 Determine f*r(v) + l*j(v).
2*v - 2
Let v(x) = -16*x**3 + 21*x**2 + 7*x + 6. Let a(n) = 8*n**3 - 12*n**2 - 4*n - 3. Calculate 7*a(o) + 4*v(o).
-8*o**3 + 3
Let x(a) = -325*a - 13. Let l(v) = -162*v - 6. What is 13*l(o) - 6*x(o)?
-156*o
Let x(t) = -4*t**3 - 6*t**2 - 5*t + 42. Let m(z) = z**3 + z**2 + z - 2. Determine 6*m(d) + x(d).
2*d**3 + d + 30
Let h(r) = -7*r**2 + 3*r. Let f(u) = u**3 - 13*u**2 + 6*u. What is -4*f(s) + 7*h(s)?
-4*s**3 + 3*s**2 - 3*s
Let d = -35 + 27. Let v(a) = -5*a**3 - 3*a + 8. Let n(q) be the first derivative of -q**4/2 - q**2/2 + 3*q - 1. What is d*n(p) + 3*v(p)?
p**3 - p
Let g(i) = 3*i**2 - 836*i + 4. Let b(u) = -11*u**2 + 2510*u - 13. Calculate -2*b(x) - 7*g(x).
x**2 + 832*x - 2
Let i(m) = m - 4. Suppose -2*p + 4*a + 36 = 7*a, 9 = p - 3*a. Suppose -3 = 4*s - s, y - s - 6 = 0. Let g(u) = -1 - p - y + 6*u. Give -4*g(v) + 21*i(v).
-3*v
Let r be (-1)/(-4)*(-45 + 12 - -5). Let c(k) = 29*k - 13. Let n(q) = 10*q - 4. Give r*n(a) + 2*c(a).
-12*a + 2
Let i(c) be the second derivative of -2*c**3/3 + 3*c**2 - 2*c - 5. Let u(z) be the second derivative of z - 1/2*z**2 + 1/6*z**3 + 0. Calculate i(x) + 5*u(x).
x + 1
Let f be (3 - (-1)/(-2))*2. Suppose -2 = f*i + 5*v - 7, 5*v = 5*i + 35. Let z(g) = -6*g + 2. Let n(l) = -5*l + 1. What is i*z(d) + 4*n(d)?
-2*d - 2
Let j(l) = 9*l**2 + 2*l. Let x(o) = -14*o**2 + 23*o. Let h(u) = u**2 - 5*u. Let i(y) = 5*h(y) + x(y). Give -5*i(a) - 4*j(a).
9*a**2 + 2*a
Let x(z) = z**3 - z**2 + z. Let a(j) = -12*j**3 + 6*j**3 + 3 - 4*j**3 + 5*j**2 - 6*j - 4. Calculate a(y) + 5*x(y).
-5*y**3 - y - 1
Let h(z) = 369*z**3 + 5*z**2 - 5*z. Let d(n) = -82841*n**3 - 1122*n**2 + 1122*n. Give -5*d(c) - 1122*h(c).
187*c**3
Let y(n) = 45*n**2 + n + 1. Let k(x) = 2*x**2 + x. What is 3*k(m) - y(m)?
-39*m**2 + 2*m - 1
Let i(m) = 10*m**2 - 3*m - 3. Let s(a) = -10*a**2 + 2*a + 4. Calculate -3*i(k) - 2*s(k).
-10*k**2 + 5*k + 1
Let p(h) be the second derivative of 1/2*h**2 - 1/20*h**5 + 15*h + 0 + 0*h**3 + 1/12*h**4. Let w(t) = 25*t**3 - 30*t**2 - 30. What is -30*p(d) - w(d)?
5*d**3
Let j(f) = -1. Let w(r) be the first derivative of r**4/12 + r**3 - 15*r**2/2 + 38. Let n(l) be the second derivative of w(l). Give -6*j(o) - n(o).
-2*o
Let g(n) = 36*n**2 - 7*n + 11. Let k(c) = 36*c**2 - 6*c + 9. Give -4*g(u) + 5*k(u).
36*u**2 - 2*u + 1
Let o(w) = -3*w + 99. Let b(u) = u - 49. Calculate 5*b(n) + 2*o(n).
-n - 47
Let s(o) = 2*o**2 + 35*o + 3. Let p(a) = 4*a**2 + 36*a + 4. What is -2*p(w) + 3*s(w)?
-2*w**2 + 33*w + 1
Let q(z) = -26*z + 9. Let g(w) = -51*w + 21. Calculate -4*g(c) + 9*q(c).
-30*c - 3
Let n(d) = 40*d + 2. Let t(k) = 3*k - 1. Determine n(o) + 4*t(o).
52*o - 2
Let x(t) = -t**2 + t - 1. Suppose 2*v + q = -0*q - 1, -4*v + 1 = q. Let y(a) be the first derivative of 2*a**2 - 4*a - 5/3*a**3 + 25. Determine v*y(s) - 4*x(s).
