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+ 3*u**4 + 7*u - 4*u**2 wrt u? 72*u Let i be (-25)/(-10) - 3/(-2). Find the second derivative of -i - 3*z + 10*z - 4*z**3 + 4 wrt z. -24*z Let d(m) be the first derivative of -m**6/15 - m**2/2 + 5*m + 4. Let p(r) be the first derivative of d(r). Find the first derivative of p(k) wrt k. -8*k**3 Suppose -4*i + 7 = -13. Suppose 0*g + i*g = 10. What is the third derivative of -2*t**2 + 5*t**g - 2*t**3 - 2*t**2 wrt t? -12 Let l(u) = -17*u**3 - 2*u**2 - 2*u - 11. Let y(d) = -16*d**3 - 3*d**2 - 3*d - 10. Let z(o) = 3*l(o) - 2*y(o). Differentiate z(x) wrt x. -57*x**2 Let w = -2 - -1. Let c = w - -3. Find the second derivative of -p**5 + c*p + 3*p**5 - p wrt p. 40*p**3 Let u(n) be the third derivative of 0*n + n**2 + 0*n**4 + 0 - 1/60*n**6 + 1/20*n**5 + 0*n**3. Find the third derivative of u(m) wrt m. -12 Let r(f) be the first derivative of 1/3*f**3 + 0*f**2 + 1/3*f**6 - 2 + 0*f + 0*f**5 + 0*f**4. What is the third derivative of r(u) wrt u? 120*u**2 Suppose 2*o + 12 = 5*o. Find the second derivative of 14*t + 8*t - 27*t + o*t**5 + 10*t wrt t. 80*t**3 Let h(b) be the third derivative of 11*b**6/120 - 7*b**5/60 + 17*b**2. Find the third derivative of h(f) wrt f. 66 Let w(v) be the third derivative of -v**7/5040 - v**6/240 - v**5/20 + 2*v**2. Let o(q) be the third derivative of w(q). Differentiate o(g) wrt g. -1 Let b(o) be the first derivative of 2/7*o**7 - 11 - 1/3*o**3 + 0*o**4 + 0*o + 0*o**5 + 0*o**2 + 0*o**6. What is the third derivative of b(l) wrt l? 240*l**3 Let t(r) = 9*r**3 - 6*r**2 - 14*r - 6. Let m(c) = -c**2 - c - 1. Let n(f) = 6*m(f) - t(f). Find the second derivative of n(y) wrt y. -54*y Let g(a) be the second derivative of 3*a**3 + 3*a**2/2 - 15*a. Differentiate g(p) with respect to p. 18 Let h(n) = 6*n - 7*n**2 + 0*n**3 + 6*n - 5*n - 6 - n**3. Let r be h(-8). What is the third derivative of -2*t**3 + 6*t**r - 3*t**2 - t**3 + 0*t**2 wrt t? -18 What is the third derivative of -7*b**5 + 8*b**2 + 14*b**2 - 2*b**2 wrt b? -420*b**2 What is the third derivative of -l + 13*l**2 + 4*l**3 - 4*l**3 - 1915*l**4 + 1931*l**4 wrt l? 384*l Suppose -5*b + 4*z = -22, 5*b + 2*z = z + 7. Differentiate 3 + b*p**3 + 3 + 0 - 5 wrt p. 6*p**2 Find the third derivative of -4*j**2 + 2*j**5 + 10*j**5 - 12*j**5 + 6*j**6 wrt j. 720*j**3 Let o(h) be the second derivative of 8*h**6/15 + 3*h**3/2 + 8*h. What is the second derivative of o(m) wrt m? 192*m**2 Let j(m) be the third derivative of 0*m - 1/40*m**6 + 0*m**5 - 5/24*m**4 + 5*m**2 + 0 + 0*m**3. What is the second derivative of j(g) wrt g? -18*g Let j(x) be the third derivative of -17*x**7/105 + 11*x**3/3 - 40*x**2. Differentiate j(q) wrt q. -136*q**3 Suppose -5*a - 4*u - 6 = 0, -3*a - 2*u + 1 = 5. Let k be ((-20)/(-25))/(a/(-5)). Find the third derivative of 3*h**6 + 2*h**2 - 2*h**2 + h**k wrt h. 360*h**3 Let q be (-2)/1 + (4 - 0). Find the second derivative of q - s - 2 + s**2 wrt s. 2 Suppose x - 4*x + 24 = 0. Suppose 4*n + x - 32 = 0. What is the first derivative of -g**4 + 4 + 0 - n wrt g? -4*g**3 Let a(i) = -16*i**2 + 7*i + 5. Suppose g - 14 = -g. Let r(v) = -11*v**2 + 5*v + 3. Let h(t) = g*r(t) - 5*a(t). What is the first derivative of h(z) wrt z? 6*z Find the third derivative of 67*z + 44*z**4 + 17*z**2 - 66*z + 9 - 9 wrt z. 1056*z Suppose 3*c = 73 - 22. Suppose c = 5*r + 2. Find the first derivative of r + 0 + i**2 - 5 wrt i. 2*i Let y = 5 + -2. Find the third derivative of -2 + 2 - z**2 + 4*z**y wrt z. 24 Let f(l) = -2*l - 5. Let a(p) = -p - 3. Let k(i) = 5*a(i) - 3*f(i). Let y(u) = 3*u**2 - 2*u - 2. Let c(n) = 2*k(n) + y(n). Differentiate c(m) with respect to m. 6*m Let c(v) be the first derivative of -7*v**6/120 - v**3/2 + 3*v**2 - 6. Let t(y) be the second derivative of c(y). Find the first derivative of t(i) wrt i. -21*i**2 Suppose 0 = -2*d + 8 + 2. Differentiate -d - 2*p**2 + 6*p**2 + 0*p**2 - 1 with respect to p. 8*p Let r(k) be the first derivative of -2/3*k**6 + 0*k**5 + 0*k + 0*k**4 + 5/3*k**3 + 0*k**2 + 5. Find the third derivative of r(w) wrt w. -240*w**2 Let j(m) = 12*m**4 + 14*m**2 + 4*m - 4. Let u(n) = n - 1. Let b(v) = j(v) - 4*u(v). What is the third derivative of b(h) wrt h? 288*h What is the second derivative of -31*l**4 + 31*l - 4*l**4 - 7*l + 11*l**4 wrt l? -288*l**2 Let l be (-1 + (-8)/(-5))*5. Let r(p) = -11*p**2 - p + 5. Let k(b) = -6*b**2 - b + 3. Let t(s) = l*r(s) - 5*k(s). What is the second derivative of t(o) wrt o? -6 Suppose 0*t = -t + 3. What is the third derivative of -14*m**t + 11*m**3 + 3*m**2 + 0*m**2 wrt m? -18 Let i(n) = n**2 - 5*n. Let x be i(6). Let f = -3 + x. What is the third derivative of 8 - 8 - s**2 + f*s**4 wrt s? 72*s Let j(m) be the third derivative of m**6/360 + m**5/60 + m**3/6 + 3*m**2. Let l(n) be the first derivative of j(n). What is the second derivative of l(c) wrt c? 2 Let s = -2 - -4. Let l(o) be the first derivative of -s + 3/2*o**2 + 2*o. Find the first derivative of l(f) wrt f. 3 Let o(r) be the second derivative of -r**2 - 2*r + 0*r**3 + 0 - 1/4*r**4. Differentiate o(h) wrt h. -6*h Differentiate 9 + d**4 - 8*d**4 + 0*d**4 with respect to d. -28*d**3 Let h = 6 + -3. Find the third derivative of -3*j**2 - h*j**6 + 0*j**2 + 5*j**2 wrt j. -360*j**3 Let w(v) be the third derivative of -v**8/42 + 11*v**5/60 - 5*v**2. Find the third derivative of w(r) wrt r. -480*r**2 Let t = 4 + -1. What is the first derivative of 1 - 4*s + 7 - t - s wrt s? -5 Let m(v) be the second derivative of 0*v**2 + 0*v**4 + v + 0 - 1/3*v**3 + 1/15*v**6 + 0*v**5. Find the second derivative of m(w) wrt w. 24*w**2 Let f(d) be the second derivative of 0*d**6 - 3*d + 0*d**7 + 0*d**5 + 1/3*d**4 + 0*d**3 - 3/28*d**8 + 0 + 0*d**2. What is the third derivative of f(x) wrt x? -720*x**3 Suppose -b = -0*b - 3*y - 2, 3*b - 2*y = 6. Suppose 0 = 3*f + b*f - 5. What is the first derivative of -3*q + 3 - f + 1 wrt q? -3 What is the second derivative of 12 - 2*h**4 - 3*h + 41*h**4 - 13 wrt h? 468*h**2 Let u be 1/(-2)*(0 + -4). What is the second derivative of -s**u + 5*s + 5*s**3 + s**2 - s wrt s? 30*s Let t(a) be the second derivative of 0 - 1/3*a**3 + 3/20*a**5 - a + 0*a**4 + 0*a**2. Find the second derivative of t(z) wrt z. 18*z Differentiate -18*w**4 - 18 - 24*w + 24*w - 1 with respect to w. -72*w**3 Let r(z) be the first derivative of -2/3*z**3 + 0*z + 0*z**4 + 6 - 8/5*z**5 + 0*z**2. What is the third derivative of r(w) wrt w? -192*w Let h(t) be the second derivative of -1/12*t**4 + 2*t - 2*t**2 + 0*t**3 + 0. Differentiate h(c) with respect to c. -2*c Find the second derivative of 11*f + 7*f + 123*f**3 - 151*f**3 wrt f. -168*f Let n(o) be the third derivative of 0*o**3 - 3*o**2 + 0*o - 1/20*o**6 + 0*o**4 + 0 - 1/12*o**5. Find the third derivative of n(k) wrt k. -36 Let b(j) be the first derivative of -21*j**5/5 - 8*j**3 + 1. What is the third derivative of b(f) wrt f? -504*f Let j be 4 - (3 - 4/2). Let u(n) = -4*n**2 - 4 - j + 5 - 8*n**3. Let q(x) = x**3 + x**2. Let h(l) = -4*q(l) - u(l). Differentiate h(b) with respect to b. 12*b**2 Let q(l) = -l**4 + l**3 - 34*l**2 + 4*l. Let p(n) = -n**3 + 34*n**2 - 5*n. Let a(r) = 4*p(r) + 5*q(r). What is the third derivative of a(g) wrt g? -120*g + 6 Let y(d) be the third derivative of 11*d**8/168 + 3*d**5/20 - 11*d**2. Find the third derivative of y(c) wrt c. 1320*c**2 Suppose y - 1 - 2 = 0. Find the third derivative of -3*j**2 + 5*j**3 + 0*j**3 + 3*j**y - 3*j**3 wrt j. 30 Let c(v) be the third derivative of v**9/60480 - v**6/720 + v**5/20 - 3*v**2. Let g(p) be the third derivative of c(p). What is the derivative of g(w) wrt w? 3*w**2 Let a(m) = -11*m**3 - 3*m**2 + 21*m + 3. Let b(y) = -34*y**3 - 8*y**2 + 62*y + 8. Let k(j) = 8*a(j) - 3*b(j). What is the second derivative of k(l) wrt l? 84*l Find the second derivative of -10*s**5 - 7*s**5 + 2*s + s + 5*s**5 wrt s. -240*s**3 Suppose 4*k - 3 = 9. What is the first derivative of 0*a**3 - 2 + 7*a**3 - a**k - 3*a**3 wrt a? 9*a**2 Let d(v) be the third derivative of 0 + 1/2*v**3 + 0*v**5 - 1/30*v**7 - 2*v**2 + 0*v**4 + 0*v + 0*v**6. Differentiate d(i) wrt i. -28*i**3 Suppose -2*m + 24 = g, -3*m + 5*g = -69 + 20. What is the third derivative of -6*p - 4*p**2 - 7*p + m*p + 7*p**3 wrt p? 42 Find the second derivative of 4*h - 5*h + 3*h - 27*h**2 + 8*h wrt h. -54 What is the third derivative of -15*r**2 - 2
{ "pile_set_name": "DM Mathematics" }
nearest integer? 300 What is the square root of 43604 to the nearest integer? 209 What is the square root of 636 to the nearest integer? 25 What is the tenth root of 6904 to the nearest integer? 2 What is the fourth root of 10944 to the nearest integer? 10 What is the eighth root of 44929 to the nearest integer? 4 What is the square root of 1676 to the nearest integer? 41 What is the cube root of 74623 to the nearest integer? 42 What is 13703 to the power of 1/2, to the nearest integer? 117 What is 4292 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 9250 to the nearest integer? 3 What is 4597 to the power of 1/8, to the nearest integer? 3 What is 30 to the power of 1/2, to the nearest integer? 5 What is 19894 to the power of 1/5, to the nearest integer? 7 What is 5401 to the power of 1/7, to the nearest integer? 3 What is the eighth root of 30035 to the nearest integer? 4 What is 34238 to the power of 1/8, to the nearest integer? 4 What is 62320 to the power of 1/6, to the nearest integer? 6 What is 11425 to the power of 1/3, to the nearest integer? 23 What is 30652 to the power of 1/4, to the nearest integer? 13 What is 1502 to the power of 1/2, to the nearest integer? 39 What is the cube root of 5788 to the nearest integer? 18 What is 55526 to the power of 1/3, to the nearest integer? 38 What is the sixth root of 53419 to the nearest integer? 6 What is the seventh root of 125 to the nearest integer? 2 What is the square root of 280 to the nearest integer? 17 What is 22886 to the power of 1/7, to the nearest integer? 4 What is the fifth root of 734 to the nearest integer? 4 What is 5989 to the power of 1/10, to the nearest integer? 2 What is 4853 to the power of 1/2, to the nearest integer? 70 What is 1433 to the power of 1/2, to the nearest integer? 38 What is 16010 to the power of 1/6, to the nearest integer? 5 What is the sixth root of 30209 to the nearest integer? 6 What is the eighth root of 6109 to the nearest integer? 3 What is 2536 to the power of 1/3, to the nearest integer? 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3 What is 555 to the power of 1/2, to the nearest integer? 24 What is 1901 to the power of 1/7, to the nearest integer? 3 What is 1174 to the power of 1/2, to the nearest integer? 34 What is the tenth root of 5970 to the nearest integer? 2 What is the third root of 69495 to the nearest integer? 41 What is the cube root of 14871 to the nearest integer? 25 What is the third root of 8762 to the nearest integer? 21 What is the cube root of 2916 to the nearest integer? 14 What is the ninth root of 9854 to the nearest integer? 3 What is 4178 to the power of 1/7, to the nearest integer? 3 What is 89160 to the power of 1/3, to the nearest integer? 45 What is the square root of 421 to the nearest integer? 21 What is 8 to the power of 1/5, to the nearest integer? 2 What is 1994 to the power of 1/5, to the nearest integer? 5 What is the square root of 1598 to the nearest integer? 40 What is the cube root of 2145 to the nearest integer? 13 What is 12532 to the power of 1/4, to the nearest integer? 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3 What is the third root of 86694 to the nearest integer? 44 What is the fifth root of 151 to the nearest integer? 3 What is 137699 to the power of 1/2, to the nearest integer? 371 What is the third root of 2340 to the nearest integer? 13 What is the square root of 45 to the nearest integer? 7 What is the square root of 9606 to the nearest integer? 98 What is the third root of 31832 to the nearest integer? 32 What is 39 to the power of 1/2, to the nearest integer? 6 What is 823 to the power of 1/7, to the nearest integer? 3 What is the third root of 73 to the nearest integer? 4 What is the third root of 732 to the nearest integer? 9 What is 102856 to the power of 1/4, to the nearest integer? 18 What is the fifth root of 86835 to the nearest integer? 10 What is 82343 to the power of 1/2, to the nearest integer? 287 What is the square root of 23090 to the nearest integer? 152 What is the square root of 60 to the nearest integer? 8 What is the third root of 33108 to the nearest integer? 32 What is 87994 to the power of 1/3, to the nearest integer? 44 What is the third root of 97301 to the nearest integer? 46 What is the cube root of 553 to the nearest integer? 8 What is 22489 to the power of 1/2, to the nearest integer? 150 What is the square root of 2283 to the nearest integer? 48 What is 2297 to the power of 1/3, to the nearest integer? 13 What is the fourth root of 1391 to the nearest integer? 6 What is 1890 to the power of 1/8, to the nearest integer? 3 What is 40652 to the power of 1/2, to the nearest integer? 202 What is the fourth root of 24407 to the nearest integer? 12 What is the square root of 6935 to the nearest integer? 83 What is 11593 to the power of 1/2, to the nearest integer? 108 What is 1304 to the power of 1/5, to the nearest integer? 4 What is 69352 to the power of 1/10, to the nearest integer? 3 What is 5692 to the power of 1/7, to the nearest integer? 3 What is the square root of 957 to the nearest integer? 31 What is the square root of 1576 to the nearest integer? 40 What is the eighth root of 7146 to the nearest integer? 3 What is the eighth root of 18916 to the nearest integer? 3 What is 17055 to the power of 1/8, to the nearest integer? 3 What is 510 to the power of 1/3, to the nearest integer? 8 What is the square root of 6542 to the nearest integer? 81 What is the eighth root of 35174 to the nearest integer? 4 What is the eighth root of 1350 to the nearest integer? 2 What is the seventh root of 2454 to the nearest integer? 3 What is the cube root of 46194 to the nearest integer? 36 What is the cube root of 180911 to the nearest integer? 57 What is 56946 to the power of 1/3, to the nearest integer? 38 What is the ninth root of 87287 to the nearest integer? 4 What is 1391 to the power of 1/7, to the nearest integer? 3 What is 2399 to the power of 1/3, to the nearest integer? 13 What is 6740 to the power of 1/2, to the nearest integer? 82 What is 186 to the power of 1/6, to the nearest integer? 2 What is the square root of 2717 to the nearest integer? 52 What is the cube root of 4606 to the nearest integer? 17 What is the cube root of 2951 to the nea
{ "pile_set_name": "DM Mathematics" }
+ 1. Calculate r*m(u) + 5*n(u). u - 1 Let j(h) = h - 6. Let l(f) = -5. Give -3*j(c) + 2*l(c). -3*c + 8 Let m(d) be the first derivative of -3*d**2/2 + 4*d + 5. Let s(o) = o - 2. Determine -2*m(k) - 5*s(k). k + 2 Let f = 17 + -13. Let a(b) = -4 + 3*b - f - 1 + 4. Let p(j) = j. Let y(h) = 5*h - 2. Let r(d) = 4*p(d) - y(d). Determine -3*a(t) - 7*r(t). -2*t + 1 Let s(u) = -u + 35. Let g(z) = 2*z - 71. What is -4*g(v) - 7*s(v)? -v + 39 Let p(z) = -4*z**3 + 13*z**2 - 15*z - 11. Let y(l) = 2*l**3 - 7*l**2 + 8*l + 6. What is 6*p(n) + 11*y(n)? -2*n**3 + n**2 - 2*n Let a(w) = -129*w + 33. Let y(q) = -8*q + 2. What is -4*a(k) + 66*y(k)? -12*k Let k = 27 + -24. Let g(o) = 2*o**3 - 3*o**2 - 3*o + 3. Let h(r) = -3*r**3 + 5*r**2 + 5*r - 5. Calculate k*h(j) + 5*g(j). j**3 Let l(x) = 2*x**3 - 3*x**2 - x - 2. Let h(a) = 3*a + 16. Let y be h(-6). Let z(w) = 2*w**3 - 2*w**2 - 1. Calculate y*l(b) + 3*z(b). 2*b**3 + 2*b + 1 Let o(z) = -2*z**3 + z**2. Let s(u) be the third derivative of u**6/120 - u**5/60 + 40*u**2. What is o(t) + 3*s(t)? t**3 - 2*t**2 Let v(g) = 2*g**3 + 6*g + 6. Let x(t) = t**2 - 4*t. Let o be x(4). Let b be (-3 - o)*(-3)/9. Let s(l) = -4 + l - 2*l + 3. Determine b*v(c) + 6*s(c). 2*c**3 Let b = 11 - 18. Let u(z) = -2*z**2 - 4*z. Suppose 3*j - 15 = -d, -3*d - 2 - 3 = -j. Suppose -j = 2*o - 15. Let k(s) = -3*s**2 - 6*s. Give b*u(y) + o*k(y). -y**2 - 2*y Let d(u) = -u + 1. Suppose 0 = -h - h + 10. Let c(i) = -2*i + 1. Calculate h*c(s) - 8*d(s). -2*s - 3 Let a(s) = 7*s + 4. Let m(r) = -8*r - 3. Give -3*a(d) - 4*m(d). 11*d Let k(u) = 49*u**2 + 21*u. Let l(s) = 5*s**2 + 2*s. Give 2*k(n) - 21*l(n). -7*n**2 Let m(a) = -a - 3. Let l(f) = 4. Suppose -12*o + 17*o = -20. Determine o*m(d) - 3*l(d). 4*d Let b(m) = -2*m**3 - 2*m - 4. Let i be (-30)/4*(-6)/(-9). Let k = i - -4. Let h(v) = v**3 + 1. Let g be (3 + 1)/(0 - 1). Determine g*h(l) + k*b(l). -2*l**3 + 2*l Let k(t) = -t - 1. Let i(a) = -8*a - 12. What is -2*i(z) + 24*k(z)? -8*z Let m(a) = 17*a**2 + 2*a - 7. Let i(d) = -d + 1. Let z(c) = -2*i(c) + m(c). Let s be 2/5 + (-201)/15. Let b(y) = -8*y**2 - 2*y + 4. Give s*b(l) - 6*z(l). 2*l**2 + 2*l + 2 Let g(j) = -16*j**3 + 4*j**2 + 5*j - 4. Let v(n) = -17*n**3 + 5*n**2 + 6*n - 5. Determine 5*g(k) - 4*v(k). -12*k**3 + k Let k(f) = f. Let c(t) = t - 10. Let r be c(6). Let a be ((-10)/r)/((-3)/6). Let q(p) = 3*p - 1. What is a*k(n) + q(n)? -2*n - 1 Suppose 9*v - 5*v - 16 = 0. Let d(m) = m. Let y(z) = -6*z + 2. What is v*d(x) + y(x)? -2*x + 2 Let s(p) be the second derivative of p**4/4 - p**2 + 6*p. Let t(c) be the first derivative of s(c). Let x(r) = 2*r. Calculate 3*t(g) - 8*x(g). 2*g Suppose 4*h - 10 = -3*n + 23, 0 = -3*h + 4*n + 6. Suppose -v + h = v. Let d(l) = -5*l**3 + 3*l. Let u(i) = 14*i**3 - 8*i. Calculate v*u(x) + 8*d(x). 2*x**3 Let q(d) = -2*d**3 - 11*d**2 - 11*d. Let a = 19 - 8. Let s = 11 - 9. Let z(g) = 8*g + g**3 + 11*g**s - 5*g**2 - 2*g. Give a*z(x) + 6*q(x). -x**3 Let q(c) = -2*c - 25. Let b(g) = 2*g + 24. Determine -4*b(u) - 3*q(u). -2*u - 21 Let f(c) = -c**2 - 4*c + 8. Let r = 66 + -77. Let n(j) = -2*j**2 - 7*j + 15. Determine r*f(q) + 6*n(q). -q**2 + 2*q + 2 Let z(w) = -1. Let y(g) = 14*g - 1. Give y(u) - 3*z(u). 14*u + 2 Let t(o) = 19*o. Let q(r) = -132*r. What is 4*q(y) + 27*t(y)? -15*y Let r(p) = 6*p**2 - 14*p - 15. Let a(q) = 2*q**2 - 5*q - 5. Give 8*a(m) - 3*r(m). -2*m**2 + 2*m + 5 Let p(m) = m**3 - m**2 - m + 1. Let u(x) = 5*x**3 - 5*x**2 + 24*x + 4. What is -4*p(i) + u(i)? i**3 - i**2 + 28*i Let h(u) = u**3 + 7*u**2 + 6*u + 1. Let t(i) = 3*i**3 + 20*i**2 + 17*i + 2. What is -17*h(k) + 6*t(k)? k**3 + k**2 - 5 Let c(g) = g + 1. Suppose -3*b = -5*b - 2. Let w(t) = -10*t + 1. Let u(o) = b*w(o) - 5*c(o). Let s(a) = -7*a + 0 + 3*a + 5. Calculate 4*s(p) + 3*u(p). -p + 2 Let x(w) = -2*w**3 + 4*w**2 + 4*w - 1. Let k(m) = -7*m**3 + 11*m**2 + 11*m - 3. Give -4*k(d) + 11*x(d). 6*d**3 + 1 Let q(o) = o**3 + o**2 + o + 1. Let u(k) = 8*k**3 + 4*k**2 + 6*k + 5. Calculate 5*q(z) - u(z). -3*z**3 + z**2 - z Let m(a) = 2*a - 8. Let q(z) = 3*z - 2*z + z - 7. Let s be 12/10*(-840)/(-48). Suppose 5*c = p - 25, 4*c - p + s - 2 = 0. What is c*q(r) + 5*m(r)? -2*r + 2 Let y(d) = -2*d + 7. Suppose -3*a = 3*v - 15, -5*v = -4*v - 5*a + 25. Let j(x) = -1 + 3*x - x - 5 + v*x. Give -5*j(p) - 4*y(p). -2*p + 2 Let d(a) = a + 1. Suppose w - 3 = u + 1, -u + 2 = -3*w. Let v be d(u). Let x(i) = 0*i + i - 2*i. Let f(b) = 7*b - 1. What is v*x(c) - f(c)? -c + 1 Let z(s) be the first derivative of 1 + 9 - 4 - 4 - s. Let o(w) = -w + 5. Calculate -2*o(u) - 11*z(u). 2*u + 1 Let s(l) = 5*l**2 + 11*l - 8. Let k(h) = -3*h**2 - 6*h + 4. Determine 11*k(y) + 6*s(y). -3*y**2 - 4 Let w(q) = -9*q + 5. Let j(a) = -45*a + 26. What is 2*j(f) - 11*w(f)? 9*f - 3 Let o = -3 + 2. Let u(y) = y - 5. Let r(d) = 1. Calculate o*u(p) - 5*r(p). -p Let j(k) = 3*k + 5. Let o(r) = -7*r - 10. Let g(z) = -5*j(z) - 2*o(z). Let x(u) = 1. Calculate g(b) + 6*x(b). -b + 1 Let n(m) = 3*m - 8. Let z(a) be the third derivative of -a**4/4 + 5*a**3/2 - 10*a**2. What is -11*n(c) - 6*z(c)? 3*c - 2 Let m(k) = -4*k**3 - k**2. Let u be m(-1). Let n(v) = v**2 + v. Let i(b) = 4*b**2 + b. Calculate u*n(x) - i(x). -x**2 + 2*x Let d(c) = c + 9. Let x(a) = -a - 10. Calculate -7*d(t) - 6*x(t). -t - 3 Let i(r) = -5*r - 4. Let k(j) = 2*j + 2. Let f be -10 - -1 - (-3)/1. Let n(p) = f*i(p) - 13*k(p). Let o(v) = -2*v + 1. Calculate 3*n(g) + 5*o(g). 2*g - 1 Let u(z) = -15*z**3 + 3*z**2 - 3*z + 1. Let y(j) = -14*j**3 + 2*j**2 - 2*j. Calculate 2*u(o) - 3*y(o). 12*o**3 + 2 Let m = 1 - 11. Let c(x) = 6*x + 4*x - 5*x - 4*x. Let z(d) = -9*d + 5. Let a(t) = -8*t + 6. Let f(v) = 3*a(v) - 4*z(v). Give m*c(k) + f(k). 2*k - 2 Let h(k) = -k**3 + k**2. Let n(u) = 4*u**3 - 6*u**2 + 5*u. Let i(g) = -g**2 + g + 3. Let s be i(-1). What is s*n(z) + 6*h(z)? -2*z**3 + 5*z Suppose 2*k - 2*l - 1 = k, -4*l + 1 = k. Suppose 0 = g - 6. Let c(v) = -3 + 1 + 1. Let b(z) = z + 5. Determine g*c(q) + k*b(q). q - 1 Let u(n) = -n + 3. Let g(w) = -1. Let i(t) = t + 1. Let s(f) = 5*g(f) + i(f). What is 3*s(d) + 4*u(d)? -d Let i(o) = -16*o - 11. Suppose 0 = z - 3*z - 4. Let v(s) = 3*s + 2. Give z*i(d) - 11*v(d). -d Let y(g) = 8*g**3. Let q(n) = 9*n**3. Let v = 25 + -19. Calculate v*y(m) - 5*q(m). 3*m**3 Let h(o) = 5*o - 3. Let r(y) = y. Let s be r(4). Let l(w) = 0 + s*w - 4 + 2. Determine 3*h(v) - 4*l(v). -v - 1 Suppose 4*i - 2 = 2*w, 0 = -2*i - 4*w + 1 + 15. Let l(m) = 22*m + m**i - 11*m - 12*m. Let u(j) = -6*j**2 + 7*j + 1. Determine -5*l(z) - u(z). z**2 - 2*z - 1 Let t(i) = -29*i**3 - 5*i**2 + 5*i. Let r(f) = -595*f**3 - 102*f**2 + 102*f. What is 5*r(k) - 102*t(k)? -17*k**3 Suppose 0*o + 54 = 6*o. Let c(f) = 4*f - 15. Let s(q) = 2*q - 7. Give o*s(v) - 4*c(v). 2*v - 3 Suppose m + 10 = 2*y + 2*m, 0 = 5*y + 2*m - 23. Let k(r) = -3*r - r + 3*r - 2*r**y. Let d(s) = -s**2 + s. Suppose -105*t + 22 = -116*t. Give t*d(b) - k(b). 2*b**3 + 2*b**2 - b Let j(c) = 63*c - 35. Let z(r) = r - 1. Determine j(x) - 35*z(x). 28*x Let m(x) = -6 + 11*x - 6*x**2 - 5*x + 11*x**2. Let w(k) = k**2 - 7*k + 12 - 5 - 7*k**2. What is -7*m(z) - 6*w(z)? z**2 Let a(m) = 3*m. Let d = 8 + -7. Let t(r) be the first derivative of -r**2/2 + 6. Calculate d*a(v) + t(v). 2*v Let g = 33 + -30. Let b(i) be the first derivative of 3/4*i**4 + 0*i + 2/3*i**3 + 1 - 1/2*i**2. Let t(c) = 4*c**3 + 3*c**2 - 2*c. Determine g*b(u) - 2*t(u). u**3 + u Let x(h) = 5*h + 2. Let n(b) = 85*b + 35. Let v(a) = -2*n(a) + 35*x(a). Let c(m) = 3*m + m + 12*m - 2*m. Calculate -4*c(q) + 11*v(q). -q Let v(i) = 4*i**2 - 5*i + 7. Let s(l) = 3*l**2 - 4*l + 6. Suppose 3*j = 24 + 39. Let q be 108/j - (-2)/(-14). Determine q*s(r) - 4*v(r). -r**2 + 2 Let z(q) = -2*q + 1. Let x(c) = 4*c - 1. Let w(p) = -6*x(p) - 11*z(p). Let a(o) = 4*o + 9. Give 4*a(u) + 7*w(u). 2*u + 1 Let b(m) = 7*m + 4. Let g(v) = 4*v + 2. Suppose -i + 3*i + 12 = 2*j, -9 = -j + 4*i. Let f(a) = -a**2 + 5*a - 5. Let s be f(j). Calculate s*g(w) + 3*b(w). w + 2 Suppose 4*x + 20 = 2*o + 2*o, 5*x + 2*o = -39. Let v(d) = 5*d**3 - 4*d + 7. Let u(i) = 3*i**3 - 2*i + 4. What is x*u(b) + 4*v(b)? -b**3 - 2*b Let w(t) = 460*t - 55. Let o(y) = -17*y + 2. Determine 55*o(z) + 2*w(z). -15*z Let r(h) = 2*h**2 + 5*h - 2. Let i(z) = 2*z**2 + 6*z - 3. What is 2*i(q) - 3*r(q)? -2*q**2 - 3*q Let
{ "pile_set_name": "DM Mathematics" }
*3 + y**2 - 2*y - 36 What is the b'th term of -50103, -50105, -50109, -50115, -50123, -50133? -b**2 + b - 50103 What is the u'th term of -39831, -39832, -39835, -39840? -u**2 + 2*u - 39832 What is the b'th term of -8, -95, -240, -443, -704? -29*b**2 + 21 What is the d'th term of -69, -279, -635, -1143, -1809, -2639? -d**3 - 67*d**2 - 2*d + 1 What is the f'th term of 122, 246, 370, 494, 618? 124*f - 2 What is the f'th term of 67, 19, -33, -89, -149, -213? -2*f**2 - 42*f + 111 What is the b'th term of 434, 864, 1296, 1730, 2166, 2604, 3044? b**2 + 427*b + 6 What is the j'th term of -277, -554, -831, -1108, -1385, -1662? -277*j What is the v'th term of 130, 508, 1136, 2014, 3142, 4520? 125*v**2 + 3*v + 2 What is the v'th term of 20, 78, 172, 302, 468? 18*v**2 + 4*v - 2 What is the o'th term of 14, 49, 108, 191? 12*o**2 - o + 3 What is the g'th term of -16, 44, 104, 164, 224, 284? 60*g - 76 What is the m'th term of -1661, -1662, -1663, -1664, -1665, -1666? -m - 1660 What is the f'th term of -59, -57, -69, -101, -159, -249? -f**3 - f**2 + 12*f - 69 What is the l'th term of 13, 29, 47, 67, 89? l**2 + 13*l - 1 What is the t'th term of -198, -394, -590, -786? -196*t - 2 What is the n'th term of -640, -646, -650, -652, -652, -650? n**2 - 9*n - 632 What is the h'th term of 32, 28, 24, 20, 16, 12? -4*h + 36 What is the v'th term of -18, -87, -202, -363, -570? -23*v**2 + 5 What is the w'th term of -74, -74, -72, -68? w**2 - 3*w - 72 What is the c'th term of 66, 144, 222? 78*c - 12 What is the c'th term of 5, -50, -213, -538, -1079, -1890, -3025, -4538? -9*c**3 + 8*c + 6 What is the s'th term of 389, 400, 425, 470, 541? s**3 + s**2 + s + 386 What is the i'th term of -66, -130, -192, -252, -310? i**2 - 67*i What is the r'th term of 9, 30, 51, 72, 93? 21*r - 12 What is the b'th term of -502, -495, -484, -469, -450, -427? 2*b**2 + b - 505 What is the x'th term of -280, -278, -276, -274, -272? 2*x - 282 What is the x'th term of 59, 105, 151, 197? 46*x + 13 What is the l'th term of -36, -29, -8, 33, 100, 199, 336? l**3 + l**2 - 3*l - 35 What is the a'th term of 12334, 12333, 12320, 12289, 12234, 12149? -a**3 + 6*a + 12329 What is the t'th term of 35362, 35363, 35364? t + 35361 What is the y'th term of -8, 54, 158, 304, 492, 722, 994? 21*y**2 - y - 28 What is the d'th term of 86, 90, 108, 146, 210? d**3 + d**2 - 6*d + 90 What is the f'th term of -25, -53, -99, -163, -245? -9*f**2 - f - 15 What is the p'th term of 166, 401, 634, 865, 1094? -p**2 + 238*p - 71 What is the u'th term of -92, -105, -130, -173, -240, -337, -470, -645? -u**3 - 6*u - 85 What is the f'th term of 179, 346, 511, 674? -f**2 + 170*f + 10 What is the u'th term of -15, -34, -61, -96, -139, -190? -4*u**2 - 7*u - 4 What is the b'th term of -268, -537, -806? -269*b + 1 What is the h'th term of 173, 360, 561, 776, 1005, 1248, 1505? 7*h**2 + 166*h What is the p'th term of -514, -516, -518, -520, -522, -524? -2*p - 512 What is the a'th term of -20, -35, -50, -65, -80? -15*a - 5 What is the b'th term of 25, 59, 117, 199, 305, 435, 589? 12*b**2 - 2*b + 15 What is the c'th term of 0, -11, -34, -75, -140, -235? -c**3 - 4*c + 5 What is the t'th term of -108, -242, -388, -546? -6*t**2 - 116*t + 14 What is the q'th term of 1461, 1460, 1459? -q + 1462 What is the h'th term of -565, -1123, -1669, -2197, -2701, -3175, -3613? h**3 - 565*h - 1 What is the l'th term of 55, 109, 181, 271, 379, 505? 9*l**2 + 27*l + 19 What is the c'th term of -49, -65, -99, -157, -245? -c**3 - 3*c**2 - 45 What is the w'th term of 183, 725, 1635, 2919, 4583, 6633, 9075, 11915? w**3 + 178*w**2 + w + 3 What is the y'th term of -26, -56, -84, -110? y**2 - 33*y + 6 What is the n'th term of -15, -28, -37, -42, -43, -40? 2*n**2 - 19*n + 2 What is the j'th term of 20, -65, -282, -691, -1352, -2325? -10*j**3 - 6*j**2 + 3*j + 33 What is the f'th term of -295, -293, -289, -283, -275, -265? f**2 - f - 295 What is the o'th term of -153, -652, -1471, -2604, -4045, -5788? o**3 - 166*o**2 - 8*o + 20 What is the p'th term of 3820, 3813, 3806, 3799, 3792? -7*p + 3827 What is the w'th term of -3284, -3294, -3318, -3362, -3432, -3534, -3674, -3858? -w**3 - w**2 - 3282 What is the m'th term of -54, -114, -184, -264, -354? -5*m**2 - 45*m - 4 What is the b'th term of 28, 39, 48, 55, 60? -b**2 + 14*b + 15 What is the n'th term of -28, -13, 2? 15*n - 43 What is the g'th term of -38, -29, -6, 37, 106, 207, 346? g**3 + g**2 - g - 39 What is the h'th term of -461, -934, -1407, -1880, -2353? -473*h + 12 What is the v'th term of 11, -33, -111, -229, -393, -609? -v**3 - 11*v**2 - 4*v + 27 What is the m'th term of -66, -5, 60, 123, 178, 219? -m**3 + 8*m**2 + 44*m - 117 What is the h'th term of 34, 66, 100, 130, 150, 154, 136, 90? -h**3 + 7*h**2 + 18*h + 10 What is the d'th term of 14, 29, 46, 65? d**2 + 12*d + 1 What is the f'th term of -28, -20, -6, 14, 40, 72, 110? 3*f**2 - f - 30 What is the u'th term of 290, 289, 288, 287? -u + 291 What is the p'th term of 25, 4, -17? -21*p + 46 What is the x'th term of 332, 330, 328? -2*x + 334 What is the o'th term of -596, -597, -598? -o - 595 What is the d'th term of 39, 79, 119, 159? 40*d - 1 What is the z'th term of 23, 36, 55, 80, 111? 3*z**2 + 4*z + 16 What is the b'th term of -399, -409, -423, -441, -463? -2*b**2 - 4*b - 393 What is the q'th term of -372, -744, -1116? -372*q What is the q'th term of -16, 9, 66, 167, 324, 549? 2*q**3 + 4*q**2 - q - 21 What is the y'th term of 17577, 17580, 17583, 17586, 17589? 3*y + 17574 What is the u'th term of -22, -115, -386, -931, -1846? -16*u**3 + 7*u**2 - 2*u - 11 What is the w'th term of -577, -1162, -1747, -2332? -585*w + 8 What is the r'th term of 23, 31, 41, 53? r**2 + 5*r + 17 What is the t'th term of 20, 26, 44, 80, 140, 230, 356? t**3 - t + 20 What is the l'th term of -38, -39, -40, -41? -l - 37 What is the i'th term of -308, -1107, -2430, -4271, -6624, -9483, -12842? i**3 - 268*i**2 - 2*i - 39 What is the m'th term of -32, -64, -96, -128, -160, -192? -32*m What is the x'th term of -85, -170, -263, -364, -473, -590, -715? -4*x**2 - 73*x - 8 What is the q'th term of -19, -48, -87, -130, -171, -204, -223, -222? q**3 - 11*q**2 - 3*q - 6 What is the x'th term of -194, -387, -572, -743, -894, -1019, -1112, -1167? x**3 - 2*x**2 - 194*x + 1 What is the z'th term of -18, -62, -108, -156? -z**2 - 41*z + 24 What is the t'th term of -18, -52, -98, -162, -250? -t**3 - 27*t + 10 What is the o'th term of 2, 8, 52, 152, 326, 592, 968, 1472? 3*o**3 + o**2 - 18*o + 16 What is the k'th term of 50, 100, 164, 248, 358, 500, 680, 904? k**3 + k**2 + 40*k + 8 What is the n'th term of 1045, 1048, 1053, 1060, 1069? n**2 + 1044 What is the y'th term of 15, 30, 49, 72, 99? 2*y**2 + 9*y + 4 What is the s'th term of 305, 306, 307, 308? s + 304 What is the b'th term of -2, 6, 24, 58, 114? b**3 - b**2 + 4*b - 6 What is the f'th term of 26, 46, 68, 92, 118? f**2 + 17*f + 8 What is the i'th term of 102, 189, 262, 315, 342? -i**3 - i**2 + 97*i + 7 What is the x'th term of 231, 480, 749, 1038, 1347? 10*x**2 + 219*x + 2 What is the c'th term of 211, 377, 553, 745, 959, 1201, 1477, 1793? c**3 - c**2 + 162*c + 49 What is the g'th term of -32, -98, -220, -404, -656, -982? -g**3 - 22*g**2 + 7*g - 16 What is the z'th term of 507, 2008, 4503, 7986, 12451, 17892? -z**3 + 503*z**2 - z + 6 What is the w'th term of 362, 368, 388, 428, 494, 592? w**3 + w**2 - 4*w + 364 What is the i'th term of 5, -22, -121, -328, -679, -1210? -6*i**3 + 15*i - 4 What is the f'th term of -44, -83, -122, -161? -39*f - 5 What is the s'th term of 114, 233, 352, 471? 119*s - 5 What is the y'th term of -959, -1903, -2833, -3743, -4627, -5479, -6293, -7063? y**3 + y**2 - 954*y - 7 What is the r'th term of 12, -16, -44, -72, -100? -28*r + 40 What is the d'th term of 998, 997, 996, 995? -d + 999 What is the b'th term of -32, -34, -36, -38, -40, -42? -2*b - 30 What is the y'th term of -10, -41, -124, -283, -542, -925, -1456, -2159? -4*y**3 - 2*y**2 + 3*y - 7 What is the q'th term of 1628, 3264, 4900, 6536, 8172, 9808? 1636*q - 8 What is the s'th term of -48, -53, -56, -57, -56? s**2 - 8*s - 41 What is the m'th term of -173, -166, -155, -140, -121, -98, -71? 2*m**2 + m - 176 What is the h'th term of -111, -109, -95, -63, -7, 79, 201? h**3 -
{ "pile_set_name": "DM Mathematics" }
u + o. Suppose -4*x = 2*d - 3*d - 38, -u*x + 4*d + 42 = 0. Calculate the greatest common factor of 4 and x. 2 Suppose 0 = v + 3*h - 52 - 44, -4*v + 2*h = -370. What is the highest common factor of 3534 and v? 93 Suppose 0*i + 3*r + 4 = 4*i, 3*i = r + 8. Suppose 0 = -5*c - 1 + 6, -i*b - 2*c = -30. What is the highest common divisor of b and 49? 7 Let d(t) = -32*t**2 - 8*t - 10. Let q be d(-2). Let o = -73 - q. Calculate the greatest common factor of 98 and o. 49 Suppose -h + 1 + 2 = 0. Suppose -c - 4 = 2*q, 4*q + 17 = -c + h. Calculate the greatest common divisor of c and 42. 6 Let c be (-2)/(-7) + 156/(-7). Suppose 0 = -z + 4*s + 36, -3*z + 0*s = s - 160. Let x = c + z. Calculate the highest common divisor of x and 12. 6 Let d(n) = 5*n**2 - 14*n - 36. Let b be d(-6). What is the greatest common divisor of 627 and b? 57 Let x(h) be the first derivative of h**3/3 + h**2/2 + 8*h - 7. Let z be x(-4). What is the greatest common factor of z and 140? 20 Let f be (-3 - 15/20)/(1/(-8)). Calculate the highest common divisor of f and 162. 6 Suppose w - 6*w = -55. Suppose -w = 5*v - 86. Suppose 3*b = -b + 540. Calculate the greatest common divisor of b and v. 15 Let a = 1 + 75. Suppose -4*j + 23 = s, -4*j + 0*s + 2*s + 26 = 0. Suppose -j*l + 0*l = -114. What is the highest common factor of l and a? 19 Let f be 1/((5 + -4)/(-14)). Let g = f + 17. Suppose 1 = -g*m + 4. Calculate the highest common divisor of 3 and m. 1 Let y(q) = q**2 - 16*q + 14. Let k be y(15). Let g be 5/k*(-54)/30. What is the highest common divisor of g and 9? 9 Suppose 2*z + 2*z + 4*q - 4 = 0, 2*z + q = 7. Suppose 80 = z*n - 2*n. Let r be 45/n + 2/(-8). Calculate the highest common factor of 2 and r. 2 Let z(t) = t**3 + 11*t**2 + 4*t - 23. Let c be z(-10). Calculate the highest common factor of c and 1. 1 Suppose 16*g = 656 + 352. What is the greatest common factor of g and 27? 9 Let m = -133 + 134. Calculate the greatest common divisor of m and 4. 1 Let i(c) = -157*c - 5. Let g(z) = -158*z - 6. Let o(p) = 4*g(p) - 5*i(p). Let n be o(1). Calculate the highest common factor of 14 and n. 14 Let r(t) = 8*t**2 + 90*t - 9. Let s be r(-15). What is the greatest common divisor of s and 392? 49 Let a = -13 - -69. Suppose 0 = -2*d + 2*n + 14 - 18, 22 = 7*d - 3*n. What is the greatest common factor of a and d? 7 Let g be (-2 - -55) + (-17 - -18). What is the highest common factor of g and 837? 27 Let g(x) = -7*x - 225. Let p be g(-43). Calculate the highest common divisor of 95 and p. 19 Let m(z) = 17*z + 74. Let w(u) = 11*u + 49. Let s(l) = -5*m(l) + 7*w(l). Let f be s(-5). What is the greatest common divisor of f and 13? 13 Suppose -4*b + 482 = 2*u, u - 288 = -3*b - 50. What is the highest common divisor of u and 95? 19 Let w(o) = 15*o + 11. Let a be w(9). Suppose -a + 34 = -4*y. Suppose 0 = -4*z + 8 + 8. Calculate the greatest common factor of y and z. 4 Let u be -4 - (-3 - (-1 - -4)). Let r = u + 12. Calculate the greatest common divisor of r and 126. 14 Let y = 13 + -11. Suppose -3*r + 5*r + 5*m = 190, y*r = 3*m + 222. Calculate the greatest common divisor of r and 15. 15 Let f = -376 - -394. Let n(b) = -b**3 - 5*b**2 - 7*b - 5. Let c be n(-4). Suppose -c*d + 10*d - f = 0. Calculate the greatest common factor of d and 30. 6 Suppose 2*m - 8 + 0 = 0. Suppose 5*p + 44 = 3*x, 0 = m*p + 24 - 8. What is the highest common factor of x and 32? 8 Let w = -154 + 159. What is the greatest common divisor of 15 and w? 5 Suppose 2*g - 25 = -4*l + 39, 8 = -4*g. Suppose 0 = 2*y + 9 - l. Let a(u) = u**2 + 4*u + 4. Let t be a(4). Calculate the greatest common divisor of y and t. 4 Let a(i) = 7*i**2 + 17*i. Let g be a(-5). What is the greatest common factor of 10 and g? 10 Suppose 7*v = 191 - 2. What is the greatest common factor of 63 and v? 9 Let q = 1794 - 1786. Calculate the highest common divisor of q and 364. 4 Let n be ((-9)/2 + -6)*-4. Calculate the greatest common divisor of 518 and n. 14 Let v = -41 - -17. Let q = 44 + v. What is the greatest common divisor of q and 50? 10 Let r(z) = -z**3 + 10*z**2 - 20*z - 13. Let i be r(6). What is the highest common divisor of i and 17? 1 Suppose 0 = k - 24 - 0. Let h(l) = 2*l**2 + 29*l - 3. Let t be h(-15). Calculate the greatest common factor of k and t. 12 Suppose -z - 40 = -2*f + 175, 0 = f + 3*z - 111. Let n(x) = x + 12. Let u be n(6). Calculate the greatest common factor of u and f. 18 Suppose -1764 = -8*s - 13*s. Calculate the highest common divisor of s and 48. 12 Let p be ((-12)/18 - (-2)/3) + 539. Suppose -3*b + p = 4*b. What is the highest common divisor of 7 and b? 7 Let b = 586 + -352. Calculate the highest common factor of 26 and b. 26 Let b(t) = -2*t. Let s be b(-1). Suppose -5*r = j - r - 8, 0 = -4*j + s*r + 14. Let d = j + 8. What is the highest common factor of 12 and d? 12 Let k = 202 + -194. Calculate the highest common divisor of k and 16. 8 Let a(z) = -12*z + 117. Let p be a(3). What is the greatest common factor of 45 and p? 9 Suppose 4 = -g + 3*f - 0*f, 0 = -5*f + 15. Suppose -l = g*i - 8, 0 = 2*l - 7*l + 5*i + 70. Calculate the highest common divisor of l and 65. 13 Suppose 2*n - y - 8 = 0, 0*n - y = 5*n - 6. Suppose -62 = 19*z - 81. What is the highest common factor of n and z? 1 Let y(g) = -3*g**3 - 13*g**2 - 6*g + 15. Let f be y(-8). Calculate the highest common factor of 13 and f. 13 Suppose 4*i = 20 + 12. Let d be ((-4)/10)/(i/(-2160)). What is the highest common divisor of 12 and d? 12 Let a = 226 + -206. Calculate the highest common factor of 1360 and a. 20 Let w(n) = n**2 + 27*n + 82. Let u be w(-24). Calculate the highest common divisor of u and 2. 2 Suppose -6*r = 7 - 1. Let x be 18*r/((-8)/12). Let h(n) = 215*n + 1. Let q be h(1). What is the highest common divisor of x and q? 27 Suppose -d + 5*d + 192 = 2*c, 3*c + 2*d = 288. What is the highest common divisor of 9 and c? 3 Suppose 0 = -5*c + 4*v + 398, -c + 5*v = c - 166. Calculate the highest common factor of c and 91. 13 Let o(b) = 13*b - 45. Let p be o(7). Calculate the greatest common factor of 2944 and p. 46 Let z be 3/12 - 14/(-8). Suppose -212 + 30 = -z*y. Calculate the highest common divisor of y and 13. 13 Let f be (32/112)/(1/14). Suppose f = 2*l - 2. Suppose 0 = -4*h + 10 + 6, 3*z = l*h. Calculate the greatest common divisor of 10 and z. 2 Suppose -4*r = -16, -2*d - r = -d - 25. Calculate the highest common divisor of d and 777. 21 Let j be ((-27)/4)/(4/16). Let c = 48 + j. Let k be 285/c + (-12)/(-28). What is the highest common divisor of 42 and k? 14 Let t = -1447 + 2477. Let s = t + -688. What is the greatest common divisor of s and 38? 38 Let d be (-75*(-12)/18)/((-8)/(-20)). What is the greatest common divisor of d and 5? 5 Suppose 4821*u = 4806*u + 510. Calculate the highest common divisor of 1 and u. 1 Suppose 58 = 3*g - 74. Let m = g + 16. Calculate the greatest common divisor of m and 40. 20 Let l be -4 + (-3)/3*4. Let a = l + 26. Calculate the highest common divisor of a and 162. 18 Let t(o) = 32*o**2 - 31 + 0*o**3 - 18*o**2 - 10*o - 4*o**3 + 3*o**3. Let r be t(13). What is the highest common divisor of 72 and r? 8 Let h be ((-69)/2)/(6*(-4)/160). Let l = h - 162. Calculate the highest common factor of 4 and l. 4 Let i(r) = 4*r**2 - 34*r + 15. Let v be i(10). Calculate the greatest common divisor of 100 and v. 25 Let k = -12 + 25. What is the highest common factor of 13 and k? 13 Let t = -6 + 5. Let b be t + (8 + -4 - 7). Let j be b/20*(-1 + -4). Calculate the greatest common divisor of 3 and j. 1 Let a be 53*-1*-1 - 2. Let s = a + 3. Let c be 3 + 0 - (-5 - -2). What is the highest common divisor of c and s? 6 Let l(d) = 23*d - 94. Let p be l(10). What is the highest common factor of 34 and p? 34 Let h be (-37)/(-7) - (-3 + 92/28). Suppose -2*u + 407 = 3*v, 82 = 4*v - h*u - 453. What is the greatest common divisor of 54 and v? 27 Suppose -82 - 197 = -3*l. Calculate the highest common factor of l and 124. 31 Let w be (-754)/(-30) - (-2)/(-105)*7. Calculate the greatest common factor of w and 175. 25 Let z(x) be the third derivative of x**4/8 + 33*x**3/2 - 6*x**2. Let a be (-1)/(-1)*-1 - -1. Let h be z(a). What is the highest common divisor of 11 and h? 11 Suppose 0 = 5*v - 32 + 12. Calculate the greatest common divisor of v and 14. 2 Suppose 52*r +
{ "pile_set_name": "DM Mathematics" }
*(16/12)/4? -1/4 Evaluate (3/(-36)*-8)/(3/27). 6 Evaluate ((-8)/(-2))/(-17*50/25). -2/17 What is the value of (1/4)/(972/432)? 1/9 Evaluate 48/(-24)*(-2)/48*2. 1/6 (6/63)/(3/21*1) 2/3 What is 9*-6*4/24? -9 -1*(25/5)/(-30)*-30 -5 ((-45)/(-135))/((-5)/9) -3/5 Calculate (2/2*1)/((-120)/24). -1/5 What is the value of (10/(-15))/(2/6)? -2 (2*(-6)/15)/(10*1) -2/25 Evaluate ((-5)/350)/(11/(-110)). 1/7 Evaluate ((-6)/(-28))/((250/20)/(-25)). -3/7 Evaluate 3/6*5*(-32)/20. -4 Evaluate (12/(-4))/3*-1*1. 1 What is the value of (42/245)/(7/(700/(-15)))? -8/7 Calculate ((-8)/(-10))/((-2)/(-10)). 4 What is the value of ((-10)/270*-9)/(-1)? -1/3 What is 3/(((-135)/10)/(-9))? 2 Evaluate (3/9)/(((-27)/12)/9). -4/3 What is (29/174)/(7/42)? 1 What is the value of (-160)/(-352)*22/2? 5 What is the value of 3*-2*(8/12)/(-2)? 2 (3/1)/((-1)/(-6)*9) 2 Evaluate ((-3)/1)/(4/(-4)). 3 What is the value of 16/14*(-959)/(-274)? 4 Evaluate 112/(-140)*(-5)/(-14). -2/7 ((-10)/(-1)*100/(-250))/10 -2/5 What is ((-33)/11)/((-189)/(-28))? -4/9 Calculate (2/(-1))/(3/(9/30)). -1/5 What is 8/(-6)*(-54)/72? 1 What is the value of ((-588)/420)/((-8)/(-10))? -7/4 What is the value of (6*(-6)/128)/(3/4)? -3/8 13/(2275/(-10))*5 -2/7 (19/114)/((-3)/12) -2/3 What is the value of (12/(-63))/(1/((-7)/2))? 2/3 11/(-33)*6/((-4)/2) 1 Calculate -3*16/12*1/4. -1 Evaluate (((-4)/(-6)*6)/(-2))/(-10). 1/5 What is (6/(-4))/(22/88)? -6 (((-55)/10)/11)/((-1)/2) 1 What is 6/(-11)*(20/15)/(-4)? 2/11 What is the value of (85/(-51))/((-5)/(-3))? -1 2*2*(-2)/36 -2/9 Evaluate (10/160)/((-2)/12). -3/8 (2/3)/(2/(-2))*6 -4 (2/1)/(21/(-3)*1) -2/7 What is the value of ((-9)/24)/(9/6)? -1/4 Evaluate (-60)/20*6/9. -2 Evaluate (-5)/4*(-24)/840*7. 1/4 Evaluate 10/(-16)*168/(-84). 5/4 What is the value of 468/104*4/(-3)? -6 Evaluate 89/(-89)*(-33)/(-3). -11 Evaluate (9/(-2))/((-198)/(-24)). -6/11 What is the value of (12*(-5)/(-40))/((-6)/20)? -5 What is the value of 1*8/(-12)*36/8? -3 (15/10)/((-108)/(-16)) 2/9 Evaluate (3/30*-2)/1. -1/5 (-3)/((2/(-4))/(42/28)) 9 What is (9/2)/((-7)/(42/(-9)))? 3 What is (((-165)/10)/(-11))/((-6)/(-8))? 2 Evaluate (18/(-60)*-5)/((-3)/14). -7 Evaluate (-6)/(-36)*3/(-1)*4. -2 Evaluate (-2)/10*1*-2. 2/5 Evaluate 2/36*519/173. 1/6 Calculate ((54/9)/(-12))/(1/14). -7 6/40*(-5)/(-45)*-6 -1/10 What is the value of (-2)/12*(-6)/(-3)*0? 0 What is the value of (0/10)/(2*2/2)? 0 Evaluate (((-12)/10)/((-3)/10))/(-1). -4 What is (((-18)/35)/(21/98))/(-2)? 6/5 ((-1)/((-40)/128))/((-8)/20) -8 What is (-30)/18*18/10? -3 Evaluate ((-7)/21)/(4*(-4)/(-96)). -2 Calculate (-12)/4*6/(-45). 2/5 Calculate (-9)/144*-8*8/1. 4 83/(-249)*3*4 -4 (-3)/2*(-4)/(-24) -1/4 What is the value of (5/(-2))/(5/(-2))? 1 Calculate 1*(-3)/(-6)*6. 3 What is the value of ((4/4)/1)/(1/3)? 3 Calculate ((-2)/8)/(55/165). -3/4 What is the value of (-1)/(2/8*-10)? 2/5 Evaluate ((66/(-2))/(-11))/(2/(-2)). -3 What is 3/(1/(2/2))? 3 Calculate (0/26)/(1*2/2). 0 Evaluate (1*(-5)/15)/(3/63). -7 What is 42/(-18)*24/(-56)? 1 What is the value of (-30)/12*5/((-5)/(-2))? -5 Calculate ((-2)/8)/(38/(-16)). 2/19 What is ((-256)/192)/(2/6)? -4 What is the value of (2/(-30))/(46/(-460))? 2/3 Evaluate -1*6/(-6)*1. 1 Calculate (-32)/40*((-6)/(-2))/(-3). 4/5 Evaluate (((-182)/(-21))/(-13))/((-4)/18). 3 What is (6/(-14))/((-1)/21*-6)? -3/2 What is the value of 4/(-8)*-3*8/90? 2/15 What is the value of ((-15)/10)/((-312)/32)? 2/13 ((-1)/4)/((-377)/232) 2/13 (-1)/(4/((-256)/(-8))) -8 Calculate 5*(6/4)/((-120)/96). -6 Evaluate -18*1*(-1)/2. 9 Calculate 20/(-2)*3/(-6). 5 What is ((-12)/((-14)/7))/((-81)/(-18))? 4/3 What is (((-180)/(-75))/(-12))/((-1)/(-2))? -2/5 Calculate (0/3)/(3/(-3)). 0 What is ((-6)/(-3))/((-5)/5)? -2 (((-6)/(-4))/(-3))/(203/58) -1/7 ((-3)/2)/(-10*(-1)/20) -3 What is the value of 2/8*448/(-28)? -4 Calculate (-3)/6*-2*8/(-32). -1/4 What is the value of (5/((-100)/6))/((-6)/5)? 1/4 What is the value of ((-25)/((-1400)/48))/(-3)? -2/7 What is (-35)/15*18/189? -2/9 (0*(-1)/(-8))/(-1) 0 What is ((-9)/(-99)*0)/2? 0 (-2)/(-6)*(-4)/2 -2/3 What is the value of (-4)/(-18)*(-513)/(-114)? 1 What is (((-12)/14)/3)/((-513)/(-798))? -4/9 What is (-12)/1*((-4)/(-1))/(-16)? 3 Calculate (10/25)/(1/10). 4 ((-5)/(-95))/(1*4/(-8)) -2/19 (-1)/((56/(-48))/(1/(-2))) -3/7 Calculate (-130)/(-39)*(-2)/30. -2/9 Calculate ((-1)/1)/(8/24). -3 What is ((-11)/(-187))/(4/8)? 2/17 Evaluate (4/8)/((18/4)/3). 1/3 What is the value of 42/105*5*1? 2 (30/(-12)*4)/2 -5 Evaluate 110/44*10/5*-2. -10 Evaluate 2*((-4)/(-30))/((-32)/(-20)). 1/6 Evaluate (2/2)/(-3)*-1*15. 5 (66/(-77))/((-6)/28) 4 What is the value of 3/2*10/(-35)? -3/7 What is (-27)/(-36)*((-8)/(-6))/2? 1/2 Calculate 21*3/9*1/(-1). -7 What is 10/9*3*2/10? 2/3 Evaluate ((-14)/35)/(((-15)/6)/(-5)). -4/5 What is the value of 7*1/14*-8? -4 (2/18)/((1/(-6))/(-1)) 2/3 What is 23/138*162/3? 9 What is 0*((-28)/7)/(-20)? 0 (-1)/1*(-7)/(21/4) 4/3 Calculate (-4)/(-8)*1*0/1. 0 What is the value of (-9)/9*(-5)/(-1)? -5 Calculate (((-32)/(-14))/(-4))/((-8)/(-28)). -2 Calculate (-6)/(12/(-16)*-6). -4/3 What is (10/(-56))/5*28/7? -1/7 Evaluate (2/(-4))/(3/18). -3 Evaluate (-12)/99*(9/(-2))/(-3). -2/11 What is the value of 3*3/(-6)*6/18? -1/2 Evaluate ((-54)/(-96)*(-4)/6)/3. -1/8 Calculate (3/9)/(5/45). 3 3/(6/(-2)*-1) 1 Calculate (-5)/3*(-9)/90. 1/6 What is the value of 6/(3/12*(-18)/(-3))? 4 Evaluate (-5280)/(-440)*((-1)/2)/(-1). 6 What is the value of 3*35/14*(-10)/(-15)? 5 What is the value of (5*(-60)/1125)/(16/(-10))? 1/6 Calculate 20/(-100)*((-1)/1)/1. 1/5 What is the value of ((-17)/34)/((-2)/20*1)? 5 What is (7*6/84)/1*-2? -1 10/(-4)*(-4)/(-65) -2/13 1/((-24)/80)*(-3)/2 5 Calculate (2/(-16))/((-1)/(-6)). -3/4 What is (12/(-66))/(1*4/(-44))? 2 Evaluate (3/3)/(-1)*-5. 5 What is ((-2)/(-4))/(-1*3/30)? -5 (1/3)/(6/(-9)) -1/2 Calculate (-7*(-8)/84)/(-1). -2/3 What is the value of (-10)/(-12)*324/540? 1/2 What is the value of (2/((-32)/(-72)))/((-9)/(-12))? 6 What is ((12/1)/(-24))/(3/30)? -5 Calculate (-18)/9*10/(-5). 4 What is the value of 16/2*(-5)/20? -2 Evaluate (132/(-11))/(-60)*-1. -1/5 Evaluate (-9)/(-315)*14*5. 2 (-6)/28*((-420)/45)/(-14) -1/7 What is 12/(-6)*(-2)/20? 1/5 What is -6*1/2*10/(-285)? 2/19 Calculate ((231/140)/11)/((-6)/5). -1/8 ((-2)/8)/(3/(-2)) 1/6 What is the value of (12/90)/(4/40)? 4/3 Calculate 1/((12/8)/((-18)/12)). -1 (-2)/(-4)*38/(-133) -1/7 (0/1)/((-13)/((-26)/(-4))) 0 Evaluate (1*-2)/(6*(-15)/6). 2/15 What is the value of ((-10)/(-75)*6)/((-2)/5)? -2 What is the value of (-2)/80*4*(-25)/3? 5/6 What is (-14)/((-84)/(-18))*(-2)/9? 2/3 What is 4/(-6)*(-90)/12? 5 What is (-2)/4*(-17)/(85/4)? 2/5 (-30)/45*-2*10/(-8) -5/3 (190/114)/(2/6) 5 Evaluate (3/(-150))/(((-44)/16)/11). 2/25 What is the value of 3/(-2)*(-102)/(-255)? -3/5 What is (-78)/13*(-2)/3? 4 What is (-8)/3*(-42)/28? 4 Evaluate 9/30*(-14)/(-21). 1/5 What is 28/2*(-28)/(1120/(-20))? 7 Calculate (-42)/63*(-9)/(-3). -2 What is the value of (1/(-4))/(-5*(-27)/(-360))? 2/3 -3*8/(-216)*-2*1 -2/9 Calculate (-15)/3*8/20. -2 (1/7*-6)/(4/(-14)) 3 What is the value of (-380)/(-76)*6/10? 3 1/(2/(-8)*-2) 2 What is (-9)/2*(-6)/9*-1? -3 Calculate ((6/8)/(-1))/(18/16). -2/3 What is the value of ((-4)/2)/((224/(-24))/7)? 3/2 Evaluate (((-4)/(-48))/((-3)/(-24)))/(-2). -1/3 3/3*1/(-5) -1/5 Evaluate (-10)/10*1*-4. 4 Evaluate (36/270)/((-2)/3*-1). 1/5 What is ((-3)/1*1)/((-105)/(-14))? -2/5 7/(-14)*16/(-76) 2/19 What is the value of (-4)/10*(-705)/564? 1/2 What is the value of -14*(-9)/252*1*-1? -1/2 What is 6/2*(-1)/(-1)*-1? -3 Evaluate ((-6)/33)/((-4)/(-6)). -3/11 What is ((-15)/10)/(3/16)? -8 Evaluate (-16)/88*4/8. -1/11 What is the value of ((-270)/(-315))/(((-3)/21)/1)? -6 Calculate (-64)/(-56)*105/(-270). -4/9 Evaluate (-10)/(-810)*9*(-3)/(-1). 1/3 What is ((-14)/(-49))/(12/(-315)*-9)? 5/6 Calculate (7/(525/(-10)))/(25/(-150)). 4/5 Calculate (-210)/(-63)*(-3)/2. -5 Calculate ((4/(-5))/(-2))/(4/(-20)). -2 What is the value of 4*-12*13/(-11544)? 2/37 What is ((-2)/3)/(18/(-36))? 4/3 7*(-4)/(-70)*1*10 4 Calculate (10/6)/(12/36). 5 What is ((-19)/(-114))/(9/30)*3? 5/3 What is the value of 1/2*0/22? 0 What is the value of ((-5)/((-30)/(-4)))/((-4)/(-30))? -5 ((-125)/(-125))/((2/3)/2) 3 What is the value of ((-2)/(-5))/((-4)/2)? -1/5 What is (((-3)/(-3)
{ "pile_set_name": "DM Mathematics" }
st common factor of f and q? 5 Suppose -44*d + 33 = -43*d - 3*t, 5*t = -3*d + 99. Let b be 2/(1/(11/2)). What is the greatest common divisor of b and d? 11 Let s(p) = 2*p**2 - 4*p + 1. Let h(b) = b**2. Let x(c) = h(c) - s(c). Let n be x(2). What is the highest common divisor of n and 12? 3 Let x = 14 + -2. Calculate the highest common divisor of 36 and x. 12 Suppose 5*x + 10 = 25. Suppose -361 + 37 = -x*m. Calculate the highest common factor of m and 12. 12 Let t be (-3248)/(-126) - (-2)/9. Calculate the highest common factor of t and 104. 26 Let g = 7 + 27. Suppose h - g = -0*h. Suppose 0 = 2*j - 2*s - 34, -3*j - 51 = -6*j - s. What is the highest common factor of h and j? 17 Suppose 11 = 2*i - 1. What is the highest common divisor of i and 12? 6 Suppose 3*o = 12, -u = 2*o - 4*o - 181. Let c = 87 + 60. Suppose 0 = -5*g - 42 + c. Calculate the greatest common factor of g and u. 21 Suppose 4 = 2*r - 0. Let t be r + -2 + 97 + 1. What is the highest common divisor of t and 14? 14 Let z = 9 + -2. Suppose -13 - z = -2*l. Let d(v) = 31*v - 1. Let x be d(1). What is the greatest common factor of l and x? 10 Let d = -13 - -18. Suppose 0*x - 5*x + 275 = 0. Let k = x - 35. What is the highest common factor of d and k? 5 Let r = -12 - -20. Let g be 14/7 - (2 + -88). Calculate the greatest common divisor of g and r. 8 Let x = -27 - -28. Calculate the greatest common divisor of x and 11. 1 Let z(g) be the first derivative of -g**4/4 - 5*g**3 + 6*g**2 - 8*g + 3. Let p be z(-16). Calculate the highest common divisor of p and 8. 8 Let u = 19 - 10. What is the highest common factor of 99 and u? 9 Let i = 5 + 9. Calculate the greatest common divisor of 7 and i. 7 Let f be (0 + 2)/2 + 2. Suppose -5*h - 18 = -2*l, -19 = -2*l + f*h + 3. Calculate the highest common divisor of 112 and l. 14 Let c(v) = v**3 - 4*v + 3. Let i be c(2). Suppose 0 = 5*b - b + 84. Let s = 42 + b. Calculate the highest common divisor of s and i. 3 Suppose -2 = -3*x - 5*y, -x - 3*y = 2*y - 4. Let r be 30 - (-4 + 2 + x). Calculate the greatest common divisor of r and 22. 11 Let k(a) = -a**2 + 7*a + 11. Let l be k(8). Let o be l/(((-2)/(-2))/7). Let h = o + -14. Calculate the greatest common divisor of h and 77. 7 Let h(g) = g**2 + 4*g - 1. Let v be h(-6). Calculate the greatest common factor of 33 and v. 11 Suppose 5*r = -79 - 31. Let v be (-26)/r + (-6)/33. Calculate the highest common factor of v and 8. 1 Let r = 27 - 20. Suppose -r*u + 12*u - 85 = 0. Calculate the highest common factor of 68 and u. 17 Suppose 2*m + 1068 = -2*m. Let x = m + 397. Suppose -4*l - l = -x. What is the highest common factor of l and 65? 13 Suppose 0 = -k + 5*f - 17, 4*k - 4 = 3*f - f. Calculate the greatest common divisor of 12 and k. 3 Suppose -3*r = -93 + 18. Calculate the greatest common factor of 200 and r. 25 Suppose 0 = 2*h - z - 269, 672 = 5*h - 3*z - 0*z. What is the highest common divisor of 27 and h? 27 Let t = 28 - 12. Suppose -2*g = 4*x - t, 3*g - 4*x - 44 = -0*g. What is the greatest common divisor of 12 and g? 12 Let k be 0 - 3/(3/(-2)). Suppose 2*q + l - 2 - 15 = 0, -2*l = -k. Suppose -2*n + g = -22, -5*n = 5*g + q - 33. Calculate the highest common divisor of n and 72. 9 Suppose -11 = -3*v - 2*d, 0 = 5*v - 5*d - 50 - 10. Let l(c) = c**2 + 3*c - 7. Let t be l(-5). Let m = t - -4. What is the greatest common factor of v and m? 7 Suppose -3*w + 2*x + 28 = -7, 2 = x. Suppose -3*f = -w - 17. Calculate the highest common divisor of f and 5. 5 Let h(t) be the second derivative of t**4/12 + 7*t**3/6 - 11*t**2/2 + 2*t. Let x = -6 + -3. Let z be h(x). What is the greatest common divisor of z and 21? 7 Let r = -3 - -19. Let w(k) = 22*k + 40. Let z be w(4). What is the highest common divisor of z and r? 16 Suppose 72 = 4*o - 2*o. Let u = 1 - -2. Suppose 3*x + 2*m - 128 = -2*x, u*m + 12 = x. Calculate the highest common divisor of x and o. 12 Let k = 4 - -4. Suppose -1 = 3*h - 5*z - 92, -3*h + 85 = -2*z. Suppose h = r - 5. Calculate the greatest common divisor of r and k. 8 Let s be (-205)/(-10) - 1/2. Let n = -456 + 254. Let c be n/(-4) - 3/6. What is the greatest common divisor of s and c? 10 Suppose 0 = 4*n - 0*n - 432. Suppose -5*i + 4*c + 56 = -16, 3*i - 42 = 2*c. What is the greatest common divisor of n and i? 12 Suppose 0 = -w + 6 - 3. Let a be 4*(w - (0 - -2)). Suppose -c - 3*g + 8*g = -113, 0 = -4*c - a*g + 524. Calculate the highest common divisor of 16 and c. 16 Suppose -2*m + 3*m - 18 = 0. Suppose -2*n = 2*n - 24. Suppose 4*o - 2 = n. Calculate the greatest common factor of m and o. 2 Let a(c) = -c**2 - 5*c + 2. Let x be a(-5). Calculate the greatest common divisor of 3 and x. 1 Let y(k) be the third derivative of -5*k**4/12 - k**3/3 + 3*k**2. Let s be y(-2). Calculate the greatest common divisor of s and 9. 9 Let g(h) = -3*h - 9. Let m be g(-11). Calculate the highest common factor of 56 and m. 8 Let h = 33 - -7. Let z = 3 - 8. Let o be -1 + -1 + 1 - z. Calculate the highest common divisor of o and h. 4 Suppose -5*u - 3*x + 260 = -5*x, 5*u - 260 = -5*x. Calculate the greatest common factor of 4 and u. 4 Let x(j) = -18*j + 1. Let d be x(-3). What is the greatest common divisor of 11 and d? 11 Let u = 12 - 9. Let m(q) = 19*q - 1. Let l be m(u). Suppose 0*x + x = l. What is the highest common divisor of x and 8? 8 Suppose -3*c = -h - 22, -3*h - 38 = 2*h + 3*c. Let p = 16 + h. What is the greatest common factor of p and 12? 6 Suppose 0 = 4*r - 2 - 18. Suppose 2*p + 2*k = -3*p + 323, r*k = 20. What is the greatest common factor of p and 7? 7 Suppose -i = i. Suppose -y - 5 + 25 = i. What is the highest common factor of 50 and y? 10 Suppose 4*z = 3*z + 157. Suppose -z = -3*d - 31. What is the highest common divisor of d and 6? 6 Let r be 2/(-4 - (-2)/1). Let w be (0/r)/(-2) + 42. Suppose l + 4*x - 12 = 2, 0 = 3*l + 3*x - w. What is the highest common factor of 70 and l? 14 Let r be (-2)/(-6) - (-22)/6. Let j be (-6)/4*r/6. Let f be 11/(j - (-4)/2). What is the highest common factor of f and 1? 1 Let c = 11 - -1. Suppose -21 = -3*y + c. Let k be 1/(-3) + 696/9. What is the highest common divisor of y and k? 11 Let n(s) = s**2 + s + 9. Let m be n(0). Let c = -48 - -75. Calculate the highest common divisor of m and c. 9 Suppose 0 = -5*q + c + 1, -q + 5 = -5*c - 0. Let y be -3 - (q/(-2) + -5). Let t be ((-4)/3)/(y/(-12)). What is the highest common factor of 40 and t? 8 Let l(x) = -x**2 - 8*x. Let a be l(-6). Suppose -3*n = -2*j - 8*n + 52, -2*n = -2*j + 66. Suppose 5 + j = 2*z. Calculate the highest common factor of z and a. 6 Suppose 7 = 3*g - 38. Let h be -2*g*3/(-6). What is the highest common divisor of 5 and h? 5 Let w = 2 - 5. Let i be ((-1)/w)/((-1)/(-9)). Suppose -v - 22 = -i*s, -7*v + 2 = -2*s - 3*v. Calculate the greatest common divisor of 18 and s. 9 Let o = -2 + 6. Let i be (o + -28)*(-1)/2. Calculate the highest common divisor of i and 108. 12 Let q be 39/(-26)*(-24)/9. Calculate the greatest common factor of 40 and q. 4 Let g(a) = 12*a - 20. Let v be g(8). What is the highest common divisor of v and 114? 38 Suppose 3*n + 263 = 11. Let x = 34 + -76. Let m = x - n. What is the highest common factor of 28 and m? 14 Let i(w) = 104*w**2 - 2*w + 2. Let o be i(1). What is the greatest common divisor of 13 and o? 13 Let m be (-4)/6*(-158 - 4). What is the highest common factor of 12 and m? 12 Let a(v) = -v + 14. Let n be a(8). What is the greatest common divisor of 2 and n? 2 Let g be (-558)/(-8) + (-2)/(-8). Suppose -63 = 2*p - 83. Calculate the highest common divisor of g and p. 10 Let l be 248/6 + (-4)/3. Calculate the greatest common factor of 60 and l. 20 Let q be 30/(-135) + 119/9. What is the highest common divisor of q and 13? 13 Let t be (1 + -1)*4/8. Let b be (-15 - t)*(-2)/(-5). Let v be -3*2/b - -1. What is the greatest common factor of v and 1? 1 Let m = 204 - 52. Let i = -27 + 46. Let a be (i/(-4))/(1/(-4)). Calculate the highest common factor of m and a. 19 Suppose 120 = 5*j + f, -3*f - 96 = -4*j - 0*f. Let x be 174/15 - (-4)/10. Calculate the highest common divisor of j and x. 12 Let h = 5 + -7. Let a be h*(-3)/(-2) - 6. Let j = 19 + a. Calculate the greatest common divisor of j and 4. 2 Let j = 3 + -1. Suppose -19 = -2*y + 5*c, c + j = -3*y + 5. Let v(m) = 5*m - 12. Let n be v(3
{ "pile_set_name": "DM Mathematics" }
0*a**2 + 0 + 4*a. Let s(z) = 8*z. Determine l(s(o)). 8*o Let m(l) = 7*l. Let q(k) = -4*k + 5*k - 2*k. Calculate q(m(n)). -7*n Let j(b) = -6*b**2 - 5*b. Let l(y) = 3*y - 14. Give j(l(d)). -54*d**2 + 489*d - 1106 Let o(s) = -3*s**2 - 6*s - 6. Let u(q) = -q - 1. Let j(b) = o(b) - 6*u(b). Suppose x = -2*x + 9. Let f(c) = 0*c + x*c - c. Determine f(j(d)). -6*d**2 Let j(f) be the first derivative of -f**3/3 - 1. Let g(i) be the second derivative of i**4/12 - 10*i. Determine j(g(k)). -k**4 Let a(b) = b**2. Suppose f + 2 = 6. Let m(r) = 7*r + 5. Let t(z) = 6*z + 4. Let v(p) = f*m(p) - 5*t(p). What is a(v(x))? 4*x**2 Let f be (100/12 - 4) + -4. Let k(o) be the first derivative of 0*o + 0*o**2 - f*o**3 + 2. Let p(v) = -v. Determine k(p(c)). -c**2 Let s(m) be the second derivative of -5*m**4/12 - 9*m. Let h(n) = -4*n**2. Determine h(s(u)). -100*u**4 Suppose -y + 5 = 0, -3*y = -2*w - 0*y - 5. Let i(q) = -4*q + q + w*q. Let d(j) = -j - 8. Let g(v) = -3*v - 18. Let n(l) = 9*d(l) - 4*g(l). Calculate i(n(u)). 6*u Let t(m) = 2*m**2. Let l(p) be the third derivative of -p**8/20160 - p**5/20 - p**2. Let y(u) be the third derivative of l(u). What is t(y(i))? 2*i**4 Let d(u) = -u**3 - 2*u**2 + 2*u - 1. Let n be d(1). Let x = 5 + n. Let q(b) = b + 2 - 5 + x. Let j(v) = -2*v**2. Calculate q(j(l)). -2*l**2 Let a(o) = 2*o**2 + 2*o. Let y(k) = 171*k**2. Give a(y(z)). 58482*z**4 + 342*z**2 Let g(m) be the third derivative of -m**6/72 + 5*m**3/6 + 4*m**2. Let a(o) be the first derivative of g(o). Let p(w) = -w**2. What is p(a(f))? -25*f**4 Let a(q) be the third derivative of -q**5/60 - 4*q**2. Let h(l) be the second derivative of l**4/12 - l. Give h(a(d)). d**4 Let a(t) = -2*t - 23. Let z(k) = -5*k. Determine a(z(c)). 10*c - 23 Let w(d) = -34*d. Let z(x) = -2*x - 112. Give w(z(a)). 68*a + 3808 Let g(h) = 9*h + 11*h - 9*h. Let y(c) be the second derivative of c**4/6 + 26*c + 2. Calculate y(g(z)). 242*z**2 Let l(f) be the third derivative of f**4/8 + 2*f**2. Let t(w) = -w - 1. Let q(v) = 2*v**2 + 8*v + 8. Let r(j) = q(j) + 8*t(j). Calculate r(l(d)). 18*d**2 Let x(b) = 5*b. Let l(w) be the first derivative of w**3 - 7. Determine x(l(u)). 15*u**2 Let m(r) = 1825 - 909 - r**2 - 916. Let f(w) be the second derivative of w**4 + w. What is f(m(i))? 12*i**4 Let z(r) = -6*r - 4. Let w(g) = -7*g - 5. Let b = 18 - 23. Let a(y) = b*z(y) + 4*w(y). Let j(x) = 2*x**2 + 0*x + 0*x. Calculate j(a(s)). 8*s**2 Let c(b) be the third derivative of b**4/8 - 19*b**2. Let q(a) be the second derivative of -a**3/6 - a. What is c(q(j))? -3*j Let a(f) = 0*f - f**2 + 0*f + 5*f**2. Let n(i) = 17*i - 11. Let x(p) = -6*p + 4. Let h(z) = 4*n(z) + 11*x(z). Give a(h(j)). 16*j**2 Let h(t) = -2*t**2. Let d(c) = 12*c**2 - 15*c. Let u(m) = 3*m**2 - 4*m. Let l(r) = -4*d(r) + 15*u(r). Calculate h(l(n)). -18*n**4 Let a(u) = -96*u. Let c(o) = 7*o**2 + 6*o - 6. Let z(h) = -8*h**2 - 7*h + 7. Let b(n) = 7*c(n) + 6*z(n). Calculate a(b(m)). -96*m**2 Let d(v) = -71*v**2. Let c(s) = -6*s. Give c(d(n)). 426*n**2 Let f(u) = -3*u**2. Let q(a) = a**2 + a - 1. Let z(s) = -13*s**2 - 5*s + 5. Let x(l) = 5*q(l) + z(l). Give f(x(o)). -192*o**4 Let n(t) = -23*t**2. Let c(s) = 20*s**2. Determine c(n(m)). 10580*m**4 Let l(d) = -2*d. Let a(b) = b**2 - 3*b + 3. Let g(x) = -8*x**2 + 20*x - 20. Let k(i) = 20*a(i) + 3*g(i). Determine l(k(z)). 8*z**2 Let k(m) = -12*m - 10. Let r(v) = -6*v - 6. Let c(q) = -3*k(q) + 5*r(q). Let w(i) = 7*i - 2*i - 3*i. Give c(w(f)). 12*f Let k(x) = x - 333. Let p(u) = -3*u**2. Give p(k(z)). -3*z**2 + 1998*z - 332667 Let f(u) = 13*u. Let d(m) = m. Let i(j) = 2*j. Let k(w) = -9*d(w) + 4*i(w). Give k(f(l)). -13*l Let j(m) be the second derivative of m**5/20 + 4*m**2 - 8*m. Let l(d) be the first derivative of j(d). Let t(s) = s**2. Give l(t(k)). 3*k**4 Let w(x) = -x. Let m(a) = 48*a**2. Give w(m(i)). -48*i**2 Let q(x) = -1029*x. Let a(m) = m. Give q(a(d)). -1029*d Let p(k) = -8*k. Let a(o) = 3*o**2 - o**2 - 3*o**2. Calculate a(p(w)). -64*w**2 Let j(h) = -4*h. Let v(l) be the second derivative of l**4/6 + 26*l. Calculate v(j(t)). 32*t**2 Let k(t) = t**2 + 1. Let y(s) = -6*s**2 - 5. Let f(i) = 5*k(i) + y(i). Let o(h) = -2*h + 3. What is o(f(v))? 2*v**2 + 3 Let z(l) = -2*l. Let h(k) be the second derivative of -k**3/3 - 3*k**2 - 15*k. Give h(z(q)). 4*q - 6 Let z(w) = 2*w. Let n(v) = -3*v + 4*v**2 + 3*v + 0*v. Determine z(n(h)). 8*h**2 Let t(y) be the third derivative of -13*y**4/12 - 27*y**2. Let a(s) = -2*s. Calculate t(a(i)). 52*i Let w(d) = -d**2. Let i(j) = -15*j - 7. Let m(c) = -c. Let q(h) = 2*i(h) - 10*m(h). Let s(b) = -7*b - 5. Let o(p) = 5*q(p) - 14*s(p). Calculate w(o(v)). -4*v**2 Let v(g) = 3*g. Suppose 0 = -4*s + 12, 3*i - 3 + 0 = -s. Let q(n) be the first derivative of -1/2*n**2 + i*n + 1. What is q(v(c))? -3*c Let d(n) = -n**2. Let y(b) = -b + 1. Let q(x) = 17*x - 4. Let f(w) = q(w) + 4*y(w). Give d(f(p)). -169*p**2 Let k(s) = s**2. Let g(f) = 39*f - 27. Let q(x) = -3*x + 2. Let b(t) = -2*g(t) - 27*q(t). Calculate k(b(w)). 9*w**2 Let x(h) = 7*h. Let r(d) = 6*d. Let y(o) = 3*r(o) - 2*x(o). Let g(a) = a - 4. Let p(k) = 1. Let s(w) = -g(w) - 4*p(w). Determine y(s(i)). -4*i Let w(s) = -3*s**2. Let x(t) be the first derivative of -t**6/360 - t**3 + 2. Let r(c) be the third derivative of x(c). What is w(r(k))? -3*k**4 Let g(a) be the second derivative of -a**4/6 + 28*a**2 - 14*a. Let d(h) = -h**2. Give g(d(n)). -2*n**4 + 56 Let z(h) = -h. Let p(a) = -2*a. Let g(i) = p(i) - 6*z(i). Let y(q) = 2 + 110*q - 112*q - 2. Determine g(y(b)). -8*b Let j(z) be the third derivative of -z**4/4 + 7*z**2. Let o(a) = -2*a. Give j(o(u)). 12*u Let u(y) = 3*y**2 + 5*y - 5. Let n(x) = 1 + 0 + 6 - 7*x - 4*x**2. Suppose -2*h + 28 = 2*h. Let m(b) = h*u(b) + 5*n(b). Let r(q) = -2*q. Give m(r(t)). 4*t**2 Suppose -u + 4 - 2 = 0. Let w(c) = -c + 2. Let m(d) = d - 3. Let r(n) = u*m(n) + 3*w(n). Let y(f) = -4*f. What is y(r(p))? 4*p Let w(p) be the third derivative of p**4/12 + 9*p**2. Let f(s) = -44*s. What is f(w(m))? -88*m Let q(o) = 5*o - 7. Let k(j) = -2*j + 3. Let f(p) = 14*k(p) + 6*q(p). Let r(m) be the third derivative of 5*m**4/12 + 2*m**2. Determine r(f(t)). 20*t Let n(f) = 4*f. Let j = -161 + 166. Let l(z) be the third derivative of 0*z**3 - 1/30*z**j + 0*z + 0*z**4 - 4*z**2 + 0. Determine n(l(r)). -8*r**2 Let k(j) = -2*j. Let w(a) = -765*a**2. Give w(k(c)). -3060*c**2 Let n(q) = -11*q**2 - 2*q - 2. Let d(h) = 33*h**2 + 7*h + 7. Let u(s) = -2*d(s) - 7*n(s). Let v(l) = l**2. Give u(v(r)). 11*r**4 Let c(j) = -2 + 1 + 5 + j. Let a(d) = 2*d + 7. Let g(s) = 4*a(s) - 7*c(s). Let y(q) = -q**2. Calculate g(y(x)). -x**2 Let j(p) = -20*p**2 - 2. Let a(n) = -13*n**2. What is j(a(l))? -3380*l**4 - 2 Let h(i) = -3*i**2 + 1 - 3*i**2 + i**2 - 4*i**2. Let j(l) = -l. Determine h(j(r)). -9*r**2 + 1 Let q(j) = -j**2. Let p be 6/(-4) + (-7)/(-14). Let h be (-4 - -3 - 1)/p. Let m(f) = -3*f + 0*f + h*f. Determine q(m(o)). -o**2 Let s(f) = -2*f + 5. Let x(u) = 9*u - 24. Let p(t) = -24*s(t) - 5*x(t). Let b(h) = 6 - 4 - 2 - 5*h. Give b(p(g)). -15*g Let o(a) = -6*a**2 + 5*a + 5. Let z(n) = -n**2 + n + 1. Let d(w) = -2*o(w) + 10*z(w). Let k(m) = 0*m + m - 3*m. Determine k(d(b)). -4*b**2 Let m(t) be the third derivative of -t**4/8 - 14*t**2. Let r(n) = 9*n. Determine m(r(s)). -27*s Let p(s) = s**2 - 6*s - 6. Let z(i) = -11*i - 3. Let b(c) = -4*c - 1. Let x(q) = 8*b(q) - 3*z(q). Let r(n) = p(n) + 6*x(n). Let h(f) = 2*f. Give h(r(k)). 2*k**2 Let u(r) = -2*r**2. Let t(c) = -156*c. What is t(u(j))? 312*j**2 Let y(n) = 3*n**2 - 3. Let t(z) = -3*z**2 + 4. Let d(l) = 3*t(l) + 4*y(l). Let j(s) = 10*s - 15*s + 2*s. Give j(d(o)). -9*o**2 Let k(t) = -605 - 2*t**2 + 303 + 302. Let x(f) = 12*f**2. What is k(x(u))? -288*u**4 Let x(l) = 4*l + 13. Let c(p) = p + 3. Let r(h) = -26*c(h) + 6*x(h). Let s(t) be the third derivative of -t**5/15 - 14*t**2. Give s(r(a)). -16*a**2 Let p(u) = 34*u**2. Let a(o) = -3*o**2. Give p(a(k)). 306*k**4 Suppose 0 = -y - 3*y + 12. Let p(b) be the second derivative of 0 - y*b + 0*b**2 + 1/3*b**4 + 0*b**3. Let l(v) = 2*v. Determine p(l(w)). 16*w**2 Let n(b) = 38*b + 1. Let z(m) = -2*m**2. Determine n(z(g)). -76*g**2 + 1 Let p(a) = -3*a**2 - 2*a. Let k(t) be the second derivative of t**4/12 + 7*t + 1. What is p(k(w))? -3*w**4 - 2*w**2 L
{ "pile_set_name": "DM Mathematics" }
ue in 0.1, 2, 0, -1/3, -1, -63? 2 Which is the fourth biggest value? (a) -0.5 (b) 184/5 (c) -6 (d) 1 (e) 4 (f) 5 d Which is the fourth biggest value? (a) 22 (b) 2.6 (c) 2 (d) -9 (e) 3 c Which is the smallest value? (a) -2/373 (b) -0.3 (c) -29.9 (d) 4 (e) -1/8 c Which is the third smallest value? (a) -195/4 (b) 15 (c) -6 b Which is the second smallest value? (a) -189 (b) -4/143 (c) 2 b Which is the fifth biggest value? (a) 3/8 (b) -5 (c) -8 (d) -0.6791 (e) 0 c What is the third biggest value in 1, 1/2, -4, 0, 7? 1/2 Which is the fifth biggest value? (a) -0.185 (b) 0 (c) 7/4 (d) 1 (e) -3/4 (f) -0.1 a What is the second smallest value in -0.4, -74, -0.13, -7/5, -2? -2 What is the fourth smallest value in 115, 0.03, -3/2, -15? 115 What is the second smallest value in 3, -52.11, -4? -4 What is the biggest value in 22, -0.5, 4618, 0.2? 4618 Which is the smallest value? (a) -2/11 (b) -3 (c) -34231 c What is the second smallest value in -2/21, -0.4, -0.3, 1/8, 157/3, 0.2? -0.3 What is the second biggest value in -29/12, 7, -10? -29/12 What is the second smallest value in 154, 1, 1/32, 2, 4? 1 Which is the third smallest value? (a) -139.51 (b) 33 (c) -3 (d) -2 d What is the fifth biggest value in -0.2, 2/15, 0.1, -4, -299/5? -299/5 What is the third biggest value in -1, -16, 5, 11925? -1 What is the biggest value in 0.2, -2/49, -2/11, 45/8? 45/8 What is the smallest value in -5, -0.33, -2/11, 2/2545? -5 What is the smallest value in 0.1, 0.4, 32496? 0.1 Which is the smallest value? (a) -0.8 (b) -3 (c) -1 (d) 17 b What is the fourth smallest value in -1.19, 25, 4, -8, 0.3? 4 What is the second biggest value in -2/21, -1/4, 12, -33? -2/21 What is the third biggest value in 1, 29, -77, -2/9? -2/9 Which is the smallest value? (a) -5 (b) 659 (c) -1/4 (d) 4 a What is the fifth smallest value in 1/23, 2/1459, -6, 3, -0.2, -5? 1/23 Which is the fourth biggest value? (a) -0.4 (b) -2/27 (c) 0.1 (d) -2/11 a What is the smallest value in 1/161, 3/4, -2/3? -2/3 What is the second biggest value in -0.1, 2, -2/4649, -4, -2/97? -2/4649 What is the second biggest value in -111, -12, -2/13? -12 Which is the smallest value? (a) 50/27 (b) -0.23 (c) -0.5 c What is the fourth smallest value in -2/11, 3, 1/40, -0.06, -2/13, 5? 1/40 What is the fourth smallest value in -132, -2.3, -1, 9? 9 What is the third biggest value in 4, 25344, -4, -3/7, -6? -3/7 Which is the second smallest value? (a) -353 (b) -1/3 (c) 0.03 (d) -2/5 d What is the fourth smallest value in -0.2, -3, 0, -0.5, -339? -0.2 What is the second biggest value in -0.19, -4, 2/5, 3, -0.3? 2/5 Which is the biggest value? (a) -0.32 (b) -1/828 (c) -2 b What is the second smallest value in -5900/17, 2, -0.2, 3, 1? -0.2 What is the fourth biggest value in -5/127, 4, 5, 1/4? -5/127 What is the third biggest value in 1.45, -2/3, 5, 369? 1.45 Which is the third smallest value? (a) -0.1 (b) -1 (c) -4 (d) 0.26 a What is the third biggest value in 400.4, 21, -5? -5 Which is the third biggest value? (a) -2/35 (b) 5 (c) -0.1778 c What is the biggest value in 3.15, 24/17, 3/2? 3.15 What is the biggest value in 223, -0.4, -6, 0.7? 223 What is the fourth biggest value in 3, 0.4, 4632, 33? 0.4 What is the third biggest value in 2/3, -2, 0.02, -9/14, 20? 0.02 Which is the biggest value? (a) 2/59 (b) -5 (c) 3 (d) 126 (e) -2 d What is the third smallest value in -2/9, -0.1, 2378, 1/5, -0.2? -0.1 Which is the fourth smallest value? (a) 2/5 (b) 1/4 (c) 1 (d) -3 (e) -8 (f) 25 a Which is the fourth smallest value? (a) -0.3 (b) -5 (c) -617 (d) 0.3 d What is the biggest value in -5, -0.09, 272? 272 What is the second smallest value in 188, -19, 3/14? 3/14 Which is the third smallest value? (a) -27 (b) 0.2 (c) 17 (d) 2 d Which is the fourth biggest value? (a) 2/257 (b) -4/7 (c) 0.5 (d) 0 (e) 5 d What is the third biggest value in -4, 72, -6, -1/70? -4 What is the fifth smallest value in -3/5, 1.8, 0.07, 0.1, 4? 4 Which is the second biggest value? (a) 2325 (b) 0.052 (c) 3/5 (d) 1 d Which is the third smallest value? (a) 335 (b) -0.7 (c) 4 (d) 5 d Which is the fourth biggest value? (a) 2/9 (b) 0.2 (c) -3 (d) 2/166841 (e) 1/6 (f) -4 d What is the biggest value in 26, -40, 5, -4, -12? 26 Which is the third biggest value? (a) -3389 (b) 1/4 (c) 1/2 a What is the second biggest value in 5164/19, -6/7, -5? -6/7 Which is the second smallest value? (a) -114896/7 (b) -2 (c) 1 b What is the fourth biggest value in 2, 1/36, 35, 0, -0.5, 0.5? 1/36 What is the second biggest value in 24.452, 3, -24? 3 What is the fourth smallest value in 0.77, 2, -4, 1, 9, 2/87? 1 Which is the fourth smallest value? (a) -18/11 (b) 4 (c) 2/27 (d) 9.4 (e) 5 (f) -3 b Which is the third biggest value? (a) 5 (b) -2.53 (c) 2/11 b Which is the smallest value? (a) -25 (b) 27 (c) -1/2 (d) 0 (e) -0.4 a What is the second biggest value in -3/148, -1/5, 17? -3/148 What is the second biggest value in 0.21, 0.2, 2, -1, 0.1, -0.03? 0.21 What is the third biggest value in 178, 4, 13, 0.3, -0.5, 0? 4 What is the sixth smallest value in -0.1538, -1/4, 18, -19, 2, 0.1? 18 What is the third smallest value in -2/11, 13, -491, 2/5? 2/5 Which is the fourth biggest value? (a) 62/3 (b) 11 (c) 0.8 (d) -4 d Which is the fifth biggest value? (a) -10 (b) 1 (c) 0.3 (d) -0.5 (e) 51 a Which is the third biggest value? (a) -0.4 (b) 0.01 (c) 1289 a Which is the third biggest value? (a) -0.024 (b) -5/17 (c) -0.04 b Which is the second biggest value? (a) 2126 (b) -34 (c) 5 c What is the second biggest value in -0.746, 3, 0.09, 6? 3 Which is the third smallest value? (a) 4 (b) -781 (c) 3/2 a What is the third biggest value in 1, -0.4, 153, 91/6? 1 What is the fourth smallest value in 4, -5/2, 1/3, -150, -0.06? 1/3 Which is the fourth biggest value? (a) -3 (b) 469 (c) -0.5 (d) 1 (e) 9 c Which is the second smallest value? (a) 0.1 (b) 41/4 (c) -5 (d) 309.3 a Which is the third biggest value? (a) -0.5 (b) 3 (c) -1/2828 a What is the biggest value in -5, -2/3, 10, -50? 10 What is the third smallest value in -4, -36/119, 33? 33 Which is the second biggest value? (a) -0.1 (b) -3/13 (c) -2.3 (d) -0.5 b Which is the fourth smallest value? (a) -0.009 (b) -0.6 (c) -3/34 (d) -4 (e) -5 c Which is the fourth biggest value? (a) -193/7 (b) -0.1 (c) 2/13 (d) -2/15 (e) -1 e What is the second smallest value in -0.1415, -5, -8? -5 What is the fourth biggest value in -1/30, 0.9, -8, 1? -8 Which is the third smallest value? (a) 5/6 (b) 0.08 (c) 10 (d) -0.2 a What is the second smallest value in -1, 2/13, -6, -1/149, -0.3? -1 What is the fourth smallest value in 0.2, -6, -0.5, 36, 0, -5? 0 Which is the sixth biggest value? (a) 7/5 (b) 2 (c) 8 (d) 141 (e) 1/4 (f) -2 f Which is the fourth biggest value? (a) 1 (b) 9 (c) -1/138 (d) -0.08 d Which is the third biggest value? (a) -4 (b) 2 (c) -1221 (d) 1/8 (e) -2/9 e Which is the second smallest value? (a) -1 (b) -3/32 (c) -97 (d) -0.5 a Which is the second biggest value? (a) 0.3 (b) 1/6 (c) -2.3 (d) 1/3 (e) -2 a Which is the fourth biggest value? (a) 0 (b) 126 (c) -29 (d) 2/9 (e) -2/3 e What is the second biggest value in 53, 0.6, 0, -1/5, -1? 0.6 Which is the third biggest value? (a) 154.9 (b) 6/11 (c) 4 b Which is the biggest value? (a) 2/313 (b) -5 (c) -386 (d) 2/5 (e) 5 e Which is the second biggest value? (a) 213900 (b) 1 (c) 3 c What is the fifth smallest value in -1, -26.54, 4, 1/4, -0.5? 4 What is the smallest value in 0.5, -0.1, 3/2, 16/5, 4? -0.1 Which is the second smallest value? (a) 0.2 (b) -4 (c) 38365 (d) -5/2 d What is the third smallest value in 2/7, 2, -6, -1/6, -19? -1/6 Which is the fifth smallest value? (a) 2/5 (b) 13 (c) -0.02 (d) 2/7 (e) 0 b What is the third biggest value in -1/3, -1144/3, 0.13? -1144/3 Which is the smallest value? (a) -16104/47 (b) 2 (c) 2/5 (d) 1/4 (e) -2/11 a What is the third biggest value in -1, 2/11, -899? -899 Which is the fourth biggest value? (a) -8 (b) 0.3 (c) -16/7 (d) 358 a What is the biggest value in 4, -5157, -0.4? 4 What is the sixth smallest value in -3, 0.1, 44, 119, -2/7, 0.3? 119 What is
{ "pile_set_name": "DM Mathematics" }
Let p(m) = -4*m. Let t(h) = h - 2. Calculate t(p(v)). -4*v - 2 Let m(g) = -1262*g**2. Let h(d) = 2*d**2. Give m(h(u)). -5048*u**4 Let p(y) = -55*y**2 + 1. Let s(c) = 2*c**2. Give s(p(q)). 6050*q**4 - 220*q**2 + 2 Let v(c) = c**2. Let b be (4/14)/((-2)/(-14)). Let w(d) = -b*d + 2*d + d - 4*d. Give w(v(p)). -3*p**2 Let v(z) = 34*z + 6. Let r(a) = 441*a + 77. Let d(p) = -6*r(p) + 77*v(p). Let u(f) = -3*f. Determine d(u(k)). 84*k Let x(k) = k**2 - 5*k + 5. Let m(z) = -2*z**2 + 8*z - 8. Let o(v) = -5*m(v) - 8*x(v). Let i(l) = -3*l. Determine o(i(n)). 18*n**2 Let z(i) = -7*i**2 - 27. Let l(h) = 8*h. Determine l(z(y)). -56*y**2 - 216 Let y(t) = 220*t. Let m(b) = -7*b. Determine y(m(z)). -1540*z Let n(b) = 2*b**2 + 3*b. Let p(t) = -2*t**2 - 4*t. Let a(z) = -4*n(z) - 3*p(z). Let l(j) = -3*j. What is a(l(o))? -18*o**2 Let k(q) = -2*q**2. Let y(a) = a - 6. Let i(o) be the second derivative of o**2/2 - 5*o. Let v(x) = -6*i(x) - y(x). Calculate v(k(l)). 2*l**2 Let h(x) = 5*x. Let r(z) = 2*z. Let y(f) = -6*h(f) + 14*r(f). Let k(d) = 6*d**2. Determine y(k(j)). -12*j**2 Let w(h) = 12*h + 1. Let k be w(-1). Let a(g) = g**2 - 6*g - 6. Let l(f) = 2*f**2 - 11*f - 11. Let p(r) = k*a(r) + 6*l(r). Let i(m) = 2*m**2. Determine i(p(t)). 2*t**4 Let z(h) be the second derivative of h**3/6 + 9*h. Suppose 2*k = -k - 24. Let n(u) = -17*u + 8. Let f(x) = -6*x + 3. Let b(v) = k*f(v) + 3*n(v). Give b(z(m)). -3*m Let q(t) = t**2. Let k(j) = 2*j**2 + 10*j. Give q(k(c)). 4*c**4 + 40*c**3 + 100*c**2 Let s(p) be the third derivative of p**4/3 - 34*p**2 + 1. Let u(k) = -10*k**2. Calculate u(s(l)). -640*l**2 Let h(u) = -31*u. Let o(b) = -185*b. Let d(n) = 35*h(n) - 6*o(n). Let c(j) = j**2. Determine d(c(q)). 25*q**2 Suppose -2*q + 12 = -q - 2*h, 4*q - 28 = 4*h. Let i(r) = 5*r**2 + 0*r**2 + 0*r**2 - 4*r**q. Let b(x) = -2*x. Give i(b(l)). 4*l**2 Let c(v) = 3*v**2. Let m = -3 - -5. Let b(a) = a**2 - a**2 + 3*a**m. Give c(b(h)). 27*h**4 Let q(k) = -634*k**2. Let g(x) = x. What is q(g(u))? -634*u**2 Let g(z) = -z**2. Let q(k) be the second derivative of 7*k**3/6 + 19*k. What is g(q(x))? -49*x**2 Let k(c) be the first derivative of c**5/120 - 8*c**3/3 + 1. Let z(w) be the third derivative of k(w). Let a(d) = d. Give a(z(l)). l Let x(g) = 5*g**2. Let o(r) be the third derivative of 0*r**3 + 1/24*r**4 + 0 + 0*r - r**2. Determine x(o(u)). 5*u**2 Let f(s) = 6*s**2 + 11*s - 11. Let m(j) = j**2 + 2*j - 2. Let a(n) = 4*f(n) - 22*m(n). Let q(w) = -6*w. Give a(q(h)). 72*h**2 Let f(o) = 3*o. Let t(s) = -175*s**2 - 3*s. What is t(f(w))? -1575*w**2 - 9*w Let q(y) = -2*y. Suppose 2*v = -v + 18. Let g(u) = u**2 - u - 1. Let w(s) = -2*s**2 + 3*s + 3. Let d(k) = v*g(k) + 2*w(k). What is d(q(j))? 8*j**2 Let s(p) be the third derivative of p**8/2520 + p**5/30 - 7*p**2. Let r(d) be the third derivative of s(d). Let h(f) = -2*f**2. Give h(r(g)). -128*g**4 Let n(h) = -h - 27. Let m(p) = -6*p**2. Determine n(m(k)). 6*k**2 - 27 Let v(y) = -3*y. Let a(f) = -59*f**2. Give v(a(l)). 177*l**2 Let g(u) = -2*u - 3. Let q(o) = -13*o. Give g(q(l)). 26*l - 3 Let r(v) be the second derivative of -v**3/3 - v. Suppose -t - 5*g = -6*t + 50, -t = -5*g - 30. Let h(n) = -5*n**2 + t*n**2 - 3*n**2 + 0*n**2. What is r(h(c))? 6*c**2 Let k(o) be the third derivative of o**5/12 - 3*o**2. Let l(a) = a**2. Let g(y) = k(y) - 4*l(y). Let m(i) = 7*i. Calculate m(g(j)). 7*j**2 Let k(x) = -3*x. Let b(n) = -336*n**2. What is b(k(l))? -3024*l**2 Let k be 2/(-3) + (-8)/(-3). Let i(s) = 1 - 4 + 3 + k*s**2. Let o(r) = 6*r - 4. Let b(d) = d - 1. Let a(p) = -4*b(p) + o(p). Determine i(a(y)). 8*y**2 Let v(b) = 2*b. Let i(o) = o**3 - 4*o**2 - o + 4. Let h be i(4). Let f(p) be the second derivative of h*p**2 - 1/6*p**3 - 2*p + 0. Give v(f(k)). -2*k Let a(l) = -9*l**2 + 1. Let i(o) = 4*o**2. Determine a(i(h)). -144*h**4 + 1 Let a(i) = 2*i. Let h(t) = -15*t + 11*t**2 + 15*t. Determine h(a(v)). 44*v**2 Let b(h) = 749*h**2. Let c(d) = -3*d**2. Calculate c(b(f)). -1683003*f**4 Let f(p) be the second derivative of 19*p**3/6 - 18*p. Let w(n) = -2*n. Calculate w(f(h)). -38*h Let j(x) = -6*x. Let g(i) = 74*i + i**2 - 74*i + 2*i**2. Give j(g(m)). -18*m**2 Let w(p) = 354*p. Let o(d) = 38*d. Give w(o(i)). 13452*i Let z(c) = 3*c**2. Let h be -2 - ((2 - 2) + -2). Let j be 0*(-2 + h)/(-2). Let f(o) = -2 + 2 + o + j*o. Calculate f(z(w)). 3*w**2 Let y(o) = o + 4110. Let t(s) = 2*s**2. Give y(t(c)). 2*c**2 + 4110 Let i(q) = 13*q. Let h(j) = 11*j**2. Determine h(i(f)). 1859*f**2 Let q(l) = -857*l. Let c(d) = d. Determine q(c(p)). -857*p Let y(u) = -15 + 4*u + 15. Let g(q) = 2*q. Calculate g(y(n)). 8*n Let u(h) be the third derivative of h**7/1260 + h**5/15 - 3*h**2. Let r(n) be the third derivative of u(n). Let k(p) = 3*p**2. Give r(k(t)). 12*t**2 Let a(h) = 10*h**2 + 7*h + 7. Let p(v) = -3*v**2 - 2*v - 2. Let c(o) = -4*a(o) - 14*p(o). Let j(x) = -2*x + 42. What is j(c(y))? -4*y**2 + 42 Let p = 5 + -1. Let w(i) = -p*i - i + 2*i + 4*i. Let z(h) = -2*h**2. Give z(w(j)). -2*j**2 Let h(n) = -3*n**2. Let p(q) = -3*q + 62. What is p(h(g))? 9*g**2 + 62 Let f(a) = -9*a. Let j(s) = -5*s - 2*s + 8*s. Calculate f(j(k)). -9*k Let j(s) = 3*s**2. Let y(c) = 29*c**2 + 12. Determine j(y(z)). 2523*z**4 + 2088*z**2 + 432 Let d(j) = 24*j**2. Let m(l) = 320*l. Give d(m(q)). 2457600*q**2 Let z(a) = -5*a**2 + 7*a - 7. Let l(u) = -3*u**2 + 4*u - 4. Let i(g) = 7*l(g) - 4*z(g). Let f(s) = -16*s**2 - 1. Determine f(i(v)). -16*v**4 - 1 Let h(z) = 2*z. Let k(t) be the second derivative of -7*t**6/360 - t**3 + 9*t. Let f(r) be the second derivative of k(r). Calculate f(h(u)). -28*u**2 Let y(g) = 2*g. Suppose l - 2*l = 0. Suppose 7*r = 3*r + 8. Let u(w) = l - w**r + 0. Give y(u(d)). -2*d**2 Let k(a) = -6*a**2. Let u(m) = 0*m + 1 - 8*m**2 - m + 7*m**2. Let f(g) = 7*g**2 + 5*g - 5. Let q(n) = f(n) + 5*u(n). Calculate q(k(o)). 72*o**4 Let r(p) = 10*p**2. Let i(s) = -25*s. Calculate r(i(a)). 6250*a**2 Let t(h) = 17*h**2. Let s(r) = -4*r**2 + 12*r**2 - 5*r**2. Calculate s(t(o)). 867*o**4 Let w(j) = -1 + 1 - 10*j + 11*j. Let c(r) = -5*r**2. Determine w(c(b)). -5*b**2 Let i(r) = 3*r. Let d(o) = -215*o. Determine d(i(x)). -645*x Let v(w) = w**2 + 196*w + 2. Let h(p) = -p. Calculate v(h(k)). k**2 - 196*k + 2 Let n(v) = -2*v. Let p(j) = 13*j - 7. What is n(p(k))? -26*k + 14 Let a(x) = x. Let t(w) be the third derivative of -w**8/20160 - w**5/20 + 3*w**2. Let y(i) be the third derivative of t(i). Calculate a(y(z)). -z**2 Let t(d) = -d + 65. Let b(w) = 9*w. Give b(t(q)). -9*q + 585 Let t(z) = 35*z**2 + 25*z - 25. Let w be (-3)/(-9) + 5/3. Let r(a) = -3*a**2 - 2*a + 2. Let k(u) = w*t(u) + 25*r(u). Let y(g) = 3*g**2. What is y(k(v))? 75*v**4 Let g(s) = -s. Let w(o) = 2*o**2 - 15*o**2 + 0*o**2 - 14*o**2. Calculate w(g(z)). -27*z**2 Let o(f) = -3*f**2. Let k(a) = 17*a**2 + a**2 + 2*a**2. What is o(k(i))? -1200*i**4 Let b(s) = -2*s**2. Let z(q) = 13*q**2 + 0*q**2 - 11*q**2 + 12*q**2. Give z(b(a)). 56*a**4 Let x(a) = -3*a**2. Let j(d) = -3*d**2 - 30. Calculate j(x(m)). -27*m**4 - 30 Let g(b) = 2*b. Let y(q) = -1. Let f(k) = -5 + 5*k**2 - 1 - 2*k**2 - k**2. Let o(u) = f(u) - 6*y(u). Determine g(o(d)). 4*d**2 Let a(v) = -5*v**2. Let t(z) = 12*z**2 - 8*z. Let x(k) = -8*k**2 + 5*k. Let m(s) = -5*t(s) - 8*x(s). What is a(m(h))? -80*h**4 Let x(f) = 2*f. Let l be (6/(-4))/(2/(-8)). Let d(y) = -y. Let m(w) = -2*w. Let u(r) = l*m(r) - 11*d(r). What is u(x(c))? -2*c Let g(x) = -3*x. Let y be (0/(5 + -1))/2 + 0. Let a(n) be the third derivative of 0*n + y*n**3 - 1/12*n**4 + 0 - 3*n**2. What is a(g(m))? 6*m Let c(j) = -2*j**2. Let u(n) be the third derivative of -7*n**5/60 - 8*n**2. Give u(c(a)). -28*a**4 Let x(g) = 5*g - g + 0*g. Let z(l) be the third derivative of l**4/12 + 2*l**2. What is x(z(r))? 8*r Let b(x) = 23*x**2. Let f be (-5 - -9)*(1 - 0). Let q(g) = -f*g**2 + g**2 + 5*g**2. Give b(q(p)). 92*p**4 Suppose -4*q + 2*q = -2. Let n(s) = 1 - 2*s - 2 + q. Let u(o) = -2*o - o**2 + 2*o. Determine n(u(d)). 2*d**2 Let c(p) = 2*p. Let n(b) = -4*b - 5. Let a(i) = 26*i + 12. Let w(s) = -9*s - 4. Let g(m) = -6*a(m) - 17*w(m). Let j(r) = 5*g(r) - 4*n(r). Give j(c(z)). 2*z Let q = 2 - 0. Let d(f) = 0*f**2 - f**q - f**2. Let w(y) = 3*y. Give d(w(a)). -18*a**2 Let y(v) = -2*v**2. Let u = 6 - 4. Let s be -1*(1 + 0) - -10. Let b(g)
{ "pile_set_name": "DM Mathematics" }
0000888904588 to seven dps. -0.0000889 What is -688115370.2 rounded to the nearest one million? -688000000 Round 0.0030652988 to 3 decimal places. 0.003 What is -0.00189645314 rounded to seven dps? -0.0018965 What is 1.2081795393 rounded to four decimal places? 1.2082 Round 242.279732 to one dp. 242.3 What is -7554203.322 rounded to the nearest one million? -8000000 What is -66115.984 rounded to the nearest ten? -66120 What is 1079565555 rounded to the nearest one million? 1080000000 What is 0.02206298526 rounded to 6 dps? 0.022063 What is -414.717746 rounded to two dps? -414.72 Round -388060.3118 to the nearest 10000. -390000 Round -0.000582929359 to seven dps. -0.0005829 Round 0.0000020922557 to six dps. 0.000002 What is 0.00000725200236 rounded to seven decimal places? 0.0000073 What is 63105081.15 rounded to the nearest 100000? 63100000 What is -0.0197485455 rounded to three decimal places? -0.02 What is 52127.5797 rounded to the nearest 100? 52100 What is 0.00026129424 rounded to six decimal places? 0.000261 Round 38.455929 to 2 decimal places. 38.46 Round -53.791281 to zero decimal places. -54 What is 27025650.49 rounded to the nearest one million? 27000000 What is -44.09185158 rounded to the nearest 10? -40 What is 891439.117 rounded to the nearest ten? 891440 Round -351978.118 to the nearest one thousand. -352000 What is -0.01514299398 rounded to 7 decimal places? -0.015143 Round 6.1168436 to one dp. 6.1 Round 1.75973118 to zero decimal places. 2 Round 0.000000334242534 to seven dps. 0.0000003 What is 1.17275119 rounded to 3 decimal places? 1.173 Round 10.72550414 to zero dps. 11 What is -0.000315957739 rounded to 5 decimal places? -0.00032 What is -0.178669051 rounded to three decimal places? -0.179 Round -0.1257151099 to 4 decimal places. -0.1257 Round -7445060.5 to the nearest ten thousand. -7450000 What is 3676312.56 rounded to the nearest one hundred thousand? 3700000 Round 5569.53 to the nearest 10000. 10000 Round 0.054686845 to five dps. 0.05469 What is -0.0657511 rounded to 4 decimal places? -0.0658 Round -0.047729604 to 2 dps. -0.05 Round -0.004902944 to 3 dps. -0.005 Round -3447508.39 to the nearest 100000. -3400000 What is 0.0983222197 rounded to six decimal places? 0.098322 What is 7.44628388 rounded to the nearest integer? 7 What is -0.3823623396 rounded to 2 decimal places? -0.38 What is -169719.431 rounded to the nearest 100? -169700 What is 1928792.29 rounded to the nearest 100000? 1900000 Round -8572946900 to the nearest one million. -8573000000 What is -444647.961 rounded to the nearest ten thousand? -440000 Round 0.0056588542 to 5 dps. 0.00566 Round -0.0003440322255 to 7 decimal places. -0.000344 What is -27622350.87 rounded to the nearest 100000? -27600000 Round 305928.937 to the nearest 1000. 306000 Round -0.63127671 to 2 decimal places. -0.63 Round 39856.80071 to the nearest 1000. 40000 What is 0.024936042 rounded to three decimal places? 0.025 Round -776690140 to the nearest 1000000. -777000000 What is -22.6686847 rounded to 2 decimal places? -22.67 What is 14535.05281 rounded to 0 decimal places? 14535 What is -0.00053722809 rounded to six dps? -0.000537 What is 852848.293 rounded to the nearest 10? 852850 Round 0.1971621464 to 4 decimal places. 0.1972 What is -8279759.16 rounded to the nearest 1000? -8280000 What is -0.0007077810374 rounded to six dps? -0.000708 Round 401621.4957 to the nearest one hundred. 401600 Round -1625446157 to the nearest one hundred thousand. -1625400000 Round -920.03049 to the nearest 10. -920 What is -1888769.92 rounded to the nearest 100? -1888800 What is -3877334.91 rounded to the nearest 1000000? -4000000 Round -10706.5453 to the nearest ten. -10710 Round -8792518630 to the nearest one million. -8793000000 What is -3149.08503 rounded to the nearest one hundred? -3100 What is -1313.583417 rounded to the nearest 100? -1300 Round 927.19327 to the nearest integer. 927 What is 25718.34906 rounded to zero decimal places? 25718 What is -9.19658672 rounded to two decimal places? -9.2 What is 4.91332423 rounded to 4 dps? 4.9133 Round 6.94487704 to the nearest integer. 7 What is 0.00000371943496 rounded to 6 decimal places? 0.000004 Round 2009637.03 to the nearest one hundred thousand. 2000000 What is 0.00000207157444 rounded to 7 dps? 0.0000021 What is 0.1275384737 rounded to four decimal places? 0.1275 Round -18913.62014 to the nearest one hundred. -18900 What is 6.99508092 rounded to 4 decimal places? 6.9951 Round -0.007700606928 to 7 decimal places. -0.0077006 Round -11.8187775 to 3 decimal places. -11.819 What is -121669.764 rounded to the nearest 100? -121700 What is -146.043711 rounded to 2 decimal places? -146.04 Round 1142299327.9 to the nearest one hundred thousand. 1142300000 What is -0.0050474598 rounded to 6 dps? -0.005047 What is -0.290122 rounded to the nearest integer? 0 What is -85.230232 rounded to 1 dp? -85.2 What is -0.00074790614 rounded to 5 dps? -0.00075 What is -5758712.128 rounded to the nearest 100? -5758700 Round -1531084.548 to the nearest 10000. -1530000 What is 4473271.084 rounded to the nearest 100? 4473300 Round 24241.8545 to the nearest 100. 24200 What is 702.1055 rounded to the nearest integer? 702 Round 0.014892359325 to 5 dps. 0.01489 What is 3703.94622 rounded to the nearest 1000? 4000 What is -0.00231229821 rounded to 5 dps? -0.00231 What is -0.0003847781491 rounded to four dps? -0.0004 What is -14463389000 rounded to the nearest 100000? -14463400000 What is -1244.0112775 rounded to the nearest 100? -1200 What is 1.5054437098 rounded to 4 dps? 1.5054 Round 0.1292583424 to five dps. 0.12926 What is -389.12967 rounded to the nearest integer? -389 What is 0.000273960452 rounded to 7 dps? 0.000274 What is -0.00048941512 rounded to 6 dps? -0.000489 What is 0.05387689827 rounded to 5 decimal places? 0.05388 What is 0.0008436475 rounded to seven decimal places? 0.0008436 What is 0.00103109876 rounded to six dps? 0.001031 What is -0.00000386329835 rounded to six decimal places? -0.000004 What is 3634386.98 rounded to the nearest 100000? 3600000 Round -1742610.42 to the nearest 100000. -1700000 Round -0.0000446418491 to seven dps. -0.0000446 What is 0.000004485127168 rounded to 6 dps? 0.000004 What is -0.0000238408244 rounded to 7 decimal places? -0.0000238 What is -140.5463941 rounded to the nearest ten? -140 What is -37.2593432 rounded to one dp? -37.3 Round -678.376241 to the nearest one hundred. -700 What is 16.603785 rounded to two decimal places? 16.6 What is 18705315.4 rounded to the nearest one million? 19000000 Round -0.000001418435072 to 7 decimal places. -0.0000014 Round 0.00811186562 to 5 dps. 0.00811 What is 168.6302154 rounded to two dps? 168.63 What is 1948496.325 rounded to the nearest 100000? 1900000 Round -0.0000114564319 to six decimal places. -0.000011 Round 45801.0757 to the nearest 1000. 46000 What is -774393932.9 rounded to the nearest one million? -774000000 What is 2.417199969 rounded to three decimal places? 2.417 What is -244307.86 rounded to the nearest 10? -244310 What is -1040208115 rounded to the nearest 10000? -1040210000 Round -0.00079813899 to 6 dps. -0.000798 What is 48.750926 rounded to the nearest ten? 50 What is -5.9883846 rounded to 2 decimal places? -5.99 Round 906.8012 to 0 dps. 907 Round -5585253700 to the nearest 100000. -5585300000 Round 2.6684466 to 3 decimal places. 2.668 Round -193521050 to the nearest 1000000. -194000000 Round 0.931868 to 3 dps. 0.932 What is 11.5809689 rounded to 1 decimal place? 11.6 Round -1925385.05 to the nearest 1000000. -2000000 Round 4617.48761 to the nearest one thousand. 5000 What is 502.6566 rounded to the nearest one hundred? 500 Round 84241.259 to the nearest 10. 84240 Round 0.001297413583 to 4 dps. 0.0013 What is -183326573 rounded to the nearest one million? -183000000 Round -54.5798023 to 0 decimal places. -55 What is -1.275132559 rounded to 2 decimal places? -1.28 Round 168570.75048 to the nearest one thousand. 169000 What is -0.066233015 rounded to 3 dps? -0.066 What is -2520534485 rounded to the nearest 100000? -2520500000 What is 35.654533 rounded to the nearest integer? 36 What is 776.23349 rounded to the nearest 10? 780 Round -0.000000960783 to six dps. -0.000001 Round -4
{ "pile_set_name": "DM Mathematics" }
(d) = f*d + d + d + 0*d. Let m(y) = -2*y. Determine m(p(r)). -4*r Let d(g) = -g**2. Let c(v) = -3*v**2. Let t(s) = 2*c(s) - 5*d(s). Let k(r) = 8*r. Give k(t(m)). -8*m**2 Let x(i) = 2*i**2. Let a(r) = -3*r + 0*r - r. What is x(a(w))? 32*w**2 Let w(n) = -9 + 9 + n. Let f(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 + 1/60*r**5 + 0 + r**2. Give f(w(p)). p**2 Suppose 0 = -7*x + 2*x + 440. Let n(w) = -88 + x + 3*w. Let l(f) = -2*f + 3. Let o(i) = -5*i + 7. Let t(c) = -7*l(c) + 3*o(c). What is n(t(h))? -3*h Let y(p) = -9*p. Let r(t) be the third derivative of -t**4/4 - 19*t**2. Give y(r(i)). 54*i Let n(k) = -k - 1. Let m(h) = 3*h + 4. Let w(r) = m(r) + 4*n(r). Let q(u) = 3*u + 5. Let s(i) = 2*i + 3. Let t(g) = 3*q(g) - 5*s(g). What is t(w(f))? f Let o(p) = 3*p + 4. Let i be -2 + -7*2/(-2). Let c(w) = w. Let h be c(-4). Let b(z) = 4*z + 5. Let u(j) = h*b(j) + i*o(j). Let d(n) = -n**2. Give d(u(m)). -m**2 Let q(b) be the first derivative of 3*b**2 - 1. Let r(v) = -v**2 + 3. Let f(h) = -2*h**2 + 5. Let o(t) = -3*f(t) + 5*r(t). What is o(q(p))? 36*p**2 Let w(r) be the first derivative of 2*r**3/3 + 10. Let z(m) = 4*m - 4*m + 3*m**2. What is w(z(i))? 18*i**4 Let n(j) = -4 + j**2 + 4. Let d(g) = 5*g - 10*g + 7*g + 5*g. Give d(n(m)). 7*m**2 Let p(w) = -3*w**2. Let x(m) = m - 6. Let a(l) = -2. Let q(i) = -2. Let o(g) = 3*a(g) - 2*q(g). Let f(h) = -6*o(h) + 2*x(h). What is p(f(k))? -12*k**2 Let s(i) be the first derivative of i**2 - 4. Let l(p) = -11*p. Calculate l(s(g)). -22*g Let j(n) = -3*n - 1. Let l be j(-1). Let p(d) = 1 - 1 + d**l. Let t(q) be the third derivative of q**5/10 - 10*q**2. Calculate t(p(y)). 6*y**4 Let q(m) = 3*m**2 - 6*m. Let y(b) = 7*b**2. What is q(y(z))? 147*z**4 - 42*z**2 Let q(m) = -m. Let s(y) = 25*y**2 + 24*y. Give q(s(c)). -25*c**2 - 24*c Let d(l) = -9*l**2 + 12*l**2 - 10*l**2. Let y(r) = -3*r. Give y(d(j)). 21*j**2 Let c(l) = l + 41. Let y(q) = 13*q**2 - 4*q. Determine y(c(w)). 13*w**2 + 1062*w + 21689 Let u(y) = -13*y + 5. Let g(k) = -6*k + 2. Let v(b) = -5*g(b) + 2*u(b). Let c(n) = -2*n. Determine c(v(r)). -8*r Let p be (-62)/(-10) - 4/20. Let k(q) = -q - p + 6. Let u(z) = 2*z**2 + 0*z**2 - 5*z**2. What is u(k(v))? -3*v**2 Let f(m) = -2960*m. Let n(b) = -2*b**2. What is f(n(u))? 5920*u**2 Let r(u) = -u - 8*u + 14*u - 3*u. Let g(z) = 0 - z**2 + 4 - 4. Determine r(g(q)). -2*q**2 Let v(l) = l**2. Let d be ((-2)/2)/((-1)/(-7)). Let k = 9 + d. Let p(i) = -3*i + i - 4*i + k*i. What is v(p(t))? 16*t**2 Let o(t) = 37*t. Let y(d) be the second derivative of -d**4/6 + 10*d. Calculate y(o(q)). -2738*q**2 Let k(p) be the second derivative of -p**3/6 + 4*p. Suppose 0 = -0*y + 5*y. Let n(l) = -2*l + 0*l + y*l. Give k(n(d)). 2*d Let k(x) = -2*x + 18. Let t(v) = 9*v**2. Calculate t(k(b)). 36*b**2 - 648*b + 2916 Let f(i) = -158*i**2. Let l(r) = 24*r**2. What is l(f(m))? 599136*m**4 Let u(w) = -8*w + 11. Let r(v) = 3*v - 4. Let l(y) = -11*r(y) - 4*u(y). Let p(k) = 13*k - 11. Let q(h) = -7*h + 6. Let i(z) = -6*p(z) - 11*q(z). Give i(l(o)). o Let k(r) = -5*r**2. Let p(l) = 3*l**2 + 6*l + 6. Let h(q) = 2*q**2 + 7*q + 7. Let f(j) = -6*h(j) + 7*p(j). Calculate f(k(x)). 225*x**4 Let h(j) = 2*j**2. Let n(v) = -12*v**2 - 10*v. Let u(o) = -4*o**2 - 3*o. Let a(l) = 6*n(l) - 20*u(l). Give h(a(s)). 128*s**4 Let w(o) = 2*o - 4. Let m be w(3). Let b(g) = -2*g**2 - 5*g**m + 5*g**2. Let n(v) = 3*v. Give n(b(p)). -6*p**2 Let r(c) = 2*c. Let q = 0 - -11. Suppose 4*a = 5 + q. Let s(h) = 3*h + 0*h - a*h. Give r(s(p)). -2*p Let u(l) = -l. Let m = -271/2 + 138. Let j(h) be the first derivative of 0*h - m*h**2 + 3. Determine u(j(w)). 5*w Let g(y) = 8*y**2. Let a(q) = q + 9. Let b be a(-4). Let l(v) = 3 - b*v - 3 + 4*v. Determine g(l(h)). 8*h**2 Let g(u) = 1365*u**2. Let m(y) = -2*y. Give g(m(z)). 5460*z**2 Let w(t) = -97*t - 105*t + 208*t. Let q(c) = -c - c + 4*c. Give q(w(g)). 12*g Let j(q) = 5*q - 22 + 22 - 4*q. Let h(u) = -3*u**2. What is j(h(p))? -3*p**2 Let s(h) = 3*h**2. Suppose -5*k = 5*c - 35, 3*c - 3*k + 0*k = 9. Let g(n) = 0*n - c*n + 2*n + 2*n. Calculate g(s(p)). -3*p**2 Let n(h) = 2*h**2. Let t(j) = 6*j**2 + 3. Let z(o) = o**2 + 1. Let b(x) = 5*t(x) - 15*z(x). What is b(n(p))? 60*p**4 Let k(d) = 2*d**2. Let b be 1/(-2) - (-9)/(-6). Let p be b*(-1 - 1) + 0. Let x(s) = 4*s - s - p*s. Give k(x(r)). 2*r**2 Let i(j) = -26*j + 17*j + 11*j. Let y(v) = v + 11. Let n(t) = 1. Let o(k) = 44*n(k) - 4*y(k). What is o(i(c))? -8*c Let n(d) = -d. Let b(g) = g - 346. Determine n(b(h)). -h + 346 Let z(q) be the first derivative of -q**3 - 8. Let l(s) = -3*s. Give l(z(c)). 9*c**2 Let g(d) = 7*d**2 - 5*d. Let b(a) = 3*a**2 - 2*a. Let t(h) = -15*b(h) + 6*g(h). Let m(x) = 3*x. What is t(m(j))? -27*j**2 Let j(q) = 74*q**2 + 3. Let w(u) = -73*u**2 - 2. Let d(z) = -2*j(z) - 3*w(z). Let s(k) = -2*k**2. Give s(d(b)). -10082*b**4 Let q(n) be the first derivative of 0*n**2 + 3 + 0*n + 2/3*n**3. Let a(o) = -o**2. Calculate q(a(f)). 2*f**4 Suppose -4*n + 10 = 46. Let h(b) = 11*b - 9. Let z(t) = 5*t - 4. Let c(j) = n*z(j) + 4*h(j). Let a(u) = 8*u. Calculate c(a(v)). -8*v Let b(g) be the third derivative of g**8/10080 - 2*g**5/15 - 12*g**2. Let s(r) be the third derivative of b(r). Let h(n) = -5*n + 4*n + 0*n. Calculate h(s(w)). -2*w**2 Let s(t) be the second derivative of -t**4/12 + 21*t. Let v(x) = -5*x - 6*x + 5*x. Let m(h) = 7*h. Let z(k) = -5*m(k) - 6*v(k). Determine s(z(l)). -l**2 Let i(g) = -2*g. Suppose 2*b = 4*w + 4 + 8, 0 = -5*b - 4*w + 16. Suppose 0*t + 12 = b*t. Let l(f) = f - 3 + t. Calculate i(l(m)). -2*m Suppose -8 = -4*n + w, -4*w - 22 = -2*n + w. Suppose 4*g - 9 = -n. Let v(b) = -3*b**g - b**2 + b**2. Let h(y) = -2*y. Determine h(v(l)). 6*l**2 Let b(i) = -i**2. Suppose 3*o = -5*j + 20, -o = -3*o - 3*j + 13. Let z(a) = 7*a - o*a + 2*a. Determine z(b(y)). -4*y**2 Let r(p) = 3*p**2 + 2*p**2 - 4*p**2. Let s(x) be the first derivative of 5*x**3/3 + 329. What is r(s(d))? 25*d**4 Let v(h) = -h. Let b(m) be the third derivative of m**4/12 + 2*m**2. Let w(x) = 2*b(x) + 3*v(x). Let o(p) = -p**2. What is w(o(s))? -s**2 Let k(r) = -14*r - 16. Let f(h) = -9*h - 10. Let p(z) = -8*f(z) + 5*k(z). Let a(x) = -x**2 + 6*x - 6*x. Determine p(a(o)). -2*o**2 Let q(h) be the first derivative of 2*h**3/3 + 19. Let i(g) = -g. Calculate q(i(l)). 2*l**2 Let k(o) = -22893*o**2. Let i(v) = -2*v**2. Determine i(k(q)). -1048178898*q**4 Let s(o) = -6*o. Let c = 18 - 16. Let z(j) = 8*j**2 + j**2 - 8*j**c. Determine s(z(l)). -6*l**2 Let y(g) = 16*g. Let x(k) = 18*k + 18*k - 37*k. Determine y(x(d)). -16*d Let q(i) = -16*i**2 - 5*i - 5. Let z(j) = 24*j**2 + 8*j + 8. Let u(m) = 8*q(m) + 5*z(m). Let x(b) = 2*b**2. What is u(x(k))? -32*k**4 Let r(m) be the second derivative of -m**4/12 - m. Let y(h) = -3*h + 0 + 0. What is y(r(a))? 3*a**2 Let q(w) = 7*w. Let y be 4/(-7)*(-14)/4. Let v(k) = -4*k + 4*k + y*k**2. Give v(q(l)). 98*l**2 Suppose -5*y + 4 + 36 = 4*p, -p = 5*y - 25. Let q(n) = y*n + 0*n - 5*n. Let i(s) = -s. Give q(i(a)). a Let g(n) = -3*n. Suppose -4*q + 2*q = 0. Let s(y) = y + 2 + q - 2. Determine g(s(h)). -3*h Let t(u) be the first derivative of -u**3/3 + 1. Let o(k) be the third derivative of -k**4/24 + 7*k**2. Give o(t(h)). h**2 Let k(g) = 4*g**2. Let m = -4 - -7. Suppose v - m*v = -12. Let n(w) = -w + 6 - v. Determine k(n(r)). 4*r**2 Let i(y) = -1 + 1 - y. Let q(k) = k**3 - 4*k**2 + 3. Let o be q(4). Let j(m) = -o*m**2 + 258 - 258. What is i(j(f))? 3*f**2 Let k(s) = 726*s - 6. Let o(l) = 2*l**2. Give o(k(c)). 1054152*c**2 - 17424*c + 72 Let g(y) = -2*y. Suppose 2*z + 3*k = -k - 8, 5*k = 4*z - 23. Let r(l) = -z*l + l + 0*l. What is g(r(a))? 2*a Let t(v) = -2*v. Let c(x) = 4*x - 16. What is c(t(m))? -8*m - 16 Let z(a) = -a. Let h(q) be the second derivative of -q**3/6 - 8*q. What is h(z(p))? p Let g(w) be the first derivative of w**6/180 - w**3 - 4. Let c(m) be the third derivative of g(m). Let n(r) = 4*r. Calculate c(n(k)). 32*k**2 Let z(h) = -2*h. Let f(y) = 6*y**2 + 21. Calculate f(z(d)). 24*d**2 + 21 Let k(o) = -2514*o. Let v(b) = b. What is v(k(q))? -2514*q Let u(y) = -2*y**2. Let p(v) = -3480*v. Calculate u(p(s)). -24220800*s**2 Let o = 22 + -11. Let d(b) = o*b**2 - 7*b**2 + b**2 + 0*b**2. Let n(m) be the third derivative of -m**4/24 - m**2. Give d(n(z)). 5*z**2 Let w(i) be the
{ "pile_set_name": "DM Mathematics" }
