 - 3. What is 4*k(b) - 5*w(b)?
b**2 - 19*b + 3
Let n = -1 + 4. Let h(f) = 2*f**3 - 6*f**3 + 7*f + 2*f**n. Let d(l) = l**3 - 13*l**2 + 12*l + 14. Let v be d(12). Let p(x) = -x**3 + 3*x. Give v*p(o) - 6*h(o).
-2*o**3
Let x(h) = -3*h**2 + h + 1. Let w(q) = -10676*q**2 + 3454*q + 3454. Give 2*w(o) - 6908*x(o).
-628*o**2
Let w(t) = 3 - 2*t**2 - 1 - 6 - 3*t + 0*t. Suppose 3*s = -3, -5*s - 3 = 2*g - 4*s. Let i(y) = -1. Determine g*w(a) + 4*i(a).
2*a**2 + 3*a
Let z(p) = 2*p + 4 - p - 2 + 5*p. Let q(g) = -g - 9. Let y(h) = -10. Let a(l) = 7*q(l) - 6*y(l). What is 4*a(b) + 5*z(b)?
2*b - 2
Let j(o) = -7*o**2 - 2*o - 4. Let s be -5 - (3 + -5 - -1)*1. Let w(p) = 0 + p**2 + 3 - 2. Give s*w(f) - j(f).
3*f**2 + 2*f
Let v(c) = 12*c**2 - 8. Let z(l) = 4*l**2 - 3. Let p be -11 + -7 + 6 + 4. Give p*z(m) + 3*v(m).
4*m**2
Let p(z) = z. Let i(r) = 5*r - 118. What is -i(a) + 6*p(a)?
a + 118
Let i(l) = -66*l**2 - 27*l - 12. Let z(v) = 5*v**2 + 2*v + 1. Suppose 2*o + 19*s - 18*s + 6 = 0, 0 = -5*s - 10. What is o*i(f) - 27*z(f)?
-3*f**2 - 3
Let r(m) = m**3 - m**2 - m + 1. Let w(i) be the third derivative of 3*i**6/40 - i**5/12 - 5*i**4/24 + 5*i**3/6 + 2*i**2 + 4. Give -15*r(g) + 3*w(g).
12*g**3
Let m(s) = 2*s + 17. Let p(d) = d + 6. Let h(t) = -t**3 - 10*t**2 - 9*t + 11. Let w be h(-9). Calculate w*p(f) - 4*m(f).
3*f - 2
Let a = 136 + -137. Let t(u) = u**3 - u - 1. Let m(l) = -2*l**3 + 2*l. What is a*m(j) - t(j)?
j**3 - j + 1
Let q(u) = -3*u**3 + 4*u**2 - 9*u - 29. Let m(g) = 7*g**3 - 9*g**2 + 19*g + 60. Determine 4*m(p) + 9*q(p).
p**3 - 5*p - 21
Let w be 14/(-3)*180/120. Let f(g) = 29*g**2 - 15*g**2 + 3*g - 7 - 9*g - 18*g**2. Let a(b) = -3*b**2 - 4*b - 5. Give w*a(q) + 5*f(q).
q**2 - 2*q
Let p(z) = 47*z**3 - 10*z**2 + 7*z + 7. Let v(s) = 46*s**3 - 9*s**2 + 6*s + 6. Determine -6*p(f) + 7*v(f).
40*f**3 - 3*f**2
Suppose p = -d + 18, -3*p + 12*d - 7*d = -54. Let j(r) = -r**2 - r + 1. Let t(a) = 4*a**2 + 4*a - 4. Calculate p*j(i) + 4*t(i).
-2*i**2 - 2*i + 2
Let h(u) = 40*u**2 + 1 - 6*u**3 + 4*u**3 - u - 40*u**2. Let g(f) = f. Calculate -g(x) - h(x).
2*x**3 - 1
Let v(u) = u**2 + 8*u - 30. Let g(c) = -3*c**2 - 27*c + 89. What is -2*g(p) - 7*v(p)?
-p**2 - 2*p + 32
Let r be (-2)/(-3) - (-1 + (-15)/(-9)). Suppose 2*c - 180 = 6*i - 2*i, r = -2*c. Let n(a) = 5*a - 4. Let y(u) = 55*u - 45. Calculate i*n(k) + 4*y(k).
-5*k
Let g(d) = 3*d**2 + d + 8. Let p(b) = -2*b**2 + 11*b - 8. Let u(i) = -3*i + 1. Let n(m) = p(m) + 4*u(m). Determine 3*g(s) + 5*n(s).
-s**2 - 2*s + 4
Let f(z) = -1324*z**3 - 2*z**2 + 6*z. Let o(g) = 100623*g**3 + 153*g**2 - 459*g. Give -153*f(k) - 2*o(k).
1326*k**3
Let n(a) = -4*a + 2. Let s(f) = -5*f - 774 + 1551 - 776. What is 4*n(i) - 3*s(i)?
