t q(k) = 3*k**3 - 5*k - 5. Let v(l) = 3*l**3 - 6*l - 6. What is o*q(x) + 5*v(x)?
-3*x**3
Let r(s) = -8*s + 7. Suppose -4*c + 33 = -3*z, 0 = -2*c + z + 4*z + 27. Let y(g) = g + g + 19*g - 13 - c*g. Calculate -11*r(p) - 6*y(p).
-2*p + 1
Suppose 0 = -73*f + 70*f + 36. Let k(c) = -17*c**3 + 5*c**2 - 5*c - 5. Let s(p) = -42*p**3 + 12*p**2 - 12*p - 12. Give f*k(j) - 5*s(j).
6*j**3
Let p(r) = 4*r - 21. Let a(i) = 9*i - 49. Let v(b) = -3*a(b) + 7*p(b). Let f(n) = -14*n + 1. What is -f(w) - 3*v(w)?
11*w - 1
Let k(z) = 29*z**3 - 4*z**2 - 7*z + 1. Let r(w) = 58*w**3 - 7*w**2 - 12*w + 2. Determine -7*k(g) + 4*r(g).
29*g**3 + g + 1
Let a(z) = 777*z**3 + 10*z**2 - 5*z - 5. Let j(i) = -1166*i**3 - 16*i**2 + 8*i + 8. Determine 8*a(r) + 5*j(r).
386*r**3
Let d(p) = -12*p**2 + 20*p + 20. Let y(g) = -g - 1. Determine d(b) + 20*y(b).
-12*b**2
Let a(n) = -283*n**3 + 14*n**2 - 3. Let s(v) = -189*v**3 + 10*v**2 - 2. Give 5*a(g) - 7*s(g).
-92*g**3 - 1
Let h(q) = -6*q**2 + 21*q + 3. Let a(y) = 2*y**2 - 7*y - 1. What is 11*a(j) + 4*h(j)?
-2*j**2 + 7*j + 1
Let q(v) be the first derivative of 14*v**3/3 - 13*v**2/2 - 13*v + 72. Let c(d) = -d**2 + d + 1. Determine 78*c(o) + 6*q(o).
6*o**2
Let q(z) = 2*z. Let f(a) = -37*a. Let m(t) = 101*t. Let r(w) = 11*f(w) + 4*m(w). Suppose 9 + 3 = 3*g. Calculate g*r(p) + 7*q(p).
2*p
Let z(v) = 10*v + 10. Let a(w) = -3*w - 3. Let f(d) = -405 - d + 6*d - 3*d - d + 406. Let i = 1 + 10. Let q(c) = i*f(c) + 4*a(c). Determine 8*q(r) + z(r).
2*r + 2
Let c(u) = u + 2. Let i = -1335 - -1331. Let g(n) = n + 2. Give i*g(k) + 3*c(k).
-k - 2
Let f(g) = 37*g + 34. Let m(y) = 18*y + 15. What is 4*f(w) - 9*m(w)?
-14*w + 1
Let s(v) = -6*v - 13. Let h(d) = d - 2. Determine 5*h(p) - s(p).
11*p + 3
Suppose 19*z = 23*z + 48. Let c = -8 - z. Let r(h) = 8*h. Let d(n) = 9*n. Give c*r(i) - 3*d(i).
5*i
Suppose 0 = 2*y - 45*r + 44*r + 15, y = -2*r. Let u(t) = t**2 - t. Let n(x) = 7*x**2 - 8*x - 1. What is y*u(o) + n(o)?
o**2 - 2*o - 1
Let n(o) = -20*o**2 - 21*o + 3. Let f(r) = 3*r**2 - 1. What is -6*f(z) - n(z)?
2*z**2 + 21*z + 3
Let d(m) = -12 + 21 - 8. Suppose 5*p = 17 + 8. Let q = 3 - p. Let l(v) = v + 2. Give q*l(o) + 3*d(o).
-2*o - 1
Let d be (4 - (-2 - -10))*-1. Let s(r) = 5*r - d*r + 2*r + 2. Let z(m) = 1 - 2*m + 3*m + m. What is -3*s(u) + 5*z(u)?
u - 1
Let m(d) = 6*d**2 - 3*d + 2. Let y(k) = -825*k - 4 + 4*k**2 + 826*k + 3 - 5*k**2. Determine -m(r) - 4*y(r).
-2*r**2 - r + 2
Let j(q) be the first derivative of -4*q**3/3 + 2*q**2 + 2*q + 13. Let b(v) = -v - 1. Determine -4*b(u) - j(u).
4*u**2 + 2
Let q(m) = 3*m + 2*m**3 + 6*m**3 + 12*m**3 - m**3 + m**3. Let j(x) = 799*x**3 + 119*x. Give -3*j(g) + 119*q(g).
-17*g**3
Let j(w) = 18*w - 18. Let q(o) = -o + 2. Calculate j(z) + 12*q(z).
