s*n(d) + 7*t(d)?
2*d + 1
Let r(a) = -841*a + 6. Let z(j) = -843*j + 8. What is -3*r(y) + 2*z(y)?
837*y - 2
Let k(g) = -37*g + 1. Let x(u) = -192*u + 10. What is -5*k(d) + x(d)?
-7*d + 5
Suppose 0 = -47*f - 110*f - 48*f - 1025. Let x(l) = -6*l - 2. Let r(n) = -11*n - 5. Determine f*x(v) + 3*r(v).
-3*v - 5
Let c(g) = -1550*g**3 - 125. Let v(n) = -12*n**2 - 17*n**3 + 7*n**3 - 2 + 12*n**2 - 15*n**3. Determine -2*c(j) + 125*v(j).
-25*j**3
Let q(l) = 17. Let m(s) = -210. Let d(x) = -2*m(x) - 25*q(x). Let h(u) be the first derivative of u**2/2 + 6*u + 7. Give 6*d(p) + 5*h(p).
5*p
Let y(h) be the second derivative of 11*h**4/3 - 7*h**3/3 - 7*h**2 + 2*h. Let p(u) = 3 - 3*u - 6 - 25720*u**2 + 25729*u**2. Determine -14*p(l) + 3*y(l).
6*l**2
Let i(p) = 284*p**3 + 11*p - 26. Let q(x) = -71*x**3 - 3*x + 7. Determine -6*i(f) - 22*q(f).
-142*f**3 + 2
Let r(q) = -2*q**3 - q. Let d(w) be the first derivative of w**4/2 - w**3/3 + w**2/2 + 1006. Give -3*d(i) - 2*r(i).
-2*i**3 + 3*i**2 - i
Let s(g) = 6*g**3 - 14*g**2 - 723*g - 21. Let j(n) = 3*n**3 - 8*n**2 - 361*n - 12. Calculate -7*j(b) + 4*s(b).
3*b**3 - 365*b
Let c(f) = -7*f**2 - 5*f - 2. Let y(a) = -7*a**2 - 6*a - 3. Let o(b) = -253*b - 761. Let j be o(-3). What is j*y(s) + 3*c(s)?
-7*s**2 - 3*s
Let a(c) be the third derivative of -c**6/120 + c**5/20 - 5*c**3/3 + 5191*c**2. Let b(d) = 2*d**3 - 4*d**2 + 11. Give 5*a(v) + 4*b(v).
3*v**3 - v**2 - 6
Let l(o) = -1. Let f(u) = 731*u + 0 + 3 - 379*u - 1 - 387*u. What is -f(v) - 2*l(v)?
35*v
Let m(r) be the first derivative of r**2/2 - 5*r + 159. Suppose 4*i = -2*f - 4, 8*f + 17 = 13*f + i. Let o(x) = -3 - 3 + 2*x + 0*x. Calculate f*o(v) - 5*m(v).
3*v + 1
Let u(w) = -11*w + 17. Suppose -f - 4 = -3*g - 28, -2*g = -3*f + 44. Let v = -43 + 37. Let k = f + v. Let m(c) = -4*c + 6. Give k*u(n) - 17*m(n).
2*n
Let b = -165 + 225. Let v(t) = b - 39 + 4*t - 29. Let j(f) = -1. Give 8*j(k) - v(k).
-4*k
Let j(l) be the second derivative of -l**3/6 - 2*l. Suppose -m - 2 = i, -317*m + 320*m - 4*i + 13 = 0. Let n(s) = -2*s. What is m*n(f) + 7*j(f)?
-f
Let l(y) = -8*y**3 + 4*y + 36. Let i(f) = -18*f**3 + 9*f + 84. What is 6*i(w) - 14*l(w)?
4*w**3 - 2*w
Let i(o) = -o + 5. Let q(f) = -167*f + 21. Give -4*i(p) + q(p).
-163*p + 1
Let i(h) = 3*h**3 + 5*h**2 - 26*h + 5. Let y(g) = -g**3 - 2*g**2 + 13*g - 2. Let l be (12/(-9))/((-4)/(-6)). Calculate l*i(j) - 5*y(j).
-j**3 - 13*j
Let d(z) = -30*z + 4. Let s(m) = -1003*m - 17*m + 195 - 60. Give 135*d(k) - 4*s(k).
30*k
Let i = -220 + 129. Let w(o) = 15*o**2. Let l = -1552 - -1550. Let k(d) = -676*d**2. Give i*w(v) + l*k(v).
-13*v**2
Let r(k) = -1053*k**2 - 10*k + 8. Let j(p) = 352*p**2 + 3*p - 2. Calculate 7*j(x) + 2*r(x).
358*x**2 + x + 2
Let j(a) = 5*a**3 - 5*a**2 - 3*a - 4. Let u(r) = -r**3 + r + 1. Suppose -37 = -12*n + 23. Suppose 2*q - 6 = 4*c, -n*q + 7*q = c + 3. Determine c*j(v) - 4*u(v).
