 39. Calculate 4*w(r) + 7*y(r).
-r + 23
Let v(w) = 252*w - 2. Let t(i) = -510*i + 3. What is -3*t(q) - 5*v(q)?
270*q + 1
Let z(m) = 4*m**2 - m - 7. Let a(j) = -2*j**2 + 3. Suppose 3*v = 5 - 26. Let g = -2 - v. Give g*a(t) + 2*z(t).
-2*t**2 - 2*t + 1
Let j(b) = 10*b - 3. Let s(h) = 9*h - 2. Suppose 4 = 4*d - 2*m, 5*d - d - 3*m = 0. Calculate d*s(o) - 2*j(o).
7*o
Let u(m) = -381*m - 19. Let x(o) = -382*o - 15. What is 4*u(q) - 5*x(q)?
386*q - 1
Let i(s) = 6*s**3 + 7*s**2 + 4*s + 1. Let q = -787 + 785. Let d(k) = -2*k**3 - 2*k**2 - k. What is q*i(c) - 7*d(c)?
2*c**3 - c - 2
Let m = -754 + 755. Let j(w) = w**3 + w**2 - w - 1. Let u(b) = -2*b**3 - 4*b**2 + 3*b + 3. Determine m*u(n) + 3*j(n).
n**3 - n**2
Let r = -54/11 + 141/22. Let p(s) be the second derivative of 0 - 9/2*s**2 + 7/12*s**4 - r*s**3 - 4*s. Let h(f) = 3*f**2 - 4*f - 4. Calculate -5*h(w) + 2*p(w).
-w**2 + 2*w + 2
Let z(p) = -6*p**2 - 29*p - 21. Let c(j) = 2*j**2 + 10*j + 7. Give -11*c(x) - 4*z(x).
2*x**2 + 6*x + 7
Let u(b) be the third derivative of 2*b**5/15 - 5*b**4/24 + 4*b**3/3 + 38*b**2. Let i(a) = 23*a**2 - 14*a + 23. Let c = 22 + -39. Determine c*u(w) + 6*i(w).
2*w**2 + w + 2
Let w(h) = -h + 5. Let a(c) be the first derivative of -c**4/24 + 3*c**3/2 - 3*c**2 + 2. Let j(t) be the second derivative of a(t). Determine -3*j(v) + 5*w(v).
-2*v - 2
Let x(w) = w**2 + 2*w - 2. Suppose 3*v + 39 = 3*y - y, 0 = -5*v + 25. Let m(z) = -y + 10 + 13 - 3*z**2 + 13 - 9*z. Calculate 2*m(c) + 9*x(c).
3*c**2
Let y(m) = 2*m - 55. Let i(w) = -w + 30. Calculate -5*i(u) - 3*y(u).
-u + 15
Suppose 4 = -4*b - 4. Let t(f) = -124*f - 122*f - 124*f + 365*f. Let a(l) = 6*l - 1. Determine b*a(q) - 3*t(q).
3*q + 2
Let t(p) = -7*p**2 - 5*p. Let d(l) = -l**2 - 17*l - 55. Let m be d(-12). Let v(i) = 20*i**2 + 14*i. Determine m*v(j) + 14*t(j).
2*j**2
Let m(s) = 2*s**2 + 4*s + 6. Let j(u) = -3*u**2 - 9*u - 13. Give -2*j(i) - 5*m(i).
-4*i**2 - 2*i - 4
Let k(u) be the first derivative of -5*u + 5/3*u**3 + 11 + 2*u**2. Let g(m) = 4*m**2 + 3*m - 4. Calculate -4*g(b) + 3*k(b).
-b**2 + 1
Let z(p) = -p - 1. Let o(k) = 3*k**3 - 2*k**2 - 2*k - 4. Suppose -5 = 3*s - 2. Calculate s*o(c) + 4*z(c).
-3*c**3 + 2*c**2 - 2*c
Let z(o) = -55*o - 22. Let h(v) = -8*v - 3. Let k = 582 + -585. What is k*z(u) + 22*h(u)?
-11*u
Let h(g) = 5*g**3 + g**2 - g + 1. Let f(p) = 3*p**3 + 140*p**2 - p + 1. Give f(j) - h(j).
-2*j**3 + 139*j**2
Let z(g) = g**2 - g + 1. Let x(v) = 3*v**2 - 6*v + 6. Suppose -20*q = -5*q - 15. What is q*x(l) - 5*z(l)?
-2*l**2 - l + 1
Let g(i) = i**3 - 2*i**2 + 11*i + 7. Let p(y) = -y**2 + 6*y + 3. Give -2*g(f) + 5*p(f).
-2*f**3 - f**2 + 8*f + 1
Let c(u) = -u**3 - u. Let o(i) = 4*i**3 - 4*i**2 - 4*i + 6. Let n(x) = -4*c(x) + o(x). Let v(r) = 9*r**3 - 5*r**2 + 7. What is -7*n(s) + 6*v(s)?
