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7 + 1. Let v(x) = 15*x - 17. Determine 13*b(j) - 6*v(j). j - 2 Let p(y) be the first derivative of -1/4*y**4 + 0*y + 0*y**2 + 4 + 1/3*y**3. Let q(n) = 4*n**3 - 5*n**2. Calculate 15*p(g) + 3*q(g). -3*g**3 Suppose 3*d + 56 = 7*d. Let i(s) = -4*s + 0*s - s - 3*s. Let n(v) be the first derivative of -v**2/2 + 2. Calculate d*n(f) - 2*i(f). 2*f Let r = -12 + 12. Suppose 5*q + r*q = -55. Let w(z) = 4*z - 10*z - 8*z - 14. Let f(k) = 5*k + 5. Determine q*f(a) - 4*w(a). a + 1 Let u(q) be the second derivative of q**3/6 + 2*q**2 - 9*q. Let n(l) = -2. Calculate -5*n(o) - 2*u(o). -2*o + 2 Let n be (-62)/(-5) + 4/(-10). Let t(b) = 14*b + 12. Let z(o) = 11*o + 11. Let y(h) = 7*h + 7. Let w(v) = 8*y(v) - 5*z(v). Give n*w(g) - t(g). -2*g Let f(l) = 5*l**3 + l**2 + 8. Let w(z) = -z**3 - 1. What is f(y) + 6*w(y)? -y**3 + y**2 + 2 Let m = -7 - -10. Let r(p) = -m*p + p + p. Let j(d) = -4*d - 2. Let y be (-4)/(-8) + (-3)/2. What is y*j(v) + 2*r(v)? 2*v + 2 Let h(s) = -3*s**3 + 2 - 4*s**3 - 3 + 6*s**3. Let v(j) = 7*j**3 - j**2 + j + 4. Calculate 4*h(d) + v(d). 3*d**3 - d**2 + d Let l(b) = 21*b**2 + 3*b + 8. Let u(i) = 5*i**2 + i + 2. Calculate -2*l(q) + 9*u(q). 3*q**2 + 3*q + 2 Let l(u) = -10*u - 24. Let b(d) = -11*d - 25. Determine -6*b(w) + 7*l(w). -4*w - 18 Let k(s) = -50*s**2 + 15. Let w(g) = 7*g**2 - 2. Determine 4*k(t) + 30*w(t). 10*t**2 Let u(c) = 10*c. Let l(b) = -19*b. Give 6*l(j) + 14*u(j). 26*j Let d = 3 - -11. Let i(f) be the third derivative of -f**4/8 + 7*f**3/6 - f**2. Let l(q) = q - 2. Give d*l(p) + 4*i(p). 2*p Suppose 2*k - 53 + 17 = 0. Suppose 3*l + k = 45. Let y(b) = 3*b**3 + 6*b**2 - 4*b - 2. Let q(v) = 7*v**3 + 13*v**2 - 9*v - 5. Calculate l*y(i) - 4*q(i). -i**3 + 2*i**2 + 2 Let a(i) be the third derivative of 5*i**4/24 - 38*i**2. Let q(v) = 9*v - 1. What is -5*a(c) + 3*q(c)? 2*c - 3 Let a(g) = -g**3 + 2*g**2 - 16*g + 3. Let m(n) = -n**2 + 16*n - 2. Give 2*a(z) + 3*m(z). -2*z**3 + z**2 + 16*z Suppose 0 = -2*s - 1 - 3. Let v(d) = -d**2. Let g(h) = 8*h**2 + 2*h - 2. Let i(c) = g(c) + 3*v(c). Let f(m) = -16*m**2 - 7*m + 7. Determine s*f(l) - 7*i(l). -3*l**2 Suppose 7 = 2*c + 3. Let x(t) be the second derivative of 13*t**4/12 + 9*t**2/2 + t. Let i(j) = -j**2 - j**2 - 2 - j**2 + 0. Calculate c*x(h) + 9*i(h). -h**2 Let s(n) = 4*n + 2. Let u be ((-1)/(2/(-26)))/(25/(-50)). Let c(y) = 17*y + 9. Let w = 14 - 8. Determine u*s(h) + w*c(h). -2*h + 2 Let s(r) = -r**3 - 2*r**2 + 5*r + 5. Let c(l) = 2*l**2 - 4*l - 4. What is 5*c(o) + 4*s(o)? -4*o**3 + 2*o**2 Let x(r) = 6*r**3 - 4*r**2 + r - 1. Suppose 0 = -2*k - 4*k - 6. Let p(f) be the third derivative of -f**6/120 + f**5/60 + 2*f**2. Calculate k*x(i) - 4*p(i). -2*i**3 - i + 1 Let d(r) = -r + 1. Let w(m) = m**3 - 3*m**2 - 6*m + 6. Determine -6*d(u) + w(u). u**3 - 3*u**2 Let m(f) = 2*f**2 + 0 + 5*f - 4 - f**2. Let j(v) = v**2 + 6*v - 5. Give 5*j(w) - 6*m(w). -w**2 - 1 Let b(x) = 3*x**2 - 6*x. Let m(u) = -9*u**2 + 17*u. Let t be (-1 - 3) + 12 + 3. Calculate t*b(w) + 4*m(w). -3*w**2 + 2*w Let g(f) = -4*f. Let p(h) = -h - 1. Give -g(i) + 2*p(i). 2*i - 2 Let f(s) = 2*s - 5. Let l(q) be the first derivative of q - 66. Give -f(b) - 6*l(b). -2*b - 1 Suppose 2*k - 29 = 45. Let y = -21 + k. Suppose -5*f + 71 - y = 0. Let n(m) = 6*m + 2. Let a(q) = -17*q - 6. Determine f*n(z) + 4*a(z). -2*z - 2 Let l(z) = z**2 - z - 1. Let f(m) = -2*m**2 + 2*m. Let d(v) = -v**2 + v. Let i(j) = -5*d(j) + f(j). Calculate -i(q) + 2*l(q). -q**2 + q - 2 Let t(h) = 3*h. Let b(f) = 12*f. Let c be (-15)/9 - (-2)/(-6). Give c*b(g) + 9*t(g). 3*g Let z(c) = -22*c**3 - 14*c - 14. Let w(s) = 7*s**3 + 5*s + 5. Give -14*w(x) - 5*z(x). 12*x**3 Let i(j) be the first derivative of -15*j**4/4 + 12*j**2 - 24*j + 25. Let m = -82 - -58. Let b(z) = -3*z**3 + 5*z - 5. Give m*b(t) + 5*i(t). -3*t**3 Let b = 79 + -77. Let d(z) = 4*z**2 + 9*z + 4. Let a(t) = -t**2 - 2*t - 1. What is b*d(i) + 9*a(i)? -i**2 - 1 Let z(f) = -f**2 + 3. Let l(h) = 3*h**2 + h - 7. What is 3*l(a) + 7*z(a)? 2*a**2 + 3*a Let h be -2*(1 - 0) - -5. Suppose -14 = -5*j + 3*j. Let u(s) = 2*s**3 + s**2 + 5. Let o(y) = -4*y**3 - 2*y**2 - 11. What is h*o(n) + j*u(n)? 2*n**3 + n**2 + 2 Let v(d) = -4*d - 1. Suppose -4*x + 4*i - 5 = 7, 0 = 3*x - i + 9. Let l(k) = -3*k. Determine x*l(q) + 2*v(q). q - 2 Let l(r) = -5*r**3 - 4*r**2 + 2*r + 3. Suppose 6*k = 9*k - 9. Let o(j) = -j**3 - k + j - 2 + 3 - j**2 + 3. Give -l(n) + 3*o(n). 2*n**3 + n**2 + n Let q(f) = -16*f**3 + 5*f**2 + f. Let m(w) = -w**3 + w**2. Determine 3*m(u) - q(u). 13*u**3 - 2*u**2 - u Let r = -7 + 2. Suppose -m = m. Suppose 2*c = 5*q - 3*c + 15, m = -3*q - 4*c + 26. Let t(h) = 3*h + 5. Let v(a) = a + 2. What is q*t(z) + r*v(z)? z Let q(t) = 0*t + 2*t - 2 + 5 - 3*t. Let w = 0 - 2. Let a(d) = d**2 - 1. What is w*a(z) - q(z)? -2*z**2 + z - 1 Let r(a) = -a**2 - 8*a - 6. Let j(f) = -2*f**2 - 9*f - 7. Give 6*j(l) - 7*r(l). -5*l**2 + 2*l Let i = 49 + -43. Let g(p) = 8*p**3 - 8*p**2 - p. Let k(j) = -9*j**3 + 9*j**2 + j. Calculate i*k(o) + 7*g(o). 2*o**3 - 2*o**2 - o Let a(m) = -m + 1. Let z(g) = -4*g + 9. Give 2*a(d) - z(d). 2*d - 7 Let x(q) = -2*q - 12. Let y(d) = -5*d - 25. What is 9*x(z) - 4*y(z)? 2*z - 8 Let t(i) = -6*i**2 + 39. Let h(w) = -4*w**2 + 26. Determine 7*h(l) - 5*t(l). 2*l**2 - 13 Let a(h) = h + 4. Let z(u) = -u - 3. Calculate 5*a(m) + 6*z(m). -m + 2 Let a(g) = -3*g**3 - 6*g + 6. Let v(k) = -9*k**3 - 17*k + 17. Calculate -17*a(f) + 6*v(f). -3*f**3 Let x(q) = 8*q - 1. Let r(w) = w. Let d = -25 - -19. Give d*r(y) + x(y). 2*y - 1 Let l(u) = 4*u + 3. Let s(a) = -a**3 + 4*a - 1. Let t be s(-3). Let p(q) = 9*q + 7. Give t*l(w) - 6*p(w). 2*w Let v(n) = 3*n**3 - 7*n**2 + 13*n + 16. Let l(r) = r**3 + 7*r**2 - 2*r - 21. Let k be l(-7). Let b(t) = t**3 - 2*t**2 + 4*t + 5. Give k*b(c) + 2*v(c). -c**3 - 2*c - 3 Let p(d) = -5*d - 9. Let m(x) = 11*x + 18. What is -3*m(b) - 7*p(b)? 2*b + 9 Let l(j) = 10*j**2 + 12*j + 10. Let s(v) = 3*v**2 + 4*v + 3. Calculate 2*l(p) - 7*s(p). -p**2 - 4*p - 1 Let b(v) = 4*v - 3. Let o be (-3)/(((-1)/(-2))/(-1)). Let d(h) = -11 + 12*h - 4*h + 7*h + 0. Calculate o*d(m) - 22*b(m). 2*m Let b(c) = 25 - c + c**2 - 24 + 2*c. Let m(f) = 3*f**3 - f**2 - 2*f - 2. Calculate b(h) + m(h). 3*h**3 - h - 1 Let g(c) = -c + 1. Let r be (0/4)/(0 + 1). Suppose -t - 3*t - 4 = r. Let j(z) = 6*z - 7. What is t*j(b) - 5*g(b)? -b + 2 Suppose -2*g - t - 5 = 5, -5*g - 25 = t. Let m(l) = 2 - 1 + 46*l - 51*l. Let p = -5 + 8. Let b(n) = -9*n + 2. Give g*m(v) + p*b(v). -2*v + 1 Let f(j) = 5*j**2 + 46*j - 5. Let z(a) = 2*a**2 + 23*a - 2. Calculate -3*f(i) + 7*z(i). -i**2 + 23*i + 1 Let w(q) = q**2 + 1. Let a(t) = -12*t**2 - t + 3. Give -a(v) + 2*w(v). 14*v**2 + v - 1 Let o(k) be the first derivative of -5*k**4/4 + 2*k**3/3 + 1. Let u(n) = -6*n**3 + 3*n**2. Determine 3*o(l) - 2*u(l). -3*l**3 Let y(h) = -31*h**3 + 3*h**2 - 3*h + 3. Let g(f) = -1768*f**3 + 170*f**2 - 170*f + 170. Determine 3*g(x) - 170*y(x). -34*x**3 Let t(y) = -4*y. Let c(z) = -z**3 + 4*z**2 + 2*z - 3. Let j be c(4). Let l(w) = 5*w. Determine j*l(v) + 6*t(v). v Let v(j) = -j + 1. Let u(x) = 6*x - 5. Let t(y) = u(y) + 5*v(y). Suppose 0 = -z - 0 + 1. Let d(c) = -4*c + z - 3 + 3. What is -d(s) - 5*t(s)? -s - 1 Let b(n) = n**3. Let a(z) be the second derivative of z**5/4 - 16*z. Calculate -5*a(x) + 30*b(x). 5*x**3 Let o(q) = -q + 16. Let h be o(18). Let a(k) = k**2 + k - 1. Let z(d) = d + 1. Give h*a(s) + 2*z(s). -2*s**2 + 4 Let l = -2 + 3. Let g = -14 - -10. Let z(k) = 2*k - 5. Let f(y) = -1. Determine g*f(a) + l*z(a). 2*a - 1 Let w(l) = l**2 + 2*l + 4. Suppose 4*o - 26 = -2*y, y - 5*o = -y - 19. Let t(i) = i**2 + 3*i + 5. Give y*t(k) - 4*w(k). -k**2 + k - 1 Let c(a) = -2*a**3 - 4*a**2 + a - 5. Let k(h) = -3*h**3 - 6*h**2 + h - 8. Give 8*c(o) - 5*k(o). -o**3 - 2*o**2 + 3*o Let b(q) = 5*q**2 - 5*q - 4. Let h(r) = 9*r**2 - 9*r - 7. Let j be (6*(-2)/4)/1. Determine j*h(u) + 5*b(u). -2*u**2 + 2*u + 1 Let g(w) = 6*w**3 + 4*w**2 + 2. Let q(k) = k**2 + 3*k - 7. Let l be q(-5). Let t(h) = 0*h**2 + 0*h**2 + 0*h**2 + h**l + h**2. Calculate g(v) - 4*t(v). 2*v**3 + 2 Let x(n) be the first derivative of -2*n**3/3 + n**2/2 - n - 10. Let r(a) = 8*a**2 - 4*a + 4. What is 2*r(z) + 9*x(z)? -2*z**2 + z - 1 Let a(n) = -4*n**2 - n + 1. Let x(l) = -2*l + 4*l**2 + 2*l - 1 + 3*l**2 + l. Calculate -5*a(
{ "pile_set_name": "DM Mathematics" }
4. 112892*l**4 Expand (-218*w**2 + 8688 - 8688)*(-4*w - 3 - w + 1)*(-1 - 1 + 5). 3270*w**3 + 1308*w**2 Expand 376*u**2 + 74*u**5 - 376*u**2 - 11*u**5 - 4*u**3 + 141*u + 6*u**5 - 140*u + (2*u**3 + 1 - 1)*(-2*u**2 - u**2 + 5*u**2). 73*u**5 - 4*u**3 + u Expand (491976*t**3 - 91*t**4 - 23*t - 491976*t**3)*(-4*t + t + t). 182*t**5 + 46*t**2 Expand (3 - 3 + 1)*(-4 + 4 - 9*r + (0 - 1 + 10)*(0*r + r + 2*r)). 18*r Expand (-b + 4*b - 5*b)*(-3*b + 9*b - 15*b)*(-89 - 149 - 200 - 328). -13788*b**2 Expand (-5*w + 0*w + 4*w)*(2 + 4 - 5) + w + 2*w - 2*w + (-1 + 3 + 0)*(0 + 0 + w) + 2078*w + 2002*w - 580*w + 4061*w. 7563*w Expand (-16 + 276586*n**2 - 138295*n**2 - 117*n**3 - 138291*n**2)*(-9*n + 2*n + 0*n). 819*n**4 + 112*n Expand (-3*f**2 - 3*f**2 + 14*f**2)*(f + 4*f - 2*f)*(-76*f - 369 + 369). -1824*f**4 Expand (j - j - 2*j)*(3 - 3 - j) - 2*j**2 + 0*j**2 + j**2 - 5658 - 2*j + j**2 + 5658. 2*j**2 - 2*j Expand -m**3 + m**3 - m**3 + (2*m**2 - 3*m**2 + 0*m**2)*(m + 2*m - m) - 2*m**3 + 4*m**3 + 0*m**3 + 2*m**3 + 0*m**3 + 0*m**3 + 2392 - 124*m**3 - 2392. -123*m**3 Expand -2*f**2 - 2*f**5 + 2*f**2 + (-160*f**2 + 118*f**2 + 436*f**2)*(-5 - 3*f**3 + 5). -1184*f**5 Expand (o**3 + 0*o**3 + o**3 - 2*o**2)*(-2*o + 3*o + o)*(115 - 252 - 167). -1216*o**4 + 1216*o**3 Expand s**2 + 3*s**2 + 11*s**2 - s**2 + 4*s - 4*s + (2*s - 3*s + 0*s)*(-1 - s + 1) - 2*s**2 + 1 - 1 + (51*s + 61*s - 124*s)*(0 + 0 - 3*s). 49*s**2 Expand (g + 2 - 2)*(-g**3 + 0 + 0) - 547*g**4 - 840*g**4 + 2322*g**4. 934*g**4 Expand (1 + 2 - 2)*(-m + 0*m + 3*m) + 80071 - 1284*m - 80071 + (-3*m + 2 + 2*m - 4*m)*(1 + 0 - 5). -1262*m - 8 Expand (-27 + 36*h + 27)*(-6*h**4 + 18*h**4 + 10*h**4). 792*h**5 Expand (w**2 + 3*w**2 - 2*w**2 - 2*w + 2*w + w**2 + (0*w + 0*w - 2*w)*(w - w - w) + 1 - 1 + 2*w**2)*(-12 - 6 + 50). 224*w**2 Expand 2*z + z**5 - 2*z + (3*z**2 + 2*z**2 - 3*z**2)*(-3*z**3 - 22*z**3 - 6*z**3). -61*z**5 Expand (1 + m - 1)*(1 - 2 + 0)*(7499 - 7496 - 4*m + m). 3*m**2 - 3*m Expand 2*a**2 - 3*a**2 + 3*a**2 + (-999*a**2 - 61*a**2 - 621*a**2)*(-1 - 5 + 4). 3364*a**2 Expand 3*g - 1 + 1 + (-2 - g + 2)*(-1301 - 1389 + 612) + (-4*g - 1 + 1)*(-1 + 0 + 3). 2073*g Expand 2*y**5 + 0*y**5 - y**5 + (2*y**5 - 2*y**2 + 2*y**2)*(3 - 3 - 2) - 5*y**5 - 3*y**5 + 2*y**5 + (274 - 274 + 5*y)*(-13 + 13 - 3*y**4). -24*y**5 Expand (-3 + 3 + 1)*(l - 4*l + 2*l) + 0 + 2*l + 0 + (4 - 4 - l)*(0 - 2 + 1) + 0 + 3*l + 0 - 11*l - 24*l - 57*l. -87*l Expand -20*w**2 - 6*w**2 + 42*w**2 + (w + 2*w - w)*(-3*w + 0*w + 2*w) + (3 - 3 + w)*(-w - 1 + 1). 13*w**2 Expand -37*t + 167*t - 5*t + 0*t - 3*t + t + (2 + 2 - 3)*(-t - 1 + 1) + (-2 - 1 + 0)*(-6*t + 4*t - t). 131*t Expand (5 - 2*a + 4 - 4)*((2 - 5 + 1)*(10 - 3 - 82) + 2 + 0 + 0). -304*a + 760 Expand (-2 - k - k + 5)*(3886*k + 621*k**2 - 3886*k). -1242*k**3 + 1863*k**2 Expand (-2*m + 7*m**2 + 2*m + (2*m - 4*m + m)*(0*m + m + m) + 2 - 2 - 2*m**2)*(-2 + 2 + 2). 6*m**2 Expand 3*j**2 - 3*j**2 - 3*j**2 + (12 - 2 - 6*j - 7)*(0*j - 8*j - 3*j). 63*j**2 - 33*j Expand (p + p - 3*p)*(-6697*p - 6385*p + 12372*p)*(3 + 2 - 3). 1420*p**2 Expand (b**2 + 2*b**2 - 4*b**2)*(-18*b**2 - 35*b**2 + 3*b**2)*(-6*b + 3*b + b). -100*b**5 Expand (5*w + 9*w + 9*w)*(18 + w**3 - 22 + 9). 23*w**4 + 115*w Expand (5*d - 4*d + 6*d)*(-820 + 199 - 548 + 249)*(3 + d**3 - 3). -6440*d**4 Expand (-r**2 - 5*r + 1 + 3*r + 4*r)*(-287*r + 42 - 42). 287*r**3 - 574*r**2 - 287*r Expand (g**3 + 2 - 2)*(453 + 326 + 95 + 256). 1130*g**3 Expand (1 - 1 + 2*o)*(3*o**4 + o**4 - 3*o**4) + 9592*o**5 - 3240*o**5 - 4944*o**5. 1410*o**5 Expand (1 - 1 + 2*j + (5 - 3 - 3)*(0*j + j - 3*j) + j - 5*j + 3*j - j + 2*j - 3*j + 3*j - 4 + 4)*(43*j**2 - 45*j**2 - j + 8*j)*(2*j + 4*j + 6*j). -96*j**4 + 336*j**3 Expand (-29*v**3 - 325*v + 325*v + (-3*v**3 + 5*v**3 - 3*v**3)*(4 - 6 - 1))*((0*v - 2*v + 0*v)*(-4 + 0 + 2) - 2 + 5 + v - 3*v). -52*v**4 - 78*v**3 Expand 1 + 11*l**4 - 1 + (1 - 2 - 1 - 6*l)*(-2*l + 5*l - 2*l)*(5*l**2 - 5*l**2 + 9*l**2). -43*l**4 - 18*l**3 Expand 98981*s**2 - 446*s**4 - 98981*s**2 + (2*s - 4*s + 0*s)*(-2 - 2*s**3 + 2) - 17*s**2 + 17*s**2 - 2*s**4. -444*s**4 Expand (5*k + 2*k - 3*k)*(-139 + 211 - 124) + 6*k - 7*k + 3*k. -206*k Expand (-5 - 15 - 14)*(3 + 1 - 2)*(17*i - 5*i + 24*i)*(-5 + 3 + 1). 2448*i Expand ((1 - 5 + 2)*(0 + 4 + 1) + 0 - 2 + 3 + 1 - 3 + 5 + (-2 + 0 + 6)*(-2 + 4 + 0) - 2 - 3 + 1)*(-3 + l**4 + 3). -2*l**4 Expand (4*j - 4*j - 2*j)*(13*j**3 + 8416*j**4 + 8424*j**4 - 16855*j**4). 30*j**5 - 26*j**4 Expand (7*u - 3*u - 2*u)*(647*u - 267*u + 1851*u) + (-3 - 4*u + 3)*(2*u - u + u). 4454*u**2 Expand (-3 - 2*p + 3)*(-5*p + 2*p + 4*p) + (-1325*p - 982234 + 982234)*(-5*p + 2*p + p). 2648*p**2 Expand (-4 - 1 - 3)*(-b - 3*b + 3*b)*(8*b**2 - 12*b + 1 + 30*b - 7*b). 64*b**3 + 88*b**2 + 8*b Expand (-g**2 + 5*g**2 - 3*g**2)*(-12938*g**3 - 30328*g**2 + 30328*g**2). -12938*g**5 Expand (-4*t**2 + 4*t**2 + 4*t**3 + (3*t + 4*t - 6*t)*(t**2 - 2*t**2 - 4*t**2) + 2*t**3 + 0*t + 0*t)*(0*t**2 + 0*t**2 + 3*t**2) + 2 + 3 - 5 + 9*t**5. 12*t**5 Expand (267*g**2 + 1826*g**2 - 956*g**2 + 2*g)*(g + 3*g - 2*g). 2274*g**3 + 4*g**2 Expand (2 - 7 + 3)*(4*q + q - 3*q)*(-2*q + 19*q + 0*q) + (-2 + 0 + 0)*(-2*q**2 + 0*q**2 + q**2). -66*q**2 Expand 1 - 3*u**5 - 1 - u**5 - 2*u**5 + 5*u**5 + (u**4 + 0*u + 0*u)*(-40*u - 38*u + 85*u) - 87*u + 193*u - 3*u**5 - 94*u. 3*u**5 + 12*u Expand (-2*x**2 - x**2 + 5*x**2)*(3*x**2 - 3*x**2 - 2*x**2)*(-928*x + 4100 + 4093 - 8190 - 1710*x). 10552*x**5 - 12*x**4 Expand (2*d + d**2 - 2*d)*(-940*d**2 + 268*d**2 + 7 - 559*d**2 - 468*d**2). -1699*d**4 + 7*d**2 Expand (-2*y**5 - 5*y**3 + 5*y**3 + y**5 - 2*y**5 - y**5 + (0*y - 2*y + 0*y)*(0*y + 4*y**4 + 0*y))*(-23 + 47 + 50 + 71). -1740*y**5 Expand -4*b + 3*b - 28*b**5 + b**5 + (-54*b**5 + 1094*b**3 - 1094*b**3)*(-4 + 0 + 1) - b**4 - b**5 + b**4. 134*b**5 - b Expand (-16 + 35 - 15)*(0 - 1 + 4)*(2 + 5 - 1)*(0 - 3 + 1)*(2*w**4 + w**4 - 2*w**4)*(0 - w + 1 + 1). 144*w**5 - 288*w**4 Expand (144*u + 260*u + 635*u)*(-u + 0*u + 4*u). 3117*u**2 Expand ((-1 + 1 + 2)*(5 - 2 - 1) - 1 + 3 + 7)*(8 + 324*n**2 - 324*n**2 - 3*n**3)*(5*n - 3*n - 3*n). 39*n**4 - 104*n Expand (-38 + 79 + 96)*(-9 - 73*x + 37*x + 38*x). 274*x - 1233 Expand (-647 - 696 + 5*h + 1064)*(-3 + 5 + 0). 10*h - 558 Expand (-3*n - n + 2*n)*((-10 + 32 - 3)*(51*n**2 + 4733 - 4733) - n - 2*n - 2*n**2 + 2*n). -1934*n**3 + 2*n**2 Expand (-6 + 6 - 6)*(13 + 5383*a - 5388*a + 10)*(-2*a - 2 + 2 + (2 + 4 - 5)*(-2*a + 5*a + a)). 60*a**2 - 276*a Expand -2*q + 5*q - 2*q + (4 - 1 + 0)*(2 - 2 + q) + (-2 + 5 - 1)*(2*q - 5*q + q) + q + 3*q - 2*q + 665*q + 61*q - 69*q. 659*q Expand 16*p**5 - 2*p**2 - 10*p**5 - 25*p**5 - p**4 + ((30*p**3 + 38*p**3 - p**3)*(4*p - 3*p - 2*p) - 3*p**4 + p**4 + 3*p**4)*(2*p - p - 4*p). 179*p**5 - p**4 - 2*p**2 Expand (-5 + 3 + 0)*(-3*m**2 + 0*m**2 + 4*m**2) + 0*m - 306*m**2 + 324*m**2 - 4 + 2*m - 17. 16*m**2 + 2*m - 21 Expand (9*b**3 - 164*b**3 + 2440*b**2 - 2432*b**2)*(-3*b**2 - b**2 + 3*b**2). 155*b**5 - 8*b**4 Expand (343 + 544 + 32*b - 1028)*(5*b**3 + b**3 - 4*b**3). 64*b**4 - 282*b**3 Expand (-g + 0*g - g)*(-g + 3*g + 0*g) + 561*g**2 - 1527*g**2 - 3655*g**2 - 766*g**2 - 688*g**2. -6079*g**2 Expand (2*y + 3*y - 3*y)*(5 - 1468*y**2 - 10333*y**2 + 1 - 6 + 0). -23602*y**3 Expand (14*z - 44*z + 71*z)*(z**3 + z**2 - z**2)*(9 - 4 + 1). 246*z**4 Expand (5*o**3 - 2*o**3 + o**3)*((o - 2 + 2)*(36 + 25 - 36) - 4*o + 77 - 77). 84*o**4 Expand (-o - 2*o + 2*o)*(-2 + 7 - 1)*(167 + 144 - 330 + o**2 + 3*o**3). -12*o**4 - 4*o**3 + 76*o Expand (-20*n - 12 + 12)*(-439 - 440 + 871). 160*n Expand (27*y - 27*y - 15*y**4)*(-49*y - 76*y + 36*y). 1335*y**5 Expand (5 - 47*p**2 - 4 - 1 - 41*p**2)*(284 - 284 - 6*p). 528*p**3 Expand (-3*f + 9*f + 6*f)*(676*f**2 - 1204*f**2 + 654*f**2). 1512*f**3 Expand 2*y**2 + 0*y + 0*y + (-3*y + 5*y - y)*(-2*y + y - 3*y) + 3 + 2*y**2 - 3 + 13*y**2 - 12*y**2 + 32*y**2. 33*y**2 Expand (-9 - 24*h + 9)*(-5 + 5 - 2*h + (-1 - 15 - 4)*(-1 - 3 + 1)*(h + 3*h - 3*h) + 3*h + h - 6*h). -1344*h**2 Expand (-2 + 4 - 3)*(4*h**2 - 3*h**2 + h**2)*(1690 + 1728 - 361). -6114*h**2 Expand (-4*p + 3*p**3 + 4*p)*((0 + 5 - 6)*(2*p**2 - 5*p**2 + p**2) + 2*p**2 - 4*p**2 + 3*p**2 - 448*p + 116*p**2 + 165*p**2 + 450*p). 852*p**5 + 6*p**4 Expand -2*p**5 - 2*p**4 + 3*p**5 + p**4 + (-5224 + 6*p**2 + 9*p**5 + 5224)*(-3 - 2 + 6 + (-2 - 1 + 5)*(-1 - 3 +
{ "pile_set_name": "DM Mathematics" }
is the greatest common factor of x and 56? 14 Let t(n) = -n**2 - 4*n - 1. Let c be t(-3). What is the greatest common divisor of c and 18? 2 Suppose l - 3*o = 2*l, 3*l - 28 = 5*o. Suppose 2*x = l*x - 504. Calculate the highest common divisor of x and 18. 18 Suppose -4*h + 2*y + 86 = 0, 3*y - 7*y - 4 = 0. Let p = -7 - -28. What is the highest common divisor of p and h? 21 Let m = -59 - -87. Calculate the greatest common factor of 14 and m. 14 Let t be (1/2)/((-4)/(-936)). Calculate the greatest common divisor of 13 and t. 13 Let c = -18 + 19. Calculate the highest common factor of 3 and c. 1 Suppose -o + 61 = 6. Suppose o = 6*y - y. Calculate the highest common divisor of 33 and y. 11 Suppose 0 = -4*p + 5*v - 62, -6*p - 4*v = -2*p + 44. Let j be 0 + -1 - (p - 7). What is the highest common factor of j and 57? 19 Let y = -32 + 8. Let n = y - -38. Calculate the highest common factor of 14 and n. 14 Suppose 4*v + 5*n = 463, 0 = 3*v - 0*v - 3*n - 327. What is the highest common divisor of 14 and v? 14 Let v(d) be the second derivative of d**3 + 3*d**2/2 - d. Let g be v(6). Let u be (-13)/(2 + (-6)/2). What is the highest common factor of g and u? 13 Let n be ((-28)/(-6))/((-2)/(-15)). Let l(f) = -15*f - 1. Let s be l(-1). Calculate the highest common factor of s and n. 7 Suppose -4*g - 3*r + 191 = 0, -2*r = -4*g - 64 + 230. Calculate the greatest common divisor of g and 11. 11 Suppose -3*i - 40 = -5*s, -2*s = 2*i - 5*i - 25. Suppose 617 - 17 = s*g. Calculate the highest common divisor of g and 15. 15 Let l be (-12)/(-10)*(-45)/(-3). Let g = l - 7. What is the highest common divisor of 33 and g? 11 Suppose 0 = -5*d + 4*v - 2*v + 43, 2*v = 4*d - 34. Calculate the greatest common divisor of d and 3. 3 Let o(v) = v**2 - 10*v + 19. Let u be o(8). Calculate the highest common divisor of u and 4. 1 Suppose -2*o - 345 = 161. Let b be o/(-4) - 1/4. Let t = -42 + 84. What is the greatest common divisor of b and t? 21 Let r(w) = 12 + 4 - 2*w**3 + 3*w**3 + w - 11*w**2. Let t be r(11). Let m = -17 + t. What is the highest common factor of 40 and m? 10 Let i be (-2 - -1)/((-10)/(-20)). Let x(t) = -17*t + 1. Let n be x(i). What is the greatest common factor of n and 14? 7 Let u be 35/15 - 2/6. Calculate the highest common divisor of 4 and u. 2 Let k(d) be the first derivative of d**4/4 - 5*d**3/3 + 7*d - 2. Let u be k(5). What is the greatest common factor of 7 and u? 7 Suppose 4 = -f, 1 = -3*q - 5*f - 4. Suppose v = -q*d + 15, -2*v + 4*d = -3*v + 15. Let o be 201/v + 4/(-10). Calculate the greatest common factor of o and 13. 13 Suppose -u + 42 = 4*d, d = 3*u - 4*d - 58. Let h = u + -14. Let v = 46 + -22. Calculate the greatest common factor of h and v. 12 Let h(a) = -a**3 + 6*a**2 + 3*a + 6. Let t be h(6). Let j = -46 - -28. Let c = 24 + j. Calculate the greatest common divisor of t and c. 6 Let m = 28 - 1. Suppose -22 - 14 = -2*o. What is the greatest common divisor of o and m? 9 Let h = 113 + -96. Calculate the greatest common factor of 85 and h. 17 Let n(s) = s**3 + 9*s**2 - 12*s - 5. Let z be n(-10). Calculate the greatest common factor of z and 15. 15 Let o = 6 - 4. Suppose -i + o*i = 3. Suppose -2*k = i*k - 490. Calculate the highest common factor of 14 and k. 14 Suppose -5*n - 39 = -3*t, 2*t = -t - 5*n + 39. Suppose -2*l - 2*q - q + 27 = 0, 2*q = -l + t. Calculate the highest common factor of l and 15. 15 Let p = -9 - -10. Let h be p/3 + 118/6. What is the greatest common divisor of 20 and h? 20 Let y be (-15)/(-2) - 3/(-6). Calculate the highest common factor of 12 and y. 4 Suppose -4*p + 181 = 37. Suppose 0*v = z - 5*v - 34, 2*z - 8 = -2*v. Calculate the highest common divisor of z and p. 9 Let v(r) = -r**3 + 6*r**2 + 5*r - 6. Let g be v(6). Calculate the highest common factor of g and 6. 6 Let m = -73 + 163. Calculate the greatest common divisor of m and 10. 10 Let u = -169 - -174. Calculate the greatest common factor of 65 and u. 5 Let p be -10 + (-3 - 2/(-2)). Let s be 0 - -10 - 24/p. Calculate the greatest common factor of s and 12. 12 Suppose -2*g + 42 = -0. Suppose 4*i - 15 = -i. Calculate the highest common factor of i and g. 3 Suppose -70 = -6*g + 4*g. Suppose t + 3*t = 56. Calculate the highest common factor of g and t. 7 Let q(s) = s + 34. Let h be q(0). Suppose -z - 1 + 18 = 0. Calculate the highest common divisor of h and z. 17 Suppose 2*x - 2*b = 62, 0 = 2*x - 5*b + 6*b - 65. Let p be (-1 + -2)*28/12. Let v = p + 15. Calculate the greatest common factor of v and x. 8 Let s = 97 - 88. Calculate the greatest common factor of s and 18. 9 Let s = 15 + -3. Calculate the greatest common factor of 36 and s. 12 Let r be (-6)/(-18) + 52/6. What is the greatest common factor of r and 27? 9 Let z = 100 - 97. Calculate the highest common divisor of z and 6. 3 Let h = -10 - -17. Let v = 12 - h. Let p(l) = 7*l - 6. Let r be p(3). What is the highest common divisor of r and v? 5 Suppose 0*d + 4*d = 64. Calculate the highest common divisor of d and 2. 2 Let c be 3*-2*27/(-18). Calculate the highest common factor of c and 18. 9 Let m(k) be the third derivative of -k**4/24 - 5*k**3/6 - 4*k**2. Let n be m(-9). What is the highest common divisor of 32 and n? 4 Let p be (-5)/(100/(-24))*(7 - 2). What is the greatest common factor of p and 30? 6 Let r(j) = j**2 + 6*j + 7. Let b be r(-5). Let p be 21 + -1 + (0 - -2). What is the greatest common divisor of p and b? 2 Let d = -111 + 186. Calculate the greatest common divisor of 30 and d. 15 Let i = -4 - 6. Let h be (4/i)/((-5)/50). Let d(z) = 2*z**3 - 6*z**2 + 4*z - 6. Let a be d(h). Calculate the greatest common divisor of 6 and a. 6 Suppose j = 3*j - 4. Suppose 4*g + 0*g - z - 37 = 0, 0 = j*g + 4*z + 4. What is the greatest common divisor of g and 20? 4 Suppose 326 - 68 = 3*c. What is the highest common factor of c and 129? 43 Let f(k) = -6*k - 8. Let u be f(-4). What is the greatest common divisor of u and 4? 4 Let g(p) = -5*p - 2. Let u be g(-4). Let b = 194 - 104. What is the greatest common divisor of u and b? 18 Let u be 5/((-5)/(-2)) + 1. Suppose u*a + 4 = 2*o + a, -3*o - 3*a = 0. Calculate the highest common divisor of 2 and o. 1 Let s(n) = -6*n + 27. Let i be s(-18). Calculate the highest common divisor of i and 45. 45 Suppose -3*y = 2*y - 860. Let j = -95 + y. Calculate the greatest common factor of j and 11. 11 Let o be (56/6)/((-10)/(-45)). Calculate the greatest common factor of 56 and o. 14 Let j(y) = 17*y**3 + y**2. Let w be j(1). Calculate the highest common divisor of w and 198. 18 Suppose -4*t + 0*t + 16 = 0. Let m = 22 - t. Suppose -168 = -4*l - 3*x, l - 3*x - 58 = -1. Calculate the greatest common factor of l and m. 9 Let y be 105/20 - (-3)/(-12). Let j = 27 - 15. Let n = j - y. What is the greatest common factor of 77 and n? 7 Let x = -73 - -78. What is the highest common divisor of 15 and x? 5 Let x(d) = d**2 - d + 4. Let n be x(0). Suppose 3*m + n*s = 16, -4*s + 3 = -1. Let o be (-7)/(-4) + 1/m. What is the greatest common divisor of 6 and o? 2 Let r(n) = n**2 + 8*n - 8. Let c be r(-11). What is the greatest common divisor of 5 and c? 5 Let z(x) = -52*x**3 - x**2 + x + 1. Let k be z(-1). What is the highest common divisor of 17 and k? 17 Suppose j - k = -3*j + 23, 29 = 2*j + 3*k. Suppose -5*d + j = 2. Let g(v) = 3*v - 1. Let q be g(d). What is the greatest common divisor of q and 22? 2 Suppose 5*t + 3*c = 87, 5*c + 7 = t + 3*c. Suppose -2*y + 11 = 5*v, -v + 1 + 8 = -3*y. Calculate the highest common factor of t and v. 3 Let g(c) = -13*c - 2. Let w be g(-1). What is the highest common divisor of w and 99? 11 Suppose 0 = 2*d - 4*p + 6*p - 22, 0 = -4*d - p + 53. Let x = 1 + 31. Let f = x + 24. What is the greatest common factor of f and d? 14 Suppose -4*x + 40 = 2*m, 5*x + 76 = -2*m + 4*m. What is the highest common divisor of 70 and m? 14 Let k(h) = h**2 - h + 46. Let n be k(0). Suppose 5*g + 4*t - t = 3, 4*t - 4 = 2*g. Suppose g = 2*d - n + 4. Calculate the greatest common factor of d and 3. 3 Let f be ((-2)/2)/((-1)/2). Suppose -2*j = -k + 146, -3*k - 3*j - f*j + 383 = 0. What is the greatest common factor of 17 and k? 17 Let c(l) = 104*l**2 + 2*l - 2. Let p be c(2). Suppose -s - p = -3*s. What is the greatest common factor of 19 and s? 19 Let g(k) = 2*k**2 + k**3 - 10*k + 9 - 5*k**2 +
{ "pile_set_name": "DM Mathematics" }
o the nearest 10? 110 Let p = 2475 - 2480.515. Let u = p + 0.145. What is u rounded to zero decimal places? -5 Let g = 415.7551492 + 10.2470608. Let h = 426 - g. What is h rounded to 4 dps? -0.0022 Let j = 47483.8941962 + 0.0058038. Let l = j + -47489.30046. Let a = -5.4 - l. What is a rounded to four dps? 0.0005 Let g = 767 - 767.0347. Let z = g + -1.0583. What is z rounded to one decimal place? -1.1 Let c = -78.54915 - 0.04085. Let i = 1.09 + c. Let k = 60 + i. Round k to the nearest integer. -18 Let k = 47308.0043 + -47311. Let d = k - 37.9985. Let n = d - -41. What is n rounded to three dps? 0.006 Suppose 5 = 5*s - 10, -5*h + 5*s - 5 = 0. Let l be (7/h)/((-8)/2160). Round l to the nearest one hundred. -900 Let g = 9.098288 + -9.1. What is g rounded to 4 decimal places? -0.0017 Let i = 453 - 634. Let r = i + 181.00091. Round r to 4 dps. 0.0009 Let r = -96 + 99.028. Let f = 3 - r. Round f to 2 dps. -0.03 Suppose -176579319 - 38460681 = 28*d. Round d to the nearest one hundred thousand. -7700000 Let t(k) = k + 20. Let h be t(-17). Suppose 0 = h*l + 2*w + 19, l + 2*w - 5 = -6. Round l to the nearest 10. -10 Let d = 292.9 + -294. Let w = -0.015 + -1.465. Let z = d - w. Round z to 1 dp. 0.4 Let g = -5 - -4. Let j be (42103 - (7 + -3))/g. Let y = 122099 + j. Round y to the nearest 100000. 100000 Let m be -1 + 1 + 5 + -3. Suppose -4*p + 18 = -m, 3*n - 5*p = -25. Suppose n = 3*x - 0*x + 546000. Round x to the nearest ten thousand. -180000 Let g = -31 - -1. Let a = -31.33 - g. Round a to 1 dp. -1.3 Let k = 88 + -34. Let i = 54.04 - k. What is i rounded to one decimal place? 0 Let g = 6.46 + -950.76. Round g to the nearest 100. -900 Let f = -0.79231 - 1.06437. Let n = -1.86 - f. Round n to three decimal places. -0.003 Let r = 3.53172 - 3.53. What is r rounded to 4 dps? 0.0017 Let v = -18511976 - -18511973.89999905. Let h = 2.1 + v. What is h rounded to 7 decimal places? -0.000001 Suppose 5*n + 0*h = -h + 25, 5*n - 3*h - 45 = 0. Suppose -n*l = -5*l + 900000. Round l to the nearest 100000. -900000 Let f = -260.93 + 259. Let n = f + 2.128. Round n to two decimal places. 0.2 Let z = -2342291.1999987 - -2342291. Let g = -0.3 - -0.5. Let d = z + g. Round d to 6 dps. 0.000001 Let d = 18 + -17.88. Let k = 0.37046 + -0.4905. Let p = k + d. Round p to four decimal places. 0 Let c(v) = 195*v**2 + 5*v + 10. Let s be c(-6). Let l = s - 2500. Round l to the nearest one thousand. 5000 Let c = 3831 + 1630. Let n = c - 11861. What is n rounded to the nearest one thousand? -6000 Let a = 0.016 + 10.984. Let c = 1347220.00001 - 1347209. Let w = a - c. What is w rounded to four dps? 0 Let z = 864.399 + -864. Round z to one decimal place. 0.4 Let r be 36/15*(-420)/8. Let m = r + 103. What is m rounded to the nearest 100? 0 Let m be (-152)/10*6510/(-84). What is m rounded to the nearest one thousand? 1000 Let i = 1481448.559 + -1482308. Let a = i - -859. Let w = a + -0.019. What is w rounded to 1 dp? -0.5 Suppose 15*p - 1397 = 2278. Suppose -4*d + d + 63 = 0. Let c be (p/d)/((-2)/(-24)). What is c rounded to the nearest 100? 100 Let n = -8212 - -27162. What is n rounded to the nearest one thousand? 19000 Let v = -1.1 - -0.3. Let f = 14.8 + v. Let k = 14.000038 - f. What is k rounded to 5 dps? 0.00004 Suppose 14*z - 7*z = 28. Suppose -c = -z*k + 4404767 - 16484772, 9059980 = -3*k - 4*c. Round k to the nearest 100000. -3000000 Let o = 11766.302 + -11729.302002. Let q = 37 - o. What is q rounded to 6 dps? 0.000002 Suppose 0*o + 3*o + 2343 = 2*g, 4*o + 5*g + 3147 = 0. Suppose 4*k - 2703 = -9315. Let h = o - k. What is h rounded to the nearest 100? 900 Let h be (12/(-10))/(42/(-280)). Suppose 2*v + h = 4*v. Let p be (3 - v) + 1*-85999. What is p rounded to the nearest ten thousand? -90000 Let o(q) = -q - 1. Let p(r) = 6*r - 69. Let b(s) = 3*o(s) + p(s). Let d be b(18). Round d to the nearest ten. -20 Let s = 0.0648191 + -0.0648. What is s rounded to six dps? 0.000019 Let u = 81.28 - 94.828. Let x = u + 0.048. Round x to 0 dps. -14 Let a be (2 - 2)/(7 + -4). Suppose 2*r + 168918 = 4*g + 23704, -3*r - 15 = a. Suppose 2*i = 2, 2*c = 5*c - i + g. What is c rounded to the nearest 1000? -12000 Let c = -49.89082 + 49.96. Round c to 2 dps. 0.07 Let q = 10.310000767 + -10.31. Round q to seven dps. 0.0000008 Let r = -0.1873 + 1240.1873. Let g = r - 1234.09. Let j = g + -0.51. What is j rounded to 0 decimal places? 5 Let v = 158.6493261 + -158.65. Round v to 4 decimal places. -0.0007 Let f = -46 - -49. Suppose f*l - 278 = -5*n, 0*n + 4*n = 3*l + 217. Round n to the nearest 10. 60 Let g = 748.998811 + -749. What is g rounded to 4 decimal places? -0.0012 Let c = 110 - 105. Suppose 14799994 = -c*n + 3*h, -2*n - 4*h = -6*n - 11839992. What is n rounded to the nearest 1000000? -3000000 Suppose h + a - 4*a + 20 = 0, 3*h - 2*a = -25. Let w(i) = -5*i - i + 1 + 2 - 3*i**2. Let z be w(h). What is z rounded to the nearest 10? -40 Let s = 304 + -305.677. Let v = 0.147 + s. Let y = -0.13 - v. Round y to the nearest integer. 1 Let z = 3726.80032 + -3744.80032056. Let r = -38 - -20. Let m = r - z. What is m rounded to seven dps? 0.0000006 Let v = 5 - 1. Let p = -4.0000015 + v. Round p to six decimal places. -0.000002 Suppose 5*m = -2*y - 4, 5*y + 10 = -0*m - 4*m. Suppose 5*u + 119367 = 3*o + 1259342, m = -4*o - 5*u - 1520025. Round o to the nearest one hundred thousand. -400000 Let j = 24249.51539 + -24251.8. Let c = j + -0.01585. Let x = c - -2.3. Round x to 4 dps. -0.0005 Let k(x) = 6*x - 2. Let y be k(2). Suppose -y*q + 210 = -9*q. What is q rounded to the nearest one hundred? 200 Let t = 120.9308 - 120.5. Round t to one dp. 0.4 Let f = 2139.46 - 2163. Let o = f - -24. Round o to 2 dps. 0.46 Let z = 1.112 - 1.0593. What is z rounded to two decimal places? 0.05 Let x = -21.22 - -21. Let p = 0.221 + x. Let t = p + -0.00099913. Round t to seven dps. 0.0000009 Let w = -100 + 122.5. Let v = w + 0.5. Let f = -22.99999986 + v. What is f rounded to 7 decimal places? 0.0000001 Let m = -17.8 + 19.09. Let q = -696.87 - -701. Let z = m - q. Round z to 1 dp. -2.8 Let x = -41.59 - 0.51. Round x to the nearest integer. -42 Let k be (-90)/(-21) + 8/(-28). Suppose 0 = 3*g - 5*p + 137375, -5*g + k*p - 47786 = 181194. Round g to the nearest 10000. -50000 Let x = 7.3 + -7. Let p = 0.34 - x. Let y = -0.0400001 + p. What is y rounded to six decimal places? 0 Let r = 12.7 - 12.6251. What is r rounded to 2 dps? 0.07 Let g = -1.087002645 + 1.087. Round g to 7 decimal places. -0.0000026 Suppose -11*m - 14 = -k - 8*m, 5*m + 40 = 5*k. What is k rounded to 1 dp? 5 Let s(c) = -2294305*c + 135. Let r be s(7). What is r rounded to the nearest 1000000? -16000000 Let z = 724 - 719.27. Let a = z + -236.73. Let d = -222.3 - a. What is d rounded to the nearest integer? 10 Let u be (-114845570)/28*1/((-1)/4). Let n be ((-8)/(-10))/(3/15). Suppose u = n*l + 1606510. Round l to the nearest one million. 4000000 Let t = 3549 - 7279. Round t to the nearest one thousand. -4000 Let k = 64.993 - -0.007. Let u = k - 31. Let z = -32.55 + u. What is z rounded to one decimal place? 1.5 Let f = -7 - 26. Let y = 33.00000044 + f. Round y to seven dps. 0.0000004 Let p = 0.1484435 - -2.2913545. Let m = 2.88 + -0.44. Let f = p - m. What is f rounded to 5 decimal places? -0.0002 Let y = 50 + -22. Let c = -24 + y. Let m = -3.99962 + c. What is m rounded to four dps? 0.0004 Let c = -18 - -11. Let l = -315044 - -315051.00005. Let v = c + l. Round v to 4 dps. 0.0001 Let t = 321 + -321.0013. What is t rounded to 3 decimal places? -0.001 Let j = 46025.547 - 45912. Let g = j - 113. What is g rounded to one decimal place? 0.5 Let m = -440.15 + 471. Let n = 32 - m. Round n to 1 decimal place. 1.2 Suppose 66*u + 38325723 = -8501277. Round u to the nearest 100000. -700000 Let o = 35.2 - 16. Let b = o - 9.1. Round b to the nearest integer. 10 Let h = -10.7 - -24.3. What is h rounded to 0 dps? 14 Let r = 3164.12 - 3217. Round r to the nearest ten. -50 Suppose l = 1 + 1. Suppose -w + 4*q = -92, -l*w - 3*q = w - 216. Round w to the nearest 10. 80 Let l = -14.104 + 13.2. Let z = l + -0.166. What is z rounded to 1 decimal place? -1.1 Let i = 4.368 - 0.068. Let o = -7.296428 - -2.996334. Let r = i + o. What is r rounded to 5 decimal places? -0.00009 Let d = 3277206 - 3
{ "pile_set_name": "DM Mathematics" }
78.23 Work out 26 - -4860371366. 4860371392 Subtract -18 from -10538.8436. -10520.8436 What is -2468370.781 plus -0.09? -2468370.871 Add together -0.1285 and -18270.7. -18270.8285 Calculate 0.076607 - 7512. -7511.923393 -174.8341 - -1872 1697.1659 What is -60 plus -3794897? -3794957 What is -0.08 minus 392956? -392956.08 What is -0.0174501 less than -1226? -1225.9825499 Work out 409133.08 + -2.888. 409130.192 Sum 0.038073 and 5.96. 5.998073 What is 210.2 - 1.3197? 208.8803 Subtract 0.2 from 4991426. 4991425.8 What is -1330365 - 0.27? -1330365.27 Add 0.2 and -394836945. -394836944.8 -0.0758096 + 3 2.9241904 What is 2.71 minus -191925? 191927.71 What is -1545328455 + -11? -1545328466 Add 22 and -64158360. -64158338 What is 0.505 - 363.097? -362.592 Add 40543.7152 and -0.2. 40543.5152 0.1128 - -0.9447 1.0575 0.029 - 105256 -105255.971 Work out -187.52 - 295. -482.52 Calculate -30262890 - -2. -30262888 Calculate -2.220760788 - -4. 1.779239212 Calculate -0.22143 + 2303. 2302.77857 Put together -47 and 317332. 317285 5825513.159+-2 5825511.159 What is 14786 plus 0.0368? 14786.0368 Add together -1498 and 1724300. 1722802 What is -12805 minus 4412.89? -17217.89 Sum 148 and -861. -713 Add -10652858 and 2961. -10649897 What is the distance between -3519858 and -0.008? 3519857.992 Work out -0.02634 - 0.4. -0.42634 Add together -649197434 and 0.03. -649197433.97 What is 116 take away -2255323? 2255439 Work out -4080.398 + -0.02. -4080.418 Sum -7776800159 and 0.3. -7776800158.7 What is -2.019342995 - 0.4? -2.419342995 -13048992 + -230 -13049222 What is 33.28 - -23604? 23637.28 -50+1710880297 1710880247 Work out 14.781 - -41.14. 55.921 What is 0.11847981 take away 0.11? 0.00847981 What is the distance between -0.3646196 and 0.1? 0.4646196 What is 158 less than 151.455? -6.545 Put together 174305 and 10.805. 174315.805 Work out -1 + -92.59104705. -93.59104705 What is the distance between -60481763 and 0.257? 60481763.257 Add together -138960 and -0.024216. -138960.024216 What is -5232 minus 46578? -51810 What is -3514812 take away -2? -3514810 -6 - 0.1262607 -6.1262607 Add 1.136679377 and -0.4. 0.736679377 -0.05 + -11101034361 -11101034361.05 -432355978 - 0.1 -432355978.1 Work out 657.4 + -83346. -82688.6 What is the distance between 874.535 and 2.2? 872.335 Add 762400629 and 0.019. 762400629.019 What is -169881188 take away -1? -169881187 Add together 1.8 and 8360510086. 8360510087.8 What is -0.17 plus 88.9678? 88.7978 3349524 - 221 3349303 Calculate 2.31898376 + -0.7. 1.61898376 Total of 445812.8 and 0.147. 445812.947 What is -1.972 - -51412.73? 51410.758 Sum -357.33 and 0.797134. -356.532866 Calculate -0.124 - -2.01403. 1.89003 What is the distance between -34566578 and 0.3? 34566578.3 Sum -409720430 and -9. -409720439 Sum -9 and 9198.96. 9189.96 4654996+-0.07 4654995.93 Work out 69.97 + -0.15893. 69.81107 Sum -0.13903 and -1.8987. -2.03773 Calculate 5 - -9754909558. 9754909563 Calculate -0.2 - 4791884.228. -4791884.428 -6.3 + 0.3564223 -5.9435777 What is 2944344 take away -68? 2944412 -2.236 + 43241 43238.764 Put together -0.94 and -15354386. -15354386.94 What is the difference between 0.099 and 325747868? 325747867.901 Sum 0.03 and -38271749. -38271748.97 Add together -13.451264 and 1482. 1468.548736 What is 465169 + -23? 465146 Calculate -0.0436 + -1.1359253. -1.1795253 Calculate 1910533 + 8. 1910541 2278.149 + 8092 10370.149 Put together -409911678 and 0.1. -409911677.9 Subtract -0.1039 from -6212935. -6212934.8961 What is 548.05145 take away 7? 541.05145 Total of -3.259 and 222278. 222274.741 Calculate -0.119605 + -0.13. -0.249605 What is the difference between -253736.83 and -0.1? 253736.73 134+255798 255932 Work out 0.1 + 501.7393. 501.8393 Total of 107025 and -212. 106813 Calculate -12.68 - -0.0181619. -12.6618381 Sum 87 and 321004465. 321004552 Work out -9 - 417.8766. -426.8766 What is 0.0122809 + -1236? -1235.9877191 Calculate -0.415 - -44225. 44224.585 Work out -1.230947 - 102.7. -103.930947 -3.7 - -16751881 16751877.3 What is 0.06 + -4.42649? -4.36649 Total of -0.42652724 and -1.1. -1.52652724 What is 1 + 276.51633859? 277.51633859 Subtract -341507 from 1194.9. 342701.9 Calculate -0.5 + 0.040567094. -0.459432906 What is -285389 - -13885.4? -271503.6 Work out -152.467218 + 0.43. -152.037218 What is 2174 take away 75.904? 2098.096 Calculate 3 - 2.292473273. 0.707526727 -12894077+0.027 -12894076.973 Subtract -243668 from 613. 244281 34850.7+200 35050.7 Total of 0 and -26068759430. -26068759430 Add -1 and -6097903017. -6097903018 What is 5650024246 minus 0.02? 5650024245.98 Add 17545.7 and -7.7. 17538 Sum -282 and 0.1196. -281.8804 Calculate 392088 - 0.16. 392087.84 What is the distance between -0.2 and 38302637474? 38302637474.2 -6+-457937 -457943 Add together -10.82868 and 9238. 9227.17132 -786858 + 281.3 -786576.7 Work out -4763891 + -0.1. -4763891.1 Calculate 1610385 - 15.7. 1610369.3 Calculate -83.03 + 0.0546. -82.9754 Work out 0.42016 - 11.09. -10.66984 Put together 209.11 and 0.056. 209.166 -21 - 0.4864142 -21.4864142 Total of 85.50632 and 0.5. 86.00632 0.7116 + 104585 104585.7116 Add together 3791197.6 and -185. 3791012.6 What is -0.000329 take away -521644? 521643.999671 Add 0.18 and 20260151. 20260151.18 -27250526+9 -27250517 What is the distance between 147 and -25743.7? 25890.7 Add together -2.87084 and 249562. 249559.12916 Sum -2.23205 and -1195. -1197.23205 What is -252.441 take away -1578.4? 1325.959 Work out 0.3 + 4058878. 4058878.3 What is -77 - 95292023? -95292100 Sum -36.57 and 493928. 493891.43 Work out -110399.8084 - 7. -110406.8084 Work out -230604135 + -0.1. -230604135.1 What is the distance between 1.29 and -2770543? 2770544.29 What is -5.16 minus 112.544? -117.704 Subtract 52.32158 from 0.08. -52.24158 What is -0.01 + -7047199? -7047199.01 Total of 2.1 and 1245008. 1245010.1 Calculate -4.79558 + -771.7. -776.49558 Work out 275725498.1 + -1.2. 275725496.9 What is 2.46 take away 1.1733238? 1.2866762 What is 3096 minus 98379? -95283 What is 0.1288 take away 0.091771? 0.037029 What is -4.6 + -0.61001? -5.21001 What is 2.2553478662 - -3? 5.2553478662 5.57377159 + -1.6 3.97377159 Add 0.6 and 17079.64. 17080.24 Total of 0.041 and 161969.5. 161969.541 -8 + 1640642 1640634 Work out 3231438 + -2. 3231436 Work out -0.87 - -0.1945522. -0.6754478 -18682 - -707 -17975 Total of -161.3846 and 0.01. -161.3746 Put together -532.47392 and 0.2. -532.27392 What is -4 take away 49288483? -49288487 Add 1224980 and -110. 1224870 What is -486083 take away -7? -486076 Calculate -0.018153778 - 21. -21.018153778 What is 0.1581467766 + 9? 9.1581467766 Add 85 and 13.2422. 98.2422 Total of -1 and 459779253. 459779252 Work out 979.6 + 0.4. 980 -10856+-435403 -446259 Work out 3 - -0.6770516741. 3.6770516741 Sum -3357552 and -6021. -3363573 Put together -4 and -6434112.8. -6434116.8 What is -16262268 minus 79? -16262347 Work out 20717.9 + 0.0768. 20717.9768 Calculate 43503135 + 13. 43503148 Calculate 1.7668 - 18580. -18578.2332 -0.01+13211.64627 13211.63627 What is -21303.5699 + 1.43? -21302.1399 Calculate 0.41 + -2.40444. -1.99444 What is 565.7 less than 235380? 234814.3 Add together -1075946601 and -16. -1075946617 What is -50 - 12548.22002? -12598.22002 What is the distance between -858356445 and -3? 858356442 33.9 + -23.8141 10.0859 Work out -1.0651772 + -0.3. -1.3651772 Add together -12.64611 and -0.049. -12.69511 -1007840 - -9510 -998330 Add -1.5 and -67322270. -67322271.5 Put together 136.1 and -250722. -250585.9 Work out -159.8 - -0.100018. -159.699982 Add together 1.54877 and 0.0017. 1.55047 What is -7 less than 316543608? 316543615 Work out 2.6645978 - -887. 889.6645978 What is 0.0408 less than 1163887? 1163886.9592 -407 - 61206.4 -61613.4 Add together -1766568 and -5.1. -1766573.1 Add 130738 and 0.3359. 130738.3359 Work out -0.01 - -19.65605134. 19.64605134 Subtract 35479648 from 5. -35479643 -3 - 138509 -138512 384455 + -30 384425 Total of -7412188 and 0.5. -7412187.5 What is -0.2 plus 12119248? 12119247.8 Add -1 and -8490642. -8490643 What is -232047234.44 take away 0.1? -232047234.54 What is the distance between 249045.36 and -1.023? 249046.383 Work out -0.47235 + 8318. 8317.52765 Add together 360.1 and 3.93329. 364.03329 -0.3+-17790.615
{ "pile_set_name": "DM Mathematics" }
-0.07, u, -9 in decreasing order. -0.07, u, -9 Suppose 2*n - 3*r = 8, 5 = n - 2*r - 0*r. Let m = -0.7 + 6.7. Suppose -11 - 14 = 5*w. Sort w, n, m in ascending order. w, n, m Let r be 3*1 - (28 - 25) - -3. Sort r, 38, 2 in increasing order. 2, r, 38 Let c = 6 - 6. Suppose -n - 18 = 5*f, -4*f = 4*n - 0*n + 24. Let z(d) = 20*d + 238. Let h be z(-12). Sort c, h, n. n, h, c Suppose -5*t - 12 = -2*t. Let n = -1787 - -1784. Sort t, 0, n in descending order. 0, n, t Let u = -342 + 342. Put u, 9, -4, -5 in descending order. 9, u, -4, -5 Suppose -224 = 3*v + 91. Let i be (v/(-63))/(1/6). Suppose -t - 5*j + i = 0, 3*t - 3*j + 6 = -0*j. Sort t, 3, 4. t, 3, 4 Let s(i) = i**2 - 5*i - 1. Let h be s(4). Suppose 0 = -5*d + 27 + 8. Let l(j) = -j**2 + 6*j + 11. Let o be l(d). Sort -4, h, o. h, -4, o Let r be -3 + 2 - (-15)/(-5). Sort 5, r, -25, -3. -25, r, -3, 5 Suppose -10*h + 13*h + f - 5 = 0, 3*h - 2*f = -10. Put -3, 328, -4, h in decreasing order. 328, h, -3, -4 Suppose 112*a + 31 - 367 = 0. Let b(o) = -15*o + 7. Let m be b(-5). Suppose 5*s = -2*g + m, 0*s + s - 4*g = 12. Put -5, s, a in increasing order. -5, a, s Suppose 5*a = 9*a + u + 20, 2*a - 4*u - 8 = 0. Put -5, -9, a in ascending order. -9, -5, a Let l = -0.499 + 0.899. Put l, 0.3, -0.3, 1 in descending order. 1, l, 0.3, -0.3 Let v = 0.064 + 26.936. Let l = v - 10. Let r = l - 13. Sort 5, r, -3/7. -3/7, r, 5 Suppose 5 + 7 = 2*x. Suppose -x*g + 148 + 32 = 0. Let z be 140/g*(-3)/(-2). Sort 2, -5, z. -5, 2, z Let o be ((-51)/408)/((-3)/2 + 2). Put 10/13, o, 2 in increasing order. o, 10/13, 2 Let a = 31.28 + -28.28. Let u = 0.6 + 3.4. Sort u, a, -3. -3, a, u Suppose -40 = -4*o + l, -35*l + 33*l + 10 = o. Put -3, 3, o, -4 in ascending order. -4, -3, 3, o Let n = 108 - 110. Suppose -6 = 3*o - 6*o. Sort o, -20, n, -1 in decreasing order. o, -1, n, -20 Let q = 22.986 - 23.186. Suppose -4*r = -2*s - 14, 0*s + 5 = 4*r - 5*s. Put r, q, -1/3 in decreasing order. r, q, -1/3 Suppose -15 - 17 = -8*p. Put p, -4, 0.52 in increasing order. -4, 0.52, p Let b be -22*(-4)/1 + 7 + -10. Let m be (-5)/(-2)*102/b. Put -4, 0, -5, m in ascending order. -5, -4, 0, m Suppose 3*o - 7*o = 0. Suppose 0*v - v - i + 6 = 0, -v + 5*i - 18 = o. Let g = 29 - 28.9. Sort g, -2/45, v. -2/45, g, v Suppose n - 4 = 2*s, 27 = 4*n - 2*s + 5*s. Suppose 5*u + 4*r + 12 = 4*u, 5*u - n = 2*r. Let i = -0.03 - 0.27. Sort i, -4, u in decreasing order. u, i, -4 Suppose 5*p + 249 = 6*p. Let h be (-2237)/(-9) - 8/(-12). Let a = p - h. Sort -2/5, a, 1/5 in decreasing order. 1/5, a, -2/5 Let r = 881 + -883. Let j = 0 - 1. Put r, j, 4 in decreasing order. 4, j, r Let i = 13.1 + -16.1. Let n = -0.12 + -0.78. Let k = 0.1 - n. Sort 0, i, k in ascending order. i, 0, k Let r be (0 - -1)*(-3)/((-3)/8). Sort r, -1, 17 in ascending order. -1, r, 17 Let s(c) = c + 5. Let l be s(-4). Suppose -3*i + 24 = 4*o + o, 5*o = 5*i - 40. Sort -5, l, i in descending order. i, l, -5 Let u(l) be the second derivative of l**3/6 - 2*l**2 - l. Let p be u(8). Let x be 6/p*8/6. Sort -3, x, -5 in descending order. x, -3, -5 Suppose 4*x + 4 = 5*n - 21, 4*x = -4*n - 16. Let b be (825/(-5))/(-5) - -4. Let d be (-16)/56 + b/7. Sort 1, x, d in ascending order. x, 1, d Let g be (15/25)/(29/145). Put g, 0, 518 in descending order. 518, g, 0 Let x(s) = -18*s + 255. Let n be x(14). Let j(o) = -o**3 + 2*o**2 + 2*o. Let f be j(2). Sort n, f, -2 in descending order. f, n, -2 Let i = 16.7 + -21.86. Let d = 0.16 + i. Sort 11, -1, d in descending order. 11, -1, d Suppose -c - 11 = 4*j, -3*c - 4 = -4*j - 3. Let h(r) = -53 - r**2 + 22 + 35 - r**3 + 5*r. Let a be h(c). Sort a, -3, -2 in descending order. a, -2, -3 Suppose -12*h - 17 = n - 9*h, -40 = 4*n + 5*h. Sort 5, n, 9. n, 5, 9 Suppose -m - 5*z + 22 = 2*m, 5*z - 2 = 2*m. Suppose 5*p + 18 = 43. Sort m, p, 1 in decreasing order. p, m, 1 Let t(y) = -y + 13. Let p be t(8). Let c = 42 - 48. Sort c, -2, p. c, -2, p Let s = -24.57 + 18.57. Sort -0.03, 3/5, -4, s. s, -4, -0.03, 3/5 Suppose -32 = -165*y + 157*y. Put y, 3, -3, -5 in descending order. y, 3, -3, -5 Let c = -53 + 37. Let l = -0.38 + -20.62. Let n = l - c. Sort 1/4, n, 4 in ascending order. n, 1/4, 4 Let s = 629/14 - 91/2. Let c(r) = 2*r - 5. Let u be c(4). Let h be (-4)/(-90)*-3*u. Sort s, h, -2/9. s, h, -2/9 Let o be (-26)/(-8) - (-2)/(-8). Let n be (3/2)/(o/(-4)). Sort 3, n, 4. n, 3, 4 Let k = -21 - -20. Let z be 8/(-3*k/6). Let v = z + -18. Sort v, 3, 9. v, 3, 9 Let m = 1.7 - -0.3. Let a be ((-2)/(-8) - 1)/(-3). Let x be 28 - 29 - 18/(-8). Sort x, a, m in increasing order. a, x, m Let x(p) = -p - 12. Let n(b) = 4*b + 36. Let z(k) = 2*n(k) + 7*x(k). Let h be z(11). Sort -2, h, 0 in increasing order. -2, h, 0 Let r(z) = -z**3 + 8*z**2 - 8*z + 8. Let a be r(7). Sort 5, 0, a, 12 in decreasing order. 12, 5, a, 0 Let o be (-45*(-15)/100)/((-1)/4). Put 1, o, 4 in descending order. 4, 1, o Suppose 2*u + 0*u - 32 = 0. Suppose -4*a = -8*a - u. Let y = 1181 - 1180. Sort a, 2, y. a, y, 2 Suppose -4*r + 4 = -4*l, r + 8 = 3*r. Let i be 1 - (0 - l - -2). Let a = -4 + 4.2. Sort i, -3/5, a in decreasing order. i, a, -3/5 Let t be (-1 + -7)*(-2)/(-4). Let p = -1528.08 - -1528. Sort 1, t, p in descending order. 1, p, t Let f = 0.0274 - 0.1274. Put -5, 2, f in descending order. 2, f, -5 Let v(w) = 2*w**3 - 13*w**2 - 7*w. Let k be v(7). Sort 4, k, 3. k, 3, 4 Let a = -3 + 3.5. Let x be (25/(-60))/((-120)/128). Sort 4, a, x in decreasing order. 4, a, x Suppose d + 4*l + 9 = 0, d = l + 2 + 4. Let w be (14/(-3))/(2/d). Put -1, w, -4 in decreasing order. -1, -4, w Suppose c = 3, 9 + 7 = -4*x + 4*c. Suppose 0 = -b - 8*m + 4*m + 13, 0 = -2*m + 6. Sort 5, b, -2, x. -2, x, b, 5 Suppose g = -2*s - 27, -g + 4 = -s - 14. Let v be (-3)/15 + (-8)/10. Put s, v, 1 in decreasing order. 1, v, s Let g = -3.5 + 10. Let a = 7 - g. Let f = -4.5 + 1.5. Sort -0.4, f, a in decreasing order. a, -0.4, f Suppose 5*i + 0*i = 60. Let x be -6*8/i*-1. Suppose 0 = 10*k - 17*k + 35. Put 1, x, k in descending order. k, x, 1 Let i be 16/10 + (-2)/(-5). Let c(o) = 2*o**3 + o**2 - 7*o - 6. Let u be c(-2). Put -3/4, u, i in ascending order. u, -3/4, i Let u = -26 - -26.016. Put 0.5, u, -3 in ascending order. -3, u, 0.5 Let t be (2/(-5))/((-4)/10). Let z = -33 - -29. Put -3, t, z, 0 in descending order. t, 0, -3, z Let z = 1.77 - 1.97. Sort 5, 0, 2, z. z, 0, 2, 5 Let w be 25/2*4/5. Suppose w = 3*r - r. Let d be (-16)/(-5) - (-1)/(-5). Put -2, d, r in descending order. r, d, -2 Let z = -13 - -13.12. Let m = z - 0.1. Let r = -0.38 - m. Sort -3, r, -4 in ascending order. -4, -3, r Let q = 468 - 449. Put q, 0.2, 4 in descending order. q, 4, 0.2 Let s = 201/28 - 31/4. Sort 1, -0.017, s in descending order. 1, -0.017, s Suppose 0 = -5*g + 23*g - 36. Suppose -2*j = -4 - 10. Suppose -60 = -4*x + o, -4*x - 3*o = j - 51. Put g, x, 4 in ascending order. g, 4, x Let b = -0.1 - -0.1. Let h = -2.3 - -17.8. Let u = 15 - h. Sort b, u, 2/13. u, b, 2/13 Let c = 485.12 - 485. Sort -0.1, 0.1, -11, c in descending order. c, 0.1, -0.1, -11 Let i = 0.195 - 34.195. Sort -3, i, 2/5 in increasing order. i, -3, 2/5 Let r be ((-6)/27)/((256/240)/8). Put 2, r, -3, -1/5 in ascending order. -3, r, -1/5, 2 Suppose -j = 6*j - 77. Let k(u) = u**2 - 11*u + 4. Let o be k(j). Put o, -3, 6 in increasing order. -3, o, 6 Let j be 36/(-28) - 4/28*-2. Put -24, 0.4, j, 1 in increasing order. -24, j, 0.4, 1 Let q = 0.2 - 5.2. Let y(m) = m**3 + 24*m**2 + 30*m + 29. Let n be y(-23). Let h be -4*(3 - 9)/n. Sort q, h, 0 in ascending order. q, h, 0 Suppose 9*t - 24 = 4*t + 4*m, 0 = t + 3*m - 1. Sort -3, 1, -17, t. -17, -3, 1, t Let c = 2.981 + 0.019. Let d be (-25)/(-10)*(-6)/10. Sort -5, d, c in increasing order. -5, d, c Let s = -3 - -6. Let v(m) = 3*m + 5. Let l be v(5). Let x be 5/18 - 10/l. Sort x, s, 1/3 in descending order. s, 1/3, x Suppose 0*l = 4*l - n + 5, -2*l - 2*n + 10 = 0. Suppose -3*v - z - 114 = 0, 5*v - 2*z - z = -190. Let m be (-7)/42 + v/(-12). Put l, m, -2 in ascending order. -2, l, m Let v = 46 + -42. Put -2/3, v, 2/3, 5 in ascending order. -2/3, 2/3, v, 5 Let j = 494 + -490. Put 1, j, -1, 8 in increasing order. -1, 1, j, 8 Suppose 25*i - 2686 = 2139. Sort i, -4, 2. -4, 2, i Let f be ((-5)/15 - 0)/(3/(-45)). Sort f, 116, -4, 2 in decreasing order. 116, f, 2, -4 Let o = 317 -
{ "pile_set_name": "DM Mathematics" }
2 - 8*a*i*r + 3*a*i - a*r + 5*a + 111*i**2*r + 1702*i*r + 2*i wrt i. 2*a*r - 8998*a + 222*r Find the third derivative of c**2*h**3*v**2 + 480163*c**2*h**3*v - c**2*h**2*v + 12*c**2*h*v**2 - 7*c*h*v - 3*c*v**2 - 39*c*v + 2*h**2 wrt h. 6*c**2*v**2 + 2880978*c**2*v What is the derivative of 5087*r**3 + 242*r - 99671664? 15261*r**2 + 242 What is the derivative of 22084107*c**3*i + 2*c**3 - 2*c**2 + 248*c - 66 wrt i? 22084107*c**3 Differentiate -3*n*p - 312981804*n - 81191726*p wrt p. -3*n - 81191726 What is the third derivative of -2174*b*k**3*p + 2*b*k**3 - b*k**2*p - 1283*b*k*p + 16*b*p + 119*k**3*p + k**3 - 3*k**2*p + k**2 - 5*k*p + 1 wrt k? -13044*b*p + 12*b + 714*p + 6 Find the first derivative of 133035545*k + 372494983. 133035545 Differentiate 10581036*n - 12106225. 10581036 What is the first derivative of v**3*x**2 - 1259610*v**3 + 3838*x**2 - 3*x + 46 wrt v? 3*v**2*x**2 - 3778830*v**2 Find the first derivative of -171176977*u**4 + 61859906. -684707908*u**3 Find the second derivative of -3*h*n**2*w + 14*h*n**2 - h*n - h*w - 10*h - 2*n**2*w - 4730*n**2 + n*w + 3*n - 101*w - 408 wrt n. -6*h*w + 28*h - 4*w - 9460 What is the third derivative of -2*a*r**4 + 3*a*r**3 + 8*a*r**2 - 8*a*r + 3*a + 78*r**4 - 1312*r**3 + 10657*r**2 + 1 wrt r? -48*a*r + 18*a + 1872*r - 7872 What is the second derivative of -9184*b**3 - 308*b**2*k**2 + 2*b*k**2 + 55*b*k + 57*b + 2*k**2 + 113*k + 3 wrt b? -55104*b - 616*k**2 What is the derivative of 17820194*j**4 + 11*j**3 - 2*j**2 - 343510247? 71280776*j**3 + 33*j**2 - 4*j What is the first derivative of 13*d**3*q**2 + 3*d**3 - 4096725*d**2*q**4 + 2*d**2 + 11666145 wrt q? 26*d**3*q - 16386900*d**2*q**3 What is the second derivative of -5*d**3 + 1301450*d**2 - 107360175*d wrt d? -30*d + 2602900 Differentiate x**2 + 212964614*x - 551416433. 2*x + 212964614 What is the third derivative of 2535*t**4 - 6297*t**3 - 89831770*t**2? 60840*t - 37782 What is the second derivative of -72081424*r**3 - 69127671*r? -432488544*r What is the first derivative of -27050017*c*i - 213782*i + 16 wrt c? -27050017*i What is the second derivative of f**4 + 841198*f**3 - f**2 - 10900708*f wrt f? 12*f**2 + 5047188*f - 2 What is the third derivative of 199551489*x**5 - 2*x**2 + 137185559? 11973089340*x**2 What is the derivative of 21431510*y - 14381273? 21431510 What is the third derivative of -2*i**2*q**3*t**3 + 939809*i**2*q**3 + 267436*i**2*q**2*t**2 - i*q**2 + 26*q*t**3 wrt q? -12*i**2*t**3 + 5638854*i**2 What is the second derivative of 812527*v**3 - 437*v - 19932? 4875162*v What is the second derivative of -1952*c**3*z**2 - 1008*c**2*z - c**2 - c*z**2 - 11313*c*z - 43*c + 5 wrt c? -11712*c*z**2 - 2016*z - 2 Differentiate 5129252*b*k**3 + 25311427*k**3 with respect to b. 5129252*k**3 Find the second derivative of 270462763*m**2 + 560021344*m. 540925526 Find the first derivative of 1020*k*x**2 - 3016*k*x + 191838*x**2 - 9*x wrt k. 1020*x**2 - 3016*x What is the second derivative of 10180*g**5 + g**4 + 135*g**2 - 228690*g + 14? 203600*g**3 + 12*g**2 + 270 Find the second derivative of 483158035*h**2 + 807674070*h. 966316070 Find the first derivative of -170550539*t + 1261673656. -170550539 Find the second derivative of 2*c*q**2*z**2 + 2747618*c*q**2 - 7*c*q + 19*q**2 + 31450*q*z**2 - 79*z**2 wrt q. 4*c*z**2 + 5495236*c + 38 What is the first derivative of 29797309*a**3 + a**2 + 8062951 wrt a? 89391927*a**2 + 2*a Find the second derivative of -8867983*h**2 - 3301271*h wrt h. -17735966 What is the second derivative of 14*c*h*t + 2*c*h + 110*c*t**2 - 2*c*t - 10084*h*t**2 - h*t - 5*t**2 - 47*t + 2 wrt t? 220*c - 20168*h - 10 Find the first derivative of 121116433*a + 174509892 wrt a. 121116433 What is the second derivative of -46*a**4 - 1820*a**3 - 17*a**2 - 37182*a - 579 wrt a? -552*a**2 - 10920*a - 34 What is the third derivative of -396*p**5 - 4322*p**4 - p**3 - 37*p**2 - 130*p - 61? -23760*p**2 - 103728*p - 6 Find the third derivative of 223422751*z**6 + 51163634*z**2 wrt z. 26810730120*z**3 What is the second derivative of 1769*f**3*j + 42041*f**2*j**2 - 81032*f*j**2 - 52*f wrt f? 10614*f*j + 84082*j**2 What is the second derivative of -33403*z**3 + 96*z**2 - 31705307*z wrt z? -200418*z + 192 What is the derivative of -28*n**3 + 672580*n - 25075729? -84*n**2 + 672580 Find the first derivative of t**2*v - 15*t**2*z + 2*t**2 - 22*t*v*z + 47711*t*z - 2*t - 1786992*v**3*z - 1 wrt v. t**2 - 22*t*z - 5360976*v**2*z Find the third derivative of -4*f*z**4 + 11087893*f*z**3 + 2*f*z**2 - 3*f*z - 4*f - 4*z**2 + 69*z + 336 wrt z. -96*f*z + 66527358*f What is the second derivative of i*o**3 - 44*i*o*z + i*o + 26*i*z**3 + 15*o**3*z**3 - 7*o**3*z + 40*o**3 - 14*o**2 - 7347*z**3 wrt z? 156*i*z + 90*o**3*z - 44082*z Find the first derivative of 290024*m*n**3 - 2*m*n**2 + 6908959*n**3 wrt m. 290024*n**3 - 2*n**2 Differentiate 439370958*d**2 - 34705062 wrt d. 878741916*d What is the second derivative of 16210978*x**3 + x**2 - 16131454*x + 1? 97265868*x + 2 Find the third derivative of 20261002*q**4 - 26*q**2 + 339*q - 10. 486264048*q Differentiate -223948617*o - 67321737. -223948617 Find the second derivative of -24*h**4 + 6520*h**3 + 9*h**2 + 26201152*h wrt h. -288*h**2 + 39120*h + 18 What is the third derivative of 3933*n**4*q - 654*n**4 + 654351*n**2*q - 2*n*q - 5*q + 2 wrt n? 94392*n*q - 15696*n What is the first derivative of 4*c**4*t - 412586*c**3*t - 12144754*t wrt c? 16*c**3*t - 1237758*c**2*t Find the third derivative of 2*g*s**3 + 57*g*s**2 - 2*g + 5615296*s**3 - 6649*s**2 + 4*s wrt s. 12*g + 33691776 What is the first derivative of 251*k**4 - 441*k**2*z**2 - 49*k - 1866*z**2 - 23158 wrt k? 1004*k**3 - 882*k*z**2 - 49 What is the third derivative of -367710572*g**3*x**2 - 2*g**2 + 2414*g*x**2 - 40*x**2 + 380*x wrt g? -2206263432*x**2 What is the second derivative of 227229*c**2*m - 41*c**2 - 8*c + 13629525*m wrt c? 454458*m - 82 What is the third derivative of 566543558*n**3 - 533*n**2 + 128669*n wrt n? 3399261348 What is the derivative of -425480877*c + 148610151? -425480877 Find the second derivative of 79135679*t**2 - 65346789*t wrt t. 158271358 What is the third derivative of -243623*l**4*s - 26*l**4 + 13969*l**2*s - l**2 + l*s + 24 wrt l? -5846952*l*s - 624*l What is the third derivative of 45876*b**3*p**2*r**3 - 488*b**3*p**2*r + b**3*p*r**2 + 16*p**2*r**3 - 111*p**2*r**2 wrt r? 275256*b**3*p**2 + 96*p**2 What is the derivative of 1449842265*z**3 + 794281514 wrt z? 4349526795*z**2 Find the third derivative of 98961228*u**6 - 1120*u**2 - 185962*u wrt u. 11875347360*u**3 Find the third derivative of -1253*g**4 + 1021*g**3 - 926*g**2 - 23774*g. -30072*g + 6126 What is the second derivative of m**2*w**2 - 1715334*m**2*w - 3*m + 19268*w**2 - w - 1 wrt m? 2*w**2 - 3430668*w Differentiate 296*f*k**3*x - 9*f*k*x - 5680*f + 6*k**3*x - 16*k**3 + k*x + 540005 wrt f. 296*k**3*x - 9*k*x - 5680 Differentiate -5*f*h*o - 3*f*h + 4024*f*o + 16*f - 585*h*o - 6*h + 5*o + 45503 wrt o. -5*f*h + 4024*f - 585*h + 5 Find the third derivative of 37333492*k**3 - 20826*k**2 + 2*k - 2 wrt k. 224000952 What is the second derivative of -661496266*r**2 - 1881836*r - 4? -1322992532 What is the second derivative of 25073370*f**4 + 5380*f + 13213? 300880440*f**2 What is the second derivative of -13*t**5 - 1310*t**4 - 122*t**3 + t - 2327611? -260*t**3 - 15720*t**2 - 732*t What is the third derivative of -2*n**6 + 2560061*n**4 - 816097*n**2 wrt n? -240*n**3 + 61441464*n Differentiate 358*o**3*v - 98*o**3*x + 28*o**3 - 161*o**2*v*x**3 - 67*x**3 wrt v. 358*o**3 - 161*o**2*x**3 Find the second derivative of 10*r**5 + 563689*r**3 - 2*r**2 + 98*r - 48765 wrt r. 200*r**3 + 3382134*r - 4 What is the second derivative of -r**3 + 22869020*r**2 + 2*r + 11862202 wrt r? -6*r + 45738040 What is the derivative of -14*s**3 + 6499*s**2*x - 2*s*x**2 - 29*x**2 + 27489 wrt s? -42*s**2 + 12998*s*x - 2*x**2 Differentiate -3324057*t**2 + 3*t + 24047786 with respect to t. -6648114*t + 3 Differentiate -23781203*v**4 - 1345345. -95124812*v**3 Differentiate 51791*o*x**3 - 199*o*x**2 + 380*x**3 - 22427 with respect to o. 51791*x**3 - 199*x**2 Find the second derivative of -8299267*h**4*x**3 - 21449*h*x**3 - 2*h*x + 137*h wrt h. -99591204*h**2*x**3 Differentiate -14787911*b*q*z**3 - 2*b*z**2 - 18265*b
{ "pile_set_name": "DM Mathematics" }
term of 7278, 15005, 22752, 30519, 38306, 46113? 10*h**2 + 7697*h - 429 What is the w'th term of -5924782, -5924781, -5924778, -5924773, -5924766? w**2 - 2*w - 5924781 What is the x'th term of 270, 151, -82, -429, -890, -1465, -2154? -57*x**2 + 52*x + 275 What is the d'th term of 153781, 153224, 152667, 152110? -557*d + 154338 What is the p'th term of 87169, 171715, 256261, 340807, 425353, 509899? 84546*p + 2623 What is the q'th term of 82748, 165495, 248242, 330989? 82747*q + 1 What is the w'th term of 22199, 22280, 22417, 22610, 22859, 23164? 28*w**2 - 3*w + 22174 What is the k'th term of 30342, 60627, 90892, 121137, 151362, 181567, 211752? -10*k**2 + 30315*k + 37 What is the a'th term of 6962192, 13924376, 20886560, 27848744? 6962184*a + 8 What is the b'th term of 146, 171, 104, -79, -402, -889, -1564? -4*b**3 - 22*b**2 + 119*b + 53 What is the t'th term of -332471, -331701, -330931, -330161, -329391, -328621? 770*t - 333241 What is the c'th term of -6147179, -6147184, -6147189, -6147194, -6147199, -6147204? -5*c - 6147174 What is the v'th term of -149883, -599566, -1349037, -2398296, -3747343? -149894*v**2 - v + 12 What is the d'th term of -3991, -3961, -3925, -3883? 3*d**2 + 21*d - 4015 What is the c'th term of 315198, 630423, 945646, 1260867? -c**2 + 315228*c - 29 What is the f'th term of 80176, 160393, 240630, 320887? 10*f**2 + 80187*f - 21 What is the n'th term of -119, -813, -2737, -6515, -12771, -22129? -104*n**3 + 9*n**2 + 7*n - 31 What is the v'th term of -14455861, -14455862, -14455863, -14455864, -14455865, -14455866? -v - 14455860 What is the j'th term of -2891, -8431, -23341, -52307, -100015? -781*j**3 + j**2 - 76*j - 2035 What is the h'th term of 200019, 199862, 199705? -157*h + 200176 What is the h'th term of 2585852, 2585856, 2585864, 2585876, 2585892? 2*h**2 - 2*h + 2585852 What is the p'th term of -18901, -17962, -16983, -15958, -14881, -13746, -12547, -11278? p**3 + 14*p**2 + 890*p - 19806 What is the t'th term of 53410, 109263, 165116? 55853*t - 2443 What is the z'th term of 4428, 5652, 6864, 8058, 9228, 10368, 11472, 12534? -z**3 + 1231*z + 3198 What is the x'th term of -16527, -45356, -74185, -103014? -28829*x + 12302 What is the u'th term of -34063, -136620, -307545, -546838, -854499, -1230528, -1674925? -34184*u**2 - 5*u + 126 What is the a'th term of -64495, -515341, -1739047, -4122043, -8050759, -13911625, -22091071? -64405*a**3 - 11*a - 79 What is the z'th term of 235934, 473396, 710868, 948356, 1185866, 1423404, 1660976, 1898588? z**3 - z**2 + 237458*z - 1524 What is the u'th term of -261592, -523288, -785088, -1046992, -1309000? -52*u**2 - 261540*u What is the k'th term of -30169360, -60338721, -90508082? -30169361*k + 1 What is the u'th term of 5385, 10073, 14747, 19401, 24029, 28625, 33183, 37697? -u**3 - u**2 + 4698*u + 689 What is the r'th term of -287045, -574081, -861105, -1148117? 6*r**2 - 287054*r + 3 What is the m'th term of 2384, 18992, 64034, 151730, 296300, 511964, 812942, 1213454? 2370*m**3 - 3*m**2 + 27*m - 10 What is the r'th term of -51979, -206173, -463163, -822949, -1285531, -1850909, -2519083? -51398*r**2 - 581 What is the s'th term of 7238, 9687, 12136, 14585? 2449*s + 4789 What is the y'th term of -28841755, -57683512, -86525269? -28841757*y + 2 What is the u'th term of 4421, 17642, 39679, 70532? 4408*u**2 - 3*u + 16 What is the t'th term of 499965, 999987, 1500007, 2000025? -t**2 + 500025*t - 59 What is the a'th term of 26, -160, -496, -982, -1618, -2404? -75*a**2 + 39*a + 62 What is the t'th term of -1654, -3679, -6458, -10369, -15790, -23099, -32674? -63*t**3 + t**2 - 1587*t - 5 What is the b'th term of 96246905, 96246903, 96246901, 96246899? -2*b + 96246907 What is the r'th term of 106, 6295, 16610, 31051, 49618, 72311, 99130? 2063*r**2 - 1957 What is the z'th term of -1626876, -1626854, -1626832, -1626810, -1626788? 22*z - 1626898 What is the k'th term of -45653, -46060, -47163, -49310, -52849, -58128, -65495? -58*k**3 - k - 45594 What is the z'th term of -1524, -3076, -5690, -9366? -531*z**2 + 41*z - 1034 What is the w'th term of -285170, -1140673, -2566512, -4562687, -7129198, -10266045, -13973228? -285168*w**2 + w - 3 What is the s'th term of -1707, -1060, 1953, 7338, 15101, 25248, 37785, 52718? s**3 + 1177*s**2 - 2891*s + 6 What is the p'th term of -21245, -21222, -21217, -21236, -21285, -21370, -21497, -21672? -p**3 - 3*p**2 + 39*p - 21280 What is the w'th term of -21160804, -21160814, -21160846, -21160912, -21161024, -21161194? -2*w**3 + w**2 + w - 21160804 What is the a'th term of 198, 73, -362, -1101, -2138, -3467, -5082, -6977? a**3 - 161*a**2 + 351*a + 7 What is the r'th term of 186, 429, 878, 1569, 2538, 3821, 5454, 7473? 6*r**3 + 67*r**2 + 113 What is the s'th term of -5558, -22258, -50088, -89048? -5565*s**2 - 5*s + 12 What is the n'th term of 32906, 65968, 99030, 132092, 165154? 33062*n - 156 What is the t'th term of 4686161, 4686156, 4686151, 4686146? -5*t + 4686166 What is the h'th term of 58264, 57512, 56248, 54466, 52160, 49324, 45952, 42038? -h**3 - 250*h**2 + 5*h + 58510 What is the v'th term of -2177490, -2177439, -2177386, -2177331, -2177274, -2177215, -2177154? v**2 + 48*v - 2177539 What is the f'th term of 1074, 10508, 36098, 85914, 168026, 290504? 1345*f**3 + 8*f**2 - 5*f - 274 What is the s'th term of 761, 2983, 6683, 11861, 18517, 26651, 36263? 739*s**2 + 5*s + 17 What is the s'th term of -814852, -814847, -814844, -814843, -814844, -814847, -814852? -s**2 + 8*s - 814859 What is the w'th term of -9353, -8255, -7157? 1098*w - 10451 What is the d'th term of -458, -817, -1430, -2297, -3418, -4793, -6422? -127*d**2 + 22*d - 353 What is the r'th term of 298567, 299359, 300151? 792*r + 297775 What is the l'th term of -26029, -52053, -78087, -104137, -130209, -156309? -l**3 + l**2 - 26020*l - 9 What is the u'th term of -1186, -2622, -4384, -6466, -8862, -11566, -14572? u**3 - 169*u**2 - 936*u - 82 What is the k'th term of 932374, 932366, 932358, 932350? -8*k + 932382 What is the g'th term of 989166258, 989166259, 989166260, 989166261? g + 989166257 What is the s'th term of 1038025, 1038041, 1038047, 1038037, 1038005? -s**3 + s**2 + 20*s + 1038005 What is the s'th term of -40769, -40955, -41141, -41327, -41513, -41699? -186*s - 40583 What is the p'th term of 28470, 28456, 28442, 28428? -14*p + 28484 What is the z'th term of 6296959, 25187960, 56672963, 100751968, 157424975, 226691984? 6297001*z**2 - 2*z - 40 What is the h'th term of -1322847, -1322873, -1322911, -1322967, -1323047, -1323157? -h**3 - 19*h - 1322827 What is the r'th term of 26285, 26222, 26159, 26096, 26033, 25970? -63*r + 26348 What is the b'th term of -196022, -784179, -1764476, -3136919, -4901514, -7058267, -9607184? -b**3 - 196064*b**2 + 42*b + 1 What is the s'th term of 4898530, 4898532, 4898534, 4898536, 4898538? 2*s + 4898528 What is the s'th term of 3023602, 6046922, 9070242, 12093562? 3023320*s + 282 What is the u'th term of -10342, -19636, -28930, -38224? -9294*u - 1048 What is the u'th term of -117158, -234252, -351336, -468404, -585450, -702468, -819452, -936396? u**3 - u**2 - 117098*u - 60 What is the p'th term of -8712328, -8712324, -8712320, -8712316, -8712312, -8712308? 4*p - 8712332 What is the x'th term of -47965, -47634, -47303, -46972? 331*x - 48296 What is the r'th term of -6833, -33263, -77311, -138977, -218261? -8809*r**2 - 3*r + 1979 What is the f'th term of -25206312, -50412628, -75618944, -100825260? -25206316*f + 4 What is the h'th term of 452763, 1811077, 4074939, 7244349? 452774*h**2 - 8*h - 3 What is the z'th term of 82324, 329053, 740260, 1315939, 2056084, 2960689, 4029748, 5263255? -z**3 + 82245*z**2 + z + 79 What is the h'th term of -50934, -51308, -52320, -54288, -57530, -62364, -69108, -78080? -53*h**3 - h**2 - 50880 What is the b'th term of 19642, 77957, 174944, 310597, 484910, 697877, 949492? -b**3 + 19342*b**2 + 296*b + 5 What is the c'th term of 217617, 435257, 652897, 870537, 1088177? 217640*c - 23 What is the j'th term of 9131, 73006, 246387, 584030, 1140691, 1971126, 3130091, 4672342? 9126*j**3 - 3*j**2 + 2*j + 6 What is the b'th term of 34530, 34462, 34396, 34332? b**2 - 71*b + 34600 What is the x'th term of -33689, -34736, -36479, -38918? -348*x**2 - 3*x
{ "pile_set_name": "DM Mathematics" }
o 7 decimal places? 0.0000024 Let q(o) = 4*o - 8. Let s be q(3). Suppose 0 = 5*g + s*c, 2*g + 6*c = 3*c - 7. Let n be 100/(g/10 - 3294/8240). What is n rounded to the nearest ten thousand? 410000 Let c = 160507.3475 + -160696. Let t = c - -0.3525. Round t to the nearest ten. -190 Let b = 70.28 - 109.5. What is b rounded to the nearest integer? -39 Let n = -15.7877 - -15.546. What is n rounded to zero decimal places? 0 Let o be ((4971682/(-2))/1)/(16 + -17). Let z = -1645841 + o. Let j be z/(-3 - 4/(-1)). Round j to the nearest one hundred thousand. 800000 Let y(s) be the first derivative of 121*s**4/4 - 5*s**3/3 + 4*s**2 - 4*s + 26. Let o be y(6). Round o to the nearest 1000. 26000 Let p = 22.41 + -35.28. Let f = 12.6 + p. Round f to the nearest integer. 0 Let i = 800.5 + -800.500002658. Round i to seven decimal places. -0.0000027 Let y = 1.339 + -1066.339. Let c = y - -1064.9998821. What is c rounded to five decimal places? -0.00012 Let z = 113.42 + -42.12. What is z rounded to the nearest 100? 100 Suppose 14*s - 1576590609 = 570000355. Let z be s/(-148) - 2/4. Round z to the nearest ten thousand. -1040000 Let l = 1.73569 - -74.21531. Let j = l + -76. Let d = 0.049112 + j. Round d to 5 decimal places. 0.00011 Let b = 27.99 - 28. Let s = -10279.9899984 + 10280. Let u = s + b. What is u rounded to 6 dps? 0.000002 Let i be 4*(4 - (-228306445)/20). Suppose -5*q + 8338705 + i = 0. Let s be q/(-9) + 20/90. What is s rounded to the nearest 100000? -1200000 Let w = 0.37 + -0.306. Let c = w - 0.007. What is c rounded to three decimal places? 0.057 Let j be 2 + 2 + (5 - 4). Suppose 2*n = -j*n - 121730. What is n rounded to the nearest 1000? -17000 Suppose 43*l - 1530740 = 1322955. What is l rounded to the nearest 10000? 70000 Suppose 3 + 29 = 2*i + 4*o, -50 = -5*i + 5*o. Suppose -9*z + 6*z = i. Let y be z/12 + 13/3. What is y rounded to the nearest integer? 4 Suppose -5*k + 5720 = -6*k. Let y = -3760 - k. What is y rounded to the nearest 100? 2000 Let t = 0.65 + -0.15. Let n = 0.751 + 0.069. Let g = n - t. Round g to 1 dp. 0.3 Let v = -65.97 - -0.97. Let r = -89.964 + 25.062. Let x = r - v. What is x rounded to two dps? 0.1 Let l = -5.051 + -65.563. Round l to zero decimal places. -71 Let z = -610280.09901 + 610283. Let j = -2.9 + z. What is j rounded to four decimal places? 0.001 Let z = -340 + 241. Let p = z - -98.99385. Round p to four dps. -0.0062 Let y = 95.734 + -373.652. Round y to 0 dps. -278 Suppose 5*o - 397250 = -j - 2232, 0 = -5*o - 5*j + 395050. What is o rounded to the nearest 1000? 79000 Let h = -8 + 24. Let p = 26 - h. Let i be p/35 + 14000002/(-7). What is i rounded to the nearest 1000000? -2000000 Let p(g) = 36*g**2 - 409*g - 44. Let b(j) = 7*j**2 - 82*j - 9. Let x(o) = -11*b(o) + 2*p(o). Let y be x(19). What is y rounded to the nearest 100? -200 Let d = -8768 - -8861.9. What is d rounded to the nearest 100? 100 Let y = 453 + -494.1. Let j = y - -33.96. What is j rounded to the nearest integer? -7 Let o = -994.56 - -1017. Let b = 2.34 - o. What is b rounded to the nearest ten? -20 Let b be (-15)/10 + (-17)/(-2). Suppose 11*a = 4*a - b. Let n be -15001 - 0 - 2/2*a. What is n rounded to the nearest 10000? -20000 Let s(t) = 3*t - 14. Let i be s(6). Let y(c) = -i - 2 - 47504*c - 6 + 4. Let k be y(-2). Round k to the nearest ten thousand. 100000 Let a = 2861.79 - 2911. Let x = 19 - 69. Let z = x - a. Round z to 1 dp. -0.8 Let u be 12*487995/(-6) - 10. What is u rounded to the nearest one hundred thousand? -1000000 Let t = -6.05 + -605.95. Let o = t + 71. Let i = o - -532.32. Round i to 0 decimal places. -9 Let u = -3.0632 + 2.790508. Let f = -0.273 - u. Round f to 4 dps. -0.0003 Let n(u) = 3987*u - 233. Let z be n(-7). Let x = 7632 + z. What is x rounded to the nearest one thousand? -21000 Suppose -8*w + 79180318 = 205620318. What is w rounded to the nearest 1000000? -16000000 Let r = -2845 - -2844.979613. Round r to 3 decimal places. -0.02 Let n = -47 - -7. Let f = 36.3 + n. Let c = f + 4.34. Round c to one decimal place. 0.6 Let c = -0.35416 - 9.05764. What is c rounded to zero decimal places? -9 Suppose -5*c + 3*c - 29487 = s, -2*s - 58978 = 5*c. Let g = s - -50779. Round g to the nearest ten thousand. 20000 Let d = 2448.099979659 + -2448.1. What is d rounded to 7 dps? -0.0000203 Let z = -4 - 8. Let m = -73573.08070044 + 73585.0807. Let a = m + z. Round a to seven dps. -0.0000004 Let m = -3737.53599461 - -3732.036. Let x = m - -5.5. What is x rounded to 7 decimal places? 0.0000054 Suppose 34650 + 21798 = 4*f. Let g be (-6)/27 - 47/(-9). Suppose -5*i + 777 = 2*m - 4843, g*m = 3*i + f. Round m to the nearest 100. 2800 Let u = 2747.926 - 2815.92524. Let f = -68.07 - -0.07. Let w = f - u. Round w to 4 dps. -0.0008 Let r = -412932 + 62532. Round r to the nearest 100000. -400000 Let o = -32048 - -32047.99953387. Round o to 6 dps. -0.000466 Let d = -305453 + 305453.0163691. What is d rounded to 3 decimal places? 0.016 Let x = 140 + -89. Let w = -50.645 + x. Let z = 0.35647 - w. What is z rounded to four dps? 0.0015 Let n = -4.53829 + -0.05471. Let f = -43.297 - -44. Let u = n + f. Round u to 1 dp. -3.9 Let r = -378.4 - -690.827. Let y = r + 41.76. Let x = y - 354. What is x rounded to two dps? 0.19 Suppose -7*r + 22361 + 42091 = 5*r. What is r rounded to the nearest one hundred? 5400 Let f = 0.087 - -14.913. Let h = f + -15.000042. Round h to five decimal places. -0.00004 Suppose -15*b + 13*b = -4. Suppose b*o - 135599953 = -3*p, p - o - 180799941 = -3*p. Suppose -3*i + 10 = -5*i, -4*h + p = 3*i. Round h to the nearest 1000000. 11000000 Let j = -145 - -145. Suppose 14970002 = -3*i + m, 3*i + 5*m - 2*m + 14969994 = j. What is i rounded to the nearest 100000? -5000000 Let w(x) = -170*x**2 - 4*x + 6. Suppose y = -4*k - 18, 6*k + 4 = 7*k - 4*y. Let t be w(k). What is t rounded to the nearest 100? -2700 Let a = 3001.5 + -2973.786. Let b = -42.67 + a. Let w = 14.2 + b. What is w rounded to one dp? -0.8 Let g = -10975 - -7535.8. What is g rounded to the nearest 1000? -3000 Let w = 6.77 + 12.51. Let h = -18.271 + w. What is h rounded to 1 dp? 1 Let r = 12.722 + -7.265. Let i = 4.84 - r. What is i rounded to 2 dps? -0.62 Let t be ((-16)/(-6))/2*(-444)/296 - -35232. Round t to the nearest 10000. 40000 Let r(s) = -98*s**3 - 2*s**2 - 1804*s**3 - s - 34*s + 27 - 57. Let k be r(14). Round k to the nearest 1000000. -5000000 Let y = -178255383 - -375215383. Round y to the nearest one million. 197000000 Suppose -40*l - 18 = -31*l. Let g be 3*-972 + 12/(-5 - l). What is g rounded to the nearest 1000? -3000 Let w be 919992 - (-10)/(4 - -1). Suppose -2*c - 3*b = -w, 6*c - 4*c - 920002 = b. What is c rounded to the nearest one million? 0 Suppose -1711980 = -2*i + 5*x, 5*x = -2*i + 4*x + 1712004. What is i rounded to the nearest ten thousand? 860000 Let o = -280 - -57. Let p = -89 - o. Let k = p - 133.9943. Round k to 3 dps. 0.006 Suppose -4*f + 6*f = 0. Suppose -c + 7 + 5 = f. Let h be c/54 - 14400004/18. Round h to the nearest one million. -1000000 Let q = -211 + 570. Let j = q + -358.9999894. What is j rounded to 6 decimal places? 0.000011 Let n = 40864 + -40863.999983603. Round n to 6 dps. 0.000016 Suppose -54*d - 50*d + 2379867 = -83*d. Round d to the nearest 10000. 110000 Let m = 9.463 - 0.263. Let t = m - -2.32. Round t to 1 dp. 11.5 Let a = -1063.954 + 1063. Let x = -8.944 - a. Round x to 0 decimal places. -8 Let c = 24934.2 - 27098.58. What is c rounded to the nearest 100? -2200 Let l = 16947.807 - 16946. What is l rounded to zero dps? 2 Let i(v) = -743*v**2 - 51*v + 40. Let m be i(15). Round m to the nearest one thousand. -168000 Let t = -62491 - -62491.031767. Round t to 3 dps. 0.032 Suppose 5*c + 17059943 = 1674943. Round c to the nearest 1000000. -3000000 Suppose -w - 61 = -5*r, 0 = 6*w - 2*w + 3*r + 290. Let k be 7 + -8 + w/(-1). Suppose -2*u = 3*s + 245 - 67, -k = s - 2*u. What is s rounded to the nearest 10? -60 Suppose 0*k = -k + m - 315, -2*k - 610 = 3*m. Let d = -1359 + 458. Let c = d - k. What is c rounded to the nearest 100? -600 Let f = -8171 + 184211. What is f rounded to the nearest 1000? 176000 Suppose 456 = -37*c + 1159. Suppose -c*g + 1837 = 526. Round g to the nearest 10. 70 Suppose 669595162 - 87593486 = -71*m - 392899324. Round m
{ "pile_set_name": "DM Mathematics" }
ve 4*h(b) + 7*q(b). b**3 - 59*b**2 - 4 Let c(v) = -187*v**2 - 88*v - 22. Let a(k) = 17*k**2 + 8*k + 2. Determine 23*a(d) + 2*c(d). 17*d**2 + 8*d + 2 Let v(w) = -6*w**3 + 26*w**2 + 30. Let l(t) = -7*t**3 + 25*t**2 + t + 38. Determine 4*l(i) - 5*v(i). 2*i**3 - 30*i**2 + 4*i + 2 Let f(w) = 18*w**2 - 13*w - 2949. Let i(o) = 50*o**2 - 36*o - 8847. Calculate 11*f(u) - 4*i(u). -2*u**2 + u + 2949 Let y = 542 + -541. Let k(r) = -r**3 + r**2 + r. Let b(j) = 5*j**3 - 3*j**2 - 4*j. What is y*b(n) + 4*k(n)? n**3 + n**2 Let u = -32462 + 32466. Let b(i) = -i**3 + 6*i**2 + i - 3. Let q(c) = -c**3 + 7*c**2 + c - 2. Determine u*b(h) - 3*q(h). -h**3 + 3*h**2 + h - 6 Let b(t) = t**2 + 28*t + 10. Let y(k) = -13*k - 6. Give -4*b(c) - 7*y(c). -4*c**2 - 21*c + 2 Let p(d) = 2748*d**3 - 26*d + 16. Let f(z) = -915*z**3 + 8*z - 5. What is 13*f(x) + 4*p(x)? -903*x**3 - 1 Let u(n) = n**2 - 25*n**2 + 15*n**2 + 6*n**2 + 8*n**2 + 5 - 3. Suppose -k + 0*k = 8. Let x(q) = 14*q**2 + 6. Calculate k*u(g) + 3*x(g). 2*g**2 + 2 Let c(n) = -9*n**2 + 6*n + 2. Let o(x) = 1. Let y(m) = c(m) - 3*o(m). Let i(j) = -1 + 19*j + 22*j - 83*j + 18*j - 5*j**2 + 27*j. Calculate -5*i(t) + 3*y(t). -2*t**2 + 3*t + 2 Let x(y) = 11*y**3 + 94*y**2 - 20*y - 15. Let h(p) = 5*p**3 + 47*p**2 - 8*p - 6. What is 15*h(n) - 6*x(n)? 9*n**3 + 141*n**2 Let u(p) = -3*p**2 + 3*p + 3. Let d be (1*-2)/(-8) - (-72)/96. Let l(x) = 5*x + 9. Let g(o) = -4*o - 7. Let n(t) = -4*g(t) - 3*l(t). Give d*u(q) - 3*n(q). -3*q**2 Let n(a) = 2937*a - 238. Let f(h) = -2936*h + 278. Give 6*f(d) + 7*n(d). 2943*d + 2 Let k(h) = 63*h - 28. Let a(y) = 7*y - 6. Let b(w) = -7*w + 5. Let p(t) = 2*a(t) + 3*b(t). Suppose 0 = -4*s - 49 - 63. Determine s*p(f) - 3*k(f). 7*f Let g(u) = -11*u**2 + 35. Let w(y) = 5*y**2 - 6 + 250*y + 1 - 12 - 250*y. Calculate 6*g(i) + 13*w(i). -i**2 - 11 Let o(c) = -c - 21. Let q(m) = -242*m + 115. Calculate 5*o(i) + q(i). -247*i + 10 Let a(f) = -8*f**2 + 4*f + 1. Let p(b) = -37*b**2 + 16*b + 1. Give -9*a(r) + 2*p(r). -2*r**2 - 4*r - 7 Let d(f) = -f. Let n(v) = 4*v - 2. Let t = 15951 + -15950. Determine t*n(l) + 3*d(l). l - 2 Let x(d) be the third derivative of -d**5/5 + d**4/6 - d**3/2 + 19*d**2 + 9. Let f(j) = -36*j**2 + 11*j - 9. Give 4*f(a) - 11*x(a). -12*a**2 - 3 Let m(i) = -2*i - 1386. Let n(d) = d + 687. Give -4*m(j) - 9*n(j). -j - 639 Let x(s) be the third derivative of -s**6/40 - 7*s**5/60 + s**4/12 - s**3/6 + 402*s**2. Let n(a) = -2*a**3 - 6*a**2 + 2*a - 1. Give 5*n(u) - 4*x(u). 2*u**3 - 2*u**2 + 2*u - 1 Let w(v) = v + 8. Let d(y) = 1. Let s be (-3 - -1)/(4/(-10)). Suppose 54 = 2*k - 5*o, 3*o + 104 = s*k - 12. Let r = 17 - k. Determine r*w(b) + 40*d(b). -5*b Let k(a) = 3*a**3 + 4*a**2 + 7. Let n(u) = -2*u**3 - 3*u**2 - 6. Let x = -9971 - -9967. What is x*n(d) - 3*k(d)? -d**3 + 3 Suppose 0 = 26*z + 107 + 75. Let q(j) = 8*j - 1. Let y(k) = -9*k. Calculate z*q(u) - 6*y(u). -2*u + 7 Let l(m) = 6802*m**3 + 10*m**2 + 5*m. Let i(h) = -10204*h**3 - 16*h**2 - 8*h. What is -5*i(u) - 8*l(u)? -3396*u**3 Let t(y) = -4*y. Let g(z) = 5*z + 1. Let j(d) = 5*d**2 + 19*d - 105. Let l be j(5). Suppose 99 = 4*f + l. What is f*t(b) - 3*g(b)? b - 3 Let d(o) = -30*o**2 - 26*o + 7. Let i(p) = -156*p**2 - 131*p + 37. Let a(m) = -31*d(m) + 6*i(m). Let s(r) = r**2 - 4*r - 1. Determine 2*a(l) + 11*s(l). -l**2 - 4*l - 1 Let u(p) = 23*p**2 + 19*p + 17. Let j(z) = -38*z**2 - 37*z - 28. Give 4*j(r) + 7*u(r). 9*r**2 - 15*r + 7 Let t(n) be the first derivative of -23*n**2/2 + 5*n + 3. Let v(o) be the second derivative of 35*o**3/6 - 4*o**2 + 436*o. Calculate -8*t(g) - 5*v(g). 9*g Suppose -5*x = 2*c + 20, -x = -4*c - 14 - 4. Let n(t) be the first derivative of -t**2/2 + 4*t - 3713. Let v(b) = 2. Calculate c*v(p) + 2*n(p). -2*p - 2 Let f(o) = -278*o**2 - 56*o - 5. Let y(m) = 137*m**2 + 28*m + 3. Give 3*f(u) + 5*y(u). -149*u**2 - 28*u Let n(r) = -5*r**2 + 64*r + 27. Let v(t) = -6*t**2 + 63*t + 31. Calculate -8*n(i) + 7*v(i). -2*i**2 - 71*i + 1 Suppose -2*q + 260 = 5*y, 5*y - 3*y + 2*q - 98 = 0. Let r(k) = -k - 8*k**2 + 4*k**2 + 52 + 4*k - y. Let i(l) = -l**2 - 1. Give 2*i(s) - r(s). 2*s**2 - 3*s Let u(o) = -9*o - 6. Let r(d) = -2*d - 1. Let h(j) = -5*r(j) + u(j). Let q(k) = -k**2 + 3*k - 2. Let n(a) = -6*a - 39. Let b be n(-7). What is b*h(t) - q(t)? t**2 - 1 Let c(f) = -2*f**2 + 8*f + 239. Let u(t) = -t**2 + 4*t + 119. Determine -2*c(r) + 5*u(r). -r**2 + 4*r + 117 Let c(g) = -817*g - 95. Let s(w) = -13*w + 47*w + 21916 - 21912. Give 4*c(u) + 95*s(u). -38*u Let b(x) = -5*x**2 + 2*x + 5. Let d(w) = 2*w**2 - w - 2. Suppose -37*o + 6*o - 267 = -3*v, -39 = 3*o + 3*v. Give o*d(q) - 4*b(q). 2*q**2 + q - 2 Let g(m) = -20*m**2 + 20*m + 19. Let o(q) = -10*q**2 + 11*q + 10. What is 4*g(u) - 7*o(u)? -10*u**2 + 3*u + 6 Let h(p) = -3*p. Let c = -43681 - -43684. Let z(n) = -3*n - 1. Let l be -1 + 2/2 + -2. Determine c*h(g) + l*z(g). -3*g + 2 Suppose 4*z = 4*l, 0*l + l = -2*z + 9. Let o(q) = -q + 1. Let r(m) = -11*m - 14*m - 19*m - 13*m + 62*m - 4. Determine z*r(v) + 12*o(v). 3*v Let n(f) = 28*f + 16. Let q(k) = 49*k + 33. Give 5*n(i) - 3*q(i). -7*i - 19 Let d(c) = c**3 - c**2 + 5. Let b be d(0). Let x(n) = n - 4. Let r(v) be the second derivative of -v**3/6 + 9*v**2/2 + 475*v. Determine b*x(w) + 2*r(w). 3*w - 2 Let f(q) = 254 - 500 + 23*q + 246. Let a(h) = 23*h. Calculate -5*a(w) + 6*f(w). 23*w Let f(k) = k - 22. Let b(c) = -11*c - 1300. What is b(h) + 10*f(h)? -h - 1520 Let o(y) = -100*y - 1726. Let u(w) = 13*w + 216. Calculate 2*o(m) + 17*u(m). 21*m + 220 Let z(p) = 44*p - 43*p + 5 + 3 + 4 - 1. Let r = -35 - -26. Let v(n) = -5. Determine r*v(s) - 4*z(s). -4*s + 1 Let c(z) = -9*z**3 + z**2 - z - 1. Let h(w) = -641*w**3 + 2*w**2 - 2. Calculate 2*c(o) - h(o). 623*o**3 - 2*o Let v = -5297 - -5286. Let i(w) = w**3 - 28*w. Let s(b) = 6*b**3 - 139*b. Determine v*i(p) + 2*s(p). p**3 + 30*p Let k(d) = -47. Let l(q) = -48. Let f(w) = -k(w) + l(w). Suppose 3*g = 4*c - 29, 0 = 4*g + 14 - 2. Let r = c + -8. Let s(x) = 2*x + 3. What is r*f(b) - s(b)? -2*b Let y(a) = 1. Let q(w) = 2*w**3 - 346*w**2 - 5*w + 866. Let u be q(173). Let i(j) = -2*j + 1 - j - 3. Give u*i(h) + y(h). -3*h - 1 Let o(z) = z + 1. Let n be (40/(-720))/((-2)/6). Let h(p) be the second derivative of -23*p + 2*p**2 + 0 + n*p**3. Give h(b) - 3*o(b). -2*b + 1 Let l(g) = 1597*g - 2. Let y(p) = 423207*p - 531. What is 531*l(w) - 2*y(w)? 1593*w Let d(o) = 19 - 14 - 10 - 8*o + 11. Let h(w) = -7*w + 5. Calculate 6*d(k) - 7*h(k). k + 1 Suppose 0 = 2*r - r - 5. Let n(j) = 11*j + 6 + r - 1 + 4. Let a(b) = 0 + 3*b - 5 - 7*b. Determine 17*a(s) + 6*n(s). -2*s - 1 Let m(k) = k**3 - 2*k**2 - 3*k. Let u(i) = 23*i**3 - 5*i**2 - 6*i - 5. Let t(l) = 2*m(l) - u(l). Let s(a) = 32*a**3 - a**2 - 7. What is -5*s(p) - 7*t(p)? -13*p**3 - 2*p**2 Let r(u) be the third derivative of -57*u**6/40 - 9*u**4/8 + 9*u**3/2 + 1226*u**2. Let t(p) = 31*p**3 + 5*p - 5. Give -5*r(d) - 27*t(d). 18*d**3 Let x(c) = 12*c**3 - 58*c + 4. Let w(b) = -6*b**3 + 26*b - 2. What is 9*w(i) + 4*x(i)? -6*i**3 + 2*i - 2 Let q be (-1)/1*(12*(-4)/(-16) + -12). Let m(j) = 2*j + 18. Let x(a) = 4*a + 35. Give q*m(i) - 4*x(i). 2*i + 22 Let d(x) = 3069*x - 54. Let h(c) = -89000*c + 1560. Calculate -260*d(b) - 9*h(b). 3060*b Let a(c) be the third derivative of -c**4/12 - 3*c**3/2 + 5*c**2. Let w(p) = 217*p - 3 + 4 - 218*p - 9. Give 2*a(n) - 3*w(n). -n + 6 Let o(g) = -g**2 + 3. Let i(j) = -6*j**3 - 3*j**2 + 241*j + 9. Determine 2*i(p) - 6*o(p). -12*p**3 + 482*p Let b(o) = -8*o**3 + 27*o**2 - 7*o + 10. Let r(y) = y**3 - 3*y**2 + y - 1. Let l(g) = -b(g) - 7*r(g). Let s(q) = -2*q**3 + 11*q**2 + 5. What is 7*l(f) + 4*s(f)? -f**3 + 2*f**2 - 1 Let z(l) = -36*l + 8. Let o(r) = 23*r - 7. What is 7*o(g) + 5*z(g)? -19*g - 9 Let t(a) = a**2 + 11*a + 4. Let i(u) = 5*u + 2. Let p = -107 + 195. Let z = -83 + p. Calculate z*i(l) - 2*t(l). -2*l**2 + 3*l + 2 Let f(r) = 3*r - 1. Let k(o) = -6*o + 3. Let d be (-3)/6 - (5423/748)/(2/4). What is d*f(j) - 6*k(j)? -9*j - 3 Let q be 12/2 - 0/1. Let l(a) = -18439 + 36882 - a**2 + 2*a**3 - 18442 - 3*a**2 + 4*a**2 - 3*a**2. Let b(m) = -2*m**3 + 2*m**2 - 1. Give q*b(k) + 4*l(k). -4*k**3 - 2 Let d(l) = -21*l - 2. Let s = 1718 - 1672. Let a(x) = -230*x - 23. Give s*d(p) - 4*a(p). -46*p Let h(g) = -11*g + 1684. Let n(d) = -15*d + 1684. Calcul
{ "pile_set_name": "DM Mathematics" }
b of picking 2 r? 1/11 Four letters picked without replacement from {r: 4, b: 4, d: 7}. What is prob of picking 2 r, 1 d, and 1 b? 8/65 Three letters picked without replacement from {i: 14, v: 5}. Give prob of picking 3 i. 364/969 Calculate prob of picking 3 y when three letters picked without replacement from {o: 2, y: 4}. 1/5 Four letters picked without replacement from ooooooooo. What is prob of picking 4 o? 1 Four letters picked without replacement from {z: 11, d: 6, u: 2}. What is prob of picking 2 u and 2 z? 55/3876 Two letters picked without replacement from jzvjqdjqzzqjvjjjjdjj. Give prob of picking 1 j and 1 z. 3/19 Calculate prob of picking 1 f, 1 l, and 1 r when three letters picked without replacement from mmfrlda. 1/35 Three letters picked without replacement from {h: 1, c: 2, e: 9, x: 2, m: 3}. What is prob of picking 1 x, 1 c, and 1 e? 9/170 Two letters picked without replacement from gggggggggg. Give prob of picking 2 g. 1 Two letters picked without replacement from {l: 4, p: 4, f: 2}. What is prob of picking 2 f? 1/45 What is prob of picking 1 x and 2 y when three letters picked without replacement from {x: 1, w: 1, y: 2, j: 2, g: 2, q: 1}? 1/84 Three letters picked without replacement from ztbttiibzztttibibbis. What is prob of picking 1 s, 1 i, and 1 t? 1/38 Calculate prob of picking 2 c and 1 b when three letters picked without replacement from {i: 1, l: 2, m: 1, c: 2, y: 1, b: 1}. 1/56 Three letters picked without replacement from {c: 3, l: 2, b: 3}. What is prob of picking 2 b and 1 l? 3/28 Three letters picked without replacement from kkfykiyfiyykkkrkrkrr. What is prob of picking 1 i, 1 k, and 1 r? 16/285 Calculate prob of picking 4 p when four letters picked without replacement from {i: 2, q: 3, p: 6, j: 2, k: 6, f: 1}. 1/323 Calculate prob of picking 1 u, 1 x, and 2 k when four letters picked without replacement from xvvkvuvkvk. 1/70 What is prob of picking 1 h and 1 c when two letters picked without replacement from {v: 9, w: 1, c: 2, h: 2}? 4/91 What is prob of picking 1 y and 1 i when two letters picked without replacement from qttiyi? 2/15 Three letters picked without replacement from {s: 9, v: 9}. Give prob of picking 2 v and 1 s. 27/68 Three letters picked without replacement from vsvvvs. Give prob of picking 2 s and 1 v. 1/5 Four letters picked without replacement from ypdbyeeneypenenbed. Give prob of picking 1 d, 1 b, 1 y, and 1 e. 2/85 Three letters picked without replacement from ccawddddaddd. Give prob of picking 2 w and 1 c. 0 Two letters picked without replacement from mmwmmmwmmmm. Give prob of picking 2 m. 36/55 Calculate prob of picking 2 e when two letters picked without replacement from {e: 6, p: 4, q: 1}. 3/11 Three letters picked without replacement from {x: 3, q: 1, k: 3, y: 6}. Give prob of picking 2 y and 1 k. 45/286 Four letters picked without replacement from rovmmrvujvojjjmo. What is prob of picking 1 o and 3 v? 3/1820 Three letters picked without replacement from {m: 1, s: 3, v: 1, t: 1, k: 1}. Give prob of picking 1 m and 2 s. 3/35 Four letters picked without replacement from {y: 13, q: 3, o: 2}. Give prob of picking 3 q and 1 o. 1/1530 Calculate prob of picking 2 d when two letters picked without replacement from dodmdoodd. 5/18 Calculate prob of picking 2 r when two letters picked without replacement from {n: 1, t: 3, q: 1, r: 3, x: 3}. 3/55 Calculate prob of picking 1 n, 1 a, and 1 o when three letters picked without replacement from {p: 1, n: 1, o: 2, a: 4}. 1/7 Three letters picked without replacement from awxpj. What is prob of picking 1 x, 1 p, and 1 a? 1/10 Three letters picked without replacement from {u: 7, j: 4, o: 6}. Give prob of picking 3 o. 1/34 What is prob of picking 2 w when two letters picked without replacement from wjwjjwjjwwwjjjwwwj? 4/17 Calculate prob of picking 3 f when three letters picked without replacement from pfpxfpxfxxpbxfxppf. 5/408 What is prob of picking 2 n when two letters picked without replacement from ccnncn? 1/5 Four letters picked without replacement from {v: 1, j: 3, z: 1}. Give prob of picking 1 z, 2 j, and 1 v. 3/5 What is prob of picking 2 p and 1 k when three letters picked without replacement from ppkpkp? 3/5 Calculate prob of picking 2 m and 1 x when three letters picked without replacement from xhvhmxmmhamazaxhh. 9/340 Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {p: 4, j: 2, e: 4, t: 1, z: 2, w: 1}. 2/91 Three letters picked without replacement from sxjbt. What is prob of picking 1 s, 1 b, and 1 t? 1/10 Three letters picked without replacement from {o: 2, w: 3}. Give prob of picking 3 w. 1/10 What is prob of picking 1 u and 2 c when three letters picked without replacement from {p: 6, b: 1, u: 2, c: 2, h: 5}? 1/280 Calculate prob of picking 2 e and 2 i when four letters picked without replacement from mmevmivmvvvimyymyev. 1/3876 What is prob of picking 4 m when four letters picked without replacement from ymyyryyymyyyyyymy? 0 Calculate prob of picking 1 f and 2 s when three letters picked without replacement from {s: 2, c: 2, f: 2, v: 8}. 1/182 What is prob of picking 3 f when three letters picked without replacement from {f: 10, q: 9}? 40/323 What is prob of picking 1 i and 1 s when two letters picked without replacement from {c: 2, w: 1, o: 1, i: 3, r: 3, s: 1}? 3/55 Calculate prob of picking 2 j when two letters picked without replacement from jcjaaqcaaq. 1/45 What is prob of picking 2 y when two letters picked without replacement from {y: 10, a: 4, e: 3, j: 2}? 5/19 Two letters picked without replacement from uuxvvvvuuxuuxxxuu. What is prob of picking 1 v and 1 u? 4/17 Calculate prob of picking 2 l when two letters picked without replacement from dllddrdrm. 1/36 Four letters picked without replacement from {h: 1, i: 8, l: 4}. What is prob of picking 1 h and 3 l? 4/715 Four letters picked without replacement from {a: 8, c: 4, q: 1}. What is prob of picking 4 a? 14/143 Three letters picked without replacement from {c: 2, d: 4, n: 1, g: 6}. What is prob of picking 2 d and 1 n? 3/143 What is prob of picking 2 j and 1 y when three letters picked without replacement from {y: 2, z: 1, j: 2}? 1/5 Two letters picked without replacement from {l: 2, m: 2, r: 1, o: 1}. What is prob of picking 2 l? 1/15 Three letters picked without replacement from mmmmhmmmmmmmmmmmhm. Give prob of picking 3 m. 35/51 Calculate prob of picking 2 x when two letters picked without replacement from gtaxittixxat. 1/22 Calculate prob of picking 2 k and 1 s when three letters picked without replacement from ksssssssskskss. 33/364 Calculate prob of picking 1 m, 1 w, and 1 p when three letters picked without replacement from mpnmfmpcwmfcpwn. 24/455 Four letters picked without replacement from {t: 3, u: 3, k: 2}. Give prob of picking 1 k and 3 t. 1/35 Two letters picked without replacement from wnnddwwwwdwnwwnwww. What is prob of picking 2 w? 55/153 What is prob of picking 1 x, 1 j, and 1 i when three letters picked without replacement from ixjixxxjjkxixxixxkik? 9/76 Two letters picked without replacement from oobobboooboooo. What is prob of picking 1 b and 1 o? 40/91 Three letters picked without replacement from {g: 1, v: 6, l: 4}. Give prob of picking 2 v and 1 l. 4/11 Two letters picked without replacement from llhnnlu. Give prob of picking 2 l. 1/7 Three letters picked without replacement from {n: 3, k: 3, i: 7, s: 2}. What is prob of picking 1 k and 2 n? 9/455 Three letters picked without replacement from zoozzzzo. Give prob of picking 3 o. 1/56 What is prob of picking 1 a and 2 s when three letters picked without replacement from {i: 3, s: 4, l: 2, a: 1}? 1/20 Calculate prob of picking 3 p when three letters picked without replacement from {r: 4, p: 16}. 28/57 Two letters picked without replacement from {m: 2, r: 3, i: 2, n: 2}. What is prob of picking 2 n? 1/36 Calculate prob of picking 1 y and 3 k when four letters picked without replacement from {y: 2, k: 17}. 20/57 Four letters picked without replacement from yyyllatllllttyy. What is prob of picking 2 y and 2 t? 2/91 Four letters picked without replacement from {h: 8, i: 2, d: 7, s: 1}. What is prob of picking 2 d, 1 s, and 1 h? 14/255 What is prob of picking 3 u when three
{ "pile_set_name": "DM Mathematics" }
-11) + 5)? 1 What is the value of 0 + 5 + (1 - (2 - 0))? 4 Evaluate 1 + -8 + 3 + -1. -5 What is the value of -4 + -1 - 1 - -4? -2 What is -7 - (-10 - -5) - -5? 3 Calculate 1 + (-2 - ((-1 - 0) + 4)). -4 What is -2 + 6 + (-3 - -15 - 8)? 8 Evaluate (2 - 7 - (-4 - -3)) + 0. -4 Evaluate 4 + -6 - (1 + 1) - 1. -5 Evaluate 13 + (0 + -7 - 0). 6 What is 2 - (8 + -6 - -1) - 3? -4 What is -5 + (3 - 0 - (9 - 6))? -5 (7 - 0) + -4 + (3 - 2) 4 Evaluate (3 - 0) + -3 - (-14 - -22). -8 What is (-6 - -3) + -6 + 6? -3 Evaluate -9 + (2 - 4) + 3 - -3. -5 -4 - (7 + -6 + -10) 5 -6 + 5 + (-1 - 2) -4 Evaluate 5 - (-2 - -3 - -4). 0 Calculate 6 + -7 + 5 - -2. 6 What is the value of -7 - (-8 + 2 - -3)? -4 Evaluate -3 + (-2 - -4) - (-3 - 1). 3 What is the value of -4 + 0 + -2 - (0 + -2)? -4 What is -1 - (20 - 7 - 7) - -15? 8 What is the value of (2 - (1 - (-2 - 0))) + -3? -4 What is -2 + (3 + -7 - -4)? -2 (6 - 6) + -4 + 0 + -4 -8 1 - ((-4 - -10) + (-1 - 1)) -3 Calculate (-4 - (-4 - -2)) + 0 + 2. 0 What is the value of 0 - 3 - 1 - (0 + -3)? -1 What is 0 - 12 - (-6 + -1)? -5 Evaluate -2 - (1 + (-3 - 2) + -1). 3 What is 1 - (0 + 2 - (-5 + 8))? 2 What is the value of (-10 - -6) + 5 + 8 - 2? 7 6 - 1 - (7 + 1) -3 What is the value of (-3 + -5 - -2) + 2? -4 What is the value of -3 + 1 - (-3 - -2)? -1 What is -7 + -32 + 37 + 0 + 2? 0 What is 3 - (-5 + 5 + -6)? 9 Evaluate (0 - -2) + (5 - 8) + 5. 4 -1 + 5 - (-35 - -37) 2 -7 + ((2 - 0) + -1 - -2) -4 Calculate -4 + (4 + -1 - -3) - 7. -5 3 - (4 - -1 - -3) -5 7 + (-7 - -3 - 4) -1 Evaluate (7 - (-1 + 6)) + -1 - -3. 4 Evaluate 4 - ((2 - -4) + 3) - 0. -5 Evaluate 1 + (1 - 2) + -1. -1 What is the value of 2 + (8 - -1 - 14)? -3 -3 - (5 + -4 + -2 + -4) 2 Evaluate -5 + (-2 - -1) + (-1 - -5). -2 What is the value of 6 - 2 - (-2 - -2)? 4 What is the value of 16 - (16 + -8 + 3)? 5 What is the value of (3 - -1) + -20 + 21? 5 What is 6 - (-23 + 21 + -1 + 4)? 5 What is the value of 0 + 3 - -3 - (2 + -1)? 5 3 + (-5 + 1 - -6) 5 Evaluate -2 - 2 - -9 - 0. 5 Calculate -4 + (2 - 1) + 0. -3 What is -11 + (1 - (-11 + 2))? -1 -1 + 1 - (-5 - 0) 5 (-2 - (-3 + 2)) + -1 -2 What is 1 + -1 + -1 + 3? 2 What is the value of -1 + (-1 - (-8 + 4)) + -1? 1 9 - 1 - (-3 + 5 + 2) 4 What is the value of -3 + (4 - (-3 + 3))? 1 What is -1 + (0 - 7 - (-48 - -31))? 9 Evaluate 17 + -6 - (7 - 1). 5 What is 4 - (0 - 3 - (8 - 10))? 5 0 - (2 - 5) - 4 -1 What is the value of -5 + 8 + 2 + -1 - 1? 3 What is -2 - -1 - (1 + 1)? -3 What is 2 + -1 - (6 - 3)? -2 What is -5 + (-10 - -8) - (-7 + -1)? 1 Evaluate -4 + (-4 - -4 - -1) - -8. 5 What is the value of 0 + 11 - (-11 - -19)? 3 8 - ((2 - 7) + 4) 9 Calculate -3 - ((-2 - 4) + 6). -3 Calculate -10 + 7 - (2 + -1). -4 (-1 - 8) + (24 - 21) -6 What is -10 - (3 - (-4 - -14))? -3 What is the value of -5 - (-1 + -4 + 1)? -1 What is -9 + -5 + 7 - -6? -1 What is (-1 + 4 - -2 - 0) + -3? 2 What is -6 + -2 - (-13 - (1 - 1))? 5 Calculate -5 + (14 - 7) - (-1 + -1). 4 Calculate 0 + -1 + 1 - (-216 - -220). -4 What is -2 + (-9 - (-8 - 0))? -3 What is (3 - 5 - 3) + 1? -4 What is 4 - (4 + -2 + 6)? -4 Calculate (-2 + (6 - 0) - 5) + 2. 1 (3 - (1 - -1)) + -5 + 8 4 What is the value of 7 + 3 + -7 + 0? 3 Calculate (2 - 0) + 4 + -2. 4 Calculate 10 - 9 - (-4 - -4). 1 Calculate -8 + 5 + (11 - 4 - 11). -7 Calculate -1 + 4 + -7 + -2 + 11. 5 What is the value of 0 + (1 - (13 - 8))? -4 -5 - (-5 - (-8 + 1)) -7 Evaluate -5 + -3 + 6 - -3. 1 (1 - (4 + -3)) + 13 + -17 -4 What is the value of 1 + 4 + -2 - (-5 + 3)? 5 Calculate 0 + -2 - (1 - 3). 0 What is 1 + (0 - -3) + 1 + -1? 4 Calculate 1 + 1 - (9 - 10). 3 7 - (-4 - -2 - (4 + -7)) 6 Calculate -4 + 3 + (14 - 10). 3 What is the value of (2 - 3 - -3) + (2 - 4)? 0 Calculate -10 + 5 + (-12 - -8 - -4). -5 Calculate -3 - (1 - (-4 - -3)). -5 What is (-4 - (4 + 1)) + 0? -9 What is -4 + -4 + 4 + 7? 3 What is the value of (-7 - -4) + 4 - 1? 0 What is the value of 7 + -4 - -3 - 2 - 2? 2 Evaluate (-1 - (0 + -3)) + 1. 3 9 - 13 - (-5 - -1) 0 What is the value of 7 + (-7 + 0 - -5)? 5 What is the value of (0 - (0 + 1)) + (4 - -2)? 5 Calculate (-1 - (0 + -7)) + -4. 2 What is the value of -1 + 4 - 5 - 3? -5 -6 - (-15 - -6 - -4) -1 Evaluate 6 - (-13 + 12 - (7 + -4)). 10 What is 0 + -1 - (0 + 1)? -2 Evaluate (-1 - -6) + (-57 - -51). -1 What is 0 + -3 + -1 - 2 - -2? -4 Calculate 0 + 3 + -5 + 0. -2 5 + 2 - (1 - -4) 2 1 - (-2 + -4 + 2) 5 What is -2 - 2 - -1 - (-5 + 7)? -5 4 + -3 - (5 - 7) 3 Evaluate 9 + (-7 - -4) - 2. 4 Evaluate 4 - (-2 - (2 + -13)). -5 Calculate 7 + (-2 - -1 - 6). 0 8 - (2 + -2 + -28 + 28) 8 What is 2 + (-3 - -2 - -1)? 2 What is 0 + -3 + -1 + (0 - 0)? -4 Calculate 5 - (-2 + -1) - 5 - 8. -5 (-1 - 1) + -10 - -9 -3 What is 1 + -3 + 2 - (15 - 20)? 5 What is the value of -6 - -11 - 7 - -7? 5 What is the value of -13 + (-4 - (-6 - (-2 + 6)))? -7 What is 3 + -10 - (-2 - 2)? -3 4 - (9 + -4) - (-1 - -6) -6 Calculate -11 + (-7 - -13) - -13. 8 What is the value of (1 - (3 + 10)) + 19? 7 What is 6 + 0 + -1 + -4? 1 What is the value of 9 + -16 + 8 - (-4 - 0)? 5 What is 27 - 30 - (10 - 2)? -11 (-8 - -16) + -10 + -5 -7 What is -2 - (9 - (7 - 3))? -7 What is 4 + (-2 - (0 - 4 - -4))? 2 Evaluate (2 - (2 - -2)) + 1. -1 What is the value of 0 + -2 + (5 - 7)? -4 0 + -1 + 3 + (-4 - -5) 3 Calculate 3 + 1 - 7 - (2 - 1). -4 What is the value of 0 - ((0 - 1) + -3)? 4 Evaluate -2 + -2 + 4 - (-2 + 3). -1 What is the value of (-1 - -7) + -2 + 1? 5 What is the value of (-1 - (1 + -6)) + 4 - 1? 7 Evaluate (-3 - 1 - (-24 - -13)) + -3. 4 Calculate 2 + -4 - (-1 + -3 + 1). 1 What is the value of (6 - 12) + 3 + -1? -4 Calculate (-6 + -13 + 7 - 5) + 8. -9 0 - -1 - ((-33 - -19) + 10) 5 What is -5 + 6 + 4 + -4 + -1? 0 Evaluate -2 + 5 + -1 - -1. 3 What is the value of -1 + (0 - 1) - -6? 4 -3 + (1 - (-3 + 0)) 1 -6 - -5 - (-4 + 14) -11 What is the value of 4 + (-2 - -2) + -6 + 4? 2 Calculate (-14 - -13) + 2 + 2. 3 Calculate 1 - ((5 - 0) + -9). 5 What is -1 - 4 - -10 - 9? -4 What is 4 - (11 + -14 - (-6 - -2))? 3 Calculate -4 + (0 - 3) + 0. -7 Calculate 9 + -10 - (-3 + -1). 3 What is the value of -11 + (9 - (-6 + 2))? 2 8 - 1 - (0 - -4) 3 Calculate 5 + (-1 - (1 + 3)). 0 (-4 - 3) + (11 - -1) 5 Calculate -1 + 1 + 6 + -6 + 0. 0 What is 11 - 3 - 6 - -3? 5 What is the value of (-3 - 1) + 5 + 1? 2 Calculate -3 - (6 - 1) - -18 - 7. 3 (1 - 1) + 2 - 5 -3 Evaluate (1 - 3) + -1 + 5. 2 4 - (0 - -3) - (-8 + 5) 4 Calculate 0 - 2 - (0 - (-7 - -4)). -5 What is the value of 0 + -2 + -1 + 5? 2 Evaluate (0 - (3 - (6 + -3))) + -1. -1 What is the value of -8 - -8 - (-3 - -11)? -8 What is -6 - (2 - 4) - -8? 4 0 - (1 + -7 + 3) 3 Calculate -2 + 0 + 5 + 1 + -4. 0 What is the value of 3 + (1 - (-1 + (6 - 3)))? 2 Calculate -1 - (0 - (0 + 4 + -6)). -3 Evaluate -12 - -12 - (-11 - -18). -7 What is -1 - (2 - (-1 + -2 + 1))? -5 (-3 + 2 - 0) + 4 3 Calculate 3 + 0 + 2 + -23 + 17. -1 10 + -6 + (-8 - -3) - -1 0 Calculate -4 - -1 - (-1 - 1). -1 What is the value of -5 + (-2 + 1 - -10) - 3? 1 Evaluate 16 + (1 + -11 - 0). 6 What is -2 + 1 - (-12 + 5 + 6)? 0 Evaluate -2 - (3 - (4 + -5 + 7)). 1 Evaluate 2 - (-2 + 5 - 4). 3 What is the value of 1 + (0 - 5 - -4 - 1)? -1 6 + (3 - 6) + (2 - 9) -4 What is 4 - (-3 + (5 - 4 - -1))? 5 9 - (6 + -7 + 7) 3 -5 + 5 + (-6 - -5) -1 Calculate 2 + -7 + (4 - 9 - -6). -4 Evaluate -1 + 1 + 8 - 4. 4 11 - 3 - (3 - 0 - 0) 5 Evaluate -1 + (9 - (-9 - -13)). 4 Evaluate 20 + -24 - (2 - -1) - -3. -4 What is (-21 - (0 - 14)) + (-1 - -7)? -1 (-53 - -56 - (0 - 2)) + -11 -6 -5 - -9 - 4 - -3 - 3 0 Evaluate -10 - -14 - ((0 - 0) + 7). -3 What is -18 - -26 - (3 - 1)? 6 8 - (-7 + 22) - (2 - 1) -8 What is the value of -5 + (-12 + 2 - -8) + 3? -4 What is the value of -6 + (4 - 4 - (-3 + 1))? -4 Calculate ((0 - 0) + 1 - 2) + 6. 5 What is the value of -95 - -86 - (-7 + 1)? -3 What is (7 - 7) + (2 - 0 - -1)? 3 Calculate -65 + 57 - (-2 - 4). -2 What is (-1 - -13 - (1 + 3)) + -5? 3 What is 1 - (-2 + -2 - 1 - -4)? 2 (-3 + -2 - (-10 + 8)) + 5 2 What is (-2 - 2) + 2 - 1? -3 What is -1 + (1 + -6 + 11 - 2)? 3 What is 12 + -13 - (0 + -3 + 7)? -5 What is the value of 3 + (0 - (-7 + 8))? 2 Calculate (1 - 3) + 9 - 7. 0 Calculate -4 - (-2 - (-3 + 0 - 0)). -5 What is the value of 1 - (7 + (-3 - 1))? -2 Evaluate -1 + (-1 - (0 - (0 + 4))). 2 Evaluate 3 + 0 + (-162 - -160). 1 (-2 - (1 - -4 - 6)) + 2 1 What is the va
{ "pile_set_name": "DM Mathematics" }