6*z + 6
Let a(q) = -q + 1. Let j = 36 - 21. Let z = -18 + j. Let o = -1 - 2. Let n(b) = -1. Calculate o*n(v) + z*a(v).
3*v
Suppose -3*j + 41 = 2*w, 2*j + 2*w - 24 = -0*j. Let i(u) = -u**2 + 6*u - 6. Let g(x) = -3*x**2 + 17*x - 17. What is j*i(t) - 6*g(t)?
t**2
Let h = -2205 - -2208. Let v(i) = -i + 13. Let g(x) = -x + 14. Determine h*v(o) - 4*g(o).
o - 17
Let h(j) = 8*j**3 + j**2 + 5. Let w(b) = -4*b**3 - b**2 - 2. Let s be (-3)/18*-4*12/(-4). Calculate s*h(y) - 5*w(y).
4*y**3 + 3*y**2
Let j(s) = 2*s**2 + 8*s - 1. Let c be j(-4). Let z(p) = -7. Let x(w) = -6. Let b(k) = -6*x(k) + 5*z(k). Let g(m) = -m - 4. What is c*g(v) - 3*b(v)?
v + 1
Let u(r) = -2*r + 3. Let l be u(3). Let z(s) = 4*s**2 - 3*s - 7. Let i(x) = 1614*x - x**2 - 1126 - 1613*x + 1127. Determine l*i(f) - z(f).
-f**2 + 4
Let k(p) = -5*p**2 - 6. Let r(n) be the third derivative of n**5/12 + 5*n**3/6 - n**2 - 92*n. Determine 4*k(f) + 5*r(f).
5*f**2 + 1
Let a(b) = 4*b**3 + 15*b**2 + 4*b. Suppose 0 = 5*t + 5, -5*n - 2*t - 32 = -20. Let o(g) = -g**3 - 4*g**2 - g. Determine n*a(x) - 9*o(x).
x**3 + 6*x**2 + x
Let d(o) = -27616*o**3 + 256*o**2 + 128. Let c(m) = 1083*m**3 - 10*m**2 - 5. What is 128*c(u) + 5*d(u)?
544*u**3
Let o(t) = 2*t**2 + 10*t + 3. Let r be o(-5). Let n(c) = c + 1. Let u(w) = 4*w. What is r*n(s) - u(s)?
-s + 3
Let b(d) = d**3 - 5*d**2 - 6*d + 1. Suppose 5*x + 19 = -5*r - 26, 5*x + 2*r = -30. Let i(p) = -p**3 + 4*p**2 + 5*p - 1. Give x*b(h) - 5*i(h).
h**3 - h + 1
Let u(x) = x**2 - 5*x + 8. Let v(r) = -4*r**2 + 16*r - 24. Let a be (10/7)/(3/(-21)). Give a*u(l) - 3*v(l).
2*l**2 + 2*l - 8
Suppose 4*r = r, -r = 2*u - 6. Let i be (-3)/9 - (-1)/u. Let l(a) = 0*a - 7*a**3 + a**2 + 2*a + i*a**2 + 12*a**3. Let g(t) = t**3. Give 6*g(n) - l(n).
n**3 - n**2 - 2*n
Let w(u) = 13*u**2 + u - 165. Let d(i) = 8*i**2 + i - 83. What is -5*d(o) + 3*w(o)?
-o**2 - 2*o - 80
Let i(c) = -2*c**2 - c. Let h(d) = 4*d**2 + 5*d - 10. Determine -h(q) - 5*i(q).
6*q**2 + 10
Let m be (-3 + 4 + 1)*2. Let t(f) = -9*f - 9. Let g(p) = 5*p + 4. Determine m*t(h) + 9*g(h).
9*h
Suppose 4*g - 3*a - 4 = 0, -5*g - 20*a + 5 = -15*a. Let q(d) = -1. Let l(y) = y + 5. Determine g*l(r) + 4*q(r).
r + 1
Suppose -4*i + 12 = 4*r, 0*r = -4*r - i + 18. Suppose 11 = -j - p, 5*p = r*j + 42 + 43. Let s(y) = -y - 7. Let d(m) = -1. Calculate j*d(b) + 2*s(b).
-2*b
Let z(p) = 26*p**2 + 10*p + 71. Let o(g) = 9*g**2 + 3*g + 23. Give -7*o(m) + 2*z(m).
-11*m**2 - m - 19
Let v(a) = -9 - 8 - 9 - 2*a + 25 + 4*a. Let b(w) = 2*w - 1. Suppose -h + 4 = -5*z - 23, 0 = 5*z + 25. Determine h*b(p) - 3*v(p).
-2*p + 1
Let d = 84 - 96. Let s(p) = -4*p + 17. Let o(u) = -10*u + 42. Determine d*s(t) + 5*o(t).