t f = k - x. Is f a prime number? False Suppose 14*b - 28423 + 2901 = 0. Is b a prime number? True Let o = -2742 - -4179. Is o a composite number? True Let j = -4181 - -37100. Is j a composite number? True Let x(o) = o**3 + 7*o**2 + 9*o - 4. Let b be x(-5). Suppose -5*m = -2*z - 21, -21 = -5*z + 2*z - 3*m. Is 38/z*b/1 prime? True Is 429902/110 + 6/(-5) a composite number? False Suppose 185*i - 152*i - 3967095 = 0. Is i a composite number? True Let f be 36/2*(-24)/(-48). Suppose 5705 = f*p - 352. Is p composite? False Let i(b) = 24*b**2 + 115*b - 132. Is i(-50) composite? True Let c = -14370 + 24183. Is c a composite number? True Let s be 12/(-15)*(-5)/2. Suppose -6*b = -s*b - j - 811, -5*j = 4*b - 817. Is b a prime number? False Let w(i) = 345*i + 11. Let g(b) = 6*b + 26. Let l be g(-4). Is w(l) a composite number? False Suppose 10033 = 2*g + 5*x, 0 = -4*g - 2*x + 5012 + 15046. Suppose 4082 = 8*u - g. Is u a prime number? False Suppose 3*q + 15367 + 26853 = 4*s, -s = -4*q - 10555. Is s prime? False Let n(r) = r**2 - 13*r - 18. Let v be n(14). Let p(q) = 9*q**2 + 3*q - 5. Let u be p(v). Suppose 0 = 4*z - 5*g - 90, 0*z - g = 5*z - u. Is z a composite number? True Let w(l) = 18*l**2 + 20. Let m be w(9). Suppose -x = -3*x + m. Is x composite? False Suppose 0 = -4*a + 3*a. Suppose a = 6*n - 10 - 2. Is (-1324)/(-6)*3/n a prime number? True Is 47761/(28/(-7) + 5) prime? False Let r(n) = n**3 - 5*n**2 + n - 8. Let f be r(4). Is (1895/f)/(-1)*4 a composite number? False Let n(y) = -y**3 - y**2 + 1. Let o(w) = 3*w**3 + 6*w**2 - 4*w + 8. Let b(u) = 2*n(u) + o(u). Is b(9) prime? False Let b(y) = -y**3 + 2*y**2 - 6*y. Let q(k) = -2*k**2 + 7*k - 1. Let a(l) = 3*b(l) + 2*q(l). Suppose -3*n - 2 = 7. Is a(n) a composite number? False Suppose 47*f = 93*f - 2903198. Is f a composite number? False Is -6 + 9 - -5047 - -1 a prime number? True Let k be ((-27)/6)/(-1)*-6. Let j be -1*(2 + -76) - 0. Let q = j + k. Is q a composite number? False Suppose 3*b - 22 = -2*n + 6*n, 3*n - 4*b + 20 = 0. Is n - (4 - 495) - 2 a prime number? False Suppose 2*a - 5*v - 30 = 0, -5*a + 2*v = -4*a - 13. Suppose -6*x + a*x + 311 = 0. Is x a composite number? False Let m(b) = 467*b - 2. Suppose 0*g + 20 = -4*g, -3*g - 3 = 4*r. Is m(r) prime? True Suppose -3*t - 2*r = -75299, -2*t - 75304 = -5*t - r. Is t prime? False Suppose -2*k + 27912 = -2*v, 2 = 4*v - 2. Is k composite? True Let d be 4 + 0/(3 - 0). Suppose -d*x - u + 3*u = 2, u - 5 = 0. Is -1*(-30 - 1)*x a prime number? False Is (-1345)/(-3) + -1*(-2)/3 prime? True Suppose 0 = -2*a + 6*a + 2*h - 16, -2*a + 4*h = 2. Suppose -a*w + 1281 = -5*g, 0 = -3*g + 5*w - w - 773. Is 4/(-22) + g/(-11) a prime number? True Let j(i) = -8483*i**3 - 2*i**2 - 6*i - 4. Is j(-1) composite? True Let j(k) = 52*k**2 - 39*k - 357. Is j(-16) prime? False Suppose 0 = -0*i + 3*i + 5*y - 11025, 3*i - 11013 = -y. Let j = i + -1909. Suppose w + m - 587 = 4*m, -3*w + j = -3*m. Is w prime? True Let l(r) = r - 5. Let d be l(5). Suppose 0 = -g - d*g + 535. Is g a composite number? True Suppose 1011 + 249 = -10*q. Let w = q - -272. Is w prime? False Suppose 2*k = -5*q + 66947, -40168 = -3*q + 8*k - 9*k. Is q composite? True Let a be (-5)/2 - (-32406)/44. Suppose -3*w + 61 = -a. Is w composite? True Is 6*6/(-24) + 16370/4 a composite number? False Let r(c) = -c**2 - 11*c + 29. Let l be r(-13). Suppose l*u - 306 = 921. Is u a prime number? True Is ((-2779)/(-4))/((-6)/(-24)) composite? True Let j = -268 - -475. Suppose -3*d + 5*d + 30 = 0. Is (j/15)/((-3)/d) a prime number? False Let o = 53 + -17. Let f be (-4)/(-18) - (-172)/o. Suppose 0 = -4*y + 4*c + 520, f*c = 3*y - 0*c - 388. Is y composite? False Let s be (48/1)/4 - 5. Suppose -6*y + 15 = -y. Let r = s - y. Is r a composite number? True Suppose 3*m - 13337 = p, 3*m = -p + 3*p + 13342. Suppose -v - 1148 = -j, 0 = -3*j + 4*v - 997 + m. Is j composite? True Is (-636)/(-53) + 8245 + 2 a prime number? False Let d(n) = 170*n**3 - 4*n**2 + 1. Let f be d(3). Suppose -5*x = -f - 1230. Is x composite? True Let l = -196 + 394. Suppose 2*d - 84 = l. Is d composite? True Let u = 4341 - 988. Is u a composite number? True Let m be 16/(-8)*(-21)/(-6). Let w(g) = -4*g**3 + 8*g**2 + 2*g + 9. Is w(m) prime? True Let x(z) = -z + 4. Let m be x(2). Let q = 6 - m. Suppose 0 = -0*t - q*t + 3068. Is t a composite number? True Let l = -24 - 703. Let i = 1386 + l. Is i composite? False Let x(w) = w**2 + 3*w + 3. Let q be (-6 - 3)*(-4)/6. Suppose 2 = -o - q. Is x(o) a composite number? False Suppose u - 2*t + 8 = -u, 0 = 3*u - 4*t + 7. Is (-7 + 0)*1041*3/u prime? False Suppose 16 = 3*u + u. Suppose 0 = -u*y + y + 108. Suppose y - 633 = -3*m. Is m composite? False Let t be ((-3)/((-21)/10))/((-2)/(-14)). Suppose 0 = t*z - 4*z - 9042. Is z prime? False Suppose 21 - 1 = s. Is (-5)/(-25) - (-10016)/s a composite number? True Suppose -3680 - 513 = -7*u. Let c = 98 + u. Is c a prime number? False Is (-543201)/(-15) - 0 - (-10)/(-25) a composite number? True Let i be 9/3 - (-5 + 8). Is 1/(-5) - (i + 19712/(-35)) a composite number? False Let j(m) = -m + 1. Let d(y) = 20*y**2 - 7*y. Let w(v) = d(v) - 4*j(v). Suppose -3*a + 10 = g, 0*g + 5*g + 25 = 0. Is w(a) a prime number? False Let w be (-6)/21 - (-340)/14. Is 722/4 - w/16 prime? True Suppose 6*i - 53 = 139. Suppose -97 - i = -v. Is v a composite number? True Let z(w) = 59*w**2 + 10*w - 12. Is z(7) a prime number? False Suppose 2*h - 4672 = h. Suppose -4*z + 0*z = -h. Suppose 0 = 4*a + 4*m - z, 733 + 147 = 3*a - m. Is a a prime number? True Let x(v) = 5*v**3 - v**2 - 7. Let b(w) = w**3 + w**2 - w. Let c(z) = -4*b(z) + x(z). Is c(7) prime? False Let f(a) be the second derivative of 58*a**3/3 + 7*a**2/2 + 2*a. Suppose 17*c - 20*c + 9 = 0. Is f(c) composite? True Let j = 34337 + -21244. Is j composite? False Let v(g) = -65*g**2 - 3*g - 3. Let r be v(-3). Let f = 1324 + r. Is f a prime number? False Suppose 5*u - 20 - 5 = 0. Let w(h) = -11*h - 10*h + u*h - 9. Is w(-8) composite? True Let l = -120985 - -236764. Is l prime? False Suppose -6790 = -3*b - 2*b. Let l(o) = 341*o + 1. Let v be l(-2). Let h = v + b. Is h a composite number? False Let o(w) = -27*w**2 - 7*w - 19*w**2 + 52*w**2 - 8. Let s be -5*(0 + (-1)/(-1)). Is o(s) a composite number? True Suppose -d = -35*d + 88774. Is d composite? True Suppose 0 = -11*d + 6*d + 5825. Is d composite? True Suppose 106*n - 96*n = 81470. Is n prime? True Let x be (-5)/(3/(30/(-25))). Suppose -3*z - 608 + 2731 = -4*c, -5*z + 3547 = x*c. Is z a prime number? True Suppose 0 = -2*g, -5*g - 5 = -3*s + 13. Suppose 3*o = s*o - 2*n - 3449, -5*o + 5*n + 5745 = 0. Is o a prime number? True Let m = -481 - -805. Let t = 713 - m. Is t a prime number? True Let j(c) = c**3 - 12*c**2 - 73*c - 127. Is j(42) composite? False Suppose 7*i + 4 = 11*i, a - 5*i = 5534. Is a prime? False Is 7 - (-1808)/(-7 - -9) prime? True Let m be ((-326)/(-3))/((-1)/(-6)). Suppose -39*p + 12 = -33*p. Suppose 2*l = -p*l + m. Is l a prime number? True Suppose 11*i = 261692 + 208305. Is i a prime number? True Let a(m) = m**2 + 160*m - 173. Is a(54) composite? False Suppose -4*o - 12 = 0, 5*r + 43*o - 23623 = 39*o. Is r a prime number? False Suppose 0 = 13*w - 11*w + 2296. Let y = -395 - w. Is y composite? True Let a(x) = -9*x**2 - 10*x + 9. Let r(c) = c**2 + c - 1. Let b(y) = -a(y) - 6*r(y). Is b(-12) a composite number? True Let y(m) = -59*m + 11. Let a be y(9). Is (-1)/1 - a - 58/(-29) a prime number? True Let u(a) = 260*a**3 + 2. Let v(t) = 261*t**3 - t + 2. Let o(f) = -2*u(f) + 3*v(f). Is o(1) composite? True Is 7 - (7 - -4) - -4077 prime? True Suppose -3*w = 4*g - 20, 0 = -2*w + 5*g - 15 + 36. Suppose -2094 = -w*l + 2*l. Let h = l + -228. Is h a prime number? False Let n(y) = 101*y**2 - 23*y - 71. Is n(-3) composite? False Suppose -2*a = a + 42. Let t = 18 + a. Is 669*t*4/48 a composite number? False Suppose 3*s - 4*w + 962 = 0, 0 = -5*s - 2*w - 0*w - 1586. Is (s/8 - 2)/((-14)/392) a composite number? True Let y = -11 + 2. Let n(q) = -3*q**2 - 7. Let c be n(-7). Let w = y - c. Is w composite? True Let l(f) = -5*f**2 + 1. Let r be l(1). Let o(v) = -3*v. Let x be o(r). Let c = 34 + x. Is c composite? True Let t = 39 - 18. Suppose -t*l + 9837 = -18*l. Suppose -i = -3*y - 2*y + l, 2*i = 5*y -
{ "pile_set_name": "DM Mathematics" }
be v + -1 - (-2)/1. Let c be 10/(-6) + l/(-3). Sort c, 6, 1 in decreasing order. 6, 1, c Let k = -0.17 - 7.83. Put -4, k, -2 in ascending order. k, -4, -2 Let a = -29758056 - -142392297332/4785. Let x = a + -2/957. Sort x, -2/7, -5 in decreasing order. x, -2/7, -5 Let u = 87 - 87.47. Let n = u + -0.03. Let b = 13 - 9. Sort n, -2/11, b in decreasing order. b, -2/11, n Let b = -15 + 26. Put 5, 3, b in descending order. b, 5, 3 Let r(f) = -f + 145. Let g be r(0). Let a be 4 + -1 - g/45. Suppose 8 - 4 = -4*y. Sort a, 1/12, y in decreasing order. 1/12, a, y Suppose -5*d - 14 = -5*t + 11, -5*d = -2*t + 19. Put t, -5, -4, 0 in ascending order. -5, -4, 0, t Let i(n) = 2*n**2 + 3*n + 3. Let q be i(-1). Sort 3/7, q, -1/4, 5. -1/4, 3/7, q, 5 Let d(u) = u + 4. Let r be d(-3). Let q = 646 - 642. Sort q, r, 0 in descending order. q, r, 0 Suppose s + 3 + 1 = 0. Suppose -3*b + 4 = t, -3*b + 5*b = 4*t + 26. Put b, s, -1 in increasing order. s, -1, b Let f = -10.4 - -10. Put -2/3, f, 2/11 in increasing order. -2/3, f, 2/11 Let j = -101 - -98. Sort j, 5/3, 1/3, -1/7 in decreasing order. 5/3, 1/3, -1/7, j Let b = -0.4 - 0.1. Let k = -357 + 352. Sort k, 0, b in ascending order. k, b, 0 Let j be (-34)/(-8) - 2/8. Let v be 0/(3/(-2 + 3)). Suppose v = x + 1 + 4. Put 0, j, x in ascending order. x, 0, j Let u be 10/8*(6 - 2). Let f = -6.94 + 7. Let o = f - 0.06. Sort u, o, 0.2 in ascending order. o, 0.2, u Let a = 13/30 + 9/10. Let r = 2.4 - -0.6. Sort 2/15, r, a. 2/15, a, r Suppose -5*g - 13 + 43 = 0. Let m = g + -3. Sort -1, m, 2 in descending order. m, 2, -1 Let c = 15 + -14. Sort -3, -2, c. -3, -2, c Let s(f) be the third derivative of -f**6/120 - f**5/15 + f**4/6 + 5*f**2. Let q be s(-5). Sort -6, 2, q in increasing order. -6, 2, q Suppose 0 = 4*w + r + 8 + 8, -r - 10 = 2*w. Put w, 0.1, -1/4 in increasing order. w, -1/4, 0.1 Let p be -1*(-4)/18*3. Let q(x) = x**3 + 7*x**2 + 5*x + 2. Let d be q(-6). Let w be (2/d)/(21/(-24)). Put w, -1, p in descending order. p, w, -1 Let g = 4 + 12. Suppose -l - 4*s = 3*l + g, 2 = 2*s. Sort -4, 0, l in descending order. 0, -4, l Let f = -4 + 5. Let h = f - 6. Put h, 4, 5 in increasing order. h, 4, 5 Let k(g) = 9*g - 27. Let f be k(3). Put -25, f, -3 in decreasing order. f, -3, -25 Let r(c) = -c**2 - c - 25. Let h be r(0). Let p = h - -20. Sort -1, 1, p in decreasing order. 1, -1, p Let q(o) = o**2 - o - 2. Let p be q(2). Let m = -1 + p. Suppose -l = t - 8, -l = t + t - 11. Sort 0, m, l. m, 0, l Let u = 15/13 + -144/91. Sort u, 1/2, -4 in descending order. 1/2, u, -4 Let s = -0.08 + 0.08. Let c = s + -0.2. Sort -2/7, c, 0.1 in descending order. 0.1, c, -2/7 Let g(p) = -p**3. Let m be g(0). Let b(f) = 3*f**3 + f**2 + f. Let s be b(2). Let w be 2/15 - 64/s. Put m, w, -1 in descending order. m, -1, w Suppose 0 = -5*c - 0 + 30. Let h be c/(-39) - 126/26. Sort h, 5, -3. h, -3, 5 Let u(m) = -m**3 + 13*m**2 - m + 16. Let g be u(13). Suppose 2*z = g*z - 5. Sort -4, 4, z in decreasing order. z, 4, -4 Suppose 5*r - 4*r = 4, k - 15 = -3*r. Put -5, 1, 4, k in increasing order. -5, 1, k, 4 Suppose -61 = 8*o + 59. Sort -2, o, 1 in ascending order. o, -2, 1 Let w(j) = j**3 + 6*j**2 - 7*j + 2. Let z be w(-7). Put 0, z, 1, 3 in decreasing order. 3, z, 1, 0 Suppose 0*a - 3*a - 36 = 0. Let q be 1 - (0 + a/(-3)). Sort q, 4, -2 in decreasing order. 4, -2, q Let c = 0.09 - 0.07. Let y = -0.52 + c. Suppose i = -0*i. Sort i, y, 2 in descending order. 2, i, y Let m = 0.54 - 0.04. Suppose -8 = -4*d - 4*r, -5*d = r + r - 7. Sort m, d, -3 in decreasing order. d, m, -3 Let v be 1/3 + (-11)/(-3). Let j = 18 + -18.3. Sort -1, v, j in increasing order. -1, j, v Let o be (-78)/63 + (-2)/(-3). Let j = -5.2 + 7. Let m = 0.8 - j. Sort m, o, 1/3. m, o, 1/3 Let f = 21 + -24. Let l = 1.9 + -2. Let j = l + 0.2. Put f, -2, j in ascending order. f, -2, j Let w be ((-4)/17)/(-4)*2. Let l = -2 - -2. Put w, l, -0.5 in decreasing order. w, l, -0.5 Suppose 2*h + 2*c - 1 - 3 = 0, 4*c = -12. Suppose 70 = -2*v + 78. Put v, h, 3 in ascending order. 3, v, h Let d = -3.95 + -0.05. Let i(o) = -o**3 + 6*o**2 - 4*o + 5. Let f be i(5). Suppose f = 2*t - 7*t + 5*y, 0 = t + 4*y - 3. Sort d, 0, t in decreasing order. 0, t, d Let c(z) = -3*z + 5. Let b be c(3). Sort 3, 1, b in descending order. 3, 1, b Let b = 57 + -55. Put -1, -4, b in descending order. b, -1, -4 Suppose 0*k + 5*k = -3*k. Sort 5, k, -1 in increasing order. -1, k, 5 Suppose 4*g + 14 = 3*g. Let u = -10 - g. Suppose 0 = u*m + 12. Sort m, -4, -1 in increasing order. -4, m, -1 Let r = -0.126 + -3.874. Sort r, 3, 2 in descending order. 3, 2, r Suppose -3*u - 12 = 3*u. Let a = 0.7 - -2.3. Put 0.1, u, a in descending order. a, 0.1, u Let l = -13/6 - -155/66. Suppose -2*g + 15 + 3 = 0. Suppose 0 = 4*a + 1 - g. Sort a, 2/15, l in increasing order. 2/15, l, a Let l = 0.07 - 4.07. Let r = -9 - l. Sort 3/8, r, -4 in decreasing order. 3/8, -4, r Let r be ((-10)/(-6))/(4/12). Suppose n + o = -1, 5*n - 3 = n + 3*o. Let p = n + 3. Sort p, -1, r in decreasing order. r, p, -1 Let q = -10 - -12. Put -0.5, q, -2 in descending order. q, -0.5, -2 Let q = -14 - -21. Let y = 7.2 - q. Suppose -2*d + 1 = -3. Put 3, y, d in descending order. 3, d, y Let b = 1.8 - 2. Let n = 3.16 + 0.24. Let v = 3 - n. Sort 1, v, b. v, b, 1 Let y be 3 - 2 - 357/6. Let d = 60 + y. Sort -5, d, -5/3 in increasing order. -5, -5/3, d Let i(q) = 8*q**2 - 3*q**2 + 3 + 11*q - 6*q**2. Let y be i(11). Sort -1, 4, y in ascending order. -1, y, 4 Let z = 8.1 - 7. Let g = z + -0.1. Sort 0, g, 0.5 in descending order. g, 0.5, 0 Let y = 2 - 2. Suppose 4*l = -y*o + 3*o - 14, 5*o = -l + 8. Suppose w = 0, o*d = d + 5*w. Sort -3, -2/7, d in descending order. d, -2/7, -3 Let k(q) = -8*q - 30. Let w be k(-5). Let l = -4 + 26. Let v be l/5 - (-6)/w. Sort v, 2, -1. -1, 2, v Suppose -2*u + 24 = 4. Suppose 3*y = 2*t + 11, -y + 5*t + 11 + u = 0. Sort 4, y, 5 in descending order. 5, 4, y Suppose -2*a = -5*p - 11, 3*a - 15 = -6. Sort p, 5, -2/13. p, -2/13, 5 Let p(c) = c**3 - 3*c**2 + c - 1. Let m be p(3). Sort 5, m, 0. 0, m, 5 Let b = 10 - 10.06. Sort -5, b, 2/11 in decreasing order. 2/11, b, -5 Let d = -2 - -3. Let n = -387.1 - -365. Let b = n + 22. Sort d, b, -4 in decreasing order. d, b, -4 Let v(k) = -k + 2. Let j(r) = -2*r**3 - 4*r**2 - 2*r + 2. Let c be j(-2). Let d be v(c). Let x be (6/4)/(3/d). Sort -4, 1, x in ascending order. -4, x, 1 Let c be -3*(-4)/6 + 0. Let k = 17 - 14. Sort c, k, 1 in ascending order. 1, c, k Let h = 0.05 - 0.75. Let w = 0.9 + h. Sort -0.4, 0.1, w in ascending order. -0.4, 0.1, w Let c(r) = -r**2 + 3*r + 3. Let s be c(4). Suppose 0 = -4*k + 4*v - 8, 3*v - 28 = 5*k + 4*v. Sort k, s, 2. k, s, 2 Suppose 2*d = -2 + 12. Suppose -2*t + g = -7*t + 28, 0 = 4*t + d*g - 35. Let p be (-56)/16 - 3/(-2). Sort t, p, -4 in decreasing order. t, p, -4 Let v = 0.122 + -5.122. Sort 5, 2/5, v in descending order. 5, 2/5, v Let v = 4 + -1. Suppose -1 = u + v. Let n = 0.1 - 1.1. Sort -2, u, n in descending order. n, -2, u Let n = 0.8 - -0.2. Let u = -11 + 10.84. Let i = u + -0.04. Sort i, n, -3. -3, i, n Let a be (-135)/(-25) - (-4)/(-10). Suppose a*i + 3 = 4*i. Put i, 4, -4 in ascending order. -4, i, 4 Suppose 7*z + 11 = 39. Put -2, z, 0 in decreasing order. z, 0, -2 Suppose w + x + 4*x = -24, -4*w - 16 = 4*x. Put -1, 5, w in increasing order. -1, w, 5 Let b(x) = x - 8. Let f be b(7). Let i be (2 - 2 - 5)*1. Suppose -r = -0*r - 4. Put i, f, r in increasing order. i, f, r Let o be (-4)/(-3)*(-18)/(-4). Sort o, -6, 1 in descending order. o, 1, -6 Suppose 2*p - f = 2, 3*f + 8 = 5*f. Let r be 25/2*(-2)/(-10). Sort p, r, 0.4 in decreasing order. p, r, 0.4 Let s(t) = -t**3 - t**2 - 2*t - 3. Let l be s(-2). Let u = 8 + -6. Let n(q) = 7*q + 59. Let f be n(-8). Sort u, l, f in decreasing order. l, f, u Suppose -4*j - 6 = -2*m, -3*m = -m + 2*j - 6. Let i be (1 - m) + -1 - -1. Sort -5, -1, i in ascending order. -5, i, -1 Let b = 1195/7 + -171. Suppose -5*r - 7 = -3*f + 3, 5*r - 4*f + 10 = 0. Sort -8, r, b in increasing order. -8, r, b Let d be (-9)/15 - (-1 + 0). Let a = 12/4771 - -8768990/42939. Let w = a + -204. Put 1/6, d, w in ascending order. 1/6, w, d Let z = 0.9 - -0.1. Let d = z - 1.4. Let w = 0.6 - d. Sort -2, -1, w in ascending order. -2, -1, w Suppose 3*u + 16 = -2*b, -3*b = -u
{ "pile_set_name": "DM Mathematics" }
8/55 Calculate prob of picking 2 x when two letters picked without replacement from {c: 3, a: 1, x: 4}. 3/14 Three letters picked without replacement from {f: 3, z: 3}. What is prob of picking 1 z and 2 f? 9/20 Calculate prob of picking 2 g and 2 q when four letters picked without replacement from ccggjcqqppjgrcp. 1/455 Calculate prob of picking 1 q and 2 s when three letters picked without replacement from {p: 1, s: 3, q: 1}. 3/10 Two letters picked without replacement from oovvvvoovvvvoovoooo. What is prob of picking 2 v? 4/19 What is prob of picking 1 l, 1 f, 1 g, and 1 z when four letters picked without replacement from zzzgfgzsszlszglgmz? 14/765 Three letters picked without replacement from kllllkklllkllkll. Give prob of picking 2 l and 1 k. 55/112 What is prob of picking 2 p and 2 c when four letters picked without replacement from {c: 4, p: 3}? 18/35 What is prob of picking 2 s and 1 q when three letters picked without replacement from {q: 9, s: 3}? 27/220 What is prob of picking 1 v and 1 l when two letters picked without replacement from flfflffvvlfvlvlfffl? 8/57 Calculate prob of picking 2 v when two letters picked without replacement from vvvv. 1 Four letters picked without replacement from dtdtddddddddddtd. What is prob of picking 1 d and 3 t? 1/140 Four letters picked without replacement from {a: 2, l: 7, c: 3}. Give prob of picking 2 l and 2 a. 7/165 Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {q: 1, w: 14}. 2/15 What is prob of picking 2 w and 1 h when three letters picked without replacement from {h: 11, w: 9}? 33/95 Two letters picked without replacement from iggiiii. Give prob of picking 2 g. 1/21 What is prob of picking 1 k and 1 m when two letters picked without replacement from {m: 12, k: 1}? 2/13 Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {y: 1, j: 1, z: 5, q: 4, l: 3}. 5/91 What is prob of picking 1 d and 1 j when two letters picked without replacement from gdddejedpde? 1/11 Three letters picked without replacement from iccccciicc. Give prob of picking 2 i and 1 c. 7/40 Four letters picked without replacement from {u: 4, k: 7, o: 1, g: 6, m: 2}. What is prob of picking 2 m, 1 k, and 1 g? 14/1615 Three letters picked without replacement from zlzzzllllzzzz. What is prob of picking 3 l? 5/143 Three letters picked without replacement from {w: 1, x: 17, b: 1}. Give prob of picking 1 b and 2 x. 8/57 What is prob of picking 3 m and 1 a when four letters picked without replacement from {m: 3, a: 4, u: 4, t: 3, p: 6}? 4/4845 Calculate prob of picking 2 w when two letters picked without replacement from wawwwwwwawaw. 6/11 Three letters picked without replacement from {y: 6, l: 4}. What is prob of picking 1 l and 2 y? 1/2 What is prob of picking 2 s and 1 p when three letters picked without replacement from {c: 3, o: 3, s: 9, p: 2}? 9/85 Three letters picked without replacement from wawwaaawwawaawaawawa. Give prob of picking 3 a. 11/76 Two letters picked without replacement from {b: 2, d: 1, k: 2}. What is prob of picking 2 k? 1/10 Two letters picked without replacement from {t: 4, z: 2, d: 1, o: 3, h: 4, w: 6}. Give prob of picking 2 o. 3/190 Calculate prob of picking 1 f, 1 g, and 2 y when four letters picked without replacement from {c: 2, y: 2, m: 3, g: 9, f: 1, p: 1}. 1/340 Two letters picked without replacement from sidzdddddsdddeddzd. What is prob of picking 1 i and 1 z? 2/153 What is prob of picking 2 z when two letters picked without replacement from zzzz? 1 What is prob of picking 1 u and 1 g when two letters picked without replacement from {u: 1, v: 1, a: 1, n: 3, k: 8, g: 2}? 1/60 Three letters picked without replacement from eafffeaaiafaahimaeae. Give prob of picking 1 e, 1 i, and 1 f. 8/285 What is prob of picking 2 v and 1 a when three letters picked without replacement from vssaaavsasvs? 3/55 Three letters picked without replacement from vvdzvdvz. What is prob of picking 1 v and 2 z? 1/14 Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwfw. 5/8 Calculate prob of picking 2 r when two letters picked without replacement from ccrrrcccccrccrcccc. 10/153 Four letters picked without replacement from oagoaoag. What is prob of picking 3 o and 1 a? 3/70 Calculate prob of picking 1 b and 2 d when three letters picked without replacement from ddbbbbbbb. 1/12 Calculate prob of picking 1 p, 2 j, and 1 r when four letters picked without replacement from {p: 2, r: 3, j: 3}. 9/35 Two letters picked without replacement from {a: 6, v: 2}. Give prob of picking 2 v. 1/28 Calculate prob of picking 3 w when three letters picked without replacement from wwwwww. 1 What is prob of picking 1 l, 1 p, and 1 t when three letters picked without replacement from vbvlbpblvslbbbt? 3/455 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 2, c: 11, u: 2}. 4/105 Three letters picked without replacement from yyyfyyyyyyffyyyyyfyy. Give prob of picking 1 f and 2 y. 8/19 What is prob of picking 2 n and 1 q when three letters picked without replacement from nnqqnnnnnqqnnnnnqnnn? 35/76 Two letters picked without replacement from emqe. What is prob of picking 1 q and 1 e? 1/3 Three letters picked without replacement from {e: 1, o: 2, i: 1, a: 2}. Give prob of picking 2 i and 1 o. 0 Calculate prob of picking 1 m and 1 h when two letters picked without replacement from hmhpp. 1/5 Three letters picked without replacement from ggkkrgggggrkrkdkk. What is prob of picking 2 r and 1 g? 21/680 What is prob of picking 2 v and 2 a when four letters picked without replacement from zzzvzvvava? 1/35 Four letters picked without replacement from ighyilyww. What is prob of picking 1 g, 1 i, and 2 y? 1/63 Two letters picked without replacement from {u: 9, w: 9}. Give prob of picking 1 w and 1 u. 9/17 Calculate prob of picking 3 v and 1 q when four letters picked without replacement from {g: 4, v: 11, q: 3}. 11/68 Three letters picked without replacement from ocoxgcxeexcooegcg. What is prob of picking 3 g? 1/680 Four letters picked without replacement from vvvvovvvvooogovvvvvv. Give prob of picking 2 o, 1 v, and 1 g. 28/969 Three letters picked without replacement from rbdybrpi. What is prob of picking 1 y and 2 r? 1/56 What is prob of picking 2 s when two letters picked without replacement from gssgu? 1/10 Calculate prob of picking 1 y and 1 i when two letters picked without replacement from hpyppphbi. 1/36 What is prob of picking 2 s when two letters picked without replacement from {s: 5}? 1 Four letters picked without replacement from qzkiikpzzikkkz. What is prob of picking 1 i and 3 z? 12/1001 Two letters picked without replacement from {f: 1, m: 1, o: 1, b: 1, u: 6, d: 1}. What is prob of picking 2 u? 3/11 What is prob of picking 1 r and 3 g when four letters picked without replacement from rgggrgrrgrrr? 14/99 Three letters picked without replacement from {n: 4, e: 9, z: 1}. What is prob of picking 2 n and 1 z? 3/182 Four letters picked without replacement from nllbbsp. What is prob of picking 1 s, 1 n, and 2 b? 1/35 Calculate prob of picking 1 q, 1 g, and 1 d when three letters picked without replacement from qpgpqqpgddp. 4/55 What is prob of picking 2 f and 1 z when three letters picked without replacement from zzzzzzzzzzzfzffzzz? 15/272 Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {i: 2, x: 1, c: 4, a: 5, k: 1, p: 2}. 4/105 Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {y: 5, v: 1, r: 11, u: 2}. 11/171 Two letters picked without replacement from utuzutt. Give prob of picking 1 z and 1 t. 1/7 Calculate prob of picking 1 a, 1 s, and 1 i when three letters picked without replacement from {x: 1, l: 1, s: 1, a: 1, i: 1}. 1/10 What is prob of picking 2 h when two letters picked without replacement from {t: 1, u: 1, h: 7, q: 6}? 1/5 Two letters picked without replacement from {a: 2, z: 1, y: 2, v: 1, f: 2}. Give prob of picking 2 f. 1/28 What is prob of picking 1 r and 1 e when two letters picked without replacement from eeeeerrreseeeeesssee? 39/190 Calculate prob of picking 2 h when two letters picked without replacement from h
{ "pile_set_name": "DM Mathematics" }
r**4/12 - 45*r**3/2 + 175*r + 18. Let c(v) be the first derivative of z(v). Let c(w) = 0. What is w? 0, 27 Let 18*u**3 - 36 - 4*u + 5*u + 39*u**2 - 5*u**2 - 8*u - 11*u + 2*u**4 = 0. What is u? -6, -3, -1, 1 Let m(v) be the third derivative of 0*v + 0 + 31/25*v**5 - 4418/15*v**3 - 1/150*v**6 - 141/2*v**4 + 118*v**2. Determine t so that m(t) = 0. -1, 47 Suppose -52*j = 67*j. Let m(f) be the third derivative of 1/15*f**5 + j*f + 0 - 2*f**2 + 50/3*f**3 - 5/3*f**4. What is d in m(d) = 0? 5 Let n(y) be the first derivative of -y**4/2 + 60*y**3 + 183*y**2 + 184*y - 818. Suppose n(a) = 0. What is a? -1, 92 Let i be (20/60)/((-20)/(-6)) - (-3159)/810. Let 2/15*v**2 + i*v - 62/15 = 0. Calculate v. -31, 1 Let c(w) = -4*w**2 - 36*w + 6. Let z(s) = -3*s**2 - 33*s + 4. Let k(n) = -2*c(n) + 3*z(n). Factor k(o). -o*(o + 27) Let w = -77 + 19. Let z = w - -60. Determine r so that -r**3 + 8*r**z - 12*r**4 + 10*r**3 + 11*r**3 = 0. -1/3, 0, 2 What is p in 58459*p**2 - 1806*p - 59855*p**2 - 998*p - 1404 + 4*p**3 = 0? -1, 351 Let i(o) be the second derivative of 5*o**7/168 + 3*o**6/4 + 27*o**5/4 + 595*o**4/24 + 245*o**3/8 - 2275*o. Suppose i(w) = 0. Calculate w. -7, -3, -1, 0 Factor 222 - 81226*d - 4*d**2 + 79838*d + 378 - 24*d**2. -4*(d + 50)*(7*d - 3) Let z be (-55 - -1)*50/175*7/(-6). Factor -21*c + 5/2*c**2 - z + 25/4*c**3. (c - 2)*(5*c + 6)**2/4 Let v(z) be the third derivative of 1/168*z**8 - 79*z**2 + 0 + 0*z**3 + 0*z - 1/2*z**5 + 0*z**4 - 13/105*z**7 - 29/60*z**6. Factor v(o). 2*o**2*(o - 15)*(o + 1)**2 Find n such that -3722*n + 20480 + 46*n**3 + 240*n**2 + 46*n**3 - 1078*n - 87*n**3 = 0. -64, 8 Let j be (-1 - -2)*((-193)/(-1737))/(2/1032). Determine z so that -16*z + j*z**3 + 0 + 112/3*z**4 + 20/3*z**5 + 32/3*z**2 = 0. -3, -2, -1, 0, 2/5 Let h(f) be the first derivative of -76 + 0*f**2 + 0*f + 2/35*f**5 + 3/14*f**4 + 0*f**3. Suppose h(q) = 0. Calculate q. -3, 0 Let y = -67 - -41. Let l = 28 + y. Determine p, given that -p - 58*p**3 + 57*p**3 - p**2 - 4*p**l - 3*p = 0. -4, -1, 0 Let u(p) be the third derivative of -p**8/560 + 29*p**7/350 - 129*p**6/100 + 152*p**5/25 + 112*p**4/5 + 83*p**2 - 5*p. What is x in u(x) = 0? -1, 0, 8, 14 Let x(a) be the first derivative of 0*a - 8/9*a**3 + 44 + 0*a**2 - 1/18*a**4. Factor x(v). -2*v**2*(v + 12)/9 Determine d so that 11/2*d + 1/2*d**3 - 35 + 5*d**2 = 0. -7, -5, 2 Let p = 292676 - 292676. Let -2/5*x**4 + 6/5*x**5 + p*x + 2/5*x**2 + 0 - 6/5*x**3 = 0. Calculate x. -1, 0, 1/3, 1 Factor -59*y**2 + 2*y**2 + 945 + 867*y - 24*y**2 - 14350*y**3 + 14347*y**3. -3*(y - 9)*(y + 1)*(y + 35) Factor 9/5 - 6/5*s - 11/5*s**2 + 4/5*s**3. (s - 3)*(s + 1)*(4*s - 3)/5 Let i(d) be the second derivative of -d**4/4 - 1073*d**3 - 3453987*d**2/2 + 9*d + 244. Determine s, given that i(s) = 0. -1073 Let l = -2 - -5. Suppose -3*t = 4*i - 17, -14 = i - 4*t - 4. Factor -4*j**i + 2*j**3 - j**2 - 84*j**4 + 8*j**l + 79*j**4. -5*j**2*(j - 1)**2 Let l be (-552*2 - 2)/(-3 - -5). Let p = l - -557. Determine w, given that 2/5*w**p + 4/15*w**3 + 2/5 - 2/15*w**5 - 2/15*w - 4/5*w**2 = 0. -1, 1, 3 Let q(i) be the second derivative of i**7/70 + i**6/10 - 3*i**5/50 - 7*i**4/5 - 4*i**3/5 + 48*i**2/5 + 10*i - 4. Solve q(u) = 0. -4, -2, 1, 2 Factor 4/7*q**2 + 0 + 404/7*q. 4*q*(q + 101)/7 Suppose -7*h + 9 = 2*h. Let p(l) = l**4 - l**3 - l. Let o(q) = 20*q**4 - 4*q**3 - 24*q**2 - 2*q. Let b(d) = h*o(d) - 10*p(d). Let b(v) = 0. What is v? -2, 0, 2/5, 1 Let p = 862 + -852. Suppose -5*a - 2*r + p = 0, 3*a - 3 - 3 = 4*r. Factor -8/9*y - 8/9 - 2/9*y**a. -2*(y + 2)**2/9 Let k(b) = -b**3 + 11*b**2 + 79*b + 17. Let v be k(16). Let y be (3/(-10))/(v/(-20)*8). What is t in -15/4*t + y*t**2 + 9/4 + 3/4*t**3 = 0? -3, 1 Suppose 5*u - 32 = -4*i, u + 2*i + 44 = 6*u. Suppose u*o = 36 - 12. Let -t**o - 1/6*t**4 - 5/3*t - 2*t**2 - 1/2 = 0. Calculate t. -3, -1 Let l(t) = t**2 - 9*t + 1. Let s(b) = -6*b**2 + 8247*b - 5630703. Let m(o) = -3*l(o) - s(o). Determine j so that m(j) = 0. 1370 Find n, given that -533968/5*n**3 - 206024/5*n**2 + 533988/5*n - 4*n**5 + 212552/5 - 6528/5*n**4 = 0. -163, -1, -2/5, 1 Let k(d) be the second derivative of -7/24*d**3 + 23/16*d**5 + 0 - 1/4*d**2 + 7/10*d**6 + 13/24*d**4 + 19*d. Suppose k(a) = 0. Calculate a. -1, -1/3, -2/7, 1/4 Let i(f) be the first derivative of f**5/80 - f**4/8 - 57*f - 41. Let w(a) be the first derivative of i(a). Factor w(d). d**2*(d - 6)/4 Let d be (-1702)/69*(-10)/8*-6. Let q be (d/(-35) + -3)*(-7 + 8). Let -q*r - 32/7 - 2/7*r**2 = 0. Calculate r. -4 Let k(u) = -3*u**2 - 18*u + 24. Let h be k(-8). Let z be -8 - (8 - (-464)/h). Solve 5*a + 5/3*a**2 + z = 0. -2, -1 Let k be (432535/209)/(-145) + 15. Let z = 1/5284 - -676341/58124. Factor 64/11*f - 24/11*f**2 + z + 2/11*f**4 - k*f**3. 2*(f - 4)**2*(f + 2)**2/11 Factor 0 - 1/2*l**4 + 9*l - 2*l**3 + 15/2*l**2. -l*(l - 3)*(l + 1)*(l + 6)/2 Let p = -7094 + 7096. Suppose -2/17*x**p + 8/17*x + 0 = 0. What is x? 0, 4 Let x be (-2)/7 + 836/133. Determine o so that -x*o + 6*o + 6*o - o**2 - 8 = 0. 2, 4 Let x(c) = c + c**3 - 1 + 4*c**2 - 17*c**2 + 8*c**2 + 4*c**2. Let b(d) = 15*d**3 - 3*d**2 + 12*d - 42. Let m(o) = -b(o) + 18*x(o). Determine v so that m(v) = 0. -1, 2, 4 Find q such that 11*q**5 + 1012*q**4 - 2224*q**4 + 693*q - 8*q**5 + 1134*q**4 - 696*q**3 + 78*q**2 = 0. -7, -1, 0, 1, 33 Factor -9*r + 5*r + 26*r**2 + 0*r + 176*r**3 - 2*r. 2*r*(8*r - 1)*(11*r + 3) Let l(i) be the second derivative of -7/18*i**3 - 1/36*i**4 + 38 + 2*i - i**2. Factor l(z). -(z + 1)*(z + 6)/3 Find j, given that 408/7*j + 0 + 4/7*j**4 + 556/7*j**2 + 152/7*j**3 = 0. -34, -3, -1, 0 Determine d so that 8*d - 28511*d**3 + 5*d**4 + 28*d**2 + d**5 - 4*d**4 - d**4 - 32 + 28497*d**3 - d**4 = 0. -4, -1, 2 Let b be (11648/(-616))/104 - (-70)/22. Solve 0 - 1/4*u**4 + 1/4*u + 3/4*u**b - 3/4*u**2 = 0 for u. 0, 1 Let k(q) = q**3 + 20*q**2 - 2*q - 24. Let h be k(-20). Factor 4*i**2 - 3*i**2 + 52 - h*i + 66*i - 3*i**2. -2*(i - 26)*(i + 1) Let i(g) = -2*g**3 - 234*g**2 - 244*g - 1389. Let j be i(-116). Solve 45/4 - 87/4*p + 3/4*p**j + 39/4*p**2 = 0 for p. -15, 1 Let c(k) be the third derivative of k**5/45 + 446*k**4/3 + 397832*k**3 + 992*k**2. Factor c(m). 4*(m + 1338)**2/3 Let d be (-2)/7*((-693)/(-1089))/((-64)/88). Suppose -67/4*k**3 - 54*k - 13/4*k**4 - 27 - 171/4*k**2 - d*k**5 = 0. Calculate k. -3, -2 Suppose -9*p**2 - 452*p + 156*p - 6*p**2 - 7*p**2 + 20*p**2 = 0. What is p? -148, 0 Suppose -f + 2*j + 63 = 0, -4*f - 20*j + 255 = -25*j. Let 23*q**2 - 18*q**2 + f*q - 15*q + 45 = 0. What is q? -9, -1 Let h be (1 + (-14)/6)/(86/(-129)). Let -364*v**2 + 10*v + 737*v**2 - 368*v**h = 0. Calculate v. -2, 0 Let q(m) be the first derivative of -5*m**6/36 - 5*m**5/3 - 175*m**4/24 - 125*m**3/9 - 10*m**2 - 386. Solve q(o) = 0. -4, -3, -2, -1, 0 Let y(p) be the second derivative of p**4/36 - 806*p**3/9 + 324818*p**2/3 - 4716*p. Let y(v) = 0. What is v? 806 Factor -n**3 - 30319*n + 105*n**2 - 13543 + 27844*n - 1582. -(n - 55)**2*(n + 5) Let n(x) be the first derivative of -85 + 0*x**3 + 0*x + 1/7*x**2 + 1/21*x**6 - 1/7*x**4 + 0*x**5. Factor n(d). 2*d*(d - 1)**2*(d + 1)**2/7 Let d(r) be the second derivative of 0 - 1/10*r**6 - 3/10*r**5 + 3/2*r**2 + r**3 + 56*r + 0*r**4. Factor d(h). -3*(h - 1)*(h + 1)**3 Let d be 2 - 3/(-24)*18*(-400)/750. Factor d - 2/5*z - 2/5*z**2. -2*(z - 1)*(z + 2)/5 Suppose 13 + 27 = 5*c. Factor 20*l**2 - 4*l + 2*l**3 + c + 2*l - 28. 2*(l - 1)*(l + 1)*(l + 10) Let y(h) be the first derivative of h**6/36 + 19*h**5/30 + 17*h**4/8 - 51*h**3/2 - 90*h**2 + 702*h - 2805. Find f such that y(f) = 0. -13, -6, 3 Suppose 4*n + 182 = 70. Let o be n/(-49) + (-124)/(-28) - 1. Factor 5*x + o*x**2 - 4/3*x**3 + 4/3. -(x - 4)*(2*x + 1)**2/3 Let f(v) = -214*v**2 + 1 + 265*v**2 + 4*v - 4. Let x be f(1). Determine p so that 393*p**2 + x*p**4 - 193*p**2 + 5*p**5 + 165*p**3 + 80*p - 2*p**4 = 0. -4, -1, 0 Let v be (4 - 8)/(-1) - (-21)/(-6). Let k(x) be the first derivative of 10 + 1/2*x**2 + v*x**3 + 1/8*x**4 + 0*x. Factor k(z). z*(z + 1)*(z + 2)/2 Let v(f) be the first derivative of -5929*f**6/6 + 25641*f**5/5 - 26779*f**4/4 + 3353*f**3 - 620*f**2 + 48*f - 3522. Suppose v(q) = 0. What is q? 1/11, 4/7, 3 Let i(y) be the third derivative of 0 - 162*y**2 + 0*y - 1/336*y**8 - 1/30*y**5 + 0*y**7 + 1/40*y**6 + 0*y**3 + 0*y**4. Find n such
{ "pile_set_name": "DM Mathematics" }
to -2? (a) 0.5 (b) 28 (c) -0.7 (d) 0 c Which is the nearest to -2? (a) 1/12 (b) 32.3 (c) -4 c Which is the closest to 10? (a) -1/3 (b) 0.2 (c) -2 (d) -1/2 b Which is the nearest to -3? (a) 1/3 (b) -2 (c) -2/9 (d) 3 b Which is the nearest to -3? (a) -5 (b) -5/4 (c) -0.1 b What is the nearest to 0 in 2/11, -1/4, -8, -2? 2/11 Which is the closest to -2? (a) -1/7 (b) 1 (c) 1/14 (d) 3 a Which is the closest to 31? (a) -0.2 (b) -1 (c) -3 (d) 0.4 d Which is the closest to 0? (a) 1/2 (b) 4/51 (c) -6 b Which is the closest to 1/2? (a) 3/8 (b) -0.1 (c) 1/5 (d) 0.3 a Which is the closest to 7? (a) -4/37 (b) 0.2 (c) -3 b Which is the nearest to 1? (a) -4 (b) -0.1 (c) 2253 (d) 0.3 d What is the closest to 0 in 0.5, -2/5, 1, -0.1? -0.1 What is the nearest to -1 in -3, -4, -0.2, 2.4? -0.2 Which is the nearest to 0.1? (a) -3 (b) -0.2 (c) 4 (d) 6 b What is the nearest to 113 in -1, -2, 1/2? 1/2 Which is the closest to 0? (a) 1/10 (b) 5/3 (c) 18 a Which is the closest to 0.6? (a) -2/13 (b) 1/4 (c) -0.9 b Which is the nearest to 16? (a) -3 (b) -0.4 (c) -4/5 (d) 5 d Which is the closest to 1? (a) -1 (b) 9 (c) 2/11 (d) 0.3 d Which is the nearest to -2? (a) -0.47 (b) 2 (c) 0.9 a Which is the closest to 0.008? (a) 2/5 (b) 44 (c) -2 a Which is the closest to -1/3? (a) -1 (b) 0 (c) 1/4 (d) -8 b Which is the closest to -2/3? (a) -0.8 (b) 4 (c) -1/3 (d) -5 a Which is the closest to 0? (a) 10 (b) -0.08 (c) 4/9 (d) 4 b What is the nearest to 1/4 in 1/151, -2/3, -3? 1/151 What is the closest to 5 in 4, 0.003, -0.5, -1? 4 What is the closest to 0 in 1/4, -4/3, -5, 0.19? 0.19 What is the nearest to -2/221 in 5, -1/2, -3? -1/2 Which is the closest to -2/21? (a) -1/2 (b) -3 (c) 2/7 (d) 4 c Which is the nearest to -2? (a) -16 (b) 1/3 (c) 0.13 c What is the closest to -2/5 in 6/25, -27, -2, -1? -1 What is the nearest to -1 in -1/2, -2/7, -11, 1? -1/2 What is the nearest to 0 in 3, -0.5, -0.2? -0.2 Which is the closest to 6/29? (a) -4/9 (b) -0.3 (c) -3/7 b Which is the nearest to 103? (a) 0.2 (b) 1 (c) -2/9 b What is the nearest to 2 in -1, -6, -30, -4? -1 Which is the closest to -0.1? (a) 0.5 (b) 7 (c) 2.46 a What is the nearest to -1 in 41, 4, 0.1? 0.1 What is the closest to 0 in 3/4, 62, -1/8? -1/8 What is the closest to -3/4 in -0.01, -7, -2/5, -0.3? -2/5 Which is the nearest to 38? (a) 1 (b) 5 (c) -2/9 b Which is the closest to 24/13? (a) -0.2 (b) -3 (c) 0.5 c What is the closest to 1 in 0, -3, -0.45? 0 Which is the closest to -29/9? (a) 0.4 (b) -4 (c) -1 b Which is the closest to 20? (a) 1 (b) -4 (c) -1/3 (d) 1/5 a What is the nearest to 5 in 11, -0.1, -0.4, 3/4? 3/4 Which is the closest to -0.13? (a) -6 (b) -0.2 (c) 7/6 b Which is the closest to 0.07? (a) -1 (b) 11 (c) 1 c What is the nearest to 0 in 2, 587, 1, 0? 0 Which is the nearest to -1? (a) -1/6 (b) -2 (c) -4.6 (d) 3 a Which is the nearest to -0.23? (a) -4 (b) 0.2 (c) -2/3 b What is the nearest to -0.4 in 0.4, 3, -6, -1/4? -1/4 Which is the nearest to 2/11? (a) 0.3 (b) -1/11 (c) -0.4 a What is the nearest to -26 in 3/5, 0.1, 0.4, 13? 0.1 Which is the nearest to -2/3? (a) 3 (b) 2/9 (c) 2/57 c What is the closest to 332 in 2, 0.6, -0.2? 2 Which is the closest to -1? (a) 0.006 (b) -5/4 (c) 1 (d) 0.1 b Which is the nearest to -1? (a) -3 (b) -66.2 (c) 0 c What is the closest to -2 in 1, 1/3, -2/11, 13? -2/11 Which is the nearest to -0.24? (a) -0.3 (b) 5 (c) 3 a Which is the nearest to -2/15? (a) 2 (b) 5/9 (c) 4 (d) 0 d What is the nearest to 2/9 in 2/15, 0.027, -4, -2/3? 2/15 Which is the closest to 2/3? (a) -7 (b) 3 (c) -2/5 c What is the closest to 119 in -1, 1/2, -0.1? 1/2 What is the closest to -3 in 2/3, 6/5, 0? 0 What is the closest to -83 in 30, -0.4, 1/7? -0.4 Which is the closest to 0.2? (a) -5 (b) 5 (c) 444 b Which is the nearest to 1/4? (a) 1/3 (b) 2 (c) 0.1 (d) -4 a What is the closest to 2 in 2/15, 0.1, 116? 2/15 What is the nearest to -25 in 0.5, -43, -0.2? -43 What is the closest to 1.47 in -4, -0.5, -2/11, -10? -2/11 What is the closest to -1 in -4/7, 2, 18, 2/11? -4/7 Which is the nearest to -17? (a) 1 (b) 5 (c) -75 a What is the closest to -3 in 2, 5, 2/9, -1? -1 Which is the nearest to -6? (a) 2 (b) -1/3 (c) -4/5 (d) 5 c What is the nearest to -0.1 in 1/62, -0.3, -17? 1/62 Which is the nearest to 1/4? (a) 243 (b) -0.4 (c) 0.5 c Which is the nearest to -0.17? (a) 11/3 (b) 0 (c) -1/4 c Which is the closest to -1? (a) 1/6 (b) -1 (c) 0.24 (d) -7 b What is the nearest to -3 in -0.4, -8, -2/11? -0.4 Which is the closest to 89? (a) 0 (b) 5 (c) -5 b What is the closest to -1 in 0.2, -0.32, -2, -1/7? -0.32 What is the nearest to -80 in -0.5, -0.1, 1/5? -0.5 Which is the nearest to 14/5? (a) -0.02 (b) 3 (c) -1/8 (d) 0 b Which is the nearest to 2/7? (a) 2 (b) -2 (c) 5 (d) 1/2 d What is the nearest to -0.3 in 1, -2, 0.2, 6? 0.2 What is the nearest to -2 in -6, 2/49, 1/6, 0.1? 2/49 Which is the nearest to 0? (a) 2/13 (b) 21 (c) 2/15 (d) 4 c Which is the nearest to 2/5? (a) 1/4 (b) 1/3 (c) 0.4 (d) 2/3 c Which is the nearest to 580/3? (a) -2 (b) -0.3 (c) -5 (d) -0.5 b What is the nearest to -9.2 in -0.04, 0.2, 1, -0.1? -0.1 What is the nearest to -2/5 in -1.6, 0.1, 3, -5/2? 0.1 What is the closest to 4 in 2/9, -3, 2, 0.5? 2 What is the closest to -0.1 in 2, 0.4, -0.09? -0.09 What is the nearest to -1 in -2/9, -0.4, -5/13, 4/3? -0.4 Which is the nearest to -4/7? (a) 1/14 (b) -2/15 (c) -0.07 b What is the closest to -3/2 in -0.2, 4, -0.3? -0.3 Which is the closest to -5? (a) 0.4 (b) 3 (c) -0.5 (d) 2 c What is the nearest to 6 in 2/11, 1, 3.7, -1? 3.7 What is the nearest to -3 in 2/7, -0.1, 1.14? -0.1 What is the nearest to -2 in 2/11, -18, 2/23, -3/4? -3/4 What is the nearest to -1/6 in -2/9, 4, 0.3? -2/9 What is the closest to 6 in -5, -2, -3? -2 Which is the nearest to 0.2? (a) 2/7 (b) 17 (c) 0.3 (d) -1 a Which is the closest to 1? (a) -0.5 (b) -4 (c) -1.3 (d) -23 a Which is the closest to 0? (a) 2/5 (b) -1.6 (c) -0.1 (d) 3 c What is the nearest to -2 in -2/13, -2/9, 2/75, 15? -2/9 Which is the nearest to 59? (a) 0.5 (b) -0.34 (c) -3 a Which is the nearest to 0.2? (a) 21 (b) -1 (c) 2/7 c Which is the nearest to -0.1? (a) 2/5 (b) 3/4 (c) -4 (d) 0.12 d Which is the nearest to 1? (a) -4/9 (b) 0.1 (c) -5 b What is the closest to 0.2 in 2, 8, -39, 2/9? 2/9 Which is the closest to 1? (a) 1/6 (b) -0.01 (c) 2.3 a What is the nearest to -1/2 in -5, -0.1, 7.4, 1/2? -0.1 Which is the nearest to -1/4? (a) -0.1 (b) -5 (c) -15 a Which is the closest to -150? (a) 4 (b) -0.1 (c) -4 c What is the closest to 2 in -1/7, 0.03, 1? 1 Which is the closest to 0? (a) 3/5 (b) 1/5 (c) -0.04 (d) 7 c Which is the closest to 0? (a) 57 (b) 1/6 (c) 2 (d) 1 b Which is the closest to 4? (a) -1 (b) 32 (c) 2/15 c What is the nearest to 6 in -5, -3, 0.03, -1/5? 0.03 Which is the nearest to -1/4? (a) -2/3 (b) -0.4 (c) 0 (d) -2 b Which is the nearest to 0? (a) -0.3 (b) -1 (c) 0.5 (d) 31 a What is the nearest to 2/3 in 1, 1/6, -0.02? 1 What is the nearest to -0.2 in 0.02, 5/3, 1/208? 1/208 What is the nearest to 1 in 3, 0.3, 2.25, 1? 1 What is the closest to 0 in -0.4, 2/7, 3/8, 1/52? 1/52 What is the closest to -0.1 in -3/8, 0.66, -0.5, -3/7? -3/8 Which is the closest to 2/9? (a) 314 (b) -5 (c) 3 c Which is the closest to 5/109? (a) 0 (b) 3 (c) 2/9 a Which is the nearest to 318? (a) 0.4 (b) -2 (c) -1 a Which is the closest to -2? (a) 4 (b) 2/5 (c) -1105 b What is the closest to -1/4 in 2/193, 2/9, 3/2? 2/193 Which is the closest to 2/7? (a) 0.07 (b) 4 (c) -0.1 (d) 2/5 d Which is the nearest to -23? (a) 5 (b) 3/5 (c) 0 c Which is the nearest to -0.1? (a) -4/5 (b) 12 (c) -5 a Which is the nearest to -1/8? (a) 4/7 (b) 0.1 (c) 1/5 b Which is the nearest to -4? (a) -3 (b) 1/3 (c) 0 a What is the closest to -2/5 in -6, -9, -4, 0.5? 0.5 Which is the closest to -3/4? (a) -4 (b) -116 (c) 0.3 c What is the nearest to 184 in -5, 1/5, -3, 0? 1/5 What is the closest to -0.13 in -0.5, -0.2, -2? -0.2 What is the closest to 83 in 4, 0.5, 0, -2/17? 4 Which is the nearest to -0.1? (a) -10 (b
{ "pile_set_name": "DM Mathematics" }
*2 + 3*o + 1. Give u(x). 3 Let b(h) = -5*h + 2. Let c(m) = -10*m + 5. Let v(a) = 5*b(a) - 2*c(a). Determine v(1). -5 Let o(d) = d**2 - d + 2. Suppose -2*s + 15 = s. Suppose -p + 12 = -2*z, 0 = 5*p - z - s - 10. Calculate o(p). 4 Let p(t) = -3*t. Suppose -5*r = -0 - 10. Suppose 2*s + r = -0. Determine p(s). 3 Let y be 3 - 2/(-6 + 4). Let b(u) = -y + 3*u - u**2 - 3 + 3*u. Suppose -4*l + 25 - 5 = 0. Determine b(l). -2 Let l(s) be the first derivative of -1/3*s**3 + 1 - 1/2*s**2 + s. Calculate l(2). -5 Let n(b) = 2*b + b - 4*b. Let y be n(-2). Let v(o) = -3*o**3 + 3*o + 1 - y*o - o + 2*o. What is v(-1)? 2 Suppose 4*a = l + 23, -a = 3 - 8. Let q be ((-3)/l*-1)/(-1). Let b(w) = w**2 - w - 1. Determine b(q). -1 Suppose x - 25 = 3*i, 2*x - 3*i - 75 = -x. Suppose 2*h = 4, 5*d - 5*h = -0*d - x. Let c(j) = -j**2 - 2*j + 1. What is c(d)? -2 Let n(o) = o**2 + 7*o - 4. Suppose 2*j = j - 7. Calculate n(j). -4 Let q(f) = 5*f + 2. Let b = -72 - -67. Give q(b). -23 Let p = 1 - 0. Let s(l) = -5 + 4*l + 0 + l**2 + 0*l**2 - p. Suppose -46 = 5*r - 0*j - 4*j, 5*j = -r + 14. Calculate s(r). 6 Suppose 6 = -3*n, -4*g = -2*g + 5*n + 10. Let l(t) = -4 + g + 3*t**2 + 5*t - t**2. Give l(-4). 8 Let w be (3/(-2))/(51/(-34)). Let d be (2 + -3 - -1)/w. Let b(h) = h**3 - h - 10. What is b(d)? -10 Let x(z) = -z**3 + 4*z**2 - z + 5. Suppose 4*q + 28 = -2*k, 0 = -2*q + 3*q - 5*k + 7. Let m = 4 + q. Let g = m - -7. Calculate x(g). 1 Let t(m) = 2*m**2 - 5*m - 1. Let l(s) = -4*s**2 + 11*s + 2. Let y(g) = -4*l(g) - 9*t(g). Let i be 64/(-36) + (-2)/9. Give y(i). -9 Let n = 0 + 0. Let g(a) = a**2 + a + 5. Let y be g(0). Let j(z) = z**3 - z. Let r(i) = -4*i**3 - i**2 + 5*i + 1. Let t(m) = y*j(m) + r(m). Give t(n). 1 Let z(r) = -5*r + 6*r + 2*r. Let j(d) = -d**3 + 5*d**2 - 6*d + 6. Let a be j(4). Calculate z(a). -6 Let g(r) = -r**3 - 5*r**2 + 2. Let a(s) = s**3 - 7*s**2 - s + 2. Let w = -8 - -15. Let u be a(w). What is g(u)? 2 Let x(p) be the second derivative of -p**5/20 + p**4/12 + p**3/2 + 2*p. Give x(3). -9 Let c(x) = -x**2 + 3*x. Let k be 5 - (2 + -3 + 1). Suppose -k*a - 8 = -10*a - 3*m, -2*a - 3*m - 4 = 0. Give c(a). -4 Let y(j) = 2*j**2 + 4*j. Let i(m) = 4*m. Let k be i(1). Let o(u) = u**3 - 4*u**2 + u - 2. Let l be o(k). Suppose 0 = -l*z + z - 3. Give y(z). 6 Let p(a) = -a**2 + 2*a. Let i be p(2). Suppose i = c - 4*c + 9. Let w(x) = -x + 2. Calculate w(c). -1 Let n be (4 + -2)/((-1)/(-4)). Suppose 3*x = 2 - n. Let y(l) be the first derivative of l**3/3 + l - 3. What is y(x)? 5 Let f(o) = o - 1. Let k = -2 + 6. Calculate f(k). 3 Let y(z) = 6 - z**3 - z + 0 - 2 + 5*z**2. Let v be y(5). Let k(m) be the second derivative of -m**4/6 + m**3/3 + m**2/2 - m. Give k(v). -3 Let s(n) = -n**3 - 3*n**2 + 2*n - 2. Let y(v) = v**2 + 2*v - 3. Let j be y(0). Calculate s(j). -8 Let h be (4 - 5)/(2/(-4)). Let s(z) = h*z**2 - 4*z**2 + 3 + z**2 + 2*z - 4*z. Let c = 3 + -1. Calculate s(c). -5 Let d(u) = 14*u**2 - 26*u + 6. Let m(n) = 5*n**2 - 9*n + 2. Let w(b) = -6*d(b) + 17*m(b). What is w(-2)? -4 Let j(o) be the first derivative of -o**7/840 - o**6/72 - o**5/24 - o**4/8 + o**3/3 + 1. Let g(w) be the third derivative of j(w). Give g(-4). 1 Let g be 14 - 1*(1 - -1). Let b = 10 - g. Let r(a) = -6 + 3 + a**2 + 2. Determine r(b). 3 Let n(j) = -3*j**2 + 6 + 3*j - 4 + 4*j**2 - 3*j**2. Calculate n(-3). -25 Let c(z) be the third derivative of 5*z**4/24 - z**3/3 + 14*z**2. Calculate c(-3). -17 Suppose -5*s + z = 5*z + 5, 4*s + 3 = -3*z. Suppose s*p + 0*p - 9 = 0, -2*n - 3*p = -5. Let m be (-10)/4 - 1/n. Let l(v) = v**3 - v**2 - 3*v - 3. What is l(m)? -9 Suppose 0 = 5*w + 5, 2*u + 2*w = 5*w + 11. Let v = u + -1. Let s(b) = 4 + v + 4*b + b - b**2. Give s(5). 7 Suppose h - 4*h + 2*d = -10, 0 = -5*d - 10. Let l(w) be the third derivative of -1/3*w**3 + 1/8*w**4 + 0*w - w**h + 0. Determine l(-2). -8 Suppose 6*t + 4*n = 2*t + 4, 0 = 2*t + n - 6. Let b(d) = -1 - d**2 + 5*d - 4*d + 6*d - 6. Calculate b(t). 3 Let i(h) = h**2 + 14*h + 13. Let z(y) = y**2 + 15*y + 14. Let w(k) = 7*i(k) - 6*z(k). Suppose -3 = 5*g + r + 28, 0 = -r + 4. Give w(g). 0 Let a(t) = -21*t**2 + 33*t**2 - 1 - 17*t**2. What is a(1)? -6 Let h(c) be the first derivative of -2*c**3/3 + c**2 + 5*c + 40. Determine h(4). -19 Let b(k) = k**3 - 4*k**2 - 5*k. Let z = 4 - 2. Suppose 5*d + 5*q - 15 = 0, -3*d - z*q + 7 = -4. Give b(d). 0 Let v(a) be the third derivative of -a**5/60 + a**4/3 - a**3 - 60*a**2. Calculate v(6). 6 Let z(c) = c**3 - 7*c**2 + 8*c. Let u be (-3)/((-9)/21) + -1. Determine z(u). 12 Let i(l) = -6*l**2 + 8. Let j(r) = r**2 - 1. Let n(a) = -5*i(a) - 40*j(a). Calculate n(1). -10 Let b(d) = 3*d**3 - 3*d**2 + 2*d + 1. Let t be b(2). Suppose 2*g - 2*r - t = -7*r, -r + 5 = 2*g. Let z(p) = -2*p - 4*p + g + 5*p. Determine z(2). -1 Let g be (-17)/(-3) + 6/(-9). Suppose 5 = -3*w + t, -g*t = -1 + 6. Let i(n) = n - 7. Let j(h) = -h + 3. Let x(b) = -3*i(b) - 7*j(b). Give x(w). -8 Let c(f) be the third derivative of -7*f**6/120 + f**3/6 - 40*f**2. What is c(1)? -6 Let y(z) = -z + 1. Suppose -6*l = -7*l - 2. Let p be y(l). Let r(t) = -t. What is r(p)? -3 Let k(s) = s**2 - s - 5. Let g(w) = -w**3 + 7*w**2 + 7*w + 8. Let u be g(8). Suppose 2*y - 11 - 5 = u. Let n = 8 - y. Give k(n). -5 Let x(h) be the second derivative of -1/3*h**3 - 1/6*h**4 - 1/20*h**5 + 0 + 0*h**2 + h. Calculate x(-2). 4 Let j = 0 - 0. Suppose -2*y + 10 = 0, j = 5*w + 3*y - 31 + 11. Let f(b) = -6*b**2 - 1. Determine f(w). -7 Let c(t) be the third derivative of -t**2 + 0 + 1/60*t**5 + 0*t - 1/6*t**3 + 5/24*t**4. Suppose -20 = 2*x + 2*x. Determine c(x). -1 Let k(x) = -5 + 0 - 6*x + 3*x. Let r = -48 - -44. What is k(r)? 7 Let z(y) = -4*y - 12 + y + 0 + 4*y. Give z(5). -7 Let o(y) = -4*y. Let q(l) = l + 5 - 4 - 2. Let g(i) = -o(i) - 3*q(i). What is g(-4)? -1 Let q = -7 + 8. Let i = q + 2. Let r(v) be the first derivative of -2*v**3/3 + 5*v**2/2 - 4*v + 1. Calculate r(i). -7 Let f(t) = t + 1. Let u(g) = 2*g**2 + g - 10. Let a be u(-3). Determine f(a). 6 Let l(f) = f**3 + 9. Suppose m = 5*r - 20, 4 = -2*m - m + r. Determine l(m). 9 Let v be (-86)/(-7) + (-2)/7. Let r be 1 + v/9*3. Let t(y) = y - 7. Calculate t(r). -2 Let b(w) be the first derivative of w**4 - w**3/3 + w**2 - w - 50. Give b(1). 4 Suppose -3*y - 35 = 2*y. Let t(s) = s**2 + 8*s + 10. Let o be t(y). Let l(x) = 2 + 59*x**3 - 58*x**3 + 2*x**2 - 6*x**2. Determine l(o). -7 Let u(r) = -r + 2. Let o(w) = -2*w + 4. Let h = 18 - 9. Suppose -4*g + 35 = -0*l + 5*l, -3*g + 2*l + h = 0. Let i(k) = g*u(k) - 3*o(k). Determine i(4). 2 Let a be (3/(-6))/((-1)/(-14)). Let v(y) = 2*y + y + 4*y + 22*y**2 - 21*y**2 - 5. Determine v(a). -5 Let h = 3 + -5. Let v(s) = -2*s - 9*s**2 + 10*s**2 - 3*s**2 - 2*s**2. Calculate v(h). -12 Let d(c) = -6 + 12*c + 16*c + 13*c - 39*c. Calculate d(3). 0 Let c(s) = s**3 + 6*s**2 + 6*s + 5. Let i(h) = -4*h**3 - h**2 + h. Let w be i(1). Calculate c(w). 13 Let k(x) = 3*x + 1. Let i(m) = 1 - 9*m - 4 + 2*m. Let w(y) = 2*i(y) + 5*k(y). Let q be 6/4*-2*2/(-2). Give w(q). 2 Let s(u) = 26*u - 7. Let p(x) = 76*x - 20. Let w(m) = 6*p(m) - 17*s(m). What is w(-1)? -15 Let m(i) be the second derivative of i**3/6 + 2*i**2 - 2*i. Suppose -4*u - 3*o - 3 = 0, -2*o - 9 = 1. Suppose 9 = -3*p, u + 0 = -t - p. What is m(t)? 4 Let o(x) = -x. Let a(u) = 6*u. Let i(k) = -a(k) - 5*o(k). Let q be 1 - 2/(4/(-14)). Suppose 12 = 4*f - q. Determine i(f). -5 Let q(l) be the third derivative of l**6/120 - l**4/8 - l**3/2 - 2*l**2. Suppose -a = 5 - 1. Let k be 0 - a/(2/(-1)). Calculate q(k). -5 Let p(o) = -7*o - 3. Let y(w) = -15*w - 7. Let r(c) = -9*p(c) + 4*y(c). Let b(s) = s. Let u(f) = -5*b(f) + 2*r(f). Give u(5). 3 Let g(k) = -k**2. Let t(n) = -3*n**2 - 5*n - 1. Let v(w) = -4*g(w) + t(w). Determine v(5). -1 Let o be (-16)/((-16)/(-4)) - -2. Let n(w) = 2*w**2 + 2*w + 2. What is n(o)? 6 Let s(u) be the first derivative of 5*u**4/24 - u**3/2 - u**2 + 3. Let l(o) be the second derivative of s(o). Let g = -3 + 5. Determine l(g). 7 Let z(j) = -j**2 + 6*j. Let b be z(6). Let t = 2 - b. Suppose 5*p + 23 = -r, -t*r + 3*r + 15 = -3*p. Let d(m) = -m - 9. Determine d(p). -5 Let k(o) be the first derivative of o**3/3 - 4*o**2 + 7*o - 36. Give k(6). -5 Let m(t) = t - 1. Let a(k) = -3*k + 5. Let y(o) = -a(o) - 4*m(o). Let d(c) = -3 - 2 + c**2 - c + 3. Let
{ "pile_set_name": "DM Mathematics" }
- 3*t + 3. Let i be m(-3). Factor 2*a + 2*a**i + 0*a**3 - 4*a**2 + w*a**2. 2*a*(a - 1)**2 Let z(a) be the second derivative of 0 - 3*a + 0*a**2 + 1/9*a**4 - 1/18*a**3. Determine d, given that z(d) = 0. 0, 1/4 Solve -1/3*b**5 - 8/3*b + 8/3*b**4 + 22/3*b**2 - 7*b**3 + 0 = 0 for b. 0, 1, 2, 4 Suppose 0 = d + 2*d - 3*j - 12, 4 = -5*d - j. Let q(i) be the third derivative of d*i - 1/180*i**5 + 0 + i**2 + 0*i**3 - 1/36*i**4. Find y, given that q(y) = 0. -2, 0 Let a be (22/4 + -5)/1. Factor -a - 3*m - 9/2*m**2. -(3*m + 1)**2/2 Let p(x) be the second derivative of -x**7/42 - x**6/5 - 7*x**5/10 - 4*x**4/3 - 3*x**3/2 - x**2 - 14*x. Let p(y) = 0. Calculate y. -2, -1 Factor -5*o + 17*o**2 - 4*o + 19*o**2 + 14 - 35*o**2. (o - 7)*(o - 2) Let a = 445 - 442. Let r = 8/19 - 13/76. Factor -r*f**a - 1/4*f + 0 + 1/2*f**2. -f*(f - 1)**2/4 Let d(n) be the third derivative of -n**6/360 + n**5/180 - 7*n**2. Factor d(b). -b**2*(b - 1)/3 Let h(s) be the third derivative of s**7/35 - s**6/30 - s**5/10 + s**4/6 + 11*s**2. Determine k, given that h(k) = 0. -1, 0, 2/3, 1 What is q in -9*q**4 - q**5 + 27*q + 66*q**3 + 4*q**5 - 15*q**4 - 72*q**2 = 0? 0, 1, 3 Let a be (0 - 2/(-6))*(29 - 23). Let f(u) be the first derivative of 3 + 1/5*u**a - 2/15*u**3 + 4/5*u. Factor f(y). -2*(y - 2)*(y + 1)/5 Factor 4 + 4*k**3 - 4*k - k**4 - 5*k**4 + 5*k**4 - 3*k**2. -(k - 2)**2*(k - 1)*(k + 1) Let m = -11 - -5. Let v = m - -6. Suppose -2/3*o**3 + 2/3*o + 0 + v*o**2 = 0. What is o? -1, 0, 1 Let m(z) = z**3 + 11*z**2 + 14*z + 22. Let a be m(-10). Let q be (2/6)/((-4)/a). Let 3/2*y - 3/2*y**3 + q*y**2 - 3/2 = 0. What is y? -1, 1 Suppose 0*s = -s. Suppose 6 = -s*l + 2*l. Factor -1/4*i**4 - 1/4*i**2 + 1/2*i**l + 0 + 0*i. -i**2*(i - 1)**2/4 Solve 0 - 2/3*u + 2/9*u**2 = 0 for u. 0, 3 Suppose -13*m + 31 + 8 = 0. Determine l so that 0*l**2 + 8/7*l**m + 0 + 0*l + 2/7*l**5 - 8/7*l**4 = 0. 0, 2 Let i = 4 + -13. Let l(h) = h**3 + 8*h**2 - 8*h + 11. Let w be l(i). Factor -4/7*j**2 + 2*j**3 + 4/7 - w*j. 2*(j - 1)*(j + 1)*(7*j - 2)/7 Let r(o) be the third derivative of -o**6/120 + o**5/15 - o**4/6 + o**3/3 + o**2. Let a(d) be the first derivative of r(d). Determine j so that a(j) = 0. 2/3, 2 Suppose 0 = -g + 3*v - 15, -13*g + 2*v - 10 = -11*g. Factor g - 2/13*z**3 + 0*z - 4/13*z**2 + 2/13*z**4. 2*z**2*(z - 2)*(z + 1)/13 Let n be (-19)/57 - (-110)/6. Let r = n + -16. Factor 0*f + 4/3*f**r - 2/3 + 0*f**3 - 2/3*f**4. -2*(f - 1)**2*(f + 1)**2/3 Let k(y) = y**2 + 16*y + 60. Let d be k(-11). Determine s so that 0*s**2 + 2*s**d - 8/3*s**4 + 0 + 2/3*s**3 + 0*s = 0. 0, 1/3, 1 Let z(a) be the second derivative of 25*a**7/21 + 2*a**6 - 18*a**5/5 + 4*a**4/3 - 2*a + 10. Factor z(g). 2*g**2*(g + 2)*(5*g - 2)**2 Let n be 14/35*(15/36 - 0). Let b(c) be the second derivative of -1/6*c**4 - 3*c + 0*c**5 + 0*c**2 + 0 + 1/15*c**6 - 1/42*c**7 + n*c**3. Factor b(s). -s*(s - 1)**3*(s + 1) Find p such that -4*p**2 + 3*p**3 - 2*p**2 - 3*p - 7*p**2 + 10*p**2 + 3 = 0. -1, 1 Let c(q) = -q**2 - 3*q - 1. Let i be c(-3). Let h = 7 + i. Factor 3 + h*y**2 + 3*y**3 - 3. 3*y**2*(y + 2) What is r in 5*r - 5/3*r**2 + 0 = 0? 0, 3 Let x(z) be the third derivative of z**6/40 - 3*z**5/20 + z**4/4 - 4*z**2. Factor x(r). 3*r*(r - 2)*(r - 1) Let h(y) be the third derivative of y**5/15 - y**4/3 + 2*y**3/3 + 3*y**2. Factor h(d). 4*(d - 1)**2 Factor 6/7*f**2 - 6/7*f**5 - 2*f**4 + 4/7*f - 6/7*f**3 + 0. -2*f*(f + 1)**3*(3*f - 2)/7 Let w be (-10)/(-12) - (2/6 + 0). Let y(s) be the first derivative of w*s**4 + 3 - 2/3*s**3 + 0*s + 2/5*s**5 - s**2. Factor y(o). 2*o*(o - 1)*(o + 1)**2 Let k(l) be the first derivative of -2*l**5/45 - l**4/9 - 2*l**3/27 - 4. Factor k(j). -2*j**2*(j + 1)**2/9 Let t = 3/622 - -9913/8086. Solve -68/13*k**2 - 50/13*k**5 - 98/13*k**3 + 40/13*k + t + 160/13*k**4 = 0. -2/5, 1, 2 Let j = 160/93 + -12/31. Let g(a) be the first derivative of -j*a**3 - 2 + 1/2*a**4 + 0*a + a**2. Suppose g(l) = 0. What is l? 0, 1 Suppose 3*u + 9 = u - 3*l, 3*u - 3*l = 9. Let -4*f**4 + u*f**3 - 2*f + 0*f**3 + 0*f**3 + 6*f**3 = 0. Calculate f. -1/2, 0, 1 Let g(m) be the first derivative of m**3/15 + 3*m**2/10 - 21. Factor g(t). t*(t + 3)/5 Let b be (0 - -3)/(-3) - -9. Suppose 1 = 3*n - b. Factor -1/2*u**4 + 0 - 3/2*u**n - 1/2*u - 3/2*u**2. -u*(u + 1)**3/2 Let 4*t**5 - t**5 + 2*t**3 - t**4 - 4*t**4 = 0. What is t? 0, 2/3, 1 Let u(z) be the first derivative of 0*z + 1/6*z**2 - 1/9*z**3 - 6. Factor u(r). -r*(r - 1)/3 Let z(u) be the third derivative of u**7/350 - u**6/40 + 2*u**5/25 - u**4/10 - 8*u**2. Factor z(h). 3*h*(h - 2)**2*(h - 1)/5 Let c be (25/(-10))/(((-15)/6)/5). Let m(y) be the third derivative of 0*y**6 + 0*y**c - 2*y**2 + 0*y**3 + 0*y**4 + 1/105*y**7 + 0*y + 0. Solve m(l) = 0. 0 Let z(p) be the third derivative of -p**8/3360 - p**7/420 + p**5/15 - p**4/12 - 3*p**2. Let h(k) be the second derivative of z(k). Solve h(l) = 0 for l. -2, 1 Let c(d) be the second derivative of -d**4/4 + 2*d**3 + 15*d**2/2 - 2*d. Solve c(m) = 0. -1, 5 Suppose 4/9*z - 2/9*z**2 + 0 - 2/9*z**3 = 0. Calculate z. -2, 0, 1 Find h, given that -2/3*h + 0 + 2/3*h**2 = 0. 0, 1 Let w(g) be the third derivative of -g**5/540 + g**4/72 - g**3/27 + 11*g**2. Determine c so that w(c) = 0. 1, 2 Find d, given that 5*d - 33/4*d**2 + 5*d**3 - 1 - d**4 = 0. 1/2, 2 Let m(x) = 4*x**4 + 10*x**3 + 8*x**2 + 2. Let d(k) = k**4 + k**3 + 1. Let y = 13 + -9. Suppose -6 = y*q - q. Let j(v) = q*d(v) + m(v). What is t in j(t) = 0? -2, 0 Let a(b) be the third derivative of -b**7/273 - 9*b**6/260 - 3*b**5/26 - 29*b**4/156 - 2*b**3/13 - 2*b**2. Suppose a(n) = 0. Calculate n. -3, -1, -2/5 Solve 0*j - 31*j**3 - 2*j + 35*j**3 - 2*j**5 = 0. -1, 0, 1 Let y(b) be the first derivative of b**3 - 9*b**2/2 + 6. Factor y(m). 3*m*(m - 3) Suppose -5*x - 4*i - 20 = -132, -4*x - 2*i + 86 = 0. Suppose u - x = -u. Suppose 5 + 6*a**2 - u*a + 4*a - 2*a**3 - 3 = 0. What is a? 1 Let c be 343/315 + (-3)/15. Let -16/9*v + 46/9*v**2 + 6*v**3 - c - 6*v**4 - 6*v**5 = 0. Calculate v. -1, -1/3, 2/3 Let j(u) be the first derivative of -6 - 2/45*u**5 + 0*u + 2/27*u**3 - 1/18*u**4 + 1/9*u**2. Suppose j(x) = 0. What is x? -1, 0, 1 Suppose 0 = 8*k - 16. Suppose -4/7*l**k + 2/7 - 2/7*l + 2/7*l**4 + 4/7*l**3 - 2/7*l**5 = 0. What is l? -1, 1 Let u(v) be the third derivative of v**7/105 - v**6/60 - v**5/10 + 5*v**4/12 - 2*v**3/3 - 8*v**2. Factor u(y). 2*(y - 1)**3*(y + 2) Solve 52/3*a**2 - 4*a - 52/3*a**3 + 0 + 4*a**4 = 0 for a. 0, 1/3, 1, 3 Let d(o) be the first derivative of -5*o**3 + 9*o**2 + 5 + 7/8*o**4 - 4*o. Suppose d(f) = 0. What is f? 2/7, 2 Let b be -3*2/6*8. Let z(c) = -11*c**2 - 8*c + 3. Let v(f) = 7*f**2 + 5*f - 2. Let y(l) = b*v(l) - 5*z(l). Factor y(k). -(k - 1)*(k + 1) Suppose -50 = 4*p + p. Let a be (12/(-5))/(3/p). Factor -2*o**2 - a*o**4 - 12*o**3 - o - o - 6*o**2 - 2*o**5. -2*o*(o + 1)**4 Let d(x) = -36*x + 6 + 4*x - 38*x**2 - 26 - 2*x. Let y(m) = -13*m**2 - 11*m - 7. Let t(k) = 3*d(k) - 8*y(k). Factor t(h). -2*(h + 1)*(5*h + 2) Let c be 6/(-33) + 171/33. Suppose c*b + 4 = -4*d, -2*b - 2*b - 32 = -4*d. Factor -8*g**3 - 2*g**3 + 4*g**d - 4*g**2 + 10*g**4. 2*g**2*(g - 1)*(7*g + 2) Let b(l) = l**3 - 5*l**2 + 4*l + 1. Let a be b(3). Let g = -3 - a. Determine c, given that -3 - g*c**2 + c**2 - 2 + c + 7 = 0. -1, 2 Let y = -8 + 8. Suppose 0 = -y*f + f - 2. Find x such that 0*x**4 + 2*x**4 - 3*x**5 - 6*x**4 - 4*x + 4*x**f + 7*x**3 = 0. -2, -1, 0, 2/3, 1 Suppose d = -2*d. Solve -9*b**3 + 6*b**2 + d*b - 3*b + 18*b**3 = 0 for b. -1, 0, 1/3 Solve -4*k**3 - 2*k**4 - 1/4 - 15/4*k**2 - 3/8*k**5 - 13/8*k = 0 for k. -2, -1, -1/3 Let i(q) be the first derivative of -2*q**3/15 + q**2/5 + 10. Factor i(p). -2*p*(p - 1)/5 Suppose -15*o**2 - 236*o - 3*o**3 - 14 + 275*o + 12 - 19 = 0. What is o? -7, 1 Let d(f) be the second derivative of 0*f**4 + 0*f**5 + 1/45*f**6 + f - 4/63*f**7 + 0 + 0*f**2 + 0*f**3. Factor d(l). -2*l**4*(4*l - 1)/3 Let u(t) = 3*t**2 - 8*t + 5. Let g(i) = -i**2 - i - 22. Let a be g(0). Let d(q) = q**2 - 2*q + 1. Let m(l) = a*d(l) + 6*u(l). Let m(w) = 0. Calculate w. -2, 1 Suppose -3*g - 105 = -2*g. Let x be 2/(-6) + (-125)/g. Factor -2/7*u**3 + x*u**2 - 2/7*u**4 + 4/7 + 10/7*u. -2*(u - 2)*(u + 1)**3/7 Let v(p) be the second derivative of -p**6/360 + p**5/60 + p**3/2 - p. Let y(d) be the second derivative of v(d). Determi
{ "pile_set_name": "DM Mathematics" }
ltiple of 14 and d(-15)? 28 Let b(r) = -r**2 + 4*r - 3. Let j be b(5). Calculate the least common multiple of 2/(((-6)/j)/3) and 5. 40 Suppose -x - 15 = -3*w, -2*w + 2 = x - 3. Suppose -2*i - 20 = -w*i. What is the smallest common multiple of i and 1? 10 Let b = -80 - -136. Let i be (-2)/3 - b/(-3). Suppose -i = -2*f - 0*f. Calculate the lowest common multiple of 5 and f. 45 Calculate the least common multiple of 10 and (2 + 1)/(4 - 3). 30 Let f = -15 + 33. Calculate the least common multiple of 10 and f. 90 Suppose 0*n - 4*n + 48 = 0. Calculate the common denominator of 59/(-3)*n/(-64) and -1*(-87)/8 + 1*-2. 16 Let y be -1 + -1 - (0 - 2). Suppose y = 4*m - m - 42. Let r(v) = 2*v + 24. What is the lowest common multiple of r(-8) and m? 56 Let k = -33066 - -4629167/140. Find the common denominator of k and 39. 140 Let f = 28535/3584 + -17/512. Calculate the common denominator of f and 11/2. 14 Suppose -s - 4*s + 4*z = 0, -4*s + 5*z = 9. Suppose 3 = s*l - l. Suppose 2*m = -3*w + 60, 2*m = -w + 19 + l. Calculate the least common multiple of w and 18. 180 Let q = 8 + -8. Let x = q - -3. Suppose 4*f + 0 + 5 = 3*z, 9 = 4*z - x*f. What is the least common multiple of z and 11? 33 Let j = 4793/5 + -962. Calculate the common denominator of 17/58 and j. 290 Let t(l) = 3*l**2 + 3. Let f(a) = 4*a**2 + 4. Let p(r) = -5*f(r) + 7*t(r). What is the least common multiple of p(3) and 16? 80 Let v(q) = 10*q**3 - 1. Suppose 3*m - 15 - 9 = 0. Let z = m + -6. What is the least common multiple of v(1) and z? 18 Let v be 1 + -1 + -5*1. Let w(m) = -m**2 - m + 4. Let z be w(v). Let f = z - -26. Calculate the smallest common multiple of 6 and f. 30 Let z = 558 + -5047/9. Calculate the common denominator of z and ((-21)/(-9))/(1 - -1). 18 Let f = 2661/14 - 190. Let h = 343315183643/1962 - 174982259. Let p = h + -78/109. Find the common denominator of f and p. 126 Suppose 14 = 2*g - 4. What is the lowest common multiple of g and 1? 9 Let z be (26 - 3)/(1/(-2)). Find the common denominator of ((-12)/(-30))/(2/z) and -31/4. 20 Let i = -525 + 2137/4. What is the common denominator of 26/7 and i? 28 Let r be (245/(-20))/((-236)/(-19)). Let b = r + -270/59. What is the common denominator of b and -59/22? 176 Let r = -35/9 + 16/99. Find the common denominator of 76/9 and r. 99 Calculate the common denominator of 11/(-19)*9/(-6) and 1/6. 114 Find the common denominator of 87/10 and ((-105)/25 + 4)/(8/10). 20 Let q(j) = j**2 - j + 1. Let y be q(1). Suppose 4*n + 2 = 2*g, 2*n - y = -2*g + 1. Calculate the smallest common multiple of 10 and g. 10 Calculate the smallest common multiple of 9 and 60/27 + 8/(-36). 18 Suppose -f - 24 = -4*a - 6*f, -10 = 2*a - 3*f. Calculate the least common multiple of a and 7. 7 Let k = 334147/43 + -7770. Let g = -4833/430 - k. Calculate the common denominator of g and 45/4. 20 Let o(d) = -7*d - 7. What is the smallest common multiple of o(-3) and 9? 126 Let s(p) = -p + 4. Let q(u) = u**2 - 5. Suppose -2*k + w + 4 = 5*w, 4*k - w - 17 = 0. What is the smallest common multiple of s(3) and q(k)? 11 Let u = 61/50070 + 1414861/141865. Let j = 257902/85 + -3034. Let y = u - j. What is the common denominator of -55/4 and y? 12 Let l = -45/22 + -95/88. Let n = 14/251 - 12439/2510. Find the common denominator of n and l. 40 Let n = 19 + 1. What is the smallest common multiple of n and 18? 180 Let w = 5 - -7. Suppose -f + 2*f + 5*a = -24, 24 = 4*f - 4*a. Let z(y) = 21*y + 1. What is the lowest common multiple of z(f) and w? 132 Let y(m) = 2 - 5*m + 2 + m**3 + 1 + 5*m**2. Let q be y(-6). What is the common denominator of -41/18 and 15/192*(3 - q)? 144 Suppose 3*d + 12 = 5*d. Calculate the lowest common multiple of 6 and d. 6 Let q(j) = -2*j + 19. What is the smallest common multiple of 8 and q(8)? 24 Find the common denominator of 14/5 and (370/(-3))/5 + 4. 15 Let i = -1631 + 26081/16. Find the common denominator of -99/98 and i. 784 Let u be (-3)/(-6)*8 + -2. Suppose -u*o + 40 = 2*o. What is the lowest common multiple of 2 and o? 10 What is the common denominator of (52/96)/((-1)/(-9)) and -23/13? 104 Let r be (4/(-8))/(1/(-6)). Suppose r*l + 6 = 5*l. What is the lowest common multiple of 1 and l? 3 Let i(b) = -6*b**2 + 5*b - 4. Let g be i(4). Let o = 5276/693 + 10/99. Calculate the common denominator of o and (-10)/25 + 478/g. 56 Let p = -446660793 - -1977813952651/4428. Let m = p + 2/1107. Find the common denominator of m and (-177)/(-60) + -1 + 2. 20 Let z(r) = 10*r. Let i be z(-6). Let m = i - -117/2. Find the common denominator of m and -57/10. 10 Let t be (-2 - 5/(-2))*8. Suppose -51 = -t*g + 29. Calculate the smallest common multiple of g and 4. 20 Let z = -8729/4220 - -25/211. Let b = 9493/12 - 792. Calculate the common denominator of z and b. 60 Let j(k) = -k**3 - 1. Let m(u) = -8*u**3 + u**2 - 5. Let g(a) = 6*j(a) - m(a). What is the smallest common multiple of g(2) and 6? 66 Let o(l) = 3*l**2 + l - 1. Calculate the smallest common multiple of 8 and o(-2). 72 Let f = -3 - -5. Suppose -3*k = -23 - 13. Suppose -2*j = 2*j + k, -2*j = 4*h - 42. What is the least common multiple of f and h? 12 Suppose 4*b = 0, 2*q + b + b = -18. Calculate the common denominator of (-3)/q + 7/(-9) and -16/11. 99 Find the common denominator of (-2)/(((-4)/43)/(-2)) and -93/8. 8 Suppose -3*z + 12 = -9*z. Calculate the common denominator of 61/2 and (260/(-12) + z)*1. 6 Suppose 0 = 4*q - 2*f + 2 - 0, -2*f = 3*q - 16. Suppose -2*u = 2*u + 2*d - 26, 12 = 3*u + 4*d. What is the lowest common multiple of ((-32)/12)/(q/(-3)) and u? 8 Let r be (-1)/(0 + -2)*6. Calculate the common denominator of ((-18)/r)/(56/(-22)) and -37/4. 28 Suppose 3*r - r = 12. Let n = 5 + -1. Calculate the least common multiple of r and n. 12 Let f(q) = q**3 + 4*q**2 - 4*q - 5. Let v be f(-5). Let x be (30854/(-28))/(5/v). Let t = 2209 - x. Find the common denominator of t and 22/7. 7 Find the common denominator of 82/(-21) - 2/3 and 85/4. 28 Let z = 0 - -20. Let t = 36 - z. What is the lowest common multiple of t and ((-3)/2)/(3/(-8))? 16 Let l = 11 + -7. Calculate the least common multiple of 2/(-14) + (-2 - 92/(-7)) and l. 44 Suppose -1 = -2*i - 5*r - 24, 55 = -4*i - r. Let a = 1136 - 2211/2. What is the common denominator of a and 14/(-24)*178/i? 12 Let d = 5979/5 - 1192. Calculate the common denominator of d and 97/14. 70 Let a = 3268/1455 + -93/194. Calculate the common denominator of a and -89/6. 30 Let o be (-2 - -3)*2 - 4. Calculate the common denominator of -1/20 and (-3)/12*(76 - o). 20 Suppose d - 17 = t - 2*t, -3*t = -3. Calculate the smallest common multiple of d and 18. 144 Calculate the smallest common multiple of -8*(-4 - (-9)/6) and 22. 220 Suppose 0 = 6*h - 2*h - 8. Suppose -h*p = 2*p - 72. What is the smallest common multiple of p and 20? 180 What is the smallest common multiple of 4 and (-112)/(-35)*(1 + 4)? 16 Suppose -16 = -2*s + 4*s. Let a = s - -11. Suppose a*t + t = 40. What is the least common multiple of 16 and t? 80 Let n(c) = -c**3 - c**2 + c - 13. Let b be 2/6 + (-2140)/5556. Let s = b - 33559/4630. What is the common denominator of n(0) and s? 10 Let v = -1300461601/315 + 4128439. Let z = v - -8/63. What is the common denominator of 76/3 and z? 15 Suppose -7*p + 9 = -4*p. Suppose -3 = -2*l + p. What is the smallest common multiple of 9 and l? 9 Let z = -87307/11448 - -2/1431. Find the common denominator of -43/6 and z. 24 Find the common denominator of 22 and 1/8*(1 + 121). 4 Let j(f) = -f**2 + 7*f - 4. Calculate the smallest common multiple of 2 and j(6). 2 Let f(y) = -4*y**3 + y**2 + 3*y. Let o(l) = l**3 - l**2 + 1. Let i(q) = -f(q) - 3*o(q). What is the smallest common multiple of i(-2) and 4? 12 Let o(s) = 11*s - 6. Calculate the least common multiple of (-2)/(-6) + 159/9 and o(2). 144 Let y = 13/2867 + -215753/160552. Find the common denominator of -107/20 and y. 280 Suppose -5*g - 25 = 0, -k + 0*g - 30 = -g. What is the common denominator of ((-5)/2)/((-20)/k) and 34? 8 Let x = 15 + -21. What is the common denominator of 41/4 and (-378)/(-44)*(-2)/x? 44 Suppose 0 = l - 0 - 6. Let b(t) = 2*t + 2. What is the smallest common multiple of 13 + (0 - 0) + -1 and b(l)? 84 Let k = -2 + 5. Suppose 0*q - 9 = -k*q. Calculate the least common multiple of 11 and q. 33 Let h be 74
{ "pile_set_name": "DM Mathematics" }
third derivative of -3*r**2*v**3 - 123*r**2*v**2 + 3*r*v**3 - r*v**2 + r*v - 49*v**3 - 65*v**2 wrt v. -18*r**2 + 18*r - 294 What is the second derivative of -1486519*c**2 - 180895*c? -2973038 What is the third derivative of -4481979*d**3*o + 2653*d**2 - 3*d*o + 4*o wrt d? -26891874*o What is the second derivative of 196428*j**4 + 2*j**3 - 3*j**2 + 9247*j - 12? 2357136*j**2 + 12*j - 6 Find the third derivative of -q**5*w**3 - 306551*q**4*w**3 + 513*q**2*w**3 + 20*q**2*w**2 + 8*q**2*w + w**3 + 2*w**2 wrt q. -60*q**2*w**3 - 7357224*q*w**3 What is the second derivative of -72318*q**4 + q**3 + 8165*q wrt q? -867816*q**2 + 6*q Find the first derivative of -266212*f + 88499. -266212 Find the third derivative of -3*a**3*u**3 + 2*a**3*u**2 + 2*a**2 + 56*a*u**3 - 73*u**3 - 3*u**2 + 300 wrt u. -18*a**3 + 336*a - 438 Find the third derivative of 4*d**4 - 1909*d**3*n - 5*d**2*n + 3322*d*n + 2*n wrt d. 96*d - 11454*n Find the second derivative of -l**5 - 352337*l**3 - 114051*l wrt l. -20*l**3 - 2114022*l Find the third derivative of -48*o*s**5 - 13*o*s**3 - 8*o*s**2 + 2*o*s - 2*o + 6*s**4 - 524*s**2 wrt s. -2880*o*s**2 - 78*o + 144*s What is the second derivative of -4*c**3 + 7922*c**2 - 262*c - 24 wrt c? -24*c + 15844 What is the third derivative of 1774725*s**3 - s**2 + 694250? 10648350 What is the second derivative of -9427*d**3 + 62488*d wrt d? -56562*d Differentiate -157348*l**3 - 193000 wrt l. -472044*l**2 What is the third derivative of -131117*b**3*r**3 + 2*b**3*r - b**3 - 10854*b**2*r + 3*b**2 + 4*b*r**3 wrt b? -786702*r**3 + 12*r - 6 What is the third derivative of 88193*b**6 - 69997*b**2? 10583160*b**3 What is the third derivative of -12499*j**2*o**3*y + 2*j**2*o*y**3 + 222*j**2 + j*o**2*y**3 - 2*j*o**2 + 28*j*y**3 - 81*o**3*y**3 + 4*o**2 wrt o? -74994*j**2*y - 486*y**3 Find the third derivative of -27934*y**5 - 20*y**2 + 332*y. -1676040*y**2 What is the derivative of -b**3 - 686154*b**2 - 1056854 wrt b? -3*b**2 - 1372308*b Find the third derivative of -2318742*c**4*q + 2*c**2*q - 418120*c**2 + 2*c*q + 2*q wrt c. -55649808*c*q Find the third derivative of -221*g**6 - 2*g**3*j - 7*g**3*n - 181*g**2*j + g*j - 11*j - 4*n wrt g. -26520*g**3 - 12*j - 42*n Differentiate 15*u*x*z + 4*u*x + 57*u*z + x*z + 640*x - z - 34 wrt u. 15*x*z + 4*x + 57*z Find the second derivative of -108316*f**3*h**5 + 278725*f**3 + 4*f*h**5 + 2*f*h wrt h. -2166320*f**3*h**3 + 80*f*h**3 What is the second derivative of 3344*t**3 - 12207*t? 20064*t Differentiate -85791*a**3 + 116282 wrt a. -257373*a**2 Find the third derivative of 2*h**4 + 623681*h**3 + 1020604*h**2 wrt h. 48*h + 3742086 Find the third derivative of 626873*k**3*l + k**3 - 3*k**2*l - 52*k**2 - 300*k*l + 2*l - 2 wrt k. 3761238*l + 6 What is the first derivative of 114438*c**3 + 199446? 343314*c**2 Find the second derivative of 617*i**5 - 80*i**2*v + 75778*i*v - i - v wrt i. 12340*i**3 - 160*v What is the third derivative of 67014*a**3*g**3 - 3*a**3*g - 2*a**2 + 4*a*g**3 + a*g**2 + a + 1417*g**3 wrt a? 402084*g**3 - 18*g What is the third derivative of -854*j**3*k**3 + 2*j**3*k**2 - 328*j**2*k**3 + 4*j**2*k**2 - 8064*j*k**2 - 2*k**2 - k wrt k? -5124*j**3 - 1968*j**2 Find the second derivative of -5199830*a**5 - a**2 - 294134*a + 4. -103996600*a**3 - 2 Find the third derivative of 67979*l**5 + 166*l**2 + 2*l - 15. 4078740*l**2 Find the second derivative of -14578*j**3 + 30*j**2 + 220932*j. -87468*j + 60 What is the second derivative of -4996*n**3 + 2*n**2 + 94413*n? -29976*n + 4 What is the derivative of -4*d*p**2*v**2 + 4*d*p**2 + 373*d*p - 2982*d + 22*v**2 wrt p? -8*d*p*v**2 + 8*d*p + 373*d What is the first derivative of -1173724*i + 3212919 wrt i? -1173724 What is the second derivative of 225*d**2*k + 155*d**2 - 58606*d*k wrt d? 450*k + 310 Find the second derivative of -442862*u**4 - 4*u**2 + 8*u - 63011. -5314344*u**2 - 8 What is the second derivative of 1710*f**3 - 185*f**2 + 166*f - 407? 10260*f - 370 Differentiate g**2*s*t - 225*g**2 + 372*g*t**2 - 62*s*t - 58*t**2 with respect to g. 2*g*s*t - 450*g + 372*t**2 Find the second derivative of 27*m**2*w**2 + 110*m**2*w + 400*m*w**2 - 86*w**2 - 207*w - 11 wrt w. 54*m**2 + 800*m - 172 What is the third derivative of -12067*d*f**3*o**2 + 10*d*f**2*o**3 - 8*d*f**2 - 10*f**3*o**3 + 32*f*o**2 + 12*o**3 wrt f? -72402*d*o**2 - 60*o**3 Differentiate 5*b**3*d*j + b**3*o**3 - 36*b**3*o**2 - 87*b**2*j*o**3 - 8853*d*j*o**3 + j*o**3 + 2*o**3 with respect to d. 5*b**3*j - 8853*j*o**3 What is the first derivative of 16*g**2*h*i + 620*g**2*h - 63860*g**2 - g*h*i*r - 3*i*r wrt h? 16*g**2*i + 620*g**2 - g*i*r What is the third derivative of 230106*y**5 + 4*y**4 + 133*y**2 + 3804 wrt y? 13806360*y**2 + 96*y What is the third derivative of -2*c**3*z**4 + 1392*c**3*z**2 + 2*c**3*z - 5*c**2 - 2*c*z**2 + 47928*z**4 wrt z? -48*c**3*z + 1150272*z What is the third derivative of 215732*c**3*n + 3*c**2 - 8064*c - 6*n wrt c? 1294392*n What is the second derivative of -18*l*o**2 + 11781*l*o + 7*l - 40802*o**2 - 16*o wrt o? -36*l - 81604 What is the second derivative of -381*f**2*j + 2*f**2 + 2*f*j - 7250*f + 3*j wrt f? -762*j + 4 What is the derivative of -547*o**3 + 244*o**2 - 1263504? -1641*o**2 + 488*o Differentiate -187684*l**4 + 40313 wrt l. -750736*l**3 Differentiate 298978*i*s + i + 701980*s with respect to i. 298978*s + 1 Find the second derivative of -c**4 + 173*c**3 + 38*c**2 - 9540*c wrt c. -12*c**2 + 1038*c + 76 Differentiate 2991*f**3 - 8*f + 48487 with respect to f. 8973*f**2 - 8 Differentiate -2*f**2*n + 3991*f**2 - f - 11*n**2 + 208*n - 4 wrt n. -2*f**2 - 22*n + 208 Find the second derivative of 6*l**2*x**3 + 3190*l**2 + 3064*l*x**3 + 5*x wrt l. 12*x**3 + 6380 What is the first derivative of 815573*k**4 + 2958748 wrt k? 3262292*k**3 Find the third derivative of 17*i**4 + 4582*i**3 + 446808*i**2. 408*i + 27492 Find the third derivative of 1613*a**4 - 23*a**3 - 25313*a**2 wrt a. 38712*a - 138 What is the second derivative of -290*m**5 + 12*m**2 + 38339*m wrt m? -5800*m**3 + 24 What is the third derivative of -217332*d**3*g**3*r**3 - 28*d**2*g**2*r**2 - 13*d**2*g*r**3 + 67*d*g**3*r wrt d? -1303992*g**3*r**3 What is the derivative of 15852*b*s**3 - 4*s**3 - s + 394 wrt b? 15852*s**3 What is the derivative of -33353*n - 47416 wrt n? -33353 What is the second derivative of -247*j**4*w*y**2 + 176*j**3*w*y - 2*j*w*y**2 + 269*j*y**2 + 7*w*y**2 + y**2 wrt j? -2964*j**2*w*y**2 + 1056*j*w*y What is the first derivative of 29314*k + 9114? 29314 Find the third derivative of 21*h**5 + 35618*h**3 - h**2 - 3978*h - 3 wrt h. 1260*h**2 + 213708 Find the second derivative of 2*g**2*s**2 + 6125*g**2*s - 31*g**2 - 50*g*s**2 - 99*s**2 + 2*s wrt s. 4*g**2 - 100*g - 198 What is the third derivative of c**2*q**4 + 3*c**2*q + 3264*c*q**3 - 4*c*q**2 + c - 32*q wrt q? 24*c**2*q + 19584*c Find the third derivative of -530*j**4*s**2 - 130*j**3*s**2 - 24644*j**2*s**2 - s**2 - s wrt j. -12720*j*s**2 - 780*s**2 What is the first derivative of -14*p**4*u*w**2 - 284*p*u*w**2 + 526*u*w**2 - 2*u*w - 2*u + 2 wrt p? -56*p**3*u*w**2 - 284*u*w**2 What is the second derivative of 304829*d*h**2 + 4*d*h - 2*d + 1694*h wrt h? 609658*d Find the third derivative of -7*b**3*z**3 - 5*b**3*z**2 + 2*b**2*z**3 - 6*b**2*z**2 + 47*b**2*z + 692*z**3 + z wrt z. -42*b**3 + 12*b**2 + 4152 Differentiate f*l**2*z + 3203*f*l**2 + f + 2*l*z + 4*z - 5453 wrt l. 2*f*l*z + 6406*f*l + 2*z What is the third derivative of -73352*s**3 - 9*s**2 - s + 2425? -440112 Find the second derivative of 194960*a**5 + 12575*a - 1. 3899200*a**3 Find the second derivative of -262952*l**2 - 458586*l. -525904 Differentiate -39285*o**2*p**2 - 2*o**2*p + 4*o**2 - 2482 wrt p. -78570*o**2*p - 2*o**2 What is the derivative of 17*m**3 + 147*m**2 - m - 32937 wrt m? 51*m**2 + 294*m - 1 What is the derivative of 40*f*y**3 - f*y**2 - 2*f*y + 16657*f - 4*y**3 + 32722*y**2 - 1 wrt f? 40*y**3 - y**2 - 2*y + 16657 What is the second derivative of -624924*s**4 + 594361*s wrt s? -7499088*s**2 Find the second derivative of 10*i**3 - 6125*i**2 - 15988*i. 60*i - 12250 What is the first derivative of 3*c**3*u + 817*c**3 - 2*c**2*u - 35665*u wrt c? 9*c**2*u + 2451*c**2 - 4*c*u Find the third derivative of 153070*p**3 - 2328*p**2 - p - 7. 918420 Differentiate -3*n**2 - 832284
{ "pile_set_name": "DM Mathematics" }
*n - 143 + 7 = 0. Is 12 a factor of n? False Let t(r) be the second derivative of r**5/30 - 11*r**4/24 + 3*r**3/2 - r**2 + r. Let v(h) be the first derivative of t(h). Is v(7) a multiple of 12? False Suppose 2*x + 0*x - 2 = 0. Suppose x - 13 = 3*j. Is 35 + j*2/(-4) a multiple of 11? False Let v(h) = 20*h. Let p be v(1). Suppose 0*a + 76 = 2*a. Let x = a - p. Is x a multiple of 17? False Suppose 2*i - i - 4*s - 17 = 0, -2*s - 4 = 4*i. Suppose -3*t + 5*t = p + i, -4*t + p = -7. Suppose -t = -k - 1. Is k a multiple of 2? True Let l = 4 - 3. Let c be 2 + 0 - (-62 - l). Let f = -38 + c. Is f a multiple of 21? False Does 45 divide (12/8 - -3)*20/2? True Let f(g) = -3*g**2 + g + 1. Let t be f(2). Let b = t + 4. Let k(j) = -j**2 - 6*j - 1. Is k(b) a multiple of 4? True Let g = 0 - -5. Let s(o) = -9*o**3 + 17*o**2 - 13*o + 4. Let a(k) = 5*k**3 - 9*k**2 + 7*k - 2. Let d(y) = -7*a(y) - 4*s(y). Is 11 a factor of d(g)? False Let d = 16 - 30. Is 2 a factor of (-21)/d*(1 + 1)? False Suppose y = 8 + 1. Does 4 divide y/6*2 + 9? True Let b(s) = -s + 4. Does 13 divide b(-9)? True Suppose 5*j - 3*j - 60 = 0. Let v(h) = h**3 - 4*h**2 - h - 4. Let p be v(4). Let r = p + j. Does 11 divide r? True Let i(g) = -2*g + g**2 + 0*g + 3 + 0*g - 5. Let f(s) = -s**3 - 4*s**2 + 3. Let v be f(-3). Is i(v) a multiple of 23? True Suppose 6*l - 3*l = -4*a + 24, 23 = 5*a + 2*l. Suppose a*b - 6 = -0*b. Is (24/b)/(3/2) a multiple of 3? False Suppose 10 = -2*d + 20. Suppose w - 40 = d*f, -2*w - 20 = -3*w - 5*f. Does 11 divide w? False Suppose -3*x - 3 = -4*x. Let d(u) = 2*u + 4. Is d(x) a multiple of 6? False Let d = -18 + 25. Suppose 0 = -2*a + 35 + d. Does 6 divide a? False Let q(d) = -d**3 + 12*d**2 - 10*d - 11. Let c be q(11). Suppose c = -5*w + 5*o + 180, -5*o - 111 + 9 = -3*w. Does 23 divide w? False Is -1 + 46 + 13 + -16 a multiple of 14? True Suppose -5 = -r + 55. Is 12 a factor of r? True Let j(k) = 2*k + 3*k + 2 - 5 + k**2 - k**3. Let s be j(-4). Suppose -5*d = -s - 128. Does 18 divide d? False Let i = 9 + -5. Suppose -n = -2*v - 1 + 13, -i*v + 20 = -n. Does 11 divide 9/v*(-16)/(-3)? False Let q be 1 + 0/(-3) - 2. Let d be ((-10)/4 - q)*-4. Suppose 3*j + 12 = d*j. Does 2 divide j? True Let s(t) be the third derivative of t**4/24 + t**3/6 + t**2. Does 3 divide s(5)? True Let q be 260/22 - 4/(-22). Suppose -2*u - 2 = -q. Is 5 a factor of u? True Suppose 2*z = -0*z - 4*b + 4, z - b = 2. Let y(i) = -i + 4. Let n be y(2). Suppose n*a = -s, z*a = -2*s - 0 + 4. Is 4 a factor of s? True Suppose 208 = 5*d - 407. Does 8 divide d? False Suppose 0*x = 2*x - 4. Suppose 19 - 3 = -4*v + b, b = -x*v - 8. Let i(f) = -2*f**3 - 6*f**2 - f + 5. Does 11 divide i(v)? False Let c(i) = i**2 - 4*i - 6. Is c(-9) a multiple of 29? False Let d be (-2 - -2)/1 + 39. Suppose -g = -123 + d. Is 28 a factor of g? True Let n(l) = -l**3 + l**2 - l - 1. Let w be n(-1). Suppose -2*a - 14 = -4*t, t - 14 = -2*t - w*a. Let s(b) = b**3 - 3*b**2 - 2*b + 3. Is 9 a factor of s(t)? False Suppose 0 = -l + 39 + 20. Is 4 a factor of l? False Let h = 12 + -7. Suppose 0 = -h*k + 3*k + 2*b + 32, -3*b = 5*k - 64. Is k a multiple of 7? True Suppose -5*w = -5*b - 2*w + 69, 0 = 5*b - 2*w - 71. Suppose 0 = 4*m + m + b. Does 6 divide 12/(-3)*m + -2? False Let y = 17 - 7. Let v = -6 + y. Suppose -16 = -v*c + 12. Does 7 divide c? True Let z(m) = -m**2 + 9*m - 2. Let f be z(9). Let d = f + 4. Suppose -2*c + c - 58 = -4*g, -26 = -2*g + d*c. Does 15 divide g? True Let t = 57 - 35. Is 11 a factor of t? True Suppose 2 = -2*k + 4*z + 10, k = -5*z - 24. Is 14 a factor of (k + 6)*(8 + -1)? True Let w(z) = z**2 - 11*z - 6. Let i be w(12). Suppose 2*g = -4*d - i, -5*g + 5*d = -2*g - 24. Does 3 divide g? True Suppose 3*k + k + 40 = 0. Let y = -2 - k. Does 8 divide y? True Let a = 5 + -5. Let s = -1 - a. Let k(f) = 13*f**2 + f + 1. Is 10 a factor of k(s)? False Let i = 50 - -7. Suppose p - 2*u - 48 = 0, -2*p + i = -p - 5*u. Is p a multiple of 21? True Let m(c) = c**3 + 5*c**2 + 3*c. Let q be m(-4). Suppose 5 = 3*l - q. Suppose l*b = -b + 64. Is b a multiple of 8? True Let u(a) = -a**2 + 2*a + 3. Let l be u(3). Suppose 2*x + x - 12 = l. Does 6 divide 8/6*18/x? True Let g(o) = -o**2 + 28*o + 56. Does 17 divide g(14)? False Suppose 4*k - 99 = k. Let z = k - 17. Is 8 a factor of z? True Suppose -63 = -4*r + r. Let m = r + -15. Suppose -d = -m*d + k + 75, 5*d = -2*k + 60. Is 12 a factor of d? False Suppose v - 12 = -v. Let h = v + 14. Suppose f - 28 = r, 2*f - 3*f - 3*r + h = 0. Is f a multiple of 17? False Suppose 2*d + 76 = 3*k + 262, -5*d - 2*k = -446. Does 9 divide d? True Let k = -1 + -6. Let r(b) = b**2 - 6*b + 2. Let v(w) = w**2 + w - 1. Let c(z) = r(z) - 2*v(z). Does 8 divide c(k)? False Suppose w - 2*w = -37. Does 3 divide w? False Let l = -134 + 204. Suppose 3*c - 5*c = l. Let o = -13 - c. Is 10 a factor of o? False Suppose -b + 0*b + x - 8 = 0, -10 = 5*x. Does 4 divide (-205)/(-25) + 2/b? True Let k = -10 - -40. Let j = 78 - k. Is 24 a factor of j? True Suppose 2*t = 5*t. Suppose -r + 0*r = t. Suppose -40 = -3*m - r*m + v, 0 = 3*m - 4*v - 52. Does 10 divide m? False Let l(n) = n**3 + 9*n**2 + n + 11. Let j be l(-9). Suppose -j*m + 43 = 3*v, 4*v = -4*m + 20 + 32. Is v a multiple of 3? False Suppose 3 + 30 = k. Is k a multiple of 22? False Suppose -3*f + q = -3 + 1, 0 = -2*f + 2*q - 4. Suppose 0 = 5*t - f*t - 69. Does 7 divide t? False Let h(o) = o**3 - 3*o**2 + 2*o - 3. Let a be h(2). Is 3 a factor of (9 - 1) + 3 + a? False Let l = -5 - -9. Suppose 0 = -l*a + 313 - 121. Is 14 a factor of a? False Let o(z) be the first derivative of 3*z**2/2 - z + 2. Let t be o(4). Let u = t - 7. Does 2 divide u? True Let x(h) be the second derivative of -h**5/20 + h**4/3 - h**3/6 + 5*h**2/2 + 2*h. Let w be x(5). Is -2 - (-1 - w/(-1)) a multiple of 8? True Suppose 5*j = j + 24. Does 2 divide (-9)/j*(-12)/9? True Suppose 2*k = -2*k + 48. Let b be -4*(-2 - (-15)/k). Is 3 a factor of (b - -1) + 1 + -1? False Let d = -11 - -15. Suppose 4*n + q - 42 = 6*q, d*q - 21 = -n. Let g = 3 + n. Is 12 a factor of g? False Let b be -5 + -4 + (-6)/(-2). Is (-3)/((b/(-106))/(-1)) a multiple of 14? False Let i = 10 - 7. Suppose b - c = 9, -i*b - 13 = c - 44. Does 5 divide b? True Suppose -5*y + 284 = 54. Is 23 a factor of y? True Let f(y) = -y + 47. Let u(t) = -t**2 + 3*t + 2. Let j be u(3). Suppose 0*g = -j*g. Is f(g) a multiple of 19? False Let q be (6/(-4))/((-3)/36). Does 9 divide q*(-4)/12*-3? True Suppose 0 = 2*c - 8 - 8. Suppose -2 = -n + c. Is 8 a factor of n? False Is 12/(-20) + 789/15 a multiple of 13? True Let v = -2 - -2. Suppose v = o + o - 10. Suppose -a = 2*u - u - 9, -4*a - o*u + 40 = 0. Is a a multiple of 5? True Let g be (-1)/((-2)/10 - 0). Suppose 3*o = g*p + 296, 6*o - 530 = o + p. Suppose 3*w - k - o = -w, 4*k = -w + 48. Is 14 a factor of w? True Suppose 4*r - 60 = -2*w, 0*r = -w + 4*r. Is 20 a factor of w? True Suppose 5*f = 13 - 3. Suppose f*q = 11 + 21. Is 4 a factor of q? True Suppose 3*p - 164 = -2*p - 4*j, 4*j = -4*p + 128. Let q = p + -12. Let w = 0 + q. Is 7 a factor of w? False Suppose 6 = 4*x - 3*c, 5*x - c - 2 = 3*x. Suppose x = 2*d - 7*d + 200. Suppose -6*r = -r - d. Does 4 divide r? True Let n(h) = h**3 + 1. Let t(k) = -4*k**3 + 5*k**2 - 5*k - 2. Let r(i) = 5*n(i) + t(i). Is r(-5) a multiple of 14? True Suppose -39 = -4*y - 7. Suppose -b = -y - 2. Is 10 a factor of b? True Let a(x) = 6*x - 3. Let w be a(7). Suppose -4*b + w = -g - 12, 4*g + 48 = 3*b. Is b a multiple of 8? False Let b(y) = 12*y - 2. Let k(p) = -p + 4. Let v(q) = -q**3 - 2*q**2 + 3*q + 2. Let z be v(-3). Let w be k(z). Does 14 divide b(w)? False Is (0 - 3)*(7 + (-47)/3) a multiple of 13? True Let q be (-2)/(-9) + (-530)/(-45). Is 18*9/q*2 a multiple of 18? False Let i(y) = 2*y**3 - 5*y**2 + 7*y - 16. Is i(5) a multiple of 16? True Let x(i) = i**2 - 2*i - 8. Let f(k) = -k**2 - 4*k - 1. Let u be f(-5). Is x(u) a multiple of 12? False Suppose -4*a + 126 = -102. Is 19 a factor of a? True Let c = 5 + -9. Let y = c - -35. Is 14 a factor of y? False Let y(t) = 2*t**3 + 2*t**2 - t + 2. Is y(2) a multiple of 12? True Suppose 5*i - 13*i = -648. Does 14 divide i? False Let a(j) be the second derivative of -j**3/2 + 3*j**2 + 4*j. Let y be a(10). Is y/(-2) - (-1 + 4) a multiple of 9? Tr
{ "pile_set_name": "DM Mathematics" }
(u) a composite number? True Let n(m) = -34*m**3 + 8*m**2 + 34*m - 31. Is n(-9) prime? True Let s(o) = -3589*o + 113. Is s(-6) a prime number? True Suppose 2*h + 102 = 2*i + 3*i, 4*i + 204 = -4*h. Is (-2)/(-17) - (1240680/h)/8 composite? False Suppose -2*g + g = -2, 4*g = 3*v + 8. Suppose 4*h = 2*s + 3*h - 9, 2*s - 2*h - 12 = v. Suppose -s*d = d - 84. Is d a composite number? True Let i(h) = 39*h - 84. Let l(s) = -13*s + 28. Let r(q) = -3*i(q) - 8*l(q). Is r(-10) a composite number? True Let y(x) = -51*x**2 + 6*x + 9. Let m be y(4). Let d = m - -2182. Is d prime? True Let x(a) = -a**3 - a**2 + 2*a + 3. Let n be x(-2). Suppose n*w = -6 - 18. Let g(p) = -p**3 - 6*p**2 + 13*p + 9. Is g(w) prime? False Suppose 0 = 73*o - 1790833 - 176298. Is o a prime number? True Let k(x) = -21*x + 7. Let q(c) = -41*c + 15. Let s(m) = 5*k(m) - 2*q(m). Is s(-4) a prime number? True Suppose -21 + 25 = 4*n. Suppose -h = -n - 1. Suppose -3*t + h*a + 99 = 0, 3*t = -2*t + a + 158. Is t a prime number? True Is (-1050860)/(-52) + 6*(-2)/(-78) a composite number? True Suppose -5*x - 8 = -x. Let a = x - -91. Is a composite? False Let p = 1886 - 1299. Is p composite? False Suppose -6*z + 4*z = -r + 931, 0 = -2*r + 2*z + 1856. Suppose t = 2*m - r - 661, -3*t + 2397 = 3*m. Suppose -5*q + 0*q + m = 0. Is q a composite number? True Let x(u) = 3*u + 12. Let f be x(-4). Suppose f*d = -3*d + 2451. Is d a prime number? False Let y = 319 - -48. Let r = y + -20. Is r a prime number? True Suppose 2 - 32 = 5*f. Let m = f + 6. Suppose -t + 72 = -m*t + 2*i, -3*i + 367 = 5*t. Is t prime? False Suppose -6972 = -13*j + j. Is j prime? False Let l = -18 + 22. Suppose -h + 4*o - 8457 = -6*h, 4*h - l*o - 6780 = 0. Is h prime? True Let f = -5120 + 10107. Is f a prime number? True Is ((-20)/60)/(4/(-605508)) a prime number? True Suppose 2*d - 7406 = 7088. Is d composite? False Let r = 6 + -14. Let f be (r/20)/((-2)/20). Is (f/4 + -104)*-1 prime? True Let m(c) = -2*c**2 + 3*c + 29. Let a be m(24). Let d = a - -2006. Is d a composite number? True Let c(m) = m**2 + 6*m - 14. Let s be c(-8). Suppose -s*h + 65 = 3*z - 6*z, -5*z = -2*h + 59. Is h a composite number? False Let s be 18/15*(-10)/(-3). Suppose -3*o - s*t - 18680 = -7*o, t - 23356 = -5*o. Suppose o = 4*u - 5*w, 2*u - 544 = -w + 1795. Is u a composite number? True Let p be (4 - (4 + -2)) + 0. Suppose -4*g + 25 = g, 4*w = -p*g + 30. Let k(s) = 13*s**2 + s + 7. Is k(w) prime? True Let a = -1309 + 1868. Suppose -4*k - 3 = -a. Is k a composite number? False Let p = 43 + 124. Let x be (-4)/22 - 801/11. Let d = p + x. Is d a composite number? True Let c = -15445 - -25286. Is c prime? False Let i = -66030 - -129061. Is i composite? False Let r(y) be the second derivative of y**5/20 + 5*y**4/12 + y**3/6 - 7*y**2/2 - 11*y. Let k be r(-3). Suppose k*z - 1353 = 5*z. Is z prime? False Suppose 3*y = 4*y. Let l be 4 + (553 - y/3). Let i = l + -78. Is i composite? False Let p = 28 + -19. Suppose p*n - 1080 = 4*n. Suppose -2*c = -290 - n. Is c prime? False Let k(v) = 112*v - 116*v + 0 + 14*v**2 + 3. Is k(2) a composite number? True Suppose 5*i = f + 263, 3*f + 858 - 80 = 4*i. Let h(d) = 2*d**2 + d + 22. Let b be h(19). Let x = b + f. Is x a prime number? False Let o = -6 - -10. Suppose -368 = -2*b + q + 3*q, o*b - 2*q - 760 = 0. Let h = b - 101. Is h a prime number? False Suppose -5*k = -10, w - 2*w + 2904 = 3*k. Suppose 7*r + 4221 = -w. Let z = -386 - r. Is z composite? False Suppose 22 = -4*j + 4*l + 94, -3*l = 5*j - 66. Let t = j - 10. Suppose -38 = -t*i + 427. Is i a composite number? True Let d(l) = -l**3 + 7*l**2 + l - 7. Let a be d(7). Suppose 0*x - 2249 = -4*b - x, a = -5*x - 15. Is b a composite number? False Is (13/(-39))/(2/(-62202)) composite? True Let f(m) = -3*m**3 + 3*m**2 + 23*m + 122. Is f(-7) composite? True Let s(v) = 18*v**2 - 8*v + 5. Let m = 3 - -2. Is s(m) prime? False Let g(x) = 89*x**2 + 13*x - 7. Is g(-5) a composite number? False Suppose 3*b - 4 + 10 = 0. Suppose 4 + 8 = 2*t. Is 1162/21 + b/t a prime number? False Let k = 5 + -4. Let w = -2 - k. Is 7/(7/w) - -1160 a prime number? False Let w(a) = -1616*a - 15. Is w(-2) composite? False Suppose 235 = 2*l - 3*x, 0 = 2*x - 7*x + 5. Suppose 0 = -5*a + 306 + l. Is a a prime number? False Let a(w) = 55*w + 3. Let l be a(-4). Let h = l - -306. Is h a composite number? False Let l = 150 + 101. Is l a composite number? False Let l = -370 + 234. Let g = 27 - l. Is g composite? False Let y(f) = f**3 + 5*f**2 - 9*f - 1. Let a be y(10). Suppose 2*m - 3*i - a = 0, 4*m + 3*i - 2*i = 2811. Is m prime? False Suppose -4*h + 3*r - 8 = h, -12 = 5*h - 2*r. Is (h/2 + 1)/((-2)/298) composite? False Let h(q) = q**2 - q + 4. Let b be h(4). Let j be (5/(20/(-52)))/1. Let g = b + j. Is g a composite number? False Suppose 162 = 5*o - 3. Suppose -o*x + 12145 = -28*x. Is x prime? False Let w(n) = 7*n**2 - 2*n + 7. Let c = 27 - -5. Suppose 8*q + c = -3*f + 3*q, -8 = 5*f - 3*q. Is w(f) a composite number? False Suppose 12*x + 54523 = 19*x. Is x prime? True Suppose 6*a - 2*a = 3*y - 3793, 5*y = a + 6299. Is y prime? True Let x(j) = -2*j**2 - 15*j + 8. Let n be x(-9). Let w = 96 + n. Is w a prime number? False Let x be (-180)/42 + 8/28. Is (x - 261/6*-6)*1 prime? True Let q(s) be the second derivative of s**5/20 - 11*s**4/12 + 5*s**3/3 - 5*s. Let x be q(10). Suppose i + i - 374 = x. Is i prime? False Let h(f) = f**2 + 5*f - 3. Let i be h(-6). Let v(j) = -6*j + i*j + 2*j + 0*j + 37. Is v(0) a prime number? True Suppose -2*n = 4*i + 64, i + 0 + 11 = 2*n. Let u be (-1)/(1 - i/(-12)). Suppose u*t = 1415 + 381. Is t a prime number? True Is ((-3386)/6)/(48/(-144)) a prime number? True Let j = -6 - -26. Let f be 1/(j/6 - 3). Suppose -f*w + 1095 = -s, -4*w - 5*s = -w - 1095. Is w a composite number? True Let z = -222 - -3149. Is z a composite number? False Let h(f) = 3*f**2 + 6*f - 4. Let t be h(10). Suppose 2*o + 90 - t = 0. Is o prime? False Suppose 4*j = 6*j - 4. Let y(s) = -31*s + 3 + 1 - j. Is y(-5) a composite number? False Let s = -77 - -24. Suppose 2*f - w - 289 = 2*w, 0 = -2*f - 2*w + 274. Let a = s + f. Is a composite? True Is (-2 + -12)/(2/(-541)) prime? False Suppose -2*a + 11101 = -5*s + 57006, 3*s - 3*a - 27534 = 0. Is s a prime number? False Let h = 1106 + -405. Is h composite? False Let k(t) = 5*t**2 + 12*t + 9. Let n(x) = 2*x - 11. Let h be n(8). Suppose -4*s - 41 = -2*s + h*j, 3*s + 3*j + 39 = 0. Is k(s) prime? True Let k = 5 + -3. Let u(x) = 1 - 1 - 1 + k - 44*x. Is u(-2) a prime number? True Let m be (4/7)/(2/14). Suppose 8 = 3*o - 2*g - 9, -16 = -m*o + g. Suppose o*j = 6 + 555. Is j a prime number? False Suppose -17 = -5*l - 4*s, 0*s + 4 = -2*l + 2*s. Suppose 0 = 4*v - l - 7. Suppose v = -2*a + 16. Is a prime? True Let j(l) = 4*l - 3*l - 4*l + l - 6. Let u be j(-7). Suppose -5*v + u*v - 207 = 0. Is v a prime number? False Suppose 0 = -3*w + 5*v + 18, -3*w - 5*v + 26 + 22 = 0. Suppose 5*a - w = p, 0*a = -2*a + 3*p + 7. Suppose 1 + 109 = a*d. Is d prime? False Let y(z) be the first derivative of 22*z**3/3 + z**2 + z + 14. Is y(-5) a prime number? True Is ((-2)/3)/(38/(-1078383)) prime? True Let g = -24 - -24. Suppose g = 3*r - 30. Is r prime? False Suppose 3*m = -d + 2*m + 201, -4*m - 206 = -d. Suppose -b + 0*u = 4*u - d, 590 = 3*b - 4*u. Suppose -135 = -3*k + b. Is k composite? True Let v(y) = y**2 - 30*y - 31. Let u be v(35). Let f = 313 - 153. Suppose -3*s = 5*n - u, 3*s + n = -4 + f. Is s a prime number? True Suppose -u - 1195 = 2760. Let t be (-2)/4 - u/10. Suppose 9*d - t = 4*d. Is d a prime number? True Suppose w + 4*w - 2*r = 27, 5*w - r = 26. Let s(v) = 0*v**2 - w*v**2 + 34 + 6*v**2 - 15. Is s(0) a prime number? True Suppose 6 = -10*u + 36. Suppose 1004 = w + u*w. Is w a composite number? False Let c(a) be the second derivative of -a**7/840 - a**6/72 + a**5/10 + a**4/24 - 2*a**3/3 - 3*a. Let r(n) be the second derivative of c(n). Is r(-9) prime? False Suppose -3*l = p + 8, 4*p - 17 = l + 3. Suppose 2*z - 341 = -p*v + 1327, 2*z = v - 427. Is v a composite number? False Suppose -q - 4 = -3*q. Suppose -986 = -2*k - 4*l, 9 = q*l + 1. Is k a composite number? True Let q = 2 - -14. Suppose -16181 = -q*o + 5*o. Is o a composite number? False Is 11411 - (10/(-20))/((-3)/36) a prime number? False L
{ "pile_set_name": "DM Mathematics" }
7304 = 4175*m for m. 83 Solve 681334*l = 681356*l + 902 for l. -41 Solve 18*g - 985 = -202*g + 2129 + 4366 for g. 34 Solve -14426 + 84288 + 80780 = -1433*b + 25971 for b. -87 Solve -9936*n + 569740 = -165524 for n. 74 Solve 43745*q = 43712*q for q. 0 Solve -9736 - 5554 = 605*d - 3083 + 6548 for d. -31 Solve -436*i - 13536 = 33745 - 7169 for i. -92 Solve -9282 - 2516 = -211*m - 3677 + 8548 for m. 79 Solve 3909*x + 84590 = -165586 for x. -64 Solve 146604 - 141792 = 1203*d for d. 4 Solve 300 = -23578*g + 23518*g for g. -5 Solve -4*r + 1956 = -15*r - 50*r - 423 for r. -39 Solve -529*v - 572*v + 1665*v + 3060 = 528*v for v. -85 Solve -10*h - 3*h - 36587 = 24*h - 39140 for h. 69 Solve -817*h + 64821 = 1711*h - 134891 for h. 79 Solve -11*a - 2486 = -1529 for a. -87 Solve -8*c + 28 = 71*c - 288 for c. 4 Solve 0 = -1207617*k + 1207637*k + 893 + 67 for k. -48 Solve -16704 = 113*r + 65*r + 54*r for r. -72 Solve 0 = -30219*m + 30202*m + 791 - 264 for m. 31 Solve -815*l + 53400 = -2150*l for l. -40 Solve 8785*u + 52335 = 146*u + 95716 + 241706 for u. 33 Solve 0 = 6536*v - 162436 + 5212 - 129297 + 5473 for v. 43 Solve 139*t + 6065 + 8213 = -32*t + 53*t for t. -121 Solve -434*h = 1883*h + 50974 for h. -22 Solve 118*z + 66*z = -113*z + 68*z - 22442 for z. -98 Solve -1825 + 12265 = -318*o + 2198 - 10838 for o. -60 Solve 538*j - 117*j = -1213*j - 47386 for j. -29 Solve 1106*u - 37393 = 11010 - 7481 for u. 37 Solve 525768 = 5711*w - 19142*w + 55683 for w. -35 Solve 920*k + 7622 + 125778 = 0 for k. -145 Solve -85*m + 33*m + 250*m - 11716 = -4*m for m. 58 Solve 7*y = 23*y + 32*y + 294 + 90 for y. -8 Solve 170*g + 134*g = 216*g + 3256 for g. 37 Solve -15871 = -4981*t - 201519 - 42487 - 100611 for t. -66 Solve 526*k = 152*k + 77*k + 173*k - 15004 for k. -121 Solve 247*i - 74*i - 3836 - 6168 = 51*i for i. 82 Solve -7290 = -364*w + 5450 for w. 35 Solve 109*d + 126*d - 311*d - 4410 = -139*d for d. 70 Solve 384*z - 212*z + 1102*z - 92006 + 32128 = 0 for z. 47 Solve 58*d - 339*d + 5022 = 277*d for d. 9 Solve 15721 = -183*s + 20113 for s. 24 Solve 1807*w = 2174*w - 9175 for w. 25 Solve -1202*i + 10617 = -2175 - 430 for i. 11 Solve 549*y = 552*y + 69 for y. -23 Solve -13036 = -163*r - 136*r - 2571 for r. 35 Solve -136*m + m = 11*m + 1022 for m. -7 Solve -3823867 = 151*v - 3824924 for v. 7 Solve 6028 = 99939*k - 100015*k + 24 for k. -79 Solve 4680*p + 36345 = -2358*p - 83301 for p. -17 Solve -2023*m + 2618*m - 7325 = 45035 for m. 88 Solve 2706*f + 5898 = -1962*f - 68790 for f. -16 Solve 25700 = 1159*q + 5997 for q. 17 Solve 1571*q = 6813*q + 52278 + 307196 + 96580 for q. -87 Solve 0 = 30170*i - 30120*i - 50 for i. 1 Solve -3918*d - 2722*d - 358560 = 0 for d. -54 Solve -136*p - 28282 + 7602 = -653*p for p. 40 Solve 3543*x = 3676*x + 8778 for x. -66 Solve -489*j - 93724 = -33577 for j. -123 Solve -3663*t - 11802*t = -185580 for t. 12 Solve -934*u = 892*u - 1771*u - 1705 for u. 31 Solve 18*b - 50*b - 639 = 143*b + 38*b for b. -3 Solve 882 = 45991*a - 45109*a for a. 1 Solve -121*f + 7209 = 1643 for f. 46 Solve -840 = 58*w - 16*w - 14*w for w. -30 Solve 2611*v = 4747*v + 98256 for v. -46 Solve 285*b + 1537868 - 1544423 = 0 for b. 23 Solve -46530 = -477*s + 289*s - 846*s for s. 45 Solve -90149*i - 41612 = -89737*i for i. -101 Solve -656*w - 2808*w - 319*w - 56745 = 0 for w. -15 Solve 0 = -627*i - 2656618 + 2561314 for i. -152 Solve 61*c + 712 = 103 - 1465 for c. -34 Solve 0 = -183*p - 6287 + 1529 for p. -26 Solve -186*q - 73340 = -80408 for q. 38 Solve 3400*u + 12006 = 3574*u for u. 69 Solve 334277 + 111332 - 103210 = 713*f + 5294*f for f. 57 Solve 3919 = -219*x - 4622 for x. -39 Solve -570*x - 25615 = 57035 for x. -145 Solve 54*p - 117 = -51*p + 2088 for p. 21 Solve 33*a + 1533 = 48 for a. -45 Solve -411*o - 5329 = 2736 + 1674 - 1519 for o. -20 Solve -3979*d + 93917 = -204567 + 35870 for d. 66 Solve 19040 = 1639*x - 279*x for x. 14 Solve 87*s - 2328 = 134*s + 50*s for s. -24 Solve -103449*d + 1093 = -103342*d - 298 for d. 13 Solve 98806 - 23914 = 948*y for y. 79 Solve 16293 + 13380 = -592*j - 507*j for j. -27 Solve -1759 = -3334*u + 20685 + 50904 for u. 22 Solve 355*c - 48253 = -85528 for c. -105 Solve -937*n = 815*n - 94608 for n. 54 Solve 125189*u = 125294*u - 5355 for u. 51 Solve -9165 + 2815 + 20738 = -1300*x - 48012 for x. -48 Solve 24417*p + 378439 = 1443493 + 985974 for p. 84 Solve -37*k - 51*k = -40*k + 27*k + 2925 for k. -39 Solve -470*h - 35*h - 92*h - 71392 = 139*h for h. -97 Solve 0 = 546*h + 17829 - 12369 for h. -10 Solve -40*v - 203*v + 4142 = -7036 for v. 46 Solve -6223*c - 66865 + 117424 = -136131 for c. 30 Solve 842419*c = 842401*c + 1980 for c. 110 Solve -174*w = 90*w - 172*w + 11408 for w. -124 Solve 81*s - 2952 - 693 = 0 for s. 45 Solve 0 = 98*f + 2243 + 599 for f. -29 Solve -40*r + 3220 = 4540 for r. -33 Solve 380*f + 438 + 62 + 65 = -195 for f. -2 Solve 17130*y - 17090*y = 760 for y. 19 Solve 1064*v - 259 + 1051 = 272*v for v. -1 Solve 3309 = -389*x - 7583 for x. -28 Solve 0 = 44*h + 53*h - 106*h + 114 + 264 for h. 42 Solve -1357278*l = -1357670*l + 6272 for l. 16 Solve -4559*h = 80*h - 2087 - 39664 for h. 9 Solve -355783 = 7708*j - 95992 + 79361 for j. -44 Solve -2675*f + 5356*f - 2706*f - 25 = 0 for f. -1 Solve 31619*m = 31849*m + 5980 for m. -26 Solve -2921*s - 1195*s - 118608 = -1605*s + 1725*s for s. -28 Solve 0 = -707*b + 54280 + 7936 for b. 88 Solve 33*j + 1390 + 4748 = -99*j - 198 for j. -48 Solve 9541*i + 948 = 9553*i for i. 79 Solve -203*h + 305 = -236 + 135 for h. 2 Solve -6089 = 50*v + 70*v + 3579 - 188 for v. -79 Solve 7370*d - 7255*d + 13053 = -1782 for d. -129 Solve -22946 = 300*i - 29246 for i. 21 Solve 0 = -208*n - 3240 - 3416 for n. -32 Solve 7*d - 647 = -1270 for d. -89 Solve 564 = 28914*y - 28726*y for y. 3 Solve 1338*h + 22907 = -21760 - 12867 for h. -43 Solve -20913*x + 20250*x - 30498 = 0 for x. -46 Solve -169*d - 4864 = -92*d + 75*d for d. -32 Solve 164*g + 4226283 = 4207095 for g. -117 Solve 46*s - 194388 = -189880 for s. 98 Solve 34292*t + 138432 = 32644*t for t. -84 Solve -4895*c = -3489*c + 26714 for c. -19 Solve -18456*j - 64195 - 249557 = 0 for j. -17 Solve -4545*x - 48 = -4544*x - 8 + 16 for x. -56 Solve -9478 = 848*l + 251 + 14628 + 12955 for l. -44 Solve -2342191*q = -2342175*q + 96 for q. -6 Solve 183*r + 70*r = -26*r + 28*r - 4518 for r. -18 Solve -579*b = -6*b - 4590 - 3823 - 2474 for b. 19 Solve -1480 + 1925 = -284*a + 1484 + 1801 for a. 10 Solve 792*d + 137776 = 7*d - 351*d - 128*d for d. -109 Solve 63513 = 84*c + 60237 for c. 39 Solve 518*z + 401*z = 1555*z - 506*z - 7280 for z. 56 Solve -96065*m = -95327*m + 41328 for m. -56 Solve -40717*p + 40475*p + 20328 = 0 for p. 84 Solve -7488*p + 135082 = 513119 + 370763 for p. -100 Solve -75*t = 108*t - 44*t - 3336 for t. 24 Solve -769*c = 2871 + 13914 + 6417 - 5515 for c. -23 Solve 879*s = 34962 - 8912 - 5507 + 39229 for s. 68 Solve -129*w - 162*w = 41*w + 70 + 1590 for w. -5 Solve -1671*b - 792*b = 254*b - 103246 for b. 38 Solve 0 = 5283*g - 6790*g + 123818 + 73599 for g. 131 Solve -630*m = -1085 + 4176 + 37229 for m. -64 Solve 218 + 1037 = 1255*y for y. 1 Solve -1008*c + 2658 = -44718 for c. 47 Solve -16*y - 145 - 130 = -115 for y. -10 Solve 0 = 25*i + 2955*i - 19205 - 64235 for i. 28 Solve -285*u + 81*u = -1227*u - 45012 for u. -44 Solve 811*a + 23226 = 1364*a for a. 42 Solve 4*o - 127*o = 74*o - 5742 - 956 for o. 34 Solve -10297 = 248*l - 3770 + 9097 for l. -63 Solve -553741*j = -553235*j + 23782 for j. -47 Solve 112*d + 66699 = 65243 for d. -13 Solve 1668 = -10*y - 75*y - 54*y for y. -12 Solve -237017 - 217367 = -8114*w for w. 56 Solve -10*l + 126*l - 2055 - 2390 = -1081 for l. 29 Solve 261*p - 50*p = -1242 + 2722 + 6749 for p. 39 Solve 424*m + 59*m + 254*m = 18*m + 64710 for m. 90 Solve 915*x - 1937 = -19322 for x. -19 Solve 7088*z - 7056*z + 160 = 0 for z. -5 Solve 280 + 24 = -12*j - 266 + 90 for j. -40 Solve 92861 + 115321 = 10906*p - 3395*p + 4735*p for p. 17 Solve -117*t + 166*t - 686 = 87*t - 2092 for t. 37 Solve 161*b = -286*b - 16539 for b. -37 Solve -261*n + 437*n = -39*n - 5805 for n. -27 Solve 2920*u = -108366 - 34714 for u. -49 Solve -39720*q - 39657*q + 7140 = -79496*q for q. -60 Solve 125*h + 1307 + 2760 = -58 for h. -33 Solve -69*u - 28505 + 57765 =
{ "pile_set_name": "DM Mathematics" }
