2*v(k).
3*k**3 + 3*k**2 - 14*k
Let p(t) = 8*t**2 - 11*t - 14. Let l(s) be the second derivative of -s**4/4 + 2*s**3/3 + 5*s**2/2 + s + 24. What is -11*l(z) - 4*p(z)?
z**2 + 1
Let s(x) = x**2 + x + 1. Let r(f) = f**3 + 11*f**2 + 8*f - 19. Let q be r(-10). Let o(l) = -18*l**2 - 9*l - 9. What is q*o(v) + 9*s(v)?
-9*v**2
Let t(p) = -5 - 11*p + 10*p + 5*p. Let g(f) = -9*f + 11. What is 6*g(z) + 13*t(z)?
-2*z + 1
Let l(p) = -3*p**3 + 8*p - 5. Let q(u) = -2*u. What is l(t) + 4*q(t)?
-3*t**3 - 5
Let a = -12 - -7. Let c(f) = 19644*f**2 - 19649*f**2 + 3*f**3 - f**3 - 5*f. Let r(s) = 3*s**3 - 6*s**2 - 6*s. What is a*r(k) + 6*c(k)?
-3*k**3
Let s(x) = -x - 4. Let m(j) = -j. Suppose 3*r + 0*r - 2 = 2*a, -r = -4*a + 6. Let b(l) = 4*l + 3. Let c(v) = r*m(v) + b(v). Give -4*c(q) - 3*s(q).
-5*q
Let c(b) = 2*b - 7. Let o(a) = 28*a + 6. Let k be o(0). Let r(z) = 2*z - 6. Calculate k*r(m) - 5*c(m).
2*m - 1
Let n(l) = -l. Let x(d) = 293*d. Determine -6*n(v) - x(v).
-287*v
Suppose -3*u = 5*g - 2, -4*u + 2*g - 19 - 13 = 0. Let r(b) = -13*b**2 + 6*b. Let f(x) = 364*x**2 - 169*x. Determine u*f(d) - 169*r(d).
13*d**2
Let b(n) = 8*n**2 - 5*n - 3. Suppose s + 12 = 3*s. Let h(i) = i**2 - i - 1. Calculate s*h(u) - b(u).
-2*u**2 - u - 3
Let b(i) = 5*i - 6. Let r(s) = -294*s + 579*s - 299*s + 18. Calculate -17*b(c) - 6*r(c).
-c - 6
Let n(s) = 6*s**2 - 5*s - 38. Let h(f) = -6*f**2 + 6*f + 35. Determine 5*h(k) + 6*n(k).
6*k**2 - 53
Let z(n) = n**3 - n**2 + n. Let q(p) = 3*p**3 - 5*p**2 - 9*p. Let f(k) = q(k) + 5*z(k). Let h(m) = -7*m**3 + 9*m**2 + 3*m. Give 5*f(j) + 6*h(j).
-2*j**3 + 4*j**2 - 2*j
Let z(v) be the first derivative of v**2 + 2*v + 2. Suppose 3*f + f = -44. Let h(j) = j**3 + 11*j + 11. Let x = 173 + -171. What is f*z(q) + x*h(q)?
2*q**3
Let y(o) = -o - 2. Let v(i) = 8*i. Give v(l) + 2*y(l).
6*l - 4
Let a(m) = -23*m**2 + 3. Let k(s) = 8*s**2 - 1. Let q(j) = a(j) + 3*k(j). Let y(p) = -16*p**2. What is 24*q(l) + y(l)?
8*l**2
Let u(j) = 97*j**3 - 32*j**2 + 18*j - 18. Let n(c) = -24*c**3 + 8*c**2 - 4*c + 4. Calculate 9*n(p) + 2*u(p).
-22*p**3 + 8*p**2
Let a(v) = 29*v. Let m(n) = -n. Determine -a(p) - 87*m(p).
58*p
Let y(o) = 98*o + 4. Let z(a) = 97*a + 5. Calculate 5*y(i) - 4*z(i).
102*i
Let f(t) = -2*t**2. Suppose -2*q = 2*q - 4. Let z be (4 - (2 - 1))/q. Let h(u) = -5*u**2. Suppose 3*v + 2*l = 1 - 27, -v = -l + 7. Give v*f(n) + z*h(n).
n**2
Let n(o) = 16*o - 3. Let b(a) = 7*a - 2. Determine -5*b(r) + 2*n(r).
-3*r + 4
Let i(a) = -8*a**2 + 3*a - 3. Let g(y) = y**2 - y + 1. Give 12*g(k) + 4*i(k).
-20*k**2
Let v(m) = -1. Let t = -433 + 434. Let z(i) = 2*i**2 - i - 1. Calculate t*z(u) - 3*v(u).
2*u**2 - u + 2
Let w(q) = 461*q**2 + 2*q - 4. Let p(g) = 461*g**2 + 3*g - 6. Determine 2*p(h) - 3*w(h).
