 - 3. What is b*t(x) + 10*g(x)?
-10*x**3
Let s(z) = -2*z + 7. Suppose -95*u - 7*u + 239 = 137*u. Let v(l) be the second derivative of -l**3/6 + l**2/2 - 40*l. Calculate u*s(b) - 4*v(b).
2*b + 3
Let r(f) be the second derivative of -2*f**3 + 3*f**2 - 1477*f. Let b(i) = 12*i - 7. Calculate -4*b(a) - 5*r(a).
12*a - 2
Let v(l) = 25*l**2 + 5. Let a(i) be the second derivative of i**2/2 - 15*i - 12. Give 5*a(w) - v(w).
-25*w**2
Let z(j) = -18*j**2 + 164*j. Let k(o) = 27*o**2 - 246*o. Give 5*k(d) + 7*z(d).
9*d**2 - 82*d
Let b(x) = -747*x + 54. Let r be 5/((-35)/(-14)) - ((3 - 5) + -1). Let v(s) = -68*s + 5. Calculate r*b(g) - 54*v(g).
-63*g
Let a(i) = -519*i - 4. Let o(u) = -2069*u - 15. Calculate 11*a(l) - 3*o(l).
498*l + 1
Let k(n) = -26*n + 59. Let l(s) = -13 - 231*s - 7 - 242*s + 726*s - 244*s. Give 6*k(v) + 17*l(v).
-3*v + 14
Let a(v) = -10*v**3 + 5*v**2 - 6*v - 11. Let m(s) = 2*s**3 - s**2 + s + 2. Let j be (-278)/(-973) - 150/(-14). What is j*m(y) + 2*a(y)?
2*y**3 - y**2 - y
Let o(f) = -3*f**2 - 2*f - 1. Let b(v) = v**3 + 2*v**2 + 3*v + 1. Suppose 25*u - 179 + 129 = 0. Calculate u*b(t) + 3*o(t).
2*t**3 - 5*t**2 - 1
Let h(z) = 28*z**3 + 4*z**2 + 8*z - 3. Let k(g) = 91*g**3 + 10*g**2 + 22*g - 9. What is -8*h(w) + 3*k(w)?
49*w**3 - 2*w**2 + 2*w - 3
Let g(w) = w**3 - 6. Let p(f) = 76*f**3 + 25*f**2 - 31. Determine -5*g(y) + p(y).
71*y**3 + 25*y**2 - 1
Let f be (-520)/(-15) - (-2)/6. Let d(o) be the first derivative of -21*o**2 + 3813. Let k(j) = -j. Give f*k(u) - d(u).
7*u
Let t(z) = 979*z**2 - 17*z - 14. Let g(f) = -979*f**2 + 21*f + 17. Give 5*g(y) + 6*t(y).
979*y**2 + 3*y + 1
Let z(k) = -2*k**2 - k. Let b be z(-1). Let g(h) be the second derivative of -3*h**3/2 + 2*h**2 - 620*h. Let r(l) = l - 1. Calculate b*g(t) - 5*r(t).
4*t + 1
Let g(c) = -5*c + 1012. Let x(o) = 3*o - 493. Determine -2*g(d) - 5*x(d).
-5*d + 441
Let u(r) = 861*r**3 - 11*r**2 - 9*r - 11. Let g(c) = 429*c**3 - 6*c**2 - 5*c - 6. What is 11*g(b) - 6*u(b)?
-447*b**3 - b
Suppose -5*q = -5*m + 140, 3*m + 17*q - 11*q = 84. Let v(r) = 161*r**3 - 28*r**2 - 28*r - 28. Let c(b) = 18*b**3 - 3*b**2 - 3*b - 3. Give m*c(l) - 3*v(l).
21*l**3
Let m(g) = -66*g. Let o(s) = -287*s + 22. Give -6*m(q) + o(q).
109*q + 22
Let n(d) = -d**2 - 3*d + 2. Let w(b) = -b**3 + 134*b**2 - 18*b + 12. Give -6*n(v) + w(v).
-v**3 + 140*v**2
Let a(q) = 20*q**2 + 7*q + 3. Let d(f) = 214*f - 1493. Let v be d(7). Let o(i) = -30*i**2 - 11*i - 5. Give v*o(c) + 8*a(c).
10*c**2 + c - 1
Let p(x) = -4*x + 5. Let r(o) = 1. Let m(z) be the first derivative of -z + 8. Let k(c) = -4*m(c) - 5*r(c). Suppose -4*d + 32 = -12*d. Calculate d*k(i) - p(i).
4*i - 1
Let u be (-9)/3*(-196)/21. Suppose -189 = -u*n + 7. Let b(t) = -9*t**2 - 5. Let m(y) = -14*y**2 - 7. Determine n*b(p) - 5*m(p).
7*p**2
Let k(d) = 17*d + 1. Let a = 14322 + -14323. Let w(x) = -x. What is a*k(i) - 6*w(i)?
