 2
Let z(t) be the first derivative of -6*t**2 - 2*t + 345. Let a(s) = -11*s - 2. What is -5*a(n) + 6*z(n)?
-17*n - 2
Let v(r) = -4986*r**2 + 42*r + 42. Let b(x) = 997*x**2 - 8*x - 8. What is 21*b(z) + 4*v(z)?
993*z**2
Let m(o) = -5*o**2 + 6. Let d(p) = p**2 + 1238 - 1238 + 5*p - 5*p. Determine 6*d(f) + m(f).
f**2 + 6
Let n(p) = -p**2 - 1. Let r(f) = 3*f**2 + 8*f + 2. Calculate -2*n(b) - 2*r(b).
-4*b**2 - 16*b - 2
Let v(w) = -3*w**2 - 165*w - 10. Let d(g) = 2*g**2 + 164*g + 8. What is 5*d(p) + 4*v(p)?
-2*p**2 + 160*p
Let y(q) = 3*q - 3*q - 1 - 6 - 2*q. Let s be y(5). Let j(w) = 14*w**3 - 6*w**2 - 11*w. Let k(m) = -5*m**3 + 2*m**2 + 4*m. Calculate s*k(z) - 6*j(z).
z**3 + 2*z**2 - 2*z
Let t(v) = 6*v - 4. Suppose 40*a + 296 = 114*a. Let i(c) = 55*c - 35. Give a*i(r) - 35*t(r).
10*r
Suppose -3*g + 6*h - h = -97, 2*h = g - 31. Let y = g + -46. Let m(x) = 7*x**3 - x + 2. Let q(d) = -15*d**3 + 3*d - 5. Determine y*m(w) - 3*q(w).
-4*w**3 - 2*w + 1
Let i(x) = -11*x**2 + 33*x - 8. Let n(o) = 6*o**2 - 16*o + 4. Determine 3*i(u) + 5*n(u).
-3*u**2 + 19*u - 4
Suppose -7 + 27 = 4*r - 4*f, 3*r + 6 = -4*f. Let v(b) = 5*b**2 + 4*b. Let z = 3 + 0. Let j(u) = -4 + 4 - 4*u**2 + 0 - z*u. Calculate r*v(a) + 3*j(a).
-2*a**2 - a
Let w(k) = 1296*k + 43. Let h(v) = -259*v - 8. What is -11*h(d) - 2*w(d)?
257*d + 2
Let j = 20 - 15. Let c = j + -4. Let w(a) = 2*a - 6. Let h(v) = v - 1. What is c*w(x) - 4*h(x)?
-2*x - 2
Let m(t) = -t**2 + t + 1. Let v(b) = 7*b**2 - 10*b - 3. Calculate 5*m(a) + v(a).
2*a**2 - 5*a + 2
Suppose -25 = 13*m - 18*m. Let s(v) be the second derivative of v**4/4 - 5*v**3/6 + 2*v. Let z(n) = n**2 - 2*n. Give m*z(g) - 2*s(g).
-g**2
Let d(a) = -4*a**3 + 2*a**2 + 13*a + 4. Let t(s) = 5*s**3 - 3*s**2 - 13*s - 4. Determine 4*d(y) + 3*t(y).
-y**3 - y**2 + 13*y + 4
Let m(b) = 21*b**2 - 11*b + 22. Let s(w) = -11*w**2 + 5*w - 10. Give -4*m(d) - 9*s(d).
15*d**2 - d + 2
Let w(d) = 219*d**3 - 6*d. Let b(h) = 657*h**3 - 17*h. Calculate 6*b(z) - 17*w(z).
219*z**3
Let s(j) = 35*j - 81*j + 39*j + 7. Let h(u) = u - 1. Let g be 1/(2/6) - 2. Let i(k) = g*s(k) + 6*h(k). Let f(m) = -2*m - 2. What is -f(v) - 2*i(v)?
4*v
Let n = 43 - 40. Suppose 0 - 22 = m + 4*d, -d = -4*m - n. Let u(l) = -21*l - 10. Let y be 11/(2/(-1 - -3)). Let r(b) = -4*b - 2. Determine m*u(w) + y*r(w).
-2*w - 2
Let n(q) = -5*q**3 - 9*q**2 + 47*q - 2. Let z(f) = 2*f**3 + 4*f**2 - 24*f + 1. Calculate 4*n(p) + 9*z(p).
-2*p**3 - 28*p + 1
Let k be (-9)/(-2)*(0 + 2). Let w(c) = c**3 - 10*c**2 + 9*c - 1. Let u be w(k). Let j(y) = 3*y**3 + 4*y. Let r(d) = -d. Determine u*j(g) - 4*r(g).
-3*g**3
Let x(p) = -p. Let i(a) = -19*a - 2. Determine -i(h) - 2*x(h).
