- 5. Suppose 3*p = 3*n + 153, 2*n - 5*p = 819 - 906. Let s(y) = -21*y**2 - 56*y + 56. What is n*i(a) - 5*s(a)?
-7*a**2
Let l(h) = 7*h**3 - 14*h**2 + 20*h + 25. Let m(f) = -5*f**3 + 12*f**2 - 16*f - 26. Calculate -4*l(g) - 5*m(g).
-3*g**3 - 4*g**2 + 30
Let v(a) be the second derivative of 12*a + 1/6*a**3 + 5/2*a**2 + 0. Let o be ((-2)/(-4))/((-1)/(-26)). Let b(j) = -2*j - 11. Calculate o*v(y) + 6*b(y).
y - 1
Let g = 4 - -1. Let o(b) = b**2 + 1. Let z(m) = -3*m**2 + 2*m - 2. Let y be (-20)/2 + (-1760)/(-160). Determine g*o(p) + y*z(p).
2*p**2 + 2*p + 3
Let z(f) = 1. Suppose -10 = 2*i + 4*v, 114*v = 3*i + 117*v + 6. Let h(l) = -3 + 5*l - 2*l + 11*l**2 - 9*l**2. Calculate i*h(g) + 4*z(g).
2*g**2 + 3*g + 1
Let u(j) = 3*j**2 - 2*j + 7. Let y(c) = 4*c**2 - 2*c + 1 + 0 + 7. Suppose -9*z - 205 = -61. Let l be ((-3)/(-4))/((-2)/z). Give l*u(m) - 5*y(m).
-2*m**2 - 2*m + 2
Let s(r) = -9*r**3 + 66*r**2 - 4*r + 11. Let m(p) = 45*p**3 - 330*p**2 + 18*p - 51. Give -3*m(k) - 14*s(k).
-9*k**3 + 66*k**2 + 2*k - 1
Let t(l) = 2*l - 1. Let h(b) = 88*b + 11. Let q(m) = -49*m - 6. Let x(c) = -5*h(c) - 9*q(c). Give -2*t(r) + 2*x(r).
-2*r
Let t(j) be the third derivative of -13*j**5/60 + 5*j**4/24 - 5*j**3/6 - 628*j**2. Let f(m) = 90*m**2 - 36*m + 36. Give -5*f(s) - 36*t(s).
18*s**2
Suppose 2*c = -2*c + 16. Let r(h) = 5*h**2 - 4*h - 7. Let q(g) be the second derivative of -g**4/6 + g**3/3 + 3*g**2/2 - 592*g. What is c*r(i) + 9*q(i)?
2*i**2 + 2*i - 1
Let s(a) = 158*a - 125. Let d(w) = -187*w + 123. What is 6*d(m) + 7*s(m)?
-16*m - 137
Suppose 21*t + 90 = 11*t. Let o be (t/(-18))/((-1)/(-30)). Let c(q) = -7*q**3 - 2*q**2 + 5. Let y(u) = -3*u**3 - u**2 + 2. What is o*y(s) - 6*c(s)?
-3*s**3 - 3*s**2
Let i be -9 + -10 + (-238)/(-17). Let y(q) = 731*q**2 - 86*q. Let t(f) = 43*f**2 - 5*f. Determine i*y(j) + 86*t(j).
43*j**2
Let q(x) = -206*x + 9. Let v(z) = -106*z + 5. Determine 3*q(d) - 5*v(d).
-88*d + 2
Let u(x) = -5*x + 17. Let m be u(4). Let r = 120 + -127. Let z be (r - -6)/(2/(-10)). Let p(g) = -2*g - 6. Let h(s) = -4*s - 11. What is m*h(a) + z*p(a)?
2*a + 3
Let v(g) = -30*g + 5. Let z(t) = -830 - 829 - 828 + 2488. What is v(d) - 4*z(d)?
-30*d + 1
Suppose -36 + 60 = 4*t. Suppose 0 = k - t*k + 10. Let q = 17 + -3. Let i(b) = -b - 8. Let f(z) = 1. Determine k*i(s) + q*f(s).
-2*s - 2
Let f(a) = -6*a**3 - 2*a**2. Let h(b) = -37*b**3 - 13*b**2. Suppose -355 - 1403 = 59*i + 543. Calculate i*f(s) + 6*h(s).
12*s**3
Let t(a) = -3*a + 4. Suppose m + 2*v - 12 = 0, 3*m + 5*v - 226 = -198. Let n(s) = -2*s + 4. Calculate m*t(g) + 5*n(g).
2*g + 4
Let x(y) = -69*y**2 - 10*y - 60. Let k(f) = -38*f**2 - 6*f - 31. Give -7*k(h) + 4*x(h).