-i + 5
Let g(x) be the first derivative of -x**2 + 2500. Let s be (1 - 0) + (0 - 2). Let o(h) = -h. Give s*g(n) + 5*o(n).
-3*n
Let a(y) = -2 - 1 + 7 + y. Let d(z) = 2. Suppose 33 = -3*t + u, -5 = -5*t + 2*u - 61. Let i be (-2)/(-1)*(425/t)/(-17). What is i*d(k) - 2*a(k)?
-2*k + 2
Suppose 0 = -r + 3*h + 7, -46 = -5*r + 2*h + 2*h. Suppose r = -3*x + 1. Let a(p) = -p**2. Let u(y) = 3*y**3 + 3*y**2 - 2. What is x*a(b) - u(b)?
-3*b**3 + 2
Let i be ((-636)/51)/4 - 6/(-51). Let o(y) = 2*y**3 - 3*y**2. Let l(z) = -6*z**3 + 10*z**2. Calculate i*l(h) - 10*o(h).
-2*h**3
Let w(x) = -3*x**2 + 7*x + 3. Let c = 16 + -9. Suppose -22 = -24*r - 94. Let k(o) = -o**2 + 3*o + 1. Give c*k(j) + r*w(j).
2*j**2 - 2
Let r(s) = -13*s**2 + 4*s**2 + 4*s**2 - 3*s + 0*s. Let j(i) = -5*i**2 - 4*i. Calculate -3*j(l) + 4*r(l).
-5*l**2
Let t(d) = d + 1. Let l(a) = 2*a**3 + 39*a**2 + 23*a + 75. Let j be l(-19). Let m(o) = 32*o + 24. Give j*m(v) + 24*t(v).
-8*v
Let h(a) = -3*a**2 + 4*a + 1. Let n(w) = 9*w**2 - 11*w - 2. Let j = -1872 + 1875. What is j*n(i) + 8*h(i)?
3*i**2 - i + 2
Suppose -q + 5*q - 8 = 0. Let p(h) = 3*h + 6*h**q - 4*h**2 + 5*h**3 - 5*h. Let l(b) = -106*b**3 + b - b - b**2 + 105*b**3. What is 4*l(x) + p(x)?
x**3 - 2*x**2 - 2*x
Let x(r) = r**3 + r**2 + r + 1. Let o(s) = -7*s**3 - s**2 + 2*s - 2. What is -o(w) - x(w)?
6*w**3 - 3*w + 1
Let f be (336/54 - 6) + 61/9. Let b(x) = -4*x**2. Let w(p) = 11*p**2. Calculate f*b(d) + 2*w(d).
-6*d**2
Let b be (0 + (-8)/(-10))/(18/(-135)). Let y(d) be the second derivative of -d**3/2 + 5*d**2/2 + 9*d. Let t(u) = 3*u - 6. Calculate b*y(a) - 5*t(a).
3*a
Let o be (-2)/6 - 12/(-9). Let w(m) = -2 + 7*m + 3 - m**2 + 1 - 5*m. Let j(x) = -x**2 + x + 1. Let p = 7 + -9. What is o*w(d) + p*j(d)?
d**2
Let b(j) = 11*j**3 + 3*j**2 + 3*j. Let u = 391 + -423. Let i(n) = -120*n**3 - 32*n**2 - 32*n. What is u*b(g) - 3*i(g)?
8*g**3
Let y(r) = -r**2 + r + 4. Let s(l) = -13*l**2 + 6*l - 5. Calculate -s(n) - y(n).
14*n**2 - 7*n + 1
Let w(s) = -s + 1. Let t = 778 - 774. Let u(x) = -10*x + 5. What is t*w(o) - u(o)?
6*o - 1
Let o(a) be the first derivative of -2*a**2 + 8*a - 248. Let x(m) = m + 1. Determine o(t) + 2*x(t).
-2*t + 10
Let n(a) = 61*a - 14. Let h(j) = -122*j + 30. Calculate -6*h(c) - 13*n(c).
-61*c + 2
Let g(w) = 1 - 1 + w. Let u(h) be the third derivative of 0*h**3 - 1/8*h**4 + 0 - 5*h**2 + 1/30*h**5 + 0*h. Give -3*g(s) - u(s).
-2*s**2
Let l be (-5 - (0 + 0)) + (1 - 0 - 1). Let o = 13 + -7. Let k(q) = -4*q + 8. Let f(n) = -3*n + 7. What is l*k(w) + o*f(w)?
2*w + 2
Let g(t) = 8*t + 3. Let c(o) = -9*o - 3. Calculate -5*c(k) - 6*g(k).
-3*k - 3
Let m(k) = 193*k**2 + 47*k. Let v(l) = 65*l**2 + 16*l. Calculate -4*m(t) + 11*v(t).
-57*t**2 - 12*t
Let l(a) = 7*a**2 + 2*a - 7. Let u(b) = 13*b**2 + 3*b - 12. Calculate -7*l(v) + 4*u(v).
