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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(
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{
"pile_set_name": "DM Mathematics"
}
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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
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{
"pile_set_name": "DM Mathematics"
}
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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
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{
"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"
}
|
?
True
Is 67103 prime?
True
Is 424038379 composite?
False
Is 5410973 a composite number?
False
Is 40438643 a prime number?
False
Is 169758493 prime?
True
Is 104506081 composite?
False
Is 3929207 composite?
True
Is 30376037 a composite number?
False
Is 104969929 a composite number?
True
Is 636717 a composite number?
True
Is 106364183 prime?
False
Is 1179391 composite?
True
Is 3389569 prime?
False
Is 9443797 a composite number?
True
Is 9116137 a composite number?
True
Is 1401067 prime?
True
Is 95438827 a prime number?
False
Is 81863119 composite?
True
Is 60296267 a prime number?
False
Is 7662829 composite?
True
Is 18639809 a prime number?
False
Is 133099467 a composite number?
True
Is 147747167 prime?
False
Is 34505089 composite?
False
Is 15311539 prime?
True
Is 76073417 prime?
False
Is 1110295 prime?
False
Is 69378371 a composite number?
False
Is 8309227 prime?
True
Is 19900261 prime?
True
Is 7676269 composite?
False
Is 16381747 composite?
False
Is 689252423 prime?
True
Is 68257011 a composite number?
True
Is 150269 composite?
True
Is 29362141 prime?
True
Is 268415549 prime?
True
Is 135011 composite?
True
Is 87887707 prime?
True
Is 44672687 composite?
False
Is 23414407 a composite number?
False
Is 4320059 a composite number?
False
Is 656140487 a composite number?
False
Is 57941293 composite?
False
Is 1722419 composite?
False
Is 8954747 a composite number?
False
Is 4005073 a prime number?
False
Is 26998701 a composite number?
True
Is 507682699 a prime number?
True
Is 1349651 a composite number?
False
Is 2678111 a prime number?
True
Is 15062141 composite?
False
Is 9549251 prime?
False
Is 456638447 composite?
False
Is 291391627 a composite number?
False
Is 2066399 prime?
True
Is 2229809 prime?
True
Is 93278599 a composite number?
True
Is 41494013 a prime number?
False
Is 34873331 a prime number?
True
Is 142164527 a prime number?
True
Is 3688453 a composite number?
False
Is 94577891 a prime number?
False
Is 2516567 prime?
True
Is 1973269 a prime number?
False
Is 986969579 a composite number?
False
Is 31267231 a composite number?
False
Is 19032709 a composite number?
False
Is 9489373 a composite number?
True
Is 8910233 composite?
False
Is 4108873 a composite number?
False
Is 82537229 composite?
False
Is 173861629 a composite number?
False
Is 23084389 prime?
True
Is 938699 a composite number?
True
Is 288203347 composite?
True
Is 27897217 a composite number?
True
Is 38806763 composite?
False
Is 343481 composite?
False
Is 114682387 a composite number?
False
Is 33956339 composite?
False
Is 2034661 prime?
True
Is 8021797 a prime number?
False
Is 11225719 composite?
True
Is 73009877 prime?
True
Is 15201023 a prime number?
False
Is 927013 a composite number?
False
Is 6866023 a prime number?
False
Is 18305711 a prime number?
True
Is 81253651 a composite number?
True
Is 95651 prime?
True
Is 6014219 a composite number?
False
Is 3719533 a composite number?
True
Is 178713481 composite?
True
Is 2453863 composite?
True
Is 154781899 composite?
False
Is 18755839 a composite number?
False
Is 15156181 composite?
False
Is 2172223 a composite number?
True
Is 86813 a composite number?
False
Is 153013 a composite number?
True
Is 977353 composite?
True
Is 47210893 a composite number?
True
Is 112552807 a prime number?
True
Is 72453713 prime?
True
Is 41719 prime?
True
Is 159854333 prime?
False
Is 2952179 prime?
True
Is 20668331 a composite number?
False
Is 516042151 a composite number?
True
Is 33667863 composite?
True
Is 70927963 composite?
True
Is 1581907 a prime number?
False
Is 32921057 a prime number?
False
Is 18749459 composite?
False
Is 35169847 prime?
True
Is 4861327 prime?
False
Is 490697 prime?
True
Is 16561 prime?
True
Is 7387463 composite?
True
Is 13208917 prime?
True
Is 38040074 composite?
True
Is 2714702 prime?
False
Is 81918659 a prime number?
True
Is 56736541 prime?
False
Is 5310737 composite?
False
Is 224050447 a prime number?
True
Is 19144549 composite?
False
Is 38608769 prime?
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?
True
Is 6522787 a prime number?
True
Is 48160349 a prime number?
True
Is 14851561 composite?
False
Is 1292569 a composite number?
True
Is 2168287 prime?
False
Is 491353 prime?
True
Is 70709 a prime number?
True
Is 37982281 a composite number?
False
Is 8051713 prime?
True
Is 8509183 composite?
False
Is 34181579 composite?
False
Is 4270391 a prime number?
True
Is 10893409 a composite number?
False
Is 330992017 composite?
False
Is 115930579 a composite number?
False
Is 2485061 prime?
True
Is 3521359 prime?
False
Is 1557453 a composite number?
True
Is 2163181 composite?
False
Is 1152623 prime?
True
Is 122895579 composite?
True
Is 92734027 prime?
False
Is 4506373 composite?
False
Is 111366971 composite?
True
Is 81110651 composite?
True
Is 14990201 composite?
True
Is 10941241 a composite number?
False
Is 68801897 composite?
True
Is 5876011 a composite number?
False
Is 5367893 composite?
True
Is 12077953 a prime number?
False
Is 27688579 composite?
False
Is 60636731 a composite number?
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
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{
"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,
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{
"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"
}
|
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