculate the common denominator of 41/6 and 119/1270. 3810 What is the lowest common multiple of 27 and 747? 2241 Find the common denominator of -14/275 and 7/75. 825 Find the common denominator of -14/135 and -77/20. 540 Find the common denominator of 87/760 and 53/152. 760 Calculate the lowest common multiple of 5 and 508. 2540 Calculate the least common multiple of 201 and 27. 1809 Calculate the least common multiple of 4 and 1428. 1428 Find the common denominator of -129/308 and 57/28. 308 Calculate the common denominator of -87/76 and -67/20. 380 Calculate the smallest common multiple of 9 and 921. 2763 What is the lowest common multiple of 204 and 272? 816 What is the smallest common multiple of 50 and 820? 4100 Find the common denominator of 97/2478 and -109/14. 2478 Calculate the common denominator of -113/1080 and 47/1350. 5400 Calculate the common denominator of -17/30 and 31/18. 90 What is the least common multiple of 232 and 56? 1624 Find the common denominator of 85/3172 and -81/8. 6344 What is the common denominator of 85/8 and 101/16? 16 Calculate the common denominator of -47/30 and 25/2
{ "pile_set_name": "DM Mathematics" }
lest common multiple of 29547 and 30016. 1891008 Calculate the least common multiple of 3204 and 1869. 22428 What is the lowest common multiple of 6 and 752228? 2256684 What is the least common multiple of 8668 and 711564? 7827204 Find the common denominator of -185/462 and 35/5802. 446754 What is the lowest common multiple of 30 and 172020? 172020 Calculate the common denominator of 37/160 and -21/65132. 2605280 What is the lowest common multiple of 196668 and 24? 393336 Find the common denominator of -149/8304 and -109/36. 24912 Find the common denominator of -55/1629 and -49/2159. 3517011 What is the lowest common multiple of 8 and 193999? 1551992 What is the common denominator of -69/1051306 and -109/41390? 5256530 Find the common denominator of -61/2244 and 29/146574. 3224628 What is the least common multiple of 393992 and 136? 393992 What is the lowest common multiple of 20474 and 18? 184266 Calculate the common denominator of 86/24453 and 151/17784. 195624 What is the least common multiple of 40032 and 30024? 120096 Calculate the common denominator of 211/39060 and -61/1550. 195300 What is the smallest common multiple of 1134 and 1062? 66906 What is the smallest common multiple of 895 and 80371? 401855 Find the common denominator of 29/508650 and 53/75. 508650 Calculate the lowest common multiple of 22 and 22732. 250052 Calculate the least common multiple of 258286 and 1942. 258286 Calculate the lowest common multiple of 84036 and 196084. 588252 Calculate the lowest common multiple of 9 and 2563. 23067 What is the least common multiple of 330 and 46500? 511500 Find the common denominator of -45/2086 and 143/6. 6258 What is the common denominator of 22/263925 and 82/8211? 1847475 What is the smallest common multiple of 5800 and 4640? 23200 What is the common denominator of 107/24198 and -57/4? 48396 Calculate the lowest common multiple of 10507 and 3059. 241661 Calculate the least common multiple of 83190 and 885. 83190 Calculate the least common multiple of 45 and 27252. 136260 What is the smallest common multiple of 160 and 88048? 880480 Calculate the lowest common multiple of 76 and 11018. 418684 Calculate the lowest common multiple of 14 and 129426. 905982 Calculate the common denominator of -49/256194 and 11/688. 2049552 Calculate the smallest common multiple of 4240 and 174264. 1742640 What is the smallest common multiple of 221282 and 16? 1770256 What is the lowest common multiple of 34506 and 5112? 138024 What is the smallest common multiple of 33150 and 1430? 364650 Find the common denominator of -5/57 and -55/15454. 880878 What is the common denominator of 61/34089 and -15/22726? 68178 What is the least common multiple of 638 and 25? 15950 Calculate the common denominator of 59/8 and -14/51477. 411816 Find the common denominator of 79/1750 and 37/4. 3500 Calculate the least common multiple of 73980 and 84. 517860 Find the common denominator of 31/1756 and -11/331. 581236 Calculate the common denominator of 109/192 and -73/8512. 25536 What is the smallest common multiple of 608 and 178720? 3395680 Calculate the smallest common multiple of 521 and 2605. 2605 Calculate the least common multiple of 126 and 2395246. 21557214 What is the smallest common multiple of 25620 and 45? 76860 What is the least common multiple of 3680 and 59800? 239200 Calculate the lowest common multiple of 3448 and 1848. 796488 Find the common denominator of 43/10353 and -7/5916. 41412 Calculate the smallest common multiple of 157333 and 14303. 157333 What is the smallest common multiple of 278110 and 1450? 1390550 Calculate the lowest common multiple of 9408 and 111342. 24940608 What is the least common multiple of 2168 and 2976? 806496 What is the least common multiple of 133056 and 1008? 133056 Find the common denominator of -17/130 and -91/1474860. 19173180 What is the common denominator of 31/2207830 and -101/22? 24286130 Calculate the least common multiple of 255 and 8440. 430440 Calculate the common denominator of 39/2443876 and -73/20. 12219380 What is the lowest common multiple of 12804 and 308? 89628 What is the common denominator of 19/11216 and 25/36? 100944 What is the common denominator of -17/1089 and -2/44649? 44649 What is the least common multiple of 376125 and 21063? 2632875 Find the common denominator of 93/4552 and 119/894. 2034744 Calculate the common denominator of 87/280 and -1/758800. 758800 What is the common denominator of -125/1062 and -121/354? 1062 What is the common denominator of -149/3900 and -97/150? 3900 Calculate the common denominator of -127/288 and -151/1104. 6624 Calculate the smallest common multiple of 2032 and 5232. 664464 What is the least common multiple of 34554 and 63349? 380094 Find the common denominator of 79/85040 and 65/4. 85040 Calculate the least common multiple of 42156 and 38643. 463716 What is the common denominator of -127/1488 and 101/60? 7440 What is the lowest common multiple of 31596 and 162? 853092 What is the lowest common multiple of 10248 and 9? 30744 What is the common denominator of 83/2104 and -23/281410? 1125640 What is the common denominator of 95/2457 and 52/46305? 601965 What is the least common multiple of 80820 and 900? 404100 What is the common denominator of 18/15965 and -26/552389? 2761945 Find the common denominator of 113/120 and 101/12030. 48120 What is the lowest common multiple of 229299 and 15? 1146495 Find the common denominator of -23/6018 and 127/132. 132396 What is the common denominator of -28/1923 and 41/1215? 778815 Find the common denominator of -13/2728 and 79/365552. 365552 What is the lowest common multiple of 98 and 350? 2450 What is the smallest common multiple of 1924398 and 14? 1924398 What is the common denominator of -67/6 and -40/50101? 300606 Calculate the common denominator of 113/420 and -97/130452. 652260 Find the common denominator of -105/10054 and 32/5941. 130702 Calculate the smallest common multiple of 2013972 and 671324. 2013972 What is the least common multiple of 30942 and 37818? 340362 Find the common denominator of 31/330 and 79/174240. 174240 Calculate the smallest common multiple of 45962 and 134. 45962 What is the common denominator of 11/3249 and -65/228? 12996 What is the common denominator of 44/472997 and -145/810852? 5675964 What is the smallest common multiple of 2765 and 8295? 8295 Calculate the least common multiple of 4740 and 84. 33180 Calculate the least common multiple of 913155 and 32229. 2739465 Find the common denominator of 107/416448 and -25/52056. 416448 Calculate the smallest common multiple of 168 and 64974. 259896 What is the common denominator of -131/140770 and -1/49? 985390 Find the common denominator of 83/1023572 and -113/9460. 5117860 Find the common denominator of -5/154 and 23/1452. 10164 Calculate the common denominator of -7/141 and -38/939. 44133 Calculate the lowest common multiple of 16880 and 3376. 16880 Calculate the common denominator of 137/12336 and 125/12. 12336 Find the common denominator of 81/7780 and 69/59128. 295640 Calculate the lowest common multiple of 15 and 15120. 15120 What is the least common multiple of 938 and 804? 5628 What is the smallest common multiple of 1584 and 31824? 350064 What is the least common multiple of 26078 and 14? 182546 Calculate the common denominator of 79/72 and -68/7623. 60984 Calculate the lowest common multiple of 12 and 20974. 125844 Calculate the least common multiple of 11 and 1192894. 13121834 Calculate the common denominator of -8/33979 and 39/44. 135916 What is the common denominator of 71/133560 and -32/45? 133560 Calculate the least common multiple of 34860 and 17430. 34860 Find the common denominator of 65/697516 and 69/1442. 4882612 Find the common denominator of -59/6384 and -107/33360. 4436880 Calculate the least common multiple of 8960 and 560. 8960 Find the common denominator of 139/1740 and -47/1824. 264480 Find the common denominator of -37/7890 and 34/71799. 717990 Calculate the lowest common multiple of 288 and 549504. 549504 What is the common denominator of -51/659140 and -57/263656? 1318280 Calculate the lowest common multiple of 1 and 63. 63 Calculate the common denominator of -70/327 and 53/356430. 356430 Calculate the least common mul
{ "pile_set_name": "DM Mathematics" }
(d) = 2*o(d) - 3*s(d). Let r(z) = -4*z**2. Calculate h(r(g)). 12*g**2 Let m(h) = -2*h. Let v(s) be the second derivative of 5*s**3/6 + 4*s - 6. Calculate v(m(a)). -10*a Let k(o) = 39*o**2. Let h(g) = -379*g - 2. What is h(k(y))? -14781*y**2 - 2 Let o(p) = -3789*p. Let f(l) = 643*l. Determine f(o(k)). -2436327*k Let r(a) = 9*a. Let t(p) = -9*p**2 - 2*p + 50. What is t(r(u))? -729*u**2 - 18*u + 50 Let p(h) = -340*h. Let s(u) = -322*u + 15. What is s(p(t))? 109480*t + 15 Let w(k) be the third derivative of k**4/12 + 4*k**2 + 4*k. Let b(s) be the second derivative of -5*s**3/2 + s. Determine b(w(p)). -30*p Let c(a) = -a. Let g(j) = 61*j**2 + 8*j - 8. Let y(t) = -23*t**2 + 42*t**2 + 5*t + 22*t**2 - 5. Let u(r) = -5*g(r) + 8*y(r). Calculate c(u(l)). -23*l**2 Let l(v) = -14*v. Let d(p) = 3*p**2 + 0*p**2 + p**2. Let s(b) = -9*b**2. Let z(r) = r**2 - 5. Let x be z(0). Let q(i) = x*d(i) - 2*s(i). What is l(q(m))? 28*m**2 Let d(v) = -19*v. Let u(r) = 3*r**2 - 5*r + 5. Let z(k) = -k + 1. Let s(y) = -u(y) + 5*z(y). Give d(s(p)). 57*p**2 Let b be 0 + (-2)/(-1) - 0. Let d(i) = 5*i**b - 8*i**2 + 4*i**2. Let a(y) = 12*y**2. Calculate a(d(q)). 12*q**4 Let o(h) = 340726*h. Let p(q) = q. Calculate p(o(b)). 340726*b Let i(c) = 3*c. Let y(n) be the third derivative of -11*n**5/60 + 2*n**2 - 8. Determine i(y(x)). -33*x**2 Let x(h) = 2732*h + 3. Let i(k) = -7*k**2. Give x(i(f)). -19124*f**2 + 3 Let h(p) = 2*p**2. Let y(v) = 8 + 936*v + 18*v**2 - 936*v. What is y(h(n))? 72*n**4 + 8 Let d = -53 - -71. Let q(b) = 805*b + d*b**2 - 805*b. Let m(k) = -k**2. What is m(q(c))? -324*c**4 Let i(n) = -26*n**2 + 6*n**2 + 28*n**2 + 18*n**2. Let r(s) = -16*s**2. Determine i(r(x)). 6656*x**4 Let n(f) = 48*f. Let r(g) be the second derivative of g**6/720 + g**4/4 - 31*g. Let b(c) be the third derivative of r(c). Calculate b(n(m)). 48*m Let w(f) be the first derivative of f**2 - 1. Suppose 3*z = 4 - 16. Let j(r) = r. Let m(i) = 4*i. Let g(a) = z*m(a) + 14*j(a). Give g(w(x)). -4*x Let w(f) = -f. Let k = -13 + 15. Let x(h) = 118 - 118 + k*h + 2*h. Let m(v) = 7*w(v) + 2*x(v). Let q(a) = 3*a. What is q(m(i))? 3*i Let o(k) = -4*k. Suppose -3*v - 5*u + 20 = 2, -u = -2*v - 1. Let d(n) = -1. Let y(t) = t + 6. Let m(x) = v*y(x) + 6*d(x). Give m(o(w)). -4*w Let n(c) = -c**2 + 3*c. Let p(b) be the first derivative of -b**4/24 + 9*b**2/2 - 13. Let h(u) be the second derivative of p(u). Give n(h(r)). -r**2 - 3*r Let k(y) be the second derivative of y**3/6 + y. Let g(a) = 2*a. Suppose -10*f = -29*f + 57. Let p(h) = f*k(h) - 2*g(h). Let t(r) = -7*r. Give t(p(n)). 7*n Let j(y) = -3*y. Let x(u) = u**2 - 4*u + 6. Let k be x(4). Let v = k - 4. Let g(r) = -46 + 46 - v*r**2. Determine g(j(n)). -18*n**2 Let n(a) = -7*a. Suppose -10 = 30*d - 35*d. Let o(x) = -10*x**d + 4*x**2 + 10*x**2. Give o(n(z)). 196*z**2 Let s(w) be the second derivative of -5*w**3/6 + 2*w - 67. Let m(u) = -3*u. Give m(s(r)). 15*r Let g(x) be the second derivative of 1/6*x**4 + 0*x**3 - 51*x + 0 + 0*x**2. Let v(m) be the second derivative of 4*m**3/3 - m. Determine v(g(h)). 16*h**2 Let m(h) = -3*h. Let u(n) = 1621423*n**2. What is m(u(d))? -4864269*d**2 Let l(v) = 2*v + 121. Let y(d) be the first derivative of -2*d**3/3 + 159. Give y(l(x)). -8*x**2 - 968*x - 29282 Let r(z) = 2*z**2. Let n(a) = 7*a + 15*a - 33*a + 28*a. What is r(n(v))? 578*v**2 Let d = 106 - 102. Let k(f) = 15 + 4*f**2 - 4*f**2 - 3*f**2 - d. Let h(j) = j. Calculate k(h(z)). -3*z**2 + 11 Let c(d) be the third derivative of d**4/4 + 7*d**2. Let k(g) be the third derivative of 11*g**4/24 + 154*g**2. Give k(c(t)). 66*t Let g(m) = 5*m - 5*m + m. Let b(j) = j. Let t(w) be the third derivative of 13*w**4/12 + 5*w**2. Let d(r) = -10*b(r) + t(r). Give d(g(s)). 16*s Let h(t) = -3*t - 17. Let l(w) = 3*w**2 + 375*w. Calculate h(l(n)). -9*n**2 - 1125*n - 17 Let c(d) = -4*d**2. Let f(s) be the first derivative of -39*s**2/2 + 62. Calculate f(c(a)). 156*a**2 Let l(c) be the second derivative of -c**3/6 + c. Let k(r) be the first derivative of -16 - 1/3*r**3 + 0*r**2 + 0*r. What is k(l(d))? -d**2 Let c(s) = -s - 81 + 166 - 85 - s. Let z(j) = -278*j. Determine z(c(i)). 556*i Let j(f) = 59*f - 37*f - 37*f. Let z(b) = 2*b. Determine z(j(v)). -30*v Let z(q) = 6*q + 3. Let o(t) = -7552*t. Determine z(o(f)). -45312*f + 3 Let k(r) = -6*r. Let j(p) = -p**2 - 6*p. Let a(d) = 16*d**2 + 18*d. Let t(y) = -a(y) - 3*j(y). Calculate k(t(b)). 78*b**2 Let t = 1115 - 1101. Let g(p) be the second derivative of 0*p**2 - t*p + 0 - 1/6*p**3. Let s(x) = -5*x**2. What is g(s(m))? 5*m**2 Let m(u) = -u**2. Let i(a) = -98*a**2. Let q(l) = -2*i(l) - 18*m(l). Let v(y) = 2*y**2. Give v(q(j)). 91592*j**4 Let o(f) = 19*f. Let k(p) = -161*p**2 - 15*p - 1. Determine o(k(d)). -3059*d**2 - 285*d - 19 Let p(k) = -k**2 - 7*k + 7. Let j(a) = a**2 + 4*a - 4. Let z(g) = -7*j(g) - 4*p(g). Let f(x) = -8*x. Let l(u) = 3*u. Let o(y) = -f(y) + 5*l(y). Give z(o(q)). -1587*q**2 Let r(f) = 2*f + 94. Let h(w) = -13*w. Give r(h(t)). -26*t + 94 Let d(k) = 75*k - 33*k - 25*k - 23*k. Let x(u) = -27*u**2. Calculate x(d(j)). -972*j**2 Let s(c) = 17*c**2 - 3. Let l(j) = -35*j**2 + 5. Let g(a) = -2*a**2 - 2*a + 2. Let n be g(-3). Let b(p) = n*s(p) - 6*l(p). Let y(u) = -2*u. Calculate y(b(v)). -80*v**2 Let p(u) = -2*u**2 + 75961*u. Let c(i) = -i**2. What is p(c(s))? -2*s**4 - 75961*s**2 Let c(n) = n. Let l(o) be the second derivative of -3*o + 0 + 0*o**3 + 1/3*o**4 + 3/2*o**2. Calculate c(l(w)). 4*w**2 + 3 Let d(b) be the first derivative of 7/2*b**2 + 0*b + 11. Let p(j) = 5*j**2. Calculate p(d(s)). 245*s**2 Let b(g) = -46*g - 5. Let n(z) = -10*z - 1. Let l(r) = -b(r) + 5*n(r). Let k(x) = 3*x**2 - 13*x. Determine l(k(w)). -12*w**2 + 52*w Let i(j) = 12*j. Let q(l) = 24*l. Let g(m) = -13*i(m) + 6*q(m). Suppose c - 1 = 2*c, 0 = r - c - 3. Let a(n) = -5*n**2 - 5*n**2 + 12*n**r. Determine g(a(w)). -24*w**2 Let c(o) be the third derivative of o**4/24 + o**2. Let n(r) be the third derivative of 7*r**4/2 - r**3/6 + r**2 - 2637. Determine c(n(i)). 84*i - 1 Let r(b) = -140*b + 69*b + 73*b + 20. Let s(p) = 2*p. What is r(s(x))? 4*x + 20 Let n(v) be the first derivative of -v**3 - 434. Let f(y) = 10*y**2. What is f(n(s))? 90*s**4 Let i(g) = 3*g - 1. Let h(v) = v - 2. Let n(j) = -h(j) + i(j). Let c(q) be the third derivative of q**5/60 - 5*q**2. Calculate c(n(d)). 4*d**2 + 4*d + 1 Let u(n) = 2*n**2. Let c(m) = 36*m**2 - 11. Let w = -76 + 70. Let z(x) = -7*x**2 + 2. Let p(v) = w*c(v) - 33*z(v). What is p(u(b))? 60*b**4 Let x(d) = -4*d. Let y(c) = c - 14373. Determine y(x(v)). -4*v - 14373 Let m(k) = 24*k - 6. Let t be m(10). Suppose -2*b + t = b. Let d(a) = 78 - b - 4*a**2. Let v(y) = -y**2. Give d(v(z)). -4*z**4 Let m(x) = -452*x. Let b(i) be the third derivative of -i**4/24 + 3*i**2 + 35*i. What is m(b(a))? 452*a Let k(p) = p. Let i(c) = -2 + 115*c**2 + 7*c - 50*c + 43*c + 27*c**2. Calculate i(k(g)). 142*g**2 - 2 Let p(x) = -x**3 - 2*x + 5. Let m be p(0). Let j(y) = -6*y - 5 + m. Let c(w) = 4*w. Calculate j(c(f)). -24*f Let r(b) = 0 - 3*b**2 + 0. Let m(f) be the first derivative of f**4/6 + 51*f + 12. Let o(g) be the first derivative of m(g). Give r(o(j)). -12*j**4 Let j(h) = -4*h. Let n(k) = -48*k**2 + 24*k + 1. Let d(m) = 96*m**2 - 54*m - 3. Let a(z) = 4*d(z) + 9*n(z). Determine j(a(s)). 192*s**2 + 12 Let q(d) = 2*d**2. Let l(u) = -313859*u. What is q(l(f))? 197014943762*f**2 Let i(n) = -1200*n**2. Let q(k) = 2586*k**2 - 2*k. Calculate q(i(g)). 3723840000*g**4 + 2400*g**2 Suppose 40 = t + 4*t. Let c(f) = t*f - f - 5*f. Let y(i) = -3*i - 135 - 129 + 392 - 128. Calculate c(y(x)). -6*x Let t(s) = -2 - 2 - 2 - s + 2. Let d(v) = -12*v. Determine d(t(y)). 12*y + 48 Let c(s) = -14317*s. Let d(y) = 3*y**2. Determine d(c(m)). 614929467*m**2 Let k(z) = z**2 + 18. Let o(w) = 2*w**2 + 24. Let c(l) = -4*k(l) + 3*o(l). Let v(x) = 6*x + 9. What is c(v(y))? 72*y**2 + 216*y + 162 Let f(d) = -4*d. Let p(n) = -3494*n**2. Give p(f(i)). -55904*i**2 Let o(u) = 9*u - 7. Let i(v) = -26*v + 20. Let j(z) = 4*i(z) + 11*o(z). Let f(d) = 6*d - 4. Let c(y) = 3*f(y) + 4*j(y). Let p(l) = 34*l**2. What is p(c(s))? 136*s**2 Let t(s) be the second derivative of -31*s**3/6 + 93*s. Let b(y) = -5*y**2. Give t(b(n)). 155*n**2 Let s(i) = -65*i**2. Let t(g) = -5*g**2 - g - 9. Calculate t
{ "pile_set_name": "DM Mathematics" }
be t/(-49)*49/g. What is the second biggest value in r, 4/3, 0.4? 0.4 Let z(n) = -n**3 + 5*n**2 - 6*n + 3. Let r = -2 + 6. Let x be z(r). Which is the second biggest value? (a) 1/2 (b) x (c) -2 c Let a = -1.93 - 0.07. Let w = -4 - a. Let f = -0.3 - -0.5. What is the biggest value in 0.3, w, f? 0.3 Suppose -3*l + 6 = 0, 3*z = z + 4*l - 10. Let h = -3 + 5. What is the smallest value in -1/6, h, z? z Let m = -64 - -62. What is the biggest value in m, 1, 3? 3 Let y = -6 - -4. Let u = 0.3 + -0.1. Which is the smallest value? (a) u (b) -5 (c) y b Let k = 2/87 - -56/87. Let j be ((-3)/2)/(6/(-8)). What is the biggest value in k, 1, j? j Let r = -0.122 + 4.122. Which is the fourth smallest value? (a) -5 (b) 1/10 (c) r (d) 11/2 d Let j = -2.2 + 12.2. Let v = 9.7 - j. What is the third biggest value in 1, 0, v? v Let f(h) = -14*h**2 - 7*h - 6. Suppose 4*v + 24 = -5*g, 0*v - 2*v - 14 = 3*g. Let i be f(g). Let y = i + 1816/9. What is the smallest value in -1, y, -5? -5 Suppose 7 = 2*x + 1. Let w = 4 - x. Let d = -0.358 + 0.058. Which is the second smallest value? (a) w (b) d (c) -1 b Let y = 8 + -13. Let h = 0 - -1. Let m = 0 - h. What is the third biggest value in 1, y, m? y Let g = 21 - 21.33. Let l = g - -0.03. Let x = -0.5 - -0.3. Which is the smallest value? (a) x (b) 0.2 (c) l c Let k = -14 + 23. What is the second smallest value in k, 5, 0.3? 5 Let t = -0.07 + 4.07. Let w = 472.9 + -473. Let b = -3 + 2. What is the second biggest value in t, b, w? w Suppose 5*g + 15 = 2*g. Let v be ((-9)/7 - -1) + 0. What is the second biggest value in g, v, 0.3? v Let q = -0.8 + 1. Let i(t) = -3*t**2 - t + 1. Let a be i(-2). Let g = a - -12. What is the third smallest value in q, g, -3/5? g Let z(f) = -2*f**2 + 5*f - 6. Let i be z(1). What is the second biggest value in i, -3/8, -42, -1? -1 Let a = -110 + 108. Let g = 0.34 - 0.04. Let t = g - 0.4. What is the smallest value in a, -0.4, t? a Let v = 12.04 - 12. Let c = -27.56 + 28. Let s = v - c. What is the third smallest value in s, -1/4, 3? 3 Let p = -0.9 - 0. Let k = p + 2.9. Which is the second smallest value? (a) 5 (b) 0.1 (c) k c Let d(o) = o**2 + 6*o - 1. Let q be d(-9). Let s be (-34)/(-52) + (-4)/q. Let j = 0.3 - 0.5. Which is the second smallest value? (a) s (b) -5 (c) j c Let u be 2/(-2 + 3) + -15. Let l be 2/u + 284/156. What is the biggest value in l, -3, -2? l Let z = -0.1 + 0. Let l = -36 + 14. Let u = -22 - l. Which is the second biggest value? (a) z (b) 5 (c) u c Let u = 39.2 - 36. Let r = u + -3.1. Let p = 1 + -6. What is the biggest value in p, r, -1/7? r Let u = 4 + -7. Let w = -11.7 - -3. Let j = -9 - w. What is the second smallest value in j, 0.2, u? j Let s = -15/4 + 53/12. Which is the third smallest value? (a) s (b) -0.5 (c) 6 (d) 0.2 a Let j = 0 + -0.5. Let x = -24 - -44. Let a be (4/(-10))/((-4)/x). What is the third smallest value in j, a, 2/5? a Suppose 0*a = 2*a - 6. Let t = 261.6 - 262. What is the third biggest value in a, 1, t? t Let d(q) = q - 1. Let o be d(5). Let n = -0.2 + 0.1. Which is the second smallest value? (a) n (b) 2 (c) o b Let j = 1 - 1.4. Suppose -l = 4*m - 50, 0*l - 3*m - 144 = -2*l. Let n = 461/7 - l. Which is the smallest value? (a) 2/7 (b) j (c) n b Let g = 0.04 + 0.16. What is the second smallest value in -3/4, 4, g? g Let v = 7.7 + -8.2. Which is the third smallest value? (a) v (b) 3 (c) -0.3 b Let q = 831/4 + -207. Which is the third smallest value? (a) -1 (b) -3 (c) 1 (d) q d Let r = 19 + -11. Let t = -10 + r. Which is the second biggest value? (a) -3/2 (b) t (c) 0.3 a Let y = -0.82 - -35.82. Let l = y - 36.94. Let t = -0.06 + l. What is the smallest value in t, 3/8, 1/4? t Let b(p) = -p**2 + 3*p + 4. Let r be b(4). What is the third smallest value in r, 1, -3, 15? 1 Let g(h) = -h - 4. Let y be g(-3). Let l = 0 - 0.4. Let o = -0.7 - l. Which is the second smallest value? (a) o (b) 0.5 (c) y a Let h = -0.9 - -0.8. Let r = 0.25 + -0.24. Which is the third biggest value? (a) h (b) -1 (c) r b Let q = -167/4 + 42. Which is the third smallest value? (a) -4/5 (b) q (c) -1/3 b Let f = -2 + 4. Let b be ((-8)/2 - 2) + f. Let d be b/(-10) - (-13)/5. What is the third biggest value in d, -1, -0.1? -1 Let i = -4.2 + 0.2. Let x(l) = -l**2 - 6*l - 7. Let w be x(-5). Which is the third smallest value? (a) i (b) -2/9 (c) w b Let g = 0 - 3. Let x = 3.5 + g. Let c be -1 + 21*(-2)/(-48). What is the second smallest value in x, c, 1? x Let w = -31 - -34. Which is the second biggest value? (a) -8 (b) -0.4 (c) w b Let n be (-3)/(-7) + (-418)/665. Let v be (1 + 0)*(0 - 83). Let a = v + 244/3. What is the third biggest value in 1, n, a? a Let f = 4 - 7. Let o = -607/3 + 201. What is the biggest value in o, -5, f? o Let l = -2/821 - 1620/9031. Let v = -0.41 - -0.01. Let j be (-1 + -2)*(330/(-108) - -3). What is the biggest value in v, j, l? j Let l = 0.11 - -0.69. Let y = 0.8 - l. What is the second smallest value in -2/7, -0.2, y? -0.2 Let o = -0.19 - 3.11. Let q = -38 - -35. Let u = o - q. Which is the biggest value? (a) 1 (b) u (c) -2/9 a Let z = 1.81 + -1.8. Which is the smallest value? (a) -2 (b) -0.3 (c) z a Let r be 20/6 + (-4)/12. Suppose 0*i + 2*i - r*j + 6 = 0, 2 = -2*i + j. Suppose 2*s = 1 - 9. What is the second smallest value in i, s, -0.5? -0.5 Let r = -388 - -397.16. Let x = 0.16 - r. Which is the second smallest value? (a) 0.4 (b) -2/9 (c) x b Let k = -1 + 1.1. Let y = -0.3 + k. Suppose -5*x - 2*j = 6 - 1, -5*j = 0. Which is the biggest value? (a) x (b) y (c) -3/5 b Let k = -1 - -2. What is the third biggest value in 1/4, k, -2? -2 Let z = -0.1 + 0.4. Let d = -0.1 + z. Let y = -0.416 - -0.016. Which is the smallest value? (a) 0.1 (b) d (c) y c Let p be (2/5)/(88/(-40)) + 0. Let u = 3.93 + 0.07. Which is the third biggest value? (a) p (b) 2 (c) u a Let k(o) = -o**2 + 8*o - 3. Let l be k(7). Let s = 1 + l. Let f = 0.4 + -0.9. Which is the biggest value? (a) f (b) s (c) -0.3 b Suppose 0 = -3*y + 6*y. Let f(j) = -3*j**3 + j**2 - 1. Let g be f(-1). Let p = -2 + g. Which is the biggest value? (a) -4 (b) y (c) p c Let n = -31 + 27. Which is the smallest value? (a) n (b) 5 (c) 3 a Let f = 0.3 - 0.8. Let g be (0 - 0) + (1 - -4). What is the smallest value in 0, f, g? f Let t be (-2)/9 + 58/18. Suppose -2*h = h - 3. Let w be 60/42 - (h + 0). Which is the third smallest value? (a) w (b) t (c) 1 b Let h = -4 - -3. Let i = 33.3 + -32. Let t = i + h. What is the smallest value in -0.2, -2/9, t? -2/9 Let t = 242.5 - 242. Let p be ((-2)/10)/((-1)/(-2)). Which is the second biggest value? (a) p (b) -3/7 (c) t a Let w be ((-6)/76)/(33/44). Let s = -0.6 + 0.2. Which is the third biggest value? (a) s (b) w (c) -0.1 a Let y = -4 + 7. Let q = -0.465 - -5.465. Which is the biggest value? (a) y (b) -3 (c) q c Let n = 26.8 - 27. What is the biggest value in -2/7, 0.3, n? 0.3 Let q = -4.14 + 0.14. Let r = 0.08 + -0.38. Which is the third smallest value? (a) 0.1 (b) r (c) q a Let c = -72.91 - -74. Let p = c + -0.09. What is the third smallest value in p, -3, 1/5? p Let h be (1901/(-18))/((-2)/4). Let t be (-2)/11 + 2323/11. Let n = t - h. Which is the biggest value? (a) 4 (b) -0.2 (c) n a Let k = -135 + 40. Let i = -91.1 - k. Let l = -4 + i. Which is the third smallest value? (a) -2 (b) 2 (c) l b Let s = 2 - 2.2. Let q = -0.15 - s. Let l = 1.95 + q. Which is the second biggest value? (a) -0.4 (b) -6/11 (c) l a Suppose -3 + 13 = 5*n. Which is the second smallest value? (a) -0.3 (b) -2 (c) n (d) 1/4 a Let t = -8/17 - -38/153. What is the second biggest value in t, 1/4, -2? t Let o = 100 + -111.1. Let p = o - -11. What is the biggest value in p, 0, -4? 0 Let i = -79 + 473/6. Let w = -0.07 + 0.07. Let r = 0.2 + w. Which is the second biggest value? (a) -4 (b) i (c) r b Let h = 0.02 + -0.09. Let r = 2.07 + h. Let s be 0 - ((-57)/21 + 3). Which is the biggest value? (a) 0.3 (b) r (c) s b Let h = -0.1 - -0.6. Let d = 104 - 109. What is the smallest value in d, h, -6? -6 Suppose -g - 6*g + 2*g = 0. What is the smallest value in g, -1/3, 4/7, 2? -1/3 Let k = -7 + 3. Which is the third biggest value? (a) -3 (b) k (c) 4 b Let d be (-6)/(-84)*-4*1. Let u(v) = 8*v. Let g be u(-1).
{ "pile_set_name": "DM Mathematics" }
emainder when 876 is divided by 369. 138 What is the remainder when 93704 is divided by 18728? 64 What is the remainder when 19584 is divided by 7? 5 What is the remainder when 12359 is divided by 1756? 67 Calculate the remainder when 4413 is divided by 127. 95 What is the remainder when 962 is divided by 172? 102 Calculate the remainder when 820 is divided by 182. 92 What is the remainder when 316917 is divided by 24? 21 Calculate the remainder when 51199 is divided by 104. 31 What is the remainder when 21411 is divided by 433? 194 What is the remainder when 4114 is divided by 1959? 196 Calculate the remainder when 288636 is divided by 79. 49 What is the remainder when 3901 is divided by 3852? 49 Calculate the remainder when 10825 is divided by 60. 25 What is the remainder when 13614 is divided by 768? 558 Calculate the remainder when 9785 is divided by 7. 6 What is the remainder when 376476 is divided by 416? 412 What is the remainder when 177 is divided by 137? 40 What is the remainder when 653994 is divided by 29? 15 What is the remainder when 1472326 is divided by 33? 31 Calculate the remainder when 44776 is divided by 14925. 1 Calculate the remainder when 400135 is divided by 1235. 1230 What is the remainder when 5609 is divided by 106? 97 Calculate the remainder when 17438 is divided by 482. 86 Calculate the remainder when 7185 is divided by 1139. 351 What is the remainder when 3530 is divided by 3518? 12 Calculate the remainder when 39770 is divided by 620. 90 What is the remainder when 15467 is divided by 294? 179 What is the remainder when 75497 is divided by 921? 896 What is the remainder when 454842 is divided by 14672? 10 Calculate the remainder when 319 is divided by 41. 32 What is the remainder when 14343 is divided by 573? 18 Calculate the remainder when 19811 is divided by 56. 43 What is the remainder when 742648 is divided by 6? 4 What is the remainder when 7226613 is divided by 853? 850 Calculate the remainder when 63734 is divided by 837. 122 Calculate the remainder when 810436 is divided by 6. 4 What is the remainder when 15298 is divided by 51? 49 What is the remainder when 301394 is divided by 2216? 18 Calculate the remainder when 25875 is divided by 63. 45 What is the remainder when 211408 is divided by 810? 808 Calculate the remainder when 51989 is divided by 684. 5 Calculate the remainder when 9815 is divided by 2447. 27 Calculate the remainder when 23581 is divided by 482. 445 What is the remainder when 7698 is divided by 51? 48 Calculate the remainder when 61235 is divided by 2783. 9 Calculate the remainder when 577 is divided by 139. 21 Calculate the remainder when 148408 is divided by 7810. 18 What is the remainder when 111932 is divided by 305? 302 Calculate the remainder when 6325 is divided by 577. 555 Calculate the remainder when 25626 is divided by 15. 6 Calculate the remainder when 23712 is divided by 13. 0 What is the remainder when 109201 is divided by 94? 67 Calculate the remainder when 4239 is divided by 659. 285 What is the remainder when 6467 is divided by 587? 10 What is the remainder when 59264 is divided by 439? 438 What is the remainder when 46214 is divided by 67? 51 What is the remainder when 14453 is divided by 466? 7 Calculate the remainder when 1726845 is divided by 48. 45 Calculate the remainder when 4188 is divided by 76. 8 Calculate the remainder when 1895633 is divided by 40. 33 Calculate the remainder when 809 is divided by 76. 49 Calculate the remainder when 174744 is divided by 174701. 43 Calculate the remainder when 6954 is divided by 3470. 14 What is the remainder when 31244 is divided by 428? 0 Calculate the remainder when 120998 is divided by 968. 966 What is the remainder when 29024 is divided by 2073? 2 What is the remainder when 264186 is divided by 444? 6 What is the remainder when 188202 is divided by 67? 66 What is the remainder when 307826 is divided by 17? 7 What is the remainder when 65671 is divided by 2447? 2049 Calculate the remainder when 6412 is divided by 916. 0 What is the remainder when 172568 is divided by 172556? 12 What is the remainder when 1393 is divided by 450? 43 What is the remainder when 1192 is divided by 1172? 20 Calculate the remainder when 7767 is divided by 38. 15 What is the remainder when 114162 is divided by 387? 384 What is the remainder when 17235 is divided by 97? 66 What is the remainder when 1024 is divided by 413? 198 What is the remainder when 327567 is divided by 27295? 27 Calculate the remainder when 94 is divided by 16. 14 Calculate the remainder when 41010 is divided by 9. 6 Calculate the remainder when 10489 is divided by 21. 10 What is the remainder when 1155438 is divided by 3? 0 What is the remainder when 390861 is divided by 68? 65 What is the remainder when 8410 is divided by 108? 94 What is the remainder when 9152 is divided by 2288? 0 Calculate the remainder when 1247596 is divided by 14. 0 Calculate the remainder when 60674 is divided by 333. 68 What is the remainder when 102489 is divided by 10? 9 Calculate the remainder when 23708 is divided by 344. 316 Calculate the remainder when 14381 is divided by 153. 152 What is the remainder when 48311 is divided by 146? 131 What is the remainder when 18752 is divided by 161? 76 What is the remainder when 8549 is divided by 1420? 29 Calculate the remainder when 5161 is divided by 1668. 157 What is the remainder when 946 is divided by 244? 214 What is the remainder when 57017 is divided by 1896? 137 What is the remainder when 11834 is divided by 11824? 10 Calculate the remainder when 3583 is divided by 302. 261 Calculate the remainder when 7785 is divided by 184. 57 What is the remainder when 8193 is divided by 149? 147 What is the remainder when 1600063 is divided by 45? 43 What is the remainder when 6580 is divided by 1497? 592 Calculate the remainder when 384250 is divided by 64. 58 What is the remainder when 526197 is divided by 2318? 11 What is the remainder when 125501 is divided by 106? 103 Calculate the remainder when 59538 is divided by 817. 714 What is the remainder when 654 is divided by 175? 129 Calculate the remainder when 199 is divided by 189. 10 What is the remainder when 13329 is divided by 2168? 321 What is the remainder when 1128 is divided by 283? 279 Calculate the remainder when 8503 is divided by 2815. 58 Calculate the remainder when 1821 is divided by 87. 81 What is the remainder when 38001 is divided by 799? 448 What is the remainder when 1899686 is divided by 8? 6 Calculate the remainder when 1244584 is divided by 409. 406 Calculate the remainder when 136210 is divided by 451. 8 Calculate the remainder when 3219 is divided by 610. 169 Calculate the remainder when 11807 is divided by 36. 35 What is the remainder when 31099 is divided by 798? 775 What is the remainder when 5105 is divided by 255? 5 What is the remainder when 1767 is divided by 123? 45 What is the remainder when 21093 is divided by 21? 9 What is the remainder when 1103241 is divided by 178? 175 Calculate the remainder when 38023 is divided by 71. 38 Calculate the remainder when 4246 is divided by 73. 12 What is the remainder when 17081 is divided by 164? 25 What is the remainder when 2461827 is divided by 14? 11 What is the remainder when 5534372 is divided by 20? 12 What is the remainder when 51725 is divided by 6? 5 Calculate the remainder when 23679 is divided by 11823. 33 Calculate the remainder when 17197 is divided by 7. 5 Calculate the remainder when 125572 is divided by 63. 13 Calculate the remainder when 14020 is divided by 271. 199 Calculate the remainder when 817737 is divided by 420. 417 What is the remainder when 17219 is divided by 5660? 239 What is the remainder when 49701 is divided by 2661? 1803 What is the remainder when 7252 is divided by 142? 10 Calculate the remainder when 36861 is divided by 38. 1 Calculate the remainder when 247783 is divided by 6353. 16 What is the remainder when 8750 is divided by 1749? 5 Calculate the remainder when 455397 is divided by 200. 197 What is the remainder when 193661 is divided by 477? 476 What is the remainder when 886 is divided by 271? 73 Calculate the remainder when 99485 is divided by 33158. 11 Calculate the remainder when 24366 is div
{ "pile_set_name": "DM Mathematics" }
6*k - 72360. 4*(k - 603)*(k - 10)*(7*k - 3) Find s, given that -s**4/3 - 19*s**3/3 + 20*s**2/3 = 0. -20, 0, 1 Suppose -5*n**2 + 128100*n + 384345 = 0. What is n? -3, 25623 Solve 512*d**3 - 10244*d**2 + 51280*d - 400 = 0. 1/128, 10 Factor z**2/3 - 2768*z/3 - 5548. (z - 2774)*(z + 6)/3 Factor x**4 + 83*x**3 - 90*x**2 - 504*x. x*(x - 3)*(x + 2)*(x + 84) Factor 3*g**2/4 - 27363*g + 109449/4. 3*(g - 36483)*(g - 1)/4 Find f such that -3*f**2 + 3738*f + 11241 = 0. -3, 1249 Let -27*d**5/4 - 12315*d**4/2 - 54639*d**3/4 - 8874*d**2 - 1365*d = 0. Calculate d. -910, -1, -2/9, 0 Suppose -v**5/3 - 54*v**4 - 3043*v**3/3 - 3862*v**2 - 3256*v/3 + 6016 = 0. Calculate v. -141, -16, -4, -2, 1 Let -2*u**2/11 + 20*u/11 - 18/11 = 0. What is u? 1, 9 Factor -b**4 - 205*b**3 - 8112*b**2 - 90432*b. -b*(b + 24)**2*(b + 157) What is a in 3*a**5/7 - 19119*a**4/7 + 30566229*a**3/7 - 333919113*a**2/7 = 0? 0, 11, 3181 Find o, given that -2*o**5/9 - 62*o**4/9 - 686*o**3/9 - 3490*o**2/9 - 8200*o/9 - 7000/9 = 0. -14, -5, -2 Factor k**3/3 + 14218*k**2/3 - 14221*k. k*(k - 3)*(k + 14221)/3 Suppose -15*a**5/4 + 355*a**4/2 - 375*a**3/4 - 6180*a**2 - 4025*a = 0. What is a? -5, -2/3, 0, 7, 46 Factor -f**3/4 + 3048*f**2 - 9356997*f + 405828236. -(f - 6074)**2*(f - 44)/4 Factor -t**3/4 - 2475*t**2/2 - 49425*t/4 - 30875. -(t + 5)**2*(t + 4940)/4 Factor -3*t**2/7 - 87429*t/7 - 1136070/7. -3*(t + 13)*(t + 29130)/7 Factor -5*o**2 - 67410*o - 471625. -5*(o + 7)*(o + 13475) Suppose -2*v**3/11 - 34*v**2/11 + 992*v/11 + 1024/11 = 0. Calculate v. -32, -1, 16 Factor -5*g**2 - 187730*g - 1762127645. -5*(g + 18773)**2 Determine o so that -o**2 - 146569*o + 439716 = 0. -146572, 3 Factor 5*w**3 + 27450*w**2 + 37399125*w - 759002500. 5*(w - 20)*(w + 2755)**2 Determine q so that -5*q**5 - 315*q**4 - 3775*q**3 + 58575*q**2 + 566280*q - 2874960 = 0. -33, -12, 4, 11 Factor 2*t**3/7 - 38*t**2 + 3568*t/7 - 472. 2*(t - 118)*(t - 14)*(t - 1)/7 Find l such that l**3/2 - 338*l**2 + 6649*l/2 + 3663 = 0. -1, 11, 666 What is h in -2*h**2/7 + 165708*h - 24026748606 = 0? 289989 Let -615*s**2 + 2461*s/2 - 1 = 0. Calculate s. 1/1230, 2 Solve 3*l**4 - 4254*l**3 - 9*l**2 + 12768*l - 8508 = 0 for l. -2, 1, 1418 Determine y, given that 3*y**4 + 4263*y**3 + 4260*y**2 = 0. -1420, -1, 0 Factor -3*g**3/4 - 69*g**2 - 6393*g/4 - 1530. -3*(g + 1)*(g + 40)*(g + 51)/4 Find r such that -3*r**4/8 + 39*r**3/8 + 1791*r**2/8 - 3687*r/8 + 465/2 = 0. -20, 1, 31 Suppose 5*t**2 - 2687380*t + 361100563220 = 0. Calculate t. 268738 Factor 2*i**2/11 + 4608*i/11 + 9208/11. 2*(i + 2)*(i + 2302)/11 Solve 3*g**3/4 - 1857*g**2/4 + 63069*g/4 - 61215/4 = 0 for g. 1, 35, 583 Factor -3*q**3 + 512652*q**2 - 21901518735*q + 43800986886. -3*(q - 85441)**2*(q - 2) Factor 5*h**3 - 926015*h**2 + 42871947775*h + 300149010875. 5*(h - 92605)**2*(h + 7) Factor 85805*q**3/2 + 2830255*q**2 - 86450*q + 660. 5*(q + 66)*(131*q - 2)**2/2 Suppose -h**3/5 + 2761*h**2/5 - 1887707*h/5 - 25008997/5 = 0. What is h? -13, 1387 Suppose -2*j**3 - 210700*j**2 - 5549521944*j - 11098201104 = 0. Calculate j. -52674, -2 Solve 2*b**4 - 2102*b**3 - 2104*b**2 = 0 for b. -1, 0, 1052 Suppose -2*n**5/21 - 530*n**4/21 - 1750*n**3/3 - 60430*n**2/21 - 34476*n/7 - 18240/7 = 0. Calculate n. -240, -19, -3, -2, -1 Factor -3*g**2/5 - 975*g - 29142/5. -3*(g + 6)*(g + 1619)/5 Suppose 2*g**5 - 1016*g**4 + 10032*g**3 - 35964*g**2 + 53838*g - 26892 = 0. Calculate g. 1, 3, 498 Let -i**3/3 - 1534*i**2/3 + i/3 + 1534/3 = 0. Calculate i. -1534, -1, 1 Factor j**2/10 - 3127*j/5 + 6252/5. (j - 6252)*(j - 2)/10 Solve -v**2 - 5475*v + 5476 = 0. -5476, 1 Find q such that q**2/7 + 1035*q/7 + 72000/7 = 0. -960, -75 Determine z so that -10*z**3/9 + 369399*z**2 + 2992138*z/9 + 73880 = 0. -1/2, -2/5, 332460 Factor 3*b**2 + 3581196*b + 1068747065868. 3*(b + 596866)**2 Solve -2*h**3/7 + 114*h**2/7 - 306*h + 1890 = 0. 15, 21 Let -4*r**4 - 60*r**3 + 252*r**2 + 2140*r + 2856 = 0. Calculate r. -17, -3, -2, 7 What is m in -2*m**3/7 + 884*m**2/7 + 5358*m/7 + 1152 = 0? -3, 448 Factor -2*g**4/7 + 9132*g**3/7 + 82296*g**2/7 + 246996*g/7 + 247050/7. -2*(g - 4575)*(g + 3)**3/7 Suppose 117*k**2 - 10698*k + 4641 = 0. Calculate k. 17/39, 91 Solve -18*o**2/7 - 485204*o/7 + 107824/7 = 0 for o. -26956, 2/9 Solve 5*p**3/3 - 5725*p**2/3 - 1910*p = 0. -1, 0, 1146 Suppose -2*x**2 - 213492*x - 5697354258 = 0. What is x? -53373 Find h such that -2*h**3/11 + 152046*h**2/11 + 304098*h/11 + 152050/11 = 0. -1, 76025 Factor -2*d**2/7 + 65620*d/7 - 538248050/7. -2*(d - 16405)**2/7 Suppose 7*c**4 + 264*c**3 + 1233*c**2 - 6884*c + 1860 = 0. Calculate c. -31, -10, 2/7, 3 Factor 5*q**3 + 15330*q**2 + 30645*q + 15320. 5*(q + 1)**2*(q + 3064) Factor -l**2 + 111556*l - 3111185284. -(l - 55778)**2 Determine v so that -2*v**3 - 16106*v**2 - 32417350*v + 32433458 = 0. -4027, 1 Solve 5*b**5 - 140*b**4 - 2145*b**3 = 0 for b. -11, 0, 39 What is t in 3*t**5/4 - 118*t**4 + 7181*t**3/4 + 3483*t**2 - 2501*t - 2660 = 0? -2, -2/3, 1, 19, 140 Let 2*h**4/9 - 490*h**3/9 - 1508*h**2/3 - 12160*h/9 - 8128/9 = 0. Calculate h. -4, -1, 254 Factor 2*g**4 - 3402*g**3 + 788964*g**2 - 65306680*g + 1835657616. 2*(g - 1443)*(g - 86)**3 Suppose -3*a**3 + 6345*a**2 + 115131*a + 108783 = 0. What is a? -17, -1, 2133 Suppose 2*t**2/7 + 10028*t/7 - 17232 = 0. Calculate t. -5026, 12 Factor -5*u**3 - 68790*u**2 - 236946780*u - 2362593800. -5*(u + 10)*(u + 6874)**2 Let -a**4 - 1380*a**3 - 10981*a**2 - 6810*a + 68600 = 0. What is a? -1372, -5, 2 Solve -t**4/2 - 21*t**3 - 341*t**2/2 - 336*t = 0. -32, -7, -3, 0 Let 3*u**3/2 - 16722*u**2 - 167283*u/2 - 66918 = 0. Calculate u. -4, -1, 11153 Find p, given that -p**2/7 - 2756*p/7 = 0. -2756, 0 Factor 2*a**2 + 64982*a - 64984. 2*(a - 1)*(a + 32492) Solve 5*k**5 - 135255*k**4 + 913951270*k**3 + 10073220670*k**2 - 22887754155*k + 11900717465 = 0 for k. -13, 1, 13531 Determine u so that 3*u**4/5 + 13446*u**3/5 - 202221*u**2/5 + 129552*u + 863424/5 = 0. -4497, -1, 8 Solve w**4/6 - 118*w**3/3 + 1619*w**2/6 - 1838*w/3 + 458 = 0 for w. 2, 3, 229 Suppose z**4/12 + 499*z**3/12 + 7499*z**2/4 + 21005*z/12 - 22001/6 = 0. What is z? -449, -49, -2, 1 Find n such that -n**3/5 - 651747*n**2/5 - 106193212128*n/5 + 106193863876/5 = 0. -325874, 1 Solve -2*v**4/3 - 88*v**3/3 + 2486*v**2/3 - 4700*v/3 + 768 = 0. -64, 1, 18 Determine s, given that 3789*s**4 + 3801*s**3 + 12*s**2 = 0. -1, -4/1263, 0 Determine x so that 4*x**5 - 96*x**4 - 1204*x**3 + 17360*x**2 + 230400*x + 640000 = 0. -8, -5, 20, 25 Suppose g**4/3 + 104*g**3 + 2449*g**2/3 + 1726*g + 3040/3 = 0. Calculate g. -304, -5, -2, -1 Factor 3*u**4 + 1251*u**3 - 6321*u**2 + 3825*u + 11394. 3*(u - 3)**2*(u + 1)*(u + 422) Factor -207647869235*l**4 + 179885535*l**3 - 51945*l**2 + 5*l. -5*l*(3463*l - 1)**3 Factor -15*l**3 - 13985*l**2 - 4650*l + 9320. -5*(l + 1)*(l + 932)*(3*l - 2) Factor -2*x**2/3 + 1086*x + 106304/3. -2*(x - 1661)*(x + 32)/3 Factor -w**2/4 + 91133*w/2 - 8305223689/4. -(w - 91133)**2/4 Factor -2*b**3 - 210*b**2 - 1206*b - 1782. -2*(b + 3)**2*(b + 99) Factor -4*f**2 - 3392*f - 412188. -4*(f + 147)*(f + 701) Factor -5*s**3 + 678455*s**2 - 23014720120*s - 23015398580. -5*(s - 67846)**2*(s + 1) Suppose -g**2/4 + 141459*g/4 + 35365 = 0. What is g? -1, 141460 Find b such that b**3/6 - 155*b**2/6 - 334*b/3 + 848 = 0. -8, 4, 159 Let -c**4/7 - 550*c**3/7 - 5544*c**2 - 754650*c/7 - 716391/7 = 0. What is c? -471, -39, -1 Factor 2*z**5 + 840*z**4 + 80154*z**3 - 1726596*z**2. 2*z**2*(z - 18)*(z + 219)**2 Factor 5*w**2 - 1188000*w + 1187995. 5*(w - 237599)*(w - 1) Factor -p**2/9 - 40973*p/3 + 245842/9. -(p - 2)*(p + 122921)/9 Factor 4*r**2 + 17932*r - 360240. 4*(r - 20)*(r + 4503) Let l**4 - 54*l**3/5 - 81*l**2/5 + 106*l/5 + 24/5 = 0. Calculate l. -2, -1/5, 1, 12 Determine j so that 64*j**4/3 + 9173*j**3 - 28142*j**2/3 - 18245*j + 862/3 = 0. -431, -1, 1/64, 2 Suppose 3451273*d**5 + 32409513*d**4 + 65326206*d**3 - 2511970*d**2 + 31929*d - 135 = 0. What is d? -45/7, -3, 1/79 Factor w**2/4 - 265*w/4 - 6273/2. (w - 306)*(w + 41)/4 Factor -r**2 - 11549*r + 11550. -(r - 1)*(r + 11550) Let 3*p**4/8 - 51*p**3/8 + 81*p**2/4 + 27*p = 0. Calculate p. -1, 0, 6, 12 Solve -q**5 + 2731*q**4 - 38110*q**3 + 195786*q**2 - 440289*q + 366795 = 0. 3, 5, 2717 Find s such that 3*s**5/2 - 1155*s**4/2 + 33597*s**3 + 4243779*s**2 + 156
{ "pile_set_name": "DM Mathematics" }
u. What is o rounded to two dps? 0.01 Let u(t) = -t**3 + 7*t**2 - 5*t. Let b be u(6). Suppose -w + b*w = -315. What is w rounded to the nearest ten? -60 Let p = 4 - 5. Let q be p/(-1 - (-6)/9). Suppose -2*j + n + 1360010 = q*n, -5*j - n + 3400005 = 0. Round j to the nearest one hundred thousand. 700000 Let q = -6.639999651 + 6.64. What is q rounded to 7 decimal places? 0.0000003 Let p be ((-84)/(-35))/(2/5). Suppose 6*k = 3*k + 148500. Let y be ((-3200)/p)/(3/k). Round y to the nearest one million. -9000000 Let g = 10.05 + -1.95. What is g rounded to zero dps? 8 Let r = -1.1 + 1.6. Let l = -0.424 + r. What is l rounded to 2 decimal places? 0.08 Let p(i) = -85*i**3 + 17*i**2 - 2*i - 2. Let g be p(-7). Round g to the nearest one million. 0 Let x = -85.9 - -82. What is x rounded to the nearest integer? -4 Let r = 0.07 - 0.07. Let u = 0.00044 - r. Round u to four decimal places. 0.0004 Suppose 743 + 7 = -2*a. Let b be a/(((-21)/(-216))/(-7)). What is b rounded to the nearest 10000? 30000 Let s = -169 + 178.1. Round s to the nearest 10. 10 Let u = -2 - -7. Let c = -4.7 + u. Let z = c + -5.1. What is z rounded to zero dps? -5 Let m = 42.14 + -5.04. Round m to the nearest ten. 40 Let k = 2444591233 - 2444591192.99999916. Let y = k - 40. Round y to 7 decimal places. 0.0000008 Let w(n) = -1827272*n + 8. Let a = 13 - 24. Let m be w(a). What is m rounded to the nearest 1000000? 20000000 Let o = -12 - -15.5. Let d = o + -0.5. Let x = -3.24 + d. Round x to 1 dp. -0.2 Let o(p) = -70*p**3 + 3*p**2 + 3*p + 1. Let g be o(-2). Suppose 3*n = -g - 1623. What is n rounded to the nearest 100? -700 Let c = -5140 - -10615. Let f = 29871 + -16396. Let y = c - f. What is y rounded to the nearest 1000? -8000 Let u = -77.5974 + -10.4536. Let f = 88 + u. Let g = f - -0.0509954. What is g rounded to 6 decimal places? -0.000005 Let z(d) = -9 - 1 - 6*d**2 - d**3 - 7*d - 2*d**2. Let x be z(-7). Round x to the nearest one hundred. 0 Let x = 3898056 + -3898024.999896. Let i = -31 + x. What is i rounded to five dps? 0.0001 Let j = -61 - -61.174. Round j to two decimal places. 0.17 Let v = 1854.1999458 + -1872.19995. Let b = 17.83 - -0.17. Let n = v + b. Round n to 6 decimal places. -0.000004 Let k(c) = 8*c**2 - 20*c - 3. Let z be k(14). Let f = -545 + z. What is f rounded to the nearest one hundred? 700 Let j(a) = a**3 - 4*a**2 - 3*a - 7. Let w be j(5). Let m(v) = 218*v**3 + 3*v**2 - 3*v - 4. Let x be m(w). What is x rounded to the nearest one thousand? 6000 Let n = 0 - 0.04. Let z = -6.972 - -7. Let q = n + z. What is q rounded to two decimal places? -0.01 Let f = -0.087 + 0.1112. Round f to 3 dps. 0.024 Let f = -49 + 49.92. Let z = 1.5 - f. Round z to one decimal place. 0.6 Let l(q) = q**2 - 8*q + 7. Let i be l(5). Let u be 909998/(-7) + i/28. What is u rounded to the nearest ten thousand? -130000 Let p = -334 - -332.63. Let y = 13.77 + p. What is y rounded to the nearest integer? 12 Let w(k) = k**2 + 5*k. Let c be w(-6). Let f(y) = -y. Let b be f(c). Let p be 42599991/b + 6/(-4). Round p to the nearest one million. -7000000 Let a = -0.18 - -0.05. Let g = 1949824 - 1949824.1300091. Let n = g - a. Round n to 6 decimal places. -0.000009 Suppose 4*x + 5*y + 4712 = 3*y, 5*y - 20 = 0. Round x to the nearest 1000. -1000 Let v = 8160254 + -8160260.0000021. Let d = -4 + 10. Let w = d + v. What is w rounded to 6 decimal places? -0.000002 Let f = 3.0344 + -15.4274. Let s = f + -0.007. What is s rounded to the nearest integer? -12 Let k = -1.72 - -8.68. Let c = k - 7. Let i = c - -0.040011. What is i rounded to six decimal places? 0.000011 Let f = 1599 - 939. What is f rounded to the nearest one hundred? 700 Let s = 5 - 4.75. Let k = s - 0.224. What is k rounded to two dps? 0.03 Let y = -743 - -742.4046. Let f = 0.59 + y. Round f to three decimal places. -0.005 Let o = -0.33 - 2.27. Let h = 1.77475 - -0.825312. Let t = h + o. What is t rounded to 5 dps? 0.00006 Suppose -n + 4 + 2 = 0. Suppose 0 = 3*m + n - 21. Round m to the nearest 10. 10 Let v = 4422 - 4422.8659. Let j = 0.86 + v. Round j to 3 decimal places. -0.006 Let p(c) be the first derivative of 2521309*c**3/3 + c**2 + 2*c + 1. Let l be p(-3). Let z = 8891777 - l. What is z rounded to the nearest one million? -14000000 Let a = -0.17 + 0.17039. What is a rounded to four dps? 0.0004 Let t = -35.046 + 35. Let j = 6 + -6.05. Let z = j - t. What is z rounded to two decimal places? 0 Let c = -5.9 + 5.90000024. Round c to 6 dps. 0 Suppose 5*m + 0*j = -5*j - 575, 3*m + 343 = -4*j. What is m rounded to the nearest 10? -120 Let o be (1/(-2))/((-2)/24). Let w be 25/(-10)*(-8)/10. Let k be (-3362)/o - w/(-6). What is k rounded to the nearest 100? -600 Let x = 3 + -3.04. Let j = x + 0.53. Let b = j + -0.4900029. What is b rounded to six dps? -0.000003 Let g = 119.00231 - 119. Round g to 3 decimal places. 0.002 Let n = -34320 + 34320.53977. Let r = n + -0.54. Round r to 4 decimal places. -0.0002 Let z = -3 + 4. Let t = -2283 + 2282.000014. Let m = t + z. Round m to five decimal places. 0.00001 Let o = -19694980655.1999991 - -19694966308. Let a = o - -14346.6. Let u = a - -0.6. What is u rounded to seven dps? 0.0000009 Let n = 2768007 + -1604705. Suppose 0 = 4*q + 5*z + 2439985, 3*z + 56689 = -2*q - n. Round q to the nearest one hundred thousand. -600000 Let f = -0.24 + 1.34. Let c = -144 + 145.03. Let q = c - f. Round q to one decimal place. -0.1 Suppose 0 = 3*c + 3. Let o be 89 - (-2 + c + 4). Let i be (o - 2)/(3/(-150)). What is i rounded to the nearest one thousand? -4000 Let m = -7 + 32. Let x = m - 30.8. Round x to the nearest integer. -6 Let b = -464.999999707 - -465. Round b to 7 dps. 0.0000003 Let p = -4069 - -2527. Let o = -2202 - p. What is o rounded to the nearest one hundred? -700 Let y = -5 - -5.00000315. What is y rounded to seven dps? 0.0000032 Let n = 15 - 11. Let p = n - 4.0000008. What is p rounded to 6 dps? -0.000001 Let q(r) = -r**2 - 24*r + 10. Let y be q(-23). What is y rounded to the nearest ten? 30 Let q(w) = w**3 - 3*w**2 - 7*w + 6. Let f be q(4). Let i = f + 10. Suppose 170 + 670 = -i*b. Round b to the nearest one hundred. -200 Let a be 1047/(2 + 3/(-3)). Suppose -125 = z + a. Let n = -592 - z. What is n rounded to the nearest one hundred? 600 Let m = -25.15 + 25. What is m rounded to 1 decimal place? -0.2 Let d(u) = -40*u**2 + 10*u - 17. Let w be d(3). Round w to the nearest 10. -350 Let v = -5.9 + -30.1. Let j = -36.0124 - v. What is j rounded to three decimal places? -0.012 Let k = 2 - 2.4. Let g = k - -0.35. Let p = -0.0499868 - g. What is p rounded to 6 decimal places? 0.000013 Let v(l) = 4218*l**2 - 7*l - 8. Let k be v(-8). What is k rounded to the nearest 100000? 300000 Let x(b) be the first derivative of 5*b**3/3 - 3*b**2/2 - 10*b - 6. Let g be x(-10). Round g to the nearest 100. 500 Let u = -17 + 12. Let z = u - -5.3. Let n = -0.2999989 + z. Round n to six dps. 0.000001 Let b = -959.52587746 - 147.33411824. Let t = b + 1108.16. Let w = t + -1.3. What is w rounded to six decimal places? 0.000004 Let s = -5 - -10. Let t be s + -4 + -1*2. Let d be 0 + t - (-3 - -9700002). Round d to the nearest one million. -10000000 Suppose 0*q + 5*q + r = -23, 0 = -4*q - 2*r - 16. Let y(g) = -800*g - 2 + 2. Let d be y(q). Round d to the nearest ten thousand. 0 Let u(b) = 151*b. Let t be u(1). Let r = -86 + t. Round r to the nearest ten. 70 Let v = -0.5 - -1.5. Let f = v - 3. Let k = f - -1.999984. Round k to five dps. -0.00002 Let i = -0.295 - -0.2817. Round i to three decimal places. -0.013 Let i = -0.6 - -15.6. Let c = i - 14.9947. Round c to 3 decimal places. 0.005 Let b = -6 - -5.905. Let v = b - -0.0949959. What is v rounded to 6 decimal places? -0.000004 Let v = 0.5 - 0.27. Let d = v - 0.229998. What is d rounded to 6 decimal places? 0.000002 Let s(z) = -320*z. Suppose -3*k + 10 = -5. Suppose k*y + 8 = -2. Let c be s(y). What is c rounded to the nearest one hundred? 600 Let k be ((-1)/2*-4)/(-2). Let g be (-2 - (-1)/k)*-67. Let h be (-1)/((-3)/g*-1). Round h to the nearest ten. -70 Let m be (-24)/(-8) - (1202 + 1). What is m rounded to the nearest one hundred? -1200 Let o = 53473 - 53473.95379. Let x = -0.04931 + o. Let h = x + 1. Round h to three decimal places. -0.003 Let o = -5.31 + 5.2473. Let u = o - -0.06. Rou
{ "pile_set_name": "DM Mathematics" }
5*q - 4*m = 110 + 63, 4*q - 3*m - 138 = 0. Suppose q - 1 = y. Suppose -24 - y = -7*g. What is the highest common divisor of g and 24? 8 Suppose -z + 2*d - 1990 = 4*z, 2*d = -5*z - 2010. Let k be z/30*-3*2. Let x = -962 - -978. Calculate the greatest common divisor of x and k. 16 Let t(u) = -u + 37. Let v be t(6). Let k(r) = -2*r - 6. Let b be k(-3). Suppose b = j - 6*j + 465. Calculate the highest common divisor of v and j. 31 Suppose -102 = -0*b - 3*b. Let r = -132 - -136. Let a be 170 + -1 - r*(-6)/24. Calculate the greatest common divisor of b and a. 34 Let m(v) = -2*v - 2. Let s be m(-11). Let u be (24/10)/((-3)/(-190)). Suppose 3*x + g = 148, -g + u = 3*x - 2*g. What is the greatest common factor of s and x? 10 Let q(i) = i**3 - i**2 - 4*i. Let l be q(3). Suppose l*d = 4*d - 38. Let r = d - -39. Calculate the greatest common factor of 30 and r. 10 Let a(h) = 5*h**2 + 5*h. Suppose -2*n + 16 = b - 4*b, 5*b - 5 = -3*n. Let m be a(b). Calculate the highest common divisor of 290 and m. 10 Let a(l) = 6*l**3 - 435*l**2 + 82*l - 133. Let m be a(73). What is the greatest common factor of 70 and m? 70 Suppose -4*r - 2*h + 6*h = -96, 2*r - 83 = -5*h. Let g = 40 - r. Suppose 0 = -g*y + 34 + 21. What is the greatest common factor of y and 5? 5 Let h = 68 + -12. Suppose 8*y = h - 16. Suppose -i = 2*l - 0 - y, -3*l - 2*i + 9 = 0. Calculate the highest common divisor of l and 2. 1 Let d = 113 - 116. Let s be (4/d + 4)*33. Calculate the highest common factor of 8 and s. 8 Let a(p) = -p**2 + 23*p - 78. Let q be a(18). Let n be ((-10)/q)/(-5) + (-10894)/(-156). What is the greatest common divisor of n and 20? 10 Suppose -f + 6*r = -57, -f + 0*r + r = -37. What is the highest common factor of f and 1595? 11 Let r be (0 + 4)/((-8)/20). Let m be ((-10)/r)/((-2)/(-40)). Suppose 3*u - 51 = -3*i, 3 = -3*u + 3*i + 24. What is the highest common factor of m and u? 4 Let v = 7 + -17. Let b be (v/(-20))/((-1)/4). Let l be 8/(4/b) - -20. What is the highest common divisor of 2 and l? 2 Let h = 7852 - 7797. What is the highest common factor of h and 2464? 11 Suppose -34*a + i + 5624 = -29*a, -4*a + 4*i = -4512. Calculate the highest common factor of 8 and a. 4 Let y be (-221)/17*(3 - 2)*1. Let z(x) = x**3 + 14*x**2 + 5*x + 2. Let r be z(y). Let j = r - 97. Calculate the highest common divisor of j and 144. 9 Suppose -26 = -3*g + 10. Let w be (-17 - -16) + -1 + 3. Let i be (0 - w) + (0 - -52)/4. What is the highest common factor of i and g? 12 Let r(y) be the second derivative of y**5/20 + 13*y**4/12 - y**3 - 30*y**2 - 2*y + 6. Let f be r(-13). What is the highest common factor of 96 and f? 6 Let a be 72*9/(108/16). Let x = 56 - a. Let g = -26 - x. What is the highest common factor of g and 21? 7 Let v(c) = 2*c**2 - 3*c + 4. Let i be v(5). Let u be 333 - 3*-5*(-60)/(-50). What is the highest common factor of i and u? 39 Let o = -63 - -88. Let i be (200/150)/((-4)/(-3)). Calculate the highest common divisor of i and o. 1 Let v(o) = 3*o - 7*o + 14 - 8*o + 31 - 4*o. Let z be v(0). What is the highest common divisor of z and 18? 9 Suppose -5*y - 1625 = -28*y - 153. Calculate the highest common divisor of 218 and y. 2 Let g be (281880/(-9135))/((-5)/(-7) - 1). What is the highest common divisor of 76 and g? 4 Let r be ((-15)/(-12))/(-5*12/(-11520)). Calculate the highest common factor of r and 5360. 80 Suppose -7*j + 10*j - 8773 = -2*a, 0 = j + 5*a - 2946. What is the highest common divisor of 46 and j? 23 Suppose -x + 40 + 1 = -2*y, -3*x - 4*y + 153 = 0. Suppose x*r = 50*r - 231. What is the highest common factor of 22 and r? 11 Suppose 0 = 9*v - 46 - 8. Suppose -886 = v*d + 1544. Let a be 1 - 0 - d/(8 + -5). What is the highest common factor of 17 and a? 17 Let f(r) = 30*r + 195. Let j be f(6). Calculate the greatest common factor of 3 and j. 3 Let h be 70*(-132)/(-77)*5. What is the highest common factor of 132 and h? 12 Suppose 72*o + 43*o = 2017435 - 89230. Calculate the highest common factor of 69 and o. 69 Let l(p) = -p**3 - 2*p**2 + 7*p. Let h be l(-5). Let q(k) = 18*k**2 + 100*k - 2. Let v be q(-7). What is the greatest common divisor of v and h? 20 Suppose 72 = 6*a - 9*a. Let y be (a/14)/(-3) + 960/84. Suppose 0*i = 3*i - y. What is the highest common divisor of 20 and i? 4 Suppose -264*l + 150*l + 164*l - 7200 = 0. What is the highest common divisor of l and 18432? 144 Let j = -19 + 23. Suppose -j*u + 66 - 22 = -2*d, -3*d - 36 = -3*u. Let c = 53 - 48. Calculate the greatest common divisor of u and c. 5 Suppose 3*u - 2313 = -2289. Calculate the greatest common divisor of 1208 and u. 8 Let g(c) = -c**3 + 4*c**2 + c + 4. Let a be g(4). Suppose -4 = a*l - 9*l. Suppose -o = -64 + l. Calculate the highest common divisor of o and 12. 12 Let k(l) = 43*l + 2. Let g be k(5). Let r(x) = 9*x**3 - 200*x**2 + 200*x - 2. Let f be r(1). What is the greatest common divisor of f and g? 7 Suppose -2*l + 4*a = 34, 0 = l + 3*a + 13 - 11. Let n be 11/(1210/20) - 328/l. Suppose -2*r = r - 270. What is the greatest common factor of r and n? 30 Suppose 2717 = -62*s + 8917. What is the greatest common factor of s and 2340? 20 Let l = -127 + 137. Suppose l*j = -j + 231. Calculate the greatest common divisor of 42 and j. 21 Suppose -68*w = -69*w - 3*b + 2182, 2*b = -3*w + 6511. Calculate the greatest common factor of w and 44. 11 Let l be (9 + 4)/((-7 - -4)/(-21)). Let k be ((-10)/6)/((-7)/273). What is the greatest common factor of l and k? 13 Let b = 16917 + -16875. Suppose 0*q = -4*q - 36. Let r = 30 + q. What is the greatest common factor of r and b? 21 Let g(a) = 12*a - 35. Let f be g(3). Let m be 1 - -155 - (f - (-5)/(-5)). Calculate the highest common factor of 24 and m. 12 Suppose 1720 - 392 = 83*j. Suppose -736 = -2*b - 4*f, -2*f = -4*b + 6*b - 736. What is the greatest common divisor of b and j? 16 Suppose 5*t = -s + 2043, -6*t = -5*s - 11*t + 10235. Calculate the greatest common divisor of s and 96. 32 Let s be (636/(-16))/(-1 + (-10)/(-16)). What is the greatest common factor of 74 and s? 2 Let d = 2545 - 2537. Let h = -7 + -5. Let n = -11 - h. Calculate the highest common divisor of d and n. 1 Let l = -18422 + 18427. Let z = -79 + 204. Calculate the highest common divisor of l and z. 5 Let w be 10 - 0 - (-2 + 1). Suppose 33 = -5*o + 43. Let m be 216 - -5 - 6 - 12/o. What is the highest common factor of w and m? 11 Let n(y) = y**2 + 14*y + 22. Let i be n(-12). Let p = 245 + i. Calculate the greatest common factor of 9 and p. 9 Let n = -949 - -1617. Suppose 142 = 9*x - n. Let c = x + -38. What is the highest common divisor of c and 13? 13 Suppose -3*x - 3 = -3*b + 27, -17 = -2*b + 5*x. Suppose -10*k + b*k = 96. Calculate the highest common factor of k and 144. 48 Suppose 2*b - 2 = 3*t, -5*t - 19 = 1. Let n be 2*b/2 + 44. What is the highest common divisor of n and 13? 13 Let p = -24332 - -24652. Suppose 2*k + 20 = 3*k. What is the highest common divisor of k and p? 20 Suppose -5*x = o - 6*x - 6, -14 = -3*o - x. Suppose -2*l + 13*l - 715 = 0. What is the highest common divisor of l and o? 5 Let m be (834/10 + 4/(-2))/((-5)/(-25)). Calculate the highest common divisor of 55 and m. 11 Let r = 129 + -127. Suppose 0 = -2*w + 2*u - 62 + 220, r*u - 2 = 0. Calculate the greatest common divisor of w and 180. 20 Let a = -93 - -129. Suppose o - 2*l - a = 0, -2*l + 5 = -3*l. Let d be -2 + 914/o + (-10)/65. What is the highest common divisor of 3 and d? 3 Let d(c) = 19*c + 60. Let u be d(-4). Let y(k) = -k**2 - 27*k - 162. Let g be y(u). What is the greatest common factor of 154 and g? 14 Let m(o) = -2 + o**2 + 6*o**2 + 23*o - 8*o**2 - 8. Let k be m(10). What is the greatest common divisor of k and 60? 60 Suppose -239*l - 4*x = -243*l + 3924, 0 = -5*l + 4*x + 4910. Calculate the highest common divisor of 232 and l. 58 Suppose -1797 = 39*u - 9051. What is the greatest common factor of u and 248? 62 Suppose -a - i + 6 = 0, 7*i - 2*i - 26 = -3*a. Suppose 0 = -a*f - 5*o + 509, -2*f + 5*o = 6*o - 489. Calculate the highest common factor of f and 22. 22 Suppose 3*j - 692 = b, j - 187 = 4*b + 29. What is the highest common divisor of j and 493? 29 Let q = -32 - -61. Suppose -5*a - 27 = -8*a + 3*x, -2*a - 10 = 5*x. Suppose -a*z = -w + q - 2, 2*w = 2*z + 38. What is the highest common factor of w
{ "pile_set_name": "DM Mathematics" }
1125 What is the product of -61 and -5.5978? 341.4658 5 times -9679469 -48397345 Work out 1.9619503 * 21. 41.2009563 Multiply -3.111 and -1324. 4118.964 Multiply -0.232 and -7869.74. 1825.77968 What is -52.731 times 0.04825? -2.54427075 212256*-206.7 -43873315.2 Multiply 2 and 8.655801. 17.311602 Multiply 5 and 0.141146995. 0.705734975 Work out -7.787278 * -5. 38.93639 708 * 14754.4 10446115.2 Work out -25 * -106939. 2673475 Work out 1431 * -12654. -18107874 2024281 * -66 -133602546 Multiply -0.02469 and -10613. 262.03497 What is the product of 24.15 and -1086? -26226.9 What is the product of -253171790 and -0.2? 50634358 -0.5 times -543397 271698.5 -19.7 times 340.35 -6704.895 Multiply -14.48 and 0.019955. -0.2889484 Product of -9749593 and 90. -877463370 -0.62 times -523283 324435.46 -0.335792 times 645 -216.58584 What is 5851573 times 3? 17554719 What is 16.1302 times -48? -774.2496 Multiply -3.66809 and 1.4. -5.135326 Work out -9669652 * 8. -77357216 What is the product of 6463 and -31953? -206512239 Calculate -0.04*-61182097. 2447283.88 Calculate -19811153*-4. 79244612 What is 1462328 times -3? -4386984 53203.24 * -1.5 -79804.86 173 * 26510.3 4586281.9 Calculate -21*-103309. 2169489 Multiply -58456 and 1.969. -115099.864 Work out 0.0722095 * -28. -2.021866 Work out -35007193 * -0.12. 4200863.16 -23 times -25421531 584695213 -883084 * -16 14129344 -195.8 times -0.3017 59.07286 0.9 * -50553 -45497.7 26*3269107 84996782 What is the product of -0.0620354 and -3? 0.1861062 Multiply -5 and 11.189462. -55.94731 What is the product of -176 and -942.36? 165855.36 45612665 * -0.2 -9122533 -6 times 23761.5578 -142569.3468 What is the product of 2935.9 and 38757? 113786676.3 -221.119 times 135 -29851.065 What is -0.004052277 times -4? 0.016209108 What is -45.335 times -191? 8658.985 Calculate 4254*-331.92. -1411987.68 15081 times 6.04 91089.24 Product of -23114 and -67.08. 1550487.12 -1140*-0.0448 51.072 What is -1929185 times -0.04? 77167.4 Product of 85161849 and -1. -85161849 What is the product of 2447 and -5.257? -12863.879 47 * 2512903 118106441 -0.3 * 31456833 -9437049.9 Work out 5264083 * 4. 21056332 What is 831390 times 1? 831390 Work out 18147070 * 5. 90735350 -0.5349 times -74613 39910.4937 Calculate -6673*884. -5898932 What is -36981.5 times 32.7? -1209295.05 -442928128*-0.4 177171251.2 Calculate -0.0577516*0.18. -0.010395288 -7533.6843 * 0.4 -3013.47372 Product of -76.27 and 2355. -179615.85 170791.4 times 5 853957 Work out 4 * 4458140. 17832560 Multiply 51 and -39282.87. -2003426.37 What is -4 times -18236384? 72945536 8846559*4 35386236 Product of -2.33 and 3.488. -8.12704 Multiply 0.5 and 6531895. 3265947.5 What is -380.49 times 12810? -4874076.9 What is -0.07 times 5323.054? -372.61378 6844.5*12 82134 7851558*2 15703116 14 times 1135211 15892954 Product of 60109 and 3.534. 212425.206 Product of -0.2 and -7780768. 1556153.6 What is the product of 1 and 15413337? 15413337 What is 4.18251 times 0.7? 2.927757 Multiply 4.394767 and 0.6. 2.6368602 What is -1 times 3492792? -3492792 What is 0.4 times -0.014584358? -0.0058337432 What is the product of 12.154697 and -0.5? -6.0773485 0.2 * -334.4864 -66.89728 Product of -0.62 and 0.302. -0.18724 -8220975 * 1.1 -9043072.5 44667.206*-0.5 -22333.603 Product of -0.79 and -0.0728575. 0.057557425 Work out -186392 * -21. 3914232 What is the product of 9 and -2661850? -23956650 What is the product of 6 and 183465.74? 1100794.44 Work out -0.05373 * 2.58. -0.1386234 -2106.87*-0.01831 38.5767897 Calculate -173625*0.0667. -11580.7875 -31374714 times 5 -156873570 Multiply -0.2361 and 7770. -1834.497 -3328 times 0.018528 -61.661184 3490 times -3910 -13645900 -4 * -188754.55 755018.2 -15414*-10115 155912610 -21099 * -20714 437044686 Product of -0.5 and -1708.8845. 854.44225 Work out 16425703 * -2. -32851406 What is the product of -2.099 and 13539? -28418.361 -155644 times 0.0199 -3097.3156 -5865684*-32 187701888 0.06191 times -43972 -2722.30652 Work out 56 * 1228779. 68811624 What is the product of 1019043 and -4? -4076172 -10.5*-318863 3348061.5 What is 0.2869927 times 0.1? 0.02869927 Multiply 90.1794 and 0.04. 3.607176 0.5*176104 88052 Work out -81418.2 * -0.16. 13026.912 -10536 * -340.7 3589615.2 What is 0 times 21229.3413? 0 Calculate 0.1973*-843. -166.3239 Calculate 95024572*0.5. 47512286 What is 0.276 times 987? 272.412 61164153 * 0.4 24465661.2 Work out 0.044108784 * -0.13. -0.00573414192 Calculate -1919*33318. -63937242 Multiply -11239 and 2021. -22714019 Calculate -43964.126*-1. 43964.126 Calculate 4.4*-0.61847. -2.721268 Calculate -256092440*0. 0 Product of 23 and 7.48. 172.04 14 * 4139.8 57957.2 What is the product of -2 and -6159924? 12319848 8137 times 52793 429576641 Work out -0.3 * 68260007. -20478002.1 Calculate 0.93*-11450. -10648.5 -408.6 * -6014 2457320.4 Calculate 460524*-12. -5526288 0.0451 * -769 -34.6819 Calculate -39*4980. -194220 4.37*-7001 -30594.37 What is the product of 3 and 1775067? 5325201 Calculate 462*230376.7. 106434035.4 -0.89 times -19591 17435.99 Work out 168 * -99673. -16745064 Calculate -288621.3*-0.1. 28862.13 8742.27 * 4.6 40214.442 Product of 89 and 34756. 3093284 Calculate -20*0.068057. -1.36114 Product of -5979 and -2826. 16896654 Product of 56860 and -8737. -496785820 Product of 0 and -15359569. 0 Multiply 156 and -292704. -45661824 Product of 3 and -0.01916898. -0.05750694 What is 36 times -1194.3083? -42995.0988 Work out -1279053 * 116. -148370148 What is 35042.529 times 0.4? 14017.0116 Calculate 0.2*-89679782. -17935956.4 -1080.8*-24662 26654689.6 What is 14168660 times -9? -127517940 What is the product of -1.7033 and 11.4? -19.41762 Product of -810383 and -8. 6483064 0.0082381 times -0.162 -0.0013345722 What is the product of 19220 and -4978? -95677160 -14.864732*0.5 -7.432366 0.0468*0.635518 0.0297422424 Multiply 7028 and 6115. 42976220 Product of 0.1 and 89413.45. 8941.345 What is 0.0653847 times -0.02? -0.001307694 -6511710 times 0.5 -3255855 Product of 181 and -4443. -804183 What is the product of -85171400 and -3? 255514200 Work out -144 * -20373.9. 2933841.6 Calculate 23007*-2.6. -59818.2 0.3839 * 17065 6551.2535 57.812 * -484 -27981.008 0.2 times -2267040 -453408 -1.20376*2491 -2998.56616 Work out -15.470263 * 3. -46.410789 Multiply -308 and 14544.32. -4479650.56 What is the product of -1758066 and 2? -3516132 What is the product of 14901 and -0.629? -9372.729 -27.09 times 9869 -267351.21 Calculate 518803*0.1. 51880.3 108851*0.02095 2280.42845 Work out -0.4 * 18404662. -7361864.8 0.2281 * 1.445 0.3296045 What is the product of 221 and 62040? 13710840 -5846 times -1613 9429598 Product of 32.5 and 6403.3. 208107.25 -5130274*-3 15390822 What is 6 times 265.48439? 1592.90634 Calculate 51.5*-10544. -543016 Work out 0.07222237 * -4. -0.28888948 What is the product of 291.8 and -84383? -24622959.4 Calculate -0.04866*1402. -68.22132 Multiply -0.070287 and -19.4. 1.3635678 Product of 3.2 and -0.1338811. -0.42841952 3.8107 * -83 -316.2881 Work out -32 * -180.8147. 5786.0704 Multiply 3693.1 and -0.38. -1403.378 What is the product of -74 and -7.1924? 532.2376 What is the product of 0.4 and -0.2295684? -0.09182736 Product of 1121308 and 0.03. 33639.24 Product of -35496013 and -0.7. 24847209.1 What is the product of 812.682546 and -5? -4063.41273 Product of 23279 and 3221. 74981659 Calculate -7823.6*13. -101706.8 14 * 187.9059 2630.6826 Multiply 158586 and 1. 158586 417810*-161 -67267410 0.9*61.8926 55.70334 What is the product of -0.0073 and -141632? 1033.9136 Calculate -3.3*-1097470. 3621651 Work out -569364 * 73. -41563572 7455232 * -4 -29820928 Product of -0.000323166 and 0.1. -0.0000323166 What is the product of 0.13433 and -0.0017? -0.000228361 Calculate 552359*-946. -522531614 What is the product of -123.0822 and -25.9? 3187.82898 Work out 15224 * 12899. 196374376 Calculate 40*-6039007. -241560280 Work out 0.500937 * 32.7. 16.3806399 39519868 * -0.4 -15807947.2 Multiply -0.034 and -0.0235969. 0.0008022946 Product of 3485157 and 27. 94099239 What is the product of 0.1 and 0.1305976? 0.01305976 74*-19547852 -1446541048 Multiply -0.2 and 31646.8544. -6329.37088 -90.29*-440 39727.6 Work out -1.5 * 1314524. -1971786 Product of 307884.408 and -0.1. -30788.440
{ "pile_set_name": "DM Mathematics" }
