 o(r) = i(r) + 2*k(r). Determine 2*o(b) + z(b).
2*b - 1
Let s(b) = 8*b**2 - 13*b + 9. Let f(w) be the third derivative of 0*w - 1/3*w**3 + 1/8*w**4 + 0 + 11*w**2 - 1/30*w**5. Determine -9*f(c) - 2*s(c).
2*c**2 - c
Suppose 8*i = 3*i - 5*n - 25, -2*i + n - 25 = 0. Let g(r) be the first derivative of -r**2/2 + 2. Let y(u) = 4*u. What is i*g(x) - 2*y(x)?
2*x
Let z(g) = 2*g**3 + 7*g + 0*g**3 + g**2 + 6*g**2. Let o(w) = w**3 + 3*w**2 + 3*w. Let n = -44 - -49. Suppose -12*l = -n*l + 49. Give l*o(i) + 3*z(i).
-i**3
Let i(s) = -s**2 - s + 1. Let t(a) = 8*a**2 + 8*a - 4. Let w = 65 + -48. Suppose 0 = 7*z - w*z - 10. Calculate z*t(d) - 6*i(d).
-2*d**2 - 2*d - 2
Let p(m) = m**2 + 6*m + 6. Let j(i) = -5*i - 5. Suppose 10 = 3*h + 5*s + 20, -5*h = -5*s + 30. What is h*p(l) - 6*j(l)?
-5*l**2
Let g = -6 + 4. Let v(b) be the second derivative of b**4/6 + b**3/6 - 2121*b. Let a(q) = -1. Determine g*a(w) + v(w).
2*w**2 + w + 2
Let a(i) = i**2 - 47. Let w be a(-8). Let l(b) = 7*b**3 + b**2 + 6*b + 6. Let s(p) = -20*p**3 - 3*p**2 - 17*p - 17. Give w*l(u) + 6*s(u).
-u**3 - u**2
Let s(i) = -3*i**3 + i**2 - 2*i - 1. Let r(d) = -3*d**3 + d**2 - d - 1. Give -7*r(j) + 6*s(j).
3*j**3 - j**2 - 5*j + 1
Let q(t) be the third derivative of t**4/3 - 2*t**3/3 + 97*t**2 - 1. Let f(k) = 7*k - 3. Determine 5*f(i) - 4*q(i).
3*i + 1
Suppose 2*a - 14 = -3*t, -t - t - 4*a = -20. Let q(c) be the first derivative of 2*c + 23 - 16 + 2*c**2 - 3*c**t. Let r(d) = -3*d + 3. What is 4*q(p) - 3*r(p)?
p - 1
Let d(f) = 55*f**2 - 12*f - 8. Let z(c) = -53*c**2 + 10*c + 7. Give -6*d(k) - 7*z(k).
41*k**2 + 2*k - 1
Let k(w) = -7*w**2 + 6*w + 4. Let s(i) = -i**2 + i + 1. Let x = 258 + -10. Let m be x/217 + 1/(-7). Calculate m*k(l) - 6*s(l).
-l**2 - 2
Let o(s) = 162*s**3 + 4*s**2 + 3*s + 2. Let f(d) = -486*d**3 - 11*d**2 - 8*d - 6. What is 4*f(u) + 11*o(u)?
-162*u**3 + u - 2
Let r(i) = -12*i**2 - 6*i. Suppose 57*y = -223 - 119. Let f(k) = -k**2 + k. Determine y*f(s) - r(s).
18*s**2
Let a(r) = -2*r + 1. Suppose 1284*j - 1274*j = 60. Let s(o) = 3*o - 1. Give j*s(u) + 5*a(u).
8*u - 1
Let t(p) be the second derivative of 1/3*p**3 + 2*p**2 + 0 - 1/3*p**4 - 24*p. Let i(h) = 5*h**2 - 3*h - 5. Determine -3*i(s) - 4*t(s).
s**2 + s - 1
Suppose -1 = 2*a + 11. Let f(r) = 54 - 33 - 22. Let v(i) = 0*i**2 - 4 - 2 - 2*i**2. Calculate a*f(q) + v(q).
-2*q**2
Let z(v) be the second derivative of -3*v**4/4 - 5*v**3/6 + 2*v. Suppose 3*y + 1 = -q, -5*q = 3*y - 15 - 4. Let l(n) = 13*n**2 + 7*n. Give q*l(k) + 7*z(k).
2*k**2
Let t(z) = -4*z**2 + 21*z - 8. Let q be t(5). Let a(w) = -3*w**2 - 3 + 2*w + 1 + 2*w**3 - 3. Let s(i) = 5*i**3 - 8*i**2 + 6*i - 14. Determine q*s(b) + 8*a(b).
b**3 - 2*b + 2
Let n(a) = -4 + 2*a + 2 + a**2 + 2*a**2. Let t(y) = 2*y**2 + 86*y + 441. Let h be t(-37). Let r(m) = m**3 - 4*m**2 - 3*m + 3. Give h*n(s) - 2*r(s).