*4/5? -2 (-2)/(-2*(-18)/(-30)) 5/3 Calculate (-5)/((1/(-12))/(7/70)). 6 What is (8/48)/(7/(-21))? -1/2 What is (-1)/(3/(-12)*-2)? -2 Calculate ((-2)/(-10))/(238/140). 2/17 Evaluate (1/4)/(7/(-63)*3). -3/4 What is the value of (-3)/6*3*(-16)/(-18)? -4/3 Evaluate 4/((-16)/6)*4/12. -1/2 Calculate (2/(-9)*-3)/(-5). -2/15 (4/18)/(10/45) 1 (-4)/51*(-3)/(-6)*-3 2/17 90/75*-2*5/4 -3 What is (-12)/(-324)*1/(-2)*-3? 1/18 Evaluate 465/(-775)*5/1. -3 What is ((-15)/10)/(2/4)? -3 4/6*(-21)/63 -2/9 Evaluate (10/(-14))/(5*(-9)/315). 5 Evaluate -15*(-6)/72*4. 5 Calculate (2/(-6))/(1/(-18)). 6 What is the value of 3/(-3)*2*3/(-18)? 1/3 Calculate 1/4*248/217*-7. -2 Evaluate -6*3*18/(-81). 4 (-3)/(-2)*6/3 3 Evaluate (2/3)/(((-2)/(-6))/(-1)). -2 What is (-15)/10*14/7*3? -9 3/(7/(-1)*2/(-2)) 3/7 Evaluate (-15)/6*(-102)/(-85). -3 What is the value of (30/45)/((-4)/(-6))? 1 What is (2*-1)/(6/6)? -2 ((-1)/(-1))/((-111)/555) -5 4*(-7)/((-210)/10) 4/3 (24/(-660))/(2*(-2)/20) 2/11 Evaluate (6/(-6))/(-3)*3. 1 Evaluate 16/12*(-36)/24. -2 What is 2/(4*(-1)/6)? -3 What is the value of (6/(-4))/(11/(308/(-147)))? 2/7 Evaluate ((-6)/2)/((-90)/(-60)). -2 Evaluate (-90)/27*(24/(-5))/(-4). -4 What is the value of (((-1)/(-3))/(112/64))/(-2)? -2/21 What is (1/10)/(15/30)? 1/5 What is 4*2*(-2)/24? -2/3 What is the value of (-6)/(-12)*(-4)/(-11)*-1? -2/11 Evaluate ((-8)/(224/(-20)))/(2/(-14)). -5 (2/(-18))/(96/72) -1/12 What is the value of (-5)/(-30)*-9*2/(-12)? 1/4 (-1*3)/(-3)*9/(-9) -1 2/4*(-18)/(-15) 3/5 Evaluate 6/2*(-6)/72. -1/4 Calculate ((-3)/(-4))/(30/(-120)). -3 Evaluate ((-2)/(-3))/(76/(-570)). -5 Evaluate (0/(-1))/(-4)*1/4. 0 What is the value of (102/72)/(-17)*-2? 1/6 Calculate ((-10)/6)/(915/(-244)). 4/9 What is the value of 219/73*((-10)/24)/5? -1/4 Calculate ((-25)/10)/((-1)/(-4)*-2). 5 Evaluate (2/9)/((-46)/69)*12. -4 Evaluate ((-4)/24)/((12/(-16))/3). 2/3 Calculate 4*(-1)/9*18/(-4). 2 0/(((-16)/8)/(-1)) 0 -3*(-10)/15*(-4)/(-52) 2/13 Evaluate (6/(-5))/(16/(-20)). 3/2 Calculate 1*(-8)/5*35/14. -4 What is 1/((1/(-2))/((-1)/(-13)))? -2/13 What is (4/(-6))/(((-80)/25)/8)? 5/3 What is the value of -14*3/(-12)*(-24)/42? -2 Evaluate -3*-20*14/(-105). -8 Calculate ((-1)/(-2))/(((-66)/(-60))/(-11)). -5 Calculate 32/6*36/(-24). -8 (1/10)/((-192)/(-720)) 3/8 What is the value of -2*20/(-72)*(-12)/(-10)? 2/3 Evaluate ((-5)/(-20)*-1)/(3/(-6)). 1/2 Calculate ((-37)/(-111))/(3/36). 4 What is the value of 7*7/49*(-3)/21? -1/7 Evaluate ((-6)/(-6))/((-13)/((-104)/48)). 1/6 -3*8/(96/(-20)) 5 Evaluate (-8*(-5)/30)/((-4)/6). -2 What is the value of ((-210)/21)/(-12*2/2)? 5/6 What is 25/30*1/5? 1/6 What is the value of (-1)/(-1)*4/48*-4? -1/3 Evaluate (-4)/(-6)*129/215. 2/5 What is the value of (4/((-88)/33))/(6/(-4))? 1 What is (17/(-51))/((-1)/3)? 1 What is (9/(-84))/(2/(16/(-3)))? 2/7 What is ((-119)/(-1190))/((-3)/((-30)/4))? 1/4 Calculate 3*1*(-3)/18*8. -4 What is the value of ((-2)/(-4))/((-7)/4)? -2/7 (1/3)/((-1)/(18/2)) -3 -4*7/56*-18 9 (16/(-4))/((-6)/((-12)/(-2))) 4 14/4*64/224 1 What is the value of (-3)/27*9*16/72? -2/9 What is (4/(-8))/(5/(-25))? 5/2 Evaluate (-450)/(-30)*3/(-9). -5 Calculate ((-42)/112)/((-6)/(-4)). -1/4 Calculate (-4)/((-48)/(-18))*-2. 3 (900/(-1440))/(1*(-2)/16) 5 What is the value of 2/(-3)*51/34? -1 Evaluate (6/6)/((-1)/(-2)). 2 Calculate 432/(-36)*(-2)/(-6). -4 What is ((-9)/63)/((8/14)/1)? -1/4 ((-6)/(-1))/((-5)/30*-27) 4/3 Evaluate ((-10)/20)/(10/4). -1/5 What is the value of ((-4)/(-12))/(3*(-21)/27)? -1/7 Evaluate (7/(-98))/((-8)/(-64)). -4/7 What is ((-25)/200)/(1/2)? -1/4 What is (945/30)/21*6/1? 9 What is 0/(6/(-36)*-6)? 0 Evaluate ((-21)/35)/(51/(-5)). 1/17 Calculate (12/(-9))/(264/(-99)). 1/2 -3*1/6*3/(-2) 3/4 Evaluate 4/(-32)*(-4)/4. 1/8 Evaluate ((-567)/(-54))/(6/1). 7/4 Evaluate 2*1/(-4)*(-8)/(-20). -1/5 What is ((-6)/20*2)/((-27)/135)? 3 (7*(-4)/(-28)*7)/(-4) -7/4 What is ((-92)/1610)/((-3)/(-7))? -2/15 Calculate 1*(-11)/374*2. -1/17 What is 1*-5*(-10)/(-25)? -2 What is ((4*-1)/(6/3))/(-2)? 1 What is the value of (((-28)/14)/(4/6))/1? -3 1/(-3*28/48) -4/7 Calculate ((-27)/198)/(1/4). -6/11 What is the value of -3*(4/10)/((-300)/(-125))? -1/2 What is ((-3)/(-5))/(((-56)/35)/8)? -3 What is (-9)/(-12)*(-24)/30? -3/5 Calculate (4/80*15)/(6/16). 2 What is (-11)/((-22)/(-8))*1/(-2)? 2 Evaluate (-6)/8*3*2/9. -1/2 Evaluate ((-2)/(-13))/(1200/1300). 1/6 Calculate (10*6/(-90))/((-8)/6). 1/2 Evaluate (-2)/(-4)*(-64)/224. -1/7 Calculate (15/(-30))/(1/(-2)). 1 What is the value of (-1)/((18/(-7))/(138/(-483)))? -1/9 What is the value of (48/(-18))/(-4)*-6? -4 (-1)/(1*-1*45/(-45)) -1 5*-2*3/165 -2/11 What is the value of 7/(-28)*(-56)/(-91)? -2/13 Evaluate -9*(-1)/2*(-6)/(-63). 3/7 Calculate (-7)/28*-6*(-4)/(-27). 2/9 What is (-12)/14*3*(-98)/(-189)? -4/3 Evaluate (-396)/(-45)*(-5)/(-4). 11 Calculate ((-2)/9)/(3*(-16)/2160). 10 -6*((-20)/(-30))/1 -4 Evaluate (-1)/(-2*(-7)/42*-3). 1 What is the value of (3/(-10))/((-108)/(-810))? -9/4 Evaluate (11/(-11))/((-3)/(-1)). -1/3 What is ((-2)/4)/(125/(-875))? 7/2 What is (6/(-5))/1*5? -6 What is the value of ((-352)/(-880))/(2/(-10))? -2 Calculate (-120)/(-30)*5/(40/(-6)). -3 What is 8/3*7/((-98)/(-21))? 4 What is the value of (4/6)/((-20)/120)? -4 What is the value of 0/(-9*(-8)/36)? 0 Evaluate (-70)/15*18/12. -7 What is (9/(-9))/(6/2)*-9? 3 Evaluate ((-28)/14)/(1*16). -1/8 Evaluate (2*(-1)/4)/(959/(-274)). 1/7 What is ((-4)/(-8))/(50/20)? 1/5 Calculate ((-20)/(-12))/(1/(-9)*3). -5 What is the value of (-84*4/(-16))/3? 7 What is 18/(-243)*3*3/(-1)? 2/3 Evaluate (10/(-1))/(-15*(-28)/210). -5 What is 3/(-6)*(-32)/88? 2/11 What is (-6)/((63/(-14))/(-1))? -4/3 Calculate (-15)/30*2/(-7)*-4. -4/7 Calculate (4/75)/(54/135). 2/15 Calculate ((-21)/7)/(3/(-5)). 5 What is 1/4*(336/(-49))/(-6)? 2/7 Evaluate ((75/(-5))/(-5))/((-24)/(-32)). 4 Evaluate (32/28)/(-4)*(-91)/286. 1/11 Calculate ((-9)/(315/(-4)))/((-4)/10). -2/7 What is (0/3)/((-2)/1*-1)? 0 (14/42)/((-1)/6) -2 (-2)/(((-7)/3)/((-20)/(-30))) 4/7 What is ((-48)/1800*-1)/(2/6)? 2/25 Calculate ((-2)/(-6))/(((-931)/42)/19). -2/7 What is (-1)/2*4/20? -1/10 What is the value of ((-18)/(-6))/(15/3)? 3/5 Evaluate (24/10)/(23/(460/8)). 6 What is the value of 6/21*28/76? 2/19 Evaluate (-12)/9*15/10. -2 Calculate (1/2)/(6/((-168)/(-49))). 2/7 What is the value of (-20)/60*27/3? -3 What is the value of 2/14*6/((-3)/(-1))? 2/7 What is 2/4*16*3/6? 4 What is ((-2)/4)/((-17)/238)? 7 (4*5/(-200))/((-2)/4) 1/5 Evaluate (2/4)/(38/8*1). 2/19 Evaluate (3/(-2))/(69/184). -4 What is (-60)/((-10)/2)*(-4)/(-12)? 4 What is the value of 2/(((-120)/(-4))/5)? 1/3 What is (-1)/4*144/(-9)? 4 Calculate 324/(-72)*(-12)/(-27). -2 Evaluate (2/21)/((-33)/(-198)). 4/7 What is (-48)/(-60)*15/126? 2/21 What is the value of (-58)/232*10/1? -5/2 What is the value of 1/((19/190)/((-2)/4))? -5 Evaluate (-1)/((-2)/(30/(-5))). -3 What is the value of 88/66*2/8*3? 1 (54/12)/(45/30) 3 ((-3)/36*3)/(12/96) -2 (8/40)/(1/10) 2 What is the value of (6/36)/((-6)/18)? -1/2 Evaluate ((-32)/4)/(-4)*(-2)/(-2). 2 (2*(-1)/30)/((-51)/(-153)) -1/5 What is 10/15*-3*(-5)/2? 5 What is the value of ((-14)/(-210))/(-1*(-2)/(-4))? -2/15 What is ((-69)/874)/(3/4)? -2/19 Calculate ((-2)/(-2))/((-2)/6). -3 What is (-93)/248*(-4)/(-6)? -1/4 What is the value of (-6*(-7)/42)/(1/(-3))? -3 Evaluate ((-14)/(-224))/((6/(-2))/12). -1/4 ((-5)/2)/((-7)/112*-8) -5 Evaluate (4/9)/((-136)/102). -1/3 (-2)/3*5/(35/21) -2 Calculate (3/6)/((-3)/(-18)). 3 Calculate 26/520*-3*8/12. -1/10 What is 3/(-2)*(-23)/(966/(-56))? -2 What is (18/30)/((-210)/(-400))? 8/7 What is (7/((-70)/(-12)))/((-10)/(-25))? 3 Calculate (-1)/((11/3)/((-2)/3)). 2/11 Calculate -6*9/(-9)*1. 6 Calculate -2*(-6)/15*50/20. 2 (2*6/42)/((-2)/(-3)) 3/7 What is (6/(-108))/(3/12)? -2/9 Calculate ((-3)/(-6))/(9/(-6))*3. -1 Calculate 150/25*-1*2/102. -2/17 5/((-11)/(-44)*-20) -1 What is the value of (((-6)/4)/3)/((-3)/2)? 1/3 Evaluate (7/147)/(3/21). 1/3 What is the value of (1/(-3))/((-33)/297)? 3 ((78/(-6))/(-26))/((-2)/(-28)) 7 Evaluate (0/1)/((-13)/(65/5)). 0 ((-35)/(-14))/(6/12) 5 What is ((-6)/2)/36*6/3? -1/6 Evaluate 2/(-1)*1/(-15). 2/15 What is the value of ((-6)/(-8))/(1*4/16)? 3 Evaluate (0*(-5)/(-30))/1. 0 Evaluate 4/(-42)*-2*(-12)/(-8). 2/7 (21/35*10)/(-16) -3/8 What is
{ "pile_set_name": "DM Mathematics" }
(-4)/6*45/6? -5 What is the value of 6/(-11)*(-429)/39? 6 Calculate (16/(-42))/(96/112). -4/9 Evaluate ((-5)/((-20)/3))/((-189)/(-84)). 1/3 What is 4/((-24)/15)*2/(-5)? 1 1*8/(-100)*5 -2/5 What is (96/112*28/(-6))/(-4)? 1 What is the value of ((32/(-6))/8)/((-8)/(-6))? -1/2 What is (8/12)/(42/(-27))? -3/7 (8/(-6))/(20/(-30)) 2 What is the value of (6/3)/((-6)/9)? -3 ((-2)/4)/((-189)/126) 1/3 What is the value of (39/182)/((-2)/(4/6))? -1/14 Calculate ((-13)/(-52))/((21/(-12))/(-7)). 1 (21/(-14))/((-6)/4) 1 What is (16/14)/(4/(-2))*-7? 4 What is 2*((-2)/26)/((-44)/286)? 1 What is (2/(-8))/((-270)/(-240))? -2/9 Evaluate 15*((-192)/60)/8. -6 What is (0/5)/(2/(-2))? 0 Calculate ((-9)/6)/(1/2). -3 What is the value of 4/9*(-15)/(-10)*-1? -2/3 What is the value of (6/(-5))/(153/510)? -4 35/(-21)*12/20*-3 3 Calculate (-4)/4*1*1/1. -1 What is the value of (-15)/(405/(-90)*2/6)? 10 Calculate ((-2)/(-10))/(44/110). 1/2 4*(-12)/192*2 -1/2 (-12)/8*44/11 -6 What is the value of (-10)/5*5*(-1)/(-25)? -2/5 Evaluate (70/(-8))/7*4. -5 Evaluate (12/((-24)/2))/(2/14). -7 Evaluate (-15)/10*(-50)/(-15). -5 1*3/(-14)*(-112)/96 1/4 What is (-21)/14*(-2)/(-12)? -1/4 What is (52/39)/((-28)/(-6))? 2/7 What is the value of (2/2)/((42/(-6))/(-14))? 2 What is the value of 1/(-3)*-5*-1? -5/3 Evaluate 1/(-10*(-2)/20). 1 ((-6)/5)/(48/(-16)) 2/5 Evaluate (-1)/(-1*-33*5/(-30)). 2/11 What is the value of (-2)/(-3)*2/((-56)/(-12))? 2/7 Evaluate 92/(-23)*1/(-2). 2 Calculate (-72)/(-6)*(-5)/15. -4 Calculate 1*(-16)/((-24)/6). 4 (10/3)/(2/3) 5 Calculate 4*6/(-216)*1. -1/9 4*5/(-40)*1 -1/2 ((-7)/(210/(-24)))/((-4)/(-10)) 2 What is the value of 4/14*91/(-117)? -2/9 What is the value of 2/(-2)*1*0/185? 0 Evaluate (1/(-27))/(9/(-216)*4). 2/9 What is the value of -5*-1*(-96)/(-60)? 8 What is (-1)/(-1)*81/135? 3/5 Calculate 3/(12/(-64)*-4). 4 Evaluate (-2)/3*(84/64)/(-7). 1/8 Evaluate (528/198)/((-1)/3). -8 What is ((-2)/(-12))/(34/(-102))? -1/2 Evaluate -4*(-3)/10*5. 6 ((-120)/105)/((-2)/((-1)/(-1))) 4/7 -5*(-16)/(-1200)*(-10)/(-3) -2/9 (((-30)/28)/(-5))/((-3)/(-6)) 3/7 Evaluate (6/12)/((-6)/12). -1 2/(-3)*(-3)/(-5) -2/5 What is the value of ((-5)/(-6))/(25/(55/(-11)))? -1/6 What is the value of ((-78)/(-26))/(-1*(-3)/2)? 2 What is ((-45)/(-36))/(-1)*2/(-15)? 1/6 Evaluate (-5)/(((-210)/112)/((-3)/(-4))). 2 Calculate 12/16*(32/(-4))/1. -6 Evaluate (4/50*5)/((-33)/15). -2/11 What is the value of (8/42)/(-5*3/(-45))? 4/7 ((-3)/(-18)*6)/((-2)/4) -2 Calculate 6/(-63)*(-49)/21. 2/9 ((-3)/12)/((-7)/28) 1 Calculate 138/23*(-1)/(-12). 1/2 Evaluate ((45/(-6))/(-5))/((-73)/(-146)). 3 What is the value of (-492)/(-2583)*6/(-4)? -2/7 Evaluate (20/(-200))/((28/24)/(-7)). 3/5 Calculate (-13)/91*1/(-1). 1/7 Calculate 3/2*(456/(-90))/(-19). 2/5 Evaluate (-15)/8*2*(-36)/27. 5 10/25*8/(96/(-5)) -1/6 What is the value of 5/4*72/(-180)? -1/2 What is (5*1/(-3))/((-11)/(-33))? -5 Evaluate 4/(44/(-33)*(-21)/2). 2/7 Evaluate (-210)/15*(-2)/4. 7 What is (((-4)/(-2))/(-8))/(1508/(-928))? 2/13 (-6)/(36/(-15))*(-204)/85 -6 What is 1/2*20*(-3)/(-6)? 5 Calculate (-4)/(-6)*1*33/(-286). -1/13 Evaluate (10*-3)/(393/(-131)). 10 Calculate (6/6)/((-162)/36). -2/9 Calculate 85/170*(-8)/(-10). 2/5 What is (0/2)/((-288)/(-144))? 0 Calculate 8/4*-1*(-4)/(-10). -4/5 What is 8*(-24)/(-128)*(-6)/9? -1 Evaluate (10/(-36)*4)/((-10)/(-15)). -5/3 (-40)/24*(-1)/(-5) -1/3 Calculate ((-12)/15)/(68*4/(-40)). 2/17 What is the value of ((0/5)/(-7))/3? 0 Calculate (8/(-10))/(5/(-175)*-7). -4 What is the value of (4*21/(-56))/((-1)/(-2))? -3 (1/(-6))/(21/(-378)) 3 Evaluate ((-4)/6*-1)/((-7)/(-21)). 2 Calculate 6*(9/21)/(24/28). 3 Calculate -7*8/28*-1. 2 What is the value of (-6)/(-3)*-1*(-1)/(-2)? -1 What is the value of 15/(-5)*-1*(-12)/4? -9 What is the value of 3*1*4/(24/(-2))? -1 What is the value of (27/63)/1*1? 3/7 Calculate (6/20)/(10/((-40)/(-12))). 1/10 What is the value of (30/8)/(-15)*(-8)/(-20)? -1/10 What is 1/(28/(-8))*(-42)/(-30)? -2/5 15/(-10)*70/(-15) 7 What is ((-2)/6)/(2/(-30)*5)? 1 Evaluate ((-12)/(-128)*4)/(18/8). 1/6 Calculate ((-260)/390)/((-8)/(-42)). -7/2 Calculate (-9)/(-2)*12/18. 3 What is (2*2/4)/(-1)*-2? 2 What is the value of (-30)/(-105)*1/2? 1/7 (8/(-3))/(-6*3/27) 4 Evaluate (270/(-81))/(-1*2/(-3)). -5 What is (165/6)/(-11)*(-8)/50? 2/5 Calculate 60/6*-1*(-4)/(-8). -5 What is the value of ((-12)/10)/(32/80)? -3 (((-80)/35)/(-4))/(-2)*2 -4/7 0/((-81)/9)*(-1)/(-5) 0 8/(-120)*6/((-18)/15) 1/3 Evaluate ((-54)/27)/((-3)/(2*6)). 8 What is (76/342)/(2/(8/(-4)))? -2/9 What is 1*12*((-208)/16)/26? -6 What is the value of 2*(-120)/32*(-2)/3? 5 Calculate (5/100)/(10/(-8))*-5. 1/5 What is (-5*2/(-15))/((-48)/32)? -4/9 ((-3)/(9/2))/(28/(-84)) 2 Evaluate (-15)/(-10)*-1*-1. 3/2 Evaluate -1*(-6)/2*(-1)/1. -3 Calculate ((-2)/(-35))/(-1)*(-175)/(-35). -2/7 What is the value of ((-44)/(-22))/((-21)/(-6)*2)? 2/7 What is the value of ((-12)/40)/3*-6? 3/5 Calculate 0*7*(-5)/(-105). 0 Evaluate (-15)/(-10)*-6*1/3. -3 Evaluate (-21)/78*16/(-28). 2/13 What is the value of ((-8)/(-12))/((-40)/180)? -3 What is (3/2)/(1*(-45)/(-12))? 2/5 ((-4)/(-6))/(2/(-3)) -1 Evaluate 6*4/(-56)*7. -3 Evaluate 765/714*6/(-15). -3/7 Calculate ((-32)/160)/(2/(-40)). 4 Calculate (4/3)/((-280)/(-35)). 1/6 What is the value of (4/70)/(268/(-1407))? -3/10 What is the value of ((-570)/342)/(5/12)? -4 Evaluate 12/8*(-24)/(-9). 4 What is the value of ((-11)/429)/(((-2)/(-12))/(-1))? 2/13 (-50)/125*10/(-48) 1/12 Evaluate (-10)/(-4)*304/1520. 1/2 ((-3)/6)/((-7)/(-56)) -4 What is the value of 35/42*(-1)/(-5)*-3? -1/2 What is the value of 7/5*(-320)/64? -7 Calculate (3/(-3))/(25/(-25)). 1 ((-4)/(-6))/((-14)/21) -1 Evaluate (3/(-5*(-4)/(-4)))/(-3). 1/5 What is (13/((-325)/10))/((-26)/(-10))? -2/13 (((-70)/(-14))/(-10))/(3/2) -1/3 Evaluate ((-8)/(-120))/((-8)/(-72)). 3/5 Evaluate 258/(-344)*16/30. -2/5 What is the value of ((12/2)/3)/(-1)? -2 What is the value of (24/16)/(6/12)? 3 Calculate (2/(-8))/(26/(-416)). 4 27/(-81)*(-1)/((-2)/3) -1/2 What is (4/(-42))/((-2)/(-9))? -3/7 Calculate 12/((-14)/((-308)/33)). 8 What is the value of ((-6)/(-5))/(36/(-120))? -4 What is (9/(-24)*2)/(25/(-25))? 3/4 What is ((-1)/4*2)/((-6)/20)? 5/3 25/(-5)*(-2)/(6/(-3)) -5 Calculate 300/(-875)*25/(-15). 4/7 Evaluate (-8*(-6)/60)/((-4)/10). -2 Calculate (-3)/(((-90)/6)/5)*1. 1 (2/1*(-33)/66)/(-1) 1 Evaluate (6/(-4))/(450/(-60)). 1/5 ((-10)/(-36))/(185/148) 2/9 Evaluate (1/5)/(300/(-16500)). -11 Calculate (-10)/(-15)*(-30)/8*2. -5 What is the value of 8/18*1/2? 2/9 What is 180/(-27)*36/(-40)? 6 Evaluate ((-1)/(-5))/(6/(-15))*0. 0 What is ((-4)/(-4))/1*1? 1 What is the value of 12/(-960)*-10*4/2? 1/4 What is (((-45)/8)/(-5))/((-3)/4)? -3/2 Calculate (30/25)/((-72)/(-80)). 4/3 What is 15/18*-3*(-4)/(-10)? -1 Calculate (20/(-252))/(50/60). -2/21 Calculate ((-7)/(14/(-3)))/6. 1/4 Calculate ((-40)/(-56))/(10/(-35)). -5/2 Calculate (1185/(-711))/((-2)/6). 5 -4*(-5)/120*20/(-45) -2/27 (8/(-4)*1)/(-2) 1 ((-7)/((-42)/(-4)))/((-8)/9) 3/4 What is (-6)/27*(-6)/4*-2? -2/3 Calculate ((-9)/((-36)/8))/1. 2 What is (-3)/(6*(-22)/(-12))? -3/11 Evaluate (8/30*3)/1. 4/5 30/(-75)*(-1)/6*-5 -1/3 Evaluate (-18)/(-9)*1/2. 1 Calculate 6/14*((-210)/12)/(-5). 3/2 What is 26/104*(-4)/(-6)? 1/6 Calculate 6*(-8)/54*6/(-24). 2/9 Evaluate (-3*2/105)/((-1)/(-5)). -2/7 Calculate (1/(-3))/((-28)/((-336)/5)). -4/5 What is 30/140*(-4)/(-6)*-3? -3/7 Evaluate 7/21*-6*(-6)/(-84). -1/7 ((-44)/748)/(2/(-17)) 1/2 What is the value of 96/80*(-10)/6? -2 Evaluate 15/(525/(-28))*1*5. -4 Evaluate 3/(-9)*3*-1. 1 ((-8)/4)/(5/((-45)/(-6))) -3 Calculate (1*7/(-14))/((-1)/2). 1 Evaluate -1*(-10)/(-25)*20/(-72). 1/9 Evaluate 10/25*(-35)/(-133). 2/19 What is (-4)/((-12)/8*52/13)? 2/3 What is (-4)/6*(-21)/(-56)*-8? 2 1/2*924/(-77) -6 Calculate (24/(-16))/3*12. -6 (-9)/15*40/(-108) 2/9 Calculate ((-72)/112)/((-15)/10). 3/7 Calculate -3*(-6)/72*4. 1 Calculate -2*3/6*35/7. -5 What is ((-5)/2)/(((-7)/(-2))/(-7))? 5 ((-6)/9)/((48/(-54))/2) 3/2 Calculate -1*2/4*-6. 3 Calculate ((-16)/(-12))/((-44)/198). -6 ((-2)/15)/((-62)/(-279)) -3/5 (4/10)/(14/7) 1/5 What is (-2)/(((-56)/20)/7)? 5 What is (2/(-28))/((-4)/(-8))? -1/7 Evaluate (55/33)/((-4)/6)*-2. 5 What is the value of (((-6)/18)/(3/(-81)))/1? 9 Calculate 162/(-18)*(-5)/(-9). -5 Evaluate (2*1)/
{ "pile_set_name": "DM Mathematics" }
2 - 21 + y + 2*f**2 wrt f. 36*f**2 + 12 Let x(p) be the second derivative of -1988*p**6/15 - 2*p**3 + 9*p**2/2 + 4*p + 193. What is the second derivative of x(i) wrt i? -47712*i**2 Let k(x) be the first derivative of 1358*x**3/3 + 4*x**2 - 42*x - 1094. Find the second derivative of k(c) wrt c. 2716 Let w be 612/17 + (-2)/(-2). Suppose 0 = -4*b + 101 - w. What is the second derivative of 9*j - 15*j + b*j - 2*j**2 wrt j? -4 Let u(x) be the second derivative of 227*x**4/2 + 1201*x**2 - 637*x. Differentiate u(l) with respect to l. 2724*l Find the third derivative of 185*j**3 + 0*j + 18*j**5 - 5*j**5 + j - 234*j**3 - 99*j**2 + 56*j**2 wrt j. 780*j**2 - 294 What is the derivative of 3*j - 12 - 37*j**2 - 103 - 110*j**2 - j wrt j? -294*j + 2 Let q(s) be the third derivative of s**2 + 0*s**3 - 53*s - 25/8*s**4 + 0 - 61/60*s**5. What is the second derivative of q(f) wrt f? -122 Let s(c) be the third derivative of c**7/105 - c**6/20 + 38*c**5/5 - 883*c**4/6 + 97*c**2 - 2*c - 4. Find the second derivative of s(g) wrt g. 24*g**2 - 36*g + 912 Let x(c) = 946*c**2 + 136*c + 2. Let p(l) = 2*l**2 + l + 1. Let v(o) = -5*p(o) + x(o). Find the second derivative of v(n) wrt n. 1872 Let j be 374/4 + 35/14. Let t = j + -59. Find the third derivative of 148*y**2 - y**5 - 142*y**2 + t*y**5 wrt y. 2160*y**2 Let t be ((-126)/(-49))/6 + 834/14. Suppose 4*f - t = 88. Find the first derivative of 0*c + f - 3*c + 23*c - 8 wrt c. 20 Let w = -11702 - -11746. Let q(n) be the first derivative of -w - 13/2*n**4 - 17*n + 0*n**3 + 0*n**2. Find the first derivative of q(j) wrt j. -78*j**2 Let j(g) be the third derivative of -104*g**7/35 + 1401*g**4/8 + 443*g**2 + 2. What is the second derivative of j(z) wrt z? -7488*z**2 Let b = 125 + -121. Let a(v) be the first derivative of -7*v**4 + v - 2*v**b - 3*v**4 - 13 - 10*v. What is the derivative of a(s) wrt s? -144*s**2 Suppose -4*x = -5 + 1. Let u = 19 - x. Find the third derivative of 2*j**4 + u*j**2 - 2*j**4 + 4*j**5 + 2*j**5 wrt j. 360*j**2 Let y = 3472 + -3467. Let n(c) be the first derivative of -19*c + 33/5*c**y + 29 + 0*c**2 + 0*c**3 + 0*c**4. What is the derivative of n(b) wrt b? 132*b**3 Let t = -75 - -84. Find the second derivative of -3 - 8*h + 2*h - 111*h**3 + t*h + 2 wrt h. -666*h Let h = 57755/2 - 28877. Let u(v) be the third derivative of 0*v - 12*v**2 + 43/24*v**4 + 0 + h*v**5 + 0*v**3. Find the second derivative of u(b) wrt b. 60 Let s(u) be the first derivative of 908*u**5/5 + 304*u**3 - 784. Find the third derivative of s(p) wrt p. 21792*p Let p(q) be the second derivative of q**6/15 - 19*q**5/20 + q**4/6 + 267*q**3/2 - 469*q. What is the third derivative of p(s) wrt s? 48*s - 114 Find the third derivative of 2*q**2 + 607*q**5 - 1120*q - 499386*q**4 + 499386*q**4 wrt q. 36420*q**2 Let t(r) be the second derivative of 19*r**5/10 - 5*r**4/12 - 2423*r**3/3 - 15*r + 37. What is the second derivative of t(v) wrt v? 228*v - 10 Let p(t) be the second derivative of -269*t**3/3 - 451*t**2/2 - 1594*t. What is the derivative of p(a) wrt a? -538 Suppose 15*j = 11*j + 3*n + 3, j - 5*n = -12. What is the first derivative of 30 - 24*k**3 + 71*k**j - 4 wrt k? 141*k**2 What is the first derivative of 297*j - 890*j + 295*j + 379*j**3 + 298*j + j**2 + 589 wrt j? 1137*j**2 + 2*j Let s(z) = -z**3 + 6*z**2 - z - 11. Let q(n) = -n + 14. Let d be q(9). Let y be s(d). What is the derivative of -7 + 4 + 14 + y*c wrt c? 9 Let c = 3272 - 3268. Let a(d) be the first derivative of 8 + 0*d + 0*d**c + 5*d**5 - 13/2*d**2 + 0*d**3. Find the second derivative of a(b) wrt b. 300*b**2 Let a(q) be the first derivative of -669*q**7/7 - q**6/6 - 53*q**3/3 - q**2/2 - 1630. Find the third derivative of a(y) wrt y. -80280*y**3 - 60*y**2 Let c = 58 - 55. Suppose -10*j = -37 - c. What is the third derivative of 1193*z**j + 15*z**2 - 1178*z**4 - 3*z**2 wrt z? 360*z Let w(j) be the second derivative of -229*j**6/6 - 13*j**4/12 - 51*j**2 - 783*j + 2. What is the third derivative of w(a) wrt a? -27480*a Let a(i) be the third derivative of 6319*i**4/24 - 1043*i**3 + 4*i**2 + 1205*i. What is the first derivative of a(c) wrt c? 6319 Let v(q) = -q**3 + 31*q**2 - 28*q - 30. Let y be v(30). What is the derivative of y + 42*x**3 + 0*x**3 + 70 + 12*x**3 wrt x? 162*x**2 Let b be (9/(-12))/((-9)/24). Suppose 0 = -15*d + 16*d - b. Find the third derivative of -20*f**5 + d*f**5 + 6*f**2 + 3*f**5 wrt f. -900*f**2 Let i(q) = 157*q**4 - 4*q**2 + 201*q + 4. Let f(v) = 2*v**4 + v**2 + v + 1. Let s(y) = 4*f(y) + i(y). Find the second derivative of s(w) wrt w. 1980*w**2 Let l(b) be the second derivative of -4741*b**4/12 + b**3/3 - 2443*b**2/2 + 10224*b. Find the second derivative of l(c) wrt c. -9482 Let z = 56 - 57. Let b(m) = -2*m**3 + m**2 + 4*m + 4. Let i be b(z). What is the third derivative of -7*x**2 - 7*x**i - 3*x**2 - 3*x**3 + 3*x**2 wrt x? -60 Let p(f) be the first derivative of 0*f**3 + 0*f**2 - 133/4*f**4 + 161*f + 220. What is the first derivative of p(x) wrt x? -399*x**2 Suppose 3*c = -4*b + 88, b - 12 = 3*c - 5. Suppose -25 - 545 = -19*d. Find the second derivative of 62*r**2 + d*r - b*r**3 - 62*r**2 wrt r. -114*r Let s = -1 - -3. Suppose 4*y - 4*u - 556 = 72, -5*u = 4*y - 610. Differentiate 8*z - s*z + y - 108 with respect to z. 6 Let u(t) = -4*t**4 - 6*t**2 + 5*t + 2998. Let l(q) = -q**3 + 2*q**2 - 2*q. Let m(c) = 6*l(c) + 2*u(c). What is the first derivative of m(r) wrt r? -32*r**3 - 18*r**2 - 2 Let g(f) be the third derivative of -409*f**6/40 + 178*f**5/5 - f**2 + 81*f + 25. What is the third derivative of g(y) wrt y? -7362 Let a be (20/50)/(3/(-45)). Let d be (-825)/(-88) - a/(-16). What is the first derivative of -d*y + 82 - 11*y - 89 wrt y? -20 Find the second derivative of -615*m - 1934*m + 2706*m**2 + 1258*m**2 wrt m. 7928 What is the third derivative of -398*r**5 + 9*r**4 + 1739*r - 1739*r - 2*r**3 + 3*r**2 - r**4 - 7*r**4 - 2199 wrt r? -23880*r**2 + 24*r - 12 What is the second derivative of 2912*p**2 - 7*p - 1326*p**2 + 226 - 1029*p**2 + 3*p - 778 wrt p? 1114 Let l = -46 - -48. Suppose 4*m = -u + 6*u - 27, -l*u - 3 = 3*m. Find the third derivative of -100*f**3 - f**2 + 0*f + 0*f + 77*f**u wrt f. -138 Let y(q) be the first derivative of 1464*q**7/7 + q**3 + 613*q**2/2 + q + 15037. What is the third derivative of y(k) wrt k? 175680*k**3 Let p(q) = 6*q - 63. Let o be p(11). What is the first derivative of -54*b**o - 15 + 10983*b**2 - 10983*b**2 wrt b? -162*b**2 What is the first derivative of 910*u**2 + 255 + 3701*u**2 + 2034 - 1300*u**2 wrt u? 6622*u What is the third derivative of -3163*l**3 - 21*l + 13*l**2 - 24*l + 45*l - 9*l**2 wrt l? -18978 What is the first derivative of 1573 + 611*h - 185*h + 767 + 803*h - 200*h wrt h? 1029 Suppose -12*n + 25*n - 52 = 0. What is the second derivative of -55*r**4 + 121*r**n + 48 - 49*r**4 + r - 60*r**4 - r**2 wrt r? -516*r**2 - 2 Let b = -2060 - -2066. Let a(p) be the second derivative of -8*p + 0 + 0*p**4 - 1/2*p**b + 0*p**5 + 0*p**3 - 5*p**2. What is the first derivative of a(l) wrt l? -60*l**3 Let k(w) be the third derivative of -223*w**7/21 + w**5/30 + 57*w**3 + 1336*w**2. Find the third derivative of k(z) wrt z. -53520*z Find the third derivative of 3752*y**4 - 2 + 2 - 3775*y**4 + 455*y**2 + 1236*y**2 + 8*y**3 wrt y. -552*y + 48 Find the third derivative of -9099537 - 3*f + 9099537 - 1825*f**6 - 221*f**2 wrt f. -219000*f**3 Let g(u) be the second derivative of -u**6/30 - 441*u**5/4 - u**4/3 - 5*u**2 - 79*u. What is the third derivative of g(v) wrt v? -24*v - 13230 Let r(b) = 129*b - 105. Let z(k) = -20*k - 33 - 28 + 122 + 255 - 366*k. Let f(h) = 11*r(h) + 4*z(h). What is the first derivative of f(v) wrt v? -125 Suppose 2*f - 10 + 4 = 0. Let m(u) be the first derivative of 16 + 0*u**3 + f + 7*u**3 - 9*u - 3*u**3. What is the first derivative of m(j) wrt j? 24*j Let t(l) be the first derivative of 111/2*l**2 - 155 - 95/3*l**3 + 0*l. What is the second derivative of t(v) wrt v? -190 Let h = -61 + 64. Let f be (0 + h - (2 - -1)) + 2. What is the second derivative of -46*j - 14*j**f + 62*j - 2*j**2 wrt j? -32 Let k(b) be the first derivative of -5379*b**2 + 2035*b + 12242. What is the derivative of k(g) wrt g? -10758 Suppose -76*t + 79*t - 6 = 0. What is the second derivative of 69*j**t + 4074 - 4074 - 34*j wrt j? 1
{ "pile_set_name": "DM Mathematics" }
- 6*a + 7 = s for a. 1 Suppose -5*b - 43 = -18. Let j = -1 - b. Let w(i) = -i**3 - 4*i**2 + 3*i - 5. Let y be w(-5). Solve -d - 3 = y*z - j*d, -d - 13 = 3*z for z. -3 Suppose 23 = 2*h - 3*v, -v - 25 = 3*h - 8*h. Suppose -5*k = -h*c - k + 8, -16 = -3*c - 2*k. Solve -3*q + 2*n - c = 0, 3*q - 3*n = -q - 4 for q. -4 Let r be (-24)/(-10)*(-17)/((-510)/75). Solve -t - 5*v = -5*t - 30, -r = 2*t + 2*v for t. -5 Let i be (-4)/9 - 44/(-18). Solve -4*b - i*m = 3*m - 1, 4*m - 4 = 0 for b. -1 Suppose 83*k + 2 - 168 = 0. Solve 28*q - 3*p - 4 = 27*q, -p = -q - k for q. -5 Let k be ((-156)/(-8)*6/(-9))/(-1). Solve 5*d + 5*v = 0, 18*d - 2*v + 7 = k*d for d. -1 Let t(x) = 4*x + 111. Let r be t(-27). Let a(l) = l**2 + 4*l - 5. Let v be a(-5). Let q = 2 + v. Solve q = -4*c + 2*j, c + r*c = j - 1 for c. 0 Suppose 4*a + 5 = -a. Let b = 6 - a. Solve -q - b = 4*h, 2*h + 0*q + q + 5 = 0 for h. -1 Let s be (-1)/((45/120)/((-3)/2)). Solve -4*p - s = -5*p + d, 5 = p - 2*d for p. 3 Suppose -2*i = 2*j - 78, 5*i - 165 - 14 = 3*j. Solve -4*q - i = -4*f + 3, 0 = 3*f - 15 for q. -5 Let l be (24/(-15))/((-12)/30). Solve -q - 8 = 5*z - 3*q, -z + l = q for z. 0 Let j be (-7)/28*42*(-8)/14. Solve -c = -5*c - f + 14, -f = -c + j for c. 4 Suppose -4*d = -6*d - 14. Let i be (2/(-4))/(d/70). Suppose -i*y = 15, -4*y = -2*a + 34 - 4. Solve -v - 28 = 2*v - 5*k, k - a = 4*v for v. -1 Let g = -32 + 37. Suppose 2*y - g*o = -0*o, o = 4*y. Suppose -5*d - 4*v = -14, 5*d - 6 + 0 = 4*v. Solve -3*l = -7*l - d*m - 8, 5*m = y for l. -2 Suppose -h - q + 6 = -0*h, 0 = 3*h + q - 16. Suppose h*f - 1 - 9 = 0. Suppose 4*b - 18 - f = 0. Solve 5*z + k = -4, -k - 2*k - 2 = b*z for z. -1 Suppose 5*i + 9*i - 42 = 0. Solve 15 = i*v, 5 = -5*y - 2*v - 0*v for y. -3 Suppose -4*z = -5*i - 89, 0 = 15*z - 10*z + 3*i - 65. Solve 3*y = -0*h - h - z, 3*y = -5*h - 20 for y. -5 Suppose 13*k - 10 = 8*k. Solve -4*n + k*c = -24, -n - c = -2 - 1 for n. 5 Let c(g) be the second derivative of -11*g**3/6 - g**2 + 18*g. Let k be -3 - -2*2/2. Let h be c(k). Solve 0 = -2*b - 5*q + 15 + h, 2*b + 3*q = 16 for b. 2 Let w be 3/(((-42)/4)/7). Let y be 2/(-2)*16/w. Solve h = -2*z + 5, -z + y = -5*h - 11 for h. -3 Suppose 2*y - 7*y + 5*p - 20 = 0, 3*y + 24 = -p. Let f = y - -11. Suppose -f*q = -q. Solve -4*a + d - 3 = q, 0*d = 4*d + 4 for a. -1 Suppose 9 - 25 = -d. Let n be (-4)/16 - (-4)/d. Suppose 0*a - 3*i - 9 = -3*a, 5*a = -i + 9. Solve -v - a*u = -2*v - 6, n = 4*v + 4*u for v. -2 Let g be ((-161)/(-14))/((-1)/(-2)). Suppose -d + g = -2*d. Let o = -14 - d. Solve 9*m + w + 18 = 4*m, 5*m - 2*w = -o for m. -3 Let r be 2 + -1*3/(-3). Let l(v) = -r - 4*v + 0*v + 4*v - 5*v. Let h be l(-1). Solve -3*y + 4*m - 10 = 0, h*y = 5*m + 12 - 28 for y. 2 Let q(t) = 6*t + 44. Let w be q(-7). Solve 5*c + 16 = -w*m, 4*c + 6 = 3*m - 16 for c. -4 Suppose 28*a - 11*a = 34. Solve -5*j + a*t = 4*t - 16, -14 = -3*j + t for j. 4 Let c be (1 - (-3)/6)/((-33)/(-44)). Solve 3*b + c*b + 25 = 4*p, b = p - 5 for p. 0 Let a be (-1 - -1)*(-5)/(-10). Solve 0 = -3*c + c - 3*t + 10, a = -t for c. 5 Let o be (2 - 6 - -2) + (57 - 50). Solve 4*c - c = -5*q + 17, -q = c - o for q. 1 Let c(y) = 22*y + 179. Let m be c(-8). Solve 25 = -3*t + 8*t - 2*w, 0 = -m*t - 4*w + 15 for t. 5 Let k be (0/(-1) - (-6 + 5)) + 0. Let u be ((-165)/(-10))/11 + k/2. Solve -3*a - 32 = -w + 6*w, -u*a = 8 for w. -4 Let j = 5 - 15. Let i = j - -12. Suppose -q + 5*d - 11 - 9 = 0, -i*q + d + 5 = 0. Solve 14 = -3*r + q*t - 5, t - 11 = -3*r for r. 2 Let g(o) = -301*o. Suppose 2*b = -3*b + 5. Let v be g(b). Let y be v/(-42) - 2/12. Solve -2*l - l - y = -4*i, l + 4*i = -13 for l. -5 Let c(s) = 3*s**2 - 6*s - 8. Let n be c(3). Solve 5*v - p = -0 + n, -v - 3 = 3*p for v. 0 Let n = -299 - -304. Solve 2*x = h + 4 - 0, -2*h + x - n = 0 for h. -2 Let q(k) = 33*k - 624. Let i be q(19). Solve -30 = 5*g + 4*a, 2*g = -a + i*a + 6 for g. -2 Let g = 3 + 3. Let d be g*(12/(-9) + 2). Let x = -729 + 731. Solve 0*t + 14 = -x*p + d*t, -3*t = -3*p - 18 for p. -5 Suppose 2 - 12 = 5*b. Let z = -14 - b. Let l be 17/4 + (-9)/z. Solve f - l = 2*c, -c = 2*f + 2*f + 16 for f. -3 Suppose -5*t = -0*t - 15. Suppose -3*b = -0*b - 5*w + 19, b - 5*w + 23 = 0. Solve -4*u + 3*f - 22 = 0, -t*f - b = 2*u - 0 for u. -4 Let l be (-3)/(-6 + (-90)/(-20)). Solve -k - 2 = 2*h - 8, -l*h + k + 2 = 0 for h. 2 Let i = -164 + 166. Solve 10*a - 5*a = 5*p, -a = -3*p + i for p. 1 Let q(l) = -l**2 + 4*l + 2. Suppose 0*z - 4*z + 16 = 0. Let g be q(z). Let i = -22 + 25. Solve 5*h - 1 = i*f, 0 = 4*f + g*h - 7 + 17 for f. -2 Let d(m) = -4*m**3 - 2*m - 3. Let s be d(-1). Solve 26 = -2*n - 2*n - 3*x, -x - 17 = s*n for n. -5 Suppose -2*j - 18 = -4*j. Let q(f) = 2*f - f - j*f**3 + 8*f**3 + 10*f**2 - 8. Let b be q(10). Solve 14 = 2*g + b*x + 2*x, -3*g + 2*x = 3 for g. 1 Let q(x) = 2*x**3 - x**2 - 1. Let i be q(2). Suppose 11 = 3*b - 1, c - i = -2*b. Solve -4*d - 8 = 4*y, c*y + 0*y - 18 = 3*d for d. -4 Let x(s) = -2*s**3. Let n be x(1). Let i be (n + 3)*-1 - -9. Let u be (0/((-3)/(-3)))/1. Solve 12 = 4*d, -2*d = -u*v - v - i for v. -2 Suppose -18 = 6*h + 18. Let i(w) = -w**2 + 11. Let q be i(h). Let o = 25 + q. Solve 3*x + x + 2*b - 16 = o, 0 = 4*x + 4*b - 16 for x. 4 Suppose w - 52 - 40 = 0. Suppose -39*t + 43*t - w = 0. Solve 5*a = u + t, u + 0*u + a - 7 = 0 for u. 2 Suppose 4*l - 30 = -2*y, -33 = 3*l - 8*l - 4*y. Let o(i) = i**2 - 9*i + 5. Let g be o(l). Let c = 49 + -30. Solve 4*x + 2*k = k + 5, -g*x + 3*k = -c for x. 2 Let p = 1441 - 1419. Solve -2*m - 2*k = -4, 5*m + p = 2*m + 4*k for m. -2 Suppose -n + 4*g = -0 + 11, -4*g + 36 = 4*n. Solve -n*f - 8 = -2*c + 9, 4*f - 4*c + 16 = 0 for f. -3 Suppose 5*d = -4*i + 36, -d - 2 + 7 = 3*i. Solve -9 = -d*t + 13*t + 3*p, 6 = 3*p for t. -3 Let z(w) = w**3 - 8*w**2 + 8*w - 4. Let n be z(7). Let a(m) = -m - 6. Let c be a(-17). Let l be (2 + 14/1)*c/22. Solve l = 4*i + h - 7, -h = -n*i + 6 for i. 3 Suppose -2*h + 3*z + 0*z - 24 = 0, 2*h - 2*z = -24. Let v be h/21 - (-984)/56. Solve -10 = -t + 4*o, -v = t - 0*o + 5*o for t. -2 Suppose 0 = -6*i + 10*i. Let y = 2 + i. Suppose -d = y*d. Solve -3*w = -5*c - 41 + 10, -4*c + 5*w - 30 = d for c. -5 Suppose -24 = 11*q - 19*q. Solve 5*v = 2*v + 5*w - 20, 0 = q*v - w + 16 for v. -5 Let h = 512 - 507. Solve -3*x + 18 = -3*f, h*f - 2*x + 0*x = -27 for f. -5 Suppose -3*h + 4*g + 222 = 0, -2*g - 12 = 2*g. Let v = 75 - h. Solve -22 = 4*l - q, -v*l + 8 = -2*q + 37 for l. -5 Let c = -12 + 6. Let l(q) = q**3 + 7*q**2 + 8*q + 7. Let k be l(c). Let b = 19 + k. Solve n = 2*j - 0*j + 6, 3*n - b = 5*j for j. -4 Let y(x) = -x + 5. Let a be y(5). Let b = 0 - a. Solve -4*z - 27 = -5*c, -c + b*z + 2*z = -9 for c. 3 Let q(u) = u. Suppose -2*c = 17 - 5. Let o be q(c). Let m be 3 + 0 - (7 + o). Solve -19 = -5*j + 6, -m*j = -2*r for r. 5 Suppose -73*o - 213 = -578. Solve o*i - 9 = -2*w + 6, 6 = -4*w + 2*i for w. 0 Let n be 12/15*(-5)/(-2). Let j(x) = x**2 + x - 2. Let l be j(n). Suppose p + 5 = 0, l*q - 3*p - 13 = 26. Solve 3*k = 4*k - 3*g + q, -5*k - g = -18 for k. 3 Let d(s) = 2*s + 6. Let h be d(-3). Suppose -60 = -5*v - 5*m, h = -5*v + m + 19 + 11. Solve x = -p + v, -5*p = -17 + 7 for x. 5 Let r be 0 + (-1 - -7 - 1). Let s(u) = u**3 - 20*u**2 - 20*u - 18. Let y be s(21). Solve -5*a - 3 = -x, 0 - 1 = y*x - r*a for x. -2 Let b be -6 - -20 - ((-2)/(-2) - 1). Let v(l) = -l - 9. Let x be v(-10). Let h = 6 - x. Solve 4*s - 2*p - b + 0 = 0, 0 = 3*s - h*p for s. 5 Let q be 0*(-5)/(-10)*-1. Suppose b = 16 - q. Solve 3*g - 9 = 3*u, 2*u = 2*g - 5*g - b for u. -5 Let a(g) = -g**2 - 2*g - 1. Let h be a(-1). Suppose h*x + 2*x = 4. Let u be x/7 - (-234)/14. Solve -2 = 4*o + 3*w + 3, 2*o - 5*w - u = 0 for o. 1 Suppose -5*d + 1 + 9 = 0. Solve 4*i - 3*o + 11 = 0, d*i - 2*o = 6*i - 14 for i. 1 Let g = -55 - -57. Suppose 28 = g*c + 2*q, c + 5 - 3 = 3*q. Solve -2*i - 24 = -4*j - 2, -c = -2*j for i. -1 Suppose 147 = 3*o + 2*o + 2*b, 4*o = -2*b + 118. Suppose -3*h + 4 = -o. Solve -l - 3*q + h = 0, -2*l + 2*q - 4*q = -14 for l. 5 Let u be 84/6 + -5 - 7. Solve u = -3*q + 4*w, 0*w = -3*q + 3*w for q. 2 Suppose -8*y = y - 72. Let p be y/8 + (1 - (-2 + 2)). Solve 3*u = -5*r + 2*u + 9, 9 = r + p*u for r. 1 Suppose 9*y = 6*y + 15. Solve -3*i - 3*k = -8*i - 28, -2*i - 5*k = y for i. -5 Suppose -2*y - 136 = 3*t - 7*t, -2*t +
{ "pile_set_name": "DM Mathematics" }
Let s(p) be the first derivative of 5/4*p**4 + 75*p**3 + 16875*p - l + 3375/2*p**2. Solve s(u) = 0. -15 Let m(c) be the first derivative of -c**4 + 104 - 44*c + 2*c**2 + 44/3*c**3. Let m(n) = 0. Calculate n. -1, 1, 11 Suppose -16*n - 548 = -1092. Let z(p) be the second derivative of -2*p**3 + 0*p**2 + 23/6*p**4 - n*p + 0 + 2/5*p**5. Let z(l) = 0. What is l? -6, 0, 1/4 Let b(h) be the first derivative of -h**5/5 - 431*h**4/4 + 433*h**3 - 1301*h**2/2 + 434*h + 4352. Factor b(k). -(k - 1)**3*(k + 434) What is h in -32/3*h + 65/6*h**2 + 2/3*h**5 + 2 + 0*h**3 - 17/6*h**4 = 0? -2, 1/4, 1, 2, 3 Let y = -47111 + 470711/10. Let i = y - -1671/40. Factor -9/4*n**3 - 3/8*n**5 + 0 - i*n**4 + 3/2*n**2 + 3*n. -3*n*(n - 1)*(n + 2)**3/8 Let s(v) = -4*v**3 + v**2 + 2*v - 1. Let x(f) = 26*f**3 + 85*f**2 - 864*f - 4993. Let q(d) = -7*s(d) - x(d). What is r in q(r) = 0? -4, 25 Let l(d) be the second derivative of 0*d**3 + 0*d**2 + 2/45*d**6 + 5 - 2/9*d**4 - 2*d - 1/15*d**5. Determine g so that l(g) = 0. -1, 0, 2 Suppose 3*m - 5*b + 1 - 26 = 0, 3*m + 3*b = 57. Suppose -132 = m*n - 17*n. Factor -60*d**2 + 131*d**2 - n*d**2. 5*d**2 Let c(m) be the third derivative of m**5/160 - 457*m**4/64 - 229*m**3/8 - 1379*m**2. Factor c(f). 3*(f - 458)*(f + 1)/8 Let j(h) = -h**3 - 5*h**2 - 5*h + 1. Let w be j(-4). Suppose 2*c - 4 = w*k, 0*c = 3*c - 5*k - 11. Factor -2*z**3 + z**2 - z**2 - 10 - 15*z + c*z**3. 5*(z - 2)*(z + 1)**2 Let p(z) = 2*z + 11*z + 110 + 0*z - 9*z + 5*z. Let d be p(-12). Factor 3/4*y**d + 9/4 - 3*y. 3*(y - 3)*(y - 1)/4 Let y = 38764166/47958375 - -14/125875. Let o = y + -18/127. Factor -o*z + 2/5*z**2 - 4/15. 2*(z - 2)*(3*z + 1)/15 Let d(r) be the third derivative of -799/30*r**5 + 230*r**2 - 3*r**4 + 0 + 76/3*r**3 + 0*r - 7/20*r**6. Find g, given that d(g) = 0. -38, -1/3, 2/7 Let s be (30/24 - 1)*2*4. Suppose -2*u = -s*u + u. What is i in 30*i**2 + 5*i - 40*i**3 + 10*i - 5 + u*i = 0? -1/2, 1/4, 1 Suppose 0 = 3*k + 6, j - 2*k - 4 = -j. Factor 0*s - 154 - 2*s**2 + 156 + j*s. -2*(s - 1)*(s + 1) Let x(z) be the third derivative of -z**6/100 + 2361*z**5/10 - 9290535*z**4/4 + 12186085075*z**3 + 11*z**2 + 2*z - 296. Factor x(d). -6*(d - 3935)**3/5 Suppose 0 = 13*f - 15*f + 96. Suppose 2*g + 2*g = f. Find j, given that -2*j - 4*j**3 - 11 - g*j**2 + 7 - 10*j = 0. -1 Let f(x) = -418*x**3 - 30*x**2 + 300*x - 648. Let r(z) = -35*z**3 + z**2 + z. Let s(m) = f(m) - 12*r(m). Factor s(g). 2*(g - 9)*(g - 6)**2 Let q(t) be the second derivative of 16/27*t**4 + 0 + 88*t + 0*t**2 - 1/189*t**7 - 4/15*t**5 + 8/135*t**6 - 16/27*t**3. Find s, given that q(s) = 0. 0, 2 Let l(y) be the first derivative of 2*y**3/11 - 279*y**2/11 - 640. Find b such that l(b) = 0. 0, 93 Let n(g) be the first derivative of -g**3/3 - 121*g**2 - 865. Let n(k) = 0. Calculate k. -242, 0 Let h(j) be the second derivative of j**6/2 + 127*j**5/4 - 1765*j**4/12 + 1565*j**3/6 - 225*j**2 - 29*j - 55. Find i such that h(i) = 0. -45, 2/3, 1 Let h(z) be the second derivative of -z**9/52920 - z**8/3920 - z**7/980 - 25*z**4/4 + 25*z. Let b(s) be the third derivative of h(s). Factor b(y). -2*y**2*(y + 3)**2/7 Suppose 45*f + 36 = 2*h + 47*f, -4*f + 88 = 8*h. Let 3*z - 51/4*z**h + 0 - 63/4*z**3 + 9*z**2 + 9*z**5 = 0. Calculate z. -1, -1/4, 0, 2/3, 2 Suppose 149*k + 5*y = 152*k + 6, -k + 4*y = 2. Let u be (23 - 21)/(k/(-3)). Factor 2/9*r**u + 0 + 2/9*r + 4/9*r**2. 2*r*(r + 1)**2/9 Let w(f) be the first derivative of f**5/40 - 7*f**4/32 - 9*f**3/8 - 29*f**2/16 - 5*f/4 - 1996. Factor w(a). (a - 10)*(a + 1)**3/8 Let b = 478/13 + -1330/39. Let j(i) be the first derivative of -1/2*i**2 - 18 - 4*i**4 + 0*i + b*i**3. Solve j(m) = 0. 0, 1/4 Let f(z) be the second derivative of -z**6/10 - 813*z**5/10 - 76101*z**4/4 - 360430*z**3 - 2653350*z**2 - 5214*z. Solve f(i) = 0 for i. -266, -5 Let i(f) be the second derivative of 47/33*f**3 + 22*f + 0 + 16/33*f**4 + 18/11*f**2 + 3/110*f**5. Factor i(g). 2*(g + 1)*(g + 9)*(3*g + 2)/11 Suppose l = 5*d - 8, 34*d + 4 = l + 35*d. Let j = 792 - 790. Determine p, given that j*p + 4/7*p**l + 8/7 - 2/7*p**3 = 0. -1, 4 Let d be ((-6)/4)/(2859/(-9530)). Factor 0*m - 56/3*m**2 - 64/3*m**3 - 2/3*m**d - 22/3*m**4 + 0. -2*m**2*(m + 2)**2*(m + 7)/3 Let j(x) be the second derivative of 1/90*x**6 - x - 1 - 1/60*x**5 - 1/36*x**4 + 1/18*x**3 + 0*x**2. Let j(w) = 0. What is w? -1, 0, 1 Suppose -4*v - 18 = -2*t, 3*t = -2*v + 6*t - 15. Let i(h) = -19*h - 57. Let u be i(v). Factor -2/13*b**2 + 0*b**3 + 0 + 2/13*b**4 + u*b. 2*b**2*(b - 1)*(b + 1)/13 Let u(i) = i**2 + 1338*i + 145202. Let z(q) = 6*q**2 + 9375*q + 1016415. Let j(m) = -15*u(m) + 2*z(m). Factor j(a). -3*(a + 220)**2 Let z(a) be the third derivative of a**6/12 + 25*a**5/12 - 235*a**4/24 - 175*a**3/3 + 3*a**2 - 73*a. Solve z(c) = 0. -14, -1, 5/2 Determine y so that -3*y**3 - 3/8*y**5 + 0*y**2 + 0 - 9/4*y**4 + 0*y = 0. -4, -2, 0 Let r = -935644 - -6549512/7. Determine p so that -2/7*p**4 + 6/7*p**2 - 8/7 - 8/7*p + r*p**3 = 0. -1, 2 Let f = -548/5 - -110. Let y = 28721/4 - 143597/20. Solve 0*b - y + f*b**2 = 0 for b. -1, 1 Let t = -3628 + 3640. Let n(b) be the third derivative of 43/20*b**6 - 73/40*b**5 - 44/35*b**7 - 1/4*b**3 + 0 + 0*b - t*b**2 + 2/7*b**8 + 7/8*b**4. Factor n(s). 3*(s - 1)**2*(4*s - 1)**3/2 Let 232/5*x - 2/5*x**2 - 46 = 0. What is x? 1, 115 Let f(w) be the first derivative of 8*w**5/5 - 17*w**4 + 136*w**3/3 - 50*w**2 + 24*w - 4477. Let f(z) = 0. What is z? 1/2, 1, 6 Suppose -30 = -79*j + 81*j. Let w be 4 + (-5)/(j/(-6)). Suppose -16*n**5 + 4*n + 20*n**3 - 8*n + 12*n**w - 12*n**4 + 0*n = 0. What is n? -1, 0, 1/4, 1 Suppose v + 3*v = 8. Let k(p) = -p**2 - 10*p - 13. Let o be k(-8). Factor 3*t**v + t - 11*t + 4*t**3 + t**o - 8*t**2. 5*t*(t - 2)*(t + 1) Let t(b) = -5*b**2 - 200*b - 2006. Let c(r) = 1. Let y be (-3)/(3/(-1) + 4) - -9. Let s(w) = y*c(w) + t(w). Solve s(z) = 0 for z. -20 Factor 3/7*x**2 - 228/7 - 225/7*x. 3*(x - 76)*(x + 1)/7 Let h be 65 - -502 - (-6)/(-2). Let k = -1690/3 + h. Let -k + 0*f**3 - 2/3*f**4 + 0*f + 4/3*f**2 = 0. Calculate f. -1, 1 Solve 7651*y - 2977 + 697949*y + 2977 + 4*y**3 + 3360*y**2 = 0. -420, 0 Suppose -3*k + 21 = -5*v, 10*k - 7*k - 3*v - 15 = 0. Suppose 10*t**3 - 14*t + 20*t**k + 12*t**3 - 24*t**3 - 36 = 0. What is t? -1, 2, 9 Let n = 60613 - 60610. Solve 0 - 38/7*v**2 - 2/7*v**4 + 22/7*v**n + 18/7*v = 0 for v. 0, 1, 9 Let m(a) = 3*a**2 - 2. Let o be m(0). Let b(l) = l**2 + 7*l + 14. Let p be b(o). Let -2*h + 10*h**4 + 2*h**3 - 1 - 9*h**4 + 0*h**p = 0. Calculate h. -1, 1 Find s such that -3/4*s**3 + 3531/2*s**2 + 0 - 4155987/4*s = 0. 0, 1177 Let h be 320/280*-35 - -42. Factor -10/3*b - h*b**2 - 4/3. -2*(b + 1)*(3*b + 2)/3 Let c(v) be the third derivative of v**8/336 - 419*v**7/84 + 68513*v**6/30 + 34322*v**5/15 - 11085*v**2. Factor c(o). o**2*(o - 524)**2*(2*o + 1)/2 Let q be 6/(-8)*320/(-120). Suppose 4*i = -3*j - 420 + 3947, 5*i - 4432 = 4*j. What is n in 877*n**3 + 2*n**q - i*n**3 - n + n = 0? 0, 2/7 Solve 998/9*y**2 - 2/9*y**4 + 56 + 244/9*y**3 + 1256/9*y = 0. -2, -1, 126 Let a be (2*12)/((-69)/184). Let o = a + 66. Factor 9*d**2 + 23*d**3 - 108*d + 108 - d**5 - o*d**5 - 9*d**4 + d**5 + 3*d**5. (d - 3)**3*(d - 2)*(d + 2) Let n be 0/(225/(-675)*-1*(-2 + 5)). Factor n - 288*f + 144*f**2 + 2/3*f**4 - 18*f**3. 2*f*(f - 12)**2*(f - 3)/3 Let v(z) = 6*z**3 - 47*z**2 + 265*z + 5. Let d(p) = -p**3 - 2*p**2 - p - 1. Let r(t) = 10*d(t) + 2*v(t). Factor r(f). 2*f*(f - 52)*(f - 5) Determine b, given that -19/4*b**4 - 169/4*b**3 - 62*b**2 + 0 + 7*b = 0. -7, -2, 0, 2/19 Let f = -194943/4 + 48737. Find l, given that 0*l**3 + 1 - f*l**2 + 0*l + 1/4*l**4 = 0. -2, -1, 1, 2 Find m such that -1/2*m**2 + 117/2 + 18*m = 0. -3, 39 Let z(s) be the third derivative of -s**7/2415 - s**6/690 + 2*s**5/115 - 7*s**4/138 + 5*s**3/69 - 408*s**2. Let z(i) = 0. Calculate i. -5, 1 Find y such that y**4 - 2891*y - 1 - 25*y**2 - 46 - 13 + 19*y**3 + 2788*y = 0. -20, -1, 3 Let f be 2 - (-28 - (8 - 13)). Let c(g) be the second derivative of 0 - 7/90*g**5 - 1/27*g**4 + 0*g**3 + 0*g**2 + f*g. Find b such that c(b) = 0. -2/7, 0 Let c(m) be the second derivative of 1/18*m**3 + 0 - 1/144*m**4 + 20*m + 1/720*m**6 - 1/180*m**5 + m**2. Let r(k) be the first derivative of c(k). Factor r(a). (a - 2)*(a - 1)*(a + 1)/6 Suppose -8*w + 7*w = 174. Let
{ "pile_set_name": "DM Mathematics" }
*o*t**2 + 1211*o - 6*t**4 - t wrt t? -6*o*t + 584*o - 72*t**2 Find the second derivative of 85*l**2 - 597*l wrt l. 170 Find the first derivative of 88*r**4 + 190. 352*r**3 Differentiate -2*c**3*m*x**3 - 19*c**3*m*x**2 - 144*c**3 - x**3 wrt m. -2*c**3*x**3 - 19*c**3*x**2 What is the third derivative of -6762*c**3 + 6949*c**2 wrt c? -40572 Find the third derivative of 57*q**5*u + 11*q**3*u - 75*q**2 - 6*q*u + 2 wrt q. 3420*q**2*u + 66*u Differentiate 287*p - 278. 287 What is the third derivative of 289*h**3*v**3 - 3*h**2 + 133*h*v**3 wrt h? 1734*v**3 Differentiate c*p*y**3 - 35*c*p + 6*p*y**2 + 4*y**3 + 1 with respect to c. p*y**3 - 35*p Find the third derivative of 14175*p**5 - 7*p**2 + 632*p wrt p. 850500*p**2 What is the first derivative of -3*h**3 - 20*h**2 + 340? -9*h**2 - 40*h What is the second derivative of -2*q**5 - 4400*q**4 - 3*q + 492? -40*q**3 - 52800*q**2 Find the second derivative of 225*g**2 - 2*g - 145 wrt g. 450 What is the derivative of -s**3 + 79*s**2*y + 12*s*y + 12314*y wrt s? -3*s**2 + 158*s*y + 12*y Find the second derivative of 391*l**2 - 4*l - 53. 782 What is the third derivative of -6*a**3*h**4 + 10*a**3*h**3 - 3*a**3 + 259*a**2*h**2 - h**4 wrt h? -144*a**3*h + 60*a**3 - 24*h What is the third derivative of 20*a**2*g**3 + 110*a**2*g**2 - 3*a**2 + 30*g**3 wrt g? 120*a**2 + 180 What is the third derivative of -126*v**5 + 4*v**3*z - 2*v**2*z - 9*v*z wrt v? -7560*v**2 + 24*z Find the third derivative of 9*j**3*y**3 + 2*j**3*y**2 - j**3 + 28*y**3 - y**2 - 23*y wrt y. 54*j**3 + 168 Find the third derivative of 7*b*u**4 - 9*b*u**3 + 2*b*u**2 + 132 wrt u. 168*b*u - 54*b Find the third derivative of 21*f*i**4 + 42*f*i**3 - 38*f*i**2 - f*i + 3*f wrt i. 504*f*i + 252*f What is the third derivative of 5358*m*u**3 + 3*m*u**2 + 207*u**2 wrt u? 32148*m Find the second derivative of -2*i**3*o**2 - 2*i**3 + 16*i**2*o**2 - 88*i*o**2 - 2*i*o - 24*o wrt o. -4*i**3 + 32*i**2 - 176*i What is the second derivative of 120*b**2*m**2*p**2 - 6*b**2*m**2 + 7*b*m**2*p**2 - b*m + m*p**2 - 71*p**2 wrt b? 240*m**2*p**2 - 12*m**2 Find the third derivative of -54*t**4 - 66*t**2 + 2 wrt t. -1296*t Find the third derivative of 208*h**5 - 90*h**2. 12480*h**2 Find the first derivative of 2*f**3 + 1357*f + 4864 wrt f. 6*f**2 + 1357 Find the third derivative of -c**4*m - 32*c**4 - c**3 + 2*c**2 + 11*m wrt c. -24*c*m - 768*c - 6 Find the first derivative of -9*c*h**2*v - c*h**2 - 40*c - 4*h**2*v + h**2 wrt v. -9*c*h**2 - 4*h**2 What is the second derivative of -598*j**2*s**3 - j**2*s**2 + 2367*j**2*s wrt s? -3588*j**2*s - 2*j**2 Find the third derivative of -f*m*r**3*t**2 + 5*f*m*r**2*t - 2*f*r**3*t + 52*m*r**3*t + 2*m - 16*r**2*t**2 wrt r. -6*f*m*t**2 - 12*f*t + 312*m*t What is the derivative of -18*a**2*k**2 - 43*a**2*p - 4*a*k**2*p + 7*a*p - 2*k**2 wrt k? -36*a**2*k - 8*a*k*p - 4*k Find the second derivative of 81*d*f**2*u**2 + 7*d*f*u + 4*d*u**2 + 5*f**2*u**2 + 3*f*u**2 wrt f. 162*d*u**2 + 10*u**2 What is the derivative of 2*g**4*n**3 + 97*g*n**3 + 178*n**3 + n**2 wrt g? 8*g**3*n**3 + 97*n**3 Differentiate 318*l**3*q + 76*q wrt l. 954*l**2*q Differentiate -1054*h*j + 4*h + 42 wrt j. -1054*h What is the third derivative of 2277*h**3 + 274*h**2 - 4? 13662 What is the third derivative of -2838*q*z**3 - 1795*q*z**2 + 2*z**4 + z**2 wrt z? -17028*q + 48*z Find the second derivative of 2420*w**2 - 889*w + 2 wrt w. 4840 What is the derivative of 341*p**2*u**2 + 92*u**2 wrt p? 682*p*u**2 What is the first derivative of 73*c*j - c - 13*j - 19 wrt c? 73*j - 1 Find the third derivative of 194*i**6 - 9*i**2 - 3 wrt i. 23280*i**3 What is the second derivative of -b**3*j - 4*b**3 + 5*b**2*j - 11*b**2 - 3*b*j + 3*b - j + 6 wrt b? -6*b*j - 24*b + 10*j - 22 Differentiate 1251*q**3 + 65. 3753*q**2 What is the second derivative of 2550*s**3*x**2 - 4*s**3*x - 340*s*x wrt x? 5100*s**3 What is the second derivative of -12*c**3*s**2 + 2*c**2*s**3 + 4*c**2*u + 7*c*s**3*u - 15*c*u - 2*s**3*u - 2*s wrt c? -72*c*s**2 + 4*s**3 + 8*u Find the third derivative of -3153*k**3*q**2*s + k**2*q*s + 228*k*q**2 + 2*q**2 + q wrt k. -18918*q**2*s Find the third derivative of p**5*q - 2*p**4*q + 125*p**4 - 5*p**2*q + 53*p**2 - 2*p wrt p. 60*p**2*q - 48*p*q + 3000*p What is the second derivative of r**3 - 2242*r**2 + 5265*r? 6*r - 4484 Find the third derivative of -3*m**6 - 12*m**3 + 90*m**2. -360*m**3 - 72 Differentiate -6*b**3 - 11*b**2 - 59 with respect to b. -18*b**2 - 22*b What is the third derivative of 14*j**2*l**3 - 219*j**2 - 2*j*l**2 + 8*l**3 wrt l? 84*j**2 + 48 What is the third derivative of -1950*b**3 + b**2 - 1813*b wrt b? -11700 Differentiate h**2*k + 4955*h**2 - 1599*h*k wrt k. h**2 - 1599*h Find the second derivative of -l**2*t**3*w + 10*l**2*t**2 - 9*l**2*w - 69*l*t**3*w - 4*l*t + 2*l*w wrt l. -2*t**3*w + 20*t**2 - 18*w Find the second derivative of -114*l**3 - 58*l wrt l. -684*l What is the third derivative of -7*c**3*u**3 - 79*c**3*u + c*d**2*u**2 - 136*d**2*u**3 + 2*d**2 wrt u? -42*c**3 - 816*d**2 Find the first derivative of -232*p**2*x - 807*p**2 + 6*p*x**2 wrt x. -232*p**2 + 12*p*x What is the first derivative of 1142*x - 306 wrt x? 1142 What is the third derivative of -2*y**5 + 3*y**4 + 7*y**3 + 16048*y**2? -120*y**2 + 72*y + 42 What is the derivative of -41*r**3 - 3*r - 1110 wrt r? -123*r**2 - 3 Find the third derivative of 41*f*k**4 + 5*f*k**3 + 2*f*k**2 - f*k + k wrt k. 984*f*k + 30*f Find the third derivative of -12*d**5 + 4*d**3 - 150*d**2 wrt d. -720*d**2 + 24 What is the first derivative of 7*p**3*z**2 - 214*p**3 + 11*p*z wrt z? 14*p**3*z + 11*p Find the third derivative of -6085*c**3 + 4*c**2 - c - 32. -36510 What is the third derivative of t**4 - 1313*t**3 + 8*t**2 + 12 wrt t? 24*t - 7878 Find the second derivative of -8*o**5 + 10*o**2*p**3 - 4*o*p**3 + 90*o*p wrt o. -160*o**3 + 20*p**3 What is the derivative of 23*d**3*j*k + 4*d**3*j - 7*d**3*k - 2*d**2*j*k - d**2 - 106*j wrt k? 23*d**3*j - 7*d**3 - 2*d**2*j What is the third derivative of 4727*c**3*r - 2*c**2*r - c**2 - c*r - 101*c wrt c? 28362*r What is the second derivative of 2*i**2*w**3 + 123*i**2 - 7774*i*w**3 + w**2 wrt i? 4*w**3 + 246 What is the first derivative of -2538*u - 828? -2538 What is the second derivative of 5588*f**3*t**2 - f**3 - 2*f*t**2 - 13*f - 1 wrt f? 33528*f*t**2 - 6*f Find the second derivative of -10055*t**2 - 4*t + 684 wrt t. -20110 What is the second derivative of 9202*t**2*x - 37*t*x + 3*t - x wrt t? 18404*x What is the third derivative of v**5 + 347*v**4 - 34*v**2 - 12? 60*v**2 + 8328*v Find the first derivative of 30*d**4 - 1 wrt d. 120*d**3 What is the first derivative of -z**3 - 177*z**2 - 301 wrt z? -3*z**2 - 354*z Find the third derivative of 3*c*n**3 + 27*c*n - n**3 + 3*n**2 + 2 wrt n. 18*c - 6 What is the first derivative of 16609*o*y + 18737*y wrt o? 16609*y What is the derivative of -18216*i + 13668 wrt i? -18216 Find the third derivative of 5*f**4*x**2 + 3*f**4*x + f**2 + 22*f*x**2 - 3 wrt f. 120*f*x**2 + 72*f*x Find the second derivative of 1791*c*d**2 - 1067*c*d wrt d. 3582*c What is the third derivative of -3*b**5 - 450*b**4 + 3*b**2 - 4*b + 80 wrt b? -180*b**2 - 10800*b What is the third derivative of 823*b**3 + 50*b**2 - 3 wrt b? 4938 Find the second derivative of 81*o**4 - 123*o. 972*o**2 What is the third derivative of 730*r**6 - r**5*s + 2*r**2*s + 55*r**2 + r*s wrt r? 87600*r**3 - 60*r**2*s Find the third derivative of -158*r**3 + 126*r**2 wrt r. -948 What is the second derivative of -2*l*u**3 + 8*l*u**2*v + l*u*v - 62*l*u + 4*u**3*v - v wrt u? -12*l*u + 16*l*v + 24*u*v Differentiate -1136*i + 4550 wrt i. -1136 What is the third derivative of -12*n*o**6 + 12*n*o**5 - 5*n*o + 10*n - 2*o**3 - 2*o**2 wrt o? -1440*n*o**3 + 720*n*o**2 - 12 Find the second derivative of 14491*f**3 + 14636*f wrt f. 86946*f Find the second derivative of -319*d**4 - 839*d - 1 wrt d. -3828*d**2 Find the third derivative of -3*h**5 + 2437*h**3 - 16419*h**2 wrt h. -180*h**2 + 14622 Find the third derivative of -9024*m**3 - 10083*m**2. -54144 Find the third derivative of 183*b**3*m**3 - 2*b**3 - 86*b**2*m**2 wrt m. 1098*b**3 Differentiate 12491*d**3 + 4788 wrt d. 37473*d**2 What is the derivative of 2*y**4 + y**3 - 64*y**2 + 9404 wrt y? 8*y**3 + 3*y**2 - 128*y What is the third derivat
{ "pile_set_name": "DM Mathematics" }
thousands digit of 4834? 4 What is the tens digit of 101? 0 What is the thousands digit of 8397? 8 What is the hundreds digit of 1060? 0 What is the tens digit of 8296? 9 What is the hundreds digit of 326? 3 What is the thousands digit of 1176? 1 What is the thousands digit of 5338? 5 What is the tens digit of 5334? 3 What is the ten thousands digit of 16595? 1 What is the tens digit of 10608? 0 What is the hundreds digit of 5340? 3 What is the thousands digit of 1838? 1 What is the tens digit of 13640? 4 What is the units digit of 360? 0 What is the tens digit of 13887? 8 What is the units digit of 2053? 3 What is the units digit of 119? 9 What is the tens digit of 1886? 8 What is the units digit of 31497? 7 What is the thousands digit of 17404? 7 What is the thousands digit of 1842? 1 What is the hundreds digit of 13733? 7 What is the tens digit of 1290? 9 What is the thousands digit of 1636? 1 What is the tens digit of 26851? 5 What is the hundreds digit of 8474? 4 What is the thousands digit of 28114? 8 What is the hundreds digit of 92881? 8 What is the tens digit of 10918? 1 What is the thousands digit of 23654? 3 What is the units digit of 4192? 2 What is the tens digit of 36362? 6 What is the tens digit of 240? 4 What is the hundreds digit of 46256? 2 What is the hundreds digit of 1083? 0 What is the units digit of 154780? 0 What is the units digit of 3? 3 What is the thousands digit of 7024? 7 What is the thousands digit of 72900? 2 What is the units digit of 45053? 3 What is the hundreds digit of 363? 3 What is the thousands digit of 1292? 1 What is the tens digit of 3434? 3 What is the tens digit of 5473? 7 What is the tens digit of 786? 8 What is the thousands digit of 122808? 2 What is the hundreds digit of 43106? 1 What is the tens digit of 7764? 6 What is the ten thousands digit of 46090? 4 What is the tens digit of 882? 8 What is the tens digit of 5448? 4 What is the hundreds digit of 74108? 1 What is the units digit of 73? 3 What is the tens digit of 11960? 6 What is the units digit of 39724? 4 What is the tens digit of 3204? 0 What is the thousands digit of 86513? 6 What is the hundreds digit of 1476? 4 What is the units digit of 1430? 0 What is the tens digit of 1094? 9 What is the thousands digit of 1302? 1 What is the thousands digit of 2893? 2 What is the ten thousands digit of 25792? 2 What is the hundreds digit of 2394? 3 What is the hundred thousands digit of 174962? 1 What is the hundreds digit of 684? 6 What is the tens digit of 2226? 2 What is the hundreds digit of 246? 2 What is the hundreds digit of 354? 3 What is the thousands digit of 1553? 1 What is the hundreds digit of 54737? 7 What is the units digit of 198? 8 What is the thousands digit of 2613? 2 What is the thousands digit of 1517? 1 What is the tens digit of 127358? 5 What is the tens digit of 1414? 1 What is the thousands digit of 1465? 1 What is the hundreds digit of 21150? 1 What is the tens digit of 3360? 6 What is the ten thousands digit of 26081? 2 What is the tens digit of 2358? 5 What is the ten thousands digit of 29439? 2 What is the units digit of 3742? 2 What is the tens digit of 1641? 4 What is the tens digit of 131? 3 What is the hundreds digit of 6182? 1 What is the thousands digit of 8353? 8 What is the hundreds digit of 1440? 4 What is the thousands digit of 49358? 9 What is the hundreds digit of 146688? 6 What is the units digit of 996? 6 What is the ten thousands digit of 58225? 5 What is the hundreds digit of 2602? 6 What is the units digit of 851? 1 What is the hundreds digit of 617? 6 What is the units digit of 7331? 1 What is the ten thousands digit of 135353? 3 What is the units digit of 852? 2 What is the units digit of 3176? 6 What is the units digit of 841? 1 What is the thousands digit of 5988? 5 What is the units digit of 1006? 6 What is the thousands digit of 28099? 8 What is the hundreds digit of 129955? 9 What is the ten thousands digit of 16845? 1 What is the units digit of 748? 8 What is the tens digit of 1174? 7 What is the hundreds digit of 220? 2 What is the tens digit of 4018? 1 What is the thousands digit of 3387? 3 What is the thousands digit of 2173? 2 What is the units digit of 1774? 4 What is the ten thousands digit of 14733? 1 What is the ten thousands digit of 10581? 1 What is the units digit of 8823? 3 What is the tens digit of 243? 4 What is the units digit of 4238? 8 What is the tens digit of 699? 9 What is the tens digit of 7309? 0 What is the hundreds digit of 7224? 2 What is the ten thousands digit of 19505? 1 What is the tens digit of 91048? 4 What is the thousands digit of 10390? 0 What is the units digit of 16213? 3 What is the units digit of 4? 4 What is the ten thousands digit of 77954? 7 What is the tens digit of 58236? 3 What is the tens digit of 33628? 2 What is the tens digit of 18352? 5 What is the tens digit of 2810? 1 What is the tens digit of 17322? 2 What is the tens digit of 4522? 2 What is the thousands digit of 2383? 2 What is the tens digit of 164519? 1 What is the hundreds digit of 551? 5 What is the hundreds digit of 123134? 1 What is the tens digit of 620? 2 What is the hundreds digit of 156823? 8 What is the units digit of 51? 1 What is the hundreds digit of 67849? 8 What is the tens digit of 501? 0 What is the hundreds digit of 457? 4 What is the units digit of 43264? 4 What is the tens digit of 4393? 9 What is the units digit of 25656? 6 What is the units digit of 117500? 0 What is the ten thousands digit of 10667? 1 What is the tens digit of 98269? 6 What is the tens digit of 1539? 3 What is the thousands digit of 80716? 0 What is the tens digit of 22078? 7 What is the thousands digit of 2236? 2 What is the ten thousands digit of 82222? 8 What is the tens digit of 21413? 1 What is the units digit of 9541? 1 What is the ten thousands digit of 41556? 4 What is the thousands digit of 14603? 4 What is the tens digit of 3239? 3 What is the thousands digit of 20007? 0 What is the tens digit of 48587? 8 What is the units digit of 747? 7 What is the tens digit of 40537? 3 What is the hundreds digit of 27079? 0 What is the thousands digit of 19870? 9 What is the units digit of 4200? 0 What is the hundreds digit of 16778? 7 What is the tens digit of 921? 2 What is the hundreds digit of 171478? 4 What is the units digit of 945? 5 What is the tens digit of 2573? 7 What is the units digit of 1250? 0 What is the thousands digit of 4031? 4 What is the units digit of 5391? 1 What is the units digit of 20982? 2 What is the tens digit of 1911? 1 What is the units digit of 9259? 9 What is the hundreds digit of 6607? 6 What is the hundreds digit of 27114? 1 What is the units digit of 51696? 6 What is the ten thousands digit of 40361? 4 What is the units digit of 3600? 0 What is the tens digit of 3451? 5 What is the hundreds digit of 1658? 6 What is the units digit of 2073? 3 What is the thousands digit of 5089? 5 What is the thousands digit of 6550? 6 What is the ten thousands digit of 52769? 5 What is the tens digit of 24022? 2 What is the thousands digit of 2808? 2 What is the units digit of 23607? 7 What is the units digit of 4226? 6 What is the units digit of 1? 1 What is the tens digit of 2363? 6 What is the units digit of 1769? 9 What is the thousands digit of 21579? 1 What is the units digit of 4652? 2 What is the units digit of 4916? 6 What is the thousands digit of 38123? 8 What is the thousands digit of 69929? 9 What is the units digit of 2556? 6 What is the tens digit of 730? 3 What is the ten thousands digit of 109619? 0 What is the units digit of 78068? 8 What is the ten thousands digit of 99346? 9 What is the units digit of 23325? 5 What is the thousands digit of 9128? 9 What is the tens digit of 249? 4 What is the units digit of 2850? 0 What is the thousands digit of 4699? 4 What is the thousands digit of 2280? 2 What is the units digit of 30? 0 What is the units digit of 9266? 6 What is the thousands digit of 10079? 0 What is the hundreds digit of 1191? 1 What is the hundreds digit of 55357? 3 What is the units digit of 16784? 4 What is the thousands digit of 1538? 1 What is the ten thousands digit of 15000? 1 What is the units digit of 5152? 2 What is the hundreds digit of 2384?
{ "pile_set_name": "DM Mathematics" }
- 5*n**2 + (0*n + 2*n - n)*(4*n - 2*n - 4*n) + 0*n**2 + 3*n**2 - 2*n**2 to a + c*n**2 + o*n and give a. 0 Express (4*z - 2*z - 3*z)*(63 - 47 - 88) in the form t*z + r and give t. 72 Express -6*q**4 - 7*q + 7*q**3 + 42*q**4 - 4*q**3 + 5*q - 2*q**4 as w*q**4 + a*q**2 + p*q + v + j*q**3 and give v. 0 Express -4*h - 4*h**2 + 0*h + 133*h**3 + 3*h**2 - 152*h**3 + 2*h**4 in the form w*h**4 + n + a*h + i*h**2 + y*h**3 and give i. -1 Rearrange (8*y + 4*y + 0*y)*(-5*y - 1 + 5*y - y) to the form a + c*y**2 + p*y and give p. -12 Rearrange 208*w + 20 + 5 - 23 - 48*w to the form o + u*w and give o. 2 Rearrange 11*i**2 - i - 2 - 47*i**2 - i + 2*i**3 + 33*i**2 to l*i + u + d*i**3 + c*i**2 and give c. -3 Rearrange (-35*m + 22*m + 8*m + 2*m)*(2*m - 2 + 2) to the form j + q*m + h*m**2 and give q. 0 Rearrange -2*r**4 - 2*r**4 + r**4 + (-47*r**2 + 18*r**3 + 47*r**2)*(5*r - 3*r - r)*(5 - 2 - 5) to g + n*r**4 + k*r**3 + d*r**2 + b*r and give d. 0 Express -3*j + 178*j - 50*j + 186*j in the form h*j + c and give h. 311 Express -2 + 2*b**2 - 17 + 10 as c + l*b + m*b**2 and give c. -9 Express z + 2*z - 5*z + 6*z - 2*z - 2*z + (2 - 1 - 4)*(z + 0*z - 8*z) + z + 3*z + 4*z in the form v*z + x and give v. 29 Rearrange -d**3 - 14 - 15 - 13 - 15*d + 2*d**2 + 43 + 3*d**4 - d**4 to s + i*d**3 + p*d**4 + r*d + g*d**2 and give p. 2 Rearrange 25*j - 59*j + 10*j - 89 + 27*j to k*j + w and give w. -89 Express 0 + 0 + z + (0 + 0 - 2)*(-z - 2*z + 12*z) + 2*z - 2*z - 7*z + (0 + 1 + 2)*(1 - 1 - 2*z) in the form k*z + r and give k. -30 Express 750*s - 5*s**2 - 372*s - 378*s - 8 + 21 - 6*s**3 as t*s + j*s**2 + p*s**3 + o and give p. -6 Express -p**3 + 5*p**3 - 3*p**3 + (1 + 4 - 3)*(-3*p - 2*p**3 + 3*p) + (4*p**2 - p**2 + 0*p**2)*(-113*p + 207*p + 176*p) as a*p**3 + y*p + h + m*p**2 and give a. 807 Express (-2 - 3 + 4)*(-5*i + i + 5*i) + 4823*i + 4821*i + 322 - 9645*i as x*i + k and give k. 322 Express (3*l + 5 - 4 + 1)*(-2 - 1 - 3) + 8*l - 4*l + 3*l + 2*l - l - 2*l as b*l + g and give b. -12 Express -22*g - 16*g + 65*g - 13*g - 18*g + g**2 + 35*g**3 in the form i*g**2 + s*g**3 + d + m*g and give i. 1 Express -307*t - 213*t - 460*t + 1283*t in the form q*t + d and give q. 303 Express 16*p + p**4 + 4*p**2 - 2*p**4 - 15*p + 2*p**3 - 3*p**4 - 2*p**4 + 3 in the form c*p**4 + k + o*p + j*p**3 + y*p**2 and give k. 3 Rearrange (17*l - 17*l - 18*l**2)*(-3 + 6 - 2)*(2 + 0 - 3) + 43 - 43 - 14*l**2 to v*l + g*l**2 + h and give g. 4 Rearrange 7*v + 2*v**2 + 3*v**4 - 12*v**3 + 8*v**3 + 1 + 28*v**3 - 10*v to the form d*v**4 + o*v**2 + x*v**3 + i + k*v and give k. -3 Rearrange (-3*k + 3*k - 2*k + (-2 - 2 + 2)*(k - 2*k + 2*k) + 0*k + 0*k - 4*k + 8*k - 8*k + 15*k)*(k + 4*k - 2*k) to the form y*k + z + a*k**2 and give a. 21 Express -122 - 6*v**2 + 112 - 4*v + 5*v**2 - v**4 as a*v**3 + o + n*v**2 + j*v**4 + q*v and give q. -4 Rearrange -7 - 2 + 2 - z**2 + (-2 + 0 + 3)*(5*z**2 + 0*z**2 + 7*z**2) to the form k*z + d*z**2 + m and give m. -7 Express -156 + 156 - 145*v as a*v + p and give p. 0 Express 20*x - 54*x - 1 + 110*x in the form f*x + w and give w. -1 Rearrange 21*c**3 - 22*c**3 - 17 - 43 to f*c + h*c**3 + z*c**2 + y and give y. -60 Express 3 - 1894*w - 3 + 4765*w + 0 as z*w + s and give z. 2871 Express 663 + q**2 - 3*q + 2*q - 657 + 2*q**3 in the form t*q + p + m*q**3 + z*q**2 and give m. 2 Express -6 + 4 - 2 + 3 + 2 - 135*n as g + o*n and give g. 1 Rearrange (-1 - 1 + 0 + (-4 + 1 + 2)*(4 - 1 - 1) + 0 + 4 - 3 + 3 - 4 - 1)*(15*r - 70*r + 16*r)*(2 - 3 + 2) - 2*r + 4*r - 3*r to the form f + x*r and give x. 194 Rearrange -38*s - 35*s + 72*s - 96 - 32 to the form o + h*s and give h. -1 Rearrange 3*m**2 - 7*m**2 + 2*m**2 + (-m + 0*m - 2*m)*(27*m - 18*m + 5*m) to r + d*m**2 + s*m and give s. 0 Express j**4 + 2 + 919*j**2 - j**3 - 919*j**2 - 12*j in the form t*j**2 + d + q*j**3 + f*j + i*j**4 and give d. 2 Express 23496 - 713*g**2 + 145*g**2 - 23496 as s*g**2 + h*g + k and give s. -568 Rearrange (2*b + 0*b - b)*(3 - 3 - 1) + 1 - 2*b - 1 - 32 + 32 + 117*b to the form l*b + j and give l. 114 Rearrange -n - 16*n + n + (2 - 3 - 1)*(-n - 2 + 2) - 3*n + 6*n - 4*n to the form o*n + f and give o. -15 Express (3*m - 5*m - m)*(-8*m - m**2 + 31*m - 30*m + (2*m - 5*m + m)*(-m + 0*m - m)) as w*m**2 + j*m**3 + n + a*m and give j. -9 Express -2*s**3 + 51*s**2 + s - 102*s**2 + 23*s**2 + 53*s**2 + s**4 - 1 + 28*s**2 as i*s**3 + r + w*s**4 + n*s**2 + b*s and give b. 1 Rearrange -1463*h**2 - 16*h**2 + 42*h**2 to k + j*h + t*h**2 and give t. -1437 Express 1 - k - 3 - 50*k**3 + 62*k**3 in the form m*k + j*k**2 + d*k**3 + l and give l. -2 Express (-2490*p**2 + 1246*p**2 + 1247*p**2 + 111*p + 1)*(p**2 - 4*p + 4*p) as r*p**4 + n*p**2 + q*p + t + j*p**3 and give t. 0 Express 4*x**4 + 6 + 4 + 1 + 2*x**2 - x**4 - 10 + x**3 - 8*x in the form d*x**2 + t*x**3 + j*x**4 + o*x + s and give j. 3 Rearrange -23*p - 218*p + 40*p + 30*p to c + m*p and give m. -171 Express (2*b - 52 + 52 - 31*b**2)*(-4 + 2 - 2) in the form c*b**2 + w + x*b and give c. 124 Express -246*o**2 - 3 + 3*o**3 + 245*o**2 + 0 - 4*o as c*o**2 + m*o**3 + h*o + q and give c. -1 Rearrange 4*a + 16346*a**3 - 16347*a**3 - 2 + 24*a + 7*a + 2*a**2 to the form b*a**2 + o + v*a + z*a**3 and give b. 2 Express 0*d + 2*d**2 - 6*d + 4*d - 53*d**2 + 2*d**2 as t*d + h + q*d**2 and give t. -2 Express 2*z**2 - 2*z**2 - 41*z + 2*z**2 - 59*z - 32*z in the form y*z + k + v*z**2 and give y. -132 Rearrange -16*t**3 + 9 - t - 25*t**2 + 15*t**3 - 10 to n + z*t**3 + w*t + p*t**2 and give w. -1 Express -2*s**3 + 6*s + 2*s**2 - 36 + 3*s + 66 - 29 in the form r + h*s + g*s**3 + z*s**2 and give r. 1 Rearrange (2 - 2 + 2*b)*(21*b + 24*b - 10*b) + (2*b + 2*b - 6*b)*(4*b - 4*b - b) to j + o*b**2 + t*b and give o. 72 Rearrange (3 - 7*q**3 + q - q**2 - 28*q**2 + 33*q**2)*(-q + 2*q - 3*q) to the form v*q**3 + d*q**4 + o*q**2 + k*q + l and give o. -2 Rearrange 24*h - 7*h - h**3 - 8*h - 9*h + 46 + h**4 to v*h + p*h**3 + t + r*h**4 + d*h**2 and give r. 1 Rearrange -2 + 159*r + 37*r - 67*r to x + h*r and give h. 129 Express -r**3 - 1 - 6*r**2 - 6*r**2 - 9*r**4 - 12*r**4 + 20*r**4 as s*r**3 + z + m*r + q*r**4 + a*r**2 and give q. -1 Rearrange 57*g**2 + 2*g + 62*g**2 - 120*g**2 + 8*g**4 to the form b*g**2 + t + i*g**3 + w*g + o*g**4 and give b. -1 Rearrange 9*p**3 - 2*p**3 - 4*p**3 - 4*p**3 + p**3 + 11*p**3 + (0*p + 3*p - 2*p)*(2*p**2 + 4*p - 4*p) to y + t*p**3 + x*p + g*p**2 and give t. 13 Express (-1 + 18 + 26)*(-18*k + 21*k - 11*k) as r*k + n and give r. -344 Rearrange -2126*t + 1078*t - 29 + 1075*t to g*t + b and give b. -29 Express (4 - 4 + 2)*(5*z + 3*z + 28*z + (3 + 2*z - 3)*(-1 + 2 - 2) - 1 + 1 + 2*z) in the form x + j*z and give j. 72 Rearrange (1 - 2*b**2 - 1)*(-b - 2*b + b) - b**3 + b**3 - b**3 + (-5*b**2 + 3*b**2 - 2*b**2)*(35 + 7*b - 35) to the form z*b + j*b**3 + h + u*b**2 and give j. -25 Rearrange -24 + 59*x**2 + 0*x + 0*x - 62*x**2 to the form y*x + m*x**2 + a and give m. -3 Express 43*r - 51 - 30 - 41*r as x + c*r and give c. 2 Express 10*q**2 + 148*q**3 - 6*q**2 - 151*q**3 + 3*q**4 in the form f*q**2 + p*q**4 + s + w*q + y*q**3 and give y. -3 Rearrange 50*u**4 + 1 - 100*u + 206*u + 80*u**4 - 109*u to the form l*u**2 + r + k*u + h*u**3 + g*u**4 and give g. 130 Rearrange 241 - m**4 - 118 - 124 + 13*m - 2*m**4 to z*m**3 + y*m**2 + d + o*m**4 + p*m and give p. 13 Express -69 + 24 + 29 + 20 + 47*x as p + n*x and give p. 4 Rearrange -257 + 517 - 260 - 195*h to o + f*h and give f. -195 Rearrange (136 + 163 - 241)*(-20*w + 62*w - 8*w) to the form i*w + z and give i. 1972 Express (3 - 2 - 2)*(1 - 3 - 13)*(-2 - 1 + 0)*(5*i - 2*i - 2*i) in the form y*i + q and give y. -45 Rearrange 1 - 70*k + 160*k + 4 - 66*k to d + a*k and give d. 5 Express ((5 - 2 - 5)*(0*a + a + a) - 5*a - a + 5*a)*(-1 + 6 - 4 + (-7 - 2 + 3)*(-1 - 4 + 3)) in the form j + i*a and give i. -65 Rearrange -5*o**3 - 2*o**2 - 64 - 5*o**4 + 3*o**4 - 2*o + 71 to the form z*o**4 + v*o + w*o**3 + j*o**2 + x and give v. -2 Rearrange -w + w**3 + 51 + 2*w**3 - 50 - 2*w**4 to the form d*w**3 + i + y*w**2 + j*w + b*w**4 and give b. -2 Rearrange (2 - 4 + 1)*(-j - 2*j + 0*j + (0*j - 4*j + 0*j)*(-4 + 3 + 4)) + j - j + j to n + c*j and give n. 0 Express -12 - 5 + i**2 - 2*i - 40 + i as k*i + g + s*i**2 and give s. 1 Rearrange -18*a**2 + 187*a**2 + 139*a*
{ "pile_set_name": "DM Mathematics" }
at is the remainder when 5246402 is divided by 674? 660 What is the remainder when 7221571 is divided by 218828? 247 What is the remainder when 2381164 is divided by 687? 22 Calculate the remainder when 12993 is divided by 933. 864 Calculate the remainder when 3862684 is divided by 321877. 160 Calculate the remainder when 315794 is divided by 63157. 9 What is the remainder when 18418657 is divided by 4604647? 69 Calculate the remainder when 224965 is divided by 219661. 5304 What is the remainder when 769595 is divided by 2637? 2228 Calculate the remainder when 1348809 is divided by 7. 0 What is the remainder when 15900215 is divided by 429735? 20 Calculate the remainder when 76799420 is divided by 312. 308 What is the remainder when 183542968 is divided by 25? 18 Calculate the remainder when 29755 is divided by 2952. 235 Calculate the remainder when 5433705 is divided by 51261. 39 Calculate the remainder when 22980 is divided by 358. 68 Calculate the remainder when 2069566 is divided by 27593. 91 Calculate the remainder when 849329 is divided by 106140. 209 Calculate the remainder when 13539164 is divided by 2707827. 29 Calculate the remainder when 129155 is divided by 25828. 15 What is the remainder when 193722 is divided by 21424? 906 Calculate the remainder when 3083291 is divided by 7557. 35 What is the remainder when 828694 is divided by 1053? 1036 What is the remainder when 32780700 is divided by 280? 260 What is the remainder when 5804696 is divided by 177? 158 What is the remainder when 21170 is divided by 576? 434 What is the remainder when 165651 is divided by 880? 211 Calculate the remainder when 1464209 is divided by 292825. 84 Calculate the remainder when 2042458 is divided by 315. 313 What is the remainder when 2325036 is divided by 91? 77 What is the remainder when 465965 is divided by 20212? 1089 What is the remainder when 269528610 is divided by 28? 22 Calculate the remainder when 121013 is divided by 3909. 3743 What is the remainder when 4154161 is divided by 630? 571 What is the remainder when 22578866 is divided by 13? 11 What is the remainder when 571503 is divided by 142640? 943 What is the remainder when 8815836 is divided by 122? 116 Calculate the remainder when 2566 is divided by 429. 421 What is the remainder when 108665 is divided by 1488? 41 What is the remainder when 82529 is divided by 1124? 477 What is the remainder when 63131343 is divided by 2205? 2193 Calculate the remainder when 92740 is divided by 92723. 17 What is the remainder when 426338 is divided by 74? 24 What is the remainder when 343677 is divided by 38166? 183 Calculate the remainder when 2905330 is divided by 484210. 70 What is the remainder when 35482834 is divided by 136999? 93 Calculate the remainder when 136912 is divided by 34206. 88 Calculate the remainder when 242884 is divided by 38796. 10108 Calculate the remainder when 60838 is divided by 25. 13 What is the remainder when 1250061 is divided by 24? 21 What is the remainder when 7566104 is divided by 2666? 2662 Calculate the remainder when 421099 is divided by 210502. 95 Calculate the remainder when 85664 is divided by 664. 8 Calculate the remainder when 13111811 is divided by 588. 587 Calculate the remainder when 1274465 is divided by 392. 73 Calculate the remainder when 41226181 is divided by 1189. 1173 What is the remainder when 1339690 is divided by 267937? 5 Calculate the remainder when 6698645 is divided by 54. 53 What is the remainder when 78040 is divided by 3115? 165 Calculate the remainder when 335528 is divided by 3055. 2533 What is the remainder when 56416316 is divided by 114? 110 Calculate the remainder when 3999220 is divided by 63. 43 What is the remainder when 110037 is divided by 12764? 7925 What is the remainder when 1165359 is divided by 485? 389 What is the remainder when 2426852 is divided by 346? 8 Calculate the remainder when 13552075 is divided by 624. 43 What is the remainder when 197198704 is divided by 21910966? 10 Calculate the remainder when 1310094 is divided by 1309004. 1090 What is the remainder when 22375 is divided by 4471? 20 What is the remainder when 73114367 is divided by 256? 255 What is the remainder when 152270 is divided by 16917? 17 Calculate the remainder when 4812578 is divided by 687505. 43 What is the remainder when 223695 is divided by 785? 755 What is the remainder when 3146281 is divided by 314627? 11 Calculate the remainder when 76868 is divided by 1003. 640 Calculate the remainder when 77202 is divided by 2766. 2520 What is the remainder when 939317 is divided by 107? 71 What is the remainder when 16618933 is divided by 522? 19 Calculate the remainder when 3721175 is divided by 195845. 120 What is the remainder when 123227 is divided by 233? 203 What is the remainder when 898542 is divided by 50? 42 What is the remainder when 12004 is divided by 1545? 1189 What is the remainder when 16808247 is divided by 49876? 35 What is the remainder when 1443147 is divided by 71? 1 Calculate the remainder when 121541 is divided by 60761. 19 Calculate the remainder when 1934934 is divided by 276418. 8 What is the remainder when 20310 is divided by 457? 202 What is the remainder when 458635776 is divided by 9? 6 What is the remainder when 781448 is divided by 70999? 459 Calculate the remainder when 177258 is divided by 5677. 1271 Calculate the remainder when 186572 is divided by 297. 56 Calculate the remainder when 15737 is divided by 1548. 257 What is the remainder when 49635059 is divided by 6004? 5995 Calculate the remainder when 32655759 is divided by 247392. 15 What is the remainder when 5204527 is divided by 20094? 181 What is the remainder when 1193236 is divided by 511? 51 What is the remainder when 25267298 is divided by 3078? 3074 Calculate the remainder when 25985 is divided by 597. 314 Calculate the remainder when 350488 is divided by 409. 384 What is the remainder when 49588422 is divided by 138515? 52 Calculate the remainder when 107350 is divided by 35517. 799 What is the remainder when 24804 is divided by 3178? 2558 What is the remainder when 5118 is divided by 3544? 1574 What is the remainder when 4324565 is divided by 864905? 40 What is the remainder when 1376811 is divided by 1079? 7 What is the remainder when 3021622 is divided by 287? 86 Calculate the remainder when 3362210 is divided by 167. 166 What is the remainder when 218240 is divided by 1108? 1072 Calculate the remainder when 24303885 is divided by 63. 60 Calculate the remainder when 2397817 is divided by 1198908. 1 Calculate the remainder when 57180381 is divided by 17125. 6 Calculate the remainder when 330055821 is divided by 203864. 5 What is the remainder when 19262078 is divided by 627? 11 What is the remainder when 47582628 is divided by 945? 933 What is the remainder when 1597986 is divided by 20753? 5 What is the remainder when 1659843 is divided by 414773? 751 Calculate the remainder when 5373573 is divided by 895590. 33 Calculate the remainder when 5264717 is divided by 605. 7 Calculate the remainder when 8892437 is divided by 6171. 26 Calculate the remainder when 8993 is divided by 73. 14 What is the remainder when 17641 is divided by 2545? 2371 What is the remainder when 9938 is divided by 9816? 122 What is the remainder when 2479672 is divided by 275502? 154 What is the remainder when 13076 is divided by 4261? 293 What is the remainder when 666110 is divided by 7479? 479 Calculate the remainder when 53646 is divided by 281. 256 What is the remainder when 155767538 is divided by 79? 78 What is the remainder when 20063568 is divided by 85? 83 What is the remainder when 115575 is divided by 1778? 5 Calculate the remainder when 141165 is divided by 7828. 261 What is the remainder when 518169 is divided by 1175? 1169 What is the remainder when 203493 is divided by 207? 12 What is the remainder when 1157794 is divided by 19? 10 What is the remainder when 95119 is divided by 495? 79 What is the remainder when 18735 is divided by 1924? 1419 Calculate the remainder when 2506282 is divided by 3616. 394 Calculate the remainder when 542857 is divided by 1077. 49 What is the remainder when 611007 is divided by 12219? 57 Calculate the remainder when 4574575 is divided by
{ "pile_set_name": "DM Mathematics" }
*(sqrt(5) + (sqrt(15)/(2*sqrt(3) - sqrt(3)) - sqrt(5))))**2. 180 Simplify 6*(sqrt(68) + -1 + sqrt(68) + sqrt(68) + 2)**2. 72*sqrt(17) + 3678 Simplify 5*(sqrt(448) + -1 + sqrt(448)). -5 + 80*sqrt(7) Simplify 6*(4*1*sqrt(605) - sqrt(605))**2. 32670 Simplify 2 + (sqrt(45) - (sqrt(45) - (sqrt(2880) + -1))**2) + sqrt(45). -2204 + 48*sqrt(5) Simplify ((sqrt(162)*2)/sqrt(6))/(sqrt(36)/((sqrt(4) - (sqrt(4) - sqrt(20)/sqrt(5))) + sqrt(4))). 4*sqrt(3) Simplify (sqrt(162)/(sqrt(36)/sqrt(4)))/(sqrt(36)/(2*sqrt(4))). 2*sqrt(2) Simplify sqrt(28)/((sqrt(96)/sqrt(4))/sqrt(6)). sqrt(7) Simplify ((0 + sqrt(1900))*-4 + (sqrt(1900) - (sqrt(1900) - (3 + 1*sqrt(1900)))) + sqrt(1900))**2. -120*sqrt(19) + 7609 Simplify ((sqrt(42)/sqrt(175))/sqrt(2))**2. 3/25 Simplify 6*((1*sqrt(104))/sqrt(8))**2. 78 Simplify sqrt(156)/(1*sqrt(24)/sqrt(2))*-5. -5*sqrt(13) Simplify -5*sqrt(684) - (sqrt(2736) + (sqrt(2736)*2)**2 - sqrt(2736)). -10944 - 30*sqrt(19) Simplify 4 + (sqrt(20)/(sqrt(80)/sqrt(32))*5)**2. 204 Simplify (((sqrt(50) + sqrt(200)/sqrt(4))*-4)/(sqrt(40)/(sqrt(16)/sqrt(4) + sqrt(4)) + sqrt(10)))**2. 1280/9 Simplify (4 + sqrt(1584))**2 + (-1 + sqrt(1100) - sqrt(1100))**2. 96*sqrt(11) + 1601 Simplify (sqrt(5) + sqrt(5)*1 + -1)*3 + -1. -4 + 6*sqrt(5) Simplify (sqrt(51)/(1*sqrt(3)) + 5 - (1 + sqrt(425) + sqrt(425) + 3))**2. -18*sqrt(17) + 1378 Simplify (sqrt(30) - 6*sqrt(60)/sqrt(2))/(sqrt(18)/(sqrt(9)/sqrt(3))). -5*sqrt(5) Simplify (sqrt(1573) + 1)**2 + 0 + sqrt(1872). 34*sqrt(13) + 1574 Simplify sqrt(57)/(sqrt(21)/(sqrt(21)/sqrt(3))). sqrt(19) Simplify (sqrt(176) + sqrt(11))**2 + 4 + 4. 283 Simplify ((sqrt(121) - 2*sqrt(121))*-1)/(sqrt(55)/sqrt(20)). 2*sqrt(11) Simplify (1 + sqrt(320) + sqrt(320) + sqrt(320) + 0 + sqrt(320))**2. 64*sqrt(5) + 5121 Simplify (sqrt(24) + sqrt(24) + 6*-1*sqrt(24) + sqrt(24))/(sqrt(588)*-3 - sqrt(588)). 3*sqrt(2)/28 Simplify -3*(sqrt(153)*1)**2. -459 Simplify (sqrt(297)/sqrt(9))/sqrt(3) + -5. -5 + sqrt(11) Simplify (-1 + (sqrt(19) - sqrt(475)) + -4)**2*3. 120*sqrt(19) + 987 Simplify 1 + sqrt(88)/sqrt(8) + -2. -1 + sqrt(11) Simplify (sqrt(36)/(sqrt(36)/(-1*sqrt(3))))**2. 3 Simplify (2*sqrt(170)*-4)/(sqrt(30)/sqrt(3)*4). -2*sqrt(17) Simplify -6*sqrt(3)*2 - (-1 + sqrt(3)*-1). -11*sqrt(3) + 1 Simplify sqrt(156)/(-1*sqrt(768))*1. -sqrt(13)/8 Simplify -4 + (sqrt(891) - (2 + sqrt(891) + -1*sqrt(891)))**2*-4. -3584 + 144*sqrt(11) Simplify (sqrt(5) - -1*sqrt(20)) + sqrt(25)/sqrt(5)*1. 4*sqrt(5) Simplify ((2*sqrt(2) + -1 - ((sqrt(2) - (sqrt(60)/sqrt(5))/sqrt(6)) + sqrt(2))) + -4)**2. -10*sqrt(2) + 27 Simplify ((-2*2*sqrt(252))**2 - (1 + (0 + sqrt(252))**2))*-2. -7558 Simplify (sqrt(6)/sqrt(2))**2*5 + (sqrt(33)/(sqrt(11) + sqrt(99)) - sqrt(3)). -3*sqrt(3)/4 + 15 Simplify ((sqrt(165)/sqrt(5) - sqrt(33))*-2)/((sqrt(11) + sqrt(11) + sqrt(44)/sqrt(4) - sqrt(11))*6). 0 Simplify (-1*sqrt(99))/sqrt(9) + sqrt(33)/sqrt(3) + -4. -4 Simplify 1*(3 + (-2*sqrt(1539) - sqrt(1539)) - sqrt(1539)). -36*sqrt(19) + 3 Simplify ((-6*-3*sqrt(104) - sqrt(104)) + sqrt(104))/(sqrt(200)*2). 9*sqrt(13)/5 Simplify -5 + 5*sqrt(325) + 1. -4 + 25*sqrt(13) Simplify 5 + (2 + sqrt(396))**2. 24*sqrt(11) + 405 Simplify -3 + (-2*(sqrt(13) + sqrt(78)/sqrt(6)))**2 + sqrt(13). sqrt(13) + 205 Simplify (sqrt(18) - (-1*1*sqrt(18) + sqrt(18)) - sqrt(18) - sqrt(18))/sqrt(6). -sqrt(3) Simplify sqrt(168)/sqrt(6)*1. 2*sqrt(7) Simplify (sqrt(11) + (sqrt(88) - (sqrt(88) - sqrt(88)*-3) - sqrt(88))/sqrt(8) - sqrt(132)/(sqrt(12) + sqrt(48)/sqrt(4)))*4. -14*sqrt(11) Simplify sqrt(108)*2 + 3. 3 + 12*sqrt(3) Simplify -2 + (sqrt(17) + -2 + sqrt(17))*2. -6 + 4*sqrt(17) Simplify -4 + 4 + sqrt(11) + (sqrt(55) + sqrt(55) + sqrt(330)/sqrt(6))/sqrt(5). 4*sqrt(11) Simplify ((4*(sqrt(88) + (sqrt(88) - (sqrt(88) - (sqrt(88) - (sqrt(88)*-1 - sqrt(88)))))))/(sqrt(8) - -3*sqrt(648)))**2. 176/49 Simplify 4 + ((sqrt(40)*2)/sqrt(2) + sqrt(20))**2. 184 Simplify sqrt(208) + (sqrt(208) - (4 + sqrt(208)*1)). -4 + 4*sqrt(13) Simplify 4 + 4*(sqrt(396)*-1)**2 + -3. 1585 Simplify (2*sqrt(88)*3)/(sqrt(48)/(sqrt(36)/sqrt(6))). 6*sqrt(11) Simplify sqrt(2)*2*-6 - (sqrt(8) + 1 + sqrt(8))**2. -33 - 20*sqrt(2) Simplify ((sqrt(45)*1)/sqrt(3) - sqrt(15))/sqrt(3). 0 Simplify (1 + (sqrt(1377) + 0 - sqrt(1377)))**2*-5. -5 Simplify 6*sqrt(33)/(sqrt(132)/sqrt(108)). 18*sqrt(3) Simplify (sqrt(27) + 2 - sqrt(336)/sqrt(7)) + 0. -sqrt(3) + 2 Simplify (4 + -1*sqrt(1377))**2 + 2. -72*sqrt(17) + 1395 Simplify -2 + 5*((1*sqrt(1872) - sqrt(1872))**2 + 5 - sqrt(1872)). -60*sqrt(13) + 23 Simplify -4*(sqrt(1088) + 0) + sqrt(1088) - (-5 + sqrt(1088) + (1 + sqrt(1088) - sqrt(1088) - sqrt(1088))). -24*sqrt(17) + 4 Simplify sqrt(14)/sqrt(2)*-5 + 3 + -4. -5*sqrt(7) - 1 Simplify (sqrt(44) - (-1 + sqrt(2816) + sqrt(2816)))*-1. -1 + 30*sqrt(11) Simplify (sqrt(117) + 2*sqrt(117)*-2)/(sqrt(9) + sqrt(9) + 1*(sqrt(9) - sqrt(36))). -3*sqrt(13) Simplify (sqrt(55)/(sqrt(539)*-5)*-2)**2. 4/245 Simplify 6*(-1*sqrt(448) - sqrt(448)). -96*sqrt(7) Simplify (sqrt(2499) - (sqrt(2499) + sqrt(2499) + sqrt(2499)*-2))/((sqrt(48)/sqrt(4))/sqrt(4)). 7*sqrt(17) Simplify (((1*sqrt(204))/sqrt(12))**2 + 3)*-6. -120 Simplify ((-3*sqrt(4400) + sqrt(44))/sqrt(4))**2. 9251 Simplify (-6*(-1 + sqrt(152)/sqrt(8)))**2. -72*sqrt(19) + 720 Simplify ((sqrt(2299) - (sqrt(2299) + 1)*-2) + sqrt(2299))**2 + sqrt(2299). 187*sqrt(19) + 36788 Simplify (0 + sqrt(832) + -3)**2. -48*sqrt(13) + 841 Simplify (-6*2*(sqrt(19) - sqrt(19)*1))**2. 0 Simplify (0 + 0 + sqrt(77)/(sqrt(175) - sqrt(7)))**2. 11/16 Simplify 1*((sqrt(11) + -3*(sqrt(11) + 1))**2 + (1*sqrt(88))/sqrt(8)). 13*sqrt(11) + 53 Simplify sqrt(190)/(2*sqrt(10) - sqrt(10)) + 2. 2 + sqrt(19) Simplify (sqrt(432)*-1)**2 + -1 + 2. 433 Simplify -4*sqrt(150)/sqrt(3). -20*sqrt(2) Simplify 4*(sqrt(18) + 4 + 4*sqrt(18)). 16 + 60*sqrt(2) Simplify -5*sqrt(19)*3 + sqrt(19) - ((sqrt(19) - (sqrt(19) - (sqrt(171) - sqrt(171)*-3))) + sqrt(19))**2. -3211 - 14*sqrt(19) Simplify (sqrt(168)/sqrt(4))/sqrt(6) - (sqrt(7) + (sqrt(343) - sqrt(343)*2)). 7*sqrt(7) Simplify sqrt(21)/sqrt(63) + sqrt(3) - (sqrt(3) + sqrt(3) + 3 + 0)**2. -21 - 32*sqrt(3)/3 Simplify -1 + (6*sqrt(300)*-2)**2. 43199 Simplify 1 + sqrt(4)/sqrt(2) + (sqrt(8) - sqrt(2))*-5. -4*sqrt(2) + 1 Simplify 5*(-2 + sqrt(68)/(1*sqrt(4))). -10 + 5*sqrt(17) Simplify (4*sqrt(132)*-2)/(-1*sqrt(972)). 8*sqrt(11)/9 Simplify sqrt(9)/sqrt(3)*-2*2. -4*sqrt(3) Simplify (sqrt(120)/sqrt(2)*-4 - sqrt(60))/(sqrt(144)/sqrt(300)). -25*sqrt(5) Simplify 2 + sqrt(8)/(-1*sqrt(4)*2). -sqrt(2)/2 + 2 Simplify -4*(sqrt(119) - sqrt(119)*1)/sqrt(7). 0 Simplify 4*(6*(-1 + sqrt(208)))**2. -1152*sqrt(13) + 30096 Simplify (3 + -1 + sqrt(99)*2)**2*-4. -1600 - 96*sqrt(11) Simplify 1 + sqrt(128)*4 + 1. 2 + 32*sqrt(2) Simplify sqrt(50) + -4 + -4 + (sqrt(6)/sqrt(3))**2. -6 + 5*sqrt(2) Simplify (sqrt(242)*5 + sqrt(242))**2*5 + sqrt(242). 11*sqrt(2) + 43560 Simplify sqrt(4)/sqrt(2) + sqrt(2) + -1 - (sqrt(2)*-3 + -2). 1 + 5*sqrt(2) Simplify (sqrt(22) + sqrt(176)/(sqrt(8)*-3 + sqrt(8)))/sqrt(11). sqrt(2)/2 Simplify sqrt(242) + (sqrt(242) - (sqrt(242) + -1 + -2)) + sqrt(242) + -5. -2 + 22*sqrt(2) Simplify sqrt(18) + sqrt(18) + 2*(2 + sqrt(18)). 4 + 12*sqrt(2) Simplify 1*(sqrt(684) + -1) + sqrt(684) - sqrt(684) - (sqrt(171) + -1 - sqrt(171))**2*6. -7 + 6*sqrt(19) Simplify -2*(sqrt(7) - (sqrt(14)/sqrt(2))**2) - (sqrt(252) + sqrt(63) + sqrt(63))/sqrt(9). -6*sqrt(7) + 14 Simplify -4 + (sqrt(15)/(-4*sqrt(5) + sqrt(5)) - sqrt(3)). -4 - 4*sqrt(3)/3 Simplify (-3*(sqrt(3) + (sqrt(45)/sqrt(3))/sqrt(5)))**2. 108 Simplify -6*(-2 + sqrt(7) + -4). -6*sqrt(7) + 36 Simplify (sqrt(2800)*1 - sqrt(28))/(sqrt(16)/(sqrt(16)/sqrt(4) + sqrt(4))). 18*sqrt(7) Simplify 3*sqrt(19)*-3 - sqrt(228)/sqrt(192). -37*sqrt(19)/4 Simplify sqrt(1088) - (sqrt(1088) - (5 + sqrt(1088) + -2))**2. -9 + 8*sqrt(17) Simplify -4*(sqrt(65)*-2 + sqrt(65))/sqrt(5)*-5. -20*sqrt(13) Simplify (((sqrt(54)/sqrt(2))/sqrt(9) - (sqrt(3) + -4 + sqrt(9)/sqrt(3))) + -2)**2. -4*sqrt(3) + 7 Simplify sqrt(22)/sqrt(2)*4 + -4. -4 + 4*sqrt(11) Simplify ((sqrt(176) - sqrt(176)*1) + 1 + 1*sqrt(11))**2. 2*sqrt(11) + 12 Simplify sqrt(15)/(sqrt(20)/(1*sqrt(4))). sqrt(3) Simplify (sqrt(425) + -1 + 0 - ((sqrt(425)*-2 - sqrt(425))*6)**2)*-1. -5*sqrt(17) + 137701 Simplify 3*sqrt(11) + -2 + 3 + 2. 3 + 3*sqrt(11) Simplify ((sqrt
{ "pile_set_name": "DM Mathematics" }
o 7/10 in -1/3, -61, f, -4? f Let i = 21 - 15. Let j = 3.9907 + -0.9907. Which is the closest to -0.1? (a) j (b) 1 (c) i b Let v = 512/231 - 92/33. Which is the closest to -2? (a) v (b) 0.5 (c) -75 (d) 2 a Let s(n) = -n + 3. Let m be s(6). Let h = 234335 + -234339. What is the closest to 2 in m, h, -1? -1 Let m = -3.04 + 0.04. Let u(k) = k - 14. Let r be u(12). Let x be (-7)/1 + 5 + r + 2. Which is the nearest to 0? (a) m (b) -1/5 (c) x b Let p = 10 - 5. Let q be 11 + 0 + 2 + -1 + -1. Suppose 8*x + 12 = q*x. What is the nearest to -1 in p, -0.4, x? -0.4 Let c = -2 + 2.2. Let v be (-4)/(-6)*(-168)/16. What is the closest to v in -0.2, 5/4, c? -0.2 Suppose 202 - 95 = 2*u + 107. Let c = -0.8 + 0.86. What is the closest to u in 0.3, 0, c, 2/3? 0 Let o = 83.01 - 83.31. What is the nearest to o in 5, 0.1, -74/7? 0.1 Let q = -4.2 - 0.8. Let v = -1079 + 1531. Let b = 452.1 - v. What is the closest to 1/3 in q, b, -0.1? b Let p = 155.13 + -152.13. Let z be 2 + (-34)/2 + 1. Which is the nearest to 0.1? (a) p (b) z (c) 4 a Let n = 20 + -13.6. Let t = -31.4 + n. Let o = 26 + t. Which is the closest to o? (a) 1 (b) -1/2 (c) -5 a Suppose h = 5*s - 78, -2*h - 135 = -0*h - 3*s. Let p be 2 - (14/h + 447/189). Let l be (-1)/(1/3) - 2. Which is the closest to p? (a) l (b) 2/3 (c) 0.1 c Let n = -0.013 - 0.087. Let v be 611/987 - 1/3. What is the nearest to v in 0.5, -5, n? 0.5 Let n = -6.8 - 0.2. Let p be (3/7 + (-287)/441)*6. Which is the closest to n? (a) p (b) 2 (c) 0.4 (d) 0.3 a Let x = -92 - -91.979. Let y = 3.979 - x. Let h = -0.03 + -0.07. Which is the nearest to h? (a) y (b) 0.4 (c) 0.1 c Let s = 13914 - 13913.8. What is the closest to s in -2/3, 0, 0.086, 1/2? 0.086 Suppose r = 4*z + 52, r - 6*z = -7*z + 47. Let w be (-32)/r*(-12)/(-8). Suppose -82 = -3*i - 25. Which is the closest to w? (a) -0.4 (b) i (c) -5 a Let c = 11.07 + -4.61. Let t = c + -6.61. What is the nearest to t in -5, 0.4, 0, -0.2? -0.2 Let b be (-165)/(-20) + -5*(-5)/(-100). What is the nearest to b in -2, -6, 2? 2 Let z = -10.8 + 10.7. Which is the closest to -4/7? (a) -0.4 (b) z (c) -2 (d) 5 a Let b be 2/(24/14) + -1. Suppose -4*m + 4*n + 12 + 4 = 0, 4*m + 5*n - 52 = 0. Suppose -3*c - m = -5. What is the closest to -1 in c, b, -0.2? c Let w = -3.07 - -3.1. Let r = 39.97 + w. Let b = -37 + r. What is the closest to 1/4 in 1/2, 4, b? 1/2 Let d = 0.20234 - -4.79766. Suppose 2*m - 7*m = -5. Let y be (m + 26/(-30))*10. What is the nearest to 1 in 6, d, y? y Suppose -141 = -57*y - 198. What is the nearest to 2 in -0.02, y, -1/23? -0.02 Let x be 1/(14 - (-57)/(-6)). Which is the closest to x? (a) 2/5 (b) 3 (c) 0 (d) 2 a Let s = -0.2365 + 0.8365. Which is the closest to 3? (a) s (b) 3/8 (c) -0.4 (d) 0.1 a Let a = 18.305 - 18.405. What is the closest to -3/43 in 1, a, -45? a Let y = -36 + 35.7. Let w = -0.5 - y. Let h = -44 - -44.6. What is the nearest to w in h, 5, 4? h Let d be 19/(-38) + -5 + (-79)/(-14). Let h = -5.6 - -0.6. Let o = 0.1 + -0.1. Which is the nearest to d? (a) 2/9 (b) o (c) h a Suppose 4*q - 10 - 9 = x, 2*q - 20 = 4*x. Let r = -144.8 - -167. Let y = r + -24.2. What is the nearest to -1/5 in y, 3, x? y Let k = 110 + -988/9. Let o = 0.33 + 18.67. Let f = 19.06 - o. What is the nearest to 1 in 3/2, f, k? 3/2 Let x(f) = 3*f + 12. Let s be x(-5). Let d = -4.577 - -0.577. Which is the closest to 0.1? (a) 10 (b) d (c) s c Let k = -85 - -83. Let n = 0.99 - 0.59. Which is the nearest to 1? (a) n (b) -1/16 (c) k (d) 3 a Let g = -4 + 4.4. Let d = -625 - -20638/33. Let t = 19/33 - d. What is the nearest to 1 in 2, t, g? g Let s be 12 + (110/(-40) - 9). Which is the nearest to s? (a) -0.3 (b) 2 (c) -1/4 (d) 1 c Let y = -0.06 - -3.06. Let x = 18 + -8. Let u = 5 - x. Which is the nearest to 1? (a) y (b) u (c) -1/2 c Let h = 14.6 + -15.7. Let j = 5.1 + h. Which is the closest to -7/5? (a) -0.4 (b) 4/3 (c) j a Let r = 41 - 49. Let y = 7.8 + r. Let k = 112/915 - -2/183. What is the nearest to -1 in 5, k, y? y Let q = 745/7 - 107. Let b = -0.08 + -0.72. Let u = b - -1.3. What is the nearest to -2/3 in u, 6, q? q Let i = -16/93 + 26/31. Which is the closest to 4/29? (a) i (b) -3 (c) -1/3 c Let f = -3938.99 + 3939. Which is the nearest to f? (a) 1 (b) 3 (c) -10/7 (d) -2 a Let w be 2*22/((-154)/(-1)). Let p = 0.3 + 2.7. What is the closest to w in -0.2, p, -1/7, -6? -1/7 Let t = 9422/11 + -856. Let u = -389/63 - -284/63. Let a = 18 + -16. What is the closest to a in t, u, -3? t Let f(n) = n**2 + 32*n + 275. Let q be f(-14). Which is the closest to -7? (a) q (b) 4 (c) -0.2 c Let d = -12.33 - -12.13. Which is the nearest to 0.1? (a) -4 (b) -30 (c) d c Let o = -2585 - -2586. Which is the closest to -88? (a) 5 (b) -0.4 (c) o b Let u(w) = 4 + 7 - 10*w + 3*w**2 + w**3 - 9. Let y = 21 + -26. Let g be u(y). Which is the closest to g? (a) -1/2 (b) 0.1 (c) -0.2 b Let y = 509.3 + -508.3. What is the closest to 0.1 in 17, -1/3, y, -4/37? -4/37 Let l = -0.1 + 0. Let o = 431.02 + -435. Let v = o + 0.98. What is the nearest to l in -0.2, -1/4, v? -0.2 Let p = 4079/40 + -508/5. Let x = -2.7 + 1.8. Which is the nearest to 0.1? (a) 0.2 (b) x (c) p a Let w = 984 - 983.6. What is the nearest to -44/9 in -4, -0.1, w, -3? -4 Let z be 1*(-4 + (0 - -2)). Let y = 3.21 - 3.41. Let r be -1 - (100/45 - 3). What is the closest to r in y, 0.3, z? y Let q = 10.5 + -10. Let m be 560/56*(-1)/(-20). What is the nearest to m in q, 2, 1? q Let a be -1 + -12 + 13 + 3. Suppose -16 = 2*b + 4*w, 4*b + 4*w - 23 = 7*w. Let o be 20/18 + (1 - b). What is the nearest to 0.4 in o, a, 0.3? 0.3 Let x = -34/65 + -22/455. Let y = -3.02 - -0.02. What is the nearest to -1 in -0.03, x, y? x Let o(b) = b**2 - 147*b - 1238. Let j be o(155). What is the closest to -1/10 in 25, 5, j? j Let y = -83/324 + 1/162. Let f = 0.0056 - -15.9944. What is the nearest to -2/5 in y, 0.1, f? y Let o be (-192)/(-33) - (17/(-5) - -3)*-15. What is the closest to -2/7 in 21, o, -0.5, 2/17? o Let g = 712 + -709. Which is the nearest to -3/5? (a) -3 (b) -2.8 (c) g (d) 1 d Let j = -55.4 + -4.6. Let u = -59.9 - j. Let k be ((-6)/9)/((-21)/(-9)). Which is the nearest to u? (a) 2.6 (b) -3/2 (c) k c Let m = -0.926 - -0.89. Let d = m + -37.964. Let v = 38.7 + d. Which is the nearest to 1? (a) -1 (b) v (c) 0.1 b Let l be ((-2)/(-17))/((-434)/1054). Which is the closest to l? (a) 1/9 (b) -2 (c) -0.22 (d) -0.5 c Let z = 13877.6 - 13878. Let g = -17 + 15. Which is the closest to g? (a) -12/11 (b) 5 (c) -4 (d) z a Let h = 8 - 5. Suppose 0 = -7*t + 3 - 10. Let v = -0.393 - -0.693. Which is the nearest to t? (a) h (b) -2/15 (c) v b Let p = -12465 - -12426. Which is the closest to p? (a) -1 (b) 0 (c) -7 (d) -3 c Let w = 2889.8 + -2890. Which is the closest to -1? (a) -25/2 (b) 11.3 (c) w c Let v = -0.15 + 0.15. Let p = -10 - -10.1. Let r = -4.12 + 2.12. What is the nearest to v in p, 1, r? p Let d = 0 + 0. Let i be (-15)/(-40) + 55/(-40). Let j = 185 - 365/2. What is the closest to i in d, 1/10, j? d Let w = -14513 - -14515. Which is the closest to -25/16? (a) 4 (b) 3 (c) w c Let u = -3327.92 + 3328. What is the closest to u in -3, 0, 17? 0 Let w = -7336 - -7335. Suppose 5*p - 13 - 17 = -5*s, 2*s - 5*p = -2. Let q be ((-2)/(-8))/((-5)/s). What is the closest to w in q, 2.5, -2/5? -2/5 Let s = 4.583 + -0.583. Let g = 0.367 + 4.573. Let c = g + 0.06. What is the nearest to 1 in -0.4, s, c? -0.4 Let o be (54077/(-204))/(3*4/(-36)). Let j = -796 + o. Let u = -0.24 - -0.08. Which is the closest to 0.1? (a) j (b) 5 (c) u c Let i = -10.539 + 96.539. Which is the closest to -1? (a) i (b) -6 (c) 0.3 c Let y = 27609.4 + -27609. Which is the closest to -3? (a) y (b) 8.7 (c) -2 c Let o = -3350 + 3366. Which is the nearest to 1? (a) 0.1 (b) o (c) 1/7 c Let u be 1593/33*(-16)/6. Let r = u + 1402/11. Which is the nearest to -2? (a) 0 (b) r (c) 0.4 (d) 2 b Let h = -6.707 + 1.707. Let l = -18 - -11. What is the nearest to -1/2 in h, l, 0.4? 0.4 Let k = 0.3 - 0.5. Let n = 19578 - 19578.3. What is the nearest to k in n, 0.1, -4? n Let x = 17.669 - 4.669. Which is the closest to 41? (a) 1 (b) -4 (c) x c Let s = 6599 - 6593. Suppose 4*d - 5*k - 12 = -0*k, 5*d - 15 = 4*k.
{ "pile_set_name": "DM Mathematics" }
= 1 + -1. Suppose 2*a + 2*c = -20, -2*a - 29 + 2 = -5*c. Let q = o - a. Is q a multiple of 11? True Let a be 8/28 - (-3368)/(-28). Is (a/12)/(2/(-5)) a multiple of 12? False Let h be ((-1)/2)/((-3)/24). Suppose -4*m - 2*m = -528. Suppose -m = -h*p + 4*j, 4*p - 3*j = -2*j + 82. Is 10 a factor of p? True Let a = -17 - -42. Suppose 0 = -p + 4*p. Suppose p = j - a. Is 11 a factor of j? False Is 18*-1*(-3)/9 a multiple of 2? True Suppose 4*d - 2*s - 4 = -0, 0 = -5*d + 2*s + 7. Let t(v) = -3*v**2 + 5*v - v**3 + v**3 + v**3 - 2. Does 13 divide t(d)? True Let p(o) = -o**2. Let i(d) = -d + 1. Let t be i(5). Let m(q) = 9*q**3 - 2*q**2 - 1. Let c(l) = t*p(l) + m(l). Is c(1) a multiple of 5? True Suppose -2*l - 4*b = -4*l + 74, 0 = 3*l + 5*b - 144. Does 19 divide l? False Suppose 2*r + 0 - 19 = -z, 3*r + 4*z - 21 = 0. Let s = r - 8. Suppose -s = -2*a + 3. Is 2 a factor of a? False Let q = -11 + -14. Let w = -18 - q. Is w a multiple of 4? False Let h(r) = -r - 2. Let x be h(-2). Suppose x = -3*s + p + 61, 3*p = -4*s + 6*p + 83. Is 10 a factor of s? True Let s be (-9)/6*2 - -97. Let r = s - 66. Does 21 divide r? False Let q = 3 + 0. Suppose -q = -2*t + 3. Is 3 a factor of t? True Suppose -23*k - 644 = -30*k. Is 24 a factor of k? False Suppose 5*w + l - 423 = 0, 0 = -l + 3. Is w a multiple of 17? False Let h(w) = 7*w**2 + 25*w + 19. Let i(j) = j**2 + j + 1. Let d(l) = -h(l) + 6*i(l). Does 23 divide d(-13)? False Let t = -18 - -14. Does 15 divide 86 - -2*t/(-8)? False Suppose f - m = 105, -2*m - 2*m = -2*f + 208. Is f a multiple of 12? False Suppose 4*r = -30 + 110. Suppose -5*z - r = 0, -5*w - 5*z - 1 = 9. Suppose 0 = p - w*p + 10. Is p a multiple of 10? True Let n(m) = -4*m**2 - 3*m + 1. Let v be n(6). Is 11 a factor of (v/14)/(2/(-4))? False Suppose -19 = -d - 3*i, 2*i = -2*d + 3*i + 3. Suppose 3*f + 11 = d*f - 4*g, -4*f - 2*g = -26. Is f a multiple of 7? True Let v = 1 + 5. Suppose -12 = -v*x + 2*x. Suppose -x*q + 38 = p, 4*p - 147 = q - 21. Does 12 divide p? False Suppose v - 43 = 4*b, v + 0*v = 2*b + 21. Let n = b + 26. Is 15 a factor of n? True Let m be (90/4)/((-6)/(-8)). Suppose 3*j - m = 4*z - z, z = 3*j - 26. Is j a multiple of 4? True Let k(y) = 34*y - 2. Does 13 divide k(2)? False Let k be (-1)/((-9)/(-6) + -1). Let h be (k/5)/((-2)/(-10)). Let x = h - -10. Does 8 divide x? True Suppose 0 = 5*m - 7*m + 96. Does 12 divide m? True Let h(i) = -i**3 + 9*i**2 - 9*i + 12. Let z be h(8). Let t = -2 + z. Let o = 17 + t. Does 19 divide o? True Let a(m) = -m**3 - 8*m**2 - 2*m - 10. Is a(-8) a multiple of 2? True Let c = -23 + 65. Does 14 divide c? True Suppose -3*a = -53 - 25. Let q be (441/(-18))/(2/(-4)). Suppose -3*l + q = -a. Is l a multiple of 9? False Suppose -w = -0*w - 30. Suppose -3*d + o = -46, 2*d - 5*o + 4*o = w. Is 13 a factor of d? False Let j(k) = k**3 + 7*k**2 - 9*k + 12. Suppose -5*u - 34 = 3*b, b = 5*u + 1 + 1. Is j(b) a multiple of 5? True Let l = 15 + -9. Does 4 divide l? False Suppose 0 = -2*m - r + 81, -m - 54 = -2*m - 5*r. Suppose 0*i - m = -i. Suppose -3*z - 12 = -i. Is z a multiple of 7? False Let a be (-4 + 3)/((-1)/4). Suppose 6*n = a*n + 10. Suppose -n*q - 5*s - 5 = 0, 5*s = -3*q + 4*q - 29. Is 3 a factor of q? False Let z(r) = 4*r + 2. Let c(w) = w**2 + 6*w - 2. Let v be c(-7). Does 14 divide z(v)? False Let b(m) be the second derivative of -m**5/20 + m**4/2 - 5*m**3/6 - m. Let z be b(4). Is (z/(-10))/(6/(-195)) a multiple of 13? True Suppose -3*q = -5*l - 41, -3*l - 19 = -q - 0*l. Is 2 a factor of q? False Let m = -84 + 151. Is m a multiple of 18? False Suppose -5*c + 6 = -3*c + 3*m, c + 10 = 5*m. Suppose -5*w + 0*w - 2*x + 116 = c, 0 = -3*w + 4*x + 54. Does 11 divide w? True Suppose m = -2*q + 49, q - 45 = -q - 5*m. Let j = 23 + q. Is j a multiple of 16? True Suppose n - 89 = -n - 3*j, -n + 57 = -j. Does 13 divide n? True Suppose -15 = -2*d - 5. Let h(o) = 1 - o + 1 + 5*o + 2. Is h(d) a multiple of 14? False Suppose -4*p + 7*i + 30 = 2*i, -4*p = 2*i - 16. Suppose 3*k = 4*f + 61, 4*k + 2*f = p + 113. Is 9 a factor of k? True Suppose 1 = 2*p - 3. Suppose -p*k = -0*k - 2. Let g = 4 + k. Is 2 a factor of g? False Let h = 1 - -4. Suppose h*j - 4*j - 36 = 0. Let s = -16 + j. Does 10 divide s? True Let c(t) = 2*t**2 - 6*t - 2. Does 14 divide c(7)? False Suppose 0 = 3*v + s + 340, 0 = -0*v - 3*v + s - 338. Let b = 164 + v. Is b a multiple of 12? False Let x(k) = -7*k. Let w be x(-2). Suppose 138 = 5*l - 2*f, -4*f = 3*l - 74 - w. Is 2*-1 + l + -3 a multiple of 12? False Let h(w) = -8*w + 5. Let g be h(4). Let v = -15 - g. Suppose o + 2*r + 0 = v, r + 66 = 4*o. Is o a multiple of 8? True Let w = 7 + -4. Suppose 3 = w*j - 2*j. Suppose -j*g + 97 = g - 5*b, -2*b + 146 = 5*g. Is 12 a factor of g? False Let x(h) = 8*h. Let f be x(1). Let z be (15/(-20))/(2/f). Is (-14)/(-3) + 2/z a multiple of 4? True Let z = 11 + -11. Suppose 5*u + 4*n - 157 + 28 = z, 5*u + 5*n - 130 = 0. Is u a multiple of 25? True Let z(o) = -o**2 - 8*o + 3. Let a be z(-8). Suppose -2*t = -4*t + n + 61, a*t - 5*n = 95. Is 15 a factor of t? True Let s = 120 - 88. Does 4 divide s? True Let t(k) = k**3 - 2*k**2 - 2*k + 1. Let i be t(3). Suppose 5*x = 3*v - 88, -2*v - x - 68 = -i*v. Is v a multiple of 21? False Let s(p) = -2*p**3 - 7*p**2 + p - 1. Let d be s(-5). Suppose 2*m = -0*m + 5*z + d, 0 = 5*m + z - 132. Is m a multiple of 27? True Suppose -2*u + u - 59 = 0. Let o = u + 107. Is 24 a factor of o? True Let k(y) = 7*y - 1. Let z(j) = -j**2 - 6*j - 4. Let o be z(-5). Let b be k(o). Suppose 0 = -5*f + 4*w - 0*w + 16, -f - 2*w + b = 0. Is 4 a factor of f? True Suppose -5*z = 4*v - 109, -5*v + 99 = -v + 3*z. Suppose -v = -f + 3*y, -f = 3*f - 5*y - 98. Suppose 0 = 2*l + 9 - f. Is 4 a factor of l? False Let j be (-3 - -4)*(-2)/(-2). Let i be (j/2)/((-1)/10). Let t = 8 + i. Does 2 divide t? False Suppose -4*n + 8 = 3*q, 5*q + 17 = n + 2*q. Suppose w + 84 = n*w. Is w a multiple of 12? False Suppose 1 = 3*p - 2*p + 2*y, 5*y - 7 = -4*p. Let c = 37 - p. Suppose -1 = -5*z + c. Is 6 a factor of z? False Let y be ((-1)/2)/(11/(-1496)). Let x = -2 - -7. Suppose -3*o + x*o = y. Is 14 a factor of o? False Does 9 divide (1 - -4)*(8 - 4)? False Let m be -1*4/(-2) - -3. Suppose 0 = -g + 20 - m. Does 5 divide g? True Let k(t) = 3*t**2 - 22*t + 22. Does 19 divide k(12)? True Let q(l) = -95*l + 19. Let b(n) = -16*n + 3. Let w(a) = -19*b(a) + 3*q(a). Let p(g) = -g**2 - 7*g + 10. Let v be p(-8). Is 15 a factor of w(v)? False Suppose 20*j = 15*j + 185. Is 31 a factor of j? False Let y(g) = g**2 - 5*g + 63. Does 3 divide y(0)? True Let y be (-3)/((-9)/3)*0. Suppose -g + 3*g = y. Is g - 2*(-6 + 0) a multiple of 6? True Suppose -5*g = -24 - 21. Let i = 26 - g. Is 4 a factor of i? False Is 3 - (-47 + 10/(-5)) a multiple of 13? True Let d(v) = -1 + 2*v**2 + 2*v - 5*v + 9 - 4*v. Is 13 a factor of d(6)? False Let s be (-4)/(-10) + (-54)/10. Let u(r) = -7*r**2 - 6*r - 4 + 6*r**2 + 1. Is u(s) a multiple of 2? True Let i be 5*(-1 - (-27)/5). Suppose -4*l = -4*y - 60, 0 = 5*l + 4*y - 17 - i. Suppose -5*h = 5*z - l - 9, -2*h = -z + 13. Is z a multiple of 7? True Suppose -w - 5*q - 16 = 0, -4*q - 80 = -w + 6*w. Let m be (w/20)/((-1)/5). Is (3/(-2) + 2)*m a multiple of 2? True Let o be -3 - (-3 - (-87)/(-3)). Let z = -20 + o. Is 5 a factor of z? False Let k = -14 + 8. Let m(y) = y**3 + 6*y**2 - 3*y - 7. Is 7 a factor of m(k)? False Let a = 63 - 30. Is 21 a factor of a? False Suppose 3*b = 2*c + 607, -2*b + 422 = -0*b + 3*c. Let i = -140 + b. Suppose -2*d + x + 2*x + 65 = 0, d = -5*x + i. Does 20 divide d? True Suppose -2 = 2*d - 5*b - 11, 2*b + 2 = 0. Suppose 4*u - 3*m - 67 = -u, -d*m = -3*u + 40. Is u a multiple of 14? True Let b = -183 + 455. Is b a multiple of 40? False Suppose 6*y = -y + 1169. Let l = -81 + y. Does 19 divide l? False Suppose 2*r - 2*c - 616 = -2*r, 0 = 3*r - 3*c - 459. Does 27 divide r? False Let o = 24 + -21. Suppose 0 = 3*m - 4*s - 22, o*m - 2*s - 28 = -s. Is m a multiple of 4? False Let d(j) = 5*j**2 - 3*j + 16. Let u(h) = -h**2 + h - 1. Let x(i) = -d(i) - 6*u(i). Suppose 3*c = 2*y - c, -4*c = -5*y + 24. Does 15 divide x(y)? True Suppose 4*a = -4*v + 5*a + 13, -7 = -v + 4*a. Suppose 3 = 2*k - v. Suppose r = -k*r + 52. Is r a multiple of 13? True Let y(r) = 2*r - 8. Let u be y(6).