n one quarter of a second? 250 Convert 737.8833 millennia to months. 8854599.6 How many microseconds are there in 0.9286227 days? 80233001280 What is 16.8276 centimeters in kilometers? 0.000168276 What is 372125.8km in nanometers? 372125800000000000 How many seconds are there in 3/40 of a day? 6480 How many grams are there in 92.9407t? 92940700 How many decades are there in 54/5 of a millennium? 1080 Convert 12070.05ng to kilograms. 0.00000001207005 What is 0.2504008g in nanograms? 250400800 What is 1341.048 years in centuries? 13.41048 How many litres are there in 72.86647 millilitres? 0.07286647 What is 833.24 litres in millilitres? 833240 What is 68692.89 kilograms in micrograms? 68692890000000 How many days are there in 2559660.3 minutes? 1777.541875 What is 31/2 of a litre in millilitres? 15500 What is fourty-one halves of a decade in years? 205 What is 18/5 of a micrometer in nanometers? 3600 Convert 40.15087 weeks to seconds. 24283246.176 What is 15/4 of a century in years? 375 What is 2868.252 hours in nanoseconds? 10325707200000000 How many micrometers are there in eleven halves of a centimeter? 55000 How many months are there in fourty-one halves of a decade? 2460 What is one twentieth of a millennium in years? 50 Convert 9.290614ng to milligrams. 0.000009290614 How many millimeters are there in 6/5 of a centimeter? 12 How many grams are there in five eighths of a kilogram? 625 What is 169.84689 months in millennia? 0.0141539075 How many milliseconds are there in 3/50 of a minute? 3600 How many millilitres are there in 3/50 of a litre? 60 What is 18/5 of a kilogram in grams? 3600 How many centuries are there in seventy-nine halves of a millennium? 395 How many micrometers are there in 1/5 of a millimeter? 200 What is 264.3438 meters in centimeters? 26434.38 What is 0.3321047 micrometers in nanometers? 332.1047 How many kilograms are there in one tenth of a tonne? 100 How many kilograms are there in 72009.94t? 72009940 What is 37.35078 micrometers in centimeters? 0.003735078 How many kilograms are there in 777015.6 micrograms? 0.0007770156 How many centimeters are there in eleven halves of a meter? 550 Convert 474.7786 millennia to centuries. 4747.786 How many micrograms are there in one quarter of a milligram? 250 How many microseconds are there in 62.9827 seconds? 62982700 What is 25/4 of a hour in seconds? 22500 What is seven halves of a milligram in micrograms? 3500 What is 3/10 of a tonne in kilograms? 300 How many nanoseconds are there in 5218.093 seconds? 5218093000000 What is 31666.41 grams in nanograms? 31666410000000 What is 416558.43 minutes in days? 289.2766875 Convert 590150.4l to millilitres. 590150400 What is nine tenths of a litre in millilitres? 900 How many nanograms are there in sixty-one quarters of a microgram? 15250 How many meters are there in 9/10 of a kilometer? 900 Convert 68.77923 milligrams to nanograms. 68779230 How many kilometers are there in 926.2286 millimeters? 0.0009262286 How many micrograms are there in 5/4 of a milligram? 1250 Convert 0.2660335 years to centuries. 0.002660335 What is one fifth of a meter in millimeters? 200 Convert 284.1727 millennia to decades. 28417.27 How many seconds are there in twenty-eight thirds of a hour? 33600 How many litres are there in 0.3789322ml? 0.0003789322 What is 5015.817 millilitres in litres? 5.015817 Convert 7439.18ms to microseconds. 7439180 How many millimeters are there in 43293.76 meters? 43293760 What is 796.6871 millilitres in litres? 0.7966871 What is twenty-one fifths of a kilometer in meters? 4200 What is 7/2 of a century in decades? 35 What is 889.912m in centimeters? 88991.2 Convert 3967.95 kilometers to micrometers. 3967950000000 Convert 1757.16 decades to years. 17571.6 How many kilograms are there in 1/5 of a tonne? 200 What is 3.51987 decades in years? 35.1987 What is thirteen fifths of a meter in millimeters? 2600 How many grams are there in 6/25 of a kilogram? 240 What is 706.425 litres in millilitres? 706425 Convert 93.17414 millennia to months. 1118089.68 What is 7/2 of a milligram in micrograms? 3500 How many kilograms are there in 3.157955ng? 0.000000000003157955 How many milligrams are there in eighty-seven fifths of a gram? 17400 How many grams are there in fifty-seven fifths of a kilogram? 11400 What is 6.053047 tonnes in milligrams? 6053047000 What is 10.9979 micrograms in grams? 0.0000109979 Convert 12.88133 kilograms to milligrams. 12881330 Convert 1.96618mg to grams. 0.00196618 What is 4/3 of a hour in minutes? 80 What is 1617.96 grams in kilograms? 1.61796 What is one fifth of a hour in minutes? 12 How many years are there in 81/4 of a century? 2025 How many years are there in 25/2 of a decade? 125 What is 5260.66km in micrometers? 5260660000000 What is seven quarters of a hour in seconds? 6300 Convert 841.0156 years to months. 10092.1872 How many months are there in fifty-one halves of a decade? 3060 What is 4.885699 micrometers in nanometers? 4885.699 How many years are there in one tenth of a millennium? 100 How many years are there in eleven halves of a decade? 55 What is 13.655904 months in millennia? 0.001137992 How many litres are there in 359191.8ml? 359.1918 Convert 4.393343 millilitres to litres. 0.004393343 Convert 86013.48 litres to millilitres. 86013480 What is 21/5 of a meter in millimeters? 4200 What is 11/8 of a litre in millilitres? 1375 Convert 68.0811 litres to millilitres. 68081.1 What is 1/4 of a litre in millilitres? 250 What is seventeen quarters of a litre in millilitres? 4250 What is 678033.9l in millilitres? 678033900 How many microseconds are there in 55.0039ms? 55003.9 Convert 0.6384415ng to micrograms. 0.0006384415 How many millimeters are there in fifty-five halves of a meter? 27500 How many months are there in 2026.164 millennia? 24313968 Convert 944.0287 micrometers to kilometers. 0.0000009440287 Convert 7785.927 days to minutes. 11211734.88 What is thirteen quarters of a hour in seconds? 11700 How many meters are there in one fifth of a kilometer? 200 What is three eighths of a milligram in micrograms? 375 What is 1/10 of a kilometer in centimeters? 10000 How many litres are there in 0.1620147ml? 0.0001620147 How many seconds are there in 29/3 of a hour? 34800 How many meters are there in 186.922nm? 0.000000186922 What is one twentieth of a litre in millilitres? 50 How many nanometers are there in 3/10 of a micrometer? 300 What is one sixteenth of a day in minutes? 90 How many kilometers are there in 17.50217nm? 0.00000000001750217 How many microseconds are there in 3/40 of a second? 75000 How many hours are there in 8/21 of a week? 64 What is 71.41997 millilitres in litres? 0.07141997 How many milliseconds are there in 93.23097 hours? 335631492 How many millilitres are there in 15/4 of a litre? 3750 What is 5453.824g in kilograms? 5.453824 What is 81510.33 years in centuries? 815.1033 How many months are there in 7/8 of a century? 1050 What is 0.7301666g in tonnes? 0.0000007301666 What is 66.52118 nanometers in meters? 0.00000006652118 How many months are there in 27/4 of a century? 8100 How many seconds are there in 3/5 of a minute? 36 How many meters are there in 7545.573 centimeters? 75.45573 Convert 25.131897 minutes to weeks. 0.00249324375 Convert 29.961885 minutes to hours. 0.49936475 How many kilograms are there in 23/8 of a tonne? 2875 How many millimeters are there in 44/5 of a centimeter? 88 What is 488.0219 seconds in milliseconds? 488021.9 What is 632.8312 decades in months? 75939.744 How many kilograms are there in 11/10 of a tonne? 1100 What is 97.38202 grams in milligrams? 97382.02 What is 84.90063 years in months? 1018.80756 How many months are there in 7/6 of a year? 14 How many kilograms are there in 3/25 of a tonne? 120 How many hours are there in 7/6 of a day? 28 How many seconds are there in one twentieth of a day? 4320 What is 33/5 of a litre in millilitres? 6600 How many milliseconds are there in 5/4 of a minute? 75000 What is 9/10 of a meter in millimeters? 900 Convert 15907997.7 nanoseconds to weeks. 0.00000002630290625 How many litres are there in 1058.684 millilitres? 1.058684 Convert 984.5171 seconds to milliseconds. 984517.1 What is 7/6 of a day in minutes? 1680 W
{ "pile_set_name": "DM Mathematics" }
+ 1 - 2*p**2 - 90*p**2 - 172*p**2 + 42*p**2. -223*p**2 + 2*p + 1 Expand (3*v**4 - 14*v**4 - 12*v**4)*(0 + 1 + 0). -23*v**4 Expand (5*o - 8*o + 4*o)*(41*o**2 - 28*o**2 - 29*o**2). -16*o**3 Expand -2 - o + 0 + 0 + (1 + 2 - 4)*(3*o - o - o)*(0 + 1 + 0). -2*o - 2 Expand (0*z + z + 1 + z)*(-4*z**4 + 3*z**4 - 4*z**4 + (-2*z**4 - 2*z**4 + 5*z**4)*(2 - 2 + 1) + 0*z**4 + 4*z**4 - z**4)*(-3 + 5 - 4). 4*z**5 + 2*z**4 Expand (24*z**2 - 13*z**2 + 31*z**2)*(2*z**3 - 3*z**3 + 3*z**3) + z**2 - z**2 - 4*z**5. 80*z**5 Expand (2 - 2*c**2 - 2)*(2 - 3 - 1) + (2 - 2 - 6*c)*(-c - 4*c + 3*c) + 10*c**2 - 7*c**2 + 10*c**2. 29*c**2 Expand -35 + 8*t**2 + 35 + (-1 - 1 - 2)*(0*t**2 + 0*t**2 + t**2). 4*t**2 Expand (-2*m - 2*m + 2*m)*(-35*m + 41*m + 28*m). -68*m**2 Expand (3 - 3 - 31)*(-2*n**4 - 3*n**4 + 3*n**4). 62*n**4 Expand (-2 - 3 - 1)*(4 - 1 - 4)*(-2 + 4 - 1)*(1 + 3 + 3)*(0*w + 6*w - 2*w). 168*w Expand (433*d**2 + 164*d**2 - 172*d**2)*(-2*d + 5*d - 2*d) + 3*d**3 - 2*d**3 + d**3 + (4*d - 5*d + 2*d)*(-2*d**2 + 3*d**2 - 3*d**2) + d**3 + d**3 - 4*d**3. 423*d**3 Expand (-804 + 36*p + 804)*(3 - 2*p - 3)*(-5*p + 2*p + 2*p). 72*p**3 Expand -6*r**2 + 9*r**2 + 6*r**2 + (2*r**2 - 2*r**2 + 2*r**2)*(1 + 1 - 3) - r**2 + 5*r**2 - 3*r**2 - 3*r**2 - 5*r**2 + 2*r**2. 2*r**2 Expand -7*t**5 + t**5 - 8*t**5 - 4*t**5 + 6*t**5 - 4*t**5 + (t**2 - t**2 - 2*t**4)*(0*t + 5*t - 4*t) + 4*t**5 - 2*t**5 + 0*t**5. -16*t**5 Expand 2*l + 2*l - 6*l + 38 - 38 + 3*l - 2*l + 0*l + 5*l + l - 3*l + 4*l + (0 + 2 + 0)*(-l + l + 2*l) - 2 + l + 2 + 3*l - 4*l + 4*l. 14*l Expand 71 - 71 + 8*r + (-2 + 3 - 5)*(0*r + 2*r - 3*r) + 2*r - 1 + 1. 14*r Expand (2*s + s**3 - 2*s)*(3 + 2 - 3) - 2 - s**3 + 2 + 2*s**3 - 251*s**3 + 16*s**3. -232*s**3 Expand (2*g**2 - g**2 + 4*g**2)*(-3*g + 3*g + g**2) + (-g + 0 + 0)*(0 + 0 - g**3) + 0*g**4 + 3*g**4 + 4*g**2 - 2*g**4 + 15*g**4 - 6*g**4 - 15*g**4. g**4 + 4*g**2 Expand 2*u - 6*u + 3*u + 2*u + 0*u + 0*u + (3*u + 2*u - 4*u)*(-5 + 2 + 2) + u + u - 4*u - 2 - 3*u + 2 - 9*u + 34*u + 10*u. 30*u Expand (11 + 15 - 3 + 6)*(-2*g + 3*g - 4*g). -87*g Expand (-6 + 3 + 1)*(-542678*u + 542133*u + 2 - 2). 1090*u Expand (-p**3 + 3*p - 3*p)*(-6 + 3 + 5)*(15*p + 9*p - 11*p - 3*p - 2*p + 3*p + 3 - 3 - p + (0 - 1 + 3)*(2*p + 3 - 3) + p + 3*p - 3*p + 4*p - 7*p - p). -22*p**4 Expand -10*l**3 - 16*l**3 + 16*l**3 + (-l**2 - 2*l + 2*l)*(-8*l + 3*l + 3*l) - 2*l + 3*l**3 + 2*l - l**2 - 2*l**3 + l**2. -7*l**3 Expand 2*x - 2*x + 3*x + (11 + 3*x - 11)*(-30 - 16 + 8). -111*x Expand (1 - 6 - 26)*(g + 0*g + 0*g). -31*g Expand -1578824 + 1578824 + 47*s**2 + (s - 2 + 2)*(3*s - 2*s + s). 49*s**2 Expand -2*r - 2*r + 5*r + 4*r - r - 4*r + (-1 - 1 + 3)*(6*r - 2*r - 2*r) + 0*r - 3*r + 2*r + 2*r + 4*r - 4*r + (37 + 6 - 1)*(1 - 1 - 2*r). -81*r Expand (6*d - 1 - 10 - 7*d + 5)*(-10*d + 2*d + 2*d). 6*d**2 + 36*d Expand (-2*j + 4*j + 0*j)*(8 - 8 + 29*j**3). 58*j**4 Expand (-k - k + k)*(10*k + 9*k - 7*k)*(k - 4*k + 0*k). 36*k**3 Expand (5778 - 5779 - 2*p**3 + 11*p**2 - 43*p**2)*(4 - 6 + 3). -2*p**3 - 32*p**2 - 1 Expand (d**3 + d**3 + 6*d**3)*(-48*d - 15 + 39 - 24). -384*d**4 Expand (3*u**3 - 2*u**3 + u**3)*(6 - 1 - 4) - u - u**3 + u + (-5*u + 5*u + 10*u**2)*(2*u - u + u) + u**3 - 4*u**3 + u**3. 19*u**3 Expand (17*c - c - 4*c)*(-3*c - 1 + 1) + 17*c**2 + 9*c**2 + 6*c**2. -4*c**2 Expand (-3 + 1 + 0)*(-k**3 - k**3 + k**3) + 6*k**3 + 10*k - 10*k - 3 + 4*k**3 + 3 + (4 - 5 + 0)*(-3 + 3 - 2*k**3). 14*k**3 Expand -3 + 0*z**5 + z**5 + 2 + (-3*z**3 - z + z)*(2*z**2 + 0*z**2 - z**2) - 3*z**5 + 4*z**5 + 6*z**5. 5*z**5 - 1 Expand r**3 - r**3 - r**3 - 2*r**3 - 5*r**3 + 5*r**3 + (-4*r**3 - 8*r**3 - 3*r**3)*(2 - 4 + 4) - 4*r**3 + 7*r**2 - 7*r**2. -37*r**3 Expand (1072 + 3*z**2 - 1072)*(22*z + 3*z**2 - 22*z). 9*z**4 Expand (83*o - 83*o + 49*o**3)*(-2*o**2 - o**2 + o**2) - o**5 + 0*o + 0*o + (-o**4 + 0*o + 0*o)*(-1 + 1 + 2*o). -101*o**5 Expand (1 + 0 + 0)*(0*h + 0*h - h) - 7*h + 2*h + 3*h - 2*h + 2*h + h. -2*h Expand (11 - 9 + 11)*(5*a + 2*a - 5*a)*(1 - 1 + 1)*(-3*a + 10*a - 8*a). -26*a**2 Expand (2 - y - 2)*(-2 + 2 - y) + 0 - 2*y**2 + 0 + (4*y + 2*y - 5*y)*(0*y - 2*y + y) - 7*y**2 - 12*y**2 - y**2. -22*y**2 Expand 3*m**4 + 0*m**4 - 4*m**4 + (3 - 4 + 3)*(52*m**4 - 140*m**4 + 37*m**4). -103*m**4 Expand (3*k - k + k)*(44 + 4 - 22). 78*k Expand (9*g**2 - 4*g**2 + 247*g**3 - 4*g**2 + 4653*g**3)*(-2*g + g + 2*g). 4900*g**4 + g**3 Expand (s + 3*s - 2*s)*(s - s + 2*s**4) + 3*s**5 + 0*s**5 + 9*s**5 - 9*s**5 - 6*s**5 + 4*s**5. 5*s**5 Expand (-z - 70 + 70)*(0 + 1 + 0)*(-7 + 0 + 0). 7*z Expand (q**2 - 3*q**2 + 4*q**2)*(4 - 74*q - 117*q + 175*q) + (2*q + 0 + 0)*(0*q**2 + 0*q**2 + q**2). -30*q**3 + 8*q**2 Expand (-1 + 9 + 17 - 1 + 0 - 1 + (-2 - 3 + 4)*(-2 - 5 + 5) - 4 - 1 + 3)*(1 + 2 - 1 - 5*z). -115*z + 46 Expand (1 + 4 - 3)*(-2*b**3 + 2*b**2 - 7 + 23 - 14 + b). -4*b**3 + 4*b**2 + 2*b + 4 Expand (3*y**2 - 2*y**2 + y**2)*(2 + y**2 - 2) - 2*y**2 + 2*y**2 + y**4 + y**4 - y**2 + y**2 - 387*y**4 - 185*y**4 + 286*y**4 - 118*y**4. -400*y**4 Expand (1 + 3*i - 1)*(0*i + i + i)*(-10*i**2 + 16*i**2 + 13*i**2). 114*i**4 Expand (1 + 363*y - 336*y - 3)*(0*y - y + 3*y). 54*y**2 - 4*y Expand (-1 - 5*t**2 + 1 - 5 + 5 - 2*t**2 + (-2 + 0 + 0)*(4*t - 4*t + 2*t**2))*(1 - 1 - 3*t)*(2 + 3*t - 2). 99*t**4 Expand 28*c - 35 + 35 + (4 - 1 - 8)*(5*c - 3*c - c). 23*c Expand (2*m - m - 3*m)*(-4 + 2 + 0) + 0*m + 0*m + m + (-8 + 3 + 6)*(-31 + 31 + 28*m) + 0*m + 4*m - 5*m. 32*m Expand -22*k**5 - 20*k**5 + 39*k**5 + (4*k + 2*k**3 - 4*k)*(-2*k**2 + 0*k + 0*k) + k**5 - 2*k**5 - k**5 - k**4 + 0*k**5 + 2*k**5 - k**5. -8*k**5 - k**4 Expand (-5*k + 5*k + 4*k**2)*(2*k + 3*k - 4*k) + 32*k + k**3 + 8*k - 12*k. 5*k**3 + 28*k Expand (-4 + 0 + 2)*(-3 + 3 - 2)*(3 - 2*c - 3). -8*c Expand (-s**2 + 0*s**2 - 2*s**4 + 0*s**4)*(-3 + 1 + 0)*(3 + 6 + 0) + s**3 - s**3 + s**4 + (s**2 - 2*s**2 + 3*s**2)*(s**2 - 3*s + 3*s). 39*s**4 + 18*s**2 Expand (1 - 18 - 2)*(-2*u + 7*u - 3*u). -38*u Expand (12 - 12 + 10*z)*((1 - 2 + 4)*(-3*z + 0*z + 5*z) - 2*z + 3*z + z)*(0 + 0*z + z - 2). 80*z**3 - 160*z**2 Expand ((1 - 4 + 1)*(-2*j + 0*j + 0*j) + 16 + 18*j - 16)*(16*j**4 - 2*j**4 + 4*j**4). 396*j**5 Expand -j**2 + 0*j**2 + 7*j**2 + (2 + 2*j - 2)*(-7 + 7 - 2*j) + j**2 - j**2 + 2*j**2 + (2*j**2 - 3*j + 3*j)*(3 - 5 + 4). 8*j**2 Expand -1628*o + 1628*o + 2*o**4 + (-1 + 1 + 2)*(o**4 + 4*o**4 - 4*o**4). 4*o**4 Expand (0 - 6 + 5)*(5*j - 3*j + 2*j) - 12*j - 1 + 9*j + 3 - j + 3*j - j + (3*j - j + 0*j)*(1 - 2 + 3). -2*j + 2 Expand ((-3*s + 9*s + 3*s)*(2 + 1 - 5) + 1 - 4*s - 1)*(-2*s**2 + 4*s**2 - 3*s**2 + s). 22*s**3 - 22*s**2 Expand (x + 3*x - 2*x + (-2 + 3 - 3)*(4*x - 4*x - 3*x) - 2*x - 1 + 1 - 29 - x + 29)*(-2*x**2 + 5*x - 5*x). -10*x**3 Expand (-2 + 0 + 0)*(-5233 + 75*n + 5233) + (3 - 6 + 2)*(3*n - n + 0*n). -152*n Expand (73 - 46 + 127)*(0*u**2 + 0*u**2 + u**2). 154*u**2 Expand (6*d**2 - 2*d**2 - 2*d**2)*(26 - 3 + 13)*(6 - 4 - 5)*(-3*d + 2*d + 3*d)*(0*d**2 + 0*d**2 - 3*d**2). 1296*d**5 Expand -92*p + 87*p - 6 - 25 + (2 - 2 + 4)*(3*p + 0*p - p). 3*p - 31 Expand (11 - 16 - 34)*(2*i**3 + 3*i**3 - 3*i**3)*(-3*i**2 + 2*i**2 + 2*i**2). -78*i**5 Expand (-3*r + 5*r - 4*r)*(-3 + 3 - 2 + (5 - 3 - 4)*(4 - 5 + 3) + 0 - 5 + 0 + (2 - 1 + 1)*(-3 + 0 + 4)). 18*r Expand (-k**3 - k**3 + 4*k**3)*(2 - 2*k - 2*k + 5*k)*(-6*k + 6*k - 13*k). -26*k**5 - 52*k**4 Expand (4 - 4 - 4*l)*(-l**2 + 0*l**2 + 4*l**2) + (2*l - 2*l + l**2)*(-15*l - 16*l + 15*l). -28*l**3 Expand (11*m - 16 + 25 - 9)*(2 - 2 + 4*m**2). 44*m**3 Expand (2 - 2 - 2)*(3*d - 3*d - 2*d**4) + 4 - 4 - 2*d**4 + (4 + 2*d - 4)*(-16*d**3 - d**3 + 5*d**3 + (-5*d**2 + d**2 + 2*d**2)*(9*d - 5*d - 11*d)). 6*d**4 Expand (-6*a + 7*a + 11*a)*(-2*a + 28*a - a). 300*a**2 Expand (-16 + 2*o + o + 12)*(-4 - 8 + 1). -33*o + 44 Expand (0*i**5 - 2*i**5 - i**5)*(-1 - 4 + 4)*(43 - 32 - 89). -234*i**5 Expand (-3*t - 2*t + 3*t)*(-36 + 1 - 43)*(-9*t + 31*t - 10*t). 1872*t**2 Expand (-3 + 4 - 3)*(-2 + 1 - 1)*(-2 + 2 - 1)*((0 + 1 + 0)*(-4*z + 0*z + 6*z) + 4 + 2*z - 2 - 1). -16*z - 4 Expand (-4 - 1 + 4)*(-2*x**2 - 5*x**2 + 6*x**2) + 3*x**2 - 4*x**2 - x**2 + (0 + 2 - 4)*(-2*x**2 + 4*x**2 + 10*x**2). -25*x**2 Expand (1 - 1 + 3*r)*(2 - 3 + 3)*(-4*r - 8*r + 3*r)*(r**3 + 2*r**3 - r**3). -108*r**5 Expand (0*r**4 + 3*r**4 - r**4)*(0 + 35 + 61)*(0*r - 2*r + 5*r). 576*r**5 Expand -5*v**2 + 6*v**2 + 3*v**2 + (2 + 0 - 3)*(2*v**2
{ "pile_set_name": "DM Mathematics" }
? 57500 Find the common denominator of 79/225512 and -75/232. 6539848 Calculate the common denominator of 43/51230 and 3/20. 102460 Calculate the smallest common multiple of 96819 and 8. 774552 What is the least common multiple of 99 and 88956? 978516 What is the least common multiple of 744 and 52452? 104904 Calculate the least common multiple of 2996 and 210. 44940 Find the common denominator of 3/124606 and 81/14. 872242 Calculate the common denominator of -59/4 and 149/10818. 21636 What is the common denominator of -83/97490 and 93/280? 2729720 Calculate the common denominator of -51/62947 and -13/13252. 251788 What is the common denominator of 143/5670 and -29/405? 5670 What is the common denominator of 97/1088 and 131/133280? 266560 What is the smallest common multiple of 555 and 150? 5550 Calculate the common denominator of -121/21440 and 83/13400. 107200 Calculate the least common multiple of 17388 and 8694. 17388 What is the least common multiple of 704 and 58960? 235840 Calculate the smallest common multiple of 223014 and 53955. 3345210 Find the common denominator of 1/9042 and -3/179333. 1075998 What is the common denominator of -5/172656 and -71/24? 172656 Calculate the common denominator of -19/1398 and -71/57. 26562 What is the least common multiple of 990 and 3786? 624690 What is the common denominator of -83/4164 and 59/3? 4164 What is the least common multiple of 237094 and 12435? 3556410 Calculate the least common multiple of 5211 and 5211. 5211 Calculate the common denominator of 87/257240 and 53/160775. 1286200 Calculate the common denominator of -97/234 and 32/33. 2574 Calculate the common denominator of 85/1333654 and 31/7. 1333654 Find the common denominator of 91/30 and 37/113556. 567780 What is the lowest common multiple of 16365 and 11310? 12339210 Calculate the smallest common multiple of 50081 and 50081. 50081 Find the common denominator of 13/4 and -89/1692. 1692 Calculate the smallest common multiple of 39960 and 288045. 6913080 Calculate the least common multiple of 15260 and 340. 259420 Calculate the common denominator of 5/57834 and -23/441. 404838 Calculate the lowest common multiple of 26 and 169548. 2204124 What is the common denominator of 37/270261 and 59/63? 1891827 What is the common denominator of 41/1210 and 139/1084600? 11930600 Calculate the smallest common multiple of 1314 and 14796. 1080108 Calculate the smallest common multiple of 136 and 680. 680 Calculate the least common multiple of 486 and 4536. 13608 Find the common denominator of -103/7518 and -23/1969. 82698 What is the smallest common multiple of 33984 and 176? 373824 What is the smallest common multiple of 1290 and 2490? 107070 Calculate the least common multiple of 1250 and 6778. 4236250 Calculate the least common multiple of 42441 and 31725. 9549225 What is the lowest common multiple of 1215 and 360? 9720 Find the common denominator of -119/3474 and -53/618951. 3713706 What is the common denominator of 41/49128 and -75/356? 49128 Calculate the least common multiple of 30288 and 657. 6633072 What is the least common multiple of 104 and 10946? 43784 Find the common denominator of -41/6004 and -47/10. 30020 Calculate the smallest common multiple of 36 and 465762. 2794572 Find the common denominator of -49/48905 and 61/88029. 440145 Calculate the common denominator of 4/1327685 and -61/40540. 5310740 Calculate the common denominator of 74/5325 and -29/4. 21300 What is the lowest common multiple of 136612 and 10? 683060 Calculate the common denominator of -101/246 and 97/196226. 588678 Calculate the common denominator of 119/1500 and 187/390. 19500 What is the least common multiple of 48439 and 15599? 920341 Calculate the common denominator of -107/154 and -45/4298. 47278 Calculate the common denominator of -63/10 and 61/2260686. 11303430 What is the common denominator of 91/30 and -149/168096? 840480 What is the common denominator of 4/9629 and -1/22? 211838 What is the smallest common multiple of 1182 and 68950? 206850 Calculate the least common multiple of 2872 and 312. 112008 Calculate the smallest common multiple of 2604 and 21. 2604 Find the common denominator of -143/84 and -121/62394. 873516 Find the common denominator of 79/11560 and 7/680. 11560 Calculate the smallest common multiple of 12 and 918326. 5509956 Calculate the common denominator of -11/12 and -8/8313. 33252 Find the common denominator of -103/2256 and 31/29328. 29328 Calculate the least common multiple of 107 and 18939. 18939 Calculate the common denominator of -9/238304 and 52/245751. 7864032 Find the common denominator of 56/3915 and -149/3870. 336690 Calculate the lowest common multiple of 33220 and 11220. 1694220 What is the common denominator of 91/35304 and 71/35304? 35304 Calculate the common denominator of -101/12 and 39/10. 60 Calculate the least common multiple of 5296 and 2648. 5296 Find the common denominator of -92/15 and 14/8655. 8655 What is the lowest common multiple of 120380 and 16? 481520 Calculate the least common multiple of 10 and 169305. 338610 What is the smallest common multiple of 156784 and 2? 156784 Find the common denominator of 97/16244 and 22/3. 48732 Calculate the common denominator of 61/92346 and -101/6. 92346 Calculate the common denominator of -3/466385 and 22/259. 3264695 Find the common denominator of 49/180 and 43/1670. 30060 What is the least common multiple of 8 and 110880? 110880 What is the common denominator of -53/72 and -23/241572? 1449432 Calculate the common denominator of 19/15554 and -89/202202. 202202 Calculate the smallest common multiple of 153 and 1360. 12240 What is the common denominator of -53/703060 and 85/773366? 7733660 Calculate the smallest common multiple of 563788 and 7. 3946516 What is the lowest common multiple of 1226985 and 1717779? 8588895 What is the least common multiple of 20 and 346200? 346200 Calculate the smallest common multiple of 10472 and 40579. 324632 Find the common denominator of 71/594 and -41/77682. 699138 What is the common denominator of -41/4 and -103/7966? 15932 Find the common denominator of -83/1350 and 73/357750. 357750 What is the smallest common multiple of 246051 and 109356? 984204 Calculate the least common multiple of 41277 and 24. 330216 What is the smallest common multiple of 204904 and 80? 2049040 What is the smallest common multiple of 82 and 22986? 942426 What is the least common multiple of 10 and 102431? 1024310 Find the common denominator of 31/962962 and 159/260260. 9629620 Calculate the least common multiple of 98450 and 1790. 98450 Find the common denominator of 103/210 and -73/113175. 1584450 What is the smallest common multiple of 244350 and 162900? 488700 Find the common denominator of 63/20 and -109/5650. 11300 What is the least common multiple of 34730 and 55568? 277840 What is the common denominator of 151/6960 and -109/18270? 146160 Find the common denominator of -5/6 and -65/10914. 10914 Find the common denominator of -91/1598 and -129/340. 15980 Calculate the common denominator of 82/1995 and -59/1064. 15960 Calculate the common denominator of 64/97503 and -56/236793. 1657551 What is the least common multiple of 63 and 106401? 2234421 What is the lowest common multiple of 363 and 623436? 6857796 Calculate the least common multiple of 865 and 20760. 20760 Calculate the lowest common multiple of 172610 and 189871. 1898710 Find the common denominator of -17/2028 and -47/2756. 107484 Calculate the common denominator of 26/13041 and 53/77679. 1786617 What is the common denominator of -9/710 and -5/1278? 6390 Calculate the smallest common multiple of 5476 and 1924. 71188 Calculate the lowest common multiple of 77064 and 798. 539448 What is the lowest common multiple of 4884 and 528? 19536 Calculate the lowest common multiple of 19536 and 7844. 1035408 Find the common denominator of 29/14286 and 155/371436. 371436 What is the lowest common multiple of 7124 and 24934? 49868 Find the common denominator of 31/3519 and -8/1035. 17595 What is the common denominator of 57/6940 and 41/147822? 1478220 Find the common denominator of -20/263901 and 11/18. 1583406 What is the least common multiple of 20 and 1508180? 1508180 What is the least common multiple of 351 and
{ "pile_set_name": "DM Mathematics" }
s in 2*y - y + 3*y - 2*y. 2*y Collect the terms in -9 + 18 - 3 - 6 - u**2. -u**2 Collect the terms in i + 2*i + 3*i + 2*i - i. 7*i Collect the terms in 101*v + 104*v - 207*v. -2*v Collect the terms in 0*m**2 - 375*m**2 + 17*m**2. -358*m**2 Collect the terms in 5260*u**2 - 2634*u**2 - 2628*u**2. -2*u**2 Collect the terms in 19*l**3 - 29*l**3 + 5*l**3. -5*l**3 Collect the terms in 463740*o + 3*o**2 - 463740*o. 3*o**2 Collect the terms in -3*l**3 + 28456 - 28456. -3*l**3 Collect the terms in 17*y**2 - 4*y**2 - 10*y**2. 3*y**2 Collect the terms in a - 4*a - 4*a + 45*a**2. 45*a**2 - 7*a Collect the terms in 467*z + 209*z - 74*z. 602*z Collect the terms in 73*a + 75*a - 162*a. -14*a Collect the terms in 92*v**3 - 43*v**3 + v**3. 50*v**3 Collect the terms in -8 - 1 + 1 + 47*w**2 + 0. 47*w**2 - 8 Collect the terms in -36*j + 2*j - 3*j**2 + 4*j + 30*j. -3*j**2 Collect the terms in 38*d**3 + 18*d**3 - 78*d**3 + 20*d**3. -2*d**3 Collect the terms in 0*k + 242 - k - 120 - 122. -k Collect the terms in 7*p + 103 - 46 - 57. 7*p Collect the terms in 36*n**2 - 19*n**3 - 36*n**2. -19*n**3 Collect the terms in -14*f**3 + 28*f**3 - 18*f**3. -4*f**3 Collect the terms in z**2 - 10*z**2 - z**2. -10*z**2 Collect the terms in 172*s + 161*s + 165*s - 499*s. -s Collect the terms in 5 - 5 + 156*q. 156*q Collect the terms in 197*v + 53*v + 50*v - 67*v. 233*v Collect the terms in 3*m**2 + 0*m**2 - 15*m**2 - m**2. -13*m**2 Collect the terms in 30 - 30 - 3*z**3. -3*z**3 Collect the terms in 15*l**2 - 13*l**2 - 6*l**2. -4*l**2 Collect the terms in 187 - 187 + 18*t**3. 18*t**3 Collect the terms in 6*t**2 - 6*t**2 - 7*t**2 + 6*t**2. -t**2 Collect the terms in c - 5*c + 37*c + c. 34*c Collect the terms in 2*h**2 + 2*h**2 - 4*h**2 - 27*h**3. -27*h**3 Collect the terms in 7*u**2 - 16*u**2 - 14*u**2. -23*u**2 Collect the terms in -5 + 29*b**3 + 5. 29*b**3 Collect the terms in 5*v + 0*v - 8*v - 4*v. -7*v Collect the terms in 2 - 107*s**2 - 2 + 104*s**2. -3*s**2 Collect the terms in -2*q**2 + 41 - 12*q**2 - 41. -14*q**2 Collect the terms in -j**2 + 13 - 4*j**2 + 6*j**2 - 2*j**2. -j**2 + 13 Collect the terms in -18*q + 50*q - 23*q. 9*q Collect the terms in g**2 - 14*g**2 + 19*g**2. 6*g**2 Collect the terms in -732*p + 246*p + 250*p + 241*p. 5*p Collect the terms in -9*c**3 - 17*c**2 + 6*c**2 + 11*c**2. -9*c**3 Collect the terms in -35*n**2 - 17*n**2 - 46*n**2. -98*n**2 Collect the terms in -x**2 - 3569*x**3 + 3*x**2 + 3559*x**3. -10*x**3 + 2*x**2 Collect the terms in -23*m**3 - 32*m**3 - 6*m**3. -61*m**3 Collect the terms in -721968 + 721968 + 5*j. 5*j Collect the terms in -55*z + 2*z + 48*z - z + 7*z. z Collect the terms in -453*g + 231*g + 231*g. 9*g Collect the terms in -206*f**2 - f - 60*f**2 + 24*f**2. -242*f**2 - f Collect the terms in 3*m**2 + 23662*m - 23662*m - 3*m**3. -3*m**3 + 3*m**2 Collect the terms in -203*g - 197*g - 8*g**2 + 400*g. -8*g**2 Collect the terms in -8*y**2 + 19*y**2 + 4 - 31. 11*y**2 - 27 Collect the terms in -62*n + 157*n - 82*n. 13*n Collect the terms in -59*y + 12*y + 27*y. -20*y Collect the terms in -10 + 6 - r + 4. -r Collect the terms in -3*d**2 - 23*d**2 - 15*d**2 + 8*d**2. -33*d**2 Collect the terms in -4 - 3*d + 4 - 6*d**3 - 25*d**3. -31*d**3 - 3*d Collect the terms in 15 - 24 + 9 + s. s Collect the terms in -23349*z**2 + 11684*z**2 + 11667*z**2. 2*z**2 Collect the terms in 23592*j - 47182*j + 23588*j. -2*j Collect the terms in 10*d**3 - 591 + 295 + 296. 10*d**3 Collect the terms in 2*n**3 - 14*n**3 + 17*n**3 - 9*n**3. -4*n**3 Collect the terms in 2632*p**2 - 1308*p**2 - 1325*p**2. -p**2 Collect the terms in 94*c**2 - 40 + 40. 94*c**2 Collect the terms in 2*q**2 + 7*q**2 - q**2 + 0*q**2 - 4*q**2. 4*q**2 Collect the terms in -d**3 + 2*d**3 + 10 - 5. d**3 + 5 Collect the terms in -2*u - 2*u + 4*u - 40*u**3. -40*u**3 Collect the terms in 282*n - 16 + 16. 282*n Collect the terms in 827 - 827 + 11*v**2. 11*v**2 Collect the terms in 35*o**3 + 37*o**3 - 69*o**3. 3*o**3 Collect the terms in q - 356*q**2 - 3*q + q. -356*q**2 - q Collect the terms in -1 + 0 - 12154*s**3 + 12156*s**3 + 1. 2*s**3 Collect the terms in -7*i + 6*i - 17*i - 6*i. -24*i Collect the terms in -9558*h + 2*h**2 + 9558*h. 2*h**2 Collect the terms in 2*f - 5*f - 9*f**3 + 3*f. -9*f**3 Collect the terms in -4*w**2 + 2*w - 10*w + 2*w**2 - 9*w. -2*w**2 - 17*w Collect the terms in -411 + 411 + m**3. m**3 Collect the terms in 144*o**3 - 2*o**3 - 16*o + 16*o. 142*o**3 Collect the terms in 8 - 1 - 57*d - 7 + 58*d. d Collect the terms in -12 + 49 - 6*o**2 + 3*o**2. -3*o**2 + 37 Collect the terms in -5*o**2 - 22*o + o**2 + 2*o**2. -2*o**2 - 22*o Collect the terms in 96*r - 2 + 23*r + 4. 119*r + 2 Collect the terms in -8*o - 2*o - 41*o. -51*o Collect the terms in 18*g**2 - 12*g**2 - 5*g**2 - 3*g**2. -2*g**2 Collect the terms in -89*g**2 + 175*g**2 - 84*g**2. 2*g**2 Collect the terms in -104008 + 4*h + 104008. 4*h Collect the terms in -57*y + 36*y + 30*y. 9*y Collect the terms in 5 - 5 - 2*m - 2*m. -4*m Collect the terms in -3*u - 9*u - 3*u. -15*u Collect the terms in -13*z + 62*z - 9*z. 40*z Collect the terms in 8*f - 4*f + 5*f. 9*f Collect the terms in 0 - 2 + 9*r + 2. 9*r Collect the terms in -3*g**2 + 11*g + 2*g - 13*g. -3*g**2 Collect the terms in 9*q + 39969 - 39969. 9*q Collect the terms in 0 + 8 - 8 + k - 2*k. -k Collect the terms in -2*u - 4*u - 3*u + 7*u. -2*u Collect the terms in 6*o**2 - 5*o**2 - 5*o**2 + 2*o**2 + o**2. -o**2 Collect the terms in -10*k - 13*k + 0*k + 5*k. -18*k Collect the terms in -18*n + 16*n + 3*n. n Collect the terms in -1778033 + 1778033 - h. -h Collect the terms in -2*g**3 + 10 + 2 - 12. -2*g**3 Collect the terms in 9*v**2 - 19*v**2 + 8*v**2. -2*v**2 Collect the terms in 13*y**2 + y - y + 0*y. 13*y**2 Collect the terms in -17*c + 3*c - 10*c. -24*c Collect the terms in 6 - 6 + 10*j. 10*j Collect the terms in 8*s**2 - 2*s**2 - 2*s**2. 4*s**2 Collect the terms in 2*g**2 + 10*g**2 - 7*g**2. 5*g**2 Collect the terms in 16*d**3 - 36*d**3 + 15*d**3. -5*d**3 Collect the terms in -1 + 161*d - 3 - 1 + 4. 161*d - 1 Collect the terms in 22*a**2 + 38*a**2 + 30*a**2 - 94*a**2 + 30*a**2. 26*a**2 Collect the terms in 428*u - 215*u - 216*u. -3*u Collect the terms in 2*l**3 - 20*l**3 + 15*l**3. -3*l**3 Collect the terms in -1014*d + 2033*d - 1016*d. 3*d Collect the terms in -28*b**2 + 2*b**3 - 29*b**2 + 35*b**2 + 22*b**2. 2*b**3 Collect the terms in 49*f + 49 - 49. 49*f Collect the terms in -237 - 15*p**2 + 237. -15*p**2 Collect the terms in -4*q + 27 - 10 - 17. -4*q Collect the terms in 91*f**3 - 598*f**3 - 67*f**2 + f + 67*f**2. -507*f**3 + f Collect the terms in 58*j + 39*j - 47*j - 49*j. j Collect the terms in 7*u**2 - 10*u**2 - 6*u**2 + 11*u**2. 2*u**2 Collect the terms in -143*p**3 + 79*p**3 + 71*p**3. 7*p**3 Collect the terms in -13568*r**2 - 13573*r**2 + 27144*r**2. 3*r**2 Collect the terms in -4 + 11 + 0*s + s. s + 7 Collect the terms in -7 + 3*n + 2 + 2*n. 5*n - 5 Collect the terms in -3*n**3 + 7675*n - 7675*n. -3*n**3 Collect the terms in -9*p**3 + 4*p**3 + 6 + 10*p**3. 5*p**3 + 6 Collect the terms in 2379*w**3 + 2382*w**3 - 7140*w**3 + 2398*w**3. 19*w**3 Collect the terms in 4 + 23*b - 4 + 3. 23*b + 3 Collect the terms in -5 - 65*u**2 + 75*u**2 + 1. 10*u**2 - 4 Collect the terms in -49*q - 44*q + 96*q. 3*q Collect the terms in 40*a**2 - 22*a**2 - 17*a**2. a**2 Collect the terms in -4*h**2 - 15*h**2 + 16*h**2. -3*h**2 Collect the terms in -2903*j**2 + 969*j**2 + 969*j**2 + 963*j**2. -2*j**2 Collect the terms in 9*j + 25*j + j**2 - 5*j - 29*j. j**2 Collect the terms in -56*w**2 + 23*w**2 + 47*w**2. 14*w**2 Collect the terms in -13*n + 19*n + 11*n. 17*n Collect the terms in -23*p + 9*p**2 + p**2 + 23*p. 10*p**2 Collect the terms in 30 - 21 - 2*r**2 - 12. -2*r**2 - 3 Collect the terms in 303*c**2 - 89*c**2 - 215*c**2. -c**2 Collect the terms in -772 - 6*l + 772. -6*l Collect the terms in -3 - 505*v + 3. -505*v Collect the terms in -r + 8 + 29 - 8. -r + 29 Collect the terms in -620*p + 1242*p - 618*p. 4*p Collect the terms in -39*i**3 - 42*i**3 - 22*i**3 + 104*i**3. i**3 Collect the terms in 57*t - 73*t + 4*t**2 - t**2 + 16*t. 3*t**2 Collect the terms in -48*y**3 + 198*y**3 - 71*y**3 - 65*y**3. 14*y**3 Collect the terms in -41*g**2 + 2*g - 2*g + 14*g**2 + 31*g**2. 4*g**2
{ "pile_set_name": "DM Mathematics" }
. -528*u**4 Let k(b) = -7*b - 8. Let g(z) = 5*z + 6. Let q(o) = 4*g(o) + 3*k(o). Let t(r) = -9*r + 10. Calculate q(t(m)). 9*m - 10 Let x(m) = -9*m**2 + 10902365. Let n(v) = 2*v**2. Calculate x(n(a)). -36*a**4 + 10902365 Let m(t) = -264*t. Let f be 212/(-26) - 0 - 114/(-741). Let r(c) = c + 12. Let x(a) = 2*a + 32. Let g(l) = f*r(l) + 3*x(l). Give m(g(v)). 528*v Let b(h) = -2*h**2. Let u(y) = 900 - 1782 + 883 - 739*y. Give u(b(k)). 1478*k**2 + 1 Let p(h) = 9*h - 353. Let j(q) = 8*q - 350. Let i(r) = 4*j(r) - 3*p(r). Let d(l) = l. Determine i(d(y)). 5*y - 341 Let s(o) = 273583*o. Let r(m) = -170*m. Give r(s(q)). -46509110*q Let q(t) = 198622*t - 22 - 198622*t + t**2. Let n(s) = -37*s**2. Calculate n(q(u)). -37*u**4 + 1628*u**2 - 17908 Let a(u) = 5*u**2 - 801*u - 2. Let y(m) = -21*m**2 + 3211*m + 9. Let v(j) = 13*a(j) + 3*y(j). Let d(r) = -2*r**2. Calculate v(d(n)). 8*n**4 + 1560*n**2 + 1 Let t(h) be the first derivative of 11*h**5/20 + 15*h**2/2 + 6*h - 212. Let a(o) be the second derivative of t(o). Let z(m) = -9*m. Determine a(z(f)). 2673*f**2 Let z(q) = -4*q + 349 - 645 + 296. Let m(i) = i**2 - 8*i - 3. Let a be m(9). Let y(d) = a*d**2 + 4*d**2 - 4*d**2. Calculate z(y(r)). -24*r**2 Let q(b) = 322*b**2 - 158*b**2 - 151*b**2. Suppose 5*d - 37 + 7 = 0. Let m(v) = d*v**2 - 2058 + 2058. What is q(m(x))? 468*x**4 Let o(y) = -y**2. Suppose -18*g = -7*g - 176. Let b(h) = 35*h + g*h + 49*h - 16*h. Give o(b(k)). -7056*k**2 Let b(v) = v. Let a(x) be the second derivative of -109*x**4/6 - 5*x**3/2 - 4*x + 660. Give a(b(r)). -218*r**2 - 15*r Let j(d) = -21*d. Let b = 11656 - -22007. Let l(x) = 33663 - b - 3*x. What is j(l(n))? 63*n Let g(j) be the first derivative of 2*j**3/3 - 843. Let x(y) = 2*y**2 - 509*y. Calculate x(g(f)). 8*f**4 - 1018*f**2 Let t(f) = 255*f - 215*f + 479*f. Let w(s) = -2*s. What is t(w(j))? -1038*j Let c(d) = 47755712*d**2. Let a(h) = -h. Determine a(c(z)). -47755712*z**2 Let w(r) = 3900 + 5*r - r + r**2 - 3902. Let p(c) = -c**2 - 6*c + 3. Let x(f) = 2*p(f) + 3*w(f). Let h(d) = -3*d - 3 + 3. Calculate h(x(v)). -3*v**2 Suppose -14 = -8*v + 18. Let g(l) = -v*l - l + l + 2*l. Let q(u) = 70*u - 6. Let d(c) = -c - 2. Let o(n) = -3*d(n) + q(n). Determine o(g(i)). -146*i Let u(x) = -3*x**2. Let g = -201 - -219. Let d(n) = -g*n + 4*n + 580 - 578. Determine u(d(b)). -588*b**2 + 168*b - 12 Let h(l) = 2366*l - 103. Let a(t) = -31*t. Determine h(a(x)). -73346*x - 103 Let y(l) be the second derivative of 101*l**4 + 4*l + 30. Let h(p) = p**2. Give y(h(k)). 1212*k**4 Let a(q) be the third derivative of -7/60*q**5 + 0*q**4 + 0*q**3 + 0*q + 22*q**2 + 0. Let c(o) = -4*o. Determine a(c(w)). -112*w**2 Let z(o) = o - 18. Let j(w) = -261*w**2 + 608*w. Determine z(j(t)). -261*t**2 + 608*t - 18 Let h(w) = 67*w + 149465. Let s(z) = 2*z. Determine h(s(r)). 134*r + 149465 Let m(h) = -2*h + 2*h - 20686226*h**2 + 20686200*h**2. Let v(x) be the first derivative of 5*x**2/2 - 1. Give m(v(i)). -650*i**2 Let r(n) = 33*n**2 - 22*n**2 - 14*n**2. Let f(s) = 2801*s**2. What is f(r(m))? 25209*m**4 Let p(o) = o - 2. Let b(n) = -2*n + 3. Let c(s) = 2*b(s) + 3*p(s). Let w(z) be the first derivative of 0*z + 11/2*z**2 + 108. Determine c(w(a)). -11*a Let j(a) = 4*a**2. Let p(k) = 201466441*k. What is j(p(b))? 162354907396825924*b**2 Let y(j) be the first derivative of -13*j**3 + 1010. Let q(f) = f + 4. Determine q(y(x)). -39*x**2 + 4 Let u(f) be the second derivative of f**5/30 - 19*f**4/8 + 137*f**2 + 236*f. Let m(p) be the first derivative of u(p). Let t(d) = -2*d. Give t(m(y)). -4*y**2 + 114*y Let d be (-1)/(1*-2*(-20)/520). Let p(y) = -41*y + 11. Let i(m) = 19*m - 5. Let w(v) = d*i(v) - 6*p(v). Let g(u) = u**2. Calculate w(g(z)). -z**2 - 1 Let q(t) = 4*t**2 + 4*t**2 - 3*t**2 + 3*t**2. Let g(o) = -65*o**2 + 26*o - 13. Let j(d) = -16*d**2 + 6*d - 3. Let u(i) = -3*g(i) + 13*j(i). Give u(q(v)). -832*v**4 Let v(w) = 1191901*w**2. Let b(s) = 705*s. Give v(b(d)). 592404594525*d**2 Let b(z) = 6754716*z. Let w(f) = -8*f. Calculate b(w(q)). -54037728*q Let n(y) = 2*y**2 - 1147. Let z(x) = -193*x**2. What is n(z(r))? 74498*r**4 - 1147 Let f(b) = -4*b. Let c(z) = 109*z - 557. Let h(s) = 22*s - 2. Let u(t) = -c(t) + 5*h(t). Calculate u(f(a)). -4*a + 547 Let x(i) = -700*i - 25. Let d(m) = 222*m**2. Calculate x(d(a)). -155400*a**2 - 25 Let b(a) = a**2. Let q(i) = 5*i - 2. Let v(f) = -183657*f + 75996. Let x(c) = 37998*q(c) + v(c). Give x(b(o)). 6333*o**2 Let k(o) = 5*o**2 + 1. Let u(i) = 52*i - 117. Let n(y) = 66*y - 149. Let d(p) = 11*n(p) - 14*u(p). Calculate k(d(j)). 20*j**2 + 20*j + 6 Let m(h) = -6*h**2 + 7*h. Let k(c) = -c**2 + c. Let q be -2*(-6)/(-16) - 715/(-20). Let v(u) = q*k(u) - 5*m(u). Let i(z) = 36*z**2. What is i(v(f))? 900*f**4 Let q(u) = -129710*u**2 + 300*u. Let l(a) = 3*a. Give q(l(m)). -1167390*m**2 + 900*m Let x(o) = 5*o. Let z(f) be the second derivative of f**3/6 - 3*f**2/2 + 39*f + 10. What is x(z(i))? 5*i - 15 Let x(k) = -381490*k. Let b(i) = -278*i - 3. What is b(x(y))? 106054220*y - 3 Suppose -17*w = -191410 - 1914. Let l(i) = -3*i + 11372 - w. Let m(v) = 10*v. Determine m(l(a)). -30*a Let a(y) be the first derivative of 0*y**2 - 224 + 2*y - 10/3*y**3. Let q(w) = 5*w. Determine a(q(r)). -250*r**2 + 2 Let h(q) = -13195764*q. Let p(a) = 2*a. Determine p(h(i)). -26391528*i Let j(f) be the first derivative of -4*f**6/45 - 16*f**3/3 - 12. Let v(n) be the third derivative of j(n). Let d(k) = 3*k**2 - 4*k**2 - k**2. Calculate v(d(a)). -128*a**4 Let t(v) = 2*v. Let b(g) be the third derivative of 45*g**5/4 + g**2 + 2*g - 18. Determine b(t(w)). 2700*w**2 Let w(g) be the first derivative of -31*g**2 + 2*g - 2291. Let i(u) = 14*u**2. Determine i(w(a)). 53816*a**2 - 3472*a + 56 Let i(o) = -1500*o**2 + o + 1475*o**2 - o. Let z(f) be the second derivative of -f**4/12 + 7*f. Calculate z(i(t)). -625*t**4 Let w(m) = m - 70. Let q(y) = -44*y - 6. Let a(t) = -31*t - 4. Let k(x) = 6*a(x) - 4*q(x). Give w(k(h)). -10*h - 70 Let a(t) be the first derivative of -29*t**6/360 - 29*t**3 - 41. Let w(z) be the third derivative of a(z). Let n(u) = 6*u**2. Give n(w(g)). 5046*g**4 Let f(h) = 1. Let u(i) = -38*i**2 - 4. Let o(p) = 4*f(p) + u(p). Let s(g) be the first derivative of g**2/2 - 57062. Determine o(s(t)). -38*t**2 Let k(p) = 2*p**2 + 1152*p. Let c(a) = 322*a. What is k(c(t))? 207368*t**2 + 370944*t Let m(c) = 2*c - 6. Let z = 871 - 864. Suppose 4*n = 5 + 3, -3*n = -2*t. Let v(b) = 2*b + t*b - z*b. Give v(m(f)). -4*f + 12 Let h(x) = 417311*x. Let y(s) = 24*s**2. Calculate y(h(d)). 4179563297304*d**2 Let d(c) = -163*c. Let y(n) = 1513*n - 17. Let u(f) = -357*f + 4. Let w(p) = 17*u(p) + 4*y(p). Determine d(w(t)). 2771*t Suppose -1125 = -6*d + 591. Let w(j) = d*j**2 - 566*j**2 + 295*j**2. Let v(s) = s**2. Determine w(v(n)). 15*n**4 Let p(v) = -193*v. Let t(r) = 3*r + 11. Let k(q) = q + 4. Let j(x) = 4*x - 1. Let u be j(3). Let m(y) = u*k(y) - 4*t(y). Calculate m(p(z)). 193*z Let l(w) = 22*w**2 + 12*w - 6. Let c(i) = 43*i**2 + 22*i - 11. Let y(o) = 6*c(o) - 11*l(o). Let t(j) = 39*j**2. Calculate t(y(k)). 9984*k**4 Let b(v) = 4*v**2 + 12*v - 33. Let m(q) = -2*q + 6. Let x(k) = b(k) + 6*m(k). Let h(y) = -11*y. What is x(h(d))? 484*d**2 + 3 Let q(w) = -5*w**2 + 9*w - 4. Let v(o) = 2*o**2 - 2*o + 1. Let h(a) = -2*q(a) - 9*v(a). Let u(c) = -29*c + 3. Give h(u(g)). -6728*g**2 + 1392*g - 73 Let t(n) = -138*n + 414*n - 134*n - 139*n. Let r(u) be the first derivative of -10 - 19/2*u**2 + 0*u. What is r(t(b))? -57*b Suppose 3*z = 2*d + 31, 4*z + 6*d = 4*d + 32. Let n be 8/(-6)*z/(-6). Let p(x) = -81*x**n + 163*x**2 - 85*x**2. Let t(r) = -2*r. What is t(p(i))? 6*i**2 Let k(o) = 32*o. Let r(c) = 1801 + 29*c + 1784 - 3585. Determine k(r(p)). 928*p Let t(k) be the first derivative of -21*k**2 - 1401. Let v(u) = 56*u. Calculate t(v(z)). -2352*z Let m(p) be the second derivative of -p**3/3 + 17*p**2 - 2626*p. Let x(r) = -29*r**2. Give m(x(w)). 58*w**2 + 34 Let w(o) be the first derivative of 243*o**2 - 1729. Let k(x) = 3*x**2. What is k(w(y))? 708588*y**2 Let h be (1/(-3))/(6/9) + 35594/1924. Let y(a) be the second derivative of -h*a + 0*a**2 + 1/6*a**3 + 0. Let i(w) = -36*w. Give i(y(q)). -36*q Let n(t) = 97*t**2. Let x(h) = 24 + 25 - 29 - 20 + 8*h**2. Determine n(x(g)). 6208*g**4 Suppose 2*v + 5
{ "pile_set_name": "DM Mathematics" }
b) = b**2 - 2*b + 1. Let j(y) = 202*y**2 - 9*y + 15*y + 6 - 80*y + 8*y. Let w(q) = j(q) - 5*s(q). Find the second derivative of w(t) wrt t. 394 Let z(t) be the first derivative of -14*t - 84 + 5/2*t**2 - t**3. What is the derivative of z(q) wrt q? -6*q + 5 Let x(u) be the second derivative of 55/2*u**2 - 19/4*u**4 + 3 - 2*u + 0*u**3. What is the derivative of x(h) wrt h? -114*h Let w(h) be the third derivative of 44/3*h**3 - 43/120*h**6 + 159*h**2 + 0*h**5 + 0*h + 0*h**4 + 0. Find the first derivative of w(m) wrt m. -129*m**2 Let h(y) be the second derivative of 2535*y**8/56 - 4393*y**4/12 - 2317*y. Find the third derivative of h(j) wrt j. 304200*j**3 Suppose -6*d - 405 = -11*d. Suppose -t + d = 7. What is the third derivative of -t*s + 16*s**2 + 142*s - 68*s - 12*s**4 wrt s? -288*s What is the first derivative of -2*p + 112*p**2 - 162*p**2 - 6*p + 1433 + 19*p + 14*p wrt p? -100*p + 25 Suppose 57*g = 63*g + 162. Let h = -25 - g. What is the first derivative of -7*x**h + 22 - 26 + 39 wrt x? -14*x Let h(g) be the second derivative of -227*g**5/10 + g**3/3 - 1208*g**2 + 1239*g + 2. What is the first derivative of h(l) wrt l? -1362*l**2 + 2 Let p = 294 + -254. What is the derivative of b + p*b + 37*b + 26 wrt b? 78 Let p(h) = 4*h**2 - 4*h + 1. Let t(j) = -239*j**2 - 12*j - 1500. Let o(k) = 3*p(k) - t(k). Differentiate o(y) wrt y. 502*y Suppose -21*g + 25*g - n = 720, 3*n = -g + 180. Differentiate 43*p - 71 - g*p - 190*p wrt p. -327 Suppose -5344 = -75*r + 59*r. What is the second derivative of -17 + 335*o - 25*o**4 - 37*o**4 - r*o wrt o? -744*o**2 Let i be 85/7 - (-6)/(-42). What is the first derivative of i*j**3 - 1080 + 23*j**3 + 1081 wrt j? 105*j**2 What is the second derivative of -20692*u - 311 + 20 + 26 + 6460*u**3 + 20694*u wrt u? 38760*u Find the second derivative of 68*i**3 - 15016*i**2 + 15016*i**2 - 1059*i + 3*i**4 wrt i. 36*i**2 + 408*i Let k(h) = 1035*h**3 - 1258*h**2. Let i(w) = -1039*w**3 + 1257*w**2. Let x(n) = -3*i(n) - 2*k(n). Find the third derivative of x(z) wrt z. 6282 What is the second derivative of 199*k + 102*k**5 - 1094*k + 200*k**5 + 58*k**5 wrt k? 7200*k**3 Let j(t) = 96*t + 115. Let z(i) be the third derivative of 12*i**4 + 172*i**3/3 + 59*i**2. Let h(w) = 8*j(w) - 3*z(w). What is the derivative of h(f) wrt f? -96 Find the third derivative of 29*r**2 - 35*r**2 - 6 - 3*r + 4 + 66*r - 9518*r**3 + 9*r**2 wrt r. -57108 Let b be (38 + -43)/(1/(-1)). What is the third derivative of a**5 - 3*a**b + 4 - 6*a**4 + 8*a**4 - 22*a**4 - 6*a**2 wrt a? -120*a**2 - 480*a Suppose 0 = -3*j + 104 - 98. Let q = 12 + -7. Find the third derivative of -14*l**q + 97*l**2 + 2*l**4 - 92*l**j - 2*l**4 wrt l. -840*l**2 Suppose 3*o + 242 = 14*o. Suppose 3*p = a + o, 3*p - 4*a - 28 = p. What is the third derivative of 397*i - 397*i - p*i**6 - i**2 wrt i? -720*i**3 What is the second derivative of 779*n + 0*n**3 - n**3 + 776*n**5 - 2287*n**5 - 495 + 493 wrt n? -30220*n**3 - 6*n Suppose -10*p - 2*s + 848 = -6*p, s = -3*p + 638. What is the second derivative of -6464*j**3 + p*j + 6464*j**3 - 120*j**4 + 9*j**4 wrt j? -1332*j**2 Let q(m) be the first derivative of 83*m**5/5 - 4*m**4 + 5*m**3 - 80*m**2 + 1854. What is the third derivative of q(x) wrt x? 1992*x - 96 Let g(a) = a**4 + 2*a**3. Let i(j) = 128*j**4 - 10*j**3 + 7*j**2 - 685. Let b(p) = 5*g(p) + i(p). What is the first derivative of b(y) wrt y? 532*y**3 + 14*y Let h(s) = s**4 + 2*s**3 + s**2 - s + 1. Let w(l) = 4*l**4 + 6*l**3 + 3*l**2 + 39*l - 790. Let u(t) = 3*h(t) - w(t). What is the first derivative of u(y) wrt y? -4*y**3 - 42 Let j(b) = b**3 - 12*b**2 - 12*b + 19. Let u be j(13). Let c = u - 30. What is the derivative of -11 - 6*r**c + 7*r**2 + r**2 wrt r? 4*r Let g(o) be the first derivative of 1601*o**2/2 + 88*o - 720. Differentiate g(v) wrt v. 1601 Suppose 8*s = 3*s + 765. Let w = -118 + s. What is the second derivative of -w*k**4 + k + k + 36*k wrt k? -420*k**2 Let x be 81 + 9 - (3 - -4). Differentiate 168*n**2 - 76 - 84*n**2 - x*n**2 - 43*n**3 wrt n. -129*n**2 + 2*n Differentiate 1828 - 157*o**2 + 3818 - 269*o**2 + 90*o**2 - 2*o**3 + 2*o + 229 wrt o. -6*o**2 - 672*o + 2 Let o(m) = 6003*m**3 + 13*m**2 + 22*m - 34. Let d(s) = -2001*s**3 - 4*s**2 - 8*s + 12. Let b(v) = -11*d(v) - 4*o(v). Find the third derivative of b(w) wrt w. -12006 Differentiate 281 - 107 + 440 - 12 + 241 + 815*h wrt h. 815 Let w(x) be the second derivative of 463*x**7/42 - 7*x**4/6 + 3*x**3 + 1341*x. Find the third derivative of w(g) wrt g. 27780*g**2 Let u(x) = 382*x**3 - x**2 - 5*x + 7. Let h be u(1). Differentiate -383*b**2 - 94*b**3 - 31 - 47 + h*b**2 with respect to b. -282*b**2 Let b(r) = 2*r**3 + 2*r**2 - r + 4. Let c(u) = -633*u**3 + 8*u**2 - 4*u - 97. Let q(g) = -4*b(g) + c(g). Find the first derivative of q(o) wrt o. -1923*o**2 Let x = 114/61 - -268/183. Let s(b) be the second derivative of -x*b**3 + 0 + 0*b**2 + 5/3*b**4 + 17*b. What is the second derivative of s(n) wrt n? 40 Let u(c) be the second derivative of 701*c**7/42 + c**4 - 3*c**3 - 3*c + 12. What is the third derivative of u(w) wrt w? 42060*w**2 Find the third derivative of 131 - 804*m**3 - 12669*m**3 - 316*m**2 + 680*m**2 + 14*m - 367*m**2 wrt m. -80838 Let j(t) be the second derivative of -4643*t**3/3 - 5283*t**2/2 + 7806*t. Differentiate j(f) with respect to f. -9286 Let n(d) = 16*d + 52. Let l be n(-3). Find the second derivative of -54*h - 3*h**2 + 54*h - l*h**4 - 144*h wrt h. -48*h**2 - 6 Let c = -84 - -327. What is the second derivative of 3 + 16*k + c*k**4 - 3 - 29*k**4 + 147*k wrt k? 2568*k**2 What is the second derivative of 10 + 6 - 1168*c + 3 - 1904*c**2 + 1144*c wrt c? -3808 Suppose 9 = -6*r + 9*r. What is the third derivative of 9*a**2 + 13*a**2 + 4*a**4 + 7*a**3 + r*a**3 + 36*a**2 wrt a? 96*a + 60 Suppose 0 = -4*g + 3*g + 6. Let d be -3*1 - 10*(5 - g). Differentiate -d*s + 9*s + 2*s + 22*s - 16 wrt s. 26 Let d(r) = -r**3 + 7*r**2 - 5*r. Let w be d(6). Let l be (-1)/w + (-444)/(-72). What is the second derivative of 16*y**2 + l*y + 21*y**2 - 12*y**2 + 11*y wrt y? 50 Let z(g) be the third derivative of 659*g**5/30 + g**4/12 + 272*g**3/3 - 18*g**2 - 26. Find the second derivative of z(k) wrt k. 2636 Suppose 10 - 2 = 2*q. Suppose q*a = 5*o + 266, 2*o - 1 = 3. Find the first derivative of a*s + 2 + 10*s**2 - 37*s - 32*s wrt s. 20*s Let p(i) be the second derivative of -i**6/3 - 33*i**5/20 - 867*i**4/4 + 5*i - 579. What is the third derivative of p(b) wrt b? -240*b - 198 Let k(h) be the first derivative of -h**4/2 - 1957*h**3/3 + 4060*h - 337. Find the first derivative of k(j) wrt j. -6*j**2 - 3914*j What is the second derivative of -22*l + 83*l + 15*l - 991*l**2 + 4*l + 60*l wrt l? -1982 Let h(a) be the first derivative of 25*a**6/3 + 14*a**5/5 - a**4 + a**2/2 + 3657*a + 5453. Find the second derivative of h(q) wrt q. 1000*q**3 + 168*q**2 - 24*q What is the second derivative of 2744*r**2 - 1122*r**2 + 134*r + 11 + 34*r wrt r? 3244 Let v(x) = -x + 21. Let i be v(16). Let n be ((-2)/5)/(i/(-25)) + 1. What is the second derivative of z - 9*z + 0*z + 49*z**n - 83*z**3 wrt z? -204*z Let z(p) be the third derivative of 749*p**5/6 - 2681*p**4/6 - 2*p**2 + 438. What is the second derivative of z(i) wrt i? 14980 Let c(n) be the third derivative of 53*n**8/56 - 31*n**4/24 - 4*n**3 + 927*n**2. Find the second derivative of c(u) wrt u. 6360*u**3 Let q(j) be the second derivative of -287*j**4/12 - j**3/6 - 104*j**2 + 199*j. Find the second derivative of q(k) wrt k. -574 Let u(h) be the first derivative of h**6/2 + 109*h**4/4 + 41*h**3/3 + 74*h - 4350. What is the third derivative of u(g) wrt g? 180*g**2 + 654 Let d(v) = 39*v + 4. Let l be d(1). Let h = 45 - l. Find the third derivative of -7*x**4 - 8*x**h + 16*x**2 - 4*x**4 wrt x. -264*x Suppose -43*x + 40*x + 6 = 0. Find the second derivative of 20*m**x + 22*m**2 - 42*m**2 - 82*m**3 + 24*m wrt m. -492*m Let m(i) be the first derivative of 147*i**4/4 - 4*i**3 + 3163*i + 1092. What is the first derivative of m(t) wrt t? 441*t**2 - 24*t Let i(s) = s**3 + 8*s**2 - 9*s - 13. Let t be i(-9). Let f = -9 - t. What is the third derivative of -7*w**f + 5*w + 8*w**4 - w**2 - 5*w wrt w? 24*w Let f(h) be the second derivative of -953*h**6/15 - 7*h**3/6 - 53*h**2/2 + 771*h. Find the second derivative of f(y)
{ "pile_set_name": "DM Mathematics" }
8*b + 238. Let r = 17 - 52. What are the prime factors of b/r - (-2)/5? 5 Let a(l) = 13*l + 6. Let k be a(2). What are the prime factors of k/(-2 - 5/(-2))? 2 What are the prime factors of (60/16)/(-3*1/(-400))? 2, 5 Suppose 0 = 4*f - 8, g + 12 = -g - 5*f. Let h = g - -155. What are the prime factors of h? 2, 3 Let n(v) be the first derivative of v**5/60 - 5*v**4/24 + 5*v**2/2 - 1. Let d(y) be the second derivative of n(y). List the prime factors of d(6). 2, 3 Let f be 1 + 2 + -41 + 2. Suppose 0 = -15*y + 26*y + 737. Let n = f - y. List the prime factors of n. 31 Let r = 202 + 11. List the prime factors of r. 3, 71 Suppose 5*s - 23 = 4*u, -5*u + 1 = -2*s - 0. Suppose -s*n + 20 = -3*n. Let d = n - -5. List the prime factors of d. 2, 5 Let o be (-1220)/(-34) - 2/(-17). Let q = -4 - -35. Let m = o - q. List the prime factors of m. 5 Let w(h) be the second derivative of -2*h**3/3 + 5*h**2/2 - 2*h. Let t(z) = -z**2 + 4*z - 10. Let u be t(3). List the prime factors of w(u). 3, 11 What are the prime factors of ((-1)/(3/957))/(-1) - -3? 2, 7, 23 Suppose -3 = 4*x - 19. Suppose 2*z - 5*f - 84 = 0, 152 = x*z + 5*f - 76. List the prime factors of z. 2, 13 Let u(x) = -x**3 + x**2 + 2*x + 786. What are the prime factors of u(0)? 2, 3, 131 List the prime factors of ((-504)/16)/21 - 1429/(-2). 23, 31 Suppose -h + 712 = 3*f - 2*h, 2*f - 476 = h. Suppose 2*c - 3*a - 108 = 0, 4*c - 5*a - f = -20. List the prime factors of c. 2, 3 Suppose 5*s + 13 = 2*x + 48, x = s - 10. Suppose 6*q - 136 = s*q. Suppose 10*v - q = 6*v. What are the prime factors of v? 2, 17 Suppose 14*i + 1038 = 17*i. List the prime factors of 14/49 + i/14. 5 Let o(m) = -m**2 + 27*m - 8. Let i(n) = 1. Let c(k) = -4*i(k) + o(k). List the prime factors of c(13). 2, 5, 17 Let m(b) = 15*b - 293. What are the prime factors of m(34)? 7, 31 Let g be 37/(-4)*(2/(-1) + -122). Suppose g = 6*u - 449. What are the prime factors of u? 2, 7, 19 Suppose -3*y + 3*j + 21 = 0, -5*y = 5*j + 11 + 4. Suppose y*i - 181 = 215. Suppose -2*l - 3*n = -119, 5*l + 4*n = i + 110. What are the prime factors of l? 2 Suppose -2*z + 36 = 2*j, -4*z + 3*j = -110 + 24. Suppose -2 = -2*k, 3*u + k - 14 = z. List the prime factors of u. 11 Let k(b) = -16*b + 25. Let r(u) = 3*u - 5. Let x(c) = 2*k(c) + 11*r(c). Let f be x(5). Suppose -2*n = -f*n - 24. What are the prime factors of n? 2, 3 List the prime factors of (-9)/12 + (-14190)/(-40). 2, 3, 59 Let w be 87/58*(-4)/(-6). Let l(x) = 89*x**3 - 2*x**2 + 3. List the prime factors of l(w). 2, 3, 5 Let r = 3 - 2. Let q be (-2)/(4 + -2 + -1). What are the prime factors of q - r - -2 - -22? 3, 7 Suppose -7*a - 1208 - 738 = 0. Let k = -162 - a. List the prime factors of k. 2, 29 Suppose 2*z + 5*n + 12 = 0, -5*z = -0*z - 2*n + 1. Let j be (1 - z)/((-2)/39). Let k = -13 - j. What are the prime factors of k? 2, 13 Suppose f + 16 = -7. Let b = f - -64. What are the prime factors of b? 41 Let d = -56 - -395. List the prime factors of d. 3, 113 Let a(o) = -o**2 + 7*o - 6. Let q be a(5). Suppose q*n = 5*n + s - 96, 5*n - 471 = -2*s. Suppose 29 = u - i, -29 = 2*u + i - n. List the prime factors of u. 31 Suppose 5*b + z - 57 = -0*b, 0 = -3*b - 4*z + 24. Let d(o) be the first derivative of -o**4/4 + 13*o**3/3 - 5*o**2 - 3*o - 3. List the prime factors of d(b). 3, 7 Let r be (908 - -2)*2/(-5). Let c be (-3)/(r/352 - -1). Let z = -29 + c. List the prime factors of z. 59 Let g(k) = -k**2 + 6*k + 3. Let p be g(6). Suppose -248 = -p*q + 61. Let m = q + -62. What are the prime factors of m? 41 Let d(u) be the third derivative of -u**5/120 + u**4/24 + u**3/2 - 3*u**2. Let l(k) be the first derivative of d(k). What are the prime factors of l(-4)? 5 Suppose -w + 0 = -5. Suppose -3*l = l - 2*b - 170, 5*b = w*l - 205. What are the prime factors of l? 2, 11 Suppose -a = -1, -2*l + 4*a + 1 = -3. What are the prime factors of (-1576)/(-28) + l/(-14)? 2, 7 Let h = 1120 + -650. What are the prime factors of h? 2, 5, 47 Let v be (7 - 4)/((-12)/(-32)). Suppose -v*a = -5*a - 57. Let l = -5 + a. What are the prime factors of l? 2, 7 Suppose 24 = 2*b - 2. Let p = 11 - b. What are the prime factors of p*(4 + -4 + -20)? 2, 5 Suppose -5*s - 2*c + c = -57, -4*c = -2*s + 14. Suppose -3*k + 2*l + 27 = -l, -5*l = 3*k - s. List the prime factors of k. 7 What are the prime factors of (12/16 - 1) + (-125895)/(-44)? 2861 Let j(w) = -17*w - 39. Suppose -47*a = -49*a - 26. What are the prime factors of j(a)? 2, 7, 13 Let z be (-4)/(-12) - (-34)/6. Let p(s) = -s**3 + 8*s**2 + 2*s - 3. What are the prime factors of p(z)? 3 Let t = -5 + 5. Suppose 2*w + 4*y + 18 = t, 0 = -4*w - 4*y - 22 - 30. Let p = w + 35. List the prime factors of p. 2, 3 Let c(a) = -a + 5. Let k be c(2). Suppose -k*b = -r, 3*r = -b - 4*b - 70. Let y = -12 - r. What are the prime factors of y? 3 Let h(l) = -l**2 + 2*l - 403. Let g be h(0). Let x = -146 - g. List the prime factors of x. 257 Suppose 6*f = -206 + 980. What are the prime factors of f? 3, 43 Let y be 2/11 + (-1098)/(-11). Let s be y/6 - 4/(-12). Suppose -2*w - 3*g = -21, -7 + s = -2*g. List the prime factors of w. 2, 3 Suppose -5*j - 37 = -3*m, -j - 17 = -m + 3*j. Suppose 180 = 5*s - h, 2*s - h = -2*s + 143. Let c = s - m. List the prime factors of c. 2, 7 Let q = -91 + 82. Let a(k) = 3*k**2 + 9*k - 29. What are the prime factors of a(q)? 7, 19 List the prime factors of 162 + -6*4/(-24). 163 Let i = -15 - -24. Let f be (-4 - -1)/(i/(-24)). Suppose f = -3*v + 23. List the prime factors of v. 5 Let w = -9 - -1. Suppose -4*f + 0*o = -5*o - 94, 4*o + 29 = f. Let z = f + w. What are the prime factors of z? 13 Suppose -3*j - f + 1345 = 0, 1135 + 1101 = 5*j - 4*f. What are the prime factors of j? 2, 7 Let x = -741 - -1237. What are the prime factors of x? 2, 31 Suppose 0 = -5*v - 20, g + 4*v = 7*v + 12. Suppose h - 2*y - 89 = g, 0 = -3*y + 2*y + 1. List the prime factors of h. 7, 13 What are the prime factors of (-101 - 12)/(2*4/(-40))? 5, 113 Let w(k) = -k**3 + 5*k**2 - 3*k - 1. Let a be w(4). Suppose 0 = -3*p + a*z + 201, p - 48 = -3*z + 27. List the prime factors of p. 3, 23 Suppose -3*m - 1563 = -6*m - 3*p, p + 523 = m. What are the prime factors of m? 2, 3, 29 Suppose -w + 4*i = w - 322, 0 = 4*w - 3*i - 654. Suppose -5 + w = 5*l. List the prime factors of ((-120)/l)/(6/(-16)). 2, 5 Let z be (-1 + 3)/(-2)*-10. Let b(r) be the third derivative of r**4/3 - 4*r**3 + 46*r**2 + 3*r. List the prime factors of b(z). 2, 7 Suppose 0 = -3*w - 2*t + 518, 2*t = 12*w - 8*w - 672. Let c = w + -101. What are the prime factors of c? 3, 23 Let n(j) be the first derivative of j**4/12 + 5*j**3/3 - 6*j**2 - 6*j - 5. Let z(w) be the first derivative of n(w). List the prime factors of z(-13). 3 Let t = 0 + 0. Let i(d) = d - 13. Let g be i(16). Suppose -3*z = 2*r - 54, g*z - 60 = -t*z - 4*r. What are the prime factors of z? 2 Let y(c) = -25*c + 71. What are the prime factors of y(-7)? 2, 3, 41 Let y be (-4)/22 - 474/(-66). Let d be (2/(-12))/(y/(-42)). What are the prime factors of (d - 1) + (-5 - -31)? 2, 13 Let t = -4899 + 7363. What are the prime factors of t? 2, 7, 11 Suppose 23*o = 10274 + 1364. What are the prime factors of o? 2, 11, 23 Suppose -2 + 4 = -3*q - 2*v, -26 = -5*q + 4*v. Suppose -3*m - 5 = -0*m + 5*u, q*m = 3*u - 16. What are the prime factors of ((-15)/m)/((-3)/(-22))? 2, 11 Suppose 0 = 2*o + q + 665, 0*o + 4*o - 4*q + 1324 = 0. Let g be (-7)/21 + o/(-6). Let p = g + -32. What are the prime factors of p? 23 Let d = -254 - -375. Suppose -t + 3*z = 7*z + d, 4*z = 5*t + 629. What are the prime factors of (t/(-20))/((-1)/(-4))? 5 Let j(y) = 3*y + 15. Let w be j(-8). What are the prime factors of w/(-15) - (-828)/45? 19 Suppose 4*t - l - 183 = 0, -3*l = 4*t - 8*l - 195. Suppose 4*h - t = 51. Let k = h + -18. List the prime factors of k. 2, 3 Suppose -3*h + 5 + 4 = 3*y, -3*h = -2*y - 29. What are the prime factors of h? 7 Let l be 7*(-6*(-3)/(-6))/(-3). Suppose -235 = -l*j + 2*j. What are the prime factors of j? 47 Let n(x) = 8*x**2 - x - 3. Let p(u) = 2*u**2 + u + 3. Let q be p(0). List the prime factors of n(q). 2, 3, 11 Suppose 6*t = t + 1050. Let n = t - 77. What are the prime factors of n? 7, 19 Suppose -3453 = -8*b + 467. Let c = b + -348. What are the prime factors of c? 2, 71 Suppose 5*k = -4*o + k + 16060
{ "pile_set_name": "DM Mathematics" }
.2. Let l = 0.2 + s. Sort 3, -3/4, l. -3/4, l, 3 Let a(x) = -x**2 - 17*x - 14. Let z be a(-16). Let w = -0.5 + 0. Sort 0.3, z, w in decreasing order. z, 0.3, w Suppose -3*i + 6*i = -2*b + 4, 2*b + 4*i - 2 = 0. Let y = b - 2. Let h(f) = 5*f**3 - f**2 - 2*f - 1. Let s be h(-1). Put -1, s, y in descending order. y, -1, s Let s be (3 - 3)*(-2)/(-2). Suppose s = -3*j + 1 + 8. Suppose l - 7 = j*l - 3*q, 0 = -q + 1. Put 4, l, -5 in descending order. 4, l, -5 Let p be 4/((-8)/(-6)) - -3. Suppose -p*q = -3*q + 6. Let w be (-3 - 7)*1/q. Put w, -5, -1 in decreasing order. w, -1, -5 Let i = -0.8 + 7.8. Let o = 0.08 - -5.92. Let u = i - o. Sort 0, -2, u in decreasing order. u, 0, -2 Suppose 3*a + 29 = -5*p, 0 = 2*p - 6*a + 2*a - 4. Put p, -2, 0 in decreasing order. 0, -2, p Let v be 2 - (2 - -2 - 2). Sort -0.1, -3, v in descending order. v, -0.1, -3 Let d = 6 - 1. Sort d, -10, 1 in decreasing order. d, 1, -10 Let l = 1/57 + -61/228. Let s be (-172)/100 + 4/2. Let b = -3/25 - s. Sort l, b, -1 in descending order. l, b, -1 Suppose 2*n = 5*n + 3. Let m(l) = 2*l**2 + 2*l + 1. Let h be m(-1). Let z = h + n. Put 3, 1, z in ascending order. z, 1, 3 Let u = 1 + 1. Suppose -3*v = 2*a + a + 15, u*v + 7 = a. Sort 5, 1, a. a, 1, 5 Let a be ((-3)/((-18)/4))/((-42)/49). Let u be (116/189)/((-2)/(-3)). Let y = a + u. Put 0, y, -0.2 in decreasing order. y, 0, -0.2 Let s = 117 + -200. Let o = s + 579/7. Let z = -0.1 - -0.2. Put 1/3, z, o in descending order. 1/3, z, o Let j = 172/207 - 14/23. Put -1, 0, j, 1/4 in increasing order. -1, 0, j, 1/4 Let o be -1 - ((-17)/26 + (-3)/6). Sort 0.2, -3, o in descending order. 0.2, o, -3 Let g = 121/2 + -62. Suppose -2*l = 3*b + 6, 5*l + 16 - 1 = 0. Suppose -4*u + 18 - 6 = b. Sort u, -0.2, g in increasing order. g, -0.2, u Let x = -0.2 - -9.2. Let o = x - 4. Let j(w) = -w**2 + 8*w + 15. Let p be j(10). Put p, 1, o in decreasing order. o, 1, p Let t be 1 - (-15)/9*-3. Let h be t/(-16) - 6/(-8). Put -1, -0.1, h in increasing order. -1, -0.1, h Let c = -3 + 2.8. Let u = 0.99 - -0.01. Let g = 1.9 + 0.1. Put g, c, u in decreasing order. g, u, c Let p = 0.2 - 5.2. Let h = 43 - 42.8. Sort h, p, 0.1 in ascending order. p, 0.1, h Let k be (1/2)/(3/(-2)). Let q be (0 + -3 + 3)/2. Let c be (q - -2) + 18/(-8). Put k, -2, c in descending order. c, k, -2 Suppose -2*m - 5*p = 9, m - 5*p + 5 = -7. Put m, -5, -4, 5 in descending order. 5, -4, -5, m Let h = 21.1 - 21. Sort -2/5, 4, h. -2/5, h, 4 Let i = -33/2 + 15. Sort 1/3, i, -2/9. i, -2/9, 1/3 Suppose 51 = 78*a - 61*a. Let f be 2*(-2)/((-2)/(-1)). Sort a, f, -5 in descending order. a, f, -5 Let p(h) = h**3 - 4. Let z be p(0). Let l(g) = g**3 + 17*g**2 - g - 16. Let v be 366/(-21) - (-3)/7. Let o be l(v). Sort o, -2, z in descending order. o, -2, z Suppose -7*t + 4*g = -3*t - 84, -3*g = -4*t + 89. Put 1, t, -3 in ascending order. -3, 1, t Let a be (0/1)/1*1. Suppose 4*w + 16 = -a. Put w, -5, 2 in descending order. 2, w, -5 Suppose -3*a = -z - 9, -4*a - 4 = -2*a - 4*z. Let s = 10 - 7. Let y = -49 + 244/5. Put a, y, s in ascending order. y, s, a Let d(s) = -6*s**3 + 0*s**2 + 3 + 5*s - 2*s**2 + 5*s**3 - 1. Let z be d(-3). Put 1, z, -1 in decreasing order. 1, -1, z Let l = -0.1 - -0.34. Let b = l + 0.06. Sort b, -4, -5 in descending order. b, -4, -5 Suppose 2*a = 3*a - 16. Let q be 4/a + 1/(-4). Suppose i + 1 - 5 = q. Sort -5, -4, i in ascending order. -5, -4, i Let v be -1 + (0 - 1 - -2). Suppose -9 = -2*p + h, 3*p - 6*h - 24 = -h. Suppose 4*r - 3 - 1 = 0. Put p, r, v in ascending order. v, r, p Let v = -22 + 21. Sort -5, v, 5 in descending order. 5, v, -5 Suppose 4*f = 5*f. Let n be (-63)/156 - 2/(-8). Sort 3/5, f, n in increasing order. n, f, 3/5 Let x = 1104/7 + -158. Sort -2, x, -5. -5, -2, x Let v be (-27)/(-21) + 4/(-14). Let l = -31 + 33. Put l, -3, v in descending order. l, v, -3 Let p be (-2)/(-8) + (-35)/(-4). Let u be (-13)/3 + 3/p. Let v = -6 - u. Sort v, 3, 0 in decreasing order. 3, 0, v Let s = 0.12 - 0.03. Let b = s + -4.09. Let m = 3.7 + b. Sort m, -0.4, -1 in decreasing order. m, -0.4, -1 Let m = 23 + -15. Suppose 0*o = 4*o + m. Put -0.2, o, 2/13 in decreasing order. 2/13, -0.2, o Let z(u) = -u**2 - 5*u - 3. Let k be z(-4). Let q be k + 3/(-6)*2. Put q, -2, -3 in ascending order. -3, -2, q Let g = -8 - -12. Let o be 44/(-10) - 2/(-5). Let y(t) = -t - 1. Let x be y(o). Sort x, g, -1/4. -1/4, x, g Let h be ((-112)/(-28))/((-1)/(1 + 0)). Let q(y) = y**3 + 3*y**2 - 4*y + 4. Let f be q(-4). Put h, -3, f in decreasing order. f, -3, h Let w = -5.7 - -6. Let j = w + -0.7. Let y = 10 - 8. Sort y, j, 5. j, y, 5 Let w(f) be the second derivative of -f**3/6 + f**2 - 6*f. Suppose 6*i - i - 25 = 0. Let y be w(i). Sort y, 3, 4 in descending order. 4, 3, y Let f = -72 - -27. Let i be (-20)/f*(-1)/2. Suppose -2*k + 13 = -2*y + k, -4*y - 5 = k. Sort 1, i, y. y, i, 1 Let p = 19 - 12. Let y be 2/p - (-52)/14. Let l = 2 - y. Put l, 2, 5 in increasing order. l, 2, 5 Let q = -7 - -8. Suppose 2*p + 5 = 3*s, 3*s - q - 3 = p. Let f(n) = -n + 2. Let u be f(6). Sort -5, s, u in descending order. s, u, -5 Let b be (-2)/7 - 24/14. Let k be (-1)/(((-2)/(-16))/(-1)). Let f = k - 5. Sort b, f, 2 in increasing order. b, 2, f Suppose 4*v = -3*m - 74, 3*m - 8 + 2 = 0. Let r = -19 - v. Sort 5, r, -2 in decreasing order. 5, r, -2 Suppose 2*r = -2*r - 44. Let l = r - -13. Let k be (-1)/(-1) + 0 + -2. Put l, -2, k in increasing order. -2, k, l Let p = -114 - -114.3. Sort 0.2, p, -4, 6 in descending order. 6, p, 0.2, -4 Suppose -t - c + 2 = -0, -3*c + 6 = 5*t. Let q = 0.077 + -0.047. Sort 3, q, t. t, q, 3 Let x = -1 + 3.5. Let y = 3 - x. Sort 0.1, y, 1. 0.1, y, 1 Let p = -1 + -2. Let h be ((-2)/2)/1 + -8. Let w = -4 - h. Put 0.5, p, w in descending order. w, 0.5, p Let w = 4.5 - 4. Let h = -0.1 - 0.4. Let i = w + h. Sort -4, i, 0.4 in descending order. 0.4, i, -4 Suppose 3*x - 32 = -4*z + 8, 0 = 2*x + 3*z - 26. Suppose l - 4 = -0*n + n, 4*l - 5*n = x. Sort 5, l, -5 in increasing order. -5, l, 5 Let x = 10 + -2. Sort x, 0, -3 in decreasing order. x, 0, -3 Suppose k - v = -6*v - 15, -5*k + 37 = -3*v. Suppose 45 + 10 = 5*n. Suppose 9 + n = -k*m. Sort 5, 3, m in descending order. 5, 3, m Let x = 30.3 + -33. Let v = 3.05 - 0.05. Let h = v + x. Put h, -4/5, -6 in decreasing order. h, -4/5, -6 Suppose 17*s - 16*s + 16 = 0. Sort -5, s, 5. s, -5, 5 Let w = -1.101 + 0.101. Sort 0, 0.4, w in increasing order. w, 0, 0.4 Let q(d) = -d**2 + 7*d + 3. Let j be q(7). Let w = 109.07 + -104. Let c = 0.07 - w. Put 0.5, j, c in increasing order. c, 0.5, j Let s(c) = c**2 + 5*c + 4. Let v be s(-4). Suppose 30*g = -15 - 105. Put v, g, -0.5 in ascending order. g, -0.5, v Suppose -d - 12 = 3*r + 3*d, -5*r = 5*d + 20. Sort -5, r, -2 in ascending order. -5, r, -2 Let q = -17 - -22. Put q, 13, 0 in decreasing order. 13, q, 0 Let k be 12/(-20) - 6/15*1. Sort 0, k, -5, -3 in increasing order. -5, -3, k, 0 Suppose -6*s - 4 = -4*s. Sort 2, s, 1 in increasing order. s, 1, 2 Let l = -2 - -2. Let d be -1 - (-3 - 2 - 1). Suppose 5*w + 3*v = -7 - 9, -4*w + 3*v - 29 = 0. Sort w, d, l. w, l, d Let s be 6/(-8) + -1 + 41/(-164). Put s, 0, 13 in ascending order. s, 0, 13 Let v = -61.6 - -68. Let h = v + 1.6. Let p = -3 + h. Sort 1, 2, p in increasing order. 1, 2, p Let b = 23/5 - 141/35. Let f = 7/22 - -97/110. Sort f, b, 0 in increasing order. 0, b, f Let b = 101/55 - 18/11. Sort -0.8, -3, b in ascending order. -3, -0.8, b Let g = 19 + -18.96. Sort g, -0.4, -4 in descending order. g, -0.4, -4 Let u be 4 - 4 - 1*-4. Suppose 3*m = -5*r - 19, 0 = -u*r - 3 - 17. Let z = 4 - 6. Put -4, z, m in ascending order. -4, z, m Suppose -41*y - 8 = -49*y. Sort -2, -9, y in decreasing order. y, -2, -9 Let w(c) = c**2 + c - 1. Let l = 9 - 9. Let j be w(l). Put 0.4, -0.05, j in ascending order. j, -0.05, 0.4 Let a = -1 + 6. Suppose -8 = -a*q - 3*k, -3*q + 0*q + k = -16. Let o be ((-2)/4)/((-1)/(-2)). Sort 5, o, q in increasing order. o, q, 5 Let w = -0.14 + 0.14. Put w, -5, 0.4 in decreasing order. 0.4, w, -5 Let k(g) = 3*g - 2. Let v be k(2). Suppose 9*p - v*p = 0. Suppose -3*t + t - h = 6, -4*h - 14 = 3*t. Sort t, p, -5 in increasing order. -5, t, p Let d(a) = a**2 + 6*a + 4. Let k be d(-4). Let y(z) = -z**2 + 3*z. Let s be y(5). Let t be (s/(-4) + -2)*-10. Sort k, t, -2. t, k,
{ "pile_set_name": "DM Mathematics" }
is the closest to -1 in t, 3, m? m Let y be (-4)/5*(-7)/(-14). What is the nearest to y in 0.1, 5, 1/5? 0.1 Let n = 360 + -361. Let l be 3 + -2 + (-8)/10. What is the nearest to n in l, -0.1, 0.3? -0.1 Let a = 68.6 + -69. What is the nearest to -2 in a, 0.1, 1/2, -0.5? -0.5 Let v = 18 + 2. Let n = v + 4. Let s be 8/n*6/(-4). Which is the nearest to -1? (a) -1/5 (b) 0 (c) s c Let w be 30/(-1 - 1)*24/(-72). Which is the nearest to 0.3? (a) -3/5 (b) -0.5 (c) 5/6 (d) w c Let v be (-18)/(-63)*2/6. Let w = 0.23 + -9.23. Let r = w + 6. Which is the closest to 1? (a) r (b) 1/3 (c) v b Let h = -383 + 388. Which is the closest to 3? (a) -3 (b) -7 (c) 0 (d) h d Let q = -9.04 - -9. Let j = 164.7 + -165. Which is the nearest to -2/5? (a) j (b) q (c) 2 a Let x = -1940 + 1939.8. Let w be 2/(-4)*8/(-6). Let g(q) = q - 5. Let d be g(0). Which is the closest to w? (a) -0.14 (b) d (c) x a Let w = 1152 + -1148. Which is the closest to 0.1? (a) 2/9 (b) w (c) -0.2 a Let r = 0.205 - 0.605. What is the nearest to 0 in 4/9, -0.15, -1, r? -0.15 Let p = -6285789/55 - -114284. Let i = p - -36/11. Suppose 0 = 7*k - 50 + 15. What is the closest to k in i, 3/8, 1/6? 3/8 Let w(g) = -g**3 - 3*g**2 + g + 13. Let i be w(-6). Let k = -117 + i. Which is the closest to -2/29? (a) k (b) 6 (c) 4 a Let b be (-12)/(-8)*8/42. Let h = 162 - 809/5. What is the nearest to -1 in 2/5, h, b? h Let w = -3.44 + 4.44. Suppose 75 = -5*q + p, 0 = -2*q + 4*p - 0*p - 12. Let j = -63/4 - q. Which is the nearest to 0.1? (a) w (b) -0.3 (c) j c Let c = -4 + 3.6. Let g = 0.20712 - 0.10712. What is the closest to -1/2 in -4/7, c, g? -4/7 Let z = 21 - 32. Let k = 4 + z. Let s = k + 9. Which is the closest to s? (a) -5 (b) 1/5 (c) -0.5 b Let m = 14.4 - 14.3. Let g = 3850/1037 - 62/17. Let n = g - -110/183. Which is the closest to m? (a) 0 (b) n (c) 2/9 a Let b = 443 + -444. Let w = -0.64 + 0.04. What is the nearest to b in 4, w, 1/7? w Let x be (-1072)/(-1876) + (-11)/7. Let j = -5 - -7. What is the nearest to j in x, 4, 3? 3 Let d = 185/12 - 91/6. Let v = 0.6 - -1.4. Which is the closest to 0? (a) 0 (b) d (c) v a Let m = -3 - -9. Let l be m*10/45 + 23/(-15). Let u = 0.2 - -0.3. What is the closest to -1 in l, -1/2, u? -1/2 Let u = -691 - -689. Which is the closest to 2/17? (a) u (b) -0.3 (c) 1 (d) -5 b Let y = 330.7 - 331. Let j = 5 + -3. What is the closest to 1 in -1/2, y, j? j Let u = 2/403 + -423/4030. Which is the closest to -3? (a) -5 (b) u (c) -2 c Let v be (-2)/(-12) + (-12)/(-9). Suppose 0 = 19*z + 79 + 16. Which is the nearest to 1/2? (a) -2 (b) z (c) v c Suppose -4*k - 20 = -4*w, -2*k - k - 15 = -4*w. Let v = 0.35 + -0.75. Let n = 110 - 112. Which is the closest to -2? (a) n (b) k (c) v a Let o = 0.301 - 0.041. Let q = o - 0.66. Let m = -1 + 1. Which is the nearest to -1/2? (a) m (b) -0.1 (c) q c Let f = -0.034 + 1.634. Let v = 40 - 38.1. Let h = v - f. What is the nearest to 0 in -3, h, 3/5? h Let j be (1*2/4)/5. Let l = 15173/2 - 7586. Which is the closest to -2/3? (a) 1 (b) j (c) l b Let u = -0.1 + 0.1. Let c = -91 - -90. Let h be (15/6 + c)/(-3). What is the nearest to u in h, -6/5, -1/3? -1/3 Let h = -8 - -7. Let x = -70 - -73. What is the nearest to 2 in h, -0.2, x? x Let f = 0.339 - -0.161. Suppose -k - l = -26, 0 = 5*k + 2*l - 3*l - 124. Let t = -47/2 + k. Which is the closest to 0.1? (a) 4 (b) f (c) t b Let d = -315/2 + 157. Let k be 1/2*(-1 + 0). Which is the nearest to k? (a) d (b) -0.02 (c) -1/5 a Let y be (1889 - 1889)/(10/(-6) + 2/3). Let v = 0.1 + -0.2. What is the closest to v in y, -3, -1/3? y Let i be 9/12 - 17/(-4). Suppose -i*b - 40 + 105 = 0. Let f = 14.8 + -15.8. What is the nearest to f in -5, b, -0.5? -0.5 Let k(r) = -r - 7. Let v be k(-6). Suppose 2*j + 61 - 51 = -2*z, 4*j - 4 = 2*z. What is the nearest to j in -4, 0.03, v? v Let d = 1.33 - 1.83. What is the closest to 0 in d, -0.4, 10, -0.1? -0.1 Let s = -0.26 - 22.74. Let h = 22.9 + s. Which is the closest to h? (a) 0.5 (b) 3/4 (c) -2 a Suppose -126 = -58*j + 48. What is the closest to 0.2 in -3, -115, j, -0.4? -0.4 Let o = 8 - -52. Let r be (-46)/o + (-2)/(-3). Let p = -317 + 316. Which is the nearest to 0? (a) r (b) 2 (c) p a Suppose 0 = i + 3 - 8. Suppose i = -4*p + 1. Which is the closest to -1? (a) 1 (b) p (c) 0.4 b Let c(b) = 12*b**2 - 2. Let j be c(2). Let v be 3/(-12) - j/(-120). Let q = -15/44 - -1/11. What is the nearest to 1 in v, -2, q? v Suppose -7*l + 11 = -o - 2*l, -4*l - 200 = 5*o. Let y = 717/28 - 433/7. Let h = y - o. What is the nearest to 0.2 in h, 5, 1/2? 1/2 Let n be -7 - -62*8/64. What is the closest to 0 in n, -6, -5, 0? 0 Let y be 2/8 + (-19)/(-84). Let l = y - 1/7. Suppose -54*f - 54 = -324. What is the nearest to -2 in 2/21, f, l? 2/21 Let g = -1.7 - -5. Let d = -3.3 + g. Which is the nearest to d? (a) -0.7 (b) 3 (c) 4 a Let z = 13 + -13.17. Let n = z + -0.05. Let b = n - -0.22. What is the closest to b in -0.1, -5, 4? -0.1 Let m = 871 - 871.9. Which is the nearest to 4? (a) 5 (b) 0 (c) m a Let m = 102 - 101.7. What is the closest to 0.2 in m, 2, -3? m Let i = 1 - 1.02. Let g = 0.38 - i. Let k be (-2)/(0 + 0 - (0 - -2)). What is the closest to k in g, -6/5, -1? g Let w = 118 + -113. Let j be (-4)/16 + (-3)/20. Let o be 1 + 0 - (-3)/(-6). What is the closest to j in 4/7, w, o? o Let s = 97 + -106. Let w = 9.1 + s. Which is the nearest to 4/9? (a) -5 (b) w (c) 1 b Let w = 730 + -729.95. What is the nearest to w in -2/17, -1, 1/11, 1? 1/11 Let i(r) = -r**2 + 4*r + 15. Let q(j) = 2*j - 13. Let l be q(10). Let n be i(l). Let m be 8/6 + 4/n. What is the nearest to m in 3, -1/13, 2/3? 2/3 Let z = -0.0957 + -21.0543. Let f = z - -21. Let m = 0.25 + f. Which is the nearest to m? (a) -3 (b) 3 (c) 1/9 c Let y = -76.868 + -0.132. Let x = 80 + y. Which is the nearest to x? (a) -2/19 (b) 0.1 (c) 1/2 c Let x be 0 - -2*1/5. Let g = -1124 - -5621/5. Which is the closest to 2/3? (a) g (b) 5 (c) x c Let r = 1 - 6. Let l be 1 + (-7)/r + -2. Let j = 22 - 21.5. What is the nearest to 3/7 in 2, l, j? l Let s = -157 + 1097/7. What is the closest to s in 3, -2, 5? -2 Let n = 3957/35 - 566/5. Let f = 0.06 + 2.94. Which is the nearest to 7? (a) 1/3 (b) n (c) f c Let x(z) = 4*z - 45. Let n be x(10). What is the closest to n in 2/3, -1/4, -2/13, -0.1? -1/4 Let h = 66 + -49. Let a = -23.036 - -0.036. Let v = a + h. What is the nearest to -1 in v, 0.4, -0.5? -0.5 Let s = -0.713 + 0.613. Let l be 138/(-5)*(-2)/(-3). Let z = l - -296/15. What is the closest to 4 in 3/5, z, s? z Let v = 1.78 + -1.88. What is the closest to 2/11 in v, -6, 5? v Let m = -149 + 299/2. Let g = -6 + 5.6. What is the closest to 16 in 2, g, m? 2 Let l = -0.2 + -5.8. Which is the closest to -1/3? (a) 4/3 (b) 5 (c) l a Let g = 36 - 88. What is the nearest to 0 in 0.1, 2/17, g? 0.1 Let t be 20/(-15)*(532/104 + -5). Which is the nearest to 1/3? (a) 0.04 (b) 2/5 (c) t (d) 1 b Let d = -29.4 - -29. Which is the nearest to -1? (a) 1.5 (b) 0 (c) d c Suppose 47 + 457 = -6*k. Let s = -85 - k. What is the nearest to s in 2/11, -1/2, -6? -1/2 Let a = 0.592 - 0.392. What is the closest to -1 in 0.3, a, -2/25, -3? -2/25 Let n(z) = 2*z - 21. Let i be n(11). Let s be (-1)/(i - -1 - 5). Which is the closest to -2/7? (a) 1/4 (b) 3 (c) s a Let r be (-35)/(-420)*8/(-4). Let n = 3.8 + -4. Which is the closest to n? (a) r (b) -1/5 (c) 3 b Let d = -0.058 - -5.358. Let n = -0.3 + d. Let u = 6780 - 6785. What is the nearest to 1 in n, u, 2/3? 2/3 Let u = -139 - -2083/15. Which is the nearest to u? (a) -0.16 (b) -1 (c) 5 a Let y = -656 - -1311/2. What is the closest to 1/3 in 7, 0, 3/5, y? 3/5 Let m = 0.735 - -0.265. Which is the closest to -0.3? (a) 5 (b) m (c) -3 b Let k = 0.95 - 1.25. What is the closest to 1/3 in -9, -3, -2, k? k Let x = 2.04 + -0.04. Let h = -74 - -73. Which is the nearest to x? (a) -1/3 (b) 0.5 (c) h b Let p = -805 - -804.93. Which is the nearest to 0? (a) 0.09 (b) 0 (c) p (d) 4 b Let x = 3.2416 + -0.0316. Let r = -3.71 + x. Let w = 0 + 0.5. What is the closest to -2 in -1, r, w? -1 Let w be (-7)/(-4) - 2/8. Let t be 502/(-10)*5/(-4). Let b = t - 63. What is the nearest to 2/3 in w, b, 1? 1 Let r = 1 - 0. Let w = -12038 + 12046