-2*s**3 - s**2
Let v(k) = k + 5. Let q(l) = 5*l + 19. Let j(g) = 2*q(g) - 9*v(g). Let u(x) = 3*x - 96. Let t be u(30). Let h(m) = -2. Give t*h(c) + 2*j(c).
2*c - 2
Suppose 155*u - 161*u - 24 = 0. Let q(s) = -s**2 + 5*s - 7. Let k be q(5). Let i = -8 - k. Let l(x) = x. Let j(h) = -2*h - 3. What is i*j(o) + u*l(o)?
-2*o + 3
Let j(b) = 6*b**3 + b**2 - b - 1. Let z(v) = v**3 - v - 1. Suppose 6*m - 8*m = -5*g + 3, -2*m + g + 1 = 0. Determine m*z(k) - j(k).
-5*k**3 - k**2
Let m(z) = -21*z**2 + 8*z - 8. Let x(c) = 14*c**2 - 11*c + 16. Let i(g) = 21*g**2 - 17*g + 25. Let y(l) = 5*i(l) - 8*x(l). What is -3*m(b) + 8*y(b)?
7*b**2
Let d(b) = 109*b**2 - 6*b - 12. Let x(k) = 1525*k**2 - 85*k - 170. Determine 85*d(f) - 6*x(f).
115*f**2
Let u(w) = -w**3 - 4*w**2 + 2*w + 5. Let q(n) = -2*n**3 - 9*n**2 + 5*n + 11. Let f = -85 - -94. Give f*u(i) - 4*q(i).
-i**3 - 2*i + 1
Let c(m) = 4*m - 3. Let k(j) = -23*j + 16. Determine 11*c(x) + 2*k(x).
-2*x - 1
Let y(a) = -2*a. Let s be -5 - (1 - (-1 + 1)). Let q(r) = 206*r. Let f(b) = -65*b. Let o(m) = -19*f(m) - 6*q(m). What is s*o(n) + y(n)?
4*n
Let i(v) be the third derivative of v**6/120 - v**5/30 + 12*v**2 + 2*v. Let p(s) = 2*s**3 - 5*s**2. What is 5*i(r) - 2*p(r)?
r**3
Suppose h = 5*h + o - 68, 85 = 5*h + 2*o. Let j(m) = 41*m - h*m - 23*m + 1. Let c(l) = -2*l + 1. What is -c(i) + 2*j(i)?
4*i + 1
Let w(i) = 3*i**3 - i. Let j(u) = -15*u**3 - 6*u - 4. Let d(f) = -2*f - 1. Let c(l) = -5*d(l) + j(l). Calculate -2*c(o) - 11*w(o).
-3*o**3 + 3*o - 2
Let v(x) = -3*x + 8*x + 5*x - 7*x. Let k(j) = -7*j - 1. Calculate 2*k(t) + 5*v(t).
t - 2
Let l(d) = -3*d + 2. Let y(u) = 7*u + 28 - 58 + 25. Give 9*l(c) + 4*y(c).
c - 2
Let s(a) = -118473*a. Let w(b) = 1559*b. Determine -2*s(i) - 153*w(i).
-1581*i
Let x = -5 - -8. Let k(b) = -2*b + x*b - 2*b - 5. Let q = 22 - 26. Let h(v) = -v - 4. Calculate q*k(z) + 5*h(z).
-z
Let u(c) = 29*c**3 + 9*c**2 - 13*c - 11. Let j(o) = 14*o**3 + 4*o**2 - 6*o - 5. What is 13*j(v) - 6*u(v)?
8*v**3 - 2*v**2 + 1
Let d(p) = 4*p - 2. Let l(u) = -1. Let f(g) = -3*g + 7. Let a(s) = f(s) + 6*l(s). Give 3*a(v) + 2*d(v).
-v - 1
Suppose -3*w + 2 = -37. Let m(c) = c + 8 - 1 + w*c**2 + 6. Let t(x) = 3*x**2 + 3. Suppose -27 = -2*u - u. Determine u*t(r) - 2*m(r).
r**2 - 2*r + 1
Let b(l) = l**3 + 2*l**2 - 9*l + 6. Let i be b(2). Let p(m) = m**3 + 2*m + 4. Let x(d) = -d**3 - 2*d - 3. Give i*p(o) + 5*x(o).
-o**3 - 2*o + 1
Let v(y) = 152*y. Let g(a) = -16*a. Let k(h) = -h**2 + 13*h - 25. Let c be k(10). Determine c*v(u) + 48*g(u).
-8*u
Let r(w) = 2*w + 3. Suppose 0 = -47*i + 49*i + 6. Let q(d) = 7. Let h(l) = 12. Let y(k) = 4*h(k) - 7*q(k). What is i*y(c) - r(c)?
