Let k(q) = -7*q**2 + 99*q. Let c(o) = -o**2 + o. Determine 24*c(z) - 3*k(z).
-3*z**2 - 273*z
Let a(u) = 24*u - 2. Let t(k) = 36*k - 3. Let f(g) = -14*g**2 + 151*g + 25. Let x be f(11). What is x*a(m) + 5*t(m)?
-12*m + 1
Let k(g) = -2*g**2 - 19*g + 224. Let y(n) = -4*n**2 - 35*n + 446. Calculate 11*k(j) - 6*y(j).
2*j**2 + j - 212
Let h(c) = -5*c - 2. Let v(f) be the second derivative of 0 + 190*f - 5/2*f**2 - 7/3*f**3. What is 8*h(m) - 3*v(m)?
2*m - 1
Let j(y) = 5*y. Let u(k) = -8586*k + 351. Let q(t) = 245*t - 10. Let d(c) = 351*q(c) + 10*u(c). What is 2*d(s) - 55*j(s)?
-5*s
Let c(h) = -5*h**3 + 109*h**2 - 11*h - 10. Let o(y) = y**3 - 21*y**2 + 2*y + 2. Calculate -2*c(s) - 11*o(s).
-s**3 + 13*s**2 - 2
Let m(t) = 608*t**2 - 4*t - 2. Let y(s) = 2*s**2 - s - 1. Give -m(h) + 4*y(h).
-600*h**2 - 2
Let t(o) = -13*o + 298. Let r(q) = 22*q - 596. Determine -3*r(j) - 5*t(j).
-j + 298
Let j(b) be the first derivative of b**4/2 - 10*b**3/3 + 7*b**2/2 + 3*b - 1560. Let n(a) = a**3 - 7*a**2 + 5*a + 2. Give -5*j(s) + 7*n(s).
-3*s**3 + s**2 - 1
Let j(b) = -19*b + 43223. Let f(n) = 4*n - 8635. Determine 14*f(a) + 3*j(a).
-a + 8779
Let p(b) = -b + 1. Suppose 3076 = -4*s + 3088. Let d(k) = 9*k**2 + 3*k - 5. What is s*p(o) + d(o)?
9*o**2 - 2
Let x(b) = 11096*b**2 - 6*b + 6. Let w(v) = 321772*v**2 - 176*v + 176. What is 3*w(f) - 88*x(f)?
-11132*f**2
Suppose 10 = -2*i - 4*q + 24, -2*i - 16 = -q. Let f(r) = 11*r - 21. Let h(x) be the second derivative of 7*x**3/6 - 7*x**2 - 2*x. Give i*f(k) + 8*h(k).
k - 7
Let g(f) = f**3 + 10*f**2 + 31*f + 41. Let v be g(-2). Let z(y) = -8*y**3 - 4*y - 4. Let p(s) = 23*s**3 + 11*s + 11. What is v*z(q) + 4*p(q)?
4*q**3
Let p(v) = -136*v**3 + 170. Suppose 0*x - 2 = 2*x, 6*x = 4*c - 2. Let h(o) = -o**3 + 1. What is c*p(j) + 170*h(j)?
-34*j**3
Let t(c) = -7*c + 18. Let x(b) = -b + 5. Let n(q) = t(q) - 3*x(q). Let l(m) be the second derivative of 0 - 1/6*m**3 - 7*m + 1/2*m**2. Give -2*l(j) + n(j).
-2*j + 1
Let u(k) = 166*k. Let p(x) = -277*x. Let w(g) = 3*p(g) + 5*u(g). Let n(c) = -2*c - 1. Determine n(s) - w(s).
-s - 1
Let w(z) = z - 3. Let a(t) = 4*t + 3. Let h(p) = -19*p - 15. Let s(c) = 5*a(c) + h(c). What is 5*s(n) - w(n)?
4*n + 3
Let d(r) = r - 1. Let l(n) = 13*n - 3. Let u = -4125 - -4126. What is u*l(m) - 5*d(m)?
8*m + 2
Let w(r) = 6*r + 2. Suppose -5*p = 5*m - 15, -3*p - 6*m = -2*m - 7. Let y(i) = 7*i + 2. Calculate p*y(o) - 6*w(o).
-o - 2
Let m(c) = -c + 40. Let s(l) = 3*l - 384. Determine -9*m(o) - s(o).
6*o + 24
Let y(m) be the third derivative of m**4/12 + 5*m**3/6 + 2*m**2 - 17*m + 15. Let u(n) = n + 2. Calculate -11*u(q) + 4*y(q).
-3*q - 2
Let f(r) = -22*r**3 - 29*r**2 - 4*r + 27. Let h(m) = 67*m**3 + 80*m**2 + 11*m - 79. Calculate 11*f(g) + 4*h(g).