-2*s**3 - 2*s**2
Let w(k) = -k + 2. Suppose 10*u - 3*o + 15 = 6*u, -10 = 5*u - 2*o. Suppose u = -4*s - s - 10. Let a(b) = b**3 - b**2 + 5*b - 11. Determine s*a(q) - 11*w(q).
-2*q**3 + 2*q**2 + q
Let l(x) be the first derivative of -2*x - 31 + 5/2*x**2. Let s(i) = 6*i - 3. Calculate 5*l(r) - 4*s(r).
r + 2
Let d(o) = -11*o**3 - 8*o - 37. Let r(c) = 4*c**3 + 3*c + 12. Calculate 3*d(b) + 8*r(b).
-b**3 - 15
Let g(n) = -2*n**2 - 3*n - 14. Let x(q) = -q - 1. What is g(f) - 5*x(f)?
-2*f**2 + 2*f - 9
Let r(h) = 14*h + 4. Let k(s) = 42*s + 11. Let j = 385 + -389. Give j*k(i) + 11*r(i).
-14*i
Let s(p) = -p. Suppose 61 - 70 = 9*b. Let k(o) = -2*o + 1. Determine b*k(z) - 6*s(z).
8*z - 1
Let w(p) be the second derivative of -p**3/6 + p**2 + p. Suppose 5*g + 1 = -2*d, 2*d + 6*g - 7 = 9*g. Let t(x) = -2*x + 4. Calculate d*t(q) - 5*w(q).
q - 2
Suppose 5*c + 4*r = 18, -9 - 18 = -7*c - 5*r. Let l(p) = 9*p - 9. Let x(y) = 5*y - 5. Give c*l(i) - 11*x(i).
-i + 1
Let i(v) = -2*v**2 + 2*v. Let r = -48 + 50. Suppose -j = -14*j + 65. Let x(h) = 4*h**2 - 5*h. Give j*i(k) + r*x(k).
-2*k**2
Let g(a) = -4*a**2 + 9*a + 85. Let d(p) = -2*p**2 + 4*p + 42. What is 13*d(z) - 6*g(z)?
-2*z**2 - 2*z + 36
Let q = -1500 - -1495. Let v(r) = 6*r**3 + 4. Let l(t) = -7*t**3 - 4. Calculate q*v(i) - 4*l(i).
-2*i**3 - 4
Let l(t) = 2*t**3 - t**2 - 5*t + 3. Let m(g) = -2*g**3 + g**2 + 5*g - 3. Give 2*l(x) + 3*m(x).
-2*x**3 + x**2 + 5*x - 3
Let a(j) = -6*j + 3. Let t(m) = 3*m**3 + 9*m**2 + 11. Let h be t(-3). Let p(o) = -12*o + 6. Calculate h*a(w) - 6*p(w).
6*w - 3
Let s(i) be the third derivative of 1/24*i**6 + 0*i**3 - 11/24*i**4 + 7/60*i**5 + 0 + 0*i + 9*i**2. Let k(x) = -2*x**3 - 3*x**2 + 5*x. Give 14*k(c) + 6*s(c).
2*c**3 + 4*c
Let g(h) = -2*h**3 + 395*h - 4. Let m(k) = 5*k**3 - 791*k + 9. Determine -9*g(r) - 4*m(r).
-2*r**3 - 391*r
Let v(i) = -11*i**2. Let j(w) = -42*w**2 + 14*w**2 + 10*w**2 + 15*w**2 + 8*w**2. What is 5*j(z) + 2*v(z)?
3*z**2
Let m(p) = -3*p - 146 + 49 + 51 + 42. Let o(s) = s + 1. Calculate 2*m(l) + 10*o(l).
4*l + 2
Let b(p) = 3*p - 1. Let a(k) = -922*k**2 - 12*k + 4. Determine a(d) + 4*b(d).
-922*d**2
Let u(x) = -55*x - 7. Let l(m) = -56*m - 5. What is 6*l(k) - 4*u(k)?
-116*k - 2
Suppose p - 5*p = -8. Let s(r) = 0*r**2 - r + 11*r**3 - 12*r**3 - r**2 + p*r. Let m(z) = 4*z**3 + 4*z**2 - 5*z. Give m(h) + 5*s(h).
-h**3 - h**2
Let f(l) = -3*l + 2. Let t be f(2). Let x(k) = -6*k. Let m(r) = 5*r. Let z = 3223 + -3226. Calculate t*m(p) + z*x(p).
-2*p
Let k(p) = -p**3 - p - 1. Let i(f) = -612*f**3 - 765*f - 765. What is -3*i(z) + 2295*k(z)?
-459*z**3
Let o(k) = -15*k. Let f(q) = -8*q - 29. Let m be f(-3). Let s(b) = -7*b. Determine m*s(i) + 2*o(i).
