30. Calculate l*j(a) + 9*o(a).
2*a**3 - 3*a**2 + a
Suppose 3*u = -4*f + 7, 2*f - 6 = 5*f. Let z(c) = -5*c + 4. Let b(x) = 5*x - 5. Let g(k) = u*z(k) + 6*b(k). Let t(j) = -2*j + 3. Determine -3*g(p) - 10*t(p).
5*p
Let t(b) = b + 4. Let x(i) = 2*i + 7. Let c(v) = -39*v + 20. Let n(j) = 13*j - 7. Let r(q) = 4*c(q) + 11*n(q). Let d be r(1). What is d*t(h) + 6*x(h)?
2*h + 2
Let b(s) = -s**2 - 42*s - 1. Let k(l) = 40*l + 1. What is 3*b(a) + 4*k(a)?
-3*a**2 + 34*a + 1
Let f(j) = 9*j**3 - 13*j**2. Let k(n) = 3*n**3 - 4*n**2. Calculate 3*f(g) - 8*k(g).
3*g**3 - 7*g**2
Let h(j) = 113*j - 6. Let y(v) = v - 1. Determine h(q) - 6*y(q).
107*q
Let x(o) = o**2 - 4*o + 18. Let n(z) = -2*z. What is 3*n(s) - x(s)?
-s**2 - 2*s - 18
Let m(r) = 22*r**2 + 7*r + 106. Let v(j) = -10*j**2 - 3*j - 54. Give -4*m(i) - 9*v(i).
2*i**2 - i + 62
Let y(m) = 2*m**3 + 5*m**2 - 2*m + 83. Let b(c) = -c**3 - 2*c**2 + c - 42. What is -5*b(w) - 2*y(w)?
w**3 - w + 44
Let a(w) = -17*w**2 - 3*w + 4. Let l(g) = -84*g**2 - 14*g + 20. What is -14*a(s) + 3*l(s)?
-14*s**2 + 4
Let z(a) = 3*a**2 - 10*a - 7. Let p(b) = 4*b**2 - 11*b - 8. Give 5*p(h) - 6*z(h).
2*h**2 + 5*h + 2
Let x(t) = -6*t**2 + 6*t - 14. Let k = 4503 + -4500. Let m(n) = -2*n**2 + 2*n - 5. Suppose 3*a = -4 - 20. Give a*m(w) + k*x(w).
-2*w**2 + 2*w - 2
Let r(a) = 1053*a + 16. Let p(h) = -1955423*h - 29708. What is -4*p(b) - 7427*r(b)?
1061*b
Let z = -53 + 51. Let t be -2*z/4*3/1. Let m(s) = -2*s**2 + 4. Let o(y) be the second derivative of y**2/2 + y. Calculate t*o(h) - m(h).
2*h**2 - 1
Let y(q) = -119*q - 4. Let p(m) = -24*m - 1. Let o(k) = 5*p(k) - y(k). Let d(t) be the first derivative of -2*t**2 - 5*t - 1. Give -2*d(b) + 6*o(b).
2*b + 4
Let l(t) = 19*t**2 - 5*t - 55. Let s(y) = -28*y**2 + 7*y + 82. Calculate 7*l(x) + 5*s(x).
-7*x**2 + 25
Let j(y) = -2*y + 7. Suppose -12*w + 24*w - 48 = 0. Let l(i) = 8*i - 17. Let h(s) = -s + 1. Let b(u) = w*h(u) + l(u). Determine -4*b(q) - 7*j(q).
-2*q + 3
Let a(r) = -25*r**2 + 4*r + 16. Let g(o) = -14*o**2 + 2*o + 9. What is 6*a(z) - 11*g(z)?
4*z**2 + 2*z - 3
Let t(n) = 2*n**3 - 17*n. Let r(v) = 43*v - 37*v + 2*v**3 - 3*v**3. Suppose 12*a - 60 = 144. Calculate a*r(l) + 6*t(l).
-5*l**3
Let k(t) = t**3 - 2*t**2 - 5*t. Let a(m) = -m**3 + 2. Let f(q) = -2. Let u(h) = -a(h) - f(h). Give -k(g) + 2*u(g).
g**3 + 2*g**2 + 5*g
Let p(s) = -15*s**2 - s + 2. Let t(d) = d**2 + 2. What is -p(r) + t(r)?
16*r**2 + r
Suppose -5*u + t - 6*t = -35, 2*u - 2*t - 6 = 0. Let n(f) = 2*f - 1. Let x(p) = 3*p - 1. Let c(j) = 2*j. Let i(o) = -c(o) + 2*x(o). Calculate u*n(k) - 3*i(k).
-2*k + 1
Let y(w) = w + 1. Let r be (-1 - -3) + 27 + -2. Let g be ((-3)/(-9))/(9/r). Let o(h) = -h - 4*h + 4 + 6*h. What is g*o(z) - 4*y(z)?
