mine 5*a(d) + 2*l(d).
d + 1
Let o(f) = -9*f**2 + 11*f + 6. Let p(j) = -4*j**2 + 5*j + 3. Let q(r) = -r**2 + 9*r + 58. Let g be q(13). What is g*o(b) - 13*p(b)?
-2*b**2 + b - 3
Suppose -5*l - 20 = 14*c - 19*c, 5*l + 14 = -c. Let a(b) = 8*b**2 + 7*b + 5. Let k(n) = -n**2 - n - 1. Calculate c*a(v) + 5*k(v).
3*v**2 + 2*v
Let m(y) be the second derivative of -7*y**3/6 + y**2/2 - 6*y + 4. Let n(v) = -20*v + 3. Calculate 17*m(c) - 6*n(c).
c - 1
Suppose 2*f - 5 = -r, 0 = -3*r + 2*r + 5*f - 2. Let g(k) = 7 - 11 + r. Let i(c) = -c + 6. Calculate 4*g(l) + i(l).
-l + 2
Let n(b) = -2*b**2 + 2*b - 1. Let p(i) = -6*i**2 + 6*i - 2. Suppose -15*k + a = -18*k + 6, 0 = k + a. Calculate k*p(q) - 8*n(q).
-2*q**2 + 2*q + 2
Let b(p) = -11*p + 9. Suppose g = 2*g - 7. Let l = g - 5. Let r be ((-24)/(-3) - 3) + l. Let h(v) = -6*v + 5. Calculate r*h(w) - 4*b(w).
2*w - 1
Let u(l) = 4*l**2 + l + 4. Let c(d) = d**3 - d**2 + d - 1. Determine 2*c(t) + u(t).
2*t**3 + 2*t**2 + 3*t + 2
Let s(v) = -v**2 - 3*v + 2. Let u = -30 - -27. Let r(g) = g. Let w(k) = -4*k - 25. Let z be w(-6). What is u*r(o) + z*s(o)?
o**2 - 2
Let k(f) = -3*f**2 - 2*f - 2. Let x(s) = -s**2 + s. Let w = -196 + 195. Give w*k(t) - 2*x(t).
5*t**2 + 2
Let i = -34 - -39. Let u(q) be the second derivative of 3*q**5/20 - q**4/2 - q**3 - q + 32. Let w(x) = 3*x**3 - 5*x**2 - 5*x. Determine i*u(z) - 6*w(z).
-3*z**3
Let h(p) = -9*p**3 - 6*p**2 - 8. Let t(i) = -i**2 + i - 1. What is h(r) - 6*t(r)?
-9*r**3 - 6*r - 2
Let g(l) = -6*l**2 - 17*l + 4. Let o(x) = -5*x**2 - 16*x + 3. Determine -4*g(j) + 5*o(j).
-j**2 - 12*j - 1
Let i(w) = -w. Let u(p) = -105*p. Give 6*i(n) - u(n).
99*n
Let d = -10 - -7. Let v(u) = 2*u + 2. Let h(z) be the second derivative of z**4/12 - z**3/2 - 3*z**2/2 - 4*z. Calculate d*v(i) - 2*h(i).
-2*i**2
Let x(s) = 3*s**3 - 5*s**2 - 5*s + 5. Let j(u) be the second derivative of -u**5/4 + 2*u**4/3 + 4*u**3/3 - 4*u**2 - 2*u - 37. Determine -5*j(a) - 8*x(a).
a**3
Let h(f) = -f**2 + 1. Let b(z) = z**2 - 3*z - 4. Let k(w) = w**2 + 6*w + 8. Let a(p) = -5*b(p) - 2*k(p). Give -a(x) + 5*h(x).
2*x**2 - 3*x + 1
Let j(x) = 1 + 0 + 0*x - x. Let g(a) = -15*a + 8. Let w(r) = -7*r + 4. Let y(p) = -4*g(p) + 9*w(p). Let c be (1/(-2))/((-2)/(-4)). Calculate c*y(d) + 2*j(d).
d - 2
Let b(q) = -3*q**3 + 5*q**2 - 5*q - 2. Let t(f) = -3*f - 2*f**3 - 1 - 14*f**2 + 9*f**2 + 8*f**2. Let l(x) = x - 12. Let j be l(9). Determine j*b(i) + 5*t(i).
-i**3 + 1
Let f(c) = 9 + 6 - 10 - 4. Let j(q) = q + 6. Determine 2*f(g) - j(g).
-g - 4
Let k be (8/(-10))/(2/(-15)). Let w be (4/k)/(2/51). Let b(y) = 3*y - 17. Let v(d) = -d**2 - 4*d + 26. Let z be v(-8). Let s(a) = a - 6. Give w*s(o) + z*b(o).