26*g**3 + g**2 - 19
Let i(w) = -1. Let p(a) be the first derivative of -a**4/24 + a**3/6 + a**2/2 + 15*a - 7. Let z(h) be the second derivative of p(h). Give -5*i(q) - z(q).
q + 4
Let b(z) = 3*z - 3. Let o(f) = 15*f - 14. Let j(x) = 33*b(x) - 6*o(x). Let d(m) = 74222 - 2*m - 74214 - 3*m. Give -11*d(y) - 6*j(y).
y + 2
Let p(f) be the first derivative of -3*f**4/4 + 2*f**3/3 + f + 615. Let i(d) = 117 - 4*d**2 - d**2 + 7*d**3 - 118. What is -2*i(a) - 5*p(a)?
a**3 - 3
Let a(m) = 5*m + 1. Let y(k) = -10*k - 1. Let b = -241 + 224. Let o = 12 + b. What is o*a(l) - 3*y(l)?
5*l - 2
Suppose 27 = -30*n + 27*n. Suppose 0 = -5*m + m + 2*u + 12, 13 = -3*m - 4*u. Let j(t) = 2 - 1 + t + m. Let h(s) = -5*s - 9. What is n*j(r) - 2*h(r)?
r
Let g(n) = 5*n**2 + 37*n + 19. Let d(x) = -9*x**2 - 76*x - 44. What is -4*d(l) - 9*g(l)?
-9*l**2 - 29*l + 5
Let r(f) = 13*f + 6. Let y(b) = b - 1. Let h = 313 + -312. What is h*r(a) + 5*y(a)?
18*a + 1
Let q(t) = -3744*t**2 + 429. Let d(x) = 71*x**2 + 12*x + 20. Let l(v) = -77*v**2 - 14*v - 24. Let r(c) = -7*d(c) - 6*l(c). What is -4*q(f) + 429*r(f)?
-39*f**2
Let y(n) = 6*n + 5. Let b(s) = s + 3. Calculate -6*b(g) + 2*y(g).
6*g - 8
Let v(x) = -926*x + 2. Let o(h) = 1856*h - 5. Calculate 4*o(p) + 9*v(p).
-910*p - 2
Let m(c) be the first derivative of -c**4/4 - c**3/3 + c - 2962. Let j(g) = -3*g**3 + g**2 + 2*g + 2. What is j(v) + m(v)?
-4*v**3 + 2*v + 3
Let x = 146 - 144. Let v(q) = 2*q**2 + x + 0*q**2 - 2*q - 4 + 3*q**3 + 0*q. Let f(g) = 10*g**3 + 7*g**2 - 7*g - 7. Calculate 4*f(i) - 14*v(i).
-2*i**3
Let x(u) = 2*u**3 + 23*u**2 + 11*u + 18. Let r be x(-11). Let t(f) = -f**2 + 6. Let d(o) = -4*o**2 + o**2 - 45 + 66. Calculate r*t(z) - 5*d(z).
-3*z**2 + 3
Let m(v) = 10*v + 3. Let z(s) be the third derivative of s**4/24 + s**3/6 + 22*s**2 - 2*s. Determine 2*m(x) - 6*z(x).
14*x
Let z(w) = -4*w**2 + 11*w - 1. Let s(t) = 4*t**2 + 2 + 7*t**2 + 442390*t - 442422*t. Give -3*s(h) - 8*z(h).
-h**2 + 8*h + 2
Let r(k) = -k - 1. Suppose 14*a + 17*a = -23 - 8. Let p(m) = -7*m**2 + 8*m + 6. What is a*p(t) - 6*r(t)?
7*t**2 - 2*t
Let c(y) = -3*y + 10. Let s be ((-6)/33)/((7/22)/(-7)). Let w(r) = 4*r - 11. What is s*w(d) + 5*c(d)?
d + 6
Let g(f) = -2*f**2 - 5*f. Let m = 22 + -34. Let n be (600/(-18))/10*m/(-10). Let d(r) = 3*r**2 + 6*r. Let b = 86 + -89. What is b*d(v) + n*g(v)?
-v**2 + 2*v
Let c(w) = 1. Let y(x) = 7 - 2 + 2 + x**2. Let h(p) = -p**2 + 14*p + 48. Let j be 2/5*(0 - (-85)/2). Let q be h(j). Calculate q*y(n) + 21*c(n).
-3*n**2
Let w(k) = 14*k**2 - 3*k - 3. Let l(h) = 6*h**2 - 2. Let u(j) = 49*j**2 - 8*j - 10. Let b(f) = l(f) - u(f). Determine 3*b(g) + 8*w(g).
-17*g**2
Let b(i) = -31*i**2 + 5*i. Let m(g) = 31*g**2 - 4*g. Let c = 4057 - 4062. Calculate c*m(f) - 4*b(f).
