 21*r + 31. Let k(s) = -3*c(s) + 5*q(s). Determine n*k(m) - 4*t(m).
-3*m + 2
Let a(b) = -4*b**2 + 2*b. Let g(s) = 24*s**2 - 10*s + 7. Let i(r) = -7*r**2 + 3*r - 2. Let o(h) = 2*g(h) + 7*i(h). What is -a(z) + 3*o(z)?
z**2 + z
Let c(s) = 3*s**3 + s**2 + 5*s + 5. Let l(x) = 26*x**3 + 9*x**2 - 2*x + 7. Let b(h) = 6*h**3 + 2*h**2 + 2. Let n(o) = 9*b(o) - 2*l(o). What is -4*c(d) + 5*n(d)?
-2*d**3 - 4*d**2
Let p(d) = -3*d**3 + 2*d**2 - 2. Let z(q) be the third derivative of 23*q**6/120 - 17*q**5/60 + 17*q**3/6 - 194*q**2. Determine -51*p(k) - 6*z(k).
15*k**3
Let y(i) = 13*i**3 + 9*i**2 + 9*i - 4. Let m(q) = 7*q**3 + 4*q**2 + 4*q - 2. What is -9*m(r) + 4*y(r)?
-11*r**3 + 2
Let t(f) = -63*f**3 - 5*f**2 + 5*f + 6. Let k(p) = 62*p**3 + 4*p**2 - 4*p - 5. Give 5*k(m) + 4*t(m).
58*m**3 - 1
Let q(b) = 2*b. Let r(t) = 21*t + 54. Let u(x) = -6*x - 15. Let d(a) = -5*r(a) - 18*u(a). Calculate -6*d(s) + 7*q(s).
-4*s
Let l(y) = 2*y**2 - 68*y + 5. Let v be l(34). Let g(t) = 2*t**2 + 2*t. Let a(b) = 4*b**2 + 3*b. Give v*g(d) - 2*a(d).
2*d**2 + 4*d
Suppose 7*n = 8*n + 4. Let l(p) = -p - 1. Let s = -2 - -3. Let q(x) = -3*x**2 - 4*x - 4. What is n*l(k) + s*q(k)?
-3*k**2
Let d(j) = -5*j**3 - 8*j**2 + 8. Let r(c) be the third derivative of -11*c**6/120 - 17*c**5/60 + 17*c**3/6 - 10*c**2. Calculate 13*d(u) - 6*r(u).
u**3 - 2*u**2 + 2
Let l(b) = -1. Let v(m) = m**3 + 7*m**2 - 3*m - 49. Let t be v(-6). Let c(s) = -3*s - 5. Determine t*l(d) - c(d).
3*d
Let c be (-9)/10 + 1 + (-4452)/2120. Let i(v) = -3*v. Let f(u) = 3*u + 1. Give c*f(m) - 3*i(m).
3*m - 2
Let t(x) = 7*x**2 + 18*x + 226. Let g(o) = -3*o**2 - 8*o - 113. Give -9*g(z) - 4*t(z).
-z**2 + 113
Let v be (1 - 0)/((-21)/(-840)). Let m = 45 - v. Let f(x) = 6*x**3 - 5*x**2 + 3*x. Let z(n) = n**3 - n**2 + n. Give m*z(t) - f(t).
-t**3 + 2*t
Let j(u) = -u**2 - 7*u + 21. Let r(b) = -b**2 - 6*b + 20. Calculate -6*j(x) + 7*r(x).
-x**2 + 14
Let h(a) = a - 1. Let y(k) = k**2 - 6*k + 14. Let u(d) = 23*d - 1. Let s be u(0). Calculate s*y(j) - 6*h(j).
-j**2 - 8
Let n(t) be the first derivative of -6*t**4 - 2480. Let o(l) = l**3. Suppose 0 = 8*a - 3*a - 150. Calculate a*o(r) + n(r).
6*r**3
Let p(a) = 3*a**2 + 2*a + 2. Let n(c) = 2*c**2 + c + 1. Let u(m) = 3*m**2 + 16*m + 13. Let z be u(-4). Give z*p(d) + 4*n(d).
-d**2 - 2*d - 2
Let x(i) = 10*i**2 + 17*i + 3. Let q(f) = -19*f**2 - 38*f - 6. Calculate -4*q(n) - 9*x(n).
-14*n**2 - n - 3
Let r be 22 - (6/15 + 26/10). Let x(q) = q**3 - 1 - r*q**2 + 19*q**2. Let y(o) = 1. Determine -x(h) - y(h).
-h**3
Let w(j) = -j**3 + j**2 - j - 1. Let s(b) = -144*b**3 - 15*b**2 + 15*b + 15. What is s(o) + 15*w(o)?
-159*o**3
Let j(a) = -21*a - 3. Let q(k) = -43*k - 6. Determine 11*j(h) - 6*q(h).
27*h + 3
Let u be 3 + -10 + -47 + 57. Let c(i) = -12*i. Let j(z) = -13*z + 1. Give u*c(h) - 2*j(h).