-o
Let b(a) = 3*a - 1. Let z(i) = -23*i - 127. What is 8*b(c) + z(c)?
c - 135
Let u(h) = 2*h**3 + 9*h**2. Let d be 2 + (-6)/(-4 - -1). Let v = -451 - -460. Let y(r) = -3 - r**3 - 4*r**2 + 3. Give d*u(t) + v*y(t).
-t**3
Let c(q) = 13*q + 10. Let m(z) = -35*z - 29. Determine 8*c(b) + 3*m(b).
-b - 7
Let w(q) = -4*q - 2. Let g(d) = 35*d + 21. Give g(a) + 6*w(a).
11*a + 9
Let h = -8 - -14. Let n(y) = y. Let m(v) = -9*v + 7*v - 11*v. Let o(g) = 2*m(g) + 22*n(g). Let z(x) = x. What is h*z(u) + o(u)?
2*u
Let o(j) = 2*j + 59. Let d(k) = 1. What is -4*d(r) + o(r)?
2*r + 55
Let w(i) = -5*i**3. Let n(m) = -4*m - 54. Let s be n(-14). Let z(v) = -11*v + v**s - 6*v - 4*v**3 + 17*v. Calculate 2*w(a) - 3*z(a).
2*a**3 - 3*a**2
Let o be (-1)/(6/24*2). Let n(k) = -k - 2. Let q(s) be the second derivative of -s**3/6 - 6*s. Determine o*q(r) + n(r).
r - 2
Let n(y) = 18 - 6*y - 7 - 8 - 5. Let o(c) = 17*c + 5. Give -8*n(b) - 3*o(b).
-3*b + 1
Let i(f) = -f**3 - 15*f**2 + 14*f - 35. Let l be i(-16). Let m(h) = -4*h - 3. Let o(u) = -20*u - 16. Calculate l*o(k) + 16*m(k).
-4*k
Let f(d) = 12*d - 33. Let g(b) = -6*b + 19. Determine -4*f(h) - 7*g(h).
-6*h - 1
Let n(z) = -23*z**2 - 8*z + 4. Let k(u) = -22*u**2 - 9*u + 5. What is -6*k(d) + 7*n(d)?
-29*d**2 - 2*d - 2
Let m(k) = 80*k**2 - 6*k - 8. Let s(y) = 481*y**2 - 34*y - 45. Calculate 34*m(q) - 6*s(q).
-166*q**2 - 2
Suppose 2*o + 2*x = -14, -20 = o - 2*x - 10. Let f(n) = -8*n**3 + 5*n - 5. Let j(m) = -4*m + 8 + 2*m**3 - 4*m + 10*m**3. Determine o*f(u) - 5*j(u).
4*u**3
Let n(k) = 1 - 2*k**2 - 21*k**3 + 8*k**3 + 8*k**3 + k**2 + 6*k**3. Let j(w) = -6*w**3 + 2*w**2 - 2. What is -5*j(p) - 10*n(p)?
20*p**3
Let z(c) = 2 + 9*c + 40*c - 51*c - 2*c**2. Let i(p) = -11 + p**2 + 2*p + 0*p**2 + 9. Calculate 3*i(d) + 2*z(d).
-d**2 + 2*d - 2
Let w(o) = -o + 3. Let p(a) = 3*a - 10. Let z = 1068 - 1066. Calculate z*p(y) + 7*w(y).
-y + 1
Let w(k) = -10*k - 1. Let m(z) = 9*z + 1. What is -4*m(i) - 3*w(i)?
-6*i - 1
Let s(a) = 9*a + 2. Let h(f) = 7*f - 9. Let y(n) = -29*n + 41. Let l(q) = -9*h(q) - 2*y(q). Determine 10*l(c) + 6*s(c).
4*c + 2
Let v be (2 - 0) + 2 + 0. Suppose -8 = 2*x - 2*n, 5*x + 8*n - 1 = 6*n. Let d(c) = -c**2 - c + 1. Let f(u) = -6*u**2 - 2*u + 5. Give v*d(g) + x*f(g).
2*g**2 - 2*g - 1
Let p(x) be the first derivative of x**2/2 + 4*x + 1. Let f(g) = -2*g + 0*g - 5 + 0*g + g. Suppose -2*l + 4 + 4 = 0. What is l*f(t) + 5*p(t)?
t
Let i(h) = 2*h**2 - 3*h. Suppose -4 = -y, -2*b + 0*b + 4*y - 12 = 0. Let l(c) = -17*c**2 + 15*c**b + 7*c - 4*c. Determine 5*i(t) + 6*l(t).
-2*t**2 + 3*t
Let p(d) = -2. Let b(f) = f - 5. Let l(c) = 3*b(c) - 8*p(c). Let a(i) = -4*i + 5. Let t(y) = -2*y + 2. Let r(v) = 3*a(v) - 7*t(v). Determine 3*l(u) - 5*r(u).
-u - 2
Let v(s) = 47*s - 3. Let c(h) = 46*h - 3. Calculate 5*c(g) - 4*v(g).
