t b(k) = -k + 1. What is 5*b(f) + u(f)?
-f**2 + 11*f
Let c(i) = 28*i**3 - 25*i**2 - 41*i - 107. Let d(h) = 15*h**3 - 11*h**2 - 18*h - 54. Give 4*c(x) - 9*d(x).
-23*x**3 - x**2 - 2*x + 58
Let x(p) = -4*p**3 + 3*p**2 - 19*p - 3. Let j(i) = -57*i - 24*i**3 + 14*i**2 - 8 - 6*i**2 + 29*i**3 - 16*i**3. What is 3*j(h) - 8*x(h)?
-h**3 - 19*h
Let u(q) = 38*q**3 - 6*q**2 + 20. Let j(f) = 13*f**3 + 6*f**2 - 33. Let w(r) = -13*r**3 - 7*r**2 + 38. Let m(i) = 9*j(i) + 8*w(i). What is 17*m(n) - 6*u(n)?
-7*n**3 + 2*n**2 - 1
Let x(j) = 222*j - 27. Let i(r) = -88*r + 11. Calculate 12*i(q) + 5*x(q).
54*q - 3
Let x(a) = 14*a**2 + 25*a - 1170. Let y(d) = 22*d**2 + 40*d - 1754. What is -8*x(u) + 5*y(u)?
-2*u**2 + 590
Let z be (-6)/9*-15*(81/(-18))/(-9). Let h(r) = -5*r - 4. Let m(j) = -7*j - 6. Determine z*m(a) - 8*h(a).
5*a + 2
Let h(x) = x**2 + 1. Let a be 0 + -6 - (-48)/6. Let w(s) = -s**2 + 78138*s + 4*s**2 - a - 78140*s. What is 2*h(m) + w(m)?
5*m**2 - 2*m
Let o(a) be the third derivative of a**4/24 + a**3/6 + 2761*a**2 - 1. Let c(v) = -13*v + 1. What is c(m) - 2*o(m)?
-15*m - 1
Let g(h) = -h**2 + 579*h + 6. Let j(o) = 575*o + 4. What is 2*g(t) - 3*j(t)?
-2*t**2 - 567*t
Let z(p) = 882*p**3 + 16*p**2 + p + 4. Let l(d) = -2647*d**3 - 44*d**2 - 3*d - 11. Calculate -4*l(w) - 11*z(w).
886*w**3 + w
Let s(d) = -5*d**2 + 8*d - 8. Let j(i) = i**2 - i + 1. Suppose -3 = 3*y - 2*y. Let q(b) = -b**3 - 3*b**2 + 18*b - 24. Let f be q(-6). Give f*j(g) + y*s(g).
-9*g**2
Let j(h) = -18*h**2 - 55*h + 6. Let v(g) = -g**2 + g + 1. Determine -j(o) + 6*v(o).
12*o**2 + 61*o
Let a(p) = 264*p. Let i(c) = -145*c + 11. Let n(u) = 107*u - 8. Let v(w) = 8*i(w) + 11*n(w). Let g(q) = -5*q + 33. Let s be g(22). Give s*v(d) + 5*a(d).
11*d
Let f(b) be the third derivative of -b**5/3 - 10*b**3/3 - 3*b**2. Let c be (-35)/(-2)*(-16)/(-20). Let d(q) = -7*q**2 + 6 - 25 + 12. Give c*d(g) - 5*f(g).
2*g**2 + 2
Let m(k) = -k**3 + k**2. Let v(w) be the first derivative of 3*w**4/4 - 4*w**3/3 - 30*w + 1445. What is 4*m(j) + v(j)?
-j**3 - 30
Let m(q) = q - 57. Let t(x) = -2850*x + 5700. Determine -100*m(k) - t(k).
2750*k
Let z(m) = -3*m**3 - 4*m**2 + 5*m + 4. Let q = 3349 + -3340. Let b(x) = -7*x**3 - 9*x**2 + 11*x + 9. What is q*z(v) - 4*b(v)?
v**3 + v
Let x(w) = 3*w**3 + 3. Let g = -1076 + 1079. Let n(v) be the second derivative of -v**2 + 0*v**g - 3/20*v**5 + 0 + 0*v**4 - 15*v. Calculate 3*n(f) + 2*x(f).
-3*f**3
Let h(l) = 17*l**3 + 9*l**2 + 8*l + 10. Let t(c) = 11*c**3 + 8*c**2 + 7*c + 8. What is 4*h(v) - 5*t(v)?
13*v**3 - 4*v**2 - 3*v
Suppose 3*f - 2*j = 9, 58*f - 3*j = 62*f + 22. Let g(m) = 5*m**3 - 7*m**2 + m - 1. Let r(w) = w**3 + w. Calculate f*g(b) + 3*r(b).
-2*b**3 + 7*b**2 + 2*b + 1
Let k(b) = b**2 - b + 3. Let p = -25 - -30. Let a(f) = -p - 104*f**2 + 103*f**2 + 8*f - 6*f. Calculate 3*a(i) + 5*k(i).
