 7*z(k)?
-8*k**2
Let z(n) be the third derivative of n**4/8 - n**3/6 - 10*n**2. Let y(x) = 5*x - 1. Let b = -59 - -66. Give b*z(g) - 4*y(g).
g - 3
Let g(h) = 19*h + 14. Let p(k) = -9*k - 7. What is -4*g(q) - 9*p(q)?
5*q + 7
Let z(t) = -35*t - 2*t**3 - 2*t**3 - 11*t**2 - 2*t**2 + 54*t + 11 - 28*t. Let j(s) = -2*s**3 - 6*s**2 - 4*s + 5. What is -9*j(m) + 4*z(m)?
2*m**3 + 2*m**2 - 1
Let v(n) = -3*n**2 + 4*n + 3. Suppose 5*o + 3*g = 608, -5*o + 2*g - g + 624 = 0. Let q(s) = -128 + 3*s**2 + 2*s + o - 8*s + s. Determine 4*q(f) + 5*v(f).
-3*f**2 - 1
Let g(q) = 5*q + 5. Let b(f) = -16*f - 16. Suppose 20*n + 6 + 194 = 0. Determine n*g(r) - 3*b(r).
-2*r - 2
Let y(s) = -2*s**2 - 2*s + 7. Let c(u) = u**2 + u - 3. Let l(z) = -9*c(z) - 4*y(z). Let q = -1 + 2. Let i(k) = -k**2 - k. Calculate q*l(j) + i(j).
-2*j**2 - 2*j - 1
Let u(z) = z**2. Let m(b) = -5*b**2 - 6*b - 9. Determine m(o) + 4*u(o).
-o**2 - 6*o - 9
Let v be (3/2)/(3/14). Let z = v - 4. Let t(q) = -z + 4 - 2 + 4 + q. Let f(p) = -4*p - 10. Give 2*f(o) + 7*t(o).
-o + 1
Let q(x) = -15*x**3 + 2*x**2 + 2*x. Suppose r = 5*a + 10, -7*r = -3*a - 12*r - 34. Let d(h) = 16*h**3 - 3*h**2 - 3*h. Calculate a*q(k) - 2*d(k).
13*k**3
Let h(u) = 77*u**3 + 66*u**2 + 66. Let y = -253 + 254. Let i(t) = -t**3 - t**2 - 1. Determine y*h(s) + 66*i(s).
11*s**3
Let q(h) = 11*h**3 - 17*h**2 - 19*h - 4. Let m(g) = 5*g**3 - 8*g**2 - 9*g - 2. What is -13*m(c) + 6*q(c)?
c**3 + 2*c**2 + 3*c + 2
Let t(y) = -4*y**2 + 2*y - 1. Let h(s) be the first derivative of -5*s**3/3 + 3*s**2/2 - s + 476. Give 2*h(k) - 3*t(k).
2*k**2 + 1
Let m(o) = 2*o**2 + 4*o. Let k(i) = i. Let g be (-10)/6*(1 + 2). Let d = 23 - 24. Let q = d + g. Determine q*k(c) + m(c).
2*c**2 - 2*c
Let g(o) = 75*o**3 + 3*o**2 + 2*o - 3. Let z(t) = -149*t**3 - 7*t**2 - 5*t + 7. Give -7*g(d) - 3*z(d).
-78*d**3 + d
Let j(z) = z**3 - z**2 - 2*z. Let f(w) = -2*w**3 - 4*w + 1. What is -2*f(a) - 2*j(a)?
2*a**3 + 2*a**2 + 12*a - 2
Let f(u) = 7*u - 78. Let i(w) = -3*w + 39. Determine -4*f(p) - 9*i(p).
-p - 39
Let t(k) = -6. Let y(f) = 9*f - 18*f + 8*f - 6 - 1. What is 3*t(v) - 2*y(v)?
2*v - 4
Let c(m) = -5*m**2 + 12*m + 9*m**2 + 0*m**2 - 18*m**3 + 8*m**2 + 12. Suppose 48 = -y - 47*y. Let d(w) = -w**3 + w**2 + w + 1. Give y*c(q) + 12*d(q).
6*q**3
Let x(t) = 4*t**3 - 2*t**2 + 2*t. Suppose -24 = 115*q - 111*q. Let b(j) = -5*j**3 + 3*j**2 - 3*j. What is q*x(v) - 4*b(v)?
-4*v**3
Let o(i) = -3*i**3 - 4*i**2 + i + 4. Let g(y) = 7*y**3 + 9*y**2 - 2*y - 9. Give -2*g(z) - 5*o(z).
z**3 + 2*z**2 - z - 2
Let o(d) = d**3 - 38*d**2 + 136*d + 1. Let g be o(34). Let n(q) = -q**3 + q**2 - q. Let m(b) = -13*b**3 - 2*b**2 + 2*b. Calculate g*m(f) + 2*n(f).