42*g - 3
Let y(o) = 11*o**2 + 7*o + 5. Let k = 15 - 18. Let d = k + 18. Suppose 0 = -h + d - 22. Let g(w) = -16*w**2 - 10*w - 7. Determine h*y(m) - 5*g(m).
3*m**2 + m
Suppose -44*c = -c + 215. Let z(i) = -7*i**2 - 7*i + 5. Let p(u) = -6*u**2 - 6*u + 4. Calculate c*p(j) + 4*z(j).
2*j**2 + 2*j
Let u(l) = -l**3 + l**2 - 2. Let x(d) = 162*d**3 - 16*d**2 + 32. What is 48*u(m) + 3*x(m)?
438*m**3
Let h(v) = 5*v**2 + 3. Let g(o) = 3*o**2 + 2. Suppose -6*k = 4*k - 80. What is k*g(t) - 5*h(t)?
-t**2 + 1
Let f(s) = -s - 2. Let g = 19 - 22. Let w = 4 - 0. Let b(r) be the third derivative of -r**4/24 - r**3/6 - 2*r**2 + r. What is g*f(o) + w*b(o)?
-o + 2
Let l(h) = -2331*h**3 + 111*h**2 + 111. Let b(v) = -106*v**3 + 5*v**2 + 5. Give -111*b(x) + 5*l(x).
111*x**3
Let t(q) = -7*q**2 - 5*q - 6. Suppose p + 14 = -3*k - 6, p + 2 = 0. Let x(o) = 7*o**2 + 4*o + 5. Give k*x(i) - 5*t(i).
-7*i**2 + i
Let k(x) = x - 20. Let q(z) = -2*z + 23. Determine -5*k(n) - 4*q(n).
3*n + 8
Let m(v) = 9*v**2 + 6*v + 8. Let a(n) = 10*n**2 + 7*n + 9. Calculate 5*a(i) - 6*m(i).
-4*i**2 - i - 3
Let m(j) = 7*j - 2. Let o(d) be the first derivative of 4*d**2 - 2*d + 54. What is -5*m(n) + 4*o(n)?
-3*n + 2
Let s(j) = 2*j**2 + 4*j + 4. Let z(f) = 2*f**2 + 5*f + 5. Let w = 11 - 16. Suppose -11 = -7*p + 31. Calculate p*s(d) + w*z(d).
2*d**2 - d - 1
Let m(o) = 3*o - 2. Let g(w) = 15*w - 11. Suppose -2*k - 57 = 3*k - i, -3*k + i = 35. Determine k*m(z) + 2*g(z).
-3*z
Let b(z) = 15*z + 3. Let c(o) = 15*o + 3. What is -5*b(h) + 6*c(h)?
15*h + 3
Let g(b) = -168*b**3 - 5*b**2 + 10*b + 5. Let k(c) = -168*c**3 - 6*c**2 + 12*c + 6. Determine -6*g(m) + 5*k(m).
168*m**3
Let t(l) = 3*l**2 + 12*l - 12. Let d(h) = 5*h**2 - 9. Let z be d(-3). Let x(f) = f - 1. Calculate z*x(v) - 3*t(v).
-9*v**2
Let u(d) = 151*d**2 + 8*d - 1. Let n(c) = 304*c**2 + 18*c - 2. Determine -4*n(b) + 9*u(b).
143*b**2 - 1
Suppose -9 = 3*r - 0*r. Let h(k) = -k + 7. Let f(n) = -26 + 1 + 8 + 12 + 13 - 2*n. Determine r*f(p) + 4*h(p).
2*p + 4
Let l(s) = s**2 - 49*s + 545. Let q be l(33). Let u(t) = -4*t - 1. Let o(p) = -6*p - 3. Let k(v) = v. Let f(z) = -6*k(z) + o(z). Give q*u(x) - 6*f(x).
4*x + 1
Let b(p) = -1. Let k(n) be the second derivative of -n**3/2 + 2*n**2 - 176*n. What is -4*b(r) - k(r)?
3*r
Let b(w) = 18*w**2 + 6*w - 7. Let n(f) = -17*f**2 - 7*f + 8. What is 5*b(i) + 4*n(i)?
22*i**2 + 2*i - 3
Let i(o) = 11*o + 6. Let b(d) = 18*d + 25. Let w(z) = -37*z - 53. Let c(u) = 13*b(u) + 6*w(u). Determine -4*c(f) + 5*i(f).
7*f + 2
Let l(w) = 6*w - 3. Suppose -61 = 4*x + 5*h, -7*h + 4*h - 60 = 5*x. Let o(b) = 13*b - 7. Give x*l(u) + 4*o(u).
-2*u - 1
Let w(h) = -27*h - 1. Let c(x) = 1. Calculate 2*c(g) + w(g).
-27*g + 1
Suppose 8*a - 11 + 3 = 0. Let r(j) = -6*j - 1. Let i(z) = -6*z - 6*z + 11*z. Give a*r(d) - 4*i(d).
-2*