2*i**2 + i
Let i(j) = -25*j**3 - 6*j**2 - 13*j - 403. Let p(z) = 36*z**3 + 8*z**2 + 18*z + 604. Determine -7*i(d) - 5*p(d).
-5*d**3 + 2*d**2 + d - 199
Let b(v) = -76*v + 17. Let c(x) = -80*x + 18. Give 4*b(j) - 3*c(j).
-64*j + 14
Let b(a) = 333*a - 66. Let f(v) = 669*v - 165. Give -15*b(o) + 6*f(o).
-981*o
Let q(s) = 6 + 5 + s**2 - 4 - 8. Let h(p) = -p**2 - 3*p + 2. Suppose -3*u = -r - 8, -21*r = 5*u - 16*r. Calculate u*q(w) + h(w).
w**2 - 3*w
Let v(r) = 2*r**3 - r**2 + r - 2. Let c(w) = 9*w**3 - 3*w**2 + 22*w - 9. What is -2*c(q) + 6*v(q)?
-6*q**3 - 38*q + 6
Let f(d) = 68*d**2 - 37 - 31 + 68*d + 700*d**3 + 524*d**3 - 672*d**3. Let a(g) = 24*g**3 + 3*g**2 + 3*g - 3. What is -136*a(o) + 6*f(o)?
48*o**3
Let t(w) = 8*w - 2. Let u(n) = -18*n**2 + 31*n - 5. Let z(m) = 4*t(m) - u(m). Let q(k) = 19*k**2 + k - 4. Calculate -3*q(h) + 4*z(h).
15*h**2 + h
Let x(r) = -r**3 - r**2 + 3*r + 4. Let o(y) = -3*y**3 - 2*y**2 + 7*y + 9. Suppose -26*n + 220*n = -15*n + 418. Give n*o(h) - 5*x(h).
-h**3 + h**2 - h - 2
Let l(u) = -u**3 + u**2 + u + 1. Let a(w) = -w**3 + 2*w**2 + 15*w + 2. Suppose -36 + 46 = -49*f - 39. Calculate f*a(k) + 2*l(k).
-k**3 - 13*k
Let h(o) = o**2 + 1. Let w(z) = 11*z**2 + 4*z + 7. Let g(d) = -9*h(d) + w(d). Let k(i) = i**2 + 5*i - 3. Determine 4*g(n) - 3*k(n).
5*n**2 + n + 1
Let b(v) = 52*v + 15. Let t(m) = 58*m + 11. Calculate 2*b(i) - 3*t(i).
-70*i - 3
Let l(z) = 6*z**3 - 202*z**2 + 16. Let m(b) = 24*b**3 - 807*b**2 - b + 71. What is -9*l(i) + 2*m(i)?
-6*i**3 + 204*i**2 - 2*i - 2
Let q(a) = 6*a**3 - 8*a**2 + 8*a + 17. Let v(x) = 5 - 3*x**2 + 1 - x**3 + 0 + 3*x + 3*x**3. Let t(b) = -51*b - 620. Let d be t(-12). What is d*v(w) + 3*q(w)?
2*w**3 + 3
Let z(i) = i. Suppose 0 = -3*f - 4*r + 5, 4*r = -3*f + 2*f - 1. Suppose -f*k = -5*b + 28, 0*b = k - b + 6. Let q(v) = -8*v - 1. Determine k*q(c) - 6*z(c).
2*c + 1
Let v(s) = 4*s**2 + 15*s + 6. Let o(h) be the third derivative of h**5/20 + 7*h**4/12 + 5*h**3/6 + 545*h**2 - 2. Give -6*o(i) + 5*v(i).
2*i**2 - 9*i
Suppose -10*m + 16*m + 216 = 0. Let d = m + 33. Let l(p) = 10*p**3 + 3*p**2 + 3*p - 3. Let r(f) = 29*f**3 + 8*f**2 + 8*f - 8. Calculate d*r(y) + 8*l(y).
-7*y**3
Let g(s) = -54*s - 269. Let c(p) = 19*p + 90. Give -8*c(l) - 3*g(l).
10*l + 87
Let c(u) = 5*u. Let s(d) = 6*d. Let r be 6/3 + (0 - 1) - -30. Suppose -9*a = -r + 4. Determine a*s(x) - 4*c(x).
-2*x
Suppose -7891389 + 7891377 = 6*c. Let k(j) be the first derivative of -j**2/2 - j + 1. Let u(s) = -3*s**3 - s**2 + s + 2. Give c*k(f) - u(f).
3*f**3 + f**2 + f
Let f(n) = -42*n**2 + 17*n + 15. Let r(i) = 47*i**2 - 15*i - 13. Calculate -6*f(j) - 7*r(j).