5*g**2 + 4*g - 3. Let r be (-9)/3 - (-1 + -6). What is c(r)? -3 Let n(w) be the third derivative of w**6/120 + w**5/20 - w**4/6 + 5*w**3/6 - 11*w**2. What is n(-4)? 5 Let m be 1 + (-1)/1 + 2. Suppose m*t - 14 = -2. Let o(k) = -t*k + 0*k - 5 + 4. Determine o(-1). 5 Let q(c) = -c. Suppose 1 = -4*k + 17, -4*t - 3*k = -176. Suppose g = -2*a - 13, 3*a + a + t = -5*g. What is q(a)? 4 Let x(y) = -y - 4. Let v be (-2)/(-3) - 11/3. Calculate x(v). -1 Let n(g) = g + 21. Suppose -m = 5*y - 2, -8*m + 2 = -3*y - 7*m. Give n(y). 21 Let j(t) = 7*t**3 - 10*t**2 + t - 6. Let s(w) = w**3 - w**2 + w - 1. Let u(z) = j(z) - 6*s(z). Give u(5). 0 Suppose 0 = -4*i + 3*i. Suppose -n = -2*s + 3, -7 = 3*n + 2*s - 7*s. Let w = i - n. Let r(m) = 8*m - 1. What is r(w)? -9 Let k(t) = -t**2 + 6*t. Suppose 0*p - 5*i - 20 = -5*p, -4*p - 2*i + 28 = 0. Calculate k(p). 0 Suppose 3*m = -m - 4. Let o(j) = 1 + 5*j**3 + 14*j**2 + 2*j**3 - 15*j**2. Give o(m). -7 Let f(y) = y**2 - 3*y - 8. Let g be f(6). Suppose g = 2*s - 7*s. Let x be 2/s + (-6)/(-1). Let v(w) = -w**2 + 7*w - 6. Give v(x). 4 Let m(d) = d**3 - 4*d**2 - 4*d - 4. Suppose 0 = c - 3*c + 20. Let j be (-114)/(-42) - (-2)/7. Suppose v + v + j*h = c, -15 = -3*v - 3*h. Determine m(v). 1 Let a(h) = h**2 + 4*h - 1. Let o(w) = -w**2 - w - 1. Let z(v) = a(v) + 2*o(v). Let m = 4 - 5. Let x be m + 2 - (0 + -2). Determine z(x). -6 Let t be 3/(-1) + 3/1. Let j(u) = -3*u**2 + 4*u**2 + 9*u + t*u**2 + 10. Give j(-7). -4 Let l(y) = 22 + 2 + 2*y - 14 - 4*y. Calculate l(10). -10 Let j(q) = -2*q**2 + 4. Let x(w) = 5*w**2 - 7. Let n(y) = -7*j(y) - 4*x(y). Calculate n(-1). -6 Let f(o) be the second derivative of o**3/6 - o**2/2 - 2*o. What is f(1)? 0 Let o(p) = -1 + 4*p**2 + 53*p - 46*p - 3*p**2. Determine o(-7). -1 Let s(o) = o. Let q(g) = -2*g. Let m(c) = 2*q(c) + 3*s(c). Determine m(9). -9 Let w(q) be the second derivative of -q**4/24 - 5*q**3/6 + q**2 + 2*q. Let h(j) be the first derivative of w(j). Determine h(-5). 0 Suppose 16*s + 6 = 13*s. Let c(i) = -2*i**3 - 3*i**2 - 2*i - 2. Calculate c(s). 6 Let h(i) = i**2 + 2*i + 2. Let r = 4 + -4. Suppose 0 = 2*v + 5*f - 17, r = v - 2*v - f + 1. What is h(v)? 10 Let l(d) = d + 5. Let y be (3 + (-1 - 1))*-9. Determine l(y). -4 Let t = -9 + 12. Let i(f) = -3*f + 2*f**t - 3*f**2 - f**3 - 4*f - f**2. Give i(5). -10 Let g(k) = -k**3 - k**2 + k + 3. Let n be g(0). Let z(u) = n - 4 - 2*u + 5 - 3. Calculate z(2). -3 Let b be (5/(-20))/(4/(-56)). Let t(j) be the second derivative of -2*j + 0 - 1/12*j**4 + 5/6*j**3 + b*j**2. Calculate t(5). 7 Let l(j) = 3*j - 7. Let p be 0*(2 - 7/3). Suppose 4*z + 20 = p, -2*v - 3*z = -v + 15. Suppose v*g + 5 = g. Determine l(g). 8 Suppose 7 = -4*x - 9. Let n(u) = 6*u + u**2 + 7 + 3 + 1 - 5. Give n(x). -2 Let q be ((-44)/6)/((-1)/6). Let l be q/(-6) - 4/6. Let r(i) = -i**2 - 8*i + 2. Let a be r(l). Let z(d) = -d**3 + 2*d**2 + d. What is z(a)? 2 Let r = 7 - 4. Let v(c) = c**2 - 4*c + c + 2*c - c**r + 5. Give v(0). 5 Let o(b) be the second derivative of -b**5/60 - b**3/2 + 3*b**2/2 - 5*b. Let d(v) be the first derivative of o(v). What is d(0)? -3 Let b(d) be the third derivative of 1/60*d**5 + 0*d + 1/3*d**3 + 1/120*d**6 - 5*d**2 + 0 + 0*d**4. Calculate b(0). 2 Let g(x) = -1 + 8 - x - 3*x + 3*x. Determine g(7). 0 Let l(i) = -5*i + 8*i + 67 - 66. Give l(7). 22 Let i(o) = -o**2 - 3*o + 4. Let z(t) = t**2 + 3*t - 5. Let p(w) = 3*i(w) + 4*z(w). Determine p(-6). 10 Let j(l) = 3 + 2 - l**2 - 6 - 5 + 6*l. Let p be 9/2 - 3/(-6). Let w be j(p). Let u(f) = -6*f**3 - 2*f**2 + 1. What is u(w)? 5 Suppose 3*t + 3*b - 6 = 0, -4*b - 12 - 10 = -2*t. Let n(h) = h**2 - 5*h - 1. What is n(t)? -1 Let z(u) be the third derivative of 0*u - u**2 - 1/4*u**4 - 1/30*u**5 + 0 + 0*u**3. Determine z(-4). -8 Let u be 3 + 0 + (-12 - -4) + 2. Let q(z) = 4*z**2 + 5*z + 2. What is q(u)? 23 Let a(v) = -v**3 + 3*v**2 - 7*v - 2. Let l(g) = -g**3 - g**2 + 1. Let w(f) = -a(f) + 2*l(f). Determine w(-6). -2 Let h = 1 - 0. Let q(a) = h + 1 - 6*a + 1. What is q(2)? -9 Suppose -3*y + 14 = 2*o, 3*o + 0*o - 5*y - 2 = 0. Let l(p) = -3*p + 9. Let v(n) = -2*n + 6. Let d(u) = 5*l(u) - 8*v(u). What is d(o)? 1 Let k be 175/(-21) - (-4)/(-6). Let o(q) = q**3 + 10*q**2 + 10*q + 8. What is o(k)? -1 Let l(y) be the second derivative of y**5/20 - y**4/6 + y**3/6 - y**2 - 11*y. Calculate l(3). 10 Let b(p) = -83*p - 6*p**2 - p**3 + 77*p + 0*p**2 - 6. Suppose 2*k = -8, 4*r + 2*k + 24 = k. Give b(r). -1 Let k(a) = 4*a**3. Let p be k(1). Let y(z) = -3*z - p*z + 1 + 5*z + 5*z. Determine y(3). 10 Let z = -25 - -27. Let r(l) = 0 + 0 - z - l**2 - 3*l. What is r(-2)? 0 Let a(q) = q**2 - 7*q + 5. Let u be ((-3)/(-2))/((-9)/(-120)). Suppose 0 = -4*m + 11 + 1. Suppose -c + u = m*c. Give a(c). -5 Let r = 11 + -9. Suppose -2*v - 12 = -r*u, 3*u - 5 = 4. Let p(n) = -3*n - 2. Give p(v). 7 Let s(v) = v**2 + 6*v. Let g(d) = d**2 + 7*d. Let l(z) = 2*g(z) - 3*s(z). Let o = -10 + 6. What is l(o)? 0 Let u(f) = -5*f**2 + 3*f + 1. Let d(c) = 14*c**2 - 8*c - 3. Let m(i) = 4*d(i) + 11*u(i). Suppose -2*z + 7 - 1 = 3*n, 3*z + n = 2. Give m(z). -1 Suppose 6*w + 4*y - 22 = 3*w, -2*w + y + 22 = 0. Let l(a) = a**2 - 10*a - 4. Let k be l(w). Let j(q) = q**3 + 3*q**2 - 5*q - 2. Give j(k). 2 Let g(f) be the third derivative of f**4/8 - 4*f**2. What is g(4)? 12 Suppose -9 = 5*r + 6. Let f be (r/(-4))/(2/16). Let b(z) = -z**3 + 6*z**2 + z - 4. Calculate b(f). 2 Let k(o) = 14*o**2 + o - 1. Let z be k(1). Suppose 0 = -f - 2, -t + 2*f = -3*f - z. Let q(u) = -t*u**2 + u**3 - 4 + 2*u - 4 + 2 + 3. Calculate q(3). -6 Let h = 4 + -9. Let b = 2 - -2. Let c(m) = m + 1 - b + 1. Determine c(h). -7 Let w(a) = -a**3 - 7*a**2 + 7*a - 3. Let q(r) = -r**2 + 1. Let j be q(-3). Calculate w(j). 5 Let u(h) = -1. Let g(m) = 4*m - 1. Let n(s) = s + 1. Let o(t) = g(t) - 5*n(t). Let f(i) = -o(i) + 2*u(i). What is f(-5)? -1 Let d(u) be the third derivative of -u**6/360 + u**5/120 + u**4/12 - 2*u**2. Let i(r) be the second derivative of d(r). Calculate i(4). -7 Let p be -1*4 + (3 - 3). Let k = p - -6. Suppose -k*h - 1 = 5. Let m(a) = 3*a. Determine m(h). -9 Let w(r) = -r**3 - 3*r**2 + 2*r + 1. Let k(j) = j - j - j - 1. Suppose 1 = 2*h - 5. Let u be k(h). Give w(u). 9 Let j(v) = -2*v**3 + 8*v**2 + 4*v - 7. Let k(m) = 3*m**3 - 12*m**2 - 6*m + 10. Let q(z) = -8*j(z) - 5*k(z). What is q(4)? -2 Let z(d) be the first derivative of d**4/8 - 2*d**2 + 6. Let y(x) be the second derivative of z(x). Give y(-2). -6 Let a be (0 + -1)*(1 - 4). Let o(z) be the first derivative of -z**3/3 + 3*z**2/2 - 3*z + 1. Give o(a). -3 Let z(n) = -3*n + 17. Let m be (-2)/(3 - (-44)/(-12)). Let d(y) = -2*y + 9. Let a(s) = m*z(s) - 5*d(s). What is a(0)? 6 Let s(p) = p**2 - 5*p + 2. Let c be s(5). Let x(d) = -2 - d**2 + 6*d + c - 3 - 3. What is x(4)? 2 Suppose 0 = w - 1 - 3. Let o(a) = -6*a - 6*a**2 - a**2 - w + 8*a**2. Determine o(5). -9 Let u(y) = -37*y**2 + 4*y + 7. Let p(i) = 19*i**2 - 2*i - 3. Let g(r) = 5*p(r) + 2*u(r). Determine g(-1). 22 Let j(r) = r - 6. Let z be (0 - 2)*2/(-4). Suppose 2*q = 8, -2*q - 14 = n - z. Let c be 6/n - 30/(-7). What is j(c)? -2 Let b = 17 + -9. Let v be ((-2)/(-3))/(b/12). Let w(d) = -d**3 + d**2. What is w(v)? 0 Let u be (-117)/(-26)*4/6. Suppose -4*j = 12 - 40. Let w(q) = -9*q + 17. Let z(v) = 4*v - 8. Let r(g) = j*z(g) + 3*w(g). Calculate r(u). -2 Let y(t) = -6*t + 10. Let x be y(-10). Let z be x/22 - (-6)/(-33). Let s(u) = u**3 - u**2 - 4*u + 1. Give s(z). 7 Let x(y) = y**2 + 4*y - 3. Suppose -a + 4*i = 5*i - 42, -2*a + 88 = -2*i. Suppose -2*r - a = 3*t + 3*r, 0 = -r - 5. Determine x(t). 9 Let b(v) = -4*v**2 - 13*v + 17. Let t(f) = -f**2 - 3*f + 4. Let i(w) = 2*b(w) - 9*t(w). Give i(2). 4 Let q(v) be the second derivative of -v**3/6 + 16*v. Calculate q(-6). 6 Let x(w) = -w**3 - 5*w**2 + 5*w - 6. Let m be x(-6). Let f(t) = t + 2. Let y be f(0). Let r(k) = 4*k**y - 3*k**2 + 1 + 2*k - k. Give r(m). 1 Let b be (16/(-4))/(1/(-2)). Suppose -3*t = -b*t. Let c(k) = 0*k + k**3 + k**2 - 2 + 0*k. Calculate c(t). -2 Let z = 21 + -17. Let c(h) = -4*h - 2. Let k(x) = -x - 1. Suppose -5*o - 15 = -0*o. Let i(v) = o*k(v) + c(v). Determine i(z). -3 Let y(h) = -4*h**3 + h**2 - 2*h + 3. Let i(o) = 5*o**3 - 2*o**2 + o - 3. Let a(j) = 5*i(j) + 6*y(j). Let r = 5 - 0. Suppose 0 = -r*n + 16 + 9. Give a(n). -
{ "pile_set_name": "DM Mathematics" }
29/g**(7/3)*g*g*g*g**(-14/5)*g*g**(-8/3)*g assuming g is positive. g**(131/5) Simplify ((p*p*p**(-1))**(8/11)/(p**(-6)*(p/p**(-2)*p)/p))**(-2/7) assuming p is positive. p**(-82/77) Simplify z**(1/7)*z**(2/19)*(z/(z*z*z**1/z))**(-25) assuming z is positive. z**(3358/133) Simplify (n**(22/5))**(1/4)*n/(n/((n*n**(-11))/n))*n**(4/3)/n assuming n is positive. n**(-287/30) Simplify ((c*c/c**(-3/11)*c/c**(1/7))**(-2/3))**(-2/83) assuming c is positive. c**(964/19173) Simplify (z/((z/(z/(z**5*z)))/z))**(2/31)*z**(-5/4)/z*(z**(4/5)*z)/z assuming z is positive. z**(-1059/620) Simplify ((f**(-4/7)*f/(f*(f*f*f**(2/7)*f)/f*f))/(f*f/(f**(-8/5)/f)*f*f**(-3)))**(-2/5) assuming f is positive. f**(452/175) Simplify (m**(-2))**(-6/37)*m*m**(1/3)*m**(3/4)*m assuming m is positive. m**(1513/444) Simplify ((r**1)**11/(r*(r*r**(-6))/r*r/(r*r**(2/5))*r))**(-5/2) assuming r is positive. r**(-77/2) Simplify (((i/(i/((((i**0/i*i)/i)/i)/i)*i)*i)**(1/58))**(-19))**(-13/2) assuming i is positive. i**(-741/116) Simplify (b/(b*b/(b*b**(1/2)*b)))**(-4/5)*(b/(b**12*b*b))/((((b**0/b)/b*b)/b)/b) assuming b is positive. b**(-56/5) Simplify (z*z/((z/(z/(z/z**(2/11)*z)*z))/z)*z*z*z*z**(2/39))**(1/28) assuming z is positive. z**(2245/12012) Simplify (f**(-8/3)/(f*f/(f*f*f/f**(6/17))))/(f*f**(-26)*f**(-19)/f) assuming f is positive. f**(2192/51) Simplify (m**4*m*m**(-1)*(m*(m**(1/2)*m*m*m)/m*m*m)**(-2/33))**(2/91) assuming m is positive. m**(22/273) Simplify (d**2/((d/((d**(-8)*d*d)/d))/d))/(d/d**1)**(-2/27) assuming d is positive. d**(-5) Simplify (k/(k**(-29)*k)*k/(k*k**(-2/17)*k)*k)**(-2/43) assuming k is positive. k**(-990/731) Simplify y**0/y**(-6)*y**9*y*y*y**(2/27) assuming y is positive. y**(461/27) Simplify (h*((h**(-4/5)/h)/h)/h)**(-2/61)*(h**7)**(-37) assuming h is positive. h**(-78967/305) Simplify ((d**3*d*d**(11/3))**0)**34 assuming d is positive. 1 Simplify (p**(-1/3)*(p**(-3/4)*p*p)/p)/(p/(p/(p/p**(2/15))))**44 assuming p is positive. p**(-2293/60) Simplify (o*o*o**16/o)/(o/o**(2/53))*(o**(1/42))**(-4/9) assuming o is positive. o**(160544/10017) Simplify (s**(-4/11))**(2/5)*s**24*s*s*s/s**(4/9) assuming s is positive. s**(13073/495) Simplify ((((a/a**(-4/7))/a*a)/(a/((a/a**(-2/9))/a)))/((a**(6/5)*a)/(a**5/a)))**(-25) assuming a is positive. a**(-4085/63) Simplify (s/(s*s*s**(-20)))/(s*s*s**(-2/13))*(s*s**(-18))**(-1/81) assuming s is positive. s**(18284/1053) Simplify ((r**(-1/3)/r)/(r/(r*(r/(r**(-9)/r))/r)))/(r**(-1))**14 assuming r is positive. r**(68/3) Simplify ((d*d*(d**4/d)/d)**41)**(-15/7) assuming d is positive. d**(-2460/7) Simplify x**16*x*x**(11/4)*(x*x*x**(4/9)/x)/(x*x**(-2/19)) assuming x is positive. x**(13885/684) Simplify (t**(-2/15)*t**(-5))**36 assuming t is positive. t**(-924/5) Simplify v**(-1/18)/(v/(v*v*(v/(v**(1/15)/v))/v))*v**4/((v*v/v**(-6))/v) assuming v is positive. v**(-101/90) Simplify (((t/(t**(-1/9)/t))/t)/t)**(-33)*t**12/(t/(t*t**(-15))*t) assuming t is positive. t**(-23/3) Simplify (j**1/j)**34*j*j*j*j/(j/(j*j**(2/23)/j*j))*j*j**(-3) assuming j is positive. j**(48/23) Simplify ((u**12)**41)**49 assuming u is positive. u**24108 Simplify ((((((j*(j/(j**6*j*j))/j*j)/j)/j)/j*j*j)/j**(2/15))/((j/(j**(-8)*j))/(j**(-2/11)/j)))**(-39) assuming j is positive. j**(34996/55) Simplify ((g/g**(-9))/(g/(((g**10*g)/g)/g)))/(g*g**(-7/3)*g**(-1)) assuming g is positive. g**(61/3) Simplify p*(p**(1/3)*p)/p*(p*((p**(1/24)/p)/p)/p)/p*p**(-3)/(p/p**(-3/8)) assuming p is positive. p**(-6) Simplify (y**11/y*y**(3/4))/(y**(-2/11)*y*y)**37 assuming y is positive. y**(-2487/44) Simplify (b*(b*(((b*b**(-24)/b*b)/b)/b)/b*b)/b)/(b/b**(-4/13))*(b*(b*b*b**(1/10))/b)/(b/(b/b**16)) assuming b is positive. b**(-5097/130) Simplify (w**(-13)*w)**(-49)*w/w**(-3/10)*w**(-1/5) assuming w is positive. w**(5891/10) Simplify ((r/r**(-2/7))/r*(r*r**(1/4)*r)/r*(r/(r*r**(1/2)/r)*r*r)**(-50))**(-3) assuming r is positive. r**(10371/28) Simplify (((i*i*((i*i*i/(i/(i**(1/46)*i))*i*i)/i)/i*i)/i*i)/i**(2/59))/((i*i**(-29)*i)/(i/i**(-29))) assuming i is positive. i**(170949/2714) Simplify (((b**(11/2))**(-48))**(-50))**(1/33) assuming b is positive. b**400 Simplify (b**(-7)/b**(-3/5))/(b**(-3/2)*b**(2/25)/b) assuming b is positive. b**(-199/50) Simplify (y/(y**(-13)*y)*y*((y*y*y**(1/5))/y)/y)/(y/(y/y**(-3))*y)**46 assuming y is positive. y**(531/5) Simplify ((c/c**(-5)*c**6)**34)**(-10) assuming c is positive. c**(-4080) Simplify (((t*(t/(t*t**(-1/5)))/t)**2)**(2/113))**5 assuming t is positive. t**(4/113) Simplify (n*n/n**7*n*n*(n/(n/n**(-12/11)*n))/n)/(n**(7/3)/(n**(-24)*n)) assuming n is positive. n**(-1037/33) Simplify (d**(-3/4))**37/((d/(d/d**(-2/37)))/(d*d/(d/(d*d**(-1/25))*d*d)*d)) assuming d is positive. d**(-98923/3700) Simplify u**(-2)/u**(-6/5)*u**(-4/13)/(u/(u**(5/2)/u)) assuming u is positive. u**(-79/130) Simplify (z*(z*z*z**(-2)*z*z*z)/z*z**(-4/7))/((z/(z/(z/(z/z**(-11)))*z))/(((z/(z*z/z**(3/4)*z*z))/z)/z*z)) assuming z is positive. z**(313/28) Simplify (l**(8/5))**(-2/151)*l*l*l*l/(l/((l*l*l**(2/13)*l)/l))*l**(-2/19) assuming l is positive. l**(937533/186485) Simplify ((d/d**(-6)*d*((d*(d**6*d)/d*d)/d)/d)**5)**(-5/3) assuming d is positive. d**(-350/3) Simplify ((w**(-1/53)/w)/w*w**(-1/50))**(-34) assuming w is positive. w**(91851/1325) Simplify q**15/q*q*(q/(q/(q*q**(-1/9)*q)))/q*(q**(-3/4)*q)/q*((q**5*q)/q*q)/q assuming q is positive. q**(725/36) Simplify (f**(-7/6)*f**(28/9))/(f**(2/3))**(-19) assuming f is positive. f**(263/18) Simplify u**8*u**(-11)*u**(4/3)*u*u**(-1/6)/u assuming u is positive. u**(-11/6) Simplify x**(-16)/(x/(x/(x**7/x)))*(x*x**1)**7 assuming x is positive. x**(-8) Simplify i**33/i*(i**(-21)*i)/i*(i*i**(-3))**(-37) assuming i is positive. i**85 Simplify ((z/(((z**(1/17)*z)/z)/z*z*z))**(-31))**(-2/29) assuming z is positive. z**(-62/493) Simplify ((h**5*h*(h*h**0)/h)/((((h/(h**(3/7)*h))/h)/h)/((h**(2/19)*h*h)/h*h)))**(6/11) assuming h is positive. h**(8406/1463) Simplify (n**(-7)/(n**13/n))/(n**(-1/4)/n)**(-4/21) assuming n is positive. n**(-404/21) Simplify (i**(-1/13)/i*i/i**(-2/15)*i)**(-3/19) assuming i is positive. i**(-206/1235) Simplify ((u**(-2/19)*u**(-2/15)/u)**41)**(-26) assuming u is positive. u**(376298/285) Simplify (p**7*p/(p*p*p**(-2/5)/p*p)*(p**0)**(-20))**(2/11) assuming p is positive. p**(64/55) Simplify v*v**(-3/5)*v/(v*(v/(v/v**9))/v)*(v*((v/((v/(v**(2/15)/v))/v))/v)/v)/(v*((v*v/v**(-1/4)*v)/v*v)/v) assuming v is positive. v**(-703/60) Simplify (p**(9/5)*p**13)/(p*p**(1/4)*p*p**12) assuming p is positive. p**(11/20) Simplify (w**(2/9)*w/w**(-5/4)*w)/(((w/w**(-1))/w)/w)**12 assuming w is positive. w**(125/36) Simplify (p/(p*(p*p**(3/16))/p))**32/(((p/(p*(p**14/p*p)/p*p)*p)/p)/p*p**(2/15)) assuming p is positive. p**(133/15) Simplify v*v**0*v*v**16*v*v*v*v/(v*v**(20/9)*v)*v*v*v/v**(-1/5) assuming v is positive. v**(944/45) Simplify ((((n*((n*n*n**(-1/7)*n)/n)/n*n)/n)**(3/7))**(-2/141))**44 assuming n is positive. n**(-1144/2303) Simplify ((d**2*d*(d**6*d*d)/d)/(d**1)**37)**25 assuming d is positive. d**(-675) Simplify ((l**(-13))**(-8/9))**48 assuming l is positive. l**(1664/3) Simplify (l*(l*l**1*l)/l)**(2/33)/(l*l/(l**(-3/7)/l)*(l/(l**(1/8)/l))/l) assuming l is positive. l**(-2539/616) Simplify b**(2/3)/(b*b*(b/(((b**(2/3)*b*b)/b)/b))/b)*b**(-11)/b*b**(-6/13) assuming b is positive. b**(-512/39) Simplify i/i**(2/11)*(i*i**(-4)*i)/i*i*((i*i/i**11)/i)/i*i**(2/5)/i assuming i is positive. i**(-703/55) Simplify (((u**(1/4))**(-3/35))**20)**(-26) assuming u is positive. u**(78/7) Simplify ((a**(2/7)*a)**(1/38)/(a**(-2/11)*a)**50)**39 assuming a is positive. a**(-4664439/2926) Simplify (o/(o/(o/(o*o*o**(2/33))))*o*o**(-23/2)*o)**(24/7) assuming o is positive. o**(-2788/77) Simplify ((z*z**(-7)/z)/(z*z/(z*(z**(-8)*z)/z)))/(((z/((z*z/(z*z**8))/z))/z)/(z/(z/z**(-3/4)*z)*z)) assuming z is positive. z**(-99/4) Simplify k*k**10*k*k**(10/11)*(k/k**(-10))**(-37) assuming k is positive. k**(-4335/11) Simplify (r**(-1))**16*((r**(4/3)*r)/r*r)**(2/53) assuming r is positive. r**(-2530/159) Simplify (q**(4/5))**(-38)*q**13*q**(-20) assuming q is positive. q**(-187/5) Simplify w**(1/8)/(w/((w/(w*((w**(2/11)/w)/w)/w))/w*w))*w/((w/w**(-13/3))/w*w)*w*w*w*(w**(-3/4)/w)/w*w*w assuming w is positive. w**(-37/264) Simplify y**10*y**(10/7)*(y**(2/
{ "pile_set_name": "DM Mathematics" }
d 137/3654. 157122 What is the smallest common multiple of 7348 and 2068? 345356 Calculate the common denominator of -31/6 and 61/679858. 2039574 Calculate the smallest common multiple of 104052 and 18096. 416208 What is the lowest common multiple of 8 and 622? 2488 Find the common denominator of 19/2278 and 83/102. 6834 Calculate the least common multiple of 18 and 140804. 1267236 What is the smallest common multiple of 9 and 514146? 1542438 What is the common denominator of -103/56404 and -47/1298? 620444 Calculate the common denominator of 7/18 and -7/88743. 532458 What is the lowest common multiple of 11803 and 21460? 236060 What is the smallest common multiple of 3616236 and 4? 3616236 What is the least common multiple of 105198 and 298061? 1788366 What is the smallest common multiple of 4000 and 32? 4000 What is the common denominator of -49/7256 and 115/5442? 21768 Calculate the common denominator of 59/220 and 137/521430. 11471460 Calculate the smallest common multiple of 104520 and 60. 104520 What is the lowest common multiple of 6900 and 552? 13800 Find the common denominator of -113/10 and -17/40122. 200610 Find the common denominator of 95/7784 and -87/9730. 38920 What is the lowest common multiple of 5642 and 1378? 299026 What is the common denominator of 131/282 and 83/15698? 47094 What is the common denominator of -131/288 and -103/9024? 27072 What is the common denominator of -25/12 and 80/168651? 674604 Find the common denominator of -47/3352 and 99/26816. 26816 What is the smallest common multiple of 736515 and 3510? 4419090 Calculate the lowest common multiple of 36 and 46152. 46152 Find the common denominator of 109/565360 and -18/955. 565360 What is the common denominator of -7/26 and 29/202124? 202124 Find the common denominator of 151/2184 and -32/273. 2184 Find the common denominator of 13/1116 and -7/91044. 2822364 What is the least common multiple of 3 and 503760? 503760 What is the smallest common multiple of 7700 and 132? 23100 What is the smallest common multiple of 114 and 893? 5358 Calculate the common denominator of 7/71636 and -59/71636. 71636 Find the common denominator of -83/10 and 55/452074. 2260370 Calculate the least common multiple of 85104 and 63828. 255312 Find the common denominator of 125/5076 and 83/308. 390852 Calculate the common denominator of 85/1152 and 133/566400. 1699200 Calculate the lowest common multiple of 1 and 6699. 6699 Calculate the least common multiple of 18854 and 188540. 188540 Find the common denominator of 71/15064 and -7/32280. 225960 Calculate the common denominator of 47/2784 and 23/34220. 821280 Find the common denominator of -1/720 and 13/34080. 102240 What is the common denominator of 18/449837 and -47/3? 1349511 What is the common denominator of 51/74276 and 67/10? 371380 What is the lowest common multiple of 33 and 152916? 1682076 Calculate the common denominator of 99/10 and 29/408606. 2043030 Calculate the common denominator of 69/2 and -1/1194. 1194 What is the least common multiple of 100926 and 207459? 3734262 What is the smallest common multiple of 259680 and 21640? 259680 Calculate the common denominator of -47/108813 and 48/4807. 1196943 Find the common denominator of 185/1092 and -35/806. 33852 What is the smallest common multiple of 16 and 60612? 242448 What is the lowest common multiple of 7566 and 13192? 514488 What is the least common multiple of 1773 and 119382? 358146 What is the lowest common multiple of 3525 and 966? 1135050 Calculate the common denominator of -113/4640 and 117/1280. 37120 Calculate the lowest common multiple of 628156 and 212. 628156 What is the lowest common multiple of 5200 and 32? 10400 Calculate the lowest common multiple of 11144 and 7952. 1582448 Calculate the lowest common multiple of 459 and 23166. 393822 Calculate the common denominator of 31/36972 and -77/6162. 36972 Calculate the common denominator of -31/4000 and -23/50. 4000 Calculate the lowest common multiple of 3520 and 1792. 98560 Calculate the lowest common multiple of 17148 and 34296. 34296 Find the common denominator of -65/861 and -53/231896. 695688 What is the smallest common multiple of 67 and 770? 51590 What is the smallest common multiple of 1155 and 11088? 55440 Find the common denominator of -40/12231 and 41/18. 24462 Find the common denominator of -28/47333 and -64/65. 236665 What is the common denominator of -20/177489 and -61/109224? 1419912 What is the smallest common multiple of 15525 and 790? 2452950 What is the common denominator of -67/6138494 and 75/22? 67523434 What is the common denominator of 89/44 and 113/71520? 786720 What is the lowest common multiple of 61270 and 50130? 551430 What is the smallest common multiple of 8200 and 60? 24600 Calculate the common denominator of -113/40 and -19/662. 13240 What is the common denominator of -157/115884 and 103/51504? 463536 Find the common denominator of 59/163550 and -41/327100. 327100 What is the common denominator of -19/66456 and 35/5112? 66456 Calculate the smallest common multiple of 816 and 25432. 152592 Find the common denominator of -69/1315706 and 58/21. 3947118 What is the common denominator of 37/468 and 25/496236? 1488708 Calculate the lowest common multiple of 39 and 40158. 522054 What is the common denominator of -149/720 and -65/736? 33120 Find the common denominator of 81/82 and -51/8405. 16810 Find the common denominator of -37/23166 and 61/4212. 46332 Calculate the common denominator of 10/4107 and -31/22052. 2447772 Calculate the common denominator of -4/65 and -65/322. 20930 Calculate the least common multiple of 673302 and 769488. 5386416 Calculate the smallest common multiple of 171962 and 1420. 1719620 What is the lowest common multiple of 120 and 4920? 4920 Calculate the common denominator of -18/1657007 and 46/85. 8285035 Calculate the common denominator of 91/10652 and -145/24. 63912 Calculate the smallest common multiple of 1131 and 241. 272571 What is the smallest common multiple of 1088 and 32? 1088 Calculate the least common multiple of 2 and 121564. 121564 Calculate the lowest common multiple of 1798 and 310. 8990 What is the smallest common multiple of 915584 and 343344? 2746752 Calculate the common denominator of 38/2981 and 65/11382. 125202 What is the lowest common multiple of 2520 and 160? 10080 Calculate the common denominator of -61/840 and -11/59325. 474600 Calculate the common denominator of 109/1316 and -37/4888. 34216 What is the least common multiple of 250124 and 786104? 5502728 Find the common denominator of 3/22 and -41/225748. 2483228 What is the common denominator of -21/62806 and -79/12? 376836 Calculate the lowest common multiple of 1182 and 2274. 447978 Calculate the common denominator of -51/6325 and 47/2875. 31625 Find the common denominator of 52/63129 and 89/44. 252516 What is the lowest common multiple of 1988 and 105506? 1477084 Calculate the common denominator of -37/686160 and -29/8. 686160 Calculate the least common multiple of 41136 and 54. 370224 Find the common denominator of -59/34990 and -67/48986. 244930 What is the least common multiple of 10096 and 14? 70672 Find the common denominator of 39/22660 and -7/11880. 1223640 What is the least common multiple of 12 and 2023588? 6070764 Calculate the common denominator of 49/36 and -107/652242. 3913452 Find the common denominator of 47/6 and -107/25344. 25344 What is the least common multiple of 400356 and 594? 400356 What is the smallest common multiple of 3447 and 6? 6894 What is the common denominator of -1/15152 and 11/32? 30304 What is the common denominator of -53/60866 and -11/20? 608660 What is the smallest common multiple of 46550 and 147? 139650 Find the common denominator of -151/36 and 38/657. 2628 What is the common denominator of -71/444 and 5/3596? 399156 What is the common denominator of 71/23420 and -127/330? 772860 Calculate the smallest common multiple of 45276 and 44. 45276 Find the common denominator of 25/6 and -81/108296. 324888 Calculate the least common multiple of 12 and 325446. 650892 What is the smallest common multiple of 170 and 38420? 38420 What is the lowest common multiple of 45440 and 11520? 817920 What is the common denominator of 95/428 and 93/11912? 1274
{ "pile_set_name": "DM Mathematics" }
s -8420084 + a? -8420075 In base 12, what is 5 + -367777? -367772 In base 15, what is -8b2658 + -4? -8b265c In base 3, what is -20210 - 1220121212? -1220212122 In base 9, what is -1 + -520055? -520056 In base 6, what is 112221040 - 12? 112221024 In base 8, what is 32610466 + -4? 32610462 In base 8, what is -1113625 - 14? -1113641 In base 12, what is 2 - 26bba1? -26bb9b In base 15, what is -b4cd14 - -5b? -b4cca8 In base 4, what is -131212023 + -330? -131213013 In base 15, what is 2 - -1d50249? 1d5024b In base 13, what is -8165 - 643? -87a8 In base 3, what is -102 - -20220012010220? 20220012010111 In base 14, what is d8619 + -7d? d857a In base 12, what is -bb + -48266? -48365 In base 2, what is 1001110010001110 - 110010100? 1001101011111010 In base 11, what is -aa + 284968? 284869 In base 12, what is 298020 + -7? 298015 In base 15, what is 24e75 + 394? 25319 In base 3, what is -112200101 + -20220? -112221021 In base 11, what is -4a5a105 - 83? -4a5a188 In base 5, what is 131 - -21401210? 21401341 In base 8, what is -655170 + 10? -655160 In base 10, what is 9120 - 31? 9089 In base 14, what is -5570bc - -8? -5570b4 In base 6, what is 4532 - -21333532? 21342504 In base 8, what is 3500514 - -4? 3500520 In base 8, what is -24 + -13370102? -13370126 In base 3, what is -11 + -121021121110020? -121021121110101 In base 10, what is 257 + -4912946? -4912689 In base 16, what is -1 + 2384ee? 2384ed In base 6, what is 25 - -54321033? 54321102 In base 8, what is 111 + -373462? -373351 In base 11, what is 6a - 34a15? -34956 In base 10, what is 278138130 - -3? 278138133 In base 6, what is 2505244 + -30? 2505214 In base 7, what is -261 - 2661? -3252 In base 8, what is -54 - -24233040? 24232764 In base 14, what is -1da + -4506? -4702 In base 16, what is 150b02 + -38? 150aca In base 13, what is -1259 + c216? ac8a In base 14, what is -10b9d4 - 9? -10b9dd In base 9, what is 17737435 - 10? 17737425 In base 11, what is -3578 - 63? -3630 In base 12, what is -7165 + -3130? -a295 In base 2, what is -1110 + 101100000101110001111001011? 101100000101110001110111101 In base 4, what is -31 + 20210030111? 20210030020 In base 3, what is -20002 + -2212111100? -2212201102 In base 10, what is 6239 + 2033? 8272 In base 10, what is 12 - -1230161? 1230173 In base 4, what is -2132221 - -3001? -2123220 In base 13, what is 4 + -1527187? -1527183 In base 11, what is -59a + -948? -1437 In base 7, what is -106 - 1320412? -1320521 In base 2, what is 110001111001010000 + 101000? 110001111001111000 In base 2, what is 1010001011101101101 + 11? 1010001011101110000 In base 5, what is 2330 + 1004313? 1012143 In base 5, what is 1020 + 3320100? 3321120 In base 16, what is -313 - -282? -91 In base 14, what is -d742 + -498? -dbda In base 2, what is -11100 - 1001101010101101110? -1001101010110001010 In base 11, what is 15630 + -316? 15315 In base 13, what is -703 - 8211? -8914 In base 13, what is 51a2 - 218? 4c87 In base 16, what is -e987d6 + -5? -e987db In base 4, what is -132000031 + 2231? -131331200 In base 3, what is 202221202212022 + -10? 202221202212012 In base 6, what is -30 - -22010002? 22005532 In base 4, what is -10221001 + -2002? -10223003 In base 3, what is 21010212 + -121010? 20112202 In base 15, what is -168a - -bcc1? a636 In base 14, what is 1225 + -5d0? a35 In base 13, what is c9 - a88368? -a8826c In base 10, what is -3603761 - -101? -3603660 In base 15, what is b + -3120e3? -3120d7 In base 16, what is 24 - -a400? a424 In base 14, what is 92381c - d? 92380d In base 6, what is -11303132541 - 3? -11303132544 In base 9, what is 5322062 + 24? 5322086 In base 2, what is -1111001010 + -1111011100101? -10001010101111 In base 14, what is -16 + 11950c7? 11950b1 In base 7, what is -33155602 - -14? -33155555 In base 9, what is -3135 + 50208? 46063 In base 14, what is 44 - 95163? -9511d In base 5, what is -1042100123213 + -2? -1042100123220 In base 4, what is 13212231223200 + 3? 13212231223203 In base 8, what is 121656130 + -5? 121656123 In base 7, what is -103614506 - -2? -103614504 In base 7, what is -1232 - 130363? -131625 In base 15, what is -64 + 3e996? 3e932 In base 6, what is 0 - 21301154? -21301154 In base 5, what is 210322433 - -13? 210323001 In base 8, what is 0 - -27121465? 27121465 In base 11, what is -281402356 + -5? -281402360 In base 10, what is -35170 - 94? -35264 In base 12, what is 56 - -5691? 5727 In base 6, what is 1142254424 - -5? 1142254433 In base 9, what is -14 + -1443? -1457 In base 14, what is 3 - -21c5ca? 21c5cd In base 7, what is 526533 + 1034? 530600 In base 6, what is -310323310 - 15? -310323325 In base 13, what is a0 + -1a176? -1a0a6 In base 10, what is -9 + 868902? 868893 In base 3, what is 1001011201020112 - 2? 1001011201020110 In base 6, what is -14335 - 135313? -154052 In base 5, what is -10042 + -233241? -243333 In base 14, what is -1 + 5146bb? 5146ba In base 9, what is 67560 + 117? 67677 In base 11, what is 6329 - -134? 6462 In base 3, what is -12111002120000 - -12? -12111002112211 In base 16, what is 2267739e - -2? 226773a0 In base 3, what is -10 - 201222122111122? -201222122111202 In base 15, what is -8007556 + 4? -8007552 In base 2, what is -1110111100111001101 + 1011? -1110111100111000010 In base 11, what is -539a - 261? -5650 In base 8, what is -52552 + -21511? -74263 In base 9, what is 224141577 - -6? 224141584 In base 12, what is -6 + 2a5bb27? 2a5bb21 In base 9, what is -2 - 11887086? -11887088 In base 16, what is eaef4 - 54? eaea0 In base 3, what is -1221002011102 - -12? -1221002011020 In base 5, what is 14 - -1430224120? 1430224134 In base 12, what is 0 - -4335a19? 4335a19 In base 9, what is -20641 - -17212? -2428 In base 2, what is -11 - -11100101011011010111000? 11100101011011010110101 In base 3, what is -112100000102112 - -21? -112100000102021 In base 2, what is -11 - -11011101000100000100100101? 11011101000100000100100010 In base 11, what is 18a005 - 4? 18a001 In base 2, what is 100100100010110 + 100? 100100100011010 In base 8, what is 217 - 2072502? -2072263 In base 11, what is -5 - -56554272? 56554268 In base 14, what is 455a961 - 19? 455a946 In base 15, what is -158e2aa - -1? -158e2a9 In base 7, what is -1613451314 + 3? -1613451311 In base 2, what is 100011101 - -110000100111000010? 110000101011011111 In base 8, what is -17702 - 110? -20012 In base 4, what is -12000 + 2310220? 2232220 In base 11, what is -1 + -31a567? -31a568 In base 5, what is 11003424 - 12210? 10441214 In base 8, what is -35211657 - -1? -35211656 In base 10, what is 130 + -79413? -79283 In base 9, what is -2883 + 17023? 14030 In base 11, what is -2 - 5753330? -5753332 In base 6, what is 3351 + 24530444? 24534235 In base 14, what is 0 + 1b814b0? 1b814b0 In base 10, what is 14569598 - 0? 14569598 In base 16, what is -4b6a + cc7? -3ea3 In base 9, what is 6 - -111014366? 111014373 In base 2, what is -10001000100100010 - -1111011? -10001000010100111 In base 15, what is 1d + 53ab5? 53ad3 In base 5, what is -3 - 23433402021? -23433402024 In base 11, what is -2 - 52290628? -5229062a In base 10, what is -4 + 1790955? 1790951 In base 2, what is -111101 - 11111000101000000110? -11111000101001000011 In base 14, what is 12605c - -385? 126403 In base 7, what is 5040161261 - 1? 5040161260 In base 4, what is 3131 + -11223020? -11213223 In base 13, what is -2a4a895 - -9? -2a4a889 In base 9, what is -5 - -28531381? 28531375 In base 15, what is -c432e2 - -3? -c432de In base 4, what is -223 + -23103110? -23103333 In base 2, what is 100 - 10100101101010111001101101? -10100101101010111001101001 In base 8, what is -37442 + -30306? -67750 In base 15, what is -1d9ea000 - -3? -1d9e9eec In base 14, what is 4d966c + -1? 4d966b In base 2, what is 1001 + 101011001111100101111? 101011001111100111000 In base 3, what is -2011012000 + -20020? -2011102020 In base 11, what is -9a + -7637? -7726 In base 3, what is -10111022010002 - 1? -10111022010010 In base 3, what is -1222021211202212010 + 11? -1222021211202211222 In base 13, what is -4 - -4482b34? 4482b30 In base 9, what is -42700 + -476? -43276 In base 15, what is -12450 - -33e? -12111 In base 7, what is -1126043 - 66? -1126142 In base 16, what is -e7d214 - 5? -e7d219 In base 13, what is c94 + -100a85? -ccac1 In base 8, what is 5300 - -51010? 56310 In base
{ "pile_set_name": "DM Mathematics" }
)/sqrt(4)) + -1)*-4)**2. 176*sqrt(7) + 3404 Simplify ((sqrt(198)*2)/sqrt(11))/(1*sqrt(441) - sqrt(9)) - (sqrt(36)/sqrt(18) - sqrt(18))/(sqrt(9)*1*-1). -sqrt(2)/3 Simplify (-3*-3*(sqrt(468) + 2*sqrt(468))*4*-6)**2*2. 393030144 Simplify -4*1*sqrt(5)*-6 + (1 + sqrt(320))*1. 1 + 32*sqrt(5) Simplify -5*(sqrt(9)/(sqrt(3) + sqrt(75) + sqrt(3) + sqrt(3) + sqrt(3)) + (sqrt(3) - (-2 + sqrt(363))))**2. -40145/27 + 1780*sqrt(3)/9 Simplify (sqrt(539)*-2*6)**2 - (sqrt(1100)*-2 + 5). 20*sqrt(11) + 77611 Simplify ((4 + 0 + sqrt(704))**2 - (sqrt(704)*2 + 4)**2 - (sqrt(704) + 1 + 5 + (-1*(0 + sqrt(704)) + sqrt(704) - sqrt(704))))*6. -12708 - 384*sqrt(11) Simplify (-1*2*sqrt(171) - sqrt(171))/(sqrt(144)*5) + (sqrt(76)/sqrt(4)*6 - (sqrt(19) + 0 + ((3*sqrt(19) - sqrt(19)) + sqrt(19))**2)). -171 + 97*sqrt(19)/20 Simplify (sqrt(144)*-2*-1)/(sqrt(243) + 1*sqrt(243)*5). 4*sqrt(3)/27 Simplify (((sqrt(90) - (sqrt(90)*1 + sqrt(90)))*3)/sqrt(2))/(-2*(sqrt(36)*4 + sqrt(9))). sqrt(5)/6 Simplify (2*sqrt(240)/sqrt(10))/(sqrt(144)/(sqrt(12) + (sqrt(12) - sqrt(192)))). -4*sqrt(2) Simplify (sqrt(66)*-3*-4)/sqrt(6) - (-3 + 1*sqrt(1100))**2. -1109 + 72*sqrt(11) Simplify -2*((sqrt(171) + -1)*-3 + 2 + -1)**2. -3110 + 144*sqrt(19) Simplify (sqrt(2592)*-2 + sqrt(2592) + 2)**2 + sqrt(2592) + sqrt(2592) + (sqrt(2592)*2 - sqrt(2592))*6 + sqrt(2592). 180*sqrt(2) + 2596 Simplify (sqrt(45)/sqrt(576))**2 + 0 - (sqrt(25)/sqrt(5)*2 + sqrt(5) - (1*sqrt(125))**2). -3*sqrt(5) + 8005/64 Simplify ((-4*(sqrt(1715) + sqrt(35) - sqrt(35) - sqrt(35))*1)/(-6*(sqrt(45) + sqrt(720))))**2. 112/225 Simplify -3 + (sqrt(19) - (sqrt(152)*-1)/sqrt(8)) + (-3 + -2*sqrt(76))**2. 26*sqrt(19) + 310 Simplify 3 + (sqrt(1029) + 4*(sqrt(1029)*1 + sqrt(1029)) - sqrt(1029))/(((sqrt(56) - sqrt(14))*3)/sqrt(2)). 3 + 56*sqrt(3)/3 Simplify ((2*(sqrt(171) + (sqrt(171) - sqrt(171)*1) - sqrt(171)) + -1*sqrt(171)*1)/(sqrt(288)/sqrt(2)*-2))**2. 19/64 Simplify (-3*sqrt(512))/(sqrt(4) + sqrt(324) + (sqrt(324) - (sqrt(324) + sqrt(324)*1 - sqrt(324))) + sqrt(324)) + 2. -24*sqrt(2)/19 + 2 Simplify (-3*2*sqrt(16)/sqrt(2))/((sqrt(4) - (sqrt(32)/sqrt(4))/sqrt(2)) + sqrt(4) + sqrt(32)/sqrt(2))*-1. 2*sqrt(2) Simplify -6*(2 + (sqrt(1216)*2 - sqrt(1216)))*5. -240*sqrt(19) - 60 Simplify -3 + (-1*(-3 + sqrt(112) - sqrt(112)) - (sqrt(112)*3)/sqrt(4))**2. -36*sqrt(7) + 258 Simplify -1 + (1*sqrt(76) + 4)**2 + sqrt(171)/(-1*sqrt(1089)). 175*sqrt(19)/11 + 91 Simplify ((sqrt(891) + -5 + sqrt(891) + 1 - sqrt(891)) + 5 + -1 + sqrt(891))**2 + 5 + (sqrt(1100) + -2 - sqrt(1100)) + -1 + sqrt(1100). 10*sqrt(11) + 3566 Simplify (-4 + (3*-1*sqrt(2736) + sqrt(2736) - (sqrt(2736) + 1 - sqrt(2736))*-6) + 5)**2. -336*sqrt(19) + 10993 Simplify (-4*sqrt(448)*2 + -4*(sqrt(7) - sqrt(70)/sqrt(40) - sqrt(7)))**2. 26908 Simplify ((-2*2*sqrt(171) - 2*sqrt(171)*1)/((sqrt(576) - 1*sqrt(576)*4) + sqrt(576)))**2. 171/64 Simplify (sqrt(88) - (sqrt(88) - -1*(3*sqrt(88) + sqrt(88))))/sqrt(8) - (sqrt(55)/(sqrt(5)*1) + -4)**2. -27 + 4*sqrt(11) Simplify -2 + (sqrt(2) - (sqrt(8)/sqrt(100))**2) + sqrt(32)/sqrt(4)*-1. -52/25 - sqrt(2) Simplify ((3 + sqrt(4032))*-3*3*5)**2. 291600*sqrt(7) + 8183025 Simplify (sqrt(143) - ((6*sqrt(143)*2 - sqrt(143)) + sqrt(143)))/(sqrt(396) - (sqrt(396)*-2 + sqrt(396)))*-5. 55*sqrt(13)/12 Simplify ((2*sqrt(1584) + 5)**2 - sqrt(1584) - ((sqrt(22)/sqrt(2)*5)**2 + 4)) + 3. 228*sqrt(11) + 6085 Simplify (-2*(sqrt(121) + 2*sqrt(121)))/(sqrt(11) - (1*sqrt(176) + sqrt(11)))*-1. -3*sqrt(11)/2 Simplify ((1*sqrt(121)*-6 - 1*sqrt(121)*6)/(sqrt(11) + (sqrt(11) - sqrt(99)/sqrt(36)) + (sqrt(11) - -2*sqrt(33)/sqrt(3))))**2. 704/9 Simplify -5*-3*(sqrt(72) + 1 + 2*sqrt(72))**2. 540*sqrt(2) + 9735 Simplify (((-1*(2 + sqrt(500) - sqrt(500) - sqrt(500)) - sqrt(500)) + (sqrt(500) - 2*(sqrt(500) + -2*sqrt(500)) - sqrt(500)))*-2)**2 + -4. -320*sqrt(5) + 8012 Simplify -4*(((sqrt(1700) - 2*sqrt(1700)*2)**2 - (4 + -1*sqrt(1700)))*1 + 3). -61196 - 40*sqrt(17) Simplify ((-4*sqrt(68)*-2)/sqrt(4) - ((sqrt(17) + -1)*-2 + 3))**2. -100*sqrt(17) + 1725 Simplify (1*(sqrt(104)*1)/sqrt(8))**2 + (-5*(sqrt(156)*2 - sqrt(156)))/sqrt(12). -5*sqrt(13) + 13 Simplify (sqrt(12)*2 + 2 + sqrt(12) + (-3 + sqrt(12)*1)*2)**2. -80*sqrt(3) + 316 Simplify ((sqrt(56) - sqrt(168)/sqrt(3)*-3) + sqrt(56))/(-5*sqrt(32)/sqrt(4)) + 2. -sqrt(7) + 2 Simplify (sqrt(96) + 1*sqrt(96))/(sqrt(768)*-3). -sqrt(2)/6 Simplify (((sqrt(165)*2 - sqrt(165))/sqrt(5))/sqrt(11) - (4*sqrt(48) + ((sqrt(54)/sqrt(3))/sqrt(6))**2)) + 0. -15*sqrt(3) - 3 Simplify 4*(-3*(sqrt(1573) + -2) - -3*(-4*sqrt(1573) + sqrt(1573))). -528*sqrt(13) + 24 Simplify (4*(sqrt(216) + ((sqrt(216)*2 - sqrt(216) - sqrt(216)) + sqrt(216) - sqrt(216))*4 + sqrt(216)))/((-5*1*sqrt(72))/sqrt(9)). -24*sqrt(3)/5 Simplify (4*(1 + 1*(3 + sqrt(1331)) + 3*sqrt(1331)*-6))**2. -23936*sqrt(11) + 6154800 Simplify sqrt(85)/((sqrt(200)/sqrt(5))/sqrt(8)) + (sqrt(204) + (sqrt(204)*-3 + sqrt(204) + sqrt(204))*-4 + sqrt(204))/sqrt(12). 7*sqrt(17) Simplify (sqrt(2299) - ((sqrt(2299) - sqrt(2299)*-2)*3)**2) + (sqrt(76) - (sqrt(76) + (sqrt(76) - -2*sqrt(76))*-4))/sqrt(4) + -5. -186224 + 23*sqrt(19) Simplify (4*((2 + sqrt(99)*2 - sqrt(99)) + -1 + sqrt(99) + sqrt(99) + sqrt(99)*-4))**2. -96*sqrt(11) + 1600 Simplify (((sqrt(180) + sqrt(180)*2 + sqrt(180))/sqrt(3))/(sqrt(768) - (sqrt(768) - (sqrt(768) + 1*sqrt(768)))))**2*6 + 4. 47/8 Simplify ((sqrt(66) - 2*sqrt(66)*2)/sqrt(6) + (-6*(sqrt(1584) + -2) - sqrt(1584)))*6. -522*sqrt(11) + 72 Simplify (2*(5 + sqrt(8) + sqrt(32)/sqrt(4) + sqrt(8) + -2 + sqrt(8)))**2 + 3. 192*sqrt(2) + 551 Simplify (-2*sqrt(80) - sqrt(25)/(sqrt(5) - sqrt(20)))**2*4 + ((sqrt(125)*1 - sqrt(125)) + -1)*3. 977 Simplify -3*((sqrt(66) - -2*sqrt(66) - sqrt(66))*-1)/(-4*((sqrt(18)/sqrt(3) - sqrt(6)) + sqrt(6) - sqrt(6) - sqrt(6)))*-1. -3*sqrt(11)/2 Simplify ((sqrt(95) + (sqrt(95) - (sqrt(95) - sqrt(95)*-1)*-5))/(-2*sqrt(320) + sqrt(5)))**2. 304/25 Simplify (sqrt(26)*-1)/sqrt(2) + -2*sqrt(26)/sqrt(2) + sqrt(104)/(sqrt(8) - (sqrt(8) + sqrt(24)/sqrt(3))) + -2*-1*sqrt(13). -2*sqrt(13) Simplify (2*sqrt(99)*-1*-3)/(sqrt(99)/(sqrt(33)/(sqrt(3) - (sqrt(3) - sqrt(12)/sqrt(4) - sqrt(3))))). 3*sqrt(11) Simplify -4 + ((3*sqrt(156)*-3 + sqrt(156) + sqrt(156))/((1*sqrt(60))/sqrt(5)))**2. 633 Simplify 5*((sqrt(288)*-2 - sqrt(288))*-5)**2*-4. -1296000 Simplify (sqrt(567)*-5 - sqrt(4032)*-2)*1. 3*sqrt(7) Simplify (5*(-6*(sqrt(275) + sqrt(275) + 1 + sqrt(275)) - (-5*(-2*sqrt(275) - sqrt(275)) + sqrt(275))))**2. 51000*sqrt(11) + 7948400 Simplify ((sqrt(252) - (-6*sqrt(252)*2 + sqrt(252) - sqrt(252) - sqrt(252)))/sqrt(12))/(sqrt(14)/(-3*sqrt(98) + sqrt(98))). -196*sqrt(3) Simplify (sqrt(252) + 2 + sqrt(252) + -2)**2 + (-2*sqrt(343) + 1)**2. -28*sqrt(7) + 2381 Simplify sqrt(190)/(sqrt(90)/sqrt(81)) - ((2*sqrt(38))/sqrt(2) + -1). 1 + sqrt(19) Simplify ((1*sqrt(5))**2*-4 - (-3 + sqrt(45) + sqrt(5))**2) + sqrt(25)/(sqrt(5)*1*6). -109 + 145*sqrt(5)/6 Simplify (4*sqrt(11)*-2)**2 + 1 - (sqrt(11) + -5 + sqrt(176) + ((sqrt(66)*-1)/sqrt(6))**2). -5*sqrt(11) + 699 Simplify ((-6*-2*sqrt(110)*5)/(sqrt(1440) - -2*(sqrt(1440) + sqrt(1440) + (sqrt(1440) - sqrt(1440)*1) + sqrt(1440) - sqrt(1440))))**2. 11 Simplify (-4*sqrt(832)*-1 + sqrt(832) + -1 + -4)**2*-5. -104125 + 2000*sqrt(13) Simplify -3 + 1*(sqrt(1088)*-4 + 2)**2. -128*sqrt(17) + 17409 Simplify (1*((sqrt(320) - (3 + (sqrt(320) - sqrt(320)*-2) + sqrt(320) - sqrt(320))) + -2)*2 + -4)**2. 896*sqrt(5) + 5316 Simplify 0 + (-1 + 5*(sqrt(567) + sqrt(567) + 1 + sqrt(567) + sqrt(567) + sqrt(567) + 4 - sqrt(567)))**2. 8640*sqrt(7) + 227376 Simplify (2 + 1 + (sqrt(125) - 2*sqrt(125)) + (-1 + sqrt(125) + -5 - sqrt(125)) + 0 + 0)**2. 30*sqrt(5) + 134 Simplify ((sqrt(39)/sqrt(3) + -4 + -1 + sqrt(13) + -4)*-4)**2. -576*sqrt(13) + 2128 Simplify 1 + (1*sqrt(2160) - sqrt(15))/(sqrt(180) - sqrt(45)). 1 + 11*sqrt(3)/3 Simplify (sqrt(204) + (sqrt(204)*-4*3 - sqrt(204)))/(sqrt(96)/sqrt(8)*1). -12*sqrt(17) Simplify (((sqrt(108)*-2 + sqrt(108))*5)/sqrt(6))/(5*1*sqrt(144)) + -4. -4 - sqrt(2)/4 Simplify (sqrt(2106) + sqrt(2106)*-4)/(2*sqrt(242) - sqrt(2)). -9*sqrt(13)/7 Simplify (-3 + 1*(-4 + 1 + 1*sqrt(3) + (-1 + sqrt(3))*-2)*1)**2. 8*sqrt(3) + 19 Simplify (sqrt(15)/sqrt(180) + -2*sqrt(3) + -5)**2 + -1*(-3*2*sqrt(75))**2. -31979/12 + 55*sqrt(3)/3 Simplify (sqrt(847
{ "pile_set_name": "DM Mathematics" }
nd (-220)/(-14) + 16/56? 176 Suppose 35*r + 9 = 32*r. Let m be (-200)/12 - (-1)/r*-2. Let g = m + 26. Calculate the least common multiple of 2 and g. 10 Suppose -2*c + 4*m + 311 = c, -c = 4*m - 109. Calculate the lowest common multiple of ((-156)/(-20) + -6)*490/147 and c. 210 Let c be (-4)/14 + 0 - (-12765)/210. Let s = 19 - c. Find the common denominator of s and -19/254. 254 Let o(p) = -p + 2. Let d be o(6). Find the common denominator of ((-1)/9)/(d/(-218)) and -4 + (2/(-230))/(8*2/(-7624)). 2070 Let w be (-116306)/(-8) - 3/12. Let j = -479821/33 + w. Calculate the common denominator of j and 380/760*((-328)/66 + 0). 33 Let s = 808 + -787. Calculate the smallest common multiple of 162/27 + 1 + s and 84. 84 Let u = -8244/7429727 + 10/4373. Let k = -22093/5097 + u. Find the common denominator of -19/10 and k. 30 Let c(z) = z**3 + z + 2. Let g be c(0). Let m = 6 + g. Suppose -4*i - 2*j = -36, 4*j - 23 + 59 = 4*i. Calculate the least common multiple of m and i. 72 Let a = -2142 + 2762. Calculate the lowest common multiple of a and 75. 9300 Suppose -972 = 10*i - 13*i. Let z = -1456 + 1465. What is the lowest common multiple of z and i? 324 Let i(a) = -a**2 - 11*a - 10. Let t be i(-10). Suppose -4*g + g + 30 = t. What is the common denominator of g and ((-164)/(-40) + -4)*(25 + 8)? 10 Suppose -34*l = -37*l + 357. Let z be 126 + (2/6)/((-3)/27). Let n = z - l. What is the lowest common multiple of 6 and n? 12 Let o(z) = -12*z**2 - 20*z - 18. Let q be o(6). Let s = q + 576. Suppose 4*b = 5*d - 0*b - 44, d - 16 = -b. Calculate the least common multiple of s and d. 12 Let z be (0 - (-14)/8)*(9 - 1). Let l = -8 + z. Calculate the lowest common multiple of 6 and l/4*308/21*1. 66 Suppose -240 = 32*v - 28*v. What is the lowest common multiple of 186 and ((-10)/(-25))/((-6)/v)? 372 Suppose 5*q + 3 = -2. Suppose 10 + 6 = 2*p. What is the lowest common multiple of p and (1/2)/(q/(-36))? 72 Let b = -2/70115 + 36027/771265. What is the common denominator of b and 129/740? 8140 Let b(t) = t**3 + 21*t**2 - t - 17. Let r be b(-21). Suppose -4*k = 2*v - 28, -r*v - 5*k - 75 = -7*v. What is the least common multiple of 12 and v? 60 Let d = -313800843/748 - -419520. Calculate the common denominator of 39/11 and d. 748 Let u(a) = a**3 + 37*a**2 + 240*a - 56. Calculate the least common multiple of u(-20) and 216. 1944 Let n = -73963/7786 - 2/3893. What is the common denominator of (3/(-6))/(18/(-33)) and n? 12 Let a(k) = 22*k - 63. Let q be 2*(69/6 + -2). Let u be a(q). What is the common denominator of 63/16 and (-2 - 3/(-2)) + u/10? 16 Let t be 2/5 - (423/(-5) - -2). Suppose 89 + 304 = -5*f + 2*k, -4*k - t = f. Let z = -34 - f. Calculate the least common multiple of 2 and z. 90 Suppose -146 = -3*k + 3*h - 4*h, 5*k - 242 = -h. What is the common denominator of k*(1/(-9) + (-136)/(-1143)) and 25/9? 1143 Let k = -164 + 308. Calculate the least common multiple of (k/(-10))/((-79)/395) and 18. 72 Let a = 3777/28 - 18591/140. What is the common denominator of a and (-2)/(-8) + 86/(-80)? 40 Suppose 5*g + 14820 = -10*g. What is the common denominator of 9 + g/132 - 0 and 62/225? 2475 Let y(k) = -8*k - 176. Let h be y(-22). Suppose 2*v - 4*c + 4 = h, -v - c - 19 = -4*v. Calculate the least common multiple of 8 and v. 8 Let x be 15/(-25) + 3128/(-20). Let w = -145 - x. What is the least common multiple of 7 and w? 84 Suppose y + i = -8, -i + 4 = -5*i. What is the least common multiple of 7 and 16*(15/2 + y)? 56 Suppose 4*m - m - i + 33341 = 0, -5 = -i. Let o = 444381/40 + m. What is the common denominator of o and -65/8? 40 Suppose -k - 8 = 0, -305*p + 300*p = 2*k - 64. Calculate the smallest common multiple of p and 6624. 6624 What is the least common multiple of 325 and 0/6 - -195*17/3? 5525 What is the least common multiple of 184 and 504 - 11 - (6 - 19)? 2024 Let u be 4/(288/206670)*3/(-60). Let w = -583/4 - u. Calculate the common denominator of w and (-12)/30 - (-878)/(-180). 144 Find the common denominator of -11/10 and (28/168)/((-804)/208). 6030 Suppose 8*f - 416 = 144. Let c = f + -152. Let l = -48 - c. What is the least common multiple of 12 and l? 204 What is the least common multiple of 1557 and 15 + (-990)/(-12) + 6/(-4)? 49824 Let m(q) = -852*q + 480. Calculate the least common multiple of 74 and m(-1). 1332 Suppose 23*v + 21*v = -8*v. Suppose -3*s + 6 = v, -4*s - 62 = -2*r - 7*s. What is the lowest common multiple of 6 and r? 84 Suppose 2*u - 4*q = 118, 0 = 6*u - 11*u + 4*q + 313. Suppose 21*a - u = 40. What is the smallest common multiple of 58 and a? 290 Find the common denominator of 73/980 and (-376)/24*25/2450. 2940 Let t(v) = -v**3 + 13*v**2 - 13*v - 3. Let c = -22 + 25. Suppose -m - c*b = -5*b - 10, 2*m - 5*b - 16 = 0. Calculate the smallest common multiple of t(2) and m. 90 Let s be (-144775)/(-52206) - (-2)/(-4). Let l = 1/15614 + 13241/37052022. Let b = s - l. Calculate the common denominator of -54/7 and b. 77 Calculate the common denominator of ((-150)/28)/(2466/21) and 79/168. 23016 Let a be (3 + (-13506)/28)*9/1701. Let b = 53/18 + a. Find the common denominator of 81/70 and b. 490 Let k(y) = -29*y**3 - 5*y**2 + 8*y + 4. Let o be k(3). What is the common denominator of (208/o)/((-8)/15) and -7/2? 80 Let p be (1 + 7)/(3954/(-24)). Let x = p + -87071/11862. Calculate the common denominator of x and -39/56. 504 Let b = 36287 - 20683741/570. Find the common denominator of b and 67/1425. 2850 Calculate the smallest common multiple of 47168/638 - -18 - 2/(-29) and 897. 3588 Suppose x - 12 = 5*x, 2*q - 63 = x. What is the least common multiple of q and 28*7/(147/15)? 60 Let y = 26587/5 + -961817/180. Let d = -1045/6 - -446/3. Let h = d - y. Calculate the common denominator of 39/32 and h. 288 Let o(c) = -c**2 - 17*c + 8. Suppose -11*s = -4*s + 119. Suppose -2*a + 12 = u, 2*a = -2*u - a + 22. Calculate the least common multiple of o(s) and u. 8 Let r be (133382/(-10))/(31/(930/(-72))). Let v = -5562 + r. Calculate the common denominator of v and -17/32. 96 Let o(u) = -u - 21. Let k be o(-29). Suppose 2*d = -n + 32, -3*d = -2*n - k*d + 64. What is the lowest common multiple of n and 24? 96 Let s = 1474040 + -11749101/8. Let t = s + -5410. What is the common denominator of -103/36 and t? 72 Let g = -32995/10034 + 181/58. What is the common denominator of -81/2 and g? 346 Suppose -19468 = -97*m + 17198. What is the least common multiple of 270 and m? 1890 Suppose -3*f - 4*g = -18, -f - f = -2*g - 12. Let o(x) = -23*x + 62. Let w be o(f). Calculate the common denominator of 77/12 and -1*w/(-60)*(-9)/(-12). 60 Suppose 2*g + n - 1071 = 0, g - 539 = 6*n - 10*n. Let x = -15 + 18. Calculate the lowest common multiple of g and x. 1605 What is the common denominator of 1192/(-462) - ((-20)/22)/(-5) and 11/196*460/(-138)? 294 Suppose -625*q = -623*q - 4, -r - 4*q + 179 = 0. What is the least common multiple of 133 and r? 1197 What is the lowest common multiple of (((-299)/(-598))/((-2)/189))/((-3)/8) and 90? 630 Let j = 77347/4 - 19326. Calculate the common denominator of 89/108 and j. 108 Let f(x) = -604*x**3 + 10*x**2 + 9*x - 3. Calculate the lowest common multiple of 430 and f(-1). 3010 Suppose -216 = -2*d + 3*p, 18*d - 3*p + 204 = 20*d. Calculate the least common multiple of d and 470. 9870 Suppose -25*r - 90 = 1542 + 68. Suppose 0 = -4*i - 5*l + 31, -5*l = i - l - 16. Let k = i - r. What is the lowest common multiple of k and 2? 72 Let x be 3 - (-16 + -1 + 0). Calculate the common denominator of (-555)/(-2040)*-4 + (-1)/(-4 - -2) and 2 + (-98)/x*-2. 85 Suppose 19*y + 30 = 14*y. Calculate the lowest common multiple of 1 and 6 - ((-180)/6)/y. 1 Let m(u) = 3*u + 8. Let s be m(-6). Suppose -20*z = -7*z + 49205. Calculate the common denominator of (-4)/s - z/(-150) and 91/10. 30 Find the common denominator of 44/999 and 2/(-13) + (7 - (-441760)/(-64935)). 999 Let r = -17500 - -420121/24. Find the common denominator of 59/2808 and r. 2808 Let n(h) = -h + 43. Let c be n(11). Calculate the common denominator of 33/2 and (-4 + 3)/(-215)*5200/c. 86 Let c = -450364063327/35 + 12866069426. Let l = 1475340 + c. Let g = l - 469/5. Find the common denominator of g and 49/3. 21 Let n(z) = -3*z**2 + 28*z + 69. Let g(m) = 2*m**2 - 14*m - 36. Let t(l) = -5*g(l) - 3*n(l). Ca
{ "pile_set_name": "DM Mathematics" }
/5 (c) p b Let u = 608 - 605. Suppose i - 3 = s, -5*i + u*s = 2 - 11. What is the nearest to i in 2/3, 4, -0.4, 0.24? 0.24 Let d = -61 + -91. Let l = -149 - d. Let u be -2 + 3 - 5/3. Which is the nearest to -0.6? (a) l (b) -4 (c) u c Let u be (0 + (-3)/4)/(-3). Let g = 48303 - 48303.2. What is the closest to -7 in g, u, 1, 3/8? g Let z = 300 - -67. Let n = 385 - z. Suppose f + 3 - 5 = 5*j, 2*j - 8 = -4*f. Which is the closest to 0.1? (a) f (b) n (c) -0.5 c Let h = -452 - -447. Let r be h + (-344)/(-72) - 23/18. Let t be -3 + (-2)/2 + -1. What is the nearest to 0 in r, 2/15, t? 2/15 Let t = 4289 - 4275. What is the nearest to 0.1 in 0, t, 62? 0 Suppose 4*s = -8*s + 12900. Let d be 4/(-14) - s/(-700). What is the nearest to 2/13 in -5, d, 3/2? d Let n be (0 - 590/(-45))/(176/(-12)). Let b = n - -5/22. What is the closest to b in -4, -5, -0.09? -0.09 Let s = 5 + -3. Let r = s + 0. Let n be (-146 - -141)/(10/(-3)). Which is the closest to 1/4? (a) n (b) -6 (c) r a Let q = -8.857 + 8.757. Which is the closest to q? (a) 0.2 (b) 18.7 (c) 0.4 a Let r = 14.926 + -14.826. Which is the nearest to r? (a) -14 (b) 1/2 (c) -2 (d) 2/161 d Let o = 778 + -783. Let p be (-6)/(-9)*((1 - 2) + 0). What is the closest to 1 in -1, o, 2, p? 2 Let u = -76/165 + 62/55. Let p = -2/1131 - -4670/82563. Let f = -102/803 - p. Which is the closest to u? (a) 2 (b) -2/41 (c) f b Let x = 140.0083 + -0.0083. What is the nearest to -0.1 in x, 5, -0.1, -0.3? -0.1 Let p = 147 + -155. Let z(y) = 3*y + 25. Let a be z(p). Let t = -45/2 - -22. What is the closest to a in t, -0.04, -3? -0.04 Let w = 20014 - 20014.1. Which is the closest to -1/3? (a) w (b) 0.4 (c) 38 (d) -3 a Let r = -1469/33 - -133/3. Let u = 10482 + -10485. Which is the nearest to 1? (a) u (b) -1 (c) r (d) -0.5 c Let x be 4/(-4)*2*2*5. Let t = x + 19. Let i be -2 + (7 + -2 - 2). Which is the closest to 1? (a) i (b) 3/11 (c) t a Let i(m) = -20*m - 898. Let v be i(-45). What is the closest to -2/9 in 4/9, -27, v? 4/9 Suppose w + 90 = 16*w. Let t be -5 + (234/7)/w. Which is the closest to 0? (a) t (b) 0.2 (c) 0.5 b Let o = 122750 + -122751. Let r be 46/(-22) + (-4)/(-2). Which is the nearest to o? (a) -3/5 (b) r (c) -4 (d) 6 a Let k be ((-4)/(-18))/(657/(-27) + 25). Let b = -3 + 3. What is the closest to -0.1 in b, 80, 0.5, k? b Let d = 15.2 + -31.8. Let y = 17 + d. Suppose 4*j + 2 = -6. Which is the nearest to -1? (a) j (b) y (c) 0.9 a Suppose -7*k + 23 = 2. Suppose k*p - 2*p = 0. Suppose -5*l + 0*l = p. What is the closest to 0 in -4/3, l, -3? l Let y = 8300 + -8294. Let k = -6 + 6.4. Suppose 0 = -r - 4*r + 15. Which is the nearest to -2/7? (a) r (b) y (c) k c Let z = -37.1 + 0.1. Let w = z + 7. Let i = w + 41. What is the nearest to 0.1 in 1, 0.3, i? 0.3 Let u = 453.6 + -453.749. Which is the closest to 0? (a) 2 (b) -0.1 (c) u b Let i = 219.4 + -214. Let t = 0.6 + i. Let z be (76/16 - 4)/3. Which is the nearest to 1/3? (a) z (b) t (c) 2 a Let v(o) = 10*o - 87. Let r(n) = -n - 1. Let x(b) = 2*r(b) + v(b). Let s be x(11). What is the nearest to s in 8, -0.3, -0.4? -0.4 Let o = -189.6 - -94.3. Let l = 96.3 + o. What is the closest to l in -118, -2, 0.2, 0.5? 0.5 Let z = 586 + -583. Let d = 647/5 - 129. Which is the closest to -2? (a) -1 (b) d (c) z a Let r = -537 - -288. Let g = r + 2989/12. Which is the closest to 1? (a) -0.3 (b) g (c) 0.2 c Let f = -4177 + 4171. Which is the closest to f? (a) 0 (b) -0.2 (c) -0.01 (d) 4/3 b Let p be 2*(-4 + (-9)/(-2)). Let g be -1 + -1*(126/(-24) + 5). Which is the nearest to -2? (a) p (b) g (c) 0 (d) 4 b Let w be 6 + -4 - (-6 + 6). Let v = 5.8 - 6. Which is the closest to 0.2? (a) v (b) w (c) -2/11 c Let i = -24416 - -24416.5. What is the closest to -1 in -5/4, 2/9, i? -5/4 Let x = 1629 - 3771/2. Let j = x + 257. Which is the nearest to j? (a) -19 (b) -1/3 (c) -5 b Let m = -0.02 + 0.22. Let y = -54.5 - 7. Let s = -61 - y. Which is the nearest to m? (a) 4/3 (b) 0 (c) s b Let u be (-5)/(-1) + -1 + 0 + -3. Let m(k) = 94*k**2. Let t be m(u). Let p = t + -96. Which is the nearest to 1/4? (a) 0.05 (b) 1 (c) p a Let b = -2237/11175 + 2/11175. Let l = 1 - 1.3. What is the closest to l in b, 0, 5? b Let o = 213 - 235. Let q = -23 - o. Let t = 22 + -21.5. What is the closest to q in -4, t, -1? -1 Let s = 263/5 - 52. Let x = 5306.5 + -5307. Which is the nearest to -0.1? (a) 4 (b) x (c) s b Let z = -1 - -1.2. Let r be 68/18 + -4 - (-22)/423. Let w = r - -134/235. What is the closest to z in w, 2/9, -5? 2/9 Let z(u) = -u**2 - 14*u - 9. Let l be z(-13). Let y be l/(-6)*312/(-48) - 5. Which is the closest to -1/3? (a) 0.4 (b) y (c) -2 b Let l = -0.4 + -0.1. Let w = 91 - 635/7. Let y(z) = -2*z**3 + 25*z**2 - 48*z - 28. Let t be y(3). What is the nearest to t in 0, w, l? l Let d = 7 + -11. Suppose -2*f = -369*n + 371*n - 14, 2*n = 3*f - 31. Which is the nearest to n? (a) d (b) -1/3 (c) -3/2 c Let q(o) = -o**3 + 3*o - 2. Let a be q(2). Let y = -6926.8 - -6927. What is the nearest to 0.09 in a, 0.4, y? y Let x = 32.68 + -32.48. What is the closest to -29 in 2, 4/7, 1/10, x? 1/10 Let z = -4.115 - -4.115. Which is the closest to z? (a) 1/5 (b) -1 (c) -0.1 c Let r be (((-2)/7)/2)/(22*(-18)/792). Let q = 2 - 5. Let a = -3 - 2. What is the closest to -3 in r, a, q? q Let x be 12/27 + 534/135 + -5. Let q = 0.01 - 0.01. Let h = q - 3. What is the nearest to -1 in h, x, 2/13? x Let y be ((-91842)/(-175))/((-486)/(-129840)). Let r = y + -1261885/9. Let g = 1/135 - r. What is the closest to 0 in g, 5, 0.5? 0.5 Let o be 12*(6 + (8 - (-328)/(-24))). What is the nearest to 2/9 in o, 32, -0.2, 1/5? 1/5 Let i = -0.4 - -0.3. Suppose -3*l + 4 = -20. Suppose l*y = 12 + 12. Which is the closest to i? (a) y (b) 0.2 (c) 0.1 c Let q = 7282 + -21844/3. Which is the nearest to q? (a) 2 (b) -10 (c) 1/2 (d) -1/3 c Let z = 0.14829 + -20.14829. Which is the nearest to 6? (a) z (b) -3 (c) 1/2 c Let a = 33.79 - 38.79. What is the closest to 13 in 5, a, 0.5? 5 Let t = -773 - -769. Let j = 2 + 1. What is the closest to j in 0.5, 0.3, t, -2/5? 0.5 Let g = 494/3795 - -4/1265. Let u = 0.03 + 0.97. Suppose 5*p + 2*b + 41 = -2*b, b + 29 = -5*p. What is the closest to u in g, 2, p? g Let m = -17.795 + 18.295. Which is the closest to -1/3? (a) 22 (b) -1/4 (c) m (d) -3 b Let q be 40/70*4/8. Let m = 202 + -203. Which is the nearest to -2/5? (a) -0.5 (b) q (c) -0.2 (d) m a Let o = 5.587 + 0.013. Let i = 23.61 - 28.31. Let s = o + i. Which is the closest to 1? (a) s (b) -1/2 (c) 3 a Let a = 154 - 153.88. Let x = 5.12 - a. What is the closest to 1/6 in 2/7, -0.3, x? 2/7 Suppose 107*p - 286 + 72 = 0. Which is the closest to -5/6? (a) 0.3 (b) 0.04 (c) p (d) 3 b Let n = -23371 - -23353. Which is the nearest to -3? (a) n (b) 0.2 (c) -0.2 (d) -0.3 d Let t = 929.3 - 929. What is the nearest to 0.2 in t, 0.02, 7, -2? t Let r = -13246 - -66227/5. Which is the closest to 0.029? (a) 4 (b) 5 (c) 3/8 (d) r c Let w be (6/4)/((-2616)/(-448) - 6). Let c = 19/2 + w. Let s = 2.01 + -0.01. What is the nearest to s in c, 4, 2/15? c Let f = 7509 - 7514. What is the nearest to -0.1 in 103, 0.1, f? 0.1 Let n be (2/4 - (3 + -1))*(-790)/1975. What is the closest to -2/23 in 1/4, n, 0.05? 0.05 Let s = -147 + 146.39. Let u = -0.21 - s. Let n = 3 - 2.8. What is the nearest to 2/7 in -0.2, u, n? n Let s = 458 - 455. Let u be (-5 + 8)/((-1)/(-5)*7). Which is the closest to 0.1? (a) -4 (b) s (c) u (d) 2 d Let o = 5.0158 - 0.0158. Let n = -12 - -6. Let t = n + o. What is the nearest to t in 0.3, -2, 0.5? -2 Let h be 2/(-14) + (-1416)/(-14). Let g = h + -96. Which is the closest to -0.4? (a) 0.1 (b) g (c) 3 a Let p be 15/(3 + 2) - -935. Suppose -p + 3266 = 8*f. Let i = f - 3203/11. What is the nearest to -1 in -0.2, i, -0.02? -0.2 Let o = 0.54 - 0.14. Let v = 0.15 + -0.05. What is the closest to -2/3 in v, o, -1.9? v Let m = -458.186 - -463. Let c = -0.186 - m. What is the nearest to -1 in c, 0.3, -0.9? -0.9 Let v = -118327/4 - -29561. Which is the closest to -1? (a) 0.1 (b) -0.4 (c) v b Let m = -10399.2 - -10399. Which is the closest to 1.9? (a) 5 (b) -2 (c) m (d) 3 d Let h(s) = -6*s + 6. Let x be h(1). Suppose 381*i - 382*i - 2 = x. Which is
{ "pile_set_name": "DM Mathematics" }
5/(-24541))/((-9)/11)? 5/9 What is 166*5*15/(20100/(-134))? -83 What is ((((-636)/(-84))/53)/((-1)/57))/((-30)/10)? 19/7 Calculate (((-1152)/90)/(-16))/((-11)/(-165)*4). 3 Evaluate (15/14)/(22425/(-9660)*(-4)/1). 3/26 What is the value of (24534/(-235))/(-87)*(-25)/(-490)? 3/49 Evaluate (12/364)/(-54*((-390)/420)/13). 1/117 What is the value of 70/(-154)*1*(-48)/16? 15/11 What is ((-10)/(-20))/((-10)/20*8)? -1/8 Calculate ((-298)/(763476/366))/(454/28). -2/227 What is the value of (((-1)/15)/(216/2700))/((-11)/(-220)*-10)? 5/3 What is the value of 42*-13*(-31)/(-806)? -21 What is (-25)/((-250)/30)*(-217)/21? -31 Evaluate ((-378)/630)/(39/(-520)*-4*(-16)/46). 23/4 ((62307/(-138))/301)/(99/(-60)) 10/11 -86*2/(-32)*2*(-12)/((-45)/15) 43 (-9)/(-7)*(-2970)/(-2673)*(-5)/((-25)/(-21)) -6 Calculate ((-632468)/544)/131*8. -71 Calculate (-25)/11550*-7007*(-18)/28. -39/4 Calculate 377/(-1885)*(-5)/(-41). -1/41 Evaluate 6*(-37)/148*(-30)/(-1). -45 Evaluate 535800/(-139308)*13/(-7). 50/7 ((-46)/(1288/(-10)))/(4*10/84) 3/4 Evaluate (-60)/(-2)*(-9)/(-36)*124/(-93). -10 (-47)/(((-6)/8*1)/(4248/5664)) 47 What is 15532/(-2824)*6/(-264)*21? 21/8 (-44)/154*(-26)/(1872/(-11844)) -47 Calculate 23*38/((-760)/(-20)). 23 What is ((116/174)/(2/5))/((-28)/((-8316)/15))? 33 Calculate (45/105)/(77/((-164934)/(-108))). 17/2 Evaluate ((630/75)/(-21)*14)/(2/15). -42 What is ((-170)/4)/((-12)/(-8))*80/(-5200)*39? 17 ((-1608)/(-148204))/((-15)/35) -2/79 Calculate (-1683)/(-612)*5/10*5*80/(-425). -22/17 What is the value of (305/(-183))/((1/1)/(-39))? 65 What is ((-320)/12800)/(1*(-1)/2)*-2? -1/10 Calculate (5/(40/6))/((26550/59)/90). 3/20 Evaluate (-1)/((-22)/(-18))*(-2904759)/(-29341). -81 Evaluate (4956/(-26019))/(24/7)*7/(14/(-4)). 1/9 Calculate ((-3)/(-76))/((-3)/7*((-18256)/192)/163). 3/19 Calculate 35/(-9)*6/((20/(-8))/((-130)/(-104))). 35/3 Calculate (-24272)/45510*(-42)/16. 7/5 Evaluate (289/(31790/1848))/((-2)/(-5)). 42 Evaluate (973/4587)/((-2380)/(-408)). 2/55 What is (-2)/120*((-10)/(-100)*5325/284)/(-3)? 1/96 Calculate -1*4*(-390)/(-59280). -1/38 Evaluate 3327/73194*(-44)/(-20). 1/10 Calculate ((-105)/(-14))/(-15)*720/((-64)/4). 45/2 What is (((-20496)/63)/122)/(4/15)? -10 Calculate ((-3318)/(-1343)*-1)/((-8)/34)*(-36)/6. -63 ((-120)/192)/(200/384) -6/5 Evaluate (((120/(-6))/5)/(-10))/((-35)/((-6300)/36)). 2 Evaluate ((-180)/552)/((-384)/736). 5/8 What is the value of ((99/4)/1)/((-18540)/(-12360))*2? 33 What is ((-9)/75*-5)/((-80)/100*(-6)/(-312))? -39 (0/382)/(3*2/(-6)) 0 What is the value of ((-21)/(-7)*6/990)/(4*(-13)/(-390))? 3/22 Calculate 124/((-34720)/(-2940))*1/35*5/(-99). -1/66 What is the value of 153/(-323)*(-16)/216*1*-6? -4/19 Evaluate 2*((-141)/12*-6)/((-18)/6). -47 Evaluate (-292)/2*(-144)/(-4896)*-17. 73 What is ((-10)/3*-6)/((-13)/14*2075/(-5395))? 56 Calculate ((-17978)/(-4094))/((-73)/1679). -101 Evaluate (75/(-102))/((-135)/9*(-12)/(-72)). 5/17 What is the value of 37/((-23310)/(-6804))*5/(-2)? -27 Calculate -48*(-4880)/34560*(-7)/(98/21). -61/6 Evaluate (-3)/24*(-16836)/7015. 3/10 What is the value of ((-9)/(-2))/(8*(-21)/336)? -9 What is 5/(-3)*(6/5)/(5106/(-851))? 1/3 What is -186*(-215)/(-258)*6*(-1)/15? 62 What is 57/(29754/(-232))*(-2)/(-28)? -2/63 What is ((-55)/((-2420)/1254))/((-6)/(-4))? 19 Calculate (-16)/(-3)*13512/(-9008). -8 Calculate -7*((-1248)/273)/16. 2 56/(-5600)*-10*-195*(-8)/(-3) -52 What is the value of (-21105)/(-7035)*(-74)/((-8)/(-4))? -111 What is 162696/(-67790)*280/(-6)? 112 (-14)/(490/12810*427) -6/7 What is ((-18900)/(-630)*1/14)/(((-120)/35)/(-4))? 5/2 -9*(-322)/(-1134)*(-35)/((-385)/(-66)) 46/3 What is the value of 31/(-2)*(-30)/(-9)*11/110*6? -31 What is ((6600/2750)/((-18)/(-320)))/4? 32/3 Calculate (-150436)/82056*222/33. -37/3 Evaluate -3*(-2)/27*(-23265)/(-1410). 11/3 Evaluate 0/((-66)/(-561)*-17). 0 Calculate (2646/(-180))/((-1)/10*(-71)/((-3195)/810)). 49/6 -2*(-54)/(-334476)*38 -2/163 (-5)/(-231)*-31*462/11935 -2/77 What is the value of ((-17)/((-561)/(-22)))/(8/((-48)/42))? 2/21 Calculate ((-85)/((-18445)/(-496)))/(18/((-28)/(-8)*-2)). 8/9 What is the value of ((-47)/(-4))/(212/742*(-91)/104)? -47 What is 3390/1356*(-1)/(-60)*24? 1 What is (1/(-3))/((-10)/(-120)*4)*12/(-342)? 2/57 Evaluate (-5589)/138*732/(-18117). 18/11 (-3)/((3654/84)/29) -2 Calculate 129*5/(-5)*34/(-17)*5/30. 43 What is the value of (320/24)/4*((-136)/272)/((-15)/4)? 4/9 What is the value of 8/(2/1)*27*1736/(-5859)? -32 (((-364)/(-65))/(-14))/((8/(-2))/280) 28 What is the value of (-1)/(-3)*(-315)/(-21)*(-6258)/2100*10? -149 What is (255/153)/((-14)/(-42)*(-85)/3)? -3/17 -3*(-1)/(-1)*17/(-153)*36/(-246) -2/41 What is (-12270)/2454*11*-1? 55 Evaluate -22*(-804)/(-2948)*3/1467. -2/163 What is (-16*19/13680)/(80/32)? -2/225 What is the value of (1728/(-8832))/(24/92)? -3/4 70/(-10)*324/(-21)*5/10 54 What is the value of ((-14)/98*-7)/(56/48)*35? 30 Calculate 2700/162*279/(-3410). -15/11 (3/(-6))/(70/(-120)*(132/224)/11) 16 Evaluate ((-405)/1080)/(27/48). -2/3 Evaluate (118/(2596/(-22)))/(((-2)/77)/2). 77 Evaluate (-3)/12*2048/(-896)*(-42)/92. -6/23 What is the value of 13/(-7)*3073/(-1244126)? 1/218 1/((83/4067)/((264/(-48))/(7/(-2)))) 77 ((8/((-304)/38))/((-567)/(-15)))/((-70)/168) 4/63 (106/1)/(89/(74760/(-80))*-21) 53 What is the value of ((1/(-12))/((-5)/(-40)))/(((-264)/1116)/(-11))? -31 Calculate 2/(30/5)*(-2412)/(-67)*-1. -12 What is (-1*36/5)/(264/275*214/(-3852))? 135 (36/((-34452)/(-145)))/((-25)/(-45)) 3/11 Evaluate 338/36*(-26928)/(-116688). 13/6 What is the value of ((4/2)/(-1))/((-4308)/(-68928))? -32 (2*(-11)/66)/(50/(-5250)) 35 What is 3*(-9)/81*63/133? -3/19 What is (-14)/(((-320)/(-224))/5)? -49 (-8*8/(-64))/(((-310)/(-1085))/((-4)/7)) -2 ((-26600)/342)/70*9/2 -5 What is the value of (-122)/(-6)*(-3051)/(-4068)? 61/4 17666/(-9052)*-31*-2 -121 ((10/(-16))/5)/(211990/(-78880)) 2/43 Evaluate (-55*(-77)/71995)/((4/6)/(2/(-3))). -1/17 Calculate ((-7)/(-4))/(((-3210)/1050)/107*(-15)/(-12)). -49 Calculate (3/(108/(-75)))/((-1320)/(-7920))*(-36)/(-10). -45 Calculate ((-16)/1120*65)/((-12)/(-6))*-4. 13/7 5580/(-775)*(-25)/(-10)*4 -72 68/35*32235/(-25788) -17/7 Evaluate -387*(-67)/(51255/(-170)). -86 What is the value of ((-1056)/616*1/405)/((-2)/20*-4)? -2/189 Calculate (97/(8730/(-240)))/(-34). 4/51 (22*(-102)/(-595))/(632/1580) 66/7 Evaluate 8/12*((-6)/8)/(1533/66430). -65/3 Evaluate (-6)/(-20)*30/(-13680)*-20. 1/76 What is (4/(-85))/((-2384)/(-1192)*22/10)? -2/187 Calculate ((-5*(-92)/(-115))/(-46))/(-1). -2/23 What is ((-17338)/8669)/((-2)/(-19))? -19 Calculate (40*(-90)/75)/((-40)/20). 24 Calculate (48*2)/(3/3)*(-668)/(-1002). 64 ((193/(-386))/((-3)/(-252)))/(6/(-2)) 14 Calculate 1/(((-172)/258)/(((-68)/3)/(-2))). -17 Calculate ((248/(-7))/(-4))/(2655/18585). 62 (-504)/(-24)*(-60)/42 -30 (168/(-2380))/((-3)/3*102/170) 2/17 What is the value of (-6)/(-17)*20/(-5980)*23*-13? 6/17 Evaluate ((2/(-6))/(5*(-60)/450))/((-4)/280). -35 Calculate (-65)/(-4160)*64*30/21. 10/7 Calculate ((-31500)/(-560))/225*-8. -2 (513/570)/((-14)/1176*14) -27/5 What is (-3)/(-9*6/486)? 27 Evaluate (((-5)/30)/(3*(-1)/(-3)))/((-210)/(-40)). -2/63 What is (3675/(-400))/((-469)/134)? 21/8 What is 41/(164/(-300))*(-144)/1200? 9 Calculate (3*(-134)/(-18))/(28176/11740*5/36). 67 Calculate ((-189)/(-69))/(268/6164). 63 Calculate (-27)/18*(-155)/(-3)*(-292)/(-365). -62 Evaluate (1530/(-180))/(33/462). -119 Calculate ((-7)/462*2)/((-1834)/27510). 5/11 What is 4*2*(-567)/252? -18 Evaluate (-8)/(-640)*9/(9/25). 5/16 Calculate ((-56)/(-44))/(2040/(-1122)). -7/10 What is the value of (((-3600)/55)/12)/((-646)/(-10659))? -90 Evaluate ((-3444)/(-34153))/(((-8)/(-224)*12)/(3/(-2))). -6/17 Calculate (108/324)/(((-2)/(-80))/(162/(-135))). -16 Evaluate -3*(-169)/((-337155)/532). -4/5 Calculate 49194/(-16398)*8/(-150). 4/25 What is 2/((-330)/(-1245))*(-627)/(-57)? 83 Evaluate (((-288)/(-12))/(11/((-143)/(-130))))/((-10)/25). -6 What is 953/(-48603)*10/(80/(-204))? 1/2 ((-54)/(-1260)*5)/(318/(-1060)) -5/7 (((-4118)/142)/(-435))/((-6)/50) -5/9 2700/1620*141/(-5) -47 Evaluate (((-6)/(-45))/((-68)/(-1190)))/((-4)/(-36)). 21 What is the value of -7*-84*(-7)/2744? -3/2 124/(-11284)*(-21)/6 1/26 Calculate ((8/(-88))/(2/(-638)))/((-4)/((-12)/(-3))). -29 What is (-86)/2*1*(
{ "pile_set_name": "DM Mathematics" }
1 f and 1 i? 4/21 Two letters picked without replacement from oioii. What is prob of picking 1 o and 1 i? 3/5 Four letters picked without replacement from spsssspspss. What is prob of picking 1 s and 3 p? 4/165 What is prob of picking 2 l when two letters picked without replacement from dldldl? 1/5 Two letters picked without replacement from {w: 1, p: 3, j: 2, m: 1}. Give prob of picking 2 j. 1/21 Three letters picked without replacement from tubbbyubbybbyybbbyb. What is prob of picking 2 y and 1 u? 20/969 Two letters picked without replacement from uupfrfffpfffpffuuxfu. Give prob of picking 1 f and 1 p. 3/19 Two letters picked without replacement from xxbfayfaxmbfa. Give prob of picking 1 x and 1 f. 3/26 Three letters picked without replacement from iiuiiuiiiuiiiiuiuii. Give prob of picking 3 i. 364/969 What is prob of picking 1 d, 1 s, and 1 w when three letters picked without replacement from sddwfs? 1/5 Calculate prob of picking 1 j, 2 x, and 1 y when four letters picked without replacement from jjyycjejyxxj. 1/33 Calculate prob of picking 2 i and 2 c when four letters picked without replacement from icuiuuiiuiiuiic. 4/195 Calculate prob of picking 2 l when two letters picked without replacement from lyll. 1/2 Calculate prob of picking 1 d and 1 i when two letters picked without replacement from hiphdrpdhsihipp. 2/35 What is prob of picking 1 h, 1 e, and 1 r when three letters picked without replacement from {y: 2, k: 4, e: 3, g: 1, r: 3, h: 6}? 18/323 Two letters picked without replacement from {u: 3}. What is prob of picking 2 u? 1 Two letters picked without replacement from iiziiziiiizzizzz. Give prob of picking 2 i. 3/10 Calculate prob of picking 4 i when four letters picked without replacement from xxixxixxxxixxxxxix. 1/3060 Two letters picked without replacement from kkiiiiwiwiwkk. Give prob of picking 2 i. 5/26 What is prob of picking 2 z and 1 p when three letters picked without replacement from {j: 2, p: 1, z: 4, q: 2, w: 3}? 3/110 Three letters picked without replacement from {q: 3, u: 2, c: 1, n: 2, o: 3, j: 4}. Give prob of picking 2 j and 1 c. 6/455 What is prob of picking 1 k and 1 h when two letters picked without replacement from {r: 8, h: 11, k: 1}? 11/190 What is prob of picking 4 w when four letters picked without replacement from {w: 6}? 1 Two letters picked without replacement from {c: 1, h: 4, i: 5, w: 4, x: 1, s: 4}. Give prob of picking 1 x and 1 s. 4/171 Three letters picked without replacement from aakkkkkkkk. Give prob of picking 3 k. 7/15 Two letters picked without replacement from hwwhhwvhwhhwdhhwjww. Give prob of picking 1 h and 1 d. 8/171 Four letters picked without replacement from ffffffqtsrfqfsuqt. What is prob of picking 2 t and 2 s? 1/2380 Three letters picked without replacement from {f: 7, o: 1, e: 4, a: 1, x: 3}. What is prob of picking 1 x and 2 f? 9/80 Three letters picked without replacement from {y: 7, i: 1, t: 10}. Give prob of picking 1 i and 2 t. 15/272 What is prob of picking 4 j when four letters picked without replacement from {j: 9, z: 2}? 21/55 Three letters picked without replacement from wlwwwwww. What is prob of picking 3 w? 5/8 What is prob of picking 1 u and 1 w when two letters picked without replacement from twiui? 1/10 Two letters picked without replacement from {f: 7}. What is prob of picking 2 f? 1 What is prob of picking 2 e and 1 l when three letters picked without replacement from osoaleye? 1/56 What is prob of picking 1 l and 1 q when two letters picked without replacement from {z: 6, l: 1, q: 5, u: 2, n: 1, o: 1}? 1/24 Calculate prob of picking 1 h, 1 x, 1 j, and 1 g when four letters picked without replacement from {g: 7, j: 1, h: 2, x: 9}. 21/646 What is prob of picking 3 n when three letters picked without replacement from knnnnnnnkk? 7/24 Calculate prob of picking 1 l and 2 i when three letters picked without replacement from {i: 2, l: 3, p: 4}. 1/28 Two letters picked without replacement from zfffzf. Give prob of picking 2 z. 1/15 Calculate prob of picking 2 n and 2 f when four letters picked without replacement from {v: 3, n: 3, f: 4, e: 1}. 3/55 What is prob of picking 2 z when two letters picked without replacement from iizizi? 1/15 Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, q: 2, k: 1, v: 3, h: 1}. 1/15 What is prob of picking 1 p, 1 j, and 2 a when four letters picked without replacement from {j: 2, p: 2, u: 2, a: 6}? 4/33 Three letters picked without replacement from ynxxnccxxyyyrx. Give prob of picking 1 x, 1 c, and 1 n. 5/91 Calculate prob of picking 2 f and 2 h when four letters picked without replacement from hhfmcwrf. 1/70 Two letters picked without replacement from wjnnccwqrnqqncw. What is prob of picking 2 w? 1/35 Three letters picked without replacement from {o: 1, q: 1, f: 2, r: 1, c: 2, u: 2}. Give prob of picking 1 o, 1 q, and 1 c. 1/42 Three letters picked without replacement from {o: 7, t: 5, m: 4, b: 2, d: 1, c: 1}. What is prob of picking 1 t and 2 m? 1/38 Calculate prob of picking 1 o and 1 m when two letters picked without replacement from xwmvvmwwwmoomvmowww. 5/57 Two letters picked without replacement from {g: 1, j: 1, m: 1, y: 1, f: 1}. What is prob of picking 1 y and 1 j? 1/10 Three letters picked without replacement from zsgzmmsjqggmmq. What is prob of picking 2 z and 1 j? 1/364 Four letters picked without replacement from {n: 6, o: 7}. What is prob of picking 4 n? 3/143 Calculate prob of picking 3 m when three letters picked without replacement from {m: 3, c: 13}. 1/560 Two letters picked without replacement from fcvcavfvvfffaafcfaff. Give prob of picking 2 a. 3/95 Four letters picked without replacement from xmgmmtgoxxaxoot. Give prob of picking 2 x and 2 g. 2/455 Calculate prob of picking 1 l, 1 t, 1 j, and 1 b when four letters picked without replacement from tjtllb. 4/15 Three letters picked without replacement from {u: 2, s: 1, a: 3, y: 1}. What is prob of picking 2 u and 1 a? 3/35 What is prob of picking 1 f, 1 z, and 1 g when three letters picked without replacement from {f: 2, z: 1, s: 2, g: 1}? 1/10 Three letters picked without replacement from zhwgt. What is prob of picking 1 h, 1 g, and 1 t? 1/10 Four letters picked without replacement from hvhhvvvhvv. Give prob of picking 1 v and 3 h. 4/35 Two letters picked without replacement from {q: 2, e: 2, j: 1}. Give prob of picking 1 e and 1 j. 1/5 Three letters picked without replacement from {z: 1, e: 2, b: 6, d: 7, g: 1}. What is prob of picking 1 d, 1 b, and 1 g? 21/340 Calculate prob of picking 4 d when four letters picked without replacement from dbbbbdddbb. 1/210 Four letters picked without replacement from {h: 2, d: 1, k: 4, n: 3}. What is prob of picking 1 h and 3 n? 1/105 What is prob of picking 2 n, 1 x, and 1 i when four letters picked without replacement from xxnniinniinn? 8/33 What is prob of picking 1 h and 1 z when two letters picked without replacement from {z: 2, h: 9}? 18/55 Two letters picked without replacement from {d: 2, v: 5, r: 7, b: 3, e: 3}. Give prob of picking 2 d. 1/190 Four letters picked without replacement from {s: 1, q: 3, d: 3, w: 2, p: 1}. Give prob of picking 1 w, 1 s, and 2 q. 1/35 Calculate prob of picking 1 y and 3 l when four letters picked without replacement from lyoueylloyyyyoeyo. 1/340 What is prob of picking 1 m and 3 v when four letters picked without replacement from vvvvmvmvvvvvvvvvvm? 91/204 What is prob of picking 1 w and 1 u when two letters picked without replacement from ukhhkwhhhhhkukhkkhu? 1/57 Three letters picked without replacement from {b: 3, u: 1}. What is prob of picking 1 u and 2 b? 3/4 Calculate prob of picking 1 r and 1 x when two letters picked without replacement from ooxrttootrlrtrxlrdrr. 7/95 Three letters picked without replacement from {t: 2, d: 2, i: 4, j: 3}. Give prob of picking 1 d, 1 j, and 1 i. 8/55 What is prob of picking 1 h, 1 z, and 1 y when three letters picked without replacement from hhydhhhhydzlzd? 6/91 Two letters picked without replacement from {w: 1, z: 1, s: 1}. What is prob of picking 1 s and 1 w? 1/3 Two letters picked without replacement from {h: 2, f: 2}. Give prob of picking 1 f and 1 h. 2/3 Two letters picked without replacement from iawkiga. Give
{ "pile_set_name": "DM Mathematics" }
42 Calculate prob of sequence dkdd when four letters picked without replacement from iffiniiddmkmmdmmf. 1/9520 Two letters picked without replacement from {q: 1, l: 1, k: 1}. Give prob of sequence kl. 1/6 What is prob of sequence lly when three letters picked without replacement from {z: 3, l: 12, y: 3}? 11/136 Two letters picked without replacement from ikkiiiikiikkikkkikk. What is prob of sequence ki? 5/19 Three letters picked without replacement from obb. Give prob of sequence obb. 1/3 What is prob of sequence chx when three letters picked without replacement from {x: 7, c: 1, h: 1}? 1/72 Three letters picked without replacement from {j: 3, m: 3}. What is prob of sequence mjm? 3/20 Four letters picked without replacement from {q: 4, w: 4, g: 6}. What is prob of sequence wqwg? 12/1001 What is prob of sequence jh when two letters picked without replacement from {r: 1, j: 2, i: 4, h: 1, s: 3}? 1/55 Calculate prob of sequence vv when two letters picked without replacement from baavkvvv. 3/14 What is prob of sequence idy when three letters picked without replacement from {i: 1, c: 5, d: 1, y: 2}? 1/252 Calculate prob of sequence akk when three letters picked without replacement from sksssaassakzz. 1/286 Calculate prob of sequence wuww when four letters picked without replacement from {u: 5, w: 15}. 455/3876 Three letters picked without replacement from {f: 1, y: 2, z: 1, v: 1, m: 3, j: 3}. Give prob of sequence jjj. 1/165 What is prob of sequence isi when three letters picked without replacement from sissssssssssssiiis? 7/204 Three letters picked without replacement from {x: 3, c: 10, m: 4, t: 1, p: 1}. Give prob of sequence mmp. 2/969 Two letters picked without replacement from dfxavtvvvxdddxvvd. What is prob of sequence fd? 5/272 What is prob of sequence ew when two letters picked without replacement from ekkweaaaaeeewkeekea? 8/171 Calculate prob of sequence rtrb when four letters picked without replacement from {x: 1, r: 2, b: 4, t: 2, g: 5}. 2/3003 Calculate prob of sequence ffee when four letters picked without replacement from aaeaaaaffffafef. 1/546 Calculate prob of sequence sagg when four letters picked without replacement from gsgas. 1/30 Four letters picked without replacement from {f: 9, z: 5, g: 3, w: 1}. Give prob of sequence gzgw. 1/2448 Four letters picked without replacement from {d: 1, e: 3, v: 12}. Give prob of sequence vvev. 33/364 Two letters picked without replacement from {t: 2, q: 2, o: 2, x: 2}. What is prob of sequence xx? 1/28 Two letters picked without replacement from mdgmmmmylmmddcym. What is prob of sequence my? 1/15 Calculate prob of sequence nm when two letters picked without replacement from {h: 3, c: 4, m: 9, e: 1, n: 2}. 1/19 Three letters picked without replacement from {j: 3, y: 2, v: 5, m: 3, h: 5}. Give prob of sequence vym. 5/816 Calculate prob of sequence aa when two letters picked without replacement from {a: 5, u: 1, b: 3}. 5/18 Calculate prob of sequence ckck when four letters picked without replacement from ckckkck. 3/35 Four letters picked without replacement from jdcjjccjrj. Give prob of sequence dcjj. 1/84 What is prob of sequence xxx when three letters picked without replacement from syxyxxxysyyyy? 2/143 Two letters picked without replacement from {o: 6, l: 4, k: 3, w: 2}. Give prob of sequence wl. 4/105 Three letters picked without replacement from {a: 1, j: 1, b: 3, u: 4, v: 1, m: 4}. Give prob of sequence amj. 1/546 What is prob of sequence ty when two letters picked without replacement from {t: 2, j: 2, y: 2}? 2/15 What is prob of sequence ng when two letters picked without replacement from attntgtntn? 1/30 Two letters picked without replacement from {a: 1, m: 1, w: 2, l: 2}. Give prob of sequence wl. 2/15 Three letters picked without replacement from yoyyqqdqvoqqiyq. What is prob of sequence doy? 4/1365 Two letters picked without replacement from {e: 1, l: 11}. What is prob of sequence ll? 5/6 What is prob of sequence xdnb when four letters picked without replacement from bxaaaaxaxndxv? 1/4290 Calculate prob of sequence ar when two letters picked without replacement from vzzzrzava. 1/36 Four letters picked without replacement from {g: 1, m: 1, f: 5, w: 2, r: 7, n: 4}. What is prob of sequence wngf? 1/2907 Two letters picked without replacement from {m: 3, w: 3, i: 3, s: 4}. What is prob of sequence mm? 1/26 Four letters picked without replacement from {a: 3, m: 2, l: 5, i: 1, n: 3, j: 1}. What is prob of sequence mlml? 1/819 Calculate prob of sequence yyyn when four letters picked without replacement from {y: 14, n: 4}. 91/765 Calculate prob of sequence jzjj when four letters picked without replacement from zzzzjjj. 1/35 Three letters picked without replacement from {n: 1, p: 1, m: 1, l: 1, h: 1}. Give prob of sequence hpl. 1/60 Three letters picked without replacement from fkekckckccfcffeckce. Give prob of sequence kkk. 10/969 Three letters picked without replacement from ssdsdssdssssdi. Give prob of sequence dds. 9/182 Four letters picked without replacement from rrffp. What is prob of sequence ffrr? 1/30 What is prob of sequence ebj when three letters picked without replacement from {e: 1, a: 1, b: 1, j: 1, v: 1, w: 2}? 1/210 What is prob of sequence pzz when three letters picked without replacement from {z: 3, p: 2, i: 3, s: 1, c: 4, v: 2}? 2/455 Calculate prob of sequence wj when two letters picked without replacement from twjwwcwcctwj. 5/66 What is prob of sequence gvw when three letters picked without replacement from wggvvvvgvjvjvvwg? 2/105 Calculate prob of sequence dd when two letters picked without replacement from ldlllddh. 3/28 Four letters picked without replacement from {x: 1, e: 5, k: 3, d: 2, n: 8}. What is prob of sequence ndkd? 1/1938 Two letters picked without replacement from kffdfbdbbbkbbkb. What is prob of sequence kd? 1/35 What is prob of sequence pbbe when four letters picked without replacement from {e: 1, p: 1, b: 2, z: 1, k: 2}? 1/420 What is prob of sequence gddg when four letters picked without replacement from dgdddgdddddddggddddd? 8/323 What is prob of sequence rj when two letters picked without replacement from {r: 19, j: 1}? 1/20 Two letters picked without replacement from {j: 7, l: 9}. What is prob of sequence jl? 21/80 Three letters picked without replacement from kklkklkkklk. What is prob of sequence lkk? 28/165 Calculate prob of sequence xxj when three letters picked without replacement from jjxxxxuuujujxxj. 5/91 Four letters picked without replacement from {a: 7, p: 1, v: 5}. Give prob of sequence paav. 7/572 Two letters picked without replacement from {x: 2, a: 1, u: 2, b: 1}. What is prob of sequence xx? 1/15 Calculate prob of sequence am when two letters picked without replacement from {t: 1, m: 2, a: 2}. 1/5 Calculate prob of sequence ii when two letters picked without replacement from {w: 5, o: 1, i: 6, s: 6}. 5/51 Three letters picked without replacement from {x: 1, f: 1, r: 1, s: 10}. What is prob of sequence sfs? 15/286 Two letters picked without replacement from alllalalaoaalalllo. Give prob of sequence aa. 7/51 Three letters picked without replacement from hhwwwwhkhkhkhwkh. Give prob of sequence hhw. 1/16 Calculate prob of sequence kgp when three letters picked without replacement from ygpyytyktynggyyy. 1/1120 Four letters picked without replacement from bsbzmsbfb. What is prob of sequence zbbs? 1/126 What is prob of sequence ryyu when four letters picked without replacement from {y: 6, r: 4, u: 3}? 3/143 Three letters picked without replacement from qnmttqa. Give prob of sequence nqq. 1/105 What is prob of sequence fww when three letters picked without replacement from {f: 3, e: 5, w: 3}? 1/55 Two letters picked without replacement from {q: 6, j: 2}. What is prob of sequence qj? 3/14 Three letters picked without replacement from grfgggfggfffidgdgdr. Give prob of sequence irf. 5/2907 Calculate prob of sequence na when two letters picked without replacement from {n: 1, w: 3, a: 1}. 1/20 Two letters picked without replacement from ukbfbmy. What is prob of sequence bf? 1/21 Calculate prob of sequence yy when two letters picked without replacement from yyyynyynsyyyye. 45/91 Two letters picked without replacement from {z: 5, x: 8, u: 2}. Give p
{ "pile_set_name": "DM Mathematics" }
*l + 8. Let x(m) = -m. Let w(c) = d(c) + 2*x(c). What is the units digit of w(6)? 8 Suppose s + 3*s - 32 = 0. What is the units digit of s? 8 Suppose -3*u - 31 = -5*f, 3*f + 4*u - 49 + 13 = 0. What is the units digit of f? 8 Suppose -1 + 105 = 4*o. What is the tens digit of o? 2 Let w be (1 - 0)/((-6)/36). Let l(h) = h**3 + 8*h**2 + 8*h + 6. Let g be l(w). Let u = g + -13. What is the tens digit of u? 1 Let d(o) = -o**2 + 5*o - 2. Let t be d(3). Suppose 3*y + 3 = -3*v, -t*y + 3*v + 27 = 3. What is the units digit of y? 3 Let b be -8 + 5 - (-8 - 1). Suppose 2*z = 5*z + b. Let o(p) = -9*p + 1. What is the units digit of o(z)? 9 Let q(f) = f**2 - 2*f - 3. Let y be q(-7). Let r be y/(-18) + 1/3. What is the units digit of r*((-24)/9 + -1)? 1 Let s be 2/9 + (-214)/(-9). Let w(p) = -p - 1. Let v be w(-5). Suppose v*g - g = s. What is the units digit of g? 8 Suppose x - 5*p - 31 = 3*x, 2*x - 3*p = 9. Let g be (2/(-6))/(x/36). Let y(m) = m + 2. What is the units digit of y(g)? 6 Let h(c) = -c**2 - 15*c - 30. What is the units digit of h(-12)? 6 Suppose -2*w - 4*v - 33 + 423 = 0, 2*w = 3*v + 376. What is the hundreds digit of w? 1 Suppose 22 + 4 = -2*v. Let r = v + 19. Let n = -4 + r. What is the units digit of n? 2 Let m = 17 + -13. Suppose 0 = -0*r - m*r + 12. What is the units digit of r? 3 Suppose v - j = 3*j + 25, 3*v + j = 88. What is the tens digit of v? 2 Suppose -r = 3*r - 12. Suppose -k = -5*z + r - 1, -4*k = -2*z + 8. Let d = k - -4. What is the units digit of d? 2 Suppose -5*s - c + 9 = -2, -2*s + 14 = -2*c. Let o(i) = i**2 - i + 4. What is the units digit of o(s)? 0 Let u(l) be the second derivative of 2*l**4/3 - 10*l. Let n(q) = q**3 + 5*q**2 + 5*q + 5. Let s be n(-4). What is the units digit of u(s)? 8 Suppose -42*o + 38*o = -904. What is the tens digit of o? 2 Let z(b) = -b**3 - 2*b**2 + 2*b + 1. Let y be z(-3). Suppose 2*a = -21 + 1. Let w = y - a. What is the units digit of w? 4 Let h(m) be the second derivative of m**4/12 + m**3/2 - 3*m**2/2 + m. Let l be h(-4). Let q(d) = 11*d**3 - d**2 + d - 1. What is the units digit of q(l)? 0 Let i = 11 + 10. What is the tens digit of i? 2 Suppose -4*c + 3*n - 92 = 0, 5*n - 60 = 5*c - 3*c. What is the units digit of (60/(-25))/(6/c)? 8 Let o(r) = -r**3 + 7*r**2 - 6*r. Let w be o(6). Let y(i) = i**3 + 2 - i**2 + w*i**3 + i + 0*i**3. What is the units digit of y(2)? 8 Suppose 0*t - t + 22 = 0. Let i = -3 + t. What is the tens digit of i? 1 Let v = -7 - -10. What is the units digit of ((-12)/v)/((-2)/20)? 0 Suppose 0 = 5*x - 5, 0 = -j - 0*j + 5*x + 220. What is the tens digit of j? 2 Suppose -6*r = -11*r + 695. What is the units digit of r? 9 Let d(y) = -y**3 - 12*y**2 - 10*y + 11. Let m be d(-11). Suppose m = 3*g + 2*o + 17 - 50, 3*g = 2*o + 45. What is the tens digit of g? 1 Suppose -3*k - 2*k = 25. Let j be -2*k/2*1. Suppose 0 = j*y - 15, -14 = -d + y - 3*y. What is the units digit of d? 8 Let n(w) = w**2 - 3*w - 3. What is the units digit of n(5)? 7 What is the units digit of ((-1071)/(-14))/9*20*2? 0 What is the units digit of (0 - (-100)/(-12))/(6/(-126))? 5 Let g = -10 - -16. What is the units digit of g? 6 Let x = -6 - -8. Suppose q - 17 = -2*m + x*q, 19 = -m - 5*q. Let i(o) = -o**2 + 9*o - 8. What is the tens digit of i(m)? 1 Let r(y) = -81*y**2 + 15*y + 33. Let s(o) = 5*o**2 - o - 2. Let q(f) = 2*r(f) + 33*s(f). What is the units digit of q(2)? 6 Suppose 0 = d + 1 - 7. Let i be (-183)/((-2)/(8/d)). What is the units digit of i/14 - 2/(-7)? 9 Let z(q) = 2*q**2. Let d be z(1). What is the tens digit of d/8 - 188/(-16)? 1 Let o(n) = n + 3. Suppose u = 5*u + 24. Let x be o(u). Let p = x - -4. What is the units digit of p? 1 What is the units digit of 4*1 + -2 + 4 + -5? 1 What is the tens digit of (-163)/(-7) + 20/(-70)? 2 Suppose 103 = 5*m - 137. What is the tens digit of m/(-36) - (-134)/6? 2 Let g be 1/2 - 6/(-4). Suppose -3 = -5*m - 4*b, 3*b = 2*m - g*b - 21. Suppose 4 = z + 5*u, -m*z + 4 = 2*u - 8. What is the units digit of z? 4 Suppose 2*n - v - 37 = 10, 0 = -3*n + 4*v + 73. What is the tens digit of n? 2 Suppose -3*y - 4 = -4*y. Suppose -3*k + 1 = 4*z - y, z = -4*k - 15. What is the units digit of z? 5 Suppose 3*u = 5*u + 44. What is the units digit of 167/5 - u/(-55)? 3 Suppose 0*k = k - 5. Suppose 4*r + 5*s = 8*r - 31, r + k*s - 39 = 0. What is the units digit of r? 4 Let z(d) = d**2 + 2*d + 8. Let p be z(-6). Suppose 10 = 3*m + 2*o - 12, 4*m + 2*o = p. What is the tens digit of m? 1 Let v(j) = 2*j**2 + 11*j + 9. Let c(p) = 2*p**3 + p**2 - 3*p - 1. Let m be c(-2). What is the units digit of v(m)? 0 Let l(o) = -o**2 + o. Let x(i) = -2*i**2 - 4*i. Let b(q) = l(q) - x(q). Let f be b(-4). Let s(c) = -2*c + 4. What is the units digit of s(f)? 2 Let r(c) = c**3 + 9*c**2 - 10*c + 5. Let k be r(-10). Suppose -10 = -k*z + 25. Let g = 11 - z. What is the units digit of g? 4 Suppose 0 = 7*p - 35 - 70. What is the units digit of p? 5 Let h(w) = w + 1. Let y be h(-2). What is the units digit of y*(-2 - 0) - -5? 7 Let h(d) be the first derivative of -d**4/2 + 2*d**3/3 - d**2/2 - 2*d - 6. What is the tens digit of h(-2)? 2 What is the hundreds digit of (-13 - (0 - -2))/(8/(-232))? 4 Suppose 5*i = 4*m + 2*i + 43, -m - 16 = i. Let z = 0 - m. Let p = -7 + z. What is the units digit of p? 6 Let n be 5/(-6) + 2/(-12). Let t = 4 + n. Suppose -w - 3*i + t = -i, 4*w - 5*i - 51 = 0. What is the units digit of w? 9 Suppose -4*l - 5*q + 1 - 9 = 0, -2*l - 3*q = 6. Suppose 4*p - l*n + 42 = p, 4*p - n = -62. Let k = -10 - p. What is the units digit of k? 6 Let u(g) be the second derivative of -g**6/360 + g**5/40 + g**4/8 - g**3/2 - 3*g. Let y(s) be the second derivative of u(s). What is the units digit of y(3)? 3 Let i be (98/4)/((-1)/(-2)). Suppose -4*h - 4*s + 11 = -h, -s = -5*h + i. What is the units digit of h? 9 Suppose 2*t - q = -289, -5*q + 700 = -5*t - 7*q. Let d = -92 - t. Suppose -p - 39 = -4*p - 3*x, 4*p - d = -3*x. What is the units digit of p? 1 Suppose 3*y = -0*y + 18. Let l = 16 + -11. Suppose 3*f - y = 0, -5*d + l*f = -0*f - 20. What is the units digit of d? 6 Let t(f) = -f**2 + 6*f - 2. Let q be t(5). Suppose c - 104 = -q*c. What is the units digit of c? 6 Let g(f) = f**2 + 5*f - 2. Let y be g(-4). Let b(o) = o**2. Let p(i) = -i**3 - i**2 + 5*i + 1. Let r(v) = y*b(v) - p(v). What is the units digit of r(6)? 5 Suppose x - 6*x = -70. Suppose 2*p - x = 22. What is the units digit of p? 8 Suppose -2*b - 2*b + 380 = 0. What is the units digit of b? 5 Suppose d + d = -3*h + 13, 4*h - 18 = -2*d. Suppose h = p + 2. What is the units digit of p? 3 Let k(x) = 6*x**2 - 6*x - 10. What is the tens digit of k(-5)? 7 Suppose 5*i - 36 = 3*i. Suppose 4*p - 4 = -4*a, -p - 2*p = 4*a. Let l = i + a. What is the tens digit of l? 1 What is the units digit of 24/15 + -2 + 546/15? 6 What is the tens digit of -5 - 18/(-3)*28? 6 Suppose -2*b + 11 = -11. Suppose -392 = -4*w - 5*d, -9 - b = -5*d. Suppose 2 = 5*g - w. What is the tens digit of g? 1 Suppose 0*n + 10 = -2*t + 2*n, 0 = -2*n + 4. Let d(x) = -x**2 - x + 1. Let q be d(0). What is the tens digit of 18*t*q/(-3)? 1 Let q be (6/(-1))/(-1) - 2. Suppose -4*j + 3*u = -147, -2*j + q*u - 16 = -82. Suppose j = 3*h - 5*b, 0*b - 13 = -h - b. What is the tens digit of h? 1 Let y be (-243)/(-6) - 4/8. Suppose -7*q - y = -8*q. What is the units digit of q? 0 Suppose -2*y + 3*i + 56 = 7*i, 0 = -5*y - i + 104. What is the tens digit of y? 2 Let b = -8 - -7. What is the units digit of ((-76)/8 - b)*-2? 7 Let v(d) = -9*d**2 + 4*d + 1. Let k(z) = 4*z**2 - 2*z - 1. Let r(g) = -7*k(g) - 3*v(g). Let t be r(3). Suppose 17 = 2*b + t. What is the units digit of b? 8 Let i(t) = t**2 - 7*t + 2. What is the tens digit of i(11)? 4 Let w be (119 - 0) + -3 - 1. Suppose -2*n - 3*n = -w. What is the tens digit of n? 2 Suppose k - 69 = -21. What is the tens digit of k? 4 Let s be (9/18)/(2/12). Suppose 0 = 2*n + z - s, 1 = -2*n - 7*z + 2*z. What is the units digit of n? 2 Suppose 3*z - 65 = -2*y, y = z - 4*z + 70. What is the units digit of (z - -2)*(-3 - -4)? 7 Let s be (6 + -4)*(1 + 1). Suppose 5*g = 10, 0 = 2*u + s*g - 3*g. Let b(h) = -14*h**3 + h + 1. What is the tens digit of b(u)? 1 Let g(p) = p**3 + 9*p**2 - 16*p - 11. Let j be g(-10). Let l = j + -27. What is the units digit of l? 2 L
{ "pile_set_name": "DM Mathematics" }
165*o**2 What is the second derivative of 6*v**4 + 14*v**3 + 120*v - 2? 72*v**2 + 84*v What is the third derivative of 2*g**5 - 42*g**4 - 222*g**2? 120*g**2 - 1008*g Find the first derivative of 23*j*n**2 + j*n*r*u**3 + j*n*r*u**2 - j*n - j*u**3 + 9*n**2*r*u + n**2 wrt r. j*n*u**3 + j*n*u**2 + 9*n**2*u Find the third derivative of -62*c**2*r**3 - 14*c**2*r**2 - 4*c*r**3 - 3*c*r**2 wrt r. -372*c**2 - 24*c Differentiate -6*d**2*f**2 + d*f**2 - 7*d*f + 240*f**2 wrt d. -12*d*f**2 + f**2 - 7*f What is the derivative of 91*q*v - 3*q - 158*v wrt q? 91*v - 3 What is the second derivative of 1596*z**3 - 385*z wrt z? 9576*z Find the third derivative of -2075*v**3 + 3*v**2 - 352*v wrt v. -12450 Find the second derivative of -383*o**5 - 239*o wrt o. -7660*o**3 What is the third derivative of -5*y**3*z**2 + 6*y**3*z + 55*y**2*z - y*z**2 + 4*z wrt y? -30*z**2 + 36*z Find the first derivative of h**2 - 6*h*r**2 + h*r + 3*h - r**2 - 2*r - 376 wrt h. 2*h - 6*r**2 + r + 3 Find the second derivative of b**4 + 7*b**3 - 23*b**2 - 2497*b. 12*b**2 + 42*b - 46 What is the third derivative of 9*o*x*z**3 - 2*o*x + 4*o*z**4 + 224*o*z**2 - 4*x*z**4 - 4*x*z wrt z? 54*o*x + 96*o*z - 96*x*z What is the derivative of -4*c**2 + 3*c - 124? -8*c + 3 What is the third derivative of -g**5 - 143*g**4 - 2*g**2 - 127 wrt g? -60*g**2 - 3432*g Find the second derivative of -327*g**3*s**2 - 12*g*s**2 + 2*g*s - 2*g wrt g. -1962*g*s**2 What is the second derivative of 3*a*h**2*o**2*y + 2*a*h**2*o**2 + 5*a*h**2*y + 2*a*o**2*y - 96*a*y + h*o*y wrt h? 6*a*o**2*y + 4*a*o**2 + 10*a*y What is the third derivative of -7*m**3*w**3 - 20*m**3*w - 4*m**2*w**2 + w**4 wrt w? -42*m**3 + 24*w Find the first derivative of -2*j*x + 2012*j + 108*x + 2 wrt x. -2*j + 108 What is the first derivative of 656*p - 4516 wrt p? 656 What is the first derivative of -131*y**2 - 2*y - 82? -262*y - 2 What is the first derivative of -3*d**2*p*s*u - d**2*p*s + 3*d**2*s*u + 7*d**2*u + 152*d*p*u + d*s + 2*s wrt p? -3*d**2*s*u - d**2*s + 152*d*u Differentiate 9*t**2 - 4*t - 1954 wrt t. 18*t - 4 Find the third derivative of 423*d**3*x + 206*d**2*x wrt d. 2538*x Find the second derivative of 13*i**4 + 3*i**3 + 4*i - 4. 156*i**2 + 18*i Find the third derivative of 166*q**5*y**3 - 10*q**3*y**3 - 7*q**2*y + 1186*q*y**3 - y**3 wrt q. 9960*q**2*y**3 - 60*y**3 Differentiate 628*b*h**2 + b*j**2 + 4*h**2*j + 16*j**2 with respect to j. 2*b*j + 4*h**2 + 32*j What is the third derivative of 308*f**3*p**3 - 4*f**2*p**3 + f**2*p**2 - 18*f wrt f? 1848*p**3 Find the first derivative of -1860*h**3 - 224. -5580*h**2 Find the second derivative of j**2*o*s**3 + 50*j**2*o*s**2 + 2*j**2*s**2 + 2*j*o*s**3 + 3*o*s**3 + o*s - 19*s**2 wrt j. 2*o*s**3 + 100*o*s**2 + 4*s**2 What is the second derivative of 16*i*s**4 - 30*i*s + 3*i + 2*s**5 wrt s? 192*i*s**2 + 40*s**3 Find the third derivative of 9*g**4 + 2*g**3 + 4*g**2 + 36*g wrt g. 216*g + 12 What is the first derivative of 3*f**3*y**2 + 197*f**3*y - 4*f**3 - 14*f wrt y? 6*f**3*y + 197*f**3 What is the first derivative of 3744*l*z - 27969*l wrt z? 3744*l What is the third derivative of -4445*g**3 + 3*g**2 + g - 24 wrt g? -26670 Find the first derivative of -46*k**2 + 30*k + 5409 wrt k. -92*k + 30 What is the third derivative of 51*g**3*n**3*z**3 + 4*g**3*z**3 + 15*g**3*z + 3*g**2*n**3*z**2 + 2*g**2*n**2*z**2 - 2*g*z wrt z? 306*g**3*n**3 + 24*g**3 Find the third derivative of 610*y**4 - y**3 + 4*y**2 - 32*y. 14640*y - 6 Find the second derivative of -q**5 + 1760*q**4 + 22306*q. -20*q**3 + 21120*q**2 What is the derivative of -2*b**3*r + 101*b**3 - 22*b**2*g**2*r - b**2*g**2 + b*g*r wrt r? -2*b**3 - 22*b**2*g**2 + b*g Find the third derivative of -4*d**2*q**4 - 166*d**2*q**3 - 4*d**2*q**2 + 2*d*q**2 wrt q. -96*d**2*q - 996*d**2 What is the first derivative of -335*v + 447 wrt v? -335 What is the third derivative of -76*d**5 + 16*d**3 + 2*d**2 + 5249*d + 2 wrt d? -4560*d**2 + 96 Differentiate 2522*a**2*f*o + 2*a**2*o - 2441*a**2 with respect to f. 2522*a**2*o Find the second derivative of -c**3*x + c**2*x**3 - 48*c**2 - 2*c*x**2 + 24*x**3 wrt c. -6*c*x + 2*x**3 - 96 What is the second derivative of -k**4*t**3 - 724*k**4*t**2 - 953*k*t**3 wrt k? -12*k**2*t**3 - 8688*k**2*t**2 Differentiate 4*j*o**3 - 155*j - 2*o**4 - 3*o**2 with respect to o. 12*j*o**2 - 8*o**3 - 6*o What is the second derivative of -2*b**5 - 754*b**3 + 190*b + 2 wrt b? -40*b**3 - 4524*b What is the third derivative of -6*c**3*w - 286*c**3 - 5462*c**2*w wrt c? -36*w - 1716 What is the second derivative of -5*h**3 + 4*h**2 - 474*h + 3 wrt h? -30*h + 8 Find the first derivative of -65*y**2 + 172 wrt y. -130*y What is the second derivative of k*q*w**3 + k*q*w + 55*k*w**3 + 6*k*w + q*w - 2*w**4 wrt w? 6*k*q*w + 330*k*w - 24*w**2 Find the third derivative of -6*b**4 - 6*b**3 + 65*b**2. -144*b - 36 Find the second derivative of 1906*b**3*g**5 + 3*b**3*g**2 - 7*b**3*g + 38*b*g + 3 wrt g. 38120*b**3*g**3 + 6*b**3 What is the second derivative of 442*a**3 - 2*a**2 - 16251*a? 2652*a - 4 Differentiate h**3*v - 295*h*v + h - v + 389 with respect to h. 3*h**2*v - 295*v + 1 Differentiate 3*g**4 - 3*g**2 + 329. 12*g**3 - 6*g Find the second derivative of 1647*n**4 - 99*n + 2 wrt n. 19764*n**2 Differentiate -3544*f**2*i + f*i**3 - 285*i**3 - 4*i**2 with respect to f. -7088*f*i + i**3 What is the second derivative of -2*b*x**4 + b*x**2 + 58*b*x - 56*x**2 wrt x? -24*b*x**2 + 2*b - 112 Find the third derivative of -5724*u**3 + u**2 - 2870*u wrt u. -34344 What is the first derivative of -4*o**2*q**2 - o**2*q + o*q + 90*o - q**2 - 938*q - 1 wrt o? -8*o*q**2 - 2*o*q + q + 90 Find the second derivative of -13144*l**4*y - l*y - 4*l - 118*y + 2 wrt l. -157728*l**2*y What is the first derivative of -2*d*f**2*h - d*f**2 + 19*d*h - 2*f**2*h - 14*f**2 + f*h wrt d? -2*f**2*h - f**2 + 19*h What is the third derivative of -22*p**5*u**2 + 72*p**3*u**2 + 2*p**2*u**2 - 859*p*u**2 wrt p? -1320*p**2*u**2 + 432*u**2 What is the second derivative of 14*r**3*y**2 + 10*r**3*z - 9*r*y**2*z**2 + r*y - 10*y*z**2 wrt y? 28*r**3 - 18*r*z**2 What is the second derivative of -2*b**3*l**2 - 2*b**3 - b**2*l**2 - 2*b**2*l - l**4 + 31*l wrt l? -4*b**3 - 2*b**2 - 12*l**2 Find the second derivative of -262*r**5 - 8*r - 34. -5240*r**3 What is the second derivative of -1964*h*r**2 - 4*h*r + 2*h + 2*r**4 + 394*r wrt r? -3928*h + 24*r**2 Find the third derivative of -c**3*d*r*u - 2*c**3*d*u + 4*c**3*r**3 + c**3*u - 2*c**2*d*r**2 + 2*d*r**3*u - d*u + 8*r**3*u wrt r. 24*c**3 + 12*d*u + 48*u What is the third derivative of 34*i**6 + 1388*i**2? 4080*i**3 Find the third derivative of -l**3*z**3 + 28*l**3*z**2 + 9*l**2*z**3 - 13*l**2*z wrt l. -6*z**3 + 168*z**2 What is the third derivative of -5*i**5*y**3 - 13*i**4*y**3 + 4*i**2*y**2 + 129*i*y**3 wrt i? -300*i**2*y**3 - 312*i*y**3 What is the third derivative of 7*s**4 - 33*s**3 + 12*s**2 + 66*s + 2 wrt s? 168*s - 198 Differentiate -4*b**4*f - 360*b**3*f**2 - 2849*f**2 with respect to b. -16*b**3*f - 1080*b**2*f**2 Find the second derivative of -199*w**5 + 309*w. -3980*w**3 Find the third derivative of 958*i**3*w**3 - 3*i**2*w**3 - 7*i**2 + i*w**3 wrt i. 5748*w**3 Differentiate -1162*c*h - 11045*c wrt h. -1162*c What is the first derivative of -42*b**4 + 18*b**2*x**3 + 24*x**3 + 9 wrt b? -168*b**3 + 36*b*x**3 Differentiate -2119*d*k - 6588*d with respect to k. -2119*d Differentiate 2*b**2*d*k**2 + b**2*d - 38*d*k**4 + 15*d wrt k. 4*b**2*d*k - 152*d*k**3 Find the second derivative of -6*d**3*z**2 + 2*d**3 - 24*d**2 + 1095*d*z**2 - 2*d wrt d. -36*d*z**2 + 12*d - 48 Differentiate 63*g**2 + 33*g + 1203 with respect to g. 126*g + 33 What is the second derivative of -g*j**2*o*v - 2*g*j**2*o - 15*g*j**2*v + 23*g*j*v + g*o*v + j**2 - 2*o + v wrt j? -2*g*o*v - 4*g*o - 30*g*v + 2 Find the first derivative of -l*o**2*y - 4*l*o**2 + 18*l*y + 2*o**2*y + 2 wrt y. -l*o**2 + 18*l + 2*o**2 Find the second derivative of 352*m**3*p - 5*m*p - 18*m + 2*p wrt m. 2112*m*p Find the second derivative of -182*g**2*p**2 - 9*g*p**2 + g*p - 8*p wrt g. -364*p**2 What is the third derivative of -2*s**4 + 655*s**3 - 16431*s**2? -48*s + 3930 What is the third derivative of -43*l**5 + 3*l**4 + l**3 + 32*l**2 - 79? -2580*l**2 + 72*l + 6 What is the derivative of n**4 + 5*n**3*s
{ "pile_set_name": "DM Mathematics" }
8. Suppose d*z - 6 = 9*z. Is z at least as big as -2? True Let i = -3/5 + 1. Is -2 greater than i? False Let c be (36/14)/(24/64). Let d = 418/63 - c. Do d and 5/3 have different values? True Suppose -20 = -5*s + 2*c, 0*s + 3*s - 3*c = 21. Suppose -2*q + s + 0 = 0. Is -2/7 smaller than q? True Let k(j) = j**2 + 16*j + 19. Let p be k(-14). Let i be (-2)/7 - p/(-42). Which is bigger: i or -4? i Let k = -56 - -55. Is k > -0.2? False Let j = 1.99 + 0.01. Let p = 2.3 - j. Let i = -0.8 + -0.2. Which is bigger: i or p? p Let h be (-963)/6 + (-3)/2. Let f = h - -1136/7. Is -1 greater than or equal to f? False Let p = 2 + -1.89. Let g = p - 1.11. Which is bigger: 5 or g? 5 Let m be (1 - 1)/(1 + (9 - 8)). Which is greater: m or -7/12? m Suppose -16 = -4*w - 4*g, -4*w - 4*g = g - 21. Suppose 4*h + h = 0. Which is bigger: h or w? h Let c = -2.02 - -2. Let z = 0.05 + c. Let s = z + -0.03. Do s and -0.1 have different values? True Suppose -d + 4 - 1 = -4*l, -2*l = 4*d + 6. Let t = 157 + -2667/17. Which is greater: l or t? t Let a be 6/39 + (-4)/26. Do a and 1 have different values? True Let m = -1 - -4. Suppose 4*v = 2*v + 8. Let u = -1 + v. Is m <= u? True Let x be -4*(-1)/(-1) + 187. Let a = x - 2565/14. Are a and 1 non-equal? True Let s = 0.9 - 0.5. Let q = 5 - 4.7. Let c = q - s. Which is smaller: 1/5 or c? c Let d = 781 - 14834/19. Which is bigger: d or 1? 1 Let o = -4 + 6. Let u = -3 + o. Let c = -1 - -1. Is c not equal to u? True Suppose -5 = -2*b - 21. Is -8 at least as big as b? True Suppose 0 = 2*z - 8 - 2. Let l = z - -12. Suppose 2*a = -3*u + 11, 4*a + 2 = u + l. Which is smaller: 2 or u? u Let w = -1 - -2. Let f = w - -3. Is 4 < f? False Let z = 0.02 - 0.13. Let w = 0.11 + z. Is w bigger than 2/21? False Let j be (-6)/30*5*-1. Are -2/17 and j nonequal? True Let x be (-15)/(-10) + (-10)/(-4). Suppose 5 = 3*h + 2*h - 5*u, x = -4*h + 2*u. Let g = -1 + 1. Are g and h non-equal? True Let v = 478488/35 - 13672. Let j be 6/15 - (-8)/(-5). Let p = j - v. Is 0 >= p? True Let s be 5/(-4) - -1 - (-1026)/2376. Which is bigger: s or -1? s Suppose n - 4*p + 14 - 3 = 0, 0 = 5*n - 5*p - 5. Suppose 3*k + k = -c - 9, 4*k - 21 = n*c. Which is smaller: -2 or c? c Let j = 32 - 25. Let m = 13 - 6. Let u = j - m. Which is bigger: u or 2? 2 Let c(i) = i**2 - 2*i - 2. Let m be c(3). Suppose 0 = -j + 2*j - m. Is -8 equal to j? False Let a be 2/4*-1*-2. Let b be ((-39)/(-9) - 2/6) + -2. Is b > a? True Let c be ((-8)/(-10))/(1208/20). Which is smaller: -1 or c? -1 Let j = -1 - -0.7. Let i = 22 + -21.5. Let c = i + j. Is -1 less than or equal to c? True Let m = 272/1001 + 2/143. Let q be 1 + 24/9 - 3. Which is smaller: m or q? m Let h = -66 - -67. Which is smaller: 4 or h? h Let p(g) = -3*g + 1. Let i be p(3). Let t(w) = w**3 + 9*w**2 + 9*w + 9. Let b be t(i). Let q = b - 1. Do -1/2 and q have the same value? False Let a = 115/3 - 39. Let m = 1.01 - -0.09. Let x = m + -0.8. Is x less than or equal to a? False Let y = 1 - 2. Is -2/173 at least y? True Let v = -69 + 415/6. Which is smaller: v or -2? -2 Suppose -5*h - 6 = 4. Which is greater: h or -0.1? -0.1 Let k = -21 - -18. Which is greater: k or -12/5? -12/5 Suppose 3*o - 24 = -3*y, y + 0*o + 2*o = 12. Suppose 2*a - y*a - 6 = -t, 2*a + 6 = -5*t. Let w = -448/5 + 90. Are t and w unequal? True Let b = -0.38 + 0.4. Let s = 1.98 + b. Let f = s - 2. Which is bigger: -0.1 or f? f Let g be ((-28)/6)/(2/(-6)). Let f be (g + -2)*(-4)/8. Do -5 and f have the same value? False Suppose -5*u - 2*m - 18 = 0, 2*u - 8 = 3*u - 4*m. Let q be (-150)/54 - u/(-18). Let a(k) = -k**3 - 6*k**2 + 8*k + 5. Let l be a(-7). Which is smaller: q or l? q Suppose 22 = -4*c - 5*s, c + 3*c = -3*s - 18. Let j = -3 - 1. Is c greater than j? True Let a(s) be the third derivative of s**4/12 + 7*s**3/6 + 2*s**2. Let j be a(-5). Which is bigger: -4 or j? j Let k(i) = -i**2 + 11*i + 16. Let x be k(12). Suppose 3*a = -x*q + 8 + 9, -1 = q - a. Is 3 smaller than q? False Let c be (0 - 1) + (-124)/(-116) + 0. Let h(u) = -u**2 + 7*u + 8. Let v be h(8). Is v bigger than c? False Let c(l) = -l**3 - 5*l**2 + l - 6. Let o be c(-5). Let q = -6 - o. Suppose -1 = q*x + 9. Which is bigger: x or 0? 0 Suppose 7*u + u + 8 = 0. Is u > 0? False Let p be 3 - ((-16)/4)/(-1). Let r = p + 0. Which is smaller: r or -2/7? r Suppose 2*b + 3 = -f + 2, 2 = -b - 2*f. Let m = b + 1. Let g be ((-2)/(-15))/(35/(-25)). Which is bigger: g or m? m Suppose -51*k + 55*k = 0. Suppose -4*c = 4*v - 6*v + 6, -c - 7 = 5*v. Which is greater: k or c? k Suppose 6*w = 3*w - 27. Let b = -10 - w. Suppose 0 = -2*s - 2*s. Which is smaller: s or b? b Let q(t) = -t**3 - 4*t**2 + 14*t + 11. Let w be q(-6). Is -1 greater than w? False Let l be (-10)/12*(-9)/30. Let h = 1 - -1. Is l at least as big as h? False Let q be (-6)/(-18) - 2/6. Do q and 2/15 have the same value? False Suppose 0 = z + 5*q + 8, 4*z - 7*z = 4*q + 13. Let f = -0.34 - 1.66. Which is bigger: z or f? f Let z(b) be the second derivative of -b**3/3 - 3*b**2 + b. Let k be z(-5). Suppose -6*x + k*x = -2. Is 0 equal to x? False Let t = -0.6 + -6.4. Let n = 11.27 - 0.27. Let l = t + n. Is l at most 2/5? False Let y = 1.5 + -1. Let t = 0.8 - y. Let a = 0 - 1. Which is bigger: t or a? t Let v = -0.2 - -5.2. Are 1 and v non-equal? True Let j be (0 - -1)*(14 + -5). Is j > 8? True Suppose 2*s + v - 8 = 0, 5*v - 5 = s + v. Which is smaller: s or 4? s Let o = -0.23 - 0.07. Let n = -4.6 - -5. Let k = n + o. Is -1/2 > k? False Suppose -3*a = -15 + 6. Suppose 4*z - 22 = 2*q - 8, -10 = 2*q - a*z. Let n be (-4 - -2) + (2 - 1). Which is smaller: q or n? n Let x = -81 + 81. Which is smaller: x or 8/7? x Let o be (0 + 1)*8/(-16). Let u = 1 - 1.2. Let x = u - -1.2. Is x equal to o? False Let p = -9.1 + 9.2. Which is smaller: 2 or p? p Let l(q) = q**3 - 9*q**2 + 8*q - 5. Let u be l(8). Suppose -n = 3*n + 24. Is u less than or equal to n? False Let y(c) = -c**2 - 12*c + 4. Let l be y(-12). Let t be (-4)/(-6)*(-18)/l. Which is bigger: t or -2? -2 Let m be 1*(-3 - (2 - 3)). Let f = m - -17/6. Is f less than or equal to 0? False Let f = 48 + -48.1. Which is greater: 2 or f? 2 Let f(d) = -d**2 + 3*d - 2. Let u be f(2). Is u less than -0.02? False Suppose 51 = 9*z - 3. Which is smaller: 7 or z? z Let v = -33 + 22. Let f = 34/3 + v. Which is smaller: f or 1? f Suppose 6*z + 34 = 10. Which is bigger: -7 or z? z Let n(a) = a + 5. Let r be n(-3). Suppose -2*s = -2*j - 2, 2*s + j + 2*j = r. Let u be 0 - (-5 + 1 + 2). Do s and u have different values? True Let c = 176 + -175. Is c at most 41? True Let x = 7.2 - 7. Let h be (0/(-2 - 1))/(-2). Which is smaller: x or h? h Let j = 0.9 + -7.9. Let v = -14 - j. Let c = v - -6.8. Which is greater: 1 or c? 1 Let r(f) = -f**2 + 3*f - 3. Let q be r(2). Which is bigger: 0 or q? 0 Suppose 3*a - 33 = 3*d - 2*a, -5*d - 2*a = 24. Let w be (-6)/(-9) - 20/d. Which is smaller: w or 3? 3 Let z be 1*3 - (4 + -4). Let x = z - 2. Is 1 greater than or equal to x? True Let d = 8 + -4. Suppose 0 = 5*v + d*y + 22 - 52, 5*y - 17 = 4*v. Which is smaller: 0 or v? 0 Suppose -9*a - 6 = -7*a. Let y(b) = -b**2 - b - 4. Let s be y(0). Which is bigger: s or a? a Let q be (8/(-3))/((-2)/6). Suppose 5*s + q = -7. Let w be -1 + s/15 + 1. Is 0 at most w? False Let y = 2.4 + -7.2. Let b = -5 - y. Are -3 and b unequal? True Suppose -15 = 3*c - 0*w - 3*w, -3*w = c - 15. Let b(m) = -m**3 - 3*m**2 + 5*m + 4. Let v be b(-4). Let z be c/((3 - v)/(-3)). Is 6/11 less than or equal to z? False Let n = 56/3 + -286/15. Is 4 greater than or equal to n? True Let w(g) = g**2 + 1. Let u be ((-2)/10)/((-2)/10). Let d be w(u). Which is greater: 1 or d? d Let f be (-3)/2 - (2 + 10/(-5)). Which is bigger: 0.34 or f? 0.34 Let l = -4291/39 + 331/3. Let t be (-5 + 3 - 0) + 3. Do t and l have the same value? False Let i be 1 - (18/10)/1. Let q(o) = o - 7. Let l be q(8). Let b be (l/2)/((-1)/4). Is i <= b? False Suppose -3*h = 5*c - 25, -3*c - 5*h = -6*h - 1. Suppose 0*n + 12 = -c*n. Let l = 5 + n. Is l not equal to 2/13? True Let l = 46/19 + -1112/475. Which is bigger: l or -1? l Suppose -2*a - 6 = -5*a. Is a greater than or equal to 18? False Let l be 4/(-6) + 73*(-4)/(-6). Which is smaller: l or 49? l Suppose -11 + 1 = 2*o. Let w be (1/3)/(-6 - o). Which is smaller: w or -1? -1 Let a =