{ "pile_set_name": "DM Mathematics" }
of 1931? 1931 What are the prime factors of 7481? 7481 List the prime factors of 69539. 69539 List the prime factors of 153096. 2, 3, 6379 What are the prime factors of 1754? 2, 877 List the prime factors of 15204. 2, 3, 7, 181 What are the prime factors of 3169? 3169 What are the prime factors of 32511? 3, 10837 List the prime factors of 75678. 2, 3, 12613 List the prime factors of 1287. 3, 11, 13 What are the prime factors of 5996? 2, 1499 What are the prime factors of 1145? 5, 229 List the prime factors of 21282. 2, 3, 3547 List the prime factors of 1941. 3, 647 What are the prime factors of 5081? 5081 What are the prime factors of 118? 2, 59 List the prime factors of 4766. 2, 2383 List the prime factors of 305. 5, 61 What are the prime factors of 1616? 2, 101 What are the prime factors of 3587? 17, 211 List the prime factors of 3396. 2, 3, 283 What are the prime factors of 3133? 13, 241 List the prime factors of 7469. 7, 11, 97 List the prime factors of 2248. 2, 281 What are the prime factors of 13394? 2, 37, 181 What are the prime factors of 319? 11, 29 List the prime factors of 1297. 1297 List the prime factors of 11115. 3, 5, 13, 19 What are the prime factors of 2030? 2, 5, 7, 29 List the prime factors of 66551. 61, 1091 What are the prime factors of 1368? 2, 3, 19 List the prime factors of 1287. 3, 11, 13 List the prime factors of 270. 2, 3, 5 List the prime factors of 1038. 2, 3, 173 What are the prime factors of 4331? 61, 71 List the prime factors of 28771. 28771 List the prime factors of 1351. 7, 193 List the prime factors of 2255. 5, 11, 41 List the prime factors of 878. 2, 439 List the prime factors of 166130. 2, 5, 37, 449 List the prime factors of 1465. 5, 293 What are the prime factors of 843? 3, 281 List the prime factors of 101367. 3, 7, 1609 What are the prime factors of 2083? 2083 List the prime factors of 48171. 3, 16057 List the prime factors of 4180. 2, 5, 11, 19 List the prime factors of 15411. 3, 11, 467 What are the prime factors of 8089? 8089 List the prime factors of 2692. 2, 673 List the prime factors of 41751. 3, 4639 List the prime factors of 6648. 2, 3, 277 What are the prime factors of 15444? 2, 3, 11, 13 What are the prime factors of 1429? 1429 List the prime factors of 131399. 23, 29, 197 List the prime factors of 1250. 2, 5 What are the prime factors of 835? 5, 167 List the prime factors of 82970. 2, 5, 8297 What are the prime factors of 558? 2, 3, 31 List the prime factors of 187. 11, 17 What are the prime factors of 4099? 4099 What are the prime factors of 1300? 2, 5, 13 List the prime factors of 26940. 2, 3, 5, 449 What are the prime factors of 4293? 3, 53 List the prime factors of 1683. 3, 11, 17 What are the prime factors of 594? 2, 3, 11 List the prime factors of 15616. 2, 61 What are the prime factors of 21102? 2, 3, 3517 List the prime factors of 7353. 3, 19, 43 What are the prime factors of 144? 2, 3 List the prime factors of 6612. 2, 3, 19, 29 What are the prime factors of 115080? 2, 3, 5, 7, 137 List the prime factors of 11478. 2, 3, 1913 What are the prime factors of 491? 491 List the prime factors of 17772. 2, 3, 1481 What are the prime factors of 20714? 2, 10357 What are the prime factors of 1311? 3, 19, 23 What are the prime factors of 387? 3, 43 List the prime factors of 282. 2, 3, 47 List the prime factors of 52320. 2, 3, 5, 109 List the prime factors of 18296. 2, 2287 What are the prime factors of 12471? 3, 4157 List the prime factors of 3719. 3719 What are the prime factors of 67646? 2, 149, 227 What are the prime factors of 142? 2, 71 List the prime factors of 6280. 2, 5, 157 What are the prime factors of 29389? 29389 List the prime factors of 2912. 2, 7, 13 List the prime factors of 25912. 2, 41, 79 List the prime factors of 12269. 12269 List the prime factors of 6535. 5, 1307 List the prime factors of 15595. 5, 3119 List the prime factors of 261. 3, 29 What are the prime factors of 87852? 2, 3, 7321 What are the prime factors of 942? 2, 3, 157 What are the prime factors of 13025? 5, 521 List the prime factors of 5956. 2, 1489 What are the prime factors of 21433? 21433 What are the prime factors of 13840? 2, 5, 173 List the prime factors of 2355. 3, 5, 157 List the prime factors of 2476. 2, 619 What are the prime factors of 27335? 5, 7, 11, 71 What are the prime factors of 349? 349 List the prime factors of 3176. 2, 397 What are the prime factors of 85773? 3, 28591 List the prime factors of 8689. 8689 What are the prime factors of 64? 2 What are the prime factors of 5766? 2, 3, 31 What are the prime factors of 17642? 2, 8821 List the prime factors of 6976. 2, 109 List the prime factors of 1526. 2, 7, 109 What are the prime factors of 14517? 3, 1613 List the prime factors of 34994. 2, 17497 What are the prime factors of 2793? 3, 7, 19 List the prime factors of 8160. 2, 3, 5, 17 List the prime factors of 5589. 3, 23 List the prime factors of 27397. 27397 What are the prime factors of 959? 7, 137 List the prime factors of 8343. 3, 103 List the prime factors of 98521. 83, 1187 What are the prime factors of 11131? 11131 What are the prime factors of 6704? 2, 419 What are the prime factors of 1969? 11, 179 What are the prime factors of 1147? 31, 37 List the prime factors of 714. 2, 3, 7, 17 What are the prime factors of 2687? 2687 List the prime factors of 13152. 2, 3, 137 List the prime factors of 29797. 83, 359 List the prime factors of 6319. 71, 89 What are the prime factors of 5488? 2, 7 List the prime factors of 1459. 1459 List the prime factors of 1301. 1301 List the prime factors of 24908. 2, 13, 479 List the prime factors of 937. 937 List the prime factors of 4104. 2, 3, 19 What are the prime factors of 1328? 2, 83 What are the prime factors of 737? 11, 67 What are the prime factors of 288? 2, 3 What are the prime factors of 305? 5, 61 List the prime factors of 459. 3, 17 List the prime factors of 32179. 7, 4597 List the prime factors of 5386. 2, 2693 List the prime factors of 21240. 2, 3, 5, 59 List the prime factors of 24. 2, 3 What are the prime factors of 331? 331 What are the prime factors of 30595? 5, 29, 211 List the prime factors of 2710. 2, 5, 271 List the prime factors of 370. 2, 5, 37 List the prime factors of 78839. 78839 List the prime factors of 4360. 2, 5, 109 What are the prime factors of 4076? 2, 1019 What are the prime factors of 101833? 101833 What are the prime factors of 58880? 2, 5, 23 List the prime factors of 87844. 2, 21961 What are the prime factors of 13735? 5, 41, 67 What are the prime factors of 11150? 2, 5, 223 What are the prime factors of 21352? 2, 17, 157 List the prime factors of 1128. 2, 3, 47 What are the prime factors of 63918? 2, 3, 53, 67 List the prime factors of 2792. 2, 349 What are the prime factors of 21951? 3, 271 What are the prime factors of 2242? 2, 19, 59 List the prime factors of 37003. 37003 List the prime factors of 93775. 5, 11, 31 List the prime factors of 9599. 29, 331 What are the prime factors of 4575? 3, 5, 61 List the prime factors of 10955. 5, 7, 313 What are the prime factors of 6130? 2, 5, 613 What are the prime factors of 15072? 2, 3, 157 List the prime factors of 66198. 2, 3, 11, 17, 59 List the prime factors of 7718. 2, 17, 227 What are the prime factors of 1183? 7, 13 What are the prime factors of 59? 59 What are the prime factors of 31902? 2, 3, 13, 409 List the prime factors of 13130. 2, 5, 13, 101 What are the prime factors of 37510? 2, 5, 11, 31 What are the prime factors of 49837? 19, 43, 61 What are the prime factors of 57029? 7, 8147 List the prime factors of 411. 3, 137 What are the prime factors of 3217? 3217 List the prime factors of 11772. 2, 3, 109 What are the prime factors of 19628? 2, 7, 701 What are the prime factors of 43590? 2, 3, 5, 1453 What are the prime factors of 59187? 3, 109, 181 List the prime factors of 18024. 2, 3, 751 List the prime factors of 5725. 5, 229 List the prime factors of 1326. 2, 3, 13, 17 What are the prime factors of 23157? 3, 31, 83 List the prime factors of 83355. 3, 5, 5557 What are the prime factors of 8290? 2, 5, 829 What are the prime factors of 1103? 1103 What are the prime factors of 55996? 2, 13999 List the prime factors of 8754. 2, 3, 1459 What are the prime factor
{ "pile_set_name": "DM Mathematics" }
king 1 p and 2 e when three letters picked without replacement from ppppppppppppeepppppp. 3/190 Four letters picked without replacement from cwwcwpg. Give prob of picking 1 c, 1 p, and 2 w. 6/35 What is prob of picking 1 n and 3 y when four letters picked without replacement from {y: 10, n: 2}? 16/33 Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {p: 3, t: 3, h: 2, q: 2, w: 1, u: 1}. 1/33 Four letters picked without replacement from uuusussuss. What is prob of picking 3 s and 1 u? 5/21 Three letters picked without replacement from {b: 5, w: 2, e: 10, y: 2, z: 1}. What is prob of picking 1 z, 1 b, and 1 y? 1/114 Two letters picked without replacement from jjjjjjjjjjjjqjjfjjjj. Give prob of picking 1 j and 1 q. 9/95 Four letters picked without replacement from {r: 4, g: 1, o: 3, u: 3}. What is prob of picking 2 r and 2 o? 3/55 Three letters picked without replacement from rrrrriirririi. What is prob of picking 3 i? 5/143 Two letters picked without replacement from tutubq. Give prob of picking 2 t. 1/15 Two letters picked without replacement from kbjxkkkb. What is prob of picking 2 b? 1/28 What is prob of picking 2 u when two letters picked without replacement from ruuuuuruuuu? 36/55 Calculate prob of picking 1 s, 1 l, 1 i, and 1 b when four letters picked without replacement from {b: 1, s: 2, i: 3, d: 1, l: 5}. 2/33 What is prob of picking 1 p and 1 x when two letters picked without replacement from {u: 1, k: 2, w: 4, p: 2, x: 2, m: 1}? 2/33 What is prob of picking 2 r and 1 p when three letters picked without replacement from mvcvprpmpcprr? 6/143 Four letters picked without replacement from {r: 2, a: 4}. Give prob of picking 1 r and 3 a. 8/15 Calculate prob of picking 1 a, 1 s, and 1 g when three letters picked without replacement from fmbbfgmbfmasbm. 1/364 What is prob of picking 1 e, 1 u, and 1 b when three letters picked without replacement from uubiiebbbiiiebiebbb? 16/323 Calculate prob of picking 1 l, 1 y, and 1 b when three letters picked without replacement from hfhhbyyllbhhnylnyhb. 12/323 Calculate prob of picking 2 e when two letters picked without replacement from sese. 1/6 Calculate prob of picking 2 o, 1 m, and 1 q when four letters picked without replacement from nmnnonmqomnnq. 6/715 Two letters picked without replacement from {f: 2, r: 17}. What is prob of picking 2 f? 1/171 Calculate prob of picking 3 q and 1 b when four letters picked without replacement from rbrqqrbqrlbqqnulbqqq. 224/4845 Three letters picked without replacement from ffqfpnpnpw. Give prob of picking 2 f and 1 w. 1/40 What is prob of picking 3 h and 1 j when four letters picked without replacement from hjhhhhhjh? 5/9 Two letters picked without replacement from svssvssssvsssvsssvs. Give prob of picking 2 s. 91/171 Three letters picked without replacement from mqveqqmqev. What is prob of picking 1 v, 1 q, and 1 m? 2/15 Two letters picked without replacement from ccncccnpnnncccncccn. What is prob of picking 1 p and 1 c? 11/171 Two letters picked without replacement from {g: 2, v: 1, u: 3, e: 1, b: 13}. What is prob of picking 1 v and 1 u? 3/190 Calculate prob of picking 3 i when three letters picked without replacement from ibiibbbbbi. 1/30 What is prob of picking 1 z and 2 i when three letters picked without replacement from {z: 2, i: 8}? 7/15 Two letters picked without replacement from {m: 4, c: 2, h: 4, w: 1}. Give prob of picking 1 m and 1 c. 8/55 Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {a: 2, h: 2, f: 3, r: 1, d: 6, k: 1}. 2/105 What is prob of picking 3 v and 1 j when four letters picked without replacement from {x: 2, t: 3, v: 3, d: 3, g: 2, j: 1}? 1/1001 What is prob of picking 1 j, 1 m, 1 k, and 1 q when four letters picked without replacement from amaaqaqajkmjk? 16/715 Two letters picked without replacement from jtttj. Give prob of picking 1 j and 1 t. 3/5 Two letters picked without replacement from {g: 3, p: 1, r: 2, a: 1, y: 3}. Give prob of picking 1 p and 1 g. 1/15 What is prob of picking 1 f, 1 z, and 1 e when three letters picked without replacement from zeefeezezzeee? 16/143 Four letters picked without replacement from {f: 12, u: 3}. Give prob of picking 2 u and 2 f. 66/455 Calculate prob of picking 1 o, 1 g, 1 w, and 1 c when four letters picked without replacement from jjwgcoc. 2/35 Calculate prob of picking 1 s and 1 b when two letters picked without replacement from smmmmmmbmmm. 1/55 Calculate prob of picking 1 z and 2 p when three letters picked without replacement from {x: 1, a: 6, p: 1, z: 2, o: 3}. 0 Calculate prob of picking 4 b when four letters picked without replacement from {c: 9, b: 5}. 5/1001 Three letters picked without replacement from {t: 7, s: 7, a: 2, u: 3}. Give prob of picking 1 t and 2 s. 49/323 What is prob of picking 2 p when two letters picked without replacement from {p: 3, x: 4, j: 1, g: 2, r: 4}? 3/91 What is prob of picking 3 m when three letters picked without replacement from {m: 10}? 1 What is prob of picking 1 g and 1 x when two letters picked without replacement from dgpddoxpdpx? 2/55 Four letters picked without replacement from {w: 3, f: 1, s: 7, p: 3}. Give prob of picking 4 s. 5/143 Three letters picked without replacement from bocobnnnobocbvknocc. What is prob of picking 2 b and 1 n? 8/323 Four letters picked without replacement from {l: 2, f: 2, o: 2, c: 3}. Give prob of picking 1 l and 3 c. 1/63 Calculate prob of picking 2 s when two letters picked without replacement from ksnsn. 1/10 Calculate prob of picking 2 f when two letters picked without replacement from {i: 2, f: 18}. 153/190 Two letters picked without replacement from {w: 3, v: 2, r: 12}. Give prob of picking 1 v and 1 w. 3/68 Two letters picked without replacement from nnnccn. What is prob of picking 2 c? 1/15 Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {q: 7, g: 2, r: 1}. 2/45 Three letters picked without replacement from baexeambeeena. What is prob of picking 1 m, 1 e, and 1 n? 5/286 Four letters picked without replacement from keaezaazkqat. Give prob of picking 1 t, 1 k, and 2 z. 2/495 Two letters picked without replacement from {z: 1, r: 4, n: 1, x: 11}. Give prob of picking 1 z and 1 x. 11/136 Three letters picked without replacement from {t: 2, d: 2, y: 2, k: 6}. What is prob of picking 2 d and 1 y? 1/110 Two letters picked without replacement from {u: 4, t: 2, i: 8, d: 4, m: 2}. Give prob of picking 1 i and 1 t. 8/95 Two letters picked without replacement from {a: 7, d: 3, x: 1, t: 3}. What is prob of picking 1 t and 1 x? 3/91 Four letters picked without replacement from lhhhweshaeee. What is prob of picking 4 e? 1/495 Four letters picked without replacement from {h: 5, r: 9, w: 2, c: 2}. What is prob of picking 4 r? 7/170 What is prob of picking 1 w and 1 h when two letters picked without replacement from ubnwnhbut? 1/36 Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {a: 2, t: 8, i: 2, m: 2, v: 2}. 1/30 What is prob of picking 1 z and 1 v when two letters picked without replacement from efvqqllz? 1/28 Four letters picked without replacement from rgpgggxprx. What is prob of picking 2 p, 1 x, and 1 g? 4/105 What is prob of picking 2 f when two letters picked without replacement from sssfsffsssf? 6/55 What is prob of picking 3 p when three letters picked without replacement from kkhuhupkvpkpkkhkyu? 1/816 What is prob of picking 2 j when two letters picked without replacement from lmlpjppplllmppmppl? 0 Three letters picked without replacement from vqcqv. Give prob of picking 2 q and 1 c. 1/10 Four letters picked without replacement from pppprpprrppppppppp. Give prob of picking 2 r and 2 p. 7/68 Three letters picked without replacement from fffuffffffuff. Give prob of picking 1 u and 2 f. 5/13 Two letters picked without replacement from jkkkjkjkjjjjkjkjjkkj. Give prob of picking 2 j. 11/38 What is prob of picking 3 m and 1 c when four letters picked without replacement from ggmmmgmgmmzmgggcc? 1/34 Two letters picked without replacement from aatattttatatt. Give prob of picking 2 a. 5/39 Calculate prob of picking 2 a when two letters picked without replacement from {k: 5, a:
{ "pile_set_name": "DM Mathematics" }
-88 Solve -128043 = -21726*a + 7499*a for a. 9 Solve -102*k - 123*k + 84 = -197*k for k. 3 Solve 5288 - 7239 = -287*m + 12586 + 3257 for m. 62 Solve -198*b - 9541 + 1027 = 0 for b. -43 Solve -105*x - 18*x - 24345 = 429*x - 11*x for x. -45 Solve 339 - 436 - 506 = -3*s + 12*s for s. -67 Solve 18591*c = 18720*c + 1290 for c. -10 Solve -710*o = -287*o - 325*o - 314*o - 5832 for o. -27 Solve 0 = -395*n + 1452*n + 31710 for n. -30 Solve 45023306*x - 342 = 45023312*x for x. -57 Solve -1415*x = -21*x + 59942 for x. -43 Solve 19944*u - 1606583 = -4358855 for u. -138 Solve -132*m - 856 = 2763 + 11297 for m. -113 Solve -7066*j - 12741 - 3073 = 7948 + 4502 for j. -4 Solve -44*z - 15*z - 66*z - 34*z + 3021 = 0 for z. 19 Solve -179*v + 207*v = 735*v + 9898 for v. -14 Solve 0 = 4913*o - 4983*o - 3080 for o. -44 Solve 216*s + 207*s = -504*s + 1854 for s. 2 Solve -1133 - 2404 - 8258 + 1491 = 161*m for m. -64 Solve -184*k = 240*k + 611*k - 46642 + 4207 for k. 41 Solve -171*w + 2775 = -570*w + 12351 for w. 24 Solve 803*j + 4984 = 3788*j + 181099 for j. -59 Solve -77316 = -3843*l + 57189 for l. 35 Solve 18*n = -156*n - 52*n - 114*n + 5780 for n. 17 Solve -5888 = 4567*h - 4751*h for h. 32 Solve -118*h + 16620 = -661*h - 288*h for h. -20 Solve 298*w + 690 - 3963 = 601 for w. 13 Solve 844*b = -896*b + 1641*b + 2376 for b. 24 Solve 2960*s - 46717 - 21535 = 8708 for s. 26 Solve -263*z - 5409 = 351*z + 11169 for z. -27 Solve -5859 = -1064*c + 21551 - 7894 + 11340 for c. 29 Solve -686443 + 689807 = -116*x for x. -29 Solve 133735 = 6734*x + 4391*x + 90481 - 212621 for x. 23 Solve 23*t + 913 = 1606*t + 7305 - 30137 for t. 15 Solve -142*o + 30*o = 482 + 4782 for o. -47 Solve -92806 = 10617*b - 523276 - 132231 for b. 53 Solve 542*d - 24803 = 142*d - 4803 for d. 50 Solve 623*q = 1084*q + 8759 for q. -19 Solve -7006*j + 275024 - 236499 - 570981 = 0 for j. -76 Solve 9410 + 148 = -162*t for t. -59 Solve -33281 = -365*g + 17103 - 744 for g. 136 Solve -345455 = -279*s - 368612 for s. -83 Solve -3728 = -1109*d + 5672 + 54922 for d. 58 Solve 116 = -266*s - 3307 - 4823 for s. -31 Solve 0 = 98*l - 111*l - 144*l + 3140 for l. 20 Solve 6551 + 2257 - 513 = -236*a + 507 for a. -33 Solve -570*q - 7869 = 32031 for q. -70 Solve -3088 = -108*l + 584 for l. 34 Solve 0 = -177*x + 6307 - 7515 - 7996 for x. -52 Solve -2055641*d - 432 = -2055657*d for d. 27 Solve 342*c - 85682 - 103396 = -7763*c + 208067 for c. 49 Solve -141*h - 2621 = -1102 + 7646 for h. -65 Solve -1703*i + 3410*i + 406 = 1680*i - 404 for i. -30 Solve 1893*x - 11197 + 20539 = -2655 - 22077 for x. -18 Solve 2*b = 92*b - 185*b + 475 for b. 5 Solve -5913 - 14667 = -588*d for d. 35 Solve -4619*j + 154832 = 431972 for j. -60 Solve -170293 = -8493*d + 300442 + 149254 for d. 73 Solve -112028 = 1676*j - 21524 for j. -54 Solve 0 = 116*c + 183797 - 188437 for c. 40 Solve 319*x - 113*x + 370*x + 10368 = 0 for x. -18 Solve -591*x - 1777*x = -510*x - 42734 for x. 23 Solve -57*x = -306485 + 306428 for x. 1 Solve 113*m + 32415 = -1360*m - 688*m for m. -15 Solve -928*p + 65011 = 871*p + 1607*p - 91665 for p. 46 Solve 11339*i = 7367*i + 278040 for i. 70 Solve 0 = -95*w + 8860 - 8195 for w. 7 Solve -797*v + 1161*v = -9828 for v. -27 Solve -878*c = 27922 - 7728 for c. -23 Solve -1037 = 550*i - 7005 - 632 for i. 12 Solve -84*w + 311*w - 85*w = 65*w - 3080 for w. -40 Solve 0 = -28*q + 322*q + 10560 + 3552 for q. -48 Solve -979*u + 14640 = -2809*u for u. -8 Solve -147*a + 4035 = 122*a for a. 15 Solve -301*q + 497*q - 8918 - 8918 = 0 for q. 91 Solve -437*s + 4072 = 490*s + 20*s - 21497 for s. 27 Solve -956*y + 15*y = -1745*y - 51456 for y. -64 Solve -8*h = -1004 - 1049 + 1781 for h. 34 Solve 318 - 4991 = -185*g + 5130 + 2592 for g. 67 Solve 69*g + 25*g = -55*g + 13*g - 1904 for g. -14 Solve -582*j + 1095*j + 496 = 11269 for j. 21 Solve -88951*h + 88797*h = 10626 for h. -69 Solve 2609 = 80*v + 65*v + 3663 + 3876 for v. -34 Solve 4336*z + 5561 - 10189 = 207836 for z. 49 Solve 1696*o + 1646*o + 53102 - 266990 = 0 for o. 64 Solve -40*h - 3316 + 77 + 539 = 60*h for h. -27 Solve -398*b = -942*b + 225*b - 30943 for b. -97 Solve -53*k + 892*k = -214*k - 124254 for k. -118 Solve 130*b - 105*b = -41 + 1166 for b. 45 Solve 200*y + 142018 = 147618 for y. 28 Solve -1591*d + 8724 = -23096 for d. 20 Solve -5430*g - 494341 + 83536 = 3699*g for g. -45 Solve -2420*f + 55960 = 20824 - 54404 for f. 37 Solve 17753 = 4907*v + 76637 for v. -12 Solve 5369*j - 198788 - 21341 = 0 for j. 41 Solve -1655*d + 8066*d = -7255*d + 13666 for d. 1 Solve 128900 = 15*s + 128585 for s. 21 Solve -154*b - 209*b - 181*b + 23975 = -1593 for b. 47 Solve -1895*n + 5745 - 1498 = -67763 for n. 38 Solve -301*i - 203*i - 1116 = -566*i for i. 18 Solve -3163*i - 6388 + 15877 = 0 for i. 3 Solve -104*d - 17*d + 4256 = 27*d - 15*d for d. 32 Solve -18*h = 106*h + 21*h - 10*h - 2430 for h. 18 Solve 22672*g + 31992 = 28004*g for g. 6 Solve -1370*l + 7587*l - 329501 = 0 for l. 53 Solve 1355*w + 521*w + 555*w - 207*w + 46704 = 0 for w. -21 Solve -8540 + 76984 = 518*g + 1825*g - 55735 for g. 53 Solve 2253*h = 8857*h + 99060 for h. -15 Solve -2987*z + 5894*z = 3017*z + 9680 for z. -88 Solve -40*x - 260*x = 11*x + 127*x - 28032 for x. 64 Solve 247*s + 12*s = 2749 + 8647 for s. 44 Solve -7256*i = -8943*i - 18277*i - 878416 for i. -44 Solve 446*c + 257*c = 172*c - 172*c for c. 0 Solve 31*h - 498 + 907 = -1048 for h. -47 Solve -1554 - 995 - 1631 = -288*m + 212*m for m. 55 Solve 3100*u + 1932 = -457 - 4787 + 976 for u. -2 Solve 1720*x - 193783 = -844*x + 496*x + 27493 for x. 107 Solve -3808 = 379*t - 710*t + 219*t for t. 34 Solve 656*l - 179*l - 28826 = -256*l - 261*l for l. 29 Solve 8437*d = 266190 + 189408 for d. 54 Solve -666*q = -94*q - 7*q + 14328 + 7142 for q. -38 Solve 172*x + 47808 = 12124*x for x. 4 Solve -243*w - 2522 = 4827 + 16708 for w. -99 Solve -481*k - 128216 = -2488*k - 355007 for k. -113 Solve 1054*z + 23838 = 232*z for z. -29 Solve 0 = -1605*g + 29078 + 31912 for g. 38 Solve -491782*x + 492160*x = 5670 for x. 15 Solve 36517 = 507*f + 8632 for f. 55 Solve -14*q = 53*q - 60*q + 217 for q. -31 Solve 15*i - 167*i - 42*i = -1358 for i. 7 Solve 15010 + 2276 = 943*s - 411 - 3049 for s. 22 Solve 652*d = 1507*d + 663*d + 56166 for d. -37 Solve -315*b + 196*b + 526 = -1393 - 580 for b. 21 Solve -423*z + 11018 + 8565 = -58*z + 1333 for z. 50 Solve 206716 = -5693*h + 1086*h + 17829 for h. -41 Solve -6*i + 2*i = -46*i + 911 + 349 for i. 30 Solve 76*d = 859 + 5677 for d. 86 Solve -1814*w + 1289*w - 69734 = 3100*w + 256516 for w. -90 Solve -1857*t + 14059 = -180926 for t. 105 Solve -23*k - 1326 = -25*k + 53*k for k. -26 Solve 6114 = 29*u + 6839 for u. -25 Solve 2931*r + 122739 = 56*r - 35386 for r. -55 Solve 41822 = -83*w + 1542*w - 71980 for w. 78 Solve -7*l - 476*l = -20286 for l. 42 Solve 1523*a = -533021 + 443164 for a. -59 Solve -300*z = 14185067 - 14192867 for z. 26 Solve 187*s + 3250 = 837*s for s. 5 Solve 25679620 = -12*r + 25680340 for r. 60 Solve -102870 = 4139*s + 2719*s for s. -15 Solve 67089 + 93879 = -2255*r + 100113 - 101505 for r. -72 Solve 695*o - 25216 = 5364 for o. 44 Solve -295461*o + 11280 = -295226*o for o. 48 Solve -342 + 167 = 70*u - 45*u for u. -7 Solve -82*t - 382219 + 381235 = 0 for t. -12 Solve 0 = 266*f - 317*f + 1224 for f. 24 Solve 332*r + 381*r + 5704 = 0 for r. -8 Solve -10654 + 27218 = -404*v for v. -41 Solve 71*z = -20*z - 4818 + 4363 for z. -5 Solve -60*v + 172*v + 29*v + 18144 = -183*v for v. -56 Solve 0 = -36*d - 229765 + 225877 for d. -108 Solve 14896*h + 3046995 = -5649*h - 17636*h + 2334*h for h. -85 Solve 1514*h + 54592 - 281317 = -1509*h for h. 75 Solve 22222*w - 22211*w + 440 = 0 for w. -40 Solve 88*m + 30979 - 27283 = 0 for m. -42 Solve 0 = 23593*w - 23706*w + 4181 for w. 37 Solve -98*y - 9010 = -12636 for y. 37 Solve -2224*b - 133917 = 509*b for b. -49 Solve -262*y - 980*y + 10137 + 37085 = 11204 for y. 29 Solve 97*b + 10614 = 1113*b - 10237 + 531 for b. 20 Solve 316*q + 2957*q - 108009 = 0 for q. 33 Solve 661*i = -4614 + 15629 + 10798 for i. 33 Solve -7709*p = -523*p - 50438 - 35218 - 144296 for p. 32 Solve -2492*j + 974*j - 63756 = 0 for j. -42 Solve 2620*z + 10881 + 18404 - 3985 = 90*z for z. -10 Solve 189*z + 178*z = -19*z - 258*z - 10304 for z. -16 Solve -
{ "pile_set_name": "DM Mathematics" }
actors of (j/5)/(2/(-15)). 3, 5 Let d(u) = 2*u - 3. Let f be d(4). Let m be (-5)/(-10) + 4/(-8). Suppose m = -2*j + f*j - 12. List the prime factors of j. 2 Let h(t) = 2*t - 1. Let l(f) = f**2 - f - 5. Let m be l(4). What are the prime factors of h(m)? 13 Suppose 2*g - 33 = -g. Suppose k = 2*t - 24, -5*k + 9 = -g. What are the prime factors of t? 2, 7 Suppose a - 8 - 8 = 0. List the prime factors of a. 2 Let b(u) = 2*u**2 - 6*u - 3. Let l be b(4). Let z = -4 - -7. Let g = l - z. What are the prime factors of g? 2 Let v(a) = a + 12. Let o be v(-5). Suppose -12 = -p + o. List the prime factors of p. 19 Let a(m) = 46*m**3 - 2*m**2 + 2*m - 1. What are the prime factors of a(1)? 3, 5 Suppose -14*b = -9*b - 1450. What are the prime factors of b? 2, 5, 29 Suppose 2*r + 294 = 2*s, 2*r - 576 = -4*s - 0*r. What are the prime factors of s? 5, 29 Let s be (0 - (3 - 5)) + 2. Suppose 0 = 5*o - 15, 4*m - 65 = -s*o + 11. What are the prime factors of m? 2 Let o = 263 + -91. List the prime factors of o. 2, 43 Let t(d) be the third derivative of d**5/60 - d**4/8 - 2*d**3/3 + 2*d**2. Let z be t(4). Let y = 8 + z. What are the prime factors of y? 2 Let b(v) = v + 11. List the prime factors of b(-5). 2, 3 Let h(s) = 8*s**2 + 0 - s + 4*s**2 + 2*s + 1. What are the prime factors of h(-2)? 47 Let o(v) = -9 - v**3 + 9*v**2 + 7*v + 2*v**3 + 2*v. What are the prime factors of o(-7)? 2, 13 Let l(b) = -1 + 6 - 5 - b. What are the prime factors of l(-3)? 3 Let q(i) = -i**2 + 7*i + 22. Let c be q(9). Let b(t) = 2*t**2 - 9*t + 13. Let g(p) = p**2 - 5*p + 7. Let z(j) = 4*b(j) - 7*g(j). List the prime factors of z(c). 3, 5 Let t be (-1)/(-4) - 2/8. Let c(g) = 4*g + t*g - g - 4. What are the prime factors of c(6)? 2, 7 Let r(a) be the first derivative of -1/2*a**2 - a - 2 + 2/3*a**3. What are the prime factors of r(-2)? 3 Let c(j) = -14*j**3 + 1. Let s be c(1). Let y = 55 - 37. Let o = s + y. List the prime factors of o. 5 Let t(f) = f - 5. Let y be t(5). Suppose -6*k + k + 5*m + 125 = y, 2*m + 70 = 3*k. What are the prime factors of k? 2, 5 Let m be 72/7 - (-6)/(-21). Let o = m - 7. Suppose g - o = l, -g + 2 = -3*l + 3. What are the prime factors of l? 2 Let c be 2 - (2 + -2) - -3. Suppose -c = -2*t + 9. Suppose 2*v - t*v + 50 = 0. What are the prime factors of v? 2, 5 Suppose 60 = -f - 3*f. Let l = 24 + f. What are the prime factors of l? 3 Let t = -12 + -5. Let l be (50/(-8))/((-3)/12). Let v = l + t. What are the prime factors of v? 2 Let q be ((2/1)/(-1))/(-2). Let u be 0 - (q - 0)*-14. Let b = 26 - u. List the prime factors of b. 2, 3 Let d(h) be the second derivative of 5*h**4/12 + h**3/6 + 3*h**2/2 - 9*h. List the prime factors of d(3). 3, 17 Let p be (2 - 10/(-8))*8. Suppose 5*k = -2*a - p + 85, k = 5*a + 28. List the prime factors of k. 13 Let p = -3 + 6. Let r be -1 - p/(-3)*1. Suppose 0 = -5*z - r*z + 55. What are the prime factors of z? 11 Suppose -4*z - 471 = -9*z - 3*i, -4*i = -8. List the prime factors of z. 3, 31 Let f(o) be the second derivative of o**4/12 + o**3/6 - o. List the prime factors of f(-4). 2, 3 Let g = 2 + 2. Suppose -b + g = -0*b. Suppose -6*f + b*f + 22 = 0. List the prime factors of f. 11 Suppose 3*t - 3*z - 498 = 717, t + 4*z - 405 = 0. List the prime factors of t. 3, 5 Suppose 2*a = 5*y - a - 39, -y = -3*a - 3. Let b = -1 + y. What are the prime factors of b? 2 Suppose -3*c - 4 - 11 = -3*p, -61 = 5*c + 4*p. Let k = -13 - -53. List the prime factors of k/18 - (-2)/c. 2 Suppose 2*p - 13 = -3*s, 0 = 4*s - 2*p + 4 + 2. Let r be s + -1 + (7 - 11). List the prime factors of (-29)/r + 21/28. 2 List the prime factors of 2 + 2/2 + 15. 2, 3 Let d = 31 + -20. Let r = 23 - d. Suppose r + 48 = 5*j. What are the prime factors of j? 2, 3 Let m = -6 + 6. Suppose -3*y = -m + 6. List the prime factors of (y - -4) + (9 - -1). 2, 3 Suppose 22*u - 3300 = 7*u. What are the prime factors of u? 2, 5, 11 Let c(s) = -65*s**3 + 2*s**2 + 2*s + 1. List the prime factors of c(-1). 2, 3, 11 What are the prime factors of (-16)/(-96) + (-694)/(-12)? 2, 29 Let m(k) = -3*k + 1. Let j(q) = 2*q. Let f(t) = 2*j(t) + 2*m(t). What are the prime factors of f(-3)? 2 Let y(l) = -l**3 + 0 + 3*l + 4*l**2 - 6*l + 0. Let s be y(2). Suppose 6 = g + s*g. List the prime factors of g. 2 Suppose q = -3*q + 12. Let o(g) = -g + 0*g**3 + g**q + 0*g + 19 + 0*g. List the prime factors of o(0). 19 What are the prime factors of (99 - (4 + -1)) + 1 + 1? 2, 7 Let x(u) = -5 + u**2 + 0 + 2. List the prime factors of x(-4). 13 Suppose -2*n - 10 + 3 = 3*y, 6 = -4*y - 2*n. Let i be (-1)/((1/(-3))/y). Suppose -i*o = -o - 28. What are the prime factors of o? 2, 7 Let n = -707 - -1042. List the prime factors of n. 5, 67 Suppose 0 = -7*a + 4*a + 609. What are the prime factors of a? 7, 29 Suppose -4*l + 6 - 2 = 0. Let v(h) = 24*h. What are the prime factors of v(l)? 2, 3 Let r = 7 - 15. Let o = -1 - -12. Let g = r + o. What are the prime factors of g? 3 Let i = -87 - -133. Suppose i = 4*v + 5*z - 7, -27 = -2*v - 3*z. What are the prime factors of v? 2, 3 Suppose -5*f + 2*d + 685 = 0, 0 = f - 2*f + 4*d + 155. What are the prime factors of f? 3, 5 Suppose -14*u - 320 = -19*u. List the prime factors of u. 2 Let f = -4 + 4. Let o be f/(-5) + -1 + 1. Suppose o = 2*x - 9 - 9. List the prime factors of x. 3 Let s be 9/1*4/6. List the prime factors of s/(-4)*(-24)/6. 2, 3 Let j be ((-1)/2*0)/2. Let d = -38 + 33. Let l = j - d. List the prime factors of l. 5 Suppose 6*t - 4*t - 8 = 0. Suppose -4*u + 56 = 4*p + 8, -u = -t*p + 33. What are the prime factors of p? 3 Let z(q) = 11*q - 2. Let a(h) = -7*h + 1. Let g(t) = -8*a(t) - 5*z(t). Let b(j) = -j**2 + 9*j + 2. Let p be b(8). What are the prime factors of g(p)? 2, 3 Suppose -4*t + 2 = -82. List the prime factors of (36/t - 0)*7. 2, 3 Suppose -25 = -4*j - 3*r, 3*j = -4*r - 1 + 11. What are the prime factors of j? 2, 5 What are the prime factors of 34/(-4)*(-12 + 10)? 17 Suppose 5*s - 13*s + 176 = 0. List the prime factors of s. 2, 11 Let m be (-2 - -1)*2 + 9. Let y = m + 0. List the prime factors of y. 7 Let h = -60 - -104. Let k = 3 + 0. Suppose 0 = 5*f - k*l - h, 4*f + f + 5*l = 20. List the prime factors of f. 7 Let g(f) = f**3 - 5*f**2 + f - 4. Let k be g(5). What are the prime factors of ((-24)/(-20))/(k/5)? 2, 3 Suppose -3*s - 1 = -79. What are the prime factors of s? 2, 13 Let p = 11 - 0. Suppose -5*h = -h. Suppose d + h*d = p. What are the prime factors of d? 11 Let c be 4/(-14) + (-80)/(-35). Suppose 4*i - 2*i = -c. List the prime factors of (-1)/((2/8)/i). 2 Let k(a) = -a**3 + 6*a**2 + a - 2. Let b be k(6). Suppose 54 = 3*p - b*g, 2*p - 2*g - 20 = 18. List the prime factors of p. 2, 11 Let g(q) = 70*q + 2. Let b be g(1). Suppose 5*x - 2*x = b. List the prime factors of x. 2, 3 Let s = 24 - 11. Let q = s - 5. What are the prime factors of q? 2 Let b be 1 - (12/3)/(-2). Suppose b*w = -w + 48. Suppose 4*p - w = -2*g, -3*p + 7 = 1. List the prime factors of g. 2 Let x = -29 + 14. Let b = x + 25. What are the prime factors of b? 2, 5 Suppose b = 6*b - 50. Suppose -b = 3*k - 4. Let a = 7 + k. What are the prime factors of a? 5 Suppose -4 = -s - 0. List the prime factors of s. 2 Let t(d) = 14*d**3 - 1. List the prime factors of t(1). 13 Suppose -2*v - 3*v + 4*k + 55 = 0, -2*k = 10. Let i = v - 5. What are the prime factors of i? 2 Let f(n) be the first derivative of -n**4/4 + 5*n**3/3 + n**2 - 7*n - 2. What are the prime factors of f(5)? 3 Let c be (-18)/(-4)*-2 + 0. Let v = 17 + c. List the prime factors of v. 2 Let j(d) be the first derivative of d**4/12 - d**3/2 - d**2/2 - 1. Let c(k) be the second derivative of j(k). List the prime factors of c(4). 5 Let p be 4/(-18) - (-148)/18. Suppose -3*s + 4*s + a + p = 0, 5*s = -3*a - 38. What are the prime factors of 4/(-14) + (-30)/s? 2 Suppose -5*w + 10*w = 3*d + 624, 4*w + 3*d = 510. List the prime factors of w. 2, 3, 7 Let z(s) be the second derivative of s**5/20 + 5*s**4/12 - s**3/3 - 5*s**2/2 + s. Let v be 3/54*-3 + 58/(-12). List the prime factors of z(v). 5 Suppose 5*d - 25 = -4*l, 4*l + d - 5 = 2*l. Suppose l = -m - 4*m + 120. What are the prime factors of m? 2, 3 Let r = 17 + -9. Let n(s) = s**3 + r*s**2 - 3 + s**2 + 12 + 7*s. What are the prime factors of n(-8)? 17 Let r(w) = -6*w + 2*w + 3*w. Suppose -3*z -
{ "pile_set_name": "DM Mathematics" }
ond derivative of o(i). Let r be g(0). Are -2/229 and r unequal? True Let o(g) = g**2 - 39*g + 83. Let k be o(20). Are -291 and k unequal? True Let t be 6*3/(-21)*(-35)/10. Suppose -i = -3*f + 105, -5*f + t*i + 179 = -0*f. Suppose 0 = j - 2*l - f - 3, -2*j = -5*l - 77. Which is smaller: 32 or j? j Let m = -127/9 + 943/63. Is m at least -144? True Let x = -18/707 + 6299/53025. Suppose -m = 4*t + 128 - 132, 5*m = -3*t + 20. Which is smaller: t or x? t Let g be (-48)/(-1) + 3/((-6)/(-16)). Is g less than 65? True Let r(w) = -3*w**2 + 18*w + 5. Let h be r(6). Suppose -4*j - 181 = -5*m, -h*j - 3*m - 77 - 103 = 0. Let t be (-130)/40*(-1 + 13). Is t less than j? False Let l(w) = -w**2 + 8*w + 1. Let y be l(9). Let j = 10626 - 13069981/1230. Let m = j - 2017/246. Which is smaller: y or m? m Let v(o) = -o**3 - 17*o**2 - 30*o + 7. Let x be v(-15). Suppose -j - b - 2 = -x, 5 = -3*j + b. Which is smaller: j or -2/855? -2/855 Let t be 3/12 - (-9)/12. Let f be (-2 - t) + 0 + 39. Let x = f + -39. Is x less than -3? False Let d(g) = 2*g**2 - 39*g - 668. Let r be d(45). Which is smaller: 1629 or r? r Suppose 26199 = -30*i + 9309. Let j = -567 - i. Is 11 smaller than j? False Let a be (-3711)/1239 + (-3)/(-1). Let c be (-39)/78 - 15/(-20)*(-2)/3. Is a <= c? False Let b = -26610 - -26610. Is -3/22295 <= b? True Let z = 2289 + -2327. Suppose 3*r + 4*h = 3*h - 119, 0 = -r - 2*h - 48. Is r > z? False Let m = 2282 - 3336. Let s = -3065/3 - m. Is 32 equal to s? False Suppose 580*m - 576*m + 14398 = -5*j, -3*j + 5*m = 8587. Is j at most as big as -2871? True Let t be (71/(9585/30))/((-10)/18). Which is greater: t or -69/20? t Suppose -4*t + 3*d + 16 = 0, 4*d + 10 + 2 = -4*t. Let g be (t - -12)/(4*(-3)/(-12)). Suppose -g*z - 852 = -7*z. Do -142 and z have different values? False Suppose 0 = -4*r - 2*b + 102, -r - 19 = 2*b - 49. Let j be ((-12)/(-16))/(3/r - 0). Which is smaller: 23/4 or j? 23/4 Let y = 0.159 + 220.841. Let j = -224.3 + y. Which is greater: -3 or j? -3 Let g = -3239/6 + 508505/942. Let k = -6 - -6. Which is bigger: k or g? k Let o = 418 + -393.4. Let z = 24.8 - -5.2. Let m = o - z. Which is smaller: -1 or m? m Let a = 3.24 + -3.44. Let d = -11.2 - -15. Let b = d - a. Which is smaller: 5 or b? b Let q be 76/266 + (-5273)/18382. Which is smaller: q or 0? q Let s be (-85174)/111 - (-2)/(-3). Let t be 7/(-1) - 5368/s. Suppose -4*i = -3 - 1. Do t and i have the same value? False Suppose -683*s + 2*j = -687*s - 24, 0 = -4*s - 4*j - 36. Which is greater: s or -255/104? -255/104 Let d be (-1 - -5) + (2 - 1). Suppose 0 - 70 = -3*z + b, 2*z - d*b = 38. Suppose 2*h = -3*i + 2 - 0, -2*i = -5*h + z. Is -3/2 > i? True Let v be -15 - (16 + -1)/(-3). Let x be ((-20)/425)/(2/v). Let w = 26 + -27. Is w greater than or equal to x? False Let x be (15/20)/((-1)/(-4)). Let o = 18 + -6. Let a be (-6)/o - 59/(-22). Is x > a? True Let v(l) = -347*l - 3122. Let x be v(-9). Which is greater: x or -33/454? x Let a(o) = -9*o + 450. Let z be a(50). Which is smaller: z or -1/16907? -1/16907 Suppose -7*o + 4*o = -4*b - 656, 1116 = 5*o - b. Let n be (-10)/2 - 16/(o/833). Which is greater: 1 or n? 1 Suppose -2*g - 6 - 4 = 0. Let z(s) = 2*s**3 - s**2 + s + 4. Let o be z(-2). Let j = o + 18. Which is smaller: g or j? g Suppose 472 = -4*i + 13*l - 11*l, -484 = 4*i + l. Is -81 bigger than i? True Let u = -21.4 + 152.4. Let x = -128 + u. Is x less than -42? False Let v = -2814943/323 - -8715. Suppose -111*u - 2*k = -114*u + 17, k + 5 = -2*u. Which is smaller: u or v? v Suppose -7*h + 4944 - 1136 = 0. Suppose -h = -32*w - 0*w. Is w < 10? False Let l = -1449 + 1758.2. Let r = l - 309. Let m = -129/35 - -17/5. Is m greater than r? False Let k be 2*12/(-40) - (-4604)/(-110). Is -42 >= k? True Suppose 11*x = 12*x - 31. Let q = -44 + x. Let r = 12 - 23. Which is bigger: q or r? r Let h(b) = -b**2 - 14*b - 44. Let z be h(-9). Suppose 2*u = u + z. Is u not equal to 2.3? True Let s(y) = -196*y**2 + 304*y - 922. Let t be s(3). Is t bigger than -1773? False Let h = -85 + 83. Let f(z) = 3*z**2 - 23*z - 6. Let c be f(12). Let i be c/(-36) - 9/(-3). Which is smaller: i or h? h Suppose 4*j - 3*z - 170 = -208, -28 = 4*j - 2*z. Let u be ((-4)/(-1))/(1/(-12)). Is j less than or equal to u? False Let a = -2348 + 2399. Let q be 65/(-20) + -2 + 5. Which is smaller: q or a? q Let t(w) be the third derivative of -w**5/60 + w**4/2 - 7*w**3/2 + 52*w**2. Let u be t(2). Is u < -6/25? True Let m be 4/(-18) - -8*(-2645)/(-45). Which is greater: 477 or m? 477 Suppose -3*r = 3*t - 6, -5*t + 2 = -3*r + 8. Let z be 2 - (34998/7000 - r - 1). Let i = -30623/7000 - z. Which is greater: -4 or i? -4 Suppose 225*m - 221*m + 3*v + 517 = 0, 379 = -3*m - 4*v. Are -124 and m equal? False Let q = 252 - 251. Let k be 456/(-936) - (-2 + q). Do 0 and k have the same value? False Let c(r) = r**2 + 26 - 20*r + 5 + 33 - 9. Let w be c(10). Is -43 > w? True Suppose 0*n = -4*n - 52. Let r(w) be the third derivative of -w**4/12 - 16*w**3/3 - 5*w**2 - 11*w. Let i be r(n). Which is greater: i or -4? -4 Let d = 0.0051 - -0.0189. Which is bigger: d or -1/8? d Suppose k = 6*k - 2*b - 16477, -3*k + 9883 = 2*b. Let w = k - 382225/116. Which is smaller: 0.1 or w? w Suppose -g + 5 = m, -27*m + 25*m + 3*g = 5. Which is greater: 95/61 or m? m Let k = -0.1872 - -0.1432. Which is smaller: -41 or k? -41 Let q = 10.95 + -10.95. Let i = 195 + -93. Is q greater than or equal to i? False Suppose -2*p + c + 765 = 134, p + 5*c = 343. Suppose 449*g - 287040 = -248*g - 200*g. Are p and g nonequal? True Suppose -44*s + 5341 = -9*s + 14*s. Is s at most 112? True Let d be (-1)/4 - 27/24*-66. Let x = 89 - d. Let y = x + -49. Which is greater: y or -31? -31 Let c = 293521/214389519 - 16/12193. Which is bigger: 1 or c? 1 Suppose 17 = x - 3*u, -2*x - u + 2*u + 9 = 0. Let y = -587 + 593. Suppose -3*o = x*r - 4*o + 1, 5*o = -r - y. Is r equal to -2/17? False Let v = 79 + -75. Let y = -131 + 129. Is y at most as big as v? True Let z = -50 + 88. Let q(c) = -11*c + 3*c - 19*c - 158 - 3*c - 2*c. Let k be q(-5). Which is bigger: k or z? z Let l(t) = 10*t - 6. Let u be l(3). Let a = u + -33. Let y be (0 - (-1)/(-2))*(-2)/a. Which is smaller: y or 0? y Let t be (-23 - (-1342)/66)*102*1. Which is bigger: -268 or t? -268 Let k = -5064 - -5064. Is 2/19827 at most k? False Let u be ((-1)/4)/(-27 + (-12610)/(-416)). Suppose -2*q - 3*o = 14, 3*q + 2*q - 4*o = 11. Is u not equal to q? True Suppose 5149 = -7*f + v, -4*f + 4*v - 7*v - 2928 = 0. Which is smaller: -728 or f? f Suppose k = -4*y + 16, -7*k - 12 = -2*k - 3*y. Suppose k = 19*a - 26*a + 609. Is 0 less than or equal to a? True Let t = 6704/3 + -2252. Which is greater: -1/9 or t? -1/9 Suppose -3*j = 4*i + 26690, 5*i + 12956 + 20423 = -j. Which is smaller: -6676 or i? i Let y = 65.94 - -0.06. Let i = 27 - y. Is i equal to 1/2? False Let z(j) = -37*j - 333. Let w be z(-9). Which is smaller: w or -1/11066? -1/11066 Let o be 10/25 - (-193)/5. Let v be o*((-4)/(-6) - 1). Let n = -11 - v. Is 0 bigger than n? False Let r = 24284 + -25558. Is r less than or equal to -1279? False Let i = -142/11 - -26. Let v be (-98)/(-28)*(1 - (-327)/21). Suppose 5*j - v = -4*t, 4*t = -t - 15. Are j and i equal? False Let m(a) = 6*a**2 + 513*a + 244. Let v be m(-85). Suppose -2*q + 7 + 7 = 0. Let z = -5 - q. Which is smaller: v or z? z Suppose -4*f + 3*y = -0*f + 20, 2 = 5*f + 3*y. Let l be 84/16 + f - (-6)/8. Which is smaller: l or 12? l Let c be (-41545)/20 + (34/(-72) - (-40)/180). Which is greater: -2078 or c? c Suppose 52*a - 284 = -19*a. Let x(j) = -j**3 - 4*j**2 + 6*j + 3. Let k be x(-5). Let v be k/a*4/46. Which is smaller: 0 or v? v Suppose 0*d - 109*d = 0. Is d smaller than -49/81? False Suppose 0 = k - 16 + 14. Suppose o - 45 = -3*w, 3*o - 149 = -k*w + 7*w. Let q = o - 38. Is q >= 14? False Let t = 1339 + -1479. Let g be (-1)/2*-6*-47. Which is smaller: t or g? g Let k = 4681.06 + -4681. Which is greater: k or -273? k Suppose 14 = 2*u + 4*r, 2*u + 22 = 5*r + 9. Is u at least as big as 14/33? True Let s = -105704/129 - 23/258. Do -819 and s have the same value? False Let y be (-1)/(2/((-4 - -2) + 0)). Suppose -9 = -2*n + y. Suppose -6*g = n*g - 121. Which is greater: 12 or g? 12 Let v = 41090/9 - 15226/3. Let z = 510 + v. Which is bigger: 0.0
{ "pile_set_name": "DM Mathematics" }
- 1/24*x**6 + 0 + 0*x**3. Factor a(p). p*(p - 2)**2*(p - 1) Let h(d) be the first derivative of 0*d - 5/16*d**2 - 156 + 1/6*d**3 + 1/32*d**4. Factor h(a). a*(a - 1)*(a + 5)/8 Let f(o) be the second derivative of -o**5/80 + 65*o**4/16 - 63*o**3 + 374*o**2 + 2*o + 11155. Factor f(m). -(m - 187)*(m - 4)**2/4 Let x(m) be the third derivative of m**8/16 - 17*m**7/350 - 61*m**6/200 + m**5/4 + 13*m**4/20 - 4*m**3/5 + 733*m**2 - 2. Solve x(j) = 0 for j. -1, -4/5, 2/7, 1 Let u be (-34)/374 + 910/572. Factor -1/2*b**3 - 3/2*b**2 + u + 1/2*b. -(b - 1)*(b + 1)*(b + 3)/2 Let r be (2*((-1183)/112 + 10))/((-5)/10). Let m be 1*((3 - 1) + -2). Factor -3/4*d**2 + m - r*d. -3*d*(d + 3)/4 Let x(p) be the second derivative of -p**6/45 + p**5/15 + 55*p**4/18 + 88*p**3/9 - 48*p**2 - 4426*p. Suppose x(c) = 0. Calculate c. -4, 1, 9 Let y(j) be the first derivative of -2*j**3/33 - 270*j**2/11 - 36450*j/11 - 2698. Suppose y(s) = 0. What is s? -135 Suppose -15/4*s**4 + 81/4*s**2 - 9/2*s**5 + 3/2 + 39/4*s + 51/4*s**3 = 0. Calculate s. -1, -1/2, -1/3, 2 Let z(l) = l**2 + 4*l - 5. Let r be (-5)/(-2)*(4 - (3 + 3)). Let y be z(r). Let -t**2 - 5*t + 2*t + y*t + 2*t = 0. Calculate t. -1, 0 Let y(z) be the second derivative of z**9/30240 - 11*z**8/53760 + z**7/3360 + 131*z**4/12 + 96*z + 2. Let m(u) be the third derivative of y(u). Factor m(g). g**2*(g - 2)*(4*g - 3)/8 Let y be (36/(-15) - -3) + (-132)/(-55). Suppose -4*r = 0, -m - r + y = -0*m. Factor -2/5*j + 4/5*j**m + 7/5*j**2 + 0. j*(j + 2)*(4*j - 1)/5 Suppose 120*m - 63 = 99*m. Suppose 4*a - 62 = 2*q - 50, -m*a = -3*q - 6. Solve -2/7*r + 4/7 - 4/7*r**q + 2/7*r**3 = 0 for r. -1, 1, 2 Let h be 3 - 3*(-10)/10. Let s(f) be the third derivative of -1/120*f**h + 0*f + 21*f**2 + 0 - 1/30*f**5 + 0*f**3 + 0*f**4. Factor s(g). -g**2*(g + 2) Suppose 288*v = -120*v - 295*v. Suppose 2/13*w**5 + 70/13*w**3 + 0*w + 22/13*w**4 + v + 50/13*w**2 = 0. What is w? -5, -1, 0 Suppose 18*r = -2*r + 620. Let b be 74/8 - (r - 25). Find k such that 3/4*k**2 + b*k - 5/2 = 0. -5, 2/3 Let s(z) be the first derivative of z**6/3 - 12*z**5/5 - 3*z**4/2 + 40*z**3/3 - 12*z**2 - 4874. Factor s(b). 2*b*(b - 6)*(b - 1)**2*(b + 2) Let t(n) be the second derivative of -n**7/273 - 2*n**6/195 + n**5/130 + n**4/39 + 125*n. Suppose t(g) = 0. Calculate g. -2, -1, 0, 1 Let k(i) be the first derivative of i**7/560 - i**6/120 + i**5/80 + 2*i**3 + 3*i**2/2 + 53. Let n(m) be the third derivative of k(m). Solve n(a) = 0. 0, 1 Let f(i) = 23*i**2 + 10*i - 207. Let m(g) = 155*g**2 + 70*g - 1460. Let t(q) = -20*f(q) + 3*m(q). Factor t(c). 5*(c - 6)*(c + 8) Let o(k) be the second derivative of k**6/360 - k**5/40 + k**4/12 + 2*k**3/3 - k**2 + 68*k. Let y(n) be the second derivative of o(n). Factor y(r). (r - 2)*(r - 1) Let w(z) be the first derivative of 1/6*z**3 + 305 + 13*z - 15/4*z**2. Factor w(t). (t - 13)*(t - 2)/2 Factor 6716/17*o**3 - 6050/17 - 18812/17*o**2 + 18370/17*o - 226/17*o**4 + 2/17*o**5. 2*(o - 55)**2*(o - 1)**3/17 Solve -10033*b**4 - 72 + 72 - 604*b**3 + 9929*b**4 + 4*b**5 - 496*b**2 = 0. -4, -1, 0, 31 Let v be -16 - (-46 - 6696/(-234)). Factor v*j - 2/13*j**3 + 10/13 + 6/13*j**2. -2*(j - 5)*(j + 1)**2/13 Let d(s) be the first derivative of -9/8*s**4 - 38 + 0*s**5 + 0*s + 0*s**2 + 1/120*s**6 - s**3. Let n(o) be the third derivative of d(o). Factor n(m). 3*(m - 3)*(m + 3) Let p(q) = 16*q**2 + 929*q - 4490. Let g(f) = 4*f**2 + 232*f - 1112. Let y(s) = 15*g(s) - 4*p(s). Factor y(m). -4*(m - 5)*(m + 64) Let j(p) = 105*p**4 - 9216*p**3 + 18414*p**2 - 9204*p + 33. Let x(z) = 16*z**4 - 1418*z**3 + 2833*z**2 - 1416*z + 5. Let u(i) = 5*j(i) - 33*x(i). Factor u(k). -3*k*(k - 236)*(k - 1)**2 Factor -30*l**2 - 44*l - 133 + 5 - 245*l - 119*l - 142*l**2. -4*(l + 2)*(43*l + 16) Let v = -1/83241 - -110989/83241. Factor -v*s**3 + 8/3 + 2/3*s**4 - 2*s**2 + 8/3*s. 2*(s - 2)**2*(s + 1)**2/3 Let t(r) be the third derivative of -r**8/84 + 38*r**7/105 + 2*r**6/3 - 72*r**2. Suppose t(b) = 0. Calculate b. -1, 0, 20 Let i = -36 + 35. Let z be (-8 + i)*((-32)/(-12))/(-8). Factor 1/3*l**z + 0 - 1/6*l**2 - 1/6*l**4 + 0*l. -l**2*(l - 1)**2/6 Let n(p) = -5*p**4 - 33*p**3 + 90*p**2 + 2*p + 2. Let s(g) = -5*g**4 - 32*g**3 + 90*g**2 + 3*g + 3. Let o(c) = 3*n(c) - 2*s(c). Factor o(r). -5*r**2*(r - 2)*(r + 9) Solve 13*b**5 + 198*b**2 - 24*b**5 - 88*b**4 - 208*b**2 + 15*b**5 + 404*b**3 - 310*b**2 = 0. 0, 1, 5, 16 Let i be (-24)/48 + 503/30 + 1. Let b = -3307/195 + i. Solve -6/13*q + b + 2/13*q**2 = 0. 1, 2 Let d(p) be the third derivative of 0*p**4 + 0*p - 2/105*p**7 - 2/15*p**5 + 1/168*p**8 + 10 + 0*p**3 - 7/60*p**6 - 4*p**2. Let d(g) = 0. Calculate g. -1, 0, 4 Suppose 7*p - 11*p + 84 = 0. Let r be (-2)/3 + 22757/p. Suppose 11 - 2 - 155*n + r*n**2 - 73*n + 3 = 0. Calculate n. 2/19 Let m(h) = h**3 - 4*h**2 + 2. Let i = 460 + -456. Let s be m(i). Factor 4/5*k - 6/5 + 2/5*k**s. 2*(k - 1)*(k + 3)/5 Let n(w) = -629*w + 3145. Let m be n(5). Let y(t) be the third derivative of m*t - 1/240*t**5 + 0 + 0*t**3 + 2*t**2 + 1/48*t**4. Factor y(c). -c*(c - 2)/4 Let y = 480777 + -3365435/7. Let y - 2/7*x**2 + 2/7*x = 0. What is x? -1, 2 Let w(z) = -2507*z + 52647. Let x be w(21). Factor 0 + 12*g**3 + x*g - 3/2*g**5 - 3/2*g**4 + 18*g**2. -3*g**2*(g - 3)*(g + 2)**2/2 Factor -1224/5 - 2/5*f**2 - 1226/5*f. -2*(f + 1)*(f + 612)/5 Suppose p = -3*p - v + 73, p - 4*v - 14 = 0. Suppose 2 + p = 5*d. Find b, given that -2*b + 139*b**3 - 287*b**3 + d*b**2 - 4*b**4 + 2*b**5 + 148*b**3 = 0. -1, 0, 1 Factor -1008*y**2 - 283*y**3 + 17*y - 2706*y + 203*y**3 - 353*y - y**4 - 669*y**2. -y*(y + 2)*(y + 39)**2 Suppose -s = 5*p - 321, 0 = -p + 5*p - 5*s - 251. Let y be (p - 64) + 2/11. Find c, given that -6/11*c**2 - 2/11*c**3 + y*c**4 + 4/11 + 2/11*c = 0. -1, 1, 2 Let p(s) be the first derivative of -s**5 - 15*s**4/2 + 205*s**3/3 + 15*s**2 - 200*s + 1961. Suppose p(y) = 0. Calculate y. -10, -1, 1, 4 Let a be 4063/478*12/68. Factor 1/2*t**3 - a*t + t**2 + 0. t*(t - 1)*(t + 3)/2 Let u be (-204)/952*(-175)/15. Factor u*v**2 + 1/6*v**3 + 8*v - 32/3. (v - 1)*(v + 8)**2/6 Solve -534/7*i - 2/7*i**3 - 14*i**2 - 774/7 = 0 for i. -43, -3 Determine p so that 11471*p**2 + 10626*p**2 + 16*p - 22803*p**2 = 0. 0, 8/353 Let t(f) = f**3 + 7*f**2 - 1. Let q(v) = 5*v**3 - 190*v**2 + 120*v - 7. Let b(p) = 5*q(p) - 35*t(p). Factor b(u). -5*u*(u + 120)*(2*u - 1) Let u(y) be the second derivative of -y**5/5 + 23*y**4/4 - 257*y**3/6 + 30*y**2 + 2*y - 569. Factor u(p). -(p - 12)*(p - 5)*(4*p - 1) Let -93/7*z**2 + 183/7*z - 90/7 - 3/7*z**3 + 3/7*z**4 = 0. Calculate z. -6, 1, 5 Let a(b) be the second derivative of -293*b**4/12 - 97*b**3/2 + b**2 - 12*b + 1. Find h such that a(h) = 0. -1, 2/293 Let w = -64523 - -322651/5. Factor 0 + 3/5*z**2 + w*z. 3*z*(z + 12)/5 Let h be (-4)/1*(4/5 + (-155)/100). Factor 24/13*a**h + 0 + 20/13*a**2 + 2/13*a**5 + 6/13*a + 12/13*a**4. 2*a*(a + 1)**3*(a + 3)/13 Suppose -5*l + 17 - 7 = -4*r, -2*l + r = -4. Factor 56*u**2 - 105*u**l + 53*u**2 - 4*u**3. -4*u**2*(u - 1) Let s(z) be the second derivative of 1/480*z**6 + 0*z**2 + 1/20*z**5 + 1/2*z**4 - 12*z + 11/3*z**3 + 0. Let h(m) be the second derivative of s(m). Factor h(n). 3*(n + 4)**2/4 Suppose -5*z + 3*z + 26 = 4*x, 0 = 3*z - 5*x + 16. Factor 126*j**2 + 256 - 186*j**2 + 192*j + 9*j**z - 5*j**3. 4*(j - 8)**2*(j + 1) Let b = 6202 + -6200. Let h(c) be the first derivative of 2/13*c - 8 + 2/13*c**b + 2/39*c**3. Find n, given that h(n) = 0. -1 Suppose 3*p - 76*q + 79*q - 213 = 0, -142 = -2*p + 4*q. Suppose -3*r - p + 77 = 0. Factor -5*v**r + 0*v - 5/2*v**3 + 0. -5*v**2*(v + 2)/2 Let i be (19/(-2660)*-50)/(5*(-4)/(-140)). Let i*c**4 - 80*c + 105/2 + 5*c**2 + 20*c**3 = 0. What is c? -7, -3, 1 Let q be 2*135195/(-63) + (-2)/21. Let o = -81520/19 - q. Determine y so that 2/19*y**3 + 98/19*y - o*y**2 + 0 = 0. 0, 7 Let f(t) = -172*t**2 - 52972*t + 1232. Let x be f(-308). Determine i, given that x - 9/10*i**4 + 0*i**2 + 1/5*i**3 + 0*i = 0. 0, 2/9 Let o(l) be the third derivative of -l**5/60 + 171*l**4/4 - 1025*l**3/6 - 3*l**2 + 1392. Factor o(f). -(f - 1025)*(f - 1) Let k(x) be the second derivative of -x**5/16 - x**4/12 + 9*x**3/8 - 9*x**2/4 + 632*x. Factor k(m). -(m - 1)*(m + 3)*(5*m - 6)/4 Let l(u) be the second derivative of -u**6/285 - 23*u**5/95 + 50*u**4/19 - 616*u**3/57 + 416
{ "pile_set_name": "DM Mathematics" }
rime? True Is 85679 composite? True Is 56159 a composite number? True Is 43097 a composite number? True Is 37117 prime? True Is 191779 composite? True Is 11249 a prime number? False Is 2287 a composite number? False Is 443035 a composite number? True Is 125143 composite? True Is 3841197 prime? False Is 993367 a prime number? True Is 56755 prime? False Is 1313797 composite? False Is 152759 a composite number? True Is 395099 composite? True Is 7971 a prime number? False Is 19835 prime? False Is 394177 a composite number? True Is 84243 composite? True Is 76249 composite? False Is 31133 composite? True Is 16547 a composite number? False Is 131101 prime? True Is 980827 composite? False Is 159563 prime? True Is 1246181 prime? True Is 1780001 prime? True Is 1656187 a prime number? False Is 55511 composite? False Is 29077 a prime number? True Is 5623 composite? False Is 14219 a composite number? True Is 96961 a prime number? False Is 66499 a prime number? True Is 35795 a composite number? True Is 205619 prime? True Is 1539011 a prime number? True Is 16057 composite? False Is 1133629 prime? False Is 102251 a prime number? True Is 996979 composite? False Is 34667 prime? True Is 27533 a composite number? True Is 12667 a composite number? True Is 48562 a prime number? False Is 25031 composite? False Is 272093 a composite number? False Is 31469 a composite number? False Is 78703 a prime number? False Is 12323 prime? True Is 25609 a composite number? False Is 44053 composite? False Is 78017 prime? True Is 2819 composite? False Is 178073 a composite number? True Is 40771 prime? True Is 9197 a prime number? False Is 561263 a composite number? True Is 212469 a prime number? False Is 27718 prime? False Is 60519 composite? True Is 2614863 composite? True Is 7621 a composite number? False Is 29411 prime? True Is 6613 prime? False Is 13841 a composite number? False Is 3453 a prime number? False Is 12841 a prime number? True Is 292571 a prime number? False Is 16811 prime? True Is 130957 a composite number? False Is 3664799 composite? False Is 627709 a prime number? True Is 21781 prime? False Is 23915 a prime number? False Is 17291 composite? False Is 64793 prime? True Is 262853 a prime number? True Is 50989 a prime number? True Is 14237 a composite number? True Is 1328861 prime? True Is 66739 prime? True Is 29083 composite? True Is 10211 a prime number? True Is 158227 a prime number? True Is 818215 prime? False Is 75079 a composite number? False Is 6085 a prime number? False Is 332393 prime? True Is 3874315 composite? True Is 11887 prime? True Is 25079 a composite number? True Is 402689 a composite number? True Is 1389961 a composite number? False Is 4031 a composite number? True Is 22639 composite? False Is 62113 a composite number? True Is 71693 prime? True Is 1757 a prime number? False Is 45161 prime? True Is 13105 composite? True Is 7901 a prime number? True Is 309017 composite? True Is 40253 prime? True Is 3389 a prime number? True Is 1259 a composite number? False Is 1031542 a composite number? True Is 9731 prime? False Is 30026 prime? False Is 165587 a composite number? False Is 330899 prime? True Is 937 a composite number? False Is 20959 composite? False Is 19661 a prime number? True Is 87613 composite? False Is 453751 composite? True Is 141881 a prime number? False Is 46597 composite? True Is 25841 a composite number? False Is 77137 composite? False Is 2941385 a prime number? False Is 117911 prime? True Is 143 composite? True Is 132817 composite? False Is 171295 prime? False Is 208859 prime? False Is 1931 composite? False Is 815 a composite number? True Is 42593 prime? False Is 2643479 a composite number? False Is 1366771 a prime number? False Is 156109 a prime number? True Is 555403 composite? True Is 53549 a prime number? True Is 12391 a composite number? False Is 29459 a prime number? False Is 2266939 composite? True Is 187 a prime number? False Is 2384461 a composite number? False Is 20131 a composite number? True Is 8263 a composite number? False Is 49891 a composite number? False Is 3433 a composite number? False Is 359089 a prime number? False Is 451 prime? False Is 188607 composite? True Is 59057 prime? False Is 41153 a prime number? False Is 2999221 a prime number? False Is 260771 prime? False Is 3737 a prime number? False Is 61613 a composite number? False Is 30971 composite? False Is 1201 a prime number? True Is 244097 a composite number? True Is 309487 a composite number? True Is 38899 a composite number? True Is 142183 prime? True Is 24793 composite? False Is 207811 a composite number? False Is 17657 a composite number? False Is 25663 a prime number? False Is 119041 a prime number? False Is 1581649 composite? False Is 580141 prime? False Is 6089 prime? True Is 84649 a composite number? False Is 2650817 a composite number? True Is 14177 a prime number? True Is 42323 a prime number? True Is 154723 composite? False Is 7901 composite? False Is 23097 composite? True Is 23918 a prime number? False Is 1061 a composite number? False Is 1937 prime? False Is 314485 prime? False Is 7709 composite? True Is 80111 a prime number? True Is 996599 a prime number? True Is 234218 a prime number? False Is 136499 a prime number? False Is 21647 a composite number? False Is 2952481 prime? False Is 9 prime? False Is 3287 prime? False Is 7919 a composite number? False Is 21661 a prime number? True Is 84691 prime? True Is 67909 a composite number? True Is 15187 a prime number? True Is 325073 a composite number? True Is 30869 a composite number? False Is 156801 a composite number? True Is 33431 prime? False Is 1361 composite? False Is 395 prime? False Is 2537 a composite number? True Is 5131 a composite number? True Is 30223 composite? False Is 32831 a composite number? False Is 8419 composite? False Is 47077 composite? True Is 517 a composite number? True Is 36433 a prime number? True Is 11209 a composite number? True Is 589141 prime? False Is 32479 a composite number? False Is 9937 a prime number? False Is 202577 a prime number? True Is 165437 prime? True Is 203386 a composite number? True Is 934223 a composite number? False Is 4109169 a composite number? True Is 1747 a composite number? False Is 13261 composite? True Is 52489 prime? True Is 8603 composite? True Is 3017 a prime number? False Is 111955 a composite number? True Is 9103 a prime number? True Is 722009 a prime number? False Is 355 prime? False Is 17915 composite? True Is 46623 composite? True Is 62039 a composite number? False Is 2777 composite? False Is 2741 prime? True Is 17481 composite? True Is 15133 prime? False Is 25793 a composite number? False Is 12307 a composite number? True Is 961 composite? True Is 310001 composite? True Is 80159 a composite number? True Is 1475183 composite? True Is 76079 a prime number? True Is 235929 prime? False Is 22391 a composite number? False Is 11311 a composite number? False Is 1851217 a composite number? False Is 112713 a composite number? True Is 32731 composite? True Is 9442 composite? True Is 510009 a prime number? False Is 21403 a composite number? True Is 56779 composite? False Is 10451 a composite number? True Is 7741 prime? True Is 53471 a prime number? False Is 106 composite? True Is 38113 prime? True Is 168529 a composite number? True Is 49319 composite? True Is 3755 a prime number? False Is 1133 prime? False Is 4366621 a composite number? True Is 6511 composite? True Is 134711 a prime number? False Is 71629 composite? True Is 6595 a composite number? True Is 117277 a composite number? True Is 31523 prime? False Is 10493 a prime number? False Is 871 composite? True Is 9781 a composite number? False Is 9173 prime? True Is 59497 a prime number? True Is 18661 a composite number? False Is 8813 a prime number? False Is 7207 a prime number? True Is 631 a composite number? False Is 894019 a prime number? False Is 594023 a prime number? True Is 409007 a composite number? False Is 341 a composite number? True Is 208099 composite? False Is 6049 composite? True Is 16361 prime? True Is 148691 prime? True Is 280751 a prime number? True Is 157733 composite? False Is 5331 prime? False Is 19531 composite? False Is 35251 prime? True Is 16603 a prime number? True Is 6440
{ "pile_set_name": "DM Mathematics" }
+ 4. What is the closest to o in 0, 1, 0.1? 1 Let t = 489.1 - 489. Suppose 3*i + 14 + 31 = 0. Which is the closest to i? (a) -4 (b) t (c) -0.3 a Let q = -0.3 - -5.3. Suppose -4*d = -d. Suppose -3*z + 7*z + 8 = d. What is the nearest to 0.1 in z, 0.09, q? 0.09 Let z be 1*(6/(-36))/(3/2). What is the nearest to -8 in -0.3, -0.1, z? -0.3 Suppose 10*w + 6*w = 2*w. Let a = -40/11 - -233/55. What is the nearest to -1/4 in w, a, 3? w Let l be (-14)/16 - (390/40 + -10). Let d be (1 - 0 - -8)*(-3)/(-63). Let y = 0.2 - -0.2. What is the nearest to 1 in l, d, y? d Let z = 0.94 + -0.29. Let r = z - -0.35. Let f be 2/8 - 2/(-4). What is the closest to 2/13 in -3, f, r? f Let j be (-15)/(-18)*(1 - 5/25). Let q = -16 + 32. Let u be ((-6)/4)/((-6)/q). Which is the closest to 0.1? (a) u (b) j (c) 0.3 c Let r = 0.054 - 4.554. Let p = r - -4.1. What is the nearest to 1 in -2/11, p, 1/5? 1/5 Let w be (-3 - 0)*(-1)/1. Let y = 16262/19 + -856. What is the closest to 0 in w, 0.4, y? y Let k = -0.6 - 4.4. Let b = 6035 - 30171/5. What is the closest to -0.2 in k, 3, b? b Let y = 5.2 + -5. Suppose -50 = -3*r - 5*g, 4*r - 23 = -2*g + 25. Let v = r - 7. Which is the nearest to 1/3? (a) -2 (b) y (c) v b Let s be (3/(-9))/(3 - (-219)/(-72)). Suppose 5*j + 2 = l - 1, s = -4*j. Which is the nearest to l? (a) -5 (b) 0 (c) 3/8 a Let k = -1.046 - -0.646. Which is the nearest to -2/3? (a) 3 (b) -0.1 (c) k (d) 12 c Let f = 0.15 - 3.15. Let s be 5/2*4/2. What is the nearest to f in s, -2/5, -3? -3 Let l be (185/(-9))/(-5) - 4. Let r be (-55)/11 - 59/(-12). What is the nearest to -6 in l, 1, r? r Let h(d) = 2*d + 2. Let k be h(-3). Suppose 0 = 7*u - u - 18. What is the closest to 0.1 in -3, k, u? u Let r = 1.21 + 2.87. Let s = -0.04 + -0.04. Let n = s + r. Which is the nearest to 1? (a) -5 (b) n (c) 5 b Suppose 0 = -4*v - 3*o + 6, -3*v - 2*v + 9 = 3*o. Which is the nearest to 0.07? (a) v (b) -0.5 (c) 0.3 (d) 4 c Let o = 0.05955 + 0.04045. Let g = -0.1 - -0.1. What is the nearest to o in -0.1, g, -0.2? g Suppose 2 = 3*s - 5*m, s + 0 = 3*m + 2. Let y = 5.08 - 1.08. Which is the nearest to s? (a) 3 (b) -3 (c) y b Let o = 0.0523 + 0.0477. Let x = -1 + 0.7. Let z = -19.6 - -20. Which is the closest to o? (a) 1 (b) z (c) x b Let n = -2/109 - 212/327. Let k(q) = q**2 - 35*q + 67. Let l be k(33). Which is the nearest to 1/10? (a) -1 (b) n (c) l b Let m = 155 + -154.9. Suppose -14 = -4*i - 2*o - 4, 0 = 2*i + 3*o - 7. What is the nearest to m in -0.2, i, 3? -0.2 Let w = 0.0505 - 0.2505. Which is the nearest to -1/4? (a) -4 (b) 6/17 (c) 1/4 (d) w d Let j = 200.8 - 201. What is the closest to 0.1 in -0.1, -0.4, j, -5? -0.1 Let k = 436 - 432. What is the nearest to -1 in k, -2, -1/3, 2/5? -1/3 Let u = -0.9 + -0.1. Let n = 1.1 - 1.4. Let c = 13/9 - 43/36. What is the closest to c in 1, n, u? n Let c = -15.45 + -0.05. Let u = c - -15. What is the closest to 0.1 in u, -7, 4? u Let d = -964/7 - -138. Let f = -2016 + 2016.27. Which is the closest to -1? (a) d (b) f (c) -2 c Let u = -19.849 - 0.151. Which is the nearest to -2? (a) -0.1 (b) u (c) 1/5 a Let i = 4 - 4.4. Let v be 235/75*(-5)/(-2). Let y = v - 8. Which is the nearest to -1? (a) i (b) 5 (c) y a Let s = 0.2082 - 0.3152. What is the nearest to s in -1, 3, 0, -2? 0 Let q be 2/(-27)*3 + (-300)/108. Let l = -1.79 + 1.29. Which is the closest to 2? (a) l (b) q (c) 0.1 c Let d = -0.385 + 0.48. Let t = 0.905 + d. Which is the closest to t? (a) -8 (b) -2 (c) -0.4 c Let v = -14 + 13.89. Let d = -444.11 - -448. Let p = d - v. Which is the nearest to 0.1? (a) p (b) 0.3 (c) 2 b Let d = 33.08 - 33. Let l = 0.38 - d. Let i = 3/4 - 1/4. Which is the closest to i? (a) 2/7 (b) l (c) -4 b Let f = -0.15 - 1.55. Let g = f - -1.7. Which is the nearest to g? (a) -0.06 (b) 2 (c) 1 a Let h = -1.5 - -2. Let v = -0.38 - -1.38. Suppose 0 = 5*t - 4*t + 5. Which is the closest to 1/4? (a) t (b) v (c) h c Let f = 45 - 25. Let h = -81/4 + f. Let v = 0.06 - -0.04. Which is the closest to v? (a) 1 (b) -4 (c) h c Suppose -8 = 5*w + 2. Let g = -2088 - -2088. Let y = -85/14 + 32/7. What is the closest to g in y, w, 1/9? 1/9 Let i = -0.5 + 0. Let v = -0.54 - 0.46. Let m = -0.2 - 0.8. Which is the closest to v? (a) i (b) -4 (c) m c Let y = -5.0331 - -0.0331. Let v = -16 + 15.6. Which is the closest to -0.3? (a) 0.5 (b) v (c) y b Let f = 5 - 1. Let s = 18 - -2.5. Let x = s + -20. What is the closest to f in x, 2, -3? 2 Let k = -302 - -301. What is the nearest to 1/4 in 11, -3, k? k Suppose 18*p + 7 = -11. Let r = 4.31 - 0.01. Let l = r - 4. Which is the closest to p? (a) 9 (b) l (c) 5 b Let s(n) = -2*n - 26. Let o(t) = t + 14. Let v(z) = -5*o(z) - 3*s(z). Let w be v(-9). What is the nearest to w in -0.01, 2/7, -1? -1 Let k(w) = w + 3. Let t be k(3). Let m be 9/(-6) - (-393)/t. Let l = 194/3 - m. Which is the nearest to -0.05? (a) l (b) -0.2 (c) -2/3 b Let f = 2.84 - 2.94. Which is the nearest to 1? (a) 0.3 (b) f (c) -1/2 (d) 5 a Let j = 0.08 + -3.08. Let m(y) = -y**3 + 11*y**2 - 12*y - 3. Let v be m(10). Let r = v + 19. Which is the nearest to -1? (a) -1/4 (b) j (c) r a Let r be 1/(-3)*(-1)/3. Suppose 0*s = -2*s + 2. Suppose -8 = 2*d - 18. Which is the nearest to 6/5? (a) s (b) d (c) r a Let y = 1.4 + -0.4. Let u = -12.6 - -13. Let q = 0.172 - 0.572. What is the nearest to 0.1 in q, u, y? u Let c = 6 - 16. Let n = -10.1 - c. Let v = -5473/15 + 365. What is the nearest to n in -5, v, 4? v Let x = -72 + 66.4. Let m = 6.6 + x. What is the nearest to 0 in 1/5, m, 5? 1/5 Let f = 10 + -12. Let k be (-20)/315 - (-4)/(-18). What is the nearest to -0.1 in f, -0.2, k? -0.2 Suppose 159*w = 160*w + 1. Let l be (24/(-100))/((-12)/15). What is the nearest to 1 in w, l, 2? l Let t = 14/37 - -41/185. Let i be 1/(-3) + 2/(-30). Which is the closest to i? (a) 6 (b) -4 (c) t c Let r(q) = -3*q + 6. Let z be r(4). Let v be 2/z*(-6)/4. Let o = -2.896 + 3.396. Which is the nearest to v? (a) -2 (b) -3 (c) o c Suppose 0 = -5*k - 4*j - 105, 0 = -k - 0*k + 4*j - 45. Let a be (-10)/k*(1 + 13). Let r = a - 6. What is the closest to r in 2/13, 2, -2/5? -2/5 Let j = -5 + -0.1. Let x = -5 - j. Let r = 489/2 - 244. Which is the nearest to x? (a) r (b) -2/3 (c) 0.1 c Let d = 138 - 137. Suppose -5*l + 9 = -3*w, 0*l = 4*w + l + 12. Which is the closest to -0.2? (a) w (b) 0.1 (c) d b Let h = -266.7 - -262.7. Which is the closest to 1/2? (a) 2/131 (b) h (c) -1/3 a Suppose -4*v - 1 = -y - 40, -v + 2*y = -8. Let j be (v/6 - 2) + 28/(-6). Which is the nearest to 3/5? (a) j (b) 2/3 (c) 1/4 b Let n = -0.1 + -0.3. Let l = 0.2 + n. Let m = -90 - -92. Which is the nearest to -1? (a) m (b) l (c) 4 b Suppose -6 = -2*a - 2. Let b be (3/a)/(189/18). What is the closest to -2/7 in b, 1/3, -2/9? -2/9 Suppose -3*m = m - 4*i, -4*i - 8 = 0. Let j = -13 - -18.35. Let l = 0.35 - j. What is the closest to m in 4/3, -1/3, l? -1/3 Let s = -493.6 + 494. What is the nearest to 0.2 in -2, -0.1, s, -6? s Let w(v) = -2*v + 4. Let t be w(3). Let r = -0.1 - -0.4. Let d = 17 + -16.6. What is the closest to t in 5, r, d? r Suppose d = -16 - 35. Let k = d - -46. Let t = 0.3 + -0.2. What is the closest to t in 2, k, -0.2? -0.2 Let v = 2.46 + 0.64. Let r = 0.12 - -3.88. Which is the closest to 0? (a) -5 (b) v (c) r b Let n = -38/15 - -27/10. Suppose 2*g + 4 = -0. Let j be 3*2/(-4) - g. Which is the closest to -0.02? (a) j (b) 2/19 (c) n b Let k be (6 - 3)*(125/30 + -4). Which is the closest to -2? (a) 4 (b) k (c) 3/5 (d) 0.9 b Let y = 5 + -8. Let h(p) = p**3 + p - 12. Let u be h(0). Let w(i) = -i**3 - 13*i**2 - 12*i + 2. Let m be w(u). Which is the closest to 1? (a) y (b) m (c) -4 b Let q = -157 + 156. Let d be 1/((-18)/(-10) + -2). What is the nearest to 0 in q, -1/8, d? -1/8 Let n = -1165 - -5827/5. Which is the nearest to n? (a) -4/25 (b) -1 (c) -1/8 (d) -0.1 d Let m = -6.037 - -0.037. What is the nearest to m in -4, -5, -2/3? -5 Let g be 6/8*2*(-166 + 168). Let s = 0.3 - 0.2. What is the closest to s in 0, 0.5, g? 0 Let l = -2.8703 - 2.1297. Let v = -0.1 + 0. Which is the closest to v? (a) 12/11 (b) 1/3 (c) l b Let u = -1056 - -1056. What is the closest to u in 0.29, 0.4, 2/9? 2/9 Let l = -22 - -9. Let q = -9 - l
{ "pile_set_name": "DM Mathematics" }
