- 27*x**2 + 7*x - 5. Let u(h) = h**3 + h - 1. What is -n(p) + 5*u(p)?
-2*p**3 + 27*p**2 - 2*p
Let m(t) = -t**3 - 2*t**2 + 2*t. Let p(y) = -7*y**3 - 136*y**2 + 12*y. What is 6*m(c) - p(c)?
c**3 + 124*c**2
Suppose 1216*h = 1212*h - 72. Let y(s) = 13*s**3 - 9*s**2 + 17*s - 9. Let o(j) = -3*j**3 + 2*j**2 - 4*j + 2. Calculate h*o(x) - 4*y(x).
2*x**3 + 4*x
Let b(p) = -p**2. Let m(j) = -7*j**3 + 7*j**2. Let n be (-696)/(-112) + 9/(-42). Give n*b(v) + m(v).
-7*v**3 + v**2
Let m(x) = -4*x**3 - 4*x**2 + 47*x. Let r(g) = -21*g**3 - 21*g**2 + 234*g. What is 11*m(j) - 2*r(j)?
-2*j**3 - 2*j**2 + 49*j
Let s(b) = b**2 + 8*b - 58. Let j be s(-12). Let a(u) = -9*u**3 + 5. Let g(v) = v**3 - 1. Determine j*g(n) - 2*a(n).
8*n**3
Let s(k) = 2*k**2 + 513*k - 2. Let d(u) = u**2 + 256*u - 1. What is 13*d(p) - 6*s(p)?
p**2 + 250*p - 1
Let h be -2 - (-20)/(-8)*-2. Let j(s) = -10*s + h + 10*s - s**2. Let i(o) = 4*o**2 - 4 - o**2 + 0 - 3. Give 2*i(v) + 5*j(v).
v**2 + 1
Let u(b) = -4*b**3 - b**2 + 6*b + 9. Let x(f) = 3*f**3 + f**2 - 5*f - 7. Determine -4*u(r) - 5*x(r).
r**3 - r**2 + r - 1
Let p = 9 + -7. Suppose p*h + 3 = 1. Let d(x) = -7*x + 5. Let z(g) be the third derivative of -g**4/24 + g**3/6 + 40*g**2 - 2*g. What is h*d(l) + 6*z(l)?
l + 1
Let g(j) = 113*j**3 + 10*j**2 + 5*j - 5. Let r(u) = 1638*u**3 + 144*u**2 + 72*u - 72. Give 72*g(m) - 5*r(m).
-54*m**3
Let x(v) = 185*v**2 + 3*v. Let l(h) = -556*h**2 - 8*h. Determine 4*l(j) + 11*x(j).
-189*j**2 + j
Let g(p) be the first derivative of p**3/3 - 532. Let m(n) = n**2. Give 6*g(o) - m(o).
5*o**2
Let m(c) = 19*c**2 + 7*c - 24. Let z(k) = -9*k**2 - 3*k + 13. Let f(r) = -4*m(r) - 7*z(r). Let q(j) = -12*j**2 - 6*j + 4. Calculate -5*f(v) + 6*q(v).
-7*v**2 - v - 1
Let f(z) = z + 171. Let x(q) = 3*q + 345. Calculate -9*f(g) + 4*x(g).
3*g - 159
Let n(j) = 99*j**2 + 4*j - 4. Let r(y) = -3*y**2 - y + 1. Calculate -3*n(b) - 12*r(b).
-261*b**2
Let w(x) = -x + 2. Let q(d) be the second derivative of -d**3/6 + 3*d**2/2 + 7*d. What is 3*q(f) - 4*w(f)?
f + 1
Let y(p) = 2*p - 11. Let f(u) = 3*u - 17. Let s(o) = -3*f(o) + 5*y(o). Let m(r) = r - 1. Determine -5*m(q) + s(q).
-4*q + 1
Let a(d) = -164*d - 3. Let b(m) = 1476*m + 28. What is -28*a(i) - 3*b(i)?
164*i
Let t(w) = w + 1. Suppose -6 = -3*h + 2*h. Suppose 0 = 4*o - 10 - h. Let n(q) = 0 + o - 2 + 2*q + 0*q. Give 2*n(l) - 6*t(l).
-2*l - 2
Let c(b) = -7*b. Let d = 68 - 57. Suppose 24 = -7*a + d*a. Let j be (2/3)/((-4)/(-30)). Let r(z) = 8*z. Calculate a*c(q) + j*r(q).
-2*q
Let o(f) be the second derivative of f**4/6 - 2*f**3/3 + 3*f**2/2 - 77*f. Let p(t) = -6*t**2 + 11*t - 9. What is 11*o(d) + 4*p(d)?
-2*d**2 - 3
Let z(y) = -15*y**2 + 6*y. Let t(i) = -3*i**2 + i. Suppose -1 = 5*o + 9, -3*o = 2*s + 6. Let p(u) = 3*u + 2. Let f be p(s). Calculate f*z(d) - 11*t(d).