3*v**2 - 2*v + 1
Let m(q) = q + 2. Let d(j) = 201 - 387 + 188 + j. Determine -5*d(o) + 6*m(o).
o + 2
Suppose -18 - 37 = -5*p. Let a(i) = 9*i**3 - 13*i**2 + 11*i - 11. Let u(c) = 6 + c + 7*c**2 + 0 - 9*c + 2*c - 5*c**3. Determine p*u(g) + 6*a(g).
-g**3 - g**2
Let a(n) = -625*n**2 - 10. Let b(o) = 1248*o**2 + 18. Give -9*a(t) - 5*b(t).
-615*t**2
Let t = 3 - 9. Let g(w) be the second derivative of -w**5/20 + 3*w**2 - 2*w. Let h(l) = l**3 - 5. Give t*h(n) - 5*g(n).
-n**3
Let w(y) = 29*y**3 - 39. Let m(i) = -44*i**3 + 58. Calculate 5*m(n) + 7*w(n).
-17*n**3 + 17
Let f(c) be the third derivative of -c**4/8 - c**3/3 + 16*c**2. Let l(d) = -1. Calculate -f(s) + 4*l(s).
3*s - 2
Let a(l) = 34*l**2 - 13*l. Let i(d) = 33*d**2 - 13*d. What is 3*a(t) - 2*i(t)?
36*t**2 - 13*t
Let u(m) = -m. Let w(z) = 10*z - 7. Calculate 14*u(l) + 2*w(l).
6*l - 14
Let f(i) = 95*i + 3. Let a(s) = -288*s - 11. Determine 3*a(q) + 10*f(q).
86*q - 3
Let q(a) = -4*a + 3. Let b(w) = -6*w - 7. Let p(i) = -7*i - 9. Let y(u) = -5*b(u) + 4*p(u). Determine -2*q(g) - 5*y(g).
-2*g - 1
Suppose 758 + 82 = -35*w. Let k(i) = 32*i. Let r(s) = s. Give w*r(c) + k(c).
8*c
Let q(n) = 2*n**3 - 5*n**2 - 37*n - 5. Let a(r) = -4*r**3 + 6*r**2 + 37*r + 7. Determine -2*a(x) - 3*q(x).
2*x**3 + 3*x**2 + 37*x + 1
Let t(v) = -39*v**3 - 2*v**2 - 3. Let f(p) = 39*p**3 + 2*p**2 + 2. Determine 3*f(y) + 2*t(y).
39*y**3 + 2*y**2
Let v(i) = 4*i**2 + 2*i - 7. Let a(b) = -5*b**2 - 3*b + 7. Suppose 0 = -6*l + 77 - 95. Determine l*v(c) - 2*a(c).
-2*c**2 + 7
Suppose 25*k + 18 = 23*k. Let a be (-144)/(-112) - (k/(-7) - 1). Let s(i) = 3*i - 6. Let w(f) = -f + 1. Determine a*s(u) + 4*w(u).
-u - 2
Let h(l) = 0*l**2 - 5*l + 5*l - 5 + 4*l**2. Suppose 2*y + 40 = -2*v, 9*v + y + 37 = 7*v. Let f = 9 - 15. Let o(m) = -11*m**2 + 14. Determine f*o(k) + v*h(k).
-2*k**2 + 1
Let r = 7 - 13. Let l(b) be the first derivative of -4/3*b**3 + 3*b - 15 - 3/2*b**2. Let u(t) = 15*t**2 + 11*t - 11. Determine r*u(m) - 22*l(m).
-2*m**2
Let a(t) = -150*t**3 + 4*t**2 + 3. Let c(g) = 149*g**3 - 5*g**2 - 4. What is 4*a(m) + 3*c(m)?
-153*m**3 + m**2
Let i(d) = 7 + 2 - 65*d + 61*d - 5. Let o(f) = 5*f - 5. Suppose -l = l - 12. Determine l*i(r) + 5*o(r).
r - 1
Let d(j) = 3*j - 8. Let p(f) = -4*f + 7. Suppose 0 = -6*a - 1056 + 1038. Give a*d(m) - 2*p(m).
-m + 10
Let l(v) = 26*v + 122. Let g(w) = 8*w + 41. Calculate 8*g(p) - 3*l(p).
-14*p - 38
Let b(l) = -5*l - 6. Let t(x) = -x + 2. Give -b(p) + 2*t(p).
3*p + 10
Let p(q) = -11*q**2 + 14*q + 1. Let y(s) = 62*s**2 - 83*s - 6. Give 34*p(w) + 6*y(w).
-2*w**2 - 22*w - 2
Let f(o) = o**2 + o + 1. Let m(h) = -2*h**3 + 17*h**2 + 11*h + 9. What is 22*f(r) - 2*m(r)?
4*r**3 - 12*r**2 + 4
Let z(s) = 3*s**3 - 5*s**2 - 2*s - 7. Let p be (-14 - -5 - -12)/((-3)/4). Let a(u) 