5*i
Let l(r) = 77*r**2 + 7*r - 7. Let i(g) = 39*g**2 + 3*g - 3. Determine 9*i(b) - 4*l(b).
43*b**2 - b + 1
Let y(f) = f**3 - 2*f**2. Let d(q) = -q**2 - 2*q + 8. Let c be d(-4). Suppose -5*g + 2*j = -1 - 4, c = g - j + 2. Let a(r) = -r**2. What is g*y(k) - 6*a(k)?
3*k**3
Let r(g) = 42*g. Let u(b) be the third derivative of -b**4/24 + 40*b**2 + 1. Give -r(m) - 35*u(m).
-7*m
Let s(m) = -1281*m**3 + 305*m**2 - 305*m + 305. Let i(r) = -4*r**3 + r**2 - r + 1. Determine 915*i(d) - 3*s(d).
183*d**3
Let g(q) = -303*q**2. Let b(u) = -69689*u**2. What is -4*b(i) + 921*g(i)?
-307*i**2
Let h(n) = -2*n**2 + 1. Let r(k) be the first derivative of k**4/4 - 5*k**3/3 + 2*k - 158. Determine 5*h(u) - 2*r(u).
-2*u**3 + 1
Let x(a) = a + 1. Let c(u) = -8*u - 11. Calculate -c(k) - 6*x(k).
2*k + 5
Let h(f) = -26*f + 7. Let w(y) = y + 1. Give -h(g) + 5*w(g).
31*g - 2
Let x(h) = -16*h**2 + 14*h + 38. Let i(y) = y**2 - y - 2. Give -28*i(k) - 2*x(k).
4*k**2 - 20
Let v(a) = -362*a + 3. Let z(l) = 3986*l - 34. Give 68*v(x) + 6*z(x).
-700*x
Let d(m) = -53*m + 5. Let g(n) = -109*n + 11. Calculate 5*d(l) - 2*g(l).
-47*l + 3
Let n(l) = -9*l**3 - 4*l**2 + 3*l - 2. Let z(r) = -19*r**3 - 8*r**2 + 6*r - 4. Give 13*n(k) - 6*z(k).
-3*k**3 - 4*k**2 + 3*k - 2
Let d = -805 + 803. Let o(g) = -5*g**3 + 2. Let y(l) = -4*l**3 + 2. Give d*o(a) + 3*y(a).
-2*a**3 + 2
Let i(r) = -2*r**2 - r + 7. Let a(q) = 6*q**2 - 529*q + 262*q + 270*q - 20. What is 4*a(l) + 11*i(l)?
2*l**2 + l - 3
Let l(c) = 8*c + 3. Let v(i) = 1289*i + 0 - 2 - 1296*i. Give 4*l(x) + 5*v(x).
-3*x + 2
Let w(p) = 9*p**3 - 2*p**2 + 3*p. Let h(t) = -17*t**3 + 4*t**2 - 5*t. Let s(x) = 15*x - 87. Let c be s(6). Calculate c*h(z) + 5*w(z).
-6*z**3 + 2*z**2
Let u(i) = -11*i**2 + 11*i - 15. Let w(v) = -13*v**2 + 13*v - 16. Give 6*u(y) - 5*w(y).
-y**2 + y - 10
Let b be -1*56/(-16)*(0 + 20/(-14)). Let j(q) = 4*q**3. Let r(f) be the first derivative of 0*f - 3/4*f**4 + 2 + 0*f**2 + 0*f**3. Give b*r(h) - 4*j(h).
-h**3
Let r(j) = -8*j - 3. Let h(g) = 33*g + 13. Suppose -p - 21*p + 44 = 0. What is p*h(n) + 9*r(n)?
-6*n - 1
Let z(s) = -12*s**3 - 5*s**2 + 10*s + 2. Let p(i) = 36*i**3 + 14*i**2 - 28*i - 6. Determine -5*p(c) - 14*z(c).
-12*c**3 + 2
Let k(p) = -p. Let o(v) = -v**2 + 5*v. Let l be o(5). Let r = l - 4. Suppose 4*j = -0*u + 3*u + 3, 5*u + j + 5 = 0. Let g(x) = 3*x. What is r*k(b) + u*g(b)?
b
Suppose -3*v + 8 = -1. Let b(x) be the second derivative of -x**4/12 + x**2/2 - 2*x. Let a(p) = 0 + p**2 - 2 + 0. Give v*a(q) + 4*b(q).
-q**2 - 2
Suppose -14*u = -12*u + 14. Let l(s) = -3*s + 2. Let i(z) = 10*z - 7. Give u*l(r) - 2*i(r).
r
Let a(x) = -2. Suppose -7 = -3*m + 5, 3*o + 56 = -m. Let r be (3/(18/(-4)))/(o/330). Let p(c) = c + 10. Determine r*a(t) + 2*p(t).
2*t - 2
Let a(s) = -5*s**2 - 161*s - 19. Let q(u) = -2*u**2 