 - 1. Calculate t*a(h) - 4*u(h).
-2*h - 2
Suppose 408*t - 38 = 427*t. Let g(k) = k**2 + 2*k + 2. Let x(s) = 2*s**2 + 5*s + 3. Determine t*x(y) + 5*g(y).
y**2 + 4
Let g(w) be the third derivative of w**4/24 - 1748*w**2. Let i(j) = j**3 - j**2 - 6*j - 1. Determine -6*g(h) - i(h).
-h**3 + h**2 + 1
Let b(r) = -64*r. Let c(y) = -1990*y + 4047*y - 2058*y. Calculate b(f) - 5*c(f).
-59*f
Let v(q) = -3*q**2 - 18*q - 2. Let i(h) = h**2 + 9*h + 1. Let m(y) = -2*y**3 + 9*y**2 + 92*y - 439. Let g be m(6). Determine g*i(t) + 3*v(t).
-4*t**2 - 9*t - 1
Let l(u) = 728*u - 8. Let m(h) = -362*h + 3. Calculate 3*l(z) + 7*m(z).
-350*z - 3
Let u(q) be the first derivative of 0*q + 118 + 1/3*q**3 + 3/2*q**2. Let v(x) = x**2 + 4*x. Give 5*u(a) - 4*v(a).
a**2 - a
Let c(a) = 4*a - 9. Let b = -193 + 199. Let x(i) = 3*i - 8. Suppose 20 = -5*h + h. Let n(k) = b*x(k) + h*c(k). Let m(o) = 1. Calculate -4*m(w) - n(w).
2*w - 1
Let b(h) = -66*h**2 - 759*h + 3. Let m(y) = -79*y**2 - 761*y + 4. Give -6*b(s) + 5*m(s).
s**2 + 749*s + 2
Let i(w) = w**2 + 1. Let n(k) = k**3 + k**2 - 40*k + 10. Let d be n(6). Let v(u) = 12*u**2 - 1. Give d*i(s) - 2*v(s).
-2*s**2 + 24
Let x(j) = -24*j**2 + 7*j - 7. Let t(r) = -152*r + 3483. Let b be t(23). Let o(l) = -47*l**2 + 15*l - 15. What is b*x(g) + 6*o(g)?
30*g**2 - g + 1
Let a(q) = 2*q**2 + 13*q - 7. Let p be 56/(-64)*2*(15 - 11). Let v(s) = 2*s**2 + 14*s - 8. What is p*a(h) + 6*v(h)?
-2*h**2 - 7*h + 1
Let a = -30 + 32. Let f(c) = -5*c - c**2 - c + 3*c**3 - 5 + 4 - 2*c + 6*c. Let y(v) = 4*v**3 - 3*v - 1. Determine a*y(g) - 3*f(g).
-g**3 + 3*g**2 + 1
Let q(n) = 44*n - 14. Let t(z) = -256*z + 84. Determine -13*q(k) - 2*t(k).
-60*k + 14
Suppose 190 = 1578*f - 1540*f. Let m(a) = -3*a**2 + 5*a - 3. Let b(h) = -10*h**2 + 7*h - 4. Let i(r) = -r**2. Let t(v) = -b(v) + 6*i(v). Give f*t(z) + 7*m(z).
-z**2 - 1
Let a(u) = 51. Let p(w) = -6340*w + 154. Determine 3*a(d) - p(d).
6340*d - 1
Let k(l) = 6*l**3 - 370*l**2 - 2*l. Let o(d) = -13*d**3 + 720*d**2 + 5*d. Calculate -5*k(c) - 2*o(c).
-4*c**3 + 410*c**2
Let u(i) = -4875*i**2 - 338. Let w(g) = -58*g**2 - 4. Give 6*u(y) - 507*w(y).
156*y**2
Let f(q) = -47*q + 73. Let s(k) = -22*k + 41. Give -2*f(y) + 5*s(y).
-16*y + 59
Let j(u) = -11*u**2 - 212*u + 20. Let h(w) = -8*w**2 - 207*w + 19. Calculate 3*h(d) - 2*j(d).
-2*d**2 - 197*d + 17
Let t(y) = -8*y**2 + 7*y + 1315. Let f(u) = -13*u**2 + 11*u + 1976. Determine 5*f(z) - 8*t(z).
-z**2 - z - 640
Let l(y) = 16*y. Let v(d) = -154*d - 22. Determine -8*l(r) - v(r).
26*r + 22
Let r(c) = -4 + 2 - c + 6*c. Suppose 1050*u - 1054*u = -28. Let s(k) = 4*k - 2. Determine u*s(v) - 6*r(v).
-2*v - 2
Let j(o) = -6*o**2 - 15. Let w(y) = -2*y**2 - 3*y - 5. Let u(z) = 4*z**2 + 7*z + 10. Let p(i) = -3*u(i) - 7*w(i). Determine -4*j(q) - 11*p(q).