-31*f**2
Suppose 5*i - 5*l = -15, 0 = 2*i + 3*l + 100 - 119. Let b(r) = -4*r**3 + 3*r**2 + r - 5. Let a(v) = -2*v**3 + v**2 - 2. Determine i*b(f) - 5*a(f).
2*f**3 + f**2 + 2*f
Let y(z) = -3*z**2 - 41*z - 13. Let x(s) = -s**2 - 10*s - 3. Suppose -3*f - 184*t - 19 = -179*t, -4*f - 12 = 4*t. Give f*y(w) - 9*x(w).
3*w**2 + 8*w + 1
Let m(l) = 33*l**2 - 3*l + 5. Let g(x) = -415*x + 3 + 224*x + 16*x**2 + 189*x. Determine 5*g(p) - 3*m(p).
-19*p**2 - p
Let v(p) = 71*p**2 - 3*p + 6. Let z(b) = 212*b**2 - 7*b + 16. What is -8*v(a) + 3*z(a)?
68*a**2 + 3*a
Let h(m) = m + 2. Let b = 163 - 161. Let i(t) be the second derivative of -t**3/6 - t**2 + 7*t. Give b*h(y) + 3*i(y).
-y - 2
Let i(w) = -w**3 - 6*w**2 + 25*w + 151. Let a be i(-6). Let s(v) = 11*v**2 - 6*v + 5. Let l(t) = t - 1. What is a*s(r) + 4*l(r)?
11*r**2 - 2*r + 1
Let n(z) = 40*z + 54. Let t(d) = 18*d + 2. Calculate n(r) - 2*t(r).
4*r + 50
Let d(x) = 9*x**2 - 5*x - 7. Let c = 5 + -10. Let k(g) = 9*g - 13 - 12*g + 14*g**2 - 5*g - 3 + 5. Give c*k(j) + 8*d(j).
2*j**2 - 1
Let u(x) = x**2 + 5*x - 5. Let g(t) = 2*t**2 + 12*t - 12. Let b = 469 - 768. Let j = b + 311. Calculate j*u(y) - 5*g(y).
2*y**2
Let m(o) = 13*o - 15. Let v(i) = 6*i**3 - i**2 + 113*i - 112. Let g be v(1). Let j(l) = 7*l - 8. Determine g*m(b) - 11*j(b).
b - 2
Let y(o) = 7*o + 3. Let h(u) = -172 + 386*u + 174 - 380*u. Let m = -3 - 3. Let a = -8 - m. Determine a*y(j) + 3*h(j).
4*j
Suppose j + 13 = -2*m, -2*j + 326*m - 12 = 328*m. Let k(d) = d**3 - d. Let x(o) = -7*o**3 + 4*o + 2. What is j*x(s) + 4*k(s)?
-3*s**3 + 2
Let i(t) = 3105*t**3 - 4*t - 4. Let u(z) = 52785*z**3 - 69*z - 69. What is -69*i(g) + 4*u(g)?
-3105*g**3
Let v(a) = -31*a + 49. Let s(l) = -154*l + 255. What is 2*s(n) - 11*v(n)?
33*n - 29
Let r(w) = -39*w**2 - 36*w - 50. Let j(y) = y**2 + 12. What is -4*j(n) - r(n)?
35*n**2 + 36*n + 2
Let h(l) = -l**2 - l. Suppose 273*w = -3*p + 270*w - 9, 21 = -2*p + 3*w. Let y(k) = 5*k**2 + 3*k - 3. Calculate p*h(i) - 2*y(i).
-4*i**2 + 6
Let x = -125 - -133. Let y(l) = 3*l**2 - 67*l + 27. Let a be y(22). Let i(f) = 6*f - 11. Let z(t) = -4*t + 7. Give a*i(m) + x*z(m).
-2*m + 1
Let c(b) = -3*b**2 - 6*b + 89. Let j(a) = 19*a**2 + 32*a - 445. Calculate -11*c(d) - 2*j(d).
-5*d**2 + 2*d - 89
Let y(t) = 58*t - 6. Let h(g) = -176*g - 161*g + 5 - 145*g + 424*g. What is -6*h(c) - 5*y(c)?
58*c
Let x(v) = -v + 1. Suppose -734 + 1732 = 2*i. Let q = i + -507. Let r(b) = -2*b + 3. Determine q*x(a) + 3*r(a).
2*a + 1
Let a(j) = -5042*j**2 + 32*j - 8. Let x(g) = 25209*g**2 - 156*g + 39. Determine -39*a(z) - 8*x(z).
-5034*z**2
Let z(h) = 13*h**2 + 7. Let m = 73 + -112. Let x = m + 44. Let y(g) = 7*g**2 + 4. Calculate x*y(j) - 3*z(j).
-4*j**2 - 1
Let d(o) = -2*o**2 - 41*o + 14. Let m(q) = -q**2 - 34*q + 16. Give 5