-11*i - 1
Let w be (5/(-1) - 9)*-6. Let k(r) = 714*r**2 + 84*r. Let v(a) = 42*a**2 + 5*a. Give w*v(o) - 5*k(o).
-42*o**2
Let a(g) = g**3 - 3*g**2. Let k(n) = -n**3 - 16*n**2 + 6*n - 12. Let q(x) = -x**3 - 32*x**2 + 11*x - 22. Let b(i) = -11*k(i) + 6*q(i). Give -11*a(c) + 2*b(c).
-c**3 + c**2
Let c(o) be the first derivative of -9*o**2/2 - 7*o + 949. Let f(m) = 1. What is -2*c(l) - 14*f(l)?
18*l
Let v(d) = -4*d**2 + 2*d + 3. Let w(c) = 165*c - 4*c**2 - 7 - 12 - 164*c + 21. Calculate -3*v(h) + 4*w(h).
-4*h**2 - 2*h - 1
Suppose -t - 2*v - 2 = 0, t + 2 + 2 = -4*v. Suppose -3*o + 3*u + 18 = 0, 3*u + t*u = -5*o + 6. Let f(m) = 3*m**3. Let j(g) = 4*g**3. Determine o*f(h) - 4*j(h).
-7*h**3
Let y(i) = 2215*i**3 - 6*i**2 - 36*i + 12. Let j(r) = 2779825*r**3 - 7531*r**2 - 45186*r + 15062. Determine -6*j(u) + 7531*y(u).
2215*u**3
Let a(z) = -5*z - 1. Let h = 353 + -137. Let s = -213 + h. Let v(w) = -6*w - 2. Determine s*v(y) - 4*a(y).
2*y - 2
Let g(m) = 2*m - 48. Let i(b) = 9*b - 262. Let q(n) = 11*g(n) - 2*i(n). Let u(a) = -5*a + 5. Let o = -5 + 1. Determine o*q(h) - 3*u(h).
-h + 1
Suppose -278*u + 84 = -264*u. Let y(x) = -3*x**3 + 6*x**2 + 6*x + 4. Let o(z) = 2 - 8 - 13*z - 13*z**2 - 5 + 6*z**3 + 2. What is u*o(r) + 13*y(r)?
-3*r**3 - 2
Let z(m) = -3*m**2 - 19*m + 9. Let n(j) = 2*j**2 + 3*j - 1. Let x(l) = 5*l**2 + 15*l - 6. Let u(k) = 2*n(k) - x(k). Give 5*u(d) - 2*z(d).
d**2 - 7*d + 2
Let l(u) = 19*u**3 + 41*u**2 - 6*u - 12. Let b(a) = 38*a**3 + 81*a**2 - 11*a - 22. What is -6*b(q) + 11*l(q)?
-19*q**3 - 35*q**2
Let c(m) = -11*m**2 - 266*m + 1. Let w(n) = 7*n**2 + 129*n - 1. Determine -4*c(v) - 7*w(v).
-5*v**2 + 161*v + 3
Let g(q) = 14*q**3 + 38*q**2 + 9*q + 72. Let c(u) = -3*u**3 - 9*u**2 - 2*u - 18. Calculate -18*c(x) - 4*g(x).
-2*x**3 + 10*x**2 + 36
Let z(d) = d**2 - 2. Let u(c) = -c**2 + 1. Let y(r) = -420*r - 1682. Let s be y(-4). Determine s*z(v) - 4*u(v).
2*v**2
Let j(u) = 7*u**3 + 13. Let a(q) = 4*q**3 + 7. Let f(k) = -11*k**3 + 6*k**2 + 11*k + 5. Let t be f(-1). Give t*a(x) - 6*j(x).
2*x**3 - 1
Let j(u) = u + 648. Let c(f) = 3*f + 1943. Calculate -2*c(r) + 7*j(r).
r + 650
Let b(l) = -39655*l**3 - 110*l**2 + 110*l - 275. Let j(t) = -4406*t**3 - 12*t**2 + 12*t - 30. Determine 6*b(s) - 55*j(s).
4400*s**3
Let z(c) = 6*c**3 - c**2 + 13*c + 4. Let i(r) be the first derivative of 7*r**4/4 - r**3/3 + 13*r**2/2 + 5*r + 67. Determine 4*i(k) - 5*z(k).
-2*k**3 + k**2 - 13*k
Let h(o) = 15*o**2 - 13*o. Let q = 683 - 1101. Let t = -412 - q. Let m(x) = 7*x**2 - 6*x. Give t*h(u) - 13*m(u).
-u**2
Let t(a) = 3*a**3 + 23*a**2 - 13*a - 16. Let u(m) = -2*m**3 - 14*m**2 + 7*m + 8. What is 3*t(v) + 5*u(v)?
