+ 3
Let k(r) = 13*r**2 + 4*r + 4. Let f(w) be the second derivative of 13*w**4/12 + 5*w**3/6 + 5*w**2/2 + 2302*w. Calculate 4*f(z) - 5*k(z).
-13*z**2
Let y(i) = -35*i + 30. Let c be (23/(966/70))/(16/(-6) + 3). Let t(j) = -j + 1. Determine c*y(k) - 150*t(k).
-25*k
Let r(s) = 24*s**2 - 4*s + 6. Let h = -1292 + 1285. Let l(y) = 8*y**2 - y + 2. Calculate h*l(b) + 2*r(b).
-8*b**2 - b - 2
Let c(n) = -13*n + 7. Let i(j) = 1433*j + 5727. Let f be i(-4). Let o(s) = -s - 1. Give f*o(m) - c(m).
18*m - 2
Let l(m) = 10098*m + 82. Let i(w) = -10097*w - 109. Give -3*i(f) - 4*l(f).
-10101*f - 1
Let u(q) = -2*q + 16. Let t(n) = -2*n + 15. Let v(w) = 6*t(w) - 4*u(w). Suppose -307 = 9*o - 406. Let s(z) = z - 5. What is o*s(f) + 2*v(f)?
3*f - 3
Let u(d) = -12*d**3 - 4*d**2 - 5*d - 47. Let w(n) = 62*n**3 + 23*n**2 + 27*n + 236. What is -11*u(v) - 2*w(v)?
8*v**3 - 2*v**2 + v + 45
Let w(o) = 10*o**3 + 32*o**2 + 1217*o + 7. Let x(n) = -4*n**3 - 14*n**2 - 608*n - 3. Calculate -3*w(y) - 7*x(y).
-2*y**3 + 2*y**2 + 605*y
Let q(l) = 1850*l + 2*l**2 - 1850*l + 3 - 3. Let p = 7 - 13. Let s(o) = -3*o**2. Give p*q(m) - 5*s(m).
3*m**2
Let q(u) = -4*u - 7. Let x(h) = h + 2. Let y = -226 - -104. Let n = y - -116. Calculate n*q(g) - 21*x(g).
3*g
Let c(u) = -62*u. Suppose -5*b - 136 = -3*m, -131 = -4*m - 4*b + 93. Let i(t) = -7*t. Determine m*i(p) - 6*c(p).
8*p
Let j(f) = 1461 + 1438 - 2886 - 2*f + 8*f. Let x(o) = o. Give j(q) - 4*x(q).
2*q + 13
Let g(y) = -33417*y + 135. Let c(w) = -1519*w + 6. Determine 45*c(s) - 2*g(s).
-1521*s
Let n(k) = 3*k**3 + 20*k**2 + 11*k + 320. Let j(f) = f**3 + 8*f**2 + 4*f + 107. Calculate 11*j(x) - 4*n(x).
-x**3 + 8*x**2 - 103
Let g(q) = -q**3 - q**2 + 1. Let u(c) = 29*c**2 - 6*c + 2 - 85*c**2 + 21*c**2 + 20*c**3 + 8*c + 33*c**2. Calculate -2*g(m) + u(m).
22*m**3 + 2*m
Let c(u) = -11*u**3 - 3*u**2 - 17*u. Let v(g) = -3*g**3 - g**2 - 2*g. Calculate c(d) - 2*v(d).
-5*d**3 - d**2 - 13*d
Let r(u) = u**2. Let p(m) = 2*m**2 + 6*m - 1. Suppose 696*t - 699*t + 5*c = -27, -2*t = c - 5. Determine t*r(a) - p(a).
2*a**2 - 6*a + 1
Let a(c) = 48*c**2. Let u(d) = 76*d - 24*d - 31*d - 21*d + d**2. Give 2*a(m) - 88*u(m).
8*m**2
Let b(n) = -237*n + 57. Let t(y) = -57*y + 14. Give 2*b(c) - 9*t(c).
39*c - 12
Let u(m) = 3 - 3470*m**3 + 3*m**2 + 3471*m**3 + 2*m**2. Let g(h) be the first derivative of 1/4*h**4 + 1/2*h**2 - 4 + h + 1/3*h**3. Determine -3*g(r) + u(r).
-2*r**3 + 2*r**2 - 3*r
Let b(j) = 88*j**3 - 36*j**2 - 52*j + 4. Let y(i) = 89*i**3 - 37*i**2 - 65*i + 5. Determine 5*b(z) - 4*y(z).
84*z**3 - 32*z**2
Let h(z) = 68139*z**2 - 136280*z**2 + 68140*z**2. Let u(j) = -31*j**3 - 4*j**2. Calculate 4*h(b) - u(b).
31*b**3
Let x(g) = 3*g - 18. Let i(v) = -42*v - 1794. Give -i(m) - 15*x(m).
