 Determine -2*k(c) + 9*t(c).
-3*c
Let m(y) = -409*y - 12. Let u(t) = 362374*t + 10634. Calculate -5317*m(z) - 6*u(z).
409*z
Let c(g) = g**3 - 2*g**2 + 1. Let k(f) = -f**3 - f**2 + 1. What is c(h) - 3*k(h)?
4*h**3 + h**2 - 2
Let p(m) = 19*m**3 + 26*m - 35. Let h(j) = -3*j**3 - 4*j + 6. Determine 39*h(b) + 6*p(b).
-3*b**3 + 24
Let o(z) = 1. Suppose 29*i + 10 = 30*i. Suppose -17*r = -22*r + i. Let c(k) = -k - 1. Determine r*o(j) + 2*c(j).
-2*j
Let i(x) be the second derivative of -x**4/3 + x**3/3 - 7*x**2/2 - 8*x - 4. Let l(t) = -3*t**2 + 2*t - 6. What is 6*i(k) - 7*l(k)?
-3*k**2 - 2*k
Let m(q) = -213*q**2 + 26*q + 6. Let h(v) = 71*v**2 - 8*v - 2. What is -10*h(l) - 3*m(l)?
-71*l**2 + 2*l + 2
Let m(t) = -4*t**3 - 5*t**2 - 3*t + 6. Let p(w) = 3*w**3 + 6*w**2 + 2*w - 5. What is 5*m(z) + 6*p(z)?
-2*z**3 + 11*z**2 - 3*z
Let u(q) = 112*q**3. Let n(f) = -f**3. Calculate 10*n(o) - 5*u(o).
-570*o**3
Let t(x) = 28*x**3 - 4*x**2 - 13*x + 83. Let y(c) = 13*c**3 - 2*c**2 - 6*c + 41. Give 6*t(q) - 13*y(q).
-q**3 + 2*q**2 - 35
Let v(c) = -5*c**2 + 1. Let k(u) = 1440*u**2 - 2874*u**2 + 1443*u**2 - 13 + 11. Let l(m) = -3*m - 1. Let i be l(-2). What is i*v(p) + 3*k(p)?
2*p**2 - 1
Let l(v) = 4*v**2 + v. Suppose 3 = -d + 5. Let f(a) = -4*a + 0*a - 9*a**2 - a + d*a. Suppose 2 = 2*m - 3*m. What is m*f(t) - 5*l(t)?
-2*t**2 + t
Let l(o) = 7*o**2 + 5*o - 3. Let m(n) = 11*n**2 + 8*n - 5. Suppose 46 - 22 = 3*t. Let z(q) = t*l(q) - 5*m(q). Let s(g) = g**2 + 1. Calculate 2*s(c) - z(c).
c**2 + 1
Let b(m) = -142*m + 19. Let t(s) = 144*s - 24. Determine -5*b(i) - 4*t(i).
134*i + 1
Let d(u) = 60*u - 1. Let x(y) = 2*y. Determine d(o) + x(o).
62*o - 1
Let i(y) = -2*y**2 + 67*y + 6. Let d(z) = -3*z**2 + 131*z + 11. Determine 4*d(t) - 7*i(t).
2*t**2 + 55*t + 2
Let d(g) = g + 7. Let s(z) = -2*z - 16. Let p(j) = 3*d(j) + s(j). Let n(t) = -t - 4. What is 5*n(y) + 4*p(y)?
-y
Suppose 5*k = 5*w + 40, -k + 17 = 3*k - w. Let i(y) = 2*y + 1. Let l(f) = 9*f - 1. Let v be l(1). Let c(j) = -j. Give k*i(m) + v*c(m).
-2*m + 3
Let x = -184 + 189. Let h(b) = -5*b + 20. Let v(d) = 3*d - 13. Determine x*h(o) + 8*v(o).
-o - 4
Let v be (8/(-6))/(15/(-45)). Let b(l) = 4*l**3 - 4*l**2 - 4*l + 5. Let t(y) = 4*y**3 - 3*y**2 - 3*y + 5. Determine v*t(q) - 3*b(q).
4*q**3 + 5
Let j(n) = 5*n**3 + 2*n**2 + 5*n + 5. Let y(s) = s**3 + 2*s + 1. Let f(v) = j(v) - y(v). Let x(m) = 21*m**3 + 11*m**2 + 16*m + 20. What is 11*f(i) - 2*x(i)?
2*i**3 + i + 4
Suppose -3*i + 5*y + 33 = 0, 2*y - 5*y + 21 = 5*i. Let f(j) = -7*j - 5. Let c(t) = -6*t - 6. Give i*c(b) - 5*f(b).
-b - 11
Let z(r) = -17*r - 3. Let l(s) = 67*s + 13. Give -2*l(w) - 9*z(w).
19*w + 1
Let j(m) = 2*m**3 - 7*m**2 - m - 1. Let k(c) = c**3 + c**2 + c + 1. Calculate j(h) + k(h).