-2*c
Let k(c) be the third derivative of c**5/30 - c**4/6 - c**3/3 - 7*c**2 - 2*c. Let n(m) = m**3 - 7*m**2 + 13*m + 7. Determine -7*k(r) - 2*n(r).
-2*r**3 + 2*r
Let v(i) = -57*i**2 - 33*i - 834. Let a(g) = -7*g**2 - 4*g - 104. Calculate 33*a(b) - 4*v(b).
-3*b**2 - 96
Let v(h) = -11*h**3 - 17*h**2 - 17*h - 17. Let z = -11 - -14. Suppose 14 + 4 = -z*i. Let s(u) = 2*u**3 + 3*u**2 + 3*u + 3. Give i*v(b) - 34*s(b).
-2*b**3
Let l(w) = -8*w**3 + 4*w**2 + 4. Let h(n) = -17*n**3 + 9*n**2 + 9. Suppose 4*q + 8 = -d, -6*q + 2*q = -3*d - 8. Determine d*h(z) + 9*l(z).
-4*z**3
Let l(c) = -72*c + 41. Let y(v) = -24*v + 15. Calculate 3*l(n) - 8*y(n).
-24*n + 3
Let k = 34 + -37. Suppose 2*o + 18 = 2. Let i(s) = 5*s - 8. Let g(y) be the second derivative of -y**3/3 + 3*y**2/2 + y - 4. Give k*i(c) + o*g(c).
c
Let x(v) = v. Let h(p) = -18*p + 5. Give -h(g) - 6*x(g).
12*g - 5
Let y(o) = 1806*o**2 - 11*o + 88. Let q(m) = 361*m**2 - 2*m + 16. Give 11*q(k) - 2*y(k).
359*k**2
Let y(x) = -154*x + 77*x + 78*x. Let b = 1 - 2. Let s(n) be the first derivative of 5*n**2/2 + n - 1. Calculate b*s(k) + 6*y(k).
k - 1
Let v(a) = -3*a + 17. Let k(s) = 2*s - 8. Give -7*k(c) - 3*v(c).
-5*c + 5
Let a be 4/10 - 160/(-100). Let k(m) = -m**2 + 3*m - 2. Let v(q) = 0*q**2 - q**2 - q + 2*q. Calculate a*v(b) - k(b).
-b**2 - b + 2
Let x(h) = -8*h**3 + 6*h**2 + 51*h + 8. Let k(n) = 18*n**3 - 13*n**2 - 102*n - 17. Calculate -6*k(v) - 13*x(v).
-4*v**3 - 51*v - 2
Let z(h) = -h**2 - 2*h - 6. Let l(r) be the first derivative of 2*r**3/3 + 3*r**2/2 + 11*r + 197. What is 3*l(v) + 5*z(v)?
v**2 - v + 3
Suppose -10*c = -5*c - 5. Let p(l) = 4*l - 7. Let z = -2 + 3. Let r(f) = -f + f + f - z. Calculate c*p(g) - 6*r(g).
-2*g - 1
Let f(c) = c - 6. Let w be f(4). Let l(s) = -6*s. Let v(b) = -b. Let p(g) = 3*g - 5. Let r be p(6). Suppose -4*i + r + 31 = 0. Give i*v(u) + w*l(u).
u
Let x(a) = -a**3 - 2*a - 9. Let v(s) = -s + 1. Calculate v(i) - x(i).
i**3 + i + 10
Let y(h) = -3*h**3 - 9*h**2 + 9*h. Let u(a) = -a**3 - 2*a**2 + 2*a. Suppose -5*l + 3*l = -18. Suppose -2 - 24 = 13*g. Calculate g*y(z) + l*u(z).
-3*z**3
Let a(i) be the second derivative of -i**4/12 + i**3/3 - i**2 + 66*i. Let l = 12 + -11. Let h(d) = 1. Determine l*a(n) + 2*h(n).
-n**2 + 2*n
Let k(m) = -4*m + 8. Let b(i) = 13*i - 23. Let p(w) = 3*b(w) + 8*k(w). Let c(g) = -6*g + 4. What is 5*c(f) + 4*p(f)?
-2*f
Let i(n) = 547*n**2 + 10*n - 5. Let l(p) = 59349*p**2 + 1084*p - 542. Give 542*i(s) - 5*l(s).
-271*s**2
Let n(b) = -337*b**3 + b**2 - 2*b - 2. Let d(m) = 335*m**3 - 2*m**2 + 3*m + 3. Calculate -2*d(l) - 3*n(l).
341*l**3 + l**2
Let p(j) = -j**2 - 12*j + 5*j + 7*j. Let w(c) = -2*c**3 - 7*c**2 - 2. What is 2*p(o) - w(o)?
2*o**3 + 5*o**2 + 2
Let n(h) = -h + 22. Let b(g) = -g + 23. Calculate 4*b(c) - 5*n(c).