-3*m + 2064
Let t be (-10)/6 - (-13)/(-39). Let a(g) = -56*g**2 - 11*g - 6. Let f(j) = 11*j**2 + 2*j + 1. Calculate t*a(x) - 11*f(x).
-9*x**2 + 1
Let c(w) = -22*w**2 - 20*w - 27. Let d(j) = 27*j**2 + 25*j + 27. Determine -6*c(q) - 5*d(q).
-3*q**2 - 5*q + 27
Let c(k) = 8*k + 111. Let w(n) = 12*n + 114. Calculate -8*c(m) + 6*w(m).
8*m - 204
Let r(d) = -9*d**3 - 5*d**2 - 41*d. Let c(k) = 23*k**3 + 11*k**2 + 81*k - 1. What is 2*c(v) + 5*r(v)?
v**3 - 3*v**2 - 43*v - 2
Let u be (-8)/(-3)*(-24)/(-32) - -1. Let c(j) = -545*j**u - 7 + j + 7*j**2 + 534*j**3 - j. Let b(m) = 5*m**3 - 3*m**2 + 3. Determine -7*b(t) - 3*c(t).
-2*t**3
Let i(w) = -2*w**2 + 6*w - 17. Let z(t) = 4*t**2 - 11*t + 34. Determine 11*i(c) + 6*z(c).
2*c**2 + 17
Let d(s) = -19*s + 323. Let t(n) = -8*n - 1. Determine -d(h) + 2*t(h).
3*h - 325
Let b(v) = 6*v**2 + 2. Let w be (-2)/(3 + -5 + 0). Let y(c) = -w + 19*c - c**2 - 19*c. Give b(r) + 2*y(r).
4*r**2
Suppose 8*q + 1109 = 701. Let w(f) = -f**2 + 2*f + 2. Let c(m) = -m - 6. Let y be c(0). Let i(a) = 8*a**2 - 17*a - 17. Calculate q*w(d) + y*i(d).
3*d**2
Let p(q) = -88*q**3 + q**2 - 84*q + 4. Let n(y) = y**3 + y**2 - 14*y + 1. Determine 6*n(r) - p(r).
94*r**3 + 5*r**2 + 2
Let v = 64 - 60. Let d(x) = 0 - 3 - 7 - v*x. Let h be (-152)/(-32) - 3/4. Let t(s) = s + 3. What is h*d(j) + 14*t(j)?
-2*j + 2
Let t(l) = -2*l**2 + 9. Let o(i) = i**2 - 7. Let j(f) = -5*o(f) - 4*t(f). Let p(y) = 1 - 8*y**2 + 4*y**2 + 1. What is 5*j(w) + 4*p(w)?
-w**2 + 3
Let b(j) = -6*j**3 - 3*j - 1. Let h(a) = 4*a**3 - a**2 + 2*a - 1. Let g be h(1). Let c(w) = w**3 - 2*w**3 - 2*w**3 + 2*w**3. What is g*c(q) - b(q)?
2*q**3 + 3*q + 1
Let y(c) = 133*c**2 + 2*c - 7. Let x(r) = -2*r**2 - r + 3. Calculate 2*x(k) + y(k).
129*k**2 - 1
Let b(u) = 3*u**2 + u**2 + 0*u**2 - u - 5 + 4. Let i(h) = -h**2 + h + 1. Suppose 0 = -5*x + 5*x + 9*x - 9. Calculate x*b(m) + i(m).
3*m**2
Let w(h) = -33*h. Let q = 1167 + -1170. Let g(s) = -s. What is q*g(f) - w(f)?
36*f
Let m(l) = -10*l**2 + 2*l - 4. Let f(j) = -56*j**2 + 10*j - 21. What is -4*f(d) + 22*m(d)?
4*d**2 + 4*d - 4
Let j(b) be the third derivative of -b**4/24 - b**3/6 + 179*b**2. Let l(o) = -13*o - 9. Calculate -22*j(a) + 2*l(a).
-4*a + 4
Let s(l) = -5*l + 1. Let k(r) = -2426*r**2 - 40*r + 8. Give k(m) - 8*s(m).
-2426*m**2
Let d(x) = -6*x**2 - 6*x + 12. Let o(j) = -8 + 33*j**2 - 94*j**2 + 31*j**2 + 34*j**2 + 4*j. Suppose 2*m - 4 = 2*k - 6, k = 2*m + 6. What is m*d(n) - 8*o(n)?
-2*n**2 - 2*n + 4
Let b(d) = -1. Suppose -6*x + 21*x - 123 = 3*a, a = -4*x + 31. Let t(h) = 3*h - 2. What is a*t(v) + 4*b(v)?
-3*v - 2
Let z(u) = 1. Let v be (24*(-33)/(-352))/((-15)/40). Let q(s) = 4*s + 17. What is v*z(h) + q(h)?