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when 989 is divided by 180. 89 What is the remainder when 107 is divided by 22? 19 Calculate the remainder when 524 is divided by 17. 14 Calculate the remainder when 39 is divided by 21. 18 Calculate the remainder when 1187 is divided by 9. 8 What is the remainder when 570 is divided by 250? 70 Calculate the remainder when 3474 is divided by 158. 156 Calculate the remainder when 717 is divided by 350. 17 Calculate the remainder when 340 is divided by 117. 106 What is the remainder when 175 is divided by 15? 10 What is the remainder when 494 is divided by 13? 0 What is the remainder when 494 is divided by 77? 32 Calculate the remainder when 345 is divided by 74. 49 What is the remainder when 26 is divided by 18? 8 Calculate the remainder when 1994 is divided by 498. 2 What is the remainder when 586 is divided by 173? 67 Calculate the remainder when 113 is divided by 16. 1 Calculate the remainder when 1137 is divided by 141. 9 Calculate the remainder when 840 is divided by 47. 41 What is the remainder when 783 is divided by 16? 15 Calculate the remainder when 11 is divided by 10. 1 What is the remainder when 1664 is divided by 111? 110 What is the remainder when 933 is divided by 311? 0 What is the remainder when 4587 is divided by 16? 11 What is the remainder when 3237 is divided by 54? 51 What is the remainder when 51 is divided by 15? 6 What is the remainder when 1117 is divided by 70? 67 Calculate the remainder when 3566 is divided by 19. 13 Calculate the remainder when 1626 is divided by 44. 42 What is the remainder when 160 is divided by 18? 16 Calculate the remainder when 388 is divided by 64. 4 What is the remainder when 79 is divided by 43? 36 What is the remainder when 364 is divided by 95? 79 What is the remainder when 39399 is divided by 9? 6 Calculate the remainder when 29635 is divided by 89. 87 Calculate the remainder when 350 is divided by 177. 173 What is the remainder when 262 is divided by 22? 20 Calculate the remainder when 124 is divided by 27. 16 Calculate the remainder when 1931 is divided by 120. 11 Calculate the remainder when 439 is divided by 35. 19 Calculate the remainder when 634 is divided by 36. 22 Calculate the remainder when 202 is divided by 20. 2 What is the remainder when 5647 is divided by 22? 15 Calculate the remainder when 13437 is divided by 48. 45 Calculate the remainder when 396 is divided by 389. 7 What is the remainder when 5936 is divided by 72? 32 What is the remainder when 937 is divided by 104? 1 What is the remainder when 597 is divided by 24? 21 What is the remainder when 675 is divided by 13? 12 What is the remainder when 960 is divided by 236? 16 Calculate the remainder when 56 is divided by 29. 27 Calculate the remainder when 585 is divided by 583. 2 What is the remainder when 1350 is divided by 11? 8 What is the remainder when 131 is divided by 20? 11 What is the remainder when 4770 is divided by 77? 73 What is the remainder when 437 is divided by 34? 29 What is the remainder when 19 is divided by 15? 4 Calculate the remainder when 534 is divided by 19. 2 Calculate the remainder when 1846 is divided by 373. 354 Calculate the remainder when 48 is divided by 11. 4 What is the remainder when 2023 is divided by 81? 79 Calculate the remainder when 39 is divided by 9. 3 What is the remainder when 202 is divided by 17? 15 Calculate the remainder when 714 is divided by 11. 10 What is the remainder when 240 is divided by 221? 19 Calculate the remainder when 65 is divided by 30. 5 What is the remainder when 996 is divided by 490? 16 Calculate the remainder when 335 is divided by 34. 29 Calculate the remainder when 750 is divided by 372. 6 What is the remainder when 1582 is divided by 72? 70 What is the remainder when 2610 is divided by 19? 7 What is the remainder when 203 is divided by 152? 51 What is the remainder when 2528 is divided by 110? 108 What is the remainder when 540 is divided by 115? 80 What is the remainder when 12873 is divided by 74? 71 Calculate the remainder when 3167 is divided by 227. 216 Calculate the remainder when 283 is divided by 17. 11 What is the remainder when 75 is divided by 56? 19 What is the remainder when 1316 is divided by 238? 126 What is the remainder when 491 is divided by 16? 11 Calculate the remainder when 1023 is divided by 21. 15 Calculate the remainder when 264 is divided by 38. 36 Calculate the remainder when 677 is divided by 56. 5 What is the remainder when 347 is divided by 35? 32 What is the remainder when 307 is divided by 31? 28 What is the remainder when 1095 is divided by 49? 17 Calculate the remainder when 128 is divided by 10. 8 Calculate the remainder when 1949 is divided by 32. 29 Calculate the remainder when 33988 is divided by 56. 52 What is the remainder when 774 is divided by 19? 14 What is the remainder when 770 is divided by 90? 50 What is the remainder when 103 is divided by 27? 22 Calculate the remainder when 102 is divided by 54. 48 What is the remainder when 237 is divided by 63? 48 What is the remainder when 59 is divided by 9? 5 What is the remainder when 1006 is divided by 64? 46 Calculate the remainder when 688 is divided by 99. 94 Calculate the remainder when 173 is divided by 7. 5 What is the remainder when 37 is divided by 12? 1 Calculate the remainder when 166 is divided by 31. 11 Calculate the remainder when 66 is divided by 32. 2 Calculate the remainder when 221 is divided by 33. 23 Calculate the remainder when 107 is divided by 33. 8 Calculate the remainder when 573 is divided by 24. 21 What is the remainder when 1416 is divided by 74? 10 Calculate the remainder when 173 is divided by 37. 25 What is the remainder when 319 is divided by 25? 19 Calculate the remainder when 6045 is divided by 85. 10 Calculate the remainder when 115 is divided by 72. 43 Calculate the remainder when 191 is divided by 81. 29 Calculate the remainder when 800 is divided by 81. 71 What is the remainder when 681 is divided by 22? 21 Calculate the remainder when 12691 is divided by 17. 9 What is the remainder when 483 is divided by 93? 18 What is the remainder when 46 is divided by 4? 2 What is the remainder when 3539 is divided by 15? 14 What is the remainder when 59 is divided by 52? 7 What is the remainder when 268 is divided by 9? 7 Calculate the remainder when 924 is divided by 437. 50 Calculate the remainder when 1646 is divided by 55. 51 Calculate the remainder when 98 is divided by 23. 6 Calculate the remainder when 454 is divided by 38. 36 What is the remainder when 2448 is divided by 70? 68 Calculate the remainder when 84 is divided by 15. 9 Calculate the remainder when 1616 is divided by 36. 32 What is the remainder when 2239 is divided by 248? 7 Calculate the remainder when 3095 is divided by 162. 17 What is the remainder when 42257 is divided by 10? 7 Calculate the remainder when 381 is divided by 181. 19 Calculate the remainder when 280 is divided by 262. 18 What is the remainder when 1120 is divided by 59? 58 What is the remainder when 119 is divided by 65? 54 What is the remainder when 5354 is divided by 26? 24 Calculate the remainder when 212 is divided by 50. 12 What is the remainder when 59 is divided by 12? 11 What is the remainder when 4614 is divided by 57? 54 Calculate the remainder when 1418 is divided by 33. 32 Calculate the remainder when 1780 is divided by 33. 31 Calculate the remainder when 3406 is divided by 44. 18 Calculate the remainder when 125 is divided by 45. 35 What is the remainder when 73 is divided by 37? 36 What is the remainder when 169 is divided by 46? 31 What is the remainder when 642 is divided by 26? 18 What is the remainder when 142 is divided by 15? 7 Calculate the remainder when 862 is divided by 208. 30 What is the remainder when 1401 is divided by 39? 36 Calculate the remainder when 590 is divided by 8. 6 What is the remainder when 1408 is divided by 17? 14 Calculate the remainder when 193 is divided by 16. 1 Calculate the remainder when 1955 is divided by 89. 86 Calculate the remainder when 7634 is divided by 18. 2 Calculate the remainder when 325 is divided by 90. 55 Calculate the remainder when 58 is divided by 17. 7 Calculate the remainder when 1698 is divided by 563. 9 Cal
{ "pile_set_name": "DM Mathematics" }
- 4*b**2 - 12*b + 26. Let j(w) = -3*m(w) + p(w). Let r be j(2). Solve -2*g - 2*t + 5 - 1 = 0, 2*g = 5*t + r for g. 3 Let l(t) = -t**3 + t**2 + 13*t + 18. Let s be (68/(-12) + 5)*3. Let k be l(s). Solve 0 = 3*d + 3*b - k + 13, -3*b - 3 = 0 for d. -2 Suppose -78*a - 4*o - 8 = -80*a, -2 = o. Solve -x - 3*r - 8 = a, -19*x + 20*x + 5*r + 16 = 0 for x. 4 Let i(v) = 12*v**2 - 10 - 7*v**2 - 6*v**2 + 8*v + 0*v**2. Suppose -11*y + 5*y = -36. Let g be i(y). Solve g*l + 4*o = -3*l + 5, 2*l - 2 = -4*o for l. 1 Let q be 616/(-539)*35/(-4)*2. Solve -22*d = -17*d + 5*u - q, 5*d - 20 = u for d. 4 Suppose 5*i = -15, 16*i = -n + 13*i + 9. Solve -87*a + 3*f = -90*a + 18, 5*f = -a + n for a. 3 Suppose 2*u - 3*g = -3, -4*g + 17 + 4 = 3*u. Suppose -k = -q - 10 + 21, 0 = u*q - 4*k - 35. Let f be (-6)/4*(-2 - 14). Solve -h + t = 3*h + f, t = h + q for h. -5 Let r(j) = 3*j**2 + 5*j + 9. Let d be r(-6). Let l = 91 - d. Solve 0 = -3*c + c - l*o, 7 = c - 5*o for c. 2 Let k(p) = p**3 - 2*p**2 + 3*p + 3. Let q be k(2). Let w = -17 + 21. Let o = q - w. Solve -o*b = -4*g + 3, 3*b - 2*g = -5*g + 9 for b. 1 Suppose -t = a, -3*a + 145*t = 140*t - 16. Solve -j = a*d - 5, 5*j + 6*d - 10*d = -31 for j. -3 Suppose -b - 4*i + 20 = 16, 5*b + 3*i = 88. Solve -4*u - o + 1 = 0, -23*u = -b*u + 2*o - 2 for u. 0 Let u = -79 + 280. Suppose -26 = 35*p - u. Solve 2*s = -2*o - 12, p*o + 11 = -3*s - 15 for o. -4 Suppose 21*h = 40*h + 2660. Suppose o + 74 = 215. Let i = o + h. Solve -4*w + 16 = 3*x, -2*x + 4*w - i = -5 for x. 4 Let y be 98/16 - (-15)/(-120). Suppose 4*w = 4*b - 16, -2*w - y = w. Solve -14 = -5*o + 2*o + b*a, -4*o - a + 4 = 0 for o. 2 Let j be 8 - -8*81/(-6). Let x = -85 - j. Solve -f + 16 = -4*q - 4*f, -x = -q + 4*f for q. -1 Suppose -20*z + 611 = 6*z + 91. Solve k = 5*t + 29, -7*k + z = -2*k for t. -5 Let j = 13564 - 13557. Solve j = 3*t - i - 2, 5*i = t + 11 for t. 4 Suppose -2*c + 1 = -4*r + 63, 5*c - 27 = -4*r. Suppose -4*h - r*h = 0. Solve 6 = y - 2*d, 4*d = -h*y - 2*y - 20 for y. -2 Let y be -10 + 9 - (1 + -3). Suppose -6 = -4*f - 3*o, 3*f + 0*o + y = -5*o. Solve -12 = -4*r + 4*s, 0 = 2*r + f*r + s + 9 for r. -1 Let a(v) = -3*v - 38. Let x(b) = 2*b + 33. Let m(l) = -3*a(l) - 4*x(l). Let u be m(22). Solve 17 = w - u*j, 2*w = 2*j - j + 13 for w. 5 Suppose 432 = -10*t + 26*t. Suppose 18*d - t - 27 = 0. Solve -7*b + d*b + 7 = -3*i, i = 3*b - 4 for i. -1 Let r(m) = m - 34. Let p be r(34). Suppose -32 = -4*g + b, 5*b + 8 = -p*g + g. Solve -5*y = -2*n + g, 2*n - n - 4 = -y for y. 0 Let s be 3 + ((-30)/20)/((-2)/(-4)). Solve -i = -d - 1, 4*i - 2*d - 2 + s = 0 for i. 0 Suppose 1317*p = 1319*p + 12, 4*t - 82 = -5*p. Solve -3*b + 4*d = -23, 5*b - t = b + 4*d for b. 5 Let x be (10/(-8))/((-819)/156 + 5). Solve 6 = -x*j - 4*m - 11, -4 = -5*j + 3*m for j. -1 Suppose 177 = 6*o + 15. Let l be (-1 - -4 - (-27 + o)) + 0. Solve 2*g - 5*y = -l, -5*y + 9 = 4*g - 0*g for g. 1 Let b(x) = x**3 - 4*x**2 - 4*x + 21. Let q(k) = 2*k + 52. Let h be q(-24). Let f be b(h). Solve -n - f*m + 11 = 2*n, 2*n = 4*m for n. 2 Let g = 11045 - 11039. Solve 0 = -3*j - 3*q - g, 8*j - 11*j - 5*q = 16 for j. 3 Suppose -14*q = 7072 - 7114. Solve -25*v + 5*s = -28*v - 15, 0 = 4*v + s + q for v. 0 Suppose -3*k - 3 = -84. Suppose 8*f + f = k. Solve -2*g + 7 = -4*j + 3*j, 5*j - 17 = -f*g for g. 4 Let j be (38 + -40)/(1/(-14)). Solve 4*m - 3*v = -17, -4*m + 5 = -5*v + j for m. -2 Suppose 130*x - 136*x + 24 = 0. Suppose -21 = -x*w + n, 79*w + 3*n = 78*w - 11. Solve 3*q - 5*q = -s, -w*s - 4*q - 24 = 0 for s. -4 Let v(a) = -307*a - 2137. Let r be v(-7). Solve -2*q + 18 = -4*q + 4*x, 0 = -2*q - 2*x + r for q. 1 Let k(p) = 384*p + 8835. Let u be k(-23). Solve -u*n + 2*m + 3 = 0, 5*m = 4*n - 0 + 10 for n. 5 Suppose -27 = -4*w + 3*d - 19, 0 = 2*w + 3*d - 22. Solve 9 = -3*f, 2*t - 4 = w*f - f for t. -4 Suppose 2*x - 3*x = -k - 89, -3*k = -6. Let b = x - 86. Solve -b*f + 2*l = 26, -2*f = l - 3*l + 14 for f. -4 Let m(l) be the first derivative of l**3/3 - 29*l**2/2 + 82*l + 251. Let y be m(3). Solve -1 = o - w - 2, 3*w = 2*o - y for o. -1 Let a(h) = h**2 - 16*h - 101. Let m be a(-5). Solve 4*q - 4 = m*j, 3*q + 5 = -10*j + 5*j for q. 0 Suppose -3392*d + 3401*d - 207 = 0. Solve -2*p + 10 = 0, -l + 5*l + d = 3*p for l. -2 Let r be 3/(-6)*0/(-1). Let o(v) = -v**2 + 37. Let w be o(r). Suppose 110*z + 73*z - 46 = 160*z. Solve z*g - 9 = -x + 3*g, 0 = 5*x - 3*g - w for x. 5 Let y = 8779 - 8757. Solve 186*i - y = 182*i + j, 25 = 3*i - 5*j for i. 5 Suppose -8*b + 212 - 212 = 0. Solve 4*v = 2*m - b*m - 20, -3*m + 14 = -2*v for m. 2 Suppose 360*i = 343*i + 51. Solve q + 5*d = -0*q - 3, i*d + 13 = 5*q for q. 2 Let i be (3 + (-3)/9)*(-15)/(-20). Suppose 10*s = 6*s - 20. Let b = s + 11. Solve 22 = -5*t - 4*o, t + 2*o + i = -b for t. -2 Let y(t) be the third derivative of t**5/60 - t**4/4 + 2*t**3 + t**2 + 18*t. Let c be y(2). Solve -c*n + 28 = 4*x, -4*n + 4 = -4 for x. 5 Let s = 5018 - 5013. Solve 4*j = 15*b - 12*b - 4, -4*j = s*b + 36 for b. -4 Let s = 74 - 44. Suppose -3*z + s = 24. Solve z*x - 9 = -a, 5*a = x - 2*x for x. 5 Suppose 5*n + 235 = 10*n. Suppose -n = -5*m + 4*t - 235, -5*t = -3*m - 118. Let j be 1*-1 + (m/(-6))/6. Solve g = 3*c + 12, j = -5*c - 4*g + 3*g - 20 for c. -4 Let t = -2342 - -2344. Solve r = u, t*r + 28 = -0*r - 5*u for r. -4 Let k be (-7)/(-56) - 1/8. Suppose -2*w - 2*c + 44 = k, 2*w + 5*c = -2*w + 89. Suppose -h = -w + 17. Solve 3*z - 6 = 2*v, -h*v + 4*z - 6 = -2 for v. 3 Suppose -13 - 42 = 28*d - 39*d. Solve 3*z - 2*j + 0 - 4 = 0, d*j - 1 = 2*z for z. 2 Let s be (-118)/354 - ((-146)/(-6))/(-1). Solve -3*d + 6*i - 9*i = 21, -2*i = 4*d + s for d. -5 Let p(f) = -f**3 - 32*f**2 - 56*f + 123. Let a be p(-30). Solve 0 = -3*w + 2*u - a, -5*w + 2*u = -w + 2 for w. 1 Let r = -684 + 688. Suppose -r*g + 18 = b, 5*g = 4*b + 7*g - 44. Solve -o - f + 4*f = 14, b = -o + 2*f for o. -2 Suppose 305 - 255 = 25*a. Solve -r = -a*q + 13 - 11, q = 2*r + 7 for q. -1 Suppose -2*m + 9 = 1, 0 = -2*y - 5*m + 28. Suppose -3*w + y = -2*w. Solve -x - w = 2*n, -2*x + 9 = -5*n - 19 for x. 4 Suppose 5*s + 33 = y, y + 6*s - 5*s - 27 = 0. Suppose -r - 1 = 1. Let u be (-6 - -13) + (r - -5). Solve -p + 3*n = -u, y = 2*p - 6*p - 5*n for p. -2 Let u be 0 - 0*2/(-8). Let n be 5 - (-6)/((-12)/(-106)). Let w = 60 - n. Solve t - b = -t - 14, -3*t + w*b - 23 = u for t. -5 Let q(a) = -210*a. Let n be q(0). Solve -4*i + 27 = -5*s + 2, 3*s - 5*i + 15 = n for s. -5 Let l = -1536 - -1536. Solve u - 2 = l, 4*s = 3*s + 4*u - 13 for s. -5 Let h be 1/((-26)/(-6) - 4). Let l = 153 + -150. Suppose -20 = -v - 4*v. Solve -h*r = -v*b - 27, 0 = l*r + 3*b - 0*b - 6 for r. 5 Let k be (2 - 3)/(-1 + 34/33). Let b be (-3916)/(-121) - (-12)/k. Solve 4*u - 4*z = -b, 2*u - 5*u + 4*z = 28 for u. -4 Suppose 5*y - j + 3 = 0, 19*y + 12 = 15*y + 4*j. Solve -16*h + 20*h = 2*v, -3*h - v + 15 = y for h. 3 Let v(i) be the third derivative of -i**5/30 + 7*i**4/8 - 23*i**3/3 - 92*i**2. Let n be v(7). Solve n*r = -3*f + 6, 3*r - 2*f + 4 = -2*r for r. 0 Suppose 21*p - 23*p + 3*u = -2, -6 = -p - u. Suppose -4*i + 4 = -4*h + 24, -4*h + p = 4*i. Solve 2*w - 4*y = 4, h - 4 = -5*w + y for w. 0 Let o(a) = 10*a + 22. Let p be o(-2). Suppose -p*z + 6 = -2*m, -2*m - 1 = 5*z - 30. Solve 8*t - 3*t - 15 = -2*x, -m*t + 5*x + 6 = 0 for t. 3 Suppose 47*y + 61 - 129 = 13*y. Suppose -h = -3*d + 32 - 4, -5*d + 46 = -h. Suppose -2*p = p - d. Solve 37 = -p*z + y*f + 3*f, z - 2*f + 14 = 0 for z. -4 Let w be (25 + -26 + 0 + 2)*5. Solve -3*b + 5*d + 15 = -8*b, w*b = -2*d - 18 for b. -4 Let a be (-25)/10*56/(-20) + (-4 - -1). Suppose l + l - 2*t - 16 = 0, 5*t = -3*l. Solve a = -b + 5*f, 4 = 5*b + 4*f - l for b. 1 Let x be (-1080)/3*(44/(-8) + 2). Suppose x = -20*z + 15*z. Let c be ((-1)/4)/(21/z). Solve -c*q + 2*b + 1 = 14, -4*b = -q - 11 for q. -3 Let u(c) = 10*c**2 - 4*c - 12. Let d(k) = 9*k**2 - 4*k - 10. Let s(g) = 7*d(g) - 6*u(g). Let a be s(2). Solve 2*f + 2*t = 12, -3*t - 4 = -4*f + a for f. 4 Let d = 48 - 45. Let i(h) = -d*h - h**2 + 3 + h**2 - h**2 - 4. Let a be i(-2). Solve 15 = 3*f, -3*x - f + a = -4*x for x. 4 Let r(v) be the first derivative of v**2 - 41*v - 88. Let o be r(22). Solve -o*u + 4*u + 17 = -5*a, -u = 2*a + 5 for u. 3 Suppose 504 = -13*d + 16*d. Let r be (-3)/8 - (-4431)/d. Solve 6 = -x - x - 4
{ "pile_set_name": "DM Mathematics" }
the closest to -1/4? (a) 0.2 (b) m (c) -2 b Let u(m) = -m**3 + 2*m**2 + 3*m - 1. Let r be u(3). Let d = -6 - r. Let s be 4/3*(0 + -1). Which is the nearest to -0.1? (a) d (b) s (c) -1 c Let i = -134/7 + 19. Which is the nearest to -0.1? (a) 2/7 (b) i (c) 0.1 b Suppose 0*o + 4*b = -3*o + 2, -4*b + 50 = -5*o. What is the closest to 2 in 0.3, o, 5? 0.3 Let l = -0.59 - 3.71. Let m = -0.7 + l. Let d = -0.3 + -0.2. Which is the nearest to 1? (a) m (b) 4 (c) d c Let f = -5 - -7. Let u = -2.4 + f. Let n = -1.1 - -0.1. What is the nearest to 0.1 in u, n, -1/6? -1/6 Let r be (1 + -3 + 4)*5/(-20). Let y = 0 - -0.1. Which is the nearest to y? (a) r (b) 1/3 (c) -2 b Let v = -28 - -24. What is the nearest to 2/11 in 1/5, 4, v? 1/5 Let p = 12.8 - 13. Which is the nearest to 1? (a) 0.3 (b) p (c) 0.2 a Let y = 0.04 + -0.14. What is the nearest to y in -1/3, -1/6, 2? -1/6 Let o = -25 - -25.4. What is the nearest to -4 in o, 3/2, -2? -2 Let l = -25 + 29. Let b = -2.9 - -3. What is the nearest to 0 in l, b, -1? b Let q = -8 + 11. Let r = 1 - q. What is the nearest to -1/2 in r, 0.2, 3/7? 0.2 Let u = 5.13 - 0.13. Let v = 0.11 - 0.23. Let f = v + 0.02. Which is the closest to f? (a) u (b) -0.4 (c) -3 b Let u be ((-9)/33)/(6/4). Let w = 3 + -3.1. Which is the nearest to w? (a) 0.1 (b) u (c) 0.2 b Let x = 20 - 11. Let f = -8.9 + x. What is the closest to 1 in f, 1, -2? 1 Let s be (-1 + 1/(-2))*2. Let g = 2 - s. Let d = -0.05 - -2.05. What is the closest to 1/2 in -0.2, d, g? -0.2 Let c = 11 - 10. What is the nearest to c in 3, -3, 1/3? 1/3 Let m = 1 + -1. Let u = m - 1. Let v = u + 3. Which is the nearest to -0.1? (a) 0 (b) v (c) -1/2 a Let v = -37 - -186/5. Let b = 0.05 + -2.05. Let t = b - -1.5. What is the closest to 1 in t, v, 3? v Let z = -10.3 + 8.24. Let v = z - -0.06. Let o = -5 - -4. What is the nearest to -1 in v, o, -1/2? o Let o = -6 - -11. Which is the nearest to o? (a) 0 (b) -1/4 (c) 3 c Let x = -3/16 + 9/16. Suppose -3*f + 1 = 7. Which is the closest to 0? (a) f (b) -2/3 (c) x c Suppose 0 = -5*o + 2*x - 5*x + 22, -3*x + 17 = 4*o. Let h be (o/(5/2))/(-17). Which is the nearest to -1? (a) h (b) -1 (c) 0.2 b Let i = -69 + 484/7. Which is the closest to i? (a) -5 (b) -3/5 (c) 3 b Let t(l) be the second derivative of -l**4/12 + 4*l**3/3 + 2*l**2 - 2*l. Let w be t(9). Which is the closest to -0.1? (a) 0 (b) w (c) 0.2 a Let k be 1 + 3/(42/(-10)). Let n be (5*-1)/(0 - 15/6). Let f = 0.06 - 0.56. Which is the closest to n? (a) k (b) -4 (c) f a Let c be 7/(-28) + ((-27)/(-12))/1. Let l = -0.7 + -0.3. What is the nearest to 2/5 in l, c, -2/3? -2/3 Let m = -27/8 + 23/8. Let l = 0.7 + 2.3. Which is the closest to m? (a) 0.4 (b) l (c) 2 a Let c be (-8)/(-6)*9/6. Let u = -7 + c. What is the closest to 0 in 2/3, u, -0.5? -0.5 Let y be (-1 - (-248)/60) + -3. Which is the closest to 8? (a) -5 (b) y (c) -2 b Let j = -0.8 - -0.6. Let g = 0.2 - j. What is the closest to -0.1 in -4, g, 2? g Let z = 28/25433 - 5425648/30748497. Let t = z - -2/93. Let i = 61/24 - 15/8. What is the closest to i in t, -1, -1/7? -1/7 Suppose 5*c = -5*t, 0*t - 4*c + 16 = -4*t. Let h = -32 + 35.8. Let q = 0.2 + h. What is the closest to -2/7 in q, -0.4, t? -0.4 Let g = -20 - -21.3. Let c = -0.3 + g. Let f = 0 + -0.1. What is the nearest to c in 0.2, -5, f? 0.2 Let k = -3.58 - 1.43. Let j = -5 - k. Let g = j - -1.99. What is the closest to -1 in 4, -3, g? -3 Let p = 0.5 - 2.5. Let k = 88/873 - -1/97. Which is the nearest to 1? (a) -1 (b) p (c) k c Let k = 14 - 11. Let z = 0.07 + 0.23. What is the nearest to 0 in k, -4, z? z Let s be (-6)/(-27) + (-204)/(-54). Which is the closest to 1/2? (a) 5 (b) s (c) -1 c Suppose 4*z - 22 = 2*d + 8*z, -d - 3*z = 14. What is the nearest to -3 in d, 2/7, -1/4? d Let k = 0.55 - 0.5. Let l = -0.29 + k. Let w = -0.04 - l. Which is the nearest to w? (a) 0.1 (b) 3/4 (c) 1 a Let z be 8/2*(-2)/8. Let y = 12 + -6. What is the closest to y in z, 0.2, -1/3? 0.2 Let y = 3 + -2. Let r = 13/6 + -5/3. What is the nearest to r in y, -0.3, -3? y Let v = -0.5 - 0. Suppose 1 = -2*f + 3*f. Which is the closest to f? (a) 1 (b) 4/7 (c) v a Let p = -34 - -35. What is the nearest to 1 in p, -0.2, 0.2? p Let m = -2 - -20. Suppose 2*i - m = -5*f, 2*f - 5 = i - 4*i. Let h be 2/4*4/5. What is the closest to h in f, 3, 1? 1 Let u = 2.09 - 0.09. Which is the nearest to u? (a) -1 (b) -0.4 (c) 0.1 c Let s = -87/2 - -42. Let r be (-2)/4 + 21/66. What is the nearest to -0.1 in r, 3, s? r Let i = -0.06 - -2.06. Which is the nearest to -1/2? (a) -5 (b) -4 (c) i c Let h = 0.544 - 0.044. Which is the closest to 0.1? (a) 3 (b) -1/4 (c) h b Let j(o) = -o**3 + 6*o**2 - o + 6. Let g be j(6). Let i be (g - 1/2)/(-2). Which is the closest to 5? (a) -2 (b) 4 (c) i b Let h = -479/6 + 80. Which is the nearest to 6? (a) h (b) 2 (c) 1 b Let u = 24 + -20. Which is the nearest to 1/4? (a) u (b) 0 (c) -2/17 b Let l = -4.5 + 0.5. Let s = -10 + 7. Let t = 5 + s. What is the nearest to 0.1 in l, 0.3, t? 0.3 Let y = -0.5 - -2.5. Let l = -3 + 3.2. Let d = -0.046 - 0.054. What is the closest to d in l, y, -1? l Let f = -44 + 44. Which is the nearest to -3/2? (a) -3/2 (b) -1 (c) f a Let j = -4843/17 - -285. Let g = -9 - -7. Let w = g - -1. Which is the closest to w? (a) 0.5 (b) j (c) 2/9 b Let m = 0.06 - 4.06. Let w(x) = -x**3 + 3*x**2 - 1. Let k be w(1). Which is the closest to k? (a) 0.5 (b) m (c) 2/3 c Let j = 0.03 + -0.23. Let f = 0.08 - 4.08. Which is the nearest to 2/5? (a) f (b) j (c) 2/3 c Let w = -0.25 + 0.15. Which is the nearest to w? (a) -2/5 (b) -5 (c) -2/11 c Suppose 0 = -9*w + 6*w - 3. Let j be (2/8*w)/(-2). Which is the nearest to -3? (a) -1/3 (b) -2 (c) j b Let d = -0.354 + 2.354. Let g = -0.2 - -0.3. Which is the nearest to g? (a) -5 (b) 0.1 (c) d b Let f = 0 + 4. Let g(k) = k**2 - 3*k - 4. Let x be g(f). Let d = 2 + -2.1. Which is the nearest to x? (a) d (b) 3 (c) 0.5 a Let q = -16 + 15.3. Let b = -0.5 - q. Let j be (-10)/15 - (-1)/(-3). What is the closest to -1 in j, b, -0.3? j Let s be (0 - (-2 + 0))*1. Let v = -4.03 + 0.03. Suppose 2*z + y = 0, -4*y - 9 + 1 = 0. Which is the closest to z? (a) s (b) v (c) 2/7 c Let z = 20.914 - 0.014. Let d = z + -20. Let u = d + 0.1. Which is the closest to u? (a) 3/4 (b) 3 (c) 1/2 a Let u = -12 + 51/4. Let t be 8/9*(-1)/(-4). Which is the nearest to -4? (a) t (b) -0.1 (c) u b Suppose -9*a - 11 + 2 = 0. What is the nearest to -2/5 in 0.3, a, 0.5? a Suppose -3*m - 2*m - d + 64 = 0, 4*m - 40 = 2*d. Suppose 5*a = -3 - m. What is the nearest to 2 in 5, -2/17, a? -2/17 Let g(u) = -u**2 - 4*u - 3. Let b be g(-3). Suppose b = 2*a - 3 - 7. What is the closest to 0 in -1, 0, a? 0 Let l = 0.025 + 0.025. What is the closest to 1/5 in 3, 0, l? l Let o = -6.14 + 0.14. Let j = o + 4. Let m = j - -3. What is the nearest to 1/3 in 3, -0.3, m? -0.3 Suppose 5*c = -2*s + 11, -2*s + 10 = 2*c + 2. What is the nearest to c in 4, 0.2, -1? 0.2 Suppose 0 = 2*a - 0 + 4. Let h = 1.5 + -1.4. What is the nearest to h in a, 0.2, 4? 0.2 Let r = 0.15 + 4.85. Which is the nearest to 1? (a) -4 (b) 4 (c) r b Let s = 1.2 + -1.3. Let u = -3 + 2. What is the nearest to 2/11 in u, s, -4? s Let o = -67 + 66. Let w = 0.44 - 0.04. Which is the closest to o? (a) -3 (b) w (c) -2/5 c Let m = 0.34 - -0.06. Suppose -3*r + 0*q + 2*q = -9, -8 = -5*r + q. What is the closest to r in m, 3, -2/3? m Let i = 0 - -1. Let d = 9 + -8.9. Which is the nearest to -0.1? (a) d (b) 4 (c) i a Let s be (11/(-6))/(-11)*7 + -1. Which is the nearest to -0.1? (a) s (b) -0.3 (c) -1 b Let m = 0.4 + 1.6. Let h = m - 1.5. Let z = -2.5 + h. What is the closest to -1/2 in z, -4, 4? z Let r = -8 - -9. Which is the nearest to 1? (a) 2 (b) r (c) 0.1 b Suppose 0 = -0*b - 2*b - w - 4, 0 = 2*b + 4*w - 2. Let c = 14/5 + b. What is the nearest to -1 in -3/7, c, -3? -3/7 Let j = -13/17 - -23/119. What is the closest to -2 in j, 5, -1? -1 Suppose -4*t - 6 = 5*v, 3*t + 4*v + 5 - 1 = 0. Suppose 5*w = w + 4. Which is the closest to 0.1? (a) -1/2 (b) t (c) w a Let y = -19 - -19.2. Which is the closest to 2/3? (a) 2/19 (b) y (c) -5 b Let x be 4 - (141/21 - 3). What is the closest to x in -3, 1/3, 2/7? 2/7 Let t = 32
{ "pile_set_name": "DM Mathematics" }
t n(a) = 6*a**2 + 240*a + 1537. Calculate n(-32). 1 Let q(w) = 82*w**2 + 1469*w - 43. Determine q(-18). 83 Let r(s) = s**3 + 11*s**2 - 128*s - 982. Give r(-6). -34 Let q(w) = w**3 + 77*w**2 + 1765*w + 41498. What is q(-59)? 21 Let x(a) = 173*a + 58094. What is x(-336)? -34 Let p(d) = d**2 - 27*d - 890. Determine p(-21). 118 Let x(h) = 2350*h + 949400. Give x(-404). 0 Let x(s) = -2*s**3 - 249*s**2 + 4655*s + 106. Calculate x(-141). -176 Let a(y) = 2*y**2 - 1709393*y + 5128165. Determine a(3). 4 Let s(o) = o**2 + 1254*o + 136074. What is s(-120)? -6 Let j(c) = -3*c**2 - 1145*c + 26788. Determine j(-404). -280 Let i(c) = 2*c**3 + 98*c**2 + 75*c + 3536. Calculate i(-49). -139 Let q(j) = 2*j**3 - 65*j**2 - 1559*j - 104. What is q(-16)? 8 Let q(y) = y**2 + 250*y + 6416. Give q(-28). 200 Let y(x) = 564*x + 63036. Determine y(-112). -132 Let j(h) = 4*h**3 + 10791*h**2 - 54063*h + 31. Give j(5). -9 Let b(m) = -2*m**3 + 92*m**2 - 94*m + 157. Calculate b(45). -23 Let r(a) = a**3 + 44*a**2 + 106*a - 495. What is r(-41)? 202 Let d(y) = 6785*y - 5271955. What is d(777)? -10 Let y(p) = -14*p + 453. Give y(107). -1045 Let u(x) = -5*x**3 - 625*x**2 - 12*x - 1466. What is u(-125)? 34 Let t(y) = 7067*y - 650168. What is t(92)? -4 Let z(j) = 3*j**2 - 89*j + 81. Determine z(33). 411 Let m(a) = 835*a + 3213. What is m(-4)? -127 Let b(z) = 2*z**2 - 40093*z + 920876. Calculate b(23). -205 Let z(v) = -2529*v + 101071. Give z(40). -89 Let c(b) = 751*b - 65371. Give c(87). -34 Let s(j) = -j**2 + 99*j - 2435. Give s(37). -141 Let h(n) = -2*n**2 + 999*n - 3975. Determine h(4). -11 Let f(j) = -1141*j - 21671. Determine f(-19). 8 Let k(r) = -21*r**3 + 102*r**2 - 174*r + 421. Calculate k(4). 13 Let v(t) = 708945*t - 708950. Determine v(1). -5 Let j(b) = 1376493*b + 12388428. Determine j(-9). -9 Let l(k) = 31479*k + 3179379. What is l(-101)? 0 Let i(n) = -170*n + 28964. Determine i(173). -446 Let l(c) = 227*c**3 + 3*c**2 + 43*c + 43. What is l(-1)? -224 Let t(a) = 280*a**2 + 7497*a - 1694. Determine t(-27). 7 Let t(i) = 46670*i - 280614. Give t(6). -594 Let i(u) = -2*u**2 + 7*u + 15667. Determine i(-75). 3892 Let k(q) = 10531*q - 6402850. Give k(608). -2 Let b(v) = -8*v**3 - 53*v**2 + 49*v + 10. Calculate b(0). 10 Let v(z) = z**3 + 291*z**2 + 3332*z - 4470. Calculate v(-279). -6 Let u(n) = -286687*n - 1146736. Give u(-4). 12 Let d(s) = 12767*s - 12727. What is d(1)? 40 Let a(b) = 16*b**3 + 49*b**2 + 23*b - 48. Give a(-9). -7950 Let m(x) = -x**2 - 720*x + 43485. What is m(56)? 29 Let z(j) = 4*j**2 - 1284*j + 100645. Calculate z(136). 5 Let w(t) = 56*t**2 - 5691*t - 2123. Calculate w(102). 19 Let b(n) = n**2 + 9669*n + 57959. Calculate b(-6). -19 Let c(t) = 64*t**2 - 229*t + 769. What is c(3)? 658 Let n(p) = 182471*p + 912345. Determine n(-5). -10 Let w(q) = 21*q**3 + 4*q**2 + 220*q + 437. Give w(-2). -155 Let i(g) = -19*g - 499. Determine i(-29). 52 Let s(u) = -8*u**3 + 8*u**2 + 3*u - 134. What is s(5)? -919 Let m(z) = z**3 - 201*z**2 + 146*z - 70292. Calculate m(202). 4 Let y(l) = 3*l**2 + 745*l + 1062. Give y(-247). 74 Let f(j) = 24*j**3 - 171*j**2 - 250*j - 78. What is f(-1)? -23 Let a(d) = -2*d**3 + 666*d**2 - 53701*d - 586. Calculate a(196). 2 Let l(t) = 1097*t + 16703. Give l(-15). 248 Let v(j) = 1316*j + 29913. What is v(-23)? -355 Let r(x) = -38803*x + 698465. Determine r(18). 11 Let f(g) = 14*g**3 + 13*g**2 + 96*g + 219. Determine f(-3). -330 Let w(f) = 44*f**2 - 830*f - 41. Give w(19). 73 Let t(z) = 11*z**2 - 2540*z + 12527. Determine t(5). 102 Let o(i) = 6553*i + 655396. Determine o(-100). 96 Let d(g) = -g**3 - 51*g**2 + 1247*g - 87. Calculate d(-69). -432 Let g(z) = -3*z**3 - 49*z**2 - 116*z + 74. Determine g(-9). -664 Let c(m) = -321*m + 58390. Determine c(182). -32 Let r(u) = -2*u**3 + 18*u**2 + 639*u - 78. Determine r(-14). -8 Let r(j) = 71*j**2 - 388*j + 43. Give r(6). 271 Let m(h) = -3*h**2 - 267*h - 1280. Determine m(0). -1280 Let q(i) = 529*i - 3937. Determine q(7). -234 Let l(v) = 4*v**3 - 10*v**2 + 435*v - 2565. Calculate l(6). 549 Let f(o) = -6*o**3 - 440*o**2 - 27*o + 8690. Determine f(-73). 3 Let y(r) = -11*r**2 + 3216*r - 26131. What is y(284)? -3 Let j(s) = -11*s**2 + 23*s - 42. What is j(-11)? -1626 Let v(a) = -3296*a - 316408. Give v(-96). 8 Let y(l) = l**3 + 453*l**2 + 6569*l - 428. Calculate y(-438). 10 Let z(w) = -2224*w - 213522. Give z(-96). -18 Let v(h) = 214*h + 18831. What is v(-89)? -215 Let o(a) = 6454*a + 187118. What is o(-29)? -48 Let b(o) = -o**3 + 83*o**2 - 151*o + 5739. Give b(82). 81 Let s(b) = -6162*b - 17423. What is s(-3)? 1063 Let m(k) = -31189*k - 1153989. Give m(-37). 4 Let k(w) = 714*w + 3671. Calculate k(-5). 101 Let w(y) = -116*y**2 - 5361*y + 4277. Determine w(-47). 0 Let i(n) = -311*n + 3796. Calculate i(9). 997 Let r(h) = 24893*h - 23922173. Determine r(961). 0 Let w(b) = b**2 + 39*b - 19926. What is w(-162)? 0 Let n(a) = 9*a**2 + 650*a - 134. Calculate n(-72). -278 Let l(f) = 19*f**2 + 634*f + 154. Give l(-33). -77 Let v(t) = -12362*t - 49786. What is v(-4)? -338 Let l(v) = -v**2 + 10410*v + 114638. What is l(-11)? 7 Let c(o) = -2*o**3 + 83*o**2 + 607*o - 288. Calculate c(48). -1104 Let w(l) = -l**3 + 156*l**2 + 391*l - 11867. Give w(158). -17 Let c(r) = 153*r - 4233. What is c(27)? -102 Let y(p) = -339*p + 1439. Give y(5). -256 Let z(w) = -2*w**3 + 470*w**2 - 5356*w + 309. Determine z(223). -583 Let c(j) = -47*j + 6228. Give c(107). 1199 Let f(x) = x**3 - 1485*x**2 + 8874*x - 8. Determine f(6). -8 Let p(w) = -w**2 - 4*w + 15107. Give p(129). -2050 Let a(q) = 105573*q - 2428162. Determine a(23). 17 Let t(p) = 52*p + 809. Calculate t(13). 1485 Let l(t) = -364539*t - 1093650. Calculate l(-3). -33 Let n(y) = -67740*y - 203184. Calculate n(-3). 36 Let s(c) = 6*c**2 + 387*c + 3338. Give s(-10). 68 Let d(n) = 26639*n + 932302. Calculate d(-35). -63 Let o(z) = -z**3 - 3536*z + 10631. Calculate o(3). -4 Let g(v) = -477*v + 191729. Give g(402). -25 Let v(f) = -28*f + 5003. Give v(218). -1101 Let n(b) = -b**3 + 331*b**2 + 860912*b + 4440. What is n(1108)? 8 Let l(o) = 9577*o + 210644. What is l(-22)? -50 Let n(z) = -z**2 - 1603*z + 173931. Calculate n(102). 21 Let u(t) = -101*t + 17575. Determine u(175). -100 Let q(y) = 6*y**3 + 7*y**2 - 5*y + 1276. Calculate q(0). 1276 Let l(w) = 5*w**2 - 120*w + 158. What is l(20)? -242 Let h(i) = -i**3 + 1007*i**2 - 75006*i - 196. Give h(81). -196 Let w(n) = -n**2 - 503*n - 22645. Determine w(-50). 5 Let v(h) = 121*h**2 + 927*h - 1591. What is v(-9)? -133 Let f(i) = 180*i + 66964. Calculate f(-373). -176 Let w(r) = -r**3 + 28*r**2 + 24449*r - 544. Calculate w(-143). 28 Let c(g) = -179*g - 22090. What is c(-128)? 822 Let r(n) = 3*n**2 - 2267*n + 20146. Calculate r(9). -14 Let s(i) = 904*i + 217900. Determine s(-243). -1772 Let w(h) = 3*h**2 - 447*h + 16273. What is w(77)? -359 Let l(q) = q**3 - 272*q**2 + 2369*q - 320. Give l(263). 206 Let s(d) = 5*d**2 + 3688*d + 21950. Give s(-6). 2 Let p(g) = g**3 - 164*g**2 + 867*g + 396. Give p(6). -90 Let d(v) = -2685*v - 15395. Give d(-6). 715 Let j(l) = -5235*l - 2858308. Calculate j(-546). 2 Let m(b) = -4*b**2 + 370*b + 1541. Give m(-4). -3 Let s(t) = -26*t**2 - 305*t - 247. What is s(-7)? 614 Let v(s) = 1021*s - 8142. Give v(8). 26 Let g(u) = -728*u**2 - 2072*u - 55. Give g(-3). -391 Let m(x) = -1579*x + 1544256. Give m(978). -6 Let q(t) = 1187*t - 32093. Determine q(27). -44 Let i(n) = -n**3 + 26*n**2 - 163*n + 2262. Give i(23). 100 Let n(t) = -19*t**2 + 2218*t - 6521. Calculate n(3). -38 Let f(n) = -n**2 + 1261*n + 135676. What is f(-100)? -424 Let m(g) = 2*g**2 + 2302*g + 40710. What is m(-18)? -78 Let p(w) = -w**3 - 20*w**2 - 91*w + 66. Determine p(-12). 6 Let c(n) = -20*n**2 - 8655*n - 6502. Determine c(-432). -22 Let r(m) = -m**2 + 3113*m + 21871. Give r(-7). 31 Let o(u) = 13784*u - 2343276. Determine o(170). 4 Let f(o) = -2*o**3 + 51*o**2 + 1175*o - 29991. Determine f(25). 9 Let n(a) = 4980*a - 796796. Give n(160). 4 Let m(a) = 14*a**2 + 6574*a - 3914. What is m(-470)? -1094 Let z(o) = -8*o**2 + 3832*o + 19357. Give z(484). -3 Let z(s) = 9*s**3 - 9*s + 2. Calculate z(-3). -214 Let f(j) = 4*j**2 - 890*j + 38811. Give f(163). 17 Let d(a) = -489*a - 14157. Give d(-29). 24 Let u(d) = d**3 + 7*d**2 - 404*d - 2455. Give u(-6). 5 Let p(x) = 2422*
{ "pile_set_name": "DM Mathematics" }
8 = 0, -2*d + 4*t + 938 - 958 = 0 for d. -2 Solve 37*d + 3 = 39*d + m, -2*m - 30 = -14*d for d. 2 Solve -2*g + 1963*l - 1967*l - 4 = 0, 5*g + 10 = 5*l for g. -2 Solve 0 = -2*v + 5*g + 7, g + 93 = 92 for v. 1 Solve -3*u = -s + 1, -4*u - 1 = s + 12 for s. -5 Solve -4*y + 2*l + 16 = 0, -77*y = -76*y + l - 1 for y. 3 Solve -9 = -3*t + k, -10 = 4*t + 7*k - 47 for t. 4 Solve 14763*d - 60 = 5*p + 14765*d, -3*p - 4*d = 50 for p. -10 Solve 4*m - 5*a = 4, -9*m + 4*m - 4*a - 36 = 0 for m. -4 Solve -16*s - 4*i - 8 = -13*s, -205 = s - 4*i - 197 for s. -4 Solve 5*y = -4*u - 25, -2*u + 858*y - 860*y - 10 = 0 for u. 0 Solve -4*z + 15 = 5*o - 8, 4*o - 3*z - 6 = 0 for o. 3 Solve -97 = -3*o - 17*m, -41912*m + 33 = 2*o - 41907*m for o. 4 Solve 226*j + 2*r - 46 = 213*j, -j - r + 1 = 0 for j. 4 Solve 2*z - 3*y = 11, -417*y = -2*z - 416*y + 5 for z. 1 Solve -2*w - 4*o = -12, 0 = -2*w + 3*o - 138 + 129 for w. 0 Solve -115*l - 112 = -20*j - 118*l, -4*j + 32 = 3*l for j. 5 Solve -2*y + 3 = -k, -4*y - 1199 = 5*k - 1198 for y. 1 Solve 284*d + 7*m + 71 = 286*d, -d - 25 = 2*m for d. -3 Solve -4*v = 2*a - 2*a, -4*v + 30 = 2*a for a. 15 Solve 5*u = 7*n + 12, 3*u + 5*n - 208 + 210 = 0 for u. 1 Solve 4*q = 18710*k - 18706*k + 104, -5*k - 80 = 5*q for k. -21 Solve -u = 5*h - 3, -11*u - 12 = -15*u - 4*h for u. 3 Solve -760*b + 762*b + 8 = y, 4*b + 3*y + 26 = 0 for b. -5 Solve -21 = -4*y + 3*d, -8*d + 12*d + 9 = -y for y. 3 Solve -25 = -5*o + 10*o - 4*t, -3*t = -15 for o. -1 Solve -1211 = -4*j + 5*b - 1188, 0 = j - 2*b - 5 for j. 7 Solve -q - 303*r = -306*r - 5, -2*q - 2 = -3*r for q. -7 Solve -5*o + 20 = 0, 92*g = 89*g + 5*o - 32 for g. -4 Solve 18 = 2*q + 2*n, 212*q - 216*q + 4*n + 44 = 0 for q. 10 Solve -2*b + 13 = -5*y, -3*b + 6 + 10 = -4*y for y. -1 Solve 4*k - 151 = -9*r, -r = -91*k + 104*k - 406 for r. 3 Solve 5*a = 3*l + 41, -198*a - 4*l + 20 = -194*a for a. 7 Solve 8*n = 7*n - 6, 0*v - 21 = -3*v + 5*n for v. -3 Solve -3 - 3 = 3*m, 0 = 2*v + m - 12*m - 50 for v. 14 Solve 0 = 5*w + 17 - 8 - 29, -3*u - 3 = -3*w for u. 3 Solve 0 = 2*f - 364*j + 359*j + 5, -3*f - 6*j - 21 = 0 for f. -5 Solve 5*k + 200 = -3*c + 153, 5*c - 5*k = -25 for c. -9 Solve -10 = -2*k + 2*s, -360*s - 31 = -3*k - 355*s for k. -3 Solve 11 = 3*s + 4*p, -4*s - 657 + 672 = 5*p for s. 5 Solve -2*n + 224 = -n + 229, -3*q + 5*n = -16 for q. -3 Solve g = -5*r - 2, 100*g = 98*g - 5*r + 6 for g. 8 Solve -l + 641*t = 643*t - 7, 3*t = 2*l + 28 for l. -5 Solve 5*i - 31 = 3*j + 13, -3*i + 40 = 5*j for i. 10 Solve t = -3*g - 5, 159*t + 2*g = 153*t - 30 for t. -5 Solve -4*o + 144 = -y, 0 = -3*y + 6472*o - 6474*o + 86 for y. 4 Solve -5533*g = -5537*g + i - 24, i = 3*g + 19 for g. -5 Solve -4785*h + 4780*h = r + 12, 5*r + 21 = -12*h for r. 3 Solve 2*p + 12*p + 3*w = 10*p, -p = 3*w - 9 for p. -3 Solve 317 = -2*f - 2*m + 319, 0 = -4*f + 5*m - 41 for f. -4 Solve -54*o + 57*o + 3*s - 6 = 0, 3*s = s + 8 for o. -2 Solve 0 = -k + 2*i + 5, 164*i - 85 = -5*k + 162*i for k. 15 Solve -3*j = -5*f + 27, f + 63 = 5*j + 86 for j. -4 Solve 4*o = 5*x - 6, 4*o - 428*x + 22 = -431*x for o. -4 Solve -v - 5*d - 30 = 2*v, -2*v - 25 = 5*d for v. -5 Solve 0 = -i + 6*i - 3*y - 26, 5*y + 54 = 11*i for i. 4 Solve -5*u + 5*d = 2*d + 13, -30 = 2*u + 5*d for u. -5 Solve -44 = -4*x - 4*s, 3*x - 57 = -4*s - 18 for x. 5 Solve -4*x = 5*j + 72, -1067 = 3*x - 1028 for j. -4 Solve c = -4*l - 12, -2*c - 17 = 33*l - 32*l for l. -1 Solve 5*a - 35 = -4*c, 3*a + 848 = c + 852 for a. 3 Solve -3*p + 28 = -74*m + 69*m, 3 = 3*m + 18*p for m. -5 Solve -133184*d + 133183*d - 3*t - 13 = 0, -2 = -2*d + t for d. -1 Solve -5*i = 3*a - 26, -5*a + 2*i + 71 = 69 for a. 2 Solve -b + 4*r = -0*b + 121, 0 = -10*r + 166 + 134 for b. -1 Solve 1742*l = 4*v + 1743*l - 13, -5*v + 3*l = -29 for v. 4 Solve 2*y - 1980 + 2012 = 3*c, 0 = -y - 4*c - 27 for y. -19 Solve -586*c - 4*f = -589*c + 3, 0 = -5*c - 2*f - 21 for c. -3 Solve 2*y - 3*b + 16 = 0, 5803 = -4*y - 5*b + 5859 for y. 4 Solve -14 - 2 = -0*z + 4*z - 4*v, -5*z = 11*v + 52 for z. -6 Solve 2*k - 203 = -41*b, 2362*b - 2357*b - 24 = -k for k. -1 Solve -6*v + 21 = 3*b, -b - v = 96 - 108 for b. 17 Solve -2*c - 108 = 56*w, -42*c = -3*w - 46*c + 2 for w. -2 Solve 2*s + 6 = 5*w, 236*w - 242*w - s = -14 for w. 2 Solve -1 = -4*n - h, h - 597 = 5*n - 596 for n. 0 Solve -230 + 222 = f + l, 5*f + 4*l = -37 for f. -5 Solve 3*y - 1 = -18*h + 16*h, 3*h + 4*y - 2 = 0 for h. 2 Solve -15*h + 12*h - 3*l = 18, -4*l = 2*h + 34 for h. 5 Solve 5 = -33*x + 35*x + p, -2*x - 3*p = -7 for x. 2 Solve -d + 37 = -10*n, -11*n + 25*n + 2*d - 14 = 19*n for n. -4 Solve -48 = 2*a + 4*f, 32*a + f = 36*a - 21 for a. 2 Solve -4*a = 5*r - 7, 5*a - 239 + 249 = 0 for r. 3 Solve -4*n + 2*j = 0, -40*j + 16*j + 21*j + 8 = -2*n for n. 2 Solve -10 = -2*r + 4*a, 3*r - 2*a + 27 = 34 for r. 1 Solve 5*a - 14 = -2*p, 53*p + 2*a = 51*p + 2 for p. -3 Solve 5*t - 28 = -c, -60 = 72*t - 77*t - 5*c for t. 4 Solve -7*f - 4*h = -11, 0 = -9*f + 234*h - 232*h + 7 for f. 1 Solve 3*g - 22*v = 34, g = -16*v + 14*v + 2 for g. 4 Solve -9*l + f + 21 = 0, 5*f = -l + 547 - 560 for l. 2 Solve -4*f = 50*n - 55*n + 5, 0 = -6*n + 10*f - 20 for n. 5 Solve n - 19 = -5*k, -9*k + 2*n - 21 = -2*k for k. 1 Solve -35 = -3*v + 4*z, 25*v - 28*v = 5*z + 10 for v. 5 Solve 10 = 3531*r - 3528*r + 2*u, r + 2*u = 10 for r. 0 Solve -i + 5 = 0, 17*p - 20*p - 6*i = -48 for p. 6 Solve 0 = 4*y + g - 17, 0 = 56*g - 57*g + 1 for y. 4 Solve 0 = b + 2*t, t = 5*b - 214 + 247 for b. -6 Solve 0 = 2*k - 3141*x + 3139*x - 28, 5*k + 5*x = -100 for k. -3 Solve -6 = m - 3*f, -22*f = -3*m - 32*f + 20 for m. 0 Solve 0 = -3*j - 3*y + 18, -10839*j + 2*y = -10844*j - 3 for j. -5 Solve -4*y + 3*s - 353 = -368, -4*s = -4*y + y + 20 for y. 0 Solve 4*z = -5*f + 4, z + 7456*f = 7454*f + 4 for z. -4 Solve -3*o = 2*x + 17, -4*x - 5*o + 102 - 129 = 0 for x. 2 Solve 2*v + 1369*i - 1364*i - 60 = 0, 245 = 51*v - i for v. 5 Solve a = -3*f + 68, 787*a = -5*f + 785*a + 115 for f. 21 Solve -5*v - 3*d + 456 - 443 = 0, v = -4*d - 11 for v. 5 Solve 0 = l - v - 3*v + 1, 4*l = -v + 294 - 315 for l. -5 Solve 3*t - 8 = 2*x, 167*x = 166*x - 4 for t. 0 Solve w + 37 = -5*r, 7409*r = 3*w + 7412*r + 27 for w. -2 Solve 11 = -4*y + 9*g - 6*g, 0 = 3*y - 5*g + 22 for y. 1 Solve 2*s + 3 = -7*m, -m + 641*s = 646*s - 9 for m. -1 Solve -5*z = -3*o + 34 - 94, -83 = 13*o - 2*z for o. -5 Solve 3*v = 3*w + 5*w - 21, 0 = -5*v + w + 2 for v. 1 Solve -4*k + 100*m - 4 = 104*m, -4*k = -3*m - 24 for k. 3 Solve 4*o = 17*p + 14, p + 15 + 12 = -5*o for o. -5 Solve 2*y = 2*o - 6, 64 = -y + 2*o + 60 for y. -2 Solve -v - 5*r + 11 = 0, -4*r = -v - 3*r - 7 for v. -4 Solve 0 = 2*c - 3*q + 8, 4*c + 53*q + 12 = 58*q for c. 2 Solve -a + 529 = -4*r + 559, 16*r - 116 = 2*a for r. 7 Solve -9*n - 2*n + a - 52 = 0, 3*n + 18 = -a for n. -5 Solve -9*k - 142*z = -145*z - 33, 5*k - 4*z = 9 for k. 5 Solve 2*d + 334 = 332, 0 = 5*p + 2*d + 7 for p. -1 Solve -791*z - j - 30 = -789*z, 2*j + 21 = -z for z. -13 Solve -10 = 2*h, 367*b + 15 = 372*b + h for b. 4 Solve -5*r = -3*c - 15, 3*r + 35 = -5*c + 44 for c. 0 Solve -868*y - 5*m - 33 = -864*y, 3*y + 3*m + 21 = 0 for y. -2 Solve -11*w + 10*w = -5*g + 32, -3*g + w = -22 for g. 5 Solve -57*s = -i + 513, 2*i - 5*s - 480 + 435 = 0 for i. 0 Solve -5*o - 409 = 2*r - 374, -16 = -o - 5*r for o. -9 Solve 0 = -52*q + 53*q - 4*h + 16, -15 = -5*q + h for q. 4 Solve 13754*l = -k + 13756*l - 8, -2*k + 3*l = 11 for k. 2 Solve 5*h = 3*z + 1209 - 1210, 21 = 3*z for h. 4 Solve -5*m = 234*r - 231*r + 25, -4*m + 17 = -5*r for m. -2 Solve 5*a - 3*u - 38 = 0, -11*a = -15*a - 5*u + 23 for a. 7 Solve i + 9*w - 4*w - 67 = 0, 2*w - 18 = 4*i for i. 2 Solve -4*y - 8 = -3*h, 3*y = -y + 8*h + 12 for y. -5 Solve -4*f - 84 = -4*x, 4*f + 9*f + 100 = 8*f for x. 1 Solve -2*c - 32*d + 36*d = 8, -4*c + 19 = -d for c. 6 Solve -103*g - 3*p = -102*g + 2, -g = 4*p + 1 for g. -5 Solve 2*w = 4*n - 34, 0 = n - 4*w + 31 - 36 for n. 9 Solve -11*h + 9*h + 21*a = -95, 2*a = 4*h + 3*a + 25 for h. -5 Solve 189*z - 1 = 192*z + 4*k, 2*z - 2*k = -24 for z. -7 Solve 4*b + 3*a = -40, -2*a - 16 = -5*b - 20 for b. -4 Solve 0 = 2*z + 2*z - 16*m + 11*m, 3*m = 5*z for z. 0 Solve 0 = -50*k + 150, -13*o + 15 = -12*o + 4*k for o. 3 Solve 0 = 30*g - 32*g - 8*z + 42, 0 = 3*g + 2*z - 13 for g. 1 Solve 26*a - 3*q + 18 =
{ "pile_set_name": "DM Mathematics" }
ve -4*y = 4*p + 12, -5*p + 25 + 10 = -5*y for p. 2 Solve -3*p - 5*c = -5*p + 14, 2 = 3*p + 2*c for p. 2 Solve -5*g - 25 = -4*j, -2*j = 16*g - 17*g - 11 for g. -1 Solve 2*g - 3*s = 1, 5*g - 19 = -s + 9 for g. 5 Solve -2*q + 5*r - 19 = 0, 9 - 29 = -5*q - r for q. 3 Solve 11*v = 10*v + 3*z - 11, 0 = 4*z - 12 for v. -2 Solve 3*p + 6 = j - 8, 4*j = -4*p + 8 for p. -3 Solve n + 17 = -4*l, l + 4*n = 8*n - 17 for l. -5 Solve 0 = 5*r - 2*x - 8, 13 - 4 = 2*r + 5*x for r. 2 Solve -2*d + 18 = 3*o + 6, -3*d = 0 for o. 4 Solve 15 = 2*j - b, -4*b = -4*j - 5*b + 15 for j. 5 Solve -15*i = -12*i - p + 15, 4*i = -5*p - 1 for i. -4 Solve -l = -c + 12 - 15, -6 = -4*c - 5*l for c. -1 Solve -10*h = -2*k - 6*h + 10, -2*h = 0 for k. 5 Solve 0 = 2*c - 4*y + 26, -2*c = -83*y + 82*y + 5 for c. 1 Solve 14*x - 2*u = 11*x + 2, -14 = 5*x + u for x. -2 Solve -3*n + 21 = 3*b, 0*b + 1 = -n + 3*b for n. 5 Solve 0*l - 4*l - 12 = 0, i + 6 = -2*l for i. 0 Solve s = 4*y + 2, 0 = -5*s - 4 + 14 for y. 0 Solve -5*z + j + 24 = -0*z, -2*j = 2*z for z. 4 Solve -2*w - i = i + 4, 5 = 5*w + 2*i for w. 3 Solve -n = 3*v - 0*n + 16, -n - 24 = 5*v for v. -4 Solve -3*l + 12 = x + 3, -5*l - 5*x = -15 for l. 3 Solve r - 5*k = 14, -2*r - 4*k = -0*k for r. 4 Solve -3*b - 4 = 4*f + 1, 4*b - 35 = 3*f for f. -5 Solve -k = -2*j - 7, -j + 13 = -5*k - 3*j for k. -1 Solve -5*m = 4*d + 18, -m - 6 + 8 = -2*d for d. -2 Solve -p - 4*m - 8 = 0, -p - 1 = 11*m - 14*m for p. -4 Solve -5*g + 2 = -3, 0 = -4*q + 2*g - 14 for q. -3 Solve 2*f - 3*x = 260 - 267, 0 = f + 4*x + 9 for f. -5 Solve -3*y + 4*j + 6 = 0, -2*y - 2*j + 4 = -6*j for y. 2 Solve 258*z - 5*l = 261*z, 4*z = 4*l - 32 for z. -5 Solve 2*f - 2 + 4 = z, -f - 1 = -z for z. 0 Solve -4*v - 2*q = 0, -5*v - 77*q = -80*q - 11 for v. 1 Solve 5*b - 25 = 5*f, 0 = -5*f + 2*b - b - 17 for f. -3 Solve -3*n + 0*t = 5*t + 24, 5*n - 5*t = 0 for n. -3 Solve -2*l = y + 2, 2*y + 5*l = -1 - 2 for y. -4 Solve -o - 3*f + 4 - 2 = 0, -5*o - 22 = -f for o. -4 Solve 4*v + 7 = 3*y, -4*v - y = -v + 15 for v. -4 Solve m = -5*h + 62 - 42, 4*h - 40 = 4*m for m. -5 Solve 2*i = -5*q - 0*i + 13, -3*i = 3*q - 15 for q. 1 Solve 2*y = -2*a + 4, 5*a - 26*y - 16 = -28*y for a. 4 Solve -5*d + 11 = -2*b, -b - 9 = -4*d + 1 for d. 3 Solve 14 = -j + 5*m, -4*j + 21*m = 17*m + 24 for j. -4 Solve 18*s - 20*s - 3*i + 10 = 0, 12 = s + 5*i for s. 2 Solve 5*d + 5*f - 29 = -9, 0 = 3*f - 3 for d. 3 Solve -5*t = 15, f - 6*f - 3*t - 4 = 0 for f. 1 Solve 2*q - 4*q - 5*x = 8, 2*q = 4*x + 10 for q. 1 Solve 3*u = 3*s - 9, 0 = 9*u - 6*u - s + 7 for u. -2 Solve 3*p = -2*n + 7, -p - 39*n = -44*n + 9 for p. 1 Solve 3*y = 2*c - 4, -5*y - 4*c + 3*c = 11 for y. -2 Solve 0 = -2*p - z, 4*z = -p - 6 - 1 for p. 1 Solve -2*n = 2*z + 4, 5*z - 9*n + 13*n = -11 for z. -3 Solve -5*o - 45 = 4*w, -4*o - w = -2*o + 15 for o. -5 Solve -h = -5*a + 8, 0 = 4*h + 5*a - 0*a + 7 for h. -3 Solve 10 = -d + 4*h - 3, -3*d + 21 = 3*h for d. 3 Solve -l - 5 - 5 = -3*m, l + 2*m = 10 for l. 2 Solve 4*o - 3*y + y = -8, -o + 12 = -4*y for o. -4 Solve -11*b + 15*b = -2*q - 12, 5*q + 2*b - 10 = 0 for q. 4 Solve 6*r - 10*r - 1 = -3*u, 2*r - 10 = -2*u for r. 2 Solve 10 = -0*k + k + 4*b, 0 = -5*k + 2*b - 16 for k. -2 Solve -f = -5*w - 27, 5*f - w - 35 = 4*w for f. 2 Solve -l - 4 = -3*r, 5*r - 12 = 3*l - 4*l for r. 2 Solve 0 = y - 5*g + 3*g - 1, g + 28 = -5*y for y. -5 Solve -5*h + 2*i + 11 = 20, 2*h + 5*i = 8 for h. -1 Solve 2*r - 2 = 5*h, 4*r + 82*h - 87*h - 4 = 0 for r. 1 Solve 0 = 18*l - 4*y - 88, 4*l - 6*l - 3*y = 4 for l. 4 Solve 0 = -44*o + 45*o + 4*t - 13, 0 = 4*o - 3*t + 24 for o. -3 Solve 4*n + 2*q = 0, 0 = -n - q - 3*q - 14 for n. 2 Solve -15 = 5*d, 2*g - 4*d = g + 17 for g. 5 Solve 2*r - 4*l = -2, 7 = -3*r - 0*r + 4*l for r. -5 Solve 13*k - 4*c + 25 = 8*k, c - 3 = -2*k for k. -1 Solve 0 = -4*n - 20, 0 = 12*d - 16*d - 4*n - 40 for d. -5 Solve 6*d = 4*b + 2*d - 16, 5*d = -2*b + 8 for b. 4 Solve 6 = -3*f - 3*n - 12, 4*f + n + 21 = 0 for f. -5 Solve m + m + 5*j = 14, -3*m = j - 8 for m. 2 Solve -2*j - 13 = -x, -x - 1 = 4*j + 2*x for j. -4 Solve 5 = 2*m - r, -7*r + 5*r = -6 for m. 4 Solve 5*b - 10 = 2*h, -14*h + 9*h + 4*b - 25 = 0 for h. -5 Solve -5*l - 21 = c + 5, 5*c - l = 0 for c. -1 Solve 5*x = -5*c + 20, -4*x = -15 + 11 for c. 3 Solve 0 = 3*i - 5*h - 20, 5*i + 8 = -h - h for i. 0 Solve -2*a = 3*q - 20, 34*a - 29*a - 36 = -4*q for q. 4 Solve -5*f = 3*c - 5*c + 4, 7 = -5*f + c for f. -2 Solve -4*s = 5*m + 19, -10 = -2*s - 4*m + 8*m for s. -1 Solve -w + 17 = 5*s, -3*w - 8 = 3*s - 11 for s. 4 Solve -5*i + 116 = 111, 3*a = 5*i - 8 for a. -1 Solve 5*m = 5*j + 11 + 29, j = -2*m + 1 for j. -5 Solve -8*k = -6*k - x - 8, 0 = 2*k + 2*x + 4 for k. 2 Solve -2*n = -5*n - 15, -4*r + 3*n = -11 for r. -1 Solve -z = -3*z, 0 = 3*i - 2*z + 3 for i. -1 Solve 2*r - 27 + 21 = c, 4*c + 3*r + 13 = 0 for c. -4 Solve -13 = -3*p + 2*o, 7*o - 10*o = 6 for p. 3 Solve -2*m + 5*d = -2 - 5, 4*m - 3 = -d for m. 1 Solve 3*m + m + 8 = -4*a, 3*a + 4*m = -7 for a. -1 Solve 2*x - 2 = -5*s, 0 = 2*s + 10*x - 15*x - 24 for s. 2 Solve -2*a - 3 = -3*v, -a = 2*v - 0 + 5 for v. -1 Solve -2*t - 4*i + 19 = 7, -5*i + 26 = -3*t for t. -2 Solve 2*j = 5*j + m + 6, 0 = 3*m for j. -2 Solve -3*p = 3*k - 12, -6*k + k + p - 10 = 0 for k. -1 Solve 0 = -18*m + 23*m + y - 17, 0 = -2*m + 3*y for m. 3 Solve 10*i = 5*i + 3*l + 5, 2*l = -4*i - 18 for i. -2 Solve -a = 4*j + 23, 5*j + 23 - 1 = a for a. -3 Solve -2*t = -2, -3*t - 58 = -y - 61 for y. 0 Solve 4*s + 2*y - 10 = -3*y, s - 5*y - 15 = 0 for s. 5 Solve -2*s + 23 = 5*g, -5*s = g - 1 - 22 for s. 4 Solve -4*r - 10 = y + 10, -3*r + 5*y - 15 = 0 for r. -5 Solve 0 = -5*c + 4*y - 7, 17*y - 15*y = 3*c + 5 for c. -3 Solve 4*s + 15 = -3*z, 2*s - 10*z + 9 = -13*z for s. -3 Solve 5*x - 3*h = -2 - 13, 5*x + 15 = -5*h for x. -3 Solve 2*x + 5*b = 0, -b + 2*b - 2 = 0 for x. -5 Solve 0 = 3*f + 5*u + 20, 2*f + u - 2*u = -9 for f. -5 Solve -3*w - 6 = 2*t, -11 = 5*w - 3*t - 1 for w. -2 Solve 3*p = 2*u - 17, u - 4*p = -p + 16 for u. 1 Solve 9*o = 14*o - f, -5*f - 22 = -3*o for o. -1 Solve -4*y + 8 = -4*h, -y = 9*h - 5*h + 3 for h. -1 Solve -r = -o - 2, -5*r + 16 = 4*o - 12 for o. 2 Solve 5*m - 25 = 5*i - 20, 3*i = 5*m - 1 for m. -1 Solve -3*a + 0*h - 10 = h, -2*a = 4*h for a. -4 Solve p + 9 = 2*k, 3*k = 5*k - 5*p - 29 for k. 2 Solve 0 + 9 = -k + q, 0 = -2*k - 2*q - 2 for k. -5 Solve 11 = 4*q - 3*n - 0*n, -3*n = -3*q + 12 for q. -1 Solve 0 = 2*y - 0*y - 2*t - 12, -2*t = -5*y + 21 for y. 3 Solve -5*d = -5*o - 30, 3*d - 3*o = -6*o for d. 3 Solve v = -5*b + 6, -3*v - b - 34 = -24 for v. -4 Solve 4*x = -3*b - 14, -2*x = 4*b + 44 - 32 for x. -2 Solve c + 37 = 36, -w - 10 = 3*c for w. -7 Solve -3*k = -2*x + 13, -3*k - x - 1 - 6 = 0 for k. -3 Solve -d - 32 = 4*j, -17*j + 21*j = d - 40 for j. -9 Solve -5*p - 5*d = -2*d + 11, 3*d = 5*p + 29 for p. -4 Solve 5*t + 10 = -5*j, -7*j + 5*t - 3 + 1 = 0 for j. -1 Solve -103*r + 16 = -98*r + 4*q, 12 = -2*r + 3*q for r. 0 Solve -w = -4*s - 24, 22*s - 21 = -4*w + 23*s for w. 4 Solve 3*m - 30 = -5*y + 7*m, -3*y + 3*m = -21 for y. 2 Solve -c - 6 = q, -3*q + 22 = 33*c - 38*c for c. -5 Solve -c = 2*r - 4, -3*c = 2*r - 1 - 3 for r. 2 Solve 3*c = 18 - 6, -5*o + c = -6 for o. 2 Solve -2*o - 12 = 2*w, -2*w - 56*o = -53*o + 15 for w. -3 Solve -19*p = -24*p - x + 20, 0 = -3*p - 4*x + 12 for p. 4 Solve 4*s = -3*o + 7, 2*o - 3*s = -6*s + 5 for o. 1 Solve 2*t = 4, -2*t = -9*z + 11*z for z. -2 Solve -5*k + 11 = -2*t - 18, -3*k = -t - 17 for t. -2 Solve -575*n + 2*g + 13 = -580*n, 0 = 3*g + 12 for n. -1 Solve -v + 5 = -6*v - 2*p, 5 = -5*v + 4*p for v. -1 Solve r = -4*b - 9, -7*b - 18 = -5*b - 4*r for b. -3 Solve 2*t + 6 = z, -z - 2*t = -11 + 13 for z. 2 Solve -4*a - 29*o + 10 = -31*o, 0 = -5*a - 3*o + 40 for a. 5 Solve 21*a + 25 = 20*a - 4*w, -2*a - 35 = 5*w for a. -5 Solve -3*c = t - 0*t - 1, t = c - 3 for t. -2 Solve -2*s - j = 10, -2*j - 3*j - 10 = 2*s for s. -5 Solve -3*m = -g - 3, 5*m - 11 = 2*g - 7 for m. 2 Solve 2*l = 4*v - 7*v + 21, -l - 72 = -15*v for v. 5 Solve 0 = -5*r - 5*j + 10, 5*j = -4*r + 5 + 4 for r. 1 Solve -4*z - 14 = -p, 5*p - 6*p = 2 for z. -4 Solve -4*p - o - 5 = 14, -4*p - 22 = -2*o for p. -5 Solve -3*s + 4*f - 38 = -10, 0 = -5*s + 5*f - 40 for s. -4 Solve 5*k = -4*c + 5, -58*c + 59*c + 4*k = -7 for c. 5 Solve -3*o + 2*y + 10 = -
{ "pile_set_name": "DM Mathematics" }
n**2 - 5*n + 161. What is i(h) - 3*q(h)? -h**3 + 2*h**2 + h + 161 Let y(a) = -3*a + 4. Let t(p) = 16*p - 21. Let v(l) = -16*l + 21. Let w(x) = 6*t(x) + 7*v(x). Suppose -66 = -148*z + 142*z. Determine z*y(i) - 2*w(i). -i + 2 Let a(t) = -12*t - 12*t + 43*t - 8*t - 12*t. Let w(q) = 4*q - 2. Let j be (-5)/(15/(-6)) - 1. Determine j*w(x) + 5*a(x). -x - 2 Let c(x) = -3*x + 63. Let v be c(21). Let j be (v + (-21)/7)*6/(-2). Let s(f) = f**2 + 5*f + 2. Let p(a) = 2*a**2 + 11*a + 5. Calculate j*s(w) - 4*p(w). w**2 + w - 2 Let m(i) = 2*i + 5. Let s(l) = -1. Let p be -9*(17/((-51)/20) - -6). Calculate p*s(w) + m(w). 2*w - 1 Let h(g) = -2*g**2 + 4. Let l = 3 + 4. Suppose -18 = -l*k + 5*k. Let z(w) = -5*w**2 + 9. Let a(v) = v. Let b be a(-4). Give b*z(i) + k*h(i). 2*i**2 Let n(p) = 16*p**2 + 20*p - 20. Let l be (-6)/4*((-8)/(-6))/(-2). Let w(q) = -q**2 - q + 1. Determine l*n(m) + 20*w(m). -4*m**2 Let q(t) = -8*t - 8. Suppose -20 = -2*d - 0*x + 2*x, -3*x = 12. Let n(s) = s + 1. Determine d*n(v) + q(v). -2*v - 2 Let k be ((-2)/(-6))/((-5)/30). Let w(g) = g**3 + 7*g - 5. Let l(d) = -d**3 - 3*d + 2. Give k*w(n) - 5*l(n). 3*n**3 + n Let r(b) = 2*b**3 - 262*b**2 - 6. Let k(v) = v**2 + 1. What is -6*k(m) - r(m)? -2*m**3 + 256*m**2 Suppose -63*w + 20 = -58*w. Let f(m) = 4*m**3 - 5*m**2 + 5*m + 5. Let y(h) = 3*h**3 - 4*h**2 + 4*h + 4. Calculate w*f(b) - 5*y(b). b**3 Let z(i) = i + 2. Let n(v) = -12*v - 4. What is -n(u) - 6*z(u)? 6*u - 8 Let z(a) = a - 1. Let i be z(-4). Let j(c) = -11*c - 2. Let d = -23 + 30. Let s(h) = -d*h - 4 + 6 - 3 + 0. Determine i*j(n) + 8*s(n). -n + 2 Let q(i) = 6*i - 13. Let j(z) = 2*z - 4. Suppose -3*x + 2*s - 19 = 0, 5*s + 0*s - 10 = 0. Let f be x/(-2) - (-144)/32. Calculate f*j(l) - 2*q(l). 2*l - 2 Let o(z) = -3 + 115*z + 4 + 1 - 234*z - 4*z**2 + 121*z. Let s(d) = -7*d**2 + 5*d + 5. Determine 15*o(m) - 6*s(m). -18*m**2 Let f(x) = 23*x + 62. Let j(p) = 6*p + 17. Let u(l) = -6*f(l) + 22*j(l). Let w(t) be the second derivative of 5*t**3/6 - t**2/2 - t. Determine 3*u(r) + 4*w(r). 2*r + 2 Let w = -374 - -371. Let i(n) = -4*n**2 + n - 3. Let t(j) = -5*j**2 + 2*j - 4. Let h = 2 + 0. Calculate h*t(k) + w*i(k). 2*k**2 + k + 1 Let s(f) = -19*f**3 - 9*f**2 + 9*f. Let w(z) = -5*z**3 - 2*z**2 + 2*z. Let x(p) = -p**2 - 19*p + 214. Let a be x(-27). What is a*s(t) + 9*w(t)? -7*t**3 Let k(y) = -5*y + 8. Suppose 6*z - 20 + 2 = 0. Let w(q) = -2*q + 3. What is z*k(t) - 8*w(t)? t Let h(x) = -3*x**3 - 3*x**2 - 7*x - 4. Let q(c) = -2*c**3 - 2*c**2 - 6*c - 2. Determine -5*h(i) + 6*q(i). 3*i**3 + 3*i**2 - i + 8 Let f(x) = -198*x**3 + 5*x**2 - 15*x - 5. Let h(l) = -199*l**3 + 6*l**2 - 18*l - 6. Calculate 6*f(j) - 5*h(j). -193*j**3 Let x(u) = 2*u - 8. Let i(k) = 5*k - 23. Determine 4*i(h) - 11*x(h). -2*h - 4 Let d(k) = 2*k**3 - 1. Let a = -767 + 769. Let w(v) = -v + 1. Calculate a*w(b) + 2*d(b). 4*b**3 - 2*b Let w(m) = 2*m**2 + 7*m - 2. Let n(z) = 6 + 6*z - 13*z**2 + 23*z**2 - 9*z**2 - 7*z**2 - 27*z. Give -4*n(l) - 11*w(l). 2*l**2 + 7*l - 2 Let n be ((-3)/12)/(6/960*-8). Let f(r) be the third derivative of r**4/8 + r**3/2 + r**2. Let c(a) = 4*a + 4. Calculate n*f(g) - 4*c(g). -g - 1 Let w be 4 + 1 + (-4 - -4). Let c(d) be the first derivative of 5*d**3/3 - 12*d - 612. Let f(l) = 3*l**2 - 8. Calculate w*c(h) - 8*f(h). h**2 + 4 Let h(v) = v + 1. Let s(f) be the first derivative of -f**5/24 - f**4/6 - 11*f**3 - 10. Let j(d) be the third derivative of s(d). Give -3*h(w) - j(w). 2*w + 1 Suppose -91 = -9*i + 22*i. Let g(m) = 6*m**2 - 10*m - 2. Let l(p) = 2*p**2 - 3*p - 1. Determine i*l(o) + 2*g(o). -2*o**2 + o + 3 Let w(g) = -20*g - 4. Let y(f) = 3*f + 1. Give 3*w(z) + 21*y(z). 3*z + 9 Let b be 21/(-15 + 18) - (-22)/(-2). Let m(h) = -2*h**3 + h**2 + h + 1. Let f = -7 - -11. Let l(u) = -u**3 + u**2 + u + 1. Calculate b*l(t) + f*m(t). -4*t**3 Let g(w) = w**3 - w + 3. Let m(b) = -12*b**3 + 4*b - 29. Give -5*g(i) - m(i). 7*i**3 + i + 14 Let t(z) = -11*z**3 + 3*z - 5. Let h(r) = -5*r**3 - 75*r**2 + 2*r + 22. Let o be h(-15). Let a(w) = 4*w**3 - w + 2. Determine o*a(c) - 3*t(c). c**3 - c - 1 Let g(t) = 4*t**3 - t + 2. Let v(x) = -x**2 - 29*x + 53. Let y be v(-31). Let n(a) = -17*a**3 + 4*a - 9. Calculate y*g(l) - 2*n(l). -2*l**3 + l Let w(k) = -175*k + 2. Let s(r) = -75601*r + 865. Determine 2*s(j) - 865*w(j). 173*j Let n(i) = 18*i**3 - 7*i**2 - 4*i + 6. Let q(a) = 40*a**3 - 15*a**2 - 9*a + 13. Determine -9*n(m) + 4*q(m). -2*m**3 + 3*m**2 - 2 Let a(d) = -2*d - 1. Let p(l) = l + 153. Determine 2*a(f) + p(f). -3*f + 151 Let i(x) = -8*x**3 + 6*x**3 - x**3 - 5*x**2 - 14*x**3 + 2*x**3. Let p(d) = 15*d**3 + 4*d**2. What is -4*i(q) - 5*p(q)? -15*q**3 Let i(t) = -t**2 - t - 1. Suppose 2023 = -2*z + 2031. Let m(s) = -2*s**2 - 4*s - 4. Let l = -1 - 0. Determine l*m(r) + z*i(r). -2*r**2 Let p be 15/(-3)*(-48)/(-200)*-5. Let n(i) = 7*i. Suppose -3*m - 10 = 2. Let t be m/22 - 20/11. Let c(k) = 2*k. What is p*c(j) + t*n(j)? -2*j Suppose -9*j - 17 = 1. Let l be ((-1)/2)/(2/(-4)). Let s(b) = b**2 - b. Let g(t) = 2*t**3 + 2*t**2 - t. Calculate j*s(v) + l*g(v). 2*v**3 + v Let s(j) = -127*j. Let m(t) = -636*t. What is 5*m(k) - 24*s(k)? -132*k Let j(z) = 4*z**2 - z + 6. Let l = 640 + -653. Let p(k) = -k**3 - 9*k**2 + 2*k - 13. Determine l*j(f) - 6*p(f). 6*f**3 + 2*f**2 + f Let l(q) = -q**3 - q + 1. Let m(a) = -9*a + 9. Let v = 693 + -695. What is v*m(w) + 18*l(w)? -18*w**3 Let w(i) = -i**2 + i + 3. Let s(k) = 290*k**2 + k + 3. Determine 2*s(d) - 2*w(d). 582*d**2 Let j(d) = 4*d - 47. Let y(v) = -9*v + 96. Calculate -5*j(z) - 2*y(z). -2*z + 43 Let n(i) be the third derivative of 7*i**5/60 + i**4/6 + i**3 + 898*i**2. Let a(v) = -6*v**2 - 3*v - 5. Calculate -6*a(w) - 5*n(w). w**2 - 2*w Let y(f) = 6*f - 1. Suppose 8*j - 27*j = 57. Let n(t) = 6*t - 1. Determine j*n(g) + 2*y(g). -6*g + 1 Let v(m) = -117*m + 9. Let b(w) = 47*w - 3. Calculate -12*b(s) - 5*v(s). 21*s - 9 Let c(y) = 5*y**3 - 6*y. Let b(j) = -2*j + 4. Let x be b(5). Let o(f) = 0*f**3 - 82*f - 4*f**3 + 87*f. What is x*c(q) - 7*o(q)? -2*q**3 + q Let x(c) be the third derivative of 0*c + 3*c**2 + 0 - 1/6*c**4 + 3/2*c**3. Let y(l) = l - 2. Give -4*x(n) - 18*y(n). -2*n Let v(l) = -l + 8. Let m(b) = -3*b + 174. What is -m(q) + 6*v(q)? -3*q - 126 Let d(h) = 5*h - 2. Let x(v) = -6*v - 4. Let p(l) = -7*l - 5. Let k(g) = -5*p(g) + 6*x(g). Calculate -d(b) - 4*k(b). -b - 2 Let z(y) = 5*y**2 + y - 4. Let u(r) be the second derivative of 0 + 3/2*r**2 - 16*r + 0*r**3 - 1/3*r**4. Determine -3*u(j) - 2*z(j). 2*j**2 - 2*j - 1 Let m(o) = 285*o**3 - 4*o + 8. Let s(p) = -286*p**3 + 5*p - 10. Give 5*m(j) + 4*s(j). 281*j**3 Let j(b) = -b - 2. Let r(o) = 3*o - 10. Give 4*j(c) + r(c). -c - 18 Let v(y) = 2*y**2 - 3*y. Let u(t) be the second derivative of t**3/6 + 2*t. Let z = -5 + 7. Suppose 3*f - 21 = 3*q, 4*q + 0*q + 20 = z*f. Give q*u(d) - v(d). -2*d**2 Let l(j) = j - 11. Let x(h) = -91 + 28 + 31 + 36. What is -4*l(k) - 11*x(k)? -4*k Let w(s) = s - 2. Let y(f) = 5*f + 7. Let o be (-18)/8 + (-1)/(-4) + 8. Let u(n) = -11*n - 15. Let z(v) = o*u(v) + 13*y(v). Determine -4*w(i) - 7*z(i). 3*i + 1 Let z(i) = i**2 - 6*i + 4. Let d(r) = 3*r + 1408 - 2*r - 1408. What is -4*d(j) - z(j)? -j**2 + 2*j - 4 Let d(r) be the third derivative of 0*r + 5/24*r**4 + 0 + 1/60*r**5 + 6*r**2 - 5/6*r**3. Let v(i) = -i**2 - 4*i + 4. Give -4*d(q) - 5*v(q). q**2 Let f(z) = 9*z**2 - 17*z + 17. Let b(w) = -3*w**2 + 6*w - 6. Determine -17*b(c) - 6*f(c). -3*c**2 Let d(p) = 1 + p**2 - 2*p**2 + 0. Let o(u) = -6*u**2 - u + 4. Let h = -339 + 340. Give h*o(v) - 4*d(v). -2*v**2 - v Let j(b) = -4*b**3 + 166*b**2 - 2*b. Let z(u) = 9*u**3 - 331*u**2 + 5*u. Give 5*j(m) + 2*z(m). -2*m**3 + 168*m**2 Suppose 5*n + 35 = 5*r, -5*n - 2*r - 28 = -n. Let a(m) = -3*m - 3. Let c(f) = -5*f - 5. Calculate n*a(w) + 4*c(w). w + 1 Let l(g) = 20*g**3 - 9*g**2 + 4*g + 4. Let t(v) = 40*v**3 - 16*v**2 + 7*v + 7. What is 7*l(h) - 4*t(h)? -20*h**3 + h**2 Let c(a) = -a + 3. Let m = -8 - -11. Let f(g) = 1 - 5 + 3*g - 1 - 3. What is m*f(b) + 8*c(b)? b Let m = -38 - -42. Let u(z) = 3*z + 3. Let y(k) = k. Determine m*y(q) - u(q). q - 3 Let d(r) = 7*r**3 + 7*r**2 - 2*r. Let p(z) = 11*z**3 + 12*z**2 - 5*z. Determine -5*d(h) + 3*p(h). -2*h**3 + h**2 - 5*h Suppose 4*k - 13 = -3*b, 2*b + 31 = -12*k + 15*k. Let a(o) = 3*o**2 + 7*o +
{ "pile_set_name": "DM Mathematics" }
et u be ((-12)/15)/h + 1/5. Solve -4*i = 4 - u for i. -1 Suppose 73 = 6*b + 7. Suppose 12*a = 85 + b. Solve -a = -7*v + 20 for v. 4 Let j(y) = -6*y**3 - 206*y**2 + 140*y + 30. Let r be j(-35). Solve -r*p + 6*p = 72 for p. -3 Let y be -1 + 27*(-40)/(-30). Solve -50 + y = 5*x for x. -3 Suppose -3*b = -3*a - 30, -3*b + 6*b - 20 = 5*a. Let r be b/(-6)*(-12)/10. Solve 5*n + 12 = -r for n. -3 Let r = 67 - 34. Suppose -5*j - r = -16*j. Suppose -104 + 8 = -j*u. Solve 5*k + 7 = u for k. 5 Let u = 247 - 239. Suppose 0 - 40 = -u*m. Solve 7*n = m*n - 4 for n. -2 Let z be (-3)/(1/((-2)/3)). Let r(h) = -h**3 + h**2 + 9*h - 2. Let k be 7/(119/102) - (-3)/(-1). Let f be r(k). Solve -z + f = 5*o for o. 1 Let j be 6/4*(-4)/(-3). Suppose b + 1 = -j, 2*n - b - 11 = 0. Let d be (-2)/(-4)*n + 1. Solve d*o + 12 = 3 for o. -3 Suppose -x + 15 = 2*x. Let y be (-4)/62 + (-62874)/(-15469). Solve 5 - x = y*m for m. 0 Let t = 6 + -3. Let l = -291 - -326. Suppose -2*h + 7 = -g, 31*g - l = 26*g - 4*h. Solve -2*m - t = g for m. -3 Suppose 0 = 4*u - 4, -3*u + 61 = 3*k + 19. Let r(d) = -5*d + 70. Let a be r(k). Solve a*x = 2*x - 3 for x. -1 Let f = 16 - 13. Suppose -30 = i - 31. Let o = f - i. Solve 1 + 1 = -o*x for x. -1 Let b be ((-3)/1)/3*(0/18 + -5). Solve -63*m + 348 = -b*m for m. 6 Suppose -5*p = -167*u + 166*u - 93, 5*p - 3*u = 89. Solve -p*k - 26 - 12 = 0 for k. -2 Suppose 3*i - d - 32 = -6*d, 5*i - 3*d - 42 = 0. Let r(l) = -2*l - 3. Let g be r(-12). Let t = 23 - g. Solve -b - t*b + i = 0 for b. 3 Let s(d) = -d**2 - 283*d - 2200. Let j be s(-8). Let a = -2 + 5. Solve -i - a = -j for i. -3 Let d(i) = -2114*i + 4228. Let q be d(2). Solve 45*o - 106 - 209 = q for o. 7 Suppose 12880 = 2*b + 33*b. Suppose 6*m + b - 398 = 0. Solve -20 = -m*l - 45 for l. -5 Suppose -186*b + 163*b + 1240 = 205. Solve 44*r = b*r - 5 for r. 5 Suppose 173*o = 198*o - 9250. Solve 354 = -4*c + o for c. 4 Let j = 1941 + -1941. Solve j*w - 20 = 10*w for w. -2 Suppose -19 = -p - 14. Let l be (-407)/(-4) + p/20. Let o = 105 - l. Solve 0 = x + 1 - o for x. 2 Let h = 214 - 213. Let y be (0 + -1*h)*(-122 + 120). Solve w = -y*w for w. 0 Let p(l) = 3*l**2 - 10*l - 597. Let t be p(-25). Solve -24 = t*n - 1531*n for n. 8 Suppose 5*w + 7*w = -1524. Let s = w - -137. Solve s*m + 16 = 6*m for m. -4 Let n be ((-8)/(-10))/((-64)/(-640)). Solve -11*p = -n*p for p. 0 Let d be (-7)/14 - 786/4. Let t = 258 + d. Solve 0 = -10*w - t + 11 for w. -5 Let h(c) = 19*c - 60. Let b(p) = -36*p + 120. Let f(x) = -6*b(x) - 11*h(x). Let j be f(9). Solve -7*a - j = -6*a for a. -3 Let g = -8060 - -8310. Solve g*a = 242*a for a. 0 Let h(d) = -2*d**2 + 2. Let o be h(-4). Let r = -401 - -368. Let f = o - r. Solve 2*x - 11 = -f for x. 4 Let g = -4400 - -4421. Solve g*s - 3*s = 18 for s. 1 Suppose -29*f = -42*f - 2015. Let t be 6 - (6/(-5) - 651/f). Suppose -4*i + 0*i = 0. Solve -u - t*u = i for u. 0 Suppose -5*j + 0*j + 3*s + 49 = 0, s - 13 = -2*j. Let w be 1/(0 - (-2)/j). Suppose -w*p + 6 = -6. Solve p*z - 7 = -22 for z. -5 Let s(o) = -47*o - 27. Let h(x) = 16*x - 177. Let i be h(11). Let f be s(i). Solve -3*v + 5 = f for v. -5 Let p(m) = -4*m - 9. Let o be p(-10). Let h = -35 + 74. Let f = h - o. Solve r + r + f = 0 for r. -4 Suppose -5*i = 4*i - 777 + 165. Solve 0 = 15*b + i - 23 for b. -3 Let p be (-1673)/(-21) - (-116)/87. Solve 26*y + 49 = -p for y. -5 Suppose 603*p = 605*p - 1410. Solve 0 = -17*f - p + 654 for f. -3 Suppose 18*k - 19*k - 4*m + 4 = 0, -2*k = -5*m - 8. Solve 5 = -k*o + 5 for o. 0 Let u(h) = 6*h - 72. Suppose -2*k = 6 - 30. Let d be u(k). Solve 4*b + 4 = -d for b. -1 Suppose 35*h - 12 = 33*h. Let u(q) = q**2 - 3*q + 10. Let l be u(5). Solve -h*w = -2*w + l for w. -5 Suppose 2*f + 21 = -o + 6*o, 0 = -4*f + 4*o - 36. Suppose 2*y + m = 32 - 12, 4*y - 2*m = 24. Let z = y + f. Solve z = -0*i - i for i. 0 Suppose -h = 5*n - 25, -5*h = 3*n - 2*n - 5. Let j(a) = 3*a**2 + 3. Let i be j(2). Let w be 32/i - (-10)/(-75). Solve 3*f - n*f = w for f. -1 Suppose 724*z + 17 = 722*z - 5*t, 35 = 5*z - 3*t. Suppose 4*h - 28 = 24. Solve 0 = -z*d + h + 7 for d. 5 Let s(t) = 2*t**3 - 15*t**2 - 4. Let r be s(7). Let w = r + 68. Let d be (w/(-6)*-2)/((-2)/(-2)). Solve o + 3 = d for o. 2 Let q = -32695 - -32855. Solve 0 = 77*t + 225 + q for t. -5 Let i(z) = 33 - 5*z**2 + 7 - 9*z**2 - 3*z**3 - 4*z**3 + 5*z**3. Let h be i(-7). Solve -38*p + h*p + 4 = 0 for p. -2 Let m be (-20)/(-14) - 4/(-7). Suppose 62*j = 63*j - m. Let a be (j - (-6)/(-4))*2. Solve a = 5*b - 24 for b. 5 Suppose -15*d = 29*d - 2332. Solve 34*t = d*t for t. 0 Let y be (5/20)/(3/48). Suppose 11*h - 18 = 9*h. Solve y*c - c = h for c. 3 Let q be -8*1*(9 - (5 + 5)). Solve -52 + 12 = -q*n for n. 5 Suppose 0 = -k + 2*u + 29, -k - u + 25 = u. Let w be (0 - -1)/(-26 + k). Solve w + 8 = -3*j for j. -3 Let p(i) = -i**2 + 4*i + 22. Suppose 5*m - 16 = -4*c + 3, 0 = c - 5*m - 11. Let n be p(c). Solve -n*r = -13*r + 12 for r. 4 Let y = -167 - -181. Let p be (15/10)/(y/28). Solve -p*k + 8 + 1 = 0 for k. 3 Suppose 11 = u - g, u + 2*u - g - 23 = 0. Suppose -5*c + 40 = -u*c. Let w = c - -49. Solve 0*j + 3*j = w for j. 3 Suppose -2*g = 3*f + 9 - 30, 3*f - 15 = -4*g. Solve 15*p - 96 = -f*p for p. 4 Let l(p) be the third derivative of -p**5/60 - 5*p**4/12 + 7*p**3 - 63*p**2. Let q be l(-13). Let c be (-14)/(-18) + (-4)/(-18). Solve -q = -v - c for v. 2 Let y(z) = -z**2 - 14*z - 11. Suppose 11 + 15 = -2*i. Let s be y(i). Suppose s = -4*g + 22. Solve 5*b + 20 + g = 0 for b. -5 Let n(u) = 4*u**2 + 13*u + 5. Let g(v) = -v**2 + 14*v - 51. Let d be g(6). Let x be n(d). Solve 3 + x = -f for f. -5 Suppose -8*f - 885 = -3*f. Let x be 7/4 + f/236. Solve 0 = -7*t - x - 20 for t. -3 Suppose -4*d = 118 - 130. Let k be (2/(-3))/(d/((-225)/10)). Suppose -26 = -k*h - 3*g, 3*h + 5*g = -2*h + 30. Solve -h = 2*q + 2*q for q. -1 Let v = -43 - -13. Let g be (v/(-4))/(5/(-30)). Let y be 168/90 - 6/g. Solve -4 = -n - y for n. 2 Let o = 876 - 473. Suppose -4*z + o - 355 = 0. Solve -4*k = 2*k - z for k. 2 Let y be (13 - -7)/(2/(-3)). Let d = -3 + y. Let w = 33 + d. Solve 0*l - 2*l = w for l. 0 Let g(h) = -h**2 - 8*h + 308. Let b be g(-21). Solve 287*l = 280*l + b for l. 5 Let u be (-2)/5 - -123*(-6)/(-45). Suppose -u*y + 19*y = 9. Solve 2 + y = 5*v for v. 1 Suppose 337*c + 303*c - 279040 = 0. Solve c*u - 426*u = 90 for u. 9 Let t = 1887 - 1773. Solve -9*u + t = 69 for u. 5 Let o be (-1211)/346 - 42/(-4). Solve -o*q + 78 = 19*q for q. 3 Suppose 5*f - 3*h - 2523 = 0, -f - f = 4*h - 1030. Suppose -33*s = -f - 153. Solve -9*r = -13*r - s for r. -5 Let p(k) = 10*k - 22. Let o be p(6). Suppose -39 = j - o. Let u be -1 + (0 - j)*4. Solve 12 = u*q - 0*q for q. 4 Let k = 31 - -13. Suppose -n = 13 + k. Let p = -37 - n. Solve 2*j = -3*j + p for j. 4 Let b(y) be the first derivative of -y**4/4 + 10*y**3/3 + 5*y - 7. Let c be b(10). Solve 2*r - 7*r - c = 0 for r. -1 Let g = -1019 - -1031. Solve 69*s = 71*s + g for s. -6 Suppose 18558 + 2070 = 27*q. Let n = q - 761. Solve 0 = 5*r - n + 18 for r. -3 Suppose 0 = -32*z - 202 + 1546. Solve -70 = z*u - 238 for u. 4 Let x(l) = 2*l + 4. Let k be x(0). Suppose -6 = -k*y + 2. Suppose -3*v + y = -4, 3*a - 4*v + 8 = 0. Solve a = 3*u - 7*u - 4 for u. -1 Let p = 7481 - 7472. Solve p*u - 36 = 21*u for u. -3 Let i = 144 - 132. Let c(o) be the third derivative of -o**4/12 + 13*o**3/3 - 5*o**2. Let y be c(i). Solve -2*w = y + 2 for w. -2 Let s be (-3 + 0)*(8 - (-110)/(-33)). Let w be 2 + s/5 + 4/5. Solve 9*o - 6*o = w for o. 0 Suppose 3 = 3*d - 3, -h = 2*d - 9. Suppose w - 2 = 4*o - 0, -h*o + 1 = -3*w. Let j be 592/40 + w/(-10). Solve -k + j = 4*k for k. 3 Let i(h) = -265*h. Let v be i(0). Solve -255*d + 251*d - 24 = v for d. -6 Let f(s) = s**2 - s - 130. Let y be ((-6)/10 - 0)/((-86)/1720). Let j be f(y). Solve j*h = 5*h - 9 for h. 3 Let s(w) = -51*w**2 + 447*w - 513. Let g(k) = 3*k**2 - 28*k + 32. Let l(t) = -33*g(t) - 2*s(t). Let v be l(-11). Let x = 6 - 4. Solve x = -v*r + 4*r for r. 2 Let y = 203 + -205. Let g be 1/1 - y - (-7 - -2). Solve -g = 4*b - 2*b for b. -4 Suppose 9*j - 5*j - p - 9 = 0, 4*j - 2*p = 10. Let r be (-7)/(-2) - 2/(-4). Suppose r*g - 4 = 5*w, -g - 3*w + j = g. Solve -2 = 3*s + g for s. -1 Suppose 3*i = 5*o - 9, 2*i + 3*i = 3*o + 1. Let w be 6417/1581 - (-4)/(-68). Solve i*u
{ "pile_set_name": "DM Mathematics" }
ose -3*f - 90 = -5*l + 108, 41 = l - 2*f. What is the remainder when l is divided by 21? 18 Let k(t) = -10*t + 5. Calculate the remainder when k(-2) is divided by 3. 1 Let m(l) = l + 36. Let x be m(0). Let y = x - 22. Calculate the remainder when (-159)/(-12)*-1*-4 is divided by y. 11 Let h(w) = w - 5. Let p be h(5). Suppose 4*f + p*f = 52. What is the remainder when ((-25)/(-4))/(3/12) is divided by f? 12 Suppose -31 + 1 = -g. Calculate the remainder when 36 is divided by (12/g)/(2/100). 16 Suppose -38 = -6*w + 100. Calculate the remainder when w is divided by 13. 10 Let t(f) = f**3 + 2*f**2 + 2*f + 2. Let m be t(-2). What is the remainder when 20 is divided by (2 + (-33)/6)*m? 6 Let t(b) be the third derivative of 1/60*b**5 + 7/24*b**4 + 0 - 7/6*b**3 - 3*b**2 + 0*b. Calculate the remainder when t(-9) is divided by 6. 5 Let v be 3/2*(-48)/(-9). Let h(o) = 2*o**2 - 10*o - 10. What is the remainder when h(v) is divided by 13? 12 Let r(q) = 2*q**2 + 30*q - 9. Suppose 0 = 3*z - 3*b + 8*b + 2, 5*b = -20. Calculate the remainder when r(-16) is divided by z. 5 Let t = 11 + 6. What is the remainder when t is divided by 10? 7 Let f = 34 + -12. Calculate the remainder when 86 is divided by f. 20 Suppose 0*b = 3*b - 2*n - 488, -5*n + 25 = 0. What is the remainder when b is divided by 28? 26 Let n(k) = 4*k + 58. What is the remainder when 22 is divided by n(-13)? 4 Let y(o) = 3*o**2. Suppose 60 + 32 = 4*x. Calculate the remainder when x is divided by y(2). 11 Calculate the remainder when ((-15)/(-2))/((-21)/(-56)) is divided by 11. 9 Suppose -3*q + 150 = -174. Suppose -5*u + 12 = -q. What is the remainder when u is divided by (-1 + 0)/(1/(-13))? 11 Let v(h) = 12*h - 21. What is the remainder when v(10) is divided by 20? 19 Let v(s) = 9*s + 29. Calculate the remainder when v(19) is divided by 68. 64 Suppose -2*l - 5 + 43 = 0. Let o = -2 + 6. Suppose 5*p - 3*j - 29 = 0, 39 = 5*p - o*j + 6*j. Calculate the remainder when l is divided by p. 5 Suppose 40 = 15*v - 10*v. What is the remainder when 45 is divided by v? 5 Let d = 81 + -57. Calculate the remainder when 44 is divided by d. 20 Suppose 3*m - 5*m + 10 = 0. Suppose -m*p - 2 + 7 = 5*z, -4*z - 20 = 0. What is the remainder when 15 is divided by p? 3 Let u = -66 + 45. Let f = 12 - u. Calculate the remainder when f is divided by 12. 9 Suppose -2*t - 3*t = -10. Suppose -t*r + 5*r - 54 = 0. Calculate the remainder when 51 is divided by r. 15 Suppose -2*l + 29 + 59 = 0. Let h(q) = 4 + 5*q + 1 + 2*q**2 - 2. What is the remainder when l is divided by h(-4)? 14 Suppose 10*v = 13*v - 5*s - 40, 5*v + 4*s = 79. Calculate the remainder when 193 is divided by v. 13 Let j(k) = k**3 - 3*k**2 + 4. Calculate the remainder when 11 is divided by j(3). 3 Let g(j) be the third derivative of j**5/2 - j**4/12 - j**3/6 + 5*j**2. Let w be -2*(0 + 2/4). What is the remainder when g(w) is divided by 11? 9 Let o be (15/20)/(1/4). Suppose -o = p - 2*p. Suppose 7 = -p*f + 25. Calculate the remainder when 16 is divided by f. 4 Suppose -g - w + 36 = 0, -w - 121 = -4*g - 2. What is the remainder when g is divided by 11? 9 Let v(p) = -2*p + 1. Let n = 3 - 9. Suppose 4*c + 114 + 64 = 5*i, -5*i + 5*c = -175. What is the remainder when i is divided by v(n)? 12 Calculate the remainder when (280/7)/(1/1) is divided by 14. 12 Suppose 0 = -0*a + 5*a - 10, 4*d - 378 = a. Suppose 23 - d = -6*s. Calculate the remainder when 22 is divided by s. 10 Let r(b) = -5*b. Let p be r(-1). Suppose 0 = 2*o - p*m - 0 + 1, -m = 5*o - 38. Calculate the remainder when 12 is divided by o. 5 Let f be (-2)/(-6) + (-2)/6. Let w(j) = -j + 15. What is the remainder when w(f) is divided by 6? 3 Let g = -9 + 25. What is the remainder when 31 is divided by g? 15 Let l(s) = 17*s + 10. Let w(d) = d + 1. Let j(k) = 2*l(k) - 22*w(k). What is the remainder when j(5) is divided by 15? 13 Suppose -2*m - 2 = -3*m. Let j = m - -21. What is the remainder when 67 is divided by j? 21 Let a be (-2)/3 + (-4)/(-6). Suppose -2*q + 5*s + 71 = a, -2*q - 4*s = -q - 16. Calculate the remainder when q is divided by (-222)/(-24) - 6/(-8). 8 Let a = 0 - -1. Let x = 3 + 1. Let s = x - a. What is the remainder when s is divided by 2? 1 Suppose -2 = -u - 1. What is the remainder when 3 is divided by u? 0 What is the remainder when 29 - (7 - (6 - 3)) is divided by 14? 11 Let c be -3 - ((-3 - -3) + -10). What is the remainder when 2/c + (-201)/(-7) is divided by 10? 9 Suppose w - 320 = -2*w - n, w - 104 = -3*n. Calculate the remainder when w is divided by 27. 26 Suppose 17*s - 15 = 16*s. Calculate the remainder when 24 is divided by s. 9 Let h(p) = -p + 6. Let u be h(6). Suppose 2*m + u*m - 4 = 0. What is the remainder when m/5 + 186/10 is divided by 10? 9 Let n be (-1 + -1 + 3)*3. Suppose -7 - 12 = -f + 4*a, n = -a. What is the remainder when f is divided by 3? 1 Let c = -4 + 53. Suppose 0 = -k + 1 + 16. Calculate the remainder when c is divided by k. 15 Let m be 44 + (0 - 2) - -3. Suppose 8*z = 3*z + m. Calculate the remainder when z is divided by 3. 0 Let m(x) = -x**3 + 4*x**2 + 4*x + 3. Suppose -5*w + 5*h = -35, 0 = -5*h - 5 - 10. Suppose -w*r = -r - 12. What is the remainder when 56 is divided by m(r)? 18 Suppose -9 = w - 13. What is the remainder when 11 is divided by w? 3 Let v(t) = 6*t**2 + 4*t + 2. Let l be v(-4). Suppose z = 1 + 3. Suppose 30 + l = z*k. Calculate the remainder when k is divided by 15. 13 Suppose -2*f = 5*q + 9, -3*q = -f + 7 + 5. What is the remainder when 75 is divided by (6 + 0)*(-13)/q? 23 Suppose 3*t - 60 = -0*t. Calculate the remainder when 57 is divided by t. 17 Suppose -3*h - h + 28 = 0. Calculate the remainder when h is divided by 2. 1 Let a = 56 - 0. Calculate the remainder when a is divided by 19. 18 Let k(a) = 5*a**2 - 5*a + 6. What is the remainder when 35 is divided by k(1)? 5 Suppose -17*k + 357 = 136. Calculate the remainder when 38 is divided by k. 12 Let a(g) = 24*g**2 + g. What is the remainder when a(1) is divided by 15? 10 Suppose -154 = -5*v - 2*v. Let n = -28 + 40. Calculate the remainder when v is divided by n. 10 Let w = 15 - 7. Let k = w + 14. What is the remainder when 65 is divided by k? 21 Suppose -3*j + 7*j = -12. Let p be ((-24)/j)/(2 + -1). What is the remainder when -2 - (p*-1 - 2) is divided by 5? 3 Calculate the remainder when 21 is divided by (((-130)/(-8))/5)/(2/8). 8 Let h(t) = t**2 - 6*t - 1. Let a be h(6). Let s = a - -6. What is the remainder when 9 is divided by s? 4 Let o = -45 - -104. What is the remainder when o is divided by 15? 14 What is the remainder when 36 is divided by (22/(-33))/((-2)/57)? 17 Let l(n) = -n**2 - 2*n + 1. Let t be l(-2). What is the remainder when 11 is divided by (t - 1) + (-8 - -14)? 5 Let v(p) = -p**3 - 7*p**2 + 9*p + 12. Let d(c) = c - 6. Suppose -2*w - 4 + 20 = 0. Calculate the remainder when v(-8) is divided by d(w). 0 Let u = -23 + 53. Calculate the remainder when 117 is divided by u. 27 Suppose 0 = 7*t - 372 + 43. What is the remainder when t is divided by 24? 23 Let h be (1 + (-3)/2)*-2. Let b be (3 - h)*1/(-2). What is the remainder when 1/b + 18 + 3 is divided by 11? 9 Let k = -36 + 41. Let o(v) = 2*v**2 + 3. Calculate the remainder when o(-2) is divided by k. 1 Let n(h) = h**3 + 7*h**2 + 4*h - 1. What is the remainder when 61 is divided by n(-4)? 30 Suppose d + 0 + 8 = -3*t, -d - 5*t - 18 = 0. What is the remainder when 43 is divided by d? 1 Let d(k) = -6*k**3 + k**2 + 2*k + 1. Let u = 5 - 0. Suppose 2*m - 4 = 0, u*v - m = -0*m + 63. What is the remainder when d(-2) is divided by v? 10 Let v be 1/4 + 21/12. Let l(a) = a**2 - 3*a + 5. Calculate the remainder when (v + -12)*-1 - 2 is divided by l(0). 3 Suppose 3*f - 1 = 2*f. Let h(x) = -4*x. Let s be h(f). What is the remainder when 24 - (2 + s + 0) is divided by 14? 12 Let j(w) = 2*w**3 - 11*w**2 + 6*w - 2. Calculate the remainder when j(7) is divided by 47. 46 Let l be 2/6 + 52/6. Let j = l - 15. What is the remainder when 11 + 0 - (4 + j) is divided by 4? 1 Suppose 108 = 3*z - 4*k, 154 + 26 = 5*z - 5*k. What is the remainder when 213 is divided by z? 33 Suppose -3*x = 5*q - 37 - 10, -2*q = 2*x - 18. Suppose -i = 4*i + q. Calculate the remainder when 2 - (-2 - i - 17) is divided by 7. 5 Suppose -3*n + 10 = -17. Suppose 0 = -3*r + d + n, -2*r
{ "pile_set_name": "DM Mathematics" }
i. -3 Let w(g) = -145*g + 5*g**2 - 18 - 13*g**2 - 2*g**3 + 122*g. Let s be w(-2). Suppose 0 = -0*i - 2*i. Solve -2*v + 5*l + 0*l + s = 0, 2*v - 3*l - 8 = i for v. 1 Let b be 30/3 + (1/3)/((-7)/(-21)). Solve -3*k + 6 = 0, -122*k + b = -q - 119*k for q. -5 Let c = 30 + -16. Let g(k) = -k**2 + 16*k - 24. Let n be g(c). Suppose 4*u = n*a - 3*a, -a + u + 3 = 0. Solve -4*b + 0 = -5*p - a, 3*p = -4*b + 4 for b. 1 Let a(k) = -95*k - 91*k + 137 + 256*k - 82*k. Let s be a(11). Solve -2*m - 2 = -2*y, 22 = s*m + 2*y - 1 for m. 3 Let v(q) = -q**2 - 27*q + 277. Let k be v(-35). Let u(d) = -3*d**2 - 8*d + 5. Let b be u(k). Solve 5*r = -3*s + 3*r + 11, 2*r = -b*s + 8 for s. 3 Suppose 0 = -5*y - 2*h - 190, 7*h = 4*y + 4*h + 129. Let a = y + 36. Solve 3*s + 7 + 2 = a, -17 = -2*p + 3*s for p. 4 Let s(v) be the third derivative of -v**6/120 - 11*v**5/60 - 5*v**4/24 - 25*v**3/3 - 24*v**2. Let u be s(-11). Solve r - u*c = 2*r - 22, 2*r = c for r. 2 Let r = 45 - 45. Suppose -k + 10 = 3*v, -k + 3*v = -r*k + 2. Suppose 3*u + k - 1 = -2*c, 4*u + 3 = -3*c. Solve c*m = 0, -2*x + 0*m = -m - 6 for x. 3 Let z(u) = -26*u - 54. Let x(f) = -9*f - 18. Let c(s) = 14*x(s) - 5*z(s). Let v be c(-4). Solve -3*p - 2*l - 9 = 0, p - v*p - 2*l = 3 for p. -3 Let y be 214/6 + (-11)/(-33). Suppose -16 = 10*h - 14*h, 4*h = -5*x + y. Let s be (2 + -2)*(1 - 0). Solve s*l = -5*l - 5*g + 10, -2*l - x*g = 0 for l. 4 Let q(b) = 5*b**3 + 6*b**2 + 5*b. Let c be q(-1). Let y be 8 - 7 - -4 - c. Solve 4*a - j + 4*j = y, 4*j = -2*a + 2 for a. 3 Suppose 15 = -497*a + 500*a. Let y = 30 + -25. Suppose -3*d + 21 = y*k, 3*k - 35 = -2*d - 3*d. Solve 2*s - 1 = a, -4*p = s - d for p. 1 Suppose -9*h + 38 = 2. Let i be (-3)/h + (-92)/(-16). Let k = 256 - 229. Solve k = m + i*x, 4*m = -0*x - x + 13 for m. 2 Suppose 251 = 5*v - 224. Suppose 0 = -6*z + 5*z - 2*y + 23, v = 5*z + 5*y. Suppose 16*p = z*p + 2. Solve 5*m + 7*l = p*l, -4*m + 5*l = 0 for m. 0 Suppose -3*o + 39 = -597*g + 600*g, 4*o + 2 = 2*g. Solve 0*a - 3 = -3*a - 4*k, -a - 4*k = -g for a. -3 Suppose -2*n - 15 = -3*v - 8, 4 = 4*n. Let l = -12 - -21. Solve 11 = -3*d + 4*h, -v*d - h + l = -5 for d. 3 Let m(r) = -r**2 + 188*r - 7313. Let c be m(133). Solve -50*h - 16 = -46*h - 4*a, c*a = 4*h + 14 for h. -3 Suppose 0 = f - 4, -c - f = -2. Let r be 5 - 0/(c/(-1)). Let m(b) = b**3 - 13*b**2 - 32*b + 421. Let k be m(13). Solve r*t = k*n - 3*n + 4, 4*t = 2*n + 4 for n. -2 Let g = 17003 + -16967. Solve 35*n + 4 = g*n + 2*q, 2*n + 2*q - 2 = 0 for n. -2 Suppose 15 = -3*z, 2*x + 4*z = 32 - 46. Solve 6*m = 4*s + x*m + 18, -6 = -3*m for s. -3 Suppose 53*i - 34*i = 0. Let t be 3 + 1 + -2 - -38. Let c be (-2)/((-2)/t*2). Solve -x - c = 4*b, i*b - 2*b = 3*x + 20 for x. -4 Let i(l) = 8*l + 162. Let r be i(-20). Suppose -r*s - 16 = -2*f, 0 = 5*s - 0*s + 15. Solve f*d - 5*m = -10, 8*d + 8 = 4*d - 2*m for d. -2 Let a = -491 + 495. Solve 3*m + 4*b = 7*m, -2*m - 4 = -a*b for m. 2 Let m be ((-75)/20 + (-25)/20)*(-1 - 0). Solve l - 7 = -2*q, -4*q + 2*q - m = -3*l for l. 3 Suppose 16*k - 24 = -3*m + 13*k, -5*k = -2*m - 5. Suppose 3*u = 5*p - 7, 35 = m*u - 2*p + 3*p. Solve 0 = -2*w - 2*q + u*q - 22, 27 = -2*w + 5*q for w. -1 Suppose 4*c - 2*c - 40 = 0. Suppose 3*h + 17*p - 4 = 16*p, h - p = 12. Solve 4*u = 3*o + h, -u - 3*o + c = o for u. 4 Let z(n) = -n**3 + 169*n + 25. Let w be z(-13). Solve -h + 2*a = -1, 5*a = 30*h - w*h - 10 for h. 3 Suppose 0 = -3*x + 4*z + 25, 9*z - 31 = -5*x + 13*z. Let m(q) = -q**2 + 14*q - 2. Let c be m(13). Solve -3*u = 5*l - 4*l - c, 7 = -u - x*l for u. 5 Suppose 0 = -v + v - 3*v. Suppose i - u - 14 - 8 = v, -2*i = u - 35. Suppose 6*f - 11 - i = 0. Solve 4*j = 2*y + 8, 2*j + f*y + 20 = -0*j for j. 0 Suppose 0 = -6*z - 4*z + 19*z. Solve 5*l - j - 9 = z, 5*l + 5*j + 10 = -5 for l. 1 Let v be -3 - -2 - (-5 - -2). Suppose -3*f = -2*h - 8, -h + 6 = 3*f - v*f. Suppose 129 = -14*y + 57*y. Solve 0 = h*q - 2*t + 14, q + 6*t - y*t = 13 for q. -2 Let m = 221 + -241. Let w be 3/(-6)*m + -6. Let l be 3/(-3) + 8 + -2. Solve -4*v + 15 = w*p + 39, 5*p + 20 = l*v for p. -5 Let q(p) = 13 + p - 19*p**2 - 29 - p**3 - 19*p. Let i be q(-18). Let d be (-2)/(-4) - (-8)/i. Solve d = -t, -2*u + 3*t - 9 = u for u. -3 Suppose -80*v - 40*v - 57*v = -6195. Solve o = 6*o + 5*t + v, 5*t = -2*o - 29 for o. -2 Let m(v) = -96*v - 42. Let p be m(-2). Solve p*o - 147*o + 2*g = -11, 0 = 5*o - g + 1 for o. -1 Suppose -4*h = 6*h - 40. Suppose -h*c + a = -19, 5*c + 4*a - 32 = 8*a. Solve 4*t - 3 = -3*y, c*y - 1 + 16 = t for t. 3 Let n be (-3)/(-2)*(-684)/(-27). Let q = -219 + 252. Let o = n - q. Solve -i + 0*i = 5*z + 11, o*i = -4*z + 8 for i. 4 Let r(m) = -m + 6*m + 14 - 24 - 4*m. Let h be r(13). Solve 5*s = h*u + 10, 2*s - 4 = -2*u - 0 for u. 0 Suppose 48*z - 51*z + 5*p + 30 = 0, 4*p + 2 = -2*z. Solve h = -1 + 2, h - z = -4*r for r. 1 Suppose -j = -4*m + 10, -3*j + 4*j = m - 4. Let v be m*9/(-6)*-1. Solve -5*c - 16 = -2*f, 4 = 3*f + c - v for f. 3 Suppose -5*l + s - 3 = 2, -3*l - 15 = -3*s. Suppose 5*y - 9*v - 13 = -5*v, -3*y + v + 12 = l. Solve z - 2 = 0, y*z - z = -4*g + 20 for g. 3 Let l be (8 + 225/(-27) + -1)/((-4)/45). Solve l = -5*k - 5*h, 10*k - 13*k + 3*h = -21 for k. 2 Let t(o) = -o**2 - 24*o + 589. Let c be t(-39). Solve -3*p + s = -0*p - 8, 10 = c*p - s for p. 2 Let q(p) = p + 5. Let v be q(5). Let u = v - 7. Let t be ((-4 - -4)/3)/4. Solve 25 = w + 4*k, -w - u*k + t*k = -20 for w. 5 Let b be 28/(-10) - (-60)/75. Let q be -8 - -11 - (1 + b - 1). Solve -h + 2*t - 7 = 0, 5*h + q*t = 6 + 19 for h. 1 Let n(l) = -36*l - 288. Let t be n(-8). Solve -3*a - 3*h = t, -5*a - 4*h = -0*a for a. 0 Let h = 8920 + -8920. Solve -5*z + 3*j + 37 = h, 10*z - 7*z = -j + 11 for z. 5 Let c(j) = j**3 - 17*j**2 - 29*j + 202. Let d be c(18). Solve 2*i = d, -2*v + 5 = 3*v + 5*i for v. -1 Let w be 124/(-6)*84/(-56). Let n = -26 + w. Suppose -5*m + 11 - 1 = n*d, -8 = -2*d + 2*m. Solve 5*a = -3*l - 2 + 21, l + d*a - 13 = 0 for l. -2 Let t = -10116 - -10132. Solve t = -3*k - j, 2*j - 11 = -13 for k. -5 Suppose -4*c - 14*i + 31 = -13*i, c + 2*i = 13. Solve -6*v + 9*v = p + c, 4*p - 20 = -4*v for v. 3 Let l(f) = f**2 - 34*f - 154. Suppose 0 = 20*d - 2*d - 702. Let n be l(d). Solve 5*a + 4*z + n = 0, a + 24 = -3*a - z for a. -5 Suppose 11*v = -17*v + 20*v + 48. Solve 5*k + v = b + 30, -4*k + 2*b = -18 for k. 5 Let x = 1718 + -1713. Solve -4*f - 5*n - 9 = 0, -10 = x*n + 15 for f. 4 Let u be 30/18*(-1 + 4). Suppose -15 = u*k - 180. Let a be k/12 + (-3)/4. Solve -3*z + i - a*i + 2 = 0, z - 6 = -3*i for z. 0 Let m = -437 - -567. Suppose -m + 184 = 3*h. Solve -2*w - 2*w - 17 = -3*a, -2*a = -4*w - h for w. -5 Suppose 7*l = 12*l - 10. Let o(z) = z**2 + 14*z + 28. Let a be o(-14). Suppose 10*m - l = a. Solve 0 = -m*q + 15, -2*f = 2*q - 13 + 1 for f. 1 Let p be 16/6 + (-13)/(-3) + -4. Suppose 5 = -2*r + p*l, -l + 2*l = 3. Solve -6 = q + h - 0*h, -r*q = -2*h - 8 for q. -1 Suppose 3 = -i - 24*l + 19*l, 2*i = 3*l + 7. Solve -3*f + 2*t - 14 = -5*f, i*f - 2 = 2*t for f. 4 Let f(r) = r**3 + 2*r**2. Let x be f(-2). Suppose 4*j = m + 10, -3*m + 5 = -j + m. Let i = 19 - 16. Solve -3*l = k + 9, i = -l - j*k - x*k for l. -3 Let r = -15 - -20. Suppose r*m + 4*m = 0. Suppose m = 6*i - 6 - 12. Solve -3*h - 9 = -3*p, -p - i*p = 4*h + 28 for p. -2 Suppose -12*g + 11*g - 3 = 0. Let i be (-2)/g*6*(-20)/(-16). Solve -2*m + i = s, -2*m + 3*s - s - 10 = 0 for m. 0 Let o be (16 - 819/49)*(-9 + 2). Solve 0 = o*d - l + 14, 2*d - 6 = 5*l - 30 for d. -2 Suppose 3*a + 0*a + 3*g = 27, -3 = -g. Solve 0 = -5*s + 15, 5*r + 16 = -9*s + a*s for r. -5 Let y be (-1)/(4 + (12/(-224))/(128/9576)). Solve 0 = 3*a + 12, y*a = -o + 123*a - 21 for o. -1 Suppose -2*l - k + 8 = 0, l - 1 = k - 3. Let z = -2128 + 2129. Suppose d - z = l. Solve -13 = -d*m - 3*p + 11, 5*m = p + 16 for m. 4 Suppose 0 = 105*j - 1739 - 361. Solve -m - 4 = 5*b + 1, 0 = -2*b + 4*m + j for b. 0 Let l be 15/(-25)*-5 + 1. Let m = -2 + 5. Let s(r) = -3*r**2 + 57*r + 65. Let x be s(20). Solve 4 = l*n, -x*d - m*n + 10 + 13 = 0 for d. 4 Let f(i) = -11*i**2 - 770*i + 2. Let k be f(-70). Solve u - 2 = 0, 3*q + 0*u + 7 = k*u for q. -1 Suppose 0 = -3*p + b + 29, 11 = p + 2*b - 3*b. Let k(n) = -35*n - 244. Let a be k(-7). Solve 5*y - p = 4*m - a, 0 = -3*y for m. -2 Let c be (-4 - (-144)/20)*1 + 19
{ "pile_set_name": "DM Mathematics" }
+ 1. Let m(p) = o(p) + 2*v(p). What is 5*c(a) + 4*m(a)? -2*a**3 - a**2 - 4 Let n(r) = -6*r - 13. Let c(o) = -6*o - 16. What is -6*c(f) + 7*n(f)? -6*f + 5 Let f(y) = -y**2 - 2*y - 90. Let a(s) = -2*s**2 - 4*s - 182. Determine -4*a(j) + 7*f(j). j**2 + 2*j + 98 Let l be 0 + 2 + 3 + -1. Let x(s) = -s**3 + 8*s**2 - 3*s + 8. Let i be x(7). Let z(y) = -y**2 + y - 1. Let b(o) = 10*o**2 - 9*o + 9. Calculate i*z(m) + l*b(m). 4*m**2 Let w be ((-146)/(-24) + 40/(-480))/(-1). Let d(m) = -1 + 3 + 3*m - 16 - 20*m**2. Let r(p) = 7*p**2 - p + 5. Determine w*d(f) - 17*r(f). f**2 - f - 1 Suppose -3*l = -16 + 4. Let f(k) = -11*k + 3*k - 5 - l*k + 4*k. Let w(z) = -15*z - 9. What is 11*f(b) - 6*w(b)? 2*b - 1 Let i(t) = t**2 + 2*t - 1. Let r(u) = -363*u**2 - 14*u + 6. What is 6*i(n) + r(n)? -357*n**2 - 2*n Let r(x) = -13*x**2 + x. Let t(a) = -14*a**2 + a - 1. Determine 7*r(j) - 6*t(j). -7*j**2 + j + 6 Let t(c) = 20*c**2 - 20*c + 63. Let a(k) = 7*k**2 - 7*k + 21. Determine -17*a(h) + 6*t(h). h**2 - h + 21 Let v(d) = -3*d. Suppose -10*b + 20 = 10*b. Let w(q) = -q. Give b*w(f) - v(f). 2*f Let p(w) = -343*w**2 + 77. Let o(k) = 11*k**2 + 336 - 20*k**2 - 334. Give -77*o(m) + 2*p(m). 7*m**2 Let s be 1*6/(-42) + (-18)/21. Let u(w) = -w. Let r(k) = -8*k + 1. What is s*r(i) + 6*u(i)? 2*i - 1 Let l(a) = 3*a + 1. Suppose -2*w = -2*b - 8, 3*w - 6 = -4*b - 1. Let x(o) = -6*o - 1. Give w*x(j) + 5*l(j). -3*j + 2 Suppose 0 = 4*x + w - 136, -4*x = x - 5*w - 170. Let o = 35 - x. Let c(i) = -i**3 - 8*i + 2. Let n(j) = j. Calculate o*c(d) + 6*n(d). -d**3 - 2*d + 2 Let x(y) = -6*y. Let u(v) = -2*v + 21. Let k be u(9). Suppose -k*i + 24 = -15. Let z(l) = -i*l - 11*l + 17*l. Give -6*x(q) + 5*z(q). q Let q(c) = 4*c**2 - 2*c. Let t(g) = 2*g + 46. Let h be t(-25). Suppose 2*w - w = 2. Let x(j) = j**2 - j. What is h*x(r) + w*q(r)? 4*r**2 Let n be (-2)/(-6 + 2)*4. Let u(k) = 3*k**3 + 2*k**2 + 2*k - 2. Let c(z) = 7*z**3 + 5*z**2 + 5*z - 5. Determine n*c(b) - 5*u(b). -b**3 Suppose 2*x = 1 - 7. Let j(u) = -2 + 4*u - 1 - 1. Suppose 2*d - 4*g = -8, 4 - 3 = -d - g. Let y(a) = -5*a + 5. What is d*y(o) + x*j(o)? -2*o + 2 Let s(y) = 121*y**2 - 7*y - 10. Let c(r) = 40*r**2 - 2*r - 3. Calculate 7*c(g) - 2*s(g). 38*g**2 - 1 Let u(n) = 3*n - 1 + 0 - 2*n. Let y(g) = 5*g - 5. Let l(k) = -k**2 + 14*k + 17. Let a = 82 - 67. Let z be l(a). Determine z*y(i) - 11*u(i). -i + 1 Let m(k) = 3*k**3 + 3*k**2 + k. Let y = 97 + -102. Let z(j) = 2*j + 7. Let x be z(y). Let g(r) = -3*r**3 - 4*r**2 - 2*r. Give x*m(s) - 2*g(s). -3*s**3 - s**2 + s Let c(g) = -2*g**3 - 7*g**2 - 6*g. Let i(t) = -4*t**3 - 14*t**2 - 11*t. Let m = 182 - 188. What is m*i(q) + 11*c(q)? 2*q**3 + 7*q**2 Let l(o) = -o. Let g(q) = 11*q - 2. Let w(t) = t**2 + 27*t + 151. Let u be w(-19). Give u*g(n) - 2*l(n). -9*n + 2 Let a(h) = 504*h**3 + 27*h**2 + 5. Let k(o) = 252*o**3 + 16*o**2 + 3. Give -3*a(j) + 5*k(j). -252*j**3 - j**2 Let m(v) = 4*v**2 - 6*v. Let p(r) = -4*r**2 + 5*r - 4. Let a(o) = -16*o**2 + 19*o - 18. Let w(k) = -2*a(k) + 9*p(k). What is 7*m(h) + 6*w(h)? 4*h**2 Let s(w) = 31*w + 18. Let c(f) = 87*f + 56. Determine -6*c(b) + 17*s(b). 5*b - 30 Let k(r) = 6*r**2 + 2*r + 5. Let x(m) = 13*m**2 + 5*m + 11. Let o(v) = 4*v + 47. Let i be o(-14). Determine i*k(z) + 4*x(z). -2*z**2 + 2*z - 1 Let o(q) = q**3 + q - 1. Let g(y) = -7*y**3 - 5*y**2 - 5*y + 7. Give -g(t) - 6*o(t). t**3 + 5*t**2 - t - 1 Let r(l) = 2*l**2 + 3*l + 2. Let x(v) = -v**2 - 1 - 2*v + v + 0*v**2 + 0*v. Let z be ((0 + -2)/((-32)/64))/(-1). Determine z*r(t) - 9*x(t). t**2 - 3*t + 1 Let p(c) = -39*c**3 + 13*c**2 + 13*c + 13. Let i(l) = -l**3 - l**2 - l - 1. What is -13*i(w) - p(w)? 52*w**3 Let l(o) be the third derivative of -6*o**2 - 1/6*o**3 + 0 + 1/24*o**4 + 0*o - 1/60*o**5. Let v(x) = -5*x**2 - x**2 + 2*x - 3 + 1. Determine 4*l(c) - v(c). 2*c**2 + 2*c - 2 Let v(c) be the first derivative of c**2 + 2*c - 723. Let o(n) = 2*n + 3. Let g be -4 - (-3 - 0) - -5. Calculate g*v(s) - 3*o(s). 2*s - 1 Let c(s) = 3*s + 10 - 15 - 6*s**3 - 8*s. Let l(u) = u**3 + u + 1. Calculate -c(b) - 5*l(b). b**3 Suppose -7*k = -2*k - w + 218, 48 = -k - 2*w. Let b(s) = 16*s**2. Let c(n) = -143*n**2. Give k*b(h) - 5*c(h). 11*h**2 Let k(p) = 6*p - 7. Let s(x) = 11*x - 15. What is 5*k(l) - 3*s(l)? -3*l + 10 Let f(k) = -k**2 + 35*k - 102. Let b be f(32). Let z(i) = -12*i**2 + 6*i. Let l(u) = 11*u**2 - 5*u. Calculate b*z(c) - 7*l(c). -5*c**2 - c Let w(k) = 3*k - 4 - 7*k**2 + 3*k**2 + 2. Let b(u) = 7*u**2 - 5*u + 4. Let j be ((-7)/(-4))/7 + 1402/(-8). Let h = 178 + j. Determine h*b(d) + 5*w(d). d**2 + 2 Let g(l) = -7*l - 4. Let h be (-3102)/286 - (-6)/(-39). Let y(i) = -36*i - 21. Calculate h*g(r) + 2*y(r). 5*r + 2 Let p(r) = 14*r + 23. Let s(i) = -4. Let h(c) = -p(c) - 6*s(c). Let t(j) = -15*j. What is 2*h(l) - 3*t(l)? 17*l + 2 Suppose 3*x - 3 - 2 = -2*b, x = 5*b + 13. Let n(u) = -u**2 + 3 - 3*u**2 - x. Let s(q) = 3*q**2. Let f be 2/(-7)*(-42)/3. What is f*n(w) + 5*s(w)? -w**2 Let f be ((-256)/6)/8*3. Let s(w) = w**2 + 15*w - 12. Let b be s(f). Let j(p) = 2*p**3 + p + 4. Let o(u) = 3*u**3 + 2*u + 7. What is b*o(i) - 7*j(i)? -2*i**3 + i Let m(q) = 9*q**2 - 3*q + 3. Let s(t) = 18*t**2 - 5*t + 5. Suppose 15*b = -18*b + 99. What is b*s(y) - 5*m(y)? 9*y**2 Let d(z) = z - 4. Let n(w) = -5*w + 17. Let l be ((-6)/18)/((-1)/(-339)). Let c = -107 - l. Calculate c*n(k) + 26*d(k). -4*k - 2 Suppose a - 2*g - 50 = -0*g, 3*g + 165 = 3*a. Let o = a + -67. Let z(q) = q**2 - 5*q - 5. Let b(y) = -y**2 + 6*y + 6. What is o*z(p) - 6*b(p)? -p**2 - p - 1 Let z(t) be the second derivative of t**4/4 - t**3/3 + 11*t**2/2 + 2*t. Let i(k) = 2*k**2 - k + 6. Suppose 12*x + 8 = -52. Calculate x*i(o) + 3*z(o). -o**2 - o + 3 Let b(h) = 138*h + 12. Let j(w) = -68*w - 7. Give 3*b(u) + 5*j(u). 74*u + 1 Let k(q) = q + 1. Let l(j) = -330*j - 1 + 338*j + 5. Give 3*k(v) - l(v). -5*v - 1 Let j(u) = -7*u - 5. Suppose -t - 4*t = -2*r - 2, -3*t + 2 = -2*r. Let n(z) = -z - 1. Suppose -5*d = -2*x, 49*x - 46*x + 3*d = 21. Give r*j(k) + x*n(k). 2*k Let i(y) = y**2 + 6*y + 6. Let a(z) = -z - 1. Let u(k) = -4*a(k) - i(k). Let q = 3540 - 3537. Let l(v) = v**2 + 2*v + 1. Give q*u(d) + 4*l(d). d**2 + 2*d - 2 Let w(t) = 14*t**3 + 8*t. Let d be (-328)/32 - -5 - 2/(-8). Let a(v) = -9*v**3 - 5*v. Calculate d*w(p) - 8*a(p). 2*p**3 Let d = 293 + -286. Let h(i) = -4*i**3 + 7*i**2 - 10*i - 9. Let k(g) = -4*g**3 + 6*g**2 - 9*g - 8. What is d*k(f) - 6*h(f)? -4*f**3 - 3*f - 2 Let r(z) = -z**2 - 5*z - 104. Let v(g) = 3*g**2 + 17*g + 311. What is 7*r(f) + 2*v(f)? -f**2 - f - 106 Let d(p) = 12*p**3 - 4*p + 40*p**2 - 42*p**2 - 3*p**3 + 6*p**2. Let w(l) = -10*l**3 - 5*l**2 + 5*l. Calculate 5*d(b) + 4*w(b). 5*b**3 Let i(h) = -h + 1. Let o(d) = 2*d + 3. Suppose 497 - 525 = -7*g. Calculate g*i(k) - o(k). -6*k + 1 Let o(i) = -407*i**3 - 143. Let l(t) = t**2 + 10*t - 199. Let z be l(-14). Let m(k) = 17*k**3 + 6. Give z*m(j) - 6*o(j). 11*j**3 Let f = 3186 + -3185. Let x(w) = w**3 + w**2 - w. Let p(u) = -32*u**3 - 16*u**2 + 16*u. Calculate f*p(s) + 16*x(s). -16*s**3 Let q(x) = -9*x**3 + 6*x**2 - 6*x + 3. Let c(r) = -r**3 - r**2 + r - 1. What is -6*c(w) - q(w)? 15*w**3 + 3 Suppose -v = 5*l - 14, v + v = -3*l + 14. Let z be (-3)/l*16/12. Let t(n) = 5*n**2 + 21*n + 16. Let d(g) = -g**2 - 4*g - 3. What is z*t(h) - 11*d(h)? h**2 + 2*h + 1 Let m = -644 - -649. Let z(l) = -l**2 + 12. Let k(g) = g**2 - 12. Calculate m*k(q) + 6*z(q). -q**2 + 12 Let z(u) = -81*u**2 + 33. Let v = -1055 - -1053. Suppose -99 + 33 = 2*c. Let t(l) = 5*l**2 - 2. Calculate c*t(x) + v*z(x). -3*x**2 Let u(t) = -2*t + 8. Let s = -1594 - -1607. Let h(k) = -4*k + 17. Determine s*u(i) - 6*h(i). -2*i + 2 Let i(r) = r**3 - 3*r**2 - r - 15. Let o be i(4). Let d(l) = 2*l - 7. Let b be d(3). Let p(m) = m**3 + m**2 - 1. Let z(y) = -y**2 + 2. Give b*z(j) + o*p(j). -3*j**3 - 2*j**2 + 1 Let q(y) = 167*y**2 - 11*y - 35. Let k(v) = 84*v**2 - 6*v - 19. Give 11*k(r) - 6*q(r). -78*r**2 + 1 Let x(o) = 1833*o + 42. Let y(b) = 367*b + 8. Give 4*x(f) - 21*y(f). -375*f Let z(y) = 13*y**3 + 9*y**2 - 143*y + 9. Let i(j) = 3*j**3 + 2*j**2 - 36*j + 2. Determine -9*i(b) + 2*z(b). -b**3 + 38*b Let z(x) = -x**3 - 45*x**2 + 17*x - 9. Let d(k) = 11*k**2 - 4*k + 2. What is -9*d(j) - 2*z(j)? 2*j**3 - 9*j**2 + 2*j Let z = -14 - -16. Let f(p) = -7 - 3 - 5*
{ "pile_set_name": "DM Mathematics" }
ing order. -2, -3/4, -2/5, -0.3, -0.2 Put 3, 6, -20 in increasing order. -20, 3, 6 Sort 41, 4, -4, -2 in decreasing order. 41, 4, -2, -4 Sort -7, -4, -6, -5, 4. -7, -6, -5, -4, 4 Sort 1, -3, -1, -11, 3 in ascending order. -11, -3, -1, 1, 3 Sort -0.02, -4, -9, 3/7. -9, -4, -0.02, 3/7 Put 425, -4, -0.02 in descending order. 425, -0.02, -4 Put 0, -0.14, 1.9 in ascending order. -0.14, 0, 1.9 Put -12, 0, 5, 1 in increasing order. -12, 0, 1, 5 Sort 0, 1, -47/3 in increasing order. -47/3, 0, 1 Sort -33, -6, -10, -2. -33, -10, -6, -2 Put -0.1, -0.25, 9 in increasing order. -0.25, -0.1, 9 Sort 3, -21, -6, 1, 5 in increasing order. -21, -6, 1, 3, 5 Put 0, -1, -4, 22 in descending order. 22, 0, -1, -4 Sort -5, 1, -386. -386, -5, 1 Sort 0.06, 3/4, -3.5 in increasing order. -3.5, 0.06, 3/4 Sort -1, -4, 13, 5, 2 in increasing order. -4, -1, 2, 5, 13 Sort -7, -3, 7, 19, 1 in descending order. 19, 7, 1, -3, -7 Put 3/5, 945, 2 in decreasing order. 945, 2, 3/5 Put -156, -3, 3, -2 in decreasing order. 3, -2, -3, -156 Put -13, 5, -6/11 in descending order. 5, -6/11, -13 Sort 0.8, 0, -1/7 in descending order. 0.8, 0, -1/7 Put -3, -2, -45, 4 in decreasing order. 4, -2, -3, -45 Sort -12, -5, 1. -12, -5, 1 Put -2/119, -0.1, 5, 0.5 in increasing order. -0.1, -2/119, 0.5, 5 Sort -5/3, 2, -2/9 in increasing order. -5/3, -2/9, 2 Sort -1/4, 0.7, -1, -0.1 in decreasing order. 0.7, -0.1, -1/4, -1 Sort 16, 8, -4, 3 in descending order. 16, 8, 3, -4 Put 2, 5, -83 in ascending order. -83, 2, 5 Sort -8.7, 0.4, -4, -2 in increasing order. -8.7, -4, -2, 0.4 Put -4, 19, 5, -3 in increasing order. -4, -3, 5, 19 Sort 72, 0.1, 3, -5. -5, 0.1, 3, 72 Put 0, 2, -5, 1, 3 in decreasing order. 3, 2, 1, 0, -5 Sort 4, -6, -3/11 in decreasing order. 4, -3/11, -6 Sort -4, -2/3, -1/4, -2. -4, -2, -2/3, -1/4 Sort 4, -254, -1/3, 1 in increasing order. -254, -1/3, 1, 4 Put 2, -2.1, 3, 4 in ascending order. -2.1, 2, 3, 4 Sort -5, -1, 21, 1, -16 in increasing order. -16, -5, -1, 1, 21 Sort -2, -19, 4, -1, 0 in descending order. 4, 0, -1, -2, -19 Put -5, -3, -873 in increasing order. -873, -5, -3 Sort 0.3, 12, 108, -1 in decreasing order. 108, 12, 0.3, -1 Put 1, 0.5, -0.07 in decreasing order. 1, 0.5, -0.07 Sort 5, -28, 4 in increasing order. -28, 4, 5 Sort -2, -0.1, -1/16 in descending order. -1/16, -0.1, -2 Sort 9, 1, -3, 5, -21 in descending order. 9, 5, 1, -3, -21 Sort 5, 3/19, -2/5, -0.5, 4/9 in descending order. 5, 4/9, 3/19, -2/5, -0.5 Sort -5, 5, -306 in decreasing order. 5, -5, -306 Sort -6, -1, 5, 6. -6, -1, 5, 6 Put 1, -3/4, -5/3 in descending order. 1, -3/4, -5/3 Sort 2623, -5, 2, 1 in descending order. 2623, 2, 1, -5 Sort -5, -3, 64, -7 in ascending order. -7, -5, -3, 64 Put -2, 6, -1/2, -3, 2 in descending order. 6, 2, -1/2, -2, -3 Put 12, 2, 7, 1/7, 1/3 in ascending order. 1/7, 1/3, 2, 7, 12 Sort -19, 3, -6, 5 in decreasing order. 5, 3, -6, -19 Sort 2, 6, 5, 3 in decreasing order. 6, 5, 3, 2 Sort -2, -552, -5 in descending order. -2, -5, -552 Sort -6, 3, -5, -39 in descending order. 3, -5, -6, -39 Put -576.5, 2, -2 in descending order. 2, -2, -576.5 Sort -8, -5, 1, 9, 3 in decreasing order. 9, 3, 1, -5, -8 Sort 23, -2, -3, 1, -8 in increasing order. -8, -3, -2, 1, 23 Sort 3, -1, 5, 71, -10. -10, -1, 3, 5, 71 Put -2, 0, -6/691, -1/4 in ascending order. -2, -1/4, -6/691, 0 Sort 1/3, -0.1, 0.3, 4, 145/6 in increasing order. -0.1, 0.3, 1/3, 4, 145/6 Sort 0.54, 4, 2/15. 2/15, 0.54, 4 Sort 348, -0.2, 1 in decreasing order. 348, 1, -0.2 Sort -1.2, -1, -5, 5, -1/16 in descending order. 5, -1/16, -1, -1.2, -5 Sort -1, -23, -6, 6. -23, -6, -1, 6 Sort -51, 4, -3, -1 in decreasing order. 4, -1, -3, -51 Sort 5, 4, -4, -151 in descending order. 5, 4, -4, -151 Put 3/47, -3, 5, -2/11 in decreasing order. 5, 3/47, -2/11, -3 Put -2, 1/95, -8 in ascending order. -8, -2, 1/95 Put 2, -5, 0.19 in descending order. 2, 0.19, -5 Put -0.2, -2, 1/4, 0.8, 16 in decreasing order. 16, 0.8, 1/4, -0.2, -2 Put -92, 0, 0.2, 1 in increasing order. -92, 0, 0.2, 1 Sort -2, 1, 2, -12, -11 in descending order. 2, 1, -2, -11, -12 Put -2.1, -4, 0.4, -0.3 in ascending order. -4, -2.1, -0.3, 0.4 Put 36, 1, 2, -2 in increasing order. -2, 1, 2, 36 Put 2/3, -1, -22 in descending order. 2/3, -1, -22 Sort -1, 13, 2, -5, 4. -5, -1, 2, 4, 13 Sort 2, 1409, 0. 0, 2, 1409 Sort -0.08, 2/177, 1/2 in ascending order. -0.08, 2/177, 1/2 Put -14, -1/5, 1.9 in ascending order. -14, -1/5, 1.9 Sort 1/5, 0, -4/3, 2/15, -4/11 in ascending order. -4/3, -4/11, 0, 2/15, 1/5 Sort -6, -4, -2, -5, -1 in decreasing order. -1, -2, -4, -5, -6 Sort -4, 2, -7, -16, 3 in descending order. 3, 2, -4, -7, -16 Sort -3, 5, 2, 1 in descending order. 5, 2, 1, -3 Put -66, 2/5, 3, -2 in decreasing order. 3, 2/5, -2, -66 Sort 0, -21, -4 in decreasing order. 0, -4, -21 Sort -5/7, -1/4, -3, 5, 1. -3, -5/7, -1/4, 1, 5 Put 0.3, 4, -0.231, 5 in descending order. 5, 4, 0.3, -0.231 Put -9, -2, 2, 17 in decreasing order. 17, 2, -2, -9 Put 2/5, 4, 8, -3.1 in descending order. 8, 4, 2/5, -3.1 Put -14, 0.15, -2, 4 in descending order. 4, 0.15, -2, -14 Put -2, 2, -0.3, -2/9 in descending order. 2, -2/9, -0.3, -2 Sort -8, 52, -1 in descending order. 52, -1, -8 Sort 23, -1, 1, -5. -5, -1, 1, 23 Put -12, 4, -7, -4 in decreasing order. 4, -4, -7, -12 Put -49, 2/21, 0.4, -4 in ascending order. -49, -4, 2/21, 0.4 Put 0.1, 3, 2/85, 0 in descending order. 3, 0.1, 2/85, 0 Sort 1/3, -5, 0.3, 3 in increasing order. -5, 0.3, 1/3, 3 Put -4, 0.9, -8 in descending order. 0.9, -4, -8 Sort 0, 6/7, 3, -0.72, 2 in decreasing order. 3, 2, 6/7, 0, -0.72 Sort 7, 20, -2, 0 in decreasing order. 20, 7, 0, -2 Sort 0.5, 0, 43. 0, 0.5, 43 Sort 4, 45, 2, -1, -6 in descending order. 45, 4, 2, -1, -6 Put -497, -5, 1/60 in descending order. 1/60, -5, -497 Sort -2/17, 4, 0.02, -2/3. -2/3, -2/17, 0.02, 4 Put -20, -55, -3, -1/7, 3/2 in decreasing order. 3/2, -1/7, -3, -20, -55 Put 4/7, 0, 1/7 in descending order. 4/7, 1/7, 0 Sort 0.09, 23, 2. 0.09, 2, 23 Sort -1, -0.4, 1/9, -5, -102 in decreasing order. 1/9, -0.4, -1, -5, -102 Sort -11, -9, 0, 5, 7 in descending order. 7, 5, 0, -9, -11 Put 1, 299, 5 in decreasing order. 299, 5, 1 Sort -6, -115.6, -4 in ascending order. -115.6, -6, -4 Sort -0.39, 1, 4. -0.39, 1, 4 Sort 5, 18, -2, -4. -4, -2, 5, 18 Sort 5, 4, -79, -5 in decreasing order. 5, 4, -5, -79 Sort 1, 4, 15 in decreasing order. 15, 4, 1 Sort 28, -43, 0 in decreasing order. 28, 0, -43 Sort 1, 5, 0, -884 in descending order. 5, 1, 0, -884 Sort 2, 4, -2/9, -35, 6 in increasing order. -35, -2/9, 2, 4, 6 Sort 5, 16, 4, 0.2 in decreasing order. 16, 5, 4, 0.2 Sort 6, 255, 4, -2/3. -2/3, 4, 6, 255 Sort 0, 18, -5, 39 in increasing order. -5, 0, 18, 39 Put -4, 1, 59 in descending order. 59, 1, -4 Sort -1/5, -2/5, -3. -3, -2/5, -1/5 Put 0.4, -5, -6/7, 0.2 in increasing order. -5, -6/7, 0.2, 0.4 Put 50, -11, -1 in descending order. 50, -1, -11 Sort -27, -9, -26, 5. -27, -26, -9, 5 Put 0.1, 2, 1.1 in ascending order. 0.1, 1.1, 2 Put -4, -2, 2/3, 8/3, -1 in ascending order. -4, -2, -1, 2/3, 8/3 Put 0, 15, -106 in descending order. 15, 0, -106 Sort -3/5, -5, -2, -1/6, -2/5 in increasing order. -5, -2, -3/5, -2/5, -1/6 Sort 0, 4, -1931 in ascending order. -1931, 0, 4 Sort 5, 2/435, -1/4. -1/4, 2/435, 5 Sort -11/5, -2, 0.1, 2/13 in decreasing order. 2/13, 0.1, -2, -11/5 Sort 128, 9, -2. -2, 9, 128 Sort 1, -5, 1.1, -2/13 in descending order. 1.1, 1, -2/13, -5 Put 4, 13, 5/4 in ascending order. 5/4, 4, 13 Put 17, 4, 1/3, -0.4 in decreasing order. 17, 4, 1/3, -0.4 Sort 4, 3, 5, 42 in descending order. 42, 5, 4, 3 Put 0.5, -3, -283 in ascending order. -283, -3, 0.5 Put -3, 14, 2, 0 in descending order. 14, 2, 0, -3 Sort -5, 0.1434, -2. -5, -2, 0.1434 Sort -3/2, -5/4, 4, -16. -16, -3/2, -5/4, 4 Sort 1, 8, 3, -13, 4 in ascending order. -13, 1, 3, 4, 8 Sort -1/18, 2, -3/10 in decreasing order. 2, -1/18, -3/10 Sort -11, 5, 3. -11, 3, 5 Sort 4, -61, -1, -68 in decreasing order. 4, -1, -61, -68 Sort 6, -0.5, -5, -0.05 in descending order. 6, -0.05, -0.5, -5 Sort -5, -3, -15, 5 in decreasing order. 5, -3, -5, -15 Sort -0.1, 0.5, 0.01, 10, 0.1 in decreasing order. 10, 0.5, 0.1, 0.01, -0.1 Put 2, -2, 190, 4 in decreasing order. 190, 4, 2, -2 Put 3, 4, 0, 2, -7 in decreasing order. 4, 3, 2, 0, -7 Put 3, 4, 6, -17, 2 in decreasing order
{ "pile_set_name": "DM Mathematics" }
t s(q) be the third derivative of -5*q**9/126 - 23*q**5/60 - 11*q**2. What is the third derivative of s(h) wrt h? -2400*h**3 Let z(x) = x**3 + 12*x**2 + 11*x. Let u be z(-11). Find the third derivative of -4*o + 3*o**2 + u*o - 3*o**3 + 4*o wrt o. -18 Let k(b) = -12*b**4 - 6*b**3 + 1. Let h(l) = -35*l**4 - 17*l**3 + 4. Let v(d) = 6*h(d) - 17*k(d). Find the first derivative of v(n) wrt n. -24*n**3 Let v(r) = -4*r**2 - r + 27. Let n(c) = -13*c**2 - 3*c + 80. Let y(k) = -3*n(k) + 8*v(k). Find the second derivative of y(j) wrt j. 14 Let b(q) be the first derivative of q**8/280 - q**4/12 + 4*q**3/3 + 2. Let k(s) be the third derivative of b(s). Differentiate k(x) wrt x. 24*x**3 Let n(z) be the second derivative of 0*z**2 + 0*z**5 + 0*z**3 + 0 - 4*z + 1/4*z**4 - 1/10*z**6. What is the third derivative of n(o) wrt o? -72*o Find the second derivative of -109*s**2 + 3*s - 2*s + 102*s**2 wrt s. -14 Suppose -4 = -5*q + 3*d + 3, 2*q = 2*d + 2. Find the third derivative of -2*a**3 + 4*a + 3*a**2 - 4*a - 6*a**q wrt a. -12 Let w(f) be the second derivative of 0*f**4 - 5*f + 0 + 0*f**5 + 1/10*f**6 + 5/2*f**2 + 0*f**3. What is the derivative of w(p) wrt p? 12*p**3 What is the second derivative of u + 20*u**2 - 27*u**2 + 10*u wrt u? -14 Let d(z) = 11*z + 13. Let n(j) = 6*j + 7. Let a(w) = -10 + w**2 + 5 + 0 - w. Let h be a(4). Let v(b) = h*n(b) - 4*d(b). Differentiate v(r) with respect to r. -2 Let i(m) be the second derivative of 5*m**4/12 - m**3 + 3*m. Find the second derivative of i(u) wrt u. 10 Let g(c) = -c - 4. Let n be g(-6). Let v = -6 + 8. Find the third derivative of n*r**2 - r**v - r**6 + 0*r**6 wrt r. -120*r**3 Let n(m) be the second derivative of 4*m**7/21 + 11*m**4/12 - m. Find the third derivative of n(i) wrt i. 480*i**2 Let k(z) be the first derivative of -3*z**5/20 - z**4/6 - z + 3. Let y(n) be the first derivative of k(n). What is the third derivative of y(o) wrt o? -18 Let q(g) be the third derivative of 0*g**4 + 2/15*g**5 + 0*g - 4/3*g**3 - 7*g**2 + 0. What is the derivative of q(f) wrt f? 16*f Suppose -1 = -q - m, -3*q + 0*m = -m - 7. What is the third derivative of 0*s**3 - 2*s**2 - q*s**3 + 4*s**2 + 0*s**3 wrt s? -12 Find the second derivative of -4*a**3 + 6*a - 2*a + 6*a + 22*a wrt a. -24*a Suppose 3*v - 16 = f, -v - 4*f + 20 = v. Let x be v/(-3)*4/(-8). What is the third derivative of -1 + x - 3*n**4 + n**4 + 3*n**2 wrt n? -48*n Let p(m) be the third derivative of 5*m**2 + 0*m + 1/2*m**3 + 1/6*m**4 + 0. What is the derivative of p(h) wrt h? 4 Let j be 0 + 1 - (-1)/(-1). Suppose -2*l = -j*l - 6. Find the third derivative of 2*h**5 - l*h**5 + 3*h**5 + h**2 wrt h. 120*h**2 Let p(s) be the first derivative of -s**9/1512 - s**5/60 + 2*s**3/3 + 4. Let z(n) be the third derivative of p(n). Find the second derivative of z(g) wrt g. -40*g**3 Suppose 4*j + 0 - 8 = 0. Find the first derivative of j - 2 + 2*a**4 - 2 wrt a. 8*a**3 Let w(p) = -p**2 + 5*p. Suppose 4*q = -3*r, 2 = -4*r - 5*q + 3. Let m be w(r). Find the first derivative of 3 + 0 - 2*f**4 + m*f**4 + 0 wrt f. 8*f**3 Let s(n) = 62*n**3 - 69*n**2 + 10. Let c(p) = 63*p**3 - 69*p**2 + 12. Let o(m) = 5*c(m) - 6*s(m). Find the third derivative of o(j) wrt j. -342 Let d(c) be the first derivative of c**4/6 + c**3/6 + c**2/2 + 5. Let v(j) be the second derivative of d(j). Differentiate v(w) wrt w. 4 Let q be ((-6)/(-5))/((-1)/(-5)). Let d(m) = m**3 + 5*m**2 + 3*m - 2. Let t be d(-4). Find the third derivative of -6*v**6 + 2*v**t + q*v**6 + 2*v**6 wrt v. 240*v**3 Let c(n) = n**4 - n**3 - n**2 - n + 1. Let l(h) = -8*h**4 + 2*h**3 + 2*h**2 + 2*h + 9. Let a(b) = 2*c(b) + l(b). What is the first derivative of a(f) wrt f? -24*f**3 Let o(b) = -b**3 - 13*b + 37. Let v(q) = q**3 + 6*q - 18. Let m(t) = -6*o(t) - 13*v(t). Differentiate m(f) with respect to f. -21*f**2 Let m(g) = -g**2 + g - 1. Let c(v) = 6*v**3 - 6*v**2 + 6*v - 4. Let p(k) = -c(k) + 6*m(k). Find the first derivative of p(i) wrt i. -18*i**2 Find the first derivative of 30 + 12*o**3 + 1 - 14 wrt o. 36*o**2 Let x(p) be the third derivative of 47*p**7/210 - 13*p**3/6 - 35*p**2. Find the first derivative of x(c) wrt c. 188*c**3 Let q(y) be the first derivative of y**5/30 - y**4/6 + 3*y**2/2 - 5. Let a(n) be the second derivative of q(n). Find the second derivative of a(d) wrt d. 4 What is the third derivative of -3 + 5*n**2 + 11*n**4 - 8 + 11 wrt n? 264*n Let d(i) = i**3 + 3*i**2 - i + 1. Let w be d(-3). Find the second derivative of -2*m**4 - 5*m - 2*m + 2*m - 3*m**w wrt m. -60*m**2 Let j(q) be the first derivative of q**5/20 - 7*q**4/24 - 5*q**2/2 - 3. Let c(s) be the second derivative of j(s). Find the second derivative of c(y) wrt y. 6 Let j(b) be the first derivative of 0*b + b**6 + 0*b**2 + 5 + 0*b**5 + 0*b**4 + 5/3*b**3. Find the third derivative of j(z) wrt z. 360*z**2 Let j(b) be the first derivative of 8*b**5/5 + 7*b**2/2 - 4. Find the second derivative of j(p) wrt p. 96*p**2 Let d(p) = 9*p - 9. Let r(x) = 3*x - 3. Suppose j + 85 = 5*c, -5*j + j = 0. Let o(i) = c*r(i) - 6*d(i). What is the first derivative of o(u) wrt u? -3 Let o(u) = 96*u**4 - 9*u**2 + 189. Let w(t) = -24*t**4 + 2*t**2 - 47. Let p(i) = 2*o(i) + 9*w(i). Find the first derivative of p(a) wrt a. -96*a**3 Let r(c) be the second derivative of -5*c**4/6 + 5*c**3/6 + c. What is the second derivative of r(o) wrt o? -20 Let a(d) = 12*d**3 + 5*d + 4. Let i(w) = 13*w**3 + 6*w + 3. Let v(p) = -3*a(p) + 4*i(p). What is the second derivative of v(s) wrt s? 96*s Let p = -3 - -25. Let c(q) = q**3 - 2*q**2 - 2*q + 2. Let y(u) = -5*u**3 + 11*u**2 + 11*u - 9. Let k(m) = p*c(m) + 4*y(m). Differentiate k(a) with respect to a. 6*a**2 Let l(o) be the third derivative of -13*o**6/120 + o**4/8 - 2*o**2. Find the second derivative of l(s) wrt s. -78*s What is the derivative of 7*l - 4 - 2*l + 6 - 2*l wrt l? 3 Differentiate 9 - 11 - 12*d**2 + 9 with respect to d. -24*d Let w(v) = v**2 + 9*v - 6. Let i be w(-10). Find the second derivative of 6*k - 2*k**3 + 0*k**3 - i*k**3 - k wrt k. -36*k Suppose -5*b + 11 + 13 = v, 2*b + v - 12 = 0. What is the first derivative of -1 + 5*u + 3 - u**b - 5*u wrt u? -4*u**3 Let h be (-4)/(3*(-6)/9). Let b be -2 + 2 + 4/h. Find the first derivative of 0 - 2*m + 1 + b wrt m. -2 Let d(j) be the first derivative of -j**10/1680 - j**6/360 - 2*j**3/3 + 1. Let a(h) be the third derivative of d(h). Find the third derivative of a(r) wrt r. -360*r**3 Suppose x = 3*x - 10. Suppose -i - 4*f - 10 = 0, -2*i - x*f = -2*f + 5. Find the second derivative of 5*h**2 - 6*h**4 - 2*h - 5*h**i + 4*h**4 wrt h. -24*h**2 Let j(y) = y. Let n(t) = -t**2 - 5*t - 1. Let s = -2 - -3. Let q be -10*((-1)/2 + 0). Let z(p) = q*j(p) + s*n(p). What is the first derivative of z(f) wrt f? -2*f Let r(f) = 8*f - 7. Let x = 0 + -4. Let g(m) = 9*m - 8. Let i(v) = x*r(v) + 3*g(v). What is the first derivative of i(h) wrt h? -5 Let q(u) be the first derivative of 3*u**4/4 - u**3/3 - 1. Let w be q(1). What is the first derivative of -w*d - 4 + d + 2 wrt d? -1 What is the third derivative of -57 + 57 + 27*l**4 - 8*l**2 - 11*l**2 wrt l? 648*l Let l(v) = v**3 - v**2 - v + 3. Let a be l(0). Let m(p) = -p - 5. Let r be m(-5). Differentiate 3 - a*u + r - 4*u + 4*u with respect to u. -3 What is the third derivative of -9*a**2 - 6*a**2 + 2*a**2 + 2*a**6 wrt a? 240*a**3 Let w be (-2)/(-1 + (-1 - -1)). Let t = w - -1. What is the second derivative of -m**4 + 0*m**4 + t*m - m wrt m? -12*m**2 What is the second derivative of -3*z**3 - 2*z - z**3 - 10*z wrt z? -24*z Let p(f) be the second derivative of 0*f**4 + 0*f**6 + 1/21*f**7 + 0 + 0*f**5 + 0*f**2 - 1/6*f**3 - 2*f. Find the second derivative of p(s) wrt s. 40*s**3 Let t(z) = z**2 + 1. Let a be t(3). Let y = 13 + -17. Let r(o) = o + 1. Let x(w) = 2*w + 2. Let c(k) = a*r(k) + y*x(k). Find the first derivative of c(n) wrt n. 2 Find the second derivative of 3*d + 30*d**3 - 27*d - 28*d**3 wrt d. 12*d Find the third derivative of 1278*u**2 - 24*u**6 - 1268*u**2 - 22*u**6 wrt u. -5520*u**3 Find the second derivative of 3*s**4 - 16*s**4 - 76*s + 82*s wrt s. -156*s**2 Let h = 14 + -10. Let r = 1 + 0. Find the first derivative of 2*l + h - 1 - r wrt l. 2 Let q be 6/4*-2 + 7. Find the second derivative of j**5 + 0*j**5 - j + q*j - 5*j wrt j. 20*j**3 Let k(d) be the second
{ "pile_set_name": "DM Mathematics" }
2 (e) 0.3 (f) -1/5 d What is the fourth biggest value in -2, 0.5, -23, -3, -12, 2? -3 What is the smallest value in 1, -137, 0.7, -0.3, 0.5, 0.15? -137 What is the fourth biggest value in 4, -1/2, -1/15, -2/11, -591? -1/2 What is the biggest value in -6375, 1/84, 1/2? 1/2 Which is the fourth smallest value? (a) -3.7 (b) -0.014 (c) -2 (d) 1 d Which is the second smallest value? (a) -140 (b) 0.0227 (c) 1 (d) 0.1 b Which is the fourth biggest value? (a) 22.7 (b) -8/5 (c) -0.1 (d) 7/2 b What is the biggest value in 17, 2, -1/8, 0.4? 17 Which is the third biggest value? (a) 0 (b) 16 (c) -1 (d) -9669 c What is the third biggest value in -75/164, -2/3, -46? -46 Which is the third smallest value? (a) -1/9 (b) -0.2 (c) 7/5 (d) -0.07 (e) -5 a Which is the second smallest value? (a) 0.4 (b) 2 (c) 5/657 a Which is the third biggest value? (a) 2 (b) 64992 (c) 8 a Which is the fifth smallest value? (a) -2/19 (b) 1/97 (c) 62 (d) 1/2 (e) 5 (f) -0.2 e What is the biggest value in 5, 0.021, -2/765? 5 What is the second biggest value in -879, -0.05, -2, -3/5? -3/5 Which is the fourth smallest value? (a) -4 (b) -2 (c) 7/6 (d) -228/5 c Which is the third smallest value? (a) -2/175 (b) 10960 (c) -3 b Which is the fifth biggest value? (a) -0.17 (b) 3/4 (c) 0 (d) -2 (e) -19 e Which is the fourth smallest value? (a) -123 (b) 0.5 (c) 2 (d) 1/21 (e) -31 b What is the second smallest value in -210, 4, 5, -1131? -210 Which is the fourth biggest value? (a) -0.4 (b) 0.1 (c) 1/11 (d) -2/11 (e) 0.157 d What is the fourth biggest value in 1183, -2/9, 3/16, 1? -2/9 Which is the biggest value? (a) 4/7 (b) 5 (c) 3 (d) -3/19 (e) 19/4 b Which is the third biggest value? (a) -5 (b) 5 (c) 18929 a What is the fourth biggest value in 42, 26, -2, 1/4, -5? -2 Which is the biggest value? (a) -0.267 (b) -4 (c) -2 (d) 5 (e) -3 d Which is the second smallest value? (a) 0.226 (b) -5 (c) 2/13 (d) -2/7 (e) 5 (f) 11 d Which is the second biggest value? (a) -1/3717 (b) -2 (c) -0.3 (d) -1 (e) 0.3 a What is the third biggest value in 1/4, 4, 160/39? 1/4 Which is the biggest value? (a) -0.02 (b) -79 (c) -134 a Which is the second smallest value? (a) 1/8 (b) -0.03 (c) -36721 b Which is the biggest value? (a) 6/23 (b) 0.9 (c) -3/8 (d) 1.79 d Which is the second biggest value? (a) 2/3085 (b) 1 (c) -2 a What is the smallest value in 0.1, -0.14, -2/15, 41, -1? -1 Which is the fourth smallest value? (a) -5 (b) -9 (c) 2 (d) -69 c Which is the third smallest value? (a) 1 (b) 567 (c) -6/5 b What is the biggest value in -0.2, 4, 0.24, -114, 0.1? 4 What is the smallest value in -92023, 0.4, 3? -92023 Which is the third smallest value? (a) -9763 (b) 0 (c) 0.2 (d) -0.3 b Which is the fourth biggest value? (a) 48/5 (b) -2/7 (c) 0.2 (d) -1/8 (e) -75 b Which is the fourth biggest value? (a) 86 (b) -2/15 (c) 3/4 (d) 3478/9 b Which is the second biggest value? (a) -4 (b) 0.3 (c) 1 (d) 4 (e) -11099 c Which is the third smallest value? (a) -8882 (b) -0.5 (c) -3/7 c Which is the smallest value? (a) 11/9 (b) 62 (c) 1/2 c Which is the fourth smallest value? (a) 3/4 (b) -1/15 (c) 2/177 (d) 3 d Which is the second smallest value? (a) -1911 (b) -4 (c) 4 b Which is the fifth smallest value? (a) 1056 (b) -6 (c) 0.5 (d) 0 (e) -3 a Which is the smallest value? (a) -0.1 (b) -7 (c) 60 (d) 12/13 b What is the biggest value in -0.3, -4, -0.5, 0.8, -2? 0.8 Which is the third smallest value? (a) -0.1 (b) -4 (c) 6 (d) 2.2 (e) -0.3 a What is the third biggest value in 1/4, 28, -3, 25? 1/4 Which is the biggest value? (a) 0.79 (b) 1/41 (c) 0.2 a Which is the smallest value? (a) -21 (b) -0.5 (c) 1/2 (d) -32 d What is the second biggest value in -3/10, -0.7, 0.03, -2, 10, 1? 1 What is the fourth smallest value in -11, -1/11, -3/37, -2/19, -0.04? -3/37 What is the third biggest value in 393, 4, 5/17? 5/17 Which is the smallest value? (a) -79 (b) 2 (c) -5 (d) 1 (e) -1 a What is the biggest value in -3, 4, 1, 5, 57.31? 57.31 What is the third biggest value in -3/4, 23/6, -1, 0.5, 0.04? 0.04 Which is the fourth smallest value? (a) -4 (b) 57 (c) 0 (d) -2/3 (e) 4/57 e Which is the second smallest value? (a) 27 (b) 2 (c) 312 a Which is the third smallest value? (a) 0.4 (b) 1 (c) 0.1 (d) -1.482 (e) -1 c Which is the third smallest value? (a) -4 (b) 5 (c) -24435 b Which is the fifth biggest value? (a) 2/9 (b) -293 (c) 30 (d) -3/4 (e) -0.1 b Which is the third biggest value? (a) -7.7 (b) -1.1 (c) -5 a Which is the fifth smallest value? (a) 3/38 (b) -4 (c) 2 (d) 6 (e) 1 d What is the sixth biggest value in -0.07, 14, 0.3, 0, 1.5, -4/5? -4/5 Which is the fourth smallest value? (a) -51 (b) 0.68 (c) -0.02 (d) 2/7 (e) 2 b What is the second biggest value in -24, 2/431, -4.9? -4.9 Which is the third smallest value? (a) 0 (b) 3/2 (c) -23 (d) -1/2 (e) 0.4 a What is the third smallest value in 889681, -1/4, -5? 889681 Which is the second smallest value? (a) -0.1 (b) -7 (c) 2413/4 a Which is the fourth smallest value? (a) -4 (b) -5 (c) -1 (d) -14 (e) -1.5 e Which is the third smallest value? (a) 1/6 (b) -3 (c) 0.5 (d) -0.2 (e) 0 (f) 5067 e What is the fifth biggest value in -2/5, 0.2, -392, -3, 11, 1/3? -3 What is the second biggest value in -83, 0, 1/5, 49, 0.3? 0.3 Which is the third biggest value? (a) 1 (b) 245 (c) 1309 a Which is the third smallest value? (a) -3 (b) -1.1267 (c) -7 b What is the second smallest value in 146/21, 1/6, -13? 1/6 Which is the third biggest value? (a) 5 (b) 508 (c) -0.019 c Which is the fifth biggest value? (a) -1 (b) 3 (c) 0.1 (d) 2407 (e) -1/4 (f) 2 e Which is the second smallest value? (a) 0.5 (b) -75/53 (c) 675 a What is the second biggest value in 3/790, -16.9, 2? 3/790 Which is the third biggest value? (a) 0.4 (b) -71 (c) 0.5 b What is the fifth smallest value in 3, -0.3, 0.15, 216, -0.1? 216 What is the fifth biggest value in 0.3, -297, -0.08, 13, 1, 2/5? -0.08 What is the third smallest value in -0.07, -5, 63, -1/19? -1/19 Which is the fourth smallest value? (a) -2/847 (b) -5 (c) 0.6 (d) -3/2 c What is the fourth biggest value in 3, -4, 1, 0.3, -302? -4 Which is the fourth biggest value? (a) -2 (b) 1 (c) -5/3 (d) 2/207 a Which is the third smallest value? (a) 5 (b) 0.2 (c) 1/154 (d) 4/7 (e) 2 (f) 1 d What is the smallest value in 4/59, -211, -0.3? -211 What is the biggest value in 1/4, -2/225075, -0.3, 4? 4 Which is the fourth smallest value? (a) -4/13 (b) -922 (c) 1/22 (d) -0.1 (e) 2/11 c What is the third biggest value in 1, 1756/3, -192? -192 What is the second biggest value in -43, -7, 2/7? -7 Which is the smallest value? (a) 1080 (b) -3/7 (c) -8 (d) 1/4 (e) 2/3 c What is the third biggest value in 4, 2/3, 1/28, -3/2, 36/11, 5? 36/11 What is the biggest value in -2, -3, 1.7, -33, 4, -1? 4 What is the smallest value in 0.002, 2.08, -245? -245 What is the fourth smallest value in -5, -1, -4, -4.1? -1 What is the second biggest value in -5/3, -57, 197/3, -2/9? -2/9 What is the fifth smallest value in 0.18, -2, 118, 0.5, 0.06? 118 What is the biggest value in 5, 2, 465/82, 0.4? 465/82 What is the second biggest value in 1/466, -5, 2, -0.07? 1/466 What is the second biggest value in 4, 3, 1, 49, 1/3? 4 Which is the fourth smallest value? (a) -1/6 (b) 0.5 (c) -4.5 (d) -0.02 b What is the second smallest value in -37/31, -5, 7? -37/31 What is the fifth biggest value in -1, -5, 0.2, 1/54, -25, 0.1? -5 Which is the sixth biggest value? (a) -0.2 (b) 0.04 (c) -2/7 (d) 43 (e) 2 (f) 10 c Which is the third smallest value? (a) 57 (b) -1/3 (c) -4 (d) 0.2 (e) 43 d What is the fourth biggest value in 3/2, 56, 0.3, -1/4, 3/58, 0? 3/58 What is the fourth biggest value in 117042, -0.3, -1/5, -5? -5 Which is the second biggest value? (a) -39.2 (b) 3 (c) -4/3 c What is the fifth smallest value in -5, -0.1, 3/175, -1/4, 1.03? 1.03 What is the biggest value in 7/10, 1024, 0.3? 1024 Which is the fifth biggest value? (a) 8 (b) -1 (c) -2 (d) -4/3 (e) -1/2 (f) 1278 d Which is the third smallest value? (a) 1289 (b) 5 (c) -8 a What is the third biggest value in -0.