2*q**2 + 5
Let j(m) be the second derivative of -61*m**3/2 - 15*m**2/2 + 1649*m + 1. Let o(r) = 26*r + 2. Give -2*j(i) - 15*o(i).
-24*i
Let a be -17 - ((-19)/1 + 7). Let s(v) = 32 - 63 + v + 31. Let y(r) = 5*r - r**2 + 3*r**2 - 5*r**2. Give a*s(f) + y(f).
-3*f**2
Let y(w) be the third derivative of 0 + 0*w**4 - 1/60*w**5 + 52*w**2 + 1/40*w**6 + 0*w**3 + 0*w. Let c(o) = o**3 - o**2. What is -4*c(n) + 4*y(n)?
8*n**3
Let w(r) = 2*r**2 - 2*r - 3. Let v(t) = 3*t**2 + 219 - 444 + t**2 + 0*t + 218 - 4*t. Calculate -4*v(q) + 9*w(q).
2*q**2 - 2*q + 1
Let o(t) = 367*t**2 - 141*t + 2. Let w(s) = 267*s**2 - 106*s + 1. Let l(k) = -8*o(k) + 11*w(k). Let b(i) = -i**2 + 19*i + 3. Determine 5*b(q) + 3*l(q).
-2*q**2 - 19*q
Let c(o) = 4*o**2 + 2*o - 1. Let m(k) = -8161*k - 1 + 8160*k + 1. Give c(q) + 3*m(q).
4*q**2 - q - 1
Let f(u) = -u**3 - 5*u**2 - 130*u + 45. Let d(c) = -2*c**3 - 7*c**2 - 195*c + 72. Give -5*d(n) + 8*f(n).
2*n**3 - 5*n**2 - 65*n
Let l(f) = f**2 - 3. Let x(o) = -209*o**2 - 32. Give -6*l(v) + x(v).
-215*v**2 - 14
Let x(l) = -6*l - 13*l + 11*l + 2*l. Let p(v) = 7*v + 1. Calculate 4*p(y) + 5*x(y).
-2*y + 4
Let k(q) be the first derivative of q**2 - 2. Let o(v) = v. Suppose 1218 + 2256 = -9*f. Let z = f + 389. Calculate z*o(j) - k(j).
j
Let d(t) = -29*t**3 - 29*t**2 + 63*t - 10. Let n(p) = -14*p**3 - 14*p**2 + 28*p - 5. Determine -4*d(f) + 9*n(f).
-10*f**3 - 10*f**2 - 5
Let w(y) = -12*y - 13. Let n(p) = -4. Let i(f) = -18*f + 4. Let l(g) = i(g) + 6*n(g). Give -5*l(z) + 8*w(z).
-6*z - 4
Let k(h) = -16*h**2 - 452*h - 5. Let j(z) = -9*z**2 - 221*z - 3. Give -7*j(b) + 4*k(b).
-b**2 - 261*b + 1
Let h(q) = -65*q + 44. Let r(m) = 129*m - 79. Give -11*h(b) - 6*r(b).
-59*b - 10
Let i(m) = -1. Let d(j) = j - 3. Suppose h - 2 = -h. Let s(f) be the third derivative of f**4/2 + 49*f**3/6 + 184*f**2. Let n be s(-4). What is h*d(p) + n*i(p)?
p - 4
Let g(u) = 578*u**3 - 2*u**2 - 2*u - 9. Let z(n) = -288*n**3 + n**2 + n + 4. Give -4*g(r) - 9*z(r).
280*r**3 - r**2 - r
Let l(a) = 3*a + 1. Let v(q) = -16*q - 1. Let k(t) = 67*t + 6. Let b(c) = -k(c) - 4*v(c). Calculate 3*b(g) + 4*l(g).
3*g - 2
Let w(d) = -d**3 - d**2 - 13*d + 5. Let n(f) = 3*f**3 + 5*f**2 - 218*f - 22. Calculate n(g) + 5*w(g).
-2*g**3 - 283*g + 3
Let d(u) be the first derivative of -4*u**3/3 - u**2 + 2*u + 1191. Let g(t) = -9*t**2 - 5*t + 5. Determine 5*d(x) - 2*g(x).
-2*x**2
Let n(i) be the third derivative of -i**4/24 + 3*i**2 + 1257*i + 1. Let w = -13 - -9. Let h(r) = -3 + 0 + 5*r + 1. Calculate w*n(u) - h(u).
-u + 2
Let l(p) = -27*p**3 + 12*p**2 - 79*p + 2. Let y(o) = 165*o**3 - 74*o**2 + 473*o - 12. Calculate 37*l(m) + 6*y(m).
-9*m**3 - 85*m + 2
Let n(d) = 1996*d + 12. Let y(r) = -1245504*r - 7485. Determine 2495*n(o) + 4*y(o).
