(w)?
2*w - 2
Let c(y) = -2*y**3 + 5*y**2 - 7. Suppose 37*d - 81 + 206 = 62*d. Let m(w) = w**3 - 2*w**2 + 3. Calculate d*m(v) + 2*c(v).
v**3 + 1
Let g(z) = -2*z + 23. Let a(n) = 3*n + 225. What is a(j) - 3*g(j)?
9*j + 156
Let c(v) = 4*v**2 + 72*v + 3. Let l(w) = -5*w**2 - 90*w - 3. Calculate -4*c(y) - 3*l(y).
-y**2 - 18*y - 3
Let k(n) = 115*n**3 - 8*n**2 - 6*n - 5. Let x(p) = -575*p**3 + 38*p**2 + 28*p + 23. Give -19*k(g) - 4*x(g).
115*g**3 + 2*g + 3
Let g(l) = -5*l**3 + 2*l**2 + 2. Let t = 15 + -13. Suppose 2*s = -2*r - 42, -21 = t*s - 4*r - 3. Let o(c) = 14*c**3 - 6*c**2 - 6. What is s*g(a) - 6*o(a)?
a**3 + 2*a**2 + 2
Let o(b) = 3033*b. Let t(x) = -5501860*x. Calculate -9069*o(c) - 5*t(c).
3023*c
Let v(t) = -11*t**3 - 2*t**2 + 36*t - 2400. Let o(c) = -5*c**3 - c**2 + 16*c - 1199. Calculate -9*o(j) + 4*v(j).
j**3 + j**2 + 1191
Let f(a) be the first derivative of a**2/2 - a + 78. Let u(w) = 23*w + 2. Give -3*f(n) - u(n).
-26*n + 1
Suppose 0 = 12*d - 18*d - 6. Let h(o) = o + 1. Let z(v) = 9*v + 147. Let b(y) = 2*y + 31. Let q(f) = 24*b(f) - 5*z(f). What is d*q(k) + 4*h(k)?
k - 5
Let d(z) = -13449*z - 68. Let i(g) = 40344*g + 193. Calculate -17*d(y) - 6*i(y).
-13431*y - 2
Suppose -5*f - 6*f + 4*f = 0. Suppose f = -n + 146 - 151. Let x(w) = 5*w**2 + 4*w - 8. Let t(r) = -4*r**2 - 3*r + 7. Calculate n*x(a) - 6*t(a).
-a**2 - 2*a - 2
Let c(a) = a**2 + 6*a - 2. Let i(y) = -76*y**2 + 13*y - 4. Determine 2*c(p) - i(p).
78*p**2 - p
Let p(s) = s**3 - s**2 + s - 1. Suppose -9*y - 698 = -689. Let q(j) = -2*j**3 + j**2 - 3*j + 1. Let n = 7 + -4. Suppose 0 = -n*v - 3. What is v*p(u) + y*q(u)?
u**3 + 2*u
Let d(a) = -8*a + 4. Let p(l) be the second derivative of 7*l**3/6 - 2*l**2 - 248375*l. Suppose -v + 1 = -3. Calculate v*d(k) + 5*p(k).
3*k - 4
Let p(b) = -5*b**2 + 368*b - 2. Let y(c) = 10*c**2 - 739*c + 3. Give -5*p(z) - 2*y(z).
5*z**2 - 362*z + 4
Let h(k) = 2*k - 8. Let s be h(5). Let m(x) = 277*x + 1 - 3*x**s - 6*x**2 + 2*x**2 - 278*x. Let f(i) = -8*i**2 - i + 1. Calculate -4*f(b) + 5*m(b).
-3*b**2 - b + 1
Suppose 4*f + 8 = 0, c + 2*f - 60 = 2*c. Let k = 68 + c. Let t(u) = -k*u - 3*u + 8*u + u + 4. Let n(d) = 3*d + 8. Determine -3*n(b) + 5*t(b).
b - 4
Let k(p) = -2 - 2 + 0*p - 3*p + 0. Let y(r) be the first derivative of 25*r**2 - 23*r**2 - 69 + 21 + 6*r. What is 7*k(z) + 5*y(z)?
-z + 2
Suppose -41 + 7 = -r. Let m = -13 + r. Let w(u) = -m*u**2 - 6 - 6*u + 45*u**2 - 27*u**2. Let x(f) = 5*f**2 + 11*f + 11. Calculate 11*w(y) + 6*x(y).
-3*y**2
Let o(c) = 22*c**3 - 7*c**2 - c + 7. Let x(j) = 64*j**3 - 19*j**2 - 2*j + 21. What is -11*o(g) + 4*x(g)?
14*g**3 + g**2 + 3*g + 7
Let x(u) = 14*u**2 + 8*u - 30. Let q(h) = -5*h**2 - 3*h + 10. Suppose 4*z + 169 = 4*r + 153, 2*z - 4*r + 10 = 0. What is z*x(i) - 8*q(i)?