79/15? 30 Let l = 2 - 0. Let x be 0 - (0 - (l + -2)). Suppose x = j + 4*q - 34, 0*j + 4*j - 73 = 5*q. Calculate the lowest common multiple of 22 and j. 22 What is the smallest common multiple of 87/12 + 9/12 and 8? 8 Calculate the common denominator of -33/2 and (582/20)/(6/5). 4 Let g = 100493/9032 + -3/2258. Let v = 3867084545/872808 - -50/109101. Let o = 4442 - v. Calculate the common denominator of g and o. 8 Let m(p) = p + 1. Let j be m(2). Let n(z) = 7*z - 7. Calculate the least common multiple of n(j) and 8. 56 Let y be 207/2 - (-33)/(-22). Suppose -4*k + y - 22 = 0. Calculate the smallest common multiple of 20 and k. 20 Let o = 71 + -51. Let z = -30 + 50. What is the lowest common multiple of z and o? 20 Suppose -5*a + a - 4*s + 52 = 0, -2*s = 10. Calculate the least common multiple of a and 22. 198 Suppose -4*l + 344 = 104. Find the common denominator of ((-3)/(-24))/((-2)/(-170)) and 7/21 + (-131)/l. 40 Calculate the smallest common multiple of (8/(-24))/((-3)/216) and 6. 24 Let n(b) = -8*b - 1. Let y be n(1). Let d = y + 15. Calculate the lowest common multiple of 2 and d. 6 Let t = -15591/16502 - -57/223. Calculate the common denominator of -3/16 and t. 592 Let u(t) = 4*t - 2. Suppose -h = 3*h - 12. Let l be u(h). Calculate the common denominator of ((-1)/l)/(2/(-28)) and -71/6. 30 What is the least common multiple of 8/(-6)*(-63)/6 and (-80)/(-36) - (-10)/(-45)? 14 Suppose 0 = -3*h + 4*c + 9 + 5, 4*h = -4*c. What is the lowest common multiple of 22 and h? 22 Let w(g) = g**2 - 5*g + 8. What is the lowest common multiple of w(5) and 22? 88 Let y(z) = -2*z - 2. Let q be y(-2). Let f(x) = -2*x - 4 + x**q + x**2 + 0*x**2. Calculate the lowest common multiple of f(3) and 14. 56 Let i(k) = -k**3 - 9*k**2 - 10*k + 2. Let p be i(-8). Suppose 0 = g - 3*g - 2*v + 12, 0 = 2*g - 4*v - p. What is the smallest common multiple of g and 7? 7 Let i = 6/1189 + 162785/21402. Find the common denominator of -53/36 and i. 36 Let g = 183/700 + 33/28. What is the common denominator of 16/55 and g? 275 Suppose -2*j = -0*j - 8. Suppose -h + j*h = 60. Suppose h + 16 = 4*g. Calculate the least common multiple of 5 and g. 45 Calculate the common denominator of 19/62 and 3 - (-151)/(-10) - -3. 310 Let l(q) = -5*q**2 + 2*q - 2. Let d be l(4). Let f be (-3)/12*11/d. Let j = -8655/2072 - f. What is the common denominator of j and 145/12? 84 Suppose 46 = 3*g - 4*l, 5*g + 0*l - 105 = l. What is the lowest common multiple of 5 and g? 110 Let f(q) = q**2 + 4*q - 5. Let r be f(-5). Suppose -v + r = -22. Calculate the smallest common multiple of v and 16. 176 What is the least common multiple of 21 and 60/(-18)*27/(-6)? 105 Suppose -o - 10 = -3*o. Suppose -4*p + p + o*n + 4 = 0, 5*n - 5 = 0. What is the smallest common multiple of p and 10? 30 Suppose 0 = 2*q - 7*q + 15. What is the common denominator of 1/20 and 16/(-24)*(-19)/q? 180 Find the common denominator of (4/10)/((-8)/226) and 1055/(-90) + 5 + (-2)/9. 90 Let s be (-6)/10 + 1424/40. Suppose 0 = -2*k - v + s, 42 - 7 = k - 3*v. What is the least common multiple of 12 and k? 60 Suppose 5*g - 4*g = 40. Calculate the smallest common multiple of 20 and g. 40 Suppose m + 3*m = 3*q + 2, -5*q = -5*m. Suppose 0 = t - q - 0. Calculate the smallest common multiple of t and 22. 22 Let m be ((-17)/(-5) - 4)*-10. Suppose v = -m*v + 126. Calculate the lowest common multiple of 20 and v. 180 Suppose 0*p - 3*p = -27. What is the lowest common multiple of p and (-264)/(-32) - 2/8? 72 Find the common denominator of (-28)/(-8)*138/(-98) and -53/16. 112 Suppose -19 = -k - 0*k. What is the common denominator of ((-9)/(-6) - -1)*-7 and (30/(-4))/(3/k)? 2 Let g(s) = 3*s + 5. Let a(c) = -2*c - 4. Let i(b) = -6*a(b) - 5*g(b). Let q be i(-3). Calculate the lowest common multiple of 4 and ((-18)/q)/((-3)/24). 36 Suppose 2*p = 5*u - 37, u - 4*p = -5 + 16. Let f(h) = -h**3 + 7*h**2 + h - 6. Let x be f(u). Find the common denominator of 33/14 and x*3/(-6)*-23. 14 Let h = 12 + -7. Suppose 4*z - 3*p - 20 = 13, -39 = -4*z + h*p. Suppose z + 2 = 2*m. What is the least common multiple of m and 9? 36 Let y(i) = i**3 + i**2 + 5. Let g(z) = z**2 + 6*z. Let o be g(-6). Let c be y(o). Suppose c*d + 31 = 81. Calculate the least common multiple of 8 and d. 40 What is the common denominator of 43/16 and (-119)/(-32) + 1 + -4 + 2? 32 Let a = 2 - 4. Let p be ((-4)/(-8))/((-1)/a). What is the common denominator of 61/20 and (-291)/54 - (1 - p)? 180 Let i = -668681/32636 - -840/41. Let h = i + -10943/1592. Calculate the common denominator of h and -121/10. 40 Suppose -780 = i - 40*i. Suppose -11 = 2*j - 43. Let m = j + 6. Calculate the least common multiple of i and m. 220 Let t be ((-2)/4)/((-2)/14764). Let n = -66379/18 + t. Calculate the common denominator of n and 27/4. 36 Suppose 8 = 3*j - 2*j. Let h(z) = 2*z. Calculate the least common multiple of h(9) and j. 72 Let o = 1763 + -3623/2. Let q = 2083799/1035 + -6040/3. Let c = q + 94193/8280. What is the common denominator of c and o? 8 Let b = -803049/118342 + 1/8453. Find the common denominator of b and -17/16. 112 Let v(o) = o**2 + 3*o + 3. Let u be 5/(-10) - 38/(-4). Suppose -r + 17 = u. Calculate the least common multiple of r and v(-4). 56 Suppose 8 = -4*i + 44. Let a = -4 + i. Calculate the smallest common multiple of a and 2. 10 Let f be (4*(-3)/2)/(-2). Suppose -4*t + 4*u + u = 9, t - 19 = -f*u. Let n(s) = s**3 - 5*s**2 - 7*s + 7. Calculate the least common multiple of t and n(6). 4 What is the least common multiple of ((-36)/30)/((-3)/30) and 6? 12 Suppose 5*b + 0*b = 5. Let c be (-1 - 1)*(-24)/16. Calculate the lowest common multiple of -1 - ((-18)/c - b) and 3. 6 Let u = 135 + -91. Calculate the common denominator of ((-742)/(-21))/(u/6) and -55/3. 33 Let j be 3/2 - 687/204. Let t = j + 138/17. Calculate the common denominator of -89/16 and t. 16 Let z = -42317/192 + 11224021/44736. Let f = z - -3/466. What is the common denominator of f and -79/10? 10 Let x(r) = -r**2 + 5*r - 2. Calculate the least common multiple of 2 and x(4). 2 Let z = -7437/4 + 1841. Suppose -5*k = 7 + 13. Find the common denominator of z and (-1146)/(-56) - k/14. 4 Suppose -2*g + 0*g + 34 = 0. Suppose 2*x - g + 5 = 0. What is the least common multiple of 5 and x? 30 Calculate the common denominator of (84/96)/(9/(-52)) and 27/22. 198 Let t(x) = x**3 + 8*x**2 - 4*x. Let i be t(-8). Let r = i + -16. Suppose 0 = u + u - 28. Calculate the least common multiple of u and r. 112 Let b = -14/1675 + -125401/26800. Calculate the common denominator of 61/16 and b. 16 Let s be -2 - 5/(15/(-18)). Suppose -4*q + 0*q + 12 = 0. Suppose 2*i + s*z - 2 = 0, 4 = -q*z + 1. Calculate the lowest common multiple of 11 and i. 33 Let h be (-6)/(-3) + 7 + -2. What is the common denominator of (-27)/10*(-8)/(-6) and 1/(-15) + h/(-21)? 5 Let t be 8/(-10) - 1/5. Let q be (-1 - t/(-1)) + 2. Suppose 3*p = 3*v + 7*p - 26, -4*v + 2*p - 2 = q. Calculate the smallest common multiple of 3 and v. 6 Suppose 0 = 7*s - 2*s + 2*b - 90, -4*b + 54 = 3*s. What is the least common multiple of s and 15? 90 Suppose -m + 4*i + 17 = -0*i, 34 = 2*m - 3*i. Let j = m + -15. Calculate the smallest common multiple of j and 8. 8 Let o(i) = -20*i. Let h be o(-2). Suppose p = -p + h. Calculate the lowest common multiple of -1 + -18*(-3)/6 and p. 40 What is the common denominator of 45/16 and 36/(-24) + (-47 - (-3)/(-3))? 16 Let q = -74373/16 + 4650. Find the common denominator of q and -85/4. 16 Suppose s - 6 = 1. Suppose 0 = 3*n - 2 - 10. Suppose -v = n*z - 16, -30 = -5*v + 4*z + z. Calculate the lowest common multiple of s and v. 56 Let c = -69 - -87. Suppose 0 = 4*s - 3*s - 2. Suppose b = -5*z - 11, b + 5*z = s*b - 19. What is the smallest common multiple of b and c? 36 Suppose 2*h + h = 6. Let t be -1*(1 + 4) - h. Calculate the lowest common multiple of 8 and -3*4/14*t. 24 Let m(n) = -n**3 - 7*n**2 - n + 1. What is the least common multiple of m(-7) and 16? 16 Suppose 0 = 13*j + 12 - 142. What is the lowest common multiple of j and 17? 170 Let o = 3512 + -14127/4. What is the common denominator of o and 4/18 + 280/(-18)? 12 Suppose -3*o - 10 = -t + 2*o, 5*t - 50 = 3*o. Let y = 9 - -3. Calculate the least common multiple of t and y. 60 Let i = -25 - -39. Suppose -5*f +
{ "pile_set_name": "DM Mathematics" }
ose 0 = -2*y - 4*q + n*q + 136, 2*y = -t*q + 120. Is y a multiple of 27? False Does 13 divide 4517/8 - 7*51/(-952)? False Let n(g) = -g**2 + 2*g. Suppose 0*a = 5*a - 5. Let z be n(a). Is 3 a factor of (-9)/(-1) - (z - 2)? False Is (120/100)/(6/1000) a multiple of 8? True Let m(c) = 3*c**3 + 2*c**2 + c - 13. Let t(x) = -x**3 + x**2 + 1. Let g(y) = -m(y) - 5*t(y). Let l be g(5). Suppose -4*a + 6*a = l. Is a a multiple of 7? False Let y = 8 - 5. Suppose 0 = -0*u + y*u + 156. Let b = u + 88. Does 18 divide b? True Suppose 5*v = 2*z - 3 - 16, 3*v = -3*z - 24. Let k be z + -5 - 2/1. Let c(b) = -5*b - 17. Does 11 divide c(k)? True Suppose -2 = v - 9. Let f = -37 - -151. Suppose -v*p = -p - f. Does 17 divide p? False Suppose -3*t + w = -1572, -3*w = -3*t - 0*w + 1566. Is 53 a factor of t? False Let i = 45 + -39. Suppose 5*r + i*r = 264. Does 14 divide r? False Let x = 11 - 5. Suppose -2*c - 2*n + 70 = 0, 3*n - 126 - 12 = -4*c. Suppose 3*b + 47 = 5*v, -3*v + x*v - c = -3*b. Does 6 divide v? False Let m(k) = -49*k + 19*k + 92*k**2 + 13*k + 16*k. Is m(1) a multiple of 13? True Let w(y) = -13*y - 13. Let i(g) = 77*g + 133. Let b(m) = 7*m + 12. Let p(j) = 56*b(j) - 5*i(j). Let l(t) = -5*p(t) - 3*w(t). Is l(5) a multiple of 24? True Suppose 2*a = -6, -58 - 434 = -o - a. Is 58 a factor of o? False Let u be (-140)/21*(-6)/4. Let t(f) = -4*f**2 - u*f - 3 + 9 + 5*f**2. Is t(10) a multiple of 6? True Let y(f) = -f**3 - 3*f**2 - 3*f + 3. Let u be y(-3). Suppose 0*h + u = 6*h. Suppose -h*n + 39 + 1 = 0. Is 8 a factor of n? False Suppose 2*s + 5*p - 271 = 230, -s + 245 = -3*p. Suppose -s = -9*j - 5. Is j a multiple of 4? False Suppose 6 = -r - 2*r. Is r*1/((-6)/123) a multiple of 9? False Let a be 1/5 - (-264)/30. Suppose -3*m - 4*i = -3, -a - 16 = -2*m + 5*i. Suppose m*c = -3*s + 24, 0 = 5*s - 5*c - 15 - 25. Is s even? True Suppose -34 = -10*g + 8*g. Suppose -2*f + g = 3*s, 0*f + 4*s - 24 = -3*f. Is 3 a factor of f? False Let p be (-8)/(-6) + 4/6. Suppose 0 = 6*b - p*b, 3*a - 6 = 4*b. Suppose 0 = -a*q + 182 - 26. Does 26 divide q? True Let u = 3487 - 2582. Is u a multiple of 36? False Let y be ((-4)/4)/(3/(-12)). Let i(b) = -b**3 + 6*b**2 - 17*b - 9. Let h(p) = p**3 - 7*p**2 + 16*p + 8. Let r(s) = y*i(s) + 5*h(s). Is 12 a factor of r(10)? True Let v be 1/(-3) - (-2)/(-3). Does 26 divide (-1085)/(-14) + (-1)/(v*2)? True Suppose 1 + 43 = -4*j. Let a be 240/110 + 2/j. Let b = a + 17. Is b a multiple of 18? False Let a be 346/(-10) - 4/10. Suppose -2*q = x + 1, -2*x + 2*q - 2 = 6. Does 12 divide 3 + -5 - x - a? True Suppose -1616 = -4*o + 4*x, -6*o + 2036 = -o - x. Does 8 divide o? True Suppose -5*q - 15 = -h, -h + 0*h + 13 = -4*q. Suppose -j - 128 = -h*j. Does 4 divide j? True Suppose 27*v - 37*v = -13800. Is 15 a factor of v? True Suppose 2*i + m = 114, 3*m - 14 = 2*i - 136. Is 7 a factor of i? False Does 2 divide -2*((-13 - -4) + 7)? True Let n be 44/3 + (-2)/3. Suppose 2*y + l = 7, y - l + 5*l - n = 0. Suppose y*o + 32 = 4*p, -5*p + o + 7 = -36. Is 2 a factor of p? False Let t = 43 + -33. Let j(q) = 3*q**2 - 16*q + 22. Is 18 a factor of j(t)? True Suppose -4*r - d + 478 = 0, 3*r + 3*d - 364 = 5*d. Let g be ((-18)/(-3))/((-2)/(-3)). Suppose -4*u = -4*q - r, -g = u + 3*q - 47. Does 8 divide u? True Let m = 62 + -60. Suppose 63 = -f + 5*k + 207, m*f - 3*k - 288 = 0. Is f a multiple of 24? True Let n = -15 + 27. Let j = -24 - -41. Let w = j - n. Is w a multiple of 2? False Is 22 a factor of 426/2 - ((-72)/(-6) + -7)? False Let q be (-4)/(-18) + (-19856)/(-72). Is (-20)/(-6)*q/10 a multiple of 23? True Suppose k - 187 = -r, 2*r + 199 = 3*r - 3*k. Suppose -2*l + r = 54. Is l a multiple of 14? False Suppose -3*h = -5*h - 5*n - 23, 2*n + 2 = h. Let g be 2 + (h - 1) + 0. Is 11*(-1 - (g - -1)) a multiple of 11? True Let a(k) = 232*k + 24. Is a(1) a multiple of 56? False Let t(h) = -3*h. Let o(l) = l**3 + 7*l**2 + 6*l - 1. Let i be o(-6). Let p be t(i). Suppose -p*y - 33 = -168. Is y a multiple of 9? True Suppose -5 = -x - 2. Suppose -4*k - 3 = o - x*k, 5*o - 2*k = -15. Is 10 a factor of ((-8)/o)/((-12)/(-234))? False Is (-96)/80*(-21435)/6 a multiple of 132? False Does 24 divide 63/14*284 + -6? True Let t(s) = 105*s - 1. Is 13 a factor of t(1)? True Suppose 9*m - 23743 + 8425 = 0. Is m a multiple of 46? True Suppose 0 = -8*k + 7*k - 4, -2468 = -4*i + 2*k. Does 6 divide i? False Let u(i) = 20*i - 257. Is u(13) a multiple of 3? True Suppose 0 = -25*f + 24*f - 2*l + 960, 0 = 3*f - 2*l - 2848. Is 37 a factor of f? False Let a = -1104 - -1845. Does 39 divide a? True Is (38/(-5))/(12/(-1080)) a multiple of 4? True Let n(t) = t**2 - 22*t + 31. Let f be n(10). Let l = f + 127. Is 5 a factor of l? False Suppose 0 = 25*u - 37*u + 9072. Is u a multiple of 35? False Is 1 + (-40)/24 - 16575/(-9) a multiple of 38? False Let u be ((3 - -8) + 2)*(6 + -5). Suppose -n + 2 = -3*n, -2*n = 3*p - u. Is 5 a factor of p? True Let j = -56 + 42. Is (-1 + j/4)*44/(-3) a multiple of 11? True Suppose -3*w - 43 = 20. Let k be (w/6)/((-4)/88). Let q = k - 14. Is q a multiple of 23? False Suppose 5*u - 16 = -46. Is 9 a factor of (14/u)/((-3)/45)? False Let i be (30/18)/(4/(-288)*-4). Is 20 a factor of -3 + 85/i - (-242)/12? True Let q = 1 + 3. Suppose 0 = -q*w + 127 + 493. Suppose 5*i = 5*p + w, 4*p - 97 - 10 = -3*i. Is i a multiple of 9? False Suppose -p - 8 = -15. Let k be 24/p + (-8)/(-14). Suppose x = -5*a + 33, 10 - 2 = -k*a. Is 11 a factor of x? False Let f(x) = -x**3 + 3*x**2 + 12*x - 12. Let a be f(5). Is (a + 62)/(-1 + 2) a multiple of 8? False Let b(j) = -j**3 + 26*j**2 + 34*j - 143. Is 9 a factor of b(27)? False Let j = -23 + 28. Suppose j*r - 92 = -3*i, -4*i = -4*r - r + 64. Is 16 a factor of r? True Let n = 89 - 38. Let a = n - 9. Is a a multiple of 14? True Let c = 262 - 51. Let m = c - 118. Is 28 a factor of m? False Let t be ((-2)/6)/(30/540). Let c(v) = -2*v**3 - 6*v**2 + v + 4. Is 12 a factor of c(t)? False Suppose -9 = -3*r + 6*r. Let h be (-22)/(-7) - r/(-21). Suppose 5*i = -d + 8, -h*i = -4*i - 4*d - 6. Is i a multiple of 2? True Let q(s) = -s**3 + 19*s**2 - 16*s + 4. Let m be q(18). Suppose -m = -39*f + 37*f. Is f a multiple of 20? True Let m(k) be the second derivative of 3*k**3/2 - 3*k**2 - 86*k - 1. Let c(f) = -2*f - 9. Let l be c(-6). Is m(l) a multiple of 6? False Suppose 5 = -h + 12. Let i be ((-44)/h)/(4/(-14)). Let u = -1 + i. Is u a multiple of 4? False Suppose -9 + 24 = 5*l. Suppose 55 = 3*q - 6*g + g, 35 = 5*q + l*g. Does 4 divide q? False Let m(o) = -o - 2. Let c be m(-6). Suppose c*b + 61 = -55. Is 9 a factor of (-18)/9 - (0 + b)? True Let a(r) = -r - 3. Let c be a(-9). Let x(v) = 2*v**3 - 8*v**2 - v + 13. Let h(t) = t**3 - 4*t**2 - t + 6. Let n(d) = 5*h(d) - 2*x(d). Is 29 a factor of n(c)? True Let c = 131 + -72. Let l be 1/(4/(0 + 8)). Does 12 divide (0 - c)*-1 - l? False Suppose 0 = 5*g + 3*g + 24. Is g/(-7) - (-151)/7 a multiple of 22? True Suppose -12*f = 2417 - 7937. Is f a multiple of 20? True Suppose 0 = -3*r - s + 458, 4*s - 420 - 341 = -5*r. Is 11 a factor of r? False Let j(g) = 2*g - 4. Let m be j(-2). Let b = -6 - m. Does 15 divide 1 - ((-34)/b + 3)? True Suppose -9*a + 10 = -26. Suppose 0*z = -3*w - 3*z + 447, -a = -z. Does 29 divide w? True Let r = 734 + -328. Is r a multiple of 29? True Suppose -4*g - 43 = -0*g - s, g - 2*s + 16 = 0. Let t(n) = -n**3 - 8*n**2 + 13*n + 8. Is t(g) a multiple of 6? True Let x(r) = 2*r**3 - 22*r**2 + 67*r - 4. Is x(5) a multiple of 30? False Let k(x) = 15*x**3 - x + 1. Let a be k(1). Suppose -5*m + 15 = -f + 36, a = 3*f - 3*m. Does 16 divide 3*f/(6/32)? True Let d = 1037 + -442. Is 27 a factor of d? False Suppose -l - 4*h - h = -17, -5*l = -h + 45. Let q(u) = -29*u - 32. Is 40 a factor of q(l)? True Let g(t) = -t**2 - 15*t + 3. Let z be g(-9). Let k = z + -99. Does 16 divide 12/(k/16 + 3)? True Let k(f) = -40*f + 15. Let q(m) = 119*m - 44. Let x(i) = 11*k(i) + 4*q(i). Does 37 divide x(3)? False Let b = 489 + 41. Is b a multiple of 10? True Let s(i) = 5*i**2 - 10*i + 6. Let m(t) = 5 + 2*t**2 + 4*t**2 + 1 + 0*t**2 - 11*t. Let f(z) = -4*m(z) + 5*s(z). Is f(8) a multiple of 21? False Let x = 5 + -11. Let f be (15/6)/((-3)/x). Suppose -45 = -f*q + 80. Does 8 divide q? False Let y(i) = i**3 - 7*i**2 - 11*i + 4. Suppose 7*s + 0*
{ "pile_set_name": "DM Mathematics" }
or of 20 and i. 4 Let g(d) = d**2 + 7*d - 43. Let z be g(-19). Suppose -5*c - 80 = t - 2*t, -4*c = -3*t + z. Calculate the greatest common divisor of t and 11. 11 Let t = 269 + -174. Suppose -8 = -4*d + b, 2*d + b = 3*d - 2. Let p be d/(-2) + 20 + 0. Calculate the highest common factor of p and t. 19 Suppose -9*f = -4*f - 20. Suppose -u + 322 = 5*a - f*u, 0 = 4*a - 3*u - 260. What is the greatest common factor of 155 and a? 31 Suppose 2*b + 5*h - 16 = 0, 3*b - 3*h - 7 = -2*h. Suppose 0 = 2*s - b*s + 20. Let n = s - 15. Calculate the highest common divisor of n and 2. 1 Suppose -3*d = 2*d - 15. What is the greatest common factor of 5 and d? 1 Let i(w) = -8*w - 47. Let x be i(-8). Calculate the highest common factor of x and 697. 17 Let a = 127 + -332. Let l = a - -435. Calculate the greatest common divisor of 46 and l. 46 Suppose -5*v = -4*o - 81, 3*o + 0*o + 14 = v. Let b = 6 + -3. Let l be b/(-2)*(-374)/3. What is the greatest common factor of v and l? 17 Let p(b) be the first derivative of 15*b**2 + 5*b + 22. Let m be p(3). Calculate the highest common divisor of 19 and m. 19 Let w be (4 + 4)*1 - 4. Let o = 11 + -11. Suppose 0 = 4*l - o - 8. What is the greatest common divisor of l and w? 2 Let g = 1483 - 1051. What is the greatest common divisor of 27 and g? 27 Let t be (4 - (-336)/36)*12. Calculate the greatest common divisor of t and 10. 10 Suppose 3*a - 12 = 0, -3*h + 0*a - 4*a = -37. Let c = h - 2. Calculate the highest common divisor of c and 5. 5 Let s(l) = l**3 - 8*l**2 - 11*l + 32. Let g be s(9). Calculate the greatest common divisor of 133 and g. 7 Let l be 1*(-1 + (2 - -12)). Let y = -28 - -33. Suppose 0 = 3*c + y - 44. Calculate the highest common divisor of l and c. 13 Let b be (-1)/((-116)/(-39) + -3). Let v = b + -28. What is the highest common factor of 11 and v? 11 Let b be 39*9/(162/24). Calculate the greatest common factor of b and 2. 2 Let p = -1233 - -1273. What is the greatest common factor of p and 190? 10 Let o(b) = 2*b**2 + 21*b - 11. Let z(l) = -l**2 - 10*l + 5. Let v(f) = -6*o(f) - 13*z(f). Let t be v(-4). What is the highest common divisor of t and 2? 1 Let r(b) = -3*b**3 - 4*b**2 - 5*b + 2. Suppose -5*p + 19 = -q, q - 4*q - p = 9. Let f be r(q). Calculate the greatest common divisor of f and 6. 6 Let k(w) = 5*w**2 - 6*w**2 - 7*w - 6 + 9*w**2. Let y(n) = -3*n**2 + 4*n + 3. Let u be y(-1). Let d be k(u). Calculate the greatest common divisor of 15 and d. 15 Suppose -6*d - 1560 = -5*i - 3*d, i = -4*d + 312. Calculate the greatest common divisor of 24 and i. 24 Let o(v) = v**3 + 6*v**2 - 6. Let t be o(-5). Let a = 31 - t. Suppose -2*n - m = -24, 5*m + 2 - 14 = -n. Calculate the greatest common divisor of n and a. 12 Let s = 12 + -12. Suppose 3 + s = 3*g. Let c = g + 3. Calculate the greatest common factor of 16 and c. 4 Suppose -18*k + 528 = -12*k. Suppose -32 = 7*q - k. Calculate the highest common factor of q and 12. 4 Let q be 989/6 + 14/84. Calculate the greatest common divisor of q and 55. 55 Let l = -33 - -79. Suppose 0 = -6*z - 0*z + 36. Let i(x) = -x**3 + 6*x**2 + 5*x - 7. Let v be i(z). What is the highest common divisor of v and l? 23 Suppose 4*y - 64 = -2*n, -4*y + 7 = 3. What is the highest common factor of 48 and n? 6 Suppose 3860 + 32657 = 53*w. What is the greatest common factor of 13 and w? 13 Let l = -40 + 108. Let a be -1 + l + 72/(-18). Calculate the greatest common factor of a and 42. 21 Suppose 5*b + 74 - 349 = 0. Let h = 71 - b. What is the highest common factor of 8 and h? 8 Suppose -4*w + 0*t + 11 = -5*t, 0 = -t + 5. What is the greatest common factor of 27 and w? 9 Suppose 0 = -2*q - 4*z + 52, -2*z + 7 = -2*q + 41. What is the greatest common factor of q and 50? 10 Let m(z) = -z**2 + 15*z + 14. Let g be 4/5 + -1 + 66/5. Let a be m(g). Calculate the greatest common divisor of 16 and a. 8 Let f = 791 - 733. What is the highest common divisor of f and 1566? 58 Let h = -92 - -92. Suppose h = -3*f + 2*w + 24, -5 - 16 = -4*f - w. Calculate the greatest common factor of 54 and f. 6 Suppose 18*m + 4*r = 21*m - 12, -15 = -4*m + 5*r. Suppose 4*d = -m*d + 156. Calculate the highest common divisor of 65 and d. 13 Let p = 7 - 15. Let d be 1 + -2 - (-2 + 23). Let r = p - d. What is the greatest common divisor of r and 2? 2 Let h(c) = -c**2 - 14*c + 41. Let o be h(-15). Calculate the highest common divisor of 4 and o. 2 Let k(f) = f**2 - 4*f - 8. Let u be k(-2). Suppose -u*y + 42 = 2*y. Suppose -3*o - 1 = -w - 9, o - 1 = 2*w. Calculate the greatest common divisor of w and y. 1 Suppose -2*v - 2*v - 4*k + 32 = 0, -2*v - 5*k = -10. Let x = 9 - v. Let y be (-1)/x*(5 - 4). What is the greatest common factor of y and 9? 1 Suppose -g + 168 = -4*g. Let h be 1*-3 - g/8. Suppose h*r - 14 = 10. What is the greatest common divisor of 3 and r? 3 Let q be (6/(-15))/(204/(-200) + 1). What is the highest common factor of q and 540? 20 Let o(k) = 7*k**2 + 39*k + 1. Let s(f) = -10*f**2 - 58*f - 2. Let u(w) = -7*o(w) - 5*s(w). Let r be u(-17). Calculate the highest common factor of r and 27. 3 Suppose 3*n = -2*g + 268, 0*g - 84 = -n + 2*g. Suppose 2*k - n = -6. Calculate the greatest common factor of k and 287. 41 Suppose 4*t = -4*w - 2 - 2, 5*t = 3*w + 27. Suppose t*i - 5*l = 911, 277 = -0*i + i + 5*l. Calculate the greatest common factor of 27 and i. 27 Suppose l - 3*l = -z + 3, 0 = l - 1. Let u be z + (-332)/(-24) - 1/(-6). What is the highest common divisor of 209 and u? 19 Let o = 64 + 57. Let l = o + -46. Suppose -6*d = -l - 105. Calculate the greatest common divisor of 20 and d. 10 Let s(g) = 29*g + 153. Let t be s(-5). Suppose r - 37 = 4*k, 2*r - 7*r + 100 = -3*k. Suppose -b - r + 49 = 0. Calculate the greatest common divisor of t and b. 8 Let a(w) = w + 6. Let p be a(12). Let c be -18*9/(p/(-8)). Calculate the greatest common divisor of c and 18. 18 Suppose 4 = -3*c + 88. Suppose 0*i - 2*i = -c. Calculate the highest common divisor of 42 and i. 14 Suppose -b + 2*k = -4*b - 25, -48 = 4*b - k. Let m be b/2*(-14 - -12). What is the highest common divisor of m and 88? 11 Let a = 9 + -8. Suppose 2*r - a = 21. Let m be 3 - (-1 + 6) - 57*-1. Calculate the highest common factor of r and m. 11 Suppose -4*x = -9*x. Suppose x = -4*c + 3*c - 9. Let v be 3 + 3/c*0. What is the highest common factor of 9 and v? 3 Suppose 2*i + 10 = 0, 2*d - 56 = -9*i + 13*i. What is the highest common factor of d and 108? 18 Let d(u) = -5*u - 20. Let y(c) = -14*c - 62. Let o(z) = 20*d(z) - 6*y(z). Let h be o(-2). What is the greatest common divisor of h and 1? 1 Suppose -2*a = -6*a + 220. Let o(v) = -v + 47 + a + 0*v + 0*v. Let l be o(0). What is the highest common divisor of 68 and l? 34 Let b = -266 - -303. What is the greatest common factor of 148 and b? 37 Suppose -p = 1 - 6. Suppose -66 + 11 = -p*o. What is the greatest common factor of 1 and o? 1 Suppose 5*u - 181 + 36 = 5*f, 4*f - 39 = -u. What is the highest common divisor of 31 and u? 31 Let u be -18 + (1 - 1) + 0. Let r = -9 - u. Let t be (-1)/(((-1)/r)/1). Calculate the greatest common divisor of 72 and t. 9 Suppose -4*n = i - 734, 3*i - n - 2970 = -i. What is the highest common factor of 106 and i? 106 Suppose 4*m + 0 + 8 = 0, 2*i + m = 102. Suppose 14*j - 351 = -13*j. What is the greatest common factor of i and j? 13 Suppose -975 = -27*v + 2*v. Calculate the highest common divisor of v and 195. 39 Let r(n) = n**3 + n**2 - n + 82. Let d be r(0). Suppose -d - 26 = -6*z. What is the highest common factor of 72 and z? 18 Let q(c) = -2*c + 25. Let g be q(15). Let r be g/(5/2) - -32. Calculate the greatest common divisor of 330 and r. 30 Suppose -194 = 12*s - 2930. What is the highest common divisor of s and 12? 12 Let z = -319 - -359. Calculate the greatest common divisor of 64 and z. 8 Let y(s) = s**3 + 7*s**2 - 18*s - 66. Let t be y(-8). Calculate the highest common divisor of t and 154. 14 Let k be -13*(-2 - 2)/2. Suppose 0 = 7*b - 97 - 85. Calculate the greatest common divisor of b and k. 26 Let l(v) = -v**2 + 27*v - 18. Let m be l(24). Calculate the highest common divisor of m and 81. 27 Let y be ((-10)/6)/(-5 - (-84)/18). What is the greatest common divisor of 85 and y? 5 Let p(u) = u**2 - 5*u - 4. Let w be p(7). Suppose w*x - 4*x = 264. What is the greatest common divisor of x
{ "pile_set_name": "DM Mathematics" }
t is the greatest common factor of j and z? 10 Let d be 0 + (3 - 5) + 233. What is the highest common divisor of d and 21? 21 Let a(q) = 3*q**2 + 0 - 1 - 1 + q + 0. Let f be a(-2). Calculate the greatest common divisor of f and 24. 8 Let x be ((-5)/(-15))/(4/144). What is the greatest common factor of x and 20? 4 Let m = 99 + -43. What is the highest common factor of 7 and m? 7 Let g(d) = -3*d - 1. Let r be g(-1). Let v = 3 + r. Suppose -2*u + v*u - 512 = -4*p, -2*u + 5*p = -326. Calculate the greatest common factor of u and 21. 21 Let m = 168 - 68. What is the highest common divisor of 20 and m? 20 Let k(a) = -a**2 - 9*a + 6. Let c be k(-5). What is the greatest common divisor of c and 234? 26 Suppose 464 = 5*a - 61. What is the greatest common divisor of 21 and a? 21 Suppose 0*m + 13 = m. Let j = m - -11. Let y = 1 - -2. Calculate the greatest common factor of j and y. 3 Let t = 11 + -8. Suppose 12 = z - 2*g, -t*g - 20 = -3*z + 7. Let y(d) = d**3 - 4*d**2 - 5*d + 2. Let f be y(z). What is the greatest common factor of 11 and f? 11 Let c be (36/(-10))/(2 - (-46)/(-20)). Let w be (12/(-3))/(1 - 2). Calculate the greatest common factor of w and c. 4 Let w = 23 + 12. What is the greatest common divisor of 245 and w? 35 Let b(p) = p**2 + p + 10. Let f be b(-10). Suppose 4*g = -3*c - 2*c + f, -4*c = g - 80. Calculate the greatest common divisor of c and 10. 10 Let f = 382 + -261. Calculate the highest common factor of 11 and f. 11 Let w(x) = 3*x**2 + 2*x + 2. Let a be w(-3). Calculate the highest common divisor of a and 115. 23 Let x(t) = t**3 - 4*t**2 + 3*t - 13. Let y be x(6). What is the highest common factor of y and 11? 11 Let p(k) = -7*k + 7. Let z be p(-5). Suppose 1 = -4*u + 9. Let c be (-5)/(5/u) + 16. What is the highest common factor of c and z? 14 Let z(p) = -p**2 + 9*p + 6. Let d be z(9). Suppose 4*y - 78 = -402. Let c = -27 - y. Calculate the highest common divisor of c and d. 6 Suppose -2*l = 5*s - 10, 3*s + 2*l - 3*l - 17 = 0. What is the greatest common factor of s and 10? 2 Let b = 39 - -49. What is the highest common divisor of b and 8? 8 Suppose 369 = 3*p - 2*l, -p - l + 44 = -79. Let i = 222 - p. What is the greatest common divisor of 9 and i? 9 Suppose 2468 = 7*u + 389. What is the greatest common divisor of u and 11? 11 Let u = -7 - -29. Let j = -12 + u. Let v = -2 + 6. Calculate the greatest common divisor of v and j. 2 Let z be 49*(2 + -1) - (0 + -2). Calculate the highest common factor of z and 34. 17 Let i be (360/70)/((-2)/(-21)). What is the greatest common divisor of i and 12? 6 Suppose 0 = 3*u - u + 12. Let n be 59/3 + (-2)/u. Suppose -2*k + 40 = 2*k. What is the greatest common factor of k and n? 10 Let k = 20 - 14. Let j be k/27 + 58/(-18). Let r(w) = -7*w. Let x be r(j). Calculate the highest common factor of x and 7. 7 Suppose -3*z - 30 = -2*f, -3*z = f + 3*f + 12. Let d = 6 + z. Let x(m) = -2*m**3 - 3*m**2 - 3*m. Let k be x(d). What is the highest common factor of k and 10? 10 Suppose -4*u + 1 = -r - 2, -6 = 2*u + 2*r. Suppose 3*k - 27 - 9 = u. Let v be (2 - 2) + (-120)/(-4). Calculate the highest common divisor of v and k. 6 Let z = 15 + -9. Let f be -1*(2/(-1) + -3). Suppose f*g = 10 + 10. What is the highest common factor of z and g? 2 Suppose -3*q - 11 = -17. Calculate the greatest common divisor of q and 8. 2 Let o(d) = -d**3 - 7*d**2 + 5*d - 4. Let p be o(-8). Calculate the highest common factor of 100 and p. 20 Let g(v) = -v + 4. Let m be g(3). Let b = m + 1. Calculate the highest common divisor of b and 14. 2 Let g = 21 + -19. Suppose 0 = g*z + 2, z - 3*z = 5*b - 73. Calculate the highest common factor of 45 and b. 15 Let r = -13 - -21. Calculate the highest common divisor of 12 and r. 4 Suppose z + z + u = 7, -5*z - 3*u + 15 = 0. What is the greatest common divisor of z and 24? 6 Suppose 64 = 3*j + 13. Calculate the greatest common divisor of j and 17. 17 Let l = -1 - -2. Let y = 5 - 1. Suppose y*p + 18 = 2*p + 4*d, 10 = 2*d. Calculate the highest common factor of p and l. 1 Let u = -11 - -14. Suppose -u = -3*o + 99. Calculate the greatest common factor of o and 17. 17 Let m(i) = 2*i**2 + 25*i + 2. Let r be m(-13). Calculate the highest common divisor of 30 and r. 15 Suppose -d = -5, 2*o + 0*o = d + 5. Calculate the greatest common factor of 5 and o. 5 Suppose 0 = -2*s - 84 + 260. What is the highest common factor of s and 11? 11 Let g = 6 + -8. Suppose -3*q + 8 = -7. Let z be ((-4)/2)/(g/q). Calculate the highest common factor of z and 55. 5 Let f(c) = 24*c**2 - 1. Let o be f(-1). What is the highest common factor of 69 and o? 23 Let t be (36/(-10))/(18/120). Let h be 3/(-2)*16/t. What is the highest common factor of h and 1? 1 Let s = 20 - 6. Suppose -3*d - 4*b = -5*b - 2, -5*b = -3*d - 14. What is the greatest common divisor of s and d? 2 Let h be (2 + -3 + 2)*38. Suppose h = 3*p + 14. Calculate the highest common divisor of 8 and p. 8 Suppose -2*m - 2 = -8. Suppose 43 = m*p + 7. Suppose r - 3*n = -4*n + 26, -76 = -2*r + 4*n. Calculate the highest common divisor of p and r. 6 Let j(y) = 14*y - 6. Let z be j(4). What is the greatest common divisor of z and 20? 10 Suppose -3*i + 16 = -2*z, 10 = 2*i - 0*z - z. Let f be (-624)/(-9) - i/(-6). Calculate the highest common divisor of 14 and f. 14 Suppose c = 2*g + 10 + 21, g = -2. Let j = c - 5. Let s be j/(-6)*6*-5. Calculate the greatest common factor of 10 and s. 10 Let q = -911 + 645. Let g be -2 + (0/(-2) - q). Let n be (g/16)/((-6)/(-40)). What is the highest common factor of 10 and n? 10 Suppose 0 = -2*t + 322 + 414. What is the highest common factor of t and 46? 46 Let r be 50/(-15) - 1/(-3). Let x = r + 4. Let p(s) = s**2 - 9*s - 14. Let m be p(11). What is the greatest common divisor of x and m? 1 Let i(w) = w**2 + 9*w + 9. Let b be i(-8). Let j be 2/6*6/b. Suppose 1 = -t + j. Calculate the highest common divisor of t and 1. 1 Let h = -3 - -157. What is the greatest common factor of h and 14? 14 Let g be (-2)/(-5) + (-1008)/(-30) + -4. Let x be 1*(-1 - 0/1). Let r(u) = -6*u**3. Let w be r(x). What is the greatest common divisor of w and g? 6 Suppose 0 = -q - q + 364. Suppose -v = -3*v + q. Calculate the highest common divisor of v and 13. 13 Let a be (-145)/4*-1 - (-11)/(-44). Calculate the highest common divisor of 90 and a. 18 Let d be -3*(-12)/(-54)*-264. What is the greatest common factor of d and 22? 22 Let c(x) = 2*x**2 + 8*x + 1. Suppose 2*o + 1 = -27. Let f = o - -20. Let y be c(f). What is the highest common factor of y and 11? 11 Let r(m) = m**3 - 4*m**2 + m. Let o be r(4). Suppose 0 = -0*s + o*s + 4*j - 12, 2*j = -3*s + 10. What is the greatest common factor of s and 4? 4 Suppose -q + 5*q = 320. Suppose 0*u = 3*u - 3*h - 102, -58 = -2*u - 3*h. What is the highest common factor of u and q? 16 Let k = 65 + -47. What is the greatest common divisor of 36 and k? 18 Let w = -12 + 20. Let u = 56 + 8. What is the highest common factor of u and w? 8 Suppose 0 = -5*r + 7*r - 26. What is the highest common divisor of r and 13? 13 Let u = -41 + 68. What is the highest common factor of u and 3? 3 Let p be 75/27 + -3 - 83/(-9). What is the greatest common factor of p and 9? 9 Suppose 2*b - w - 6 + 2 = 0, 0 = -5*w + 10. Suppose -b*y + 129 = 3*h, 0 = -5*y - 0*h + 3*h + 255. What is the highest common factor of 6 and y? 6 Let b(f) = -f**3 - 2*f**2 + 2*f + 3. Let p be b(-3). Let h be (2*-53)/(-6 - -5). Suppose h = 4*w + 34. What is the highest common divisor of w and p? 6 Suppose -4*l + 21 = -7. Let b(c) = c**2 - 4*c - 4. Let m be b(5). What is the greatest common factor of l and m? 1 Suppose 3*b + 16 = -c, 5*b + 15 = -4*c - 0*c. Let l(p) = -9 - 4*p - 1 + p. Let z be l(b). Calculate the greatest common factor of z and 44. 11 Let q = 2 - -8. Let a(n) = 3*n + 7. Let p be a(6). What is the highest common factor of p and q? 5 Let t be (3 + (-183)/15)*-5. Calculate the greatest common factor of 506 and t. 46 Let w be 0 + (-2 - -1) + 1. Suppose 476 = -w*k + 4*k. What is the greatest common divisor of k and 17? 17 Suppose 0 = -2*g - 4*n + 58, 4*n + 42 + 15 = 3*g. What is the highest common divisor of g and 161? 23 Let z = -118 - -125. What is the highest common divisor of z and 49? 7 Let y be 2 + -453*(-2)/3. Suppose q - y = -q. Suppose -4*j + 68 = -q. Cal
{ "pile_set_name": "DM Mathematics" }
4996. -3*(c - 2361)*(c - 12)*(c + 1) Factor 2*x**2/3 + 4340*x/3 + 5776. 2*(x + 4)*(x + 2166)/3 Factor -3*l**2 - 10107*l - 70602. -3*(l + 7)*(l + 3362) Factor 5*s**2 + 7315*s - 29340. 5*(s - 4)*(s + 1467) Factor 15*r**3 + 85*r**2 - 540*r - 3060. 5*(r - 6)*(r + 6)*(3*r + 17) Find o, given that -4*o**5 - 25772*o**4 - 41136812*o**3 + 1209667676*o**2 - 8173747680*o - 9424526400 = 0. -3236, -1, 15 Determine r, given that -4*r**2 - 1448*r - 92628 = 0. -279, -83 Determine p, given that -p**5/4 - 355*p**4/2 + 84613*p**3/4 - 1147817*p**2/2 - 638253*p + 1191186 = 0. -817, -2, 1, 54 Find t, given that -2*t**3 - 606*t**2 - 37228*t - 36624 = 0. -218, -84, -1 Determine z so that 20*z**4 + 9145*z**3 - 63555*z**2 - 424780*z - 102080 = 0. -464, -4, -1/4, 11 Determine f, given that 4*f**4/7 + 68*f**3/7 + 164*f**2/7 - 548*f/7 + 312/7 = 0. -13, -6, 1 Factor -5*f**2 - 5715*f. -5*f*(f + 1143) Determine v so that 14*v**4/3 - 456*v**3 - 15512*v**2/3 - 1440*v = 0. -10, -2/7, 0, 108 What is y in -45*y**4 + 2820*y**3 - 14135*y**2 - 22660*y - 7980 = 0? -2/3, 7, 57 Solve 52*p**3/9 - 168*p**2 + 10724*p/9 - 272/3 = 0. 1/13, 12, 17 Factor 116*k**2 - 42680*k - 2944. 4*(k - 368)*(29*k + 2) Factor 4*b**2 - 2868*b + 5720. 4*(b - 715)*(b - 2) Solve -2*c**3 - 108*c**2 - 930*c + 15376 = 0. -31, 8 Factor -2*d**2/3 + 3880712*d/3 - 1882490703368/3. -2*(d - 970178)**2/3 Determine d so that 2*d**2/7 - 568*d/7 - 2496 = 0. -28, 312 Solve m**3/7 + 533*m**2 + 3496819*m/7 + 31169889/7 = 0. -1861, -9 Determine l, given that -l**2/4 - 31301*l/2 - 979752601/4 = 0. -31301 Factor -u**3 - 219*u**2 + 888*u + 1686608. -(u - 77)*(u + 148)**2 What is x in -10*x**5 + 262*x**4 - 1602*x**3 - 3190*x**2 + 30700*x - 6000 = 0? -4, 1/5, 5, 10, 15 What is w in -2*w**3/7 - 90672*w**2/7 - 1027676448*w/7 = 0? -22668, 0 Determine k, given that k**4/5 - 377*k**3/5 - 1967*k**2/5 + 21873*k/5 - 37818/5 = 0. -11, 3, 382 Factor 3*h**2 - 3740976*h + 1166241786048. 3*(h - 623496)**2 Factor -5*u**5 - 90*u**4 - 160*u**3. -5*u**3*(u + 2)*(u + 16) Factor 2*r**3/3 + 13164*r**2 + 64970920*r - 389983504/3. 2*(r - 2)*(r + 9874)**2/3 Let 4*a**4 - 12*a**3 - 480*a**2 + 496*a + 960 = 0. Calculate a. -10, -1, 2, 12 Factor -d**2/5 - 28018*d/5 - 28017/5. -(d + 1)*(d + 28017)/5 Solve -2*n**5 - 38*n**4 + 254*n**3 + 278*n**2 - 1452*n - 1440 = 0 for n. -24, -2, -1, 3, 5 Let -4*h**4 + 3820*h**3 - 921524*h**2 + 4535300*h - 5415000 = 0. Calculate h. 2, 3, 475 What is b in 2*b**4/3 - 988*b**3/9 - 62680*b**2/9 - 833872*b/9 + 64896 = 0? -26, 2/3, 216 Find w, given that -4*w**4/9 + 20*w**3/9 + 88*w**2/9 + 64*w/9 = 0. -2, -1, 0, 8 Determine p so that 20*p**5 + 48716*p**4 - 58484*p**3 + 9748*p**2 = 0. -2437, 0, 1/5, 1 Factor 3*w**3 + 23344*w**2/3 - 5188*w/3. w*(w + 2594)*(9*w - 2)/3 What is b in -b**2/4 + 8271*b - 68409441 = 0? 16542 Let -10*y**2/3 + 42344*y/3 - 16936/3 = 0. What is y? 2/5, 4234 Suppose 2*s**3 - 10610*s**2 - 95696*s + 233816 = 0. What is s? -11, 2, 5314 Determine u so that -5*u**4 - 1155*u**3 - 85745*u**2 - 1999725*u + 4351750 = 0. -103, -65, 2 Find m such that 25*m**3/6 + 1015*m**2/2 - 5447*m/2 + 21463/6 = 0. -127, 13/5 Let 4*r**2/3 - 71624*r/3 + 320624836/3 = 0. What is r? 8953 Suppose -b**5/5 + 4*b**4 + 358*b**3/5 + 844*b**2/5 - 357*b/5 - 864/5 = 0. What is b? -9, -3, -1, 1, 32 Factor -4*t**2 + 2800*t + 19796. -4*(t - 707)*(t + 7) Solve 2*m**2/13 - 4566*m/13 - 18296/13 = 0 for m. -4, 2287 Suppose -4*i**3 + 2516*i**2 - 404300*i + 2708188 = 0. What is i? 7, 311 Suppose 82*d**4 + 396*d**3 - 2568*d**2 + 2896*d = 0. Calculate d. -362/41, 0, 2 Factor -3*l**2/8 + 216315*l/8 - 324459/4. -3*(l - 72102)*(l - 3)/8 Suppose -28*k**5 - 680*k**4 + 256*k**3 + 10880*k**2 + 3072*k = 0. What is k? -24, -4, -2/7, 0, 4 Factor -3*j**2 - 25110*j - 75303. -3*(j + 3)*(j + 8367) Factor 2*n**4 + 696*n**3 + 63924*n**2 + 585416*n + 1199562. 2*(n + 3)*(n + 7)*(n + 169)**2 Find j, given that 4*j**3/5 - 808*j**2/5 + 6796*j - 33176/5 = 0. 1, 58, 143 Suppose -5*x**3/4 - 999*x**2/2 - 49800*x + 20000 = 0. Calculate x. -200, 2/5 Determine f so that f**3 - 3194*f**2/3 + 5317*f/3 - 2126/3 = 0. 2/3, 1, 1063 Let -5*c**2 - 82845*c = 0. What is c? -16569, 0 Find s such that 6*s**3/7 - 174954*s**2/7 - 524904*s/7 - 49992 = 0. -2, -1, 29162 Factor 378*t**3 + 10581*t**2 + 19572*t - 156. 3*(t + 2)*(t + 26)*(126*t - 1) Determine h, given that -5*h**3 - 10495*h**2 - 10490*h = 0. -2098, -1, 0 Let -3*i**5/2 - 2545*i**4/2 - 270088*i**3 - 89888*i**2 = 0. Calculate i. -424, -1/3, 0 Let 4*q**3/7 + 7404*q**2/7 = 0. What is q? -1851, 0 Solve -4*m**4 - 280*m**3 - 4992*m**2 + 20056*m + 814660 = 0. -35, -23, 11 Find h such that 5*h**5 + 1965*h**4 - 32735*h**3 - 5905*h**2 + 94230*h + 65440 = 0. -409, -1, 2, 16 Suppose 3*c**2 + 773064*c + 49802329008 = 0. What is c? -128844 Suppose -2*h**4/5 - 596*h**3/5 - 2946*h**2/5 - 4696*h/5 - 2344/5 = 0. Calculate h. -293, -2, -1 What is u in -3*u**2/5 + 477*u - 18888/5 = 0? 8, 787 Let 4*i**2 + 1784*i - 103584 = 0. What is i? -498, 52 Factor 3*d**4 + 138*d**3 - 8121*d**2 + 30732*d - 30132. 3*(d - 31)*(d - 2)**2*(d + 81) What is g in g**4 - g**3 - 327*g**2 + 973*g - 646 = 0? -19, 1, 2, 17 Let -2*z**3 + 24826*z**2 - 77028870*z - 77053698 = 0. What is z? -1, 6207 Find z, given that z**5 + 155*z**4/2 + 813*z**3/2 + 1529*z**2/2 + 1229*z/2 + 180 = 0. -72, -5/2, -1 Determine o, given that o**4 - 1400*o**3 + 520613*o**2 - 21083134*o = 0. 0, 46, 677 Suppose 2*z**2 + 41224*z + 212427272 = 0. Calculate z. -10306 Suppose 22*k**4/3 + 67*k**3/3 + 23*k**2 + 25*k/3 + 1/3 = 0. What is k? -1, -1/22 Let -2*m**5/3 + 1566*m**4 - 2742400*m**3/3 - 19389848*m**2/3 - 7426112*m + 44405888/3 = 0. Calculate m. -4, 1, 1178 Factor -15*x**3 - 414*x**2 + 3327*x + 2142. -3*(x - 7)*(x + 34)*(5*x + 3) Let -4*h**2 - 175256*h - 350496 = 0. What is h? -43812, -2 What is r in 2*r**2 - 213290*r - 213292 = 0? -1, 106646 Factor 2*f**2 - 59430*f - 118868. 2*(f - 29717)*(f + 2) Solve -2*i**5/9 + 58*i**4/9 - 626*i**3/9 + 1018*i**2/3 - 708*i + 432 = 0 for i. 1, 4, 6, 9 Factor u**2/2 - 144051*u/2. u*(u - 144051)/2 Determine s so that -2*s**5 + 146*s**4 + 2236*s**3 = 0. -13, 0, 86 Find g such that -4*g**2/5 + 17244*g/5 + 17248/5 = 0. -1, 4312 Suppose f**2/8 - 3653*f/8 + 93135/2 = 0. What is f? 105, 3548 Factor 3*t**4 - 9588*t**3 + 7641600*t**2 + 30720000*t. 3*t*(t - 1600)**2*(t + 4) Factor 3*s**3 + 1050*s**2 - 6393*s + 5340. 3*(s - 5)*(s - 1)*(s + 356) Let -2*q**2/7 - 1210*q/7 + 2428/7 = 0. What is q? -607, 2 Factor a**4/5 - 2031*a**3/5 + 1019979*a**2/5 + 11466851*a/5. a*(a - 1021)**2*(a + 11)/5 Solve -2*u**3 - 3734*u**2/7 - 247432*u/7 + 71000/7 = 0 for u. -142, -125, 2/7 Solve 10*l**5 - 319*l**4 - 4662*l**3 - 4763*l**2 - 430*l = 0 for l. -10, -1, -1/10, 0, 43 Factor 5*l**2 - 2965*l - 667290. 5*(l - 767)*(l + 174) Factor -5*b**3 + 1090*b**2 - 5295*b - 6390. -5*(b - 213)*(b - 6)*(b + 1) Suppose j**3/7 + 60*j**2/7 - 12556*j/7 = 0. Calculate j. -146, 0, 86 Factor -5*y**3 - 281660*y**2. -5*y**2*(y + 56332) Let 4*l**2 + 1472*l - 377232 = 0. Calculate l. -542, 174 Determine p so that -p**3/9 + 18437*p**2/9 - 28323841*p/3 - 9443329 = 0. -1, 9219 Factor 2*c**2 - 68*c - 322630. 2*(c - 419)*(c + 385) Factor -5*q**2 - 274530*q - 3768336045. -5*(q + 27453)**2 What is u in u**2 + 49359*u - 49360 = 0? -49360, 1 Suppose -3*o**2/4 + 25685*o/2 + 8562 = 0. What is o? -2/3, 17124 Determine f so that 3*f**4/2 + 57*f**3/2 + 75*f**2 + 48*f = 0. -16, -2, -1, 0 Determine i, given that -237*i**5/7 + 2840*i**4/7 - 4218*i**3/7 - 33252*i**2/7 + 4897*i + 84 = 0. -3, -4/237, 1, 7 Suppose 23*i**3/5 + 4118*i**2/5 + 4273*i/5 + 178/5 = 0. What is i? -178, -1, -1/23 Find s, given that 3*s**3 - 15546*s**2 + 217011*s + 232560 = 0. -1, 15, 5168 Find j such that -11*j**4/6 + 1465*j**3/6 + 84929*j**2/6 + 68231*j/6 - 2537 = 0. -43, -1, 2/11, 177 What is k in 76*k**2 - 278*k - 104 = 0? -13/38, 4 Factor -33*j**3 + 93*j**2 + 18*j. -3*j*(j - 3)*(11*j + 2) Find p, given that -16*p**3 + 583*p**2 - 5436*p + 2268 = 0. 7/16, 18 Determine o so that o**2/9 - 4646*o/9 = 0. 0, 4646 Let -u**5 - 6*u**4 + 224*u**3 - 1056*u**2 + 1280*u = 0. What is u? -20, 0, 2, 4, 8 Factor 3*v**3/7 + 42*v**2 - 20175*v/7 + 39150/7. 3*(v - 45)*(v - 2)*(v + 145)/7 Suppose -3*g**2/5 - 888*g/5 - 873 = 0. What is g? -291, -5 Factor -2*s**2 + 1510*s + 6072. -2*(s - 759)*(s +
{ "pile_set_name": "DM Mathematics" }
= 3*h + f, -369 = -3*r - 5*h. Suppose -l - 69 = -5*m + 68, -r = -4*m + 5*l. What is the tens digit of m? 2 Suppose 5*w - 422 = -f + 3862, 0 = -5*w - 2*f + 4283. What is the units digit of w? 7 Let y(x) = -11*x - 1. Let t be y(-4). Suppose -3*i - t = -160. Let b = i + -23. What is the units digit of b? 6 Suppose -2*h - 74 = 5*c + h, 4*h - 8 = 0. What is the units digit of (116/c + 2)*-4? 1 Let h(k) be the second derivative of -k**4/12 - k**3/6 - 45*k**2 + 3*k. Let u be h(0). What is the units digit of (-16)/(-3)*u/(-24)? 0 Let d = -79 - -76. Let f(c) = -c**3 + 1 - 4*c**2 + 4*c + 3*c**2 + 4 - 2. What is the units digit of f(d)? 9 Suppose 0 = -3*i + 9, 4*i + 2 = 3*v - 1. Suppose 0 = h - 3*w - 81, 0*h + v*w = -5*h + 325. What is the tens digit of h? 6 Suppose -s = -4, g = -4*s + 51 + 4. Suppose m - 89 = g. What is the tens digit of m? 2 Let f(j) = -26*j - 8. Let i be f(-4). Suppose -3*k + 4*q - 2*q = -264, i = k + 2*q. What is the tens digit of ((-5)/(-2))/(9/k)? 2 Let i(b) = b + 48. Let a be i(0). Suppose j = -j + a. Suppose 3*c - j = -0*c - y, -3*c + 2*y = -24. What is the units digit of c? 8 Let r be 2/((-1)/62*-2). Let c be (15 - 0)*(-59)/(-295). Suppose -2*g + 69 = -s, r = 2*g + c*s - 3. What is the tens digit of g? 3 Let a(s) be the first derivative of 11*s**4/4 + s**3/3 - s + 5. Let m be a(1). Suppose -10*v = -m*v + 46. What is the units digit of v? 6 Let q = 40 - 7. Let y(t) = -2*t - 1. Let b be y(1). Let n = q + b. What is the units digit of n? 0 Suppose 134 = 5*o + 4*g, 0 = 5*o + 4*g - g - 133. Suppose -5*x + 3*x = 5*d + 40, o = -d - 4*x. What is the units digit of d/8 + 150/40? 3 Let l be 6/10 - (-148)/20. Let j = 19 + l. Let g = j - -5. What is the tens digit of g? 3 Suppose 0 = -16*d + 4122 + 422. What is the tens digit of d? 8 What is the hundreds digit of 1 - 9 - (-660 + -4)? 6 Let o(n) = -2*n**3 + 5*n**2 + 12*n - 5. Let v be o(5). Let d = -116 - v. Let u = 79 + d. What is the units digit of u? 3 Suppose i + 7 = -4*j, 3*i - 5*j + 3*j = -7. Let r(o) = 5*o**2 - 5*o - 3. What is the units digit of r(i)? 7 Suppose -o - x = -6*x + 18, -42 = 4*o - 5*x. Let r(k) = -k + 1. What is the units digit of r(o)? 9 Let w = 16 + -22. What is the units digit of (4/w)/((-6)/360)? 0 Suppose -6*p + 9302 = -4066. What is the tens digit of p? 2 Suppose -2876 = -46*l + 169440. What is the units digit of l? 6 Let w(c) = 2*c**3 - 5*c + 4. Let x be w(3). Suppose 3*t + x = 2*t. Let q = t + 68. What is the units digit of q? 5 Let v be (-22)/2*(1 + 2*-3). Let i = 86 - v. What is the units digit of i? 1 Suppose -2*w = 2*w + 44. Let i = w - -32. What is the tens digit of i? 2 Let h(w) = 211*w. What is the hundreds digit of h(1)? 2 Suppose 42 = 4*p + 78. Let m(n) = -5*n + 0*n - 10 + 2*n. What is the tens digit of m(p)? 1 Suppose 22 - 6 = 2*y. Suppose -3*w = -y*w - 285. Let n = w + 110. What is the tens digit of n? 5 Let m(a) = 2*a**3 + 54*a**2 - 23*a + 3. What is the hundreds digit of m(-27)? 6 Let v(x) = 405*x**2 + 8*x + 9. What is the hundreds digit of v(-2)? 6 Let u(g) = 2*g**2 - 12*g + 10. Let z be u(12). Suppose 3*k - 107 = 5*b, -2*b + b - z = -4*k. Let o = -21 + k. What is the tens digit of o? 1 Suppose 5*o = -j - 125 + 1118, -o = 2*j - 195. What is the hundreds digit of o? 1 Let t be 4 + -1 + -3 + -67. Let h = t - -245. What is the tens digit of h? 7 Let b(j) = 2131*j + 10. What is the hundreds digit of b(1)? 1 Suppose b - 206 = 4*s - 0*s, 5*s + 266 = -3*b. Let u = -30 - s. Suppose -x - 72 = -5*j, x = j - 3*x - u. What is the tens digit of j? 1 Suppose -881 = -3*c + 604. What is the hundreds digit of c? 4 Suppose -b + 5*b = 68. Suppose -56 = 4*k - 5*l, -2*k + 3*l - 19 = 7. Let y = b - k. What is the tens digit of y? 3 Suppose -5*q + 4 + 16 = 0. Suppose q*b = 269 - 69. What is the units digit of 280/b - (-4)/10? 6 Let q = 108 - 103. Let r(m) = -m - 1. Let z be r(-6). Let l = z + q. What is the tens digit of l? 1 Let s(m) = -5*m + 61. Let r be s(10). Let h(t) = 8*t + 37. What is the units digit of h(r)? 5 What is the tens digit of -115*2655/225*(-1 - 0)? 5 Let k(l) = -l**2 - 12*l - 29. Let v be k(-4). Suppose -t + 13 = -1. What is the tens digit of t - 6/v - -2? 1 Let f = 5164 - 3636. What is the units digit of f? 8 Let y be (3 + -11)*1*1. What is the units digit of -5*y*3/15? 8 Suppose 30*q = -34*q + 89856. What is the hundreds digit of q? 4 Let s(u) be the first derivative of u**3/6 + 7*u + 1. Let d(p) be the first derivative of s(p). What is the units digit of d(4)? 4 Let r be -19*40/12*-6. Suppose -4*z + 0*f - 3*f = -r, f = -4*z + 388. What is the units digit of z? 8 Let j = 85 - 51. Suppose -41 = -5*s + j. What is the units digit of (-3)/s - (-31)/5? 6 Suppose 9 = 3*c - 0*c. Suppose c*h + 30 - 84 = 0. What is the tens digit of h? 1 Let d(z) = 72*z**2 + 22*z - 111. What is the tens digit of d(4)? 2 Let n be 7/3 + (-62)/(-93). Let s(d) = 35*d**2 + 4*d - 2. What is the hundreds digit of s(n)? 3 Let t(b) = 2*b + 13. Suppose -2*i + i = 6. Let h be t(i). What is the units digit of 38/10 - h/(-5)? 4 Suppose 47*t - 51647 - 56030 = 0. What is the tens digit of t? 9 Let b(x) = 56*x + 15. Let h(o) = -14*o - 4. Let v(m) = 2*b(m) + 9*h(m). What is the units digit of v(-2)? 2 Suppose -3*d = -2*x - 145, 3*d + 17*x = 13*x + 151. What is the units digit of d? 9 Suppose -5*h - 16 = -0*q + q, 4*q - 4*h - 32 = 0. Let y be -1*(-4 - (3 - 2)). Let z = q + y. What is the units digit of z? 9 Suppose 0 = 19*s - 16801 - 5961. What is the tens digit of s? 9 Suppose -20 + 2 = -2*u. Suppose -4*z = u - 21. Suppose n = z*n - 16. What is the units digit of n? 8 Let n(i) = -i**2 + 3*i - 3. Let f be 1*(1 - 4/(-4)). Let d be n(f). What is the units digit of 66 - (d + (-15)/5)? 0 Let f(t) = -2*t**2 + 4*t - 31. Let c be f(6). What is the units digit of c/((-32)/6 + 5)? 7 Let v be ((-15)/(-3) - 2) + 89. Let x = v + -55. What is the units digit of x? 7 Suppose -4*j + 3*b = 7*b - 40, j - 8 = -2*b. What is the units digit of j? 2 Let q = -2093 - -3509. Suppose 6*r - q = -6*r. What is the hundreds digit of r? 1 Let u(d) = 3*d**2 - 10*d - 4. Let a be u(-5). Suppose 4*y = 25 - 5, -y + a = 4*p. What is the units digit of p? 9 Let d be (-80)/64 - (-74)/8. What is the units digit of d/6*27/18? 2 Suppose -10*i + 8*i - 16 = 0. Let u be (i/7)/((-4)/14). What is the units digit of ((-10)/u + 0)*-2? 5 Let r = 9 + -7. Let m = -1 + r. Let p = m - -2. What is the units digit of p? 3 What is the units digit of (-9)/(63/2) - (-4176)/14? 8 Let l(s) = 933*s + 63. What is the hundreds digit of l(1)? 9 Suppose 235 = 2*g + 4*z - 59, 4*g = -5*z + 600. What is the tens digit of g? 5 Let u = -30 - -29. Let i be (-4 - u)*(-2)/3. What is the units digit of (-135)/i*6/(-9)? 5 Let i(w) = -w**2 - 9*w. Let y be i(-8). Let s(j) = j**2 - 3*j + 8. Let a be s(y). Suppose -f + 31 = -3*m, -2*f - 4*m + a = -3*m. What is the units digit of f? 5 Let h(n) = -6*n**3 + 5*n**2 + n - 3. What is the units digit of h(-4)? 7 Let m = -62 + -23. Let l = 123 + m. What is the units digit of l? 8 Let i be (1 + -28)/((-5)/(-15)). Let x = i + 145. Let r = -23 + x. What is the units digit of r? 1 Let r = 41 - 29. Let m(g) = 0*g + 2*g + r + 0*g - 3*g. What is the units digit of m(5)? 7 Let j(t) = 29*t**2 + t + 22. What is the thousands digit of j(6)? 1 Let n(m) = -10*m - 95. What is the units digit of n(-20)? 5 What is the tens digit of 1414 - ((-5 - 4) + 7)? 1 Let l = -62 + 1119. What is the thousands digit of l? 1 Let f be ((-255)/(-12))/((-1)/4). Let q = f - -130. What is the units digit of q? 5 Let p(v) = -5*v - 3. Let b(a) = 3*a + 2. Let d be b(-1). Let h be (16/12)/(d/3). What is the tens digit of p(h)? 1 Suppose 11*d + 1 = 1. Suppose d = 5*x - g - 297 - 693, -4*x = 4*g - 792. What is the hundreds digit of x? 1 Let x(o) = o**3 + 6*o**2 + 5*o - 2. Let f be x(-6). Let i = f - -64. What is the units digit of i? 2 Let y(h) = 10*h**2 - 86*h + 6. What is the thousands digit of y(17)? 1 Let j be 1 - 4*(-4 + 2). Suppose j*r = 277 + 110. What is the units digit of r? 3 Let b(f) = 17*f**2 + 3*f + 6. Let d(t) = -6*t**2 - t - 2. Let a(j) = 4*b(j) + 11*d(j). Let c(l) = l + 3. Let k be c(-5). What is the units digit of a(k)? 8 Let w(k) = -k**2 + 38*k - 31. Let c be w(37). Let h(b) be the first derivative of b**3 - 7*b**2/2 - b + 2. What is the tens digit
{ "pile_set_name": "DM Mathematics" }
6*o + 14 + 12*o + 29*o**2 + 14*o wrt o. 58*o Let q be 1/(-1) + 8/2. Differentiate 0 + 2*r**3 - 3*r**q + 5 wrt r. -3*r**2 What is the first derivative of -24 + b**2 - b**2 + 22*b**4 + 38 wrt b? 88*b**3 What is the first derivative of -368*v**3 - 1 + 369*v**3 + 6 wrt v? 3*v**2 Let w(h) = -h**3 - 4*h**2 - 4*h. Let i be w(-3). What is the third derivative of 9*y**3 - 5*y**i + 3*y**2 - 9*y**3 wrt y? -30 Let k(l) = -l + 7. Let f be k(11). Let w(u) = -u**2 - 3. Let d(r) = -r**2. Let y(v) = f*d(v) - w(v). Differentiate y(n) with respect to n. 10*n Let g(y) be the second derivative of -33*y**5/20 + 37*y**2/2 - 49*y. Differentiate g(x) with respect to x. -99*x**2 Let q(b) = 8*b**5 + 4*b**2 - 15*b + 4. Let u(n) = 8*n**5 + 3*n**2 - 16*n + 3. Let c(m) = 3*q(m) - 4*u(m). What is the second derivative of c(o) wrt o? -160*o**3 Let y be 3/6 - (-14)/4. Let q be y*(6/4)/3. What is the third derivative of 3*g**q + 11*g - 11*g - 3*g**3 wrt g? -18 Let w(s) be the first derivative of -3*s**8/56 + s**4/4 + 2*s + 3. Let k(q) be the first derivative of w(q). Find the third derivative of k(v) wrt v. -360*v**3 Let h(v) = -4*v**4 - 3*v**2 + 10*v. Let l(p) = -5*p**4 - 2*p**2 + 11*p. Let c(q) = -2*h(q) + 3*l(q). What is the second derivative of c(a) wrt a? -84*a**2 Let w(j) be the first derivative of 3 + j**3 - 3/2*j**2 + 0*j. Find the second derivative of w(n) wrt n. 6 Let v be (-90)/(-40) + (-3)/(-4). Find the second derivative of s**5 - v*s**5 - s - s**5 wrt s. -60*s**3 Differentiate -9 - 239*g**3 + 3*g**4 + 239*g**3 with respect to g. 12*g**3 Find the first derivative of 53*t**4 - 13 - 40*t**4 - 39*t**4 wrt t. -104*t**3 Let v(i) be the second derivative of i**5/2 + 11*i**4/12 - 5*i. Find the third derivative of v(b) wrt b. 60 Let q(f) = -4*f**2 - 3*f - 6. Suppose r - 5 + 2 = 0. Let j(x) = -7*x**2 - 5*x - 11. Let h(p) = r*j(p) - 5*q(p). Differentiate h(l) with respect to l. -2*l Let l(a) = -a**3 + a**2. Let v(r) = -8*r**4 - 2*r**3 + 2*r**2 - 15. Let w(h) = 2*l(h) - v(h). What is the derivative of w(y) wrt y? 32*y**3 Suppose 1 = -2*m - 3*b + 10, -4*b - 8 = -4*m. Suppose m*y - 2 = 2*y. What is the third derivative of 6*o**2 - 2*o**3 - 5*o**2 - y*o**2 wrt o? -12 Let m(h) be the second derivative of -7*h**6/30 - 11*h**3/6 + h. What is the second derivative of m(p) wrt p? -84*p**2 Let b = 14 + -10. What is the third derivative of b*n**5 + 2*n**2 - 5*n**2 + 0*n**2 wrt n? 240*n**2 Suppose 5*p = 3*a - 11, 3*a + 0*p = 2*p + 26. Suppose u - a = -3*u. Differentiate 5*t**u - 2 - 4*t**3 + t**3 wrt t. 6*t**2 Let r(a) be the second derivative of 1/24*a**4 + a + 1/3*a**3 - 1/2*a**2 + 0. Let n(j) be the first derivative of r(j). Differentiate n(y) with respect to y. 1 Let i(h) be the first derivative of -3/2*h**2 - 3 + 2*h. Find the first derivative of i(k) wrt k. -3 Suppose 4*c = 3*c + 3. What is the second derivative of 0*z**3 + 2*z**5 + 2*z - z**3 + z**c wrt z? 40*z**3 What is the second derivative of -5*s**5 + 4*s**5 + 0*s - 3*s wrt s? -20*s**3 Let d(p) = 7*p**4 - 6*p**2 + 22*p - 54. Let n(w) = -15*w**4 + 13*w**2 - 43*w + 109. Let y(j) = -13*d(j) - 6*n(j). Differentiate y(o) with respect to o. -4*o**3 - 28 Let j(m) be the second derivative of 0*m**2 + 2*m + 0 - 1/3*m**3 + 0*m**4 + 7/20*m**5. What is the second derivative of j(c) wrt c? 42*c Let o be (10/24)/(20/8). Let b(h) be the second derivative of h + 0 + 0*h**2 - 1/12*h**4 + o*h**3. Find the second derivative of b(j) wrt j. -2 Suppose 3*h = 4*h - 2. Differentiate g**h + 3 + g**2 - 3*g**2 with respect to g. -2*g Let f(d) be the first derivative of 23*d**3/3 - 3*d + 13. Find the first derivative of f(v) wrt v. 46*v Find the third derivative of 60*h**2 - 6*h**4 + 4*h**4 + 12*h**3 - 9*h**3 + 9*h**4 wrt h. 168*h + 18 Let i(c) be the third derivative of 3*c**7/70 + 13*c**5/60 + 7*c**2. What is the third derivative of i(h) wrt h? 216*h Suppose -3*s = -3*z - 27, 5 - 25 = 5*z. What is the second derivative of -4*y**2 + 0*y + s*y - 9*y wrt y? -8 Let i(p) be the third derivative of -7*p**5/60 - p**4/12 + 4*p**2. Find the second derivative of i(d) wrt d. -14 Let h(w) be the second derivative of -w**10/10080 + w**7/630 + w**4/3 - 3*w. Let o(x) be the third derivative of h(x). Find the third derivative of o(m) wrt m. -180*m**2 Let p be 72/42*1*7. Differentiate -24*m + 4 + 16*m + p*m with respect to m. 4 Let b(g) be the second derivative of -1/15*g**6 + 0 + 0*g**2 + 0*g**3 - g + 0*g**5 + 1/12*g**4. What is the third derivative of b(f) wrt f? -48*f Let b(i) be the second derivative of -i**7/42 - 5*i**4/12 - 6*i. Find the third derivative of b(s) wrt s. -60*s**2 Let b(f) be the third derivative of 1/8*f**4 + 0 + 0*f + f**2 - 1/3*f**3. Let s(a) = -a + 1. Let k(z) = -b(z) - 4*s(z). What is the derivative of k(h) wrt h? 1 Let m(a) = 21*a**3 - 124*a**2 - 27*a + 44. Let h(o) = 4*o**3 - 25*o**2 - 5*o + 9. Let j(b) = -11*h(b) + 2*m(b). Find the second derivative of j(i) wrt i. -12*i + 54 Let r(k) = k**3 - k**2 - k + 2. Let a(s) = s**3 + 5*s**2 - 5*s + 6. Let p be a(-6). Let l be r(p). Differentiate 5 - l - 1 + 4*f**3 - f**3 wrt f. 9*f**2 Let j = -1 - -1. Suppose -6 = -3*i - 3*c + 6, j = 3*i + 4*c - 11. Find the second derivative of 3*q**i - 2*q + q**4 - q**4 wrt q. 60*q**3 Suppose -5*o - 1 = 4*t, -20 = -5*o + 2*t + 3. Let i = 5 - o. What is the second derivative of 3*x**2 + x - i + 2 wrt x? 6 Let z(h) be the third derivative of -17*h**6/60 - 7*h**4/12 + 5*h**2. What is the second derivative of z(l) wrt l? -204*l Differentiate -11 + 81*q**2 + 83*q**2 - 165*q**2 - 2*q**3 with respect to q. -6*q**2 - 2*q Let a(n) = -n + 3. Let c be a(3). Suppose c = -0*f - f. Find the first derivative of 4*h + f - h + 2 wrt h. 3 Suppose -n = -4*o - 0*o - 7, -3*o - 18 = -5*n. Find the second derivative of -6*b**3 - n*b + 3*b**4 + 5*b**3 + b**3 wrt b. 36*b**2 Let b(o) be the first derivative of -o**9/504 + o**5/20 + 2*o**3/3 + 1. Let p(z) be the third derivative of b(z). What is the second derivative of p(c) wrt c? -120*c**3 Let p(k) be the second derivative of -2*k**7/21 + k**4/2 + 4*k. What is the third derivative of p(m) wrt m? -240*m**2 Let p(u) be the second derivative of -3*u**5/10 - 9*u**2/2 + 2*u. Differentiate p(k) with respect to k. -18*k**2 Let m = -3 + 5. Differentiate 3*w**3 + 5 + 4*w**m - 4*w**2 + 1 with respect to w. 9*w**2 Let r = -11 + 6. Let d = r - -10. What is the second derivative of d*i - 3*i + 4*i**2 - i wrt i? 8 Let x(k) = -20*k**4 + 3*k**3 - 3*k**2 + k. Let i(t) = 59*t**4 - 8*t**3 + 8*t**2 - 2*t. Let r(u) = -3*i(u) - 8*x(u). What is the second derivative of r(m) wrt m? -204*m**2 Suppose 5*q = -p - 15, -2*q = -3*p - 6*q - 12. Suppose -3 = -n - p*n. What is the second derivative of 3 - 3 + 2*b**n + 2*b wrt b? 12*b Let f be 4/(2/(-5)*-5). What is the second derivative of 2*n - 13*n - n**f - 3*n**2 + 8*n wrt n? -8 Let u(f) = -7*f**2 - 22*f. Let x(c) = -7*c**2 - 22*c. Let l(s) = -2*u(s) + 3*x(s). What is the second derivative of l(o) wrt o? -14 Let a(h) be the first derivative of 5*h**4 - 34*h - 29. What is the first derivative of a(f) wrt f? 60*f**2 Suppose 5*b - a - 12 = 35, 5*a = -b + 25. Let i be (-53)/(-11) + b/55. What is the third derivative of 3*r**5 + r**2 - i*r + 5*r + 0*r**5 wrt r? 180*r**2 Let n(p) be the second derivative of 0 - 4*p - 1/12*p**4 + 0*p**2 + 0*p**5 - 1/21*p**7 + 0*p**3 + 0*p**6. Find the third derivative of n(i) wrt i. -120*i**2 Let w be -1*(1 - (-1 - -3)). Let g = -1 - -2. Differentiate -g + 0 + d - w with respect to d. 1 Let y(l) = 13*l**4 - l**3 - l**2 - 5*l + 1. Let k(u) = u**4 - u**3 - u**2 + 1. Let d(h) = -k(h) + y(h). What is the second derivative of d(g) wrt g? 144*g**2 Let y(i) be the second derivative of -11*i**5/10 + 5*i**4/12 - 16*i. What is the third derivative of y(j) wrt j? -132 Let p(k) = k**2 + 1. Let v be p(-2). What is the second derivative of 3*f**2 + f**5 + f - 3*f**2 + 3*f**v wrt f? 80*f**3 Let u(d) be the third derivative of 0*d + 7/24*d**4 + 1/12*d**6 + 0*d**5 + 0*d**3 - 6*d**2 + 0. What is the second derivative of u(g) wrt g? 60*g Let t(f) be the second derivative of -f**7/21 - 5*f**3/6 - 12*f. What is the second derivative of t(s) wrt s? -40*s**3 Let d = 7 + -7. What is the second derivative of d*x + 2*x + 2*x**5 + 0*x + 0*x wrt x? 40*x**3 Let i be (-2)/4 + 1/2. Let k(a) be the third derivative of
{ "pile_set_name": "DM Mathematics" }
)/(-10). List the prime factors of z(g). 13 Let c(o) = 11 - o - 11 - o. What are the prime factors of c(-9)? 2, 3 Suppose -2*z = 2*b - 2, -5*z - 3*b - b + 7 = 0. Let s(u) = u**3 - 2*u**2 + 3*u - 4. List the prime factors of s(z). 2, 7 Suppose 12 = 3*h + h. Let j(o) = -o**2 + 7*o - 3. Let x be j(5). Suppose -16 + x = -h*g. What are the prime factors of g? 3 Suppose -3*p + 56 = -p. List the prime factors of p. 2, 7 Suppose 0 = -5*k + h + 30, 4*k + 5*h = k + 18. Suppose -u + k = 2. Suppose 5*t - u = 46. What are the prime factors of t? 2, 5 Let l = 8 + 31. Suppose 4*x - 5*p - 114 = -l, -15 = 5*p. What are the prime factors of x? 3, 5 Suppose 0 = -p - 3*p + 204. Let r = -36 + p. Suppose 0*i + r = i. List the prime factors of i. 3, 5 Suppose -4 = -3*w + 2. What are the prime factors of w? 2 Let a(k) = -k - 2. Let x be a(-1). Let z = x - -4. What are the prime factors of z? 3 Suppose 3*p - 3*s - 612 = 0, -3*p + 5*s - 4*s + 618 = 0. What are the prime factors of p? 3, 23 Suppose -5*f = -2*i + 163, 0 = 2*f - 5*i + 35 + 47. Let s = 60 + f. What are the prime factors of s? 29 Let o = -3 + 5. Suppose 10 = 3*t + o*t. What are the prime factors of t? 2 Let b be (6 - 2)*(-3 + 4). Suppose 43 = b*p - 1. What are the prime factors of p? 11 Suppose -2*n = -5*y - 32, -5*y - 14 = -2*n + 3*n. Let d be n/(-4)*(-84)/(-9). Let f = d + 22. What are the prime factors of f? 2 Suppose 3*r = u + 18, 1 = -2*r + 5. Let c be (u/(-16))/(2/56). Let l = c + -9. What are the prime factors of l? 2, 3 List the prime factors of (-256)/(-6) - 4/6. 2, 3, 7 Let h be 2/(-4)*1*0. Suppose -a - a + 8 = h. List the prime factors of a. 2 Let y be (1 - 12) + (-1 - -2). Let f = y + 40. Suppose -2*i + 5*i - f = 0. What are the prime factors of i? 2, 5 Let x(q) = 50*q**3 - 2*q**2 + 2*q - 1. Let g be x(1). Suppose g = 5*b - 21. What are the prime factors of b? 2, 7 Suppose 5*a + 21 = 2*z - 0*a, 10 = z - 2*a. Suppose -4*x + z = -0*x - 2*l, -4*x + 14 = l. List the prime factors of x. 3 Suppose 0 = 4*z - 0*z - 112. What are the prime factors of z? 2, 7 Suppose -r - 20 + 159 = 0. Let w = r + -97. List the prime factors of w. 2, 3, 7 Suppose 0*x = 2*x - 4, 2*i + x - 6 = 0. Suppose 0 = -q - 2*o + 40, i*o = 10 - 2. What are the prime factors of q? 2 Let l(f) = -3*f + 3. List the prime factors of l(-5). 2, 3 Suppose -3*v - 5*r + 6 = -10, 5*v = -3*r + 16. Let o = v - -1. What are the prime factors of o? 3 Let s(y) = -2*y**3 - 5*y**2 + 5*y + 5. Suppose -7*k = -2*k + 20. List the prime factors of s(k). 3, 11 Let t = -4 + 68. List the prime factors of t. 2 Let c = 3 - 1. Let y(t) = -5*t - t + 3*t**2 + c*t. What are the prime factors of y(3)? 3, 5 Let w = 80 + -26. List the prime factors of w. 2, 3 Suppose 4*d = 10*d - 12. List the prime factors of d. 2 Let i = 9 - 24. Let v = i + 18. List the prime factors of v. 3 Let b = -2 + 7. What are the prime factors of b? 5 Let l = -19 - -22. Suppose -m - 11 = -5*d, 2*d - 5 = l. What are the prime factors of m? 3 Let f(b) = 3*b**2 - 5*b + 5. What are the prime factors of f(4)? 3, 11 Let w = 259 - 138. List the prime factors of w. 11 Let p(b) = b**3 + 3*b**2 + b. Let z be p(-3). Let a be 8/z*(-27)/(-12). Let c(m) = m + 10. List the prime factors of c(a). 2 Let i(w) = -10*w**3 + 2*w**2 + w - 3. What are the prime factors of i(-2)? 83 Suppose -3*m + 9 = -m - 3*g, -5*g + 10 = 5*m. Suppose -3*a = m*o - a + 11, -5 = 2*o - a. Let u = o - -11. List the prime factors of u. 2 Let w = -23 - -45. Let h be (-1)/3 + (-43)/(-3). Let s = w - h. What are the prime factors of s? 2 Let g(o) = o**3 + 11*o**2 - 9*o + 6. What are the prime factors of g(-5)? 3, 67 Let g = 48 - 45. What are the prime factors of g? 3 Let z = 24 - 18. Suppose -l = 3*l - 4*h - 12, 3*h + 15 = -3*l. Let g = z + l. List the prime factors of g. 5 List the prime factors of (-141)/5*(-14 - -4). 2, 3, 47 Suppose -2*m - 3*m + 25 = 0. Suppose 0 = -4*g + m*s, 0*g + 5*s = -3*g. Suppose g*q - 9 = -q. What are the prime factors of q? 3 Let b(z) = -z**3 - 7*z**2 + z + 9. Let p be b(-7). Suppose 3*u - 13 = -x, p*u = 4*x - 2*u - 20. List the prime factors of x. 7 Suppose 5*m - 4 = -a + 6, 2*m = -5*a + 4. Suppose -r = 2, 5*g - 43 = -a*g + 4*r. What are the prime factors of g? 7 Let w(q) = q**2 + 20 - 17*q - 4*q - 2*q**2 + 0. List the prime factors of w(-20). 2, 5 Suppose -c - 68 + 9 = -2*p, p + 4*c = 34. What are the prime factors of p? 2, 3, 5 Let i = -58 - -93. List the prime factors of i. 5, 7 Suppose -3*i = i. Let j = 0 - i. Suppose -4*z - 5*a + 58 = j, 5*a = -z + 4*a + 14. List the prime factors of z. 2, 3 Suppose -4*t + 2*j = -138, -3*t + 4*j - 132 = -7*t. What are the prime factors of t? 2, 17 Let j(b) = 10*b**3 - 2*b**2 - 3*b + 2. Let p be j(2). Let m be (-4)/10 - p/(-20). Suppose m*c + 4*r = 3, 3*r - 8 = -c + 4*r. What are the prime factors of c? 5 Suppose 0 = 2*j - u - u - 288, -2*j + 276 = -5*u. What are the prime factors of j? 2, 37 Suppose -4 - 5 = -5*n + 3*i, 0 = 4*n - 3*i - 9. Suppose -v + 2 + 6 = n. Suppose 4*o = u + 37, v*o - 3*o - 47 = 2*u. List the prime factors of o. 3 Suppose -4*q = -4*y - 560, 4*y + 696 = 2*q + 3*q. List the prime factors of q. 2, 17 Let r(z) = z**3 + 9*z**2 - 22*z + 3. Let v be r(-11). Suppose -5*g + 4*g + 3 = 0. Suppose 2*s = 4*i + 28, -4*s + 4 = -v*s + g*i. List the prime factors of s. 2, 5 Let v(h) = h**2 + 4*h + 7. Let d be v(-8). Suppose x + x + 5*t = 39, 0 = 3*x + t - d. List the prime factors of x. 2, 3 Suppose 2*t = -2*y + 192, 0*t + 288 = 3*y - 3*t. List the prime factors of y. 2, 3 Let v be (108/(-8))/((-6)/8). Let p be (-8)/12*v/(-4). List the prime factors of 5 - (-3)/(p*-1). 2 Let m(b) = -b**2 - 16*b - 5. List the prime factors of m(-14). 23 Suppose 2*u - 138 = 46. List the prime factors of u. 2, 23 Let h be (-32)/(-12)*6/4. Suppose -6*l + 2*l - 2*x = -12, h*x + 20 = 3*l. Suppose 5*d - 46 = l. List the prime factors of d. 2, 5 Let w be (-4)/14 - (-37)/7. Suppose w*u = 4*u + 32. Suppose 4*b + 5*q - 28 = 5, 4*q - u = -4*b. What are the prime factors of b? 7 Suppose r - 2*r = -c + 7, 4*c - 2*r = 26. List the prime factors of c. 2, 3 Suppose 3*g - 7 = -1. Let d be 6/(6/g) + 9. Let a = d + -2. What are the prime factors of a? 3 What are the prime factors of ((-18)/(-10))/((-9)/(-30)) - -2? 2 Let l(y) = y + 1. Let d = 3 + 9. Suppose 3*i - 7*i + 5*q = -13, 0 = -3*i + 3*q + d. List the prime factors of l(i). 2 Let h(d) = -3*d - 3. Let r be h(-2). Suppose 4*u - 2*m = 58, 2*u + 0*u - 27 = r*m. What are the prime factors of u? 3, 5 Suppose 3*o - 4*v - 90 = v, 0 = -5*o + 5*v + 140. List the prime factors of o. 5 Let h be -6 + 10 - 1*-2. Suppose -4*l + 5*d + 21 = 0, -2*l + 5*d + 10 = -3. Suppose h*b = 4*b + l. List the prime factors of b. 2 Suppose 2*s - 67 = 17. What are the prime factors of s? 2, 3, 7 Suppose 3*y = -4*l + 80, -20 = -y - 4*y. Suppose 2*c + 20 = 5*z - 48, -32 = -2*z + 2*c. Let g = l - z. What are the prime factors of g? 5 Let c(r) = 7*r**3 - 2*r**2 - 4*r + 5. What are the prime factors of c(2)? 3, 5 Let i(x) = -59*x - 3. What are the prime factors of i(-2)? 5, 23 Let j = -29 + 41. Suppose j = m - 3*f + 4*f, 5*m = f + 90. List the prime factors of m. 17 Let j be (-303)/(-9) + 4/(-6). Let a be (-2)/11 - 588/j. List the prime factors of a/7*14/(-3). 2, 3 Suppose -148 = 3*a - 4*y, 0*a + 124 = -3*a - 2*y. Let o = -19 - a. List the prime factors of o. 5 What are the prime factors of (-1)/4 + (-3115)/(-28)? 3, 37 Suppose 2*h + n - 4*n = 195, -2*h - 2*n = -190. List the prime factors of h. 2, 3 Let u be 3/(-9) + (-201)/(-9). Suppose 3*m = w + u, -m + 18 = 4*w + w. List the prime factors of m. 2 Let l = 45 - 11. What are the prime factors of l? 2, 17 Let y(h) = -h**2 + h + 1. Let t(l) = -2*l**2 + 9*l - 3. Let u(n) = t(n) - y(n). List the prime factors of u(7). 3 Let y(r) = -r**3 - 5*r**2 - 4*r. Let d be y(-5). Suppose s = -4*s + d. Suppose -m + 0 = -s. List the prime factors of m. 2 Let u = -10 + 6. What are the prime factors of (-6)/u*64/12? 2 Let j(k) = -k**3 + 9*k**2 - 7*k - 3. Let s be j(8). What are the prime factors of -1 + 2 + (s - 0)? 2, 3 Suppose 3*j = 7*j - 20. Suppose 0 = -4*k + 4*z + 96, 5*k + j*z - 174 = -24. What are the prime factors of k? 3 Suppose -2*p - 3*p + 17 = d, -2*p - 5*d + 16 = 0. List the prime factors of ((-2)/p)/(4/(-18)). 3 Suppose 0 = 3*g + h -
{ "pile_set_name": "DM Mathematics" }
h))**18 assuming h is positive. h**(-2160/31) Simplify (b**(-1/6)/b**(5/2))/((b*(b*b*b/(b*b**(-2)/b))/b*b)/(b/(b*b**(-4))))*((b*((b**(1/9)/b)/b*b)/b)/(b*b/b**(-1/4)))**(-28) assuming b is positive. b**(749/9) Simplify (g**1)**(-41)/(g*g/((g**(-1/3)*g)/g)*g*g)**(11/3)*(g**1)**(-2/39)*g*g**(1/4)/g*g/((g/(g*g/g**0))/g) assuming g is positive. g**(-25127/468) Simplify (m**0)**(-6/23)/(m*m*m**1/m)**43*((m/(m**1/m))/((m*m**(1/6))/m))/(m**(-2/21)/m*m**(-2)) assuming m is positive. m**(-1149/14) Simplify ((q*q**0)**(-2/5)/(q*((q*q**(2/17))/q)/q)**(2/19))**7 assuming q is positive. q**(-4662/1615) Simplify (z**(2/9)*z**3/z)**14/((z**(2/9)*z*z**5)/(z**(5/2)/(z*z/((z/z**(-2/5))/z)))) assuming z is positive. z**(2321/90) Simplify ((k**0)**(-2/9)*(k*k**0)**(-2/7))/(((k/((k*(k/(k*k/(k/k**(2/9))))/k)/k))/k*k)**(7/9)/((k/k**(-8))/k**(3/5))) assuming k is positive. k**(18104/2835) Simplify ((k**(-5/4)*k**(-2))/(k**10)**(1/4))**26 assuming k is positive. k**(-299/2) Simplify (n/n**28*n**(2/23)/n*(n**(-2/17)*n)**(-48))**(-1/12) assuming n is positive. n**(4579/782) Simplify ((m/(m**(1/5)/m))/(m**2/m))/(m*m**(2/5)*m*m*m/(m**(-2/3)*m))*((m**1)**(-23/5))**(22/3) assuming m is positive. m**(-37) Simplify ((o**(-1/3)*o**(1/2))/((o**6/o)/(o/(o*o/o**3))))/(o**(-2/19)/o**(-1/4)*(o**(2/3)/o*o)/o**7) assuming o is positive. o**(255/76) Simplify (k**1*k/(k/(k/k**3)*k*k))**(-17/3)*k/(k/k**7*k)*(k**(1/3)/k)/k*(k**(-2/11)/k)/(((k*k/(k/k**(-1/4)))/k*k)/k) assuming k is positive. k**(2693/132) Simplify ((f**8*f**(1/25))**(2/13))**48 assuming f is positive. f**(19296/325) Simplify ((x**(-3)/x*x/(x*x*x*x**40))/(x*(x/(x/(x*x*x/x**(-5)*x*x)))/x*x)**(-48))**(-13) assuming x is positive. x**(-6266) Simplify (g**(2/5))**(3/7)/(g**(-2/9))**(2/19)*(g**11/g*g*g**14)**(-2/9) assuming g is positive. g**(-32084/5985) Simplify ((t**(-2/9)/t)**(-23/3)*t**5/t**(-1/2))/((t**(2/3))**(-1/62)*(((t/(t**(-2)*t))/t)/t)/(t*t**(-4/3))) assuming t is positive. t**(24353/1674) Simplify (f**0/f)**11/(f**(1/4)/(f/f**4*f))*(f**1)**8*(f**0)**(-11/2) assuming f is positive. f**(-21/4) Simplify (((b*b**19)/(b*b**(-15)))**(1/21))**16 assuming b is positive. b**(544/21) Simplify ((c**4/c)/((c/c**(5/6))/c)*c**(-3)/((c**(-1/7)*c)/c))/((c*c**(-1)*c)**(6/11)/(c**(-2/7)*c*c**(-1))) assuming c is positive. c**(67/462) Simplify ((u*u**25*u)/(u*u**(1/31))*(u/((u/(u*(u**(16/5)/u)/u*u)*u)/u)*u)**(-29))**(-4/27) assuming u is positive. u**(59416/4185) Simplify ((j**8*j)/j**(-5)*(j*j*j/j**1)**(-11))**24 assuming j is positive. j**(-192) Simplify (((m**(-10)/(m**(-2/15)*m))/((m**(-5)*m)/((m/((m**(-1/6)/m)/m))/m)))**19)**32 assuming m is positive. m**(-14288/5) Simplify ((k/k**(-2/5))**16)**(-19)*k**(-5)*(k*k/k**(-1/3))/k*(k/k**(-3/2))/(k**(-1/2)*k) assuming k is positive. k**(-6409/15) Simplify (((y/(y/((y**(2/99)*y)/y)))/(y/(y*y**(12/11))))/((y*y**(2/71)*y*y)/(y*y*y/y**38)))**(-2/27) assuming y is positive. y**(47180/17253) Simplify (c**(-1)*((c*c**(-6))/c)/c*c)/(c**(-2))**42*c**6/c*c*c*c/c**(-3/7)*(c**(2/5))**(3/11) assuming c is positive. c**(32932/385) Simplify ((((l/(l**0*l)*l)/l)**(-31)*(l*l**(-1))/(l**(1/6)/l))**37)**(-47) assuming l is positive. l**(-8695/6) Simplify (d**(2/3))**(-25)*d**(-8)/d**3*(d/(d**(-8)/d))/(d/d**(-2/25))*(d*d*d/(d/d**(1/2)))**(-1/7) assuming d is positive. d**(-20059/1050) Simplify (h**(-21)*h*h*h**(6/13)*h)/(((h/h**(-2/29))/h)/h**(-2/7)) assuming h is positive. h**(-47220/2639) Simplify ((t**(-2/3)*t)**(-47/3)/(t**(-1)/(t**(-1/4)*t*t)))/(t/((t*t**(-16))/t*t*t)*(t/(t*t**15))/t)**(-1/36) assuming t is positive. t**(-5/2) Simplify (n**32/n*n**(-34)*(n*((n/n**(2/21))/n*n)/n)**(-1/7))**(4/11) assuming n is positive. n**(-1840/1617) Simplify (((b**(2/3)/(b**1/b*b))/((b**(2/7)*b)/(b*b**4)))**9)**24 assuming b is positive. b**(5112/7) Simplify (t**(-10)/(t**25/t)*(t**(3/2)*t)/(t*t/(t*t**(4/5)*t)))**(6/11) assuming t is positive. t**(-921/55) Simplify ((f**(-2/9)*f)**(10/7)*((f**(-1)*f*f)/f)/f**(-2/5))/(((f*f**4)/f)**(-32))**36 assuming f is positive. f**(207428/45) Simplify (l/(l**28/l)*l)**(-6/17)*l*l*((l**(-13)*l)/l)/l*l**(-11/6) assuming l is positive. l**(-511/102) Simplify (((r**(1/3)*r)/(r/r**(-5)))/(r*r*(r**(1/4)/r)/r)**(7/3))/((r**7/((r*r**(-6)*r)/r))/(r/r**(-7)*r/r**3)) assuming r is positive. r**(-45/4) Simplify (i**(6/35)*i**(-8/15)*(i**32*i)/(i*i**42/i))**(-34) assuming i is positive. i**(33422/105) Simplify ((o/o**(2/3))/(o/o**(-1)))/(o**(-2/7)*o)**(32/7)*(o/((o**0/o)/o)*o**1)**45 assuming o is positive. o**(25735/147) Simplify ((q*q*q*q/((q/q**(-1/2))/q*q*q)*q)**(-32))**6*((((q/(q*(q/(q*q**(-2/7)))/q))/q)/q)/q)**(3/22)/((q*q**4)/q**(-4)) assuming q is positive. q**(-37677/77) Simplify ((t*t**(1/4))**(-9)*(t**1)**47)/((t**(2/7)/t*t**(-2/3))/(t**(2/15)*t**(-6)/t)) assuming t is positive. t**(4237/140) Simplify ((a*a**(-5)*a)**1*(a/((a**(-4/11)/a)/a*a))**45)**(2/75) assuming a is positive. a**(758/275) Simplify ((m**(1/6)*m)/m*m*m**6)**(9/5)/((m*m**0/m*m*((m/(m/m**(-4)))/m)/m)/(m/(m*m/(m**(-6)/m)*m)*m*m/(m/(m/m**(-1/5)))*m)) assuming m is positive. m**(121/10) Simplify (l**(1/37)*l*l**(2/11)/l*(l/((l**1*l)/l)*l)**46)**11 assuming l is positive. l**(18807/37) Simplify (v*v*(v/v**(-7/3))/v*v**2*(v*v/(v*v**(-2/35))*v*v)/v**(13/5))**(-10/17) assuming v is positive. v**(-1426/357) Simplify ((d*d/d**10)**(-7/2)*d**(3/11)/(d/d**(12/13)))**(3/34) assuming d is positive. d**(6048/2431) Simplify ((j*j*j**13)/((j/j**(1/3)*j*j*j*j*j)/j)*j/(j/j**(-6/13))*((j**(10/13)*j)/j)/j*j)**(-29) assuming j is positive. j**(-12035/39) Simplify (x**5*x*x*x*x/x**(1/5))**36*(x*x/(x/x**(-1)))**(-12)/(x*x/(x**(-2/9)*x)*x*x**7) assuming x is positive. x**(13841/45) Simplify (((d**(-1/2))**(-19/2)/(d**(-2/13)/(d*d/(d/((d*d**(-8))/d)))))**2)**(-3/4) assuming d is positive. d**(327/104) Simplify (q**(-5)/q**(-3/7))**(21/2)*((q/q**(-4)*q)/(q/((q*q**1)/q)))**(-1/7) assuming q is positive. q**(-342/7) Simplify k*k**(-8)*k**(1/3)*k*((k*k**(-16))/k)**(3/34) assuming k is positive. k**(-361/51) Simplify ((t/(t**(-1/2)*t))**(1/18))**17*((t/(t/t**(-2))*t)**(-9))**40 assuming t is positive. t**(12977/36) Simplify ((x**(1/3)*x**8)/(x*x**(7/5)*x**(-1/5)))/((x*x**(-1/3))**20*x**(-1/6)/(x**(-3/2)*x)) assuming x is positive. x**(-113/15) Simplify (g/(g/g**(5/3))*g*(g**(-2/7)/g)/g*g*g/(g**(-5/2)/g)*g**2)/((g**(-2/11)*g/g**(-1/5))/((g/(g*g/g**5))/g**1)) assuming g is positive. g**(22783/2310) Simplify (y**(-6/11)/(y/(y**(5/3)/y)))**(-37)/((y**0)**(1/4)*(y/(((y*y**1)/y)/y))**32) assuming y is positive. y**(17/33) Simplify m**(-1)*m/m**(-4/5)*m**(2/7)/m**(-4/3)*((m/(m*m**(-1)))**22)**(5/13) assuming m is positive. m**(14852/1365) Simplify (c*(((((c**(-5)*c)/c*c*c)/c)/c)/c)/c*c**(-1)*c)/(c**(1/2)*c*c**1/c*c)*(c**0)**32/((c/((c*c**(-1/6))/c))/c**(-2)) assuming c is positive. c**(-35/3) Simplify (b**(-3)/b**(1/3)*(b/(b*b*b*b*b*b*b**14*b*b))/b*b*b*b/b**24)**42 assuming b is positive. b**(-1946) Simplify (((v**(-5)*v)/v)**(2/11)/(v**(-1/10)/v*v*v**(-10)))**(-18) assuming v is positive. v**(-9099/55) Simplify (y/(y**(2/7)*y*y)*y)**(1/18)/(((y**(1/9)/y)/y*y)/(y/y**6))*(y**(-3)*y*y**(-1/4))**(-2/27) assuming y is positive. y**(-499/126) Simplify (p/(p*p**0)*p**(-2/5)/p)**(16/7)*p**(2/7)/(p*p*p**(2/19)*p)*(p*p**(-2/17))/((p/(p*p*p**(-2/13)/p))/p) assuming p is positive. p**(-630633/146965) Simplify ((j/j**(2/19)*j**5/j)/(j**(-2/9))**(-26/5))/(j*j/(j*j**(8/7))*(j/j**(2/7)*j)/j*j)**(-49) assuming j is positive. j**(69032/855) Simplify (((f/(f**(-17)/f*f))/f**(5/7))/((f*(f/((f*f/(f*f/(f*f**(2/5)*f))*f*f)/f))/f*f*f)/((f/f**0)/f)))**(-28) assuming f is positive. f**(-2476/5) Simplify ((p**(-2))**(11/3)*(p/p**(-2/7)*p)**(-2/73))/((p*(p*(p**(-2/33)/p)/p*p*p)/p)/(p/((p/(p**(-11)*p)*p*p)/p)))**24 assuming p is positive. p**(-4956734/16863) Simplify (x**9/(x*x*x**5*x)*(x**1*x)/(x**(-10)/x*x))**(4/15) assuming x is positive. x**(52/15) Simplify ((m/(m/m**(-1/2)))/m**(4/5))**(5/7)*m/(m/m**8)*m**(-7)*(m**(2/3))**(2/35) assuming m is positive. m**(23/210) Simplify (((f/(f**(6/7)*f))/f)**29*(f**(6/5)*f)**37)**(-2/59) assuming f is positive. f**(-1928/2065) Simplify ((k*k**(2/3)*k/k**(-7))/(k**2*k)**31)/((k*k**(1/3))**(-13/5))**(2/31) assuming k is positive. k**(-12882/155) Simplify (u**(-9)/u*u**15)/(((u/u**(-1/9))/u)/(u*u**(-1/4)*u)) assuming u is positive.
