- v. Let b(a) = -4*a + 3. What is 2*b(p) - 5*h(p)?
2*p - 4
Let y(i) = 123. Let d(m) = -m - 489. What is -6*d(b) - 26*y(b)?
6*b - 264
Let a(v) = -58*v**2 + 11*v + 15. Let o(t) = -174*t**2 + 34*t + 42. Determine 14*a(x) - 5*o(x).
58*x**2 - 16*x
Let i(n) = -n + 1 + 0*n - 7*n**3 + 3*n**2 + n + 0*n + 4*n. Suppose 3*o - 8 = -11. Let w(m) = m**3 - m**2 - m. Calculate o*i(d) - 4*w(d).
3*d**3 + d**2 - 1
Let z(m) = 7*m - 5. Let s(q) = -4 + 5 + 4 - 4 + q. Let w be s(2). Let a(h) = -h + 2. Let k(c) = 1. Let i(t) = w*a(t) - 4*k(t). Give -15*i(o) - 6*z(o).
3*o
Let v(u) = -26*u**3 + 2*u**2 + 13*u - 2. Let l(d) = -d**3 - d**2 - d. Give 2*l(g) + v(g).
-28*g**3 + 11*g - 2
Let o(c) = -4*c + 594. Let s(l) = -10*l + 1172. What is 7*o(q) - 3*s(q)?
2*q + 642
Let u(n) = 2*n**3 - 5*n**2 + 4*n - 2. Suppose -1144 = -6*m - 1150. Let x(r) = r**2 - r + 1. Calculate m*u(g) - 2*x(g).
-2*g**3 + 3*g**2 - 2*g
Suppose 230 = 20*f - 53 - 57. Let d(p) = 119*p**3 - 17*p - 17. Let i(m) = -20*m**3 + 3*m + 3. Calculate f*i(k) + 3*d(k).
17*k**3
Let m(s) = -20*s**2 - 109*s - 2. Let g(y) = -7*y**2 - 55*y - 1. What is 5*g(v) - 2*m(v)?
5*v**2 - 57*v - 1
Let g(p) = 329*p**2 - 8*p + 4. Let l(v) = 334*v**2 - 6*v + 3. Determine 2*g(h) - 3*l(h).
-344*h**2 + 2*h - 1
Let x(s) = -34*s**2 - 63*s - 39. Let z(t) = 36*t**2 + 95*t + 40. Give -3*x(m) - 2*z(m).
30*m**2 - m + 37
Let b(i) = 34*i + 42. Let g(d) = 11*d + 13. What is -3*b(k) + 10*g(k)?
8*k + 4
Let p(l) = -5*l**2 - 181 + 6*l**3 + 96 + 5*l**3 + 13*l - 4*l**2 + 92. Let b(j) = -6*j**3 + 5*j**2 - 7*j - 4. What is 7*b(y) + 4*p(y)?
2*y**3 - y**2 + 3*y
Let p(f) = 39*f + 165. Let m(b) = 430*b + 1845. Determine 4*m(r) - 45*p(r).
-35*r - 45
Let q(d) = d - 18. Let b(u) = -u + 43. Let n(v) = -3*b(v) - 7*q(v). Let t(a) = 4*a + 2. Calculate -4*n(w) - 5*t(w).
-4*w + 2
Let q(s) = -18676*s**2 + 3864*s + 1932. Let d(t) = -9*t**2 + 2*t + 1. Give -1932*d(y) + q(y).
-1288*y**2
Suppose 13 = 3*s + 19, -2*h + 24 = -5*s. Let p(g) = 9*g**3 - 4*g - 5. Let d(a) = 5*a**3 - 2*a - 2. Determine h*d(m) - 4*p(m).
-m**3 + 2*m + 6
Let x(b) = -9308*b + 200. Let m(u) = 716*u - 15. What is -40*m(z) - 3*x(z)?
-716*z
Let z(q) be the first derivative of 2*q**3/3 - 6*q**2 - 2*q + 112. Let f(y) = -5*y**2 + 35*y + 5. Give -3*f(l) - 8*z(l).
-l**2 - 9*l + 1
Let a(k) = -7*k - 18. Let i(j) be the first derivative of j**2/2 - 8971. Determine -a(f) - 6*i(f).
f + 18
Let s = 19441 + -19436. Let n(a) = -a**2 - 6*a + 8. Let y = 11 + -18. Let d be n(y). Let i(r) = 6*r**3 - 4. Let f(c) = -c**3 + 1. What is d*i(v) + s*f(v)?
v**3 + 1
Let c(h) = -2*h**2 + 2*h - 3. Let l(i) = -7*i**2 - 1335*i - 12. Calculate 4*c(f) - l(f).
-f**2 + 1343*f
Let u(f) = 6*f**3 + 14*f**2 + 44. Let g(j) = 2*j**3 + 5*j**2 + 15. Suppose 43*r = 40*r + 15. Give r*u(o) - 14*g(o).