-v**3 - v**2 - 4*v - 8
Let v(t) = 8 - 1 + 0*t + t. Let r(c) = 414. Let u(x) = -105. Let h(o) = r(o) + 4*u(o). Calculate 7*h(m) + 6*v(m).
6*m
Let n(l) be the second derivative of l**3 + 7*l**2/2 - l + 94. Let g(t) = -5*t - 6. What is 5*g(k) + 4*n(k)?
-k - 2
Let r(x) = -7 + 0*x + 16*x**2 - x + x. Let b(l) = 74*l - 74*l - 2 - 5*l**2 + 4. Give 14*b(u) + 4*r(u).
-6*u**2
Let d(o) = 7*o**2 + 67*o - 25. Let r(x) = -18*x**2 - 133*x + 59. Give -7*d(k) - 3*r(k).
5*k**2 - 70*k - 2
Let y(x) = 4*x**3 + x**2 - 2*x. Let b(o) = -o**3 + o + 1. Let p be 504/14 - (-2)/(-2). Suppose p*i - 38*i + 6 = 0. Calculate i*b(q) + y(q).
2*q**3 + q**2 + 2
Let n be 7 + 10/(-2) + (4 - (2 - -3)). Let h(i) = i**2 - i - 1. Let s(j) = 6*j**2 - 6*j - 8. What is n*s(x) - 5*h(x)?
x**2 - x - 3
Let z(i) be the first derivative of 7*i**2 + 147 - 24 + 9*i**2 - 32*i - 18 + 40*i**3. Let f(c) = -11*c**2 - 3*c + 3. What is 32*f(m) + 3*z(m)?
8*m**2
Let r(d) = -d**3 + 201*d**2 - 2*d - 2. Let q(a) = 2*a**2 + a + 1. Determine -2*q(w) - r(w).
w**3 - 205*w**2
Let c(v) = 2 + v - 4*v + 0 + 1 - 68*v**2 + 43*v**2. Let z(g) = 425*g**2 + 50*g - 50. Calculate 50*c(a) + 3*z(a).
25*a**2
Let w(s) = -7*s + 2. Let a(i) be the second derivative of 3/2*i**2 - 6*i - 11/6*i**3 + 1. Determine -5*a(o) + 8*w(o).
-o + 1
Let f(y) = 11*y**3 - 7*y**2 + 5*y + 2. Let l(t) be the second derivative of t**5/4 - t**4/4 + t**3/3 + t**2/2 + 5*t + 38. Determine -2*f(w) + 5*l(w).
3*w**3 - w**2 + 1
Let h(q) = q**2. Let m be (-4)/18 - (-38)/9. Let l(j) = 7*j**2 - 5*j + 2. Let r(z) = 3*z**2 - 2*z + 1. Let y(s) = 2*l(s) - 5*r(s). Calculate m*y(u) + 3*h(u).
-u**2 - 4
Let t(p) = 345*p**3 + 7*p**2 - 3*p - 15. Let q(w) = 348*w**3 + 7*w**2 - 4*w - 19. Calculate 4*q(b) - 5*t(b).
-333*b**3 - 7*b**2 - b - 1
Let o = -3126 - -3131. Let x(k) = -3*k - 14. Let j(t) = -2*t - 13. Give o*j(s) - 4*x(s).
2*s - 9
Let z(i) = 155*i**3 + i**2 + i - 16. Let n(y) = 155*y**3 + y**2 + 2*y - 20. Calculate 4*n(w) - 5*z(w).
-155*w**3 - w**2 + 3*w
Suppose 3*l - 6 = 2*l. Suppose 14 = -k - v, l*v - 18 = 3*k + v. Let h(b) = -1208 - 1201 + 2406 - 6*b. Let i(n) = -2*n - 1. Calculate k*i(f) + 4*h(f).
-2*f - 1
Let i(a) = -43*a**2 + 4*a - 10. Let t(n) = 7*n**2 + n - 2. Let b(h) = -i(h) + 2*t(h). Let u(w) = -w**2 - 1. Give b(d) + 6*u(d).
51*d**2 - 2*d
Let t(d) be the third derivative of 2 + 0*d - 1/24*d**4 - 1/6*d**3 + 5*d**2. Let h(o) = 8. What is -h(i) + 2*t(i)?
-2*i - 10
Let n(q) = -62*q - 1. Let y(j) = -373*j + 2517. Determine 6*n(g) - y(g).
g - 2523
Let d(u) = 15*u**2 - 18*u - 68. Let y(s) = -8*s**2 + 11*s + 39. Give -4*d(w) - 7*y(w).
-4*w**2 - 5*w - 1
Let g(h) = -63*h. Let a(w) = 3 - 55 + 19 + 33 - w. Calculate 27*a(o) - g(o).
36*o
Let q(v) = v**2 + 680*v + 1. Let c(g) = 682*g. What is 3*c(z) - 2*q(