-461*h**2
Let w(p) = -180757*p**3 - 2710*p**2. Let u(d) = 267*d**3 + 4*d**2. What is 1355*u(n) + 2*w(n)?
271*n**3
Let j(c) = c**2 + 1. Let o(q) = 6*q**2 - 2*q + 4. Let v = 78 - 49. Suppose -20 = v*m - 24*m. What is m*j(u) + o(u)?
2*u**2 - 2*u
Let l(k) = -8*k**2 - 4*k + 5. Let p(n) = -34*n**2 - 18*n + 19. Determine 9*l(a) - 2*p(a).
-4*a**2 + 7
Let y(r) = -r + 6. Let s = 188 + -182. Let n(i) = -i**2 + i - 5. Determine s*n(g) + 5*y(g).
-6*g**2 + g
Let u(f) = -14*f**2 + 15*f - 3. Let k(t) = 24*t**2 - 22*t + 4. Calculate 5*k(w) + 8*u(w).
8*w**2 + 10*w - 4
Let l(v) = v. Let y(m) = -5*m**3 - 2*m - 1. Let t = -334 + 335. Give t*y(q) + 2*l(q).
-5*q**3 - 1
Let i(w) = 4*w + 3. Let r be (-14 - 1)*20/60. Let s(o) = -9*o + 11. Let f(d) = 3*d - 4. Let p(v) = -17*f(v) - 6*s(v). What is r*i(z) + 6*p(z)?
-2*z - 3
Let s(i) = -i**2 + 3*i - 7. Let r(j) = 3*j + 5. Let x(l) = 7*l + 14. Let g(h) = 5*r(h) - 2*x(h). Determine 7*g(y) - 3*s(y).
3*y**2 - 2*y
Let m(t) = 12*t**3 - 15*t**2 + 15*t - 15. Let f(y) be the first derivative of y**4/4 - y**3/3 + y**2/2 - y - 12. Let r = 34 + -35. Give r*m(q) + 15*f(q).
3*q**3
Let r(t) = -t**2 + 4*t + 3. Let f be (-4)/(-20) + 68/10. Let v(q) = 13*q**2 - f*q**2 - 5*q**2 - 5*q - 4. What is -6*r(w) - 5*v(w)?
w**2 + w + 2
Let g(j) = 49*j - 35*j - 6 - 23*j. Let y(x) be the second derivative of -2*x**3/3 - 3*x**2/2 + 7*x. What is 3*g(t) - 7*y(t)?
t + 3
Let q(c) = -7*c**3 + 11*c**2 - 5. Let i(a) = 4*a**3 - 6*a**2 + 2. What is -11*i(d) - 6*q(d)?
-2*d**3 + 8
Let z(y) = y**2 - 5*y - 3. Suppose -24 = -2*h - 2*h - 4*i, -26 = -3*h - 5*i. Let t(p) be the first derivative of 1/3*p**3 - p - 2 - p**2. Give h*z(q) - 5*t(q).
-3*q**2 - 1
Let a(s) = -s. Suppose 4*w - 3*u - 50 = -u, -5 = -w + 3*u. Let z(r) = -w*r + 1 + 12*r + 4*r. What is -4*a(x) - z(x)?
2*x - 1
Let g(n) = n - 1. Let f be (-56)/32 + -1 + 42/24. Let x(h) = -3*h - 1. What is f*x(j) + 2*g(j)?
5*j - 1
Suppose -11*j + 23 = -8*j + 4*x, 5*x - 25 = 0. Let n(h) = -h + 1. Let f(l) = -8*l + 1. Determine j*f(i) - 3*n(i).
-5*i - 2
Suppose 0 = v - 0 + 2, -4*v - 14 = -k. Let c(h) be the first derivative of k - h**3 + h + 0*h - 3*h. Let d(n) = 7*n**2 + 5. What is 5*c(q) + 2*d(q)?
-q**2
Let x(h) = -68*h + 18. Let t(i) = 14*i - 4. Calculate 11*t(w) + 2*x(w).
18*w - 8
Let b(d) = -365*d**2 - 7*d + 7. Let f(w) = -56027*w**2 - 1074*w + 1074. Determine 1074*b(i) - 7*f(i).
179*i**2
Let x(f) = -3*f**3 - 2*f**2 - 3*f**2 + 3*f + 2*f. Let d(s) = -12*s**3 - 21*s**2 + 21*s. Let q = -3403 + 3424. Give q*x(c) - 5*d(c).
-3*c**3
Let n(m) = 28*m**2 - 11*m - 1. Let h(u) = -42*u**2 + 17*u + 2. What is 5*h(w) + 8*n(w)?
14*w**2 - 3*w + 2
Suppose -4*t + 3*x = -27, -4*x = -2*t - 3*x + 15. Let b(u) = -6*u**2 + 2*u - 6. Let h(a) = -3*a**2 + a - 3. What is t*h(k) - 4*b(k)?