{ "pile_set_name": "DM Mathematics" }
lse Suppose 2*p + 2 = -y, -5*p = -0*y - 2*y - 13. Let n = p - -3. Is n at most as big as 2? False Let c(t) = -2*t**2 + 4*t + 5. Let o be c(-1). Which is smaller: 8/41 or o? o Let h(s) = -s**3 - 18*s**2 - 3*s + 2. Let j be h(-18). Is 57 less than j? False Let q = 2 - 11. Let c be (-4)/(-18) + 4/q. Which is bigger: c or 0? 0 Let j = 166/99 - 1/99. Is 2 less than or equal to j? False Let u be ((-8)/(-40))/(2/(-12)). Which is bigger: u or 0? 0 Let x = -1 + 7. Let q = -5 + x. Which is greater: q or -0.1? q Let k be (-1 - 0)*(2 - 1). Let v be ((-7)/45)/((-94)/(-48)). Let q = 10/47 + v. Which is greater: k or q? q Let t = -9.3 + 9.38. Is -0.01 equal to t? False Let q be -4 + 4 - (-5 - -2). Suppose 0 - 6 = q*d. Is d less than 0? True Suppose 4*q - 4 = 2*f + 6, 0 = 5*f - 5*q + 10. Is f greater than 5? False Suppose 2*z = -f - 7, f - 1 = z - 5. Is -1/26 greater than or equal to z? True Let x = -15 - -83. Which is greater: x or 69? 69 Suppose -4*r - a = -18, 4*a = 5*r - 6 - 6. Let j = 12 - 7. Suppose 16 = r*t, -5*k - j*t - 3 = -28. Which is smaller: k or 2/11? 2/11 Suppose -3*w = -v + 7, -v - w + 3*w = -5. Let k(b) = 9*b**2 - 2*b + 2. Let q be k(v). Is q greater than 9? False Let w = 4/22119 - -330409/7608936. Let j = w + -18/43. Which is smaller: j or 1? j Suppose -5*w + 3*v = -63, 0*w = -3*w + 3*v + 33. Which is smaller: w or 16? w Let a = 0 - 8. Let y = -4 - a. Let l = y + -5. Is l <= -2? False Let i = -27 - -62. Which is bigger: 34 or i? i Suppose 0 = 3*c + 2*d + 2*d + 2, -5*c + 50 = -4*d. Suppose -c*m = -m + 100. Let v be 3/m + 4/(-16). Which is bigger: v or 1? 1 Let u(w) = -w**2 + 8*w - 9. Let x be u(7). Let a be (-3)/x*(11 + -9). Suppose 1 = 5*b - 5*k + 6*k, 0 = -a*b + 4*k - 4. Is 1 bigger than b? True Let f = 22.4 - 20. Let t = f + -2. Let b = 2.4 - t. Which is bigger: -1 or b? b Let s(g) = g**2 - 8*g + 9. Let i(f) = -6*f + 1. Let k be i(-1). Let n be s(k). Do 4 and n have the same value? False Let m(g) = -7*g**2 + 8*g + 10. Let o be m(-1). Suppose -2*x = -7*x - 20. Which is greater: o or x? x Let s = -73/45 - -7/5. Suppose 0 = -5*b + 5*q + 65 - 10, 5*q = -5. Let d be 2 - (b/2 + -2). Is s bigger than d? True Let v be 1 - 1 - (-8)/(-96). Is v <= 1? True Let z = 4 - 2. Suppose 0 = 3*q - l - 30, -4*l + 32 = z*q - 2. Let i = -11 + q. Is i != 1/9? True Let p be (4/50)/(-21 + 22). Suppose -15 = -5*b, -4*b - 1 = 3*v - 10. Which is smaller: p or v? v Let a = -2.8 + 3. Let n = 31 - 33. Is a <= n? False Suppose 3*v = -5*c - 64 - 184, 5*c - 2*v = -243. Is c < -49? False Let o be ((-1)/(2/12))/(-1). Let b(y) = y + 10. Let x(t) = t**3 - 10*t**2 + 9*t - 5. Let k be x(9). Let i be b(k). Are i and o unequal? True Let n = 0.065 + -26.065. Let y = n + 27. Which is bigger: y or -1? y Let f = 65 - 196. Let h = -521/4 - f. Is h at most as big as 0? False Let c be -2 + -2*(-201)/207. Let j = c + 182/759. Which is greater: 1 or j? 1 Let a = 46 - 47. Do 1/51 and a have the same value? False Let d be 8/(-20) - (-86)/(-10). Let f = -9 - d. Which is greater: -5/6 or f? f Let l(u) = -4*u**2 - 10*u - 10. Let o(i) = 5*i**2 + 11*i + 11. Let v(a) = 4*l(a) + 3*o(a). Let f be v(-6). Which is bigger: -2/33 or f? -2/33 Let d be (16/10)/((-6)/(-15)). Suppose 0 = -d*w + 2*c - 24, 2*c - 6*c = -2*w - 24. Do -5 and w have the same value? False Let p(w) = w - 1. Let x be p(-2). Let y be x/6*(-4 - -2). Which is smaller: -1/19 or y? -1/19 Let b be (-516)/(-20) + 2/10. Suppose -p + d = -0*d + 6, p - 5*d + b = 0. Which is bigger: -2/41 or p? -2/41 Suppose 2*h = -2*h + v - 133, 64 = -2*h - 2*v. Do 0 and h have the same value? False Let l(n) = -n + 7. Let j be (3/(-6))/(1/(-4)). Suppose 0 = -5*v + 2*o + 30, v + j*v - 5*o - 18 = 0. Let k be l(v). Is k less than 0.1? False Suppose -2 = -2*o - 2*t, 1 - 5 = -2*o - 3*t. Let m be (-13)/(-20) - o/(-4). Are 0 and m equal? False Let x be ((-8)/12)/((-4)/18). Suppose 0 = -7*s + x*s - 4. Does -2/71 = s? False Let i be -13*2/(-22) - 1. Let o = -0.2 + 0. Let w = 0.8 - o. Which is smaller: w or i? i Let l = -0.7 + 4. Let i = l + -3. Let k = i + -4.3. Which is bigger: 0 or k? 0 Let o = 0 - 2. Is -2 > o? False Let k = 6 - 2. Let r = k + -1. Is -1/2 > r? False Let m(q) = -q**2 - 6*q - 2. Let r be m(-5). Is 4 at least as big as r? True Let q(j) = j + 5. Let k be q(-4). Which is smaller: k or -1? -1 Suppose -g - 3 = -6. Which is smaller: 2 or g? 2 Let l = 73 - 77. Is -17 > l? False Let f be (3/36)/((-1)/(-3)). Let y be (-8)/(-15) - 15/75. Which is smaller: f or y? f Let u = -11.28 + 11. Let z = -1.38 - u. Is 1 at least as big as z? True Suppose q - 3*t = 3*q - 42, -5*q + 91 = 4*t. Let c be 3/q - 6/5. Let x = 0.2 + -0.4. Is c bigger than x? False Let i(l) = -l**2 + 18*l - 20. Let f be i(17). Are -1.1 and f nonequal? True Let r(q) = q - 2 - 5 + 17. Let v be r(-7). Let l = 7 - v. Which is smaller: 3 or l? 3 Let v(t) = -t + 24. Let u be v(23). Which is bigger: 1/31 or u? u Let g = 1 + 1. Let h be 0 - 4 - 371/(-63). Let l = h - 101/63. Which is bigger: l or g? g Suppose -2*b + 6*b = 0. Is b less than or equal to 1? True Let y = -0.31 + 0.41. Is y at most as big as -11? False Let v = -29 - -59/2. Let h = 4.1 - 4. Let w = h - 0.3. Is v greater than or equal to w? True Let u(f) = f**2 - 9*f - 2. Let v be u(8). Are v and -9 non-equal? True Let l = 1039 + -1034. Let i be (3/4)/(2/24). Let o = i + -4. Do l and o have different values? False Let u(m) be the second derivative of m**3/6 + 3*m**2/2 - 4*m. Let b(o) = o. Let h be b(-4). Let i be u(h). Which is smaller: -1/5 or i? i Let p = -1/86 + -1/86. Which is smaller: p or 1? p Suppose -95 = -5*r + 215. Suppose 5*g - r = -17. Is 10 at most as big as g? False Suppose 3*s - 3 = 3. Suppose s*d = 2 - 4. Do -5/7 and d have the same value? False Suppose -85*s - 11 = -84*s. Does s = -10? False Let v = -5 - -10. Let m = v - 6. Is 0.2 less than m? False Let h(b) = b**2 - 7*b - 12. Let a be h(9). Which is greater: a or 7? 7 Let w be (-676)/332 + 5 + -3. Is w <= 1? True Let t = 19 + -24. Let b = t - -5.3. Which is greater: b or 4? 4 Let f be 26/(-3 + 17/5). Let z = 98 - f. Let u be z/27 - 4/18. Is 2/3 at most as big as u? True Let w = -6/2887 - 3644/1024885. Is w smaller than -1? False Let z = 0.17 - 0.16. Which is bigger: 1 or z? 1 Let j = 1.978 + 0.022. Which is smaller: j or 2/15? 2/15 Let h = -3636/80023 - 2/1861. Which is greater: h or -1? h Let g be ((-1)/(-3) + 0)/4. Let o = -1/3 + g. Suppose -6*l = -l. Which is bigger: l or o? l Let z = -6623/25 + 265. Is z > -1? True Let p = 9 - 14. Suppose 7*f - 2*f = -40. Let a be (20/f)/(1/2). Is p <= a? True Let f(v) = -6*v**2 + 2*v - 1. Suppose -w + 0*w + 1 = 0. Let q be f(w). Let z = 3 + q. Are z and -1 equal? False Suppose 2*k = 7*k - 15. Let c be 52/6 + k/9. Let z = 13 - 5. Which is smaller: c or z? z Let g(y) = -y**2 - 2*y - 1. Let z be g(-2). Suppose -4*n + 3*u + 37 = 0, -4*u + 33 = 3*n - u. Let o be 96/(-165) - (-4)/n. Which is bigger: o or z? o Let d(x) = x**2 - 3*x - 3. Let f be d(4). Let i = -7 - -7. Let h = f - i. Which is greater: h or -2/3? h Let i(y) = -3*y**2 + 9*y - 5. Let t be i(2). Is t at most 2/87? False Let b(j) = j - 6. Let s = 9 - 5. Let i be b(s). Let v be (i/3)/((-1)/(-2)). Do v and -1 have the same value? False Suppose -l - 7 = -3*c, 4*l - 4*c + 0 = -12. Let z be l/2 - (-5)/90. Is z less than -1? False Suppose 4*d + 0*d = 12. Let y = 19 + -15. Suppose -y*z = 5*b - 0*z - 10, -4*b + 8 = z. Which is bigger: b or d? d Let l = 1 + -1. Let o = -547/15 - -110/3. Which is smaller: l or o? l Let h be (2/(-2))/(10/(-84)). Let n = 8 - h. Let q = 0.7 + -0.7. Which is bigger: q or n? q Let g(y) = -y**2 - 9*y + 14. Let z be g(-10). Suppose -3 - 5 = -z*d. Are d and 1 nonequal? True Let g = 43 - 130/3. Let s = 5 - 4.6. Let t = 0.2 - s. Which is greater: t or g? t Let m be (-3 - -5)/(0 + (-16)/(-2)). Which is smaller: -0.45 or m? -0.45 Suppose l - 72 = 4*l. Do l and -24 have the same value? True Let n(l) = l**3 - 5*l**2 + 2. Let v be n(5). Let x be v + -1 + 1 + 1. Suppose -2*s = -1 + x. Which is bigger: s or 2/9? 2/9 Let a be (-4)/30 - (2 + -2). Let o = -15 + 14.92. Let c = o - -1.08. Which is bigger: c or a? c Let f be 2 - ((-15)/7)/(-1). Suppose -2*g - 2*g - q - 47 = 0, -4*q + 16 = -g. Let o be 4/g*1*3. Which is greater: o or f? f Let q = 10 + -9. Let d be 4*(2 + 2/(-8)). S
{ "pile_set_name": "DM Mathematics" }
(d) 2 c Which is the nearest to -1/5? (a) 1/3 (b) 0.02 (c) 0.21 b Which is the nearest to -0.3? (a) -5 (b) 0.08 (c) -7 b What is the nearest to 2/9 in 4/7, -1/5, 2/25, -4? 2/25 Which is the closest to 0.1? (a) -16 (b) -1/10 (c) 1/2 b Which is the closest to 0.2? (a) -1 (b) -0.436 (c) -0.1 c What is the closest to 1 in -2, -3/4, -3, -4? -3/4 What is the nearest to -10 in -3, 1.9, 0? -3 Which is the nearest to 0? (a) 6/5 (b) 3 (c) 0.5 (d) -2421 c Which is the nearest to 1/3? (a) -2 (b) 1/2 (c) 2/11 (d) 3 c Which is the nearest to -2/3? (a) -5 (b) 0.6 (c) -2/3 (d) -0.2 c What is the closest to 0.2 in -5, 14.8, 1, 0.5? 0.5 Which is the nearest to 4/5? (a) 2 (b) -2 (c) 17 (d) -0.3 d Which is the closest to 0.6? (a) 0.5 (b) -11 (c) -0.3 (d) 4 a What is the nearest to 2 in 3, 2/3, 1/13? 3 What is the closest to 1 in -3/22, -3/2, 2/9, 2? 2/9 What is the nearest to 2/227 in -4, 4, 1.5? 1.5 What is the closest to -2 in -1, 1/6, 5/3, 4? -1 Which is the closest to 1/3? (a) 0.08 (b) 5 (c) 2/15 (d) -0.3 c What is the nearest to 1/3 in -4, 8, -0.94? -0.94 Which is the closest to -0.8? (a) 4 (b) -5 (c) -2 (d) -3 c What is the nearest to -2 in 0.8, -0.5, 0? -0.5 Which is the nearest to 1? (a) -0.5 (b) 1/66 (c) 5 b Which is the closest to 1? (a) -3 (b) 36 (c) 1/7 c What is the closest to -1/4 in -10.6, 1, -0.7? -0.7 Which is the nearest to -173? (a) 0.4 (b) -5 (c) 3 b What is the nearest to -0.3 in -2/7, -17/4, -1, 0.5? -2/7 Which is the closest to -8? (a) 4 (b) 2/43 (c) -1 (d) 1 c What is the nearest to -4/5 in -4, 0.2, 2/3, -1/3? -1/3 Which is the nearest to 1? (a) -28 (b) 4 (c) -1/10 (d) -0.5 c What is the nearest to 1 in 23, 17, -4? -4 What is the closest to 12/5 in -0.09, 5/3, 0.4, -3? 5/3 What is the closest to 23 in 3, 6/13, -2/11, -0.5? 3 Which is the nearest to -0.1? (a) 0.1 (b) -1 (c) 1/5 a What is the closest to 1 in -0.4, -0.04, -2/15? -0.04 Which is the closest to 15? (a) 2/13 (b) -3 (c) 8/11 c What is the nearest to -1/2 in 1, 4, -3, -0.7? -0.7 What is the closest to -2/5 in -5, -0.02, 2/5? -0.02 Which is the closest to -0.1? (a) 0.3 (b) 48 (c) -4 a What is the nearest to 2/7 in 0.05, -2, -1/6, 7? 0.05 Which is the closest to 16? (a) -1 (b) -7/4 (c) -0.6 c What is the closest to 0 in -3, 3.5, -4, 0? 0 What is the closest to 2/7 in -0.5, 1, 2/9, -4? 2/9 What is the closest to 1 in -4, 0.4, 0? 0.4 What is the closest to 3 in 2/19, 5, -1.3, 0.2? 5 What is the nearest to 1 in -2/11, -0.3, 15/7, -1? 15/7 What is the nearest to 0.5 in 0.2, -2/11, -0.3, -0.2? 0.2 Which is the nearest to -11? (a) -0.3 (b) -2/27 (c) -2/9 a Which is the closest to -1/2? (a) -1 (b) -6 (c) 0.5 (d) 1/3 a Which is the closest to -1? (a) 1/4 (b) -0.3 (c) 2 (d) 3/4 b What is the closest to 0 in -2/7, 0, -0.3, 0.2? 0 What is the closest to -2/5 in -3, 0, -9/2, 8? 0 Which is the nearest to -0.1? (a) -2.4 (b) -2 (c) 0.2 (d) 0 d Which is the closest to -1? (a) 1/4 (b) 0.5 (c) -0.2 (d) 0.3 c Which is the closest to 1/2? (a) 0.2 (b) 1 (c) -0.2 (d) -0.4 a What is the closest to -1 in -4, -33, 3? -4 Which is the closest to -36/7? (a) 3 (b) -2 (c) -6 c Which is the closest to 1? (a) 2 (b) -1 (c) -2/11 (d) -14 a What is the closest to -1 in 1/6, 19, 3? 1/6 Which is the closest to 3.3? (a) 1/11 (b) -4 (c) -2 a Which is the nearest to -1? (a) -6/5 (b) -2 (c) 1.5 (d) 1/5 a Which is the closest to -1/5? (a) 0.2 (b) -7 (c) -2 a What is the nearest to 2/7 in 0.1, 20, -0.4, 0.3? 0.3 Which is the nearest to -0.1? (a) -13 (b) 2 (c) 1 (d) 0.1 d What is the closest to 1.59 in -3, 0.3, -0.1? 0.3 Which is the closest to 4? (a) -91 (b) 11 (c) 0.5 c What is the nearest to 1/4 in -3, 2/5, -21? 2/5 Which is the nearest to -6? (a) -1 (b) -4 (c) -13 (d) 2/15 b Which is the closest to 0? (a) 0.14 (b) 14/25 (c) -2/11 a What is the closest to 0.1 in -3, -2, -267, -0.5? -0.5 Which is the closest to -1? (a) 2/5 (b) 2/9 (c) -0.5 (d) 0.02 c Which is the closest to 2/7? (a) -17 (b) -38/7 (c) 0.07 c Which is the nearest to -1/4? (a) 401 (b) 1 (c) -0.3 c What is the nearest to 1/2 in -0.2, -80, -1? -0.2 Which is the closest to 2? (a) 8 (b) 4 (c) -0.02 b What is the closest to -1/5 in -2, -0.3, -5, -3? -0.3 Which is the closest to -0.06? (a) 4 (b) 2/9 (c) 108 b What is the nearest to 3 in -3/4, 0, 2? 2 Which is the closest to -0.1? (a) 43 (b) 2 (c) 0.04 (d) 0.5 c Which is the closest to 0.1? (a) -80 (b) 18 (c) -1/5 c Which is the nearest to 0.2? (a) -1.64 (b) 5 (c) -1/8 (d) 0.1 d Which is the closest to -0.2? (a) -5 (b) 0.3 (c) -0.3 (d) 2/13 c Which is the closest to 0? (a) 2 (b) 448 (c) -0.9 c Which is the nearest to -2/3? (a) -2/15 (b) -4 (c) 5 (d) -3/2 a What is the closest to 0.3 in 1/2, -0.2, -1? 1/2 What is the closest to 2/7 in -0.2, -0.17, -2, 0? 0 Which is the nearest to -0.1? (a) 12 (b) -1 (c) 1/2 (d) 2 c What is the closest to 2/7 in -3/2, -2/83, 2, 0? 0 What is the nearest to 7 in 1, -2/13, 1/7? 1 What is the closest to -0.1 in 1, -5, 0.1? 0.1 Which is the nearest to 2/5? (a) -3/46 (b) 3/4 (c) 12 (d) -0.3 b What is the nearest to 0.2 in -2, 10/7, -1? -1 What is the closest to -2 in -3, 4/7, -2/13, -98? -3 What is the nearest to -1/7 in -0.2, 3, 0.4? -0.2 Which is the nearest to -264? (a) -1/3 (b) -0.2 (c) -1/6 (d) 3 a Which is the closest to 3? (a) 2 (b) -0.03 (c) -1/3 (d) 37 a What is the closest to -427 in -2, -3/4, 3/4, 4/3? -2 What is the closest to 1 in -2/11, 10, -4, 1? 1 Which is the nearest to -1/7? (a) 4 (b) -2/3 (c) -3 (d) 2/11 d What is the closest to 2/51 in 0.3, 3/4, -1/3? 0.3 Which is the closest to 1/3? (a) -44 (b) 5 (c) 4 c Which is the nearest to 0? (a) -3 (b) 2 (c) 0.5 c What is the nearest to -2/25 in 1/5, -3, 0.3? 1/5 Which is the closest to -0.1? (a) -2/37 (b) -1 (c) -0.2 (d) 3 a Which is the nearest to 1? (a) 0.14 (b) -3 (c) -5 a What is the nearest to -0.1 in 5, -1.1, 4, 0.2? 0.2 What is the closest to 2/5 in 1, 0, 0.1, 0.12? 0.12 Which is the nearest to -1/3? (a) 2 (b) 53 (c) 0.2 (d) -9 c What is the closest to -0.1 in -1/8, 5, 1/4, -0.1? -0.1 Which is the closest to 2/5? (a) 1/4 (b) 0.5 (c) 218 b What is the closest to 1 in 2, 1, 5, 14? 1 Which is the nearest to -1? (a) -3 (b) 2 (c) 15/8 a What is the nearest to -10 in -5, 0, -0.4? -5 Which is the closest to -5? (a) -1/5 (b) -1 (c) 2/7 b Which is the nearest to 0.3? (a) 3/5 (b) 4 (c) -5.7 a Which is the nearest to 0.3? (a) -5 (b) -0.2 (c) 0 (d) 4 c What is the closest to 0.3 in 76, -2, 3? -2 Which is the nearest to -1? (a) 1/4 (b) 0.1 (c) 2 b Which is the closest to -0.1? (a) -0.5 (b) 0.5 (c) -0.05 c Which is the nearest to 13/2? (a) -1 (b) -2/7 (c) -16/3 b What is the closest to -1/7 in 2, -198, -1? -1 What is the nearest to -2/5 in -3, 1.09, 0? 0 Which is the nearest to 0? (a) -1/4 (b) -5 (c) -1139 a Which is the nearest to 0.79? (a) -2/3 (b) -1/4 (c) 1 (d) -3/5 c What is the nearest to -9 in -2, -5, -0.2, -4/3? -5 Which is the closest to 1/5? (a) 0 (b) -53 (c) -2/9 (d) -4 a What is the nearest to 0.026 in -1, 2, 3, 1/6? 1/6 What is the closest to -1/2 in 12, 0.1, -3/5, -0.5? -0.5 Which is the nearest to -0.1? (a) -0.9 (b) -11 (c) -1.4 a Which is the closest to 21? (a) 4 (b) -1 (c) -1/2 a Which is the nearest to 0? (a) -6/11 (b) -1/5 (c) 0.3 b What is the nearest to 0.1 in -1, -360, -0.3? -0.3 Which is the nearest to -0.1? (a) -0.7 (b) 0.4 (c) -0.4 c Which is the closest to 1/5? (a) -5/6 (b) -1/3 (c) -87 b What is the nearest to -4/7 in 0.1, -14, 4, -5? 0.1 What is the nearest to -1/7 in -46, -1/8, 1? -1/8 What is the closest to -4 in 4/7, 43, -4, 2/5? -4 What is the nearest to -2/7 in 0.121, -18, 0.1? 0.1 What is the nearest to -1/4 in 2/5, 7.5, 2, -0.3? -0.3 What is the closest to -9 in 0.103, -3, -0.5? -3 Which is the closest to -2/5? (a) -0.2 (b) -1/11 (c) -2 (d) 5/3 a What is the nearest to -0.03 in -0.2, 0.4, -55? -0.2 What is the nearest to -0.1 in 2195, -0.2, 0.5? -0.2 What is the closest to -9 in 0, -3, 0.5? -3 What is the closest to 1 in -4, -3, 0.02? 0.02 Which is the nearest to 0.66? (a) 0 (b) 4 (c) 2 a Which is the closest to 0.0643? (a) -1/7 (b) 4 (c) 0.5
{ "pile_set_name": "DM Mathematics" }
uming q is positive. q**(-1585/56) Simplify a/a**15*(a*a**(-19))/a*a**(2/5)/(a*a**(-5)*a) assuming a is positive. a**(-148/5) Simplify (s/(s*s**(-2)*s))/(s**(-8/11)*s)*(s/s**(-14))/s**(23/3) assuming s is positive. s**(266/33) Simplify ((g**(-1/11))**(17/4))**(1/26) assuming g is positive. g**(-17/1144) Simplify (a**(2/17))**48*a**(2/17)/(a*a*a*a*a*a**21*a*a) assuming a is positive. a**(-378/17) Simplify ((q*(q/q**(3/10))/q*q/(q/q**(-5/3)))**(-2/17))**(-33) assuming q is positive. q**(-319/85) Simplify g/(g*g**(6/11))*g**(-15)*g**(2/15)*g/g**(-12/5) assuming g is positive. g**(-1982/165) Simplify d/(d**7/d)*d**15*d*(d*d/(d*d**(-3/10))*d)/d*d**(1/5) assuming d is positive. d**(25/2) Simplify (a**6/a*a**(16/7))**10 assuming a is positive. a**(510/7) Simplify ((t*t**(-1))**41/(t/(t/t**(1/2)))**7)**(-33) assuming t is positive. t**(231/2) Simplify (a**1/(a*a**(1/4)))/(a**(-2/13))**27 assuming a is positive. a**(203/52) Simplify (u**(-4)*u)**(8/9)*u**(-2/43)*u**9 assuming u is positive. u**(811/129) Simplify y**(-9)*y/(y**(1/15)*y)*(y/y**4)**(-3) assuming y is positive. y**(-1/15) Simplify (z**4/z*z**(-4)*z*(z/(z/z**(-1)))/(z/((z*z**0*z)/z*z)))**(-5/4) assuming z is positive. 1 Simplify ((g/g**4)/g**5)/(g*g**(-6/11)*g*g*g)**(-8) assuming g is positive. g**(216/11) Simplify (t**(-3/2))**(2/23)/(t*t**5*(t/(t*t*t**(-13/2)))/t) assuming t is positive. t**(-489/46) Simplify (((t/t**(2/23))/t)/t**(-18))**(-1/11) assuming t is positive. t**(-412/253) Simplify (z**(17/3))**10/(((z*z/(z**(1/8)*z*z))/z)/((z*z**(-7))/z)) assuming z is positive. z**(1219/24) Simplify (m*m/(m**(-7)*m)*m**(1/10))/((m*m/m**(-4/3))/(m/m**(-2/25))) assuming m is positive. m**(877/150) Simplify v*v**(-1/5)*v*v**12*v*(v*v**(3/8)*v)/v*(((v*v**0*v*v)/v)/v*v)/v assuming v is positive. v**(687/40) Simplify ((i*i*i**(-14)*i)/(i**(9/4)/i*i))/(i**(-8/3))**(-10/11) assuming i is positive. i**(-2069/132) Simplify (f**(1/10)/f**(-3/4))/(f**14/f**(-3/10)) assuming f is positive. f**(-269/20) Simplify (v*((v/(v/v**(-5)))/v)/v)**(2/63)*(((v/((v*v**(-1/2))/v))/v)/v)/v*(v*v**(-13)/v)/v assuming v is positive. v**(-659/42) Simplify ((u**(-1)/u)/u)/u**(-5/9)*(u**(-2/75))**(24/7) assuming u is positive. u**(-3994/1575) Simplify (u/u**(2/27)*u*u*u/((u**(1/6)/u)/u))/((u*u/u**(-8)*u)/u**(-14)) assuming u is positive. u**(-1039/54) Simplify ((t*t*t/t**(-6)*t)/((t/(t**(1/25)/t)*t)/t))/(t**(1/12)/t**10) assuming t is positive. t**(5387/300) Simplify ((((h**(4/9)*h)/h*h*h*h)/(h**4/h))/(((h/(h*h**(-1)/h*h)*h)/h*h*h*h)/(h**(3/4)/h)))**(-18/7) assuming h is positive. h**(137/14) Simplify (((c/c**(1/3))/c)/c)**(-24/13)/(c/c**(-4))**36 assuming c is positive. c**(-2308/13) Simplify (g*g**(1/9))/g**(-1/15)*g**3/(g*g**16) assuming g is positive. g**(-577/45) Simplify ((l*l**(1/8)*l)/l)/l*l*l*l*l*(l/(l*l**(-20)))/l*l*(l**(-1/15)*l)/l*((l**3*l)/l)/l assuming l is positive. l**(3127/120) Simplify (x/x**(-13))/(x**(4/3)*x)*(x**(-3))**(-5) assuming x is positive. x**(80/3) Simplify ((t**0/t)/(t*t/(t**(1/2)*t))*(t*t**(-12)/t*t)/(((t*t**(-7))/t)/t))**29 assuming t is positive. t**(-261/2) Simplify ((((j*j**(-2/15)*j)/j)**(-22/7))**(-4))**(-4/25) assuming j is positive. j**(-4576/2625) Simplify (b/b**(1/3))**7/(b**(-1/4))**(2/81) assuming b is positive. b**(757/162) Simplify ((b*b**(3/10))/(b**(-8)*b)*(b/b**(-2/9))**(-1/6))**35 assuming b is positive. b**(7651/27) Simplify ((p**(1/6)*p**(-2/47)*p)**29)**(4/19) assuming p is positive. p**(18386/2679) Simplify ((l*l**(-12/7)*l)/l**(-2/27))/((l*(l**(-2)*l*l)/l)/(l/(l/l**(-13)))) assuming l is positive. l**(-2389/189) Simplify ((s**33/s)/(s**(-19)/s))/(((s**28*s)/s)/s)**(-13) assuming s is positive. s**403 Simplify (g**33*g*g**32)/(g**(-1/34)*g/g**(-2)) assuming g is positive. g**(2143/34) Simplify m**8/(m*m/(m*m**(-1/2)))*m**6/m*m**(-4)*m assuming m is positive. m**(17/2) Simplify (((b*b**(-1/6))**29)**(-20/7))**(-10/9) assuming b is positive. b**(14500/189) Simplify (((p*p*p**(3/8))**(-1/38))**(3/43))**(-15) assuming p is positive. p**(45/688) Simplify (z**(-1)/(z**(-2/39)/z))/(((z/z**(1/12)*z)/z)/((z*z/(z/(z*(((z*z/(z*z/(z/z**6*z)))/z)/z)/z*z*z*z)))/z)) assuming z is positive. z**(-201/52) Simplify ((b*b**9/b*b)/b)/(b*b/b**(2/9))*(b**12/b)/(b/(b*b**(-8/9)*b)*b) assuming b is positive. b**(52/3) Simplify ((r/(r/(r*r*r/(r/r**(-1/8)*r)*r)))/r**(-2/15))/((r/(((((r/(r/(r/r**(-12))))/r)/r*r)/r)/r)*r)/(r*r/r**7)) assuming r is positive. r**(601/120) Simplify (v**(-9/4)*v*v/((v**(-1/3)*v)/v))/(v*v**(-5))**(14/9) assuming v is positive. v**(227/36) Simplify (x**6/x)**(-33)*(x**1)**(14/5) assuming x is positive. x**(-811/5) Simplify (z**(4/7))**(4/9)*((z/(z*z**(1/5)*z)*z)/z)**(-10/3) assuming z is positive. z**(268/63) Simplify (z**(1/3)/z)**(-9)*((z**(-2)/z)/z*z*z)**(-5) assuming z is positive. z**16 Simplify (k**(-7)*k/k**(-6))**(-47) assuming k is positive. 1 Simplify ((s*s**(-17)*s)/s)/s*s**(-1/4)*s**16/((s/(s*s**(8/9)))/s) assuming s is positive. s**(23/36) Simplify z**3/(z**(-2/7)/z*z)*(z*z**1*z)**27 assuming z is positive. z**(590/7) Simplify ((n**0)**27/(n*n*n**6/n*n/((n/(n/(n*n/(n*n**4))))/n)))**(-48) assuming n is positive. n**576 Simplify (n/(n/(n*(n/n**(2/27))/n*n*n))*n/(n*n*n**(-1/5)*n))/(n*(n*n/n**14)/n*n/(n/n**(-8))) assuming n is positive. n**(2852/135) Simplify (u**(-13)/u)/u**(5/6)*u**(-4/17)*u/u**(-1/6)*u assuming u is positive. u**(-658/51) Simplify g/(g**(-7)/g)*g**(2/21)/g*(((g/g**(12/7))/g)/g)/g**(5/2) assuming g is positive. g**(121/42) Simplify (d/(d**(1/2)/d))**(-1/32)*((d/d**(-1/4))/d)**(-10/9) assuming d is positive. d**(-187/576) Simplify (g*g*g**5/g*(g/(g/(g/g**(-27))))/g)/(g**(5/8)*g)**(-10/7) assuming g is positive. g**(989/28) Simplify ((q**(-7)*q*q*q**(-2))/(q**(1/4)*q*q)**(-32))**41 assuming q is positive. q**2665 Simplify ((q**(1/8)*q**(2/3))/(q**(-1/3)*q**(2/13)))**(-23) assuming q is positive. q**(-2323/104) Simplify (z/(z*z**9))**(3/8)*(z**(-1/4))**30 assuming z is positive. z**(-87/8) Simplify (m*m/((m*m/m**2)/m))**(5/8)*m**5*m*m**(-3/4)*m assuming m is positive. m**(65/8) Simplify ((h*h**(2/53))/h**(1/3))/((h*h**(-2/45))/(((h*h**(-2/19)*h)/h)/h)) assuming h is positive. h**(-16151/45315) Simplify ((m**0)**(1/27)/(m**(-1/5)/(((m/m**(-3/2))/m)/m)))**(-15) assuming m is positive. m**(-21/2) Simplify (t/((t*t**31/t*t*t)/t))/(t/(t/(t/(t*t**(-1/5)/t))*t*t))*t**(-6/19)*t**(3/4) assuming t is positive. t**(-11311/380) Simplify (w/w**(-5/7)*(w**13*w)/w*w*(w**4)**(-33))**(-2/35) assuming w is positive. w**(1628/245) Simplify (u**19*u/(u**(-19)*u)*u)/(((u**(-14)*u)/u)/(u*u**(-25))) assuming u is positive. u**29 Simplify (((c/((c/(c/(c**(1/3)/c*c)))/c)*c)/c**(2/9))**(-2/51))**(-18) assuming c is positive. c**(88/51) Simplify (u*u**(-1/6))**(-1/12)*(u**0)**(3/19) assuming u is positive. u**(-5/72) Simplify ((m/((m/m**17)/m))/(m/(m*(m*m**(-2/7))/m)*m*m))/(m/(m*m**(-3))*m*m*m**(-2/3)*m*m) assuming m is positive. m**(197/21) Simplify ((q/q**(-3/10)*q)**(-2/91))**(-5/4) assuming q is positive. q**(23/364) Simplify ((k**(1/2)/(k**(2/25)*k*k))/(k*k/(k**(-3/4)/k))**(4/13))**(-15/4) assuming k is positive. k**(5331/520) Simplify (m/(m/m**(-27)))/m*m*(m/m**(-1/24))/m*(((m*m/(m**4/m))/m)/m)/(m**(3/10)*m) assuming m is positive. m**(-3751/120) Simplify (h**(2/21)/h)**(-2)*(h*h**(2/53)*h)**(-24) assuming h is positive. h**(-52418/1113) Simplify ((p**6*p**(-3/8))/(((p*(p/((p**(-6)*p)/p))/p)/p*p)/p**5))**0 assuming p is positive. 1 Simplify l*l**(-2/11)*l*l**(-1/4)*(l**(-3))**(-1/2) assuming l is positive. l**(135/44) Simplify (j**(-3/8)/(j**(7/3)*j))/(j/j**(-7)*j)**(11/6) assuming j is positive. j**(-485/24) Simplify (j*j**5)**(2/11)*(((j/j**(-5))/j*j)/j*j)/j**(6/7) assuming j is positive. j**(480/77) Simplify z**14*z**(-20)*z**(5/6)/z**(2/45) assuming z is positive. z**(-469/90) Simplify (b**3*b)**(-10/9)/(b*b*(b/(b/b**(-11)*b*b))/b*((b/(b**27*b))/b)/b) assuming b is positive. b**(329/9) Simplify ((z*z*z**(-11/6)/z)/z*z**18)/(z**(7/4)*z*z*z**(2/41)) assuming z is positive. z**(6085/492) Simplify (j*j/((((j/(j/j**(1/31)))/j)/j)/j*j)*(j/(j/(j*j/j**(-8)))*j)/j)/(j*j*j/(j*j*j**(2/31)*j)*j**(-1/6)/j) assuming j is positive. j**(2827/186) Simplify ((w*w**(2/29)*w**(-2/7))**(4/21))**(14/13) assuming w is positive. w**(424/2639) Simplify ((j**18)**19)**(3/14) assuming j
{ "pile_set_name": "DM Mathematics" }
1*sqrt(63) + sqrt(63))/sqrt(9) + sqrt(14)/sqrt(32). 9*sqrt(7)/4 Simplify (2*-2*sqrt(448) + 2)**2. -128*sqrt(7) + 7172 Simplify (-4*sqrt(684)*4)**2. 175104 Simplify ((sqrt(44) + sqrt(396) + sqrt(44) - sqrt(44))*-3)/(sqrt(432)/sqrt(12)) + -3. -4*sqrt(11) - 3 Simplify -5*(2 + sqrt(45)). -15*sqrt(5) - 10 Simplify (4 + sqrt(128) + sqrt(128) + sqrt(2))**2 - sqrt(20)/((sqrt(10)*-4 - sqrt(10)) + sqrt(10)). 545*sqrt(2)/4 + 594 Simplify (sqrt(320)*1*1)**2. 320 Simplify (-3*3*sqrt(252)*2*5)**2. 2041200 Simplify 2 + 3*sqrt(19) - (1 + sqrt(19)*-4). 1 + 7*sqrt(19) Simplify -1*sqrt(176) + 4 - (-2 + sqrt(176))**2*-6. -100*sqrt(11) + 1084 Simplify (sqrt(605) + sqrt(605) + sqrt(605) + sqrt(605)*1*-3 + sqrt(605))**2 - 2*(sqrt(605) + -1). -22*sqrt(5) + 607 Simplify (2 + sqrt(18))**2 - (sqrt(8)/sqrt(144))**2. 12*sqrt(2) + 395/18 Simplify sqrt(112)*1 + sqrt(7) + sqrt(112)*-1 + sqrt(7). 2*sqrt(7) Simplify ((-5*(sqrt(156) - 1*sqrt(156)))/sqrt(12))**2. 0 Simplify (-1 + sqrt(13))*2 - sqrt(91)/sqrt(112). -2 + 7*sqrt(13)/4 Simplify sqrt(5) - (sqrt(245) + 1)**2 - (sqrt(20)/(sqrt(4)*-3))**2. -2219/9 - 13*sqrt(5) Simplify ((-2 + -1 + sqrt(2299) + sqrt(2299))*1*-2)**2. -528*sqrt(19) + 36820 Simplify (((sqrt(660) - (sqrt(660) - (sqrt(660) - sqrt(660)*1)))/sqrt(11))/(-2*sqrt(192)))**2. 0 Simplify -5*(sqrt(18)/(-3*sqrt(6)*-1) + 5). -25 - 5*sqrt(3)/3 Simplify (1 + -4*sqrt(931))**2. -56*sqrt(19) + 14897 Simplify ((-3*sqrt(495))/sqrt(9))/(sqrt(88)/(sqrt(128) + sqrt(8))). -15*sqrt(5) Simplify -6*(sqrt(3) + 1) + (sqrt(48) - (0 + sqrt(48) - sqrt(48)) - sqrt(48))**2 + -1. -6*sqrt(3) - 7 Simplify ((sqrt(1331) + sqrt(1331) + -2*(sqrt(1331) + -1))*-3)**2. 36 Simplify (sqrt(720) + 2 + 2)**2 - 1*sqrt(720)*3. 60*sqrt(5) + 736 Simplify -1 + sqrt(272)*1. -1 + 4*sqrt(17) Simplify -2 + sqrt(49)/(2*sqrt(21)/sqrt(3)). -2 + sqrt(7)/2 Simplify 3 + -5*((4 + sqrt(8)/sqrt(4))**2 + (1*sqrt(10))/sqrt(5)). -87 - 45*sqrt(2) Simplify (-3 + -1*sqrt(891))**2 + 3 + sqrt(891)*-2. 36*sqrt(11) + 903 Simplify (1*sqrt(448) + sqrt(336)/sqrt(108))**2. 4732/9 Simplify (sqrt(33)*1)/sqrt(11) + 4. sqrt(3) + 4 Simplify sqrt(36)/((sqrt(108) + sqrt(12))*6 + sqrt(12)). sqrt(3)/25 Simplify (sqrt(104) + (sqrt(104) - 3*sqrt(104)*5))/((sqrt(64) + -3*sqrt(64))/sqrt(8)). 13*sqrt(13)/2 Simplify 5 + sqrt(1377)*-2 + (sqrt(204) - 4*1*sqrt(204))/sqrt(12). -21*sqrt(17) + 5 Simplify 2 + -1*sqrt(7) - 2*sqrt(7)*2. -5*sqrt(7) + 2 Simplify ((-3*sqrt(252))/sqrt(4))/(sqrt(441)*-1 - sqrt(441)). 3*sqrt(7)/14 Simplify (sqrt(1300) + -1 + -3)**2. -80*sqrt(13) + 1316 Simplify sqrt(1100) - (sqrt(1100) + ((sqrt(1100) + -1)*3)**2). -9909 + 180*sqrt(11) Simplify ((2*-3*sqrt(204) + sqrt(204))/((sqrt(72) - (sqrt(72) - ((1*sqrt(72) - sqrt(72)) + sqrt(72))))/sqrt(6)))**2. 425 Simplify (sqrt(11) - (sqrt(11)*-2 + -5) - sqrt(11)) + 1. 6 + 2*sqrt(11) Simplify sqrt(77)/(-2*sqrt(704)) - (-2*(sqrt(42) + sqrt(84)/sqrt(2)))/sqrt(6). 63*sqrt(7)/16 Simplify (2 + sqrt(2) + 1)**2 + sqrt(2) - (-1 + sqrt(50)). 2*sqrt(2) + 12 Simplify (sqrt(5)*1)**2 + 1 + (-3 + sqrt(5) + -2 + sqrt(5))**2. -20*sqrt(5) + 51 Simplify (sqrt(20)/(sqrt(10) - ((1*sqrt(490) - sqrt(490)) + sqrt(490) + sqrt(490))))**2. 2/169 Simplify ((sqrt(72) - (sqrt(72) + sqrt(72) + 1)*2 - sqrt(72) - sqrt(72)) + -4)**2. 360*sqrt(2) + 1836 Simplify 5 + (3*(sqrt(153) - -2*sqrt(153)))**2. 12398 Simplify (1*sqrt(1900) + 1 + 0 + -1 + sqrt(1900))**2. 7600 Simplify 4*(1*sqrt(117)*-3 - sqrt(117))/(sqrt(9) + (sqrt(81)/sqrt(3))/sqrt(3)). -8*sqrt(13) Simplify (sqrt(11)*-2 + sqrt(11))*6 - sqrt(44)/(-1*sqrt(4)). -5*sqrt(11) Simplify (sqrt(5) + -3)*2 - (-3*sqrt(35))/sqrt(7). -6 + 5*sqrt(5) Simplify (-2*(sqrt(1053) + (-3*sqrt(1053)*2 - sqrt(1053)) - 2*(sqrt(1053) + -1)))**2. -1152*sqrt(13) + 269584 Simplify 1*sqrt(847) + -2. -2 + 11*sqrt(7) Simplify ((sqrt(153) + (sqrt(153) - (2 + sqrt(153))))*-1)**2. -12*sqrt(17) + 157 Simplify 2 + (sqrt(19)*-1*-6 - (-3 + sqrt(38)/sqrt(2)))**2. 30*sqrt(19) + 486 Simplify 6*sqrt(76)/sqrt(4)*2. 12*sqrt(19) Simplify -1 + (1 + 1*sqrt(2299))**2. 22*sqrt(19) + 2299 Simplify ((sqrt(17) + -3*(sqrt(17) + -1))**2 - -2*sqrt(153)) + -2. -6*sqrt(17) + 75 Simplify (sqrt(136)/(sqrt(16)/sqrt(4)))/(sqrt(14)/(sqrt(14)/sqrt(2))). sqrt(17) Simplify (sqrt(500) + (sqrt(500) - (sqrt(500) + 1 + sqrt(500)))*-2)**2 + 0. 120*sqrt(5) + 4504 Simplify (2*1*sqrt(180)*1*1)**2. 720 Simplify 5 + sqrt(99) + -3*sqrt(11) + 1. 6 Simplify 5*(sqrt(168)*6)/(-1*sqrt(24)). -30*sqrt(7) Simplify (sqrt(80) + -3 + (1 + sqrt(1620) - sqrt(20)))**2. -80*sqrt(5) + 2004 Simplify sqrt(55)/(sqrt(1100) - sqrt(11)) - (sqrt(180) - 3*sqrt(180)). 109*sqrt(5)/9 Simplify 6*(-2 + sqrt(11)) + (sqrt(11) - sqrt(55)/sqrt(5)*5). -12 + 2*sqrt(11) Simplify 5*(2 + sqrt(300)). 10 + 50*sqrt(3) Simplify (3*(sqrt(70)*-2 + sqrt(70) - sqrt(70) - sqrt(70)))/(sqrt(810)*3). -sqrt(7)/3 Simplify (sqrt(8064)*2)/sqrt(8). 24*sqrt(7) Simplify sqrt(35)/(sqrt(15)/(sqrt(15)/sqrt(5))). sqrt(7) Simplify sqrt(13) + 1*sqrt(1053) - 1*sqrt(13)*-6. 16*sqrt(13) Simplify ((2 + sqrt(475)*-2)*-5*-2)**2. -4000*sqrt(19) + 190400 Simplify (2*(sqrt(11) + -1))**2 + -3 + 1 + sqrt(11). -7*sqrt(11) + 46 Simplify (sqrt(204) + (sqrt(204) - (-1*sqrt(204) + sqrt(204))*3 - sqrt(204)) - sqrt(204) - sqrt(204))/(sqrt(36)/(2*sqrt(3))). -2*sqrt(17) Simplify ((sqrt(684) + 0 + 0 - sqrt(684)) + (sqrt(304) - (1*sqrt(304) + -4)))**2. 16 Simplify 1 + sqrt(40)/sqrt(72). sqrt(5)/3 + 1 Simplify sqrt(40)/sqrt(72) + 5. sqrt(5)/3 + 5 Simplify (sqrt(117) + (sqrt(117) - -1*sqrt(117)*-1) - sqrt(117))/sqrt(9). 0 Simplify ((-1 + sqrt(1377))*-2 - (sqrt(1377) - (-3 + (sqrt(1377) - (sqrt(1377) + 0)))))**2. 54*sqrt(17) + 12394 Simplify sqrt(130)/(sqrt(20)/sqrt(2)) - (sqrt(13) + 0 + sqrt(117)). -3*sqrt(13) Simplify -1*1*sqrt(162) - sqrt(162). -18*sqrt(2) Simplify (sqrt(228) + sqrt(228) + sqrt(228)*3 + sqrt(228) - sqrt(228) - sqrt(228))/sqrt(12)*-5. -20*sqrt(19) Simplify sqrt(245) + 1 + -1. 7*sqrt(5) Simplify (4 + 2*sqrt(20))*5. 20 + 20*sqrt(5) Simplify -3 + ((sqrt(13) + (sqrt(13) + sqrt(117) + sqrt(13) + -3 - sqrt(13)))*3*2)**2. -1080*sqrt(13) + 12021 Simplify (1*(sqrt(117) - (sqrt(117) - sqrt(117)*1*5))*-3)**2. 26325 Simplify -1*(sqrt(13) + 2 + sqrt(637)). -8*sqrt(13) - 2 Simplify (((sqrt(190) - (sqrt(190) + sqrt(190) + (-3*sqrt(190) - sqrt(190)))) + sqrt(190))*1)/((1*sqrt(110))/sqrt(11)). 4*sqrt(19) Simplify (sqrt(10)/(sqrt(45)/sqrt(9)*-3))**2*4. 8/9 Simplify -2 + (-1*sqrt(275) - sqrt(275))**2 + (sqrt(1331) - (sqrt(1331) + sqrt(1331) + 0 + sqrt(1331))**2). -10881 + 11*sqrt(11) Simplify (sqrt(240)/(sqrt(36)/sqrt(3) + sqrt(12)))/(-1*(sqrt(4) - sqrt(36))). sqrt(5)/4 Simplify (sqrt(22) - 2*sqrt(198))/(-2*sqrt(11)*1). 5*sqrt(2)/2 Simplify ((sqrt(1100)*1 + 1 - sqrt(1100)) + sqrt(1100) + -5*(sqrt(1100) + 0))**2. -80*sqrt(11) + 17601 Simplify ((sqrt(27) + 4*-1*sqrt(27))/((sqrt(9) + sqrt(9) + sqrt(225))*-6))**2. 3/196 Simplify (sqrt(1377) - (sqrt(1377) + -3))*6 + 5. 23 Simplify (-5 + -1*(sqrt(19) + (sqrt(19) - (sqrt(19) + 0)) + 4 + (sqrt(171) - (sqrt(171) + -1))))**2. 20*sqrt(19) + 119 Simplify sqrt(117) + -3 - sqrt(13) - (5 + -1*sqrt(13) + sqrt(13))**2. -28 + 2*sqrt(13) Simplify (sqrt(7) - (-2 + sqrt(700))) + 2. -9*sqrt(7) + 4 Simplify -5*(sqrt(19) - ((sqrt(475))**2 + 2)). -5*sqrt(19) + 2385 Simplify ((sqrt(76) + 5 - sqrt(76)) + sqrt(76))**2*3*4. 240*sqrt(19) + 1212 Simplify 4*(-1*sqrt(34))/sqrt(2) + -2. -4*sqrt(17) - 2 Simplify (2 + sqrt(32) + sqrt(2) - (-3 + sqrt(2) + sqrt(8)/sqrt(4))) + -1. 4 + 3*sqrt(2) Simplify -3*((sqrt(50)*-2)/sqrt(10))**2 + -5. -65 Simplify (sqrt(2299)*-1)**2 + -1*sqrt(475). -5*sqrt(19) + 2299 Simplify ((sqrt(363) - (sqrt(363) - (sqrt(363) + -3*sqrt(363) + sqrt(363)) - sqrt(363)))**2 - sqrt(363)) + -3. -11*sqrt(3) - 3 Simplify -2 + sqrt(4)/sqrt(2) - (sqrt(2) + (-1*sqrt(8))/sqrt(4)). -2 + sqrt(2) Simplify sqrt(44)/(sqrt(4) - 1*sqrt(400)). -sqrt(11)/9 Simplify sqrt(5) + (sqrt(5) - (0 + sqrt(5) - sqrt(5))**2)*1 - sqrt(5) - ((-1*sqrt(720))**2 + sqrt(5)). -720 Simplify 1 + (sqrt(3) - sqrt(27))**2 + 1 + 0 + sqrt(3). sqrt(3) + 14 Simplify (sqrt(6336) - ((sqrt(6336) - (sqrt(6336) - 4*(1*sqrt(6336) + sqrt(6336)))) + sqrt(6336)))**2. 405504 Simplify 4*(0 + ((sqrt(200)/sqrt(4) + sqrt(50))/sqrt(10))**2). 80 Simplify sqrt(26)/(sqrt(198)/sqrt(11)) + -1. -1 + sqrt(13)/3 Simplify -5 + sqrt(288) + 1 + 2. -2 + 12*sqrt(2) S
{ "pile_set_name": "DM Mathematics" }
, 0.054, 5, 243 Put 12, 63, -4, 39, 6, 1 in increasing order. -4, 1, 6, 12, 39, 63 Put 10/3, -0.3, -5/8, 47.475, 3/5 in ascending order. -5/8, -0.3, 3/5, 10/3, 47.475 Sort -3, 177, -5, 12057 in ascending order. -5, -3, 177, 12057 Sort 0.018, 125, 16. 0.018, 16, 125 Sort 74/5, 1088, 8 in descending order. 1088, 74/5, 8 Sort -5, 13, 5, -64, 2, 3, 7 in ascending order. -64, -5, 2, 3, 5, 7, 13 Put -77, 0.2, -0.063, 67 in descending order. 67, 0.2, -0.063, -77 Sort 5, -5, 2/9, 4/31, -16, -7/48 in decreasing order. 5, 2/9, 4/31, -7/48, -5, -16 Sort -4, -18, -425, 2, 9, -3 in ascending order. -425, -18, -4, -3, 2, 9 Sort -2, -2833, -19, 1/107 in ascending order. -2833, -19, -2, 1/107 Put -0.06, 0.4, 1, -2, -4, 177/4 in descending order. 177/4, 1, 0.4, -0.06, -2, -4 Put -1, 0, -139, 20, -4, 116, -2 in descending order. 116, 20, 0, -1, -2, -4, -139 Sort 1, -3, 85, -4, 902, 362 in ascending order. -4, -3, 1, 85, 362, 902 Put 0.18, -4/7, 8.8, -3/185 in decreasing order. 8.8, 0.18, -3/185, -4/7 Sort 3, -3, -1, 24, -28, 2 in descending order. 24, 3, 2, -1, -3, -28 Sort -17, -6, -16720 in descending order. -6, -17, -16720 Put -111, -6, 365, 3 in decreasing order. 365, 3, -6, -111 Sort 19, -3, 0.256, -1, 5, -1/10 in increasing order. -3, -1, -1/10, 0.256, 5, 19 Sort 5, -3/5, -6, 1/4, 0.24, -1285 in descending order. 5, 1/4, 0.24, -3/5, -6, -1285 Put 5, 3, -3.9593 in descending order. 5, 3, -3.9593 Put -3/11, 74, -10.537, -0.3 in descending order. 74, -3/11, -0.3, -10.537 Put 4, 7, -280, 1/4, 2, 1 in decreasing order. 7, 4, 2, 1, 1/4, -280 Put 1/7, 3/2, 0.08, 0, -2809, 3, 5 in descending order. 5, 3, 3/2, 1/7, 0.08, 0, -2809 Sort 3, -0.2, -7, -43369/14 in increasing order. -43369/14, -7, -0.2, 3 Sort -9, 7, 35812, -5, 3 in descending order. 35812, 7, 3, -5, -9 Put -9, 5, 4202, -83, -2 in increasing order. -83, -9, -2, 5, 4202 Sort -1, 631, 3, 2, 2684. -1, 2, 3, 631, 2684 Sort -1020, 1563, -1 in descending order. 1563, -1, -1020 Sort 19479, 3, -0.5, -6/7, 1/4, 0.5 in decreasing order. 19479, 3, 0.5, 1/4, -0.5, -6/7 Put -2180381, 1, 2, 32 in decreasing order. 32, 2, 1, -2180381 Sort -4, -182946, -3, -10, 32 in increasing order. -182946, -10, -4, -3, 32 Sort -279.4741, -1, 2/7 in increasing order. -279.4741, -1, 2/7 Put -19/24696, -0.1, -30 in decreasing order. -19/24696, -0.1, -30 Sort 0, -4, 5, -0.5, 17815/111 in decreasing order. 17815/111, 5, 0, -0.5, -4 Sort 14, 1608, -133. -133, 14, 1608 Put -3, 5, 3, 47, 0, -127, -5 in descending order. 47, 5, 3, 0, -3, -5, -127 Put 7, 2, 10, -3, 6, 0, 39 in ascending order. -3, 0, 2, 6, 7, 10, 39 Sort -7, -4, 2130777, 2, 4 in decreasing order. 2130777, 4, 2, -4, -7 Sort -2, 11, -238, 15, -5 in increasing order. -238, -5, -2, 11, 15 Sort 5, 3, 1, -2345, 4, -185 in descending order. 5, 4, 3, 1, -185, -2345 Sort 0, -1/641, 1239/101 in descending order. 1239/101, 0, -1/641 Sort -7, -5, -5/8, 2/398147 in decreasing order. 2/398147, -5/8, -5, -7 Put 4, 254445, 19 in ascending order. 4, 19, 254445 Sort 0, -13, 11, -17288, -3, -5 in increasing order. -17288, -13, -5, -3, 0, 11 Sort 0.333, -0.03, -72, -3, 0.3 in ascending order. -72, -3, -0.03, 0.3, 0.333 Put 166, 123.5, 2/25, -1, 0.5 in ascending order. -1, 2/25, 0.5, 123.5, 166 Put 2, 3, -1, -0.6, 187, -26 in decreasing order. 187, 3, 2, -0.6, -1, -26 Put 1, 108, -22, -214 in descending order. 108, 1, -22, -214 Put -148, -299, 75 in decreasing order. 75, -148, -299 Put -16, -8, 5, 0, -2, -665 in descending order. 5, 0, -2, -8, -16, -665 Sort 5, -71, 4, 0.4, -11, 0.1, 23/9 in descending order. 5, 4, 23/9, 0.4, 0.1, -11, -71 Put 0, 236, 4, -232, 3, -13, 2 in descending order. 236, 4, 3, 2, 0, -13, -232 Sort 56, -7, -120, 3, -2 in descending order. 56, 3, -2, -7, -120 Put 11976, -4, -2, -247, -5 in descending order. 11976, -2, -4, -5, -247 Sort 0, -8, -21.3, 4, -1.324 in descending order. 4, 0, -1.324, -8, -21.3 Put 64, -1, 0.1, -1/4, -4, 33, 53 in increasing order. -4, -1, -1/4, 0.1, 33, 53, 64 Sort -2/45, 271, -0.056, -0.017 in increasing order. -0.056, -2/45, -0.017, 271 Sort -238091, 0, -5, -4 in decreasing order. 0, -4, -5, -238091 Put 3, -14389, 9, 5 in decreasing order. 9, 5, 3, -14389 Sort -10428, 72, 0.5, -0.4, 5 in ascending order. -10428, -0.4, 0.5, 5, 72 Sort 24, 199, -4, 76, 4 in descending order. 199, 76, 24, 4, -4 Put 11, -4, 2, 19, 208, -215 in increasing order. -215, -4, 2, 11, 19, 208 Put 14, -7, 1, 79, -6, 40 in ascending order. -7, -6, 1, 14, 40, 79 Put -2, -11, -10, -438 in decreasing order. -2, -10, -11, -438 Sort -3, -8, -5, 17, -807, 32. -807, -8, -5, -3, 17, 32 Put -1740, 184, 46 in ascending order. -1740, 46, 184 Put -9, 3, 0.01, 2.7, -200, -7 in descending order. 3, 2.7, 0.01, -7, -9, -200 Sort 48376, -10, -11, 3 in decreasing order. 48376, 3, -10, -11 Put 961440, -2/9, 20 in decreasing order. 961440, 20, -2/9 Put 153, 3, -271, 230 in decreasing order. 230, 153, 3, -271 Sort -72, 15, 6, -12, -5, 2 in descending order. 15, 6, 2, -5, -12, -72 Sort -2823, 1/10, 4, -0.3, 3, -1/20 in increasing order. -2823, -0.3, -1/20, 1/10, 3, 4 Sort 6, 7, 4, -4/9, 3/214, 8 in decreasing order. 8, 7, 6, 4, 3/214, -4/9 Put 1/6, 3592, 1, -3/22, 39, 3/4 in ascending order. -3/22, 1/6, 3/4, 1, 39, 3592 Sort -6, -4, 5, 3485, -3, 6. -6, -4, -3, 5, 6, 3485 Sort 8, 2, 2655, -10, 1 in ascending order. -10, 1, 2, 8, 2655 Put 3/8, 1.1, 0.3, 22982.22 in increasing order. 0.3, 3/8, 1.1, 22982.22 Sort -3595912, -4, 0, 13 in decreasing order. 13, 0, -4, -3595912 Sort -3, 258, 2, -5, -8599 in ascending order. -8599, -5, -3, 2, 258 Sort 545, -2, -5, 13, -7, -1, 3 in ascending order. -7, -5, -2, -1, 3, 13, 545 Sort 4/11, -9, 1/69, 449. -9, 1/69, 4/11, 449 Sort -3, 62, 549, -4, 7 in decreasing order. 549, 62, 7, -3, -4 Put 2049001, -3, 0, 5 in decreasing order. 2049001, 5, 0, -3 Sort 467, -43704, 5 in decreasing order. 467, 5, -43704 Put 166481, 1, 4, -1, -2 in decreasing order. 166481, 4, 1, -1, -2 Sort -99, -1468, -47 in decreasing order. -47, -99, -1468 Sort 152, 4, 9, 1928. 4, 9, 152, 1928 Sort -25, -5, -138, 2, 1, -1, 445 in decreasing order. 445, 2, 1, -1, -5, -25, -138 Sort -49, 41, -18, 1/4, 4, 5/3, -1 in descending order. 41, 4, 5/3, 1/4, -1, -18, -49 Put -163233, -5, -38 in increasing order. -163233, -38, -5 Sort -3, 4, 13923, -2/3, 647, 3, -1. -3, -1, -2/3, 3, 4, 647, 13923 Sort -12, -91537, -125 in increasing order. -91537, -125, -12 Put -5, 11, -1609084 in decreasing order. 11, -5, -1609084 Sort -1, 18, 5, 973, 20 in descending order. 973, 20, 18, 5, -1 Put -5, -8, 8, -19, -33, 4 in increasing order. -33, -19, -8, -5, 4, 8 Put 1875, 1, 0, 14, 36, -1 in increasing order. -1, 0, 1, 14, 36, 1875 Sort -38268, 1, 65, -5. -38268, -5, 1, 65 Sort 28, -3, 403942, -2, 2. -3, -2, 2, 28, 403942 Sort 8, -1/30, 2/9, -1, 656 in decreasing order. 656, 8, 2/9, -1/30, -1 Sort -17, 0.211, -11, 1/4, -3. -17, -11, -3, 0.211, 1/4 Sort 6/7, 2/17, 9/245, 4/11 in decreasing order. 6/7, 4/11, 2/17, 9/245 Sort 219, 2535, 5, 1, 2 in decreasing order. 2535, 219, 5, 2, 1 Sort -1345, 892, 0.22, 0 in decreasing order. 892, 0.22, 0, -1345 Sort 4, 3, -2, -1, -9, 273720 in descending order. 273720, 4, 3, -1, -2, -9 Sort -158.65287, 1/2, 2 in decreasing order. 2, 1/2, -158.65287 Sort 36, 3, -3, -0.51, -4, -1, -80 in decreasing order. 36, 3, -0.51, -1, -3, -4, -80 Put -68, 4, -97361, 5, 0 in increasing order. -97361, -68, 0, 4, 5 Sort -208, -2, 1582, 5 in descending order. 1582, 5, -2, -208 Put -12257, 2/9, -362/5 in increasing order. -12257, -362/5, 2/9 Put 0, -11.6344, 3/7 in descending order. 3/7, 0, -11.6344 Sort -6, 8, 5, -5, -36, 9 in decreasing order. 9, 8, 5, -5, -6, -36 Put -3, -0.3, -5, -600, 472, 3 in increasing order. -600, -5, -3, -0.3, 3, 472 Sort 4, -27481, -2, -5, -11, -1, -8 in increasing order. -27481, -11, -8, -5, -2, -1, 4 Sort 4283956, 1, -5 in descending order. 4283956, 1, -5 Sort -70, 9, -14, -5, 2, 11, 0. -70, -14, -5, 0, 2, 9, 11 Sort 4831, 42, -5, -1 in increasing order. -5, -1, 42, 4831 Put -1/6, -2/29, -172.704, -1 in descending order. -2/29, -1/6, -1, -172.704 Put -10, -36, 2/5, 39, 2, -2/75 in decreasing order. 39, 2, 2/5, -2/75, -10, -36 Sort 2, -11, 0, 6, 75 in decreasing order. 75, 6, 2, 0, -11 Put 5, 476, 440, 3, -2/23 in increasing order. -2/23, 3, 5, 440, 476 Put 6208, 18, -
{ "pile_set_name": "DM Mathematics" }
13 Calculate prob of sequence folf when four letters picked without replacement from ffzloooloz. 1/315 Two letters picked without replacement from wtttwwwwtwwttwwtttw. Give prob of sequence tw. 5/19 Two letters picked without replacement from uuturmutqurtmumr. Give prob of sequence tt. 1/40 Calculate prob of sequence yyys when four letters picked without replacement from {r: 1, s: 7, y: 6}. 5/143 Calculate prob of sequence xxo when three letters picked without replacement from oxxx. 1/4 Three letters picked without replacement from benco. What is prob of sequence nbo? 1/60 Three letters picked without replacement from {k: 2, v: 1, p: 1, l: 1, o: 1, b: 1}. What is prob of sequence pbk? 1/105 Calculate prob of sequence bbb when three letters picked without replacement from {d: 16, b: 4}. 1/285 Three letters picked without replacement from {a: 15, e: 4}. Give prob of sequence eee. 4/969 Four letters picked without replacement from ihryrpiroypryrriir. What is prob of sequence iioi? 1/3060 Three letters picked without replacement from ippaaiii. Give prob of sequence ppi. 1/42 Three letters picked without replacement from {p: 1, n: 5, z: 7, u: 5}. Give prob of sequence nzu. 175/4896 Four letters picked without replacement from {o: 1, k: 2, z: 2, g: 1}. Give prob of sequence ozgz. 1/180 Three letters picked without replacement from kekrgeqyqeky. What is prob of sequence yye? 1/220 Four letters picked without replacement from tfttifiifttf. Give prob of sequence iiit. 1/396 What is prob of sequence dt when two letters picked without replacement from tdvvvvttdvvvt? 2/39 Calculate prob of sequence fwo when three letters picked without replacement from oooowooooooofo. 1/182 Four letters picked without replacement from {v: 3, d: 2, f: 2, h: 2}. What is prob of sequence dfdh? 1/378 Four letters picked without replacement from {m: 6, t: 2}. What is prob of sequence tmmm? 1/7 Three letters picked without replacement from {x: 2, i: 4, j: 2, d: 3, a: 2}. What is prob of sequence dxi? 2/143 Three letters picked without replacement from onoeondoodo. What is prob of sequence dnn? 2/495 Four letters picked without replacement from twhtcft. What is prob of sequence hcwf? 1/840 Three letters picked without replacement from ytqqyykkxytyyktytyxk. Give prob of sequence tqx. 2/855 Two letters picked without replacement from eewzwzwwzezgzewgep. Give prob of sequence ww. 10/153 Three letters picked without replacement from {i: 4, o: 1, w: 2, y: 2, d: 4, p: 7}. What is prob of sequence yyi? 1/855 Three letters picked without replacement from {v: 5, o: 3, b: 3, n: 3, l: 1, a: 3}. What is prob of sequence abo? 3/544 Three letters picked without replacement from {h: 3, u: 3, t: 1, x: 2, z: 1, g: 5}. What is prob of sequence xhg? 1/91 What is prob of sequence zww when three letters picked without replacement from {z: 2, w: 14, j: 1}? 91/1020 What is prob of sequence ek when two letters picked without replacement from {e: 1, k: 3}? 1/4 Four letters picked without replacement from jxxyjjrjxj. Give prob of sequence yjxr. 1/336 What is prob of sequence esl when three letters picked without replacement from {l: 7, e: 1, s: 1}? 1/72 Calculate prob of sequence uh when two letters picked without replacement from qqlpeuhqheeplq. 1/91 What is prob of sequence vk when two letters picked without replacement from {k: 15, v: 5}? 15/76 Calculate prob of sequence wd when two letters picked without replacement from {w: 2, d: 2, e: 1, c: 11}. 1/60 What is prob of sequence rrw when three letters picked without replacement from {q: 5, r: 4, w: 1, j: 3}? 1/143 Two letters picked without replacement from wibywgigiigibggw. What is prob of sequence gb? 1/24 What is prob of sequence pl when two letters picked without replacement from {l: 2, s: 8, p: 8}? 8/153 Calculate prob of sequence zhyh when four letters picked without replacement from {y: 1, h: 3, f: 3, s: 6, z: 5}. 1/2448 What is prob of sequence tikt when four letters picked without replacement from lxiikiltlktxxll? 1/2730 Three letters picked without replacement from {o: 10, y: 4, n: 5}. Give prob of sequence ynn. 40/2907 Four letters picked without replacement from {n: 3, e: 4}. What is prob of sequence eenn? 3/35 Calculate prob of sequence bbvv when four letters picked without replacement from bvvbvvvvvvv. 1/55 Four letters picked without replacement from grrbrrrdw. What is prob of sequence wbdr? 5/3024 What is prob of sequence wq when two letters picked without replacement from cchqcnwoqww? 3/55 What is prob of sequence xix when three letters picked without replacement from ifxiirirrx? 1/90 Three letters picked without replacement from hhsrrhsbssbhhhhh. Give prob of sequence rsb. 1/210 Three letters picked without replacement from {z: 3, j: 3, v: 1, w: 3, t: 2, g: 1}. What is prob of sequence vzw? 3/572 What is prob of sequence usw when three letters picked without replacement from wus? 1/6 What is prob of sequence hip when three letters picked without replacement from {b: 2, i: 4, h: 4, p: 2}? 4/165 Calculate prob of sequence pw when two letters picked without replacement from wwpwpppppppwppwwppp. 13/57 What is prob of sequence ht when two letters picked without replacement from {h: 5, t: 2, v: 2, k: 3}? 5/66 What is prob of sequence ll when two letters picked without replacement from llddllllllldllll? 13/20 Calculate prob of sequence kqk when three letters picked without replacement from {k: 16, q: 4}. 8/57 Four letters picked without replacement from {m: 1, c: 5, s: 1, y: 2, u: 3}. What is prob of sequence cmsu? 1/792 Calculate prob of sequence pd when two letters picked without replacement from odoodpop. 1/14 Two letters picked without replacement from {o: 2, m: 2, s: 2}. What is prob of sequence oo? 1/15 Two letters picked without replacement from xtxtxrxxrrtttrrtrxx. What is prob of sequence xr? 7/57 Three letters picked without replacement from {i: 1, v: 4, y: 2, c: 3, q: 1}. Give prob of sequence yqc. 1/165 What is prob of sequence epee when four letters picked without replacement from {e: 4, p: 3}? 3/35 What is prob of sequence cc when two letters picked without replacement from {c: 8, v: 3}? 28/55 What is prob of sequence gng when three letters picked without replacement from {b: 4, a: 1, n: 2, v: 6, g: 3}? 1/280 Four letters picked without replacement from {s: 1, w: 1, u: 1, d: 1, g: 1}. Give prob of sequence gsdw. 1/120 Two letters picked without replacement from dfzkzd. What is prob of sequence fd? 1/15 What is prob of sequence pi when two letters picked without replacement from {v: 4, p: 2, i: 1}? 1/21 Three letters picked without replacement from {y: 3, b: 2, t: 1, z: 2, h: 4, e: 2}. What is prob of sequence bhe? 2/273 Three letters picked without replacement from fvvvfvlslsvsvvf. Give prob of sequence svl. 1/65 Two letters picked without replacement from johhoqohoo. Give prob of sequence qq. 0 Two letters picked without replacement from jeejlleppeejjlmjme. Give prob of sequence me. 2/51 Calculate prob of sequence rfpp when four letters picked without replacement from aqfppppaqryf. 1/495 Calculate prob of sequence nxbz when four letters picked without replacement from {h: 1, n: 3, x: 7, b: 4, z: 4}. 7/1938 Two letters picked without replacement from {l: 9, h: 3, i: 7}. What is prob of sequence hi? 7/114 Three letters picked without replacement from {i: 1, y: 2, z: 3, e: 6, c: 1}. What is prob of sequence zyy? 1/286 Calculate prob of sequence lllz when four letters picked without replacement from {z: 2, l: 4, o: 1}. 2/35 Two letters picked without replacement from vdqdqffddddp. Give prob of sequence fd. 1/11 Three letters picked without replacement from {k: 5, t: 1, u: 2, h: 1, j: 2, l: 2}. Give prob of sequence tlj. 1/429 Calculate prob of sequence lfn when three letters picked without replacement from lynsisf. 1/210 Three letters picked without replacement from kkgfukukhhuhufkhuh. Give prob of sequence fkh. 25/2448 Two letters picked without replacement from eeepeepp. What is prob of sequence pp? 3/28 Three letters picked without replacement from {f: 1, w: 3, n: 4, l: 2, x: 1}. Give prob of sequence lwx. 1/165 What is prob of sequence cjdj when four letters picked without replacement from jdjcdu? 1/90 Two letters picked
{ "pile_set_name": "DM Mathematics" }
*4 + 10*r**4 + 1 + 2*r + 1 + (r**3 + 2 - 2)*(-3 + 2*r + 3) + 3*r**3 - r**4 - 3*r**3. 2*r**4 + 2*r + 2 Expand (g**2 + 0*g**2 - 2*g**2)*(g + 0*g + g)*(-2*g + 3*g - 3*g). 4*g**4 Expand (-7*w + 10*w - 15*w)*(2*w**4 + w**4 - 4*w**4) + (3 - 3 - 2)*(w**5 - 2*w + 2*w). 10*w**5 Expand 22 + 26 - 50 + 7*z**2 + (z + z - 4*z)*(-1 + 1 + 2*z) + 2*z**2 - z**2 + 0*z**2 + (2*z**2 - 1 + 1)*(4 - 1 - 2). 6*z**2 - 2 Expand (-1 + 1 + 2*c)*(-2*c - 2*c + 3*c) + (3*c**2 - 3*c**2 + c**2)*(5 - 5 - 1). -3*c**2 Expand (0*p + 2*p - 3*p)*(-1 + 0 + 0) + (-2 + 4 + 0)*(0*p + 2*p - 5*p). -5*p Expand -12*u**3 - 14*u**3 + 8*u**3 + (3*u**2 - 6*u**2 + 2*u**2)*(0 - u + 0) + 3*u**3 + 3*u**3 - 4*u**3. -15*u**3 Expand (-w + 4 - 4)*(-w**3 + w**3 + 2*w**4) - 5*w**5 + 2*w**5 + 4*w**5. -w**5 Expand (-2*v**3 + 2*v**3 - 3*v**3)*(0*v**2 + 4*v**2 - 3*v**2). -3*v**5 Expand (-2*j**4 + 2*j**4 + j**5)*(-1 - 1 - 2) - 2*j + j**5 + 2*j. -3*j**5 Expand (-2*t - 4 + 4*t + 0*t)*(4 + 1 - 3 + (1 - 3 + 1)*(-4 + 0 + 2) + 0 + 1 + 0 + 0 + 1 + 0 - 3 + 5 - 3). 10*t - 20 Expand (v**2 - v**2 - v**4)*(-v - 11*v - 4*v). 16*v**5 Expand (-4*z + 0*z + 6*z)*(3 - 4 - 1 + (-5 + 3 + 3)*(1 + 5 - 5) - 3 + 4 - 4). -8*z Expand -4*z**5 + 8*z**5 + 3*z**5 + (-2 + 2 - 1)*(-2*z**4 + 2*z**4 - z**5) - 4*z**2 - 3*z**5 + 4*z**2 - z**5 + 2*z**3 - 2*z**3. 4*z**5 Expand (-9 + 3 + 0)*(3*i + 6*i - 5*i) + (-2 - 1 + 4)*(0*i + 0*i - i). -25*i Expand -4*s**2 + s**2 + 0*s**2 - 1 + 4*s**2 + 1 + (-3*s - s + 5*s)*(-2*s - 3*s + 7*s). 3*s**2 Expand 1 - 9*y**4 + 2*y**3 + 3*y + 2256*y**2 - 2256*y**2 + (-2*y**2 + 2*y**3 + 2*y**2)*(y + 0*y + 0*y). -7*y**4 + 2*y**3 + 3*y + 1 Expand (-1 + 2 + 0)*(17*r**3 + 27 - 27). 17*r**3 Expand (-3*l + 3*l + 2*l)*(l**2 + 2*l**2 - 2*l**2) + 88 - 88 - 3*l**3 + 3*l**3 + 2*l**3 - 3*l**3. l**3 Expand (-1 + 1 + 2*o)*(2*o - 5*o + 2*o)*(-5 + 5 + 3*o) - 5*o**3 + 10*o**3 + 4*o**3. 3*o**3 Expand (-4 + 3 - 1)*(-3*m - m - m) - 3*m + 2*m - m + 1. 8*m + 1 Expand (-8*g**4 + 6*g**4 + 7*g**4)*(-2 - 1 - 1)*(3 - 3 - 2*g). 40*g**5 Expand (-o**2 - 4*o + 4*o)*(-2 + 10 - 1). -7*o**2 Expand (-1 + 2 - 4)*(i**2 + 0*i - 2*i**2 + 2*i). 3*i**2 - 6*i Expand j**3 + 2 + 9*j**2 + 24*j - 24*j + (-2*j**3 - 2*j**2 + 2*j**2)*(-1 + 4 - 1) - 4 + 4 + j**3 + 0*j**3 - 3*j**3 + 2*j**3 + 2*j**3 - 5*j**3 + 2*j**3. -4*j**3 + 9*j**2 + 2 Expand (-2*a - 5*a + 5*a)*(2*a + 0*a - 3*a)*(11*a + 45 - 45). 22*a**3 Expand 0*x**2 + x**2 - 2*x**2 + (2 + 4 - 5)*(7*x**2 - 2*x**2 - 2*x**2) + x**2 - 1 + 1. 3*x**2 Expand (p**2 + 0*p**2 - 4*p**2)*(-2 - 2 + 1)*(2*p + 0*p - 4*p). -18*p**3 Expand (3 + 3 - 5)*(-3*m**4 + m**4 - 2*m**4)*(3 + 5 - 6 - 4 + 2 + 1 + (-3 + 6 - 1)*(-1 + 2 - 3) + 3 - 2 - 3). 20*m**4 Expand (0*q - 2*q + 5*q)*(1 + 0 + 2)*(-1 + 0 + 2) - 3*q + 4*q - 2*q. 8*q Expand (-c + 4*c - c)*((-c - 2*c + 4*c)*(2 - 1 - 3) - 6*c - c + 2 - c). -20*c**2 + 4*c Expand -i**4 + 2*i**5 + 0*i**5 - 3*i**4 + (0*i**3 - 6*i**3 + i**3)*(3*i - 3*i + 3*i**2). -13*i**5 - 4*i**4 Expand -2*r**5 - r**4 + r**4 + (1 + 2*r - 1)*(-2*r**4 - r**4 + r**4) - 8*r**2 + 10*r**2 - 22*r**2 + r**5. -5*r**5 - 20*r**2 Expand 2*t**2 - 2*t**2 + t**3 + (-3*t**3 + 2*t**3 + 4*t**3)*(-2 + 6 - 2). 7*t**3 Expand (17*a - 2*a - a)*(0 + 0 + 5*a**3). 70*a**4 Expand (-5 - 6*t**2 + 5)*(3*t - 6*t + 2*t) + 3*t - 3*t + 2*t**3 + (0*t**2 + 3*t**2 - 4*t**2)*(1 - 1 + t) - t - 2*t**3 + t + 5*t**3 - 4*t**3 - 2*t**3. 4*t**3 Expand -3*b**3 + 2*b**3 - b**3 + (0 + 6 - 1)*(b**3 - 3*b**3 + b**3). -7*b**3 Expand 2*k**5 + k**5 - 6*k**5 + (4*k**2 + k**2 - 3*k**2)*(0*k**3 + 0*k**3 - k**3) + 0*k**2 + k**5 + 0*k**2 - k + k - 2*k**5. -6*k**5 Expand -2*v + 2*v - 14*v**5 + (-1 - 1 + 5)*(-2*v**5 - 2*v**5 + 2*v**5). -20*v**5 Expand (0*a - 5*a + 2*a)*(-a + 0*a + 4*a)*(4*a - a - a). -18*a**3 Expand (1 - 1 + 2*v)*(0*v + 2*v - 4*v)*(5*v**2 - 5*v**2 + 5*v**3). -20*v**5 Expand (2*t**2 - 4*t**2 + 0*t**2)*(-4*t**2 + 2*t**2 + 7*t**2)*(-4*t - 4*t + t). 70*t**5 Expand (3*t - 3*t - 2*t)*(2*t + 2*t + t)*(-3*t + 3*t + 7*t**3). -70*t**5 Expand (-31*k - 22*k + 34*k)*(-1 - 2 + 6) + (-3*k - 3*k + 4*k)*(1 + 3 - 5). -55*k Expand (-2*f**2 + 2*f**2 - f**2)*(-41 + 934*f - 2*f**2 - 934*f). 2*f**4 + 41*f**2 Expand (1 + v - 3*v + 3*v)*(-2 + 0 + 5 + 2 - 2 + 1 + (-3 - 2 + 3)*(-2 + 2 - 2) - 3 + 1 + 1). 7*v + 7 Expand 5 + r - 5 + (r + 0*r + 0*r)*(-1 - 1 + 3) + 4*r - r - r - 3*r - 2*r + 4*r + (-2 + 2 - 1)*(-r - 4*r + 6*r). 2*r Expand (m + 0*m - 2*m)*(0*m + 3*m + 2 - m). -2*m**2 - 2*m Expand (6*z**4 + z**4 + 0*z**4)*(-4*z + 5*z - 2*z) + z**5 + z**4 - z**4. -6*z**5 Expand (-p - 4 + 4 + (-2 + 3 + 1)*(-2*p + 2*p + 2*p) + (2 - 2 - 1)*(3 - 4 + 0)*(0*p - p + 2*p))*(-6*p**2 - 2*p**2 - 4*p**2). -48*p**3 Expand (1 - x - 1)*(10 - 4 - 25) + (-3 + 2 + 0)*(-x + 2 - 2) - 2 + 2 + 2*x + 3*x - x - x. 23*x Expand (39 - 41 - t + 22)*(t**3 + 1 - 1) + 0*t**4 - 2*t**4 + 0*t**4 + (2 - 1 + 1)*(0*t**4 + 2*t**4 - 3*t**4) + t - t**4 - t. -6*t**4 + 20*t**3 Expand (-1 + 1 - 2)*(c**2 + 3*c**2 - 5*c**2) - 10*c**2 + 39*c**2 - 77*c**2. -46*c**2 Expand -q**3 + q**3 - 2*q**3 + 3*q + 2*q**3 - 3*q + (-5*q + 3*q + q)*(2*q**2 - 3*q**2 + 0*q**2) + 2*q**3 + 2*q**3 - 2*q**3. 3*q**3 Expand (f + 2*f - f)*(0*f + 2*f + 2*f). 8*f**2 Expand (-2*c + c + 0*c)*((-5*c - 2*c + 6*c)*(-c - 2 + 2) + c - c + c**2 - 2*c**2 + 0*c**2 + 7*c**2). -7*c**3 Expand (-6*c**3 + 11*c**3 + 6*c**3 + 1 + 2*c**3 - 1 + (2*c**2 - 2*c**2 - c**2)*(2 - 2*c - 2))*(3 + 2 - 3). 30*c**3 Expand (0*w + 0*w + 4*w)*(0*w + w**2 + 0*w) - 2 + 2 + 3*w**3. 7*w**3 Expand (-9*i**4 - 6*i**4 - 13*i**4)*(-2 + 1 + 0 + (-1 + 1 + 1)*(-6 + 2 + 2)). 84*i**4 Expand (-4*n - 63*n + 124*n)*(2*n - n - 3*n). -114*n**2 Expand (-4*k - 6 + 6)*(2 + 2*k - 2 + 4*k - 4*k - k + k + 0 + 0 + (2 - 3 - 1)*(3*k - 5*k + 0*k)). -24*k**2 Expand -4*s**4 + s**4 + 2*s**4 + (3*s - 3 + 3)*(-s**3 - 5 + 5) + 2*s**4 - s**4 + 0*s**4 - s**4 - 3*s**4 + 3*s**4 + 2*s**4 - s**2 + s**2. -2*s**4 Expand (3 - 1 - 1)*(2 - 2 - w + (3*w - 2*w + w)*(0 + 3 - 1)). 3*w Expand (3 + 1 - 3)*(5 + 1 - 5)*(-3*i + 3*i + 2*i). 2*i Expand (h**2 + 2*h**2 - h**2)*(-3 + 2*h**2 + 3) + 0*h**4 + 2*h**4 + 0*h**4 + h - h + h**4. 7*h**4 Expand (1 - 2 + 0)*(-3*y**4 - y**4 + 3*y**4) - 2 + 2 + 2*y**4 + 2 + 1 - 1 + 2*y**2 - 2*y**4. y**4 + 2*y**2 + 2 Expand (3*i**3 - 3*i + 3*i + (3*i**2 + 2*i**3 - 3*i**2)*(-1 - 2 + 1) - i**3 - 2*i + 2*i)*(8 - 4 + 0)*(-1 + 2 + 1). -16*i**3 Expand (27 - 8 + 3)*(-h**2 + 4 - 4)*(2*h - 4*h + 0*h). 44*h**3 Expand (306*a**2 - 306*a**2 - 43*a**4)*(a - 2 + 2). -43*a**5 Expand (-5*f + 2*f + 4*f)*(-3*f + 0*f + f) + f**2 - 2*f**2 - f**2 - 3*f**2 + 3*f**2 + f**2 + (4*f - 8*f + 5*f)*(0 + 0 - 3*f). -6*f**2 Expand -23*n**3 - 18*n**3 - 3*n**3 - 5*n**3 + n**3 + 5*n**3 + (4*n**3 - 2*n**3 - 4*n**3)*(1 + 2 - 5) + 1 - 1 - 2*n**3 + 3*n**3 - 6*n**3 + 4*n**3. -40*n**3 Expand (0 + 7 - 2)*(1 + 3*q**3 - 1) + (1 - 1 - 3*q)*(3*q**2 - q**2 - 3*q**2). 18*q**3 Expand ((0 - 3 + 4)*(6 - 2 - 2) - 5 + 1 + 3)*(2*p**3 + 0 + 0). 2*p**3 Expand (0*g + 5*g + 4*g)*(g**2 - g**2 + 2*g**2). 18*g**3 Expand 3*s**2 + 0*s**2 - s**2 + 4*s**2 + 2*s**2 - 3*s**2 + (-s**2 + 0*s**2 + 3*s**2)*(-1 - 4 + 6). 7*s**2 Expand (2*b + 2*b + 2*b)*(0 + 3 - 5) - 1 - 3*b + 1. -15*b Expand (-2 - 1 + j + 5)*(j**3 + 4*j**3 - 4*j**3)*(-4*j - 3 + 3). -4*j**5 - 8*j**4 Expand (-d**4 + 6*d**4 - 3*d**4)*(-d + 0*d - d)*(-6 + 5 - 2). 12*d**5 Expand (-45*t + 39*t + 21*t)*(-2*t - 3*t + 3*t). -30*t**2 Expand (x**4 - 5*x**4 + x**4)*(-3 + 1 - 2). 12*x**4 Expand 4*v**3 - 3*v**5 - 4*v**3 + (-4*v - 2*v**4 + 4*v)*(5*v - v - 3*v). -5*v**5 Expand (2*f - 2*f - f**2)*(2*f**3 + 2*f**3 - 5*f**3) + 0 + f**5 + 0 + (-2*f**2 + 1 - 1)*(-3*f**3 - 2*f**3 + 4*f**3). 4*f**5 Expand -z - z**2 + z + (4 - 2 + 0)*(0*z**2 + 5*z**2 - 3*z**2) - 1 + 2*z**2 + 1 + z**2 - 2 + 2 + 0*z**2 + 0*z**2 - z**2 + (0*z - z + 3*z)*(-5*z + 2*z + z). z**2 Expand (3 - 3 - 5*g)*(3 - 1 + 0) - g + 2*g + 3*g. -6*g Expand (-7*m**2 + m**2 - m**2)*(-9 + 9 + 7*m)*(-2*m**2 - 3*m**2 + 3*m**2). 98*m**5 Expand 4*m + 8*m + 0*m - 2*m + 2 - 2 + 0*m + m + m + 3*m - 2*m - 2*m + (3 + 1 - 2)*(m + m - 3*m) + 2*m - 4*m + 0*m - 4 + 4 + 2*m + 5*m - m - 2*m. 11*m Expand (b - 2*b + 3*b)*(3 + 2*b - 3) + 3*b**2 - 2*b**2 - 2*b**2 + 5*b**2 - 4*b**2 - 3*b**2 + (1 - 1 - 1)*(-3*b**2 + b**2 + b**2). 2*b**2 Expand (-d**2 - 2*d**2 + 0*d**2)*(10 - 10 - 15*d). 45*d**3 Expand 2 - 3 + 3 - 2*k + (3*k - k - 4*k)*(3 - 4 + 3) - 2*k - 2 + 2 - 4*k - k + 4*k. -9*k + 2 Expand -4*f + f + 10*f
{ "pile_set_name": "DM Mathematics" }
third derivative of f(y). Factor v(p). -3*p**2*(p - 2)*(p - 1)/7 Let -92/5*y - 217/5*y**2 - 29*y**3 + 21/5*y**5 - 12/5 + 13/5*y**4 = 0. Calculate y. -2, -1, -1/3, -2/7, 3 Let m(y) = -155*y**3 - 3*y**2 - 5*y - 2. Let x be m(-1). Let g = -152 + x. Let 0 - 9/4*o**4 + 3/2*o - 3/4*o**g - 3/4*o**5 + 9/4*o**2 = 0. Calculate o. -2, -1, 0, 1 Let j(h) = -10*h**2 + 4*h - 4*h**2 + 8 + 13*h**2 - 3. Let v(t) = 4*t**2 - 12*t - 16. Let k be (1*16)/(1/1). Let d(f) = k*j(f) + 5*v(f). Factor d(y). 4*y*(y + 1) Let j(d) be the third derivative of 1/15*d**5 + 1/30*d**6 + 0*d - 1/84*d**8 + 0*d**4 + 14*d**2 + 0 + 0*d**3 - 2/105*d**7. Factor j(x). -4*x**2*(x - 1)*(x + 1)**2 Let d(a) be the first derivative of a**4/4 - 20*a**3/3 - a**2/2 + 20*a - 530. Determine w, given that d(w) = 0. -1, 1, 20 Let l(i) be the second derivative of -i**4/4 + 107*i**3/2 + 162*i**2 - 219*i - 1. Factor l(z). -3*(z - 108)*(z + 1) Let t(p) be the first derivative of -3*p**5/20 + 3*p**4/4 + 9*p**3/2 + 15*p**2/2 + 21*p/4 + 203. Factor t(j). -3*(j - 7)*(j + 1)**3/4 Let y(o) be the second derivative of -o**4/30 - 2*o**3/5 - 8*o**2/5 + 111*o - 2. Suppose y(v) = 0. Calculate v. -4, -2 What is a in -92/19*a + 0 + 2/19*a**2 = 0? 0, 46 Let x(a) be the third derivative of -a**6/60 + 3*a**5/10 - 3*a**4/2 + 206*a**2. Find l such that x(l) = 0. 0, 3, 6 Let j(k) = 11*k**4 + 62*k**3 + 29*k**2 - 138*k - 9. Let i(o) = 3*o**4 + 16*o**3 + 7*o**2 - 34*o - 2. Let x(b) = 9*i(b) - 2*j(b). Factor x(s). 5*s*(s - 1)*(s + 2)*(s + 3) Factor 0 + 2048/3*k + 2/3*k**3 - 128/3*k**2. 2*k*(k - 32)**2/3 Factor -3*y**3 - 6*y**2 - 5*y - 1/2*y**4 - 3/2. -(y + 1)**3*(y + 3)/2 Let i(f) be the third derivative of -1/1848*f**8 + 1/660*f**6 + 0 + 20*f**2 + 0*f + 0*f**3 + 1/1155*f**7 + 0*f**4 - 1/330*f**5. Factor i(p). -2*p**2*(p - 1)**2*(p + 1)/11 Let q(o) be the third derivative of -3*o**8/224 - 11*o**7/560 + 13*o**6/320 + 11*o**5/160 - o**4/64 - 73*o**2. Determine a, given that q(a) = 0. -1, 0, 1/12, 1 Let t(a) be the second derivative of -14*a - 24/5*a**6 - 42/5*a**5 - 8/7*a**7 - 9/2*a**3 - 3/2*a**2 + 0 - 8*a**4. Factor t(m). -3*(m + 1)*(2*m + 1)**4 Let q(p) be the third derivative of p**9/12096 - p**8/2016 - p**7/144 - p**6/36 - 13*p**5/60 - 20*p**2. Let a(j) be the third derivative of q(j). Factor a(l). 5*(l - 4)*(l + 1)**2 Let g(z) = -7*z**4 + 5*z**3 + 2*z**2 - 6*z + 18. Let d(a) = 15*a**4 - 11*a**3 - 3*a**2 + 15*a - 39. Let u(m) = 6*d(m) + 13*g(m). Factor u(k). -k*(k - 3)*(k + 2)**2 Let x = -110 + 128. Let f be (-28)/x*168/(-196). Let -16/3 - 4*k + f*k**2 = 0. What is k? -1, 4 Let s(a) be the third derivative of 5*a**5/72 - 5*a**4/24 + 5*a**3/36 - a**2 + 1. Factor s(p). 5*(p - 1)*(5*p - 1)/6 Suppose -44*x + 283*x = 0. Find d, given that -3/2*d**2 + 3/2*d + x = 0. 0, 1 Let u(v) = 8*v**2 - 208*v + 2692. Let y(c) = -17*c**2 + 416*c - 5381. Let f(o) = 9*u(o) + 4*y(o). Factor f(t). 4*(t - 26)**2 Suppose 110 = -t - 3*d + 95, 12*d + 87 = 5*t. Factor 2/7*m - 2/7*m**t + 0*m**2 + 0. -2*m*(m - 1)*(m + 1)/7 Let d be 1318/(-6) - ((-10)/(-3) - 3). Let q be 40/d - (-35)/11. Let 6/5*x**2 + 2/5*x**q - 2/5*x - 6/5 = 0. What is x? -3, -1, 1 Factor 21632/17 + 2/17*x**2 + 416/17*x. 2*(x + 104)**2/17 Suppose -51*r = -10*r - 6*r - 70. Factor -2 + 20/3*p + 5/6*p**3 - 9/2*p**r. (p - 3)*(p - 2)*(5*p - 2)/6 Determine m so that -34/3 - 1/3*m**2 - 19/3*m = 0. -17, -2 Let a(l) = -2*l**2 - 6*l - 2. Let s be a(-1). Let j(t) be the first derivative of 1/8*t**4 - t + 3 + 1/3*t**3 - 1/4*t**s. Find y such that j(y) = 0. -2, -1, 1 Suppose -21/4*v**3 + 51/2 - 171/2*v**2 + 261/4*v = 0. Calculate v. -17, -2/7, 1 Suppose 45 = 5*x, 1013 - 959 = -t + 6*x. Find d, given that -2/9 + 2/9*d**2 + t*d = 0. -1, 1 Let h(y) = -y**2 - 19*y - 35. Let k be h(-17). Let x be (-2 - k)/(-1)*0/(-19). Suppose 2/3*d**3 - 4/3*d**2 + x + 0*d = 0. Calculate d. 0, 2 Let y be (-60)/(-5)*(-6)/8 - -9. Suppose f**2 - 1/4*f + f**4 - 1/4*f**5 - 3/2*f**3 + y = 0. Calculate f. 0, 1 Suppose -12/5*n**4 + 12/5 + 0*n**2 - 4*n**3 + 22/5*n - 2/5*n**5 = 0. Calculate n. -3, -2, -1, 1 Let a(u) = 6*u**4 - 34*u**3 - 105*u**2 - 99*u - 25. Let i(p) = -p**4 + p - 1. Let n(s) = a(s) + 3*i(s). Factor n(m). (m - 14)*(m + 1)**2*(3*m + 2) Let i(u) be the third derivative of -u**7/630 + u**6/180 + 9*u**2 - 6*u. Determine z so that i(z) = 0. 0, 2 Find j, given that -68/5*j - 2/5*j**2 - 578/5 = 0. -17 Let j(h) be the third derivative of -h**7/210 + h**6/30 - h**5/30 - h**4/6 + h**3/2 + 2*h**2 - 60*h. Factor j(a). -(a - 3)*(a - 1)**2*(a + 1) Suppose -46 = -11*c - 2. Let h(o) be the second derivative of 0 + 1/42*o**7 + 0*o**3 + 0*o**2 + 1/20*o**6 - 1/20*o**5 - 9*o + 0*o**c. Factor h(k). k**3*(k + 2)*(2*k - 1)/2 Let p(f) = f**2 + 56*f + 761. Let l be p(-23). Suppose -15/2*q**l + 25*q + 20 = 0. What is q? -2/3, 4 Factor 6*a**2 + 0 - 4/3*a - 8*a**3 + 10/3*a**4. 2*a*(a - 1)**2*(5*a - 2)/3 Let t(n) = 14*n**3 + 9*n**2 - 5*n - 103. Let p(x) = 11*x**3 + 9*x**2 - 4*x - 104. Let w(f) = -5*p(f) + 4*t(f). Factor w(q). (q - 6)**2*(q + 3) Let z(b) be the third derivative of -b**5/60 + b**4/12 - 3*b**2 - 19. Let n(o) = -o**2 - 5*o - 4. Let s(k) = n(k) - 5*z(k). Solve s(u) = 0. -1/4, 4 Find y such that 88*y + 0*y**2 - 57 + 26 + 31 - 4*y**2 = 0. 0, 22 Suppose 98*s = 99*s - 2. Let v(x) be the third derivative of 0*x - s*x**2 + 1/30*x**5 + 0 + 0*x**3 + 0*x**4. What is u in v(u) = 0? 0 Determine d so that 6 + 1140*d**2 - 383*d**2 - 27*d - 387*d**2 - 385*d**2 = 0. -2, 1/5 Let h = 2191/2 - 4239/4. Factor 23/4*a**2 + 121/4 - 1/4*a**3 - h*a. -(a - 11)**2*(a - 1)/4 Let b(g) = 7*g**2 - 16*g + 9. Let h(r) be the first derivative of 2*r**3 - 8*r**2 + 10*r - 19. Let y(j) = 4*b(j) - 5*h(j). Factor y(a). -2*(a - 7)*(a - 1) Let h(o) be the second derivative of -1/2*o**3 - 1/24*o**4 + 0 - 9/4*o**2 - 17*o. Find d, given that h(d) = 0. -3 Let r(i) be the first derivative of 46 - 22/35*i**5 - 4/21*i**6 + 1/7*i**2 + 0*i - 9/14*i**4 - 2/21*i**3. Determine t so that r(t) = 0. -1, 0, 1/4 Let t(q) be the third derivative of 1/24*q**4 + 0 - 1/120*q**6 + 0*q**3 + 1/210*q**7 - 3*q**2 - 1/60*q**5 + 0*q. Factor t(i). i*(i - 1)**2*(i + 1) Let v = -1596 - -8033/5. Let n = 61/5 - v. Let -6/5*h**2 + 0*h + 2/5*h**3 + n = 0. What is h? -1, 2 Let u be 7/(-14)*(1 + -8 + 3). Let w be 8/(-6)*(-9)/6. What is g in 3*g**2 + g - u*g**2 + 0*g**w = 0? -1, 0 Factor 498 + 24*k**3 - 45*k**2 + 15*k**4 - 90*k**3 - 498. 3*k**2*(k - 5)*(5*k + 3) Solve -14/9*v**2 + 2/9*v**4 - 2/9*v + 4/9 - 4/9*v**5 + 14/9*v**3 = 0. -2, -1/2, 1 Let m(i) be the first derivative of 17/3*i**2 - 1/9*i**3 + 51 - 289/3*i. Solve m(o) = 0. 17 Let a(s) be the third derivative of -s**6/60 - s**5/30 + 5*s**4/2 + 159*s**2 - 2. Factor a(j). -2*j*(j - 5)*(j + 6) Determine l, given that 11/8*l**4 + 97/8*l**2 - 1/8*l**5 + 9/2 - 47/8*l**3 - 12*l = 0. 1, 2, 3 Let u(a) = -9*a**2 - a + 1. Let r(m) = -4*m**2 - m. Suppose 6 = -7*x + 8*x. Suppose v = -9 - 5. Let c(p) = v*r(p) + x*u(p). Suppose c(b) = 0. Calculate b. -3, -1 Let r be ((-270)/33 - -8) + 41/165. Let k(h) be the second derivative of -3*h - 2/3*h**3 + 0 + 0*h**4 + h**2 - r*h**6 + 1/5*h**5. Let k(c) = 0. What is c? -1, 1 Let o(h) = -7*h - 8. Let v be o(-4). Suppose 6*b - 10 = v. Let -17*s**2 - 6 + 15 + b*s**2 - 8*s**3 - 5 = 0. Calculate s. -1, 1/2 Let a(y) be the third derivative of 0*y + 0*y**3 + y**2 + 0*y**4 - 1/210*y**6 + 0 - 1/105*y**5. Suppose a(i) = 0. Calculate i. -1, 0 Let b(d) be the first derivative of -3*d**5/5 - 3*d**4/2 + d**3 + 3*d**2 - 155. Factor b(k). -3*k*(k - 1)*(k + 1)*(k + 2) Let i(m) = -4*m - 13. Let f be i(-4). Determine u, given that 2 - 14*u - 13*u**2 - 50*u**f + 51*u**2 - 6*u**5 + 32*u**4 - 2*u**5 = 0. 1/2, 1 Let c(x) be the first derivative of 5*x**4/4 + 15*x**3 + 135*x**2/2 + 135*x - 81. Let c(s) = 0. What is s? -3 Let v be 4 - ((-1)/(-2) - (-75)/24). Let z(b) be the first derivative of v*b**2 - 1/4*b - 3 - 3/16*b**4 + 1/12*b**3. Determine p so that z(p) = 0. -1, 1/3, 1 Let j(f) be the second derivative of 0 + 0*f**5 + 0*f**2 + 0*f**3 + 2/21*f**7 - 17*f + 0*f**4 - 4/15*f**6. Solve j(t) = 0. 0, 2 Let p(n) = -152*n**3 + 522*n**2 - 105*n + 11. Let b(s) = 2*s**3 + s + 1. Let g(f) = -5*b(f) + p(f). Find c, given that g(c) = 0. 1/9, 3 Suppose 0*h - 4 = 4*h. Let u be 21 + (-4)/h + -2. Find y such that 16*y**4 - 10*y**5 - 5*y - 5*y**3 + u*y**3 - 1
{ "pile_set_name": "DM Mathematics" }
+ 1.039. Let m = -838.016 + o. Is m smaller than -5/2? False Let f(a) = -a**3 - 31*a**2 + 67*a + 30. Let u be f(-33). Let c be (u*(-273)/(-7))/1. Is -116 greater than c? True Suppose -3*m + 0*m + 260352 = -99*m. Which is smaller: m or -2710? m Suppose w + 5 = 0, -i - 2*w - 2 = 2. Suppose i*a - 5 = -y + 7*a, -21 = -4*y + 3*a. Suppose -4*t - y = -l + t, t = -2*l + 1. Is l greater than -1/43? True Let r(q) = -22*q - 998. Let g be r(52). Is g <= -2141? True Let f = 65 - -43. Let q = f + -1081/10. Suppose -4*a + 5 = -8*a + z, -5*a - 8 = -3*z. Is q <= a? False Let p be -328 - 16*(-2 - 30/(-12)). Which is smaller: -1 or p? p Let g(b) = b**3 - 3*b**2 + 2*b - 6. Let l be g(3). Suppose l = 12*i - 8*i - 28. Let w(x) = -x**3 + 6*x**2 + 8*x + 4. Let u be w(i). Does u = 10? False Let h = -2176 - -2175. Is h < 5/496? True Let l(v) = v**3 - 12*v**2 - 11*v - 18. Let x be l(13). Let g = 6 - 0. Let k be (-15*x/12)/g. Does k = -0.2? False Let i(j) = 105*j - 2463. Let n be i(26). Is n >= -6/7? True Let j = 7.51 - 6.36. Let u = j + -1.59. Is u bigger than 0? False Let m(t) = -5*t + 5. Let c be m(0). Suppose -a = 2*k - c*a + 56, 3*a = k + 29. Let f = -57 + 32. Do k and f have different values? True Let f be -1 + 1475/(-100) - -16. Which is greater: 83/6 or f? 83/6 Let f be -2*(-2)/16*24/6. Let z be f*-4*(-3)/60*-34. Let c = z + 3152/465. Is 1 > c? True Let n = 430 + -390. Suppose 0*r - 4*w + 25 = r, 0 = -2*r + 5*w + 89. Suppose 6 = r*o - n*o. Is 0 at least o? True Suppose -4*b - 5*u = 26, -2*b - 4*u - 2 = 14. Let p be (-11)/(-33) + (480/9)/b. Is p smaller than 1/9? True Suppose -3*r = 15, -5*r + r - 125 = 3*w. Let j = -106/3 - w. Is 7 greater than j? True Let t = -0.757 - -0.557. Is 190/9 >= t? True Let b be 28/6*(-495)/20*-2. Suppose -4*j + b = 247. Are j and -4 equal? True Let d = -81 + 74. Do 399 and d have the same value? False Let g = -3 + 2. Let c = 0.4299 - -1051.3701. Let a = -1051 + c. Are g and a unequal? True Let w = 150 - 150.148. Let n = -0.053 - w. Is n less than or equal to 0.1? True Let x be 2*(3 - 28/(-8)). Suppose 0 = 18*j - 5*j - x. Let t be 3/(252/345) - 4. Which is smaller: j or t? t Let i = -56146024/2425 - -23153. Let b = -4531/773575 - i. Is b smaller than 1? True Suppose 12 = -4*b, 0 = 4*v - 2*b - 0 - 14. Let l be (-8)/3*v/24. Suppose -6*i + 23*i = 17. Is i at least l? True Suppose -f + 46 = -3*r, 54 = 3*f - 2*r - 98. Let d(y) = y**3 + 2*y**2 + y. Let i be d(3). Suppose c = f - i. Is 4 at most as big as c? True Let h = 202 - 157. Let k = -50 + h. Which is smaller: -0.17 or k? k Let a = 2397 - 3259. Which is bigger: -864 or a? a Let n = 44.3 + -40. Let x = 363785/627 - -237/209. Let b = x - 581. Which is bigger: n or b? n Let r be 54/(-5832)*(-1 - (-7)/3). Suppose 3*y = 5 - 8. Which is smaller: y or r? y Let v = 6749 + -6750. Is v greater than -5/1567? False Let f be 609/(18/(5 - 131)). Which is smaller: f or -4265? -4265 Let b = -10553/16800 + -1/2400. Suppose 15 = -5*t - 5*s, t - 2*s - 8 = -5. Do b and t have the same value? False Suppose 0 = 3*u + 4*r - 350 - 81, 5*r = 2*u - 318. Is u smaller than 31? False Let y = 0.15 + -0.09. Let o = -2.06 + y. Let n = 651 - 613. Which is greater: o or n? n Let s = -31659.48 + 31659. Which is smaller: s or -0.12? s Let c(d) = 2*d**2 + 73*d + 122. Let g be c(-35). Suppose g*q = 26 + 59. Is 9 at least as big as q? True Let s be ((-10)/1)/((-20)/2). Which is greater: s or -29/74? s Let o be (3/(-5) - -1)/(13/(-390)). Suppose 8*t - 2*m = 9*t + 11, 4*t - 4*m + 20 = 0. Is t equal to o? False Let z = -61 - 71. Let y = -131 - z. Which is smaller: y or 11? y Let b be (18/(-55))/(621/135 - 33). Which is smaller: -1 or b? -1 Let k be (24/(-14))/(-6) + 1674/21. Let i = k + -80. Which is smaller: 30/23 or i? i Suppose -2*a = -4*t + 210, -12*a + 15*a - 49 = -t. Are 100 and t unequal? True Let y be (-2)/((-86)/30 + 3). Suppose -83 = 5*j - 3*q, 3*j - 89*q + 84*q + 53 = 0. Does y = j? False Suppose 4*w - 48 = 5*i, 4*i + 58 = 3*w + 23. Let y(n) = n**3 - 14*n**2 - n + 30. Suppose 14*f = 6*f + 112. Let l be y(f). Is w greater than l? True Let j = 39 - 39.23. Let m = -0.0297 + 21.1297. Let w = m + -21. Which is bigger: j or w? w Let v be ((-22)/8 - 47/94)*-4. Let u be (-115)/(-4) - (v + -7 + -7). Is u less than 31? True Let d(x) = -x**2 - 24*x - 50. Let j be d(-20). Let r be 10*((-837)/36)/(j/(-16)). Let q be (((-16)/20)/(-4))/(r/(-5)). Which is smaller: 0 or q? q Let t = -254 - -418. Let l = 163.71 - t. Which is smaller: l or 0.1? l Let p = -14 - -24. Suppose p = 6*q - 14. Let h be (q/(-10))/((4 - 3)/(-1)). Which is greater: h or 2/3? 2/3 Suppose -21*r - 108 = -25*r. Let v be 2*(-4 + r/6). Which is smaller: -2/85 or v? -2/85 Let x = 12589 - 138530/11. Is x smaller than 0? True Suppose -2*h + 280 = -3*w, -30 = -5*h - 5. Let t(m) = m**3 - 2*m**2 - 2*m. Let f be t(3). Let i be (27/w)/(f/4). Is i at least 1? False Let m = -266.175 - -266. Let i = m - 80.825. Which is smaller: i or 1? i Let z(r) = 55*r + 176. Let p be z(3). Is 341 bigger than p? False Let f be (-3)/4*(-2)/87. Let o(r) = -29*r**3 - 2*r**2 + 6*r + 1. Let m(u) = -5*u**3 + 1. Let v(n) = -6*m(n) + o(n). Let w be v(1). Which is bigger: w or f? f Let x = 541 - 4337/8. Let v = -203 + 203.04. Which is greater: v or x? v Let c(i) = -i**3 + 15*i**2 - 16*i + 20. Let r be 18 + (-8)/(4/2). Let l be c(r). Let z be ((-74)/4)/(2 + 12/l). Which is smaller: -35 or z? z Let r = -637 - -639. Suppose -161 + 5 = r*t. Is t <= -77? True Suppose -3*f + 472 - 178 = 18*f. Suppose -5*v - 3 = 2. Let m = v - -15. Is f at most m? True Suppose 72 = -13*j + j. Let f be (102/15 + j)/((-41)/5). Which is smaller: 0 or f? f Let y be 39/(-162) - (1 - (-8)/(-12)). Let n = 13/27 + y. Do -1 and n have different values? True Suppose 3*u - 10 = -2*u - 3*i, -5*i + 25 = 0. Which is smaller: 1/202 or u? u Let o(d) = 151*d**2 - 19*d - 289. Let g be o(-11). Let p = -673027/37 + g. Are p and 0 equal? False Suppose -7*x - 14*x + 63 = 0. Suppose x*d = 4*t - 18 + 12, -2*t + 2*d = -4. Which is smaller: 12/77 or t? t Let g = 9 - 57. Let y = -86 - g. Let a = y + 38.6. Which is smaller: a or -0.1? -0.1 Let y be 64 + -67 + -1 + (0 - -1). Let o be -1*y/(-21)*(-1364)/11. Which is greater: o or 17? o Let y(w) = 2*w**3 - 18*w**2 + 23*w - 14. Let d be y(8). Let a = -0.13 + -2.87. Which is smaller: a or d? a Let p = 3 - -7. Let w = 0.1008 + 29.8992. Let d = p - w. Which is greater: 0 or d? 0 Let r(p) = -p**2 - p + 7. Let f be r(3). Let i be f/(45/12)*(-2)/192. Let m = i - 11/216. Which is smaller: m or 1? m Let a = -1190 - -1198. Which is greater: -587 or a? a Let i = -1463 + 1461. Do i and 313 have different values? True Let o = 57 - 56. Let r be 2 - o - -2 - 57/27. Let b = 0 - -2. Are r and b nonequal? True Suppose -177*v - 5*m + 380 = -172*v, -5*v + 5*m + 360 = 0. Which is smaller: 5 or v? 5 Suppose 10*k - 2*k + 464 = 0. Let n = -98 - k. Let o = 55 + n. Which is greater: o or 16? 16 Suppose 0 = 9*g - 5*g - 8. Let y be -2 + 4 + 1 + -1 + g. Suppose 2*s = -2*q, 14 = -y*q - 0*q + 3*s. Which is smaller: -14/11 or q? q Let u = -3345 + 3345.37. Is u <= -0.5? False Let a = 0.0463 + 19.1537. Let g = -25.2 + a. Is -0.06 > g? True Let b = 20 + 6. Let d = b + -25. Let j be (d - (44/12 + -2))*-1. Are j and -1/3 nonequal? True Let k = -2.07 + 2.66. Let f = -2.41 - k. Which is bigger: 53 or f? 53 Let d be 5/((-340)/76) - (-1)/1. Let h = d + -9/68. Let x = 47.15 - 47. Is x equal to h? False Let n = 13094 + -13093. Which is bigger: 45/808 or n? n Let x = -1.27 + 0.05. Let a = x + -1. Let v = -0.22 - a. Which is smaller: v or -1? -1 Suppose 0 - 8 = -4*f. Suppose -f*v = 2*v - o + 5, -15 = -v - 3*o. Let c be 3/(1 - (-6 + 6)). Which is greater: c or v? c Let c be (6/8)/(366/488). Let p = -11 - -8. Let f be 16/p*84/(-16). Which is smaller: f or c? c Suppose 42*t = 4*y + 41*t, 0 = y - 5*t. Let a be (y - (-30)/11) + -4. Is a at most -1? True Let s be (-1 - -22)/7*(-1 - 0). Let o be s + 30/(-20)*1*-2. Which is smaller: -2/153 or o? -2/153 Let z be 864*(14 + (-58)/4). Is -435 less than or equal to z? True Let f = 1.484 + 4.486. Let i = f - 6. Suppose 3*n = 12, g = -21*n + 26*n - 22. Is i bigger than g? True Let o(d) = -3*d**2 + 3*d - 3. Let j(m) = -m**2 + m + 7. Let t be j(3). Let c be o(t). Let s be c*9/(-6)*2 + -2. Is s less than or equal
{ "pile_set_name": "DM Mathematics" }
*r = -5*r. Solve 0 = -r*i - i - 3 for i. -3 Suppose 3*m - 2 = -2*t, -3*m = -4*t + 3*t - 17. Let l = m - 4. Suppose f + 3*k + 2 = 0, -f - k + 4 = 4*f. Solve l*q = q + f for q. -1 Let g(x) = x**3 + 10*x**2 + 13*x + 13. Let u be g(-9). Let f = u - -23. Solve f*r = -2*r + 6 for r. 3 Let b = 34 - 56. Let u = b - -31. Solve 0 = w + 2*w + u for w. -3 Suppose -8 = -4*b + 8, -2*b = -2*m - 4. Solve m = l - 0 for l. 2 Suppose -3*t + 20 = 4*q, -2*q + 20 = 3*t - 4*t. Solve 13*w - q = 9*w for w. 2 Let j(x) = -x**3 - 4*x**2 + 4*x - 1. Let q be j(-5). Let u be (-3)/2 + 14/q. Solve -2 + 10 = u*t for t. 4 Let j(n) = 4*n**2 + 15*n - 9. Let z(t) = -5*t**2 - 16*t + 10. Let b(c) = -6*j(c) - 5*z(c). Let h be b(10). Solve -h*l - l - 15 = 0 for l. -3 Let q = -14 + 20. Let i = -4 + q. Solve 0 = 5*u - i - 13 for u. 3 Let t(f) = 2*f - 4. Let b be t(7). Solve 0 = m - 3*m + b for m. 5 Let c(k) = -k + 14. Let w be c(5). Solve -x + w = 4 for x. 5 Suppose -9*t + 5 = -4*t. Let m = t + -1. Solve 2*j = -m*j + 8 for j. 4 Let j(c) = -c - 3. Suppose 0 = z + 5*a - 17, -6*a + 5*a = -4*z - 16. Let g be j(z). Solve g*p = -4*p for p. 0 Suppose -9 = 3*n - 3*o, 2 = -o + 7. Suppose -4*u - 2 = -3*r - 28, 0 = -n*u - 5*r. Solve 5*a = -0*a + u for a. 1 Suppose h + 4 = 3*h. Suppose -3*w - 53 = -h*k - 2*k, 27 = 2*k - w. Solve 11 + k = 5*v for v. 5 Suppose -5*p + 28 = 3. Suppose 9 = p*n - 16. Solve 5*c + n = -0 for c. -1 Suppose -1 = -2*u + 7. Let l = u - 2. Suppose -l*r = r. Solve r = -0*g - g - 1 for g. -1 Let r = 49 - 45. Solve 9 = -r*g - 3 for g. -3 Suppose 0 = -5*g - 9 + 9. Solve 0 = 3*o - g*o + 3 for o. -1 Let k be ((-2)/(-8))/((-3)/(-24)). Solve 2*s - k = -6 for s. -2 Let k = 15 + -10. Let f = -1 + 3. Solve 6*r - f = k*r for r. 2 Suppose 3*v - 24 + 0 = 0. Solve 5*b = v*b - 6 for b. 2 Let j(f) be the third derivative of -f**4/12 - 2*f**3/3 + f**2. Let q(z) = -4*z + 4. Let c be q(2). Let u be j(c). Solve -2 = -u*h + 6 for h. 2 Let c(b) = b + 14. Let x be c(-9). Solve 4*o + 1 - x = 0 for o. 1 Let m = 10 + -10. Let p = 0 + m. Let t = p + 3. Solve -t*g + 6 = -5*g for g. -3 Suppose -3*v + 5 = -10. Suppose d + d = 4*g, v*d - 4*g = 0. Suppose d = -0*m + 5*m - 10. Solve 2*o - 4*o = -m for o. 1 Let n(f) = 2*f - 15. Let g(o) = -o + 7. Let s(p) = 5*g(p) + 2*n(p). Let i be s(3). Let u be 9 - ((-8)/4 - -5). Solve u*j = i*j + 16 for j. 4 Suppose -2*j - 19 = 3*t, 2*j = t + t + 6. Suppose -5*n = -h - 0 + 1, 0 = -3*n + 3. Let q be ((-3)/h)/(j/48). Solve -z + q = -5*z for z. -3 Let q = 35 - 31. Solve q = w + 3 for w. 1 Let a(n) = n**3 + 2. Suppose -5 = x, -5*s + 8 = -x + 3. Let h be a(s). Suppose 0 = 2*w - 2 - h. Solve 0 = i + w*i + 15 for i. -5 Let k be (-60)/(-70)*14/4. Suppose -t - 3*y + 8 = -4*y, -16 = -2*t + 4*y. Solve -t*q + k*q = -10 for q. 2 Suppose 3*y = -3*k, y + k + 2*k + 6 = 0. Solve 0*i - y*i - 15 = 0 for i. -5 Let n = -5 + 8. Let g = n - 2. Let k = 5 - g. Solve 0 = 2*d - k*d for d. 0 Let h(l) = l**3 - 2*l**2 + 1. Let t be h(1). Let b = t - -7. Solve -4*w - 1 = b for w. -2 Let l(v) = v + 5. Let a = 7 - 12. Let y be l(a). Solve p - 1 + 3 = y for p. -2 Suppose -4*w = -3*q + 26, 0 = -0*w + 2*w - 2. Solve 4*h + 2 = q for h. 2 Let g = 3 + 0. Suppose g*f + 4 = 19. Let l be (-1 + -2)*3/(-9). Solve -f + l = 4*n for n. -1 Suppose 3*i + o = 6*o + 19, 4*i - 5*o = 22. Solve -c + 2*c = -i for c. -3 Suppose -3*n = -1 - 8. Suppose c - 12 = -n*c. Solve -c = d + 1 for d. -4 Suppose 5*b - 3*a = -a + 7, 3*a - 9 = b. Solve -3*u + 6 = -b for u. 3 Let r(a) = a**3 - 10*a**2 - 12*a + 15. Suppose -3*j - 2*h = -23, -5*h + 9 - 34 = 0. Let p be r(j). Solve p = u + u for u. 2 Let t(o) = -o**3 - 5*o**2 - 5*o - 5. Let n be t(-5). Let l(c) = c**2 - 3. Let i be l(-5). Suppose 3*j + 18 = m, m = -0*m - 5*j - i. Solve 2*a = -m*a - n for a. -4 Suppose -12*h = -h - 44. Solve h*r = -5 - 15 for r. -5 Let g = -13 - -21. Suppose -7*u = -g*u. Solve u = -3*h + 3 for h. 1 Let m(c) = c**2 - 3*c - 7. Let z be (21/9 + -2)*15. Let a be m(z). Suppose -1 = -a*o + b - 0, 2*o = -3*b - 3. Solve o = 4*l + 2 - 10 for l. 2 Suppose 3*u + 3 = -5*h, 0 = -h - 0*h - 3. Solve 0*f = u*f + 4 for f. -1 Let v = -8 + 0. Let s be v/(-20) + (-13)/(-5). Suppose -3*l - l = -s*u - 11, -3*u = 3*l - 3. Solve -l*m + 1 = -7 for m. 4 Suppose 0*t + 5 = -t. Let n = 9 + t. Solve -8 - 12 = n*u for u. -5 Let b be (-6)/(-1)*4/6 + -3. Solve 0*m - b = m for m. -1 Suppose -d = 3*d. Suppose -2*z = -4*z + 6. Suppose z*q - 1 - 5 = 0. Solve -q*x = -d*x for x. 0 Let p = 21 - 11. Let v(i) = i**2 - i. Let n be v(-1). Suppose 4*w = n*w + p. Solve -17 = -w*z + 8 for z. 5 Suppose -5*h = -0*h - 10. Suppose 0 = 2*b + 5*n - 25, -10 = -0*b - 3*b - h*n. Solve 0*t + 2*t - 2 = b for t. 1 Let r(n) = n**3 - 2*n**2 - 4*n + 4. Suppose 3*k - 2*k = 5. Suppose 6 = 3*f + 3*q - 12, -k*f - 2*q + 21 = 0. Let t be r(f). Solve -2*i - 3 - t = 0 for i. -2 Let v = 12 + -4. Solve 5*l + v = 3*l for l. -4 Suppose -f + 10 + 1 = -3*n, 2*f - 19 = 3*n. Suppose -4*g + 2*x = -10, 13 = -2*g + 6*g + x. Let o = f - g. Solve o*y = y for y. 0 Suppose -3*l + 134 = -l. Suppose 3*d + l = 4*d. Suppose d = 5*r - 38. Solve -r = 5*m - 6 for m. -3 Let y be (-3)/9*(-16 + 1). Solve y*o + 1 = -19 for o. -4 Suppose 0 = -2*k - 4*u, k + 0*u = -u. Let l be -1 + 1 - (-6 + 0). Let v be (-16)/24 + (-16)/(-6). Solve k*m - v*m = l for m. -3 Let c(b) = -b - 11. Let d be c(-11). Solve 0 = o + 3 - d for o. -3 Let a(v) = v**2 + 3*v + 4. Let z be a(-2). Suppose -1 = -o + z. Solve o*w - w + 6 = 0 for w. -3 Suppose 3*v - 5 - 1 = 0. Solve -3*l + v*l = -3 for l. 3 Let n = -105 - -111. Solve 4 = 2*m - n*m for m. -1 Suppose 7*g - 6*g - 5 = 0. Let c(s) = s**2 - 2*s. Let l be c(2). Solve l*q - 20 = -g*q for q. 4 Let w = -17 + 26. Solve 2*b = -b - w for b. -3 Let t be (6/(-9))/((-5)/45). Suppose -2*u = -t, c - 24 = -4*u - 3. Solve -w + 4*w = -c for w. -3 Suppose -3*h + 20 = 5*r - 27, 3*r - 12 = 0. Let z(c) = 11 - c + 4 - 4. Let i be z(h). Solve -3*g - i + 8 = 0 for g. 2 Let u be (-3)/(-2)*(-40)/(-6). Let b be 7/2 + 15/u. Suppose c = -0*c. Solve b*o = -c*o for o. 0 Let o = 5 - 4. Let s be (o/2)/(2/20). Solve s + 4 = -3*u for u. -3 Let k be 4 - (16/2)/2. Solve k*y + 3*y = -3 for y. -1 Suppose -2*w + 9 = -5*h, 0*h - 2*h = 3*w + 15. Let x be (-1)/((-93)/30 - h). Let z = x - 9. Solve 0 = 3*p + z + 8 for p. -3 Let d = -32 - -37. Solve 10*w = d*w for w. 0 Suppose 2*m - 40 + 12 = 0. Let p = m - 9. Solve p*o = o for o. 0 Let d(v) = 6*v + 2. Let f be d(0). Suppose 3*y = -2*j + 52, -j - 2*y = -2*j + 12. Suppose -2*a = -a - j. Solve 2*l = -f*l - a for l. -5 Let a(d) = -d**3 + 7*d**2 - 5*d - 2. Let l be a(6). Suppose 0 = -l*o + 17 - 5. Solve 3 = o*n + 18 for n. -5 Let w be 2/4 + (-117)/(-18). Let c = w + -16. Let q = c - -11. Solve -5*a = -3*a - q for a. 1 Suppose u = 2*u. Suppose -5 - 1 = -2*c. Suppose 4*o - 11 + c = 0. Solve -6 = -o*y - u*y for y. 3 Let z = -7 - -11. Suppose 2*j - 4*d + 22 = 0, -2*j + 4*d - 24 = -d. Let x = -4 - j. Solve z*o = o + x for o. 1 Let w(d) = 3*d - 12. Let m be (5 + -6)/(1/(-5)). Let z be w(m). Solve z*n = -2 + 11 for n. 3 Let d(l) = l**3 + 3*l**2. Let b be d(-3). Suppose c = -2*c + 24. Let u = b + c. Solve 0 = -3*y + u*y - 5 for y. 1 Let n be (0 - -3) + (-11)/(-11). Solve n - 9 = -p for p. 5 Let z(t) = t**3 - 9*t**2 + 8*t. Let h be z(8). Solve -a - 3*a = h for a. 0 Let h(m) = 2*m**2 + 2. Let r be h(2). Solve 0 = -0*d + 2*d - r for d. 5 Let g be (-36)/(-10) + (-3)/5. Solve 2*q + g = q for q. -3 Let a(b) = 6*b**2 - 9*b + 4. Let r(n) = 5*n**2 - 8*n + 4. Let f(z) = -4*a(z) + 5*r(z). Let s be f(3). Suppose -u = -s - 3. Solve p = 3*p + u for p. -2 Let b be 0 + 0/(-2) + 2. Let l = -55 + 57. Solve -b*a = -a - l for a. 2 Suppose 2*f - 6*f - 4*s + 32 = 0, 3*s = f + 8. Suppose -5*r - 6 = 4, -p + 2*r + f = 0. Let g(w) = w + 2. Let y be g(0). Solve p = -y*i + i for i. 0 Suppose 2*d + 2*r + 104 = 7*d, -5*d = 3*r - 94. Solve -4 = -4*p - d for p. -4 Suppose 2 = 9*a - 8*a. Solve -a*f - 15 = 3*f for f. -3 Let v(s) = -s**2 + 2*s. Let o be v(2). Suppose o = -0*f - f + 3. Solve f*p = 5 - 17 for p. -4 Suppose -4*s = 3*b + 10 + 12, -5*s = 3*b + 26. Let o be (s - -1) + 6*1. Solve 0 = -o*r + 14 - 5 for r. 3 Let x(f) = 26 - 58 - 3*f + 28. Let r be x(-8). Suppose -2*h + 24 = 2*h. Solve h*w = 2*w - r for w. -5 Let q = -7 - -10. Suppose 0 = -2*m + 5*m - z + 5, 3*m =