-s**2
Let g(r) = 38*r**3 + 7*r**2 - 13*r + 38. Let t(u) = -9*u**3 - 2*u**2 + 3*u - 9. Determine 2*g(s) + 9*t(s).
-5*s**3 - 4*s**2 + s - 5
Let h(i) = 12*i. Let c(j) = j. Let v be (-2)/4 + -2 + 3/2. Determine v*h(f) + 9*c(f).
-3*f
Suppose -5*o + y = -28, 0 = -5*o + 2*y + 29 - 3. Let a(u) = u + 1. Let h(k) be the third derivative of -k**3 + 31*k**2. Determine o*a(w) + h(w).
6*w
Let k(f) = 512*f + 10. Let v(l) = 512*l + 8. Determine -5*k(o) + 6*v(o).
512*o - 2
Let i(m) = -4*m**2 - 3*m + 11. Let p(j) = -3*j**2 - 2*j + 10. What is -5*i(g) + 6*p(g)?
2*g**2 + 3*g + 5
Let h(y) = 2*y + 2. Let p(r) = 111*r - 16. Determine 6*h(a) + p(a).
123*a - 4
Suppose -o - 4*v = -0*o + 19, -2 = -2*o + 2*v. Let y(n) = -209*n**3 + 44*n**2. Let f(p) = 14*p**3 - 3*p**2. Calculate o*y(h) - 44*f(h).
11*h**3
Let f(x) = -43*x + 6. Let k(s) = 86*s - 15. Determine 5*f(m) + 2*k(m).
-43*m
Let x(v) be the second derivative of -v**5/8 - 5*v**4/8 - v**3/2 + 17*v. Let u(k) be the second derivative of x(k). Let w(g) = -7*g - 7. Give -6*u(y) + 13*w(y).
-y - 1
Let j(b) = 96*b**2 + b - 1. Let m(t) = t**2 + t + 1. Give -j(v) + m(v).
-95*v**2 + 2
Let r(u) = 6*u**2 + 6*u + 6. Let i = -66 + 82. Suppose -3*z + 16 = -a, -3*z - 6 = 5*a - i. Let f(t) = t**2 + t + 1. Calculate a*r(k) + 5*f(k).
-k**2 - k - 1
Let s(k) = 11*k**2 - k + 6. Let u(x) = -29*x + 226. Let o be u(8). Let m(g) = 23*g**2 - 2*g + 13. Calculate o*m(r) + 13*s(r).
5*r**2 - r
Let f = 7 + -10. Let r(x) = -4*x + 9614*x**2 + 3*x**3 - 9614*x**2. Let t(w) = 2*w**3 - 3*w. Suppose p + 5*u = -1 - 15, 3*u - 8 = -5*p. Give f*r(s) + p*t(s).
-s**3
Let g(s) = 4. Let m(f) = 2*f + 1. Calculate g(j) - 3*m(j).
-6*j + 1
Let t(c) = -16*c + 56. Let h(v) = -28*v + 113. Give -3*h(z) + 5*t(z).
4*z - 59
Let y(m) = m + 5. Let z be (-2)/(7/14 - 0/1). Let b(h) = 2*h + 4. Calculate z*b(i) + 3*y(i).
-5*i - 1
Let u(n) be the first derivative of n**2/2 - 4*n + 1. Suppose -4*r + a + 6 = -2*r, a + 3 = -r. Let w(h) = -5 + 0 + 0 - h + 6. What is r*u(c) + 3*w(c)?
-2*c - 1
Let n(u) = 4*u**2 - 4*u - 13. Let b(v) = -7*v**2 + 9*v + 28. Calculate -2*b(t) - 5*n(t).
-6*t**2 + 2*t + 9
Suppose -5*i + 26 = -2*h, 4*i + 0*i - 18 = 3*h. Let a(x) = 4*x - 1. Let j(l) = 5*l. Calculate i*a(f) - 5*j(f).
-f - 6
Let q(i) = 15*i + 4. Let d be q(-1). Let b(j) = 9*j**2 - 15*j + 17. Let o(z) = 5*z**2 - 8*z + 9. Determine d*o(n) + 6*b(n).
-n**2 - 2*n + 3
Let g(t) = -12*t**2 - 3*t. Let s(b) = -6*b - 3*b + 85*b**2 + 9*b + 20*b. Calculate -20*g(r) - 3*s(r).
-15*r**2
Let b(p) = -p + 1. Let x(h) = -4*h + 23*h - 20*h. What is -b(y) - 4*x(y)?
5*y - 1
Let k(i) = -11*i**2 - 5. Let n(s) = -22 - 11*s**2 - s**2 - 15 + 31. Determine 6*k(d) - 5*n(d).