-3*z
Let n(i) be the third derivative of i**4/6 + i**3/6 - 201*i**2 + 2*i. Let y(c) = 17*c + 4. Let r be -10 + (0 - 1*-1). What is r*n(w) + 2*y(w)?
-2*w - 1
Let i(y) = y**3 - y**2 + y - 2. Let q(t) = 3*t**3 - 2*t**2 + 2*t - 33. What is 2*i(k) - q(k)?
-k**3 + 29
Suppose 4*h + 4 = 12. Let u(q) = 1 - h*q - 2 + 3. Let x(l) = -6*l + 6. Determine 7*u(c) - 2*x(c).
-2*c + 2
Let s(p) = p**3 + 3*p + 3. Let z = -9 + 13. Let b(d) = 4 + 4*d - 3*d**3 + z - 4 + 5*d**3. Determine 3*b(v) - 4*s(v).
2*v**3
Let i(y) = 7*y**3 - y**2. Let z(h) = -4*h**3. Calculate -i(x) + 3*z(x).
-19*x**3 + x**2
Let d(w) = -3*w**2 - 5*w + 1. Let l(x) = -16*x**2 - 26*x + 5. Let y(b) = -7*b**2 - 35*b + 40. Let p be y(-6). Calculate p*l(g) + 11*d(g).
-g**2 - 3*g + 1
Suppose -6 = 2*m - d, -2*d - 28 = 4*m - 0. Let b(z) = -2*z**2 + z - 2. Let q(n) = 3*n**2 - n + 3. Calculate m*b(o) - 3*q(o).
o**2 - 2*o + 1
Let n(u) = 184*u**3 + 3*u**2 - 3*u + 6. Let w(l) = l**3 + l**2 - l + 2. Calculate -n(g) + 3*w(g).
-181*g**3
Let s(r) = -900*r. Let c(u) = -u. Give -35*c(f) - s(f).
935*f
Let t(r) = -315*r + 15. Let v(b) = -318*b + 11. Determine -3*t(a) + 4*v(a).
-327*a - 1
Let q(d) = -2*d**2 + 27*d + 49. Let m(w) = -w**2 + 16*w + 24. Give -7*m(s) + 4*q(s).
-s**2 - 4*s + 28
Let b(x) = -119*x - 26. Let f(i) = -40*i - 9. What is 6*b(j) - 17*f(j)?
-34*j - 3
Let f(b) = -19*b**2 + 7*b + 7. Let y(g) = -6*g**2 + 2*g + 2. Let d(h) = 9*h + 16. Let w be d(-1). What is w*y(q) - 2*f(q)?
-4*q**2
Let p(w) = -4*w**2 - w + 13. Let z(o) be the second derivative of 30*o - 1/12*o**4 + 3/2*o**2 + 0 + 0*o**3. Calculate 2*p(d) - 9*z(d).
d**2 - 2*d - 1
Let z = -3 - -2. Let v(f) = -2*f + 6. Let j(w) be the first derivative of w**2/2 - w - 1396. Give z*v(l) - 3*j(l).
-l - 3
Let r(m) = -m**3 + 5*m**2 - 4. Let y(d) be the first derivative of 0*d**2 - 2 + 11/3*d**3 - 9*d - 1/2*d**4. Let p = 7 - 1. What is p*y(j) - 13*r(j)?
j**3 + j**2 - 2
Let m(s) be the third derivative of -5*s**4/24 - 3*s**3/2 - s**2 + s. Let c be (24/9)/(4/6). Let k be 12*(18/(-4))/3. Let b(h) = -h - 2. Give c*m(x) + k*b(x).
-2*x
Let t(v) = -5*v**3 + 13*v**2 + 2. Let g(m) = 2*m**3 - 6*m**2 - 1. Suppose -2*y + 4*y - 24 = 0. Suppose 3*u - y - 6 = 0. Determine u*t(s) + 13*g(s).
-4*s**3 - 1
Let c(u) be the third derivative of u**7/5040 + u**5/2 - 25*u**2. Let t(s) be the third derivative of c(s). Let a(b) = -3*b - 3. Determine a(o) + 2*t(o).
-o - 3
Suppose -29*z + 43*z = -154. Let c(h) = -5*h**2 + 17*h - 17. Let q(b) = 2*b**2 - 6*b + 6. Calculate z*q(f) - 4*c(f).
-2*f**2 - 2*f + 2
Let d(t) = -9*t**3 - 11*t**2 - 15*t + 13. Let j(h) be the first derivative of -5*h**4/4 - 2*h**3 - 4*h**2 + 7*h + 128. Determine 6*d(w) - 11*j(w).
w**3 - 2*w + 1
Let p(h) = -3*h**3 + 5*h**2 - 2. Let c(i) = -i**3 - i. Let r(m) = 6*c(m) - p(m). Let o(t) = t**2 + t. Determine 6*o(k) + r(k).