-1996*o
Let s(k) = -4*k + 4. Let o(u) = 124*u + 5 - 9*u - 120*u. Let f(y) = y**2 + 1. Let t be f(2). What is t*o(m) - 6*s(m)?
-m + 1
Let j(g) = 3*g**3 + 3*g**2 - g + 1. Let w(a) = -24*a**3 + 1297*a**2 + 5*a - 7. Give -7*j(x) - w(x).
3*x**3 - 1318*x**2 + 2*x
Let p(f) = 19*f. Let o(u) = -4*u - 58. Let r be o(-14). Let i(w) = 4*w. Let z be 2 + 3 + -4 - 15*-6. Let a = -80 + z. Determine a*i(j) + r*p(j).
6*j
Let m(v) = 17*v**3 - 15*v**2 + 13. Let f(t) = -t**2 + 35*t + 699. Let d be f(49). Let b(c) = 8*c**3 - 7*c**2 + 6. What is d*b(s) - 6*m(s)?
2*s**3 - s**2
Let p(n) = n**2 + 3*n - 3. Suppose -17*t - 2 = -2*w - 19*t, -w + 3*t = 23. Let v(r) = -2*r**2 - 6*r + 7. Give w*p(g) - 2*v(g).
-g**2 - 3*g + 1
Let l(r) = -5*r - 6. Let n(f) = -6*f - 155. Calculate l(y) + n(y).
-11*y - 161
Let l(p) = 286979405*p - 415050. Let j(v) = 13829*v - 20. Give 41505*j(o) - 2*l(o).
13835*o
Let t(i) = 52*i - 24. Let z(a) be the second derivative of -17*a**3/6 + 4*a**2 - 52*a. Let f(b) = -5*t(b) - 16*z(b). Let k(p) = 11*p - 7. Give -5*f(x) + 6*k(x).
6*x - 2
Let z(a) = 925*a**2 + a - 12. Let f(p) = -3*p**2 - 5. Give -2*f(t) + z(t).
931*t**2 + t - 2
Let y(n) = -48*n**2 - 14*n + 14. Let f(a) be the first derivative of -16*a**3/3 - 5*a**2/2 + 5*a - 2857. What is 14*f(q) - 5*y(q)?
16*q**2
Let s(z) = -8*z. Let p(u) = 17*u. Let r(o) = -14*o**2 - o. Let a be r(1). Let q be (49/(-20) + (-3)/a)*-16. Let v be ((-24)/q)/(2/(-18)). Give v*p(i) + 13*s(i).
-2*i
Let n(l) = -2*l**3 + 5*l**2. Let d(y) = 2*y**3 - 6*y**2 + 1. Let m = 111 - 114. Let a be 33 + 0 + 3/m + 0. Suppose -a*t + 33*t = 3. Give t*d(q) + 4*n(q).
-2*q**3 + 2*q**2 + 3
Let v(b) = 9*b + 28. Let k(y) = -4*y - 14. Let n(l) = -2*l**2 - 7*l + 525. Let r be n(-18). What is r*v(d) + 7*k(d)?
-d - 14
Let p(o) = o**2 - 3*o. Suppose -1 = -19*b + 26 + 87. Let v(h) = -3*h**2 + 8*h. Calculate b*v(g) + 17*p(g).
-g**2 - 3*g
Suppose -4*o - 12*o = 48. Let f(g) = -g**3 + g**2 + 3*g - 3. Let h(w) = -4*w**3 + 4*w**2 + 10*w - 10. Suppose -17*z - 100 = -27*z. Calculate o*h(x) + z*f(x).
2*x**3 - 2*x**2
Let w(p) = 128*p**3 - 15*p**2 - 4871*p + 2. Let g(m) = -154*m**3 + 18*m**2 + 4870*m - 3. What is 5*g(t) + 6*w(t)?
-2*t**3 - 4876*t - 3
Let q(n) = -5*n + 3. Suppose -h = 4*k + 123, 8*h = 5*k + 6*h + 170. Let s = -31 - k. Let p(f) = f - 1. Determine s*q(y) + 4*p(y).
-y - 1
Let x(w) = 15*w + 1. Let y = 7774 + -7765. Let r(i) = 60*i + 4. What is y*x(o) - 2*r(o)?
15*o + 1
Let p(x) = 4*x + 2. Let q(g) = -19*g - 7. Give 3*p(y) + q(y).
-7*y - 1
Let c(f) = -7*f**2 + 6. Let a be (3/6*-53)/((-53)/106). Let w(l) = 1 + l**2 - a*l - 63*l + 116*l. What is c(d) - 6*w(d)?
-13*d**2
Let w(k) = -2*k + 1. Let p(o) = 1 + 1 - 2*o - 1 + 1. Let a(q) = -3*p(q) + 4*w(q). Let n(u) = 4*u + 3. Calcul