-3*k**2 + k - 3
Suppose 110*h - 116*h = 36. Let c(i) = -8*i**2 + 2*i - 5. Let x(a) = -7*a**2 + 2*a - 4. Calculate h*c(k) + 7*x(k).
-k**2 + 2*k + 2
Let t(p) = -2*p**3 + 6*p**2 + 7*p + 13. Let a(k) = 3*k**3 - 7*k**2 - 8*k - 16. Determine 6*a(u) + 7*t(u).
4*u**3 + u - 5
Let g(v) = -66 - 8*v - 11*v + 20*v + 67. Let d(p) = -p**3 + 2*p**3 + 6*p - 2*p**3 + 6. Calculate -d(q) + 6*g(q).
q**3
Suppose o - 20 = -4*o, 0 = -p - o. Let x(y) = 8*y**3 + 4*y**2 + 4*y - 4. Let v(u) = -8*u**3 - 5*u**2 - 5*u + 5. What is p*v(c) - 5*x(c)?
-8*c**3
Let q(l) = 39390*l**3 - 910*l**2. Let z(v) = 130*v**3 - 3*v**2. Determine 3*q(x) - 910*z(x).
-130*x**3
Let n(x) = -111*x**3 - 2*x**2 + 2*x - 1. Let d(a) = -221*a**3 - 3*a**2 + 3*a - 2. Determine 3*d(p) - 5*n(p).
-108*p**3 + p**2 - p - 1
Let f(z) = -6*z + 0 - 7*z - 4. Let v(g) = -6*g - 2. Suppose b - 2*j - 9 = 7, 0 = -5*j + 10. Suppose 0 = 6*t + 4 + b. Give t*f(x) + 9*v(x).
-2*x - 2
Let d(j) = 4*j**3 - 3*j**2 + 2*j - 3. Let r = 914 + -913. Let p(u) = u**3 - u**2 - 1. Calculate r*d(z) - 3*p(z).
z**3 + 2*z
Let k(y) = -64*y**3 + 3*y**2 - 6*y - 3. Let b(r) = 1022*r**3 - 49*r**2 + 98*r + 49. Calculate 3*b(v) + 49*k(v).
-70*v**3
Let m(g) = -2*g + 143. Let d(h) = -3*h + 214. What is 5*d(a) - 7*m(a)?
-a + 69
Let v(z) = -9*z**2 - 11*z - 17. Let w(m) = 3*m**2 + 4*m + 6. Suppose -48 = 11*x - 3*x. Let r be ((-2)/2 - -18)*-1. Calculate r*w(d) + x*v(d).
3*d**2 - 2*d
Let n(d) = 56*d**2 - 6*d + 4. Let c(f) = 223*f**2 - 26*f + 17. What is 2*c(v) - 9*n(v)?
-58*v**2 + 2*v - 2
Let a(c) = 20*c + 7. Let v(b) = -11*b - 4. Let o(y) = -3*a(y) - 5*v(y). Let j(x) = 2*x - x - 2*x. Give 3*j(r) - o(r).
2*r + 1
Let p(y) = 4*y**3 + y**2 + y - 1. Let z(r) = 19*r**3 + 6*r**2 + 59*r - 6. What is 6*p(j) - z(j)?
5*j**3 - 53*j
Let w(c) = c**2 - 3. Let b(d) = -d**2 - 12*d + 22. Let p be b(-12). Suppose 0*g = -g - p. Let h(u) = -5*u**2 + 5*u**2 + 4*u**2 - 11. Give g*w(i) + 6*h(i).
2*i**2
Let u(c) = -7*c + 4. Let q(z) = z**2 - 16*z + 8. Determine 2*q(v) - 5*u(v).
2*v**2 + 3*v - 4
Let a(h) = h**2 - 1. Let x(i) = -i**2 - 4*i - 4. Let d be x(-3). Suppose 5*k + 5 = 0, -7*k + 4*k = -n - 2. Let r(g) = -4*g**2 + 2*g + 7. Give d*r(q) + n*a(q).
-q**2 - 2*q - 2
Let z(s) = s**2 - 3*s - 3. Let m be z(-1). Let b(t) = t**2 - 2*t - 3. Let l(y) = y**2 - y. Give m*b(c) - 2*l(c).
-c**2 - 3
Let f(u) = 65*u - 5. Let o(l) = 193*l - 14. Calculate -17*f(a) + 6*o(a).
53*a + 1
Let q(n) = -5*n + 27. Let z(o) = -7*o + 28. Give -2*q(w) + 3*z(w).
-11*w + 30
Let o(w) = -15*w**3 - 81*w**2. Let b(r) = 72*r**3 + 404*r**2. What is -3*b(a) - 14*o(a)?
-6*a**3 - 78*a**2
Let z(w) = 2*w - 54. Let i(n) = 3*n - 53. Calculate -4*i(c) + 5*z(c).
-2*c - 58
Let k(g) = -2*g - 1. Let q(n) = -n - 1. Let f = 3 + -5. Suppose -26 + 11 = -5*y. Suppose 5*z = -0*j - j 