-10*h - 2
Let x(o) = o**2 - 2. Let r(i) = -13*i**2 - 3. Calculate -2*r(a) + 2*x(a).
28*a**2 + 2
Suppose 10 = -0*l + 2*l. Let t(g) = 13*g + 3. Let r(q) = -452*q + 352*q - 1 + 94*q. Determine l*r(h) + 2*t(h).
-4*h + 1
Let j(g) = 2*g. Let d(o) = 3*o - 5. Let l(t) = d(t) + 2*j(t). Let v(f) = -6*f + 4. Calculate -2*l(i) - 3*v(i).
4*i - 2
Let o(z) = 5*z**3 - 2*z**2 + 4*z - 4. Suppose 11*t + 989 - 945 = 0. Let r(j) = j**3 - j**2 + j - 1. Give t*r(b) + o(b).
b**3 + 2*b**2
Let s(u) = -3 + 4 + 5*u + 6. Suppose 2*o + 10 = 0, -3*f + 4*o = 2*f - 15. Let x(w) = -5*w + 3 + 4*w - 2 - 2. What is f*s(i) - 6*x(i)?
i - 1
Let f(k) = -16*k**3 - 14*k**2. Suppose 3*a = -3*u + 15, 0 = -17*u + 15*u - 5*a + 7. Let q(j) = 3*j**3 + 3*j**2. Calculate u*f(b) + 28*q(b).
-12*b**3
Let k(s) = s. Let x be (-6)/4*-3*50/45. Let l(o) = 1. Calculate x*l(h) - k(h).
-h + 5
Let n(h) = -25*h + 2. Let q(v) = 30*v - 2. Calculate -3*n(z) - 4*q(z).
-45*z + 2
Let m(h) = -2*h + 3. Let z(q) = -q + 3. Let i(o) = -3*m(o) + 4*z(o). Let k(u) = 7*u + 13. Give -9*i(y) + 2*k(y).
-4*y - 1
Let k(t) = -8*t**2 + 4*t - 1. Let x(f) = -12*f**2 + 6*f - 1. Give 7*k(u) - 5*x(u).
4*u**2 - 2*u - 2
Let f(v) = 15*v - 1. Let m(b) = 15*b - 1. Let t(k) = -k**2 - 14*k + 441. Let a be t(-29). Determine a*m(l) - 5*f(l).
15*l - 1
Let g(m) = 45*m - 227. Let z be g(5). Let u(a) = -3*a - 3. Let c(j) = -j - 1. What is z*u(f) + 5*c(f)?
f + 1
Let j(v) = 2*v + 9. Let d be j(-2). Let r(y) = 35*y - 1 - 44*y - 2. Let a(b) = 17*b + 5. Determine d*r(s) + 3*a(s).
6*s
Let o(z) = 19*z**3 + 5*z**2 + 21*z - 12. Let n(l) = 10*l**3 + 3*l**2 + 11*l - 6. Let p(f) = -5*n(f) + 3*o(f). Let t(d) = d**3 + d - 1. Give -p(b) + 5*t(b).
-2*b**3 - 3*b + 1
Let v(s) = -s**3 + 3*s**2 - 27*s. Let l(i) = 2*i**3 - 5*i**2 + 40*i. Calculate -5*l(y) - 7*v(y).
-3*y**3 + 4*y**2 - 11*y
Let v(i) = 3*i. Let h(d) be the second derivative of 5*d**3/6 - 19*d. Suppose 3*x = -3*a + 12, 0*a - 1 = 2*a + 5*x. What is a*v(r) - 4*h(r)?
r
Let c(f) = -f**2. Let d(h) = -10*h**2 + 11. Let m(q) = -2*q**2 + 2. Let p = -30 - -41. Let t(n) = p*m(n) - 2*d(n). Calculate -7*c(r) + 4*t(r).
-r**2
Let h(y) be the third derivative of y**6/30 - y**5/20 - y**4/12 + 107*y**2. Let d(s) = 9*s**3 - 7*s**2 - 5*s. Give 2*d(c) - 5*h(c).
-2*c**3 + c**2
Let f(i) = -5*i - 1. Let n(g) = -4*g - 2. Let l(y) = 3*f(y) - 4*n(y). Let z(u) = -u - 3. Suppose 19 - 72 = -23*b + 39. What is b*l(j) + 7*z(j)?
-3*j - 1
Let d(q) = q + 562. Let o(k) = 2*k + 1133. What is 5*d(n) - 2*o(n)?
n + 544
Suppose 0 = -f + 2*b + 1 + 4, -5*b = -3*f + 12. Let v be (f - -9)*3/4. Let d(j) = j**3 - j - 1. Let i(r) = -4*r**3 + 4*r + 3. What is v*d(c) + 2*i(c)?