2*o**3 + 10
Let u(r) = -585*r + 4. Let n(y) = 30*y - 1. What is -3*n(v) - u(v)?
495*v - 1
Let k(x) = 6*x**2 - 34*x - 38. Let s(r) = -5*r**2 + 23*r + 38. Determine 4*k(j) + 5*s(j).
-j**2 - 21*j + 38
Let g(s) = -12*s**3 - s**2 + 8*s - 70. Let t(i) = -i**2 + i - 14. Calculate g(z) - 5*t(z).
-12*z**3 + 4*z**2 + 3*z
Let d(m) = -6252620*m + 87021. Let u(z) = 3233*z - 45. Determine 5*d(l) + 9669*u(l).
-3223*l
Let f(s) = -32*s - 12. Let g(a) = 45377 - 22691 - 22687. What is -f(d) + 10*g(d)?
32*d + 2
Suppose 5*j - 14 = k, -j - 18*k - 2 = -23*k. Let s(x) be the first derivative of -4*x + 1. Let h(v) = -v + 11. Determine j*h(z) + 8*s(z).
-3*z + 1
Let x(r) = -11*r**3 + r**2 + 1. Let v(l) = 585*l**3 - 40*l**2 - 40. Calculate -3*v(w) - 120*x(w).
-435*w**3
Suppose 0 = -k + a + 4, -4*a + 2*a = -5*k - 1. Let i(f) = -18. Let q(y) = y + 37. Calculate k*q(c) - 7*i(c).
-3*c + 15
Let c(d) = -125*d**3 + 23*d**2 - 24*d - 23. Let u(f) = 31*f**3 - 6*f**2 + 6*f + 6. Calculate -6*c(w) - 23*u(w).
37*w**3 + 6*w
Let c be 169/52*-12*(-1)/3*1. Let f(k) = -3*k**2 + k - 7. Let y(w) = -6*w**2 + 2*w - 15. Give c*f(p) - 6*y(p).
-3*p**2 + p - 1
Let i(q) = -260*q - 90. Let x(m) = -208*m - 73. Let r(b) = 13*i(b) - 16*x(b). Let u(n) = -363*n - 15. Calculate -15*r(z) + 2*u(z).
54*z
Let t(i) = 16*i - 4. Let f(b) = -14*b + 14. Let o(k) = 54*k - 52. Let u(l) = -11*f(l) - 3*o(l). Determine -3*t(w) - 5*u(w).
-8*w + 2
Let f(l) = 2*l**2 - 4*l - 7. Let h(i) = 109*i + 2 - i**2 - 103*i - 4*i - i. What is 4*f(v) + 14*h(v)?
-6*v**2 - 2*v
Suppose 2*x + 10 = -5*a - 0, 0 = -2*a - 3*a. Let k(b) = -16*b**2 + 6*b. Let j(u) = -16*u**2 + 5*u. Calculate x*j(q) + 4*k(q).
16*q**2 - q
Let m(n) be the first derivative of -2*n**2 + 3*n - 3. Suppose 120*j + 20 = 116*j. Let y(u) be the first derivative of u**2/2 - 9. What is j*y(v) - m(v)?
-v - 3
Let l(g) = 4705*g + 3. Let v(m) = 1765*m + 1. Give -7*l(i) + 19*v(i).
600*i - 2
Let g(q) = 4*q**2 - 3*q. Let b(p) = -13*p**2 + 9*p - 1. Let l be (-3)/((54/(-312))/3) - -4. Suppose 21*s = -7*s - l. What is s*b(f) - 7*g(f)?
-2*f**2 + 3*f + 2
Let w(g) = 3*g - 1. Let d(v) = -3*v + 1. Let q(h) = -7*h - 84. Let t be q(-12). Suppose 0 = 3*k - 3*r - 6, -2*k + 4 = -t*r - r. Give k*w(l) + 3*d(l).
-3*l + 1
Let y(f) = -10*f**2 - 193*f - 2. Let t(l) = 16*l**2 + 289*l + 3. Calculate 5*t(s) + 7*y(s).
10*s**2 + 94*s + 1
Let f(k) = k**2 - 1. Let x(a) = 2*a**3 - 20*a**2 - 11. Let i(s) = s**3 - 11*s**2 - 6. Let b(h) = 11*i(h) - 6*x(h). Let d = 256 + -257. What is d*f(q) - b(q)?
q**3 + 1
Let f(p) = -5*p**2 - 1. Let u be 3*(-40)/50*65/(-52). Let y(h) be the first derivative of 6*h + 0*h**2 + 25/3*h**u + 9. Give 11*f(w) + 2*y(w).