-2*i**2 + 10
Let s(h) = 16*h - 143. Let r(x) = 28*x - 280. Give 3*r(u) - 5*s(u).
4*u - 125
Let d(s) = -36*s**3 - 7*s**2 - 106*s + 2. Let b(i) = 43*i**3 + 8*i**2 + 105*i - 2. Calculate 5*b(u) + 6*d(u).
-u**3 - 2*u**2 - 111*u + 2
Let y(t) = 53*t - 2. Let p(h) = -18*h + 1. Calculate -9*p(b) - 3*y(b).
3*b - 3
Let n(k) = 1371*k + 9596. Let t be n(-7). Let h(g) = -7*g**3 + 4*g**2 + 4*g. Let q(f) = -f**3 + f**2. Determine t*h(v) + 5*q(v).
2*v**3 + v**2 - 4*v
Let z = -29307 - -29313. Let x(d) = -d**3 + 53*d + 6. Let m(a) = -a**3 + 54*a + 7. Calculate z*m(i) - 7*x(i).
i**3 - 47*i
Let s(p) = -22*p**2 - 1128*p - 9. Let c(r) = 31*r**2 + 1690*r + 13. Determine -5*c(f) - 7*s(f).
-f**2 - 554*f - 2
Let t(v) be the third derivative of v**4/24 + v**3/6 + 1371*v**2. Let i(r) = -11*r - 9. Give 4*i(q) + 36*t(q).
-8*q
Suppose 60*m + t + 10 = 56*m, -3*t - 3 = 3*m. Let i(f) = -f + 1. Let o(a) = -5*a + 4. Let r(u) = -u + 1. Let d be r(0). Give d*o(j) + m*i(j).
-2*j + 1
Let s(a) = -139*a - 6*a**2 - 127*a - 5*a**2 - 5 + 410*a - 135*a. Suppose 2*l = -f + 7, l = 4*f + 5*l - 24. Let i(x) = 6*x**2 - 5*x + 3. What is f*i(h) + 3*s(h)?
-3*h**2 + 2*h
Let x(g) = -3*g + 2141 - 21*g**2 - 1305 - 839. Let d(b) = 42*b**2 + 5*b + 5. Determine 3*d(s) + 5*x(s).
21*s**2
Let m(x) = -267*x**2 - 17*x - 3. Let t(f) = -1333*f**2 - 90*f - 16. What is -11*m(p) + 2*t(p)?
271*p**2 + 7*p + 1
Let u(t) = 18*t**2 - 5*t - 5. Let x(j) = 9*j**2 - 3*j - 3. Let c = 13184 - 13189. What is c*x(b) + 3*u(b)?
9*b**2
Let s = 162 - 157. Let y(j) = 3. Let v(n) = -14. Let h(x) = s*y(x) + v(x). Let b(d) = 4*d + 2. Calculate b(w) - 4*h(w).
4*w - 2
Let m(b) = -5*b. Let h(a) = -24*a. Let x = -99 + 67. Let l = 9 - x. Suppose -2*i - l = -3*o, -3*i + 4*o = 84 - 20. Give i*m(c) + 6*h(c).
-4*c
Let c(u) = 4*u - 2. Let v = -6 - -4. Suppose -71 + 79 = 4*g - 4*o, 4*g - 15 = -3*o. Let p(x) = 5*x - 2. Calculate g*p(f) + v*c(f).
7*f - 2
Let r(a) = -108*a + 332. Let h(o) = 85*o - 332. Calculate -5*h(x) - 4*r(x).
7*x + 332
Let t(k) = 8*k + 3. Let i(c) = 24*c + 10. Suppose 0 = -9*f + 28245 + 16350. Suppose 5*z - f + 4990 = 0. Give z*t(d) + 2*i(d).
-8*d - 1
Suppose 2*p - 4*w = 2 - 6, 5 = w. Let a(g) = 1 - 3 - p - 1 + g - g**3. Suppose -67*d = 99*d - 3652. Let j(o) = 1. Give d*j(c) + 2*a(c).
-2*c**3 + 2*c
Let x = -138 - -134. Let z(s) = -3*s - 3. Let a(l) = 2*l - 13. Let o(w) = w - 9. Let g(h) = 2*a(h) - 3*o(h). Give x*z(v) - 10*g(v).
2*v + 2
Let d(s) = -64339*s + 14. Let p(w) = 21466*w - 5. Calculate 5*d(m) + 14*p(m).
-21171*m
Let f(u) = 30*u - 32. Let l(w) = -w + 1. Let t(z) = -2*f(z) - 62*l(z). Suppose 29 = 4*m - k, -m - 12 = -2*m + 5*k. Let d(p) = 2*p + 2. Give m*d(v) - 6*t(v).
2*v + 2
Let o(z) = 4*z**2 + 2*z - 4. Let s(w) = -40*w**2 - 6*w + 17. Give -2*o(n) - s(n).
