- 6. What is 5*m(j) + 8*y(j)?
-164*j**2 + 2
Let n(d) be the third derivative of -13*d**4/24 + 5*d**3/6 + 143*d**2. Let y(t) = 12*t - 6. Determine 7*n(i) + 6*y(i).
-19*i - 1
Let j(p) = -2*p + 88 - 40 - 47. Let n(x) = 10*x - 6. Determine 14*j(m) + 3*n(m).
2*m - 4
Let h(r) = 872*r + 39. Let p(n) = 219*n + 9. Give 2*h(i) - 9*p(i).
-227*i - 3
Let f(j) be the second derivative of j**3/6 + 2*j**2 + 4*j. Let k be (-2)/(-7) + 195/105*9. Let d(b) = -3*b - 11. What is k*f(l) + 6*d(l)?
-l + 2
Suppose 3*c - 13 + 4 = 0. Suppose -3*k + 14 = -2*z, c*k + 3*z = 2*k + 12. Let b(g) = -3*g + 3. Let q(x) = 3*x - 4. Calculate k*b(t) + 5*q(t).
-3*t - 2
Let a(x) = -10*x**3 + 9*x**2 - 10*x. Let o(m) = -7*m**3 + 6*m**2 - 7*m. Calculate 5*a(h) - 7*o(h).
-h**3 + 3*h**2 - h
Suppose -4*t - 9 = 23. Let p = -10 - t. Let m be (-2 - p - -4)/1. Let f(x) = -14*x**2 + 14*x - 14. Let l(n) = -5*n**2 + 5*n - 5. Calculate m*f(y) - 11*l(y).
-y**2 + y - 1
Let d(b) = 3*b**2 + 9*b - 10. Let g be d(-6). Let u(y) = -30 + g - 15. Let a(s) = -s. Determine 2*a(p) - u(p).
-2*p + 1
Let z(k) = -617*k**2 + 2*k - 3. Let m(c) = 620*c**2 - 3*c + 4. What is -2*m(t) - 3*z(t)?
611*t**2 + 1
Let n(r) = -11*r**2 + 4. Let l(p) = -17*p**2 - 8*p + 7. Let u(j) = 12*j**2 + 5*j - 5. Let q(c) = 5*l(c) + 8*u(c). What is 5*n(o) + 4*q(o)?
-11*o**2
Let u(j) = -2*j**2 - 2*j + 38. Let v be u(-5). Let o(x) = 14*x + 10. Let n(w) = 5*w + 3. What is v*o(z) + 7*n(z)?
7*z + 1
Let t(j) = 1 - 3 - 7 + 11. Let f(g) = -g + 1. What is -3*f(o) + 4*t(o)?
3*o + 5
Let w(l) = 79*l**2 - 24*l + 14. Let y(m) = -27*m**2 + 8*m - 5. Determine -4*w(p) - 11*y(p).
-19*p**2 + 8*p - 1
Let k(c) be the first derivative of 14 + 7/2*c**2 + 0*c. Let t(u) = -3*u. Calculate 6*k(m) + 13*t(m).
3*m
Let c(o) = o - 5. Let x(s) = 10*s - 2. Let k(u) = -3*u - 1. Let q(p) = -3*k(p) - x(p). What is 4*c(l) + 5*q(l)?
-l + 5
Let r(a) = 0 - a + 2 + 2. Let n(y) = -y + 42. Let u(s) = -s + 50. Let v(j) = -6*n(j) + 5*u(j). What is -4*r(d) - 7*v(d)?
-3*d - 2
Let u(g) = 2*g**2 - 5. Let b(f) = -4*f**2 - f + 12. Give 2*b(c) + 5*u(c).
2*c**2 - 2*c - 1
Let k(o) = 9*o + 3. Let u(t) be the first derivative of 2*t**2 + t + 27. Let z = -1 + 4. Suppose -z*d = -4*p - 7, 2*d - 2*p = 3*p. Calculate d*u(g) - 2*k(g).
2*g - 1
Let b(h) = -9*h**2 + 34*h - 26. Let c(o) = 4*o**2 - 16*o + 13. Give -6*b(v) - 13*c(v).
2*v**2 + 4*v - 13
Let a(l) be the third derivative of -l**6/20 - 3*l**5/5 - 3*l**4/2 + 6*l**3 + 3*l**2 + 4*l. Let h(m) = -m**3 - 5*m**2 - 5*m + 5. Determine 5*a(c) - 36*h(c).
6*c**3
Let j = 26 - 32. Let z(u) = 6*u**2 + 4*u - 2. Let y(n) be the third derivative of -7*n**5/60 - 5*n**4/24 + n**3/3 + 6*n**2 + 1. Determine j*z(w) - 5*y(w).
-w**2 + w + 2
Let t(i) = -i + 4. Let g be t(-15). Let n(q) = 7*q + g - 6 - 4*q**2 - 2. Let r = 5 + 1. Let b(w) = w**2 - 2*w - 3. Calculate r*n(k) + 22*b(k).