3*h**3 - 6*h**2
Let f(n) = 19*n**2 - 2*n - 149. Let j(w) = -23*w**2 + 2*w + 149. Give 6*f(y) + 5*j(y).
-y**2 - 2*y - 149
Let d(c) = -8*c**3 - 8*c**2 + 13*c + 5. Let f(b) = 8*b**3 + 7*b**2 - 11*b - 4. What is -6*d(m) - 7*f(m)?
-8*m**3 - m**2 - m - 2
Let s(u) = -2*u**3 - 3*u**2 + 3*u + 2. Let y(m) = m**3 - m**2 + m + 1. Give -s(h) + 3*y(h).
5*h**3 + 1
Let a(x) = -2*x**2 + 13*x + 40. Let l(z) = z**2 - 6*z - 19. Determine -3*a(o) - 7*l(o).
-o**2 + 3*o + 13
Let r(p) = -4*p**3 - 11*p + 7. Suppose -7*j - 65 = -16. Let m(z) = 6*z**3 + 16*z - 10. What is j*r(x) - 5*m(x)?
-2*x**3 - 3*x + 1
Let h(f) = -5*f**3 - 7*f**2 + 11*f + 17. Let d(b) = 2*b**3 + 4*b**2 - 6*b - 9. Give -11*d(j) - 6*h(j).
8*j**3 - 2*j**2 - 3
Let j(a) = a - 13. Let r be (550/220)/((-1)/(-2)). Let o(i) = 6. What is r*o(h) + 2*j(h)?
2*h + 4
Let a(y) = -67*y**2 - 6*y + 3. Let f(k) = 1944*k**2 + 176*k - 88. Determine 176*a(j) + 6*f(j).
-128*j**2
Let k(t) = 7*t + 1. Let v(n) = 8*n + 1. Let q(m) = -4*k(m) + 3*v(m). Let y be (0 + 1)*6 - 3. Let s(r) = 0*r + y*r - 4*r. Calculate q(u) - 6*s(u).
2*u - 1
Let b be (2 + -2)/(-1) + 4*1. Let p(d) = d**3 + 4*d**2 - 6*d + 2. Let a(k) = k**3 + 5*k**2 - 7*k + 3. Give b*a(u) - 5*p(u).
-u**3 + 2*u + 2
Suppose -192 = -4*a + 2*p, 3*a - 3*p = -2*p + 142. Let s = a + -49. Let n(d) = 2*d**3 + d**2 + 4. Let b(r) = -3*r**3 - r**2 - 5. Determine s*b(t) - 4*n(t).
t**3 - t**2 - 1
Let q(c) = 12*c**3 + 5*c**2 - 5*c. Let f(j) = -13*j**3 - 6*j**2 + 6*j. Let r(s) = -5*f(s) - 6*q(s). Let p(t) = -t**3. Give -18*p(m) + 2*r(m).
4*m**3
Let q(b) = 4*b + 4. Let d(f) = 1. Let y(g) = -g**3 - 8*g**2 - 35*g - 281. Let k be y(-8). Calculate k*q(h) + 4*d(h).
-4*h
Suppose -3*m = 2*z - 3, 3*m = 4 + 5. Let a(o) = 4*o**2 + 4*o + 3. Let r(t) = -5*t**2 - 5*t - 4. Give z*r(n) - 4*a(n).
-n**2 - n
Let x(j) = 0 + 3*j**2 - 6 - 2*j + 2. Let f(k) = -331 + 659 - 327 + k + 0*k. Give 4*f(r) + x(r).
3*r**2 + 2*r
Let f(t) = 9*t**2 - 13*t - 17. Let d(m) = 14*m**2 - 20*m - 27. Determine -5*d(q) + 8*f(q).
2*q**2 - 4*q - 1
Let t(h) = 8*h**2 + 17. Let k(r) = 26*r**2 - 17*r + 18. Let w(p) = -9*p**2 + 6*p - 6. Let x(d) = 6*k(d) + 17*w(d). Determine 6*t(n) - 17*x(n).
-3*n**2
Let u(z) = 7*z**2 - 7*z - 2. Let y(b) = -8*b**2 + 0*b**2 + 79*b - 71*b + 2. Let q(w) = w**2 + 3. Let n be q(5). Suppose -3*x + n - 10 = 0. Give x*y(d) + 7*u(d).
d**2 - d - 2
Let r(q) = 42*q**3 + 12*q**2 - 12*q. Suppose -t + 4*c - 3 = 0, 4*t + t = -2*c + 29. Let f(k) = -17*k**3 - 5*k**2 + 5*k. What is t*r(y) + 12*f(y)?
6*y**3
Let u(k) = k**3 - k**2 + 2. Let x(c) = -2*c**3 + 2*c**2 - 4. Suppose -16*r = 3*f - 11*r + 17, 2*f + r + 16 = 0. Give f*u(t) - 4*x(t).
-t**3 + t**2 - 2
Let u = -271 - -269. Let o(t) = 2*t**2 + t + 3. Let a(h) = -h**2 - 12*h**3 + 9*h**3 + 4*h**3. Let r(b) = -b - 6. Let d be r(-5). What is d*o(s) + u*a(s)?