{ "pile_set_name": "DM Mathematics" }
**3 + 6*d**3 - d**3 + 12*d**3 wrt d? 108 Let u(k) = -2. Let n(p) = p + 8. Let q be n(-6). Let c(h) = h**2 + 1 - 3 + 0*h**q. Let b(g) = 2*c(g) - 3*u(g). Differentiate b(v) wrt v. 4*v Let g(d) = -20*d**4 - 7*d**2 + 10*d + 7. Let u(q) = -19*q**4 - 6*q**2 + 11*q + 6. Let f(t) = 6*g(t) - 7*u(t). What is the second derivative of f(p) wrt p? 156*p**2 What is the third derivative of 29*k**6 - 23*k**2 - 9*k**2 - 9*k**6 wrt k? 2400*k**3 Let q(y) be the third derivative of -4*y**2 + 0*y**4 + 1/2*y**3 + 0*y + 0 + 1/30*y**5. Differentiate q(j) wrt j. 4*j Find the first derivative of -44*t**3 + 73*t**3 + 32 - 12 - 10*t**3 wrt t. 57*t**2 Let r(w) be the first derivative of w**8/840 - w**6/120 + w**3 + 3. Let v(j) be the third derivative of r(j). What is the third derivative of v(d) wrt d? 48*d Suppose 3*p = -0*p + 12. Let k(u) = u**2 - 2*u - 4. Let w be k(p). Find the third derivative of 9 + j**w - 9 + j**2 wrt j. 24*j Let y(r) = 4*r - 7. Let p(u) = -2*u + 3. Let f(i) = -9*p(i) - 4*y(i). What is the first derivative of f(a) wrt a? 2 Suppose 0 = 5*d + 10, 5*r - 55 = -0*r + 5*d. What is the second derivative of 6*m + r - 9 - 5*m**2 wrt m? -10 Let l(f) be the third derivative of -f**8/56 - 11*f**4/12 - 22*f**2. Find the second derivative of l(d) wrt d. -120*d**3 Let i(k) = -7*k**4 - 3*k - 3. Let f(l) = 28*l**4 - l**2 + 11*l + 11. Let d(a) = -6*f(a) - 22*i(a). Find the third derivative of d(r) wrt r. -336*r Let r be 2/(-2) + 3 - -1. What is the second derivative of 6*p**5 - p - p**3 + 2*p**r - p**3 wrt p? 120*p**3 Let j(b) = -7*b - 11. Let n(t) = 7*t + 11. Let q(p) = 4*j(p) + 3*n(p). Differentiate q(z) wrt z. -7 Let c be 4 - 2/(-1 - -3). Find the second derivative of -i + 4*i - 3 + 3 + i**c wrt i. 6*i Let r(g) be the third derivative of -g**9/168 + g**8/336 - g**5/6 + g**4/6 - 3*g**2 + 1. Find the third derivative of r(d) wrt d. -360*d**3 + 60*d**2 Let d(b) be the third derivative of -b**10/75600 + b**6/72 + b**5/12 + 10*b**2. Let w(c) be the third derivative of d(c). Differentiate w(h) wrt h. -8*h**3 Let g(r) = 4*r**4 - 12*r**2. Let l(x) = -x**5 + 5*x**4 - 13*x**2. Let i(s) = 5*g(s) - 4*l(s). What is the third derivative of i(m) wrt m? 240*m**2 Find the third derivative of -5*q**2 - 15*q**2 - 2*q**4 + 0*q**4 - 4*q**2 wrt q. -48*q Find the third derivative of -6*y**2 + 19*y - 21*y**3 - 18*y - 9*y**2 + y**2 wrt y. -126 Let y(q) be the third derivative of 0 - q**2 - 1/24*q**4 - 1/120*q**6 + 0*q**5 + 0*q**3 + 0*q. What is the second derivative of y(g) wrt g? -6*g Suppose 12*x + 0 = 48. Let q(n) be the first derivative of -3/5*n**5 - 1 + 0*n**x + 0*n**3 + n**2 + 0*n. What is the second derivative of q(m) wrt m? -36*m**2 Find the third derivative of -3*a**2 - 18*a + 7*a**4 - 4*a**2 + 18*a wrt a. 168*a Let r(m) = -16*m**2 - 18*m. Let q(c) = -c. Let i(h) = 3*q(h) - r(h). What is the second derivative of i(o) wrt o? 32 Let p(k) = 29*k**3 - 7*k**2 + 30*k - 7. Let o(v) = -30*v**3 + 6*v**2 - 31*v + 6. Let n(r) = 7*o(r) + 6*p(r). What is the second derivative of n(a) wrt a? -216*a Let f(s) be the second derivative of 0*s**5 + s - 1/15*s**6 + 0*s**4 + 2/3*s**3 + 0 + 0*s**2. What is the second derivative of f(n) wrt n? -24*n**2 Let m(j) = -10*j**4 - 12*j**2 + 5. Let x(l) = 11*l**4 + 11*l**2 - 4. Let s(n) = -4*m(n) - 5*x(n). What is the third derivative of s(k) wrt k? -360*k Let u be 2/3*(-45)/(-6). Find the second derivative of -u*n + 4*n + n**3 + 3*n wrt n. 6*n Let w(k) be the third derivative of k**9/15120 + k**5/40 - k**4/12 + 3*k**2. Let a(v) be the second derivative of w(v). Find the first derivative of a(c) wrt c. 4*c**3 Let u(c) = -7*c**4 - 7*c**2 + 7*c + 8. Let k(i) = 4*i**4 + 3*i**2 - 3*i - 4. Let a(b) = -7*k(b) - 3*u(b). Differentiate a(l) wrt l. -28*l**3 Find the second derivative of 12*q + 4*q - 176*q**2 - 13*q**5 + 2 + 178*q**2 wrt q. -260*q**3 + 4 Let w(s) be the third derivative of s**8/56 - 5*s**4/12 - 5*s**2. What is the second derivative of w(z) wrt z? 120*z**3 Let f be -1*3/(1 - -2). Let b be ((-2)/(-4))/(f/(-6)). Differentiate -d - 2*d + 0 + b wrt d. -3 What is the third derivative of -8*k + 4*k**2 + 13*k - 5*k**3 + 1 - 5*k wrt k? -30 Let h(i) be the third derivative of i**4/3 + i**3/3 + 9*i**2. Find the first derivative of h(z) wrt z. 8 Let n(k) = 1. Suppose -p + 7 = 13. Let j(c) = 6*c**2 - 2*c + 6. Let t(f) = p*n(f) + j(f). What is the second derivative of t(a) wrt a? 12 Let z(o) be the third derivative of 7*o**6/24 + 13*o**5/15 - 8*o**2 - 2. What is the third derivative of z(x) wrt x? 210 Let s(c) = -3*c**3 - 5*c - 6. Let q(d) = d**3 + d + 1. Let a(v) = -6*q(v) - s(v). Find the second derivative of a(g) wrt g. -18*g Suppose 7 = 5*i + 42. Let a(z) = -z**2 - 9*z - 10. Let l be a(i). What is the third derivative of -k**2 + 2*k**6 - 2*k**2 - l*k**6 + 5*k**2 wrt k? -240*k**3 Let l(f) be the third derivative of -f**5/15 - f**4/4 + 6*f**2. What is the second derivative of l(c) wrt c? -8 Let z(v) be the second derivative of -v**3/6 - 3*v**2/2 + 3*v. What is the first derivative of z(u) wrt u? -1 Let u(k) be the first derivative of 0*k - k**2 - 2/3*k**6 + 0*k**3 + 1 + 0*k**4 + 0*k**5. What is the second derivative of u(h) wrt h? -80*h**3 Find the first derivative of 3*u - 21 + u + 17*u wrt u. 21 What is the third derivative of -25*c**2 - 5*c**2 + 4*c**2 + 30*c**3 wrt c? 180 Let j(p) = -15*p**3 - 2*p**2 - 6*p - 2. Let b(l) = -l**3 - l**2 + l - 1. Let z(v) = 2*b(v) - j(v). Find the second derivative of z(x) wrt x. 78*x Let h(c) be the second derivative of 3*c + 0*c**2 - 3/20*c**5 + 0 + 0*c**4 - 1/2*c**3. Find the second derivative of h(p) wrt p. -18*p Let x(g) be the third derivative of 11*g**9/252 + 7*g**5/60 + 28*g**2. What is the third derivative of x(w) wrt w? 2640*w**3 What is the third derivative of -8*g**2 + 13*g**3 - 8*g**2 + 19*g**2 wrt g? 78 Let a(s) = -3*s**5 + 9*s**2 - 6*s + 6. Let m = 23 - 17. Let d(x) = -x**5 + x**2 - x + 1. Let j(w) = m*d(w) - a(w). What is the third derivative of j(l) wrt l? -180*l**2 Let r(q) be the first derivative of q**5/5 + q + 6. Find the first derivative of r(w) wrt w. 4*w**3 Find the third derivative of 8*r**2 - 18*r**5 + 14*r**5 + 21*r**2 wrt r. -240*r**2 Let m(h) be the first derivative of -4*h**3/3 + 7*h**2/2 - 3*h - 59. What is the second derivative of m(z) wrt z? -8 Find the second derivative of 8*n**2 + 53*n + 25*n**2 - 59*n wrt n. 66 Let u(v) be the first derivative of 2*v**5/5 - 13*v**4/2 - 11*v**3 + v + 48. Find the third derivative of u(o) wrt o. 48*o - 156 Let d(u) = 15*u**4 - 5*u**3 - 5*u**2 + 29. Let p(h) = 22*h**4 - 8*h**3 - 8*h**2 + 44. Let t(z) = -8*d(z) + 5*p(z). Find the first derivative of t(a) wrt a. -40*a**3 Let y(u) be the first derivative of 13*u**3 - 15*u**2 - 69. What is the second derivative of y(m) wrt m? 78 Let l(b) be the second derivative of b**8/7 - 5*b**4/6 + 2*b. Find the third derivative of l(y) wrt y. 960*y**3 What is the second derivative of n**5 - 2*n - 18*n**5 - 13*n wrt n? -340*n**3 Let p(o) = o**2 - 1. Let c(n) = 8*n**2 + 2*n - 5. Let w(s) = 2*c(s) - 10*p(s). What is the second derivative of w(i) wrt i? 12 What is the derivative of -958 - b**4 - 2*b**4 + 2*b**2 + 1002 wrt b? -12*b**3 + 4*b Let b(t) be the third derivative of -t**8/6720 + t**7/1260 + t**4/12 + t**2. Let y(g) be the second derivative of b(g). Find the third derivative of y(j) wrt j. -6 Let r(b) be the second derivative of -3*b**4/4 + 15*b**2/2 + 11*b. What is the first derivative of r(s) wrt s? -18*s Let t(k) be the first derivative of 31*k**4/4 - 13*k**2 - 22. What is the second derivative of t(o) wrt o? 186*o Let q = 3 - -2. Let o be 1/(3/(-6)*-1). Find the third derivative of 2*s**6 + s**q - s**5 - s**o wrt s. 240*s**3 Let i(y) be the third derivative of -y**4/4 - 25*y**3/6 + 44*y**2. Differentiate i(p) wrt p. -6 Let g(m) be the first derivative of 0*m + 8 - 1/2*m**2 - 2/5*m**5 + 0*m**3 + 0*m**4. Find the second derivative of g(y) wrt y. -24*y**2 Find the second derivative of -6*w - 3*w + w + 9*w**5 wrt w. 180*w**3 Let j(z) be the first derivative of 0 + z**3 + z**4 - 2*z**3 + 0*z**4 + 3. What is the third derivative of j(n) wrt n? 24 Let q(j) be the first derivative of -j**2/2 - 3*j - 1. Let f(l) = l**4 - 2*l - 5. Let c(g) = -3*f(g) + 5*q(g). What is the second derivative of c(n) wrt n? -36*n**2 Let t be 4/(-22
{ "pile_set_name": "DM Mathematics" }
5/76) Simplify (b**10)**(-1/4)/((b/(b**(-4/7)*b))/b*b*(b/(b/b**(-9))*b)/b) assuming b is positive. b**(83/14) Simplify (h**2*h)/(h/(h*h*h/((h*h**(-2/11)*h)/h))*h)*(h**(4/11)*h)/h*h**(-8/5) assuming h is positive. h**(107/55) Simplify ((h/h**(-2/11))/h)**(3/25)*h**(-2/31)*h*h**(25/2)*h*h assuming h is positive. h**(263547/17050) Simplify (y**(-6))**(2/19)/((y/y**(-8))/(y**(2/83)*y)) assuming y is positive. y**(-13574/1577) Simplify (n*n*n**(3/8)*n)**(-6)*(n*n*n**(-1/6))/(n/((n*n**(-18)/n)/n)) assuming n is positive. n**(-461/12) Simplify (r**(1/27)*r*((r/(r/r**(1/4)))/r)/r)**(-33) assuming r is positive. r**(847/36) Simplify (o**(-2/39)*o*o)**5*(o**(-26))**(-7/5) assuming o is positive. o**(8998/195) Simplify (t*t**0*t)**(25/4)*((t**(-24)/t)/t)/t**12 assuming t is positive. t**(-51/2) Simplify (l**(-1/2)/l*l)**37/(l**(2/5))**(-12) assuming l is positive. l**(-137/10) Simplify ((q*(q*q*q*(q/(q*q**(-1/18)*q))/q)/q*q)/(q/(q**(-4/11)/q)))/(q*q**13*q*q**(1/3)/q) assuming q is positive. q**(-2899/198) Simplify ((f**1/f*f*f)**(-3/37)/(f/f**(-1/3)*f)**(-8/11))**0 assuming f is positive. 1 Simplify ((w**(-2/29)/w)/(w*w/(w*(((((w/w**(-2/5))/w)/w)/w)/w)/w)*w))/((w/(w/w**(-6)))/(w*(w*w*w/w**(-6))/w)) assuming w is positive. w**(1208/145) Simplify (t**(-1/7)/(t/(t/(t/(t**(-5)*t)))))/((t/t**(-1/6)*t)/(((t*t**(-4/11)/t)/t)/t)) assuming t is positive. t**(-4469/462) Simplify (((o/(o*o**5/o))/o**0)/(o**(2/5))**(1/2))**8 assuming o is positive. o**(-168/5) Simplify ((m/m**1)**28/((m*m**(2/7))/m)**(-26))**31 assuming m is positive. m**(1612/7) Simplify (x**(-3)/x)**7/(x*x*x**2*x)**(3/23) assuming x is positive. x**(-659/23) Simplify ((b**(1/2)*b)**(5/7)*(b/b**(-1/4))**(-5))**18 assuming b is positive. b**(-1305/14) Simplify (m**(-2/9))**(-38)/((m*m*m*m**(1/7))/(m**0*m)) assuming m is positive. m**(397/63) Simplify (w**(6/13)*w)/w**(-4/5)*w*w/(w**(5/2)*w)*w*w**(-8) assuming w is positive. w**(-811/130) Simplify ((c*c/c**(-22)*c)**45)**(-2/43) assuming c is positive. c**(-2250/43) Simplify ((z**9*z)/(z**(-11)/z))/(z/(z*z/((z/((z/z**(-1))/z))/z))*z)**28 assuming z is positive. z**50 Simplify ((h*h**10)/h**(-9))/((h/(h/(h*h**(-5/6))))/h**5) assuming h is positive. h**(149/6) Simplify (q**(-3/4))**(3/4)/(q**(8/9)/((q/(q*q**(-5/8)))/q)) assuming q is positive. q**(-263/144) Simplify (r**(-16)/r)/(r/(r**(4/11)/r))*(r**(2/5))**(-8/5) assuming r is positive. r**(-5301/275) Simplify (r/(r/r**5)*r**0*(r**(-2/21)*r)/(r/r**(-3)))**(-11) assuming r is positive. r**(-440/21) Simplify (o**(3/7))**(-3)/(o**(2/9)/o)**(-11/2) assuming o is positive. o**(-701/126) Simplify ((x/((x/(x/(x**(-5)*x)))/x))/x*x/(x**10*x))/((x/(x**12/x)*x)/x**7) assuming x is positive. x**11 Simplify (k/(k/(k*k/(k*k*k/(k/(k/(k*k/(k*k**(-2/41)/k))*k))*k*k)))*(k/(k**(1/20)*k))/k)/(k**(-10)/k**(-14)) assuming k is positive. k**(-5741/820) Simplify (z/(z/(z**(-3)/z)))**14/((z**(4/3)*z)/z**14) assuming z is positive. z**(-133/3) Simplify ((u**17/u)/u)/u*u*(u/(u*(u*u/u**(3/7))/u))/u*(u**2/u)**(-3/10) assuming u is positive. u**(919/70) Simplify (((v/(v*v**(-5)))/v*v**9)**45)**28 assuming v is positive. v**16380 Simplify (y*y*y**(-17/2))**(-1/35)*y**(3/7)/y**(2/23) assuming y is positive. y**(849/1610) Simplify (b**(2/3))**(-49)*(b**(-6)*b)/b**(-13) assuming b is positive. b**(-74/3) Simplify ((d**5*d*d*d*d*d**(-5/7)*d)**(1/7))**49 assuming d is positive. d**65 Simplify ((l*(l*l**(-14))/l)/l)**(-2/19)*(l*l**(-18)/l*l)/l**(5/4) assuming l is positive. l**(-1275/76) Simplify (c**(3/7))**(-2/9)/(c*c**1)**(-2) assuming c is positive. c**(82/21) Simplify (p/p**(-2))**(-13)*p**24*p/(p**(-24)*p) assuming p is positive. p**9 Simplify ((c*c**(-1)*c*c*c*(c/(c**6/c))/c)**(-50))**38 assuming c is positive. c**3800 Simplify ((a/(a**(11/2)/a)*a)/a**(-3/4))/(a*a**(-3/8)*a*a**(2/37)/a) assuming a is positive. a**(-719/296) Simplify ((h**(2/13)/h)/(h/(h/((h**(-3/19)/h)/h))))**(-4/11) assuming h is positive. h**(-1296/2717) Simplify (z**(-1))**(-44)/(z**(-10/9)/(z**6*z*z)) assuming z is positive. z**(478/9) Simplify (w**(-4))**(-3/40)*(w**(-6))**(8/3) assuming w is positive. w**(-157/10) Simplify p/p**1*p*p**22*(p*p**(-1/8))**28 assuming p is positive. p**(95/2) Simplify (h**(-21))**(-1/37)*((h**(1/16)*h)/h*h)/h**(3/20) assuming h is positive. h**(4381/2960) Simplify ((z**0/z)**(-45)*z/z**(-2/5)*z*z**(-1/9)*z*z*z)**(-5/2) assuming z is positive. z**(-2263/18) Simplify z**1*z*(z**(-18)/z*z)/z*z*z*z**(-1/12)*z**11*z assuming z is positive. z**(-37/12) Simplify (((j**(2/3)/j)**(4/17))**(-9/11))**31 assuming j is positive. j**(372/187) Simplify (h/h**(3/7))**(-20)/(h/(h/h**16)*h/(h/h**3)*h*h) assuming h is positive. h**(-227/7) Simplify (x/((x/((x**0*x)/x)*x)/x*x)*x*(x*(x*x**7)/x)/x*((x*x/(((x**(-2)/x)/x)/x))/x)**(4/23))**44 assuming x is positive. x**(8140/23) Simplify (t**(-1)*(t*t**2)/t)**13 assuming t is positive. t**13 Simplify c**(-14/9)*c**(-1/8)*c**(-27)/((c/((c*c/(c**(-1/9)/c)*c)/c))/c) assuming c is positive. c**(-1841/72) Simplify z**3*z*(z*z**(1/14))/z*z*(z/z**2)**(-14) assuming z is positive. z**(267/14) Simplify ((o**(-5/6)/o*o)/(o/(o/(o**20/o*o*o))))/(o**(-2/9)*o/(o*o**(-5/4)*o)*o) assuming o is positive. o**(-823/36) Simplify ((j**(-1/4))**46*(j/j**(-2))/j**4)**10 assuming j is positive. j**(-125) Simplify (k*k**(-3))**(-26)*(k/(k/k**1))/(k/(k*k**(-15)/k)) assuming k is positive. k**37 Simplify ((r/(((r**(-2/19)/r*r*r*r*r*r*r)/r)/r))/(r*r/(r*(r*(r*r**(-20/3)*r)/r*r)/r*r)*r))**(2/23) assuming r is positive. r**(-862/1311) Simplify ((g/g**(2/3))/g*g)**(20/9)/((g/g**(-1))/g**(5/4)) assuming g is positive. g**(-1/108) Simplify (y**3)**(-24)/((y/(y*y**(-5)))/y**(-9)) assuming y is positive. y**(-86) Simplify (c**(-3/2))**41/(c*(c*c**(-3))/c)**(-20) assuming c is positive. c**(-203/2) Simplify (m/m**(2/5))**(2/5)*m**(2/7)/(m*m**(-14)) assuming m is positive. m**(2367/175) Simplify (x**5/x)**(7/3)/(x**(4/11)*x*x**(4/5)/x) assuming x is positive. x**(1348/165) Simplify z**(-1/4)/z*z*z*z/(z/(z**6*z)*z)*z**(-16)/(z**(3/7)*z) assuming z is positive. z**(-299/28) Simplify (j/(j/((j*j/(j*(j/(j/j**(2/3)*j))/j))/j)))**(13/5)*(j/j**7)**(-6/7) assuming j is positive. j**(904/105) Simplify ((m/(m**13/m)*m**(3/5)*m*m)/(m/(m**1*m))**(-3))**(-12/5) assuming m is positive. m**(684/25) Simplify (s**(-6)*s**(-7)*s**(-1/6)*s/(s/(s**5/s)))**(-21) assuming s is positive. s**(385/2) Simplify ((f/(f/((f**(-13)*f)/f))*f*f**(-1/3)*f)**(-4/21))**(-1/38) assuming f is positive. f**(-68/1197) Simplify h**12*h*h**(-11/3)*(h/(h*h**(3/5)))**26 assuming h is positive. h**(-94/15) Simplify (((j**6/j)/(j*j*j/(j*j**(-2/5))))**(-4/3))**(18/11) assuming j is positive. j**(-312/55) Simplify ((o/o**(1/4)*o)/o)**(-6)/((o**2*o)/(o*o**(2/5)*o*o)) assuming o is positive. o**(-41/10) Simplify ((w*(w/((w*w**(-15))/w))/w)/(w*w**(-1/5)))/(w**(-9)/(w*w**(-8)*w)) assuming w is positive. w**(91/5) Simplify (f*f**7)/(f*f**(-15))*(f/f**(-1)*f)**(-32) assuming f is positive. f**(-74) Simplify ((t**(1/2)/(t/(t*t/(((t/((t*t*(t**(5/3)/t)/t)/t))/t*t*t)/t*t)*t)))/(t**2*t**1))**(-6/5) assuming t is positive. t**(11/5) Simplify (((w/(w*w*w**10))/w)**(-22))**35 assuming w is positive. w**9240 Simplify (((l**0)**(-23))**(41/4))**(-49) assuming l is positive. 1 Simplify (o**(-4/9)/o)/o**(-3/5)*((o*o**(-3/4)/o)/o)**(-1/8) assuming o is positive. o**(-901/1440) Simplify (r**(-2))**(-1/8)/(r*r/(r/(r**(-12)/r))*r*r**(-8)) assuming r is positive. r**(77/4) Simplify (p**2)**18/(p**(-4/3))**37 assuming p is positive. p**(256/3) Simplify ((l**(-2/5)/l**(2/7))**29)**(-41) assuming l is positive. l**(28536/35) Simplify (((g*g**(2/7)*g*g*g)/(g/g**(-2/11)*g))/(g**2/g**(-4)))**(-5/12) assuming g is positive. g**(125/77) Simplify ((v**(2/7)/v**(-1/6))**(-2/67))**(-4) assuming v is positive. v**(76/1407) Simplify y*y**(2/13)*y*y**(-15)*(y**(-3/4))**(-49) assuming y is positive. y**(1243/52) Simplify ((x*(x*x*x/(x/(x**1*x))*x*x)/x)/x)**(1/28)*(x**(-11)/x)/(x*x**1) assuming x is positive. x**(-387/28) Simplify ((o/o**(-3/4))**(23/4)/(o**3)**(-9))**37 assuming o is positive. o**(21941/16) Simplify (q**4)**9/(q**(-32)/(q**(6/31)/q)) assuming q is positive. q**(2083/31) Simplify o*o**(-20)*o*o**(3/25)*((o*o*o**(-1/22)*o)/o)/(o**(-24)/o) assuming o is positive. o**(4991/550) Simplify z**(4/17)*z**(-2/9
{ "pile_set_name": "DM Mathematics" }
)**(-31) assuming z is positive. z**(1271/30) Simplify ((t*t*t*t/(t*t/(t*t**(2/3)*t)))/t**(-1/33))/((t/(t*t/(t/(t/t**(3/4)))))/(t/(t*t**(-11))*t)) assuming t is positive. t**(2237/132) Simplify (i/(i/((i*i/(i/(i/(i*i*(i/(i/(i*i/(i*i**(1/25)))))/i*i))))/i))*i/i**(-1/5))/(i**6*i**(12/11)/i) assuming i is positive. i**(-1884/275) Simplify ((k**(-2/59))**(-2/41))**(-44) assuming k is positive. k**(-176/2419) Simplify (z*z**(-12)*z)**(-41)/(z*z/((z/z**(-3/8))/z)*z**(1/50)) assuming z is positive. z**(81671/200) Simplify ((i*(i**0/i)/i)/i)**(-43)*(i**3*i*i*i)**(1/32) assuming i is positive. i**(1379/16) Simplify (n**2/n)**(-37)*n**(3/8)/(((n/(n**(-5/6)*n*n)*n*n)/n)/n) assuming n is positive. n**(-875/24) Simplify (f**(5/8)*((f*f**(-34)*f)/f)/f)/(f**(-1/12)/f**(-1/26)) assuming f is positive. f**(-10399/312) Simplify (x**(-1)*x)**(-2/81)/((x**(7/4)/x*x*x)/((x/(x*x/(x/(((x*x*x**(1/14))/x)/x*x))))/x)) assuming x is positive. x**(-135/28) Simplify (((w/w**(2/11)*w*w)/(w*w**4))/(w/w**(-8)*w**(-1/2)))**(-31) assuming w is positive. w**(7285/22) Simplify h/h**(1/7)*h**(-1/3)*h*h*h/(h/(h*h*h/h**(-9)*h)*h)*h*(((h*h**7*h)/h)/h)/h assuming h is positive. h**(452/21) Simplify (j**(1/14))**(-2/27)*j**(-13/7)/(j*j/(j*j*j**(4/11))) assuming j is positive. j**(-3116/2079) Simplify ((f*f**(-6)*f**(-6))**(-9))**(-2/133) assuming f is positive. f**(-198/133) Simplify (v**0)**(2/41)*v**(1/38)/((v*v**21/v)/v) assuming v is positive. v**(-759/38) Simplify (((c**(3/5)*c)/(c/(c/(c/(c/(c*(c**8*c)/c))))))/(c**4*c**3/c))**(1/48) assuming c is positive. c**(-67/240) Simplify ((((d*d**0)/d)/d)**(-5/19)*(d/(d*d/(d**(-6)*d))*d)/d**(-2/19))**16 assuming d is positive. d**(-1408/19) Simplify ((y/y**(-2/3))**(-37)*((y/(y*y**(2/5)*y*y))/y)**(5/3))**(-3/11) assuming y is positive. y**(202/11) Simplify c*c**(-5)*c**(-1/12)*c**(-4/13)/(c/(c/c**11)) assuming c is positive. c**(-2401/156) Simplify (((b**(-1/6)*b)**(-38))**6)**37 assuming b is positive. b**(-7030) Simplify (n**32*n*n**(3/26))**(-12) assuming n is positive. n**(-5166/13) Simplify (((o*o**(-23)/o*o)/o)/(o/o**(-15/8)))**(-3/2) assuming o is positive. o**(621/16) Simplify ((m*m/(m*m**(2/5)/m*m*m))/(m/(m/(m*m/(m/m**(-2)))))*(m/m**3)/m**3)**(2/13) assuming m is positive. m**(-44/65) Simplify (p**1/p)**(-20)*p*p/(p/((p*p**(-16))/p))*p*p*(p**(-4/5)*p)/p assuming p is positive. p**(-69/5) Simplify (y*y**(4/13)*y*y)**40/(y/(y*y**(2/25))*y**(-19)/y) assuming y is positive. y**(49526/325) Simplify (y**(-8))**(-24)/((y*(y**17/y)/y*y)/y**(-17)) assuming y is positive. y**158 Simplify (f**(-10/9)/f**24)/((f/(f**(2/43)/f))/(f*f*f**(-3/11))) assuming f is positive. f**(-107861/4257) Simplify (a/a**13)/(a**(8/3)*a)*a/a**(-5)*a**(-8)/a assuming a is positive. a**(-56/3) Simplify (((c/(((c/(c*c*(c*c**(-7/2))/c))/c)/c*c))/c*c**(-4))**11)**(-34) assuming c is positive. c**2057 Simplify (l*l**(-18))**(10/13)/(l/(l*l**(-2/17))*l*l)**(1/58) assuming l is positive. l**(-84044/6409) Simplify ((c**(-10)/c)/(c/c**(-1/32)))/(c**(-2/7))**(12/13) assuming c is positive. c**(-34267/2912) Simplify (x**22)**(-43)*((x**(-1/6)/x)/x)/((x*x**(3/8))/x) assuming x is positive. x**(-22765/24) Simplify (o**(-18)/o*o)/(o/((o**(-10)*o)/o))*(o**18/o)/(o*o**(-2/51)*o) assuming o is positive. o**(-712/51) Simplify (n**20/n**(-18))**(17/3) assuming n is positive. n**(646/3) Simplify (v*v*v**(-23)*(v/(v**(-9)*v))/v*v*v)**14 assuming v is positive. v**(-154) Simplify (d**(-12)*(d*d**(-3/5))/d)/(d**(-1/4)/d**(-9)) assuming d is positive. d**(-427/20) Simplify ((p/p**(2/3))/p)**(1/16)/(p**16/p**8) assuming p is positive. p**(-193/24) Simplify f**(-3)/(f/(f/(f/((f/f**(3/8))/f)))*f)*f/(f/(f/(f/(f*f/f**(10/7))))*f)*f*(f*(f*(f*f**(3/5)*f)/f*f*f)/f)/f assuming f is positive. f**(-337/280) Simplify (k**6/k**10)/(k**(2/51)/(k*((((k*k**(1/7))/k)/k)/k)/k*k)) assuming k is positive. k**(-1748/357) Simplify ((l**(6/19)*l)/(l/(l/(l**(-9)/l))))/(l*l*l/((l/(l*l/l**(-3/8)*l)*l*l)/l)*l)**(3/14) assuming l is positive. l**(21629/2128) Simplify ((n/(n/((n/n**(-13)*n*n)/n)))/(((n*(n/(n*n/n**(2/37)*n*n))/n*n*n)/n*n*n)/n))/((n*n**(1/6)*n*n)/n**(1/7)) assuming n is positive. n**(20081/1554) Simplify ((l**(4/11)/l*l*(l/((l/(l**(-1/2)/l))/l))/l*l*l*l*l)**(6/7))**(-1/2) assuming l is positive. l**(-27/22) Simplify (j/((j/(j*j/(j*j/(j*j**(-2)))))/j))**(5/3)/(j/j**1)**(-19) assuming j is positive. 1 Simplify ((a**0)**(-4))**(4/3) assuming a is positive. 1 Simplify (i**(-1/19)*(i**16/i)/i)/(i**26/((i*i/i**(-7/2)*i)/i*i)) assuming i is positive. i**(-211/38) Simplify (q*q**(-7/2)/q*q*q**(-19))/(q**19)**(-6/25) assuming q is positive. q**(-847/50) Simplify ((l**4/l)/l)**(5/18)/(l**(-1))**16 assuming l is positive. l**(149/9) Simplify (w/(w*w**22))/w**(-4)*(w**18*w)/w**20 assuming w is positive. w**(-19) Simplify (a**11/((a*a**(-1/4))/a))/((a*a**(10/3))/a)**(-49) assuming a is positive. a**(2095/12) Simplify (s/s**(2/7))**(2/9)/((s**(-4/9)*s)/((s/(s**(-2/39)*s))/s)) assuming s is positive. s**(-1102/819) Simplify o**(-2/51)/o**21*o/(o*o/o**(-12)*o)*o*(o**(1/6)*o)/o*o*o*o*o assuming o is positive. o**(-3047/102) Simplify (k**4/k)**(-2/69)*k**(-2/5)*k**(-1/7) assuming k is positive. k**(-507/805) Simplify (j**(7/4)*j**(-1/15)*j/((j*(j*j**5*j*j)/j)/j)*j*j/j**(4/5))**18 assuming j is positive. j**(-561/10) Simplify (g/(g/(g*g*g**0/g*g)))**(4/3)*(g/(g**(-2/7)/g*g))**(-9) assuming g is positive. g**(-187/21) Simplify ((k/((((k*k**17)/k)/k*k)/k))/(((k**(-2)*k)/k)/k))/((k**(-1/5)/k)/k*(k*k*k**8)/k) assuming k is positive. k**(-94/5) Simplify (l**(-1))**(-1/7)*(l/(l**(-12)*l))/l*l**9 assuming l is positive. l**(141/7) Simplify (p**(-4/3)*p*p*p*p/(p/(p/p**20)))/(((p*p/(p*p**(-28)*p)*p)/p*p)/(p/p**(-23)*p)) assuming p is positive. p**(-64/3) Simplify (b**11)**24*b**21*b*b*b*b**(-17) assuming b is positive. b**271 Simplify (w**10/((w**(-21)*w*w)/w))/(w**5/w**(3/8)) assuming w is positive. w**(203/8) Simplify (((((t*t**1/t)/t)/t)**36)**(1/5))**(-47) assuming t is positive. t**(1692/5) Simplify (x/(x**(-2/13)/x)*x**4*x**(-5)/x*x**(-8))**(1/12) assuming x is positive. x**(-17/26) Simplify ((k*k/(k**(-2)/k))/k**(-5))**(-2) assuming k is positive. k**(-20) Simplify ((f**(-2))**(-2/29)/((f/f**(-9))/((f*f*f**5*f)/f)))**44 assuming f is positive. f**(-3652/29) Simplify ((f*(f**(-5/7)*f*f*f)/f*f*f*f/f**(7/4)*f*f)**9)**(-1/2) assuming f is positive. f**(-1395/56) Simplify (o**(3/10))**(-8)/(o**14/o**(-12)) assuming o is positive. o**(-142/5) Simplify (y**(-1/4)/((y*y*y**(-7))/y)*y**(4/7)*y**(-3/5))**(18/7) assuming y is positive. y**(7209/490) Simplify ((t*t*t/(t*t/t**(-2/3)))**(2/27)*(t/t**(-1))/t*t/(t**(3/7)*t))**(-43/4) assuming t is positive. t**(-7267/1134) Simplify (f**(-18)*f*f**(-3/8))/(((f**17/f*f)/f)/(f**(2/15)*f)) assuming f is positive. f**(-3869/120) Simplify (b**(1/9))**(-1)/(b*b**(-18)*b*b**(1/6)) assuming b is positive. b**(283/18) Simplify (p**8*p*p/p**6*(p**(-1/3))**(2/55))**(-4/19) assuming p is positive. p**(-2632/3135) Simplify (u**(-2/7)/(u/(u**(-6)/u)))**44 assuming u is positive. u**(-2552/7) Simplify (g/g**28*(g*(g/g**(-26))/g)/g)/(g**(-24)/g*g**(-4/13)/g) assuming g is positive. g**(329/13) Simplify ((r/(r**(-2)*r))/r*r**5)/((r/(r/r**(3/8))*r)/r*r*r*r**(8/3)) assuming r is positive. r**(23/24) Simplify o**0/o**15*o**(-14)*o*o*o**15 assuming o is positive. o**(-12) Simplify ((z**(-1)*z)**4*z**6/((z**(-3)*z)/z))**6 assuming z is positive. z**54 Simplify (z**(-4)*z*z*z**(-5)*z)/(z**12/z**(-11)) assuming z is positive. z**(-29) Simplify (i/i**4)/(i/(i*i/i**(-6)))*(i/i**14)/i**(-6) assuming i is positive. i**(-3) Simplify (w/(w*w**(1/5)))/w*w*w**(-3/28)*w**(-26)*w*w**(-32/5)/w assuming w is positive. w**(-4579/140) Simplify (h**(-9))**32*(h**(-10))**(-1/52) assuming h is positive. h**(-7483/26) Simplify (a/a**(-5))/a**(-25)*(a**(-14)/a*a)/(a**(-2/55)/a*a) assuming a is positive. a**(937/55) Simplify (((c*c**(-3/5))/c)/c*(c*c**2*c)/c)/(c**1/(c**(5/7)/c)) assuming c is positive. c**(4/35) Simplify ((w/(w**(-11)/w))/(w*w*w**(-2/7)*w))/(w**(-1/8)/((w*w*w/w**(-3/7))/w)) assuming w is positive. w**(719/56) Simplify x**6*x/(x/(x*x*x/(x*x**(4/5))*x)*x)*(x/(x**0/x*x))/(x/x**(-8/3)) assuming x is positive. x**(68/15) Simplify ((u**2*u)/u)/u**(-1/10)*(u/((u*u**(-10))/u)*u)**(-7/9) assuming u is positive. u**(-21
{ "pile_set_name": "DM Mathematics" }
u. 3 Suppose -21*y + 5*y + 135040 = 16*y. What is the greatest common factor of y and 10? 10 Let x be ((12 - 8)*9)/(-1 + 0). Let d = x + 79. What is the greatest common factor of 387 and d? 43 Let r(g) = g**2 + 11*g + 49. Let q be r(-23). Suppose -2*d = -5*s + q, s + 5*d - 22 = 43. Calculate the highest common divisor of 26 and s. 13 Suppose 3*x - 4*x = 4*t - 215, 201 = x + 2*t. What is the highest common divisor of 2563 and x? 11 Let s = -1874 + 1878. Let l be 0*1/(-2) + 625. Suppose -i - 1650 = -5*r, 0 = 2*r + s*i - l - 13. Calculate the greatest common divisor of 47 and r. 47 Let c = 176 - 168. What is the highest common divisor of 8 and c? 8 Let t = -39 - -29. Let m(n) = n**3 + 9*n**2 - 12*n - 13. Let r be m(t). Let p = 36 - 1. What is the highest common divisor of p and r? 7 Let b be (-4)/14 + 96/42. Let s(v) = b - 61*v - 59*v + 115*v. Let p be s(-1). Calculate the greatest common divisor of p and 28. 7 Suppose -3*y + y = -2*s + 40, -118 = -5*s - 4*y. Let j = s - -8. Let q be ((-150)/35)/((-2)/7). What is the greatest common factor of j and q? 15 Suppose -5*b = w - 172, w = 302*b - 301*b - 44. What is the highest common factor of 1431 and b? 9 Let y be (-9730)/(-20)*(1 + 1 - (-2 + -14)). What is the greatest common divisor of y and 9? 9 Suppose -4*a - 12 = 5*i, 4*a + 0*i - 12 = i. Suppose 2*u - 11 + 3 = -a*h, 3*u + 2*h = 14. Suppose 4 = u*x - 14. Calculate the greatest common factor of 3 and x. 3 Let j(l) = -7*l**2 - 1250*l + 291. Let p be j(-156). What is the greatest common divisor of p and 153? 153 Let b = -483 - -610. Let k = 160 - b. What is the greatest common factor of k and 990? 33 Let g = -69 + 31. Let p = 53 + g. Let o = -55 + 70. What is the highest common divisor of p and o? 15 Suppose 4030 + 185 = 5*u. Suppose 0 = 25*q - 14*q - 33. Suppose -i - q*d + 399 = i, 4*i - u = 3*d. What is the greatest common divisor of 23 and i? 23 Let o(r) = r - 15. Let w be o(15). Suppose -3*z = 0, 5*i + 11*z - 7*z - 125 = w. Calculate the greatest common factor of i and 75. 25 Suppose 967*w = 182*w + 52863 + 19357. Suppose 3*t - 275 - 55 = 0. Suppose -3*c = 2*c + o - t, 2*o = -2*c + 36. Calculate the highest common factor of c and w. 23 Let u be 6/2*200/15. Suppose 0 = -9*g - 3412 + 1036. Let k = 384 + g. Calculate the greatest common divisor of k and u. 40 Let a(v) = v**3 + 39*v**2 - 2*v - 77. Let p be a(-39). Let d be p + (-4)/(-5)*(-45)/(-18). Calculate the greatest common divisor of d and 75. 3 Let m = -591 + 179. Let q = -380 - m. What is the greatest common divisor of 304 and q? 16 Suppose 4*g = 19 - 7. Suppose -263*d = -261*d + 3*s + 16, s = d - 37. What is the greatest common factor of d and g? 1 Suppose 24*w + 329 = 19*w - 2*s, -3*s - 6 = 0. Let t be (-45 + w)*(-8)/5. Calculate the highest common divisor of 16 and t. 16 Suppose 3*p = 9, -p + 490 - 2917 = -5*y. What is the highest common factor of y and 252? 18 Let t = -1 - -27. Let j = 61 + t. Suppose 3*f + 5*c - 2*c = 57, j = 5*f + c. Calculate the highest common divisor of 170 and f. 17 Suppose 67*h + 13336 = 71*h + 2*s, -6656 = -2*h - 3*s. What is the highest common factor of h and 188? 47 Suppose 4*n + 24 = 0, 3*a + 5*n - 10*n - 87 = 0. Calculate the greatest common divisor of a and 95. 19 Suppose 309*i - 5*h + 5 = 308*i, -2*i + 14 = -4*h. What is the highest common divisor of i and 455? 5 Let q = -77 + -140. Let p = -32 - q. What is the greatest common divisor of p and 5? 5 Let j be (1656/(-180))/(6/(-210)). Calculate the highest common divisor of 19481 and j. 161 Let c = 149 - 14. Let s be (c/(-6))/3*2/(-3). What is the highest common divisor of s and 135? 5 Let f(v) = -v. Let q be f(-8). Suppose -28*m = -1088 - 368. Calculate the highest common divisor of m and q. 4 Let y = -11 + 95. Let s be ((-6)/(-12))/(7/y). Calculate the greatest common factor of 10 and s. 2 Suppose -17 = 4*a + 5*i + 4, -4*a - 4*i - 24 = 0. Let t be ((-384)/(-40) + a)/(1/45). Calculate the highest common divisor of 189 and t. 27 Let l be (-5 + 6)*-2*-6. Let t be ((-78)/l - -6)*-6. Suppose 0 = 3*o + 5*j - 146, -4*j + 165 = 4*o - 43. What is the greatest common divisor of o and t? 3 Let m(i) = -i**3 + 7*i**2 - 4*i - 6. Let z be m(6). Let t = 530 + -510. Let r be (8/(-14))/(t/(-630)). Calculate the highest common divisor of z and r. 6 Suppose 0 = -b + 5*s + 426, -3*s - 246 = b - 712. What is the highest common divisor of b and 44? 11 Suppose -271 - 7369 = -382*t. Let b = -290 + 460. Calculate the greatest common factor of b and t. 10 Let r = -3 + 8. Suppose k = -5*k + 2*k. Suppose k = 3*n - r*t - 113, -15 = 2*t - 5*t. What is the greatest common factor of 115 and n? 23 Let m(d) = 53*d**2 - 119*d + 597. Let w be m(5). What is the highest common divisor of 4 and w? 1 Suppose 0*z - 2*z = -18. Let t be 7 + -3 + 2*(-1)/(-2). Suppose t*i - 267 = -6*p + 2*p, p = -3*i + 72. Calculate the highest common factor of p and z. 9 Let a(q) = q**3 + 11*q**2 + 8*q - 20. Let r be a(-10). Let z = 35 + r. Let x be (z/14)/(2/28). Calculate the highest common divisor of x and 5. 5 Let w(k) = 2*k**2 - 2*k - 2. Suppose -3*l + 3 = -3. Let g be w(l). Suppose 13*v - 15*v = -12. Calculate the greatest common factor of g and v. 2 Let f = 807 - 357. Let o be (19 + -1)/(214/535). What is the highest common factor of f and o? 45 Let x = 563 + -555. Let a(o) = 2*o**2 - 7*o. Let w be a(x). What is the highest common divisor of w and 90? 18 Suppose 99*j - 85 = 98*j. Let k be 4*27/(-12) + 19. What is the highest common factor of k and j? 5 Suppose 0 = 2*t - 33*c + 36*c - 1871, -4*t + 3763 = 3*c. What is the greatest common factor of 3182 and t? 86 Suppose 10 = 2*i + j - 108, -i = -5*j - 48. Suppose -3*l + q + 53 = 7, 36 = 4*l + 5*q. Let o be (58/6)/(l/42). What is the highest common factor of o and i? 29 Let g = 16 - 52. Let a = -30 - g. What is the greatest common factor of 150 and a? 6 Let m(o) = -21*o**3 + 2*o**2 - 1. Let x be m(-1). Let i(p) = -7*p**2 + 315*p + 432. Let c be i(46). Calculate the greatest common factor of c and x. 22 Let l(v) = -3*v + 5. Let q(g) = g - 1. Let c(s) = l(s) + 4*q(s). Let h be c(3). What is the highest common factor of h and 32? 4 Let o = -42 - -49. Suppose -3*a + o = 16. Let z be ((-4)/a + (12 - 15))*-18. Calculate the highest common divisor of z and 5. 5 Let k = -13 - -21. Suppose m - 35 = -3*b, 3*m + 2*b - 152 + 47 = 0. Let z be 826/m + (-8)/(-20). What is the greatest common factor of k and z? 8 Let l(o) = 18*o**2 + 24*o + 435. Let y be l(-11). Calculate the greatest common factor of y and 54. 27 Suppose 3*h + x - 8 = 0, 0 = 4*h - h - 3*x - 36. What is the greatest common factor of h and 2535? 5 Let z be (-3)/(-5)*(-11 + 21) + -1. Suppose 0 = 6*k - z*k - 110. What is the highest common divisor of k and 22? 22 Let d = -7708 - -14148. Calculate the highest common divisor of 40 and d. 40 Let y(i) = -i**3 + i**2 + 38*i - 65. Let q be y(2). Let k be 1/2 + 405/2. Calculate the highest common divisor of k and q. 7 Let z(r) = 85*r**2 + 50*r + 9. Let f be z(-3). What is the highest common factor of f and 494? 26 Let v(h) = -7*h - 44*h**2 + 4 + 47*h**2 + 5. Let w be v(-3). Calculate the greatest common divisor of w and 95. 19 Let q be (475/2)/(2/8). Suppose 10*j - 276 = 3*j - 2*u, -4*u = 2*j - 96. What is the highest common divisor of q and j? 38 Let o(k) = -9*k**2 + 30*k + 703. Let f be o(0). Suppose -5*d - 116 = -3*t, 4*t - 8*d - 152 = -4*d. Calculate the greatest common factor of f and t. 37 Let d(z) be the first derivative of z**3 - 31*z**2/2 + 22*z + 29. Let r be d(10). Let a = 66 - 30. What is the highest common factor of a and r? 12 Suppose -o = -4*a - 3021, o = 2*a - 2*o + 1503. Let v be a/(-297) + 12/(-22). Calculate the greatest common divisor of v and 9. 1 Let n be 1317/12 - (-8)/32. Suppose -4*v - 2*j + n = 0, -13*j = v - 12*j - 28. Calculate the highest common divisor of v and 9. 9 Let d(y) = y**2 - 15*y - 464. Let i be d(42). Calculate the highest common factor of 250 and i. 10 Let f(j) = 17*j + 144. Let g(l) = -l**3 - 11*l**2 - 32*l - 17. Let n be g(-5). Let r be f(n). Calculate the greatest common divisor of r and 25. 25 Let v be 4/8 - 26/4. Let k = 20 - v. Suppose 5*p = 25, 2*o + 4*p = -2*o + 72. Calculate the greatest common factor of k and o. 13 Suppose -27*p + 92*p = -10*p + 3975. Calculate the g
{ "pile_set_name": "DM Mathematics" }
-3/2, 1/9, 0.3, 55? -1 What is the seventh smallest value in 2/3, -2, 20, -3/7, 1, -0.41, -2/5? 20 What is the third biggest value in 6, -0.19, -386, -0.2, -3? -0.2 What is the sixth biggest value in 2, -9, -4, 0.3, 15/23, 6? -9 What is the biggest value in 18, -12, 3, -5, -0.08, 4.14? 18 Which is the sixth smallest value? (a) 765 (b) -1/2 (c) 8/7 (d) 0 (e) -13 (f) -2/5 a Which is the third biggest value? (a) 8 (b) 280 (c) 176 (d) -1/2 (e) -0.3 a What is the fourth biggest value in 100, -4, 0.4, 5/2, -5, -20766? -4 Which is the second smallest value? (a) 4 (b) -0.11781 (c) 5/38 c Which is the sixth biggest value? (a) -0.1 (b) 0 (c) 1 (d) -12 (e) -62 (f) -2/3 (g) -3 d Which is the third biggest value? (a) 6 (b) 3 (c) -4416 (d) 61 b Which is the third smallest value? (a) 18 (b) 75 (c) 3/31 b Which is the biggest value? (a) -1 (b) 2/3 (c) -6806 (d) 1 (e) 4 e Which is the smallest value? (a) -1 (b) -5/2 (c) 3 (d) -161 (e) 1 (f) -0.2 (g) 3/34 d What is the smallest value in -29/10, -1, 7, 2200? -29/10 What is the biggest value in 918472, -1, 0.2, 1? 918472 Which is the fifth biggest value? (a) 4 (b) -14 (c) -0.4 (d) -5 (e) 1/3 (f) -469 (g) 3/7 d What is the third smallest value in 25242, 0.3, 346, 0.4? 346 Which is the smallest value? (a) -66 (b) 1 (c) 257 (d) 0.2 (e) -0.6 a What is the third smallest value in 2/3, -5/2, -825, 4, -2, -1308? -5/2 What is the third biggest value in -33258, -2/15, -53, 0.5? -53 Which is the third biggest value? (a) 19 (b) 547821 (c) 6/19 c What is the sixth smallest value in 2, 3, -3/4, 0.09, 1, -4, -2? 2 What is the second smallest value in 0, 566, 58, 5, 2/11, -4/7? 0 What is the second biggest value in 65.21, -0.0645, 3? 3 Which is the fifth smallest value? (a) -4 (b) 2 (c) 14 (d) 125/51 (e) -5 c What is the third smallest value in 0.08, -226.86, 5, 2/13, 2? 2/13 Which is the biggest value? (a) 916188 (b) 5 (c) 1 (d) 0.11 a What is the biggest value in 63600.1, 5, 0? 63600.1 Which is the fifth smallest value? (a) 0.21 (b) 0.011068 (c) 2/3 (d) 1 (e) 0.1 d What is the fourth smallest value in 3, 1/2, 132, -15775, 0? 3 What is the fourth biggest value in 4, -5, -38/3793, 4/9? -5 Which is the sixth smallest value? (a) -1/4 (b) -2/1479 (c) -2 (d) 0.4 (e) 7 (f) -0.1 (g) 0 d What is the smallest value in 2/11, 165, 12.7, -0.7, 3? -0.7 Which is the second biggest value? (a) 9/4 (b) -2/17 (c) -61 (d) -37317 b Which is the fourth smallest value? (a) -5 (b) 105 (c) -3 (d) -0.2 (e) -2/35 e Which is the third biggest value? (a) -9 (b) -0.3 (c) 2/3 (d) 1889 (e) 2 (f) 30/13 e What is the biggest value in -67, -61, -287? -61 Which is the fourth biggest value? (a) 0.3 (b) 10/7 (c) 4 (d) 3 (e) -79/4 (f) 1/4 a What is the fifth biggest value in -1/12, 104/27, 3/10, 2, 0.59? -1/12 What is the second smallest value in -3/5, -2, 3/4, 1.2, 57958? -3/5 What is the third smallest value in -2758, -2/17, 1.136, 4? 1.136 What is the smallest value in 3/8, 1.7, -5039, -0.3, -1/2? -5039 Which is the fifth smallest value? (a) 33 (b) 6 (c) -12 (d) 1/4 (e) 0.23 a What is the seventh smallest value in 2/11, -0.4, 2, 292058, -3/4, -1, 0? 292058 What is the fourth smallest value in 1, -1/19, -0.4, 0.4, -8, -154, -4? -0.4 Which is the third biggest value? (a) 0.1 (b) 981.41 (c) 1.01 a Which is the smallest value? (a) 7 (b) 78 (c) -8 (d) -11 (e) 0.2 (f) -0.8 (g) -0.2 d Which is the biggest value? (a) -4 (b) -755 (c) -1/94 (d) 1/2 (e) -1/4 (f) 1 f What is the biggest value in 3/8, 117, -30.1, 0.2, -2/13, -5/2? 117 What is the biggest value in -169, -3, 29/18, 0.4? 29/18 What is the fourth biggest value in 8, 0.1, 2, -0.016621? -0.016621 Which is the second biggest value? (a) 2/11 (b) -2/21715 (c) 10/17 (d) -10 (e) 5 c What is the second smallest value in 2175, 4, -0.047935? 4 What is the third smallest value in -11, -0.4, 1, -6789, 2, -1/2? -1/2 What is the smallest value in 7793, 2/17, 144? 2/17 What is the fifth biggest value in 4, 0.5, 0.4, -11, 15484, 2/19? 2/19 Which is the smallest value? (a) -6 (b) 1/3 (c) -533781 (d) 2/15 c What is the smallest value in 0.3, -246, 47646? -246 What is the third biggest value in -1/584, 1, -2/19, -0.1, 5/3, -1, -2? -1/584 Which is the smallest value? (a) 14 (b) 0.01 (c) 25 (d) -3 (e) -1/39 d Which is the third biggest value? (a) -0.5 (b) 7/5 (c) -158.111 (d) -0.1 a Which is the fifth smallest value? (a) -142 (b) -1031 (c) -7 (d) 5 (e) -5 d Which is the fourth smallest value? (a) -2 (b) 52 (c) 9.1 (d) -0.14 (e) 1 c What is the biggest value in -5, 5, 9712016? 9712016 What is the fifth smallest value in 4/13, -2, -32, -0.1297, -1/8? 4/13 What is the second smallest value in -40, -0.8, -2, -1, -5? -5 What is the second biggest value in -3, -1, 0.5, -4, -0.2, -5/42? -5/42 Which is the third biggest value? (a) -1/52 (b) -727 (c) -2/77 b What is the second biggest value in 1.7, 2/9, 3/11855, 0.1, 3? 1.7 Which is the second biggest value? (a) 14 (b) 2 (c) 63 (d) 45 d Which is the second biggest value? (a) 15.8971 (b) -0.6 (c) 0 c What is the fourth smallest value in -8, -411/53, 3, -0.1, -2/3, 0.4, -16/7? -2/3 What is the third smallest value in -0.6, 145.8, 2/169? 145.8 What is the fifth biggest value in -1, 1/2, -2, -4.805, -2/15? -4.805 What is the third biggest value in 26, 7404, 10/7, -1? 10/7 Which is the second smallest value? (a) -5 (b) -24 (c) -145613 b Which is the fourth smallest value? (a) -3/2 (b) 2/1833 (c) -4 (d) 3254 d Which is the second smallest value? (a) -2 (b) -523863 (c) -1.5 (d) 2/13 a Which is the smallest value? (a) 11/3 (b) -5 (c) 1492 (d) 57/2 (e) -3 b Which is the second biggest value? (a) -60/397 (b) 20 (c) -2/15 (d) -4/5 (e) -2/9 (f) 29 (g) 4 b Which is the second biggest value? (a) 4/3 (b) 0.3 (c) 0.013 (d) -0.043 (e) 3/20 (f) 3 a Which is the fourth biggest value? (a) 0 (b) -4 (c) 3/4 (d) 24/7 (e) -3923 b Which is the fifth smallest value? (a) 5/11 (b) 0 (c) -3/7 (d) 1/3 (e) 0.667 (f) 3 e What is the third biggest value in -5, 6/29, -2, -11.772? -5 What is the sixth smallest value in 4, 3/4, 13, -17742, -0.7, 0, -5? 4 Which is the second biggest value? (a) 2 (b) -2 (c) 4/45 (d) -0.15 (e) 827/5 a What is the third biggest value in 0.43, -26, -1, -0.04, 3? -0.04 What is the biggest value in 1, 0.07, -0.1, 413280, -3? 413280 What is the third biggest value in 60/7, 2, 2/3, -30, -77? 2/3 Which is the fifth smallest value? (a) 21/2 (b) 0.4 (c) -9/10 (d) -1/5 (e) -4 (f) 12 (g) 84 a What is the smallest value in 5, 10/11, -2, -765? -765 What is the second biggest value in 51949, -2/11, -3, -37/7? -2/11 What is the biggest value in 4, 145, 1/3, -1147, 0? 145 Which is the biggest value? (a) 343 (b) 8/33 (c) 0.72 (d) 0 a Which is the second biggest value? (a) -337 (b) 3/4 (c) 3807 b Which is the fourth biggest value? (a) 6 (b) 10.8 (c) -1/3 (d) -1537 d Which is the sixth biggest value? (a) -1 (b) 1/8 (c) 2 (d) 3 (e) 1 (f) -11 (g) 10.86 a Which is the smallest value? (a) -8 (b) 2 (c) -0.1 (d) 8/3 (e) 5 a What is the third smallest value in -1/7, -1, 253.26768, 5/4? 5/4 What is the second biggest value in 0.04, 1057/4, 7.6, 2? 7.6 What is the fourth biggest value in -0.5, -2, 0.03, -47643? -47643 What is the second biggest value in 616, -0.5, 26, 6, 19? 26 Which is the fifth smallest value? (a) 0.8 (b) -1447 (c) -10 (d) 3/7 (e) -12 a Which is the fifth smallest value? (a) 2/9 (b) -0.1 (c) 0.84 (d) 0.5 (e) -7 (f) -551 (g) 2 d What is the third smallest value in 1/10, -21/8, 1/3, 0.5463, -5? 1/10 What is the seventh biggest value in 17, -0.2, -1, 2/137, -2/3, 10, 0.1? -1 What is the second biggest value in 75/4, 2.2, -0.1, 3, 419.7? 75/4 Which is the fourth smallest value? (a) 2 (b) -29445 (c) -19 (d) -0.2 (e) 1/4 e Which is the third smallest value? (a) -5/4 (b) 17 (c) -5.3 (d) 0.5 (e) -0.5 (f) -22 (g) 0.3 a What is the fourth smallest value in -0.01, -4326, -1/7, 107? 107 What is the fifth smallest value in -1/4, -1, 2/11, -3/13, 1223.56? 1223.56 Which is the second biggest value? (a) -2/9 (b) 0.8013 (c) -7/3 (d) -2/173 d Which is the sevent
{ "pile_set_name": "DM Mathematics" }
lculate s(j(b)). 6*b**2 - 2 Let w(i) be the second derivative of -8*i**4 - 3*i. Let y(q) = 180397296 + 2*q - 180397296. Determine y(w(j)). -192*j**2 Let h(o) = 38*o. Let l(v) be the second derivative of 14*v**4/3 + v**2 + 4497*v. Give h(l(n)). 2128*n**2 + 76 Let a(u) = u**2. Let d = 11 + -4. Let n(f) = -26 - 58 - d + 18 - 2*f. Give a(n(x)). 4*x**2 + 292*x + 5329 Let m(z) be the second derivative of -z**4/4 - 2*z. Let p = 95 - 56. Let k(v) = -4*v**2 + 39 - p. Give k(m(j)). -36*j**4 Suppose 3*o - 6700 = -5*z + o, -5*o + 4020 = 3*z. Let g(d) = -z + 1340 + 11*d. Let p(w) = 7*w**2. What is g(p(r))? 77*r**2 Let k(w) = -w**2 - 2897*w - 1. Let j(t) = -t**2 + 21. Give k(j(c)). -c**4 + 2939*c**2 - 61279 Let d(n) = -2*n**2. Let w(q) = -q**2 + q + 2. Let z be w(1). Let x(o) be the second derivative of 0 + 1/6*o**3 + 4*o + 0*o**z. Determine x(d(u)). -2*u**2 Let u(r) = r - 12 - 3*r - 1. Let w(l) be the third derivative of l**4/24 + 439*l**2 + 68. Determine w(u(b)). -2*b - 13 Let g(k) = -3*k + 19*k + 19*k. Let m = -163 + 168. Let b(t) = -m*t + 866 - 866 + 4*t. Determine g(b(w)). -35*w Let h(f) = 127747*f**2. Let z(b) = 1003*b. What is z(h(j))? 128130241*j**2 Let f(d) = 6*d. Let s be (-3)/(-2) - (5049/(-22))/17. Let b(n) = -s + 15 + 10*n - n. Calculate f(b(k)). 54*k Let i(q) = 308*q - 128. Let r(a) = -11*a. What is r(i(o))? -3388*o + 1408 Let m(x) = -28*x. Let v(r) = 78*r**2 + 44*r - 22. Suppose 1069 = 11*u + 1135. Let t(w) = -11*w**2 - 6*w + 3. Let o(y) = u*v(y) - 44*t(y). Give m(o(c)). -448*c**2 Let h(n) = 10*n**2. Let o(d) = 34*d + 42. Let u(f) = -15*f - 20. Let z(m) = 3*o(m) + 7*u(m). Give h(z(c)). 90*c**2 + 840*c + 1960 Let k(s) = 13*s**2. Let o(y) = 3847505*y. Calculate k(o(q)). 192442831425325*q**2 Let z(c) = 275*c**2 + 2498*c + 33. Let j(i) = 2*i. Give z(j(o)). 1100*o**2 + 4996*o + 33 Let p = -783 - -795. Let l(a) = -6*a - 13*a + 30*a - p*a. Let s(k) = 30*k - 6*k + 22*k. What is l(s(i))? -46*i Let m(g) be the third derivative of 0*g + 1/4*g**5 + 0*g**4 + 0*g**3 - 33*g**2 + 0. Let w(d) = 4*d**2. Determine w(m(p)). 900*p**4 Let z(g) = 1495*g + 1. Let a(b) = -355*b. Give z(a(d)). -530725*d + 1 Let o(t) = t**2 + 97*t + 374. Let s be o(-4). Let r(u) = -18*u**2 + 19*u**2 - s*u**2 - 5*u**2. Let h(g) = 1 + 5*g**2 - 1. Give h(r(a)). 180*a**4 Let z(y) be the second derivative of y**4/12 + 6*y. Suppose m = 4*k - 68, -15 = -k - m - 3. Let u(t) = k*t**2 - 26*t**2 + 7*t**2. Give u(z(a)). -3*a**4 Let b(s) = -228*s**2 - 30. Let n(c) = -31921*c**2 - 4194. Let t(m) = 699*b(m) - 5*n(m). Let z(d) = -2*d. Calculate t(z(w)). 932*w**2 Let b(s) = -203*s**2. Let r(v) be the first derivative of v**4/12 - 103*v + 139. Let x(p) be the first derivative of r(p). Determine b(x(k)). -203*k**4 Let o(s) = 4*s**2 + 12483*s + 2 - 12483*s. Let l(m) = -7*m**2 - 5. Let k(p) = 2*l(p) + 5*o(p). Let u(v) = 23*v. Determine k(u(j)). 3174*j**2 Let z(j) = 4*j + 5. Let o(n) be the first derivative of 53*n**2/2 - n - 1469. Give o(z(m)). 212*m + 264 Let b(u) = 1901*u. Let i(g) = -1491*g**2. What is i(b(y))? -5388177291*y**2 Let n(k) = 59*k. Let q(x) be the third derivative of -5*x**4/6 - 35*x**2 + 6*x. Determine n(q(c)). -1180*c Let w = -121 + 123. Let s(h) = -5*h**w + 19*h**2 - h**2 - 10*h**2. Let y(m) = m**2. Calculate s(y(d)). 3*d**4 Let h(w) = 2*w. Let s = 6 + 51. Let q = -55 + s. Let a(n) = -9*n**2 - 10*n**q - 4*n**2. Determine a(h(r)). -92*r**2 Let t(p) = 4*p + 31. Let u(m) = -125669*m. Determine t(u(w)). -502676*w + 31 Let f(h) = 6*h. Let v(k) = -591*k**2 + 4*k - 7. Give v(f(o)). -21276*o**2 + 24*o - 7 Let f(u) = 4*u - 69. Let t(i) = -91*i - 150. What is f(t(c))? -364*c - 669 Let z(b) = 2*b. Let k(w) be the first derivative of -1910*w + 1934*w - 5*w**2 + 3*w**2 + 92. Give k(z(y)). -8*y + 24 Let c(s) = 6*s**2 - s + 1. Let n(u) = -1932*u**2 + 276*u - 276. Let i(o) = -276*c(o) - n(o). Let d(a) = -2*a. What is i(d(r))? 1104*r**2 Let d(c) = -1456*c. Let n(x) = -2206*x**2. What is n(d(w))? -4676578816*w**2 Let n(h) = -1070394*h - 3. Let g(o) = -2*o. What is n(g(x))? 2140788*x - 3 Let l(c) = -2*c**2. Let d(k) be the first derivative of 77*k**3 + 1200. Give l(d(g)). -106722*g**4 Let g(b) = 15968*b. Let l(w) = 121*w. Determine g(l(m)). 1932128*m Let c(r) = 1491693*r. Let g(j) = 6*j**2 + 5*j. What is c(g(m))? 8950158*m**2 + 7458465*m Let d(x) = 2*x**2. Let z(j) = -111796034*j**2. Determine z(d(b)). -447184136*b**4 Let m(g) = 6*g. Let v(s) = 38*s**2 - 4*s - 4. Let t(x) = 38*x**2 - 3*x - 3. Let c(b) = -4*t(b) + 3*v(b). What is m(c(y))? -228*y**2 Let o(n) = n. Let x(m) be the second derivative of -2341*m**4/12 - 2206*m. Calculate x(o(k)). -2341*k**2 Let q(a) = 37*a. Let h(g) = -408 - 426 + 834 + 9*g. Give q(h(k)). 333*k Let r(n) = -172*n**2 - 28212*n + 14108*n + 14104*n. Let d(u) = 6*u. Give r(d(a)). -6192*a**2 Let r(z) = -2*z**2. Let t(g) be the second derivative of -16469*g**3/6 + 1977*g. Give t(r(i)). 32938*i**2 Let i(u) = -212*u**2. Let v(w) = -25*w**2 + 4. Let s(c) = -88*c**2 + 14. Let k(p) = 6*s(p) - 21*v(p). What is i(k(t))? -1908*t**4 Let b(o) = 2*o**2. Let c be (8 + -10)/((-1)/(3/3)). Let d(f) = 24*f**2 - 3*f**2 + 0*f**2 + 60*f**c. Give b(d(q)). 13122*q**4 Let s(r) = -1222*r - 2. Let u(m) = -12*m + 9*m + 12*m - 6*m - 5*m. Determine s(u(g)). 2444*g - 2 Let y(q) = -414*q + 794*q - 377*q. Let j(o) = o**2 - 1628*o. Determine j(y(t)). 9*t**2 - 4884*t Let g(c) = -5*c**2. Let z be 59/7 + -8 + (-102)/(-7). Let q(v) = 10*v + 3*v - z*v. What is g(q(k))? -20*k**2 Let q(t) = 325094*t. Let r(z) = -23*z**2. Determine r(q(v)). -2430780503228*v**2 Let m be (3 - -1) + -2*1. Let i(f) = 0*f + 0*f - 16*f**m. Let c(a) be the third derivative of -a**4/12 + 27072*a**2. Calculate c(i(y)). 32*y**2 Let b(g) = 130 - 196 + 4*g + 310. Let y(u) = u. Determine y(b(h)). 4*h + 244 Let r(x) = -247544*x**2. Let h(b) = 1800*b**2. Determine h(r(m)). 110300457484800*m**4 Let b(n) = -2*n. Let j(v) = -299*v**2 + 53549 - 53549 + 12*v**2. Calculate b(j(g)). 574*g**2 Let t(x) = 1 + 1723*x**2 - 4 - 1725*x**2. Let n(y) be the first derivative of -y**2/2 + 207. Give n(t(q)). 2*q**2 + 3 Let l(b) = 18*b + 4. Let r(c) = -1291267*c**2. Calculate l(r(g)). -23242806*g**2 + 4 Let j(m) = -10*m**2. Let q be 234/(-52)*(-2)/3. Let g(x) = q*x**2 + x**2 - 2*x**2 - 5*x**2. What is j(g(c))? -90*c**4 Let f(q) = -847*q**2. Let s(h) = 21856201 - 21856201 + h. Determine s(f(l)). -847*l**2 Let r(f) = 10*f**2 + 12*f + 12. Let d(c) = 4*c**2 + 5*c + 5. Suppose h - 8*h = -84. Let k(y) = h*d(y) - 5*r(y). Let q(s) = 19*s**2. What is k(q(i))? -722*i**4 Let i(g) = 2*g. Let o(n) = -14*n**2 - 20*n**2 + 16*n - 6*n. Let a(w) = 156*w**2 - 348*w**2 - w + 193*w**2. Let p(q) = -20*a(q) - 2*o(q). Determine p(i(l)). 192*l**2 Let r(u) = 36*u. Let t(y) = -y**2 - 8*y - 1. Let i(x) = -3*x**2 - 32*x - 10. Let d(g) = -i(g) + 4*t(g). Calculate r(d(z)). -36*z**2 + 216 Let g(x) = 6*x**2 + 2. Let o(a) = -495*a - 2079. Let p(c) = -2*c - 9. Let q(v) = -o(v) + 231*p(v). Calculate q(g(z)). 198*z**2 + 66 Suppose -11514 = -19*b - 0*b. Let l(k) = -b + 606 - 28*k. Let u(c) = -c. What is u(l(t))? 28*t Let i(k) = k**2 - 7. Let l(y) = -y**2 + 3. Let d(b) = -5*b**2 + 181. Let q(c) = -d(c) + 6*l(c). Let m(s) be the first derivative of q(s). Give i(m(h)). 4*h**2 - 7 Let p(x) = 16603*x + 5. Let j(s) = -119*s**2. Give p(j(w)). -1975757*w**2 + 5 Let t(g) = 2*g - 11. Let l(q) = -385*q + 99. Let m(p) = 2*l(p) + 18*t(p). Let j(i) = 4*i**2. What is m(j(k))? -2936*k**2 Let x(m) be the third derivative of 5*m**5/4 - 1323*m**2. Let h(f) = 6*f**2. What is x(h(u))? 2700*u**4 Let o(p) = 19*p**2. Let a(l) = -26*l + 4. Let d be a(-2). Let m(f) = -2*f**2 + 29*f - d*f + 27*f. Calculate m(o(z)). -722*z**4 Let n(f) = -3*f**2 - 48*f + 80*f - 48*f + 16*f - 3. Let m(w) = 231*w. Give n(m(g)). -160083*g**2 - 3 Let b(g) be the first derivative of -g**4/3 + 175*g - 77. Let y(q) be the first derivative of b(q). Let n(t) = -t - 31. What is n(y(z))? 4*z**2 - 31 Let s(j) = -1307*j**2 + 14*j - 6. Let g(d) = 872*d**2 - 10*d + 4. Let c(a) = 7*g(a) + 5*s(a). Let z(v) = -v. Calculate z(c(k)). 431*k**2 + 2 Let l(p) = 2*p**2. Let a = 241 + -243. Let j(b) = -73*b + 11. Let y(i) = 37*i - 4. Let g(v) = a*j(v) - 5*y(v). What is g(l(x))? -78*x**2 - 2 Let o = 175 - 164. Let b(j) = -36*j**2 - 2*j - 2. Let a(w) = -179*w**2 - 11*w - 11. Let r
{ "pile_set_name": "DM Mathematics" }
*n(v) + 6*t(v)? -5*v**2 Let i(q) = 5*q**3 - 4*q**2 - 9*q. Let j(l) = l**3 - l**2 - 2*l. Let k be 36*(-1 + 8/16). Give k*j(h) + 4*i(h). 2*h**3 + 2*h**2 Let n(o) = -o + 5*o + 2*o - 2*o - 6*o**3. Suppose 2*w + 5*t - 25 = 0, -3*w + 11 = 3*t - 13. Let y(b) = -3*b**3 - w*b + 8*b**3 + 2*b**3. What is 6*n(i) + 5*y(i)? -i**3 - i Let a(q) = q**3 + q**2 + q + 1. Let b(x) = 23*x**3 + x**2 + x + 4. Calculate -a(n) + b(n). 22*n**3 + 3 Let d(v) = -v - 1. Suppose 4*o - 57 - 35 = -3*b, 4*b - 2*o = 108. Suppose 0 = 2*i + 32 - b. Let g(p) = p**2 + 3*p + 2. Determine i*g(h) - 7*d(h). -2*h**2 + h + 3 Let m(x) = 5*x - 15. Let q(f) = -6*f + 17. Let i(c) = -7*m(c) - 6*q(c). Let k(u) = 2*u + 5. Give 10*i(n) - 6*k(n). -2*n Let u(s) = -30*s**2 - 19*s + 24. Let w(a) = 17*a**2 + 9*a - 13. Determine 6*u(r) + 11*w(r). 7*r**2 - 15*r + 1 Suppose 0 = -3*x - 8 - 43. Let y(l) be the third derivative of 7*l**4/12 + 11*l**3/6 + 1288*l**2. Let h(z) = 5*z + 4. Calculate x*h(c) + 6*y(c). -c - 2 Let m be ((-6)/(-3))/(2/(-4)). Let s(g) = -g. Let v(h) = h**3 + h**2 - 4*h - 3. Determine m*s(k) + v(k). k**3 + k**2 - 3 Let x(z) = 7*z**3 - 5. Let t(a) = 7*a**3 - a**3 - 2*a**3 - 3. Suppose -7*j = -6 - 1100. Let u = -163 + j. Give u*t(q) + 3*x(q). q**3 Let w(c) = 3*c**2 + c. Let x(t) = -t**2 + 16*t. Calculate 3*w(h) - x(h). 10*h**2 - 13*h Let j(g) = -7*g**3 - 3*g**2 + 3. Suppose 5 + 13 = 6*s. Suppose 3*p - 36 + 12 = 0. Let w(o) = 20*o**3 + 8*o**2 - 8. Calculate p*j(a) + s*w(a). 4*a**3 Let r be 37*(5/1 + -2). Let g be r/(-21) - 2/(-7). Let i(w) = -7*w**2 - w + 3. Let l(s) = -10*s**2 - s + 4. Calculate g*l(t) + 7*i(t). t**2 - 2*t + 1 Let q(x) = -2. Let h(a) = 21 - 15 - 2*a + a - 9. Suppose 0 = 5*g + 4*y - 35, g - 4*y + 11 + 6 = 0. Give g*q(i) - 2*h(i). 2*i Let g(v) be the first derivative of -15*v - 35/2*v**2 - 9. Let d(m) = 9*m + 4. What is 15*d(w) + 4*g(w)? -5*w Let m(w) = -28*w - 5. Let f(d) = -d + 1. Calculate -2*f(t) - m(t). 30*t + 3 Let a(t) = 9*t + 5. Suppose -5*d + 5*i + 21 + 14 = 0, -4*d + 14 = 3*i. Let z(k) be the first derivative of -5*k**2 - 6*k + 1. Give d*z(s) + 6*a(s). 4*s Let d(w) = 2*w + 14. Let n(x) = 3*x**3 - x**2 - x. Let h be n(-1). Let r(k) = k + 7. Let f(j) = h*d(j) + 7*r(j). Let p(o) = -2*o - 13. What is 7*f(v) + 4*p(v)? -v - 3 Let q be 19/(-5) - 6/30. Let p be (-4 - q)/(4 - 2). Let s(d) = 4 + 3*d**2 + 4*d**2 + 4*d + p*d**2. Let v(z) = -20*z**2 - 11*z - 11. Calculate 17*s(n) + 6*v(n). -n**2 + 2*n + 2 Let a(d) = -d**2 - 2*d + 7. Let y(b) = -b**2 + 10. Determine -4*a(k) + 3*y(k). k**2 + 8*k + 2 Let f(r) = -114*r - 148*r - 3*r**3 - 1 + 261*r + 2*r**3. Let d(c) = 8*c**3 + 2*c - 1. Determine -d(x) - 2*f(x). -6*x**3 + 3 Let l(k) = k**2 - 3*k + 2. Let q(x) = -6*x**2 + 16*x - 11. Let s = -74 + 42. Let n = s - -30. What is n*q(a) - 11*l(a)? a**2 + a Let f(j) = 7*j**3 - 5*j**2 + 5. Let b(a) = a**2 - 1. Let u be -5 - (-1 - 2) - (1 + 2). Give u*b(k) - f(k). -7*k**3 Let c(a) = 21*a + 5. Let f(o) = 2*o + 1. Give -c(i) + 4*f(i). -13*i - 1 Let m = 90 + -74. Let d(h) = -m*h + 274 - 274. Let j(z) = z. Determine -d(w) - 12*j(w). 4*w Let n(f) = f**2 - 7*f - 7. Let j(l) = 0 - 64*l + 201*l - 65*l + 2 - 70*l. Determine -7*j(q) - 2*n(q). -2*q**2 Let f(y) = -5125*y. Let k(l) = -394*l. What is 3*f(j) - 40*k(j)? 385*j Suppose -12*r + 232 = 268. Let h(w) = -5*w. Let o(v) = 11*v + 1. Let c be (-1)/(-2) + (-15)/2. Give c*h(m) + r*o(m). 2*m - 3 Let k(b) = -72*b**3 - 2*b. Let i(r) = -r**3. What is 2*i(q) + k(q)? -74*q**3 - 2*q Let j(z) = z**2 - z - 1. Let k(h) = 5*h**2 - 13*h - 1. Give 2*j(m) - k(m). -3*m**2 + 11*m - 1 Let o(b) = -7*b + 4. Let f(g) = g - 1. Let k(z) = 6*f(z) + o(z). Let j = 813 - 816. Let t(n) = n + 1. Determine j*t(u) - k(u). -2*u - 1 Let s(u) = 17*u**3 + 6*u**2 - 6*u + 10. Let f(j) = 34*j**3 + 14*j**2 - 14*j + 22. What is -3*f(x) + 7*s(x)? 17*x**3 + 4 Let q(c) = 5*c**3 + 2*c**2 - 3*c + 18. Let d(u) = 11*u**3 + 5*u**2 - 7*u + 36. Give -6*d(r) + 14*q(r). 4*r**3 - 2*r**2 + 36 Let t(v) = v - 1. Let l(k) = -2*k + 1. Let u be l(2). Let p(q) = q - 2. Suppose 4981*r = 4971*r + 10. What is r*p(y) + u*t(y)? -2*y + 1 Let j be 1/(-4)*(-6 + -2). Suppose -j*r = -2 + 12. Let f(y) = -6*y. Let d(w) be the third derivative of w**4/8 + 9*w**2. Give r*f(h) - 9*d(h). 3*h Let j(y) = 10*y**3 - 3*y**2 - 4. Let l(v) = v**3 + 2. Let c(t) = -j(t) - 2*l(t). Let i(x) = 84*x**3 - 20*x**2. Determine 20*c(u) + 3*i(u). 12*u**3 Let w(x) = -7*x**2 - x + 5. Let d(a) = -14*a**2 - 2*a + 9. Give 3*d(h) - 5*w(h). -7*h**2 - h + 2 Suppose -17*r + 13*r + 12 = 0. Let n(c) = -c + 4*c - 4*c. Let w(t) = -2*t. Determine r*n(o) - 2*w(o). o Let d(y) = 7*y**2 - 6*y. Let s(k) = -8*k**2 + 7*k. Let v = -97 - -97. Let h(m) = -m**2 - 2*m - 6. Let g be h(v). Calculate g*s(j) - 7*d(j). -j**2 Let x(z) = -1. Let l(v) = -36*v + 13*v + 20*v - 2 - 1 + 14*v. Give l(b) - 3*x(b). 11*b Suppose -7*i - 82 = -131. Let m(x) = -x**2 + x - 2. Let v(f) = -3*f**2 + 4*f - 7. Determine i*m(n) - 2*v(n). -n**2 - n Let m(d) = 2*d**3 - 5*d**2 - 5*d - 6. Let k(y) = -y**3 + y**2 + y - 1. Give -5*k(w) - m(w). 3*w**3 + 11 Let z = -25 - -47. Suppose 0 = g + 2, -2*l - l + z = g. Suppose 5*a - 21 = l*a. Let r(k) = 2*k**2 - 3*k. Let h(v) = 4*v**2 - 7*v. Determine a*r(d) + 3*h(d). -2*d**2 Let t be (-20)/(-90) - (-2)/(-9). Let v(y) = y + t*y - 4 + 0 + 3. Let r(i) = 1 + 1 + 0*i - 6*i + 4*i. Determine 3*r(n) + 8*v(n). 2*n - 2 Let a(j) = -4*j**3 - j**2 + 6*j - 2. Let v(q) = -11*q**3 - 3*q**2 + 18*q - 7. Determine -8*a(z) + 3*v(z). -z**3 - z**2 + 6*z - 5 Let q(h) = 7*h**2 - 3*h - 3. Let y(u) = -6*u**2 + 4*u + 1. Calculate 4*q(d) + 3*y(d). 10*d**2 - 9 Let l(t) = -t**2 - 7. Let u be -4 + (-7)/7 + 3. Let g(y) = 6*y**2 + 35. Give u*g(k) - 11*l(k). -k**2 + 7 Let k(t) = t - 1. Let y(w) = -w**2 + 6*w - 4. Let r(d) = -2*d + 1. Let i(f) = 5*r(f) + y(f). Give -i(m) - 2*k(m). m**2 + 2*m + 1 Suppose -4 = -4*o + 12. Suppose -3*s + s + o = 0. Let f(t) = -4*t - 2. Let w(m) = m + 1. Give s*f(n) + 4*w(n). -4*n Let b(h) = 10*h + 1. Let s(o) be the first derivative of -9*o**2/2 - 207. Calculate 2*b(z) + 3*s(z). -7*z + 2 Let c(h) = 2*h + 6. Let k(a) = 1. Give -2*c(s) + 14*k(s). -4*s + 2 Let k(x) = -2*x**3 + x**2 - x - 1. Let z(c) = 8*c**3 - 6*c**2 + 3*c + 40. What is 5*k(b) + z(b)? -2*b**3 - b**2 - 2*b + 35 Let m(h) = 15*h - 5. Let l(u) = -1. Let t(f) = -2*l(f) + m(f). Let w(o) = 14*o - 2. What is -3*t(x) + 4*w(x)? 11*x + 1 Let a(l) = -2*l**3 - 13*l**2 + 4*l. Let b(q) = -4*q**3 - 26*q**2 + 7*q. Give -11*a(f) + 6*b(f). -2*f**3 - 13*f**2 - 2*f Let n(o) = 4*o**2 + 7*o + 6. Suppose v = 3*b + 3, -5*v + 3*b + 25 + 2 = 0. Let z(g) = -g**2 - 1 + 6 - v - g. Calculate n(c) + 6*z(c). -2*c**2 + c Let h(m) = -4*m**3 - m - 1. Let o(t) = t + 12. Let a be o(-9). Let n(x) = -3*x**3 - x - 1. Let z = -21 - -19. Calculate a*n(v) + z*h(v). -v**3 - v - 1 Let p(i) = 6*i**3 - i**2 + 4*i + 2. Let d(g) = 2*g**3 + g**2 + g. Calculate -2*d(j) + p(j). 2*j**3 - 3*j**2 + 2*j + 2 Let d(t) = -28*t + 728. Let v(a) = 11*a - 364. Calculate -2*d(w) - 5*v(w). w + 364 Let u(q) = 6*q**2 - 1. Let f(o) = -o - 11. Let i be f(-6). Let x(y) be the second derivative of -y**4/3 + y**2/2 - 126*y + 4. Determine i*u(m) - 8*x(m). 2*m**2 - 3 Let u(z) = -3*z**3 - z**2 + 2*z - 1. Let m(w) = -w**3 + w. Let k = 6 - 4. Let i be 8/(-3 + 11 - 10). Calculate i*m(y) + k*u(y). -2*y**3 - 2*y**2 - 2 Suppose 6*k + 5*t = 4*k + 25, 5*k = 2*t + 19. Let i(a) = -4*a**2 + 6*a + 2. Let o(l) = -3*l**2 + 5*l + 2. What is k*o(z) - 4*i(z)? z**2 + z + 2 Let j(r) = r**3 + r + 1. Let a(c) = -4*c**3 - 3*c - 5. Give 2*a(b) + 6*j(b). -2*b**3 - 4 Let s(v) = 1 - 3 - 2*v + 0. Suppose 5*o + 2*k + 0 - 15 = 0, -o + 3 = 4*k. Let n(j) = -2*j - 3. Calculate o*n(f) - 4*s(f). 2*f - 1 Suppose 5*m - 4*a - 28 = 0, 4 = 2*m - 0*m + 2*a. Let r(i) = i**3 + i**2 + i. Let y(q) = 4*q**2 + 21*q + 4 - 4 - 17*q + 6*q**3. Determine m*r(k) - y(k). -2*k**3 Let d(o) = o**2 - o. Let t(s) = 2*s**2 - 2*s + 1. Suppose 53 - 104 = 17*x. What is x*d(c) + 2*t(c)? c**2 - c + 2 Let i(c) = -c**2. Let h(b) = 28*b**2 - b - 2. Determine -h(p) - 5*i(p). -23*p**2 + p + 2 Let k(a) = -a**2 - 2*a - 2. Let p(x) = 2*x**2 + 2*x + 7. Give -4*k(d) - p(d). 2*d**2 + 6*d + 1 Let l(g) = 12*g - 112. Let o(n) = 2*n - 17. Let f(s) = 3*l(s) - 20*o(s). Let c(j) = 9*j - 9. Let b be (-2)/((-10)/6 + 1). Determine b*c(a) + 7*f(a). -a +
{ "pile_set_name": "DM Mathematics" }
47/81 and 113/174. 4698 Find the common denominator of -41/30 and -87/40. 120 What is the common denominator of 32/251 and -35/2? 502 What is the lowest common multiple of 4 and 10? 20 Find the common denominator of 75/4 and -67/75226. 150452 Find the common denominator of 21/328 and 31/2624. 2624 Calculate the common denominator of -61/40 and 19/7552. 37760 What is the common denominator of -67/698 and 143/6? 2094 Calculate the smallest common multiple of 4710 and 1570. 4710 Calculate the smallest common multiple of 14 and 32. 224 What is the least common multiple of 1710 and 2565? 5130 Calculate the lowest common multiple of 357 and 189. 3213 What is the lowest common multiple of 486 and 1728? 15552 What is the common denominator of 83/24 and -33/2380? 14280 What is the lowest common multiple of 204 and 201? 13668 Calculate the lowest common multiple of 30 and 410. 1230 What is the lowest common multiple of 8 and 46957? 375656 What is the lowest common multiple of 33 and 540? 5940 What is the smallest common multiple of 381 and 15? 1905 What is the common denominator of -1/8 and 71/2314? 9256 What is the smallest common multiple of 55 and 581? 31955 Calculate the common denominator of -29/216 and 67/2040. 18360 What is the lowest common multiple of 18 and 1401? 8406 What is the common denominator of 79/8 and 83/208? 208 What is the common denominator of -67/3878 and 23/8? 15512 Find the common denominator of 17/25 and -37/30. 150 What is the common denominator of 39/10 and -155/726? 3630 Calculate the common denominator of -73/297 and -131/270. 2970 Find the common denominator of -71/36 and 25/332. 2988 Find the common denominator of 35/108 and 65/276. 2484 What is the lowest common multiple of 14 and 736? 5152 Calculate the common denominator of 93/40 and -137/48. 240 Find the common denominator of -23/63 and 59/273. 819 Find the common denominator of 95/4234 and 67/6. 12702 Calculate the lowest common multiple of 143 and 8619. 94809 Find the common denominator of 13/98052 and -67/4. 98052 Calculate the smallest common multiple of 81 and 828. 7452 Calculate the common denominator of -71/44 and -27/56. 616 What is the smallest common multiple of 90 and 180? 180 What is the smallest common multiple of 671 and 366? 4026 Calculate the lowest common multiple of 12 and 204. 204 What is the common denominator of -55/2799 and 59/27? 8397 Calculate the common denominator of 19/264 and -85/1296. 14256 What is the smallest common multiple of 212 and 424? 424 Calculate the least common multiple of 796 and 16. 3184 What is the common denominator of 14/69 and 79/18? 414 What is the least common multiple of 21 and 14? 42 Calculate the common denominator of -41/136 and 83/3264. 3264 Calculate the lowest common multiple of 4 and 1742. 3484 What is the smallest common multiple of 20 and 35? 140 What is the common denominator of 7/44 and -29/136? 1496 Calculate the common denominator of 67/7002 and 151/144. 56016 What is the common denominator of 71/32 and -87/10? 160 Calculate the lowest common multiple of 380 and 10. 380 Find the common denominator of 49/299 and 89/104. 2392 What is the smallest common multiple of 456 and 608? 1824 What is the common denominator of -9/14 and -73/66? 462 Calculate the least common multiple of 3210 and 321. 3210 Calculate the smallest common multiple of 552 and 552. 552 What is the smallest common multiple of 122 and 904? 55144 Calculate the least common multiple of 44 and 8. 88 What is the smallest common multiple of 33 and 21? 231 What is the common denominator of -15/7 and 61/288? 2016 What is the common denominator of -1/226 and -77/12? 1356 Calculate the lowest common multiple of 119 and 68. 476 Calculate the common denominator of -151/510 and -193/13260. 13260 Calculate the smallest common multiple of 1 and 3. 3 Calculate the common denominator of -49/39 and 119/6. 78 Calculate the least common multiple of 471 and 10. 4710 Calculate the common denominator of -55/3 and -74/171. 171 Calculate the smallest common multiple of 3186 and 1593. 3186 What is the smallest common multiple of 259 and 7? 259 Calculate the least common multiple of 48 and 51. 816 Calculate the lowest common multiple of 391 and 46. 782 What is the smallest common multiple of 4060 and 70? 4060 What is the common denominator of 43/744 and 59/136? 12648 What is the least common multiple of 1035 and 230? 2070 Calculate the smallest common multiple of 3 and 61. 183 What is the least common multiple of 108 and 1464? 13176 Calculate the common denominator of 61/612 and 77/52. 7956 Calculate the lowest common multiple of 7704 and 72. 7704 Calculate the lowest common multiple of 400 and 300. 1200 Calculate the lowest common multiple of 6 and 96. 96 What is the common denominator of 31/14 and -39/406? 406 Find the common denominator of 97/693 and 58/231. 693 Calculate the lowest common multiple of 138 and 78. 1794 Calculate the common denominator of -67/2 and 23/5. 10 Calculate the common denominator of -32/121 and 163/5610. 61710 What is the smallest common multiple of 5 and 1060? 1060 Find the common denominator of 6 and -15/17. 17 What is the smallest common multiple of 60 and 3? 60 Calculate the common denominator of 43/3509 and -51/1210. 35090 What is the common denominator of 67/75 and 26/295? 4425 Find the common denominator of 17/840 and -1/220. 9240 Find the common denominator of -19/9 and -6/13. 117 What is the smallest common multiple of 11 and 9? 99 What is the common denominator of -16/9 and 39/9031? 81279 What is the lowest common multiple of 5 and 2500? 2500 What is the lowest common multiple of 98 and 1064? 7448 Calculate the smallest common multiple of 2304 and 1536. 4608 Find the common denominator of 29/104 and 67/20. 520 What is the common denominator of -119/3492 and -53/6? 3492 What is the common denominator of -85/8 and -3/4? 8 Calculate the lowest common multiple of 492 and 738. 1476 Find the common denominator of 53/1070 and -50/963. 9630 What is the common denominator of -23/454 and 81/454? 454 What is the common denominator of -76/27 and -19/774? 2322 Find the common denominator of -7/754 and -62/39. 2262 Calculate the smallest common multiple of 35 and 17. 595 What is the smallest common multiple of 576 and 18? 576 What is the common denominator of 37/35 and 64/35? 35 What is the common denominator of 10/111 and 30/7? 777 Find the common denominator of 63/124 and 25/4. 124 Find the common denominator of 65/36 and 7/90. 180 What is the common denominator of -5/32 and 47/424? 1696 What is the smallest common multiple of 28 and 5420? 37940 Calculate the common denominator of 23/75 and 77/3699. 92475 What is the common denominator of -19/1624 and -83/1044? 14616 What is the common denominator of 17/8531 and 30/19? 8531 What is the common denominator of -42/13 and -33/7? 91 Calculate the common denominator of 59/10 and 77/768. 3840 Calculate the least common multiple of 22 and 16. 176 Calculate the smallest common multiple of 6 and 198. 198 What is the common denominator of -22 and -11/1096? 1096 Calculate the common denominator of -33/70 and -43/12. 420 What is the common denominator of 7/416 and -11/64? 832 What is the lowest common multiple of 1332 and 1628? 14652 What is the common denominator of -11/15 and -53/20? 60 Find the common denominator of 95/1014 and 101/2366. 7098 Calculate the smallest common multiple of 4420 and 8. 8840 Find the common denominator of 47/150 and 83/150. 150 Calculate the smallest common multiple of 208 and 296. 7696 What is the common denominator of 35/3 and 5/317? 951 What is the common denominator of 7/190 and 67/4? 380 Calculate the common denominator of -45/8 and -2. 8 Calculate the lowest common multiple of 56 and 16. 112 Calculate the least common multiple of 12 and 132. 132 Calculate the lowest common multiple of 32 and 672. 672 Calculate the lowest common multiple of 1216 and 399. 25536 Calculate the lowest common multiple of 5 and 929. 4645 What is the common denominator of 121/162 and -61/60? 1620 Calculate the lowest common multiple of 1248 and 1664. 4992 What is the smallest common multiple of 441 and 63? 441 Calculate the smallest common multiple of 73 and 2. 146 What is the common denomi
{ "pile_set_name": "DM Mathematics" }
(b) -0.03 (c) -3/2 (d) -4 (e) 3 a Let w be (12/(-10))/(((-6)/7)/(968/5082)). Which is the third biggest value? (a) -3 (b) -80 (c) w b Let p be 4 + -5 + (0/11)/(-8). Which is the second smallest value? (a) -0.2 (b) p (c) -3 (d) -4 (e) 1.6 c Let n be 1/(-3 - (-4790)/1595). Let m = 5425/17 - n. Suppose 5*a - 15 = i, i = -5*a + 11 + 4. What is the fourth biggest value in m, -1/5, -1, a? -1 Let m = -55 - -55.27. Let y = 11.27 - m. Let a = 11 - y. What is the third smallest value in -2, a, 2/13? 2/13 Let k = 9 - 9.05. Let p = -7.05 - k. Let g = 101 + -105. Which is the smallest value? (a) g (b) 0.3 (c) p c Let n be 10/(-24) + 1/(-4). Let r = 0.1 + 0.2. Let k = -10796.9 - -10797. Which is the second biggest value? (a) r (b) k (c) n b Let i = 92 - 65. Let x(p) = 37*p**2 + 336*p + 32. Let o be x(-9). Which is the third biggest value? (a) i (b) 0.2 (c) o b Let x = -623.55 + 623. Which is the fourth biggest value? (a) 1 (b) -3 (c) -1 (d) -4 (e) x b Let h(w) = -2*w**3 + 2*w**2 - w - 2. Let l be h(-2). Let f = l + -8. Which is the second smallest value? (a) f (b) -3/5 (c) 1 c Let g = -14 + 23. Let u be -58 + 58 - 7/(-1). Let v = u + -50/7. Which is the biggest value? (a) g (b) v (c) -4 (d) 0.2 a Let s = 3049/1273 + -164/67. What is the fifth smallest value in -0.3, -2, s, 0.5, 0? 0.5 Let v = 23/5 + -21/5. Let i = 6.9822 + 0.0178. What is the third biggest value in v, i, 1/7? 1/7 Let u = -6 - -9. Let n = -12.61 + 12.67. Which is the smallest value? (a) n (b) 4 (c) u a Let t = 0.09463 - 0.03063. What is the second biggest value in t, 19, -1/5? t Let j = 6.9242 - -0.0758. Let z = -0.44 + -0.06. Which is the second biggest value? (a) z (b) j (c) -0.3 (d) 5 d Let q = 7587 - 7586.8. Which is the third biggest value? (a) -1/3 (b) 2/13 (c) 2/5 (d) q (e) -4 b Suppose -6*w - 98 = -116. Which is the second smallest value? (a) 0.1 (b) w (c) -0.7 (d) -4/3 c Suppose 3*d = -4*j + 64, -24 - 40 = -4*j + 2*d. Suppose 0 = -20*f + j*f - 4. Let v = 40.4 + -41. Which is the third smallest value? (a) v (b) -2/15 (c) f b Let q = 0.10943 - -0.09057. What is the second biggest value in 16, q, -2/3, -5, -3? q Let c = -24479 - -24474. What is the smallest value in -3, c, 1/3, 11/12? c Let u be ((-35)/98 + 0)*(-8)/(192/56). Let g = 4.02 - 0.02. What is the smallest value in 0.03, u, g? 0.03 Let x be (54/10)/(117/195). Let m = 5.47 + -4.17. What is the biggest value in 3, x, m? x Suppose 4*x - 24 - 24 = 0. Let q(o) = -o + 18 + 0*o - x + 2*o. Let p be q(-3). What is the third smallest value in -2, p, -0.4? p Suppose 2*o + 3*o = -7*o. Let h = 18.71 + -3.41. Let f = h - 15.1. Which is the second biggest value? (a) f (b) o (c) -2 (d) -0.4 b Suppose 3*r = 5*o + 20, 0 = 6*o + 1 - 13. Which is the third smallest value? (a) 35 (b) -4 (c) r a Let u(h) = -h + 4. Let f be u(5). Let l be (-2)/(-20) + 7581/(-210). Let c be 24/l - f/3. What is the third biggest value in 4, c, 1? c Let w = -10.66 + 10.89. What is the fourth smallest value in -1/5, w, 2, -3/5? 2 Let m = 31191 - 31198. What is the third biggest value in m, -1/4, -1, 0.1, 6? -1/4 Let r(f) = -306*f + 10714. Let j be r(35). Which is the third biggest value? (a) -1392 (b) 1/6 (c) j a Let z = 4.467 - -2.533. Which is the smallest value? (a) z (b) -0.4 (c) -2/15 (d) -3 d Let o = 1 + 0. Let u = -2132.1 + 2306. Let v = -174.1 + u. Which is the second biggest value? (a) 4.2 (b) v (c) o c Suppose -y + 4*x = -43 + 6, 4*x = 0. Let w be 3 + (y/(-20) - (-57)/95). Which is the smallest value? (a) w (b) -5 (c) 5/4 b Let u = -0.867 + 4.867. Let d = 18 + -8. Let n = d - 10.4. What is the third biggest value in u, -0.1, n, 2/17? -0.1 Let m = 97.5 - 97. Let k be (112 - 1/(-1))*(-8 - -9). What is the second biggest value in m, k, -1/3? m Let x = -3138 + 3144. Suppose 3*j - h + 8 = -2, 4*h + 25 = -j. Let z = x + j. What is the second biggest value in -1, -3, z? -1 Let s = -0.053153 + 1.053153. Let h be (-84)/22 + 2 - -2. Which is the second smallest value? (a) h (b) s (c) 5 b Let i = -9.612 - -0.112. Let n = i - -10.2. Which is the biggest value? (a) n (b) 4 (c) -5 b Let q = -579 + 868. Which is the second smallest value? (a) q (b) -2/5 (c) -1/2 b Let u = -20 - 30. Let m = 49.99 + u. Let p(v) = -v. Let w be p(-1). What is the smallest value in -2/3, m, w? -2/3 Let y = 4199 - 4854.1. Let v = y - -655. What is the smallest value in 5/9, 1/3, v? v Let k(r) = -26*r - 184. Let h be k(-7). Let i = -79 + 65. What is the biggest value in 5, h, i? 5 Let y = -3541 + 3543. Which is the smallest value? (a) 1 (b) 1/3 (c) y (d) -10 d Let j = -13962 - -13964. Which is the second smallest value? (a) j (b) 5 (c) 1/16 (d) -5 (e) -0.1 e Let q = -1.9204 - 7.0796. Let w = -14.7 + 14. Let n = -0.6 - w. Which is the third smallest value? (a) q (b) -1 (c) n c Let y = -1.482 - -0.402. Let s = 0.78 + y. Which is the second smallest value? (a) s (b) 0 (c) 0.5 b Let x = 340.5 + -342.5. Which is the smallest value? (a) x (b) 20 (c) -2/7 a Let q = -2/325 - -2291/2600. Let z = -29/24 + q. Suppose 0 = -5*v + p - 3*p + 23, -p = 2*v - 9. Which is the biggest value? (a) -0.1 (b) v (c) z b Let u = -62 + 64. Let f = u + -2.3. Which is the biggest value? (a) 0.3 (b) 3/5 (c) f (d) -40 b Suppose 125*u - 327 + 1203 = 417*u. Let j be (4/30)/((-7)/(-35)). Which is the second biggest value? (a) j (b) u (c) -1 a Suppose 35 = -v + 2*h + 59, 3*v - 71 = 5*h. Which is the third smallest value? (a) 3/5 (b) v (c) 1 (d) 0.5 (e) 0.4 a Let u = 1686/665 + -18/133. What is the second smallest value in 0.05, 0, u? 0.05 Let d = -70 - -71. Let q be 2/13*d + (-623)/(-91). Let c be 1/(1 + q) - (-189)/280. What is the third biggest value in c, 22, -2? -2 Let w = 1144/35 - 233/7. What is the second smallest value in -0.003, -0.3, 3, 1, w? -0.3 Let d = -0.624 - 0.106. Let s = d + 0.19. Let v = s + 4.54. Which is the third smallest value? (a) -2 (b) 7 (c) v b Let s = -39 - -69. Suppose 2*u + s = -3*x, -31 = 4*x - 2*u + 9. What is the second smallest value in x, -14, -5, -2/17? x Let t = 19535.5 + -19535. Let h = 39 - 115/3. What is the fourth biggest value in 5, -2/71, h, t? -2/71 Let w be (((-72)/126)/(12 - 16))/(2/(-6)). Let m be 3/7*2/(-6). Let v be ((-88)/28)/2 - -1. Which is the fourth smallest value? (a) 1/2 (b) w (c) m (d) v a Let l = -6.4 + 6. Let m be 78/(-48) - (2 - (5 - (0 - -1))). What is the second smallest value in 35, -0.2, m, l? -0.2 Let j = 8.6 + -9. Let x = 4.6 + -5.2. Let q = x + 0.6. What is the biggest value in j, q, 2/13, -2/15? 2/13 Let s = -3 - -3.5. Let u = 10.25 - 33.3. Let g = -23 - u. Which is the third smallest value? (a) s (b) g (c) -0.2 a Let a = -3.3 + 2.8. Suppose -82*x = -83*x + 4. Let p = 0.1 - 0. What is the second smallest value in p, x, a? p Let p = -2/15751 + 15755/31502. What is the second smallest value in -1/7, -0.151, p, -0.2? -0.151 Let n be 63/(-9 + 0) + (7 - 0/(-1)). What is the third smallest value in -0.9, 6, -0.8, n? n Let m = 280.8 - 279.8. Let i be (-26)/(-195) + (-49)/30. What is the second smallest value in m, 0.005, -3, i? i Let r = -0.004 + -0.056. Let m = -7.46 + 7.26. Which is the third biggest value? (a) m (b) r (c) 2 (d) -0.01 b Let v = 23/10 - 29/10. Let w = -170 - -210. Which is the fourth biggest value? (a) w (b) v (c) 3/2 (d) 5 b Let w = 0.0262 - 62.5262. Let o = -62.5 - w. Which is the second biggest value? (a) o (b) -2/7 (c) -0.2 (d) -0.3 c Let x(u) be the first derivative of u**3/3 + 23*u**2/2 + 85*u + 174. Let l be x(-5). What is the biggest value in 0.06, 0.1, l? 0.1 Let u be ((-4)/(11 - 3))/((-3)/54). Let k be 5*4/(-6)*u/12. Which is the second biggest value? (a) k (b) 1/14 (c) -0.03 c Let h be -2 + 2 - (0/7 + -1). Which is the biggest value? (a) -14/15 (b) 0.5 (c) h c Let k(u) = -3*u**2 - 33*u - 80. Let j be k(-7). What is the second biggest value in 3, 0.2, 0, j? 3 Let v = -120.093 + 120. Let u = 8.093 + v. Let m = u - 7.5. What is the biggest value in 3, m, -5? 3 Let u = 1.745 - 1.825. Let c = -0.43 - 3.57. What is the second smallest value in c, 0.4, -1/4, u? -1/4 Let z = -0.071 + 27.071. Let l = -26.9 + z. Let r = 151/4 + -39. Which is the smallest value? (a) l (b) r (c) 2 b Let u = -67 + 68.6. Let x =
{ "pile_set_name": "DM Mathematics" }
(a) -2/7 (b) 6 (c) -1 (d) -2 a Which is the fourth smallest value? (a) -2 (b) 4/5 (c) 1/4 (d) -6 b Which is the second smallest value? (a) -899 (b) 1/2 (c) 1/10 c What is the third biggest value in 2, 90/19, 0.2? 0.2 Which is the third biggest value? (a) -0.2 (b) 1 (c) 1/4 (d) 0.03 d Which is the second biggest value? (a) 5 (b) -5/3 (c) -0.059 (d) 0 (e) 3 e What is the biggest value in 1, -2/125, 2, 0? 2 What is the second biggest value in -58, 3, -1? -1 Which is the second biggest value? (a) 5 (b) 6 (c) -12/49 a Which is the third smallest value? (a) -0.5 (b) -5 (c) -4 (d) -11/3 (e) -2 d What is the smallest value in -1, -11, 4, 2? -11 Which is the biggest value? (a) 0.1 (b) 0 (c) 2 (d) 5 (e) -4 d Which is the third biggest value? (a) -3 (b) -0.5 (c) -31 (d) 2 a What is the fourth biggest value in 3, -6/661, -0.4, 5? -0.4 Which is the biggest value? (a) -0.13 (b) -0.03 (c) -5 b What is the biggest value in -4, 2, 5, -24/37? 5 Which is the second smallest value? (a) 4 (b) -1 (c) 28 a What is the smallest value in -2, -2/17, 10? -2 What is the third smallest value in -1/4, 19/18, 1/4? 19/18 What is the fourth smallest value in -4/5, 13, -0.5, -3? 13 Which is the fifth biggest value? (a) 0.5 (b) 3 (c) 0.999 (d) 2 (e) 4 a What is the second smallest value in 62, 3, -1/5, 8? 3 What is the third biggest value in 4/9, -8, -7, 0.2? -7 What is the third biggest value in 0.1, 319, -0.9, -4/5? -4/5 What is the biggest value in -2/5, -85, 0? 0 Which is the biggest value? (a) 0 (b) -1/8 (c) -58 (d) 5 d What is the third smallest value in 4, 0.4, -241? 4 What is the fourth smallest value in 2, 4, -0.5, 1? 4 What is the fourth smallest value in -0.2, -1/2, 2/7, -15/4, -2/9? -0.2 Which is the fourth smallest value? (a) 1160 (b) 0 (c) -1/2 (d) -3 a Which is the biggest value? (a) 15 (b) -1 (c) 3 (d) 14 a What is the biggest value in -0.5, -2/13, 0.9, -4, -3/8? 0.9 What is the smallest value in 1/2, 3.996, 1/3? 1/3 Which is the smallest value? (a) 1/3 (b) 3/5 (c) -0.2 (d) -2 d What is the second smallest value in 0.2, -247, 21? 0.2 Which is the second smallest value? (a) -45 (b) 5 (c) -1 (d) -12/7 (e) -0.2 d What is the smallest value in -2/13, -139, -3, 14? -139 What is the second smallest value in 0.3, -406, 0.2, 1/2? 0.2 What is the biggest value in -3/8, 678, 1? 678 Which is the biggest value? (a) 1/16 (b) 55 (c) 4 (d) 2 b Which is the second smallest value? (a) 63 (b) 2 (c) 3 (d) 4 c What is the fourth biggest value in 57/4, 4, 0.1, 5? 0.1 What is the third smallest value in 5, 0.166, 4, -1, -3? 0.166 What is the biggest value in -129, -0.4, -3, 3? 3 Which is the biggest value? (a) 2/7 (b) 0 (c) -101 (d) -0.2 a What is the smallest value in 0.1, -4, 29? -4 Which is the third smallest value? (a) -2 (b) 1 (c) 2/5 (d) -70 c Which is the fourth smallest value? (a) -2.94 (b) 2/13 (c) 1 (d) 0.5 c What is the smallest value in -6, -1, -0.4, -1/4? -6 What is the smallest value in -0.5, -4.4, -4, -3/7, 5? -4.4 What is the third biggest value in -3/2, 0.4, -5? -5 What is the third biggest value in -0.14, 0.2, 0.17, -0.4? -0.14 Which is the biggest value? (a) -4 (b) 2 (c) 2/5 (d) -0.5 b What is the third biggest value in -2/13, 0.1, 11/2? -2/13 Which is the fourth biggest value? (a) 2/5 (b) 0.2 (c) -2 (d) -4 d Which is the second smallest value? (a) -2/11 (b) 45 (c) 0.3 (d) 2 (e) 0.1 e Which is the fourth biggest value? (a) -6 (b) 2 (c) -0.15 (d) 0.2 a What is the fourth biggest value in 1/9, -2/13, -0.4, 3, -43/5? -0.4 What is the third smallest value in 86, -1/6, 0? 86 Which is the second biggest value? (a) 3/5 (b) 0.043 (c) 2 (d) -2 (e) 0 a Which is the second biggest value? (a) -2/13 (b) 29.5 (c) 2/3 c What is the second biggest value in -2, 2/3, 10, 32? 10 What is the biggest value in 3, 1, 16, -0.4? 16 What is the second smallest value in -0.2, -234, -1, 0, 5? -1 What is the fifth smallest value in 1/2, -0.1, -2/9, -5, 2? 2 What is the second smallest value in 1, 0.027, -1/3, -2/41, -1/10? -1/10 Which is the second biggest value? (a) 2 (b) 4 (c) 5 (d) 0.3 b Which is the smallest value? (a) -0.5 (b) 3 (c) -26 c What is the smallest value in 0, 8/11, 1/3, -3/2? -3/2 What is the fourth smallest value in 0, 30, 2, -4? 30 Which is the fourth smallest value? (a) -0.3 (b) 0 (c) 8 (d) -0.1 (e) -2 b Which is the fourth smallest value? (a) 0.051 (b) 1/27 (c) -5 (d) -1 a What is the smallest value in -1/8, 1, -2, -26, 5/6? -26 Which is the biggest value? (a) 0.6 (b) 2 (c) -11 b Which is the fourth smallest value? (a) 14 (b) -1 (c) -1/3 (d) -15 (e) 1/4 e Which is the third biggest value? (a) 4 (b) 0.3 (c) 43 b What is the fourth biggest value in 1, -1/3, 112, 0.5? -1/3 Which is the third biggest value? (a) 22 (b) -4 (c) -0.205 b Which is the smallest value? (a) 2.5 (b) -3 (c) -0.6 (d) 4 b What is the fourth smallest value in -2/3, -2/7, 2/5, -3? 2/5 Which is the third smallest value? (a) 3/4 (b) 1 (c) -0.2 b What is the biggest value in 3, 218, -0.4? 218 Which is the third biggest value? (a) -25 (b) -1 (c) 67 a What is the third smallest value in -1, -2, -5, -0.021, -3? -2 Which is the third biggest value? (a) -2/11 (b) 3 (c) 2081 (d) 5 b Which is the biggest value? (a) -0.1 (b) 12 (c) 2 (d) 0.1 b Which is the fourth smallest value? (a) 1/3 (b) 2/73 (c) -0.4 (d) -0.3 a Which is the fifth biggest value? (a) 226 (b) -0.3 (c) 2 (d) 3/4 (e) -1 e Which is the smallest value? (a) -0.9 (b) -3 (c) 0.14 b What is the second smallest value in -6, -1/5, 0.3, 1? -1/5 Which is the second biggest value? (a) 0 (b) -5/2 (c) -4/3 c Which is the second smallest value? (a) 6 (b) 1 (c) -0.1 (d) 4 (e) 28 b Which is the second smallest value? (a) -4 (b) -0.1 (c) -2/25 (d) 1.56 b Which is the third biggest value? (a) -3/5 (b) -0.04 (c) 2/11 (d) 3 b Which is the smallest value? (a) -17 (b) -4/5 (c) 0 a Which is the biggest value? (a) -0.5 (b) 2/15 (c) -4 (d) 28 d What is the second smallest value in 4, -0.1, 2, 2/7, -58? -0.1 What is the smallest value in 1/10, -4/5, -1/5, 3? -4/5 What is the third biggest value in 1/2, 1/7, 3, -0.5? 1/7 What is the second smallest value in -5, -1/6, -17, 1/10, -2? -5 Which is the third biggest value? (a) 20 (b) 0.2 (c) 0.1 (d) -54 c What is the biggest value in -51, 3.1, -3/2, -5? 3.1 Which is the second biggest value? (a) -5 (b) -2 (c) -0.117 (d) -1 d Which is the fourth smallest value? (a) -3 (b) -3110 (c) 4/7 (d) 2 (e) 5 d What is the biggest value in 0, 0.2, -3? 0.2 Which is the fifth biggest value? (a) 0.5 (b) 1/11 (c) -0.5 (d) 62/9 (e) 3/5 c What is the second biggest value in 2, 93, -4? 2 What is the fourth smallest value in 3, -2/13, -1, 5, 33? 5 Which is the third smallest value? (a) 4 (b) 1/66 (c) 0.4 (d) 0.1 (e) 3 c What is the third biggest value in -218, -4, 3? -218 What is the third biggest value in -25, -3/7, -2/7, -1/8? -3/7 Which is the second biggest value? (a) 1 (b) 3 (c) 120/13 (d) -0.3 (e) 2/7 b What is the biggest value in -5, 318, -1? 318 What is the fifth smallest value in -1, -0.1, -0.27, 0, 2/5? 2/5 Which is the smallest value? (a) 2/3 (b) -4/13 (c) -0.4 c Which is the second smallest value? (a) -0.1 (b) -3/4 (c) 18.45 a Which is the smallest value? (a) 2/9 (b) -13/11 (c) -17 (d) -1/4 c Which is the fourth biggest value? (a) 12 (b) -1 (c) -78 (d) -5 c What is the fourth biggest value in -0.2, -4, 16, -3/115? -4 Which is the third biggest value? (a) 1 (b) 36 (c) 0.58 c Which is the fourth biggest value? (a) 4 (b) 0.06 (c) 3/2 (d) 0.03 d Which is the second smallest value? (a) -5 (b) 57 (c) -1 c What is the third smallest value in 5, -16, -0.04, 5/3? 5/3 Which is the third smallest value? (a) -2/5 (b) -4 (c) -15/2 a What is the third smallest value in 9/7, -0.1, -0.2? 9/7 Which is the biggest value? (a) -15 (b) -0.5 (c) -0.06 c Which is the third biggest value? (a) -0.1 (b) 43 (c) 1 a What is the fourth biggest value in -4, 0.9, 2, 94? -4 What is the third smallest value in -28/5, -11, 1? 1 Which is the third biggest value? (a) 2 (b) -2/7 (c) -0.02 (d) -4 (e) 5/7 c Which is
{ "pile_set_name": "DM Mathematics" }
of j? 2, 3, 13 Let o(t) = -5*t**2 + 5*t + 3498. List the prime factors of o(0). 2, 3, 11, 53 Let i(z) = 10*z**2 - 144*z - 56. List the prime factors of i(21). 2, 5, 7, 19 Let i(d) = -12*d + 10. Suppose -11 = c - 5*y, 26 = -4*c - 2*y + 4*y. What are the prime factors of i(c)? 2, 41 Suppose 257*k - 254*k = 1083. What are the prime factors of k? 19 Suppose 5*t + 106 = 2*n + 300, 5*n = 4*t - 145. List the prime factors of t. 2, 5 Suppose 4*l = c - 2*c - 20, -3*c = -3*l - 15. Suppose 3*a = -4*m + 255, c = -2*a - 2*a - 2*m + 330. List the prime factors of a. 3 Suppose -130*q - 1845 = -133*q. List the prime factors of q. 3, 5, 41 Suppose -z = -5*z - 2*h + 438, -2*h - 112 = -z. What are the prime factors of (3 + (-39)/15)*z? 2, 11 Let w(x) = 2*x**2 - 3*x - 4. Let u be w(3). Let i(b) = -13*b + 10. Let g(j) = 38*j - 33. Let r(n) = -2*g(n) - 7*i(n). What are the prime factors of r(u)? 71 Let i be 2/13 - 704/13. Let p = i + 103. List the prime factors of p. 7 Let a(x) = 0*x**2 - 6*x + 11*x + 11 + x**2. Let j be a(-4). Suppose 0 = j*s + s - 224. What are the prime factors of s? 2, 7 Let f(n) = n**2 - 3*n - 5. Let g(b) = -2*b - 8. Let h be g(-6). Let m be f(h). List the prime factors of (-21 + 3)*m/2. 3 Let a = -20 - 4. Let b be a/(-6) + 1*-102. Let z = -51 - b. List the prime factors of z. 47 Let l be -5 + 3 + -1 - (-418)/(-2). Let c = -106 - l. What are the prime factors of c? 2, 53 Suppose 15*r + 36 = 18*r. Suppose l - 72 = -r. List the prime factors of l. 2, 3, 5 Suppose t - 4*t = -213. Suppose 7*l - 42 = -14. Suppose -t - 61 = -l*k. What are the prime factors of k? 3, 11 Let w(x) = 204*x - 156. List the prime factors of w(7). 2, 3, 53 Suppose -g + 34 = -3*g. Let p = g + 7. Let d(x) = -x**3 - 11*x**2 - 13*x - 5. What are the prime factors of d(p)? 5 Let r(o) = 26*o**2 - 13*o - 5. Let x = -22 + 25. List the prime factors of r(x). 2, 5, 19 Suppose 15 = -4*r - 3*u - 277, 0 = 3*r + 2*u + 218. Let c = r - -152. What are the prime factors of c? 2, 41 Suppose 9*b = -2*b. Suppose b*v = 4*j - 2*v - 820, 3*j + 5*v = 589. What are the prime factors of j? 7, 29 Suppose -176*n + 166*n + 13640 = 0. List the prime factors of n. 2, 11, 31 Let p = 3 - -10. Let j = 16 - p. List the prime factors of (j + (15 - -2))/2. 2, 5 Let s be (40/3)/(14/21). Suppose 3*a - s = -a. List the prime factors of a. 5 Let s = 1305 + -1239. List the prime factors of s. 2, 3, 11 Suppose 4446 = 3*l - 4*f - 9376, -f = 4. List the prime factors of l. 2, 3, 13, 59 Suppose 9*p = 8*p + 4. What are the prime factors of p/10 + (-403)/15*-3? 3 Let p(o) = -o**2 + 7*o - 4. Let b be p(6). Let w(d) = 2*d**2 + 9*d - 12 - b*d**2 + d**2. What are the prime factors of w(-11)? 2, 5 Suppose -4417 = -192*t + 185*t. What are the prime factors of t? 631 Let m(t) = 39*t**3 - 6*t**2 + 17*t - 14. What are the prime factors of m(4)? 2, 3, 409 Let y(n) = -15*n + 13. Let u be y(-6). Let r = 149 - u. List the prime factors of r. 2, 23 Let b = -90 + 360. Suppose -19*w + b = -17*w. List the prime factors of w. 3, 5 Suppose l = -3*l + 16. What are the prime factors of 10/l*2982/35? 3, 71 Let o be 1*(-2)/(-2)*155. Let t = o + -67. List the prime factors of t. 2, 11 Suppose -3*z - 4 - 104 = 0. What are the prime factors of 28/z + 2/(-9) + 16? 3, 5 Let u(s) = -1. Let g(i) = 5*i + 14. Let n(d) = g(d) - 2*u(d). Let l = -73 + 79. List the prime factors of n(l). 2, 23 Let k be (-3)/(-18) - 34/(-12). Suppose 3*y = -k*w + 117, 4*y - 2*y - 83 = -3*w. What are the prime factors of y? 2, 17 What are the prime factors of ((-45)/(-4))/((-144)/(-384))? 2, 3, 5 Let h be (3 - 5/2)*18. Suppose -212 = -h*x + 1570. What are the prime factors of x? 2, 3, 11 Let f = 457 + -265. Suppose 3*d = f - 66. What are the prime factors of d? 2, 3, 7 Let c(s) = 87*s**3 - 3*s**2 + 2*s. Suppose -y - p = 1, 3*y + 4*p + 7 = 2*y. Let k be c(y). Suppose 58 = 4*x - k. What are the prime factors of x? 2, 3 Let v = 113 + -80. Suppose 3*i - 3*u + 0*u - v = 0, 0 = -2*i + u + 18. Suppose i*n - 280 = 2*n. List the prime factors of n. 2, 7 Suppose -98*l + 97*l + 2552 = 0. List the prime factors of l. 2, 11, 29 Let d(r) = 42*r**2 - 5*r - 8. What are the prime factors of d(3)? 5, 71 Suppose 2*g - 23 - 9 = 0. Suppose -4*z + 6*t - 2*t = -g, -4*z - 20 = 5*t. Suppose z = r - 12 - 2. List the prime factors of r. 2, 7 Suppose a - 136 = -5*k - 2*a, k = 5*a + 44. Let n = 25 - k. List the prime factors of n/(-12) - 22/(-6). 2 What are the prime factors of (2739/(-5))/(42/(-210))? 3, 11, 83 Let c(l) = -l**3 + 7*l**2 - 7*l + 6. Let x be c(6). Let v be (-5)/20*(x + -4). Let o = 25 - v. What are the prime factors of o? 2, 3 Suppose 2242 + 635 = 21*s. List the prime factors of s. 137 Let t(x) be the third derivative of x**5/60 - x**4/24 - x**3/6 - x**2. Let s(g) be the first derivative of t(g). List the prime factors of s(2). 3 Suppose -v + 111 = -4*c, 4*c - 3 = 3*v - 112. Let i = c - -47. Suppose 3*k + 29 + i = 3*h, 0 = -5*h - 2*k + 115. List the prime factors of h. 3, 7 Let r be ((-9)/(-36))/(2/(-8)). Let p = r + 1. Suppose p*l + l = 17. What are the prime factors of l? 17 Suppose 40 = -2*w - 0. Let b = w + 16. Let f(j) = -j**3 - 3*j**2 - 2*j - 2. List the prime factors of f(b). 2, 11 Suppose 345460 = 72*s + 126652. What are the prime factors of s? 3, 1013 Suppose 4*b - 5*b - 4*q + 10 = 0, 29 = 5*b - q. Let y(z) = 8*z + 8. List the prime factors of y(b). 2, 7 Suppose -q + 3*y = -638, -4*q + 4*y = 5*y - 2487. What are the prime factors of q? 7, 89 Let b = -28 - -30. Suppose 2*k - 10 = 0, -5*a + 5*k - b*k = -520. List the prime factors of a. 107 Let r be 1*((-4 - (-8 - -4)) + -4). List the prime factors of 2 + 6/r + 1505/10. 151 Let l = -698 + 1529. List the prime factors of l. 3, 277 Let r(h) = h + 13. Suppose 0 = -4*u + 3*f + 18, 2*f + 22 = 4*u + f. Let v be (8/u)/((-4)/(-18)). List the prime factors of r(v). 19 Let g(c) = 30*c**2 + 6*c + 1. Let j(d) = -d**3 - 2*d**2 + 2*d - 5. Let a be j(-3). List the prime factors of g(a). 109 Suppose -l + 3*t + 988 = 0, 4*t + 988 = l + 8*t. What are the prime factors of l? 2, 13, 19 Let v(t) = -3*t + 44. Let i be v(13). Suppose -5*d - 2*m = -557, 4*d - 359 = d + i*m. What are the prime factors of d? 113 Suppose -4*g + 342 - 10 = 0. Let u = 148 - g. What are the prime factors of u? 5, 13 Suppose -2*n - 3*l - 7021 = -7*n, -3*l = 5*n - 7039. What are the prime factors of n? 2, 19, 37 Let g(t) = t**2 - 7*t - 2. Let s be g(6). Let v(p) = -16*p - 24. List the prime factors of v(s). 2, 13 Let u(t) = t**3 - t**2 + 3. Let g be u(0). Let v(i) = 0*i**2 - 6*i**2 + 0*i + 5 - i**3 - 4*i - g. List the prime factors of v(-6). 2, 13 Suppose 84 = 2*q + 3*z - 187, 0 = 4*z - 20. Let h = 143 - q. What are the prime factors of h? 3, 5 Suppose 3*c + 6 = -6. Let n(x) = 2*x - 14 - 6 + 2*x**2 + 23. What are the prime factors of n(c)? 3 Suppose -23141 + 3011 = -22*n. List the prime factors of n. 3, 5, 61 Suppose 0 = -u + 2*i + 953, 4953 = 4*u - i + 1176. List the prime factors of u. 23, 41 Suppose -22*y + 29*y - 35 = 0. Let j(v) = 11*v**2 - 11*v + 4. List the prime factors of j(y). 2, 7 Suppose 11597 = 5*k - h, 5*k + 2470 - 14079 = -3*h. What are the prime factors of k? 2, 5, 29 List the prime factors of (-34 - -28) + 1328/1. 2, 661 Suppose -9*p + 3*p + 18 = 0. Suppose -p*r = -r - 30. List the prime factors of r. 3, 5 Suppose -1033 = -10*c + 2147. What are the prime factors of c? 2, 3, 53 Suppose 0 = 23*g - 18*g + 500. Let s = g - -189. What are the prime factors of s? 89 Let l = -9 + 12. Suppose 2*n + 2*n + 74 = -3*m, 0 = 5*m - l*n + 162. What are the prime factors of (-3 + m/(-2))*2? 2, 3 Let p = -414 - -738. What are the prime factors of p? 2, 3 Suppose -4*o + o = 12, -2*t + 532 = 3*o. What are the prime factors of t? 2, 17 Suppose -j - 5927 = -4*b, 8*b - 4*b = 5*j + 5939. What are the prime factors of b? 1481 Let z(g) = 20*g**2 + 14*g + 14. What are the prime factors of z(-4)? 2, 139 Let j(b) = -b**2 + 7*b - 7. Let t be j(5). Suppose 0 = -4*c + 5*a + 62, t*a + 71 = 2*c + 3*c. What are the prime factors of c? 13 Let c(p) = -p**2 - 7*p. Let b be c(-5). Let f(v) = v**3 - 10*v**2 + 2*v + 4. Let x(a) = 1. Let q(z) = f(z) + 2*x(z). What are the prime factors of q(b)? 2, 13 Let f(x) = 12 + x**2 + 5*x - 4 - 6*x - 3*x. List the prime factors of f(7). 29 Let l = 52 - 51. Let
{ "pile_set_name": "DM Mathematics" }
orm b*t**2 + n*t + j and give b. 5 Rearrange -o - o - o - o**2 + 0*o to q*o + n + r*o**2 and give n. 0 Express 25 + 47 + t - 54 + 56 as w*t + z and give z. 74 Rearrange ((4*b + 4*b - 6*b)*(3 + 0 - 5) + 8*b + 2*b - b)*(-4*b**2 + 3*b**2 - 3*b**2) to the form i*b**3 + p*b + k*b**2 + a and give i. -20 Express -3*h**4 + 24 - 43 + 2*h + 19 - 3*h**3 in the form x + j*h**3 + g*h + b*h**4 + i*h**2 and give b. -3 Rearrange 13*p**2 - 13*p + 29*p - 19*p to x + j*p**2 + a*p and give a. -3 Rearrange -5*j**2 - 26*j**3 + 7*j**3 - 13*j**2 + 11*j**2 to the form d + o*j**2 + z*j**3 + t*j and give t. 0 Rearrange (-281*p + 48*p - 397*p)*(3 - 2 - 3) - 4*p + 2*p + 6*p to z*p + g and give z. 1264 Rearrange -2*n**2 + 5*n**2 - 4*n**2 - 31*n**2 + 36*n**2 - 118*n**2 + (2 + 2 - 5)*(-n**2 + n**2 - 2*n**2) to o + f*n + r*n**2 and give r. -112 Express (3*x + 1 - 1)*(-2*x - 3*x + 4*x) + (-2*x + x + 0*x)*(-3 + 3 - x) + 3 - 3 + x**2 + 4*x**2 - 2*x**2 - 5*x**2 in the form v*x + u + d*x**2 and give d. -4 Express (-3*c + 0*c + 2*c)*(3 - 3 - 3)*(150*c - 112 + 112) as y + n*c + z*c**2 and give z. 450 Rearrange j**4 - 6*j**4 - 6*j + 3*j**2 - 5*j**2 + 4*j**4 - 2*j**3 to y*j**4 + n + w*j**3 + s*j**2 + p*j and give w. -2 Express -3 + 12*j**2 - 7*j**4 - 11*j**4 - 2*j**3 - 9*j**4 + 38*j**4 - 8*j**4 as c + a*j + i*j**4 + y*j**2 + p*j**3 and give p. -2 Rearrange (-3*b**2 + 112*b - 112*b - 1 + (-4*b + 2*b**2 + 4*b)*(-2 + 3 - 5))*(-b + 2*b - 4*b) to the form i*b + x*b**3 + g + k*b**2 and give x. 33 Express (b + b**2 - b + (b + b - b)*(-8 + 2*b + 8))*(4*b - b + 0*b)*(5 - 3*b - 5) - 25 + 3*b**4 + 25 as d*b + m*b**2 + p*b**4 + h + i*b**3 and give p. -24 Rearrange 2386*h - 2450*h + 8 - 4 + 2*h**3 to r*h**3 + d + w*h + p*h**2 and give w. -64 Express -69*g**2 - 29 - 50*g**2 + 32*g**2 + 32 - 37*g**2 as q*g**2 + i + s*g and give q. -124 Rearrange 64*x**2 + 139*x + 3 - 139*x to the form h*x + i + q*x**2 and give q. 64 Express (1 - 2 + 13 + 2*s)*(-s - 7*s + 3*s)*(s**2 + s - s) as w*s**3 + o*s**4 + q*s + t + n*s**2 and give w. -60 Rearrange (-2 + 18 + 1)*(4 - 1 - 1)*(4*o + 16 - 16) to the form i + m*o and give m. 136 Rearrange 8751*n - 4 - 8731*n - 2 to the form a + d*n and give d. 20 Rearrange (2 + 3 - 3)*(-30*k**3 + 4*k**3 - 2*k**3)*(1 + 3 + 0) to the form f*k + v*k**3 + z*k**2 + c and give v. -224 Rearrange -19*t**2 + 14*t**2 + 67*t**2 to the form d*t**2 + m*t + w and give d. 62 Rearrange -2 + 4 - 468*f**4 + 463*f**4 - 8*f**3 to the form i*f + k*f**3 + p*f**4 + t + z*f**2 and give k. -8 Rearrange i + 552*i**3 + 2*i**2 + 3*i**4 + 11 - 552*i**3 to the form s*i**3 + q*i**2 + t + j*i + x*i**4 and give j. 1 Rearrange 11*r + 2*r - 4*r + 1 - 2*r - 1 + (2 - 2 - r)*(4 - 2 - 3) + 0*r - r + 2*r - 4 + 1 + r + 4 to d + m*r and give d. 1 Rearrange 6*k - 6 - 4*k - 7 + 9*k to i + g*k and give g. 11 Express (-2*u + 0*u + 5*u)*(-3 + 3 - 4 + (3 - 2 - 2)*(5 - 5 - 3) + 2 + 1 - 5 - 5 + 0 + 1) as p*u + z and give p. -21 Express -3*l + 648 - 2*l**2 + 2*l**3 + 644 - 1290 in the form i*l**2 + w*l + q + m*l**3 and give w. -3 Rearrange -19*q + 4 - 4 + 50*q + 57*q to the form r + l*q and give l. 88 Rearrange 0*z - 59*z**2 + 133*z**2 + 90*z**2 + 6 + 0*z to the form a*z + g + w*z**2 and give w. 164 Express 25778 - 4698*q**2 - 25778 + 1639*q**2 as z*q + m + b*q**2 and give b. -3059 Rearrange (3*n - 2*n + n)*(-9*n - 5*n + 17*n)*(-1 - 2 + 2) + n**2 + n**2 + 0*n**2 to the form q + b*n + i*n**2 and give b. 0 Express 309*w**2 + 2*w**3 + 3 - 156*w**2 - 156*w**2 - 10*w**4 in the form p*w**3 + n + b*w**4 + y*w**2 + s*w and give n. 3 Rearrange (3 + 0 - 2)*(0 - 5 + 6)*(-2 + 8 - 3)*(-3 + 67*l + 4 - 3) to the form k + r*l and give k. -6 Express -128*v + 188*v + 2 - 120*v as y*v + z and give y. -60 Rearrange (-4*b + 2*b - 4*b)*(2 - 1 + 1) + 5*b + 6*b - 5*b to f*b + v and give v. 0 Express -52*v + 1 - 4*v + 11031*v**2 + 4*v**4 - 11033*v**2 + 3*v**4 - 6*v**4 as o*v**4 + f*v**2 + a*v + c + s*v**3 and give c. 1 Rearrange (4*r**2 - 3 + 0 - 5*r**2)*(9202*r - 9202*r + 56*r**2) to i*r + q*r**2 + l*r**4 + u*r**3 + a and give q. -168 Rearrange 5 + 14*y**2 + y**4 - 5*y**2 - 13*y**2 - 2*y**3 to the form r*y**4 + s*y + c + i*y**3 + u*y**2 and give c. 5 Express 617*j**3 - 616*j**3 - 11*j**2 - 2*j - 29*j**2 as z + g*j**3 + x*j**2 + n*j and give x. -40 Rearrange (-z + 0*z + 2*z)*(910*z - 217*z + 945*z - 346 + 346) to the form m + o*z + i*z**2 and give i. 1638 Rearrange (0 + 0 - 2*v)*(10*v + 1017 - 40*v + 5*v + 27*v) to the form x + d*v**2 + l*v and give d. -4 Express 157*w + 31*w - 32*w + 222*w in the form k + n*w and give n. 378 Rearrange -35*w**4 + 37*w**4 - 2*w**2 - 2 + 8*w + 4 + 0*w**2 to g*w + h*w**4 + t + b*w**3 + z*w**2 and give g. 8 Rearrange (0*d + 5*d + 3*d)*(14*d**2 - 14*d**2 - 12*d**2)*(-2*d + 0*d + 4*d) to t*d**3 + z*d + p + i*d**4 + y*d**2 and give i. -192 Rearrange (-2*j**2 - 6 + 2499*j - 1257*j - 1256*j)*(-5 + 3 + 1) to the form k*j**2 + w + s*j and give w. 6 Rearrange 20*w**2 - 47*w**3 - 53*w**3 + 99*w**3 + 3 to the form f*w**2 + l*w + q*w**3 + n and give f. 20 Rearrange (-2 + 2 + 1)*(1008 + 2*i - 2149 + 741) to p + y*i and give p. -400 Rearrange 25*c - 17*c + 11*c - 8 + 2*c + 5 to the form u + g*c and give g. 21 Express (-4*z**2 + z**2 + 2*z**2)*(-15 + 5 - 11)*(3 + 2 - 18) in the form n + s*z**2 + i*z and give s. -273 Express (-9*c - 11*c - c + 9*c)*(-9 + 22 - 7) in the form v*c + n and give v. -72 Express -2*b + 3*b + 0*b - b - b + 3*b + (3 + 0 - 2)*(-2*b + b + 5*b) - 14*b + 9*b - 14*b in the form w*b + m and give w. -13 Express -30*i + 16*i - 31*i as a*i + t and give a. -45 Rearrange -116309*b**3 - 5 + 2 - b + 5 + 116121*b**3 to q + z*b + f*b**3 + n*b**2 and give f. -188 Express (2*h - 4*h + 0*h)*(916*h**3 - 2932*h**3 - 4721 + 4721) in the form x + u*h**4 + w*h**3 + t*h + l*h**2 and give u. 4032 Rearrange (-4 + 1 + 1)*(-14 - 41 - 17)*(-p + 4*p - 4*p) to the form i + s*p and give s. -144 Rearrange 12*k**3 + 12*k**3 - 6*k**3 - 2*k**3 + 6*k**2 + 19*k**3 to u*k**3 + q*k + a*k**2 + l and give u. 35 Rearrange -462*i + 223*i - 15*i - 457*i - 128*i to the form f*i + t and give f. -839 Rearrange 486*t + 60*t - 64*t + 102*t to k*t + b and give k. 584 Rearrange (-3 + 2 + 3)*(31 - 29 - 34*r - 77*r) to the form p + z*r and give z. -222 Rearrange -21*v - 5*v + 26*v + 1572*v**2 to x + i*v + a*v**2 and give i. 0 Rearrange -u**4 + 17*u**2 + u - 24*u**2 + 24*u**3 + 9*u**2 to z*u**4 + q*u**2 + y*u + c + f*u**3 and give y. 1 Rearrange (-q**2 - 7*q**2 + q**2)*(60*q - 112*q + 65*q) to l + v*q**2 + r*q**3 + h*q and give r. -91 Rearrange 24 - 9*o**2 + 10*o**2 - 18 to w*o**2 + r*o + u and give w. 1 Rearrange 4 - 3 + 0*w**2 + 886*w - 885*w + 5*w**3 - 16*w**3 - 4*w**2 to the form i*w + b + r*w**3 + d*w**2 and give i. 1 Rearrange 55 + 5*h**2 - 2*h**2 - 114 - 2*h**2 to d + o*h**2 + m*h and give d. -59 Express -6*i + 4*i**2 + 24*i**3 - 3*i - 3*i**2 + 13*i in the form s + k*i + j*i**3 + z*i**2 and give k. 4 Express (3 - 3 + 2)*(0*u**2 - u**2 + 0*u**2) + (7*u + 0*u - 3*u)*(0*u + 11*u - 23*u) in the form m + i*u + p*u**2 and give p. -50 Rearrange 245*a**2 - 78*a**2 + 241*a**2 + a**2 to m*a + w + k*a**2 and give k. 409 Express 49*x - 1134*x**3 + 1134*x**3 - 8*x**2 + 33*x**4 - 36*x**4 - 4*x in the form r*x**3 + q*x**4 + f*x + w + t*x**2 and give t. -8 Express -461*g**3 + 227*g**3 - 3*g**4 + 232*g**3 + 22*g in the form o + s*g**2 + v*g**3 + m*g + w*g**4 and give m. 22 Express 16*z - 1 - 6 - 2 + 10 as f*z + a and give f. 16 Express 1538 + 2*q + 120*q**2 - 1538 in the form o*q + h + p*q**2 and give p. 120 Express 4*f - 2*f - 3*f + 5 + 3*f as v + j*f and give v. 5 Express -3*u**4 - 137*u**2 + u - 5*u + 139*u**2 + 14*u + 2 as q*u**2 + x*u**3 + f*u**4 + i + m*u and give m. 10 Express (1 - 2*m - 1)*((-m + m + 2*m)*(-55 + 28 + 15) - 4*m - 3*m + 2*m) as u + q*m + v*m**2 and give v. 58 Rearrange (49*z - 27*z + 88 - 20*z)*(-z + 11 + 10 - 2*z**2 - 23) to the form c*z**3 + r + b*z**2 + x*z and give x. -92 Express 192*h - 390*h + 187*h in the form m + f*h and give f. -11 Rearrange -16*n**3 + 24*n**2 - 10 - 18*n**3 + 7*n**3 + 26*n**3 to p*n**2 + h*n + g + f*n**3 and give g. -10 Rearrange ((-1 + 3*n + 1)*(1 + 0 + 0) + 0 + 2*n + 0)*(-17*n**3 - 18*n**3 + 24*n**3) to the form d*n**2 + c*n**4 + y + q*n + r*n**3 and give c. -55 Express 2*c - 16*c**3 + 4*c**3 + c**2 - 2*c**4 - c + 0 + 0 in t
{ "pile_set_name": "DM Mathematics" }
