45*j**3 + 54*j**2 + 54*j - 54. Let o(x) be the second derivative of -x**5/20 - x**4/12 - x**3/6 + x**2/2 + 52*x. Determine c(l) + 54*o(l).
-9*l**3
Let p(b) = -11*b**3 + 2*b**2 + 11*b - 6. Let c(u) = 5*u**3 - u**2 - 5*u + 3. What is -7*c(n) - 3*p(n)?
-2*n**3 + n**2 + 2*n - 3
Let l(t) = t + 2. Let v(a) = -55*a - 22. Give -11*l(h) - v(h).
44*h
Let f(m) = m - 1. Let i(q) = -13*q**2 - 5*q + 19. Calculate 5*f(a) + i(a).
-13*a**2 + 14
Let c(b) = 2*b**2 - 2*b. Suppose 10*z + 36 = 4*z. Let u(f) = 3*f**2 - 2*f. Give z*c(p) + 5*u(p).
3*p**2 + 2*p
Let c(h) = 9*h + 6. Let l(m) be the first derivative of 3*m**2 + 4*m - 115. Calculate 5*c(w) - 8*l(w).
-3*w - 2
Let z(s) = 27*s**2 - s - 8. Let y(v) = -v**2 + 3. Calculate 3*y(w) + z(w).
24*w**2 - w + 1
Let b(d) = 4*d**3 + 21*d**2 - 2*d. Let l(p) = -15*p**3 - 62*p**2 + 7*p. Calculate 7*b(t) + 2*l(t).
-2*t**3 + 23*t**2
Let f(t) = -3*t. Let a be (-43)/(-9) - (6 + 112/(-18)). Let d be 0 + -2 - (0 + -5). Let v(b) = 2*b. Calculate a*v(h) + d*f(h).
h
Let z(k) = -363*k**3 + 6*k. Let l(r) = 2*r**3 + 2*r. What is -2*l(s) + z(s)?
-367*s**3 + 2*s
Let z(x) = -11*x - 15. Let d(i) = 55*i + 71. Determine 2*d(q) + 11*z(q).
-11*q - 23
Suppose 31*z - 19 = 50*z. Let f(t) = t. Let c(w) = -5*w - 3. Give z*c(j) - 4*f(j).
j + 3
Let i(t) = -3*t**2 + 6*t + 5. Let h be (3/3)/(1/13). Let f(x) = h + 7*x + 18 - 33. Let o be f(1). Let k(g) = -4*g**2 + 7*g + 6. Determine o*i(b) - 4*k(b).
b**2 + 2*b + 1
Let u(o) = o**2 + 9*o. Let v(r) = 997*r**2 - 44*r + 2. Determine -5*u(y) - v(y).
-1002*y**2 - y - 2
Let w(h) = -h + 5. Let z(l) be the third derivative of l**4/24 - 5*l**3/3 + 11*l**2 + 17. Calculate -5*w(b) - 3*z(b).
2*b + 5
Let o = 105 - 104. Let t(i) = -i**3 - i**2 + 1. Let j(n) = 6*n**3 + 5*n**2 + 2*n - 3. Determine o*j(x) + 3*t(x).
3*x**3 + 2*x**2 + 2*x
Let j(i) = -17*i**2 - 4*i - 2. Let v(y) = 3*y**2 + y + 2. Let d(h) = -j(h) - 5*v(h). Let t(w) = 10*w**2 - 5*w - 40. Give 11*d(k) - 2*t(k).
2*k**2 - k - 8
Let q(i) = -7*i**2 + 3*i - 1. Suppose j = -4*j - 25. Let s(u) = 4*u**2 - 2*u. Give j*s(o) - 3*q(o).
o**2 + o + 3
Let c(o) = -o**2 - 8*o - 10. Let x(p) = p**2 + 15*p + 19. Let s(f) = -5*c(f) - 3*x(f). Let w(j) = j**2 - 4*j - 6. What is 4*s(k) - 5*w(k)?
3*k**2 + 2
Let d(n) = -2*n**3 - n**2 - 2*n + 4. Let g(x) = -4*x + 74. Let k be g(17). Let b(y) = 10 - k - 11*y**3 + 13 + 3*y**3 - 3*y**2 - 9*y. What is 2*b(m) - 9*d(m)?
2*m**3 + 3*m**2 - 2
Let p(r) = 6*r**2 + 173*r. Let z(b) = -2*b**2. Determine p(u) + 4*z(u).
-2*u**2 + 173*u
Let m(i) = 9*i**3 + 4*i. Let x(o) be the third derivative of 0*o - 25/24*o**6 + 0*o**3 - 55/24*o**4 - 36*o**2 + 0*o**5 + 0. Determine 55*m(c) + 4*x(c).
-5*c**3
Let d(w) = w**2. Let j(c) = 4*c**2 - c - 1. Let o = 664 - 669. Calculate o*d(g) + j(g).