-v**3 + 5*v**2 - v
Let r(m) = 20*m**3 + 7*m**2 + 276*m + 2. Let v(h) = 2*h**3 + 2*h. Determine r(d) - 9*v(d).
2*d**3 + 7*d**2 + 258*d + 2
Let k(f) = f**2 - f**3 - 299*f + 1 - 367*f + 667*f. Let w(h) = -3*h**3 + 7*h**2 + 7*h + 4. Calculate -4*k(c) + w(c).
c**3 + 3*c**2 + 3*c
Suppose 0*h + 24 = -4*h. Let u be ((-30)/h)/(-4 + 3). Let q(c) = 11*c**2. Let f(j) = 12*j**2. Give u*f(z) + 6*q(z).
6*z**2
Let p(q) = -8*q**2 + 12*q - 2. Let n(i) = -4*i**2 + i - 1. Calculate -3*n(f) + p(f).
4*f**2 + 9*f + 1
Let o(l) = -l**2 + l - 1. Let s(b) be the first derivative of 3*b**4/4 - b**3/3 - b**2 + 2*b + 2310. Determine -2*o(j) - s(j).
-3*j**3 + 3*j**2
Let i(w) = -32*w + 343. Let c(v) = -111*v + 1031. Determine -2*c(k) + 7*i(k).
-2*k + 339
Let i(n) = 58*n**2 - n + 4. Let a(u) = -7*u**2 - u - 1. Determine -3*a(w) - i(w).
-37*w**2 + 4*w - 1
Let n(a) = 8*a**3 + 80. Let x(z) = -2*z**3 - 20. Let t(h) = 6*n(h) + 26*x(h). Let g(i) = i**3 + 8. What is -14*g(q) - 3*t(q)?
-2*q**3 + 8
Let m(w) = 6*w**2 - 15 - 6*w - 6 + 32 - 12. Let x(a) = 7*a**2 - 7*a - 2. Calculate 6*m(i) - 5*x(i).
i**2 - i + 4
Let u(f) = -5*f - 16. Let w(p) = -5*p - 22. What is 4*u(r) - 5*w(r)?
5*r + 46
Let m(d) = -1328*d**2 - 11. Let k(l) = 2664*l**2 + 24. Give -6*k(n) - 13*m(n).
1280*n**2 - 1
Let d(l) = 2*l**2 - 9*l + 5. Let k(v) = -2*v**2 + 13*v - 6. Determine 7*d(c) + 5*k(c).
4*c**2 + 2*c + 5
Let x(t) = t**2 - 1009*t + 24. Let b(k) = -k**2 + 1011*k - 20. Determine 6*b(i) + 5*x(i).
-i**2 + 1021*i
Let a(d) = 6*d + 4. Let k(q) = -2*q + 3. Let w(c) = -3*c + 5. Let r(m) = -8*k(m) + 5*w(m). Suppose 31*v = 7*v - 264. Determine v*r(b) + 2*a(b).
b - 3
Let k(t) = 32*t + 167. Let p be k(-16). Let r = p + 349. Let a(h) = 2*h**3 + 2*h**2 - h + 4. Let o(z) = -z**3 + 1. Calculate r*o(j) - a(j).
-6*j**3 - 2*j**2 + j
Let o(j) = 7*j**2 + 552*j + 8. Let f(v) = 2*v**2 + 3. What is -3*f(b) + o(b)?
b**2 + 552*b - 1
Let t(g) = -100*g**2 - 188*g + 11. Let s(j) = -j**2 + 38*j - 1. Give 5*s(v) + t(v).
-105*v**2 + 2*v + 6
Let a = 160 - 160. Let x(r) = a + 1 - 4*r - 1. Let g(t) = 9*t. Let u(q) = -q - 2. Let v be u(-5). What is v*g(m) + 7*x(m)?
-m
Suppose -5*a - 9 = 1, -56 = -2*r + a. Let k = 29 - r. Let i(j) = j. Let c(b) = -2*b + 541*b**2 + 3*b - b**3 - 541*b**2 - 2 + 0. Give k*i(s) - c(s).
s**3 + s + 2
Let r = -69 + 51. Let h = -20 - r. Let s(j) = 5 - 33*j - 4 + 31*j. Let c(g) = -g**2 - 6*g + 4. Give h*c(v) + 7*s(v).
2*v**2 - 2*v - 1
Suppose -6644*x = -6410*x - 936. Let n(b) = -1 + 0*b**2 - b**3 - b + 0*b**2. Let g(r) = -4*r - 3. Determine x*n(i) - g(i).
-4*i**3 - 1
Let s(d) = -d - 1. Let p(f) = -2*f**2 - 18*f - 18. Let q(r) = r + 3. Let j be q(-3). Let h be j + ((-3)/(-1) - 28). Let o = h - -27. What is o*p(y) - 36*s(y)?