21*h + 2
Let y(r) = -5*r**3 - 8*r**2 - 4*r - 3. Let b(c) = 4*c**3 + 7*c**2 + 4*c + 2. What is 4*b(g) + 3*y(g)?
g**3 + 4*g**2 + 4*g - 1
Let m(j) = j - 2. Let l(c) = -2*c**2 - 2*c - 16. Calculate -l(b) + 8*m(b).
2*b**2 + 10*b
Let p(r) = 145*r**2 + 85*r + 75. Let j(x) = 12*x**2 + 7*x + 6. What is -25*j(v) + 2*p(v)?
-10*v**2 - 5*v
Suppose -341 = 16*k - 149. Let c(a) = -9*a**2 + 21*a + 4. Let g(f) = -22*f**2 + 52*f + 10. Determine k*c(n) + 5*g(n).
-2*n**2 + 8*n + 2
Let d(w) = -w**2 + w - 1. Suppose h - 2*j - 132 - 277 = 0, -5*h + 4*j = -2039. Let v(b) = -207*b + 6 + 8*b**2 - 203*b + h*b. What is -6*d(c) - v(c)?
-2*c**2 - 3*c
Let c(v) = v + 28. Let z be c(-22). Let h(p) = 7*p**3 + 6*p**2 - 6*p + 6. Let o(d) = -d**2 + d - 1. What is z*o(m) + h(m)?
7*m**3
Let d(h) = -71409*h**3 - 221*h**2 + 221*h + 884. Let m(v) = -965*v**3 - 3*v**2 + 3*v + 12. Calculate -6*d(u) + 442*m(u).
1924*u**3
Let h(d) = -d**2 + 2*d - 1. Suppose 10*p + 148 = 108. Let o(i) = -i**2 + 2*i - 1. Give p*o(z) + 5*h(z).
-z**2 + 2*z - 1
Let c(f) = -3*f + 5. Let w(t) = t - 2. Let q = 1 - 3. What is q*c(p) - 5*w(p)?
p
Let p(x) = -1. Let h = -1 + 6. Let f(v) = 2. Let m(g) = h*p(g) + 3*f(g). Suppose 63*j + 2 = 65*j. Let n(s) = -s + 6. Determine j*n(r) - 6*m(r).
-r
Let h(g) = g + 20. Let i(f) = -5. Let y(b) = 3*b**2 + 25*b - 1. Suppose -77*v = -74*v + 24. Let s be y(v). What is s*i(l) - 2*h(l)?
-2*l + 5
Let x(s) = -1 - 1 + 2 - 1. Let u(y) = -y + 3. Let l(o) = o**3 - 3*o**2 - 3*o + 4. Let n be l(4). Let g = n + -11. Determine g*x(p) - u(p).
p
Let u = -42 + 47. Let y(f) = -9*f - u*f - 8 + f. Let v(d) = d**2 - 9*d + 9. Let z be v(6). Let q(t) = 3*t + 2. Calculate z*q(x) - 2*y(x).
-x - 2
Let r(m) = -31*m**2 + 6. Let o = 18 + -20. Let y(n) = -6*n**2 + 1. Let c(f) = o*r(f) + 11*y(f). Let s(k) = 17*k**2 + 4. Calculate -9*c(j) - 2*s(j).
2*j**2 + 1
Suppose 5 = j, s - 4*j + 15 = -2*j. Let i(r) = r**3 - 4*r**2 + 6*r + 7. Let p(y) = -y**3 + 3*y**2 - 4*y - 5. Let m = -17 - -10. Give m*p(k) + s*i(k).
2*k**3 - k**2 - 2*k
Suppose 6*v - 2*v - 16 = 0. Suppose 2*t = -v*k - 2*t + 36, -5*k + 4*t = 0. Let i(y) = -y**3 - 6*y**2 - 5. Let s(x) = x**2 + 1. What is k*s(r) + i(r)?
-r**3 - 2*r**2 - 1
Let s(k) = 12*k**2 - 8*k - 18. Let z(o) = -7*o**2 + 4*o + 10. Calculate 6*s(c) + 10*z(c).
2*c**2 - 8*c - 8
Let c(r) = -1. Let a(m) = 7*m + 8. Let g(p) = 8*p + 8. Let y(t) = 6*a(t) - 5*g(t). Give -6*c(i) - y(i).
-2*i - 2
Let b(w) = -81*w**3 + 14*w**2 - 8*w - 6. Let f(l) = -27*l**3 + 5*l**2 - 3*l - 2. What is -3*b(d) + 8*f(d)?
27*d**3 - 2*d**2 + 2
Let c be (-26)/(-10) + 2/5. Let r(g) = -5*g - 3. Suppose -10*i + 32 = -38. Let j(f) = 2*f + 1. Calculate c*r(z) + i*j(z).
-z - 2
Let h(m) = 10*m**2 - 2*m. Let c(s) = 78*s**2 - 10*s + 9. Let y(o) = -37*o**2 + 5*o - 4. Let n(i) = -4*c(i) - 9*y(i). Give -5*h(a) + 2*n(a).