32*n**2 + 2*n - 9
Let y(q) = 19*q - 58. Let u(x) = -48*x + 115. Calculate 2*u(g) + 5*y(g).
-g - 60
Let y(g) = -3*g**2 - 17*g + 6. Let t(f) = -f**2 - 9*f + 2. Calculate 5*t(j) - 3*y(j).
4*j**2 + 6*j - 8
Suppose 20 = -6*y + 2*u, -u - 50 = -54. Let b(p) = p**3 - 4*p**2 - 2*p - 17. Let s(j) = 3*j**2 + 2*j + 16. Give y*b(m) - 3*s(m).
-2*m**3 - m**2 - 2*m - 14
Let o(l) = -6*l**2 - 30*l - 14. Let k(s) = 5*s**2 + 31*s + 15. Let q(v) = -4*k(v) - 5*o(v). Let n(x) = 2*x**2 + 5*x + 2. Determine -16*n(t) + 3*q(t).
-2*t**2 - 2*t - 2
Let v(y) = 4*y**3 - 3*y**2 + 7*y - 3. Let s(m) = -15*m**3 + 11*m**2 - 29*m + 11. Suppose 320*a - 12 = 318*a. What is a*s(x) + 22*v(x)?
-2*x**3 - 20*x
Let y(g) = 31*g + 1. Let s(v) = 13*v - 2*v - 5*v - 6*v + v. Calculate -s(f) - y(f).
-32*f - 1
Let p(z) = -38*z + 8304. Let j(c) = -7*c + 1662. Calculate 11*j(q) - 2*p(q).
-q + 1674
Let m(r) = r + 3*r - 1 - 3. Let n(f) = 49 + 23 - 2*f - 21 - 29 - 20. Determine 2*m(x) + 5*n(x).
-2*x + 2
Let p(b) = 75*b + 4. Let z(t) = -19*t - 1. Let f(x) = -p(x) - 4*z(x). Let l(m) = -8*m. Give -10*f(w) - l(w).
-2*w
Let c(x) = 29*x**3 + 36*x**2 - 26*x - 6. Let g(y) = 14*y**3 + 16*y**2 - 12*y - 3. Give -6*c(r) + 13*g(r).
8*r**3 - 8*r**2 - 3
Let k(x) = -22207*x - 11. Let z(j) = -3697*j - 2. Calculate -6*k(y) + 34*z(y).
7544*y - 2
Let i = 1667 + -1670. Let z(d) = d - 12. Let p(w) = w - 12. What is i*z(g) + 4*p(g)?
g - 12
Let i(a) be the third derivative of a**5/12 - a**4/24 - a**3/3 + 527*a**2 - a. Let x(z) = 4*z**2 - z - 2. Give 2*i(k) - 3*x(k).
-2*k**2 + k + 2
Let d(p) = 269*p + 5. Let l(v) = -404*v - 7. Calculate 7*d(w) + 5*l(w).
-137*w
Let x(y) = 328154*y**2 - 564*y - 1128. Let o(u) = 2904*u**2 - 5*u - 10. Give -564*o(w) + 5*x(w).
2914*w**2
Let q(y) = -7 + 13*y**3 - 12*y**2 - 5*y**3 + 11 + 8. Let t = 1 - 2. Let w(s) be the first derivative of -s**4/4 + s**3/3 - s - 498. Determine t*q(x) - 12*w(x).
4*x**3
Let b(w) = w. Let p(r) = 11*r**2 - 12*r + 94. Let v(i) = -3*i**2 + 3*i - 25. Let x(t) = -4*p(t) - 15*v(t). Calculate -5*b(m) + x(m).
m**2 - 2*m - 1
Let x(k) = -41*k - 17. Let h(d) = -61*d - 25. Let q(w) = -5*h(w) + 8*x(w). Let v(t) = -55073 - 55076 + 12*t + 165224 - 55069. Calculate -6*q(p) - 11*v(p).
6*p
Suppose 33 = 5*i + 3*p, 3*p - p - 10 = -2*i. Let h(l) = 45*l - 9. Let u(j) = 23*j - 4. Determine i*u(x) - 4*h(x).
27*x
Let r(j) = -23*j**3 - 17*j**2 + 53*j + 4. Let i(p) = 11*p**3 + 7*p**2 - 26*p - 2. Determine 9*i(q) + 4*r(q).
7*q**3 - 5*q**2 - 22*q - 2
Let m(i) = 3*i + 4. Let u be -50 + 57 + 1*487. Let d = 500 - u. Let n(s) = 3*s + 3. Give d*n(c) - 5*m(c).
3*c - 2
Let k = 1 - -5. Let o(j) = -7*j - 197. Let t be o(-28). Let a(x) be the first derivative of -x**2/2 - 4. Let v(l) = -7*l - 1. Give k*a(s) + t*v(s).
s + 1
Suppose -3*p + 19 