2*o + 14 = t*o. Is 6 a factor of o? False Suppose 21 = 2*z - 27. Suppose -h + z = 2*i, h - 114 = -3*h - 2*i. Does 13 divide (-2)/(1 - h/26)? True Suppose -5*o = 5*p - 371 - 14, 5*p = -15. Does 16 divide o? True Let o = -8 + 10. Let g(q) = -q**3 + 2*q**2 + q + 1. Is 2 a factor of g(o)? False Suppose 14*f + 1380 = 19*f. Is f a multiple of 23? True Let w(d) = 3*d + 0 - 6*d**2 + 0*d - 7 + 0*d**3 + d**3. Is w(6) a multiple of 4? False Suppose -83 = -4*m - 27. Is m a multiple of 3? False Let q(p) = -p**3 + 13*p**2 - 14*p - 6. Does 34 divide q(8)? False Suppose 3*i - 46 = -4. Does 2 divide i? True Let h(o) = -o**2 - 7*o + 5. Suppose c - 23 = -3. Suppose -4*f - c - 8 = 0. Is h(f) a multiple of 2? False Let c(b) = -9*b + 18. Does 16 divide c(-12)? False Let s = 216 - 114. Suppose h = 4*h + s. Let t = h - -50. Is 8 a factor of t? True Let d be 1/4 - 39/(-4). Let j = 77 - 78. Is (5 - j)/(2/d) a multiple of 15? True Let u = -2 - -6. Let k = 8 - u. Suppose -k*f + 14 = 2. Is f a multiple of 2? False Let y(h) = -2 + 2*h + 2. Let i be y(-1). Is (i/4)/((-2)/56) a multiple of 14? True Suppose 5*r + 0*r = 475. Let g = r - 41. Is g a multiple of 9? True Let n(p) = -11*p - 8. Let y be n(-8). Suppose 2*q - y = -3*q. Is 8 a factor of q? True Suppose 4*z - 476 = -0*z - 4*a, -5*z = a - 583. Is 5 a factor of 4/(-16) - z/(-16)? False Suppose 0*w = 3*w. Does 13 divide (4 + -5)*(-26 + w)? True Suppose -81 = -3*m - 0*m. Suppose -3*r + 2*d = -m, 6*r - 4*d + 1 = 5*r. Is 4 a factor of r? False Let k(i) = 2*i**2 - 5*i + 7. Let o be -2*(-3)/(-6)*-2. Suppose 0 = -o*h + 3*h - 6. Is k(h) a multiple of 17? False Let i(r) = -r**3 + 13*r**2 - 11*r - 10. Let q be i(12). Let u(j) = 2*j**2 + j - 1. Does 9 divide u(q)? True Does 11 divide (-8)/(-28)*1 + (-4308)/(-14)? True Let w = 4 - 2. Suppose 0*i = w*i - 4. Is i a multiple of 2? True Let h(d) = -1188*d. Let y(k) = 29*k. Let f(w) = 4*h(w) + 165*y(w). Let n be f(-5). Is 15 a factor of (n/(-25))/((-2)/(-10))? False Let c be 5*3/2*6. Suppose 0 = p - 4*o - 20, c = 2*p - 5*o + 17. Suppose 4*w - 148 = -p*z, -2*w + 60 = z - 9. Is 17 a factor of w? False Let p(t) = t**2 + 4*t + 4. Let y be p(-4). Suppose 2*z - 3*d - 48 = 0, 5*d = -y*z + 163 - 23. Does 9 divide -1*(z/(-2) + 2)? False Let h(t) = t**3 + 11*t**2 - 3*t - 15. Does 44 divide h(-9)? False Let d = -65 - -130. Is 11 a factor of d? False Let d(o) = o**2 - 6*o + 6. Let s be d(6). Suppose 9*z = s*z. Let x(k) = k**3 - k**2 + k + 41. Does 22 divide x(z)? False Suppose t + 15 = 3*f, -f - 2*f = 4*t + 75. Is 6/t + 7/3 a multiple of 2? True Suppose -x = -0*x - 3*s - 10, -s = -3*x + 6. Let z(o) = 32*o**2 - 2*o + 1. Is z(x) a multiple of 10? False Suppose 2*b = d + b - 94, 2*b + 482 = 5*d. Does 21 divide d? False Does 43 divide 47 - (17 - 1)/4? True Let p = 392 - 243. Is 18 a factor of p? False Let w = -12 - -7. Let m(g) = 2 - 2*g**2 + 0*g**2 + 8*g + 3 - g**3. Is m(w) a multiple of 14? False Let v be 1/7 - (-2)/(-14). Is 30/(0 - -1 - v) a multiple of 16? False Is 46 a factor of (2/4*17 - -3)*16? True Suppose -5*w + 141 = -3*v, -39 = -0*w - w - 3*v. Is w a multiple of 15? True Suppose h - 35 = -2*m + 62, 5*m + 3*h - 241 = 0. Is m a multiple of 34? False Suppose 0 = 5*v - 15 - 90. Is 10 a factor of v? False Suppose 429 = 3*u - 156. Does 39 divide u? True Suppose -4*t + t = -3. Is 8 a factor of 4/((3/18)/t)? True Suppose 3*u = 6 + 9. Does 5 divide u? True Suppose -5*w = -g, 0 = -g + w - 6*w + 10. Let c = g + 3. Does 4 divide c? True Let h = 697 + -313. Suppose -4*i - 2*n = 3*n - h, -3*i = 2*n - 281. Is i a multiple of 15? False Suppose 0 = d - 2*l + 2, 0 = -5*d + l - 5*l + 18. Suppose q + a = -56, -2*q - a - 109 = d*a. Let k = q - -88. Is 10 a factor of k? False Let r(y) = y**3 + 6*y**2 - 9*y - 9. Is r(-7) a multiple of 2? False Let k = 2 - -3. Suppose k*b - 4*b = 41. Is b a multiple of 16? False Let n(k) = -k**3 - 13*k**2 - 12*k. Let o be n(-12). Suppose 2*v + 4 - 46 = o. Is 9 a factor of v? False Let w(o) = 2*o**3 - 5*o**2 + o + 1. Let s be w(5). Let x = -86 + s. Is x a multiple of 15? True Let a be 6/(-9) - (-67)/(-3). Let d = a - -7. Is (9/(-4))/(6/d) a multiple of 5? False Let m = -8 - -21. Does 13 divide m? True Suppose 13 = 4*l - 7. Suppose 23 = 2*u - 10*f + l*f, -4*u + 5*f = -41. Is 9 a factor of u? True Let j(i) be the third derivative of i**4/4 - 4*i**3/3 + i**2. Is j(6) a multiple of 12? False Let c(k) = -6*k + 10*k - 4*k**2 + 6 + 3*k**2 + 7*k. Does 3 divide c(11)? True Is ((-27)/18)/(0 - (-1)/(-6)) a multiple of 2? False Suppose -4*g + 22 = 5*v - 42, -4*g + 5*v + 104 = 0. Does 21 divide g? True Let g = 25 - -50. Suppose 3*a - g = -0*a. Does 18 divide a? False Let x(y) = -y**2 + 11*y - 10. Is 8 a factor of x(7)? False Suppose 5*v = 0, 4*b - 2*b - 2*v = 62. Let d = b + -9. Does 6 divide d? False Let f = -102 - -63. Suppose -2 - 1 = -p, 5*n - 5*p + 295 = 0. Let v = f - n. Does 16 divide v? False Let g(o) = -o**2 + 61. Let t = 3 + -3. Is g(t) a multiple of 17? False Suppose 0 = 2*c + 2*c + 3*l - 177, 230 = 5*c + 2*l. Is 12 a factor of c? True Suppose 2*z - 38 = -0. Does 19 divide z? True Suppose -3*a = -6, 0 = 3*i + 5*a - 19 - 9. Let g = i + -15. Let t = 25 + g. Is t a multiple of 16? True Suppose 3*j + 100 = 7*j. Suppose -5*b + j = -0*b. Does 2 divide b? False Suppose -6*d = -891 + 33. Does 13 divide d? True Suppose -s + 3 = 1. Suppose j - 3*x - 16 = 0, s*x = j - 12 - 7. Is 15 a factor of j? False Suppose -7 = 4*p + 5. Suppose -3*s - 21 = -4*q, 5*s = 3*q + 4*s - 12. Let j = q - p. Does 4 divide j? False Suppose -p = -5*q + 565, 5*q = -p - 4*p + 535. Is 16 a factor of q? True Suppose -4*h - 19 = -3. Does 17 divide (-137)/(-3) + h/6? False Let a(j) = 2*j - 7. Does 4 divide a(9)? False Let u be (-1)/3 - 140/(-6). Suppose 5*h = 2*o - 42, o - u = 5*h - 2*h. Suppose 1 + o = 2*a. Is a a multiple of 4? False Suppose 0*i = 3*i - 69. Does 9 divide i? False Let k be ((-237)/6)/((-3)/6). Suppose -3*y + 0*y = 2*h - k, -5*y - 2*h + 129 = 0. Is 8 a factor of y? False Suppose 6*f + 395 = 1079. Is 19 a factor of f? True Let o be (8/10)/(2/(-5)). Let b(v) = -8*v**3 + 5*v**2 + 3*v - 7. Let k(j) = -4*j**3 + 3*j**2 + 2*j - 4. Let p(r) = 4*b(r) - 7*k(r). Is 16 a factor of p(o)? True Suppose -g + 3*s = 1 - 7, 5*g = -2*s + 30. Suppose 0 = -g*i + i + 175. Is 16 a factor of i? False Suppose 0 = -j - 4, 3*j = 5*b + 4*j - 346. Does 14 divide b? True Suppose -2*o + 10 = -n + 2*n, 0 = -5*n - 2*o + 18. Let p(s) = 16*s. Does 10 divide p(n)? False Suppose 5*u + 0*u + 3*i = -30, -u - 23 = 4*i. Let w be (-1)/(-3) - 110/u. Let v = w + -10. Is v a multiple of 11? False Let s be 1/(-3 + 0)*-9. Suppose 0 = 5*i - 42 - s. Is i a multiple of 6? False Suppose 0 = 4*o + 2*u - 692, 3*o + 3*u = 8*u + 532. Is o a multiple of 23? False Let a(m) = -m**3 - 4*m**2 + 3. Let d be a(-4). Suppose 0 = w + 1, -2*w - 3*w + 55 = d*r. Suppose -5*p = -r, -104 = -3*o - 2*p + 3*p. Does 18 divide o? True Let p(k) = 8*k + 32. Does 40 divide p(11)? True Suppose 3*o - 50 = -5*d, -3*d + 5*o - 11 = -d. Let u = d - -4. Is 11 a factor of u? True Let w = 5 - -20. Is 25 a factor of w? True Suppose 4*g = -72 + 196. Let a = 18 + g. Is a a multiple of 21? False Let n(j) = j. Let k(x) = 31*x + 2. Let w(z) = -k(z) - n(z). Is 22 a factor of w(-2)? False Suppose 10 = i + 6. Suppose 4*s - 19 + 3 = 0. Suppose i = -s*d + 12. Does 2 divide d? True Suppose -5 = u + 2*c - 3, 3*u + 4 = -5*c. Let h = 52 + 28. Suppose -2*g = 2*g - 20, -h = -3*l + u*g. Does 10 divide l? True Suppose 4*t - 240 = t. Is 20 a factor of t? True Let z = -51 + 77. Is 12 a factor of z? False Suppose 4*n = 5*l + 39, 5*l + 55 = 6*n - n. Is n a multiple of 11? False Let s = -99 - -149. Suppose 0 = f - 0*w - 4*w - 22, -5*w - 87 = -3*f. Let q = s - f. Is q a multiple of 14? False Let z = -10 + 30. Suppose 3*h - 102 = 261. Suppose 3*k + r = h, -2*r = -6*r - z. Does 21 divide k? True Let o(b) = b**3 - 3*b**2 + 1. Let u be o(2). Does 12 divide (34 - u) + 1/(-1)? True Suppose 206 - 22 = 4*a. Does 23 divide a? True Let t(g) = -g. Let j(n) = -n**3 - 3*n**2 + 7*n - 4. Let q(b) = j(b) + 5*t(b). Let o be q(-4). Suppose 0 = -m + o*m - 153. Does 17 divide m? True Let p(h) be the third derivative of -h**4/4 - h**3/6 - 3*h**2. Is 12 a factor of p(-8)? False Suppose 0 = -2*u - 2*y + 4 + 2, 3*u - 11 = -2*y. Suppose u*h
{ "pile_set_name": "DM Mathematics" }
0) + -1. 21 + 8*sqrt(19) Simplify (((-2*2*sqrt(130) + sqrt(130))*-2*-4)/(((sqrt(270) + sqrt(30))*-2)/(sqrt(3) + sqrt(24)/(sqrt(16)/sqrt(2) + sqrt(8) + sqrt(8)))))**2. 208 Simplify ((-2*(sqrt(720)*-4)/sqrt(12))/((sqrt(432) - (sqrt(432) + sqrt(432)*4 + sqrt(432) - sqrt(432))*2 - sqrt(432) - sqrt(432))*2))**2. 20/1089 Simplify (sqrt(85) + 4*(sqrt(85)*3 - sqrt(85)) + 1*sqrt(85)*-1)/(3*4*2*sqrt(180)). sqrt(17)/18 Simplify (-6*(5 + -4*-2*(sqrt(252)*-2 + sqrt(252) + sqrt(252)) + 4)*2*-1)**2. 11664 Simplify (-2*(-1*(0 + 4*(sqrt(700)*3 + sqrt(700))) + -2) + 1)**2. 3200*sqrt(7) + 716825 Simplify 2*((sqrt(76) + 1*sqrt(76) + 1 - sqrt(76))**2 - ((2*sqrt(76) + sqrt(76))*-5 + sqrt(76))) - ((2 + sqrt(76) + 4 - -4*(sqrt(76) + -1))**2 + 1). -1751 + 24*sqrt(19) Simplify 2*(-2*(-1 + 3*(sqrt(171) + 2*sqrt(171)) + 4))**2*-3. -332640 - 3888*sqrt(19) Simplify 2 + (-4 + 5 + sqrt(3)*-3 + (sqrt(27) - sqrt(432)) + 2)**2*4. -288*sqrt(3) + 1766 Simplify (1*(2 + (-4*(-3 + sqrt(200) + sqrt(200) + -2))**2*-5) + -2)*-1. -16000*sqrt(2) + 66000 Simplify sqrt(252) + sqrt(252) + 1 + sqrt(35)/(sqrt(5) + sqrt(245)) + -1 + 4 + -3*sqrt(7) + -2. 2 + 73*sqrt(7)/8 Simplify -4 + (5*sqrt(78)*2*-5*-1)/(-1*sqrt(726)*2 + 4*(sqrt(726) - (sqrt(726) + sqrt(726)*2 + sqrt(726)))). -4 - 25*sqrt(13)/77 Simplify ((sqrt(385) + 1*(sqrt(385) - -2*sqrt(385)))/(sqrt(396)*-1))/(sqrt(700)*2 + sqrt(252)*3 + sqrt(28)). -sqrt(5)/60 Simplify 1 + (((sqrt(114)*-1 + sqrt(114))*5)/(sqrt(24)/sqrt(4)*5) - 3*sqrt(228)/(-3*sqrt(432))). sqrt(19)/6 + 1 Simplify -1 + sqrt(1053) + -1 + (sqrt(26)/sqrt(2) + 5)*1 - (sqrt(117) + (sqrt(117) - (sqrt(117) + -5*sqrt(117)*2)))/((sqrt(90)/sqrt(2))/sqrt(5)). -sqrt(13) + 3 Simplify -3*(3 + ((-6*sqrt(128) - sqrt(8))*1)/(sqrt(48)/((-1*sqrt(72))/sqrt(6)))). -75*sqrt(2) - 9 Simplify -4*((-4*(0 + (sqrt(1100)*-2*3 - sqrt(1100)) + -1 + sqrt(1100) + 4 + 2) + 1)**2 + 4). -2535860 + 36480*sqrt(11) Simplify ((sqrt(72) - 6*(-1 + sqrt(72))) + 2)**2 + (-5*(sqrt(72) + 2)*6)**2. 21120*sqrt(2) + 70264 Simplify ((sqrt(6000)*-3 - 3*(sqrt(360)/sqrt(6) - sqrt(60)))/((-1*sqrt(80) - ((sqrt(240)/sqrt(4))/sqrt(12) - sqrt(5)))*-6))**2. 75/4 Simplify (-5*sqrt(720)*3 + (-2 + 2*sqrt(605) - 6*(1 + sqrt(605))))**2. 3584*sqrt(5) + 250944 Simplify -4 + ((sqrt(832) + -6*2*sqrt(832) + (sqrt(832) - (sqrt(832) - ((sqrt(832) - (sqrt(832) + 0)) + 4))))**2*3 - (1 + 5 + sqrt(832) + 0 + 5)**2). -2288*sqrt(13) + 301107 Simplify ((3*(2*sqrt(85)*2 - sqrt(85) - sqrt(85))*-2)/(-4*sqrt(405)*-2*3))**2. 17/324 Simplify (6*-5*sqrt(117)*1 + 3)**2 + ((sqrt(91) - 1*(sqrt(91) - sqrt(91)*-2)) + sqrt(91) + sqrt(91) + sqrt(91) + sqrt(91))/(sqrt(14)/(sqrt(4)/sqrt(2))). -538*sqrt(13) + 105309 Simplify ((sqrt(297) + -1*sqrt(297)*-5)/(sqrt(1584)*2 + sqrt(1584) - sqrt(1584)))/(-4*(-2*sqrt(441) - sqrt(441))*-5). -sqrt(3)/1680 Simplify -1*(-3*(-1 + sqrt(243) + 1)*-6 + (-1*(2 + sqrt(243)) - (-1 + sqrt(243))*-3))**2. -97225 + 1800*sqrt(3) Simplify sqrt(99)/(sqrt(81)*-1) + 5 - ((-1*(2 + sqrt(396)))**2 - (4 + -1 + sqrt(396) - sqrt(396))). -392 - 73*sqrt(11)/3 Simplify 0 + -3 + (-1*((sqrt(210) + 1*sqrt(210))/sqrt(10))/(sqrt(175)*2)*-3)**2. -48/25 Simplify 2*(sqrt(98) + -1) + 0 + -2 + (4 + sqrt(162) + (1 + sqrt(162) - sqrt(162)) + -4 + -1)**2. 14*sqrt(2) + 158 Simplify ((sqrt(3) + sqrt(18)/sqrt(150))**2 + (sqrt(225)/sqrt(3))**2)*-4 - ((sqrt(75) - sqrt(75)*4) + -4 + (4 + (sqrt(75) - -2*sqrt(75)))**2). -25107/25 - 105*sqrt(3) Simplify -4 + 5*(-5 + (sqrt(114) - (sqrt(114) + -1*sqrt(114) + sqrt(114)))/sqrt(6)) + (sqrt(2736) - (sqrt(2736) + (sqrt(2736)*3)**2))*-4 + 0. 98467 Simplify -3*(1*((sqrt(720) - 1*sqrt(720)) + 4) - -3*(sqrt(720) + 1)*-4)*-3. -1296*sqrt(5) - 72 Simplify ((-3*1*sqrt(88))/(sqrt(99) - -2*sqrt(99)))/(4*sqrt(32)/(1*sqrt(1152))). -sqrt(2) Simplify (1*sqrt(3328) + sqrt(52) + sqrt(52) + (sqrt(468)*-2 - sqrt(468)))/((sqrt(576) - (sqrt(576) - 1*sqrt(576))) + 5*(sqrt(16) + sqrt(4))) + 3. sqrt(13)/27 + 3 Simplify ((2*sqrt(209)*2 + sqrt(209) + (sqrt(209)*2 + sqrt(209))*-6)*-5)/((-1*sqrt(1408))/(5*sqrt(32)))*-2. 325*sqrt(19) Simplify (0 + (sqrt(1053) - -3*sqrt(1053)*-6) + 3)**2 + (1*(1*(sqrt(1053) + -1 - sqrt(1053)) - (sqrt(1053) - (sqrt(1053) - (4 + 0 + sqrt(1053))))))**2. -828*sqrt(13) + 305404 Simplify ((sqrt(304)*-2 + -3 - (-5*1*sqrt(304) - sqrt(304)) - (sqrt(304)*1 + 2 - (sqrt(304) + sqrt(304)*-1 + sqrt(304) + 0 + sqrt(304))))*-3)**2. -1800*sqrt(19) + 68625 Simplify ((0 + sqrt(432) + 2)**2*3 - (-1*sqrt(27)*1 + -1)) + 2. 147*sqrt(3) + 1311 Simplify (6*(-2*sqrt(65) - sqrt(65)) - (sqrt(65)*-3 - sqrt(65))*1)/(sqrt(10)/(2*sqrt(2))*-1*-3). -28*sqrt(13)/3 Simplify -1*(-4 + -5*-6*(sqrt(243) + (((sqrt(243) + 1 + sqrt(243) - sqrt(243)) + sqrt(243) - sqrt(243)) + -3)**2 + (3*(0 + sqrt(243)))**2)). -73016 + 810*sqrt(3) Simplify (sqrt(875) + sqrt(875) + -6*6*sqrt(875))/(-2*sqrt(720)/sqrt(9)). 85*sqrt(7)/4 Simplify ((5 + 0 + 5 + sqrt(171) + -2 + sqrt(171)*-2)**2 + -3)*-5. -1160 + 240*sqrt(19) Simplify (-4*((2 + sqrt(153) + 5 + sqrt(153) - ((0 + sqrt(153) - sqrt(153)) + 0)) + (0 + sqrt(153) + (sqrt(153) - (-3 + sqrt(153))))*2))**2. 4992*sqrt(17) + 41872 Simplify (-4*sqrt(3168)*1*3)/((-4*(sqrt(99) + sqrt(99) + (sqrt(99) - (sqrt(99) - sqrt(99)*-3))) + sqrt(99))/sqrt(9)*-3). 48*sqrt(2)/5 Simplify ((2*4*(2*sqrt(65) + sqrt(65))*-6)/(-6*(sqrt(245)*-2*-6 - sqrt(245))))**2 + 1. 13417/5929 Simplify -5 + ((0 + -3*sqrt(1584)*1 - (5 + sqrt(1584) + (-1 + sqrt(1584))**2 + -2 + -1*sqrt(1584))) + -2)*3. -4775 - 36*sqrt(11) Simplify ((sqrt(252) - 6*sqrt(252)*2)/(sqrt(144)*-1)*-6)**2 + 4. 7627 Simplify (((sqrt(2156) + 1*sqrt(2156) + 3)**2 - (2 + sqrt(2156)*1)**2) + -4)*-5 + 2. -32343 - 560*sqrt(11) Simplify (3*3*sqrt(130) + sqrt(130) + -3*sqrt(130)*-1)/(-6*-1*sqrt(640)*1). 13*sqrt(13)/48 Simplify ((sqrt(832)*-2 + -2)**2 - (sqrt(1573) + 1 + 2)**2) + (sqrt(78)/sqrt(24)*-3 - (sqrt(325) + 0 + -5)). -17*sqrt(13)/2 + 1755 Simplify (sqrt(85) + (-6*sqrt(85)*3 - sqrt(85)) - (sqrt(85) + -1*-2*sqrt(85)))/(sqrt(45)*-1 + sqrt(5)*-3*4). 7*sqrt(17)/5 Simplify (1*((2 + sqrt(432) + 1 - (-1*sqrt(432) + -3 + sqrt(432))) + ((sqrt(168) + sqrt(168)*-1)/sqrt(7))/(sqrt(8) - -6*sqrt(24)/sqrt(3))))**2. 144*sqrt(3) + 468 Simplify (((sqrt(99) + -2 + -1)*4)**2 - (5*-1*sqrt(22))/(-1*sqrt(162) + sqrt(162) - sqrt(162))) + -3. -2597*sqrt(11)/9 + 1725 Simplify -4 + (2*(-1 + 2*(-4*sqrt(1331) + -1 + -1 + (sqrt(1331) - (sqrt(1331) + 3)))))**2. 7744*sqrt(11) + 341216 Simplify (sqrt(810) - sqrt(810)*2 - sqrt(10) - 4*sqrt(20)/sqrt(2))/((sqrt(2178)*2)/(sqrt(324)*1 + sqrt(324) - sqrt(324))). -42*sqrt(5)/11 Simplify (4 + 6*(3 + (sqrt(1377) - (-1 + sqrt(1377))) - (sqrt(1377) + 3 + sqrt(1377) + sqrt(1377) + sqrt(1377))*2)*-6*5)**2. 9434880*sqrt(17) + 2855479696 Simplify -1 + (0 + (sqrt(76) + -1 + 3 - 6*sqrt(76)*2))**2*3 + -3. -264*sqrt(19) + 27596 Simplify ((sqrt(2592)*4 - sqrt(2592)) + 3*sqrt(1458))/((sqrt(144)/(-1*sqrt(8) + sqrt(8) + sqrt(8)))/((sqrt(6) + sqrt(24)/sqrt(4))/sqrt(2))). 126*sqrt(3) Simplify (3 + -5 + (-1 + sqrt(252) + 3 + sqrt(252) - (-4 + 2 + sqrt(252))) + 0)**2. 24*sqrt(7) + 256 Simplify ((-4*1*sqrt(3888) + sqrt(3888))*-3)/((sqrt(45) - (sqrt(450) - (sqrt(450) + sqrt(450)*2 - sqrt(450)))/sqrt(10))/(2*sqrt(5)*-1)). -108*sqrt(3) Simplify -1 + 3 + sqrt(605) + -2 + ((sqrt(605) + 1 - sqrt(605))*-4)**2 + (sqrt(605) - (sqrt(605) + 1 + -4 + sqrt(605)))**2. -55*sqrt(5) + 630 Simplify ((sqrt(242) + 0 + -2 + 4 + sqrt(242)*1 + (-5 + -1*sqrt(242) + sqrt(242) - (sqrt(242) + -2)*-1))*-1)**2. -330*sqrt(2) + 2203 Simplify ((sqrt(198)/(sqrt(24)/sqrt(4)) + sqrt(33))/(sqrt(9)/sqrt(3)*-5 + sqrt(3)))**2 - 6*(-5 + (sqrt(99)*1)**2 + 2). -2293/4 Simplify ((1*(sqrt(4114) - sqrt(4114)*-1) + sqrt(4114) - sqrt(4114) - (sqrt(4114) + -1*sqrt(4114))*5)/(sqrt(256)/(sqrt(288)*-1)))**2. 18513 Simplify (2*2*(5 + -5*(sqrt(80) - (-1 + sqrt(80))*3) + -1))**2. -14080*sqrt(5) + 129936 Simplify (sqrt(5100) + sqrt(5100) + sqrt(5100)*-2)/(sqrt(48)*-1) - (-3*sqrt(136)*-2)/(2*sqrt(648)). -sqrt(17)/3 Simplify (6*-2*(4*sqrt(77)*1 + sqrt(77)))/((sqrt(168)/(sqrt(4) - (sqrt(16)/sqrt(4) + sqrt(4))))/(sqrt(6) - -1*sqrt(600))). 660*sqrt(11) Simplify (-3*(1*(sqrt(25)/sqrt(80))**2 + 3) - -2*(5*5*(-1 + sqrt(405)))**2)*5. -112500*sqrt(5) + 40599205/16 Simplify -1*(4*(-2 + sqrt(720) + 3 + (sqrt(720) + sqrt(720) + sqrt(720) + -2)*-5))**2*-3. -177408*sqrt(5) +
{ "pile_set_name": "DM Mathematics" }
m). 6*m**2 Let l(j) = j. Let s(q) = 19*q**2 + q - 5. Let v(b) = 4*l(b) + s(b). Let i(u) = -161*u**2 - 42*u + 42. Calculate 5*i(f) + 42*v(f). -7*f**2 Let s(d) = 2*d**3 - 3*d - 15. Let h(z) = -z**3 + 2*z + 16. Give 3*h(i) + 2*s(i). i**3 + 18 Let h(y) = y + 1. Let w(n) = -n**2 - 2*n - 1. Let z be (8/10)/((-20)/150). Let d = z - -9. Let i be 80/(-30) + 2/d. Give i*w(v) - 4*h(v). 2*v**2 - 2 Let i(k) = 6*k**2 - 9*k - 104. Let g(h) = 2*h**2 - 3*h - 35. Determine -17*g(t) + 6*i(t). 2*t**2 - 3*t - 29 Let u(q) = -87*q - 6. Let y(z) = -43*z - 4. Determine 3*u(p) - 5*y(p). -46*p + 2 Let a(n) = 3*n + 11. Suppose -2*d + 19 = -i + 2*i, 4*d - 26 = 2*i. Let l(b) be the first derivative of -b**2/2 - 4*b - 1. Determine d*l(v) + 3*a(v). v + 1 Suppose -4*j - 8 = -2*j. Let x(t) be the first derivative of t**3 + 9*t**2/2 + 7*t - 133. Let k(w) = 2*w**2 + 5*w + 4. Give j*x(a) + 7*k(a). 2*a**2 - a Let n(j) = -155*j**3 + 4*j - 7. Let r(s) = -154*s**3 + 3*s - 6. Give 6*n(g) - 7*r(g). 148*g**3 + 3*g Let r(b) = b**2 - 6*b + 3. Let n(h) = 10*h + 115. Let d be n(-11). Let c(a) = a**2 - 9*a + 4. Give d*c(f) - 7*r(f). -2*f**2 - 3*f - 1 Let j(r) = 19389*r - 562. Let s(b) = -554*b + 16. What is -8*j(d) - 281*s(d)? 562*d Let h(b) = -3*b - 5. Let c(s) be the third derivative of s**4/4 + 11*s**3/6 + 460*s**2. Let n = 12 - 3. Determine n*h(v) + 4*c(v). -3*v - 1 Let u(v) be the first derivative of -v**3/3 + 1. Let j(c) = -12*c**2 + 2*c + 2. Suppose -13 - 14 = -3*x. Suppose 4*k + 5 = x. Determine k*j(h) - 10*u(h). -2*h**2 + 2*h + 2 Let j be 6/((-5)/60*(-1 + -3)). Let n(z) = 6*z - 2. Let d(m) = 24*m - 9. Determine j*n(g) - 4*d(g). 12*g Let n(o) = o**2 - o + 2. Let i(y) = 170*y**3 + 12*y**2 - 12*y + 26. Calculate i(w) - 12*n(w). 170*w**3 + 2 Let p(f) = 556*f**3 + 4*f**2 - 2*f + 4. Let l(u) = 557*u**3 + 6*u**2 - 3*u + 6. Calculate 2*l(b) - 3*p(b). -554*b**3 Let q(o) = -116. Let p(d) = d + 3. What is 2*p(m) + q(m)? 2*m - 110 Let j(v) = -6 - 7 + 39 - 13 - 12. Let d(g) = g. Calculate -2*d(c) + j(c). -2*c + 1 Let s(p) = -9*p + 77. Let u(m) = 16*m - 153. Give 7*s(g) + 4*u(g). g - 73 Suppose 4*d + 4*j = 47 + 1, -4*d = 5*j - 49. Let b(u) = -u + 13. Let w(k) = 3. Let g(v) = d*w(v) - 2*b(v). Let x(o) = o + 3. Give -4*g(r) + 9*x(r). r - 1 Let c(h) = -7*h**2 + h - 1. Let l(s) = 4*s**2 + 1. Let w be ((-168)/49)/(-12) + 148/(-28). Calculate w*l(f) - 3*c(f). f**2 - 3*f - 2 Let b(m) = -27*m + 24. Let g(n) be the third derivative of n**4/24 - n**3/6 - 164*n**2. Calculate 3*b(w) + 72*g(w). -9*w Suppose 24 = -0*h + 11*h - 5*h. Let v(l) = -l**2 + l - 1. Let b(s) = -7 + 3*s + 3*s + 1 - 5*s**2. Give h*v(f) - b(f). f**2 - 2*f + 2 Let a(c) = 4*c**3 - 3. Let x(h) = -3*h**3 + 4. Determine -5*a(i) - 4*x(i). -8*i**3 - 1 Let w(p) = p**2 - p. Let x(j) = -j**2 + 4*j + 2. Let i = 134 - 135. Calculate i*x(q) - 5*w(q). -4*q**2 + q - 2 Let n(i) = -6*i + 5. Suppose -48 = -8*g + 20*g. Let v(t) = -5*t + 5. Determine g*n(q) + 5*v(q). -q + 5 Suppose 4*x + z - 46 = 0, -5*x = 2*z - 7 - 52. Let v(i) = -14*i - 5. Let j(p) = -5*p - 2. Calculate x*j(w) - 4*v(w). w - 2 Suppose -3*s + 18 = -6*x + 9*x, -3*s + 11 = -4*x. Let n(b) = b - 1. Let g(j) = -10*j + 2. Calculate x*g(y) + 2*n(y). -8*y Let p(a) = -16*a - 3. Let g(v) = -5 + v + 4 - 2*v - 4*v. Give -7*g(h) + 2*p(h). 3*h + 1 Let s(l) = 14*l**2 + 17*l - 17. Let q(p) = -5*p**2 - 6*p + 6. Let o = -43 - -26. What is o*q(r) - 6*s(r)? r**2 Let w(v) = -6*v + 6. Let a(l) = 6*l + 1. Let m(q) = -4*q - 1. Let k(s) = -5*a(s) - 7*m(s). Let y = -13 - -5. What is y*k(h) + 3*w(h)? -2*h + 2 Let q(b) = -1178*b**2 + 18848*b. Let l(w) = -4*w. What is -4712*l(f) - q(f)? 1178*f**2 Let h(y) = 28*y**3 + 6*y**2 - 2*y**2 - 3*y**2 - 27*y**3. Let m(j) = 8*j**3 + 5*j**2 - 2. Suppose 0*p + p - 1 = 0. What is p*m(v) - 6*h(v)? 2*v**3 - v**2 - 2 Let s(x) = 9. Let y(f) = f**2 - 1. What is s(c) + 9*y(c)? 9*c**2 Let w(z) = -7*z. Let y(q) be the first derivative of 3*q**2 + 1. Let u be (-27 + 3)*(329/42 + -8). Give u*y(o) + 3*w(o). 3*o Let m(h) = -h**2 + h + 5. Let j(a) = 66*a**2 - 7*a - 35. Determine 6*j(s) + 42*m(s). 354*s**2 Let j(t) = 2*t**2 - 2*t. Let c(i) = -10*i**2 + 12*i - 358. Calculate c(p) + 6*j(p). 2*p**2 - 358 Let v(y) be the first derivative of -y**3/6 + 5*y**2/2 + 52*y + 16. Let m(b) be the first derivative of v(b). Let a(h) = 1 - 2 + 3. What is 5*a(n) - 2*m(n)? 2*n Let o(c) = -3668*c**3 - 56*c**2 + 56*c - 56. Let r(s) = -193*s**3 - 3*s**2 + 3*s - 3. Determine 3*o(i) - 56*r(i). -196*i**3 Let s(a) = -4*a + 3. Let h(r) = -4*r**3 - 10*r**2 + 2*r + 7. Let u(g) = g**3 + 2*g**2 - g - 1. Let x(j) = h(j) + 5*u(j). Calculate 3*s(d) - 4*x(d). -4*d**3 + 1 Let t(b) = -14*b - 1. Let y(i) = 15*i. Let a(v) = 5*v. Let l(o) = 4*a(o) - y(o). Determine 8*l(u) + 3*t(u). -2*u - 3 Let r(t) = 22*t + 7. Let v(h) = 63*h + 22. Determine 11*r(p) - 4*v(p). -10*p - 11 Let n(m) = -m**2 - m + 1. Let z(a) = -13*a**2 + 2*a + 13. What is -2*n(h) - z(h)? 15*h**2 - 15 Let f = -11 - -12. Let x(d) = -f + 3*d + 3*d**2 + 5*d**3 - 7*d**3 + 2*d + 3*d**2. Let s(v) = 2*v**3 - 7*v**2 - 6*v + 1. What is -5*s(z) - 6*x(z)? 2*z**3 - z**2 + 1 Let f(a) = 1. Let p(v) = 427*v + 5. Calculate 2*f(k) - p(k). -427*k - 3 Let z(d) = -3*d + 0*d + 4*d - d**2. Let k(u) be the first derivative of -4*u**3/3 + 3*u**2 + u - 26. Give -k(c) + 6*z(c). -2*c**2 - 1 Let q = -50 + 52. Let d(m) = -3*m**q + 3 + 4*m**2 - 1 - 4 - 2*m. Let b(n) = n**2 - 2*n - 2. Calculate 7*b(c) - 6*d(c). c**2 - 2*c - 2 Let l(w) = w - 1. Let o(d) = -37*d + 122*d - 2 - 38*d - 44*d. Calculate 8*l(y) - 3*o(y). -y - 2 Let g(y) = -5*y - 2. Let q(k) = 3*k + 1. Let j = -21 - -46. Suppose -5*w - j = -0*w. Calculate w*g(h) - 8*q(h). h + 2 Let f be 0 + ((-50)/(-5) - (-3 - -2)). Let b(o) = -91 + 91 - 8*o**2 + f*o. Let x(a) = 3*a**2 - 4*a. Give -4*b(i) - 11*x(i). -i**2 Let r(v) = 3*v**3 + 6*v**2 + 4*v - 22. Let i(y) = 9*y**3 + 17*y**2 + 11*y - 65. Calculate 4*i(d) - 11*r(d). 3*d**3 + 2*d**2 - 18 Let o(f) = -9*f**3 + 3*f**2 + f + 5. Let s(r) be the first derivative of -r**4 + r**3/3 + 2*r + 111. Calculate -2*o(y) + 5*s(y). -2*y**3 - y**2 - 2*y Let z(g) = -g**2 - 3*g + 1. Let s(r) = 176*r**3 + 11*r**2 + 165*r - 44. Let i(j) = s(j) + 44*z(j). Let c(a) = 11*a**3 - 2*a**2 + 2*a. What is -33*c(t) + 2*i(t)? -11*t**3 Let o(y) = -180*y + 18. Let h(c) = c - 5. What is 4*h(t) + o(t)? -176*t - 2 Let o(w) = -5*w**3 - w. Suppose 0*j + 216 = -4*j. Let s be ((-3)/2)/(j/(-20) + -3). Let h(r) = 6*r**3 + 2*r. Determine s*o(f) + 4*h(f). -f**3 + 3*f Let j(c) = 284*c**3 - 4*c - 5. Let q(v) = 2*v**3 + v + 1. What is j(r) + 4*q(r)? 292*r**3 - 1 Suppose -4*v + 3*v = -2. Let x(j) = 2*j - 3. Let r(d) = 6*d + d - d - 4*d + 2*d - 7. Calculate v*r(h) - 5*x(h). -2*h + 1 Let u(a) = -a**2 + a + 1. Let n(i) = 18*i**2 - 21*i - 21. Determine -3*n(b) - 63*u(b). 9*b**2 Let v(r) = -33*r - 6 + 32*r - 15*r. Let n(a) = 15*a + 5. Determine -6*n(p) - 5*v(p). -10*p Let i(y) be the third derivative of y**6/24 - y**4/4 + 7*y**3/6 - 289*y**2. Let w(g) = 2*g**3 - 3*g + 3. Determine 3*i(r) - 7*w(r). r**3 + 3*r Let x(n) = -184*n**2 + 4*n. Let b(p) = -737*p**2 + 17*p. Determine -2*b(y) + 9*x(y). -182*y**2 + 2*y Let w(p) = -824*p. Let n(v) = -2265*v. Give -9*n(t) + 25*w(t). -215*t Let v(l) = -4*l - 12. Let g(k) = -5*k - 14. Let q(h) = 3*g(h) - 4*v(h). Let i(s) = 2*s + 7. Let f(u) = -4*u + 6. Let o be f(0). What is o*i(z) - 7*q(z)? 5*z Let s(x) = 597*x - 24. Let w(i) = 299*i - 14. Give 4*s(g) - 7*w(g). 295*g + 2 Let n(j) = 2*j**3 + j**2 + 3*j + 5. Let u(y) = 2*y**3 + y**2 + 2*y + 4. Let i(d) = 9*d + 84. Let k be i(-9). Give k*u(v) - 2*n(v). 2*v**3 + v**2 + 2 Let r(v) = v**2 + 6*v + 2. Let l be r(-4). Let k be (72/54)/(2/6). Let q(y) = -4*y. Let u(s) be the second derivative of -s**3/2 - s. Give k*q(i) + l*u(i). 2*i Let h(i) = -467*i**3 - 9. Let g(d) = -126556*d**3 - 2436. Calculate 3*g(n) - 812*h(n). -464*n**3 Let n(d) = 9*d + 25. Let a = 126 + -129. Let c be n(a). Let h(p) = -8*p**2 + 9*p + 13. Let q(v) = 2*v**2 - 2*v - 3. What is c*h(l) - 9*q(l)? -2*l**2 + 1 Let r(w) = -5*w**3 - 3*w**2 - 3. Let h(a) = 6*a**3 + 30*a**2 + 10. Let y(o) = -o**3 + 2*o**2. Let m(n) = -h(n) + 10*y(n). Give -3*m(j) + 10*r(j). -2*j**3 Let u(f) = -6*f. Let b(o) = 286*o + 67. Let n(g) = 1. Let p(a) = b(a) - 2*n(a). Let v(z) = 9*z + 2. Let d(h) = 2*p(h) - 65*v(h). Give -6*d(x) + 14*u
{ "pile_set_name": "DM Mathematics" }
tiple of 83346 and 38799? 2250342 What is the common denominator of 41/280 and 149/3600? 25200 What is the common denominator of -23/2484354 and -99/8? 9937416 What is the least common multiple of 15662 and 156620? 156620 Calculate the least common multiple of 966944 and 5. 4834720 Find the common denominator of -89/4186 and 191/4368. 100464 Calculate the least common multiple of 5141 and 7. 35987 Find the common denominator of 73/509715 and -17/7050. 5097150 What is the lowest common multiple of 138504 and 20? 692520 Calculate the lowest common multiple of 9056 and 60. 135840 Calculate the common denominator of 173/750 and 163/50970. 1274250 Find the common denominator of -58/147 and 89/2674. 56154 Calculate the common denominator of -12/189407 and -99/14. 2651698 Calculate the smallest common multiple of 12180 and 5800. 121800 Calculate the least common multiple of 2068 and 156040. 1716440 What is the lowest common multiple of 6860 and 112? 27440 Calculate the common denominator of -101/11128 and -117/56. 77896 What is the lowest common multiple of 128190 and 22? 1410090 Calculate the lowest common multiple of 4365 and 27. 13095 Calculate the common denominator of -29/34030 and -71/319882. 1599410 Calculate the least common multiple of 209560 and 572. 2305160 What is the lowest common multiple of 45189 and 63? 316323 What is the common denominator of 35/3 and 49/85285? 255855 What is the common denominator of -73/105963 and -37/83486? 2755038 Find the common denominator of -95/3696 and 23/146520. 2051280 What is the least common multiple of 9430 and 1380? 56580 Find the common denominator of 145/18564 and 127/420. 92820 Calculate the lowest common multiple of 22 and 97134. 1068474 Find the common denominator of 33/602 and -3/70. 3010 Calculate the common denominator of -109/7480 and -93/176. 14960 Calculate the common denominator of -14/3 and 31/391520. 1174560 Calculate the least common multiple of 416262 and 1021734. 11239074 Calculate the common denominator of -41/2022 and -97/12. 4044 Calculate the least common multiple of 70 and 475923. 4759230 Find the common denominator of -41/716416 and -139/6948. 6447744 Calculate the lowest common multiple of 1152 and 62592. 187776 Find the common denominator of 167/3600 and -179/210. 25200 Calculate the common denominator of -1/78 and -167/5148. 5148 Calculate the lowest common multiple of 5 and 28114. 140570 Calculate the common denominator of -125/9504 and -59/4884. 351648 Calculate the smallest common multiple of 6036 and 6036. 6036 What is the smallest common multiple of 45770 and 12650? 2517350 Calculate the common denominator of -47/1274 and 5/1092. 7644 Find the common denominator of -157/100100 and -97/500500. 500500 What is the common denominator of -29/6294 and 23/15735? 31470 Calculate the least common multiple of 480 and 25248. 126240 Calculate the lowest common multiple of 105352 and 12. 316056 What is the lowest common multiple of 4608 and 2628? 336384 Calculate the lowest common multiple of 46904 and 624. 281424 Find the common denominator of -123/16030 and -1/92. 737380 What is the common denominator of 55/5684 and -109/1624? 11368 What is the smallest common multiple of 924425 and 2872? 7395400 Calculate the common denominator of -11/15029 and 31/3955. 75145 Find the common denominator of 101/4950 and -1/6084. 1673100 What is the lowest common multiple of 1242 and 65826? 65826 Find the common denominator of -75/129592 and 87/668. 129592 Find the common denominator of -33/51940 and 19/140. 51940 Calculate the common denominator of 61/12 and 121/446586. 893172 What is the lowest common multiple of 3669 and 1341? 1640043 What is the lowest common multiple of 23312 and 376? 23312 What is the smallest common multiple of 6594 and 10074? 11071326 Calculate the common denominator of -77/91678 and -79/18. 825102 What is the common denominator of -101/27240 and 167/13620? 27240 What is the smallest common multiple of 27 and 625032? 1875096 Find the common denominator of 67/24 and -111/1360. 4080 What is the lowest common multiple of 3 and 4438? 13314 What is the common denominator of 21/2375 and -137/16720? 418000 Calculate the smallest common multiple of 21 and 5399433. 37796031 Calculate the smallest common multiple of 58596 and 2508. 644556 Calculate the common denominator of -43/13995 and 17/1125820. 10132380 Calculate the common denominator of 107/87646 and -55/18. 788814 Calculate the least common multiple of 48352 and 265936. 531872 What is the smallest common multiple of 21 and 12417? 86919 Find the common denominator of -101/970 and -19/449207. 4492070 Find the common denominator of 12/583 and -35/8954. 474562 Calculate the common denominator of -37/8511 and 13/28370. 85110 Calculate the common denominator of -81/9760 and 3/3904. 19520 Find the common denominator of 59/36936 and -49/48. 73872 What is the common denominator of -35/2108 and 4/93? 6324 Find the common denominator of 89/2428 and -73/34. 41276 What is the smallest common multiple of 1912 and 48? 11472 Calculate the common denominator of -5/54 and -151/473292. 1419876 Calculate the lowest common multiple of 12 and 10134. 20268 Calculate the lowest common multiple of 248 and 42160. 42160 Calculate the smallest common multiple of 26 and 18962. 246506 What is the smallest common multiple of 9086 and 413? 9086 What is the lowest common multiple of 46215 and 1817? 1062945 Find the common denominator of 163/4500 and 62/105. 31500 Calculate the common denominator of -15/1498 and 139/7490. 7490 Calculate the lowest common multiple of 4480 and 960. 13440 Find the common denominator of 81/4 and -49/2970. 5940 Find the common denominator of -64/1873299 and -1/31. 1873299 Calculate the smallest common multiple of 490 and 182182. 910910 What is the smallest common multiple of 128 and 29860? 955520 What is the least common multiple of 24 and 222564? 445128 What is the least common multiple of 31170 and 9351? 93510 What is the lowest common multiple of 29484 and 70? 147420 Calculate the lowest common multiple of 2200 and 178860. 1788600 Calculate the least common multiple of 102050 and 780. 612300 What is the common denominator of 23/109053 and -5/6? 218106 Find the common denominator of -7/6582 and -143/26328. 26328 Calculate the lowest common multiple of 197190 and 1565. 197190 Calculate the lowest common multiple of 12600 and 57680. 2595600 Calculate the lowest common multiple of 12 and 8303. 99636 What is the smallest common multiple of 2365 and 68585? 68585 What is the common denominator of 31/14463 and -7/117? 188019 What is the lowest common multiple of 18 and 3870? 3870 Find the common denominator of 127/608580 and -37/72765. 6694380 Calculate the least common multiple of 102684 and 5572. 718788 Calculate the common denominator of -29/12 and 35/1802. 10812 What is the common denominator of 29/553 and -3/10586? 74102 Calculate the least common multiple of 82 and 3652. 149732 Calculate the smallest common multiple of 36120 and 4128. 144480 What is the common denominator of -55/128 and 81/44992? 89984 What is the common denominator of 25/35544 and 73/27? 319896 What is the lowest common multiple of 142296 and 3136? 1138368 Calculate the common denominator of 12/447601 and 75/28. 1790404 What is the least common multiple of 6448 and 181536? 2359968 Find the common denominator of 71/7092 and -5/72102. 432612 Calculate the lowest common multiple of 274050 and 630. 274050 What is the common denominator of 107/11088 and 43/27104? 243936 What is the common denominator of 61/11640 and -7/2910? 11640 What is the lowest common multiple of 55220 and 60742? 607420 Find the common denominator of -37/3072 and 121/127200. 4070400 Find the common denominator of 7/26884 and 89/10. 134420 Find the common denominator of 13/1421568 and -103/528. 15637248 What is the lowest common multiple of 3729 and 30? 37290 Calculate the common denominator of -44/1107 and -71/861. 7749 What is the lowest common multiple of 84540 and 27? 760860 Calculate the least common multiple of 1872 and 87. 54288 Calculate the least common multiple of 380 and 3040. 3040 Calculate the lowest common multiple of 22 and 343112. 343112 Calculate the least common multiple of 1
{ "pile_set_name": "DM Mathematics" }
e 6/24*3*4/1. Suppose n - 2*q - 15 = 0, z*q - 14 + 39 = 2*n. Solve -4*c + n*c + 5 = -3*p, 0 = c + 4*p + 5 for c. -5 Let y(r) = 9*r - 94. Let b be y(11). Let f(w) = -w**2 + 5*w + 2. Let u be f(b). Solve 2*x = -4*l - 2*x, -u*l + 4*x + 18 = 0 for l. 3 Let p be 6/75 + ((-5)/(-10) - 2342/(-100)). Solve 0 = -5*b - 2*y + 4*y - 15, -5*y + p = b for b. -1 Suppose 0 = a + 13 - 17. Suppose -w - 14 = 4*z + 2, -z - w - a = 0. Let v(p) = 2*p**2 + 5*p - 3. Let b be v(z). Solve 3*x = -4*r + x - 10, b = -3*r - 2*x for r. -1 Suppose 8*w = 9*w - 4*l - 10, 2*w - 26 = 5*l. Suppose 0 = 3*q + i - 36, 4*q + w*i = 22*i + 64. Solve 0 = -4*g - 5*j + q, -2*g + 3*j - 1 = -g for g. 2 Let u be 9/(-21) - 248/(-56). Suppose -14*m + u = -13*m. Solve m = -x + 3*r, -x - 2 = -4*r + 2 for x. -4 Suppose 8*y = 41*y + 33. Let h(c) = -2*c**3 + 2*c**2 + 4*c + 3. Let v be h(y). Solve v*u = -3*w + 18, 5*u + w - 14 = 8 for u. 4 Let c = 368 + -364. Suppose -10 = k - c*g, k + 2 = 5*g - 11. Suppose -2*y + 3*y = 5. Solve 20 = -2*d - 4*i + k*i, -10 = -3*d + y*i for d. -5 Suppose 0 = -k + 1, -4*d - 2*k = -5*k + 43. Let j(w) = -6*w - 2. Let o be j(d). Let q = -54 + o. Solve -3*i + 4*i + 5*l = 6, -q = -i - 3*l for i. 1 Suppose -170 = 93*z - 728. Solve -3*s - 5 = 4*j, s + 3 = 4*j - z*j for s. 1 Let b = -2 + 6. Suppose -2466 = -1292*d + 3994. Solve d = -5*m + b*p, -25 = 3*m - 0*p + 2*p for m. -5 Suppose 27 = r + k, -3*k + 51 = -3*r + 126. Let v be -24*(r/(-6) - -4). Solve v*q + l + 4 = 5*q, -q = -l + 4 for q. -2 Suppose 1896 + 1003 = 223*j. Solve -38*c + 35*c = 2*z + j, -17 = 4*z - 3*c for z. -5 Let v(f) = -f**2 - 13*f + 84. Let m be v(-16). Let o be (0 + 3)*300/m. Solve -w - 4*w + 4*g = -20, -3*w - o = 5*g for w. 0 Let l = 1 - -2. Suppose 3*z = -j + 4, -j + 8 = -4*z + l*z. Suppose -2*w - 100 = -j*w. Solve -3*c = -3*r + 4 + 2, 5*c - w = -r for r. 5 Let v(i) = -i**3 + 5*i**2 + 2*i - 7. Let z be v(5). Solve x + n = -9, 20 = -z*n + 5 for x. -4 Suppose 6*h - 73 = -19. Let y = -23 + 26. Suppose -12 = 4*x + y*k, 0*k = -5*x + k + 4. Solve -g + 5*n - 18 = x, -4*g = -h*g + n + 6 for g. 2 Let l = 160 - 163. Let o be l/9 - 10/(-3). Solve 5*y = o*x + 2*y - 27, 5*x - 4*y - 41 = 0 for x. 5 Suppose 351*i - 346*i - 560 = 0. Let y be (36/(-198) + i/(-110))*-5. Solve -k = -5*f - y, f - 3*k + 0 = -4 for f. -1 Suppose -n - 38 = -2*o, 5*n - 70 = 6*o - 9*o. Suppose 2*x - o = -8*x. Solve 3 + 1 = -2*g, -x*j = 5*g for j. 5 Suppose -4*s + k = -10, -5*s + 3*k - k = -14. Solve 2*i - 9 = i - 2*d, 2*i + 12 = s*d for i. -1 Let s be (8/(-10))/(180/(-450)). Solve 4 = s*x, -6*f + x + 8 = -11*f for f. -2 Let h be 1/14*-2 + (825/77)/5. Let n(q) = 2*q**2 - 5*q - 2. Let v be n(-3). Solve -3*p + h*b - 16 = -6*p, -5*b = 3*p - v for p. 2 Suppose 3*g = -4*q + 766, 4*q + 1271 = 5*g + 5*q. Let m = g + -251. Solve -t + 14 = -3*n - 2*t, 3*n + 24 = -m*t for n. -3 Let o = 1258 - 1254. Solve -3*g - o*c + 15 = 3, 12 = 3*g - 2*c for g. 4 Suppose 0*r - r + 11 = 0. Let v = -5 + r. Suppose i - v*i = -i. Solve 4*l - 16 = -4*u + 7*l, 2*u - 2*l - 8 = i for u. 4 Let g be 68/18 + 12/(-66) + (-600)/(-1485). Solve -d = -5*n + 3, n + 0*d - 12 = g*d for n. 0 Let z be 24/(-66) + (29/(-11) - -3). Solve -2*r = -3*o - 23, z*r = -3*o - 2*r - 7 for o. -5 Suppose z - 15 = -2*z. Suppose 169 = 2*v + 165. Suppose h = -3*p + 41, v*p - 17 - 11 = -h. Solve 3*l - p - 1 = 2*k, 0 = z*l - 20 for k. -1 Let w(y) = -y**2 + 58*y - 191. Let k be w(4). Solve -5*r = -3*a + k, 2*r = -12 + 8 for a. 5 Suppose 68*i - 115*i = -94. Solve -2 = -4*v - i*c, 4*c + 0 - 1 = -5*v for v. 1 Suppose -43*a + 78*a = 58*a. Solve 4*w - 7*m + 3*m - 8 = a, 3*w = m + 12 for w. 5 Let x = 7060 + -7047. Solve 3*m = 5*a - 17 - 12, 3*m + x = a for m. -3 Let m(k) = k**3 - 4*k**2 + 6*k - 2. Let f be m(2). Suppose l + 0 + 0 = 0. Suppose l*h = -4*h + 68. Solve 4*r = 5*y + h, r + y - f = -0*y for r. 3 Let q(s) = 2 + 6 + 5*s + 2. Let h be q(-1). Solve 3*c + o - 5*o - 12 = 0, h*c - 5*o = 20 for c. 4 Let y = 1508 - 1503. Solve -3*l = 4*c - 5, 11*l - 6*l = -y*c for l. -5 Let d be (-18 - -6)*(-9)/(-12). Let l be (6/d + 1 - 0)*0. Suppose 0 = 3*x - x - 4. Solve l*n - x*o = -5*n - 5, 5*n + 5*o + 40 = 0 for n. -3 Suppose 40 + 70 = 2*s. Suppose s*r - 52*r = 9. Solve -r*k - 5*y - 19 = -6*y, -3 = 3*k + 3*y for k. -5 Suppose 0 = -11*o + 16*o. Suppose o*f + 155 = 31*f. Solve f*k - 16 = -0*c - 3*c, 5*k - 25 = 0 for c. -3 Let o be 2*(-75)/50*67/(-3). Suppose 0 = -5*i - 3*n + 37, 4*i + o*n - 24 = 66*n. Solve 3*s - 2*j - 25 = -2*s, 0 = 2*s + i*j + 19 for s. 3 Suppose 133*h - 36654 = -16*h. Solve 2*w = 5*k - 29, k = -h*w + 248*w + 1 for w. 3 Suppose 4*i - 2 = -3*w + 1, -5*i + 5*w = 5. Suppose i = -3*l + 5*d - 9*d - 11, 0 = 2*d + 10. Solve -l = 3*a, 4*a - 10 = 3*z + 2*a for z. -4 Let w be (-260)/(-6) + (-2)/(-3). Let c = 47 - w. Suppose -2*h - 42 = -4*u, 2*u = -2*u + c*h + 37. Solve 4*s = 2*m - s + 8, 5*m + 4*s = u for m. 1 Let t(v) = v**2 + 10*v + 6. Let q be t(-9). Let y be (-3 - 1) + 1 - (q - 3). Suppose 4*b - 11 = y*b. Solve 5*w - 2*k + k - b = 0, -2*w = -4*k - 8 for w. 2 Let r be ((-1)/2)/(1/(-6)). Let h(u) = -3*u**2 + 38. Let p be h(0). Suppose p - 14 = 8*q. Solve -q*x + w = 10, 0 = 3*x + r*w + 6 for x. -3 Let o be 30/25 + (-2)/10. Let j be (2 + (-3 - -2))*o. Let l = 3 - j. Solve -l*m + 3 = m, -1 = d + 2*m for d. -3 Suppose 0*r = -5*r + 25. Let y be (154/(-42) - -3)/((-2)/6)*3. Solve y*n + 14 = 2*n - 2*u, 5*u = -r*n - 15 for n. -4 Suppose -61 = 8*c - 213. Suppose -c = -23*x + 4*x. Solve 0 = u - i + x, i + 0*i - 5 = 3*u for u. -2 Let r be 7*3/(-6)*16/(-14). Suppose -115 = -r*k + 3*l, -2*l = -k + 22 + 13. Let t = k - 15. Solve -5*q + 0 = t, 0 = u + q + 5 for u. -3 Suppose -5*g = -2*n + 7, -3*g + 10 = -3*n - 2. Let q be (2 - n)*20/44. Solve -q*l - 19 = 2*u, -2*u + 2*l + 26 = -2*l for u. 3 Let s(h) = h**3 - 9*h**2 + 13*h - 21. Let t be s(7). Let q = t + 39. Solve 3*z = -5*u - 21, -z - q = -0*z + 3*u for z. -2 Suppose 0 = -44*z - 54*z + 91*z - 336. Suppose 29 = s + 1. Let f be 2 + 4/(-14) + z/s. Solve f = 4*c - 4*p, 5*p - 15 = 3*c - c for c. 5 Let y(w) = 102*w - 100. Let a be y(1). Solve -a*r + 14*c = 10*c - 8, 2*r + 2*c = -4 for r. 0 Let q be (8/(-12))/(2/3). Let u = 1 + q. Suppose 2*w = 2*k + 4, -22*w + 17*w + 19 = -2*k. Solve -s + 5 = 4*x, s + u*x + w = x for s. -3 Suppose 148*q = 127*q + 63. Solve 2*s - q*p + 5 = -1, -5*p + 10 = 2*s for s. 0 Suppose -258*h = -252*h - 114. Let g = -5 - -10. Suppose -g*v = -h - 1. Solve 23 = y + v*k + 4, 0 = 5*y + k for y. -1 Let u be ((-10)/(-12))/(14/84) - 139. Let q = -131 - u. Solve w - q*c = -4*w + 1, 0 = 3*w - 2*c for w. 2 Let g be 2/5 - (-2124)/90 - 0. Suppose -110*a = -112*a + g. Solve 5*o = 2*q + 30, 0 = -2*o - o + a for q. -5 Let h = 65 + -63. Let q be -12*(-91)/312*(-4)/(-14). Solve a - 1 + 3 = -h*b, 0 = a - b - q for a. 0 Suppose 7 = 4*n - 1. Suppose 0 = -5*v - 25, n*t = 3*t - v - 37. Let r = t - 30. Solve -5*b + 2*q = r, 3*q - 3 = -5*b - 0 for b. 0 Let s(j) = -4*j**2 - 116*j - 541. Let g be s(-6). Solve 0 = -10*b + g*b - 4*k - 9, 3*b + 4*k = -21 for b. -3 Suppose p - 33 = -2*s - 112, -2*p + 3*s = 186. Let t = p - -87. Solve -2*i + x = 4*x, t = -4*x for i. 0 Suppose 329*s - 4143 - 463 = 0. Let f = 5 - 2. Solve 4*v - s = 2*w, -v + f = 2*v for w. -5 Let i = 1548 - 1543. Solve 3*s - 8 = 4*m + i*s, 0 = -4*s - 16 for m. 0 Let k be ((-184)/(-22))/(318/1749). Solve -s - 4 = u, k*s = -u + 50*s - 4 for u. -4 Let d(q) = -7*q - 10. Let g(v) = v**2 - 7*v + 10. Let k be g(4). Let x be d(k). Suppose -3*s = -x*s + 2. Solve s*p + 4*m = 2, 4*m + 0*m = 0 for p. 1 Let s = -27517 + 27521. Solve -4*f + 3 = o + 22, -4*o - 16 = s*f for o. 1 Suppose -14 = -4*x + 2*p, 5 = 2*x + p - 4. Let t = 17 - 15. Solve -t*y + 3*d - 5 = x*d, 4*y + 11 = -d for y. -3 Suppose 5*u = -2*k + 12, 9*k = 5*k - 16. Solve u*f = 4*d - 12, 0*d + 5*d + 21 = -4*f for d. -1 Suppose -75*z + 76*z - 4*w = 28, 3*z + 18 = -5*w. Suppose 2*p = 5*m - 56, 0*m - 13 = -m + p. Let n = m - 8. Solve 5*r - 2*r = n*i - 3, z*i + 2*r = 14 for i. 3 Let z be -3*(-3)/((-9)/4). Suppose 2*b + 45 = -x, 3*b - 4*x = -9*x - 57. Let u be (b/(-30))/(z/(-10)). Solve 5*r - 15 + 4 = u*s, 0 = 5*r + 5*s + 10 for r. 1 Let k = -4350 - -4354. Solve -d - 8 = -5*q, k*q - 2 - 2 = 2*d for q. 2 Suppose -4*d - 65*l + 70*l = -5, -4*d = -3*l - 3. Solve -2*w + 2*v + 4 = d, -7*w -
{ "pile_set_name": "DM Mathematics" }
ch is the third biggest value? (a) z (b) 6 (c) 3 a Let k = -30079 - -30081. What is the smallest value in 601, k, -1? -1 Let v = -1067/90 + 199/18. Which is the fourth biggest value? (a) -6 (b) -1/3 (c) -10 (d) v c Let f = 11 - 30. Let z = -7 - f. Let v = 65.1 + -65.1. What is the smallest value in -4/7, 4, z, v? -4/7 Let z = -213 + 212.848. Let g = 0.048 - z. What is the third biggest value in -0.3, g, 0, -4/3? -0.3 Suppose -47*l = -45*l - 20. Let o be 8/l - (-266)/(-70). Suppose 2 + 0 = b. What is the third biggest value in o, -2, b? o Let n be 31/(-124) - 6/24. What is the biggest value in n, 0.4, -339, 3? 3 Let t be ((-3)/(-9))/((-14)/294)*-2. Suppose -68 = -t*r - 40. Which is the third biggest value? (a) -1.3 (b) r (c) -2/9 a Let f be 5 + 0 - (3 + -2). Let x be (50/(-5))/(f/2). Let i = -514189/42 - -24485/2. Which is the biggest value? (a) 4 (b) i (c) -11 (d) x a Let x = -1197.4 + 1198.6. What is the fifth biggest value in 2/9, -2, x, -4, 19? -4 Let x = 2.073 - 1874.073. What is the third smallest value in 2, x, -0.2? 2 Suppose z - 3*k = 4*z - 150, -5*k = -5*z + 270. Let h = z + -49. Let s = 241/7 - 34. What is the third smallest value in h, s, -3? h Let r = -359 - -359.163. Let g = -0.063 + r. Let v = g + -0.16. Which is the smallest value? (a) v (b) -5 (c) 2 b Let v = -5947 - -5947.2. What is the fourth biggest value in 2, v, 0, 2946? 0 Let p = 574.33 + -575. Which is the second smallest value? (a) p (b) -0.5 (c) 6 (d) 4 b Let j(v) = 10*v - 139. Let r be j(18). Let i = 81/2 - r. Which is the fourth biggest value? (a) 0.4 (b) 5 (c) i (d) 0 c Let y = -0.03452 + 160.03452. Which is the fourth smallest value? (a) y (b) -3 (c) -0.3 (d) 0.4 (e) 1/3 d Let u = 0.2513 + -0.1513. Which is the biggest value? (a) -0.01 (b) -1 (c) u (d) -7 c Let b = -1535 + 1540. What is the second smallest value in 24, b, -1, 2/27? 2/27 Let w = 7430.9 + -7403. What is the third smallest value in 0, w, 20? w Let x = -62 - -62.234. Let w = 4.234 - x. What is the fourth biggest value in 0.5, w, -5, -4? -5 Let v be 245/(-70) - (12/(-8) - 1). What is the third smallest value in 0.07, -3/4, v, -27/11? -3/4 Let f be (1 + -13)*(-9)/(-405). What is the fourth biggest value in 14, 0, f, -5? -5 Let o be (35/(-10))/(2/28). Let r = o - -295/6. Which is the fourth smallest value? (a) 0.2 (b) -2/5 (c) -12 (d) r a Let q = -0.39 - -0.09. Let g = -1.3 - q. Let w = 0.13 - -0.87. Which is the biggest value? (a) w (b) 0 (c) g (d) 1/2 a Let a = -5738 + 5797. What is the second biggest value in a, -3, 0.02? 0.02 Let g(y) = 2*y**3 - 21*y**2 + 17*y + 98. Let s be g(9). What is the smallest value in s, 96, 2/5? 2/5 Let s = -0.1 - 1.9. Let r be 475/30 + -3 + (-21)/(693/(-22)). Which is the third smallest value? (a) s (b) -0.5 (c) r c Let h(d) = d**3 + 4*d**2 - 8*d + 24. Let b be h(-9). Let m = -1237/4 - b. What is the third smallest value in 5, -5, -3, m? m Let r be (-8 - -4) + 7 + -1. Suppose 136 - 134 = r*z. What is the fourth biggest value in 4/3, z, -0.5, -1? -1 Let t be 30/50 - 88/80. Which is the fourth biggest value? (a) t (b) 0.1 (c) -2 (d) 4/7 c Let r be (-3 - (-9)/(-3))*135/(-4617). What is the second biggest value in 0, 0.4, r, -3? r Let d(o) = -2*o - 10. Let r be d(-7). Let x be r/6 - (-1865)/(-2340). Let z = -1/52 - x. Which is the smallest value? (a) z (b) 3 (c) 4 a Let k = -360 + 1184. Let r = k - 824. Let m = -4 - -7. What is the biggest value in m, r, 0.3, -2/9? m Let h = -3.94 + 0.88. Let i = h - -2.56. Which is the third biggest value? (a) i (b) 3 (c) -4 (d) 2/13 a Let m = 0.67 + -3.67. Let c = -423 + 427. What is the second biggest value in 6, 2/15, c, m? c Let o = 89 - 91.4. Let g = 1.4 + o. Let j = -21 - -62/3. What is the second biggest value in -3/5, j, g, 0.4? j Let n = 27 + -149. Let z = n + 122.4. Let o = -4 - -5. Which is the biggest value? (a) o (b) -1/3 (c) 2 (d) z c Let d = -0.05 + -0.55. Let j = 11.0901 + -14.0901. Let s = 5 + -9. Which is the third biggest value? (a) j (b) d (c) s c Let z be (-1)/(-8)*54*((-828)/(-162))/23. Suppose -5 - 5 = v. Let x = v + 13. Which is the second biggest value? (a) -0.1 (b) x (c) z c Let t = -1.5 + 1.5. Let z = 0.057 + -0.145. Let n = z - 19.912. Which is the second smallest value? (a) n (b) t (c) -2/7 c Let f = 5685.2 + -5685. Which is the second biggest value? (a) -4/7 (b) f (c) -1/3 c Suppose 10*r = 15*r - 100. Suppose 4 = 2*i, -3*t - 3*i = -i - 10. Suppose t*x - 7*x = -r. What is the third smallest value in 2/15, x, -3? x Suppose 12*n + 23 = -13. Let v be (3 - n)*(210/9)/5. Suppose -p - v = -5*q, -3*q + q + 22 = -4*p. What is the second biggest value in -5, p, -0.1? p Let x be 1*7 + (1868/(-536))/((-19)/(-38)). Which is the third smallest value? (a) -5 (b) -3/4 (c) x c Let z = 0.519 - 0.5746. Let u = z + 3.0556. Which is the biggest value? (a) u (b) 1 (c) -0.04 a Let o = -19 - -17. Let j = 0.019 + 0.181. Let w = 998 + -997. What is the second biggest value in o, j, w, 23? w Let w = -668 - -667.7. Let b be ((-5)/(-15))/(2/(-18)). Let m(x) = x - 5. Let v be m(7). What is the smallest value in v, 5, b, w? b Let k = -22.4 + 39. Let l = k + -16.6. Which is the second biggest value? (a) l (b) 2 (c) -44 a Let p = -28764 - -28763.6. Which is the smallest value? (a) p (b) 15/7 (c) 39 (d) 0.1 a Suppose -268582 - 25794 = -8*v. Let w = v + -260046/7. Let h = w - -353. Which is the fourth biggest value? (a) h (b) -1/8 (c) -0.2 (d) 3 c Let m be ((-1)/(-2))/((-3)/30). Let l = 10439.1 - 10480.1. Which is the biggest value? (a) m (b) 2 (c) l b Let u = 11.8884 - 0.0284. Let r = 11.76 - u. Let s = -6 + 4. What is the third biggest value in 1/7, s, r, 0.2? r Let o = 7 + -18. Which is the second smallest value? (a) -5 (b) 0 (c) o (d) -2 a Let v = 612 - 547. Suppose -r = v - 64. Which is the smallest value? (a) -5.2 (b) -0.2 (c) r a Let s = 15452/3 - 5150. Which is the fourth biggest value? (a) 13 (b) -3 (c) -0.5 (d) s (e) 5 c Let k = 31 - 34. Let b be ((-66)/4)/11 + 70/40. Suppose -3 + 13 = -2*f. What is the second smallest value in k, b, 0.1, f? k Let y = -5343 - -5347. What is the fourth smallest value in y, 1, 7, 1.1, -1/8? y Let o = 252.4 - 252. Let b = 4.16 + -0.16. Suppose -11 = 3*z + w + 11, -18 = 5*z - 3*w. What is the fourth biggest value in 0.5, o, z, b? z Let z be (-30)/(-80) + 770/80. What is the second biggest value in 1, -6, -2, z, -0.04? 1 Let p(r) = 12*r + 51. Let o be p(-4). Let x be (-3)/(-18) + (-2)/o + 1. Which is the biggest value? (a) x (b) 6 (c) -1 b Let a = -32.6 - -302.6. Let j = 271 - a. Let y = -6.5 - -7. What is the second biggest value in j, 0.2, y, 2? j Suppose z - 103 = -2*w, 3*w = 8*w - 4*z - 290. Let l be (-3)/w*-4*1. Let q = 95/4 + -24. What is the second biggest value in q, 2/13, l, 0.4? l Let c be 0 + (0 - 2/(-8)). Let k = 772.5 - -150.5. Let o = -921 + k. What is the second smallest value in -3, 10, o, c? c Let x be 15/27*-3*(21 - 22). What is the fourth biggest value in 0.4, 4/3, x, 10? 0.4 Let a = -0.02 - 1.98. Let o = -420372 + 420371. Let m be 3/(-2)*(-4)/9. What is the third biggest value in a, m, o? a Let k = -21307 + 21310. Which is the second biggest value? (a) -5 (b) -3/136 (c) k (d) 2 d Let y be 44/(-45) + 252/(-1134). What is the third smallest value in -10, y, 5, 2? 2 Let n = -327.8 - -327.8495. What is the third smallest value in n, -4, -3? n Let c = 14316 + -14666. Let l be -3 + (-14)/(-3) + -2. What is the smallest value in -0.3, c, l? c Let w = -0.2 + -0.2. Let r be (-8 - 148)*1/(-979). Let d = -2/89 - r. What is the second biggest value in 5, d, w? d Let i = -504 + 503. Which is the third biggest value? (a) -1/23 (b) 1/5 (c) -2/5 (d) i (e) -13/4 c Let u = -2477 - -9883/4. What is the third biggest value in 0.4, 12, 4, u? 0.4 Let g = 29 + -29.11. Let k = g + 5.11. Let f be (46/(-12) - -4 - 0) + 11/6. Which is the second biggest value? (a) f (b) k (c) 6 (d) -0.2 b Let d(v) = 20*v - 9. Let h(w) = -42*w + 18. Let q(u) = 14*d(u) + 6*h(u). Let x be q(1). Which is the third smallest value? (a) 5 (b) 0.3 (c) x c Let p = 7/3 + -20/9. What is the fourth smallest value in p, 3, -3, 5.54? 5.54 Let p be 0 + 2 - 104/4. Let x be 98/p + 7/(-28) + 3. What is the second biggest valu
{ "pile_set_name": "DM Mathematics" }
-2*w**3*(w - 2)/7 Let f(t) = -5*t**4 + t**3 + 30*t**2 + 22*t + 2. Let r(o) = -51*o**4 + 9*o**3 + 300*o**2 + 219*o + 21. Let y(j) = 21*f(j) - 2*r(j). Solve y(k) = 0. -2, -1, 0, 4 Suppose -2*g + 212 = 2*u, u + 3*u - 3*g = 389. Let d = -101 + u. Determine o so that 8*o**2 + d - 61/2*o**4 + 19/2*o**3 - 30*o**5 - 2*o = 0. -1, -2/3, 0, 1/4, 2/5 Let l = 10117/5 + -2023. Find w such that -4/5*w**2 + 2/5*w**5 + 4/5*w**4 + 0*w**3 + 0 - l*w = 0. -1, 0, 1 Suppose d - 5*v = 0, d + 1 = 3*v + 3. Let u(j) be the second derivative of 3/10*j**d + 0 + 0*j**4 + 3/2*j**2 - j**3 - 1/10*j**6 - 6*j. Factor u(c). -3*(c - 1)**3*(c + 1) Let n(t) be the third derivative of -t**7/105 - 3*t**6/20 - 4*t**5/15 + 11*t**2 + 1. Let n(f) = 0. Calculate f. -8, -1, 0 Let f(g) be the third derivative of 1/40*g**6 + 0*g**3 + 1/48*g**4 + 0*g + 1/30*g**5 + 1/672*g**8 + 1/105*g**7 + 10*g**2 + 0. Let f(z) = 0. Calculate z. -1, 0 Find k such that -16/3 + 4/9*k - 16/9*k**3 + 34/9*k**2 + 2/9*k**4 = 0. -1, 2, 3, 4 Let d(w) be the first derivative of -w**4/18 + 4*w**3/9 + 7*w**2/9 + 116. Factor d(m). -2*m*(m - 7)*(m + 1)/9 Suppose 3*b - 3 = 6. Let a(c) = -c**3 + 33*c**2 + 154*c - 222. Let m be a(37). Solve 3*j + m - 3/2*j**2 - 3/2*j**b = 0 for j. -2, 0, 1 Let g(y) be the second derivative of 0 - 1/12*y**4 - 9*y + 2/3*y**3 - 2*y**2. Solve g(j) = 0 for j. 2 Let z(l) be the third derivative of -2/105*l**7 + 1/3*l**4 + 0*l**3 + 25*l**2 + 1/15*l**5 - 1/15*l**6 + 0*l + 0. Factor z(q). -4*q*(q - 1)*(q + 1)*(q + 2) Suppose w = 3*w - 40. Let t be (-9)/((-36)/(-16)) + w. Solve 2*y**4 + t + y**5 - 4*y**2 + y - 7 - 2*y**3 - 7 + 0*y = 0 for y. -2, -1, 1 Let t(f) be the second derivative of f**6/60 + f**5/8 - f**4/8 - 13*f**3/12 + 5*f**2/2 - 16*f. Factor t(w). (w - 1)**2*(w + 2)*(w + 5)/2 Let q(n) = -n**3 + 8*n**2 - 7*n + 2. Let o be q(7). Factor 12*x**2 + 200*x**4 - 2*x**o - 80*x**5 + 36*x**3 - 121*x**3. -5*x**2*(x - 2)*(4*x - 1)**2 Let x(i) = 7*i**2 + 54*i + 44. Let n(s) = 5*s**2 + 54*s + 43. Let f(d) = 4*n(d) - 5*x(d). Factor f(y). -3*(y + 2)*(5*y + 8) Let j(b) be the third derivative of 0*b**4 + 1/80*b**6 + 0*b**3 + 0 - 1/140*b**7 + 0*b**5 - 14*b**2 + 0*b. Find f, given that j(f) = 0. 0, 1 Find j such that 2/3*j**4 + 0*j**2 + 0 - 5/6*j**3 + 0*j = 0. 0, 5/4 Let 49/4*i**2 - 23/4*i**3 - 3 - 17/4*i + 3/4*i**4 = 0. What is i? -1/3, 1, 3, 4 Suppose -2*u + 0 + 14 = 2*r, 3*r = 2*u + 6. Find m, given that -4/5*m**2 + 2/5*m**r + 0 - 2/5*m**3 + 0*m = 0. -1, 0, 2 Let f(c) = -4*c + 0 + 3 - 5 + 6. Let n be f(-4). Let 29*z**2 + 2 + 12*z - n*z**2 + 1 = 0. What is z? -1, -1/3 Suppose -2*u**4 - 8*u**4 + 2*u**3 + 34*u**2 - 14*u + 6*u + 8*u - 2*u**5 - 24*u = 0. Calculate u. -4, -3, 0, 1 Factor -1/2*s**2 + s + 2 - 1/4*s**3. -(s - 2)*(s + 2)**2/4 Let u(p) be the first derivative of -2/15*p**3 - 32/5*p - 8/5*p**2 + 4. Let u(h) = 0. What is h? -4 Let h(q) be the third derivative of -q**9/12096 + q**7/1008 - q**5/15 - 11*q**2. Let x(m) be the third derivative of h(m). Factor x(a). -5*a*(a - 1)*(a + 1) Let m(j) be the second derivative of j**6/180 - j**5/10 + 3*j**4/4 - 2*j**3 + 3*j. Let z(h) be the second derivative of m(h). Solve z(f) = 0. 3 Let j be (140/(-343))/(((-182)/147)/13). Factor 9/7*r**3 + j*r**2 - 24/7 + 12/7*r. 3*(r + 2)**2*(3*r - 2)/7 Let p be (-1576)/(-985) - (-8)/10*8/16. Solve -14/5*t**3 + 54/5*t**p - 48/5*t - 8/5 = 0. -1/7, 2 Let i(h) be the first derivative of -h**5/12 + 15*h**4/8 + 13*h**2 - 41. Let w(m) be the second derivative of i(m). What is x in w(x) = 0? 0, 9 Let j(x) be the second derivative of 5*x**4/12 - 5*x**3 - 135*x**2/2 - 10*x + 4. Let j(q) = 0. What is q? -3, 9 Let z(v) be the second derivative of -v**8/1680 + v**7/210 - v**6/90 + 11*v**4/4 - 33*v. Let s(r) be the third derivative of z(r). Find h, given that s(h) = 0. 0, 1, 2 Let r be 12/5*(-1375)/(-1210). Factor 4/11*t - 2/11 + r*t**2. 2*(3*t + 1)*(5*t - 1)/11 Suppose 24*u = -33*u + 228. Suppose 1/3 + 2/3*m**3 + m**u - 4/3*m**2 - 2/3*m**5 + 0*m = 0. What is m? -1, -1/2, 1 Suppose 7*z - 174 = z. Suppose z - 13 = 2*l. Factor 30*o**3 - 18*o**2 - 6*o**4 + 6*o**5 - l*o**4 - 4*o**5. 2*o**2*(o - 3)**2*(o - 1) Let s(v) be the first derivative of v**5/120 - v**3/3 - 5*v**2/2 + 3. Let p(g) be the second derivative of s(g). Determine z, given that p(z) = 0. -2, 2 Let f(x) = -x**3 + 8*x**2 - 8*x + 17. Let i be f(7). Solve -6 + 5*c - 4 + i*c - 5*c**2 = 0 for c. 1, 2 Let f(n) be the second derivative of n**6/225 - 2*n**5/75 + n**4/45 + 4*n**3/45 - n**2/5 + n - 3. Solve f(g) = 0 for g. -1, 1, 3 Let c(q) = 2*q**2 + 56*q - 3838. Let i be c(32). Factor -14/5 + 16/5*o - 2/5*o**i. -2*(o - 7)*(o - 1)/5 Let 3607 + 13883 + 534*r + 1306 + 3*r**2 + 4438 + 529 = 0. What is r? -89 Let v(d) be the third derivative of 0*d - d**2 + 0 + 5/24*d**4 + 1/60*d**5 + 2/3*d**3. Factor v(b). (b + 1)*(b + 4) Suppose -3*h + 7 = -3*v - 8, -2*v + h - 5 = 0. Let l be v/4 - 4/(-9). Factor 0*z**4 + 4/9 + 2/9*z**5 - l*z**2 - 8/9*z**3 + 2/3*z. 2*(z - 2)*(z - 1)*(z + 1)**3/9 Let d(x) be the first derivative of -1/8*x**3 + 3 + 1/16*x**4 + 0*x**2 - 8*x. Let k(s) be the first derivative of d(s). Factor k(n). 3*n*(n - 1)/4 Let a(q) be the second derivative of 0*q**2 - 1/5*q**5 - 9*q - 4/3*q**4 + 10/3*q**3 + 0. Suppose a(w) = 0. Calculate w. -5, 0, 1 Let t(x) be the first derivative of -3 + 25/2*x**2 - 5/3*x**3 + 0*x. Factor t(u). -5*u*(u - 5) Suppose 2*i - 14 = -4. Suppose i*x + z = 21, 5*x = -2*z - 10 + 27. Find n, given that -3*n**3 - 8*n**2 + 8*n**4 + 2*n**3 + n**3 - 4*n + 4*n**x = 0. -1, 0, 1 What is w in -15 + 5*w**3 - 95/3*w**2 + 55*w = 0? 1/3, 3 Let i be 0*(-6)/36*2/(-4). Let c(n) = -n**3 - n**2 + n + 3. Let o be c(0). Factor -3*g**2 - 2*g + 11*g + i*g**2 - 3*g**2 + g**o. g*(g - 3)**2 Let m(r) be the second derivative of -r**7/630 + r**6/90 - 9*r**2 + 27*r. Let u(g) be the first derivative of m(g). Factor u(a). -a**3*(a - 4)/3 Let a(v) = -v**3 + v**2 + v. Let o(z) = -2*z + 5. Let p be o(2). Let q(j) = 46*j**3 + 74*j**2 + 18*j - 12. Let l(i) = p*q(i) + 2*a(i). Factor l(f). 4*(f + 1)**2*(11*f - 3) Factor -10/3*i + 2 + 2/3*i**3 + 2/3*i**2. 2*(i - 1)**2*(i + 3)/3 Let o = -60 + 44. Let u be (2/14)/(o/(-96)). Factor -4/7 - 2/7*m**2 - u*m. -2*(m + 1)*(m + 2)/7 Let u be (2 - -2)*(3 - 2). Suppose g + 4 - 14 = -u*a, -5*g = 3*a - 16. Factor 3*h**5 - 7*h**5 + 4*h - 8*h**g + 7*h**4 + h**4 + 0*h**4. -4*h*(h - 1)**3*(h + 1) Let c = -63 + 66. Let w(j) be the first derivative of -2/3*j**c + j**4 - j**2 + 0*j + 5. Factor w(u). 2*u*(u - 1)*(2*u + 1) Let n(j) = j**5 - 2*j**4 + j**2 - j - 1. Let y(m) = -52*m**5 - 265*m**4 + 354*m**3 - 139*m**2 + 16*m - 2. Let u(k) = -2*n(k) + y(k). Let u(r) = 0. Calculate r. -6, 0, 1/3, 1/2 Suppose 4*d = -z + 16, 9*z - d = 6*z + 9. Let k = 327/2 + -159. What is q in 3/2*q**5 + 3/2*q**2 - 3/2*q**z - k*q**3 + 3*q + 0 = 0? -1, 0, 1, 2 Let h(n) = n**4 - 2*n**3 + 1. Let r(k) = 5*k**5 - 38*k**4 - 89*k**3 + 1020*k**2 - 900*k + 2. Let w(a) = -2*h(a) + r(a). Factor w(m). 5*m*(m - 6)**2*(m - 1)*(m + 5) Let l(g) be the first derivative of -g**3/7 + 183*g**2/7 - 11163*g/7 - 16. Factor l(m). -3*(m - 61)**2/7 Let f(k) = -k**3 + 6*k**2 + 7*k + 8. Let m be f(7). Let x(w) = 4*w - 28. Let s be x(m). Let -21/2*t**3 + 12*t**2 - 49/2*t**s + 0 - 2*t = 0. What is t? -1, 0, 2/7 Suppose -4*l = 4*k, -l - 6 = -k - k. Solve 0*o**3 - 3*o**3 + o**4 + 9*o**3 + 9*o**k = 0 for o. -3, 0 Let c(b) = -24*b**2 - 232*b - 340. Let m(f) = 5*f**2 + 47*f + 68. Let u(s) = -3*c(s) - 14*m(s). Solve u(l) = 0. -17, -2 Let y(w) be the first derivative of -2*w**2 + 31 - 8/5*w**5 + 2/3*w**6 + 0*w + 0*w**4 + 8/3*w**3. Factor y(q). 4*q*(q - 1)**3*(q + 1) Let t be 3 + 1 + 186/54 + -7. Let u(n) be the third derivative of 0*n - 1/6*n**4 - 4*n**2 + 0 - 1/45*n**5 - t*n**3. What is a in u(a) = 0? -2, -1 Factor 7*h + 4*h**2 + 1/3*h**3 - 98/3. (h - 2)*(h + 7)**2/3 Let x(u) = 11*u**2 - 92*u - 100. Let q(b) = 35*b**2 - 275*b - 300. Let f(p) = -3*q(p) + 10*x(p). Factor f(l). 5*(l - 20)*(l + 1) Let c(l) = l**2 + 4*l - 19. Let k be c(-7). Solve 38*p**2 - 75*p**2 - 2*p**4 + 39*p**k = 0 for p. -1, 0, 1 Suppose -6*r + 27 - 3 = 0. Factor p**5 - 2*p**r + 16*p**2 - 6 - p - 8*p**3 + 17*p - 26. (p - 2)**3*(p + 2)**2 Suppose -2*b + 2*f + 2*f = 0, 0 = -3*f + 9. Let k be (1 - 1)/2 - (b - 10). Factor -12/5*z**3 + 0 - 3/5*z**k - 3*z**2 - 6/5*z. -3
{ "pile_set_name": "DM Mathematics" }
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True Is 4735487 a composite number? True Is 23450569 composite? True Is 675557 a prime number? False Is 5045407 composite? False Is 1330361 a composite number? True Is 40541689 a prime number? True Is 60432371 a prime number? True Is 42356383 prime? True Is 2445629 a composite number? False Is 495017 a prime number? True Is 5183641 prime? True Is 62775763 prime? False Is 298897 composite? False Is 184215709 a composite number? True Is 1572742 a prime number? False Is 22201591 prime? False Is 13160291 a composite number? False Is 1830553 a prime number? False Is 172784827 composite? False Is 323864113 composite? False Is 4419851 a prime number? True Is 51692917 composite? False Is 1213778477 prime? True Is 169402297 a composite number? True Is 19880823 prime? False Is 3235961 a prime number? True Is 4016339 composite? False Is 103873501 a prime number? False Is 1410781 prime? True Is 9103639 a prime number? False Is 184301779 prime? True Is 269576702 a composite number? 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False Is 3082441 a composite number? False Is 3842191 a composite number? True Is 114937 prime? False Is 10239979 a prime number? False Is 2765999 composite? True Is 646859 prime? True Is 804179 a composite number? False Is 6019719 composite? True Is 1661321 a composite number? True Is 7372207 prime? False Is 17417203 composite? False Is 14011243 composite? True Is 14419153 a prime number? False Is 202583 composite? True Is 614827 composite? False Is 9608405 prime? False Is 1014730529 composite? False Is 38088169 composite? True Is 2601829 composite? True Is 7346201 a prime number? True Is 245137847 a prime number? True Is 152693479 composite? False Is 310458293 a composite number? False Is 9215435 composite? True Is 262861661 prime? True Is 36697847 a prime number? False Is 6270701 a composite number? False Is 91343743 a prime number? False Is 130027763 prime? False Is 6602665 a composite number? True Is 2779246 a composite number? True Is 355146931 composite? False Is 15415079 a composite number? False Is 25782683 prime? True Is 244795423 a prime number? True Is 93329323 composite? False Is 85675391 a composite number? True Is 6133731 prime? False Is 46966627 a prime number? True Is 9743267 a composite number? False Is 38131363 a composite number? False Is 12421007 composite? False Is 22978833 a prime number? False Is 315915547 a prime number? False Is 10112831 composite? False Is 38041637 composite? True Is 6328487 a composite number? True Is 17416331 composite? True Is 1443193 prime? True Is 477619547 a composite number? True Is 270299 a prime number? True Is 5726317 prime? False Is 4446742 a composite number? True Is 21065249 composite? True Is 95673593 a composite number? True Is 8000549 composite? True Is 161713663 a prime number? False Is 70290281 a composite number? False Is 13094909 a prime number? True Is 3548761 a prime number? False Is 101021015 composite? True Is 75600509 a prime number? False Is 1375457 composite? False Is 2620223 a composite number? False Is 17128547 composite? False Is 6949153 prime? False Is 17407583 composite? True Is 356089 composite? True Is 130784293 a composite number? True Is 15300073 a composite number? True Is 1450238047 a composite number? False Is 90999191 a composite number? True Is 556909543 c
{ "pile_set_name": "DM Mathematics" }
e z(t(m)). -13*m**2 + 2 Let b(l) = -2*l + 25. Let j(g) = 17*g**2 - 255*g - 170. Let y(o) = o**2 - 18*o - 12. Let a(z) = -6*j(z) + 85*y(z). Give b(a(d)). 34*d**2 + 25 Let d(o) = 34*o + 486. Let h(p) = -24332*p. Determine d(h(t)). -827288*t + 486 Let k(v) = 2*v**2. Let y(j) be the third derivative of 909*j**5/20 - 3432*j**2. Give k(y(t)). 14873058*t**4 Let g(j) = -602768*j + 2. Let t(r) = -2*r. Determine g(t(m)). 1205536*m + 2 Let r(q) = 3861*q + 2376. Let j(v) = -5*v - 3. Let d(g) = -2376*j(g) - 3*r(g). Let l(c) = -4*c. Give d(l(w)). -1188*w Let z(h) be the third derivative of -5*h**6/48 + 47*h**4/24 + 199*h**2 + 1. Let q(l) be the second derivative of z(l). Let p(c) = 2*c. Give q(p(k)). -150*k Let g(u) = -u**2 - 1004384*u + 2. Let l(j) = 2*j. Give l(g(s)). -2*s**2 - 2008768*s + 4 Suppose -3*q + i = 7 - 47, -i = -q + 16. Suppose 25 = 2*f + 1. Let p(h) = f*h + q*h - 26*h. Let w(m) = -26*m**2. Determine p(w(c)). 52*c**2 Let w(c) = -8423*c**2. Let z(d) be the first derivative of -d**3/3 - 1997. Calculate w(z(k)). -8423*k**4 Let f(i) = -101*i + 90. Let q(w) = -28*w + 25. Let g(m) = -5*f(m) + 18*q(m). Let v(x) = -125*x. Determine g(v(n)). -125*n Let r(d) = -2*d**2. Let v(c) = 5550241*c**2. Calculate v(r(k)). 22200964*k**4 Let l(b) = -2*b. Let o(i) = 15782*i**2 + 551. Determine o(l(u)). 63128*u**2 + 551 Let o(d) = 2*d. Let i(h) = -178241812*h**2 + h. Give o(i(l)). -356483624*l**2 + 2*l Let k(n) be the second derivative of -n**4/6 + 2930*n. Let y(a) = -88*a**2. Give k(y(d)). -15488*d**4 Let t(h) = 128*h + 140*h + 159*h - 426*h. Let p(x) be the third derivative of 1/8*x**4 + 0*x - x**2 + 0 + 0*x**3. Give p(t(f)). 3*f Let g(s) = 4*s - 120. Let m be g(31). Let r(p) = -13*p + 58. Let z(f) = -29*f + 117. Let u(c) = m*z(c) - 9*r(c). Let l(y) = -3*y. Calculate u(l(j)). -3*j - 54 Let l(y) = 2383*y. Let f(o) = 5*o - 42. Let i(c) = 6*c - 56. Let x(r) = -4*f(r) + 3*i(r). Give l(x(h)). -4766*h Let y(l) = -l + 134. Let w(c) = -68*c**2 + 146. Determine y(w(b)). 68*b**2 - 12 Let b be (-3)/(2/(2*-1)). Let n(f) = -f**3 - f**2 + 107*f + 33. Let s be n(10). Let c(z) = -z**2 + s*z + 7*z**2 - b*z. Let a(y) = -5*y. Give c(a(x)). 150*x**2 Let t(s) be the second derivative of -2*s**3/3 + 30*s**2 + 33*s + 8. Let w(m) = -3*m**2. What is w(t(g))? -48*g**2 + 1440*g - 10800 Let r(h) = 4*h**2 + 35593711. Let v(f) = 2*f. Give v(r(o)). 8*o**2 + 71187422 Let p(h) = -h - 301. Let m(d) = -4*d**2. Let n(c) = 18*c**2. Let j(a) = -4*m(a) - n(a). Determine p(j(t)). 2*t**2 - 301 Let y(a) = 58*a**2 - 8*a. Let v(g) = -12*g + 285. Give v(y(t)). -696*t**2 + 96*t + 285 Let w(i) = i. Let j be 63/24 - (-6)/16. Let z(u) = 5*u**2 - 129*u + 6. Let q(l) = 6*l**2 - 128*l + 8. Let n(m) = j*q(m) - 4*z(m). Determine w(n(o)). -2*o**2 + 132*o Let q(i) be the second derivative of -i**3 + 27038*i. Let g(k) be the first derivative of 1 + 17/3*k**3 + 0*k**2 + 0*k. Calculate q(g(a)). -102*a**2 Let g(j) = 2*j - 6. Let x be g(4). Let f(i) = -8*i**2 + 10*i**x + 12*i**2. Let a(z) = -1525*z + 4421*z - 1448*z - 1452*z. Calculate f(a(d)). 224*d**2 Let c(q) = -68*q. Let v(n) = 2*n**2 + 3611312*n. What is v(c(y))? 9248*y**2 - 245569216*y Let b(a) = -690*a**2. Let c(q) = 47287*q**2. What is b(c(h))? -1542881654610*h**4 Let k(g) = -9*g**2 + 8*g + 4. Let s(f) = -149*f**2 - 2*f + 77*f**2 + 74*f**2 - 1. Let d(a) = -k(a) - 4*s(a). Let w(t) = 19*t. Give w(d(p)). 19*p**2 Let o(t) = -2*t**2 + 4870. Let r(i) = -17*i. Give o(r(m)). -578*m**2 + 4870 Let t(x) = -3191774*x**2. Let n(z) = 42*z. Calculate n(t(d)). -134054508*d**2 Let i(r) = 5*r**2 - 8*r - 68. Let a(m) = -m**2 + 2*m + 17. Let v(w) = -12*a(w) - 3*i(w). Let h(d) = 2*d**2 - 359. What is v(h(y))? -12*y**4 + 4308*y**2 - 386643 Let n(m) be the second derivative of 0*m**2 + 1/3*m**3 + 16*m - 3. Let w(f) = 61*f**2 + 2*f. Calculate n(w(j)). 122*j**2 + 4*j Let r(u) = -u. Let y(v) = 597443913*v. Determine y(r(n)). -597443913*n Let t(a) = 2*a - 147. Let q(s) = 63*s + 1065. Let v(m) = 18*m + 296. Let g(z) = -5*q(z) + 18*v(z). Calculate t(g(h)). 18*h - 141 Let x(q) = -7*q. Let h(i) = i**2 + 4*i + 3. Let t(s) = -17*s**2 + 12*s + 10. Let k(f) = -3*h(f) + t(f). Give k(x(p)). -980*p**2 + 1 Let y(w) = -350*w**2 - 15*w - 5. Let r(f) = -1049*f**2 - 40*f - 14. Let u(h) = -3*r(h) + 8*y(h). Let j(d) = 4*d. Calculate u(j(s)). 5552*s**2 + 2 Let t(a) = 239*a + 3. Let n(o) = -o - 1. Let w(k) = 3*n(k) + t(k). Let s(m) = -3*m**2. What is s(w(x))? -167088*x**2 Let d(b) = -110*b - 25. Let r(p) = -p + 49. Give r(d(u)). 110*u + 74 Let w(h) be the second derivative of -3*h**3/2 + 2*h. Let r(q) be the second derivative of -q + 1/2*q**3 + 0*q**2 - 11. Give w(r(t)). -27*t Let k(n) = 140*n**2 + 8*n - 2. Let w(x) = 962*x**2. Calculate k(w(t)). 129562160*t**4 + 7696*t**2 - 2 Let v(n) = -n + 18*n - 3*n. Let r(g) = -209 + 209 + 17*g - 9*g. What is r(v(k))? 112*k Let c = 45 - 33. Suppose 6 - c = -3*i. Let x(k) = -83*k**2 - 82*k**2 + 167*k**i. Let l(w) = 19*w**2. Give l(x(r)). 76*r**4 Let u(n) = 24*n**2 - 50*n**2 + 13*n**2 + 6*n**2 + 14*n**2. Let h(r) = -51*r. Calculate u(h(a)). 18207*a**2 Let m(u) = -10*u + 7. Let k(b) = -7*b - 82. Let f(g) = -266*g - 3157. Let t(i) = 4*f(i) - 154*k(i). Calculate t(m(h)). -140*h + 98 Suppose -51*j = -55*j + 60. Let x(m) = j*m**2 - 7*m**2 - 4*m**2. Let b(n) = -5*n - 4. Let v(d) = -9*d - 7. Let w(r) = -7*b(r) + 4*v(r). Calculate w(x(q)). -4*q**2 Let n(s) = -294*s. Let v(g) = 22 + 25 + 27 - 74 + g. What is n(v(r))? -294*r Let c(z) be the first derivative of z**3/3 + 89723. Let r(k) be the third derivative of 37*k**5/60 - k**2. Determine c(r(h)). 1369*h**4 Let w(b) = 5*b**2. Let o(u) be the first derivative of -9 + 0*u - 5/3*u**3 - 3/2*u**2. Let x(k) = 6*k**2 + 4*k. Let h(m) = -4*o(m) - 3*x(m). Calculate h(w(q)). 50*q**4 Let m(u) = -246442 + 263*u + 246443 + 117*u. Let t(n) = n**2. Give t(m(q)). 144400*q**2 + 760*q + 1 Let i(s) = 31*s + 34*s + 38*s - 120*s + 27*s. Let x(a) = -2*a + 62. Determine i(x(f)). -20*f + 620 Let v(t) = 105974*t**2 - 16*t - 105994*t**2 - 2 + 4. Let i(f) = f. Calculate i(v(n)). -20*n**2 - 16*n + 2 Let p(a) = -104374*a. Let j(d) = -2*d + 3. Determine p(j(f)). 208748*f - 313122 Let h(u) = -24*u + 24*u + 81*u**2 - 83*u**2. Let q(r) = -r**2 - 13. Calculate q(h(c)). -4*c**4 - 13 Let m = 79 + -75. Let v(g) = m*g**2 + 59*g + 4*g**2 + 66*g - 125*g. Let n(y) = -12*y**2. Calculate v(n(a)). 1152*a**4 Let n(m) be the first derivative of m**2/2 + 10. Let k(u) = -15 - 6660*u + 15 + 6704*u. What is k(n(x))? 44*x Let n(h) = -43*h**2. Let f(o) = -13*o + 9. Suppose -8 = -4*d, 7*i - 2*d + 228 = 11*i. Let b(s) = 245*s - 168. Let w(y) = i*f(y) + 3*b(y). Determine n(w(r)). -2107*r**2 Let r(n) = -22369*n. Let u(h) = 1048*h. Calculate u(r(s)). -23442712*s Let q(a) be the first derivative of -a**3 + 1276. Let y(u) = 15*u + 22. Calculate q(y(s)). -675*s**2 - 1980*s - 1452 Let d(i) = -85*i. Let l(w) = -134308*w**2. Give l(d(q)). -970375300*q**2 Let h(c) be the third derivative of -c**4/3 + 62*c**2. Let j(q) = 3*q**2 + 22*q. Give h(j(n)). -24*n**2 - 176*n Let c(o) = 809*o. Let y(f) be the second derivative of -5*f**4/6 - 3049*f. Determine c(y(u)). -8090*u**2 Let x(q) = -q**2 + 11*q. Let w = -142 + 151. Let b(s) = 15*s**2 - 5*s**2 - 3*s**2 - w*s**2. What is b(x(l))? -2*l**4 + 44*l**3 - 242*l**2 Let m(g) = -58*g + 6. Let o(t) = -77*t + 8. Let y(z) = 8*m(z) - 6*o(z). Let x(j) = 15*j + 10. Determine y(x(w)). -30*w - 20 Let j(k) = 23 + 2*k + 26 + 29 - 103. Let g(a) = -7*a**2. Give j(g(t)). -14*t**2 - 25 Let b(t) = -3*t. Let v(c) = 16*c + 1. Let i(h) = 20*h - 64*h + 12*h + 21*h. Let g(q) = -3*i(q) - 2*v(q). Determine b(g(l)). -3*l + 6 Let t(z) be the first derivative of 13*z**3/3 - 6200. Let c be 1/2 - 9/(-6). Let i(f) = 4*f - 3*f - c*f. Give i(t(d)). -13*d**2 Let d(m) be the third derivative of 0*m + 0*m**3 - 11/24*m**4 + 35*m**2 + 0. Let t(r) = -8*r**2. Give t(d(s)). -968*s**2 Let p(k) = k**2 + 130*k. Let b(f) = 48*f**2 + 4160*f. Let m(a) = b(a) - 32*p(a). Let x(q) = -57*q - 7. Calculate x(m(g)). -912*g**2 - 7 Let m(q) = -1570697*q**2 - 3. Let a(t) = 2*t**2. Give m(a(c)). -6282788*c**4 - 3 Let f(x) = -22*x**2. Let k(t) = 10*t**2 - 90*t + 10. Let m be k(10). Let p be -2*1 - -2 - -110. Let r(v) = -v - m + p. Give r(f(b)). 22*b**2 Let z(j) = -2*j**2 + 2*j. Let b(y) = -1951*y + 7. Give z(b(h)
{ "pile_set_name": "DM Mathematics" }
, 11/7, 42/905 in descending order. 11/7, 42/905, -2/9, -4, -5 Sort 35501, -384, -2. -384, -2, 35501 Put 0, -84, -2/7, 4/3, -583 in decreasing order. 4/3, 0, -2/7, -84, -583 Put 3, 5, 1187, -1, 4, 0, -5 in ascending order. -5, -1, 0, 3, 4, 5, 1187 Sort -184, -5, 69.97. -184, -5, 69.97 Put -47, 70, 1652 in ascending order. -47, 70, 1652 Sort 4, 72190, -2, -4, 9 in descending order. 72190, 9, 4, -2, -4 Sort 5, 0, 1, 647, -3, 10 in decreasing order. 647, 10, 5, 1, 0, -3 Sort 1576, 65, -5, 275 in descending order. 1576, 275, 65, -5 Put -60/157, -14, 0.037 in decreasing order. 0.037, -60/157, -14 Sort -3249, 6, -1, -2, 1. -3249, -2, -1, 1, 6 Sort 242, -660, 0, 25, -11 in descending order. 242, 25, 0, -11, -660 Sort -6755, 2, -2050 in decreasing order. 2, -2050, -6755 Put 4, -596, 85, -5/7 in decreasing order. 85, 4, -5/7, -596 Sort -2, 1, 3/5, -0.6, 7, -3/8. -2, -0.6, -3/8, 3/5, 1, 7 Sort -101, 4, 1, -9, -2121 in ascending order. -2121, -101, -9, 1, 4 Put 5, 3, 374, 734 in ascending order. 3, 5, 374, 734 Sort -11/3, -2, 4, -12/1457, 1, 0.1 in descending order. 4, 1, 0.1, -12/1457, -2, -11/3 Put -25619, 26/67, 0.08 in decreasing order. 26/67, 0.08, -25619 Sort 13, 2, -550, 885, 4. -550, 2, 4, 13, 885 Sort -266, -3/4, 1, -155, 11. -266, -155, -3/4, 1, 11 Sort -2, -7, 1, -1, 274, -5 in increasing order. -7, -5, -2, -1, 1, 274 Sort -0.2, 23130, 1/7, 4 in increasing order. -0.2, 1/7, 4, 23130 Put 1, 2777, -1/470 in ascending order. -1/470, 1, 2777 Put 5.27, -1/2, -3143 in descending order. 5.27, -1/2, -3143 Put -4, 2, 551718, -2, -13 in increasing order. -13, -4, -2, 2, 551718 Sort 2/515391, -0.2, -4, 0, -2/21 in ascending order. -4, -0.2, -2/21, 0, 2/515391 Sort 0.7, -727, -5.484 in descending order. 0.7, -5.484, -727 Put -669, -1/39, -89, -1 in ascending order. -669, -89, -1, -1/39 Put 3287862, 0.4, 5/2, 2/11, -0.2 in increasing order. -0.2, 2/11, 0.4, 5/2, 3287862 Sort 2, -26333, -8368. -26333, -8368, 2 Sort -1, -625, -3, 73, 5, 41, -5 in descending order. 73, 41, 5, -1, -3, -5, -625 Sort -2, 2716, -17486 in descending order. 2716, -2, -17486 Put 2, -1223, 0, -2, -2175 in descending order. 2, 0, -2, -1223, -2175 Sort 4, 0, -33, 116, -29. -33, -29, 0, 4, 116 Sort -3, -2, -23498, -5, 38. -23498, -5, -3, -2, 38 Sort -105946/5, 729, 5 in descending order. 729, 5, -105946/5 Put -280, 5, 1, 236, 7 in increasing order. -280, 1, 5, 7, 236 Put 2.4, 0.6, 0.4, 10742 in increasing order. 0.4, 0.6, 2.4, 10742 Sort -4, -9, 11, 2, -3, 12, -44 in increasing order. -44, -9, -4, -3, 2, 11, 12 Sort -3, -11728, 33, 46 in descending order. 46, 33, -3, -11728 Put -9, 0, -8, 41, 1, 9.9 in increasing order. -9, -8, 0, 1, 9.9, 41 Put -1, 0, -44, 3977, -3, -43, 3 in decreasing order. 3977, 3, 0, -1, -3, -43, -44 Sort -2.1, -1/21, 187, -2/3. -2.1, -2/3, -1/21, 187 Sort 1, -5911684, -0.9 in decreasing order. 1, -0.9, -5911684 Sort -39, 3, -1, 9, 46, 5 in ascending order. -39, -1, 3, 5, 9, 46 Put 75, 33, 3, -36 in descending order. 75, 33, 3, -36 Sort 147, 89493, -0.5 in decreasing order. 89493, 147, -0.5 Put -15, -8, -2, 0, -505, -41, 2 in ascending order. -505, -41, -15, -8, -2, 0, 2 Sort -1, 4, -423, 730, -6, 1 in increasing order. -423, -6, -1, 1, 4, 730 Put 10381, -4, 4, -366, -1, -5 in decreasing order. 10381, 4, -1, -4, -5, -366 Sort 2, 20, -24651, -0.4 in descending order. 20, 2, -0.4, -24651 Sort -0.165, 1/1320, -0.008, -4 in decreasing order. 1/1320, -0.008, -0.165, -4 Put -0.9, -30/293, 3 in ascending order. -0.9, -30/293, 3 Put 4, -2, 1, -250707, -4 in descending order. 4, 1, -2, -4, -250707 Sort -1, -13, -79, -4, 5, 103 in increasing order. -79, -13, -4, -1, 5, 103 Sort -19, -27, -71, 6, 12, -5. -71, -27, -19, -5, 6, 12 Sort 200/9, -33, -68, -0.1, -1. -68, -33, -1, -0.1, 200/9 Sort -5, 0, 51146, -4. -5, -4, 0, 51146 Sort 152767, 5, 91 in decreasing order. 152767, 91, 5 Put -116/27, 1287, -2/7 in descending order. 1287, -2/7, -116/27 Put -34, -3, 2453, 1, 9, 0, 4 in increasing order. -34, -3, 0, 1, 4, 9, 2453 Put 13.8, 2.878, 1, 8 in ascending order. 1, 2.878, 8, 13.8 Sort -2, 13, 1, 3, 21, 23, -5. -5, -2, 1, 3, 13, 21, 23 Sort 0.1, -0.2, 12, 0.7, 2, -0.16 in ascending order. -0.2, -0.16, 0.1, 0.7, 2, 12 Sort 8893, 3, 0, 15 in descending order. 8893, 15, 3, 0 Sort -9, 343, 2, 4, 66, -5 in descending order. 343, 66, 4, 2, -5, -9 Put -2/3, -4882, 2/11, -2, 1/8 in descending order. 2/11, 1/8, -2/3, -2, -4882 Sort 5, -2/19, 0.6, 509, 80 in decreasing order. 509, 80, 5, 0.6, -2/19 Sort 1, 0.4, -23, 0, 4, 6, 9 in descending order. 9, 6, 4, 1, 0.4, 0, -23 Sort -3, -48/11, 790381 in descending order. 790381, -3, -48/11 Sort 3159227, -0.06, -0.4 in decreasing order. 3159227, -0.06, -0.4 Put 21.3, -3, 0, -139/150, -0.2 in ascending order. -3, -139/150, -0.2, 0, 21.3 Put -424, 4, -165, -91 in ascending order. -424, -165, -91, 4 Put -86, -4/2197, -3/7 in decreasing order. -4/2197, -3/7, -86 Sort 4, -3, -8473, -1/14, 0 in ascending order. -8473, -3, -1/14, 0, 4 Sort 5, -2, -16, 3383, -1, -3, 76 in decreasing order. 3383, 76, 5, -1, -2, -3, -16 Sort -6, 4, -11, -3, 51, -1, -5 in ascending order. -11, -6, -5, -3, -1, 4, 51 Put -0.25, -0.487, -4, -5.7, -1/7 in increasing order. -5.7, -4, -0.487, -0.25, -1/7 Sort 0.6, 54, 1194, 4 in decreasing order. 1194, 54, 4, 0.6 Sort 2307, 1, -50, 0.06, -5 in decreasing order. 2307, 1, 0.06, -5, -50 Put 32, -49, 4869 in decreasing order. 4869, 32, -49 Sort -14, 12, 489, -2, 6, -5 in increasing order. -14, -5, -2, 6, 12, 489 Put 18, -1836, -286 in descending order. 18, -286, -1836 Sort 5, 2/9, -5/3, -2198. -2198, -5/3, 2/9, 5 Put -76792, -808, 4 in decreasing order. 4, -808, -76792 Sort 4, 17, -123/67. -123/67, 4, 17 Sort -17.4, 1/4, 102, -0.97, 0 in ascending order. -17.4, -0.97, 0, 1/4, 102 Sort 1, 6, 3, -10, -3, 111. -10, -3, 1, 3, 6, 111 Put -4095948, -2, 3 in ascending order. -4095948, -2, 3 Sort -5, 1, 3, 4, 752, 240, 2 in ascending order. -5, 1, 2, 3, 4, 240, 752 Sort -461, 4, -3, 9, 1, -48, 5 in descending order. 9, 5, 4, 1, -3, -48, -461 Put 0.1, 7862, -4231 in descending order. 7862, 0.1, -4231 Sort 16, 2, -1, 2915. -1, 2, 16, 2915 Sort -4, 1, 3847, 4 in increasing order. -4, 1, 4, 3847 Sort -12, 5, 3, -35, -47, -19 in ascending order. -47, -35, -19, -12, 3, 5 Sort -2, 66035, -1, -4, 5 in increasing order. -4, -2, -1, 5, 66035 Sort 73, 0, 64, 18 in increasing order. 0, 18, 64, 73 Sort 0, 12, 8, -3, 5, -567 in ascending order. -567, -3, 0, 5, 8, 12 Put -1/5, 1/2, -1/124, -59 in ascending order. -59, -1/5, -1/124, 1/2 Sort -2, 10, 6, -75, -4 in increasing order. -75, -4, -2, 6, 10 Sort 6, 3, 5, 98, 23408. 3, 5, 6, 98, 23408 Sort 297, 4, 101, -4, 0 in decreasing order. 297, 101, 4, 0, -4 Sort 0.3, 7, 98, 3111 in descending order. 3111, 98, 7, 0.3 Put 64, -763, 0, -5, -4 in descending order. 64, 0, -4, -5, -763 Put 3, 0, -0.4, 2.2, -51, 13, 57 in ascending order. -51, -0.4, 0, 2.2, 3, 13, 57 Sort 0.06, 0.5, 5, 2/7, 37, 3 in decreasing order. 37, 5, 3, 0.5, 2/7, 0.06 Put -0.5, 2/11, 7005, -8, -2/3 in descending order. 7005, 2/11, -0.5, -2/3, -8 Put -1, -192, 3, -7154, 5 in ascending order. -7154, -192, -1, 3, 5 Put 2/121, -4, 23526 in increasing order. -4, 2/121, 23526 Sort 859, -4, -0.043, 1/5, 0, -2 in descending order. 859, 1/5, 0, -0.043, -2, -4 Sort 2, 5, -60, 8, -54, -5 in descending order. 8, 5, 2, -5, -54, -60 Sort 0.1, -23/8, -3, 124/725, 5. -3, -23/8, 0.1, 124/725, 5 Put 3, 5, 10, -4, -18, -1, 16 in increasing order. -18, -4, -1, 3, 5, 10, 16 Sort 10, -39800, 2, 8 in decreasing order. 10, 8, 2, -39800 Sort -25, -44701, -2. -44701, -25, -2 Put -308747, 4, 5 in increasing order. -308747, 4, 5 Put 73, 10, -5, -2, 12, -3, -4 in increasing order. -5, -4, -3, -2, 10, 12, 73 Put -4, 4, -3, 14991 in decreasing order. 14991, 4, -3, -4 Put -1, 53, 1, 59318, 4, 0 in increasing order. -1, 0, 1, 4, 53, 59318 Sort -1, -6, -2, -109, 0, -4, 17 in ascending order. -109, -6, -4, -2, -1, 0, 17 Sort -14/43, -16, 1/6, -38, 1 in ascending order. -38, -16, -14/43, 1/6, 1 Put -4, 7, 1, 3, -19, 10 in descending order. 10, 7, 3, 1, -4, -19 Sort -1, 0, -240, 4, 5, -3 in decreasing order. 5, 4, 0, -1, -3, -240 Sort -648494, 14, -2, 0. -648494, -2, 0, 14 Sort 1.2, 5/8858, -10. -10, 5/8858, 1.2 Put 13, -19, -8, 2, -451 in decreasing order. 13, 2, -8, -19,
{ "pile_set_name": "DM Mathematics" }
b of picking 1 m and 1 a. 10/21 Four letters picked without replacement from gfgffgfgfffgff. Give prob of picking 1 f and 3 g. 90/1001 What is prob of picking 2 t, 1 j, and 1 s when four letters picked without replacement from ttsjsttnnn? 2/35 What is prob of picking 1 a and 2 h when three letters picked without replacement from {e: 2, v: 3, a: 4, h: 4, d: 3}? 3/70 Four letters picked without replacement from {x: 3, l: 9}. Give prob of picking 3 x and 1 l. 1/55 Two letters picked without replacement from nzysf. What is prob of picking 1 n and 1 s? 1/10 Calculate prob of picking 4 v when four letters picked without replacement from pvssbpsvvpvppsp. 1/1365 Calculate prob of picking 2 m and 1 t when three letters picked without replacement from mbttttttmmxbmt. 3/26 Three letters picked without replacement from {d: 2, t: 5, m: 3, c: 9}. What is prob of picking 1 c, 1 t, and 1 m? 45/323 Calculate prob of picking 1 y and 2 e when three letters picked without replacement from qyyzyeyyeeyy. 21/220 Four letters picked without replacement from {b: 3, e: 1, m: 1}. What is prob of picking 1 m and 3 b? 1/5 Two letters picked without replacement from fffftftff. What is prob of picking 2 f? 7/12 Calculate prob of picking 1 a, 1 n, 1 e, and 1 p when four letters picked without replacement from praenaa. 3/35 Two letters picked without replacement from {o: 1, s: 3, q: 10, g: 4}. Give prob of picking 1 g and 1 o. 4/153 Calculate prob of picking 1 d, 1 w, and 1 z when three letters picked without replacement from fwbdfzbnz. 1/42 Two letters picked without replacement from kkkkkkkkkk. Give prob of picking 2 k. 1 What is prob of picking 1 b and 1 g when two letters picked without replacement from bebg? 1/3 What is prob of picking 2 q when two letters picked without replacement from qqulkii? 1/21 Four letters picked without replacement from {r: 2, e: 6, g: 2, c: 2}. Give prob of picking 2 c, 1 e, and 1 g. 4/165 Two letters picked without replacement from mllhchhchjql. Give prob of picking 1 l and 1 q. 1/22 Three letters picked without replacement from {d: 2, i: 5, j: 2, x: 4, u: 1}. What is prob of picking 3 i? 5/182 Two letters picked without replacement from {n: 2, o: 2}. What is prob of picking 1 n and 1 o? 2/3 Calculate prob of picking 2 w and 2 s when four letters picked without replacement from {s: 3, w: 4, c: 1, x: 2, r: 3, u: 2}. 6/455 Calculate prob of picking 2 i when two letters picked without replacement from {i: 9, b: 7}. 3/10 Three letters picked without replacement from {n: 1, s: 1, k: 1, q: 2, x: 2}. Give prob of picking 1 k, 1 s, and 1 n. 1/35 Two letters picked without replacement from ccccrccc. Give prob of picking 2 c. 3/4 Three letters picked without replacement from {z: 2, n: 4, v: 2, r: 12}. What is prob of picking 1 z and 2 v? 1/570 Four letters picked without replacement from zzzyzzzzy. What is prob of picking 3 z and 1 y? 5/9 What is prob of picking 2 t and 1 e when three letters picked without replacement from {e: 7, t: 6}? 105/286 Two letters picked without replacement from vmbxr. Give prob of picking 1 v and 1 m. 1/10 Calculate prob of picking 1 k and 1 z when two letters picked without replacement from kkktz. 3/10 What is prob of picking 3 q when three letters picked without replacement from {q: 9}? 1 Four letters picked without replacement from amvvqtftfffvmavvva. Give prob of picking 1 a, 1 f, 1 t, and 1 v. 4/85 Calculate prob of picking 2 z when two letters picked without replacement from {r: 1, h: 2, z: 3, w: 3, s: 1}. 1/15 What is prob of picking 1 y, 1 x, and 1 h when three letters picked without replacement from xhyyxyy? 8/35 Four letters picked without replacement from geteeetg. What is prob of picking 3 e and 1 g? 4/35 Three letters picked without replacement from rrtqrrtrnrrrttrttt. Give prob of picking 2 r and 1 n. 3/68 What is prob of picking 2 n when two letters picked without replacement from {h: 1, z: 1, r: 1, n: 2}? 1/10 Four letters picked without replacement from {u: 5, z: 2, f: 2}. What is prob of picking 4 u? 5/126 Two letters picked without replacement from rppfdfffpnp. What is prob of picking 1 d and 1 f? 4/55 Calculate prob of picking 2 v and 1 q when three letters picked without replacement from jojvovjjjooooqoojj. 1/816 Two letters picked without replacement from eege. Give prob of picking 1 g and 1 e. 1/2 Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, q: 15}. 4/969 Four letters picked without replacement from {a: 11, e: 3}. Give prob of picking 3 e and 1 a. 1/91 What is prob of picking 2 g when two letters picked without replacement from kkkggfkgggkfgfgg? 7/30 What is prob of picking 1 n and 1 o when two letters picked without replacement from {t: 5, o: 4, n: 6}? 8/35 Four letters picked without replacement from ttnnttrtntntttnrnttn. What is prob of picking 2 n, 1 t, and 1 r? 154/1615 Four letters picked without replacement from {z: 5, u: 2, g: 4}. Give prob of picking 3 z and 1 g. 4/33 Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {z: 1, f: 1, w: 1}. 1/3 Four letters picked without replacement from {e: 1, r: 1, h: 3, p: 9}. Give prob of picking 1 e, 2 h, and 1 p. 27/1001 Two letters picked without replacement from vllxvpxlvlxvxlv. What is prob of picking 2 v? 2/21 Calculate prob of picking 1 i and 2 w when three letters picked without replacement from wiwwwwwwwwwwwiowoo. 13/68 Two letters picked without replacement from {z: 2, t: 3}. What is prob of picking 2 z? 1/10 Three letters picked without replacement from nnnnnndnnnnnn. What is prob of picking 3 n? 10/13 What is prob of picking 1 k, 1 z, and 2 a when four letters picked without replacement from kzaazkzzkwkkkkq? 4/195 What is prob of picking 3 x and 1 k when four letters picked without replacement from srsxrkfxxx? 2/105 Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {c: 1, j: 1, z: 5, r: 3, h: 3, q: 2}. 3/35 What is prob of picking 1 j and 2 p when three letters picked without replacement from rprrprpprjrrpp? 15/364 Four letters picked without replacement from {y: 2, v: 6, r: 7}. What is prob of picking 1 r and 3 v? 4/39 Calculate prob of picking 1 j and 3 c when four letters picked without replacement from kvkvcvkvjvckhcvv. 1/1820 Three letters picked without replacement from {o: 14, y: 2, u: 1}. What is prob of picking 1 o and 2 y? 7/340 Two letters picked without replacement from {j: 3, w: 8}. What is prob of picking 2 w? 28/55 Two letters picked without replacement from ttttttlttttttltttl. What is prob of picking 1 l and 1 t? 5/17 Two letters picked without replacement from {m: 2, q: 5, x: 1, a: 5, h: 1, j: 1}. What is prob of picking 1 m and 1 x? 2/105 Two letters picked without replacement from dbjjwvjdvwjwvvvwvv. What is prob of picking 1 j and 1 d? 8/153 Two letters picked without replacement from gxxgggxxxx. Give prob of picking 2 x. 1/3 Calculate prob of picking 1 h and 3 v when four letters picked without replacement from {v: 3, y: 13, h: 1, r: 2}. 1/3876 Three letters picked without replacement from {v: 1, w: 1, n: 1, f: 2, u: 1, l: 2}. What is prob of picking 1 u, 1 v, and 1 f? 1/28 Four letters picked without replacement from {d: 4, j: 2, s: 1, u: 1, x: 3}. Give prob of picking 3 x and 1 d. 2/165 Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {n: 4, v: 3, k: 1, r: 3}. 3/55 Four letters picked without replacement from kookkoooook. Give prob of picking 1 o and 3 k. 14/165 Two letters picked without replacement from ylffllllllffflflflyl. Give prob of picking 1 y and 1 l. 11/95 What is prob of picking 3 p when three letters picked without replacement from pyppppypp? 5/12 Calculate prob of picking 3 v when three letters picked without replacement from vnmvnvvmmvvmv. 35/286 Calculate prob of picking 1 j, 2 y, and 1 x when four letters picked without replacement from {y: 3, m: 5, i: 4, x: 5, j: 2}. 5/646 Two letters picked without replacement from tphpptpxtttpttpmpxnt. Give prob of picking 1 p and 1 x. 7/95 What is prob of picking 2 q and 1 x when three letters picked without replacement from qqxqqqqxqqqqqqx? 198/455 Three letters picked without replacement from {h: 6, u: 2, d: 2, m:
{ "pile_set_name": "DM Mathematics" }
. 67 (-25*(-5)/20)/((16685/(-142))/(-47)) 5/2 Evaluate 4770706/16818*(-5)/(-115). 37/3 What is the value of 30/(-9)*209118/13405? -52 What is (-36)/6*(-13)/(-4)*(-4)/(-27)*-3? 26/3 Evaluate 72/((-4)/(-1))*-91*(-79)/14378. 9 What is 4/(521/(-521)*2/73)? -146 What is the value of ((-2200)/450)/((-2)/21*21/(-9))? -22 What is 6*1*((-73632)/11700)/118? -8/25 What is the value of 537992/2956*(-6)/(-52)? 21 What is ((-123)/((-2)/(-6)*1422/316))/2? -41 (98/(-8))/(5561/22244) -49 What is the value of ((-112)/(693840/945))/18? -1/118 Evaluate (139920/(-198))/53*36/(-15). 32 What is (81/(-135))/((-288)/(-640)*18/(-99))? 22/3 What is the value of ((-448)/24)/((-305)/(-915))? -56 (12/78)/(24/27*666/1924) 1/2 (12/2)/((-774)/(-387))*1/(-3) -1 What is (-2)/18*(-37071)/(-70023)? -1/17 What is the value of (((-36)/(-1113))/3)/(3/(-15)*2160/1512)? -2/53 What is the value of ((-24)/(-1998))/(274/2877)*(-6)/(-14)? 2/37 Calculate (3/(100/90*48/(-40)))/((-21)/2). 3/14 What is the value of (4/77)/((-51900)/(-95150))? 2/21 Calculate ((-4)/(-2))/((2178/(-66))/660). -40 What is the value of ((-189)/1197)/((3/15)/(-2*5/25))? 6/19 What is the value of ((-7416)/(-96))/(9/(-8))*12*12/96? -103 What is the value of (-5*((-4)/(-7))/4)/((-6)/(-84)*-1)? 10 What is the value of 27132/(-1368)*54/(-459)? 7/3 What is the value of ((-398)/(-6169))/((-2)/(-589))? 19 13*96/(-36400)*(-210)/(-270) -2/75 Calculate 2/41*73267/(-7148)*-8*17. 68 Calculate (-225)/630*35*242/(-55). 55 What is 36/((-156)/(-13))*(-43)/(-4773)? 1/37 What is (900/150)/(((-36)/35)/(-6))? 35 Calculate (3/15)/((-63)/((-14112)/(-16))). -14/5 What is (186/(-45)*-3)/(896/336*(-3)/20)? -31 What is the value of (-1*7*(-8)/(-504))/(-13*20/226980)? 97 What is the value of ((-1926)/3531)/(((-1)/10)/((-374)/(-255)))? 8 What is the value of (8/2)/760*(-55)/10*20/(-44)? 1/76 3/(-18)*42*(-344)/(-2451)*54/56 -18/19 Calculate ((-34755)/(-1640436))/((-2)/(24/(-15))). 1/59 What is (1/39)/(64*136/208896)? 8/13 (6/(-44)*2)/((-3745)/(-5885)) -3/7 What is the value of (0/2)/(148/(-2442)*33)? 0 What is (38/(-3))/(609/1827)? -38 Calculate ((-12)/(-18))/(4*60/8640). 24 Evaluate ((-2504)/626)/((-8)/(-96)). -48 What is the value of (2*-1)/((-132)/(-2376)*1)? -36 What is the value of 23/(-2)*(-1892)/(-946)? -23 What is the value of 4/6*(3618/(-10854))/(2/48)? -16/3 Evaluate (5220/1015)/(18/168*-4). -12 What is ((-191)/(-1337))/(2/(-14))*68/(-2)? 34 What is (22/8)/(((-1070)/1926)/((-16)/18))? 22/5 Calculate (2/(-4))/((-11508)/2192). 2/21 (5*45/(-54)*(-18)/(-30))/(2/(-68)) 85 Evaluate 64/3*((-351)/(-624))/((-57)/152). -32 Calculate (166/83)/((2/(-4))/((-7416)/288)). 103 What is the value of ((-47880)/21840)/((-9)/390)? 95 What is the value of 21*(1/(-9))/(((-1850)/(-50))/333)? -21 What is the value of (-6)/(((-732)/1098)/(-3*(-40)/(-36)))*2? -60 Evaluate (-6)/(-25)*164840/(-3804). -52/5 Evaluate ((-30)/(-490))/3*3955/(-226). -5/14 Evaluate 3/59*(-24)/(-4608)*-32*-2. 1/59 What is the value of (-30)/(((-374)/(-22))/17)? -30 Calculate ((90/(-12))/(-3))/((-1330)/114). -3/14 What is 14/11*(-440)/(-140)*23/6? 46/3 Evaluate 35532/(-1128)*6/27*-6. 42 Evaluate 4759/23795*130/(-16). -13/8 What is (6/(-150)*-515)/(35/((-1050)/(-6)))? 103 What is the value of 8/108*-51*4518/502? -34 Calculate -14*(-8)/(-54)*738/656. -7/3 (1384/3114)/(((-278)/(-18))/((-34)/(-68))) 2/139 Calculate (2/(-2))/((-8)/((-27336)/(-51))). 67 What is (-135)/(39285/1358)*(-6)/(-994)? -2/71 (-2)/(6*3/(405/870)*24/8) -1/58 What is the value of (870/1218)/(125/13650)? 78 Evaluate (-53)/2*(1650/(-1375))/((-3)/(-5)). 53 What is the value of (19/(285/4))/(-2*(-1)/(-10))*-18? 24 Evaluate 34/(-16*(-108)/(-6048)). -119 17/544*20*268/(-13065) -1/78 What is the value of (8028/1115)/((-36)/(-345))? 69 -114*(-785)/2826*(-3)/5 -19 What is ((-308)/245)/(242/(-847))*-15? -66 What is the value of (-22041)/(-12245)*2/(-3)*(-75)/(-6)? -15 Evaluate 1309/(13447/(-113))*(-8)/2. 44 Evaluate 17/(816/(-232))*((-288)/40)/((-18)/(-45)). 87 (-39159)/1374*4*(-3)/6 57 What is -6*(171/126)/(12/56)? -38 Calculate 54708/8460*210/(-14). -97 Evaluate 20331/(-189756)*-2*3. 9/14 What is -1*4/(-60)*-13*(-1353)/143? 41/5 Evaluate (133/2850*-3)/(-21*4/48). 2/25 What is (2/(-356))/((-8001)/32004)? 2/89 What is the value of ((85/(-204))/((-42)/504))/(-13)? -5/13 What is the value of 10*(6/4)/(-3)*(-1391)/(-6955)? -1 Evaluate (206960/119400)/(2/5). 13/3 (200/175)/(1584/3528) 28/11 What is the value of (9/6*(-180)/(-1404)*26)/((-36)/720)? -100 What is the value of (-1)/((-6)/(-9))*9/((-243)/(-450))? -25 Evaluate ((-64)/((-117504)/27))/(9/6*(-1)/6). -1/17 Calculate (2/(-7))/(((-6)/(-255))/(763/(-2180))). 17/4 (-3)/(30/58)*(-50)/8*200/250 29 What is (-368*45/360)/(2*1)? -23 Evaluate (-1098)/2379*(-3)/(-27). -2/39 What is the value of (8/(-15))/((-67624)/(-684693))? -27/5 What is 15/220*(((-112750)/(-369))/(-110))/((-15)/72)? 10/11 Calculate (1056/(7392/(-77)))/(11/(-70)). 70 (4/120)/(1326/(-246636)) -31/5 What is 20*60/(-600)*(-1)/2*-41? -41 What is the value of (3456/162)/64*12/(-164)? -1/41 Evaluate 1/((-618)/721*(-7)/(-4)*4/(-38)). 19/3 What is (54/810)/(((-29078)/(-84))/67)? 2/155 What is the value of (2/473)/(6464/71104)? 2/43 Evaluate 6/4*((-352)/660)/((-13)/((-650)/28)). -10/7 Evaluate (-258)/177*246915/(-8370). 43 Evaluate 56252/1715*10/4. 82 Calculate 140/(-150)*(-81)/(-189). -2/5 What is the value of ((-30)/35*(-7)/3*447/149)/(-10)? -3/5 What is the value of 62/(-124)*((-15594)/12)/(-23)*4? -113 What is (-5)/(125/12)*20940/(-16752)*-10? -6 ((-21)/42)/(4*(-7)/28)*-3 -3/2 Calculate (3663/2886)/((-6)/(-39))*(-8)/(-21). 22/7 Evaluate (6528/714)/(-42*60/(-1470)). 16/3 (4692/7038)/(5/12) 8/5 (1680/900)/((-32)/(-2160))*2/(-4) -63 Evaluate ((78/325)/(-15*(-15)/1125))/(45/(-50)). -4/3 (-38)/304*(-2632)/(-7) -47 ((-26)/(-273))/((-46)/(18676/(-290))) 2/15 ((2809/(-53))/(-53))/((-3)/((-126)/(-7))) -6 3780/(-324)*((-136)/34)/((-12)/(-9)) 35 Evaluate ((-42)/(-12))/(2093/38272). 64 What is the value of ((-5)/(50/(-124)))/(((-5048)/3155)/(8/2))? -31 What is 1924/(-185)*1140/(-304)? 39 What is the value of (((-80)/56)/2*1)/((-45)/(-45))? -5/7 What is (-38175)/3054*6/150? -1/2 Evaluate ((-33624)/(-58464))/(-467)*-1*(-21)/(-3). 1/116 6/(-130)*(-22438)/5178 1/5 Calculate (-15*(-16)/(-520))/(16/(-16)). 6/13 Calculate (58/(1276/22))/(((-325)/2)/5). -2/65 What is (-4)/(-1)*143/(-104)*(-3)/6*-8? -22 -42*49/686*(-5)/((-15)/(-36)) 36 What is (-42)/45*(-128856)/12272? 49/5 Calculate (-4522)/(-10241)*(-54)/(-306). 6/77 What is the value of (((-234)/13)/72)/(2/312)? -39 What is the value of ((-4779)/(-54162))/(6/(-8))? -2/17 Evaluate (-1)/2*(-16544)/(-1672)*19. -94 103/(-2987)*(-522)/1278*1 1/71 What is the value of 64/6*((-680085)/204)/635? -56 What is ((-8)/14)/(((-56398)/(-3633))/(-326))? 12 Calculate 112/(-36)*594*160/(-7040). 42 Calculate ((-6)/(24/(-4)))/(6*13/2574)*-1. -33 What is 28/392*(-5504)/172? -16/7 7/(700/(-15))*(-10965)/(-1462) -9/8 What is (6*(-3)/2)/(291/1261)? -39 Calculate (120/250*10/(-8))/((-9)/110). 22/3 Evaluate 186/((-651)/21)*(-45)/12*42/(-9). -105 8/(-192)*-12*5773/(-1004) -23/8 Evaluate (44/8)/((-9933)/180600). -100 Evaluate (((-136353)/302)/(-301))/(-39). -1/26 ((-12)/(-6))/(112/18200*65) 5 Evaluate 16*(22/24)/11*24/160*355. 71 What is ((-139)/139)/((3/12)/(19/4))? -19 (-100)/(-4)*-55*3160/(-55000) 79 What is the value of (90/(-8))/((-6576)/(-43840))? -75 Evaluate ((-552)/1932)/(57/38). -4/21 Evaluate (-24)/(-10)*(551855/(-333))/(-157)*-1*3. -76 Evaluate ((-4)/6)/(-47*(-159)/(-896760)). 80 What is 1/(-4)*(40992/(-21))/(-8)? -61 What is the value of 28*(-5)/15*((-2268)/448)/((-15)/(-20))? 63 Evaluate (-9)/(-6)*(-37)/((-4107)/296). 4 What is ((33/(-2))/(-11))/((-72)/(-26832)*13)? 43 16*(-72)/9216*424 -53 9/(-7)*(-504)/42*(-112)/(-24) 72 Evaluate (6/10)/(((-20615)/(-10450))/(-217)). -66 Evaluate 105/35*-4*2. -24 Calculate (-462)/1001*1196/12. -46 Evaluate ((12950/140)/185)/((-22)/20). -5/11 What is the value of ((-72)/90)/((-98)/(-80605)*-7)? 94 What is ((-20594)/(-41188))/((-1)/7)? -7/2 What is (5*2/25)/((-65)/(6825/966))? -1/23 What is (5192/295)/((-374)/(-510))? 24 Calculate ((-18)/210)/((-5775)/2695). 1/25 Evaluate (27083/15211)/((-3)/(-123)). 73 (-873)/27*-2*34/136*(-12)/(-2) 97 Evaluate ((1/(-79))/(-1))/(((-3263
{ "pile_set_name": "DM Mathematics" }
, 17, 1663 What are the prime factors of 174333? 3, 58111 List the prime factors of 2007829. 59, 34031 What are the prime factors of 1238806? 2, 167, 3709 What are the prime factors of 3258032? 2, 203627 What are the prime factors of 705647? 353, 1999 What are the prime factors of 3827170? 2, 5, 19, 20143 What are the prime factors of 247724? 2, 17, 3643 What are the prime factors of 34844? 2, 31, 281 What are the prime factors of 185517? 3, 6871 List the prime factors of 321435. 3, 5, 2381 What are the prime factors of 27703241? 27703241 What are the prime factors of 1022770? 2, 5, 7, 19, 769 What are the prime factors of 1028752? 2, 113, 569 What are the prime factors of 1367792? 2, 85487 What are the prime factors of 374421? 3, 137, 911 List the prime factors of 806614. 2, 47, 8581 List the prime factors of 20353860. 2, 3, 5, 73, 1549 What are the prime factors of 450386? 2, 23, 9791 What are the prime factors of 317581? 11, 28871 List the prime factors of 1498677. 3, 499559 What are the prime factors of 587948? 2, 146987 What are the prime factors of 603275? 5, 59, 409 List the prime factors of 4205593. 7, 19, 103, 307 List the prime factors of 200336. 2, 19, 659 List the prime factors of 1688967. 3, 7, 17, 19, 83 What are the prime factors of 22068516? 2, 3, 17, 108179 What are the prime factors of 11444566? 2, 7, 419, 1951 List the prime factors of 387689. 59, 6571 What are the prime factors of 400911? 3, 7, 17, 1123 List the prime factors of 4131694. 2, 7, 421, 701 List the prime factors of 1090037. 13, 191, 439 What are the prime factors of 2069763? 3, 689921 List the prime factors of 5644269. 3, 23, 61, 149 List the prime factors of 5504951. 53, 103867 What are the prime factors of 318097? 13, 24469 What are the prime factors of 420377? 163, 2579 List the prime factors of 127207. 127207 List the prime factors of 870872. 2, 23, 4733 List the prime factors of 409. 409 What are the prime factors of 157043? 97, 1619 List the prime factors of 670291. 53, 12647 What are the prime factors of 633494? 2, 73, 4339 List the prime factors of 6567250. 2, 5, 109, 241 List the prime factors of 300914. 2, 43, 3499 List the prime factors of 3073915. 5, 13, 19, 131 What are the prime factors of 3568357? 13, 274489 List the prime factors of 2098202. 2, 1049101 List the prime factors of 6487584. 2, 3, 67579 List the prime factors of 276683. 11, 25153 List the prime factors of 137732. 2, 7, 4919 List the prime factors of 29063536. 2, 23, 78977 List the prime factors of 17852894. 2, 19, 79, 313 List the prime factors of 415618. 2, 7, 4241 What are the prime factors of 1325326? 2, 19, 34877 What are the prime factors of 20822915? 5, 4164583 List the prime factors of 7896255. 3, 5, 149, 3533 List the prime factors of 14322. 2, 3, 7, 11, 31 List the prime factors of 592590. 2, 3, 5, 19753 What are the prime factors of 721152? 2, 3, 313 List the prime factors of 289299. 3, 73, 1321 What are the prime factors of 3745295? 5, 229, 3271 List the prime factors of 2319502. 2, 73, 15887 List the prime factors of 1020570. 2, 3, 5, 34019 List the prime factors of 97650. 2, 3, 5, 7, 31 List the prime factors of 2766810. 2, 3, 5, 92227 What are the prime factors of 313441? 31, 10111 What are the prime factors of 4298243? 31, 61, 2273 List the prime factors of 349057. 113, 3089 What are the prime factors of 91224? 2, 3, 7, 181 List the prime factors of 210187. 210187 List the prime factors of 823670. 2, 5, 31, 2657 What are the prime factors of 455774? 2, 11, 20717 List the prime factors of 1620135. 3, 5, 11, 1091 What are the prime factors of 19347036? 2, 3, 179, 9007 What are the prime factors of 2411387? 11, 219217 What are the prime factors of 2160016? 2, 127, 1063 What are the prime factors of 5108024? 2, 17, 23, 71 List the prime factors of 200969. 73, 2753 List the prime factors of 320283. 3, 19, 1873 List the prime factors of 17377410. 2, 3, 5, 127, 4561 What are the prime factors of 731477? 97, 7541 List the prime factors of 486390. 2, 3, 5, 31, 523 List the prime factors of 433594. 2, 7, 30971 What are the prime factors of 284334? 2, 3, 47389 What are the prime factors of 442391? 17, 53, 491 List the prime factors of 141176. 2, 7, 2521 List the prime factors of 616682. 2, 11, 28031 What are the prime factors of 12616? 2, 19, 83 What are the prime factors of 20826934? 2, 41, 253987 What are the prime factors of 225837? 3, 23, 1091 List the prime factors of 4851464. 2, 606433 What are the prime factors of 101460? 2, 3, 5, 19, 89 What are the prime factors of 574599? 3, 191533 What are the prime factors of 9279867? 3, 373, 8293 List the prime factors of 547562. 2, 43, 6367 List the prime factors of 1270754. 2, 41, 15497 List the prime factors of 2072722. 2, 31, 101, 331 List the prime factors of 260103. 3, 277, 313 What are the prime factors of 4488487? 4488487 List the prime factors of 1672860. 2, 3, 5, 7, 569 What are the prime factors of 2963743? 2963743 List the prime factors of 261741. 3, 43, 2029 What are the prime factors of 2729? 2729 List the prime factors of 913351. 47, 19433 What are the prime factors of 2059430? 2, 5, 41, 5023 What are the prime factors of 232701? 3, 7, 1583 List the prime factors of 1553816. 2, 11, 17657 What are the prime factors of 788485? 5, 31, 5087 List the prime factors of 3158089. 11, 287099 List the prime factors of 405400. 2, 5, 2027 What are the prime factors of 494153? 11, 167, 269 List the prime factors of 25764111. 3, 103, 27793 What are the prime factors of 503238? 2, 3, 83873 List the prime factors of 11939555. 5, 2387911 What are the prime factors of 495523? 7, 29, 2441 List the prime factors of 84032. 2, 13, 101 What are the prime factors of 1172846? 2, 41, 14303 List the prime factors of 9213393. 3, 7, 438733 What are the prime factors of 11121677? 7, 59, 3847 What are the prime factors of 712882? 2, 356441 List the prime factors of 2871118. 2, 1435559 What are the prime factors of 2540375? 5, 20323 What are the prime factors of 577997? 7, 82571 List the prime factors of 581212. 2, 145303 List the prime factors of 410705. 5, 82141 List the prime factors of 878209. 23, 38183 What are the prime factors of 18686451? 3, 7, 17, 3079 List the prime factors of 482660. 2, 5, 24133 List the prime factors of 629808. 2, 3, 13121 What are the prime factors of 12915948? 2, 3, 1076329 What are the prime factors of 34410381? 3, 11470127 What are the prime factors of 248370? 2, 3, 5, 17, 487 What are the prime factors of 29989182? 2, 3, 19, 263063 What are the prime factors of 382898? 2, 191449 List the prime factors of 148630. 2, 5, 89, 167 List the prime factors of 1703820. 2, 3, 5, 73, 389 List the prime factors of 2224278. 2, 3, 7, 127, 139 List the prime factors of 5816082. 2, 3, 969347 What are the prime factors of 1508860? 2, 5, 37, 2039 List the prime factors of 145519. 11, 13229 What are the prime factors of 8357057? 8357057 List the prime factors of 479884. 2, 119971 List the prime factors of 1982570. 2, 5, 198257 What are the prime factors of 3174077? 577, 5501 List the prime factors of 1689883. 13, 61, 2131 List the prime factors of 287536. 2, 17971 List the prime factors of 278945. 5, 47, 1187 List the prime factors of 948167. 11, 86197 What are the prime factors of 4278086? 2, 2139043 What are the prime factors of 497462? 2, 7, 35533 What are the prime factors of 16905755? 5, 3381151 What are the prime factors of 1226266? 2, 487, 1259 List the prime factors of 750990. 2, 3, 5, 25033 List the prime factors of 1641996. 2, 3, 17, 2683 What are the prime factors of 1350695? 5, 151, 1789 What are the prime factors of 2671615? 5, 534323 What are the prime factors of 191735? 5, 31, 1237 What are the prime factors of 7161227? 73, 263, 373 List the prime factors of 9642932. 2, 13, 185441 List the prime factors of 725031. 3, 8951 What are the prime factors of 329789? 329789 What are the prime factors of 8381164? 2, 11, 67, 2843 What are the prime factors of 176556? 2, 3, 14713 List the prime factors of 71799. 3, 7, 13, 263 What are the prime factors of 1374984? 2, 3, 13, 113 What are the prime factors of 110331? 3, 13, 23, 41 What are the prime factors of 3468230? 2, 5, 73, 4751 What are the prime factors of 1037106? 2, 3, 7
{ "pile_set_name": "DM Mathematics" }