-8*a**2
Let z(k) = 2*k**3 - 4*k**2. Let l(c) = -13*c**3 - 21*c**2 + 16*c**2 + 16*c**3. Calculate 4*l(b) - 5*z(b).
2*b**3
Let w(j) = -j**3 - j**2 + 1. Let z = 778 + -783. Let m(b) = 6*b**3 + 7*b**2 - 7. Determine z*m(h) - 35*w(h).
5*h**3
Let q(r) = -700*r**2 + 12*r. Let k(p) = 23100*p**2 - 400*p. What is 3*k(j) + 100*q(j)?
-700*j**2
Let u = 60 - 57. Let g(c) = -2*c**3 - 3*c**2 + 6. Let a(r) = 3*r**3 + 4*r**2 - 6. Determine u*a(v) + 4*g(v).
v**3 + 6
Let y(a) = -2*a**2 + 4*a + 1. Let w(b) = 1 - b**2 + 4*b - 3*b + 0. Let z(h) = 3*h - 26. Suppose -4*n + 0 + 40 = 0. Let l be z(n). What is l*w(i) - y(i)?
-2*i**2 + 3
Let o(p) = -5*p + 2. Let n(c) = -26*c + 10. What is 4*n(m) - 22*o(m)?
6*m - 4
Let o(w) = -5*w**3 + 8*w**2 + 6*w - 8. Let x(v) = 1089*v - 2180*v - 3 + 1093*v + v**3 + v**2 + 2*v**2 - 3*v**3. Calculate 3*o(b) - 8*x(b).
b**3 + 2*b
Let u(h) = 1 - 4 + 5 + 9*h. Let l(w) be the third derivative of w**4/6 + w**3/6 + 114*w**2 + 2. Let y = 18 - 31. Calculate y*l(v) + 6*u(v).
2*v - 1
Let s be -2 - ((-4)/1)/(1/2). Let z(f) = -2 - 8*f - s*f + 18*f - 8. Let b(q) = -q + 3. Calculate 10*b(d) + 3*z(d).
2*d
Let l(t) = -2. Suppose 2*h = 3*m, 4 = 2*h + 2*m - 7*m. Let c(w) = w - 2. Determine h*l(b) + 2*c(b).
2*b + 2
Let m(f) = -11*f - 17*f - 6 + 30*f. Let l(g) = 181 - 83 - 93 - 2*g. Determine 3*l(j) + 2*m(j).
-2*j + 3
Let r(j) = j**2 + 10*j + 2. Let z(n) = -14*n**2 - 15*n**2 + 44*n**2 - 7*n - 16*n**2 - 1. Calculate -5*r(d) - 7*z(d).
2*d**2 - d - 3
Let g(u) = 4*u + 3. Let o be g(0). Let m(z) = -13*z**2 + 7*z. Let c(v) = -7*v**2 + 4*v. Calculate o*m(j) - 5*c(j).
-4*j**2 + j
Let h(z) = 117*z**2 + 2. Let j(n) = -233*n**2 - n - 5. Determine 5*h(v) + 2*j(v).
119*v**2 - 2*v
Let c(j) = -j**2. Let u be ((-4)/(-6))/(1/6). Let h(n) = 14 + n**2 - 10 - u. Give 3*c(f) + 5*h(f).
2*f**2
Let n(i) = i - 80. Let g(x) = -x - 76. Determine -3*g(v) + 4*n(v).
7*v - 92
Let y(d) = -5*d**2 + 10*d + 7. Let t(p) = 11*p**2 - 22*p - 16. Determine 4*t(c) + 9*y(c).
-c**2 + 2*c - 1
Let k(v) = -2*v**3 - 55*v - 4. Let h(t) = -3*t**3 - 57*t - 5. What is 4*h(a) - 5*k(a)?
-2*a**3 + 47*a
Let i(w) = -69*w + 1. Let h(t) = 345*t - 6. What is 2*h(y) + 11*i(y)?
-69*y - 1
Let d(l) = 45*l**3 - 73*l**3 + 4*l**2 + 45*l**3. Let a(m) = -52*m**3 - 13*m**2. Give 4*a(q) + 13*d(q).
13*q**3
Let a(m) be the first derivative of m**4/4 + m**2/2 + m - 147. Let v(i) = 7*i**3 - 3*i**2 + 5*i + 6. Calculate -5*a(t) + v(t).
2*t**3 - 3*t**2 + 1
Let q be (-1)/8*2 + (-260)/(-16). Let h be (-1)/((-4)/q) - 2. Let x(t) = t**3 + 3*t**2 - 4*t + 2. Let z(s) = s**3 + 2*s**2 - 3*s + 2. What is h*x(v) - 3*z(v)?
-v**3 + v - 2
Let h(m) = 11*m + 2. Let f(g) = -5*g - 1. Suppose -4*b = -0*b - 20. Give b*f(c) + 2*h(c).
-3*c - 1
Let z(q) = -3*q**2 + 10. Let x(h) = -4*h**2 + 11. Let d(p) = -31*p + 57. Let b be d(2). Give b*x(l)