{ "pile_set_name": "DM Mathematics" }
e value of -7 + 0 + (10 + 1 + -3 - -14)? 15 Evaluate -8 + (-7 - -48 - 30). 3 What is the value of 140 + -76 + -63 - (-11 - 1)? 13 What is (-2 + 2 - 2) + (-41 - -21 - -16)? -6 Calculate 34 + -23 + -1 + -4 + -11 + -6. -11 Calculate 13 + 9 + -20 - (3 + 0). -1 Calculate 5 + 17 + -34 + 18. 6 What is 3 + (3 - 3) + 0 + -3 - -13? 13 What is -6 + -3 + 9 + -1 + 9 - 17? -9 What is 6 - -21 - ((7 - 5) + -5 + 1)? 29 4 + (-2 - 0) - (0 - (28 - 22)) 8 Calculate 12 + 2 - (-3 + -3 - -12) - -3. 11 Evaluate 20 + (7 - -9) - 19. 17 -8 + -25 + 3 - -9 - -8 -13 What is the value of -1 - (12 + -11 - (-12 - -6))? -8 Calculate 2 - (-4 - ((-32 - (-3 - 2)) + 7)). -14 1 - 17 - (-20 + (-3 - -17)) -10 What is (-2 + -26 - (-3 - (2 - -2))) + 7? -14 (-53 - (-154 - -104)) + (0 - 1) + -3 -7 What is the value of -2 + 7 + -33 + 14 + -7? -21 What is the value of 8 + 1 + (22 - 2 - (-3 + 6))? 26 Calculate -11 + 40 + 16 + -31. 14 Evaluate (-1 - 5) + (-127 - -131) - -4. 2 Calculate 5 - -10 - 0 - (12 - (4 - -3)). 10 What is -13 + (10 - (3 - 1)) + 16? 11 What is the value of 5 - (-17 - -20 - -16) - 8? -22 Calculate (0 + (-7 - -6) - 4) + 13 + -18. -10 What is (6 - 3) + -2 + 6 + -1? 6 What is (-55 - -12 - -51) + 6? 14 Evaluate (-1 - -1) + (6 - -3) + -9. 0 Evaluate -1352 - -1382 - (7 - 1). 24 -26 + (27 - 51) + 41 -9 Evaluate (5 - 0) + (4 - (0 + 1)) + -4. 4 What is -24 - ((-2 - 10) + -1)? -11 What is -50 + 15 + 4 + (-11 - -11)? -31 Evaluate (2 - 6) + 47 + 209 + -222. 30 What is 7 + (-6 - (7 - (6 + 6)) - 5)? 1 Evaluate -15 + -10 + 21 + -10. -14 Calculate -14 + (-28 - -20) - -30. 8 What is the value of 9 - (8 - (-35 + 16))? -18 Calculate 14 - ((9 - 42) + 52). -5 (-23 - (-19 - -10)) + 7 + (0 - 1) -8 Calculate -12 - -17 - 5 - -3. 3 What is the value of 3 + (-1 - 3) - (18 - 11 - -13)? -21 (11 + (5 + 1 - -27) - 6) + -4 34 Calculate 196 - 207 - (21 - 0) - (-5 - 1). -26 What is the value of -5 - -2 - (-7 - (-15 - -8))? -3 What is the value of (-1 - -1) + -21 - (-26 - (-66 - -39))? -22 -11 + (8 - 3) + 9 + -12 -9 What is 33 + -23 + -5 + 12 + 16? 33 What is the value of 1 + (2 - 1) + 0 + 198 + -208? -8 What is -7 + 2 + 13 + -3 - (1 + 2)? 2 Calculate 26 + (6 - (4 - -15)). 13 Evaluate (4 - -6) + -2 + (-19 - 0). -11 (8 - 9) + 4 + -2 + -1 - -5 5 What is the value of -3 - ((-14 - -18) + (2 - 3) - 3)? -3 (-2 - -7) + -1 + (-9 - (-9 + 2)) 2 Evaluate -5 + (0 - (-1 - -3)) + (-151 - -172). 14 2 + -2 - 6 - (42 - (-15 - -58)) -5 (12 - 15) + 1 + -7 -9 Calculate (-2 - (-2 + 4 + -3 + 10)) + 7. -4 13 - (-9 + 20 - (20 - 7)) 15 What is the value of -10 + (8 - 13) - (-17 - -3)? -1 Calculate -18 + (7 - (-3 + -12)). 4 Calculate -14 + -14 + -3 + 0 + 6. -25 What is (4 - 2) + -9 - (-60 - -57)? -4 Calculate -12 - 0 - (3 + (26 - 40)). -1 Evaluate (1 + -3 - -2) + -23 + -24 + 25. -22 What is the value of (-11 - -20 - (-10 + -20)) + 1 + -6? 34 -3 + 6 + (-5 - -4) + 1 + -1 2 Calculate 0 - 15 - ((-18 - -7) + 9). -13 What is 7 - (-6 + 23 + -19)? 9 -40 + 24 + (18 - 2) 0 (-11 - (-23 + 18 + -14)) + 0 + 6 14 What is 21 - (-11 + 7 + 17)? 8 What is 34 + (-19 - (11 - 13))? 17 What is the value of 2 - -3 - 0 - -1 - -2 - 6? 2 Evaluate (16 - -25 - 42) + 17 + -2. 14 Evaluate 8 - 3 - (35 + -20 - 17). 7 -4 + 0 + -2 + (-8 - (-13 - 0)) -1 Calculate 4 - -23 - (-52 + 74). 5 Evaluate 7 + -34 + 42 + -24. -9 What is the value of 1 - (3 - 5) - -14? 17 Evaluate 1 - -19 - (662 - 628). -14 What is (-4 - -11 - 8) + -57 + 42? -16 Evaluate -11 + (4 - ((-4 - -4) + (-7 - -5))). -5 What is the value of (-1 - -6) + 723 + -710? 18 Evaluate 5 - (-30 + 39 - (3 + -2)). -3 What is -3 + 2 - 3 - (0 + -10)? 6 Calculate 7 + -4 + 6 - (15 + -6). 0 0 + 11 - (-39 + 46) 4 What is 0 - (14 - (27 - 33))? -20 What is (7 - (3 - -2) - 7) + (-1 - 11)? -17 Evaluate -10 - (-14 + (4 - -5)) - -24. 19 What is -11 + 1 + 23 + (10 - 4)? 19 What is the value of (3 - -7 - 13) + 1 + 2? 0 Evaluate 11 + 7 + -26 + 17. 9 3 + 26 + -16 + -26 -13 Calculate -4 - (5 - (6 + -5 + 1)). -7 Calculate 4 - (9 + -4 - 2 - 15). 16 (4 - 0) + (-14 - -9) - (0 + -1) 0 Evaluate 5 - 33 - -11 - -11. -6 What is the value of 5 - (3 - (0 - (-9 - -8))) - -26? 29 3 + 4 + 9 + -16 + -6 -6 What is -1 + 3 + -6 + (6 - (-2 - -5))? -1 What is -1 - (0 + 1 + (-8 - -4) + -1)? 3 1 - (23 - (58 + -24)) 12 What is (22 - 27) + 21 + -6? 10 What is -4 + (2 - -8 - 3) + 1? 4 What is the value of 15 - 24 - (-1 + -4)? -4 -4 + 13 - 4 - (-3 - (-1 + -3)) 4 Evaluate -13 + -3 + (-11 - -9) + (3 - 0). -15 Calculate (23 - (-1 + -1 + 7)) + (-8 - -4). 14 What is -2 - ((6 + -7 + 16 - 8) + -5)? -4 What is the value of -3 - (-2 - (-6 - 16) - 5)? -18 Evaluate -22 - (-36 - -13) - 11. -10 What is the value of 12 - 21 - (4 + -5 + 2)? -10 (-6 - (-7 + 11)) + 13 + 0 3 (10 - 0 - 5) + -8 + 13 10 Calculate 1 + 8 + -3 + -3 - -7. 10 What is (-15 - 11) + 16 + -3? -13 Calculate -2 + -2 + (9 - (11 - -2)). -8 What is the value of -3 - (-6 + (0 - -1)) - (-3 - -8)? -3 -20 - (12 - (18 - -21)) 7 -26 + 3 - (46 + -49) -20 What is the value of 0 + -31 + -2 + 17? -16 Calculate -20 + -3 + 251 + -228. 0 Calculate -348 + 342 + (-1 - (1 + -15)) + 1. 8 Calculate (3 - 1 - (8 - 2)) + (6 - -16). 18 What is the value of (-7 - (-4 - -18 - 14)) + 9? 2 What is -8 + 2 + (1 - 0) + -14 + 15? -4 Calculate -2 - (26 + 0 + -42 - (-1 + -6)). 7 (-5 - (-5 - -14)) + (28 - 18) -4 Evaluate ((8 - -6) + -6 - 0) + (-8 - -1). 1 What is the value of 1 + -31 + 34 - -12? 16 Calculate (10 - 5) + -12 - (-11 - -10 - -7). -13 Evaluate 1 + -24 + 29 - -8. 14 What is -174 + 188 - (22 + 4)? -12 What is the value of 23 + -31 - (-1 - 6) - 9? -10 What is -6 - -46 - (-3 + 0 + 12)? 31 What is -3 + -43 + 35 + (1 - -18)? 8 What is -10 - (-2 + -4 + 21 + -18 + 5)? -12 What is -41 + 32 - (-30 + 2) - 10? 9 Evaluate 0 + -1 + 1 - (188 + -193). 5 Evaluate 0 + -3 - (3 - (-7 - -4 - -6)). -3 -15 - (-2 + (-7 - -4 - 37)) 27 Calculate -5 + (3 - 0) + 26. 24 What is 16 - 14 - (4 + -1 + -3)? 2 Calculate -2 - ((19 - 6) + -5 - 12). 2 Evaluate -8 - -2 - (3 + -5 + 5). -9 Calculate ((-10 - -5) + 5 - 0) + (13 - 1). 12 Calculate (-363 - -384 - (0 - 15)) + -10 + 0. 26 Calculate 9 + (-13 - (1 - 10)). 5 Evaluate 6 + (2 - 2) + 17 + -35. -12 1 + (5 - (-3 + 2)) + (55 - 73) -11 Calculate -23 + (1 - -7) - (56 - 90). 19 What is the value of (-11 - 1 - -1 - -14) + -8? -5 What is the value of 19 + -4 + -11 + (1 - 4)? 1 What is -6 + (0 - -4) + 6 - (2 + -17)? 19 What is 7 - (9 + (-2 - (0 + -4)))? -4 What is (-26 - (-8 - 37)) + -48? -29 What is the value of (-144 - -139) + 5 + (1 - 4)? -3 -2 - (-8 + -5 - -24) -13 What is -9 - (8 + -17) - 3 - (0 + 9)? -12 Calculate -6 + 0 + -38 + 24. -20 What is -12 + 0 + 15 - -3? 6 What is 25 + 4 + 13 + 5 - 17? 30 Calculate 10 - (0 + 15 - -3). -8 Calculate -6 + -9 + (-3 - -5 - -23). 10 Evaluate -10 + 2 + 3 + 3 + -3. -5 What is (-2 - (-1 + 12)) + 8? -5 -9 + 19 + -20 - -11 1 What is the value of (-15 - (-3 + 1)) + 27 + -20 + 9? 3 Calculate 14 - 24 - 0 - -2. -8 What is the value of 32 + -19 + -22 - (1 + -2 - -11)? -19 What is -33 - ((0 - 6) + 16 + -6 + -10)? -27 (67 + -99 - (2 - 11)) + 13 + -1 -11 -2 - (-5 - (2 + (-13 - 1))) -9 What is the value of -32 - (128 - 127 - (9 + -1))? -25 Calculate -1 + -4 + 17 + -1. 11 What is the value of -3 + (1 - (-37 + 35 + (-1 - 1)))? 2 Calculate (-11 + (17 - 9) - 5) + (3 - 0). -5 Calculate -11 + 3 + -1 - ((-1 - -11) + -17). -2 Calculate -21 + 2 + (-7 - (-9 + -3 + 2)). -16 What is -13 + (-34 - (18 + -83))? 18 Evaluate (3 - -17) + 2 - (-32 + 28 + 9). 17 73 + -58 + (1 - 20) -4 Evaluate (-3 - (-18 - 1)) + -7 + 15 + -14. 10 0 + -7 + 0 - (-74 - -45 - -39) -17 What is the value of 8 + 3 + 26 + -12 + 1 + -7? 19 What is (12 - (11 + -14 + (-10 - -2))) + -6? 17 What is the value of -8 + (0 - (11 - (9 - (-8 - -2))))? -4 Calculate 0 + -49 + 25 + 2. -22 What is (3 - (-1 + (-1 - -4 - 4))) + 1? 6 What is -4 + -2 + (-11 - -15)? -2 What is the value of (0 - 9) + 303 + -286? 8 What is the value of -7 - (5 - 13 - -3 - (-8 + -15))? -25 Calculate 0 + -3 + (-123 - -144). 18 Calculate (11 - (15 - 10)) + -8 + 14. 12 What is the value of (9 - 1) + 4 - (0 - -28)? -16 -2 + -3 + 9 + -2 + 119 + -117 4 What is the value of -8 - (-3 + 0 + 13) - 0 - -8? -10 What is 1 + 1 + (-68 - -44) + 19? -3 Evaluate -247 - -247 - (31 - 1) - (-5 - 0). -25 Evaluate 51 + -39 + -7 + -3 - (-2 + -5). 9 -23 + (-14 + 9 - -17) + -6 -17 What is the value of
{ "pile_set_name": "DM Mathematics" }
q**3 + 3*q**3) to the form m*q**3 + s*q**4 + o*q + j + x*q**2 and give x. 0 Express (-1 + 5 + 2*m - 2)*(-1 + 0 + 0)*(12 + 30 + 13)*(6*m + 20*m + 4*m) in the form q*m**2 + y + b*m and give q. -3300 Express 5*g - 5*g - 13*g - 49*g**3 + 3 - 5 + 3 as j*g**3 + w*g + t + m*g**2 and give j. -49 Express 121*u - 5 - 123*u - 4 in the form r*u + j and give j. -9 Rearrange -3*b**2 + 13147*b + 15*b**4 + 3 - 13148*b - 6*b**3 + 3*b**2 to p*b**4 + y*b**3 + n*b**2 + u + d*b and give u. 3 Express (26 - 14 - u + 0*u)*(-u**3 - u**3 - 6*u**3 + (-u + 0*u + 3*u)*(2*u**2 + 1 - 1)) as o*u**2 + z*u + f + q*u**4 + i*u**3 and give q. 4 Rearrange (-2 + 2 + 10*r)*(2 - 2 - 2*r) + 0*r**2 + 27*r**2 + 4*r**2 to the form j*r + a*r**2 + v and give a. 11 Rearrange 361*w**2 - 115*w**2 - 9*w**4 - 28*w - 115*w**2 - 133*w**2 to k*w + g + y*w**3 + s*w**2 + x*w**4 and give g. 0 Rearrange (-2*n + 0*n - 2*n)*((-1 + 2 + 0)*(-15*n**3 + 6*n**3 - 11*n**3) + 2*n**3 - 1 + 1) to the form l*n**4 + r*n**2 + u*n**3 + x*n + w and give l. 72 Express 8 - 4*h**3 - 37 - 9*h**3 + 16*h**3 as c + k*h**2 + j*h**3 + u*h and give c. -29 Express (4 - 4 + 3 - 2 + 1 + 3 + (-2 + 3 - 2)*(4 - 1 - 2) - 3 + 1 + 4 - 1 - 3 + 3)*(-108*s - 167*s + 102*s) as k + d*s and give d. -865 Rearrange (-6*q + 7*q - 19*q)*(11 - 11 + q**2) + 2*q + 2*q**3 - 2*q to r*q**2 + k*q + a + v*q**3 and give v. -16 Rearrange (-2*d + 2*d - d)*(2 - d**2 - 2) + (-6*d**2 + 3*d**2 + 2*d**2)*(-1783*d - 1043*d + 2069*d) to the form x*d**3 + g*d + b + t*d**2 and give x. 758 Rearrange 122*q**2 + q - 145 + 145 - 32*q**2 to the form p + k*q + o*q**2 and give p. 0 Rearrange (1 - 1 - 2*k**2)*(-5*k + k + 3*k) - 18*k**2 + 18*k**2 - 31*k**3 to o + g*k**2 + x*k**3 + l*k and give x. -29 Express 31*n + 17*n - 19*n - 189*n - 110*n as i + z*n and give z. -270 Express 19 + 11 + 2*h + 16 - 36 + 2*h as d + g*h and give g. 4 Rearrange (-3*a**2 - 1 + 1)*(253*a - 253*a + 59*a**2) to k + l*a + t*a**3 + y*a**2 + m*a**4 and give m. -177 Rearrange -5*n - 38 - 37 + 81 to v + k*n and give v. 6 Express 0*u + u + 0*u + 0*u + u + u + (-2 - 1 + 2)*(0*u + u - 2*u) + (-9 - 9 + 5)*(u + u - 4*u) in the form l*u + i and give l. 30 Express (5*o + 0*o + 3 - 3*o)*(13*o - 34*o - o) as a + l*o**2 + d*o and give d. -66 Express -c**3 - 2*c**3 + 4*c**3 + 4*c**3 + 0*c**3 + 0*c**3 + (-2*c + 0*c + 3*c)*(4*c**2 + 0 + 0) as o*c**2 + j*c + k*c**3 + u and give k. 9 Rearrange -160*s - 103*s**3 - 3*s**4 + 5*s**4 - 103*s**3 + 204*s**3 to the form v*s**2 + d*s**3 + c*s**4 + m + q*s and give d. -2 Express (487 - 487 - 227*u)*(4*u - u - 4*u) as n + j*u + h*u**2 and give h. 227 Express -291*m**2 - 1139*m**2 - 13*m**2 as o*m**2 + c + s*m and give o. -1443 Rearrange -1290*n**4 + 2 - 3*n**2 + 6*n**2 + 1409*n**4 to h*n**3 + g*n + z*n**2 + v + a*n**4 and give h. 0 Rearrange 189*c**2 + 197*c**2 - 330*c**2 + 3*c to the form o + r*c**2 + m*c and give m. 3 Rearrange 0 + 537*u**2 + 0 - 433*u**2 to the form a*u + g*u**2 + l and give g. 104 Express 50*q - 55*q - 89*q - 80*q + 2*q - 3*q + 4*q + (-3*q + 3*q - q)*(-3 + 2 - 1) as x + w*q and give w. -169 Rearrange 46*g**2 + 542*g - 16*g**2 - 15*g**2 - 17*g**2 to s*g + d*g**2 + p and give s. 542 Express -5*d + 17*d - 7*d**4 + 5*d**3 - 10*d - 1 - 4*d in the form r*d + l*d**4 + m*d**3 + q*d**2 + v and give l. -7 Rearrange (-205*w - 308*w + 107*w)*(-w - 2*w**2 + w) to n*w**2 + y + c*w**3 + v*w and give c. 812 Rearrange (40 + 22 - 14 - 1 - 3 + 3 + (2 - 2 - 5)*(-3 - 1 + 6))*(0 + 0 - b) to a*b + d and give a. -37 Express -1701*n**2 - 4*n**3 + 0*n**4 + 6*n**3 + 1700*n**2 - n**4 in the form j*n**3 + r*n + p*n**4 + x + h*n**2 and give h. -1 Express (o - 2 + 2)*(12*o + 14*o + 4*o)*(20*o - 5*o + 10*o)*(0 + 2 - 3) in the form c*o + s*o**2 + x + r*o**3 and give c. 0 Rearrange -80 - 13*z + 17*z - 79 - 3*z**3 + 188 - z**2 + 2*z**3 to a*z**3 + d*z**2 + u + o*z and give a. -1 Rearrange k**2 - 4*k**3 - 4*k**3 + 7*k**3 + 172 - 194 to the form l + z*k + x*k**3 + u*k**2 and give u. 1 Rearrange 0 - 3 + 184*x**2 - 36*x**2 - 23*x**2 - x**3 to the form p*x**3 + t*x**2 + r*x + q and give p. -1 Rearrange (0*i + 0*i + i**4)*(61 - 11 + 11)*(2 + 4 - 1) to the form k*i**3 + j*i**4 + v*i + g*i**2 + d and give j. 305 Express (5 - 5 - 2*u)*(3 - u**2 - 3) + 2*u**3 - 5 + 5 - 9*u + 116*u**3 + 110*u**3 - 239*u**3 in the form x*u**3 + v*u + d + o*u**2 and give x. -9 Express t - 22 - 16 - 2*t**2 + 10 + t + 4 as d*t**2 + g*t + u and give g. 2 Rearrange -33*t - 3*t**2 - 2*t**2 + 1 + 9*t**2 + 2*t**2 - t**2 to the form k + n*t**2 + l*t and give l. -33 Express (-44*j - 308 + 308 + (-3*j - 2*j + j)*(-2 - 3 + 6))*(-j**3 - 2*j**2 + 2*j**2) as m + x*j**4 + z*j**2 + v*j + o*j**3 and give x. 48 Rearrange 30 - 31 + 2*z**2 + 61*z**3 - 272*z**3 + 2*z to the form j + n*z + a*z**3 + d*z**2 and give d. 2 Rearrange (-2 - 4*c**3 + 1 + 5*c**3)*(-9*c - 54*c - 18*c) to a + g*c + o*c**2 + y*c**4 + b*c**3 and give g. 81 Express 6 - 19*h - 1 + 18*h + (-2 + 5 - 2)*(3*h - h - 3*h) + (5 - 7 + 12)*(3*h + 2*h - 6*h) in the form i*h + u and give u. 5 Express (-665 + 530 - 4*v - 310)*(0*v - 2*v**2 + 0*v) in the form l + a*v**3 + t*v + q*v**2 and give a. 8 Rearrange -2039*x**2 + 2040*x**2 + 123*x + 60*x to u*x + k*x**2 + t and give u. 183 Rearrange n**4 + 1 - 29*n - 78*n - 2*n**3 + 5 - 13 - n**2 + 8 to u*n**2 + v*n**4 + z*n**3 + m + s*n and give s. -107 Express (14 + 6 + 7)*(27 + 61 - 22)*(x**3 + x**3 - 4*x**3) as j + u*x**3 + f*x + n*x**2 and give u. -3564 Express 110664 - 2*w**3 - 2*w**4 + 3*w**2 - 110664 - w as q + b*w**4 + z*w + y*w**3 + o*w**2 and give q. 0 Express 7*t**2 - 4 - 9*t**2 - 2*t - 8*t**3 + 12*t**2 + 4 as n*t**2 + d*t**3 + x + p*t and give d. -8 Express 2*g**2 - 41*g - 27*g - 61*g + 35*g + g**2 as j*g**2 + b*g + q and give j. 3 Express 8*s + 8*s + 27*s**2 - 17*s + 2*s**2 - s**2 - 3*s**2 + (0*s + 0*s - s)*(-4*s + 48 - 48) as a*s**2 + t*s + f and give t. -1 Express ((-4 + 1 + 1)*(-1 + 1 + 1) + 186 - 106 + 166 + 1 - 2 - 1)*(0*n + 0*n + 2*n)*(1 - 1 - 2*n) in the form b + l*n + p*n**2 and give p. -968 Express k**2 + 0*k + 0*k + (8*k**2 + k - k)*(-4 + 2 + 3) as p + z*k + q*k**2 and give q. 9 Express (11 - 11 + 20*t)*(4 - 5 + 2) - 4*t + 3*t + 3*t + (2*t - 3*t + 2*t)*(2 - 5 + 1) + (-1 - 1 + 4)*(3*t + 3*t + 5*t) in the form r*t + m and give r. 42 Express 17 - 2*d**3 + d**2 - 9*d**3 + 6 + 9*d**3 as f*d**3 + a*d**2 + v + j*d and give f. -2 Express (4*u - 3*u + 2*u)*(-105 - 30 - 65 + (0 + 1 - 3)*(-3 + 3 - 1) + 3 - 2 + 1 + 1 - 1 + 2) as r + q*u and give q. -582 Rearrange 85*r - 1 - 37*r - 39*r to t + q*r and give t. -1 Rearrange 29 - 2*b**3 + 30 + 97*b**4 - 81 + 23 to p*b**3 + v*b + y + a*b**2 + h*b**4 and give h. 97 Express -496 + 162 + 163 + 165 + 7*t in the form m*t + g and give m. 7 Rearrange -116*b**2 + 420*b**2 + 56 - 56 to the form c + u*b**2 + z*b and give u. 304 Rearrange 123*s + 505*s - 210*s + 625*s - 168*s - 1 to the form f + k*s and give k. 875 Express 0*n**2 + 3*n**4 - 2*n**4 - 4 - 2*n**2 - 5 + n**2 - 6*n**3 in the form l*n**2 + q*n**3 + w*n**4 + i*n + r and give l. -1 Express (i**2 - 8*i**2 - 18*i**2)*(1 + 6 - 4 - 2*i) as f + l*i + r*i**3 + o*i**2 and give o. -75 Express -437*s - 20*s - 52*s as k*s + x and give k. -509 Rearrange 8*c**2 - 97 + 12*c**2 + 6*c**2 + 4 - 23*c**2 to the form k*c + d*c**2 + o and give d. 3 Express 35 - k**4 + 48*k**3 - k**2 - 42*k**3 - 30 as m*k**2 + a*k**4 + n + q*k**3 + c*k and give a. -1 Express (-20*d**2 - 64*d**2 - 24*d**2)*(-6*d - 6*d + 3*d) in the form q*d**3 + f*d + p*d**2 + z and give q. 972 Express 1309*s - 27 - 25 + 52 in the form z*s + p and give z. 1309 Express 85*u - 40*u + 3*u**3 - u**4 - 47*u - 7 as j*u**2 + n*u + a + v*u**3 + d*u**4 and give n. -2 Express (2 + 3 - 3)*(42*g + 451 + 58*g - 448) in the form f*g + n and give n. 6 Rearrange 2*a**3 - 25*a**4 + 9*a**4 - 328*a + 14*a**4 to the form t*a**2 + n + o*a**3 + d*a**4 + f*a and give o. 2 Rearrange (2 - 3 + 2)*(-5*o - 10*o + o) + (-4*o - 4*o + 6*o)*(1 - 1 - 2) to l + j*o and give j. -10 Express -119*v + 62*v + 66*v in the form u*v + d and give u. 9 Rearrange -2*d + 24 + 9*d - 5*d + 7 + 27 to k + g*d and give k. 58 Express -37 + 22 + 18 - 90*r + (0 + 2*r + 0)*(5 - 2 - 1) in the form k + p*r and give p. -86 Rearrange 2*d**2 - 2*d**2 + 5*d**4 - 3*d**2 - 6*d**4 - 5*d**4 + d**3 to x*d**3 + s + q*d**2 + a*d + p*d**4 and give q. -3 Rea
{ "pile_set_name": "DM Mathematics" }
h(v)? 3*v**2 + 1 Let u(v) = -5*v**3 + 4*v**2 - 14*v + 1. Let n(x) = 5*x**3 - 3*x**2 + 13*x. Give -4*n(q) - 3*u(q). -5*q**3 - 10*q - 3 Let g(m) = m + 3. Let r(w) = 14*w - 147. Determine -98*g(x) - 2*r(x). -126*x Let x(t) = 2*t**3 + 3*t**2 + 4*t - 40. Let m(q) = q**3 - q**2 - 2*q. Calculate -2*m(f) - x(f). -4*f**3 - f**2 + 40 Let w(o) = -22*o + 87. Let k(r) = -5*r + 21. Give 9*k(z) - 2*w(z). -z + 15 Let z(k) = -7*k + 10. Let l(q) = 64*q + 0 - 61*q - 5. Let a(y) = -5*l(y) - 2*z(y). Let s(n) = 2*n - 9. What is 5*a(d) + 3*s(d)? d - 2 Suppose 5*s - 31 = 14. Let l(v) = s*v + 11*v - 30*v + 9*v. Let h(n) = -4*n - 1. Give h(m) - l(m). -3*m - 1 Let w(u) = 7*u + 4*u**3 + 9 - 14 - 6*u**3 + u + 6*u**2. Let i(g) = -17*g**2 + 6*g**3 + g**3 - g**3 + 14 - 23*g. What is 6*i(b) + 17*w(b)? 2*b**3 - 2*b - 1 Let p(q) = 15*q**2 - 14*q + 9. Let f = 1275 + -1286. Let w(d) = -8*d**2 + 7*d - 5. Calculate f*w(n) - 6*p(n). -2*n**2 + 7*n + 1 Let i(s) = 6*s + 2*s + 50 + s + 0*s. Let a be i(-5). Let x(d) = -d + 1. Let u(j) = 5*j - 4. Give a*u(t) + 20*x(t). 5*t Let z(r) = -r - 112. Let s(c) = 1. Give -5*s(a) - z(a). a + 107 Let c(s) = -6*s**3 - 3. Suppose -12 = -0*u - 3*u. Let z = -8 - -11. Let i(n) = 8 - 13 + 5*n**z + 7. Calculate u*c(a) + 5*i(a). a**3 - 2 Let s(y) = 12*y**3 - 2*y**2 - 2*y. Let p(h) = -36*h**3 + 7*h**2 + 7*h. Let r be (2/8)/((-26)/728). What is r*s(n) - 2*p(n)? -12*n**3 Let c be (2 - -1)/((-11)/(-11)). Let r(f) be the second derivative of -12*f**2 + 12*f**2 - 7*f + f**c + 8*f**2. Let l(o) = 2*o + 5. What is 16*l(q) - 5*r(q)? 2*q Let v(b) = -6*b - 1. Let p(d) = -17*d - 3. Suppose 5*y = 3*l - 26, 2*l = -5*y - 15 - 1. What is y*p(g) + 11*v(g)? 2*g + 1 Let l(q) = q**2 + 1. Let r = 27 + -35. Let p(j) = 6*j + 42. Let z be p(r). Let i(d) = -7*d**2 + 2*d - 4. Determine z*l(y) - i(y). y**2 - 2*y - 2 Let y(b) be the third derivative of -39*b**6/10 + 143*b**5/60 + 5*b**2 + 11. Let h(p) = -13*p**3 + 4*p**2. Determine -143*h(z) + 4*y(z). -13*z**3 Let q(r) = -r**3 - 6*r**2 - 4. Let j(s) = 3*s**3 + 17*s**2 + 11. Let a be 0 - -1*(2/2 + -5). Give a*j(m) - 11*q(m). -m**3 - 2*m**2 Let d(v) = -v**2. Let l = -66 + 67. Let z(q) = 4*q**2 + q. What is l*z(n) + 5*d(n)? -n**2 + n Let c(a) = 26*a - 13. Let x(r) = -8*r + 5. What is 2*c(v) + 7*x(v)? -4*v + 9 Let s(w) = w - 71. Let y(g) = -4*g + 283. Determine -9*s(l) - 2*y(l). -l + 73 Let a(y) = -5*y**2 - 17*y + 17. Let j be a(1). Let t(m) = 5. Let r(g) = -2*g - 40. Calculate j*r(v) - 40*t(v). 10*v Let i(d) = 15*d - 157. Let g(r) = 13*r - 159. Determine 6*g(k) - 5*i(k). 3*k - 169 Let m(j) = -36*j - 1. Let b(w) = -1. Give 6*b(k) + m(k). -36*k - 7 Let v(s) = s**2 - 580 + 572 + 6*s**3 + 7*s**2. Let r(w) = 16*w + 65. Let n be r(-4). Let b(x) = -x**3 - x**2 + 1. What is n*v(l) + 8*b(l)? -2*l**3 Let o(x) = -4*x + 71. Let i(m) = 3*m - 1. What is 2*i(l) + o(l)? 2*l + 69 Let a(r) = 2*r**2 - 8*r. Let s(o) = -o**2 + 4*o. Let h(g) = g**2 + g - 5. Let x be h(-1). What is x*s(n) - 2*a(n)? n**2 - 4*n Let h(m) = 3*m**2 + 11*m - 11. Let w(k) = -2*k**2 + k - 1. Let g(n) = -n**2 + 2*n - 2. Let o = -4 - -1. Let j(z) = o*g(z) + 2*w(z). Give -4*h(c) - 11*j(c). -c**2 Suppose -x + 2484 = 2479. Let w(s) = -11*s**2 + 5*s - 22. Let k(i) = -7*i**2 + 3*i - 15. Calculate x*w(y) - 8*k(y). y**2 + y + 10 Let u(f) be the third derivative of -5*f**4/24 + 5*f**3/6 + 98*f**2. Let w(m) = -m**2 + m - 1. Give -u(h) - 5*w(h). 5*h**2 Suppose 359 = -121*o - 367. Let b(k) = -7*k**2 + k + 4. Let g(f) = 6*f**2 - f - 3. Give o*g(c) - 5*b(c). -c**2 + c - 2 Let u(w) = 14. Let a = -470 + 469. Let c(n) = n. Determine a*c(y) - u(y). -y - 14 Let f(x) = 6*x + 3. Let p = 10 + -15. Suppose -41 = 4*b - 9. Let t(m) = -11*m - 11. Let l(u) = 12*u + 14. Let n(w) = 2*l(w) + 3*t(w). Calculate b*f(d) + p*n(d). -3*d + 1 Let z(a) = 3*a**3 + 26*a. Let s(h) = -3*h**3 - 26*h. Give -4*s(j) - 5*z(j). -3*j**3 - 26*j Let o(i) = 9*i - 24*i + 5*i + i + 13. Let k(x) = 3*x - 4. Determine -7*k(p) - 2*o(p). -3*p + 2 Let v(d) = 483*d + 12. Let o(q) = -241*q - 7. Give -7*o(l) - 4*v(l). -245*l + 1 Let w(x) = 14*x**3 - 20*x**2 - 14. Let l(f) = 13*f**3 - 29*f**3 - 4 + 7*f**2 + 9 + 5*f**3 + 6*f**3. Calculate 17*l(i) + 6*w(i). -i**3 - i**2 + 1 Let x(g) = -152*g**2 + 44*g + 44. Let p(j) = 10*j**2 - 3*j - 3. Give -88*p(h) - 6*x(h). 32*h**2 Let h(o) = -5*o**3 + 4*o**2 - 2*o + 378. Let m(n) = -n**3 + n**2 - n - 1. Calculate -h(d) + 4*m(d). d**3 - 2*d - 382 Let c(i) = 4*i**3 - 3*i**2 + 9*i. Let a(v) = 25*v**3 - 17*v**2 + 54*v. Calculate 6*a(h) - 38*c(h). -2*h**3 + 12*h**2 - 18*h Let x(h) = h**2 + 4. Let v(n) be the first derivative of -n**4/4 - 2*n**3/3 - 5*n - 1. Suppose -40*q - 114 = 2*q + 12. What is q*x(p) - 2*v(p)? 2*p**3 + p**2 - 2 Let x(m) = -4*m**3 - 3*m**2 - 8*m + 27. Let u(o) = -3*o**3 - 2*o**2 - 7*o + 24. Calculate -3*u(y) + 2*x(y). y**3 + 5*y - 18 Let a(q) = q**3 - q**2 + 1. Let h(n) = -6*n**3 + 4*n**2 - 4. Suppose 0 = -o + 2*b + 9, 5*o - 4*b = 48 - 15. What is o*h(p) + 20*a(p)? -10*p**3 Let f(x) = -160*x - 160*x + 317*x + 10. Let q(c) = -4*c + 10. Calculate -3*f(d) + 2*q(d). d - 10 Let w(d) = -5*d**3 + 17*d**2 + 76*d + 6. Let i(p) = -p**3 + 4*p**2 + 19*p + 1. Determine 9*i(q) - 2*w(q). q**3 + 2*q**2 + 19*q - 3 Let z(o) = o - 1. Let v(c) = -11 + 3 + 8 - c. Determine 4*v(d) + z(d). -3*d - 1 Let j(g) = -363*g - 19. Let r(w) = -121*w - 7. Calculate -3*j(b) + 8*r(b). 121*b + 1 Let u(y) = -y**2 + 4*y. Let j(g) be the second derivative of g**3/6 - 457*g. Determine 2*j(s) - u(s). s**2 - 2*s Let b(g) = -g + 1. Let u = 7 + -11. Let v(x) be the second derivative of x**4/12 - x**3/3 + 3*x**2 + 36*x. Determine u*b(f) + v(f). f**2 + 2*f + 2 Let k(i) = -3*i**2 - 3*i - 4. Let a(s) = -7*s**2 - 7*s - 9. Determine -2*a(n) + 5*k(n). -n**2 - n - 2 Let q(k) = 39*k + 4. Let h(s) = -116*s - 12. Determine -6*h(m) - 17*q(m). 33*m + 4 Let h(y) = -9*y**2 + 11*y - 6. Let v(n) be the third derivative of 0*n - 1/6*n**4 + 0 + 1/3*n**3 + 1/20*n**5 - 13*n**2. Give 4*h(r) + 11*v(r). -3*r**2 - 2 Let n(q) = 8*q + 5. Let f(s) = -s - 1. Let j be -3 - (-18)/(-2 + -4). Give j*f(m) - n(m). -2*m + 1 Let n(t) = 17*t + 7. Let s be (576/(-56))/(-8) + (-4)/14. Let o(f) = f + 1. Let p(c) = s*n(c) - 6*o(c). Let w(b) = 17*b + 2. Give -8*p(u) + 5*w(u). -3*u + 2 Let j(y) = -10*y + 3. Let r(i) = -30*i + 8. Let s = 98 + -95. Calculate s*r(w) - 8*j(w). -10*w Let c(l) be the first derivative of 11*l**3/3 + l - 2. Let u(t) be the first derivative of -16*t**3/3 - t - 36. What is 7*c(s) + 5*u(s)? -3*s**2 + 2 Let d(h) = -19*h + 5 + 54*h - 37*h + 0. Let s(f) = -3*f + 4. Give -5*d(n) + 4*s(n). -2*n - 9 Let g(r) = 3*r - 20. Let o be g(6). Let i(c) = -7*c + 3. Let x = 2 + -2. Let j(w) = 3*w + x - 3 + 1 + 1. Determine o*i(l) - 5*j(l). -l - 1 Let z(d) = d**3 - 2*d**2 + 1. Let t(s) = 432*s**2 - 216. What is -3*t(m) - 648*z(m)? -648*m**3 Let m(p) be the first derivative of -3*p**2 + 2*p + 36. Let t(b) = 5*b - 1. Give -6*m(j) - 7*t(j). j - 5 Suppose 9*t - 2*t = 35. Let a(q) = -8*q - 7. Let c(o) = -7*o - 6. Let v be -5*(1 + 3/15 + 0). Calculate t*a(w) + v*c(w). 2*w + 1 Let j(p) = -p**3 - p**2 - p + 1. Let v(a) = 7*a**3 - 4*a + 4*a**2 - 4 + 2*a + 4*a. Let c = 534 + -538. What is c*j(h) - v(h)? -3*h**3 + 2*h Suppose 6*h - 84 = 7*h. Let k = h - -86. Let f(z) = 4 + 3 - 3. Let o(g) = g + 1. Calculate k*o(y) - f(y). 2*y - 2 Let g(v) = 5*v + 6. Suppose 4 = -u + 2*p - 3, 5*u - 4*p = -65. Let f(m) = 14*m + 17. Give u*g(n) + 6*f(n). -n Let x(m) be the first derivative of -28*m**2 - 34*m - 44. Let a(p) be the third derivative of 5*p**4/24 + p**3/2 + 4*p**2. Determine 68*a(f) + 6*x(f). 4*f Let g = -64 + 66. Let o(i) = 1026*i**3 - 4*i**2 - g*i - 1021*i**3 + 10*i**2 - 2. Let u(c) = c**3 + c**2. Determine -o(n) + 6*u(n). n**3 + 2*n + 2 Let r(f) = f + 2. Let k(p) = -3*p - 19. Give -k(m) + 3*r(m). 6*m + 25 Let s(m) = 2*m**3 - 2*m**2 + 9*m + 12. Let a(l) = l**3 - l**2 + 4*l + 6. Give 5*a(o) - 2*s(o). o**3 - o**2 + 2*o + 6 Let a(c) = -9 - c**2 + 3*c**2 + 7 - 3*c**2. Let x be 3*2*3/6. Let d(b) = -1. Give x*d(g) - 2*a(g). 2*g**2 + 1 Suppose -3*t - 1 = f, 5*t - 2*f = f + 3. Let j(r) = -6*r**2 + t + 0*r + 5*r + 11 + 5*r. Let l(m) = -m**2 + 2*m + 2. Give 2*j(b) - 11*l(b). -b**2 - 2*b Suppose 45 = -46*q + 51*q. Let j(b) = -4*b**3 + b + 2. Let y(o) = 17*o**3 + o**2 - 5*o - 9. Calculate q*j(t) + 2*y(t).
{ "pile_set_name": "DM Mathematics" }
u'th term of -3809, -3811, -3813, -3815, -3817? -2*u - 3807 What is the j'th term of -148, -311, -474, -637? -163*j + 15 What is the l'th term of -94, -365, -816, -1447, -2258, -3249, -4420? -90*l**2 - l - 3 What is the a'th term of 38, 151, 340, 605, 946? 38*a**2 - a + 1 What is the q'th term of -101, -95, -89, -83, -77, -71? 6*q - 107 What is the w'th term of 72, 92, 148, 258, 440, 712, 1092? 3*w**3 - w + 70 What is the k'th term of -279, -283, -289, -297, -307, -319, -333? -k**2 - k - 277 What is the t'th term of 45, 46, 47, 48, 49, 50? t + 44 What is the h'th term of -38, -63, -86, -107, -126? h**2 - 28*h - 11 What is the l'th term of 181, 728, 1633, 2890, 4493, 6436? -l**3 + 185*l**2 - l - 2 What is the q'th term of 5, 17, 17, 5, -19? -6*q**2 + 30*q - 19 What is the h'th term of -5, -29, -69, -125, -197, -285, -389? -8*h**2 + 3 What is the b'th term of 49, 214, 487, 868, 1357, 1954? 54*b**2 + 3*b - 8 What is the a'th term of -194, -190, -184, -176? a**2 + a - 196 What is the f'th term of -76, -148, -218, -286? f**2 - 75*f - 2 What is the i'th term of -24, -82, -178, -312, -484? -19*i**2 - i - 4 What is the g'th term of 175, 349, 523, 697, 871? 174*g + 1 What is the b'th term of 1205, 4831, 10875, 19337? 1209*b**2 - b - 3 What is the c'th term of 33, 31, 25, 15, 1, -17? -2*c**2 + 4*c + 31 What is the z'th term of -109, -157, -205, -253, -301, -349? -48*z - 61 What is the i'th term of 23567, 23566, 23565, 23564? -i + 23568 What is the i'th term of -9, -16, -13, 6, 47, 116? i**3 - i**2 - 11*i + 2 What is the c'th term of 51, 114, 193, 294, 423, 586, 789? c**3 + 2*c**2 + 50*c - 2 What is the l'th term of 102, 185, 270, 357? l**2 + 80*l + 21 What is the x'th term of 24, 52, 92, 144, 208, 284, 372? 6*x**2 + 10*x + 8 What is the a'th term of -141, -584, -1329, -2382, -3749, -5436, -7449, -9794? -a**3 - 145*a**2 - a + 6 What is the f'th term of 1520, 1518, 1516, 1514? -2*f + 1522 What is the b'th term of -4, -12, -28, -52? -4*b**2 + 4*b - 4 What is the u'th term of 18, 35, 62, 105, 170? u**3 - u**2 + 13*u + 5 What is the t'th term of 99, 80, 33, -54, -193, -396, -675? -2*t**3 - 2*t**2 + t + 102 What is the t'th term of -1375, -1385, -1417, -1483, -1595, -1765? -2*t**3 + t**2 + t - 1375 What is the o'th term of 13, 8, -9, -44, -103, -192? -o**3 + 2*o + 12 What is the l'th term of -5, -16, -25, -32, -37? l**2 - 14*l + 8 What is the t'th term of -667, -627, -555, -445, -291? t**3 + 10*t**2 + 3*t - 681 What is the p'th term of -1155, -1162, -1173, -1188? -2*p**2 - p - 1152 What is the w'th term of -622, -618, -612, -604, -594, -582, -568? w**2 + w - 624 What is the y'th term of -32, -88, -230, -500, -940, -1592, -2498? -7*y**3 - y**2 - 4*y - 20 What is the c'th term of -2104, -2114, -2130, -2152? -3*c**2 - c - 2100 What is the v'th term of 202, 212, 222? 10*v + 192 What is the o'th term of -7, -7, -23, -61, -127, -227, -367? -o**3 - 2*o**2 + 13*o - 17 What is the b'th term of -12081, -12079, -12077? 2*b - 12083 What is the t'th term of -577, -576, -575, -574? t - 578 What is the y'th term of 21, 96, 223, 402, 633, 916? 26*y**2 - 3*y - 2 What is the n'th term of 16, 39, 60, 73, 72, 51, 4? -n**3 + 5*n**2 + 15*n - 3 What is the n'th term of 61, 119, 177, 235? 58*n + 3 What is the a'th term of 25, 46, 63, 76, 85, 90? -2*a**2 + 27*a What is the r'th term of -2505, -2503, -2501? 2*r - 2507 What is the f'th term of -22, -33, -58, -103, -174, -277, -418? -f**3 - f**2 - f - 19 What is the s'th term of 88, 220, 350, 478, 604? -s**2 + 135*s - 46 What is the v'th term of -9, -30, -55, -78, -93, -94, -75? v**3 - 8*v**2 - 4*v + 2 What is the c'th term of 70, 125, 162, 175, 158, 105? -c**3 - 3*c**2 + 71*c + 3 What is the q'th term of -811, -820, -829? -9*q - 802 What is the g'th term of -60, -62, -62, -60, -56? g**2 - 5*g - 56 What is the u'th term of -14, 67, 304, 775, 1558, 2731, 4372, 6559? 13*u**3 - 10*u - 17 What is the t'th term of -822, -1639, -2454, -3267? t**2 - 820*t - 3 What is the l'th term of 755, 2946, 6597, 11708, 18279, 26310? 730*l**2 + l + 24 What is the r'th term of -866, -1738, -2616, -3500, -4390? -3*r**2 - 863*r What is the y'th term of -10, -72, -182, -346, -570, -860? -y**3 - 18*y**2 - y + 10 What is the i'th term of -21, -45, -69, -93? -24*i + 3 What is the z'th term of -836, -838, -840, -842, -844, -846? -2*z - 834 What is the z'th term of 22, 71, 152, 265, 410, 587, 796? 16*z**2 + z + 5 What is the r'th term of -6976, -6975, -6974? r - 6977 What is the q'th term of 328, 330, 332, 334, 336, 338? 2*q + 326 What is the z'th term of 9, 22, 49, 96, 169, 274? z**3 + z**2 + 3*z + 4 What is the d'th term of -27, -50, -89, -144, -215, -302? -8*d**2 + d - 20 What is the t'th term of -19, -65, -111, -157? -46*t + 27 What is the u'th term of 188, 197, 208, 221, 236? u**2 + 6*u + 181 What is the y'th term of 151, 158, 169, 184, 203, 226, 253? 2*y**2 + y + 148 What is the l'th term of -142, -183, -262, -397, -606? -3*l**3 - l**2 - 17*l - 121 What is the h'th term of -15, -8, -1, 6? 7*h - 22 What is the s'th term of -2, -40, -124, -272, -502, -832? -3*s**3 - 5*s**2 - 2*s + 8 What is the u'th term of 16, 57, 124, 217, 336? 13*u**2 + 2*u + 1 What is the z'th term of 9, -21, -89, -195, -339, -521? -19*z**2 + 27*z + 1 What is the z'th term of 10, 8, 6, 4, 2? -2*z + 12 What is the v'th term of -17, -10, -3, 4, 11? 7*v - 24 What is the u'th term of -463, -925, -1385, -1843, -2299? u**2 - 465*u + 1 What is the i'th term of -222, -839, -1874, -3333, -5222, -7547, -10314? -i**3 - 203*i**2 - i - 17 What is the p'th term of -643, -634, -605, -544, -439, -278, -49, 260? 2*p**3 - 2*p**2 + p - 644 What is the v'th term of 51, 76, 101, 126, 151? 25*v + 26 What is the p'th term of 555, 540, 525, 510, 495, 480? -15*p + 570 What is the r'th term of 68, 289, 658, 1175, 1840? 74*r**2 - r - 5 What is the j'th term of -1, -95, -341, -811, -1577, -2711, -4285, -6371? -12*j**3 - 4*j**2 + 2*j + 13 What is the b'th term of -1299, -1311, -1337, -1383, -1455, -1559? -b**3 - b**2 - 2*b - 1295 What is the a'th term of 2178, 2177, 2176, 2175, 2174? -a + 2179 What is the t'th term of 4, 31, 76, 139, 220? 9*t**2 - 5 What is the a'th term of 84, 88, 92? 4*a + 80 What is the b'th term of -216, -256, -314, -384, -460, -536, -606? b**3 - 15*b**2 - 2*b - 200 What is the l'th term of 2131, 4269, 6409, 8551, 10695, 12841? l**2 + 2135*l - 5 What is the r'th term of 29, 75, 123, 173, 225? r**2 + 43*r - 15 What is the t'th term of -813, -1664, -2525, -3402, -4301, -5228, -6189, -7190? -t**3 + t**2 - 847*t + 34 What is the n'th term of -489, -488, -487, -486, -485? n - 490 What is the d'th term of -21, -30, -51, -90, -153, -246? -d**3 - 2*d - 18 What is the i'th term of 690, 691, 704, 735, 790, 875, 996, 1159? i**3 - 6*i + 695 What is the l'th term of 23, 38, 53, 68? 15*l + 8 What is the w'th term of 273, 275, 277, 279, 281, 283? 2*w + 271 What is the v'th term of -1383, -2766, -4163, -5580, -7023, -8498, -10011, -11568? -v**3 - v**2 - 1373*v - 8 What is the c'th term of 981, 983, 985, 987, 989, 991? 2*c + 979 What is the m'th term of -1241, -2482, -3723, -4964, -6205, -7446? -1241*m What is the f'th term of -277, -332, -387? -55*f - 222 What is the t'th term of -23, -59, -93, -125, -155? t**2 - 39*t + 15 What is the g'th term of 6, -16, -40, -66, -94, -124, -156? -g**2 - 19*g + 26 What is the t'th term of -587, -1148, -1685, -2192, -2663? t**3 + 6*t**2 - 586*t - 8 What is the n'th term of 133, 100, 55, -8, -95, -212, -365? -n**3 - 26*n + 160 What is the u'th term of 165, 147, 127, 105, 81, 55? -u**2 - 15*u + 181 What is the c'th term of 17, 70, 161, 290, 457, 662, 905? 19*c**2 - 4*c + 2 What is the v'th term of -15, -38, -77, -132, -203? -8*v**2 + v - 8 What is the k'th term of -545, -1084, -1623, -2162, -2701, -3240? -539*k - 6 What is the x'th term of -283, -587, -891? -304*x + 21 What is the n'th term of -109, -216, -323, -430, -537? -107*n - 2 What is the y'th term of -55, -105, -153, -199, -243, -285, -325? y**2 - 53*y - 3 What is the i'th term of 1522, 3056, 4604, 6172, 7766, 9392, 11056? i**3 + i**2 + 1524*i - 4 What is the m'th term of -37, -85, -147, -229, -337, -477, -655, -877? -m**3 - m**2 - 38*m + 3 What is the x'th term of -29, -95, -209, -377, -605, -899? -x**3 - 18*x**2 - 5*
{ "pile_set_name": "DM Mathematics" }
39.01186 rounded to one dp? 39 Round 1275393 to the nearest 1000. 1275000 Round -16862.86 to the nearest 1000. -17000 What is 0.0053019422 rounded to 3 decimal places? 0.005 Round 0.0138347 to four dps. 0.0138 What is -0.0000000009759 rounded to seven dps? 0 Round 0.0002028813 to 5 dps. 0.0002 Round -5.558056 to one decimal place. -5.6 Round 0.0015895966 to 5 decimal places. 0.00159 What is 8.74162 rounded to 1 dp? 8.7 Round 0.00006749189 to five dps. 0.00007 What is -28004500 rounded to the nearest one hundred thousand? -28000000 Round 0.008475028 to 2 decimal places. 0.01 Round -0.0015888436 to 6 decimal places. -0.001589 Round -21.246 to the nearest integer. -21 What is 49677.7 rounded to the nearest ten thousand? 50000 What is -0.00006530299 rounded to 7 dps? -0.0000653 What is 12334.809 rounded to the nearest one thousand? 12000 Round -154.74269 to two dps. -154.74 Round -0.00598644 to four decimal places. -0.006 Round 32243 to the nearest one hundred thousand. 0 Round 0.0032693607 to five dps. 0.00327 Round 67968.16 to the nearest 10. 67970 Round -0.0000054529756 to six decimal places. -0.000005 Round -23.39053 to 2 dps. -23.39 What is 0.000000680168 rounded to 6 decimal places? 0.000001 Round -44815500 to the nearest 1000000. -45000000 Round -7555614 to the nearest 1000. -7556000 What is 0.000026286866 rounded to 6 decimal places? 0.000026 What is -0.00000875088 rounded to 6 decimal places? -0.000009 What is 0.6514138 rounded to two dps? 0.65 What is 0.000001574434 rounded to seven dps? 0.0000016 Round 150084240 to the nearest 100000. 150100000 Round 29.86754 to zero dps. 30 Round -11880000 to the nearest one million. -12000000 What is -1.058104 rounded to three decimal places? -1.058 Round -58676897 to the nearest one million. -59000000 Round 17407240 to the nearest 100000. 17400000 What is 0.0598424 rounded to 3 decimal places? 0.06 Round -219.861 to the nearest ten. -220 What is 131.118 rounded to the nearest integer? 131 Round 10.034001 to zero dps. 10 What is 244375.5 rounded to the nearest one thousand? 244000 What is -58087.6 rounded to the nearest one thousand? -58000 What is 117601.9 rounded to the nearest one hundred? 117600 Round -1988.26 to the nearest one hundred. -2000 What is -707468 rounded to the nearest 100000? -700000 Round 273.103 to 0 decimal places. 273 Round 0.000002323566 to six decimal places. 0.000002 What is 1002412 rounded to the nearest one thousand? 1002000 Round -0.055749 to 4 dps. -0.0557 What is 20208390 rounded to the nearest 1000000? 20000000 Round 2580.735 to the nearest 100. 2600 What is -17.580363 rounded to 3 decimal places? -17.58 What is -0.7546936 rounded to 1 decimal place? -0.8 Round 0.08912852 to three decimal places. 0.089 Round 0.000002531302 to six decimal places. 0.000003 Round 90.59638 to zero dps. 91 Round -128.03783 to the nearest ten. -130 What is 0.013436353 rounded to six decimal places? 0.013436 What is 0.000205646 rounded to seven dps? 0.0002056 What is 0.1356 rounded to three dps? 0.136 What is 206715 rounded to the nearest ten thousand? 210000 Round 233530 to the nearest 100000. 200000 What is -20407.278 rounded to the nearest 1000? -20000 What is 0.908505 rounded to 3 dps? 0.909 Round -0.6418834 to three decimal places. -0.642 Round -1283626 to the nearest one hundred thousand. -1300000 Round -0.0003486291 to six dps. -0.000349 Round -0.000014565447 to 7 dps. -0.0000146 Round 61523000 to the nearest one million. 62000000 Round -0.005940023 to five dps. -0.00594 What is -442944.4 rounded to the nearest one hundred thousand? -400000 Round 0.0017311233 to 6 dps. 0.001731 What is -3913943 rounded to the nearest 1000? -3914000 What is -22.9018 rounded to the nearest ten? -20 What is -4443348.6 rounded to the nearest ten thousand? -4440000 Round -0.00001460673 to 6 dps. -0.000015 Round -0.00103346939 to four decimal places. -0.001 Round 1187980 to the nearest 10000. 1190000 What is -0.082440925 rounded to five dps? -0.08244 What is -31094.942 rounded to the nearest 100? -31100 Round -322.186 to the nearest one hundred. -300 What is 0.1297328 rounded to 2 dps? 0.13 What is 77985.64 rounded to the nearest one hundred? 78000 What is -0.000009615735 rounded to seven dps? -0.0000096 What is 0.0624125 rounded to 4 decimal places? 0.0624 What is 3832.44 rounded to the nearest one thousand? 4000 What is 1829300 rounded to the nearest 100000? 1800000 What is 4464425 rounded to the nearest 1000000? 4000000 Round -7602.851 to the nearest 1000. -8000 What is 1061.1672 rounded to the nearest 100? 1100 Round -1179.393 to the nearest 100. -1200 What is -0.00003070516 rounded to 7 decimal places? -0.0000307 Round 0.00041601 to 4 decimal places. 0.0004 What is -493.8331 rounded to one decimal place? -493.8 Round -304350.9 to the nearest 1000. -304000 Round 0.000004821413 to 7 dps. 0.0000048 What is 0.3953933 rounded to 2 decimal places? 0.4 Round -0.224858 to 4 decimal places. -0.2249 What is 0.24704538 rounded to 3 dps? 0.247 What is -0.05736819 rounded to 2 decimal places? -0.06 Round 106.461 to one decimal place. 106.5 Round -0.0000017024822 to seven decimal places. -0.0000017 What is -10535582000 rounded to the nearest 1000000? -10536000000 What is 39432000 rounded to the nearest 1000000? 39000000 What is 0.0473904 rounded to three decimal places? 0.047 Round -0.00183348 to 4 decimal places. -0.0018 What is -3.1468823 rounded to one dp? -3.1 Round -0.0034527781 to 3 decimal places. -0.003 Round -8.412217 to one decimal place. -8.4 Round 0.00001214373 to six decimal places. 0.000012 What is -261793800 rounded to the nearest one million? -262000000 What is 10316.448 rounded to the nearest one hundred? 10300 Round 214217920 to the nearest one hundred thousand. 214200000 Round 94014700 to the nearest 10000. 94010000 What is 0.000108669 rounded to 4 dps? 0.0001 Round -0.00000085763 to 6 decimal places. -0.000001 Round 3658590 to the nearest one million. 4000000 What is 285880000 rounded to the nearest 1000000? 286000000 What is 0.005123006 rounded to four dps? 0.0051 Round 7829.02 to the nearest one hundred. 7800 Round -68.11232 to two decimal places. -68.11 What is 1.49809 rounded to the nearest integer? 1 What is -27470.457 rounded to the nearest 1000? -27000 Round -3376028000 to the nearest 1000000. -3376000000 Round 0.01064858 to six dps. 0.010649 Round 990.6288 to the nearest 10. 990 What is 631499.5 rounded to the nearest 10000? 630000 Round 1379.1499 to the nearest integer. 1379 Round -668324700 to the nearest one million. -668000000 What is -0.026716765 rounded to five decimal places? -0.02672 Round 103.5158 to zero dps. 104 What is -467386.2 rounded to the nearest 10000? -470000 What is 0.4198394 rounded to 1 dp? 0.4 Round 0.000624165 to six dps. 0.000624 What is 4013.8561 rounded to the nearest integer? 4014 Round 111.18351 to the nearest 10. 110 What is 0.00499543 rounded to 3 dps? 0.005 Round -576703 to the nearest 100000. -600000 Round 486.643 to 0 decimal places. 487 Round -0.0000724061 to 5 dps. -0.00007 What is 5428.649 rounded to the nearest one hundred? 5400 Round 4088791000 to the nearest 1000000. 4089000000 What is -41736.83 rounded to the nearest 10000? -40000 What is 0.0000447195 rounded to 5 dps? 0.00004 What is 7264487000 rounded to the nearest one million? 7264000000 What is 18.846141 rounded to 2 decimal places? 18.85 What is 9780.66 rounded to the nearest 1000? 10000 What is -0.10943164 rounded to three dps? -0.109 What is -2409.76 rounded to the nearest integer? -2410 What is 1321.59 rounded to the nearest 10? 1320 What is -6.7390721 rounded to two dps? -6.74 Round -8199517 to the nearest 100000. -8200000 What is 0.0006971339 rounded to 6 decimal places? 0.000697 Round 5327.48 to the nearest one thousand. 5000 What is 587588100 rounded to the nearest 100000? 587600000 What is 1404610 rounded to the nearest 10000? 1400000 What is 0.00004437754 rounded to five decimal places? 0.00004 What is 0.001598151 rounded to 5 decimal places? 0.0016 What is 325.4915 rounded to one dp? 325.5 What is -72.688 rounded to the nearest one hundred? -100 Round -0.001780813 to 6 dps. -0.001781 What is 82.42095 rounded to the nearest ten? 80 What is -0.00000260193 rounded to 6 dps? -0.00000
{ "pile_set_name": "DM Mathematics" }
1? 17 Calculate the highest common factor of 37604 and 158. 158 What is the highest common factor of 165 and 11517? 33 Calculate the greatest common divisor of 66 and 6974. 22 Calculate the highest common factor of 198 and 86823. 99 Calculate the highest common factor of 432396 and 36. 36 What is the highest common factor of 2016 and 3150? 126 What is the highest common factor of 7480 and 10538? 22 What is the highest common divisor of 197328 and 96? 48 What is the highest common divisor of 879060 and 156? 156 Calculate the greatest common divisor of 30222 and 27. 9 Calculate the greatest common divisor of 1048 and 103490. 262 Calculate the highest common divisor of 23291447 and 31. 31 Calculate the highest common divisor of 30936 and 120. 24 Calculate the greatest common factor of 47360 and 25. 5 What is the greatest common divisor of 1028705 and 5? 5 What is the greatest common factor of 6906 and 12? 6 What is the highest common divisor of 820 and 25625? 205 What is the highest common divisor of 189106 and 23? 23 Calculate the greatest common factor of 4256 and 5985. 133 Calculate the highest common factor of 9265 and 3488. 109 Calculate the greatest common factor of 1456 and 494130. 182 Calculate the highest common factor of 87 and 486. 3 What is the greatest common divisor of 63 and 1045521? 9 What is the highest common divisor of 822231 and 135? 27 Calculate the greatest common divisor of 28 and 154. 14 Calculate the highest common divisor of 5464 and 68. 4 What is the greatest common factor of 28 and 522130? 14 What is the greatest common factor of 18 and 409746? 6 Calculate the highest common factor of 726 and 334202. 242 What is the greatest common factor of 2799 and 144? 9 What is the highest common divisor of 500346 and 126? 126 Calculate the highest common factor of 3937 and 5461. 127 What is the greatest common factor of 195 and 107640? 195 Calculate the greatest common divisor of 436 and 38. 2 What is the greatest common factor of 5304 and 145197? 663 What is the highest common divisor of 109120 and 155? 155 Calculate the greatest common factor of 3752 and 39872. 56 What is the greatest common factor of 58 and 1068911? 29 What is the highest common factor of 76342 and 328? 82 What is the greatest common divisor of 513386 and 1070? 214 Calculate the greatest common divisor of 1323 and 1617. 147 Calculate the highest common factor of 4111 and 8. 1 What is the greatest common divisor of 23505 and 1320? 15 Calculate the highest common factor of 15138 and 3456. 18 Calculate the greatest common divisor of 41058 and 27. 9 Calculate the greatest common divisor of 1637 and 96583. 1637 What is the highest common factor of 180 and 374886? 18 What is the highest common factor of 13842 and 162? 18 Calculate the greatest common divisor of 544 and 234464. 544 Calculate the greatest common divisor of 354 and 78116. 118 What is the greatest common factor of 1815 and 171215? 605 What is the highest common divisor of 13507 and 72? 1 Calculate the highest common divisor of 70692 and 9. 3 What is the highest common divisor of 25350 and 523575? 975 Calculate the greatest common factor of 174230 and 22610. 1330 What is the highest common divisor of 4672 and 2263? 73 Calculate the greatest common divisor of 18431 and 1. 1 What is the highest common divisor of 5576 and 22100? 68 Calculate the greatest common factor of 1173 and 1326. 51 What is the greatest common divisor of 102483 and 177? 177 What is the greatest common factor of 8988 and 113634? 642 What is the greatest common factor of 10206 and 86427? 81 What is the highest common factor of 130 and 10963745? 65 Calculate the highest common factor of 130 and 47290. 10 Calculate the greatest common factor of 16191219 and 11. 11 Calculate the greatest common factor of 386194 and 38. 38 Calculate the highest common factor of 4225 and 32617. 169 What is the greatest common divisor of 1019223 and 324? 81 What is the highest common factor of 157650 and 325? 25 Calculate the greatest common factor of 2684 and 232276. 44 Calculate the highest common divisor of 656028 and 45. 9 Calculate the greatest common divisor of 117960 and 480. 120 What is the highest common divisor of 2061 and 2223? 9 Calculate the highest common divisor of 2124 and 16756. 236 Calculate the highest common divisor of 1238174 and 826. 826 What is the greatest common divisor of 465 and 210? 15 Calculate the highest common factor of 4584 and 18. 6 Calculate the greatest common divisor of 1991 and 44495. 11 What is the highest common divisor of 9380 and 198320? 1340 What is the highest common factor of 1648 and 155118? 206 Calculate the greatest common factor of 283 and 701. 1 What is the greatest common factor of 19533 and 5321? 17 Calculate the greatest common divisor of 2088 and 8616. 24 Calculate the highest common divisor of 726 and 473957. 121 What is the highest common factor of 3048948 and 518? 518 What is the highest common factor of 92703 and 663? 39 Calculate the greatest common factor of 114 and 8842. 2 Calculate the highest common divisor of 15 and 5988. 3 Calculate the highest common factor of 17545 and 66066. 121 Calculate the highest common factor of 21 and 23156. 7 What is the highest common divisor of 25 and 3332575? 25 Calculate the greatest common factor of 32 and 86896. 16 What is the highest common divisor of 440 and 1010? 10 What is the greatest common divisor of 27144 and 297453? 1131 Calculate the greatest common factor of 3570790 and 20. 10 Calculate the highest common divisor of 1365252 and 21. 21 What is the greatest common factor of 3186 and 4130? 118 Calculate the highest common divisor of 250 and 2410. 10 Calculate the greatest common factor of 96390 and 4080. 510 Calculate the greatest common divisor of 237825 and 14496. 453 Calculate the greatest common factor of 111 and 2815441. 37 What is the highest common divisor of 308 and 6524? 28 Calculate the highest common factor of 26617 and 516. 43 Calculate the highest common divisor of 374490 and 1425. 285 Calculate the greatest common divisor of 3940 and 4076915. 985 Calculate the greatest common divisor of 891 and 451. 11 What is the highest common factor of 462 and 1199? 11 Calculate the greatest common factor of 2229280 and 520. 40 Calculate the highest common divisor of 134580 and 960. 60 Calculate the greatest common divisor of 12 and 582801. 3 Calculate the greatest common divisor of 229672 and 760. 152 Calculate the highest common divisor of 229 and 115187. 229 What is the highest common divisor of 15974 and 4312? 98 Calculate the highest common divisor of 11 and 963347. 11 Calculate the highest common factor of 91191 and 3228. 807 What is the greatest common divisor of 30 and 2010070? 10 Calculate the greatest common factor of 97 and 126779. 97 Calculate the highest common factor of 40 and 86800. 40 What is the highest common factor of 348 and 20677? 29 Calculate the greatest common factor of 2676 and 12. 12 What is the greatest common divisor of 208 and 47024? 16 Calculate the highest common factor of 66300 and 1200. 300 Calculate the greatest common divisor of 4060 and 12145. 35 Calculate the highest common factor of 94 and 428734. 94 What is the greatest common factor of 299003 and 19? 19 What is the greatest common factor of 109715 and 20? 5 Calculate the greatest common divisor of 85725 and 1275. 75 Calculate the highest common divisor of 33509 and 21. 7 What is the highest common factor of 183008 and 516? 172 Calculate the highest common divisor of 111807 and 2952. 369 What is the highest common factor of 648 and 24984? 72 Calculate the greatest common factor of 253330 and 27401. 517 What is the highest common factor of 892555 and 5212? 1303 What is the greatest common divisor of 87 and 603171? 87 What is the greatest common divisor of 638 and 28512? 22 What is the highest common factor of 525 and 140775? 75 Calculate the greatest common divisor of 2240 and 4130. 70 What is the highest common divisor of 60 and 357810? 30 What is the highest common factor of 875 and 1277675? 175 Calculate the highest common divisor of 39637 and 65. 13 What is the greatest common divisor of 54636 and 21? 3 What is the greatest common divisor of 66 and 58564? 22 C
{ "pile_set_name": "DM Mathematics" }
ive of 0*g + 0*g**3 + 0 + 0*g**5 - 1/105*g**7 + 0*g**6 - 1/8*g**4 - g**2. Find the second derivative of n(j) wrt j. -24*j**2 Let b(g) = g**4 + g**3 + g - 8. Let r(d) = -2*d - 2*d**3 + 12*d**3 + d - 11*d**3 - 1. Let i(y) = -b(y) - r(y). Differentiate i(c) with respect to c. -4*c**3 Let u(o) be the second derivative of -5*o**4/3 + 7*o**3/3 - 17*o. What is the second derivative of u(c) wrt c? -40 Let t(a) be the third derivative of -a**9/504 - a**5/60 + 5*a**2. Find the third derivative of t(h) wrt h. -120*h**3 Suppose 1 = -5*d + 6. What is the third derivative of -5*u**2 + 9 - d + u**5 - 8 wrt u? 60*u**2 Let q(a) = -93*a**2 - 26*a. Let s(t) = 139*t**2 + 39*t. Let d(v) = 7*q(v) + 5*s(v). Find the second derivative of d(n) wrt n. 88 Suppose -5*w + 3*w + 13 = 5*t, 2*t = 5*w - 18. What is the first derivative of -1 - 2*d**w - 2 - d**4 wrt d? -12*d**3 Let l be (-38)/5 - (-4)/(-10). Let z = 13 + l. What is the third derivative of 6*f**2 - 2*f**2 + 0*f**5 - 3*f**z + 4*f**5 wrt f? 60*f**2 Let v(n) = -n**2 - 4*n - 1. Let y be v(-2). Let q(w) be the second derivative of 1/6*w**y + 0 + 3*w + 3/2*w**2. Differentiate q(f) with respect to f. 1 Let u(v) be the third derivative of v**9/72 + v**5/20 - 5*v**2. Find the third derivative of u(c) wrt c. 840*c**3 Suppose -5*y + 2*y = -12. Find the second derivative of x**2 - y*x + x + 4*x wrt x. 2 Suppose 0 = 6*k - 13*k + 28. Let x(p) be the third derivative of 1/6*p**k + 4*p**2 + 0*p + 0 + 1/3*p**3. Find the first derivative of x(i) wrt i. 4 Let b(f) be the second derivative of f**6/24 + f**4/24 + 3*f**2/2 + 4*f. Let h(m) be the first derivative of b(m). What is the second derivative of h(r) wrt r? 30*r Let h = 18 + -15. Find the third derivative of 2*q**2 - 2*q**2 + 4*q**h + 0*q**2 + q**2 wrt q. 24 Let s(j) be the first derivative of 0*j**6 + 0*j**4 + 3 + 0*j + 0*j**5 - 1/3*j**3 + 0*j**2 + 1/7*j**7. What is the third derivative of s(p) wrt p? 120*p**3 Find the first derivative of -1 - 14*v**4 - 2 + 8 wrt v. -56*v**3 Let h(y) = 32*y**3 - 11*y - 32. Let r(o) = 11*o**3 - 4*o - 11. Let c(b) = 4*h(b) - 11*r(b). What is the derivative of c(g) wrt g? 21*g**2 Let n be 13/12 - (0 - -1). Let v(w) be the third derivative of 0*w + w**2 + n*w**4 + 1/6*w**3 + 0. What is the derivative of v(s) wrt s? 2 Let z = -12 - -17. Find the second derivative of 0*j + j**z - 3*j + 3*j**5 + 6*j wrt j. 80*j**3 Let s = 14 - 12. Suppose 4*g - g - b - 14 = 0, 4*b = -5*g + 29. What is the second derivative of s*j**g + 0*j**5 - j**5 - 2*j wrt j? 20*j**3 Let v(y) = 15*y + 14. Let m(d) = 14*d + 15. Let b(a) = -4*m(a) + 3*v(a). Differentiate b(z) with respect to z. -11 Let r(h) = -h**4 + 3. Let w(m) = -m**4 + 1. Let b(p) = -p - 6. Let n be b(-8). Let t(d) = n*w(d) - r(d). Find the first derivative of t(g) wrt g. -4*g**3 Let w(k) = k**2 - 8*k + 9. Let l(z) = 6*z**2 + 1. Let a be l(1). Let v be w(a). What is the first derivative of -1 - 2 + v + 2*t wrt t? 2 What is the first derivative of -15 - 5*r - 10*r + 12*r wrt r? -3 Differentiate 7*f**4 - 5*f**2 + 0*f**4 + 5*f**2 + 13 with respect to f. 28*f**3 Suppose r = 2*l + 2, -l - 1 = 2*r - r. Let y(z) = -2*z - 2. Let t(p) = -p - 1. Let f(i) = l*y(i) - 5*t(i). Differentiate f(u) wrt u. 7 Let w be 11/4 - 6/(-24). Find the first derivative of -4 + 4*k**3 - k**3 + w wrt k. 9*k**2 Let f(v) = 20*v**2 - v + 4. Let c(b) = 19*b**2 + 5. Let p(t) = -4*c(t) + 5*f(t). What is the second derivative of p(l) wrt l? 48 What is the second derivative of 12*c + 0*c - 332*c**2 + 349*c**2 wrt c? 34 Let q(o) be the second derivative of o**8/2 + o**4/3 - 18*o. Find the third derivative of q(j) wrt j. 3360*j**3 Let w(z) = 10*z**5 - 4*z**2 - 25*z. Let q(h) = h**5 - h**2 + h. Let o(c) = 4*q(c) - w(c). Find the second derivative of o(m) wrt m. -120*m**3 Let c(w) = 20*w**2 + 51. Let a(z) = 10*z**2 + 25. Let u(g) = -5*a(g) + 2*c(g). What is the derivative of u(s) wrt s? -20*s Let h(l) be the first derivative of l**5/120 + l**4/12 + l**3 - 3. Let f(g) be the third derivative of h(g). Find the first derivative of f(q) wrt q. 1 Suppose 15 = 3*a - 0*a. What is the derivative of 3*t**3 + 1 - 2*t**3 + a wrt t? 3*t**2 Let u(t) be the third derivative of t**9/432 - t**5/120 + t**3/6 - t**2. Let g(l) be the first derivative of u(l). Find the second derivative of g(f) wrt f. 140*f**3 Let g(y) = -4*y - 2. Let k(c) = 3*c + 2*c - 6*c - 7 - 10*c. Let s(x) = -8*g(x) + 3*k(x). What is the derivative of s(f) wrt f? -1 Let v be ((-5)/(-4))/((-1)/(-4)). What is the second derivative of -m**5 - m**5 + v*m**5 - 2*m wrt m? 60*m**3 Let c = 6 + -6. What is the second derivative of 2*s**3 + c*s**3 + s + 4*s**3 - 4*s**3 wrt s? 12*s Let d(x) be the third derivative of 0*x**6 + 0*x**4 - 2/105*x**7 + x**2 + 1/15*x**5 + 0*x + 0*x**3 + 0. What is the third derivative of d(f) wrt f? -96*f Let t(l) be the third derivative of 43*l**8/336 - 3*l**4/8 + 51*l**2. Find the second derivative of t(i) wrt i. 860*i**3 What is the first derivative of -1 + 0*m**4 - 4*m**4 + m**4 - 2*m**4 wrt m? -20*m**3 Let l = -1 + 4. What is the derivative of -l - 1 - 3*f + 5 wrt f? -3 Suppose 5*a = a + 2*r, -2*a + 16 = 3*r. What is the first derivative of 91*v**2 - 97*v**2 - 1 - a wrt v? -12*v Let w(g) be the first derivative of -11*g**3/3 + 18*g + 8. What is the first derivative of w(y) wrt y? -22*y Let i(c) be the first derivative of 0*c + 0*c**3 - c**4 + 3/2*c**2 - 4. Find the second derivative of i(g) wrt g. -24*g Let x(t) be the third derivative of 17*t**4/24 - 8*t**3/3 - 2*t**2. Differentiate x(i) with respect to i. 17 Find the second derivative of -6*x + 6*x**5 + 0*x + 4*x wrt x. 120*x**3 Find the first derivative of 3*q**3 + 12 + 7*q**3 - 2*q**3 - q**3 wrt q. 21*q**2 Let h(k) = -k**2 - 13*k + 15. Let v(z) = 4*z - 5. Let w(g) = 2*h(g) + 7*v(g). Let i(n) be the first derivative of w(n). Differentiate i(p) wrt p. -4 Let k be (1 - 0)/(1/2). Suppose 0*s + 4 = -2*n + 4*s, 16 = 2*n + s. What is the third derivative of -2 + k + z**n + z**2 wrt z? 120*z**3 What is the third derivative of 3*j**2 - 4*j**3 - 13*j**3 - 3*j**2 - 13*j**2 wrt j? -102 Let o(b) be the second derivative of 7*b**4/12 - 5*b**2/2 - 2*b. What is the first derivative of o(l) wrt l? 14*l Let y(d) be the second derivative of -d**6/6 - d**3 - d. Find the second derivative of y(k) wrt k. -60*k**2 Suppose 5*k + r - 12 = 2*r, -5*r + 21 = 2*k. Let n be 6/(1 + -13) + (-7)/(-2). Differentiate -2*a**n + 2*a**3 + 2 + 5*a**3 - 3*a**k wrt a. 6*a**2 Let a(x) be the second derivative of x**7/210 - x**5/20 + x**3 + 3*x. Let s(y) be the second derivative of a(y). What is the second derivative of s(r) wrt r? 24*r Let i(n) be the third derivative of 3*n**5/20 - 5*n**4/24 + 5*n**2. Find the second derivative of i(r) wrt r. 18 Let y be 2 + -1 - (0 - -1). Suppose y = -5*u + u + 8. Find the third derivative of 0*x**2 + 0*x**u - x**4 - x**2 wrt x. -24*x Let h(x) be the first derivative of 7*x**5/5 + 35*x**2/2 - 2*x - 31. Find the second derivative of h(y) wrt y. 84*y**2 Let x(t) = 10*t**4 + 6*t**3 + 5*t - 6. Let g(d) = -11*d**4 - 7*d**3 - 6*d + 7. Let y(o) = 6*g(o) + 7*x(o). Find the second derivative of y(k) wrt k. 48*k**2 Let g(b) be the second derivative of -b**9/1512 - b**6/180 + b**3/2 - b. Let j(m) be the second derivative of g(m). Find the third derivative of j(u) wrt u. -120*u**2 Suppose -3*t + 2*s + 0 = 12, 5*s - 25 = 5*t. Let w = t + 4. Differentiate -5*v**2 + 8*v**2 + 1 + w wrt v. 6*v Let f(q) = -3*q**2 + 7*q - 5. Let m(h) = 3*h**2 - 8*h + 6. Let r(l) = -6*f(l) - 5*m(l). Find the second derivative of r(c) wrt c. 6 Let a(v) = 19*v**3 + 3*v - 1. Let f(z) = 38*z**3 + z**2 + 5*z - 1. Let c(k) = 10*a(k) - 6*f(k). What is the third derivative of c(m) wrt m? -228 Let y be (1/(-1))/(2/(-126)). What is the third derivative of y*t**5 - 59*t**5 + t**2 - 2*t**2 wrt t? 240*t**2 Let g(m) be the first derivative of -m**6 - 17*m**3/3 - 8. Find the third derivative of g(w) wrt w. -360*w**2 Let v be 2*2/(-8)*-8. Find the third derivative of 2*f**4 + f**4 - 3*f**5 + f**2 - 3*f**v wrt f. -180*f**2 Let b(f) be the first derivative of -f**7/14 - f**3/3 + f + 1. Let m(t) be the first derivative of b(t). What is the second derivative of m(s) wrt s? -60*s**3 Let n(f) be the second derivative of -f**4 + 7*f**2/2 - f. Find the first derivative of n(b) wrt b. -2
{ "pile_set_name": "DM Mathematics" }
er: -1 or -9/45245? -1 Which is bigger: 0.2744 or 36? 36 Is 3019.9 > -0.2? True Are 1 and -2/16541205 nonequal? True Is -7171 equal to -7144? False Are 265687 and 265690 nonequal? True Which is bigger: 439092 or 439094? 439094 Is 467419 <= 467423? True Which is smaller: 34131 or 34130? 34130 Which is smaller: -2/3 or 3/65405? -2/3 Is 0.2 > 1.710698? False Do -2208 and -81645/37 have different values? True Is -119/8875 >= 0.3? False Are -1 and -35/5363 equal? False Is 1 greater than 2/484849? True Which is smaller: 8673 or 8745? 8673 Is -1151 greater than -12666/11? True Are -7 and 7522 unequal? True Is -25247/3 smaller than -8415? True Is -811156 at least as big as 2? False Which is smaller: -1 or 1/8706382? -1 Which is smaller: -2931989/4 or -732998? -732998 Is 192387 < 192388? True Which is bigger: 47/6 or -1/183? 47/6 Which is bigger: -1619549 or -1619550? -1619549 Which is smaller: 68620 or 68627? 68620 Is 2/2946923 < -1? False Is 2416 != -3? True Is 493 <= 680? True Which is smaller: -58981 or -58978? -58981 Which is greater: 0 or -4/248327? 0 Is 284835 less than or equal to 1993844/7? False Is 4331 <= 548? False Are -250/28369 and 0 nonequal? True Does 0 = -5/4862377? False Do -3 and -447/137 have different values? True Which is greater: -5828 or -5759? -5759 Is 31721 at least as big as 31722? False Is 2825 greater than or equal to 2896? False Is -24 equal to -76? False Which is bigger: -11980/41 or -293? -11980/41 Which is greater: -5922 or -57? -57 Do -2829 and -99 have the same value? False Which is smaller: -53 or -12422/235? -53 Is 43513 less than 43503? False Is -150660/97 smaller than -1552? True Which is bigger: 7692 or 7679? 7692 Is 297859/3 != 99285? True Which is greater: 1.08 or 0.119? 1.08 Which is smaller: 11944 or 0.136? 0.136 Is 13535 less than or equal to 13499? False Which is bigger: 62182 or 62157? 62182 Which is smaller: -1 or 18/89731? -1 Which is bigger: 119364 or 119363? 119364 Is 802054 smaller than 802055? True Which is smaller: -281 or -240? -281 Which is bigger: -44/729 or 1? 1 Do 2/7 and 54018 have the same value? False Which is smaller: -5259/47 or -112? -112 Which is bigger: 19023 or -3/4? 19023 Which is bigger: -511702 or 1? 1 Is 718441 < 718439? False Is 6523 less than or equal to 6543? True Which is smaller: -1/26 or -655/13? -655/13 Are 1311 and 1466 equal? False Which is smaller: 0 or 11/5089? 0 Which is smaller: 1/13 or 3/102871? 3/102871 Is 2583 less than or equal to 2579? False Is 62/43 > -137? True Is -1 greater than 235/1826? False Is 4 bigger than -385/24? True Which is greater: 175425 or 175421? 175425 Which is bigger: 8.7 or 929/98? 929/98 Does -848598 = -848599? False Which is greater: 1/1802276 or -1/2? 1/1802276 Are -625436 and -625436 equal? True Is 22052 greater than 22053? False Which is bigger: 5/2 or -4298? 5/2 Which is smaller: -1/62 or -4649? -4649 Is 1 greater than or equal to 2/2116051? True Is 1875/107 greater than 18? False Is -948/73 < -12? True Is -2 != -141/55? True Which is bigger: -11059 or -11055? -11055 Which is bigger: -37745 or -37746? -37745 Is -307 less than or equal to -72? True Is 0 bigger than -103/31737? True Which is smaller: -7598/9 or -845? -845 Which is smaller: -82 or 3924? -82 Is -66358/13 at least as big as -5103? False Which is smaller: -1/2 or -534/35? -534/35 Is 0.2634 less than or equal to -6? False Is -467179 smaller than -467178? True Which is smaller: 6.5151 or 5? 5 Is -1283 greater than -1286? True Which is smaller: 0.1225 or 94? 0.1225 Is -0.2 bigger than 10943/27? False Is 144 smaller than 10786? True Are 1/25 and 0.4115 unequal? True Which is greater: 0 or -26/989? 0 Is 0 at least as big as 1/480? False Which is bigger: -3 or -47974? -3 Which is greater: 16077 or 11? 16077 Is -7.7 >= -22/481? False Does -2 = 1990.3? False Which is smaller: -112220/7 or -16032? -16032 Is -46.88 smaller than 0? True Is -260 < 26? True Which is smaller: 1436/67 or 6? 6 Are 8 and 1/69201 nonequal? True Is 69105 less than or equal to 69103? False Are -2202 and -2200 nonequal? True Are -129198 and -129198 non-equal? False Is -4431 not equal to -4430? True Is 91658/15 at least as big as 6110? True Which is smaller: 80 or 104? 80 Is 4281/2 less than 2141? True Which is greater: 10 or 26/9751? 10 Which is smaller: -108264 or -108266? -108266 Is -26860/13 equal to -2066? False Does 1193/10 = -48? False Which is bigger: -3/4 or 6358? 6358 Is -2/723787 >= -1? True Which is smaller: -19029 or -133200/7? -19029 Is -7/2 bigger than 0.073483? False Which is smaller: -0.4 or 0.2874? -0.4 Is 2924/5 at least as big as 585? False Which is smaller: -179318 or -179319? -179319 Is -6116 >= -6117? True Which is greater: 1 or -3/162100? 1 Are -76 and 64027 nonequal? True Which is bigger: 638 or 654? 654 Is 3/20 at most as big as 38138? True Are -307 and -279 nonequal? True Which is greater: -1/171 or -169? -1/171 Which is bigger: -2/186733 or 0? 0 Which is bigger: -25330 or -25335? -25330 Which is bigger: 1976304/7 or 282328? 1976304/7 Do -80/10903 and 1 have the same value? False Which is greater: 113/291 or 1? 1 Is -1/796693 at most as big as -1? False Is 2110805 at least 2110805? True Is -43 >= -1414/33? False Which is smaller: 407210 or 0.1? 0.1 Is 97117 smaller than 97120? True Which is smaller: -1656 or -1579? -1656 Which is bigger: 2 or 713/225? 713/225 Are -10/843187 and 1 non-equal? True Which is bigger: -447087 or -447091? -447087 Is -42382 bigger than -42393? True Do -389861 and 1/2 have the same value? False Are 28 and 2275 unequal? True Which is greater: -14865/8 or -1859? -14865/8 Is -2656 at most as big as -347? True Is -15439 bigger than 26? False Is 11122 less than or equal to 11207? True Is 119702/9 bigger than -1? True Are 2.6 and -3724 nonequal? True Is -6/943855 < 0? True Are -7389 and 0.8 non-equal? True Is -1 >= -3583? True Is -23 at least as big as -862/37? True Which is smaller: 1/79804 or 0? 0 Which is smaller: 1933 or 1887? 1887 Which is smaller: 57644 or -2/41? -2/41 Which is bigger: 882 or 993? 993 Which is bigger: -173 or -18554/107? -173 Is -59251/6 greater than -9876? True Which is bigger: 1 or 4/63461? 1 Which is bigger: -0.197 or 53? 53 Which is greater: -52/1847 or 0? 0 Is 79 >= -10/5951? True Which is greater: 16649 or 16490? 16649 Which is smaller: 547 or 151? 151 Which is smaller: -9629 or -9641? -9641 Is 30.59 greater than -0.53? True Is 24 bigger than 17984/707? False Which is bigger: -15265950 or -15265949? -15265949 Does 891 = -4776? False Is 0 greater than -15/526087? True Which is smaller: -49 or 38774? -49 Do -56997 and -56997 have the same value? True Is -68084 at most as big as -68084? True Which is smaller: 242 or -4662? -4662 Which is smaller: -198/28859 or 0? -198/28859 Is 2 at least 16380/11? False Which is bigger: -8093 or -23? -23 Which is smaller: -1 or -6/637063? -1 Which is smaller: 1 or 189/15044? 189/15044 Which is smaller: -373 or -2555? -2555 Do 7082978 and 7082978 have the same value? True Is -2/3 less than or equal to 176542? True Is -1 equal to 5/39099? False Is 51/8 >= -58? True Which is bigger: 15544 or 15573? 15573 Is 27902 greater than or equal to -0.3? True Which is smaller: -2/5 or -4.482? -4.482 Are 2392 and -2/107 equal? False Which is smaller: -2/43 or -7532? -7532 Do 601 and -127 have different values? True Which is bigger: 37244/17 or 2192? 2192 Is 704 < 23957/34? True Is -290/1241 < -1? False Is -52426 greater than -52423? False Which is smaller: 2561 or 2538? 2538 Is -1 greater than or equal to 2/16841? False Which is greater: -36224 or -36223? -36223 Is 18750 < 10? False Which is smaller: -43825 or -43826? -43826 Which is bigger: 36649 or 36648? 36649 Which is smaller: 4 or -307.19? -307.19 Is 0 not equal to 3/852653? True Are -2/15181373 and 1 equal? False Is 3894 smaller than -1? False Is -10807 > -10814? True Which is smaller: 79 or 2955/38? 2955/38 Is -42/53 <= -79? False Which is greater: 4311 or 4289? 4311 Do 428233 and 428234 have different values? True Is -30 greater than or equal to 0.3337? False Which is smaller: -35/3569 or -1? -1 Are -1440516 and -1440516 unequal? False Is -5 greater than or equal to 27493? False Is -27 <= -2152/77? False Is 618837 at least 618838? False Is -1610 at most as big as
{ "pile_set_name": "DM Mathematics" }
6*d = z. Suppose -18 = -p - d. What is the tens digit of p? 1 Let w(t) be the third derivative of t**4/4 - 13*t**3/6 - 12*t**2. What is the tens digit of w(8)? 3 Suppose 6 = -3*k, -4*t - 2146 = -8*t - 3*k. What is the hundreds digit of t? 5 Suppose -549 + 32 = -c. What is the units digit of c? 7 Suppose l = 5*z + 3*l + 286, 3*z = 4*l - 156. Let a = 191 + z. What is the tens digit of a? 3 Let l(r) = -16*r. Let y be l(-1). Suppose 9*j = j - 64. Let m = j + y. What is the units digit of m? 8 Let s(z) = -z**2 - 12*z - 7. Suppose -3*x = -4*g - 8 + 30, -g - 32 = 3*x. What is the tens digit of s(x)? 1 Let f(c) = c**3 - 6*c**2 - 8*c - 3. Let u be f(8). Suppose -3*l + u = -125. What is the tens digit of l? 6 Let t(j) be the first derivative of 6*j**3 + 5*j**2/2 + 6*j - 9. What is the tens digit of t(-2)? 6 Let w(m) = m**3 - 3*m**2 - 7*m + 6. Let p be w(5). Let g = 7 - 7. Suppose g = -i + p + 2. What is the units digit of i? 3 Let o(r) = r**2 + 9*r - 4. Let l be o(7). Let d = 12 + -47. Let m = d + l. What is the tens digit of m? 7 Let n be (-208)/(-2) - (0 + -2). Suppose 174 = -5*i + r + 2*r, -r + n = -3*i. What is the units digit of (i/10)/((-42)/105)? 9 Let x(y) = -31*y - 483. What is the tens digit of x(-56)? 5 Let q(s) = -37*s**3 + 3*s**2 - 4*s - 5. What is the units digit of q(-2)? 1 What is the units digit of ((2810/5)/2)/(4 + -3)? 1 Let z(k) = 24*k**3 + 3*k**2 + 4*k - 27. What is the units digit of z(6)? 9 Let b = -13 + 428. What is the units digit of b? 5 Let x = -87 - -113. Suppose -15*z + x*z = 627. What is the units digit of z? 7 Let h = -565 + 1556. What is the hundreds digit of h? 9 What is the units digit of (-1)/((-9128)/(-3044) + -3)? 1 Let y = -66 - -34. Let k(q) = 11*q - 2. Let v be k(5). Let d = y + v. What is the tens digit of d? 2 Let f be 4/((6/33)/1). Let o be (6 + -7)/((-2)/f). Suppose m - 14 = -3*b, m = 2*m + 2*b - o. What is the units digit of m? 5 Let n(p) = 3 - 3*p - 7 + 2*p - 4. Let x be n(-10). Suppose x*t - 4*t + 58 = 0. What is the tens digit of t? 2 Let a = -800 - -1064. What is the hundreds digit of a? 2 Suppose -10*z + 2*z - 32 = 0. Let v be (-324)/45*10/z. What is the tens digit of 221/7 + v/42? 3 Let j = -16 - -17. Suppose 3*k - j = -7. What is the units digit of ((-16)/3)/(k/3)? 8 Let y(a) = -a**2 - 7*a - 7. Suppose -30 = 5*z - 5. Let x be y(z). Suppose x*n + n - 92 = 0. What is the units digit of n? 3 Let i be (-11)/3 + 4/6. Let c be -2 + 12/4 + i. What is the tens digit of c*(-57)/(-12)*-4? 3 Suppose -5 = 5*o, -5*o = 5*c - 0*o + 50. What is the tens digit of c/1*6/(-18) + 55? 5 Suppose -5*s + 2*a + a + 398 = 0, -s + 80 = -a. Let h = 133 - s. What is the tens digit of h? 5 Let g = 4678 + -1976. What is the tens digit of g? 0 Let h(v) be the third derivative of -v**6/120 + v**5/15 + v**4/12 - v**3 - v**2. Let f be h(5). Let b = 6 - f. What is the tens digit of b? 2 Let g(b) = -16*b - 49. Let z be g(-14). Suppose 9*k - 4*k - 289 = 4*q, -4*q = -3*k + z. What is the tens digit of k? 5 What is the tens digit of -2 + 93 + -7 + 5? 8 Let o = 134 - 60. Let c = o - -26. What is the tens digit of c? 0 Suppose -j = -3*u + 3838, -4*u - 1900 = -4*j - 7012. What is the tens digit of u? 8 What is the tens digit of 2*-26*(147/(-12) + 3)? 8 Let c(n) = 0*n + 2 - 4*n + n. Let z be (0 + -9)/((-9)/(-6)). What is the tens digit of c(z)? 2 Suppose 0 = 3*u - 21 - 213. Let v = 151 - u. What is the tens digit of v? 7 Let o(r) = -r**3 - 7*r**2 + r + 3. Let h be o(-7). Let c(x) = 113*x + 2. Let f be c(h). What is the tens digit of (2 + -1)/((-9)/f)? 5 Let i = 1073 - -276. What is the tens digit of i? 4 Let v = 68 + -65. Suppose c - 102 = v*d, -15 = -5*c - 2*d + 478. What is the units digit of c? 9 What is the hundreds digit of -5 - (-9*44 + -7)? 3 Suppose -4*f + 42 = 2. Suppose -s - f = -2*s. What is the tens digit of s? 1 Let u(c) = -2*c**3 - 9*c**2 + 5*c + 22. Suppose 50*f + 21 = 47*f. What is the hundreds digit of u(f)? 2 Suppose 79 = -7*a - 173. Let x = 14 - a. What is the tens digit of x? 5 Let v = 1720 - 801. What is the tens digit of v? 1 Let u = -8 - -11. Let m(z) = -3*z**2 + 3*z - z**2 - 5 - 91*z**3 + z**2 + 92*z**u. What is the units digit of m(3)? 4 Suppose 0*b - 2*b + 5*f = 31, -5*f + 13 = 4*b. Let c = 0 - b. Suppose 3*l = -c*l + 264. What is the units digit of l? 4 Let t(u) = 2*u**2 - 4*u + 5. Let m = 20 - 24. Let d be t(m). Suppose -4*k + l = k - 271, k - d = -l. What is the tens digit of k? 5 Let t(g) = -10*g - 14. Let s(o) = -o - 1. Let h(m) = -22*s(m) + 2*t(m). Let d be h(6). What is the tens digit of d/(-2) + 4 - -25? 2 Let n(q) = q**2 - q + 10. Let w be (2 - 2)*1/(-2). What is the tens digit of n(w)? 1 Let b(i) = 477*i + 13. What is the hundreds digit of b(1)? 4 Suppose -4*j = -j + 57. Suppose -4*a + 47 - 151 = 0. Let w = j - a. What is the units digit of w? 7 Let s(j) be the first derivative of -8*j**2 - 9 + j**2 - 26*j + 23*j. What is the units digit of s(-3)? 9 Let y = 37 + -104. Let f = -13 - y. What is the units digit of f? 4 Let i = -24 - -31. Suppose -i*o + 8*o = 120. What is the tens digit of o? 2 Let k be ((-10)/3)/(11/(66/(-4))). Suppose k*a = 677 + 108. What is the tens digit of a? 5 Let q = 145 - 205. Let y = 90 + -182. Let z = q - y. What is the units digit of z? 2 Let u = 253 + -116. Let z = 294 - u. What is the hundreds digit of z? 1 Suppose -k = -3*a + 6, 4*a - 5*k - 6 = 2. Suppose -a*o = -0*r + 3*r + 9, 4*r - o = -12. What is the units digit of 40/(r/9*-3)? 0 Suppose -4*n + 0*n - 2*y = 26, -2 = 3*n - 2*y. Let t(p) be the first derivative of -p**2/2 - p + 1. What is the units digit of t(n)? 3 Suppose -d = 2*d. Suppose d + 2 = j. Suppose j*m + 8 - 22 = 0. What is the units digit of m? 7 Suppose -2*m - 2*m = -36. Suppose 15 = 4*k - u, -u + m = 4*k - 0*u. Suppose -130 = -2*v - k*v. What is the units digit of v? 6 Let t(b) = 5 + 2 - 4*b - 4 - 2. Suppose 7 = -3*j - 2. What is the units digit of t(j)? 3 Suppose 0 = -222*z + 220*z + 1184. What is the tens digit of z? 9 Let s be 15/(-10)*(-4)/6. Let l be -4 + s - (-61 - -5). Let a = 84 - l. What is the units digit of a? 1 Let v(u) = 288*u + 169. What is the tens digit of v(5)? 0 Let c = -401 + 651. What is the units digit of c? 0 Let l = 3730 - 2108. What is the hundreds digit of l? 6 Let r(d) = d**3 + 2*d**2 - 4*d + 2. Let v(p) = p + 1. Let k be v(3). What is the tens digit of r(k)? 8 Let y(o) = o**3 - 7*o**2 - o - 15. Let a be y(7). Let r be 4 - a*(-4)/(-8). What is the units digit of 3/(-6) - r/(-2)? 7 Let t = -31 - -19. Let f = t + 12. What is the tens digit of (f + 1)*(-1 - -18)? 1 Let o(q) = -14*q - 40. Let t be o(-9). Suppose 3*x + 0*c + 3*c = 294, -x = 4*c - t. What is the hundreds digit of x? 1 Let p = 1653 + -1046. What is the tens digit of p? 0 Suppose -16*s + 18565 - 3909 = 0. What is the hundreds digit of s? 9 Let u(j) = -2*j + 3*j + 7 + 3*j**2 - 8 + 2*j. Let r be u(-4). Suppose -4*b + 3*b = -r. What is the tens digit of b? 3 Let s(c) = 13*c + 13. Let x(g) = 5*g**2 + g - 1. Let b be x(1). What is the units digit of s(b)? 8 Let q = -38 + 623. What is the units digit of q? 5 Let f be 1/(-4*(-3)/144). Let p be (-4)/(-2 + -2) + f. Suppose -4*q + p = w, 0*w - 2*w + 41 = 5*q. What is the units digit of w? 3 Suppose q + 3*q = 48. Suppose 0 = q*k - 10*k - 58. What is the tens digit of k? 2 Let n be -2 + 2 + -3 - -7. Suppose -2*i = -n*b - 24, -2*b - 2*i = b + 32. What is the units digit of (-9)/(-12) + (-98)/b? 3 Suppose -z - g + 366 = -370, -5*g = 4*z - 2944. What is the tens digit of z? 3 Let s be 3/(-12) - (-714)/(-24). What is the tens digit of (s/(-6) - -102) + 5? 1 Let u(w) = -w**2 + 9*w - 6. Let x be u(8). Suppose 0 = -5*g + x*q - 2198, -g - 4*g = -q + 2194. What is the tens digit of (-4)/6 - g/9? 4 Let x be -1 + (4 - -1 - 0). Suppose 0*g + 24 = x*g. Suppose -g*z = -z - 45. What is the units digit of z? 9 Let v = 779 - 536. Suppose -2*p = p - v. What is the tens digit of p? 8 What is the thousands digit of 319/58*4/11 - -2171? 2 Let i = -1516 - -2254. Suppose -3*c + i = 3*c. What is the hundreds digit of c? 1 Let u(r) = r**3 - 8*r**2 - 13*r + 10. Let n be u(10). Suppose -2*s + 2*j = -2*j - n, -3*s - 4*j = -110. What is the tens digit of s? 3 Let s(n) = 21*n - 25. Let b(r) = 6 - 5 + 10*r - 13. Let l(m) = 7*b(m) - 3*s(m). What is the units digit of l(5)
{ "pile_set_name": "DM Mathematics" }