. Give h(o(c)). -57*c**2 Let l(q) be the second derivative of -q**4/12 - 36*q. Let k(c) = c - 65. Give l(k(n)). -n**2 + 130*n - 4225 Let f(y) be the second derivative of y**4/6 - 5*y - 178. Let h(w) = 37*w. Let x(l) = -36*l. Let r(s) = -4*h(s) - 5*x(s). Determine r(f(j)). 64*j**2 Let u(x) = 2*x. Let f(s) = -9801*s. Determine u(f(z)). -19602*z Let m(u) = 5*u**2. Let d(r) be the second derivative of 2*r**3 + 18*r + 2. Calculate m(d(o)). 720*o**2 Let o(z) be the third derivative of 13*z**4/8 - 368*z**2. Let v(l) = -2*l**2. Calculate o(v(i)). -78*i**2 Let i(j) = 12*j. Let m(x) = -3*x - 28. Let g(z) = 2*z + 20. Let n(a) = 7*g(a) + 5*m(a). Give i(n(s)). -12*s Let d(a) be the first derivative of -37 + 27*a**3 - 13*a**3 - 6 - 15*a**3. Let v(m) = -28*m. Determine d(v(k)). -2352*k**2 Let l(x) = -x**2. Let h(r) = 3*r**2 + 21. Let d(k) = 9*k**2 + 41. Let f(j) = -2*d(j) + 5*h(j). What is f(l(n))? -3*n**4 + 23 Let r(c) be the second derivative of 11*c**3/6 - 91*c. Let s(i) = 20*i**2. Give s(r(t)). 2420*t**2 Let g(r) = 2*r + 79544. Let m(n) = n. Calculate m(g(q)). 2*q + 79544 Let r(z) = -2*z. Let s(q) = 10*q**2 - 3*q - 3. Let l(b) = -39*b**2 + 13*b + 13. Let v(f) = -6*l(f) - 26*s(f). Determine r(v(n)). 52*n**2 Let l(s) = -11*s**2 - 3*s + 3508. Let j(z) = -6*z. What is l(j(v))? -396*v**2 + 18*v + 3508 Let y(t) = 11*t**2. Let x(n) = -231*n**2 - 49*n + 49. Let r(u) = 19*u**2 + 4*u - 4. Let o(w) = 49*r(w) + 4*x(w). Determine o(y(c)). 847*c**4 Let h(a) = a**2. Let i(o) = 0*o**2 + 6*o**2 + 0*o**2. Let n be (-3)/6*-6 - (13 + -5). Let v(l) = n*h(l) + i(l). Let t(d) = 23*d. Give v(t(w)). 529*w**2 Let t(o) = -3*o**2 - 3 + 3. Let y(a) = 7*a - 6. Let f(d) = 13*d - 11. Let n be 33*(2/7 + (-1)/(-21)). Let v(j) = n*y(j) - 6*f(j). Give t(v(h)). -3*h**2 Let h(p) = -2*p**2. Let y(f) = 76*f**2 - 9*f**2 + 0*f**2. Calculate h(y(w)). -8978*w**4 Let n(h) be the third derivative of -71*h**6/360 + 26*h**3/3 + 2*h**2 + 11*h. Let p(g) be the first derivative of n(g). Let u(m) = -2*m. What is u(p(k))? 142*k**2 Let g(z) = -116196*z. Let r(x) = -x**2. What is g(r(a))? 116196*a**2 Let u(w) = 17*w**2 + 2*w - 4. Let s(t) = 68*t**2 + 9*t - 18. Let l(j) = 2*s(j) - 9*u(j). Let q(v) be the first derivative of -v**2 + 5. Calculate q(l(h)). 34*h**2 Let g(i) = 74*i. Let r(q) = -18961 - q + 18961. Give r(g(f)). -74*f Let n(a) = 17*a**2. Let d be (-3)/(-4)*(-32)/(-6). Let x(u) = u**2 - 3*u. Let g(o) = o**2 - 4*o. Let z(j) = d*x(j) - 3*g(j). Calculate n(z(m)). 17*m**4 Let j(i) = 2*i. Suppose -5*u + 8 + 2 = 0. Let n(o) = -4*o**u - 186 + 186. What is j(n(f))? -8*f**2 Let c = 2 - -33. Let n(g) = 4*g + 31 + c - 66. Let h(p) = 2*p**2. What is n(h(a))? 8*a**2 Let u(v) = -1844*v. Let p(f) = 6*f - 1. Give p(u(c)). -11064*c - 1 Let g(t) = -708037*t**2. Let i(w) = 2*w**2. What is g(i(x))? -2832148*x**4 Let a(z) = -5*z. Let k(j) = 2. Let b(x) = x + 3. Let u(d) = -2*b(d) + 3*k(d). Let c(o) = 3*a(o) - 8*u(o). Let s(l) = 2*l**2 + 24*l. Give s(c(v)). 2*v**2 + 24*v Let z(v) = 9*v. Let s(r) = -8*r - 330. Calculate s(z(d)). -72*d - 330 Let d(i) = 4*i**2. Let y(f) = -4*f + 1. Let q(o) = -45*o + 11. Let j(w) = 4*q(w) - 44*y(w). What is j(d(k))? -16*k**2 Let l(t) = 661*t**2 + 5*t + 2*t - 651*t**2. Let q(b) = 9*b**2 + 6*b. Let h(y) = 6*l(y) - 7*q(y). Let x(p) = -18*p**2. What is x(h(f))? -162*f**4 Let c(s) be the first derivative of -3*s**2/2 - 1. Let l(b) be the third derivative of -b**4/24 - 2*b**2 + 282*b. Determine c(l(v)). 3*v Let g(b) = 2*b. Let r(z) be the third derivative of -z**4/12 + 7*z**3/3 + 381*z**2. What is r(g(f))? -4*f + 14 Let b(g) be the first derivative of 11*g**4/24 - 3*g**2 + 1. Let r(a) be the second derivative of b(a). Let h(t) = t**2. Calculate r(h(c)). 11*c**2 Let t = 52 + -50. Let n(g) = 7*g**2 - 2*g**2 - 3*g**t. Let h(u) = -2*u**2. What is h(n(r))? -8*r**4 Let f(d) be the third derivative of d**4/24 + 957*d**2. Let y(x) = 271*x - 1. Give f(y(l)). 271*l - 1 Let u(n) = 10*n**2. Let a(b) be the second derivative of -1/6*b**4 + 0*b**3 + 0*b**2 + 0 + 11*b. Calculate u(a(p)). 40*p**4 Let w(l) = 16975*l. Let k(h) = -6*h. Determine w(k(g)). -101850*g Let f(y) = 5*y**2. Let j(m) be the first derivative of 2*m**3/3 - 20. What is j(f(p))? 50*p**4 Let y(n) = 317 + 24*n + 322 + 317 - 956. Let z(i) be the second derivative of i**4/12 - i. Give y(z(f)). 24*f**2 Let a(z) = -z - 34. Let v(k) = -2*k - 308. What is v(a(o))? 2*o - 240 Let h(u) = 31*u. Let g(f) = -22*f + 166. Calculate g(h(n)). -682*n + 166 Let x(v) = -v + 1. Let y(r) = 2*r**2 + 14*r - 14. Let q = -57 + 127. Let n(k) = q*x(k) + 5*y(k). Let p(u) = -2*u**2. Give n(p(h)). 40*h**4 Let a(j) = -26224*j - 1. Let d(m) = 5*m**2. Determine a(d(g)). -131120*g**2 - 1 Let p(q) be the second derivative of -29*q**4/12 - 23*q. Let j(y) = 2*y**2 - 3*y**2 + y**2 - y**2. Calculate p(j(s)). -29*s**4 Let a(w) = -3*w. Let u(r) be the second derivative of r**5/30 - r**2/2 + 11*r. Let y(g) be the first derivative of u(g). Calculate a(y(m)). -6*m**2 Let l(h) be the third derivative of -h**5/12 - 2*h**2. Let t(c) be the third derivative of c**5/12 - 4*c**2 + 80. Give t(l(k)). 125*k**4 Let q(n) be the third derivative of 0*n + 0*n**3 - 1/24*n**4 + 0 + 5*n**2. Let w(p) = 6*p**2. What is q(w(g))? -6*g**2 Let z(s) = -34*s. Let l(k) be the second derivative of -k**4/6 - k - 7. What is z(l(a))? 68*a**2 Let l(c) be the second derivative of c**4/4 + 10*c. Let o(x) be the second derivative of -x**3/3 + 28*x - 2. Calculate l(o(h)). 12*h**2 Let b(h) = 33*h - 1427. Let q(u) = 3*u. Give q(b(f)). 99*f - 4281 Let g(o) = 3*o**2. Suppose -5*p = 5*s - 5 + 20, 3*p - 12 = 4*s. Let a(v) be the first derivative of -1/3*v**3 + 0*v + p*v**2 - 7. Determine g(a(y)). 3*y**4 Let s(p) = 14*p**2. Let m(c) = c - 3343. What is s(m(g))? 14*g**2 - 93604*g + 156459086 Let m(s) = 3*s - 7949. Let p(a) = 10*a. Give p(m(h)). 30*h - 79490 Let i(k) be the third derivative of -k**5/60 + k**3/6 + 17*k**2. Let p(t) be the first derivative of i(t). Let v(y) = -9*y**2. Give p(v(b)). 18*b**2 Let p(k) = k**2 + 9*k + 3. Let w(h) = 2*h**2 + 12*h + 4. Let y(s) = 4*p(s) - 3*w(s). Let r(b) = -111*b**2. What is r(y(z))? -444*z**4 Let g(l) = 762953*l**2. Let f(q) = 9*q**2. Give g(f(z)). 61799193*z**4 Let j(y) = 2*y**2 - 928*y. Let c(d) = 698*d. Give j(c(r)). 974408*r**2 - 647744*r Let v(j) = 31*j**2 - 1. Let r(i) = -791*i - 1. Determine v(r(m)). 19396111*m**2 + 49042*m + 30 Let k(j) = j**2 - 1133. Let x(t) = -t - 15. What is k(x(r))? r**2 + 30*r - 908 Let d(n) = n. Let z be d(2). Suppose 0 = z*m - m + w - 1, 2*w + 2 = 0. Let g(s) = -7*s**m + 61*s - 61*s. Let p(y) = y. Give p(g(o)). -7*o**2 Let p(u) = 4706389*u. Let h(f) = f**2. Determine p(h(v)). 4706389*v**2 Let x(m) = m. Let u be ((-9)/6)/(6/32). Let v(w) = -11*w**2 - 5. Let r(g) = -17*g**2 - 8. Let a(p) = u*v(p) + 5*r(p). What is x(a(c))? 3*c**2 Let q(l) = 11*l. Let p(a) = -61*a + 12*a + 34*a. Give p(q(o)). -165*o Let s(x) = x. Let t be (-2)/3 - (-142)/6. Let i(l) = t*l**2 + 24 - 24. Determine s(i(y)). 23*y**2 Let v(l) = l**2. Let h(m) = -5*m**2 - 28*m + 6. Calculate h(v(r)). -5*r**4 - 28*r**2 + 6 Let a(x) = x. Let k(i) = -i. Let y(m) = 3*a(m) - 3*k(m). Suppose 2*s = -q + 2, 4 = -2*s - 4*q - 0*q. Let p(l) = -3*l**2 + 4*l**s + l**2. Calculate y(p(z)). 12*z**2 Let a(i) = 756*i**2 + 6. Let w(b) = 200*b**2. Calculate a(w(f)). 30240000*f**4 + 6 Let v(j) = 38*j**2. Let w(p) = -3*p**2 - 153. Calculate w(v(l)). -4332*l**4 - 153 Let q(s) be the third derivative of s**4/24 - s**2. Let h(u) = u**2 + 2*u - 10. Let r(y) = -4*y**2 - 5*y + 25. Let c(b) = 5*h(b) + 2*r(b). Calculate c(q(x)). -3*x**2 Let k(c) = -8591*c - 36. Let x(a) = -6*a**2. Calculate k(x(j)). 51546*j**2 - 36 Let u(q) = -5*q. Let a(m) = -3*m - 1. Let r(z) = 37*z**2 + 18*z + 6. Let y(b) = 6*a(b) + r(b). What is u(y(k))? -185*k**2 Let q(m) = 4*m. Let r(c) = -71*c + 38. What is q(r(b))? -284*b + 152 Let o(z) = -z**2. Let p(m) = -47*m**2 - 39*m**2 + 15*m**2 - 17*m**2. Determine o(p(f)). -7744*f**4 Let a(s) = -51*s. Let n(p) = 23*p + 26*p + 26*p + 26*p - 100*p. Calculate n(a(b)). -51*b Let g(l) = 11*l + 2*l - 2*l - 10*l. Let q(z) = 5*z. What is q(g(c))? 5*c Let j(b) = -8*b. Let q(x) = 33106*x. Determine j(q(z)). -264848*z Let f(p) = p**2 - 3*p - 2. Let q be f(4). Let x(m) = 10*m**2 + 8*m**2 + 9*m**2 - 6*m**q. Let k(a) = a*
{ "pile_set_name": "DM Mathematics" }
-35*x**2 - 690*x - 391. What is p(-18)? 689 Let b(w) = 3063*w + 1114891. What is b(-364)? -41 Let g(b) = 4838*b - 38883. Give g(8). -179 Let c(b) = -2*b**3 + 451*b**2 + 1592*b + 2496. Calculate c(229). -23 Let q(u) = -173470*u - 3816312. What is q(-22)? 28 Let i(n) = -41*n**2 + 1067*n - 4921. Determine i(6). 5 Let c(u) = -40443*u - 161779. Give c(-4). -7 Let v(h) = -249*h**2 - 2817*h + 2816. What is v(1)? -250 Let f(x) = -x**3 - 13*x**2 - 97*x - 335. What is f(-4)? -91 Let z(r) = -26*r**3 + 26763*r**2 - 9250*r - 11320. What is z(1029)? -1 Let v(i) = -3*i**2 + 133*i - 483. What is v(4)? 1 Let h(g) = 10171*g + 103783. Give h(-10). 2073 Let i(l) = -346*l + 2524. What is i(9)? -590 Let k(i) = i**3 - 4*i**2 - 68*i - 81. What is k(-11)? -1148 Let s(h) = 2*h**3 + 26*h**2 + 1788*h + 15458. What is s(-9)? 14 Let j(c) = c**2 + 2778*c + 661412. Determine j(-263). -33 Let m(u) = 21*u**2 - 98*u + 36. Give m(6). 204 Let s(i) = -5*i**2 + 150*i + 190. Determine s(11). 1235 Let m(y) = -y**3 - 143*y**2 - 4065*y - 879. What is m(-104)? 57 Let r(g) = 842*g**2 + 4203*g - 12. Determine r(-5). 23 Let m(i) = -38*i**2 + 1697*i + 6813. What is m(-4)? -583 Let t(l) = -8*l**3 + 5*l**2 + 178*l - 185. Determine t(1). -10 Let r(h) = -7*h**3 - 231*h**2 - 204*h + 643. Determine r(-32). 3 Let c(d) = 808*d - 12651. Give c(16). 277 Let t(z) = 14*z**2 - 855*z - 5046. Calculate t(65). -1471 Let b(i) = -5382*i + 21382. Calculate b(4). -146 Let l(a) = 33*a**3 - 1090*a**2 - 2558*a + 85510. Give l(33). 7 Let u(x) = -42*x**2 + 181*x - 8. Give u(2). 186 Let u(o) = 152*o - 6250. Give u(49). 1198 Let n(y) = -23*y**2 - 5084*y - 280. Give n(-221). -59 Let x(u) = -2*u**3 - 110*u**2 + 3583*u + 180. Give x(23). 65 Let g(n) = -30762*n**2 - 61519*n + 3. Calculate g(-2). -7 Let h(j) = -j**2 + 7351*j - 1939092. Give h(274). 6 Let j(q) = -2*q**2 + 106*q + 2715. Give j(83). -2265 Let q(u) = u**3 - 63*u**2 - 50*u - 1117. Calculate q(64). -221 Let q(y) = -6547*y - 680918. What is q(-104)? -30 Let h(t) = -t**3 - 48*t**2 - 32*t - 221. Give h(-47). -926 Let v(c) = -95203*c + 572106. Determine v(6). 888 Let x(r) = -6210*r + 10787. What is x(3)? -7843 Let y(z) = 2*z**3 + 18*z**2 + 884*z + 7959. What is y(-9)? 3 Let c(j) = -1001671*j - 8013367. What is c(-8)? 1 Let r(b) = -b**2 - 16040*b - 176331. What is r(-11)? -12 Let w(j) = j**3 + 20*j**2 - 11*j - 969. Calculate w(-18). -123 Let c(z) = z**2 + 2479*z + 104719. What is c(-43)? -29 Let w(l) = -l**3 - 906*l**2 - 18571*l + 12398. Determine w(-885). 8 Let z(p) = 2*p**3 + 8*p**2 + 221*p + 1488. Give z(-6). 18 Let m(k) = k**3 + 329*k**2 + 2895*k + 4562. Give m(-320). -238 Let a(l) = -1469*l + 318840. Calculate a(217). 67 Let q(o) = -5071*o - 116643. Give q(-23). -10 Let x(j) = 491*j**2 - 1136*j + 654. What is x(1)? 9 Let a(m) = 453*m + 6272. Calculate a(-13). 383 Let p(g) = -g**3 - 127*g**2 + 1526*g + 179060. Calculate p(-128). 116 Let n(k) = 47868*k - 47700. Give n(1). 168 Let i(y) = -50*y**2 + 36*y - 1. Give i(2). -129 Let v(q) = -236*q**2 - 2684*q - 938. Determine v(-11). 30 Let i(r) = -r**3 + 12*r**2 + 110*r + 43. Give i(17). 468 Let l(q) = -1716*q + 139014. Give l(81). 18 Let n(l) = l**2 + 51*l - 813847. Calculate n(877). 9 Let k(u) = 239*u + 13152. Determine k(-55). 7 Let m(q) = -66*q**2 - 10863*q + 21723. Give m(2). -267 Let x(v) = 2*v**3 + 482*v**2 + 2379*v + 119. Calculate x(-5). 24 Let l(m) = m**3 - 4*m**2 - 1125*m + 6773. What is l(6)? 95 Let d(k) = -2*k**3 + 56*k**2 + 970*k + 48. Calculate d(-12). -72 Let q(f) = -7*f**3 - 137*f**2 - 210*f - 21. Determine q(-18). 195 Let n(p) = 3*p**2 - 3050*p + 51477. What is n(17)? 494 Let t(m) = -m**3 + 153*m**2 - 149*m - 529. Give t(152). -73 Let q(w) = 2*w**3 + 44*w**2 + 141*w + 93. Give q(-19). -420 Let z(y) = -14816*y - 29283. What is z(-2)? 349 Let f(w) = -703*w**3 + 6314*w**2 - 9*w + 14. Give f(9). -1120 Let w(f) = -f**3 - 3*f**2 - 8*f - 93. Determine w(-6). 63 Let x(z) = 19*z**3 - 2281*z**2 + 213*z - 11152. Calculate x(120). 8 Let v(d) = 74281*d - 371463. Calculate v(5). -58 Let x(k) = k**2 + 14321*k - 1094249. Give x(76). -77 Let k(h) = -h**2 + 140*h + 6272. Give k(-37). -277 Let g(d) = 5651*d - 197776. What is g(35)? 9 Let s(n) = 76*n**2 + 1391*n + 2780. Determine s(-2). 302 Let a(j) = -6933*j + 62393. Calculate a(9). -4 Let d(f) = -3603*f + 14636. What is d(4)? 224 Let t(r) = 168*r - 2858. Calculate t(11). -1010 Let y(r) = -r**2 - 20828*r + 104182. What is y(5)? 17 Let g(z) = z**3 + 23*z**2 - 45*z - 908. Calculate g(-22). 566 Let x(p) = 3*p**2 + 214*p - 7366. What is x(28)? 978 Let m(q) = 311023*q - 5287397. Determine m(17). -6 Let d(h) = 30*h**2 + 2621*h + 12352. Calculate d(-5). -3 Let r(p) = -p**3 - 2*p**2 + 611*p - 5521. What is r(9)? -913 Let o(c) = -3*c**3 + 19*c**2 - 23*c + 33. What is o(5)? 18 Let f(v) = -76*v - 9082. Determine f(-76). -3306 Let w(n) = 3*n**3 + 20*n**2 + 24*n + 72. What is w(-8)? -376 Let h(d) = -30*d**3 - 1211*d**2 - 447*d. Determine h(-40). 280 Let s(b) = 836914*b - 6695321. Determine s(8). -9 Let g(t) = 4*t**2 + 92*t - 80. Calculate g(0). -80 Let m(a) = -3*a**3 - 21*a**2 - 56*a - 19. Determine m(-3). 41 Let o(c) = c**3 + 75*c**2 - 329*c - 5647. Give o(-7). -12 Let t(v) = 2*v**3 - 46*v**2 + 459*v - 9367. What is t(22)? -237 Let f(q) = -16038*q + 1202792. Determine f(75). -58 Let k(j) = -198*j**3 - j**2 + 5*j + 25. Determine k(-2). 1595 Let g(r) = -r**2 + 362*r - 1835. Give g(5). -50 Let a(q) = -29*q**3 - 4*q**2 - 8016*q - 8014. What is a(-1)? 27 Let o(p) = -27*p**3 + 14*p**2 - 32*p + 10. Give o(2). -214 Let p(m) = 2*m**3 + 6*m**2 - 36*m + 68. Give p(2). 36 Let o(d) = 2488*d - 12317. Determine o(6). 2611 Let k(o) = -10*o**2 - 119*o + 320. Give k(7). -1003 Let b(n) = 541*n**2 - 892*n + 893. Give b(1). 542 Let q(y) = -y**3 + 31*y**2 - 589*y + 16783. Give q(30). 13 Let o(c) = -1502*c - 928212. Determine o(-618). 24 Let w(f) = 5*f**3 + 92*f**2 - 140*f + 272. Give w(-20). -128 Let p(y) = -39328*y - 157305. Give p(-4). 7 Let u(t) = t**3 - 124*t**2 + 247*t + 977. Give u(122). 1343 Let r(l) = 3*l**2 + 943*l + 37684. Give r(-47). -10 Let z(l) = 6138*l - 472768. What is z(77)? -142 Let c(l) = 544*l**2 - 5469*l + 278. What is c(10)? -12 Let c(l) = -l**3 - 300*l**2 - 847*l - 163850. Give c(-299). 2 Let s(h) = -1904*h + 9134. Calculate s(5). -386 Let y(i) = -9935*i + 57812. Calculate y(6). -1798 Let h(m) = -19*m**3 - 50*m**2 - 12*m - 19. Determine h(-3). 80 Let h(r) = -4*r**3 - 5053*r**2 + 3856*r + 80878. Calculate h(-1264). -18 Let w(v) = -94*v + 460. Give w(5). -10 Let n(y) = 3*y**3 + 2*y**2 - 149*y + 918. Calculate n(6). 744 Let o(z) = -29*z**2 - 4453*z - 11996. Determine o(-151). -822 Let w(f) = 73*f**2 - 4999*f - 2614. Give w(69). 8 Let u(o) = 2*o**3 - 33*o**2 - 645*o. Calculate u(-13). -1586 Let w(f) = -429*f - 21437. Determine w(-50). 13 Let b(t) = 4151*t + 50263. Give b(-12). 451 Let k(m) = m**3 + 42*m**2 + 79*m + 5844. What is k(-43)? 598 Let w(h) = 133936*h - 6964665. Give w(52). 7 Let u(g) = -2*g**3 + 728*g**2 + 718*g + 4403. Give u(365). 23 Let f(m) = -23688*m + 307942. Give f(13). -2 Let f(n) = 3659*n - 10975. What is f(3)? 2 Let g(i) = i**2 + 274*i + 6570. Calculate g(-247). -99 Let d(l) = l**3 - l**2 + 3522*l + 28165. Determine d(-8). -587 Let g(x) = -6*x**2 - 1050*x - 36571. Determine g(-48). 5 Let i(p) = -p**3 - 24*p**2 - 19*p - 149. Determine i(-22). -699 Let z(t) = -145605*t + 436840. Calculate z(3). 25 Let x(d) = d**2 + 301604*d + 2111184. What is x(-7)? 5 Let d(p) = -1521*p + 13397. Calculate d(9). -292 Let j(r) = -r**3 - 47*r**2 + 89*r - 5856. Give j(-51). 9 Let t(d) = d**3 + 156*d**2 + 573*d - 923. Give t(-5). -13 Let i(g) = g**3 - 108*g**2 + 870*g + 196. Calculate i(99). -1883 Let i(x) = -62*x**2 - 60*x - 340. Calculate i(-4). -1092 Let g(o) = -2676*o - 77580. Calculate g(-29). 24 Let d(z) = -475122*z - 5701456. Determine d(-12). 8 Let z(v) = -90*v**2 - 3775*v + 46. Give z(-42). -164 Let j(v) = 2855*v - 1025064. Determine j(359). -119 Let n(d) = -7017*d + 617424. Give n(88). -72 Let o(g) = 4*g**3 + 95*g**2 + 551*g + 13787. Calculate o(-24). -13 Let g(v) = v**3 - 16*v**2 + 70*v - 106. Determine g(3). -13 Let g(a) = -12*a**3 + 20*a**2 + 149*a - 150. Calculate g(-6). 2268 Let j(r) = 93*r + 553. Give j(-3). 274 Let v(w) = -665*w**2 - 3310*w + 29. What is v(-5)? -46
{ "pile_set_name": "DM Mathematics" }
+ 5*h**3 + 2*h**3 - h**3 - 2*h**3 + (h + 2 - 2)*(14*h - 14*h + 19*h**2). 22*h**3 Expand (-591 + 249 + 265)*(-3*n + 4*n - 4*n). 231*n Expand (-47*n - 730*n + 234*n)*(-4*n - n + 3*n). 1086*n**2 Expand (-3628*g + 3504*g - 21 + 28)*(2 - 3 + 2)*(2 - 2 - 2*g)*(5 - 3 - 4). -496*g**2 + 28*g Expand ((2 - 3 + 2)*(-4*k - 3*k + 6*k) - 5 + 5 - 2*k + 3*k - 5*k - k - 1 + 1 + 2*k - 10*k - 4*k - k)*(3*k**3 + 3*k**3 - k**3). -95*k**4 Expand (p**2 + 0*p**2 - 2*p**2 + (-10*p - 5*p + 44*p)*(p + p + 0*p))*(-140 - 81 + 127 - 138). -13224*p**2 Expand ((-3 + 5 - 1)*(-3*j**2 + 4*j**2 + 0*j**2) - 441 - 3*j**2 + 441)*(-28 + 10 - 7 - 1 + 4 - 1 + (1 + 1 - 3)*(-3 + 1 + 0)). 42*j**2 Expand (12*n**3 - 14*n**3 + 74*n**2 + 21*n**2)*(3*n + 0*n - n + (-2 + 2 + 2)*(2 + n - 2)). -8*n**4 + 380*n**3 Expand (-4*k**2 + 2*k**2 + 5*k**2)*(1 - k - 1) - 12*k**2 - 1978 + 5*k**3 + 1978. 2*k**3 - 12*k**2 Expand (-76*y**2 - 97*y + 97*y)*(-4 - 7 - 4)*(2*y - 5*y + 2*y). -1140*y**3 Expand (-17 + 29*b + 17)*(1 - 1 - 4*b**2 + (-1 + 1 + b)*(-3*b - 2*b + 4*b) - 2*b**2 + 2*b - 2*b) - 11*b**3 + 8 - 8. -214*b**3 Expand 1 - 1 - n**2 + (0*n + 2*n - 3*n)*((4*n + n - 4*n)*(-3 + 2 + 2) - n + 5*n - n) - 7*n**2 - 26 + 26. -12*n**2 Expand ((-70*u + 436*u + 352*u)*(-4 + 0 + 3) + 3*u + u - 3*u + (3 + u - 3)*(-2 + 2 + 1))*(u + 3*u - 3*u). -716*u**2 Expand (15*r - 9778 + 72*r + 9775)*(r + 3*r - 7*r). -261*r**2 + 9*r Expand (-39814*c + 20014*c + 20513*c)*(4*c - 4*c - c). -713*c**2 Expand (16*g - 7 + 7)*(11*g - 4*g + 3*g)*(-4*g**2 + 2*g**2 - 6*g**2). -1280*g**4 Expand -3*d - d + 5*d + (-3 + d + 3)*(1 - 2 + 0) - 2*d - 3*d + 3*d + d - 4*d + 7*d + (d + 2*d - d)*(1 + 0 + 2) - 9*d - 5*d - 2*d. -8*d Expand (0*i**4 - 4*i**4 + 9*i**4)*(3 - 2 + 1) - 36 - 22 + 1 + 3*i**4. 13*i**4 - 57 Expand (-2*z + 4*z - 6*z - 3*z + 0*z + z + (1 - 3 + 4)*(-1 + 1 - 2*z) + 12*z - 9 + 9)*(8*z**2 - 42*z + 42*z). 16*z**3 Expand (-4 + 2 + 0)*(-581 - 625 - 1414)*(5*n - 2*n - n). 10480*n Expand (1 - 1 - 1)*(-27 + 47 - 24)*(44*q + 7 - 133*q - 7) - 2*q + q + 0*q + (4 - 6 + 0)*(2*q - 2 + 2) + 3*q - 4*q + 2*q. -360*q Expand (-4*r + 2*r + r)*(2845*r**2 + 929*r**2 - 670*r**2). -3104*r**3 Expand (-1 + 0 + 3)*(-515 + 60 - 56)*(3*f - 2*f - 3*f - f - f + 3*f + (-4*f + 2*f + 3*f)*(0 + 2 + 0))*(-f - 3 + 3). 1022*f**2 Expand (3*x - 2 + 2)*(-28 + 21 - 24) + (-19 - 6 - 14)*(-3*x + 2*x + 3*x). -171*x Expand ((3 - 3 - 1)*(-1 + 2 - 2) + 1 + 3 - 5 - 2 + 3 + 2 - 91 + 333 - 764)*(-3*a**2 + 3*a**2 - 2*a**2). 1038*a**2 Expand (0 + 4 - 2)*(0 + 1 - 6)*(17 - 17 + 54*t). -540*t Expand (123 + 893 + 1178 + 357 - 579)*(-6*d + 2 - 2). -11832*d Expand (-19939039 - 5278*q + 19939039)*(4*q - 2*q - q). -5278*q**2 Expand (18*k - 8*k - 8*k - 5*k**2)*(174*k + 83*k - 56*k) + (0 + 0 - 2*k)*(0*k**2 + 3*k**2 - k**2) + 3*k**3 + 3*k**3 - 4*k**3. -1007*k**3 + 402*k**2 Expand (-113*c - 480*c + 82*c)*(10*c - 3*c**3 - 3*c**3 + 5*c**3). 511*c**4 - 5110*c**2 Expand (162 - 71 - 74)*(-6*u + 5*u + 28*u) + (0 + 0 - 2)*(-2*u + u + 4*u). 453*u Expand 3*f**5 + 11*f**2 - 11*f**2 + (0*f - 6*f + 3*f)*(-f - 6*f - 3*f)*(5*f**3 - 18*f**2 + 18*f**2 + (f**2 - f + f)*(0 + f + 0)). 183*f**5 Expand -34*k**4 + 27*k**5 + 34*k**4 + (2*k - 2*k - k**4)*(52*k + 64*k - 190*k). 101*k**5 Expand ((5*d + d - 5*d)*(1 + 1 + 5)*(-7 + 14 + 8) + 97 - 38*d - 97)*(-1 + 4*d + 1). 268*d**2 Expand (-34*o - 5*o - 54*o)*((0 + 1 + 0)*(2 - 2 - 2*o) + 3 - 4*o - 3). 558*o**2 Expand (2 - 2 - 3)*(1 + a - 1) + 232 + 11*a - 232 + (-2*a + a + 2*a)*(4 - 2 - 1) + 4 + 9 - a - 12. 8*a + 1 Expand -2*w**4 + 14*w**4 + 3*w**4 + (-16*w**2 + 3*w**2 - 16*w**2)*(-w**2 + 0*w**2 - w**2). 73*w**4 Expand (-14 - 114 - 102)*(-2*r + 16 - 7 - 4). 460*r - 1150 Expand (2 + 10 + 8)*(-9*q**2 + 0*q**2 + q**2) + 3*q**2 - 2*q**2 + 2*q**2 + 0*q**2 + 3*q**2 + q**2. -153*q**2 Expand ((2*g**2 - 2*g**2 - g**3)*(-27830 - 105*g + 27830) - g**4 + g**4 - 3*g**4)*(3*g - 4*g - g). -204*g**5 Expand ((-21 + 43 + 161)*(-3 + 1 + 1) + 1 - 3 + 1)*(2*f**2 - f**2 - 4*f**2). 552*f**2 Expand (-3 + 0 + 1 + (1 - 3 + 0)*(1 - 2 - 1) + 1 - 1 + 2 + (0 - 2 + 1)*(1 + 4 - 4) + 0 - 6 - 1)*(i + 3*i - 7*i). 12*i Expand -4*p**4 + 2*p**4 + 4*p**4 + (48*p**3 + 32*p - 32*p)*(1 + 2 + 1)*(-57 - p + 57). -190*p**4 Expand (-250 + 55 - 189)*(2*t + 3*t - t)*(2*t**2 - 2 + 0 + 0). -3072*t**3 + 3072*t Expand (-5 + 53 + 53)*(2*m - 5*m + 2*m)*(m + 3*m - 6*m)*(-1 - 3 + 3)*(10 - 97 - 139). 45652*m**2 Expand -331*n**4 + 32*n**5 + 331*n**4 + (-3*n**4 - 2*n**4 + 7*n**4)*(-5 + 2*n + 5) - n + n - n**5 + 68*n**2 + 9*n**5 - 68*n**2. 44*n**5 Expand (-6*w + 2*w + 12*w)*(5*w**2 - 20*w**2 - 17*w**2) + (-w - w - w)*(6*w**2 - 3*w**2 - 2*w**2). -259*w**3 Expand (-q**3 + 72*q**3 + 106*q**3)*(3 - 2 + 4)*(3*q + 0*q - q). 1770*q**4 Expand (-2*o**2 - o**2 + 2*o**2)*(-2*o + 3*o + 0*o) + 3*o**2 - 923*o**3 - 1027 + 656*o**3 + 266*o**3 + o. -2*o**3 + 3*o**2 + o - 1027 Expand -4*k**2 - 16*k**3 + 17*k**3 + 18*k**2 + (2*k**2 + 2*k**2 - 2*k**2)*(2*k - 51 + 204 - 1040). 5*k**3 - 1760*k**2 Expand (-34*y - 150*y + 54*y)*(0*y**2 - 3*y**2 + y**2 + y**2 - y**2 - 2*y**2 + (-2 + 2 - 1)*(-y**2 + 2*y**2 - 2*y**2)). 390*y**3 Expand -x**3 - x - 2*x + 0*x + (3*x - 3*x + 2*x + (-4 + 6 - 3)*(-2*x - x + x))*(190 - 515*x**2 - 190). -2061*x**3 - 3*x Expand (-14*w**2 - 54 + 54)*(21*w**2 + 1 - 10*w**2 - 7*w**2) + 3 + 2*w**4 - 3 + (4 + w**3 - 4)*(-2 + 2 + w). -53*w**4 - 14*w**2 Expand ((-6 + 3 + 4)*(-r**2 + 3*r**2 - 4*r**2) + 0*r**2 + r**2 + 0*r**2 - 1 + 5*r**2 + 1)*(4*r**2 + 17*r - 17*r). 16*r**4 Expand (-4 + 11 + 3)*(-1 - 2 - 436*k + 422*k). -140*k - 30 Expand (60 - c - 60)*(-143*c + 143*c + 18*c**2)*(-3 + 2*c + 3) + c**3 - 5*c**4 - 4*c**3 + 2*c**3. -41*c**4 - c**3 Expand (-16*n + 32*n + 25*n)*(-5*n + 2*n + n) + (0 + 2*n + 0)*(8 - 8 + n). -80*n**2 Expand -48*l**5 + 56*l**5 + 88*l**5 + (-4 - l**2 + 4)*(-3*l**3 - 3*l**3 + 4*l**3) + (0*l**2 - 4*l**2 + 3*l**2)*(3*l**3 - 2*l**3 + l**3) - l**5 + l**2 - l**2. 95*l**5 Expand (-18*w - 10*w - 44 + 30*w)*(w + w**2 - w)*(29*w + 1 - 3 + 0). 58*w**4 - 1280*w**3 + 88*w**2 Expand (n + n + 0*n)*(n**2 + 3*n**2 - 3*n**2) + n**3 + 0 + 0 + 255480 - 255480 - 614*n**3 + 2*n. -611*n**3 + 2*n Expand (0*u + u - 4*u)*(26*u - 72*u - 19*u) - 603 - 10*u**2 + 587 + 0*u**2. 185*u**2 - 16 Expand (-54*c - 57*c + 3*c)*(9*c**3 - 26*c**3 - 10*c**3). 2916*c**4 Expand (i - 5*i + 3*i)*(-i**3 + i**3 - i**4) + (4*i - 3*i + 2*i)*(0*i - i + 3*i)*(157*i**2 + 5*i**3 + i + 2 - 157*i**2). 31*i**5 + 6*i**3 + 12*i**2 Expand (6*v + 4*v - 3*v)*(-7*v**4 - 26*v**3 + 26*v**3) + 46*v**5 - 125*v + 125*v + (-3*v**2 + 3*v**2 + v**3)*(v**2 - 2*v**2 + 0*v**2) - 1 + 1 - v**5. -5*v**5 Expand 2208 + 14*v**2 - 1080 - 1047 + (-1 + 1 + 2*v)*(-v + 3*v - 3*v). 12*v**2 + 81 Expand (-2*q**4 - 3 + 3)*(3692*q + 4679*q + 4971*q - 625*q) + 3*q**5 + q**5 - q**5. -25431*q**5 Expand -t + t**3 + t + (0*t - t + 0*t)*(t**2 + 2*t**2 - 4*t**2) + 47*t**3 - 44*t**3 - 677*t - 4*t**2 + 628*t. 5*t**3 - 4*t**2 - 49*t Expand (-k + 10*k + 6*k)*(2 + 3 - 3) + 6 - 6 - 37*k + 4 + 10*k - 4 + (2 - 5 + 1)*(-k + 0*k - k) - k + 2*k + k. 9*k Expand -4*q**2 + 4*q**2 - 2*q**2 + (5*q - 3*q + 0*q)*(-4*q + q + 2*q) - 2*q**2 + 3 - 3 - q**2 + q**2 + 12*q**2 - 4991 + 166*q**2 + 4991. 172*q**2 Expand (-3 + 3 - 1)*(2*y - 6*y - y)*(33 - 18 + 25)*(4*y - 4*y - y**4). -200*y**5 Expand (-80 + 86 + 111)*(-2 - 272*u**2 - 28*u**3 + 272*u**2). -3276*u**3 - 234 Expand (-4*h + h + 2*h + (0 - 10 + 4)*(-4*h + h + h) - 4*h + 6*h + 3*h)*(2*h**2 + 3*h - 3*h). 32*h**3 Expand (3*t - 1 + 1)*(0*t**3 + 2*t**3 - 3*t**3)*(-3 - 1 + 2 + (8 - 63 - 4)*(-1 + 3 + 0))*(-1 + t + 1). 360*t**5 Expand (-7*m**3 - 12*m**3 + 4*m**3)*(-39*m**2 + 41*m**2 - 43 - 7). -30*m**5 + 750*m**3 Expand (-6*k**3 + 4*k**3 + 4*k**3 + (0 + 0 - 2*k)*(-k**2 + 0*k**2 + 3*k**2) + k**3 + k - k)*(34*k - 17*k**2 - 34*k). 17*k**5 Expand (-27 - 83*s + 40*s + 42*s)*(9*s + 1197*s**2 + 162*s**2 - 5*s - 4*s). -1359*s**3 - 36693*s**2 Expand (9 + 25 + 103)*(-2 - 4*z + 2). -548*z Expand (-71*c**2 - 42*c**2 - 2*c + 67*c**2)*(0*c + 2*c - 4*c). 92*c**3 + 4*c**2 Expand (-1 + 2 + 0)*(-993 - 407*i + 997 - 111*i). -518*i + 4 Expand (-a**2 + 3*a**2 - 3*a**2)*(a - 4*a + 2*a) + 2*a - 2*a - 127669*a**3 + 115521*a**3. -12147*a**3 Expand -939*s**2 - 10596*s**2 - 952*s**2 - 590*s**2 - 2*s**2 + 0*s**2 + 3*s**2 + (-3 - 2 + 4)*(0*s - 2*s**2 + 0*s). -13074*s**2 Expand (-b - 4*b - 2*b)*(3 - 3 - 2*b + 1)*(-62 +
{ "pile_set_name": "DM Mathematics" }
15*k**3 + 0 - 1/5*k**2 - 1/30*k**4 - 13*k. Factor i(o). -2*(o - 1)**2/5 Let f(v) be the third derivative of v**6/10 - 7*v**5/15 + 361*v**2 + 2*v. Suppose f(k) = 0. What is k? 0, 7/3 Let b = -172 - -296. Let -9*y + 14*y - 5*y - 170*y**4 + b*y**3 + 25*y**5 - 24*y**2 = 0. What is y? 0, 2/5, 6 Factor 25*h**3 - 24*h**3 - 1821*h + 1776*h - 4*h**2. h*(h - 9)*(h + 5) Let i(b) be the third derivative of -b**7/1400 - b**6/600 + b**5/100 + 2*b**3 - 12*b**2. Let v(r) be the first derivative of i(r). Let v(m) = 0. Calculate m. -2, 0, 1 Let w(c) = 6*c**3 + 56*c**2 + 380*c + 576. Let x(o) = 7*o**3 + 57*o**2 + 379*o + 576. Let p(f) = 5*w(f) - 4*x(f). Find v, given that p(v) = 0. -12, -2 Let o(u) = -u**4 - u - 1. Let j(h) = -2*h**4 - 2*h**3 - 12*h**2 + 15*h + 24. Let m(p) = j(p) - 3*o(p). Determine x so that m(x) = 0. -3, -1, 3 Let d(o) be the third derivative of -11*o**5/240 + 119*o**4/96 + 11*o**3/12 + 177*o**2. Find c, given that d(c) = 0. -2/11, 11 Let v(s) = 3*s**2 + 27*s - 24. Suppose -2*z = 4*n + 26, 2*z + z + n = -24. Let q(y) = 4*y**2 + 28*y - 25. Let h(p) = z*v(p) + 6*q(p). Solve h(f) = 0 for f. 1, 6 Let h be 81/972 + 2/12. Solve 0*m - 1/4*m**3 - h*m**2 + 1/4*m**4 + 1/4*m**5 + 0 = 0. -1, 0, 1 Let p(o) = 4*o**2 - 572*o - 1155. Let c be p(145). Determine w, given that -13/5*w**3 - 6/5*w**4 - 12/5*w**2 - 1/5*w**c - 4/5*w + 0 = 0. -2, -1, 0 Let m = 133 - 1329/10. Let a(f) be the first derivative of -3*f**3 + 7/8*f**4 - 4*f + 5*f**2 - m*f**5 + 4. Let a(o) = 0. What is o? 1, 2 Let f(y) = 115*y + 2990. Let r be f(-26). Find t such that 0*t + r + 6/7*t**3 - 4/7*t**2 + 6/7*t**5 + 16/7*t**4 = 0. -2, -1, 0, 1/3 Let m(f) be the first derivative of 12*f**5/5 - 10*f**4 + 12*f**3 - 4*f**2 - 130. Factor m(z). 4*z*(z - 2)*(z - 1)*(3*z - 1) Let u be (58 - 69) + (-55)/(-4). Let y(d) be the third derivative of -d**3 + 8*d**2 + 0 + 0*d - 121/40*d**5 - u*d**4. Factor y(j). -3*(11*j + 2)**2/2 Let s(t) be the second derivative of -t**7/168 - t**6/24 - 3*t**5/80 + 13*t**4/48 + t**3/3 - 3*t**2/2 + 36*t + 1. Determine b, given that s(b) = 0. -3, -2, 1 Let x be (-46)/(-115) + 8/(-20). Let s(h) be the third derivative of 1/180*h**5 - 6*h**2 + 0 + x*h**4 + 0*h - 1/360*h**6 + 0*h**3. Solve s(b) = 0 for b. 0, 1 What is k in -3 + 3 + 2 - k**2 + 355*k - 356*k = 0? -2, 1 Suppose -5*b - 7 = -3*a - 34, 0 = -5*b + 2*a + 23. Let t(m) be the first derivative of -3*m**2 + 5 - 3*m**4 - 4*m**3 - 5*m**3 + b*m**3 - 3*m**3. Factor t(r). -3*r*(r + 2)*(4*r + 1) Let f be (-9)/36*-16*(-1)/(-3). Let y = 137/3 - 45. Suppose -f*b + 2/3*b**3 + 0 + y*b**2 = 0. Calculate b. -2, 0, 1 Let a(f) be the second derivative of -3*f**6/40 - 21*f**5/80 - 5*f**4/16 - f**3/8 + 148*f - 2. Factor a(s). -3*s*(s + 1)**2*(3*s + 1)/4 Let v be 172/(-6) + (-6)/(-27)*-6. Let l = -28 - v. Let 0 - 21/4*y**l + 3/2*y - 9/4*y**4 + 6*y**3 = 0. What is y? 0, 2/3, 1 Let v(a) be the second derivative of 0 + 9/5*a**2 + 30*a - 1/20*a**4 + 1/10*a**3. Suppose v(o) = 0. Calculate o. -2, 3 Let w(u) = -u**2 + 7*u + 10. Let l be w(8). Find b such that -4*b**3 - 6*b**3 + 16*b**3 - l*b**4 + 9*b**2 - b**2 = 0. -1, 0, 4 Suppose -3*v + 2 = 8. Let y(i) = i**2 - i - 3. Let p be y(v). Find g such that 8*g**5 + 0*g**3 + 8*g - 6*g**p + 0*g**3 - 32*g**2 + 22*g**4 = 0. -2, 0, 1/4, 1 Let p = 45782/3 + -15260. Factor 5/6*m**2 + 0 + 0*m - 1/6*m**4 + p*m**3. -m**2*(m - 5)*(m + 1)/6 Let n(g) = g**3 + 4*g - 3. Let q be ((-12)/8)/(6/(-8)). Let d be n(q). Let -r - 3*r**4 + 31*r**3 - 40*r**3 + d*r = 0. What is r? -2, 0, 1 Let w = -42 + 44. Find g such that g**w - 3*g**2 + 6*g**2 - 3*g**3 + 2*g**2 = 0. 0, 2 Suppose -d - 8013 = -8013. Solve 0 - 1/2*x**2 + d*x**3 + 1/6*x**4 - 1/3*x = 0. -1, 0, 2 Suppose 133*t + 42*t = 525. Factor -48/5*y**2 - 12/5*y**4 + 24/5*y - 4/5 + 8*y**t. -4*(y - 1)**3*(3*y - 1)/5 Let w(b) be the second derivative of 4*b**6/15 - 3*b**5/10 - b**4/6 - 6*b + 13. Let w(j) = 0. Calculate j. -1/4, 0, 1 Suppose -p - 2*l + 22 = 0, 0*p + 5*l = -4*p + 73. Let j = -10 + p. Find n such that 2*n**4 + n**2 + n**2 - 2*n**j = 0. 0 Let m be 1/(-3)*(-11 - 1). Let k(g) be the second derivative of 6/5*g**2 + 2*g + 0 - 2/5*g**3 + 1/20*g**m. Factor k(p). 3*(p - 2)**2/5 Let v(z) be the first derivative of z**6/27 + 22*z**5/45 + z**4/2 - 238*z**3/27 + 98*z**2/9 - 208. Let v(g) = 0. Calculate g. -7, 0, 1, 2 Suppose 5*v - 59 = -49. Factor 2*m**v - 3*m + 5*m - 6*m + 2*m**3. 2*m*(m - 1)*(m + 2) Let v be (-504)/224*(-8)/9. Factor -15/2 + 3/2*p**v + 6*p. 3*(p - 1)*(p + 5)/2 Find w such that -7759 - 928 - 25837 + 362*w**3 - 4*w**4 + 113400*w - 19476 - 10980*w**2 = 0. 1/2, 30 Let y(c) be the first derivative of -4 - 1/3*c**3 + 2*c + 1/18*c**4 + 0*c**2. Let g(i) be the first derivative of y(i). Find t such that g(t) = 0. 0, 3 What is x in -11*x**5 + 22*x**3 + 24*x**5 + 24*x**2 - 17*x**5 - 8*x**4 - 2*x**3 = 0? -3, -1, 0, 2 Let x be (-16)/(-10) - 56/(-40). Let p(r) be the first derivative of 3 + 1/20*r**4 - 1/10*r**2 + 0*r**x + 0*r. Factor p(v). v*(v - 1)*(v + 1)/5 Let x(p) be the first derivative of -3*p**5/20 - p**4 - 5*p**3/2 - 3*p**2 - 10*p + 15. Let r(b) be the first derivative of x(b). Suppose r(m) = 0. What is m? -2, -1 Let p(a) = 8*a - 68. Let x(d) = d**3 - 20*d**2 + d - 11. Let q be x(20). Let i be p(q). Let 8/5*g**i - 2/5*g + 14/5*g**3 + 0 + 4/5*g**2 = 0. Calculate g. -1, 0, 1/4 Let s be 1 - -1 - (7 + -8). Suppose 0 = -4*o + 2*l + 14, -4*o + 25 - 6 = 3*l. Determine i, given that 2/5*i**s + 0 + 2/5*i**o - 2/5*i - 2/5*i**2 = 0. -1, 0, 1 Let x(s) be the second derivative of -s**6/2340 - s**5/780 - s**3 - 11*s. Let w(u) be the second derivative of x(u). Factor w(f). -2*f*(f + 1)/13 Let f = -3 + 15. Suppose 2*j - f = -2*j. Factor -12*m**j + 147*m**4 + 7*m**2 + 96*m**3 - 4*m**2 + 9*m**2. 3*m**2*(7*m + 2)**2 Let y = -127 - -134. Let h(r) be the third derivative of -11/105*r**5 + 2/21*r**4 - 6*r**2 + 0 - 3/245*r**y + 2/35*r**6 + 0*r - 1/21*r**3. Factor h(k). -2*(k - 1)**2*(3*k - 1)**2/7 Let x be 8/(-32)*-1*0. Let b(d) be the second derivative of 0 - 6*d - 1/180*d**6 - 1/60*d**5 - 1/72*d**4 + x*d**3 + 0*d**2. What is f in b(f) = 0? -1, 0 Let g = -145 + 151. Let o(m) be the third derivative of 2*m**2 + 0*m + 1/450*m**5 - 1/45*m**3 + 1/450*m**g - 1/90*m**4 + 0. Factor o(r). 2*(r - 1)*(r + 1)*(2*r + 1)/15 Let m = -83/144 + 11/16. Let l(p) be the second derivative of m*p**3 + 1/3*p**2 + 7*p + 1/72*p**4 + 0. Find n such that l(n) = 0. -2 Factor -39 + 13*f**2 - f**3 - 35*f - 14 + 0*f**3 + 4. -(f - 7)**2*(f + 1) Solve 108/5*c + 2/5*c**2 + 0 = 0. -54, 0 Suppose -85*v + 18 = -82*v. Let j(l) be the second derivative of 0*l**2 - 1/12*l**4 + 7*l + 1/30*l**v + 0 - 1/20*l**5 + 1/6*l**3. Factor j(g). g*(g - 1)**2*(g + 1) Let j(i) be the second derivative of -5/12*i**3 + 2*i + 0 - 1/4*i**2 - 3/32*i**4. Factor j(f). -(f + 2)*(9*f + 2)/8 Let d(h) be the second derivative of -11*h**5/25 + 7*h**4/3 - 4*h**3/5 + h + 5. Factor d(w). -4*w*(w - 3)*(11*w - 2)/5 Solve -294 - 14*k - 1/6*k**2 = 0. -42 Factor 4 - 5 + 3025*o**2 - 330*o + 3 + 6 + 1. (55*o - 3)**2 Suppose 5*q + 3*v = -0*q + 21, 2*v - 1 = q. Let g + 1/4*g**q + 0 - g**2 = 0. What is g? 0, 2 Let a = 462 - 459. Let z(y) be the first derivative of 0*y**2 + 8/25*y**5 - 4 + 0*y + 2/15*y**a - 7/20*y**4 - 1/10*y**6. Determine k, given that z(k) = 0. 0, 2/3, 1 Let r(n) be the third derivative of -5041*n**7/1890 + 497*n**6/27 - 1586*n**5/45 - 140*n**4/27 - 8*n**3/27 - 83*n**2. Determine k so that r(k) = 0. -2/71, 2 Let k(y) be the first derivative of 2/5*y**2 + 7/30*y**4 + 1/25*y**5 + 5 - y + 7/15*y**3. Let w(l) be the first derivative of k(l). Factor w(a). 2*(a + 1)*(a + 2)*(2*a + 1)/5 Let w be (0/3 + 7)/(-1). Let b be -1*17/(-21) + 1/w. Factor -1/3*k**4 - 4/3*k**3 - 5/3*k**2 - b*k + 0. -k*(k + 1)**2*(k + 2)/3 Let d(h) = h**2 - 5*h + 3. Let c be d(5). Suppose 3*v - 16 + 1 = -5*x, 5*v + 9 = c*x. Determine p, given that -p**3 + p + x*p**2 - 5 - p**2 + 3 = 0. -1, 1, 2 Let y = 3137/4 + -784. Solve -y*r**4 + 1/4*r**3 + 3/4*r + 5/4*r**2 + 0 = 0. -1, 0, 3 Let y(u) be the first derivative of -144*u**4/5 - 176*u**3/5 + 47*u**2/10 - u/5 + 19. Factor y(o). -(o + 1)*(24*o - 1)**2/5 Let x(u) be the third derivative of u**5/300 - 3*u**3/10 - 129*u**2. Factor x(l). (l - 3)*(l + 3)/5 Let s = -2/8691 - -86936/112983. Factor -8/13 + 16/13*b + s*b**2. 2*(b + 2)*(5*b
{ "pile_set_name": "DM Mathematics" }
+ 3 = l, -4*g - 4 = 5*l for g. -1 Solve -4*x - 24 = -4*r, 4*r - 3*r = -5*x - 18 for r. 2 Solve -11 = -5*y - c + 7, -2*c - 4 = 0 for y. 4 Solve -3*l + 22 = 4*d, -4*l + d = 4*d - 20 for l. 2 Solve -78 = 4*n + o - 73, 23 = -4*n + 5*o for n. -2 Solve -7 - 6 = 5*d + 4*l, -3*d - 4*l - 3 = 0 for d. -5 Solve -2*z - 3*w - 15 = -0*w, -5*w = 25 for z. 0 Solve 0*f - f - 4 = 3*m, -f = 4*m + 5 for m. -1 Solve -2*n - 2*f - 6 = 0, 5*n + 6 = -f - 9 for n. -3 Solve 0 = 5*k - 4*q - 25, 3*q + 46 = -2*k + 33 for k. 1 Solve 0 = -3*r + 2*u + 9, 2*r = -u + 6 - 7 for r. 1 Solve -5*a + 20 = -4*d, -d - 3*d - 4 = -a for d. 0 Solve -4*y + p = 25, 0*y = y - 3*p + 20 for y. -5 Solve n - v = 0, 0*v = -2*n - 2*v - 16 for n. -4 Solve -3*z = -5*t + 8, -22*t + 23*t = -z + 8 for z. 4 Solve 4*z - 16 = 0, -3*n - 2*z - 5 - 2 = 0 for n. -5 Solve 0 = t + 5*r - 3, -42*r = 5*t - 37*r + 5 for t. -2 Solve 11*m - 21 = 8*m - 3*y, -y = -5 for m. 2 Solve -2*y = 4*o - 2, -4*o - 8 = -17*y + 21*y for o. 3 Solve -x - 7 = -z, -15 = 2*x + x for z. 2 Solve k + k - 4*p = 12, 0 = -k - 2*p - 14 for k. -4 Solve -26 = -3*o - 27*r + 31*r, 5*r = 5*o - 35 for o. 2 Solve j - 10 = -5*d, 3*d - 11*j - 8 = -12*j for d. 1 Solve j = 2*r - 1 - 0, -4*j = 2*r - 16 for r. 2 Solve f - 4*r = 20, 8 + 2 = -3*f - 2*r for f. 0 Solve 4*l + 3 = 3*a - 8, -3*a + 16 = l for l. 1 Solve -6 = -2*k - 2*l + 2, k = 2*l - 11 for k. -1 Solve -8*u + 11*u + 2*g = -3, 0 = 2*g - 6 for u. -3 Solve -2*d = -7*d + 2*x, -4*d - 4*x + 28 = 0 for d. 2 Solve -2*d = -f - 9, 6*f - 8*f = 5*d - 9 for d. 3 Solve -4*k + 11 = -3*o, 15*k + 4*o + 25 = 10*k for k. -1 Solve h + 48*i = 43*i - 9, -4*h = -i + 15 for h. -4 Solve 0 = -3*c + 3*f, 3*c - f = 11 - 19 for c. -4 Solve 6 = 3*x + 3*y, -5*x - y + 3*y = 18 for x. -2 Solve -7*i + 6*i = -5*p + 24, 6 = p + i for p. 5 Solve k + 4*y - 2*y - 8 = 0, 0 = 3*y - 6 for k. 4 Solve -5*d - 7*b = -5*b + 18, -3*d + 4*b = 16 for d. -4 Solve -2*m + 6 - 2 = -3*v, 3*m = v - 8 for v. -4 Solve 0 = -4*j - b + 15, 3*j - 35 = 7*b - 3*b for j. 5 Solve -20 = -3*q + 2*k, 2*k = -12*q + 16*q - 24 for q. 4 Solve 14 = -4*b - b + 3*q, 0 = -4*b - 5*q + 11 for b. -1 Solve -2*s = 3*p - 8, -5*s + s + 4 = 3*p for p. 4 Solve -2*b + p - 10 = 0, 5*b - 4*p + 24 = -2*p for b. -4 Solve -5*l + 15 = 0, 2*t = -2*l - l + 15 for t. 3 Solve 0 = -j + 3*w + 1, -2*w = 6*j - 4*j - 10 for j. 4 Solve 0*w = -l - w - 10, 3*w + 15 = 0 for l. -5 Solve 0 = -4*q + 5*t - 10, -2*q - 2*t = -4*q - 4 for q. 0 Solve -2*p - 12 - 16 = 4*q, 0 = 2*p + q + 13 for p. -4 Solve -s = 3*d + s - 3, 8 = -5*d + s for d. -1 Solve k + k - g + 3 = 0, 5*k + 3*g + 35 = 0 for k. -4 Solve a + 23 = 5*k, -k - 34 = 4*a - 26 for a. -3 Solve 3*n - i + 35 = 3*i, 5*n + 2*i = -15 for n. -5 Solve 5*g + 25 = -3*p, 10*p - 15*p + 3*g - 19 = 0 for p. -5 Solve h + 4 = -2*r, 4*r = -0*r - 16 for h. 4 Solve -8 = 2*o, 3*o = 3*y - 35 + 11 for y. 4 Solve -3*n = -2*d + 15, -5*n + 2*n - 15 = -4*d for d. 0 Solve -2*g = -7*g - 4*o - 13, g - 4*o + 17 = 0 for g. -5 Solve 10*b + 3 = 5*p + 6*b, 2*p + 2*b = -6 for p. -1 Solve -5*m + 11 = -2*r + 7, 5*r = -5*m - 10 for r. -2 Solve 0 = 4*a + 2*v - 8, -22*v + 18*v = 4*a - 4 for a. 3 Solve -4*v + 4*r - 7 = 5, 3*r - 17 = 5*v for v. -4 Solve 0 = 4*h + h + 5*z, -3*z + 5 = -2*h for h. -1 Solve q + 17 = -5*l, 3*l + 2 = -3*q - 1 for q. 3 Solve 2*l = 0, 0 - 3 + 0 = -x - 2*l for x. 3 Solve -4*o - 21 = 3*x, 2*o - x + 243 = 230 for o. -6 Solve -1656*a + 1652*a - 5*x + 4 = 0, a - x = 1 for a. 1 Solve -2 = 3*u - 4*c + 1, 0 = -5*c - 15 for u. -5 Solve -4*s = 5*q + s + 5, 3*s = 5*q - 35 for q. 4 Solve -4*t + 8 = s, -3*t = s - 0 - 7 for t. 1 Solve 4*a = 7*a - 2*t - 1, 24 = -3*a - 3*t for a. -3 Solve 5*u + 3*t = 0, -4*t - 6 = 5*u - 11 for u. -3 Solve -5*s = 5*p - 44 + 29, 0 = -2*s + 4*p + 6 for s. 3 Solve -5*c + 42 = s + 62, s + 8 = -c for s. -5 Solve 4*r - 3*d = -11, -3*r + 25 = -4*d + 42 for r. 1 Solve 4*h + 2*u + 22 = 0, -h - 27 + 9 = 3*u for h. -3 Solve 28 = -4*z - 4*g, z - 4*g + 1 = 14 for z. -3 Solve 3*f + 19 = -m, 5*f + 7*m + 41 = 3*m for f. -5 Solve 0*a + a - 5*i = -9, -5*i = -5*a - 25 for a. -4 Solve 5*v + 12 + 3 = 0, 5*r - 2*v = 31 for r. 5 Solve 2*l + 7 = -3*u + 6, 0 = -4*l + 4*u + 8 for l. 1 Solve m + 2*t = -t + 2, 10 = 5*m - 4*t for m. 2 Solve 4*j = -4*m - 12, m = -m + j + 3 for m. 0 Solve 0 = 4*m + 3*o - 4*o - 13, -3*o - 15 = 0 for m. 2 Solve 0 = 2*v - 0*v - 4*y + 20, 5 = y for v. 0 Solve -c = -2*c - 4, 2*d - c = -2*d for d. -1 Solve -u = x, 3*u + 0*u = -5*x + 8 for u. -4 Solve -v + 8 = -4*z - 4*v, z + 2 = -5*v for z. -2 Solve 2*v - 6*v + 9 = -y, v = -2*y for v. 2 Solve 4 = -2*m + 2*o, -m - 5*m + 4*o = 16 for m. -4 Solve -w = -3, 0 = -3*o + 4*w - 0*w for o. 4 Solve -2*z = -2*f - 4, 2*f + z = -21 + 23 for f. 0 Solve -9*r + 14*r = -c - 20, 2*r = -2*c for c. 5 Solve -16 = 3*v - 4*v + 3*c, -c - 6 = -v for v. 1 Solve -5*d = -2*x - 6, 3*x = 4*d - 3*d - 9 for d. 0 Solve 2*h + 2*j + 11 - 3 = 0, -j - 6 = 3*h for h. -1 Solve a - 17 = -5*z, 4*a + 5*z - 5 = 9*a for a. 2 Solve 2*d + 2*p - 10 = 0, -3*d = 5*p - 0*p - 15 for d. 5 Solve 0*y - 14 = 2*y + 4*t, 5*y + t = 1 for y. 1 Solve -3*t + 7*t - 3 = w, 0 = 2*t + 3*w - 5 for t. 1 Solve -4*y + 10 - 4 = 5*k, 14 = -3*k + 2*y for k. -2 Solve 0 = -6*b + 5*b - 2*w + 10, 0 = -3*b - 5*w + 23 for b. -4 Solve -2*k - 3*o = -0*o, 0 = 2*o for k. 0 Solve 2*f - 6 = -4*v, -38*v - 15 = -42*v + f for v. 3 Solve 0 = 5*g + 4*w - 4, -3*g - g = -3*w + 3 for g. 0 Solve 3*w - 3*n = 0, 4*n + 4 = 7*w - 4*w for w. -4 Solve 5*r - 34 = 2*q, -r + 26*q - 31*q - 4 = 0 for r. 6 Solve 4*h + 9 = -5*j, 3*h - 4*j + 6*j = -5 for h. -1 Solve -2*i = -2*h - 2*h + 14, 30 = -5*i + 5*h for i. -5 Solve 0 = -4*j + 4*w - 12 + 16, 0 = -5*j + w + 25 for j. 6 Solve 5*a = l + 38, -4*a - 36*l + 33*l + 19 = 0 for a. 7 Solve -6*x + 4*n = -5*x - 18, 4*n + 22 = -x for x. -2 Solve -3*k + 5*y = -8, 2*y + 11 = -3*k - 9 for k. -4 Solve 4*r + 9 = 3*k, 3*r + 7 + 0 = 2*k for k. -1 Solve 2*j + 11 = 4*b - 1, 0 = -b - j for b. 2 Solve -3*a = -4*l - 10, -2*a - 2 = -3*a for l. -1 Solve 4*o - q = -1, 10*o - 8*o - 5*q - 13 = 0 for o. -1 Solve -2 = -27*f + 25*f - 5*j, 0 = 3*f + 2*j + 8 for f. -4 Solve -2*a + 12 = -4*k, -a + 0*a + 5*k = -15 for a. 0 Solve -g = 2*j - 11, -2*j + 4 + 10 = 4*g for j. 5 Solve l - 3*b - 13 = -0*b, -17 = 3*l + 5*b for l. 1 Solve k = -2*l + 2, 1 = -29*k + 25*k - 5*l for k. -4 Solve 3*x - 11*n = -12*n + 6, 16 = x + 5*n for x. 1 Solve -6 = 2*j + 5*n - n, -2*j = -4*n + 14 for j. -5 Solve 30*c - 31*c - 3*m + 11 = 0, 3*m = -2*c + 16 for c. 5 Solve -4*t + 16 = 0, t = -5*x - 6 - 10 for x. -4 Solve 2*r = 2*l + 7*r - 18, -2*r = 4*l - 20 for l. 4 Solve -12 = -2*h + 6*h - 3*p, -3 = h - 3*p for h. -3 Solve 4*t + 20 = 5*v, -10*v + 5*v + 25 = -5*t for v. 0 Solve -2*m = 2*g + 2, m + g = 4*m - 1 for m. 0 Solve -4*z + 42 = -4*u + 10, u + 2*z - 7 = 0 for u. -3 Solve 3*f + 3*t = 5*f + 23, 3*f - 4*t + 32 = 0 for f. -4 Solve 1 = -2*n + 2*c - 9, -5*n - 3*c - 9 = 0 for n. -3 Solve -l - 2 = -2*u, -2*l = l - 5*u + 4 for l. 2 Solve -2*t - 10 = -3*g, -2 = -2*g + t + 4 for g. 2 Solve -5*i + 2*n + 13 = 4, -9 = -3*n for i. 3 Solve -x + 4*n + 4 = 0, 12 = 3*x + 225*n - 229*n for x. 4 Solve 0 = -m + 4*n + 24, -19 + 5 = -m + 2*n for m. 4 Solve -3*x = 4*n - 13, -x = -n - 2*x + 4 for n. 1 Solve 222*z - 8 = -3*j + 224*z, -12 = 4*j + 3*z for j. 0 Solve 2*z = -3*t + 11 - 18, 8 = -4*t - 3*z for t. -5 Solve 12*d - 1 = -s + 15*d, 16 = -2*s - 3*d for s. -5 Solve 20 = 5*v, 3*m - 4*v - 1 + 20 = 0 for m. -1 Solve -4*q = -12 + 4, 5*a + 2*q + 16 = 0 for a. -4 Solve 2*b + 2*i + 4 - 2 = 0, -i = 3*b + 5 for b. -2 Solve 21*p = 26*p - 4*j + 11, -4*p = 3*j - 16 for p. 1 Solve -4*v = -5*z + 7 - 31, v = z + 5 for v. 1 Solve 3*u - 12 = -5*p, 5*u + 15*p - 10*p = 20 for u. 4 Solve 2*k - 24 = 5*h - 11, -3*h + 4*k = 5 for h. -3 Solve 3*v + 3*i - 34 = -2*i, -2*v - 3*i = -21 for v. 3 Solve -x = -4*o + 42 - 18, 3*o = -3*x + 3 for x. -4 Solve -26*m - 8 = 4*p - 22*m, 0 = -p + 4*m + 18 for p. 2 Solve 2*v - 6 = 4*n + 2, 5*v - 20 = n for v. 4 Solve -4*c + a + 19 = 0, 4 = 4*c - 11*a + 15*a for c. 4 Solve -18*s - 4 = -14*s + q, 5*s - 2*q = -18 for s. -2 Solve 3*a - 8 = -n, -4*n + 17 = -7*a + 4*a for n. 5 Solve -2*m - 8 = -2*l, 7 = -4*l - m + 18 for l. 3 Solve -5*c = 25, -4*c - 15 = 5*y - 5*c for y. -4 Solve 5*n + 25 = 5*g, 14 = -3*n + 2 for g. 1 Solve -3*
{ "pile_set_name": "DM Mathematics" }
-691.770935418 Calculate 2058503 + -56183981. -54125478 Add together 57699146.7665 and -3. 57699143.7665 Calculate -1 - 8400382926.7. -8400382927.7 0.31321348094+6543 6543.31321348094 What is -1.827789 + 14741.6? 14739.772211 Calculate -8070408.06 + -11.58. -8070419.64 What is 18 plus -20229931844? -20229931826 Calculate -0.7526 - 0.138151671. -0.890751671 Put together 41781467444 and 0.18. 41781467444.18 What is -7724618886597 plus 57? -7724618886540 What is -2452799762.5 less than -7? 2452799755.5 Add 16168 and -1.75440374. 16166.24559626 163881504.7+0.1085 163881504.8085 -1890332 - -73764911 71874579 Sum 326173827 and 485.021. 326174312.021 Calculate 1215327 - 133.87988. 1215193.12012 Sum -0.2 and -880018988.7. -880018988.9 What is 10.7 less than -1325.55087427? -1336.25087427 What is the distance between 27.3 and -9729617022? 9729617049.3 Add 48449 and 2028321.53. 2076770.53 Calculate 19158706490945 + -14. 19158706490931 What is the distance between -4.235 and -51.747673? 47.512673 Work out -13521568257348 - 7. -13521568257355 Work out 67246 + -85.19456733. 67160.80543267 What is 1184 plus -26014130321? -26014129137 What is -944859410172 take away -5? -944859410167 What is 0.3445 plus 2375363268? 2375363268.3445 What is 85369.871124 take away 6? 85363.871124 What is 86 - 54689437? -54689351 What is the difference between 0.3 and -323117.89006? 323118.19006 Add together -721159399 and -4015. -721163414 Sum -550207853772 and -5. -550207853777 -334.75 - 3691946020 -3691946354.75 What is -0.5 - -25265.746889? 25265.246889 What is -58.9330606 plus 61.4185? 2.4854394 Subtract -6029338 from -100646. 5928692 -2.82+964829885795 964829885792.18 Add -96765 and 24.93667288. -96740.06332712 Calculate -111617536035 - -0.03. -111617536034.97 What is the distance between 10333.645642 and -0.048? 10333.693642 Subtract -60917.94 from 145889530. 145950447.94 Add -9246045844596 and 23. -9246045844573 0.316+-413257.60312 -413257.28712 Calculate 7 + -13.777020015. -6.777020015 Sum 0.1 and 0.6658473566. 0.7658473566 -152361659.014+126 -152361533.014 What is 0.3 less than -19754.09596043? -19754.39596043 4530614911353 - 2 4530614911351 Subtract 470 from -3084294796. -3084295266 What is the difference between 69155723.9159 and 0.155? 69155723.7609 Put together 8798 and 0.9490464. 8798.9490464 Subtract -180.2777 from 88152. 88332.2777 Sum -210 and 5175.40448. 4965.40448 What is 0.814 + -91.9016408? -91.0876408 10 + 43.2614478435 53.2614478435 Subtract 0 from -194526516659.35. -194526516659.35 Work out -18830903252971 - 1. -18830903252972 Calculate 0.04961 + 18.8354293. 18.8850393 Put together -50642.475 and -2182. -52824.475 Calculate -0.48 + 24859514839. 24859514838.52 What is -277394 plus -50455273? -50732667 Total of 2891790 and -115933. 2775857 What is -3286 + 2053620.85? 2050334.85 What is -6757 - -136768029? 136761272 Work out -0.07 - -3966.173056549. 3966.103056549 38972157 - 1.0096 38972155.9904 What is -2185748108 + -59024? -2185807132 Calculate -12657291 + 8.519. -12657282.481 Sum 90615 and -509418.954. -418803.954 What is -204457688300 plus -47? -204457688347 What is -7130492573.129 take away -0.97? -7130492572.159 Work out -41552.1 - 70427. -111979.1 Total of -1119068028.4 and -0.561. -1119068028.961 Subtract -1996706326.62 from -11. 1996706315.62 Add -5541 and -39396639. -39402180 Calculate 7198.636483 + -0.069. 7198.567483 Subtract 11454403151 from -4808. -11454407959 64015495.854+-8 64015487.854 Calculate 200 + 1461225085628. 1461225085828 Calculate 3.82 - -2611535419.8. 2611535423.62 Put together -75895.2105 and -925. -76820.2105 Calculate -11107115805 + -0.168. -11107115805.168 What is -8.9 minus -100454626847? 100454626838.1 What is 13249 plus 10421731? 10434980 Calculate -360520.806724 - -5. -360515.806724 What is -384692 - -664490? 279798 What is -27182 less than 3237351? 3264533 Subtract -474084 from -82168960. -81694876 Calculate 168381 - -235.890949. 168616.890949 Calculate -48110281901952 - -0.2. -48110281901951.8 What is -4.594 take away 0.008740711? -4.602740711 44.8573318 - 0.0581 44.7992318 What is 9263 + -475.440267? 8787.559733 What is the difference between -8 and 2755.951496? 2763.951496 What is -17081166512 plus -3.46? -17081166515.46 What is 509520 less than 10550456? 10040936 What is the distance between -16957728 and -913? 16956815 Subtract -14007187 from 213.54. 14007400.54 What is 1.0627479211 less than 294? 292.9372520789 What is the distance between -12.7562 and 138642142? 138642154.7562 Sum 0.02564 and 335133329. 335133329.02564 What is 13.207345 minus -1052? 1065.207345 What is -3078507933.5467 minus -6? -3078507927.5467 What is 0.5 - 588026.10414? -588025.60414 Add together -0.6 and 18.4287994112445. 17.8287994112445 Add together 4 and -37298390500496. -37298390500492 What is 11 less than -35777380889628? -35777380889639 Subtract -109854125 from 174347. 110028472 -1.7479492081+-19 -20.7479492081 What is 359305818 - 2139? 359303679 What is -10720039105066 take away 4? -10720039105070 What is -5 + -29561538255452? -29561538255457 Put together -1.08810899 and 68484. 68482.91189101 What is the distance between -0.9582527153 and 330? 330.9582527153 Work out -750 + -114431272383. -114431273133 -198847 - 0.002425061 -198847.002425061 Add together 3187594.09 and -463754. 2723840.09 What is 4691491035 take away 0.1? 4691491034.9 -252318851211 - 0.06 -252318851211.06 What is 207768168302 plus -2907? 207768165395 Work out 9 + 7637.422350517. 7646.422350517 Total of 0.016273 and 2753970.328. 2753970.344273 Add together -488 and -940749.728. -941237.728 Total of -76.00854 and 19182. 19105.99146 6561787+-41980239 -35418452 What is 145193 + -33096665? -32951472 What is -20271177410 plus -336? -20271177746 What is -4 plus 476.1846593847? 472.1846593847 Work out -0.3 + -19059317049. -19059317049.3 What is the distance between -35 and 138255935816? 138255935851 What is 433191181 plus -1.55? 433191179.45 Add 47 and 5182.0315. 5229.0315 Calculate -61856990.957 - -0.13. -61856990.827 Total of 0.3 and 57386115430967. 57386115430967.3 What is 29.66544998 take away 83.79? -54.12455002 What is -1 take away -2.53789704627? 1.53789704627 Subtract -1122737909355 from 4. 1122737909359 What is the distance between 153 and -3897769763? 3897769916 What is the distance between -1 and -164159677178? 164159677177 What is -21.034 take away -3597669796? 3597669774.966 What is -0.115248347 less than 1514? 1514.115248347 Total of 232 and -0.069609779. 231.930390221 Subtract 94994.85 from 0.01117449. -94994.83882551 Put together -165036505 and -5.188519. -165036510.188519 What is 9915.674 minus 0.1382079? 9915.5357921 What is -419948314261 - -126? -419948314135 Calculate 5.085169 + 552.05. 557.135169 What is 15 minus 0.42536877308545? 14.57463122691455 1.277834 - -75214940 75214941.277834 Add together 0.042126888702 and -0.08. -0.037873111298 Add together 103 and -6606582377094. -6606582376991 Add together 45131407670 and -0.4. 45131407669.6 What is -96597363.11 take away 13174? -96610537.11 -3.6922 + 4441960732 4441960728.3078 -80158219+14768.25 -80143450.75 Work out -1.8 - 25466505823873. -25466505823874.8 21062.758 + -14274 6788.758 Subtract 5012.7007935 from -380. -5392.7007935 What is -14261882 plus 3055031? -11206851 What is 0.12 take away -71614784769? 71614784769.12 Add 4222011 and 0.10934. 4222011.10934 Total of 1130595092.44 and -1.1. 1130595091.34 Add 666413684474 and -0.1. 666413684473.9 Calculate -119.98448255 + 10. -109.98448255 Add 23746.238791 and -13991. 9755.238791 -0.91876 - 913076847 -913076847.91876 -3+-317.417481632 -320.417481632 What is 853656 take away 624280.5? 229375.5 1184860200785780 + 0.5 1184860200785780.5 Total of 539563759161 and 3.1. 539563759164.1 What is 50443304139 + 92? 50443304231 Add -8 and -28483247299.8. -28483247307.8 What is -3845358961 - 1574? -3845360535 Calculate 6755 + 4453728698. 4453735453 What is -120.85848 plus -29501.255? -29622.11348 What is 2674.7 take away 180813667? -180810992.3 Subtract 3119773485 from 0.0122. -3119773484.9878 Sum -0.560048633 and -98. -98.560048633 What is -8 minus 66342861736? -66342861744 0.0516726181+152.4 152.4516726181 Work out -43 + 1035017.411. 1034974.411 Total of 5755.8 an
{ "pile_set_name": "DM Mathematics" }
of sequence gg. 1/6 Calculate prob of sequence ii when two letters picked without replacement from {b: 5, i: 2, u: 8}. 1/105 Calculate prob of sequence wx when two letters picked without replacement from swexvxxwvwsxsxxevee. 1/19 Two letters picked without replacement from {l: 1, r: 2, t: 10, m: 1}. Give prob of sequence tl. 5/91 Calculate prob of sequence hkn when three letters picked without replacement from nhtkq. 1/60 Four letters picked without replacement from hedeaanpdeae. What is prob of sequence dpeh? 1/1485 Three letters picked without replacement from qqqqdqqdqd. Give prob of sequence ddq. 7/120 What is prob of sequence ffk when three letters picked without replacement from {k: 10, f: 2}? 1/66 Two letters picked without replacement from {x: 3, o: 1, n: 1}. What is prob of sequence nx? 3/20 Four letters picked without replacement from {z: 1, m: 2, i: 7, c: 4}. What is prob of sequence czmm? 1/3003 Two letters picked without replacement from {q: 10}. What is prob of sequence qq? 1 What is prob of sequence ll when two letters picked without replacement from lllqqqll? 5/14 Four letters picked without replacement from {l: 3, j: 17}. Give prob of sequence lllj. 1/1140 Calculate prob of sequence tnt when three letters picked without replacement from {n: 1, h: 1, k: 2, t: 4, i: 1, s: 3}. 1/110 Three letters picked without replacement from refelenllf. Give prob of sequence llf. 1/60 What is prob of sequence hhhh when four letters picked without replacement from hhhhhhhhh? 1 Two letters picked without replacement from {b: 2, t: 3, f: 1, r: 4}. Give prob of sequence tt. 1/15 Calculate prob of sequence ah when two letters picked without replacement from {i: 1, h: 6, a: 3, t: 1, s: 1}. 3/22 Two letters picked without replacement from {f: 11, s: 1, w: 2, n: 1}. What is prob of sequence wf? 11/105 Calculate prob of sequence mqcl when four letters picked without replacement from cqmlmccccmcmmmiqmm. 1/765 Four letters picked without replacement from {p: 5, u: 7}. What is prob of sequence uupu? 35/396 Calculate prob of sequence gio when three letters picked without replacement from {g: 4, i: 2, o: 3}. 1/21 Calculate prob of sequence da when two letters picked without replacement from aadaaaadadddaaaa. 11/48 Calculate prob of sequence tj when two letters picked without replacement from ltjxd. 1/20 Calculate prob of sequence ccp when three letters picked without replacement from mccmmpm. 1/105 Calculate prob of sequence djj when three letters picked without replacement from djfj. 1/12 Three letters picked without replacement from wwjgwwjwjgwwwjgw. What is prob of sequence gwj? 9/280 Calculate prob of sequence ood when three letters picked without replacement from oejepekooeokeooopdeo. 7/855 Calculate prob of sequence ff when two letters picked without replacement from {f: 3, z: 4}. 1/7 Calculate prob of sequence fqfj when four letters picked without replacement from qqfqjff. 3/140 Four letters picked without replacement from {g: 1, n: 5, j: 7, l: 1}. Give prob of sequence njjl. 5/572 Two letters picked without replacement from {n: 2, l: 5}. Give prob of sequence nn. 1/21 Calculate prob of sequence nppn when four letters picked without replacement from pnnp. 1/6 Four letters picked without replacement from {n: 3, c: 1, g: 2, s: 1}. Give prob of sequence nnsn. 1/140 What is prob of sequence ki when two letters picked without replacement from {f: 2, k: 1, i: 1, h: 2, n: 1, g: 1}? 1/56 Four letters picked without replacement from weewwwe. Give prob of sequence weee. 1/35 Four letters picked without replacement from uopupoppuuupopuuppou. What is prob of sequence ppou? 224/14535 What is prob of sequence dxdd when four letters picked without replacement from {x: 2, d: 7}? 5/36 Three letters picked without replacement from {d: 1, k: 3, r: 4, u: 1, z: 2, h: 1}. Give prob of sequence kzd. 1/220 Calculate prob of sequence oo when two letters picked without replacement from uudoouuuoyyqdqeyddu. 1/57 Two letters picked without replacement from pmdppgappxdaa. Give prob of sequence mp. 5/156 Three letters picked without replacement from aht. What is prob of sequence tha? 1/6 Two letters picked without replacement from rnpr. Give prob of sequence rn. 1/6 What is prob of sequence xy when two letters picked without replacement from {x: 2, k: 1, y: 1}? 1/6 What is prob of sequence cpp when three letters picked without replacement from {c: 2, p: 11}? 5/39 What is prob of sequence vv when two letters picked without replacement from kzzvvkkvdvvzvzz? 1/7 Three letters picked without replacement from {r: 1, j: 3, z: 4, f: 3}. What is prob of sequence rjj? 1/165 What is prob of sequence www when three letters picked without replacement from {w: 9, d: 11}? 7/95 What is prob of sequence iv when two letters picked without replacement from illvvk? 1/15 Four letters picked without replacement from {k: 2, u: 1, e: 4}. Give prob of sequence eeek. 2/35 What is prob of sequence uq when two letters picked without replacement from {f: 3, u: 5, q: 7, g: 1}? 7/48 Three letters picked without replacement from brjabahbbhjhaaaaa. What is prob of sequence bhr? 1/340 What is prob of sequence oe when two letters picked without replacement from {s: 1, g: 4, w: 4, e: 3, o: 2}? 3/91 Two letters picked without replacement from ojjjgmgggnjojommjgmm. What is prob of sequence mj? 3/38 Three letters picked without replacement from ieuegrugeguggigggre. What is prob of sequence iei? 4/2907 Four letters picked without replacement from {a: 5, f: 5}. Give prob of sequence aaaa. 1/42 Three letters picked without replacement from {y: 1, i: 5, o: 3, n: 3, j: 1}. Give prob of sequence nno. 3/286 Two letters picked without replacement from jwnclklkw. Give prob of sequence ww. 1/36 What is prob of sequence ttt when three letters picked without replacement from tttt? 1 Four letters picked without replacement from {y: 2, h: 1, d: 4, q: 1, s: 1}. Give prob of sequence hydq. 1/378 Two letters picked without replacement from {z: 4, c: 3, i: 2}. Give prob of sequence ii. 1/36 Calculate prob of sequence zzz when three letters picked without replacement from {l: 4, z: 3}. 1/35 What is prob of sequence dnd when three letters picked without replacement from {n: 11, d: 5}? 11/168 What is prob of sequence xx when two letters picked without replacement from msmssrxxzsmoxxxss? 5/68 Four letters picked without replacement from vsvjvvvnjjjvjvjj. Give prob of sequence svjn. 7/6240 Three letters picked without replacement from bjjjjjjjb. Give prob of sequence bbj. 1/36 Calculate prob of sequence tvw when three letters picked without replacement from vvwtttvtdtiv. 1/66 Two letters picked without replacement from uvveeuvuuxbvvx. Give prob of sequence eb. 1/91 Two letters picked without replacement from uaaeduaduuxaapuueuau. Give prob of sequence ud. 4/95 Three letters picked without replacement from offfffftm. What is prob of sequence off? 5/84 Two letters picked without replacement from {s: 7, f: 2, l: 1, o: 2}. Give prob of sequence ls. 7/132 What is prob of sequence hhho when four letters picked without replacement from mmhoehemehhooeho? 1/182 What is prob of sequence nai when three letters picked without replacement from xsranriinrar? 1/165 Three letters picked without replacement from {t: 8, x: 3, a: 2, s: 2}. What is prob of sequence axt? 8/455 Three letters picked without replacement from {v: 2, c: 2, b: 2, m: 2}. What is prob of sequence cmm? 1/84 Three letters picked without replacement from aipdpidpdd. Give prob of sequence adp. 1/60 What is prob of sequence pqbd when four letters picked without replacement from {p: 2, b: 1, g: 10, d: 1, t: 2, q: 3}? 1/15504 Three letters picked without replacement from {q: 1, y: 2, x: 1}. Give prob of sequence xyy. 1/12 Three letters picked without replacement from {f: 9, k: 2}. What is prob of sequence kff? 8/55 What is prob of sequence hhh when three letters picked without replacement from bbhhhh? 1/5 What is prob of sequence kkk when three letters picked without replacement from kkgkggkjgkggkg? 5/91 What is prob of sequence huq when three letters picked without replacement from {h: 1, y: 1, q: 1, u: 2, b: 1, a: 2}? 1/168 What is prob of sequence vvk when three letters picked withou
{ "pile_set_name": "DM Mathematics" }
Let s be 0 - (5 - -118)/(-1 - 0). Is s at least v? True Let d be (30/(-75))/(103/5). Suppose 3*y + 12 = 27. Suppose -4*i = 4*q + y - 13, 5 = -2*i + q. Is i bigger than d? False Let z be (2/3)/(14/(-105)) + (-51527)/(-10319). Is 0 > z? True Let h = 9713 - 9713. Is -9281 equal to h? False Let q be (-2)/((-2)/12 + (-38549)/42). Let y be 0/(-2) + 1 + -5 + 4. Which is bigger: q or y? q Let i = -51 - -53. Suppose 2*n - 6 = -i*s, -11 = -5*n - 3*s + 6. Let d be (0/(n + 2))/(0 + 2). Which is smaller: 38 or d? d Let g = 16 - 13. Let l be g/4*28/7. Suppose 0 = -3*r - l*o + 8*o + 94, -5*o = -20. Is 38 <= r? True Let p = 0.2962 + -6.2962. Which is bigger: p or -2.4? -2.4 Let l = -52.01 - -51.71. Do -1056 and l have the same value? False Let g be (-63)/(-15) - 12/(-15). Suppose 12 = d - 0*d - 3*u, -g*u - 28 = d. Let m(v) = 2*v - 2. Let n be m(d). Is -6 smaller than n? False Let p = -197 + 189. Let i be (2025/12)/(-3) - p/32. Which is bigger: -57 or i? i Let n be ((-6668)/(-14))/2 - 63/63. Let f = -237 + n. Suppose 2*u + 0 = 2. Are f and u non-equal? True Let p = -99753 + 704266/7. Which is bigger: 856 or p? p Let y = 27871 - 27872. Which is bigger: 54/485 or y? 54/485 Let j be ((-4)/(-6))/((-1)/(-3)). Let v(h) = 64*h**j - 4 - 5*h - 55*h**2 - 3. Let a be v(-2). Are 40 and a equal? False Let g be 18/42*(8 - 1). Suppose -2*j = -2*i + 1 + 7, -3*i - g*j = -12. Let f = i + -5. Is f at most as big as -1/62? True Suppose 0 = z + 4*z + 15, 3*v = -4*z + 4179. Is 1397 not equal to v? False Let h be (-3)/(-8) - 1622/16. Suppose -5*c = -5*y - 13730, 0*y - 8248 = -3*c - 2*y. Let x be (-3)/(81/c) - (-4)/(-18). Is h > x? True Let s = 32 + -28. Suppose v + 12 = -p - 4*p, -5*p = 2*v + s. Suppose 0 = 12*o - v*o - 8. Is o less than 16? True Suppose 29*o - 174*o = -2197 - 2153. Is o >= 634/21? False Suppose -2*r - 3*r - 25 = 0. Let p = 23645 - 23653. Does r = p? False Let d = -53374/33 + 4772/3. Which is bigger: -27 or d? d Let g = -8.078 + 8.103. Is -246 greater than or equal to g? False Let a = 25 + 8. Suppose 3*z + 15 = -a. Let l(t) = -t**2 - 15*t + 5. Let x be l(z). Is x at least as big as -12? True Let k be (0/(20/5) - -5) + 262. Let y = k + -266. Which is smaller: -2/63 or y? -2/63 Let a = 13549 + -14027. Is a less than or equal to -477? True Let z = 23 - 3. Let q be ((-16)/z)/(1/5). Let f = 3432 - 3437. Is f at least as big as q? False Suppose -2*c - 2*c + 764 = 0. Suppose -730 = -67*n + 12067. Is c at most as big as n? True Suppose -5*d = 2*l - 15691, -5*d + 20650 - 4950 = 5*l. Is 3139 at most d? False Suppose -6 = -4*q - 2*g, 92*g + 29 = 3*q + 97*g. Is -74/115 at most q? False Suppose 2*x + y + 645 = 184, 3*y + 228 = -x. Let s be 76 - (x/45 + (-2)/(-15)). Is s != -2? True Let p be 2/6 - 10/6. Let b = -3614.777 + 3613. Let q = b - -1.857. Are p and q equal? False Let u = 156.51 - -1.49. Let x = u - 157.9. Which is greater: 72 or x? 72 Let z = -954 - -1846. Let w be 76/2109*99006/4. Let a = w - z. Is a greater than -0.1? True Let a(k) = -398*k - 5138. Let b be a(-13). Do b and 1 have the same value? False Suppose 3*t + 5 + 12 = 4*t. Is 1/36 smaller than t? True Let w = -16.4 + -4.6. Let j = 1247.08 - 1268. Let h = w - j. Is 0.1 at most as big as h? False Let j = -0.285 - 170.715. Let a = j - -170.72. Which is smaller: 4 or a? a Suppose -2*o - 3*r = -17, 4*r - 28 = 3*o - 11. Is o <= 10/367? False Suppose 2*g - 48 = 5*c - 7*c, g - 5*c - 36 = 0. Let w(s) = s. Let i be w(2). Suppose i*h + g = 26. Is 2/39 at least as big as h? True Suppose 5*r + 2*y + 8 = 32, 8 = 4*y. Suppose 3*x - 2 = x, 7 = -r*j - x. Which is bigger: 34 or j? 34 Suppose -4*f - 201 = -25. Let c = 45 + f. Let m = c - 27. Which is smaller: m or -2? m Suppose p - 698 = -3*f - 703, 2*f = p. Which is smaller: 174.4 or p? p Let l = -102442 - -102383. Suppose i + 122 = -i. Which is smaller: l or i? i Let w(f) = 3*f + 9. Let t be w(-4). Let l be ((-4)/t)/(8/(-24)). Let v be 39/(-6) - l - -2. Is -20 equal to v? False Let l be -10 + 0*1/2. Let w be 4 - (2/1)/(30/75). Let a be ((-1)/5 + 1)*(w - 9). Which is smaller: l or a? l Let i(v) = v**2 - 2*v - 21. Let w be i(9). Let c = w + -38. Suppose 3*n - 1 = d, -4 = -4*n - 2*d + c. Is n < 1/30? False Let h(m) = 77*m + 230. Let d be h(-3). Are d and 18/119 equal? False Let u = 2356.44 + -2316. Let j = u - 40. Let l = j - 0.24. Is 0.11 at least l? False Let j = 8686/7 + -1241. Let x = 0.65 - 0.25. Is j less than or equal to x? True Suppose 3*b + 4 = 22. Suppose -1 - 5 = b*q. Let t be (-175)/(-310) - (q - 6/(-4)). Which is smaller: -1 or t? -1 Let u = 847 + 428. Does 1274 = u? False Let s = -2592 - -2566. Let l = -14 + 40. Let i = l + s. Which is greater: i or 1? 1 Let g(w) = w**3 + w**2 + 12*w + 23. Let y be 28/(-12) + -1 + 8/6. Let l be g(y). Does -40/7 = l? False Let m(a) = -a**3 + 10*a**2 - 14*a + 10. Let x be m(8). Let n(d) = -9*d**3 + 3*d**2 + d - 1. Let o be n(-1). Suppose 0 = o*g - 5*g - 130. Is x greater than g? False Let z = 23131 + -23130.9. Which is smaller: z or -14509? -14509 Let m = -398 - -392. Let d be (-5 + -400)/5 - m. Is -75 less than d? False Suppose -3*z + 5*z = 0. Suppose 2*k + 4*k + 78 = z. Let c(q) = -q**2 - 12*q + 13. Let o be c(k). Is o > -1? True Let o(k) = 76*k + 1603. Let q be o(-21). Let y(c) = -c**3 + 2*c**2 - 1. Let f be y(-1). Suppose -11 = -2*z + 2*n + 7, 0 = z + f*n. Which is smaller: z or q? z Let o(h) = 222*h + 4898. Let m be o(-22). Let c = -9 - -22. Suppose -c = s - m*s. Which is smaller: 1/13 or s? 1/13 Let a = -317.8 + 311. Let j = -12.8 - a. Is j smaller than 3? True Let v = -794 + 793. Do -253 and v have the same value? False Suppose 0 = -11*o + 112 - 57. Suppose -o*y + 81 = -4*h, -h + 0*h - 27 = y. Is -32 at most h? True Let c(i) = i**2 + 9*i - 1. Let u be c(-8). Let o = -58 + 62. Let q be 174/(-18) + o - -5. Is u greater than or equal to q? False Suppose 5*i + 9 = -3*l - 11, -4*l - i = 4. Let u be (l - 2/(-4))*6. Suppose 0*c - c + 108 = -u*z, 4*z + 144 = c. Which is smaller: z or -37? -37 Suppose 11*w - 71257 + 156958 = 0. Is w != -7790? True Let c be (-107 - 1)/9 + 2. Let o = -5 - -10. Suppose p + o*j = -17, -3*j = -0 + 3. Which is greater: p or c? c Let s be (85 - 95)*(-68 - 1*15/(-5)). Which is smaller: 672 or s? s Let f be (0 - (-350)/(-352)) + 1. Suppose 0 = 5*q + 4*m - 25, -m = -6*q + 2*q - 1. Is q greater than or equal to f? True Let v be 37 - 11 - 250/10. Is -1/6664 bigger than v? False Suppose -2*q = 3*c - 5*q + 252, -4*c - q = 351. Let n be 9/(-6) + c*44/(-8). Which is greater: 476 or n? n Let v = -46 - -66. Let y be (93/6 - -1)/(20/40). Let w be (y/(-528))/((-1)/4). Is v less than or equal to w? False Let b be 1/(-9) + (-2290)/(-22230). Let f(s) = -327 + 4*s**3 + 9*s**2 + 335 - 3*s**3 + s. Let a be f(-9). Which is greater: a or b? b Suppose -9213 = -52*q - 33393. Is q greater than -465? False Let g = 29 + -66. Suppose 0 = -462*q + 484*q + 836. Let d = g - q. Is 1 <= d? True Let h = -92.9432 + -0.0568. Let c = 92.94 + h. Which is smaller: 2/73 or c? c Let f be 10348 + (-40)/(4/1)*43/(-86). Which is bigger: f or 10352? f Let u = -22685 + 22970. Is -1/19 at most as big as u? True Let g be (90 - 0)*((-131)/21 - (-108)/189). Is -510 smaller than g? False Let g = 181.9 + -8.9. Let r = -171 + g. Is r less than or equal to -14? False Let y(t) = t**3 - 2*t**2 - 4*t. Let b be y(3). Let w(x) = x**2 - 12*x - 217. Let s = -129 - -151. Let r be w(s). Are b and r nonequal? True Suppose -667 - 1799 = -6*f. Let m be (f/15 + -7)/((-3)/(-10)). Let k be (m/6)/((-12)/36). Is k greater than or equal to -34? True Let t(f) = -204*f - 164. Let r be t(-9). Is 1672 <= r? True Let r(h) be the second derivative of h**5/5 - 5*h**3/6 + 2*h**2 + 3*h + 1. Let l be r(2). Is 3 smaller than l? True Let y = 11166 + -13489. Which is smaller: -2321 or y? y Suppose 0 = 2*h + 5*m - 8, -4*h + 16*m = 13*m + 10. Is h > -11/347? False Let o = 265.4 - -17.6. Let g be (-25)/10*((-192)/(-105))/16. Which is smaller: o or g? g Let r = 153 + -151. Let s be r/7 - 120/245. Which is bigger: s or -1? s Let t be ((-1)/1698)/(4/(-16)). Let p = -1078/22923 - t. Which is smaller: 0 or p? p Suppose 4*b - 7 - 7 = 3*v, 0 = -3*b + 5*v + 16. Let n(u) = 7*u**2 - u + 6. Let z be n(5). Let k be b/(-11) + 54/z. Is k at least as big as -1? True Let n = -5157301/715 + 7213. Let i be (1
{ "pile_set_name": "DM Mathematics" }
from -11967. -12371 What is -24.1 less than -27.28? -3.18 What is -2.8 take away -0.02508? -2.77492 Sum 7 and 0.9. 7.9 -2.1 - -400 397.9 0.4 + 0.0172 0.4172 Sum 8 and -29.68. -21.68 What is the difference between -24 and -27043? 27019 Calculate 0.2394 + -60. -59.7606 Subtract 180.86 from -0.03. -180.89 What is 50 less than 251.71? 201.71 Add together 126 and 16294. 16420 Add -11 and -0.5382. -11.5382 What is 3 - 13314? -13311 What is -2301256 + 3? -2301253 What is 0.3 + -1023? -1022.7 7506 + 9 7515 0.06 + -21141 -21140.94 Calculate -38.7 - 2.9. -41.6 Put together -0.13 and 33287. 33286.87 Work out -31 + 1.01. -29.99 Subtract 0.06 from 83410. 83409.94 What is 6 + -0.215? 5.785 77.4 - -142 219.4 Add -1287274 and 0.3. -1287273.7 What is -975 take away 0.4? -975.4 What is the difference between 5 and 0.93? 4.07 What is the difference between -0.4 and 13954.94? 13955.34 935 - -4 939 What is 4979 less than -0.0499? -4979.0499 What is 5 less than -960997? -961002 Work out -13 - -431. 418 Put together 0.2 and 2385. 2385.2 Add 0.2 and 1736. 1736.2 What is the difference between -0.5 and 5823? 5823.5 What is -0.618109 - -0.3? -0.318109 Work out -0.291 + 920. 919.709 Work out 0.04 - 3148.8. -3148.76 Calculate 2 + 0.0596. 2.0596 Add -1518 and 0.26. -1517.74 Subtract -0.038 from -2. -1.962 Add -185 and -6. -191 What is -0.014 take away 0.0302? -0.0442 What is 7.66 - -5? 12.66 Work out 0.065 + 0.66. 0.725 -5 - 7548 -7553 Sum 494 and 18. 512 What is -0.1 less than -1930? -1929.9 Subtract 5276 from -10.11. -5286.11 0.1+6078 6078.1 Total of -4.4062 and -1.06. -5.4662 What is the difference between 0.4705 and 0.2? 0.2705 Add -0.4 and 2098. 2097.6 What is -71.73 less than 133? 204.73 What is the difference between 18 and -2.40315? 20.40315 -227+20804 20577 Subtract -5 from -1813006. -1813001 What is -365 less than 18.528? 383.528 Total of -2701.9 and -3. -2704.9 What is -14.7 take away 23? -37.7 Add together 0.3 and 305.98. 306.28 Put together -2.249 and -76. -78.249 What is 79.7 minus -65? 144.7 What is 8812 + 0.5? 8812.5 What is -0.1 + 446722? 446721.9 What is 6906 plus 1154? 8060 Add together 0.2 and 317. 317.2 What is the difference between -4002 and 0.1? 4002.1 What is 285742 minus 2? 285740 What is -111536.1 take away 2? -111538.1 What is the difference between 177 and -70.9? 247.9 Calculate 0.13 - -53. 53.13 Add together -0.01 and -1511. -1511.01 Add 9 and 1683.5. 1692.5 Calculate -352 - -0.46. -351.54 Subtract -0.09 from 15794. 15794.09 -3 - 2.091 -5.091 What is -208074.4 - 4? -208078.4 What is 0.1 take away 10.09? -9.99 Calculate 0.00641 + 73. 73.00641 Sum 47288 and -67. 47221 What is 2183 less than 0.3? -2182.7 What is -0.1 less than 7.355? 7.455 What is 153 minus -21.7? 174.7 Work out -98 - -8882. 8784 Add together 5 and -103.191. -98.191 What is 0.6181 less than 0.2? -0.4181 What is -0.2 + 459707? 459706.8 Sum -45782 and -0.5. -45782.5 What is -1257 minus 0.5? -1257.5 Total of -367 and 1.2. -365.8 0.07 - -140 140.07 What is -14199.434 minus 4? -14203.434 Total of 216 and -0.4. 215.6 What is 24220 take away 1? 24219 Calculate 4 + 0.584. 4.584 -0.3 + -353.64 -353.94 Calculate 1131.3 - 5. 1126.3 Calculate 11.9 - 5. 6.9 What is 3 take away -16213? 16216 Total of 27.3 and -61. -33.7 Add -1 and 0.0973. -0.9027 Add together -0.2 and -167.31. -167.51 What is 90 take away 42? 48 Work out 0.4 - -27468. 27468.4 Sum -944 and 33. -911 Calculate 6466.37 + 13. 6479.37 -2+0.695493 -1.304507 Subtract 5 from -662508. -662513 Calculate 0.19562 - 0.8. -0.60438 Calculate 159578 + -4. 159574 Total of 48 and 37. 85 What is -320 - -0.47? -319.53 Calculate -0.73 + -23. -23.73 What is -98 plus 9? -89 Sum 20.1 and -0.0188. 20.0812 What is -834 less than 0.5? 834.5 Calculate 1 + -0.123958. 0.876042 Sum -0.242 and 0.3. 0.058 Calculate -0.4 - 49788.5. -49788.9 What is 19405 take away -0.01? 19405.01 Calculate -47623 + -32. -47655 Put together -793911 and -0.04. -793911.04 -136 + 2.33 -133.67 What is 83 + -616? -533 What is -1077 + -2? -1079 4075+0 4075 What is -0.3 take away 10.77? -11.07 What is -0.849754 plus -2? -2.849754 Sum 0.991 and -0.74. 0.251 Work out -433.5 - -72. -361.5 What is -256 take away -560? 304 What is -15.593 plus -321? -336.593 Put together 116941 and -4. 116937 -14 + -11.97 -25.97 What is the difference between 148 and 836? 688 0.3+672227 672227.3 1.5 + 0.51 2.01 Sum 896 and 28.5. 924.5 -1243.946 - 0 -1243.946 Sum 0.0087 and 0.7. 0.7087 -1433.48 + -6 -1439.48 Add together -47.8 and -2.9. -50.7 -4575+-83 -4658 Subtract 9 from 2.451. -6.549 What is -17096 minus 0.9? -17096.9 What is -0.08 take away 1375? -1375.08 Add together 0.02 and -0.1276902. -0.1076902 What is 52 plus -0.023? 51.977 What is 0.026 - 543.39? -543.364 Calculate -46.9 + -0.041. -46.941 What is -2670 - -1.2? -2668.8 Add -0.08 and 0.109313. 0.029313 -0.57 + 241 240.43 Subtract -0.45 from -266179. -266178.55 Total of 0.02976 and 3. 3.02976 Sum 625 and 0.11. 625.11 What is -5783.4 take away -0.3? -5783.1 Calculate 33.9 + 1.478. 35.378 What is -28 less than -17? 11 Add -0.0925 and 0.27. 0.1775 Put together 77 and -1. 76 What is 2.106 - 1067? -1064.894 What is -13.5 less than 2.8? 16.3 What is 0.073293 - 1.3? -1.226707 What is -0.2 minus 92? -92.2 0.962 - 353 -352.038 Add -0.09 and 9531. 9530.91 Calculate -103 + -0.13. -103.13 Add together -42 and -0.35697. -42.35697 Calculate 2093 - -0.4. 2093.4 Total of -74431 and -0.2. -74431.2 What is 3 take away 139? -136 What is 7 + -546? -539 Calculate 0.3 - -5.425. 5.725 Work out 0.2 - 16149.2. -16149 What is 0.02 - 11639? -11638.98 Put together -1112 and -297.5. -1409.5 What is 110574 less than -0.1? -110574.1 What is 5 plus 177358? 177363 Sum -54.28 and 1. -53.28 Total of -0.62 and -172. -172.62 Calculate -91 - -463. 372 What is -2705 plus 0.036? -2704.964 What is -258.1334 - -0.4? -257.7334 What is -86 minus -18? -68 Sum 7777.21 and 0.2. 7777.41 What is the difference between 43.58 and 3? 40.58 Subtract -429.9 from -0.02. 429.88 What is -0.1 - 20961? -20961.1 Work out 796 + 5059. 5855 What is the distance between -0.4 and -25.54? 25.14 Add together 17667 and 2. 17669 Add together -961 and -2.746. -963.746 What is the distance between -0.8 and -164? 163.2 -1+10326 10325 Put together -5929 and -1. -5930 Total of -0.9098 and 5. 4.0902 What is -0.198 plus -60? -60.198 What is -5 - 82133? -82138 Sum -23 and -2509. -2532 Add 11 and 0.1791. 11.1791 Calculate -0.1042 + -0.1. -0.2042 -756+1 -755 Put together 9.82 and 0.5. 10.32 What is 279 + 1? 280 0.3603 - -108 108.3603 Put together 11699 and -12. 11687 What is -9.98 plus -1060? -1069.98 Work out -0.04208 + 154. 153.95792 Work out -9210 - 0.04. -9210.04 What is -127122 + 0.1? -127121.9 0.1340285 + -3 -2.8659715 What is the difference between 466 and -61.5? 527.5 -88.7 - 0.04 -88.74 Calculate -32623 - -0.4. -32622.6 Calculate 2 + 660. 662 0.01+-15.421 -15.411 What is 6 less than 2.2898? -3.7102 -0.46 - 0.0785 -0.5385 Put together 3.5 and 0.4. 3.9 Subtract -2.38 from -135. -132.62 What is -2.3 - 27414? -27416.3 Sum -0.433 and 363.8. 363.367 Subtract -3 from 1253. 1256 Work out 0.061985 + -0.05. 0.011985 Calculate -95.3 - -1. -94.3 0.2 + -68.1759 -67.9759 What is 3 minus 3486? -3483 Total of -25 and 9. -16 4932+13 4945 -2+-3143 -3145 Total of -225 and 695. 470 Add together 9175 and 3. 9178 Add together 135 and 89. 224 What is 0.16 minus -0.1837? 0.3437 What is 2 plus -0.39? 1.61 Work out 1.97 + 15. 16.97 0.2 - 22.55 -22.35 Work out -177.8 - 83. -260.8 What is -71 minus -7084? 7013 0.059 + 0.19 0.249 What is -4 - 92531? -92535 What is 493 less than 1? -492 Sum -8 and 7. -1 What is -2752 - -17? -2735 Total of 2148 and -0.5. 2147.5 231972+-7 231965 What is -5.97 plus 112? 106.03 Work out -0.6 - -1.141. 0.541 Calculate -960 + 6.8. -953.2 Work out 0.08198 + -7. -6.91802 -20.72 - -96 75.28 What is 87 minus -134? 221 Calculate 0.74 - -0.05845. 0.79845 What is -22552 take away 39? -22591 -6.517 + 12 5.483 What is 0.64 - 1? -0.36 Subtract -2.12 from 9817. 9819.12 Add -5 and -0.182. -5.182 What is 0.1 less than -0.0187? -0.1187 What is -2.4623 minus 0.2? -2.6623 Work out 4.4 + 231. 235.4 What is -3 less than 73674? 73677 -2+76731 76729 Work out 0.4 + 0.33321. 0.73321 Total of 655 and 28. 683 -1 + -1052.5 -1053.5 What i
{ "pile_set_name": "DM Mathematics" }
uming z is positive. z**(408/2035) Simplify ((n*n/((n*n**35*n)/n))/(n**(-3/7)*n*n))**(-49) assuming n is positive. n**1743 Simplify (u**(-1/11))**(-2/115)*(u/(u**(-1/11)/u))/u**0 assuming u is positive. u**(2647/1265) Simplify (t**(-4))**(-1/4)*(t*t/t**(-7/3))**(-4) assuming t is positive. t**(-49/3) Simplify (a*a/(a/((a**(-12/7)*a)/a)))/a**(-5/6)*a/(a*a*a**(-6))*a**(1/2) assuming a is positive. a**(118/21) Simplify ((o**(-1/2))**26/(o**1)**(1/12))**33 assuming o is positive. o**(-1727/4) Simplify ((m**(-1/2)/(m**(1/9)*m*m*m))/(m*(m/m**0)/m)**(2/21))**(-2/35) assuming m is positive. m**(467/2205) Simplify p*p*p**13*p*p*(p*p*p/(p/(p**(-1/7)*p*p))*p)/p*(((p*p**(-2))/p)/p)**(9/7) assuming p is positive. p**17 Simplify ((q**(7/2)*q)/((q*q*q**(-16/7)/q)/q))/(q*q**(-17)*q*q*q*q/q**(-29)) assuming q is positive. q**(-143/14) Simplify v**11/v*v*v**(-7/4)*(v**(-10))**(3/25) assuming v is positive. v**(161/20) Simplify ((c/c**(2/5))/c*c/c**(-7))/(c**2*c/(c*(c/(c*c/c**3))/c*c)*c) assuming c is positive. c**(33/5) Simplify (j**(-5/7)*j*j**11)/(j/j**(-2))**(-6/11) assuming j is positive. j**(995/77) Simplify (d**(2/5))**(-21)/((d/(d/(d*d*d**(1/23)))*d)/(d*d**(-2/13)/d)) assuming d is positive. d**(-17338/1495) Simplify (b**(-5/8)/b**(2/63))/(b**(-2/13)/(b/(b**8*b*b))) assuming b is positive. b**(-62263/6552) Simplify ((s/s**(-1/5)*s)**(-3/8)/(s/(s/(s*s**(-3))))**(-47))**(-6/5) assuming s is positive. s**(11379/100) Simplify ((t/t**(-9)*t)/t*t/((t/(t*t**1)*t)/t)*t)/((t**(2/13)*t*t)/t**(-14)) assuming t is positive. t**(-41/13) Simplify s**(7/5)*s**(-28)*s**(3/7)/((s*s*(s*(s/(s**(-8)/s))/s)/s*s)/s) assuming s is positive. s**(-1301/35) Simplify ((c**(-5)/(c*c*c**(-2/9)))**(25/3))**(3/10) assuming c is positive. c**(-305/18) Simplify q**(2/15)/q**(5/9)*q**(4/5)*q**(4/3) assuming q is positive. q**(77/45) Simplify ((z*z**(-8))/z**(-27))**5 assuming z is positive. z**100 Simplify (o*o/(o*o*o/((o**(2/7)*o)/o)*o)*o**12*o)/((((o/((o*o*o*o**(1/4)/o*o)/o))/o)/o)/o)**(3/20) assuming o is positive. o**(6677/560) Simplify m/m**(-7)*m**(-2/11)/m*((m/(m/(m/(m*m**39))))/m)/m*m**(-1/4) assuming m is positive. m**(-1515/44) Simplify (s/s**(-18)*s**(12/7))**(-1/21) assuming s is positive. s**(-145/147) Simplify ((m**(-1/3))**(-8/3)/(m**3*m/m**1))**35 assuming m is positive. m**(-665/9) Simplify (v*v/(v**(1/3)/v))**(1/21)*v**16/(v**11*v*v) assuming v is positive. v**(197/63) Simplify (p**1)**(-3/14)/(((p/(p*(p*p**13)/p*p))/p)/p*p*p**(-2/11)) assuming p is positive. p**(2305/154) Simplify w**(1/26)*w**(1/13)*(w*w**(-1/11)*w)/w**(-2) assuming w is positive. w**(1151/286) Simplify ((x*x**3*x*x**1)**(3/4))**39 assuming x is positive. x**(351/2) Simplify ((z**(-3/2)*z*z**7)/(z**(3/5)*z/(z*z**(3/7)*z)))**(-4/9) assuming z is positive. z**(-114/35) Simplify (l**(-1/6))**8/(l**(9/4)/l**(-5/6)) assuming l is positive. l**(-53/12) Simplify ((g/(g*g**(1/25)))/g**35)/((g/g**(18/13))/g)**41 assuming g is positive. g**(7062/325) Simplify (((b/b**0)/b)**(-2/181)*b/(b**2/b)*b/(b**1*b))**(3/35) assuming b is positive. b**(-3/35) Simplify ((k*k*(k**18*k)/k*k)/(k**2/k))**(2/57) assuming k is positive. k**(40/57) Simplify (y**(-9)/((y*y*(y**(5/7)/y)/y)/y))/((y*y/(y/((y/y**(-10)*y)/y)))/y**0) assuming y is positive. y**(-145/7) Simplify ((n**(1/3))**(3/17)/(n/n**(-2/13))**(-3/4))**(-20) assuming n is positive. n**(-4085/221) Simplify u**(3/8)/(u/u**12)*u/u**(-2/23)*u**(8/9) assuming u is positive. u**(22109/1656) Simplify (n/(n/(n/(n*n**(2/9)*n))))**(3/28)*(n**(1/4))**(8/3) assuming n is positive. n**(15/28) Simplify ((f**38)**(-8))**(-4/19) assuming f is positive. f**64 Simplify ((c/(c/(c*c**0)))/c*c**(-6))/(c**4)**(-8/5) assuming c is positive. c**(2/5) Simplify (((y*y/(y*y/y**(1/2)))/y)/y**(1/10))**(-2/9) assuming y is positive. y**(2/15) Simplify ((a**(-2/9)*a)**(-1/10))**(-3/7) assuming a is positive. a**(1/30) Simplify w/w**(-1)*w*w*w**(6/11)*((w/(w**3/w))/w*w)/w**(-2) assuming w is positive. w**(61/11) Simplify ((g*(g**18*g)/g)/(g**(-8)/g*g))**(-13) assuming g is positive. g**(-351) Simplify ((k**4/k)/k**4)/(k**(-19)/k**(-15)) assuming k is positive. k**3 Simplify (a/(a/a**(-1/4)*a))/a*a*a*a*a**(26/7)*(a**(14/3))**(-1/3) assuming a is positive. a**(733/252) Simplify l/l**15*l*l**(7/2)/l*l/(l*l**(-13))*l**(-22) assuming l is positive. l**(-39/2) Simplify ((g**(4/7)*g**0*g)/(g**3)**17)**(-26) assuming g is positive. g**(8996/7) Simplify r**(2/19)*r**(4/5)*(r*r**13)/r**(-5) assuming r is positive. r**(1891/95) Simplify ((((((x*(x**(-1/3)/x)/x)/x)/x)/x)/x)/x)**(-4/3)*((x*((x**26*x)/x)/x)/x)/(x/(x*x*x**15)*x) assuming x is positive. x**(436/9) Simplify (g**(-1/12)*g**0*g**(-5)/g*g**(-1))**40 assuming g is positive. g**(-850/3) Simplify x**(-5/3)/(x*x*x*x*x*x*x**(3/26)*x*x*x)*x**(-33)*(x*x**12*x)/x assuming x is positive. x**(-2401/78) Simplify ((v/(v**7/v))/v*v*(v*v**(-5)*v*v)/v)/(v**(-4/3)/(v*v**(1/6))) assuming v is positive. v**(-11/2) Simplify (i**(-2/29)*i)/(i*i*i/(i*i/(i*i**15)*i*i)*i)*(i**15/i)/i**(-17) assuming i is positive. i**(462/29) Simplify (u**(-3/10)*(u/(u/((u*u**(-2/13))/u)))/u)/((u/(u/((((u*u**(-1/5))/u)/u)/u)*u*u))/(u**(2/19)*u)) assuming u is positive. u**(9513/2470) Simplify (g/g**(-2))**(7/2)/(g*g**4*g)**(-11) assuming g is positive. g**(153/2) Simplify (p**(-3/17)/(p*p**15))/(p**(-1/3)*p/(p**(2/19)*p)) assuming p is positive. p**(-15250/969) Simplify (x*x**(-6/5)*x/(x/((x**(3/7)*x)/x)))/(x**(-1)*(x/(x/(x/x**(4/13)))*x*x)/x*x) assuming x is positive. x**(-666/455) Simplify ((q**(-6/19)/q)/q)**(7/8)/(q**(-17/5)/(q/q**(7/2))) assuming q is positive. q**(-107/95) Simplify (b**(-2/21))**(2/115)*(b**(3/4)/b)**(-21/5) assuming b is positive. b**(10127/9660) Simplify (n**(3/4))**(-48)/(n**(3/7)*n*n**1*n) assuming n is positive. n**(-276/7) Simplify (((k*k*k/(k*k**0*k))/k)/k*k)**(-44)/((k/(k**(-2/9)*k))/((k/(k**(-3)/k))/k)) assuming k is positive. k**(34/9) Simplify (y/((y**19/y)/y)*y)**41*y*y**(4/5)*y**(-1/9) assuming y is positive. y**(-27599/45) Simplify (d**(-3)*d*d*d/(d*d*d/(d**15/d)*d))/(d**(-2)*d**(7/6)) assuming d is positive. d**(65/6) Simplify (w**(-1/11)*w)**10/((w/w**(-12))/w**(-3/5)) assuming w is positive. w**(-248/55) Simplify (o*o**(1/10))**25/(o**(-33)*o**(-4/11)) assuming o is positive. o**(1339/22) Simplify (c**11/c)/c**(-5/6)*(c/(c/(((c/((c*(c*c*c/c**(1/6))/c*c)/c))/c)/c)))**(3/2) assuming c is positive. c**(61/12) Simplify (f/(f/(f*((f*f/(f**17/f))/f*f*f)/f)))/(f*f**(-8))*(f**(-3/10))**(2/25) assuming f is positive. f**(-753/125) Simplify ((p**(5/3)*p)/(p*p/p**14))/(p/(p**9*p)*p*p**(2/7)) assuming p is positive. p**(470/21) Simplify (h*h*h**(5/7)/h)**(-6/7)/(h**26*h*h**19) assuming h is positive. h**(-2326/49) Simplify (t**(-1/7))**32/(t*t*t*t*((t/t**6)/t)/t)**(-2) assuming t is positive. t**(-74/7) Simplify (d**(1/9))**(2/35)*((d**(-2)*d)/d)/(d/(d*d*d*(d/((d*d*d*d*d**(-1/10))/d))/d)) assuming d is positive. d**(-1823/630) Simplify (s*s**(-31))/(s/(s/(s*(s**(12/5)*s)/s)))*s**13/s**(-6) assuming s is positive. s**(-72/5) Simplify (b**(-24)*b*b*b**(-2/51))**(-34) assuming b is positive. b**(2248/3) Simplify (t**(-10)*(t/(t/((t/(t/t**17*t))/t)))/t)/(t*t/(t/(t/(t/t**(8/7))*t*t))*t/(t*(t**18/t)/t)) assuming t is positive. t**(111/7) Simplify (u*(u**(-2/3)/u*u)/u)**21*u**(-10)/u**(-2/33) assuming u is positive. u**(-790/33) Simplify (i**(-2/13))**(2/21)/((i*i**(-1/30)*i*i)/(i/(i*i**(12/11)))) assuming i is positive. i**(-40763/10010) Simplify (r*r**12*r/r**1)**(22/5) assuming r is positive. r**(286/5) Simplify (s/s**(-1/37))/(s*s/s**(2/61)*s*s)*s/((s**11*s)/s)*s**10 assuming s is positive. s**(-6636/2257) Simplify ((((s/s**(1/3))/s)/s)**37/(s*s*(s**(-1)/s*s*s)/s*s*s*s**5))**26 assuming s is positive. s**(-4472/3) Simplify ((o/((o*(o**(2/21)*o)/o)/o*o))**(1/14))**(4/17) assuming o is positive. o**(-4/2499) Simplify d/d**19*d*d*d*d**(-27/7)*d*d**21/d*d**(2/77)/d assuming d is positive. d**(90/77) Simplify ((i*i**(-3)*i*i/((i*i/(i**3*i))/i))/(i**1)**(4/19))**11 assuming i is positive. i**(583/19) Simplify ((m*m*m/m**(1/13))/m*m*m*m**(-13)*m)/(m**(1/11))**(-1/3) assuming m is positive. m**(-3452/429) Simplify ((y/(y/(((y/y**(-2))/y)/y))*y)/y*y**(-5)*((y/y**1)/y)**(-1/4))**44 assuming y is positive. y**(-165) Simplify (r**(-2/15))**(-34)*r**(1/4)/(r/r**(-14)) assumi
{ "pile_set_name": "DM Mathematics" }
3*o - y = 8*u. Solve 0 = -2*i, -2*q + 3*i = -u*q + 6 for q. 3 Let y be (8 - 7) + -2 - (-3 + 0). Solve y*z - 5*p + 0*p - 35 = 0, 30 = 4*z - 2*p for z. 5 Suppose 4*g = 5*q + 72 + 27, 2*g = -4*q + 82. Solve 0 = -2*l + 3*i - 17, -36*i + 11 = l - g*i for l. -4 Let c = -1430 - -1432. Solve 5*n + 36 = -4*t, 0*t - 4*n - 8 = -c*t for t. -4 Let f = 6861 + -6858. Solve -4*y - 3 = l, -f*l + y + 2 = -2 for l. 1 Let h be (-7296)/(-1064) - (1/(-7) - -1). Solve 4*p + 0*j = -4*j + 8, -h = p - 3*j for p. 0 Suppose 32*q - 8 = 30*q. Suppose -17*i = -15*i - q. Solve -3*x - 2*x - 4*p = 26, i*p = -x - 10 for x. -2 Let c be 632/64 - 2/(-16). Let w(x) = -x**2 + 16*x - 60. Let h be w(c). Solve 4*r - n = 9 + 1, h = r - 2*n + 1 for r. 3 Suppose 62 = -9*a + 953. Let t = 101 - a. Solve 4*u = -x - 10, 4*x = u + t*u - 2 for u. -2 Suppose b = 5*r - 14, -73*r = -72*r + b + 2. Suppose -r = 5*m + 4*p, -2*m + 2*p = m - 12. Solve w = -3*z - m*z - 20, -3*w - 6 = -3*z for z. -3 Suppose -348*t + 345*t = 3*j - 18, -3*t = -3*j. Solve -2*p + x + 6 = 0, -t*x - 12 = 2*p - 10 for p. 2 Let m be (-9)/(-2) - ((-9)/42)/((-402)/938). Let g(k) = -5*k**3 + k**2 + 2*k + 1. Let q be g(-1). Solve -5*v + m*x = -13, -q*v - x - 2*x = -34 for v. 5 Let w(o) = o**3 + 6*o. Let a = -199 + 199. Let s be w(a). Solve 0 = 5*d - 2*p - 12, 4*d + 3*p + s*p = 28 for d. 4 Let l = -1 + 1. Suppose -r + 1 + 1 = l. Let i(w) = -5772*w + 63492. Let n be i(11). Solve n = 3*z - 2*f - 13, -3*z + r*z - f = -1 for z. 3 Let d = -2 - -3. Let t be 2*d - 12/(-3). Suppose -5*k - 14 = 3*f, 0 = 1618*f - 1617*f + 8. Solve k*q - t = 4*l, 0 = 3*q - 0*l + 5*l + 13 for q. -1 Let f = -357 + 382. Suppose -5*l + 3*t = -24, -2*l - 4 = -5*t - f. Solve -2*b + 5*p + 9 = -3*b, 3*p + 9 = l*b for b. 1 Suppose -51 + 9 = -14*q. Let t(b) = 5*b**3 - q - 2 + 7*b**3 - 13*b**3 + 6*b**2 - 3*b. Let y be t(5). Solve 2*r - 2*a = 3 - 5, -3*a = -5*r - y for r. -1 Suppose -337 = -41*h + 319. Solve 4*o - 21 = -0*w - 5*w, -3*o + h = 4*w for w. 1 Suppose 0 = 4*p + 5*h - 12, 0*h = -h. Suppose 0 = 2*n - 3*i - 17, -n = -5*n - p*i + 7. Solve -5*o + o = n*j + 16, 0 = -2*j for o. -4 Let g(s) be the first derivative of s**4/4 - 4*s**3 + 3*s - 99. Let w be g(12). Solve -4*k - w*t - 1 = 0, -4*k - 8 = -2*k + 4*t for k. 2 Let w be (-3)/9 - (-91)/21. Let u be 0 - 2 - (-134)/(-2). Let t = u - -69. Solve -2*h + 10 = -w*q - h, t = 4*q + 5*h + 22 for q. -3 Let k(h) = 917*h**2 - 21*h - 21. Let x be k(-1). Let t = -914 + x. Solve 2*g = z - t*g + 27, 25 = 5*g for z. -2 Suppose 176 - 202 - 464 = -98*b. Solve 3*f - b*j - 7 = 0, 63 - 59 = -2*j for f. -1 Suppose -4*z + 15 = -z, 40 = 3*t + 5*z. Suppose 10 = -74*y + 79*y. Solve y*h - 2 = 3*q - 8*q, -5*h + t = 4*q for q. 0 Suppose -5*r + 65 + 0 = -5*j, -2*r + 5*j = -41. Solve -5*b - 5*i + 10 = 0, 17 = -5*b - 4*i + r*i for b. -1 Suppose c + 2 + 0 = -5*k, -2*c - 3*k = -3. Suppose c*h + p - 13 = 0, h = -2*p + 6*p. Solve -5*o = u - h, -2*u + o + 20 = 3*u for u. 4 Let u = 310 + -310. Suppose 0*x - 4 = s + 4*x, u = -2*s + 3*x + 3. Solve 4*i - 11 = -3*z, -z + 3*i - 8*i + 22 = s for z. -3 Let f = -163 + 170. Suppose -j + f = -4*q - 12, -4*j - 2*q + 4 = 0. Solve 5*u - h + 1 = -2, -j*u + 5*h = 15 for u. 0 Let b(j) = -5*j + 37. Let a be b(6). Suppose 0*k = k + p - a, 2*p = -3*k + 19. Solve 3*q = k*g - 22, 5*g - 2*q - 10 - 13 = 0 for g. 5 Let a(n) = 2*n + 4. Let q(o) = 2*o + 5. Let m(u) = 4*a(u) - 3*q(u). Let j = -795 - -800. Let x be m(j). Solve 2*f - 6 = 5*v + x, -3*v = 3*f + 6 for f. 1 Let t be 6/((-21)/((-84)/8)). Solve -11*r = -13*r - 2*j - 8, 0 = -5*r - t*j - 20 for r. -4 Let k(n) = 4 - 26*n**2 + 81*n**2 - 2*n**3 + 4*n**3 - 35*n**2. Let h be k(-10). Solve 0 = p + 3, 4*q + h*p + 0 - 4 = 0 for q. 4 Let i = -6504 + 6510. Solve -y + i = -2*n, -4*n + 3*n = 4 for y. -2 Suppose -2*j = y - 3, 5*y - 212*j = -211*j + 26. Solve 3*p = -y*t + 13, -2*t - 5*p + 11 = 2 for t. 2 Suppose -43*q + 46*q - 510 = 0. Let a be (1 + -6)/(q/(-102)). Solve 5*j - 14 = -4*z + 1, -j + a = 0 for z. 0 Let k(a) = -6*a**2 - 6*a + 11 + a**3 - 5*a - 2*a + 5*a. Suppose 0*i - 77 = -11*i. Let r be k(i). Solve x + u = -5, 10 = -3*x + r*u + 23 for x. -1 Let w be 1 + -2 + 2 + 8. Suppose 0 = -4*m + 4*d + 20, -4*d = -9*m + 13*m - 12. Let o be 15/m - (-16)/64. Solve -w = -5*f + 3*n, -o*n = -2*f - 3*n + 3 for f. 0 Suppose -11*o - 7 = -18*o. Let x be 15/6 + o*1/(-2). Solve x*g + 2 = 2*p, 0 = -5*g - 5*p - 7 + 2 for g. -1 Let f be 7/2 - (-270)/300*10/(-6). Solve -5*c + 3*s + 10 = -12, -20 = -f*c + 4*s for c. 2 Let o(p) = 4*p + 4. Let u be o(0). Suppose 0 = -3*l - u*l + 21. Solve 3*m = 2*f + 1, 5*m + 6 = f + l for f. -2 Let q = 29 + -27. Suppose 0*x - 4*x + q*u + 2 = 0, 4 = 4*u. Suppose 5*h - 5*r - 11 = -x, 2 = -5*h - r. Solve -5*w + h*z = 3*z - 11, -7 = -4*w - 3*z for w. 4 Let n be (-11)/(132/18)*20/(-6). Suppose -2*m + 5*g = -21, -n*g - 13 - 14 = -4*m. Solve i - m*f = 2, 3*i - 2*f - 4 + 12 = 0 for i. -4 Let r(j) = -2*j - j - j**3 - 215*j**2 + 11 + 218*j**2. Let l be r(3). Solve -i + l*t - t = -7, -2*t = 4 for i. 5 Let n(f) = -13*f. Let b be n(-5). Suppose -18*r = -25 - b. Solve -2*l - r*h = -18, 5*h + 1 = 5*l - 9 for l. 4 Let y(z) = -29*z + 15. Let a be y(3). Let h = -74 - a. Let q be -4*(2 + (-6 - h)). Solve 7 = 2*b - 5*r, -4*r = b - q*r - 8 for b. -4 Let o(w) = 38*w - 390. Let q be o(11). Let m be (-16)/q + 0 + 64/14. Solve -l - 18 = m*s, 0 = -2*s - s - l - 14 for s. -4 Let i(k) = 0 - 57*k**2 + 10 + 3*k**3 - 2*k**3 + 59*k**2 - 64*k. Let l be i(7). Solve 0 = 2*w + 3*b - 2, -w + 4 = -2*b + l for w. 1 Let h be (-13 + 3)/(-2)*(-12)/(-20). Solve -2*t - 4*c = -0*c - 20, -t - h*c = -13 for t. 4 Suppose 0*l - 365 = -5*l. Let x = 69 - l. Let u be 5 - ((0 - x) + -4). Solve -y - 1 = m, -5 + 6 = -4*y - u*m for y. -4 Suppose -20*y = -80 - 300. Suppose y*p - 150 = -6*p. Solve 5*r + w - p*w - 5 = 0, -r = 2*w + 5 for r. -1 Let z be ((-1)/(-3) + -1)/(-15 - 1330/(-90)). Solve 4*l = 38*p - 34*p - 28, z*p = -l + 5 for l. -4 Let u be (-322)/70 - 1*(-3)/5. Let v be u + 114/14 + 2/(-14). Solve 6*t = 2*t - 3*o - 19, 4*t = -v*o - 20 for t. -4 Let m(s) = -s**3 + 4*s**2 - 4*s - 3. Let y be m(5). Let g = -45 - y. Let a = g - 3. Solve -6*r - 24 = -2*r + 4*d, -r - 2*d - 8 = a for r. -4 Let r = -95 + 97. Let t be ((-22)/r)/(1/((-3)/3)). Suppose -u + t = 10. Solve 2 = -5*n - 2*l, -4*n - 4*l + 3*l - u = 0 for n. 0 Suppose -6*w + 205*w - 1791 = 0. Solve 0 = 4*g + 5*x - 27, g + 4*x = -w + 24 for g. 3 Suppose 4266 - 4536 = -18*q. Solve -q*f - 4*d = -10*f + 1, 2*d - 1 = -3*f for f. 3 Let f(m) = -5*m**2 + 11*m + 39. Let j be f(4). Solve 14 = -2*a + 3*h, -2*a - 22 = 2*a - j*h for a. -4 Let r be (-999)/(-222)*236/18. Suppose 0 = -4*q + r - 47. Solve q*v - a - 10 = -2*a, 0 = 5*v + 3*a - 10 for v. 5 Let b = -115 + 124. Suppose -b*i - 6*i = 0. Solve -4*v + i = -5*z + 3, -9 = 3*z + 3*v for z. -1 Suppose 5*k = -3*h + 117, 5*h - 19 = -3*k + 160. Solve -4*v = 5*w + 6, 10 = h*w - 29*w for v. -4 Let l(s) = s**3 - 13*s**2 + 12*s + 9. Let d be l(12). Let o be (12/d)/(1/(-6)). Let p = -8 - o. Solve p = -2*u + 10, 3*c + u = 9 - 1 for c. 1 Suppose 740*h - 120 = 710*h. Solve -h*p = 2*r + 4, -161*r + 165*r = -5*p - 2 for p. -2 Let w(z) = 4*z + 5. Let p be w(8). Let b be (-3)/(-3)*(-10)/(-10). Suppose b = x, -5*g + 2 - 3 = -x. Solve g = 4*l + 5*h - p, 2*l - 5*l = 5*h - 34 for l. 3 Suppose 3*m - 4 = 2*w + 5, -4*w = -4*m + 8. Solve -4*t - 5*k = -4*k - 1, 3*t - m*k = -28 for t. -1 Let l = -586 + 279. Let m = -307 - l. Solve m = z - 5*b + 10, -3*b + b = -3*z - 4 for z. 0 Suppose -8*w = -7*w. Suppose w = -h - h + 10. Let c = 0 - 0. Solve -5*x + 5*f - 5 = c, 10 = -h*x + x + 2*f for x. -4 Suppose -2*b - 5*n + 8 = 0, 2*n + n = 6*b - 24. Let o be 13 + b/(-2) + (6 - 9). Solve 4*a + 3*t - 2*t = -o, 0 = -5*a + 4*t + 11 for a. -1 Suppose 9*r - 5*r - 3*w = -862, 5*r + 1066 = -2*w. Let l = -207 - r. Solve 0*z - 2*q + 1 = z, z - q = l for z. 5 Let d be (6 - 4 - 7) + -15. Let j = 15 - d. Let u = -14 + j. Solve 4*a - 5*x = u, x = -5*a + 5*x + 24 for a. 4 Let q(f) = -f**2 + 30*f - 29. Let j be q(26). Suppose -177*x + 176*x = -j. Let g = x + -71. Solve -h = -3*h + g*p + 18, -4*h + 11 = -3*p for h. -1 Suppose -960 = -7*z - 27*z - 26*z. Solve z = -4*x, -4 = -4*m + 5*x + 4 for m. -3 Let c be -11*(4 - (-477)/(-99)). Solve -15 = 4*q + 3*l, c*l - 5*l + 20 = q for q. 0
{ "pile_set_name": "DM Mathematics" }
t j(t) = t**3 + 11*t**2 - 11*t + 8. Suppose -36 - 4 = 4*h + 4*f, -f = -5*h - 62. Let y be j(h). Calculate q(y). -5 Let z(b) be the first derivative of -b**4/4 - 5*b**3/3 + b**2/2 + 3. Let p(f) = -17*f**3 + f**2 + 4*f + 2. Let y be p(-1). Suppose -4 = y*s + 44. What is z(s)? -21 Suppose -3 = a - 1. Let o(q) be the second derivative of 103*q - 1/3*q**3 + 0*q**4 + 0 + 0*q**2 - 1/20*q**5. Determine o(a). 12 Let i(g) be the first derivative of g**3 - 17*g**2/2 + 2*g + 1405. Determine i(6). 8 Let f(p) be the third derivative of -13*p**4/24 + 111*p**3/2 + 7478*p**2. Calculate f(26). -5 Let l(x) be the third derivative of 11*x**5/10 + x**4/12 + x**3/6 - 1617*x**2. What is l(-1)? 65 Let f(r) = -3*r**3 + 9*r**2 - 2*r - 3. Let d(o) = 7*o**3 - 22*o**2 + 4*o + 7. Let b(k) = 2*d(k) + 5*f(k). Let h be (-48)/32 + (-1)/2. Determine b(h). 15 Let p be (31/(-2))/((-5)/(-10)) - 2. Let r be -1 - (-2 - p - -4). Let s be r/27*2/(-8)*-18. Let m(q) = -q**2 - 6*q - 8. Give m(s). -8 Let r(d) = -d**2 + 3*d + 3. Suppose 5*y - 312 = 4*z, -2*y + 16 = -z - 65. Let x = z - -77. Suppose -32 = -x*i + 3*o, 0 = 4*o + 15 + 1. What is r(i)? -7 Suppose 4*u + u + 25*u = 180. Let x(f) be the second derivative of -f**5/20 + 5*f**4/12 + f**3/6 + 7*f**2/2 - f. What is x(u)? -23 Let s(l) = 3*l + 1 + 0 - l**3 + 4*l**2 - 5*l. Suppose 4*n + 6 = -14. Let y(z) = -z**3 - 5*z**2 - z - 1. Let u be y(n). Give s(u). -7 Suppose 17*t - 181 = -32*t - 34. Let f(p) be the first derivative of -1/3*p**t + p**2 - 2*p + 2. Determine f(3). -5 Let y = -30663 - -30658. Let o(t) be the third derivative of -t**6/120 - t**5/10 - t**4/24 + t**3/2 + 3*t**2. Calculate o(y). -17 Let a(i) = -127*i - 3139. Let k(x) = 42*x + 1132. Let g(b) = -4*a(b) - 11*k(b). Give g(-2). 12 Suppose -42*o + 554 = 26*o - 398. Let w(u) = -u**3 + 14*u**2 - 3*u - 13. Give w(o). -55 Let k = -37639/4 + 9410. Let d(t) be the first derivative of -2*t + t**2 - 2/3*t**3 + 13 + k*t**4. What is d(3)? 13 Let r(c) = 2*c**2 - 6*c**2 + 8 - 7. Let g be 13/(-11) + 0/(-64) + 6/33. Give r(g). -3 Let h(p) = p**3 - 73*p**2 + 209*p + 73. Let o be h(70). Let k be (-18)/(-2)*(-2)/(-6). Let b(w) = -w**2 + 2*w**2 - k*w - 4 + 6*w. Determine b(o). 14 Suppose 0 = 3*a - 5*j + 29, -8 = -10*a + 14*a + j. Let g(y) = y. Let z(n) = -n**2 + 2*n + 3. Let i(u) = a*g(u) - z(u). Calculate i(6). 3 Let y = -3117 - -3119. Let p(a) = 3*a**3 - 5*a**2 - a + 2. Calculate p(y). 4 Let i be 326 - 4*(1 + (2 - 4)). Let o = -324 + i. Let r(d) = -3*d - 1. What is r(o)? -19 Let m(z) = -3*z. Suppose -17 + 48 + 35 = 33*j. Calculate m(j). -6 Let t(o) be the second derivative of 0 + 10*o - 1/2*o**2 - 5/6*o**3. Let k(b) = 3*b. Let l(z) = -5*k(z) - 2*t(z). What is l(-2)? 12 Let n(m) = m**2 - 9*m. Suppose 0 = o + 3*p, 8*o = 4*o - 3*p. Suppose 21*g - 16*g - 50 = o. Determine n(g). 10 Suppose 2 - 7 = -5*v. Let x(l) = -l**2 - 1. Let m(c) = 21*c**2 + 2*c + 5. Let t(p) = v*m(p) + 4*x(p). Let s = -1223 + 1222. What is t(s)? 16 Suppose -12*t + 97 = -143. Suppose 128*z = 126*z - t. Let y(n) = -n**3 - 10*n**2 - 2*n - 5. Calculate y(z). 15 Let m(b) = 11*b + 159. Let d be m(0). Let j = -153 + d. Let t(k) = -k**3 + 6*k**2 + 2*k - 7. Calculate t(j). 5 Suppose -l - 2 = -x, 0 = 2*x - 4*x + 8. Suppose -h + 2 = t, -h + t - l = 2. Let u(w) = -200 - 4*w + 200. Calculate u(h). 4 Let y(t) = -6*t**3 + 6*t**2 - 16*t - 1. Let u(q) = q**3 - q**2 + 3*q. Let x(m) = -11*u(m) - 2*y(m). Let r = 36912 + -36912. Determine x(r). 2 Let j(v) be the third derivative of -v**5/60 - 7*v**4/24 + 20*v**3 - 18*v**2 - 10*v. Determine j(8). 0 Suppose 18*g - 14*g + 721 = -3*r, 0 = -4*g + 5*r - 761. Let h = -192 - g. Let o(c) = c**3 + 7*c**2 - 8*c + 11. Calculate o(h). 11 Let y(i) = 6 - 1 + 0*i**2 + 3*i - 4 + i**2. Let u = 22 + -19. Suppose -4 = -2*o - 2*p, 20 = -u*o + 5*p - 6. Calculate y(o). -1 Let d(r) = r**2 + 4*r + 1. Suppose 14*g - 12*g - 22 = 0. Suppose -g*m - 35 = -16*m. Suppose 0 = -3*t + m*t + 12. Calculate d(t). -2 Suppose -t - 88 = -2*p - 104, 0 = 2*t + 4*p. Let d(o) = -9*o**2 + 70*o + 2. What is d(t)? -14 Let m(f) be the third derivative of -2*f**2 + 0 + 0*f + 1/24*f**4 + 5/3*f**3. Suppose 3*g + 3*r + 42 = 0, 3*g = 2*g - 3*r - 24. Determine m(g). 1 Let i(k) = 467*k + 26. Let u(r) = 124*r + 7. Let c(h) = 3*i(h) - 11*u(h). What is c(1)? 38 Let r(s) = s**3 - 6*s**2 - 17*s + 3. Suppose -71*g + 1384 = 102*g. Determine r(g). -5 Let b(o) be the third derivative of -o**5/60 - 7*o**4/12 + 17*o**3/2 - 1474*o**2 + 2. Calculate b(-17). 0 Let k be (2*1)/((-50)/(-275)). Suppose -u - 3*f + k = -5*u, 2*u = -3*f + 17. Let r(i) = 2*i + 0 + 1 + 0*i - 14*i. Give r(u). -11 Let p(z) = -26 - 8*z - 37 - 51 + 110. What is p(-1)? 4 Let w(s) = -s**2 + 15*s - 32. Let a(v) = -50*v + v**2 + 84*v - 49*v + 30. Let r(c) = 6*a(c) + 5*w(c). What is r(14)? 6 Let r be (-6)/(-21) + (-38)/(-14). Let a(w) = -4*w + 6*w + 62709 - 62706. Determine a(r). 9 Let x(p) = p**2 - 10*p - 10. Let i be x(11). Let w(d) be the first derivative of 10*d**3/3 + d + 32. Calculate w(i). 11 Let a(k) = k**2 + 9*k - 13. Let r(s) be the third derivative of -11*s**6/120 + s**5/60 - s**4/24 - 2*s**2 - 27. Let w be r(1). Determine a(w). 9 Let t be (-2)/5 + 7/(35/(-123)). Let x be (-5)/3*(t - -19). Let h(a) = a - 15. Calculate h(x). -5 Let y = -142 - -144. Let k(u) = 19*u**2 - 22*u**y + 4*u**2 + 6*u. Give k(-7). 7 Let q(c) = -2*c**2 - 10*c. Let o(b) = b**2 - 7*b - 1049. Let y be o(-29). Give q(y). 0 Let n(k) = k**3 - 3*k**2 - 2*k + 4. Suppose -3*m + 5*v = 95 + 307, -2*m - 2*v - 252 = 0. Let f = 56 + m. Let c = f + 77. Calculate n(c). 12 Let s be (15/(-6))/5*0. Let j(m) = s*m - 7 - m + 3*m. Let f(d) = d**3 + 62*d**2 - 265*d - 71. Let o be f(-66). Give j(o). -17 Let d(m) = 2*m**3 - 32*m**2 + 5*m + 9. Let x be (56/21 + -7)*3. Let t(l) = -l**3 + 15*l**2 - 2*l - 4. Let j(s) = x*t(s) - 6*d(s). Calculate j(4). -2 Let d(q) be the first derivative of -q**4/24 + 2*q**3/3 - q**2/2 - 1. Let y(g) be the second derivative of d(g). Let l = -96307 + 96315. Determine y(l). -4 Suppose 0*i + 2*i + 12 = -4*k, 0 = 4*i - k - 12. Suppose 0 = 4*o + l - 54 - 25, 42 = 2*o - 2*l. Let g(w) = -4 + o - 5*w + w**i - 9. What is g(6)? 13 Let o = 2 + 1. Let a(p) = -388*p - 400*p + 1166*p + 3 - 390*p. What is a(o)? -33 Let u(s) = -10*s**2 + 21*s + s**3 - 20*s - 9 - 5. Let o = 317 - 307. Calculate u(o). -4 Suppose 26*d + 1405 = 1327. Let c(g) = -g**3 - g**2 + 6*g - 2. What is c(d)? -2 Suppose 4*v + 1 = 5. Let l(w) = 13*w**3 + w**2 - w + 1. Give l(v). 14 Let w(r) = 8*r - 13. Let c(f) = 15*f - 26. Let b(u) = -6*c(u) + 11*w(u). Let s = 187 - 176. Give b(s). -9 Let z be (-3 - -1)*24/112*-7. Let u(w) = 2*w**2 + 3*w - 4. Give u(z). 23 Let f(z) be the first derivative of -z**4/4 + z**3/3 - z**2/2 - 7*z - 2. Suppose -13 - 13 = -103*v - 26. What is f(v)? -7 Suppose -2*y - y + 4*u = -35, 2*y = 4*u + 30. Let z be (-21)/14*(-2 + (-8)/12). Suppose -1 = m - 5*v + 4, -z*m + 5 = y*v. Let f(n) = -n + 18. Determine f(m). 18 Let c be (4/2 + -4)*(-464)/32. Let p = -27 + c. Let r(k) = 13 + 2*k + k - p*k + 0*k. Calculate r(-9). 4 Suppose 0 = 47*z - 52*z - 975. Let v = 196 + z. Let x(l) = 23*l**2 - l. Calculate x(v). 22 Let q(d) = -d**3 + 22*d**2 - 22*d + 23. Suppose -2*k - 4*f = -38, 2*k + 13 - 57 = 2*f. Let h be q(k). Let x(l) = 2 - 2*l + h + 2 + 4. Calculate x(8). -6 Let k(l) = 17*l + 43*l**3 - 127*l**3 - 11*l + 40*l**3 + 11 - 6*l**2 + 40*l**3. What is k(-3)? 47 Let w(u) = -u - 5*u + 3*u - 2. Suppose 0 = -4*c + 20, -365 = 2*z + 4*c - 395. Determine w(z). -17 Let h(t) be the second derivative of -1/6*t**3 + 1/60*t**5 + 2*t**2 + 0 + 32*t - 1/8*t**4. Let u(w) be the first derivative of h(w). Calculate u(3). -1 Let c(z) = -z**3 - 12*z**2 + 41*z + 182. Let r be c(-14). Let h(t) = 3*t - 110. Determine h(r). -110 Let i be (-4)/(-1) - (-4 - -6)/2. Let b(l) be the first derivative of 5 + 3*l - 7/2*l**2. Give b(i). -18 Let n(k) = -2*k**2 + 63*k + 194. Let u be n(-3). Let m(v) = -v**3 - 13*v**2 - v - 11. What is m(u)? 2 Let p(l) = -4*l + 68. Suppose -6*a + q - 56 + 147 = 0, -9 = a - 5*q. Determine p(a). 4 Let a(b) be the first derivative of -b**4/4 - 16*b**3/3 + b**2/2 + 20*b + 257. Suppose -12 = -3*p, -2*p = -3*x + 4*x + 8. Determine a(x). 4 Let m(f) = -81692*f - 50 + f**3 + 81692*f. Determine m(0). -50 Let l(s) = s**2 + 8*s + 13. Let m(o) = -2*o**3 + 20*o**
{ "pile_set_name": "DM Mathematics" }
h). -h**3 + 2 Let g(z) = -4*z + 34. Let k be g(10). Let t(d) = 4*d**2 - 4*d + 2. Let f(q) = 7*q**2 - 7*q + 3. What is k*f(w) + 10*t(w)? -2*w**2 + 2*w + 2 Let a(o) = o**3 + 3*o**2 + 3. Let s be a(-3). Let q(i) = -i - 2. Suppose -3*h + 5 = -2*l, 2*h = -2*l + 16 + 4. Let b(j) = 2*j + 4. Calculate h*q(k) + s*b(k). k + 2 Let z(a) = 2*a**2 - 7*a - 5. Let t(w) = -2 - 4*w - 1 + 9 - 9 + w**2. Give 10*t(x) - 6*z(x). -2*x**2 + 2*x Let g(d) = -6*d**2 - 11*d + 5 - 13*d + 13*d. Let m(o) = -4*o**2 - 7*o + 3. Determine -5*g(f) + 8*m(f). -2*f**2 - f - 1 Let n(a) = a + 3. Let k(l) = -3*l - 6. Calculate -3*k(s) - 7*n(s). 2*s - 3 Let x(g) = -g + 1. Let n(q) = 4 - 11 + q + 7*q. Let j = -112 - -98. Determine j*x(c) - 2*n(c). -2*c Let a(g) = -12*g**2 - 3*g + 11. Let x(s) = 23*s**2 + 5*s - 22. Let f(h) = -5*a(h) - 2*x(h). Let y(d) = -9*d**2 - 3*d + 7. Calculate -5*f(o) - 8*y(o). 2*o**2 - o - 1 Let p(l) = 7*l + 3. Let c be -8 - -5 - -6*(-4)/12. Let w(m) = 8*m + 4. Calculate c*w(h) + 6*p(h). 2*h - 2 Let o = -12 + 6. Let k(z) = -20*z**2 + 11*z + 23. Let b(l) = 7*l**2 - 4*l - 8. Determine o*k(u) - 17*b(u). u**2 + 2*u - 2 Let b be 15 + (0 - -1)*0. Suppose b = 2*k + k. Let s = k - 6. Let t(l) = 4*l + 2. Let r(v) = -v. Determine s*t(p) - 2*r(p). -2*p - 2 Let l(s) = -5*s**2 - 1 + 4 + 6*s**2 + 2*s - 4. Let x(y) = 2*y**2 + 2*y - 1. Let w = -2 - 2. Let z be 2 - (-4)/(w/5). Give z*l(q) + 2*x(q). q**2 - 2*q + 1 Let i(z) = -5*z - 4. Let h(o) = -18*o - 22. Suppose 2*j - 2 = -n, 4*j + 1 + 7 = 4*n. Let s(y) = -6*y - 7. Let q(d) = n*h(d) - 7*s(d). Determine 5*i(g) + 4*q(g). -g Let g(y) = -23*y - 115. Let t(p) = -1. What is -g(h) + 115*t(h)? 23*h Suppose -3*c + 2 = -4, -5*s = 5*c + 25. Let q(k) = -k**2 - 2*k - 2*k + 8*k. Let x(t) = -4*t**2 + 13*t + 1. What is s*q(j) + 2*x(j)? -j**2 - 2*j + 2 Let q(v) = v + 24. Let o(h) = 1. Calculate -5*o(y) - q(y). -y - 29 Let g(a) = a - 16. Let y(w) = 2*w - 33. What is -7*g(q) + 3*y(q)? -q + 13 Let v(n) = -n. Let a(g) = -1. Let x(h) = -h - 5. Let f be x(-6). Let y(r) = -2 + 4*r + 3 - 4. Let u(j) = f*y(j) - 2*a(j). What is u(z) + 6*v(z)? -2*z - 1 Let j(l) = l + 0*l - 2 - 2 + 1. Let g(r) = -r - 3 + 6 + 1. What is -4*g(o) - 6*j(o)? -2*o + 2 Let a(g) = 3*g**3 + 6*g + 11*g**2 - 11*g**3 - 16*g - g**2. Let c(i) = i**3 - i**2 + i. Calculate a(r) + 10*c(r). 2*r**3 Let q(z) = 9*z - 5. Let o(f) = 14*f - 8. Let i = -35 + 30. Give i*o(c) + 8*q(c). 2*c Let d(x) = -7*x + 5. Let w(q) = -8*q + 16. Let g(j) = 1. Let a(t) = -10*g(t) + w(t). Let c be (-64)/(-10) + (-4)/10. Give c*d(i) - 5*a(i). -2*i Let j(o) = -6*o - 2. Let u(g) = 9*g + 3. Calculate -8*j(m) - 5*u(m). 3*m + 1 Let i(h) = h**3. Let d(g) = -2*g**3 + 3*g**2 + 2*g. Give -d(c) - 5*i(c). -3*c**3 - 3*c**2 - 2*c Let j(i) be the second derivative of -3*i**5/20 - i**4/6 + i**3/3 - 3*i. Let t(z) = -13*z**3 - 9*z**2 + 8*z. Determine 9*j(q) - 2*t(q). -q**3 + 2*q Let f(i) = -i**2 - 9*i + 4. Let v be f(-9). Let c(z) = z - 1. Let x(q) = -q + 1. Calculate v*x(t) + 5*c(t). t - 1 Let a(d) = -4*d. Let o(z) = -z. Let p(l) = 2*a(l) - 9*o(l). Suppose 5*k = 5, 4*c - k - 6 = -3*k. Let f(s) = 1. Determine c*f(w) - p(w). -w + 1 Let h(r) = -23*r - 17. Let n(p) = 8*p + 6. Let f(v) = -6*h(v) - 17*n(v). Let d(m) be the first derivative of -m**2/2 - 51. Determine -6*d(z) - 4*f(z). -2*z Let i(t) = t**2 - t. Let x(d) = d**3 + 5*d**2 - 5*d. Determine 10*i(h) - 2*x(h). -2*h**3 Let t(g) = 29 - 3*g**2 + 2*g**2 - 29. Let k(q) = 3*q**2 - 1. Calculate -k(v) - 6*t(v). 3*v**2 + 1 Let s(n) = 7*n**3 - 2*n**2 + n + 4. Let u(h) = h**3 + h**2 + h - 1. Calculate s(k) + 2*u(k). 9*k**3 + 3*k + 2 Let g(l) = -2*l**3 - 9*l**2 - 11*l + 4. Let x(n) = n**3 + 5*n**2 + 6*n - 2. Give -6*g(r) - 11*x(r). r**3 - r**2 - 2 Let w(i) = -i. Let f(v) = 2*v - 1. Give f(h) + 5*w(h). -3*h - 1 Let s(h) = 20*h**3 - 3*h - 5. Let d(j) = -10*j**3 + j + 2. Give -5*d(b) - 2*s(b). 10*b**3 + b Let m(u) = -2*u + 12 - 8*u + u - 3. Let l(x) = 5*x - 5. Give 11*l(f) + 6*m(f). f - 1 Let y(m) = 9*m**3 - 9*m - 6. Let l(p) = 3*p**3 - 3*p - 2. Give -11*l(g) + 4*y(g). 3*g**3 - 3*g - 2 Let f(w) = -5*w**3 - w**2 + w - 3. Let m(t) = 4*t**3 + t**2 - t + 2. Give -5*f(r) - 6*m(r). r**3 - r**2 + r + 3 Let g(f) = -7*f + 1. Let r(j) = -10*j + 2. Give 7*g(m) - 5*r(m). m - 3 Let a(t) = 3 + 1 - 3. Let i be ((-5)/5)/((-1)/5). Let v(w) = -4*w**2 + 10 + 5*w**2 + 0*w**2 + 2*w - i. What is -5*a(j) + v(j)? j**2 + 2*j Let u(x) = -4*x**3 - 6*x**2 - 2*x + 1. Let a(l) = l**3 + l**2. What is 3*a(z) + u(z)? -z**3 - 3*z**2 - 2*z + 1 Let k(b) = 3*b**3 + 1 + b**2 - b**2 - 5*b**2 - 4*b - 3. Let n(t) = -t**3 + t**2 + t + 1. What is k(c) + 2*n(c)? c**3 - 3*c**2 - 2*c Let f(z) = 2*z**3 + 4*z - 4. Let b(l) = -3*l**3 - 5*l + 8. Let i be (-16)/5 + (-1)/(-5). Let q(w) = 1. Let a(x) = i*q(x) + b(x). Determine -4*a(o) - 5*f(o). 2*o**3 Let f(i) = i**3 - i**2. Let v = 7 - 17. Let l(k) = 18*k**3 - 11*k**2. Let x(g) = -34*g**3 + 21*g**2. Let o(b) = 11*l(b) + 6*x(b). Determine v*f(a) - 2*o(a). 2*a**3 Let o(h) = -15*h - 3. Let x(s) = -22*s - 5. Calculate -8*o(d) + 5*x(d). 10*d - 1 Let v(t) = 8*t + 4. Let z(o) = 7*o + 3. What is -6*v(d) + 7*z(d)? d - 3 Let t be -8 + 1 - (-2 + 1). Let m be -3 + 2 + 3 - -2. Let u(v) = 0*v**2 + 0*v**2 + v**2 + 5 - m. Let s(g) = 4*g**2 - 2*g + 6. Determine t*u(d) + s(d). -2*d**2 - 2*d Let o(s) = -s**2 + s - 1. Let t(d) = d**3 + 8*d**2 - 9*d + 10. Let h be 49 - (0 - 2) - 0. Let z = h + -90. Let w = z + 57. Calculate w*o(p) + 2*t(p). 2*p**3 - 2*p**2 + 2 Suppose -2*y + 2*m = 14, 4*y - m + 15 = -7. Let g(z) = 6*z - 4. Let v(f) = 7*f - 5. Give y*g(r) + 4*v(r). -2*r Let t(i) = -3*i**3 + 11*i**2 + 11*i + 11. Let j(b) = 63*b + 72*b - 2 + 5 - b**3 - 132*b + 3*b**2. Determine 22*j(d) - 6*t(d). -4*d**3 Let q be 5/(-4 - 20/(-4)). Let j(r) = -4*r - r**3 - r**2 + r**2 + 6*r**2. Let n = 3 + -4. Let i(z) = z**2 - z. Calculate n*j(w) + q*i(w). w**3 - w**2 - w Let l(w) = -w + 1 + 0*w + 0*w. Let t(i) = -14*i + 4*i + 14*i - 3. What is 6*l(r) + 2*t(r)? 2*r Let f(k) = 3*k - 11. Let c(w) = w - 5. Suppose -u = 4*q - 23, -2*u = 3*u + 3*q - 47. Give u*c(r) - 3*f(r). -2*r - 2 Let o(x) = x + 2. Let m be o(6). Let p(h) = -4*h - 7. Let y(a) = a - 13*a - 7 + 5 - 20. Let g(w) = 18*w + 33. Let i(z) = 5*g(z) + 7*y(z). Give m*p(d) + 5*i(d). -2*d - 1 Suppose 0 = -v - 3. Let o(x) = -2*x**2 - 3*x. Let n(t) = -2*t**2 - 3*t - 1. Let k(l) = -3*n(l) + 4*o(l). Let h(s) = -s**2 - s + 1. What is v*h(g) + k(g)? g**2 Let s(r) = -r**3 + 2*r**2 + 5*r - 2. Let p(x) = -4*x**3 + 11*x**2 + 25*x - 11. Determine -2*p(z) + 11*s(z). -3*z**3 + 5*z Let u(d) = 4*d**2 + 3. Let j(w) = w**2 + 1. Determine 15*j(b) - 5*u(b). -5*b**2 Let a(b) = b + 1. Let g(p) = -5*p - 45 + p + 35. Let h be g(-4). Let v(l) = -4*l - 2. Calculate h*a(r) + 2*v(r). -2*r + 2 Let f(b) = 3*b**3 - b. Let j(x) = x. Suppose 2*w + 16 = -l - w, 0 = -2*l - 4*w - 22. What is l*f(u) - j(u)? -3*u**3 Let r(n) = 21*n. Let j(k) = -k**2 + 41*k - 1. Give -2*j(t) + 5*r(t). 2*t**2 + 23*t + 2 Let c(n) = 21*n + 1 - 11*n - 6*n. Let d(s) = s. Determine 2*c(g) - 9*d(g). -g + 2 Let b(t) = -1. Suppose 0 = 2*q + 2*o + 4, -q + 4*o = -2 - 16. Let a(l) be the first derivative of -2*l + 1/2*l**q - 1. Determine -a(w) + 3*b(w). -w - 1 Let r(u) = -4*u**3 - 5*u**2 + 5*u. Let l(y) = 3*y**3 + 4*y**2 - 4*y. Suppose -7*v + 14*v = 28. What is v*r(j) + 5*l(j)? -j**3 Let y be 2 - 22/4*2. Let m(x) = -4*x + 2. Let u = 10 - 8. Let s(k) = -u*k + k + 1 - 3*k + 2*k. Give y*s(r) + 4*m(r). 2*r - 1 Let p(c) = c**2 - 2*c - 2. Let x(s) be the third derivative of -s**5/60 + 20*s**2. What is p(g) + 3*x(g)? -2*g**2 - 2*g - 2 Suppose -5*b = -2*b + 15. Let m(o) = -6*o + 5*o - 6*o. Let j(s) = 6*s. Determine b*j(c) - 4*m(c). -2*c Let n(t) = 15*t - 33. Let l(m) = m - 2. Let o be 2/3*-3 + (10 - 12). Determine o*n(j) + 66*l(j). 6*j Let x(j) = -8*j + 8. Let f(h) = 17*h - 17. Determine -6*f(q) - 13*x(q). 2*q - 2 Let j(m) = -m + 1. Let s be j(7). Let u(n) = 4*n - 44. Let p(r) = 1. Let c = -5 - -3. Let a(q) = c*u(q) - 88*p(q). Let w(t) = -17*t. Give s*w(d) + 13*a(d). -2*d Let g(v) = 5*v - 7. Let h(b) = b. Let t(p) = -g(p) + 6*h(p). Let d = 7 + -12. Let y(q) = -1. Let a(x) = -1. Let s(j) = 3*a(j) - 4*y(j). What is d*s(k) + t(k)? k + 2 Suppose -2*z = 2*r - 8, 15 = 4*r - 0*r + 3*z. Let a(q) = 3 + 3*q - r*q**2 + 0*q**2 + 5*q**2 - q**2. Let h(w) = w**2 + 2*w +