-g**2 - g - 1
Let b(f) = 7*f**2 + 2*f + 2. Let y(c) = 62*c**2 + 34*c + 27. Let l(a) = 22*a**2 + 11*a + 9. Let x(m) = 21*l(m) - 6*y(m). Determine 27*b(d) - 2*x(d).
9*d**2
Let n(s) = 7*s + 2. Let i(k) = 5 + 2 - 3 + 18*k + 0. Let q(f) = 17*f + 4. Let l(c) = 4*i(c) - 5*q(c). Give 6*l(t) + 11*n(t).
-t - 2
Let p(c) be the third derivative of c**4/24 + c**3/3 + c**2. Let t(w) be the first derivative of w**2/2 + 2*w + 650. Determine 5*p(o) - 6*t(o).
-o - 2
Let o(y) = -y**2 + 1. Suppose -5*f = 5*z - 5, 17 = -f + 4*z + 8. Let d(r) = -r**3 - 5*r**2 + r + 6. Give f*d(v) + 5*o(v).
v**3 - v - 1
Let m(u) = -4*u**3 + 2*u**2 + 1. Suppose 0 = 5*p, -13*q + 10*q + 5*p = 6. Let x(h) = -5*h**3 + 3*h**2 + h + 2. Determine q*x(k) + 3*m(k).
-2*k**3 - 2*k - 1
Let f(x) = 207*x - 46. Let s(o) = -104*o + 28. Give -3*f(i) - 5*s(i).
-101*i - 2
Let h(a) = 3*a**2 + 6*a + 11. Let q(d) = -15*d**2 - 32*d - 55. Calculate -11*h(c) - 2*q(c).
-3*c**2 - 2*c - 11
Let a(x) = -18*x**3 + 9*x**2 - 9*x + 15. Let z(h) = -h**3 + h**2 - h + 2. Calculate -2*a(i) + 18*z(i).
18*i**3 + 6
Let d(g) = g + 7. Let v(c) = -3*c - 20. Let h(j) = -17*d(j) - 6*v(j). Let q(f) be the first derivative of -4*f + 1. What is 4*h(r) + q(r)?
4*r
Let g(v) = -4*v + 3. Suppose 0 = -5*a - 8 - 2. Let l(b) = -10 + 34*b - 10*b - 11*b. Give a*l(c) - 7*g(c).
2*c - 1
Let i(v) = v**2 - v + 1. Suppose -4*l = -5*k + 14, -4*k = -l - 3*k - 3. Let q(b) be the first derivative of -8 + 2*b + 1/3*b**3 - b**2. Give l*q(g) + 2*i(g).
g**2
Let z(k) = 6*k**2 - 5*k**3 - 14*k + 4 - 4 - 4*k + 26*k + 8. Let u(x) = 3*x**3 - 4*x**2 - 5*x - 5. Calculate 8*u(m) + 5*z(m).
-m**3 - 2*m**2
Let t(f) = -f**2 - 2*f + 4. Suppose -o - 32 = -3*o. Let r be (-4)/(-1) + (o - 17). Let g(n) = 2*n**2 + 2*n - 5. Determine r*t(q) + 2*g(q).
q**2 - 2*q + 2
Let p(o) = o - 1. Suppose 2*a - 3*a = 2*j + 15, -2*j = -2*a. Let w(h) = 2*h**2 + 5*h - 8. Suppose 9*v + v = 10. What is j*p(d) + v*w(d)?
2*d**2 - 3
Let l(q) = 27*q - 83. Let d be l(3). Let h(c) = c - 1. Let x(v) = v**2 + 3*v - 4. Give d*x(z) + 7*h(z).
-2*z**2 + z + 1
Let n(g) = g. Let v(c) = -28*c + 224. Let o be v(8). Let k(p) be the second derivative of o + 7*p + 1/2*p**2 - 1/3*p**3. Determine -k(a) - n(a).
a - 1
Let j(s) = 5*s**3 - 7*s. Let v(z) = -4*z**3 - 5*z**2 - 6*z + 5. Let g(k) = 5*k**3 + 6*k**2 + 7*k - 6. Let u(q) = -5*g(q) - 6*v(q). What is j(a) + 6*u(a)?
-a**3 - a
Let d = -259 - -270. Let s(n) = 4*n**3. Let c(j) = 19*j**3. What is d*s(x) - 2*c(x)?
6*x**3
Let u(n) = -171*n - 4. Let f(z) = -171*z - 3. Determine -5*f(b) + 4*u(b).
171*b - 1
Let h(b) = 2*b. Let n(p) = 40*p + 1. Determine 3*h(t) - n(t).
-34*t - 1
Let x(z) = z**2 - 4*z + 9. Let l be x(0). Let i(o) = -15*o**3. Let j(t) = -8*t**3. Give l*j(a) - 4*i(a).
-12*a**3
Let j(b) = 3*b - 3. Let t(k) = -6*k + 5. Suppose 12*x - 8*x = 0. Let a be 3/1*(x/(-5) + -1). Give a*t(z) - 5*j(z).