-2*c**3 + 2*c
Let t(r) = -5 + 0 + 3 - 6*r - r**2 + 16*r. Let j be t(9). Let q(i) = 1 - i + 8*i + 6 + 3*i**2. Let u(k) = -2*k**2 - 5*k - 5. Give j*u(g) + 5*q(g).
g**2
Let z(t) = 9*t**2 - 4*t - 2. Let q(i) = i - 1. Determine -5*q(c) - z(c).
-9*c**2 - c + 7
Let a(w) = -3*w - 1. Let l(n) = 5*n + 5. Let j(x) = 5*a(x) + 2*l(x). Let b(i) = -4*i + 4. Determine -7*b(u) + 6*j(u).
-2*u + 2
Let u(i) = -427*i. Let v(g) = g. Give u(k) + 305*v(k).
-122*k
Let j(c) = -2*c + 10. Let o(z) = -1. Let h be ((-10)/25 - -2)*-5. Determine h*o(n) - j(n).
2*n - 2
Let t(h) = 7 + 5*h**2 + 3*h**2 + 4*h - 11*h**2 - 7. Let j(b) = 2*b**2 - 4*b. Calculate -6*j(m) - 5*t(m).
3*m**2 + 4*m
Let s(l) = -3*l**3 + 6*l**2 + 6*l - 6. Let y(j) = 4*j**3 - 7*j**2 - 7*j + 7. Suppose 2*a + 18 = -4*v, -51*a + 39 = -56*a - 4*v. Give a*s(z) - 6*y(z).
-3*z**3
Let k(f) = -3*f + 1. Let o(u) = 311*u**3 - 2799*u + 933. What is 933*k(g) - o(g)?
-311*g**3
Let n(b) = 6*b**3 + b + 7. Let y(m) = 5*m**2 + 5 + m - 4*m**2 - m**2 + 4*m**3. Calculate -5*n(q) + 7*y(q).
-2*q**3 + 2*q
Let j(r) be the first derivative of -3*r**4/4 + 2*r**3/3 - 5*r**2/2 + r + 51. Let t(u) = -5*u**3 + 3*u**2 - 8*u + 2. What is 8*j(p) - 5*t(p)?
p**3 + p**2 - 2
Let z(i) = -215*i**3 + 4*i**2 + 4*i - 4. Let c(p) = p**3 - p**2 - p + 1. Give 12*c(g) + 3*z(g).
-633*g**3
Let l(f) be the second derivative of 5*f**4/6 + 8*f**3/3 - 8*f**2 + 2*f - 52. Let c be (1 - 6)*(-2)/(-2). Let q(m) = 3*m**2 + 5*m - 5. Give c*l(w) + 16*q(w).
-2*w**2
Let c(k) = k**2 - 5*k - 11. Let u(d) = -6*d**2 + 24*d + 56. Let n(q) = -11*c(q) - 2*u(q). Let h(w) = 3*w + 4. Calculate -5*h(j) + 2*n(j).
2*j**2 - j - 2
Let s(p) = 323*p**3 - 4*p**2 + 10*p. Let n(u) = -322*u**3 + 5*u**2 - 13*u. Calculate -4*n(j) - 5*s(j).
-327*j**3 + 2*j
Let t(x) = 37*x + 2. Let w(u) = 37*u + 2. Calculate 2*t(d) - 3*w(d).
-37*d - 2
Let v be (2/(-4))/(1/6). Let r(a) = -3*a**3 - 2*a**2 + 2*a - 2. Let n(u) = 9 - 4 - 3*u**3 - 7*u**2 + 4*u**2 + 0*u**3 - 8 + 3*u. Determine v*r(c) + 2*n(c).
3*c**3
Let g(h) = -h**3 - h**2 + 2*h - 2. Let p = -59 - -59. Suppose p = -0*b - 5*b - 25. Let i(l) = -2*l**3 - 2*l**2 + 5*l - 4. Give b*g(u) + 2*i(u).
u**3 + u**2 + 2
Let h be 4 - (6 + -1) - -3. Suppose 5*m - 1 = -26. Let v(g) = 4*g**2 - 3*g. Let y(t) = -t + 1 + 0 - 6*t + 9*t**2. Determine h*y(n) + m*v(n).
-2*n**2 + n + 2
Let p(b) = 3*b. Let y = -221 - -219. Let i(k) = 5*k. Calculate y*i(r) + 5*p(r).
5*r
Let s(n) = 278*n - 280*n - 5*n**2 + 3*n**2. Let y = 18 - 11. Let g(k) = 4*k**2 + 4*k. What is y*s(p) + 3*g(p)?
-2*p**2 - 2*p
Let w(c) = -14*c**3 + 4*c**2 + 4*c. Let f be w(-2). Suppose -f = 5*y - 35. Let b(g) = -20*g**2 - 17*g - 17. Let r(u) = -7*u**2 - 6*u - 6. Give y*r(z) + 6*b(z).
-z**2
Let b(v) = -v**2 - 4. Suppose -233*l + 226*l + 7 = 0. Let o(j) = 1. Give l*b(a) + 4*o(a).
-a**2
Let t(v) = -5*v**2 + 4*v - 1. Le