r(b) - 5*x(b).
5*b**2 + 4*b
Let d(p) be the second derivative of 3*p - 2 + p**2 - 1/3*p**3. Let m(s) be the second derivative of -s**3/2 + s**2 + s. Calculate -5*d(u) + 4*m(u).
-2*u - 2
Suppose 5*q + 10 = -5*y, -q = -4*y + 2*q + 27. Let a = 11 - y. Let m(i) = 5*i**3 - 3*i + 8. Let n(o) = -3*o**3 + 2*o - 5. Determine a*n(b) + 5*m(b).
b**3 + b
Let a(w) = 646*w + 612. Let r(h) = h + 3. Give -a(x) + 204*r(x).
-442*x
Suppose -29*i + 23*i + 6 = 0. Let h(n) = 5*n**3 + n**2 - 2*n. Let u(b) = b**3. Suppose -7 - 1 = 2*k. Calculate i*h(w) + k*u(w).
w**3 + w**2 - 2*w
Suppose 0*l = 4*l - 8. Let g(o) be the first derivative of 7/3*o**3 + 7/2*o**l + 7*o + 3 + 1/4*o**4. Let k(c) = -c**2 - c - 1. Determine 2*g(b) + 14*k(b).
2*b**3
Let n(u) = 20*u**2 - u + 19. Let s(x) = -17*x**2 + x - 18. Determine 5*n(y) + 6*s(y).
-2*y**2 + y - 13
Let g(i) = 15*i**2 - 5*i + 17. Let n(t) = -7*t**2 + 2*t - 8. Give -6*g(o) - 13*n(o).
o**2 + 4*o + 2
Let g(s) = 8*s**3 - s**2 - 4*s. Suppose -j + 216 = -3*w + 31, 4*w + 255 = 3*j. Let y = w + 53. Let r(t) = 7*t**3 - t**2 - 3*t. Determine y*r(f) + 6*g(f).
-f**3 + f**2 - 3*f
Let q(j) = -j**3 - 4*j**2 + 5. Let y(c) = 2*c**2 - 3. Suppose -6*g - 23 = 7. Determine g*y(v) - 3*q(v).
3*v**3 + 2*v**2
Let w = 57 + -62. Let u(i) = -4*i**2 + 4*i - 8. Let x(p) be the third derivative of p**5/20 - p**4/8 + 7*p**3/6 + 31*p**2. Determine w*u(h) - 6*x(h).
2*h**2 - 2*h - 2
Let r be (-4)/(-3)*(-18)/12. Let z be (39/(-6))/(1/r). Let s(i) = 4*i**2 - 13*i - 17. Let h(l) = -2*l**2 + 6*l + 8. Calculate z*h(k) + 6*s(k).
-2*k**2 + 2
Let g(q) = -4*q**2 - 4*q - 1. Let l(n) = -11*n**2 - 12*n - 3. Give -17*g(h) + 6*l(h).
2*h**2 - 4*h - 1
Let f(h) = 17*h**3 + 4*h**2 - h + 2. Let d(w) = -18*w**3 - 6*w**2 + w - 3. Determine -2*d(n) - 3*f(n).
-15*n**3 + n
Let g(b) = -b**3 - b - 1. Let h(v) = 12*v**3 - 8*v**2 + 13*v + 10. What is 22*g(m) + 2*h(m)?
2*m**3 - 16*m**2 + 4*m - 2
Let d(a) = -a**2 - 40*a. Let g(p) = 6*p**2 + 196*p. Determine -16*d(z) - 3*g(z).
-2*z**2 + 52*z
Let z(w) = -9*w**3 - 6*w**2 + 5*w + 7. Let b(k) = 4*k**3 + 3*k**2 - 3*k - 3. Give 5*b(v) + 2*z(v).
2*v**3 + 3*v**2 - 5*v - 1
Let c(j) = j + 2. Let z be c(-7). Let k(l) = -2 - 3 + 27751*l - 27760*l. Suppose 2*h = 5*b + 25, -4*h = 9 - 29. Let y(d) = 5*d + 3. Determine b*k(o) + z*y(o).
2*o
Let l(r) = 11*r**2 + 8*r + 31. Let d = 126 - 129. Let n(x) = -4*x**2 - 3*x - 10. Determine d*l(t) - 8*n(t).
-t**2 - 13
Let y(i) = -16*i**3 - 5. Let j(t) = 15*t**3 + 6. Suppose 7*r = -40 + 75. Give r*j(z) + 6*y(z).
-21*z**3
Let d(y) = 2*y**3 - 2*y + 5. Let g(z) = 2*z**3 - z + 4. Let f = -45 + 48. Suppose -f*b - 5 = 1. Give b*d(c) + 3*g(c).
2*c**3 + c + 2
Let a(t) = 3*t + 32. Let u(n) = n**3 + 2*n + 32. Give 2*a(o) - 3*u(o).