-2*k**2 - 2*k
Let h(v) = -2*v - 29. Let l be h(-14). Let p be (3*(-10)/6)/l. Let z(u) = u**2 + 1. Let n(x) = -6*x**2 - x + 13*x**2 - 1 + 6. Calculate p*z(r) - n(r).
-2*r**2 + r
Let s(n) = 7*n**2 + 4. Let g(f) = 1. Suppose 3*q - o = -2, -2*o = 4*q + 68 - 82. Give q*s(h) - 5*g(h).
7*h**2 - 1
Let j(d) = -4*d - 6. Let r(n) be the second derivative of n**4/6 + 7*n**3/6 + 6*n**2 - 15*n. Let y(t) be the first derivative of r(t). What is -5*j(p) - 4*y(p)?
4*p + 2
Suppose -7*w - 15 = 482. Let m = -68 - w. Let r(y) = 3*y. Let n(v) = 4*v. Let j(s) = 4*n(s) - 5*r(s). Let d(i) = 2*i - 1. Determine m*j(q) - 2*d(q).
-q + 2
Let d(u) = 3*u**3 - 3. Let t = 4 - 0. Let r(k) = -k**3 + k**2 + k - 1. Let n(z) = -3*z**2 - 3*z + 5. Let y(h) = n(h) + 3*r(h). Give t*d(f) + 5*y(f).
-3*f**3 - 2
Let l(y) = y**2 + y + 1. Let c(a) = -8*a**2 - 6*a - 3. Suppose -20 = -5*p + 10. Calculate p*l(o) + c(o).
-2*o**2 + 3
Suppose -1 - 1 = -h. Let a(q) = -35*q + 41*q - 6 - 5*q**3 + 3*q**2 + h*q**2. Let o(r) = -4*r**3 + 4*r**2 + 5*r - 5. Determine -5*a(c) + 6*o(c).
c**3 - c**2
Let s = 3 + -1. Let m(l) = -s*l**2 + 5 - 2*l + 0 - l**2. Suppose 0*i + 5*i + 5*c = 0, 6 = -3*i - c. Let t(h) = -2*h**2 - 2*h + 4. Give i*m(p) + 4*t(p).
p**2 - 2*p + 1
Let n(j) = -16*j**3 - 8*j**2 + 10*j. Let z(c) = -48*c**3 - 24*c**2 + 32*c. What is -16*n(o) + 5*z(o)?
16*o**3 + 8*o**2
Let d(w) = w**2 + w + 2. Let z(k) = -3*k**3 - 37*k**2 - k + 1. Determine d(q) - z(q).
3*q**3 + 38*q**2 + 2*q + 1
Let u(n) = n - 1. Suppose -4 = -4*b, -4*b + 4 = 2*w - 2. Let r(i) = i - 13. Let m(h) = w*r(h) - 6*u(h). Let g(t) = 5*t + 6. Determine -6*g(q) - 5*m(q).
-5*q - 1
Let r(g) = -8*g + 25. Let b(h) = 7*h - 26. Give -6*b(l) - 5*r(l).
-2*l + 31
Suppose 2 = -5*d + 7. Let j(t) = 3*t + 6. Let g(q) be the third derivative of q**4/24 + q**3/6 - 3*q**2 - 21. Calculate d*j(p) - 5*g(p).
-2*p + 1
Let z(i) = 111*i**3 + 28*i + 7. Let h(d) = 37*d**3 + 8*d + 2. Give 21*h(l) - 6*z(l).
111*l**3
Let a(n) = -12*n**3 - 19*n**2 - 22*n + 49. Let y(h) = 4*h**3 + 7*h**2 + 8*h - 16. Give -3*a(w) - 8*y(w).
4*w**3 + w**2 + 2*w - 19
Let q(i) = 2*i + 157. Let t(d) = 4*d + 310. Determine 5*q(y) - 2*t(y).
2*y + 165
Let m(v) = -5 + 3 + 0 + 5*v. Let t(r) = r**2 - 7*r + 16. Let n be t(3). Let b(p) = -n*p - 33 + 0*p + 34. Calculate 3*b(u) + 2*m(u).
-2*u - 1
Let n(b) = 7*b**3 - 9*b**2 - 5*b. Suppose 8*f - 13*f = 15. Let v be 2 + 1 + 9*4/f. Let a(y) = -3*y**3 + 4*y**2 + 2*y. Calculate v*a(u) - 4*n(u).
-u**3 + 2*u
Let x(u) = 3*u - 6 + 0*u**2 + 3 + u**2. Suppose 17 = -p + 5*f, -6*p - 4*f = -4*p - 22. Let z(s) = -8*s + 30 - 16 - 6 - p*s**2. Give 11*x(r) + 4*z(r).
-r**2 + r - 1
Let h(r) = -3*r + 213. Let g(d) = 3*d - 213. Determine 4*g(z) + 3*h(z).