-10*h**2 + 2*h - 23
Let j(r) = -r. Suppose 4*n = 6*n + 6. Let a = -4 - n. Let f(p) be the third derivative of -p**5/30 + p**4/12 + p**3/3 - 94*p**2 + 2. Determine a*f(k) - 2*j(k).
2*k**2 - 2
Let w(o) = -14*o**3 + o**2 + 4*o - 4. Let f(b) = 15*b**3 - b**2 - 3*b + 3. Let p = -11621 - -11625. Calculate p*f(v) + 3*w(v).
18*v**3 - v**2
Let v be 14/(-3)*24/16. Let g(p) = -p**2 - 7*p + 22. Let q(w) = w**2 + 6*w - 21. Give v*q(b) - 6*g(b).
-b**2 + 15
Let w(o) = o**2. Suppose 75 = 26*x + 48*x - 73. Let p(d) = d**2 - d. What is x*w(c) - p(c)?
c**2 + c
Let q(f) = f**3 - 36*f**2 - 40*f - 27. Let t(d) = d**3 + 9*d**2 - d + 2. What is q(o) + 4*t(o)?
5*o**3 - 44*o - 19
Let d(h) = 2*h**3 + 2*h**2 - 2. Suppose 0 = 21*q + q - 44. Let s(v) = 7*v - 8*v - 7 + 104*v**2 + 6*v**3 + v - 97*v**2. Give q*s(j) - 7*d(j).
-2*j**3
Let n(i) = -13*i**3 + 918*i**2 + 8*i + 1. Let j(z) = -10*z**3 + 920*z**2 + 6*z + 1. Give -4*j(v) + 3*n(v).
v**3 - 926*v**2 - 1
Let z(o) = 16*o**2 + o - 1. Let i(r) = 67*r**2 + 9*r - 11. Let j(v) = -i(v) + 4*z(v). Let h(s) = -2*s**2 - 4*s + 6. What is -4*h(p) + 3*j(p)?
-p**2 + p - 3
Let y(g) = -2*g - 16. Let r(t) = -363*t + 816. What is 6*r(h) + 306*y(h)?
-2790*h
Let d(l) = 1864. Let m(b) = -1118. Let x(w) = -6*d(w) - 10*m(w). Let u = -6 - -2. Let c(n) = -n - 1. Give u*c(q) + x(q).
4*q
Let q(c) = -2*c**3 + 3*c**2 + 356*c - 6. Let r(w) = -2*w**3 + 2*w**2 + 355*w - 4. Give 2*q(g) - 3*r(g).
2*g**3 - 353*g
Let q(t) be the second derivative of t**4/12 + 3*t**2 + 5*t. Let m(p) = p**2 + 5. Let i be -1*((-5)/(-10)*-8 - 0). Determine i*q(n) - 5*m(n).
-n**2 - 1
Let f(v) = -4*v - 6. Suppose 2*a = -d + 4, 21*d = -5*a + 25*d + 36. Let q(k) = -15 + a*k + 4 + 16. What is 3*f(u) + 4*q(u)?
4*u + 2
Let b(a) = 6*a**3 + 4. Let c(l) = -l**2 - 28*l + 133. Let n be c(-32). Let m(y) = -36. Let o(t) = -7. Let v(d) = n*o(d) - m(d). Give -b(g) + 4*v(g).
-6*g**3
Let a(j) = -j**2 + 5*j - 5. Let n(c) be the first derivative of c**2/2 - c + 620. Let o = -15 - -12. Let h be (o - -2)*(-2 - -1). Determine h*a(m) - 5*n(m).
-m**2
Let k = -103 + -266. Let p = k + 394. Let w(n) = 15*n + 25. Let i(c) = c + 1. Determine p*i(o) - w(o).
10*o
Let b(w) = 8693*w + 11. Let l(a) = 2891*a + 4. Give 4*b(u) - 11*l(u).
2971*u
Let m(j) = 9*j**2 + 4*j - 1. Let a(b) = -3*b + 4*b**2 + 11*b - 6*b - 2*b**2 + 3*b**2. Determine -5*a(c) + 3*m(c).
2*c**2 + 2*c - 3
Let w(g) = 110*g**2 + 45*g + 45. Let i be (-2 + -2)*45/4. Let l(h) = -5*h + 18804 - 18806 - 5*h**2 + 3*h. Give i*l(c) - 2*w(c).
5*c**2
Let x(d) = -3*d**3 + 2*d - 2. Let p(u) be the second derivative of -2*u**2 + 0*u**4 + 5/6*u**3 + 18*u - 7/20*u**5 + 0. Determine -2*p(w) + 5*x(w).
-w**3 - 2
Let k = -5422 - -5417. Let t = 8 - 3. Suppose -2*a + 12 = -t*a. Let g(o) = -o - 2. Let l(q) = q + 2. Calculate a*g(f) + k*l(f).
-f - 2
Suppose 7*s + 12*s + 5 + 33 = 0. Let d(x) = -2*x**2 - 22*x + 1. Let o(z) = -8*z**2 - 88*z + 5. Calculate s*o(j) + 9*d(j).