h + 44*h - 81*h)*(-4 + 1 - 5) in the form g + y*h and give y. 728 Express u + u - 6732 + 6732 in the form w*u + t and give w. 2 Express 3*k**2 - 20*k**2 + 8*k - 16*k - 9*k + 3*k**2 in the form b + p*k + f*k**2 and give f. -14 Rearrange (0*u - 4*u + 2*u + (u + 5*u - u)*(-2 - 2 + 1))*(-25 - u + 5*u - 2*u) to j*u + b*u**2 + p and give j. 425 Rearrange -76*z + 94*z + 64*z to the form v*z + u and give v. 82 Rearrange 1262*g - 1262*g - 16*g**2 + g**2 + (-4*g + 3*g + 6*g)*(4*g - 4*g + g) - 4*g**2 + 2*g**2 + 0*g**2 to u + b*g + z*g**2 and give u. 0 Rearrange ((z - z - 2*z)*(2 - 1 - 2) - 9*z + z - 3*z)*(2 + 5 - 3) to the form r*z + s and give r. -36 Express 68*v + 0*v**2 + 219*v + 134 - 131 + v**2 as i*v + m + k*v**2 and give k. 1 Rearrange (-1037 + 1037 + 58*q**2)*(1 - 1 - q)*(-q + 0*q + 0*q) to k*q + y*q**4 + l + n*q**3 + r*q**2 and give n. 0 Express -163*p**2 + 2*p + 2 - 3*p - 4 + 2 in the form h*p**2 + m + u*p and give u. -1 Express (-2*w - 3 - 2*w + 6*w)*(-23*w - 3*w - 55*w) as i + d*w + b*w**2 and give i. 0 Express (-63 + 31 + 31)*(4*v - 3*v - 4*v) as z + q*v and give q. 3 Express -2306 + 2308 + b - b**2 + 3*b as r*b + x + l*b**2 and give r. 4 Rearrange -2 - 3383*l + l**3 - 5*l**2 + 3383*l - 20*l**4 + 5*l**4 to j*l + g + k*l**3 + v*l**4 + n*l**2 and give v. -15 Rearrange 14*j**2 - 24*j**2 + 9*j**2 - 38*j - 20*j to the form g + f*j**2 + i*j and give i. -58 Rearrange (-4742*h**3 - 5115 + 2565 + 2550)*(1 + 0 - 2) to the form r + b*h**2 + d*h**3 + w*h and give d. 4742 Express -6*l**3 - 2*l - 7*l**3 + 19 - 12*l**3 - 11*l**3 + 35*l**3 in the form p + x*l**2 + s*l**3 + h*l and give s. -1 Express -146*z - 60*z - 88 + 9*z + 86 as u + t*z and give u. -2 Express (51*u - 53*u + 5 + 10)*(4*u - u - 2*u + (-3 + 1 + 0)*(-3*u - 3*u + 4*u) + 0 + u + 0 - u + 0*u + 4*u) in the form g*u + h + y*u**2 and give g. 135 Express (-51 + 609 + 468 - 269)*(2*k - 2*k + 2 + 2*k**4) in the form m*k**2 + n*k + a*k**3 + i*k**4 + j and give j. 1514 Rearrange 9*k**2 - 3*k + 19 + 7*k - k**3 - 47 + 25 to x*k + d*k**3 + a*k**2 + c and give d. -1 Rearrange (6 - 4 - 3)*(621*b + 59*b - 91*b) to the form h*b + u and give h. -589 Express 1 - 1 + 783*y**2 + 11186*y - 11186*y in the form b*y + i*y**2 + z and give i. 783 Rearrange 2*x - x - 4*x + 21*x - 22*x - 32*x - 3 + 3 - 2*x + (4 + 1 - 3)*(2*x + x - x) - x + 4*x - 5*x to q + h*x and give h. -36 Rearrange (82*w - 82*w + 22*w**2)*(8 - 3 + 11) to i*w**2 + x*w + v and give i. 352 Rearrange 4*n**3 - 4*n**3 + 2*n**3 + (-n**3 + 2*n**3 + 0*n**3)*(-2 - 1 + 5) + 51 + 10*n**3 + 3*n**2 - 51 to t*n + a + j*n**2 + l*n**3 and give l. 14 Express (3*y - 3*y - 2*y)*(5 - 11 - 6)*(0*y - 3 + 2*y - 1)*(5*y**2 + 0*y**2 - 3*y**2) as o*y**3 + g*y**4 + s + i*y + x*y**2 and give i. 0 Express (2 + 3 - 3)*(x + x - x)*(485 + 1421 + 327) as l*x + q and give l. 4466 Rearrange (154*v**2 + 190*v**2 - 424*v**2 + 3 - 2*v)*(2*v**2 - v**2 + 1 - 2*v + 0) to the form o + q*v**2 + c*v**4 + b*v + t*v**3 and give q. -73 Express 2*d**4 + 2199*d**3 - 2*d**2 + 1 - 4*d - 2193*d**3 + 5*d**4 as n + y*d**2 + w*d**3 + z*d + h*d**4 and give y. -2 Express 968*c - 512*c - 646*c as h + z*c and give z. -190 Express (-2*q**3 - 2*q**3 + 2*q**3)*(-1 + 3 - 3) + (-6*q + 3*q + q)*(3*q**2 - 4*q**2 + 0*q**2) as n + h*q**3 + l*q**2 + y*q and give h. 4 Express 0 - 3*u**3 + u**4 - 49723*u + 49725*u - 2*u**2 + 0 as j*u**2 + w*u**4 + i + l*u**3 + s*u and give s. 2 Express 2*n + n - n + (0 - n + 0)*(2 - 2 + 1) - n + 0*n + 3*n + (8 - 2 + 3)*(-4*n + 4 - 4) in the form j*n + v and give j. -33 Express 269*a + 215*a + 332*a - 579*a in the form h + x*a and give x. 237 Express -n + 4*n - 5*n - 24*n**2 + n + 7*n as t + b*n**2 + s*n and give s. 6 Rearrange 926*g**4 - 2 + 3 - 467*g**4 - 462*g**4 - 2*g + 2*g**3 to a*g**4 + u*g**2 + d*g**3 + y + f*g and give f. -2 Rearrange (n - 5*n + 2*n)*((-1 + 4 - 1)*(2 - 3 - 2) - 3 + 6 + 9 + 0 + 2 + 0 + (-2 + 2 + 1)*(6 - 4 - 3) + 2 - 4 + 0) to y + l*n and give l. -10 Express (2*h**3 + 0*h**3 - h**3)*(5 + 1 - 5 - 4 - 1 + 4 + (2 - 1 - 3)*(-1 + 1 + 1) - 1 + 2 - 3)*(80 + 405 + 116) as x*h**2 + n*h**3 + l*h + w and give n. -2404 Express (4126 - 4126 + 298*v)*(-2 - 4 + 5)*(-3 + v + 3) as r*v + z*v**2 + k and give z. -298 Rearrange -6 - 106*c**2 + 102*c**2 + 43*c**2 to j*c**2 + n + v*c and give j. 39 Express 14*g**2 - 62*g**2 - 880 + 880 in the form f*g + d*g**2 + b and give f. 0 Express -7*f**2 + 691*f + 6*f**2 - 611*f as d*f**2 + v*f + j and give v. 80 Rearrange (-23*u - 45*u - 11*u)*(-5 + 3 + 0) to the form j*u + h and give j. 158 Express -9*f + 8*f**4 - 1084 + 6*f - 7*f**2 + 1083 as w*f**3 + v*f**2 + h*f + x*f**4 + c and give w. 0 Rearrange 3 - 3 + 5*h + h + h - h + (2*h + 0*h - 4*h)*(1 - 4 + 4) - 26*h + 2*h + 4*h to v*h + l and give v. -16 Rearrange 105 + 2888*m + 146 - 2889*m to n + h*m and give h. -1 Rearrange -140 + 25 + 75 + 64 + 29 - 11*p**3 to j*p + r + c*p**3 + x*p**2 and give c. -11 Rearrange (16*o**3 - 93*o**3 - 71*o**3)*(-3 - 2 + 7)*(-o + 3*o - 4*o) to the form p*o + f*o**3 + c*o**4 + l + n*o**2 and give c. 592 Rearrange (-4 - 4 + 3)*(-g**2 - 3*g**2 + 3*g**2) - 204*g**2 - 292 + 292 to n*g**2 + i*g + f and give n. -199 Rearrange 1 + 6 - 2*q**2 - 2*q - 16 + 5*q**2 - 2*q**3 - 18 to i*q**2 + m*q + r + s*q**3 and give i. 3 Rearrange -29*x + 24*x - 33*x - 4 - 11*x to j + r*x and give j. -4 Rearrange 4*g - g - 5*g**4 - 2*g**2 - 4*g**4 + 22*g**4 + g**3 to the form i + v*g**3 + p*g**2 + j*g**4 + t*g and give p. -2 Rearrange 0 + 0 - 3*q**2 - 2*q - q**2 + 2*q + (q - q - q)*(2*q - 2*q + q) - 75*q**2 + 37*q**2 + 40*q**2 + 4*q + 13 to the form d*q**2 + l*q + t and give d. -3 Rearrange (500 - 79 + 27)*(-2*y + 3*y**3 + 2*y) + y**3 + 2*y**3 - 4*y**3 to the form n*y**2 + w*y**3 + d + o*y and give n. 0 Express 6*n + 578 - 3*n - 66 + 4*n - 6*n as w*n + c and give c. 512 Express (-2*m**2 - 11 + 18 + 24)*(1 - 38*m + 37*m + 5) in the form g*m + y*m**3 + o*m**2 + z and give y. 2 Rearrange (2*i - 2*i - 2*i)*(-2 - 4 + 5) - 1 + 4*i + 1 - 3*i + 3*i - 2*i + (-2 + 4 + 0)*(-3*i + i + 3*i) to the form k + n*i and give n. 6 Express 4*q**3 + 3*q - 873*q**2 + 2*q - 3*q + 862*q**2 as b + o*q**2 + r*q**3 + p*q and give p. 2 Express -6 - 12*l + 6 + 205*l as g + d*l and give d. 193 Rearrange -37354*f**3 + 35*f + 37357*f**3 + 13*f - 2*f**2 to z*f**2 + u + b*f**3 + g*f and give z. -2 Express 4 + 0 - 11 + 13 + 7*g as x*g + a and give x. 7 Rearrange 302*h**2 + 0*h - 485*h**2 - 7*h + 269*h**2 to the form r*h**2 + z*h + w and give r. 86 Express -10*d + 14*d + 2*d + (4*d + d - d)*(1 + 3 + 4) as g*d + u and give g. 38 Rearrange 250*a**2 + 170*a**2 + 1 + 0*a + 0*a + 59*a**2 to v*a**2 + z + r*a and give v. 479 Express (-4 + 2 + 4)*(-1 + 2*y + 1) + (-1 - 2 + 2)*(-4 + 4 + 2*y) + 283*y + 305*y + 919*y in the form f*y + d and give f. 1509 Rearrange (-391*u**2 + 2128*u**2 - 1077*u**2)*(0 + 3 - 2) + 2 + u**2 - 2 + (0 + 2*u + 0)*(3*u - 3*u + 2*u) + 2 - 2 + 2*u**2 to g*u**2 + w + r*u and give g. 667 Rearrange -8*n**2 - n - 8*n**2 - n**3 + 2*n**2 + 0*n to the form t*n + w + q*n**3 + d*n**2 and give t. -1 Rearrange 10*h + 5*h**2 + h**4 + 3 + 23*h - 31*h to p*h**2 + j*h**3 + r*h + c + q*h**4 and give p. 5 Express -3*p**2 + 176*p + 15 - 176*p - 2 as a*p**2 + i*p + k and give a. -3 Express 16*q**3 - 13*q + 6*q**3 + 5 + 14*q - 7 in the form p + z*q**2 + i*q**3 + k*q and give k. 1 Express (10708*x - 20233*x + 10477*x + 1)*(-2 + 0 + 0) as l + w*x and give w. -1904 Express 1 - 1 + 2*l**2 - 21*l**2 + 52*l**2 - l**2 + (2*l - 3*l - l)*(3*l - 5*l + 4*l) + 3*l**2 + 1 - 1 as r*l**2 + t + x*l and give r. 31 Express 70*l**2 - 18 - 181*l**2 + 62*l**2 - 13 + 65*l**2 in the form z*l + h*l**2 + o and give o. -31 Rearrange 4*n + n**2 + 310*n - 173*n to o*n**2 + v + x*n and give x. 141 Rearrange (3 - 3 - u**3 + (0*u**2 - u**2 + 0*u**2)*(0*u - 4*u + 2*u))*(-523 - 1484 + 768) to t*u**3 + d + j*u + p*u**2 and give t. -1239 Rearrange (-195 - 95 - 32)*(3*x - 3*x - 2 - 2*x) to y + k*x and give y. 644 Rearrange (-2*u + 2*u + u)*(7*u + 8 - 8)*(6 + 8 + 3) to h + w*u + p*u**2 and give p. 119 Express (-4*u - 9*u - u**2 + 14*u)*(4*u**2 - 3*u**2 + 2*u**2 - 1) as x*u**3 + b + l*u + d*u**4 + f*u**2 and give d. -3 Rearrange (6 - 2 - 2)*(0*f - 4*f + 2*f + (1 + 0 + 0)*(-4*f + 2*f + 0*f) + f + f - 3*f)*(-369 - 305 + 361) to the form y*f + v and give y. 3130 Express (
{ "pile_set_name": "DM Mathematics" }
106. Let l be o(8). Suppose 5*r + 295 = 4*t, -3*t = -3*r - 30 - 144. Let x be 212/18 - l/r. Solve -3*j + x = j for j. 3 Suppose -6 = 5*w - 2*w + 3*u, -5*w + 25 = -2*u. Suppose -2*a = -c + a + w, -2*c = -a - 11. Solve l - c = -l for l. 3 Let w be ((-3)/5 + (-3)/(-30))*0. Let o = 4 - 0. Suppose m + 5*f = -1, o*m + 5*f - 12 + 1 = 0. Solve w*n + 4*n + m = 0 for n. -1 Suppose b - 10*a + 9*a = 0, 8 = 2*a. Solve 0 = b*u - 7*u - 3*u for u. 0 Let v = 2062 + -2045. Solve -v = 2*l - 27 for l. 5 Suppose 4*r + 4*g = 36, -5*r + 80 = 3*g + 25. Solve 3*n - 2 = -r for n. -4 Suppose 11*m + 239 = 393. Solve m*o - 16*o + 2 = 0 for o. 1 Let b be 332/(-14) + (-6)/21. Let x be (b/(-16))/((-2)/(-4)). Suppose 4*z - 3 = i - 26, 29 = 3*i - 2*z. Solve -4*g + x = -i*g for g. -1 Suppose 5*l = 11*l + 10*l. Solve l = -3*r - 13 + 16 for r. 1 Let v(j) = -4*j + 1. Let p be v(-1). Suppose p*h - 7*h + 4 = 0. Solve -h*s - 8 = -0*s for s. -4 Let x(c) = -c**3 - 3*c**2 + 4*c + 2. Suppose 2*z + 0 = 4*g - 8, 2*z + 5*g + 8 = 0. Let o be x(z). Solve -o = -3*h + 10 for h. 4 Let t = -4 - -4. Suppose 9*n - 11*n = -4. Solve n*l + 6 - 2 = t for l. -2 Let m be 2 + 2 + -1*4. Suppose t + 3*t - 8 = m. Let l(c) = -6*c - 1. Let v be l(-1). Solve -12 = v*g - t*g for g. -4 Let q(l) = -2*l + 27. Let u be q(16). Let k be 3/1 + u*(-8)/20. Solve k*w + 13 = -2 for w. -3 Suppose 0 = -2*r + 14*r - 0*r. Solve 5*q - 25 + r = 0 for q. 5 Let w(f) be the second derivative of -f**5/20 + 7*f**4/12 + 7*f**3/6 + 11*f**2/2 - 14*f. Let z be w(8). Solve 8 = z*g - 1 for g. 3 Let d(r) = r + 21. Let u be d(0). Let b be u*(12/(-60))/(6/(-10)). Solve 3 = -2*n + b for n. 2 Let t be ((-48)/(-18))/(1/3). Suppose 4*z + z = 5. Suppose 3*u - z = t. Solve 0 = u*i + 5 + 1 for i. -2 Let d be -7*(-2 + 80/35) + 6. Solve 0 = -d*n + 25 - 5 for n. 5 Suppose -6 = -2*d + 4. Let w(l) = 13*l + 45. Let v be w(-3). Solve 0 = d*y - 21 + v for y. 3 Suppose 2*n + b = -69, -3*b + 93 = -3*n - b. Let q = n + 35. Solve -j - q + 0 = 0 for j. -2 Suppose -3*k + 17 = 5*x, 5*x + 7 = k + 8*x. Solve -c + k = 7 for c. -3 Suppose -2*r - 8 = -2*o, -41*o - 16 = -2*r - 45*o. Solve r = 11*f - 3*f for f. 0 Suppose 4*d - 92 = -68. Solve 0 = -d*x - 3*x + 27 for x. 3 Suppose 4*u + 5 = i, 20 = -2*u + 5*i - i. Suppose u = -4*n + 5*n - 2. Solve -n = -y - y for y. 1 Suppose -2*s + 2*b - 4*b = -8, s - 13 = -4*b. Solve -5 = -2*g - s for g. 2 Let a be (36/30)/(6/80). Let l = a + -10. Suppose b = l*b - 15. Solve v = -0*v + b for v. 3 Let d(p) = -p**2 - 19*p - 29. Let y be d(-13). Let q = y + -44. Solve -5*o = -4*o + q for o. -5 Suppose 3*v = 3 - 0, 0 = 2*h - 3*v + 3. Suppose -6*m + m + 10 = h. Let a = 5 + m. Solve a = -4*n - 9 for n. -4 Let c(x) = -4 - x**3 - 3*x + 6 + 6*x**2 + 0 - 2*x**2. Let h be c(3). Solve -s + 0*s = h for s. -2 Let n(k) = -k + 8. Let m be n(6). Let q(l) = 8 + 2*l - 24 - l**2 + 16. Let v be q(m). Solve v + 5 = a for a. 5 Let t = 989 - 978. Solve 2*o + 9 = t for o. 1 Let j(n) = 7*n + 52. Let p be j(-6). Solve 0 = p*g - 7*g + 15 for g. -5 Let f = 14 - 14. Suppose 2*o - 5*p - 40 = -f*o, 5*o + 2*p = 42. Solve -j = -3*j + o for j. 5 Suppose 3*h - 2 - 13 = 0. Suppose -5*b = -6*b - 53. Let r = -53 - b. Solve r*z + h = -z for z. -5 Let c(x) = x**2 - 9*x + 10. Let k be c(8). Suppose u = y - 23, -2*u + u + 37 = k*y. Let s be 1/5 - 4/y. Solve 4*q - 6 + 14 = s for q. -2 Suppose -45*u = -42*u - 6. Suppose 16 = u*a - 3*t, 4*a = t + 11 + 1. Solve a = -5*y + 7 for y. 1 Suppose -x + 13 = 4. Suppose 0 = s + 4 - x. Let k be (-2 - -2)*((-20)/8 - -2). Solve -5 = -s*f - k for f. 1 Suppose -y + 2*k + 0*k + 64 = 0, 235 = 4*y - k. Suppose -59*f + y*f = -5. Solve 3 = -4*i - f for i. -2 Suppose 4*l - 20 = 4*p - p, 5*l + 4*p = 56. Suppose 2*w = w - 3*m - 16, -8 = -w + 3*m. Let a = l + w. Solve -20 = a*r - 0*r for r. -5 Let x = 14 - 11. Suppose x = 5*g - 7. Suppose -50 = 2*w - 7*w. Solve 4*q + w = g for q. -2 Suppose -81*u + 90*u - 252 = 0. Solve -h + u = 23 for h. 5 Suppose g - 2*g = -2*p + 1, 5*g - 4*p = 13. Let v be ((-1)/1)/(2/(-6)). Let q(s) = s**3 - 5*s**2 + 7. Let i be q(5). Solve 0 = g*z + v + i for z. -2 Suppose -64*d = -60*d + 4. Let v(t) = -10*t - 4. Let u be v(d). Solve b - u = -4 for b. 2 Let w be 60/8*2/(-3). Let k = w + 9. Let q(m) = 5*m - 10. Let f be q(3). Solve k = f*v - 6 for v. 2 Suppose g = -3*g + 4. Let h be 7 + -2 + g/(-1). Solve 2*n + 2*n - h = 0 for n. 1 Let l(q) = q**2 - q - 1. Suppose -7*z + 15 = -6. Let p be l(z). Suppose -4*d = -5*d + p. Solve 0*i = -i + d for i. 5 Let g(u) = -7*u + 15. Let y be g(0). Solve 7*d - y = 2*d for d. 3 Suppose -3*i = -2*t - 8, -3*i - 34 = 3*t + t. Let x(s) = -4*s - 28. Let w be x(t). Solve w = -2*c + c - 3 for c. -3 Let x = -243 - -247. Solve -2 - x = -2*v for v. 3 Let q = -673 - -689. Solve 11*v = 39 + q for v. 5 Let d(s) = -s**2 - 5*s + 2. Let j be d(-5). Let k = 767 - 767. Solve 3*z - j*z + 3 = k for z. -3 Suppose -4*p + l = -0 + 4, -3*p = -6*l + 24. Solve -a + 6*a + 25 = p for a. -5 Let g(r) = r**2 + 11*r + 20. Let l be g(-9). Solve 3*k + 10 = -l*k for k. -2 Suppose 4*a - 75 = -a. Suppose 0 = -3*v + a - 3. Let z = -4 - -12. Solve -z*k = -4*k + v for k. -1 Let t(z) = -5*z + 3. Suppose -2*b - 16 = 2*b. Let p be t(b). Let x(v) = 5*v - 27. Let w be x(6). Solve -4*g - w + p = 0 for g. 5 Suppose 14*g - 13*g - 2 = 0. Suppose c = -4*n + 63, -g*n - 5*c + 60 = n. Solve -2*i = 3*i + n for i. -3 Suppose 3*c = c. Let s = 1797 + -1797. Solve -z + c + 2 = s for z. 2 Let x(g) = g**3 + 6*g**2 + 4*g - 7. Let p be x(-4). Solve -10 = -p*i - 1 for i. 1 Suppose -17*d + 95 + 41 = 0. Solve -d*a + 3*a = 0 for a. 0 Let r = 47 + -36. Suppose 3*t = -2*j + 11, t + 3 = -5*j + r. Solve -16 = -t*i - i for i. 4 Let f be ((-12)/60)/(1/(-15)). Solve 9 = -f*c + 3 for c. -2 Let a be (2/(-7))/(-8*(-11)/(-308)). Solve -a = -l - 6 for l. -5 Let j = 57 - 9. Suppose -2*p - 5*l + 44 = -l, -4*p + 2*l = -j. Solve p = -5*k + 4 for k. -2 Let n be 0*((-136)/16 + 9). Solve 0 = -5*y - n*y - 20 for y. -4 Let n = -204 + 204. Solve -4*a = -n*a + 20 for a. -5 Let g = 23 - -10. Suppose 10*k - 7 = g. Solve k = -u - u for u. -2 Suppose -2*q - 3*q + 45 = 0. Let o be ((-4)/6)/(2/q). Let r be ((o - -3)/3)/2. Solve -5*v + 8*v = r for v. 0 Let s(f) = 11*f - 224. Let g be s(26). Solve -5*b - g = -47 for b. -3 Suppose 7*x - x - 12 = 0. Let b(s) = 0*s + 0*s + s**x + 0*s**2 - s. Let j be b(2). Solve j*m - 1 - 3 = 0 for m. 2 Suppose -2*w - 12*x = -7*x - 71, 3*w - 115 = x. Solve -w + 13 = 5*p for p. -5 Let v(r) = r**3 - 10*r**2 + 11*r - 16. Let g be v(9). Suppose -g*s - 9 = -15. Solve -s + 6 = b for b. 3 Let q = 314 + -310. Solve -29 = 5*x - q for x. -5 Let j be (15/(-3))/(-5)*0. Suppose -1 - 6 = -2*n - s, j = 3*n + 2*s - 11. Solve -n = -b - 0*b for b. 3 Suppose -x + 2 = -0*x. Let t be (x/(-6))/(3/(-18)). Suppose 5*b - t*b - 17 = -f, f + b = 7. Solve 0 = f*g - 5 + 1 for g. 2 Let w = 57 + -72. Let v = 15 + w. Solve v = -3*x - 0*x - 12 for x. -4 Suppose -p + 21 = -3*h, 5*p - 4*h = 10*p - 48. Solve 3*o - 9*o - p = 0 for o. -2 Let l = 1591 + -1584. Solve -28 + 21 = l*h for h. -1 Suppose -223 = -4*y - 3*o - 179, -4*y + 3*o + 68 = 0. Solve 0 = -10*w + y*w - 8 for w. 2 Suppose -2*p - 31 + 39 = 0. Solve 5 + 7 = -p*g for g. -3 Let p(d) be the third derivative of 1/120*d**6 + 4*d**3 - 3/20*d**5 - 1/2*d**4 + 3*d**2 + 0*d + 0. Let a be p(10). Solve -a = y + y for y. -2 Let a(w) = -w**2 - 2*w - 1. Let d be a(-1). Let q be (30 - 29)*(-11 + 27). Solve -q = -d*o - 4*o for o. 4 Let x be 15/(-10)*(-4)/(-3). Let y be 12/(-8)*x - -14. Suppose r = -3*f - 11, -2*f - y = -7. Solve 5*p = r*p - 5 for p. -5 Let y(t) be the second derivative of t**4/12 + 13*t**3/6 + 27*t**2/2 + 7*t. Let f be y(-11). Solve -f*o + 2 = 27 for o. -5 Let l = -11 + -4. Let p(g) = -g**2 - 15*g + 3. Let v be p(l). Let j = 9 + -5. Solve -v*h - j = 5 for h. -3 Let s = -1523 + 1576. Solve 15*d = -128 + s for d. -5 Suppose 3*u + 6 = -6. Let p(a) = -7*a - 14. Let t be p(u). Let d = -8 + t. Solve -3*v + 9 = -d for v. 5 Suppose 17 = 24*g - 7. Solve -5*k = -4*k - g for k. 1 Let c = 10 + -58. Let x = -45 - c. Solve -x*t = -4*t for t. 0 Let u(g) = -2 - g**2 + 6 - g**3 - 5*g**2 + 7*g. Suppose -m - 9 = -2*s, 14*s - 19*s + 19 = -2*m. Let v be u(m). Solve -15 = -v*l + 5 for l. 5 Let f = 22 - 17. Solve -f*h - 11 = -6 for h. -1 Suppose -x + 3 = -4. Le
{ "pile_set_name": "DM Mathematics" }
*f = 3*t + 15. Suppose -w = -2*p, 0*w - 4*p - 20 = -t*w. Solve -w = l - 3*s, 3*l + s - 14 + 4 = 0 for l. 2 Let n = -7 + 10. Solve 2*x - x - j = -n, -4*x - 26 = 3*j for x. -5 Suppose -o + 5*f + 0*f = -9, -2*o + 5 = 3*f. Suppose -4*v = 5*u + 12, 2*v + 48 = o*u + 16. Let l = -4 - v. Solve -d + 17 = 5*a, -4*a - l*d = -2*a + 4 for a. 4 Let u(a) = -a**3 - 3*a + 2. Let l be u(0). Solve g = c, -c + l*g + 12 = -2*c for c. -4 Let h = -28 - -28. Solve 4*z - 20 - 2 = -5*f, -3*f - 5*z + 21 = h for f. 2 Suppose -l = -p - 5, -4*l - p = l - 25. Suppose -2*i + 4 = -4*y - 0, 4*y + l*i - 24 = 0. Let z be 70/15 - (-4)/(-6). Solve v - 2*h - z + y = 0, 0 = h for v. 3 Let j be (-156)/(-24) - 3/2. Solve -j*d + 5 = 0, 1 = i + 5*d - 0 for i. -4 Let r be 1 + (-4 + 3)*1 + 0. Solve r = 4*i + 3*b + 18, 0 = -i + 3*b + 4 - 1 for i. -3 Suppose 0 = -5*y - 3*a + a - 116, a - 63 = 3*y. Let s be (-9)/(18/20) + -4. Let m = s - y. Solve -3 = 4*h - h - 2*f, 5*h + f = m for h. 1 Let v = 5 + -11. Let h(y) = 1 - 2*y - 7 + y. Let p be h(v). Solve p = m + j + 2, -j - 2 = 2*m + 5 for m. -5 Suppose -19*k = -21*k + 4. Solve -k*j + t = -6*j - 10, -2*j = t + 4 for j. -3 Let s be ((-1)/1 - -1) + -6. Let t be -1 - (2 - (-1 - -6)). Let n be (-20)/s*15/t. Solve 4*j + 25 = m - 2*m, 0 = -5*m - n for j. -5 Suppose 1 = -4*u - 5*x + 34, 2*u + 5*x = 29. Solve -4*n - u = -a + 1, -5*a - 3*n = 31 for a. -5 Let n be 1*15/9*3. Solve -n*l + 25 = 0, 2*s + 3*l - 2*l = 7 for s. 1 Let m(d) = -d - 11. Let g be m(-15). Solve 3*q = -0*b + 3*b - 3, 0 = 5*q + g*b - 22 for q. 2 Suppose -4*t - 309 = -837. Suppose t = 4*d + 48. Solve c = 3*u - 8*u - d, -3*u - 11 = c for c. 4 Let l be 2 + 3 + 3/(-1). Suppose s - 28 = -2*s + 4*c, 4 = -l*s - 3*c. Solve 5*d = -25, 5*d = -s*u + 7*u - 37 for u. 4 Let i(a) = -12 + 9*a - 13*a - a**2 - 6*a. Suppose -3*v + 4*v = -5*o - 45, -5*v = 5*o + 65. Let p be i(o). Solve -2*u = p*h, 5*h - 2*h = -3*u - 3 for u. -2 Suppose -4*d + 45 = 33. Suppose -a - 1 = -3*i - 0, 0 = -4*a + 3*i + 5. Solve -a*g + 15 = -3*b, 2*b - d*g = -5*g for b. -3 Let m = 7 - 5. Solve 4*t + s + 1 = 0, m*t - s = -1 - 4 for t. -1 Let u(y) = 2*y - 2. Suppose 0*a = a - 2. Let b(i) = i - 3. Let n(f) = a*u(f) - 3*b(f). Let j be n(-5). Solve 4*x + 3*c = -6, j = -5*x - c - 1 - 1 for x. 0 Let a be ((-60)/21)/(10/(-35)). Solve u - 4*z - 1 = -z, 4*u + 2*z + a = 0 for u. -2 Suppose -2*h = 2*h - 8. Suppose -5*d + h*j + 22 = 3*j, 0 = 2*j + 6. Let y be (-2 - 2)*(-1)/2. Solve -7 - 10 = d*s - y*u, -4*s - u = 11 for s. -3 Let r = -3 - 3. Let x(u) = u**2 + 5*u - 1. Let p be x(r). Suppose k = -2*g - g - 2, k - 8 = 2*g. Solve -n = b + p, 4*n + 25 = -k*b - b for n. 0 Suppose -3*o + 14 = 2*w, -o = 4*w - 31 + 3. Let b be 4/8*-8 + w. Solve j + j = -b*m - 3, -6 = 2*j + 4*m for j. 3 Let c be 1/(-2) + 1/(-2). Let w(j) = -3*j**3 - j**2 - j - 1. Let b be w(c). Solve -3*o = -b*o - 4*k + 13, -2*o = -4*k + 14 for o. -1 Suppose 0 = 2*s + 3*q + 12, 2*s = -0*q + 2*q + 8. Solve -4*y + 12 = s, 4*g - 5*y = g - 30 for g. -5 Let b(r) = -r**3 - r**2 + 6. Let f be (1 - (-1)/1) + -2. Let p be b(f). Let i be 2 - 2/p*0. Solve -5*l + 25 = 0, -2*q = i*l - 4 - 0 for q. -3 Let l = -6 + 21. Let h be 1/3 - (-40)/l. Solve -4*k - j - j = 10, -h*j + 10 = k for k. -5 Let u(c) be the second derivative of -c**3/6 + 7*c**2/2 - 6*c. Let d be u(0). Solve -5*i + 4*a - 2 = -17, 2*a + d = 3*i for i. -1 Suppose 60 = 3*t + 2*t. Solve -2*h + 2*s = -h - 9, 2*s + t = 4*h for h. 1 Let k = 30 - 19. Solve 3 = m + 8, 0 = -u + 2*m + k for u. 1 Suppose -3*r = 2*f - 12, 2*f = -2*f + 12. Suppose 2*t + r*o + 2 = t, 2*t - 2*o = 20. Let m = t - 3. Solve -b + m*w + 17 = 0, b + 4*w + 10 = -1 for b. 5 Let r(t) be the third derivative of -t**4/24 - 4*t**3/3 + 4*t**2. Let d be r(-10). Solve o + 3*b + 15 = 0, -2*b - 3 - d = -o for o. -3 Let j be (-4)/(-18) + (-4)/18. Solve 3*l - o = -8, j*l = -2*l - 5*o + 6 for l. -2 Suppose 5*h = -0*h + 55. Let k = -8 + h. Solve j = k*p + 10 - 2, -4*j - 5*p - 2 = 0 for j. 2 Let b be 12/((-10)/(-5))*(-2)/(-4). Let i(g) = g**3 - 4*g**2 + 2*g - 6. Let x be i(4). Solve 2*h = x*m + 4, b*h - 5*h = -4*m - 2 for h. 3 Suppose 2*r - 4*r + 2*b = -14, 2*r = -2*b - 6. Solve 2*v + 4*c - 7 = -v, -5*v + 3*c + r = 0 for v. 1 Let u = 2 - 0. Let v be u/3 - 26/(-6). Solve -v*s = -4*b + 20, 0*s - 3*s = -2*b + 10 for s. 0 Let y(x) = -x**3 + 9*x**2 + 8. Let a be y(9). Let b(f) = -f**3 + 9*f**2 - 7*f - 8. Let g be b(a). Solve g = 4*u - 12, 4 = 6*j - 5*j + 2*u for j. -2 Suppose -5*s + 9 = -1. Suppose -3*q - s*q + 10 = 0. Solve -3*o + 23 = -8*o - q*w, 3*o + 1 = 2*w for o. -3 Suppose 5*d - 5*v = 55, 4*v = 3*d - 0*d - 38. Solve -3*k + i - d = -0*k, 5*k - 2*i + 9 = 0 for k. -3 Let i(p) = p + 2. Let b be i(4). Suppose 3*c + 10 = -5*d, -2*c + 2*d = -d - b. Solve 5*j - 5*g = 6 + 14, -j - 4*g - 16 = c for j. 0 Suppose 0 = -5*l + 4*o + 37, -l + o = -o - 11. Suppose -p + 4*r = p - 14, 3*p - 20 = 5*r. Solve p*s - l*g + g = 26, 2*s - 2*g = 12 for s. 2 Let m be 90/(-12)*4/(-2). Solve 2*c + 2*c - 4*j = 0, 0 = -4*c - j + m for c. 3 Suppose 4*d - 2*d - 4 = 0. Solve -t - d*l = 3*t - 8, 5*t - l - 17 = 0 for t. 3 Let m = -49 - -54. Solve 0 = 4*j - m*a - 32, 0 = -2*j - 2*a + a + 2 for j. 3 Let h(z) = 2*z. Let r be h(2). Solve -4*g - 3*n = n + r, 0 = -n + 3 for g. -4 Let w be (-6)/10 - (-8)/5. Let y(f) = 6*f**3 - f. Let q be y(w). Solve k = 5*n + 13, -k = -q*n + 3*k - 7 for n. -3 Suppose 0 = -4*i - 3*o + 30, 3*i - 22 = -0*i - 2*o. Solve 0 = 3*r - 5*z + 17, 0 = 5*r + 2*z - i*z + 24 for r. -4 Suppose 3*i + 15 = -3. Let k be (15/(-10))/(i/8). Solve -4*r = -3*u - 11, -k*u + 3*u = -4*r + 23 for r. 5 Let j be 6/39 - (-160)/(-26). Let y be j/(-21) - 4/14. Solve -4*l - 2*x + 2 = y, -8 - 8 = 4*l - 4*x for l. -1 Suppose 22 = 5*p - 3. Suppose -8 = -5*z + 3*z. Solve -3*j - 5*u - p = -0, z*j = -5*u for j. 5 Let p(j) = -j**3 - 6*j**2 + 16*j + 2. Let f be p(-8). Solve y + m = -y - 5, f*m = -6 for y. -1 Let r = 23 + -21. Let t be 8*((-7)/r)/(-7). Solve 0 = d - 5*g - 22, 5*d + t*g + g = -10 for d. 2 Suppose 2*c - 2*s - 4 = 6, 5*c = -2*s + 11. Solve -6 = 2*h + h - c*q, -2*h + 2 = q for h. 0 Let m(l) = -l**3 - 4*l**2 + 3*l - 6. Suppose 2*o = p + 5, -20 = 4*p - 0*p - o. Let y be m(p). Solve y*k - x = 6, 6 - 2 = -2*k - 3*x for k. 1 Suppose -5*d + 23 = 8. Suppose -4*z - 12 = -m - 0, 5*z + 26 = 4*m. Let j be (-32)/z - 1*d. Solve -4*x = 2*a + 20, 4*x + 5*a + 39 = j for x. -4 Suppose 2*m = 4*i - 10, 3*i - 4 = 5*m - 14. Solve -5*h - 5*u - 2 = -12, -m*u = 4*h - 6 for h. 4 Suppose 4*i - 3*g - 6 = 0, 5*i - 2 = i + g. Let h be (7/(-2) - -3)*i. Solve r - 1 = 0, h*y - 2*r = y for y. -2 Suppose -30 = -4*v + 6. Solve -5*g + v + 9 = -4*k, -2 = -3*g - 2*k for g. 2 Let i(t) = -6*t - 2. Let y be i(-1). Solve -2*c = -5*l - 28, -y*c - 3*l = -6*l - 28 for c. 4 Suppose 3*g - 11 - 1 = 0. Solve -b + 5*c = 3*b + 25, g*c - 29 = 5*b for b. -5 Suppose -32 = -5*h - 0*n - 4*n, -38 = -5*h - n. Let k be (12 - h)/((-4)/(-6)). Solve -x = -3*y + k, -x - 3*y = -4*y for x. 3 Let k(s) = 10*s**2 - 2*s + 1. Let y be k(1). Let l = y + -5. Suppose 0*z = -2*z + l. Solve -4*w + 4*u = 8, 4*w + 5*u - z = w for w. -1 Let i be 2 + 1/(4/8). Let s = 0 + i. Solve s*w - 3*m - 6 = 0, m = -3*w - 0 - 2 for w. 0 Suppose 0 = n - 2*h - 20, -2*n = -8*h + 3*h - 40. Suppose 0 = z - 2, 5*z = -6*c + 5*c + n. Solve -4*u - 32 = -3*s - c, 2*u + 8 = 0 for s. 2 Let j = 55 + -37. Solve 2*x = 5*r + j, -6*x + 2*r = -2*x - 20 for x. 4 Suppose 2*w - 20 = -8*w. Suppose -3*h + 21 = 3*k - 6, k - 5 = 0. Solve -h*t - 3*r = 31, -w*r = -4*t - 4*r - 26 for t. -4 Let i(j) = j - 3. Let t be 0 - 12/(-9)*-12. Let x = 22 + t. Let w be i(x). Solve 0 = 4*l + 3*y + 14, -5*y = w*l - 2*y + 12 for l. -2 Let c = -35 + 39. Solve 0 = c*m + 5*t + 49 - 9, m - 2*t = 3 for m. -5 Suppose 5*o = 5*s - 70, o - 1 = -0. Let t(a) = -a + 3. Let l be t(0). Suppose 0*p + 15 = l*p. Solve s = -2*z + 7*z + p*w, -3*w + 11 = 2*z for z. -2 Let j be -4 + (-1 - -1) + 4. Solve l + j = 5, -12 = -q - 3*l for q. -3 Suppose 4*a = -16 + 80. Solve 4*f - a = 4*z, -5*z = f - 4 - 6 for f. 5 Let v be (-19)/1*(0 + -2). Let d = -27 + v. Suppose 0 = -g - 4*r - 10 - 6, -r - 4 = -2*g. Solve 5*c + 3*w - 37 = g, -c - d = -2*w - 2*w for c. 5 Let u(z) be the third derivative of z**4/24 - 6*z**2. Let l be u(2). Solve -4 = -l*j + 3*o, -12 = -3*j + o + 1 for j. 5 Suppo
{ "pile_set_name": "DM Mathematics" }
f 200 and 80. 400 What is the least common multiple of 200 and 128? 3200 Calculate the common denominator of 67/210 and -3/5. 210 Find the common denominator of -101/276 and -149/18. 828 What is the least common multiple of 96 and 4560? 9120 What is the smallest common multiple of 1251 and 2919? 8757 Calculate the common denominator of -127/2664 and 113/96. 10656 What is the common denominator of 33/2654 and 97/8? 10616 Calculate the lowest common multiple of 105 and 7. 105 What is the least common multiple of 55 and 100? 1100 Calculate the lowest common multiple of 42 and 936. 6552 What is the smallest common multiple of 2394 and 2394? 2394 Calculate the lowest common multiple of 702 and 1326. 11934 Find the common denominator of -85/242 and -95/1518. 16698 Calculate the smallest common multiple of 31 and 155. 155 What is the common denominator of 119/18 and 89/22388? 201492 Calculate the lowest common multiple of 9 and 72. 72 What is the least common multiple of 1551 and 55? 7755 What is the common denominator of 61/20 and -1/172? 860 Find the common denominator of 109/130 and -55/104. 520 Calculate the common denominator of -81/14 and 19/14. 14 What is the least common multiple of 2 and 13? 26 Calculate the smallest common multiple of 1 and 3129. 3129 Calculate the lowest common multiple of 22 and 54. 594 Calculate the least common multiple of 6 and 4. 12 Find the common denominator of 31/119 and -59/34. 238 Calculate the smallest common multiple of 2530 and 5060. 5060 What is the common denominator of -17/3669 and 26/9? 11007 Calculate the smallest common multiple of 21 and 6. 42 Find the common denominator of -17/27 and -73/147. 1323 Calculate the smallest common multiple of 525 and 275. 5775 Find the common denominator of 51/14 and -29/308. 308 Find the common denominator of 103/248 and 29/44. 2728 What is the lowest common multiple of 938 and 2? 938 Calculate the common denominator of 20/159 and -97/210. 11130 Calculate the least common multiple of 20 and 2834. 28340 What is the common denominator of -79/506 and 95/1242? 13662 Find the common denominator of 173/168 and -125/36. 504 Calculate the smallest common multiple of 27 and 144. 432 Calculate the least common multiple of 63 and 133. 1197 What is the smallest common multiple of 11 and 662? 7282 Find the common denominator of -15/22 and -121/12. 132 Find the common denominator of -71/20 and -65/4. 20 Find the common denominator of -47/80 and 107/20. 80 What is the common denominator of -187/150 and -89/75? 150 Calculate the common denominator of -7/81 and 43/81. 81 Calculate the common denominator of -103/5124 and -157/5124. 5124 Find the common denominator of -157/180 and -11/200. 1800 Calculate the least common multiple of 4123 and 1302. 24738 What is the least common multiple of 284 and 781? 3124 Calculate the common denominator of -69/52 and 27/2. 52 Calculate the common denominator of -127/60 and 79/90. 180 Find the common denominator of -58/1293 and -32/81. 34911 Find the common denominator of -68/429 and 83/1188. 15444 What is the lowest common multiple of 403 and 2325? 30225 What is the common denominator of -45/4 and -31/58? 116 What is the common denominator of -92/105 and 79/57? 1995 What is the common denominator of -53/177 and 31/27? 1593 Find the common denominator of 59/8 and -43/132. 264 What is the common denominator of 67/1354 and 1/2? 1354 Calculate the least common multiple of 192 and 834. 26688 Calculate the common denominator of 41/27 and 143/90. 270 What is the smallest common multiple of 48 and 24? 48 What is the common denominator of -39/6128 and 9/28? 42896 Calculate the least common multiple of 4935 and 8460. 59220 Calculate the least common multiple of 504 and 68. 8568 What is the common denominator of -23/608 and 39/820? 124640 Calculate the lowest common multiple of 45 and 630. 630 Calculate the common denominator of -29/356 and -113/18. 3204 What is the least common multiple of 90 and 81? 810 Calculate the least common multiple of 80 and 200. 400 Find the common denominator of 34/7 and -26/2967. 20769 What is the common denominator of 7/190 and 9/5? 190 Calculate the common denominator of 79/562 and 53/36. 10116 Calculate the common denominator of -85/144 and -89/3468. 41616 Calculate the smallest common multiple of 145 and 145. 145 What is the least common multiple of 30 and 140? 420 Calculate the lowest common multiple of 6 and 15. 30 Find the common denominator of 9/4 and -49/1751. 7004 Calculate the least common multiple of 12 and 2684. 8052 What is the common denominator of 9/64 and 89/1552? 6208 What is the common denominator of 5/1042 and -65/4168? 4168 Calculate the smallest common multiple of 44 and 5788. 63668 What is the smallest common multiple of 14329 and 230? 143290 Calculate the least common multiple of 294 and 7. 294 Calculate the least common multiple of 2550 and 765. 7650 What is the smallest common multiple of 110 and 70? 770 Find the common denominator of 23/4008 and -83/52. 52104 Calculate the least common multiple of 3 and 178. 534 What is the lowest common multiple of 19 and 7? 133 Calculate the smallest common multiple of 3 and 45. 45 Calculate the common denominator of -41/1068 and -85/48. 4272 Calculate the least common multiple of 152 and 38. 152 What is the smallest common multiple of 605 and 3795? 41745 Calculate the least common multiple of 1128 and 102. 19176 Calculate the least common multiple of 640 and 240. 1920 Calculate the common denominator of -42 and -57/376. 376 Calculate the common denominator of 34/23 and -35/12. 276 Calculate the common denominator of 13/268 and -77/12. 804 Calculate the least common multiple of 352 and 224. 2464 What is the lowest common multiple of 21 and 84? 84 Find the common denominator of -91/22 and 11/1900. 20900 Calculate the lowest common multiple of 39 and 9. 117 What is the common denominator of 89/100 and 41/680? 3400 What is the lowest common multiple of 1422 and 474? 1422 Calculate the lowest common multiple of 14 and 1828. 12796 Calculate the common denominator of -139/360 and -59/36. 360 Calculate the common denominator of 89/522 and -121/696. 2088 Calculate the common denominator of -27/14 and -83/38. 266 What is the common denominator of 23/585 and -37/9? 585 What is the least common multiple of 392 and 32? 1568 Calculate the lowest common multiple of 104 and 364. 728 Calculate the lowest common multiple of 144 and 18. 144 Calculate the least common multiple of 8 and 112. 112 Calculate the common denominator of 24/133 and 17/49. 931 Calculate the least common multiple of 78 and 12. 156 What is the smallest common multiple of 12 and 465? 1860 Calculate the smallest common multiple of 4 and 9. 36 Calculate the smallest common multiple of 121 and 5. 605 What is the least common multiple of 5490 and 5490? 5490 Calculate the least common multiple of 156 and 33. 1716 What is the lowest common multiple of 117 and 143? 1287 Calculate the least common multiple of 2688 and 24. 2688 What is the lowest common multiple of 8 and 510? 2040 What is the common denominator of -7/178 and -167/60? 5340 Calculate the least common multiple of 7 and 232. 1624 Calculate the lowest common multiple of 120 and 10. 120 What is the least common multiple of 3744 and 30? 18720 Calculate the common denominator of -1/66 and -49/69. 1518 Calculate the common denominator of 17/3300 and -1/990. 9900 What is the lowest common multiple of 477 and 371? 3339 What is the common denominator of 187/30 and 139/198? 990 What is the common denominator of 44/571 and -7/10? 5710 What is the lowest common multiple of 8 and 168? 168 Calculate the lowest common multiple of 96 and 96. 96 What is the least common multiple of 612 and 3? 612 Find the common denominator of -51/4 and -69/22. 44 What is the common denominator of -85/36 and 87/112? 1008 What is the smallest common multiple of 2252 and 22? 24772 Calculate the smallest common multiple of 8 and 59. 472 What is the least common multiple of 23 and 276? 276 Find the common denominator of -32/11 and -37/21. 231 What is the least common multiple of 56 and 2450? 9800 Calculate the smallest common multiple of 18 and 22. 198 Find the common denominator of -47/155 and 9/19
{ "pile_set_name": "DM Mathematics" }
f) = 25*g(f) + m(f). Let q(i) = 0. Calculate i. -42, 3 Let y be (796/(-80) + 10)*24. Let d = -2442/5 - -490. Factor y*m**3 + 0 - 2/5*m**2 + 0*m + d*m**4. 2*m**2*(m + 1)*(4*m - 1)/5 Suppose 12 = -3*r + 2*i, -i + 208 - 195 = 2*r. What is s in 1/2*s**r + 1/6*s - 1/2 - 1/6*s**3 = 0? -1, 1, 3 Determine u so that -2/7*u**2 + 0 - 20/7*u = 0. -10, 0 Let f be ((8 - 2) + (-316)/54)*(-54)/(-12). Let t(h) be the first derivative of 1/9*h**6 + 8/15*h**5 + 0*h**2 + 0*h + 0*h**3 + 19 + f*h**4. Factor t(v). 2*v**3*(v + 2)**2/3 Let a(c) = c**2 - 26*c + 105. Let l be a(21). Factor -8*n - 4*n - 11*n**2 - 7*n + l*n + 2*n - 6. -(n + 1)*(11*n + 6) Let o(u) be the third derivative of 11*u**5/12 + 25*u**4/24 - 5*u**3 - 35*u**2 + 4*u. Suppose o(i) = 0. Calculate i. -1, 6/11 Suppose -f + 16 = 4*z, -z + 2*f - 11 = -2*z. Let r(i) be the first derivative of 2 - 3/5*i**2 - 1/5*i**z - 3/5*i. Factor r(g). -3*(g + 1)**2/5 Let b(u) = u**4 - u**3 + u - 1. Let w(m) = -8 - 6*m**2 - 6*m**4 - 6*m - 6 + 36 + 5*m**3 + m**3 - 10. Let g(a) = -8*b(a) - w(a). Suppose g(d) = 0. Calculate d. -1, 1, 2 Let v = -4785 - -4787. Let x(k) be the first derivative of 0*k - 1/2*k**v + 5/6*k**3 - 3/8*k**4 - 10 - 1/10*k**5 + 1/12*k**6. Factor x(n). n*(n - 1)**3*(n + 2)/2 Factor -47524/9 - 1/9*y**2 - 436/9*y. -(y + 218)**2/9 Solve -1/7*k**3 - 296/7*k + 468/7 + 33/7*k**2 = 0 for k. 2, 13, 18 Let l(q) be the first derivative of -13/24*q**3 - 56 - 1/40*q**5 - 1/2*q - 3/16*q**4 - 3/4*q**2. Factor l(i). -(i + 1)**2*(i + 2)**2/8 Let k(v) be the first derivative of 18*v**5/35 - 57*v**4/14 + 248*v**3/21 - 108*v**2/7 + 64*v/7 - 1593. Solve k(q) = 0. 2/3, 1, 2, 8/3 Let o(y) = -y**3 - 94*y**2 - 725*y - 1748. Let k(q) = q**3 + 101*q**2 + 725*q + 1747. Let p(i) = -2*k(i) - 3*o(i). Factor p(m). (m + 5)**2*(m + 70) Let b(l) = 195*l**2 - 16415*l - 502170. Let a(x) = 7*x**2 - 608*x - 18599. Let w(v) = 55*a(v) - 2*b(v). Solve w(z) = 0 for z. -61 Let i(d) be the third derivative of -4*d**7/1155 - 3*d**6/220 + 79*d**5/165 - 18*d**4/11 - 64*d**3/33 - 987*d**2 - 2. Determine y so that i(y) = 0. -8, -1/4, 2, 4 Let o be (-90)/((-17)/((-1496)/(-33))). Suppose 256 - o = 8*q. Factor 0 - 4/5*y**q - 16/5*y. -4*y*(y + 4)/5 Let t(h) be the first derivative of 166 + 0*h**2 + 0*h - 4/3*h**3 - 1/6*h**4 + 2/15*h**5. Solve t(l) = 0 for l. -2, 0, 3 Suppose -14*m - 51/2*m**2 + 0 - 7*m**4 - 3/4*m**5 + 189/4*m**3 = 0. Calculate m. -14, -1/3, 0, 1, 4 Let l(j) be the first derivative of 2/27*j**3 - 16/9*j**2 + 40 + 40/9*j + 1/18*j**4. Let l(v) = 0. What is v? -5, 2 Let m(y) = y**3 + 6*y**2 + 104. Let s be m(0). Let 17*c**3 - 14*c**2 + 40 - s*c + 19*c**3 - 66*c**3 + 24*c**3 + 84*c**2 = 0. Calculate c. 2/3, 1, 10 Let i = -5/1134 - 11035/69174. Let a = i - -223/244. Find w, given that 0*w + a - 3/4*w**2 = 0. -1, 1 Determine i, given that -104/5*i + 10*i**3 + 8*i**2 + 32/5 = 0. -2, 2/5, 4/5 Let v(j) be the first derivative of 5*j**3/12 + 1883*j**2/8 - 377*j/2 - 1092. Solve v(g) = 0. -377, 2/5 Let d be ((-1)/(-3))/(2/26). Let o = -7447 - -22355/3. Determine y, given that -o*y - d - 1/3*y**2 = 0. -13, -1 Let a(x) be the second derivative of x**5/20 + 31*x**4/12 + 68*x**3/3 + 78*x**2 + 176*x - 3. Factor a(i). (i + 2)*(i + 3)*(i + 26) Suppose -106 + 26 - 15*d**2 - 112 - 9*d + 450*d + 45*d = 0. What is d? 2/5, 32 Let i(c) be the second derivative of 0*c**2 - 29*c - 5/18*c**3 + 0 + 1/36*c**4. Suppose i(x) = 0. What is x? 0, 5 Let b be (-6)/(-81) - 15402/(-12231). Factor 4/3 + 1/3*g**2 + b*g. (g + 2)**2/3 Let p(o) = 7*o**3 - o. Suppose z - 1 = -0. Let d be p(z). Solve 0 - 3*a + d + a - 2*a**2 + 6*a = 0 for a. -1, 3 Let o be 4/10 + ((-78)/(-10))/3. Suppose o*s = 7*s - 16. Determine z, given that s*z**4 - z + 60*z**2 + 26*z + 28*z**3 + 11*z = 0. -3, -1, 0 Factor -224*a + 114198 + 29664*a + 78941 - 720*a**2 - 51473 + 124574 - 5*a**4 - 175*a**3. -5*(a - 13)*(a + 16)**3 Let g(u) be the first derivative of -99 + 1/7*u**4 + 12/7*u**2 - 20/21*u**3 + 0*u. Factor g(t). 4*t*(t - 3)*(t - 2)/7 Let f(g) = 29*g**3 - 9*g**2 - 60*g + 49. Let b(l) = 9*l - 7*l**3 - 2*l + 8*l + 0*l**3 + 2*l**2 - 12. Let s(z) = -9*b(z) - 2*f(z). Factor s(k). 5*(k - 1)**2*(k + 2) Let r = -5403 - -108061/20. Let v(b) be the second derivative of -9/50*b**5 - r*b**4 - 24/5*b**2 + 12/5*b**3 + 0 - 26*b - 1/50*b**6. Factor v(h). -3*(h - 1)**2*(h + 4)**2/5 Find n, given that 2/9*n**5 + 0 - 10*n**4 + 0*n - 32*n**3 + 0*n**2 = 0. -3, 0, 48 Factor -5/7*g**2 + 8/7*g + 1/7*g**3 - 4/7. (g - 2)**2*(g - 1)/7 Let v be 6 - ((-790)/(-40) + -14). Let k(c) be the first derivative of -v*c**4 + 1/5*c**5 - 9 + 1/6*c**6 - 1/3*c**3 + 0*c**2 + 0*c. Factor k(p). p**2*(p - 1)*(p + 1)**2 Let s be 8 + 13/((-781950)/481203). Let r = s + 7699217/340850. Determine h so that -2/17*h**3 + 1024/17 - r*h + 48/17*h**2 = 0. 8 Let o(m) be the second derivative of -7/48*m**3 - 14 - 2*m + 3/8*m**2 + 0*m**4 + 1/160*m**5. Factor o(a). (a - 2)*(a - 1)*(a + 3)/8 Let r(x) be the second derivative of -7/6*x**6 + 10/21*x**7 + 0*x**2 + 0*x**3 + 28*x + 0 + 0*x**4 - 1/2*x**5. Find j such that r(j) = 0. -1/4, 0, 2 Let k(w) be the second derivative of 5/4*w**5 + 0 + 0*w**2 + 2/3*w**6 + 0*w**3 - w + 5/42*w**7 + 5/6*w**4. Factor k(p). 5*p**2*(p + 1)**2*(p + 2) Let w(x) = -3*x + 6. Let m(j) = j - 4. Let v(z) = -6*m(z) - 3*w(z). Let o be v(-1). Factor 10/9*r**2 - 8/9*r - 2/9*r**o + 0. -2*r*(r - 4)*(r - 1)/9 Let q(l) = 24*l**2 - 26*l - 94. Let n(x) = -2*x**3 - 5*x + 1. Let v(j) = -2*n(j) + q(j). Factor v(h). 4*(h - 2)*(h + 2)*(h + 6) Let b(j) = -36*j**2 + 1601*j + 506. Let k(v) = -10*v**2 + 400*v + 126. Let a(p) = 4*b(p) - 15*k(p). Determine i, given that a(i) = 0. -67, -1/3 Let p(b) be the first derivative of -b**4/12 + 2*b**2 - 20*b - 5. Let h(v) be the first derivative of p(v). Factor h(d). -(d - 2)*(d + 2) Suppose -5*i + 32 = -8. Let u(o) = 2*o**2 + 10*o + 3. Let v(r) = -6*r**2 - 30*r - 8. Let m(k) = i*u(k) + 3*v(k). Let m(d) = 0. What is d? -5, 0 Let f(q) = -16*q**4 + 25*q**2 + 1139*q**3 - 2320*q**3 + 15*q + 1163*q**3 + 3. Let d(m) = 2*m**4 - 2*m**3 - m**2 - m - 1. Let y(s) = 3*d(s) + f(s). Factor y(r). -2*r*(r - 1)*(r + 3)*(5*r + 2) Let q be (-1)/4 - (-8292739)/(-52). Let p = q + 1119248/7. Solve -p - 972/7*n - 108/7*n**2 - 4/7*n**3 = 0 for n. -9 Let q(l) be the second derivative of 1/105*l**7 + 143/25*l**5 + 28/75*l**6 + 0*l**2 + 2 + 135*l**3 + 42*l**4 + 206*l. What is f in q(f) = 0? -9, -5, 0 Suppose -4*h - 4*m = -3*m + 65, -4*m = 20. Let r(d) = d**2 - d + 1. Let x(g) = -12*g**2 - 12*g - 81. Let u(l) = h*r(l) - x(l). Factor u(n). -3*(n - 11)*(n + 2) Let q be 13140/(-2920) + 51/6. Factor -4*c**2 + 0 + 4/5*c**q + 4/5*c**5 - 12/5*c**3 - 8/5*c. 4*c*(c - 2)*(c + 1)**3/5 Let r(s) be the second derivative of -s**7/21 - 2*s**6/3 - 19*s**5/10 + 5*s**4 - 206*s. Let r(b) = 0. What is b? -6, -5, 0, 1 Let b be -16*(-35)/(-840)*-3. Determine v, given that 2/15*v**b - 2/3*v - 28/15 = 0. -2, 7 Suppose -4*j - 2*a - 22 + 4 = 0, -5*j = -4*a + 42. Let k be j - 3/(21/(-56)). Suppose 2/3 - 8/15*m - 2/15*m**k = 0. Calculate m. -5, 1 Suppose 719*t - 721*t + 2*v - 10 = 0, -5 = -v. Let j(c) be the third derivative of 0 - 1/30*c**5 + 21*c**2 + 1/4*c**4 - 2/3*c**3 + t*c. Factor j(u). -2*(u - 2)*(u - 1) Let w(o) be the first derivative of o**8/6720 - o**6/480 - o**5/240 + 2*o**3/3 + 14*o**2 - 42. Let t(q) be the third derivative of w(q). What is c in t(c) = 0? -1, 0, 2 Let i be (-161)/(-21) - (-31 + 37). Let j(r) be the first derivative of 0*r**2 + 7/5*r**5 + 0*r + i*r**3 + 40 - 1/6*r**6 - 11/4*r**4. Factor j(g). -g**2*(g - 5)*(g - 1)**2 Let u = -40147/19236 - -6/1603. Let q = -11/36 - u. Factor -8/9*k**2 + 0*k - 2/9*k**5 - 10/9*k**4 + 0 - q*k**3. -2*k**2*(k + 1)*(k + 2)**2/9 Let s(b) = -231*b + 402. Let t be s(10). Let y be 2/(-3) - t/432. Solve 0 - y*v**2 + 5/2*v + 0*v**3 + 5/4*v**4 = 0 for v. -2, 0, 1 Suppose 0 = 4*o + 5*z - 4 - 24, 0 = o - z + 2. Let b(c) be the third derivative of 1/15*c**4 + 1/150*c**6 + 0*c + 0*c**3 - 1/25*c**5 + 0 - 10*c**o. Factor b(n). 4*n*(n - 2)*(n - 1)/5 Let j be (-354)/13216 + (-20)/(-64). Determine s so that 0*s - j*s**3 + 0 + 4/7*s**2 = 0. 0, 2 Factor 25/6*b**2 + 5/3 - 9/2*b + 1/6*b**4 - 3/2*b**3. (b - 5)*(b - 2)*(b - 1)**2/6 Let m(b) be the third derivative of b**6/30 - 78*b**5/5 + 923*b**4/6 - 460*b**3 + 11127*b**2. Let m(r) = 0. Wh
{ "pile_set_name": "DM Mathematics" }
2*p - 4, -7 = -3*w + i*p for w. 1 Let x be (-1)/((33/(-22))/(0 - -18)). Suppose -5*h = -2*h - x. Suppose -l = r + h - 7, 5*l + 5 = 0. Solve -4*g = -5*p + 6, -p = -5*p + r*g + 4 for p. 2 Let b = 32 - 29. Suppose -37 - 66 = -b*x - 2*q, -5 = 5*q. Suppose 2*u - 4*u + 6 = 0, 0 = 5*k + 5*u - x. Solve -2*j - 3*c + c - 2 = 0, 0 = c - k for j. -5 Let f(s) = -3*s + 61. Let m be f(21). Let n be (-264)/330*5/m. Solve -2*b - 7 = -n*k + 3, -b - 2*k + 4 = 0 for b. -2 Let g = -64 + -12. Let q = 78 + g. Solve -q - 8 = 4*w + 2*s, -w + 2*s = 0 for w. -2 Let b(y) = -44*y - 655. Let w be b(-15). Solve 0 = 4*z - 2*d - 6 - 20, 0 = -d - w for z. 4 Let p be 6132/(-3577)*21/(-2). Solve -2*c + p = 2*f, -13 + 36 = 2*c + 3*f for c. 4 Let p(f) = -12*f**2 - 94*f + 3. Let l be p(-10). Let o = l + 262. Solve -y = 3*d - 2*y - 4, -o*d + 5*y = 0 for d. 2 Suppose 4*m + 18254 = 18274. Solve -a = -2*b - m*a - 14, -4*b + 3*a + 16 = 0 for b. 1 Suppose -35 = -7*r + 14. Let n be 2 - r/(-14)*6. Solve 0 = -3*o - 5*b - 22, -n*b - 11 = 2*o + 12 for o. 1 Suppose -578 = 2*y - 34. Let x be (1 - (-1)/3)*(-612)/y. Solve -2*c + 5*c + 12 = 0, x*g = 5*c + 35 for g. 5 Let q(n) = 7*n**2 - 3. Let d be q(2). Suppose -6*h + 4*j = -3*h - d, -j - 4 = 0. Solve s - 8 = 2*w, w + 4 = -h*s - 0*w for s. 0 Let o(d) = d - 7. Let y be o(7). Suppose 9*f - 13*f - 24 = y. Let s(l) = 2*l + 19. Let j be s(f). Solve 3*p - 14 = 2*z, -5*p - j = -2*z - 29 for p. 4 Suppose -4*t + 2 = -5*x, 0 = -t + 20*x - 18*x - 1. Solve 0 = -3*z + h + 18, 9*z - 12*z = 4*h - t for z. 5 Let x = -539 - -553. Suppose 190 = 24*l + x*l. Solve 0 = -l*p, -3*r + 0*p + 2*p = -6 for r. 2 Let v be (20/8 + -3)*-32. Let m = 16 - v. Suppose m = -3*s - a + 46, 5*a = -2*s + 6 + 16. Solve 0 = -3*r + 5*w - 34, 2*r = w + w - s for r. -3 Suppose 0 = -2*i + z - 1, 30*z - 28*z - 6 = 0. Solve -p + 24 - 15 = -3*v, 0 = -4*v + 5*p - i for v. -4 Let v be (-2)/14 + (-12)/14. Let r be (v - (6 + -7)) + 1*4. Solve 4*w - 10 = 2*c, -r - 10 = -4*w - 2*c for w. 3 Let c be 5/(-1) - (59 + 4)/(-9). Let l(s) = 23*s + 24. Let x be l(-1). Solve 0 = -c*a + 4*o + 3 - 1, -a + x = 2*o for a. 1 Suppose 15 = r - 4*v, 75 = 5*r + 18*v - 14*v. Solve -i + 5*k = 3*i - r, 0 = i + 5*k + 15 for i. 0 Let g(a) = -a**3 - 67*a**2 - 473*a - 59. Let s be g(-59). Solve 0 = -36*v + 40*v + 16, -j - v - 3 = s for j. 1 Let s(l) = -l**2 - 31*l - 30. Let b be s(-30). Suppose -60*y = -72*y + 84. Solve k + y = -3*m, b*m - m - 3 = 0 for k. 2 Suppose -50*c = -47*c - 27. Suppose 9*b - 195 = 4*b. Let q be (3/c)/(1/b). Solve 2*n - 4*x = 18, 5*n - 5*x - 7 - q = 0 for n. -1 Let l be 12/54 - (-284)/18. Suppose 3*k - 2*v - 14 = 0, 2*k - 4*v - l = -k. Solve 3*d - 2*s = 3, k*d - 2 + 0 = 2*s for d. -1 Suppose t = -0*t. Suppose 73 = 30*f - 77. Let s(u) = -u**2 + 9*u - 18. Let l be s(f). Solve 0 = 2*b - t*b, l*b = 3*o - 12 for o. 4 Suppose 0 = 2*n + 4*z + 488, -7*n + 11*n - z = -985. Let k be 38/5 + 1 + n/410. Solve 2*h + 3 = -q + k, -q = 4*h - 11 for h. 3 Let t(z) = -29*z - 167. Let j be t(15). Let x = 604 + j. Solve -x*o - 3*o + 35 = 2*a, 0 = -2*o + 10 for a. 5 Suppose -7*g + 22 = 3*b, 68 = 4*g - 2*b + 74. Solve y - 5*k = -25, -6 = 3*y - k - g for y. 0 Suppose -5496 = -537*d + 33705. Solve -11 = -w - 3*u, -2*w + 60 = -u + d for w. -4 Suppose 263 + 1321 = 48*m. Suppose -2*a + 64 = -0*a. Suppose m*p = a*p + 3. Solve 0 = -p*u + 2*n - 5, -6 - 1 = 3*u - n for u. -3 Let j = -2004 + 2012. Solve 5*m - j = f, m = 3*f + 7 + 3 for m. 1 Let d(q) be the first derivative of 2*q + q**2 + 202 + 2*q**2 - 214 + 2*q**2. Let j be d(1). Solve -8*u = -3*u + v + 27, 2*u + j = -v for u. -5 Let r = -11085 - -11091. Solve 5*f = 2*q + 35, 4*q = 5*f - 51 + r for q. -5 Let l be (-2 - 2 - -4)/(-1) - -3. Let s be 9/l*(-24)/(-18). Solve 0 = 2*j - 2*w - w - 5, -j + s = -2*w for j. -2 Suppose 0 = -3*j + 3*w + 57, -2*w + 76 = 4*j - 6. Solve -5*d - 3*r = j, 0 = -2*d + 3*r + 18 - 5 for d. -1 Let a(h) = h**3 + 12*h**2 + 16*h - 3. Let x be a(-11). Let m be (-58 - x)/(1 + (-2)/(-2)). Solve -3*d - 12 = 0, m = g + d - 3*d - 3 for g. -5 Suppose -3*h - 82 = -z, -h + 317 = 4*z + 2. Suppose -4*g - 8*y + z = -3*y, 4*g + 3*y = 81. Solve -20 + 4 = -4*w - d, g = 3*w + 3*d for w. 3 Suppose -823*s = -821*s - 20. Solve -2*x = -4*b + s, -4*x - 4*b = -9 - 7 for x. 1 Let v(h) = h**2 - 8*h + 20. Let u = -144 - -148. Let x be v(u). Solve -l + 3*s + 7 = -12, 0 = x*s + 20 for l. 4 Let z = -2160 - -2160. Solve -5*m + 10 = z, -4*a + 5*m - 14 - 4 = 0 for a. -2 Suppose -22*q + 236*q - 3424 = 0. Solve -q = 4*i, -i - 49 + 41 = 4*m for m. -1 Suppose -73*h = -68*h - 2*x - 34, -3*h + 18 = -2*x. Solve 0 = -2*s - 5*v + 24 + 6, 0 = -4*s + 3*v + h for s. 5 Suppose 40*q = 30*q + 109*q - 891. Solve 2*h - q = -3*k, -5*h - 16*k + 11*k + 15 = 0 for h. 0 Let g(v) = -2*v**2 - 6*v - 1. Let s be g(-2). Suppose t + 43 = s*p, 5*p - 90 = 2*t - 4*t. Solve 18 = 2*l - 4*u, 2*l + 0*u - p = 3*u for l. 5 Suppose -3*l - 4*n + 2 = 0, 23 = -2*l + n + 6. Let f be l/4*(-96)/36. Solve 5*x - 3 = -3*q + 2, -f*q = 2*x - 16 for q. 5 Suppose 3*l - 4*v = 28, -162*l = -159*l - 2*v - 20. Solve l*g - 12 = -2*h, -5*g + 6*h - 10*h + 12 = 0 for g. 4 Let g be (24/9)/(78/117). Solve 20 = -g*v - 2*s, 0*v - 5 = v - 5*s for v. -5 Suppose 6 = -2*k + 8, -26 = -7*a + 2*k. Solve -3*r = -4*b, 5*r - 16 = -a*b + 16 for r. 4 Let r(k) be the first derivative of -4*k**3/3 + k**2/2 + 5. Let o be r(1). Let m be o/(-9) - (-16)/6. Solve -z - 4*s - 3 = 0, m*s = -0*z - 2*z - 6 for z. -3 Let u(x) = 109*x + 767. Let k be u(-7). Solve -3*q = 15, 5*q + 17 = -6*m + k*m for m. 4 Let q = 13 + -13. Suppose 21*z - 18*z - 6 = q. Let a be 176/99 - 2/(-9). Solve 5*p + 0*p + z*c = 22, a*p = 3*c + 5 for p. 4 Let s = 303 + -288. Let j(n) = n**2 - 13*n - 30. Let z be j(s). Solve 0*m - 3 = 3*q + 5*m, 4*q - 5*m + 4 = z for q. -1 Suppose 3*j - j = 3*d - 9, -34 = -5*d - 3*j. Let s be ((-12)/54 + (-6)/(-27))/(-1). Suppose 2*l = -3*l + 100. Solve s*z - 5*z - l = -d*g, 2*z + 8 = 3*g for z. -4 Let z be 12/(-138) - (-16110)/115. Let h be 1*(-61)/(-7) + z/490. Solve 0 = 2*t, 3*k + h - 3 = 3*t for k. -2 Let j(g) = -17*g + 18. Let u be j(4). Let i be 23/4 + u/(-40). Solve y = -2, -5*z = 3*y + 3 - i for z. 2 Suppose 12 = 6*o - 4*o. Let h be (22/(-66))/(1/(-9)). Suppose -o*d + 42 = -h*d. Solve 6*s - 5*m + 5 = s, -s = 4*m - d for s. 2 Suppose -10 = l - 3*b, -3*l + 4*b - 16 = l. Let n be 5 - (6 - l - 4). Solve -p + 5*p - 18 = -5*q, p - 2*q + n = 0 for p. 2 Suppose -268 = -14*k + 26*a - 24*a, 24 = 4*a. Solve -6*d - 5*m - 20 = -9*d, 0 = d + 5*m + k for d. 0 Let d(n) = -14*n**3 - 783*n**2 + 56*n. Let a be d(-56). Solve a = 5*b - 2*u - u + 2, 0 = -2*b + 2*u for b. -1 Suppose -k = 3*g - 20, 0*k - 68 = -5*k + g. Suppose -4*m - k = 22. Let a be (-8)/2*m/12. Solve -a*f + 0*w - w = -5, -5*f + 23 = -2*w for f. 3 Suppose 199*l = -98*l + 1485. Solve -4*p + 11 = -5*y - 3, 0 = -l*p + y + 28 for p. 6 Let w = 92 + -72. Suppose 5 = -4*g + 21. Suppose -m + w = g*m. Solve -2*u - 9 = u - m*h, -5*u - 3*h + 14 = 0 for u. 1 Let k(l) = -14*l - 96. Let j be k(-7). Suppose h = -j*d + 10, -4*d - h - 2 + 18 = 0. Solve -d*w = -4*q + 14, -4 = 3*w - w for q. 2 Suppose 19*t + 22 = 30*t. Solve -2*x - 2*x + t*c = 0, 3*c = 3*x - 6 for x. -2 Let g be (-3)/((-9)/(-3)) + (-61 - -72). Solve -g = -y + 2*l, -4*y = 5*l + 158 - 159 for y. 4 Suppose 58*m = 53*m + 30. Suppose 4*v - v + 3*d = 24, -v = 2*d - m. Solve 5*k = 5*t - v, 0 = -2*t - 3*k - 11 - 10 for t. -3 Let a(t) = 6*t**2 - 7*t. Let o be a(3). Let s = o + -29. Let l be (5/(-2))/((-2)/s). Solve -d - 14 = -3*h, 11 = l*d + 2*h + 30 for d. -5 Let t = 245 + -48. Suppose -176 = 7*f - t. Solve -3*n + 1 = -y, 8 + f = 4*y + 3*n for y. 2 Let k(h) = -h**2 + 73*h + 1333. Let p be k(-15). Solve 0 = -t - 3*l - p, 4*t - 31*l = -29*l + 4 for t. -1 Let h(l) = -16*l**3 - l + 2. Let f be h(-2). Let m be (-420)/f + (-6)/(-33). Let d be m/7 - 221/(-91). Solve -y + t = -3*t - 17, t - 1 = d*y for y. -3 Let c(x) = x + 1. Let v be c(3). Let k be (1/(-4))/((-44)/176). Let n(f) = 14*f**3 - 3*f**2 + 4*f - 1. Let s be n(k). Solve r + 7 = 4*t, v*r - t = t + s for r. 5 Let x be (188/(3 + -1))/((-8)/(-4)). Suppose -67 = -5*r - j, -4*r + x = -2*j + 5*j. Solve -3*n - 12 = -5*y, -5*y + 5*n = -r - 6 for y. 0 Let v(q) = -33*q - 88. Let p be v(-10). Suppose p*c = 239*c + 48. Solve -4*o - 4*w -
{ "pile_set_name": "DM Mathematics" }
Let a(i) = -i**2 + i + 1. Let c(t) = 4*a(t) + k(t). Let n = 21 - 16. Let d(s) = -3*s**2 - 5. Give n*c(y) + d(y). 2*y**2 Let j(h) = h**2 + h - 1. Suppose 0 = -3*l - 32 - 1. Let c = 13 + l. Let x(q) = -6*q**2 - 5*q + 5. Calculate c*x(t) + 10*j(t). -2*t**2 Let p(w) = -5*w**3 - 6*w**2 + 6*w - 6. Suppose -3*b + 8*b = -15. Let o be 10*(5/(-2) - b). Let s(g) = -4*g**3 - 5*g**2 + 5*g - 5. Give o*p(k) - 6*s(k). -k**3 Let s(y) = -1 - 5*y**2 - 1 + 5*y + 2. Let x(p) = -4*p**2 + 4*p. Suppose -3*u + 4 + 5 = 0, 3*w - 4*u = 0. Give w*x(z) - 3*s(z). -z**2 + z Let m(v) = v + 1. Let w(n) = -4*n - 4. Determine -14*m(g) - 4*w(g). 2*g + 2 Let x = 31 - 36. Let p(n) = -n**2 + n. Let s(y) be the third derivative of y**5/10 - y**4/8 - y**3/3 - y**2. Give x*p(c) - s(c). -c**2 - 2*c + 2 Let x = -9 - -12. Let l(c) = 6*c**2 + 16*c - 10. Let t(j) = -j**2 - 3*j + 2. What is x*l(i) + 16*t(i)? 2*i**2 + 2 Let m(h) be the second derivative of -5*h**3/6 + h**2 - 5*h. Let v(o) = -o. Determine m(p) - 6*v(p). p + 2 Let t(z) = 15*z - 13. Let k(h) = 30*h - 27. Let s(r) = -2*k(r) + 5*t(r). Let y(f) = -8*f + 6. Calculate -6*s(j) - 11*y(j). -2*j Let i(p) = 11*p**3 - 2*p. Let w(a) = -a**2 + 2*a. Let j be w(2). Let d(v) = 5*v**3 - v + j + 1 - 1. Give -7*d(r) + 3*i(r). -2*r**3 + r Let t(m) = -17*m**3 - 9. Suppose 2*w = 2 + 4. Let u(h) = 6*h**3 - 4 + w - 2*h**3 + 3. Suppose 0 = 5*c - 3*q + 19, -2*c - 5*q = 1 - 12. What is c*t(x) - 9*u(x)? -2*x**3 Let z(c) = -12*c**2 + 4. Let i(d) = d**2 - 1. What is -4*i(f) - z(f)? 8*f**2 Let v(b) = b**2. Let s(c) = -7*c**2 + 21*c - 2. Calculate -s(a) - 6*v(a). a**2 - 21*a + 2 Let i(o) = -8*o**2 + 7. Let c(u) = u**2 + 2*u**2 - 4 + 5 - 3. Give 7*c(g) + 2*i(g). 5*g**2 Let g(b) = -1. Let w(k) = -k - 6. What is 5*g(y) - w(y)? y + 1 Let b(a) = -a**2. Let r(z) = 4*z**2 + 1. Let j be (-5)/((-10)/8) - (1 + 2). Calculate j*r(l) + 5*b(l). -l**2 + 1 Let r(f) = 3*f**2 + 3*f - 2. Let m(o) = -7*o**2 - 6*o + 4. What is -2*m(u) - 5*r(u)? -u**2 - 3*u + 2 Let s(k) = k**2. Let l(p) be the second derivative of -3*p**5/20 - 7*p**4/12 + 34*p. Give -2*l(j) - 14*s(j). 6*j**3 Let o(w) = 2*w + 27. Let b(u) = -8*u - 109. Calculate -2*b(i) - 9*o(i). -2*i - 25 Let p(t) = 2*t**3 - 1 + 5 + 2*t**2 - 5. Let f(g) = -g**3 - g**2 + 1. Give 5*f(i) + 3*p(i). i**3 + i**2 + 2 Suppose 18*s + 12 = 16*s. Let y(g) = -7*g + 3. Let c(k) = 8*k - 4. Determine s*y(v) - 5*c(v). 2*v + 2 Let p(n) = 5*n + 3. Suppose 3*l - 12 = 0, -6*w + 42 = -11*w + 3*l. Let h(u) = 14*u + 9. What is w*h(y) + 17*p(y)? y - 3 Let r(u) = u - 1. Let z(s) = 3*s**3 + 5*s - 4. What is -4*r(p) + z(p)? 3*p**3 + p Let b(p) = -12324*p**3 + 869*p. Let y(k) = 85*k**3 - 6*k. Give -6*b(c) - 869*y(c). 79*c**3 Let y(o) = 3*o**3 + 4*o**2 - 2*o + 2. Let c(f) = -4*f**3 - 5*f**2 + 3*f - 3. Let m = 23 + -25. Let i be (6/(-4))/((-4)/(-8)). Determine i*y(k) + m*c(k). -k**3 - 2*k**2 Let y(o) = -2*o**2 - 4*o + 3. Let t(x) = -4*x**2 - 7*x + 5. Let r = -49 - -42. Determine r*y(f) + 4*t(f). -2*f**2 - 1 Let u(j) = 5*j. Let y be -5 + 0 + 2/2. Let g be 1/1*y/4. Let a(h) = h. Give g*u(s) + 6*a(s). s Let p(f) = -f + 1. Let t(b) = b - 13. What is -2*p(q) - t(q)? q + 11 Let l(q) = -q. Let k(j) be the first derivative of -3*j**2/2 - 2*j + 30. Determine -k(v) - l(v). 4*v + 2 Let b(n) = -4*n**2 - 7*n - 5. Let l(r) = -2*r**2 - 3*r - 2. Suppose x + 5 = 2*x. Let a = 717 - 719. Determine a*b(t) + x*l(t). -2*t**2 - t Let h(a) = 11*a**2 - 4 - 7*a**2 + 16*a - 9*a. Let j(n) = 2*n**2 + 3*n - 2. What is 4*h(f) - 9*j(f)? -2*f**2 + f + 2 Let i(y) = 4 - 9 + y**2 - 3*y + 3 + y. Let m(f) be the third derivative of f**5/20 - 7*f**4/24 - 7*f**3/6 - f**2. Give -7*i(s) + 2*m(s). -s**2 Let j(v) = -8 + 50*v**2 - 51*v**2 + 2*v - 6*v. Let p = -1 - -3. Let c(l) = l + 2. Determine p*j(d) + 9*c(d). -2*d**2 + d + 2 Let u(a) = -3*a**2 + 6*a - 2. Let m(x) = -7*x**2 + 13*x - 5. Suppose 0 = 5*i - 3*t - 20, -i + 5*t = -2 - 2. Determine i*m(l) - 9*u(l). -l**2 - 2*l - 2 Let x be (6/(-2))/((-27)/(-36)). Let d(j) = -j**2 + j + 1. Let w(i) = -5*i**2 + 2*i + 5. Calculate x*d(p) + w(p). -p**2 - 2*p + 1 Let l(h) = h**3 - 5*h**2 - 3*h - 4. Let d(s) = -s**3 + s**2 + s + 1. Let v be 78/18 + -6 - (-4)/6. Give v*l(n) - 3*d(n). 2*n**3 + 2*n**2 + 1 Let j(o) = 5*o**3 - 5*o**2 + 8*o. Let q(s) = -14*s**3 + 14*s**2 - 23*s. Give 17*j(f) + 6*q(f). f**3 - f**2 - 2*f Let d(r) = -8*r**3 - 4*r**2 - 5*r - 5. Let x(w) = -w**3 - w**2 - w - 1. What is -d(y) + 5*x(y)? 3*y**3 - y**2 Let l(v) = v**2 - 2*v - 2. Let t(j) = 3*j**2 - 5*j - 5. What is 10*l(g) - 4*t(g)? -2*g**2 Let o(p) = 19*p**3 + 6*p**2 - 6. Let s(h) = 57*h**3 + 17*h**2 - 17. What is 17*o(k) - 6*s(k)? -19*k**3 Let c(n) = 2*n**3 - 3*n**2 + 3*n + 3. Let t(a) = a - 1. Let h be t(4). Let g(z) = 4*z**h - 7*z**2 + 7 + 5*z - 2*z + 4*z. Determine 7*c(l) - 3*g(l). 2*l**3 Let h(p) = -3*p**3 + 6*p**2 - 2*p - 6. Let x(v) = 4*v**3 - 7*v**2 + v + 7. Determine -7*h(s) - 6*x(s). -3*s**3 + 8*s Let h(i) = 6 - i - 6*i - i. Let n be -8 + 2*(-1 + 2). Let y(c) = 27*c - 9*c - 17*c - 1 + 0. Determine n*y(q) - h(q). 2*q Let n(f) = f. Let y(x) = -x - 1. Calculate -n(t) - 5*y(t). 4*t + 5 Let m(q) = 4*q + 1. Let l(s) = 4*s**2 + 5*s + 1. Let i be l(-2). Let n(d) = -9*d - 3. Determine i*m(h) + 3*n(h). h - 2 Let z(g) = g**3 + 7*g**2 - 3. Let p(s) = -s**2 + 1. Calculate -6*p(r) - z(r). -r**3 - r**2 - 3 Let f(w) = -w + 10. Let p = -21 - 1. Let b(m) = 3. Let n(z) = -4. Let g(q) = -7*b(q) - 5*n(q). Calculate p*g(t) - 2*f(t). 2*t + 2 Let h(q) = 2*q**3 + 5*q**2 + 6*q - 4. Let t be (0 + 2)/(-1) + (3 - -3). Let g(v) = -2*v**3 - 2*v**3 + 3*v**3 + 3 - 4*v**2 - 5*v. Determine t*g(w) + 3*h(w). 2*w**3 - w**2 - 2*w Let j(l) = -l**2 + 5*l + 2. Let w(c) = -c**3 - 2*c**2 + 12*c - 2. Let a be w(3). Let r(i) = -3*i**2 + 14*i + 5. Determine a*j(k) + 4*r(k). -k**2 + k - 2 Let h(z) = 9*z + 6. Let d = 19 + -10. Let y(o) = -19*o - 12. Let r(s) = d*h(s) + 4*y(s). Let q(w) = -4*w - 5. Let k = 5 - 10. Determine k*r(a) - 6*q(a). -a Let j(y) = 2*y**2 - 10*y + 10. Let t(g) = 2*g**2 - 9*g + 9. Let c(k) = 3*j(k) - 4*t(k). Let l(b) = b - 1. What is c(s) - 6*l(s)? -2*s**2 Let n(y) = -4*y - 6. Let v(t) = -4*t - 5. Calculate -5*n(p) + 6*v(p). -4*p Let z(c) = 2*c. Let t(b) = -b + 3. Let x(a) = 2*a - 7. Let k(s) = 7*t(s) + 3*x(s). Determine 7*k(j) + 6*z(j). 5*j Let c(s) = 3*s**2 - 7*s - 7. Let i(d) = -5*d**2 + 11*d + 11. Let x(o) = o**3 - 15*o**2 - 15*o - 11. Let v be x(16). Calculate v*i(l) + 8*c(l). -l**2 - l - 1 Let c(k) = -k**2 + k + 1. Let u(l) = -l**3 + 3*l**2 - 3*l + 20. Give -3*c(j) - u(j). j**3 - 23 Let h(v) = -v + 1. Suppose -u + 2*p = -5*u - 16, 0 = -4*u - 4*p - 20. Let z(g) = g - 1. Determine u*z(i) - h(i). -2*i + 2 Let z(v) = 13*v + 2. Let f(q) = 12*q + 2. Determine 7*f(a) - 6*z(a). 6*a + 2 Let s(w) = -5*w - 3. Let o(a) = 4*a + 3. Give -3*o(m) - 2*s(m). -2*m - 3 Let x(b) = -15*b**3 - 7*b**2 + 7*b - 15. Let k(w) = 8*w**3 + 4*w**2 - 4*w + 7. Determine -7*k(m) - 4*x(m). 4*m**3 + 11 Let x(b) = 2*b - 4. Suppose 2*k + 28 = -5*k. Let f(v) = 6*v - 11. Give k*f(t) + 11*x(t). -2*t Let f(g) = 2*g**3 - 2*g**2 + g. Let l = 11 + -10. Let n be f(l). Let d(a) = a + 1. Let h(c) = 2*c**2 + 4*c + 4. Determine n*h(i) - 3*d(i). 2*i**2 + i + 1 Let u(s) = -s - 6. Let b(o) = o + 5. Let v(z) = z**3 - 20*z**2 + 19*z - 6. Let h be v(19). What is h*b(l) - 5*u(l)? -l Let s(j) = -3*j**2 - j - 5. Let t(g) = -2*g**2 - g - 3. Suppose -3*a = 4*p + 15, 0 = -a + 2*a + p + 5. Give a*t(v) + 3*s(v). v**2 + 2*v Let o(k) = -3*k**2 + 3*k - 2. Let a(p) = p**2 - p. Suppose -f = -6*f + 15. Suppose -h + 1 = -j, -5*j + 12 - 49 = f*h. Let m = 6 + j. What is m*o(q) + 2*a(q)? -q**2 + q - 2 Let w(c) = 4*c**3 + 2*c**2 - 2*c + 2. Let f(a) = 5 + 11*a**2 - 6*a**2 - 4*a - a + 9*a**3. Calculate -2*f(q) + 5*w(q). 2*q**3 Let n(z) = 14*z**2 + 6*z - 8. Let j(l) = 9*l**2 + 4*l - 5. Suppose h - 4*h = 0. Let y be h/3*(-1)/2. Suppose -s = -5 - y. Determine s*n(u) - 8*j(u). -2*u**2 - 2*u Let n(q) = q**2 + 3. Let g(a) = -38. Let s(u) = -13. Let z(m) = 4*g(m) - 11*s(m). Let d(f) = 5. Let p(t) = 7*d(t) + 4*z(t). Determine -n(c) - p(c). -c**2 - 2 Let f(x) = -5*x + 6. Let n(k) = 4*k - 4. Let v(o) = o - 1. Let c(h) = -n(h) + 3*v(h). Determine 11*c(i) - 2*f(i). -i - 1 Let q(l) = -l**2 - 8*l + 3. Let r(j) = -j**3 + 16*j**2 - j + 11. Let f be r(16). Let c(u) = u**2 + 5*u - 2. Determine f*
{ "pile_set_name": "DM Mathematics" }
2*h - h = -u - 34, 5*u - h = -152. Let o = 27 + u. Let d(g) = 2*g**2 + 6*g + 5. Calculate d(o). 13 Let r(c) be the first derivative of -c**7/840 - c**6/90 + c**5/60 + c**4/4 + c**3 - 25. Let i(m) be the third derivative of r(m). Calculate i(-4). -2 Suppose -5*k + 0*k = 3*f - 3, 3*f + 3 = -3*k. Suppose -13 - 5 = -k*t. Suppose -9 = 3*g - t. Let u(m) = -14*m - 1. Determine u(g). 13 Suppose 3*k - 3 = 6, 3*k = -2*x + 15. Let l(a) = 3*a**3 + 2 + 2*a - 3*a - 3 - 2*a**x - a**2. Calculate l(-1). -2 Let j(k) = 3*k + 1. Let a(l) = -l. Suppose 8 = -5*d + 3. Let s(i) = d*j(i) + 2*a(i). Let r = 11 + -10. Determine s(r). -6 Let g(h) be the second derivative of 5*h**3/6 - 37*h**2/2 - 38*h. Determine g(8). 3 Let j(h) = 3*h**2 - 2*h - 1. Let s(g) = g**3 + 2*g**2 + 2*g + 1. Let p be s(-2). Let n be (4/p)/2*-3. Let v be j(n). Let i(o) = o - 7. Determine i(v). 0 Let u(q) = -2*q**2 - 26*q - 25. Let s(w) = w**2 + 13*w + 12. Let o(d) = -5*s(d) - 3*u(d). Let j(t) be the first derivative of o(t). What is j(-10)? -7 Let y(l) = 10*l - 3. Let z(x) = -50*x + 16. Let f(s) = -11*y(s) - 2*z(s). Let t be (6 + -11)*4/5. Let q = t + 6. Determine f(q). -19 Let b(x) = x**3 + x**2. Let m(p) = 6*p**3 + 6*p**2 + p + 7. Let q = 65 + -60. Let k(c) = q*b(c) - m(c). Suppose -3*g + g = 0. Calculate k(g). -7 Let b(t) = -11*t - 2. Let m = -31 + 33. Let a(d) = 5*d + 1. Let g(l) = m*b(l) + 5*a(l). Calculate g(3). 10 Let d(k) be the second derivative of k**4/6 - k**3 - k**2 + 25*k. Let y(p) = p**3 + 9*p**2 - 12*p. Let u be y(-10). Suppose -7*l + 3*l = -u. Determine d(l). 18 Let z(n) = 3*n**2 - 44 - 2*n + 95 - n**3 - 50. Determine z(3). -5 Let b(y) be the first derivative of y**7/840 - y**4/12 - 11*y**3/3 + 6. Let r(c) be the third derivative of b(c). Let q = -9 - -11. Determine r(q). 6 Let i(y) be the second derivative of y**4/12 + 5*y**3/6 - 2*y**2 + y + 57. Let k(f) = f - 2. Let o be k(8). Suppose 0 = -2*d - o - 6. Give i(d). 2 Let b(w) = -21 - w**2 + 2*w**2 - w + 9 + 5. Give b(5). 13 Let n(s) be the third derivative of s**4/24 + 31*s**3/6 - 408*s**2. Determine n(-22). 9 Let w(f) = 5*f**2 - 3*f - 1 + f - 3*f**2 + 2. Let b be (-6 - 29/(-5))*-5. Determine w(b). 1 Let j(v) = v**2 - 14*v + 35. Suppose -y - 5*y + 66 = 0. Give j(y). 2 Let r(c) = 11*c + c**3 - 163 + 0*c + 170 - 12*c**2. Determine r(11). 7 Let l(f) = -2*f - 9. Suppose -2*w - 2*a - 3*a = -27, 0 = -w + 3*a - 14. Let u be 2*-35*w/2. Let x be 14/u + (-33)/5. Calculate l(x). 5 Let t(y) be the first derivative of 3*y**2/2 - 18*y + 984. Calculate t(8). 6 Let v be 12/20*(-175)/(-21) + 4. Let l(u) = u**3 - 9*u**2 - 1. What is l(v)? -1 Suppose 5*z + 2 = -r + 29, 0 = -2*z + 5*r + 27. Let d(j) = -j + 12. Let x(f) = f - 12. Let g = 52 + -48. Let v(a) = g*x(a) + 5*d(a). Determine v(z). 6 Let d(h) be the second derivative of h**7/840 - h**6/90 + h**5/60 + 5*h**4/24 + 7*h**3/6 - 4*h. Let l(m) be the second derivative of d(m). Calculate l(4). 13 Let k(j) = j**2 - 10*j + 11. Let y(r) = -r**2 + 3*r + 18. Suppose 106 = -4*n + 126. Let l be y(n). What is k(l)? -5 Let f(y) = y + 10. Let m be f(-6). Suppose k - i = -3, -1 = -3*k + 5*i - m. Let o be 8/k*63/(-28). Let q(h) = h**3 - 2*h**2 - 3*h. Calculate q(o). 0 Let a(v) be the first derivative of -v**4/4 - 26*v**3/3 - 49*v**2/2 - 26*v - 234. Give a(-24). -2 Let b(x) be the first derivative of x**4/4 + 5*x**3/3 + x**2 + 3*x - 15. Suppose -2*s = 3*s. Let q be 0 + -2 + s + -3. Give b(q). -7 Let n(d) = 23*d + 12. Let z(x) = 8*x + 4. Let s(g) = 4*n(g) - 11*z(g). Determine s(-3). -8 Let w be (-12)/24 - 14/(-4). Suppose -2*g = -8, -w*g + g = -2*v - 2. Let o(m) = -v*m - 2 + m**2 - 3*m**2 + 4 + m**2. Calculate o(-4). -2 Suppose -3*g - 4*x + 0*x = 10, -5*x - 20 = 0. Let n(t) = 9*t**2 - 4*t + 1. Let q(o) = 7*o**2 - 3*o + 1. Let h(r) = -3*n(r) + 4*q(r). Calculate h(g). 5 Suppose 0 = -4*u + 3*h + 5, 15 = -u + 5*u - h. Let t(p) = -3*p**2 + 1 + u*p**2 + p**2. Determine t(1). 4 Let s be (-1 + 2)/((-1)/(-2)). Let c(h) = 5*h + s*h**2 - 9*h**2 + 11*h**2 + 2 - h**3. Give c(5). 2 Let l(m) = 7*m**3 - 3*m**2 - m + 2. Let k be 60/45 - 22/3. Let x(r) = 8*r**3 - 3*r**2 - r + 3. Let w(t) = k*x(t) + 7*l(t). Calculate w(3). -7 Let y(p) = 0 - p**2 - 41*p + 7 + 42*p. Let h(w) = 2*w**2 - w - 15. Let z be -1 + 2/(-2)*-3. Let d(a) = z*h(a) + 5*y(a). Calculate d(4). 1 Let w = 186 - 185. Let s(k) = k**2 - 2*k - 1. Let o be s(-1). Let c(m) = -7*m**2 - o*m - 3*m + 5*m. Give c(w). -7 Suppose -340 + 735 = 79*m. Let a(z) be the first derivative of -z**5/120 - z**4/24 - z**3/3 + 1. Let o(r) be the third derivative of a(r). Determine o(m). -6 Suppose -5*x + 2*k - 57 = -14, -2*x - 3*k = 21. Let c = 10 + x. Let s(d) = 8*d**3 - d**2 + d - 1. Give s(c). 7 Let o be (-2)/(-3) + 560/42. Let c be (12/(-21))/((-4)/o). Let r(m) = 8*m**2 + 2*m. Let y(f) = 33*f**2 + 9*f. Let q(w) = 21*r(w) - 5*y(w). Calculate q(c). 6 Let d(n) = -n + 5. Let f(q) = 2*q - 5. Let s(i) = -6*d(i) - 5*f(i). Calculate s(5). -25 Let i(s) be the third derivative of 1/60*s**5 - 10*s**2 + 0 + 0*s + 0*s**4 + 5/6*s**3. Determine i(4). 21 Let j(m) = m. Let b(c) = 1. Let x(s) = 3*s + 6. Let a(u) = 4*b(u) - x(u). Let r(f) = a(f) + 5*j(f). Determine r(4). 6 Let d(c) be the second derivative of c**5/60 + c**4/3 + 3*c**3/2 + 3*c**2/2 + 3*c. Let i(w) be the first derivative of d(w). Let k = -137 + 130. Give i(k). 2 Let p = 24 + 8. Suppose -c + 9*c = p. Let x(q) = -2*q - c - 6*q + q**3 + 16 + 8*q**2. Determine x(-9). 3 Let r = -28 - -30. Let x(h) = 4 - 6 + r + h. Determine x(-4). -4 Let m(o) = o**3 - 4*o**2 + 5*o - 4. Let l = -16 - -22. Let r be (1 - l)/5 + 6. Suppose 0*x - 11 = -r*g + x, g + 3*x - 15 = 0. Determine m(g). 2 Let d(i) = i**2 + 8*i - 5. Let h(n) = 6*n - 2. Let q be h(-5). Let o = 26 + q. Determine d(o). -17 Let p(w) be the second derivative of -w**5/20 + w**4/6 + w**3/2 + w**2 + 3*w. Let g(k) = k + 2. Let r(x) = x. Let m be r(1). Let h be g(m). Determine p(h). 2 Let n(f) be the first derivative of -2*f**2 - 3*f - 505. Determine n(-5). 17 Let o(q) = 3*q + 1. Let y = 78 - 75. Give o(y). 10 Let a(r) = -r**3 + 4*r**2 + 3*r + 3. Let l(k) = -k**3 + 6*k**2 - 7*k + 6. Let o be l(4). Suppose 3*q - o*q = -28. Let i be (0 - 8)/q + 7. Calculate a(i). -7 Let x(r) = -r**3 - 4*r**2 + r - 5. Let n be 15 + -10 - (-2 + 12). Calculate x(n). 15 Let f(i) = i - 3*i + 1 - i. Let x be 1/((-2)/12) - -3. Let k be (9 - 6)/(x/(-2)). Determine f(k). -5 Let f = 505/6 + -83. Let g(a) be the third derivative of 0*a + 3*a**2 + 1/12*a**4 + 0 - f*a**3. Calculate g(5). 3 Let x be ((-6)/27)/(3*1/(-27)). Let z(i) = -5*i**2 + 25 + 4*i**x - 21 - 2*i - i. Give z(-4). 0 Let k = -42 + 45. Let x(z) = 5*z**2 + z + 4*z**2 - 2*z**2 - 7 - 8*z**2 - z**k. Let t = -3 + 3. Give x(t). -7 Let c(w) be the third derivative of 1/24*w**4 - 5/6*w**3 - 1/120*w**6 + 0*w - 5*w**2 + 0 + 0*w**5. Calculate c(0). -5 Suppose 0 = h - 5*x + 14, -2*h + 2*x - 2 = -6. Let f(p) = h - 21*p + 8*p + 19*p + 4 - p**2. Suppose 2*y - 5*z - 4 = 0, y - 3*y + 3*z + 8 = 0. Determine f(y). 3 Let a(r) = 7*r - 43. Let h = 672 - 665. Calculate a(h). 6 Let m(w) = -2*w**3 + w**2 + 2*w + 1. Let y be m(-1). Suppose -2*x = -g - y + 4, 4*g = -x + 8. Let p(h) = -1 - h**3 + 0*h**3 + 3*h - 2*h. Calculate p(g). -7 Suppose -4*o = -5*o + 1. Let k be (-2 - 1*-7)*o. Let w(y) = 5 + 0*y - y**2 - 2*y**2 + 3*y + 2*y**2. What is w(k)? -5 Let n(m) = m - 4. Suppose 2*y - 12 = b, -y + 0*b + 3*b = -11. Give n(y). 1 Let i = -6 - -11. Suppose -3*d - 2*d = -a, a = -i*d. Let h(f) = 2*f + 3*f + d - 1 - 4*f. What is h(-4)? -5 Let l(p) = -p - 1. Let o be l(3). Let a(g) = 7610*g**3 - g**2 - 3*g - 7611*g**3 - 4*g**2. Give a(o). -4 Let i(o) be the second derivative of -2*o**3/3 + 2*o**2 - 2*o + 21. Determine i(4). -12 Let j(u) be the second derivative of -u**5/20 + 7*u**4/12 - u**3/2 + u**2 + 12*u - 1. Determine j(7). -19 Suppose -7*p - 45 = 116. Let h = 22 + p. Let y(s) = -8*s. Let m be y(h). Let c(j) = -j**3 + 9*j**2 - 10*j + 12. Determine c(m). -4 Let t be 12/(-30)*5 + 3. Let i(g) = -10*g**3 + g**2 - 1. Determine i(t). -10 Let d(f) be the third derivative of 0*f - 1/60*f**5 + 0 + 1/3*f**4 - 7/6*f**3 + 13*f**2. What is d(7)? 0 Let b(g) be the third derivative of g**7/840 - g**6/120 - g**5/40 + g**4/8 - g**3/2 - 6*g**2. Let n(w) be the first derivative of b(w). Calculate n(3). -6 Let o(d) = d - 1
{ "pile_set_name": "DM Mathematics" }
at is the greatest common divisor of n and 50? 10 Let u(k) = -19*k - 1. Let d be (-2)/3*(-3)/(-2). Let s be u(d). Suppose 3*o - s = -3. What is the greatest common factor of 25 and o? 5 Let w(z) = -z**3 + 5*z**2 + 2*z + 3. Let j be w(5). Let b = -4 - -30. What is the greatest common divisor of j and b? 13 Let x(i) = -i**2 + 20*i + 3. Let k be x(9). Suppose 3*n = -0*n - 3*r + 75, -4*n - 2*r + k = 0. Calculate the highest common divisor of n and 13. 13 Suppose 250 = 7*o - 2*o. Calculate the greatest common divisor of o and 20. 10 Suppose -8*v = -3*v - 75. Calculate the highest common factor of v and 9. 3 Let y = 7 + -4. Let z be (-6)/12 - (-31)/2. What is the greatest common factor of y and z? 3 Let u(h) = 3*h**3 - h**2 - 2*h - 3. Let t be u(-2). Let j = t - -72. Calculate the highest common factor of 5 and j. 5 Let y(s) = s**3 - 4*s**2 + s. Let n be y(5). Suppose -j = -3*j. Suppose j = v + 3*v - 24. Calculate the greatest common divisor of v and n. 6 Let c be 3/(-2 - (-29)/14). Calculate the greatest common divisor of c and 336. 42 Suppose -w + 6 = -0*w. Let n be (-6 + 0)/((-5)/15). What is the highest common factor of n and w? 6 Suppose 9 = y + 2*y. Suppose -3*s = 2*s - 30. Suppose -90 = y*c - s*c. What is the greatest common factor of c and 15? 15 Suppose 2*y - 3*y + 36 = 0. Let h be (-5)/((-210)/3784) + (-140)/1470. What is the highest common divisor of y and h? 18 Suppose 5*t - 79 = 26. Let g be (4/(-3))/(6/(-9)). Suppose -17 = -4*m + 3*c + 2, -g*c - 22 = -4*m. What is the highest common factor of t and m? 7 Let m = 19 - 41. Let l(b) = -2*b - 2. Let z be l(-6). Let t be z/((-4)/m + 0). Calculate the highest common divisor of t and 11. 11 Suppose -t + 15 = 4. What is the highest common divisor of t and 88? 11 Let v(s) = 21*s**3 + 2*s - 1. Let o be v(1). Suppose 0 = 3*c + 3*y + 2*y - 66, c - o = y. What is the highest common factor of 88 and c? 22 Let r(b) = b**2 - b + 2. Let i be r(0). Let f(m) = m**2 - 1. Let j be f(i). What is the greatest common factor of 12 and j? 3 Let o = 8 + -6. Let q be (-5 + -3)*(-5 + -3 + 7). What is the greatest common divisor of q and o? 2 Let d = 192 - 104. What is the greatest common divisor of 8 and d? 8 Suppose 2*k + 185 = 3*d, -5*k + 5*d - 210 = 260. Let f = -69 - k. Calculate the highest common factor of 70 and f. 14 Let t be 142/6 + (-3)/(-9). Calculate the highest common factor of 12 and t. 12 Let v = 44 - 40. Let p(q) = 4*q + 4. Let h be p(3). Suppose 5*z = -a + h, v*z = 3*a + a - 16. What is the highest common divisor of 18 and a? 6 Let s be (7 + -4)/(-3) - -3. What is the highest common divisor of s and 2? 2 Let g = 24 - 18. Suppose -16 = -g*p - 4. Calculate the greatest common factor of p and 16. 2 Let o be (2/3)/(6/144). Suppose 2*g = 2*n + 8, -5 = 3*g - 17. Suppose 5*j - 10 = -n*j. What is the greatest common divisor of o and j? 2 Let d = 60 - 39. What is the greatest common divisor of d and 7? 7 Suppose 0 = -6*y + 95 - 17. What is the greatest common factor of y and 247? 13 Let f = -102 + 146. Suppose f + 44 = o. Let s = -18 - -26. What is the greatest common factor of o and s? 8 Let o be 221 - (-1 - (-3 + 1)). Suppose 0*y + o = 5*y. Let m be (7/2 - 4)/((-1)/8). Calculate the highest common factor of m and y. 4 Suppose -8 = 4*p, -5*i - p - p = -1206. Suppose 3*w + t - 69 = -0*t, 100 = 4*w + 4*t. Calculate the highest common factor of w and i. 22 Let j be (276/10)/(15/50). What is the highest common divisor of 23 and j? 23 Let a be 114/(-1)*(-1)/2. Let y be 36 - (2*-2 - -2). What is the greatest common factor of y and a? 19 Let n(g) = 4*g - 2. Let c be n(3). Let o = -5 + 20. What is the greatest common factor of c and o? 5 Suppose -5*u + 3*h = -140, 4*u + 80 = 7*u - h. Let v = u + -10. Calculate the highest common factor of v and 45. 15 Let p be 73/4 - (-2)/(-8). Let v be (-3)/(p/(-75))*6. Calculate the highest common divisor of v and 15. 15 Suppose 0 = 4*d + 2*x - 12, 0*d + 6 = 2*d - 3*x. Let n = -59 - -80. What is the highest common divisor of n and d? 3 Let n(p) = -p - 3. Let b be n(-3). Suppose -4*v + 11 + 1 = b. Suppose -v*g = -o + 21, 4*g - 60 = -2*o + g. Calculate the greatest common divisor of 3 and o. 3 Let i be 4/(-18) - (-40)/18. Suppose 5*p - 2*p - 30 = 0. What is the greatest common divisor of p and i? 2 Let c(k) = -29*k**3 + k + 1. Let r be c(-1). Calculate the greatest common factor of r and 174. 29 Suppose 2*k = 5*n + 69, 4*k + 2*n + n - 125 = 0. Let l = -63 + 67. What is the greatest common divisor of k and l? 4 Suppose -227*s + 12 = -226*s. What is the highest common factor of 54 and s? 6 Suppose -878 = -4*k - c, 378 = 3*k - 5*c - 292. Let d be 4*-1*(-3 - -2). Let l be (15/d)/((-30)/(-160)). What is the greatest common factor of l and k? 20 Let k be 25/2 + (-2)/4. Suppose 12 = 4*o - 0. Let b be (24/5)/(o/60). What is the highest common divisor of k and b? 12 Suppose 74 = 5*a - 3*z, a + 5*z - 11 = 15. Suppose -376 = -2*w - 88. Calculate the greatest common divisor of a and w. 16 Suppose y = -5*d - y + 64, -5*d + 61 = 3*y. Calculate the highest common divisor of 70 and d. 14 Let f be (9/6)/3*20*3. What is the highest common factor of f and 12? 6 Let r = -19 + 32. Suppose 15 = -3*z, 3*z = -d + 1 - r. Suppose -d*p + 0 = -18. Calculate the greatest common factor of 42 and p. 6 Suppose 72 + 126 = 3*r. Calculate the greatest common divisor of r and 44. 22 Let q be 6/(-39) + 3005/13. Let y be (40 - (1 + -3))/2. Calculate the greatest common factor of q and y. 21 Let r = 12 - -42. What is the highest common factor of 6 and r? 6 Let r(j) = 4*j - 20. Let k be r(6). What is the greatest common factor of 12 and k? 4 Suppose 3 = k - 6. Let t be 8/(-6)*18*(-3)/24. What is the greatest common factor of k and t? 3 Let r be -2*(-4)/(-8)*-1. Calculate the highest common factor of 13 and r. 1 Suppose -305 = -5*g + 5*h, 8*h + 207 = 3*g + 13*h. What is the greatest common factor of g and 160? 32 Suppose -5*j + 48 = -4*j. What is the greatest common divisor of 12 and j? 12 Let m = -33 + 80. Suppose 0 = -p + m + 23. Let h = -43 - -71. What is the highest common factor of h and p? 14 Let h be (6 - 3)*19/3. Suppose -3*v + h - 1 = 0. Let d = -15 + 69. Calculate the highest common factor of v and d. 6 Let s(m) = 3*m**3 + 2*m**2 - 2*m + 1. Suppose -n + 1 = -0. Let t be s(n). Let r = 1 + 3. Calculate the greatest common divisor of t and r. 4 Suppose 0 = -5*q + 15, -3*j + 9 = q - 21. Let w(x) = 8*x + 3. Let d be w(4). Suppose j - d = -i. Calculate the greatest common divisor of i and 39. 13 Let i = -1 - -3. What is the highest common divisor of i and 6? 2 Suppose -4*g = -8*g + 96. What is the greatest common divisor of 3 and g? 3 Let y(r) = -2*r. Let l be y(-4). Suppose 4*c = -l, 5*i = -0*c + 2*c + 174. Suppose -x - x = -i. What is the greatest common factor of x and 119? 17 Let b be (12/9)/(2/(-9)). Let i = b + 13. What is the greatest common factor of 77 and i? 7 Suppose -1029 = 4*z - 3081. Calculate the highest common factor of 57 and z. 57 Suppose 4*x - 159 = p, 0*x + 2*x = -5*p + 85. What is the greatest common factor of 100 and x? 20 Let o(f) = -f**3 - f**2 + 7*f - 2. Let x be o(-5). Suppose 15 - x = -3*u. Calculate the greatest common factor of u and 4. 4 Let k be 5/(-2)*-28 + 0. Calculate the greatest common factor of 7 and k. 7 Let j(o) = o**2 - 2*o - 1. Let z be j(-3). Suppose -5*h + 119 = b + 13, -h = 3*b - 24. What is the highest common divisor of h and z? 7 Suppose 0 = 4*c - 2*c - 12. Let q(t) = t**3 - 4*t**2 + 7*t - 4. Let n be q(c). Calculate the highest common factor of n and 10. 10 Let k be (-7)/(-2)*(2 + 0). Let z = 13 - k. Let t be ((-2)/z)/(1/(-12)). What is the greatest common factor of t and 32? 4 Let x be 36/10*10/3. Suppose -2*f + 84 = -164. Suppose 5*y = 6*w - 3*w - f, -4*y = w - 64. What is the greatest common divisor of x and w? 12 Let o be (-16)/(-6)*(-6)/4. Let m(d) = d**2 + d - 1. Let i be m(o). Calculate the greatest common factor of 99 and i. 11 Let x be ((-5)/30)/(2/3)*-44. Calculate the greatest common factor of 110 and x. 11 Suppose 95 = o + 14. Suppose 3*n - 4 = 2, o = 3*b + 3*n. What is the highest common divisor of 5 and b? 5 Let y = 95 - 64. Let x = -3 + y. Calculate the greatest common factor of x and 14. 14 Let l(z) = -z**3 - 3*z**2 - 2*z - 2. Let x be l(-3). Suppose
{ "pile_set_name": "DM Mathematics" }
04005 rounded to zero decimal places? 15 What is -14.34517 rounded to two decimal places? -14.35 What is -26107560 rounded to the nearest 100000? -26100000 What is 37618.1 rounded to the nearest 100? 37600 Round -0.0000009307 to 7 decimal places. -0.0000009 Round 4.052315 to 3 dps. 4.052 Round -13115700 to the nearest 100000. -13100000 Round -0.00169852 to 3 decimal places. -0.002 Round 0.000056376678 to seven decimal places. 0.0000564 What is 0.842429 rounded to 1 decimal place? 0.8 What is 6620343 rounded to the nearest 1000000? 7000000 Round -0.45325332 to four dps. -0.4533 What is -0.00008638 rounded to 5 decimal places? -0.00009 What is 0.000046282819 rounded to 6 decimal places? 0.000046 Round -0.5371756 to one dp. -0.5 Round 0.0000304333 to 5 decimal places. 0.00003 What is 0.0159235 rounded to four decimal places? 0.0159 Round 0.88992618 to 4 decimal places. 0.8899 Round 2006.4025 to the nearest one hundred. 2000 Round -7867.5 to the nearest 100. -7900 Round 0.346497 to one dp. 0.3 Round 0.875617 to three decimal places. 0.876 Round -147021.8 to the nearest ten thousand. -150000 What is -836.2555 rounded to the nearest ten? -840 What is -0.0002284437 rounded to 6 dps? -0.000228 What is 9577150 rounded to the nearest ten thousand? 9580000 Round -156013.31 to the nearest one thousand. -156000 What is 421.777 rounded to the nearest integer? 422 What is -0.12832524 rounded to 1 decimal place? -0.1 What is -6.39973 rounded to two dps? -6.4 What is -9.11805 rounded to one decimal place? -9.1 Round 21861256 to the nearest 100000. 21900000 What is -94864.525 rounded to the nearest ten thousand? -90000 What is -1040140 rounded to the nearest ten thousand? -1040000 What is 0.002503948 rounded to six dps? 0.002504 Round -142462.48 to the nearest ten thousand. -140000 Round 2139594000 to the nearest one million. 2140000000 Round 2067.11 to the nearest 100. 2100 What is -0.029685119 rounded to four decimal places? -0.0297 Round 43.667514 to 2 dps. 43.67 What is -180928 rounded to the nearest one thousand? -181000 What is -0.033101355 rounded to five decimal places? -0.0331 Round 653.8343 to 0 decimal places. 654 What is 0.00015102451 rounded to 7 dps? 0.000151 Round 0.0001840799 to 4 decimal places. 0.0002 What is 0.165062 rounded to two decimal places? 0.17 What is -0.0000856586 rounded to 6 decimal places? -0.000086 Round 9401.6 to the nearest ten thousand. 10000 What is 1347418 rounded to the nearest 1000? 1347000 Round 0.002528985 to four decimal places. 0.0025 What is -125625 rounded to the nearest 1000? -126000 Round -238.7512 to the nearest one hundred. -200 What is -184.4112 rounded to 0 decimal places? -184 What is 138518720 rounded to the nearest ten thousand? 138520000 What is -966.38916 rounded to 1 decimal place? -966.4 What is 35521 rounded to the nearest 10? 35520 Round -396095.5 to the nearest ten thousand. -400000 What is 0.000131708 rounded to 6 decimal places? 0.000132 Round 2677.5648 to the nearest 10. 2680 What is 490.301 rounded to 0 dps? 490 Round 0.0923065 to 3 decimal places. 0.092 Round -224.8849 to the nearest 100. -200 Round -0.00000881063 to 5 dps. -0.00001 Round 146924.5 to the nearest 10000. 150000 Round -0.008801 to four dps. -0.0088 Round 217547.73 to the nearest 1000. 218000 What is -69849.18 rounded to the nearest 10000? -70000 What is 13.72162 rounded to zero dps? 14 What is -35037660 rounded to the nearest 1000000? -35000000 What is -873552 rounded to the nearest 100000? -900000 What is 0.0000303162 rounded to 5 decimal places? 0.00003 What is 136658000 rounded to the nearest 1000000? 137000000 What is 0.0000002639949 rounded to 7 decimal places? 0.0000003 Round 45881 to the nearest 100000. 0 Round -184.636 to one dp. -184.6 What is 0.445979 rounded to one decimal place? 0.4 What is 19.7257 rounded to the nearest 10? 20 What is -1.1648056 rounded to 3 decimal places? -1.165 What is 0.18805867 rounded to 3 dps? 0.188 Round -514.6254 to the nearest one hundred. -500 Round -2840.65 to the nearest 100. -2800 What is -0.00004856028 rounded to six dps? -0.000049 What is 5.53179 rounded to one dp? 5.5 What is -697.88 rounded to 0 dps? -698 Round -0.04171397 to 5 dps. -0.04171 What is 0.006348824 rounded to four decimal places? 0.0063 What is -223.6105 rounded to one dp? -223.6 Round 2922.429 to the nearest 10. 2920 What is -350.3516 rounded to the nearest one hundred? -400 Round 16354.565 to the nearest ten. 16350 Round -0.004339086 to 3 decimal places. -0.004 What is 24618.65 rounded to the nearest 100? 24600 Round 20440.1 to the nearest ten thousand. 20000 What is -50.4044 rounded to the nearest 10? -50 What is -68708020 rounded to the nearest one hundred thousand? -68700000 Round 245533000 to the nearest one hundred thousand. 245500000 What is 1971.299 rounded to the nearest 10? 1970 What is 345738.3 rounded to the nearest ten thousand? 350000 What is -0.054130367 rounded to five decimal places? -0.05413 Round -9200.27 to the nearest 10. -9200 What is -1.44626 rounded to 1 decimal place? -1.4 Round 1.214245 to 1 dp. 1.2 What is -112049.3 rounded to the nearest ten thousand? -110000 Round -1.679928 to 2 dps. -1.68 Round 0.0006837 to 3 decimal places. 0.001 What is 15.283103 rounded to 3 decimal places? 15.283 What is 806.424 rounded to the nearest 10? 810 Round -62.1409 to the nearest 10. -60 Round 170485.7 to the nearest 10000. 170000 What is 1422.885 rounded to the nearest 100? 1400 What is -0.159536 rounded to 2 decimal places? -0.16 What is -2696.4071 rounded to the nearest ten? -2700 What is 28522.7 rounded to the nearest ten thousand? 30000 What is 151947100 rounded to the nearest one hundred thousand? 151900000 What is -0.001472173 rounded to six decimal places? -0.001472 What is 73116.46 rounded to the nearest 100? 73100 Round -2.8609 to 1 dp. -2.9 Round 867100 to the nearest 100000. 900000 What is -0.04198553 rounded to three decimal places? -0.042 Round 6338070 to the nearest ten thousand. 6340000 Round 38011800 to the nearest one million. 38000000 Round 0.0000007834 to 6 dps. 0.000001 What is 1.714073 rounded to the nearest integer? 2 Round 95222830 to the nearest one hundred thousand. 95200000 Round 326640.29 to the nearest 10000. 330000 Round 0.001125307 to 6 decimal places. 0.001125 Round -145.7137 to 1 dp. -145.7 Round 8644.69 to the nearest 100. 8600 What is 539145 rounded to the nearest 100000? 500000 Round 0.00009954972 to five decimal places. 0.0001 What is -6.14966 rounded to 2 dps? -6.15 Round 0.0006336281 to 6 decimal places. 0.000634 What is 21.662644 rounded to one dp? 21.7 What is -433893 rounded to the nearest 1000? -434000 What is 0.17819 rounded to 3 decimal places? 0.178 What is -0.0443364 rounded to 2 dps? -0.04 What is 4.021181 rounded to two decimal places? 4.02 What is -2781.152 rounded to the nearest 1000? -3000 What is -0.76396 rounded to one decimal place? -0.8 What is -0.00000142366 rounded to 7 decimal places? -0.0000014 What is 0.7521906 rounded to 2 decimal places? 0.75 What is -0.1472086 rounded to 2 decimal places? -0.15 What is -140381.322 rounded to the nearest ten thousand? -140000 What is 17151470 rounded to the nearest one hundred thousand? 17200000 What is -0.0000007438857 rounded to 7 decimal places? -0.0000007 What is -0.0008694235 rounded to 4 decimal places? -0.0009 Round 20085260 to the nearest 100000. 20100000 What is -2147671 rounded to the nearest 100000? -2100000 Round 1636206 to the nearest one thousand. 1636000 Round 0.000050049284 to six dps. 0.00005 Round 0.0001352993 to five decimal places. 0.00014 Round -12289180 to the nearest one hundred thousand. -12300000 What is 1827.098 rounded to 0 decimal places? 1827 What is 28662180 rounded to the nearest 100000? 28700000 What is -2.844181 rounded to 3 decimal places? -2.844 What is -593.226 rounded to the nearest integer? -593 What is -0.00096696 rounded to 4 dps? -0.001 Round -2405582000 to the nearest 1000000. -2406000000 Round -0.0012248505 to 6 decimal places. -0.001225 What is 0.053711 rounded to 4 decimal places? 0.0537 Round 13542.83 to the nearest one thousand. 14000 What is -0.002012221 rounded to four dps? -0.002 Round 0.0801913 to 4 dps. 0.0802 What is -0.0007414834 rounded to 5 decimal places?