{ "pile_set_name": "DM Mathematics" }
9*w**2 Find the first derivative of -176*u**4 - 24*u**3 + 42*u**3 - 19*u**3 - 807 - 312*u**4 + 2848 wrt u. -1952*u**3 - 3*u**2 Suppose -35*g = -44*g + 18. What is the second derivative of -5*f**4 + g + 22*f**3 + 3*f**3 - 41*f**3 - 23*f wrt f? -60*f**2 - 96*f Let h(c) be the third derivative of 9769*c**4/24 + 5681*c**3/6 + 4536*c**2. Differentiate h(r) wrt r. 9769 Suppose z + 3*z = -3*g - 315, 0 = -4*z + 5*g - 275. Let n = 77 + z. What is the second derivative of 6229*k**n - 36*k - 6229*k**2 - 27*k**3 wrt k? -162*k Let f(n) = -n**3 + 31*n**2 - n + 34. Let x be f(31). Suppose -1 = h - 3. What is the first derivative of 392*i**2 - 12 - 392*i**h + 20*i**x wrt i? 60*i**2 Let s(r) = 15229*r**2 - 1220*r - 8. Let y(j) = -7614*j**2 + 619*j + 4. Let l(b) = -4*s(b) - 7*y(b). What is the second derivative of l(c) wrt c? -15236 Let k be 2 - (-18)/(2 + 0). Suppose -10702 = -2*b - 10698. What is the second derivative of -28*c + 11*c**b + 1 + 10 - k wrt c? 22 Suppose -j + 40 + 22 = 4*l, l + 2*j - 12 = 0. Differentiate -37*a + 1 - l + 38 with respect to a. -37 Let w(f) be the third derivative of -965*f**8/336 + 619*f**5/15 - 21*f**2 + 33*f. Find the third derivative of w(t) wrt t. -57900*t**2 What is the first derivative of -61*u**3 + 1006*u - 256 + 505 + 353 - 1006*u wrt u? -183*u**2 Let m(d) be the first derivative of 1157*d**4/4 + 1323*d + 318. Differentiate m(p) with respect to p. 3471*p**2 Find the second derivative of -41*c**3 + 802*c + 57*c**3 - 16*c**3 - 53*c**4 wrt c. -636*c**2 Let y(l) be the first derivative of 53 - l - 9/2*l**4 - 1/3*l**3 - 9*l**2. What is the second derivative of y(h) wrt h? -108*h - 2 What is the derivative of -75*j**3 - j**2 + 79*j**3 + 317*j**3 - 154*j - 3979 + 154*j wrt j? 963*j**2 - 2*j Let d(q) be the first derivative of -3*q**7/7 - 162*q**5/5 + q**4/4 + 4616*q**3/3 - 5211. Find the third derivative of d(b) wrt b. -360*b**3 - 3888*b + 6 Let q be (-2)/(-3)*93/2. What is the second derivative of -q*a - 842*a**3 + 2 + 1681*a**3 - 838*a**3 + 84*a**2 wrt a? 6*a + 168 Let l = 191 - 183. Find the third derivative of -14*w - w**5 + 9*w**3 + 15*w - l*w**3 - 13*w**2 wrt w. -60*w**2 + 6 Let o(z) be the third derivative of 155*z**9/252 - z**5/30 - z**4/2 - 706*z**2. Find the third derivative of o(r) wrt r. 37200*r**3 Let v(c) = 7*c - 17. Let t be v(5). Find the second derivative of -t + 7 + 12*s**4 + 4 - 5*s + 6*s**2 + 4 wrt s. 144*s**2 + 12 Let z(u) be the third derivative of -339*u**6/10 + 323*u**4/2 + 55*u**2 - 9. What is the second derivative of z(s) wrt s? -24408*s Let m(r) be the first derivative of 2021*r**3/3 - 844*r**2 + 2*r - 8942. What is the second derivative of m(l) wrt l? 4042 Find the third derivative of -10 - x**4 - 4 - 119*x**2 + 165*x**6 + 132*x**2 + 6 wrt x. 19800*x**3 - 24*x Let i(q) = -4*q - 14. Let t be i(-5). Suppose -2 = f - t. What is the derivative of -f*o**3 + 15*o**3 + 66 - 80 wrt o? 33*o**2 Let a be 4/(-24) - (-627)/(-18). Let l = a + 37. Find the second derivative of -5*n**2 + 2*n + 9*n**l + 9*n**2 - n wrt n. 26 What is the second derivative of 10 - 557*d - 756*d**3 + 4 + 26 - d**2 - 622*d + 1112*d wrt d? -4536*d - 2 Let i(b) be the third derivative of -3601*b**8/336 + 2785*b**4/24 - 3347*b**2 + 2*b. Find the second derivative of i(p) wrt p. -72020*p**3 Let d(g) be the second derivative of -2*g**6/15 + 241*g**5/20 + 133*g**4/2 - 1851*g. Find the third derivative of d(o) wrt o. -96*o + 1446 Let y(u) be the second derivative of u**6/6 - u**5/10 + 7*u**4/12 - u**3/3 + 482*u**2 - 1813*u. What is the second derivative of y(r) wrt r? 60*r**2 - 12*r + 14 Suppose 16 = -13*j + 17*j. Find the third derivative of g**6 + 41*g**2 - 37*g + 37*g + 8*g**j wrt g. 120*g**3 + 192*g Find the second derivative of 123*z - 11*z - 393784*z**2 + 394258*z**2 + 54*z wrt z. 948 Let z(k) be the first derivative of 0*k**4 + 24/5*k**5 + 0*k**3 - 246*k - 252 + 0*k**2. Differentiate z(d) with respect to d. 96*d**3 Let w(h) be the second derivative of 0 - 19/6*h**4 + 13*h + 0*h**2 + 37/6*h**3. What is the second derivative of w(q) wrt q? -76 Let c = 67 + -64. Let t(d) be the first derivative of 17 + 0*d**c + 0*d**4 - 2*d + 0*d**2 - 16/5*d**5. Differentiate t(i) with respect to i. -64*i**3 Let o(s) be the first derivative of -41*s**4 + 2*s**3/3 - s**2 + 443*s + 624. What is the second derivative of o(n) wrt n? -984*n + 4 Find the second derivative of -q**2 - 1103*q - 17*q**3 + 14*q**2 + 17*q**3 + 5*q**5 - 246*q wrt q. 100*q**3 + 26 Let w(m) be the third derivative of m**4/6 - 2*m**3/3 - 4*m**2. Let n be w(2). Find the third derivative of -5*r**n + 5*r**2 + 8*r**2 - 4*r**2 wrt r. -120*r Let k = -385 - -420. What is the second derivative of 11*x + 7*x**2 + k - 12*x + 86*x**4 - 3*x**2 - 6*x**2 wrt x? 1032*x**2 - 4 What is the derivative of 1513 - 609 + 5384*v + 274 + 113 + 2223 wrt v? 5384 Let k(f) be the second derivative of f**6/15 - 11*f**5/2 + f**4 + 297*f**3 - 4824*f. Find the second derivative of k(h) wrt h. 24*h**2 - 660*h + 24 Let s be ((-10)/(-20))/(2/52). Suppose s*a - 186 = 100. What is the second derivative of -5*q**3 - a*q - 14*q**3 + 29*q - 7*q**3 wrt q? -156*q Find the second derivative of -1 - 652*n - 1012521*n**2 + 221*n + 1010508*n**2 wrt n. -4026 Suppose 1596 = 33*u - 4080. What is the derivative of u + 112*l + 4*l - 28*l + 33*l wrt l? 121 What is the second derivative of -12*g + 44*g - 121*g**5 - 3*g**4 + 40 - 37*g - 8*g**5 wrt g? -2580*g**3 - 36*g**2 Let o be (-12)/(-2) - (-9 + -258). Find the first derivative of 135 - 356 + d + d - 2*d + o*d**4 wrt d. 1092*d**3 Let u(a) = 1025*a**3 - 5*a**2 - 658*a. Let p(q) = 5130*q**3 - 24*q**2 - 3291*q. Let h(o) = 5*p(o) - 24*u(o). Find the second derivative of h(v) wrt v. 6300*v Suppose -3*b + 2*b + 4 = 0. What is the derivative of -18*l**4 + 95*l**b + 36 - 8*l**4 wrt l? 276*l**3 Let l(x) = 2790*x**2 - 7*x + 3271. Let p(i) = 5579*i**2 - 13*i + 6527. Let o(s) = -13*l(s) + 7*p(s). Differentiate o(z) with respect to z. 5566*z Suppose -r = -6*r + 10. Suppose 5*j = -3*t + 11, -r*t + 3*j = 3*t - 7. What is the derivative of 2*p**2 - p**2 - 15 - p**2 + p**t wrt p? 2*p Let b(g) be the first derivative of 4*g**7/3 - 40*g**3/3 + 46*g - 72. Let w(c) be the first derivative of b(c). Find the second derivative of w(q) wrt q. 1120*q**3 Let i(k) be the third derivative of -59*k**4/6 + 776*k**3/3 + 1785*k**2. What is the first derivative of i(n) wrt n? -236 Let q = 69 + -148. Let j = -77 - q. Find the first derivative of 24 - 4*v - 4*v + j*v + 5 wrt v. -6 Let r(l) = l**3 + 10*l**2 + 11*l + 4. Suppose 2*b + 32 = -5*y, 5*b + 7 - 43 = 2*y. Let c be r(y). What is the derivative of -5 - 1 - c*t + 18*t + 16*t wrt t? -10 Differentiate 76*c**3 - 70*c**3 - 40*c**4 + 1281 + 541464*c**2 - 541466*c**2 wrt c. -160*c**3 + 18*c**2 - 4*c What is the second derivative of -3*a**2 + 1 + 2 - 47682*a + 44542*a - 3 - 2*a**5 - 6*a**3 wrt a? -40*a**3 - 36*a - 6 Let s(k) be the second derivative of -10*k + 0*k**3 - 1/12*k**4 + 0 - 1/10*k**5 - 1/6*k**6 - 6*k**2. What is the third derivative of s(g) wrt g? -120*g - 12 Let h(s) = 6*s**2 - 21*s + 21. Let v be h(6). Find the second derivative of v*l + 469*l**2 - 424*l**2 + 0 + 0 wrt l. 90 Suppose 6 = -2*j, -x - 14 = x - 4*j. Let t = x - -20. What is the third derivative of -8*l**2 - t*l**4 + 3*l**4 + 3*l**4 wrt l? -24*l Let a(d) = 77*d + 94. Let l(m) = -231*m - 283. Let s(q) = 2. Let n(k) = -l(k) - 2*s(k). Let z(u) = 7*a(u) - 2*n(u). What is the derivative of z(r) wrt r? 77 Let a(z) be the second derivative of -7*z**5/10 - 18*z**3 + 840*z**2 - 2625*z. Differentiate a(n) with respect to n. -42*n**2 - 108 Suppose 254 + 116 = 5*s. Find the third derivative of q**5 + 27*q**3 - s*q**2 - 1649*q**4 + 1649*q**4 wrt q. 60*q**2 + 162 Let h be -5*8/(-60)*18. Let x = h + -12. Differentiate -3 + 1 + x - 20*m**3 - 5 with respect to m. -60*m**2 What is the second derivative of 3139 + 3*m - 110*m**3 - m + 111*m**3 - 209*m**2 - 1369*m**2 wrt m? 6*m - 3156 Let u(k) = -10 - 3*k + 90*k**2 - 162*k**2 + 4 + 85*k**2. Let n be u(2). What is the third derivative of -310*i + 310*i - n*i**2 + 31*i**5 wrt i? 1860*i**2 Find the third derivative of 3*i**5 - 3 - 298*i**3 - 112*i**2 + 2049*i**2 + 3 - 66*i**2 wrt i. 180*i**2 - 1788 Let t be ((-304)/(-114))/(4/6). Find the second derivative of 113 - 133*m**t
{ "pile_set_name": "DM Mathematics" }
*r + 33375. Let i = v - 2573. Is i prime? False Suppose h + 3*h - y - 63 = 0, -2*y + 69 = 5*h. Suppose 4*u - h = 4*v + 5, 2*u - 1 = -v. Is (-4 + (-2190)/(-2))*(-1 + u) composite? False Let g = -185 - -192. Is 838 + -5 + g + -1 prime? True Let p be (-12)/(-16)*(-13 - -53). Suppose p*i = 33*i - 30111. Is i a composite number? False Let s(f) = 2*f**2 + 14*f + 56. Let x be s(13). Suppose 2*z - 679 = -3*y, -2*y = 2*z - 0*y - 680. Let c = x + z. Is c prime? False Suppose -64*h = -156*h + 6910396. Is h a composite number? True Let d be (-4)/6 + 88/24. Suppose -d*g = -2*g. Suppose -m - 3*y + 676 = 0, g*y + y - 682 = -m. Is m composite? True Let k(z) = 61*z**2 - 39*z - 4. Let a be k(3). Let r = a - 177. Is r a composite number? False Let q = 374801 + 214576. Is q prime? False Let d(o) = -26*o + 210. Let z be d(8). Suppose -z*p = -5*c - 2837 + 10716, -2*p = -6. Is c a composite number? True Is 4*(7 - (-1898535)/30) a composite number? True Let k = 521899 - 352640. Is k composite? False Let h = -20271 + 37648. Is h a composite number? False Let t be (1/2)/(45/(-12505320)). Is t/(-9) + (-5)/(-15) a composite number? False Let h(x) = 739*x**2 + 29*x + 43. Is h(6) prime? True Is (-13990)/10*(-22 - 1) a composite number? True Suppose -133 = 5*a - 173. Suppose a*g - 7563 = -5*h + 12*g, -3*h = -g - 4535. Is h a prime number? True Suppose 0 = 4*s + 2*p - 395838, 8*p - 13*p = -3*s + 296872. Suppose -5*l + 4*l - q = -32997, 0 = 3*l - 5*q - s. Is l a prime number? True Let o(z) = -z + 11. Let i be o(5). Let n = -1759 + 1765. Is (1772/n)/(i/9) a prime number? True Let w(s) = 9*s**2 - 14*s - 2409. Is w(-116) prime? True Let o(v) = 67*v**2 - 5*v - 14. Let y be o(-4). Suppose y + 5284 = 2*s. Is s a prime number? True Suppose 4*k + 56 = 4*u, -4*u + k - 3*k = -68. Let l be ((-1)/(-3))/(u/96). Is (-4)/8*-31*l a prime number? True Let c be (-3 - -18) + (0 - 6). Suppose 0 = c*a - 21274 - 7283. Is a prime? False Suppose u - 5*j = 3, 13*j - 27 = -3*u + 10*j. Suppose 4*y = u*y + 3*s - 51013, 5*s = 3*y - 38296. Is y composite? False Let j be (-483)/(-92) + 6/8. Is (j - 10922)*(0 + (-2)/8) a composite number? False Suppose -3*x - 684 = 1095. Let b = x - 733. Is ((-1)/3 - b/(-18))/(-2) a prime number? True Let u be ((-12)/(-10))/(111/(-29230)). Let a be ((-2286)/(-15))/(2/10). Let f = a + u. Is f composite? True Let t = 0 + 0. Suppose -55900 - 87860 = -40*f. Suppose t = -10*k + 4*k + f. Is k composite? False Let u(k) be the second derivative of -4628*k**3/3 - 51*k**2/2 + 94*k. Is u(-4) a composite number? False Suppose 3*s - 4*f + 18452 = 0, 2*s + 2*f + 3*f = -12309. Let n = 14853 + s. Suppose 9*g - n = 8102. Is g a composite number? False Let g be (5 + -8)/(12/(-20)). Is 487 - (g/1 + -10 + 5) prime? True Suppose 0 = -0*m - m + 9. Suppose -8803 = -6*c + 935. Is (2 - 15/m)*1*c prime? True Let f(b) = -8658*b + 6485. Is f(-16) a prime number? False Let a(o) = o**2 - 6*o - 33. Let r be a(10). Let s = r + -33. Is (s - 0)*((-9)/(-6) - 7) prime? False Is (-21)/6 + (-8406835)/(-190) prime? False Suppose 4*m - 480466 = -5*a - 106709, -224256 = -3*a - 3*m. Is a composite? True Suppose f = 4*u - 367992, 32*f - 31*f = 5*u - 459989. Is u prime? True Let d(w) = w**3 - w**2 + w. Let j(b) = b**3 - b**2 + 17*b - 9. Let z(v) = 3*d(v) - j(v). Let c be (-88)/(-9) - (-6)/27. Is z(c) prime? True Let b be ((-15)/(-6))/(-5) - 34/(-4). Is b/64 - (-27095)/8 composite? True Suppose -8*q + 806468 = -681108. Is q composite? False Let u = -248 - -251. Suppose n + 3*n + 5*f = 17007, -u*f - 21305 = -5*n. Is n a prime number? False Suppose 0 = -4*j - j - 5*s - 70, -56 = 4*j - s. Let m(l) = l + 24. Let u be m(j). Suppose -u + 482 = h + 3*q, -4*h + 5*q + 1973 = 0. Is h a prime number? True Let y be -3*3/(-27)*-15. Let h(d) = d**2 + 8*d + 12. Let w be h(y). Is 6*(104 + w) + 5 prime? False Let w = -14047 - -5094. Let j = 12962 + w. Is j composite? True Is (-368967)/(-87) - (1 + -13) a prime number? True Let o(b) = -b**3 - 2*b**2 + b - 2. Let t be 12/(9/3) - 7. Let x be o(t). Suppose 4*n - 3*r - 488 = 2*n, x*n - 980 = 4*r. Is n prime? False Let y(v) = -v**3 - 44*v**2 - 96*v + 85. Is y(-56) prime? True Suppose -1185622 = 17*q - 3963371. Is q prime? False Let s(p) = -66*p**2 + 1. Let j be s(1). Let z = j - 341. Let v = z - -1467. Is v composite? False Let v = -20527 + 46610. Is v a composite number? False Suppose -70*i + 82 = -68*i. Suppose -i*a + 54996 = -29*a. Is a a prime number? True Suppose 4*v + v - 320765 = 0. Suppose -4101 = 4*d - v. Is d a composite number? False Let z be (69 - 0) + -3 + 4. Let b = -346 + 327. Let p = b + z. Is p a prime number? False Suppose f - 4*v = -137735, -3*v + 140366 = -f + 2636. Is f/(-25) + (-3 - 51/(-15)) prime? False Let d = 5219 + -4056. Is d composite? False Let o be 14/1155*11 + (-489836)/(-30). Let h = o - 8697. Is h a prime number? False Let r = 14847 + 20130. Suppose -6*y - 3183 + r = 0. Is y prime? False Let q = 268595 - 142912. Is q composite? False Let v(g) = 62*g**3 + 49*g**2 - 20*g - 167. Is v(22) a prime number? False Let w(u) = 133*u + 2243. Let h be w(-17). Let n be -2 - 3*-1 - 1. Is (n + -3)/(h/27942) composite? False Let j be 363/(-297) + (-2)/(-9). Is (j - -98)*(-42 + 109) a prime number? False Suppose 2*g + g + 15 = 5*y, -2*g = 5*y - 40. Let l be (3/6)/(1 - y/8). Suppose -f - 4*q + 408 = f, 208 = f - l*q. Is f a composite number? True Let q = 134 - -334. Let j = q + 1595. Is j composite? False Suppose -132*b + 63*b = -80*b + 3569071. Is b a prime number? False Suppose 0 = -3*h - 5*u + 16, h = -0*u + 3*u - 4. Suppose 3*q = h*q + 16817. Suppose 4*v - q = -4749. Is v a prime number? False Let h(v) = v + 6. Let m be h(-4). Suppose 7*g + 13 = -n + m*g, -5*n + 5*g = -55. Suppose -n*z + 2510 + 3937 = 0. Is z a prime number? False Suppose 0 = -p - 2 + 1697. Let k = 5104 - p. Is k prime? False Suppose -23 = -4*u - t - 2*t, 2*u + 4*t - 4 = 0. Let f(m) = 4*m - 29. Let v be f(u). Is 0/2 - (-533)/(-2 + v) composite? True Let w(n) be the second derivative of 11*n**5/60 + n**4/24 - 11*n**3/6 - 9*n**2 - 13*n. Let f(y) be the first derivative of w(y). Is f(-7) prime? True Suppose 26*z + 73 = -31. Is ((-349119)/(-9) - 4) + z a prime number? True Let d(t) be the second derivative of -2*t**3 + 5*t**2 + 32*t. Let k be d(3). Let f = 985 + k. Is f composite? True Suppose -160*u = -50*u - 40*u - 15155630. Is u a composite number? False Suppose 3*i - 33212 = -v, -88*v + 92*v - 132832 = -4*i. Is v prime? False Let b = -411967 + 603031. Suppose -31*a = -7*a - b. Is a prime? False Suppose 240*l - 89792 = 224*l. Suppose -z = z - 2*j - l, -11242 = -4*z - 2*j. Is z a prime number? False Suppose 8*l = -314743 + 782255. Is l a composite number? False Let k = -29771 + 17741. Let f = k - -19121. Is f a prime number? False Suppose -1756352 = 21*d - 5272646 - 2898387. Is d a composite number? True Suppose -50*u = -47*u - 87. Let v be 94*u*(3 + -2). Let p = 3841 - v. Is p prime? False Suppose -29*x + x = 29*x - 7615941. Is x a composite number? True Is 2/(-2) + 35395 - (-761 + 754) a composite number? False Suppose 3*s - 27 - 9 = 0. Let g be 29402/7 + s/(-42). Suppose i + 4*a = 1395, -3*i + a + 2*a + g = 0. Is i prime? True Suppose 17*k = 7*k + 30. Suppose k*v - 2*v = -4. Is v/((-20)/6045) - -4 composite? False Suppose t - 41 = -34. Let u(h) = 40*h**3 - 22*h**2 + 44*h - 9. Is u(t) prime? True Suppose -134*j + 263443 = 2*l - 133*j, 2*j = -6. Is l a composite number? True Let f(v) = 78*v**2 - 8*v + 4. Let u(x) = -78*x**2 + 7*x - 5. Let c(y) = -2*f(y) - 3*u(y). Let m be 6/(54/(-45)) + 8. Is c(m) prime? False Let o(s) = -2731*s**3 + 2*s + 2. Let r be o(-1). Suppose 5*d + 3*l = 10*d - r, 2174 = 4*d + 3*l. Is d composite? True Let o(n) = -55*n + 21. Let q be o(-4). Let m = q + -144. Is m a prime number? True Let f = 3591 - 3135. Let m be (3 - 1) + (1 - 1). Suppose 0*p + 3*l + 307 = m*p, -f = -3*p + 3*l. Is p a composite number? False Let d(y) = -18*y - 34. Let c be d(-2). Is 109/3*(91 + -4) + c composite? False Suppose 9*f + 10*f = -950. Let u = 971 + f. Is u prime? False Let v(s) = 7069*s - 587. Is v(4) composite? False Suppose 6 = 15*g - 13*g. Let f(x) = -4*x - 10. Let j be f(-3). Suppose -2*w - g*w = -5*h - 2010, -789 = -j*w + 5*h. Is w a prime number? False Let g be (28 - -1952)*(-34)/(-3). Let d
{ "pile_set_name": "DM Mathematics" }
3 + -1.27924353. -0.97924353 What is the distance between 843 and -1581754? 1582597 What is -297.7909 take away -0.03? -297.7609 Subtract 173.444993 from 9. -164.444993 Sum 169260430 and 2. 169260432 What is -0.2 minus 1304049? -1304049.2 37.45339+3 40.45339 Add 26.307 and -3.80849. 22.49851 Add 0.01937 and -0.77652. -0.75715 Work out -32239 - -4691. -27548 What is the difference between 142 and -36666.9? 36808.9 Add together -13.5 and 15121.0844. 15107.5844 Calculate -8.16 - 41470. -41478.16 Calculate -3.4121849459 + 0.3. -3.1121849459 What is -0.05043 take away 3627? -3627.05043 Subtract -26 from -153518. -153492 Work out 977 - -0.4135. 977.4135 Sum -1.16 and -4.70097917. -5.86097917 What is the difference between -0.11 and -8.59202903? 8.48202903 What is -2939.7 minus -75.4? -2864.3 Put together 8 and -446935659. -446935651 What is -145641 take away 50.3? -145691.3 What is 1644.4752 + -42? 1602.4752 Subtract -1 from -54941706.54. -54941705.54 0.1 + -0.0711056009 0.0288943991 What is the difference between 2965472 and 201? 2965271 Add 5319396.4 and -23. 5319373.4 What is 18.98 - -886396? 886414.98 Work out 581 - 638509. -637928 Calculate -1 + -0.1705538991. -1.1705538991 What is -75265999 plus 1.1? -75265997.9 Add -0.18 and 284663.51. 284663.33 Put together 1.3341 and -932394. -932392.6659 0.41 + -0.0932808 0.3167192 Add together -8073634080 and -0.1. -8073634080.1 What is the distance between 4814 and -0.23828192? 4814.23828192 Add together -18 and 1970377. 1970359 What is 0.122584 less than 2384? 2383.877416 What is the difference between 23804917 and 0.5? 23804916.5 What is 2238.07 - 0.21? 2237.86 What is 23 take away 2.51514485? 20.48485515 What is 1028 - -221.06? 1249.06 Calculate 860937.31 - -0.18. 860937.49 Add -0.953 and -0.17779625. -1.13079625 What is -7011 minus 3207365? -3214376 Add 150885490 and 2. 150885492 What is 217.59 minus -129067? 129284.59 26.2737 - 8170 -8143.7263 Put together 182373716633 and -0.5. 182373716632.5 Calculate -1033322692 - -1. -1033322691 Total of 2652.2 and 297633. 300285.2 5444.976 - -2 5446.976 0.02 + 323409.25 323409.27 What is 69 - 22192145? -22192076 -946747 - 0.0639 -946747.0639 Work out -4.0538 + 0.394. -3.6598 29779.99 - -0.9 29780.89 Add together -7372916 and 95. -7372821 12.1102+-0.004 12.1062 Calculate -0.02 + -2587403. -2587403.02 Sum 1770.44 and -20.627. 1749.813 Subtract 575020 from -53306. -628326 Sum 664 and 504.94. 1168.94 Add together -10777 and -137405. -148182 Total of 19809823 and -5. 19809818 Calculate -35 - -0.010628452. -34.989371548 Sum 525 and 73222. 73747 What is -421.566 less than -7619? -7197.434 Calculate -0.0877512 - -0.5. 0.4122488 Subtract -0.3 from -269432855. -269432854.7 What is -61.119 - 28532? -28593.119 Sum -2633878835 and -0.4. -2633878835.4 What is -0.1 minus -407.386282? 407.286282 What is the difference between -51 and 53273483? 53273534 Total of -9163.851 and -1253.9. -10417.751 828.2 + -1887943 -1887114.8 What is -8155 - 7690991? -7699146 What is -3 plus -9056784624? -9056784627 Calculate 90.55 + -0.397. 90.153 0.0823 + -166.81 -166.7277 Subtract 0.3 from 11617699. 11617698.7 What is -0.000245 take away -1520.8? 1520.799755 What is -16245 minus -85678? 69433 Calculate 336891 - -0.0077. 336891.0077 Add together 4 and 6136487. 6136491 What is -18006.1521 - -0.2? -18005.9521 Sum -6.8071112 and -0.3. -7.1071112 What is -10811210 minus -0.12? -10811209.88 Subtract 50.02 from 37.23. -12.79 Add together 16 and 296710615. 296710631 What is the distance between 3.3 and 6508.3342? 6505.0342 Calculate -0.6 + 180814. 180813.4 Add together -62.797753 and 5. -57.797753 What is -6022 less than 2.13698? 6024.13698 What is -1852923617 - 0.14? -1852923617.14 Add together 0.10829780717 and -0.06. 0.04829780717 Add 0.7 and 0.1899837567. 0.8899837567 What is the distance between 0.049 and -10480205? 10480205.049 Add together -10183650.6 and 0.2. -10183650.4 Add together -2720 and -397. -3117 What is the difference between 0.49 and -0.14147373? 0.63147373 8667475+-77 8667398 Sum 71.1025 and -41. 30.1025 What is 0.2668948 less than 0.13? -0.1368948 What is -77286074 take away -0.12? -77286073.88 -0.5 - -0.1462603312 -0.3537396688 2.1+3334065 3334067.1 What is -1919.31171 plus 3? -1916.31171 What is 4 plus 1.4245145? 5.4245145 Total of 20 and 188.58728. 208.58728 Sum -10 and 15154286. 15154276 What is the distance between -0.01 and -20124145? 20124144.99 What is 9572.0868 less than -0.002? -9572.0888 -181708454 - -3 -181708451 Total of -410617642 and 8. -410617634 Put together 381712160 and -0.9. 381712159.1 What is -0.4 + 3729302? 3729301.6 What is 5.7 - -0.2848455? 5.9848455 What is the distance between 219752.8 and 0.08? 219752.72 What is -0.13561 - -0.4913? 0.35569 What is -487.353094 take away -2? -485.353094 Work out 8 - 221.412489. -213.412489 Work out -34346469 - 219. -34346688 Total of 6.22983614 and 0.2. 6.42983614 What is -0.5 less than 9926.57273? 9927.07273 What is the distance between 154387103 and 110? 154386993 Total of 2357907 and 6750. 2364657 What is the distance between 1370.127 and -0.04348? 1370.17048 Add -741784561 and -0.09. -741784561.09 What is the difference between 264.43089 and -0.2? 264.63089 Total of 0.16 and 2371217826. 2371217826.16 What is 54 minus 724693628? -724693574 What is 11331.5 - -35? 11366.5 What is -84901269 - -0.08? -84901268.92 0.05+13115.2777 13115.3277 Put together -31544798 and 17. -31544781 What is the distance between -654658 and 36055? 690713 What is 0.0274224 - 25? -24.9725776 Calculate -4217.6021 + 0.7. -4216.9021 Subtract -34122622 from 0.2. 34122622.2 -0.016146859+-4 -4.016146859 What is -2360 take away -27681? 25321 Work out 80062.7 - 0.31. 80062.39 What is 1043 + 287748.88? 288791.88 Calculate -6129 - -0.04477838. -6128.95522162 What is 86694.03 - -51? 86745.03 What is 396 + 190.37912? 586.37912 Sum -1 and -4310.093. -4311.093 Add together -9031727839 and -4. -9031727843 Total of -3 and -185462. -185465 What is 26 plus 0.1409? 26.1409 What is -204.553 take away 1.39? -205.943 Sum 1235639 and 0.231. 1235639.231 What is -31639944.1 minus 0.3? -31639944.4 Add -0.5 and -1289.8106. -1290.3106 Put together 0.3 and 59358496. 59358496.3 Total of 0.14 and -5636450. -5636449.86 What is 0.3 minus -116341070? 116341070.3 Add together 936 and -6524.092. -5588.092 Put together -0.4 and 5247955. 5247954.6 77513.9 - 18240 59273.9 Work out -656.788 - 35. -691.788 What is the difference between 548229 and -48? 548277 What is -132621 less than 27929? 160550 What is 284.0747325 minus -6? 290.0747325 0.1 + 0.7043035847 0.8043035847 What is 0.72 less than -7.3989? -8.1189 Add together 3.477 and 0.6345. 4.1115 What is -103546376 plus -3? -103546379 Calculate -304961171 - -1.7. -304961169.3 -901255+-12 -901267 10176008 - -145 10176153 Subtract 5 from -3973621431. -3973621436 Sum -4.7 and 0.04623506. -4.65376494 -0.02 - 183270229 -183270229.02 Total of -108287120 and 4.12. -108287115.88 What is -0.3 less than 16639381665? 16639381665.3 Calculate -140.311558 - 243. -383.311558 What is -5.97 + -20831? -20836.97 What is the distance between -496140 and -0.1736? 496139.8264 What is -48526622840 - 3? -48526622843 Sum -177 and 186663. 186486 Calculate 1.548 + 51302. 51303.548 What is -1303.0272 minus 3.21? -1306.2372 What is -7.0875 minus 176? -183.0875 Calculate -41283 + 15347.09. -25935.91 Work out -0.3 + -0.08298076483. -0.38298076483 Calculate 3309 + -1.59027. 3307.40973 What is 232 - 46565497? -46565265 Subtract -22926.5489 from 0.35. 22926.8989 What is -0.2 less than 1828951.761? 1828951.961 Work out -276266 - 68. -276334 Sum -1130.5 and -842. -1972.5 What is 102 less than -0.0655849? -102.0655849 -377 - 3.75016 -380.75016 What is -126344 - 6.6? -126350.6 What is 0.3 plus 2512132057? 2512132057.3 Total of -1.3 and 887668.965. 887667.665 Work out 12701278 - -49. 12701327 Calculate -39 - 3249508. -3249547 What is -0.237578 take away -680? 679.762422 Subtract -183 from 0.625957. 183.625957 What is -0.4838 minus 1847? -1847.4838 What is 1233.41379 minus 0.2? 1233.21379 Sum -2813553971.4 and 0.4. -2813553971 Calculate -0.007 + 55490036. 55490035.993 -3142 - 108458 -111600 Add -858166 and 384. -857782 What is the distance between 0.09 and -0.6076469? 0
{ "pile_set_name": "DM Mathematics" }
Which is the nearest to 0.07? (a) 3/7 (b) -2/11 (c) 7 b Which is the closest to -2? (a) -3 (b) -0.1 (c) 0.039 (d) -2/9 a What is the closest to 0.04 in 4, -3, 5? -3 What is the nearest to 0.053 in 1/4, -5, 3, -1? 1/4 What is the nearest to -1 in 1/3, -0.068, -0.4, 2/7? -0.4 Which is the nearest to -2/5? (a) 14 (b) -5 (c) 2/15 c Which is the nearest to 1? (a) -7.4 (b) -0.5 (c) -0.3 (d) -1 c Which is the nearest to 0.3? (a) -1.1 (b) 5 (c) 0.04 c What is the nearest to 3 in 0.8, 0.5, -0.4, -0.2? 0.8 What is the closest to 5 in 2, 0.3, -6, 0.5? 2 What is the closest to -0.1 in -1, 0, -11, -2? 0 What is the nearest to 1 in -4, 1/4, -3/4, 0.2? 1/4 Which is the nearest to 2/33? (a) -0.5 (b) -3 (c) 0 c Which is the closest to 0? (a) -2/7 (b) -203 (c) -1/3 (d) -0.5 a Which is the nearest to -3? (a) -1/14 (b) 9 (c) -0.4 c Which is the closest to 3? (a) 5 (b) 2/7 (c) 1/6 a Which is the closest to 0? (a) -1/3 (b) 2/607 (c) -7/4 b What is the nearest to 10 in 2, 80, 0, -0.5? 2 Which is the closest to -1? (a) -1/4 (b) -0.5 (c) -3/7 (d) 9 b What is the closest to 793 in -0.2, -0.1, 2? 2 What is the closest to 0.006 in -0.1, -1/2, 0.3? -0.1 Which is the nearest to 0? (a) -2/9 (b) -3.6 (c) 0.3 (d) 1/3 a What is the closest to 1 in -5, 5, 1/3, 1/6? 1/3 Which is the closest to 0.2? (a) 2 (b) -5 (c) -3 (d) 23/6 a What is the nearest to -0.4 in 9, -1/2, -0.2? -1/2 Which is the nearest to 0.16? (a) -3 (b) -3/2 (c) 2 (d) 5 b What is the closest to 2/3 in -562, -2/5, 0.02? 0.02 Which is the nearest to 19? (a) -1/6 (b) 6/11 (c) -11 b Which is the closest to -0.1? (a) -1/3 (b) 3 (c) -12 (d) -1/6 d Which is the nearest to -1/4? (a) -13 (b) -2.3 (c) 0.4 c What is the nearest to -0.1 in 0.5, -15, -0.4, -5? -0.4 What is the closest to 0.1 in -5, 0.04, -1/4? 0.04 Which is the nearest to 0.1? (a) 0.6 (b) -1 (c) 2/5 (d) -2/19 d Which is the nearest to 1/2? (a) -0.2 (b) -2/7 (c) 2 (d) -0.4 a What is the closest to -1/40 in 2, -0.3, -47, -0.2? -0.2 What is the nearest to 1/6 in -1, -0.05, 3, -0.2? -0.05 Which is the closest to -2/7? (a) 0.4 (b) -1 (c) -7/4 (d) -32 a Which is the closest to -0.1? (a) 1 (b) 3 (c) 4 (d) 102 a Which is the closest to 5? (a) -2 (b) -5 (c) 0.3 c Which is the closest to 1/3? (a) 0.2 (b) 76/11 (c) 0.3 (d) 4/5 c What is the closest to 1 in -3, 2/11, -4/7? 2/11 Which is the closest to 3? (a) -5 (b) 0.08 (c) 0.2 c Which is the closest to -0.01? (a) -17 (b) 2 (c) -1/2 c Which is the nearest to -0.12? (a) 6 (b) -4 (c) -1/9 (d) 12 c Which is the closest to -2? (a) -0.2 (b) -14 (c) 20/9 a What is the nearest to -1 in -0.3, 3, -0.2, 5? -0.3 What is the closest to -0.2 in 1, 4, 3.8? 1 Which is the closest to -13? (a) 1 (b) 3 (c) -1 (d) -0.1 c Which is the closest to 0? (a) -0.1 (b) 159 (c) -7 a What is the nearest to -3/13 in 0.11, -2, 4, -12? 0.11 What is the nearest to 32 in 4/3, 0, 3, 0.1? 3 What is the nearest to -1 in -110, -4/9, -2/23, 4? -4/9 What is the nearest to -3 in -2/7, -30, 0.5? -2/7 Which is the closest to -0.2? (a) -1/14 (b) -0.3 (c) -1/2 (d) 2/7 b Which is the nearest to -2? (a) 4 (b) 1/2 (c) -2 (d) -3 c Which is the nearest to 1? (a) 3/4 (b) 4 (c) 1 (d) 1/7 c What is the closest to 1/3 in -0.52, 0, 9? 0 What is the nearest to 2/9 in 3/11, -4/7, 5? 3/11 Which is the closest to 45/7? (a) 2/3 (b) 45 (c) -0.3 (d) 1/3 a Which is the nearest to 0.1? (a) 1/7 (b) -0.2 (c) 415 a What is the closest to -0.33 in 3, 0, -1/2? -1/2 What is the nearest to -1 in 0.3, 3/2, -0.02172? -0.02172 What is the closest to 1/15 in 3/5, -1/6, -4/9, 0.2? 0.2 What is the closest to 2/11 in -0.01, -4, -1, 2? -0.01 Which is the closest to -1? (a) -1.2 (b) -0.2 (c) 0.4 a What is the closest to 2/7 in 3/2, -146, 3? 3/2 Which is the nearest to -7? (a) -2 (b) -1/4 (c) 0.4 (d) -1 a Which is the nearest to -4/3? (a) 3 (b) 2 (c) -4 (d) 4 c Which is the nearest to 4/5? (a) -2/5 (b) -3 (c) 4 a Which is the nearest to 0? (a) 128 (b) -5 (c) 0.2 (d) -2/3 c What is the nearest to -3 in -1/8, -1, 2/3? -1 Which is the closest to 1/2? (a) -2 (b) 2 (c) 5/4 (d) -18 c What is the closest to 1/3 in -2/9, 4/79, 1, 3? 4/79 Which is the closest to 0.56? (a) 0.3 (b) 2/3 (c) 3 b What is the closest to -2/15 in -1/2, 18/7, 1? -1/2 What is the closest to -1 in 2/7, 5/296, -3? 5/296 Which is the nearest to -1? (a) -0.4 (b) -1 (c) -3/5 (d) 0.05 b What is the closest to 0.19 in 1, -9, 0.2? 0.2 Which is the nearest to 0? (a) 0.46 (b) -3/2 (c) 71 a What is the nearest to 0.1 in -0.5, 250, -0.4? -0.4 What is the closest to 2/3 in -46, -3/2, 2? 2 What is the nearest to 1/2 in 0.5, -0.3, 0.028, -1/3? 0.5 Which is the nearest to -0.1? (a) -2/7 (b) -0.78 (c) 1 a What is the nearest to 1 in -5/3, -2, -3? -5/3 What is the nearest to -0.8 in 0, 1/3, 4, -2/11? -2/11 What is the closest to 0.4 in -0.5, -2/9, 0.1, 1? 0.1 What is the closest to 1 in -4, -18, 2/3, 4? 2/3 Which is the closest to -9? (a) -298 (b) -4 (c) -0.3 b What is the closest to -1 in -2, 8, -0.1, 0.5? -0.1 Which is the closest to 17? (a) 11/3 (b) -3 (c) -0.3 a What is the closest to -5 in 2/9, 3, -1, -0.3? -1 Which is the closest to 2? (a) 7 (b) -2/5 (c) -20/3 b What is the nearest to 0.2 in 0.012, 5, -4? 0.012 What is the closest to 0.2 in 0, 173, 4/7? 0 Which is the nearest to -0.06? (a) -1 (b) -0.1 (c) -0.2 b What is the closest to -0.1 in -1, 1, 5, 468? -1 What is the closest to 2 in -2/7, 3, 0.2, -2/9? 3 Which is the nearest to -2/3? (a) -3 (b) -0.2 (c) 2 b What is the nearest to -1 in -0.15, -2/9, 1/8? -2/9 What is the closest to -35 in -3/8, -0.3, -8, 3? -8 What is the closest to 3 in -0.07, -6/5, -1, -2/7? -0.07 Which is the closest to 0.2? (a) 24 (b) -1 (c) -3 b Which is the closest to -1? (a) 9 (b) -2/7 (c) -0.2 b What is the nearest to 2/3 in -1/2, 0, -5? 0 What is the nearest to 2 in -0.1, 0.19, -1/3? 0.19 What is the nearest to -1 in -1/97, -0.1, 19? -0.1 What is the nearest to -22 in -1, 0.4, -0.4, -0.2? -1 What is the closest to 811 in -3, 2/5, 1? 1 What is the closest to 0.2 in 0.4, -1/5, -2/7, -35? 0.4 What is the nearest to 1.5 in 2/5, 0.03, -3, 5? 2/5 Which is the closest to -1? (a) 3 (b) -0.12 (c) -15/7 b What is the nearest to -0.1 in -2/9, 4, -0.5, -6? -2/9 What is the closest to 0.1 in -2, -1/2, -7? -1/2 What is the closest to -6/5 in 1, 7, 5, 0.2? 0.2 Which is the closest to -1? (a) -0.1 (b) -12 (c) 5 (d) 3 a Which is the closest to 1? (a) 0.5 (b) -8 (c) -0.8 (d) 0 a Which is the closest to -2? (a) -0.55 (b) -2/17 (c) 0.1 (d) -5 a Which is the nearest to -2/3? (a) -2/11 (b) -2/3 (c) 0.2 (d) 5/7 b Which is the closest to 19? (a) 3 (b) 0 (c) 13 (d) 1/4 c What is the closest to 1 in -1/6, 367, 1/4, -1/2? 1/4 Which is the closest to -0.4? (a) -0.3 (b) 94 (c) 2/5 a What is the nearest to 3 in 1/3, 26, -1/4? 1/3 Which is the closest to 0.1? (a) 2/17 (b) -2 (c) 52/5 a What is the nearest to -2/5 in 8, -2, 0, -0.1? -0.1 Which is the closest to 1? (a) 2/159 (b) -0.1 (c) 3/8 c Which is the closest to 0.1? (a) 6 (b) -2 (c) 4 (d) -0.1 d What is the closest to -3.9 in 0.2, -2/17, 0.5? -2/17 What is the nearest to 2/3 in -1/11, 2, -5, 0.5? 0.5 Which is the closest to 0.1? (a) -7 (b) -2/11 (c) -4 (d) 3/5 b What is the nearest to 2/9 in 0.5, -0.2, -5, 0? 0 What is the nearest to -0.2 in 1/4, -1/2, 2/7? -1/2 What is the nearest to -1 in 3, 0.5, -0.16? -0.16 What is the nearest to -1/3 in 2/13, -11, -1/2? -1/2 Which is the closest to -0.3? (a) 115 (b) -1 (c) 4 b What is the closest to -0.1 in -1/29, 4, 5/4? -1/29 Which is the nearest to -0.2? (a) -0.2 (b) -1/4 (c) -1.15 a What is the nearest to 2 in -33, -5, -2, 0.5? 0.5 What is the nearest to -0.0617 in 1, -0.2, -5/2? -0.2 Which is the closest to 28? (a) -8 (b) -0.2 (c) -4/7 b What is the closest to -13 in -0.017, 3, -3/8? -3/8 Which is the nearest to -8? (a) 1 (b) 0 (c) -4 (d) -2 c Which is the closest to -28? (a) -3 (b) 5 (c) 0.8 (d) 4 a Which is the closest to -4? (a) 0.5 (b) -1/9 (c) 1 (d) 0.008 b What is the nearest to -0.04 in -4, -3, 3, -5? -3 What is the nearest to -0.23 in -0.42, 2, 1, 5? -0.42 Which is the closest to -0.2? (a) -7 (b) 246 (
{ "pile_set_name": "DM Mathematics" }
- 4. Let r be h(4). Suppose -203 + 59 = -r*t. What is the tens digit of t? 3 Let g(z) = -z**2. Let q be g(2). Let w = 14 + q. What is the units digit of w? 0 Let r be 1/(23/(-11) + 2). Let p = -3 - r. What is the units digit of (-2)/p - (-154)/8? 9 Let v(d) be the second derivative of d**3/6 + d**2 - 2*d. Let r be v(-2). Suppose -14 = -2*a - r. What is the units digit of a? 7 Suppose -2*v + 90 = v. What is the tens digit of v? 3 Let c be (-403)/(-9) - (-8)/36. Let t = 68 - c. What is the units digit of t? 3 What is the tens digit of 2943/36 + 9/(-12) + 1? 8 Suppose -y + 19 = -3*y + 3*u, 5*u = -3*y + 19. Let j be (6/8)/(y/(-8)). Suppose 2*s + 2*c = s - j, -s - 3*c - 6 = 0. What is the units digit of s? 3 Suppose -r + 4*v + 0*v - 3 = 0, -2*r + 3*v = -4. Let o(h) = -h**3 + r*h + 3 + 4*h**2 + 0 - 6*h. What is the units digit of o(3)? 9 Suppose -2*v - r = -51, -2*v + 56 = -3*r + 5*r. Suppose 26 = 4*b - 6*b. Let p = b + v. What is the units digit of p? 0 Let d = -2 + 4. What is the units digit of 18/21*14/d? 6 Let p(n) = -3*n**3 + n**2 + n. Let g(b) = -b**3 + 3*b**2 - 3*b + 1. Let w be g(2). Let h be p(w). What is the units digit of (-1)/h*(-30 + -3)? 1 Suppose -3*s + 6*s = 3*w - 21, -5*s - 10 = 0. Suppose w*u = -4*n + 88, -3*u = -n - 2*u + 31. What is the tens digit of n? 2 Let j = 2 - 0. What is the units digit of ((-1)/j)/(2/(-36))? 9 Let j(x) = -x + 10. Let a be j(10). Suppose a = -h - 1 + 2. Suppose 0 = -v + 2*v - h. What is the units digit of v? 1 Let c(b) = b**3 - b**2 - b - 1. Let o be (-5)/(-2)*2/1. Let z = o + -3. What is the units digit of c(z)? 1 What is the tens digit of (38/(-2))/(-6 + (-82)/(-14))? 3 Suppose 0 = -5*q - 0*q - 4*w - 4, 0 = -5*q + w - 24. Let h be 14/4 - (-2)/q. Suppose h*l - 9 = 6. What is the units digit of l? 5 What is the tens digit of (-32)/(-5)*(-5)/(-1)? 3 What is the tens digit of ((-16)/(-3))/(1/72) - -1? 8 Let l(y) = y**2 - 12*y + 9. What is the units digit of l(12)? 9 Suppose -5*q + 4*p = -38, 0 = 5*q - p + 5*p - 62. Let w = -7 + q. Suppose -w = 2*t - 3*t. What is the units digit of t? 3 Suppose 4*t + 5*m = 309, 0*t - 3*m = 5*t - 370. What is the tens digit of t? 7 Let y(n) = 4 - 3 + 0*n - n. What is the units digit of y(0)? 1 Let t(m) be the third derivative of -m**6/120 + m**5/10 - 5*m**4/24 + 7*m**3/6 + 3*m**2. What is the units digit of t(5)? 7 What is the units digit of (-99)/3*(-4)/12? 1 Let o(i) = 6*i + 60. Let m(q) = q + 12. Let b(g) = 11*m(g) - 2*o(g). What is the units digit of b(-9)? 1 Let m = 37 - 18. What is the tens digit of m? 1 Let j(s) = 88*s**2 - 9*s + 2. What is the units digit of j(2)? 6 Let b(x) = -4*x + 1. What is the units digit of b(-2)? 9 Let h(m) = -8*m + 1. Let p(y) = y**2 - 4*y. Let b be p(4). Let n(w) = w**2 - w - 1. Let a be n(b). What is the units digit of h(a)? 9 Let o = -1 + 5. Suppose -5*f - 48 - 34 = -o*g, 4*g + 5*f = 62. Suppose -2*s + 52 = 2*s + 4*h, s - g = -2*h. What is the units digit of s? 8 Suppose 5*r = -0*r + 20. Let v(k) = -k - 1. Let y(d) = -1. Let a(g) = v(g) - 6*y(g). What is the units digit of a(r)? 1 Let u(x) = x**3 + 8*x**2 - x - 7. Let s be u(-8). Let k = 12 - s. What is the tens digit of k? 1 Let g(r) = r**2 - 9*r + 4. Let h be g(8). What is the units digit of 57/6 - (-2)/h? 9 Suppose -150 = -0*o - 5*o. What is the tens digit of o? 3 Suppose -u + 39 = d - 63, d - 3*u = 90. What is the units digit of d? 9 Let v(n) = 78*n**2 - n + 6. What is the units digit of v(2)? 6 What is the tens digit of 25 + -15 + (1 - -2)? 1 Let s(v) = 9*v**2 + 7*v. Let r(y) = 5*y**2 + 3*y. Let x(j) = -5*r(j) + 3*s(j). What is the units digit of x(-6)? 6 Suppose 3*y - 8 - 9 = 4*f, 3*y - 5 = -2*f. Suppose y*k + 5*l = 46, k - 2*l = -3*l + 12. Let o = 11 - k. What is the units digit of o? 4 Let g(l) = -l**3 + 7*l**2 - 4*l - 4. What is the tens digit of g(5)? 2 Let d(n) be the first derivative of -n**4/4 - 4*n**3/3 + 3*n + 2. Let p be d(-4). What is the units digit of ((-4)/(-6))/(1/p)? 2 Suppose -j = -3*r - 3, -4*j + 4*r - r = -48. Suppose 2*y - h = 33, 2*h = 5*h + j. Suppose -3*c + u = -37 - 13, -3*u = -c + y. What is the tens digit of c? 1 Suppose -15 = 3*x + 2*s + 4, -5*s - 25 = 0. Let f be -3 - (-3 + x + 3). Let m(b) = b**2 - b + 4. What is the units digit of m(f)? 4 Suppose -a = -0*a. Suppose 3*s - 14 = -p - 5, a = -p - 3. What is the units digit of s? 4 Let x(n) = 4*n + 9. What is the tens digit of x(8)? 4 Let d be 7 + -6 + (1 - -20). Let u = 31 - d. What is the units digit of u? 9 Let x(i) = 6*i**2 + 13*i - 29. What is the tens digit of x(6)? 6 Let b be -1 + (-1)/((-3)/21). Suppose b = 4*x + 2. Let o = 10 - x. What is the units digit of o? 9 Let f = 9 - 5. Let d = f + -8. Let y = d + 6. What is the units digit of y? 2 Suppose 3*k = 85 + 50. Suppose -2*i - k = -3*y, -2*i + 4 + 41 = 3*y. What is the units digit of y? 5 Suppose 107 = 3*g + 5*q, -2*g - 3*q = 2*q - 63. What is the tens digit of g? 4 Let p(g) = g**2 + g - 1. Let a(m) = -m**3 - 7*m**2 + 3*m + 9. Let n(z) = a(z) + p(z). What is the tens digit of n(-7)? 2 Let p(q) = q**3 - 1. Let u(o) = -2*o**3 - 3*o + 4. Let a(x) = 3*p(x) + u(x). What is the units digit of a(2)? 3 Let d(r) = 41*r**3 + 2*r**2 - 4*r - 4. What is the hundreds digit of d(2)? 3 Let s(v) be the second derivative of v + 1/6*v**4 + 0 - 1/2*v**2 + 0*v**3. What is the tens digit of s(3)? 1 Let a(j) = -j**3 + 10*j**2 - 12*j. Let x be a(8). Suppose -3*n = 4*q - 41, 3*q + n + n = x. What is the units digit of q? 4 Suppose -3 = -3*o + 12. What is the tens digit of (6 + o)/(-1 - -2)? 1 Let a(w) = 4*w**2 - 4*w + 8. What is the units digit of a(6)? 8 Let d(y) = y**2 + 3. Let p be d(0). Suppose 135 = -5*t + 5*v, p*v + 0 - 6 = 0. Let u = t + 37. What is the units digit of u? 2 What is the tens digit of 59 - (1/(-2) - 9/(-6))? 5 Suppose 2*s - 2*d - 12 = 0, s + 2*s - 23 = -2*d. Let i(u) = -1 + 2*u - 1 - u. What is the units digit of i(s)? 5 Let b = 313 - 94. What is the hundreds digit of b? 2 Suppose 3 = x, -2*r + r = -5*x + 10. Let n(y) = y + 2*y + 43*y**3 + 1 - 4*y**2 - y**2 - 42*y**3. What is the tens digit of n(r)? 1 Let r = -8 - -13. Suppose -10 - 10 = r*v, 3*f - 80 = 5*v. What is the units digit of f? 0 Let p = -247 - -454. What is the units digit of p? 7 Let g(b) = -2*b**2 - b - 2. Let n(a) = -a**3 + 2*a**2 + 2*a + 3. Let u(o) = 4*g(o) + 3*n(o). What is the tens digit of u(-2)? 1 Let k(y) = y**3 + 17*y**2 + y + 17. Let r be k(-17). What is the units digit of (r - -2)/(0 + 2)? 1 Suppose -36 = -2*o - 3*v, -5 + 17 = 3*v. What is the units digit of o? 2 Let t(y) = -y**2 - 20*y + 25. What is the tens digit of t(-17)? 7 Let y be (-5 - -7) + 1 + -1. Suppose -y*m - 3*m = -50. What is the tens digit of m? 1 Let u = 52 - 15. What is the units digit of u? 7 Suppose c + w = 6, 5*c + 5*w - w - 25 = 0. Suppose -3*v + 0*t = -t + 38, 0 = 5*v - 3*t + 66. What is the tens digit of (v/c)/(-1 - 0)? 1 Suppose 3*u + 3 = 12, 5*q + u - 18 = 0. Suppose -q*m + 5*m - 26 = 0. What is the units digit of m? 3 Let m be (5/3)/(2/6). Let z = -26 + 57. Suppose 9 = m*v - z. What is the units digit of v? 8 Suppose 2*m + 5*v = -2*m + 610, -5*m + 3*v + 781 = 0. What is the units digit of m? 5 Suppose -4*s - 1 = 5*n, -s = 3*n - 0*n + 9. Suppose -j + s = -3. What is the units digit of j? 9 Let g = 10 + 4. What is the tens digit of g? 1 Let w = 1 - -1. Suppose 2*y = 5*r - 10*r + 27, r - 6 = -y. What is the units digit of y*((-48)/w)/(-3)? 8 Suppose 5*d - 486 - 304 = 0. Suppose 2*i - 5 = i, 2*i + d = 4*g. Suppose 0 = -r - 2*o + 6, -g = -2*r - 2*r - 2*o. What is the tens digit of r? 1 Let i(x) = 5*x + 1. Let s(v) = -5 + 3 + 4 + 6*v. Let g(f) = 5*i(f) - 4*s(f). What is the units digit of g(6)? 3 Let l be 2 - 2 - 4/(-2). Suppose -l*f = -3*f + 6. Suppose 0 = -2*m + f*x - 2*x + 10, -4*x + 25 = 3*m. What is the units digit of m? 7 Suppose -2*r - 4 = -4*r. Suppose -3*h - 125 = -3*b - r*b, 0 = -4*b + 3*h + 100. What is the units digit of b? 5 Let a = 8 - -35. What is the tens digit of a? 4 Let v(y) = -29*y - 66. What is the tens digit of v(-17)? 2 Let f be 51/12 + (-2)/8. What is the units digit of (666/24)/(3/f)? 7 Suppose -2*z + 0 = 10. Let o = -11 - z. What is the units digit of 0 - -1 - 1*o? 7 Let y(o) = -2*o + 3*o + 0*o + 2. What is the units digit of y(7)? 9 Let v(b) = -b**2 - b + 20. Let c(w) = w - 3. Let
{ "pile_set_name": "DM Mathematics" }
**2. Determine l(u(d)). -3936818*d**4 Let o(s) = -6*s**2. Let w(m) be the third derivative of m**5/15 + 18*m**2. Calculate w(o(i)). 144*i**4 Let h(l) = 10*l. Let b(x) = -2*x**2 + x**2 + 17*x - 17*x. Give b(h(k)). -100*k**2 Let a(v) = -44*v**2. Let z(b) = 17*b. What is a(z(h))? -12716*h**2 Let a(u) = 2*u**2. Let g be (0 + -1)/((-5)/10). Let l(z) be the second derivative of g*z + 0*z**2 + 0 - 1/6*z**3. What is l(a(q))? -2*q**2 Let q(k) = 3*k. Let b(v) = -190*v**2. Give b(q(o)). -1710*o**2 Let r(w) = -w**2. Let x(i) be the second derivative of -i**7/840 - i**4/12 - i. Let n(k) be the third derivative of x(k). What is r(n(s))? -9*s**4 Let n(w) be the second derivative of w**3/6 + 11*w. Let r(o) = -3 + 3 + o. Give r(n(k)). k Let n(q) = 287*q**2 + q. Let b(a) = -a. Give n(b(t)). 287*t**2 - t Let u(r) = -3*r**2. Let c(i) = -i**3 + 10*i**2 - i + 10. Let y be c(10). Let v(a) = -11*a**2 + 0 + 9*a**2 + y. Give v(u(w)). -18*w**4 Suppose -6*u + 16 = -4*u. Let a(k) = 0 + k**2 + 8 - u. Let p(c) = -c. What is p(a(l))? -l**2 Let y(h) = -6*h**2. Let d(v) be the first derivative of -v**3/3 + 4*v - 6. Let f(u) be the first derivative of d(u). Give f(y(w)). 12*w**2 Let p(r) = -3*r**2. Let i(x) = 2221*x. What is p(i(g))? -14798523*g**2 Let y be 2/(-6)*(-5 + -1). Let u(s) = -y + 2 - 7*s + 4*s. Let a(r) = 6*r. What is u(a(o))? -18*o Let f(y) = -2*y**2. Let r = -5 - -10. Let n(c) = 2*c + 3*c - r*c + c. Determine n(f(g)). -2*g**2 Let b(j) = j. Let v(t) = 60*t. What is b(v(s))? 60*s Let p(a) = 7*a**2. Let h = -1 + 4. Let l(d) = h*d + d - d - d. Calculate l(p(u)). 14*u**2 Let w(y) = 2*y**2. Let j(l) = -8*l - 4*l + 11*l. Determine j(w(z)). -2*z**2 Let g(y) = 8*y - 7. Let j(l) = -42*l. Calculate g(j(z)). -336*z - 7 Let x = 5 + -3. Let a(k) = k + x*k - k. Let l(v) = v - 3*v + 3*v. Determine a(l(f)). 2*f Let g(t) be the second derivative of -t**6/360 + t**3/3 - 5*t. Let h(f) be the second derivative of g(f). Let x(z) = 10*z**2. Calculate h(x(s)). -100*s**4 Let s(o) = 2*o. Let f(q) = 15*q - 3431 + 3431. Give s(f(v)). 30*v Let f(y) = 3*y**2 + 5*y - 5. Let u(g) = 6*g**2 + 9*g - 9. Suppose 0*l + 3*l = -27. Let x(j) = l*f(j) + 5*u(j). Let p(i) = -6*i**2. Calculate p(x(n)). -54*n**4 Let n(v) = -17*v**2. Let x(c) = -8*c + 10. Let t(p) = p - 1. Let l(z) = -10*t(z) - x(z). Give n(l(r)). -68*r**2 Let c(j) = -2*j**2. Let q(l) = -5741*l**2. Determine q(c(x)). -22964*x**4 Let k(o) = -5*o**2 + 114. Let l(m) = -2*m**2. Give k(l(r)). -20*r**4 + 114 Suppose -4*n + 22 = h, -20 = -8*h + 3*h - 2*n. Let b(y) = -5*y**2 + 4*y**h + 4*y**2 - 2*y**2. Let g(c) = -c. Calculate b(g(p)). p**2 Let s(w) = 1606*w**2. Let f(b) = 2*b**2. Give s(f(v)). 6424*v**4 Let a(i) = 5*i - 9. Let n(b) be the first derivative of -b**2/2 + 2*b - 2. Let j(c) = 2*a(c) + 9*n(c). Let d(k) = 2*k**2. Calculate j(d(o)). 2*o**2 Let j be 2/7 - (-24)/14. Let m(c) = j - c - 2. Let k(y) = -36*y - 44*y + 83*y. Give m(k(u)). -3*u Let j(u) = 11*u - 6. Let g(n) = 143*n - 77. Let v(o) = -6*g(o) + 77*j(o). Let t(a) = -a**2. Determine v(t(q)). 11*q**2 Let h(w) = 2*w**2. Let a(j) = -1746*j**2. Give h(a(v)). 6097032*v**4 Let d(f) = -6*f**2. Let j(u) = -24 - 2*u**2 + 16 + 8. Calculate d(j(x)). -24*x**4 Let k(m) = -36*m. Let b(w) = -35*w. Give b(k(r)). 1260*r Let l(n) = -2*n. Let b(k) = 2*k - k**2 - 2*k**2 - 2*k + 2*k. Let s(t) = 13*t**2 - 9*t. Let v(z) = 9*b(z) + 2*s(z). What is l(v(i))? 2*i**2 Let h be (-1 - (-2)/2)*1. Let o(y) be the first derivative of 1 + 1/2*y**2 + h*y. Let x(w) = w. Give o(x(q)). q Let c(f) = -38*f. Let n(x) be the third derivative of x**5/30 - 6*x**2. Determine n(c(t)). 2888*t**2 Let z(v) be the first derivative of 1/2*v**3 - 2 - 2*v + 0*v**2. Let d(r) be the first derivative of z(r). Let i(n) = -2*n. Determine d(i(b)). -6*b Let w(l) = 14*l**2. Let f(d) = -15*d**2. What is w(f(k))? 3150*k**4 Suppose -4*i - l + 16 = 0, 0 = -0*i + 2*i + 3*l - 18. Let g(n) = -3*n - 3 + i. Let z(w) = 25*w**2 + 23*w**2 + 27*w**2 - 76*w**2. What is z(g(j))? -9*j**2 Let a(z) be the first derivative of 1/2*z**2 - 2 + 0*z. Let b(g) be the third derivative of -g**4/12 - 2*g**2. What is a(b(f))? -2*f Let f(i) = -12*i. Let n(o) be the second derivative of o**3/3 - 5*o. Determine n(f(x)). -24*x Let n(t) = t + 1. Let z(f) = -3*f - 6. Let c(o) = -6*n(o) - z(o). Let y(v) = 6*v + 5. Let d(x) = -5*x - 4. Let u(w) = -5*d(w) - 4*y(w). Determine u(c(a)). -3*a Let x be 2/8 - (-415)/20. Let s(t) = -21 - 3*t + x. Let y(q) = -5*q + q + 2*q. Calculate y(s(l)). 6*l Let a(g) = -2*g - g - 3*g + 3*g. Let m(c) = c - 1. Let x(q) = 2*q**2 + 10*q - 10. Let l(t) = 20*m(t) - 2*x(t). What is a(l(v))? 12*v**2 Let r(x) = 3*x - 5*x**2 - 3*x. Let n(y) = -y**2 + 3*y - 3. Let u(q) = -2*q**2 + 7*q - 7. Let g(h) = -7*n(h) + 3*u(h). What is g(r(a))? 25*a**4 Let i(k) be the second derivative of 2*k + 0 + 0*k**2 - 1/3*k**3. Let p(v) = 2*v**2. Calculate p(i(n)). 8*n**2 Let n(m) = 1475*m**2. Let r(b) = -3*b. Calculate r(n(i)). -4425*i**2 Let n(y) = -2*y**2. Let z(i) = 49 + 1 - 2*i - 17. What is n(z(t))? -8*t**2 + 264*t - 2178 Let f(a) be the third derivative of -a**5/60 + a**2. Let c(u) be the second derivative of 1/6*u**3 + 0 + 3*u + 0*u**2. What is c(f(w))? -w**2 Let f(c) = c**3 - 8*c**2 + 8*c - 5. Let z be f(7). Let t = -1 - -1. Let l(d) = z*d + t*d - d. Let x(g) = -2*g. Give l(x(y)). -2*y Let s(u) = 3*u. Let v(w) = 6*w. Suppose 1 = -3*c + 28. Let t(g) = c*s(g) - 4*v(g). Let d(b) = 2*b. Give t(d(o)). 6*o Let l(b) = 2*b. Let v(w) = -225*w. Give v(l(q)). -450*q Let o(g) be the second derivative of g**3/2 - 5*g. Let a(r) = -2*r. Determine a(o(j)). -6*j Let y(j) = 4778*j - 3. Let n(b) = -3*b. What is n(y(k))? -14334*k + 9 Let g(u) = -18*u**2 + 9 + 12*u**2 - 9. Let k(x) be the second derivative of -x**3/6 - x. Calculate k(g(a)). 6*a**2 Let v(c) = 20*c**2. Let i(k) = -k + 1. Let n(w) = -5*w + 7. Let m(x) = -14*i(x) + 2*n(x). Calculate m(v(z)). 80*z**2 Let p(g) = -6*g + 5*g - g. Let l(s) = 5*s. Determine p(l(r)). -10*r Suppose q + 0 = 2. Let z(v) = 1 + 8*v - 8*v - v**q. Let j(h) = -10*h**2 + 4. Let w(f) = j(f) - 4*z(f). Let r(m) = -m. What is r(w(i))? 6*i**2 Let i(w) = 8*w**2 + 1. Let u(l) = -l. Give u(i(q)). -8*q**2 - 1 Let n(f) = 7*f - 3. Let g(y) = 1 + 1 - 2 - 2*y. Give n(g(z)). -14*z - 3 Let m(t) = -25*t. Let p(c) = 8*c + 13. Calculate m(p(x)). -200*x - 325 Let j be (-2)/(-6)*7*-3. Let y = 15 + j. Let o(a) = 8 - y + a + a. Let v(g) = -2*g. Determine o(v(z)). -4*z Let w(g) be the second derivative of -7*g**4/6 - 19*g. Let s(i) = -2*i**2. What is w(s(d))? -56*d**4 Let b(k) = -26*k**2 - 22. Let h(i) = i. Give h(b(m)). -26*m**2 - 22 Let z(x) = 421*x**2. Let h(c) = -2*c. Calculate h(z(j)). -842*j**2 Let z(m) = -10*m**2. Let w(q) = 13*q + 4. Calculate z(w(x)). -1690*x**2 - 1040*x - 160 Let j(t) = 96*t**2. Let n(z) = 7*z. Determine n(j(b)). 672*b**2 Let b(q) = -5*q**2 + 7. Let g(s) = -2*s**2 + 3. Let m(y) = 3*b(y) - 7*g(y). Let x(n) = 6*n. Give m(x(c)). -36*c**2 Let x(v) = -124*v. Let u(r) = 12*r**2. Calculate u(x(s)). 184512*s**2 Let o(z) = z**2 - 12*z + 8. Let j be o(11). Let w = j + 5. Let c(t) = 2*t - 2*t + t**2 - w*t**2. Let b(p) = 3*p. What is b(c(h))? -3*h**2 Let u(m) = -3*m + 6. Let j(f) = -1. Let s(a) = -6*j(a) - u(a). Let t(o) = -25*o**2 - 36*o**2 + 58*o**2. Determine t(s(i)). -27*i**2 Let s(g) = 3*g**2. Let k(c) be the third derivative of -c**5/12 + 14*c**2. Calculate s(k(v)). 75*v**4 Let p(f) = -912*f**2. Let z(w) = 3*w. Determine z(p(g)). -2736*g**2 Let q be 1/3 + 4/6. Suppose -3*i - q + 4 = 0. Let l(h) = -4*h**2 + 1 - i. Let x(d) = d. Determine l(x(z)). -4*z**2 Let d(i) be the third derivative of 0*i**4 + i**2 + 0*i + 0 + 1/60*i**5 + 0*i**3. Let r(f) = f**2 - 2*f**2 + 0*f**2. Give r(d(k)). -k**4 Let a(b) = 6*b. Let z(u) be the first derivative of 0*u + u**2 + 0*u + 2 - 2*u**2. Determine z(a(p)). -12*p Let p(l) = 3*l - 3*l + 2*l - l. Let h = -2 - -2. Let u(d) = h - d + 0. What is u(p(o))? -o Let y = -34 - -36. Let h(i) be the third derivative of 0 - 3*i**y + 0*i + 1/12*i**4 + 0*i**3. Let x(k) = -k. Determine x(h(g)). -2*g Let w(u) = -16*u**2 - 2*u. Let p(m) = 3*m. What is w(p(a))? -144*a**2 - 6*a Let p(f) = -3*f. Let y(n) = 29*n + 3. Determine y(p(r)). -87*r + 3 Let d(n) = 27*n. Let q(h) = -4*h**2. Calculate d(q(w)). -108*w**2 Let f(h) = -15*h - 12. Let a(x) = -x - 1. Let c(s
{ "pile_set_name": "DM Mathematics" }
ger? 534 What is 435136 to the power of 1/2, to the nearest integer? 660 What is the square root of 8693111 to the nearest integer? 2948 What is the square root of 6071628 to the nearest integer? 2464 What is 8536734 to the power of 1/5, to the nearest integer? 24 What is 16317436 to the power of 1/7, to the nearest integer? 11 What is the fourth root of 1953012 to the nearest integer? 37 What is 2722432 to the power of 1/5, to the nearest integer? 19 What is the square root of 7920 to the nearest integer? 89 What is the cube root of 805356 to the nearest integer? 93 What is 20238243 to the power of 1/2, to the nearest integer? 4499 What is the square root of 564495 to the nearest integer? 751 What is the third root of 1512864 to the nearest integer? 115 What is 261376 to the power of 1/4, to the nearest integer? 23 What is the eighth root of 2792708 to the nearest integer? 6 What is 17944579 to the power of 1/2, to the nearest integer? 4236 What is 449772 to the power of 1/2, to the nearest integer? 671 What is the tenth root of 158991 to the nearest integer? 3 What is 126697 to the power of 1/3, to the nearest integer? 50 What is the square root of 105463 to the nearest integer? 325 What is 2136657 to the power of 1/5, to the nearest integer? 18 What is 6717453 to the power of 1/7, to the nearest integer? 9 What is the third root of 1010186 to the nearest integer? 100 What is the third root of 1720334 to the nearest integer? 120 What is 7489941 to the power of 1/2, to the nearest integer? 2737 What is 610397 to the power of 1/5, to the nearest integer? 14 What is 674449 to the power of 1/3, to the nearest integer? 88 What is 7072737 to the power of 1/7, to the nearest integer? 10 What is the third root of 2189153 to the nearest integer? 130 What is the cube root of 423233 to the nearest integer? 75 What is the square root of 3924014 to the nearest integer? 1981 What is 4105501 to the power of 1/2, to the nearest integer? 2026 What is the third root of 13012727 to the nearest integer? 235 What is 20169 to the power of 1/3, to the nearest integer? 27 What is the tenth root of 6357856 to the nearest integer? 5 What is the cube root of 21006015 to the nearest integer? 276 What is the square root of 5897792 to the nearest integer? 2429 What is 567923 to the power of 1/3, to the nearest integer? 83 What is 7302200 to the power of 1/3, to the nearest integer? 194 What is the square root of 12938815 to the nearest integer? 3597 What is 67604 to the power of 1/10, to the nearest integer? 3 What is 2770612 to the power of 1/5, to the nearest integer? 19 What is 901065 to the power of 1/8, to the nearest integer? 6 What is the square root of 3647639 to the nearest integer? 1910 What is 1248425 to the power of 1/2, to the nearest integer? 1117 What is the eighth root of 902332 to the nearest integer? 6 What is the square root of 8802132 to the nearest integer? 2967 What is 893886 to the power of 1/6, to the nearest integer? 10 What is the square root of 570334 to the nearest integer? 755 What is the seventh root of 3042511 to the nearest integer? 8 What is the third root of 11817 to the nearest integer? 23 What is the eighth root of 7201036 to the nearest integer? 7 What is the fourth root of 1107819 to the nearest integer? 32 What is 6727349 to the power of 1/5, to the nearest integer? 23 What is the fourth root of 5935889 to the nearest integer? 49 What is the square root of 11613742 to the nearest integer? 3408 What is the square root of 7602989 to the nearest integer? 2757 What is 768724 to the power of 1/2, to the nearest integer? 877 What is the sixth root of 7249430 to the nearest integer? 14 What is 2226910 to the power of 1/2, to the nearest integer? 1492 What is the square root of 1524454 to the nearest integer? 1235 What is the square root of 4864 to the nearest integer? 70 What is the cube root of 21877554 to the nearest integer? 280 What is the square root of 3264622 to the nearest integer? 1807 What is 665410 to the power of 1/2, to the nearest integer? 816 What is the third root of 8376510 to the nearest integer? 203 What is the tenth root of 2677 to the nearest integer? 2 What is the third root of 1122087 to the nearest integer? 104 What is 1585355 to the power of 1/4, to the nearest integer? 35 What is the third root of 3085595 to the nearest integer? 146 What is the square root of 42057 to the nearest integer? 205 What is the square root of 2595537 to the nearest integer? 1611 What is the cube root of 130165 to the nearest integer? 51 What is the third root of 21481847 to the nearest integer? 278 What is the eighth root of 1658743 to the nearest integer? 6 What is 1892578 to the power of 1/2, to the nearest integer? 1376 What is the tenth root of 1582599 to the nearest integer? 4 What is the ninth root of 3637565 to the nearest integer? 5 What is 145655 to the power of 1/7, to the nearest integer? 5 What is the square root of 11808936 to the nearest integer? 3436 What is the fourth root of 745631 to the nearest integer? 29 What is the third root of 1751761 to the nearest integer? 121 What is the square root of 4571473 to the nearest integer? 2138 What is 1336876 to the power of 1/9, to the nearest integer? 5 What is the cube root of 169536 to the nearest integer? 55 What is 1618278 to the power of 1/8, to the nearest integer? 6 What is 491461 to the power of 1/5, to the nearest integer? 14 What is 16681586 to the power of 1/6, to the nearest integer? 16 What is the square root of 4955290 to the nearest integer? 2226 What is the fourth root of 1033778 to the nearest integer? 32 What is the fourth root of 646563 to the nearest integer? 28 What is 4606978 to the power of 1/9, to the nearest integer? 6 What is the square root of 1661924 to the nearest integer? 1289 What is the square root of 301731 to the nearest integer? 549 What is the square root of 41917 to the nearest integer? 205 What is the cube root of 182394 to the nearest integer? 57 What is the cube root of 5023613 to the nearest integer? 171 What is the cube root of 2561366 to the nearest integer? 137 What is the third root of 31668 to the nearest integer? 32 What is the tenth root of 4266644 to the nearest integer? 5 What is 175832 to the power of 1/2, to the nearest integer? 419 What is 10893312 to the power of 1/5, to the nearest integer? 26 What is 6721774 to the power of 1/2, to the nearest integer? 2593 What is the seventh root of 720026 to the nearest integer? 7 What is 574563 to the power of 1/2, to the nearest integer? 758 What is 220843 to the power of 1/2, to the nearest integer? 470 What is the third root of 197666 to the nearest integer? 58 What is 41585 to the power of 1/7, to the nearest integer? 5 What is 19321884 to the power of 1/5, to the nearest integer? 29 What is 1205814 to the power of 1/10, to the nearest integer? 4 What is 486993 to the power of 1/2, to the nearest integer? 698 What is 396211 to the power of 1/9, to the nearest integer? 4 What is 1302558 to the power of 1/4, to the nearest integer? 34 What is the cube root of 401698 to the nearest integer? 74 What is the square root of 150251 to the nearest integer? 388 What is 127883 to the power of 1/2, to the nearest integer? 358 What is 2554545 to the power of 1/5, to the nearest integer? 19 What is 1303157 to the power of 1/9, to the nearest integer? 5 What is 6299851 to the power of 1/3, to the nearest integer? 185 What is the third root of 352134 to the nearest integer? 71 What is the seventh root of 686827 to the nearest integer? 7 What is the seventh root of 4480357 to the nearest integer? 9 What is the seventh root of 1166392 to the nearest integer? 7 What is the fifth root of 1837608 to the nearest integer? 18 What is the square root of 153064 to the nearest integer? 391 What is the third root of 403733 to the nearest integer? 74 What is the square root of 292506 to the nearest integer? 541 What is the square root of 6153058 to the nearest integer? 2481 What is 6753 to the power of 1/10, to the nearest integer? 2 What is 22995025 to the power of 1/2, to the nearest integer? 4795 What is the third root of 910993 to the nearest integer? 97 What is the cube root of 955151 to the nearest int
{ "pile_set_name": "DM Mathematics" }
c Let t(q) = 22*q - 7. Let j(h) = 7*h - 2. Let w(g) = -7*j(g) + 2*t(g). Let u be -7 + (-12)/(-4) - 0. Let s(f) = 6*f - 1. What is u*w(d) - 3*s(d)? 2*d + 3 Let w(p) = -15*p**2. Let q(n) = 4*n**2 + 159*n - 159*n + n**2. Give 11*q(v) + 4*w(v). -5*v**2 Let q(x) = -124*x**2 - 9*x - 9. Let h(k) = 62*k**2 + 4*k + 4. What is 9*h(l) + 4*q(l)? 62*l**2 Let o(h) = -2016834*h**2 - 5190*h + 5190. Let x(t) = 1555*t**2 + 4*t - 4. Determine 2*o(b) + 2595*x(b). 1557*b**2 Let c(w) = -6*w + w**2 + 5*w**2 + 4*w - 5. Let q(p) = 5*p**2 - 2*p - 4. Let d = -63 - -66. Let n = d + 2. Determine n*q(t) - 4*c(t). t**2 - 2*t Let o(u) = 1. Let l(y) = -3*y - 4. Let z = -22 - -50. Let j = z - 25. Suppose j*k - k = -5*f + 33, -11 = -4*k + f. Give k*o(d) + l(d). -3*d Let x(a) be the third derivative of a**4/24 - 24*a**2. Let q(i) = 5*i + 1. Calculate -q(c) - 3*x(c). -8*c - 1 Let i(g) = 13*g**3 + g**2 + 13*g + 3. Let t(u) = 28*u**3 + 2*u**2 + 27*u + 6. Determine -13*i(l) + 6*t(l). -l**3 - l**2 - 7*l - 3 Let n(h) = -9*h**2 + 3*h - 2. Let o be n(1). Let v(s) = 5*s**3 - 3*s**2 - s + 2. Let g(y) = 14*y**3 - 8*y**2 - 3*y + 5. Determine o*v(t) + 3*g(t). 2*t**3 - t - 1 Let v(o) = -7*o**3 + 10*o**2 + 6*o - 3. Let d(z) = -z**3 + 2*z**2 + 2*z. Determine 5*d(b) - v(b). 2*b**3 + 4*b + 3 Let w = 333 - 329. Let x(m) = -3*m**2 + 2*m + 3. Let j(u) = -2*u**2 + 2*u + 2. Calculate w*x(c) - 5*j(c). -2*c**2 - 2*c + 2 Let p(s) = 1. Let n = 182 + -179. Let v(z) = z - 4. Give n*p(m) + v(m). m - 1 Let p(w) = 3*w. Let s(c) = -9*c. Suppose -10*v = 12*v - 132. Give v*s(o) + 17*p(o). -3*o Let q(r) = -10*r + 71. Let u be q(7). Let b(a) = a**2 + a + 1. Let y(c) = 9*c + 9. What is u*y(x) - 9*b(x)? -9*x**2 Let k(c) be the second derivative of 2/3*c**3 - 1/6*c**4 + 0 - 3*c**2 - 3*c + 1/4*c**5. Let j(q) = 9*q**3 - 4*q**2 + 7*q - 11. Calculate -4*j(s) + 7*k(s). -s**3 + 2*s**2 + 2 Let s(c) = 4*c**3 - 8*c**2 - 3*c. Let v(h) = -5*h**3 + 7*h**2 + 2*h. Give -2*s(l) - 3*v(l). 7*l**3 - 5*l**2 Let f(w) = -w**2 - 3*w + 3. Let i(d) = -2*d. Let n(l) = -18*l - 2. Let a(t) = -10*i(t) + n(t). Calculate -3*a(v) - 2*f(v). 2*v**2 Suppose 4*f = 9*f - 15. Let u(s) = -s**2 + 8*s - 7. Let r be u(7). Let t be -3 - 1/(r - -1). Let h(j) = -3*j. Let g(m) = -2*m. Calculate f*h(a) + t*g(a). -a Let m be (-2)/(-3)*((-496)/(-32) - 17). Let t(p) = 4*p**2 + 2. Let g(b) = -b**2 - b + 1. Give m*t(d) + 2*g(d). -6*d**2 - 2*d Let h(n) = -66*n**3 - 5*n**2 + n + 4. Let w(k) = 33*k**3 + 2*k**2 - 2. What is -2*h(b) - 5*w(b)? -33*b**3 - 2*b + 2 Suppose -g - 3*a = 16, 4*a = 109*g - 105*g. Let z(m) = 5*m**2 + 5*m + 5. Let b(h) = 2*h**2 - h**3 + 4 - h**2 + 3*h**2 + 4*h. Calculate g*z(r) + 5*b(r). -5*r**3 Let k(t) be the first derivative of t**4/2 - 3*t**2/2 + 2*t - 285. Let a(q) = -3*q**3 + 5*q - 3. What is 3*a(i) + 5*k(i)? i**3 + 1 Let c(s) = s + 2. Suppose -10 = -l + 15. Let o(q) = 46 - 26 - 3*q - l. What is -11*c(k) - 4*o(k)? k - 2 Let l(s) = -3*s**2 + 6*s. Let q(o) be the third derivative of -7*o**5/60 + 11*o**4/24 + 91*o**2. Give -7*l(i) + 4*q(i). -7*i**2 + 2*i Suppose 2*g + 0*y + y = 5, 5*g + 4*y - 11 = 0. Let n(o) = -2*o. Let j(b) be the first derivative of b**2 + 20. Calculate g*n(q) + 4*j(q). 2*q Let a(u) = -7*u - 1. Let v(p) = -3*p + 2. Let l(c) = 7*c - 5. Let h(g) = 2*l(g) + 5*v(g). Let z be (-1 + 0 - 1) + -4. Calculate z*h(t) + a(t). -t - 1 Let b(c) = 9*c**2 + 9*c + 2. Let q(k) be the third derivative of 1/6*k**3 + 1/6*k**4 + 0*k + 0 + 5*k**2 + 1/15*k**5. Let h = -1 - 4. Give h*q(g) + 2*b(g). -2*g**2 - 2*g - 1 Let r(g) = -2*g**2 - g + 6. Let s(p) = -4*p**2 - 4*p + 16. Calculate 8*r(n) - 3*s(n). -4*n**2 + 4*n Suppose -2*o + 6 = o. Let w(f) = -6*f**2 + 3*f - 3. Let q(d) be the second derivative of d**4/12 - d**3/6 + d**2/2 + 87*d. Calculate o*w(h) + 6*q(h). -6*h**2 Let x(y) = -3*y**3 - 6*y**2 - 6*y - 8. Let t = 3815 + -3810. Let n(a) = 3*a**3 + 5*a**2 + 5*a + 7. Let h = 18 - 12. Calculate h*n(i) + t*x(i). 3*i**3 + 2 Let x(g) = g**2 - 23 + 0*g + 0*g - 251*g**3 + 253*g**3. Let c(f) = f**3 + f**2 - 12. What is 5*c(w) - 3*x(w)? -w**3 + 2*w**2 + 9 Let y(l) = 5*l - 3. Let r(p) = -3*p + 3. Let v(z) = -6*r(z) - 4*y(z). Let a(n) = -10*n - 30. Calculate 2*a(k) - 11*v(k). 2*k + 6 Let n(t) = 6*t**3 - 12*t**2 - 6*t + 49. Let u(y) = -6*y**3 + 14*y**2 + 7*y - 52. Determine -7*n(f) - 6*u(f). -6*f**3 - 31 Let b(x) = 5. Let f(p) = -359*p + 15. Determine -3*b(u) + f(u). -359*u Let c = -122 - -126. Let r(m) = -m - 17 + 9 + c. Let y(f) = -f - 2. What is -3*r(v) + 5*y(v)? -2*v + 2 Let o(b) = 305*b**2 + 8*b - 4. Let z(d) = d**2 + 2*d - 1. What is -o(v) + 4*z(v)? -301*v**2 Let t(s) = 5. Let i(z) = 130*z - 18. Give i(y) + 4*t(y). 130*y + 2 Let m(k) = 40*k**3 - 12*k**2. Let t(n) = 16*n**3 - 5*n**2. Let f be (-6)/(-30) + 236/20. Give f*t(w) - 5*m(w). -8*w**3 Let x(y) = -y**2 + y + 1. Let v(o) = -31*o**3 + 3*o**2 + 14*o - 20. Let z(q) = 11*q**3 - q**2 - 5*q + 7. Let i(d) = 6*v(d) + 17*z(d). Determine 3*i(r) + 3*x(r). 3*r**3 Let m(i) = -2*i - 1. Let j(k) = -949*k - 146. Give j(d) - 146*m(d). -657*d Let w(g) = g. Let k(s) = -s**2 + 6*s**2 + 5*s - 1565 + 1564. What is k(u) - 5*w(u)? 5*u**2 - 1 Let z(b) = -b - 2. Let k be ((-25)/70*-7)/((-1)/2). Let q be 3/((-2)/8*-6). Let r(s) = q + 0*s - 5 - s. What is k*z(p) + 3*r(p)? 2*p + 1 Let u(d) = -4*d**3 - d**2 + d. Let r be -2 - -3*3/9. Let c(t) = 13*t**3. Let w(j) = 7*j**3. Let k(q) = 6*c(q) - 11*w(q). What is r*u(m) - 3*k(m)? m**3 + m**2 - m Let q(y) = -4*y - 4. Suppose -256*k + 259*k - 9 = 0. Let b(i) = -5*i - 5. Calculate k*q(v) - 2*b(v). -2*v - 2 Suppose 82*a = 83*a + 2. Let s(f) = f**3 + 2*f**2 - 2*f + 1. Let m(c) = -6*c**3 - 11*c**2 + 10*c - 5. Give a*m(b) - 11*s(b). b**3 + 2*b - 1 Let z(i) = i**2 + 2*i + 1. Let u(v) = 7*v**2 - 11*v - 21. Give -u(a) - 6*z(a). -13*a**2 - a + 15 Let q(j) = 2*j**3 + 38*j**2 - 8*j + 3. Let w(a) = -5*a**3 - 114*a**2 + 22*a - 9. Calculate -11*q(i) - 4*w(i). -2*i**3 + 38*i**2 + 3 Let l(f) = -f. Let z(y) = y - 11. Suppose 5 = -4*n - 3*p + 42, 12 = 4*p. Let c be z(n). Let q(w) = 2*w + 2. Determine c*l(d) - q(d). 2*d - 2 Let r(v) = -5*v**2 - 308*v - 2. Let f(o) = 2*o**2 + 1. Determine -2*f(s) - r(s). s**2 + 308*s Suppose 4*m = -2*z - 27 + 17, 5*m = 2*z - 26. Let p(x) = -4*x + 4. Let n(a) = -11*a + 11. What is z*n(u) - 8*p(u)? -u + 1 Let b(r) = -18*r. Let n(j) = 442*j. Let s(i) = -11*i. Let o(m) = 3*n(m) + 119*s(m). Calculate -6*b(t) - 7*o(t). -11*t Let l = 35 + -20. Let d be (-2)/5 + 201/l. Let i(t) = -3 - 7*t - d*t + 7 + 2. Let k(w) = 7*w - 2. Determine 6*i(o) + 17*k(o). -o + 2 Let n(v) = v**2 + 5*v + 10. Let t be n(-2). Let r(w) = -3*w**3 + 3*w. Let m(o) = -2*o**3 + 2*o. Determine t*m(s) - 3*r(s). s**3 - s Let f(m) = -10*m**2 - 10*m + 15. Let k(z) = -696*z - 6*z**2 + 694*z + 3 + 4*z**2. What is 2*f(j) - 11*k(j)? 2*j**2 + 2*j - 3 Suppose -6*a + 27 + 9 = 0. Let f(o) = -5*o**3 - 2*o**2 + 6*o + 6. Let c(i) = 4*i**3 + 3*i**2 - 5*i - 5. Give a*c(w) + 5*f(w). -w**3 + 8*w**2 Let m = 61 + -58. Let r(n) = 73*n - 38*n + n**2 - 37*n - m. Let v(y) = -y**2 + y + 1. Determine -r(c) - 2*v(c). c**2 + 1 Let a(j) = -2*j**2 + 4*j - 1. Suppose 10*k + 6*k - 48 = 0. Let y(w) be the third derivative of -1/24*w**4 + 0*w + w**2 + 0 + 1/6*w**k. What is -a(p) - 2*y(p)? 2*p**2 - 2*p - 1 Suppose 14*z + 10 = 2*n + 12*z, 5*n + 3*z = 17. Let r(j) = 2*j**2 + 3*j - 2. Let g(f) = -f + 1. Determine n*g(b) + r(b). 2*b**2 - b + 2 Let t(l) = 25875*l**2 + 115*l + 115. Let r(g) = 454*g**2 + 2*g + 2. What is 115*r(b) - 2*t(b)? 460*b**2 Let w(c) = -c**3 - 4*c**2 - 3. Let n(d) = 2*d**3 + 9*d**2 + d + 7. Determine 2*n(v) + 5*w(v). -v**3 - 2*v**2 + 2*v - 1 Let d(a) = -a**2 - a - 6. Let w(i) = -17*i**2 + 15*i + 24. Let b(y) = 4*d(y) + w(y). Let z(k) = 4*k**2 - 2*k. Give 2*b(q) + 11*z(q). 2*q**2 Let n(v) = 9*v - 15. Let k(x) = -2 + 1 + 20 - 42*x + 3 + 29*x. Determine -5*k(a) - 7*n(a). 2*a - 5 Let u = 1177 - 1191. Let l(k) = -10*k + 14. Let q(j) = 2*j - 3. Suppose -4*z = -2*y - 32, 5*z - y - 35 = 4*y. Let b = 6 - z. Calculate b*l(a) + u*q(a). 2*a Let n(f) = -266 + 4*f - 269 + 544 + 6*f**2. Let l(a) = -3*a**2 - 2*a - 4. Give 9*l(k) + 4*n(k). -3*k**2 - 2*k Let u(q) = q + 1. Suppose -m + 6 = m. Let g(n) = 5*n**2 + 2*n - 3*n**2 - 12*n + 1 + 14*n. Determine m*u(f) - g(f). -2*f**2 - f + 2 Let x(f) = f + 19. Let p(u) = 1. What is -3*p(d) + x(d)? d + 16 Le
{ "pile_set_name": "DM Mathematics" }
r*p + h + w*p**3 + c*p**2 and give w. -139 Rearrange 5*m**2 + 3 - 2*m + 7*m**2 - 12*m**2 + 4*m**4 to d*m**3 + y + k*m**4 + i*m + w*m**2 and give k. 4 Express (-1 + 2 + 18)*(0 + 0 - 2*h**3) as a*h + s*h**2 + l*h**3 + r and give l. -38 Rearrange 8*s**2 - 2*s**2 - 3*s**2 + 92 - s**2 to i + o*s**2 + h*s and give i. 92 Rearrange -2 + 0*v - 3*v + 5*v - 5*v to the form n*v + k and give k. -2 Rearrange (7*h + 3*h - 5*h)*(2*h - 3*h + 0*h) + 2*h**2 + 0*h**2 - 3*h**2 + (2*h - h + 0*h)*(-5 - h + 5) + 0 + 0 - 3*h**2 to a + d*h + v*h**2 and give v. -10 Express 12*y**2 + 5*y**2 - 8*y**2 - 3*y**2 + 4 in the form c*y + s*y**2 + d and give s. 6 Rearrange 3*l**3 - 5*l + 17*l**2 - 33*l**2 + 14*l**2 to the form u*l + f*l**3 + p + i*l**2 and give i. -2 Express -3*b**4 - 3*b**4 + 3*b**4 + (136*b - 136*b - 4*b**2)*(b**2 - 2*b**2 + 0*b**2) in the form i*b**3 + w + h*b**4 + r*b**2 + l*b and give i. 0 Rearrange 0*n - 2*n**3 + 4*n**3 - 1 - n to a + y*n**2 + p*n**3 + j*n and give a. -1 Rearrange (-3 + 3 - 4)*((-8*q + 2*q + 0*q)*(2 - 6 + 2) + 4*q + 3*q - 2*q) to m + y*q and give y. -68 Express (-5*h - 14 - 11*h + 18*h)*(0*h**2 - h**2 + 3*h**2) in the form i*h**2 + u*h**3 + f + l*h and give i. -28 Express -306*y + 1 + 306*y + 7*y**2 as z*y + i*y**2 + c and give z. 0 Express (-4*k - 2*k + k + (-1 - 3 + 3)*(k - 2 + 2) - k - 2*k + 4*k - 2 + 2 - 2*k)*(-2 + 1 + 3) as z + q*k and give q. -14 Rearrange (5 + 1 - 2)*(4*g + 4 - 4) + 2*g - 7*g + 0*g + (-1 + 2 - 2)*(3*g + 3*g - 4*g) to the form i*g + s and give i. 9 Rearrange 4*h**3 + 11*h - 10*h + 12 - 5 to the form m + u*h + d*h**3 + z*h**2 and give m. 7 Express (3 + 6 + 652*z - 649*z)*(0 - 3 + 5) as v + h*z and give v. 18 Rearrange (-j**2 - 18*j**2 - 12*j**2)*(1 - 2*j**2 - 2 + 3) to q*j**2 + l*j**3 + g*j + h + o*j**4 and give o. 62 Express 2*k**4 - 6*k**3 - 3*k**2 + 2*k**3 + 1 + 7*k**3 in the form b + v*k**3 + n*k + i*k**4 + x*k**2 and give x. -3 Rearrange -2*t + t**2 + 2*t**4 - 1 - t**2 - 5*t**4 to the form b + k*t**3 + y*t + u*t**2 + d*t**4 and give d. -3 Express k**3 - 2*k**4 - k**2 + 0*k**3 - k**3 - 2*k + k**3 as x + f*k**2 + g*k**4 + w*k**3 + n*k and give g. -2 Rearrange (-2*i**2 - 2*i + 2*i)*(-i**2 + i**2 - 2*i**2) - 34 - 45*i**4 - 49*i**4 + 96*i**4 to o*i**3 + c*i + t + n*i**4 + y*i**2 and give t. -34 Express 6*y + 0*y - 2*y in the form k + s*y and give s. 4 Express -3*f**3 - f**4 - 3*f**3 + 0*f**4 + 2*f**3 + 3*f**2 as m*f + s*f**3 + u*f**2 + b*f**4 + n and give b. -1 Express (3*p - 16 + 16)*(4 - 4 - p) as n*p + q + z*p**2 and give z. -3 Express 3*t**3 + 1 + 2*t**2 + 2*t**4 - 4*t**3 - 1 - 22*t as f*t + y*t**2 + v + b*t**4 + r*t**3 and give b. 2 Express (-f + 0 + 0 + (27 - 82 + 24)*(-f + f - 2*f))*(-5 + 5 + 3)*(0*f**2 + 2*f**2 - 3*f**2) in the form y*f + n*f**3 + b + v*f**2 and give n. -183 Rearrange 44*t - t + 74*t to the form v + r*t and give r. 117 Express (0*t + 4*t - 2*t)*(-t - 5*t - 5*t) as q*t + j*t**2 + f and give j. -22 Express 9 + 7*s - 6 - 3 in the form o + u*s and give u. 7 Express -f + 4 + 2*f**4 - 5 + f**4 as a*f**3 + g*f**2 + h + x*f**4 + m*f and give m. -1 Rearrange 3*n**3 + 5 - 2*n**2 - 376*n + 376*n + n**2 to the form g*n**3 + o + u*n + z*n**2 and give z. -1 Express (5 - 5 - 3*t)*(t**2 - t**2 - t**2 + (4 - 4 - t)*(4*t + 0*t + t)) as a*t**3 + w + d*t**2 + q*t and give a. 18 Rearrange -4*u**4 - 4 + 2 + 1 + u to the form g*u**3 + m + x*u + r*u**2 + z*u**4 and give x. 1 Rearrange 10*m + 3 - 4 + 3 - 6 to the form n + c*m and give n. -4 Express -g**4 - 15 + g**3 + 8*g**2 - 2*g**2 - 7*g**2 in the form w*g + s*g**2 + m + y*g**4 + c*g**3 and give m. -15 Rearrange z + z**3 + 4 - z - 4*z**2 - 2 to the form x*z**3 + t*z + d + j*z**2 and give j. -4 Rearrange -8*p + 9*p - 7*p + 4 + (0 + 6 - 4)*(-p - p + p) to j*p + l and give j. -8 Express 0*i**2 + 3*i**4 + 0*i**2 + 2 + 0*i**2 + 2*i in the form a + x*i**3 + w*i**2 + n*i**4 + t*i and give a. 2 Express -12 + 2*m**2 + 12 as f*m**2 + u*m + r and give f. 2 Rearrange (-4 + 0 + 0)*(-2 - 3*g**3 + 2) - 2*g - 2*g**3 + 0 + 0 to n*g + a + k*g**3 + x*g**2 and give n. -2 Rearrange (-6 + 3 - 3)*(12*b - 11*b**2 - 12*b) to v*b + c + p*b**2 and give c. 0 Express 2*c**2 - 6*c**2 + c**2 + 3*c - 2*c**3 in the form h*c**3 + p*c**2 + o + b*c and give b. 3 Rearrange -39*f + 25*f - 3 + 3 to b + q*f and give q. -14 Rearrange 6 - 6 + 26*b + 3*b to the form f*b + l and give f. 29 Express 12*x**2 + 19*x**2 - 16 - 52*x**2 + 19*x**2 in the form g + k*x**2 + l*x and give l. 0 Express 4*h + 7*h + 8*h - 15 - 21*h as b + w*h and give w. -2 Rearrange -19*f - f**4 + f**3 - 2*f**3 + 21*f - 1 to b*f**4 + r*f**2 + v*f**3 + d*f + y and give d. 2 Rearrange (2*g + 1 - 1)*(0 + 5 + 0)*(7 + 10 - 7)*(4*g**3 + 0*g**3 - 2*g**3) to the form y*g**4 + r*g + w + c*g**2 + k*g**3 and give k. 0 Express -3*h**2 + h**3 - 2 - h - 21*h**4 + 19*h**4 + 5*h**2 in the form s*h + j*h**4 + u*h**2 + d + o*h**3 and give s. -1 Rearrange 0*u - 5*u - 6*u - u**3 - 3*u to the form l + k*u**3 + b*u**2 + w*u and give w. -14 Express -69*o + 10 + 67*o + 1 in the form t + z*o and give z. -2 Rearrange (-3*u + 3*u - 2*u)*(-42*u - 14*u**2 + 42*u) to the form v*u + h + q*u**2 + k*u**3 and give k. 28 Express 0*g**2 - g + 0*g - g**2 - 2*g**2 - 2*g**4 in the form c*g + x*g**4 + k*g**2 + v + w*g**3 and give k. -3 Express -3*m**3 + m**2 - m**2 + (-2*m + 2*m - m)*((-5*m - 4*m + m)*(0*m - m + 3*m) - 2*m**2 + 5*m**2 - 2*m**2) in the form i*m + j + o*m**2 + y*m**3 and give y. 12 Rearrange -5*n**4 - 10*n + 12*n + 5*n**2 + n**4 + 5*n**4 - n**3 to the form f*n**4 + s*n + r*n**2 + i + h*n**3 and give s. 2 Rearrange (-4 + 3 - 1)*(10*s - 2*s + 4*s)*(1 + 1 - 3) to z + g*s and give g. 24 Rearrange v - 17*v**3 + 24*v**3 + v**2 - 10*v**3 - 2*v**2 to the form y + p*v**2 + j*v + o*v**3 and give p. -1 Express y**2 - 2*y**2 + 1 + 0*y**2 + (2*y + 0*y + 0*y)*(-21*y + 34*y - 28*y) as a*y**2 + c*y + q and give a. -31 Rearrange (-2 + 2*o - 36*o**2 - o - 8*o**2)*(o + o - 4*o) to l*o**3 + r*o + z*o**2 + p and give z. -2 Express 6*z**2 - 3*z**2 + z**4 - 4 + 2 + 9*z**3 as t*z**4 + d*z**3 + x*z + s + b*z**2 and give b. 3 Rearrange 2 + 0 + 8*r**2 + 10*r**2 + 0*r**2 to the form o*r + y + w*r**2 and give w. 18 Express 7*q + 5 - 6*q + q**3 + q as p*q + r*q**2 + i*q**3 + u and give p. 2 Express (-10*t + 10*t + 5*t**2)*((-1 + 5 - 2)*(-2*t + 0*t + t) - 3 + t + 3 + 6 - 6 - t) + 4*t**2 - 4*t**2 - t**3 as o*t**2 + y + x*t + g*t**3 and give g. -11 Express -14*w**3 + 24*w**3 - 7*w**3 - 5*w as c*w**3 + h*w + y*w**2 + z and give c. 3 Rearrange 14*g**3 - 2*g**3 + 2*g**2 - 11*g**3 to the form a*g**2 + f*g**3 + b + y*g and give a. 2 Express 0 + 0 - 3*a**4 + (-3*a**2 + 5*a**2 - a**2)*(-3*a**2 + 3*a**2 - a**2) - 18*a**2 + 18*a**2 + 8*a**4 as s + f*a + q*a**2 + i*a**4 + x*a**3 and give q. 0 Express (6 - 4 - 4)*(-25*t - 18 + 18) in the form m*t + f and give m. 50 Express -8*s**2 + 2*s**2 + 2*s**2 + 2 in the form i*s**2 + a*s + v and give v. 2 Rearrange 0*k + 3*k + 2*k to z*k + i and give z. 5 Rearrange -6*w**3 - 8*w**3 + 5*w**3 + (-3*w**2 + w**2 + w**2)*(2*w - 3*w + 0*w) + 4*w**3 - 2*w**3 + 4*w**3 to a + f*w**3 + d*w + s*w**2 and give f. -2 Rearrange (8*j**3 + 0 + 0)*((2 + 2 + 4)*(-2*j + 0*j + 3*j) + 2*j + j - j) to x*j**2 + g + h*j**4 + w*j**3 + c*j and give h. 80 Rearrange -15 - 10 + 6*n + 28 to f*n + k and give k. 3 Express ((-3 + 0 + 2)*(-5 + 1 + 5) + 12 + 1 + 0)*(1 - 1 + 2)*(4*m**2 - 1 + 1) as r + j*m + x*m**2 and give j. 0 Rearrange -14*b - 12*b + 4*b + 5*b to the form x + u*b and give u. -17 Express 2*l + 3*l + 2*l + 5 - 4*l as u + r*l and give r. 3 Rearrange (-x - 4 + 4)*((2*x - 2*x + 2*x)*(x - 2*x + 3*x) + 3 - 2*x**2 - 3 + 18 - 4*x**2 - 18) to the form i + l*x + f*x**2 + d*x**3 and give d. 2 Rearrange (0*u + 2*u**2 + 0*u)*(-2*u + 9*u - u) + 3*u - u**3 - 3*u to the form l*u**2 + k*u**3 + s + h*u and give k. 11 Rearrange (2*m + 0*m - m)*(10 + 2*m + 46 - 21) to u*m + k*m**2 + z and give z. 0 Rearrange (2*j**2 + 0*j + 0*j)*(20*j**2 - 20*j**2 - 29*j**2) to the form r + z*j**2 + x*j**3 + w*j + m*j**4 and give m. -58 Rearrange -10*m**3 + 2*m - 5*m**2 + 10*m**3 + 4*m**4 to f*m + a*m**4 + p*m**2 + x + n*m**3 and give x. 0 Rearrange -c**2 + 9*c + c**3 - 4*c - 4*c - 2*c - 3 to t*c**3 + v*c + u*c**2 + h and give v. -1 Rearrange d - 2*d**2 - d + (0*d + 3*d - 2*d)*(d - 3*d + 0*d) + (-3*d - 3*d + 4*d)*(-d -
{ "pile_set_name": "DM Mathematics" }
*x = 4 + 5. Sort -1, x, f. f, -1, x Let i be 24/(-11) - ((-1)/(-3) + (-459)/891). Put 1, 308, i in decreasing order. 308, 1, i Let w = 4.23 + -4.73. Let m = -1.044 + 0.044. Put -1.8, m, w in ascending order. -1.8, m, w Let y be (-32)/240 + (-219)/45 - 242. Sort 1, y, -1. y, -1, 1 Let f = 4351.4 - 4351. Let d = 19 + -23. Sort 0.1, d, 4, f in descending order. 4, f, 0.1, d Let a = 234 - 191. Let f be 3/(a/(-7) + 6). Put 0.5, -3, f in decreasing order. 0.5, -3, f Let x = -3 + 5. Suppose 3*g - 2*k = -78 + 79, 13*g = -4*k + 55. Sort 13, g, x in ascending order. x, g, 13 Let u be 2*2/(8/22). Let y be 77/22*8/40*6/(-7). Put u, -2/9, y, 0.4 in decreasing order. u, 0.4, -2/9, y Suppose 50*a - 49*a = 2. Put -1, 0, a in descending order. a, 0, -1 Let s = -15.5 + 16. Let q(h) = -h**2 - 4*h + 10. Let j be q(-6). Let z = -100 + 105. Sort 8, s, j, z in decreasing order. 8, z, s, j Suppose 2*o + 23 = o. Let p = o - 0. Let j = p + 22. Put -4, 2, j in descending order. 2, j, -4 Let r = 4854 + -4838. Let t = 12 - 10. Suppose t = -3*x - 1. Sort r, x, 5. x, 5, r Let y = -3177/2 - -4766/3. Put 2, y, -21, -1/4, 2/13 in increasing order. -21, -1/4, 2/13, y, 2 Let u = -61/28 - -7/4. Let s = -0.488 - -0.112. Let x = s - -0.476. Sort x, -1, u, 1 in descending order. 1, x, u, -1 Let f = 128 - 1918/15. Let a = -0.1 - -0.6. Suppose -3*i - 4*c = 15, -43*c = -47*c - 24. Sort i, f, a in decreasing order. i, a, f Let t = 864.95 - 831. Let i = t - 34. Let z = 9551/7 - 1364. Sort i, -1, z in descending order. z, i, -1 Suppose 262 - 2161 = -4*y + 5017. Put 4, 1, y, -3, 3 in ascending order. -3, 1, 3, 4, y Let i = 3 - 3. Let r = 237.5 - 193. Let z = r - 41.5. Sort z, i, -1/12 in increasing order. -1/12, i, z Let g be -2 - (-7 - (-5 - -6)) - 8. Suppose w + 26 = -4*j, 10 = -5*w - 0*w + 4*j. Put g, 3, -5, w in descending order. 3, g, -5, w Let c(p) = -421*p + 11319. Let d be c(28). Sort -17, d, -5 in decreasing order. -5, -17, d Let k be 0 - (-1)/(7/2). Let d = 953.8 - 986. Let a = d + 34.2. Sort a, 0, k, 23. 0, k, a, 23 Let o(z) = -z + 2. Let g(d) = d**2 + d - 1. Let i(h) = -g(h) + o(h). Let j be i(-2). Sort -11, j, -3, -5 in ascending order. -11, -5, -3, j Let z = -3 - -2. Suppose 0 = 4*s + 4*c - 28, s - 7 + 20 = 4*c. Let g(v) = -v**3 + 2*v**2 + 10*v - 19. Let p be g(s). Put p, z, 1, -2 in decreasing order. p, 1, z, -2 Suppose n - 5*q + 1 = -36, 22 = -n + 2*q. Let x be (-8)/(-10)*30/n. Let i = x - -8/5. Sort i, 0.1, -2, -0.06 in ascending order. -2, i, -0.06, 0.1 Let w(k) = -4*k + 4. Suppose -l - 1 = -3. Let x be w(l). Let a(u) = u**2 + 4*u - 2. Let g be a(x). Put 4, g, -1 in increasing order. g, -1, 4 Let m(v) = v**3 - 4*v**2 - 4*v - 7. Let y be m(5). Let u(s) = -5*s - 87. Let q be u(-15). Let c be ((-45)/q)/((-12)/8)*y. Put 6, c, 3 in descending order. 6, c, 3 Suppose -5*b - 40 + 25 = 0. Let u be 440/(-120) - (-4)/b. Put u, -2, 20 in descending order. 20, -2, u Let s = 2.98 + -16.98. Sort s, 3/2, -5/3, 1/6, 1 in ascending order. s, -5/3, 1/6, 1, 3/2 Let i = 5139 - 5156. Let h(b) = -6*b**2 + 2*b + 1. Let f be h(-1). Sort f, i, 5 in descending order. 5, f, i Let o be (-2)/18*(24 - -4). Let d = 241/63 + o. Let n = -3.6 - 0.4. Put 0, d, 0.4, n in decreasing order. d, 0.4, 0, n Let h = 2.77164 + 0.01836. Put -3, h, 0 in decreasing order. h, 0, -3 Suppose 5*w - 2*f = f + 15, -3 = -w + 3*f. Suppose n = 4*d + 21 + 81, w*d + 65 = -5*n. Let s = -27 - d. Sort 10, s, -1, 2 in increasing order. s, -1, 2, 10 Suppose 175 = -7*y + 12*y. Let i = y + -37. Let w = 28 - 32. Sort w, i, 3 in ascending order. w, i, 3 Let i(r) = 8*r**3 + r**2 - 2*r + 1. Let l be i(1). Let f = l - 8. Suppose 20*o = -4*t + 21*o - 14, o + 2 = 0. Sort -6, 4, f, t in decreasing order. 4, f, t, -6 Suppose 0 = 44*l - 45*l + 2*h - 8, 8 = 4*h. Let g be (2/l)/(29/116). Let i = 7 + -10. Sort i, 4, g in decreasing order. 4, g, i Let k(y) = 49*y + 6114. Let p be k(-95). Put -5, -0.4, 3, p in decreasing order. p, 3, -0.4, -5 Let d = -1.873 + 2.373. Sort 3, d, 113, 0.4 in increasing order. 0.4, d, 3, 113 Let t = 201 + -1404/7. Let l(z) = 2*z**3 - 11*z**2 + 6*z - 5. Let a be l(7). Let v = a + -1646/9. Put v, t, 1 in increasing order. t, 1, v Let v = 1/8526 + 338603/8526. Let y = v - 1147/28. Let f(g) = g**3 + 5*g**2 - 7*g - 7. Let l be f(-6). Put l, 0.2, y in decreasing order. 0.2, l, y Let s(z) = 4*z**3 - 2*z**2 - 2*z + 4. Let i be s(2). Let j = i + -24. Let d be 8/2 - j/27. Sort 0.2, 2/11, d in descending order. d, 0.2, 2/11 Let g(x) = 2*x - 4. Let n be 7/2 - 2/4. Let b be g(n). Suppose 3*d - 5 = z - 2*z, 5*d = 3*z - 15. Sort z, b, 1, -4 in increasing order. -4, 1, b, z Let z = 41 - 24. Let g be (-3)/4 - (z - 17). Suppose -9*d + 10 = 1. Sort 1/4, g, d in decreasing order. d, 1/4, g Let d be (561/(-340))/(2/5). Put d, 5, -2 in increasing order. d, -2, 5 Let r(b) = b**2 + 3*b - 1. Let i be r(-4). Let y(v) = -v**2 + 28*v - 79. Let d be y(3). Put i, 11, d, 14 in increasing order. d, i, 11, 14 Let g = 10 + -16. Let s = -248.0256 - -0.0256. Let k = 247.9 + s. Put -5, g, k in ascending order. g, -5, k Let t(j) = 67*j**2 - 689*j - 2. Let u be t(10). Sort -2, u, 2 in ascending order. u, -2, 2 Let r = 1115.4 + -1117.4. Sort 2, 5, r, -0.44, 0.3 in descending order. 5, 2, 0.3, -0.44, r Let v = -4.701 + 5.101. Let r = -4 + 7. Let s = 14 - r. Put v, 1, s in ascending order. v, 1, s Suppose -4*h = -4*v + 68, 2*h - 24 = -30. Sort v, 2, -32 in decreasing order. v, 2, -32 Suppose 6*j + 123 - 411 = 0. Let u be (-1)/(-3) - j/(-18). Sort 0.06, u, -2/5 in descending order. u, 0.06, -2/5 Suppose 0 = 7*v + 122 - 185. Sort -1, -56, v, 5 in ascending order. -56, -1, 5, v Let j(a) = 2*a + 9. Suppose s = -4*t - 6, -3*s + 5*t - 5 = -38. Suppose 8*g - s*g = -6. Let p be j(g). Sort -1, p, 2, -3. -3, -1, 2, p Suppose 4*u - 35 = 5*f - 0*u, 0 = -u + 5. Suppose l - 12 = -5. Let o = -17549 + 17548.7. Sort -1/4, f, l, o in decreasing order. l, -1/4, o, f Let w be 10/(-5)*18/(-12). Suppose -3*s = 3*r + 228, 4*r - 374 = 5*s + w*r. Put 0, -2, s in descending order. 0, -2, s Let o = -43 - -27. Let i = -212.86 + 213.26. Sort 2/7, o, 2, i in decreasing order. 2, i, 2/7, o Let l = 1188 + -1183. Sort l, -2, 17, -1. -2, -1, l, 17 Let q(m) = -m**3 - 31*m**2 - 200*m - 41. Let f be q(-22). Let r = -113/4 + 28. Sort 1.6, -1, r, f. -1, r, 1.6, f Let a(y) = -2*y**3 - 12*y**2 - 23*y - 8. Let z be a(-8). Let u = -442 + z. Put u, -5, -6 in increasing order. u, -6, -5 Let j = -13516/2193 - -188/129. Let r = j + 2994/629. Sort r, 5, 0 in increasing order. 0, r, 5 Let m be (-230)/(-69)*(-3)/2. Put m, -594, -2 in decreasing order. -2, m, -594 Suppose 66 - 100 = -35*n + 141. Put -3, -2, -27, -1, n in descending order. n, -1, -2, -3, -27 Let n = 865 + -865.5. Let t = 0.3 + -0.4. Let s = t - n. Put -5, 4/11, s in descending order. s, 4/11, -5 Suppose -17*m = 6*m. Let t be (0 + 42)/7 + (-3 - m). Put -2, -30, t in descending order. t, -2, -30 Let t = 3.2506 + 0.7494. Put t, -16, 1, 0.41 in increasing order. -16, 0.41, 1, t Let c be 13/(819/(-14))*(25/10)/(-5). Put 1/5, c, 27 in increasing order. c, 1/5, 27 Let u = -282.1 - -280.9. Sort -1/10, u, 0.4, -2/9 in descending order. 0.4, -1/10, -2/9, u Let v = -17730 - -17735. Put -1, 16/49, -4, v in increasing order. -4, -1, 16/49, v Let w = 11939 + -11942. Sort -1/2, w, 0, -4, -0.2. -4, w, -1/2, -0.2, 0 Suppose -17*f + 12*f + 28 = -2*q, 21 = 3*q + 3*f. Sort 4, -1, -28, q in descending order. 4, q, -1, -28 Suppose -39*n - 1047 = -1164. Suppose -d + 5*d = 4. Let x = d - 1. Sort x, n, -5 in descending order. n, x, -5 Let a(l) = 64*l**2 + 5120*l - 6. Let h be a(-80). Put 1, 2.85, h in ascending order. h, 1, 2.85 Let f = 0.0656 - -0.0554. Let q = -0.379 - f. Let j(g) = 2*g**2 + 3*g + 1. Let u be j(-2). Sort q, u, -2/15. q, -2/15, u Let g = -0.14 + 5.14. Let i = 3 - g. Let w be (-14)/(-12) + 23/((-414)/(-24)). Put 0, w, i in ascending order. i, 0, w Let d = -5 - -5. Let q = 31699 - 31695. Sort d, 3, q in decreasing order. q, 3, d Let u = 0.09364 - 11.09364. Let b = 2.6 - 2. Sort u, b, -2 in descending order. b, -2, u Let b be (5 + 8 - 13)/(-4). Let z be 18/3 - 4/1. Put z, 1, b in decreasing order. z, 1, b Let k = -0.1 - -1.1. Let p be (-18)/(-54) - (1 + (-22)/24). Let d = -19/3 + 41/6. Put d, k, p in increasing order. p, d, k Let l = 91 - 39. Suppose 2
{ "pile_set_name": "DM Mathematics" }
, 444916? -2*k**2 - 145*k + 446029 What is the y'th term of 1846, -3988, -19854, -50768, -101746, -177804, -283958? -836*y**3 + 18*y + 2664 What is the z'th term of 2362, 1793, 276, -2663, -7498? -79*z**3 - 16*z + 2457 What is the c'th term of -3009, -6241, -9473, -12705? -3232*c + 223 What is the y'th term of -12184948, -12184942, -12184934, -12184924? y**2 + 3*y - 12184952 What is the z'th term of -4259, -6445, -8641, -10847, -13063? -5*z**2 - 2171*z - 2083 What is the b'th term of 18307, 25084, 31859, 38632, 45403? -b**2 + 6780*b + 11528 What is the d'th term of -31687, -57345, -83003, -108661, -134319, -159977? -25658*d - 6029 What is the c'th term of 309076, 618129, 927182, 1236235, 1545288, 1854341? 309053*c + 23 What is the l'th term of 119623, 119669, 119715, 119761, 119807, 119853? 46*l + 119577 What is the m'th term of -6675, -10766, -14857, -18948, -23039, -27130? -4091*m - 2584 What is the n'th term of -8262592, -16525198, -24787780, -33050326, -41312824, -49575262, -57837628? 2*n**3 - 8262620*n + 26 What is the q'th term of -76898, -76976, -77186, -77594, -78266, -79268, -80666? -11*q**3 - q - 76886 What is the h'th term of 2639, 5786, 8945, 12116, 15299? 6*h**2 + 3129*h - 496 What is the t'th term of -38160, -38097, -37904, -37515, -36864, -35885, -34512, -32679? 11*t**3 - t**2 - 11*t - 38159 What is the s'th term of 1553585, 1553560, 1553545, 1553546, 1553569, 1553620, 1553705? s**3 - s**2 - 29*s + 1553614 What is the f'th term of 257, 1050, 2283, 3956? 220*f**2 + 133*f - 96 What is the f'th term of 3562006, 7124014, 10686022? 3562008*f - 2 What is the s'th term of -1162364, -2324762, -3487160? -1162398*s + 34 What is the s'th term of -477, -1754, -3895, -6900, -10769, -15502, -21099? -432*s**2 + 19*s - 64 What is the s'th term of 39407, 78516, 117629, 156746, 195867, 234992? 2*s**2 + 39103*s + 302 What is the h'th term of 2039, 4085, 6141, 8207, 10283, 12369, 14465? 5*h**2 + 2031*h + 3 What is the p'th term of 14849, 15275, 15705, 16139, 16577, 17019? 2*p**2 + 420*p + 14427 What is the y'th term of 667688, 1335417, 2003148, 2670881, 3338616, 4006353, 4674092? y**2 + 667726*y - 39 What is the k'th term of 341, 543, 915, 1457, 2169? 85*k**2 - 53*k + 309 What is the w'th term of 103265566, 206531136, 309796710, 413062288? 2*w**2 + 103265564*w What is the d'th term of -338953, -338760, -338559, -338350, -338133, -337908, -337675? 4*d**2 + 181*d - 339138 What is the a'th term of 57, 416, 1051, 1962? 138*a**2 - 55*a - 26 What is the r'th term of -5860648, -5860607, -5860542, -5860453? 12*r**2 + 5*r - 5860665 What is the s'th term of 232248, 464132, 696016, 927900, 1159784, 1391668? 231884*s + 364 What is the o'th term of 35658, 143505, 323248, 574887, 898422? 35948*o**2 + 3*o - 293 What is the k'th term of 1309, 1704, 2109, 2530, 2973? k**3 - k**2 + 391*k + 918 What is the s'th term of 8625, 17799, 26987, 36195, 45429? s**3 + s**2 + 9164*s - 541 What is the m'th term of -3124, -12563, -28274, -50245, -78464, -112919? 2*m**3 - 3148*m**2 - 9*m + 31 What is the m'th term of 3070, 24801, 83840, 198841, 388458, 671345, 1066156, 1591545? 3109*m**3 - 32*m - 7 What is the i'th term of 139, -110, -667, -1532? -154*i**2 + 213*i + 80 What is the a'th term of 2029491, 2029505, 2029519, 2029533, 2029547, 2029561? 14*a + 2029477 What is the o'th term of -9340, -9337, -9344, -9373, -9436? -2*o**3 + 7*o**2 - 4*o - 9341 What is the h'th term of -5495, -12913, -20331, -27749? -7418*h + 1923 What is the g'th term of 95024, 190697, 286368, 382037, 477704? -g**2 + 95676*g - 651 What is the z'th term of 9929, 17662, 25401, 33146, 40897, 48654, 56417? 3*z**2 + 7724*z + 2202 What is the s'th term of 357116, 714189, 1071216, 1428197, 1785132, 2142021? -23*s**2 + 357142*s - 3 What is the v'th term of -1534, -1646, -342, 2378? 708*v**2 - 2236*v - 6 What is the c'th term of 167712, 335159, 502606? 167447*c + 265 What is the b'th term of 125202461, 125202463, 125202465, 125202467? 2*b + 125202459 What is the o'th term of -1182, -2593, -3990, -5379, -6766? -o**3 + 13*o**2 - 1443*o + 249 What is the x'th term of -3243, -13285, -30143, -53817, -84307? -3408*x**2 + 182*x - 17 What is the t'th term of 1228512, 2457032, 3685554, 4914078, 6142604? t**2 + 1228517*t - 6 What is the i'th term of -498735903, -498735904, -498735905? -i - 498735902 What is the i'th term of 271, 226, 313, 664, 1411, 2686, 4621? 22*i**3 - 66*i**2 - i + 316 What is the f'th term of 1117, 1340, 1637, 2044, 2597, 3332, 4285, 5492? 6*f**3 + f**2 + 178*f + 932 What is the n'th term of -1615, -2041, -2845, -4021, -5563, -7465, -9721? n**3 - 195*n**2 + 152*n - 1573 What is the k'th term of 646196, 1292348, 1938526, 2584742, 3231008, 3877336, 4523738? 2*k**3 + k**2 + 646135*k + 58 What is the w'th term of -3662, -14701, -33094, -58847, -91966, -132457? -w**3 - 3671*w**2 - 19*w + 29 What is the a'th term of 1183180481, 1183180479, 1183180477, 1183180475? -2*a + 1183180483 What is the r'th term of 914866, 1829719, 2744554, 3659371, 4574170? -9*r**2 + 914880*r - 5 What is the h'th term of 241478, 243899, 246318, 248735? -h**2 + 2424*h + 239055 What is the f'th term of -2258, -2160, -2060, -1958? f**2 + 95*f - 2354 What is the s'th term of 737, 3469, 10889, 25343, 49177, 84737, 134369? 391*s**3 - 2*s**2 + s + 347 What is the t'th term of 1552, 6461, 14742, 26395, 41420? 1686*t**2 - 149*t + 15 What is the j'th term of 3324799, 3324765, 3324731, 3324697, 3324663? -34*j + 3324833 What is the i'th term of -98877, -121216, -158447, -210570, -277585, -359492? -7446*i**2 - i - 91430 What is the c'th term of -29606, -59244, -88888, -118538? -3*c**2 - 29629*c + 26 What is the q'th term of 42674, 85412, 128162, 170918, 213674? -q**3 + 12*q**2 + 42709*q - 46 What is the g'th term of 53442, 53508, 53556, 53580, 53574, 53532? -g**3 - 3*g**2 + 82*g + 53364 What is the k'th term of 56046, 112093, 168128, 224145, 280138, 336101, 392028? -k**3 + 56054*k - 7 What is the j'th term of 104876398, 104876399, 104876400? j + 104876397 What is the d'th term of -2614, -9018, -19688, -34618, -53802, -77234, -104908, -136818? d**3 - 2139*d**2 + 6*d - 482 What is the f'th term of -4914, 369, 9166, 21471, 37278, 56581, 79374, 105651? -f**3 + 1763*f**2 + f - 6677 What is the h'th term of 3033, 5907, 8719, 11469? -31*h**2 + 2967*h + 97 What is the p'th term of 7682, 7821, 7930, 8015, 8082, 8137, 8186, 8235? p**3 - 21*p**2 + 195*p + 7507 What is the m'th term of -1311, -3316, -5321, -7326, -9331? -2005*m + 694 What is the s'th term of -54225, -110118, -165995, -221850, -277677, -333470? s**3 + 2*s**2 - 55906*s + 1678 What is the w'th term of 12398, 24755, 37108, 49457, 61802, 74143, 86480? -2*w**2 + 12363*w + 37 What is the x'th term of -1540, -1664, -1824, -1984, -2108, -2160? 6*x**3 - 54*x**2 - 4*x - 1488 What is the d'th term of 201658, 403344, 605050, 806776, 1008522, 1210288, 1412074? 10*d**2 + 201656*d - 8 What is the z'th term of -4733131, -9466272, -14199419, -18932572? -3*z**2 - 4733132*z + 4 What is the a'th term of -3130665, -3130714, -3130763, -3130812, -3130861? -49*a - 3130616 What is the r'th term of 11474, 18325, 25176, 32027? 6851*r + 4623 What is the r'th term of -18947687, -37895379, -56843073, -75790769, -94738467, -113686167? -r**2 - 18947689*r + 3 What is the q'th term of -216584, -437607, -658620, -879617, -1100592, -1321539? q**3 - q**2 - 221027*q + 4443 What is the r'th term of 85003, 170118, 255233, 340348? 85115*r - 112 What is the c'th term of -689944, -1381425, -2072906, -2764387? -691481*c + 1537 What is the t'th term of -430, -3753, -12772, -30337, -59298, -102505, -162808? -475*t**3 + 2*t**2 - 4*t + 47 What is the y'th term of 1593601, 1593625, 1593667, 1593727, 1593805, 1593901, 1594015? 9*y**2 - 3*y + 1593595 What is the o'th term of -35463, -70902, -106371, -141870? -15*o**2 - 35394*o - 54 What is the c'th term of 2198, 8214, 18064, 31760, 49314? 2*c**3 + 1905*c**2 + 287*c + 4 What is the a'th term of -272524, -545076, -817628, -1090180? -272552*a + 28 What is the m'th term of -121809, -486668, -1094577, -1945536, -3039545, -4376604? -121525*m**2 - 284*m What is the p'th term of -831, -1463, -2031, -2535, -2975? 32*p**2 - 728*p - 135 What is the x'th term of 1464, 3258, 5028, 6774, 8496, 10194? -12
{ "pile_set_name": "DM Mathematics" }
t r(o) = -o**3 + 5*o**2 - o. Give r(6). -42 Let m(j) = j**2 + 24*j + 57. What is m(-21)? -6 Let c(v) = -5*v - 24. Determine c(-5). 1 Let d(z) = z - 45. Calculate d(0). -45 Let x(y) = -11*y - 1. Give x(1). -12 Let a(j) = j**3 + 3*j**2 - j + 3. Give a(-3). 6 Let a(r) = 14*r**2 - 2*r + 2. Give a(1). 14 Let c(d) = d**3 - 5*d**2 - 7*d + 6. What is c(6)? 0 Let c(j) = -j - 16. Give c(-17). 1 Let u(o) = 18*o - 53. Give u(3). 1 Let w(t) = -4*t**2 - 7*t + 1. Give w(-3). -14 Let t(r) = r**2 + 15*r + 45. What is t(-3)? 9 Let d(l) = 10*l - 35. Give d(4). 5 Let z(p) = -16*p - 156. Give z(-9). -12 Let h(y) = y + 3. Calculate h(9). 12 Let i(l) = -l**2 - 9*l + 4. Give i(-10). -6 Let j(k) = -7*k + 13. What is j(6)? -29 Let l(f) = -f**3 - f**2 - f. What is l(-2)? 6 Let c(i) = -i + 19. What is c(-5)? 24 Let c(r) = r**2 - 9*r - 22. Give c(13). 30 Let l(d) = d**3 + 30*d**2 + 81*d + 5. Determine l(-27). 5 Let i(o) = o**2 - o - 2. Determine i(5). 18 Let q(o) = o**2 - o. Determine q(6). 30 Let y(r) = -2*r**2 + 3*r - 6. Give y(0). -6 Let y(t) = -13*t**3 - t**2 + 7*t + 8. What is y(-1)? 13 Let b(p) = -3*p + 11. Give b(6). -7 Let x(v) = -7*v**3 + 51*v**2 - 12*v - 3. Calculate x(7). 11 Let o(a) = -2*a**3 + 126*a**2 + a - 74. Determine o(63). -11 Let b(v) = -9*v + 5. Calculate b(7). -58 Let w(s) = 4*s - 15. What is w(0)? -15 Let c(o) = -o**3 + 15*o**2 - 16*o + 29. Calculate c(14). 1 Let u(x) = -x - 1. Determine u(-5). 4 Let w(j) = 3*j**2 + 6. What is w(2)? 18 Let w(n) = n**3 + 5*n**2 - 3*n - 6. Give w(-4). 22 Let l(c) = -c**2 - 2*c + 40. What is l(6)? -8 Let t(y) = y**2 - 16*y + 56. What is t(7)? -7 Let y(x) = x**2 + 2*x + 6. Calculate y(-6). 30 Let r(j) = j**3 + 5*j**2 + 3*j + 8. Calculate r(-7). -111 Let q(z) = -14*z. Calculate q(-1). 14 Let j(c) = -c**2 + 40*c - 38. Give j(39). 1 Let k(m) = -8*m - 134. What is k(-16)? -6 Let g(y) = -2*y**2 - 19*y + 202. Determine g(-16). -6 Let c(k) = 2*k - 3. What is c(1)? -1 Let u(q) = -65*q**3 - q**2 - 2*q - 2. Give u(-1). 64 Let k(f) = -2*f - 10. Calculate k(-7). 4 Let n(l) = -l**3 - 10*l**2 - 21*l - 21. What is n(-6)? -39 Let g(h) = -h**2 + 19*h - 21. Determine g(18). -3 Let s(l) = -l + 5. Give s(14). -9 Let h(t) = 66*t + 433. Calculate h(-7). -29 Let c(z) = 8*z - 1. Determine c(1). 7 Let i(h) = -2*h + 2. Calculate i(-10). 22 Let w(k) = k**2 - 9*k - 15. Determine w(11). 7 Let a(b) = b**3 - b**2 - 5*b + 5. What is a(3)? 8 Let u(a) = a**2 - 6. Determine u(0). -6 Let v(u) = u**3 + 7*u**2 + 12*u + 2. Determine v(-5). -8 Let w(z) = 7*z - 2. Determine w(6). 40 Let l(r) = -2*r**3 - 2*r**2 + 6*r - 4. What is l(2)? -16 Let i(c) = 82*c + 490. Calculate i(-6). -2 Let k(h) = 2*h**3 - 29*h**2 - 19*h + 66. Determine k(15). 6 Let g(i) = -i**3 + 7*i**2 - 8*i + 10. Determine g(7). -46 Let c(y) = -9*y - 30. Give c(0). -30 Let r(x) = x**2 - x - 1. Determine r(3). 5 Let k(o) = -2*o**2 + o + 7. What is k(3)? -8 Let c(x) = -8*x - 3. Determine c(0). -3 Let y(z) = z**3 - 19*z**2 + 32*z + 42. Determine y(17). 8 Let g(l) = -12*l**2 - 6*l - 7. Determine g(-3). -97 Let x(k) = -k**3 + 9*k**2 - 6*k - 6. Calculate x(8). 10 Let g(l) = -8*l**2 - 21*l + 7. Calculate g(-3). -2 Let g(f) = -f**3 - 38*f**2 - 70*f + 67. What is g(-36)? -5 Let m(b) = b**2 - 8*b - 27. Determine m(11). 6 Let g(s) = s**2 - s - 6. Give g(-5). 24 Let l(m) = 58*m + 2. Determine l(-1). -56 Let f(g) = -8*g**3 - 2*g**2 - 3*g - 2. What is f(-2)? 60 Let a(j) = 4*j + 6. Determine a(-3). -6 Let c(l) = 57*l. Determine c(1). 57 Let p(l) = 3*l**2 - 2*l - 1. Calculate p(-1). 4 Let a(u) = -88*u + 16. Determine a(-2). 192 Let a(c) = c + 15. What is a(-7)? 8 Let q(g) = -39*g + 229. What is q(6)? -5 Let b(j) = -j**2 - 8*j - 1. Determine b(-8). -1 Let g(x) = 4*x + 9. Determine g(3). 21 Let p(n) = -9*n - 1. What is p(4)? -37 Let m(l) = l**3 + 7*l**2 - 11*l. Determine m(-8). 24 Let i(s) = s**3 + 5*s**2 - s - 7. Determine i(-5). -2 Let x(m) = 80*m + 154. Calculate x(-2). -6 Let y(g) = 2*g**2 + 15*g + 19. Determine y(-6). 1 Let k(h) = -6*h - 84. What is k(-14)? 0 Let i(n) = -n**3 - 17*n**2 + 23*n + 96. Determine i(-18). 6 Let c(d) = -4*d**3 + 3*d + 2. Give c(-2). 28 Let w(n) = 5*n**3 - 2*n**2 + 12*n - 12. Give w(1). 3 Let i(d) = -3*d - 35. Determine i(12). -71 Let k(q) = 2*q**3 + 47*q**2 - 73*q + 59. Determine k(-25). 9 Let v(j) = -25*j**3 + j**2 - 1. Determine v(-1). 25 Let c(d) = d**3 + 69*d**2 - 3*d - 202. What is c(-69)? 5 Let o(k) = k**2 - 7*k - 10. Calculate o(9). 8 Let o(h) = -h**2 - 12*h - 33. What is o(-8)? -1 Let q(g) = -2*g**2 + 6*g. Determine q(3). 0 Let o(l) = l**3 - 6*l**2 + 6*l - 15. Calculate o(5). -10 Let n(k) = k**3 + 5*k**2 - 8*k - 7. What is n(-6)? 5 Let g(t) = -2*t**2 - 3*t + 9. Determine g(-7). -68 Let m(u) = -12*u - 52. Determine m(-5). 8 Let k(v) = v**3 + 24*v**2 + 43*v - 15. Calculate k(-22). 7 Let d(f) = f**2 - 18*f - 4. What is d(19)? 15 Let p(u) = 2*u - 7. Calculate p(-1). -9 Let u(s) = 9*s - 238. Calculate u(26). -4 Let b(t) = -4*t**2 + 23*t - 5. What is b(5)? 10 Let o(g) = g**2 + 5*g + 3. What is o(-4)? -1 Let n(x) = 4*x**2 - 3*x. Determine n(2). 10 Let i(k) = 20*k - 1. Determine i(-3). -61 Let z(q) = 4*q**2 - q - 2. Give z(-2). 16 Let a(i) = -i**3 - 9*i**2 - 3*i - 19. What is a(-9)? 8 Let w(d) = -2*d**2 + 42*d - 33. Determine w(20). 7 Let i(l) = -14*l + 3. Determine i(-1). 17 Let o(t) = -92*t + 262. What is o(3)? -14 Let j(h) = -h**2 - 7*h - 13. Give j(-4). -1 Let y(s) = -s**3 + 24*s**2 - 42*s - 42. Calculate y(22). 2 Let v(n) = 3*n**2 - 12*n + 5. Give v(4). 5 Let k(l) = l - 4. What is k(9)? 5 Let h(v) = -9*v + 259. Calculate h(32). -29 Let c(n) = -5*n + 9. Determine c(4). -11 Let p(i) = i**3 + 5*i**2 - 3*i - 5. Calculate p(-5). 10 Let m(r) = -4*r + 36. Determine m(17). -32 Let f(u) = -u**3 + 3*u**2 + 8*u + 10. Calculate f(5). 0 Let t(k) = 2*k**2 + 33*k + 25. Give t(-12). -83 Let y(c) = -3*c - 93. Give y(-32). 3 Let a(v) = -13*v + 268. Give a(17). 47 Let k(j) = 2*j + 2. What is k(1)? 4 Let a(z) = z + 49. Calculate a(-14). 35 Let h(j) = 6*j**3 + j**2 + 3*j + 3. What is h(-1)? -5 Let m(o) = o + 14. Calculate m(-12). 2 Let v(g) = g**3 - 5*g**2 + 4*g - 6. Calculate v(5). 14 Let i(x) = -x**3 - 7*x**2 + 4*x + 15. Determine i(-8). 47 Let t(h) = -2*h**2 - 3*h - 4. Calculate t(3). -31 Let o(u) = 5*u + 17. Give o(-6). -13 Let w(z) = z**2 - 8*z + 10. Determine w(8). 10 Let z(o) = -5*o + 33. Give z(6). 3 Let j(x) = -x**3 + 9*x**2 + 45*x - 99. Calculate j(12). 9 Let f(c) = -10*c**2 + 13*c - 11. Give f(1). -8 Let n(j) = -3*j**2 - 8*j - 5. What is n(-2)? -1 Let q(x) = x**2 + 3*x + 9. Give q(-4). 13 Let k(n) = n**2 + 15*n + 30. What is k(-12)? -6 Let y(c) = -4*c - 138. Determine y(-34). -2 Let x(w) = 10*w - 64. Give x(7). 6 Let a(l) = -l**2 + 25*l - 85. Determine a(5). 15 Let h(y) = -y**3 - 18*y**2 - 16*y + 7. What is h(-17)? -10 Let r(j) = j**2 + 17*j + 18. Determine r(-18). 36 Let s(c) = 2*c**2 + 10*c + 1. What is s(-5)? 1 Let c(f) = 2*f**2 - 13*f + 5. What is c(6)? -1 Let g(h) = h**2 + 2*h + 1. Determine g(-3). 4 Let o(q) = -31*q + 14. Determine o(3). -79 Let z(g) = -41*g**2 - 2*g - 1. What is z(-1)? -40 Let d(j) = -2*j**3 - 27*j**2 - 9*j + 42. Calculate d(-13). -10 Let q(w) = 10*w + 1. Determine q(3). 31 Let d(f) = 29*f + 28. Give d(8). 260 Let t(k) = -k**3 - 26*k**2 - 50*k - 47. Calculate t(-24). 1 Let x(s) = -s**3 + 6*s**2 + 9*s - 5. Calculate x(7). 9 Let p(s) = -2*s - 9. What is p(0)? -9 Let j(b) = -11*b - 2. Give j(-6). 64 Let c(p) = -3*p + 2. What is c(-9)? 29 Let r(w) = w - 11. Calculate r(-9). -20 Let a(h) = h**3 + 7*h**2 + 9*h + 12. Calculate a(-6). -6 Let p(i) = i**3 - 8*i**2 + 95*i - 620. Calculate p(7). -4 Let f(l) = -8*l**2 - 3*l + 1. What is f(-3)? -62 Let h(z) = 2*z**2 - z - 2. Give h(3). 13 Let x(z) = 6*z - 52. Determine x(12). 20 Let q(z) = 17*z + 61. Give q(-4). -7 Let p(n) = n**3 - 15*n**2 + 14*n + 4. Determine p(14). 4 Let z(b) = -b**3 - 5*b**2 + 44*b + 94. Give z(-2). -6 Let z(w) = -w + 17. What is z(19)? -2 Let k(c) = c**2 + 42*c - 42. Determine k(1). 1 Let g(d) = -d - 2. What is g(-7)? 5 Let q(u) = -2*u + 5. Give q(0). 5 Let q(a) = -9*a - 80. Determine q(-7). -17 Let o(p) = -p + 8. Give o(13). -5 Let h(b) = b**2 + 7*b - 174. Calculate h(10). -4 Let v(f) = f + 11. Calculate v(7). 18 Let s(t) = t**2 + 21*t + 54. Calculate s(-20). 34 Let d(f) = -17*f + 2. Determine d(2).