3*d**2 + d
Let z(k) = -55*k**3 + 65*k. Suppose -18*n = -25*n - 42. Let t(w) = -5*w**3 + 6*w. Determine n*z(g) + 65*t(g).
5*g**3
Let i(q) = 4*q**2 - 6*q + 4. Let a(d) = 10*d**2 - 7*d + 11. Let f(k) = -k**2 - 1. Let s(h) = a(h) + 6*f(h). Calculate -5*i(u) + 4*s(u).
-4*u**2 + 2*u
Let q(t) = 1. Let r(o) = -o**2 + 4*o + 31. Let c(y) = 4*q(y) - r(y). Let n(z) be the first derivative of c(z). Let i(v) = 2*v - 3. Give 5*i(g) - 4*n(g).
2*g + 1
Let o(t) = 2*t + 14. Let a(h) = -1. Let n(p) = -4 + 12 - 7. Let v(m) = 3*a(m) + 2*n(m). Give o(u) + 12*v(u).
2*u + 2
Suppose -4*a - 3*c + 17 = 0, -c + 1 = -4*a + 6. Let i(r) = 6*r**3 + 3*r - 3. Let f(k) = 7*k**3 + 2*k - 2. Determine a*i(b) - 3*f(b).
-9*b**3
Let c = 81 - 78. Let f(p) = -2*p**2 + 6*p + 6. Let u(y) = -2*y**2 + 5*y + 5. Give c*f(x) - 4*u(x).
2*x**2 - 2*x - 2
Let w(b) = -3*b - 1. Let c(t) = -4*t - 10. What is c(r) - 3*w(r)?
5*r - 7
Let w(g) = -4*g**2 - 4*g**2 - 6 - 4*g + g**2. Let r(z) = -4*z**2 - 2*z - 3. Suppose 38*f + 22*f + 180 = 0. Give f*w(p) + 5*r(p).
p**2 + 2*p + 3
Let r(k) = -2*k**2 + 4*k. Let n(q) be the third derivative of -q**5/60 + q**4/6 + 2*q**2 + 26*q. Give 3*n(w) - 2*r(w).
w**2 + 4*w
Let z(h) = -h + 1. Let g(l) = -7*l + 13*l - 3769 + 3755 + 22*l. Give g(o) + 14*z(o).
14*o
Let u(l) = -7*l**2 - 3*l - 2. Let b(p) = 8*p**2 + 2*p + 1. Let t(n) = 3*b(n) + 4*u(n). Let r(h) = 3*h**2 + 6*h + 4. Determine 3*r(d) + 2*t(d).
d**2 + 6*d + 2
Let z(s) = -109 + 216 - 106. Let w(b) = 3*b**3 + 5*b**2 - 3. Calculate w(v) + 3*z(v).
3*v**3 + 5*v**2
Let v(j) = j**3 + j**2 - 2*j + 2. Let s(r) = -399*r**3 + 4*r**2 - 8*r + 8. Calculate s(g) - 4*v(g).
-403*g**3
Let o(j) = j - 1. Let f(y) = -40*y**2 + 113*y**2 - 41*y**2 + 10*y - 40*y**2 - 10. What is f(a) - 10*o(a)?
-8*a**2
Let w(t) = 6*t**2 + 5*t + 9. Let k(n) = -3*n**2 - 3*n - 4. Calculate -5*k(f) - 3*w(f).
-3*f**2 - 7
Let x(w) = -2*w**2. Suppose 3234 = -5*q - 2*q. Let j = q + 71. Let k be j/119 - (-2)/7. Let m(h) = -2*h**2. Give k*m(i) + 4*x(i).
-2*i**2
Let x = 706 + -705. Let z(h) = 1. Let l(i) = 4*i**3 + i**2 + 2*i - 1. Determine x*z(b) + l(b).
4*b**3 + b**2 + 2*b
Let d = 119/678 - 1/113. Let o(b) be the third derivative of 0*b - 3*b**2 + d*b**4 + 0 + 5/6*b**3. Let q(c) = -5*c - 6. What is 6*o(f) + 5*q(f)?
-f
Let b(f) = 7*f**3 - 214*f**2 + 7*f - 3. Let o(n) = -19*n**3 + 642*n**2 - 19*n + 8. What is 8*b(x) + 3*o(x)?
-x**3 + 214*x**2 - x
Let t(b) be the second derivative of 5*b**4/12 - b**3/3 + b. Let y = -16 - -18. Let x(w) = -2*w**2 + 4*w**2 - w**2 - w. What is y*x(h) - t(h)?
-3*h**2
Let h be -20*(-6)/4*4. Let i(v) = -h*v + 238*v - 113*v + 7*v**3 + 6. Let s(a) = 4*a**3 + 3*a + 3. Give 3*i(p) - 5*s(p).
p**3 + 3
Let z(d) = 3*d - 58. Let p be z(20). Suppose -2 = p*v - 4. Let k(b) = -b**3 + b**2 - b. Let g(t) = 3*t**3 - t**2 + t + 2. Determine v*g(a) + k(a).