-6*d**2
Let p(h) = -h**3 + 7*h + 2. Let m(n) = -2*n**3 + 21*n + 7. Determine 2*m(s) - 7*p(s).
3*s**3 - 7*s
Let c(s) be the first derivative of 3*s**4/4 + 4*s**3/3 + 2. Let d(p) = -6*p**3 - 16*p**2 - 17*p**2 + 9*p**3 + 38*p**2. Determine -5*c(l) + 4*d(l).
-3*l**3
Let v(f) be the third derivative of 0 + 0*f - 33*f**2 - 1/3*f**3 - 1/8*f**4. Let t(y) = 2*y + 1. Calculate -5*t(r) - 3*v(r).
-r + 1
Let z(c) = -2*c - 34. Let n(a) = 4*a + 31. Give -2*n(f) - 3*z(f).
-2*f + 40
Let h(i) = 39*i - 3*i - 17*i - 3 - 3*i - 2*i. Let j(q) = 42*q - 8. What is -8*h(m) + 3*j(m)?
14*m
Let j = 93 + -91. Let m(x) = x**3 + x**2 + 2*x. Let w(r) = 2*r**3 + r**2 + 3*r. What is j*w(z) - 3*m(z)?
z**3 - z**2
Let s(z) = 15*z**3 - 8*z**2 - 8*z. Let r(g) = -16*g**3 + 10*g**2 + 10*g + 1. Calculate 4*r(y) + 5*s(y).
11*y**3 + 4
Let i = -802 + 807. Let v(c) = -7*c - 6. Let n(g) = 7*g + 5. Give i*n(y) + 4*v(y).
7*y + 1
Let y(g) = 1. Suppose -4*r = -74*a + 69*a + 14, 7 = -3*r + 2*a. Let j(t) = -t + 6 + 0 - 4. Calculate r*j(m) + 4*y(m).
m + 2
Let p(s) = 2*s**2 + s + 5. Let a(h) = 53 - 137*h**2 - 39 + 143*h**2 + 3*h. Determine -6*a(o) + 17*p(o).
-2*o**2 - o + 1
Let l(w) = -9*w**3 + 5*w**2 + 5*w - 47. Let n(o) = -11*o**3 + 6*o**2 + 6*o - 48. Determine 6*l(b) - 5*n(b).
b**3 - 42
Let q(c) = 9*c + c**2 + 9 + 11*c**2 + c**2. Let y(n) be the first derivative of 4*n - 2 + 2*n**2 - 3*n**3 + 5*n**3 + 6. Give -4*q(p) + 9*y(p).
2*p**2
Let z(x) = 8*x**2 + 3*x. Let t be (-9*(5 - 4))/(-3). Let i(v) = -24*v**2 - 8*v. Calculate t*i(s) + 8*z(s).
-8*s**2
Let t(l) = -4*l**2 + l + 3. Let o(y) be the first derivative of 5*y**3/3 - y**2/2 - 4*y + 1. Suppose 52 = -420*a + 433*a. What is a*t(k) + 3*o(k)?
-k**2 + k
Let n(k) = 2. Let v(c) = 9*c + 1. Determine -2*n(y) - v(y).
-9*y - 5
Let x(k) = -k**3 - 5*k**2 + 6*k + 6. Let j be x(-6). Let f(r) = -14 + 18 - 2*r + j*r - 3*r**2. Let m(s) = s**2 - s - 1. Determine f(q) + 4*m(q).
q**2
Let r(t) = 3*t - 14. Let i be 35/(-11) - 36/(-198). Let s(z) = z - 5. Determine i*r(b) + 8*s(b).
-b + 2
Let l(b) = 0 + 74*b - 4 - 1 + b**2 - 72*b. Let k(c) = c - 1. Calculate 2*k(y) - l(y).
-y**2 + 3
Let g(a) be the third derivative of -13*a**6/120 + a**4/12 + a**3/3 + 41*a**2. Let l(m) = -13*m**3 + 3*m + 3. Determine 3*g(f) - 2*l(f).
-13*f**3
Let g(v) = 3*v**2. Let o(u) be the second derivative of -13*u**7/2520 + 5*u**4/12 + 4*u. Let m(z) be the third derivative of o(z). Calculate 18*g(q) + 4*m(q).
2*q**2
Let b(o) = 7*o**2 + 5*o - 5. Let l(w) = -36*w**2 - 24*w + 24. Let m(r) = 7*r**2 + 285*r - 77. Let v be m(-41). Give v*l(x) + 24*b(x).
-12*x**2
Let w = -90 - -86. Let q be (5 - 5 - -9) + w. Let d(l) = 5*l**2 - 6*l + 6. Let m(r) = 5*r**2 - 5*r + 5. Determine q*d(j) - 6*m(j).
-5*j**2
Let f(x) = -26*x - 17. Let q(a) = -74*a - 49. Let h(j) = -17*f(j) + 6*q(j).