-2*s**3 - s - 3
Let g(k) be the second derivative of k**3/3 - 2*k**2 - 29*k. Let l(q) = -q**2 + 1. Let y(x) = -x**3 - 4*x**2 - 6*x - 7. Let t be y(-3). Calculate t*l(i) + g(i).
-2*i**2 + 2*i - 2
Let o(b) be the first derivative of -7*b**2/2 + b + 125. Let x(d) = 6*d. Let w(p) = 2*p. Let n(u) = -6*w(u) + x(u). Calculate 6*n(y) - 5*o(y).
-y - 5
Let r(f) = f - 3. Let o be (-46 + 47)*(-22)/(-2). Let c(x) = 2*x - 7. Let m(q) = -12*q + 43. Let a(n) = 39*c(n) + 6*m(n). Calculate o*r(j) - 2*a(j).
-j - 3
Let c(j) = 15*j**3 - 7*j**2 - 9*j. Suppose 0 = -2*a - a + 18. Let s(b) = -8*b**3 + 4*b**2 + 5*b. Determine a*c(z) + 11*s(z).
2*z**3 + 2*z**2 + z
Let b(f) = 9*f**2 - 17. Let z(y) = -5*y**2 + 8. Determine -3*b(q) - 5*z(q).
-2*q**2 + 11
Let s(g) = -4*g**2 + 3*g - 3. Let z(x) = -2*x**2 + 2*x - 2. Let o(u) = 3*s(u) - 5*z(u). Let l = 79 - 75. Let a(b) = -2*b**2 - b + 1. Give l*o(c) - 5*a(c).
2*c**2 + c - 1
Let j(g) = 7*g**3 + 5*g. Let u(k) = 0 - 6478*k + 4*k**3 + 0 + 6480*k. Give -2*j(b) + 5*u(b).
6*b**3
Let q(w) = -4*w**2 + 6*w. Suppose -a + 3 = 2*a. Let m(v) = v**2 - v. Suppose 2 = 3*r - 16. Determine a*q(c) + r*m(c).
2*c**2
Let d(p) = -1. Suppose -2*q - 1 - 5 = 0. Let w(i) = 67*i + 5. Let h(s) = 17*s + 1. Let t(g) = 4*h(g) - w(g). Determine q*d(c) + t(c).
c + 2
Let z(s) = 4113*s - 1 + s**2 - 4113*s. Let q(d) = -5*d**3 + 3*d**2 - 3. Determine q(l) - 3*z(l).
-5*l**3
Let u = -16 + 12. Suppose 7 = -c + 3*c + x, 0 = -4*c + 3*x + 29. Let n(t) = t**2 + 5*t + 5. Let g(f) = f**2 + 4*f + 4. What is c*g(s) + u*n(s)?
s**2
Let n(y) = -3*y**2 + 1. Let m(x) = -9*x**2 - 2*x + 14. Let q(p) = -14*p**2 - 3*p + 20. Let w(d) = -7*m(d) + 5*q(d). Determine -5*n(h) + 2*w(h).
h**2 - 2*h - 1
Let v(o) = -11 + 7*o**2 - 11*o**2 - 13*o**2 + 3*o. Let l(i) be the second derivative of -1/6*i**3 + 2*i**2 + 0 + 1/2*i**4 - 2*i. Determine 11*l(t) + 4*v(t).
-2*t**2 + t
Let v(j) be the second derivative of 0 + 1/2*j**2 - 11*j - 1/6*j**3. Let q(x) = -2 + 2 - x - 3 + 1. What is q(k) + 2*v(k)?
-3*k
Let x = -513 + 519. Let j(m) = -14*m**3 + 6*m - 17. Let r(b) be the first derivative of -b**2 + 0*b**3 + 6*b - 1 + 5/4*b**4. Calculate x*j(d) + 17*r(d).
d**3 + 2*d
Let i be (-128)/48 + 2/(-12)*2. Let p(w) = 23*w**2 + 6*w + 8. Let q(m) = 8*m**2 + 2*m + 3. What is i*p(n) + 8*q(n)?
-5*n**2 - 2*n
Let c(v) = 2*v**3 - 3*v**2 - v - 3. Let w(x) = x**3 + x**2 - x + 1. Give -c(t) - 3*w(t).
-5*t**3 + 4*t
Let m(l) = -17*l + 4. Let r(i) = i. Let b(h) = m(h) + 9*r(h). Suppose 2*q + 18 = 2*j + 2*j, -3*q + 18 = 3*j. Let g(f) = f - 1. Give q*b(a) + 6*g(a).
-2*a - 2
Let f(m) = 32*m**3 - 5*m**2 - 5*m + 5. Let z(d) = -48*d**3 + 32*d**2 + 32*d - 128. Let t(a) = -a**2 - a + 5. Let x(y) = -24*t(y) - z(y). Give 8*f(r) - 5*x(r).
16*r**3
Le