-5*w**2 + 1
Let w(l) = 7*l + 2. Let a = -531 + 535. Suppose 0 = -a*v - 3*o - 4, v + o + 12 = -3*v. Let i(y) = -6*y - 2. What is v*w(m) - 5*i(m)?
2*m + 2
Let r(j) = -2*j - 1. Let g(n) = -7*n - 4. Let p = -39 - -33. Let h(y) = 8*y - 26. Let a be h(6). What is a*r(b) + p*g(b)?
-2*b + 2
Let k(b) = 22*b**2 + 24*b + 4. Let g(x) = -22*x**2 - 20*x - 4. Calculate -5*g(v) - 4*k(v).
22*v**2 + 4*v + 4
Let j(z) = -750*z + 3. Let r be j(0). Let c(a) = -11*a**2 - 47*a - 8. Let g(l) = -4*l**2 - 16*l - 3. What is r*c(b) - 8*g(b)?
-b**2 - 13*b
Let r(p) = -13*p - 197. Let l(j) = 40*j + 587. Calculate 2*l(u) + 7*r(u).
-11*u - 205
Let y(x) = 2*x**2 + 7*x - 7. Let l(c) = c + 13. Suppose -17*f + 18*f = -18. Let b be l(f). Let o(g) = -6*g**2 - 22*g + 22. What is b*o(q) - 16*y(q)?
-2*q**2 - 2*q + 2
Let h(l) = -3*l + 4. Suppose 0 = 42*p - 45*p - 3*z + 39, 0 = -2*p + z + 11. Let f(y) = -9*y + 5 + 8 - 2. Give p*h(r) - 3*f(r).
3*r - 1
Let v(t) = -3 + 2 - 2*t + 3*t. Let w(p) be the second derivative of -p**2/2 - 38633*p. Give 2*v(m) - w(m).
2*m - 1
Let v(a) = 3*a + 2. Let n(z) be the third derivative of -z**4/24 + z**2 - 1592. Let c(d) = 3*d**3 + d. Let s be c(-1). Determine s*n(q) - v(q).
q - 2
Let g(o) = o + 3. Let u(q) = 76*q + 20*q - 6 - 117*q + 19*q. Calculate -7*g(d) - 4*u(d).
d + 3
Suppose -17*g = -13*g + 716. Let a = -180 - g. Let q(k) = -k. Let n(y) = y + 4. What is a*n(m) - 2*q(m)?
m - 4
Let h(c) = c**3 + c**2 - c. Let d(g) = 47*g**3 - 348*g**2 + 8*g + 344*g**2 - 54*g**3. Determine -d(q) - 6*h(q).
q**3 - 2*q**2 - 2*q
Let o(u) = 58*u**3 - 4*u**2 + 38*u**3 + 2 + 49*u**3 - 175*u**3 + 4*u + 41*u**3. Let y(n) = 22*n**3 - 7*n**2 + 7*n + 3. Give -7*o(d) + 4*y(d).
11*d**3 - 2
Let j(q) = 81*q**2 + 7*q + 24. Let t(v) = -1296*v**2 - 111*v - 396. Determine -33*j(p) - 2*t(p).
-81*p**2 - 9*p
Let n be ((-290)/40 + 8)/(2/8). Let j(x) = 12*x + 1. Let i(t) = -13*t - 2. Determine n*i(b) + 4*j(b).
9*b - 2
Let k(t) = -3*t**3 + 5*t - 2. Suppose c + 40 = -2*z, -4*z = 3 + 1. Let g = c - -49. Suppose 10*w = g*w + 5. Let j(s) = -3*s**3 + 6*s - 2. Give w*j(u) + 6*k(u).
-3*u**3 - 2
Let o(h) = -1102*h - 23. Let r(g) = -2204*g - 54. Determine -7*o(c) + 3*r(c).
1102*c - 1
Let c(h) be the first derivative of 4*h**2 + 3*h + 21. Let d(z) = z**2 - 3*z - 241. Let u be d(-14). Let s(g) = -4*g - 2. Determine u*c(a) - 5*s(a).
-4*a + 1
Let y(t) = -t**2. Let c(o) = 7*o**2 - 23*o + 2. Let q = -12601 - -12606. Give q*y(x) + c(x).
2*x**2 - 23*x + 2
Let u(r) = 6*r**3 - 4*r. Let o(f) = -8709*f**3 + 4346*f**3 + 4364*f**3. What is -3*o(q) + u(q)?
3*q**3 - 4*q
Let c(a) = -56*a - 5972. Let l(y) = -47*y - 5976. Determine -5*c(h) + 6*l(h).
-2*h - 5996
Suppose r = 5*o + 44, 0 = -0*r - 5*r + o + 124. Let p(w) be the first derivative of r - 2*w - w + 3*w + w. Let x(b) = 4*b + 5. Calculate 4*p(l) - x(l).
-4*l - 1
Let x(k) = k. Let o(b) = 2*b - 2*b - 