{ "pile_set_name": "DM Mathematics" }
lve 0 = 36*w - 44*w for w. 0 Solve -25*q = -14*q for q. 0 Solve 0 = 26*l - 28*l + 16 for l. 8 Solve 10*l + 89 - 119 = 0 for l. 3 Solve -5*h - 64 = -99 for h. 7 Solve 12*c - 8 = 10*c for c. 4 Solve 0 = 80*y - 72 - 168 for y. 3 Solve 0 = 9*q - 32*q - 69 for q. -3 Solve -6*x + 13 - 25 = 0 for x. -2 Solve 1 - 8 = -7*z for z. 1 Solve 552*l = 557*l + 10 for l. -2 Solve -20*i - 88 = 2*i for i. -4 Solve -14 = -8*m - 54 for m. -5 Solve -735*v + 63 = -744*v for v. -7 Solve 12 = 16*n - 12*n for n. 3 Solve 12 = -31*x + 43*x for x. 1 Solve 9*o - 11*o = 10 for o. -5 Solve -2 = -4*s - 14 for s. -3 Solve 440*a = 437*a + 6 for a. 2 Solve -9*u + 14*u + 5 = 0 for u. -1 Solve -12*l - 117 = -51*l for l. 3 Solve 81*q = 76*q - 35 for q. -7 Solve 17*y + 171 = -40*y for y. -3 Solve 2*d + 4 = 10 for d. 3 Solve 0 = -10*z + 11*z + 3 for z. -3 Solve -15*v = 9*v + 48 for v. -2 Solve 58*a - 36 = 64*a for a. -6 Solve 2*p + 2*p + 12 = 0 for p. -3 Solve 4*g - 2 = 2 for g. 1 Solve -44*d + 59*d + 75 = 0 for d. -5 Solve 0 = -38*z + 40*z - 2 for z. 1 Solve 0 = -3*i - 12 + 18 for i. 2 Solve -112*a + 110*a = -6 for a. 3 Solve 21*r - 3*r + 54 = 0 for r. -3 Solve 5*m + 49 = 29 for m. -4 Solve 57*n = -5*n - 186 for n. -3 Solve -12*w = 10 + 26 for w. -3 Solve -9*b = -11*b + 8 for b. 4 Solve 51*k - 272 = -68 for k. 4 Solve -23*n + 24*n = -1 for n. -1 Solve -80 = -12*s - 20 for s. 5 Solve 28*r + 16 = -12 for r. -1 Solve 7*z = -42 + 28 for z. -2 Solve 0 = 2*f + 12 - 8 for f. -2 Solve -9 = 53*p - 62 for p. 1 Solve -11*n - 27*n = -21*n for n. 0 Solve 9 - 51 = -6*y for y. 7 Solve 53*l - 132 = 80 for l. 4 Solve 57 - 152 = 19*u for u. -5 Solve -15*h = -8*h + 42 for h. -6 Solve -3*y - 27*y + 210 = 0 for y. 7 Solve 45*f + 54 = 39*f for f. -9 Solve -31*p = -29*p + 6 for p. -3 Solve 63*u - 58*u = -5 for u. -1 Solve 0 = -8*k - 10*k - 36 for k. -2 Solve 3*u = -213 + 189 for u. -8 Solve -11*f + 0 = -11 for f. 1 Solve 105 = -697*i + 662*i for i. -3 Solve -12*s + 13*s - 5 = 0 for s. 5 Solve -48*o + 6 + 42 = 0 for o. 1 Solve 65*a - 581 = 134 for a. 11 Solve 80 = -16*f + 64 for f. -1 Solve -190*a - 27 = -181*a for a. -3 Solve 1 = -3*m + 10 for m. 3 Solve 167*s - 4 = 168*s for s. -4 Solve 7*r = -126 + 119 for r. -1 Solve -170 = 45*b - 11*b for b. -5 Solve -r - 30 + 26 = 0 for r. -4 Solve -68*a = 66*a - 268 for a. 2 Solve 5*f - 2*f - 9 = 0 for f. 3 Solve 136*x = 131*x - 25 for x. -5 Solve -103*w + 84*w = 95 for w. -5 Solve -2*g = 13 - 15 for g. 1 Solve -174*x - 1615 - 299 = 0 for x. -11 Solve -15 = 42*d - 351 for d. 8 Solve 40 = 14*x + 68 for x. -2 Solve 21 - 6 = -15*p for p. -1 Solve 0 + 340 = 34*c for c. 10 Solve 9 - 14 = -5*k for k. 1 Solve 0 = o - 0*o for o. 0 Solve 0 = -10*o - 2020 + 1970 for o. -5 Solve -54*l + 190 = -16*l for l. 5 Solve -6 + 11 = 5*x for x. 1 Solve 12 = -5*c + 32 for c. 4 Solve 0 = -10*x - 0*x for x. 0 Solve 3*z + 6*z - 45 = 0 for z. 5 Solve 354 = -37*c - 22*c for c. -6 Solve -49*k = -50*k - 8 for k. -8 Solve -51*v + 36 + 525 = 0 for v. 11 Solve -2*p + 24 = 2*p for p. 6 Solve -13*k + 79 = 1 for k. 6 Solve -20 = 2*r - 12 for r. -4 Solve -9*y - 1047 = -1092 for y. 5 Solve 10*o - 33 = 7 for o. 4 Solve -40 = 19*n - 2 for n. -2 Solve 0 = -6*q - 302 + 278 for q. -4 Solve 29*x - 34*x - 20 = 0 for x. -4 Solve 0 = 85*u - 52*u - 330 for u. 10 Solve 60 = 9*d + 6 for d. 6 Solve 3*d = -3*d + 12 for d. 2 Solve -3*f = 4*f + 35 for f. -5 Solve 0 = 113*j - 69*j - 44 for j. 1 Solve -76*h = -80*h for h. 0 Solve -3*c - 2 = -5 for c. 1 Solve -184 = -12*j - 196 for j. -1 Solve -309 = 36*u - 93 for u. -6 Solve -22*n + 784 = -134*n for n. -7 Solve 0 = 9*k - 4 - 5 for k. 1 Solve -7*w + 1 = -20 for w. 3 Solve 6*i = 7*i + 5 for i. -5 Solve q - 656 = -652 for q. 4 Solve 79*s - 81*s = -10 for s. 5 Solve 3*x + 9 = -0 for x. -3 Solve 34 = 27*z + 7 for z. 1 Solve -31*c = -32*c for c. 0 Solve 26 = k + 23 for k. 3 Solve -25*v + 224 = -53*v for v. -8 Solve 1662 = -5*f + 1647 for f. -3 Solve -6*l = -56 + 38 for l. 3 Solve -6 = -305*p + 302*p for p. 2 Solve 326 = 25*i + 126 for i. 8 Solve -58*g + 56*g = -8 for g. 4 Solve -174*u + 168*u - 24 = 0 for u. -4 Solve 36*n - 84 = 132 for n. 6 Solve 50*m - 4 = 49*m for m. 4 Solve 80 = -85*w - 5 for w. -1 Solve 50 = 152*i - 162*i for i. -5 Solve 4 + 2 = 2*w for w. 3 Solve -6 = 76*n - 77*n for n. 6 Solve -2*c = -5*c - 2*c for c. 0 Solve 34*t = 51*t - 119 for t. 7 Solve -312 - 185 = -71*o for o. 7 Solve -8*o = 14 - 30 for o. 2 Solve -3*w + 2 - 5 = 0 for w. -1 Solve 16*v = 46 + 18 for v. 4 Solve -120*w + 126*w = 0 for w. 0 Solve 98 = 538*o - 524*o for o. 7 Solve 1611*x = 1600*x + 66 for x. 6 Solve -108*z + 128*z + 20 = 0 for z. -1 Solve -2*o + 0 = -8 for o. 4 Solve 13*u = 92 - 144 for u. -4 Solve 18*r - 27 = 9 for r. 2 Solve -17*s + 19*s = -4 for s. -2 Solve -2*q - 17 = -9 for q. -4 Solve -i - 6 = -3*i for i. 3 Solve 12*d - 16 = -4*d for d. 1 Solve -592 + 418 = -29*l for l. 6 Solve -36*b + 37 = -143 for b. 5 Solve 97*d = 93*d + 16 for d. 4 Solve 0 = 7*q + 15 - 1 for q. -2 Solve 19*h - 15*h = -8 for h. -2 Solve -57 + 75 = -6*o for o. -3 Solve 0 = -252*c + 257*c for c. 0 Solve -5*a - 18 = -43 for a. 5 Solve 84 = -27*n + 55*n for n. 3 Solve -115*o + 600 = 5*o for o. 5 Solve 8 = 9*r - 5*r for r. 2 Solve 42*q = 24*q - 54 for q. -3 Solve -55 + 49 = 2*k for k. -3 Solve 2*d + 7 - 11 = 0 for d. 2 Solve 719 = 27*x + 530 for x. 7 Solve -11*s - 76 = 8*s for s. -4 Solve 0 = 4*v - 3 - 9 for v. 3 Solve -7*w + 5 = -2 for w. 1 Solve 0 = -54*p + 44*p + 50 for p. 5 Solve d + 7*d = 0 for d. 0 Solve 23*l + 32 = 39*l for l. 2 Solve 0 = 2*s - 36 + 44 for s. -4 Solve 25*s = -17*s - 126 for s. -3 Solve -188 = 19*p - 17 for p. -9 Solve 4*p + 5*p = 0 for p. 0 Solve 14*c - 18 = 11*c for c. 6 Solve -3*q + 6 = -3 for q. 3 Solve -144*n + 617 = -823 for n. 10 Solve 637*s - 2 = 639*s for s. -1 Solve 2*l + 10*l = 48 for l. 4 Solve 19*s - 44 = 70 for s. 6 Solve 0 = -15*f + 39*f - 15*f for f. 0 Solve 11*h - 4 = 9*h for h. 2 Solve 9*d - 30 = -d for d. 3 Solve -7*v = -5*v + 4 for v. -2 Solve 6*i = 5 + 1 for i. 1 Solve -28*d = -25*d - 6 for d. 2 Solve 8*s + 48 = 24 for s. -3 Solve 12*k = 13*k - 7 for k. 7 Solve 11*h = -33*h - 176 for h. -4 Solve -163*z + 173*z - 10 = 0 for z. 1 Solve -136 = -24*t - 352 for t. -9 Solve 0 - 84 = 12*q for q. -7 Solve -b = 4 - 1 for b. -3 Solve -194*n = -183*n for n. 0 Solve x + 1 = -1 for x. -2 Solve 13*a + 20 = 17*a for a. 5 Solve 0 = 24*r - 20*r + 12 for r. -3 Solve 0 = -154*q + 137*q + 68 for q. 4 Solve -8*c + 229 = 261 for c. -4 Solve i + 2 = 1 for i. -1 Solve -3*j - 145 = -160 for j. 5 Solve -3*v = 4*v + 14 for v. -2 Solve 0 = -0*d - 0*d + 3*d for d. 0 Solve -1736*a = -1747*a + 77 for a. 7 Solve 3*h + 4 - 10 = 0 for h. 2 Solve y + 313 = 316 for y. 3 Solve 84*t = 148*t - 192 for t. 3 Solve 0 = -6*q + 3*q + 9 for q. 3 Solve -12*v - 32 = 40 for v. -6 Solve 7*y = -27*y + 136 for y. 4 Solve -14*m - 373 = -303 for m. -5 Solve -59 = 24*m + 13 for m. -3 Solve -a = -6*a - 5 for a. -1 Solve -11*v = v - 24 for v. 2 Solve 11 = f + 9 for f. 2 Solve -29 + 23 = -2*z for z. 3 Solve -150 + 134 = 4*m for m. -4 Solve 0 = 24*s - 25*s for s. 0 Solve 29 = p + 25 for p. 4 Solve 0 = 22*l - 8*l + 84 for l. -6 Solve 0 = -29*z + 121 - 34 for z. 3 Solve 2*j + 30 - 20 = 0 for j. -5 Solve 101*k = 137*k for k. 0 Solve 3*b + 17 - 2 = 0 for b. -5 Solve 4 = -433*s + 431*s for s. -2 Solve -4*b - 28 = 3*b for b. -4 Solve 4*o - 17 + 1 = 0 for o. 4 Solve 0 = -z + 14 - 17 for z. -3 Solve 6*l = -1 + 19 for l. 3 Solve -13*i = 4*i for i. 0 Solve 0 = 2*d + 5878 - 5888 for d. 5 Solve 34*n - 128 = 2*n for n. 4 Solve -13 + 19 = -6*z for z. -1 Solve 6*d + 27 = 15*d for d. 3 Solve -11*b - 43 = 12 for b. -5 Solve -7 = 12*x - 19 for x. 1 Solve -31*s + 29*s + 6 = 0 for s. 3 Solve 0 = 24*s - 18*s + 6 for s. -1 Solve -81*f + 188*f + 963 = 0 for f. -9 Solve 210 = 88*l - 46*l for l. 5 Solve 77*h + 99 + 132 = 0 for h. -3 Solve 17*b = 5*b - 36 for b. -3 Solve 3*z = -9 + 3 for z. -2 Solve -3*r + r = -r for r. 0 Solve -2*y + 10 = 3*y for y. 2 Solve 144*h = 124*h + 120 for h. 6 Solve 29*h - 14*h + 75 = 0 for h. -5 Solve -4*j - 18 = 2 for j. -5 Solve 8*v - 38 = -22 for v. 2 Solve 8*p - 3 = 5 for p. 1 Solve -11*k + 42 = -17*k for k. -7 Solve 5*u = -19 - 1 for u. -4 Solve -11 = 3*l + 4 for l. -5 Solve -y - 11*y = -12 for y. 1 Solve 3*h + 3*h
{ "pile_set_name": "DM Mathematics" }
01010000001 -1243350 (base 7) to base 5 -20141303 Convert 2612265 (base 9) to base 13. 3aba55 Convert -1526665 (base 8) to base 12. -191359 -18b1a05 (base 12) to base 2 -10011110111011101100101 What is -70975 (base 15) in base 8? -1270236 -15203550 (base 6) to base 9 -886453 Convert 102579 (base 13) to base 4. 1123330320 -36b27 (base 16) to base 2 -110110101100100111 Convert 1010001100101000001 (base 2) to base 7. 2561120 Convert -116326124 (base 7) to base 16. -702d22 Convert 817590 (base 10) to base 6. 25305050 Convert -844034 (base 12) to base 15. -2b16d7 Convert -294105 (base 12) to base 14. -13dd41 What is 13aa434 (base 11) in base 3? 11112200200210 1a18b36 (base 14) to base 16 c5e96c Convert 5353752 (base 9) to base 8. 12745306 -5daec8 (base 15) to base 16 -448b38 What is 4992c (base 14) in base 7? 1350155 Convert 1204321304 (base 5) to base 8. 12553630 Convert -800063 (base 9) to base 5. -110104244 -255654650 (base 7) to base 13 -350602a What is 23320033 (base 4) in base 10? 48655 What is 95800 (base 14) in base 15? 71e8c 1262047 (base 8) to base 6 11323423 4557765 (base 8) to base 7 13341234 222201311 (base 4) to base 15 36932 What is -2793356 (base 12) in base 14? -109b334 What is 2bb323 (base 16) in base 15? 3b8872 Convert -43154752 (base 8) to base 5. -4330341301 What is 152176 (base 10) in base 12? 74094 What is 2500215 (base 7) in base 10? 319443 What is -403142310 (base 6) in base 4? -122031232002 What is 13240443440 (base 5) in base 2? 111111110101100000100101 16566144 (base 7) to base 10 1630017 -863631 (base 9) to base 2 -1111101100110011011 131003030 (base 5) to base 3 1012120022022 Convert -180821 (base 9) to base 7. -645061 -26220550 (base 7) to base 9 -4444677 Convert -56caaa (base 13) to base 8. -7657531 -29b82d (base 16) to base 10 -2734125 What is -5226213 (base 9) in base 8? -12517015 What is -3017212 (base 8) in base 16? -c1e8a What is -3624637 (base 8) in base 2? -11110010100110011111 What is -20212111202001 (base 3) in base 4? -31323130231 What is -432520143 (base 6) in base 5? -3432134434 What is -22895b (base 12) in base 3? -1001011101122 What is -1633a03 (base 11) in base 5? -1203140441 Convert 3612645 (base 7) to base 9. 766143 What is 104041042 (base 6) in base 10? 1871666 Convert -152133 (base 10) to base 14. -3d629 Convert 10101222112 (base 4) to base 14. 2126d8 Convert 5774701 (base 8) to base 3. 2221211101000 What is -100132310 (base 4) in base 7? -400550 What is -903c8c (base 14) in base 8? -22402664 Convert 4477888 (base 9) to base 7. 26342036 What is -111213112 (base 6) in base 10? -2023748 Convert 1303331030 (base 4) to base 12. 1aaa38 What is 21000010222 (base 3) in base 9? 230128 11212221012000 (base 3) to base 9 4787160 Convert -22121120201200 (base 3) to base 14. -8724a6 Convert 11012112010 (base 3) to base 7. 463164 -54025314 (base 7) to base 12 -1657176 Convert -c85fa4 (base 16) to base 2. -110010000101111110100100 Convert 78b74 (base 15) to base 9. 644621 What is -100011110000111100110 (base 2) in base 5? -300000232 What is -30101110 (base 5) in base 9? 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-548702 Convert 36a17 (base 14) to base 10. 133693 Convert -395553 (base 11) to base 6. -21200424 Convert 62060 (base 9) to base 2. 1001111110101110 Convert 11422131 (base 7) to base 3. 1220111220210 What is -7b115 (base 15) in base 9? -656332 What is -10202110220 (base 3) in base 16? -120f9 241504 (base 8) to base 11 571a3 What is 109a372 (base 12) in base 10? 3190406 Convert -211111010200 (base 3) to base 8. -1540352 Convert -1593787 (base 10) to base 5. -402000122 -10110100111100100001001 (base 2) to base 9 -12136327 314515 (base 12) to base 6 24335225 Convert 721250 (base 13) to base 15. 377bb8 What is 2077720 (base 10) in base 9? 3816077 aa38 (base 11) to base 10 14561 Convert -100212012011 (base 3) to base 6. -4054221 5e64f (base 16) to base 13 106ca6 2642365 (base 7) to base 12 148714 What is 14c0521 (base 14) in base 4? 212230101301 Convert -a5860 (base 15) to base 8. -2001327 What is 2002220101012 (base 3) in base 9? 2086335 What is 10022021201200 (base 3) in base 8? 6550355 What is 2503404 (base 6) in base 7? 1062502 What is -256a92 (base 14) in base 7? -13635042 234267 (base 10) to base 3 102220100120 What is -1210211122022 (base 3) in base 10? -961289 What is -2432103340 (base 5) in base 8? -25706762 -4025632 (base 7) to base 8 -1644366 What is 10424502 (base 6) in base 2? 1001100110100110110 What is 3210142242 (base 5) in base 11? 3883401 -2157177 (base 9) to base 11 -722577 What is -5631734 (base 9) in base 4? -23210112331 94146 (base 15) to base 3 212211220210 54bb66 (base 12) to base 9 2473716 What is 1218c1 (base 16) in base 15? 18660a What is -2168648 (base 9) in base 2? -100011101000100101011 Convert 1616225 (base 7) to base 14. 5b415 Convert 158992 (base 12) to base 3. 200200110002 Convert 12a285 (base 12) to base 2. 1001011001100000101 Convert -82458 (base 10) to base 13. -2b6bc -13326a (base 11) to base 14 -563ad Convert 7a51 (base 12) to base 3. 200122121 What is 3223032231 (base 4) in base 8? 3531655 -12140014 (base 5) to base 4 -130011001 -156645046 (base 7) to base 6 -1021203501 What is -21010011000 (base 3) in base 14? -39096 What is 80927 (base 10) in base 12? 3a9bb Convert 220424003 (base 5) to base 12. 39a949 -40123434 (base 5) to base 9 -533312 1203143144 (base 5) to base 6 135424055 -562d9 (base 14) to base 3 -101121212110 Convert 1101100220011 (base 3) to base 11. 462642 What is 4003304011 (base 5) in base 4? 132001031020 What is -22573 (base 11) in base 5? -2021004 Convert 2323203001 (base 4) to base 7. 6346426 -1c28 (base 13) to base 7 -15263 Convert 37ed9 (base 16) to base 14. 5d6ad What is 2115305 (base 6) in base 3? 12021002012 -2b182 (base 15) to base 8 -416742 What is 27ea9 (base 15) in base 8? 372270 -100022012022 (base 3) to base 15 -393d2 What is -78259 (base 13) in base 6? -4400511 What is -1010111110110010001 (base 2) in base 7? -3026024 -212141 (base 6) to base 3 -212210021 -123332111 (base 4) to base 16 -1bf95 -22123112 (base 4) to base 11 -2a0a8 What is 144102223 (base 5) in base 2? 10111011110000100111 What is 35435 (base 14) in base 9? 217041 Convert 10310611 (base 8) to base 10. 2199945 What is 124231045 (base 6) in base 4? 21111013211 62757c (base 13) to base 5 1042114312 Convert 34c80 (base 15) to base 8. 510403 -144515303 (base 6) to base 14 -58b395 -21177657 (base 9) to base 16 -9bc2fc 33030003333 (base 4) to base 10 3981567 -140455330 (base 7) to base 10 -9140089 Convert 221250 (base 7) to base 5. 2221032 What is 3023121230 (base 4) in base 14? 179896 Convert 95233 (base 15) to base 6. 14045450 What is -114155 (base 9) in base 5? -4144112 Convert 87225 (base 9) to base 7. 330305 What is -331404025 (base 7) in base 12? -6821a84 What is 132223211200 (base 4) in base 7? 125235352 -101100010011110110 (base 2) to base 12 -89046 Convert -2ad2b7 (base 15) to base 14. -3bc293 48103 (base 11) to base 9 115100 Convert 11100111001010 (base 2) to base 3. 202021221 974088 (base 11) to base 13 426b25 Convert 23e47 (base 15) to base 16. 1bfa0 -117cd5 (base 15) to base 5 -203232100 22004301 (base 6) to base 10 654157 12020113123 (base 4) to base 8 6102733 -1706c78 (base 13) to b
{ "pile_set_name": "DM Mathematics" }
he terms in -6 - 406*j**3 - 2*j**2 + 6 + 1111*j**3 + 721*j**3 - 2*j. 1426*j**3 - 2*j**2 - 2*j Collect the terms in 21*s**3 + 28 - 49*s**3 - 2*s**2 + 18*s**3. -10*s**3 - 2*s**2 + 28 Collect the terms in 56*r**2 + 11 + 16 - 25 + 28*r**2. 84*r**2 + 2 Collect the terms in -11*l + 2*l**3 - 61*l + 72*l + 37*l**2. 2*l**3 + 37*l**2 Collect the terms in 13680900*t + 13680910*t - 27361807*t. 3*t Collect the terms in -18 - 23 - k - 24*k**2 - 2*k**2. -26*k**2 - k - 41 Collect the terms in -392*v - 6*v + 18*v. -380*v Collect the terms in 3*w**3 + 0*w**3 + 13*w**3 - 9*w**3 + 3*w**3. 10*w**3 Collect the terms in 3113 - 3113 - 7*x. -7*x Collect the terms in 167*i**3 + 24*i**3 + 527*i**3. 718*i**3 Collect the terms in 52*o**3 + 55*o**3 + 45*o**3 - 219*o**3 + 50*o**3. -17*o**3 Collect the terms in -106 - 18*m**2 + 38720*m + 106 - 38722*m. -18*m**2 - 2*m Collect the terms in 3823*s + 2*s**2 - 1893*s - 1930*s. 2*s**2 Collect the terms in -57926726*z + 2*z**3 + 57926726*z. 2*z**3 Collect the terms in 2*h**2 - 34*h**2 - 8*h**2 + 15*h**2 - 38*h**2. -63*h**2 Collect the terms in 20*a - 27*a - 100*a + 9*a. -98*a Collect the terms in 10*u + 29 + 38 - 67 + u - 7*u. 4*u Collect the terms in -10*t**3 + 751075 - 751075. -10*t**3 Collect the terms in 450 + 8*z - 868 + 410. 8*z - 8 Collect the terms in 32 - 377*k - 51 + 19. -377*k Collect the terms in 94*q**2 + 76*q**2 + 71*q**2 + 102*q**2 - 373*q**2. -30*q**2 Collect the terms in 220547450 - 220547450 + 5*f**2. 5*f**2 Collect the terms in -25923*f**2 - 32*f + 32*f + 0 + 25971*f**2 + 0. 48*f**2 Collect the terms in 20 - 781*m + 25 - 54 + m**2 + 781*m. m**2 - 9 Collect the terms in -17819 + 17819 + s**2 - 125*s**3. -125*s**3 + s**2 Collect the terms in -100*o**2 + 200*o**2 - 67*o**2 - 76*o**2. -43*o**2 Collect the terms in 46*m**2 - 47*m**2 - 640933008 + 640933008. -m**2 Collect the terms in -2*m**3 - 354*m - 9*m**3 - 21*m**3 + 32*m**3 - 2*m**3. -2*m**3 - 354*m Collect the terms in -18804*h**3 + 9403*h**3 + 9380*h**3. -21*h**3 Collect the terms in -65740 + 131472 + 69*x**3 - 65732. 69*x**3 Collect the terms in -805935*g + 402970*g + 402974*g. 9*g Collect the terms in -66*z + 3 - 68*z - 67*z + 198*z. -3*z + 3 Collect the terms in -34597*f - 34597*f + 103802*f - 34604*f. 4*f Collect the terms in -60*q**3 + 21*q**3 - q**3 + 17*q**3 - 105*q**3. -128*q**3 Collect the terms in 53*l + 38*l**3 + 35*l**3 - 69*l**3. 4*l**3 + 53*l Collect the terms in f - 149 - 166 - 145 + 626 - 166. f Collect the terms in 14*t**2 + 5*t**2 + 0*t**2 + 87*t - 87*t. 19*t**2 Collect the terms in -7*n - 26997 + 54001 - 27004. -7*n Collect the terms in -3*q**2 - 9 + 23 - 14 - 36*q**2. -39*q**2 Collect the terms in -14*f**2 - 799*f**3 - 7*f**2 + 21*f**2. -799*f**3 Collect the terms in 129*s - 129*s - 1049*s**3. -1049*s**3 Collect the terms in 60586 - 865092*z**2 + 865088*z**2 - 60586. -4*z**2 Collect the terms in -m**3 + 17218*m**2 - 8607*m**2 - 8611*m**2. -m**3 Collect the terms in -2*k + 141 - 6 + 161. -2*k + 296 Collect the terms in 90*c**2 + 281*c - 279*c - 84*c**2. 6*c**2 + 2*c Collect the terms in 95 + 30 + 18*y + 2*y**2 + 22*y - 35*y + 27. 2*y**2 + 5*y + 152 Collect the terms in 2 + 2 - 24*t**2 + 4 - 8. -24*t**2 Collect the terms in 5 - 201*d + 101*d + 13 + 103*d - 18. 3*d Collect the terms in 6328388*c**2 + 4 - 4 - 4*c**3 - 6328388*c**2. -4*c**3 Collect the terms in -2330*u + u**2 - 2333*u - 11*u**2 + 4663*u. -10*u**2 Collect the terms in -5*i + 5*i - 2*i**2 + 0*i**2 + 27. -2*i**2 + 27 Collect the terms in 94*q**3 - 16*q**3 + 18*q**3 - 8*q**3. 88*q**3 Collect the terms in 4 - 1 - 5 - 109*l**2 + 4 - 88*l**2. -197*l**2 + 2 Collect the terms in -9*n**2 + 256*n - 262*n + 15*n**2 + 6*n. 6*n**2 Collect the terms in 62*t - 89*t - 184*t. -211*t Collect the terms in 14*q**2 - 11*q**2 - 9*q**2 + 25*q**2 + q**2 + 25*q**2. 45*q**2 Collect the terms in 100*o + 36*o + 17*o - 33*o - 2. 120*o - 2 Collect the terms in 40*b - 9411961 + 9411961. 40*b Collect the terms in 1049*c + 837*c - 1899*c. -13*c Collect the terms in -21*k + 2*k**2 + 341*k - 320*k. 2*k**2 Collect the terms in -154*j**2 - 208*j**3 + 163*j**2 - 9*j**2 + 217*j**3. 9*j**3 Collect the terms in 157519*g**2 - 92*g**2 + 4972*g**2. 162399*g**2 Collect the terms in 0*g**3 + 1331*g**2 + 1039*g**2 + 2*g**3 - 416*g**2. 2*g**3 + 1954*g**2 Collect the terms in -295350*r + 30*r**2 + 295350*r + 1 + 1. 30*r**2 + 2 Collect the terms in 14279*f - 7241*f - 7183*f. -145*f Collect the terms in -60948*n + 121898*n - 60938*n. 12*n Collect the terms in 25 - 76462*c**2 - 25 + 76468*c**2. 6*c**2 Collect the terms in -6*f - 1732*f**2 + 6*f + 1718*f**2. -14*f**2 Collect the terms in 1 + 5*u**3 - 1 - 929*u**2 + 929*u**2. 5*u**3 Collect the terms in 5437066*k + 3*k**2 - 5437066*k. 3*k**2 Collect the terms in -166*d - 3 + 2*d**2 + 8 - 4*d**2 - 1. -2*d**2 - 166*d + 4 Collect the terms in j + 583723 - 583723. j Collect the terms in -1 - 24*v + 17*v + 6. -7*v + 5 Collect the terms in 20*h**2 + 2*h**2 + 12*h**2 - 5*h**2 + 35*h**3 + 0*h**2. 35*h**3 + 29*h**2 Collect the terms in -9*c**2 - 5*c**2 + 94 + 31*c**2 - c - 2*c**2. 15*c**2 - c + 94 Collect the terms in 99 - 211 + 51*p**2 + 99. 51*p**2 - 13 Collect the terms in 123 - 41*v**3 - 124 - 25*v + 8*v**3 + 2*v**3. -31*v**3 - 25*v - 1 Collect the terms in -36*i - 32330*i**3 + 36*i. -32330*i**3 Collect the terms in 2 + 629*t - 13*t - 2. 616*t Collect the terms in -544842010*q - 248*q**2 + 544842010*q. -248*q**2 Collect the terms in 18522*l**3 + 36346*l**3 - 6213*l**3. 48655*l**3 Collect the terms in -33*h**2 - 19*h**2 + 85*h**2. 33*h**2 Collect the terms in -17*v + 7688 - 7688. -17*v Collect the terms in 3 + 79477892*n**2 - 4*n**3 - 3 - 79477892*n**2. -4*n**3 Collect the terms in 45 + 1033*x - 75 + 30. 1033*x Collect the terms in 50 + 175*h - 50 + 268*h. 443*h Collect the terms in 100913778 - 100913778 - 4*u. -4*u Collect the terms in -42*x + 91*x**2 + 42*x + 46*x**3. 46*x**3 + 91*x**2 Collect the terms in 68041*l**3 - 136081*l**3 - 8*l**2 + 68041*l**3. l**3 - 8*l**2 Collect the terms in 8*q - 4 - 1205*q**3 - 3*q + 4. -1205*q**3 + 5*q Collect the terms in -411 + 6925*q + 411. 6925*q Collect the terms in 172275 - 6*d**2 + 4*d**2 - 2*d**3 + 2*d**2. -2*d**3 + 172275 Collect the terms in 17*g + 6*g + 18*g - 2*g - 9*g. 30*g Collect the terms in 32479793*s**2 - 32479793*s**2 - 312*s**3. -312*s**3 Collect the terms in 10*o + 130*o**2 - 6*o - o**3 - 4*o - o**3. -2*o**3 + 130*o**2 Collect the terms in 45*t**3 - 13*t**3 - 6*t**3 - 21 - 25*t**3. t**3 - 21 Collect the terms in -50*g - 54*g + 178*g - 46*g - 78*g. -50*g Collect the terms in -8930 + 13*n + 8930 - 10*n. 3*n Collect the terms in 0*i - 4680*i**3 + 3*i - 3*i. -4680*i**3 Collect the terms in -401*l + 14*l**3 - 11*l**3 + 130*l + 121*l + 150*l. 3*l**3 Collect the terms in -112*w - 186*w**3 + 112*w - 219*w**3 - 178*w**3 + 584*w**3. w**3 Collect the terms in 38879 - 38879 + 5*r**2. 5*r**2 Collect the terms in -60*g**3 + 11*g**3 + 38*g**3 + 14*g**3. 3*g**3 Collect the terms in -7*f + 81187 - 81187. -7*f Collect the terms in -471 + 945 - 474 - 12*z. -12*z Collect the terms in -5 - 6*o + 0 + 4*o + 11. -2*o + 6 Collect the terms in -9*q + 21*q - 2*q + 49710*q**2 - 49721*q**2 - 10*q. -11*q**2 Collect the terms in -5141*k - 7 + 5135*k + 7. -6*k Collect the terms in -135*j**2 - 322*j + 323*j + 1 - 1. -135*j**2 + j Collect the terms in -14839*z**3 + 4948*z**3 + 4940*z**3 + 4948*z**3. -3*z**3 Collect the terms in -20*v**2 + 50*v**2 - 8*v**2 - 15*v**2. 7*v**2 Collect the terms in -4*s + 4*s + 242*s**3 + 189*s**3. 431*s**3 Collect the terms in -67*n**3 + 15*n**2 - 51*n**3 - 13*n**2. -118*n**3 + 2*n**2 Collect the terms in -7*g**3 + 57*g**2 + 58*g**2 - 32*g**3 + 48*g**2 - 161*g**2. -39*g**3 + 2*g**2 Collect the terms in -34*k**2 + 11*k**3 - 18*k**3 + 34*k**2. -7*k**3 Collect the terms in -23*m + 3*m**2 - 2*m**2 + 54*m + 43*m. m**2 + 74*m Collect the terms in 1765 - 1765 + 77211*p**2 - 77213*p**2. -2*p**2 Collect the terms in -2 - 10 + 22*b**3 - 19 + 6. 22*b**3 - 25 Collect the terms in -30 + 21 + 9 + 11*p**2. 11*p**2 Collect the terms in 17*t - 4*t**2 + 2*t**2 + 5*t**2 + 24*t. 3*t**2 + 41*t Collect the terms in 4514*s + 4516*s + 3*s**2 - 9030*s. 3*s**2 Collect the terms in -65*c + 702*c + 153*c + 73*c. 863*c Collect the terms in 289*p - 289*p + 1837*p*
{ "pile_set_name": "DM Mathematics" }
*3 + 13*y + 9*y - 22*y. -101*y**3 Collect the terms in 429 - 6*s**3 - 429. -6*s**3 Collect the terms in 812790*o**2 + 11*o**3 - 812790*o**2. 11*o**3 Collect the terms in -3*n**2 + 4*n**2 + 6*n**2. 7*n**2 Collect the terms in -20*b**2 - 30*b**2 - 9*b + 51*b**2 + 9*b. b**2 Collect the terms in -89 - 72*w + 89. -72*w Collect the terms in j**3 - 13480*j - j**3 - j**3. -j**3 - 13480*j Collect the terms in 0*l + 11*l**2 + 0*l + 0*l. 11*l**2 Collect the terms in 13839 + 7*a - 13839. 7*a Collect the terms in 3 + 2 - 5 + 91*y**2. 91*y**2 Collect the terms in 571*r + 394*r - 226*r. 739*r Collect the terms in 0*n**3 + 0*n**3 + 3*n**3. 3*n**3 Collect the terms in 46*v**2 - 112*v**2 + 46*v**2 + 47*v**2. 27*v**2 Collect the terms in j**3 + 28*j**3 - 13*j**3. 16*j**3 Collect the terms in 0 + 31*j**2 - 1 + 1. 31*j**2 Collect the terms in -4*l - 5*l - 8*l + 22*l. 5*l Collect the terms in 65569*b - 65569*b - 14*b**2. -14*b**2 Collect the terms in -17*n - 1 - 37*n - 1. -54*n - 2 Collect the terms in -3*r - 173*r**3 + 3 - 4 - 2*r. -173*r**3 - 5*r - 1 Collect the terms in -126*m**2 - 249 + 249. -126*m**2 Collect the terms in -17*g + 17*g - 49*g**2. -49*g**2 Collect the terms in -2*t**3 - 178*t + 178*t. -2*t**3 Collect the terms in 0*i - 15*i + 7*i + 5*i. -3*i Collect the terms in 4 - 82*p**3 - 2 - 2. -82*p**3 Collect the terms in 622 - 622 + 14*s. 14*s Collect the terms in -7*r + 5*r + r - 3*r. -4*r Collect the terms in 42*s**3 + 36 - 20 - 16. 42*s**3 Collect the terms in 5*w**3 - 3*w**3 + 493585*w**2 - 493585*w**2. 2*w**3 Collect the terms in 49 - 125 + 4*s**2 + 76 - 3*s**2. s**2 Collect the terms in -i**2 - 2*i**2 - 2*i**2 + 2*i**2. -3*i**2 Collect the terms in -65*j - 116 + 117 - 9*j. -74*j + 1 Collect the terms in -3*b - 15*b**2 + 3*b + b**3. b**3 - 15*b**2 Collect the terms in -154*g**2 - 9*g + 2*g - 86*g**2. -240*g**2 - 7*g Collect the terms in 166 - 9*s**2 + 9*s**2 + 4*s**3. 4*s**3 + 166 Collect the terms in 118*m**3 - 24*m**3 - 96*m**3. -2*m**3 Collect the terms in 9*n**3 + 18*n**3 - 35*n**3 + 9*n**3. n**3 Collect the terms in -60*d**3 + 17*d**3 + 48*d**3. 5*d**3 Collect the terms in -14*u - 9*u + 26*u - 7*u. -4*u Collect the terms in 6*x**2 + 26*x**3 - 14*x**2 + 9*x**2 + x**2. 26*x**3 + 2*x**2 Collect the terms in 16 - 16 + 311*c. 311*c Collect the terms in -17*y - 16*y - 6*y**3 - 4*y. -6*y**3 - 37*y Collect the terms in -27*i**3 - 26*i**3 + 0*i**3. -53*i**3 Collect the terms in 1759*a**2 - 887*a**2 - 878*a**2. -6*a**2 Collect the terms in -8*a**2 - 9*a**2 - 66*a**2 - 12*a**2. -95*a**2 Collect the terms in 0 + 0 + 11*f. 11*f Collect the terms in 473 + l - 954 + 481. l Collect the terms in -707*p**3 - 708*p**3 + 1416*p**3. p**3 Collect the terms in -38*l + 100*l - 64*l. -2*l Collect the terms in 859*t + 2*t**3 - 859*t. 2*t**3 Collect the terms in 171*w**3 - 343*w**3 + 173*w**3. w**3 Collect the terms in -108*y**3 + 11*y**2 - 2*y**2 + 109*y**3 - 9*y**2. y**3 Collect the terms in 168*u + 162 - 162. 168*u Collect the terms in 6*s**3 + 0*s**2 + 27*s**2 - 4*s**3 + 6*s**2. 2*s**3 + 33*s**2 Collect the terms in -2*c**3 - 5*c**3 + 4 - 4. -7*c**3 Collect the terms in 7*v**3 - 2*v**3 - 2*v**3 + 0*v**3. 3*v**3 Collect the terms in -517*m**2 + 663*m**2 + 0 + 0. 146*m**2 Collect the terms in 107*i**2 - 108*i**2 - 2*i + 2*i. -i**2 Collect the terms in 0*u**2 + 15 - 7 + 2*u**2 - 7*u**2. -5*u**2 + 8 Collect the terms in -1464*f**3 - 1464*f**3 + 2930*f**3. 2*f**3 Collect the terms in -5*a + 4*a + a + 3*a. 3*a Collect the terms in 1 - 1 + 8*a + 3*a. 11*a Collect the terms in 22*m**3 - 24*m**3 + 36*m**3 + 2*m**2 + 30*m**3. 64*m**3 + 2*m**2 Collect the terms in 11*m**3 + 0*m - 3*m + 3*m. 11*m**3 Collect the terms in 2*p + 2*p - 5*p - 43. -p - 43 Collect the terms in -2239*h - 2240*h + 4477*h. -2*h Collect the terms in -89 + 12 + 77 - 2*o. -2*o Collect the terms in -2 + 2 + 6*t - 5*t**2. -5*t**2 + 6*t Collect the terms in 7*p - 46 + 46 - 3*p. 4*p Collect the terms in -18*f + 10 + 11 + 6 - 25. -18*f + 2 Collect the terms in 5*w - 5*w - 6*w + 3*w. -3*w Collect the terms in -1072*v + 1072*v - v**2. -v**2 Collect the terms in -166 + 166 + 6*t. 6*t Collect the terms in 17*x - 8*x - 9*x + 15*x**3. 15*x**3 Collect the terms in 2*h**2 + h**2 - h**2. 2*h**2 Collect the terms in 7*s**2 - 7 - 21*s**2 - 5*s**2 - 4. -19*s**2 - 11 Collect the terms in 11*h**2 - 11*h**2 - 405*h**3 + 20*h**3. -385*h**3 Collect the terms in -4*q**2 - q**2 - 16*q**2 + 2*q**2. -19*q**2 Collect the terms in 1 + 4 - 5 - 21*l. -21*l Collect the terms in -2*c**2 + 2*c**2 + 2*c**2. 2*c**2 Collect the terms in 11*q**3 - 8*q**3 + 5*q**3 + 12*q**3. 20*q**3 Collect the terms in 11*p**3 - 3*p**2 + p**2 - 13*p**3 + 2*p**2. -2*p**3 Collect the terms in -58*b + 18*b - 49*b - 17*b. -106*b Collect the terms in 4 - 3*a**2 - 1 + 4*a**2 + 4*a**2. 5*a**2 + 3 Collect the terms in -5*w**2 - 3*w**2 + 2*w**2. -6*w**2 Collect the terms in 307*q + 307*q + 306*q - 922*q. -2*q Collect the terms in 0*v - 2*v - 5*v**3 + 2*v. -5*v**3 Collect the terms in 18 - 18 - 17*a**3. -17*a**3 Collect the terms in 122527 + 30*c - 122527. 30*c Collect the terms in 54*n**2 - 94*n**2 + 79*n**2. 39*n**2 Collect the terms in -8*p**2 + 6*p**2 + p**3 + p**3. 2*p**3 - 2*p**2 Collect the terms in -22*c**3 - 511 + 511. -22*c**3 Collect the terms in 29 + f**2 - 2*f**2 - 29 - 4*f. -f**2 - 4*f Collect the terms in 5*w**2 + 25*w**2 - 23*w**2. 7*w**2 Collect the terms in 27*f**2 + 27*f**2 - 59*f**2. -5*f**2 Collect the terms in 51*h**3 + 29*h**3 + 2*h**3. 82*h**3 Collect the terms in 23*a**2 + 6 - 22 + 16. 23*a**2 Collect the terms in 3881*p**2 - 4*p - 3934*p**2 + 4*p. -53*p**2 Collect the terms in 20 - 1 - 19 - 2*o**3. -2*o**3 Collect the terms in 4*n**2 - 372 + 372. 4*n**2 Collect the terms in -8400*s + 4*s**2 + 8400*s. 4*s**2 Collect the terms in 8 - 8 + 55*k**2. 55*k**2 Collect the terms in 145*c - 145*c + 7*c**3. 7*c**3 Collect the terms in -15*r**2 - 12*r**2 + 11*r**3 - 23*r**2 + 50*r**2. 11*r**3 Collect the terms in -11 + 2 - v**2 + 9. -v**2 Collect the terms in -17*h + 84*h**3 - 12*h + 29*h. 84*h**3 Collect the terms in -7*i + 7*i - 10*i**3 + 2*i**3. -8*i**3 Collect the terms in 7*n**2 + n**2 - 3*n**2 - 3*n**2. 2*n**2 Collect the terms in -22*y + 43*y - 23*y. -2*y Collect the terms in -6*q - 2203*q**3 + 6*q. -2203*q**3 Collect the terms in -j + 4*j + 2*j - 11. 5*j - 11 Collect the terms in 108*f**2 + 58*f**2 + 80*f**2 - 64*f**2. 182*f**2 Collect the terms in -51*n**3 - 252*n**3 - 167*n**3. -470*n**3 Collect the terms in 47 - 70 - 4*u + 23. -4*u Collect the terms in t**2 + t**3 + 7*t**2 + 0*t**3 - 3*t**3. -2*t**3 + 8*t**2 Collect the terms in 1170*h - 3*h**3 - 1170*h. -3*h**3 Collect the terms in 0*a + 8*a - 18*a + 8*a. -2*a Collect the terms in -31*l**2 + 12*l**2 + 19*l**2 + 20*l**3. 20*l**3 Collect the terms in 17*k**3 - 6*k**2 + 6*k**2 + 7*k**3. 24*k**3 Collect the terms in 10*z**2 - 29 - 8*z**2 + 29. 2*z**2 Collect the terms in -6*b**2 - 4*b**2 + 0*b**2 + 15*b**2 - b**2. 4*b**2 Collect the terms in 522*v + 514*v - 1033*v. 3*v Collect the terms in -x - 82 + 82 - 13*x. -14*x Collect the terms in -2 + 3370*k**3 + 2 - 3376*k**3. -6*k**3 Collect the terms in 12*i - 12*i - 58*i**2. -58*i**2 Collect the terms in -37*h**2 - 25*h**2 + 3*h - 7*h + 2*h. -62*h**2 - 2*h Collect the terms in 124*b**2 - 10325 + 10325. 124*b**2 Collect the terms in -17*i - 123*i**2 + 17*i. -123*i**2 Collect the terms in 82*v**2 - 58*v**2 + 117*v**2. 141*v**2 Collect the terms in 12*t + 209954 - 209954. 12*t Collect the terms in -54*m**3 + 141*m**3 - 44*m**3 - 50*m**3. -7*m**3 Collect the terms in 19*w + 0*w**2 + 8*w**2 + 0*w**2 - 19*w. 8*w**2 Collect the terms in -18*b + 6*b + 11*b + 2*b. b Collect the terms in -3*t**3 + 7*t**3 - 142*t**2 - 7*t**3. -3*t**3 - 142*t**2 Collect the terms in 89*j + 87*j + 87*j - 259*j. 4*j Collect the terms in 83*w**3 + 16*w**3 + 40*w**3. 139*w**3 Collect the terms in 0*y + 81*y**2 - 32*y**2 + 0*y - 44*y**2. 5*y**2 Collect the terms in -1 - 12 + 13 + 30*a**2 - 3*a. 30*a**2 - 3*a Collect the terms in -7 + 8*o**2 + 3 + 3*o**2. 11*o**2 - 4 Collect the terms in -24*f**3 - 9*f**3 - 2*f**2 - 2*f**2. -33*f**3 - 4*f**2 Collect the terms in 2 - 388*c**2 + 202*c**2 - 306*c**2. -492*c**2 + 2 Collect the terms in -17 - 20 - 22*i**3 + 37. -22*i**3 Collect the terms in
{ "pile_set_name": "DM Mathematics" }
+ -5? -31 What is 0 + 2 + 33 + (-13 - 11) + (2 - -8)? 21 Evaluate -82 + (20 - (-1 + 4)). -65 Evaluate (-70 - 1) + 164 + -140. -47 Calculate (-240 - (-159 - -58)) + 54. -85 Calculate (83 - (105 + -39)) + (21 - -6). 44 8 + (5 - 13 - -7 - (9 + -7)) - -21 26 Calculate 5 + -16 + 0 + (4 - 0) - -87. 80 What is (-3 - 6 - 0) + 2 + (7 - 15 - -71)? 56 Evaluate 70 + (-288 + 298 + (-20 - (-3 - -1)) - -5). 67 What is -68 - (31 - (22 - -58))? -19 Calculate (-2052 - -2099) + (-2 - -5). 50 2 - -121 - (1079 - 1018) 62 Calculate (-1 - -9 - 25 - -29) + 34 + 1. 47 37 + -62 + (1 - 8) + 12 + (3 - 3) -20 Evaluate -1 + 6 + -62 + 289 + -150. 82 288 + (-466 - -200) + 13 + -1 34 Calculate -5 - (1 + 11 + -9 + -3 + 6 + -9). -2 -13 + -1 + -1 + 1 - (116 - -4 - 2) -132 Calculate (5 - (25 + -19)) + 2 + (2 - -146). 149 What is -108 - (-81 - 71 - -113)? -69 Calculate -1 + -19 + -1 + (874 - 860) - 13. -20 What is the value of -23 - (6 - (81 + -6)) - 1? 45 What is the value of 12 + (-114 - (26 - -3)) + 3 + -9? -137 Calculate 1 - (1 - 89) - (29 - 12). 72 Evaluate -12 - ((23 - (-10 - -38)) + (-1 - 56)). 50 What is the value of 1 + (5 - (-8 - -15)) + -5 - (36 + -33)? -9 What is the value of 78 - (10 - -30 - -29)? 9 What is the value of (51 - 78) + -32 + 7 + 13? -39 (-6 - (66 + 1 + -14)) + 6 + 3 + -8 -58 What is (-6 + 0 - -5) + -3 + 7 + -88 + 120? 35 What is the value of -9 - (-6 + 85 - (30 + 7))? -51 What is -53 + 7 + (-23 - (-4 - 15))? -50 What is -124 - (-108 - (50 - 107))? -73 What is 178 + -75 + -65 + -73? -35 Calculate (-15 - (4 + -10) - (-11 - -1)) + 2 + -43. -40 Calculate -4 + 38 + 21 + -43 + 129. 141 What is the value of (3 - 2 - 5) + (-60 - -50)? -14 Evaluate (-7 - (10 + (6 - 9) - 8)) + 7 - -35. 36 Evaluate (-1 - 125) + (-334 - 66) + 443. -83 -12 + (-13 - -17) - (-26 + 116 - -4) -102 What is the value of 7 - (7 - -6) - ((-24 - -22) + 18)? -22 What is the value of (-133 - ((18 - 33) + 43)) + 36? -125 Calculate 37 - (-4 + -2 + 3 - ((16 - -24) + -39)). 41 What is (-7 - -18) + (-27 - 28)? -44 What is -132 + (7 - 46) + 87? -84 29 + (21 - 43) + (41 - (6 - (3 - 0))) 45 52 + -81 + (7 + 6 - -1) -15 Calculate -62 + -2 + 0 + 3 + 1 + -313 + 308. -65 What is (-12 - -18 - 1) + (-11 + -51 - -2) + -14? -69 What is the value of (-3 + 2 - -9 - (-721 + 724)) + 15? 20 Calculate (726 - 708) + -1 + 3. 20 Calculate (92 - -1) + (10 - 8 - 21) + -8 + 14. 80 Evaluate -858 + 909 + (-68 - 0). -17 What is the value of (16 - 8) + (1 - 143 - (18 + -21))? -131 Calculate 7 + (-12 + -3 - -5) + (-3 + 3 - -44). 41 0 + -1 + 31 - (17089 + -17086) 27 What is the value of 35 + 11 + 66 + -65? 47 Calculate 1 - 17 - (-74 + (-34 - -14)). 78 What is the value of -9 + -1 + (12 - 15 - -14) - -29? 30 Evaluate -47 + -1 - (-21 - 38 - -53). -42 -76 + -14 - -80 - (2 + 12 + -2) -22 101 + (-49 - 5) + -40 7 (132 - 130) + -22 + (-2 - -6) -16 -50 - ((0 - 15) + -1 + (17 - (16 - 8))) -43 Calculate 62 - (68 + -91 + 201). -116 Calculate 1 + -3 - -111 - (68 + -204 - -142). 103 Calculate -8 + -19 + -3 - (11 + (-15 - 8)). -18 (-78 - -35) + (78 - 1) 34 Evaluate (-524 - -520) + (16 - 0) + -1 + (22 - 132). -99 What is the value of 0 + -38 + (-11 - (0 + -16 - -20))? -53 Evaluate 32 + 4 + (-22 - 16). -2 What is the value of 3 + (0 - 2) + 4 - (153 + (146 - 186))? -108 What is the value of 60 + (-90 - -24) - (-3 + 9 - (1 - 3))? -14 What is the value of -3 + -5 + (9 - 4) + (-6 - -14) - -32? 37 What is -43 - ((120 - 26) + -59)? -78 8 - 9 - ((15 - 23) + 17 + 2 + 1) -13 (-8 - -1) + 7 + -40 + 41 - -25 26 51 + (-110 - -27) + -66 -98 What is the value of (-21 - (-51 + 10)) + (-11 - -1) - -128? 138 What is 18 + (1 - 0) + 25 + -110? -66 Calculate (-45 - -74) + 39 + (-8 - (0 - -1)). 59 Calculate (4 - (0 + -1)) + 89 + (23 - 33). 84 What is -8 + -20 + 5 + 3 + 11? -9 What is (28 - 66 - -22) + 37 - 20? 1 (9 - (16 - 27)) + -18 + 0 + -1 - 70 -69 4 - (2 + -13) - (-364 + 383) -4 -8 + (2 + -9 - (-258 + 273) - -141) 111 (-20 - (-92 - -73)) + (110 + -1 - -3) 111 Evaluate 140 - ((63 - 67) + 103). 41 14 + -1 + -50 + 1 -36 37 - (23 - (23 - (38 + -23))) 22 Evaluate 21 - 0 - (-12 - (60 + -88)). 5 (5 - -5) + -37 + -56 + 51 -32 What is 34 + (-4 - 17) + -53? -40 390 + -151 + -133 + -103 3 Calculate 47 + -73 + 28 + -32. -30 -9 + -3 + (109 - 112) - (0 - -7 - 4) -18 What is -44 + 25 + 26 + -61? -54 Evaluate (-974 - -815) + (11 - -77). -71 Evaluate -33 + (21 - (23 - (-14 - 2))). -51 What is the value of (1349 - 1332 - (-1 - 10)) + -24? 4 Calculate (-4 - (-12 + -1)) + 1 + -7 - (-1 - 4). 8 1607 - 1599 - (-16 + -2) 26 -4 - ((-13 - -63) + -33 - (-1 - -7)) -15 Calculate (-6 - -20) + 132 + -226. -80 What is 108 - ((-3 - (22 - 41)) + -43)? 135 What is 38 + -4 + -152 - (-3 - (-2 + 3 + 8))? -106 53 + -31 + 67 + -43 46 What is the value of (-8 - 29) + (-17 - (-29 - 16))? -9 Evaluate -13 + -142 + 23 + 16 + 21. -95 Evaluate -1 - -52 - ((7 - (36 + -3)) + 29). 48 330 + -332 - (-2 + 3 + 57 + 1 + 2) -63 What is the value of 3 + -49 + (11 - -2) + 10 + -3 + -19? -45 -3 - (-6 - 15 - (-23 - (102 - 16))) -91 Evaluate 79 - (0 + (-2 - -27) - (-72 + 83)). 65 Calculate 56 + (-7 + 15 + -2 + -1 - 7) + 5. 59 Calculate -7 - -3 - ((51 + -13 - 0) + 37). -79 Calculate 6 + (78 + -69 + (-51 - -1) - 9) + 5. -39 (22 - (-2 - 10)) + -58 + -68 -92 49 - (96 + -2 - 50) 5 Evaluate 265 + -706 - -401 - ((-1 - -1) + -20). -20 -10 + 2 + (-117 - (-2 + -8) - -2) -113 Evaluate -45 + 1 + (-3225 - -3227). -42 (1 - (-2 + 2)) + (-8 + 2 + -3 - -17) 9 Evaluate -10 - -41 - (29 + -38 - 6). 46 What is -50 + -71 + 34 + 28? -59 65 + -97 + -67 + 131 32 Evaluate -7 - (6 + -6) - (5 + 16 + -19). -9 Calculate 46 + (-41 - (-41 - -3)). 43 What is (-320 - -297 - (-51 - -1)) + -59? -32 (1 - (-12 - (-6 + (21 - -9)))) + -5 32 Evaluate (-16 + 4 - 6) + -20 + 31 + -1. -8 What is 223 - 216 - (-28 + 3)? 32 What is -14 + (44 - -61 - 48)? 43 -19 + 40 + 6 - (-1 + 95) -67 Evaluate 11 - (-60 + 55 - (0 + -3)) - 4. 9 Calculate 1 + -3 - (63 + (-90 - -47)). -22 What is the value of (29 - 36) + 18 + -12 + -8? -9 What is 1 + -13 - ((-10 + 16 - 42) + 19 + 75)? -70 -8 - ((-10 - (22 + -51)) + -21) -6 -46 + 36 + -8 - -66 48 Calculate (3 - -1 - 12 - (-34 + 11)) + -95. -80 What is -4 + -32 - ((9 - 121) + 94)? -18 (19 + -18 - 34) + 24 -9 What is the value of (2 - (-1 + -26)) + -32 + 18 - 109? -94 What is the value of 92 - (-29 + 141) - 56? -76 Calculate -38 + 89 + -81 - -47. 17 What is 8 - ((6 - (-6 - -8)) + (0 + 0 - 17))? 21 730 - 709 - (5 - (1 - (0 - 0))) 17 Evaluate (-5 - -7) + -2 - (18 - 28 - -20). -10 2 + -1 + (-25 + -1 - (68 + -115 - -26)) -4 132 + -74 + -17 + -64 -23 What is (21 + -39 - -18) + 3? 3 -40 - (-32 - 7 - -11) -12 What is 45 + -26 - (7 + 6 + -13)? 19 Calculate (-4 - (-66 + (-4 - -8) + -6) - -5) + -1. 68 What is (6 - 20) + 10 + (-19 + 16 - 82)? -89 Evaluate (-49 - (-22 + 3)) + 17. -13 What is 3 + -66 + 39 - (0 + -27)? 3 Evaluate 0 - -12 - (-4315 + 4390). -63 Calculate 28 - (-8 - (10 - ((3 - 0) + 0 + 5))). 38 -58 + 93 + 211 - 125 121 What is -14 + -15 + 20 + -9 + 1 + 44? 27 Calculate -18 - (123 + -127) - (2 - (46 + -2)). 28 What is the value of -77 - ((66 - 290) + 103)? 44 Calculate (153 + -266 - -47) + (0 - (-2 + -1)). -63 (-4 - (15 + (33 - 21) + (-33 - 7))) + -8 1 -109 - -105 - ((-5 - 41) + 4) 38 What is the value of (-2 - 67) + -293 + 336? -26 Evaluate (-186 - -182) + -35 + 0. -39 Calculate (-11 - -14) + -3 + 0 + 15 + -9 + 4. 10 What is 43 + -26 + -50 + -1 + 10? -24 (-108 - -109) + (-3 - -5 - 17) - 14 -28 39 + -123 + 51 + 70 37 Calculate 65 + -214 + 36 - -122. 9 Evaluate 10 + (25 - 52) - -17. 0 What is the value of 26 + 0 + (13 - -40 - 26) + -24? 29 What is the value of -39 - (-2 + (2 - (20 + 5)))? -14 Calculate (7 - 5) + -8 + (25 + -2 - 10). 7 Calculate (-6 - 10) + 26 - (5 - -17) - -48. 36 What is (47 - -37) + -6 + 0? 78 Evaluate (31 - (1 + -1 + (-6 - 9 - -9))) + -5. 32 Evaluate -41 + 54 + (58 - 9). 62 What is (7 - (6 + 33)) + -26 + 40? -18 What is -19 + (0 - -153) - (7 + 11 + -4)? 120 -6 + (-4 - -3) + -3 + 2 + 684 + -653 23 What is the value of 7 + -71 + (5 - -43)? -16 -55 + 14 + (7 - -36) 2 Evaluate -62 - (-40 + 8) - -25. -5 54 + -55 + 92 - 47 44 Evaluate -53 + (-5 - -2) - (-36 - ((6 - 39) + 7)). -46 What is the value of 0 + (-5 - 5) + (5 - (16 - 0))? -21 What is 20 - (-15 + (-14 - (26 - 9 - 29)))? 37 What is 70 - (-70 + 73 - (-7 - -12 - (0 -
{ "pile_set_name": "DM Mathematics" }
0*q. Solve q*w + 3 = -2*w - m, 2*w + 6 = -4*m for w. -1 Let x = 17 - 10. Let z(q) = q**3 + 5*q**2 + 6*q + 5. Let s be z(-4). Let i be 0 - s/((-9)/(-6)). Solve 5*y = 2*j - x, -y + i*j + 11 = -2*y for y. -3 Let t = -112 - -133. Suppose -o = -3*o + 6. Solve t = 3*g - o*n, -2*g - 4 = 3*n + n for g. 4 Let q be (-8)/12*(1 + -7). Suppose 0 = -5*v + q*v. Solve 5*a - w - 4*w + 15 = v, 5*a + w = -15 for a. -3 Let g be (-3 - -3) + 2 + 0. Suppose 3*m + x = -2, 5*x + 10 = -g*m + 4*m. Solve 5*r + v = m, -v + 2*v = 4*r - 9 for r. 1 Suppose 0 = -4*s - 5*l + 3*l - 6, 4*l = s - 12. Let x be 2 + s + (2 - 1). Solve -5*u + x*r - 18 = -2*u, -5*r = -2*u - 21 for u. -3 Let t be 7*((-36)/14 + 3). Solve -r = 4*z + 20, -t*r - 3*z - 15 = -0*z for r. 0 Suppose 5*t - 16 = t. Suppose t*u + 4 = 3*u. Let k(m) = -2*m - 4. Let i be k(u). Solve s - b - 7 = 0, -i*s + b + 24 = 8 for s. 3 Let q(v) = -2*v - 3. Let p = -15 - -6. Let o be (-1 - -4)/(p/12). Let g be q(o). Solve w = -5, -g*w - 18 = 4*h + 15 for h. -2 Suppose 0 = 3*z - 0*v + 4*v, 0 = -z - 2*v - 2. Suppose 12 = -0*f + 4*f. Suppose 0*h + h - f = 0. Solve z*k - 3*m - 2*m - 5 = 0, -h*k + 4*m = -4 for k. 0 Let q(s) = -s**3 - 6*s**2 + 6*s - 5. Let r be q(-7). Let p = r + -2. Solve p = n + l - 0 - 1, -2*l = n for n. 2 Suppose -21 = -6*p - 9. Solve p*w = -3*i - 15, -3*i - 3*w + 0*w - 15 = 0 for i. -5 Suppose 0 = 5*y - y + 4*a - 48, 4*a + 12 = y. Let s = 12 - y. Solve s*z = 3*f - 5*z, -3*f + 4*z - 3 = 0 for f. -5 Suppose -n - 4*n + 10 = 0. Suppose n*y - 4*y = -6. Solve -o + 1 + y = -3*m, 2*o = 5*m + 8 for m. 0 Suppose 3 = -4*m + 3*z, -2*m + z + 26 = 5*z. Suppose 0*y = 5*y - m*f - 17, 1 = f. Solve 2*n - 5*r = 8, y*r + 10 = 2*n - 4*n for n. -1 Let k(l) = l - 2 - 2*l**2 - l**3 + 6 - 5. Let m be k(-3). Solve 5*s - 3*w + w - 21 = 0, 3*s - 5*w - m = 0 for s. 5 Let y = 17 - 11. Let z(b) = -6*b + 15*b - 6 + 0 - 6*b**2 + 5*b**2. Let m be z(y). Solve -3*v = -0*f - 5*f - 18, -4*f - m = 0 for v. 1 Let p(r) = 2*r**3 - r**2 + 1. Let s be p(1). Suppose -4*a + s*a = -2. Solve -g = -3, -2*h - g - 6 = a for h. -5 Let c(i) = -i + 10. Let o(u) = -3*u + 1. Let j be o(-2). Let p be c(j). Suppose 4*z - 6 = -2. Solve 5 = -4*x + z, -q = -p*x for q. -3 Suppose -3*g = k - 20, 2*k + 10 = -k + 5*g. Let m be (-8)/(-14)*7/2. Suppose m*q - 28 = -2*b - 0*q, -40 = -3*b - 5*q. Solve -x = 5*a - b, x - 2 - k = -a for x. 5 Let k(v) = -v**2 - 4*v + 3. Let m be k(-3). Let a(n) = -5*n - 69. Let l be a(-15). Solve -l*d + d - 24 = p, -2*d = 4*p + m for p. 1 Let k be ((-52)/(-20) + (-6)/10)/1. Solve 0 = k*c + j + 3*j + 4, j + 1 = -2*c for c. 0 Suppose -2*p + 0*p = 0. Suppose n - 1 - 1 = 0. Solve n*h = s + 2*s, p = 2*s + h - 7 for s. 2 Suppose -4 = -4*d - 12. Let g = 32 + d. Suppose 5*o - g = -5. Solve o*p = 5*q + 10, -4*p + 4*q + 7 = -p for p. 1 Suppose -3*q + t + 2 = -9, 0 = -3*q - 4*t + 16. Solve 2*a + 28 = 3*i + i, -q*i + 24 = -a for i. 5 Let h = -261 - -264. Let r(t) = t**2 - t - 4. Let u be r(4). Let q(m) = -m**3 + 5*m**2 + 3*m - 3. Let f be q(5). Solve -2*j - z + f = -2*z, h*j - u = -z for j. 4 Let a = -4 - -6. Solve -4*b + a*q + 10 = -8, 0 = 5*b + 2*q for b. 2 Suppose -4*f - 4 + 16 = 0. Let u be -1 + 1 + (10 - 2). Let t(h) = -h**2 + 5*h - 3. Let n be t(3). Solve -24 = 3*q + f*p, -5*q + 0 = -n*p + u for q. -4 Let f(t) = 3*t**2 + 10*t + 8*t**2 - t**3 + 8*t**3 - 6*t**3. Let o be f(-10). Suppose o = -3*x + 7 + 2. Solve -5*h = a - 25, -x*h = 3*a - a - 15 for a. 0 Suppose -7 = 3*u + 4*b, 3*b - 13 = -3*u + 4*b. Solve -u*q - v = -3*v - 9, -q + 2*v + 3 = 0 for q. 3 Let m be 2*-3*(-2)/3. Let i = -4 + m. Suppose i = 2*k - j - 13, -4*j - 2 = 3*k + 6. Solve z = -z - k*n + 18, -3*n = -2*z - 10 for z. 1 Suppose -3*f + 32 = -i - 163, -2*i - 130 = -2*f. Let s = -40 + f. Solve -5*p = -4*u + 20, -u + s = 4*u for p. 0 Suppose 5*y = 2 + 33. Solve -y = 2*o - h, -h + 5 = 2 for o. -2 Suppose 2*b = 3*i - 56, -2*b + 5*b = -4*i + 52. Solve -4*r - i = -3*d, -r - 4*d = -0*r + 4 for r. -4 Let k be (-8)/(-28) - (-26)/7. Suppose 4*p + 21 = 5*w, 3*p - 4 = -k*w + 19. Solve -j = -3*i + p - 10, 0 = j - 3 for i. -2 Let o = -16 - -20. Solve 0 = -3*k - o*u + 4, 2*k + 2*u - 28 = 7*k for k. -4 Suppose -3 = -5*p + 4*o + 15, 4*o = -4*p. Solve 4*v + 10 = r, 0*v + 2*v = -r - p for v. -2 Let t be 2 - ((-1)/(-1) - 4). Suppose 3*b - 10 = b + 5*z, z = -t*b + 25. Solve 7 = -2*w + 3*l, -b*w + 2*l = -w - 6 for w. 4 Let i = -3 - -7. Let y(t) = -2*t - 1. Let w be y(i). Let u be 1*2 + (1 - w). Solve 0 = 3*b - b - 4*f + u, 2*f = -3*b - 10 for b. -4 Let p = 10 - 5. Let u = p + -2. Let m(a) = a + 6. Let b be m(-6). Solve -u*q - 6 = -b*x + 3*x, -2*x - 4 = -3*q for x. -2 Let u be (-1)/(1 - 1 - 1). Let o be 2 - ((-1 - u) + 4). Suppose -4*r + 2*r + 40 = 0. Solve o = 5*f - 3*n - 9 - 6, 0 = -2*f + 4*n + r for f. 0 Let s = 76 + -72. Solve -2*w + 0 = -3*r - 11, s*r + 2*w + 10 = 0 for r. -3 Suppose 1 = 4*p - 7. Let d be (-4)/(-1) + -1*p. Let y be (-1)/(-2)*(3 + 3). Solve u - y*l = 0, 4*u + d*l + l + 15 = 0 for u. -3 Suppose -3*o = 3*l - 0 - 45, 3*l + 2*o = 44. Suppose -l = -4*f + 2. Suppose 0 = -f*n + 4*s + 36, 3*n + 4*s = -2 - 6. Solve 3*x = n*k - 2, -k - x = 3 - 0 for k. -1 Let z = 5 - 3. Suppose 5*u - 23 = 7. Solve -5*n + 5*f = 40, -z*n + 4*f - 28 + u = 0 for n. -5 Let g(n) = 2*n**3 - 13*n**2 + 7*n - 3. Let d be g(6). Suppose -b = y - 4, -6 = -2*b - 2. Solve y*x = -5*p + d + 26, 3*p - x = 13 for p. 5 Suppose 6*h = h - 15. Let k = h - -7. Solve 0 = k*b - 6 - 10, 0 = 5*u + 5*b + 5 for u. -5 Suppose -1 = 4*d - 9. Suppose 5*v = -2*u + 30, -2*v - 9 = -d*u - 35. Let q = -2 + 7. Solve q*f + 37 = -4*r, -5*f + 4*r - v = -f for f. -5 Suppose 0 = -2*a + 5*n + 70, n + 4*n + 205 = 5*a. Solve 5*o + 5*f = -a, -4*o - 2*f - 28 = -0*f for o. -5 Let f(s) = -s**3 - 8*s**2 - 8*s - 5. Let z be f(-7). Solve 3*k = -3*o - 24, 0 = -z*k - 6 - 4 for o. -3 Let i = -12 - -16. Suppose 0 = 4*t + i*d - d - 10, 4*t = 3*d + 22. Solve 2*s + 31 = -t*w + 5*s, -s + 13 = -2*w for w. -4 Suppose 0 = 16*v - 13*v - 15. Solve -v*g + 2*p - 9 = 0, 2*p - 5 = -0*g + g for g. -1 Let t(q) = -2*q - 2. Let b be t(-2). Suppose -5*a + 22 = -z, -4*a = 3*z - z + b. Let f = -3 - z. Solve f*n + 2*y = -18, 0 = -4*n - y + 6 - 19 for n. -2 Let s(w) = w**2 - 7*w + 2. Let f be s(7). Suppose f*u = 3*u + 2*p + 3, -4*u + 2*p = 2. Let g be (-4 - u)/((-3)/2). Solve h + 4 = a, 3*a + g*a = -5*h - 10 for h. -3 Suppose w = n - 19, n - 65 = -2*n + 5*w. Suppose 2*s + s - n = 0. Let u = 6 - 1. Solve -m + 10*o - s*o = 14, -u = 4*m - 3*o for m. 1 Suppose 5*p + 0 + 15 = 0. Let b = 7 - 10. Let s = b - p. Solve s = v - n + 9 - 4, 4*n = 16 for v. -1 Suppose 23 = 5*f + 4*i - 8*i, -2*f + 14 = -4*i. Solve 13 = -5*o - 0*o + f*w, -2 = 2*o + 2*w for o. -2 Let o = 21 - 21. Solve -2*m + 4 = o, -3*r - 1 = -2*m + 12 for r. -3 Let h = -14 + 16. Solve 3*v - h = -3*s + 4, 0 = 5*v for s. 2 Let i = -3 - -6. Suppose 7*s - 3*s = -4*m, -20 = -i*s + m. Solve -4*t = -t - b + 5, -2*t - s*b = 9 for t. -2 Let v = 3 - -10. Let g = v - -12. Suppose 3*x + 2*x = g. Solve x*s = 2*h + 22, -3*s + 19 = -2*h + 5 for h. -1 Suppose -60 = -2*r - 2*r. Let u = r - 12. Solve -2*o - u*o - 15 = 4*l, 2*l - 15 = 5*o for o. -3 Let k be 2 - 0/2 - -2. Suppose 2*b = 7*u - 2*u - 6, k*b + 2 = 5*u. Let w be 3/((-2)/(-4) - -1). Solve 7*l - b*h + 1 = w*l, 4*l - h - 1 = 0 for l. 1 Let o = -131 - -156. Solve 0 = 5*p - 2*z + 15 + 15, 5*z - o = 0 for p. -4 Let k = 9 + -5. Suppose -42 + 6 = -2*y. Let f be y/1*(-2)/(-4). Solve -s = k*o - 17, -3*s + 6 = -f for o. 3 Suppose c - b + 2 = 4*b, 2*c - b = 5. Suppose -14 = -2*f + p, -3*f + 3*p = 2*f - 37. Solve 2 = 3*k - 4*k - q, c*q = f*k + 34 for k. -5 Suppose -j = -1 + 4. Let n = 2 - j. Solve 0 = 3*w - n*h - 17, 3*h = 5*w - 3 - 4 for w. -1 Let n = 1 + -1. Suppose n = -t - 2*t - 15, 0 = 3*j - 3*t - 30. Suppose 42 + 13 = j*r. Solve -3*d + 2 = -5*q, -4*d = -2*q - 1 - r for d. 4 Let y be 0/((-5)/(15/6)) - -2. Solve 2*x + y*p + 12 = 0, 4*x = -2*p - 2 - 16 for x. -3 Let n = 427 - 423. Suppose -2*w + 35 = 5*x, 2*w + 2*x = 19 + 1. Solve r = n*r - 3*f + 9, -w*r - 3*f = 31 for r. -5 Let k = -12 - -14. Solve 0*n = -n - k, -5*m = 3*n - 14 for m. 4 Suppose o - 20 = -3*o, n + 5*o - 54 = 0. Suppose -n = 5*l - 134. Solve 4*a + 17 = -0*a + r, -5*a - l = -r for a. -4 Let q = 10 - 8. Let d = 2 - q. Solve d = -5*i - 2*w + 25, w + w =
{ "pile_set_name": "DM Mathematics" }
when two letters picked without replacement from {l: 4, q: 3, g: 5}? 1/11 Three letters picked without replacement from horhorrrh. What is prob of sequence rhh? 1/21 Calculate prob of sequence bpbv when four letters picked without replacement from {b: 4, a: 1, y: 1, p: 2, v: 2}. 1/105 Calculate prob of sequence gyoi when four letters picked without replacement from {i: 1, g: 2, y: 3, o: 1}. 1/140 Calculate prob of sequence uags when four letters picked without replacement from suggaauaguu. 1/220 Two letters picked without replacement from wwiiv. Give prob of sequence iv. 1/10 Three letters picked without replacement from ohihldo. What is prob of sequence dhl? 1/105 Two letters picked without replacement from xyq. What is prob of sequence xq? 1/6 Three letters picked without replacement from qpqcpqpxbc. What is prob of sequence bpc? 1/120 Four letters picked without replacement from {r: 1, x: 1, d: 10, h: 5}. What is prob of sequence hhhr? 1/952 Calculate prob of sequence ffff when four letters picked without replacement from fffpfppf. 1/14 Three letters picked without replacement from {m: 1, p: 1, i: 3}. What is prob of sequence ipm? 1/20 Three letters picked without replacement from {j: 4, y: 1, e: 2, b: 6}. What is prob of sequence eby? 1/143 Four letters picked without replacement from {l: 7, y: 2, b: 6}. What is prob of sequence lbyb? 1/78 Four letters picked without replacement from mmbbbbjmjmb. What is prob of sequence bmjm? 1/66 What is prob of sequence ex when two letters picked without replacement from {e: 1, x: 3, w: 3, c: 3}? 1/30 What is prob of sequence cjv when three letters picked without replacement from mmcvcjcjjju? 2/165 Calculate prob of sequence rbb when three letters picked without replacement from tbbgbgggbrggbbubtb. 7/612 Four letters picked without replacement from lgqilllitbtlt. What is prob of sequence lltg? 1/286 What is prob of sequence gkkw when four letters picked without replacement from wgwqbbbkbkqwwqwbkww? 7/15504 Two letters picked without replacement from piytyytaspt. What is prob of sequence sy? 3/110 Four letters picked without replacement from {b: 2, p: 1, g: 4}. Give prob of sequence bpbg. 1/105 What is prob of sequence gz when two letters picked without replacement from ogoggzsnggggsggog? 5/136 What is prob of sequence gsgo when four letters picked without replacement from {s: 2, o: 5, g: 2}? 5/756 Four letters picked without replacement from jjjjcjjjjjcjjjjjjj. What is prob of sequence cjjc? 1/153 Four letters picked without replacement from ffffffffsssfsf. Give prob of sequence ssfs. 10/1001 Two letters picked without replacement from {j: 2, z: 2, l: 4}. Give prob of sequence lj. 1/7 What is prob of sequence hfzf when four letters picked without replacement from dzfhzdfdfdfzf? 1/286 Three letters picked without replacement from ttcscscssfiisyssc. What is prob of sequence scc? 7/340 Two letters picked without replacement from {k: 1, e: 5, n: 3, m: 1, i: 2, o: 1}. Give prob of sequence ke. 5/156 Three letters picked without replacement from cnnncnccnncnncccnnc. What is prob of sequence cnn? 45/323 Three letters picked without replacement from dtdtddttttt. What is prob of sequence dtd? 14/165 What is prob of sequence iou when three letters picked without replacement from giiggigauogiigogg? 1/408 Two letters picked without replacement from fjj. What is prob of sequence fj? 1/3 Calculate prob of sequence rur when three letters picked without replacement from {r: 5, u: 3, m: 1}. 5/42 Three letters picked without replacement from {m: 4, b: 2, r: 8, z: 3}. Give prob of sequence brb. 1/255 Calculate prob of sequence zncg when four letters picked without replacement from ngcnnnnnczg. 1/330 Calculate prob of sequence ccc when three letters picked without replacement from {h: 7, c: 6}. 10/143 Three letters picked without replacement from ejueeja. Give prob of sequence eau. 1/70 Calculate prob of sequence xx when two letters picked without replacement from iuiqqxux. 1/28 Four letters picked without replacement from {g: 4, y: 15}. Give prob of sequence ygyy. 455/3876 Two letters picked without replacement from clcl. What is prob of sequence cl? 1/3 Calculate prob of sequence jjfm when four letters picked without replacement from ejemejfefeoemmeefmf. 1/2907 What is prob of sequence za when two letters picked without replacement from {s: 2, j: 1, a: 1, x: 2, z: 1}? 1/42 Calculate prob of sequence pr when two letters picked without replacement from rpnccvdd. 1/56 Calculate prob of sequence cj when two letters picked without replacement from {j: 3, b: 2, m: 1, g: 2, o: 2, c: 2}. 1/22 Calculate prob of sequence ymv when three letters picked without replacement from ymvnhrr. 1/210 Four letters picked without replacement from {a: 5, o: 4, i: 1, g: 4, s: 1, m: 4}. Give prob of sequence moga. 10/2907 Four letters picked without replacement from {i: 4, l: 4, z: 3, s: 1, x: 1}. Give prob of sequence ills. 2/715 Four letters picked without replacement from ululluuuulluuluuuuu. What is prob of sequence ullu? 65/1292 Four letters picked without replacement from {w: 1, u: 2, v: 2, n: 1, i: 1}. What is prob of sequence vunu? 1/210 What is prob of sequence qzqh when four letters picked without replacement from hqhqqqazkk? 1/210 Four letters picked without replacement from wwllwwwwwwwwwwwlww. Give prob of sequence llww. 7/408 What is prob of sequence appa when four letters picked without replacement from {c: 3, a: 3, m: 3, p: 5, g: 4}? 1/612 What is prob of sequence pn when two letters picked without replacement from zyyypjnzqpypzyypyqyp? 1/76 Two letters picked without replacement from {t: 12, m: 5, a: 2}. What is prob of sequence ta? 4/57 Three letters picked without replacement from jjjrvrgjjgarjrrrja. What is prob of sequence aja? 7/2448 Calculate prob of sequence wwck when four letters picked without replacement from {u: 1, c: 1, k: 1, w: 2, o: 2}. 1/420 Two letters picked without replacement from {y: 7, w: 3, p: 4}. What is prob of sequence yw? 3/26 Three letters picked without replacement from {j: 8, g: 1, a: 7, p: 4}. What is prob of sequence gap? 7/1710 Three letters picked without replacement from {r: 3}. What is prob of sequence rrr? 1 Four letters picked without replacement from {c: 2, e: 2, k: 3, z: 6}. What is prob of sequence cekk? 1/715 Calculate prob of sequence kf when two letters picked without replacement from bklfppli. 1/56 Calculate prob of sequence ono when three letters picked without replacement from nddooqaa. 1/168 What is prob of sequence qnt when three letters picked without replacement from nnqvvkkqtnqnkunkkv? 5/1632 What is prob of sequence uv when two letters picked without replacement from gurxukkvkrrrxgrrxr? 1/153 Two letters picked without replacement from {u: 2, p: 2, x: 1, t: 1}. Give prob of sequence ut. 1/15 Calculate prob of sequence cc when two letters picked without replacement from kzchhpkpckhkz. 1/78 Three letters picked without replacement from hodlohdlohhjjjhdhj. What is prob of sequence jjd? 1/136 Four letters picked without replacement from {k: 5, z: 8, m: 4, h: 1}. Give prob of sequence kmkm. 1/306 What is prob of sequence nwm when three letters picked without replacement from mwwqwmlqnqww? 1/132 Three letters picked without replacement from {s: 1, a: 2, i: 1, m: 1, u: 2}. Give prob of sequence asu. 2/105 Calculate prob of sequence wwgg when four letters picked without replacement from qvvvgqvwgw. 1/1260 Calculate prob of sequence tb when two letters picked without replacement from {n: 2, t: 6, d: 7, j: 1, b: 4}. 6/95 Calculate prob of sequence wgm when three letters picked without replacement from {a: 2, n: 3, m: 1, g: 10, j: 1, w: 1}. 5/2448 Calculate prob of sequence ep when two letters picked without replacement from {z: 6, e: 11, p: 1}. 11/306 Two letters picked without replacement from {o: 1, b: 1, q: 1}. What is prob of sequence qo? 1/6 Three letters picked without replacement from vffffffffffvf. What is prob of sequence fvf? 5/39 Two letters picked without replacement from {t: 2, k: 2, i: 2, a: 4}. What is prob of sequence at? 4/45 Four letters picked without replacement from {s: 1, v: 3, k: 7, h: 5}. Give prob of sequence hvvk. 1/208 Three letters picked without replaceme
{ "pile_set_name": "DM Mathematics" }
331)))*6. -66*sqrt(11) - 6 Simplify (6*((sqrt(51)/(-1*sqrt(3)) - sqrt(17))*-6 - (sqrt(102)/sqrt(24) + sqrt(68) + -2)))**2. 1368*sqrt(17) + 55377 Simplify 1 + (sqrt(156)/(sqrt(12) + sqrt(108)*3)*3)**2*-1. -17/100 Simplify (sqrt(500)*-2)/(sqrt(4) + (sqrt(768)/sqrt(12) - sqrt(4)) - sqrt(4)). -10*sqrt(5)/3 Simplify (sqrt(32)/(sqrt(28)/sqrt(343)))/((sqrt(72) - sqrt(72)*4)/sqrt(2)). -7*sqrt(2)/9 Simplify (((sqrt(143) - sqrt(143)*-2)*5)/(2*sqrt(44)))**2. 2925/16 Simplify (-3 + (1*((-2 + sqrt(363))**2 - sqrt(363)) - sqrt(363) - sqrt(363)))*-3 + -2. -1094 + 231*sqrt(3) Simplify (sqrt(112) - (1*(2 + sqrt(112)) - sqrt(112)))*2 + -3. -7 + 8*sqrt(7) Simplify -1*(sqrt(208) - 4*(0 + sqrt(208)))**2 + -4 + (-2*sqrt(208) - sqrt(208))**2 + 5. 1 Simplify (-2*sqrt(544))/(sqrt(2) + (sqrt(16) + sqrt(80)/sqrt(5))/sqrt(8) + sqrt(2)). -2*sqrt(17) Simplify ((5 + (sqrt(216)/sqrt(9)*-1)/sqrt(8) + 1)*-6)**2. -432*sqrt(3) + 1404 Simplify ((((sqrt(26)/sqrt(2) - sqrt(13)) + 4)**2 - 1*(sqrt(13) - sqrt(13)*2)) + 4)*1. sqrt(13) + 20 Simplify (((sqrt(396) + (sqrt(396) - (-1 + sqrt(396))))*-4)**2 + 1)*5 + -3. 960*sqrt(11) + 31762 Simplify (3 + sqrt(2057) + 3)**2 - (sqrt(1224)*-3 - sqrt(1224))/sqrt(2). 156*sqrt(17) + 2093 Simplify (5*(sqrt(448) + 1) - ((-2*(sqrt(63) - sqrt(252)) - sqrt(63)) + sqrt(63))/sqrt(9))**2. 380*sqrt(7) + 10133 Simplify sqrt(85)/(4*sqrt(15)/sqrt(3)) + -4 + 2 + ((-2*sqrt(102)*-1 - sqrt(102)) + sqrt(102))/sqrt(6). -2 + 9*sqrt(17)/4 Simplify ((sqrt(48)/sqrt(6)*-2)/(1*(sqrt(4) - 1*sqrt(4)) + sqrt(4)))**2. 8 Simplify 4*(sqrt(144) - 4*sqrt(144))/(sqrt(588)*-3). 8*sqrt(3)/7 Simplify 2*(-6*sqrt(117) + -2 - sqrt(117) - (2*sqrt(117)*-3 + sqrt(117)))**2. 48*sqrt(13) + 944 Simplify (sqrt(896) + sqrt(896)*-5)/sqrt(2) - (sqrt(315)/sqrt(5)*-3)/sqrt(9). -29*sqrt(7) Simplify (4*(sqrt(150) + (1*sqrt(150) - sqrt(150))))/(1*sqrt(72)*6). 5*sqrt(3)/9 Simplify (0 + (3 + sqrt(1584)*2 - 5*(0 + sqrt(1584))) + -3)**2 + 5. 14261 Simplify -1*(0 + sqrt(11) + -3 - (-2*sqrt(11) + -2) - (5 + (sqrt(44) + 1)**2)). sqrt(11) + 51 Simplify (2*sqrt(650)*-3)/(sqrt(6)/(sqrt(3) - -2*sqrt(300))). -630*sqrt(13) Simplify (((sqrt(95) + sqrt(95)*-1)*4 + (sqrt(95) + (-4*(-1*sqrt(95) + sqrt(95)) - sqrt(95)) + sqrt(95) - sqrt(95)))/(-1*sqrt(405)*-5 + sqrt(405)))**2. 0 Simplify (1 + 3 + sqrt(684) + -2 + 5)**2. 84*sqrt(19) + 733 Simplify (((sqrt(11) - (-2*sqrt(11) + 2)) + 1*sqrt(44) - sqrt(66)/(-5*(sqrt(6) - (sqrt(6) - sqrt(30)/sqrt(5)))))*-4)**2. -1664*sqrt(11)/5 + 120576/25 Simplify (sqrt(16) + (sqrt(128)*-2)/sqrt(8))/(sqrt(8)*4*3 + sqrt(8)). -sqrt(2)/13 Simplify ((-5*-2*sqrt(78) - (sqrt(78) + ((1*sqrt(78) - sqrt(78)) + sqrt(78))*6))/(sqrt(294) + sqrt(294)*2*1))**2. 13/49 Simplify (0 + (sqrt(2) - sqrt(22)/(-2*sqrt(11)))*-2 + -5)*-6. 18*sqrt(2) + 30 Simplify ((sqrt(136) - 3*sqrt(136))*1)/sqrt(8) - ((sqrt(17) + sqrt(102)/(sqrt(6)*-1 + sqrt(6) + sqrt(6)))**2 + -2). -66 - 2*sqrt(17) Simplify -6*-5*(sqrt(1573)*-2 + (-4 + sqrt(52)/sqrt(4))**2) + 2. -900*sqrt(13) + 872 Simplify (0 + 0 + sqrt(80))*5 + 1*(sqrt(80) + -2)*2. -4 + 28*sqrt(5) Simplify 4 + (sqrt(209)/(sqrt(22)/sqrt(2)))**2 - ((0 + sqrt(76))*-2)**2. -281 Simplify 0 + (-3*2*sqrt(1210)/sqrt(2))**2. 21780 Simplify ((-6*(sqrt(99) + sqrt(99) + sqrt(99)*-1))**2 - (sqrt(99) - 3*sqrt(99)*-1)) + -5. -12*sqrt(11) + 3559 Simplify sqrt(9)/(sqrt(9)/sqrt(3)) + ((sqrt(9)/sqrt(3) + sqrt(3) + 3 - sqrt(3)) + sqrt(3))**2 - (2 + sqrt(3)*-2)*-5. 3*sqrt(3) + 31 Simplify -4*(sqrt(220)/(sqrt(99)/sqrt(9)))/(sqrt(640) + -4*sqrt(640) + sqrt(640))*2. sqrt(2)/2 Simplify (2 + -5 + -6*(sqrt(128) + 0))**2 + 3. 288*sqrt(2) + 4620 Simplify 3 + -4*((1 + sqrt(245))**2 + ((sqrt(135)/sqrt(3) + sqrt(45))/sqrt(9))**2 + -3*(-1*sqrt(605))**2). -56*sqrt(5) + 6199 Simplify 0 + -6*(-2 + ((sqrt(4400)*-2)**2 - sqrt(484)/(sqrt(22)/sqrt(2)))). -105588 + 12*sqrt(11) Simplify ((sqrt(38) + (sqrt(190)*2)/sqrt(5) - sqrt(38))*3)/((sqrt(98) + -1*sqrt(98))*-3 + sqrt(98) + sqrt(98)). 3*sqrt(19)/7 Simplify (((6*sqrt(78)*-2 + sqrt(78) - sqrt(78)) + sqrt(78) + sqrt(78))*-2)/((3*sqrt(288)/sqrt(6))/sqrt(8)). 20*sqrt(13)/3 Simplify -2*(sqrt(980)/sqrt(4) + (-3 + sqrt(20))**2). -58 + 10*sqrt(5) Simplify 4 + sqrt(133)/(sqrt(7)*-3) + sqrt(19) + ((sqrt(152)*-1)/sqrt(8) + sqrt(19) + sqrt(19))**2 + (sqrt(19) + 1 + -3)**2. -10*sqrt(19)/3 + 46 Simplify 2*((0 + sqrt(125))*6 + -2 + 2*sqrt(125) - (5 + -1 + sqrt(125) + sqrt(125) + 3 + sqrt(125) + 1))**2. -1000*sqrt(5) + 6450 Simplify (-4*(sqrt(63) + 3*sqrt(9072) + sqrt(63) - sqrt(63))/(1*(sqrt(9) - sqrt(9)*-4))*3)**2. 1379952/25 Simplify -4 + (sqrt(88) + (sqrt(88) - (sqrt(88) + 1*sqrt(88)*4)))/(sqrt(72)*-6). -4 + sqrt(11)/6 Simplify 4*(sqrt(1216) + -4 + (sqrt(1216) - -3*sqrt(1216)) + -1 + (sqrt(1216) - (sqrt(1216) + 1*sqrt(1216))) + 3)**2. -512*sqrt(19) + 77840 Simplify (-2*(1 + sqrt(320) + -1 + 0 + (2*sqrt(320) - sqrt(320))))**2. 5120 Simplify (-1 + (-5*(sqrt(225)*1 + sqrt(225)))/(sqrt(30)/((sqrt(70)*1)/sqrt(7))))**2. 100*sqrt(3) + 7501 Simplify (-3 + (sqrt(162) + -2*sqrt(162) - sqrt(162)))**2 + -3*sqrt(162) + 1 + -1. 81*sqrt(2) + 657 Simplify 4 + (-2 + (sqrt(1900)*1 + -4 - sqrt(1900)))**2 + 4. 44 Simplify (sqrt(56)/(sqrt(7)*-2))/(-4*sqrt(4)*3). sqrt(2)/24 Simplify (3 + (sqrt(70)*-1*-5)/sqrt(10) + -3 + 5)**2. 50*sqrt(7) + 200 Simplify (((-5 + 1 + sqrt(75) - sqrt(75)) + sqrt(75) + 1 + -5)*4 + 2)**2. -1200*sqrt(3) + 2100 Simplify (-5*(sqrt(12) + sqrt(72)/sqrt(6)))/sqrt(6) - -5*(sqrt(2) + -2 + -5)**2. -80*sqrt(2) + 255 Simplify (sqrt(2736) + -2*sqrt(2736)*-1 + sqrt(2736))**2 + 4 + (-6*2*sqrt(2736))**2*2. 831748 Simplify (-5*(sqrt(20) + (sqrt(20) - sqrt(20)*-3)))/(5*sqrt(256)). -5*sqrt(5)/8 Simplify (-2 + sqrt(17) + 1 + -2*1*sqrt(17))**2 + sqrt(68)*-2*-5. 18 + 22*sqrt(17) Simplify -4 + (sqrt(132)/sqrt(12) + -5 - sqrt(11)) + (sqrt(1584) - (sqrt(1584) + -5)*4 - sqrt(1584))**2 + sqrt(1584). -1908*sqrt(11) + 25735 Simplify -2*sqrt(162)*-3 - (4 + sqrt(162) + 1*sqrt(162) + sqrt(162))**2. -1474 - 162*sqrt(2) Simplify (-3 + sqrt(176) + 0 + sqrt(176) + 0)**2 + 1 + 2*((sqrt(396)*1)**2 + sqrt(396)). -36*sqrt(11) + 1506 Simplify -1*6*(-1 + ((sqrt(130)/(sqrt(20)/sqrt(2) + sqrt(10) - sqrt(10)) - sqrt(13))*2)**2). 6 Simplify (-1 + -1 + (sqrt(1584) + 1)*-6 + 5)**2. 432*sqrt(11) + 57033 Simplify -5*(sqrt(143) - 2*(sqrt(143) + 4*sqrt(143) + sqrt(143)))/(sqrt(1331) - (sqrt(1331) - (sqrt(1331) - (6*sqrt(1331) + sqrt(1331))))). -5*sqrt(13)/6 Simplify -1*sqrt(20)/sqrt(4) + -5*(sqrt(5) + -2) + (sqrt(15)/(6*sqrt(108)))**2. -6*sqrt(5) + 12965/1296 Simplify ((1*3*sqrt(190) - sqrt(190))*-5)/((sqrt(360) - (sqrt(360) + -4*sqrt(360) + sqrt(360)))*-4). 5*sqrt(19)/36 Simplify ((sqrt(304) - (sqrt(304) - (sqrt(304) + (sqrt(304) + -1 + sqrt(304))*-1)))*4 + -5)**2*-4. -19460 - 128*sqrt(19) Simplify (5*2*(-1 + sqrt(1331)))**2 + ((sqrt(1331) - (-2*((sqrt(1331) + -3)**2 - sqrt(1331)) - sqrt(1331))) + sqrt(1331) + sqrt(1331))*-4. -1760*sqrt(11) + 122480 Simplify (2*(4 + sqrt(11)*-3 - (sqrt(66)/sqrt(6)*1 - sqrt(11))))**2. -96*sqrt(11) + 460 Simplify (-1*sqrt(720))**2 + -1 - -1*((sqrt(80) + (sqrt(80) - -1*sqrt(80)))**2 + sqrt(5)). sqrt(5) + 1439 Simplify 4 + ((sqrt(255)/(5*sqrt(15)/sqrt(3)))/(-3*sqrt(27)/(sqrt(9) - ((sqrt(9) - (1*sqrt(9) + sqrt(9))) + sqrt(9)))))**2. 917/225 Simplify (1*sqrt(99)*-4 - (4*sqrt(99)*2 + sqrt(99)))/(sqrt(63)/(sqrt(567)*-1 - sqrt(567))). 234*sqrt(11) Simplify -1*(sqrt(750)/sqrt(6) + (sqrt(5) - (4*sqrt(5)*-1)**2)). -6*sqrt(5) + 80 Simplify (-3*1*sqrt(88)*6)/(1*sqrt(288)*2). -3*sqrt(11)/2 Simplify -3*(3*(-1 + 0 + sqrt(847)*-1 + 4*(0 + sqrt(847))))**2. -205848 + 1782*sqrt(7) Simplify ((sqrt(42) + (sqrt(42) - ((sqrt(42) - (sqrt(42) - sqrt(126)/sqrt(3)))*1 + sqrt(42))))/((sqrt(108)/sqrt(2))/sqrt(9)) - 5*(-1 + sqrt(1008)*-2))**2. 1200*sqrt(7) + 100825 Simplify (-5*-5*sqrt(133) - sqrt(133))/(sqrt(112)/sqrt(4)). 12*sqrt(19) Simplify -3*2*((sqrt(448) - (3*-1*sqrt(448) - sqrt(448))) + sqrt(448) - (sqrt(448) + -4 + (-2*sqrt(448) + sqrt(448) - sqrt(448)) + sqrt(448)))**2. -96864 - 2304*sqrt(7) Simplify 0 + 2 + ((-1*sqrt(33))/sqrt(3) - -2*sqrt(396)) + 2. 4 + 11*sqrt(11) Simplify sqrt(190)/(-5*1*sqrt(10)) - (sqrt(1539) + (sqrt(1539) + (sqrt(1539) + sqrt(1539) + -1)**2 + 1 - sqrt(1539)) + sqrt(1539)). -6158 + 89*sqrt(19)/5 Simplify (5*2*sqrt(156)*-5)/((sqrt(144)*-1 - sqrt(144))/sqrt(12) + sqrt(24)/sqrt(2)*-
{ "pile_set_name": "DM Mathematics" }
t the terms in -3523 - 10*f**2 + 14111 - 3527 - 3541 - 3522. -10*f**2 - 2 Collect the terms in -73*c**2 - 45*c**2 + 6158*c - 6155*c - 7 + 7. -118*c**2 + 3*c Collect the terms in -40021*t**2 - 281478*t**2 + 277*t - 277*t. -321499*t**2 Collect the terms in -5*w + 27150600 + 3*w**2 - 27150600 + 5*w. 3*w**2 Collect the terms in 294724*h**3 + 294727*h**3 + 294731*h**3 - 884221*h**3. -39*h**3 Collect the terms in -86716*d**2 + 45490*d**2 + 43031*d**2. 1805*d**2 Collect the terms in 3*m + 52831 - 10905*m**3 - 3*m - 52831. -10905*m**3 Collect the terms in 91835026*r + 4*r**3 - 91835026*r. 4*r**3 Collect the terms in -1426*l**2 - 2266*l**2 + 650*l**2 - 1313*l**2. -4355*l**2 Collect the terms in -1013*i**2 + 37*i - 17*i - 173*i**3 - 21*i + 1013*i**2. -173*i**3 - i Collect the terms in -1005*h - 846*h + 160*h - 316*h. -2007*h Collect the terms in -13156*l + 42373*l - 12545*l - 12205*l. 4467*l Collect the terms in 7813*w - 2 + 7801*w - 15664*w. -50*w - 2 Collect the terms in 692*c - 94*c**2 + 328*c**2 + 180*c**2 - 1370*c + 678*c. 414*c**2 Collect the terms in -5*w**2 - 219694*w**3 + 55256*w**3 + 5*w**2. -164438*w**3 Collect the terms in -21 - 319403*s + 65 - 19 - 25. -319403*s Collect the terms in -77*t**2 - 109*t**2 - 3 + 95*t**2 + 3. -91*t**2 Collect the terms in -4*z + 2704 + 3*z - 920 - 862 - 922 + 0*z. -z Collect the terms in -5 + 2273*k + 5833*k - 2. 8106*k - 7 Collect the terms in 26*m**3 + 10*m - 7*m**2 + 30*m**3 - 17*m**3 + 8*m**2 - 357. 39*m**3 + m**2 + 10*m - 357 Collect the terms in -4 + 233210*v + 31285*v + 4. 264495*v Collect the terms in -2*x**2 - 1127*x**3 + 1593*x**3 + x**2 + 3*x**2 - 5710*x**3. -5244*x**3 + 2*x**2 Collect the terms in 15955*b**2 + 15994*b**2 + 15988*b**2 + 15976*b**2 - 63891*b**2. 22*b**2 Collect the terms in 2668*x**3 + 78*x**2 + 551*x**3 - 287*x**2. 3219*x**3 - 209*x**2 Collect the terms in -43151*c**2 + 73824*c**2 + 277713*c**2 - 23769*c**2. 284617*c**2 Collect the terms in -2612 - 9813*k + 2612. -9813*k Collect the terms in 788467 + 16207*p - 16240*p - 788467. -33*p Collect the terms in -101839*j + 101839*j + 9154*j**3 + 4983*j**3. 14137*j**3 Collect the terms in 41*h + 1045*h + 2545*h + 285*h + 1922*h + 737*h. 6575*h Collect the terms in -5 - 3 - 28657284*y + 28657273*y. -11*y - 8 Collect the terms in 2611288*g**2 + 1119065*g**2 - 70882*g**2. 3659471*g**2 Collect the terms in -2*y + 12998 - 2*y**3 - 12998 + 10761*y**2 - 1698*y**2. -2*y**3 + 9063*y**2 - 2*y Collect the terms in 4248 + 237*p - 1985 + 264*p + 92*p - 2264. 593*p - 1 Collect the terms in -62288 - 62286 + 2*t + 124597. 2*t + 23 Collect the terms in 2071 + 2368 - 182*n**3 + 2070 - 8577 + 2068. -182*n**3 Collect the terms in -4041 + 1029 + v - 2747. v - 5759 Collect the terms in -651*t - 751*t - 666*t + 2074*t. 6*t Collect the terms in -4 + 4 - 1489601*b + 744797*b + 744799*b. -5*b Collect the terms in -12*s + 287*s**2 + 12*s - 263*s**2 - 31*s**2. -7*s**2 Collect the terms in -20*u + 18*u + 275597*u**2 - 275765*u**2. -168*u**2 - 2*u Collect the terms in 2964 + 27*t**2 + 2935 - 5934. 27*t**2 - 35 Collect the terms in -542 + 2394*n + 1069 - 527. 2394*n Collect the terms in 1514*y**2 + 683*y**2 + 2107*y**2 - 630*y**2. 3674*y**2 Collect the terms in 94*d**3 + 83*d**3 + 107*d**3 - 254*d**3 + 95*d**3 - 131*d**3. -6*d**3 Collect the terms in -2*u + u + 2318 - 2163. -u + 155 Collect the terms in 94617 + 506*j**2 - 157*j**2 - 94617. 349*j**2 Collect the terms in 350*t - 1403*t + 1057*t - 16. 4*t - 16 Collect the terms in -3337 + 1646 + 1691 - 806*z**3. -806*z**3 Collect the terms in -1174*h**2 + 891*h**2 + 237*h**2. -46*h**2 Collect the terms in 2*f - 900*f**2 - 3*f + 460 - 914 + 452 + 228*f**2. -672*f**2 - f - 2 Collect the terms in -r**2 - 3858*r + 1114*r + 2744*r - 1. -r**2 - 1 Collect the terms in 27260*q - 52181*q + 29157*q. 4236*q Collect the terms in 3*x + 11*x**3 + x - 73*x**3 + 273 - 4*x. -62*x**3 + 273 Collect the terms in -248295*f**3 + 494011*f**3 - 245703*f**3. 13*f**3 Collect the terms in 1 - 4 + 3 - 24045*d - 24179*d + 48110*d. -114*d Collect the terms in -39*k**3 - 25*k**3 - 46*k**3 + 32*k**3 - 47*k**3 + 21*k**3. -104*k**3 Collect the terms in 425*s**3 + 2*s**2 + 2*s - 113*s**3 + 378*s**3 - 4 + 442*s**3. 1132*s**3 + 2*s**2 + 2*s - 4 Collect the terms in 670520*o - 335182*o - 335335*o. 3*o Collect the terms in 239*n + 256*n**2 + 24 - 32*n + 15*n. 256*n**2 + 222*n + 24 Collect the terms in 54754422*u - 3*u**3 - 85*u**3 - 54754422*u. -88*u**3 Collect the terms in 137289523 - 9320*y + 2804*y - 137289523. -6516*y Collect the terms in 5*l + 14646 - 7429 - 7216. 5*l + 1 Collect the terms in -5756*k**2 - 4278*k**2 - 4941*k**2 + 16560*k**2 - 3847*k**2. -2262*k**2 Collect the terms in -508*q**2 + 2*q + 2 + q - 725*q**2 + 249*q**2. -984*q**2 + 3*q + 2 Collect the terms in 17516 - n**3 - 20421*n**2 + 20421*n**2 + 3*n**3. 2*n**3 + 17516 Collect the terms in -311*y**3 - 275*y**3 + 603*y**3 + 2 - 259*y**3. -242*y**3 + 2 Collect the terms in -2*c**2 - 1163*c**3 + 541*c**3 + 2*c**2 + 300*c**3. -322*c**3 Collect the terms in 0*o**2 + 13908 + 1236 - o**2. -o**2 + 15144 Collect the terms in -63766*v**3 - 36791*v**3 - 38164*v**3. -138721*v**3 Collect the terms in -443620*q + 221898*q + 221828*q. 106*q Collect the terms in -15*g + 40099405 - 40099405. -15*g Collect the terms in 142 - 262*z - 389 + 122 + 124. -262*z - 1 Collect the terms in -36815908*b**2 - 36815913*b**2 + 73631826*b**2. 5*b**2 Collect the terms in 40817*d - 81739*d + 40770*d. -152*d Collect the terms in -3117053*i - 14224290*i - 29132896*i. -46474239*i Collect the terms in -66778*s**3 + 2*s**2 - 58084*s**3 + 115 - 115. -124862*s**3 + 2*s**2 Collect the terms in -50379*a - 10 - 4 + 50361*a + 3. -18*a - 11 Collect the terms in -3*i**3 + 19797 + 2*i**3 - 59311 + 19777 - 2*i**3 + 19737. -3*i**3 Collect the terms in -5 - 13 - 699*x - 802*x + 18 + 1496*x. -5*x Collect the terms in -9762*t**2 - 9853*t**2 - 2186*t**2. -21801*t**2 Collect the terms in -4155*u - 9396*u - 10740*u + 4182*u. -20109*u Collect the terms in -1925470*f + 3 - 3. -1925470*f Collect the terms in -5*w - 29538 - 2*w**2 + 14*w + 59073 - 29535. -2*w**2 + 9*w Collect the terms in -882*p - 882*p + 4345*p - 879*p - 851*p - 850*p. p Collect the terms in 2380 + 2478 - 7391 - 2*l + 2529. -2*l - 4 Collect the terms in 58133*o + 1756218*o + 1137778*o + 536325*o. 3488454*o Collect the terms in -20566*s**3 + 20527*s**3 + 0 - 4 + 2. -39*s**3 - 2 Collect the terms in -335*q**3 + 43*q**3 + 44*q**3 + 305*q**3 - 51*q**3. 6*q**3 Collect the terms in -9*u**3 + 219*u - 450*u - 299*u**2 + 231*u - 2*u**3. -11*u**3 - 299*u**2 Collect the terms in -688*u**3 - 747*u**3 + 1419*u**3 + 11403*u**2 - 11403*u**2. -16*u**3 Collect the terms in -31*t - 71 + 211 + 44*t - 96 - 92. 13*t - 48 Collect the terms in 29*j**2 + 10*j**2 - 54347*j**3 + 54368*j**3. 21*j**3 + 39*j**2 Collect the terms in 58 + 7013*y**3 + 76 - 14041*y**3 - 211 + 77 + 7030*y**3. 2*y**3 Collect the terms in -386392*l + 193179*l + 193308*l. 95*l Collect the terms in -49*w + 22*w + 27*w - 60*w - 104*w. -164*w Collect the terms in -94540435 - 2*z**3 + 4*z**3 + 94538788. 2*z**3 - 1647 Collect the terms in -2*d + 96575 + 0*d**2 - 48268 + 2*d + 2*d**2 - 48289. 2*d**2 + 18 Collect the terms in -55250 + 51*z + 27633 + 27625. 51*z + 8 Collect the terms in 181821637163 - f - 181821637163. -f Collect the terms in 10037*j**2 - 19528*j**2 + 3 + 7 + 10309*j**2. 818*j**2 + 10 Collect the terms in -1231*j - 1053*j - 579*j**3 + 3191*j + 577*j**3. -2*j**3 + 907*j Collect the terms in 178 + 79 - 24 - 78 + u**2. u**2 + 155 Collect the terms in -11781*r - 2105*r - 3203*r - 8342*r - 2447*r. -27878*r Collect the terms in -2827832 + 2827832 - 12*w**3 + 4*w**2. -12*w**3 + 4*w**2 Collect the terms in 836685 - g + 21*g + 14*g - 25*g - 836685. 9*g Collect the terms in 1516 - 1516 - 3*z - 3724*z**3. -3724*z**3 - 3*z Collect the terms in -261300416296*f**3 + f**2 + 261300416298*f**3 - f**2. 2*f**3 Collect the terms in -22*y**3 - 161 + 9*y**3 + 14*y**3 - 21 - 24 + 206. y**3 Collect the terms in 124 - 57 - 48 + 86 - 53 - 45*d**2 - 52. -45*d**2 Collect the terms in -72 - 106*b**2 + 490*b + 72. -106*b**2 + 490*b Collect the terms in 6335*p - 2115*p - 2115*p - 33 - 2107*p. -2*p - 33 Collect the terms in -44715*m + 4189*m - 9637*m + 1629*
{ "pile_set_name": "DM Mathematics" }
Calculate the lowest common multiple of i(p) and 10. 10 Let b(f) = 12*f**2 + 8*f - 4. Let h be b(-3). Let o = h - 30. Calculate the least common multiple of 12 and o. 300 What is the lowest common multiple of 201 and 122/4 - (75/(-10) - -8)? 2010 Suppose -3*m + 18*m - 450 = 0. Calculate the least common multiple of 36 and m. 180 Suppose -2*t + 44 = -4*n, -7*n + 55 = 5*t - 6*n. What is the lowest common multiple of 4 and 27*(6/9)/(t/6)? 36 Calculate the common denominator of 79/66 and 5*34/(-154) - -1. 462 Let l = 21 - 21. Let f = -6 - l. Calculate the least common multiple of (-3)/f - 2/(-4) and 6. 6 What is the common denominator of 33633/2516 + 2/(-17) and (-2)/(-1 - 57/(-29))? 28 Let u be ((-11740)/(-1632) - -3) + (-3)/1. Let v = -124/51 - u. Find the common denominator of v and 35/22. 88 Let m(u) = -u**3 + 5*u**2 - 10*u + 14. Calculate the smallest common multiple of m(3) and 18. 18 Suppose -g - 8 = 3*g. Let z = 533/3 + -741/4. What is the common denominator of (1 - (-428)/160) + g and z? 120 Let j be (-102)/5 - (-6)/15. Let c = j + 28. Suppose -3*w - 6*n = -n - 25, 4*w - 12 = 4*n. What is the smallest common multiple of c and w? 40 Suppose -14 = -h - 2*r, 1 + 20 = 3*h - r. Let y = 52 - h. What is the lowest common multiple of 2 and y? 44 What is the least common multiple of 552 and (-4626)/(-105) + (-78)/1365? 6072 Let c = -9/41758 + 220367446/187911. Suppose g - q = -0*q + 1172, 4*g = -3*q + 4716. Let t = g - c. Calculate the common denominator of 1/4 and t. 36 Suppose 18 = -10*i - 72. Let h = 36 - i. Calculate the smallest common multiple of h and 3. 45 Let l(v) = 8*v + 6. Let r be l(-12). What is the common denominator of -25/18 and (-695)/r + -2 - -2? 18 Calculate the common denominator of -49/18 and (-127)/7*((-118)/(-12) - 11). 18 Let y be (-16)/24 + 107/3. Find the common denominator of 14/y - 48/(-10) and 27/11. 55 Let z(u) = 121*u**2 - 2*u + 1. Let o be z(1). Suppose o - 10 = 5*m. What is the smallest common multiple of 20/6*(-36)/(-10) and m? 132 Let y be (18/(-135))/((8/(-562))/(-2)). Let j = -7/5 - y. What is the common denominator of 10/21 and j? 21 Suppose 0 = 3*h - 2*h - 4. Let n(k) = -k**3 - 13*k**2 + k + 11. Let c be n(-13). Calculate the lowest common multiple of 1/(2 - c - 3) and h. 4 Let o = -133467/10 - -13338. Let r be 1 - 4 - (-1 - 1). Calculate the common denominator of o and r*(74/11)/(-2). 110 Suppose w - 4 + 11 = 0. Calculate the common denominator of 71/27 and w/(-28) + 127*1/132. 297 What is the common denominator of -8/349 and 18 + (-2295)/75 + (-1 - -1)? 1745 Let b be 1/((-6)/4)*57228/56. Let w = b - -679. Calculate the common denominator of w and -101/2. 14 Let l(p) = -23*p - 1. Suppose -3*k - 7 = 4*j, 4*k = 5*j - 1 + 2. Calculate the least common multiple of 10 and l(k). 110 Let b = -22 + 24. Let s be -4 + -2 + b + -1. Calculate the common denominator of (-86)/24 + (-2 - s) and 77/10. 60 What is the common denominator of 66/24 + -5 - 14/(-7) and -27/4? 4 Suppose -3*i - 2*i - 2*u = -37, 0 = -2*i - u + 15. Let k(q) = q**2 - 5*q + 6. Calculate the least common multiple of 16 and k(i). 80 Let g be 2/3 - 1190/(-15). What is the common denominator of ((-94)/18 - -5)*(-942)/g and -17/16? 240 Let s = -826 + 842. What is the least common multiple of 24 and s? 48 Suppose 5*a - 3*a = 1312. Let j = a - 2008/3. Calculate the common denominator of j and -50. 3 Let z = 4 - -10. Let t = z - 12. Find the common denominator of -101/2 and (12/(-240))/(t/86). 20 Suppose -5*h - 2*t = 14 - 3, -5*t - 2 = 4*h. Let p be (-4)/3*(270/(-4))/9. Let v = h + p. What is the lowest common multiple of v and 6? 42 Calculate the lowest common multiple of 20/(-14)*651/(-93) and 56. 280 Suppose 0 = 9*c + 5*c - 700. Calculate the smallest common multiple of 70 and c. 350 What is the common denominator of 133/60 and (-3 - 42/(-10))/((-64)/145)? 480 Let i = 1957/44 - 382/11. Find the common denominator of (-32)/6 + (-6)/(-2) and i. 12 Let q(o) = 2*o - 13. Let f = 15 + -1. Calculate the least common multiple of 3 and q(f). 15 Let m(g) = 2*g**3 + 33*g**2 + 13*g + 12. What is the smallest common multiple of m(-16) and 70? 420 Let z(k) = 1292*k - 3860. What is the least common multiple of (-2)/(-3) + (-706)/(-3) and z(3)? 944 Let j = 13281/37 - 33/74. Let c = j - 326. Find the common denominator of 89/12 and c. 12 Find the common denominator of (-148)/(-90) + (-2)/5 and -3 + (1 - -1 - 1112/96). 180 Suppose -2*a + 12 = 3*b, 4*b + 18 = 5*b - 4*a. What is the least common multiple of 4 and (0 + (-2 - -5))/(b/2)? 4 Let a = 1552/655 - 59917/24104. Calculate the common denominator of a and -85/2. 920 What is the common denominator of -1/56 and -5*1 - -10*24/(-800)? 280 Let r = 98317/14748 + 1/4916. Let x = 8387/2142 - 23/119. Calculate the common denominator of r and x. 18 Let o be 344/(-12) + (-10)/(-15). Calculate the least common multiple of 1 and (5/(10/o))/(-2). 7 Let k(b) = 2*b + 50. Calculate the least common multiple of k(-17) and 6. 48 Let v be 2/(-8) - 13/(-4). Calculate the lowest common multiple of 1/(183/60 - v) and 1/(-3) - (-39)/9. 20 Let k = -46 + 48. What is the common denominator of 1/10*(-115 + k) and ((-8)/5 - 1) + 0? 10 Let x be (1 - (-13347)/52)*(-11)/7557. Let n = 3/916 + x. What is the common denominator of n and 29/6? 78 What is the common denominator of 0 - 81/15 - -1 and (-22)/231 - 5837/4641? 85 Let n = -6/1645 + 116903/29610. Find the common denominator of n and 43/273. 1638 Let l = 793 + -783. Calculate the smallest common multiple of 23 and l. 230 Suppose -3*h = -0*h - 99. Let i = 37 - h. Find the common denominator of -71/6 and (i/10)/(4/7). 30 What is the common denominator of 53/105 and (3/54)/(14/(-512)) + 2? 315 Let d = 170/9 - 925/18. Find the common denominator of d and -59/2. 2 Let w(z) = -99*z**2 + 4*z + 10. Let k be w(7). Let m = -15110 - k. Let t = m + 164849/16. Calculate the common denominator of 67/4 and t. 16 Let a be ((-22)/10 + 3/1)*60. Find the common denominator of ((-15)/a)/((-84)/(-368)) and -95/4. 84 Let r be (22/3)/((-4)/(-6)). Suppose 2*i - 5 = r. What is the smallest common multiple of (0 - -66)*1/3 and i? 88 Suppose 2*p - 2*l - 48 = 80, -4*p + 240 = 4*l. Find the common denominator of (-6)/(-34)*p/6 and 42/(-35)*60/(-32). 68 Let n = -16305 + 33455. Let x = 308575/18 - n. What is the common denominator of (-17)/(-16) - (6 - 10 - -3) and x? 144 Let t(m) = -7*m + 2. Suppose 0*i - 4*i = 3*l + 28, 2*i + 4 = l. Let k = -1502/5 - -310. Calculate the common denominator of t(l) and k. 5 Let l = 1522 + -59351/39. Calculate the common denominator of -17/57 and l. 741 Let o(p) = 84*p**2 + 4*p - 5. Let h be o(1). Suppose -88*n = -h*n - 90. What is the lowest common multiple of 10 and n? 90 Let z = -68 - -100. What is the common denominator of 2 - (0 + 30/16) and (-357)/36 - 8/z? 24 Suppose -540 = -8*a - 100. Calculate the least common multiple of 15 and a. 165 Suppose -4*s + 7*s + 248 = 5*y, y = -2*s + 60. Let z = y - 40. Calculate the least common multiple of 2 and z. 12 Let l = 11 + -12. What is the smallest common multiple of (l/(-3))/((-10)/(-750)) and 5? 25 Suppose 4*n = -4*q - 3 + 15, 0 = 2*q + n - 2. Calculate the smallest common multiple of (q - 13/(-5))/(7/70) and (2 - 4)/(2/(-26)). 208 Suppose -2*z + 1347 = z. Let l be -2 - (-1)/(-14)*z. Let h = -289/7 - l. Calculate the common denominator of -117/14 and h. 14 Calculate the common denominator of 34/49 and (81/(-3402))/(2/19). 588 Let a = 1032999447/902 + -1145232. Let d = a + -163/41. Find the common denominator of 75/8 and d. 88 Calculate the least common multiple of 195 and 5/(-10) - (77/(-2) + -2). 1560 Suppose 2*j = -v - 3*v + 78, -3*v + 136 = 4*j. Let r = 63 - j. What is the smallest common multiple of r and 22? 352 Let c(o) = o**2 - 6*o + 7. Let g be c(5). Suppose 0 = -7*x + g*x + 50. What is the lowest common multiple of x and 2? 10 Let k be -2935 + 22 + (1 - -3). Let j = k + 17497/6. What is the common denominator of -115/18 and j? 18 Let v = 345/28 - 75/4. Find the common denominator of -6/49 and v. 49 Let i(p) = p**2 - 6*p + 1. Let a be i(6). Let k = -6425 - -89913/14. Find the common denominator of (3 - a) + (-37)/16 and k. 112 Let f(o) = 3*o**3 + 2*o**2 - 33*o + 20. Calculate the least common multiple of 180 and f(5). 2520 What is the c
{ "pile_set_name": "DM Mathematics" }
ssuming y is positive. y**(56/5) Simplify u**(-10/9)*u/(u*u*u*u**4*u) assuming u is positive. u**(-73/9) Simplify ((w**2)**(1/4))**40 assuming w is positive. w**20 Simplify (q**0)**(-17/4)/(q**(-3/2)/(q*q**(5/4))) assuming q is positive. q**(15/4) Simplify (r/(r/r**(-1)))/(r/((r**(-4)*r)/r*r))*(r**(1/4)/r*r)**(-2/49) assuming r is positive. r**(-491/98) Simplify l**2*l**(1/8)*((l*l*l*l/(l*l/l**(2/3))*l*l)/l)**42 assuming l is positive. l**(1249/8) Simplify ((d*d*(d*d**3)/d)/d*d)/(d*d/(d**(25/4)*d)) assuming d is positive. d**(41/4) Simplify (w**(-5))**18 assuming w is positive. w**(-90) Simplify (w/((w*w**3)/w)*w)**(4/15) assuming w is positive. w**(-4/15) Simplify (z**(5/4))**(-21) assuming z is positive. z**(-105/4) Simplify ((w*w/(w**8/w))**30)**(-38) assuming w is positive. w**5700 Simplify (v**0)**9*(v/(v**(-1/2)/v)*v)**25 assuming v is positive. v**(175/2) Simplify ((p/p**(2/13))/p*p*p/(p/p**(-4)))**(-1/8) assuming p is positive. p**(41/104) Simplify ((b/b**(-4/7))/b)/(b*b/b**(15/2)) assuming b is positive. b**(85/14) Simplify (w**(-4)*w/(w**6/w))/(w**(2/3)*w**(-1)/w) assuming w is positive. w**(-20/3) Simplify (y**(7/2))**(-38) assuming y is positive. y**(-133) Simplify x*((x/x**8)/x)/x*x*x*x*x**(-2/31) assuming x is positive. x**(-157/31) Simplify ((o*(o*o*o**(2/29)*o)/o*o)/o)/(o/(o*o*o*o*o**(3/4)*o*o)) assuming o is positive. o**(1023/116) Simplify (j*j*j/(j*j/j**(-20)))/j*j*j**19*j assuming j is positive. j Simplify (q/((q**(-1)/q)/q*q*q))**48*(q**2)**(-14/9) assuming q is positive. q**(836/9) Simplify (u/u**2*u)**(-7/6) assuming u is positive. 1 Simplify (a**(-1/4)*a**0)/((a/((a**2*a)/a*a))/((a**2*a)/a)) assuming a is positive. a**(15/4) Simplify (o**(-1/4))**(-3/5)*(o/o**(-1))**49 assuming o is positive. o**(1963/20) Simplify (i*i**25*i*i*i)/i*i**(-1/3) assuming i is positive. i**(83/3) Simplify ((k**6*k)**17)**(7/10) assuming k is positive. k**(833/10) Simplify j/(j/j**(14/3))*j*j**(-17)/j assuming j is positive. j**(-37/3) Simplify l**(1/8)/l**1*((l*l**(-1))/l)/l**(-2/19) assuming l is positive. l**(-269/152) Simplify (c**4*c)/(c**(-21)*c) assuming c is positive. c**25 Simplify d**13/(((d/(d**(2/35)/d))/d)/d) assuming d is positive. d**(457/35) Simplify ((t/((t*t*t**(1/2)*t)/t))/t)**(-1)/(t**(2/13)*t**(-3/7)*t) assuming t is positive. t**(323/182) Simplify x**1*(x*x*x**(2/5))/x*x/(x**5/x)*x**(-3/7) assuming x is positive. x**(-36/35) Simplify (t**2)**(-18)*t*t**(2/17)*t/(t*t/((t*t**(-3/4))/t)*t) assuming t is positive. t**(-2559/68) Simplify (b**(-4)/b**(7/6))/(b*b**(-1/2)*b**(-7)/b) assuming b is positive. b**(7/3) Simplify (z/z**6*z**5)/(z**(1/5)*z*z/z**(-9)) assuming z is positive. z**(-56/5) Simplify w**(2/9)*w*w**(5/4) assuming w is positive. w**(89/36) Simplify y*(y**4/y)/y*y*y*y*((y**(-1/8)*y*y)/y)/y*(y**(1/4))**1 assuming y is positive. y**(49/8) Simplify (c*c**0/c*c*c)**9*(c**(1/3))**(-32) assuming c is positive. c**(22/3) Simplify (s/(s**29/s))**21 assuming s is positive. s**(-567) Simplify (m**2)**(-42)/(m**(-2)/m)**12 assuming m is positive. m**(-48) Simplify l**(-15)/l*l*l**(-27) assuming l is positive. l**(-42) Simplify (b**4*b**(2/13)/b)/((b**0*b)/(b*b**0/b)) assuming b is positive. b**(28/13) Simplify ((v/(v**(-3/8)/v))/(v**(-7)*v))**(-42) assuming v is positive. v**(-1407/4) Simplify s/s**(-1/10)*s*s**(10/7) assuming s is positive. s**(247/70) Simplify ((k*k**(1/9))/k**(-4))/(k/((k*k*k**(3/2)*k)/k)*k/(k/(k**(-1)/k)*k)) assuming k is positive. k**(191/18) Simplify ((y*(y/y**1)/y)**(2/33))**(-19/4) assuming y is positive. 1 Simplify (((n*n**(-12))/n*n)/n)/n*n/((n/(n**27/n))/n) assuming n is positive. n**14 Simplify ((q*q/q**(-3))/q**1)**(-4/21) assuming q is positive. q**(-16/21) Simplify (f/(f/(f*f**2)))/f*f**(-1/2)*(f**(2/9))**(2/11) assuming f is positive. f**(305/198) Simplify s/(s/(s*s/s**3*s))*s*(s**(1/12)*s)/s assuming s is positive. s**(13/12) Simplify w*w**1*w*w/(w*w*((w*w*w**(2/3))/w)/w*w*w)*w**(-1/2)*w*w**(1/5) assuming w is positive. w**(1/30) Simplify (k**(-5)*k*k/k**(-3/4)*k)/(k/(k**(-2)*k))**(10/3) assuming k is positive. k**(-95/12) Simplify z**(-3/2)/z**(1/11) assuming z is positive. z**(-35/22) Simplify y**(1/21)*y**(-4/11) assuming y is positive. y**(-73/231) Simplify z/(z*z*(z/(z/(z/(z*z*z*z**6/z*z*z*z)*z)))/z*z)*(z/(z/((z**1*z*z)/z)))/z*z assuming z is positive. z**10 Simplify ((i*i**10*i*i)/i**0)/((i**(-10/7)*i)/(i/i**(-1/3)*i*i)) assuming i is positive. i**(352/21) Simplify (a**(-1/11))**(27/4) assuming a is positive. a**(-27/44) Simplify (w*w/w**(-15))/((w*(w*w/w**(-2/15))/w)/w) assuming w is positive. w**(238/15) Simplify w**(5/6)/(w*(w/w**(-2))/w)*w/w**(-3/4)*w*w**6*w assuming w is positive. w**(91/12) Simplify j**(-2/9)/(j*j/(((j*j*j*j**(-5)*j)/j)/j))*(j/j**0)**38 assuming j is positive. j**(295/9) Simplify ((z**(1/3))**(-1/22))**17 assuming z is positive. z**(-17/66) Simplify (z**(-7)*z)**19 assuming z is positive. z**(-114) Simplify (i/(i*i/(i/(i/(i**(-1/5)*i)*i))*i))/(i**0/i) assuming i is positive. i**(-6/5) Simplify (d*d/(d/((d/(d*(d/d**(-2))/d*d))/d))*d)**(-3/35)*d*d**(2/7)*d/d**(-3/4)*d assuming d is positive. d**(589/140) Simplify ((c*c**(-1/4))/c)**(-26)*(c**0)**(-40) assuming c is positive. c**(13/2) Simplify (v*v**(-2/17)*v*v**(-3/8)/v)**(-30) assuming v is positive. v**(-1035/68) Simplify ((k**14/k)/k)**(2/25) assuming k is positive. k**(24/25) Simplify ((r**(3/4)*r)/(r**5*r*r))/(r**0)**(11/3) assuming r is positive. r**(-21/4) Simplify (q**(2/17)/q*q*q**9)/(q**0)**6 assuming q is positive. q**(155/17) Simplify (x/(x/(x*x*x/((x**(-6)/x)/x)))*x*x**5)**(-2/37) assuming x is positive. x**(-34/37) Simplify (k*k**(2/5))**(-1/12)/(k**(-1/5)*k*k/(k*k/(k*k*k**(-7)))) assuming k is positive. k**(61/12) Simplify (q/(q/(q*q*q/q**3)))**21 assuming q is positive. 1 Simplify (f**(-2))**(-6/7)/(f**(-2/5)/f)**(15/4) assuming f is positive. f**(195/28) Simplify (i**6)**(-2/19) assuming i is positive. i**(-12/19) Simplify k**16*k*k**8 assuming k is positive. k**25 Simplify w**(-1/2)/(w**0*w)*w/((w*w**(-2/9))/w)*w/(w*w/w**(-3/8)*w*w) assuming w is positive. w**(-263/72) Simplify ((w/(w/(w/w**11))*w)/(w/w**(-1/3)*w))**49 assuming w is positive. w**(-1666/3) Simplify (q**(-1/10)*q*q/(q/q**(-1/4)))/((q**(1/5)*q)/q**(-1/9)) assuming q is positive. q**(-119/180) Simplify (k/k**5*k**(-3))/((k/(k/(k**(1/5)*k)))/k*k*k/k**(-1/4)*k) assuming k is positive. k**(-209/20) Simplify (d**4/d)/(d/((d/((d**(-2)/d*d)/d*d))/d))*(d**(-2/5))**(1/57) assuming d is positive. d**(1138/285) Simplify n*n**(-6)*(n/(n**3*n)*n)/n*(n**0)**(-7) assuming n is positive. n**(-8) Simplify (y**(1/5)*y*y*y**(-1)*y)/((y**3*y)/(y*y/(y/(y/(y/y**(-2))))*y*y*y)) assuming y is positive. y**(1/5) Simplify ((j**(-2/3)/j)/(j/j**(4/7)))**(-2/71) assuming j is positive. j**(88/1491) Simplify (s/(s**(-2/7)*s*s))/(((s/s**(-6/13))/s)/s)*(s*s/s**(1/3))/(s**(-4)/s) assuming s is positive. s**(1772/273) Simplify (a**(-9)/a**(2/13))**(12/13) assuming a is positive. a**(-1428/169) Simplify ((k*k*k/k**(-2/19)*k)/((((k/(k/(k/(k**5/k)))*k)/k)/k)/k))/(k**(-1/4))**10 assuming k is positive. k**(441/38) Simplify q/(q**29*q*q*q)*q**(-20)*q assuming q is positive. q**(-50) Simplify (o*o*o**(-4/3))**17 assuming o is positive. o**(34/3) Simplify ((n*n**(1/2)*n*n)/(n**(-6)/n))**(2/15) assuming n is positive. n**(7/5) Simplify ((h/((h*h**8)/h))/(h**(-3/4)*h))/((h*h**(5/3)*h)/(h/((h*h**(-3/5)*h)/h))) assuming h is positive. h**(-619/60) Simplify t**3*t/(t/t**(1/3))*t*(t**(1/2)*t)**26 assuming t is positive. t**(130/3) Simplify c*c/(c/c**(4/7)*c)*c*c*c**5*(c*(c/(c**3*c))/c*c)/c**(5/3) assuming c is positive. c**(82/21) Simplify (x*x**(-6)*x)**(-34) assuming x is positive. x**136 Simplify (u*u**(-1/11)*u)/(u**(-18)*u) assuming u is positive. u**(208/11) Simplify (l**(-6))**(2/5) assuming l is positive. l**(-12/5) Simplify (v**(-23/4)/v)**(2/77) assuming v is positive. v**(-27/154) Simplify (s/((s*((s**0/s)/s)/s*s*s)/s))**(-2/89)/((s*(s**(-1)/s)/s)/s**(-5)) assuming s is positive. s**(-271/89) Simplify q**(-2/41)*q**(-14)/q assuming q is positive. q**(-617/41) Simplify (z**(-1)/z)**22*z**(-4)*((((z**(-3/2)/z)/z*z)/z*z)/z)/z assuming z is positive. z**(-105/2) Simplify ((n**(2/11)*n)/(n*n/(n**(3/17)*n)))**(-3/8) assuming n is positive. n**(-201/1496) Simplify ((h
{ "pile_set_name": "DM Mathematics" }
hout replacement from adlkwlak. Give prob of picking 1 l, 1 d, and 2 k. 1/35 What is prob of picking 1 q and 1 u when two letters picked without replacement from eorunqqo? 1/14 Three letters picked without replacement from {q: 1, i: 1, a: 1, m: 1, t: 2, j: 1}. Give prob of picking 1 j, 1 i, and 1 t. 2/35 What is prob of picking 3 i when three letters picked without replacement from iiqiifiiifiq? 14/55 What is prob of picking 1 o and 1 u when two letters picked without replacement from robuou? 4/15 Calculate prob of picking 1 q, 1 k, and 1 h when three letters picked without replacement from {c: 2, k: 2, h: 1, v: 1, y: 1, q: 1}. 1/28 Calculate prob of picking 2 i when two letters picked without replacement from {l: 15, i: 5}. 1/19 What is prob of picking 1 r and 1 b when two letters picked without replacement from efbbfrbbabf? 1/11 Two letters picked without replacement from {k: 2, z: 1, b: 2, u: 3, i: 3, d: 3}. Give prob of picking 1 i and 1 z. 3/91 Two letters picked without replacement from tpszpz. Give prob of picking 1 s and 1 z. 2/15 What is prob of picking 2 p when two letters picked without replacement from {z: 1, p: 3}? 1/2 Three letters picked without replacement from hzzzzehlhehhhzxx. What is prob of picking 1 x and 2 h? 3/56 Two letters picked without replacement from {s: 4, w: 3, t: 7}. What is prob of picking 1 t and 1 w? 3/13 Four letters picked without replacement from vxxxxvvxxvvzxzvxvzx. What is prob of picking 4 x? 21/646 Two letters picked without replacement from muumuuuuuiummi. What is prob of picking 2 m? 6/91 Calculate prob of picking 1 y and 3 l when four letters picked without replacement from yllylylyly. 5/21 Calculate prob of picking 2 w when two letters picked without replacement from hhhhhhww. 1/28 Three letters picked without replacement from mzdmjmukuududkm. What is prob of picking 2 d and 1 u? 12/455 Two letters picked without replacement from {r: 1, n: 1, b: 2, y: 1, k: 4}. What is prob of picking 1 k and 1 r? 1/9 Two letters picked without replacement from {i: 15, w: 3}. What is prob of picking 1 w and 1 i? 5/17 Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {s: 2, n: 1, i: 1, h: 1}. 1/5 Four letters picked without replacement from {h: 12, q: 7}. Give prob of picking 4 q. 35/3876 What is prob of picking 1 g, 1 x, and 2 j when four letters picked without replacement from yyxujjxyjyxyxyuygfjg? 16/1615 Three letters picked without replacement from {f: 2, g: 3, s: 2, w: 2, k: 6}. Give prob of picking 1 s, 1 k, and 1 g. 36/455 Three letters picked without replacement from {d: 3, w: 2, u: 3, m: 6, c: 2, z: 2}. What is prob of picking 2 d and 1 c? 1/136 Three letters picked without replacement from {i: 11, q: 2, g: 1, o: 2}. What is prob of picking 2 q and 1 o? 1/280 Three letters picked without replacement from jkvzmff. What is prob of picking 1 j, 1 f, and 1 z? 2/35 What is prob of picking 2 w and 2 j when four letters picked without replacement from bbbbbjwbbwjbbjjbbjb? 5/1938 What is prob of picking 1 a, 1 o, and 1 x when three letters picked without replacement from {s: 4, o: 3, x: 7, i: 2, a: 3}? 21/323 Three letters picked without replacement from nnepnnnnwwnlneepnnn. What is prob of picking 2 e and 1 n? 11/323 What is prob of picking 1 v and 1 e when two letters picked without replacement from qqqvvqevdtteee? 12/91 Four letters picked without replacement from {m: 1, c: 7, o: 2, j: 2, a: 1, i: 2}. What is prob of picking 2 j, 1 a, and 1 m? 1/1365 What is prob of picking 1 v and 1 d when two letters picked without replacement from zddgzxzdgkxdvvx? 8/105 Two letters picked without replacement from {v: 1, e: 1, c: 1, d: 1, o: 2, k: 1}. Give prob of picking 2 o. 1/21 Calculate prob of picking 3 c and 1 f when four letters picked without replacement from {c: 5, f: 8}. 16/143 Four letters picked without replacement from oxrokhhhorog. What is prob of picking 2 h and 2 o? 2/55 Three letters picked without replacement from kqdktqddekkqkdm. Give prob of picking 2 d and 1 m. 6/455 Three letters picked without replacement from xttxtxttxt. Give prob of picking 2 t and 1 x. 1/2 Calculate prob of picking 2 w and 1 q when three letters picked without replacement from {w: 3, q: 2}. 3/5 Two letters picked without replacement from eohheohoheoh. Give prob of picking 2 o. 1/11 Two letters picked without replacement from {f: 1, p: 2}. Give prob of picking 1 p and 1 f. 2/3 Calculate prob of picking 1 p, 1 i, 1 w, and 1 a when four letters picked without replacement from {a: 1, i: 1, f: 1, p: 1, w: 1}. 1/5 What is prob of picking 1 s and 1 x when two letters picked without replacement from {f: 3, x: 2, a: 4, s: 2, l: 1}? 2/33 Three letters picked without replacement from kkkkkwjwnrxjnnjwj. Give prob of picking 1 x and 2 w. 3/680 What is prob of picking 1 i and 1 f when two letters picked without replacement from ffiiiiiiii? 16/45 Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {r: 1, t: 1, s: 1, h: 1, e: 1}. 1/10 Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, q: 3, y: 2}. 7/22 Calculate prob of picking 3 y when three letters picked without replacement from {b: 1, v: 3, y: 5}. 5/42 Four letters picked without replacement from cppucuppuuupupp. Give prob of picking 1 u and 3 p. 2/13 Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, n: 3, q: 6, s: 5, i: 1}. 1/51 Four letters picked without replacement from amddaamdd. Give prob of picking 1 a, 2 d, and 1 m. 2/7 Calculate prob of picking 1 l and 1 m when two letters picked without replacement from rrrqlrmlmlmmrmlll. 15/68 Three letters picked without replacement from ryjuuuuju. Give prob of picking 3 u. 5/42 What is prob of picking 1 j and 1 f when two letters picked without replacement from {j: 6, o: 5, f: 2}? 2/13 Three letters picked without replacement from lljljjl. Give prob of picking 3 l. 4/35 What is prob of picking 1 m and 2 d when three letters picked without replacement from {m: 3, j: 1, d: 4, h: 3}? 6/55 What is prob of picking 1 f and 3 r when four letters picked without replacement from {r: 4, f: 1, v: 5}? 2/105 Three letters picked without replacement from {e: 3, a: 3}. What is prob of picking 2 a and 1 e? 9/20 What is prob of picking 1 c and 2 l when three letters picked without replacement from {l: 15, c: 3}? 105/272 What is prob of picking 1 w, 1 r, 1 b, and 1 g when four letters picked without replacement from {b: 2, p: 7, g: 1, r: 2, w: 1, x: 1}? 4/1001 Calculate prob of picking 1 v and 1 b when two letters picked without replacement from dbffbbfbbffbbbfv. 1/15 What is prob of picking 2 p and 1 i when three letters picked without replacement from {i: 4, p: 2, v: 3, d: 1}? 1/30 Three letters picked without replacement from {r: 3, a: 5, t: 4, g: 1, n: 4, h: 1}. What is prob of picking 1 t, 1 h, and 1 r? 1/68 What is prob of picking 1 p and 2 z when three letters picked without replacement from {z: 2, p: 11}? 1/26 Two letters picked without replacement from {w: 3, f: 1, b: 1, r: 3, m: 4, c: 6}. Give prob of picking 1 w and 1 r. 1/17 What is prob of picking 2 c and 1 v when three letters picked without replacement from cvvvvvvvcvvc? 27/220 Three letters picked without replacement from {j: 2, a: 4, h: 3, d: 1, o: 1, g: 1}. Give prob of picking 2 h and 1 a. 3/55 Calculate prob of picking 2 k when two letters picked without replacement from kkr. 1/3 Calculate prob of picking 2 e, 1 g, and 1 b when four letters picked without replacement from {u: 2, b: 1, g: 9, e: 8}. 84/1615 Four letters picked without replacement from {o: 7, b: 4}. What is prob of picking 4 b? 1/330 Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {f: 6, g: 9, v: 1, k: 3}. 1/57 Two letters picked without replacement from {h: 1, g: 2, z: 2, t: 1}. What is prob of picking 2 g? 1/15 What is prob of picking 1 j and 1 b when two letters picked without replacement from jjybbjbojj? 1/3 Two letters picked without replacement from {a: 1, p: 1, b: 1, k: 2}. What is prob of picking 1 k and 1 a? 1/5 Calculate prob of picking 3 t and 1 f when four letters picked without replacement from eeefeeeeffeeetfeff. 0 What is prob of pick
{ "pile_set_name": "DM Mathematics" }
6*z*z*z assuming z is positive. z**(199/28) Simplify ((h/(h**(2/3)*h))**(-22))**(2/71) assuming h is positive. h**(88/213) Simplify (x*x/((x*x**(-3))/x))**28 assuming x is positive. x**140 Simplify (d**0/d)**43*(d*d**(3/2)*d)/((d/(d/(d/(d*d**(2/29))*d*d)))/d) assuming d is positive. d**(-2345/58) Simplify (n/n**(-1))**16/((n*n/(n*n**(-2/9)))/n)**(-6) assuming n is positive. n**(100/3) Simplify ((y*y**4)/y)/(((y*y**(-2/17)*y)/y)/y)*(y*y/(y/(y**2/y)*y)*y*y)**(-16) assuming y is positive. y**(-746/17) Simplify (((b/(b/((b/(b*((b*b**(2/7))/b)/b*b)*b)/b)))/b)**(6/19))**(-1/43) assuming b is positive. b**(54/5719) Simplify o*((o**(2/17)*o)/o)/o*o**(-2/23) assuming o is positive. o**(12/391) Simplify s**(-1/2)*s/(s*s/s**(-1/9)*s)*s/((s/(s*s**(-3/5)))/s)*s*s*s**(-1/4) assuming s is positive. s**(97/180) Simplify ((u/(u*u**(5/2))*u)/u*u/(u/(u*u**(6/13)/u*u*u)))/(u*u*u**9*u*u**(5/4)*u) assuming u is positive. u**(-743/52) Simplify (r**(2/7)*r)**(2/5)*(r**(-6)*r)/r**0 assuming r is positive. r**(-157/35) Simplify (o/o**(3/2))**36 assuming o is positive. o**(-18) Simplify b**(10/3)*(b*b*b**(14/3))/b assuming b is positive. b**9 Simplify (a*a*a*a**(-4/9)*a*a*a)**50 assuming a is positive. a**(2500/9) Simplify (s**(4/5)/(s/s**(-3/5)))/((s*(s**(-3/4)*s)/s)/s*s**0) assuming s is positive. s**(-1/20) Simplify (h**19)**(-22) assuming h is positive. h**(-418) Simplify (i**(1/5)/(i*i*i**(-3/2)))/(i*i**(1/2)*i/i**0) assuming i is positive. i**(-14/5) Simplify (y**23)**(-6/11) assuming y is positive. y**(-138/11) Simplify (r**(-3/2))**(-5) assuming r is positive. r**(15/2) Simplify (((o/(o/o**(3/5)))/o)/o)**(2/11) assuming o is positive. o**(-14/55) Simplify (u**(-8)*u/u**(2/3)*u)/(u**5/((((u/((u/(u*u**(-6)*u))/u))/u)/u)/u)) assuming u is positive. u**(-53/3) Simplify (f**(3/2)/((f*f**(-7))/f))/((f**(-2/7)/f)/(f/f**6)) assuming f is positive. f**(67/14) Simplify (s**(2/5))**(-2/29) assuming s is positive. s**(-4/145) Simplify (w*w*w**(-2))**(9/8)/((w*w*w*w*w*w**(2/33)/w)/w*w/w**(-4/9)) assuming w is positive. w**(-446/99) Simplify ((q*q**(-1/7))/q)/(((q/q**(1/10))/q)/q)*q**(2/21)/q**(-1/2) assuming q is positive. q**(163/105) Simplify (h**(4/7))**(-3/14) assuming h is positive. h**(-6/49) Simplify ((f**0/f)**(22/7))**(4/3) assuming f is positive. f**(-88/21) Simplify ((l/l**(-3/4))/l)/l**(4/3)*(l/(l*l**(-1/6)))/l*l*l*l*l**(3/2) assuming l is positive. l**(37/12) Simplify (y/((y*y/y**(-9))/y*y))/(y/(y/y**(-3/5)*y)) assuming y is positive. y**(-42/5) Simplify i**(-4/7)/((i/(i/i**(-12)))/i) assuming i is positive. i**(87/7) Simplify z**(1/7)/z**(4/9) assuming z is positive. z**(-19/63) Simplify t*t/(t*t**(2/29)*t)*t*t*t/t**(-27) assuming t is positive. t**(868/29) Simplify t**(1/5)/t**(-4)*((t**(2/5)/t)/t)**(46/3) assuming t is positive. t**(-61/3) Simplify f/f**(-2)*f/(f/(f*f**(5/2)))*((f*((f/(f/(f**(-3)*f)*f))/f)/f*f)/f)/(((f/f**(-4)*f)/f)/f) assuming f is positive. f**(-3/2) Simplify (x**1/x)**(-11/7)*x**(-1/3)/x**(2/3) assuming x is positive. 1/x Simplify (((z*z**(10/11))/z*z)/z**(-8))**(-2/43) assuming z is positive. z**(-218/473) Simplify h**(-6)/(h/h**(1/22)) assuming h is positive. h**(-153/22) Simplify r**(-2/5)*r*r**(-3)/r*(r*r/r**6*r)/(r/r**(-3)*r*r) assuming r is positive. r**(-62/5) Simplify i*i**(2/59)/i*i*i*i**(-1/7) assuming i is positive. i**(781/413) Simplify ((p**(-5))**38)**37 assuming p is positive. p**(-7030) Simplify (k/(k/(k/(k/k**3)))*k**(3/7))/((k/((k*k*k*k*k**(-4/7)*k*k)/k))/((k/(k**(-1)*k))/k)) assuming k is positive. k**(48/7) Simplify ((b*b*b**(1/15))/(b*(b*b/b**(5/6))/b))**0 assuming b is positive. 1 Simplify (u/(u**2*u)*u**(-3))/(u**(1/2))**46 assuming u is positive. u**(-28) Simplify p**22/((p**(-31)/p)/p) assuming p is positive. p**55 Simplify (h**(2/7)*h*h*h/(h/((h/(h*h**(-1/3))*h*h)/h)))/(h**7*h**1) assuming h is positive. h**(-92/21) Simplify ((((h*h**(-2)*h*h)/h)/h)/(h/(h*h**(-4)*h)))/(h*h**(-3/5)*h**(3/5)) assuming h is positive. h**(-5) Simplify (w/(w*w/(w*w**17)*w*w*w*w*w*w*w)*(w/w**(6/7))/w)**(-39) assuming w is positive. w**(-2496/7) Simplify y**5/(y**3*y)*(y**(-1/2)*y)/(y**1*y) assuming y is positive. 1/sqrt(y) Simplify ((q/(q**(-12)*q)*q)/q*q/((q*q/(q**8/q))/q))**(-22) assuming q is positive. q**(-418) Simplify h**21/(h/(h**(4/7)*h)) assuming h is positive. h**(151/7) Simplify (h/(h**0/h))/(((h**(-2)*h*h)/h)/h)*h*h/(h**(-5)/h*h)*h**6/h assuming h is positive. h**16 Simplify (i**(-7/5)*i)/i**(-10)*(i/i**(-5))/i**(-4/3) assuming i is positive. i**(254/15) Simplify (l*l**(-7))**(1/26) assuming l is positive. l**(-3/13) Simplify (((n**0/n)/n)/n**(-2))**(-16) assuming n is positive. 1 Simplify (s*(s**(-5)/s)/s*s*s**0)**(-1/46) assuming s is positive. s**(5/46) Simplify (a**(1/3)*a)**5*(a**(-2))**(-25) assuming a is positive. a**(170/3) Simplify (k**(-3/4)*k)**24 assuming k is positive. k**6 Simplify w**18/(w**(-24)/w) assuming w is positive. w**43 Simplify (b**(2/9))**(-38)/(b*b**(-2))**11 assuming b is positive. b**(23/9) Simplify ((w/(w/(w*w**(-2))))/((w/(w/(w/w**(-1/5))))/w))**(2/25) assuming w is positive. w**(-12/125) Simplify l/l**9*l**10*l*((l**(3/5)*l*l)/l)**(-3) assuming l is positive. l**(-9/5) Simplify m/(m*m/(m/m**(-22)))*m**6 assuming m is positive. m**28 Simplify w**(3/4)/(w**(-3/2)/w) assuming w is positive. w**(13/4) Simplify (h*h**(1/3)*h*h*h**(-6)/h)/((h*h**2/h*h)/h)**(-16) assuming h is positive. h**(85/3) Simplify (f**(-2/3))**(2/17)/(f**2*f*f/f**2) assuming f is positive. f**(-106/51) Simplify (((v*v**(-1/14))/v)/v)**(-3/20) assuming v is positive. v**(9/56) Simplify (b/b**(1/4)*b/(b*b**(1/5)))/(b**(-2/5))**(-1/10) assuming b is positive. b**(51/100) Simplify r**(-9)*r**(4/15) assuming r is positive. r**(-131/15) Simplify (((w*w*w**(1/10)*w)/w)/w**(-5/6))**(-41) assuming w is positive. w**(-1804/15) Simplify d**(2/3)*d/(d/d**(-6)*d)*(d*d**(1/2))/(d**(-3/2)/d) assuming d is positive. d**(-7/3) Simplify t**(13/5)/(t*(t*t**(2/3))/t*t) assuming t is positive. t**(-1/15) Simplify (f/f**25)/((f*f/((f*f**(-21)*f)/f)*f)/f) assuming f is positive. f**(-46) Simplify n/n**(-1/6)*n**(-2/7)*n**(-3/10)/(n/((n/(n/(n*n/n**(-2/7))))/n)) assuming n is positive. n**(13/15) Simplify (s/s**(-2/3))**(-25)*s**(1/3)*s*s**(-3)/s*s assuming s is positive. s**(-130/3) Simplify ((((q**(-7)/q*q)/q)/q)/q*q**(7/3)*q)/((q**(-2/5)/q)/(q**5*q)) assuming q is positive. q**(11/15) Simplify s/s**11*(s*s**(-19))/s assuming s is positive. s**(-29) Simplify y**(5/7)/(y**(-2/43)/y*y) assuming y is positive. y**(229/301) Simplify (((g**9/g)/g)/g)/(g/((g**(1/8)*g)/g*g*g))*(g**(2/9))**(44/5) assuming g is positive. g**(3269/360) Simplify (b**(2/3))**35*b**(3/8)/(((b*b*b/(b*b*b**(-2/7)))/b)/b) assuming b is positive. b**(4103/168) Simplify (l/(l/(l/(l/(l/(l**(11/2)/l))))))/((l*l**(-2/55))/l) assuming l is positive. l**(-381/110) Simplify v**(-1/3)/v*v*(v**(-4/7)*v)/v assuming v is positive. v**(-19/21) Simplify (b*b/(b/(b*b**(2/63)))*b*b**(1/4))**(4/3) assuming b is positive. b**(827/189) Simplify z*z*(z**(-6/7)/z)/z*z*z*z**(-16) assuming z is positive. z**(-104/7) Simplify p/p**(-12)*p/(p/(p*p/p**19)) assuming p is positive. p**(-4) Simplify ((a**(-1/2))**36)**(-34) assuming a is positive. a**612 Simplify (g**(-5/2)*g**(-3/2)*g)**(-10/11) assuming g is positive. g**(30/11) Simplify ((a**(-1)*a)/a)**(-7/2)/((a*a**2)/a*a**(-4)) assuming a is positive. a**(11/2) Simplify (r*r**(-1/6)*r/(r/(r*r/(r*r**(-3/11)/r))))/(r/(r**1/r*r*r))**(7/3) assuming r is positive. r**(359/66) Simplify (i*i**1*i**(-2/15)*i)/(i/(i/(i*(i*i/i**(-1/5))/i)*i))**37 assuming i is positive. i**(-623/15) Simplify q**18/q*q**(-12)/q assuming q is positive. q**4 Simplify ((x*x/x**(-8/3))/(x**10/x))**(-41) assuming x is positive. x**(533/3) Simplify (q**1)**1*(q/(q*q**4))/(q*q**0/q*q) assuming q is positive. q**(-4) Simplify f/(f**(1/2)/f)*f*f**(-5)/f*f*(f**(-1/3))**(-8/9) assuming f is positive. f**(-119/54) Simplify (u*u/(u*u**(2/51)))**(-5) assuming u is positive. u**(-245/51) Simplify (l*l*l**(-6)*l/(l**(-1/7)*l)*l)**(-1/21) assuming l is positive. l**(20/147) Simplify y**(4/3)/(y**1*y*y)*(y**1)**(-19/4) assuming y is positive. y**(-77/12) Simplify f**13*f*f/(f**(-2/45)/f*f) assuming f is positive. f**(677/45) Simplify ((n**16/n)/(n/(n/(n**(-13)*n*n))))**(-13/5) assuming n is po