-3*o**3 - 32
Let t(p) = -29*p**3 + 13*p - 9. Let z(b) = -3*b**3 + 7*b - 2. Let g(u) = u**3 + u. Let k(i) = 4*g(i) - z(i). Give -9*k(o) - 2*t(o).
-5*o**3 + o
Let g(q) = -4*q**3 + q**2 - 6*q + 2. Let o(a) = a**3 + 1. Give g(b) + 5*o(b).
b**3 + b**2 - 6*b + 7
Let v(a) = -a**2 + a + 2. Let q(p) = 2*p**2 - p - 11. What is -q(f) - 3*v(f)?
f**2 - 2*f + 5
Let l(a) = 6*a - 1. Let n(u) = -u. Let q be -8*(245/(-20) - -12). Give q*l(z) + 11*n(z).
z - 2
Let m(o) = -9*o - 4. Let u(z) = 32*z + 16. Let h(f) = 33*f + 17. Let i(a) = -5*h(a) + 6*u(a). Calculate 6*i(j) + 17*m(j).
9*j - 2
Let l(x) = 2*x**2 + 25*x + 1. Let v(a) = -4*a**2 - 51*a - 2. What is 5*l(c) + 2*v(c)?
2*c**2 + 23*c + 1
Let r(w) = -3*w**2 + 4*w - 14. Let v(h) = 2*h**2 - 2*h + 7. Give -3*r(x) - 7*v(x).
-5*x**2 + 2*x - 7
Let u(a) = 30*a + 8. Let i(c) = 31*c + 7. Give -5*i(z) + 4*u(z).
-35*z - 3
Let h = 18 - 17. Let u(c) = -c - 1. Let r(t) = 7*t + 5. Suppose -4*g + 7*g = 18. Calculate g*u(j) + h*r(j).
j - 1
Let n(u) = 54*u**3 + 36*u. Let o(f) = 14*f**3 - 17*f**2 - 3*f. Let w(z) = -5*z**3 + 6*z**2 + z. Let c(y) = -6*o(y) - 17*w(y). What is -36*c(s) + n(s)?
18*s**3
Let b(m) = -m + 2. Let c(p) = 11*p + 257. Let y be c(-23). Let k(q) = q - 2. Give y*k(f) + 3*b(f).
f - 2
Let c(p) = 23*p - 40. Let h(v) = 11*v - 19. Calculate -4*c(k) + 9*h(k).
7*k - 11
Let r(d) = -d**3 + d**2 + 1. Let g(p) = 3*p**3 + 4*p**2 + 2*p + 4. Let s(h) = g(h) - 6*r(h). Let y(n) = -44*n**3 + 11*n**2 - 11*n + 11. Give 11*s(q) + 2*y(q).
11*q**3
Let k(a) = 68*a + 7. Let l(w) = -66*w - 6. Determine -6*k(s) - 7*l(s).
54*s
Let k(l) = -l - 1. Let p(x) = -39 - 41 - 5*x + 71. Determine 6*k(y) - p(y).
-y + 3
Let z = 4 - -2. Let q(w) = -4*w**2 - 7*w - 4. Let a(i) be the third derivative of -3*i**5/20 - 5*i**4/8 - 3*i**3/2 + i**2 - 15. Determine z*a(h) - 13*q(h).
-2*h**2 + h - 2
Let o(k) = 8*k**3 - 6*k - 14. Let m(d) = 17*d**3 - d**2 - 13*d - 30. What is -6*m(z) + 13*o(z)?
2*z**3 + 6*z**2 - 2
Let m be 8/(-18) - 1133/(-99). Let k(z) = 5*z**3 + 4*z**2 - 4*z - 4. Let s(a) = 6 + 2 + 11*a - 11*a**2 - 12*a**3 - 2*a**3 + 3. Calculate m*k(y) + 4*s(y).
-y**3
Let a(p) = -4*p**2 + p - 1. Let z(q) = -17*q**2 + 4*q - 5. Let u = -1920 + 1911. Determine u*a(v) + 2*z(v).
2*v**2 - v - 1
Let r(d) = 11*d + 198. Let m(l) = -5*l - 100. What is 5*m(w) + 2*r(w)?
-3*w - 104
Let o = -14 - -18. Suppose -9 = d + o*d + k, -3*d - 4*k - 2 = 0. Let q(r) = -3*r - 6. Let z(m) = -m - 1. Calculate d*z(g) + q(g).
-g - 4
Let b(z) be the second derivative of -3/2*z**2 + 1/2*z**3 + 0 - 4*z. Let p(q) = -q + 1. Suppose 0 = 14*a + a - 15. Determine a*p(l) + b(l).
2*l - 2
Let i(u) = -3*u**2 + 3*u + 9. Let y(f) = f**2 - f - 2. Give 4*i(s) + 18*y(s).
6*s**2 - 6*s
Let z(q) be the first derivative of 2*q**3/3 + 3*q**2/2 - 3*q + 4. Suppose 3*u + 8 = 2*o, 5*o + 9 - 22 = 4*u. Let a(p) = -p**2 - 2*p + 2. Give u*z(c) - 3*a(c).