3*z - 213
Let n(c) = 2*c**3 - 81*c**2 - 3*c - 4. Let b(o) = o**3 - 80*o**2 - 2*o - 2. Determine -3*b(f) + 2*n(f).
f**3 + 78*f**2 - 2
Let w(h) = -3*h - 1. Let i(j) = 49*j - 26*j - 1 - 27*j. Let u = 4 - 0. Give u*i(o) - 6*w(o).
2*o + 2
Let n(i) = 7*i**2 - 186*i - 2. Let v(m) = -3*m**2 + 62*m + 1. Determine 3*n(s) + 8*v(s).
-3*s**2 - 62*s + 2
Let b(h) = 5 + 9 + 5*h - 5 - 8. Let p(i) = -4*i - 1. Let u(k) = -3*k + 3. Let w be u(3). Calculate w*p(q) - 5*b(q).
-q + 1
Let l(c) = -15*c**3 + 82*c. Let y(u) = 7*u**3 - 41*u. What is 6*l(x) + 13*y(x)?
x**3 - 41*x
Let d(k) = k. Let u(b) = 6*b + 2. What is 12*d(l) + u(l)?
18*l + 2
Let y(f) = -30*f. Let o(b) = 30*b. What is 6*o(v) + 5*y(v)?
30*v
Suppose -17 = 3*b - 50. Let z(h) = -10*h**2 - 5*h - 11. Let j(g) = 5*g**2 + 2 - 2*g**2 + 4*g**2 - g**2 + g - 4*g**2. Calculate b*j(i) + 2*z(i).
2*i**2 + i
Let c(w) = -12*w**3 + 15*w**2 + 15. Let a(p) = p**3 - p**2 - 1. Let i(g) = -g**2 + 4*g. Let h be i(3). Suppose -h*f = -17 + 14. Give f*c(o) + 15*a(o).
3*o**3
Let g(l) = -2*l**3 - 3*l**2 - 18*l + 3. Let q(x) = -4*x**3 - 5*x**2 - 37*x + 5. Calculate -10*g(p) + 6*q(p).
-4*p**3 - 42*p
Suppose 5*m + 93 = 108. Let f(y) = 6*y**2 + 1702 + 7*y**m + 6*y - 1702. Let q(n) = n**3 + n**2 + n. What is f(i) - 6*q(i)?
i**3
Let j be ((-45)/18)/((-1)/(-4)). Let d = 14 + j. Let s(t) = 8*t**3 - 11*t - 11. Let i(c) = -3*c**3 + 4*c + 4. Give d*s(z) + 11*i(z).
-z**3
Let m(h) be the third derivative of h**4/24 - 295*h**2. Let p(s) = 6*s - 2. Give 3*m(q) - p(q).
-3*q + 2
Let x(o) = -14*o + 7. Let i(k) = k + 2. Give -2*i(v) + x(v).
-16*v + 3
Let q(y) = 4. Let v(r) = 123*r - 22. Calculate -6*q(c) - v(c).
-123*c - 2
Let w(r) = 9*r**2 + 4*r + 8. Let h(g) = 11*g**2 + 5*g + 8. What is -3*h(m) + 4*w(m)?
3*m**2 + m + 8
Let t(g) = 1. Let h(i) = 1. Let a = 28 - 29. Let z(m) = m**2 - 5*m + 2. Let j be z(4). Let k(s) = a*h(s) + j*t(s). Let v(l) = l - 8. What is 8*k(o) - 3*v(o)?
-3*o
Let u(p) = -p**2 + 5*p + 5. Let v be u(6). Let b(h) be the first derivative of -6 - h - 1/2*h**2. Let l(o) = 2*o**2 - 2*o - 3. What is v*l(x) + 3*b(x)?
-2*x**2 - x
Let g(b) = 4. Let t(p) = -p + 8. Let v(q) = 2*g(q) - t(q). Let i(x) = -7*x - 28. Let s(u) = 1. Let d(o) = -i(o) - 28*s(o). What is -d(r) + 6*v(r)?
-r
Let i(s) = s**2. Suppose -4*x = 0, -3*x = -4*d - 4*x - 4. Let c(a) = -5*a**2. Determine d*c(l) - 3*i(l).
2*l**2
Let q(z) = 3*z**3 + 2*z**2 + 7*z. Suppose -45 = 20*g + 75. Let k(t) = -4*t**3 - 2*t**2 - 8*t. Give g*q(r) - 5*k(r).
2*r**3 - 2*r**2 - 2*r
Let i(v) = 8*v**3 - 7*v**2 - 2*v + 86. Let g(x) = x**3 - x**2 - 1. What is -6*g(m) + i(m)?
2*m**3 - m**2 - 2*m + 92
Let j(w) = 5*w**2 + 3*w - 3. Let o(p) = -5*p**2 - 2*p + 2. Suppose -15*t + 7 = -23. Determine t*j(m) + 3*o(m).
-5*m**2
Let b(k) = 23*k*