{ "pile_set_name": "DM Mathematics" }
for w. -4 Solve 0 = 5*w - 5*r - 25, -6*w - 5*r - 18 = -4*w for w. 1 Solve -5*w - 4*z - 36 = 0, w - 27*z - 4 = -25*z for w. -4 Solve 0 = -4*t + 5*r - 25, 0 = 7*t - 12*t - 8*r + 40 for t. 0 Solve -4*l = -2*p - 6*l - 10, 0 = p + 4*l + 17 for p. -1 Solve 10 = -t + 5, 3*t = 3*n - 3 for n. -4 Solve -5*z = 2*f - 3 + 1, -3*z = -4*f + 4 for f. 1 Solve 2 = 2*j + 2*j - 2*q, -1 = q for j. 0 Solve -3*p + 4 = 2*t, 5*p + 4*t = 9*p - 32 for p. 4 Solve -r - 3*p + 10 = 0, 4*r - 2*p - 4 = -6 for r. 1 Solve -d + 3*w - 9 = 0, 25*d = 27*d + 2*w + 2 for d. -3 Solve 5*k + 15 = -2*t + 2*k, 25 = -2*t - 5*k for t. 0 Solve 2*l = 5*a - 31, -5*a + a + 2*l + 26 = 0 for a. 5 Solve 5*s = 2*c + 3, 5*c - 40*s + 37*s - 2 = 0 for c. 1 Solve 0 = -5*k - 14*j + 9*j + 15, 5*j - 10 = -4*k for k. 5 Solve 10 = 3*x - 2, -5*d + 2*x + 12 = 0 for d. 4 Solve -2*a = g - 3, -756*a + 753*a + 2 = -g for a. 1 Solve -8 = -23*h + 27*h + 3*z, -19 = 3*h - z for h. -5 Solve -5*n + 0*n + 7 = 2*f, 4*f = 4 for n. 1 Solve 4*q + 3*g + 2*g = 7, -3*g = q for q. 3 Solve -7*t + 3*w + 12 = -4*t, 5*t + 4*w = -25 for t. -1 Solve 2*k + 34 = 4*s + 16, 4*s = 4*k + 28 for k. -5 Solve c = -4*d + 16, -12 = 2*c + c for d. 5 Solve 2*q - 5*z = -15, -3*q + 5*z - 20 = -2*q for q. 5 Solve 3*c - j = -20, -2*j + 20 = 2*j for c. -5 Solve 10*j = 14*j + 2*u + 16, -5*u = -10 for j. -5 Solve 3*d + 6 = 3*i, -3 + 16 = -4*i - 3*d for i. -1 Solve 4*r = -4*s - 36 + 24, -3*r - 7 = s for r. -2 Solve -d - 17 = 4*q, 4*d - 79 = -3*q - 108 for q. -3 Solve 4*f = -x + 7*f + 1, -3*f = -3*x - 9 for x. -5 Solve w + 4*f - 12 = 0, -5*f = -4*w + 9*w - 30 for w. 4 Solve -2*o - o = 2*x + 12, 4*o - 4*x = 4 for o. -2 Solve 2*z = -3*v - 4, -7*v + 4*v = z - 1 for z. -5 Solve -2*h = -3*t + 4, 4*t - 25*h - 8 = -21*h for t. 0 Solve -2*h = -5*w + 3, -12 = 4*h + 9*w - 13*w for h. -4 Solve 0 = 3*f - 4*r + 29, 137*r - 141*r + 11 = 3*f for f. -3 Solve b - 4 = -4*q - 13, -5*q = b + 10 for b. -5 Solve 4 = -l - 4*u - 2, -4*l = u + 9 for l. -2 Solve -3*z + 3*f - 9 = 0, 3*f - 22 = z - 23 for z. -5 Solve -11*l + 9*l = -3*b + 14, 2 = l for b. 6 Solve 0 = 4*a - a + 2*j + 15, 3*a = 3*j - 15 for a. -5 Solve o + 2*m + 13 = 0, -38*o = -43*o - m - 29 for o. -5 Solve -2*j = 5*h + 5, 4*j + 5*h - 56 = -51 for j. 5 Solve 4*i - s + 9 = 0, 7*i = 4*i - 2*s - 15 for i. -3 Solve -14*h - 4*n = -13*h + 7, 0 = -h + 3*n for h. -3 Solve -5*h - 34 = -5*d - 19, 0 = h + 2*d - 12 for h. 2 Solve 2*t - 3 - 2 = 3*m, -3 = -4*t - m for t. 1 Solve -4 = 2*n - 3*r, -2*r - 182 = 3*n - 189 for n. 1 Solve -3*s + 3*g + 3 = 0, -5*g - 65 + 60 = 3*s for s. 0 Solve 9*f - 7*f - 4*b + 2 = 0, -3*b - 1 = f for f. -1 Solve -4*r = -4*x + 8, -3*r + 3*x = 5*x + 16 for r. -4 Solve 5*a + 4*v = 12, 4*v = -138*a + 135*a + 4 for a. 4 Solve -4*p - 4*m + 4 = 0, -3*p + 5*m + 84 = 105 for p. -2 Solve -c - 6 = -4*y, 2*y + 24 = c + 4*c for y. 3 Solve 0 = 3*j + 4*v - 10 - 8, 5*j - v = 7 for j. 2 Solve 40*j - 5 = 44*j - 3*g, j - 5 = 2*g for j. -5 Solve p - 5*d = -18, -65*p + 3*d = -70*p - 6 for p. -3 Solve 0 = q - 6*c - 26, 0 = 23*c - 25*c - 10 for q. -4 Solve 0*s = 4*s - 2*l + 26, -2*l = s - 6 for s. -4 Solve -j - 1 = 3*u - 8, 5*j - 3 = u for j. 1 Solve 9 = -3*w + 5*j, 2*w + 3*j + 6 = j for w. -3 Solve 5*w - 4*i - 17 + 3 = 0, -w + 2*i = -4 for w. 2 Solve -4*f = 3*t - 17, -48*t = -52*t - 5*f + 22 for t. 3 Solve 4*z - 3*d = -14, z - 4*d - 3 = -0 for z. -5 Solve -4*f - 50 + 68 = 3*v, -2*v = -4*f + 8 for v. 2 Solve 0 = -5*s - 5*p + 35, 0 = 3*p - 3 - 12 for s. 2 Solve 3*h + 3 = w, 4*w - 184 = -208 for h. -3 Solve -m + 2*m = 2*c - 2, 4*c + m + 2 = 0 for c. 0 Solve -12*p + 10*p = 5*s - 18, 5*s = -p + 19 for p. -1 Solve 0 = -4*b - 4*w - 13 - 3, b - 3*w = -8 for b. -5 Solve -4*t + 8 = -d, -10 = d - 2*d - 2*t for d. 4 Solve -x + 5*x + 4*t - 16 = 0, -x - 5*t = -16 for x. 1 Solve 5*s + 0 = -5*m - 5, 3*s + 15 = m for m. 3 Solve -3*s + 30 = 3*d, -285*s + 284*s + 10 = -3*d for s. 10 Solve -17*t = -19*t - 3*l + 16, -4*t + 3*l + 14 = 0 for t. 5 Solve 2*v + 8 = -2*u, -6*u + 2*u = -2*v + 4 for v. -2 Solve 0 = 2*i - 2*p - 6, -5*i - 2*p = p - 15 for i. 3 Solve -4*n = 2*i + 4, 3*i - 14 = -8*n - 20 for n. 0 Solve 22*g = -2*u + 24*g + 4, -3*g - 7 = -2*u for u. -1 Solve -12*t + 13 = 4*p - 13*t, 3*p = -4*t + 24 for p. 4 Solve 7*h = 12*h + 5*a + 10, 4*h - 5*a = 10 for h. 0 Solve 5*o - 3*f - 34 = 0, 2*o - 4*f - 15 = 7 for o. 5 Solve -p = 3*m - 16, 3*p = 2*m + 2 + 2 for p. 4 Solve 4*i + 12*o - 33 = 15*o, -5 = 3*i + 2*o for i. 3 Solve 9*m = -2*k + 10*m - 3, 2*k - 12 = -4*m for k. 0 Solve 4*m + 3 + 18 = 5*j, 3 = -2*m - 5*j for m. -4 Solve -3*h - 11 = o, -h + 4*o - 6*o = 2 for h. -4 Solve 2*u + 15 = 31*f - 36*f, 3*f = u - 9 for u. 0 Solve -3*d + t = 2*d + 20, 3*d + 12 = t for d. -4 Solve 4 = 4*f - 12, -15 = -i - 5*f for i. -5 Solve 5*c = -3*w - 66 + 26, 0 = -w - 5 for c. -5 Solve q + 5*w + 21 = 0, 2*q + q = -2*w + 2 for q. 4 Solve 2*n - 3*n = -4*s - 2, -2*n - s = -4 for n. 2 Solve 0 = y - 5*n - 30, 2*y + n + 27 - 32 = 0 for y. 5 Solve -3*y + 0*y + 4*n = -3, -y + 3*n + 6 = 0 for y. -3 Solve -8 = -4*h, -24*h + 27*h = -2*m + 8 for m. 1 Solve 0 = -0*q + 2*q - 3*d + 22, -5*q - 45 = -5*d for q. -5 Solve -z + 5 = 4*a + 17, 9 = 2*z - 3*a for z. 0 Solve -69*z = -71*z - 5*w - 15, 15 = 3*z - 5*w for z. 0 Solve -9 = 4*g - z + 14, -4*z = 5*g + 13 for g. -5 Solve 3*f + t + 1 = 0, 0 = -t + 2 for f. -1 Solve 5*y - 3*p = 32, 3*p = 3*y - 35 + 11 for y. 4 Solve 3*k + 5*q = -26, -4*k - q - 13 = -1 for k. -2 Solve -4*j - 2*s + 19 = s, -13 = -2*j - 5*s for j. 4 Solve 2*a + 5*r + 482 - 474 = 0, 0 = 5*a - 5*r - 15 for a. 1 Solve -2*r + 5 = 4*x + 13, 0 = 2*r for x. -2 Solve t = 4*r - 4, -3*r + 117*t - 12 = 120*t for r. 0 Solve 5 = 5*w + 9*t - 5*t, 5 = -t for w. 5 Solve -7*m + 4*b + 4 = -3*m, m = -2*b + 1 for m. 1 Solve 2*a = -7*z + 8*z + 3, 4*a - 3*z = 7 for a. 1 Solve -3*i - 4*d = i + 40, -7*i = -d + 30 for i. -5 Solve 0 = -4*p + 3*w - 19, 5*p - 3*w = -11 - 9 for p. -1 Solve -2*s + 14 = -0*s + 2*y, s - 3*y = -9 for s. 3 Solve -5*k + 45 = -5*y, -83 = -3*y + 4*k - 114 for y. -5 Solve -5*z - 8 = -v + 4*v, 2*v = -2*z for v. 4 Solve 56*o - j = 60*o - 25, o = -4*j + 25 for o. 5 Solve -8 = 2*g - 2*j, -8*g + 16 = -3*g + 4*j for g. 0 Solve -2*b + 28 = 5*a + 16, 2*b + 2*a = 0 for b. -4 Solve 0 = -4*n - 20, 4*h - 27*n + 28*n = -13 for h. -2 Solve -7*t = -p - 3*t + 7, 7 = -3*p - 2*t for p. -1 Solve 4*h + 2 = 2*a, 3*h + 6 = -151*a + 154*a for a. 3 Solve -k + 7 = -3*f, 2*k - 9 = -0*f + f for k. 4 Solve 3*i + 15 = n - 4*n, i + 5 = n for n. 0 Solve -s - r - 4 = 0, -3*s - 7*r + 6*r = 6 for s. -1 Solve -2*n = -10, 2*n = -w + 10 - 3 for w. -3 Solve 3*w + 9 = 0, 19 = 3*z - 5*w + 4 for z. 0 Solve -2*l = 5*g - 37 + 41, -8 = -3*g + 4*l for g. 0 Solve 0 = -4*v - 4*c + 36, v + 0*c = -5*c + 25 for v. 5 Solve 0 = 2*o + i - 7 - 8, -10 = -4*o + 2*i for o. 5 Solve 5 = 2*z + 3*u - 11, -u = z - 7 for z. 5 Solve 4*t + 5*i + 25 = -15, -2*i - 3 = -t for t. -5 Solve -10*u + 6*u - o + 12 = 0, 3*o = 3*u - 9 for u. 3 Solve -l = -3*r + 2*r - 1, -l = 3*r - 17 for l. 5 Solve 5*g + 20 = -4*c + 4*g, g = 0 for c. -5 Solve o = 5*a + 10, -4*a + 2*o = -2*o + 8 for a. -2 Solve 4*p - 15 = f, -4*p - 4*f + 27 = -9*f for p. 3 Solve 4*n = -2*f - f - 10, 5*f + 40 = 5*n for f. -6 Solve 11*n - 3*t - 25 = 7*n, 0 = t + 3 for n. 4 Solve -4*w - 16 = 9*m - 5*m, 2*w - 1 = m for w. -1 Solve -5*d - 2*s - 21 = 0, -3*d - 132 = -4*s - 109 for d. -5 Solve -3*k = 4*v + 4, -2*k = -3*v - 3*k - 3 for v. -1 Solve 0 = -4*c + 4*o - 24, 2*o - 6 = 5*c + 5*o for c. -3 Solve -4*w - 3*y = 8, 5*w - 2*y + 3 = -7 for w. -2 Solve -h + j - 2*j = -8, -3*j = 4*h - 28 for h. 4 Solve 5*j - 14 = -s, -j - 12 = -2*s - 3*j for s. 4 Solve -5*n = -2*g + 17, 3*n + n = 5*g for n. -5 Solve g - 5 = 5*h, 0*g = h - g + 1 for h. -1 Solve -2*p + 5*a = 20 - 18, 5*p - 2*a = -5 for p. -1 Solve -4*x + x - 15 = -3*m, 0 = 3*m + 2*x - 10 for m. 4 Solve 2*g - 4*a = 0, 5*g + 7*a = 6*a - 22 for g. -4 Solve -4*s + 11*p + 47 = 0, 49*s = 51*s + 3*p + 19 for s. -2 Solve 5*d + 0*u - 3*u + 12 = 0, 4*d - 20 = -5*u for d. 0 Solve 3*b - 16 = 4*y, 0 - 8 = -3*b - 4*y for b. 4 Solve -107*i = -108*i + 4*j + 17, -34 = -5*i + 3*j for i. 5 Solve 2*c + 3*r = r - 2, -5*c - 2 = 4*r for c. 2 Solve 3*k + 3*f - 11 = -k, -3*k - 3*f = -6 for k. 5 Solve 16 = 5*l - 4*g, -l - 17*g + 21*g = -16 for l. 0 Solve -3*l = 4
{ "pile_set_name": "DM Mathematics" }
e factors of 801955713? 3, 13, 20562967 What are the prime factors of 35278810? 2, 5, 7, 503983 List the prime factors of 288222558. 2, 3, 13, 419, 8819 List the prime factors of 1655604200. 2, 5, 29, 131, 2179 What are the prime factors of 106384733? 7, 13, 167009 What are the prime factors of 76519535? 5, 163, 93889 List the prime factors of 12199777. 443, 27539 List the prime factors of 9510402. 2, 3, 11, 103, 1399 List the prime factors of 164357687. 13, 71, 178069 List the prime factors of 24194107. 7, 3456301 What are the prime factors of 32608051? 7, 947, 4919 List the prime factors of 842235381. 3, 13, 2399531 What are the prime factors of 1104994243? 107, 1171, 8819 List the prime factors of 498491997. 3, 31, 5360129 List the prime factors of 95237933. 7, 47, 289477 List the prime factors of 692093376. 2, 3, 13, 30809 List the prime factors of 133760756. 2, 33440189 What are the prime factors of 8219197112? 2, 7, 883, 166219 What are the prime factors of 748902901? 11399, 65699 What are the prime factors of 81782979? 3, 27260993 What are the prime factors of 276011207? 8209, 33623 List the prime factors of 375196463. 107, 421, 8329 What are the prime factors of 3549405423? 3, 229, 2273 List the prime factors of 934912367. 509, 1836763 List the prime factors of 17896871. 521, 34351 What are the prime factors of 40372617? 3, 467, 28817 What are the prime factors of 1683760857? 3, 61, 9200879 What are the prime factors of 89946636? 2, 3, 13, 576581 List the prime factors of 7905793695. 3, 5, 19, 227, 122201 List the prime factors of 384955921. 7, 54993703 What are the prime factors of 247490085? 3, 5, 16499339 What are the prime factors of 69323431? 3701, 18731 What are the prime factors of 208662174? 2, 3, 7, 1656049 What are the prime factors of 12147761? 47, 131, 1973 List the prime factors of 426974413. 37, 53, 217733 List the prime factors of 12671006. 2, 233, 27191 What are the prime factors of 6317799619? 491, 12867209 What are the prime factors of 2351282679? 3, 167, 1564393 List the prime factors of 102200237. 102200237 List the prime factors of 3215847303. 3, 357316367 List the prime factors of 568395256. 2, 11, 13, 496849 List the prime factors of 1205837777. 29, 43, 966991 List the prime factors of 23699213. 19, 1247327 What are the prime factors of 176633594? 2, 43, 199, 10321 List the prime factors of 3223777533. 3, 103, 10432937 List the prime factors of 15225288. 2, 3, 13, 48799 List the prime factors of 93477039. 3, 1789, 17417 List the prime factors of 546593794. 2, 61, 4480277 List the prime factors of 2330418882. 2, 3, 11, 349, 101173 List the prime factors of 4471357323. 3, 17, 31, 2828183 List the prime factors of 534641123. 73, 7323851 List the prime factors of 57061389. 3, 7, 11, 19, 13001 What are the prime factors of 45376565? 5, 13, 499, 1399 What are the prime factors of 80181692? 2, 4177, 4799 What are the prime factors of 4037879354? 2, 19, 6833, 15551 List the prime factors of 1596447112. 2, 13, 23, 89, 7499 List the prime factors of 1135566673. 19, 31, 1927957 List the prime factors of 5427064. 2, 678383 List the prime factors of 61014626. 2, 30507313 List the prime factors of 2795755889. 229, 12208541 What are the prime factors of 224313456? 2, 3, 43, 191, 569 What are the prime factors of 18588117? 3, 23, 269393 What are the prime factors of 279437147? 11, 53, 479309 List the prime factors of 65790346. 2, 233, 141181 List the prime factors of 373358279. 7, 5867, 9091 What are the prime factors of 856817286? 2, 3, 13, 10984837 List the prime factors of 146636699. 11, 19, 701611 What are the prime factors of 73676886? 2, 3, 991, 12391 What are the prime factors of 44504168? 2, 5563021 What are the prime factors of 5847985536? 2, 3, 1721, 8849 What are the prime factors of 60773254? 2, 2677, 11351 List the prime factors of 22791523. 59, 386297 What are the prime factors of 3688299633? 3, 15187, 80953 List the prime factors of 3653970669. 3, 83, 543503 List the prime factors of 1067850615. 3, 5, 13, 29, 188833 List the prime factors of 32842102. 2, 223, 73637 List the prime factors of 213907963. 213907963 List the prime factors of 175164482. 2, 87582241 List the prime factors of 60015929. 60015929 What are the prime factors of 214697953? 214697953 List the prime factors of 83143382. 2, 7, 67, 137, 647 What are the prime factors of 1025242962? 2, 3, 170873827 What are the prime factors of 49082746? 2, 223, 110051 What are the prime factors of 1841287206? 2, 3, 11, 27898291 What are the prime factors of 155155648? 2, 47, 51581 What are the prime factors of 946315631? 61, 929, 16699 What are the prime factors of 47030000? 2, 5, 4703 List the prime factors of 527810133. 3, 4157, 42323 What are the prime factors of 101268162? 2, 3, 5626009 List the prime factors of 13361231. 13, 1027787 List the prime factors of 44695470. 2, 3, 5, 379, 3931 What are the prime factors of 91712033? 7, 149, 87931 List the prime factors of 115063979. 83, 1386313 List the prime factors of 1320357500. 2, 5, 7, 11, 19 List the prime factors of 10581639. 3, 3527213 List the prime factors of 1038088215. 3, 5, 149, 154823 List the prime factors of 254074951. 13, 23, 53, 16033 List the prime factors of 2893954277. 19, 23, 83, 3469 List the prime factors of 1412046914. 2, 401, 1760657 What are the prime factors of 905078638? 2, 719, 629401 List the prime factors of 1056087430. 2, 5, 17, 41, 277, 547 What are the prime factors of 289540088? 2, 19, 1904869 What are the prime factors of 438297870? 2, 3, 5, 14609929 What are the prime factors of 2749878776? 2, 37, 9290131 What are the prime factors of 6338816399? 23, 275600713 List the prime factors of 829154697. 3, 7, 1123, 35159 List the prime factors of 58725049. 23, 167, 15289 What are the prime factors of 522314890? 2, 5, 877, 59557 What are the prime factors of 606136894? 2, 11, 23, 229, 5231 What are the prime factors of 9562728? 2, 3, 7, 56921 List the prime factors of 770444966. 2, 385222483 What are the prime factors of 190158699? 3, 63386233 What are the prime factors of 4626677275? 5, 11, 16824281 What are the prime factors of 193784642? 2, 53, 151, 12107 List the prime factors of 1842604432. 2, 17, 509, 13309 What are the prime factors of 2388842490? 2, 3, 5, 79628083 What are the prime factors of 2532130878? 2, 3, 422021813 List the prime factors of 466982560. 2, 5, 11, 24121 List the prime factors of 72292800. 2, 3, 5, 15061 List the prime factors of 159597034. 2, 29, 151, 18223 List the prime factors of 98116170. 2, 3, 5, 277, 11807 What are the prime factors of 306124741? 13, 1811389 List the prime factors of 10367629. 41, 252869 What are the prime factors of 108615167? 47, 73, 31657 What are the prime factors of 811386828? 2, 3, 7, 1073263 What are the prime factors of 1229386932? 2, 3, 34149637 What are the prime factors of 50173422? 2, 3, 13, 29, 41, 541 List the prime factors of 188703155. 5, 19, 23, 67, 1289 What are the prime factors of 566885473? 7, 11, 37, 198977 List the prime factors of 1384816445. 5, 276963289 List the prime factors of 6986107. 379, 18433 What are the prime factors of 1558253122? 2, 83, 131, 547 What are the prime factors of 16187345? 5, 3237469 What are the prime factors of 1106457067? 23, 48106829 List the prime factors of 144559836. 2, 3, 1338517 What are the prime factors of 55686287? 113, 492799 What are the prime factors of 1560388361? 7, 222912623 What are the prime factors of 4689851? 29, 59, 2741 List the prime factors of 140692525. 5, 41, 317, 433 List the prime factors of 45817976. 2, 389, 14723 List the prime factors of 244569793. 13, 107, 193, 911 What are the prime factors of 54488382? 2, 3, 13, 71, 9839 List the prime factors of 1554912434. 2, 3923, 198179 List the prime factors of 270163795. 5, 11, 4912069 What are the prime factors of 3658643325? 3, 5, 19, 47, 131, 139 List the prime factors of 346325949. 3, 1091, 3919 List the prime factors of 50893439. 71, 716809 What are the prime factors of 1015125625? 5, 1624201 List the prime factors of 4419813. 3, 17, 79, 1097 List the prime factors of 24459672. 2, 3, 23, 73, 607 What are the prime factors of 558831612? 2, 3, 43, 1083007 What are the prime factors of 1688025209? 13, 73, 40
{ "pile_set_name": "DM Mathematics" }
3 Let b(d) = d**3 + 2*d**2 + 2. Let g be b(0). Solve 2*v + 16 = -2*a, 2*v = -g*a + a - 12 for v. -4 Suppose j = -3*i + 13 - 1, 0 = i - j - 8. Suppose -i = -4*a - q, -a + 7 = 2*a + 4*q. Suppose 5 = h + a. Solve 2*v + 3*f + 9 = h*f, 3*v = -3*f for v. -3 Let q = -319 - -319. Solve -3 = 3*o - z, q*o - 6 = -o - 2*z for o. 0 Suppose -4*r + 146 = 5*m, 4*m + 162 = 5*r - 0*r. Solve 5*s - r = 3*x, s - 1 = 2*s + 2*x for s. 5 Let t be (6 - 13)*(0 - 30/7). Let g = t + -28. Solve 2*l - 19 = -3*a, 0*l - g*l - 5*a = -25 for l. 5 Let u(z) = -16*z - 299. Let n be u(-19). Solve -2*g - f = -3*f + 8, 0 = 5*g - 2*f + n for g. 1 Let p(x) = x + 4. Let t be p(0). Solve -3*i - t*z + 0*z = -23, 5*z = 10 for i. 5 Let h be (-25)/(-3) + 17/(-51). Solve -2*v + 4*n = 10, 2*v + 2*n - h = -3*n for v. -1 Suppose -3*x = 5*k - 7, 2*k - 2*x = -3*k + 12. Let t be k - (-2 - 2/2). Solve a - t = -3*v, -v + 4*a = -a + 9 for v. 1 Suppose -4*b = -i + 53, 2*i - 2*b - 69 - 37 = 0. Let g = i + -45. Let u = 4 + 0. Solve 18 = o + u*s, -3*o + g*o + 5*s = 15 for o. -2 Let n(v) = 3*v**2 + 39*v + 3. Let y be n(-13). Solve -12 = -4*z - 0*t + t, 2*t + 14 = y*z for z. 2 Suppose 2*k - 3*o - 29 = 0, -5*k + 11*o - 13*o + 63 = 0. Solve 4*t - k = 3*u + 5*t, -5*u - 15 = -5*t for u. -4 Let o be (2/4)/((-2)/(-36)). Suppose 2*q = 21 - o. Suppose -4*t - 2*p + 12 = 0, 3*t - p = q + 13. Solve 7*c - 15 = 2*c - m, t*c = 2*m for c. 2 Let t(y) = y**3 + 6*y**2 - 10*y - 17. Let s be t(-7). Solve s = -4*n - 3*u, 1 = n + 5*u + 2 for n. -1 Let v(b) = b**2 + 6*b - 13. Let a be v(-8). Suppose -y = a*y - 60. Solve -f - 5 = -h - 0, 3*f + 3*h + y = 0 for f. -5 Suppose -4 = -f - 3*c, c - 16 = 2*f - 6*f. Solve 0 = f*y - x + 10, -y = -0*y - 5*x + 12 for y. -2 Let q = -5034 + 5035. Suppose -2*z + 3*u + 19 = 0, 5*z + 4*u - 30 = 8*u. Solve -z*p - w = q, p = -0*p + 3*w + 17 for p. 2 Let y(l) = 3*l - 95. Let g be y(32). Solve -i + 4*v + 11 = 0, i + g = v - 3*v for i. 3 Suppose -17 = -3*n - 5*u, -10*n + 21 = -6*n + 5*u. Solve 0 = -n*a + 2*z + 2, a + 5 = -a - 5*z for a. 0 Suppose -5*a = -x + 2*x + 7, 0 = -3*a - 6. Solve 3 = 3*r + 3*o, -x = -2*r + 3*r + 5*o for r. 2 Let c be -3*((-1)/3 - 1). Let r be (6/(-10))/((-3)/15). Let o(k) = -k**2 + 12*k - 18. Let f be o(9). Solve -r*x - 21 = -c*u, x - f = 4*x for u. 3 Suppose -q + l + 5 = 0, 0 = -q + 43*l - 47*l. Solve -3*h = -5*y - 26, -2*y + 5 = -q*h + 21 for h. 2 Let s = -6 + 10. Suppose b = s*b - 48. Let q be 1*6*8/b. Solve 2*t - q*t + 5*o - 22 = 0, 0 = 4*t - o + 12 for t. -2 Let m = 4 - 0. Suppose -m*y - y + 125 = 0. Suppose 0*z = 5*z - y. Solve -z*n - 3*p + 13 = 48, -n - 3*p = 19 for n. -4 Suppose 0 = 4*o - 3*b - 134, 2*o - o - 4*b - 27 = 0. Solve 0 = -3*w - 4*u - 4 - 1, 5*u = 2*w - o for w. 5 Suppose 19*b = 21*b - 10. Suppose 3*z - b*g - 14 = 0, 5*z = -g + 2*g + 16. Solve -j = 2*o + 2*j - 1, z = 2*o + 5*j for o. -1 Let p = -183 + 183. Solve 33 = -4*j - 5*u + 6, 4*j + 4*u + 24 = p for j. -3 Suppose -62*t = -61*t - 2. Solve m = 4*k + 11, 9 + 4 = -5*k + t*m for k. -3 Suppose -5*t - 2*w = -71, 0*t - 2*w = -3*t + 49. Let n be 35*(3 - 51/t). Let l = -9 - n. Solve 0 = b + 1, 4 = -l*z + 3*z - 2*b for z. -1 Suppose 5*s = -7*g + 8*g + 9, -8 = -2*s - 4*g. Solve -4*m - 8 = s*j, 4*j + j + 20 = -5*m for m. 0 Let q = -1262 - -1264. Solve -4*x = w - 20, 5*w + q*x - 28 = -0*x for w. 4 Let r(b) be the first derivative of b**4/4 + b**3 - 5*b**2/2 - 7. Let p be r(-4). Let i = 8 + 10. Solve -p*x = 2*z + i, -3*z - 2*x - 3*x = 22 for z. 1 Let b = 159 - 157. Solve -4*d = 4, -4*c + 7*d - b*d = -21 for c. 4 Suppose 5*w + 12 = 2. Let t = -6 - w. Let z = t + 23. Solve -24 = b + 5*o - 2, 3*b - z = 2*o for b. 3 Let q(d) = -5*d - 7. Let j be q(-3). Suppose -13*n = -j*n. Solve 4*o - 8 = 2*c, -4*o + 4 = -n*c - c for o. 0 Suppose -6*j - 58 = -22. Suppose -15 = 4*n + n + d, 5*n = -2*d - 20. Let c = n - j. Solve 0 = -4*g - 4*k + c, -2*g + 5*k = -2 for g. 1 Suppose 3*x + 32 = 2*t, 4*t = -x - 0 - 20. Let o = -36 - x. Let u = -23 - o. Solve -2*c + 8 = 0, 4*c - u - 5 = 5*g for g. 2 Suppose -3*j = 52*j - 275. Solve -15 = j*r, 5*r + 0*r = -c - 11 for c. 4 Let m(s) = s + 12. Let j be m(-22). Let q be (-5)/j*0 + 23. Solve 3*y - 5*v = -q + 1, 0 = -2*y + 2*v - 12 for y. -4 Let q(u) = -4*u**2 - 22*u + 17. Let y be q(-6). Solve 0 = 4*p - 5*b + 19, -b - 2 = y*p for p. -1 Let p = -791 + 796. Solve -p*c = -v - 17, -3*v - c + 2*c = -5 for v. 3 Let j = 16 + -7. Let a = j + -10. Let r be -2 + a*(-3 - 2). Solve 0 = -r*v - 3*c - 3, 0 = 4*v - c + 5 - 21 for v. 3 Suppose -5*g = 5*r - g + 6, -g = 2*r. Solve 4*y + 8 = 0, 2*a + 3*y = -r*y - 20 for a. -5 Let o be ((-36)/((-24)/(-4)))/(6/(-4)). Solve -1 = 4*b - 5, 5*i + 4*b = o for i. 0 Let x be (0 - (-40)/(-7))/(190/(-665)). Solve -3*o - 5*c = -x, 0 = c - 3*c + 8 for o. 0 Let o be -11*2*2/(-4). Solve -l + 5*l + 5*x - o = 0, 2*x - 2 = -l for l. 4 Suppose -3*z - 2 = -f, 3*z - 6 = 3*f - 0. Let y be 0 - z/(4/6). Solve -4*v + 45 = -5*u, y*v + 5*u = -0*u - 10 for v. 5 Let j(g) = -19*g + 152. Let w be j(8). Solve 4*k = 5*q + 29, 4*k + k - 2*q - 15 = w for k. 1 Suppose 3*u + 5 = -2*k + 13, 0 = -5*u + 3*k + 7. Solve y = 4*d + 19, 23*d - 21*d + 8 = u*y for y. -1 Let l(r) = -r**2 + 7*r - 6. Let z be l(5). Let f be (132/110)/(z/10). Solve -4*c = -g + 2*g - 18, 0 = 5*g - f*c + 2 for g. 2 Suppose -5*y = 3*i - i + 6, y = -2*i - 6. Let z be i/(-6) - (-5)/(-2). Let m be (-6)/z + (1 - 0). Solve 0 = -g + m*f - 0*f - 7, -4*g + 26 = 2*f for g. 5 Let h(p) = -p**2 + 4. Let g be h(-4). Let c = g - -8. Let w be -5*3*c/20. Solve 4*a - 19 = -b, 5*b - 2*a - w = a for b. 3 Let x = 64 - 60. Let f be 167/11 - x - (-4)/(-22). Solve -o = 5*a + 24, 2*a - f = 5*o + 1 for o. -4 Suppose l = -2*l - 5*z + 78, 0 = 5*z - 15. Let q be 2/(-7) - (-132)/l. Solve 0 = -5*j + i + 5 + q, -3*i = j + 1 for j. 2 Let y(g) be the first derivative of g**2 + 6*g + 1. Let q be y(-6). Let i be (q/(-2))/((-1)/(-5)). Solve -4*n + 0*o = o - i, 6 = 2*o for n. 3 Let n(g) = 12 + 11 - 41 - 3*g. Let s be n(-6). Solve -j + s*j + 6 = -3*q, -q = -j for j. -3 Let w(n) = n - 36. Let l be w(39). Solve -3*t + 0*o + 15 = -3*o, l*t + 4*o = -20 for t. 0 Suppose 271 - 172 = 33*p. Solve -4*y + 23 = q, 4*y + 1 = 2*q + p*y for q. 3 Suppose 0 = 46*x - 44*x + 450. Let b be 19/9 - (-25)/x. Solve -3*d = -2*i + 17 + 3, -b*d = -2*i + 16 for i. 4 Let k be 219/(-1095) + (-26)/(-5). Solve z + 3 = -w + k*w, 0 = -3*z + 4*w + 7 for z. 5 Suppose 4*y + 5*y - 108 = 0. Suppose y - 2 = 2*c. Solve 0 = -5*x - 2*m - 6 + 22, c*x - 3*m - 26 = 0 for x. 4 Suppose 0 = i - 4, i + 2 = 2*u - 3*i. Suppose 3*k + k = 3*w - u, k = -3*w + 9. Solve 4*x + 8 = k, 2*x = 4*s + 14 + 2 for s. -5 Suppose -5*k + 3*k + 22 = 0. Let x = k - 9. Solve -x*t - q - 1 = 0, 3 + 2 = -5*q for t. 0 Let a(g) = -g**2 + 11*g + 4. Let f be a(3). Let c = 32 - f. Solve -b - 4*v + 15 = 0, 2*b + v = c*b + 6 for b. -1 Let a(m) = 5*m + 135. Let q be a(-26). Solve -3*k - n = -q, 5*k + 5*n = 4 + 1 for k. 2 Suppose -207*b = -203*b - 20. Solve -21 = d + b*z, -2*d + 2*z = 6*z + 12 for d. 4 Suppose -f + 2 = 3*t, -t + 12*f - 4 = 10*f. Let y be 8/(-4*(-1)/6). Solve 3*z - z - y = 4*s, 5*s + 20 = t for z. -2 Let b be (0/2)/(69 + -63). Solve -5*n - 9 = -3*n + z, -4*z - 4 = b for n. -4 Suppose 2*k - 2*h - 4 = 0, 3*k + 3*h - 75 = -57. Solve k*y + 20 + 9 = 3*i, 0 = -2*i + 3*y + 21 for i. 3 Let v(w) be the first derivative of 1/3*w**3 + 5 + 2*w + 3*w**2. Let s be v(-6). Solve 0 = -s*q - q - a, -4*q = -a for q. 0 Suppose 7*m = 82 + 37. Let u be (17 - m)/(6/2). Suppose -4*g - 6 = -5*g. Solve -g = -u*q + q - t, 3*t = -3*q + 12 for q. -1 Suppose 3*p = 2*d - 232, -2*p = d + 217 - 74. Let v = 74 + p. Solve -3*q + v*u - 3*u = -12, 13 = q + 4*u for q. 1 Let u be 35*(-4)/(-17 + -11). Solve -v - u = -2*m, 6 = m + m - 2*v for m. 2 Suppose -12 = 3*v - 0*v + 3*q, 5*v + 4*q = -19. Let k = 3 + v. Suppose -14*s = -13*s - 20. Solve -5*n - 5*d = -s, -d = 3*n - k*d - 4 for n. 0 Let z be 204/(-8) + 3/6. Let a = z + 26. Solve q = -5*f - a, -f + q + 0 = 5 for f. -1 Let t be (-645)/(-165) + 1/11. Solve r = 2*d + 11 - 10, 20 = -t*d - 4*r for d. -2 Let x(r) = -12*r - 37. Let f(g) = -g - 2. Let j(l) = -3*f(l) + x(l). Let s be j(-4). Solve s*c + 0*t - 7 = -2*t, 5*c - t - 4 = 0 for c. 1 Let j = 103 + -49. Let d = 58 - j. Solve 4*n = 3*x - 7, d*x - 28 = -7*n + 3*n for x. 5 Suppo
{ "pile_set_name": "DM Mathematics" }
**2 - 21*c. -3*c*(c + 7) Determine y so that 14*y**4 - 640*y**3 - 198*y**2 + 640*y + 184 = 0. -1, -2/7, 1, 46 Factor -3*l**4 - 75*l**3 - 66*l**2 + 144*l. -3*l*(l - 1)*(l + 2)*(l + 24) Find b, given that 2*b**2 - 64*b - 66 = 0. -1, 33 Factor 75*f**3 + 122*f**2 + 45*f - 2. (f + 1)*(3*f + 2)*(25*f - 1) Factor 3*n**2 + 18*n - 21. 3*(n - 1)*(n + 7) Let 727657880*u**3 - 4150140*u**2 + 7890*u - 5 = 0. What is u? 1/526 Solve 4*g**5 - 80*g**4 + 169*g**3 + 121*g**2 - 272*g - 140 = 0. -1, -1/2, 2, 35/2 Solve -3*t**4/4 - 81*t**3/4 + 297*t**2/2 - 24*t - 792 = 0 for t. -33, -2, 4 Let -2*b**5/7 + 10*b**4/7 + 16*b**3/7 - 24*b**2/7 = 0. What is b? -2, 0, 1, 6 Factor -2*i**3/7 - 46*i**2/7 - 78*i/7 + 18. -2*(i - 1)*(i + 3)*(i + 21)/7 Factor r**2/5 + 12*r/5 + 4. (r + 2)*(r + 10)/5 Suppose -30*y**4/13 + 226*y**3/13 + 116*y**2/13 - 32*y/13 = 0. What is y? -2/3, 0, 1/5, 8 Factor -3*u**3/2 + 33*u**2/2 + 24*u - 264. -3*(u - 11)*(u - 4)*(u + 4)/2 Determine y, given that 50*y**5/23 - 630*y**4/23 - 1708*y**3/23 - 1356*y**2/23 - 358*y/23 - 30/23 = 0. -1, -1/5, 15 Factor c**3/2 + 15*c**2/2 + 63*c/2 + 49/2. (c + 1)*(c + 7)**2/2 Factor p**5 - 45*p**4 - 3*p**3 + 133*p**2 + 90*p. p*(p - 45)*(p - 2)*(p + 1)**2 Factor 3*b**5/5 - 18*b**3/5 + 24*b**2/5 - 9*b/5. 3*b*(b - 1)**3*(b + 3)/5 Factor -z**2 - 53*z. -z*(z + 53) Factor 2*j**3/13 + 96*j**2/13 - 750*j/13 + 1100/13. 2*(j - 5)*(j - 2)*(j + 55)/13 Suppose 5*h**5 - 425*h**4 + 9650*h**3 - 26450*h**2 + 25625*h - 8405 = 0. Calculate h. 1, 41 Factor -5*g**3 + 15*g**2 + 200*g. -5*g*(g - 8)*(g + 5) Factor -z**4 - 38*z**3 + 79*z**2 - 40*z. -z*(z - 1)**2*(z + 40) Suppose -4*i**5 - 716*i**4 - 43192*i**3 - 905768*i**2 - 1684804*i - 821516 = 0. What is i? -59, -1 Determine q so that q**2/5 - q/5 - 42/5 = 0. -6, 7 Find l, given that -2*l**2/3 + 96*l - 2926/3 = 0. 11, 133 Determine c so that -2*c**3/13 - 308*c**2/13 - 6050*c/13 - 31944/13 = 0. -132, -11 What is z in -9*z**4 + 96*z**3 - 277*z**2 + 154*z - 24 = 0? 1/3, 4, 6 Suppose -1250*r**4/7 - 1970*r**3/7 - 202*r**2/7 + 506*r/7 - 12/7 = 0. Calculate r. -1, 3/125, 2/5 Let -4*z**4/5 - 3*z**3/5 + 49*z**2/5 - 12*z/5 = 0. Calculate z. -4, 0, 1/4, 3 Determine x so that 2*x**3/3 + 118*x**2 - 120*x - 712/3 = 0. -178, -1, 2 Suppose 5*b**3 + 35*b**2 + 40*b - 80 = 0. What is b? -4, 1 Find o such that -o**2/4 - 1765*o/2 - 3115225/4 = 0. -1765 Find d, given that d**5/3 + 8*d**4/3 + 6*d**3 - 9*d = 0. -3, 0, 1 Find s, given that 4*s**5 - 156*s**4 - 328*s**3 = 0. -2, 0, 41 Factor -2*j**2/9 + 10*j/9 + 8. -2*(j - 9)*(j + 4)/9 Factor -f**5 - 9*f**4 - 26*f**3 - 18*f**2 + 27*f + 27. -(f - 1)*(f + 1)*(f + 3)**3 Factor -3*u**4 + 21*u**2 + 18*u. -3*u*(u - 3)*(u + 1)*(u + 2) Factor 4*h**3 + 188*h**2 + 668*h - 860. 4*(h - 1)*(h + 5)*(h + 43) Solve -3*p**5/5 - 3*p**4/5 + 24*p**3/5 + 36*p**2/5 = 0. -2, 0, 3 Factor 2*q**2/11 - 92*q/11 + 90/11. 2*(q - 45)*(q - 1)/11 Determine i so that 2*i**3/3 + 8*i**2/3 = 0. -4, 0 Determine h, given that 2*h**5/11 + 32*h**4/11 + 160*h**3/11 + 256*h**2/11 = 0. -8, -4, 0 Solve c**5 + 38*c**4 - 79*c**3 + 40*c**2 = 0. -40, 0, 1 Factor 7*f**4/2 - 34*f**3 + 43*f**2/2 + 9*f. f*(f - 9)*(f - 1)*(7*f + 2)/2 Factor 4*z**3/7 - 4*z**2/7 - 8*z/7. 4*z*(z - 2)*(z + 1)/7 Solve 3*o**3/7 - 30*o**2/7 + 69*o/7 - 6 = 0 for o. 1, 2, 7 What is i in -i**2 - 9*i + 10 = 0? -10, 1 Determine w, given that -44*w**4/5 + 168*w**3/5 - 144*w**2/5 - 32*w/5 = 0. -2/11, 0, 2 Let n**4/4 + 7*n**3/2 + 33*n**2/4 - n - 11 = 0. Calculate n. -11, -2, 1 Suppose -2*a**5 + a**4 + 11*a**3 + 11*a**2 + 3*a = 0. What is a? -1, -1/2, 0, 3 Factor -i**4/2 - 7*i**3/2 - 13*i**2/2 + 3*i/2 + 9. -(i - 1)*(i + 2)*(i + 3)**2/2 Suppose 4*o**4/5 + 12*o**3/5 - 352*o**2/5 = 0. Calculate o. -11, 0, 8 Factor -2*h**2 + 4*h - 2. -2*(h - 1)**2 Let -2*m**4/3 - 346*m**3/3 - 15470*m**2/3 - 14450*m = 0. Calculate m. -85, -3, 0 Let -3*x**4/7 - 90*x**3/7 - 828*x**2/7 - 2262*x/7 - 1521/7 = 0. What is x? -13, -3, -1 Let 3*r**5 + 10*r**4 - 236*r**3 + 824*r**2 - 1024*r + 384 = 0. What is r? -12, 2/3, 2, 4 Solve -2*o**4/7 + 204*o**3/7 - 3944*o**2/7 + 7284*o/7 - 506 = 0. 1, 23, 77 Factor 2*i**5 - 14*i**4 + 32*i**3 - 24*i**2. 2*i**2*(i - 3)*(i - 2)**2 Let 2*i**2/3 - 220*i/3 + 214 = 0. Calculate i. 3, 107 Suppose a**3/3 - 4*a**2/3 - a + 6 = 0. What is a? -2, 3 Factor 5*n**5 - 5*n**4 - 310*n**3 + 1140*n**2 - 1080*n. 5*n*(n - 6)*(n - 2)**2*(n + 9) Find b, given that -3*b**3/2 + b**2/4 + 6*b - 1 = 0. -2, 1/6, 2 Determine x, given that 18*x**4 - 771*x**3 + 1365*x**2 - 489*x - 123 = 0. -1/6, 1, 41 Factor -2*p**3/15 + 10684*p**2/15 + 21374*p/15 + 10688/15. -2*(p - 5344)*(p + 1)**2/15 Factor -5*o**3 + 60*o**2 - 1280. -5*(o - 8)**2*(o + 4) Factor -y**3/3 - 19*y**2 + 748*y/3. -y*(y - 11)*(y + 68)/3 Determine s so that -s**5 + 8*s**4 + 26*s**3 - 172*s**2 - 385*s - 196 = 0. -4, -1, 7 Factor -4*z**4 - 16*z**3 + 72*z**2 + 432*z + 540. -4*(z - 5)*(z + 3)**3 Factor -a**2/5 + 5*a - 24/5. -(a - 24)*(a - 1)/5 Determine b, given that -2*b**3 - 52*b**2 + 54*b = 0. -27, 0, 1 What is x in -3*x**2 - 657*x = 0? -219, 0 Factor 3*z**2 + 36*z - 1092. 3*(z - 14)*(z + 26) Solve 2*i**2/5 + 968*i/5 + 117128/5 = 0 for i. -242 Let 2*j**3 - 40*j**2 + 136*j - 128 = 0. Calculate j. 2, 16 Determine f so that 150*f**3/7 - 40*f**2/7 + 8*f/21 = 0. 0, 2/15 Suppose -12*x**4 - x**3 = 0. Calculate x. -1/12, 0 Let j**2/5 - 16*j/5 = 0. Calculate j. 0, 16 Factor i**2/5 - 182*i/5 + 8281/5. (i - 91)**2/5 Let -u**4/3 - u**3/3 + 17*u**2/3 + 7*u - 12 = 0. What is u? -3, 1, 4 Determine a so that 2*a**4/3 - 10*a**3 - 196*a**2/3 - 32*a + 320/3 = 0. -4, -2, 1, 20 What is r in -2*r**4 + 2*r**3 + 14*r**2 - 2*r - 12 = 0? -2, -1, 1, 3 What is g in g**5 + 64*g**4 + 1536*g**3 + 16384*g**2 + 65536*g = 0? -16, 0 Determine h, given that h**3/5 + 21*h**2/5 + 147*h/5 + 343/5 = 0. -7 Suppose -2*y**2 - 78*y + 752 = 0. What is y? -47, 8 Suppose -h**3/4 + 13*h**2/4 - 51*h/4 + 63/4 = 0. What is h? 3, 7 Factor z**3/10 - 1671*z**2/10 + 3339*z/10 - 1669/10. (z - 1669)*(z - 1)**2/10 What is p in -p**4/6 - 63*p**3/2 - 3969*p**2/2 - 83349*p/2 = 0? -63, 0 Factor 5*h**3 - 35*h**2 - 245*h + 275. 5*(h - 11)*(h - 1)*(h + 5) Suppose -114264*n**2/11 - 11592*n/11 - 294/11 = 0. What is n? -7/138 Find l such that -36*l**4 + 1056*l**3 + 4280*l**2 + 2496*l + 396 = 0. -3, -1/3, 33 Solve 3*j**4/5 - 12*j**3/5 - 147*j**2/5 - 312*j/5 - 36 = 0. -3, -2, -1, 10 Suppose 2*b**3 + 34*b**2/3 - 164*b/3 + 48 = 0. What is b? -9, 4/3, 2 Factor 4*x**2 + 164*x. 4*x*(x + 41) Find u such that -3*u**4/5 - 42*u**3/5 + 3*u**2/5 + 42*u/5 = 0. -14, -1, 0, 1 Factor -t**5/3 - 95*t**4/3 - 736*t**3 + 768*t**2. -t**2*(t - 1)*(t + 48)**2/3 Solve 3*q**4 - 27*q**3 + 63*q**2 - 57*q + 18 = 0 for q. 1, 6 Let 4*k**3 - 3388*k**2 + 715712*k + 719104 = 0. Calculate k. -1, 424 Factor -5*h**4 - 325*h**3 - 1795*h**2 - 1475*h. -5*h*(h + 1)*(h + 5)*(h + 59) Find h, given that 18*h**4/5 + 14*h**3/5 - 22*h**2/5 - 14*h/5 + 4/5 = 0. -1, 2/9, 1 Factor 3*d**2 - 111*d - 492. 3*(d - 41)*(d + 4) Factor 5*c**2 + 390*c. 5*c*(c + 78) Determine k, given that -5*k**3 - 170*k**2 - 1425*k - 1260 = 0. -21, -12, -1 Let -2*h**2/13 + 106*h/13 = 0. Calculate h. 0, 53 Let 4*h**2 + 24*h - 160 = 0. What is h? -10, 4 Factor 5*o**4 + 45*o**3 + 40*o**2. 5*o**2*(o + 1)*(o + 8) Find m such that m**5 + 34*m**4 + 255*m**3 + 350*m**2 - 256*m - 384 = 0. -24, -8, -2, -1, 1 Factor 3*k**5 - 15*k**4 + 9*k**3 + 27*k**2. 3*k**2*(k - 3)**2*(k + 1) Factor -o**2/4 - 7*o/4 + 247/2. -(o - 19)*(o + 26)/4 Factor -2*v**2/5 - 102*v/5 - 196/5. -2*(v + 2)*(v + 49)/5 Factor 49*l**2/6 + 938*l + 26934. (7*l + 402)**2/6 Factor -4*f**2 + 1288*f - 103684. -4*(f - 161)**2 Factor -2*o**3/13 - 70*o**2/13 - 256*o/13 - 248/13. -2*(o + 2)**2*(o + 31)/13 Solve -2*n**2/5 - 68*n/5 - 336/5 = 0 for n. -28, -6 Let -2*r**5/9 + 20*r**4/9 + 46*r**3/9 + 8*r**2/3 = 0. Calculate r. -1, 0, 12 Solve -2*d**2/9 + 62*d/9 + 64/9 = 0. -1, 32 Determine c, given that 3*c**4/2 + 79*c**3/2 + 295*c**2 + 514*c + 140 = 0. -14, -10, -2, -1/3 Let -64*c**3 - 96*c**2 + 60*c - 8 = 0. What is c? -2, 1/4 Factor 4*p**3 - 4296*p**2 + 1537968*p - 183530848. 4*(p - 358)**3 Find n such that -3*n**5 - 18*n**4 - 3*n**3 + 72*n**2 + 60*n = 0. -5, -2, -1, 0, 2 Factor x**2 + 7*x + 6. (x + 1)*(x + 6) Determine q so that -83*q**4/5 + 167*q**3/5 + 66*q**2 - 668*q/5 + 8/5 = 0. -2, 1/83, 2 Factor 2*v**2/5
{ "pile_set_name": "DM Mathematics" }
et m = 3986071/12 + -331932. Let z = m - 237. What is the common denominator of (-1 - 58)/(1*15) and z? 60 Suppose -18*h + 2038 = -482. Calculate the common denominator of ((-275)/h - -1 - -1)*-110 and 37/68. 476 Let o = -52 - -58. Find the common denominator of o/(-12)*123/36 and 23/42. 168 Let c(b) = -b + 2. Let z be c(-1). Let v be (3 + z + 31/(-3))*21. Calculate the common denominator of 20/33 and 1/(-9)*v*(-12)/(-63). 297 Let h = -40339/17530 + 2/1753. Suppose 0*o + 3*o = -2*w + 1628, -3220 = -4*w + 3*o. Let s = -7313/9 + w. Find the common denominator of s and h. 90 Suppose 2*h - 5*h = 2*r + 49, 3*h = -5*r - 127. Let g = r - -31. Suppose -19 = -g*v - 9. What is the smallest common multiple of 22 and v? 22 Let w = -2178 + 5241. Suppose -8*z + 3093 = -5*z - 3*u, 3*u - w = -3*z. Find the common denominator of 8/(-6)*z/(-36) and -64/3. 3 Let a = -1308457334/1933 - -676905. Calculate the common denominator of a and 53/4. 7732 Suppose -8 = q + 4*g, 4*q - g + 8 = -5*g. Suppose 6*r + q*r = 12. Suppose -5*w = -l + 41, r*l - 3*w + 5*w = 22. What is the lowest common multiple of l and 14? 112 Suppose -22*h + 49729 + 144617 = 39*h. What is the lowest common multiple of 2 and h? 3186 Let i be 16/3*(-1916)/(-760). Let y = -805/9 + 15508/171. Let z = y - i. What is the common denominator of 53/30 and z? 30 Let f = 31302/7 + -940103/210. Calculate the common denominator of f and 4 - 6 - 202/36. 90 Let y(d) = -d**2 + 28*d + 107. Let o be y(31). Let x(v) = 8*v**2 + 4*v + 2. Calculate the least common multiple of x(-2) and ((-2)/(-4))/(o/504). 234 Let u(q) = -2*q**2 - 42*q - 22. Let t be u(-19). Suppose 0 = -t*k + 555 - 15. Calculate the lowest common multiple of (-1 - -2)/(1/68) and k. 340 Let m = -463 - -475. Calculate the common denominator of 89/16 and (-135)/24*5/m. 32 Suppose 5 = -2*r + r - d, -4*d = 2*r. Let n be -3 + (4/r - (-32)/5). Suppose 2*b + 5*l + 6 = 19, -3*l = n. What is the least common multiple of b and 3? 9 Suppose 5*w - 40 = 4*q, 5*q = -2*w + 2 - 19. Find the common denominator of (9/375)/(-5*w/(-650)) and -43/14. 350 Let m be ((-38921)/(-76))/(((-21)/12)/7). Let z = -2049 - m. Find the common denominator of 3 - 3 - 39/(-4) and z. 76 Let k be 9/(-7) - (-8)/28. Let b(n) = -6*n + 44. Let t be b(9). What is the smallest common multiple of 4 and -2 - (k - 0) - (-20 - t)? 36 Let j = 209 - 1838/9. What is the common denominator of j and -2*(-193)/645 - 4/30*1? 387 Let d = 96 + -106. Calculate the smallest common multiple of (d - -24) + (2 - 4) and 28. 84 Suppose 9*p = 376 + 4574. Let a = 30799/56 - p. Calculate the common denominator of a and -35/16. 112 Let d = 958243/40 - 23954. What is the common denominator of 22/285 and d? 2280 Suppose -89 - 25 = -2*w. Let j(p) = -p - 3. Let h(m) = -m**3 + 5*m**2 - 4*m + 9. Let b be h(5). What is the lowest common multiple of w and j(b)? 456 Calculate the common denominator of -41/240 and (-19195)/(-3300) - (-1 + 4). 240 Suppose 5*z - 1761 = -3*t + 475, -4*t + 2990 = -2*z. Let w = 12763900 - 472236655/37. Let h = t - w. What is the common denominator of 45/4 and h? 148 Let v = -10488 - -11296. What is the lowest common multiple of 202 and v? 808 Let l(m) = 2*m**3 + 20*m**2 - 2*m + 20. Let c(x) = -x**3 - x**2 + x + 1. Let r(f) = c(f) + l(f). What is the lowest common multiple of 4 and r(-19)? 40 Let m = -667109/3381800 + -3/91400. Find the common denominator of m and 97/814. 4070 Suppose -1240 = -997*f + 987*f. What is the lowest common multiple of 18 and f? 1116 Let a = -1938 - -4008. Calculate the lowest common multiple of a and 552. 8280 Let w be 10265/(-398)*63/210. Let c = w - 5/398. What is the common denominator of 61/8 and c? 8 What is the common denominator of (0 - -7) + (-1187208)/168960 and 121/624? 24960 Suppose -2*t = 14 - 18. What is the lowest common multiple of t and 28? 28 Suppose -2*y + 129 = -y. Suppose -27 + 75 = r + 2*j, -3*r + y = 3*j. Let m = r - 194/5. Find the common denominator of m and 36. 5 Let g = 4132 - 248023/60. Calculate the common denominator of g and 11118/68*(-2)/(-120) + 9/72. 60 Calculate the common denominator of -97/24 and (-33)/((-4158)/12) - 229/1218. 4872 Suppose -156*x = -149*x - 350. Let r = x + 38. What is the lowest common multiple of r and 55? 440 Let q = -4459296 + 1319954365/296. Let r be -51*((-654)/(-333) - 2). Let v = r + q. Calculate the common denominator of v and 47/34. 136 Let b = -7448/895 + -14/179. Let c = 2465 + -391957/159. Let q = c + 3581/1749. Calculate the common denominator of q and b. 55 Calculate the common denominator of ((-20)/6 + 3)*(32 + -14 - 48) and -77/36. 36 Let k be (-4)/1 - (19760/(-7))/(-13). Let u = 3009/14 + k. Calculate the common denominator of 27/22 and u. 154 Find the common denominator of -67/150 and 94/(-329) + 2 + (-1767)/700. 300 Let y = 185 - 234. Calculate the common denominator of -29/7 and (47/y)/(120/(-35)). 168 Calculate the smallest common multiple of 952 and (4/(-6))/((-3531)/504 - (-21)/3). 1904 Let w = 44311 + -44177. Let x be (3/(-2))/(12/(-16)). Let n(k) = 6*k**2 - 3*k + 2. Calculate the lowest common multiple of n(x) and w. 1340 Let f(b) = 13*b - 7. Suppose 243*i - 1299 + 1496 = 4571. Calculate the lowest common multiple of i and f(7). 252 Let d(h) be the first derivative of -h**3/3 + 4*h**2 - 4*h - 3. Let l be d(5). Let f(m) = m**2 - 8*m - 12. Calculate the common denominator of f(l) and 73/39. 39 Find the common denominator of 4/1311 and ((-333)/621)/((-24)/4 + 1 - -2). 3933 Let s(b) = 7*b + 10. Let t be s(-4). Calculate the least common multiple of (-780)/t - (-2)/3 and 4/(32/6) + 3454/88. 440 Suppose -2*z = -30*z - 10*z + 39102. What is the lowest common multiple of z and 42? 2058 Let c(j) = j**2 + 15*j + 4. Let t be c(-17). Let s = -33 + t. Suppose -7*k + 90 = 3*f - 3*k, -s*f + 150 = 5*k. Calculate the least common multiple of f and 20. 60 Suppose 0*t + t - 2*h = -20, -2*h = 4*t + 30. Let f be t/8*2*(-5)/2205. Let r = 11603/1764 + f. Calculate the common denominator of -79/36 and r. 36 Let z = -534 + 5243/10. Suppose -x = 5*c + 3*x - 7, -x + 3 = 0. Find the common denominator of z and (-16)/200*c*(-135)/4. 10 Let p(g) = -3*g**3 - 107*g**2 - 71*g + 5. Calculate the smallest common multiple of p(-35) and 75. 600 Suppose 28*o + 186129 = 438*o - 63151. What is the least common multiple of o and 456? 1824 Let o = 18821 - 18816. Suppose 0*r = -5*r + 125. Calculate the lowest common multiple of r and o. 25 Let m be 12/66 + 48/(-22). Let l be m - ((-1058)/1260 + -1). Let k = l + -34/63. Find the common denominator of 51/4 and k. 20 Calculate the common denominator of -83/90 and (6/21 - (-30412)/(-4032)) + 7. 720 Let q(d) be the third derivative of -d**4/24 - 7*d**3/2 + 27*d**2. Let z be q(-15). Calculate the common denominator of 4 + ((-27)/360)/(z/(-404)) and -45/4. 20 Let r = -38/187 - -121670/2431. Let d = -17/26 - r. Find the common denominator of -27/250 and d. 250 Let v = 25342 - 75980/3. Let y = 1219/777 + 2/777. Calculate the common denominator of y and v. 21 Suppose -2*m + 57 - 17 = 0. Suppose 0 = 3*n - 4 - m. Calculate the least common multiple of n and 40. 40 Let m = -80575535 - -1450718975/18. Let c = m - 19969. Calculate the common denominator of 91/74 and c. 666 What is the common denominator of -5 + 10000/3456*2 and 133/396? 1188 Let d = -4899 + 3399. What is the common denominator of 170/(-44) + 16/4 and (1925/d)/((-4)/6)? 440 Let a = -11444 - -2540603/222. Calculate the common denominator of a and (1 + (-46)/48)/((-135)/(-180)). 666 Let n be (-1*7/(-19260))/(196/5553464). Let x = n - -2/963. What is the common denominator of ((-1)/(-4))/((-21)/(-102)) and x? 70 Let x = 1/18295 - -2177093/219540. Let f be (3/(-9))/((-12)/(-501)). Let r = f - x. What is the common denominator of 42/5 and r? 30 Let j be (0 - -4)*1134/56. Suppose 89 + j = 10*x. What is the lowest common multiple of x and 1? 17 Suppose 0 = -40*w + 37*w. Calculate the common denominator of -5*(w + 22/25) and -28/173. 865 Let b be 20451/(-6 - -9)*1. Let a = -136373/20 + b. What is the common denominator of a and 125/54? 540 Let t be 5*2*(-8)/(-16). Suppose 5*b + 35 = 5*w + 2*b, b = -t*w + 35. What is the least common multiple of w and 85? 595 Let w be 8*(-6)/(-24) + 3*-1. Let h be (w + 1)/(8/(-4)). Suppose h = -k + 4*m + 7, 7
{ "pile_set_name": "DM Mathematics" }
ithout replacement from wwwwhwwwhwh. 28/165 Four letters picked without replacement from {u: 4, h: 1, i: 1, k: 1, s: 1}. What is prob of sequence kuui? 1/140 What is prob of sequence jxj when three letters picked without replacement from djvxxxexeeddjxxxdej? 7/969 What is prob of sequence uttt when four letters picked without replacement from uuttt? 1/10 What is prob of sequence ho when two letters picked without replacement from vhoovooooovooooo? 1/20 Two letters picked without replacement from {z: 2, w: 2}. What is prob of sequence zz? 1/6 What is prob of sequence ww when two letters picked without replacement from wwwwwfwwwwv? 36/55 Calculate prob of sequence pw when two letters picked without replacement from {s: 4, w: 1, p: 7, y: 3, q: 3}. 7/306 Three letters picked without replacement from {i: 11, g: 5}. What is prob of sequence ggg? 1/56 Two letters picked without replacement from kkkckckkkkk. What is prob of sequence ck? 9/55 Three letters picked without replacement from {x: 11, o: 3}. Give prob of sequence xxo. 55/364 Four letters picked without replacement from {y: 2, l: 4, c: 1, f: 6, b: 2, s: 3}. What is prob of sequence ylcy? 1/9180 Calculate prob of sequence jc when two letters picked without replacement from ajaocoaacaa. 1/55 Two letters picked without replacement from {u: 3, h: 3, p: 5, e: 1, a: 1}. What is prob of sequence he? 1/52 Three letters picked without replacement from hhhshhhh. What is prob of sequence hhs? 1/8 Calculate prob of sequence gcgg when four letters picked without replacement from {c: 8, g: 3}. 1/165 Three letters picked without replacement from xogttgttotto. What is prob of sequence txo? 3/220 Calculate prob of sequence ov when two letters picked without replacement from oooovoooovoooooooo. 16/153 What is prob of sequence amm when three letters picked without replacement from sgwmsmmagmmmwsmwlsw? 7/969 Four letters picked without replacement from nnnnnnnt. What is prob of sequence tnnn? 1/8 Two letters picked without replacement from gjprryfrgyjyppp. Give prob of sequence pf. 2/105 What is prob of sequence wk when two letters picked without replacement from pxaxaxpkxxppawp? 1/210 Calculate prob of sequence rsr when three letters picked without replacement from {r: 3, s: 5}. 5/56 Two letters picked without replacement from cwwcccccwcc. Give prob of sequence cw. 12/55 Four letters picked without replacement from {m: 1, h: 7}. What is prob of sequence hhhm? 1/8 Two letters picked without replacement from hhkkhhhhhhhhhhhhhh. What is prob of sequence hh? 40/51 Three letters picked without replacement from {f: 4}. Give prob of sequence fff. 1 Three letters picked without replacement from {p: 3, k: 4, s: 3, c: 7, y: 1}. Give prob of sequence ssy. 1/816 Calculate prob of sequence qyu when three letters picked without replacement from yyuyqyuq. 1/21 Three letters picked without replacement from {u: 1, a: 1, j: 1, g: 2, w: 1, y: 1}. Give prob of sequence wgg. 1/105 Calculate prob of sequence vc when two letters picked without replacement from cvvlvlvlv. 5/72 Calculate prob of sequence zzz when three letters picked without replacement from {z: 4}. 1 Two letters picked without replacement from {c: 6, p: 12}. Give prob of sequence cc. 5/51 Three letters picked without replacement from mjmvysm. Give prob of sequence smy. 1/70 Calculate prob of sequence nffn when four letters picked without replacement from {n: 9, f: 11}. 22/323 Calculate prob of sequence qpx when three letters picked without replacement from xqvsp. 1/60 Two letters picked without replacement from yldzuyb. Give prob of sequence du. 1/42 Four letters picked without replacement from {v: 6, h: 7}. What is prob of sequence hvhh? 21/286 Four letters picked without replacement from {n: 7, v: 2, r: 4, x: 1}. Give prob of sequence vvxn. 1/1716 Three letters picked without replacement from ohosb. Give prob of sequence shb. 1/60 Four letters picked without replacement from pipvpvbbppbbrpvbrbbv. Give prob of sequence ppbb. 7/646 What is prob of sequence ppbj when four letters picked without replacement from {b: 1, j: 1, p: 12}? 1/182 What is prob of sequence qf when two letters picked without replacement from hfzfqssq? 1/14 Two letters picked without replacement from paaaggabgpabggzbgppb. What is prob of sequence ga? 3/38 Calculate prob of sequence tptf when four letters picked without replacement from aafpttpttffpatafappf. 25/5814 What is prob of sequence phs when three letters picked without replacement from {h: 1, n: 1, s: 5, p: 2}? 5/252 Three letters picked without replacement from {j: 2, u: 6, o: 2, v: 2}. What is prob of sequence voo? 1/330 Calculate prob of sequence oeoo when four letters picked without replacement from {e: 5, o: 9}. 15/143 Three letters picked without replacement from jxxaaaaxajjjaajxj. Give prob of sequence aaa. 7/136 Two letters picked without replacement from hhjtturj. Give prob of sequence ur. 1/56 Four letters picked without replacement from {z: 3, w: 3, m: 1}. What is prob of sequence zwzz? 3/140 Calculate prob of sequence hj when two letters picked without replacement from {f: 4, h: 2, j: 4, e: 1}. 4/55 What is prob of sequence qq when two letters picked without replacement from qqqqqqqqqxqq? 5/6 What is prob of sequence ff when two letters picked without replacement from {f: 4, t: 2, k: 2, g: 2}? 2/15 Three letters picked without replacement from ewvmwbvn. Give prob of sequence ebm. 1/336 What is prob of sequence dmn when three letters picked without replacement from andmaauudnmnmu? 3/364 Two letters picked without replacement from ckkykyyykkc. Give prob of sequence cc. 1/55 What is prob of sequence dxxd when four letters picked without replacement from xdxddxddxxxx? 7/99 Four letters picked without replacement from {c: 5, w: 3, o: 2, i: 10}. What is prob of sequence iiwo? 3/646 Two letters picked without replacement from ezrrrrrrerzj. Give prob of sequence re. 7/66 Calculate prob of sequence avg when three letters picked without replacement from {f: 2, p: 3, v: 3, g: 2, a: 3}. 3/286 Four letters picked without replacement from nununuu. What is prob of sequence unun? 3/35 Calculate prob of sequence ckn when three letters picked without replacement from kkpbkkpcnckvn. 5/429 Calculate prob of sequence mx when two letters picked without replacement from {x: 1, m: 1, o: 3, r: 1, e: 1}. 1/42 Calculate prob of sequence hfw when three letters picked without replacement from {j: 1, w: 1, u: 1, h: 1, f: 1}. 1/60 Calculate prob of sequence pi when two letters picked without replacement from ppipggig. 3/28 Calculate prob of sequence wwhu when four letters picked without replacement from wwcwxwhwwwwcxwuwbw. 11/7344 Three letters picked without replacement from kkussa. Give prob of sequence kaa. 0 What is prob of sequence lt when two letters picked without replacement from prlpqpqtptptq? 1/52 What is prob of sequence yy when two letters picked without replacement from yyttyyy? 10/21 Three letters picked without replacement from {q: 1, x: 1, i: 3}. What is prob of sequence xqi? 1/20 Two letters picked without replacement from rllrj. Give prob of sequence jl. 1/10 Four letters picked without replacement from pgpbbbpgp. Give prob of sequence pggp. 1/126 Calculate prob of sequence ucl when three letters picked without replacement from jjjcjujjjljjnkl. 1/1365 What is prob of sequence ovo when three letters picked without replacement from {n: 3, x: 3, v: 1, o: 4}? 2/165 Calculate prob of sequence qe when two letters picked without replacement from fegqqqhqffq. 1/22 Calculate prob of sequence jd when two letters picked without replacement from {x: 6, d: 4, j: 1}. 2/55 Four letters picked without replacement from {r: 2, o: 3}. Give prob of sequence ooor. 1/10 Two letters picked without replacement from pppptbpyypyppp. What is prob of sequence yp? 27/182 Calculate prob of sequence kkpk when four letters picked without replacement from {p: 4, k: 4, w: 3}. 2/165 Calculate prob of sequence wi when two letters picked without replacement from iwaah. 1/20 Calculate prob of sequence jl when two letters picked without replacement from {l: 1, j: 2, x: 1}. 1/6 Calculate prob of sequence po when two letters picked without replacement from crpcjujcurorrcr. 1/2
{ "pile_set_name": "DM Mathematics" }
d derivative of w(p) wrt p? 36*p**2 Let q(b) be the first derivative of b**9/252 + b**5/60 - b**2 - 4. Let f(r) be the second derivative of q(r). Find the third derivative of f(g) wrt g. 240*g**3 Suppose 3*w - 4 = -n + 4*w, 0 = 4*w + 4. What is the first derivative of -7 + 10*d**3 + 2 - 4*d**3 + 2*d**n wrt d? 24*d**2 Let n = -4 + 6. Suppose -n*v + 3 = -1. Differentiate -v - 3*u**2 - 4*u + 4*u wrt u. -6*u Let f(b) = -b**3 - 5*b**2 - 5*b - 5. Let s be f(-4). Let c = s - -3. Differentiate 0*l**c + 2 - 1 - l**2 with respect to l. -2*l Suppose -5 = -2*r + 3. Suppose -r*o + 4 + 4 = 0. What is the third derivative of z**o + 1 - 3*z**5 - 1 - 4*z**2 wrt z? -180*z**2 Find the third derivative of -a**4 - a**2 + 2*a**2 + 13*a**4 wrt a. 288*a Let v(m) = -m**2 + m - 1. Let j(t) = -9*t**2 + 6*t. Let o(i) = -j(i) + 6*v(i). What is the derivative of o(b) wrt b? 6*b Suppose 3*j - 9 = -3. Suppose 3*w - j*w = 3, 0 = -y + 3*w - 6. Find the second derivative of -z + 0*z**3 + 0*z**3 + z**y - 3*z**3 wrt z. -12*z Find the second derivative of -8*u**2 - 6*u**2 + 24*u**2 - 12*u wrt u. 20 Let g(o) = o. Let x be g(5). Find the second derivative of 2*y**5 - x*y**5 + 6*y + 2*y**5 - 5*y wrt y. -20*y**3 Suppose v + 5*x = 24, v = 5*x - 1 - 15. What is the second derivative of -4*r**3 + 4*r**3 + v*r + 4*r**5 wrt r? 80*r**3 What is the third derivative of -2*n**2 - 7*n**4 + 0*n**2 + 6*n**2 + n**2 wrt n? -168*n Let k(c) = -c**3 - 7*c**2 + 6*c. Let x(m) = m**3 + 8*m**2 - 7*m. Let q(g) = 7*k(g) + 6*x(g). What is the third derivative of q(i) wrt i? -6 Let j(l) be the third derivative of -l**8/56 + 7*l**5/60 - 6*l**2. What is the third derivative of j(p) wrt p? -360*p**2 Let t be (6/(-4))/((-3)/6). Suppose -t*z - 2*p - 4 = 0, -3*z + 3*p + 2*p = -10. Find the third derivative of 6*k**2 + z*k**2 - k**5 - 4*k**2 wrt k. -60*k**2 Suppose 0 = -5*u + 4*j - 12, 0*u - 2*u = j - 3. Suppose u = -x + 2 - 0. What is the derivative of x*y - 2 - 2*y**2 - 2*y wrt y? -4*y Differentiate 3*d - 342 - 2*d**2 + 11*d + 2*d + 305 with respect to d. -4*d + 16 Let m(u) be the second derivative of 13*u**5/10 - 3*u**3 + 31*u. Find the second derivative of m(b) wrt b. 156*b Let w be 4/14 + 12/7. What is the third derivative of c**w + 2*c**6 + 3*c**2 - 11 + 11 wrt c? 240*c**3 What is the derivative of 3 + 0*x + 3*x + 31*x + 21 wrt x? 34 Let v(a) = 28*a**3 - 3*a + 5. Let y(p) = 27*p**3 - 2*p + 6. Let g(h) = 2*v(h) - 3*y(h). Differentiate g(i) wrt i. -75*i**2 Let z(k) = 17*k**4 + 6*k**2 + 2*k - 4. Let q(n) = -16*n**4 - 8*n**2 - 3*n + 4. Let a(c) = 3*q(c) + 4*z(c). Find the second derivative of a(t) wrt t. 240*t**2 Let b(i) be the first derivative of i**7/70 - i**4/12 - i**2 - 3. Let n(f) be the second derivative of b(f). What is the second derivative of n(k) wrt k? 36*k**2 Let q(b) be the first derivative of b**5 + 2*b - 6. Find the first derivative of q(m) wrt m. 20*m**3 Let g(u) be the first derivative of 4*u**5/5 + 6*u**2 - 8. What is the second derivative of g(x) wrt x? 48*x**2 Let a(n) be the second derivative of 25*n**3/6 - 31*n**2/2 - 30*n. What is the derivative of a(g) wrt g? 25 What is the third derivative of -w**3 - 5*w**2 + w**2 - 19*w**3 wrt w? -120 What is the derivative of d - 24 + 53 - 44 wrt d? 1 Let x(g) be the second derivative of g**6/15 + g**4/6 + 7*g. Find the third derivative of x(m) wrt m. 48*m Let f(j) be the second derivative of 0*j**3 - 1/6*j**4 + j + 0*j**2 + 0 + 1/42*j**7 + 0*j**5 + 0*j**6. What is the third derivative of f(l) wrt l? 60*l**2 Let i(j) = -10*j + 1. Let l(n) = -n + 2. Let k(d) = 3*d - 7. Let f(s) = 2*k(s) + 7*l(s). Let q(o) = -22*f(o) + 2*i(o). What is the derivative of q(t) wrt t? 2 Let q(f) be the second derivative of -1/12*f**4 + 2*f - 3/2*f**2 + 0 + 0*f**3. Differentiate q(h) with respect to h. -2*h Suppose -2*o = 5*h - 18, 3*o + 0*h = 4*h - 19. Let f be -2 + o + (-2 - -7). Find the second derivative of -13*s**f + 13*s**2 - 3*s**5 + 4*s wrt s. -60*s**3 Suppose 5*u = 2*a - 0*a + 4, 5*a = 15. What is the second derivative of 4*j**2 + j**2 + j - 5*j**u + 3*j**2 wrt j? 6 Let t(p) be the third derivative of -p**7/70 + p**4/8 - 8*p**2. What is the second derivative of t(x) wrt x? -36*x**2 Let o(y) be the third derivative of y**8/6720 - y**7/840 + y**4/24 + 5*y**2. Let c(v) be the second derivative of o(v). Find the third derivative of c(z) wrt z. 6 What is the third derivative of 48*f**2 + 46*f**2 - 20*f**5 - 93*f**2 wrt f? -1200*f**2 Let c(k) = -k**3 + 4*k**2 + 3. Let y be c(4). Find the third derivative of -229*u + 229*u + 7*u**y - 4*u**2 wrt u. 42 Let u(d) = -23*d**2 - 3*d - 11. Let k(v) = -47*v**2 - 7*v - 22. Let r(z) = -3*k(z) + 7*u(z). Find the first derivative of r(p) wrt p. -40*p Let t(y) be the first derivative of -y**4 + 2*y**3/3 - 4. Find the third derivative of t(v) wrt v. -24 Let z = 12 - 11. Let c be ((-8)/(-6))/((-4)/(-6)). Differentiate -z - 1 - c*j**4 - j**4 wrt j. -12*j**3 Let n(h) = -5*h**5 + 6*h**4 + 6*h**3 + h**2 + 6. Let v(b) = -b**5 + b**4 + b**3 - b**2 + 1. Let x(r) = n(r) - 6*v(r). Find the third derivative of x(u) wrt u. 60*u**2 Let u(k) = k**2 - 5*k - 8. Let y be u(7). Suppose 3*z - 12 + y = 0. Find the first derivative of -z - 9*j**2 + 1 + 10*j**2 wrt j. 2*j Suppose 3*p + 25 = 8*p. Find the second derivative of 4*s + 0*s**3 - p*s + s**3 wrt s. 6*s Find the second derivative of -15*p + 2*p + 60*p**2 - 35*p**2 wrt p. 50 Let w(b) = 14*b**3 + 10*b**2 - 5*b - 5. Let m(l) = -21*l**3 - 15*l**2 + 8*l + 8. Let n(i) = 5*m(i) + 8*w(i). Find the third derivative of n(u) wrt u. 42 What is the second derivative of -3*g - 4*g - 3*g**4 - 7*g**4 + 3*g wrt g? -120*g**2 Let b(v) be the first derivative of -47*v**4/4 - 34*v**3/3 - 6. What is the third derivative of b(j) wrt j? -282 Let o(g) = -g**2 + g - 1. Let h(z) = -1 - 3 - 1 + 6. Suppose 6 = -5*p - 4. Let x(w) = p*h(w) - 2*o(w). Find the second derivative of x(i) wrt i. 4 Let r(v) = -4*v**3 + 4*v + 6. Let k(u) = -u**3 - u + 1. Let m(z) = 4*k(z) + r(z). What is the derivative of m(y) wrt y? -24*y**2 Suppose 2*i - 16 = -w, 0*w - 8 = -2*i + w. Find the third derivative of 0*t**2 - 3*t**2 + 0*t**6 + t**i wrt t. 120*t**3 Let f(g) = 2*g + 3. Let o(q) = q**2 - 2*q - 2. Let i = -4 - -1. Let c(r) = i*o(r) - 2*f(r). Find the second derivative of c(k) wrt k. -6 Let i(u) = -26*u**3 + 6*u**2 + 23. Let d(q) = 27*q**3 - 7*q**2 - 22. Let j(r) = 6*d(r) + 7*i(r). Find the first derivative of j(z) wrt z. -60*z**2 Let u(a) = -a**3 + 3*a**2 + 5*a - 2. Let q be u(4). Let m(b) = -b + 1. Let l be m(-1). Differentiate 3*t**2 + q*t**2 - 3*t**l + 1 with respect to t. 4*t Let l(p) be the first derivative of -3*p**7/7 + 8*p**3/3 + 6. What is the third derivative of l(c) wrt c? -360*c**3 Find the third derivative of -5*f**2 + 9*f**4 - 3*f**2 + 22*f**4 - 2*f**2 wrt f. 744*f Let h(n) = 3*n**6 + 3*n**5 - 3*n**4 + n**2 + 3. Let w(x) = 2*x**6 + 4*x**5 - 4*x**4 + 4. Let p(j) = 4*h(j) - 3*w(j). Find the third derivative of p(o) wrt o. 720*o**3 Suppose -i = 2*a + 25, -i - 4*a - 40 = a. Let l = -11 - i. What is the first derivative of 2*q**4 - 2 + l + 1 wrt q? 8*q**3 Suppose 3*q + 3 = -i + 6*i, i + 3 = 0. Let u(d) = -d - 5. Let x be u(q). What is the derivative of -5*s**2 - s**4 + x + 5*s**2 wrt s? -4*s**3 Let m(v) be the second derivative of -3*v**6/10 + v**4/2 + v. What is the third derivative of m(z) wrt z? -216*z Let q(w) be the first derivative of 2*w**6/3 - 17*w**3/3 + 9. Find the third derivative of q(n) wrt n. 240*n**2 Let a be 0/3 + 12/18. Let y(u) be the second derivative of a*u**3 + 0 + 1/4*u**4 + 0*u**2 + 2*u. Find the second derivative of y(c) wrt c. 6 Let z = -8 + 2. Let d = -3 - z. What is the third derivative of 2*v**2 + d*v**3 + 0*v**3 - 4*v**3 wrt v? -6 Let z(f) = f**3 - 6*f**2 - f + 8. Let y be z(6). What is the first derivative of y*m**3 + 0*m**3 + m**3 + 5 wrt m? 9*m**2 Suppose 2*p - o = 13, -3*p + o + 15 + 3 = 0. Suppose p*d - d - 20 = 0. What is the second derivative of 3*y - 4*y + y**d + 0*y**5 wrt y? 20*y**3 Let x(a) be the third derivative of -23*a**7/210 - 23*a**3/6 - 17*a**2. Find the first derivative of x(c) wrt c. -92*c**3 Let q(c) = -c - 2. Let b be q(-4). Let n(f) = 2*f - 3. Let r be n(3). What is the second derivative of b*z**r - 3*z + z + z**3 + 0*z**3 wrt z? 18*z Let b(y) be the third derivative of -y**7/70 - y*
{ "pile_set_name": "DM Mathematics" }
88951975286.953 What is 0.2349762961 - -27.5? 27.7349762961 Calculate -293594097 - -10.85. -293594086.15 Add together -187 and 11802299934. 11802299747 Total of 0.4566 and -6904683193. -6904683192.5434 What is 124603.5092747 - 0.543? 124602.9662747 What is 0.2 take away 16885486.2689? -16885486.0689 What is -56282 take away 284777.7? -341059.7 What is -0.1365 + 6417.8902? 6417.7537 Add -243124433036 and -0.3. -243124433036.3 Work out 5 + -106732968995922. -106732968995917 -474337.086358 + 0.1 -474336.986358 What is -36364607 - -99637? -36264970 -0.78061 + 9298297.62 9298296.83939 What is -36061950901 less than -3? 36061950898 Add -564055 and 239163. -324892 What is -25730723.19469 plus 2? -25730721.19469 Total of -363.7590234 and 0.07. -363.6890234 Calculate 15 - 70509.3794245. -70494.3794245 Sum -13058443150 and -0.2. -13058443150.2 What is the distance between -4 and -44753603521? 44753603517 Sum 8832336480183 and -0.25. 8832336480182.75 What is -70623510 take away 4566? -70628076 -528.3798266465 + 0.06 -528.3198266465 Subtract 1580650900958 from -0.13. -1580650900958.13 Total of -42.3 and 3.32342679358. -38.97657320642 What is 99.414984098 plus -1.3? 98.114984098 -333701424800 + 8 -333701424792 What is 10006 less than -26624229? -26634235 What is 0.076105347653 plus 10? 10.076105347653 What is the distance between 11 and 1521759014.232? 1521759003.232 Work out -94413554 + 0.5593. -94413553.4407 What is 1217849.701 less than 4482? -1213367.701 What is -0.3 less than -184961309297? -184961309296.7 Subtract 7 from -13429550028677. -13429550028684 264911161020+115 264911161135 What is -6856738 minus 18066? -6874804 What is -22535994025 take away -1.4? -22535994023.6 Calculate 4449130197 - -265. 4449130462 Subtract 13291 from 173395106. 173381815 -201671636823 + 0.07 -201671636822.93 Work out -26540513277 - -1451. -26540511826 Calculate -569491096 - -0.02209. -569491095.97791 -43262244108686+0.2 -43262244108685.8 What is 22 - 44.1855596199? -22.1855596199 Add together -83.92 and 38.980603. -44.939397 57878384683 + -3 57878384680 What is -23693 minus 7703209.5? -7726902.5 1.876166 + 9921 9922.876166 Sum -0.39 and -637646879066. -637646879066.39 Subtract -2 from -443325980845.1. -443325980843.1 5.02773604969 + -49 -43.97226395031 Calculate -2059.39 - 5222932. -5224991.39 Work out -41 - 0.19532224810069. -41.19532224810069 Put together 3.241 and -19912383239. -19912383235.759 -3 - -63929779955 63929779952 Add 0.05 and 34106694713123. 34106694713123.05 What is the difference between 0.0944 and -0.594138322? 0.688538322 Calculate 1861 + 1835617831. 1835619692 Work out 32629649881 - 0.4. 32629649880.6 Total of 3.476398145 and 1665.7. 1669.176398145 Calculate -10186.33 - 964954. -975140.33 Calculate 0.167 - -8228813967. 8228813967.167 Work out -240973819296 + -0.05. -240973819296.05 Work out -0.13 - 37930.389004. -37930.519004 What is -10413 - 2999064550? -2999074963 What is 0.079158 - -456052.23? 456052.309158 Subtract 1021203.58746 from 0.0726. -1021203.51486 248050+46281.62 294331.62 Put together 394 and 6206.18903. 6600.18903 What is 3.966 less than 1315380? 1315376.034 What is 192.52758372643 + -3? 189.52758372643 What is 2 - 297708030749712? -297708030749710 Work out 13 - -44703801018. 44703801031 Work out 455119776 + 32.341. 455119808.341 Add -466 and 3.3785698289. -462.6214301711 What is -0.3 + -87993548243? -87993548243.3 What is 410 take away 210630849? -210630439 Calculate 96706.386 + -0.4179. 96705.9681 Subtract -4258 from -39393602. -39389344 Subtract 1177397 from -23721234. -24898631 Total of -927814086 and -1.4096. -927814087.4096 Calculate 0.392362 - 71184. -71183.607638 What is -3212673 take away -1.075391? -3212671.924609 Sum 0.1 and 350270738885. 350270738885.1 0.057759392185 + -11.3 -11.242240607815 Total of 0.1997659520543 and 4. 4.1997659520543 What is the distance between 704908385 and -26423? 704934808 What is -32506 + 22245571? 22213065 Put together -128.4 and -5688489828. -5688489956.4 What is -2.4344 - -4183.577845? 4181.143445 Work out -4394.098 - 2849.025. -7243.123 What is -1478797616 take away 14506? -1478812122 Work out -54496246792 + -2.7. -54496246794.7 Total of 3.7634116 and 1198920. 1198923.7634116 3194 + 106746.349 109940.349 What is the distance between -176266760 and 139268? 176406028 What is the difference between -1.8 and -71055076913? 71055076911.2 Calculate 0.0647362 - -74726.9. 74726.9647362 Work out -8 - 79651226.19. -79651234.19 What is 135290467 + 1.807? 135290468.807 Sum -49901 and 5.0057191. -49895.9942809 What is 0.073295952782 plus 6? 6.073295952782 Add 0.038 and -13653.9366183. -13653.8986183 What is 143792.2 + 1.883476? 143794.083476 -5015018+-495.9 -5015513.9 Work out -3404574485 + 2.1354. -3404574482.8646 Calculate -375458457 - -5.5. -375458451.5 What is 2293329347425.6 plus 2? 2293329347427.6 What is -138096358.96407 + 2? -138096356.96407 Total of -0.049248 and -387.146. -387.195248 Work out -15057938732521 + -4. -15057938732525 Add together 103.2 and 22231557520. 22231557623.2 Work out 562 - -621665403. 621665965 Subtract -171 from -23243.624023. -23072.624023 -61314.3025 - 3.426 -61317.7285 Calculate -0.2 - 54563802095622. -54563802095622.2 What is 0.8 - 121852529549395? -121852529549394.2 Sum 3800975368275 and 0.14. 3800975368275.14 Add 23806624 and 251500. 24058124 What is the distance between -2.82 and -3.629562689? 0.809562689 What is -27268 plus -983.0192719? -28251.0192719 Calculate 0.01913246 + 0.03503542. 0.05416788 Work out 3893 - 160766652. -160762759 What is -89903903 - -1614.3? -89902288.7 Calculate -12193.7209378 - -3978. -8215.7209378 What is 4 + 2836538764251? 2836538764255 What is -142 less than -4777.33468? -4635.33468 Calculate -1825.055 - 4745187.9. -4747012.955 830.026405 - 13.95 816.076405 Work out 825589415297.3 - 5. 825589415292.3 Calculate 21278168 - -1.0733. 21278169.0733 What is -93 take away 86093.134252? -86186.134252 Add together -22.28 and 2760014292. 2760014269.72 Subtract 1512029089 from 0.22. -1512029088.78 -1390192793877 - 21.2 -1390192793898.2 What is the difference between 27.9741058 and 1.053? 26.9211058 Sum 10 and 395812836.83141. 395812846.83141 Work out -4 - 425818129720. -425818129724 Calculate -6844 + 329572.5245. 322728.5245 Work out 0.0070839958593 + -3. -2.9929160041407 What is the difference between -3 and -738.20164004266? 735.20164004266 Calculate -3 + 0.746323566565. -2.253676433435 What is 1285603 plus 1023437523? 1024723126 Subtract 0.34 from 4164884553. 4164884552.66 What is the distance between 234697050 and 0.369506? 234697049.630494 0.3+482636.735606 482637.035606 What is -1012553013 - -12.884? -1012553000.116 Work out 157.2 + -12973495.013. -12973337.813 Subtract 2.665 from -551854505. -551854507.665 What is 0 + 859579398.319? 859579398.319 What is -86 - 5946.21377? -6032.21377 Add -1053708 and -3318. -1057026 75828772+0.555309 75828772.555309 Work out -178.623598499 - 0. -178.623598499 Add together 1043400.5713 and 24. 1043424.5713 Subtract 3158581.598541 from 58. -3158523.598541 What is 0.002606 take away -863128? 863128.002606 Sum -1.8 and -474.9382836001. -476.7382836001 Subtract -0.343 from 3035830401. 3035830401.343 -1445.8 - -38.721595 -1407.078405 89.22 + -3.418736009 85.801263991 What is 7651 + 197730508441? 197730516092 Sum 931.19205 and -1020.35. -89.15795 What is the distance between 2956130766262 and 0.8? 2956130766261.2 What is -0.0906 minus 259787.0039? -259787.0945 Sum 425243.273 and 64. 425307.273 Add -25 and -655061.5019. -655086.5019 Work out -1.57 + 1616889495.6. 1616889494.03 What is 18.57 take away 1346.784? -1328.214 Add -13010513205 and 18. -13010513187 455022104.5 - 1.43 455022103.07 What is 40 - 189090239? -189090199 Subtract 47844 from 12818.39. -35025.61 What is the difference between 89837074248778 and -5? 89837074248783 -0.3+-7.58894539912 -7.88894539912 What is 9405566865 plus -7? 9405566858 Work out -0.1701132 + -58049023. -58049023.1701132 Total of 74908643 and -523.1947. 74908119.8053 Put together 138773461464764 and -3. 138773461464761 Sum 7623703520 and 188. 7623703708 Sum 210304.31627 and 10.086. 210314.40227 Work out -2 - 463.96569104034. -465.96569104034 What is -21.1 plus -12.21345308? -33.313453
{ "pile_set_name": "DM Mathematics" }
27000000 Let f be (-9)/27 + (-179466)/9. Round f to the nearest 10000. -20000 Let j be -13661*(-12)/2*-4. Let m = 374136 - j. Suppose 8*n - m = -n. Round n to the nearest ten thousand. 80000 Let r = -625 + 6707. Let d = r + -9421. What is d rounded to the nearest one hundred? -3300 Let l = 494.1444 - 494. Let b = 0.13246 - l. What is b rounded to 2 decimal places? -0.01 Suppose 12 = -3*p + 7*p. Let b be 2316405/(-84) - p/4. Let k = 66577 + b. Round k to the nearest ten thousand. 40000 Let r = -6795.19 + 7062.188208. Let t = r + -267. Round t to four decimal places. -0.0018 Let x = -22667 - -22666.99981128. What is x rounded to 5 dps? -0.00019 Let s = 55591 + -9391. What is s rounded to the nearest 1000000? 0 Let v = -864.61824 + -0.08176. Round v to the nearest ten. -860 Let h(l) = -536932*l + 4040. Let q be h(45). What is q rounded to the nearest 100000? -24200000 Let b = 131028.99 - 129568. Let m = -1492 + b. Round m to the nearest integer. -31 Let m = 2276.1245 - 2273. What is m rounded to two dps? 3.12 Let s = -2344.9404 + 3.8404. What is s rounded to the nearest 1000? -2000 Let p = -2273.8371 + 2271.2. Round p to 1 dp. -2.6 Let p = 0.732297913 - -202.267700427. Let z = -361 - -564. Let j = z - p. Round j to 7 dps. 0.0000017 Let m = 121019 - 120928.0597. Let u = 91 - m. Round u to 2 decimal places. 0.06 Suppose 11*k - 236323 = 8*k - h, k - 78785 = -3*h. What is k rounded to the nearest one thousand? 79000 Let m(t) = 2053470*t**3 - t**2 + 3*t - 1. Let i be m(1). Let k = i + -3496471. What is k rounded to the nearest one hundred thousand? -1400000 Let g = -3051944127.99999676 + 3051944063. Let h = -64.902 - 0.098. Let n = g - h. What is n rounded to seven decimal places? 0.0000032 Let r = -33.54 + -0.46. Let i = r + 42.1. Let j = i - 5.74. Round j to 1 decimal place. 2.4 Let x = -0.1839418 - -0.1807. What is x rounded to four decimal places? -0.0032 Let f = -161.3717 + 152.945. Let k = 8.4 + f. What is k rounded to 3 dps? -0.027 Let b = -9874 - -14254. Suppose b = 125*w - 119*w. What is w rounded to the nearest 100? 700 Let s = -515371 + 515369.190316. Let z = s - -1.81. What is z rounded to 5 decimal places? 0.00032 Let h = -757224921900 + 757226670545.999998. Let q = h + -1748649. Let p = q - -3. Round p to five dps. 0 Let z = -14117.51 + 13939. Round z to the nearest 100. -200 Let f be 10 - 18 - 7/(28/5607968). Round f to the nearest 100000. -1400000 Let l = 2.3 - 63.3. Let t = -60.9712 - l. Let s = -0.032 + t. Round s to four dps. -0.0032 Let p = 12144.599224 + -11979.599. Let q = 165 - p. Round q to 4 dps. -0.0002 Suppose 5*o = 3*x - 32, 6*x - 2*x - 5*o = 36. Suppose 289408 = 123*v - 11*v. Suppose x*b = 4*c - 1475 - 605, -5*c + b = -v. Round c to the nearest 100. 500 Let m = 25.69 + -26.2312. Round m to 1 decimal place. -0.5 Let p = 1.2731 - 1080.4731. What is p rounded to the nearest one thousand? -1000 Let i = -0.115251 + -240.066749. Round i to the nearest integer. -240 Let s = -1084 - -578. Let t = s + 506.0000054. What is t rounded to 5 dps? 0.00001 Let z(a) = -3625*a + 4360. Let i be z(14). Round i to the nearest 10000. -50000 Suppose 3*u - 12 = -u - 3*v, 3*v + 3 = u. Suppose 3*b = -i + 83, u*i + 2*b - 259 = 3*b. Suppose 3*y - 295 - i = 0. What is y rounded to the nearest 10? 130 Let c = -19.7 + 21.15. Let t = 1.449969 - c. What is t rounded to five decimal places? -0.00003 Let r be 8/(-52) + (-216215469)/(-13) - 2. Let h = 4568043 + r. Round h to the nearest one million. 21000000 Let j = -0.7048 - -3.5288. What is j rounded to 2 dps? 2.82 Let y = -25524 - -55344. Suppose -8*t + y = -99460. Suppose 0 = -7*r - r - t. What is r rounded to the nearest one hundred? -2000 Let l = 4885 - 4891.36. What is l rounded to zero dps? -6 Let p = 1091.8 - 1405. Let w = 303 + p. What is w rounded to the nearest 10? -10 Let v = 440462 - 440278.983. Let p = 3.283 + v. Round p to the nearest 10. 190 Let r(h) = -2*h + 4*h - h + 1620000. Let m be r(0). Round m to the nearest one million. 2000000 Suppose -1484376 + 108456 = 13*k. Round k to the nearest ten thousand. -110000 Suppose 2476302 = -59*p - 2725827 - 8676441. Round p to the nearest 10000. -240000 Suppose 0 = 2709*k - 2733*k + 216456000. Round k to the nearest 100000. 9000000 Let u(c) = -3*c**3 - 40*c**2 + 69*c + 94. Let k be -1 + (2542/93)/(4/(-6)). Let z be u(k). Round z to the nearest ten thousand. 150000 Let q = 183296697804.999999891 - 183296697686. Let g = q - 119. What is g rounded to 7 dps? -0.0000001 Let v = -7670 - -7660.412. Round v to one dp. -9.6 Suppose 953108 = 3*i + 2*g, -107*i + 5*g = -110*i + 953120. What is i rounded to the nearest 10000? 320000 Let a = 123.8 - 123.84732. Round a to two dps. -0.05 Let v = 108.9 + -114. Let d = -3485.7 - -3477. Let l = v + d. What is l rounded to the nearest integer? -14 Let u = 464.6 - 464.6000039008. Round u to 6 decimal places. -0.000004 Let t = -0.011523 + 0.360053. Let z = 0.3348 - t. Round z to four dps. -0.0137 Let x = 94783.732059 + -94772.7. Let m = -12.2022 + x. Let i = -1.17 - m. What is i rounded to five decimal places? 0.00014 Let s = 15875.1946 - 15900. Let t = 24.8 + s. Round t to 3 dps. -0.005 Let v = -6522.63835 - 1.06165. What is v rounded to the nearest 1000? -7000 Let k = -1.1 - -4.38. Let t = k - 3.5. Let q = t + 0.2199947. Round q to 6 dps. -0.000005 Let v = -0.035 - 0.405. Let s = v - -31.44. Let m = 30.999665 - s. Round m to four dps. -0.0003 Let f = 17 + -100. Let z = -73.4 - f. Let h = z + -9.59745. What is h rounded to three dps? 0.003 Let z(i) = -32302*i**3 + 2*i**2 + 5*i + 2. Let q be z(3). Let d = -394119 - q. Round d to the nearest 100000. 500000 Suppose 14 = -2*c + 5*m + 53, -4*m = -3*c + 41. Let t be ((-25449123)/(-6))/c*-2. Let y = -131863 - t. What is y rounded to the nearest one hundred thousand? 1100000 Let d = -0.249 - 7.631. Let t = 7 + d. Let x = 0.87999989 + t. What is x rounded to seven decimal places? -0.0000001 Let r = -996.1 + 921. Let p = -87 - r. Round p to 0 dps. -12 Let y(s) = -s**2 - 5*s + 21. Let o be y(-7). Suppose -3*x - 1 + o = 0. Suppose 82 = -x*v + 5*q, -3*v = v - 2*q + 196. Round v to the nearest 10. -50 Suppose -3*q + 5371149 = 2*f + 2161157, 4 = -f. What is q rounded to the nearest one million? 1000000 Let q(x) = -95*x**3 - 37*x**2 - 17*x - 18. Let w be q(12). What is w rounded to the nearest 1000? -170000 Let g = -150658 - -158664.9. Let n = g + -7496. Round n to the nearest 100. 500 Let o be ((-6)/(-9))/((-5)/(-15)). Suppose -2*u + 3*y + 1069233 = 128395, 0 = 4*u + o*y - 1881676. Suppose -2*a = -u + 100419. Round a to the nearest 10000. 190000 Let i = -3790.99978 + 3791. What is i rounded to 3 dps? 0 Suppose 29067705 = 5*o - 2*c, 2*o - 8910419 = 2*c + 2716669. Suppose -13*h + o = 1159539. What is h rounded to the nearest one hundred thousand? 400000 Suppose -6*w = -3662 - 874. Let r = w + -1636. Round r to the nearest 10. -880 Let d = 3398.0010833 - 3398. Round d to 4 decimal places. 0.0011 Let j = 17.63 + -17.8. Let q = j + 0.170000775. What is q rounded to seven decimal places? 0.0000008 Let l(t) be the first derivative of 33265793*t**3 + t**2/2 + 6*t - 23. Let q be l(-2). Suppose 14*b - 2610480 = q. Round b to the nearest 1000000. 29000000 Let q = 1.20904486 + -1.209. What is q rounded to 6 decimal places? 0.000045 Let q = 4083563 - 4083562.78499635. Let g = q + -0.215. Round g to 6 dps. 0.000004 Suppose 3*v = -2*v + 2*u + 33897504, 0 = 5*u + 10. Round v to the nearest 100000. 6800000 Let n(k) = -16*k + 50. Let c(m) = 3*m**2 - 22*m + 20. Let i be c(9). Suppose -i = -12*f + 115. Let p be n(f). Round p to the nearest 10. -190 Suppose -10 = -5*q + 2*z, q - 5*q - 3*z - 15 = 0. Let h(g) = -15*g - 1550000. Let c be h(q). What is c rounded to the nearest 100000? -1600000 Let r = -40.15 + 41. Let d = 0.84128 - r. Round d to four decimal places. -0.0087 Let z = 163.88 + -27.68. What is z rounded to the nearest ten? 140 Let f = -21.009 + 0.009. Let q = 21.005 + f. Let k = -1.655 - q. What is k rounded to 1 decimal place? -1.7 Let k = -9673.993 - -9675. Round k to one dp. 1 Let v = -284.74652 + 5.86552. Let d = v + 279. Let x = 0.1190625 - d. Round x to 5 decimal places. 0.00006 Let b = -5747.21 + 5790. What is b rounded to the nearest ten? 40 Suppose -24808 = h - 2*c, -2012*c + 20 = -2
{ "pile_set_name": "DM Mathematics" }
-117900 or -1179003/10? -1179003/10 Which is smaller: -324391 or -324392? -324392 Are 15006 and 15125 equal? False Which is smaller: -1.4 or -26355? -26355 Is -18821 < 1? True Is -5/6 at most -9944? False Which is smaller: 944 or 423? 423 Are 1521215 and 1521214 non-equal? True Which is smaller: 1 or 7/1879114? 7/1879114 Which is greater: 0 or -1/130229? 0 Is 22/694003 > 1? False Is -63/140885 smaller than 1? True Which is bigger: 0.3 or -7212? 0.3 Which is greater: 34725 or 34724? 34725 Is 1 > -1/1041376? True Are -40 and 14846 non-equal? True Is 0 at most 2/328913? True Which is bigger: 0.4 or -26661? 0.4 Is 152137 at least 6? True Which is smaller: -5 or -9/3847? -5 Which is greater: 245 or -204? 245 Which is bigger: 2/115 or 683/5? 683/5 Is 1931 > 182? True Is -8939 at most -42? True Are 223 and -135 non-equal? True Is 19495 >= 19486? True Which is bigger: -0.076 or 6/181? 6/181 Which is smaller: 13/8 or 9/8? 9/8 Which is smaller: -276 or 200? -276 Which is greater: 42586 or 127759/3? 127759/3 Are 0.06 and -1791/11 non-equal? True Which is bigger: 2/15 or 6.687? 6.687 Is -4380 <= -4366? True Which is smaller: 6579/226 or 30? 6579/226 Is -71 less than or equal to -14/29? True Is 0 < 235/362? True Is 172771 < 172770? False Is -3254 > -3260? True Is 20201 < 20205? True Is 5463 at least as big as 5463? True Which is smaller: 3/2 or -128.7465? -128.7465 Is -29635 equal to -29634? False Is -9052 less than -9053? False Which is smaller: -46735 or -46740? -46740 Which is bigger: 12646/35 or 362? 362 Is -386686/13 > -29744? False Is -101356 greater than or equal to -101356? True Which is smaller: 129/127757 or 1? 129/127757 Which is smaller: 10448 or 10450? 10448 Which is smaller: -280673/2 or -140336? -280673/2 Do -297306 and -297307 have the same value? False Is -24293 less than -24293? False Do 72082 and 72080 have different values? True Is -939 equal to -116? False Which is smaller: 197 or -0.125? -0.125 Is -5678 at most as big as -5717? False Is -1 at most as big as -1/175020? True Is 2/93515 greater than 1/10? False Is -669/8248 greater than 0? False Is -3/80701 at least 1? False Does 0 = 1/367217? False Which is smaller: -682 or -739? -739 Is -317/26 > -13? True Which is greater: 13905 or 41713/3? 13905 Which is greater: -67480 or -1/2? -1/2 Is 62125 greater than or equal to 62123? True Which is bigger: -2000/9 or -2/11? -2/11 Which is bigger: 944 or 4724/5? 4724/5 Which is bigger: 0.307829 or 0.2? 0.307829 Does -383/3801 = -1? False Is -170050 >= -170080? True Is 17558/5 at least 3511? True Are 578620 and 1157239/2 unequal? True Which is greater: 544 or -0.603? 544 Is 19/6120 less than 0? False Is -273780 smaller than -273782? False Are -164909 and -164907 nonequal? True Which is smaller: -2/1808589 or 0? -2/1808589 Which is greater: -9364 or 4? 4 Is 1384 less than 23522/17? False Is -188 smaller than -303? False Is -399695 at most as big as -399695? True Which is greater: -430 or -4/3? -4/3 Which is bigger: -1 or -1/229846? -1/229846 Is 1 <= 4/82189? False Which is greater: -35/65736 or -1? -35/65736 Is -123700 at least -371096/3? False Which is smaller: 1/19228 or 0? 0 Are 947235 and 947239 equal? False Which is greater: -502728 or -502730? -502728 Which is bigger: -26/25 or -1/847? -1/847 Which is greater: 11/2932 or 0? 11/2932 Is -5973 <= -5974? False Is -334 greater than -258? False Which is smaller: 148251 or 148252? 148251 Is 11692 > 11694? False Is -10032 smaller than -10607? False Which is smaller: 223460 or 223458? 223458 Is -5/215092 less than or equal to 1? True Which is smaller: -2/6643739 or 0? -2/6643739 Which is greater: -1369 or -1366? -1366 Which is bigger: -72 or 2322? 2322 Which is greater: -1 or -742? -1 Which is greater: 269.673 or -2/7? 269.673 Is 2046 > 1.1? True Which is smaller: -3 or -446/111? -446/111 Is 667821 greater than or equal to 667825? False Is -90160 > 69? False Are 4/345223 and 1 equal? False Which is smaller: -2208/131 or -18? -18 Are 38706 and 38703 equal? False Which is smaller: -7 or 9153? -7 Which is greater: -3/1759553 or -1? -3/1759553 Is 154612 less than 154628? True Which is bigger: -1/84554 or 0? 0 Which is greater: -923/303 or -2? -2 Is 149599 greater than or equal to 149600? False Is 3/112763 greater than or equal to -1? True Which is smaller: -189051 or -189053? -189053 Which is smaller: 1168 or 16337/14? 16337/14 Is 24744 less than or equal to 24683? False Is -21 at most as big as -655/32? True Is -0.5547 >= 2? False Are 4 and 548/145 unequal? True Which is smaller: 1/4 or -335532? -335532 Which is bigger: -474 or -340? -340 Is -95757 at most -95756? True Is -6703 >= -6699? False Is 13299 < -6/7? False Is 56 bigger than 21756/395? True Which is smaller: -2/319101 or -1? -1 Is 0.39 less than 9.317? True Is -5518 at least as big as -148948/27? False Does -347637 = -347636? False Which is bigger: 55678/13 or 4283? 4283 Does 124 = 6177? False Is -10971/2 at least -5487? True Is -442682 >= -442683? True Which is smaller: 615708 or 0? 0 Are -40795/24 and -1701 equal? False Which is bigger: -252 or -21641? -252 Which is smaller: -78857 or 4? -78857 Is 0 smaller than 2/278027? True Which is bigger: -2189 or -2192? -2189 Which is smaller: 3/1987 or 0.17? 3/1987 Which is smaller: -1574623 or -1574626? -1574626 Is -1484 < -1479? True Is -9242717 at most as big as -9242717? True Which is bigger: 219675/59 or 3723? 219675/59 Are 1 and 347/3952 unequal? True Is 43840 at most 43842? True Is 428 bigger than -14460? True Is 15199 greater than 15195? True Which is smaller: 5/64 or -0.28? -0.28 Which is smaller: -324 or -283? -324 Does -2509 = -2502? False Which is greater: 81 or 18093? 18093 Is -132 < 830? True Is -4564 > 106? False Is 0 < -121/1060? False Which is bigger: 4158 or 33275/8? 33275/8 Is 273043 at most as big as 273043? True Which is smaller: 1058/6275 or -1? -1 Which is smaller: -0.99 or -2/71? -0.99 Do -1087989/4 and -271996 have different values? True Which is smaller: 839 or 941? 839 Is 19 equal to 1347/68? False Which is bigger: -1 or -3/169730? -3/169730 Which is bigger: -1716 or 1167? 1167 Which is bigger: 2/4177 or -2? 2/4177 Is -308/12841 smaller than 1? True Which is bigger: -739 or -738? -738 Is -140483 equal to -140484? False Is -270804 not equal to 0? True Do 2286630 and 2286633 have the same value? False Which is smaller: 5675 or 5671? 5671 Which is bigger: -8/47573 or 1? 1 Is 9240/23 at least as big as -1/4? True Is 3408 at most 3106? False Is 2909 smaller than 2913? True Which is smaller: 9348 or 9351? 9348 Is -1/1083 less than or equal to -8.6? False Which is smaller: -619.41 or -4? -619.41 Which is smaller: -302 or -0.19? -302 Are 8 and 8301 equal? False Are -254561 and -254565 non-equal? True Which is bigger: 112597 or 112590? 112597 Which is bigger: 5036/843 or 7? 7 Which is bigger: 145223/5 or -0.2? 145223/5 Is -230431/6 greater than -38405? False Which is greater: 326774/9 or 36307? 326774/9 Is -167/400 != -1? True Is -12217 at least as big as -12258? True Is -25576 greater than -102305/4? True Which is smaller: 2820 or -304? -304 Which is smaller: 447 or 18? 18 Which is greater: -0.1 or 538479? 538479 Are 0.05 and 3.301 nonequal? True Which is bigger: -111483 or 1? 1 Are -374 and -395 equal? False Which is smaller: -5 or -749/116? -749/116 Are -1126292 and -1126293 nonequal? True Which is smaller: -6526 or -6527? -6527 Which is smaller: -0.72989 or 20? -0.72989 Do 1 and 8/34161 have different values? True Is 521955 greater than or equal to 1043911/2? False Is 0.1 equal to -91505? False Which is greater: -23/6 or 19284? 19284 Is -1/7 at most as big as 1230? True Which is greater: 108/707 or 0? 108/707 Is -889 bigger than -99? False Is 10870 at most 43481/4? True Is -20568 greater than -20564? False Is -0.48 less than 58.4? True Which is bigger: -13 or 0.1504? 0.1504 Which is smaller: 9892 or 9898? 9892 Is 265 greater than or equal to 276? False Do -2 and 39703 have different values? True Which is smaller: 165711 or 165712? 165711 Is -20/52669 bigger than 1? False Which is bigger: -1/304442 or 0? 0 Which is smaller: -19196/3 or -6398? -19196/3 Are 3912 and -1/35 unequal? True Which is greater: 4/1871 or -433? 4/1871 Is 3266 > 3262? True Are 1 and -1446.063 equal? Fals
{ "pile_set_name": "DM Mathematics" }
ing order. -14, -5, -1, 0.1 Put -21.3, -0.1, -2, 2/5 in descending order. 2/5, -0.1, -2, -21.3 Sort 5, 7633, 3 in increasing order. 3, 5, 7633 Put -9, 2, 1/6 in decreasing order. 2, 1/6, -9 Put -1, 0, -5, 19 in ascending order. -5, -1, 0, 19 Sort -2/3, -5, 14 in decreasing order. 14, -2/3, -5 Sort 5, 58, 2 in increasing order. 2, 5, 58 Put -2/9, 4/15, -0.3, 4 in increasing order. -0.3, -2/9, 4/15, 4 Put 16, 2, -29, -2 in ascending order. -29, -2, 2, 16 Put -4, 2/11, 24, 0.4 in descending order. 24, 0.4, 2/11, -4 Sort 4, 8, 156, -2, -4. -4, -2, 4, 8, 156 Sort -5, -3, -1, 0 in decreasing order. 0, -1, -3, -5 Sort 5, 8, -5, -1 in increasing order. -5, -1, 5, 8 Sort -12, 38, 0, 3, -1 in increasing order. -12, -1, 0, 3, 38 Put 2, -1183, -3, 4 in increasing order. -1183, -3, 2, 4 Put 0, -290, -70 in decreasing order. 0, -70, -290 Sort -3, 14, -4, 3/2, -3/5 in increasing order. -4, -3, -3/5, 3/2, 14 Sort -275, 0, 3 in decreasing order. 3, 0, -275 Sort 4, -0.16, 0.2, 149, 1 in descending order. 149, 4, 1, 0.2, -0.16 Sort -4, 4, 17, 1, 0 in ascending order. -4, 0, 1, 4, 17 Sort -41/2, 2, -2, 3 in descending order. 3, 2, -2, -41/2 Put -8, 3/10, -2/13 in increasing order. -8, -2/13, 3/10 Sort -85, -0.02, 1. -85, -0.02, 1 Put -34, -2/27, -4 in decreasing order. -2/27, -4, -34 Sort -570, -3, 2, -1. -570, -3, -1, 2 Put -3, 4, 2, -67 in increasing order. -67, -3, 2, 4 Put -5, 7.1, 0.21 in ascending order. -5, 0.21, 7.1 Sort -45, 4, -4, -2, -3. -45, -4, -3, -2, 4 Sort -0.2, 0.03, 3/2, 0.04, -3/2 in ascending order. -3/2, -0.2, 0.03, 0.04, 3/2 Sort -2, 4/5, -21, -7 in descending order. 4/5, -2, -7, -21 Put 0.2, -5203, 0.5 in descending order. 0.5, 0.2, -5203 Sort 4, -5, -4. -5, -4, 4 Put -3, -6, -2, -4, 2 in decreasing order. 2, -2, -3, -4, -6 Sort 11, 0, -2 in decreasing order. 11, 0, -2 Put -0.1, 4/3, -5, 9, 0 in descending order. 9, 4/3, 0, -0.1, -5 Put -4, 0, -2, 4 in ascending order. -4, -2, 0, 4 Sort 0, -2, 467, -9. -9, -2, 0, 467 Sort -2, 1/13, 168, 5 in descending order. 168, 5, 1/13, -2 Sort -2, 1/2, -0.1, 2, 0.4 in increasing order. -2, -0.1, 0.4, 1/2, 2 Sort 3, -0.5, -5, 5 in increasing order. -5, -0.5, 3, 5 Sort -9, 3, -4, 12, 4 in descending order. 12, 4, 3, -4, -9 Sort 1, 6, -1 in descending order. 6, 1, -1 Put 4, 1/14, 0.5 in ascending order. 1/14, 0.5, 4 Sort 1, 2/17, -2/7, 0.5. -2/7, 2/17, 0.5, 1 Sort -27.2, 0.05, -1 in increasing order. -27.2, -1, 0.05 Sort 310, 3/2, 3, -1 in decreasing order. 310, 3, 3/2, -1 Put -2, 4, 2 in descending order. 4, 2, -2 Sort -4, 1, -104, 21, 5. -104, -4, 1, 5, 21 Sort 606, 3, -5, -2 in decreasing order. 606, 3, -2, -5 Sort -4/7, 5/18, -12/7 in decreasing order. 5/18, -4/7, -12/7 Sort 355, 1, -4, 4 in ascending order. -4, 1, 4, 355 Sort -5, -18, -2. -18, -5, -2 Sort 2, -41, 4, -15 in decreasing order. 4, 2, -15, -41 Sort 3, -7.4, 1. -7.4, 1, 3 Sort -1, 34, -5 in increasing order. -5, -1, 34 Sort -0.23, 1/3, 4, -2 in decreasing order. 4, 1/3, -0.23, -2 Sort -4/7, 0.1, -7, 12. -7, -4/7, 0.1, 12 Sort 1/4, 1/9, 437/4 in increasing order. 1/9, 1/4, 437/4 Put -2/3, 645, -3/4, 2 in increasing order. -3/4, -2/3, 2, 645 Put -4/5, 3/4, 0.69, 0.3 in descending order. 3/4, 0.69, 0.3, -4/5 Put 5, 8, 7, -3 in increasing order. -3, 5, 7, 8 Put 2, -6, -59, -5 in ascending order. -59, -6, -5, 2 Sort -3, 5, -4 in descending order. 5, -3, -4 Sort -0.6, 0, 14. -0.6, 0, 14 Put 3, 5, -4, -27 in ascending order. -27, -4, 3, 5 Put -2, -50, 0 in ascending order. -50, -2, 0 Sort 6, -7, -2, 3 in descending order. 6, 3, -2, -7 Sort -14, 5, 2/7, -2 in descending order. 5, 2/7, -2, -14 Put -1/11, 1/3, -0.08 in ascending order. -1/11, -0.08, 1/3 Put 0, 3, 8, -10, -4 in ascending order. -10, -4, 0, 3, 8 Sort -3, -1, -0.09 in descending order. -0.09, -1, -3 Sort 33, -0.3, -1/5, -2/3, 1 in decreasing order. 33, 1, -1/5, -0.3, -2/3 Sort -4, -0.4, 0.4, -20. -20, -4, -0.4, 0.4 Sort -3, -5, 8, 0, 15 in decreasing order. 15, 8, 0, -3, -5 Sort 3, -3, 8, 4 in descending order. 8, 4, 3, -3 Sort 98, -6, 2 in decreasing order. 98, 2, -6 Put 103, 1.7, -3/2 in decreasing order. 103, 1.7, -3/2 Put -1, 0.3, 11, -0.4, 2/3 in descending order. 11, 2/3, 0.3, -0.4, -1 Put -1/3, 15, 1/7 in ascending order. -1/3, 1/7, 15 Sort 1, 8.2, 1/2, -8/3. -8/3, 1/2, 1, 8.2 Put -2/3, -0.02, -4, 4 in descending order. 4, -0.02, -2/3, -4 Put 3, 5, -5, 19, -4 in descending order. 19, 5, 3, -4, -5 Put 6, 12, -4 in increasing order. -4, 6, 12 Put 5, 7, -27, 14, 1/3 in descending order. 14, 7, 5, 1/3, -27 Put -23921, 5, -3 in decreasing order. 5, -3, -23921 Sort -0.1, -6/5, -388, 2, -0.5 in decreasing order. 2, -0.1, -0.5, -6/5, -388 Sort 1/6, 1, 2/5, 238 in ascending order. 1/6, 2/5, 1, 238 Put 0, -55, 4, 1 in decreasing order. 4, 1, 0, -55 Put -2/35, -1/13, 1 in ascending order. -1/13, -2/35, 1 Sort 5, -5/2, 12, 3/4, 2/5. -5/2, 2/5, 3/4, 5, 12 Sort -3, -4, 5, -550 in decreasing order. 5, -3, -4, -550 Sort 2/23, 2/9, -5, 0, -3 in increasing order. -5, -3, 0, 2/23, 2/9 Sort 9, 4, -3/7, -3 in increasing order. -3, -3/7, 4, 9 Put -3, 6, -5, -1 in descending order. 6, -1, -3, -5 Put 4, 5, 3, -18, 0 in descending order. 5, 4, 3, 0, -18 Sort -3, -1/32, 3, -54 in ascending order. -54, -3, -1/32, 3 Put -42, -7, 5 in descending order. 5, -7, -42 Put -34, 8, -5, -1 in increasing order. -34, -5, -1, 8 Put -2, 5, -1 in decreasing order. 5, -1, -2 Sort -8, -2, -10, 3 in ascending order. -10, -8, -2, 3 Put 4, -1, 2, -5, -35 in increasing order. -35, -5, -1, 2, 4 Sort -920, -5, -3, 5 in increasing order. -920, -5, -3, 5 Sort 0, -2, 1/2, -1/8. -2, -1/8, 0, 1/2 Put -1, -4, 26, -7 in descending order. 26, -1, -4, -7 Put -0.1, 0.2, 5, -19 in increasing order. -19, -0.1, 0.2, 5 Sort 40, 2, 4, -123. -123, 2, 4, 40 Sort 1, -4, 1/28, -7/5 in decreasing order. 1, 1/28, -7/5, -4 Put -3, -14, 1/9, -15 in decreasing order. 1/9, -3, -14, -15 Sort -3, 5, 4, -2, 2 in descending order. 5, 4, 2, -2, -3 Put 4, -7, 2, 10 in decreasing order. 10, 4, 2, -7 Put 4, -10, 5, 6 in ascending order. -10, 4, 5, 6 Sort -0.3, 3/8, 4/3, 0.13. -0.3, 0.13, 3/8, 4/3 Sort -8, 14, -2, 0, 5 in increasing order. -8, -2, 0, 5, 14 Put 4, -1/3, 13.8 in decreasing order. 13.8, 4, -1/3 Sort -0.1, -7, -2. -7, -2, -0.1 Sort -1, 0.1, -4, 0.4 in increasing order. -4, -1, 0.1, 0.4 Sort 5, 1, -91. -91, 1, 5 Sort 0.5, 0.69, 2/19, -3 in decreasing order. 0.69, 0.5, 2/19, -3 Put 538, -2, -3, -5 in decreasing order. 538, -2, -3, -5 Sort 117, 1, -1, -3 in descending order. 117, 1, -1, -3 Sort -2, -12, -6, 2 in descending order. 2, -2, -6, -12 Sort -3, -41, 3 in descending order. 3, -3, -41 Sort 5, -48, -23, 4, -4 in decreasing order. 5, 4, -4, -23, -48 Sort -5, -0.3, 20, -1 in increasing order. -5, -1, -0.3, 20 Put 3, 1, 0, 4 in increasing order. 0, 1, 3, 4 Put 0, 7, -30 in decreasing order. 7, 0, -30 Put 1/6, 0.1, -0.5, -3/2 in descending order. 1/6, 0.1, -0.5, -3/2 Sort -4, -232, -6. -232, -6, -4 Put 14, 1, 19 in descending order. 19, 14, 1 Sort -28, -2, -0.4, -41 in descending order. -0.4, -2, -28, -41 Put 0, 3, 6 in ascending order. 0, 3, 6 Sort -2, 5, 13 in decreasing order. 13, 5, -2 Sort -3/11, 1, 3/2, -2/5 in decreasing order. 3/2, 1, -3/11, -2/5 Sort 1, 162, 5. 1, 5, 162 Sort 3, -3, -5 in ascending order. -5, -3, 3 Put -10, -1, 5 in decreasing order. 5, -1, -10 Sort 0, 3, -1, -2, 29 in decreasing order. 29, 3, 0, -1, -2 Sort -2/3, -1.53, 2/7, -1/4. -1.53, -2/3, -1/4, 2/7 Sort 6, 4, -4 in increasing order. -4, 4, 6 Put -1, -44, -2 in decreasing order. -1, -2, -44 Sort -2/3, -3, -18, 4, 2/21 in increasing order. -18, -3, -2/3, 2/21, 4 Sort 1, -12, 8 in ascending order. -12, 1, 8 Sort -2/9, 72, -0.6, -3. -3, -0.6, -2/9, 72 Put -20, -6, 0, -5 in descending order. 0, -5, -6, -20 Sort 2, -32, -4, -3/4, -0.3. -32, -4, -3/4, -0.3, 2 Put -7, 6, -5, 1 in increasing order. -7, -5, 1, 6 Sort -2, 224, 2. -2, 2, 224 Sort 4, -2/41, 1/2, -1.5, 2/15. -1.5, -2/41, 2/15, 1/2, 4 Put -0.2, 4, 17 in decreasing order. 17, 4, -0.2 Sort -3, 2, -2, 206 in descending order. 206, 2, -2, -3 Put 3, -56, -47 in increasing order. -56, -47, 3 Put -5, 9, 23 in decreasing order. 23, 9, -5 Put 1, -2, 1274 in descending order. 1274, 1, -2 Sort -2593, -5, -4 in increasing order. -2593, -5, -4 Sort -1/11, -2/7, 2, -2/11 in descending order. 2, -1/11, -2/11, -2/7 Put 0, -3, -
{ "pile_set_name": "DM Mathematics" }
. Calculate k(f). 6 Let w(d) be the third derivative of -d**6/120 - 3*d**5/20 + 13*d**4/24 + 4*d**3/3 + 15*d**2 + 5. Calculate w(-10). -22 Let c(i) = 9*i**3 - i**2 - i. Let t be ((-14)/21)/(2/3). Give c(t). -9 Suppose -7*u + 8*u = 3. Let x(m) = -4*m**2 - 13 + 37 - 15 + 5*m + u*m**2. Calculate x(7). -5 Let t(b) = -b**2 + 1. Let x(n) = n**2 + 12*n + 17. Let o(d) = 2*t(d) + x(d). Give o(13). 6 Let b(d) be the third derivative of -1/24*d**4 + 0*d + 0 + 2*d**3 + 40*d**2. Determine b(5). 7 Suppose 3*p - 5*i - 37 = -p, -2*p + 21 = -3*i. Let f(j) = -3*j**2 + 992*j + j**p - 992*j. Determine f(4). 16 Let y(x) = 6*x - 13. Let r be y(3). Let c(t) = -2*t + 3. Let f(l) = -l + 4. Let b(z) = r*f(z) - 6*c(z). Let p be (-1)/(1/(-2)) - 0. Calculate b(p). 16 Let z(i) = -i - 1. Let o(g) = -g**2 - 8*g + 7. Let k(u) = -o(u) + 2*z(u). Suppose -d - 42 = -34. Give k(d). 7 Let k = -573/2 - -290. Let b(c) be the second derivative of 1/20*c**5 + k*c**2 + 5/6*c**3 - 7/12*c**4 + 0 + 3*c. What is b(6)? 1 Let r(a) = 7*a**2 + 4*a + 2. Let p(j) = 3*j**2 + 2*j. Let i(b) = 5*p(b) - 2*r(b). Suppose 0*k - 20 = 5*k. What is i(k)? 4 Let q be 221/78 + 2/12. Let r(p) = 3*p**3 + 8*p**2 + 4*p. Let l(g) = -7*g**3 - 17*g**2 - 9*g. Let w(h) = 4*l(h) + 9*r(h). Give w(q). 9 Suppose 0 = -2*y - 3*k - 20, y + 5*k = 2*k - 13. Let x(l) = l + 4*l - l**2 - 35*l + 7*l + 7 + 16*l. Calculate x(y). 7 Suppose -k = 2 + 1. Let c be -1 - (-2 + 3/k). Let z(r) = -c - r - r**2 + 0*r**2 - 4*r + 4*r. Calculate z(0). -2 Let n(g) = -7*g + 13. Let m(b) = 4*b - 7. Let u(z) = z**3 + 2*z**2 + 2*z + 1. Let y be u(-2). Let k(a) = y*n(a) - 5*m(a). What is k(-6)? -10 Let p(f) = 5*f**2 + 2*f - 2. Let g(q) = -8*q - 90. Let h be g(-11). Determine p(h). 14 Let z(x) = -x. Suppose 2*l - 8 = 4*q + 4*l, 4*l = 16. Let i be (-2)/q - 18/(-4). Calculate z(i). -5 Let p(o) = -7*o**3 + 2*o**2 + o. Suppose 0 = 5*l - 2 - 3. Let y be (-12)/(-20) + 115/(-25). Let f be 3/y + l/(-4). Calculate p(f). 8 Let r(s) = s**2 + 4*s + 3. Let q be -3 + 4 + 1 - -3. Suppose 11 - 61 = -q*d. Suppose -5*m + 10 = -d*m. Give r(m). -1 Let s(v) be the third derivative of -v**6/120 + v**5/10 + 5*v**4/24 - v**3/2 - 45*v**2 - 1. Determine s(7). -17 Let k(x) = 5*x - 16*x**2 + 15*x**2 + 1 - 2. Give k(5). -1 Let n(w) = 7*w**3 - 3*w**2 + 3. Let m be 360/200*(-20)/(-6). Let x(z) = -20*z**3 + 8*z**2 + z - 8. Let d(k) = m*x(k) + 17*n(k). Determine d(-4). -5 Let k = -19 + 20. Let x(z) = -k + 5*z + 188*z**2 - 185*z**2 - 2 - z**3. Calculate x(4). 1 Suppose -2*p = h + 30, p - 4*h = h - 4. Let k = -10 - p. Let v(x) = -x - 5*x - 28*x**2 + 26*x**2 + 1 + x**3. Determine v(k). 9 Suppose -4*v = 12, 5*v - 9 = -n - 18. Let m(k) = k**2 - 8*k + 7. What is m(n)? -5 Let b(x) be the first derivative of x**5/60 + x**4/24 - 7*x**3/6 - 4*x**2 - 4. Let f(i) be the second derivative of b(i). Suppose 2*h = -2*h. Give f(h). -7 Let y(d) = -12*d**3 + 9*d + 9. Let f(j) = 3*j**3 - 2*j - 2. Let t(x) = 18*f(x) + 4*y(x). Calculate t(-1). -6 Let u = -7 - -10. Let c(x) be the first derivative of -5*x**3/6 + 4*x - 5. Let i(g) be the first derivative of c(g). Calculate i(u). -15 Let q(r) = 3*r - 9. Let i(g) = 18 - 3*g - 9*g + 5*g. Let k(v) = -4*i(v) - 9*q(v). Let a(p) = -2*p**2 - 5*p - 4. Let d be a(-3). What is k(d)? 2 Suppose -2*f - 2*g - 24 = -3*g, 0 = -4*f - 2*g - 32. Let x be 48/f - (-1)/(-5). Let a(d) = -d**2 - 4*d + 1. Determine a(x). -4 Let u(k) = 7*k**3 - 13*k**2 + k. Let r(v) = 13*v**3 - 25*v**2 + 3*v - 1. Let z(i) = 6*r(i) - 11*u(i). Suppose -5*x = -3*l - 27, 4*l = x + 3 - 5. Give z(x). 0 Let p(f) = 3 + 56*f**3 - 168*f**3 + 2*f + 0*f**2 + 62*f**3 + 3*f**2 + 52*f**3. What is p(-2)? -5 Let m(o) = 2*o + 7. Let v be m(0). Let n(j) = 2*j - 140 + 67 + 77. Calculate n(v). 18 Let q(c) = -4*c - 4*c**2 + 73 - c**3 - 71 - 2*c**2. Suppose m = -3, -7 - 7 = 4*x - 2*m. What is q(x)? -3 Let l(y) = y**3 - 6*y**2 + 5*y + 6. Let i = -900 + 905. Determine l(i). 6 Let s = -11 - 3. Let t = 17 + s. Let x(r) = 4 - 7*r**2 - t*r - 3*r - r**3 + 0*r**3. What is x(-6)? 4 Let u(r) = -r - 1. Let w(z) = 2*z + 1. Let n be w(6). Suppose -n*a = -5*a + 48. Give u(a). 5 Let u be ((-24)/3)/(4 - 2). Let h(f) = f**3 + 3*f**2 - f + 8. Calculate h(u). -4 Let i be (-37)/6 - 49/(-42). Let m(r) = r**3 + 6*r**2 + 10*r + 25. Determine m(i). 0 Let h be (48/(-30))/(6/(-15)). Suppose -7 = -h*b + 25. Let s(o) = -o + 6 - 4 + b*o - 1. What is s(-1)? -6 Let j(a) = a**3 + 6*a**2 - 8*a - 15. Let v be 51/(-102)*14*1. Determine j(v). -8 Let k(h) = -5*h - 2. Let a be (110/15)/11*-12. What is k(a)? 38 Suppose -2*r = 33 + 23. Let v = r + 43. Suppose 2*s + 7 = 1, 0 = -5*k + 5*s + v. Let t(y) = y + 2. Give t(k). 2 Let p(i) be the first derivative of i**3/3 - 5*i**2/2 + 6*i - 93. Determine p(4). 2 Let k(m) be the second derivative of -17*m**4/12 - m**3/3 - m**2/2 - 401*m. Give k(-2). -65 Let l(c) = -c**3 + c**2 - c + 2. Let m = -15 - -21. Let w be 142/(-12) + (-1)/m. Let a = 14 + w. Give l(a). -4 Let y(f) be the third derivative of -f**4/24 - 7*f**3/6 + 76*f**2 - 2. Give y(-6). -1 Let k(i) = 6*i - 7. Let q(s) = 3*s - 3. Let m(f) = 2*k(f) - 5*q(f). Let g(c) = 3*c - 2. Let d(y) = 2*g(y) + 3*m(y). Give d(-5). 14 Suppose 0 = 3*q - 6, -2*r + 5*q - 3*q + 26 = 0. Suppose -35*i = -38*i + r. Let n(k) = k**3 - 5*k**2 + 2*k - 3. What is n(i)? 7 Let c = 1068 + -1074. Let p(j) = 3*j + 12. What is p(c)? -6 Let u(f) = -f**2 + 2*f**3 + 0*f**3 - f - 3*f**3. Let v(l) = l**2. Let m(w) = 3*w**2 - 5*w + 4. Let h(t) = m(t) + 4*v(t). Let r(c) = h(c) + u(c). Determine r(5). -1 Let v(q) = -q**2 - 8*q - 6. Let c be ((-30)/9)/((14/(-3))/(-7)). Calculate v(c). 9 Let m(r) = -7*r**2 - 7*r - 6. Let t(o) = 9*o**2 + 6*o + 4. Let h(i) = 4*m(i) + 3*t(i). Let f be (-3)/((-6)/16*-1). Give h(f). 4 Let g(z) = -5*z - 4. Let j(w) = -w + 2. Let s be j(6). Let r(m) = 6*m + 4. Let x(v) = s*r(v) - 5*g(v). Let k(h) = h**2 - 9*h - 22. Let y be k(11). Give x(y). 4 Let z(t) = -7*t**2 + 3*t - 10. Let o(f) = f**2 + f + 1. Let u(w) = 6*o(w) + z(w). Determine u(8). 4 Let o(h) = -2*h**2 + 8*h - 4. Let z(c) = -2*c**2 + 7*c - 4. Let q = -45 + 48. Let t(a) = q*z(a) - 2*o(a). Give t(3). -7 Let c(h) = -2*h + 9. Let t be 30*-1*(-16)/(-40). Calculate c(t). 33 Suppose -3*f = 28 - 10. Suppose -z - 81 = -86. Let c(s) = z + 3*s**2 + 5*s + s**3 - 12 + 4*s**2. What is c(f)? -1 Let n = -35 + 37. Let l(j) = -5 - 4 + 3*j + 4*j**2 - 3*j**n + 7. Suppose 2*v + 8 + 6 = -4*f, 2*v - 4*f - 2 = 0. Give l(v). -2 Suppose -3*u - 8 = u. Let y(z) be the first derivative of z**3/3 + 5*z**2/2 + 3*z + 588. Determine y(u). -3 Let a(p) be the second derivative of p**4/12 + 4*p**3/3 + 7*p**2/2 + 2*p. Suppose 7408*m - 70 = 7422*m. Determine a(m). -8 Let b(m) be the first derivative of m**2 - 2*m - 2*m**2 + 3*m**2 - m**2 - 9. Determine b(5). 8 Suppose -o + 5*r = -6 + 38, r - 5 = 0. Let c(v) = v**3 + 6*v**2 - 11*v - 9. Calculate c(o). 19 Let z be 20/8 - 3/6. Suppose 3*x - 17 = -z*i, 3*i - x - 12 + 3 = 0. Let p(a) = -a**3 + 5*a**2 - 4*a + 4. Give p(i). 4 Let j(t) = 25*t + 18. Let q(p) = -9*p - 6. Let a(s) = 4*j(s) + 11*q(s). Give a(11). 17 Let s(i) be the third derivative of 0 + 1/24*i**4 + 0*i + 28*i**2 - 1/6*i**3. Give s(7). 6 Let n(o) = -2*o - 7. Let r be n(-6). Let h(s) = -s + 0 + 2 + r. Suppose x + x - 10 = -4*g, -4*x = 3*g. What is h(g)? 3 Let i(u) be the third derivative of u**5/60 - u**4/24 - u**2. Suppose 3 = q - w, 0 = 3*w + 18 - 9. Let c be q*(-3)/(-9)*(-1 - -2). Give i(c). 0 Suppose -168 = 2*g - 174. Let m(u) be the third derivative of 1/12*u**4 - 5*u**2 + 0 + 1/60*u**5 + 0*u + 1/3*u**g. What is m(-3)? 5 Suppose 10*x - 8*x + 72 = 0. Let k = 38 + x. Let m(o) = -11*o + 2. Give m(k). -20 Let c(r) = r**3 + r**2 + r - 2. Let w be -1 - (6 + -10) - (-9)/(-3). Calculate c(w). -2 Let d(v) = -179*v - 1259. Let f be d(-7). Let b(p) = 2*p**2 - 7*p + 11. Let q(i) = -3*i**2 + 13*i - 21. Let j(o) = -5*b(o) - 3*q(o). Give j(f). -4 Let o(f) = -3*f + 9. Suppose 0 = -3*y - 3*l - 3, -3*l - 35 = 13*y - 18*y. Determine o(y). -3 Let r(j) = 0 - 5 - 2. Let n(c) = -c - 1. Let v(f) = n(f) + r(f). What is v(-10)? 2 Let x(z) = -9*z - 56. Let h be x(-7). Let n(o) be the third derivative of -1/10*o**5 - 7/24*o**4 + 0*o - 1/120*o**6 - 7/6*o**3 - h*o**2 + 0. Give n(-5). 3 Suppose g = -4*h + 9*h - 25, 25 = 4*g + 5*h. Let r(m) = -m**3 + m - 18. What is r(g)? -18 Let
{ "pile_set_name": "DM Mathematics" }