-15*f**3
Let y(x) = 15*x + 53. Let b(s) = -7*s - 26. Give 13*b(l) + 6*y(l).
-l - 20
Let q(j) = -8*j**2 - 3*j - 2. Let i(p) = 41*p**2 + 16*p + 10. Give 2*i(n) + 11*q(n).
-6*n**2 - n - 2
Let p(c) = -92*c - 19. Let a(y) = 29*y + 6. Let m(l) = 19*a(l) + 6*p(l). Let t be 5 + 3/1 + 0. Let j(o) = 4*o. Determine t*m(w) + j(w).
-4*w
Let k(w) = w**3 + 5*w**2 - 4*w + 1. Let t(a) = -5*a**3 + 6*a**3 + a + 0*a + 4*a**2 - 4*a. What is 3*k(x) - 4*t(x)?
-x**3 - x**2 + 3
Let n(i) = -i - 42. Let y(o) = 45. Calculate 4*n(t) + 3*y(t).
-4*t - 33
Let p(c) = 6*c**2 - 3*c + 3. Let i(j) = 18*j**2 - 10*j + 10. Suppose 66*a - 39*a = 540. Give a*p(h) - 6*i(h).
12*h**2
Let m(a) = 227*a**2 - 454*a + 908. Let b(i) = -2*i**2 + i - 2. Determine 454*b(f) + m(f).
-681*f**2
Let c(x) = x - 7. Let m(p) = -2*p + 10. Let r be 90/30 - (0 - -8). Give r*m(a) - 7*c(a).
3*a - 1
Let w(p) = -5*p - 2. Let f(o) = -14*o - 7. Let u = 1382 + -1384. Calculate u*f(q) + 7*w(q).
-7*q
Let u(w) = 0*w + 2*w - 270*w**2 + 265*w**2 + 6 - 13. Let q(t) = -4*t**2 + 2*t - 7. Calculate 3*q(c) - 2*u(c).
-2*c**2 + 2*c - 7
Let n(v) = 6*v**2 + 6*v. Let h(j) = j**3 - 7*j**2 - 8*j. Let i(p) = -2*h(p) - 3*n(p). Let f(t) = 5*t**2 - 2*t**3 + 4*t**3 + 2*t + t. Give 4*f(z) + 5*i(z).
-2*z**3 + 2*z
Let n(z) be the first derivative of z**2/2 - z - 55. Let f(j) = j + 12. Let y be f(-10). Let b(h) = -2. Give y*n(x) - 2*b(x).
2*x + 2
Let n(h) = -h**2 + 8*h + 253. Let m(j) = -j**2 + 5*j + 127. Determine 5*m(d) - 3*n(d).
-2*d**2 + d - 124
Let m(g) = 3*g + 5. Let z(l) = 7*l + 14. Calculate -8*m(t) + 3*z(t).
-3*t + 2
Let o(r) = -4*r**2 + 128. Let t(m) = 2*m**2 + m + 2. Calculate -o(i) - 3*t(i).
-2*i**2 - 3*i - 134
Let g(n) = 5*n**3 - 7*n**2 + 2. Let c(q) = -9*q**3 + 14*q**2 - 4. What is -4*c(l) - 7*g(l)?
l**3 - 7*l**2 + 2
Let z(u) = -2*u**2 + 5*u - 48. Let o(j) = 3*j**2 - 7*j + 48. Calculate -3*o(d) - 4*z(d).
-d**2 + d + 48
Let w(u) be the third derivative of u**5/60 + 5*u**4/24 - 13*u**3/6 - 526*u**2. Let d(q) = q - 3. Determine -9*d(h) + 2*w(h).
2*h**2 + h + 1
Let u(r) = -8*r + 261. Let j(p) = -38*p + 1304. Give 3*j(m) - 14*u(m).
-2*m + 258
Let c(z) = -z**2 + z + 1. Let d(w) = -2*w**2 - 5*w + 7. Give 6*c(i) - d(i).
-4*i**2 + 11*i - 1
Let d(h) = -6*h**2 - 80*h + 1. Let x(a) = 14*a**2 + 161*a - 1. What is 5*d(p) + 2*x(p)?
-2*p**2 - 78*p + 3
Let a be 4 + (-33)/12 + 12/(-48). Let u(g) = 1. Let s(n) = -n - 8. What is a*s(t) + 6*u(t)?
-t - 2
Suppose 137*v - 141*v + 24 = 0. Let j(w) = -11*w**3 + 6*w - 6. Let f(y) = -65*y**3 + 35*y - 35. Calculate v*f(d) - 35*j(d).
-5*d**3
Let z = -234 - -232. Let a(v) = 2*v + 5. Let p(h) = -2*h - 4. Let c(b) = -5*a(b) - 6*p(b). Let q(m) = -4*m + 3. Determine z*q(y) - 5*c(y).
-2*y - 1
Let u(t) = 400*t - 19. Let n(s) = -800*s + 41. Determine -6*n(c) - 13*u(c).