-2*j**2 - 22*j - 1
Let b(t) = 114*t - 340. Let x(n) = 23*n - 71. Give 3*b(f) - 14*x(f).
20*f - 26
Let q(z) = 114*z**2 - 3*z + 7. Let y(m) = -319*m**2 + 8*m - 20. Let h(l) = 8*q(l) + 3*y(l). Let a(n) = 23*n**2 + 2. Determine -9*a(i) - 4*h(i).
-27*i**2 - 2
Let k(h) = 8*h**2 + h - 1. Let x(b) be the third derivative of b**5/60 - b**4/24 + 1430*b**2. Determine -k(g) - x(g).
-9*g**2 + 1
Let y(h) = -53*h**3 + 10*h**2 + 14*h - 21. Let t(p) = 27*p**3 - 5*p**2 - 9*p + 12. Determine 5*t(a) + 3*y(a).
-24*a**3 + 5*a**2 - 3*a - 3
Let f(u) be the first derivative of u**3/3 + 5*u**2/2 + 5703. Let a(h) = h**2 + 5*h - 1. Calculate -3*a(t) + 2*f(t).
-t**2 - 5*t + 3
Suppose -200*x = -404*x + 187*x + 85. Let r(p) = -11*p**2 + 36*p + 8. Let h(g) = -7*g**2 + 24*g + 5. Give x*r(j) - 8*h(j).
j**2 - 12*j
Let w(x) = 121*x**3 + 125*x**2 + 3*x - 60. Let z(l) = 40*l**3 + 42*l**2 + l - 18. What is -3*w(t) + 10*z(t)?
37*t**3 + 45*t**2 + t
Let q(g) = 268214400*g + 75040. Let u(m) = 10723*m + 3. Determine -6*q(z) + 150080*u(z).
21440*z
Let n(b) = 120*b**2 + 27*b + 21. Let j(q) = -24*q**2 - 5*q - 4. What is -21*j(h) - 4*n(h)?
24*h**2 - 3*h
Let g(n) = -n**2 + n - 1. Let s(v) = -2*v**2 + 4*v + 3. Let r(q) = -2 - 1 + 4 - 3*q**2 + 0 + 4*q. Let w(p) = -5*r(p) + 4*s(p). Determine -4*g(k) - w(k).
-3*k**2 - 3
Suppose -r - 4 = 0, 4*r = 851*l - 849*l - 10. Let q(p) be the first derivative of 2*p**2 + 4*p + 2. Let k(d) = d. What is l*k(f) + q(f)?
f + 4
Let m(q) = q - 18 + 87 - 29 - 42 + 7*q**2. Let g(n) be the third derivative of 13*n**5/60 + n**4/24 - 2*n**3/3 + 3*n**2. What is -4*g(r) + 7*m(r)?
-3*r**2 + 3*r + 2
Let i(h) = -20*h + 40*h + 12 - 4 + 11*h + 0. Let u(r) = -10*r - 3. Let k = 36 - 44. Give k*u(z) - 3*i(z).
-13*z
Let i(o) = -2*o - 2. Let m(w) be the third derivative of w**4/24 + 207*w**2 - 2*w + 1. Determine i(f) + 4*m(f).
2*f - 2
Let m(o) = 3*o**2 + o - 1. Let b(d) = 5 - 4*d**2 - 4*d - 1 - 6*d**2. Suppose 142*a = 141*a + 6. Let y(w) = -w**2 + 8*w - 5. Let c be y(a). Give c*m(x) + 2*b(x).
x**2 - x + 1
Let y(r) = 372603*r**2 - 231*r - 231. Let d(j) = 3240*j**2 - 2*j - 2. Determine 231*d(f) - 2*y(f).
3234*f**2
Let o(i) = -2523*i**3 - 7*i**2 + 21*i. Let y(g) = -2523*g**3 - 6*g**2 + 18*g. What is -6*o(k) + 7*y(k)?
-2523*k**3
Let y(c) = -4*c**3 + 2*c**2 + 3. Let u(o) = -5*o + 9*o**3 - 7 - 5*o**2 - 11*o + 16*o. Let g = 46 + -40. Suppose -g*x + 3*x + 9 = 0. Calculate x*u(h) + 7*y(h).
-h**3 - h**2
Let c(r) = -6*r**2 + 6*r + 16. Let z(x) = 2*x**2 - x - 4. Let t(l) = c(l) + 4*z(l). Let g(y) = -5*y**2 - 5*y + 1. Let o = 17 - 9. Determine o*t(d) + 3*g(d).
d**2 + d + 3
Let y(g) = -7*g**2 + 7*g + 33. Let s(b) = -b**3 - 2*b**2 + 2*b. Determine -4*s(o) + y(o).
4*o**3