4*h + 11
Let x(g) = g**2 - 1. Let z(p) = p**2 + 3*p + 5. Let d be z(0). Suppose -d*u = 13*u + 108. Let t(w) = -8 + 16*w**2 - 7*w**2 + 3. Calculate u*x(q) + t(q).
3*q**2 + 1
Let a be 3/(-21)*-75 - (2755/133 - 21). Let m(w) = -14*w + 1. Let j(n) = 2*n - n - 6*n. Calculate a*j(y) - 4*m(y).
y - 4
Let s(k) = k**2 - 8*k - 273. Let r(d) = -d - 34. Calculate 50*r(f) - 6*s(f).
-6*f**2 - 2*f - 62
Let j(p) = -19 - 11*p - 14 - 12 - p + 41 + 10*p**2. Let z(b) = -b**2 + b. Determine -j(a) - 12*z(a).
2*a**2 + 4
Let j(w) = 67*w**2 - 5*w - 5. Let z(d) = -145*d**2 + 11*d + 11. Let g(c) = 13*j(c) + 6*z(c). Let v(a) = -a**3 + 6*a**2 + 7*a + 6. Determine 6*g(f) - v(f).
f**3 - f
Let r(n) = -n + 1. Let d(b) = 1 - b + 1 - 2*b. Let f(p) = 839*p + 11. Let x be f(0). Determine x*r(a) - 4*d(a).
a + 3
Let u(k) = 4*k**3 + k**2 + 2*k + 2. Let i(x) = -x**3 - x**2 - x - 1. Suppose -3*v = 5*q + 52 - 451, q + 3*v - 75 = 0. Let c = 83 - q. Give c*i(a) + u(a).
2*a**3 - a**2
Let n(y) = -y**2 - 2*y. Let w(t) = -1. Suppose -3*h = -2*h - 28. Suppose -11*o = -4*o - h. Suppose d - 3*d = -o. Determine d*w(b) + n(b).
-b**2 - 2*b - 2
Let q(v) = 822*v**3 - 4*v**2 - 4*v - 6. Let p(m) = -3*m**3 + 2*m**2 + 2*m + 2. Calculate -2*p(s) - q(s).
-816*s**3 + 2
Let c(l) = -3*l**3 - 2*l**2 - l. Let m(a) = -1600*a**3 + 1600*a**2 + 800*a. Determine 800*c(q) + m(q).
-4000*q**3
Let q(o) = -68*o**2 + 4*o. Let u(x) = -244*x**2 + 72*x + 11. Let b(c) = 127*c**2 - 39*c - 6. Let k(h) = 11*b(h) + 6*u(h). Calculate -4*k(g) + 3*q(g).
64*g**2
Let c(t) = -t**3 - t**2 - t + 1. Let g = -314 - -312. Let p(u) = -6*u**3 - 9*u**2 - 9*u + 10. Calculate g*p(a) + 18*c(a).
-6*a**3 - 2
Let o(j) = -3*j**3 + 14*j**2 + 5*j + 14. Let t(z) = z**3 + 2*z + 4. Give o(b) - 3*t(b).
-6*b**3 + 14*b**2 - b + 2
Let a(s) = -s + 4. Let h(j) = -4*j + 11. Let p be (42/35)/(-4 + (-258)/(-60)). Calculate p*h(i) - 14*a(i).
-2*i - 12
Let u(g) be the second derivative of g**3/6 - 5*g**2/2 + g. Let l(z) be the second derivative of -2*z**3/3 + 13*z**2 + z - 630. Calculate 3*l(p) + 16*u(p).
4*p - 2
Let p(j) = -3*j**2 + 11*j + 5. Let c(t) = 4*t**2 - 9*t - 5. Calculate -4*c(u) - 3*p(u).
-7*u**2 + 3*u + 5
Let x(f) = -424*f + 1678. Let w(p) = -83*p + 335. Calculate -31*w(d) + 6*x(d).
29*d - 317
Let w(j) = 2*j**2 - 82*j + 14. Let g(m) = -7*m**2 + 243*m - 43. Give -3*g(u) - 10*w(u).
u**2 + 91*u - 11
Let l(h) = -h + 698. Let b(s) = 6*s - 3512. Calculate -2*b(m) - 11*l(m).
-m - 654
Suppose -78 + 210 = 9*f + 78. Let n(o) = 48*o**2 + 2. Let d(a) = -144*a**2 - 6. What is f*d(h) + 17*n(h)?
-48*h**2 - 2
Let a(x) = 7*x**3 + 6*x**2 - 8. Let h = -63039 - -63034. Let q(z) = 6*z**3 + 5*z**2 - 7. Let n(y) = -7*y - 1. Let t be n(-1). Determine h*a(o) + t*q(o).
o**3 - 2
Let l(a) = -14*a**2 - 5*a - 2. Let q(n) = -5*n**2 - 2*n - 1. Suppose -4*g + 320 = 4*r, -76 = 2*g - 3*g - 5*r. Suppose 9*f - g = -9.