2*a**3 + 2
Let l(f) = 2*f. Let v(c) = 29*c**2 + 7*c + 1. Determine -5*l(a) + v(a).
29*a**2 - 3*a + 1
Let p(n) = -4*n**3 + 4*n**2 - 2*n - 2. Let j = 209 + -207. Let v(c) = -13*c**3 + 13*c**2 - 7*c - 7. Calculate j*v(h) - 7*p(h).
2*h**3 - 2*h**2
Suppose 3*a - 16 = -1. Let u(i) = -i**3 + 4*i**2 + 3*i + 11. Let m be u(a). Let p(j) = j - 3. Let h(o) = o. Determine m*h(r) + p(r).
2*r - 3
Let r(y) = -y**2 - 1. Let m be 74 - (7 - (3 + 0)). Let p be (-18)/(-99) + m/(-22). Let q be p + 1 + -2 + -2. Let h(f) = 2*f**2 + 1. Give q*r(k) - 4*h(k).
-2*k**2 + 2
Let q(k) = -k**2 - k - 1. Let z(n) = 35*n**2 - 8 - 10*n**2 - 12*n**2 - 4*n - 15*n**2. Calculate -6*q(w) + z(w).
4*w**2 + 2*w - 2
Let q(v) = -5*v - 1 + 8*v - 4*v. Let n(c) be the third derivative of -c**4/4 - 2*c**3/3 - c**2. Determine n(z) - 5*q(z).
-z + 1
Let m(k) = -11*k - 2. Let w = -2064 - -2047. Let i(s) = -33*s - 6. Give w*m(u) + 6*i(u).
-11*u - 2
Let m(x) = 2*x**2 - 5*x + 3. Let q(g) be the first derivative of -1/2*g**2 + 2 + g. What is m(l) - 3*q(l)?
2*l**2 - 2*l
Let n(p) = -99*p - 1. Let q(j) = -j. Determine n(v) + 5*q(v).
-104*v - 1
Let n(t) = 301*t**2 + 9*t - 6. Let c(d) = -3*d + 2. Calculate -6*c(q) - 2*n(q).
-602*q**2
Let z be 7*(792/21)/4. Let m = z + -39. Let q(s) = 6*s - 27. Suppose 1580*b - 1571*b - 36 = 0. Let w(v) = -v + 4. What is b*q(g) + m*w(g)?
-3*g
Let f(p) = 0 - 8*p + 1 + 3*p. Let n = 3827 + -3828. Let k(h) = h. Determine n*k(t) - f(t).
4*t - 1
Let h(j) = -168*j**3. Let k(a) = -84*a**3. Give -5*h(i) + 9*k(i).
84*i**3
Let d(p) = p + 3. Let h(u) = 9*u + 24. Determine -33*d(z) + 4*h(z).
3*z - 3
Let x(m) = -505*m**2 + 4. Let f(b) = -127764*b**2 + 1014. Give -2*f(c) + 507*x(c).
-507*c**2
Let b(d) = -5*d - 2. Let c = 17 - 18. Let v(k) = 11*k - 4. Let o(m) = 9*m - 3. Let s(l) = -5*o(l) + 4*v(l). Determine c*b(i) + 2*s(i).
3*i
Let z(r) = -114*r**2 + 22*r + 11. Let l(p) = -23*p**2 + 4*p + 2. What is 11*l(d) - 2*z(d)?
-25*d**2
Let g(s) = 9*s - 17. Let l(v) = 2*v - 37. Let f be l(16). Let r(p) = -14*p + 26. Determine f*r(o) - 8*g(o).
-2*o + 6
Suppose -32*m + 4 = -28*m. Let p(o) = 6*o**2 - 18*o - 1. Let g(y) = 2*y**2 - 6*y. Let a(s) = 8*g(s) - 3*p(s). Let n(u) = -u**2 + u + 1. Give m*a(q) - 4*n(q).
2*q**2 + 2*q - 1
Let y(c) = -10*c - 7. Let p(l) = 3*l + 3. Determine 7*p(r) + 2*y(r).
r + 7
Let b(d) = d**3 + d. Let f(i) = -9*i**3 + 20*i. Determine -2*b(h) - f(h).
7*h**3 - 22*h
Suppose 27*u + 24 = 29*u. Let i(n) = -n**2 + 1. Let x(s) = 6*s**2 - 3. Give u*i(g) + 4*x(g).
12*g**2
Suppose -5*y - 3*d = -350, y + 4*d + 140 = 3*y. Let x = y + -77. Let o(a) = -2*a**3 + a - 1. Let u(c) = 2*c**3 - c + 1. What is x*u(l) - 6*o(l)?
-2*l**3 + l - 1
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