-3*k**3 + k**2 + 2
Let f = 97 + -95. Let w(i) be the second derivative of 0*i**3 + 1/3*i**4 - 6*i + 0 - i**f. Let s(p) = -p**2. Give -3*s(c) - w(c).
-c**2 + 2
Suppose 2*i = 3*n - 10, 2*i - 7*i - 5*n = -25. Let f(w) = 7*w**2 - 10. Let z(q) = q**2 - 1. Give i*f(m) - 6*z(m).
m**2 - 4
Let c(f) = 3*f - 2. Let n(l) = -l + 2. Calculate 3*c(q) + 2*n(q).
7*q - 2
Suppose -7*b - 503 + 489 = 0. Let q(o) = -4*o**3 + 7*o**2 - 4. Let i(y) = y**3 + 1. Determine b*i(c) - q(c).
2*c**3 - 7*c**2 + 2
Let c(g) = 3*g - 1. Let w(m) be the third derivative of -m**5/60 + 2*m**4/3 - m**3 + 200*m**2. Calculate 11*c(v) - 2*w(v).
2*v**2 + v + 1
Let u(r) = 3*r**2 + 4 + 7*r**2 + 16 - 19. Let t(h) = 21*h**2 + 2. Calculate -2*t(k) + 5*u(k).
8*k**2 + 1
Let n(r) = -r**3 + 8*r**2 + 8*r - 8. Let t(u) = -3*u**2. Let x(d) = -2*d**2 + d - 1. Let i(y) = -3*t(y) + 3*x(y). What is -8*i(b) + 3*n(b)?
-3*b**3
Suppose 64*p - 62*p + 20 = 0. Let i(w) = -w**2 - 3*w + 1. Let g(h) be the second derivative of -2*h - h**2 + 7/6*h**3 + 1/6*h**4 + 0. Determine p*i(s) - 4*g(s).
2*s**2 + 2*s - 2
Let y(j) = 17*j**3 + 4*j**2 + 4*j. Let l(f) be the second derivative of f**5/5 + f**4/12 + f**3/6 + 85*f. What is -9*l(u) + 2*y(u)?
-2*u**3 - u**2 - u
Let q(w) = 48*w**2 + 9 - 8 - 34 - 33*w. Let x(c) = 3*c**2 - 2*c - 2. Let a be (-4)/(-10) + 108/(-45). Determine a*q(o) + 33*x(o).
3*o**2
Let o be -5*(38/(-90) + 62/279). Let n(t) = t**3 + 1. Let l(i) = i**3 - 2*i**2. Give o*l(r) + 2*n(r).
3*r**3 - 2*r**2 + 2
Let n(i) = -122*i**3 - 7*i**2 + i + 3. Let b(r) = 41*r**3 + 2*r**2 - 1. Calculate -7*b(l) - 2*n(l).
-43*l**3 - 2*l + 1
Let p(u) = -7*u + 24. Let r(v) = 24*v - 48. Determine 5*p(z) + 2*r(z).
13*z + 24
Let x(l) = -2*l**2 - 2*l - 1. Let c(f) = 7*f**2 - 6*f + 4. What is -c(z) + 3*x(z)?
-13*z**2 - 7
Let u(p) = 4*p + 6. Let r(w) = -w - 1. Give -9*r(b) - 2*u(b).
b - 3
Let l(t) = -17*t + 4. Let z(m) = m**2 + 9*m - 2. What is 4*l(u) + 7*z(u)?
7*u**2 - 5*u + 2
Let f(a) = 5*a**3 - 2*a**2 + 2*a + 8. Let p(o) = o**3 - o + 1. Give f(w) - p(w).
4*w**3 - 2*w**2 + 3*w + 7
Let b(l) = 1299*l**2 - 11. Let o(r) = 260*r**2 - 2. Give 2*b(c) - 11*o(c).
-262*c**2
Let k(p) = -63*p**3 - 35*p. Let g(z) = -3*z**3 - 4*z + 4. Let t(f) = -f**3 - 1. Let q(m) = -g(m) - 4*t(m). Determine 4*k(l) + 35*q(l).
-7*l**3
Let f(x) = x**2 + x + 1. Let b(s) = 6*s**2 + 18*s + 7. Determine -b(y) + 5*f(y).
-y**2 - 13*y - 2
Let b(p) = 3*p**3 + 3*p**2 - 6*p - 4. Let y(m) = -2*m**3 - 3*m**2 + 5*m + 4. What is 5*b(v) + 6*y(v)?
3*v**3 - 3*v**2 + 4
Let j(k) = -9*k**3 - 4*k**2 - 8*k + 67. Let f(b) = 7*b**3 + 3*b**2 + 7*b - 65. Give -4*f(m) - 3*j(m).
-m**3 - 4*m + 59
Let h(a) = -a**3 - 2. Let i(k) = 2*k**3 + 4*k - 5. Calculate 3*h(w) - i(w).
-5*w**3 - 4*w - 1
Let w(v) = v**3 - 