{ "pile_set_name": "DM Mathematics" }
8 = 3*i. Calculate the remainder when i is divided by 11. 8 Suppose -u - 2*s + 7 = 0, -s - 25 = -3*u - 5*s. What is the remainder when (8 - (5 - 13)) + (0 - -5) is divided by u? 10 Calculate the remainder when 203 is divided by (-796)/(-8) + -4*5/(-40). 3 Let u be 3/2*20/6. Let z(l) = 3*l - 12. Calculate the remainder when 19 is divided by z(u). 1 Let t be (-1050)/(-4) + 3/2. Suppose -2*d - t = -5*d. Suppose -2*r + d = 2*r. Calculate the remainder when r is divided by 12. 10 Suppose -2*l + 40 = 3*l. Suppose -l - 20 = -4*g. Let n(v) = v**2 - 21*v + 23. What is the remainder when g is divided by n(20)? 1 Suppose -12*q = -32*q + 2080. What is the remainder when q is divided by 15? 14 Suppose -9*t + 48 + 1338 = 0. Suppose -2*s + 32 = -t. Calculate the remainder when s is divided by 24. 21 Let x(o) = 11*o**2 - 18*o - 66. What is the remainder when x(-3) is divided by 1/(1/12) - 2? 7 Let y(v) = -v + 26. Let w(s) = s**3 + 7*s**2 + 5*s - 6. Let t be w(-6). Let a = 6 - -3. Calculate the remainder when y(t) is divided by a. 8 Suppose 0 = -5*p + 4*c + 260, -2*p = 2*p + 5*c - 208. Suppose -5*h - 19 = 1, 2*w - p = -h. What is the remainder when (w/14)/((-1)/(-11)) is divided by 12? 10 Let x be (-125)/(-20) - 3/(-4). Let c(r) = -2 - 12*r + 4 + x + 9*r. Calculate the remainder when c(-6) is divided by 14. 13 Let w = 52 - 72. What is the remainder when 2/(-10) + (-424)/w is divided by 12? 9 Let o(f) = f**3 - 16*f**2 + 17*f + 28. What is the remainder when 179 is divided by o(15)? 5 Let x = 23 + 24. What is the remainder when x is divided by ((-20)/6)/((-14)/105)? 22 Let i(d) = 2*d - 8. Let h(g) = -g - 1. Let j(c) = -3*h(c) - i(c). Let z be j(-7). Let f(b) = 4*b**2 + 5*b + 3. What is the remainder when f(z) is divided by 30? 27 Let q = 100 - 50. Suppose -4*f + q + 54 = 0. Let h = 10 - -5. What is the remainder when f is divided by h? 11 Let k = 452 - 381. Calculate the remainder when 564 is divided by k. 67 Let w(r) = -14*r + 234. Calculate the remainder when w(13) is divided by 21. 10 Let q(p) = -2*p + 14. What is the remainder when 96 is divided by q(-8)? 6 Calculate the remainder when 232 is divided by -3*(26/(-8))/(1/4). 37 Let y(s) = s**2 - 13*s - 171. What is the remainder when y(-9) is divided by 7? 6 Suppose -5*z + 27 = -4*l, -4*l - 3*z = -0*l + 3. Suppose 3*x - 9 = -g, -2*x + 6*x - 22 = -2*g. What is the remainder when (-40 - 3)/(2 + l) is divided by g? 13 Suppose -5*k - 2*z = -381, z = k - 60 - 19. Let y = 47 + -27. What is the remainder when k is divided by y? 17 Suppose -x = 5*k - 6*x - 3810, 0 = -4*k - 3*x + 3062. What is the remainder when k is divided by 153? 152 Suppose -2*c + 557 = o - 196, 2*c - 2*o - 768 = 0. Calculate the remainder when c is divided by 115. 34 Let g(h) = 2*h**2 + 57*h + 65. Let a = 15 + -10. Suppose 2*k = -4, -28 = -s - k + a*k. What is the remainder when g(-28) is divided by s? 17 Let d be 6/(-2) + (0 - -2). What is the remainder when 42 is divided by d/3 + (-28)/(-3)? 6 Let u(k) = -3*k - 26. Let z be u(-8). Suppose 3*p = 5*v - 0*p - 373, 3*v = -p + 221. What is the remainder when v is divided by ((-1 - 0)*z)/(2/19)? 17 Suppose 108 = 3*i - 13*y + 10*y, -2*i = -5*y - 57. Calculate the remainder when 75 is divided by i. 34 Suppose p = 4*z - 19 + 5, 0 = p + 5*z - 22. Suppose -3*j - 5*l = -p*l - 36, 5*j - 2*l - 39 = 0. What is the remainder when j is divided by 3? 0 Let v(h) = h - 11. Let y(q) = -q + 1. Let z(a) = -v(a) + y(a). Calculate the remainder when z(-9) is divided by 9. 3 Calculate the remainder when 918 is divided by -10*6/(-30) + 38. 38 Let t = 29 + -15. Calculate the remainder when 446/8 + (-3)/4 is divided by (0/3 + 1)*t. 13 Let o be (160/15)/(1/(-33)). Let h be o/7 - 22/(-77). Let y = h + 107. What is the remainder when y is divided by 15? 12 Let g = 35 - 30. Suppose -5*s + 3 = -2*d, -4*d - g*s + 33 = -6. Calculate the remainder when d is divided by 1/4*2*4. 0 Let k = -336 + 359. Calculate the remainder when k is divided by 17. 6 What is the remainder when (-1)/(3/(-21) + 342/2541) is divided by 36? 13 Suppose -a + 11 = r, 3*a - 25 = -0*r - r. Suppose a*y + 0*y - 63 = 0. What is the remainder when 2 - (-1 + (-2 - 28)) is divided by y? 6 Let v(f) = -32*f + 1. Let q be (3*(-2)/(-3))/(-2). What is the remainder when v(q) is divided by 7? 5 Let f(x) = -x**3 + 7*x**2 + 7*x - 12. Calculate the remainder when 109 is divided by f(7). 35 Suppose 3*y = 5*a + 78, 32 = 2*y - 3*a - 20. What is the remainder when 178 is divided by y? 22 Suppose -9*q + 895 = -113. Calculate the remainder when q is divided by 38. 36 Let y(d) = -13*d + 11. Let j be 30/(-2)*36/90. What is the remainder when y(j) is divided by 5? 4 Let v(u) = -u**3 + 12*u**2 + 30*u - 13. Calculate the remainder when 296 is divided by v(14). 11 Suppose 5*j + 2*f = 410, -4*f - 143 = 4*j - 483. What is the remainder when 257/4 - 20/j is divided by 14? 8 Suppose -2*b - 2*b + 168 = 3*v, v = 4*b + 72. Suppose 11*x + v = 14*x. Calculate the remainder when 78 is divided by x. 18 What is the remainder when (3 - -29)*21/48*4 is divided by 55? 1 What is the remainder when (-14328)/(-54)*(-6)/(-8) is divided by 25? 24 Suppose -5*k = 19 - 29. Calculate the remainder when 27 is divided by k. 1 Suppose -2*t + 6*t - 80 = -4*m, 3*m = -5*t + 52. Suppose 10*w = 15*w - 475. Calculate the remainder when w is divided by m. 23 Let r(s) = 2*s + 6*s - 5 - s**2 + 7*s**2 - 11*s + s**3. What is the remainder when 49 is divided by r(-6)? 10 Let n = -56 - -102. Suppose 3*v + 61 = 2*q, 0*q + 2*v = -2*q + n. What is the remainder when q is divided by 10? 6 What is the remainder when 8/20 + 388/5 is divided by 36? 6 Suppose -n + 32 = n. Let m be 1 + 1 + 0 - 38. Let v = m - -67. What is the remainder when v is divided by n? 15 Let d(u) = -u**2 - 18*u + 3. Let a be d(-18). Let f = -39 - -107. Calculate the remainder when f is divided by (a/(-6)*23)/(4/(-8)). 22 Let p = 347 - 331. Suppose -2*w + 6 = k, -2*w = -2*k - 0*w + 24. What is the remainder when p is divided by k? 6 Suppose -10*f - 110 = -s - 13*f, 3*s - 342 = -5*f. Calculate the remainder when 370 is divided by s. 13 Suppose -6*l + 1462 = -404. Calculate the remainder when l is divided by 26. 25 Let z = 644 - 624. What is the remainder when z is divided by 4? 0 Let j(z) = -4*z - 3. Let n = 67 + -64. What is the remainder when j(-3) is divided by 7 - (-1 + 4)/n? 3 Let h be (-40)/(-7) - 4/(-14). Suppose -2*c - c + h = 0. Suppose -c*s - 2*s = -184. Calculate the remainder when s is divided by 16. 14 Suppose -2*h + 8 = 4*b, 4*h - 3*b + 0*b = 16. Suppose -5*s + 5 = 0, h*s = 3*l + 3*s - 56. What is the remainder when l is divided by 5? 4 Let u be (-3)/(-1)*4/(-4). What is the remainder when 59 is divided by -12*(u + (-6)/(-4))/3? 5 Suppose 16*j - 7*j = -126. What is the remainder when 36 is divided by 180/(-42)*j/4? 6 Let t = -184 + 1531. Calculate the remainder when t is divided by 30. 27 What is the remainder when 117 is divided by 9/5*15 - -7? 15 Let n(d) be the second derivative of d**4/12 + d**3/3 - 9*d**2/2 + 5*d. What is the remainder when n(-12) is divided by 19? 16 Suppose 0 = 2*q + q - 159. Let v = -11 - 1. Let l = 30 + v. Calculate the remainder when q is divided by l. 17 Let b(h) = -52*h**3 - 3*h**2 + 2. What is the remainder when b(-1) is divided by 6? 3 Let h(n) = 48*n + 2. Let y = -23 + 25. Suppose q + 3*q + y*g - 10 = 0, -4*q + 19 = 5*g. What is the remainder when h(q) is divided by 17? 16 Let b(f) = -f**2 + 21*f - 20. Let p be b(20). Suppose -n = p, -3*k + 2*k + 6 = 3*n. Suppose 0*h - 156 = -k*h. What is the remainder when h is divided by 7? 5 Let l(r) = r**3 - r**2 - 1. Let w be l(1). Suppose 0 = -2*a + 7*a - 60. What is the remainder when 38 + 1*(-2 + w) is divided by a? 11 Let c(m) = m**3 + 17*m**2 + 24*m - 6. Calculate the remainder when c(-15) is divided by 30. 24 Suppose -842*n + 220 = -832*n. Calculate the remainder when 229 is divided by n. 9 Suppose 0 = 4*i - 3*p - 1831, -3*i - p + 718 = -665. Calculate the remainder when i is divided by 44. 20 Let f(b) = b**3 - 7*b**2 - 6*b - 1. Suppose i - 16 = -8. What is the remainder when 35 is divided by f(i)? 5 Suppose 31 = -b - c, 4*c - 79 = 3*b + 21. Let z = -14 - b. Let x(g) = -23*g - 2134. What is the remainder when x(-95) is divided by z? 15 Suppose -5*m + 64 - 14 = 0. Sup
{ "pile_set_name": "DM Mathematics" }
70 Calculate the common denominator of -107/2166 and 55/17328. 17328 Find the common denominator of 67/2275 and -26/485. 220675 Calculate the least common multiple of 6 and 610. 1830 Calculate the lowest common multiple of 285354 and 1284093. 2568186 What is the common denominator of -95/3396 and 46/4245? 16980 What is the common denominator of 87/4 and 145/248856? 248856 Find the common denominator of -145/282 and -59/10026. 471222 Find the common denominator of 9/86 and -7/1091168. 1091168 Calculate the least common multiple of 386974 and 552820. 3869740 What is the common denominator of 49/100 and 37/286790? 2867900 Calculate the lowest common multiple of 1121150 and 672690. 3363450 Find the common denominator of -79/33741 and -70/1045971. 1045971 Find the common denominator of -103/134800 and -119/100. 134800 What is the common denominator of -83/836208 and -55/92912? 836208 Calculate the least common multiple of 1482 and 270978. 3522714 What is the smallest common multiple of 32616 and 12? 32616 Calculate the least common multiple of 8944 and 832. 35776 Calculate the least common multiple of 325 and 23925. 311025 Calculate the lowest common multiple of 14536 and 790. 72680 What is the least common multiple of 18 and 1088068? 9792612 Find the common denominator of 109/265408 and 9/68. 4511936 Calculate the least common multiple of 36000 and 12375. 396000 What is the common denominator of 41/116234 and -31/6? 348702 Calculate the common denominator of 49/258 and 49/2666. 7998 Calculate the common denominator of 83/8042 and -23/284. 1141964 What is the lowest common multiple of 1073 and 3182? 92278 Calculate the lowest common multiple of 208 and 4160. 4160 What is the common denominator of -1/33 and -2/179601? 1975611 Calculate the smallest common multiple of 1416 and 96. 5664 Calculate the common denominator of -73/58 and 39/142796. 142796 Calculate the common denominator of 29/902 and 73/1640. 18040 Find the common denominator of -3/35 and -7/118215. 827505 Find the common denominator of -31/1320 and 39/400. 13200 Calculate the common denominator of -121/30 and -53/5270. 15810 Find the common denominator of 197/36300 and 17/1320. 72600 Calculate the least common multiple of 17066 and 28. 34132 Find the common denominator of 107/1524726 and -23/338828. 3049452 Find the common denominator of -11/85740 and -67/24. 171480 Calculate the common denominator of -25/174 and 121/348. 348 Find the common denominator of -113/100 and 53/103820. 519100 Find the common denominator of -29/218666 and -26/63. 1967994 Calculate the smallest common multiple of 15651 and 222. 31302 Calculate the lowest common multiple of 115947 and 81. 1043523 Calculate the common denominator of -58/149937 and 47/149937. 149937 Calculate the common denominator of -97/12880 and 107/60. 38640 Calculate the smallest common multiple of 33228 and 33. 365508 Calculate the lowest common multiple of 546 and 21970. 461370 What is the smallest common multiple of 118333 and 8? 946664 Find the common denominator of -83/904 and 29/152. 17176 Calculate the smallest common multiple of 1560 and 2717. 326040 What is the lowest common multiple of 154 and 31636? 221452 Find the common denominator of -151/36 and 77/660003. 7920036 What is the common denominator of 41/128 and -37/4592? 36736 What is the common denominator of 17/44227 and -40/10351? 486497 Find the common denominator of 41/78600 and 127/26200. 78600 What is the common denominator of 83/1782 and 101/8? 7128 What is the lowest common multiple of 45 and 19557? 97785 Calculate the common denominator of -125/12 and 53/38109. 152436 Calculate the common denominator of 32/127251 and 73/342. 4835538 What is the common denominator of 29/7896 and 97/705? 39480 What is the lowest common multiple of 22242 and 66? 22242 What is the smallest common multiple of 2610 and 580? 5220 Calculate the lowest common multiple of 3520 and 277728. 2777280 Calculate the common denominator of 49/388 and -25/3492. 3492 Calculate the common denominator of -41/269487 and 56/4131. 4581279 What is the smallest common multiple of 12 and 1237574? 7425444 Calculate the least common multiple of 181712 and 7216. 1998832 Calculate the common denominator of -28/83 and -16/10209. 10209 Calculate the common denominator of 67/1318 and -61/22406. 22406 Calculate the common denominator of 131/106860 and 1/2466. 320580 Calculate the common denominator of 41/48664 and -27/112. 97328 What is the smallest common multiple of 23140 and 12727? 254540 What is the smallest common multiple of 637 and 637? 637 Calculate the common denominator of 43/8 and -65/743372. 1486744 Calculate the common denominator of -59/339 and 47/226. 678 Calculate the common denominator of 55/6794 and 61/774. 61146 Calculate the common denominator of 103/105094 and 73/76432. 840752 What is the common denominator of 109/22 and -13/39174? 430914 Calculate the common denominator of -23/79866 and 98/199665. 399330 Find the common denominator of 23/3168 and 13/223. 706464 Find the common denominator of -61/295 and -49/170510. 170510 What is the lowest common multiple of 4 and 50680? 50680 Calculate the least common multiple of 32692 and 4458. 98076 Calculate the least common multiple of 115 and 441. 50715 Calculate the least common multiple of 18 and 17044. 153396 What is the common denominator of -111/44260 and 21/4? 44260 Calculate the common denominator of 3/8113 and 149/431148. 3018036 Calculate the lowest common multiple of 7279 and 2008. 58232 Find the common denominator of 25/39576 and 103/1110. 7321560 Calculate the lowest common multiple of 78 and 6174. 80262 What is the common denominator of -111/180170 and -99/180170? 180170 Calculate the least common multiple of 3306 and 5548. 482676 What is the least common multiple of 12 and 358974? 717948 Find the common denominator of 8/24861 and 43/3. 24861 Calculate the lowest common multiple of 65352 and 79356. 1110984 Find the common denominator of -3/20860 and 57/45892. 229460 What is the least common multiple of 71938 and 791318? 791318 What is the smallest common multiple of 53045 and 515? 53045 What is the common denominator of -107/158340 and -2/3045? 158340 Calculate the common denominator of -45/8 and 73/5740. 11480 Find the common denominator of 17/980 and 73/360. 17640 What is the common denominator of 37/1623 and 113/77904? 77904 Calculate the smallest common multiple of 104 and 3913. 31304 Calculate the least common multiple of 2264 and 3113. 24904 Find the common denominator of -1/467148 and -59/120. 4671480 Calculate the common denominator of -27/5696 and -69/448. 39872 What is the common denominator of -12/341 and -29/317688? 3494568 Calculate the common denominator of -155/27594 and 173/122640. 1103760 Calculate the smallest common multiple of 149234 and 61752. 1790808 Calculate the common denominator of -61/1518 and -83/9890. 326370 What is the lowest common multiple of 87483 and 1701942? 18721362 What is the least common multiple of 851742 and 216? 3406968 Calculate the lowest common multiple of 1970 and 48. 47280 Calculate the common denominator of -99/17894 and -22/345. 268410 Calculate the least common multiple of 256 and 32. 256 Calculate the smallest common multiple of 35178 and 22386. 246246 Calculate the lowest common multiple of 98883 and 30. 988830 What is the common denominator of 103/36504 and 101/594? 401544 What is the common denominator of -13/1296 and -5/24? 1296 What is the common denominator of 37/516450 and -83/165? 516450 What is the common denominator of -47/66 and -131/54396? 598356 Calculate the smallest common multiple of 466 and 122325. 244650 Calculate the lowest common multiple of 2448 and 216. 7344 What is the smallest common multiple of 141219 and 313820? 2824380 What is the lowest common multiple of 13632 and 7? 95424 Calculate the least common multiple of 13900 and 16680. 83400 Find the common denominator of 24/1675 and 22/335. 1675 Calculate the common denominator of 71/64292 and -79/819723. 3278892 Calculate the common denominator of 53/368 and -55/7268. 29072 What is the lowest common multiple of 72608 and 36304? 72608 Calculate the least common multiple of 222184 and 160. 4443680 Calculate the smallest com
{ "pile_set_name": "DM Mathematics" }
e in h, n, -19, c? -19 Let j = 0.195 - -0.805. Let r = -13.4 + 12.8. Which is the fourth smallest value? (a) j (b) 0.28 (c) r (d) 2 d Let f be (-28)/6*19/(-1064)*(-224)/14. Let w = -0.3 - -0.6. What is the fourth smallest value in -0.5, w, 11, f? 11 Let k = 0.3 + -0.4. Let m be -1 - (-65)/(-9) - (-86)/387. What is the biggest value in m, -0.7, k? k Let l = 0.21558 - 0.31558. What is the third biggest value in -42, -0.4, 5, 1/16, l? l Let v = 88.7 - 89.32. Which is the fourth biggest value? (a) -5 (b) 1/2 (c) v (d) 0.4 a Let y = -1.9582 - 0.0418. What is the smallest value in 12, -1/5, y? y Let l = 77.13 - -0.87. Let t = l - 80. Suppose 0*f + f = 1. Which is the second biggest value? (a) t (b) f (c) -2/5 c Let j be ((-4)/14)/(9/(-42)). Let h = j - 1. Suppose 5*d + 16 = 3*o, -2*o + 2*d + 4 = -0. What is the fourth smallest value in o, -2/5, -0.5, h? h Let p = -284.385 - -284.625. Let i = -0.2 - 0. What is the second smallest value in p, 2, 5, i? p Let n(r) = r**2 - 8*r - 3. Let k be n(5). Suppose p = h - 17, 53*h + 8 = 52*h - 4*p. Let x be 4/k*h/8. What is the biggest value in x, -0.1, 2.4? 2.4 Let w = -1.98 + -0.02. Let c = -63219 + 63216. What is the smallest value in 1.3, c, w? c Let b = -611.2 + 611. What is the biggest value in -0.4, b, -0.01, -1/11, 0.1? 0.1 Let f be (387/2838)/(((-4)/6)/((-48)/(-54))). What is the third biggest value in 12/7, -0.4, f, -1, -0.3? -0.3 Let l = -1259 - -1261. What is the third smallest value in -1.7, -0.5, -2/9, l, -0.05? -2/9 Let q = 0.080196 - -0.119804. Let y = -21.82 + 22. Let s = 8.82 + y. Which is the third biggest value? (a) 0.4 (b) s (c) q c Let z be 20/12 - ((-42)/(-273) + 434/390). What is the fourth smallest value in z, 5/11, 0.11, -0.1, -0.3? z Let i = 391/150 + -857/300. Let l = -3.5 + 3.09. Which is the third smallest value? (a) 3 (b) l (c) i a Let h = -22.79 - -14.19. Let o = -544 + 535.54. Let g = h - o. What is the third smallest value in g, -1, 2? 2 Let k = -62.452 + 62.5. What is the third smallest value in k, 6, 2? 6 Let z = 1.83 - -0.17. Suppose -5*k - 5*p = 80, 2*k - 6*p + 25 = -p. Let h be k/156 - 8/52. What is the second smallest value in z, h, 3/4? 3/4 Let l = 0.045 - 0.113. Let v = 0.582 - l. Let r = -0.35 + v. Which is the second biggest value? (a) r (b) 16/5 (c) 4 (d) -2 b Let i be ((-279)/124 + 14/4)/((-1)/(-4)). Let y(w) = w**3 + 7*w**2. Let d be y(-7). Which is the third smallest value? (a) 1/22 (b) d (c) i c Let r = -11016 - -11016. What is the biggest value in 4, -1, r, 5, -2? 5 Let s be 4/(16/6) - 2. Let m = 45765.5 + -45768. Which is the third biggest value? (a) 3 (b) -0.01 (c) m (d) s d Let q = 0.3523 + -2.9713. Let t = 0.029 + q. Let d = t + 0.59. Which is the third smallest value? (a) -3 (b) 3/5 (c) d b Suppose 4*h + x = 36, -5*x + 9 = 2*h - h. Let v = h - 12. Let d = 33 - 162/5. Which is the biggest value? (a) d (b) v (c) 0.06 a Let s = 0.05209 - 0.06209. Which is the biggest value? (a) 2 (b) -1 (c) s (d) -3 a Suppose -4353*s - 17 = -4336*s. Let h be ((-12)/2)/(-3 - -2). Which is the third biggest value? (a) -0.4 (b) s (c) h b Let k = 27.56 - 28.8. Let l = k + 1.24. What is the smallest value in 0.7, 2/9, l, 1? l Let s = 346 - 346.113. Let k = 3.113 + s. Which is the second smallest value? (a) 1/4 (b) 0.5 (c) k (d) 4 b Let n = -55/36 - 5/36. Let s = -183 + 184.11. Let h = 1.01 - s. Which is the second smallest value? (a) 2 (b) n (c) -2 (d) h b Let l = 19 - 18. Let u be l - ((-80)/(-36) + -1). Let m = 658/741 + -12/13. Which is the second biggest value? (a) u (b) -5 (c) m a Let z = -5/499 + -1981/1497. What is the fifth biggest value in 4/5, z, -1, 1/4, 3? z Let v be 6/4*-1*2/9. Let w be 6 - (-9 + (8645/42)/13). What is the third biggest value in w, -5, v, -1? -1 Let q be (-8 + 9 + -30)*80/72. What is the second biggest value in q, -1/8, 1? -1/8 Let o = 109 + -109.097. Let d = 1659 - 1659.057. Let n = d - o. Which is the smallest value? (a) 1/3 (b) 2 (c) n c Let j = -7/2 + 2. Let c = 202.11 + -204. Let b = c + 1.89. What is the smallest value in j, -2/7, b, 2/11? j Let v = -1177.51 - -1172.51. Let k = -11 - -16. Suppose 5*j = -k*c + 5, -3*c = -2*c - 2*j + 14. What is the third smallest value in -0.1, v, c? -0.1 Let s = 0.2 - 0.3. Let j = -137.88 + 0.88. Let l = j - -141. Which is the third biggest value? (a) s (b) -5 (c) l (d) -3 d Let h = 2.177 - 0.177. Let i = -0.4 + -0.1. Let f = -4.872 - -2.872. Which is the fourth biggest value? (a) h (b) f (c) 0.2 (d) i b Let q = 6.03 - 0.03. Let l = q - 3. Let v = 53641.6 + -53644.6. What is the third smallest value in v, l, 2, 8? l Let f(b) = -b**2 + 6*b + 8. Let t be f(7). Let g = -89143 + 89151. What is the second smallest value in g, t, 0.3? t Let l = -4170 + 4170.1. What is the second biggest value in -191/5, l, 0.2? l Let s = 2498.8 - 2495.8. Let l = 2 - 2.2. What is the second smallest value in l, 0.04, 0.1, s? 0.04 Let r = 2951.2 - 2937.2. Which is the third smallest value? (a) 3/2 (b) r (c) 1 (d) 0.24 a Let r(m) = m**3 - 8*m**2 + m - 2. Let u be r(8). Let j be -1 - (2024/20 - 4). Let o = 99 + j. What is the second smallest value in -3, -4, o, u? -3 Suppose 4*v = -v - 130. Let q = 37447.8 + -37448. Which is the second biggest value? (a) -0.4 (b) 1/5 (c) q (d) v c Let z = 1546/17853 - -7/1623. Which is the third biggest value? (a) z (b) -2.18 (c) 5 b Let i = 4070 + -4069.8. What is the second smallest value in -3, i, 2/2501? 2/2501 Let x = 22.052 - 22.3. Let v = x - -0.248. Let y = 2 - 1.6. Which is the smallest value? (a) -0.5 (b) 0.1 (c) y (d) v a Let m = 3 - 11/3. Let c = -40 - -40. What is the third biggest value in c, 2, -4, m? m Let l be 46/8 - (-6)/24. Let x be 120/(-126) - (-4)/l. Let h = -2.73 - 0.27. What is the third smallest value in -6, x, 0.4, h? x Let q = -308 + 394. Let b = 0.121 - -104.879. Let f = b - q. What is the fourth smallest value in 0, f, -2/9, 1? f Let r = 1292 - 1283. Let v = 191/2 - 98. Let s = 1.97 - -0.03. Which is the smallest value? (a) v (b) r (c) s a Let s = 4211 - 4249. Let z = 62 + -62.4. Which is the biggest value? (a) 0.3 (b) s (c) z a Let n = 0.2 + -3.2. Let y = n + 3. Let d be (-4)/(-44)*(4 - 2). What is the fourth biggest value in d, -2/5, y, -10/7? -10/7 Let q = -16823/3 + 16825/3. What is the third smallest value in q, -0.5, -0.2, -223? -0.2 Let h = -0.54 - -0.04. Let q = -23849 - -23849.3. Which is the third biggest value? (a) q (b) 0.4 (c) 27 (d) h a Let s = 361/3 - 119. Let k = -288.2 + 288. Which is the biggest value? (a) k (b) 0.3 (c) s (d) 2/11 c Let u(m) = -127*m + 4066. Let x be u(32). Which is the third biggest value? (a) -5 (b) -0.1 (c) 23 (d) x b Let k = -400 + 403. Let y be (-11 - -5 - -5)*k. What is the biggest value in -1/2, y, 11? 11 Let k = 163802 + -163802.05. Let o = 0.3 + -0.1. Which is the fourth biggest value? (a) -2 (b) k (c) -1/4 (d) o a Let w = -0.1 - 0.4. Let m = -143358 + 430072/3. Let z = 5.2 - 5. Which is the second biggest value? (a) w (b) -1 (c) z (d) m a Let m = -93315 + 93315.3. Let n = -0.1 + 0. What is the third smallest value in -0.5, m, -1/61, n? -1/61 Suppose 15*r - 8 = 37. Suppose -t = r*y - 2*t - 2, t - 2 = y. Which is the fourth smallest value? (a) -1/3 (b) y (c) 5 (d) 4 c Let w = 38 + 16. Let q be ((-1)/w)/((-10)/(-155)). Let o = q - -1/27. Which is the second smallest value? (a) o (b) 4 (c) -1 (d) -3 c Let o = 47398.13 + -47398. What is the third smallest value in 81, 5, o? 81 Let f be 704/40*(-17)/68. Which is the second smallest value? (a) -5 (b) f (c) 6 b Let n = 2.71 + 127.29. Let b = -125 + n. What is the third biggest value in 1, 0.06, 0.4, b? 0.4 Let j = 25 - 24. Let f = 1287.96 - 1288. Which is the third biggest value? (a) -1 (b) j (c) f (d) -2/11 d Let f = -2289.2 - -2320.2. Which is the third biggest value? (a) -2/13 (b) f (c) 12 a Let l = -4238 - -4211. What is the fourth smallest value in -0.2, 4, -10, l? 4 Let i = 3.2019 - 0.2019. What is the second biggest value in -4, i, -50? -4 Let u = 9.301 + -14.301. Suppose -5*v = -0 + 10. Which is the biggest value? (a) u (b) v (c) -3 b Let f(v) = -15*v - 133. Let p be f(-12). Suppose 2*m - q = 7*m + p, -4*q + 22 = -m. Which is the fourth biggest value? (a) -
{ "pile_set_name": "DM Mathematics" }
Let a(o) be the third derivative of r(o). Find the first derivative of a(m) wrt m. 6*m**2 Let a(j) be the third derivative of j**8/42 - 31*j**4/24 + 2*j**2 + 15. What is the second derivative of a(n) wrt n? 160*n**3 Suppose 0 = -4*c - 5 + 1. Let v = 3 + c. What is the first derivative of -3*s**2 + 2 - s**2 + 2*s**v wrt s? -4*s Let c be 3/(-2 - 28/(-8)). Find the second derivative of c*l - 4*l**2 - 8 + 8 wrt l. -8 Let w(o) be the third derivative of 0*o - 1/24*o**4 + 0*o**3 + 0*o**6 + 1/210*o**7 + 0*o**5 + 3*o**2 + 0. Find the second derivative of w(q) wrt q. 12*q**2 Let j(f) be the second derivative of -f**6/6 - 3*f**2 - 13*f. What is the derivative of j(v) wrt v? -20*v**3 Let o = -2 + 11. Suppose -5*n + 6 + o = 0. What is the first derivative of -j**4 - 3 + 1 + n*j**4 wrt j? 8*j**3 Suppose 5*q = -5*l + 25, -2*q + 23 = 5*l + q. Find the second derivative of l*p**4 + 2*p - 3*p + 0*p - p**4 wrt p. 36*p**2 Suppose 9*v - 14*v = 0. Let y(t) be the first derivative of 2/3*t**3 + v*t**2 - 2 - t. Differentiate y(b) with respect to b. 4*b Let m(l) be the third derivative of l**7/280 + l**4/4 - 5*l**3/6 - l**2. Let y(u) be the first derivative of m(u). Differentiate y(j) wrt j. 9*j**2 Let y(o) = 4*o**2 + 31*o. Let d(n) = -n**2 - 10*n. Let x(l) = -7*d(l) - 2*y(l). Find the second derivative of x(k) wrt k. -2 Let t(c) be the first derivative of 7*c**5/20 + c**2 + 2*c - 4. Let b(y) be the first derivative of t(y). Differentiate b(d) wrt d. 21*d**2 Let n(b) be the second derivative of -5*b**7/14 + 5*b**3/3 + 42*b. What is the second derivative of n(s) wrt s? -300*s**3 Let z be ((-5)/(-2))/((-3)/(-6)). What is the third derivative of -c**z - 4*c - 3*c**2 + 4*c wrt c? -60*c**2 Suppose 0 = 5*j - 4*n - 4, -j + n = -3*n + 12. Find the third derivative of 2*y**2 + 4*y**6 - 4*y**6 - j*y**6 - y**2 wrt y. -480*y**3 Let l(b) = -11*b**3 - 6*b**2 - 2*b - 2. Let f(n) = n**3 + n**2 + n + 1. Let d(g) = 2*f(g) + l(g). What is the third derivative of d(x) wrt x? -54 Let o(c) be the first derivative of -19*c**2/2 + 52*c - 10. Differentiate o(b) with respect to b. -19 Let f(s) = s**3 + 5*s**2 + 3*s. Let z be f(-4). Suppose -4 = -3*m + 2. What is the third derivative of -2*c**m + c**3 - z*c**2 + 4*c**2 wrt c? 6 What is the third derivative of o**2 + 9*o**2 + 7*o**3 - 6*o**3 + 3*o**3 wrt o? 24 Suppose -3*h = 4*s - 9 - 0, 3*h = 4*s + 9. Find the third derivative of 0*z**6 + 3*z**2 - h*z**6 + z**6 wrt z. -240*z**3 Suppose 4 = -3*w + 5*w. Find the third derivative of 2*r - 2*r + 5*r**3 - r**3 + w*r**2 wrt r. 24 Let h(d) be the third derivative of d**8/48 - 3*d**5/20 - 5*d**2. Find the third derivative of h(u) wrt u. 420*u**2 What is the second derivative of -153*i - 16*i**4 - 19*i**4 + 110*i wrt i? -420*i**2 Let b(z) be the second derivative of -z**5/120 - z**4/24 - z**3 + z. Let h(p) be the second derivative of b(p). Differentiate h(d) wrt d. -1 Let y(d) be the second derivative of 2*d**6/5 - 13*d**2/2 + 12*d. Differentiate y(k) wrt k. 48*k**3 Let c(n) = -n**2 + 2*n + 2. Let h(g) be the first derivative of g**3/3 - g**2/2 - 3. Let i(y) = 2*c(y) + 4*h(y). Find the first derivative of i(w) wrt w. 4*w Suppose -4*f + 19 = -3*u + 8*u, 4*f = -u + 23. Find the third derivative of -4*b**f + b**2 + 0*b**2 - 2*b**2 wrt b. -480*b**3 Let v(r) be the first derivative of 7*r**4/2 + 7*r + 2. What is the derivative of v(m) wrt m? 42*m**2 Let k(t) be the third derivative of -t**8/48 - 7*t**5/60 - 9*t**2. What is the third derivative of k(h) wrt h? -420*h**2 Suppose -x + 2*s + 5 = 3*s, -3*s - 5 = -2*x. Suppose -5*c + g - x*g - 2 = 0, -4 = g. Find the first derivative of -c + 0*p**4 + 0 - 2*p**4 wrt p. -8*p**3 What is the third derivative of -2*i**2 + 6*i**2 + i**5 + 0*i**5 wrt i? 60*i**2 Let s(c) be the second derivative of -1/2*c**3 + 0 + 2*c + 0*c**4 + 1/21*c**7 + 0*c**5 + 0*c**6 + 0*c**2. Find the second derivative of s(i) wrt i. 40*i**3 Let y(m) = -m**3 - m**2 + m + 1. Let w(o) = 6*o**3 + 39*o**2 - 5*o - 5. Let j(i) = w(i) + 5*y(i). What is the third derivative of j(c) wrt c? 6 Suppose 4*l - l = 12, 6 = 3*p - 3*l. Find the second derivative of -p*v + 0*v**2 + 2*v + 2*v + 2*v**2 wrt v. 4 Let h(f) = f**2 + 8*f + 7. Let b be h(-7). Suppose -3*c + 13 = -z - 1, c + z - 2 = b. What is the derivative of -2*v**2 + 4 + 3*v**2 - v**2 - 3*v**c wrt v? -12*v**3 Let y(p) = p - 6. Suppose -21 = -4*h + 3*g, -g = 4*h + 1 - 42. Let f be y(h). What is the second derivative of x + 3*x**3 + 2*x - 3*x**f + 2*x**3 wrt x? 12*x Let n(b) = -b**2 + b. Let j(k) = 4*k**2 + 3*k - 4. Let o(y) = -5*j(y) + 15*n(y). What is the derivative of o(w) wrt w? -70*w Let q(o) = 2*o. Let x be q(2). Suppose 5 = y, -f - 3*y - 2 = -x*y. Differentiate 3*m**3 + 3*m**f - 4*m**3 + 1 wrt m. 6*m**2 Let r = 0 + 4. Find the third derivative of -3*u**4 - 5*u**2 + 6*u**4 + u**r + u**4 wrt u. 120*u Let l(z) = 13*z**4 - 6*z**3 + 5*z**2 + 24. Let k(c) = -12*c**4 + 5*c**3 - 4*c**2 - 23. Let u(g) = -6*k(g) - 5*l(g). What is the first derivative of u(w) wrt w? 28*w**3 - 2*w Let y(d) be the second derivative of -d**9/336 + d**6/90 + 5*d**3/6 - 6*d. Let k(j) be the second derivative of y(j). Find the third derivative of k(s) wrt s. -540*s**2 Let n(a) be the second derivative of -1/10*a**6 - 5*a + 0 + 0*a**2 + 0*a**5 - 1/6*a**3 + 0*a**4. Find the second derivative of n(q) wrt q. -36*q**2 Let p(w) be the second derivative of 9*w**5/20 + 5*w**4/12 - 10*w. Find the third derivative of p(q) wrt q. 54 Let k be (6 - 3 - -1)/2. Suppose -3 = k*d - 11. Find the third derivative of -4*c**2 + c**5 - 19*c**d - 2*c**5 + 19*c**4 wrt c. -60*c**2 Let x(d) be the second derivative of -2*d**7/21 + d**3/6 - d. What is the second derivative of x(z) wrt z? -80*z**3 Let m(p) = -1840*p + 2001. Let x(i) = 23*i - 25. Let l(n) = -4*m(n) - 322*x(n). Find the first derivative of l(h) wrt h. -46 Let v(c) be the first derivative of -15*c**4/4 + c**2 + 6*c + 56. Find the second derivative of v(a) wrt a. -90*a Suppose -5*o + o = -8, 4*y - o + 2 = 0. What is the second derivative of h**2 + h**2 - 3*h + y*h**2 + h**2 wrt h? 6 What is the third derivative of j**5 + 36 - 36 - 3*j**2 wrt j? 60*j**2 Let y(x) be the third derivative of 22*x**7/105 - 17*x**5/60 + 46*x**2. Find the third derivative of y(l) wrt l. 1056*l Suppose 11 - 2 = 3*n. What is the first derivative of 2 - 1 - n + 2*x wrt x? 2 Let i be (-2 + 4)/1 + 0. Suppose -10 = u - 6*u. Find the first derivative of 2 + r**2 + u - i*r**2 - 5 wrt r. -2*r Let g(i) be the third derivative of 1/8*i**4 + 0*i**3 - 3*i**2 + 0*i**5 + 0*i - 1/112*i**8 + 0*i**7 + 0*i**6 + 0. Find the second derivative of g(v) wrt v. -60*v**3 Find the second derivative of -5*y + 5*y**4 + y - 6*y + y**4 wrt y. 72*y**2 Let o(x) be the first derivative of -7*x**5/5 - 3*x**3 + 8. What is the third derivative of o(m) wrt m? -168*m Let c(x) = 10*x**3 + x**2 + 5*x + 5. Let r(t) = -10*t**3 - t**2 - 4*t - 4. Let o(l) = 4*c(l) + 5*r(l). What is the third derivative of o(p) wrt p? -60 Let u = 33 - 21. Let m be u/7 - 2/(-7). Find the third derivative of v**5 - 4*v**2 + v**m + v**2 wrt v. 60*v**2 Let w(u) = 19*u**3 - 15*u**2 + 4. Let i(s) = 20*s**3 - 16*s**2 + 5. Let o(f) = 4*i(f) - 5*w(f). Find the third derivative of o(y) wrt y. -90 Let j(o) = 12*o**3 + 6*o**2 + 16*o + 6. Let i(q) = -q**3 - q**2 - q - 1. Let b(v) = 6*i(v) + j(v). Find the second derivative of b(z) wrt z. 36*z Let r(c) be the first derivative of 0*c**2 + 4*c - 2/3*c**3 + 4. Differentiate r(p) wrt p. -4*p What is the third derivative of -11399*r - 21*r**2 - 3*r**6 + 11399*r + r**5 wrt r? -360*r**3 + 60*r**2 Let p(u) = -u + 3. Let o be p(0). Suppose 4*a = o*a + 22. What is the second derivative of 3*i - 4*i - a*i**4 + 24*i**4 wrt i? 24*i**2 Find the first derivative of -5 + 6*w**2 + 21 - 3*w**2 + w**2 wrt w. 8*w Let s(y) = y**2 + 18*y + 20. Let a be s(-17). What is the third derivative of -3*k**2 - 4*k**2 - 3*k**6 + 10*k**6 - a*k**6 wrt k? 480*k**3 Suppose 2*t - 2 = 6. What is the second derivative of -4*c - 2*c + t*c - 2*c**3 wrt c? -12*c Let m(s) = -s. Let h(a) = 11*a**2 - 13*a. Let r(b) = -h(b) - 3*m(b). What is the second derivative of r(j) wrt j? -22 Let f(r) = r**3 - 3. Let s(t) = 4. Let g(p) = 4*f(p) + 5*s(p). What is the derivative of g(n) wrt n? 12*n**2 Suppose -6 - 3 = -3*t. What is the second deriv
{ "pile_set_name": "DM Mathematics" }
) - (-355 + -3). 2, 89 Suppose 4*h - h - 4 = 2*k, h - 6 = -4*k. Suppose -h*g - 4*b + 2142 = 0, -3*b + 20 - 5 = 0. List the prime factors of g. 1061 Suppose 4*g + 12 = 0, -2*i = -0*g + 3*g - 5. Suppose -5*q + 4*f + 3 = 0, -13*f - 11 = 3*q - 9*f. List the prime factors of ((-253)/77)/(q/i). 23 Suppose -3*t - 2*r + 27690 = 0, 0 = 4*t + 63*r - 66*r - 36903. List the prime factors of t. 2, 3, 769 Let w = 9015 + -346. List the prime factors of w. 8669 Let y = 14718 + -5463. List the prime factors of y. 3, 5, 617 Let h be -4 + (-280)/(-32) - (-2)/8. Suppose -h*j + 351 = -1059. List the prime factors of j. 2, 3, 47 Let t = 334 + 186. Let n = t + 135. What are the prime factors of n? 5, 131 Let m(x) = 56*x + 5*x**2 - 14 - 1 - 64*x. What are the prime factors of m(5)? 2, 5, 7 Suppose 6*r + 36 - 6 = 0. What are the prime factors of (-92)/r*(-455)/(-26)? 2, 7, 23 Let p = 444 + -267. Let c = p - 91. What are the prime factors of c? 2, 43 Suppose p - 4*w = 4086, -8*p - 20388 = -13*p - w. List the prime factors of p. 2, 2039 Suppose 120 = -111*t + 135*t. Suppose t*l = 6855 + 950. What are the prime factors of l? 7, 223 Let n = 19227 - 5784. List the prime factors of n. 3, 4481 Let t = -2029 - -7383. What are the prime factors of t*1/12 - (-3)/(-18)? 2, 223 Let l be (-6 - -1)*(1 + (-22)/10). What are the prime factors of 4209/l + 5/(-9 + -1)? 701 What are the prime factors of 5628 - 4*(4 + -5)? 2, 11 Let u be 1/(136/(-16)) - 242/(-34). List the prime factors of (-1680)/u*8/(-5). 2, 3 Let v be (-1 - 3) + -6 + (-1 - -5). Let w be v/2 - (-21 + 16). Suppose -w*u + 109 = -g - 2*g, -262 = -5*u - 3*g. What are the prime factors of u? 53 Let c = -35080 - -58923. List the prime factors of c. 113, 211 What are the prime factors of (((-40)/8)/(-45))/((-2)/(-133074))? 7393 Let z be (5 - 12 - -3)*2. Let o = z + 7. Let f(l) = 7*l**2 + 4*l + 3. List the prime factors of f(o). 2, 3 Let w = -548 - -976. Suppose 3*v - w - 625 = -2*p, 15 = -3*v. What are the prime factors of p? 2, 3, 89 What are the prime factors of 207410/175*(3 + 7)? 2, 2963 Let n = -17 - -19. Suppose 6*d - 4*d = -u + 57, 3*u = n*d + 203. Suppose -5*w - 3*j = u - 260, 2*w - 78 = j. What are the prime factors of w? 3, 13 Let s be (-210)/45 + 3/(-9). List the prime factors of (-282)/(s - 18/(-6)). 3, 47 Suppose -46*s + 123660 + 217824 = 80664. List the prime factors of s. 2, 3, 5, 7 Suppose 5*m - a - 21289 = 0, -2*a = 4*m - 7*a - 17048. What are the prime factors of m? 3, 11, 43 Let u be (21/(-45))/((-4)/24)*10. Let o(n) = 14*n + 48. What are the prime factors of o(u)? 2, 5, 11 Let l be (-3)/8 - (-7905)/408. Let s(x) = 2*x**2 + 13*x - 65. List the prime factors of s(l). 2, 113 Let u(x) = 61 + 15*x + 44 - 77. Let m be u(-9). Let y = -91 - m. List the prime factors of y. 2 Let d be 1/(-4) - 24/32. Let z(h) = -8*h**3 + 3*h**2 + 3*h - 1. Let l(p) = -p**2 + 1. Let f(r) = d*z(r) - 4*l(r). List the prime factors of f(3). 3, 71 Suppose -2*w + 5*w - 5*c - 11 = 0, -w = 5*c + 23. List the prime factors of w/15 + (-47614)/(-70). 2, 5, 17 Let u = -60 + 115. Suppose u = 8*k - 17. Suppose -k*b = 3*b - 2244. What are the prime factors of b? 11, 17 Let m be (-34)/153 + (-4)/(-18). Suppose 0 = t - m - 6. List the prime factors of 854/34 + t/(-51). 5 Suppose 3*h = 5*u - 122, -5*u + 4*h = -u - 104. Suppose -2*w + 3*w = 2*x - 1, -5*w + 37 = 4*x. Let z = u - x. What are the prime factors of z? 19 Suppose 11*h - 6*h = 60. Let k(c) = c - h + 11 + 60*c**2 + 3*c**2. What are the prime factors of k(1)? 3, 7 Let h = 26204 + -18106. List the prime factors of h. 2, 4049 Let j(r) = -10*r + 2. Suppose 6 = 3*v, 0*v + 5*v - 18 = -4*w. Let h be 2 + ((-2)/2 - w). What are the prime factors of j(h)? 2, 3 Let m be (-43 + 3)/8 - -2286. What are the prime factors of 8/(-24) + m*1/3? 2, 5, 19 Suppose 58*m = 47*m + 361581. What are the prime factors of m? 3, 10957 What are the prime factors of ((-4)/(-3))/(68/1612416)? 2, 13, 19 Suppose 4*u - 24 + 8 = 0. Suppose 2*d - s = 165, -3*d + s - u*s = -270. Suppose -d = -4*z + 2*g - 3*g, 5*g = 5*z - 100. What are the prime factors of z? 3, 7 Suppose l = -2*l + z + 26, 39 = 2*l - 5*z. Suppose l*w = 30*w - 13938. List the prime factors of w. 2, 3, 101 Suppose -16 - 146 = 27*s. Let d(f) = -2*f**3 - 5*f**2 + 2*f + 11. What are the prime factors of d(s)? 251 Suppose -4*f + 69403 = u - 57062, 0 = -3*f - 2*u + 94840. List the prime factors of f. 2, 15809 Let k(n) = -n**3 - n**2 + 2*n + 109. Let h be k(0). Let d = 213 - h. List the prime factors of d. 2, 13 Suppose -c + 26 = -4*q + 14, -2*c = 5*q + 15. Suppose c = 11*i - 6*i - 2*g - 8124, -2*i = -2*g - 3246. List the prime factors of i. 2, 3, 271 Suppose -3*l + 0*l + 7047 = -3*i, -4696 = -2*l + 3*i. Let w = l - 1321. What are the prime factors of 0 - (-2)/6 - w/(-6)? 2, 43 Let s(m) = 13*m + 65. Suppose -2*f - 5*d = 3*f - 15, 2*f = -d + 8. Suppose 0 = -f*h + o + 72, -2*o = 3*h + 3*o - 60. What are the prime factors of s(h)? 2, 5, 13 Suppose 7046 = 5*d + 3*h, d - 13*h - 1402 = -10*h. What are the prime factors of d? 2, 11 Let g(c) = 2*c**2 - c + 1. Let b be g(-4). Let a be (2 - 1) + (13 - 33). Let l = b + a. What are the prime factors of l? 2, 3 Let q(j) = 2*j**2 - 7*j - 13. Suppose 2*g + 135 = 11*g. Suppose 2*a - v + 23 = 2*v, 2*v = -3*a - g. List the prime factors of q(a). 2, 67 Let x = -2771 - -4075. Suppose i + 3*i - x = 0. List the prime factors of i. 2, 163 Let w = 7225 - -3002. What are the prime factors of w? 3, 7, 487 Let p = 6458 - 122. What are the prime factors of p? 2, 3, 11 Suppose -4*o + 26324 = 4*b, -220 = 2*o - 212. List the prime factors of b. 3, 5, 439 Suppose n - 5*z + 21 = 4*n, 5*n - 5*z + 5 = 0. Suppose n*m - 6*m = -1044. What are the prime factors of m? 3, 29 Let o(v) = v**3 - 11*v**2 - 17*v - 1. Let n be o(13). Let y = n + -106. Suppose 0 = -y*w + 7*w + 330. List the prime factors of w. 2, 5, 11 Let n = 95 + -95. List the prime factors of 3 - -177 - (6 - n). 2, 3, 29 Suppose 0 = 3*n - 3*z + 25644 - 65976, -z = -2*n + 26883. List the prime factors of n. 89, 151 Let t(k) = -k**3 + 8*k**2 - 7*k + 7. Let n be t(7). Suppose 1 + 69 = -n*c. Let g(d) = -9*d - 42. What are the prime factors of g(c)? 2, 3 Suppose 9*z - 12398 = -6*z + 14*z. List the prime factors of z. 2, 6199 Let j(m) = 2*m**3 + 18*m**2 + 15*m - 4. Let c be (-70)/21*(-12)/(-5). List the prime factors of j(c). 2 Suppose -21*x + 20*x = -q + 5636, 4*x = -q + 5661. What are the prime factors of q? 5641 Let z(t) = -54*t**3 + 2*t**2 + t. Suppose -3*k - 4*a - 4 = -16, -4*a + 12 = 0. Suppose k = -6*x - 0*x - 6. List the prime factors of z(x). 5, 11 Let q(t) = -208*t - 619. What are the prime factors of q(-33)? 5, 1249 Let i(v) = 4 - 8 - 2*v + 14. Let f be i(5). Suppose -4*s + f*s + 196 = 0. List the prime factors of s. 7 Let x = -54182 - -83328. What are the prime factors of x? 2, 13, 19, 59 Let l(u) = -u**3 - 9*u**2 + 9*u - 17. Let b be l(-11). Let t = 252 - b. List the prime factors of t. 2, 3, 7 Suppose 0*i + d = 4*i, 4*d = -4*i. Suppose b - 663 + 114 = i. List the prime factors of 1 - 0 - b/(-9). 2, 31 Let b = 44526 + -25657. List the prime factors of b. 18869 Suppose g + 12 = 3*l - 7, 4*l = -4*g + 4. Suppose z + 4*z - 4*c - 154 = 0, -3*z + 85 = l*c. What are the prime factors of z? 2, 3, 5 Suppose 0*z + t - 2327 = -4*z, -2*z + 1156 = -2*t. Let j be (-2)/5 + z/(-35). Let m(r) = -14*r - 55. List the prime factors of m(j). 3, 61 List the prime factors of 24/14*(6/26 - 1886773/(-91)). 2, 3, 1481 Let z(g) = -23*g - 15. Let f be z(-6). Let i = f + 15. List the prime factors of i. 2, 3, 23 Let l(z) = 28*z**3 - 2*z**2 + z. Suppose -23*u + 46 = -0*u. What are the prime factors of l(u)? 2, 109 Let j(r) = 9*r**2 - r + 10. Let g(c) = -2*c**2 + 21*c - 15. Let k be g(10). What are the prime factors of j(k)? 2, 3, 5 Let b = 136 - 131. Suppose 0 = 4*z + b*z + 6642. Let v = -518 - z. What are the prime factors of v? 2, 5, 11 Let r(v) = 54*v**3 - 15*v**2 + 118*v - 29. What are the prime factors of r(6)? 11, 29, 37 Let b = -1 + 1. Suppose 3*g + 5*x - 954 = 0, 23*g + 4*x = 28*g - 1590. Suppose b = -0*f + 6*f - g. What are the prime factors of f? 53 Suppose -2*v - 5*w = 31, v - 5*w = 10 - 3. Let g(u) be the first derivative of u**4/4 + 10*u**3/3 + 11*u**2/2 + 10*u + 11. What are the prime factors of g(v)? 2,
{ "pile_set_name": "DM Mathematics" }
-13802*j**2*s**2 - 1529*j - 3*s**2 - 1 wrt j? -27604*s**2 Find the second derivative of 3*s*z**2 - 2*s*z - 24*s - 318*z**2 wrt z. 6*s - 636 Find the third derivative of 82*r**6*w + 2*r**4*w - 2*r**3*w + 173*r**2*w - 2 wrt r. 9840*r**3*w + 48*r*w - 12*w What is the first derivative of -24*d*i**2 - 5*d*i + 58*d + 9*i + 55 wrt i? -48*d*i - 5*d + 9 What is the third derivative of 248*g**5 + 2*g**4 + 6*g**3 + 2*g**2 + 2*g + 22? 14880*g**2 + 48*g + 36 Find the first derivative of -128*d*k**3 + 5*d*k**2 + d - 5*k**3 - 196*k - 2 wrt d. -128*k**3 + 5*k**2 + 1 What is the third derivative of -217*v**5 - 250*v**2 wrt v? -13020*v**2 Find the third derivative of -15023*w**3 + 13354*w**2 wrt w. -90138 Find the third derivative of -323*j**3*l*s**2 + 4*j**3*l*s - j**3*s + 2*j**2 + l*s**2 + 533*s**2 wrt j. -1938*l*s**2 + 24*l*s - 6*s Find the third derivative of -472*c**6 + 775*c**2 wrt c. -56640*c**3 Find the second derivative of -22*d**2*l**2 - 1534*d**2*l - 32*l**3 wrt l. -44*d**2 - 192*l Find the third derivative of 34*f**4 - 106*f**3*v**3 - 263*f**2*v**2 + 2*f*v**3 + 2*v**3 wrt f. 816*f - 636*v**3 Find the third derivative of -9*m**6 + 26*m**3*o - 5*m**2*o - 9*m*o + 2 wrt m. -1080*m**3 + 156*o What is the second derivative of 137*i**2*k**3 + 2*i**2*k + i*k**3 + 108*i*k wrt k? 822*i**2*k + 6*i*k What is the second derivative of h*p**2*s + h*p**2 + h*q**3 - h*q*s + 3*p**2*q**2*s - 2*p**2*q*s + 2*p*q**3 wrt q? 6*h*q + 6*p**2*s + 12*p*q Find the first derivative of 357*v - 123 wrt v. 357 What is the second derivative of -2*d**3 - 104*d**2*i**2 - 2*d*i**2 - 51*i**2 - i wrt d? -12*d - 208*i**2 Find the first derivative of -39*k*p**3 - k*p + 16*k + 9184*p**3 wrt k. -39*p**3 - p + 16 Find the third derivative of -1106*n**3 - 169*n**2. -6636 Find the second derivative of -2794*v**3 + 2939*v wrt v. -16764*v What is the third derivative of -6*d**6 + 6*d**3 - 433*d**2? -720*d**3 + 36 What is the second derivative of -6149*s**4 - 1427*s? -73788*s**2 Differentiate -592*i**4*s**3 - i*s**3 + 16*s**3 + 85*s wrt i. -2368*i**3*s**3 - s**3 What is the derivative of -q**2*v**2*y - 4*q**2*y - 4*q**2 - 13*q*v*y - q*y - 8*v**2 wrt v? -2*q**2*v*y - 13*q*y - 16*v Find the third derivative of -2*h**2*z**4 - 2*h**2*z**2 + 159*h**2 + 199*z**3 wrt z. -48*h**2*z + 1194 What is the second derivative of -140*s**2 + 2*s + 128? -280 What is the second derivative of -d**3*s**2 - 86*d**3*s + 2*d**2*s - 78*s**2 wrt s? -2*d**3 - 156 What is the third derivative of -143*d**4*x**2 + 2*d**4 - 3*d**3*x - d**2*x**2 - 6497*x wrt d? -3432*d*x**2 + 48*d - 18*x What is the derivative of -37*c**2*l**3 - c**2 + c*l**3 - 760*l**3 wrt c? -74*c*l**3 - 2*c + l**3 What is the second derivative of 239*r**2*z**2 + r**2*z - 86*r**2 + 3*z wrt z? 478*r**2 Find the first derivative of -1780*x**3 - 548. -5340*x**2 Find the second derivative of 13708*v**2 - v - 10896 wrt v. 27416 Find the second derivative of f**5 - 22*f**4 + f - 86 wrt f. 20*f**3 - 264*f**2 Find the first derivative of -8*l**2*r**2 - 2*l**2 + 4*r**3 - 53 wrt r. -16*l**2*r + 12*r**2 Find the third derivative of w**4 + 122*w**3 - 334*w**2. 24*w + 732 Differentiate -119*h - 355 with respect to h. -119 What is the third derivative of -23*g**6 - 12*g**4 - 61*g**2 - 2 wrt g? -2760*g**3 - 288*g Find the second derivative of -g*k*w*y + 27*g*w*y**2 - 5*g*w*y + 3*g*y**2 - 2*g*y + 2*k*w*y**2 + 8*k*w + w*y**2 wrt y. 54*g*w + 6*g + 4*k*w + 2*w What is the third derivative of 138*g**6 + 18*g**2 + 10*g wrt g? 16560*g**3 Find the third derivative of -32*n**5*q**2 + 12*n**3*q**2 + 3*n**2*q**2 - 230*n**2 wrt n. -1920*n**2*q**2 + 72*q**2 What is the third derivative of -200*l**3 - 316*l**2 - 2*l? -1200 What is the first derivative of 112*i**3*v**2 + 688*i**3 + i + 12*v**2 wrt v? 224*i**3*v + 24*v Differentiate m*q**3*u**2 - 3018*m*q*u**2 + q**3*u**2 + 1659*u**2 wrt m. q**3*u**2 - 3018*q*u**2 Find the second derivative of n**3*x**4 + 5*n**3*x**2 - n**3*x + 4*x**2 - 4*x wrt x. 12*n**3*x**2 + 10*n**3 + 8 What is the third derivative of 5*t**4*v**2 - 4*t**3*v**2 + t**2*v**2 - t**2*v wrt t? 120*t*v**2 - 24*v**2 What is the third derivative of -288*t**6 + 47*t**2 - 1 wrt t? -34560*t**3 What is the second derivative of -1707*i**2 + 74*i + 4? -3414 Differentiate 925*c**2*r + 3*c**2 + c*k*r - 2*k*r**2 + 383*k wrt r. 925*c**2 + c*k - 4*k*r Find the second derivative of 6708*n**3 - 670*n - 1. 40248*n Find the first derivative of -2*g**3*m*n + 103*g**3 - 3*g*n**2 - 646*m*n**2 wrt m. -2*g**3*n - 646*n**2 Find the second derivative of -c**4 + 274*c**3 + 157*c - 1. -12*c**2 + 1644*c What is the second derivative of 21*m*p**4 + m*p**3 + m*p**2 - 7*m*p + 2*m - 16*p wrt p? 252*m*p**2 + 6*m*p + 2*m Find the second derivative of -44*m**3*n**4 + 4*m**3*n**3 - 4*m**3*n - 9*m**2*n + n wrt n. -528*m**3*n**2 + 24*m**3*n Find the second derivative of a**5*w - 4*a**5 + 20*a**2*w - 2*a*w - 6*a - 7*w wrt a. 20*a**3*w - 80*a**3 + 40*w What is the third derivative of 62*x**4 + 169*x**2 wrt x? 1488*x What is the second derivative of -1274*y**2 + y + 57 wrt y? -2548 What is the second derivative of 3459*y**5 - 1945*y? 69180*y**3 Find the second derivative of -3*b**2*q**2*t**2*w + 15*b**2*q**2*t**2 + 2*b**2*q*t**2 + 91*b*q*w + 2*b*t*w wrt q. -6*b**2*t**2*w + 30*b**2*t**2 Find the third derivative of 15287*y**3 - 161*y**2 + 1. 91722 What is the third derivative of -2*d**3*t**3*z - 3*d**3*t**2 + 105*d**3*t*z + 60*d**2*t**3*z + 2*d**2*t**3 + 3*d*t**3*z - 2*d*z - 2*t**2*z wrt d? -12*t**3*z - 18*t**2 + 630*t*z What is the first derivative of 15*t**2*v**3 - 8*t**2 - 6*v**3 + 66 wrt t? 30*t*v**3 - 16*t What is the second derivative of w**4 - 5*w**3*z + 2*w**2 - 101*w*z - 1 wrt w? 12*w**2 - 30*w*z + 4 Differentiate -h**2*i**2 + 74*h**2 + 3*h*i**3 + h - 12*i**3 with respect to i. -2*h**2*i + 9*h*i**2 - 36*i**2 What is the third derivative of 708*i**3*n**2 - 2*i**2*n**2 - 26*i**2 - i*n**2 wrt i? 4248*n**2 Find the third derivative of -193*f**2*u*x**3 + 8*f**2*u*x**2 - 2*f**2*x**2 + 2*f*u*x**2 + 2*u wrt x. -1158*f**2*u What is the second derivative of -3503*h**3 + 1153*h - 4? -21018*h What is the second derivative of -10340*h**2 - 7028*h? -20680 What is the derivative of -29*c**2*n + c**2 + 2*c*n - 5*c + 6*n - 30 wrt c? -58*c*n + 2*c + 2*n - 5 Find the third derivative of -5*n**4 + 57*n**3*r - 2*n**2*r + 637*n*r wrt n. -120*n + 342*r What is the second derivative of -17*g**2*h**2 + 8*g**2*j + 9*g*j + 5*h**2 + 2*h*j wrt g? -34*h**2 + 16*j Find the second derivative of 2*j**4*s + j**2*s*u**2 - j**2*u**2 + j*s*u**2 + 7*j*s + s*u**2 wrt j. 24*j**2*s + 2*s*u**2 - 2*u**2 Find the first derivative of 9743*j**4 - 7979 wrt j. 38972*j**3 Find the second derivative of -15144*b**5 - 27*b + 44 wrt b. -302880*b**3 Find the first derivative of 4*w**4 + 21*w + 3064 wrt w. 16*w**3 + 21 Find the second derivative of 406*r**5*t**2 + r**2*t**2 + 2*r*t**2 + 90*r*t wrt r. 8120*r**3*t**2 + 2*t**2 What is the derivative of 17263*h**2 + 17858? 34526*h Find the third derivative of -677*m**6 + 28*m**2. -81240*m**3 What is the second derivative of 1472*f**2*h**3*v**2 - 17*f**2*h**3*v + 2*f**2*v + 2*f*h*v - h**3 wrt v? 2944*f**2*h**3 Find the second derivative of -97*l**3 - 25*l**2 + 2*l + 593 wrt l. -582*l - 50 What is the derivative of -3245*v + 2162? -3245 Find the second derivative of 2*a**3*v**2 + a**3 + 66*a**2*t**2*v**2 + 2*a*t**2*v + 2*a*v + t**2*v wrt v. 4*a**3 + 132*a**2*t**2 Find the first derivative of 1487*a**3 - 3818. 4461*a**2 What is the first derivative of -1283*k + 1282? -1283 What is the first derivative of 24*c**2*i*r - c**2 - 2*c*i*r**2 + 93*r**2 wrt i? 24*c**2*r - 2*c*r**2 What is the first derivative of 87*u**3 + 2*u**2 + 3 wrt u? 261*u**2 + 4*u Find the third derivative of d**4 - 176*d**3 + 2*d**2 - 49 wrt d. 24*d - 1056 What is the second derivative of 249*b**2*m*o + 3*b**2*o**2*r**2 + 2*b**2*o*r + 2*b*m*o - b*m*r**2 + 3*b*o - 32*m*o**2*r + m*o*r**2 - o**2*r wrt o? 6*b**2*r**2 - 64*m*r - 2*r Find the third derivative of -2*g**3*i**4 + 58*g**3*i**3 + 2*g**3*i**2 + 21*g**3 - 4*g**2*i wrt i. -48*g**3*i + 348*g**3 What is the first derivative of -182*p*z - 141*p wrt z? -182*p What is the first derivative of 503*a*i*k**2 + 11*a*k - i*k**2 - 2*k**2 - 1 wrt i? 503*a*k**2 - k**2 Find the third derivative of 62*g**3*u*
{ "pile_set_name": "DM Mathematics" }
in 1/9, 4.63, -3/5, -117? 4.63 Which is the sixth biggest value? (a) -32 (b) 0 (c) 2/33 (d) 5 (e) -1/5 (f) 1 a Which is the fourth biggest value? (a) 2 (b) -116 (c) 4 (d) 49 b What is the second smallest value in -158686, 0.13, -1/4? -1/4 Which is the smallest value? (a) 77 (b) 0.052 (c) -1386/17 c What is the fourth smallest value in 1, 14.04, 0.1, 5, 170? 14.04 Which is the sixth smallest value? (a) -13195 (b) 11 (c) 4 (d) -3 (e) -1/4 (f) 5 b Which is the second biggest value? (a) -5 (b) 1262654 (c) 7 c Which is the fourth biggest value? (a) -319387 (b) -3/7 (c) 7 (d) 1 a What is the third biggest value in -2/3, -4/5, -0.18, 1/2, -1205950? -2/3 What is the fourth biggest value in 1/25, -3.6, 3/8, 5? -3.6 What is the second biggest value in -2/15, -222.3, -47, 0? -2/15 What is the smallest value in 6/83, -13843, 0.4? -13843 Which is the second smallest value? (a) 595 (b) 0.1 (c) -6333 b What is the fourth biggest value in 0.2, 1/3, -25, -31.6, 2/791? -25 Which is the second biggest value? (a) 611 (b) -0.8 (c) -16847 b What is the fourth biggest value in -1/3, 0, -8, -51, 0.0118, -0.1? -1/3 What is the second biggest value in 46, 2/15, -2, 570688? 46 What is the smallest value in 4, 26/107, -199.9, 0.1? -199.9 Which is the fourth biggest value? (a) 16.4 (b) 2/7 (c) 3/8 (d) -50/3 (e) -1/5 (f) -3/37 f What is the second smallest value in 2/3, 0.19106, -5/6, -5, 1? -5/6 Which is the fourth biggest value? (a) -42 (b) -0.3 (c) -6/5 (d) 0.2 (e) 65 (f) 0 (g) -1/4 g Which is the sixth smallest value? (a) 1/5 (b) 5363 (c) -2/9 (d) 2 (e) 1 (f) 1.2 b Which is the second biggest value? (a) -0.3 (b) 3 (c) -381 (d) 39304 (e) -2 (f) -3 (g) 0.3 b Which is the third smallest value? (a) 2228.4 (b) -1/144 (c) -77 (d) 0.5 d What is the second smallest value in -2, 0, -10, -0.8, 204, -5? -5 Which is the seventh smallest value? (a) 3 (b) -4/5 (c) 77 (d) 0.5 (e) 14 (f) -6 (g) -2/9 c What is the fourth smallest value in 0.29, -2/9, -0.5, -5/11, -0.3, -3? -0.3 Which is the fourth biggest value? (a) -5 (b) -2/81 (c) 515 (d) -0.19 a What is the fourth smallest value in -98, 699, -2/49, -0.3? 699 Which is the third smallest value? (a) 4 (b) -4 (c) 12/48384239 a Which is the sixth smallest value? (a) -3/8 (b) 6/13 (c) -0.266 (d) -4 (e) -0.3 (f) -2/11 b Which is the third smallest value? (a) -123 (b) 1041 (c) 8 b Which is the third biggest value? (a) -163.7201 (b) 2/11 (c) -4 (d) 1/6 c Which is the third smallest value? (a) -5 (b) 2 (c) -646/25 (d) 3 (e) -0.06 (f) 1/3 (g) 1 e What is the biggest value in -94, -10, 16630? 16630 What is the third smallest value in -3, -2278/5, -28, 0.1, 0? -3 What is the third biggest value in -87300, -27, 28/5? -87300 What is the third smallest value in 1.4, 0.3, 3494513? 3494513 What is the fourth smallest value in -2/3, -111, 0.2, -22, 1, 1/4? 0.2 Which is the smallest value? (a) -448094/7 (b) 0.4 (c) -1 (d) -10/3 a Which is the second biggest value? (a) 3 (b) -0.3 (c) 2/5 (d) -6 (e) 0.012 (f) -1.8 c What is the second biggest value in 232, -0.3, 4, -2/35, -67, -1/2? 4 Which is the biggest value? (a) 5108008 (b) 0 (c) 36 a What is the biggest value in 5, -3, 0.54, 421, -1/23, -5? 421 What is the third biggest value in -0.1, 4/31, 533.14, 3/2, -2, -2/5? 4/31 Which is the seventh biggest value? (a) 0.3 (b) 4 (c) -20080 (d) -4 (e) 1/3 (f) 0.2 (g) -1 c What is the fourth biggest value in -3, -0.5, -27, 3/8, 294082, -0.2? -0.5 Which is the smallest value? (a) 43/14 (b) 0.4 (c) 3 (d) 147/736 d What is the fifth smallest value in 0, -15870, -12/11, -3, 1/2? 1/2 Which is the third smallest value? (a) 7.8 (b) -2/3 (c) -32022 a Which is the third smallest value? (a) 13 (b) -16/7 (c) 2/5 (d) 5 (e) -0.385 c What is the third biggest value in 983, 2/5, -0.5, -7/2? -0.5 What is the smallest value in -1/196, 0.4, -2/9, -15? -15 Which is the third biggest value? (a) 4 (b) 3 (c) 0.1 (d) -4/167 (e) -13 c Which is the fifth biggest value? (a) 0.04 (b) 4 (c) -1/5 (d) 6 (e) 6/1751 c What is the fourth biggest value in -6/91, -3, 0.5, 7, -1, -85, -6? -1 Which is the sixth smallest value? (a) 7 (b) 2/5 (c) 0.5 (d) -0.6 (e) -89/2 (f) -2.44 a Which is the biggest value? (a) 0.4 (b) 0.8691 (c) 0.1 (d) 40 d What is the fourth biggest value in -275, 10, 6, 0.2? -275 What is the fourth smallest value in -3/4, 2, -485364, -2? 2 What is the fourth biggest value in 2/7, -0.42, 0.1, 52, -0.0775, 6/7? 0.1 Which is the seventh biggest value? (a) 1310.9 (b) -2.9 (c) 1 (d) -1 (e) -3/5 (f) -0.3 (g) -4 g What is the fourth biggest value in 0.0642, -1/7, 2/3, 1, -3, -4, -8? -1/7 What is the biggest value in 3/4, 2/11, 2/8859, -29? 3/4 What is the third smallest value in 0.11, 2/15, -6, -4/17, -3, 1/3? -4/17 Which is the fourth biggest value? (a) -2/3 (b) -56 (c) -6778 (d) 5 c What is the fifth smallest value in 0.3, 2.45, -1, 2480, 2? 2480 Which is the fifth smallest value? (a) 390 (b) 9140 (c) 1 (d) -2/7 (e) -2/5 b What is the third biggest value in 0, -1, -22.53, 3325? -1 What is the smallest value in 2/21, -1.22, 2/5, 639/16? -1.22 Which is the second biggest value? (a) 1/5 (b) 0.179 (c) 244/579 a Which is the smallest value? (a) -137 (b) -46 (c) -879 c Which is the fourth smallest value? (a) -2/19 (b) -174 (c) -0.34 (d) 2/2609 d What is the third biggest value in -0.06, 0.4, -9, -2, 1/5, 241? 1/5 What is the fourth biggest value in 0.1, -85095, 530/7, -4? -85095 Which is the third smallest value? (a) 12 (b) -0.2 (c) -52 (d) -2 (e) 82/11 (f) -94 d Which is the third smallest value? (a) -3 (b) 794 (c) -634 b Which is the second smallest value? (a) 8 (b) -14 (c) -4350 (d) 1/8 (e) -3 (f) 9 (g) -4 b What is the second biggest value in 14/5, 2.4, 0.09, -2/5, 214? 14/5 What is the second biggest value in -124, -24743, 2? -124 Which is the third biggest value? (a) 16222 (b) 347 (c) 3 c Which is the sixth biggest value? (a) 1/8 (b) -2 (c) -573 (d) -4 (e) 257 (f) 4/3 c Which is the fourth smallest value? (a) -0.07 (b) 2 (c) -3 (d) -0.593 b Which is the second smallest value? (a) 1/4 (b) -2.602 (c) -19/8 (d) 1/2 (e) -2/11 c What is the smallest value in -5, -16897, -197/5, -12? -16897 Which is the third smallest value? (a) -0.4 (b) -16 (c) 5 (d) -8 (e) 1/2 (f) 2 (g) -1.4 g Which is the second smallest value? (a) -5 (b) 0.1 (c) 1 (d) 71 (e) -0.72 (f) -5/2 f What is the second biggest value in 0.5, -3/8, 2/3, -3/67, -35/12? 0.5 What is the third smallest value in -3/4, -0.3, 991/37, 0.0599? 0.0599 Which is the fourth smallest value? (a) 3 (b) -6 (c) -433 (d) -1/3 (e) -349 d What is the third smallest value in -0.3, -8, 2/835, -0.41, -0.2, -14? -0.41 Which is the third smallest value? (a) -10 (b) 51671 (c) -5 (d) 1/2 (e) 19 d Which is the fifth biggest value? (a) 42 (b) 4 (c) -3/4 (d) -0.5 (e) -38 (f) 0 c What is the sixth biggest value in -1.504, 3/8, 0, 16, -3, 7, 0.4? -1.504 What is the fourth smallest value in -4, 7, 0.116, -2/51? 7 What is the smallest value in 0.5, 0.3, -9/73, 2/9, 2/25, 1, 2/11? -9/73 Which is the third smallest value? (a) 1214 (b) -0.2 (c) 174 a Which is the third biggest value? (a) 16 (b) 2 (c) -3 (d) 208 (e) -0.1 b Which is the fourth biggest value? (a) -66 (b) 2822 (c) -1/4 (d) -5 a Which is the smallest value? (a) 4 (b) 1848412 (c) -0.2 (d) 2/15 (e) 5 c What is the third smallest value in 1, -0.0516, 14, 0, -1/4, 1/7? 0 What is the fourth biggest value in -2/269, 67, 1, 54/11? -2/269 What is the third biggest value in 6/7, 32, -73/9? -73/9 Which is the second smallest value? (a) -2/51 (b) -1/9 (c) 48 (d) -281 b What is the third biggest value in -225, 42/41, 1/3? -225 Which is the third smallest value? (a) -0.2 (b) -0.4 (c) 2 (d) -3 (e) 1/2 (f) 701.77 a What is the fifth biggest value in -0.921, 2, -5/16, 3, -2/13, 3/5? -5/16 Which is the biggest value? (a) 7 (b) 1/3 (c) -0.5 (d) 5 (e) -3.032 a What is the biggest value in -1032, 3.262, -13, 1/7, -3? 3.262 Which is the second biggest value? (a) -40 (b) -803 (c) 288 (d) -1/5 d What is the fourth smallest value in 0.4, 1/8, -1, 580, -0.3
{ "pile_set_name": "DM Mathematics" }
et u = 253 + -250. Suppose 0 = x*w + 10, u*y - y = -3*w + 426. What is the hundreds digit of y? 2 Let u(a) = -4*a + 2. Let t be u(0). Let s be (45/2)/((-59)/(-28) - t). Suppose 0 = n, 4*n + s = 2*y + 6*n. What is the tens digit of y? 0 Suppose -4*q - 3*c - 95 = 0, 5*q + 116 = 5*c - 6*c. Let u(i) = -20*i + 94. What is the units digit of u(q)? 4 Let r(m) = -4*m + 2. Let o be r(-1). Suppose -f - 4 = 2*w - o*w, -4*w + 5*f = -20. Suppose w = 10*l + 2*l - 1752. What is the hundreds digit of l? 1 Suppose 0 = 4*o - 7 - 1, 5*d = -4*o - 16847. Let t = d + 4860. What is the hundreds digit of t? 4 What is the thousands digit of (-12)/18 + (-267289)/(-33) + -11? 8 Let p = -79 - -76. Let z(m) = -m**2 - 6*m - 7. Let c be z(p). Suppose 27 = -c*k + 47. What is the tens digit of k? 1 Suppose -20*b + 6178 = 6138. Let a be (2 - (0 - -7))*-1. Suppose -117 = -3*j - x + 122, b*j - 181 = -a*x. What is the units digit of j? 8 Let a be (6/5)/((-33)/(-1430)) + 5. Suppose a*t = 51*t + 7782. What is the thousands digit of t? 1 Let y = -1872 - -6782. What is the hundreds digit of y? 9 Suppose -78*a + 74*a + 79267 = 5*c, -4*a - 3*c = -79253. What is the thousands digit of a? 9 Suppose -6*u - 84*u = -15*u - 130950. What is the units digit of u? 6 Suppose -109052 = -2*c - 6*y, -227698 = -5*c + 5*y + 44892. What is the ten thousands digit of c? 5 Suppose 0 = -3*y + 4*b - 23236 + 121323, -4*b + 130708 = 4*y. What is the hundreds digit of y? 6 Let f(h) = -2*h + 1. Let s be f(-2). Suppose 38 = s*u - 12. What is the hundreds digit of 13328/80 + 4/u? 1 Suppose -2*v + 6 = -2, 3907 = s + 5*v. What is the hundreds digit of s? 8 Suppose -737719 = -60*v + 692842 + 240439. What is the units digit of v? 0 Let f(b) = 5*b**3 - 9*b**2 + 79*b - 8. What is the tens digit of f(5)? 8 Let d(i) = -233*i + 23. Let u be 5*(-4 + 126/35). What is the units digit of d(u)? 9 Let c be (-9)/6 - (-2 - (-12156)/(-8)). Suppose -13*f = -9*f + 2*x - c, 4*f - 4*x - 1496 = 0. What is the units digit of f? 8 Suppose -o + 6372 = -5*r - 4501, 2*o + 2*r - 21782 = 0. What is the units digit of o? 8 Let k be 2*-3*11/6. Let x be (7 - 2)*(k + 9). Let o = 20 - x. What is the tens digit of o? 3 Let d(i) = 5568*i**2 + 41*i + 73. What is the hundreds digit of d(-2)? 2 Suppose -5*j = 523 + 87. Let l = 300 + j. Suppose 0 = 3*u + u + 5*d - 745, u + 4*d - l = 0. What is the tens digit of u? 9 Let l = -5367 + 7519. Suppose -5*j - z + l = 0, -j + 2*j - 3*z = 440. What is the tens digit of j? 3 Suppose u - 4*a - 76 = 105, 5*u + 2*a = 795. Suppose -u*z + 163*z = 3080. What is the units digit of z? 0 Suppose 0 = -5*j - 591*i + 587*i + 104533, -j = -i - 20912. What is the tens digit of j? 0 Let d(x) = -25 - 2*x - 35*x - 62 - 12*x - 35*x. What is the units digit of d(-5)? 3 Let h(t) = t**2 + t + 93. Let d = -25 - -30. Suppose l = 9*l + d*l. What is the units digit of h(l)? 3 Suppose 2*d + 4*d = 4074. Let n = -324 + d. Suppose -6*h + 2*h = -i + 86, 5*h - n = -5*i. What is the tens digit of i? 7 Let x = 3281 - -64658. What is the ten thousands digit of x? 6 Suppose 7*m - 243 - 254 = 0. Let q = m - 69. Suppose -5*d = -5*u, 36 = 5*u - q*d + 6*d. What is the units digit of u? 4 What is the hundreds digit of 10857/154*88*7/6? 2 Let x = 3433 + -1754. What is the units digit of x? 9 Suppose 6302 = x - 5*h, -x = -3*h - 2452 - 3844. What is the tens digit of x? 8 What is the hundreds digit of (-87044*22/44)/((-1 - -2) + -3)? 7 Let l(o) = o**2 - 13*o + 78. Suppose 9*w = -8*w - 238. What is the tens digit of l(w)? 5 Let k = -98 + 150. Let a = 85 - k. Suppose 30*u - a*u + 228 = 0. What is the units digit of u? 6 Let d be (-12)/(-5) + (-8)/20. Let n(s) = 10*s - 6*s - s - d. What is the units digit of n(2)? 4 Suppose -3*z + 39 = -0*z. Let i(k) = -k**3 + 13*k**2 - 13*k - 9. Let h be i(z). Let l = -94 - h. What is the units digit of l? 4 Let y(r) = 69*r**2 - 2*r - 3. Let x(j) = j - 7. Let m(f) = 2*f**3 + 10*f**2 + f + 14. Let g be m(-5). Let p be x(g). What is the units digit of y(p)? 9 What is the ten thousands digit of (6/27 + 32612/1395)*18175/10? 4 Suppose 2*q - 22644 = 4*b, q - 46*b = -48*b + 11326. What is the units digit of q? 4 Suppose -5*h + 3*h + 6 = 3*k, -9 = 3*h. Suppose k*p + 3*o = 5*o - 188, -5*o = 4*p + 174. Let u = p + 54. What is the units digit of u? 8 Suppose -3325 = 5*p - 4*m, 3*m - 1992 = 2*p + p. Let h = p + 357. Let w = -152 - h. What is the units digit of w? 0 Suppose 0 = 5*v - 25*f + 29*f - 21281, -4*f + 12767 = 3*v. What is the units digit of v? 7 Let f = -904 + 454. Let q = f - -816. What is the hundreds digit of q? 3 Let p be (-1039)/(-6 + (-93)/(-15)). What is the hundreds digit of (p/(-20))/((-1)/(-4))? 0 Let d be (-191 - 36/6)*-1. Let z = 886 - d. What is the hundreds digit of z? 6 Suppose 5*n - 15870 = -0*n + 1270. What is the units digit of n? 8 Suppose 2*l = 5*v + 14564, -5*v - v = -7*v. What is the units digit of l? 2 Let c(j) = -228*j - 890. What is the thousands digit of c(-27)? 5 Suppose -2*b = -3*u + 23061, -787*u + 5*b = -790*u + 23019. What is the tens digit of u? 8 Let j = 25406 - 17307. What is the tens digit of j? 9 Let z(y) = -64*y + 67*y + y**2 + y**2 - 3. Let l be z(2). Suppose l*q + 0*q = 1408. What is the hundreds digit of q? 1 Let v(u) = 13 - 64*u - 13 - 22 - 5. What is the tens digit of v(-7)? 2 Suppose -36*v + 29*v = -8750. What is the units digit of v? 0 Suppose -659 = -6*y - 179. Suppose -5*f = 5*x - y, -4*f = -f + 3. Suppose 0 = x*c - 7*c - 210. What is the units digit of c? 1 Let o(n) = -n**2 - n + 5. Let d be o(0). Suppose 20 = -5*v, -22 = -6*r + 5*r + d*v. Suppose -r*s - 20 = -214. What is the units digit of s? 7 Suppose -65*t - 3059097 = -160*t - 21947. What is the thousands digit of t? 1 Let d(i) = -334*i - 138. Suppose 75 = -87*b + 72*b. What is the units digit of d(b)? 2 Suppose 0 = -10*o + 7*o - 162. Let c = o + 60. What is the tens digit of (-1)/(-2) + 813/c? 3 Let b = -7366 + 15692. What is the hundreds digit of b? 3 Let q(a) = -a**3 - 4*a**2 - 3*a + 2. Suppose -90*y + 92*y + 8 = 0. Let i be y - (6 + (-2 - 2)). What is the units digit of q(i)? 2 Suppose 3*k - 22 = 29. Let y = 66 - k. Let b = 24 + y. What is the tens digit of b? 7 Suppose 0 = 3*f - 3427 - 1163. Let s(x) = f*x + 8 + 3*x**2 - 1512*x + 5. What is the tens digit of s(-8)? 6 Suppose -2330*g - 5 = -2331*g. Suppose -2*i + 4*x = -2976, -7500 = -g*i - x - x. What is the tens digit of i? 9 Suppose 2*j - 5*k - 161 = 224, -4*j = 5*k - 815. Suppose 0 = -4*q - 3*x + 5, -q - q + 5*x + 9 = 0. Suppose 0 = -q*v - 3*v + j. What is the units digit of v? 0 What is the thousands digit of 14/35 + -2 + (-7)/((-175)/289165)? 1 Let x(s) = 437*s - 469. What is the thousands digit of x(20)? 8 Let f = -87369 - -166187. What is the ten thousands digit of f? 7 Let x(g) = 2*g**2 + 13*g + 18. Let f be x(-21). What is the tens digit of (1 - (-8 + 11)) + f + 1? 2 Suppose 270*m + 1190483 = -142*m + 3872191. What is the tens digit of m? 0 Let o = -4659 + 6963. What is the tens digit of o? 0 Let n be (-20)/(-6) + 4/6. Let p be (8/10)/(26/(-65))*-27. What is the units digit of (p/(-12))/((-6)/n)? 3 Let c(a) = 2*a**2 - 18*a - 5. Let z = -81 - -80. Let d(x) = -12*x**3 - 1. Let h be d(z). What is the units digit of c(h)? 9 Let z be 18*1*(-11)/(-66). Suppose 4*q - f = -5*f + 3764, 5*q - 4665 = z*f. What is the tens digit of q? 3 Let f = -266 - -271. Suppose -1757 = -4*c - 5*z - 228, -3*z + 1895 = f*c. What is the units digit of c? 6 Suppose 4*v = -77*v + 13*v + 756772. What is the hundreds digit of v? 1 Suppose 157*p + 1306810 = 7580687. What is the units digit of p? 1 Suppose 0 = -83*h - 268066 + 782293 + 295853. What is the units digit of h? 0 Let u be 3/(-4) + 2778/24. Let f = u + -88. What is the units digit of f? 7 What is the tens digit of ((-178273)/36 - 4/18)/(582/(-1552))? 0 Let r(k) = 3*k**2 + 210*k + 1512. What is the hundreds digit of r(-88)? 2 Suppose -4*z + 299 - 303 = 0. What is the tens digit of (4 - -3) + z - -1530? 3 Let l(i) = -2*i**3 - 36*i**2 - 29*i - 7. What is the ten thousands digit of l(-27)? 1 Let g = -472 - -848. Let a = -237 - -15. Let z = g + a. What is the tens digit of z? 5 Let l(n) = n**3 - 54*n**2 + 26*n + 224. What is the hundreds digit of l(55)? 6 Let a(b) = -326*b - b**3 + 331*b - 3*b**2 - 4 + b**3 + b**3. Let n be a(2). Su
{ "pile_set_name": "DM Mathematics" }
. What is the units digit of y? 2 Suppose -255 = -4*w + 3*c, 2*w - 195 = 2*c - 69. What is the tens digit of w? 6 Suppose 3*w + 877 = -290. Let i = 633 + w. What is the hundreds digit of i? 2 Let x be (-2570)/22 - 12/66. Let q = x + 202. What is the tens digit of q? 8 Suppose 3 = -5*l - 12. Let c be (-25 + 12/l)*1. Let o = c - -41. What is the units digit of o? 2 Suppose 131 = -4*t + 975. Suppose 3*l + 0*l = 2*o - t, 541 = 5*o - 3*l. What is the hundreds digit of o? 1 Let x(t) = -9*t**2 + 10*t + 16*t + 3 + 11*t**2 + 3*t**2. What is the hundreds digit of x(3)? 1 What is the tens digit of 4/(90/(-120) + 11/12)? 2 Let n(z) = -z**3 - 7*z**2 - 2*z - 8. Let j be n(-7). Let g = -55 - -55. Suppose -p - 4*w = -63, g = -p + j*p - 4*w - 267. What is the units digit of p? 5 Suppose -53*j = -51*j + 30. Suppose 14 = c - 2. Let t = j + c. What is the units digit of t? 1 Let o be ((-2)/(-10)*5)/((-2)/(-474)). Let q = o - 95. What is the tens digit of q? 4 Let c(o) = 38*o + 147. What is the tens digit of c(11)? 6 Let s(h) = h**2 + 4*h - 10. Let k be s(-6). Suppose -5*d = -d. Suppose -3*z + 5*q - k = -2*z, d = -z + 2*q + 10. What is the tens digit of z? 1 Let a(v) = v**3 + 24*v**2 + 38*v + 54. What is the tens digit of a(-18)? 1 Let g(t) = t**2 + t. Let y be g(-3). Suppose -26 = 3*j + 2*s, y*j - 2*j + 58 = 2*s. What is the units digit of (27/(-4))/3*j? 7 Let p = 55 - 46. Suppose -1443 = -p*v - 219. What is the units digit of v? 6 Suppose 0 = -4*n - n + 30. Suppose 0 = -4*o + n - 30. Let i = -1 - o. What is the units digit of i? 5 Let g(r) = -2*r**3 - 9*r**2 + 5*r. Let k be g(-5). Let z(m) = m + 48. What is the tens digit of z(k)? 4 Let t be (-1023)/(-11)*(-2)/(-6). Let c = t - -7. What is the units digit of c? 8 Let c(v) = -v. Let z(w) = -6*w. Let d(n) = -5*c(n) + z(n). Let y be d(-2). Suppose 6*s - y*s = 116. What is the tens digit of s? 2 What is the units digit of 147*((-4)/(-12) - -6)? 1 Let m be (-6 - 9/(-3))*-1. Suppose 3*z - 99 = -5*v, m*z + 4*v = 6*v + 78. What is the tens digit of z? 2 Suppose -9*b + 7 = -8*b - 2*w, w = b - 10. What is the units digit of b? 3 Let w = -2 - -4. Suppose 3*z - 50 - 65 = -2*u, 3*z - 15 = 0. Suppose 0 = 2*r - 5*v - 40, w*r - 6*r - 5*v = -u. What is the units digit of r? 5 Suppose -19049 - 931 = -12*h. What is the tens digit of h? 6 Suppose l - 4*l + 99 = 0. Suppose 0 = 5*a + 4*r + 78, -2*a + 2*r - 3*r = l. What is the units digit of 3 - a*(4 - 3)? 1 Let h(g) be the first derivative of 7*g**2/2 + 20*g + 16. What is the units digit of h(6)? 2 Suppose -4*v + 2856 = -5*a, -5*v + 2674 + 891 = -5*a. What is the units digit of v? 9 Suppose -50 = 4*j - 6. What is the units digit of (4 - (j + -2)) + -2? 5 Suppose j + 77 + 7 = 0. Let q be 1 - (-986)/(-8) - 5/(-20). Let g = j - q. What is the tens digit of g? 3 Let f(v) be the second derivative of v**5/10 - v**4/6 + v**3/6 + 3*v**2/2 - v. Let s be f(2). Suppose -n + 53 = s. What is the units digit of n? 0 Let l(u) = u**3 + 5*u**2 + u - 3. Let b be l(-5). Let n(k) = k**3 + 9*k**2 - 2*k - 4. Let o be n(b). Suppose -4*h - o = -200. What is the tens digit of h? 3 Suppose 3 = 3*r - 12. Suppose -2*h = 0, 5*h - 372 = o - r*o. What is the units digit of o? 3 Let u(f) = 34*f**2 + 4. Suppose 3*m + 2*b + 6 = 4*m, 5*m + 2 = 2*b. What is the units digit of u(m)? 0 Let a(d) = -2*d**2 - 3*d - 17. Let v(y) = -5*y**2 - 9*y - 50. Let q(t) = 8*a(t) - 3*v(t). What is the units digit of q(5)? 4 Let h(x) = 622*x**2 + 13*x + 49. What is the units digit of h(-3)? 8 Suppose 15*x - 10*x - 674 = 4*n, -n + 535 = 4*x. What is the tens digit of x? 3 Let y = 13 - 8. Suppose 4*h - l = -0*l, y*h = -l. What is the units digit of h/(-5) + 1*16? 6 Suppose 4*w - 6 = 2*w. Let a(n) = -n**3 + n + 6 + 2*n**2 - 4 + 0 - w. What is the units digit of a(2)? 1 Let v(c) = -4*c**3 - 6*c**2 + 4*c + 42. What is the thousands digit of v(-8)? 1 Let z be 1/1 - (23 + -5). Let p = 19 + z. What is the units digit of -10 - -17 - (p + 0)? 5 What is the units digit of 56/(-14)*(16650/(-24))/5? 5 Let p be (-4 + (-36)/(-4))*1. Suppose p*x - 447 = w, 0*x + 5*w + 75 = x. What is the tens digit of x? 9 Let v be (-6)/(-8)*(-8 + 8 + 12). Let d(s) = s**2 + 4*s - 51. What is the tens digit of d(v)? 6 Let z be (5 + -1 + -5)*125*2. Let l = 362 + z. What is the tens digit of l? 1 Suppose 5*c + 99 + 186 = 0. Let a = 113 + c. What is the units digit of a? 6 Let n = 1070 - 715. What is the tens digit of n? 5 Let g(c) = 141*c - 9. Let b be g(1). Let m = 320 - b. What is the units digit of m? 8 Let g(n) = 5*n + 7*n + 2 - n**2 + 0 + 1. What is the units digit of g(9)? 0 Suppose -36 = 11*m + 63. What is the units digit of 56 + (-16)/9 + 2/m? 4 Suppose 22*j + 2448 = 26*j + 5*h, j = 3*h + 629. What is the units digit of j? 7 Let o = 7 + -277. Let n = -159 - o. What is the hundreds digit of n? 1 Suppose 36*f = 132*f - 72672. What is the tens digit of f? 5 Let b = 43 + -39. Suppose 0 = a - 6*a + 5*k, 0 = -2*k. Let s = a + b. What is the units digit of s? 4 Let o be -1 + 0 - (-1)/((-5)/5). Let k(n) = 0 - 2*n + 0 + 1. What is the units digit of k(o)? 5 What is the hundreds digit of (10212/(-16))/((-12)/16)? 8 Let k(d) = -d + 27. Let t be k(14). Let j = -13 - -13. Let m = j + t. What is the tens digit of m? 1 Let y(k) = -8*k + 40. Let n(s) = -3*s + 13. Let l(m) = -11*n(m) + 4*y(m). What is the units digit of l(-13)? 4 Suppose 4*x + 2*z - 4*z = 58, -2*x = z - 27. Let f = x + -16. What is the tens digit of f/4 - (-318)/12? 2 Let w = 326 + 433. What is the hundreds digit of w? 7 Let q(g) = 3*g**2 + 61. What is the tens digit of q(-8)? 5 Let j(r) = r**3 - 12*r**2 + 43*r + 1. What is the units digit of j(7)? 7 Let z(r) = r + 1. Let b be z(-9). Let w be -2 - b/2 - -2. Suppose 5*n - 3*u = w, 2*n - 3*n = -2*u + 2. What is the units digit of n? 2 Suppose -5*s - 6*y + 2*y - 6 = 0, 5*s - 5*y = 30. Suppose -n = -0*n - s. Let w = n - -9. What is the tens digit of w? 1 Let u(p) = p**3 + 22*p**2 + 55*p + 29. What is the tens digit of u(-16)? 8 Let z = -68 + 36. What is the units digit of -27*(z/(-12) + -4)? 6 What is the tens digit of 26128/44 - 3*(-4)/66? 9 Suppose -25*p - 4*p + 64612 = 0. What is the hundreds digit of p? 2 Let g be (-2)/(-12) - (-214)/12. Let m = g + -36. What is the units digit of (-52)/m*-3*-6? 2 Suppose 4*i - 14069 + 1411 = -5*g, 2*g = -2*i + 5064. What is the thousands digit of g? 2 Let b be (6128/(-48))/((1 + 0)/3). Let p = -234 - b. What is the tens digit of p? 4 Let f = -1119 + 2120. What is the hundreds digit of f? 0 Suppose -3*b = -8*b + 3765. Suppose -b = -5*j - 158. What is the tens digit of j? 1 Suppose -7*m + 408 = -3*m. Suppose -6*u + 146 = -208. Let f = m - u. What is the units digit of f? 3 Suppose -3*j + 12 = 3*v, 4*j + 0*j = -v + 13. What is the tens digit of (-5)/((-3)/(v - 13))*-1? 2 Suppose 0 = -3*d - 0*z - 5*z + 16, 3*d - 5*z + 4 = 0. What is the tens digit of ((-22)/8)/(d/(-72))? 9 Let m(u) = 3*u + 10. Suppose 3*y + 7 + 2 = 0. What is the units digit of m(y)? 1 Let b = -42 - -43. What is the tens digit of 3/15 - (-1977)/15*b? 3 Suppose -14*b - 27048 = -37*b. What is the units digit of b? 6 Let z(o) = 74*o**2 + 2*o + 45. What is the thousands digit of z(-9)? 6 Let y be ((-3)/9)/((-9)/243). What is the units digit of ((-14)/6)/(y/(-162))? 2 Let i = -143 + 151. Suppose p + i = 223. What is the hundreds digit of p? 2 Suppose 2*m = 0, 2*d = -0*d - 5*m. Let f = -1 + 3. Suppose 13 = f*c - 3*r, d*c - 10 = -c - 2*r. What is the units digit of c? 8 Suppose 13*k + 768 = 2783. What is the tens digit of k? 5 What is the units digit of (-19005)/(-28) + 15/(-20)? 8 What is the units digit of (2824/6)/(4/6)? 6 Let n = 234 + -85. Suppose 2*j - n = 1. What is the units digit of (0 + j/10)*4? 0 Suppose -17584 = -26*h + 39408. What is the tens digit of h? 9 Let p(y) = 4*y - 18. Let u be 2 - (-4 - 8) - 4. What is the units digit of p(u)? 2 Let h(w) = w + 8. Let n be h(-7). Let v be 3 - n - (4 + -2). What is the units digit of v - (-17 + 2/1)? 5 Let y(n) = -n**3 - 4*n**2 + 45*n + 87. What is the thousands digit of y(-17)? 3 Suppose 2*o + 15 = 3*j, -o + 4 = -4*j + 24. Suppose y = 4, j*s + 3*y = -19 + 216. What is the units digit of s? 7 Let n(m) = 7*m**2 + 2*m - 2. Let c be n(1). Suppose -4*a + c*a = 72. What is the units digit of a? 4 What is the tens digit o
{ "pile_set_name": "DM Mathematics" }
om iik. What is prob of picking 1 i and 1 k? 2/3 Two letters picked without replacement from oephhcc. Give prob of picking 1 c and 1 h. 4/21 What is prob of picking 3 w when three letters picked without replacement from wwhnwhwnhhw? 2/33 Four letters picked without replacement from nznunrznnrnnn. What is prob of picking 2 r and 2 n? 28/715 What is prob of picking 2 q when two letters picked without replacement from {q: 2, s: 2, z: 1}? 1/10 What is prob of picking 1 s and 1 y when two letters picked without replacement from gsysgpyvgygpgg? 6/91 Calculate prob of picking 1 v, 1 q, and 1 j when three letters picked without replacement from {v: 1, j: 2, l: 1, q: 1}. 1/5 Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {o: 1, w: 1, z: 6, t: 1, c: 3, d: 3}. 1/105 Three letters picked without replacement from {e: 1, j: 2, x: 3, q: 1}. Give prob of picking 1 e and 2 j. 1/35 What is prob of picking 2 f when two letters picked without replacement from {i: 2, s: 6, f: 3, z: 1, n: 6, l: 2}? 3/190 Calculate prob of picking 2 g and 2 u when four letters picked without replacement from {u: 3, t: 5, q: 1, g: 3}. 1/55 Three letters picked without replacement from vvvphwwpphrv. What is prob of picking 2 p and 1 r? 3/220 What is prob of picking 1 x and 2 a when three letters picked without replacement from arbxavara? 1/14 Three letters picked without replacement from {z: 2, e: 2, s: 1, f: 1, m: 1, g: 1}. What is prob of picking 1 g and 2 e? 1/56 Two letters picked without replacement from jewzjjwwwzww. What is prob of picking 2 j? 1/22 Four letters picked without replacement from vvvavvavvvavvvavav. Give prob of picking 4 a. 1/612 Three letters picked without replacement from {b: 7, o: 1, c: 2}. Give prob of picking 3 b. 7/24 Two letters picked without replacement from mxxxxfmxffxmmff. What is prob of picking 1 x and 1 f? 2/7 Three letters picked without replacement from {r: 6, f: 2, n: 1, t: 4}. What is prob of picking 1 n and 2 r? 15/286 Two letters picked without replacement from {g: 2, p: 1, c: 2, s: 2, f: 4, e: 3}. Give prob of picking 1 e and 1 c. 6/91 What is prob of picking 1 t, 2 u, and 1 h when four letters picked without replacement from hthuhhuut? 4/21 What is prob of picking 1 x and 1 p when two letters picked without replacement from {o: 9, x: 1, q: 1, b: 4, p: 3}? 1/51 Three letters picked without replacement from ssnsqqqqsrrqqnrqnpq. What is prob of picking 1 q, 1 s, and 1 p? 32/969 Calculate prob of picking 2 e when two letters picked without replacement from {e: 11, a: 5}. 11/24 Calculate prob of picking 2 o when two letters picked without replacement from {j: 5, o: 3}. 3/28 Three letters picked without replacement from {c: 6, t: 4, g: 1, z: 1, v: 3, m: 4}. What is prob of picking 1 m, 1 z, and 1 t? 16/969 Calculate prob of picking 2 t when two letters picked without replacement from ttmtttmttmmmtmtttt. 22/51 What is prob of picking 2 j when two letters picked without replacement from jrj? 1/3 What is prob of picking 2 y when two letters picked without replacement from {u: 1, y: 5, a: 7}? 5/39 What is prob of picking 3 d when three letters picked without replacement from bodzeezebdbdzzddez? 5/408 Four letters picked without replacement from {a: 5, d: 14}. Give prob of picking 4 a. 5/3876 Two letters picked without replacement from {v: 1, k: 1, x: 1, t: 1, d: 1}. Give prob of picking 1 k and 1 d. 1/10 Two letters picked without replacement from rlchlllbhllrrclr. Give prob of picking 1 h and 1 b. 1/60 Three letters picked without replacement from qqwqwwuucq. Give prob of picking 2 w and 1 q. 1/10 What is prob of picking 1 z and 3 n when four letters picked without replacement from {z: 14, n: 1}? 0 What is prob of picking 2 v when two letters picked without replacement from pppvvqvqpqqevqe? 2/35 Three letters picked without replacement from appbbbapapapp. Give prob of picking 1 a, 1 p, and 1 b. 36/143 Four letters picked without replacement from caocboooococcococacc. Give prob of picking 1 b and 3 c. 28/1615 What is prob of picking 1 a, 1 h, and 1 e when three letters picked without replacement from fhuehaei? 1/14 What is prob of picking 1 j and 1 t when two letters picked without replacement from {m: 1, j: 2, p: 3, n: 1, t: 3}? 2/15 Three letters picked without replacement from {c: 1, q: 2, l: 1, j: 2, a: 1, i: 1}. Give prob of picking 3 q. 0 Four letters picked without replacement from {u: 5}. Give prob of picking 4 u. 1 What is prob of picking 2 o and 1 k when three letters picked without replacement from {p: 3, k: 2, b: 4, v: 2, o: 3, i: 1}? 6/455 Two letters picked without replacement from {a: 10, b: 9, e: 1}. What is prob of picking 1 b and 1 a? 9/19 Two letters picked without replacement from uqqullpqqqplq. What is prob of picking 1 q and 1 p? 2/13 Calculate prob of picking 1 a, 2 y, and 1 o when four letters picked without replacement from {e: 3, y: 2, o: 4, a: 9}. 1/85 Calculate prob of picking 1 n, 1 j, and 2 u when four letters picked without replacement from nnjnjeujnnejeunnenn. 3/323 Three letters picked without replacement from qqqqqqqqvqqqv. What is prob of picking 1 q and 2 v? 1/26 Four letters picked without replacement from {y: 4, j: 6}. Give prob of picking 2 y and 2 j. 3/7 Calculate prob of picking 4 s when four letters picked without replacement from ssss. 1 Calculate prob of picking 2 e and 1 p when three letters picked without replacement from eeeepeeepeeepp. 45/91 Two letters picked without replacement from {s: 3, y: 1, j: 6, v: 4, w: 2}. What is prob of picking 1 w and 1 v? 1/15 What is prob of picking 2 y and 1 k when three letters picked without replacement from {p: 2, n: 1, y: 2, j: 1, k: 2}? 1/28 What is prob of picking 1 v, 1 e, and 1 u when three letters picked without replacement from ueeveve? 8/35 Calculate prob of picking 1 g, 1 k, and 1 l when three letters picked without replacement from lmklmmkgml. 1/20 Three letters picked without replacement from fffzfffffffff. What is prob of picking 1 z and 2 f? 3/13 Two letters picked without replacement from xfffttfqqtqqqq. Give prob of picking 1 q and 1 t. 18/91 Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {n: 2, h: 1, k: 1, a: 1}. 1/5 Four letters picked without replacement from {j: 1, t: 2, m: 4, q: 1, g: 2}. What is prob of picking 2 g, 1 j, and 1 t? 1/105 What is prob of picking 1 a and 1 t when two letters picked without replacement from {l: 1, v: 1, a: 2, t: 1}? 1/5 Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {f: 1, c: 1, j: 2, g: 1, l: 2, m: 1}. 1/28 Three letters picked without replacement from pppppppppppkppkppp. What is prob of picking 1 k and 2 p? 5/17 What is prob of picking 1 h and 1 k when two letters picked without replacement from xrxhkkkrkxkqxhkhkx? 7/51 Four letters picked without replacement from feefeffeefeff. What is prob of picking 1 f and 3 e? 28/143 What is prob of picking 2 g when two letters picked without replacement from {q: 16, g: 4}? 3/95 What is prob of picking 1 f, 2 a, and 1 z when four letters picked without replacement from {f: 1, a: 5, b: 2, z: 11}? 55/1938 Four letters picked without replacement from {k: 8, p: 3}. Give prob of picking 1 p and 3 k. 28/55 Calculate prob of picking 1 u and 2 z when three letters picked without replacement from {u: 2, d: 1, h: 4, l: 1, z: 3}. 2/55 Two letters picked without replacement from {h: 2, w: 6}. What is prob of picking 1 w and 1 h? 3/7 Calculate prob of picking 1 r, 1 q, and 2 m when four letters picked without replacement from {r: 3, m: 7, q: 2}. 14/55 Calculate prob of picking 1 f, 1 j, and 2 c when four letters picked without replacement from {r: 4, j: 1, f: 1, c: 4}. 1/35 Two letters picked without replacement from {z: 2, o: 2, f: 2}. What is prob of picking 2 f? 1/15 Three letters picked without replacement from yysslwrsssswssyss. What is prob of picking 1 s, 1 l, and 1 y? 3/68 Two letters picked without replacement from {p: 3, q: 3, f: 3, c: 3, g: 1, k: 1}. What is prob of picking 2 c? 3/91 Calculate prob of picking 1 z and 2 g when three letters picked without replacement from zgzzggzz. 15/56 Three letters picked without replacement from vffvvvf. What is prob of p
{ "pile_set_name": "DM Mathematics" }
e of 24/480*50*-10? -25 Calculate (29/((-110838)/504))/(3/(42/4)). -6/13 Evaluate ((-39)/(-4))/((250/(-200))/((-20)/(-6))). -26 What is (((-8)/(-60))/(16/(-216)))/(45/(-600))? 24 Calculate 38/((-1)/((-4)/(112/(-7)))). -19/2 Calculate ((-3)/(-3))/(((-264)/(-504))/(-11)). -21 Calculate (-18*(-16)/96)/((-1)/3). -9 Calculate ((27675/(-162))/(-205))/(9/6*-1). -5/9 What is the value of ((368/48)/23)/(11/18)? 6/11 0/107*(2/4*-4)/2 0 65*(-4)/((-7)/((-7)/(-10))) 26 What is the value of (2/2)/((-203)/(-174))? 6/7 Evaluate (81/((-34749)/330))/(2/(-26)). 10 Calculate (-1)/((80/(-15))/16*3/(-11)). -11 Calculate 24/(-416)*(-124)/(-186). -1/26 What is the value of (-928)/(-1392)*3/(-34)? -1/17 (2/(-7))/(3/((-3)/2))*-1 -1/7 Calculate ((-68)/(-20))/((-6)/12*(-4)/(-10)). -17 What is (-1)/((4/(-228))/((24/(-36))/2))? -19 What is 4/(((-15)/30)/(1/4))? -2 Evaluate 3/((-6)/110)*(-55)/275. 11 What is the value of 3/(-7)*4*11/(-22)*-7? -6 What is (2400/36)/20*3? 10 Calculate 4/(-3)*(3816/2064)/53. -2/43 What is the value of ((-10)/15)/((-38)/(-19))? -1/3 What is 15*1/2*(-13)/(117/6)? -5 Calculate 119*(-21)/((-4410)/(-30)). -17 What is (((-42)/7)/((-15)/(-70)*1))/(-4)? 7 Calculate (-7)/((-294)/8)*63/6. 2 (2109/(-532))/(-37)*-16 -12/7 (((-35)/63)/(5/6))/(6/(-117)) 13 Calculate 1/(2/(((-90)/(-81))/(-5))). -1/9 Calculate (-9)/90*15*(-16)/8. 3 What is the value of 1/(1*(((-54)/6)/45)/5)? -25 What is (4988/473)/(-29)*((-55)/138)/5? 2/69 Evaluate ((-182)/(-20384))/(6/(-21)). -1/32 Calculate (-2)/((-40)/(-2))*45/(1530/136). -2/5 Evaluate 125/(-50)*(-1*1)/((-5)/(-10)). 5 Evaluate (40/10)/((-77)/11). -4/7 Calculate 450/(-105)*21/9. -10 (6/(-240)*-16*5/29)/(-2) -1/29 12*4/48*((-12)/(-21))/(-1) -4/7 Calculate 104/1274*-7*7. -4 Evaluate (-14)/(-21)*-1*486/(-297). 12/11 What is 2/(-5*6/165)? -11 Calculate 11/(220/4)*0/(-3). 0 Evaluate ((-3)/(-8))/((-420)/280). -1/4 20/16*((-120)/45)/(130/(-6)) 2/13 Calculate (70/210)/(6/81). 9/2 What is 1*2*-3*2648/3972? -4 (207/(-27))/(17/51*1) -23 Calculate ((-4)/((-40)/(-6)))/((-31)/(992/(-48))). -2/5 (150/(-70)*-5*7/(-10))/6 -5/4 What is the value of ((-6)/(-24)*-2)/((-4)/32*-4)? -1 Calculate (((-1344)/(-456))/28)/(-1). -2/19 What is ((-196)/(-84))/((-7)/63)? -21 Calculate (1668/(-695))/(-3*(-2)/30). -12 Evaluate ((-2)/15)/((-18)/(-2)*(-429)/25740). 8/9 What is ((-39)/(-18))/(234/72)? 2/3 80/(-352)*1*3*(-4)/6 5/11 966/(-6)*(18/(-9))/14 23 Calculate 3540/15576*(-32)/10. -8/11 Calculate (-1)/3*(-555)/148*8/15. 2/3 Calculate ((-15)/48)/((1/6)/(173/(-2595))). 1/8 Evaluate 10/4*1275/(-8500). -3/8 Evaluate ((-2)/66)/((-263)/(-2367))*(-8)/6. 4/11 What is 559/(-86)*(-24)/6? 26 What is the value of (8/6)/(612/(-714))? -14/9 What is ((-66)/(-264))/(2/3)? 3/8 -2*((-697)/(-574))/(1/7) -17 Evaluate (36/16)/(-3)*(-44)/3. 11 Calculate (202/1515)/(1*(-2)/18). -6/5 What is (288/(-120))/2*(-100)/(-15)? -8 ((-188)/(-141))/(8/(-3)) -1/2 Calculate ((-1904)/(-816))/(462/(-54)). -3/11 What is ((-9)/480*-4)/(19/(-95))? -3/8 (6288/1440)/131*5/2 1/12 What is ((-41)/615)/((-6)/(-54))? -3/5 What is the value of (3/4)/((36/(-48))/(27/(-18)))? 3/2 -10*((-418)/665)/11 4/7 What is the value of ((-4)/(-10))/(3906/(-105))*16/8? -2/93 2*(-2)/4*21*(-32)/(-48) -14 What is ((-1380)/(-368))/((-2)/8)? -15 Evaluate -9*4/13248*32. -2/23 What is 321/(-4494)*14/18? -1/18 What is ((-99)/(-18))/(-11)*-40? 20 Evaluate ((-99)/(-18))/(17/(-34)). -11 What is (52/4)/(3*(-7)/(-21)*-1)? -13 Evaluate (18/171)/((-21)/(-133)). 2/3 (12/(-330))/(((-11)/45)/11*1) 18/11 (16*31/(-682))/4 -2/11 What is (1/12*18)/(((-63)/66)/7)? -11 What is -6*9/72*(-2)/3*20? 10 What is ((-66)/77)/((-16)/(-24))? -9/7 Evaluate 48/(-40)*29/(377/(-260)). 24 What is 2/(-1*4/(-588)*6*7)? 7 What is 6/8*1060/(-4240)? -3/16 (-9)/(-26)*(-93)/(1674/12) -3/13 (21*(-16)/(-672))/((-1)/(28/2)) -7 What is the value of (16/(-1344)*-21)/(1/10)? 5/2 What is (-6720)/(-3024)*2*9/4? 10 Calculate 3*((-14)/(-147))/(2/(-2)). -2/7 Evaluate ((-2)/45)/(1*-7*(-1)/35). -2/9 What is (-396)/(-495)*5/6*(-30)/2? -10 Calculate -1*4*((-675)/108)/25. 1 Calculate (-1170)/(-78)*(-4)/5. -12 Evaluate (-1353)/(-1845)*5/11. 1/3 ((-3381)/(-105))/23*(-18)/14 -9/5 Calculate (-297)/(-22)*4/27. 2 What is (12/7*1)/(((-4760)/(-49))/20)? 6/17 Calculate ((-4)/6)/((-18)/(-72))*-6. 16 Calculate ((-8)/(-60))/((168/40)/(-7)*-1). 2/9 What is 2*(-13)/(-2)*(-41)/(-205)*-5? -13 What is the value of 7/(-6)*(-50)/(-350)? -1/6 Evaluate 6*(-24)/(288/(-22)). 11 (100/15)/((-50)/60) -8 What is ((-650)/(-585))/(4/6)*3/1? 5 96/4*4*(-5)/40 -12 What is the value of (-3)/(9/32)*1*(-147)/(-98)? -16 77/22*44/(-1463) -2/19 Calculate (3/50)/(6/(-4))*20/6. -2/15 ((-151)/3020)/((-55)/100) 1/11 What is 1488/2790*(-6)/8? -2/5 What is ((495/(-11))/9)/(35/(-2))? 2/7 Calculate -14*((143/(-66))/13)/(1/(-6)). -14 What is the value of (10*(-20)/(-300))/((-5)/9)? -6/5 42845/779*-1*2/(-10) 11 Calculate 4*-1*(-6)/(-4)*265/(-159). 10 Evaluate 75/165*(-37)/(2220/96). -8/11 What is (84/60*(-16)/(-14))/((-1116)/(-1550))? 20/9 (-8)/1*(-93)/124*20/18 20/3 What is the value of 4/3*30*28/(-448)? -5/2 What is -20*16*(-3)/60? 16 What is the value of (2/(-6)*(-510)/170)/((-26)/(-8))? 4/13 Calculate (1/(-4))/((70/8)/(-35))*4. 4 What is ((-12)/10)/(((-6)/168)/(100/(-210)))? -16 Calculate (3*8/72)/(((-25)/(-15))/(-5)). -1 (((-7)/(-5))/((-399)/(-475)))/((-90)/(-8)) 4/27 Calculate (-12*6/54)/4. -1/3 Evaluate 44/(-2728)*(-32)/8. 2/31 Evaluate ((6/6)/(-1))/((-19)/((-190)/(-50))). 1/5 7/((-14)/15)*(360/(-50))/(-6) -9 Evaluate -3*(-30)/(-18)*1/7*7. -5 What is the value of 104/(-130)*(-35)/(-504)*20? -10/9 Evaluate ((-20)/6)/((-415)/1494). 12 What is 35/12*(-10)/8*(-520)/(-2275)? -5/6 Calculate (23/460)/(((-2)/12)/(2/3)). -1/5 Evaluate ((-402)/(-201))/(2/(-15)). -15 What is (6/(-40))/((6/4)/((-124)/93))? 2/15 What is the value of (3/(-6))/((-24)/(-528))? -11 What is the value of ((-60)/32)/((-26)/(4576/(-33)))? -10 Evaluate ((-39)/9)/(48/(-6624)*23). 26 Evaluate 18/(-10)*(-130)/(-78). -3 (4/(-6)*1938/(-1292))/(1/(-27)) -27 What is the value of (40/30)/((-10)/((-90)/(-33)))? -4/11 Calculate 6/7*14/90*(-15)/(-9). 2/9 -1*(18/(-30))/(5/(-50)) -6 What is (-105)/140*32/72? -1/3 Calculate ((-2)/7)/(8658/27972). -12/13 Evaluate ((-55)/(12/(96/(-20))))/2. 11 Evaluate (-1210)/385*(-9)/(-6). -33/7 What is 6*2/(-210)*49/(-105)? 2/75 What is the value of ((-417)/(-973))/(3/(-5))? -5/7 Evaluate (22/110)/((-15)/75). -1 What is (48/(-4800)*-50)/(2/8)*1? 2 What is the value of (-23)/((-46)/12)*(-10)/(-25)? 12/5 Calculate ((-864)/(-7920))/(((-12)/(-10))/(-3)). -3/11 What is (-25)/(-10)*6/15*-7? -7 Evaluate (-8)/44*-11*3/(-2). -3 What is the value of 2310/(-1617)*(-1)/(2/(-21))? -15 Evaluate ((-8)/(352/99))/(15/20). -3 What is the value of ((-420)/14)/((-18)/9)? 15 What is 42/(-90)*(-20)/(-8)? -7/6 Calculate 9*(-14)/35*(-40)/(-48). -3 Calculate (8*1)/((-2104)/6838). -26 Calculate ((-4)/(-3)*-2)/(-2*10/90). 12 Evaluate -9*(1/6)/(143/52). -6/11 Evaluate 3/(-2)*(-1288)/483. 4 What is the value of 36/(-2106)*(-486)/(-27)? -4/13 Calculate ((-2)/(-180))/(2512/25120). 1/9 Evaluate (-4)/(12/9)*(81/(-9))/(-162). -1/6 Evaluate ((-396)/(-517))/(-36)*1. -1/47 What is (-3392)/2544*1*2/(-8)? 1/3 What is ((-1770)/(-236))/(40/128)? 24 What is the value of (7/(-7*(-8)/(-28)))/(2/4)? -7 What is the value of (-77)/154*5/(-3)? 5/6 Evaluate (1935/(-129))/(30/(-2)). 1 Evaluate (((-90)/25)/3)/(1/5). -6 Calculate ((-2255)/1845)/((-77)/210). 10/3 What is (18*(-1)/4)/(3/4)? -6 What is (-637)/(-294)*4/26*(-18)/1? -6 Calculate (-4)/6*117/13*(-3)/(-63). -2/7 What is (((-2)/(-6))/1)/(((-238)/7)/408)? -4 (-4)/(((-138)/(-12))/23) -8 (11/22)/((585/20)/(-9)) -2/13 (((-52)/22)/26)/((-2)/154) 7 What is -3*(-9)/54*-20? -10 What is 1/(2/1)*(-130)/(-208)*2? 5/8 What is the value of 23/(5589/99)*27? 11 What is the value of ((-3)/(120/(-8)))/((-61)/(-5185))? 17 Calculate (90/(-168))/((-57)/76). 5/7 (-77)/3*(-240)/176 35 Calculate 80/8*12/225*-1*-5. 8/3 Calculate (-8694)/(-2093)*(-7)/21. -18/13 Evaluate 10/(-12)*1719/2865. -1/2 What is the value of ((-618)/103)/(18/21)? -7 What is the value of (-7)/((-1764)/18)*(-16)/40? -1/35 4/((-12)/27)*(-3080)/(-1980) -14 Evaluate (2/4)/(126/(-72))*(-7)/(-1). -2 ((-1260)/135)/((-8)/12) 14 Calculate ((-26)/(-18)*(-33)/11)/((-15)/9). 13/5 Calculate
{ "pile_set_name": "DM Mathematics" }
valuate ((1 - 0)/((-3)/36))/((-81)/(-270)). -40 What is (-4)/(-9)*(756/(-21) + (-14137)/(-402))? -10/27 (136/(-187))/((-76)/2717) 26 Calculate 668/(-3674) + (-78)/44 + 2. 1/22 What is the value of (1430/(-6435)*(-15)/230)/(1/(-9))? -3/23 What is the value of (-40)/13050*4785/(-638)? 2/87 ((-5)/(-6))/((-1086722)/6552 + 166) 6 What is the value of ((-3495)/(-41940))/(2/120)? 5 What is the value of -27 + 23 - (213/(-1))/(11 + 238/28)? 90/13 What is ((-26)/((-3796)/3))/(120/(-160))? -2/73 What is the value of 79 + -85 + (-5184)/(-918)? -6/17 Calculate -13 + ((-24)/(-108)*90 - -10). 17 What is 189/14*(4990/(-360) - -14)? 15/8 Evaluate (49844/5131)/(2 + (-72)/14). -34/11 Evaluate 2 - 11/((-462)/(-210)). -3 What is (-404 + -64)*(-30)/(-195)? -72 Evaluate ((-1)/30)/(72/(-66)*(-1639)/(-6705)). 1/8 What is the value of 3*(1495/(-39) + 40)? 5 Calculate (-4 - (3 - 40/5*1)) + (-26586)/26334. -2/209 Evaluate 1/((-6475)/(-250) - 26) + (-2 - 24). -36 -13 + (-465)/(-60) - 2405/(-260) 4 0/353 - 10/((-10)/35*1) 35 What is ((-545)/(-1635))/((-2)/(-111))*-2? -37 What is the value of 45 - (-99)/157014*-71431? -1/26 What is (18/21 + -44 + (-46593)/(-1085))/((-19)/10)? 2/19 Evaluate 20/(-850) - (-34)/(2444940/927). -1/94 Evaluate (-610)/12505 + 154/(-205) + 285/75. 3 Calculate 324 - (-85 + 242) - 111. 56 ((-70)/7)/((-28)/98) 35 Evaluate (-94)/(-11327) - 375314/(-19762). 19 What is ((-35)/(-5) - 6)/(392/399 + -1)? -57 What is the value of 2/3*9 + 32/((-4000)/5375)? -37 (-13)/((-7774)/32214) + (-45)/(-345) 54 What is the value of (16*(-14)/28 - -3)*(-96)/280? 12/7 What is the value of (-58 - -53)*52/2340? -1/9 Evaluate (-888)/(-333)*(-24)/2. -32 ((-2)/10)/((-134)/11390) 17 Calculate (-423)/14382*(5 - 11). 3/17 2/(-40)*608/247*(-295 + 300) -8/13 What is ((-2001)/9744 - 1/(-7)) + 17940/320? 56 (97 - 96)/((-15)/(-465)) 31 What is the value of 46 + (-165)/550*162? -13/5 327/(-11336)*91*(16 + 0) -42 (-37 + (-1044)/(-28))*(-210)/(-12) 5 What is the value of (-134496)/(-13076) + (-1 - 7)? 16/7 Calculate (4086/108 - 38) + (0 - -3) + 1724/(-24). -69 What is the value of (-184)/(-23) + -19 - -29*3/15? -26/5 Evaluate ((-2)/6 - (-182)/756*18) + 238/(-21). -22/3 (-3211 - -3219) + 3/(3*(-9)/186) -38/3 What is (575/207)/((-4747)/(-1128) - (-8)/(-2))? 40/3 Evaluate (-146)/(-15) + 364/(-260) - (2 + (-12)/(-2)). 1/3 2970/24 + (-21)/28 - (-63)/(-36)*8 109 What is (10/(-19))/(72/3132*87)? -5/19 What is ((-99)/(-39))/((-112)/(-63336)*87)? 33/2 Evaluate 20/8 - (4040/320 + -10). -1/8 Calculate ((2 - 5 - 6) + 3)/(22925/1150 + -20). 92 6/(-7) - ((-65348)/(-1736) + -25) -27/2 (54/(-4))/(((-6)/(-29))/((-988)/(-7163))) -9 Evaluate ((-5334)/756 + 8/36)/(8/96). -82 ((-21)/5)/1 - (1054097/(-15010) + 66) 1/38 What is 308/5029 + (-1100)/25850? 2/107 Evaluate (8645/456 - 19) + 409/24. 17 (2*-1)/(714/(-153) + -4) 3/13 Evaluate 589960/10360 + -67 + 10. -2/37 What is (1984/(-372))/((-872)/(-72) + -9)? -12/7 Calculate 6/64 - (-39814)/(-2023488). 2/27 What is 47 + -37 + (-1820)/(-28)? 75 Evaluate 195/273 + (-21)/98*106/(-6). 9/2 What is (-4)/8*(1659/42 + 25)*(-12)/(-9)? -43 What is the value of 39*26/338*(1 - 110/114)? 2/19 Evaluate (-5880)/2646*-5*12/(-100)*(-3)/2. 2 -22*(-87)/2552*304/(-6) -38 What is the value of ((-162)/21)/((-42264)/(-460208))? -84 Calculate 318/(-210) - (2781/7725)/((-2)/10). 2/7 What is (-18)/2*(-71850)/(-25866)? -25 Evaluate (3*(-220)/132)/(26/(-8)). 20/13 Calculate 70/(-55) + (-96726)/3619. -28 What is the value of 328/240 - 2128/3040? 2/3 (-73170)/(-80487)*(-3)/(-15) 2/11 Evaluate (-514)/9766*(-418)/2. 11 Evaluate (-1302)/84 - -15 - 7/(-476)*6. -7/17 Calculate 3/6*-1*-1 + 72/(-120). -1/10 (-2)/(6/(-5))*(-31)/279*9 -5/3 Calculate ((-1344)/(-43680))/((1/1)/(1 - 6)). -2/13 Calculate (63 + (-129312)/2052)*(-1 + -5). 2/19 Calculate 19 + 14 - (-9488)/(-288). 1/18 (2898/(-230) + 15 - (-144)/(-10)) + (-9 - -2) -19 Calculate ((-9918)/(-90) - 54) + (0 - (-24)/(-20)). 55 What is -3*4/28*(-313005)/(-4878)*(-2 + 4)? -55 (72/(-42))/(48659/19306 + (21/(-6) - -1)) -84 What is the value of 11*((-48)/(-627))/8 + (-30589)/(-3439)? 9 Calculate (-444)/5*(-9910)/5946. 148 6/7*6/(-12) - (4 + (-850)/(-238)) -8 Calculate (1527/15270)/(48/(-50) + 1). 5/2 What is the value of (8280/(-3220)*(-42)/90)/((-4)/(-130))? 39 (2/(-28))/(7/252)*-4*84/24 36 What is (-645)/215 + (-106)/(-28) + (-4)/14? 1/2 What is the value of 543070/(-51700)*10 - -105? -2/47 What is -506*(-27)/297 + -52? -6 What is (-2184)/(-312)*54/(-36)? -21/2 (-294)/7791 + 7/28938*-3 -1/26 Evaluate 29/145 - 18923/(-635). 30 -1*(10 + -26 - 896/(-16)) -40 Evaluate (2 + -112)/((-68 - -69)*(-11 + 13)). -55 ((-20)/180*12)/(-7 - 740/(-108)) 9 -2611 - -2558 - 8*-16 75 What is 4/(120/(-126)) - 3 - 1848/(-308)? -6/5 ((-1400)/(-50) - (-115)/(-4))/((-47)/(-8)) -6/47 Evaluate 3*(3560/210 - 17)/((-3)/21)*31. 31 What is the value of ((-7)/(-28))/((-255)/(-1020) - ((-94)/(-48) + -2))? 6/7 Evaluate (-1)/7 + (-4)/(-18)*(-880308)/8316. -71/3 Evaluate ((-159)/2)/(4/40*1575/(-210)). 106 What is (-75680)/(-774) + ((-1240)/90 - -14)? 98 What is the value of (-1020)/(-19890) + 38/(-78)*-43? 21 Calculate 1670214/22287 + (-16)/17. 74 (-524)/(-224) + 6613/(-3112) 3/14 Calculate (-5)/(-25)*-7 + ((-1785)/175 - -12). 2/5 What is the value of 63*(-65)/(15 - -50)? -63 Evaluate (-6840)/315 + 27 + -7. -12/7 What is the value of 2/(-55)*(1554/52 - 122/(371124/(-351)))? -12/11 What is ((-4810)/1110)/((-13)/282)? 94 What is (-154)/56 - ((-2)/(-48)*-10)/(2/6)? -3/2 What is the value of (165168/(-310))/36 + 3*5? 1/5 Calculate 4872/210 - 1260/175. 16 4 + -12 - ((-12)/5 + 920/(-575)) -4 What is 2/(-8) + ((-78)/15 - -5) + 7191/6580? 9/14 What is 58972/(-170506) - ((-1)/(-6) - 25/(-210))? -12/19 What is the value of (-414800)/105225 + ((-16)/(-14))/(2 + 72/(-42))? 4/69 Evaluate (146 + (-301 - -152))/((-12)/(-268)*1). -67 (((-84)/(-77))/(780/990))/(6/4) 12/13 What is the value of (88/198)/(2380/(-396) + 6)? -44 What is (-9)/30 - (-269798)/(-9740)? -28 What is ((-1)/(-7)*2)/(100 - (-10456292)/(-104566))? 97 ((-252)/(-3960))/((-6370)/(-1001)) 1/100 What is the value of 10/(-15)*-12 + (-1705)/186? -7/6 Evaluate (-512)/1184*(24/(-112))/((-168)/(-49)). 1/37 ((-14)/4*24/(6/(-1)))/((-132)/462) -49 What is (-579)/1158*-4*(-4)/23? -8/23 Calculate ((-9)/12 - (-2589)/3900) + (-4)/26. -6/25 Calculate 28/(-8)*15100/(-2114). 25 What is the value of -2 + (-10)/(5/(-1)) - (-225)/(-585)? -5/13 Evaluate -4*((31 - 34) + (-14)/(-12)*10902/644). -67 What is the value of (-8417448)/197064 - -3*(-6)/63? -43 What is 7 + (8742/1395)/(24/(-20))? 16/9 What is the value of ((-447)/(-18) + 0)/22 - 17090/13672? -4/33 2 + (-1841)/(-280) - -12*612/(-864) 3/40 What is 332*((-162)/(-27) - -2 - (-264)/(-32))? -83 (-34 - (-44 + 9552/960)) + (-2322)/40 -58 Evaluate (-3 + 519/18)*(-1)/(-3)*1170/(-1300). -31/4 (-108)/24*(1078/42 + -23) -12 Calculate (-60)/25*((-102)/(-9) - 13). 4 What is (-10*1 + (-891)/(26 - 125))/(2/134)? -67 What is 19 + ((-40)/(-3))/(-5)*(-261)/174 + -5? 18 357/105 + 999/(-270) -3/10 (25 - (-21)/((-210)/395)) + 22 15/2 What is the value of 366/183*((-39)/6 + (-2)/(-4))? -12 (59/(-14868)*-72)/(2/((-210)/(-27))) 10/9 What is the value of 190/35 + 42780/1610? 32 What is the value of 3454*3/7623 + (10/105)/1? 16/11 What is the value of (-215)/50*16 - (-422)/(-2110)? -69 (3 + -22 + 23 + (4 - (-18)/(-15)))*5 34 Evaluate (-50)/(-6)*(12 - -2 - 20). -50 (((-11)/(-4))/(8/(-8)))/(1617/(-2772)) 33/7 Calculate (-141)/1644*6 - 394/(-788). -2/137 What is (1080/(-80))/(-5*39/(-130))? -9 (((-780)/9)/2)/((-180)/540) 130 Evaluate 11/(22/13) - (6/57 + (-930)/(-190)). 3/2 What is ((-9633)/1014 - 6/(-4)) + 196/25? -4/25 What is the value of (-3)/2 + ((-25474)/188 - -99)? -38 (-8075)/(-6225) - (-876)/24236 4/3 2/(-9)*(-13 - -11)*144/32 2 What is ((-2234680)/(-320))/161 + -43? 3/8 What is 2509/(-27599) + -3*(-8)/1353? -3/41 Evaluate (-51648)/3766*((-1)/(-3)*-7)/((-42)/63). -48 Evaluate (462/(-98) + (-10)/(-2))/(24365/(-3101)). -2/55 What is the value of ((-84480)/(-100))/(-44)*(-4 + (-44)/(-6))? -64 What is 230/(-575) - 334/(-35) - 10 - 83/(-56)? 5/8 What is (-12996)/2640 + (-240)/330 - (3 + 65/(-20))? -27/5 Calculate (88 + -59 + 4389/(-147))/(((-52)/14)/(-2)). -6/13 Calculate (174/(-957)*121/4 + 18)*(-4 + 0). -50 Evaluate 5*3
{ "pile_set_name": "DM Mathematics" }
n**t. Let m(z) = z**2. What is m(x(f))? 81*f**4 Let k(y) = 6*y + 2578*y**2 - 6*y - 2580*y**2. Let l(w) = -2 - 6*w + 2. Determine k(l(g)). -72*g**2 Let f(d) = -18*d. Let p(c) be the second derivative of 0 - 10*c + 0*c**3 + 0*c**2 - 1/6*c**4. What is p(f(j))? -648*j**2 Let a(c) be the first derivative of -c**2 - 1. Let k(n) be the second derivative of -9*n + 1/2*n**3 + 0*n**2 + 0. Determine a(k(p)). -6*p Let d(h) be the first derivative of 26*h**3/3 + 518. Let p(f) = 15*f. Calculate d(p(j)). 5850*j**2 Let r(a) = -a. Suppose -2*b + 0*b = -12. Let j(h) = 3*h. Let u = 165 - 164. Let m(i) = b*r(i) + u*j(i). Let p(c) = 13*c. Give m(p(l)). -39*l Let d(s) be the second derivative of 0 + 0*s**3 + 1/6*s**4 - 5*s + 0*s**2. Let q(i) = 2*i**2 - 4 + 4 - 6*i**2. Give d(q(v)). 32*v**4 Let p(b) = -8*b**2 - 3*b**2 + 5*b - 5*b. Let n(f) = 2. Let l(q) = q**2 + 2. Let j(u) = -l(u) + n(u). Calculate p(j(v)). -11*v**4 Let b(p) = -14*p**2. Let y(k) = -19*k**2 - 24*k + 4. Let f(v) = 780*v**2 + 990*v - 165. Let r(a) = -4*f(a) - 165*y(a). What is b(r(c))? -3150*c**4 Let b(k) = k**2. Let w(f) be the third derivative of f**5/30 - 5*f**3/6 + 9*f**2. Let n(d) be the first derivative of w(d). Determine n(b(s)). 4*s**2 Let x = -43 - -60. Let g(b) = -22*b**2 + 63*b**2 - 20*b**2 - x*b**2. Let d(f) = -8*f**2. Give g(d(c)). 256*c**4 Suppose 5*f - 14 = 4*g - 37, g - f = 7. Let r(p) = 4*p - g*p + 8*p - 3*p**2. Let j(x) = 0*x**2 + 2*x**2 - 3*x**2. Give j(r(k)). -9*k**4 Let u(c) = 116*c**2 - 12*c. Let r(m) = -2*m + 66. Calculate r(u(p)). -232*p**2 + 24*p + 66 Let t(s) = 11*s**2. Let n(k) = k**2 - 5*k - 5. Let x(l) = -3*l - 3. Let v(h) = -3*n(h) + 5*x(h). What is t(v(w))? 99*w**4 Let r(y) be the third derivative of y**6/120 + 5*y**4/12 + 2*y**2. Let f(g) be the second derivative of r(g). Let i(l) = -l. Give i(f(b)). -6*b Let o(y) = 3*y**2. Let k(f) = -120*f**2 - 180. Let s(t) = -t**2 - 2. Let x(p) = k(p) - 90*s(p). Give x(o(h)). -270*h**4 Let d(q) = -14*q**2. Let z(b) = -9*b. Let y(m) be the first derivative of 5*m**2/2 + 11. Let o(i) = -11*y(i) - 6*z(i). Calculate d(o(g)). -14*g**2 Let j(i) = i - 593. Let w(d) = 59*d. Determine j(w(t)). 59*t - 593 Let m(k) = -63*k + 1. Let a(x) = 11*x - 1. Let f(u) = 4*a(u) + m(u). Let d(l) = 3*l. What is f(d(y))? -57*y - 3 Let y(c) be the first derivative of 7*c**2 + 44. Let w(k) = -91*k. What is w(y(v))? -1274*v Let i(n) = 1. Let x(s) = 5*s + 13. Let z(b) = 5*i(b) - x(b). Let t(o) = 2*o + 3. Let v(m) = 8*t(m) + 3*z(m). Let u(c) = 20*c. Give u(v(h)). 20*h Let y(q) = q**2. Let t(p) be the third derivative of p**6/72 + 11*p**4/24 + 12*p**2. Let v(a) be the second derivative of t(a). What is v(y(c))? 10*c**2 Let i(k) = -k**2. Let d(b) = 675*b + 27. Let p(r) = -337*r - 12. Let s(q) = -4*d(q) - 9*p(q). Determine i(s(n)). -110889*n**2 Let q(u) be the second derivative of 2*u**3 + u. Let c(x) = 6*x - 105. Let l(s) = -5*s + 90. Let j(t) = -6*c(t) - 7*l(t). What is q(j(n))? -12*n Let a(o) = 3*o**2 + 4*o. Let u(r) = 2*r**2 + 3*r. Suppose 10 = 5*f, -4*i - 3*f + 5*f - 20 = 0. Let m(b) = i*u(b) + 3*a(b). Let z(j) = j**2. Determine z(m(t)). t**4 Let m(b) = -9*b. Let x(o) = -o + 2. Let p(k) be the second derivative of k**2/2 - 2*k. Let q(r) = 2*p(r) - x(r). Calculate q(m(w)). -9*w Let q(z) = -1. Let s(o) = 5*o - 35. Let g(t) = 140*q(t) - 4*s(t). Let y(d) = 0*d + 0*d**2 + 0*d - 2*d**2. Calculate y(g(c)). -800*c**2 Let o(s) = 8*s + 5. Let i(d) = 15*d + 9. Let j(n) = 5*i(n) - 9*o(n). Let k(a) = 14*a + 5*a - 12*a + 0*a. Determine k(j(r)). 21*r Let g(s) = 2*s. Let a(i) be the second derivative of i**6/72 - 5*i**4/24 - 7*i**3/2 - 3*i. Let o(t) be the second derivative of a(t). Determine g(o(w)). 10*w**2 - 10 Let n(i) = -154*i**2. Let y(b) = 331*b. Calculate n(y(s)). -16872394*s**2 Let y(p) = -12*p**2. Let l(n) be the third derivative of -n**5/15 - 45*n**2 + 1. What is y(l(i))? -192*i**4 Let n(a) be the second derivative of 0 + 7*a + 0*a**4 - 1/60*a**5 + 5/2*a**2 + 0*a**3. Let x(i) be the first derivative of n(i). Let f(q) = 5*q. Give f(x(d)). -5*d**2 Let j(m) = -2*m - 2. Let i(n) = -4*n + 4. Let w(g) = -i(g) - 2*j(g). Let r(f) be the second derivative of f**3/6 + 10*f. Give w(r(u)). 8*u Let g(c) = -2*c. Let x(r) = r**2 + 4*r - 7. Let t be x(3). Let b(w) = 8*w**2 - t*w**2 - 6*w**2 + w. Determine g(b(o)). 24*o**2 - 2*o Let m(t) = -2*t. Suppose -14*g = -0*g - 0*g. Let b(h) be the third derivative of 0*h + g - 2/15*h**5 - 4*h**2 + 0*h**3 + 0*h**4. Calculate m(b(p)). 16*p**2 Let y(t) be the third derivative of t**5/15 + 10*t**2. Let r(n) = -5*n**2 + 11*n**2 - 7*n**2. What is r(y(d))? -16*d**4 Let m(h) = -2*h - 12. Let d(s) = s - 6. Give d(m(i)). -2*i - 18 Let b(v) = v + 45. Let k(h) = h**2. Let q(i) = 2*i**2. Let x(o) = 8*k(o) - 3*q(o). Determine x(b(z)). 2*z**2 + 180*z + 4050 Suppose 9*g = 4*g + 15. Let f(l) = 244*l - 3 + g - 247*l. Let x(a) = -6*a. What is f(x(m))? 18*m Let y(r) be the third derivative of r**5/60 + 63*r**2. Let i(j) = -6*j**2 + 48*j. Give y(i(o)). 36*o**4 - 576*o**3 + 2304*o**2 Let y(i) = 2*i**2. Let o(g) = g - 2. Let j(a) = -3*a + 9. Let c(t) = 2*j(t) + 9*o(t). Let h be c(1). Let q(v) = -h - 8 + 11 + 3*v. Give q(y(x)). 6*x**2 Let j(m) = -2*m. Let c(d) = -7*d**2 + 2*d**2 - 18 + 7*d**2 + 8*d**2. Determine j(c(h)). -20*h**2 + 36 Let f(q) = 3*q. Let n be -1*(3/(-3) + -1). Let t(r) = -26*r**2 + 15*r**n + 12*r**2. What is t(f(v))? 9*v**2 Let t(a) = 3*a**2 - 12 + 31 - 19. Let z(v) = 3*v**2 + 8*v**2 + 6*v**2 + 11 - 3*v**2. Let s(w) = -7*w**2 - 6. Let g(d) = 11*s(d) + 6*z(d). Calculate g(t(x)). 63*x**4 Let b(s) = s**2. Let l = 19 - 6. Let h(v) = -15*v - l*v + 22*v. Calculate b(h(i)). 36*i**2 Let g = 5 - 3. Let v(x) = -5*x - 13 + 13 + g*x. Let y(p) = 2*p**2. Give y(v(b)). 18*b**2 Let i = 39 - 39. Let b(t) = i*t - t + t - 8*t**2. Let a(j) = 3*j**2. Determine a(b(u)). 192*u**4 Let b(q) = -109171*q + 109171*q + 1 + 22*q**2. Let r(y) = 2*y. Give b(r(u)). 88*u**2 + 1 Let n(h) be the third derivative of h**5/30 - 66*h**2. Let u(q) = -4*q. Determine u(n(m)). -8*m**2 Let r(m) = 387*m + 1. Let i(g) = -56*g + 5. Let k(o) = -67*o + 6. Let t(f) = -6*i(f) + 5*k(f). What is t(r(a))? 387*a + 1 Let s(l) = 7*l**2 + 4 - 4. Let y(v) = 7*v**2 - 25*v + 5. Let q(c) = 3*c**2 - 10*c + 2. Let w(h) = 5*q(h) - 2*y(h). Calculate w(s(k)). 49*k**4 Let m(g) = 89*g - 2. Let t(d) = 1154*d + 2. Calculate t(m(i)). 102706*i - 2306 Let g(w) = -w - 9*w - 16*w + 4*w - 9*w. Let q(d) = 4*d. Give g(q(p)). -124*p Let s(q) = 3*q**2 + q + 1. Let o(m) = 17*m**2 + 5*m + 5. Let u(j) = 3*o(j) - 15*s(j). Let y(p) = 22*p**2. Calculate u(y(g)). 2904*g**4 Let x(j) = -6*j. Let c(p) = 4*p + 22703 - 22703. What is c(x(g))? -24*g Let n(q) = -3*q - 30. Let a(m) = -90 + 47 + m + 43. Give n(a(w)). -3*w - 30 Let x(q) = -4*q + 3. Let b(f) = -17*f + 13. Suppose -156 = -35*v + 29*v. Let d(w) = v*x(w) - 6*b(w). Let c(u) = -19*u. Give d(c(m)). 38*m Let u(q) be the second derivative of q**3/6 - 6*q - 11. Let v(j) = -351*j**2. Give u(v(r)). -351*r**2 Let t(l) = -740285*l. Let w(m) = 2*m**2. Determine t(w(g)). -1480570*g**2 Let l(x) = -349745*x. Let v(s) = -9*s. Calculate l(v(a)). 3147705*a Let n(d) = 2*d - 19. Let m be n(9). Let q = m - -11. Let p(g) = 3*g - 2*g - g - q*g**2. Let y(v) = -3*v**2. Determine p(y(f)). -90*f**4 Let h(l) = -8*l. Let n(m) = 1645*m**2. What is n(h(s))? 105280*s**2 Let n(k) = 26*k**2. Let v(l) = 17*l**2 + 20*l**2 - 66*l**2 + 16*l**2 + 15*l**2. Determine v(n(r)). 1352*r**4 Let a(b) = 657*b**2. Let s(g) = 242*g**2. What is a(s(y))? 38476548*y**4 Let p(l) = 174*l. Let x(q) = 1660*q - 2. Calculate x(p(h)). 288840*h - 2 Let m(q) = -561*q. Let z(g) = 2*g**2 + g. What is z(m(d))? 629442*d**2 - 561*d Let g(y) = 4*y**2 - 11*y. Let v(m) = -3*m - 2078. What is g(v(i))? 36*i**2 + 49905*i + 17295194 Let b(c) be the second derivative of c**3/6 - c. Let s(o) = -2*o**2 + 4*o. Let j(x) = -4*x**2 + 10*x. Let q(r) = -2*j(r) + 5*s(r). Determine q(b(a)). -2*a**2 Let q(o) = 24*o + 10. Let c(l) = -493*l - 204. Let u(r) = -5*c(r) - 102*q(r). Let t(m) = 2*m. Determine u(t(v)). 34*v Let z(y) = 4*y. Suppose 17 - 7 = 2*m. Let v(n) = -17*n**2 + 10*n**2 + m*n**2. Give z(v(c)). -8*c**2 Let s(n) = -2*n + n - 14 - 17 + 31. Let l(d) = -13*d - 22*d + 10*d. Determine s(l(j)). 25*j Suppose 0 = -5*g - 1 + 11. Let p(l) = 110*l**2 - 56*l**g -