-2*t + 6
Let m(j) = 5*j**2 - 8*j + 8. Suppose 29*b = 16*b - 78. Let h(v) = 4*v**2 - 7*v + 7. What is b*h(s) + 5*m(s)?
s**2 + 2*s - 2
Let h = -318 + 322. Let b(d) = -d**2 - 1. Let t(z) = -13*z**2 - 11. Determine h*t(m) - 44*b(m).
-8*m**2
Let g(t) = t**2 - 5*t + 3. Let m(x) = 2*x**2 + 1. What is g(s) - 4*m(s)?
-7*s**2 - 5*s - 1
Let v = -8 - -14. Let t(f) = -v - 1 + 2 - 3*f. Let a(i) = -i - 2. Calculate 5*a(u) - 2*t(u).
u
Let t(d) be the first derivative of -d**4/24 + d**3/3 + 11*d**2/2 + 18. Let h(u) be the second derivative of t(u). Let b(z) = -z - 1. What is -2*b(v) - h(v)?
3*v
Let k(q) = 13*q**2 - 33. Let s(r) = 12*r**2 - 33. Give 5*k(i) - 6*s(i).
-7*i**2 + 33
Let r(m) = 4*m**3 - 4*m**2 - 10*m - 85. Let n(o) = -5*o**3 + 5*o**2 + 12*o + 87. Give 6*n(i) + 7*r(i).
-2*i**3 + 2*i**2 + 2*i - 73
Let v(x) = -3*x**3 + 4*x**2 - 4. Let w = -125 - -128. Let f(a) = 2*a**3 - 3*a**2 + 3. What is w*v(t) + 4*f(t)?
-t**3
Suppose 5 = -2*k - 5*a, -3*a = a + 12. Let r(g) = -4*g + 6. Let f(n) = 3*n + 16. Let p(q) = 2*q + 14. Let y(h) = -5*f(h) + 6*p(h). What is k*r(c) - 7*y(c)?
c + 2
Let m(w) = 2*w**3 + 2*w**2 - 8*w - 6. Suppose j - 4 = -3*j. Suppose 7*c = 9*c - 10. Let a(l) = -3 - 1 + 0*l + l + c. Calculate j*m(p) + 6*a(p).
2*p**3 + 2*p**2 - 2*p
Let q = 1288 - 1292. Let k(g) = g - 6. Let u(a) be the third derivative of 0*a + 1/6*a**3 + 2*a**2 + 0. Give q*u(w) - k(w).
-w + 2
Let z(l) = -15*l**2 + 4*l - 12. Let x(a) = 13*a**2 - 3*a + 11. Let n(c) = -5*x(c) - 4*z(c). Let m(w) = 11*w**2 + 2*w + 15. Calculate 4*m(f) + 9*n(f).
-f**2 - f - 3
Let w(s) be the second derivative of 1/2*s**2 + 25 + 2*s. Let r(t) = 2*t**3 - 6. Give r(a) + 6*w(a).
2*a**3
Let t be (-3)/(-2)*(-160)/(-60). Let v(m) = m**2 - 6*m + 3. Let h be v(t). Let b(w) = w + 1. Let o(u) = 7*u + 4. Give h*b(n) + o(n).
2*n - 1
Let j(h) = -3*h**3 + 7*h**2 - 3*h - 5. Let m be 1*8 + 0 - (-44 + 47). Let s(c) = 4*c**3 - c**2 + 6 + 4*c - 7*c**2 + 0*c. Determine m*s(d) + 6*j(d).
2*d**3 + 2*d**2 + 2*d
Let w(j) = 43*j**2 - 1. Let y(m) = 44*m**2 - m - 2. Give 3*w(o) - 2*y(o).
41*o**2 + 2*o + 1
Let k(i) be the third derivative of 3*i**4/4 + i**3/6 - 3*i**2 - 28*i. Let q(w) = w. What is -k(m) + 6*q(m)?
-12*m - 1
Let p(s) = -23*s + 2. Suppose 5*g = -5*x + 20, 2*g + 9 = 13. Let d(v) = 1. Determine x*d(n) - p(n).
23*n
Let r(u) = -21*u**2 - 2*u - 13. Let c(g) = 10*g**2 + g + 6. Determine -13*c(p) - 6*r(p).
-4*p**2 - p
Let q(p) = -46*p + 6*p**2 + 1 - 47*p - 43*p + 131*p. Let s(h) = -5*h**2 + 4*h - 1. What is 3*q(t) + 4*s(t)?
-2*t**2 + t - 1
Let b(s) = -5*s + 129. Let h(v) = -v - 9. Calculate -b(t) + 4*h(t).
t - 165
Let z(u) = -u**3 + u**2 + u - 1. Let v(w) = -11*w**2 - 4*w + 18. Let o(s) = -4*s**2 - 2*s + 6. Let h(b) = 7*o(b) - 2*v(b). Determine h(t) + 6*z(t).
-6*t**3
Let i be 32/(-6) + 4/(-6). Let w(b) = -5*b**3 - 8*b + 6. Let a(q) = -9*q**3 - 3*q + 7*q - 12*q + 11 -