-4*y**2
Let m(s) = -23*s**2 - 4*s - 8. Let b(f) = -6*f**2 - f - 2. Let w(x) = 4*b(x) - m(x). Let t(h) = 22*h**3 - 55*h**2. Determine -t(q) + 55*w(q).
-22*q**3
Let s(u) = -9*u + 16. Let x(v) = -2*v + 3. Let o = -163 - -425. Suppose 5*i = -o + 252. Determine i*s(m) + 11*x(m).
-4*m + 1
Let f = 35 + -31. Suppose -3*h = -f*w - 11 - 62, -2*w + 134 = 4*h. Let z = h - 39. Let d(k) = 2*k**3 - 2*k. Let a(q) = 6*q**3 - 6*q. Give z*d(m) + 3*a(m).
2*m**3 - 2*m
Let i(h) = -3*h**2 + h + 7. Let s(v) = 8 + 7 + 232*v**2 - 120*v**2 - 119*v**2 + 3*v. Give -5*i(z) + 2*s(z).
z**2 + z - 5
Let u(w) = -4*w**3 - 3*w**2 + w. Let d(q) = q**3 + q**2 + q. Let n = -5685 - -5684. What is n*d(b) + u(b)?
-5*b**3 - 4*b**2
Let z(g) = -19966*g - 18. Let p(f) = -4992*f - 4. Calculate -9*p(o) + 2*z(o).
4996*o
Let t = 908 - 909. Let d(g) = 2*g + g - 8 + 2 + 0*g. Let b(n) = -n + 1. Determine t*d(p) - 5*b(p).
2*p + 1
Let n(p) = -17*p**2 + 3. Let k(a) = 17*a**2 - 2. Let r be (-2)/(-20) - (-2261)/1190. Give r*n(g) + 3*k(g).
17*g**2
Let w(q) = -58*q**3 + 11*q**2 + 11. Let k(c) be the third derivative of -19*c**6/120 + c**5/15 + 2*c**3/3 + 4289*c**2. Give -11*k(o) + 4*w(o).
-23*o**3
Let w(c) = 7*c**3 + 9*c**2 + 45*c + 2408. Let l(t) = -t**3 - t**2 - 5*t - 1. What is -9*l(g) - w(g)?
2*g**3 - 2399
Let q(n) = -6*n**3 + 3*n**2 - 2*n - 25. Let t(x) = -6*x**3 + 4*x**2 - 3*x - 25. Determine -4*q(a) + 3*t(a).
6*a**3 - a + 25
Let l(p) = 23*p + 71. Let x(u) = -5*u - 24. Determine 4*l(n) + 13*x(n).
27*n - 28
Let r(t) = 5*t**3 + 2*t**2 + 2*t + 4. Let k(u) = 26873 - 2*u - 53760 - 2*u**2 - 6*u**3 + 26883. Calculate -3*k(o) - 4*r(o).
-2*o**3 - 2*o**2 - 2*o - 4
Let f(z) = 3*z**3 - 4*z**2 - 92*z + 54. Let n be f(6). Let x(y) = -7*y**2 + 3*y + 1. Let p(a) = -a. Calculate n*p(w) + x(w).
-7*w**2 - 3*w + 1
Let c(z) = 1356*z + 21. Let x(i) = -201*i - 3. Let v(s) = -4*c(s) - 27*x(s). Let y(o) = -11*o + 13. What is -9*v(l) - 2*y(l)?
-5*l + 1
Let a(u) = 808*u**3 - 6*u**2 - 3*u + 6. Let o(g) = 1523080*g**3 - 11312*g**2 - 5656*g + 11312. What is -5656*a(x) + 3*o(x)?
-808*x**3
Let l(a) = 10*a - 72. Let y be l(7). Let k(h) = 2*h**2 - 2. Let c(o) = -o**3 + o**2 - 1. Determine y*c(t) + k(t).
2*t**3
Suppose -89*r = -30*r - 5664. Suppose -12*d = 20*d - r. Let i(k) = -3*k**3 - 6*k - 5. Let y(w) = 2*w**3 + 3*w + 3. Determine d*i(o) + 5*y(o).
o**3 - 3*o
Let h(p) be the first derivative of -3*p**2/2 - 2*p - 921. Let t(n) = n**2 - 7*n - 4. Determine 7*h(y) - 3*t(y).
-3*y**2 - 2
Let v(c) = -11*c**3 - c**2 + 4*c. Let s(g) = 32*g**3 + 3*g**2 - 11*g. Let q(u) = -19*u + 180. Let x be q(7). Let b = -51 + x. What is b*s(w) - 11*v(w)?
-7*w**3 - w**2
Let k(j) = j. Let m(t) = -t**3 - 6*t - 4. Suppose 