ment from {q: 2, t: 1, w: 1, n: 3}. Give prob of picking 1 w and 1 t. 1/21 Four letters picked without replacement from ltlltllilill. What is prob of picking 2 i, 1 t, and 1 l? 16/495 What is prob of picking 3 j when three letters picked without replacement from {o: 1, w: 4, j: 3}? 1/56 Three letters picked without replacement from {a: 7, h: 3}. What is prob of picking 3 h? 1/120 Four letters picked without replacement from {p: 12, v: 2, q: 1, e: 3, a: 1}. What is prob of picking 3 p and 1 v? 110/969 Calculate prob of picking 1 c and 1 y when two letters picked without replacement from icciiiciciccccccyii. 10/171 Two letters picked without replacement from {i: 3, z: 5}. What is prob of picking 1 z and 1 i? 15/28 What is prob of picking 1 u and 2 p when three letters picked without replacement from {p: 3, u: 5}? 15/56 Two letters picked without replacement from {q: 3, c: 3}. Give prob of picking 1 q and 1 c. 3/5 Two letters picked without replacement from fcacn. Give prob of picking 1 n and 1 c. 1/5 What is prob of picking 1 s and 2 r when three letters picked without replacement from {v: 1, r: 4, s: 2}? 12/35 Calculate prob of picking 3 e and 1 k when four letters picked without replacement from rkrzbxexrxrxbebbe. 1/2380 What is prob of picking 2 l and 2 f when four letters picked without replacement from fflhsssfsll? 3/110 Three letters picked without replacement from {s: 13, n: 6}. What is prob of picking 3 n? 20/969 Calculate prob of picking 1 r, 1 n, and 2 h when four letters picked without replacement from {b: 1, h: 2, n: 1, m: 2, o: 1, r: 2}. 1/63 What is prob of picking 2 t when two letters picked without replacement from tttttttttttttttttjtt? 9/10 Two letters picked without replacement from {g: 4, x: 5, m: 2}. What is prob of picking 2 m? 1/55 What is prob of picking 1 r and 1 g when two letters picked without replacement from grclckl? 1/21 Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {x: 2, c: 2, e: 1}. 1/5 Two letters picked without replacement from qqquuumqqzququmuu. What is prob of picking 1 m and 1 z? 1/68 What is prob of picking 1 h and 3 d when four letters picked without replacement from {c: 1, l: 1, u: 9, d: 5, h: 1}? 1/238 Calculate prob of picking 2 x and 1 d when three letters picked without replacement from dxxd. 1/2 Three letters picked without replacement from vgifgiiidvovvo. Give prob of picking 1 i and 2 v. 6/91 Three letters picked without replacement from lllillll. Give prob of picking 3 l. 5/8 Two letters picked without replacement from {w: 6, h: 4, f: 4, p: 4}. What is prob of picking 2 p? 2/51 Two letters picked without replacement from nizeyenp. Give prob of picking 2 n. 1/28 Calculate prob of picking 2 v and 1 u when three letters picked without replacement from {u: 1, c: 1, v: 2}. 1/4 Calculate prob of picking 2 z when two letters picked without replacement from {a: 5, e: 3, z: 4}. 1/11 Calculate prob of picking 4 p when four letters picked without replacement from {p: 9, z: 2, q: 2}. 126/715 Two letters picked without replacement from mmmmmmffmm. Give prob of picking 2 m. 28/45 Four letters picked without replacement from wswkrwswwwsnssnnsnkw. What is prob of picking 2 n, 1 s, and 1 k? 24/1615 What is prob of picking 1 z, 2 f, and 1 w when four letters picked without replacement from fnozoozwswwfnfozw? 9/595 What is prob of picking 1 z and 2 t when three letters picked without replacement from {t: 4, z: 7}? 14/55 Two letters picked without replacement from feffffffffffefef. Give prob of picking 2 f. 13/20 Four letters picked without replacement from yojzoyri. Give prob of picking 2 y, 1 o, and 1 r. 1/35 Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {l: 7, m: 6, s: 6}. 14/57 Calculate prob of picking 1 h, 2 s, and 1 p when four letters picked without replacement from sttfshspttts. 2/165 Three letters picked without replacement from mkymmyymymmmmmsmksm. Give prob of picking 2 y and 1 m. 22/323 Calculate prob of picking 4 h when four letters picked without replacement from zzhzzzzzzhzhzhzzzh. 1/612 What is prob of picking 1 o and 1 t when two letters picked without replacement from {f: 1, t: 1, u: 1, n: 1, o: 1}? 1/10 Two letters picked without replacement from {n: 1, p: 4, u: 3}. What is prob of picking 1 n and 1 p? 1/7 What is prob of picking 3 d and 1 x when four letters picked without replacement from {x: 3, d: 13}? 33/70 Two letters picked without replacement from vxvvxxyyvyyuy. Give prob of picking 1 u and 1 v. 2/39 Two letters picked without replacement from jlljd. Give prob of picking 1 l and 1 d. 1/5 Calculate prob of picking 1 g and 3 b when four letters picked without replacement from {g: 4, b: 15}. 455/969 What is prob of picking 1 h, 1 y, 1 t, and 1 w when four letters picked without replacement from ywwwytywayyhayyaa? 1/85 Calculate prob of picking 2 v when two letters picked without replacement from {p: 1, m: 3, v: 2, e: 1}. 1/21 What is prob of picking 3 k when three letters picked without replacement from {e: 1, k: 3}? 1/4 Three letters picked without replacement from {j: 8, k: 7, n: 3}. Give prob of picking 2 n and 1 j. 1/34 Three letters picked without replacement from {p: 1, x: 2, k: 1, y: 4, g: 3}. What is prob of picking 1 p and 2 g? 1/55 What is prob of picking 1 p, 1 o, and 1 i when three letters picked without replacement from oyoipyvpyyoooppoppoo? 4/95 Three letters picked without replacement from {d: 4, u: 15}. Give prob of picking 3 u. 455/969 Two letters picked without replacement from {m: 5, h: 1, s: 1, c: 4}. Give prob of picking 2 m. 2/11 Two letters picked without replacement from {y: 3, x: 2}. Give prob of picking 1 x and 1 y. 3/5 Calculate prob of picking 1 l and 2 u when three letters picked without replacement from {l: 3, u: 2}. 3/10 Two letters picked without replacement from {b: 5, q: 3, x: 1, v: 2, i: 6}. What is prob of picking 2 i? 15/136 Two letters picked without replacement from {h: 1, p: 1, k: 1}. Give prob of picking 1 h and 1 p. 1/3 Calculate prob of picking 2 j and 2 k when four letters picked without replacement from {j: 1, z: 1, a: 1, d: 2, s: 1, k: 1}. 0 Two letters picked without replacement from {m: 2, c: 2, s: 2, e: 4}. Give prob of picking 1 m and 1 c. 4/45 What is prob of picking 2 n when two letters picked without replacement from eevnjn? 1/15 Two letters picked without replacement from khwwxwkkiwhwb. Give prob of picking 1 b and 1 i. 1/78 What is prob of picking 2 z and 1 a when three letters picked without replacement from ztziaitzaziztzazti? 21/272 What is prob of picking 1 u and 1 k when two letters picked without replacement from {u: 1, k: 4, p: 2, q: 2}? 1/9 Two letters picked without replacement from {r: 15, d: 4}. What is prob of picking 2 r? 35/57 Four letters picked without replacement from muqmmwzqsmumw. What is prob of picking 1 u, 1 w, 1 q, and 1 m? 8/143 Two letters picked without replacement from aauauaaa. Give prob of picking 2 a. 15/28 Calculate prob of picking 1 c, 1 z, and 1 x when three letters picked without replacement from {y: 1, c: 1, z: 1, w: 2, p: 1, x: 1}. 1/35 Four letters picked without replacement from yvyyvvvvo. What is prob of picking 2 y and 2 v? 5/21 Two letters picked without replacement from yxlyoyky. What is prob of picking 1 o and 1 k? 1/28 Four letters picked without replacement from {s: 1, m: 4, t: 3, c: 2, e: 7, o: 1}. Give prob of picking 1 s, 2 c, and 1 e. 7/3060 Calculate prob of picking 2 g, 1 m, and 1 l when four letters picked without replacement from {m: 1, p: 2, g: 2, h: 1, l: 2, x: 1}. 1/63 Calculate prob of picking 1 v, 1 p, and 1 x when three letters picked without replacement from {v: 1, p: 2, x: 1}. 1/2 Two letters picked without replacement from sdsdszd. What is prob of picking 2 d? 1/7 What is prob of picking 2 a when two letters picked without replacement from {j: 1, a: 4, e: 2, l: 4, t: 3}? 6/91 What is prob of picking 2 h, 1 e, and 1 o when four letters picked without replacement from ohehhhpohophehoh? 8/65 Three letters picked without replacement from vzvvvnvvnnvvnz. Give prob of picking 2 n and 1 z. 3/91 Two letters picked without replacement from zkgjbejkjbkk. Give prob of picking 1 e and 1 j. 1/22 Two letter
{ "pile_set_name": "DM Mathematics" }
rt(539) + -1)))*1. -56*sqrt(11) + 6473 Simplify (((2*sqrt(576))/(sqrt(128)*2) - (2 + sqrt(72)*1)*3) + 4)**2 + 4. 66*sqrt(2) + 1105/2 Simplify 2 + 5*(4 + sqrt(72)*-1)**2 + -3*(sqrt(72) + 3)*4. -312*sqrt(2) + 406 Simplify (-6*(sqrt(275) + -1) + sqrt(275) + -1 + 1 + sqrt(275) + sqrt(275) + sqrt(275))**2 - 4*-1*-6*sqrt(176). -216*sqrt(11) + 1136 Simplify 2*-3*(sqrt(70)/(sqrt(2) + -2*sqrt(2)))/(sqrt(448) - (2*sqrt(448) + sqrt(448)))*2. -3*sqrt(5)/4 Simplify (-5 + 6*(sqrt(450) + sqrt(450)*-3) + (sqrt(324)/(sqrt(9) + sqrt(36)/sqrt(4)) - sqrt(36))/sqrt(2))**2. 1815*sqrt(2) + 131819/2 Simplify ((-3*(sqrt(700) + 2) - (3*sqrt(700) + -3))*3 + (-4 + (sqrt(700) - 1*sqrt(700)) - -2*(0 + sqrt(700))))**2. 4160*sqrt(7) + 179369 Simplify (sqrt(2057)*-2*-2 + 0 + 4*sqrt(68)*-5*-5 + 0)**2. 1012112 Simplify -2*3*(-5 + (sqrt(4212) - (sqrt(4212) + -1)) + -4) + 2 + 1. 51 Simplify ((sqrt(128) + -1*sqrt(128))/sqrt(8) - sqrt(32)/(sqrt(6)/sqrt(3)))/(sqrt(288)*-3 + sqrt(288) + -3*sqrt(288)). sqrt(2)/30 Simplify 4*((sqrt(72) + sqrt(72) + sqrt(72)*-1 + sqrt(72))/sqrt(9))/(-4*sqrt(12)/sqrt(3)) + (5*(0 + sqrt(2) + (sqrt(8) - sqrt(2)) - (sqrt(162) + 0)) + 3)**2. -212*sqrt(2) + 2459 Simplify -4*6*((sqrt(1088) + ((sqrt(1088) + sqrt(1088) + 1)*-3)**2 - (sqrt(1088) + 1)*6) + -6*(-1*sqrt(1088))**2 + 1). -783456 - 5952*sqrt(17) Simplify 6*(-2*(sqrt(224) + (sqrt(224) - (sqrt(224) - sqrt(224)*-1) - sqrt(224))))/(sqrt(112)*4). 3*sqrt(2) Simplify (5 + 2 + -3*sqrt(1088)*-2 + (-1 + -2*sqrt(1088))*-3*-1)**2. 16 Simplify (((1*sqrt(847) + 1 - (sqrt(847)*2 + 3)) + 2 + 1 + sqrt(847) + sqrt(847) + -1)*-2)**2 + -5. 3383 Simplify -2*(-4*sqrt(2106)*-4)/((4*2*sqrt(10))/sqrt(5))*-3. 108*sqrt(13) Simplify (0 + 6*(4 + (sqrt(17) - (sqrt(17) + 2)*3)))**2 + (1*sqrt(2057)*-2 - (sqrt(2057) + 0)*5). 211*sqrt(17) + 2592 Simplify -2 + -2 + sqrt(1872) + 5*sqrt(26)/sqrt(2) + (sqrt(143)/sqrt(99) - -1*sqrt(39)/sqrt(3)). -4 + 55*sqrt(13)/3 Simplify (0 + sqrt(17))*-1*3 + ((sqrt(204) - (sqrt(204) + (3*1*sqrt(204) - sqrt(204)) + sqrt(204))) + sqrt(204))/sqrt(12) - (-2 + 5*(sqrt(1700)*-2 + -4)). 22 + 95*sqrt(17) Simplify 1 + ((-1*sqrt(90)/sqrt(5)*2)/(sqrt(18)/(sqrt(3)*1) - sqrt(24)/sqrt(36)))**2. 28 Simplify ((((sqrt(3136)*-1)/sqrt(7) - 5*(sqrt(7) - (sqrt(7) - (1 + sqrt(7) + 1 + sqrt(7))))) + -3)*-6)**2*2. 33696*sqrt(7) + 175464 Simplify 5*(0 + sqrt(2057) + sqrt(2057) + -2 + -5)**2 + (-2*sqrt(34)/sqrt(2) + (sqrt(612) + 0)**2 - 3*(sqrt(1088) - sqrt(1088)*2)). -1518*sqrt(17) + 41997 Simplify (-4*(0 + 2 + -2 + (sqrt(44) - (sqrt(44) + -2)) + (-5 + sqrt(704) - (-2 + sqrt(2156)))))**2. 192*sqrt(11) + 6352 Simplify ((sqrt(468)*-3)**2*6 - (2 + (sqrt(468) - (sqrt(468) + sqrt(468)*4)))**2) + (((4*sqrt(468) + sqrt(468))*-6)**2 + sqrt(468) - (2*sqrt(468) + 1)**2). 78*sqrt(13) + 437107 Simplify 3*((1*sqrt(190)*2 + sqrt(190) - (1*sqrt(190) - sqrt(190))*-1)/(sqrt(30)/(sqrt(108) + sqrt(108)*1 + sqrt(108))))**2*-6*4. -3989088 Simplify (-1*2*sqrt(2541)*-1)/((-1*sqrt(147) + sqrt(147) + sqrt(147) - sqrt(147) - sqrt(147))*1*-5). 22*sqrt(7)/35 Simplify sqrt(5) + -4 + 1 + (sqrt(15)/(-5*sqrt(3)))**2 + (-5*2*sqrt(1620))**2. sqrt(5) + 809986/5 Simplify -4*(sqrt(108)/(sqrt(18)/sqrt(9) + sqrt(2)))/(sqrt(288) + (1*sqrt(288)*1 - sqrt(288))). -sqrt(3)/2 Simplify (4*(-2 + 1 + sqrt(162) + -2) - -3*((-5 + (sqrt(162) + sqrt(162)*-3 - sqrt(162) - sqrt(162)) - sqrt(162)) + -1))**2. 5940*sqrt(2) + 20502 Simplify -5*(-3 + 3 + (sqrt(1008) + sqrt(1008) + 2)**2 - ((sqrt(1008) + -1)*5 + sqrt(1008) + 0)**2). -4080*sqrt(7) + 161385 Simplify 4*-6*4*(sqrt(153) - (sqrt(153) + 0))*4*-4 + 4. 4 Simplify 3*(4*sqrt(65)*-1 + sqrt(65) - -5*(sqrt(65) - (sqrt(65)*-1 - sqrt(65)) - sqrt(65)))/(((sqrt(135)*2)/sqrt(3))/(-2*sqrt(144) - sqrt(9))). -189*sqrt(13)/2 Simplify (((sqrt(38)/(sqrt(2)*-2) + sqrt(19) + 5*sqrt(19)*-1 - (sqrt(19) + (-2*sqrt(228))/sqrt(12) + -2)) + 3)*4 + -5)**2*-3. -11847 + 1260*sqrt(19) Simplify (5 + (0 + (-1 + 1 + sqrt(117))*2*-4*5*-4)*-1)**2. -4800*sqrt(13) + 2995225 Simplify (-5 + (3*sqrt(5) + sqrt(5) - sqrt(5) - sqrt(5)))*5 + 5 + -1*(sqrt(45)*-2 + (sqrt(125) + 0 + sqrt(125) + sqrt(125))**2). -1145 + 16*sqrt(5) Simplify (((sqrt(99) + sqrt(99) + (sqrt(99)*-3 - sqrt(99)))*-4)/sqrt(11))/(6*-1*sqrt(12)). -2*sqrt(3)/3 Simplify (-3*sqrt(756)*-4 + -1*(sqrt(756) - (sqrt(756) + -3*sqrt(756))))/(-2*2*sqrt(300) - -1*-2*sqrt(300)). -9*sqrt(7)/10 Simplify (6*5*(0 + sqrt(432)))**2 - (-5*sqrt(60))/(sqrt(5) + sqrt(5) + (sqrt(10) + (sqrt(10) - sqrt(30)/sqrt(3)) - sqrt(10))/sqrt(2)). 5*sqrt(3) + 388800 Simplify 0 + 2 + (((sqrt(72)*-2 - sqrt(72)) + sqrt(2) - (sqrt(162) + sqrt(162) + sqrt(162) + 0)) + -5 + (sqrt(48)/sqrt(2))/sqrt(12) + -1 + sqrt(2) + -1)**2. 588*sqrt(2) + 3579 Simplify (1*sqrt(143)*-1 + sqrt(143) + -5*-1*sqrt(143))/(sqrt(77)/(sqrt(448)*-3)) + 4. -120*sqrt(13) + 4 Simplify (-2*(sqrt(429)/(sqrt(22)/(2*sqrt(2) - sqrt(2))))/((sqrt(243) + (sqrt(243) - sqrt(243)*-2 - sqrt(243)))*-5))**2. 52/18225 Simplify (-2 + (-3*(sqrt(198)/(-4*sqrt(11)) + sqrt(18)))/((sqrt(72)/sqrt(300) - sqrt(6)) + (sqrt(30) + sqrt(270) + sqrt(30))/sqrt(5)))**2. 15*sqrt(3)/7 + 3811/784 Simplify (2*(-1*(sqrt(85) + sqrt(85)*-1) + sqrt(85))*-6)/(((sqrt(360) + sqrt(360) + sqrt(360) + sqrt(360) + sqrt(360)*-1)/sqrt(12))/(6*sqrt(96))). -96*sqrt(17) Simplify -5*((6*(-2 + sqrt(243) + 0 + sqrt(243) + 3))**2 + 4 + 3). -175175 - 6480*sqrt(3) Simplify 2*((sqrt(7) - (4 + -1 + sqrt(7)))**2 + (sqrt(7) + 0 - sqrt(7))*-4 - (sqrt(175)*-2 + -1 + 3)**2). -1390 + 80*sqrt(7) Simplify -5 + 2 + (sqrt(98) - (sqrt(98) - (2 + 3*sqrt(98))))*-6 + 4*(sqrt(98)*-2)**2*3. -126*sqrt(2) + 4689 Simplify 5 + 4*(6*sqrt(84)*2*3)/((sqrt(48)/(sqrt(4) + sqrt(4)*1) - sqrt(12))*6). -48*sqrt(7) + 5 Simplify (sqrt(150)/sqrt(6)*-5)/(sqrt(960)/sqrt(12)) + -1*(4 + -1*sqrt(720) + sqrt(720))*1. -4 - 5*sqrt(5)/4 Simplify -2 + (1*sqrt(132))/sqrt(12) + ((sqrt(33)*-2)/sqrt(3)*4)**2 + (((sqrt(132) - sqrt(132)*2) + sqrt(132))/sqrt(6))/(sqrt(98)*-1). sqrt(11) + 702 Simplify ((-1*sqrt(7) + -4 - (sqrt(140)/sqrt(10))/sqrt(2)) + sqrt(70)/((3*sqrt(110))/sqrt(11))*-3)**2. 24*sqrt(7) + 79 Simplify (-3 + sqrt(396)*-1 + sqrt(396) + 4 - (sqrt(396) + 2*sqrt(396) + 4 + sqrt(396) + -1)**2)*3. -19032 - 432*sqrt(11) Simplify 2*(-4 + (sqrt(243)*-1 - (sqrt(27) - sqrt(27)*1 - sqrt(27)))**2) + -5*-3*1*sqrt(9)/(sqrt(12)/sqrt(4)). 15*sqrt(3) + 208 Simplify (sqrt(135)*-2 + sqrt(135) + sqrt(135) - sqrt(135))/((sqrt(36)/sqrt(4))/sqrt(3)) + 3 + sqrt(320)*-3*2. -51*sqrt(5) + 3 Simplify ((-3*sqrt(264))/sqrt(11))/(-1*sqrt(12)*-6) - 5*((sqrt(128)*-2)**2 - (sqrt(2) - -6*(sqrt(32))**2)). -1600 + 9*sqrt(2)/2 Simplify (-4*(sqrt(39)/(sqrt(3) + sqrt(3)*-1 - sqrt(3)) + 0 + sqrt(325)) + -4 + -1*(sqrt(13) - (sqrt(13) + (sqrt(13) - (-2 + sqrt(13)*-1 + sqrt(13))))))**2. 60*sqrt(13) + 2929 Simplify (-2*(sqrt(500) + (sqrt(500) + 0)**2)*-6 + (1*sqrt(35)/(sqrt(1764)/sqrt(7)))**2)*4. 480*sqrt(5) + 216005/9 Simplify ((sqrt(275)*-3*-4)/(sqrt(176) + sqrt(11)))/(5*sqrt(605)*1*2). 6*sqrt(5)/275 Simplify -4 + (sqrt(80) + 2 + -2*sqrt(80) + sqrt(80) + sqrt(80)*-1*1 + 4)**2 + 1. -48*sqrt(5) + 113 Simplify ((sqrt(35) - (-3*sqrt(1260) + sqrt(1260)))/(2*(sqrt(20)/sqrt(4) + sqrt(5))) + (sqrt(112)/sqrt(4)*6 - sqrt(84)/(sqrt(1452)*1 + sqrt(12))))**2. 57967/36 Simplify ((-5*sqrt(1300))/(sqrt(36)*2))**2 - ((sqrt(1573) + 1 + -2)**2 + -2*(2 + sqrt(1573))). -48395/36 + 44*sqrt(13) Simplify 5*(-5*sqrt(208) + sqrt(13) + sqrt(13) + sqrt(39)/(sqrt(3)*4) - (sqrt(78)/sqrt(6) + 4 - sqrt(78)/sqrt(6)*4)). -295*sqrt(13)/4 - 20 Simplify (2*sqrt(66)*1)/(sqrt(6) - 6*-2*sqrt(6)) + ((-3*sqrt(1584))**2 + sqrt(1584))*2 + -2. 314*sqrt(11)/13 + 28510 Simplify 6*(0 + ((-4 + -2*sqrt(605) - (-1 + -1 + sqrt(605))) + 2)*1)**2. 32670 Simplify (-4*((sqrt(351) - sqrt(351)*6)/sqrt(3) + (-5*sqrt(65)*-6)/sqrt(5)))**2*1. 46800 Simplify (4*(sqrt(315) - (sqrt(315) + (sqrt(315) - (sqrt(315) - (2*sqrt(315) + sqrt(315))))*5)))/(sqrt(7)*1*-5*6). 6*sqrt(5) Simplify -5 + 1 + (sqrt(153) - (-1*sqrt(153) + sqrt(153)))**2 - (6*sqrt(170)/(2*sqrt(40)/sqrt(4)))**2. -4 Simplify 4 + (4*(sqrt(2499) - 1*sqrt(2499)) - sqrt(2499))/(sqrt(27)/(sqrt(1296) + sqrt(1296)*1)). -168*sqrt(17) + 4 Simplify (sqrt(768))**2 + -1 + 3 - (sqrt(600)*6)/(1*sqrt(200)). -6*sqrt(3) + 770 Simplify (-4*((sqrt(1573)*1 - sqrt(1573)) + -2 + -1) - (-2*(-1 + sqrt(1573)) + 5 + 5))**2. 6292
{ "pile_set_name": "DM Mathematics" }
nutes are there between 5:59 AM and 7:21 AM? 82 What is 102 minutes after 10:37 PM? 12:19 AM How many minutes are there between 11:56 PM and 4:59 AM? 303 How many minutes are there between 1:16 AM and 1:56 AM? 40 What is 624 minutes before 9:46 PM? 11:22 AM How many minutes are there between 12:54 PM and 7:42 PM? 408 How many minutes are there between 3:04 PM and 9:42 PM? 398 How many minutes are there between 3:28 PM and 4:16 PM? 48 How many minutes are there between 1:13 AM and 7:54 AM? 401 What is 514 minutes after 7:50 AM? 4:24 PM How many minutes are there between 4:37 PM and 10:48 PM? 371 What is 401 minutes before 3:45 PM? 9:04 AM How many minutes are there between 7:30 AM and 2:53 PM? 443 How many minutes are there between 4:37 PM and 7:10 PM? 153 What is 414 minutes after 9:38 AM? 4:32 PM What is 558 minutes before 11:00 AM? 1:42 AM How many minutes are there between 4:25 AM and 9:16 AM? 291 How many minutes are there between 1:13 PM and 7:12 PM? 359 What is 291 minutes before 9:32 PM? 4:41 PM How many minutes are there between 10:24 PM and 8:13 AM? 589 What is 703 minutes before 12:21 PM? 12:38 AM What is 623 minutes before 9:24 PM? 11:01 AM What is 643 minutes after 7:19 PM? 6:02 AM How many minutes are there between 6:25 AM and 7:28 AM? 63 What is 63 minutes before 2:05 AM? 1:02 AM What is 317 minutes before 8:11 AM? 2:54 AM How many minutes are there between 5:20 PM and 7:41 PM? 141 What is 685 minutes after 6:31 PM? 5:56 AM How many minutes are there between 7:35 PM and 12:26 AM? 291 What is 318 minutes before 11:50 AM? 6:32 AM What is 238 minutes after 3:55 PM? 7:53 PM How many minutes are there between 1:13 AM and 1:48 AM? 35 What is 631 minutes before 9:59 PM? 11:28 AM What is 470 minutes after 9:51 AM? 5:41 PM What is 40 minutes before 7:28 AM? 6:48 AM How many minutes are there between 2:03 AM and 3:05 AM? 62 What is 609 minutes before 1:59 PM? 3:50 AM What is 482 minutes before 4:34 AM? 8:32 PM How many minutes are there between 2:19 AM and 12:29 PM? 610 How many minutes are there between 11:18 PM and 3:44 AM? 266 How many minutes are there between 12:30 AM and 5:43 AM? 313 What is 470 minutes before 9:22 PM? 1:32 PM What is 270 minutes before 7:40 AM? 3:10 AM How many minutes are there between 1:37 PM and 2:21 PM? 44 What is 325 minutes after 6:27 AM? 11:52 AM What is 418 minutes after 10:32 AM? 5:30 PM How many minutes are there between 1:24 AM and 4:41 AM? 197 What is 195 minutes after 10:03 AM? 1:18 PM What is 430 minutes before 8:15 AM? 1:05 AM What is 710 minutes before 3:42 AM? 3:52 PM How many minutes are there between 8:26 PM and 1:19 AM? 293 What is 359 minutes before 2:52 AM? 8:53 PM How many minutes are there between 7:04 AM and 2:32 PM? 448 What is 560 minutes after 1:53 PM? 11:13 PM How many minutes are there between 2:24 PM and 7:01 PM? 277 How many minutes are there between 5:15 AM and 7:32 AM? 137 How many minutes are there between 3:59 AM and 11:46 AM? 467 What is 270 minutes before 2:09 PM? 9:39 AM How many minutes are there between 8:15 PM and 1:35 AM? 320 How many minutes are there between 2:35 AM and 7:35 AM? 300 How many minutes are there between 6:55 AM and 7:39 AM? 44 What is 669 minutes after 2:35 PM? 1:44 AM What is 277 minutes after 5:21 PM? 9:58 PM How many minutes are there between 8:21 AM and 8:30 AM? 9 How many minutes are there between 3:04 PM and 9:32 PM? 388 What is 482 minutes after 6:15 AM? 2:17 PM What is 586 minutes after 11:54 PM? 9:40 AM How many minutes are there between 1:34 AM and 2:23 AM? 49 What is 505 minutes before 11:27 AM? 3:02 AM How many minutes are there between 9:22 PM and 5:10 AM? 468 What is 705 minutes after 2:40 PM? 2:25 AM How many minutes are there between 12:28 PM and 2:10 PM? 102 What is 591 minutes before 5:17 AM? 7:26 PM How many minutes are there between 4:10 AM and 11:29 AM? 439 What is 470 minutes before 9:24 AM? 1:34 AM What is 501 minutes after 11:03 AM? 7:24 PM How many minutes are there between 11:34 AM and 4:23 PM? 289 How many minutes are there between 12:19 AM and 7:47 AM? 448 What is 170 minutes after 12:43 PM? 3:33 PM How many minutes are there between 3:55 PM and 10:49 PM? 414 How many minutes are there between 6:54 AM and 12:36 PM? 342 How many minutes are there between 5:46 AM and 9:57 AM? 251 How many minutes are there between 1:19 AM and 11:37 AM? 618 How many minutes are there between 9:04 AM and 7:40 PM? 636 How many minutes are there between 2:37 AM and 12:32 PM? 595 How many minutes are there between 4:48 PM and 12:00 AM? 432 How many minutes are there between 3:21 AM and 2:31 PM? 670 What is 661 minutes after 4:22 AM? 3:23 PM What is 295 minutes before 9:46 PM? 4:51 PM How many minutes are there between 7:16 PM and 9:32 PM? 136 What is 59 minutes before 10:17 PM? 9:18 PM How many minutes are there between 7:10 AM and 6:25 PM? 675 What is 692 minutes after 3:49 AM? 3:21 PM What is 652 minutes before 6:52 PM? 8:00 AM What is 152 minutes before 6:27 PM? 3:55 PM What is 59 minutes before 1:48 AM? 12:49 AM How many minutes are there between 2:16 PM and 7:05 PM? 289 What is 386 minutes after 11:47 PM? 6:13 AM What is 300 minutes after 10:34 AM? 3:34 PM How many minutes are there between 10:06 AM and 5:00 PM? 414 What is 564 minutes after 8:29 AM? 5:53 PM How many minutes are there between 8:18 AM and 7:55 PM? 697 What is 373 minutes after 7:23 PM? 1:36 AM What is 387 minutes before 12:54 PM? 6:27 AM How many minutes are there between 10:23 AM and 6:34 PM? 491 What is 587 minutes before 1:49 AM? 4:02 PM How many minutes are there between 5:24 AM and 7:49 AM? 145 What is 111 minutes after 4:25 PM? 6:16 PM How many minutes are there between 4:10 AM and 1:58 PM? 588 How many minutes are there between 11:41 AM and 7:18 PM? 457 How many minutes are there between 6:19 PM and 11:42 PM? 323 How many minutes are there between 4:50 PM and 1:12 AM? 502 What is 270 minutes after 10:17 PM? 2:47 AM What is 557 minutes after 1:26 PM? 10:43 PM What is 556 minutes before 6:41 PM? 9:25 AM What is 680 minutes before 8:09 AM? 8:49 PM How many minutes are there between 8:20 AM and 1:30 PM? 310 What is 202 minutes after 1:56 PM? 5:18 PM How many minutes are there between 3:20 PM and 9:20 PM? 360 How many minutes are there between 10:42 PM and 2:33 AM? 231 How many minutes are there between 12:53 PM and 3:57 PM? 184 What is 82 minutes after 2:46 PM? 4:08 PM What is 657 minutes after 1:39 AM? 12:36 PM What is 595 minutes before 7:18 AM? 9:23 PM What is 202 minutes before 1:21 AM? 9:59 PM What is 620 minutes after 4:23 PM? 2:43 AM How many minutes are there between 12:24 PM and 5:26 PM? 302 How many minutes are there between 12:24 AM and 2:43 AM? 139 What is 496 minutes before 6:59 PM? 10:43 AM What is 505 minutes after 9:24 PM? 5:49 AM What is 204 minutes before 5:10 AM? 1:46 AM How many minutes are there between 12:42 AM and 8:10 AM? 448 How many minutes are there between 9:07 PM and 2:10 AM? 303 What is 474 minutes after 2:43 PM? 10:37 PM What is 446 minutes after 3:51 AM? 11:17 AM What is 127 minutes after 3:43 PM? 5:50 PM How many minutes are there between 3:46 PM and 6:50 PM? 184 What is 237 minutes after 1:50 PM? 5:47 PM How many minutes are there between 7:11 PM and 2:53 AM? 462 How many minutes are there between 9:17 PM and 7:12 AM? 595 What is 453 minutes after 11:04 AM? 6:37 PM How many minutes are there between 9:55 PM and 10:57 PM? 62 What is 611 minutes before 3:38 AM? 5:27 PM What is 56 minutes after 1:46 AM? 2:42 AM What is 236 minutes after 12:25 AM? 4:21 AM How many minutes are there between 6:56 PM and 2:58 AM? 482 How many minutes are there between 9:35 AM and 7:30 PM? 595 What is 2 minutes before 5:53 PM? 5:51 PM What is 89 minutes before 3:55 PM? 2:26 PM What is 702 minutes before 9:52 AM? 10:10 PM What is 597 minutes after 3:31 AM? 1:28 PM How many minutes are there between 9:28 AM and 7:04 PM? 576 What is 337 minutes after 12:05 PM? 5:42 PM What is 89 minutes after 10:22 PM? 11:51 PM What is 160 minutes after 1:29 PM? 4:09 PM What is 289 minutes after 1:37 AM? 6:26 AM How many minutes are there between 6:20 AM and 2:54 PM? 514 How many minutes are there between 4:50 AM and 5:02 AM? 12 What is 553 minutes after 9:08 AM? 6:21 PM What is 714 min
{ "pile_set_name": "DM Mathematics" }
factor of 98 and 1134. 14 What is the highest common divisor of 48 and 26808? 24 Calculate the greatest common divisor of 375 and 50. 25 What is the highest common divisor of 198 and 7029? 99 What is the highest common divisor of 116 and 1885? 29 What is the greatest common divisor of 1015 and 175? 35 Calculate the highest common factor of 68 and 119. 17 Calculate the highest common factor of 25 and 3625. 25 Calculate the highest common divisor of 58 and 4379. 29 Calculate the highest common divisor of 139 and 2641. 139 What is the greatest common factor of 1309 and 1386? 77 Calculate the highest common factor of 12 and 42. 6 Calculate the highest common divisor of 245 and 49. 49 What is the greatest common factor of 153 and 5916? 51 Calculate the greatest common factor of 28 and 42. 14 Calculate the greatest common divisor of 54 and 1728. 54 Calculate the highest common factor of 125 and 500. 125 Calculate the greatest common factor of 6 and 2. 2 What is the greatest common factor of 7 and 14? 7 What is the highest common factor of 129 and 172? 43 Calculate the highest common factor of 81 and 297. 27 Calculate the highest common divisor of 873 and 97. 97 What is the greatest common factor of 21 and 17241? 21 Calculate the highest common divisor of 18 and 46. 2 What is the greatest common factor of 30 and 66? 6 What is the greatest common divisor of 16 and 26? 2 Calculate the highest common factor of 47 and 2256. 47 What is the greatest common divisor of 272 and 336? 16 What is the greatest common factor of 232 and 244? 4 What is the greatest common factor of 21618 and 36? 18 What is the highest common divisor of 700 and 625? 25 Calculate the greatest common factor of 75 and 15. 15 Calculate the highest common divisor of 83 and 913. 83 What is the greatest common divisor of 15 and 320? 5 What is the highest common divisor of 640 and 240? 80 Calculate the greatest common divisor of 90 and 6. 6 Calculate the highest common factor of 147 and 1029. 147 What is the greatest common factor of 247 and 13? 13 Calculate the greatest common divisor of 8448 and 99. 33 What is the greatest common divisor of 38 and 76? 38 Calculate the greatest common divisor of 24 and 9. 3 What is the highest common factor of 75 and 207? 3 Calculate the highest common factor of 2410 and 10. 10 What is the highest common divisor of 1100 and 88? 44 What is the greatest common divisor of 77 and 133? 7 What is the greatest common divisor of 513 and 81? 27 Calculate the greatest common factor of 208 and 32. 16 What is the greatest common divisor of 624 and 96? 48 Calculate the highest common factor of 45 and 150. 15 What is the greatest common factor of 340 and 2500? 20 Calculate the highest common divisor of 1640 and 30. 10 Calculate the greatest common divisor of 190 and 65. 5 What is the highest common divisor of 558 and 62? 62 Calculate the highest common factor of 2024 and 1748. 92 Calculate the highest common factor of 38 and 16. 2 What is the greatest common factor of 17015 and 166? 83 Calculate the greatest common factor of 2484 and 108. 108 Calculate the greatest common factor of 48 and 240. 48 What is the highest common factor of 42 and 114? 6 Calculate the highest common divisor of 200 and 10100. 100 What is the highest common factor of 105 and 30? 15 Calculate the greatest common divisor of 66 and 407. 11 What is the greatest common factor of 1679 and 46? 23 Calculate the greatest common factor of 84 and 2688. 84 What is the greatest common divisor of 847 and 275? 11 Calculate the greatest common divisor of 393 and 131. 131 What is the highest common divisor of 88 and 24200? 88 Calculate the greatest common divisor of 63 and 672. 21 Calculate the highest common divisor of 4046 and 5474. 238 What is the greatest common divisor of 335 and 10? 5 Calculate the highest common divisor of 22308 and 312. 156 What is the highest common factor of 48 and 2032? 16 Calculate the highest common divisor of 1146 and 138. 6 Calculate the highest common factor of 10 and 1490. 10 What is the highest common factor of 2354 and 22? 22 Calculate the highest common factor of 7 and 511. 7 Calculate the greatest common factor of 3043 and 51. 17 Calculate the highest common factor of 76 and 9196. 76 What is the greatest common divisor of 2624 and 128? 64 What is the greatest common divisor of 25 and 55? 5 What is the greatest common divisor of 363 and 11? 11 What is the greatest common divisor of 65 and 195? 65 What is the highest common divisor of 27 and 783? 27 What is the highest common divisor of 309 and 1133? 103 What is the highest common divisor of 2056 and 2313? 257 What is the highest common factor of 52 and 286? 26 Calculate the greatest common factor of 2304 and 6. 6 Calculate the highest common factor of 2175 and 1350. 75 Calculate the highest common divisor of 265 and 33920. 265 Calculate the highest common factor of 160 and 4160. 160 What is the highest common factor of 133 and 19? 19 What is the greatest common divisor of 16 and 536? 8 Calculate the highest common divisor of 26 and 182. 26 Calculate the highest common divisor of 72 and 32. 8 What is the highest common factor of 2 and 8? 2 Calculate the greatest common factor of 37 and 8473. 37 What is the highest common factor of 202 and 36? 2 What is the highest common factor of 578 and 29767? 289 Calculate the highest common factor of 41 and 205. 41 What is the highest common divisor of 98 and 1365? 7 Calculate the highest common factor of 3224 and 4712. 248 What is the highest common factor of 220 and 4460? 20 What is the greatest common factor of 424 and 11978? 106 What is the greatest common factor of 11 and 38291? 11 What is the greatest common factor of 47 and 47? 47 What is the highest common divisor of 576 and 396? 36 Calculate the highest common divisor of 9447 and 282. 141 Calculate the greatest common divisor of 770 and 836. 22 What is the greatest common factor of 1170 and 144? 18 Calculate the highest common factor of 10 and 2630. 10 What is the highest common divisor of 2 and 22? 2 What is the greatest common factor of 267 and 623? 89 Calculate the highest common factor of 190 and 19. 19 What is the greatest common divisor of 850 and 102? 34 What is the highest common factor of 44 and 4378? 22 Calculate the greatest common factor of 55 and 4895. 55 What is the greatest common factor of 19 and 1558? 19 Calculate the highest common divisor of 4420 and 765. 85 Calculate the highest common divisor of 10 and 490. 10 Calculate the greatest common factor of 116 and 16. 4 What is the highest common divisor of 318 and 18? 6 Calculate the greatest common factor of 10277 and 172. 43 Calculate the highest common factor of 175 and 315. 35 Calculate the highest common divisor of 406 and 116. 58 Calculate the highest common factor of 11 and 1331. 11 Calculate the highest common divisor of 76 and 266. 38 Calculate the greatest common divisor of 30 and 345. 15 Calculate the highest common factor of 240 and 320. 80 What is the highest common divisor of 904 and 72? 8 What is the highest common divisor of 96 and 120? 24 Calculate the greatest common factor of 34 and 595. 17 What is the greatest common factor of 198 and 114? 6 Calculate the greatest common divisor of 63 and 189. 63 What is the greatest common factor of 105 and 651? 21 Calculate the greatest common divisor of 2095 and 5. 5 Calculate the greatest common divisor of 84 and 276. 12 What is the greatest common divisor of 8 and 72? 8 What is the greatest common divisor of 46575 and 810? 405 What is the greatest common divisor of 384 and 108? 12 Calculate the highest common divisor of 2583 and 28. 7 What is the highest common factor of 519 and 1211? 173 What is the greatest common factor of 3894 and 429? 33 Calculate the greatest common divisor of 2 and 514. 2 Calculate the greatest common factor of 583 and 159. 53 What is the greatest common divisor of 16 and 400? 16 Calculate the highest common factor of 12765 and 30. 15 Calculate the greatest common factor of 7 and 7. 7 What is the greatest common factor of 25 and 25? 25 Calculate the highest common divisor of 444 and 68. 4 What is the greatest common divisor of 2128 and 7? 7 What is the greatest common factor of 86
{ "pile_set_name": "DM Mathematics" }
(-29*p - 4212 + 8429 - 4211) to n*p + l + h*p**2 + u*p**3 and give h. -162 Rearrange (-192 + 496 - 201 - 104 + 581*i)*(2*i - i - 3*i) to the form o + l*i + h*i**2 and give h. -1162 Rearrange (4*r**3 - 5*r**3 - 3*r**3)*(-22*r - 35*r + 25*r + 3*r + 0*r - 2*r + (3*r + 0*r + 0*r)*(-1 + 5 - 3)) to j + v*r**2 + d*r**3 + m*r**4 + y*r and give m. 112 Rearrange 419*u**4 - 4*u**3 - 858*u**4 - 4*u**2 + 443*u**4 to t*u + f*u**3 + p*u**4 + n + o*u**2 and give o. -4 Rearrange -69 - 10*a - 43 + 213 - 29 + 16 to g + j*a and give j. -10 Express -111700546 + 43028*b**2 + 111700546 as p + f*b + m*b**2 and give m. 43028 Rearrange (-151 + 151 + n**2)*(2*n - 1 + 5*n - 5*n + (-n - n - 5*n)*(10 + 1 + 1)) to z*n + u*n**3 + f*n**2 + y and give u. -82 Rearrange 1056*j - 530*j + 123*j**2 - 535*j + (j - 6*j + 4*j)*(-1 + 1 + j) to the form t + l*j**2 + p*j and give p. -9 Rearrange -5*c**2 - 6*c**4 - 228 - 3*c**2 - 9*c**3 + 228 + 11*c**3 to j + i*c + b*c**4 + t*c**2 + x*c**3 and give x. 2 Express 87 + 22*f**2 + 25*f**2 + 0*f**3 + f**3 - 49*f**2 in the form j*f**2 + z + t*f**3 + r*f and give t. 1 Express (0 - 6 + 1)*(5*o**2 + 12*o**2 - 5*o**2) + (5*o + o - 4*o)*(0*o + 3*o - 4*o) as s*o + k + u*o**2 and give u. -62 Rearrange -4*p**2 + 233*p + 150*p + 61*p to h*p + m*p**2 + f and give h. 444 Express 20*k**3 + 193*k**4 + 199*k**4 - k**2 + 358*k - 2 - 385*k**4 - 354*k as t*k**4 + d*k**3 + i*k + j*k**2 + q and give j. -1 Express (-262 + 730 + 432)*(0*r - 2*r + 0*r)*(-r + 2*r**3 + r) in the form l*r**3 + k*r**2 + p*r + c*r**4 + a and give c. -3600 Express (7 + 1 - 1)*(24 + 35 + 33)*(9*g + 7*g - 6*g) as j*g + a and give j. 6440 Express 4546*q**3 - 4545*q**3 - q - 1 + 6*q + 78*q**2 in the form f + s*q + z*q**2 + g*q**3 and give s. 5 Rearrange (27*g - 17*g + 294*g)*(6*g**2 - 2*g**2 + 0*g**2) to the form r*g**3 + y + l*g**2 + f*g and give r. 1216 Express (-o - 7 + 7)*(38*o**2 + 62*o**2 - 19*o**2)*(12 - 12 + 7*o) as w*o**4 + j*o**3 + g*o**2 + s*o + h and give w. -567 Express 6*j**3 - 953 + 1360 - 4*j**3 - 2*j + (4*j**2 - 4*j**2 - 2*j**2)*(-2*j - 4*j + 4*j) as v*j**3 + r*j**2 + g*j + p and give v. 6 Express (-1 + 1 - 2*s**2)*(3 + 0 - 5) - s**2 + 2*s**2 - 2*s**2 - 19 - 238013*s**2 - 238008*s**2 + 12*s + 476010*s**2 as z*s**2 + b + p*s and give p. 12 Express -218*d**2 + 258*d**3 + 28*d**2 + 5*d**4 - 256*d**3 - d - 7*d**4 in the form x*d + c*d**3 + u + s*d**4 + o*d**2 and give x. -1 Rearrange (85*i + 119*i**2 - 64*i - 19*i)*(0 + 11*i - 6*i + 1) to l*i + w*i**3 + c*i**2 + u and give w. 595 Rearrange n**2 - 1312*n - 1226*n + 2205*n to the form o + u*n + f*n**2 and give u. -333 Rearrange -128537*u**2 + 128537*u**2 + 557*u**3 + (-8*u - 2*u**2 + 8*u)*(-2*u + 2 - 2) to the form s*u**3 + l*u + x + c*u**2 and give s. 561 Express (3*k + 7*k + 2*k)*(k - 2*k + 3*k) + 3 + 2*k**2 - 3 + (0 + 6 + 7)*(0*k - 4*k + 2*k)*(0*k + 4*k - 2*k)*(-2 - 1 - 5) as q + z*k**2 + m*k and give z. 442 Rearrange -287*t**2 - t**3 + t + 11378 + 2*t**3 - 5688 - 5690 to h + v*t**3 + w*t**2 + u*t and give h. 0 Express -24*y + 91*y - 43*y - 40*y + 81 as g + u*y and give u. -16 Express 896*s - 3715*s - 2228*s in the form b + o*s and give b. 0 Express (2 - 3 + 3)*(-7*b - b - b) - 4*b - 2*b + 5*b + 429*b - 95*b - 5 - 14 + 19 in the form n + o*b and give o. 315 Rearrange (11819*n + 571 + 609 + 47331*n - 1180)*(-n - 3*n + 6*n) to the form g*n**2 + y + p*n and give g. 118300 Express 14596 + 5*g**2 - 159*g - 7315 - 7281 as a*g + d + p*g**2 and give p. 5 Express -6*i**2 + 1213 - 606 + 61*i - 607 in the form g*i + u + f*i**2 and give u. 0 Express (3*c - 4*c - c)*((1 + 0 - 2)*(-5 - 5*c - 2*c + 3) + (14 + 6 - 4)*(0*c - 6*c - 4*c)) - 3*c**2 + 0 + 0 in the form o*c + p*c**2 + h and give o. -4 Rearrange 271 + 0*p + 23*p**2 + 25*p**2 - 3*p - 288 - 47*p**2 to the form v + t*p + x*p**2 and give t. -3 Rearrange 38*x**2 + 10*x**3 + x - 142*x**2 + 2*x**4 - 1 + 48*x**2 + 54*x**2 to the form y*x + s*x**2 + p + z*x**4 + c*x**3 and give y. 1 Rearrange -8*w**2 + 39*w**2 + 30*w - 3 - 45*w**2 to z*w + h*w**2 + i and give h. -14 Express -3827*a**2 + 6 - 5 - 1 - 5524*a**2 as h*a**2 + q + y*a and give h. -9351 Express -6557*k**4 + 6537*k**4 - 2*k**3 + 1 + 150*k**2 - k - 145*k**2 as r*k**2 + j*k**4 + m*k**3 + q + n*k and give n. -1 Express -2*s**2 + 2*s - 798 + 72 + s**2 - 8 as a*s + x + v*s**2 and give v. -1 Express -6*w - 72 + 49 + 313 + 123 + 8*w as r + y*w and give r. 413 Express ((-3 - 2 + 3)*(0 + 3 - 2) - 1 + 2 + 1 - 3 + 3 + 1 + 0 + 6 - 2)*(44*l**3 + 24*l**3 + 30*l**3) as s*l**3 + x*l + k + i*l**2 and give x. 0 Rearrange 91*s - 579*s**2 + 571*s**2 + 22*s to q*s + m*s**2 + w and give q. 113 Express (-r + 9*r - 37*r)*(-4*r + 4*r - 4*r)*(-3*r**2 - 11*r + 11*r) in the form p*r**3 + d*r + s + j*r**4 + o*r**2 and give j. -348 Express 199*x - 769*x - 6317*x in the form v + u*x and give u. -6887 Rearrange (1093 - 297 + 740)*(0 + 1 + 0)*(s**2 - 2*s**2 + 7*s**2) to k*s + y + z*s**2 and give z. 9216 Express (-6 + 4 + 4)*(0 - 2*f + 0)*(-266 + 8267*f**2 - 392 + 658) in the form u + r*f + d*f**2 + s*f**3 and give s. -33068 Rearrange -2967 - 863 + 307 + 2*h to r + z*h and give r. -3523 Express -7*d**4 - 31 - 389 - 391 + 267 - d**3 in the form v*d**2 + w*d**4 + h*d**3 + x*d + g and give h. -1 Express ((0 - 2*z + 0)*(-72988 + 72988 + 332*z**2) - 4 + 4 + 3*z**3)*(0 + 0 - 2) as h + w*z**2 + q*z**3 + j*z and give q. 1322 Express (4 - 4 - 1)*(1920*w**2 + 12*w**2 + 3041*w**2 - 789*w**2) in the form p + c*w**2 + b*w and give c. -4184 Rearrange 37*m**3 - 10*m**2 - 5*m**4 - 182 + 4*m**4 + 181 + 15*m**3 to the form w*m**2 + o*m + j + v*m**4 + t*m**3 and give v. -1 Rearrange 27 + 12132*h**3 - 6*h - 12108*h**3 + 4*h to m*h**3 + n*h + u + b*h**2 and give n. -2 Express (-4*r + 2*r + 5*r)*(10 - 1 - 10) - 33*r + 53*r + 9*r + 2 as a + u*r and give a. 2 Express (-4 + 2 - 1)*(3 + 4 - 6)*(114*m + 305*m - 857*m - 80*m) as b*m + a and give b. 1554 Express 83 - 46 - 8038*y - 37 - 21027*y as i + t*y and give i. 0 Express 2*x - 3*x**2 + 13*x**3 + 2605 - 2598 - x**3 - 6*x as o*x + a*x**2 + r + i*x**3 and give i. 12 Rearrange (-n + 2*n - 10*n)*(-1287*n + 4 - 925*n + 648*n - 4) to r*n**2 + l*n + g and give r. 14076 Rearrange -883*y**2 + 8771882 - 8771882 + (6*y - 12 + 12)*(y - 4*y + 4*y) to z*y**2 + g + n*y and give z. -877 Express (831*b + 853*b - 2301*b)*(0*b**2 + 3*b**2 - 2*b**2) + 2*b**3 + b**3 - b**3 + (-b - b**3 + b)*(-4 + 6 + 0) as g*b**3 + l*b**2 + y + q*b and give g. -617 Rearrange 3 - 5 + 10*i**3 + 109*i - 12*i**4 - 6*i**3 - 91*i to y*i**4 + j*i + n*i**2 + r*i**3 + s and give s. -2 Rearrange (-1504 - 910*h - 1488 + 2993)*(27*h**3 - 241*h + 241*h) to the form v*h**2 + y*h**4 + q*h**3 + p + i*h and give q. 27 Rearrange 2318*i + 10626*i - 21557*i + (-2 + 0 + 0)*(2*i + 0*i + 0*i) to the form r + o*i and give o. -8617 Express (2*b + 4*b - 59*b)*(-340 + 1047*b**2 - 1049*b**2 - 9*b + 10*b) as t + l*b**2 + f*b**3 + d*b and give f. 106 Express -12087*h**2 - 21*h - 21010*h**2 + 21*h as a*h + y + l*h**2 and give l. -33097 Express -9 - 3*p**2 + 0*p + 9*p**2 + p - 16 - 12*p**2 as g + y*p + o*p**2 and give o. -6 Rearrange 5 + 3*g**2 - 6 + 20*g - g**2 + 6 to t*g**2 + z + x*g and give x. 20 Express (3915 + 4280 + 15220 + 7139 + 3214)*(-5*y + 2*y + 2*y)*(-1 + 2*y + 1) as i*y**2 + t + w*y and give i. -67536 Express -4*f + 3*f - 4*f - f + 0*f + 8*f + (0 - 2 + 1)*(f + 0 + 0) + 0*f + 6*f - 4*f + (2*f - 4*f + 0*f)*(0 - 6 + 3) as s*f + i and give s. 9 Rearrange (2*x - 4*x + x)*(30 + 30*x - 312*x - 28) to the form l*x + q + r*x**2 and give r. 282 Express 8 - 8 + 11*h**3 + (14 + 20 - 4)*(3*h - 3*h + h**3) + 0*h - h**3 + 0*h**3 - 2*h as l*h + g*h**2 + t*h**3 + f and give l. -2 Express 2*l**2 + 2*l**2 - 3*l**2 + (4263 - 4263 - 350*l)*(l - 4*l + 5*l) in the form j*l + d*l**2 + k and give k. 0 Rearrange -1560*b - 1848*b + 2492*b to y*b + r and give y. -916 Express (-1 + 1 + s)*(-3 - 1 + 5)*(3 + 7 - 1)*(793 + 77*s - 793 - s + 2 - 2 + (-1 + 3 + 0)*(2*s - s - 3*s) - 9*s - s + 2*s) as p*s + b*s**2 + a and give b. 576 Rearrange 789 - 2*a + 0*a**2 - 968 + 1339 + 2*a**2 + 4*a to c*a + v + k*a**2 and give k. 2 Express -226*p**3 - 17*p**4 + 2 - 11*p**4 + 7*p**4 + 13*p**4 + 6*p**4 - 2*p - 2*p**2 in the form t + b*p**4 + c*p**3 + r*p**2 + l*p and give l. -2 Rearrange (156840*z**2 + 380 - 1244 + 428 + 436)*(1 + 4 - 4) to r
{ "pile_set_name": "DM Mathematics" }
e -105 = -5*b + 5*s, -4*b + p*s + 42 + 45 = 0. What are the prime factors of b? 2, 3 Let q = -42323 - -108155. List the prime factors of q. 2, 3, 13, 211 Let r = -10 + 40. Suppose -t + 10 = -3*y - 0*t, 5*t + r = -y. List the prime factors of y/(-15) + (-96)/(-9) + -2. 3 Let x(w) = 13*w**2 + w - 609. What are the prime factors of x(-23)? 5, 1249 Let x(t) = 121*t - 48. Suppose -6*i = -2*v - 2*i + 10, -2*v - 2*i + 16 = 0. What are the prime factors of x(v)? 17, 47 Let l = 3766 + -813. List the prime factors of l. 2953 Let l be (14 - 4)/((-1)/(2*-16)). Suppose -3*d = d - l. Suppose -3*p - 305 = -5*i + i, -i - 3*p + d = 0. What are the prime factors of i? 7, 11 Let k = -1117 - -2306. List the prime factors of k. 29, 41 Suppose -5*n + 2 = -13. Let v be (4/(-16) - (-5)/4)*n. Suppose -2*f = 5*h + f - 258, 5*f + 148 = v*h. What are the prime factors of h? 3, 17 Suppose 60*i + 3720149 = 223*i. List the prime factors of i. 29, 787 Let h(x) = 7*x**2 + 5*x + 17. Let i be h(-11). Suppose v + 2*s + s = 402, s = -2*v + i. List the prime factors of v. 3, 5 Let n(w) = 3*w**2 + 2*w - 1. Let v be n(1). Suppose -5*z + 2*o - 55 = v*o, 4*z = 2*o - 62. Let i = 30 + z. List the prime factors of i. 17 Suppose -70*a + 155*a - 32269 = 62*a. What are the prime factors of a? 23, 61 Suppose 5*h + 3003 = 18*h. What are the prime factors of h - (-4 - (3 + -3))? 5, 47 Suppose 3*q + 230 = 2*b + 7*q, -b + q = -103. Suppose 3720 = b*p - 104*p. List the prime factors of p. 2, 5, 31 Let l(i) = -233*i + 4628. List the prime factors of l(0). 2, 13, 89 Let t(v) = -21*v**3 + 5*v**2 + 36*v + 198. What are the prime factors of t(-14)? 2, 103, 283 Suppose -436*n + 262908 = -871*n + 441*n. What are the prime factors of n? 2, 3, 67, 109 Let o = 77 - 61. Suppose -4*l - 15768 = -o*l. Suppose -10*u + l = -446. What are the prime factors of u? 2, 11 Let r(h) = -h**3 - h**2 + 2*h + 9. Let v be r(0). Let x be (1/(-2))/(7/(-308)). Let u = v + x. List the prime factors of u. 31 Suppose o = 3*r + 6 - 3, -3*o - 3 = 3*r. Suppose 0*j = c - j - 5, -2*c - 4*j - 2 = o. Suppose 5*n - 53 = -q, -n - 95 = -c*q - 0*q. List the prime factors of q. 3, 11 Let r(a) = 178*a**3 - 5*a**2 + 12*a + 13. List the prime factors of r(3). 2, 5, 13, 37 Let u = 32775 + -13155. List the prime factors of u. 2, 3, 5, 109 Let a be ((-12)/3 - (-14)/3)*3. Suppose x - a*x = -35. List the prime factors of (42/4)/(x/(-18) - -2). 3, 7 Let m(w) = 50*w**2 - 54*w + 5. What are the prime factors of m(-24)? 31, 971 Let h(z) = -58*z - 19*z**2 - 13 + 26*z - 3*z**3 - z**3 + 12*z. What are the prime factors of h(-9)? 2, 193 Let i(v) be the second derivative of -127*v**3/6 - 55*v**2/2 + 223*v. List the prime factors of i(-7). 2, 3, 139 Let l(r) = -6*r + 5. Let f be l(1). List the prime factors of f*2340/(-6) + -6. 2, 3 Let k(a) be the third derivative of -a**6/120 - a**5/6 - 7*a**4/24 + 5*a**3/3 - 24*a**2. Let p be k(-7). Let x = 110 - p. List the prime factors of x. 2, 3, 11 Let u = -709 + 175. Let o = u + 816. List the prime factors of o. 2, 3, 47 Let c(t) = -t**3 - 9*t**2 - 10*t + 10684. What are the prime factors of c(0)? 2, 2671 Let c(z) = z**2 + 12*z - 41. Suppose 14*j = 5*j + 36. Suppose x + x = -r - 45, 3*x = -j*r - 65. What are the prime factors of c(x)? 2, 53 Let t(q) = 20*q + 302. Let u be t(-15). Suppose -3*f = -5*f - u*c + 2018, 4*c = -5*f + 5047. List the prime factors of f. 3, 337 Let v(m) = 172*m**2 - 6. List the prime factors of v(3). 2, 3, 257 List the prime factors of ((-196)/6 + 0 + 5)*(-6 - 738). 2, 31, 83 Let v = 2874 - -2011. What are the prime factors of v? 5, 977 Let n be 20/6 - 10/(-6). Suppose -n*l - 51 = 3*r + 722, 1 = -r. What are the prime factors of (-124)/(-7) + (-44)/l? 2, 3 Let w = 110 - 106. Let o be 4 + w + (-18)/(-6). Suppose 2*d + 1521 = o*d. List the prime factors of d. 13 Let j(x) = 11*x**2 - 3*x - 54. Let v be j(-8). What are the prime factors of (-1 - 5) + v + 8? 2, 13 Let v(u) = 51*u**3 + 4*u**2 - 6*u + 7. Let y be v(2). Suppose -y = -12*n + 1. Suppose 5*k - 4*m = 405, 3*k - n - 200 = 4*m. List the prime factors of k. 5, 17 Let u = 43318 + -28385. List the prime factors of u. 109, 137 Let u(v) = 2853*v - 2776*v + 41 - 346. List the prime factors of u(24). 1543 Let a be (-30)/4*(-760)/228. Suppose -a*k + 13*k + 8664 = 0. What are the prime factors of k? 2, 19 Let n be ((-22)/(-4))/((-4)/(-680)). List the prime factors of -2 + n - 120/(-24). 2, 7, 67 Let j(g) be the first derivative of -g**4/4 + 14*g**3/3 - 5*g**2 + 14*g + 44. What are the prime factors of j(13)? 53 Let m(j) = j**3 - 13*j**2 - 7*j - 3. Let v be 72/(-126) + (-624)/(-14). Suppose 4*x = -3*i + 14 + v, -3*x - 58 = -5*i. List the prime factors of m(i). 5, 19 Suppose 3*d = -3*m + 32541, -629*m + 43397 = -625*m - 5*d. List the prime factors of m. 2, 3, 113 Let x(u) = -352*u**3 - 12*u**2 - 36*u + 5. List the prime factors of x(-3). 37, 257 Let f = -8429 - -11818. List the prime factors of f. 3389 Let r(f) = -84*f - 19. Suppose 0 = -7*g - 6 - 8. Let s be r(g). Suppose k + s = x, -3*x - 604 = -7*x + 2*k. What are the prime factors of x? 3, 17 Let n(c) = 370*c - 17. Let b be n(-1). Let q = 1129 + b. What are the prime factors of q? 2, 7, 53 Let o = -62 + 66. Suppose -643 = -o*x + 253. Suppose 0 = -s + 4*z + 128, x + 115 = 3*s - 3*z. What are the prime factors of s? 2, 3 Let o = 4298 + -2339. What are the prime factors of o? 3, 653 Let z = 364 - 148. Let j = 4 + z. List the prime factors of j. 2, 5, 11 Let t = 62 - 59. Suppose -t*m + r - 528 = -0*r, m = r - 176. Let s = m - -256. What are the prime factors of s? 2, 5 Suppose -5*h = -3*t - 4*h + 1814, -2*t + 4*h + 1216 = 0. Let k = t - 255. List the prime factors of k. 349 Let r be 14/(-6)*(1 - 13). Let g(w) = 2*w**2 + 17*w - 92. Let f be g(4). Suppose 5*z = 2*n + r, 0 = f*z - 3*z + n - 31. What are the prime factors of z? 2, 3 Suppose -6*l - 5*h + 17 = -4*l, 2*l + h + 3 = 0. List the prime factors of -279*14/(-21) + l. 2, 7, 13 Let m(d) = -d**3 + 5*d**2 + 8*d + 3. Let v be m(6). Suppose -5*g + 615 = 4*h, -5*g - 4*h + 5*h + 640 = 0. Let s = g - v. What are the prime factors of s? 2, 7 Let x = 7 + -14. Let o(f) = 2*f**2 + 7*f - 19. Let m be o(x). Suppose -198 = m*b - 33*b. List the prime factors of b. 2, 3, 11 Suppose 159850 - 479380 = -6*s. List the prime factors of s. 5, 10651 Let m = -7 + 13. Suppose -10*w = -m*w - 2952. Suppose y - 10*y = -w. List the prime factors of y. 2, 41 What are the prime factors of 7245/1 - (-23)/(529/(-92))? 13, 557 Let b(m) = -3*m**3 + 6*m**2 - 8*m - 15. Let s be b(-13). Suppose -26*o + s = -2082. What are the prime factors of o? 2, 47 List the prime factors of (-3578430)/(-606) - (0 - -16). 3, 13, 151 Let z = -37588 - -57950. List the prime factors of z. 2, 10181 Suppose -248 = -6*a + 970. Let k = a + 3. List the prime factors of ((-2)/4)/((-1)/k). 103 What are the prime factors of (130883 + 13)/12 + 4? 2, 11, 31 Let f(t) = t**3 + t**2 - 4*t + 5. Let o be f(2). Let b be (-8)/(-3)*o/6*2. Suppose y - 58 = 5*l - 10*l, -4*y - b = 0. What are the prime factors of l? 2, 3 Let d be (309/2)/(-3 - (-35)/10). Suppose 0 = -2*l + 447 + d. Suppose -16*k = -13*k - l. What are the prime factors of k? 2, 3, 7 Suppose -4*x = -5*b - 486, 93 = -5*x + 3*b + 694. Let i = 286 - x. What are the prime factors of i? 167 Let a(t) = t**3 - 4*t**2 - 5*t + 23. Let n be a(4). Suppose -2*h - 3*r = n*h - 2758, -r = -h + 558. List the prime factors of h. 2, 277 Let s(b) = 2*b**2 - 9. Let o be s(-3). Let r be (-2 + -1)/(o/6) - 6. Let u(q) = -13*q - 8. What are the prime factors of u(r)? 2, 3 Suppose 36 = -8*h + 4*h. Let f be 1/h - (-738)/81. Suppose f*y - 40 = 212. List the prime factors of y. 2, 7 Suppose -3*d = -3*g + 7827, -5208 = -2*g - 29*d + 33*d. List the prime factors of g. 2, 1307 Let b(q) = 8*q**3 + 6*q**2 - 10*q + 17. Suppose 2 = 2*y - 6. List the prime factors of b(y). 3, 5, 13 Let m(l) = -l**3 + 45*l**2 - 85*l - 16. Let p be m(43). What are the prime factors of 8/12 + 23796/p? 2, 3, 7 Suppose -30*a + 3308 = -26*a. Let u = a + -512. What are the prime factors of u? 3, 5, 7 Suppose 5*q = 5*l - 111020, -2*q = 27*l - 26*l - 22222. What are the prime factors of l? 2, 5, 2221 List the prime factors of 5/(-80) - (30/345 - (-16245525)/(-1104)). 3, 5, 109 Suppose -18 - 30 = -24*n. Suppose 5*w =
{ "pile_set_name": "DM Mathematics" }
123 + 1128*b - 560*b + 197 - 566*b. Let y(c) = -6*c**2. Determine t(y(r)). -12*r**2 + 725 Let k(g) = 3*g. Suppose 4*b = 4 + 20. Let c(r) = 4*r**2 + 8*r. Let p(j) = 4*j**2 + 6*j. Let f(z) = b*p(z) - 4*c(z). What is f(k(h))? 72*h**2 + 12*h Let a(z) be the second derivative of -z**3/3 - z. Let v(w) = 36*w + 4*w - 7*w - 14*w + 11 - 7*w. Calculate a(v(h)). -24*h - 22 Let n(f) = -90*f**2 - 5*f - 10. Let j(h) = -901*h**2 - 51*h - 102. Let l(d) = -5*j(d) + 51*n(d). Let i(p) = -13*p - 5*p + 18*p - 3*p**2. What is l(i(r))? -765*r**4 Let f(k) = 13*k - 16 - 59 + 75. Let n(b) = 26*b**2. What is f(n(w))? 338*w**2 Let m(q) = -505103497*q. Let n(v) = 2*v**2. Calculate n(m(j)). 510259085363258018*j**2 Suppose 0 = -q - 2*q - 2*y + 26, -3*q + 3*y = -6. Let d(l) = 3 + 2*l + 7 - 16 + q. Let s(z) be the third derivative of z**5/15 - z**2. Give d(s(j)). 8*j**2 Let u(p) = 85*p + 257. Let r(k) = -3*k + 2. What is r(u(a))? -255*a - 769 Let s(u) = 170*u. Let m(p) = 18420*p**2. Calculate m(s(v)). 532338000*v**2 Suppose 0 = s + 1, 5*s - 3 = 2*d - 32. Let w = 55 - 36. Let c(p) = -w*p + d*p - 17*p. Let z(a) = -2*a. Give c(z(u)). 48*u Let q(j) = 427*j**2. Let o(b) be the second derivative of 2*b**3/3 - 2*b - 155. Determine o(q(u)). 1708*u**2 Let g(v) be the first derivative of 13*v**3/3 + 6. Let z(n) = -3*n**2 + 27887388 - 27887388. Give z(g(k)). -507*k**4 Let u(j) = 336*j - 596. Let f(o) = -17*o. Calculate u(f(a)). -5712*a - 596 Let w(j) = -16120*j. Let p(b) = -1879*b**2. Calculate w(p(y)). 30289480*y**2 Let i(j) be the second derivative of -j**3/6 + 30*j**2 - 14*j + 12. Let u(l) = l. What is u(i(g))? -g + 60 Let n(g) = -153*g**2 + 3. Let k(m) be the first derivative of 178 + 0*m + 0*m**2 - 2/3*m**3. Determine n(k(w)). -612*w**4 + 3 Let s(y) = -3387950 + 3387950 - 5*y. Let l(u) = -341*u. Calculate s(l(f)). 1705*f Let q be ((-42)/(-4))/(0 + 18/48). Suppose 24*k = q*k - 132. Let c(z) = -36*z + 63*z - k*z. Let p(a) = 3*a. Determine c(p(t)). -18*t Let q(h) = 2*h - 12017. Let x(j) = -3837*j. What is q(x(i))? -7674*i - 12017 Let r(s) = -s**2. Let m(u) = -10038711*u**2. Give m(r(g)). -10038711*g**4 Let h(c) be the third derivative of -c**4/12 + 7*c**2. Let i(y) = -47*y + 18. Let t(m) = -5406*m + 2067. Let q(w) = 689*i(w) - 6*t(w). What is h(q(k))? -106*k Let y(a) be the second derivative of -a**3/3 + 4*a - 1. Let s(v) = 468*v**2. Calculate s(y(b)). 1872*b**2 Let j(g) be the third derivative of -g**5/60 - 141*g**2. Let h be -2 - -7 - (1 + 0). Let k(s) = 4 - h - 5*s. Calculate j(k(p)). -25*p**2 Let w(a) = -27*a - 2851. Let k(h) = -14*h - 1555. Let x(t) = 11*k(t) - 6*w(t). Let v(m) = 4*m**2 - 3*m**2 + 5*m**2. Calculate x(v(q)). 48*q**2 + 1 Let w(a) = 6403*a - 12819*a + 6412*a. Let q(u) = u - 22. Determine q(w(m)). -4*m - 22 Let n(d) = 2*d. Suppose 2*k - 1774 - 1794 = 0. Let t(u) = u**3 - 2*u**2 - 10*u + 22. Let y be t(2). Let l(x) = -34*x**y - k + 1784. Determine n(l(j)). -68*j**2 Let v(o) = -1834*o. Let n(c) be the second derivative of -c**4/12 + 2*c + 198. What is v(n(a))? 1834*a**2 Let u(k) = 8*k - 1562. Let y(i) = 3*i - 7. Let a(t) = -u(t) + 3*y(t). Let x(j) = -2*j**2. Calculate a(x(v)). -2*v**2 + 1541 Let y(z) = 67*z**2. Let u(l) = -333073*l. What is u(y(x))? -22315891*x**2 Let p(o) = -2*o. Let u(h) = 8*h - 1192. Let m(k) = 22*k - 3568. Let b(s) = 3*m(s) - 8*u(s). Determine b(p(y)). -4*y - 1168 Let s(o) = -4*o + 14. Let a(p) = -920*p + 2898. Let y(m) = a(m) - 207*s(m). Let k(c) = -5*c. Determine y(k(g)). 460*g Let y(q) = -2*q**2. Let i(g) be the second derivative of 0*g**2 + 0*g**3 + 123/4*g**4 + 2*g - 14. What is y(i(c))? -272322*c**4 Let r(h) = -h. Let j(u) = -101248551*u + 1 + 101248544*u + 63*u**2 - 1. Give j(r(b)). 63*b**2 + 7*b Let r(g) = 2*g**2. Suppose -5*b + 21 = 3*a, -18*a = -13*a - 2*b - 4. Let l be 9/1 - (0 - 1). Let v(w) = -w**a + l*w**2 - 16*w**2 - 21*w**2. Determine v(r(x)). -112*x**4 Let d(u) = -2*u. Suppose 0 = -10*s - 2*s + 1116. Let a(i) = -s*i + 175*i - 97*i. What is a(d(k))? 30*k Let j(f) = -54*f**2 - 48*f + 6. Let p(z) = -10*z**2 - 8*z + 1. Let k(y) = -2*j(y) + 12*p(y). Let a(n) = -n**2. Give k(a(r)). -12*r**4 Let v(d) = 679268*d. Let c(g) = -46*g. Calculate v(c(u)). -31246328*u Let j(g) = 5*g. Let f(p) = -5*p - 77. Let c be f(-17). Let i(b) = -5*b - b + c*b. What is i(j(w))? 10*w Let m(c) = 7043*c. Let o(z) = 98*z**2 + 5*z. What is o(m(w))? 4861177202*w**2 + 35215*w Let a(h) = -42*h + 15. Let s(z) be the third derivative of -z**4/12 + 59*z**2 + 15. Give a(s(w)). 84*w + 15 Let p(j) = 73*j - 11. Let a(t) = 25*t - 4. Let l(y) = -11*a(y) + 4*p(y). Let d(x) be the first derivative of 0*x**2 + 0*x + 1/3*x**3 - 4. Determine d(l(r)). 289*r**2 Let b(r) = 3*r**2 - 3*r. Let m(z) = -4*z + 15. Let q(y) = -9*y - 3 - 5*y + 5*y + 10*y. Let x(s) = m(s) + 5*q(s). What is b(x(v))? 3*v**2 - 3*v Let l(u) be the second derivative of 0 + 0*u**2 - 1/2*u**3 + 13*u. Let r(m) be the second derivative of -m**3 + 6*m. What is r(l(t))? 18*t Let k(o) = -2*o. Let u(w) = 816 - 262 - 7*w - 241 - 283. Calculate k(u(d)). 14*d - 60 Let u(a) = -30*a**2 + 4095*a. Let p(v) = 7*v**2 - 945*v. Let t(m) = 26*p(m) + 6*u(m). Let b(n) be the first derivative of 85*n**2 - 1. What is b(t(i))? 340*i**2 Let o(w) = -3*w. Let d(r) be the first derivative of 6*r - 5/6*r**3 + 0*r**2 - 1. Let l(x) be the first derivative of d(x). What is l(o(j))? 15*j Let u(w) = -11*w - 3. Let y(t) be the first derivative of 2*t**2 + 1166. What is y(u(h))? -44*h - 12 Let k(y) = -y**2. Let a(s) be the first derivative of -33*s**2 + 671. Calculate k(a(z)). -4356*z**2 Let g(z) = 91265*z. Let a(j) = -3*j + 4. Determine a(g(q)). -273795*q + 4 Let s(t) = -7*t**2 + 1. Suppose 0*x = 8*x - 264. Let u(d) = -3*d**2 + x*d - 32*d - d. Calculate s(u(f)). -63*f**4 + 1 Let y(j) = 59*j**2 - 319*j**2 + 0 + 201*j**2 + 0. Let f(s) = 204*s**2. Calculate y(f(h)). -2455344*h**4 Let i(c) be the first derivative of -c**3 + 39*c**2/2 - 2491. Let h(m) = 3*m. Calculate h(i(v)). -9*v**2 + 117*v Let c(y) = 6*y + 5. Let f(t) = -42*t - 36. Let o(u) = -36*c(u) - 5*f(u). Let w be (1 + (-12)/4)/(-1). Let s(k) = 2*k**w + 7*k - 3*k - 4*k. Give s(o(j)). 72*j**2 Let a(d) be the first derivative of 2*d**3 + 425. Let r(t) = 44*t. Calculate r(a(p)). 264*p**2 Let m(l) = l. Let a(b) be the third derivative of 5*b**2 - 7/60*b**5 + 0*b**4 + 0 + 0*b + 15/2*b**3. Let d(z) be the first derivative of a(z). What is d(m(g))? -14*g Let h(g) be the second derivative of -2*g**3/3 + 845*g. Let b(s) be the second derivative of -1/4*s**4 + 0*s**3 + 0 - 2*s + 0*s**2. Give h(b(p)). 12*p**2 Let v(y) = -2*y. Let x(d) = -23*d + 12. Let c(u) = -20*u + 14. Let h(s) = 4*c(s) - 3*x(s). Let a(n) = 3*n + 1. Let r(z) = -4*a(z) - h(z). Give r(v(q)). 2*q - 24 Let k(t) = -13*t**2 + 5*t**2 + 0*t**2 + 7*t**2 - t**2. Let m(h) = -76*h**2. Calculate k(m(s)). -11552*s**4 Suppose 13*w - 1533 - 53 = 0. Let t(z) = 46 + 10 + w*z**2 - 124*z**2 - 14. Let s(k) = -2*k**2. Calculate s(t(l)). -8*l**4 + 336*l**2 - 3528 Let s(k) = 3*k + 397. Let y(v) = -2053*v**2. What is s(y(l))? -6159*l**2 + 397 Let z(t) = 7*t - 1910. Let f(m) = 169*m. Calculate f(z(d)). 1183*d - 322790 Let i(a) be the first derivative of 1 + 2*a + 164 + 57 - 29 - 12*a**2 + 3*a. Let u(o) = -o. What is u(i(g))? 24*g - 5 Let n(g) = -2*g - 29. Let p(r) = 3*r + 538044. Calculate p(n(m)). -6*m + 537957 Let q(d) = 9*d**2 + 4*d + 15. Let i(k) = -7*k - 67. What is i(q(g))? -63*g**2 - 28*g - 172 Let x(d) = 61*d**2 - 20*d + 20. Let u(y) = -90*y**2 + 28*y - 28. Let z(t) = 5*u(t) + 7*x(t). Let b(p) = -114*p**2. What is z(b(w))? -298908*w**4 Let n(k) be the first derivative of -1108*k**3/3 - 4362. Let r(a) = -3*a. Determine r(n(u)). 3324*u**2 Let s(k) = -2*k. Let x(i) be the third derivative of 3/5*i**5 + 0*i**4 - 62*i**2 + 1/6*i**3 + 0 + 0*i. What is s(x(r))? -72*r**2 - 2 Let u = 12 - 10. Let x(q) = -q**2 - 5*q**u + 7*q**2. Let a(j) = 15*j. What is a(x(y))? 15*y**2 Let u(a) = 126*a - 13*a - 121*a + a. Let f(y) = -46*y. Give u(f(q)). 322*q Let w(m) = -m**2 - 8*m. Let s(h) be the third derivative of 0*h - 8*h**2 + 0*h**3 - 1/8*h**4 + 0. What is s(w(j))? 3*j**2 + 24*j Let l(b) = 254*b**2. Let g(o) = -231*o**2 + 594*o**2 - 346*o**2. What is g(l(x))? 1096772*x**4 Let w be -4*(-1)/28*-49*11/(-154). Let i(h) be the first derivative of -10 + 0*h - w*h**2. Let t(x
{ "pile_set_name": "DM Mathematics" }
for f. 13 Solve 4616 + 730 = -64*w - 179*w for w. -22 Solve 79*i - 533 = 8*i + 958 for i. 21 Solve -285 + 683 = -199*b for b. -2 Solve 16051 = 76*j + 15443 for j. 8 Solve 453*k + 2002 + 8870 = 0 for k. -24 Solve -271*f = 100 - 913 for f. 3 Solve -310*v + 695 - 5965 = 0 for v. -17 Solve 94*l - 28 + 122 = 0 for l. -1 Solve 71*w + 670 = 12*w + 375 for w. -5 Solve 10*l + 0*l + 29 + 91 = 0 for l. -12 Solve 0 = 197*m + 874 - 680 + 2958 for m. -16 Solve -238*d + 7015 = 67*d for d. 23 Solve 58 = -455*k - 397 for k. -1 Solve -161 = 113*c + 178 for c. -3 Solve 17315*r = 17285*r + 420 for r. 14 Solve -32*a - 15 = 977 for a. -31 Solve -191*w + 1 - 1 = 0 for w. 0 Solve 27*q - 154 = -29 + 199 for q. 12 Solve f + 3*f = 1348 - 1408 for f. -15 Solve 8 = 32*p + 101 + 99 for p. -6 Solve -25 - 32 = -63*i + 6 for i. 1 Solve -386751*t - 396 = -386769*t for t. 22 Solve 354*o - 239*o + 1035 = 0 for o. -9 Solve 0 = 58*r - 1645 + 2573 for r. -16 Solve 0 = 41*a + 2054 - 1398 for a. -16 Solve -141*g - 11048 = -6113 for g. -35 Solve 10642*a - 10630*a + 180 = 0 for a. -15 Solve 412*g - 813*g = -409*g - 8 for g. -1 Solve -352 = -34*f + 32 + 58 for f. 13 Solve 0 = -75*k + 62*k - 91 for k. -7 Solve 2736 = 33*g + 2934 for g. -6 Solve -47257*u + 962 = -47220*u for u. 26 Solve -1093*n = -1124*n + 93 for n. 3 Solve 2420*u - 19 = 2422*u + 3 for u. -11 Solve 18*o = 2090 - 2468 for o. -21 Solve -50*c - 4 = -31*c - 118 for c. 6 Solve -145 - 136 = -30*y - 101 for y. 6 Solve 0 = 144*f - 149*f - 41 + 116 for f. 15 Solve 0 = 2170*k - 2098*k + 720 for k. -10 Solve -21411*v + 49 = -21420*v - 140 for v. -21 Solve 0 = 7*v - 29*v - 521 + 389 for v. -6 Solve 162*d - 44*d + 11466 = 664*d for d. 21 Solve 0 = -14203*u + 14173*u - 420 for u. -14 Solve -74*k - 972 = -306 for k. -9 Solve -56*o = 78*o - 1340 for o. 10 Solve 3*z - 15*z - 288 = 12*z for z. -12 Solve 149*h - 19632 = -297*h - 372*h for h. 24 Solve 64*g - 6*g - 74 = 506 for g. 10 Solve -740*v - 792*v + 1081 = -1579*v for v. -23 Solve -21011*b + 60 = -21001*b for b. 6 Solve 134*n + 63 = 197 for n. 1 Solve -125 - 100 = 26*k - 121 for k. -4 Solve 0 = -145*r - 810*r - 24830 for r. -26 Solve -1215*n + 180 = -629*n - 622*n for n. -5 Solve 275*b = 254*b - 21 for b. -1 Solve -19336*q - 35 = -19341*q for q. 7 Solve 61*b + 15*b + 392 = 1456 for b. 14 Solve -42*n = -44 + 2 for n. 1 Solve -295*r - 1577 - 2554 = 164*r for r. -9 Solve 8*a = 702 + 575 - 1413 for a. -17 Solve 0 = -176*t + 135*t + 1394 for t. 34 Solve 6*p - 136 = 35*p - 63*p for p. 4 Solve 0 = 188*c - 247*c - 1003 for c. -17 Solve -210*c - 1997 = 622 - 309 for c. -11 Solve -42*o = -138*o - 349*o + 8010 for o. 18 Solve 0 = 70666*g - 70659*g + 42 for g. -6 Solve 2*d - 4*d + 56 = 12*d for d. 4 Solve 102*g - 1794 - 858 = 0 for g. 26 Solve 282 + 253 = -65*k - 180 for k. -11 Solve -53*r = -69*r - 192 for r. -12 Solve -10*a - 30*a - 13*a = 636 for a. -12 Solve -182*s - 409*s = 270*s + 29274 for s. -34 Solve -809*w = 819*w - 692*w + 1872 for w. -2 Solve 79*v + 846*v = -1376*v + 34515 for v. 15 Solve -168*n = 448*n + 8624 for n. -14 Solve 62*v = 130*v + 3 - 3 for v. 0 Solve -60*c - 46*c - 1378 = 0 for c. -13 Solve -3430 = -264*u + 166*u for u. 35 Solve 23*b - 8*b = 28*b - 221 for b. 17 Solve v + 28*v = -10*v + 156 for v. 4 Solve 0 = -351*s + 104*s + 4446 for s. 18 Solve 26*x - 4385 = -4489 for x. -4 Solve -35730*a + 35737*a = -77 for a. -11 Solve 4*i + 3*i + 4690 - 4662 = 0 for i. -4 Solve 0 = -24*h + 483 - 0 - 219 for h. 11 Solve -220*r + 3045 + 1135 = 0 for r. 19 Solve 141*s - 1152 = 92*s - 74 for s. 22 Solve 0 = -135878*d + 135892*d - 126 for d. 9 Solve 42*i - 23*i + 10 = -66 for i. -4 Solve -10956*d = -11007*d + 1020 for d. 20 Solve -n - 27*n - 527 = 3*n for n. -17 Solve 20*k + 193 = -53 - 94 for k. -17 Solve -705*a + 4319 = -4846 for a. 13 Solve 2131 = -77*p + 2362 for p. 3 Solve 687 = 6*b + 735 for b. -8 Solve 3*v + 138 = -57*v + 106*v for v. 3 Solve -2920 = -922*y + 768 for y. 4 Solve -14202*r = -14213*r - 187 for r. -17 Solve 17*n + 182 = -23*n - 98 for n. -7 Solve 6*s + 648 = 2*s - 68*s for s. -9 Solve 28*p - 36*p - 197*p - 5125 = 0 for p. -25 Solve -27*j - 470*j = -49*j - 2688 for j. 6 Solve 107*c - 75*c = 615*c + 6996 for c. -12 Solve -96*g + 221 - 1085 = 0 for g. -9 Solve -85*n - 3358 = -231*n for n. 23 Solve -23*m - 77 = -123 for m. 2 Solve -90 = 138*t + 1014 for t. -8 Solve -20*u + 176 - 233 = -u for u. -3 Solve -242 = 86*m + 1220 for m. -17 Solve 103*z + 149 + 389 = 126 for z. -4 Solve -343*h - 339*h - 2900 = -102*h for h. -5 Solve 73*y - 69 = 81*y + 19 for y. -11 Solve 559*k - 9 = 560*k for k. -9 Solve -244 = -137*y + 852 for y. 8 Solve -764*c + 1558*c - 120 = 784*c for c. 12 Solve 0 = 4945*v - 4914*v - 341 for v. 11 Solve -119*d + 284 - 442 = 437 for d. -5 Solve 78*z = 19694 - 20864 for z. -15 Solve -65*y + 2028 = -234*y for y. -12 Solve -26*f + 385 = -33*f - 28*f for f. -11 Solve -60 + 60 = -76*m for m. 0 Solve 48*s = -6 + 26 - 500 for s. -10 Solve 11*c = -41 + 101 + 50 for c. 10 Solve 388*w + 211 - 923 = 64 for w. 2 Solve -176*d = -121*d - 102*d + 799 for d. 17 Solve 7*v + 468 - 370 = 0 for v. -14 Solve 2363 + 788 - 1561 = 53*q for q. 30 Solve 4*c + 2 = -84*c + 2 for c. 0 Solve 1426 = 2*a + 1422 for a. 2 Solve 375 + 1296 = -110*t - 969 for t. -24 Solve 217*l + 1288 - 86 = -1836 for l. -14 Solve 11*w + 1375 - 1452 = 0 for w. 7 Solve 33*i + 215 - 7 = 43 for i. -5 Solve -172*z + 3096 = -430*z for z. -12 Solve -76*w - 855 - 315 = 350 for w. -20 Solve -5*y = 12*y - 5*y + 60 for y. -5 Solve -72*x - 88*x + 140*x = 420 for x. -21 Solve 115*k - 1 = -10 - 106 for k. -1 Solve 255 = -24*w + 45*w + 30*w for w. 5 Solve -h - 3900 + 3775 = -6*h for h. 25 Solve 33*g - 14*g + 76 = 0 for g. -4 Solve 83*k - 623*k = -88*k - 1808 for k. 4 Solve 260 + 114 = -37*n - 588 for n. -26 Solve 55*p + 727 + 59 = -809 for p. -29 Solve 910 - 340 = 44*q - 6*q for q. 15 Solve 422*m = 283*m + 695 for m. 5 Solve -194 + 199 = 6*l - 85 for l. 15 Solve 109*p - 830 + 67 = 0 for p. 7 Solve -375*g - 700 = -403*g for g. 25 Solve 0 = -421*j - 5710 - 4815 for j. -25 Solve 825 = -301*z + 226*z for z. -11 Solve 0 = 361*d - 3525 - 807 for d. 12 Solve -6*m - 269 = -185 for m. -14 Solve 661 = -224*u + 93 - 104 for u. -3 Solve 0 = -128*a + 4778 - 8234 for a. -27 Solve 0*l - 10*l = 5*l - l for l. 0 Solve -40 - 120 = -18*k - 14*k for k. 5 Solve 82*s - 17*s - 312 = 57*s for s. 39 Solve -522792*k + 696 = -522821*k for k. -24 Solve 0 = 133*w + 382*w - 6695 for w. 13 Solve -4019 - 1570 = 243*u for u. -23 Solve 74*k - 80 = 66*k for k. 10 Solve 314 = -88*n - 1094 for n. -16 Solve 0 = -69*r + 244*r - 4877 + 1552 for r. 19 Solve 0 = 2577*h - 2521*h + 504 for h. -9 Solve -54*d - 31*d = -595 for d. 7 Solve 161*k = -2165 - 894 for k. -19 Solve 414 - 227 = -49*v - 450 for v. -13 Solve 562*v - 5850 = 112*v for v. 13 Solve 0 = -4*f + 12*f + 22*f + 60 for f. -2 Solve -93*l = -176*l + 98*l for l. 0 Solve -73*q + 99*q - 553 = -137 for q. 16 Solve -38*t + 75 + 0 = -39 for t. 3 Solve -4251 = -199*b + 1122 for b. 27 Solve 0 = 10*h - 112 + 202 for h. -9 Solve -5*h - 117 = -44*h for h. 3 Solve -34*x = -37*x - 27 for x. -9 Solve 187 = -30*p + 118*p - 165 for p. 4 Solve 0 = 2521*k - 2534*k for k. 0 Solve -570*u = 576*u - 474*u - 17472 for u. 26 Solve 227*z + 138*z = 124*z + 4097 for z. 17 Solve -93*u = -550 + 305 - 685 for u. 10 Solve -79*t + 264 - 896 = 0 for t. -8 Solve 161*u + 221 = -153*u + 297*u for u. -13 Solve -80 = 113*i - 1549 for i. 13 Solve 74*q - 290*q + 20088 = 900*q for q. 18 Solve 0 = -4*b - 9*b - 30*b + 215 for b. 5 Solve 0 = 378*c + 151*c for c. 0 Solve -75*t = 32 + 43 for t. -1 Solve 0 = 13*o - 50*o - 29*o - 1320 for o. -20 Solve -246*b + 5379 = 243*b for b. 11 Solve 0 = 606*t - 56*t for t. 0 Solve 167 = 150*l + 17 for l. 1 Solve 24*p - 40 = 16*p for p. 5 Solve -144 - 1127 = 155*a + 589 for a. -12 Solve 11*w - 166 = 177*w for w. -1 Solve 21*s - 52*s - 78 = 46 for s. -4 Solve -384*n + 513 = -213*n for n. 3 Solve 13*o + 180 = -3*o - 2*o for o. -10 Solve 128*r = 123*r + 65 for r. 13 Solve -121*g - 128*g + 268*g = 266 for g. 14 Solve 0 = 20*r - 8*r - 60 for r. 5 Solve -144 - 360 = 19*r + 23*r for r. -12 Solve 0 = 31*q - 66*q + 420 for q. 12 Solve -9*y + 41 - 32 = 0 for y. 1 Solve 1950*a = 1872*a - 780 for a. -10 Solve 147*p + 1223 = -23
{ "pile_set_name": "DM Mathematics" }
04 - 43604 - 5323*s)*(2*s + 1 - 1) to i + o*s**2 + h*s and give o. -10646 Express 142*f - 284*f + 558*f**2 + 142*f - 1918*f**2 as u*f + y*f**2 + h and give y. -1360 Express (-1 - 2 + 5)*(88*n - 654 + 654) - 4*n + 2*n + 0*n + (0 + 4 - 2)*(-n + 0*n - n)*(1 + 9 - 3) in the form b + k*n and give b. 0 Express 1 - 2*t + 4*t**3 + 612*t**2 - 14*t**3 - 613*t**2 + 75*t**3 as k*t**3 + n + j*t + w*t**2 and give k. 65 Rearrange -5945 - 784*p + 83*p + 5945 - 6*p - 6*p - 4*p + 5*p - p - p - 2 + p + 2 - 1 + 1 - 2*p + (1 - 3 + 4)*(p + p - 3*p) - 2*p + 4 - 4 to j*p + z and give j. -719 Express (0*a - a - a)*(-379*a**2 - 283*a**2 + 77852 - 77851) + (-2 - 2*a**2 + 2)*(5 - a - 5) as i + f*a**2 + r*a**3 + d*a and give f. 0 Rearrange (-9*h + 0*h + 4*h)*(-2*h + 2 - 4 + 4)*(h + h - 4*h)*(14 - 13 - 32) to v*h**2 + m + l*h + d*h**3 and give d. 620 Rearrange -114*f**2 - 931*f**4 + 930*f**4 + 4*f - 1 + 2*f**3 - 422*f**2 - 44*f**2 to j*f + o*f**3 + h*f**2 + u*f**4 + d and give d. -1 Rearrange -6151 - 2*u**3 - 13*u**2 + 3*u**2 + 10*u**2 + 6*u + 6237 to the form v*u**3 + x*u + d + c*u**2 and give x. 6 Express -34 + 69 + 2009*a**2 - 749*a**2 - 33 in the form r + l*a**2 + j*a and give j. 0 Rearrange -5 + l + 5 + (1174*l - 648*l - 612*l)*(1 + 1 + 1) to t + w*l and give t. 0 Express 236908*z**3 - 236910*z**3 + 57*z**2 + 2 + 7 in the form b*z**2 + q*z**3 + s*z + i and give i. 9 Express 125*z + 8726 - 401*z + 138*z + 141*z in the form t*z + a and give a. 8726 Rearrange -12110*i - 7720*i + 3 - 3 to g*i + s and give g. -19830 Express 501658*m**4 - 3*m**2 + 5*m**2 - 503104*m**4 + (-m**2 + 3*m**2 - m**2)*(m**2 + m - m) in the form w*m**4 + g*m + j*m**2 + c*m**3 + d and give j. 2 Express 0*y**3 + 1043 + 1171 + y**3 - 693 - 2*y as t*y**2 + f*y**3 + h*y + g and give f. 1 Express -16*c**2 + 206 + 10168677*c - 10168677*c as u*c**2 + j*c + o and give o. 206 Express -73 - 57 - 34 + 30*y + 9 in the form s*y + x and give x. -155 Express 2419 - 1670*r - 2419 as b + w*r and give w. -1670 Rearrange -116*r**3 - 2122*r - 13 + 2122*r to m*r + i*r**3 + z + l*r**2 and give z. -13 Rearrange -707*t - 122*t - 1327*t - 210*t - 1309*t to the form s + h*t and give h. -3675 Rearrange (-18 + 18 - v)*(2 - 2 - 1) - 11*v + 7*v + v - 70 to the form w + x*v and give w. -70 Rearrange -7*f + 120*f**3 + 21*f**3 + 20*f**3 + 216*f**3 to a + n*f + p*f**2 + q*f**3 and give n. -7 Express 6 - 9*t**2 - 5*t**3 - 2 - 12*t**2 - 13*t**2 + 32*t**2 in the form u*t + y*t**3 + c + h*t**2 and give h. -2 Rearrange 872*s**4 + 10 + 11*s**3 + 882*s**4 + 862*s**4 - 2608*s**4 + 3*s to the form h*s**2 + w*s + j*s**3 + m*s**4 + z and give m. 8 Rearrange 1034 - 2090 + 229*w + 1052 to m*w + z and give m. 229 Express -8*b**4 + 3*b**3 - 4*b**3 - 4086 + 4221 + 4*b**4 in the form m*b**4 + f*b**3 + r*b**2 + j*b + w and give w. 135 Rearrange 415*h**2 - 413*h**2 - 27*h + 24*h + 186*h**3 to the form x + n*h**2 + a*h**3 + j*h and give a. 186 Express -90*b + 46*b + 35934*b**2 + 44*b - 9864*b**2 as k + w*b**2 + p*b and give w. 26070 Express (-6 + 1 + 2)*(99*n - 42*n - 45*n)*(3*n**2 + 3*n**2 + n**2 + (2 - n - 2)*(2*n - 5*n + n)) as q*n**2 + h*n + r + j*n**3 and give j. -324 Express (-16*z + 23*z + 1 + 0)*(-189 - 903 - 403) as f + n*z and give n. -10465 Express -38*j**2 + j + 6 + 5*j**4 + 5*j**4 - 8*j**4 + 86*j**2 - 38*j**2 in the form n*j**3 + s*j + y + x*j**2 + c*j**4 and give s. 1 Rearrange (0*h - h + 2*h)*(-102 - 762 - 57) to w + l*h and give l. -921 Express -2501*n + 980*n + 207*n - 7787*n in the form v*n + c and give v. -9101 Express (-3 - 1 + 7)*(-5 + 5 - 2*h) + 91*h - 71 + 71 - 16*h + 4 + 9*h + 3 as n*h + u and give u. 7 Rearrange -8 - 54*a + 51*a - 3 + (-6*a + 8*a + 6*a)*(-6 + 0 + 7 + (2 - 2 + 2)*(-1 + 0 + 2)) to the form r + u*a and give u. 21 Rearrange 1307655 - 15647*f**2 - 1307655 to z + m*f**2 + k*f and give m. -15647 Express 2772 + 2866 + 5*f - 6231 in the form r + t*f and give t. 5 Rearrange (-10 + 53 + 10)*(1 + 1 - 4)*(-24*g + 25*g**4 + 50*g + 4*g**3 - 25*g) to the form y*g**3 + h*g + k*g**2 + p*g**4 + i and give y. -424 Express 4 - 11993*s - 4 + 22270*s - 11278*s in the form t*s + a and give t. -1001 Rearrange 2*v - 3*v + 4065*v**2 + v - 1573*v**2 to the form d*v**2 + o + b*v and give d. 2492 Rearrange (3 - 13 - 4)*(-734463 + 734463 - 4204*s) to the form l*s + r and give l. 58856 Express 28*t**2 + 7847*t - 24*t**3 - 7846*t - 8*t**3 in the form o*t + d + l*t**2 + k*t**3 and give o. 1 Rearrange (-1515 - 421 - 319 - 1606 + 12)*(3*o + 2 - 2) to d*o + s and give d. -11547 Express -56*n + 89*n**3 + 3*n**2 - 91*n**3 - 73*n + 67*n as a*n**2 + c + v*n**3 + b*n and give v. -2 Express -1 - 159*u + u**2 + 7956*u - 1 - 853*u as r*u**2 + l + i*u and give i. 6944 Rearrange 1505*p**2 + 1131*p**2 + 2071*p**2 to c + b*p + t*p**2 and give t. 4707 Rearrange 28 + 11*n**2 - 28*n**2 - 13 - 50*n**2 - 7 to the form t*n**2 + z*n + c and give c. 8 Express (-79*y - 70*y + 13*y)*(-12*y - 10*y + 3*y) as s + d*y + k*y**2 and give k. 2584 Express (2*n - 2 - 3 + 7)*((2 + 3 - 3)*(1 + n - 1) + (-114*n + 7*n - 160*n)*(-3 - 1 + 3)*(4 - 5 + 3)) as d + o*n + c*n**2 and give c. 1072 Express 113*h - 4 - 59*h + 935*h**2 - 54*h in the form l*h**2 + p*h + d and give l. 935 Express -1312 - 12*f**2 + 659 + 2*f**3 - 2*f**4 + 660 as n*f**4 + m*f**2 + u + x*f + t*f**3 and give m. -12 Express -z - 2 + 7*z + 1 + (170 - 278 + 235)*(-2*z + 3*z + 0*z) + (-2 - 2 + 3)*(4*z - 7 + 7) as y*z + u and give y. 129 Rearrange (48 - 125 - 117)*(-69*s - 163*s + 313*s) to n + q*s and give q. -15714 Express -17 + 10*y + 58*y + 1 - 1 + 4 in the form q + r*y and give q. -13 Express (-85*n**2 + 870*n**2 - 68*n**2)*(-6 + n + 6)*(-5*n + 4*n + 0*n) in the form a*n**4 + h*n**3 + s*n + i*n**2 + o and give a. -717 Express (t + 0 + 0)*(-4 + 1 + 1) + (-1 + 1 + 2)*(-t - t - t) + 5104*t + 3492*t - 7038*t in the form c + f*t and give f. 1550 Express 205800 - 102918 + 3*c**2 + c**3 + 3*c - 103030 as o*c**2 + w + l*c + f*c**3 and give o. 3 Rearrange -218*q**2 - 3*q - 2 + q - 548*q**2 - 145*q**2 + 0*q to h + l*q**2 + s*q and give l. -911 Express 76045*t - 76045*t - 2*t**2 + 103*t**4 + 25*t**3 in the form x + r*t**3 + b*t**4 + y*t + g*t**2 and give r. 25 Express m**4 - 2*m**4 + 3*m**3 - 3*m**3 + 5 + 1181*m**2 - 1177*m**2 as d*m + j*m**2 + z*m**3 + b + k*m**4 and give d. 0 Express -764 + 35138*x - 70271*x + 35136*x as o*x + k and give o. 3 Express (-3*s - 2*s + 6*s)*(0*s + 2*s - 4*s) - 664*s - 195*s**2 + 664*s as a*s**2 + h*s + q and give a. -197 Express (2 + 7 + 0)*((4 - 2 - 3)*(-85 - 28*d + 85) + 0*d + d - 5*d) as l + g*d and give g. 216 Rearrange (-31 - 30*l + 23 + 21)*(-4 + 4 + 27*l) to n*l + i + s*l**2 and give n. 351 Rearrange (3*f - f + 0*f)*(-2277 + 7661 + 4386 - 156 + 42*f**2 - 44*f**2) to the form c + r*f**3 + a*f**2 + m*f and give a. 0 Express -10*z + 10*z - 25*z**4 + (7*z**2 - 7*z**2 + 7*z**2)*(-8 + 8 + 2*z**2 + 2*z) as i*z**3 + m*z**4 + h*z + b*z**2 + f and give m. -11 Express ((-1 + 6 - 3)*(5 + 1 - 1) + 15 + 12 - 1)*(-2*d + 2 - 2)*(8 - 10 + 19)*(5 - 1 - 3) in the form u + x*d and give x. -1224 Rearrange 4823 + 11*k**3 - 12*k - 2*k**4 + 11*k - 4819 to i*k**2 + o*k**4 + s*k**3 + g*k + t and give s. 11 Express -17625*h**2 - 11876*h**2 - 803*h**2 in the form u + p*h**2 + j*h and give j. 0 Rearrange 76 - 4412*i**2 + 61*i + 58*i - 116*i + 4422*i**2 to a + d*i + l*i**2 and give a. 76 Express 3*v - 216*v**2 + 22 + 381*v**2 - 157*v**2 in the form b*v + d + y*v**2 and give d. 22 Rearrange -27*v - 17*v**2 - 25 - 23*v**2 + 54*v**2 + 2*v - 15*v**2 to the form t*v + h*v**2 + x and give h. -1 Rearrange d**2 - d**2 - 2989 + 5985 - 328*d**3 - d - 2997 + 2*d**4 to r*d + m*d**3 + a*d**4 + p*d**2 + u and give a. 2 Rearrange -22*j + 30 + 54*j - 295 - 30*j + 59 to y + i*j and give y. -206 Express 15*g**3 + 4 - 3 + 0 + 231*g**3 + 12 - 240*g**3 + 6 + g + (0*g - 3*g + g)*(-3*g - g**2 + 3*g) in the form y*g**3 + x*g + z*g**2 + m and give y. 8 Rearrange 132*n**3 + 133*n**3 + 134*n**3 - 536*n**3 + 358*n**2 + 135*n**3 to the form j + l*n**3 + v*n**2 + q*n and give l. -2 Express -3 - r + 3 + (66 - 37 - 11)*(-5*r - 3 + 3) as m + w*r and give w. -91 Express t - 1284093*t**2 + 1284474*t**2 + 5*t as q*t + w*t**2 + g and give q. 6 Rearrange s - 38*s**4 + 0 - 5 - 73*s**2 + 1 + 35*s**2 + 39*s**2 - 3*s**3 to the form m*s**2 + v + c*s**3 + i*
{ "pile_set_name": "DM Mathematics" }
er: -7 or l? l Suppose 0 = m + 2*m - 756. Let s be 16/m + (-2)/7. Let j(r) = -r. Let x be j(-1). Which is bigger: s or x? x Suppose 4*f - a = 0, f = a - 0*a. Let t = 4/15 + -38/255. Is f <= t? True Suppose 5*a + 17 = 2*t, -2*t = -t - 2*a - 7. Let l be 0 + 1 + (-22)/18. Which is smaller: l or t? l Let d = -9/124 - -10/31. Suppose -4*n - 14 = -2*r, 2*n = -2*n - 16. Which is greater: r or d? d Let o(t) = -t**2 - t - 4. Let b be o(0). Let z be 2 - 6*(-1)/b. Which is smaller: z or 0? 0 Let i be 16/5 + 7/(-35). Which is smaller: i or 5? i Let y(v) = -v**3 - 5*v**2 + 4*v - 9. Let s be y(-6). Is -4 smaller than s? True Let t = -6 - -4. Let n = -1 + t. Let i(z) = z - 2. Let u be i(-2). Which is smaller: n or u? u Let n(q) = -q**3 + 5*q**2 + 8*q - 6. Let c be n(6). Suppose 6 = y - v, -y + 0*y = 5*v + c. Do 4 and y have different values? False Suppose 2*m = 4*b - 108 - 46, 0 = -2*b - 5*m + 95. Is b equal to 40? True Let a = 267 - 2667/10. Which is bigger: -1 or a? a Let v be (-2)/(-8) - (-3)/20. Let r = 8 + -6. Let c = -3 + r. Which is greater: c or v? v Suppose 2*t + 4*g = 28, -8*g = -t - 3*g + 7. Suppose -t = 2*o - 7*v + 3*v, 0 = -3*o - 2*v + 6. Let i = 0 - -1. Is o > i? False Let q = -0.02 - -0.22. Let b = q - -0.3. Let p = 3.5 - b. Is p less than -2? False Let c be 16/209 - (-4)/(-22). Let t be -1*0/((-3)/(-6)*4). Is c > t? False Let j = 1847/9 + -205. Is j != 17/3? True Let u = -80.1 + 75. Let l = -0.06 + 5.06. Let n = u + l. Which is smaller: n or -1/3? -1/3 Let c(s) = s**2 + 7*s - 7. Let h be c(-7). Which is bigger: -9 or h? h Let c = 5 + -5. Suppose c = -0*g - 3*g + 15. Suppose -g*v = 4*p + 13, 9 = -v - 8*p + 4*p. Are v and -1 nonequal? False Let q be 0 + (0 - 1) + 1. Let h be (-2)/4*-18 - 0. Let f be 3/h + 0 + 0. Is q at most f? True Suppose 3*m = 4*z + 7, 7 + 30 = 3*m + 2*z. Let w = -54 - -94. Let u be (16/(-10))/((-8)/w). Is m greater than or equal to u? True Suppose -3 = -o + 2. Is 0 at least as big as o? False Let h(p) = 3*p + 2. Let o be h(-2). Suppose -4*d + 2*d - 10 = 0. Which is smaller: d or o? d Let v = 2 + -1.6. Let r = -5.4 - -6.4. Does r = v? False Let j be 34/66 + (-1)/3. Let n(q) = -q**3 + q**2 + 2*q - 2. Let i be n(1). Is i at least as big as j? False Suppose -2 = -2*a - 2. Which is smaller: 1/17 or a? a Let m = -3 + 2.98. Let c = 0.18 - m. Which is bigger: c or -1/5? c Let z(a) = -a**3 + 2*a**2 + 1. Let g be z(0). Which is smaller: g or 1/72? 1/72 Let m(x) = -3 + 2*x + 2 - 6. Let l(o) = 2*o - 7. Let g(s) = 6*l(s) - 5*m(s). Let j be g(5). Is 3 > j? False Suppose 0*q - 3*h = -5*q + 17, 2*h + 5 = -3*q. Let i(r) = 4*r**2 - 1. Let m be i(q). Let l = -2 + 6. Is m at least as big as l? False Suppose 0*m - 3*m = 30. Which is smaller: -11 or m? -11 Suppose -45 = -3*p - 0*p. Suppose 0 = -3*h + p. Let n = 9 - 3. Which is bigger: h or n? n Let w = 4 - 4. Suppose -4*z + 3*z + 4 = w. Suppose 5*r - r - z = 0. Which is greater: r or 0? r Let l = -12 + 3. Which is bigger: -8 or l? -8 Let l be 1/(-2)*(2 - 2). Let i = -37 - 11. Let h be 68/i + (-4)/(-6). Are h and l non-equal? True Let d = 2 - 4. Let i(q) = -q**3 - 2*q**2 - 3*q - 3. Let l be i(d). Suppose 3 = -0*r + l*r. Is r smaller than 2/13? False Let h(x) = -x - 6. Let t be h(-8). Let a be -2*t/(-1 + 9). Let p = -111/4 + 28. Which is greater: a or p? p Suppose 0 = 4*x - 2*g, 4*g = -0*x - 5*x. Suppose -6*j - 17 = 5*m - 3*j, 4*m + 5*j + 24 = x. Let z = 0 - m. Which is greater: z or -1/7? z Let n = -0.3 - -0.3. Let k be (4/6)/((-3)/(-27)). Suppose k*i = 5*i. Is n bigger than i? False Let d = 2225.06 + -2487. Let k = d + 256. Let m = -0.06 + k. Is m bigger than 0.1? False Let w(q) = -7*q - 15. Let y(k) = -10*k - 22. Let x(v) = -7*w(v) + 5*y(v). Let a be x(-4). Let r be 2/(a + 1/2). Which is smaller: -3 or r? r Let g = 0.5 + 1.5. Let v = -169.13 + 170. Let w = -0.13 - v. Which is greater: g or w? g Suppose 29*n - 25*n + 4 = 0. Which is smaller: n or 1/130? n Suppose 0 = 5*z - 0*z - 15. Suppose -q + z*q = -6. Let b be (q + 6)/(3/2). Is b >= 0? True Let m = 0.01 - -0.79. Let p = m + -1. Let f = p - 0.1. Is 1/2 bigger than f? True Let m be (-90)/(-429)*3/5. Let o = 13/36 - 1715/5148. Let l = m + o. Which is smaller: 1 or l? l Let u(m) be the first derivative of m**2 + 8*m - 2. Let j be u(-6). Is j at least -4? True Let p = 141 - 129. Which is smaller: p or 13? p Suppose 4*d + 34 = 86. Let b = d - 18. Suppose 3*z = 5*c - 33, -3*z + z + 2*c - 18 = 0. Which is bigger: b or z? b Let c = -8 - -9. Is c at most as big as 2? True Let x = 1 + -0.94. Let c = x + -3.06. Are 0 and c nonequal? True Let q = -13 - -18. Suppose 3 = 2*p + q. Let i be (p - -4)*(-2 + 3). Is 2 bigger than i? False Let z(g) = -g**2 - 8*g - 10. Let p be z(-7). Is p at least -3/2? False Suppose 5*m - 5 = 2*d - 0, -5*m + 5 = 5*d. Suppose d = 3*u - 8*u. Is u less than or equal to -2/9? False Let o be (17 - (-1)/1)*1. Let q be o/4 - (20 - 16). Which is bigger: 2 or q? 2 Let t = 5 - 4. Let k be (t - 0)*(5 - 4). Let w = -43/21 + 12/7. Is k greater than w? True Let y = 11 + -7. Let m = y + -4. Suppose 3*p + 0*p - 13 = 2*j, m = 4*j + 5*p - 29. Is 1 less than j? False Let k = 1 + -4/3. Suppose -3*s - 4*j = 0, 0*s - 5*j - 11 = s. Suppose 0 = 5*d - 2*f - 9, -4*f = d + 3*d + s. Is k > d? False Let i be -7 - (-2 - (-3 + 2)). Let p(o) = o + 8. Let q be p(i). Let a be 0/(-2*(1 + -2)). Which is bigger: q or a? q Let s = 247/4 - 62. Suppose 0 = -4*x + l - 4*l - 3, 3*x = -4*l - 11. Let j be x + -4 - -1*1. Which is greater: s or j? j Let n = 52 + -58. Is -2 not equal to n? True Let a = 776/21285 - -7/387. Is a >= -1? True Let w = -44 - -130/3. Let o = -5 + 2. Let q = o - -2.8. Which is smaller: w or q? w Let s be (41 - -2) + 5/5. Let r = 224/5 - s. Is r equal to 0? False Let i(j) = 3*j**2 - 4*j + 3. Let l be i(2). Suppose 3*a = -2 - l. Let g = 5/3 - 19/6. Are g and a nonequal? True Let k = 0 + 5. Suppose 0 = 4*f - 4*s + 28, -k*s = f - 0*f - 23. Which is greater: f or -1? -1 Let k = 34 - 52. Let c be (1 - k/22)/(-6). Let n = -116/165 - c. Is n greater than or equal to 1? False Let k be (-8)/(-12) - (-14)/6. Let s = k + -2. Which is greater: 1/2 or s? s Suppose -1 = -5*j - 6. Let p(f) = f - 1. Let d be p(j). Let y be (-3*d/(-3))/2. Which is smaller: y or -1/3? y Let m be (-13 - -1)*3/(-9). Suppose 3*i + 3*n - 21 = 6*n, 2*i = -4*n - 10. Suppose -m = 2*f + a, f - a + 2 = i*a. Which is smaller: -2/3 or f? f Let m = -13/4 - -173/52. Is -1 > m? False Let q = -2 + 2.2. Let i = 137/22 - 74/11. Which is bigger: q or i? q Let v(f) = -f - 9. Let g = -7 + 2. Let o be v(g). Let q be ((-1)/(-5))/(o/(-12)). Which is greater: 1 or q? 1 Let g be ((-22)/4)/(3/(-6)). Let m = -4 + g. Let l(k) = -k + 6. Let d be l(0). Is d at most m? True Suppose -n + 5*p = 6, 3*n - 2*p = -3 + 11. Suppose -n*u = -z - 7, -z - 4*u = -3*z - 6. Suppose -19 = -5*s - 4. Is s at most z? False Suppose 8*i = 12*i + 8. Is i at least 0? False Suppose 2*f = 3*f + 4. Let m(i) = 2*i**3 + 4*i**2 - i - 1. Let r(x) = 3*x**3 + 9*x**2 - 2*x - 1. Let g(d) = -5*m(d) + 3*r(d). Let c be g(7). Is f < c? False Suppose -k = 3*k. Suppose 4*g = -k*g + 12. Suppose -g*z + 6 = -z. Which is smaller: z or -0.1? -0.1 Let d be 5/5 + (-1 - 16). Let t be 4/(-6)*(-4)/d. Which is greater: t or -1? t Let x be (-1 + 2)*1 - 1/6. Is x bigger than 2? False Let j(d) = d + 9. Let b be j(-6). Let s(h) = -h + 1. Let i be s(8). Let c = 8 + i. Which is smaller: b or c? c Let z(a) = -7*a - 17. Let l be z(-15). Let f = 266/3 - l. Is f at most 0.3? False Let z be (-4 - (-98)/24)*15/(-2). Which is bigger: z or -2? z Let y be 3/3 + (-18)/33. Let v = y - 26/33. Which is smaller: v or 2? v Let s be (11 + -3)/(-2*(-2)/(-24)). Which is smaller: s or -47? s Suppose -4*c + 5*d = 5, -30 = -4*c - d - 5. Let r = -24 - -32. Suppose 16 = r*f - 16. Is c >= f? True Suppose 2*k - 2*g = 800, -g - 775 = -4*k + 840. Let n be 3/((k/(-6))/5). Which is smaller: -0.2 or n? n Let u be 2 - (6 + (0 - 1)). Let b be (2/(-5))/((-1)/15). Let y be (-4)/6 - 8/b. Which is smaller: y or u? u Suppose -16*c = -11*c. Which is smaller: 8/11 or c? c Let g be 14 + (-1)/(1/2). Suppose 2*j = g - 4. Let f be (0 + -3)/(-12)*j. Is -2/19 < f? True Let y = 6 - 0. Let b = y + -8. Is -0.1 != b? True Let x = 0 - 0. Which is smaller: x or 0.04? x Let i(y) = y**3 - 5*y**2 + y - 2. Let f be i(5)
{ "pile_set_name": "DM Mathematics" }
- 2. Let b(t) = -2*q(t) - 7*y(t). Let k(c) = c + 1. Calculate 2*b(n) - 6*k(n). 2*n**2 + 6*n - 2 Let f(w) = -249*w**3 - 3*w**2 + 8*w + 2. Let j(r) = -125*r**3 - r**2 + 3*r + 1. What is 3*f(p) - 7*j(p)? 128*p**3 - 2*p**2 + 3*p - 1 Let s(f) = 36*f**3 + 5*f**2 + 2096*f - 5. Let u(p) = -29*p**3 - 4*p**2 - 2096*p + 4. Determine -4*s(z) - 5*u(z). z**3 + 2096*z Let o(b) = 7*b**2 + 3*b - 3. Let d(n) = 2*n - 90. Let c(t) = -t + 49. Let r(h) = -11*c(h) - 6*d(h). Determine o(w) + 3*r(w). 7*w**2 Let v(y) = -4*y - 2. Let a = -7 + 13. Let u(r) = 20*r - 10*r + 0*r + 2 - 6*r. Determine a*v(l) + 7*u(l). 4*l + 2 Let i(x) = -x**3 + 7*x**2 - 3*x - 224. Let f(p) = -2*p**3 + 13*p**2 - 7*p - 447. Determine -3*f(t) + 7*i(t). -t**3 + 10*t**2 - 227 Let c = 1950 + -1955. Let o(n) = n. Let t(b) = -2. Determine c*o(y) - t(y). -5*y + 2 Let r(a) = 3*a - 2*a - 17*a**3 - 24 - 7*a**2 + 18*a**3 + 2*a. Let m be r(7). Let j be 3 + -2 + (8 - m). Let t(n) = n. Let f(i) = 9*i. What is j*t(z) - f(z)? 3*z Let j(n) = -15*n**2 - 5*n - 5. Let v = -16533 + 16512. Let h(g) = 60*g**2 + 21*g + 21. What is v*j(r) - 5*h(r)? 15*r**2 Let c(w) = -2*w**3 + 11*w - 5. Suppose -d = 5*t - 180 + 193, 5 = -3*t - 2*d. Let o(h) = -h**3 + 6*h - 3. Calculate t*c(s) + 5*o(s). s**3 - 3*s Let l(v) = 2702786*v - 3031. Let d(j) = 2676*j - 3. Determine -6062*d(x) + 6*l(x). -5196*x Let z(i) = i**2 + 2*i - 2. Suppose -5 = 7*j - 2*j + 5*r, 0 = -j + 3*r + 15. Suppose -4*y = -j*y + 7. Let b(w) = -2*w**2 - 6*w + 6. Give y*z(s) - 2*b(s). -3*s**2 - 2*s + 2 Let d(o) = 18*o**3 + 13*o**2 - 4*o + 38. Let a(z) = 18*z**3 + 17*z**2 - 5*z + 37. Calculate -3*a(u) + 4*d(u). 18*u**3 + u**2 - u + 41 Let l(x) = -x**2 - 109*x - 6. Let i(n) = 2*n**2 + 223*n + 13. Give -4*i(k) - 7*l(k). -k**2 - 129*k - 10 Let m(f) = -2*f**3 - 15*f**2 + 3*f. Let r(w) = 330*w**2 - 2*w - w**3 + 3*w**3 - 315*w**2. Give -2*m(s) - 3*r(s). -2*s**3 - 15*s**2 Let y(a) = 6*a + 59. Let k(j) be the third derivative of -j**4/24 - 5*j**3/3 + 18*j**2 + 47*j. What is -34*k(x) - 6*y(x)? -2*x - 14 Let y(s) = 1197*s**3 + 105*s + 105. Let b(c) = 2*c - 4*c**2 + 2 + 0*c + 0*c + 23*c**3 + 4*c**2. What is 105*b(n) - 2*y(n)? 21*n**3 Let g(h) = -h**3 + 2*h**2 - h. Let f(p) = -2*p**3 - 6*p**2 + 18*p + 1. Give f(m) + 4*g(m). -6*m**3 + 2*m**2 + 14*m + 1 Let r(d) = 5*d**2 + 362*d - 117*d - 123*d - 6 - 119*d. Let w(p) be the third derivative of -p**5/60 - p**4/24 + p**3/6 - 3*p**2 + 8*p. Calculate r(g) + 4*w(g). g**2 - g - 2 Let b be (0 + 0)*-1 - (-98 + 102). Let a(v) = 4*v + 1. Let m(n) = 3*n. Let h(r) = 2*a(r) - 3*m(r). Let d(s) = s - 2. What is b*h(i) - 6*d(i)? -2*i + 4 Let j(m) = -21*m + 49. Suppose 109*z - 107*z + 4*k + 6 = 0, 2*k = 4*z + 52. Let i(r) = 4*r - 10. What is z*i(c) - 2*j(c)? -2*c + 12 Let x(h) = -9*h**2 + h - 1. Let g(p) = -p**2 + p - 1. Let f(d) = -2*d**3 - 15*d**2 - 50*d - 303. Let m be f(-7). Determine m*x(q) + 2*g(q). 16*q**2 Let u(k) = -5*k + 6. Let d(v) = -2*v - 10. What is 6*d(r) + 3*u(r)? -27*r - 42 Let y(n) = -139*n**2 - 28*n - 6885. Let w(k) = 49*k**2 + 10*k + 2295. What is -17*w(f) - 6*y(f)? f**2 - 2*f + 2295 Let p(v) = -53*v - 242. Let g(j) = 10*j. Calculate -5*g(z) - p(z). 3*z + 242 Let o(s) = 1786*s**3 + 8*s**2 - 44. Let k(w) = -357*w**3 - 2*w**2 + 8. Determine 11*k(t) + 2*o(t). -355*t**3 - 6*t**2 Let c(g) be the first derivative of -g**4/4 + g**3/3 + g**2/2 - g + 507. Let i(r) = -7*r**3 + 5*r**2 + 28*r - 6. Determine 6*c(b) - i(b). b**3 + b**2 - 22*b Let s(t) = t**3 - 7*t**2 - 8*t - 2. Let a be s(8). Let g(q) = -2*q - 1. Let j(z) be the first derivative of 2*z**2 + 3*z - 2964. Give a*j(x) - 5*g(x). 2*x - 1 Let y(o) = -11*o**3 - 14*o**2 + 12777*o + 7. Let f(s) = -6*s**3 - 8*s**2 + 6383*s + 4. Calculate -7*f(k) + 4*y(k). -2*k**3 + 6427*k Let p(u) = 6*u**3 - 41*u**2 - 50*u - 5. Let y(m) = -10*m**3 + 62*m**2 + 80*m + 8. Give -8*p(l) - 5*y(l). 2*l**3 + 18*l**2 Let f(h) = h - 361 + 0*h + 720 - 358. Let x(u) = 3*u + 3. Suppose w - 4*q - 4 = 0, 5*w + 5 = 5*q + 40. What is w*f(z) - 3*x(z)? -z - 1 Let g(l) be the first derivative of -35*l**2/2 + 4*l - 3240. Let d(m) = m + 1. Determine 5*d(b) - g(b). 40*b + 1 Let n(t) = -23*t**3 + 935*t**2 + 3*t - 8. Let x(l) = -8*l**3 + 302*l**2 + l - 3. What is -4*n(f) + 11*x(f)? 4*f**3 - 418*f**2 - f - 1 Let x(k) = -15*k**3 - 11*k - 155. Let o(c) = -33*c**3 - 21*c - 318. Let b(i) = -6*o(i) + 13*x(i). Let y(l) = l**3 - 6*l - 36. Give -6*b(n) + 17*y(n). -n**3 + 30 Suppose -4*j + 1528 = m + 1526, 6 = -m + 4*j. Let u(h) = -76*h**2 + 57*h - 57. Let l(g) = g**2 - g + 1. What is m*u(y) - 114*l(y)? 38*y**2 Let p(w) = w**2 - 24*w + 798. Let s(i) = -i**2 + 34*i - 1197. Give -7*p(b) - 5*s(b). -2*b**2 - 2*b + 399 Let l(y) = y**3 + 2*y**2 - y + 1. Let q(v) = -v**3 - 8*v**2 + 6*v + 113. Give 3*l(p) + q(p). 2*p**3 - 2*p**2 + 3*p + 116 Let q(x) = -4*x + 114. Let n(z) = -6*z + 113. What is -3*n(u) + 4*q(u)? 2*u + 117 Let a(f) = -60623*f + 2 + 60622*f - f**3 - 1. Let n(l) = -11*l**3 - 55*l + 55. Determine 55*a(c) - n(c). -44*c**3 Let o be 48/2 + (-3)/1. Let w(p) = -2*p**2 - 2*p + 498 + 514 + 3*p**3 - 1012. Let l(c) = 30*c**3 - 21*c**2 - 21*c. Calculate o*w(n) - 2*l(n). 3*n**3 Suppose -3*n - p = 270 - 282, -3 = p. Let z(b) = 5*b**2 + 8*b - 2. Let h(s) = 4*s**2 + 7*s - 2. Give n*z(y) - 6*h(y). y**2 - 2*y + 2 Let i(a) = -4*a**3 + 10*a**2 + 776. Let n(g) = 21*g**3 - 55*g**2 - 3881. Calculate 11*i(r) + 2*n(r). -2*r**3 + 774 Let f(z) = 1225*z**3 + 5*z. Let d(t) = -1227*t**3 - 7*t. What is -3*d(a) - 4*f(a)? -1219*a**3 + a Let v(f) = -4*f**2. Let k(j) = j**2 - 12*j + 43. Let m be k(13). Let p be 90/(-8) - (-14)/m. Let r(c) = 19*c**2. Calculate p*v(b) - 2*r(b). 6*b**2 Let m(y) = -7*y**2 - 72*y + 9. Let b(h) = 18*h**2 + 181*h - 23. What is 10*b(l) + 26*m(l)? -2*l**2 - 62*l + 4 Let i(a) = 19*a**2 - 5*a + 6. Let m(f) = 8 + 12 + 6*f + 27 - 19*f**2 - 63 + 9. Give 6*i(z) + 5*m(z). 19*z**2 + 1 Let c(p) = 17*p**3 - p**2 + 6*p - 4. Let z(k) = -50*k**3 + 3*k**2 - 17*k + 11. Give 11*c(j) + 4*z(j). -13*j**3 + j**2 - 2*j Let l(p) = -p**2 + 1. Let d(x) = -x**3 - 2*x**2 + 2. Let j be (-22)/5*(-4 - 1). Let o be (0 - 21) + (0 - -11) + -14. Let g = j + o. Give g*d(r) + 3*l(r). 2*r**3 + r**2 - 1 Let b(o) = 3*o**3 + 2*o**2 - 3*o + 1. Let i(f) = 5*f**3 + 4*f**2 - 7*f + 2. Let h = -29653 + 29657. Determine h*i(d) - 7*b(d). -d**3 + 2*d**2 - 7*d + 1 Let o(h) = -69*h + 3. Let m(w) = 2*w**2 + 97*w - 656. Let g be m(6). Let s(x) = -23*x + 1. Determine g*o(k) + 7*s(k). -23*k + 1 Let j(h) = -5*h**2 + 2*h - 191. Let k(v) = -v**2 + 2*v + 3. What is -j(s) + 3*k(s)? 2*s**2 + 4*s + 200 Let p(l) = -177*l**2 + 3*l + 5. Let o(h) = 350*h**2 - 5*h - 12. Calculate -3*o(k) - 7*p(k). 189*k**2 - 6*k + 1 Let q(c) = -10*c - 1. Let l = -16894 - -16899. Let m(x) = 19*x + 3. What is l*q(f) + 2*m(f)? -12*f + 1 Let i(z) = z - 1. Let r(l) = -55*l**2 + 7*l - 14. What is -6*i(w) + r(w)? -55*w**2 + w - 8 Let i(t) = -30*t**2 + 14*t - 14. Let u(w) = 7*w**2 - 3*w - 9*w**2 + 8*w**2 + 3. Let p be (-102)/85 + (555/(-100) - 6/(-8)). Give p*i(b) - 28*u(b). 12*b**2 Let g(x) = 135*x - 8. Let q(c) = -139*c + 8. Determine 5*g(r) + 4*q(r). 119*r - 8 Let p(f) = -f**3 - 3*f**2 - 4*f. Let k(m) = -5*m + 93. Let a be k(18). Let u(b) = b**2. Let w(l) = 34*l - 305. Let o be w(9). Give a*u(x) + o*p(x). -x**3 - 4*x Let i = -10206 + 10201. Let f(k) = -2*k + 39. Let t(z) = 2*z - 38. What is i*f(d) - 4*t(d)? 2*d - 43 Suppose 0*d + 2*d = 194. Let j(z) = 103 + d - 11*z - 206 + 2*z**2. Let p(t) = -2*t**2 + 12*t + 7. Give 7*j(s) + 6*p(s). 2*s**2 - 5*s Let r(t) = 53*t**2 - 283*t - 1. Let m(s) = -66*s**2 + 281*s + 1. Determine -4*m(f) - 5*r(f). -f**2 + 291*f + 1 Let x(f) = 11*f + 9. Let k = -7 + -1. Let w(p) = 7*p + 6. Let o(v) = -31*v - 429. Let y be o(-14). Determine k*w(j) + y*x(j). -j - 3 Let r(o) = -912*o**2 - 149*o + 15. Let c(q) = -167*q**2 - 30*q + 3. Give 11*c(a) - 2*r(a). -13*a**2 - 32*a + 3 Let a(d) = 7*d**2 + d + 1. Let l = 11 + -9. Let v(z) = -216*z**2 + 110*z**l - z - 1 + 107*z**2. Give a(o) + v(o). 8*o**2 Let f(d) = -2*d + 12 + 9 - 11 + 1. Let z(x) = x - 6. Suppose -p = -0*p + 4*w + 11, 4*w + 8 = 0. Give p*f(q) - 5*z(q). q - 3 Let r(k) = -3*k**3 - 6*k**2 + 65*k. Let b(d) = 4*d**3 + 6*d**2 - 66*d. Calculate -5*b(n) - 6*r(n). -2*n**3 + 6*n**2 - 60*n Let m(r) = -16*r**2 - 309*r + 4. Let y(f) = 13*f**2 + 310*f - 3. Give
{ "pile_set_name": "DM Mathematics" }
*3 - b**3. 5*b**3 Expand 2*w**2 + 0 - w - 1 - w**2 - 4 + w**2 + 4 - w + 2*w**2 + w + (3*w - w + 0*w)*(-2*w + 4*w + 0*w) + 5*w**2 - 5*w**2 - 5*w**2. 3*w**2 - w - 1 Expand (0*g + 5*g - 12*g - 11*g)*(-g**2 - 1 + 1). 18*g**3 Expand -4 + 4 + 2*v**3 + (-2*v + 5*v - 2*v)*(-2*v**2 + 2*v**2 + 2*v**2) - 4*v**2 + 2*v**3 + 6*v**2 - 14 + 8. 6*v**3 + 2*v**2 - 6 Expand (11*p**3 + 4*p**3 + 5*p**3 + 2*p**4)*(-2 - 1 + 2)*(-3 + 3 - 1). 2*p**4 + 20*p**3 Expand (-3*x**3 + 2*x**3 + 3*x**3)*(-21*x - 2 + 0 + 3). -42*x**4 + 2*x**3 Expand (-5*g**2 + g**2 + 12*g**2 - g**2 + 2*g**2 - 2*g**2 + g**2 + g**2 + 0*g**2 + (-2 + 2 + 2*g**2)*(0 + 1 + 1) + g**2 - g**2 - g**2)*(-4*g - 2 + 0*g + 2*g). -24*g**3 - 24*g**2 Expand -s**3 + 4*s**3 - 4*s**3 + s**3 + 4*s**3 - 2*s**3 + (-1 + 1 + s**2)*(3 - s - 3) + s**3 + 4*s**3 - 4*s**3. 2*s**3 Expand (-2*n - 1 + 1)*(-2 + 2 + n**2) + (2*n**2 - 2*n**2 - 2*n**2)*(1 + n - 1) + 2*n**3 - 3*n**3 + 2*n**3. -3*n**3 Expand (h**3 + 0*h**3 - 3*h**3)*(-27 + 14 - 39). 104*h**3 Expand (-2 + f**3 - 2*f**5 + 2)*(-5 + 1 + 3). 2*f**5 - f**3 Expand 9 - 9 + 5*a - 3*a - 3*a + 4*a + 2 - 2*a - 2 + (a + a - 4*a)*(6 - 3 - 1) + 4*a + 2*a - 4*a - 2*a - 5 + 5 - 2*a + 6*a - 3*a. -2*a Expand 35*g**2 + 36*g**2 - 5*g**3 - 69*g**2 - 1 + 1 + 2*g**3 + (g + g - g)*(g**2 - 2*g**2 + 0*g**2) - g**3 + 2*g - 2*g. -5*g**3 + 2*g**2 Expand (2 + 2*m**3 - 2)*(-1 - 1 + 0 + (3 + 0 - 2)*(-4 + 0 + 3) - 3 + 3 - 1)*(10 + 1 + 0). -88*m**3 Expand (-2*s + 1 - 1)*(-67*s**3 - 4 + 4). 134*s**4 Expand -14 + 14 - 2*u**3 + (-3 + 3 - 1)*(3*u**3 - u**3 - 3*u**3) - u**2 + 2*u**3 + u**2 + 4 - 4 - 2*u**3. -u**3 Expand -7*b + 0*b + 6*b + 3*b + b - 2*b + (-3 + 1 + 1)*(b - b - 2*b). 3*b Expand 5*k**3 - 3*k**3 - k**3 - 2*k + 0*k**3 + k**3 - 6*k**3 + (3*k**2 + 0*k**2 - 5*k**2)*(0*k + k + 0*k). -6*k**3 - 2*k Expand (-32*t**2 + 32*t**2 + 10*t**3)*(-3 - 3 + 8). 20*t**3 Expand (0 - 4 + 6)*(-1 - 3 + 2)*(c - 2*c**3 + 0*c - 3*c). 8*c**3 + 8*c Expand (-n + n**2 + n - 1 + 1 - n**2 + (2 + 3 - 3)*(-5 + 5 - n**2))*(3*n**3 - 2*n**2 + 2*n**2). -6*n**5 Expand -4*p**4 + 0*p**4 + 2*p**4 + (2*p - 3*p - p)*(3*p - 2*p**3 - 3*p) + 3*p**4 - 6*p**4 + 2*p**4 - p**4 + 0*p**4 + 2*p**4. 2*p**4 Expand (0 + 2*r**3 + 0 + 4*r)*(-2 - r**2 + 2). -2*r**5 - 4*r**3 Expand (-6*s - 14 + 14)*(-4*s + 4*s + 2*s**3). -12*s**4 Expand (-u**3 + u**3 + u**3 + (-3*u - u + 3*u)*(-1 + 1 + 2*u**2) + 12 - 5*u**3 - 12 + 2*u**3 + u**3 - u**3)*(3 - 4 + 3). -8*u**3 Expand (3 - 2 - 2)*(-8*p**2 + 6*p**2 - p**2)*(-4 + 5 - 2)*(2 + 2 - 5). 3*p**2 Expand (0*s - 2*s**4 + 0*s)*((2 - 1 - 2)*(s - 2*s + 3*s) + (0*s + 2*s - 4*s)*(1 + 4 - 3)). 12*s**5 Expand (-4 - 3 + 3)*(0 + 2*f**4 + 0 + (0 + 0 + 2*f**2)*(f**2 - f**2 + f**2)). -16*f**4 Expand (0 + t + 0 - 2*t + 0 + 0 + (1 + 2 - 5)*(-6*t + t + 3*t))*(t + 5 - 1 - 3). 3*t**2 + 3*t Expand (a - 6*a + a)*(2 - 2 - 4*a)*(0*a**3 + 0*a**3 + 2*a**3). 32*a**5 Expand (-s - 2*s + 4*s)*(-4 + 3 + 2 - 3 + 0 + 4 + (-2 - 5 + 5)*(0 - 1 - 1) - 7 - 1 + 0)*(-3*s + 0*s + s). 4*s**2 Expand (-3 + 0 + 5 + 1 - 1 - 2 + (2 - 2 - 2)*(4 + 1 - 2))*(-2*j**3 - 1 - 5*j**3 + 6*j**3). 6*j**3 + 6 Expand (3*d - 6 + 6)*(4*d**4 - 4*d**4 + 5*d**4) - d**5 - 2*d**5 + d**5. 13*d**5 Expand (-1 - 2 + 4)*(-4 - 2 + 5)*(21*f - 5*f + 10*f). -26*f Expand 3*y - 3*y - y**2 - y**2 - y**2 + 3*y**2 + (y - 2*y - y)*(-2*y + 0 + 0) + (2 + 1 - 1)*(y**2 - 4 + 4) + 4*y**2 + 3 - 3. 10*y**2 Expand (-j**2 + 2*j**2 - 2*j**2)*(2*j + 2*j - 5*j) + j**3 - 6*j**3 + 3*j**3 - 6*j**3 + 3*j**3 + j**3 + (-4 - 1 + 4)*(-j + 3*j**3 + j). -6*j**3 Expand (-15*t**2 + t**2 - 7*t**2)*(-3*t + 6*t - 4*t) + (2 - 2 + 2*t)*(-t**2 - 4*t**2 + 4*t**2) + t - t**3 - t + t**3 + 2 - 2. 19*t**3 Expand 9*w + 12*w**2 - 9*w**2 - 2*w**2 - w + w - w**2 + 3*w**2 + 0*w**2 - w**2 + (0 + 2*w + 0)*(0*w + 5*w - 4*w). 4*w**2 + 9*w Expand (16*v - 16*v - 2*v**2)*(v**2 + 5*v**2 - 3*v**2) + v - v - 2*v**4. -8*v**4 Expand 6 + 5*j**4 - 6 - 3*j**4 + j**4 + 3*j**4 + (-j + 2*j - 3*j)*(-2*j**3 + 0*j**2 + 0*j**2). 10*j**4 Expand (-16 - 2*h + 16 - 3*h + 3*h + 2*h + (-1 + 1 + 1)*(h + 0*h + h))*(5*h**4 - 6*h**2 + 6*h**2). 10*h**5 Expand (k + 3 - 3)*(2*k**2 - 2*k**2 + 2*k**3)*(5 + 4 + 0). 18*k**4 Expand (7 - 13 - 6)*(2*y**3 - 2 + 2 + (y - 2*y + 2*y)*(0*y**2 + 2*y**2 - y**2)). -36*y**3 Expand -5*u**2 + 3*u**2 + 0*u**2 + (u + 4 - 4)*(0*u - u + 3*u) + u**2 + 3*u - 3*u - 2*u**2 + 5*u**2 - 4*u**2 + 0*u**2 + 2*u**2 + u**2. 3*u**2 Expand (3*f**2 - 2*f**2 - 3*f**2)*(-4*f + 4*f - 7*f**3) - 3*f**5 + 4*f**4 - 4*f**4 + (2*f**3 - f**3 + 0*f**3)*(5*f**2 - 3*f**2 - 3*f**2). 10*f**5 Expand -4*x + 3*x - x + (-3 + 0 + 4)*(x + 0*x - 3*x) + 4 - 4 + x. -3*x Expand -v**2 + v**2 + v**5 + (-3*v + 5*v + 0*v)*(4*v**4 - 5*v**4 + 0*v**4) + 0*v**3 + 0*v**3 - 2*v**5 - 6*v**5 - 3*v + 3*v. -9*v**5 Expand (5*a**2 - 424*a + 3 + 423*a - 1)*(3*a - 4*a + 0*a). -5*a**3 + a**2 - 2*a Expand (-2 + 1 + 2)*(-5*g + 5*g - 2*g)*(-2*g + 2*g - 3*g)*(3 - 1 - 3). -6*g**2 Expand (-223 + 5*a + 225 - 15*a)*(-a + 2*a**3 + a). -20*a**4 + 4*a**3 Expand 5*w**4 - 25*w**4 - 14*w**4 + (3*w**3 - 3*w**3 + 2*w**3)*(2*w - 1 + 1) - w**2 - 2*w**2 + w**4 + 5*w**2. -29*w**4 + 2*w**2 Expand (-2 + 2 + 6*b**2)*(0 + 0 - 3*b) - 3 - 5*b**3 + 3. -23*b**3 Expand (-2*d - 2*d + 2*d)*(-3*d + 3*d - 2*d)*(0 + 3 - 5). -8*d**2 Expand (4 - 16*c - 4)*(c**2 - 3*c**2 + c**2). 16*c**3 Expand (2 + 3 - 7)*(3*m - 2*m - 2*m) + 4*m - 6*m - m + 0*m + 7*m - 5*m + (-4 - 3 + 5)*(-3*m - m + 5*m). -m Expand (3*u**2 - 1 + 1)*(2 - 2 - 2*u) + (u**3 + u - u)*(3 - 1 - 3) + 2*u - 4*u**3 - 2*u. -11*u**3 Expand (-i - 1 + 2*i - 2*i)*(-i**4 - i + i). i**5 + i**4 Expand -4*a + 4*a + 2*a**4 + (-2*a**3 + a - a)*(a + a - 4*a) + (a - a + a**4)*(4 + 0 - 2). 8*a**4 Expand (2*k + 0*k + 4*k)*(-2*k**2 - 2*k**4 + 2*k**2) - 2*k**5 + k - k. -14*k**5 Expand (3*f**2 - 3*f**2 + f**2)*(43 - 22 - 11). 10*f**2 Expand (1 - 4 + 4)*(-q + 3*q - 4*q) + 2*q - q - 4*q - 1 + 1 + 2*q. -3*q Expand (-3 + 2 + 3)*(5*l + 17*l - 5*l). 34*l Expand ((2*h + h - h)*(-3 + 2 + 2) + 2*h + 2*h - 2*h - 4*h + 3*h + 3*h - 4*h + h + h - 3*h + 2*h + 2*h)*(3*h**2 - 4 + 4). 15*h**3 Expand 2*g + 2*g**5 - 2*g + (-3*g + g + 4*g)*(0*g + 0*g - 2*g**4). -2*g**5 Expand (-4*a**3 + 4*a**3 + a**3)*(-3*a - 3*a + 2*a**2 + 14*a). 2*a**5 + 8*a**4 Expand (210*k**2 - 22*k**4 - 210*k**2)*(5 - 1 + 0). -88*k**4 Expand 4*v**3 - v**3 - 2*v**3 + v**2 + (3*v**3 - v**3 + 0*v**3)*(3 + 2 - 11). -11*v**3 + v**2 Expand (-2*d**3 + 3*d**3 + d**3)*(0 - 6 + 2) + 0*d**3 + 0*d**3 - 3*d**3. -11*d**3 Expand (0*t**2 + 0*t**2 + t**2 + (-2 + 2 - t**2)*(-1 + 2 - 5))*(-3 + 0 + 4)*(-t + 0*t + 2*t). 5*t**3 Expand 2 + 2*g - 2 - 3*g - 2*g + 3*g + 4*g - 5*g - g - 2*g + g + 2*g + (3 - 3 + 2)*(2*g + 1 - 1) + 0*g + 0*g - 2*g + 3*g - g + 0*g + 5 - 5 + 23*g. 26*g Expand -j**4 + 15*j**2 - j + j**3 - 15*j**2 + (0 + 2 - 3)*(-5 + 5 - 2*j**4). j**4 + j**3 - j Expand (-4 + 5 - 2)*(-62*t + 18*t + 20*t) - 2 + 2 + t. 25*t Expand (0*c - 2*c + 5*c)*(c**2 + 2*c**3 - 7*c**3 + 4*c**3). -3*c**4 + 3*c**3 Expand (3 + 6 - 3)*(0*o - o + 3*o)*(2*o - 2*o - 2*o**2). -24*o**3 Expand (-3 + 2 - 1)*(10 - 12 - 10)*(-2 + 2*v + 2). 48*v Expand (-7 - 2*t**2 + 7)*((-t**3 + 0 + 0)*(-1 + 3 - 1) + 2*t**3 - 3*t**3 + 0*t**3) + (-2*t**3 + 2*t**3 + t**3)*(-t**2 + 5*t**2 - 5*t**2). 3*t**5 Expand (2*j - 4*j + 3*j)*(-j**2 + 4*j**2 - 4*j**2 + j - j - j**2 + (-2 + 2 + j)*(0 + 0 + j) + 0*j**2 - j**2 + 2*j**2 - j + j**2 + j - j**2 + 9*j**2 + 3*j**2). 12*j**3 Expand -t**5 + 0*t**5 - t**5 + (0*t**3 + 0*t**3 + t**3)*(-t**2 + 3*t**2 + 0*t**2) + 4*t**5 - t**5 - t**5 + 21*t**5 + 93*t - 93*t. 23*t**5 Expand -2*u + 2*u - u**4 + (2*u**3 + 0*u**3 + 0*u**3)*(4*u + 5*u - 2*u) + u - u - 3*u**4. 10*u**4 Expand -2 - 2*y + 2 + (0*y + 0*y + 2*y)*(4 - 2 - 4) + y - 2*y - 3*y - 4*y + 0*y + 3*y. -11*y Expand 0*p - 2*p + 5*p + (1 + 2*p - 1)*(3 - 2 - 3). -p Expand (33 - 33 + 11*h)*(4 + 0 + 0). 44*h Expand 10 + 4 - 6 - 2*r - 3*r + r + 3*r + (4 - 4 + 2)*(-4 + 4 - 2*r) + 2*r - r + 0*r. -4*r + 8 Expand 0 + 0 + 2*v + (0 - 1 - 2)*(-4 + 4 + v) + 1 + 3*v - 2 + 3. 2*v + 2 Expand (-111 + 111 - 21*p + (-4 + 1 + 5)*(3*p - 2*p + p) + (2 - 2 + 2*p)*(1 + 1 - 4))*(0*p + 0*p - 2*p). 42*p**2 Expand (26*t + 73*t - 31*t)*(5*t - 5*t + 2*t**3). 136*t**4 Expand (-2*m + m + 0*m)*(603*m - 603*m - 14*m**3). 14*m**4 Expand (3 - 2 - 2)*(-1 + 5 + 4)*(-4*p - 4*p + 3*p). 40*p Expand (1 - 8 - 26)*(0 - 1 - 1)*((2 + 1 - 4)*(3*l - 4*l - l) - l + 0*l
{ "pile_set_name": "DM Mathematics" }
+ 7204. 4*(z - 1801)*(z - 1) Suppose x**3/2 + 11*x**2/2 - 7*x - 12 = 0. Calculate x. -12, -1, 2 Let -2*u**5/5 + 28*u**4/5 - 76*u**3/5 - 64*u**2/5 + 222*u/5 + 36 = 0. What is u? -1, 3, 10 Factor 2*m**3/11 - 170*m**2/11. 2*m**2*(m - 85)/11 Factor 5*k**3 + 53*k**2 - 152*k + 52. (k - 2)*(k + 13)*(5*k - 2) Let -192027*p**2 + 1518*p - 3 = 0. Calculate p. 1/253 Let 2*w**5/19 + 264*w**4/19 + 774*w**3/19 - 8*w**2/19 - 1032*w/19 = 0. Calculate w. -129, -2, 0, 1 Find k, given that 2*k**3/13 + 670*k**2/13 + 668*k/13 = 0. -334, -1, 0 Factor -16*f**5 + 51*f**4 - 57*f**3 + 25*f**2 - 3*f. -f*(f - 1)**3*(16*f - 3) Factor -2*l**2/7 - 1160*l/7 - 2312/7. -2*(l + 2)*(l + 578)/7 Factor -4*t**2 - 24*t - 36. -4*(t + 3)**2 Let -3*u**5/8 - u**4 - 3*u**3/8 + u**2/4 = 0. Calculate u. -2, -1, 0, 1/3 Find s such that 3*s**5/2 + 18*s**4 + 51*s**3/2 - 51*s**2 - 54*s + 60 = 0. -10, -2, 1 Let 2*a**2/3 + 1532*a/9 + 2032/9 = 0. Calculate a. -254, -4/3 Suppose 3*c**3 + 6*c**2 - 3*c - 6 = 0. What is c? -2, -1, 1 Suppose 33*z**4 - 126*z**3 + 141*z**2 - 36*z - 12 = 0. What is z? -2/11, 1, 2 Factor c**2/4 - 27*c/2 - 171/4. (c - 57)*(c + 3)/4 Determine m, given that 3*m**4/7 - 24*m**3/7 + 54*m**2/7 - 48*m/7 + 15/7 = 0. 1, 5 Factor -2*r**3/5 + 86*r**2/5 + 588*r/5. -2*r*(r - 49)*(r + 6)/5 Factor 6*l**3 + 51*l**2/2 - 24*l - 15/2. 3*(l - 1)*(l + 5)*(4*l + 1)/2 Factor -r**3/8 - 89*r**2/8 - 507*r/8 - 747/8. -(r + 3)**2*(r + 83)/8 Factor 5*n**2 + 3940*n - 3945. 5*(n - 1)*(n + 789) Determine d so that 27*d**3 + 690*d**2 - 1041*d + 324 = 0. -27, 4/9, 1 Find y, given that -5*y**4 - 160*y**3 + 15*y**2 + 470*y - 320 = 0. -32, -2, 1 Solve -2*j**5 + 160*j**4 - 2684*j**3 - 20648*j**2 - 32594*j - 14792 = 0. -4, -1, 43 Solve w**4/6 - 2*w**3/3 - 10*w**2 + 48*w = 0. -8, 0, 6 Solve 12*y**5/5 + 14*y**4 + 84*y**3/5 - 88*y**2/5 - 96*y/5 + 18/5 = 0. -3, -1, 1/6, 1 Factor -4*h**5 - 472*h**4 - 13444*h**3 + 28320*h**2 - 14400*h. -4*h*(h - 1)**2*(h + 60)**2 Factor -j**3/2 + 10*j**2 - 50*j. -j*(j - 10)**2/2 Solve 42*c**4/11 - 314*c**3/11 + 666*c**2/11 - 54*c/11 - 756/11 = 0. -6/7, 7/3, 3 Factor -s**2/2 - 886*s - 392498. -(s + 886)**2/2 What is o in -4*o**3 = 0? 0 Factor 2*i**3/3 + 3928*i**2/3 + 1928648*i/3. 2*i*(i + 982)**2/3 Find r, given that r**3 - 30*r**2 - 31*r = 0. -1, 0, 31 Determine g, given that 2*g**2 - 26*g - 28 = 0. -1, 14 Factor -q**5/5 - 14*q**4/5 - 36*q**3/5 + 162*q**2/5 + 837*q/5 + 972/5. -(q - 4)*(q + 3)**3*(q + 9)/5 Let -2*r**5/5 - 124*r**4/5 - 1656*r**3/5 + 8316*r**2/5 - 6534*r/5 = 0. Calculate r. -33, 0, 1, 3 Factor -4*j**4 + 168*j**3 - 160*j**2 - 168*j + 164. -4*(j - 41)*(j - 1)**2*(j + 1) Let -4*j**5 - 4*j**4 + 4*j**3 + 4*j**2 = 0. What is j? -1, 0, 1 Determine q, given that -3*q**2/7 + 963*q/7 + 138 = 0. -1, 322 Determine w so that -w**5 - 340*w**4/3 - 1112*w**3/3 - 442*w**2 - 661*w/3 - 110/3 = 0. -110, -1, -1/3 Determine q, given that -3*q**4/8 - 9*q**3/8 + 3*q**2/8 + 9*q/8 = 0. -3, -1, 0, 1 Suppose 35*k**4 + 410*k**3 - 155*k**2 - 410*k + 120 = 0. Calculate k. -12, -1, 2/7, 1 Suppose 2*i**3/3 - 8*i**2/3 - 2*i/3 + 8/3 = 0. What is i? -1, 1, 4 Suppose -3*n**3 + 132*n**2 - 255*n + 126 = 0. What is n? 1, 42 Factor 2*h**2/9 - 8*h/9 + 8/9. 2*(h - 2)**2/9 Find d, given that 3*d**3/4 - 57*d**2 + 4095*d/4 + 4563/2 = 0. -2, 39 Factor -6*n**4/5 + n**3 + 13*n**2/5 + 2*n/5. -n*(n - 2)*(n + 1)*(6*n + 1)/5 Find z, given that -2*z**3 + 68*z**2 - 130*z + 64 = 0. 1, 32 Find c such that 2*c**3/5 - 98*c/5 + 48 = 0. -8, 3, 5 Suppose -z**4/3 + 137*z**3 - 14008*z**2 - 42436*z/3 = 0. Calculate z. -1, 0, 206 Let z**3 - 5*z**2 + 6*z = 0. What is z? 0, 2, 3 Factor s**2/2 + 293*s/2 - 594. (s - 4)*(s + 297)/2 Find o, given that -2*o**2/7 + 8/7 = 0. -2, 2 Solve -32*q**3/19 - 208*q**2/19 + 2030*q/19 + 13456/19 = 0 for q. -29/4, 8 Factor -4*u**2/11 + 2*u/11. -2*u*(2*u - 1)/11 Let z**3/4 - 147*z**2/4 + 1404*z - 3888 = 0. Calculate z. 3, 72 Solve 4*y**4 + 28*y**3 + 44*y**2 + 20*y = 0 for y. -5, -1, 0 Determine f, given that -15*f**5 + 395*f**4 - 90*f**3 - 1020*f**2 - 520*f = 0. -1, -2/3, 0, 2, 26 Factor -3*y**3 - 18*y**2 + 3*y + 18. -3*(y - 1)*(y + 1)*(y + 6) Factor 2*o**2 + 1664*o + 346112. 2*(o + 416)**2 Factor 2*h**3/5 + 16*h**2/5 - 22*h/5 - 36/5. 2*(h - 2)*(h + 1)*(h + 9)/5 Solve 3*u**5 - 15*u**4 - 27*u**3 + 123*u**2 + 96*u - 180 = 0 for u. -2, 1, 3, 5 Let 2*y**3/19 - 278*y**2/19 + 10638*y/19 - 123930/19 = 0. What is y? 27, 85 Find w such that 5*w**3/4 - 295*w**2/4 - 605*w/4 - 305/4 = 0. -1, 61 Find l, given that -2*l**4 - 1100*l**3 - 154514*l**2 - 897600*l - 1331712 = 0. -272, -3 Factor -g**4/2 + g**3/2. -g**3*(g - 1)/2 Factor -2*k**4 + 268*k**3. -2*k**3*(k - 134) Determine y so that -2*y**3/23 - 1542*y**2/23 - 1540*y/23 = 0. -770, -1, 0 Factor q**3/2 - 39*q**2/2 + 71*q/2 + 111/2. (q - 37)*(q - 3)*(q + 1)/2 Factor -2*c**4/15 + 14*c**3/5 - 26*c**2/5 + 38*c/15. -2*c*(c - 19)*(c - 1)**2/15 Factor -s**2/5 - 326*s/5 - 26569/5. -(s + 163)**2/5 Determine i so that -2*i**5/9 + 130*i**4/9 + 2*i**3/3 - 394*i**2/9 + 260*i/9 = 0. -2, 0, 1, 65 Let -2*d**3/11 - 288*d**2/11 - 11424*d/11 - 73984/11 = 0. What is d? -68, -8 Find t such that 2*t**4/3 + 8*t**3 + 20*t**2 + 56*t/3 + 6 = 0. -9, -1 Let -f**2 + 16*f + 80 = 0. Calculate f. -4, 20 Let -h**3 + 12*h**2/5 + 9*h/5 = 0. What is h? -3/5, 0, 3 Let 2*t**4/15 + 6*t**3/5 + 26*t**2/15 - 6*t/5 - 28/15 = 0. What is t? -7, -2, -1, 1 Factor -5*q**2 + 4220*q. -5*q*(q - 844) Factor -4*j**4 - 16*j**3 + 40*j**2 + 112*j + 60. -4*(j - 3)*(j + 1)**2*(j + 5) Suppose -x**2/6 + 96*x - 13824 = 0. Calculate x. 288 Factor x**3/3 + 17*x**2 + 126*x. x*(x + 9)*(x + 42)/3 Let -y**2/3 - 140*y/3 - 139/3 = 0. Calculate y. -139, -1 Determine v so that -2*v**3/3 + 70*v**2/3 - 68*v/3 = 0. 0, 1, 34 Let -16*g**5 - 394*g**4 - 2884*g**3 - 3024*g**2 + 22356*g - 16038 = 0. Calculate g. -9, 1, 11/8 Factor 18*b**4 - 3*b**3/2. 3*b**3*(12*b - 1)/2 Let 2*r**5 + 2*r**4 - 34*r**3 - 106*r**2 - 112*r - 40 = 0. What is r? -2, -1, 5 Solve 2*c**2/11 - 166*c/11 - 168/11 = 0. -1, 84 Factor 10*k**4 + 84*k**3 - 58*k**2 - 36*k. 2*k*(k - 1)*(k + 9)*(5*k + 2) Factor -v**3 + 356*v**2 + 1075*v + 718. -(v - 359)*(v + 1)*(v + 2) Determine n, given that 20*n**4 + 165*n**3 + 25*n**2 - 120*n = 0. -8, -1, 0, 3/4 Factor 4*j**5 - 8*j**4 - 52*j**3 - 40*j**2. 4*j**2*(j - 5)*(j + 1)*(j + 2) Factor l**4/3 + 2*l**3/3 - 16*l**2 - 130*l/3 + 175/3. (l - 7)*(l - 1)*(l + 5)**2/3 Factor -3*r**4 - 1488*r**3 - 185994*r**2 - 367536*r - 183027. -3*(r + 1)**2*(r + 247)**2 Let -5*k**4 - 215*k**3 + 675*k**2 - 685*k + 230 = 0. What is k? -46, 1 Find k such that k**2 - 82*k + 840 = 0. 12, 70 Determine r so that -r**5/5 + 9*r**4/5 - 22*r**3/5 + 6*r**2/5 + 23*r/5 - 3 = 0. -1, 1, 3, 5 What is o in o**5 + 8*o**4 - 59*o**3 + 78*o**2 = 0? -13, 0, 2, 3 Let -5*v**2 + 5*v + 10 = 0. What is v? -1, 2 Find r, given that 36*r**2 - 6*r + 1/4 = 0. 1/12 Factor 5*c**4 - 60*c**3 - 15*c**2 + 170*c + 120. 5*(c - 12)*(c - 2)*(c + 1)**2 What is q in -3*q**5/4 + 9*q**4 - 6*q**3 - 51*q**2/2 + 27*q/4 + 33/2 = 0? -1, 1, 2, 11 Factor 4*w**4 - 20*w**3 - 36*w**2 + 180*w. 4*w*(w - 5)*(w - 3)*(w + 3) Factor -4*k**2 - 88*k - 340. -4*(k + 5)*(k + 17) Solve 3*y**4/2 - 325*y**3/2 + 1059*y**2/2 - 947*y/2 + 105 = 0. 1/3, 1, 2, 105 Find c, given that -15*c**5 + 55*c**4 + 1370*c**3 + 5310*c**2 + 6885*c + 1755 = 0. -3, -1/3, 13 Determine c so that -8*c**3/5 + 62*c**2 + 78*c/5 = 0. -1/4, 0, 39 Factor -2*u**4/11 + 144*u**2/11 - 2592/11. -2*(u - 6)**2*(u + 6)**2/11 What is a in 2*a**5/3 - 12*a**4 - 82*a**3/3 + 12*a**2 + 80*a/3 = 0? -2, -1, 0, 1, 20 Find a, given that 20*a**3 + 16*a**2 - 4*a = 0. -1, 0, 1/5 Factor -4*t**3 + 16*t**2 - 16*t. -4*t*(t - 2)**2 Factor -3*n**4 - 219*n**3 - 1857*n**2 + 2079*n. -3*n*(n - 1)*(n + 11)*(n + 63) Factor -w**5/6 + w**4 - 3*w**3/2 + 2*w**2/3. -w**2*(w - 4)*(w - 1)**2/6 Find i, given that i**2/2 + 211*i/2 = 0. -211, 0 Find x, given that -3*x**3/2 - 73*x**2/2 - 12*x = 0. -24, -1/3, 0 Factor -3*v**4 - 3*v**3 + 30*v**2 - 24*v. -3*v*(v - 2)*(v - 1)*(v + 4) Determine l, given that l**4/2 + 3*l**3/2 - 5*l**2 = 0. -5, 0, 2 Find z such that -24*z**5 + 66*z**4 - 39*z**3 + 6*z**2 = 0. 0, 1/4, 1/2, 2 Factor -2*g**3/5 + 254*g**2/5 + 2*g/5 - 254/5. -2*(g - 127)*(g - 1)*(g + 1)/5 Solve -f**2 - 9*f/2 - 2 = 0. -4, -1/2 Factor z**2/3 - 56*z + 167/3. (z - 167)*(z - 1)/3 What is c in 7*c**4 -