-c**2
Let i(b) = -b + 2. Let d(a) = -a + 3. Suppose 12*h - 21 = 15*h. Give h*i(w) + 6*d(w).
w + 4
Let c be (-2)/(-1) + -1 - (-48)/8. Let p(o) = -2*o - 3. Let s(l) = -3 + 3*l + 6 + l + 3. Give c*p(v) + 3*s(v).
-2*v - 3
Let f(b) = -b + 2. Let n(o) = 1 + 2 - 3 - 1. Let q = 13 + -11. Suppose -20 = -3*w - q*w. Calculate w*n(y) + f(y).
-y - 2
Let u be (-3)/12 + (-4)/(-16). Let a(o) = -1 + 0 + u + 0. Let q(z) = z**3 - 1. Determine 3*a(f) - 2*q(f).
-2*f**3 - 1
Let n(h) = h**3 - h**2 + h + 1. Let m(q) = 2*q**3 - 3*q**2 + 2*q + 4. Let t be 3/(4*5/(-20)). What is t*n(v) + m(v)?
-v**3 - v + 1
Let y(o) = 25*o**3 + 12*o**2 + o + 5. Let n(g) = -11*g**3 - 6*g**2 - 2. Determine -5*n(c) - 2*y(c).
5*c**3 + 6*c**2 - 2*c
Let r(j) = -78*j**2 + 3*j + 1. Let f(k) = 81*k**2 - 4*k - 2. What is 3*f(z) + 4*r(z)?
-69*z**2 - 2
Let x(a) = -6*a - 3 - 2 + 15*a - 7*a. Let h = -5 - -3. Let v(d) = d - 4. Determine h*x(k) + 3*v(k).
-k - 2
Let a = -67 - -72. Let b be (4 - 4 - -1)*a. Let t(j) = -j**2 + 2*j. Let q(o) = 4 - 3 - 4*o + 3*o**2 + 0*o. Give b*t(c) + 2*q(c).
c**2 + 2*c + 2
Let d(y) = -8*y**2 - 8*y - 1. Let w(q) be the third derivative of -2*q**2 - 1/20*q**5 + 0 + 0*q**3 + 0*q - 1/8*q**4. What is -4*d(x) + 11*w(x)?
-x**2 - x + 4
Let r(h) = -h**3 - 3*h**2 - 2*h - 2. Let l = 27 - 23. Let z(i) = 3 + 3*i**3 + 38*i + 4*i**2 - 2*i**3 - 36*i. Determine l*r(y) + 3*z(y).
-y**3 - 2*y + 1
Let f(s) = s - 5. Let l(i) = -2*i + 6. Let b = 18 + -35. Let q = b + 21. What is q*f(h) + 3*l(h)?
-2*h - 2
Let m(v) = -v**2 - v - 1. Let o(x) = 3*x**2 + 4*x + 1. Suppose -4*y + 17 = 5*g, -7*y + 4*y = 2*g - 11. Calculate g*o(w) + 4*m(w).
-w**2 - 3
Let k(d) = 2*d - 4. Let c = 9729/8 + -1216. Let a(x) be the third derivative of 0 + 2*x**2 + 0*x + c*x**4 - 5/6*x**3. Calculate -4*a(o) + 5*k(o).
-2*o
Let b(i) = -488*i**3 - 17*i - 17. Let y(w) = -122*w**3 - 4*w - 4. Calculate 2*b(p) - 9*y(p).
122*p**3 + 2*p + 2
Let o = -37 - -36. Let z(s) = -5*s**2 + s + 6. Let u(m) = m**2 + 3*m + 4. Let d be u(-3). Let q(x) = -4*x**2 + 5*x**2 + d - 5. Give o*z(l) - 6*q(l).
-l**2 - l
Suppose -15 = -3*c + 2*a, 4 = -2*a - 2. Suppose -6 = c*u + 3. Let s(o) = 2*o**2 + 6*o + 1. Let k(i) = -2*i**2 - 5*i - 1. What is u*s(m) - 4*k(m)?
2*m**2 + 2*m + 1
Let n(c) = -c**2 + c + 1. Let d = 6 - 4. Let f(j) = 23*j + j**d - 3 - 1 - 27*j + 1. Suppose 3*b = 5*b + 2. Calculate b*f(x) - 3*n(x).
2*x**2 + x
Let a(y) = -33*y**3 - 88*y**2. Let l(k) = -k**2. What is -5*a(m) + 440*l(m)?
165*m**3
Let d(n) be the second derivative of n**4/4 + n**3 + n**2/2 + 108*n. Let y(b) = 6*b**2 + 13*b + 2. Give 13*d(c) - 6*y(c).
3*c**2 + 1
Let m(l) = -4*l + 1. Let j(x) be the first derivative of x - 50. Calculate -2*j(y) + 2*m(y).
-8*y
Let k(a) 