{ "pile_set_name": "DM Mathematics" }
-1/59, -0.11? -0.7 What is the closest to 0.4 in 1/3, -1/11, 4, 0.1? 1/3 Which is the closest to 2? (a) 8 (b) -3 (c) 1 c Which is the closest to 1.1? (a) -38 (b) -3 (c) 0.2 (d) 0 c What is the closest to -3 in 4, -0.1, -5? -5 What is the nearest to -4 in 16, -5, 0.1, -2/5? -5 Which is the closest to -0.1? (a) 4 (b) 1/2 (c) -5 b Which is the nearest to 0.2? (a) -1/10 (b) -4 (c) -8/9 a Which is the closest to -2? (a) -2 (b) 0.2 (c) -10 a Which is the closest to 6? (a) 4/7 (b) 0.5 (c) -2.7 a Which is the closest to 1? (a) 7 (b) -3 (c) -4 (d) 2/3 d Which is the nearest to 5? (a) 83 (b) 2/13 (c) 0.3 c What is the nearest to 47 in -27, -5, -1? -1 Which is the closest to 2/5? (a) -3/5 (b) -1/8 (c) -1/2 b Which is the closest to 1? (a) -0.01 (b) -2 (c) -3 (d) -27 a What is the nearest to 0.2 in -1/2, -191, -3, 0.3? 0.3 Which is the closest to -0.1? (a) -0.5 (b) -2.1 (c) 190 a Which is the closest to -1/3? (a) -4 (b) 3 (c) -0.2 (d) 1 c Which is the nearest to -2/9? (a) 5 (b) -112 (c) 3 c Which is the nearest to 0? (a) -2 (b) 0.05 (c) -0.2 (d) 2/11 b Which is the nearest to -6? (a) 0 (b) -0.07 (c) -0.2 c What is the nearest to 2/25 in 0.3, -239, -4, -2? 0.3 What is the nearest to -4 in -4/5, 29, 5? -4/5 What is the closest to -0.1 in 1.3, -1/2, -0.4, -0.1? -0.1 What is the closest to -1 in 102, 0, -2/5? -2/5 Which is the nearest to 1? (a) 1/4 (b) 0 (c) 27 a What is the nearest to -1 in -0.3, 2/13, -1/7, -1.1? -1.1 Which is the nearest to 1? (a) -292 (b) 0 (c) 0.2 c Which is the nearest to -2/7? (a) 1/3 (b) 3 (c) 0.067 c What is the closest to 2 in -2, 1, 22? 1 What is the closest to -1 in -32/7, 3, 2/81? 2/81 What is the nearest to 7 in -2/9, -0.5, 3, -0.1? 3 What is the nearest to -0.2 in 0.5, 3, -3, 0.2? 0.2 Which is the nearest to 0.1? (a) 9/2 (b) 4/5 (c) -5 b What is the closest to 0.2 in -5, 3, -2, -4? -2 What is the nearest to 1 in -0.3, -2/7, -0.4? -2/7 Which is the closest to -2? (a) -1/2 (b) 9 (c) 2/15 (d) -1/5 a Which is the nearest to -0.4? (a) 2/13 (b) 2 (c) -18 a Which is the closest to 1/3? (a) 0 (b) -0.5 (c) -1 (d) 1 a Which is the closest to -1? (a) -3 (b) 15.4 (c) -0.3 (d) -2 c What is the closest to 5 in -5, 1.39, -6? 1.39 What is the nearest to -1/3 in 5, -4, 0.1, -0.1? -0.1 Which is the closest to 0? (a) 2/3 (b) -0.1 (c) -3/4 (d) -5/2 b Which is the closest to -0.2? (a) 0 (b) 1 (c) 6 a Which is the closest to 3? (a) -12 (b) -0.3 (c) -2/5 b What is the closest to -5 in -3, -5, 1, 3? -5 What is the nearest to -2 in 4, -5, 0.014, 1/2? 0.014 Which is the closest to 0? (a) -1 (b) 3/7 (c) 2 b What is the nearest to -27 in -12, 1.1, -0.1? -12 Which is the nearest to -4? (a) 0.4 (b) -4/3 (c) 3 (d) -0.2 b What is the closest to 1 in -0.2, -1/10, 0.1, -1/3? 0.1 Which is the closest to 54? (a) 0.3 (b) 0.2 (c) 1/2 c What is the closest to 2 in -5, 1, -1, -1/16? 1 What is the nearest to -3 in -0.5, -0.1, 1, -1/6? -0.5 What is the closest to -101 in -0.3, 4/9, 3? -0.3 What is the closest to 1 in -3, -2/9, 2/11, 12? 2/11 What is the closest to 7/4 in 5, 0.4, -1, 2? 2 What is the closest to -0.3 in 2, -2/11, 1/4? -2/11 What is the nearest to 1 in 0.5, -8, -0.11, 0? 0.5 What is the closest to -2 in 1/9, 5, -4, -3? -3 What is the nearest to -6 in -1/5, 0.3, -0.01? -1/5 Which is the nearest to 37? (a) -0.3 (b) -1/3 (c) 3/5 c What is the closest to -1 in -0.1, -2/7, -14, -2? -2/7 What is the nearest to -2 in -1/120, -0.4, 4? -0.4 What is the nearest to 3/2 in 0.4, -4, -3? 0.4 Which is the nearest to 2/3? (a) 0.5 (b) 0.2 (c) -0.8 a What is the nearest to -0.1 in -2, -345, -0.3, -3? -0.3 Which is the nearest to -0.1? (a) -12 (b) -12.7 (c) -2 c What is the closest to -0.0067 in 2/7, -1/6, 1/3, 5? -1/6 What is the closest to -6 in 3, 12, 3/4? 3/4 What is the nearest to 1 in -2, -33, -1/36, 3? -1/36 What is the nearest to -2/11 in 5, 1, 2? 1 What is the nearest to -6 in 0.3, 12, 5, 0.5? 0.3 Which is the closest to 0.05? (a) -1 (b) -3 (c) -0.07 (d) -2 c What is the closest to 2 in -0.3, 0.4, 0.1, -2? 0.4 What is the closest to -2 in 0.3, -5, -0.4, -2/9? -0.4 What is the nearest to 1/2 in 3, -2/13, -4? -2/13 What is the closest to 0.1 in 2/53, 8, 4/3, 5? 2/53 Which is the nearest to -6? (a) 3/8 (b) -2 (c) -7/6 (d) -1 b Which is the closest to 2/5? (a) -3 (b) 2/11 (c) -3986 b What is the nearest to 1/4 in -5, 0, -1? 0 Which is the nearest to 1? (a) 1921 (b) 1/4 (c) 1 (d) -3 c Which is the nearest to 2? (a) 2/27 (b) -2/5 (c) 57 a Which is the closest to 2/3? (a) 16 (b) -4 (c) -1/4 (d) -0.06 d What is the closest to -4/33 in 1/3, -1/4, 2/11, -3? -1/4 Which is the nearest to 0.1? (a) -8 (b) 5 (c) -2/7 (d) 0 d What is the nearest to -35 in 0, -2, 0.2? -2 Which is the nearest to -3? (a) 3 (b) -0.01 (c) -0.3 c Which is the closest to -26? (a) -0.4 (b) -5 (c) 1 b Which is the nearest to 0.2? (a) 2 (b) -3 (c) -13 a Which is the closest to 0.2? (a) 3 (b) 5 (c) -1/30 c Which is the nearest to -3/7? (a) -0.04 (b) -1/2 (c) -55 (d) 0 b What is the nearest to -1/4 in 97, 0.2, 1/6? 1/6 Which is the closest to -0.07? (a) -2/3 (b) -4 (c) 6 a What is the closest to 6 in -5/2, -1/7, -0.3, 1/14? 1/14 Which is the closest to 1? (a) -1 (b) -0.2 (c) 15 b Which is the nearest to 0.19? (a) 1 (b) 7 (c) 3/4 c Which is the nearest to 2/5? (a) 3 (b) -3/4 (c) -552 b Which is the nearest to -1/4? (a) -0.2 (b) 230 (c) -3 a What is the closest to 1/2 in -3, -2/3, 0.57? 0.57 Which is the closest to 0.1? (a) -2 (b) 2 (c) -30 (d) -0.2 d Which is the closest to 0.2? (a) 4 (b) -4 (c) -0.1 (d) 9/10 c Which is the closest to -3? (a) -10 (b) 2/11 (c) 0.1 c What is the closest to -0.17 in -3/8, 0.1, 0? 0 What is the nearest to 0 in -25, -5, 1/5, -8? 1/5 Which is the nearest to -0.05? (a) -1 (b) -5/3 (c) 0.4 c What is the closest to -2/9 in -0.1, -5, 0.38? -0.1 What is the closest to -2/29 in 1/3, 3, -3, 1? 1/3 Which is the closest to 46? (a) 4 (b) 2 (c) 5 c What is the nearest to -12/47 in 1, -3, -1/2? -1/2 Which is the nearest to -19? (a) -0.4 (b) -0.5 (c) 0 b Which is the closest to 0? (a) 12/5 (b) 1/2 (c) -1/4 (d) -0.03 d What is the nearest to 2/15 in -5, 1, -0.0239? -0.0239 What is the closest to -1 in -0.4, -5, 24, 2/11? -0.4 Which is the nearest to 0? (a) -5 (b) 0.4 (c) 0 (d) -329 c Which is the closest to 1/3? (a) 2 (b) 0.15 (c) 9.3 b What is the nearest to 1 in -5/6, -0.5, -4? -0.5 What is the closest to 2 in 9, -2/9, 0, 1? 1 Which is the closest to -0.21? (a) 2/11 (b) 0.3 (c) 5 (d) -0.02 d What is the nearest to 33 in 0, -4/5, 4/7? 4/7 Which is the closest to 2? (a) -4 (b) -1 (c) 3/8 c Which is the nearest to -2? (a) 2/7 (b) -11 (c) -5 (d) -1/5 d Which is the nearest to 0? (a) 5 (b) 0 (c) 3 b What is the closest to -32 in -2/15, 5, 2, -2/9? -2/9 What is the closest to 4280 in 0, 5, -2/5? 5 What is the closest to -9 in -1, -3, 5, -0.4? -3 What is the nearest to -4 in 0, -2/3, 2/29, -0.4? -2/3 Which is the nearest to -2? (a) 3/2 (b) 2 (c) 0.5 (d) -0.3 d What is the closest to -1 in -2/11, -1/2, -2, 44? -1/2 What is the nearest to -6/13 in -0.1, 10, 2/7, -3? -0.1 What is the closest to -2/5 in -2/11, 45/11, 4? -2/11 Which is the closest to 0.8? (a) -0.2 (b) 1 (c) 53 b What is the closest to -1 in -2/9, 0.3, -4, -0.1? -2/9 Which is the nearest to -0.08? (a) 4 (b) 17/4 (c) -7/2 (d) -0.1 d Which is the nearest to 0.16? (a) 1 (b) -4/7 (c) 2/13 c What is the closest to 0 in -2, -0.1, -0.2, -1/4? -0.1 What is the closest to -1 in -4/7, 0.086, -1/4? -4/7 Which is the nearest to 0? (a) 9 (b) 0.3 (c) -3/2 (d) -3 b Which is the nearest to -2? (a) 0.2 (b) 1/8 (c) -3 c Which is the nearest to -0.2? (a) 10/9 (b) 0.5 (c) 2/7 (d) 3 c What is the closest to 1/15 in -6/11, -2/3, -1/13? -1/13 Which is the closest to 0? (a) -0.6 (b) 0.1 (c) 1 (d) -3 b What is the closest to 0 in -3, 0, -0.14? 0 Which is the closest to 0.7? (a) 16 (b) 1/9 (c) -3 (d) 0 b What is the nearest to -1 in -3, -5, 0, -1/8? -1/8 Which is the closest to 0? (a) -3 (b) -108 (c) -1 c Which is the closest to -1/9? (a) -1.6 (b) 3 (c) -1/4 c What is the closest to -5/2 in 1/6, 1, -1/9, 3? -1/9 What i
{ "pile_set_name": "DM Mathematics" }
932988. 2, 3, 7, 29, 383 List the prime factors of 201686. 2, 31, 3253 What are the prime factors of 293785? 5, 58757 List the prime factors of 27060999. 3, 7, 59, 21841 What are the prime factors of 31204? 2, 29, 269 What are the prime factors of 1190007? 3, 7, 13, 1453 List the prime factors of 644637. 3, 7, 30697 List the prime factors of 29612702. 2, 7, 2115193 What are the prime factors of 1931005? 5, 379, 1019 List the prime factors of 1271641. 7, 389, 467 What are the prime factors of 2432253? 3, 61, 13291 What are the prime factors of 476770? 2, 5, 7, 139 What are the prime factors of 1620332? 2, 7, 1181 List the prime factors of 1331566. 2, 665783 What are the prime factors of 220795? 5, 44159 What are the prime factors of 1288870? 2, 5, 11, 11717 List the prime factors of 473506. 2, 11, 21523 What are the prime factors of 230004? 2, 3, 6389 List the prime factors of 5300805. 3, 5, 37, 9551 What are the prime factors of 577792? 2, 37, 61 List the prime factors of 1996611. 3, 181, 3677 List the prime factors of 313712. 2, 7, 2801 What are the prime factors of 219070? 2, 5, 19, 1153 What are the prime factors of 2180399? 13, 179, 937 List the prime factors of 26326132. 2, 7, 17, 7901 List the prime factors of 1308700. 2, 5, 23, 569 List the prime factors of 389783. 389783 List the prime factors of 311192. 2, 7, 5557 What are the prime factors of 1126255? 5, 13, 17327 What are the prime factors of 1389137? 97, 14321 What are the prime factors of 2416491? 3, 7, 11, 317 What are the prime factors of 4438155? 3, 5, 295877 List the prime factors of 1811493. 3, 431, 467 What are the prime factors of 261539? 41, 6379 What are the prime factors of 12260299? 12260299 List the prime factors of 14378172. 2, 3, 31, 38651 List the prime factors of 4521627. 3, 11, 45673 What are the prime factors of 15313057? 15313057 List the prime factors of 4355675. 5, 59, 2953 What are the prime factors of 54361? 54361 What are the prime factors of 9488350? 2, 5, 189767 What are the prime factors of 4137205? 5, 17, 48673 What are the prime factors of 1326731? 7, 17, 11149 What are the prime factors of 23839? 31, 769 What are the prime factors of 4921382? 2, 907, 2713 List the prime factors of 9802876. 2, 23, 127, 839 What are the prime factors of 528864? 2, 3, 7, 787 List the prime factors of 7897527. 3, 11, 26591 List the prime factors of 387148. 2, 96787 List the prime factors of 6972785. 5, 1394557 List the prime factors of 1521120. 2, 3, 5, 3169 List the prime factors of 1255269. 3, 418423 What are the prime factors of 203190? 2, 3, 5, 13, 521 List the prime factors of 2726325. 3, 5, 7, 577 What are the prime factors of 143292? 2, 3, 11941 What are the prime factors of 8921505? 3, 5, 71, 8377 List the prime factors of 546055. 5, 109211 What are the prime factors of 3546861? 3, 1182287 List the prime factors of 14757415. 5, 2951483 What are the prime factors of 17951979? 3, 19, 47, 6701 List the prime factors of 3338878. 2, 67, 24917 List the prime factors of 367982. 2, 17, 79, 137 What are the prime factors of 852897? 3, 107, 2657 What are the prime factors of 1443142? 2, 721571 List the prime factors of 856171. 17, 50363 List the prime factors of 2535388. 2, 37, 463 List the prime factors of 784842. 2, 3, 130807 List the prime factors of 4345. 5, 11, 79 What are the prime factors of 619384? 2, 139, 557 List the prime factors of 2167613. 7, 31, 1427 List the prime factors of 16245. 3, 5, 19 What are the prime factors of 9673364? 2, 31, 181, 431 List the prime factors of 7323424. 2, 131, 1747 List the prime factors of 1129043. 1129043 What are the prime factors of 1060015? 5, 11, 19273 What are the prime factors of 1704509? 19, 283, 317 List the prime factors of 7623731. 19, 307, 1307 List the prime factors of 12860880. 2, 3, 5, 41, 1307 List the prime factors of 2014617. 3, 11, 41, 1489 What are the prime factors of 1194458? 2, 47, 97, 131 List the prime factors of 1703423. 347, 4909 List the prime factors of 225143. 225143 List the prime factors of 1876329. 3, 7, 13, 29, 79 List the prime factors of 27819. 3, 11, 281 What are the prime factors of 497214? 2, 3, 23, 1201 List the prime factors of 372804. 2, 3, 47, 661 What are the prime factors of 732493? 732493 What are the prime factors of 5881406? 2, 167, 17609 List the prime factors of 700892. 2, 137, 1279 List the prime factors of 88182. 2, 3, 23, 71 What are the prime factors of 113258? 2, 56629 What are the prime factors of 1323210? 2, 3, 5, 7, 6301 What are the prime factors of 1223049? 3, 19, 43, 499 What are the prime factors of 386427? 3, 17, 7577 List the prime factors of 5481776. 2, 397, 863 What are the prime factors of 35323? 35323 What are the prime factors of 125114? 2, 11, 47 What are the prime factors of 12430814? 2, 11, 31, 1657 List the prime factors of 10829397. 3, 3609799 What are the prime factors of 608294? 2, 17, 17891 List the prime factors of 1845392. 2, 115337 List the prime factors of 12816698. 2, 67, 101, 947 What are the prime factors of 757409? 757409 List the prime factors of 684808. 2, 85601 List the prime factors of 20564442. 2, 3, 61, 2081 What are the prime factors of 298524? 2, 3, 24877 What are the prime factors of 834847? 13, 149, 431 What are the prime factors of 23017071? 3, 7, 11, 37, 2693 What are the prime factors of 23962? 2, 11981 What are the prime factors of 173252? 2, 43313 List the prime factors of 3615445. 5, 723089 What are the prime factors of 5962387? 5962387 List the prime factors of 113645. 5, 7, 17, 191 List the prime factors of 720146. 2, 7, 51439 List the prime factors of 340385. 5, 19, 3583 List the prime factors of 12241819. 17, 23, 131, 239 What are the prime factors of 625433? 61, 10253 What are the prime factors of 494334? 2, 3, 29, 947 What are the prime factors of 377811? 3, 7, 1999 What are the prime factors of 11069643? 3, 13, 283837 What are the prime factors of 31173319? 19, 1640701 List the prime factors of 1022641. 353, 2897 What are the prime factors of 369514? 2, 47, 3931 List the prime factors of 28094. 2, 11, 1277 List the prime factors of 1697293. 13, 137, 953 What are the prime factors of 87542? 2, 7, 13, 37 List the prime factors of 57993. 3, 13, 1487 List the prime factors of 86493. 3, 11, 2621 List the prime factors of 5906209. 421, 14029 List the prime factors of 14664719. 193, 75983 What are the prime factors of 9788323? 1409, 6947 List the prime factors of 3856285. 5, 257, 3001 List the prime factors of 3238552. 2, 404819 What are the prime factors of 2132405? 5, 11, 137, 283 List the prime factors of 26218686. 2, 3, 13, 157, 2141 What are the prime factors of 14218634? 2, 7109317 What are the prime factors of 3842377? 7, 11, 139, 359 What are the prime factors of 3093939? 3, 343771 What are the prime factors of 7837047? 3, 29, 10009 List the prime factors of 352877. 7, 50411 List the prime factors of 317972. 2, 79493 What are the prime factors of 6096133? 1583, 3851 What are the prime factors of 372559? 11, 3079 What are the prime factors of 75441? 3, 25147 List the prime factors of 144742. 2, 13, 19, 293 What are the prime factors of 3680568? 2, 3, 17, 31, 97 List the prime factors of 236229. 3, 7, 1607 What are the prime factors of 113601? 3, 19, 1993 What are the prime factors of 25823539? 7, 47, 11213 List the prime factors of 23934666. 2, 3, 7, 31, 593 What are the prime factors of 8607846? 2, 3, 13, 653 What are the prime factors of 2149224? 2, 3, 7, 11, 1163 List the prime factors of 1290237. 3, 13, 33083 List the prime factors of 524577. 3, 174859 List the prime factors of 226339. 113, 2003 What are the prime factors of 907020? 2, 3, 5, 5039 What are the prime factors of 803732? 2, 67, 2999 What are the prime factors of 362383? 7, 51769 List the prime factors of 372534. 2, 3, 29, 2141 List the prime factors of 1030292. 2, 307, 839 What are the prime factors of 343503? 3, 38167 What are the prime factors of 2226740? 2, 5, 111337 What are the prime factors of 141301? 141301 List the prime factors of 16195586. 2, 11, 857, 859 What are the prime factors of 23955871? 23955871 What are the prime factors of 680489? 680489 What are the prime factors of 3754286? 2, 19, 31, 3187 What are the prime factors of 778462? 2, 38
{ "pile_set_name": "DM Mathematics" }
7)/(510/(-20)))? 3 Suppose -6*s - 67 = -301. Calculate the remainder when 77 is divided by s. 38 Suppose 6*g - 2*g - 56 = 0. What is the remainder when g is divided by -5 + 45/(-18)*32/(-10)? 2 Suppose 570 = 51*j - 36*j. Calculate the remainder when 145 is divided by j. 31 Suppose -1712 = -5*r + 4*p, -2*p + 1281 = 5*r - 443. Suppose 4*j + 0*j = r. What is the remainder when j is divided by 22? 20 Let q(n) be the first derivative of -n**3/3 + n**2/2 + 3*n - 27. What is the remainder when 7 is divided by q(0)? 1 Let i = -7 + 27. Calculate the remainder when i is divided by (-4)/(-18)*((-864)/4)/(-6). 4 Suppose -y - 23 = -3*b, b - 3*b - 3*y = -19. What is the remainder when 108 is divided by b? 4 Suppose 2*q + 5*s = 7, -1 - 14 = 5*s. Suppose 0*o = -2*o + 4. Suppose -o*a + 18 = -20. What is the remainder when a is divided by q? 8 Let r(q) = -4 + 0*q - 12 + 7 + 4*q + 19. Let n be ((-6)/3)/(1/(-2)). Calculate the remainder when 103 is divided by r(n). 25 Suppose -10 = -5*r, 0 = 2*x - 4*x - 4*r + 54. What is the remainder when x is divided by 10? 3 Let o be (-50)/(-20) + 2/4. Suppose -s - g = -7, o*s + 5*g - 42 + 15 = 0. Let h(z) = -z**3 + 7*z**2 - 6*z + 9. What is the remainder when h(6) is divided by s? 1 Let d(a) = a**3 - a**2 - 3*a + 3*a + a + 7. Suppose -38*s = -29*s - 45. What is the remainder when d(0) is divided by s? 2 Suppose 3 = -2*a + 11. Suppose 2*k = 6 + 14. Calculate the remainder when k is divided by a. 2 Let k = -51 + 70. Let n = 66 + -31. What is the remainder when n is divided by k? 16 Let u(m) = -2*m**3 - 33*m**2 - 16*m + 38. Calculate the remainder when u(-16) is divided by 11. 5 Let j(t) = -67*t - 17. Calculate the remainder when 213 is divided by j(-1). 13 Let q = 6 - 1. Suppose 39 = 2*t - 47. What is the remainder when t is divided by (-3)/q - (-339)/15? 21 Let g(w) = -10*w - 305. Calculate the remainder when 5 is divided by g(-31). 0 Let w = 85 - -239. Suppose 384 = 5*m + d + 3*d, -4*m + d = -w. Let o = m - 55. What is the remainder when o is divided by 13? 12 Let p be 2/(-10) + 2/10. Suppose 0*l + 3*l - 12 = p. Suppose -l*v = -v - c - 20, -32 = -2*v - 4*c. Calculate the remainder when 29 is divided by v. 5 Suppose 106 - 392 = -13*c. What is the remainder when 324 is divided by c? 16 Let i = -58 - -61. Suppose -3*r - 9 = -2*r + 2*a, 5*a = -i*r - 22. What is the remainder when (-11)/(-3) - 4/6 is divided by r? 0 Let f(p) = -17*p - 4. Let t(m) = 34*m + 9. Let v(k) = -7*f(k) - 3*t(k). Let g be v(3). What is the remainder when 24 is divided by (3*g/(-12))/(-1)? 11 Calculate the remainder when (-3)/15 + 59792/185 is divided by 27. 26 Let k = 57 - 6. Calculate the remainder when k is divided by 19. 13 Suppose 8*n = 4 + 20. Suppose -t - n = 0, -4*t + 7*t - 13 = -2*a. What is the remainder when 19 is divided by a? 8 Let u = 2061 + -1765. What is the remainder when u is divided by 60? 56 Let b(s) = 16 + 0*s + 6*s**2 + s - 9 + s**3. Let u be b(-5). Suppose 7*v = 4*v + u. Calculate the remainder when 33 is divided by v. 6 Suppose 3*a - 11 = m + 11, 5*a - 50 = 5*m. Let u(t) = t**2 + 4*t - 2. Calculate the remainder when u(a) is divided by 6. 4 Let v = -212 - -322. What is the remainder when v is divided by 8? 6 Suppose -3*x + 2 = -4. Let g = 6135 + -6134. Calculate the remainder when x is divided by g. 0 Calculate the remainder when 92 is divided by (-84)/(-10)*(-10 - (-200)/12). 36 Let j(k) = 2*k**2 - 8*k - 16. What is the remainder when 159 is divided by j(8)? 15 Suppose 0 = -3*g + 2*g + 28. Suppose -o - 4 + 7 = 0. Let l(t) = 28*t - 1. Calculate the remainder when l(o) is divided by g. 27 Let l = -462 - -488. Calculate the remainder when l is divided by 9. 8 Suppose 6*b = 3*b + 15. Let n = b + 57. Let r(o) = 4*o. Calculate the remainder when n is divided by r(4). 14 Calculate the remainder when ((12844/39)/19)/(4/54) is divided by 74. 12 Let k(q) = -1. Let c(a) = 2*a + 24. Let d(t) = c(t) - 6*k(t). Calculate the remainder when d(7) is divided by 24. 20 Let v be (10/(-4))/(1/(-2)). Suppose 3 = -v*s + 83. What is the remainder when 126 is divided by s? 14 Suppose 198*k = 192*k + 102. Suppose -w - 5*i + 5 + 20 = 0, 2*w + 4*i - 74 = 0. Calculate the remainder when w is divided by k. 11 Suppose 13*p + 80 = 15*p. Calculate the remainder when 199 is divided by p. 39 Let u(g) = 51*g - 1. Let s be u(5). Suppose -2*l + 2*a + 2*a = -242, -a = -2*l + s. Suppose l = 2*m + m. Calculate the remainder when m is divided by 11. 10 Suppose 23*n = 6*n + 663. Calculate the remainder when n is divided by 12. 3 Let q(b) = -11*b + 26. Let d be q(4). Let t(o) = -5*o - 2. Let r be t(-2). Let g = r - d. What is the remainder when g is divided by 7? 5 Suppose -4*s = 2*k - 26, 5*s + 5 = -k + 6. Let b = -45 - -82. Calculate the remainder when b is divided by k. 16 Suppose -c + 2*g + 0 = -6, 0 = 4*c + g - 33. Suppose 0*j - c = -2*j. Suppose 148 = j*b - 104. Calculate the remainder when b is divided by 16. 15 Let s(b) = -b**3 - 8*b**2 - 10*b + 20. What is the remainder when 92 is divided by s(-6)? 4 What is the remainder when 377 is divided by 10*(-12)/(-8) + -1? 13 Let t(a) = 20*a. Let s be ((-4)/6)/((-34)/51). Suppose 0 = -5*i - 0*i - 3*d + 196, -5*i + 180 = -5*d. Calculate the remainder when i is divided by t(s). 18 Suppose 10 - 82 = -2*p. Let x = 10 - 4. Calculate the remainder when p is divided by 1 + 1 - x - -14. 6 Suppose 0 = 11*t + 82 - 225. What is the remainder when 1/2 - 123/(-2) is divided by t? 10 Suppose -7*q - 171 = -10*q. What is the remainder when q is divided by 32? 25 Let t = 38 + -42. Let l = 18 + t. Suppose 0 = f, 4*f = -0*a + a - 54. Calculate the remainder when a is divided by l. 12 Suppose -2*d - 11 = -309. What is the remainder when d is divided by 10? 9 What is the remainder when 32 is divided by 14/56 + (-105)/(-12) + 0? 5 Let d = -14 + 24. Let x = 90 + -78. Calculate the remainder when x/5*(-15 + 30) is divided by d. 6 Let o(y) = -y**3 + 3*y**2 + 3*y - 9. Let x be o(-4). Let s = 92 - x. Calculate the remainder when 2 is divided by s. 0 Let p be ((-3 - -1) + -8)/(-2). Let v = p - -22. What is the remainder when v is divided by 16? 11 Let a = -88 - -123. Let s(y) = 6 - 28 - 6 + 4*y. Calculate the remainder when a is divided by s(10). 11 Let c be (-10 + -20)*10/(-6). Let h = -42 + c. Calculate the remainder when 30 is divided by h. 6 Suppose -3*c - 2*t = -29, -9*c + 11*c - 10 = t. Calculate the remainder when 24 is divided by c. 3 Let a(n) = -n**3 - 6*n**2 - 5*n - 2. Let h be a(-6). Let u = h + -15. Suppose 4*i - 95 = 57. What is the remainder when i is divided by u? 12 Let u(r) = -r**2 - 28*r + 27. Let m = -37 + 15. Calculate the remainder when u(m) is divided by 32. 31 Calculate the remainder when 260 is divided by (-5)/((-10)/33)*216/81. 40 Suppose -l + 374 + 32 = 3*r, -5*r = -5. What is the remainder when l is divided by 2/2 + (6 - 3) + 41? 43 Let r = -376 + 581. What is the remainder when r is divided by 104? 101 Suppose -5*p + 4*q - 5 = 0, 4*q = -2*p - p + 29. Suppose 3 + 12 = p*h. Suppose -18 = -h*t + 2*t. Calculate the remainder when 13 is divided by t. 1 Let i = -184 - -218. Calculate the remainder when i is divided by 17. 0 Let k(h) = -h**3 - h**2 + h + 106. Calculate the remainder when k(0) is divided by 10. 6 What is the remainder when 16378/190 - 2/(-20)*-2 is divided by 11? 9 Let y = -451 - -461. Calculate the remainder when 105 is divided by y. 5 Suppose m + 1115 = 5*k, m - 657 = -3*k + 4*m. What is the remainder when k is divided by 45? 44 Let b(a) = -2*a**2 - 36*a - 61. Calculate the remainder when 11 is divided by b(-16). 2 What is the remainder when 198 is divided by -238*((-48)/(-216) + (-32)/63)? 62 Let g = -16 - -12. Let b be -2*2/6*-36. Let s = g + b. Calculate the remainder when s is divided by 7. 6 Suppose -3*w = 5*m - 24, 4*m = m - 2*w + 14. Let l = m + -9. What is the remainder when 107 + 1*(l + 7) is divided by 28? 27 Suppose -8 + 87 = 3*b + 2*g, 5*b - 129 = -4*g. What is the remainder when ((-18)/15)/(2/(-95)) is divided by b? 28 Let k = 0 + 3. Let m = 23 - 21. Suppose -5*u = -m*g + 13, -g - u + 2 = -1. What is the remainder when g is divided by k? 1 Suppose 3*m + 4*i - 6 = 0, 5*m - 18 = 4*m + 4*i. Calculate the remainder when 155 is divided by m. 5 Suppose 0 = 29*w + 7238 - 21709. Calculate the remainder whe
{ "pile_set_name": "DM Mathematics" }
st derivative of -8*y**6 - 4*y**3/3 + 427*y**2/2 + 123. Find the second derivative of b(a) wrt a. -960*a**3 - 8 Find the third derivative of 163*u**2 - 113*u**2 - 158*u**2 - u**5 wrt u. -60*u**2 What is the derivative of -192 + 14 - 94 + 15 - 189*m**4 - 51 wrt m? -756*m**3 Let c(t) be the first derivative of -61*t**3/3 - 48*t - 24. What is the derivative of c(y) wrt y? -122*y Let r(z) be the first derivative of 17*z**4/12 - 11*z**2/2 - 15*z + 7. Let p(c) be the first derivative of r(c). What is the first derivative of p(u) wrt u? 34*u Let v(r) = -537*r**3 - 4*r**2 + 5*r + 104. Let d(k) = 536*k**3 + 5*k**2 - 6*k - 100. Let n(z) = -5*d(z) - 6*v(z). What is the third derivative of n(c) wrt c? 3252 Let g be 16/6 + -1*12/18. Differentiate 38*v**2 - 38*v**g + 4*v**3 - 2 + v**3 wrt v. 15*v**2 What is the derivative of -1182*y + 306 + 1180*y + 397*y**2 - 1160 wrt y? 794*y - 2 Let z(i) = i**2 - 11*i + 4. Let k = -7 + 18. Let s be z(k). What is the third derivative of 6*q**2 - 3*q**4 + 0*q**s + q**2 wrt q? -72*q Let w(f) be the third derivative of 0 + 0*f**5 - 7*f**2 + 0*f + 5/6*f**3 + 0*f**4 + 1/60*f**6. Differentiate w(t) with respect to t. 6*t**2 Let h = 8 + 17. Suppose 2*c + o + 4*o = -h, c - 20 = 4*o. What is the derivative of x**4 - 4 + c*x**4 - 2*x**4 + 3*x**4 wrt x? 8*x**3 What is the second derivative of 23*b**5 + 7*b**5 - 8*b + 6 - 3*b**5 - 5*b**3 wrt b? 540*b**3 - 30*b Let j be 9/12 + 63/12. Let i = j - 4. Differentiate 4 + i*f - 4*f + 3*f wrt f. 1 Let u(o) be the third derivative of 169*o**9/504 + o**5/30 - 85*o**4/24 - 22*o**2 + 4. What is the third derivative of u(i) wrt i? 20280*i**3 Let c(g) be the second derivative of 0 + 0*g**4 - 5*g + 0*g**2 - 1/10*g**5 - 5/2*g**3. What is the second derivative of c(o) wrt o? -12*o Let w(z) be the third derivative of -29*z**7/105 - z**5/30 - z**3 + 2*z**2 + 39*z. Find the third derivative of w(y) wrt y. -1392*y Let p(q) be the first derivative of -178*q**6/3 - q**5/5 - q**3 + 16*q + 76. Find the third derivative of p(k) wrt k. -21360*k**2 - 24*k Let z(g) be the first derivative of 83*g**2/2 - 196*g - 54. What is the derivative of z(b) wrt b? 83 Let c(y) = 40*y**2 - 5*y - 71. Let t(p) = -20*p**2 + 2*p + 35. Let n(o) = 2*c(o) + 5*t(o). What is the first derivative of n(v) wrt v? -40*v Let b(l) be the second derivative of -1 - 2/15*l**6 + 0*l**2 - 5/3*l**4 + 1/4*l**5 + 0*l**3 + 3*l. Find the third derivative of b(x) wrt x. -96*x + 30 Suppose 2 - 22 = -4*a, -5*h + 85 = 5*a. Suppose 29 = -5*p - 2*i + 38, 3*i + 18 = 3*p. What is the second derivative of -12 - x**p + h - 9*x wrt x? -6*x What is the second derivative of 84 - 23 + 14*f + f**4 + 121*f**2 - 18 - 23 - 21 wrt f? 12*f**2 + 242 Let q = -1 + 11. What is the third derivative of q*h**5 + 0*h**3 - 100*h**2 + 0*h**3 + 90*h**2 wrt h? 600*h**2 Let x(f) = -f**2 - f - 2. Let m(h) = 14*h**2 + h - 83. Let k(y) = m(y) + x(y). Find the first derivative of k(s) wrt s. 26*s Let u = -11 - -11. Suppose 4*z - 2 = -2*r - 0, u = -5*z + r + 6. Differentiate -g**2 - 7 + 8*g**2 + z with respect to g. 14*g Let a(j) = -j**2 - j - 2. Let t(m) = -110*m**2 + 70. Let g(l) = 2*a(l) - t(l). Find the first derivative of g(q) wrt q. 216*q - 2 Let o(x) be the first derivative of 13*x**5/20 + x**4/3 + 14*x - 24. Let q(k) be the first derivative of o(k). Find the third derivative of q(s) wrt s. 78 Let i be 6/(-4) - 264/(-48). What is the first derivative of 39*u**i - 14 + 6 - 6 - 16*u**4 wrt u? 92*u**3 Let v(a) be the first derivative of 7*a**6/10 + 12*a**2 - 30*a - 13. Let c(s) be the first derivative of v(s). Differentiate c(u) with respect to u. 84*u**3 Let z(f) be the first derivative of -194*f**3/3 + 31*f + 22. Find the first derivative of z(u) wrt u. -388*u Find the second derivative of -1 + 513209*t**2 + 133*t - 640*t**4 - 513209*t**2 wrt t. -7680*t**2 Let v(d) = 11*d**3 - 11*d**2 + 2*d. Let h(a) = 22*a**3 - 23*a**2 + 5*a. Let x = 47 - 45. Let n(k) = x*h(k) - 5*v(k). What is the third derivative of n(w) wrt w? -66 Let i(s) = -1. Let m(j) = j + 4. Let f(x) = -6*i(x) + m(x). Let z be f(-6). Find the second derivative of -14*a**z - 10*a - 11*a + 25*a wrt a. -168*a**2 Let r(i) be the third derivative of -73*i**4/24 - 14*i**3/3 - 51*i**2. Differentiate r(x) with respect to x. -73 Let q(x) be the first derivative of -7*x + 5/2*x**2 - 12. Let f(o) = -5*o + 8. Let k(t) = 3*f(t) + 4*q(t). What is the first derivative of k(j) wrt j? 5 Let i be 65/26 + 2/4. What is the derivative of 0*y - 3*y**3 + 0*y - 8 - 4*y**i wrt y? -21*y**2 Let r(y) = -y. Let m(v) = 20*v + 3. Let h(w) = -m(w) - 5*r(w). Let p(i) = -31*i - 5. Let s(x) = 13*h(x) - 6*p(x). Differentiate s(a) wrt a. -9 Let z = 26 - 24. Let i(y) = -7*y**2 - 2*y - 16. Let g(v) = -7*v**2 - 3*v - 15. Let c(r) = z*g(r) - 3*i(r). Differentiate c(f) with respect to f. 14*f Let n(y) be the third derivative of 43*y**7/30 + 17*y**5/60 - y**3/3 + 288*y**2. Find the third derivative of n(g) wrt g. 7224*g Let v(u) = u**2 + 3*u - 6. Let o = 9 + -14. Let z be v(o). Differentiate z + 2*d**4 - 3 - 6 with respect to d. 8*d**3 Let s(w) = 347*w - 348*w + 0*w**2 + w**3 + 2*w**2. Let k be s(-2). Find the third derivative of 25*g - 3*g**5 - 25*g + 5*g**k wrt g. -180*g**2 Let j(o) = o**3 - o**2 - o. Suppose -3*m + 2 = -10. Let v(f) = 14*f**3 - 4*f**2 - 21*f. Let c(x) = m*j(x) - v(x). What is the second derivative of c(w) wrt w? -60*w Find the third derivative of 57*n - 57*n + 3*n**3 + 48*n**2 + 9*n**3 + 66*n**2 wrt n. 72 Let b(j) be the third derivative of 39*j**5/20 + j**4/12 + 4*j**3/3 + 69*j**2. Find the second derivative of b(v) wrt v. 234 Find the second derivative of -472*p + 485*p**2 + 3 + 23*p - 3 - 71*p**2 wrt p. 828 Let b(c) be the first derivative of 0*c + 9*c**3 + 2 - 19/2*c**2. Find the second derivative of b(g) wrt g. 54 Let n(x) = -14 - 7 + 25*x + 11. Let m(c) = -24*c + 9. Let y(r) = -2*m(r) - 3*n(r). What is the first derivative of y(f) wrt f? -27 Let z(i) = -i**2 - 11*i + 5*i**3 + 4*i**2 + 11*i. Let t(l) = -2*l**3 - l**2. Let q(c) = -5*t(c) - 3*z(c). What is the third derivative of q(y) wrt y? -30 What is the first derivative of -68*v**2 + 274 - 394 + 40*v**2 - 544*v**2 wrt v? -1144*v Suppose -2*x = -4 - 2. Let q = 12 - x. Find the third derivative of 14 - 2*f**3 - 14 + 9*f**3 + q*f**2 wrt f. 42 Let z(k) be the second derivative of 11*k**6/5 + k**5/20 - 8*k**4/3 - 52*k. What is the third derivative of z(q) wrt q? 1584*q + 6 Let h(d) be the second derivative of 0*d**5 + 0*d**3 + 0*d**4 + 11/15*d**6 + 9/2*d**2 + 0 - 29*d. What is the derivative of h(r) wrt r? 88*r**3 Let o(a) be the first derivative of 13*a**6/360 + a**5/30 - 8*a**3/3 + 4. Let c(u) be the third derivative of o(u). Find the second derivative of c(n) wrt n. 26 Let p(n) be the first derivative of n**3/3 - 28*n**2 - 145*n + 150. Differentiate p(h) with respect to h. 2*h - 56 Let y(x) = -2*x**2 - 10*x - 598. Let a(j) = 2*j**2 + 2*j + 598. Let m(s) = 4*a(s) + 5*y(s). Differentiate m(w) wrt w. -4*w - 42 Let t(z) = 0*z**3 + 6*z - 9 - z**3 + 5*z**2 + 14 + 0*z. Let n be t(6). Find the third derivative of -3*u**2 - 2*u**2 + 12*u**2 - 9*u**6 - n*u**6 wrt u. -1680*u**3 Let x(c) be the third derivative of 5*c**9/504 + 2*c**7/35 + c**5/30 + 7*c**3 - 25*c**2. What is the third derivative of x(g) wrt g? 600*g**3 + 288*g Suppose 0*h + 13 = 2*v - 3*h, -2*v - 5*h = 11. What is the third derivative of 8*x**6 + 11*x**6 - 4*x**v - 2*x**6 wrt x? 2040*x**3 Let r(d) = 74*d**2 - d - 225. Let x(t) = 146*t**2 - 3*t - 449. Let q(f) = -5*r(f) + 2*x(f). What is the derivative of q(s) wrt s? -156*s - 1 Let c(q) = 616*q**4 - q**3 - q**2 + 2. Let p(n) = -2*n**4 - n**3 - 2*n**2 - 1. Let i(d) = -c(d) + p(d). What is the third derivative of i(r) wrt r? -14832*r Find the third derivative of -21*j**2 + 159*j**2 + 25*j**2 - 76*j**3 + j**6 wrt j. 120*j**3 - 456 Let q be ((-4)/(-8))/((-1)/(-6)). Suppose q*o - 5 = 7. What is the derivative of o*t**2 + 4 - t**3 - 2*t**3 - 4*t**2 wrt t? -9*t**2 What is the second derivative of -2*y - 2409*y**2 + 2 - 2451*y**2 + 5079*y**2 wrt y? 438 Let m(q) = q**3 + q**2 + 1. Let k(f) = 8*f**3 + 4*f**2 + 7. Suppose 2*p - 11 = -1. Let t(g) = p*k(g) - 20*m(g). What is the first derivative of t(s) wrt s? 60*s**2 Let r be (0 - 2)/((-2)/4). Suppose 18 = r*d - 5*l, 4*d + 5*l + 0 = -2. What is
{ "pile_set_name": "DM Mathematics" }
5 = 175. Let u = -913 - -1635. What is the highest common factor of u and m? 38 Let c = 499 - 509. Let p(t) = t**3 + 12*t**2 - 4*t + 75. Let d be p(c). Calculate the highest common factor of d and 15. 15 Let p be (-18)/(-12)*-12 - -14 - -3*24. What is the greatest common factor of p and 3689? 17 Let i(l) = -l**2 + 2*l + 19. Let h be i(5). Suppose 2*v - 104 = -2*v + 4*c, 5*v + h*c - 94 = 0. Calculate the greatest common divisor of 2 and v. 2 Suppose 10336 = c + 135*c. Suppose 3*u = -2*u + 190. What is the highest common divisor of u and c? 38 Suppose 12*v = 18*v - 1518. Suppose 0 = -64*g + 53*g + 363. Calculate the highest common factor of g and v. 11 Let u = 284 + 472. Suppose 872 = -14*c + 19*c - 4*d, 4*d = -3*c + 472. What is the greatest common factor of u and c? 84 Suppose 4*r + 2*x - 76 = 0, 28 = -3*r - 4*x + 80. Suppose -6*s + 16 = -r. Let c be ((-27)/(-6))/((-1)/(-2)). Calculate the highest common factor of c and s. 3 Suppose -3*x - 3*a + 18 = -0*a, 0 = -x + 2*a + 6. Suppose -118 = x*i - 286. What is the highest common divisor of i and 7? 7 Suppose 259 + 291 = 50*p. What is the greatest common divisor of 209 and p? 11 Let p(r) = -r**3 - 2*r**2 + r + 2. Let v = 183 + -187. Let j be p(v). Calculate the greatest common factor of j and 130. 10 Suppose 2*x - 4*b - 13 = 9, -6*b - 24 = 0. Let l be (-35 - 1)/((-15)/20). Calculate the highest common divisor of l and x. 3 Suppose -3*v = -3*d - 29921 + 102389, -2*d + 4*v = -48302. Calculate the highest common factor of 37 and d. 37 Suppose -840 = 2*m - 7*m. Suppose -5*n + p = -297, 123 = 7*n - 5*n + p. Suppose -11*k + 3 = -10*k, -2*d + n = 4*k. What is the highest common factor of m and d? 24 Let c = 61 + -25. Let r = 50 + -54. Let l be (r/10)/((-4)/360*3). What is the highest common divisor of c and l? 12 Let x(z) = -z**3 - 7*z**2 - 2*z + 1. Let u be x(-6). Let n = u + 29. Suppose n*d + 2*d = 72. What is the highest common factor of 18 and d? 9 Let b(s) = 73*s**2 + 3*s + 2. Let y = 38 - 39. Let f be b(y). Let p(h) = 2*h - 9. Let n be p(9). What is the highest common divisor of n and f? 9 Let n = 16670 + -16649. Suppose -6*h + 2*h + 112 = 0. Calculate the highest common divisor of h and n. 7 Let u = -4773 - -6019. What is the greatest common factor of 98 and u? 14 Let x = -66 - -98. Let a = 35 - x. Let b be (-10)/105*a - 774/(-14). What is the greatest common divisor of 11 and b? 11 Let t(k) = 2*k**3 - 9*k**2 + 3*k + 4. Let s be t(4). Let x(h) = -h**3 - h**2 + 4*h + 63. Let f be x(s). What is the greatest common divisor of 21 and f? 21 Let h be (-2)/2*(2 + 4 + -37). Let v = 88 + -88. Let l be -1 - h/(-1)*(v - -1). Calculate the greatest common factor of l and 50. 10 Let y be (-12)/42 - 3754/(-7). Suppose 20123 = -75*t + 257*t - 16459. What is the greatest common divisor of t and y? 67 Suppose 629*n - 3*x - 21800 = 625*n, -5*x + 20 = 0. Calculate the greatest common divisor of 133 and n. 133 Let u = 6889 + -6695. Calculate the highest common factor of u and 10. 2 Suppose 3*w = 5*h + 144, 2*w + 4*h + 205 = 279. Let l be (-1)/2 + (-5512)/(-16). What is the highest common divisor of l and w? 43 Suppose 12*i = 10*i + 8. Let u be i/((-60)/543) - 1/(-5). Let g = 61 + u. Calculate the greatest common divisor of g and 225. 25 Suppose 4*a + a - 3*f - 624 = 0, -498 = -4*a + 3*f. Suppose 0 = -2*j - 2475 + 2529. Calculate the highest common factor of j and a. 9 Suppose 2384 = -9*m - 7*m. Let z = m + 297. Calculate the greatest common factor of 4 and z. 4 Suppose 14*i + 30 = 4*i. Let c be 1/(-3 - ((-2)/(-378) + i)). Let l = -49 - c. Calculate the greatest common divisor of l and 35. 35 Suppose 4*d - 45432 = -4*p, 4*p - 4*d = 43573 + 1811. What is the highest common factor of 88 and p? 88 Let l be -2*(-3)/(-3) - -16. Suppose -h + 105 = -w, 0 = -3*h + w - 0*w + 315. Suppose 0 = -427*y + 424*y + h. Calculate the greatest common factor of y and l. 7 Suppose 7*w - 19*w = 1920. Let x be (-1 + w/(-15))*3. Calculate the highest common factor of 551 and x. 29 Let x(b) = -17*b**2 + 598*b - 87. Let h be x(35). Suppose 0 = 4*q - 34 - 74. What is the highest common divisor of q and h? 9 Let f(n) = -n**3 - 15*n**2 + 2*n + 2. Let o be f(-15). Let w = o + 43. Let s be (-7 - w/(-2)) + (-43)/(-2). What is the greatest common factor of s and 198? 22 Let b be (0 + 3688/14)/(44/154). Let j = b + -702. What is the greatest common factor of 100 and j? 20 Let p(o) = o**3 + o + 29. Let t be p(0). Let l be -3 - -4 - (4 + -340). Let k = l + -221. What is the highest common factor of k and t? 29 Suppose 2*h = 3*r + 110, 0 = 5*h - 0*r + r - 326. Calculate the greatest common factor of 6208 and h. 64 Let t(l) = l**2 + 44*l + 199. Let h be t(-5). Let g(k) = -k - 4. Let n be g(-5). Let v be h + 34 + -3*(n + 0). What is the greatest common divisor of v and 35? 35 Let u be 30/(-12)*40936/(-35). Calculate the highest common factor of u and 1032. 172 Suppose 28*q + 2*q - 4182 = 258. What is the greatest common divisor of 7437 and q? 37 Suppose 0 = -5*l + 4*l + 16. Suppose -4*c = -0*c - l. Suppose -23*h - 1 + 34 = -13. Calculate the greatest common factor of h and c. 2 Let x be (-8 + 7)*4 + (312 - 2). What is the highest common divisor of 68 and x? 34 Suppose 0 = -271*k + 293*k - 264. Let u(i) = 2*i**2 - 4*i. Let f be u(6). Calculate the highest common divisor of k and f. 12 Let w(k) = -k**2 + 18*k - 27. Let v be w(16). Suppose -v*y = -0*y - 365. Calculate the greatest common divisor of 73 and y. 73 Let o = -36 - -64. Let b(y) = -2*y**3 + 10*y**2 + 18*y + 6. Let w = -2467 - -2473. Let n be b(w). What is the highest common divisor of o and n? 14 Suppose 4 = -13*r + 69. Suppose -9*i + 707 = -4*i + 4*s, 4*i - 582 = r*s. What is the highest common divisor of i and 44? 11 Let k = -22010 - -22310. Calculate the greatest common factor of 1308 and k. 12 Let i be (-1)/(-4) + (-1)/((-4)/(-985)). Let y = -245 - i. Calculate the greatest common factor of y and 1. 1 Suppose 0 = 100*y - 98*y + 16. Let b be 12 - (y/10)/((-8)/20). Suppose -r - 2*r + 30 = 0. What is the highest common factor of r and b? 10 Let r(z) = 2*z**3 - 2*z**2 - 77*z + 230. Let c be r(4). Let n(s) = s**3 + 4*s**2 - 6*s - 6. Let m be n(-4). What is the highest common divisor of c and m? 18 Let u(l) = -l - 52. Let g be u(9). Let r = g + 61. Suppose -3*s + 1 + 215 = r. What is the highest common divisor of s and 9? 9 Suppose 27*z = 1739 + 1825. Calculate the greatest common divisor of 132 and z. 132 Let h be (17/(-3))/((-32)/192). Let f = 292 - 153. Let x = 241 - f. Calculate the greatest common divisor of x and h. 34 Suppose -11*i = 11*i - 968. Let j be (-11)/(i/(-72)) - (3 - 0). Calculate the greatest common factor of j and 15. 15 Let s = -4721 + 4901. What is the greatest common divisor of s and 132? 12 Suppose 0 = 5*d + 374 + 106. Let a = d - -135. Let c be (-19)/(-3) + 0 + 26/a. What is the highest common factor of c and 49? 7 Let z = -132 - -222. Suppose -27 = -3*f + z. What is the highest common factor of 156 and f? 39 Let g = -37 - -45. Let d(s) = g*s + 33 - 16*s - 3*s**2 + 4*s**2 - 7. Let n be d(10). Calculate the highest common factor of n and 414. 46 Suppose -2 = k, -c - k - 19 = -98. What is the greatest common factor of c and 369? 9 Let l(y) = -2*y**3 + y**2. Let c be l(-2). Let r be 2/c*508 - 4/(-20). Let f = -48 + r. What is the greatest common factor of 27 and f? 3 Let n = 911 + -614. Suppose 176 = -289*r + n*r. What is the greatest common factor of 14 and r? 2 Let v be 2/(-5) + 34/10. Suppose v*n - 147 = -18. Suppose -3*h - n = -163. What is the highest common divisor of 16 and h? 8 Suppose -789 = -20*o + 2071. Suppose -473 = -14*h + o. Calculate the greatest common factor of 198 and h. 22 Suppose -2*g + 0*g = 2*g. Suppose -4*v - 3*c + 188 = -124, g = -5*c - 20. What is the highest common divisor of v and 27? 27 Suppose -5*a + 28 = 2*j + 7, -17 = -3*a + j. Suppose 0 = -5*u - 2*y + 157, -a*u = -5*y - 123 - 62. What is the greatest common divisor of u and 77? 11 Let u be (522/464*(-36)/1)/(1/(-8)). Calculate the highest common factor of u and 228. 12 Let a = -567 + 567. Suppose a = 175*m - 178*m + 15. Suppose -7*p = -4*p - 30. What is the greatest common divisor of p and m? 5 Let v be (50/(-45))/5 - ((-11622)/54 - 1). What is the greatest common factor of 270 and v? 54 Let h
{ "pile_set_name": "DM Mathematics" }
14, what is -2cc + -1a5? -493 In base 5, what is 11011423 + -10? 11011413 In base 16, what is 1 + -2c288? -2c287 In base 15, what is -bd + 2dd? 220 In base 3, what is 10010110 + 10102? 10020212 In base 10, what is -30 + -50132? -50162 In base 12, what is -a - 2260? -226a In base 7, what is -2421 - -26? -2362 In base 11, what is 2206 - 1? 2205 In base 11, what is -4257 - -1? -4256 In base 9, what is 636626 + 0? 636626 In base 12, what is 201 + -11a0? -b9b In base 13, what is 520ba - 4? 520b6 In base 3, what is 11 - 111120211? -111120200 In base 10, what is -1 - 7895? -7896 In base 14, what is b6b6 - 2? b6b4 In base 10, what is 19882 + 1? 19883 In base 11, what is -1174653 - -5? -1174649 In base 15, what is -5 + -1c620? -1c625 In base 7, what is -5 - 212246? -212254 In base 15, what is -9e14 + 7? -9e0c In base 2, what is -10100011 - -110010011? 11110000 In base 13, what is 2c - -3c7? 426 In base 6, what is 10502 + 5? 10511 In base 2, what is 1011011110001110010 + 101? 1011011110001110111 In base 6, what is 4 - 3301020? -3301012 In base 4, what is -230 - 30201220? -30202110 In base 3, what is 10221122211 + 10? 10221122221 In base 2, what is 1001001010000 + 11? 1001001010011 In base 5, what is -341441 - -30? -341411 In base 3, what is -122200 + -1002011? -1201211 In base 16, what is -12b7 + -b? -12c2 In base 10, what is 1782 + -490? 1292 In base 14, what is -100 + d6b? c6b In base 16, what is 12dc - 5? 12d7 In base 3, what is 21022210121121 + -2? 21022210121112 In base 6, what is -3 - -1551512? 1551505 In base 3, what is -1210010102 + 10? -1210010022 In base 4, what is 2033200 + -120? 2033020 In base 2, what is 1011011011 - -10101001? 1110000100 In base 5, what is -113 + -234314? -234432 In base 14, what is -941b - 1? -941c In base 9, what is -15 - 2305? -2321 In base 6, what is 2032 - 4? 2024 In base 10, what is -147042 - 9? -147051 In base 4, what is -1 + 212211131? 212211130 In base 12, what is 2 + 47102? 47104 In base 6, what is 1045 + -10330? -5241 In base 13, what is -371 + 1cc2? 1951 In base 3, what is 11010021 - 1201? 11001120 In base 10, what is 2 - -385501? 385503 In base 3, what is -121 + -1221212? -1222110 In base 8, what is 23214 - -10? 23224 In base 16, what is -166b5 - 1? -166b6 In base 5, what is -120404 + -44? -121003 In base 6, what is 0 - -2551340? 2551340 In base 7, what is -3626 + -23? -3652 In base 8, what is 17 - 13327? -13310 In base 2, what is 0 - 11100001000110001? -11100001000110001 In base 2, what is 11100101010010 - 0? 11100101010010 In base 7, what is 1502 + 4135? 5640 In base 3, what is -11101122 + -10? -11101202 In base 15, what is -38b - -1d? -36d In base 11, what is 32 - -531? 563 In base 8, what is 4 - 55037? -55033 In base 6, what is -30250042 + 4? -30250034 In base 8, what is 3652477 - 1? 3652476 In base 2, what is -1110 + 11011001001111010? 11011001001101100 In base 15, what is -126e0 + d? -126d2 In base 3, what is 1012100122 + -121? 1012100001 In base 5, what is 142 - 2140134? -2134442 In base 9, what is -12 - 557055? -557067 In base 7, what is 351 - -230? 611 In base 3, what is 122201112210 - -1? 122201112211 In base 5, what is 21 + 104212? 104233 In base 15, what is -4 + -90c? -911 In base 9, what is 8 - 81865? -81856 In base 9, what is 4042 + -13? 4028 In base 15, what is -5 - -10c14? 10c0e In base 16, what is 3990 + -27? 3969 In base 2, what is 101110010100111110110 - 100? 101110010100111110010 In base 4, what is -11 - 3300131010? -3300131021 In base 9, what is -24357 + 36? -24321 In base 5, what is 3204 - -111? 3320 In base 5, what is 0 - 2303430? -2303430 In base 10, what is 70 - -6566? 6636 In base 8, what is -33667 - -5? -33662 In base 13, what is -ac3 + -182? -c75 In base 6, what is -13432 + -353? -14225 In base 13, what is -2782a - 8? -27835 In base 3, what is 101 + 22001022021? 22001022122 In base 13, what is 47c - -45a? 909 In base 2, what is 1001101000001011 - 10110? 1001100111110101 In base 13, what is -27b - 7b5? -a63 In base 6, what is -1 - 244? -245 In base 15, what is 331a - -2? 331c In base 2, what is 10111001010010111 - 100? 10111001010010011 In base 15, what is 19790d - 4? 197909 In base 16, what is -a5f + 2dc? -783 In base 15, what is 3845 + 12? 3857 In base 5, what is -13 - -103331121? 103331103 In base 4, what is 0 - -1003321031? 1003321031 In base 10, what is -4860 + -33? -4893 In base 9, what is 38475 + -13? 38462 In base 3, what is 1110011 + 1101001? 2211012 In base 9, what is -4 - -156105? 156101 In base 12, what is 477 - 1a7? 290 In base 9, what is -5 + -188425? -188431 In base 3, what is 11 + -201110? -201022 In base 3, what is 2 + 11010020100? 11010020102 In base 4, what is -1303103013 + 10? -1303103003 In base 3, what is 1 + -11022202121? -11022202120 In base 13, what is -33 - -8ab? 878 In base 7, what is 463 + -45001? -44205 In base 12, what is 163 + -6a8? -545 In base 4, what is 2121132 + 1? 2121133 In base 15, what is -6 - -2c8b? 2c85 In base 9, what is 6732 + 38? 6771 In base 7, what is -1616 - -24? -1562 In base 6, what is -1114 - 1340? -2454 In base 5, what is 20 - 12304? -12234 In base 6, what is -240115 + 213? -235502 In base 11, what is -5 - -846823? 846819 In base 6, what is -30204332 + -5? -30204341 In base 13, what is -2 + 16b5c2? 16b5c0 In base 11, what is -507922 + 4? -507919 In base 16, what is 1754f + 3? 17552 In base 14, what is 66 - 4332? -42aa In base 16, what is 178 - -11af? 1327 In base 11, what is -1777a + 0? -1777a In base 4, what is 10 - -2123103? 2123113 In base 2, what is -110000101000 + 11000110000? -10111111000 In base 13, what is -1 - -423c2? 423c1 In base 12, what is 42 + -213b5? -21373 In base 8, what is -11262030 + -4? -11262034 In base 13, what is 32 - 396? -364 In base 11, what is 499 + -10? 489 In base 5, what is 1140 + 144231? 200421 In base 13, what is -170 + 53? -11a In base 2, what is -101100011 - 10? -101100101 In base 5, what is -3 + 432321? 432313 In base 8, what is -4 - -107577? 107573 In base 7, what is 1104 + 114? 1221 In base 11, what is -805483 - -2? -805481 In base 13, what is -4 + 335a40? 335a39 In base 16, what is -185 - -22? -163 In base 15, what is 1a3 - 61? 142 In base 5, what is 4 + -230203434? -230203430 In base 3, what is 2 - -112200010020? 112200010022 In base 8, what is 6740 - -107? 7047 In base 11, what is -30 + -6276? -62a6 In base 10, what is -9432481 - 1? -9432482 In base 9, what is 2 - 646? -644 In base 5, what is 4402032 - 10? 4402022 In base 4, what is -1032 - 2012120? -2013212 In base 13, what is 45 + 336a? 33b2 In base 14, what is -29117 + -13? -2912a In base 12, what is -5 - 20558? -20561 In base 8, what is 1522 + 305? 2027 In base 12, what is 4 + 1a8a4? 1a8a8 In base 2, what is -11100110110101111 - 100110? -11100110111010101 In base 14, what is -68 - 909? -973 In base 10, what is -4 - -1195? 1191 In base 3, what is 101221 + -1020122? -211201 In base 4, what is 312011 - -1223? 313300 In base 7, what is -150460 - 24? -150514 In base 16, what is -237 - 2e? -265 In base 15, what is b03 - 2c9? 829 In base 12, what is -171 + -3b02? -4073 In base 11, what is 1438 - -385? 1812 In base 2, what is 101110001 + 11111101? 1001101110 In base 8, what is 32165 + 4? 32171 In base 11, what is 1 - 116134? -116133 In base 12, what is 93b + -44b? 4b0 In base 11, what is -2a211 + -25? -2a236 In base 8, what is 262042 - -2? 262044 In base 11, what is 31250 + 2? 31252 In base 6, what is -215 - -40? -135 In base 4, what is -12 - 32223? -32301 In base 11, what is -97 - 396? -482 In base 13, what is 2887 + 4? 288b In base 9, what is 72 - 11702? -11620 In base 3, what is 12 + -10201111122? -10201111110 In base 4, what is -333331003 + 10? -333330333 In base 14, what is b + -10266? -10259 In base 16, what is -9 - dc0d? -dc16 In base 11, what is 66 - -468? 523 In base 7, what is -326435 + 35? -326400 In base 10, what is 242888 - -1? 242889 In base 13, what is 2a1b + -1c? 29cc In base 11, what is -a87 + -112? -1099 In base 10, what is 101 + -222? -121 In base 14, what is -769 + 263? -506 In base 3, what is 10 + -221110011? -221110001 In base 6, what is 3202 + -140? 3022 In base 6, what is 3404354 + -31? 3404323 In base 12, what is -6823 + 8? -6817 In base 9, what is 111 + -13325? -13214 In base 11, what is -3 - -10117a? 101177 In base
{ "pile_set_name": "DM Mathematics" }
und 0.00417 to 2 dps. 0 Round -10960 to the nearest one thousand. -11000 Round 831350 to the nearest ten thousand. 830000 What is -36970 rounded to the nearest 1000? -37000 What is -85535 rounded to the nearest 1000? -86000 What is 0.0332 rounded to three decimal places? 0.033 Round -468 to the nearest 10. -470 What is 0.013112 rounded to four decimal places? 0.0131 Round 0.163012 to 2 decimal places. 0.16 What is -10350000 rounded to the nearest 100000? -10400000 What is 3.044 rounded to 1 dp? 3 What is 1.412 rounded to 2 decimal places? 1.41 Round -1144000 to the nearest 10000. -1140000 Round 33440000 to the nearest one million. 33000000 Round 241.8 to the nearest 10. 240 Round -0.000248 to four decimal places. -0.0002 What is -0.06543 rounded to 2 decimal places? -0.07 What is 18.02 rounded to the nearest 10? 20 Round 1.308 to 1 decimal place. 1.3 What is 0.0000022408 rounded to seven dps? 0.0000022 What is 5.271 rounded to 2 decimal places? 5.27 What is -4.68 rounded to zero decimal places? -5 Round 0.091852 to three decimal places. 0.092 What is -0.000004436 rounded to 7 decimal places? -0.0000044 What is -0.00002791 rounded to 6 decimal places? -0.000028 Round -2249 to the nearest 100. -2200 Round -0.0000865 to 5 decimal places. -0.00009 What is -121.861 rounded to the nearest 10? -120 Round 2118.3 to the nearest ten. 2120 What is 0.0318 rounded to three dps? 0.032 Round -870000 to the nearest ten thousand. -870000 What is 0.0000244933 rounded to seven decimal places? 0.0000245 Round -0.0000024287 to 6 decimal places. -0.000002 Round 0.0008317 to five decimal places. 0.00083 What is 0.000052926 rounded to seven decimal places? 0.0000529 Round 6451 to the nearest one thousand. 6000 What is -3440000 rounded to the nearest one million? -3000000 What is 0.026038 rounded to two decimal places? 0.03 Round 0.005482 to four decimal places. 0.0055 Round -1460 to the nearest 10000. 0 What is 0.00011174 rounded to five dps? 0.00011 Round 0.00958 to 3 dps. 0.01 What is -0.00022489 rounded to 5 decimal places? -0.00022 Round -308300 to the nearest 100000. -300000 Round -297000 to the nearest 100000. -300000 What is -706.7 rounded to the nearest one hundred? -700 What is 0.0012525 rounded to five decimal places? 0.00125 What is -388700 rounded to the nearest one million? 0 What is -101179 rounded to the nearest one thousand? -101000 What is -630.91 rounded to the nearest 10? -630 What is 29.044 rounded to 1 dp? 29 What is 246.01 rounded to 0 decimal places? 246 Round -0.2856 to 2 decimal places. -0.29 Round 564.1 to the nearest one hundred. 600 What is 131.02 rounded to the nearest integer? 131 Round 10750000 to the nearest 1000000. 11000000 What is 0.001958 rounded to 3 decimal places? 0.002 What is 0.0000001313 rounded to seven decimal places? 0.0000001 What is 0.4754 rounded to one dp? 0.5 Round 0.000069823 to 6 decimal places. 0.00007 Round 0.000643 to five decimal places. 0.00064 Round 1855700 to the nearest 100000. 1900000 Round 23873 to the nearest 100. 23900 Round -1530 to the nearest one thousand. -2000 What is -3084000 rounded to the nearest one hundred thousand? -3100000 Round -0.34943 to one decimal place. -0.3 Round 0.000007262 to 6 dps. 0.000007 Round -0.002615 to four dps. -0.0026 Round -0.03038 to 3 decimal places. -0.03 What is -1260000 rounded to the nearest 100000? -1300000 Round -0.316 to the nearest integer. 0 Round 3.009 to 1 decimal place. 3 Round -0.000000439 to 7 decimal places. -0.0000004 What is 9.687 rounded to one decimal place? 9.7 Round 79.555 to one decimal place. 79.6 Round -32.119 to one dp. -32.1 What is 0.02032 rounded to 3 decimal places? 0.02 Round -0.000011007 to 6 decimal places. -0.000011 What is 19683000 rounded to the nearest 1000000? 20000000 What is 516800 rounded to the nearest 10000? 520000 What is -509.734 rounded to zero decimal places? -510 Round -183900 to the nearest ten thousand. -180000 Round 107.64 to the nearest ten. 110 Round -1553220 to the nearest 100000. -1600000 Round 1633 to the nearest 100. 1600 What is 41402000 rounded to the nearest 1000000? 41000000 Round 60.55 to the nearest integer. 61 What is -81000 rounded to the nearest ten thousand? -80000 What is 0.00000675 rounded to six decimal places? 0.000007 What is 0.0000006502 rounded to 7 dps? 0.0000007 Round 0.0046694 to 4 decimal places. 0.0047 What is 2.11 rounded to the nearest integer? 2 What is 1340900 rounded to the nearest 10000? 1340000 Round 0.000496 to five decimal places. 0.0005 Round -0.0004564 to 4 dps. -0.0005 Round -0.00030115 to 5 dps. -0.0003 What is -9820.1 rounded to the nearest 10? -9820 Round -0.0000000413 to seven dps. 0 Round -0.002162 to four decimal places. -0.0022 Round -155.45 to the nearest ten. -160 Round -1025.33 to the nearest 100. -1000 Round -196.8 to the nearest 10. -200 What is 0.000816 rounded to four dps? 0.0008 Round -0.0000019696 to seven decimal places. -0.000002 Round 1747000 to the nearest 100000. 1700000 Round 1255.5 to the nearest 10. 1260 Round -1368 to the nearest one hundred. -1400 What is -68600 rounded to the nearest ten thousand? -70000 What is 0.0529 rounded to three decimal places? 0.053 What is -171.9 rounded to the nearest 10? -170 Round -0.00005948 to 5 decimal places. -0.00006 What is 3.183 rounded to one decimal place? 3.2 What is -0.000017076 rounded to 6 decimal places? -0.000017 Round 0.0000365835 to seven decimal places. 0.0000366 Round -29.332 to the nearest 10. -30 What is -399.14 rounded to the nearest 10? -400 Round 82084 to the nearest 100. 82100 What is 0.0009151 rounded to 4 decimal places? 0.0009 Round 0.0000104466 to 6 decimal places. 0.00001 Round -3.494 to 1 dp. -3.5 Round 0.0180821 to 3 dps. 0.018 Round 0.0001041 to six dps. 0.000104 What is -6479 rounded to the nearest 10? -6480 What is -432.5 rounded to the nearest 10? -430 What is -14210200 rounded to the nearest 100000? -14200000 Round 0.01345 to 3 decimal places. 0.013 Round -0.00018204 to 5 dps. -0.00018 Round 7320000 to the nearest one hundred thousand. 7300000 Round -0.02419 to three dps. -0.024 Round 0.0000143038 to seven decimal places. 0.0000143 What is 0.00011079 rounded to 6 dps? 0.000111 Round -3806 to the nearest one hundred. -3800 Round -753180 to the nearest 100000. -800000 Round -947.1 to the nearest 100. -900 What is -0.0000031787 rounded to seven dps? -0.0000032 What is 0.000462 rounded to three decimal places? 0 What is 0.000000363 rounded to 7 dps? 0.0000004 Round -5090760 to the nearest one hundred thousand. -5100000 What is -8410 rounded to the nearest 1000? -8000 What is -0.0000002756 rounded to seven dps? -0.0000003 What is 4560 rounded to the nearest 1000? 5000 Round 0.02247 to three dps. 0.022 Round 907400 to the nearest 1000000. 1000000 Round 0.00037756 to 5 dps. 0.00038 What is -0.002191 rounded to 4 dps? -0.0022 What is -0.000024107 rounded to seven decimal places? -0.0000241 What is -0.078279 rounded to 2 dps? -0.08 Round -0.000011186 to six dps. -0.000011 Round -4304.1 to the nearest 10. -4300 What is -1960 rounded to the nearest 10000? 0 Round 1.059 to 1 dp. 1.1 Round 47.5 to the nearest ten. 50 Round 544.182 to the nearest 100. 500 What is -0.0003833 rounded to six decimal places? -0.000383 Round -9.9715 to one dp. -10 Round -544000 to the nearest 100000. -500000 What is 16144000 rounded to the nearest one hundred thousand? 16100000 Round 6979 to the nearest 1000. 7000 Round -0.00063553 to four decimal places. -0.0006 Round -0.40719 to three dps. -0.407 What is 49273 rounded to the nearest ten thousand? 50000 Round -800570 to the nearest 10000. -800000 Round 0.0000073242 to seven dps. 0.0000073 Round 0.00000902 to 7 dps. 0.000009 Round 0.0327 to 2 decimal places. 0.03 What is -0.0044707 rounded to five dps? -0.00447 Round 0.0009273 to 4 dps. 0.0009 Round -0.008028 to three dps. -0.008 Round 0.00026 to 4 decimal places. 0.0003 Round -60970000 to the nearest one million. -61000000 Round -1.477 to one decimal place. -1.5 Round 84826 to the nearest one thousand. 85000 What is -1.048 rounded to two dps? -1.05 What is 0.15179 rounded to three dps? 0.152 What is -0.00084792 rounded to 4 decimal places? -0.0008 What is -6142 rounded to the nearest 100? -6100 Round 0.00007133 to 5 deci
{ "pile_set_name": "DM Mathematics" }
t u = 0 + 2. Let h = u - -1. Suppose 0 = 7*l - h*l - 8. Solve 4*k + 2*b = k - 7, -l*b - 12 = -2*k for k. 1 Suppose 0 = 5*z + 4*a - 24 + 6, -6 = -3*a. Suppose 0 = -0*m - z*m. Let h be (2 + (m - 5))*-2. Solve 4*c = 3*g - h, 4*c - 8 = -4*g - 0*c for g. 2 Let z be -3 + 575/30 + (-2)/12. Solve 2*j + 2*j - 28 = 2*x, 4*j = -x + z for x. -4 Let v(s) = -s + 5. Let n be v(-4). Suppose 0 = -7*y + 4*y + 21. Let p(q) = q**2 - 6*q - 3. Let d be p(y). Solve 1 = f - z, -7 = -d*f + z + n for f. 5 Let f = 48 - 43. Solve 11 = c - 4*l, -c - f*l - 13 = -3*l for c. -5 Let t = -4 - -10. Suppose 2*p + 3 = 5*p - 3*z, 3*p + 5 = -5*z. Solve p*j + 3*j = 5*a - t, a = 0 for j. -2 Let i be 12/9*54/4. Suppose i = 4*k + 5*a, -4*k + a + 6 = -0*k. Solve -5*z - 4*f = -12, 2*f - 4 - k = -5*z for z. 0 Suppose 0 = 2*x + x - 45. Suppose 0 = -l + 3*l - 6. Solve -4*h + h - 4*w = -x, -l*h = -2*w - 15 for h. 5 Suppose -2*n - 4*g = -g - 10, -5*g = 20. Solve -3*k + 10 = 4*j - k, 5*j + 3*k - n = 0 for j. 4 Suppose 0 = -9*c + 12*c - 12. Solve -32 = 4*s + 2*h - 6*h, 0 = c*s - h + 20 for s. -4 Let g be 33/(-6) + 5 + 34/4. Solve -4*p - 2*o - 12 = 0, 2*o + g = -4*p + 2*p for p. -2 Suppose -43 = -3*c + 38. Solve -6*f = x - 2*f + 18, x - 5*f = c for x. 2 Let j = 6 - -1. Solve -y - j*k + 11 = -3*k, 5*k - 19 = -3*y for y. 3 Suppose 8*t - 5*t = 12. Let u(d) = 2*d**3 - d**3 + 0*d + 2 + 2*d - 4*d**2. Let j be u(t). Solve -2*h - 6 = 2*m, j - 1 = -4*h - m for h. -2 Let i(j) = -j + 6. Let v be i(3). Solve v*n + 9 = -3*a, -14 = 2*n - 4 for a. 2 Let g be 2*5 - 12/4. Solve 5*q = 3*r + 2*r + 40, -q - g = 4*r for q. 5 Suppose -b + 8 = i, 2*i + 4 = -0*i + 3*b. Let n be 2/(-4) - (-1)/(-2). Let w(o) = 20*o**2 + o + 1. Let f be w(n). Solve 5*k - f = i*t, -5*t = -k - t + 20 for k. 0 Let s = -6 + 11. Suppose 5 = 2*a - s. Solve 0 = -a*q + 5*i + 20, 2*q + i = -i + 12 for q. 5 Let o = -24 + 28. Solve 4*k + x - 1 = 0, -2*x + 0 - o = 2*k for k. 1 Let s = 104 + -81. Solve 2*g = -3*g + 2*x - 27, -2*x = 5*g + s for g. -5 Let b = 15 - 6. Suppose -4*f + 11 = -b. Solve 2*s = 10, -f*i + 15 = 5*s - 0*s for i. -2 Let x(u) = -u**3 + 3*u**2 + 5*u. Let p be x(4). Suppose 0*v + p*v + 60 = 0. Let r be -3*v/27*3. Solve 2*g - 4*c = 0, r*g + c = 4*c + 7 for g. 2 Suppose 4*g = 6*g - 8. Solve -g*j - 7 = -b - 0*b, j - 12 = 3*b for j. -3 Let b = 8 - 6. Solve 5*g + 26 = b*l, 2*l + 2*g + 3 = 1 for l. 3 Let a(g) = g + 1. Let u be a(5). Let d(r) = r**2 + 15*r + 30. Let j be d(-13). Solve 0 = -2*x + u, -j*v + 5*x = 35 for v. -5 Let v = -62 - -79. Solve 4 = -q - 3*p - 15, 3*q + p = -v for q. -4 Let r = -82 - -129. Suppose -7 = -s + r. Suppose 5*v = -19 + s. Solve 5*b = -q + 11, v = b - 0*b + 5*q for b. 2 Let x(m) = -m**3 + 2*m**2 + m + 1. Let w = 6 + -3. Let b be x(w). Let j be (-4 - b)*(3 + 0). Solve 0 = -j*n - t - 3 - 1, -16 = -5*n + 4*t for n. 0 Let d = -17 + 21. Solve -14 = -4*m - h, -d*m + 10 = h + 2*h for m. 4 Suppose 3*a - 24 = 33. Solve 3*u - 4*u = 4*k - a, -2*u = -3*k + 17 for k. 5 Let t(n) = -2*n**3 + 0 - 3*n**3 + 1. Let o = -1 - 0. Let p be t(o). Solve -15 = -4*h - 5*d, 2*d - p = h + 2*h for h. 0 Suppose -2*l + 24 = -0*l. Suppose -l = -3*v - 0*v. Solve b - 3*b - v*o - 8 = 0, -2*b + 7 = -o for b. 2 Suppose -2*k = 2 - 6. Let w = k - 2. Solve 3*a - 14 = -3*i - a, 4*a - 20 = w for i. -2 Suppose 3*n = 2*z - 7, -7*z + 12*z - 29 = -4*n. Solve 15 = 5*u - z*v, 6*u - 2*v - 12 = u for u. 2 Let d(h) = -h**2 - 9*h + 7. Let i be d(-10). Let u = 5 + i. Suppose -5*l = -5*k + 65, -k + 4*k + 5*l = 31. Solve 0*j + 2*j + 8 = u*w, w = -3*j - k for w. 0 Let x(s) = 28*s**2 + 3*s + 1. Let z be x(-2). Let a = -74 + z. Suppose 4*b = a - 13. Solve 5*m - 4 = 2*w, 4*w + 6 = w - b*m for w. -2 Let c(m) = -m**3 + 4*m + 3. Let k be c(-2). Let o be -1 + k + 1 - -10. Solve 2*f - 3*s = -o, 4*f + 33 = 3*s + 10 for f. -5 Suppose -22 = -5*z + 53. Let p = z - 7. Solve -a + 12 = 5*t, -3*a + p = -2*t + 3*t for a. 2 Let l(y) = y**3 + 16*y**2 - y - 14. Let k be l(-16). Solve -v = -k*u - 2*u - 12, -2*u = v for v. 4 Let r be (2 + -3)/(3/(-12)). Solve -g = -2*l + r*l - 8, -2*g - 12 = -3*l for l. 4 Let q be -3 + 2 + 0 - -3. Solve -3*c + 8 = y - q*c, -5*y - 4*c = -36 for y. 4 Suppose -t - 2 = -1. Let k be -1 + t + 8 - 4. Solve -2*a - k*o = -2, 2*a = a - 5*o - 3 for a. 2 Let r(g) = -g**3 + 9*g**2. Let x be r(9). Solve 3*p - v + 0*v + 1 = x, -5*v + 5 = 0 for p. 0 Let k(y) be the second derivative of y**4/12 + y**3/3 - y**2/2 + y. Let r be k(-3). Let x = 4 - r. Solve 5*h - 2*h - 3 = x*p, -2*p = -4*h + 6 for h. 3 Suppose -h = -4 + 2. Suppose -3*w - 120 = w. Let o be (4/5)/((-4)/w). Solve -5*s + h = 4*v + 8, -4*v + o = -s for v. 1 Let d be (-2)/(-11) + (432/44 - 7). Solve 0 = -d*m - 2*n - 10, -n + 2 = n for m. -4 Suppose -13 - 4 = -4*i - 3*z, 5*i - 4*z = 29. Let s = i + 0. Solve -3*l = -6*l - 3*q, 0 = -s*q - 25 for l. 5 Let a = -33 - -37. Solve -a*f + 2*i - 4*i + 2 = 0, -4*i = f + 17 for f. 3 Let f(v) = -v**3 + 2*v**2 + 9*v - 4. Let y be f(4). Solve -2*z + 21 = 3*b, z + y = 3 for b. 5 Suppose 0 = 3*n + 2*s - 0*s + 4, 0 = -5*n - 3*s - 5. Solve 3*m - 6 = -0*m, -2*j = -n*m + 14 for j. -5 Suppose -2*s + 16 = -4*y - 0, -3*s = 3*y + 12. Solve 2*b - 2*h = -b + 4, 3*b + 4*h + 8 = s for b. 0 Let i(o) = 2*o - 5. Let f be i(4). Solve 5*z = -t - 22, -2*z - 3*z - 34 = -f*t for t. 3 Suppose -3*a + 23 = -2*a. Solve -2*v = -3*c - a, v + 3*v - 11 = -c for c. -5 Let r(b) = -b**2 + 8*b + 3. Let q be r(8). Let c be q - (-4 - (2 + -5)). Solve n = -3*o + 7, -7*n - 4*o = -c*n - 11 for n. 1 Let m = 115 - 110. Solve 4*g + m*j - 13 = -53, 0 = 4*g - 5*j for g. -5 Let l = -25 + 28. Solve -4*m - l*g = -g + 24, 2*m - 5*g = 12 for m. -4 Suppose -5*q + 15 = 5. Let v be 2 + (q - 2) + 1. Suppose 4*o + 10 = z, -v*z = -8*z + o + 12. Solve 0 = -2*x + z*l + 4, -4*x + 2*l = -3*l - 11 for x. -1 Suppose 2*a - 90 + 6 = 0. Suppose -58 = -4*n + a. Solve -2*l - 2*c = -7*l + n, 0 = 4*l - 5*c - 37 for l. 3 Let l be 28/(-21) + (-20)/(-6). Solve 3*q = 3*g + 3, l*q + 2*g = -g + 22 for q. 5 Suppose 0 = 2*l - 6*l + 36. Suppose 0 = -l*r + 4*r. Solve r*y + 2*x + 8 = 4*y, -5*y + 4*x + 4 = 0 for y. 4 Let c = -1 - -15. Suppose -4 = -0*n - n. Solve -4*u = 2*i + c, -i + 14 = -u - n*u for i. -1 Let d(v) = 4*v**2 - 3*v - 2. Let h be d(-1). Let n be 3/(-6)*(1 - 5). Let t be 29 - -2*n/(-4). Solve 5*j = 2*k - 13, -h*k = -t + 8 for j. -1 Let a(m) = m**3 + 11*m**2 + 9*m - 10. Let y be a(-10). Solve y*c + 8 = -4*w - c, -5*w = -3*c + 10 for w. -2 Let k = -38 + 42. Solve -t = -4*j + 8, -2*j + 4*j - 4 = k*t for j. 2 Suppose -5*k - 6 = -3*k. Let v = k - -15. Suppose -z + v = 3*z. Solve -5*j = -2*d - d + 14, z*d + 2*j = -14 for d. -2 Let u be (-80)/(-36) - 4/18. Solve 3*w - w + 5*b = -25, -13 = u*w + b for w. -5 Suppose q = 4*q + v + 65, -2*v = -4*q - 90. Let y = -20 - q. Solve y*f - 2*r - 8 = 0, 0*r + 2*r = -f - 5 for f. 1 Let d = 4 + -8. Let s be (-129)/(-27) - d/18. Suppose 0*j + 4 = 4*j. Solve -i - 6 = s*b + j, 2*b - 8 = -4*i for b. -2 Let f(s) = 10*s**2 + s. Let q(y) = 1. Let h(d) = f(d) + 2*q(d). Let a be h(-1). Solve l - g = -1, 5*l = -0*l - g - a for l. -2 Let q(t) = t**2 - 13*t + 15. Let g be q(12). Suppose 4*s - 11 = -g*f - 0*s, -s = 2*f - 9. Solve -3*a = -0*c - 2*c + 11, 0 = -a + f*c - 21 for a. -1 Let a = -6 + 10. Suppose 0*r + 6 = 2*r. Solve 0 = -a*p - 4*z + 20, 18 - 5 = p + r*z for p. 1 Suppose 5*y = -5*c, 3*y - c + 0*c - 16 = 0. Solve 2*h - 5*d = 22, y*d - 5*d = 4 for h. 1 Let z(k) = -k**3 - 4*k**2 + 3*k + 6. Let p be ((-3)/3 - 2) + -2. Let c be z(p). Solve 5*v = -f - 4, -v = 4*f - 6*v + c for f. -4 Let l be (-3)/(-1) - (1 + -3). Let n be (-9)/3*-1 + -1. Let v = n - 2. Solve -l = -2*p + u, 3*p + v*p = 2*u + 9 for p. 1 Suppose 11 + 20 = r. Suppose -r = -5*k - 3*w, 3*w = 7 - 1. Solve -k*p = -3*q + 8, -3*q - 4 = -2*q for p. -4 Suppose -4*z = -3*r + 4, 0*r = -5*r - 2*z - 2. Suppose 0 = -r*x - 3*x - 5*v - 3, 3*x - 2*v - 18 = 0. Solve 0 = 4*o + x*f - 24, 0*f + 2*f - 8 = 0 for o. 2 Suppose 1 = f - 0*f. Suppose 0 = 3*s + 3*u - 18, 5*s + 2*u - 18 = 0. Let k be 2 + s/(0 - f). Solve 4*q + 0*z + 4 = 5*z, k = 3*q + 5*z + 3 for q. -1 Let t = 11 + 2. Let o = 0 + 5. Let v(g) = -g**3 - 7*g**2 - 6*g + 2. Let s be v(-6). Solve f - o*y - 5 = -20, -f = s*y - t for f. 5 Let s = -2 - -1. Let y = 4 + s. Solve -2*a = -5*z + y*a, 2*a = 4*z for z. 0 Suppose -3*n + 6
{ "pile_set_name": "DM Mathematics" }