-77*j**2 + 3*j + 1
Let y(m) = -m**2 + 2. Let j be y(-3). Let v(d) = -d + 6 + 2*d - 2*d - 2*d - 13*d**2 + 3*d**2. Let u(h) = -7*h**2 - 2*h + 4. What is j*u(b) + 5*v(b)?
-b**2 - b + 2
Let t(u) = 4*u**3 - 2*u**2 + 4*u. Suppose 62*y = 116 + 70. Let c(w) = 5*w**3 - 3*w**2 + 3*w - 1. What is y*t(b) - 2*c(b)?
2*b**3 + 6*b + 2
Let y(z) = 5*z**2 - 4*z + 45. Let h(u) = -u - 9. Give 5*h(m) + y(m).
5*m**2 - 9*m
Let i(l) = -18*l**3 - 3*l**2 - 5. Let h(r) = 19*r**3 + 4*r**2 + 6. Suppose 6*j - 4 + 19 = -3. Give j*h(f) - 4*i(f).
15*f**3 + 2
Let p(d) be the first derivative of -11*d**3/6 - 112*d - 34. Let t(q) be the first derivative of p(q). Let g(w) = -w. Calculate -4*g(k) + t(k).
-7*k
Let m(z) = 6*z**2 + 4*z - 5. Let i be (-10)/4 + (-6)/12. Let p be 360/14 - 6/(-21). Let x be 18/24 - p/(-8). Let h(v) = 5*v**2 + 3*v - 4. Give i*m(k) + x*h(k).
2*k**2 - 1
Let o(w) = -45*w**2 - 7*w + 47. Let v(j) = -23*j**2 - 4*j + 24. Give 4*o(k) - 7*v(k).
-19*k**2 + 20
Let z(h) = 15*h**2 - 11*h. Suppose -j - 19 = -2*y, 5*y = -3*j + 2*j + 9. Let a(w) = 16*w**2 - 6*w**2 - 8*w**2 + 6*w - 10*w**2 + 0*w. Give j*a(n) - 6*z(n).
-2*n**2
Let n(m) = 26*m**3 - 15*m**2 + 2*m + 9. Let x(a) = 3*a**2 - 4. What is n(l) + 5*x(l)?
26*l**3 + 2*l - 11
Let r(n) = 71*n - 1. Suppose 2321 = 162*f + 49*f. Let p(z) = 14*z. Give f*p(h) - 2*r(h).
12*h + 2
Let t(g) = -g + 1. Let c(s) = -106*s + 2*s**2 + s**2 + 55*s + 55*s. What is -c(k) - 5*t(k)?
-3*k**2 + k - 5
Let l(u) = u**3 + u**2 + u + 1. Let f(k) be the first derivative of k**3 + 3*k**2/2 + 3*k + 1419. Calculate -5*f(v) + 15*l(v).
15*v**3
Let d be 61/(-122) + (-2)/4. Let r(m) = -m**2 - m - 1. Let z(b) = -91*b**2 - 78*b - 78. Give d*z(w) + 78*r(w).
13*w**2
Let r(s) = 11*s**2 - 3*s + 18. Let g(i) be the first derivative of 7*i**3/3 - i**2 + 12*i + 1021. Determine 8*g(x) - 5*r(x).
x**2 - x + 6
Suppose 5*g + 0 = 4*z + 6, -5*z - 5 = -5*g. Let q(a) = 4*a + 2*a**3 + z - 7*a - a. Let i(b) = -3*b**3 + 5*b - 1. What is 4*i(n) + 5*q(n)?
-2*n**3 + 1
Let t(r) = -15*r**3 + 115*r**2 + 10. Let d(c) = 44*c**3 - 344*c**2 - 28. Determine -6*d(h) - 17*t(h).
-9*h**3 + 109*h**2 - 2
Let m(k) = -k**2 - 1. Let j(a) = -3*a**2 - 2. Suppose 5*b + 8 = -4*u, -27*b - 4 = 2*u - 25*b. What is u*m(y) - j(y)?
5*y**2 + 4
Let r(g) = 28*g - 1. Let x(p) = 220*p - 5. Calculate -6*r(h) + x(h).
52*h + 1
Let y(q) = 58*q - 34. Let c(k) = -4*k + 9. What is 6*c(a) + y(a)?
34*a + 20
Let s(v) = 2*v**3 + 2*v**2 - 2*v - 18. Let g(w) = w**3 + w**2. Suppose 0 = 117*f - 257 - 211. Give f*g(t) - s(t).
2*t**3 + 2*t**2 + 2*t + 18
Let y(q) = 25*q - 3. Let s(o) = -49*o + 5. Let i = 3622 + -3626. Give i*s(u) - 7*y(u).
21*u + 1
Let c(y) = -48*y**2. Let v(n) be the third derivative of -7*n**5/60 - n**2. Suppose -3*p - 106 = 371. Let j = -156 - p. Determine j*c(b) - 20*v(b).
-4*b**2
Let d(a) = 5*a - 57. Let 