{ "pile_set_name": "DM Mathematics" }
- 7*u**2 - 8*u - 4 What is the r'th term of 90302743, 180605487, 270908231? 90302744*r - 1 What is the d'th term of -5002773, -5002774, -5002775, -5002776, -5002777? -d - 5002772 What is the z'th term of 51808, 51155, 50502, 49849, 49196, 48543? -653*z + 52461 What is the p'th term of 5313, 22359, 50763, 90519, 141621? -p**3 + 5685*p**2 - 2*p - 369 What is the x'th term of 73836, 295323, 664456, 1181229, 1845636? -x**3 + 73829*x**2 + 7*x + 1 What is the x'th term of 392164966, 392164964, 392164962, 392164960, 392164958, 392164956? -2*x + 392164968 What is the f'th term of 19042341, 19042335, 19042325, 19042311? -2*f**2 + 19042343 What is the b'th term of 846995, 1694008, 2541021, 3388034, 4235047? 847013*b - 18 What is the m'th term of -123646, -248484, -373322? -124838*m + 1192 What is the c'th term of 1610266, 1610294, 1610322, 1610350? 28*c + 1610238 What is the c'th term of 7451387, 7451384, 7451381, 7451378? -3*c + 7451390 What is the o'th term of -2361, -13863, -33041, -59895? -3838*o**2 + 12*o + 1465 What is the r'th term of 6978, 15173, 23370, 31569, 39770, 47973? r**2 + 8192*r - 1215 What is the g'th term of 290, 1283, 2978, 5387, 8522, 12395? 2*g**3 + 339*g**2 - 38*g - 13 What is the x'th term of 340654570, 340654575, 340654584, 340654597, 340654614, 340654635? 2*x**2 - x + 340654569 What is the o'th term of 1448690, 1448692, 1448694? 2*o + 1448688 What is the z'th term of -74598, -112309, -150020? -37711*z - 36887 What is the z'th term of -442662, -439802, -436942, -434082? 2860*z - 445522 What is the g'th term of -1012, -5495, -13494, -25009? -1758*g**2 + 791*g - 45 What is the g'th term of -335655, -671425, -1007205, -1342995? -5*g**2 - 335755*g + 105 What is the k'th term of -858874, -1717755, -2576632, -3435505, -4294374? 2*k**2 - 858887*k + 11 What is the t'th term of -71564, -144026, -216488, -288950, -361412? -72462*t + 898 What is the m'th term of 3369, 4176, 5103, 6144, 7293, 8544, 9891, 11328? -m**3 + 66*m**2 + 616*m + 2688 What is the h'th term of -9754, -9852, -9950? -98*h - 9656 What is the t'th term of 2201, 18387, 62209, 147485, 288033? 2303*t**3 + 65*t - 167 What is the t'th term of 235609, 235590, 235571? -19*t + 235628 What is the u'th term of 50460, 201796, 454026, 807156, 1261192, 1816140, 2472006? u**3 + 50441*u**2 + 6*u + 12 What is the r'th term of -33446, -66997, -100546, -134093? r**2 - 33554*r + 107 What is the g'th term of 5346891, 10693775, 16040653, 21387525, 26734391? -3*g**2 + 5346893*g + 1 What is the a'th term of 1952, 5718, 11996, 20786? 1256*a**2 - 2*a + 698 What is the o'th term of -8872185, -8872237, -8872289? -52*o - 8872133 What is the j'th term of 7455, 16186, 24917, 33648? 8731*j - 1276 What is the z'th term of 3797024, 3797026, 3797028? 2*z + 3797022 What is the u'th term of 193990, 388078, 582166, 776254, 970342, 1164430? 194088*u - 98 What is the m'th term of -8639292, -8639293, -8639294? -m - 8639291 What is the y'th term of -233070, -466133, -699186, -932229, -1165262, -1398285, -1631298? 5*y**2 - 233078*y + 3 What is the d'th term of 52994, 52966, 52932, 52886, 52822, 52734? -d**3 + 3*d**2 - 30*d + 53022 What is the c'th term of -454, -618, -870, -1210? -44*c**2 - 32*c - 378 What is the t'th term of -110346, -220710, -331076, -441444, -551814, -662186? -t**2 - 110361*t + 16 What is the p'th term of 1364273, 1364519, 1364755, 1364975, 1365173, 1365343? -p**3 + p**2 + 250*p + 1364023 What is the n'th term of -448995, -448538, -447777, -446712, -445343, -443670, -441693? 152*n**2 + n - 449148 What is the q'th term of -108, 205, 666, 1347, 2320, 3657? 12*q**3 + 2*q**2 + 223*q - 345 What is the o'th term of 18841, 37679, 56513, 75343, 94169? -2*o**2 + 18844*o - 1 What is the h'th term of -29287, -30940, -32593, -34246? -1653*h - 27634 What is the l'th term of 25493, 28852, 32209, 35564, 38917, 42268? -l**2 + 3362*l + 22132 What is the l'th term of -33825, -135623, -305289, -542823, -848225, -1221495? -33934*l**2 + 4*l + 105 What is the x'th term of -192080, -192067, -192054, -192041? 13*x - 192093 What is the l'th term of 580024239, 580024238, 580024237, 580024236? -l + 580024240 What is the l'th term of 8488, 8420, 8308, 8152, 7952, 7708? -22*l**2 - 2*l + 8512 What is the d'th term of 427721, 855422, 1283123, 1710824, 2138525? 427701*d + 20 What is the c'th term of -1153, 9744, 27903, 53324, 86007, 125952? 3631*c**2 + 4*c - 4788 What is the v'th term of 10012, 9261, 8526, 7813, 7128, 6477, 5866? v**3 + 2*v**2 - 764*v + 10773 What is the n'th term of 96, 142, 226, 348, 508, 706? 19*n**2 - 11*n + 88 What is the n'th term of -3094, -28175, -97234, -232261, -455246, -788179, -1253050, -1871849? -3665*n**3 + n**2 + 571*n - 1 What is the w'th term of -406613, -406623, -406639, -406661, -406689, -406723, -406763? -3*w**2 - w - 406609 What is the q'th term of -154058, -616267, -1386658, -2465225, -3851962, -5546863, -7549922, -9861133? q**3 - 154097*q**2 + 75*q - 37 What is the v'th term of -165581, -165539, -165497, -165455, -165413? 42*v - 165623 What is the b'th term of 705219, 705405, 705601, 705813, 706047, 706309, 706605? b**3 - b**2 + 182*b + 705037 What is the h'th term of -314542, -314220, -313898, -313576, -313254? 322*h - 314864 What is the g'th term of 9716179, 9716373, 9716565, 9716755, 9716943, 9717129, 9717313? -g**2 + 197*g + 9715983 What is the t'th term of -7804, -15965, -24492, -33385? -183*t**2 - 7612*t - 9 What is the n'th term of 343701, 1374784, 3093249, 5499096? 343691*n**2 + 10*n What is the s'th term of -1851217, -3702434, -5553651, -7404868, -9256085, -11107302? -1851217*s What is the i'th term of 58081303, 58081305, 58081309, 58081315, 58081323? i**2 - i + 58081303 What is the u'th term of 60854, 60882, 60934, 61010, 61110, 61234? 12*u**2 - 8*u + 60850 What is the v'th term of 1981684, 1981581, 1981410, 1981171, 1980864, 1980489? -34*v**2 - v + 1981719 What is the a'th term of -143290, -1146253, -3868562, -9169891, -17909914, -30948305? -143279*a**3 + a**2 - 13*a + 1 What is the p'th term of -140635, -281260, -421879, -562492, -703099? 3*p**2 - 140634*p - 4 What is the t'th term of 232551, 232573, 232593, 232611, 232627, 232641? -t**2 + 25*t + 232527 What is the w'th term of -1339, -2627, -3837, -4933, -5879, -6639, -7177? 6*w**3 + 3*w**2 - 1339*w - 9 What is the m'th term of 285, 177, 417, 1179, 2637, 4965, 8337, 12927? 29*m**3 - 311*m + 567 What is the i'th term of -107909, -215785, -323627, -431435? 17*i**2 - 107927*i + 1 What is the c'th term of 2587770, 2587770, 2587784, 2587818, 2587878? c**3 + c**2 - 10*c + 2587778 What is the c'th term of -1530, -3876, -7786, -13260, -20298, -28900, -39066? -782*c**2 - 748 What is the f'th term of -56487, -56502, -56521, -56544, -56571, -56602? -2*f**2 - 9*f - 56476 What is the y'th term of 9504, 12175, 14860, 17565, 20296, 23059? y**3 + y**2 + 2661*y + 6841 What is the g'th term of 5332979, 5332986, 5332993? 7*g + 5332972 What is the l'th term of -3107295, -3107337, -3107379, -3107421? -42*l - 3107253 What is the z'th term of -175174046, -175174050, -175174054, -175174058, -175174062, -175174066? -4*z - 175174042 What is the m'th term of 1571705, 1571627, 1571547, 1571465, 1571381, 1571295? -m**2 - 75*m + 1571781 What is the d'th term of 111712, 111712, 111720, 111742, 111784, 111852? d**3 - 2*d**2 - d + 111714 What is the g'th term of 1100557, 4403730, 9909019, 17616424, 27525945? 1101058*g**2 - g - 500 What is the b'th term of 117, 779, 1989, 3747, 6053, 8907? 274*b**2 - 160*b + 3 What is the n'th term of 127044, 253619, 380204, 506799, 633404, 760019, 886644? 5*n**2 + 126560*n + 479 What is the y'th term of 687, 904, 1129, 1362, 1603? 4*y**2 + 205*y + 478 What is the k'th term of 5300, 5042, 4598, 3968? -93*k**2 + 21*k + 5372 What is the c'th term of 12418122, 12417998, 12417874, 12417750? -124*c + 12418246 What is the n'th term of -1169, -5419, -12743, -23141, -36613? -1537*n**2 + 361*n + 7 What is the u'th term of 4785, 9605, 14415, 19215, 24005, 28785? -5*u**2 + 4835*u - 45 What is the h'th term of 562601, 1124582, 1686563, 2248544, 2810525, 3372506? 561981*h + 620 What is the m'th term of -178449, -356855, -535261, -713667, -892073, -1070479? -178406*m - 43 What is the m'th term of -25716678, -25716680, -25716682? -2
{ "pile_set_name": "DM Mathematics" }
1 Express 59 + 18*d**2 + 53 - 170 + 64 + 4*d**3 + 5*d**4 - 3*d**4 as z*d**2 + v*d**4 + x + r*d**3 + i*d and give v. 2 Express 14797 - 7405 - 7392 + 15449*i**2 in the form w*i**2 + y + j*i and give j. 0 Express r**2 - 1476*r - 5664*r - 2451*r + 273*r in the form b + j*r + q*r**2 and give q. 1 Rearrange 31 - 45*l**2 - 5*l**3 + 3*l**4 - 26*l**2 + 95*l**2 - 23*l**2 to the form o + h*l**4 + i*l + a*l**3 + j*l**2 and give o. 31 Rearrange (-3*m + 11 - 11)*(-1 + 2 + 2) - 1626 + 1159*m + 1626 to the form p*m + c and give p. 1150 Rearrange -o**3 + 0 + 0 + (8044 - 8044 + 58*o**2)*(22*o + 21 - 21) to d*o**2 + q*o + k + t*o**3 and give t. 1275 Express (2 + 0 - 1)*(4 - 4 - 2)*((-3*a + 3*a + 2*a)*(-4 + 4 - 4) - 5*a + 5*a + 2*a)*(-8 + 2 - 11) in the form r + u*a and give u. -204 Rearrange (-457 - 10*w - 815 + 139)*(-w - w + w)*(3 - 2 - 3) to y*w**2 + l*w + a and give l. -2266 Express -2 - 106*n**2 + 160*n**4 - 159*n**4 + 5 - 31*n**2 + 7*n**2 as b*n**2 + q*n**4 + y*n**3 + i*n + r and give q. 1 Rearrange 141*k - 47*k + 75*k + 2 + (-2*k + 5*k - k)*(5 - 2 - 2) + (-6*k + 2*k + 5*k)*(1 - 4 + 5) + k + 0 + 0 to a*k + x and give x. 2 Rearrange (2817*f**3 + 2*f**2 + 5536*f - 11099*f + 5566*f)*(-1 + 1 - 2) to the form z*f**3 + j*f + x + g*f**2 and give j. -6 Express (-20*w**2 - 4*w - 14*w**2 + 39*w**2)*(-7*w + 3*w + 3*w)*(11251 - 100*w - 11251) as y + k*w + u*w**4 + v*w**2 + i*w**3 and give u. 500 Rearrange (11*r + 39*r + 65*r)*(-7 - 22 + 4)*(4*r + 4*r - 3*r) to the form l*r**2 + i*r + z and give l. -14375 Rearrange 43 + 163*w**2 + 36 - 79 + 1228*w**2 to l*w + d*w**2 + y and give d. 1391 Rearrange 3*i - 21393 + 22*i**4 - 19*i**2 + 21392 - 18*i**4 to u*i**4 + h*i + w + z*i**3 + v*i**2 and give v. -19 Rearrange -6*w**2 - 15*w**4 + 8*w + 2 + 40*w**4 - 27*w**4 - 15*w**4 + 8*w**2 to i*w**4 + s*w**2 + a*w + o*w**3 + r and give s. 2 Express 3*c + 12*c**2 - 80*c**2 + c - 6*c**2 - 6*c as z + b*c**2 + l*c and give l. -2 Rearrange -76*y - 239*y + 115*y - 195*y to the form b + l*y and give l. -395 Express (2*w - w - 4*w)*(4*w + w - 4*w) - 2183*w**2 + 14541*w - 14541*w as v*w + d*w**2 + p and give d. -2186 Rearrange (0*x - 3*x + x)*(x**3 - 192678*x**2 + 0*x**3 + 189955*x**2) to the form c*x + q*x**3 + u*x**2 + w + f*x**4 and give w. 0 Express 253*h**2 - 132*h**2 + 377 - 2*h - 980 - 2*h**4 + 2*h**3 - 121*h**2 as v*h**3 + b*h + z*h**4 + k + r*h**2 and give k. -603 Express 7 + 9 - 94*z**2 - 94*z**2 + 187*z**2 + 54*z - 5 in the form u*z**2 + f + j*z and give j. 54 Rearrange 21*n**3 - 9*n**3 + 4*n**3 + 21*n**3 + (4*n**2 - 11*n**2 - 9*n**2)*(-2*n - 20*n - 4*n) to the form u + c*n**2 + k*n + g*n**3 and give g. 453 Express (5*m + 8*m - m)*(0 - 2 + 3)*(0 + 3 - 2)*(2*m - 7*m + 6*m)*(-5 + 4 + 2) as a*m**2 + o*m + t and give a. 12 Rearrange (0 + 1 + 0)*(-9667*r**4 + 3829*r**4 + 3100*r**4) to o*r**2 + w*r + q*r**3 + i + d*r**4 and give d. -2738 Rearrange (6 + 2 + 28)*(2*i - 2*i + i) + 2*i - i + 19*i + (3 + 1 - 2)*(4*i - 2*i - 3*i) - 2*i - 3*i + 3*i to the form n + r*i and give r. 52 Rearrange 2*a + 55 + 154 + 2*a + 36 to the form k*a + d and give k. 4 Express (3 - 3 - 2*l)*(4*l**2 + 3*l**2 - 28*l**2) + 2*l**3 + 1 - 1 + (l + 1 - 1)*(1343 - 1343 + 110*l**2) in the form k*l**2 + z*l**3 + t + y*l and give z. 154 Express (-5 + 1 + 3 - 4 + 1 + 2 + (-1 - 3 + 3)*(5 + 4 - 7))*(-87*k - 118*k + 1 + 8*k) in the form a + w*k and give w. 788 Express 142*n - 264*n + n**3 + 133*n + 185*n + 27*n + n**4 as u + h*n**4 + r*n**3 + m*n + f*n**2 and give m. 223 Rearrange 263236*n**4 - n + 4 + 13 - 263239*n**4 - 2*n**2 + 8*n to the form r*n + h + q*n**3 + g*n**4 + p*n**2 and give g. -3 Rearrange -5*s**4 + 3*s**4 + s**4 + (-386*s - 347*s + 182*s)*(s**3 - 2*s**3 - s**2 + 0*s**2) to n + z*s**4 + c*s + g*s**3 + u*s**2 and give z. 550 Rearrange (0 + 0 - 2*l - 3*l + 5*l + 0*l + 4 - 4 - l + (-2*l + 2*l - 2*l)*(-2 - 1 + 2) + 2*l + 4 - 4)*(-59 - 776 - 596 - 463) to d + f*l and give f. -5682 Rearrange -98*y - 7 + 175885*y**2 - 87937*y**2 - 87946*y**2 to t*y**2 + p*y + n and give p. -98 Rearrange (1628 - 1970 - 4455 + 1004 - 4692)*(4 - 5*l - 4) to the form n*l + h and give n. 42425 Rearrange v - 5*v + 3*v - 2*v + 5 - 5 + (-4 + 5 - 2)*(-2*v - v + 2*v) + 11*v - 15*v - 19*v + 16*v + 2*v + 5*v to u + t*v and give t. -2 Express (-15*r + 7*r + 96*r**3 + r + 6*r)*(30 - 11 + 22) as t + c*r**3 + l*r**2 + f*r and give c. 3936 Rearrange (2 + 2 + 1)*(4*m - 4*m + 2*m)*(-3 + 1 + 0) + (3 - 2 + 0)*(38 + 9 + 1)*(-2*m - 3*m + 7*m) to o + c*m and give c. 76 Express 1721*f + 774*f - 759*f in the form n*f + q and give n. 1736 Rearrange (0 + 0 + 7)*(-66 + 54422*j - 28 - 54424*j) to p + n*j and give n. -14 Rearrange -2706*a**2 + 1354*a**2 - a + 1352*a**2 - 1073*a**3 + 2 to the form d*a + g + u*a**2 + i*a**3 and give g. 2 Express -p**4 + 12*p**4 + 0*p**4 + p**4 - 98*p**4 - 88*p**4 + (3*p + 0*p - 5*p)*(5*p - 5*p + 2*p**3) in the form w*p + n*p**2 + s*p**4 + y + h*p**3 and give s. -178 Express 194*a + 49*a - 243*a + 20733*a**2 in the form p + v*a**2 + x*a and give v. 20733 Express -60 + 603 + 3 - 135 - 2*n in the form w + h*n and give w. 411 Rearrange -42 + 5*z + 12 + 29 + 0*z - 6*z - z**4 - 4*z**3 - 12*z**2 to the form r*z**2 + b + v*z**3 + u*z**4 + m*z and give u. -1 Rearrange 3820923*j**2 - 3820923*j**2 + 2*j - 28*j**4 - 5*j + 1 to the form h*j**4 + y*j**3 + u + w*j**2 + t*j and give t. -3 Rearrange 8*o - 8*o - 18*o + (1 - 1 - 1)*(2*o - 4*o + o) - 1 - 2*o + 1 - 27*o + 29 - 29 + 3*o - 3*o - o to the form t + z*o and give z. -47 Rearrange 1983*k + 0 + 3 + 1239*k - 3 to the form i*k + x and give i. 3222 Express 2*j - 367 + 178 - 147 - 521 - 437 in the form x*j + g and give x. 2 Express (-10 + 11 - 23)*(2 + 1 - 4)*(3*p + p - 3*p) + (3*p + 0*p + 0*p)*(-2 + 2 + 1) + 0 - 2*p + 0 in the form f + t*p and give t. 23 Express (16811*s**3 - 9780*s**2 + 9780*s**2)*(-2 + 2 + 2) in the form m*s**2 + f + w*s + j*s**3 and give j. 33622 Rearrange (1 + 1 - 4)*(-s**2 + s**2 - s**2)*(s + 2*s - 2*s)*(17 - 2094*s + 1074*s + 1073*s) to the form i*s**4 + w*s + m + b*s**2 + q*s**3 and give q. 34 Express (-2*x**3 + 0*x**3 + 4*x**3)*(-21 + 21 + 6*x) - 147*x**4 + 13*x**2 + 72*x**4 + 87*x**4 in the form f*x**3 + a + c*x**2 + w*x + j*x**4 and give c. 13 Rearrange (-5*b + 4*b + 3*b + (17 - 28*b - 17)*(-2 + 4 + 1)*(-7 + 1 + 1))*(2 + 0 + 4) to the form s + t*b and give t. 2532 Express 5*g - 2*g - 4*g + (-9*g + 7*g - 2*g)*(4 + 3 - 5) - 35*g - 289 + 289 + (g - 4*g - 5*g)*(-1 + 0 + 4) as s + a*g and give a. -68 Rearrange (1 + 2 - 4)*(-7 + 250078*z + 99*z**3 - 95*z**3 - 250116*z) to the form k*z**3 + x*z + u + o*z**2 and give k. -4 Express y**2 + 16 - 67 + 24 + 28 - 538*y as h*y**2 + i + n*y and give h. 1 Express -k + 0*k + 0*k + (-3 + 2 + 2)*(-2*k + 7*k - 3*k) - 4 + k + 4 - 2256 + 2256 - 260*k + (2 + 2 - 2)*(k + k - k) as f*k + r and give f. -256 Express -131 - 12*k**4 - 4*k**3 - 2*k + 2*k**3 - 84 + 213 in the form o + w*k**2 + f*k**3 + i*k + m*k**4 and give o. -2 Express (-2*t - 2*t - 3*t)*(-23*t**2 - 16*t**2 + 13*t**2) + 2*t**3 + 11*t**3 - 4*t**3 as o + w*t**2 + y*t**3 + d*t and give y. 191 Express 5*i - 253*i**2 + 13*i + 23*i - 40*i as m + h*i + y*i**2 and give y. -253 Express 6*s**3 - 99*s**2 - s**3 - 53*s**2 - 29*s**2 - 2 + 31*s**2 as w*s**3 + h*s**2 + d*s + f and give f. -2 Express 31*g**4 - 7*g**2 - 4*g - 2 - 41*g**3 - 55*g**3 + 94*g**3 - 34*g**4 in the form c + i*g + o*g**3 + a*g**4 + r*g**2 and give a. -3 Express (-2*p - 3*p + 3*p)*(-4 - 2 + 3) - 12 + 12 - 1 - 463*p as l + w*p and give w. -457 Rearrange (5*n - 2*n - n)*(-4630*n - 4104*n - 5039*n - 2473*n - 5722*n) to the form m + s*n + a*n**2 and give a. -43936 Express -50946*w + 3*w**3 + w**2 + 0*w**2 - 7 + 50948*w - 4*w**3 as z*w**2 + k*w**3 + m + x*w and give m. -7 Rearrange (-r**3 + 0*r**2 + 0*r**2)*(-551 - 689 - 210) - r**2 + 3*r**3 + r**2 to j*r + b*r**2 + o*r**3 + d and give o. 1453 Rearrange 606*k - 8 + 8 + 2761*k to the form t + g*k and give g. 3367 Rearrange -304 - 302 - 301 - 1168*s**2 + 907 to t*s + w*s**2 + z and give w. -1168 Rearrange -8 - 5 - 191*y**2 - 8 - 49*y**2 + 6 to the form d + j*y + l*y**2 and give d. -15 Rearrange (-14*p - p - 3*p)*(-3 + 0 + 1) + 3*p - 8*p - p + (-4*p + 2*p + 0*p)*(-3 + 0 + 1) - 4 + 4 + 3*p to l*p + u and give l. 37 Express 3*u + 6*u**2 - 3*u - 2*u**2 - 186 + 358 - 2*u - 177 + (3 - 3
{ "pile_set_name": "DM Mathematics" }
- 2*p + 3*p + 53 - 24. Calculate d(-6). -7 Let y(j) = -6*j + 33. Let r(q) = -q + 5. Let t(o) = -5*r(o) + y(o). What is t(-6)? 14 Let d(a) be the second derivative of -a**7/840 + 7*a**6/360 - 7*a**5/120 + 7*a**4/24 + 3*a**3 + a. Let j(h) be the second derivative of d(h). Give j(6). 1 Suppose 0 = -2*k - 3*m - 21, -4*m = -2*k - 0*m - 14. Let n = k + 4. Let w(i) = -i**3 - 3*i**2 + 6*i - 5. What is w(n)? 15 Let u(q) = -q. Let x be u(3). Let r be (-21)/(-63) - 17/x. Let d(j) = 7*j**3 - 6*j**3 + r*j**2 + 1 + j + j + j. What is d(-2)? 11 Let s = -242 - -246. Let v(c) be the third derivative of -1/12*c**s + 0 + 5*c**2 + 0*c + c**3. Calculate v(5). -4 Let k be (-16)/(-20)*(-5)/(-2). Let z(l) = 5*l + l**3 + 2*l - 2 - 7*l - l - 5*l**k. Let v be z(5). Let t(p) = -p**2 - 7*p - 6. Give t(v). -6 Let n(r) be the second derivative of 0 + 2/3*r**3 + 1/12*r**4 + 11*r - 1/10*r**5 - 3/2*r**2. Let f(t) = -t + 8. Let p be f(6). What is n(p)? -7 Suppose 4*z - 44 = -60. Let w(j) = 7*j - 2. What is w(z)? -30 Let x(z) = z + 12. Let a(s) = s**2 + 15*s + 35. Let k be a(-11). What is x(k)? 3 Let i(m) = -6*m**3 - 8*m**2 - 4*m - 3. Let o be i(-3). Suppose -95*n + 16 = -o*n. Let s(z) = z**2 + 4*z + 3. Give s(n). 3 Let f(h) be the second derivative of h**3/6 - 5*h**2/2 + 11*h. Let x = 33 - 22. Let n be f(x). Let t(k) = k**3 - 6*k**2 - 2*k + 1. Determine t(n). -11 Let f(l) = -l**2 + 14*l - 49. Let u(m) = m**3 - m**2 + 2*m - 3. Let i be u(2). Determine f(i). -4 Let s(l) be the second derivative of l**5/20 - l**4/12 + l**3/6 + 21*l**2/2 - 7*l - 3. Give s(0). 21 Let r(t) be the third derivative of -t**4/24 - t**3/2 - 14*t**2 + 3. Calculate r(9). -12 Let f(i) be the first derivative of i**3/3 - 15*i**2/2 + i - 227. Calculate f(6). -53 Let p(a) = -4*a - 49. Let j(q) = -3*q - 34. Let z(g) = -7*j(g) + 5*p(g). What is z(-6)? -13 Let z(d) = 239*d - d**3 + 9 - 485*d + 14*d**2 + 232*d + 3. Calculate z(13). -1 Let a(w) be the second derivative of -1/2*w**3 - 5/2*w**2 + 1/3*w**4 + 0 - 2*w + 1/20*w**5. Determine a(-4). 7 Suppose -4*y = -11 - 1. Let f(t) = -6*t + 3 + 9*t - t**y - 4. Determine f(-3). 17 Let i(r) = 4*r**2 + 4*r + 2. Let h(m) = 7*m**2 + 8*m + 3. Let t(x) = 3*h(x) - 5*i(x). Let s = -103 - -97. Give t(s). 11 Let r(m) = 4*m - 43. Let o be r(10). Let c(u) = -u**3 - 3*u**2 + 2. What is c(o)? 2 Suppose -3*r - 4 = -2*r + 3*s, -2*s = 4. Let j(a) = -a + r*a + 15 - 5. Let q be (6/(-4) + 2)/(-1)*(-26 - -26). Determine j(q). 10 Suppose -2*p + 6 = p. Let b(f) = -f**3 - 1931*f + 1931*f - p*f**2. Give b(-2). 0 Let d = 9 + -3. Suppose -3*n = -v - 145, -2*n + 137 = n + v. Let c(t) = -t - 42 + n - t. Calculate c(d). -7 Let v(w) be the third derivative of -w**6/30 - w**4/24 + 11*w**2 - 2. Let x be (-6)/(-18) + 4/6. Give v(x). -5 Let n be 0/((-3)/((-3)/2)). Let t = 55 + -53. Let o(h) = -3 + 6 + h**2 - t*h**2 - h. What is o(n)? 3 Let p(t) = 3*t**2 + 6*t + 5. Let q = -1391 - -1386. Give p(q). 50 Let l(b) = 2*b**3 - 2*b + 0*b**3 + 2*b**2 + 0 - 1. Suppose 9 = 3*x + 12. Let w be -1*(x/6 + (-130)/(-60)). Determine l(w). -5 Let y(m) = -m**2 + 2*m + 1. Let w(a) = -a**2 + 2*a + 2. Let c = 64 - 67. Let r(g) = c*w(g) + 2*y(g). What is r(5)? 11 Let z(c) = -7*c**3 + 4*c**2 + 2*c. Let w(r) = 9*r**3 - 4*r**2 - r - 2. Let k(j) = -3*w(j) - 4*z(j). What is k(5)? 6 Let x(y) = -y**3 - y**2 + y + 12. Let r be (2 + -5)/((-3)/(-2)). Let o be 0/(((-30)/(-20))/((-3)/r)). What is x(o)? 12 Let o be (6 + -1)/(264/(-36) - -7). Let x(r) = 2*r + 21. Give x(o). -9 Suppose -18*k + 150 = 6. Let v(c) = -2*c + 13. What is v(k)? -3 Let b(x) be the first derivative of -x**4/4 + 4*x**3/3 + 4*x**2 - 6*x - 2. Suppose 5*p = 2*s + 36, 3*s - 9 = -3*p - 0*p. Suppose -3*d = -p - 9. Calculate b(d). 9 Let f be 2/(-4) - 26/4. Let d be 124/20 - (0 + (-3)/(-15)). Let n(p) = -d + 1 - p + 5. Give n(f). 7 Let p(x) = x**3 - 6*x**2 + 4*x - 3. Let b be (-1 - -5)*-5*1/(-4). Determine p(b). -8 Let z(f) = -1 + 4*f**3 - 2*f**2 + 2*f - 2*f**3 + 0*f. Let v be 3 - ((-33)/1)/3. Suppose 2*t + 1 = -5*s - 0, 2*s - 4*t = v. Calculate z(s). 1 Let l(r) = -r**2 + 4*r + 3. Let i = 7 + -7. Suppose i = -w + 3 + 1. Determine l(w). 3 Let k(z) = -z**3 - 2*z**2 + 4*z + 6. Let m(p) = -3*p + 4. Let s be m(0). Suppose 12*j = 13*j + s. Determine k(j). 22 Let t(w) = -3*w**3 + 47*w**2 - 47*w + 9. Let n(s) = s**3 - 16*s**2 + 16*s - 3. Let v be 1 - -3 - 4/(-2). Let x(i) = v*t(i) + 17*n(i). Calculate x(9). -6 Suppose -3*o = 0, -12 - 15 = -3*b + 2*o. Let q be (-3)/(-9) + 15/b. Let p(l) = 4*l - 2*l - q*l - l + 4. What is p(5)? -1 Let m(t) = 13*t**2 - 29*t + 9. Let g(p) = 8*p**2 - 19*p + 6. Let l(a) = 8*g(a) - 5*m(a). What is l(-9)? -15 Let m(h) = -43*h**2 - 6 + 12*h**2 - h + 16*h**2 + 16*h**2. Give m(-4). 14 Let b(j) = -81*j - 213. Let k(t) = -50*t - 142. Let v(y) = 5*b(y) - 8*k(y). Determine v(15). -4 Let j(k) = -k**2 - 7*k - 2. Let o(d) = 2*d - 17. Let q = -36 - -42. Let h be o(q). What is j(h)? 8 Let n = -14 - -23. Suppose 7*h - h - 12 = 0. Let q(x) = 0 - h - 3*x + 4*x - n. What is q(6)? -5 Suppose 3*a = 4*f + 3, 0*a + 3*a = -9. Let p be (-2)/((-6)/(-27)) + 5. Let y(b) = 8*b - 1. Let i(c) = -23*c + 3. Let g(m) = p*i(m) - 11*y(m). What is g(f)? -13 Let y(r) = r**2 + 12*r + 30. Let m = -852 - -849. Give y(m). 3 Let j(i) = -6*i**2 - 2*i - 5. Let a(m) = 5*m**2 + 2*m + 4. Let u(h) = -5*a(h) - 4*j(h). Let v(l) = 8*l - 186. Let y be v(23). What is u(y)? 0 Let y be 3/(-6)*2 - 15. Let s = y - -22. Let u(f) = -f**3 + 7*f**2 - 7*f. Let g be u(s). Let t(o) = o**2 + 8*o + 8. Calculate t(g). -4 Let v(w) = -5*w + 87. Let m be v(17). Let d(g) = -18*g**2 - 16*g**m + 3*g**2 + 15*g**2. Suppose 0 = 3*h - 4*x - 5, 2*h = 3*x + 2*x + 8. Determine d(h). -16 Let z = 1872 + -1872. Let m(b) = b**3 - 2*b**2 + b. Give m(z). 0 Let y = 26 - 24. Suppose i - 8 = 3*f, -i = y*f + 4 - 2. Let t(d) = -d**2 + 2*d. Determine t(i). 0 Let t(g) = 16*g**2 - 5*g - 27. Let j(y) = 19*y**2 - 6*y - 26. Let f(q) = -5*j(q) + 6*t(q). Calculate f(5). -7 Suppose -2*d - 2*d = -4, 2*i + 2*d = 10. Suppose 70 + 15 = 17*m. Let t(g) = -i + 6*g + 7 - 5 + m. Calculate t(-2). -9 Let w(f) = -f**3 - 4*f**2 + 4*f - 1. Suppose 7*g - 119 = -0*g. Let d be (g + -2)*(0 - 1/3). Determine w(d). 4 Let i(z) = -z**3 - 7*z**2 + 19*z + 5. Let n be 144/(-64)*(13 + -9). Give i(n). -4 Let s(b) = b**2 - 11*b - 26. Let i(p) = -2*p**2 + 25*p + 52. Let v(c) = 3*i(c) + 5*s(c). Give v(21). 5 Let m = -18 - -26. Let r(f) = 3 - m + 6 - 2*f + 0*f. Let t = 55 - 59. Determine r(t). 9 Let f(z) = 7*z**3 - 8*z - 5. Let w(x) = 8*x**3 - 9*x - 6. Let i(h) = 7*f(h) - 6*w(h). Let q = 4 - 0. Suppose -m - m = q. Determine i(m). -3 Let d(c) = 0 - 4*c + 7 - 5. Let z(p) = -23*p + 12. Let f(i) = 34*d(i) - 6*z(i). Give f(4). 4 Let v(t) = 2*t**2 + t + 1. Suppose 0 = -a + 5*i - 1, 0 = 3*a - 2*i + 11 - 21. Determine v(a). 37 Let a be ((-2)/(-6))/((-3)/(-27)). Let h = 27 - 23. Let n(u) = -u**a + 6*u + u**2 - 4*u**3 - 6*u**2 + h*u**3. What is n(-6)? 0 Let u(h) = -h**2 + 9*h. Let s be -7*(8 - 7 - 2). What is u(s)? 14 Suppose -2*d - 355 = 3*d. Let m = d - -74. Let a(i) = 2*i**2 - 4*i + 2. Determine a(m). 8 Let u(r) = -r - 4. Suppose -4 = -4*a + 16. Let k(n) = -a*n + n + n + 6. Let q be k(3). Determine u(q). -1 Let x(n) = -n**3 + 6 - 20 + 7*n**2 + 0*n**3 + 11 - 4*n. Determine x(5). 27 Let f(a) = -3*a**2 - 10*a + 11. Let j(s) = 11*s**2 + 29*s - 31. Let c(h) = -7*f(h) - 2*j(h). Give c(11). -4 Let b = 117 + -234. Let l = b + 113. Let m(x) = x - 5. What is m(l)? -9 Let y(z) = -3*z**2 - 6*z - 1. Let g be y(-2). Let k(r) = r. Let j(a) = -a**2 - a + 1. Let s(h) = g*j(h) - 3*k(h). Determine s(2). -1 Let c = 107 + -116. Let r(q) = -q**2 - 9*q + 6. Calculate r(c). 6 Let w(g) = -9*g**3 + 27*g**2 + 3*g - 11. Let f(p) = 5*p**3 - 14*p**2 - p + 6. Let y(a) = -11*f(a) - 6*w(a). Give y(-5). -40 Suppose 18*k - 6*k = -96. Let s(t) = t**3 + 8*t**2 - 2*t - 11. Determine s(k). 5 Let n(r) = -1 + 0*r**3 + r**3 - 3*r**2 - 2 + 4*r. Let v be ((0 + -13)*1)/1. Let a = v + 16. What is n(a)? 9 Let k be (-4)/(7/((-21)/6)). Suppose 0 = 5*u - 32 + k. Let r(b) = -5 + 2 - 1 + 2*b. Give r(u). 8 Let b(y) = 7*y - 4. Let g be b(3). Let q = 14 - g. Let m(w) = 0 + 2*w - 3 + w**2 + 5. Determine m(q). 5 Let f(k) = 2 - 42*k**2 - k**3 + 42*k**2. Let z be f(0). Let a(y) = y - 1 + 2 + z. What is a(0)? 3 Let i(w) = 26 + 3*w + 19 - w**2 + 4*
{ "pile_set_name": "DM Mathematics" }
4) - (-7 - 1)? 91 Suppose m + 8 = 3*m. Suppose -5*d + 28 + 7 = 0. Calculate the lowest common multiple of d and 12/(((-6)/(-10))/(6/m)). 210 Let y be 1214/(-8)*(-8 + 4) + 0. Let o = y - 6686/11. Calculate the common denominator of o and -74/9. 99 Let a be (0 - 147)*18/(-27). Suppose -4*i + a + 10 = 0. What is the least common multiple of (-9 - (0 + -10))/((-1)/(-3)) and i? 27 Suppose -x + 50 = -4*u, u = 2*x + 27 - 92. Calculate the lowest common multiple of x and 285. 570 Let f(l) = -l**3 - 13*l**2 + 28*l - 5. Let m be f(-16). What is the common denominator of 20/m*83 - 5 and 115/72? 504 Let g(v) = v**2 - v. Let d(h) = 189*h**2 + 18. Let a(q) = d(q) - 3*g(q). Let k be a(-8). Let i = k - 166473/14. What is the common denominator of -113/20 and i? 140 Let a be 140347/(-26026) + 49 + -44. Let v = 1/338 + a. Calculate the common denominator of v and -38. 77 Suppose 207 = 52*r + 883. Let u(v) = 2*v**2 + 30*v + 136. What is the least common multiple of 42 and u(r)? 84 Let l = -357312 + 28942312/81. Let p = -886/47 + 38126/1833. Calculate the common denominator of l and p. 1053 Let i = 52276310084603218/337239 + -155012647070. Let a = 4/6363 + i. Let x = a + 4769/477. Find the common denominator of x and 86/15. 45 Suppose 44*o - 2133 + 291 = 1546. What is the least common multiple of 1701 and o? 18711 Suppose 0 = 5*r - 3*d - 0*d - 2958, -3*d = 2*r - 1158. Calculate the smallest common multiple of 2940 and r. 2940 Suppose -a + 4*r - 35 = 0, 0*r - 5*r + 10 = 0. What is the least common multiple of 262/16 - a/(-72) and 80? 80 Find the common denominator of 169/360 and -7 - (33177/(-4836) - (-24)/468). 11160 Suppose 3*c - 315 = -y, -390 = -4*c - 2*y + 32. What is the common denominator of -51/91 and 3 - (717/c - (-7 - -10))? 728 Let b(s) = -s**2 + s. Let k be b(-1). Suppose -22 = -2*i - 3*x, -3*i - 11 = -4*i - 5*x. Calculate the common denominator of k/i + (-8076)/1320 and 73/12. 60 Suppose -4*p + 141 + 187 = 4*q, 3*p - 416 = -5*q. Suppose 0*f + 4*f - 525 = -5*k, -63*k = -4*f - 359. What is the least common multiple of f and q? 1955 Suppose 4*v - 140 = -48*y + 38*y, 0 = -4*y + 5*v + 122. Suppose x = -4*r + 6 - 4, -2*r + 28 = 5*x. Calculate the least common multiple of y and x. 18 Let t(p) = 588*p**3 + 120*p**3 + 85 + 90 - p**2 - 2*p - 183. Let u be t(-2). Let l = 79475/14 + u. Find the common denominator of -5/16 and l. 112 Suppose 176 = -5*d + 3*k + 21, 2*d = -2*k - 46. What is the common denominator of 51/28 and (-364)/(-32)*7/d? 224 Let w = 207725 - 31158583/150. What is the common denominator of 79/2250 and w? 2250 What is the common denominator of (-106)/(-11) + (39 - 51) and -37/219? 2409 Let s(p) = p**2 + 11*p + 30. Let v = -1 + -7. What is the smallest common multiple of 4 and s(v)? 12 Suppose -1341*o + 1336*o = -40. Calculate the lowest common multiple of o and (-4)/(-18) + (-574)/(-9). 64 Suppose 10 = 5*n - 4*v, -v + 6*v = 0. Let a = 4 - n. What is the least common multiple of a and 130/1105 - (8/68 - 2)? 2 Let k be 61872/36 + (3 - (-24)/(-9)). Suppose k*q = 1722*q - 45. What is the least common multiple of 28 and q? 420 Let s = 99 + -93. Suppose -3*w - 3*v = s, 0 = 3*w - 3*v - v - 29. Suppose -i + 16 = w*i. Calculate the lowest common multiple of i and 6. 12 Let x(q) = q**3 - 31*q**2 - 11*q - 7. Let f be x(31). Let c = -1051/3 - f. Let m = -3270 - -19667/6. Calculate the common denominator of m and c. 6 Let n = -34726 + 1458589/42. Calculate the common denominator of 89/918 and n. 6426 Suppose -5*a - 4*n + 344 = -2*a, 0 = -2*a - 2*n + 232. Suppose 7*k = k - a. Calculate the smallest common multiple of 2 and 1/((-2)/k*2). 10 Suppose 0 = -2*g - 0*g + 4*j + 4, 0 = -2*g + 3*j + 4. Let m(l) = -l**3 + 8*l**2 + 7*l - 5. Calculate the least common multiple of m(8) and -7*g*(2 - 10/4). 357 Let h(p) = -p**3 - 38*p**2 - 36*p + 121. What is the least common multiple of 6 and h(-37)? 84 Suppose 5*w - 240 = 12*c - 16*c, 5*w - 60 = -c. What is the least common multiple of 3240 and c? 3240 Let j be ((-471614)/9555)/(-1 + 1 + -38). Let w = j - 91/285. Calculate the common denominator of w and 173/42. 294 Suppose -3*z = -3*i + 28 + 8, 5*z = i - 20. What is the lowest common multiple of 178 and i? 890 Let x(i) = 5*i**2 + 3*i. Let a be (-1 - -7)/3*6. Calculate the least common multiple of x(-4) and (-10 + a)/(2 - 6/4). 68 Let l(n) = n**3 + 7*n**2 + 28*n + 126. Calculate the least common multiple of l(-5) and 1053. 4212 Let f(m) = -2*m**3 - 17*m**2 - 17. Let t(o) = 2*o**3 + 18*o**2 + o + 18. Let n(g) = 5*f(g) + 4*t(g). Calculate the least common multiple of n(-7) and 73. 584 Let b = 9457727 - 255070556/27. Let m = b - 10672. Calculate the common denominator of m and -157/66. 594 Let a be (-2)/(-5) + (-278)/700. Let v = a - -12767/2800. What is the common denominator of v and (-229)/(-22) + 6 + -14? 176 Suppose q = 31 + 23. Suppose 0 = 2*u - 2*a - 23 - 45, 4*a - 44 = -u. What is the lowest common multiple of u and q? 108 Suppose 45*t - 265 = -85. What is the common denominator of (-1 - (-6)/t) + 2349/243 and (-94)/(-12)*(0 + -3)? 6 Let n = -6689693/556982255 - 4/248099. What is the common denominator of n and -11/4041? 20205 Find the common denominator of (3/69)/((-550)/(-775)) and -87/46. 506 Let y = 1359615 + -3730783603/2744. Find the common denominator of -19/392 and y. 2744 Let b(a) = -13*a + 410. Suppose 5 = -5*n + 6*n. Suppose -5*j = p - 140, -j + 1 = -n*p - 1. Calculate the lowest common multiple of j and b(29). 297 Let d = -11337 + 11340. Calculate the least common multiple of d and 12356. 37068 Let i be -5*-2*1*(-373)/(-2). Calculate the common denominator of (6/(-464))/(i/(-620) - -3) and -53/22. 638 Let u(l) = 6*l**3 + 21*l**2 - 4*l + 1. What is the smallest common multiple of u(-3) and 40? 40 Suppose 3*n + 56 = 3*t + 5*n, 4*n - 4 = 0. Suppose -77 - 571 = -54*h. Calculate the least common multiple of t and h. 36 Suppose 4*y + 247 - 962 = 3*n, 0 = -3*y + 5*n + 517. Calculate the lowest common multiple of y and 8. 184 Suppose -3*j + 4*l + 228 = 31, -4*l = 2*j - 118. What is the smallest common multiple of j and 126? 126 Suppose 0 = 3*p + 5*g - 5285, -34*p + 38*p - 3*g = 7037. Calculate the smallest common multiple of 20 and p. 1760 Suppose -703*g + 107*g = 80 - 4848. Calculate the least common multiple of g and 7392. 7392 Suppose 92 = 4*s - 44. Let z = 52 - s. Let n(g) = -6*g - 15. What is the least common multiple of n(-3) and z? 18 Let w(s) = -s**3 - 4*s**2 + 10*s. Let n = -97 - -121. Suppose -29*u + n = -33*u. Calculate the least common multiple of 64 and w(u). 192 Let d be (-8310)/(-24) + 9 + 1/(-4). Let q = d - 117. What is the least common multiple of q and 4? 476 Let g be 437/6 - (-19)/114. Suppose -87 - g = -a. Find the common denominator of (-4)/10 + 254/a and -39/4. 16 Let a = -107/49 + -1175/539. Let f = -2172299685/407 - -5337342. Let h = f - 36/37. What is the common denominator of h and a? 11 Let b = 10 + -4. Suppose -3*y - 297 = -3*n, 0 = 2*y - 4*n - 0 + 198. Let w = 107 + y. What is the least common multiple of b and w? 24 Let m = 138133/10266 + -1105/87. What is the common denominator of 137/140 and m? 8260 What is the least common multiple of (-1358)/(-6)*990/1155 and 30? 2910 Find the common denominator of -9 - (1500/(-48) + 3) and 103/492. 492 Let s(z) = -120*z - 114. Suppose -4 - 4 = -4*p. Suppose -10 = p*l, 5*u = -0*u - l + 20. Calculate the lowest common multiple of s(-1) and u. 30 Let l = -41597/206398 + -1/13316. What is the common denominator of ((-1)/(-4))/(2 - (-1348)/(-680)) and l? 372 Let x = -196239547/468 + 419315. Find the common denominator of x and 49/(-6) + (-2 - -2). 468 Let m = -293422/819 + 3226/9. Let f = -5213817/52 - -100266. What is the common denominator of m and f? 364 Let l = 559945276677857/275565 - 2031989827. Let c = -459938219/37293130 + l. Let q = c - 1/406. Calculate the common denominator of q and -81/10. 30 Suppose -40*m + 38*m + 656 = 0. What is the lowest common multiple of 42/189*(-5)/((-15)/108) and m? 328 Suppose -1548 = -22*y + 18*y - 4*x, -4*x = -3*y + 1140. Calculate the lowest common multiple of 240 and y. 1920 Suppose -s - 281 = -4*u, 0 = 3*u + 2*s - 35 - 173. Let z = u + 2. Calculate the lowest common multiple of 55 and z/(-20)*(-20)/12. 330 Let i(o) = -24*o - 291. Let w be i(-12). What
{ "pile_set_name": "DM Mathematics" }
n a prime number? False Suppose -n = 5 - 9. Suppose -2*k - 5*v + 893 = -2*v, 0 = 4*v - n. Is k a prime number? False Suppose 7*u - 10*u = 3861. Let v = -754 - u. Is v a prime number? False Let a(d) = -45952*d - 161. Is a(-1) prime? False Let m(s) = 1 - 8*s + 4*s + 7*s. Let t be (-2)/(-8) + 282/24. Is m(t) prime? True Suppose 0 = -4*x + 30 + 18. Let m = -10 + x. Suppose m*j - 97 = -5. Is j composite? True Let o be 0*7/21 + 12/(-2). Is 22*((-819)/o + -2)/1 a composite number? True Suppose -2*a + a - 3*s + 7568 = 0, 3*s = -5*a + 37852. Suppose 0 = -2*f + 4*j + 5026, 2*f - 5*f = 2*j - a. Is f composite? False Let x be (0 + (-3 - -2))*1 - -4. Suppose -195 = -x*s + 2*c, 3*s - 118 = c + 80. Is s prime? True Let w(y) = 993*y + 47. Is w(20) a prime number? False Let p = 11523 + -1696. Is p a prime number? False Let i be (-10)/15*9/(-6) + 2. Suppose d = i*t + 6*d - 6938, 4622 = 2*t + 4*d. Is t composite? True Let q(z) = 8*z**2 + 20*z - 49. Is q(12) prime? False Let b = -6 + 13. Let j be 2775/b - (-3)/(-7). Let y = -281 + j. Is y a composite number? True Let p be (-13)/39 + 10/3. Suppose -p*b = 3*a - 2145, b + 5*a - 1418 = -b. Is b a prime number? True Let i(y) = y + 1. Let v be i(1). Suppose -j + 3*t = v*t - 192, 5*t - 930 = -5*j. Suppose -5*c + j = 2*u, 4*c + 0*u = -u + 150. Is c composite? False Let y = 6912 - 2209. Is y a prime number? True Suppose -1720 = -6*y + 566. Suppose y = 3*i - v, -4*i - 3*v + 254 = -2*i. Is i composite? False Is (-8)/(-28) - (-603387)/21 a prime number? False Let x = 94 + -94. Suppose -4*t + x*c - 5*c = -1518, 5*c - 10 = 0. Is t a prime number? False Suppose -3*t = 5*t - 16. Is ((t - 3) + 2)*1345 a composite number? True Is ((-102)/30)/(1/(-1795)) composite? True Suppose 4*f - 24 = -2*f. Let l(j) = 116*j - 15. Is l(f) prime? True Let h be 2/(-5) - 19520/(-50). Suppose -4*k - k = -20, 3*v - 3*k + h = 0. Let p = v + 385. Is p composite? True Let h = 9608 + -23834. Let p be (-2)/3 + h/(-9). Suppose 3*w = 7*w - p. Is w a composite number? True Let d be (-2)/(-3)*(-9)/2*-49. Let k = d - -368. Is k a prime number? False Let q(v) = -v**3 - 6*v**2 - v - 1. Let g be q(-6). Suppose -g*b - 223 = -5*d + 232, -4*d - b = -354. Suppose -5*u + 4*u = -d. Is u a prime number? True Suppose -3*y + 698 = -238. Suppose 9*r + y = 5181. Is r a composite number? False Suppose 0 = 4*k - 7*a + 2*a - 65, -3*k = 2*a - 66. Suppose -k = -5*c, 3*z = -2*c - c + 804. Suppose 4*i = z + 208. Is i a prime number? False Suppose -410*d = -391*d - 605701. Is d a composite number? True Let f(r) = r**2 - 49. Suppose -i + 3*i = 0. Let a be f(i). Is -2*(-2)/(-4)*a a composite number? True Let i be (10/3)/((-18)/(-27)). Suppose i*u = -0*u - 5*w + 215, -4*u = -3*w - 158. Suppose 0 = 5*x - 74 - u. Is x prime? True Suppose 3 = 3*d + 4*o, -5*d + d + 5*o - 27 = 0. Is d/((-3)/2293)*1 a prime number? True Let k = 4799 + -2340. Is k prime? True Suppose -7*w - 626 = -1557. Let m = 168 + w. Is m prime? False Let c(h) = h**3 - h**2 + 2*h - 11. Let z be c(0). Let u be 1322/z + 8/44. Let g = -67 - u. Is g a prime number? True Suppose 2*q + 1986 = 5*q. Is q a prime number? False Let v(f) = 94*f - 99. Is v(28) prime? False Suppose -361 = -14*b - 5*b. Suppose 0 = -15*k + b*k - 9452. Is k a prime number? False Suppose -9*f - 650 = -4*f. Let g = f + 212. Is g prime? False Suppose 6 = 2*c, 2*j - c + 7 = -2. Is 2720/(0 + 4) - j composite? False Suppose o - 4*q = -0*q + 4361, -13138 = -3*o + q. Is o prime? False Suppose m - 6 = -m. Suppose -m*z = -4 - 5. Suppose -125 = -z*f + 112. Is f a composite number? False Suppose 7*v - 24 = 4. Suppose -2*y - 2535 = -v*d - 207, d - 591 = -4*y. Is d a prime number? False Let t = -21 + 20. Let q = t + 4. Let p(l) = 5*l - 1. Is p(q) composite? True Suppose 4*g = -3*i - 37, -3*g - 5*i = 2*g + 40. Let w = g - -15. Suppose -2*d = w*d + 2*f - 2218, -5*d = -3*f - 2756. Is d a prime number? False Let z(f) be the third derivative of 3*f**5/20 + 5*f**4/24 - f**3/2 - f**2. Suppose -2*n = 5*h - 33, -n - 5*h = -5*n + 21. Is z(n) a prime number? False Let h be ((-3)/(-9))/((-1)/(-9)). Suppose -93 + 510 = -h*o. Let l = -8 - o. Is l composite? False Let p(q) = q**3 + q**2 + 7*q - 1. Suppose -26*k = -25*k - 6. Is p(k) composite? False Let s be 11*-1 - (-28)/7. Let l(n) = 2*n**2 - 1 - 1 + 3*n**2 + 8*n. Is l(s) composite? True Suppose 3*z = -4*l, 2*z + 7 = -1. Let i = -5 + 7. Suppose i*o - 5*o = a - 346, 2*a + l*o = 677. Is a composite? False Suppose -3*g = -5*b - 7248, 14 = -b + 11. Is g composite? False Let u(p) = 13*p - 14. Let k be u(8). Suppose 23 = d - 5*w, 4*d = 5*w + 62 + k. Is (3 - -5)*d/4 a prime number? False Suppose 0 = 2*i - s - 121 - 39, 0 = 5*s + 10. Suppose -2*r = -3*r + i. Suppose k + r = 2*k. Is k composite? False Suppose 4*n - 40*s - 132 = -44*s, 5*s = n - 57. Is n a composite number? False Suppose -5*j - 200 = -1915. Suppose -j = -0*u + u. Let o = -84 - u. Is o a composite number? True Let a be (2 - -1335)/((-3)/6). Let o = -1613 - a. Is o composite? False Suppose 22*f = 7*f + 23145. Is f composite? False Suppose -14*o + 51313 = 13877. Let t = o + -1265. Is t prime? True Is (-20133)/6*76/(-6) composite? True Let a be ((-8)/(-4) + 0)*107. Let s be (-4)/(-1*8)*a. Let u = s - 54. Is u prime? True Let t(f) = 3*f**2 - 2*f + 15*f**2 - 5 - 4 + 5*f. Is t(4) prime? False Is (-6)/12*(-6558 - -10) prime? False Let c be 1546/((-3)/((-18)/(-4))). Is c/(-11) - 2/(-11) a composite number? False Let m = 15 + -8. Let i = m - 2. Suppose 2*n = -3*z + 321, 0 = -3*n - i*z - 39 + 521. Is n a composite number? True Let c(o) = o**2 + 7*o - 7. Let r be c(-8). Let i(k) be the first derivative of 109*k**4/4 + k**2/2 - k + 2. Is i(r) a prime number? True Let k(d) = d**2 + 2*d + 322. Let u be k(0). Let l = -99 + u. Is l a prime number? True Let a = -29 - -52. Let o = 27 - a. Suppose 0 = 4*j + h - 187, 68 = o*j - 5*h - 101. Is j a prime number? False Let f be (4/6)/(46/(-483)). Is f/((-7)/(-1213))*(0 - 1) a composite number? False Let v = 37680 + -6593. Is v a prime number? False Let q(p) = p**3 - p - 1. Let v(g) = -3*g**3 + 4*g**2 + 7*g. Let k(w) = -4*q(w) - v(w). Let j be k(-3). Is j/(-2) + 122/2 a prime number? True Let d be -3*1*(-6)/(-9). Suppose 0 = -y + 6*y - 2525. Is (-8)/10*y/d prime? False Let t(i) = -i**3 + 3*i**2 + 6*i - 5. Let p(w) = 2*w**3 - 9*w**2 - 18*w + 15. Let m(g) = -3*p(g) - 8*t(g). Let y be m(4). Let f = y - 108. Is f composite? True Suppose -3*g + k + 42434 = 0, -7*k - 56607 = -4*g - 0*k. Is g a composite number? False Let d(m) = 5*m**2 + 22*m - 18. Is d(-13) composite? False Let a(t) = t**3 + 5*t**2 - 2*t - 1. Let b be a(-5). Let f = -7 + b. Suppose 2*x - 20 = -3*z, 5*z = -f*x + 20 + 4. Is x composite? False Let m(w) be the third derivative of 7*w**7/720 + w**6/180 + w**5/12 - 7*w**2. Let r(q) be the third derivative of m(q). Is r(6) a composite number? True Let d = -96 + 98. Suppose -2243 = -d*n + 1619. Is n prime? True Let j = 72622 - 47045. Is j prime? True Is 2660 + ((-23)/9 - 4/9) a composite number? False Let c = 71 - 738. Let r = c + 181. Let a = -221 - r. Is a a prime number? False Let m = 57362 - 14571. Is m a prime number? False Let o(a) = a**2 + 16*a + 5. Let f(h) = -h**2 - 16*h - 6. Let k(s) = -6*f(s) - 5*o(s). Let p be k(-9). Let y = 114 + p. Is y composite? True Let a(c) = c**3 + 13*c**2 + 17. Let l(z) = -z**3 + 11*z**2 - 11*z + 14. Let r be l(10). Suppose -q - 47 = r*v, -3*v = 3*q + 24 + 9. Is a(v) a prime number? False Let x(m) be the third derivative of m**5/60 + m**4/24 + 211*m**3/6 - 10*m**2. Is x(0) composite? False Let s = 953 + -2053. Is (1 - s) + 12/(3 - -3) composite? False Let m(v) = -352*v + 10. Let p be m(-10). Suppose p = j - 1251. Is j a prime number? False Suppose 1 = 2*i + 2*m - 3*m, -2*i + 2 = -2*m. Let y(j) = -896*j**3 - 2*j - 3. Let x be y(-1). Suppose i = -z - 4*z + x. Is z prime? True Let s be 2/(-1) + 0*2/(-8). Is 1486*(-3)/6*(-3 - s) a prime number? True Let q = -7 + 7. Is (q + 1)/(2 - 69/35) composite? True Suppose -3*c - 412 = a, 129 = -4*c + 3*c - 2*a. Let k = 434 + c. Is k a prime number? False Let k(s) = -4*s**2 - 8*s - 11. Let v(b) = 5*b**2 + 7*b + 11. Let g(q) = -4*k(q) - 3*v(q). Let i be g(-10). Is (2 - 111/i)*-1 composite? False Let b(i) = -i**3 + 16*i**2 - 17*i + 19. Let k = -3 + 14. Is b(k) prime? False
{ "pile_set_name": "DM Mathematics" }
prob of sequence sfzj when four letters picked without replacement from psjjzlf. 1/420 Four letters picked without replacement from lclccyyyqzlll. What is prob of sequence zycc? 3/2860 Three letters picked without replacement from zum. Give prob of sequence muz. 1/6 Calculate prob of sequence ca when two letters picked without replacement from {c: 6, a: 12}. 4/17 Two letters picked without replacement from rwwwwwwwwwwwwwwwrrww. What is prob of sequence rw? 51/380 Four letters picked without replacement from {h: 4, r: 1, n: 2, l: 1, w: 8}. Give prob of sequence wnlr. 1/2730 Four letters picked without replacement from {f: 2, j: 3}. What is prob of sequence fjjf? 1/10 Three letters picked without replacement from {e: 10, d: 4}. What is prob of sequence eee? 30/91 Four letters picked without replacement from {s: 1, p: 3, j: 1, h: 1, w: 6, g: 6}. Give prob of sequence gpsw. 1/680 Four letters picked without replacement from xxxxxaxaxxxxxaxxaxax. Give prob of sequence xaax. 35/969 Four letters picked without replacement from zjmjjnl. Give prob of sequence zjlz. 0 What is prob of sequence fpi when three letters picked without replacement from {i: 2, s: 1, y: 2, f: 1, o: 1, p: 2}? 1/126 Calculate prob of sequence esss when four letters picked without replacement from {s: 3, e: 1}. 1/4 Calculate prob of sequence nkq when three letters picked without replacement from qkqoqqnqokok. 1/88 What is prob of sequence wtuv when four letters picked without replacement from wuvyyut? 1/420 Calculate prob of sequence goog when four letters picked without replacement from {g: 2, o: 9}. 1/55 Four letters picked without replacement from lablalwlllbwa. Give prob of sequence aalb. 3/715 Two letters picked without replacement from {w: 3, b: 3, r: 3, a: 5, n: 2, u: 3}. Give prob of sequence rr. 1/57 Three letters picked without replacement from ggbbggggbbgbgbggbgg. What is prob of sequence bgb? 28/323 Calculate prob of sequence nt when two letters picked without replacement from ncrrcrrrrrtrrrrcc. 1/272 Calculate prob of sequence uxux when four letters picked without replacement from uuuuxxuuxxuxuxxu. 9/130 Calculate prob of sequence oog when three letters picked without replacement from uigoy. 0 Four letters picked without replacement from {x: 5, q: 2, a: 1, d: 7, v: 4, y: 1}. What is prob of sequence xqqa? 1/11628 Four letters picked without replacement from {s: 6, p: 8, z: 1, l: 3}. Give prob of sequence spsz. 1/306 Two letters picked without replacement from hmhmmhmvvhvh. What is prob of sequence mm? 1/11 Four letters picked without replacement from uugpgggburrbpgrpg. What is prob of sequence brpp? 3/4760 Three letters picked without replacement from {b: 1, a: 11, o: 2}. Give prob of sequence oaa. 55/546 Three letters picked without replacement from opopopo. What is prob of sequence pop? 4/35 Two letters picked without replacement from wwsssascwssaswwww. What is prob of sequence ss? 21/136 Calculate prob of sequence aco when three letters picked without replacement from {c: 1, o: 1, a: 2}. 1/12 Calculate prob of sequence tnn when three letters picked without replacement from idltnnq. 1/105 What is prob of sequence sbwo when four letters picked without replacement from sssosbywsboo? 1/396 Calculate prob of sequence pcr when three letters picked without replacement from {c: 1, p: 1, r: 16}. 1/306 What is prob of sequence peh when three letters picked without replacement from eeeleeheleeeehelekp? 4/969 What is prob of sequence eoo when three letters picked without replacement from {o: 10, e: 4}? 15/91 Four letters picked without replacement from {t: 3, u: 4, k: 6, i: 2}. Give prob of sequence kitu. 2/455 Calculate prob of sequence mcb when three letters picked without replacement from {m: 5, c: 3, b: 1}. 5/168 What is prob of sequence ha when two letters picked without replacement from {f: 4, h: 2, w: 2, a: 1}? 1/36 Three letters picked without replacement from {o: 1, v: 3, h: 4, c: 2, w: 1}. What is prob of sequence hoh? 2/165 Two letters picked without replacement from {l: 1, o: 1, d: 4, z: 4, t: 1, u: 1}. Give prob of sequence ut. 1/132 Calculate prob of sequence hm when two letters picked without replacement from yncffnccnmhc. 1/132 What is prob of sequence ff when two letters picked without replacement from fuufffuuff? 1/3 What is prob of sequence lx when two letters picked without replacement from {n: 1, l: 3, x: 1, p: 5, i: 1, m: 1}? 1/44 What is prob of sequence iin when three letters picked without replacement from {p: 2, i: 8, n: 9}? 28/323 Calculate prob of sequence le when two letters picked without replacement from leeel. 3/10 What is prob of sequence ntnn when four letters picked without replacement from tnnnttnntnnt? 35/396 Four letters picked without replacement from {u: 3, h: 2, p: 1, k: 2, q: 3, w: 3}. Give prob of sequence pkwk. 1/4004 Three letters picked without replacement from wcwcowwwocsw. What is prob of sequence wcw? 3/44 Four letters picked without replacement from {k: 2, r: 7, p: 2, a: 1, i: 6}. What is prob of sequence aaia? 0 Four letters picked without replacement from {s: 5, a: 2}. Give prob of sequence sssa. 1/7 Calculate prob of sequence mjli when four letters picked without replacement from mfimfffoiomlmfjmf. 1/5712 What is prob of sequence gu when two letters picked without replacement from {u: 1, g: 1, s: 1}? 1/6 What is prob of sequence fbbb when four letters picked without replacement from {b: 3, f: 12}? 1/455 Calculate prob of sequence nccn when four letters picked without replacement from {c: 4, n: 7}. 7/110 Calculate prob of sequence no when two letters picked without replacement from {n: 5, o: 2, p: 5}. 5/66 What is prob of sequence gy when two letters picked without replacement from wggkkwbgwgmgy? 5/156 What is prob of sequence fzrf when four letters picked without replacement from {f: 6, e: 2, r: 4, z: 1, b: 2}? 1/273 Three letters picked without replacement from hshbnmf. What is prob of sequence nmf? 1/210 Three letters picked without replacement from rlwllwlwwwlww. Give prob of sequence lrw. 35/1716 Calculate prob of sequence bb when two letters picked without replacement from biibibbiibiiiibbiibb. 18/95 Three letters picked without replacement from fffllflxfxfffffff. What is prob of sequence xxl? 1/680 Calculate prob of sequence nhi when three letters picked without replacement from {h: 1, p: 1, m: 1, n: 1, i: 1}. 1/60 Calculate prob of sequence zz when two letters picked without replacement from {l: 2, o: 1, z: 2, n: 2, g: 1}. 1/28 What is prob of sequence oco when three letters picked without replacement from {b: 7, o: 5, c: 7}? 70/2907 Two letters picked without replacement from {v: 1, z: 1, t: 1, y: 1, l: 1}. What is prob of sequence tv? 1/20 What is prob of sequence zq when two letters picked without replacement from {q: 2, p: 11, e: 1, z: 1, r: 1}? 1/120 What is prob of sequence nvr when three letters picked without replacement from vbmrn? 1/60 Four letters picked without replacement from bbbbqhhbbqhqh. What is prob of sequence hqbh? 9/715 Three letters picked without replacement from cxccjcccccccxjcccjcc. What is prob of sequence jcj? 1/76 What is prob of sequence xzxx when four letters picked without replacement from {z: 5, x: 9}? 15/143 Four letters picked without replacement from {g: 4, d: 2}. What is prob of sequence ddgg? 1/15 Calculate prob of sequence att when three letters picked without replacement from {t: 5, a: 5}. 5/36 What is prob of sequence zq when two letters picked without replacement from {v: 2, u: 2, i: 3, z: 8, n: 1, q: 1}? 1/34 What is prob of sequence noo when three letters picked without replacement from onononn? 4/35 Four letters picked without replacement from {b: 5, h: 6, s: 2}. What is prob of sequence sbhs? 1/286 Four letters picked without replacement from {i: 9, s: 3, g: 4}. What is prob of sequence sggi? 27/3640 Calculate prob of sequence rq when two letters picked without replacement from odqordssqnrqssn. 1/35 Two letters picked without replacement from {m: 3, y: 4}. Give prob of sequence ym. 2/7 Three letters picked without replacement from {u: 3, w: 2, b: 5, f: 3}. Give prob of sequence fbw. 5/286 Four letters picked without replacement from vccmcmcmcccvccmm. What is prob of s
{ "pile_set_name": "DM Mathematics" }
ive o*r(d) + 2*l(d). -5*d Let b(f) = -1. Let m(z) be the second derivative of -z**4/6 + 5*z**2/2 - 6*z. Calculate -4*b(t) - m(t). 2*t**2 - 1 Let q = -5 + 4. Let z = 2 - q. Let r(v) = 4*v**3 - v**2 + 3. Let n(k) = -7*k**3 + 2*k**2 - 5. Determine z*n(u) + 5*r(u). -u**3 + u**2 Let k(m) = -3*m**3 + 3*m + 1. Let p(o) = 1 + 4*o - 19*o**3 - 2*o + 16*o**3. Give -2*k(x) + 3*p(x). -3*x**3 + 1 Let y(m) = 5*m**3 + m**2 + m + 1. Let x be y(-1). Let k(l) = -2*l - 5. Let d(c) = 3*c + 6. Let s be 6/(1 + (-6)/2). Give s*d(h) + x*k(h). -h + 2 Let r(o) = 2*o**3 - 5*o. Let k(h) = 5*h**3 - 14*h. Determine 4*k(p) - 11*r(p). -2*p**3 - p Let l(p) = -p**2 - p - 1. Let d(z) = -3*z**2. What is -d(g) + 2*l(g)? g**2 - 2*g - 2 Let g(u) = -10*u**3 - 11*u**2 + 7*u + 7. Let h(y) = -5*y**3 - 6*y**2 + 4*y + 4. Determine 4*g(a) - 7*h(a). -5*a**3 - 2*a**2 Let b(d) = -10*d**3 + 12*d**2 + 12*d. Let v(o) = o**3 + o**2 + o. What is b(a) - 12*v(a)? -22*a**3 Let o(u) = -5*u - 17. Let x(s) = -3*s - 11. Suppose 2*j = 5*j + 24. Determine j*x(k) + 5*o(k). -k + 3 Let p = -7 + 0. Let s = 12 + p. Let v(h) = -4 - h + s + 0. Let u(j) = -j**3 + j. Calculate 2*u(x) + 2*v(x). -2*x**3 + 2 Let v(z) = 8*z - 4. Let f(s) = -7*s + 4. Let a(h) = 5*f(h) + 4*v(h). Suppose n + 4*d - 23 = 0, 5*d - 31 = -5*n + 9. Let l(o) = 2*o - 3. Give n*a(b) + 4*l(b). -b Let j(z) = -9*z**2 - 4*z + 5. Let y(q) = 5*q**2 + 2*q - 2. Calculate 6*j(c) + 14*y(c). 16*c**2 + 4*c + 2 Let d(p) = -24 + 3*p + 24. Let w(f) = 4*f**3 - f**2 + f - 1. Let b be w(1). Let o(a) = 3*a - b*a + a. What is 6*d(l) - 17*o(l)? l Let o(a) = a - 7. Let k(s) = 2*s - 15. Suppose -3*w + 62 = 5*v, -5*v + 4*w = 20 - 89. Give v*o(x) - 6*k(x). x - 1 Let v(b) = -5*b**3 + 6*b**2 + 4. Let g(k) = -k**3 + k**2 + 1. Suppose 0 = -5*j + 4*p + 3, -j + 0*j = -5*p - 9. What is j*v(r) + 4*g(r)? r**3 - 2*r**2 Let l(a) = -a. Let c(u) = 20*u**2 - 12*u. What is -c(s) + 12*l(s)? -20*s**2 Let k = 2 + -2. Suppose d + 15 = -k. Let y = d + 10. Let h(q) = -4*q**3 - 5*q**2. Let o(l) = 2*l**3 + 2*l**2. Determine y*o(c) - 2*h(c). -2*c**3 Let k(l) = -22*l - 5. Let n(b) = 527*b + 119. Determine -119*k(o) - 5*n(o). -17*o Let o(j) be the third derivative of -j**5/15 - 5*j**4/24 + 2*j**2. Let f = 7 + -5. Let w(k) = 7 - f*k**2 - 2*k - 7. What is -2*o(n) + 5*w(n)? -2*n**2 Let m(y) = -2*y - 1. Let l(s) = -11*s - 4. Give -l(v) + 6*m(v). -v - 2 Let y be (3 + (-4)/1)/(-1). Let i(t) = t**3 - 2 - 5*t + 4*t + y. Let v be 2 + 2/4*0. Let c(o) = 2*o**3 - 2*o - 2. Determine v*c(x) - 5*i(x). -x**3 + x + 1 Let t(s) = -10*s + 16. Let p(r) = -r + 1. Give -22*p(o) + 2*t(o). 2*o + 10 Let i(j) = -2*j**3 + 88*j**2 - 10*j + 10. Let c(x) = -x**2 + x - 1. Determine -10*c(l) - i(l). 2*l**3 - 78*l**2 Let a(h) = h + 1. Let k be (0 - 0)/(-11 - -7). Let m(l) = -2*l + k + 5 - 6. What is -4*a(x) - 3*m(x)? 2*x - 1 Let g(o) = 10*o - 4. Let j(f) = -20*f + 9. Determine -5*g(r) - 2*j(r). -10*r + 2 Let z(p) be the second derivative of p**3/6 + p**2/2 + p. Let y be (3/(-5))/(1/(-10)). Let o(j) = -4*j - 6. Give y*z(f) + o(f). 2*f Let n(l) = 1. Let i(a) = a**2 + a + 4. Suppose 0 = -113*o + 109*o - 16. Give o*n(z) + i(z). z**2 + z Let m(j) = -28*j - 17. Let p(f) = 7*f + 4. Determine -6*m(r) - 26*p(r). -14*r - 2 Let z(m) = -5*m**3 - 4*m**2 + 7*m + 3. Let t(l) = -4*l**3 - 3*l**2 + 6*l + 2. Determine 3*t(v) - 2*z(v). -2*v**3 - v**2 + 4*v Let u(p) = 6*p**3 - 16*p - 118. Let d(i) = -2*i**3 + 5*i + 39. Give -16*d(c) - 5*u(c). 2*c**3 - 34 Let d(m) = -3*m. Let x(r) = -28*r. Give 24*d(f) - 3*x(f). 12*f Suppose 9*p + p + 80 = 0. Let v(m) = 11*m**3 - 3*m**2 - 8. Let l(k) = -3*k**3 + 11*k**3 - k**3 - 2*k**2 - 5. What is p*l(y) + 5*v(y)? -y**3 + y**2 Let o(v) = 7*v**2 + 3*v + 5. Let k(a) = -8*a**2 - 4*a - 6. Suppose -3*y - 2*y + 14 = -4*u, 5*y - 8 = 3*u. Calculate u*o(q) - 5*k(q). -2*q**2 + 2*q Let s(c) = -c - 3. Let z(x) be the second derivative of x**2/2 - 2*x. Calculate -2*s(a) - 7*z(a). 2*a - 1 Let l(p) = 4*p + 1. Let g(h) = 7*h + 1. Let j(d) = -4*d**2 + 1. Let q be j(1). Give q*g(t) + 5*l(t). -t + 2 Suppose -6*f = -3*f - 12, -4*w = -4*f + 16. Let i(t) = -4*t - 4 + 5 + w + 5*t. Let g(q) = 6*q + 5. Determine 2*g(k) - 11*i(k). k - 1 Let f(k) = -k**2 - k. Suppose -3*i - 2 = 1, 0 = 5*a + 2*i - 28. Let x(l) = 8*l**2 + 8*l - 2. Give a*f(t) + x(t). 2*t**2 + 2*t - 2 Let j(h) = -h**2 - h + 1. Let f(n) = -8*n**2 - 4*n + 4. Let c = 43 - 44. Give c*f(p) + 4*j(p). 4*p**2 Let g(q) = -1 - 2 + 2 + 3*q + 0. Let i be g(4). Let b(o) be the second derivative of -o**3/6 + 5*o**2/2 + o. Let u(j) = 1. What is i*u(t) - 2*b(t)? 2*t + 1 Let u(b) = 2*b**3 + 3*b**2 + 3*b + 1. Let q(i) = 4*i**3 + 5*i**2 + 5*i + 2. Let n(j) = -5*j + 0 + 4*j + j**2 + 1. Let c be n(2). Determine c*q(x) - 5*u(x). 2*x**3 + 1 Let u(d) = 7*d**2 - 3*d + 15. Let k(f) = -13*f**2 + 5*f - 31. Let m(y) = -6*k(y) - 13*u(y). Let z(v) = 3*v**2 - 2*v + 2. Calculate 2*m(a) + 9*z(a). a**2 Let n(f) = 26*f**3 - 16*f + 12. Let q(h) = -9*h**3 + 5*h - 4. Let s(g) = 3*n(g) + 8*q(g). Let p(c) = -c**3 + c - 1. Calculate 4*p(b) + s(b). 2*b**3 - 4*b Let a(x) be the second derivative of -x**3/6 + x**2/2 + 40*x. Let q(y) = 6*y**2 + 9*y - 9. What is -9*a(z) - q(z)? -6*z**2 Let h(i) = -7*i**3 - 11*i**2 + 5*i - 7. Let b(r) = -4*r**3 - 6*r**2 + 3*r - 4. Determine 5*b(k) - 3*h(k). k**3 + 3*k**2 + 1 Let o(q) = -4*q**2 + 6*q + 4. Let s(a) = -3*a**2 + 5*a + 3. Let d(n) = 5*n**3 + n**2 - 2*n - 2. Let h be d(-1). Calculate h*o(g) + 5*s(g). g**2 + g - 1 Let q(n) = -n**3 + 3*n**2 + 3*n - 4. Let o be q(3). Let l be (1 + 1)*o/10. Let m(x) = -x**3 + x**2 - 1. Let k(v) = -2*v**3 + v - 1. Determine l*k(u) - m(u). -u**3 - u**2 + u Let x(i) = -2*i**2 + 2*i - 6. Let v(d) = 4*d**2 - 3*d + 13. Give 4*v(y) + 9*x(y). -2*y**2 + 6*y - 2 Let n(t) = 4*t**2 - 17*t - 18*t + 35*t + 3. Let l = 4 + -2. Let m(f) = 4*f**2 - 4*f**2 - l*f**2 - 1. Give 5*m(q) + 2*n(q). -2*q**2 + 1 Let x(a) = 8*a - 86. Let y(p) = 3*p - 29. Give -5*x(k) + 14*y(k). 2*k + 24 Let z(g) be the third derivative of -7*g**5/60 - g**2. Let a(k) = 8*k**2. Determine -4*a(p) - 5*z(p). 3*p**2 Let p = -68 + 75. Let w(b) = -b + 6. Let q(m) = -m + 7. Determine p*w(s) - 6*q(s). -s Let q(n) = -n - 6. Let f(m) = -m - 7. What is -5*f(u) + 6*q(u)? -u - 1 Let i(f) = 7*f**3 - 5*f**2 + 50*f - 5. Let x(u) = 3*u**3 - 2*u**2 + 25*u - 2. Calculate 2*i(o) - 5*x(o). -o**3 - 25*o Let x(l) = -6*l**2 + 4*l + 6. Let a(z) be the second derivative of -7*z**4/12 + 5*z**3/6 + 7*z**2/2 + 2*z. Determine 4*a(h) - 5*x(h). 2*h**2 - 2 Let q(b) = 1. Let h(s) = -s**2 - 5*s + 7. Calculate 2*h(y) - 14*q(y). -2*y**2 - 10*y Let y(r) = 1. Let x(j) be the second derivative of -j**3/6 - 3*j**2/2 - j. Let d = 289 + -290. Give d*x(c) - 4*y(c). c - 1 Let g(o) = -2*o. Let l(c) be the first derivative of -c**2/2 - c - 22. Calculate 2*g(m) - 2*l(m). -2*m + 2 Let z be 1*0*(-1)/4. Suppose z = 3*t - t + 2. Let k(u) = 5*u**2 - 3*u - 2. Let q(o) = o**2 - o - 1. Give t*k(r) + 2*q(r). -3*r**2 + r Let h be -2 + (-4)/6*-81. Let y(d) = -52 + h - d. Let m(x) = -x**2 + 4*x. What is -m(i) - 4*y(i)? i**2 Let z = -28 - -38. Let b(p) = p. Let v(d) = d**2 - 5*d + 6. Let f be v(4). Let g(u) = u**2 - 4*u - 1. Give f*g(a) + z*b(a). 2*a**2 + 2*a - 2 Let u(t) = -2*t**3 - 6*t**2 - 2. Let c(q) = 2*q**3 + 6*q**2 + 2. What is 5*c(i) + 4*u(i)? 2*i**3 + 6*i**2 + 2 Suppose -2*s + 0 = -4. Let v(y) = -y**3 + y. Let g be v(s). Let o(t) = 4*t**3 - 2*t**2 + 6*t. Let x(n) = -n**3 - n. Calculate g*x(l) - o(l). 2*l**3 + 2*l**2 Let v(w) = 9*w**2 - 3*w + 13. Let b(h) = 5*h**2 - 2*h + 7. What is 5*b(z) - 3*v(z)? -2*z**2 - z - 4 Let r(y) = y. Let x(b) = -9*b - 1. What is -3*r(u) - x(u)? 6*u + 1 Let p(h) = -19*h + 17. Let w(s) = 9*s - 8. Suppose 5*n + 12 = 7*n. Determine n*p(o) + 13*w(o). 3*o - 2 Let b(a) = a - 2. Let g(y) = y. Let l be g(4). Suppose -z = -4*d + 1, -z + 13 = -d + l*d. Let k(u) = -3*u + 4. Suppose -2*m + 3*m = 3. What is m*k(c) + z*b(c)? -2*c - 2 Let y(i) = 5*i**2 - i - 5. Let z(q) = -13*q**2 + 5*q + 13. Let x(u) = 32*u**2 - 12*u - 32. Let p(g) = 5*x(g) + 12*z(g). Give -4*p(m) + 3*y(m). -m**2 - 3*m + 1 Let j(w) = 4*w - 2. Let x(b) = 7*b - 4. Determine 5*j(d) - 3*x(d). -d + 2 Let a(t) = t**2 - 1. Let x be (-6)/4 + 22/4. Let h be x/10 - (-7)/(-5). Let q(s) = -6*s**2 + 2*s + 6. Calculate h*q(w) - 5*a(w). w**2 - 2*w - 1 Let l(h) = -8*h + 7. Let w(a) =
{ "pile_set_name": "DM Mathematics" }
-4*j + 9*l - 4 = 7*l, -4*j - 8 = -l for j. -3 Solve d = -3*v + 9, 0 = 5*d - 2*d - 5*v + 15 for d. 0 Solve -12*s - 2 = 2*y - 13*s, 2*y - 4*s = -14 for y. 1 Solve 5*k + 15 = 11*y - 15*y, -3*k = 5*y + 22 for y. -5 Solve -k - 5*p + 29 = 0, k - 4*p - 2 = -18 for k. 4 Solve 2*v = w + 13 - 3, -3*v + 3*w + 18 = 0 for v. 4 Solve 3*z + 25 = 5*k, z + 3*k = 6*k - 11 for z. -5 Solve 5*w = 9*w - 3*r + 12, -3*w = 5*r - 20 for w. 0 Solve 2*f - 3*p = 7, 2*p + 5 = p for f. -4 Solve 1 = 3*t + 2*c - 4*c, -4*c = -3*t - 7 for t. 3 Solve 4*t - 4*q = -16, -13*t + 11*t - 4*q = -4 for t. -2 Solve 2*h = 4*f, 4*f = 2*h + 5*f + 5 for h. -2 Solve -5*u + 10 = 5*a - 0*u, -4*a + 14 = -2*u for a. 3 Solve 0 = 4*g - 5*y - 27, 8*g - 3*y = 6*g + 15 for g. 3 Solve 4*k - 8 = 3*v, -5*k - 14*v + 45 = -9*v for k. 5 Solve 30*y - 25*y + 15 = 5*k, -2*k = 4*y + 18 for k. -1 Solve -2*q + 19 = 5*d, -1 = q - d - 0*d for q. 2 Solve 0*o - 2*s = o + 13, 7 = -4*o + s for o. -3 Solve -3*c + 4*k = 7*k + 3, -c + 5*k + 11 = 0 for c. 1 Solve 0 = j + 2*y - y + 6, 3*j = 4*y - 11 for j. -5 Solve 4*j = -4*i - 16, -8 = -j - 0*i + 3*i for j. -1 Solve -4*j - 3*q + 14 = 0, -4 = -5*j - 5*q + 11 for j. 5 Solve -12 = 3*w - 3*i, -50*i + 49*i + 3 = 0 for w. -1 Solve 5*i + 3*n = 56 - 16, 2*n = 10 for i. 5 Solve -4*r + 2*x - 24 = -0*r, r = 3*x - 16 for r. -4 Solve x = 5*c - 2, -4 = -2*c + x + x for c. 0 Solve -4*p = 2*l + 30, -1138*l + 1136*l = -p - 5 for p. -7 Solve l = n - 5, 4*n = 3*l - 2 + 20 for n. 3 Solve 5*l - p + 32 - 2 = 0, 5*p = 4*l + 45 for l. -5 Solve 2*k - 2*p - 4 = 0, -k - 5*p + 7 = -13 for k. 5 Solve -4*k = 5*h + 2 + 28, 18 = -4*h - 2*k for h. -2 Solve 3*q + 3 = 3*d, 2*d - 6*q + 18 = -9*q for d. -3 Solve 0 = 5*x - w + 20, 18*x + 32*w - 33*w + 72 = 0 for x. -4 Solve 3*o - 3*p = -9, -16*o - 14 = -13*o - 4*p for o. 2 Solve 2*r - 12 - 4 = 4*h, 3 = -h for r. 2 Solve 3*l - 19 = 3*j - 4, l - 1 = -3*j for j. -1 Solve 0 = b + d + 1, 1107*b - 1112*b + 7 = d for b. 2 Solve 2*z = -o, -11*z + 7*z - 2 = 3*o for z. 1 Solve 0 = -8*n + 5*n + 5*g + 9, -1 = -n + g for n. -2 Solve 3*u - 12 = -4*z + 5, 1 = -z + u for z. 2 Solve 0 = -3*o + g - 11, 2*g - 3 = -5 for o. -4 Solve -3*c - 5*o + 3*o + 5 = 0, c - 2*o = -9 for c. -1 Solve 2*u + 4*p = 7*p + 15, 5*u + 5 = -p for u. 0 Solve -b - 9 + 0 = -3*i, 0 = 4*i - 12 for b. 0 Solve 0 = -2*k - 5*h + 13, 4*h = -5*k + 7 + 17 for k. 4 Solve 0 = 2*z - 3*u - 4, 0*z + 2*z = -5*u + 4 for z. 2 Solve -2*n + k + 4 = -k, 4*k - 28 = -5*n for n. 4 Solve s + 3*k = -7 + 15, -4*k + 7 = 5*s for s. -1 Solve -5*j - 12 = 3*o - 2*j, 0 = 3*o + 4*j + 17 for o. 1 Solve -t + 2*r = -9, -4*t + t - 5*r - 6 = 0 for t. 3 Solve 5*u - v - 22 = 0, 3*u + 1 = 3*v + 7 for u. 5 Solve 5*s - 6 = s - 2*x, 21 = 2*s - 5*x for s. 3 Solve 2*t = 4*b + 20, 4*b = -2*t - 5 - 7 for t. 2 Solve -4*c + 4*s = 46 - 14, 5*s = -5*c - 10 for c. -5 Solve -k + 27 = k - 5*o, 21 = 5*k + 3*o for k. 6 Solve -11 = -b + 4*i, 3*b + 5*i = 2*i - 12 for b. -1 Solve 16 = 8*x - 4*x - 4*r, 0 = -4*x + r + 1 for x. -1 Solve 17 - 8 = 4*h + 3*d, -3*h + 3*d - 9 = 0 for h. 0 Solve -9 = 3*z, -37 = 2*t + 3*t + 4*z for t. -5 Solve 5*k - 29*j = -33*j + 33, k - 5*j = -5 for k. 5 Solve -8*p - 11 = 3*k - 4*p, -2*p = k + 7 for k. 3 Solve -4*n - 2*m = 12, 0*m + 15 = -5*n + 3*m for n. -3 Solve -2*o = -95*n + 98*n - 15, 0 = -4*o - 5*n + 27 for o. 3 Solve -7*l + 3*l + 17 = -z, -z = -l + 5 for l. 4 Solve -3*x - 1 = 4*r + 17, 5*r - 5*x + 5 = 0 for r. -3 Solve h + 17 = -4*t + 36, 2*t = 5*h + 15 for t. 5 Solve 0 = t - 2*h + 8, 4*h - 2*h - 6 = 0 for t. -2 Solve 5*i - 2*j = 3 - 4, -3*i - 2*j = 7 for i. -1 Solve -17*m + 18*m - 3 = -2*g, 5*g + 2*m - 10 = 0 for g. 4 Solve 0 = 5*f, -r + 2*f + 4 = 3*f for r. 4 Solve 0 = -2*c + 2*b + 10, -3*c + 2*b + 0 + 13 = 0 for c. 3 Solve -4*i = h - 6 + 24, 4*i = -4*h - 48 for i. -2 Solve 3*b + 4*m - 20 = 5*b, -10 = -2*b - 2*m for b. 0 Solve -f - d - 1 + 5 = 0, 5*f - d - 20 = 0 for f. 4 Solve 4*k = 3*g + 18, -9*k - 5*g = -4*k - 5 for k. 3 Solve -l - 3*l + 3*c = 35, 10 = 2*c for l. -5 Solve 24*f - 21*f = -k + 20, 5*k = 2*f - 19 for k. -1 Solve -2*m = 2*u - 0*u + 4, m - 8 = u for m. 3 Solve 3*z = -6*k + 45, 0 = 4*z + 2*k - 27 - 3 for z. 5 Solve 2*b + 4*t = 3*t + 11, b - 3 = 2*t for b. 5 Solve -5*d = 0, -5*m + 5*d - 10 = -3*m for m. -5 Solve 0 = -5*i + 2*y - 1, -y = -i + 7 - 6 for i. -1 Solve 0 = -n - 3*u - 12, -n - 3*u + 3 = -5*u for n. -3 Solve 3*l + 10 = 4*y + 11, 5*y + 3*l + 35 = 0 for y. -4 Solve -5*t - 20 = p, -4*p + t - 29 = 4*t for p. -5 Solve 2*v = 5*v, 2*v - 25 = 5*s for s. -5 Solve 2*o + 4 = -3*u, -3*o - u - 4 = 2 for o. -2 Solve -4*a - 4*n = -16, 4*a = -17*n + 18*n + 31 for a. 7 Solve -4*q = 3*n + 13, -3*q - 5*n + 63 = 81 for q. -1 Solve -2*w = -5*w + 4*p, -5*w - 2*p = 0 for w. 0 Solve 106*f - 12 = 111*f - 4*c, 0 = 3*f - 4*c + 12 for f. 0 Solve 0 = 5*t + 2*x - 1, -6*t = -3*t + 5*x - 12 for t. -1 Solve 4*g - 3*z = -21, -6*g + 5*g = -2*z + 9 for g. -3 Solve -3*a + 1 = -2*b, 14*a - 9*a = 3*b for a. -3 Solve 2*j + 3*s = -4, 5*j = s - 3*s + 1 for j. 1 Solve 5*v + 2*y - 4 = 0, 9 = -3*v - y - 4*y for v. 2 Solve 8 = 4*z, 27*z = -g + 26*z - 2 for g. -4 Solve 3*t - 6*t - 10 = i, -4*t + 3*i = 9 for t. -3 Solve 2*k + 3*b - 7 = 0, -3*k + 0*k + 4*b + 2 = 0 for k. 2 Solve g - 5*f = -2*g - 3, -g - 1 = f for g. -1 Solve -s = 5*r + 3, -17*r + 15*r = 3*s - 4 for r. -1 Solve 4*h - 2 = 2*d, 93*d = 90*d - 3*h + 15 for d. 3 Solve 15 = 4*z - 3*u, 2*u - 13 = -z - 4*z for z. 3 Solve 7*x - 2 = 2*x + 2*n, -2*x = 5*n + 5 for x. 0 Solve 0 = -5*d - 2*m - 10, -d + 3*d + m = -5 for d. 0 Solve -3*c - 61 + 57 = -2*n, n = -4*c - 9 for c. -2 Solve 2*y = -2*k + 4, 3*y - 5*k + 4 = 10 for y. 2 Solve 7*g - 114 = 4*l - 60, 3*g = 30 for l. 4 Solve 2*v - 4 = -4*k, 2*v + 3*k = -2*v - 2 for v. -2 Solve 0 = 2*c - 4*a + 8, 21 = -3*c - c + 3*a for c. -6 Solve 2*a = -5*v - 20, -10*v - 17 = 5*a - 14*v for a. -5 Solve 4*v + 301 = -2*z + 307, 4*v = -4*z - 4 for v. 4 Solve 0*a - 5*j = -2*a - 31, -2 = 4*a + 2*j for a. -3 Solve g - 20 = 4*o, -5*o + 3*o - 10 = 4*g for g. 0 Solve -4*l = -5*m + 10, 34*l = 37*l + 5*m - 10 for l. 0 Solve 9 = q - 4*q + 2*c, -3*q - 27 = 4*c for q. -5 Solve s = -3*s + 8, -8 = -4*i + 4*s for i. 4 Solve -5*q = 5*c - 30, 1 + 7 = 2*c - 2*q for c. 5 Solve 0 = 5*q - 5*m + 25, -m - 10 = -2*q - 4*m for q. -1 Solve -23*k + 25*k = 0, 2*i - k - 10 = 0 for i. 5 Solve 3*a + 2 = p + 8, a + 14 = -5*p for a. 1 Solve 10*w - 12*w = 5*k - 14, 3*k = 12 for w. -3 Solve 3 = -5*d - 3*a, 410*d + 5 = 405*d - 5*a for d. 0 Solve -2*w - 6 = 0, 3*d - 6 = -2*w + 4*w for d. 0 Solve -3*v + 5*t = -19, -5*v - 7*t - 30 = -3*t for v. -2 Solve 0 = -5*n + 4*r - 11, 4*n + r = -2*r + 16 for n. 1 Solve k - 25*a + 27*a = -1, 7 = -2*k + a for k. -3 Solve -3*z = 5*j - j - 4, -2*j - 3*z - 4 = 0 for j. 4 Solve 4*j - 13 = j + 5*n, 2*n + 8 = 4*j for j. 1 Solve -f + 2*a - 3 = 0, 84 = -2*a + 90 for f. 3 Solve 3*q - 2 = y, 0 = -2*y - 13*q + 14*q + 11 for y. 7 Solve -2*r + 12 = -2*b, 0 = 4*b + r - 32 + 41 for b. -3 Solve 3*l - 14 = -2*z, -55*z + 4*l + 8 = -51*z for z. 4 Solve r = 4*x + 7, -r - 5*x - 9 - 2 = 0 for r. -1 Solve z + 5*b - 1 = 0, -4*b + 4 = 4*z - 3*b for z. 1 Solve -5*s + 15 = 0, -5*z + 9*s + 17 = 8*s for z. 4 Solve 11*n = 8*n + 3*y - 24, -n + 3*y = 20 for n. -2 Solve p = 2*l - 12, -12*p - 3*l = -14*p - 19 for p. -2 Solve 4*b - 12 + 5 = -5*f, -5*f + 5*b = -25 for f. 3 Solve 2*q + 6 = -2, 2*j + 2*q + 14 = 0 for j. -3 Solve -2*q - 12 = -2*s, -4*s + 4*q + 16 = 8*q for s. 5 Solve 2*p - 2 = -l + 2, 4*l + p = -5 for l. -2 Solve -20 = 5*b, -5*x + 4*b - b = -2 for x. -2 Solve 4*g = -3*o + 25, 9*g + o - 19 = 5*g for g. 4 Solve -5*o + 15 = -c, -o + 3 = -3*c - 0*c for c. 0 Solve 0 = 5*a - 4*x - 20, 3*x + 11 + 5 = 4*a for a. 4 Solve -2*o - 14 = -2*g, 3*o + 8 + 3 = g for g. 5 Solve 4*r - 5*t + 16 = 0, -16 = 4*r + 2*t - 3*t for r. -4 Solve -5*l - a = -0*a + 18, -2*l - 14 = -3*a for l. -4 Solve 8*r + n - 2 = 4*r, 5*n - 10 = 2*r for r. 0 Solve 2*j = 5*y - 12, 0*j - 2*j = 2*y - 2 for j. -1 Solve 5*r + d = -2, -8 = 5*d + 2 for r. 0 Solve 3*z - 9 = 0, 2*b - 3*z + 3 = -16 for b. -5 Solve -2*o + 2*x - 5*x - 12 = 0, -5*o - 21 = 3*x for o. -3 Solve 0*g - 2*g + 2 = 3*a, -3*g - 14 = -4*a for a. 2 Solve -3*t - c - 2 = 0, 0 = -4*t - c - 3*c - 16 for t. 1 Solve 4*c - 5*a + 16 = 49, 5*c + 2*a = 0 for c. 2 Solve 3*f = -l + 14,
{ "pile_set_name": "DM Mathematics" }
s v prime? False Let a(i) = -303*i**2 - 1. Let o be a(1). Let s = o + 437. Is s a composite number? True Let o(j) = 2*j + 2. Let f(x) = -x - 3. Let k = -6 + -3. Let d be f(k). Is o(d) a composite number? True Suppose 2*h - 3*a - 48 + 13 = 0, 3*h = a + 56. Suppose -h = -o + 2*s + 24, o + 4*s = 67. Is o a prime number? False Suppose -2*t + p - 12 = 0, -3*p + 3 = -t - 3. Is (-3)/t*-6 + 118 composite? True Suppose 3035 = 3*l - 4*i, -i - 3*i - 4044 = -4*l. Is l a composite number? False Let x(z) = -5*z**3 + 3*z**2 - 3*z + 9. Is x(-4) a prime number? True Suppose -10 = -5*q, 2*d + 4*q - q - 300 = 0. Let l = 214 - d. Is l a prime number? True Suppose 2*m - 5*h - 247 = 0, -h = -0*m - 3*m + 377. Let f = 271 - m. Is f a prime number? False Let b(r) = 2*r**3 + 23 - r**2 - 3*r**3 + 2*r**2. Let d = -18 + 18. Is b(d) a prime number? True Suppose -10*x + 5*x = -215. Is x a composite number? False Suppose 3*s + 2*m + 2*m - 316 = 0, -4*s + 2*m = -458. Suppose 2*j + 2*u = 6, 5*u = 5*j - 2*j - 1. Is s - 6/4*j a prime number? True Suppose -x - 4*h = -3*x + 1262, 3155 = 5*x + 5*h. Let y(j) = j**3 - 2*j - 1. Let w be y(2). Suppose -x = -3*g - s, 3*g - 258 = w*s + 381. Is g prime? True Suppose 0 = 35*v - 28*v - 2345. Is v a prime number? False Let q(s) = s + 5. Let t be q(-3). Let h(l) = l**3 - 8*l**2 + 7*l + 2. Let x be h(7). Suppose -16 = -4*g, -x*v + t*g = 6*g - 30. Is v composite? False Let x(j) = -2*j - 8. Let a be x(-5). Let w = 1 + -1. Suppose w = -a*k - 8, 0*k = z + 3*k - 67. Is z prime? True Suppose 3 = 3*n - 6*n + 3*a, 0 = 3*n + 4*a + 38. Let k be 326/14 - n/(-21). Suppose 3*p - 4*p + k = 0. Is p prime? True Suppose 5815 = 8*b - 3*b. Is b composite? False Let d = 28 - 46. Is (14/3)/(d/(-351)) composite? True Let o = -13 + 9. Is (-14)/2*(o - 15) prime? False Suppose -3*z + 177 = -6*z. Let y = 121 + z. Let l = y + 21. Is l composite? False Suppose 6*k = k. Suppose 2*j + 2 = -k. Is -3 + (-3)/j - -15 a composite number? True Let b(u) = -u**2 + u. Let j be b(-1). Let l be (1 + -1)*(-1)/j. Suppose l = -i + 11 - 1. Is i a prime number? False Let v = 8 + -2. Let w(q) = 2*q + 0*q - q - v + q. Is w(8) a prime number? False Suppose -3*k - 4*w = 16, 5*w - 18 = 3*k + 16. Let t(l) = -1 + 9 - 9*l + 3. Is t(k) composite? False Let o be 12/10*80/24. Let w(a) = 5*a**2 - 4*a + 3. Is w(o) a prime number? True Let n(v) = -v + 9. Let b be n(7). Suppose -7*q + 905 = -b*q. Is q composite? False Let k be 3/((-30)/(-152))*5. Suppose -4 = -2*n - 2*s, -5*n - 2*s + 26 = 7. Suppose 0 = -3*v - n*j + 57, k = 4*v - j + 3*j. Is v prime? True Let n(b) = 4*b**2 - 2*b - 2. Let m be n(-8). Let c = -143 + m. Is c composite? False Suppose 0 = x - 63 - 1. Let a = x - 39. Is a a prime number? False Suppose -v - 5 = -0*t + 5*t, 5*v + 25 = 3*t. Suppose t = -5*k - 5*m + 370, 3*k - 3*m = -k + 310. Let r = -39 + k. Is r composite? False Let l(d) = -53*d + 2. Is l(-9) composite? False Let m be (-3 + 0)/(9/(-15)). Suppose 41 = 2*h - m*z, -3*h + 14 = z + z. Suppose -3*u = 4*c - h - 33, -2*c + 33 = -u. Is c a composite number? True Suppose 3*o - 166 - 2813 = 0. Is o composite? True Let h = 2 - -2. Let u be 652/20 - h/(-10). Suppose 0 = -3*d - 3, -5*t + 2*d + u + 304 = 0. Is t composite? False Let m = -6 + 9. Suppose -3*i = m*q - 216, -4*q - 2*i + 82 = -216. Is q a composite number? True Suppose x = -m + 214, 154 = m - x - 54. Is m prime? True Let d = -18 - -22. Suppose -690 = -2*n - d*l - 0*l, -4*n + 5*l = -1432. Is n composite? False Let r be (10/4 - 2)*108. Let a = r - 11. Is a a prime number? True Let w(d) = -d - 4. Let b be w(-4). Suppose -s - 4*s + 60 = b. Let m = s + 19. Is m a composite number? False Suppose 0 = 3*d - 1077 + 36. Is d composite? False Let l = -10 + 12. Suppose 4*b - 14 = l. Suppose b*w + 654 = 3*c + 1, 878 = 4*c + 2*w. Is c a prime number? False Let o = 1590 - -881. Is o prime? False Suppose 2*u - 1250 = -5*x + 7*u, 4*u = -4*x + 1008. Is x a prime number? True Let o(x) = 2*x**2 - 2*x + 519. Is o(0) composite? True Let g = 0 - -2. Suppose 0 = -g*j, -3*j = -4*c + 2*c + 106. Is c a prime number? True Suppose 4*w = 2*w. Let g = w - 1. Is (g - -60)*(-3)/(-3) a composite number? False Let g = -8 + 22. Suppose 0 = 3*z - z + 10. Let l = g + z. Is l prime? False Let x(t) be the first derivative of -t**3/3 + 5*t**2 + 8*t + 1. Let f be x(6). Suppose 4 = -2*g, -2*l + f = 2*g - 34. Is l a prime number? False Let r be 42/3*(-12)/7. Is (-6)/r + 595/4 a composite number? False Suppose 0 = 4*f - b + 59 - 6, 2*b = -f - 2. Let q = 3 - f. Is q a composite number? True Suppose 3*t + 78 = -3*v, -44 = 4*v - 4*t + 20. Let n be 6/((-23)/v - 1). Let u = -20 + n. Is u a composite number? False Let j(r) = -r**3 + 20*r**2 + 17*r - 11. Is j(19) composite? False Suppose -3*p + 2*p = -145. Is p a composite number? True Let j be 6 - 4 - 84/(-2). Let m = -1 - -1. Suppose m = 3*k + k - j. Is k composite? False Let z(j) be the second derivative of -j**7/840 - j**6/180 + j**5/60 + j**4/6 + j**3/3 - 2*j. Let v(l) be the second derivative of z(l). Is v(-3) composite? False Let c = 19 + -9. Suppose -46 = -5*y - 4*x, -y + 2*x - c = -2*x. Let b(v) = v + 7. Is b(y) composite? False Let p = -44 - -133. Is p composite? False Suppose -1 = 5*q - 41. Suppose 6*f = 2*f + q. Is f a composite number? False Suppose -13*c + 10*c - 3225 = 0. Let g = 1962 + c. Is g a prime number? True Is -1709*2*(-3)/6 composite? False Is -5*(269/(-5) - (1 + -4)) prime? False Let k(h) = -h + 5. Let t be k(5). Suppose t = 5*n - 0*n. Suppose -3*a = 4*s - 145, n = -a - s + 58 - 8. Is a a prime number? False Let o = 292 + -143. Is o prime? True Let g be -1 - (-54*1 - 0). Let o = 8 + g. Suppose -2*f - 23 + o = 0. Is f composite? False Let k(t) = -t**3 - 2*t**2 - 6*t. Let q(i) = i. Let x be (-2)/(-8) - 45/(-12). Let j(r) = x*q(r) + k(r). Is j(-3) prime? False Suppose -t + 3 = 2. Let r be (t - 114) + (2 - 1). Let i = r - -189. Is i a prime number? False Let z(s) = -5*s**2 - 6*s + 4. Let m be z(6). Is (2 + -1)/((-4)/m) composite? False Suppose 2*t - 1 = 7. Is t/12 - 92/(-3) composite? False Let j be (11 - 8)/((-6)/16). Let q be 3 + j - -2 - -55. Let m = q - -91. Is m a composite number? True Suppose 0*u - 5 = u. Is -1 - -6 - (3 + u) prime? True Let f be (-1)/(-2)*0/2. Suppose f = -5*r + 5*o + 80, 5*r + 4*o - 104 = -33. Is r prime? False Suppose -f - 2*s + 0 + 6 = 0, 0 = -f + 3*s - 4. Let i be (f/3)/((-6)/9). Is 0 + i - (-47 - 5) prime? False Let v = -18 + 31. Let q be 4/(-10) - 404/(-10). Let n = v + q. Is n composite? False Let o be 4/(-6) - (-26)/3. Suppose 6*m = 2*m + o. Suppose -s + 117 = 5*p, 2 = -m*s + 3*s. Is p prime? True Let c be 0 + 0/(-2) + -2. Let p be (1/(c - -1))/1. Is p/((-2)/70 + 0) prime? False Let g = -19 + 41. Let m = g - 12. Suppose 5*y = -m, 2*r + 2*y + 0*y = 10. Is r a composite number? False Let c(t) = t**2 + 8*t - 4. Let j be c(-9). Let q(p) = 3*p - 5. Let y be q(j). Is (-2)/y + 832/10 a prime number? True Suppose -23 = -w + 2*i, -2*w + 6*w = -3*i + 48. Is ((-10)/w)/((-6)/207) a prime number? True Suppose 3*w - 1 = w + r, 0 = r - 3. Suppose -3*k - w*k = -2245. Is k a prime number? True Is (2 + 322)/1 - 1 composite? True Let p(k) = -35*k + 4. Let c be p(3). Let s be ((-4)/(-4))/(1/c). Let b = 48 - s. Is b prime? True Let a = -32 + -5. Let l = a - -70. Is l a prime number? False Let g = -9 + 12. Suppose -2*p + 387 = g*l, -l - 4*l = 2*p - 649. Is l prime? True Let a(z) = 2*z. Let s be a(-11). Let r = s - -47. Is r a prime number? False Let x(k) = 383*k - 4. Is x(1) a prime number? True Let k = -106 - -32. Is (-2)/(2 - (-152)/k) composite? False Let g be (-12)/21 + (-7328)/14. Let h = -301 - g. Is h a composite number? False Let h(f) = f**3 - 4*f**2 - f + 2. Let z be h(4). Let g be (-24)/(-15) + z/(-5). Is g/(-5) - (-347)/5 a prime number? False Suppose -483 = 3*l + 4*t - 2698, -5*l + 3745 = -4*t. Is l a composite number? True Suppose -5*s = -3*s + 12. Let t = 4 + s. Is 21 + 1*(-4)/t composite? False Is 1334*(9/2 - 4) composite? True Suppose 3*k = 6*k - 6. Let y = k + 0. Is -1 - -1 - -45 - y a composite number? False Suppose -2*o + 1 + 5 = 0. Suppose -7*j - 2*s = -2*j - 18, 20 = 2*j + 4*s. Suppose t - 37 = o*y, 0*t - 74 = -2*t + j*y. Is t composite? False Let b(u) = -u + 7. Let a be b(6). Let x be 2*(0 + a) - 5. Is (1 - 2)/(x/237) a com
{ "pile_set_name": "DM Mathematics" }
h*y + x*y**2 + b and give h. -39 Express 6*q**2 + 41*q**2 - 3 - 15969*q + 15973*q + 4 in the form o*q**2 + p*q + z and give z. 1 Rearrange 533*o - 1592*o + 28*o**2 + 532*o + 531*o to the form k + l*o + r*o**2 and give l. 4 Rearrange (126*k - 81*k + 60 - 41*k)*(-12 - k + 12) to the form i*k**2 + s*k + t and give i. -4 Express 95*n**2 + 2166*n**2 - 441*n**2 + 738*n**2 + 2120*n**2 in the form y*n + q + b*n**2 and give b. 4678 Express -1435*n + 215 - 104 + 4742*n - 111 as h + u*n and give h. 0 Express (4*d + 14 - 14)*(180*d + 106*d + 829*d) as j*d + t + z*d**2 and give z. 4460 Express -12 + 30 + 28 + 296*h + 27 - 74 in the form z + l*h and give z. -1 Express (-227 - 30 - 129)*(44*x + 7*x + 6*x) in the form y + m*x and give y. 0 Express 180797 + 180548 - 358383 - y in the form x + m*y and give x. 2962 Rearrange (3*b**2 - 3 + 2 - 4*b**2)*(1 - 3 - 1)*(-4*b + 17*b + 0*b + (-2 + 1 + 4)*(-2 - b + 2)) to t*b**2 + s + u*b + h*b**3 and give t. 0 Express (-18 + 8*s + 18)*(s + s + 0*s) - 8*s**2 + 31*s**2 + 20*s**2 + (0 - 2 + 1)*(2*s**2 - 2*s**2 - 2*s**2) as z*s**2 + u + a*s and give z. 61 Rearrange 699*o + 1 + 159*o**2 + 1 + 151*o**2 - 312*o**2 to w*o + p*o**2 + l and give p. -2 Rearrange 2 + s**4 - 2 - s**2 + (-5*s**3 - 7*s**3 - s**3)*(-14885 + 7160 + 7469 - 2*s) to the form l + g*s**4 + m*s**2 + d*s + a*s**3 and give g. 27 Express 0*l + 2*l**3 + 0*l + (-1504 + 753 - 524*l**2 + 750)*(-l + 4 - 4) in the form y*l + j*l**3 + t + k*l**2 and give t. 0 Rearrange -3 + 133*v**4 + 0*v**3 + 260*v**4 - 95*v**4 - 1 - v**3 to the form p*v**2 + r*v + m + s*v**4 + q*v**3 and give q. -1 Rearrange (104629*w**2 + 46626*w**2 + 19609*w**2 - 1735*w**2)*(-2*w**2 + w**2 + 0*w**2) to o + k*w**4 + d*w**3 + m*w**2 + p*w and give k. -169129 Express 898*k - 1073*k + 4216*k in the form l + s*k and give s. 4041 Express 54*w**3 + 27*w**2 - 55*w**2 - 98*w**3 + 51*w**3 - 2*w in the form j + l*w**2 + n*w + t*w**3 and give n. -2 Express -55*z**2 + z + 29*z**2 + 1 - 2 + 5 + 23*z**3 + 24*z**2 as r + i*z**2 + k*z + b*z**3 and give r. 4 Rearrange -2*v**4 + 1 + 2*v**2 - 6*v**2 - 2993*v + 5*v**2 + 2566*v to the form j*v + f + q*v**4 + c*v**3 + g*v**2 and give q. -2 Rearrange 8486*w + 21848 - 246*w + 21841 - 43689 to the form m*w + z and give z. 0 Rearrange -320*a + 151*a - 85*a + 6*a**3 + 10*a**3 - 94*a to s*a**3 + y*a**2 + c + m*a and give m. -348 Rearrange 1208*f**2 - 554*f**2 - 3 - 143*f - 3*f**4 - 654*f**2 to the form a*f + j*f**2 + t*f**4 + s*f**3 + n and give n. -3 Rearrange 984*n**2 - 1516*n**2 - 3 + 14*n - 16*n to l*n**2 + i*n + h and give l. -532 Rearrange (10938 - 17705 + 13469)*(-3 + 4 - 2)*(4 - 4 - 2*p) to n*p + t and give n. 13404 Express 9*y - 119*y + 29*y + (3*y + y - 5*y)*(1 + 15 + 16) as q*y + b and give q. -113 Rearrange -130825*k**2 + 130827*k**2 - 1588 - 13158 to h*k + w + v*k**2 and give v. 2 Rearrange (f + 3*f - 3*f)*(2*f + 0 + 0) + 33 - 33 + 35*f**2 - 55*f**2 + 271*f**2 + 32*f**2 to the form a*f + s + p*f**2 and give s. 0 Rearrange (3 - 3 + 3*h**2)*(-1 - 354*h + 721*h - 350*h)*(10 - 3 - 3)*(1 + 0 - 2) to the form g + y*h + n*h**2 + q*h**3 and give q. -204 Express 24*o + 3*o**3 + 3*o**2 - 89*o - 5*o**3 + 3 + 35*o + 34*o as t + j*o**3 + d*o**2 + b*o and give b. 4 Rearrange -38728*l**3 - 3*l**4 + 19370*l**3 + 2*l**2 - 6*l - 5 + 19367*l**3 to the form x*l**2 + a*l**4 + g*l**3 + s*l + u and give s. -6 Rearrange (0 - 2 + 27)*(0*b + 5*b - b)*(0 - 2 + 3) to f + t*b and give t. 100 Express -2*t + 24179 - 24146 + 3*t**2 - 2*t**2 - 2*t**2 as z*t**2 + y*t + d and give z. -1 Express -346*y + 2*y**3 - 328*y - 22*y**3 + 2*y**4 + 678*y + 2 - 2*y**2 as j*y**4 + k*y + z*y**3 + t + w*y**2 and give k. 4 Rearrange 1 - 23*p**2 + p + 0*p - 3 + 2*p**3 - 3*p**4 + 36*p**2 to u + h*p**3 + c*p**2 + q*p + g*p**4 and give c. 13 Rearrange -27*a**2 - a - 29*a**2 + 16 - 2*a**3 + 12 - a + 54*a**2 to i*a**3 + t + r*a**2 + l*a and give l. -2 Express 2 + 0 - 44*v**3 - 5*v + 214*v**3 - 2 as x*v**2 + z*v**3 + p + n*v and give z. 170 Express 2*g**3 + 0*g**3 - 2997*g**2 + 2880*g**2 + 9 in the form r + u*g**2 + h*g + l*g**3 and give u. -117 Express (26 + 7 - 8)*(-2 - 5 + 4)*(-40*f + 41 - 41) as w + i*f and give i. 3000 Express (2*n + n - 13*n)*(-5 - 3 + 4)*(1 - 1 - 1)*(-289*n + 100143 - 100143) in the form a + t*n + y*n**2 and give y. 11560 Express -4*w**2 + 77 - 2*w**3 + 192 - 248 - 8*w**4 in the form u*w**3 + c*w**2 + v + b*w + j*w**4 and give v. 21 Express 191 + 8*f - 304 + 140 + 160 in the form h + o*f and give h. 187 Express (2*p + p - p)*(3 + 4 - 5) + p - p + p + 76*p - 118*p - 35*p - 2*p - 10*p + 30*p as g + t*p and give t. -54 Express 1631*p**2 + 5*p**3 + 90*p + 2*p**4 - 1626*p**2 - 5*p**3 in the form i*p**2 + h*p + z*p**4 + o + m*p**3 and give z. 2 Express (-29 + 54 + 27*j - 26)*(727 - 727 - 126*j**2) in the form k*j**3 + d + q*j**2 + a*j and give k. -3402 Rearrange (-2*g - 2*g + 3*g)*(-3*g**2 - g**2 + 2*g**2) - 9570777*g**3 - 67*g + 9570760*g**3 - 53*g to c*g**3 + l*g**2 + o + j*g and give c. -15 Express -66*h**3 - 282702562*h**2 - 1 + 282702554*h**2 - 200*h**3 as j*h**2 + y*h**3 + p*h + d and give d. -1 Rearrange -5*r**4 + 2*r**4 + 2*r**2 + r**2 + (-5*r**2 - 3*r**2 + 5*r**2)*(491*r**2 + 71*r**2 - 69*r**2) to v + y*r**4 + h*r**2 + g*r**3 + m*r and give h. 3 Express -1107*u + 278*u - 2348*u - 362*u - 13 + 8 in the form a*u + g and give g. -5 Express -3 - 17*b - 59*b**3 + 19*b - 69*b**3 + 2*b**2 - 6*b**2 + 161*b**3 in the form d*b**3 + h + k*b**2 + z*b and give h. -3 Rearrange 4*d**2 - d**3 - 9*d**4 + 8*d + 7*d**4 + 2*d**3 - 3*d to r + x*d + c*d**2 + u*d**3 + p*d**4 and give u. 1 Rearrange (-13 - 38 + 5 - 38)*(93*o**2 - 13*o**2 + 109*o**2) to the form c*o**2 + s + a*o and give c. -15876 Express 3*l - 1211 + 1209 + 1333*l**2 - 258*l**2 in the form g*l**2 + k*l + c and give g. 1075 Rearrange 0*g + 5*g - 3*g + (-3*g - g + 2*g)*(-3 + 2 + 3) + (52 - 7 + 2)*(-1 + 56*g - 393*g - 110*g) to w + z*g and give z. -21011 Express -210*w**3 + 522 + 211*w**3 - 624 - 3*w**4 - w as k*w**4 + y*w**3 + c*w**2 + r + d*w and give k. -3 Express -9008 - 5467*r + 4505 + 4503 in the form o + p*r and give p. -5467 Express -2*y**3 - 4*y**2 + 24 - 117*y + 4*y**2 + 105*y as v*y**2 + q + b*y + t*y**3 and give q. 24 Express -1633*u**3 + 3*u + 11 - 2*u**2 + 2*u**4 - 9 + 1442*u**3 in the form l*u + h*u**3 + v*u**4 + t + c*u**2 and give l. 3 Express -302*a**2 + 5*a + 7*a + 7*a**4 + 303*a**2 as b*a**2 + j*a**4 + d*a**3 + y + x*a and give j. 7 Rearrange 6*s**2 - 3*s**2 - 31199*s - 2 + 31240*s - 8*s**3 - s**2 + 2*s**2 to the form v + i*s**2 + r*s**3 + c*s and give i. 4 Rearrange (28 + 3*m - 28)*(1 - 6 + 2)*(40 - 52 + 27) to n*m + d and give n. -135 Express 78*k + 4*k**2 - 78*k + (-k + 6*k - 4*k)*(0*k - 4*k + 3*k) + 77*k**2 - 58*k**2 + 145*k**2 as m*k + a + x*k**2 and give x. 167 Rearrange -16*k**3 + 4*k**3 - 417*k**2 + 2 - 1 + 15*k**3 to the form m*k**2 + u + j*k**3 + o*k and give m. -417 Rearrange 34542 + 15374*t**2 - 34542 to the form a*t**2 + k*t + r and give k. 0 Rearrange ((b + 0*b + 0*b)*(-3 + 4 + 0) - 9770*b + 621494 - 621494)*(0 + 3 - 2) to the form h + z*b and give h. 0 Rearrange -9445 + w**3 + 639*w**2 + 9504 - 632*w**2 + w**3 to the form g*w**3 + q*w + d*w**2 + s and give d. 7 Express 22*z**2 + 6*z**4 - z**3 + 3*z**4 - 21*z**2 - 5*z**4 - 893 - z - 7*z**4 as i*z**4 + d*z**2 + u + t*z**3 + n*z and give n. -1 Rearrange (15*g - 3*g + 6*g)*(1 + 3 - 5)*((-2 - 2 + 3)*(-6 + 1 + 2) + 13 - 19 + 43) to h + r*g and give r. -720 Rearrange 33*x**4 - 19*x**4 - 2*x**2 - 20*x**4 - 122 + 71 - 2*x to the form d*x**2 + z*x**3 + c*x**4 + l*x + m and give c. -6 Rearrange 515*q + 12 - 9*q**2 - 1065*q + 553*q to the form v*q**2 + r*q + o and give o. 12 Express -8986*h**2 - h - 1 + 8952*h**2 - 5 in the form k*h + a + x*h**2 and give x. -34 Rearrange (45*c + 3*c**2 - 42*c + 53*c)*(-28*c - 2 + 0 + 23*c)*(0 + 1 + 0) to the form y + o*c**3 + q*c**2 + l*c and give l. -112 Express 19 - 1914*b**2 - b**3 + 3878*b**2 - 1960*b**2 - 5*b as c*b**3 + k*b**2 + q + z*b and give k. 4 Express 436*h**2 + h + 2 + 3359*h**3 - 3358*h**3 - 116*h**2 as p*h + y*h**3 + g + l*h**2 and give y. 1 Express (-1 - 1 - 4)*(10267 + 6*p - 10252 + 8*p + (-1 + 3 - 3)*(p + 0*p + p)) as w + r*p and give w. -90 Rearrange -d**2 - 24*d**3 + 6*d**2 + 28*d**3 + (1 + 1 + 3)*(-4*d**3 + 75*d**3 + 95*d
{ "pile_set_name": "DM Mathematics" }
97*w**2 - 619*w**2. Let g(f) = -11*a(f) + 3*n(f). Give q(g(c)). -22*c**2 Let a(m) = m + 35. Suppose -6*n = -8*n + 1010. Let d(x) = -n*x**2 + 255*x**2 + 252*x**2. Calculate d(a(t)). 2*t**2 + 140*t + 2450 Let o(u) = u**2 + 7. Let l(t) be the second derivative of -2*t**4/3 - 4*t + 9. What is l(o(p))? -8*p**4 - 112*p**2 - 392 Let h(m) = -m**2. Let w(b) = 1989*b**2 + 102*b + 204. Let r(n) = 97*n**2 + 5*n + 10. Let x(j) = -102*r(j) + 5*w(j). Calculate h(x(z)). -2601*z**4 Let q(x) = 2*x. Suppose -8 = -4*i - 0. Let u(z) be the first derivative of -z**i + 1 - 3*z**2 + 5. Calculate q(u(w)). -16*w Let y(t) be the second derivative of -3*t**3 - 2*t - 30. Let f(b) = 5*b**2 + 6*b - 6. Let w(j) = -j**2 - j + 1. Let l(q) = -f(q) - 6*w(q). What is l(y(p))? 324*p**2 Let l(f) = f**2. Let i(t) = 936447*t**2. What is l(i(b))? 876932983809*b**4 Let y(r) = 12 + r - 12 - 2*r. Let i(o) = 13*o**2 + 2*o - 2*o - 3*o**2. Calculate i(y(t)). 10*t**2 Let n(v) be the first derivative of -25/2*v**2 + 0*v - 52. Let m(u) = -2*u**2. Determine n(m(o)). 50*o**2 Let s(u) = -31*u - 18. Let y(c) = -15*c - 8. Let n(l) = 4*s(l) - 9*y(l). Let w(p) = 19*p. What is n(w(b))? 209*b Let w(n) = -n**2. Suppose -5*o + 75 = -10. Let u = o + -17. Let t(x) = u*x + 2*x - 3*x + 2*x. Determine w(t(b)). -b**2 Let p(d) be the second derivative of d**7/1260 - 3*d**4/4 - 26*d. Let m(c) be the third derivative of p(c). Let q(k) = 7*k**2 - 4*k. What is m(q(l))? 98*l**4 - 112*l**3 + 32*l**2 Let u(d) = -d. Let t(v) = 325*v**2 - 52*v + 520. Let n(i) = 31*i**2 - 5*i + 50. Let p(g) = -52*n(g) + 5*t(g). Determine p(u(m)). 13*m**2 Let n(k) = 20*k. Let z(x) = x. Suppose 0 = -2*o - 6 - 24. Let v(s) = o*z(s) + n(s). Let w(m) = -10*m. Give w(v(l)). -50*l Let x(l) be the third derivative of 115*l**4/8 + 133*l**2. Let s(h) = 2*h**2. Calculate s(x(z)). 238050*z**2 Let l(v) be the second derivative of -v**4/24 - 31*v**2/2 + 34*v. Let d(t) be the first derivative of l(t). Let p(z) = -28*z. Determine d(p(j)). 28*j Let l(g) = 14*g**2 - 7*g - 7. Suppose -58 = 2*d - 72. Let o(u) = -5*u**2 + 2*u + 2. Let x(m) = d*o(m) + 2*l(m). Let p(v) = -3*v**2. Give p(x(j)). -147*j**4 Let t(h) = -21*h - 8. Let f(g) = -4*g - 1. Let a(x) = 6*f(x) - t(x). Let y(n) = -n**2. Determine a(y(l)). 3*l**2 + 2 Let f(d) = d + 307. Let g(v) = -3*v + 5*v + 0*v - 24 + 24. Give f(g(o)). 2*o + 307 Let f(z) = 2*z. Let o(g) = 5*g + 46685. Determine f(o(s)). 10*s + 93370 Let j(t) be the second derivative of 0 + 34*t + 0*t**2 - 1/6*t**3. Let m(v) = 21*v**2. What is m(j(i))? 21*i**2 Let n be 3 - (0 + 1 - 0). Let k(p) = p - 2*p - 2*p**n + p. Let w(v) = -15*v + 17. Let z(y) = -5*y + 6. Let m(g) = 6*w(g) - 17*z(g). Calculate m(k(i)). 10*i**2 Let y(b) = -5*b**2. Let c(d) = -d**2 - 2. Let s(l) be the third derivative of -l**5/4 - 3*l**3 + 22*l**2. Let g(z) = 9*c(z) - s(z). Give y(g(p)). -180*p**4 Let k(j) = j - 1. Let r(m) = 2811*m. Determine k(r(b)). 2811*b - 1 Suppose 2*z + 3 = -z. Let o = z + 3. Let l(q) = -1 + o + 4*q - 1. Let i(x) = -3*x**2. Give i(l(w)). -48*w**2 Let m(o) be the second derivative of o**4/4 - 3*o. Let g(f) = f**2 + 5*f - 12. Let z be g(-7). Let t(p) = -3*p**2 - 2*p**2 + z*p**2 + 2*p**2. Give m(t(r)). 3*r**4 Let t(c) = -c. Let y(b) = 9*b + 4. Let z(s) = 9*s + 4. Let i(q) = 4*y(q) - 3*z(q). Determine t(i(a)). -9*a - 4 Let k(d) = 128*d. Let z(a) = 381*a. Let w(j) = -7*k(j) + 2*z(j). Let t(y) = y. Calculate w(t(r)). -134*r Let f(c) = -10*c + 10. Let l(q) = -11*q + 12. Let r(j) = -6*f(j) + 5*l(j). Let u(g) = -20*g**2. Calculate r(u(x)). -100*x**2 Let t(c) = -198*c. Let n(f) = 6*f - 6. Let w(q) = 7*q - 8. Let v(b) = -4*n(b) + 3*w(b). Give v(t(k)). 594*k Let l(s) be the second derivative of 0 + 24*s + 0*s**2 + 1/6*s**3. Let i(d) = -2*d. Give l(i(q)). -2*q Suppose 6*n - 4*n = f - 8, 4*f - 4*n - 24 = 0. Let y(v) = 7*v + 4*v + 13*v - f*v. Let t(i) = -2*i**2. What is y(t(p))? -40*p**2 Let i(x) be the third derivative of x**5/4 + x**3/2 + 237*x**2. Let p(f) = 4*f**2. Give p(i(c)). 900*c**4 + 360*c**2 + 36 Let l(s) = s**2 - 57. Let d(a) = -21*a - 2. Calculate l(d(x)). 441*x**2 + 84*x - 53 Let s(h) = -7*h**2. Let a(n) = 84 + 93 + 91 - 268 - 44*n. Determine a(s(j)). 308*j**2 Let y(l) = -14*l + 90. Let q(a) = -6*a - 1. Let h(n) = 2*q(n) - y(n). Let t(p) = p**2. Give t(h(f)). 4*f**2 - 368*f + 8464 Let i(h) = -5*h. Let p(j) be the first derivative of -13*j**3/3 + 2*j**2 - 1068. What is i(p(s))? 65*s**2 - 20*s Suppose 18 = 2*n - r, 0*n - 2*r - 15 = -n. Let p(f) = 2*f + f + f - n*f. Let q(x) = 10*x. Calculate q(p(b)). -30*b Let h(g) = 3*g - 5318. Let j(i) = -i**2. What is h(j(d))? -3*d**2 - 5318 Let b(g) = g. Let j(w) be the first derivative of -5*w**4/6 + 5*w - 1. Let p(f) be the first derivative of j(f). Give p(b(m)). -10*m**2 Let p(b) = 2*b**2. Let o(w) = 360951*w**2. What is p(o(l))? 260571248802*l**4 Let q(s) = 2167*s - 724*s - 721*s - 211 - 723*s. Let a(y) = 2*y. What is a(q(u))? -2*u - 422 Let g(x) = 7*x. Let q(v) = -v. Let f(j) be the second derivative of j**3/3 + 5*j. Let z(p) = 2*f(p) + 6*q(p). Calculate z(g(t)). -14*t Let k(g) = -1948*g - 1956*g + 3898*g. Let t(a) be the first derivative of a**2/2 - 1. Give t(k(i)). -6*i Let p(f) = -3*f**2 + 8. Let b(r) = -2. Let d(c) = 8*b(c) + 2*p(c). Let g(i) = -25*i**2. Calculate d(g(q)). -3750*q**4 Let n(z) = -2*z**2 + 818*z - 2. Let v(p) = p. Calculate v(n(t)). -2*t**2 + 818*t - 2 Let z(y) = 2*y. Let c(k) = 9*k - 41. Let u(d) = -6*d + 28. Let o(s) = 5*c(s) + 8*u(s). What is o(z(l))? -6*l + 19 Let c(k) = 281357*k**2. Let f(v) = -v**2. Give c(f(m)). 281357*m**4 Let v(u) = -77*u. Let o(l) = 41*l**2. Determine v(o(p)). -3157*p**2 Let o(q) be the first derivative of q**2 + 1. Let v be 198/(1 + 1)*(35 + -4). Let l(d) = -v + 3069 - 3*d**2. What is l(o(x))? -12*x**2 Let f(k) be the third derivative of -19*k**5/60 - k**2. Let h(s) be the third derivative of -s**4/12 - 98*s**2. Give f(h(c)). -76*c**2 Let h(r) = -877*r - 3. Let t(v) = 21*v**2. Determine h(t(a)). -18417*a**2 - 3 Let a(l) be the second derivative of l**3/2 - 6*l. Let p(z) = 39*z. Calculate p(a(n)). 117*n Let d(l) = 8*l**2. Let a(s) = 7*s + 4. Let x(h) = 2*h**2 + 23*h + 7. Let k be x(-11). Let m(q) = 36*q + 21. Let n(u) = k*m(u) + 21*a(u). Give d(n(v)). 72*v**2 Let t = 45 + -43. Let d(l) = -347 - 2*l**2 + 347 + 3*l**t. Let h(m) = -m**2 - m - 1. Let f(v) = 8*v**2 + 12*v + 12. Let q(u) = f(u) + 12*h(u). Give d(q(k)). 16*k**4 Let p(k) = 39*k**2 - 15*k - 5. Let d(v) = 232*v**2 - 87*v - 29. Let s(l) = 5*d(l) - 29*p(l). Let f(b) be the second derivative of b**3/6 + b. Give s(f(w)). 29*w**2 Let b(h) = 7*h**2. Let v be 40/16*2/1. Let u(q) = -3*q**2 + 7*q**2 - 3*q**2 + v*q**2. What is b(u(x))? 252*x**4 Let j(z) = -1162*z**2. Let w(b) = -b + 30783*b**2 + b - 30784*b**2. Calculate w(j(g)). -1350244*g**4 Let v(t) = 8*t**2 - 2*t. Let h(k) = 2962*k. Give v(h(i)). 70187552*i**2 - 5924*i Let q(y) be the second derivative of 3*y**4/4 - 226*y. Let v(b) = 17*b. Determine v(q(d)). 153*d**2 Suppose -12*p + 21 + 15 = 0. Let q(d) be the third derivative of 0*d**4 + d**2 + 0 + 0*d + 0*d**p - 1/20*d**5. Let x(v) = -v**2. Give q(x(b)). -3*b**4 Let p(i) = 7*i. Let j(o) = 3*o**2 + o - 1. Let y(h) = 16*h**2 + 3*h - 3. Let d(z) = -3*j(z) + y(z). Calculate p(d(k)). 49*k**2 Let w(b) = 8*b. Let x(c) be the third derivative of c**5/60 + 3*c**4/8 - 4*c**3/3 + 8*c**2. Let j be x(-10). Let r(g) = 163*g - 163*g - g**j. Calculate w(r(z)). -8*z**2 Let w(k) = k**2. Let o(v) = 137617*v**2. What is w(o(h))? 18938438689*h**4 Let h(q) = -2*q. Let f(w) be the third derivative of w**3/3 + 26*w**2. Let b(y) = 11*y**2 - 110. Let d(v) = -2*b(v) - 110*f(v). Calculate d(h(a)). -88*a**2 Let q(a) = -3*a**2 - a. Let u(p) be the third derivative of -p**5/60 - 17*p**2 - 3*p. What is u(q(m))? -9*m**4 - 6*m**3 - m**2 Let b(c) be the third derivative of 11*c**4/24 + 206*c**2. Let m(w) = -13*w**2. Calculate b(m(q)). -143*q**2 Let o(u) = -7*u**2. Let t(a) = -279100*a**2. Give t(o(p)). -13675900*p**4 Let z(m) = 1513*m - 915*m + 2 - 2. Let u(r) = -r**2. Calculate z(u(k)). -598*k**2 Suppose -206 = -2*v - 52. Let q(t) = -v - 2*t + 0*t + 77. Let s(u) = 5*u**2. Give q(s(l)). -10*l**2 Let o(s) = -116*s**2 + 2 - 108*s**2 + 222*s**2. Let p(m) = m. Calculate o(p(l)). -2*l**2 + 2 Suppose 0 = -9*m + 6*m + 36. Let o(y) = -m*y**2 -
{ "pile_set_name": "DM Mathematics" }
69 divided by -5 -9569/5 What is 407636 divided by 4? 101909 What is -98 divided by 8409? -98/8409 Calculate 1582 divided by -113. -14 -233668 divided by -4 58417 What is 0 divided by 105669? 0 What is 1378800 divided by -720? -1915 What is -29349 divided by 1? -29349 What is 524731 divided by 524731? 1 What is 421275 divided by 15? 28085 Calculate -32583 divided by 10861. -3 Divide 751 by 423. 751/423 Divide 160 by 1014. 80/507 Calculate -1055730 divided by 30. -35191 118800 divided by 220 540 Calculate 2787 divided by -121. -2787/121 -157635 divided by 1 -157635 Divide 3 by 70750. 3/70750 Calculate -16 divided by 2010. -8/1005 What is -14 divided by -309? 14/309 -5499 divided by 37 -5499/37 What is -1537300 divided by -307460? 5 Divide 2 by 52479. 2/52479 What is 10 divided by 25610? 1/2561 Divide -1509989 by -533. 2833 Divide -3 by -61800. 1/20600 Divide 224982 by -74994. -3 Calculate 1 divided by 54945. 1/54945 Divide 4 by 45589. 4/45589 24574 divided by -18 -12287/9 What is 106 divided by -15113? -106/15113 What is 3861 divided by -297? -13 Divide 649332 by -54111. -12 -1094 divided by 124 -547/62 -774676 divided by -193669 4 -3380433 divided by 1126811 -3 Divide 3171332 by 792833. 4 Calculate 217600 divided by -43520. -5 Calculate -24 divided by -10774. 12/5387 What is -496938 divided by -6? 82823 Divide 20830 by -49. -20830/49 What is 341 divided by -245? -341/245 What is -79299 divided by 14? -79299/14 What is -12672 divided by -192? 66 Divide -12 by 18826. -6/9413 -65 divided by -13338 5/1026 Calculate -3611048 divided by -4. 902762 What is 7337 divided by 667? 11 Calculate 89568 divided by -1866. -48 What is -2340250 divided by 46805? -50 What is -4965 divided by -37? 4965/37 What is 2694022 divided by -3517? -766 Calculate 5 divided by 1611. 5/1611 What is -18 divided by -31382? 9/15691 What is 7590285 divided by 4? 7590285/4 924354 divided by -6 -154059 Calculate 13122 divided by 64. 6561/32 Divide 1318356 by 6. 219726 Divide -2 by 39527. -2/39527 What is -4 divided by 6101? -4/6101 Calculate -19893 divided by 1. -19893 Divide -14 by -53088. 1/3792 What is 850032 divided by -212508? -4 -6460 divided by -34 190 What is 6200 divided by 7? 6200/7 Calculate 107 divided by -180. -107/180 What is 449 divided by 11? 449/11 Calculate 18978 divided by -6326. -3 Divide -14 by 46417. -2/6631 What is -30 divided by -10286? 15/5143 Divide 87 by 424. 87/424 Calculate -12 divided by -182168. 3/45542 Divide -19 by -73388. 19/73388 Calculate -100464 divided by -1092. 92 What is -5 divided by -48183? 5/48183 What is -3 divided by -1300? 3/1300 What is 3209115 divided by -35265? -91 What is 3708906 divided by 1? 3708906 Calculate 50 divided by 9835. 10/1967 What is 3414 divided by -1? -3414 -544 divided by -4376 68/547 Divide -12415 by 2. -12415/2 743904 divided by -2952 -252 What is -557 divided by -3287? 557/3287 What is 439301 divided by -2? -439301/2 Divide -328585 by -5. 65717 Calculate -273278 divided by 2554. -107 What is -76330 divided by -4490? 17 4 divided by 504 1/126 What is -4 divided by 3974? -2/1987 Divide 12364 by -44. -281 What is -332325 divided by 633? -525 What is -1246930 divided by -249386? 5 -35336 divided by 35336 -1 Calculate 232954 divided by -538. -433 1680 divided by -6 -280 Calculate -1422556 divided by 4. -355639 1 divided by -1230663 -1/1230663 53179 divided by -7597 -7 1 divided by -580026 -1/580026 What is -5 divided by 16179? -5/16179 Calculate 34 divided by 5033. 34/5033 16 divided by 35635 16/35635 Calculate -12 divided by -214926. 2/35821 Calculate -4171608 divided by -67284. 62 2 divided by 184809 2/184809 What is 55810 divided by 27905? 2 Calculate 1536 divided by -133. -1536/133 -4 divided by 61844 -1/15461 Divide 2803671 by 403. 6957 What is 433881 divided by 48209? 9 494180 divided by 4 123545 What is 29924 divided by -4? -7481 Divide 35 by -82225. -7/16445 What is 2317045 divided by -14215? -163 Divide -878 by -6. 439/3 Calculate 4 divided by -1008. -1/252 1703658 divided by 3 567886 Calculate -209 divided by 129. -209/129 What is -198720 divided by -552? 360 Calculate -422922 divided by 6. -70487 Divide 53280 by 111. 480 Divide -661 by -185. 661/185 What is 44503 divided by 191? 233 6866 divided by 3433 2 What is 11 divided by 91937? 11/91937 -65740 divided by 4 -16435 Divide 1833848 by -82. -22364 Divide -83862 by 6. -13977 Calculate -254 divided by 165. -254/165 Calculate 8421 divided by -2807. -3 Calculate -2 divided by 30254. -1/15127 Divide 12 by 63819. 4/21273 Divide 184342 by 1. 184342 What is -2047 divided by -45? 2047/45 What is -4 divided by -12731? 4/12731 -3698940 divided by 84 -44035 What is 13118 divided by 108? 6559/54 Calculate 488 divided by -122. -4 What is 1943286 divided by -6? -323881 11 divided by 822 11/822 Calculate -1282038 divided by 17. -75414 What is -3 divided by 194252? -3/194252 Divide 15 by -31519. -15/31519 Calculate 46956 divided by 3612. 13 Calculate -280 divided by 4628. -70/1157 Divide 492910 by 98582. 5 Divide 31182 by -15591. -2 -14 divided by 21472 -7/10736 777188 divided by -587 -1324 Calculate -10680 divided by -51. 3560/17 What is -146376 divided by 12? -12198 Calculate 3 divided by -32303. -3/32303 Divide 336189 by 3. 112063 695212 divided by 98 7094 Calculate 82698 divided by 5907. 14 Divide 113690 by 22738. 5 Divide -2637796 by -4. 659449 Calculate 14 divided by -11298. -1/807 0 divided by -3192 0 2 divided by -3300 -1/1650 Calculate -3 divided by 15398. -3/15398 What is 445 divided by -61? -445/61 Calculate -29 divided by 1021. -29/1021 -527 divided by 433 -527/433 What is -420453 divided by 5? -420453/5 -168960 divided by 3 -56320 82920 divided by -19 -82920/19 Calculate -100 divided by 16487. -100/16487 Divide 263388 by -1868. -141 -2067489 divided by -13513 153 Divide 184589 by -197. -937 Calculate 17320 divided by 10. 1732 What is 0 divided by -34445? 0 Calculate -3694176 divided by 6. -615696 38 divided by -14132 -19/7066 -153125 divided by 5 -30625 What is -51785 divided by -10357? 5 -9885 divided by -1977 5 Divide -1782362 by 4. -891181/2 Divide -8100 by -4. 2025 Divide 2 by 7092. 1/3546 -205493 divided by 20 -205493/20 Calculate -202 divided by -143. 202/143 What is 77 divided by 207? 77/207 1149980 divided by -13 -88460 -1421916 divided by 4 -355479 8031 divided by 50 8031/50 What is -333141 divided by 12? -111047/4 Calculate -1 divided by 13903. -1/13903 Divide -2432460 by -4260. 571 Divide 25 by -136. -25/136 0 divided by -9066 0 What is -188278 divided by 94139? -2 -88605 divided by 8055 -11 1151766 divided by -2493 -462 1014484 divided by 7 1014484/7 41786 divided by 2 20893 Calculate 22144855 divided by -5. -4428971 4 divided by 478848 1/119712 Calculate 39603 divided by -13201. -3 36680 divided by 2620 14 What is 9 divided by 5476? 9/5476 Divide -257 by -91. 257/91 What is -1779 divided by -1? 1779 1849184 divided by 32 57787 -225372 divided by 4 -56343 -6281 divided by 661 -6281/661 Calculate -33152 divided by 37. -896 What is 564492 divided by 3? 188164 What is 996976 divided by -498488? -2 -4096 divided by -4096 1 What is -6 divided by -623? 6/623 -24608 divided by 3 -24608/3 Calculate 1651176 divided by 2907. 568 Calculate 56 divided by -50760. -7/6345 Calculate -1911 divided by 84. -91/4 What is -1440138 divided by -12102? 119 Calculate -10659 divided by -187. 57 Divide -145332 by -2. 72666 26 divided by -1646 -13/823 4 divided by 36300 1/9075 -130 divided by -6945 26/1389 6 divided by 1765 6/1765 Calculate -5 divided by 56081. -5/56081 63 divided by -2667 -3/127 345820 divided by -34582 -10 What is -9 divided by -282307? 9/282307 Divide -127 by -316. 127/316 Divide -167580 by -95. 1764 1780 divided by -1241 -1780/1241 -154 divided by -169 154/169 What is -115093 divided by 11? -10463 What is 573192 divided by -7961? -72 Divide 0 by -82275. 0 What is -212387 divided by -1? 212387 Divide -28356 by -51. 556 What is 361 divided by 138? 361/138 What is 5243 divided by -5? -5243/5 Divide 485340 by -485340. -1 Divide 50 by -204. -25/102 What is -344288 divided by 742? -464 Calculate 4381 divided by -624. -337/48 Divide 5 by -16022. -5/16022 Divide 98173 by -5167. -19 -2 divided by -1134275 2/1134275 Divide -8912 by 6. -4456/3 Calculate -10742
{ "pile_set_name": "DM Mathematics" }