3*z
Let a(q) = -7*q**3 + 5*q**2 - 5*q + 4. Let j(t) = 3*t**3 - 3*t**2 + 3*t - 2. Suppose 2*n + 5 = -z, -8*n + 5*n - 15 = 0. Calculate z*j(d) + 3*a(d).
-6*d**3 + 2
Let o(j) = -104*j**3 + 2*j**2 + 6*j + 2. Let c(t) = -105*t**3 + 3*t**2 + 9*t + 2. Give -2*c(k) + 3*o(k).
-102*k**3 + 2
Let r be (-4)/(2/3*(-4 - -1)). Let c(b) = -3*b + 1. Let o(d) = -3*d + 1. Determine r*o(x) - 3*c(x).
3*x - 1
Let y(d) be the second derivative of 7*d**4/12 - d**3/6 - d**2 - 18*d - 3. Let j(r) = 13*r**2 - 2*r - 4. What is -6*j(l) + 11*y(l)?
-l**2 + l + 2
Let z = -980 + 974. Let b(t) = 1 + 0*t**2 + 0*t**2 + t**2. Let r = -3 - -6. Let v(w) = 3*w**2 + 2. Give r*v(q) + z*b(q).
3*q**2
Suppose 57 = 43*s - 62*s. Let d(m) = -8*m**3 - 3*m**2 - 3*m. Let c(g) = 9*g**3 + 2*g**2 + 2*g. Give s*c(p) - 2*d(p).
-11*p**3
Let x(z) = -z**2 + z + 3. Let i(a) = 7*a**2 + 12*a - 20. Calculate -i(d) - 6*x(d).
-d**2 - 18*d + 2
Let w(n) = -2*n**3 + 5*n**2 - 60*n. Let l(d) = 6*d**3 - 14*d**2 + 182*d. Calculate 3*l(v) + 8*w(v).
2*v**3 - 2*v**2 + 66*v
Let h(v) = -3*v**2 - 7*v - 4. Let m = 93 - 80. Let c(q) = -2 - 5 + 4*q**2 + 7*q + 3*q + m. Give -5*c(u) - 7*h(u).
u**2 - u - 2
Let p(j) = -j**2 + 110*j + 3. Let h(q) = -q**2 + 111*q + 4. Determine 2*h(m) - 3*p(m).
m**2 - 108*m - 1
Let s(f) = f**3 + 10*f**2 - 2*f + 355. Let b(w) = -3*w**3 - 35*w**2 + 7*w - 1066. Calculate 2*b(m) + 7*s(m).
m**3 + 353
Let f(q) = q**3 - 15 + 13 + 3*q - q + 2*q**2. Let a(u) = 3*u**2 + 3*u - 2. What is -2*a(o) + 3*f(o)?
3*o**3 - 2
Let r(i) be the second derivative of -i**5/10 + 7*i**4/12 - 4*i**3/3 + 35*i. Let z(o) = 3*o**3 - 8*o**2 + 9*o. Calculate -6*r(p) - 5*z(p).
-3*p**3 - 2*p**2 + 3*p
Suppose 3*c = -10 + 34. Let a be (34/c)/(1/4). Suppose 0 = 3*x - 12, -241*j = -240*j - x + 10. Let o(i) = 26*i. Let k(z) = 9*z. Give a*k(v) + j*o(v).
-3*v
Let p = 5 - 10. Let t = 172 + -171. Let i(w) = 1. Let f(k) = 2*k + 8. Calculate p*i(n) + t*f(n).
2*n + 3
Let c(g) = -3*g + 9*g**2 + 14 + 2*g**2 - 2 - 14. Let k(t) = 43*t**2 - 13*t - 9. Calculate -9*c(u) + 2*k(u).
-13*u**2 + u
Let n(t) = 154*t**3 + 12*t**2 + 4*t. Let r(s) = 155*s**3 + 14*s**2 + 5*s. Give 7*n(c) - 6*r(c).
148*c**3 - 2*c
Suppose -55*p - 380 = -17*p. Suppose 0 = -4*k - 13 + 1. Let o(b) = 5*b - 5. Let t(w) be the second derivative of -8*w**3/3 + 8*w**2 + w. Give k*t(y) + p*o(y).
-2*y + 2
Let i(b) = -2. Let r(l) = -l**2 - 1. Let p = 369 + -367. What is p*i(v) - 4*r(v)?
4*v**2
Let o(n) = 4 - 11 - n + 5 + 6. Let h(c) be the first derivative of -3*c**2/2 + 11*c + 1. Calculate 4*h(s) - 11*o(s).
-s
Let m(c) = -c**2 + 6*c - 2. Let d = 456 + -452. Let w(k) = 2*k**2 - 11*k + 4. Calculate d*w(j) + 7*m(j).
j**2 - 2*j + 2
Let w(b) = 2*b + 13. Le