-400*c + 1
Let t(g) = -23*g**2. Let m(v) = 11*v**2. Let i(z) = -z**3 + 18*z**2 - 2*z + 39. Let f be i(18). Calculate f*t(x) + 7*m(x).
8*x**2
Let q(k) = -k + 1. Let n = 6 + -6. Suppose 2*o - 3*o - 5 = n, -3 = u + o. Let d(z) = -9 + 4*z**u - 4*z - 3*z**2 + 9*z + 4. Determine -d(r) - 6*q(r).
-r**2 + r - 1
Let t(p) = -4*p**2 + 58*p + 8. Let q(r) = 9*r**2 - 118*r - 18. What is 3*q(d) + 7*t(d)?
-d**2 + 52*d + 2
Let o(f) = -12*f - 338. Let t(z) = 5*z + 169. Give 2*o(p) + 5*t(p).
p + 169
Let h(d) = 25*d - 107. Let y(k) = 16*k - 72. Calculate 5*h(p) - 8*y(p).
-3*p + 41
Let f(o) = 2*o**3 + 6*o - 3. Let m(n) = -n**3 - 6*n + 2. Let p be 10/(-15)*(-27 - -24). Give p*f(v) + 3*m(v).
v**3 - 6*v
Suppose 0 = -5*a - 5*r + 15, 13*r - 3 = -a + 11*r. Let k(c) = -4*c**2 + 5*c + 23. Let t(v) = -2*v**2 + 3*v + 11. Determine a*k(h) - 5*t(h).
-2*h**2 + 14
Suppose 9*v = -27*v + 468. Let o(f) = -9*f**2 + 4*f. Let j(w) = -26*w**2 + 13*w. Determine v*o(u) - 4*j(u).
-13*u**2
Let g(x) = -315*x + 24. Let o(d) = 158*d - 11. Give -6*g(h) - 13*o(h).
-164*h - 1
Let z(r) = -40992*r**3 + 1342*r**2 - 671*r + 671. Let f(a) = 244*a**3 - 8*a**2 + 4*a - 4. Determine 671*f(d) + 4*z(d).
-244*d**3
Let w(y) = 5*y**3 - 3*y**2 + 2*y - 3. Let k(a) = a**2 + a + 1. Let x(d) = -9*d**3 + d**2 - 11*d + 1. Let p(f) = 6*k(f) + x(f). Determine -3*p(l) - 7*w(l).
-8*l**3 + l
Let w(c) = -4*c**2 - 4. Let a(l) = 2*l**2 + 2. Let q = 15 + 5. Let p be (-5)/(q/8) + 3. Let h = -2 - p. Give h*w(x) - 5*a(x).
2*x**2 + 2
Let q(l) = -9*l**3 - 7*l**2 - 7*l + 7. Suppose 0 + 6 = 2*i. Let y(v) = 3*v**2 - 1 - 2 + v + 2*v - 40*v**3 + 44*v**3. What is i*q(z) + 7*y(z)?
z**3
Let r(k) = -957*k**2 - 348. Let c(b) = b**2 - 2. What is -174*c(s) + r(s)?
-1131*s**2
Let m = -1084 - -1082. Let r(x) = x**2 - x. Let u(o) = -7*o**3 - 2*o**2 + 2*o. Determine m*r(f) - u(f).
7*f**3
Let i(g) be the third derivative of -g**6/120 + g**5/20 + 171*g**2. Let x(k) = k**3 - k**2 - 1. Suppose 0 = 4*f + 3 + 1. Determine f*i(j) - 2*x(j).
-j**3 - j**2 + 2
Let u(a) = -22*a. Let t(f) be the third derivative of -11*f**4/24 + 3*f**2 + 30*f. What is -7*t(j) + 3*u(j)?
11*j
Let y(u) = -u**2 - 2. Let s(w) = 6*w. Let d be s(-3). Let j = d + 33. Let x(c) = 2*c**2 - 21 - 4*c**2 - 4*c**2 + 6. What is j*y(f) - 2*x(f)?
-3*f**2
Let o(m) be the second derivative of m**2/2 + 16*m + 1. Suppose -j = -0*j + 5. Let h(a) = a - 5. Calculate j*o(r) - h(r).
-r
Let w(f) = 3 - 4*f**3 + 11*f**2 - 27*f**2 + 13*f**2. Let u(r) = r**3 + r**2 - r - 1. What is -3*u(c) - w(c)?
c**3 + 3*c
Let s(l) = 8*l**3 - 2*l - 1. Let z be s(-1). Let h = -453 - -444. Let c be z + h/(27/(-12)). Let u(y) = 2*y - 2. Let v(x) = -x + 2. What is c*v(d) - 2*u(d)?
-d - 2
Let a(i) = -61*i**2 + 8*i + 4. Let n(s) = 183*s**2 - 22*s - 11. Determine 11*a(o) + 4*n(o).
61*o**2
Let i(p) = 2*p - 3*p - p + p. Let o(l) = -l**3