{ "pile_set_name": "DM Mathematics" }
h. -1 Suppose -39*c - 20*c + 410 = -18*c. Solve 27*v = c*v - 51 for v. -3 Suppose -3*q - 664 - 792 = -29*q. Solve 15*y + 19 = -q for y. -5 Let g be (-5 + 14)*(-14)/(-6). Let j be (-2)/6 - (49/g)/(-1). Solve 6 - j = s for s. 4 Suppose -988 = 3*r - 1057. Solve r*m - 86 = 29 for m. 5 Suppose -p + 23 = -2*c, -2*c - 23 = -p - 4*c. Let z = 329839 - 329817. Solve -z*t + p*t = 5 for t. 5 Let r(g) = -9*g**3 - 352*g**2 - 43*g - 85. Let h be r(-39). Solve -h = y - 66 for y. -5 Suppose -7*s + 14 = 35. Let g be 8/(12/s)*(-12)/8. Solve -q = g*q - 12 for q. 3 Suppose -787 = -127*r + 2642. Solve -r*l = -52 - 83 for l. 5 Let i be 1/((1/92)/((-66)/(-264))). Solve 5*n - 112 = -i*n for n. 4 Let n = 19382 - 19294. Solve -85*k + n*k + 15 = 0 for k. -5 Suppose 0 = -2*p + 2, 0 = 26*l - 29*l + 5*p - 3005. Let r = 1018 + l. Solve 14*x + 12 = r*x for x. 3 Suppose 5*f = -30*m + 27*m + 1009, 192 = f + 2*m. Solve 239 - f = -11*p for p. -3 Let r(x) = 16*x - 504. Let w be r(33). Solve -w = 4*g - 12*g for g. 3 Suppose d - 5*r - 2 = 0, -5*d = -0*r + 2*r - 37. Suppose -77 = -d*s + 28. Let o be ((-6)/(-8))/((-5)/(-200)*s). Solve 5*m - o + 7 = 0 for m. -1 Suppose 14*a - 175 = 3*a + 56. Solve -14 - 7 = a*d for d. -1 Let z = 473 + -474. Let g(u) = -9*u - 5. Let o be g(z). Solve -o*f + 5 = -11 for f. 4 Suppose 0 = -18*g + g + 68. Suppose -2*y + 40 = 4*c, 4*c = c + g*y + 8. Solve 0 = c*v - 3*v + 10 for v. -2 Suppose 3*k - 4 = 4*c - k, 0 = 5*k - 10. Let b be (-6 - (-597)/(-12)) + c/(-4). Let z = -47 - b. Solve 4*a - a - z = 0 for a. 3 Let k be 1575/(-450)*(-1 + 2979/(-21)). Solve 506*x - k*x - 12 = 0 for x. 2 Let v = 12 - 8. Let j(m) = m - 4. Let t be j(6). Let b be (v - t) + 18*1/2. Solve 0 = 5*k - b - 14 for k. 5 Let s(u) = -u**2 + 110*u + 11. Let b be s(0). Solve -4*f + 28 = -b*f for f. -4 Let o(d) = d**2 - 28*d + 28. Let a be o(27). Let k be a*(-15)/9*-3. Solve -k*r = 6 + 9 for r. -3 Let d be ((-1 - -6)/(-10)*0)/2. Solve -21*b + 35*b - 28 = d for b. 2 Let b = 35 + -34. Suppose 2*g = -3*u + 5*g + 6, 2*u - 4 = -g. Solve b = -u*p + 9 for p. 4 Let k(z) = z + 1 - z - 2*z. Let g be (-13)/((-182)/21)*8/(-3). Let q be k(g). Solve -3*d + 0*d - q = 0 for d. -3 Let g(w) = 31*w + 21. Let r be g(0). Let x be r/(2646/(-56)) - 80/(-18). Solve 1 + x = -z for z. -5 Suppose -l + 2*v + 12 = 2, -v - 5 = -4*l. Suppose l = -t + n - 5, -2*t - 17 = -3*n - 2. Suppose -3*a - 2*s + 10 = t, 4*a - 3*s = s. Solve a*y + 11 = 1 for y. -5 Suppose -5*p - 5*y + 40 = 0, -2*y = -6 - 0. Suppose 0 = -s - o - 23, 17 - 82 = 4*s - p*o. Let b be (-5)/(-4)*(s + 24). Solve -b*a = -2*a + 3 for a. -1 Let q be 2/((20 - (-9618)/(-480))/(12/(-10))). Solve -61 = -25*v + q for v. 5 Let l = -25 - -27. Let x = -273 + 273. Solve 3*p - l*p - 5 = x for p. 5 Let x = -10 - 27. Let z = x + 42. Suppose 5*q = -h + z*h + 4, -5*h = -3*q + 5. Solve -4*l + l = q for l. 0 Let d(c) = -c**3 - 4*c**2 - 8*c - 11. Let s be d(-3). Suppose -5*u = -3*h + 4*h - 50, -s*h + 2 = -2*u. Let f = -4 + u. Solve -3*q = -10 - f for q. 5 Let s(z) = 212*z + 217. Let b be s(-1). Let v be (6/4)/((-1)/2). Let i be (-2 + b)/(v/(-4)). Solve -3*c = i + 5 for c. -3 Let z = 0 - -4. Let m be (-3 + z)*1*11. Let x = 12 - m. Solve -4*r + 19 = -x for r. 5 Let b(x) = -x**2 - 10*x - 15. Let m be b(-9). Let a be -5 + (3 - m) + 4. Solve -4*s = -2*s - a for s. 4 Let c(d) = 10*d - 108. Let a be c(11). Suppose 11*j - 35 = -5*x + 6*j, 2*x - 4*j - a = 0. Solve -24 = x*t - 4 for t. -4 Let k be 1335/89*(4/(-2) - 1). Let d be 0*(k/(-6) - 7). Solve -5*f + 9 - 34 = d for f. -5 Suppose b + 4*f = 0, -2*b + 5*f = -b. Suppose -5 = 2*i + 4*o + 3, -4*o - 44 = -4*i. Suppose -9*g + 7*g + i = 0. Solve -g*p + 0*p = b for p. 0 Let v = -16 + 36. Let q be 9/(-21) - v/(-14). Let k be 2/q*(-70)/(-20). Solve 5*h - k = 3 for h. 2 Let p(z) be the first derivative of z**3/3 - 3*z**2 - 16*z - 3. Let f be p(7). Let d be 3 - f/((-27)/6). Solve 0 = n + 1 + d for n. -2 Let u be (-4)/(-14) + 24/14. Let k = -4037 - -2810. Let s = -1224 - k. Solve s*y = u*y - 4 for y. -4 Let w(o) = 26*o + 103. Let r be w(-2). Solve 49*z + 4 = r*z for z. 2 Let b(p) = p**3 - 4*p**2 + 15*p - 24. Let j be b(10). Let l(f) = -357*f + j*f - 10 - 363*f. Let d be l(2). Solve d*u + 3 = 11 for u. 4 Let u be 105/(-8) + 13 + (627/24 - -1). Suppose 8*x - 13*x + 15 = 0. Solve x*k + u - 24 = 0 for k. -1 Let x be 6417/217 - -7 - (-3)/7. Solve x*k - 41 - 70 = 0 for k. 3 Let d = -7267 - -7267. Solve 21*f - 180 + 54 = d for f. 6 Let y be ((-251)/(-6) - 20/15)*6. Suppose -k = -y + 240. Solve 8*v = k*v + 15 for v. 3 Let n(o) = 4*o**2 - 105*o + 30. Suppose -17*m + 74 + 368 = 0. Let t be n(m). Solve 0 = t*y - 8 - 4 for y. 3 Let u(z) = -z + 27. Let q be u(25). Let f = 4 + 0. Suppose 0 = -a - f*c + 20, a + q*a = 4*c - 4. Solve -20 = -4*b - a for b. 4 Let z = -7658 - -7663. Solve z*k - 4 = -4 for k. 0 Let l = 9803 + -9783. Solve l*q = 22*q - 10 for q. 5 Let t(p) be the third derivative of p**6/120 - 7*p**5/60 - p**4/4 - 7*p**3/3 - 55*p**2. Let w be t(8). Solve 12 = 6*o - w*o for o. 3 Suppose -8*l - 1 = -17. Let x be 1/(l*(-6)/(-180)). Solve 2*y - 13 = -x for y. -1 Let t(h) = -4*h**3 - 67*h**2 - 188*h - 122. Let u be t(-1). Suppose -5*b + 56 = 1. Let g = -6 + b. Solve u = g*c + 23 for c. -4 Suppose 96*u + 4726 = -43*u. Let y(h) = h**2 + h. Let c be y(-2). Let z be (c + -5)/(40/u - -1). Solve 0 = -2*x - 7 + z for x. 5 Suppose -5*l + 176 = t, 3*t + 37*l = 32*l + 568. Solve 8*o - t = -172 for o. 3 Let s = 112 + -79. Suppose c - 3*c = 4*i - 6, 2*i - 5*c = s. Solve 28 = -6*t + i for t. -4 Let z be ((-1)/1 - 0)*-1. Suppose -183*o + 202*o - 38 = 0. Suppose -o*m - z = n - 18, -5*m + n + 39 = 0. Solve -2*d + 0*d = -m for d. 4 Suppose 5*g - 7*i = -10*i + 21, i = -2*g + 7. Let u(f) be the first derivative of f**3/3 + f**2 + f + 1. Let k be u(-1). Solve k = -2*v - g*v for v. 0 Let k be 222/333*51/2. Solve -25 = 12*v - k*v for v. 5 Suppose -233*f + 26800 = -99*f. Solve f = 3*r + 215 for r. -5 Let t be (-1 - -2)/(50/84 + (-6)/14). Let c(x) = -3*x**3 - x**2 - x. Let u be c(-1). Solve -9 = u*z - t*z for z. 3 Let i be ((-3)/(-4))/((-291)/(-388))*0/(-1). Solve i = 16*j - 125 - 3 for j. 8 Suppose 7*a - 10*a - 6 = 0. Let s be (-12)/(a + (-12)/(-4) + -3). Let y be ((-15)/(-6) + -2)*4. Solve 0 = -4*w - s - y for w. -2 Suppose -t + 978 = 2*u, 4 - 14 = 5*u. Let k = -978 + t. Let c = 2 + 0. Solve 0 = j - k + c for j. 2 Let w(y) = -4*y. Let d = 32 + -33. Let a be w(d). Solve -a = -3*j - j for j. 1 Let b(d) = 10*d - 420. Let w be b(42). Let f(y) = 14*y. Let l be f(w). Solve -5*a + 4*a - 3 = l for a. -3 Let n be -5*((-16)/4 + 3). Let o be 18/(-72) - (-26)/8. Suppose -3*i = -5*l - o, -8*i = 5*l - 3*i - n. Solve 3*b + 2*b = l for b. 0 Suppose -4*d - s + 7 = d, d - 8 = 2*s. Let q be (-3 - 11/d)/(3/(-6)). Suppose 12*j = q*j. Solve 3*n = -j - 12 for n. -4 Let a(k) be the second derivative of k**3/3 + 37*k**2/2 + 28*k. Let o be a(-11). Let i = o - 12. Solve i = f - 0 for f. 3 Let a be 77/(-14)*20/(-55) + 2. Suppose 17 = 5*f + a*g - 34, 0 = -f - 3*g + 19. Solve 15 = 2*i - f*i for i. -3 Let l = -2887 + 2938. Solve l - 56 = c for c. -5 Let u(b) = -b**3 - 17*b**2 + 18*b + 2. Let k be u(-18). Let c = -46 - -53. Solve -23 = -c*f - k for f. 3 Suppose -2*l + 24 = -118. Suppose -5*q = 2*a - 345, 3*a - 253 = -4*q + 6*a. Let r = l - q. Solve -y + 6 = -r*y for y. -2 Let o be 21/15 - 6/15 - 1. Suppose 24 = 8*d - o. Suppose -d*g - 21 = -10*g. Solve -g = -3*a + 12 for a. 5 Suppose -5*o + 5*a + 158 - 48 = 0, 0 = 3*o - 4*a - 66. Solve -11*t - 88 = -o for t. -6 Suppose -3*a - 5*k - 14 = 0, -4*k = 3*a - 0*a + 10. Suppose 12 = -a*o + 14. Suppose -o = 2*n - 3*n. Solve z - 2*z = n for z. -1 Let s(a) = -a**3 - 5*a**2 + a + 5. Let o be s(-5). Let j(t) = -5*t**2 + 440 - 85*t + t**2 - 459. Let r be j(-21). Solve r*g - 5*g = o for g. 0 Let r(c) = 14*c**3 - 5*c**2 - 27*c + 54. Let f be r(3). Solve 29*m = -22*m + f for m. 6 Let j be (-8)/(-20) - 26/(-10). Let p = -537 + 545. Suppose 34*f - 110 = -p. Solve f = -0*h - j*h for h. -1 Suppose 2*t - 36 = 2*p, 13*p = 4*t + 17*p - 40. Suppose 17*i - 18 = t*i. Solve -3 = i*j + 3 for j. -1 Let b(t) be the second derivative of -5*t**3/6 + 16*t. Let n(o) = 4*o + 1. Let c(s) = 5*b(s) + 6*n(s). Let j be c(-5). Solve 4*d + 5 + j = 0 for d. -4 Suppose -8 - 17 = -s - 3*a, 3*s + 3*a - 51
{ "pile_set_name": "DM Mathematics" }
4 Solve -4*c = 4*q + 40, 3*q - 3 = -4*c - 36 for q. -7 Solve 141*p - 2*h = 137*p + 12, 14*p = -3*h + 62 for p. 4 Solve 4*n = -f + 22, -23 = 137*n - 142*n + f for n. 5 Solve 5*s = 4*j, 3*s - 5*s - 3*j + 3 = -5*s for s. 4 Solve 0 = -11*d + 2*o - 39, -d - 65*o = -63*o - 3 for d. -3 Solve 59 = 2*c - 4*g + 79, 5*c + 35 = 5*g for c. -4 Solve 3*t + 51*y - 54*y = 0, 0 = -0*y + 5*y for t. 0 Solve -d - 221 = -t - 242, 0 = 4*t - d + 6 for t. 5 Solve 0 = h + 3*s - 7, -5*h = -s - 220 + 217 for h. 1 Solve -u + 2*f = 569 - 584, 22*u = 3*f - 80 for u. -5 Solve 0 = 5*v - 4*i - 58, -i + 5*i = 2*v - 28 for v. 10 Solve q = -3*k - 4*q - 50, 4*k + 30 = -3*q for k. 0 Solve 0 = -7*n - r + 8 + 15, -4*n - 100*r = -97*r - 1 for n. 4 Solve -5*l - 3*b = 50, 4204 = -5*l + 4*b + 4224 for l. -4 Solve 5*t + 31 = b, -203*t + 23 = -b - 207*t for b. 1 Solve -w + 5*u + 13 = 0, -8 = -2*w + 131*u - 127*u for w. -2 Solve 3*w + 14 = -5*a, 2 = 11*a - 6*a + w for a. 2 Solve 2*x + 12 = -4*o, o - 1 = -7*x - 17 for o. -2 Solve -4*b + 18 = 3*w, 34*w - 35*w - 3*b + 11 = 0 for w. 2 Solve z = 5*x - 19, -30*z + 27*z = -5*x + 27 for x. 3 Solve -n + 4*b + 44 = 0, 4223*n - 4222*n + 3*b + 26 = 0 for n. 4 Solve 3*l + 12 = -5*t, -l + 15 = -4*t + 2*l for t. -3 Solve -a = j + 11, -442*j - 35 = a - 438*j for a. -3 Solve 0 = 3*n - 5*c + 19, -n - 382*c = -394*c + 58 for n. 2 Solve 3*k - 49 = 4*o - 2*o - 21, -32 = -4*k for o. -2 Solve -2*d + 27 = -3*z, 36*z + 86 = 3*d + 25*z for d. 3 Solve -269*m = 2*h - 271*m + 2, 2*m = h + 2 for h. 0 Solve -5*f = 5*z - 35, 0 = 4*z + 3*f - 36 + 10 for z. 5 Solve -h - 29 + 27 = -2*b, 26 = -3*h - 4*b for h. -6 Solve -5*n = k + 5891 - 5826, -2*n = -4*k + 4 for n. -12 Solve 0 = 5*t + 4*i - 19, -67*t + 68*t + 1 = 4*i for t. 3 Solve -19 = 2*g - g - 15, 5*h - 5*g = 20 for h. 0 Solve 0 = -k - p + 5, -808*p + 813*p - 5 = -k for k. 5 Solve 39 = -s + 4*z, 5*s - z - 111 = -15*z for s. -3 Solve 22 = 3*v - 2*b, -2*v - 971 = -b - 984 for v. 4 Solve 4 = -f - 2*s, -4491*f + 4492*f + 1 = 5*s + 4 for f. -2 Solve -4*b + 116 = 0, 90*l - 35*l - 29 = -b for l. 0 Solve 0 = -4*a + 54*c - 42, -28*a + 33*a + c - 16 = 0 for a. 3 Solve -3*w + 103*v + 16 = 101*v, -2*w = -v - 9 for w. 2 Solve 0 = 11*x - 8*x - 2*p - 46, 0 = 2*x + 4*p - 20 for x. 14 Solve -3*q - 30 = 15*c - 13*c, -7*q - 2 = -2*q - 2*c for q. -4 Solve 0 = 2393*y - 2394*y - 6*p - 13, -y - 11 = 5*p for y. -1 Solve -2*w + 28 = 2*t, 5*w - 32 = 4*t - 7 for w. 9 Solve 49*c + 161 = 46*c + 181*s - 759, 0 = -5*c - 5*s for c. -5 Solve 593*m - 597*m - 3*u + 42 = 0, 3*m + 5*u = 26 for m. 12 Solve -33*u - 3*n + 13 = -29*u, -5*n - 4 = -n for u. 4 Solve -16*m = 4*z + 204, 5*z - 87 = 5*m + 7*z for m. -5 Solve -2*a - 8*o + 9*o + 26 = -15, 3*o = -3 for a. 20 Solve -10*q - 8*f - 2 = -11*f, -3*q = -4*f + 13 for q. 1 Solve -3*d = -5*o + 60, 60 = -1604*o + 1609*o + d for o. 12 Solve -11 = 2*x - t, -2*x - 3 = 2*t - 1 for x. -4 Solve 12*f - 3*t + 36 = 7*f, 0 = 4*f - 4*t + 32 for f. -6 Solve 4*w = 290 - 278, -6*b + 21 = 3*w for b. 2 Solve 19 = 5*b + 2*n, 4*b - 521 + 477 = -4*n for b. -1 Solve 4*o + 2*q + 28 = 0, 3*o + 65 = q + 39 for o. -8 Solve 3*a - 10*c = 45, -a = 273*c - 274*c - 8 for a. 5 Solve -2*a + j = 48 - 60, j = -2*a for a. 3 Solve 22 = 5*g + 4*r, -64*r - 28 = -3*g - 59*r for g. 6 Solve -4*l + w = -2, 58*l + 31 = 83*l + 3*w for l. 1 Solve -2*p = 1249*y - 1253*y - 6, 4*y + 3 = p for y. 0 Solve -3*a = -5*u - 11, -40*a = -37*a - 3*u - 9 for a. 2 Solve 2*h + 8 = 0, 110*o - 105*o + 2*h = 32 for o. 8 Solve 0 = -308*w + 304*w + 5 + 15, -3*h + 40 = 5*w for h. 5 Solve 0 = -2*z - 4, 3329 = 2*k + 3*z + 3345 for k. -5 Solve -12 = -2*v - 2*c, -7*v - 4*c - 33 = -66 for v. 3 Solve -r = -3*p + 13, -11*p - 69 = -29*p - 3*r for p. 4 Solve -5 = 5*i - 3*t, -70*t + 15 = -67*t for i. 2 Solve -60 = 2*g - 0*g + 10*x, -x - 6 = 4*g for g. 0 Solve 428*m = 426*m - 4, -2*m = -4*b + 12 for b. 2 Solve 5*y - 5 = -28*r + 31*r, 0 = -3*y + 5*r + 3 for y. 1 Solve 0 = w - 11*l + 8*l + 8, 2*w - 2*l = 0 for w. 4 Solve 4*f - 36 = -9*p, -5*f - p - 5 + 9 = 0 for f. 0 Solve -14399*n + 11 = -d - 14394*n, -5*d = -3*n - 11 for d. 4 Solve 5 = -4*q + 3*x, -41 = -q - x - 51 for q. -5 Solve -34839*n - 5*l = -34844*n - 10, 4*l = -2*n - 34 for n. -7 Solve 71*g + 5*t = 76*g + 5, -t = g - 3 for g. 1 Solve -3*y + 4*b = 115 - 140, 2*b + 8 = 0 for y. 3 Solve -2*r + 18 = 5*u, 0 = -234*r - 236*r + 467*r - u + 1 for r. -1 Solve -n - 24540*l = -24536*l - 12, -5*n - l + 22 = 0 for n. 4 Solve 333*g = 2*o + 338*g - 14, 4*g - 7 = -3*o for o. -3 Solve 0 = -4*h - 24, -575*n + 38 = -579*n - 5*h for n. -2 Solve 5*g - 4*b - 1 = 0, -26*g = 3*b + 590 - 619 for g. 1 Solve 3*j + 90*f + 5 = 91*f, 0 = -4*j + 4*f - 4 for j. -2 Solve 0 = a + 4*q - 8, 0 = -201*a + 199*a + 3*q - 6 for a. 0 Solve 0 = -3*w - u + 22, -2*w + 5*u = -22 + 30 for w. 6 Solve 3*n + 3 = 0, 38*m + 3 = 40*m + 3*n for m. 3 Solve z = 3*x + 20, -3*x + 22003*z - 21998*z = 16 for x. -7 Solve -5*b + 15 = -5*l, -283*l = -279*l - b + 15 for l. -4 Solve 0 = -3*a - 15, 90 - 60 = -5*k - 4*a for k. -2 Solve 5*w + 10 = -10*y, 3*y + 329 - 336 = w for y. 1 Solve 6*l + 8*q + 3*q - 62 = -46, -1 = -4*q + 7 for l. -1 Solve -19 = 5*w - 222*b + 225*b, 0 = 3*w + 4*b + 18 for w. -2 Solve -3 = -17*d + 6*d - 2051*z + 2056*z, 30 = 5*z for d. 3 Solve -3*f + j = 7, -775 + 776 = -3*f + 4*j for f. -3 Solve -3*p - 53 = -7*r, -948 + 992 = 5*r + 4*p for r. 8 Solve -y - 17 = 5*m, 25*y - 22*y + 5*m + 1 = 0 for y. 8 Solve 4*m + 0*h + 28 = -4*h, -97*h - 12 = 3*m - 85*h for m. -8 Solve -6 = -2*k, 4*k + 358 = -s + 373 for s. 3 Solve -i - 2 = -209*h + 208*h, 0 = i + 4*h - 13 for i. 1 Solve -o - 24 = 3*d, -1695*d + 1694*d + 18 = 9*o for o. 3 Solve 0 = -4*k - 5*q + 2, 6*k - 2*q = -11 + 33 for k. 3 Solve -4*k + 16 = -2*u, -4 = k - 5*u - 17 for k. 3 Solve -3*u + 59 = d + 54, 0 = -u - 2*d + 10 for u. 0 Solve 33 = -3*b - 17*p + 20*p, 5*b + 2*p = -48 for b. -10 Solve 24 = 5*q - 2*k, 212*q - 215*q + 6*k + 24 = 0 for q. 4 Solve 5*c + 48 = 16*q - 15*q, 27 = 6*q - c for q. 3 Solve 3*t + 28 = -4*r, -140*r + 145*r - 27 = 4*t for r. -1 Solve 3*l - 5*j - 7 = 0, -3*l + 31*j = 34*j + 9 for l. -1 Solve 4*r + 92 - 180 = -84, -3*j = 4*r + 26 for j. -10 Solve -2*m = -5*n - 117 + 107, -2*m - 26 = 4*n for m. -5 Solve 4*d = -13*q + 82, 3*d - 19*q - 27 = -23*q for d. 1 Solve 31 = -3*t + f, 4*t - 4604 = 4*f - 4648 for t. -10 Solve 273*h = 269*h - 2*l + 4, -5*h + 4 = 3*l for h. 2 Solve 304*i - 301*i = -4*g + 29, -3*g = -24 for i. -1 Solve -4*i + 2 = 15*b - 17, 0 = 2*i + b - 3 for i. 1 Solve -20 = -8*p - 1323*j + 1324*j, -2*j - 4 = -4*p for p. 3 Solve -11*j + 55 = -d, -15 = -2511*d + 2516*d - 3*j for d. 0 Solve -28 = -2*f + 2*r, -229 + 205 = 2*r for f. 2 Solve 2*n + 487 - 497 = 0, -2*k + 5*n = 15 for k. 5 Solve 2*x + 26 = -2*a + 20, 0 = x + 3*a - 1 for x. -5 Solve 2*g = 5*k - 49, -7*k + 6*g - g = -95 for k. 5 Solve -3*v = 2*y + 5, 0 = -4*y - v + 1 - 16 for y. -4 Solve -4*i = -5*g - 40, 5*i - 4*g - 378 = -337 for i. 5 Solve 4 = -n, 77*o - 78*o + 5*n = -17 for o. -3 Solve -42 = 4*x - 2*h, -4243*x = -4242*x + 4*h - 12 for x. -8 Solve 4*v + 14 = -w, 3*v - 77 = 4*w - 116 for w. 6 Solve 3*m + 4*t - 19 = 0, 19*m - 23*m = -t - 38 for m. 9 Solve -59 = -5*y - 12*h - 83, -4*y - h - 2 = 0 for y. 0 Solve 95*n = 90*n + 60, -4*z - n = -32 for z. 5 Solve -6*y + 29*z - 20 = 28*z, -3*y = -5*z - 8 for y. -4 Solve -5*m + 2*t = -5, -243*m = -240*m + 5*t - 34 for m. 3 Solve 3*c = -f - 15, 0 = 25*f - 30*f - 6*c - 39 for f. -3 Solve 4*s = -4*v + 20, 209*s - 205*s + 10 = 2*v for v. 5 Solve 5*x = -4*c + 61, -2*x + 4*c = -3 + 29 for x. 5 Solve 5*u = -2*d + 18, u - 62*d = -77*d + 62 for u. 2 Solve -g = -4*y - 11, -y - y + 5*g = 19 for y. -2 Solve 3*x + 15*p = -45, -345*x + 341*x + 2*p + 28 = 0 for x. 5 Solve -4*x + 421*k = 417*k - 44, 3*x - 21 = k for x. 5 Solve -4*k - 800*f + 13 = -805*f, -k = -5*f + 8 for k. 7 Solve 13*h + h - 56 = 0, -2*j + 4*h + 14 = 34 for j. -2 Solve 4*h - 3*o - 50 = 0, 30*h - o + 31 = 33*h for h. 11 Solve 4*r = 5*l + 16, -r - 13 = -24*l + 27*l for l. -4 Solve -3550*q + 3549*q = 5*w - 8, 5*q = -4*w - 23 for q. -7 Solve -2*n + v + 7948 = 7971, 3*v = -2*n + 53 for n. -2 Solve -4*t + m + m - 6 = 0, -40*m + 0 = 2*t + 126 for t. -3 Solve -3*x - 14 = l, -4*x + 58*l - 17 = 59*l for x. -3 Solve -v - 11 = 5*x + 3*v, 4*x - 5*x = 3*v
{ "pile_set_name": "DM Mathematics" }
6 + -9 + -5 + -1 + 3 + -1. -7 Evaluate 17 + -4 - (5 - 5). 13 What is 283 + -262 - (-1 - -27)? -5 What is the value of (8 - (-12 - (5 - 11))) + (5 - 2)? 17 What is the value of (20 - 2 - 20) + 8? 6 10 + -31 + 6 + 3 -12 Calculate 3 - (-5 + (43 - 24)). -11 What is the value of -418 + 380 + 4 + 0? -34 What is -15 + 1 + (-15 - -20)? -9 -9 + (-10 - -12) - -2 -5 -29 + 45 + (-2 - (0 - -4)) 10 (3 - 27) + 29 + 15 + 1 + 2 23 Evaluate (0 - -1) + (-3 + (-2 - -4) - 4). -4 Calculate (8 - -14) + -26 + 14 + -38 + 0. -28 What is 12 + (-11 - -13 - 3) - (21 - -1)? -11 What is 4 - (16 + 10 - 10)? -12 Evaluate 3 - (-21 - (-2 + -9)). 13 What is -6 + -5 + (-8 - (-3 - 23))? 7 What is the value of -8 + (8 - -2 - 15) + 37 - 3? 21 Calculate (1 - (0 + (-7 - -1))) + (-7 - -3). 3 What is the value of 17 + -20 + 7 + -1 + -5 - 3? -5 -23 + -1 + (25 + (-67 - -20) - -30) -16 What is -6 - (-30 + 20) - -13? 17 Calculate -12 + 23 + -16 + 19. 14 Calculate 9 - (-9 - -28 - 1). -9 What is the value of (22 - (1 - 2)) + (-15 - -9)? 17 Evaluate 58 + -63 - (2 + -3 + -10). 6 (14 - -1) + -172 + 142 - (-4 + 0) -11 (8 - (-7 + 1 - -36)) + 6 -16 Calculate -17 - (-30 + 19 + -32). 26 -30 + 0 + 190 + -168 -8 Evaluate (1 + -2 - (-7 + (7 - -3))) + 4. 0 What is -23 + (8 - (4 + -6 + 2)) - -5? -10 Evaluate -7 + 9 + 2 + 7 + -6 + -5. 0 1 + -5 - (-4 + (-6 - -3) + 12) -9 What is (-17 - (-1 + -10)) + 13? 7 Evaluate -2 + (-2 + -4 - (-101 - -98)). -5 What is the value of (1 - -4) + (-47 - -36)? -6 What is the value of 4 + 4 + (-11 - (-8 - 32))? 37 1 - -8 - (19 + -4 + -19) 13 -4 - (11 + (4 - 32)) 13 Calculate (-46 - (4 - 18)) + 25. -7 4 + -21 + (32 - 16) -1 What is 15 + (-6 - 17 - -11) + 3? 6 8 - (8 + (4 - (3 - -8) - -4)) 3 Evaluate -13 - (1 + -7 + (-28 - -32)). -11 What is the value of (1 - 8) + (-576 - -589)? 6 5 + (-6 - -5) + -13 + -7 -16 (-14 - ((6 - 11) + 17)) + 18 -8 What is 4 + (-8 - -14) + -15 - (4 + 0)? -9 What is the value of (-1 - -6 - 1) + -1 + (16 - 23)? -4 Evaluate -17 - (1 - 21) - (6 - 12). 9 What is the value of -6 - ((1 - 2) + 1) - (1539 - 1542)? -3 Calculate 14 - 16 - (-4 + 0 - (3 + -1)). 4 Calculate -3 + 21 + -6 + -11. 1 -212 - -209 - (10 - (-1 - 0)) -14 (-8 - (2 + 2 + (14 - 22))) + 11 7 1322 - 1350 - (-3 - 0) -25 Calculate (25 + -4 - (1 + -3)) + -12 - -9. 20 Calculate -1 - (71 + -69 + (-10 - 0)). 7 Calculate (-3 - 14) + -5 + 21. -1 Calculate (10 - 7) + -6 - (-4 + 2). -1 Evaluate -22 + 7 + -3 - -29. 11 1 + 5 + (32 - 26) 12 -31 + 33 + 0 + -1 + (-4 - 1) -4 Calculate 14 + (7 - (14 - (-2 + 5))). 10 (91 - 90) + 2 + (2 + -5 - 11) -11 Evaluate -8 - (9 + (2 - 8 - (-13 - -19))). -5 Calculate 3 - (7 - 1 - 5 - (0 + 1)). 3 What is the value of 10 + -14 + 3 + 4 - (3 - 5)? 5 6 + 5 + -4 + 6 + -6 + 8 15 Calculate (6 - -1) + 4 + -2 + 26 + -12. 23 What is 7 - 4 - ((-8 - -6 - -2) + 1)? 2 What is 28 - 20 - (6 - 7)? 9 What is 15 + 1 - 34 - -39? 21 Evaluate -2 - 5 - (-1 + -1 + 0 - 9). 4 Calculate (-5 + 8 - 1) + (3 - 2). 3 What is the value of 14 + 20 + -33 + -1 + 3 + 3? 6 Calculate -1674 + 1683 + (-21 - 0). -12 5 + 26 + -49 - -25 7 Calculate 3343 + -3331 - ((-1 - -3) + (0 - 2)). 12 Evaluate 17 - -1 - (3 - -15 - 5). 5 What is the value of (-11 - 11 - -12) + 10? 0 Evaluate -19 - (-14 - (16 - -3)). 14 What is 5 + (119 - 119) + (0 - -4) - -2? 11 What is (3 - (-4 + 6)) + -18? -17 Evaluate 25 + (-48 - 18) + 7. -34 Calculate 2 + (-8 + 12 + -9 - 9). -12 Evaluate -46 + 50 + (-5 - (4 - 1)). -4 What is -1 + -11 + -452 + 458 - (0 + -35)? 29 What is -36 - (-26 - (-15 + 0)) - (4 - 12)? -17 Calculate -108 + 137 + (2 - 17). 14 Calculate -18 - (6 + -17 + 11 + -7). -11 What is (12 - (2 - 0)) + -7? 3 What is the value of (43 - (75 - 21)) + (15 - 2) + -1? 1 Evaluate -10 + -18 + (-11 - -2) + 15. -22 What is (-4 + 5 - 0) + -3 - -4? 2 -459 + 432 - (2 - 41) 12 What is 1843 + -1843 + -1 + -2? -3 Calculate 26 + -5 + -24 - -9. 6 Evaluate -3 + 7 + -21 + 17 + 1 + -7. -6 Calculate 2 - ((-5 - 1) + (15 - 24) + 14). 3 -1 + -4 + -1 + 1 + 8 3 What is the value of 2 + -1 + -4 + 5 + (-9 - -5)? -2 What is the value of (0 - -2) + (5 - 4) - -1? 4 -10 - (7 - ((-1 - 3) + 12 + -1)) -10 What is the value of 11 + 9 + 5 + -13 + -2 + 1? 11 What is (35 - 35) + (-1 - (-6 + 0))? 5 What is the value of (-2 - (1 - 1)) + 5 + (-13 - -15)? 5 What is 1 + 3 + -1 + -12 + 15 + -3? 3 Evaluate -10 - 0 - (-22 + 11). 1 What is the value of -37 - -24 - 1 - (1 + -3)? -12 -42 - 14 - -43 - (-3 - -1) -11 What is (9 - (0 + 11)) + -3? -5 3 - (11 - (-1 + 8)) -1 Calculate -24 + 33 + -13 + (-6 - 5). -15 What is the value of -5 + (12 + -13 - 0)? -6 Calculate 447 + -423 - (0 + 44). -20 Evaluate -34 - (21 + -42) - -15. 2 Evaluate -22 - -1 - ((-5 - (-10 + 4)) + -5). -17 What is -13 + -1 - -12 - 5? -7 Calculate 2 + 9 + -8 + (4 - -3). 10 Calculate 0 + 5 + (12 - 9) + (-12 - 1). -5 Evaluate (8 - 0 - -26) + 5 + -18. 21 5 + (3 - 1 - 4) 3 What is the value of -16 + 4 - (66 - 77) - 1? -2 Evaluate -9 + (12 - (0 + 8)). -5 Evaluate -3 + 2 + -2 - ((6 - 18) + 14). -5 0 - 8 - ((3 - 9) + -9) 7 What is 6 - 0 - -3 - -4 - 8? 5 Evaluate -1 + -9 + -23 + 4 + -28 + 46. -11 6 + -21 - (-1 + -7) -7 Evaluate -25 - ((1 - -2) + -19). -9 Calculate -7 + (-3 - (-17 + 3 - -9)). -5 -12 + (1 - 15) + 2 -24 Calculate -1 - ((-5 - 0) + 1 + 8 - 3). -2 1 - (-8 + 7 + (-3 - -3 - -9)) -7 What is -5 + 7 + -24 + 49? 27 Calculate (-26 - (-46 - 2)) + 13. 35 What is the value of -56 - -51 - (2 - (9 - 0))? 2 Evaluate -6 + (68 - 19 - 14). 29 What is (-54 - (-15 - -4)) + 19? -24 Evaluate (-2 - -18 - (81 - 81)) + -25. -9 Calculate 10 + -5 + -34 - (15 - (20 + -3)). -27 Calculate -20 + (20 - (-41 - -18)). 23 12 + -27 + 8 + 10 3 What is the value of 7 + (9 + -20 - -5) + 12? 13 Calculate 0 + -10 + (31 - 30) - (10 - 1). -18 Evaluate (1 + -1 - -2) + -3 + 9 + -19. -11 What is -1 + 23 + -29 + (-4 - -15)? 4 Evaluate -5 + (-3 - 2 - 13) - -11. -12 Evaluate 4 + 9 + -18 - -14. 9 (-25 - -9) + 6 + 7 -3 What is 109 - 153 - (6 - 44)? -6 What is the value of -20 + (5 - -10) - -10? 5 What is the value of -19 - (-3 + 1) - (-8 - (-35 + 31))? -13 (6 - -17) + -35 + (4 - -1) -7 -9 + 9 + -7 - (-10 + -9 + -12) 24 What is -7 - ((3 - 5) + -11)? 6 Evaluate -32 - (-5 + (-1 - (-3 + -1 + 2))). -28 -1 - ((-5 - -26) + -7 + -1 + -6) -8 What is the value of 1 + -4 - (8 - -10)? -21 What is the value of 0 - (6 - 8 - -5)? -3 29 - (19 - (-25 + -14)) -29 What is the value of -31 + 25 + 1 + 7 - -2? 4 -2 + (14 - (11 - (11 - 4))) 8 Calculate (0 - 7 - 1) + -16 - (-7 - -2). -19 What is (-12 - (4 - 8)) + (-22 - -42)? 12 What is 107 + -106 - (0 + (2 - 3) + -5)? 7 What is 3 + 13 - 3 - (14 + -4 + -5)? 8 Evaluate (9 + -4 - (18 + 7)) + 8. -12 Calculate (17 - 29) + -6 + 14. -4 Calculate (1 - -21) + (-10 - -12) + -2 + 6. 28 Evaluate (-12 - -16 - -17) + -12 - -4. 13 4 + 4 - (25 + (0 - 2) + -6) -9 Evaluate 10 - (4 - ((2 - -17) + -9)). 16 What is (0 - 5) + (9 - ((-18 - -38) + 5))? -21 1 + 3 + 23 + -29 + 9 - 33 -26 -4 + -8 + 1 + 19 8 Calculate (5 - 2) + 2 + (-5 - (1 + 8)). -9 What is the value of -8 + -48 + 19 + 19? -18 (-2 - (5 + -1)) + -9 + 4 + 26 15 Calculate (10 - (12 - -5)) + (0 + 1 - -3). -3 236 + -246 + -2 + (24 - 2) 10 Evaluate (22 - 6 - 11) + -2 + -5. -2 What is 15 + (5 - 10) + -15? -5 ((-12 - -3) + 8 - -6) + -6 -1 1 - ((11 - -6) + -7) -9 Calculate (1 - (-1 - -24)) + 23. 1 What is the value of 0 - 4 - (-9 + 11 + 4 + -6)? -4 What is (33 - 57) + 35 + 1 + -25? -13 Evaluate -1 + -5 - ((17 - 7) + 1). -17 1 - 2 - (-6 - ((-9 - -13) + -4)) 5 Calculate (-2 - 2) + (16 - (13 + 9)). -10 What is -11 + (-8 - (-7 - 3)) - (-5 + 2)? -6 Calculate -9 + 14 + -6 - 5 - 8. -14 (-11 - (18 - 20)) + 4 -5 What is (-1 - (-5 + 7) - 13) + 2 - 0? -14 What is -6 + 17 + (12 - 12)? 11 What is -5 + 5 + (61 + -21 - (3 - -1))? 36 What is -71 - -90 - (8 + 0) - 27? -16 Evaluate -10 - (-17 + 46) - -73. 34 Evaluate -21 - -6 - (-22 + 16). -9 What is the value of 33 - (15 - 17) - 48? -13 What is -28 - (-23 + -15) - 2? 8 What is the value of -17 + (-13 + 1 - (-107 - -88)) - -49? 39 Evaluate (37 - (-11 + 26)) + -23. -1 Calculate -5 + 9 + 4 + -22. -14 What is the value of (8 - -37) + 2 + -25? 22 What is -41 - (-24 + -34 + 23)? -6 Calculate -5 - (-11 + 8 + -6 + 5) - 0. -1 What is (17 - 1) + (28 - 41)? 3 Evaluate -7 - -13 - (-1 + -4 + 1). 10 What is the value of 31 - (29 + 26 - 26)? 2 What is 9 + (-3 - -8 - -12 - (-12 + 19))? 19
{ "pile_set_name": "DM Mathematics" }
h = 5*j - 3*a. Let m = j + -56. Is m prime? True Suppose 2*x - 3 = 4*a + 5, a = 2*x - 14. Suppose -3*f = -x*f + 1065. Is f prime? False Let c(h) = -14*h + 2. Let l be c(2). Let x = 30 + l. Suppose -6 = -x*p + 838. Is p a composite number? False Is -279 + 279 - -8149*(-1 - -2) a composite number? True Suppose 0 = -4*q - q - 5*j + 10, 0 = q + 4*j - 17. Is q*(-1528)/48 - (-6)/4 a composite number? False Let x(y) = y - 1. Let h(b) = 819*b + 9. Let p(d) = -h(d) - 27*x(d). Let f be p(-8). Is (1/3)/(6/f) composite? True Let y = 11 - -2. Let x = y - 14. Is 48 - (-3 + (-1 - x)) composite? True Suppose 0 = -0*r - r - 2. Is 27 - (1 + r + 3) prime? False Let d = 41670 - 13393. Is d composite? False Let p(n) = 42*n**3 + n**2 - n + 1. Let s(m) = -m + 2*m - 1 - 8 + 0*m. Let o be s(10). Is p(o) a prime number? True Let s(u) = 1109*u + 11. Let y be s(-7). Is (y/(-26) - -3) + 6/(-39) a prime number? False Let i(h) = 6*h**2 + 41*h - 98. Is i(-21) prime? False Let o(c) = 20*c + 327. Is o(-7) prime? False Is 4/(-8)*5*(-846)/15 a prime number? False Let s = 123 + -49. Suppose -36 = 4*d - 3*j - 501, 0 = -d - 5*j + 122. Suppose -h + s = -d. Is h a prime number? True Let b be 2794 + (-3 - -3 - (0 - -1)). Suppose 0 = 2*j + 3*q - 8*q - b, 4202 = 3*j + 5*q. Is j prime? True Let m(j) = j**2 + 10*j + 12. Let w be m(-9). Suppose 2*f + 0*o + 2 = 5*o, 0 = 3*f + o + w. Is (0 - f)*2 + 465 a composite number? False Let z(d) = -2023*d - 93. Is z(-2) prime? False Let x = -35502 - -64291. Is x a prime number? True Let w be (286/88 - (5 - 1))*5164. Let k = w + 5764. Is k prime? False Let m(h) = -9*h**2 - 2*h. Let f be m(6). Let k = -223 - f. Is k a composite number? False Suppose 0 = 5*i + 2*k - 0*k + 16, i - k = -6. Is (-3)/i + 4971/12 composite? True Let m(c) = c - 10. Let s be m(5). Is (-5)/s*-4*(-1137)/12 a prime number? True Suppose -6834 = -2*i - x, -2*i + 6822 = x - 3*x. Is i prime? False Let c(x) = 107*x**2 + 17*x + 115. Is c(-10) a prime number? False Suppose 1875 = 3*h - 8*h. Suppose -k = 2*k - 3*a - 2268, 0 = -3*a - 6. Let w = h + k. Is w prime? True Let h = 43 + -49. Let a(n) = 33*n**2 + 13*n + 41. Is a(h) prime? True Let q(l) = -l**2 + 8*l - 3. Let g be q(7). Suppose -g = -2*o - 10. Is (1 - 3)*-170 + o a composite number? False Let w(z) = 982*z + 401. Is w(10) a composite number? True Let c(z) be the third derivative of z**6/120 + z**5/5 - 11*z**4/24 + 3*z**3 - 2*z**2. Let u be c(-13). Is (-6)/u - (-1686)/24 prime? True Let f(k) = -81*k + 146. Is f(-21) a prime number? True Suppose -8 - 6 = -x. Suppose -11 = 13*o - x*o. Is o composite? False Let s be -5 + (-1 - -3) + -2. Is 157/((-5)/s) - -2 composite? True Let f = 70971 + -46812. Is f a prime number? False Let q be (-17)/(-5) - (66/(-10) + 7). Suppose -o + q = z - 5*o, -o - 53 = -5*z. Is z prime? True Let y be 3 + (-5 - (1 - 2)). Let z be (-341)/y - (-4 + 3). Let p = z + -105. Is p prime? False Let i = 9683 - 3540. Is i a composite number? False Let k = 29 - 23. Suppose w - 4*u + k*u - 407 = 0, -20 = -4*u. Is w a composite number? False Suppose 4 = -4*v, -3*d + 0*d + 4*v = -25. Is (165/6 + -1)*(7 + d) a composite number? True Let y = 9 + -13. Let c(r) = r**2 + 5*r + 5. Let j be c(y). Is (-145)/j*(-4 + 3) prime? False Let x be -4 - (6*2)/(-4). Let a be -3 - (0 - -1)*x. Is 4/a + 13*3 a prime number? True Suppose 89*m - 50977 = 70*m. Is m prime? True Is (-224 + 220)/(4/(-9601)) prime? True Suppose -14*m - 29292 = -2*m. Let c = 498 - m. Is c prime? True Let n(u) = 27*u**3 - u**2. Let b be n(-1). Let f = -26 - b. Suppose f*c - 1276 = -2*c. Is c a composite number? True Suppose 3*c - 33*n - 10142 = -38*n, 3*n = -15. Is c prime? True Suppose 13*c - 31169 = 23444. Is c prime? True Let i = 0 - -3. Suppose -i*n + 3*o = -33, -n + o = -3*o - 20. Suppose -3*w + 17 = -4*r, -3*w = -n*w + 5*r + 30. Is w prime? True Suppose -9200 - 4129 = -9*d. Is d a prime number? True Let z(a) = a**3 - 8*a**2 - 7*a + 1. Let c(w) = 2*w**2 - w - 2. Let d(l) = -4*l**2 + l + 4. Let k(x) = -11*c(x) - 6*d(x). Let r be k(-4). Is z(r) a prime number? True Let p = -15 - -36. Suppose i + 0 = p. Is i a prime number? False Let i be 2/7 + 4252/14 - -2. Suppose -171 - i = -3*q. Is q prime? False Suppose -a = 5 - 9. Suppose x = 2*j - 753, -a*j - 3*x + 959 + 552 = 0. Is j a prime number? False Let m be ((-56)/(-16))/((-2)/16). Is (-993)/2*(m/6)/7 prime? True Suppose 95*h - 106*h + 70631 = 0. Is h a composite number? False Let y(g) be the third derivative of g**6/360 + g**5/40 - 3*g**4/8 + g**3/2 + g**2. Let c(b) be the first derivative of y(b). Is c(-8) a prime number? True Suppose 4 = -y, 4*r - 3*y - 14188 = -7*y. Is r prime? False Suppose -1139 = -2*m + 587. Is m a composite number? False Let c(j) = 5*j**3 - j**2 + 5*j + 3. Let z be -5 - (3 - 4 - 1). Let q be c(z). Let y = -69 - q. Is y prime? False Let s(k) = -2*k**3 - 15*k**2 - k + 7. Let b(g) = g**3 - g - 1. Let r(n) = -3*b(n) - s(n). Let o be r(9). Suppose -5*u + o = -3*u. Is u a prime number? False Is (364/126)/26 - (-22660)/18 a composite number? False Let y = -246 - -627. Let g be y/(3 - (-24)/(-9)). Suppose 2*b = -b + g. Is b a composite number? True Suppose 7077 = -6*m + 789. Let o = m + 1491. Is o a composite number? False Suppose 0 = t + 3*t. Let u be ((-4)/8 + 1)*t. Suppose -4*d - w = -1885, 2*d - 3*w - 1030 + 91 = u. Is d a composite number? True Suppose -o + 2*w - 6048 = o, -5*w = 3*o + 9096. Is 1/((1 + 3030/o)*-1) composite? False Let m be (-6)/(-5)*(-5)/(-3). Suppose 0 = m*j - 10 + 6. Suppose -b + 2*b = j*x + 16, -4*x + 56 = 2*b. Is b a composite number? True Suppose 2*n + 12 = 7*n + z, -z = 3*n - 8. Let t(l) = 2*l + 3. Let k be t(n). Suppose -f + k = 3*h - 6, -4*h = 0. Is f a prime number? True Suppose -5*v = 2*k - 3*k - 3454, v - 5*k - 686 = 0. Is v a composite number? False Let j(y) = -y**3 - 12*y**2 + 2. Let r be j(-12). Let q be 1/r*6*1. Suppose -4*b - b = q*u - 465, 3*u = 3*b - 279. Is b prime? False Let a(b) = -11*b**2 + 4*b - 5. Let x be a(-4). Let t = x - -1637. Suppose -4*s + t - 244 = 0. Is s a composite number? True Let v(o) = -133*o + 10. Let y = 85 + -57. Let n be y/98 - 102/14. Is v(n) composite? False Let o be (-1)/((33/(-18))/(-11)). Is -3 - (-3)/(o/(-362)) a composite number? True Let f(d) = -50*d**3 - 2*d**2 - 4*d - 2. Let p be f(-2). Let w = 161 + p. Let i = w - 380. Is i composite? False Let u(q) = 50*q + 67. Let h(a) = 51*a + 65. Let j(w) = 7*h(w) - 6*u(w). Is j(10) a prime number? False Let i(m) = -215*m - 15. Let v be i(17). Let z = -1913 - v. Is z prime? False Suppose -3*k = -4*r + 22132 + 38235, 4*r - 60359 = -5*k. Is r a prime number? True Let l = 1959 - 986. Suppose -4*g + 5*g + 2*m = 485, -2*g - m + l = 0. Is g prime? True Suppose 0 = 2*n - 9591 - 4803. Is n a composite number? True Suppose -5*g - 3*h = h - 19, -4*g = 2*h - 14. Suppose 0*w = g*w - 5322. Is w a prime number? False Let f(a) = -27924*a**3 - 3*a**2 - 4*a - 2. Is f(-1) prime? False Is ((-32)/(-48))/(25514/(-25518) + 1) a composite number? False Suppose 4*y + 411 + 211 = 2*q, -1220 = -4*q - 4*y. Is q a composite number? False Is (-5)/((-60)/(-33006))*(-2)/1 a prime number? True Let x(v) = 2*v + 15. Let p be x(-6). Suppose c = 3*d - 0*d - 2366, -p*d + 2356 = c. Is d prime? True Let q(t) = 18*t**2 + 3*t + 1. Suppose 4*v = a - 12, -9 - 23 = 5*a + 3*v. Is q(a) composite? False Let r = 3413 + 3600. Is r a prime number? True Suppose 0 = -2*k - 0*k - 4*y + 26, -2*k + 31 = 5*y. Suppose k*s = -4*q + 209, 0 = 2*s + q + 2*q - 140. Is s a composite number? False Let g(x) = x + 9. Let n be g(4). Suppose -n*q + 12*q = -3. Suppose q*p - 662 = -53. Is p prime? False Let u(j) = j**2 + j + 1. Let f(t) = 58*t**2 + t + 4. Let m(d) = f(d) - 3*u(d). Let i be 0 - 2 - 28/14. Is m(i) a composite number? True Is 27/(-54) + (-154)/(-4) composite? True Suppose -4 + 1 = y. Suppose -14*t + 256 = -10*t. Is (3 - -3) + y + t composite? False Let b = 1060 - 513. Is b a prime number? True Let v(k) = 40*k**2 + 7*k - 23. Let d be (-12)/(-30) + (-52)/5. Is v(d) prime? True Is (-2028)/(-3) + 1 + -8 a prime number? False Let q = 122132 - 78039. Is q a composite number? True Let p be 7760/(-12)*(-9)/2. Suppose 4*v = 20, -z + 0*v = -5*v - p. Is z composite? True Let u(j) = -468*j - 5. Is u(-3) a prime number? True Suppose 11*o + 14895 = 20*o. Is
{ "pile_set_name": "DM Mathematics" }
et a(u) = 3*f(u) + 4*j(u). Solve a(w) = 0 for w. -1501 Suppose 573*l - 1607*l = -565*l - 515*l + 184. Determine r, given that -22/7*r + 2/7*r**5 + 6/7 - 2/7*r**4 - 12/7*r**3 + l*r**2 = 0. -3, 1 Let t(w) be the third derivative of 1/135*w**5 + 1/108*w**4 + 1/540*w**6 + 0 + 0*w**3 + 24*w + w**2. Factor t(s). 2*s*(s + 1)**2/9 Let v(o) = 122*o**2 - 672*o - 586. Let k(p) = -14*p**2 + 75*p + 65. Let f(q) = 52*k(q) + 6*v(q). Suppose f(r) = 0. What is r? -1, 34 Let p be 48/(-792) + (-136)/(-66) + -9 + 7. What is h in 2/5*h**5 - 118/5*h**4 + p + 0*h + 360*h**2 + 336*h**3 = 0? -1, 0, 30 Let a(f) = 2*f**3 - 17*f**2 - 20*f - 13. Let z be a(9). Let s be (-10)/40 + (-4 - 524/z). Factor 0 + 0*t**2 + 0*t + s*t**3. 3*t**3/7 Let l(b) be the first derivative of -b**4/12 - 2*b**3/3 + 91*b**2/6 + 46. Factor l(u). -u*(u - 7)*(u + 13)/3 Solve 1/10*x**2 + 2*x + 42/5 = 0. -14, -6 Let v(c) be the third derivative of 0*c - 1/180*c**5 + 138*c**2 + 0 - 2*c**3 - 37/72*c**4. Determine l, given that v(l) = 0. -36, -1 Let u(g) = 4*g - 35. Let a be u(10). What is m in 8 - a*m**2 - 3 + 0 = 0? -1, 1 Let d(w) be the first derivative of -3*w**5/35 + 87*w**4/28 - 285*w**3/7 + 3525*w**2/14 - 750*w - 430. Factor d(y). -3*(y - 14)*(y - 5)**3/7 Suppose 2*y - 4 = -0*y. Factor r - 26*r**2 + 25*r**y + 3*r. -r*(r - 4) Let p(j) be the first derivative of 3*j**6/8 + 3*j**5/2 + 9*j**4/4 + 3*j**3/2 + 3*j**2/8 + 453. Factor p(z). 3*z*(z + 1)**3*(3*z + 1)/4 Let p = -65453/2 + 720013/22. Solve 0 - 1/11*j**4 + p*j**3 + 0*j + 0*j**2 = 0 for j. 0, 15 Suppose -6239*d + 34029 = 5104*d. Solve -35/3*k**d + 80/3 + 220/3*k**2 - 340/3*k = 0 for k. 2/7, 2, 4 Let r(b) be the first derivative of b**3 + 2121*b**2/2 - 4254*b - 6614. Solve r(v) = 0 for v. -709, 2 Let q(x) be the second derivative of x**6/4 - 155*x**5/8 - 275*x**4/24 + 775*x**3/12 + 65*x**2 - 2948*x. Determine p so that q(p) = 0. -1, -1/3, 1, 52 Solve -18602/5*u**3 + 6188/5*u**4 - 360*u + 2184*u**2 - 578/5*u**5 + 0 = 0 for u. 0, 6/17, 5 Let b(c) be the first derivative of -7*c**4 - 8*c**2 + 113 - 44/3*c**3 + 0*c. Let b(n) = 0. What is n? -1, -4/7, 0 Let m(z) = 5*z**2 + 20*z + 30. Let b(l) = 2. Let p(g) = 9*g + 42. Let a be p(-3). Let i(w) = a*b(w) - m(w). Factor i(h). -5*h*(h + 4) Let r(y) = 7 + 28 - 80 - 3 + 57*y + 14 + 5*y**2. Let g be r(-12). Determine m, given that 9/5*m**4 + 9/5*m**3 + 0 + 3/5*m**g + 0*m + 3/5*m**5 = 0. -1, 0 Determine u, given that -184*u**2 + 504*u + 71*u**2 + 71*u**2 + 44*u**2 - 673 + 167 = 0. -253, 1 Let z be 872/30 - ((-6)/(-16) + (-731)/1032). Let h = 752/5 + -148. Factor h - 42*f**3 + 12*f + z*f**4 - 9/5*f**2. 3*(f - 1)**2*(7*f + 2)**2/5 Let r(t) be the third derivative of t**5/390 + 544*t**4/39 + 1183744*t**3/39 - 2*t**2 + 109*t + 1. Find a, given that r(a) = 0. -1088 Let w = -386865 + 386865. Find o, given that -243/2*o + w - 27*o**2 - 3/2*o**3 = 0. -9, 0 Let s(q) be the second derivative of 0 - 5/42*q**4 + 2/7*q**3 + 0*q**2 + 1/70*q**5 - 50*q. Solve s(c) = 0 for c. 0, 2, 3 Let m(d) = 23*d**3 + 60*d**2 + 214*d + 147. Let t(y) = -7*y**3 + 3. Let q(i) = m(i) + 3*t(i). Factor q(p). 2*(p + 1)*(p + 3)*(p + 26) What is z in 51*z**3 - 6/7*z**2 + 0*z + 0 = 0? 0, 2/119 Let g be (-4)/11*-1*(-152)/(-24). Let w = g - 7/11. Factor 0 + w*l - 25/3*l**3 - 20/3*l**2. -5*l*(l + 1)*(5*l - 1)/3 Solve 0*v + 0 + 4*v**3 + 1/8*v**4 - 168*v**2 = 0. -56, 0, 24 Let r(m) be the second derivative of -2*m**7/3 - 326*m**6/15 - 257*m**5 - 1315*m**4 - 2952*m**3 - 1944*m**2 + 114*m - 1. Find z such that r(z) = 0. -9, -3, -2, -2/7 Let p = 1633/1836 - 1/1836. Let u(v) be the first derivative of 8 + p*v**3 + 0*v - 2/15*v**5 - 8/3*v**2 + 1/3*v**4. Determine c, given that u(c) = 0. -2, 0, 2 Let y = -236 + 239. Find o such that 36*o**y - 14*o - 78*o - 201 + 225 - 80*o**2 = 0. -1, 2/9, 3 Let -8/9*x**3 + 4/9*x + 4/9*x**5 - 76/9 - 76/9*x**4 + 152/9*x**2 = 0. Calculate x. -1, 1, 19 Let i be 177/(-936) + (888/(-39) - -23). Let a(f) be the third derivative of 0 - 1/30*f**5 + 0*f - 25*f**2 + i*f**4 - 1/120*f**6 + 1/3*f**3. Factor a(d). -(d - 1)*(d + 1)*(d + 2) Let h(n) = n**2 + 23*n - 199. Let v be h(-30). Let z(f) be the third derivative of 0*f + 1/60*f**6 + 1/30*f**5 + 0 - 1/12*f**4 - 1/3*f**3 - v*f**2. Factor z(x). 2*(x - 1)*(x + 1)**2 Factor 2/7*r**3 - 12/7*r**2 - 32/7*r + 0. 2*r*(r - 8)*(r + 2)/7 Let v(w) be the third derivative of -w**6/600 - 17*w**5/300 + 1355*w**2. Determine p, given that v(p) = 0. -17, 0 Let c(b) = 8*b**2 + 15*b + 13. Suppose 31 = -6*m + 1. Let k(u) = -9*u**2 - 15*u - 12. Let n(w) = m*k(w) - 6*c(w). Factor n(q). -3*(q + 2)*(q + 3) Let u(w) be the third derivative of -w**5/180 - 2525*w**4/36 - 6375625*w**3/18 - w**2 - 5949*w. Determine r so that u(r) = 0. -2525 Let n be (163592/16)/13 - (-3)/(-6). Let p = 4717/6 - n. Factor 11/6*c**3 + 9 + p*c**4 + 15/2*c**2 + 27/2*c. (c + 2)*(c + 3)**3/6 Let r = 3349 - 3345. Suppose -4*h + 18 = 5*p, p = 2*h - 5*h - 3. Factor 2/9*o**r + p*o**2 - 6*o - 2*o**3 + 0. 2*o*(o - 3)**3/9 Let r be 354/12 + (-46 - -17). Determine j so that r*j**3 - 2*j**4 + 7*j**2 - 10*j + 4 + 1/2*j**5 = 0. -2, 1, 2 Let g(q) be the third derivative of -q**7/420 - q**6/80 + q**5/120 + q**4/16 - 408*q**2 + q. Solve g(k) = 0. -3, -1, 0, 1 Let w = 623313 + -623305. Let -16/3*p - 10/3*p**2 + 2/3*p**3 + w = 0. What is p? -2, 1, 6 Let z be 1*(-5 - -5)/16. Let 0 - 4*i**4 + 4/3*i**3 + z*i + 0*i**2 + 3*i**5 = 0. What is i? 0, 2/3 Let z(r) be the first derivative of 2*r**5/5 - 3*r**4/2 - 32*r**3/3 + 48*r**2 + 9058. Let z(i) = 0. Calculate i. -4, 0, 3, 4 Let c = 59 + -60. Let f(o) = -7*o**5 + 4*o**4 + 6*o**3 - 6. Let i(k) = k**5 - k**4 - k**3 + 1. Let m(h) = c*f(h) - 6*i(h). Suppose m(g) = 0. Calculate g. -2, 0 Let h be (-25)/2100*(-17 + 15). Let m(q) be the second derivative of 0 - 12*q - 1/7*q**3 - h*q**4 - 2/7*q**2. Factor m(g). -2*(g + 1)*(g + 2)/7 Let b be 2/(-3)*63/35*50/(-30). Factor -4/7*a**b - 2/7*a**5 - 4/7*a**3 + 6/7*a + 6/7*a**4 - 2/7. -2*(a - 1)**4*(a + 1)/7 Let v = 509 + -506. Suppose -v*l - 428 = -434. Solve 12*m - 3/5 - 375*m**4 - 90*m**l + 300*m**3 = 0 for m. 1/5 Let q = -740/101 - -10564/1111. Factor -8/11*w**2 - q*w - 18/11. -2*(2*w + 3)**2/11 Let c(k) be the first derivative of -7*k**4/12 - 2*k**3 + 2*k**2 - 81*k + 11. Let w(s) be the first derivative of c(s). Find a, given that w(a) = 0. -2, 2/7 Let h be 3/120*10056/1257. Let -h*o**2 + 21/5*o - 4 = 0. Calculate o. 1, 20 Solve -36*p**5 + 120*p**4 - 85*p**2 + 112*p - 46*p**2 - 32 + 43*p**2 - 76*p**3 = 0. -1, 2/3, 1, 2 Let a = -652211 - -652214. Factor 1922/3*z + 0 - 124/3*z**2 + 2/3*z**a. 2*z*(z - 31)**2/3 Factor 10/3*k**2 + 7/3*k**3 - 1/3*k - 4/3. (k + 1)**2*(7*k - 4)/3 Let y(p) = 96*p**2 - 266*p + 2. Let m(n) = -49*n**2 - n - 1. Let v(f) = 2*m(f) + y(f). Solve v(h) = 0 for h. -134, 0 Let b be ((-6)/7 - (-42)/(-294)) + 3. Determine m so that -2/3*m**3 + 0 - 4/3*m**2 + b*m = 0. -3, 0, 1 Let a = 542 - 385. Factor 50*l**3 + 5*l**5 + a*l - 157*l + 55*l**4. 5*l**3*(l + 1)*(l + 10) Let r(g) = -4*g - 166. Let k be r(-40). Let n be k*(24/234)/(-4). Find i such that n*i**3 + 0 - 2/13*i**5 + 2/13*i**4 - 2/13*i**2 + 0*i = 0. -1, 0, 1 Factor -2*r**2 - 229*r + 68*r + 97*r + 370. -2*(r - 5)*(r + 37) Let b(t) be the second derivative of t**4/42 + t**3/3 - 44*t**2/7 - 2*t - 556. Factor b(s). 2*(s - 4)*(s + 11)/7 Let y(r) = -9*r**3 + 3*r**2 + 9*r - 3. Let u(h) = -h**4 + 8*h**3 - 2*h**2 - 8*h + 3. Let t be 6/(-54) - 19/(-9). Let n(g) = t*y(g) + 3*u(g). Factor n(m). -3*(m - 1)**3*(m + 1) Find q, given that 3552*q + 1481*q**2 + 345291*q + q**3 + 565*q**2 + 6*q**3 - 4*q**3 = 0. -341, 0 Let y(j) = -j**2 + 22*j - 38. Suppose -a - 2 = -2*v, 4*a - 2*a - 4 = 0. Let o be y(v). Factor 1/3*w**o - 7/6 + 13/6*w. (w + 7)*(2*w - 1)/6 Factor -121*x**3 + 852*x**2 - 279*x - 64*x + 19*x**3 - 1203 - 1122 - 1027*x + x**4. (x - 93)*(x - 5)**2*(x + 1) Let w = -102 + 104. Factor 16*m**4 + 26*m**w + 2*m**5 + 22*m**2 + 34*m + 8*m**2 + 13 - 5 + 44*m**3. 2*(m + 1)**4*(m + 4) Factor -1/5*g**3 - 109/5*g - 112/5*g**2 + 222/5. -(g - 1)*(g + 2)*(g + 111)/5 Let y(n) be the third derivative of 1723969*n**6/320 - 1734473*n**5/160 + 1315*n**4/8 - n**3 + 151*n**2 - 38*n. Find h such that y(h) = 0. 4/1313, 1 Suppose -2*d - c = -52, -3*d - d + 116 = 5*c. Factor -332 + 3*b**2 + d*b + 166 + 166. 3*b*(b + 8) Suppose -8 = h - 0*
{ "pile_set_name": "DM Mathematics" }
late (-10)/((-180)/(-18))*14. -14 What is the value of (10/(-1725)*-6)/((-2)/10*2)? -2/23 What is 8/56*((-2)/(-6))/((-31)/(-930))? 10/7 Calculate (-7)/((-462)/(-18))*((-70)/(-15))/7. -2/11 What is the value of (-20)/(-4)*((-85)/1360)/(10/24)? -3/4 Evaluate 78/(-9)*240/160. -13 Evaluate 35*(128/2240)/(1/(-5)). -10 Evaluate (-105)/(-84)*((-144)/(-280))/(3/14). 3 Evaluate ((117/9)/(-130)*5)/((-4)/304). 38 Evaluate ((-12)/(-3))/(4408/116). 2/19 What is (-154)/6*(-180)/420? 11 Calculate (-6)/(-4)*(14/(-105))/((-4)/(-160)). -8 Evaluate (-9)/3*32/24. -4 What is the value of (7*4/(-4))/(12/(-24))? 14 Evaluate 1/(-3)*(-68)/(-34). -2/3 Evaluate 6/2*-14*9/(-378)*-3. -3 What is the value of 9/(9/32)*410/656? 20 Evaluate ((12/10)/((-200)/500))/8. -3/8 Calculate 19*(560/(-28))/(-20). 19 Evaluate 1/(-1)*(9610/2170)/((-1)/7). 31 ((3198/(-39))/(-41))/(1/11) 22 Evaluate (1/14)/(8/48). 3/7 Evaluate (-13572)/(-3915)*(-5)/4. -13/3 Evaluate 327/(-545)*(-1*10)/2. 3 Evaluate ((-25)/(-1190))/(-5)*-14*(-4)/(-6). 2/51 ((2/(-3))/(5*(-14)/(-945)))/1 -9 What is the value of 35*40/3500*5*(-2)/(-26)? 2/13 Evaluate ((-6)/39)/(10/(-130))*(-8)/(-32). 1/2 What is the value of (-14)/(-5)*-35*8/504? -14/9 5/(((-90)/135)/(9/((-18)/(-8)))) -30 What is 174867/83270*(-2)/(-14)*-1? -3/10 (-6)/(-10)*235/(-987) -1/7 Evaluate 1365/117*(-48)/40. -14 (39/2)/(8/16)*(-2)/3 -26 Evaluate 4/(95/((-31350)/(-180))*(-1)/(-3)). 22 What is 4/4*(-28)/24*(-22)/(-77)? -1/3 What is the value of ((8/12)/(2*(-5)/15))/(-8)? 1/8 What is the value of (-21)/21*1/(-39)*(-8)/(-4)? 2/39 (-4)/1*(-2)/8*-7 -7 Calculate ((-19)/779)/(17/(-17)). 1/41 What is the value of ((1/(-12))/1)/((10584/96)/49)? -1/27 What is the value of (((-1078)/(-196))/(22/4))/((-2)/(-22))? 11 What is ((-40)/(-6))/(-14*85/1428)? -8 What is ((-37)/(-74))/((-3)/52*(-10)/(-15))? -13 Evaluate (2/(-23)*(-522)/696)/((-6)/8). -2/23 Calculate ((-162)/30)/(-9)*(-3)/(54/(-20)). 2/3 What is 1*-13*10/(-1170)? 1/9 Calculate (-1)/((-3)/126*6). 7 What is the value of 295/708*6/5*42? 21 Evaluate (4/(-4)*2)/(14/(294/(-63))). 2/3 Calculate (-5)/(30*1/(-78)). 13 40*(-3)/3*-1*(-77)/(-154) 20 What is 112/(-14)*(12/90)/((-12)/(-15))? -4/3 What is the value of (-1*60/25)/(1794/(-345))? 6/13 What is (75/3)/(34/(-1054)*-31)? 25 Evaluate ((-70)/280)/((-25)/(-8)). -2/25 What is the value of (-6)/15*(-850)/(-136)*(-8)/(-2)? -10 What is the value of (2/(-2))/(((-510)/(-68))/((-6)/(-4)))? -1/5 Evaluate 30/(-4)*(2590/7400)/((-14)/(-4)). -3/4 What is (53/265)/(((-18)/120)/((-6)/1))? 8 Evaluate 240/580*174/12. 6 What is the value of (21060/(-440))/(-81)*22? 13 Evaluate ((-6)/8)/(12376/2912). -3/17 What is the value of (((-48)/21)/(-4))/((-2)/21)? -6 What is the value of ((-21)/(-36)*22/11)/((-2)/4)? -7/3 What is ((8/6)/(-4))/(3420/1080)? -2/19 Evaluate (28/2)/((-33)/((-99)/(-6))). -7 What is the value of ((-7)/(-308))/((-80)/192*(-4)/10)? 3/22 Calculate (295/(-1239))/((-2)/7). 5/6 (12/3)/(-1)*((-102)/(-12))/(-17) 2 Calculate ((-3)/(-6))/((-70)/60). -3/7 Evaluate (1/2)/((-1387)/584*2). -2/19 What is (44/(-14))/((-258)/(-903))? -11 Evaluate (145/(-464))/((-15)/3). 1/16 What is the value of (-760)/(-240)*(9/(-3)*-1)/(-2)? -19/4 Evaluate (3/6)/(-24*(-13)/312). 1/2 (30/(-24))/((-25)/24) 6/5 Calculate ((-2619)/(-8730))/(5/(50/(-48))). -1/16 Evaluate (-21*(-12)/168)/3*2. 1 What is the value of (-2)/(-5)*((-9405)/152)/(-33)? 3/4 Evaluate ((-2)/8)/(168/(-392)*182/12). 1/26 Calculate (((-152)/(-950))/((-3)/10))/((-3)/(-9)). -8/5 What is the value of 11/(396/(-16))*-10*5/(-100)? -2/9 (3094/18564)/(2/336) 28 What is the value of (-39)/52*1*(-7)/(1596/(-32))? -2/19 Calculate 6/1*(-15)/(-120)*-4. -3 Evaluate (-5)/(-17*(-65)/1989). -9 144/(-56)*602/(-258) 6 12/16*8/15 2/5 -1*(1554/(-70))/37 3/5 What is the value of 3/3*-50*54/(-180)? 15 ((-20)/(-4)*18/45)/((-16)/(-8)) 1 What is the value of (18/(-36))/((-7)/(-322))? -23 Evaluate ((-2)/(-1)*38/152)/(-21). -1/42 (-4)/(-14)*6*7308/(-2088) -6 Calculate ((-3)/(-6))/((-117)/(-3744)). 16 ((-4)/2)/((-228)/(-171))*4/282 -1/47 Calculate (42/(-49)*-2)/(5/((-105)/6)). -6 What is the value of 71/(4615/130)*2/(-4)? -1 What is ((-3)/((-4)/(-8)*4))/(17/(-34))? 3 What is ((-11)/33)/(11/(-242))*4/8? 11/3 ((-18)/(-42))/(1782/(-189)) -1/22 Calculate 2/((-37)/((-37851)/66)). 31 Calculate 18216/(-7128)*9/1*-1. 23 Evaluate ((-42)/(-72))/((-21)/(-12)). 1/3 What is (1332/(-63))/37*14/20? -2/5 What is (17*7/21)/(3/(-36)*4)? -17 Evaluate (-85)/((-3995)/188)*9/6*-1. -6 ((-2)/(-11*23/506))/(4/(-26)) -26 What is ((-30)/135)/((-6)/(-54))*2? -4 1/1*2060/412 5 Calculate 7/105*10*510/20. 17 (-105)/((-98)/(-14))*2/5 -6 What is (-234)/(-91)*252/(-54)? -12 Calculate 4*-14*(-818)/(-1636). -28 What is ((-385)/28)/((20/8)/1)*-4? 22 Evaluate (-615)/(-246)*2/(-30)*(-228)/2. 19 2/3*273/(-26) -7 What is 5/18*48/60*(-29)/58? -1/9 Evaluate (-2)/5*((-527)/62)/17. 1/5 Calculate ((80/(-88))/(-5))/(-2). -1/11 (4/5)/((-268)/(-134)) 2/5 What is the value of 8*6*(-235)/1128? -10 What is the value of ((-27)/(-36))/((2079/(-72))/7)? -2/11 What is the value of (-508)/(-4445)*(-21)/66? -2/55 What is (-7)/(-1)*(-270)/189? -10 45/(-126)*(-20)/(-10) -5/7 ((-3)/78)/((-19)/38) 1/13 (-686)/(-1029)*(-1)/(-2) 1/3 (2/(-9))/((-4)/396) 22 (-5)/(100/70)*4/(-308) 1/22 Evaluate (-594)/(-22)*14/(-14). -27 What is 20/275*180/(-144)? -1/11 What is (18/(-252))/((-48)/(-128))*3*1? -4/7 Evaluate ((-169)/(-10478))/(2*2/(-8)). -1/31 ((-74)/((-11544)/(-585)))/((-10)/4) 3/2 What is the value of -3*2*(-44)/132? 2 What is the value of (-4)/28*(-126)/108? 1/6 Calculate 35/((-490)/21)*(36/(-7))/6. 9/7 Evaluate ((-3)/10)/(144/(-96)). 1/5 (3/7)/((-41)/((-7462)/117)) 2/3 What is the value of (-376)/14288*2/2? -1/38 ((-7)/28*(-88)/(-2))/(-1) 11 ((-7683)/788)/(6/(-8)) 13 (1*(-4)/18)/(((-272)/(-54))/(-17)) 3/4 Evaluate (-1)/((-1)/(-28)*805/230). -8 What is (8/10)/(96/1320)? 11 What is the value of 6/(-9)*3*10/(80/52)? -13 What is (15/(-60))/(12/12)? -1/4 Calculate -5*18*(-2)/30. 6 Calculate (-2)/(-9)*8/3*666/(-296). -4/3 ((-4)/30)/((90/5)/(-540)) 4 What is the value of (-4032)/(-2352)*(-147)/9? -28 13*8/((-208)/26) -13 What is the value of (-26)/(-2548)*42*3/(-3)? -3/7 What is ((-292)/(-365))/(4/40)? 8 Evaluate 351/(-39)*(-12)/9. 12 (532/(-6))/(-19)*21/(-7) -14 Calculate 796/(-1393)*42/(-32). 3/4 Evaluate (((-76)/38)/((-20)/(-5)))/((-2)/(-16)). -4 What is ((-9)/(-90)*-10)/(3/(-51))? 17 What is (-3472)/(-1116)*(-12)/(-7)? 16/3 Calculate (600/(-225))/((-16)/9). 3/2 What is (-4)/(-8)*2880/(-90)? -16 What is (6*(-12)/1176)/(1/((-14)/4))? 3/14 Evaluate 63/3*(2/(-30))/((-24)/20). 7/6 Calculate 18/210*154/(-132). -1/10 Calculate 45/(-75)*6/27. -2/15 (30/(-30))/(14*2/(-4)) 1/7 What is the value of (11/(165/(-20)))/(8*11/(-594))? 9 What is the value of (1/1*-6)/((-81)/18)? 4/3 What is (((-49)/14)/7)/((-1215)/(-54))*-6? 2/15 What is ((-7)/147)/(207/(-322))? 2/27 Calculate (351/(-54))/(2/4*-1). 13 What is ((-21)/7)/((-15)/10)? 2 What is ((-377)/(-29))/(-52)*(-12)/10? 3/10 What is the value of (720/(-6750)*25)/((-2)/36*-2)? -24 (-1)/(-15*(-2)/(-1020)) 34 (-28*(-17)/1190)/((-2)/10) -2 ((-161)/(-7)*-1)/((3/(-1))/3) 23 ((-6)/(-1))/((81/(-180))/((-27)/90)) 4 Calculate -66*10/(-90)*(-15)/10. -11 Evaluate ((-48)/20)/(484/(-1815)). 9 Calculate ((-9)/(-2))/((-107457)/16856). -12/17 Evaluate (17/(153/(-36)))/((-1)/2*-3). -8/3 Evaluate 28/3*-27*30/(-17010). 4/9 Evaluate ((-13)/(-910)*-10)/(4/28). -1 Calculate ((-327)/(-545)*5/(30/(-8)))/(-1). 4/5 What is the value of 4/((-120)/9)*(-42)/(-63)*3? -3/5 Evaluate (10/(-30)*1/(-4))/((-84)/(-112)). 1/9 ((-4)/(-18))/(21804/(-8532)) -2/23 Evaluate ((-3)/(-2))/((-18)/(-12))*2130/142. 15 Calculate 4*(36/(-14))/(100/(-175)). 18 What is (-99)/308*-7*420/45? 21 Evaluate ((-16)/520)/(160/(-416)). 2/25 (-14)/(-28)*11/(330/72)*5 6 (-26)/6*(-1046)/(-6799) -2/3 Evaluate (892/669)/(1/9). 12 What is ((-15)/(-6))/(-3*((-10)/(-15))/(-2))? 5/2 What is the value of (-8*(-252)/(-448))/((-6)/12)? 9 4/(864/168)*(-2)/21*3 -2/9 Calculate ((-200)/240)/(4/(-2)*1/(-4)). -5/3 What is (18/84*(-4)/3)/(3/42)? -4 What is the value of 4/1*2/4*(-306)/36? -17 Calculate ((-550)/(-330)*9/(-15))/((-4)/(-42)). -21/2 Evaluate 21/9*10764/966. 26 What is the value of ((-520)/(-78))/(36/6)? 10/9 Evaluate ((-96)/832)/(-1*4/8). 3/13 What is the
{ "pile_set_name": "DM Mathematics" }
o six dps. 0.000046 What is -1.7233922 rounded to two decimal places? -1.72 Round -40.8916 to the nearest integer. -41 What is -0.000943502 rounded to six decimal places? -0.000944 What is 379018.1 rounded to the nearest 10000? 380000 What is 0.4442341 rounded to one decimal place? 0.4 Round -165451230 to the nearest one hundred thousand. -165500000 Round -2.682 to the nearest 100. 0 What is -0.0309477 rounded to three decimal places? -0.031 Round -0.002404266 to five dps. -0.0024 Round -5247679 to the nearest 1000. -5248000 Round -83309100 to the nearest one million. -83000000 What is -156900.5 rounded to the nearest 10000? -160000 What is 87676000 rounded to the nearest one million? 88000000 What is 33370710 rounded to the nearest 100000? 33400000 What is 10248940 rounded to the nearest 1000000? 10000000 Round 0.2929116 to three dps. 0.293 What is 176096.1 rounded to the nearest one thousand? 176000 What is -5533.896 rounded to the nearest 10? -5530 Round 22651900 to the nearest 1000000. 23000000 What is 811646100 rounded to the nearest 1000000? 812000000 Round 53.3961 to the nearest 10. 50 Round -0.000627896 to six decimal places. -0.000628 What is -122470720 rounded to the nearest 1000000? -122000000 Round -234.2154 to the nearest ten. -230 What is -53395300 rounded to the nearest 100000? -53400000 What is 1175072 rounded to the nearest one million? 1000000 Round 53.4989 to zero dps. 53 Round 0.0001766015 to 6 decimal places. 0.000177 What is -0.05646501 rounded to two dps? -0.06 Round -1976616 to the nearest 100000. -2000000 Round -0.144185 to 3 dps. -0.144 Round 0.0000030272356 to seven decimal places. 0.000003 Round -0.00001028456 to 7 dps. -0.0000103 What is 44704.18 rounded to the nearest ten? 44700 What is 317724000 rounded to the nearest one million? 318000000 What is 46874.1 rounded to the nearest 1000? 47000 What is -6080.931 rounded to the nearest one hundred? -6100 What is -4043.344 rounded to the nearest ten? -4040 What is -0.04589677 rounded to 5 decimal places? -0.0459 Round 7872.04 to the nearest 100. 7900 What is -242.072 rounded to the nearest 100? -200 Round 33792 to the nearest one hundred. 33800 What is 12.749245 rounded to two dps? 12.75 Round 6.18482 to the nearest integer. 6 What is -2.2765017 rounded to three decimal places? -2.277 What is -975839.81 rounded to the nearest one thousand? -976000 What is 260234 rounded to the nearest one hundred thousand? 300000 What is -0.00005396016 rounded to six dps? -0.000054 What is -6960700 rounded to the nearest one hundred thousand? -7000000 Round 0.0187842 to two dps. 0.02 What is 0.0000553982 rounded to six decimal places? 0.000055 Round -9.835798 to 1 dp. -9.8 Round 140982660 to the nearest 100000. 141000000 What is -325.552 rounded to the nearest 10? -330 Round -0.01375072 to four decimal places. -0.0138 Round -439.2 to the nearest integer. -439 What is -0.00000060005384 rounded to seven dps? -0.0000006 What is 10140900 rounded to the nearest 100000? 10100000 Round -31751280 to the nearest one million. -32000000 What is -1269.373 rounded to the nearest ten? -1270 What is 36823.32 rounded to the nearest one hundred? 36800 What is -10.090285 rounded to the nearest integer? -10 What is 246943.1 rounded to the nearest one thousand? 247000 What is 64.1898 rounded to one dp? 64.2 What is -0.00000761065 rounded to seven decimal places? -0.0000076 What is -1.350738 rounded to 3 dps? -1.351 What is -87838599 rounded to the nearest one hundred thousand? -87800000 What is 700972500 rounded to the nearest one million? 701000000 What is -0.005416401 rounded to five dps? -0.00542 What is 2016.8649 rounded to the nearest 10? 2020 Round 56243.1 to the nearest ten thousand. 60000 What is -0.3 rounded to two decimal places? -0.3 Round 70253 to the nearest ten thousand. 70000 What is 0.0897746 rounded to 3 dps? 0.09 Round 0.035139 to 1 decimal place. 0 Round 2.113975 to three dps. 2.114 What is -0.0017006 rounded to 5 dps? -0.0017 What is 33042.524 rounded to the nearest ten? 33040 What is 1668678 rounded to the nearest 10000? 1670000 Round -2903.1 to the nearest ten thousand. 0 What is -4.10009 rounded to 1 dp? -4.1 Round -250736900 to the nearest 100000. -250700000 Round 432104.62 to the nearest one hundred thousand. 400000 Round -86189020 to the nearest one hundred thousand. -86200000 Round 0.000097245 to six dps. 0.000097 What is 10485460 rounded to the nearest one hundred thousand? 10500000 Round 0.0059360514 to 6 dps. 0.005936 What is -9814.3028 rounded to the nearest ten? -9810 Round -0.023309804 to 4 dps. -0.0233 Round 0.0000002560195 to 7 decimal places. 0.0000003 Round 1.654039 to one dp. 1.7 What is -1478.397 rounded to the nearest integer? -1478 Round -1598760 to the nearest 1000. -1599000 Round 62.215 to the nearest ten. 60 What is -0.1908594 rounded to 4 decimal places? -0.1909 Round -19.128027 to the nearest integer. -19 Round -2.86439 to 1 decimal place. -2.9 What is 0.000449226 rounded to five decimal places? 0.00045 Round -3.243239 to one decimal place. -3.2 What is -590214.2 rounded to the nearest 10000? -590000 Round -21.786 to the nearest one hundred. 0 What is -6.48665 rounded to the nearest integer? -6 Round -162676.3 to the nearest ten thousand. -160000 What is -0.00016813395 rounded to 6 dps? -0.000168 Round -47112000 to the nearest 1000000. -47000000 What is -0.0001931187 rounded to 7 decimal places? -0.0001931 Round 22.543283 to the nearest 10. 20 What is 0.000052218 rounded to 6 dps? 0.000052 Round -25901.68 to the nearest ten. -25900 Round -5.14063 to two decimal places. -5.14 Round -1316.6375 to the nearest 100. -1300 Round 0.09871446 to five decimal places. 0.09871 What is -0.03614069 rounded to three decimal places? -0.036 Round 0.0008521828 to five decimal places. 0.00085 Round -0.00000166091 to 7 dps. -0.0000017 What is 23.68822 rounded to 0 decimal places? 24 What is 6840470.5 rounded to the nearest ten thousand? 6840000 What is 0.0000332224 rounded to six decimal places? 0.000033 Round -23.571363 to 2 decimal places. -23.57 What is -59866.23 rounded to the nearest 100? -59900 Round 0.1969894 to one decimal place. 0.2 Round 4913129.3 to the nearest 1000. 4913000 Round -298225 to the nearest one hundred. -298200 Round 16058300 to the nearest one million. 16000000 What is -0.002712991 rounded to 5 decimal places? -0.00271 What is -334528.91 rounded to the nearest one hundred thousand? -300000 What is 744611 rounded to the nearest 1000? 745000 Round -4341000 to the nearest 100000. -4300000 Round 21.297407 to 1 dp. 21.3 Round -142644 to the nearest one hundred thousand. -100000 What is -404.86 rounded to the nearest 1000? 0 Round -2995.4524 to the nearest one thousand. -3000 Round 0.321216 to three dps. 0.321 Round 1.032579 to three decimal places. 1.033 Round 0.00001217263 to seven dps. 0.0000122 Round 6303400 to the nearest one hundred thousand. 6300000 Round 7731139.1 to the nearest 10000. 7730000 Round -0.006737628 to five decimal places. -0.00674 What is 6218800 rounded to the nearest 1000000? 6000000 What is 0.0047088743 rounded to 5 dps? 0.00471 What is -6150900 rounded to the nearest 1000000? -6000000 What is 0.013004142 rounded to 3 dps? 0.013 What is -0.04395574 rounded to three decimal places? -0.044 Round -0.0000006328197 to seven dps. -0.0000006 Round -0.0000143309 to six decimal places. -0.000014 What is -324548860 rounded to the nearest 100000? -324500000 Round -9260.988 to the nearest 100. -9300 What is 110.0291 rounded to the nearest ten? 110 Round -0.0000010432299 to seven decimal places. -0.000001 Round -2217085 to the nearest one hundred thousand. -2200000 Round 8849480 to the nearest 1000000. 9000000 Round 0.00133712 to six dps. 0.001337 What is 7293119 rounded to the nearest 1000000? 7000000 Round -25035500 to the nearest one hundred thousand. -25000000 Round -0.080862 to four dps. -0.0809 Round 0.030949926 to three decimal places. 0.031 What is -0.00008682835 rounded to seven dps? -0.0000868 What is -224196.2 rounded to the nearest 10000? -220000 What is 21561.848 rounded to the nearest 1000? 22000 What is 4.094925 rounded to the nearest integer? 4 What is -0.000608555 rounded to five dps? -0.00061 Round 0.00097134081 to four dps. 0
{ "pile_set_name": "DM Mathematics" }
and -25/6. 12 Let b be 1639736/(-126) + (-4)/18. Let r = b + 390347/30. What is the common denominator of r and -5/24? 120 Let a be 6*(204/9)/(-4). What is the common denominator of -73/20 and ((-369)/3)/(6 - a)? 40 Let s be 3 - ((-53)/(-26) - 0). Let i = s + 249/52. What is the common denominator of 50/40 - (-122)/12 and i? 12 Let s = -1471324/13 - -1459535793/12896. Let l = -261/62 - s. Let g = 7875 - 126065/16. What is the common denominator of l and g? 32 Let x be (-4)/6 - ((-8)/3 + -3). Suppose 3*o + 120 = 2*k, -x*k - 5*o = 177 - 527. Calculate the least common multiple of 18 and k. 198 Let j be 7/(-35) + (-814)/90. Let c = -739/630 - j. Calculate the common denominator of c and 55/4. 28 Let a = -97709/276 - -1397/92. Let r = -24 - -368. Let c = a + r. What is the common denominator of c and -24/11? 66 Let a be (0 - -53)*(-26 - 3). Let f = a + 36877/24. What is the common denominator of f and -95/8? 24 Let n be -4 - ((-1159)/25 - 0). Let x = n - 75323/1800. Calculate the common denominator of x and -43/18. 72 Let t = 2907 - 31923/11. What is the common denominator of 2/9 and t? 99 Let g(s) be the second derivative of s**4/12 - s**3 + s**2 + s. Let m = -1 - -12. What is the smallest common multiple of g(6) and m? 22 Let p(h) = h**3 - 5*h**2 + 4*h - 4. Let v(x) = -2*x - 7. Let t be v(-6). What is the lowest common multiple of 18 and p(t)? 144 What is the common denominator of 73*-3*(-6)/(-1296) and -7/8? 72 Find the common denominator of -10*(-30)/(-2275) - 6/39 and -4/65. 455 Suppose 14 = 5*h + 4, y = -5*h + 25. Let t(u) = 5*u + 6. Let g be t(-3). Let c = y + g. Calculate the lowest common multiple of c and 4. 12 Let o = -17028 + 62918458/3695. Let n = 129357/59120 + o. Find the common denominator of 65/2 and n. 16 Calculate the lowest common multiple of 2/10 - (-817)/215 and 2*1*133/38. 28 Let i = 40 + 30. Suppose -2*d + 33 + 63 = 0. Let p = i - d. What is the lowest common multiple of p and 14? 154 Let j = -1031 - -14393/14. Suppose -9*g = -2*g + 10878. Calculate the common denominator of j and ((-4)/(-18))/(112/g). 84 Let h = 16949 + -31325/2. Let t = -1241 + h. What is the common denominator of t and -41/8? 8 Suppose -20*u + 4053 = u. Calculate the least common multiple of 1 and u. 193 Let h = 3/1790 + 63527/10740. Calculate the common denominator of h and (-20)/(-8) + (-1)/(-6). 12 Let l = 45628520/13 + -2317893173/663. Let n = 13819 - l. What is the common denominator of n and -149/24? 408 What is the least common multiple of 19 and (5 - 24)/(9/(-90))? 190 What is the smallest common multiple of ((-4)/(-16) + -4)/((-2)/8) and 10? 30 Suppose -2*y + 2 + 2 = -4*u, 5*y + 2*u - 70 = 0. Calculate the common denominator of 73/12 and 3 - (-9)/y*22. 12 Let n be -15 - ((-16)/10)/((-2)/(-5)). Suppose 4*z = 3*i - 63, -6*z = -i - 4*z + 23. Let a = i + n. Calculate the smallest common multiple of 44 and a. 132 Calculate the smallest common multiple of (-6)/45 - 951/(-45) and 3. 21 Let k = 26372 - 791087/30. Find the common denominator of 149/288 and k. 1440 Let d = -9042/7085 + -10192311/1303640. Let u = d - -54/115. What is the common denominator of u and -62/65? 520 Let i = 1 + 32. Let g be (18/8)/((-12)/32). Calculate the common denominator of 48/11 and (-731)/(-33) - g/i. 33 Let s = 6 + -3. Suppose -s*q = q - 8. Suppose -11*b - 154 = -176. What is the smallest common multiple of q and b? 2 What is the common denominator of -10 + -2*414/(-66) and -67/64? 704 Suppose -4*j = -11*t + 7*t - 136, 4*t - 29 = -j. Calculate the lowest common multiple of j and 15. 165 Let y = 211907/20 - 10598. Let x = -3261/104 - -341/13. Find the common denominator of y and x. 40 Let q = -53377/7730 + 4/773. Calculate the common denominator of -24/85 and q. 170 Let w be (-12)/(-8)*4/6. Suppose -w = -u + 2. Calculate the lowest common multiple of 44 and (-4 - 60/(-9))*u. 88 Let s = -1250 + 1316. What is the smallest common multiple of 12 and s? 132 Let n = 398147/40 - 9953. What is the common denominator of n and -97/22? 440 Let k be (-2 - (-27 - -2)) + 0. Suppose -4*n - 2*m = -38, 0 = 4*n + 3*m + 2*m - k. Calculate the smallest common multiple of n and 12. 12 Let r = 2113/6 - 17063/48. Calculate the common denominator of r and 13/2. 16 Find the common denominator of 25/2 and 11613/(-4284) + 2 - (-1)/4. 102 Suppose 3*r = 2*r + 2. Let x(z) = z + 5. Calculate the lowest common multiple of 1 and x(r). 7 Let y = 418 - 402. Calculate the smallest common multiple of 264 and y. 528 Suppose 10*g + 5 = 15*g. Calculate the common denominator of 47/22 and (g/3)/(152/(-855)). 88 Find the common denominator of 9/((-126)/35) + -32 and -41/6. 6 Let r = -145 - -3199/22. Find the common denominator of r and -107/6. 66 Suppose -f - 3*h + 2 = -5*h, -2*h = -5*f - 6. Let a(x) = x**2 + 6*x. What is the lowest common multiple of a(-8) and (f/5 - (-15)/(-25)) + 9? 16 Suppose 18*j = -17*j + 2520. Calculate the smallest common multiple of j and 66. 792 Suppose 4*k - 3*q - 159 = 0, 92 = 2*k - 3*q - q. What is the lowest common multiple of k and 72? 72 What is the least common multiple of (-173)/2*-2 - (-5)/(-1) and 30? 840 Let q(c) = -c**2 - 13*c + 36. Let d = -14 - 1. What is the least common multiple of 6 and q(d)? 6 Let z(w) = -w**2 - 4*w - 5. Let x(p) = p + 1. Suppose 0*c = 2*c - 2. Let k(h) = c*z(h) - 4*x(h). Calculate the smallest common multiple of 4 and k(-6). 12 Let u = -1418/465 - 14/93. Let o = -202745/9286 - -1/13929. Find the common denominator of o and u. 30 Let k(g) = -g**3 - 13*g**2 - 17*g - 12. Let q(o) = o + 2. Let j be q(-14). Let d be k(j). Calculate the least common multiple of 28 and (3/2)/(9/d). 56 Let z = 362371/199035 + 7/4423. Find the common denominator of 85/63 and z. 315 Let c be (-7 + -1 - 3) + 1. Let d be (-8)/20 + (-24)/c. Suppose -33 = d*i - 5*i. Calculate the least common multiple of 7 and i. 77 What is the common denominator of (4/10)/((-9960)/650 - -16) and 155/198? 198 Let z be ((-1)/(-3))/((-2)/(-18)). Find the common denominator of (-238)/(-12) - (-6)/z and -5/6. 6 Let l be (-1 - 1)*(5/(-12425))/(-1). Let s = l + 42269/29820. What is the common denominator of 109/10 and s? 60 Suppose 8 = 3*y - 7. Suppose -y*p + i + 0*i + 32 = 0, -4*p = 4*i - 16. Calculate the smallest common multiple of p and 32. 96 Calculate the lowest common multiple of 108 and (-40)/(-740) - (-442)/37. 108 Let i = -102 + 109. Calculate the lowest common multiple of 1 + (i - (0 - -4)) and 94. 188 Let d = 24 + 34. Find the common denominator of -5/18 and -4 - (-12)/6 - d/24. 36 Let z(c) = -2*c**3 - 10*c**2 - 5*c - 9. What is the lowest common multiple of 24 and z(-5)? 48 Calculate the common denominator of -69/10 and (-28)/(-6)*69/(-12052). 1310 What is the common denominator of (14/((-47880)/(-27)))/(18/(-428)) and -3/10? 570 Let q = -19 - -16. Suppose j - 18 = -3*m, -5*m + 3*m - 4 = -2*j. What is the smallest common multiple of (-39)/(-26)*(-2)/q and j? 6 Let a = -116949/20 - -5849. Let l(w) = 5*w**2 + 3*w + 8. Let b be l(5). Let n = -2061/14 + b. What is the common denominator of a and n? 140 Suppose 238 = 5*a - 3*m, 2*a - 97*m + 92*m = 80. Calculate the least common multiple of a and 140. 700 Let o(z) = -z**3 + 4*z**2 + 8*z - 7. Calculate the smallest common multiple of o(5) and 3/3*(100/(-2))/(-5). 40 Let k = 42 - 35. Let b = -43 + 52. Calculate the least common multiple of k and b. 63 Let u(j) = j**3 + 3*j**2 - j - 1. Calculate the least common multiple of u(2) and 2 + (-60)/(-30) + (-1 + 3 - 5). 17 Calculate the smallest common multiple of 78 and 10 - (3 - (-12)/4) - 0. 156 Let g = 3417/8 - 429. What is the common denominator of g and -37/1145? 9160 Let g be (28/8)/((-2)/(-4)). Let w = 352709/22 + -16028. Calculate the common denominator of w and (g/(-42))/((-2)/50). 66 Let f = -6379/146 - -14/73. What is the common denominator of f and ((-3)/2)/(24/116)? 4 Let h be 117/45 + (-6)/10. Suppose 5*p = -3*i + 35, p - 30 = -h*i - 9. Calculate the lowest common multiple of i and 2. 10 Let b be ((-367)/6)/(3/(-45)). Let k = b - 887. Calculate the common denominator of 4 + -6 - (-150)/33 and k. 22 Let q = -11480 - -688891/60. Let x = 444 - 2221/5. Find the common denominator of q and x. 60 Suppose 132 = 5*a - 168. What is the smallest common multiple of a and 40? 120 Suppose -3*s - z +
{ "pile_set_name": "DM Mathematics" }
*l + 1280*l**3 - 2528*l**3 + 1261*l**3 + (0*l + l + l)*(-3 + 3 + l**2). 15*l**3 + 8*l Expand (-14*q - 42*q + 12*q)*((-4 + 4 + q)*(2 - 3 + 0) + (-4 + 2 + 0)*(0 + 2*q + 0)). 220*q**2 Expand (0 + 5 - 6)*(0*a + 2*a + a - 4 + 4 + 2*a + (-3 + 1 + 1)*(-2*a - 2*a - a)). -10*a Expand (-1 + 1 + 4)*(2*o**2 + 2*o**2 - 7*o**2) + (4 - 1 - 2)*(-4 + 3*o**2 + 4). -9*o**2 Expand (-7 + 4 + 4)*(3 + 2 - 7)*(9 + 0 + 0)*((1 - t - 1)*(-2 - 3 + 4) + t + 0 + 0). -36*t Expand (1 - 1 - 3*k)*(-877*k**4 + 69*k**4 + 500*k**4). 924*k**5 Expand (-s - s + 0*s)*(-1355*s - 3*s**4 + 1353*s - 3*s**4). 12*s**5 + 4*s**2 Expand (8*g - 2*g - 2 - 8*g)*(0*g + 0*g - 2*g + (4*g + 0 + 0)*(0 + 3 + 0) - 3 + g + 3 + 0*g - g + 3*g). -26*g**2 - 26*g Expand (-130*y + 264*y - 132*y - 6)*(-3*y**2 + y**2 + 0*y**2). -4*y**3 + 12*y**2 Expand -4*l + 4*l + 2*l**4 + (-3 + 3 - l)*(12*l**3 + 6*l**3 - 2*l**3). -14*l**4 Expand (3*m**2 + 2*m**2 + 0*m**2)*(-5*m - 3*m - m + (-m - 1 + 1)*(-2 + 5 - 1) - 6*m - 3*m + 2*m - 2*m + 0 + 0). -100*m**3 Expand (1 + 0 - 2)*(11 + 28*f - 56 + 46). -28*f - 1 Expand (-10 - 5*t + 10)*(-t - 2 + 2)*(-9 + 1 - 2). -50*t**2 Expand (3 - 51*b - 54*b - 4)*(5*b + 2*b - b). -630*b**2 - 6*b Expand 43*v**4 - 4*v**4 - 16*v**4 - 5*v**3 + 5*v**3 + 2*v**4 + (-2*v**2 - v**2 + 4*v**2)*(-3*v + 2*v**2 + 3*v + (3*v - 4 + 4)*(3*v - 3*v + 2*v)). 33*v**4 Expand (-3 + 3 + 2*d + (-4 - 8 + 8)*(6 - 6 + 10*d))*(5 - 1 - 2)*(1 + 0 - 3). 152*d Expand ((5 - 3 - 3)*(-1 + 2*h + 1) - 3*h - h + 2*h)*(-42 + 5 - 12)*(-4 + 4 - 5). -980*h Expand (-3 + 1 + 0 + (-9 - 1 + 3)*(-1 + 1 + 3))*(z**3 + z - z). -23*z**3 Expand (0*b**4 + 6*b**4 - 3*b**4)*(-2 - 1 + 1)*(3*b - 3*b + 3*b)*(7 - 1 + 0). -108*b**5 Expand (-2 + 1 + 0)*(-4*z**3 + 3*z**3 - 2*z**3) + (9*z**2 - 4*z**2 + 9*z**2)*(2 + 2*z - 2). 31*z**3 Expand (y**3 + 3*y**3 - 2*y**3)*(y**2 - 8*y + 8*y) + (5*y - 7 + 7)*(y - 3*y + y)*(4*y**3 - 2*y**3 - 4*y**3). 12*y**5 Expand (-t + 0*t - 2*t)*(-31*t**4 + 226*t**4 + 3*t**4). -594*t**5 Expand 2*y**5 + y**5 - 2*y**5 - 2*y + 2*y + y**5 + (31*y**4 - 27*y**4 - 36*y**4)*(6*y - y - 3*y). -62*y**5 Expand (-3*w**4 - 27*w**4 + 68*w**4)*(-5 + 3 - 4)*(-3*w - 2*w + 2*w). 684*w**5 Expand (18 + 74 - 19)*(-219*q + 24*q**5 + 219*q). 1752*q**5 Expand (2 + u - 2)*(81 + 41 + 18) + 8*u - 10*u - 15*u. 123*u Expand (6*w - 2*w - 2*w)*(3*w**2 - 2*w**2 + 0*w**2)*(3*w - w - w)*(3 + 11 + 1)*(-1 + 1 - 3*w). -90*w**5 Expand (21*t - 3*t - 52*t)*(-3 + 2 - 2)*(4 - 2 + 1). 306*t Expand (2*f**4 + 1 - 1)*(73 + 100 + 40). 426*f**4 Expand (0 + 0 + u**3 + (-u + 5*u - 5*u)*(-u**2 + u**2 - u**2))*(11 - 14 + 10)*(-7 + 3*u**2 + 7). 42*u**5 Expand (9 + 2*x - x + x)*(4 + 0 - 3)*(8082 - 36*x**4 - 8082). -72*x**5 - 324*x**4 Expand -204*y**4 + 665*y**4 - 310*y**4 + (-y**2 + 2*y**2 - 2*y**2)*(2*y**2 + 2*y**2 - 3*y**2) - 6*y**4 + y**4 + 3*y**4 + y**3 - y**3 - 2*y**4. 146*y**4 Expand (-2*v**5 + v**5 + 2*v**5)*(-1 + 5 - 1) + 6*v**5 - v**5 - 3*v**5 + (2*v**2 + 3*v - 3*v)*(2*v**3 + 4*v**3 - 4*v**3) - 23*v**5 - 6*v**5 + 0*v**5. -20*v**5 Expand -3*o + 2*o - o + (0 - 1 + 2)*(5 - 5 - 2*o) - 4 + 4 - 5*o + (16 + 10 - 17)*(2 + 7*o + o - 4*o). 27*o + 18 Expand (-2 + 2 + 5*x)*(-4 + x + 3*x - x + x - 1 + 1 - x + 4 - 4 + (0*x + x + x)*(0 + 4 - 2)). 35*x**2 - 20*x Expand 3 - 3 - z + (-5 + 5 + 4)*(-4 + 6 + 0)*(-1 - 4 + 4)*(-z - 5*z - z). 55*z Expand (4 - 3 + 0)*(-2*v**4 - v**4 - v**4) - 3*v**4 + 0*v**2 + 0*v**2 + (-1 + 2*v + 1)*(0*v**3 - v**3 + 2*v**3). -5*v**4 Expand (4*g + 5*g**2 + 0*g - 3*g**2)*(-7*g + 1 + 4*g - 3*g). -12*g**3 - 22*g**2 + 4*g Expand (g + 2 - 2)*(-g + 0*g + 0*g)*(0 + 0 - 2*g**3)*(-8 - 11 + 4). -30*g**5 Expand (-j - 7*j + 4*j)*(2*j**3 - j**3 - 3*j**3) - j + 2*j**4 + j - j**2 + 4*j - 6*j + 0*j + 2*j**4. 12*j**4 - j**2 - 2*j Expand (-34 - i + 2*i**3 - 11 + 19)*(2 - 2 - 9*i + (0*i + 3*i - 4*i)*(0 - 2 + 1)). -16*i**4 + 8*i**2 + 208*i Expand -3*z**2 + 3*z**2 + z**2 + (-1 + 15 + 3)*(-4*z**2 - 6*z + 6*z). -67*z**2 Expand (-191*f + 45 - 6 - 37)*(0 - f**2 + 0). 191*f**3 - 2*f**2 Expand (27 - 44*s + 31*s + 12*s)*(-4*s**3 + 3*s**3 + 0*s**3). s**4 - 27*s**3 Expand (-b + 5*b + 2*b)*(15 - 27 + 19) + 6 - 6 + 2*b + (3 - 2 - 2)*(0 - b + 0) - 4*b + 2*b + 3*b. 46*b Expand (a**2 - 4*a**2 + a**2)*(0*a**3 - a**3 + 0*a**3) + 0*a**5 - 3*a**5 + 2*a**5 + (-38*a**5 - 42*a**5 + 44*a**5)*(3 - 1 + 0) + 0*a**4 + 0*a**4 - 2*a**5. -73*a**5 Expand (-2*o**2 + 2*o**2 - 2*o**3)*(-6 - 1 + 4)*(-34 - 29 + 35 + (-1 - 1 + 0)*(-2 + 2 - 2) - 3 + 2 + 0). -150*o**3 Expand 6 - g - 6*g**4 - 11*g**4 + 16*g**4 + (0 - 2*g + 0)*(g**3 + 4*g**3 - 4*g**3). -3*g**4 - g + 6 Expand (-2*d**2 + 3 + 3*d - 11*d - 1)*(1 + 2 - 4)*(12 + 95*d - 12). 190*d**3 + 760*d**2 - 190*d Expand -4*j**5 - 4*j**5 + 11*j**5 + (2 - 2 + j**5 + (j + 1 - 1)*(2*j**4 - 2*j**4 - j**4) + 3*j**5 + j**5 - 6*j**5)*(-4 + 4 + 2). -j**5 Expand ((0 + 0 - 2*t)*(-1 - 1 + 0) - 3 + 3 - 2*t)*(4*t - 40 + 40) + (-2*t**2 + 0*t**2 + 4*t**2)*(-2 + 3 + 1). 12*t**2 Expand -16 - 8*s**2 + 5*s**2 - 1 + (-s + 5*s + 9*s)*(2*s - 2 + 2) - 5*s - s**2 + 5*s. 22*s**2 - 17 Expand (0*p**2 + p**2 - 3*p**2)*(p**3 + 3*p**3 - 5*p**3) + (-18*p**2 - p**2 + 68*p**2)*(p**3 - p**3 + 2*p**3). 100*p**5 Expand (2*q - 6*q + 2*q)*(-138*q + 59*q - 101*q)*(-1 - 5 + 4). -720*q**2 Expand -3*a**3 + 0*a**3 + 4*a**3 - a + a - 6*a**3 + (-6 + 9*a**2 + 6)*(4*a - 5*a + 3*a). 13*a**3 Expand (7 + 0 + 1)*(9 + 2*u - 9)*(-2*u + 3*u - 3*u). -32*u**2 Expand t + 1 - 1 + (2*t - t - 3*t)*(-11 + 8 - 3)*(0 + 0 + 6) + 5*t - 2*t + 0*t. 76*t Expand (2*l - 3*l - l)*(-9 + 3 - 1)*(3*l - l + 4*l). 84*l**2 Expand 2*j**2 + j**2 - 5*j**2 + 0 + 0 - 2*j**2 + (-1 + 1 + 2*j)*(-2*j - j + 4*j) + 0 - j**2 + 0 - 2*j + 100*j**2 + 6846 - 6846. 97*j**2 - 2*j Expand (-l**3 + 8*l**3 - 3*l**3)*(-13*l + 5*l - 6*l). -56*l**4 Expand ((5 - 1 - 3)*(2*m - m - 3*m) - 2*m - 1 + 1 - 7 + 7 + m)*(-3*m**3 - 5*m + 5*m)*(-2 + 4 + 3). 45*m**4 Expand (2*g - 2*g + 8*g)*(g**2 - 3*g**2 + 4*g**2) - 563*g + 563*g - 8*g**3. 8*g**3 Expand -7210*p + 327*p**4 + 7210*p + (-3 + 3 + 2*p)*(-2*p**3 + p**3 + 0*p**3). 325*p**4 Expand (296*w**3 - 149*w**3 - 155*w**3 + 7*w)*(3 - 2*w - 3). 16*w**4 - 14*w**2 Expand (2 - 4 + 5)*(v - 3*v + 0*v)*((-4*v - v + 3*v)*(3*v + 4*v - 5*v) + 21*v**2 - 220*v + 220*v + 3*v**2 - 5*v**2 - 11*v**2). -24*v**3 Expand (25*i**2 - 26*i**2 + 5 + 22)*(0*i**3 + 3*i**3 + 3*i**3). -6*i**5 + 162*i**3 Expand 3*y - 7 + 7 - 3*y + y + 3*y + (2 + 1 - 7)*(y - 2*y - 2*y). 16*y Expand (-5*d**3 - 21*d**3 - 33*d**3 - 22*d**3 - 104*d**3)*(-2*d**2 + 4 - 4). 370*d**5 Expand (0 + 1 + 0)*(3*v + 2*v - 3*v) + 3*v - v + 2203 - 2807. 4*v - 604 Expand (-2*q + q**2 + 2*q)*(2*q**3 - 3 + 3) + 15*q**4 + 19*q**5 - 15*q**4. 21*q**5 Expand (-5*g**3 + 3*g**3 + 3*g**3)*(102*g**2 - 76*g**2 + 100*g**2) - g**4 - 2*g**5 + g**4. 124*g**5 Expand 1 + w**4 - 1 + (-1 + 1 + 5)*(w**4 + w**4 + 0*w**4) - 292*w**3 + 292*w**3 + 38*w**4. 49*w**4 Expand (3 - 1 - 4)*(103*z**5 + 14455 - 14455 - 5*z**4 - 2*z). -206*z**5 + 10*z**4 + 4*z Expand (21*y + 63*y - 24*y)*(-3*y - 4*y + 4*y) + (0*y - 4*y + y)*((-y - 2*y + 5*y)*(6 + 0 - 4) + 4*y - y - 2*y). -195*y**2 Expand -54 + 13417*c**3 - 26827*c**3 + 13411*c**3 + 6*c**2 + (1 - c**2 - 1)*(-c - 3 + 3). 2*c**3 + 6*c**2 - 54 Expand -2*d**3 - 8*d + 2 - 2 + 2 + 0*d + d**3 + 0*d + (3*d**2 - 2*d**2 - 3*d**2)*(-d + 5*d + d) - 35*d - 7*d**3 + 35*d. -18*d**3 - 8*d + 2 Expand (5*w**3 - 3*w**3 + w**3)*(-28*w**2 + 26*w**2 + 24*w**2). 66*w**5 Expand -5*u**5 + 2*u**5 + 2*u**5 + (-2*u**3 + u**3 - 5*u**3)*(-u**2 + 8*u**2 - u**2) - 5*u**5 + 3*u**5 + 5*u**5. -34*u**5 Expand (-2 + 2 - a)*(10*a + 4*a + 2 + 0). -14*a**2 - 2*a Expand (-1 + 2 - 3)*(-2*n + 4*n - 4*n)*(27*n**4 - 179*n**4 + 467*n**4). 1260*n**5 Expand -a**4 + 3*a**5 + a**4 + 2*a + 15*a**4 + 3*a**5 - 15*a**4 - 4*a**5 - 19*a**3 + 19*a**3 + (-4*a**3 - 2*a**3 + 3*a**3)*(0*a**2 + 2*a**2 + 0*a**2). -4*a**5 + 2*a Expand 49259 - 49259 + 64*y**3 + (y**3 - 2*y + 2*y + (-2*y**2 + 0*y + 0*y)*(2*y + 2 - 2))*(3 - 1 + 2). 52*y**3 Expand 4*h**4 - 3*h**4 + h**4 + 3*h**4 + 1 - 1 + (-3*h**2 + 0*h**2 + 6*h**2)*(-92 + 92 - 17*h**2). -46*h**4 Expand q**3 + 0*q**3 - 3*q**3 + (-2 + 2*q**2 + 2)*(4*q - 3*q - 2*q) + (q**2 + 6*q**2 + 24*q**2)*(0*q - 2*q + q). -35*q**3 Expand (-3*n + 0*n + n)*(-5 + 5 + 2) + 106*n + 38*n + 492*n. 632*n Expand (3*t + 0 + 0)*(-325*t + 325*t - 12*t**3). -36*t**4 Expand (0 + 550*f - 42*f - 1 + 203*f)*(-3*f**2 + 3 - 3). -2133
{ "pile_set_name": "DM Mathematics" }
2*b - 2 = 2*k, 2*b + 5*k = -3*b + 25 for b. 3 Solve 0 = -5*b, 0 = 4*n - 13*b + 9*b - 4 for n. 1 Solve 10 = 9*c - 6*c + m, -c - 20 = 5*m for c. 5 Solve 3*n = -2*p + 23, 2*n + 4*p - 20 = 6 for n. 5 Solve 3*l - 2*m = -15, 2*l + 3*m - 6 = l for l. -3 Solve -d = -5*q + 14 + 11, -4*q - 9 = 5*d for q. 4 Solve -2 = g + 4*f + 19, 0 = g - 3*f - 14 for g. -1 Solve 4*p = 4*q - 20, -5*p - 2*q - 2 = -4*p for p. -4 Solve 2*x = 8, -2*o - x + 1 + 11 = 0 for o. 4 Solve 2*u + 4*c = -8, -5*u - 7*c = -3*c + 8 for u. 0 Solve -13*k = -8*k + 2*y + 16, 5*y = -3*k - 21 for k. -2 Solve -5*y - 8*k = -13*k - 30, -3*y - 3*k = 12 for y. 1 Solve 4*t + y + 37 = 0, 2*y + 26 = 7*t - 9*t for t. -8 Solve 67*i = 5*y + 62*i + 40, 2*i = -2*y - 12 for y. -7 Solve 3*p + 3 = m + 7, 3*m = 3*p for m. 2 Solve 4*j + 10 = 2*u, -5*j - 23 = 10*u - 9*u for u. -3 Solve -8 = -4*x + h + 4*h, -4*x = -2*h - 8 for x. 2 Solve 0 = 4*i, 1151*p = 1150*p - 2*i - 4 for p. -4 Solve -37*i = -4*g - 39*i - 12, -3*g + 5*i - 35 = 0 for g. -5 Solve 3*k + 7 = 4*u, 3*u + 5*k = -u - 33 for u. -2 Solve 5*f - w + 20 = 0, -8 = -3*f + 4*w - 3 for f. -5 Solve -18 = -4*t - 2*u, 3*u - 1 = 2*t + 2 for t. 3 Solve 9 = -9*v + 6*v + a, -3*v = -4*a - 9 for v. -5 Solve -3*l - 11 = -r, -36*r = 4*l - 40*r + 28 for l. -2 Solve 3*x + 2*u = 7*u + 12, -x + 3*u + 8 = 0 for x. -1 Solve -17 = -3*t - f, -t - 3*t = -f - 18 for t. 5 Solve -5*a - 3*i = 2, -a = 4*i - i - 2 for a. -1 Solve -47*h = -50*h + 4*n - 3, -5*n + 15 = 0 for h. 3 Solve 3*k = 5*y - 2, 5*k + 0*k - 5 = 0 for y. 1 Solve t + 3 + 2 = -x, 0 = 3*t + 9 for x. -2 Solve 0 = 5*p - 3*z + 28, -11*z + 12 = -2*p - 9*z for p. -5 Solve -m + 15 = m + y, -4*y = 4*m - 40 for m. 5 Solve -7*r + 2*b = -6*r + 15, 0 = 2*r + 2*b + 6 for r. -7 Solve 0 = -3*g + f + 2, 8*f = 12*f - 4 for g. 1 Solve 5*b - 4 = 2*b - 5*r, -4*b = -4*r - 16 for b. 3 Solve -1 = -4*z - 3*p, -4*z - 10*p + 12*p = -26 for z. 4 Solve -l - 1 = 0, 5 = -2*n + 5*l - 0 for n. -5 Solve 8*g - 2*p = 5*g - 7, 20 = 4*p for g. 1 Solve -2*y - 17*p + 16*p = -4, -12 = -2*y - 5*p for y. 1 Solve -4*h - 34 = -2, -5*b - 17 = 4*h for b. 3 Solve 5*a = 20, -5*a - 14 = -2*w - 8*a for w. 1 Solve -3 = -v - 2*o, -4*v + 3 = o - 9 for v. 3 Solve -5*h - 6*c + 2*c = 16, -20 = -4*h + 5*c for h. 0 Solve h = -h + p - 2, -5*p - 8 = -4*h for h. -3 Solve 490*t - 493*t = -d + 6, 2*d - 9 = 5*t for t. -3 Solve 5*r - 4*n + 0*n - 15 = 0, -5*r + 15 = 4*n for r. 3 Solve -x + 43 - 49 = -q, 5*q - 20 = 3*x for x. -5 Solve 2*j - 13 = s - 2, -s = -3*j + 16 for j. 5 Solve g + 25 = 5*x, -21 = -3*x + 5*g - 6 for x. 5 Solve 3*h = 2*v - 9, 0 = -9*v + 4*v - 5*h - 40 for v. -3 Solve 4*o - 12 = 0, 3*o - 17 = l - 2*o for l. -2 Solve 3*v - 15 = -4*r, 3*r + 303 = -5*v + 328 for r. 0 Solve 5*h = 5*g - 10, -325*h + 322*h = g + 14 for h. -4 Solve 0*q = -q + m - 2, 0 = -2*q + 5*m + 5 for q. -5 Solve -s + 3*b + 17 = 0, -5*s + 4*b = -86 + 45 for s. 5 Solve 4*l - 3*t - 4 = 0, 2*l = l - 5*t + 24 for l. 4 Solve 0 = 4*y + 8, -10*u + 2 = -8*u - 4*y for u. -3 Solve 21*o - 3*v + 16 = 22*o, 0 = -4*v + 16 for o. 4 Solve 55 = 2*l - 3*f + 64, -l + 4*f - 2 = 0 for l. -6 Solve -p + 2*w = -0*w - 1, -5*w + 5 = 0 for p. 3 Solve -18 = -i - 4*x, 2*i + 18*x - 14*x - 20 = 0 for i. 2 Solve -3*n = -4*f - 29, 18*f - 14*f + 32 = 4*n for f. -5 Solve -4*q + 0*t - 4*t = -28, -20 = -4*t for q. 2 Solve 5*m + 7*s = 3*s + 8, m - 4*s = 16 for m. 4 Solve 319*i - 318*i = 4*x + 7, -5*x - 3*i - 30 = 0 for x. -3 Solve -15*x + 4*i = -16*x + 21, i = -3*x + 19 for x. 5 Solve -73*c + 15 = -78*c - 4*r, 0 = 5*c - r - 10 for c. 1 Solve -6 = -2*d - p, -21 = -d - 24*p + 19*p for d. 1 Solve 5*x - 20 = 5*r, 0 = -5*x - 5*r - 5 + 15 for x. 3 Solve -h - 2 = 2*i, 9 + 1 = -3*i + 2*h for i. -2 Solve -5*x - 27 = -4*u - 26, 0 = -4*x + 12 for u. 4 Solve -3*t - 17 = -4*k, -10 = -15*k + 13*k for t. 1 Solve -y + 4*m - 4 = 0, 4*y + m - 2 = -1 for y. 0 Solve r + 6 = 1, -n - 3*r - 17 = 0 for n. -2 Solve 3*p - 3*o + 6 = 0, -18 = -3*p - 590*o + 587*o for p. 2 Solve 0 = 3*n - 2*o + 17, 0 = -2*n + 7*n + 2*o + 23 for n. -5 Solve v = 5*b - 0*v - 27, 2*b = -4*v + 2 for b. 5 Solve -3*x + 12 = -3*w, -x + 33 = 5*w + 35 for w. -1 Solve 3 = 4*j - 2*i + 3*i, 2*j = -2*i for j. 1 Solve 4*v + 21*m + 28 = 17*m, 3*v + 18 = -2*m for v. -4 Solve -g - 15 = -4*u, 3*g + 9 = -0*u + 3*u for g. 1 Solve -2*u - 42 = 5*u - 5*r, 3*r = -u - 6 for u. -6 Solve -3*y - 3*t + 3 = 15, 3*y - 4*t + 19 = 0 for y. -5 Solve -2 = 3*o - x, -7 - 6 = -3*o - 2*x for o. 1 Solve -9*a = -5*v - 2*a - 27, -5*v = 3*a + 17 for v. -4 Solve 2*o + 3*u = 10, 2*o + 2*u - 10 = u for o. 5 Solve 14 = -2*r + r + 5*k, -2*r + 2*k = -4 for r. 6 Solve -4*j - 18 = n, -4 - 22 = 4*j + 5*n for j. -4 Solve 5*h + 4*k + 18 - 2 = 0, -5*k - 20 = -5*h for h. 0 Solve 3*x + s = -17 + 24, 2*x - 4*s = 0 for x. 2 Solve 2*b - 3 = -i + 5, 3*b - i = 17 for b. 5 Solve -20 = -5*n + 3*v, 19*n - 14*n = 5*v + 20 for n. 4 Solve 3*o - 8*j = -13*j + 11, -2*j + 10 = 4*o for o. 2 Solve 2*u = -3*v - 20, -4*u + 5*v = -0*v - 4 for u. -4 Solve 92*g + 3*u + 3 = 91*g, 5*u + 15 = 0 for g. 6 Solve 13*a = -5*l + 12*a - 24, -5*l + 4*a - 29 = 0 for l. -5 Solve 13 = 3*b - h, 4*h = -2*b - 107 + 139 for b. 6 Solve -3*r - 2*t = -18, -r + 2*r + t = 7 for r. 4 Solve -5*n - 15 + 5 = 0, 4*n = 4*d - 20 for d. 3 Solve 196 = -4*o - m + 175, -4*m = -2*o + 12 for o. -4 Solve -2*v - 2*r - 18 = 3*v, 5*r - 5 = 0 for v. -4 Solve -3*i = 2*j + 3*j - 12, 0 = 4*i - 5*j - 16 for i. 4 Solve 4*x - 1337*d = -1341*d + 28, -3*x - 2*d = -18 for x. 4 Solve 4*m = -3*o + 22, 39*m - 43*m + 4 = 0 for o. 6 Solve -3*a + 23*p - 21*p + 23 = 0, 0 = p + 4 for a. 5 Solve -5*i - 5*g = -0*i, 0 = i + 5*g for i. 0 Solve 4 + 0 = a - 2*k, a - 5*k - 16 = 0 for a. -4 Solve 2*a + 6 = 0, 0*a + 3*a + 17 = 4*p for p. 2 Solve 0 = -h + w, -5*w + 4 = 2*h - 3 for h. 1 Solve -3*u + 16 = -4*p, -4*u - 5*p + 0 - 20 = 0 for u. 0 Solve 0*u + 3*u + 6 = -p, 4*p = 4*u - 8 for u. -1 Solve -2*f - 5*h + 4*h - 1 = 0, -5*h = -25 for f. -3 Solve -3*c - 2*c + 17 = -2*n, 4 = 5*n + 3*c for n. -1 Solve -5*h - 5 = -2*i, -5*h = -4*h - 2*i + 1 for h. -1 Solve 3*g + 14*c - 11*c + 12 = 0, g = 5*c - 28 for g. -8 Solve 3*l - 5*l = 3*z + 4, 2 = -3*z - 4*l for z. -2 Solve -4*k + 4*v + 27 = 51, 2*v = 6 for k. -3 Solve q - 2 = v, -7*q + 3*q = 3*v - 8 for q. 2 Solve 4*w + i - 12 = -0*w, -5*w + 16 = i for w. 4 Solve 5*f - 20 = -5*l, 0 = 2*l + 187*f - 189*f for l. 2 Solve -4*c + 2*q - 4 = 0, -5*c + q - 8 = -0*q for c. -2 Solve 0 = 2*h + k - 6, 5*k - 6 - 6 = -h for h. 2 Solve -111*d = -109*d - 5*s - 13, 3*s = 5*d - 4 for d. -1 Solve -20*i + 20 = -15*i - 4*c, -2*i - c = -8 for i. 4 Solve 4*y = 4*p + 24, -2*y - 2*p = -p + 3 for y. 1 Solve 5*u + 10 = 0, -5*z - 4*u - 18 = -0*u for z. -2 Solve -4*i + 3*m + 24 = 0, 0 = -8*i + 4*i - 2*m + 4 for i. 3 Solve -3*c + 2*o = 13, -2*c - 5*o - 9 = -13 for c. -3 Solve 4*g = 5*x + 8, 3*g = -x - 2*g + 10 for x. 0 Solve 2*t - 19 = 17*o - 12*o, 2*o + 3*t = 0 for o. -3 Solve 2*x - 48 = -2*j - 58, -j = 5 for x. 0 Solve -2 - 10 = -2*x + 4*y, 5*x - 5*y = 20 for x. 2 Solve 12 = 3*n, -25*o = -23*o - 4*n + 12 for o. 2 Solve -3*a + d = a - 6, -d = -2 for a. 2 Solve -3*k + 4*x - 9 = 0, 2*x + 0 = -k - 3 for k. -3 Solve 4*j - 5*w - 6 = 7*j, -j + 15 = -4*w for j. 3 Solve 0 = -3*k + 5*b, -k = k + 3*b for k. 0 Solve -4*m - 14 = n, 3*n - 5*m - 54 + 45 = 0 for n. -2 Solve 5*v - 106 = -4*x - 76, 0 = 3*v - 6 for x. 5 Solve 3*d - 6 = -4*t - t, 0 = t + 2*d + 3 for t. 3 Solve 0 = -2*d - 2*v + 10, 5*v - 6*v = 0 for d. 5 Solve -y + 2*c = 4 + 1, 3*c = 0 for y. -5 Solve 88*r + 5*q + 11 = 87*r, -14 = 2*r + 2*q for r. -6 Solve -2*q = -3*s - 12, q = -115*s + 113*s - 15 for q. -3 Solve -4*g + 35 = 5*i, i - 479*g + 12 = -476*g for i. 3 Solve 4*o + 4 = 0, -2*g + 5*o - 16 + 13 = 0 for g. -4 Solve -12 = -2*g + 4*c, -3*g + 2*c - 3 = -1 for g. -4 Solve 5*d - 4*m = 36, 32*m - 27*m = -4*d - 4 for d. 4 Solve -6*n - 21 = -n - p, -p = 4 for n. -5 Solve -3*n - 3 = -3*h - 5*n, -3*n = 0 for h. 1 Solve 2*j + 3*j - 25 = 2*o, -12 = 3*o + j for o. -5 Solve 4*k + l = 16, 87*k - 86*k = -5*l + 23 for k. 3 Solve 4*m - 19 = g, -4*m - 9*g = -14*g - 47 for m. 3 Solve 4*q - 3 = 2*l - 5, 5*l - 5 = 4*q for q. 0 Solve 6 = -3*r + 3*h, -5*h = 3*r + 5 + 25 for r. -5 Solve -4*f = 3*z + 5 + 9, 5*z = -2*f for z. 2 Solve 3*v = -j + 4, 0 = -4*j - 2*v + 4*v - 26 for j. -5 So
{ "pile_set_name": "DM Mathematics" }
/7 Calculate ((-36)/720)/((-9)/(101 + -11)). 1/2 Calculate ((-102)/(-30) - 3)*1215/(-54). -9 What is the value of (-2)/((-23)/(2185/(-38)))? -5 195/520 - (-122)/(-48) -13/6 What is the value of (1748/(-322))/((-4)/(-14))? -19 What is 6 + -1 + 0 - (12272/1360 - 4)? -2/85 What is -1 + 7 - 2534/543? 4/3 What is the value of (-9 - -1 - (5 + -9)) + 15? 11 What is the value of (-5270)/306 + -2 + 19? -2/9 What is 11 + (8 - 22) + -11? -14 Calculate (3/(-36))/((-3)/8) + (-160)/396. -2/11 What is (-1)/((-18)/(-81) + (-8)/((-360)/35))? -1 What is the value of ((-1615)/(-380))/(5/20)? 17 1/(-4)*2560/(-2232) + (-2)/9 2/31 Calculate 7590/(-26312) + (6/8 - 0). 6/13 Calculate -13 + (11 - 6) + 880/112. -1/7 Evaluate ((-12)/(-7)*1075/(-645))/(2/7). -10 Calculate 9/306 + 39933/(-1734). -23 Calculate 17 + (-41)/(-328)*-60. 19/2 Calculate -32 - (22 - 54) - ((-19)/13 - -1). 6/13 What is the value of -1 + 0 + -7 + 4180/(-220)? -27 What is (-960)/(-180) + -35 - 2/6? -30 Calculate (8/(-14))/((-73)/((-50078)/(-28))). 14 What is the value of 116/(-22) + 1 - (-51)/187? -4 What is the value of 8/(-40)*(-73 - -83)? -2 Calculate (2/(-78))/((-152)/2736). 6/13 What is (1067/(-121) - -9) + ((-840)/44)/(-5)? 4 What is 4/40*-5 - (7/(-2))/(-7)? -1 Calculate 79/395 + 14/30. 2/3 22/99*((-9)/(-27) + 14/(-15)) -2/15 Calculate 1 - (-46*(-5)/2)/85. -6/17 What is the value of 7*12*311/2177? 12 ((-2)/(-64))/((-305)/244) -1/40 29/(899/(-775)) - -15 -10 What is ((-3)/(-6) - ((-143)/(-22) + -5)) + 31? 30 Evaluate (-1178)/806*1/3 - 2/(-6). -2/13 What is (-2*(-12)/(-252))/((-4)/(-18))? -3/7 What is 3008/152 - (-64)/304? 20 What is 3/((-169)/26 - -4)? -6/5 What is the value of (43 + -13 - 32) + -16? -18 (-47)/(-13)*(-18 + 19) + -132 + 128 -5/13 (-30)/27 - (-8 - 665/(-63)) -11/3 What is the value of (14/(-14) + 0)/(-1 + (1 - 1))? 1 What is the value of (8/(-10) - (-198)/(-90))/((-9)/(-39))? -13 What is ((372/2387)/6)/((-12)/14)? -1/33 What is the value of (-15617)/2037 + 1/(-3)? -8 What is the value of (21546/(-154))/9 + 15? -6/11 ((-10)/(-4)*20/100)/(-1 + 0) -1/2 What is (32/112)/(0/(4 - -1) + -3)? -2/21 Calculate 17*60/408*(-4)/(-5). 2 Calculate (-16)/6 + 637/195. 3/5 (-800)/(-174) + 1610/(-345) -2/29 Calculate (1668/(-60) + 27)*(4 - -1). -4 What is 582/945 + (11 - (-729)/(-63))? 2/45 Evaluate (728/(-2002))/(5/385). -28 What is the value of 3/(-27) - 3/((-405)/30)? 1/9 Calculate (150/72)/(10/6). 5/4 What is ((-71)/639)/(1/15) + 28/(-21)? -3 What is (27 - 15)*(-323)/(-228)? 17 Calculate (-262)/60 + 39/78 - (-2)/(-15). -4 Calculate 13/(-1) + (-6 - (-8 + (-32)/8)). -7 What is the value of 470/(-95) - 30/570 - (-10 + -2)? 7 Calculate (-40)/(-1) - (-112 + 139). 13 Calculate (15/(-6))/((-11)/(-22)) - (-2191)/441. -2/63 (-100)/(-75)*18/(-8) -3 What is ((-30)/(-25))/((-18)/(-405)*9)? 3 Evaluate ((-1162)/498)/(7/2). -2/3 What is the value of (26 - -4)*(2/(-9))/((-104)/(-234))? -15 ((-504)/(-48) - (-5)/(-10)) + 6 16 What is 5/((-35)/(-49)) - 10? -3 (-21 - (-408)/17)*55/45 11/3 Evaluate -7*(84/(-70))/((-9)/15). -14 Evaluate 33/27 - 1 - ((-6832)/252 + 27). 1/3 ((-46)/4)/((-1066)/(-1148) - (-15)/(-35)) -23 What is 688/48 - (9/(-6) - (-5)/6)? 15 Calculate -1 + (8 - 0) - 8723/671. -6 Evaluate (4/(-14))/((-128)/(-896)). -2 Calculate (-1*2*14/(-4))/((-2)/(-2)). 7 Calculate 5/1 + -2 - (-658)/(-210). -2/15 (-26)/3*(-543)/362 13 What is (7 - 42/12)*((-123)/42 - -3)? 1/4 Calculate (-3)/(-5)*675/(-16524)*-17. 5/12 What is (240/(-45))/(-4) - 0? 4/3 Evaluate (-2)/(-4) + (-529)/(-46) + 1. 13 ((-35)/20)/(2639/(-232)) 2/13 (-2)/(-8)*(301 - 365)*(-1)/4 4 (-5)/(-4)*-2*(89 + 8227/(-95)) -6 What is the value of ((-1)/3)/((-9375)/(-585) + -16)? -13 Calculate 1/(1/5) + 994 + -1003. -4 Evaluate 2/27*(-2988)/(-3652). 2/33 ((-12)/(-760))/((-294)/490) -1/38 What is (9/15)/((-550)/2750)? -3 Calculate (-3339)/3710 + (-93)/(-270). -5/9 Calculate (236/318)/(-2) + 21/63. -2/53 (-48 + 5459/106)/((-133)/(-4)) 2/19 Evaluate (-22304)/738 + 38 + -8. -2/9 3 - (-1 - (-46)/(-483))*(-21)/9 4/9 Calculate (3/(-18))/(458/(-300) - 273/(-182)). 25/4 What is (-836)/(-328) + 25/(-10)? 2/41 (-6)/3*(-109)/436 1/2 ((-3)/2)/((38/24)/(178/1602)) -2/19 What is the value of 124/25 + (317 - 322)? -1/25 Evaluate (-538)/(-5111)*(2 - 10/4). -1/19 ((-57)/171)/(2*2/(-24)) 2 What is 344/1118 + (-70)/143? -2/11 Calculate 3 - (32 + -23 + 3). -9 What is the value of 1*(-137)/(-15) + (-8)/60? 9 Calculate (24/4 - -12)*(-1 - (-20)/16). 9/2 What is 18/21 + (-532)/49? -10 Evaluate (-510)/(-306)*1/(-2). -5/6 Evaluate 12 + -1 - (-4 + (-36)/6 + 14). 7 Evaluate 2/6*(-2700)/(-420). 15/7 Calculate (-69888)/6400 + (-2)/25. -11 Evaluate (552/(-39) - (-26)/169)/(-9). 14/9 ((-1)/(-4)*2)/((-17)/(-272)) 8 Evaluate (-50)/(-3)*((-45)/2)/15. -25 What is 0 + -2*(-3)/(-15) + 4278/(-3255)? -12/7 Calculate -3 - ((-255)/20 - -10). -1/4 Evaluate ((-261)/58*32/(-504))/((-4)/(-238)). 17 Evaluate 600/2240 - (2/(-7))/(-2). 1/8 What is (-5283)/(-587)*8/(-6)? -12 (552/40 + -14)*(-1)/7 1/35 Evaluate ((-10)/(-70) - 2754/119)/1. -23 What is the value of (-216)/(-135)*110/(-1012)? -4/23 7 + -31 + 1220/50 2/5 Evaluate (-2730)/(-195) - (-1 + 9) - 19. -13 (0 + (-8 - -6))/((-10)/(-95)) -19 What is the value of (4 + 385/(-105))*-1? -1/3 What is the value of 220/(-45) + 6 + 637/(-63)? -9 What is the value of (8/(-4))/(((-11)/132)/(5/(-15)))? -8 Evaluate (19 - 1470/60) + 5*1. -1/2 What is (0 + (-3)/(-2))*2 - (35 - 27)? -5 Evaluate (-230)/15 + 7 - (-16)/(-6). -11 Calculate (320 + -190)*(1 + (-27)/30). 13 9/(-2)*(-33 - -27 - -4) + -35 -26 What is (19 + -15)/(9 - (-790)/(-90))? 18 What is ((-5993)/1844)/((-2)/8)? 13 Calculate (-3)/(-12) - 12/(-240). 3/10 Calculate 33/594*264 - 20. -16/3 Evaluate (4/(-54))/((39/(-3))/(-13)). -2/27 Evaluate (-16)/2 + -1*(-200)/28. -6/7 Calculate (22 + (-9316)/425)/(1/1). 2/25 (1 - 17/11) + 79/154*42 21 ((2 + -6)/8)/((-8)/(-96)) -6 Calculate (7144/133)/2 + -26. 6/7 What is the value of (-5)/(-4) - 533/52? -9 What is the value of ((-7803)/4335)/(3/10)? -6 Evaluate ((-220)/33 - -8)/(6/3). 2/3 (-1505)/(-43) - (28 + -5) 12 (25/((-3150)/(-56)))/(2/9) 2 What is 3668/(-393) - 2/(-6)? -9 Evaluate 11/(121/264) - 15. 9 What is (20/16)/(35400/(-960))? -2/59 What is the value of (-3)/(-4)*(203/(-21) + 19)? 7 What is the value of (0 + -24)*(-365)/(-1095)? -8 What is 0 - 7 - 1159/(-171)? -2/9 (-44)/(-117) + 6*(-6)/234 2/9 What is the value of 5/(21 - -4)*(-25)/(-75)? 1/15 Calculate 2/4*903/387. 7/6 Evaluate ((-3318)/33)/14 - -7. -2/11 1*27 + (-376571)/14027 2/13 Evaluate 18/225 + (-98)/(-25). 4 264/(-440) + (-3)/45 -2/3 Evaluate 33 - -1 - (-615 + 646). 3 What is -14 - 0 - (2065 - 2106)? 27 (-2)/(-3)*45/(-5)*(-16)/12 8 What is ((-1)/(6/(-9)))/((-84)/112)? -2 -7 - (-1 + 16)*(-11 - 42/(-4)) 1/2 What is (-803)/(-572) + 30/(-24)? 2/13 What is (39/(-70))/1 + (-73)/(-146)? -2/35 What is the value of (4/162)/(23/(-7 - -76))? 2/27 What is the value of (-16)/(2/20*14) + 12? 4/7 What is 24/396*(-33)/(-22)? 1/11 What is the value of 30 + (-4640)/256 + -12? -1/8 Calculate (-1)/8*-4*-32. -16 (-54144)/(-5452) + (-4)/(-58) 10 Calculate -1*(-3)/(-48)*92/(-161). 1/28 What is ((-784)/70 - -10)*(-1)/6*-15? -3 -10 + (-184)/(-96) - (-3 - 5) -1/12 Evaluate (-454)/(-1135) - (376/240 - (-2)/(-3)). -1/2 What is ((-76)/((-532)/(-63)))/((-1)/(-3))? -27 What is the value of (6/(-21) + (-100)/(-105))/(168/(-6048))? -24 What is (10/88)/(20/96)? 6/11 Calculate 396/24 - (-38 + 56). -3/2 Evaluate (3/(-12) + -1)/(10/(-40)). 5 Evaluate (-74)/(-185)*1045/228. 11/6 (-10 - -7)/24 + (-4)/(128/20) -3/4 What is the value of ((-700)/125 + 4 + 2)*(-1)/2? -1/5 Calculate ((-240)/288)/((-15)/(-27)) - 27/(-14). 3/7 What is ((-153)/255)/(3/(-45))? 9 What is the value of ((-3)/30)/(6/(-30))? 1/2 (-880)/1386 + (-60)/(-315) -4/9 What is the value of 24/32*(-760)/30? -19 Calculate 13/(143/33)*2/6*-6. -6 What is the value of -5 - 1 - (25 - (-414)/(-23))? -13 Evaluate (-28)/(-15)*(450/105)/(-5). -8/5 What is (1173/690)/(13/130)? 17 (4 - 7) + -3 + (22 - (5 - 8)) 19 What is the value of 10/180*18*28? 28 Evaluate (1520/(-57))/(-16)*(-288)/(-40). 12 Evaluate -1 - (2 - 4) - 3/105*10. 5/7 3 + 25/(-7) - (1235/(-91) - 0) 13 (-963)/495 - (183/(-33) - -5) -7/5 What is the value of ((-1456)/(-42) + -35)*-33? 11 Calculate (51/36 - 1)/((-12)/((-288)/60)).
{ "pile_set_name": "DM Mathematics" }
third smallest value in 2/5, -1/4, 4? 4 Which is the fourth smallest value? (a) -10 (b) 2 (c) 2/9 (d) -2/23 (e) 4.4 b What is the fourth biggest value in -2.7, 1/6, -18, -0.1? -18 Which is the second biggest value? (a) 0.68 (b) 7/5 (c) 3/2 b Which is the biggest value? (a) -260 (b) -6/13 (c) 4 c What is the third smallest value in -7, 0.4, -0.2? 0.4 What is the smallest value in 1, -3, -0.19, -1? -3 Which is the third biggest value? (a) -0.4 (b) 0.1 (c) 4 (d) 0.0125 (e) 4/5 b Which is the second smallest value? (a) 38 (b) 0.5 (c) -1/6 b What is the third biggest value in -6/5, -3, 0.2, -16? -3 What is the smallest value in -1/3, 2/13, 15? -1/3 Which is the smallest value? (a) 3 (b) -2 (c) -2.74 c What is the second smallest value in -5.2, -0.5, -2, 3? -2 Which is the second biggest value? (a) 5 (b) 6 (c) -0.1396 (d) 2 a Which is the second smallest value? (a) 1/12 (b) -0.04 (c) -3 b What is the third biggest value in -1, -3/4, 2/23? -1 Which is the smallest value? (a) 0 (b) -0.3 (c) -15 c What is the third biggest value in -6/5, -2/5, 1? -6/5 What is the biggest value in 2, -0.5, -2/9, 3? 3 What is the second biggest value in 1, -0.35, 5/3, 2, -0.1? 5/3 Which is the smallest value? (a) -17 (b) -6 (c) 4 a Which is the second biggest value? (a) -2/5 (b) 1/31 (c) 0.4 (d) 0.84 c Which is the smallest value? (a) -2 (b) 2/9 (c) 0.07 (d) -0.07 a Which is the third smallest value? (a) -0.4 (b) 3 (c) 0.5 (d) -3/8 c Which is the third biggest value? (a) -3/7 (b) 15 (c) -0.17 (d) 3 c What is the fourth smallest value in -31, -0.4, 3/5, -0.3, -3? -0.3 What is the second smallest value in -0.5, -1/3, 5/9? -1/3 Which is the biggest value? (a) 146 (b) -1/6 (c) -17 a What is the biggest value in -3, -1, -4, 0.2, 0.3? 0.3 Which is the second biggest value? (a) -14.1 (b) -0.2 (c) -1/34 b What is the biggest value in -0.2, -53, -5? -0.2 Which is the biggest value? (a) -0.1 (b) 44 (c) -4 b Which is the smallest value? (a) 0.06 (b) 0.042 (c) -4 c What is the second biggest value in -53, -1/5, 2/7? -1/5 What is the second biggest value in 10, 3, 6, -1/2? 6 Which is the second smallest value? (a) 14 (b) -0.3 (c) -4 b Which is the fourth smallest value? (a) 2 (b) 0.36 (c) 0.7 (d) 5 (e) -1.7 a What is the smallest value in 0.1, -17, -3/8, -0.1? -17 Which is the second smallest value? (a) -0.001 (b) 0 (c) 4 b What is the fourth smallest value in 5/6, 7, 0.1, 7/5, -1? 7/5 What is the smallest value in -0.2, -26/3, -5? -26/3 What is the third biggest value in 3, 15, 3/2? 3/2 Which is the fifth biggest value? (a) -2/11 (b) 0.1 (c) -5 (d) -2/7 (e) 0.14 c Which is the second smallest value? (a) 0 (b) -1/369 (c) -2 (d) 2 b Which is the third biggest value? (a) 0.3 (b) -0.3 (c) -1 (d) 0.25 b What is the smallest value in 8/7, 0.4, -2/7? -2/7 Which is the third smallest value? (a) 3/7 (b) -0.14 (c) 6 (d) -1/6 a What is the biggest value in 30, -5, 0.3, 1.2? 30 What is the smallest value in -13, 0.057, 2/23, 0.4? -13 What is the third biggest value in -0.4, 2/5, -24, -8? -8 What is the smallest value in 1/26, 0.4, 0.1? 1/26 What is the fourth smallest value in -2/13, -0.09, 0.2, 5, 0.18? 0.2 What is the biggest value in -5, -3/65, -3/4? -3/65 What is the second smallest value in -3, -1/10, -0.002? -1/10 What is the third smallest value in 1/6, 0.4, 3, -12? 0.4 What is the third biggest value in 0.3, -1, 7, -0.5? -0.5 Which is the third biggest value? (a) 3 (b) 431 (c) 0.2 c What is the second biggest value in -0.8, -0.5, 5/3, 1? 1 Which is the third smallest value? (a) 5 (b) 0.1 (c) 1/8 (d) -3.2 (e) 2/15 c What is the smallest value in -1/5, -2/567, -1/13, -5? -5 Which is the second smallest value? (a) 2 (b) -5 (c) -7 (d) -2 b What is the third smallest value in 4, 5, 315/8, -1? 5 Which is the fourth biggest value? (a) 5 (b) -5 (c) 4056 (d) 3/8 b Which is the fourth smallest value? (a) 0.5 (b) -0.3 (c) 9 (d) -8 c What is the second biggest value in 5, 1/2, -17, -1/3, 0.4? 1/2 What is the biggest value in 56, -0.3, 21? 56 What is the smallest value in -16, -2, 0.6? -16 Which is the third smallest value? (a) 0 (b) -29 (c) 4 c Which is the second smallest value? (a) -2 (b) 0.1 (c) -0.1 (d) -8 a Which is the fifth biggest value? (a) 2/11 (b) 0 (c) -5/4 (d) 2 (e) 6 c Which is the biggest value? (a) -1/21 (b) 0.65 (c) -5 b Which is the second smallest value? (a) -0.4 (b) 5/7 (c) 1/4 c What is the biggest value in 1/8, -9018, 5? 5 What is the biggest value in 36, 2, 5/3, 5? 36 What is the fourth biggest value in 0.4, -0.2, 11, -4, 1/6? -0.2 Which is the third smallest value? (a) 5 (b) -36 (c) 0 a Which is the second smallest value? (a) -4/7 (b) 0.17 (c) 4 b What is the biggest value in 0.3, -3, -4, -2/9? 0.3 What is the second biggest value in -0.4, 3/2, -13/5? -0.4 What is the biggest value in 0, 1/4, 0.96, -2, 2/7? 0.96 Which is the third smallest value? (a) -5 (b) -8 (c) 14 (d) -1/10 d Which is the second smallest value? (a) 1/3 (b) -44/3 (c) 1 a What is the smallest value in -1, 0, -0.6, 0.4? -1 Which is the biggest value? (a) -0.3 (b) -0.053 (c) -2 b What is the second smallest value in -0.5, 0.07, 0.2, -1? -0.5 Which is the second smallest value? (a) 179 (b) 5 (c) 0.5 b What is the biggest value in -0.3, 21, 1? 21 What is the biggest value in -6717, -4, -5? -4 What is the second smallest value in -2/5, 6, 0.3? 0.3 Which is the fourth smallest value? (a) 0 (b) 0.0166 (c) -9 (d) 4/9 d What is the fourth smallest value in 2, -0.3, 1, -1/3? 2 What is the fifth smallest value in -17/19, -0.1, -2, 2, -1? 2 What is the biggest value in -3, 2, 4/7, -3/5? 2 What is the smallest value in -1.7, 3/2, -3, 2.7, 0? -3 Which is the biggest value? (a) -0.4 (b) -0.2 (c) -5 b What is the fourth biggest value in 1, 8, 4, 12/7? 1 What is the third biggest value in 4, 0.68, 4/5? 0.68 Which is the biggest value? (a) -38 (b) 2/9 (c) 4/3 c Which is the second smallest value? (a) -2/7 (b) -0.5 (c) 0.3 (d) -50.6 b What is the biggest value in -2/7, -0.2, 6, -0.5, -0.07? 6 What is the second smallest value in -1, 15, -6? -1 What is the second smallest value in 5/2, 8, 4, -0.4? 5/2 What is the second smallest value in 3, -268, 4? 3 What is the third biggest value in 4/97, -4.3, -0.5, 3/2? -0.5 What is the smallest value in -14/5, -3/5, -230? -230 What is the fourth smallest value in 2/7, 52, -2/9, 4/5? 52 What is the smallest value in -3/4, 1007/2, -1? -1 Which is the third biggest value? (a) 2 (b) -0.21 (c) 3 (d) 1/3 d What is the fourth smallest value in -1, -2/7, -0.54, -2/15? -2/15 Which is the second smallest value? (a) -1/8 (b) -11 (c) 0 (d) 137 a What is the second smallest value in -4, 3/17, -2, 0.5? -2 Which is the second smallest value? (a) -2/3 (b) -4 (c) 0.5 (d) -5 b What is the second smallest value in -3, -5, -0.9, -2? -3 What is the third smallest value in -16, -0.02, 2/11? 2/11 Which is the biggest value? (a) 13 (b) 3 (c) -1/2 (d) 2.74 a What is the third smallest value in -4, 9/4, -0.08? 9/4 What is the third biggest value in 0.1, 78, -2? -2 What is the fifth biggest value in 45, -4, 0.5, 3/7, -1/10? -4 What is the fourth smallest value in 3/4, 3, -3, 7, -1/10? 3 Which is the third smallest value? (a) 5 (b) -30 (c) 2 a What is the fifth biggest value in 0.5, -3, -8, 4/3, -4? -8 Which is the third smallest value? (a) 5 (b) -0.8 (c) -5 (d) -2/11 d Which is the third biggest value? (a) -5 (b) -1/6 (c) -13.9 (d) -9 d What is the third biggest value in -0.2, 6/7, 22? -0.2 What is the third biggest value in 0.5, 11, 51? 0.5 Which is the smallest value? (a) -0.2 (b) -45 (c) 2 (d) -3/4 b What is the fifth smallest value in -211, -0.2, -0.3, 5, 0.5? 5 Which is the third smallest value? (a) -2/7 (b) 1 (c) -1.8 b Which is the third biggest value? (a) 3 (b) 12/11 (c) -1/3 (d) -4 (e) -5 c Which is the biggest value? (a) -17/2 (b) 5 (c) -5 (d) 9 (e) 0 d Which is the third biggest value? (a) -1/8 (b) -0.5 (c) -2 c What is the smallest value in 1.3, 5, -0.5? -0.5 What is the second smallest value in -0.5, -1, 13, 11? -0.5 Which is the smallest value? (a) 0.004 (b) -0.4 (c) 18/5 b What is the
{ "pile_set_name": "DM Mathematics" }