- 1. Let w(n) = 4*n**3 + 43*n**2 + 12*n + 6. Calculate -2*w(m) - 9*x(m).
m**3 + 13*m**2 + 3*m - 3
Let l(p) = p**2 - 1. Suppose -46*f + 4*o + 8 = -44*f, 3*f = -5*o + 1. Let x(w) = w**2 + 4*w - 2. Calculate f*l(i) - x(i).
i**2 - 4*i
Let q(z) = -119*z**3 - 7 + 63*z**3 + 36*z**3 - 11 + 17*z**2 + 1. Let f(p) = -7*p**3 + 6*p**2 - 6. Determine 17*f(h) - 6*q(h).
h**3
Let r(j) = -186*j**3 + 3*j**2 + 6*j. Let p(y) = -13392*y**3 + 217*y**2 + 434*y. Determine 3*p(q) - 217*r(q).
186*q**3
Let t = 495 - 500. Let a(o) = -o**3 - 5*o**2 - 6*o + 6. Let m(q) = -q**3 - 4*q**2 - 5*q + 5. Give t*a(h) + 6*m(h).
-h**3 + h**2
Let q(m) = -19402*m**2 + 4539. Let d(z) = -77*z**2 + 18. Give -1513*d(s) + 6*q(s).
89*s**2
Let q(u) = 4*u**3 - 2*u**2 - 15*u + 2. Let k(m) = -21*m**3 + 11*m**2 + 76*m - 11. Give 6*k(v) + 33*q(v).
6*v**3 - 39*v
Suppose 5*s = 5 + 10. Let a(b) = -3*b + b**3 - b**3 + b + 5*b**s. Suppose n - 3 = 4*n. Let m(g) = -g**3. Calculate n*a(t) - 4*m(t).
-t**3 + 2*t
Suppose 11*q + 203 + 97 = 71*q. Let x(i) = 3*i - 6. Let t(m) be the second derivative of -m**3/2 + 5*m**2/2 - m. Calculate q*t(a) + 4*x(a).
-3*a + 1
Let g(p) = 8*p**3 - p**2 - p + 2. Let t(l) = -l**3 + l**2 - l - 2. Calculate g(w) + t(w).
7*w**3 - 2*w
Let n(o) = o**2 + 2*o - 4. Let d be ((-20)/15)/4*-6. Let u(a) = a. Let y(q) = d*u(q) - n(q). Let g(i) = -i**3 - i**2 + 1. Give g(z) - y(z).
-z**3 - 3
Let u(l) = -l + 4. Let y(s) = 4*s - 3 - 6 - 1 - 5. Let b(c) = c**2 + 6*c - 5. Let o be b(-9). What is o*u(f) + 6*y(f)?
2*f - 2
Let t be 2/(-6) - (-2)/6. Let q(p) = 3 - 2 + t*p + 7*p. Let w(i) = 15*i + 2. Suppose 43*s + 13 = 42*s. Determine s*q(r) + 6*w(r).
-r - 1
Let p(b) = -13*b**3 - 67*b**2 - 6*b - 10. Let v(d) = 4*d**3 + 22*d**2 + 2*d + 3. Give -2*p(z) - 7*v(z).
-2*z**3 - 20*z**2 - 2*z - 1
Let c(b) = 12*b**2 + b**3 - 46*b**2 + 5*b**2 + 11*b**2 - 3 + 20*b**2. Let v(u) = -2*u**3 - 5*u**2 + 7. Calculate -5*c(p) - 2*v(p).
-p**3 + 1
Let s(q) = -q + 1. Let j(l) = -6*l + 6. Let a = -2704 + 2690. Let n = -8 - -18. Suppose 0 = -4*k + n - 2. Calculate a*s(f) + k*j(f).
2*f - 2
Let f(n) be the second derivative of -n**4/2 + 7*n**3/6 + 5*n**2/2 - n. Let i(u) = 5*u**2 - 6*u - 4. Suppose 39*l + 20 = -175. Determine l*i(z) - 4*f(z).
-z**2 + 2*z
Let d(o) = 1. Let r(p) = 35*p - 2. What is -d(l) + r(l)?
35*l - 3
Let w(n) = 11*n + 11. Let y = -6 + 2. Let r(h) = 5*h + 5. Suppose -45*q + 18 = -43*q. What is q*r(s) + y*w(s)?
s + 1
Let h(j) = -3*j**2. Let s(p) = -p**2. Let o be 1/(-2)*2 - -5. Let u be -36*(1 + (-2)/o). Let r be (-1)/(2 - (-33)/u). What is r*h(q) + 17*s(q)?
q**2
Let q(v) = 2*v**2 - 5*v - 9. Let m(w) = -w**2 + 2*w + 4. Let t(s) = s**3 + 42*s**2 - 41*s + 88. Let g be t(-43). Calculate g*q(i) + 5*m(i).
-i**2 + 2
Let q(b) = b + 1. Let g(x) = 8*x + 1. Let i(t) = t - 1. Let c(z) = g(z) - 4*i(z). Let o = 16 + -4. Let n = 2 - o. What is n*q(k) + 2*c(k)?
-2*k
Let y(r) = 3*r**3 + 4*r**2 + 4*r + 194. Let m(d) = 3*d**3 + 5*d**2 + 5*d + 192. What is -4*m(w) + 5*y(w)?
3*w**3 + 202
Let x(d) = 2*d - 7. Let m(w) = w**2 - 2*w - 4. Let f be m(-3). Suppose l - f = -3*c, 4*c - 2 - 11 = -l. Let z(b) = b - 6. What is l*z(a) - 4*x(a)?
-3*a - 2
Let z(l) = 10*l. Let t be (-4)/(-26) + 1224/663. Let h(a) be the third derivative of 0*a + 7*a**t - 3/8*a**4 + 0 + 0*a**3. Determine 6*h(q) + 5*z(q).
-4*q
Let u(f) = -9*f**2 - 6*f + 7. Let l(v) = -19*v**2 - 13*v + 15. Let b be ((-50)/(-30))/((-1)/(-6)). Suppose -2*w + 16 = -b. Determine w*u(n) - 6*l(n).
-3*n**2 + 1
Let f(g) = -7*g + 35. Let v(t) = 17*t - 69. Give 10*f(c) + 4*v(c).
-2*c + 74
Let s(l) = 57*l + 258. Let q(v) = 7*v + 32. Give 33*q(y) - 4*s(y).
3*y + 24
Let l(c) = c**2 + 6*c + 2. Let d(r) = -r**2 - r. Let m(y) = -5*d(y) - l(y). Let f(x) = x**3 - 5*x**2 + 3. Determine -2*f(v) - 3*m(v).
-2*v**3 - 2*v**2 + 3*v
Let x(m) = -m**2 + 66*m - 2. Let n(w) = w + 1. Give -2*n(p) - x(p).
p**2 - 68*p
Let t(o) = o. Let m(n) = -3*n - 1. Suppose 3*b - 3*h - 6 = 0, 0*b - 3*b + h = 0. Determine b*m(z) - 2*t(z).
z + 1
Let y(n) = 411*n**3 - 11*n**2 + 5*n + 11. Let m(k) = 82*k**3 - 2*k**2 + k + 2. Calculate -11*m(v) + 2*y(v).
-80*v**3 - v
Let c(j) = 1639*j**3 + 5*j**2 - 5*j - 5. Let n(p) = 3278*p**3 + 11*p**2 - 11*p - 11. What is -11*c(o) + 5*n(o)?
-1639*o**3
Let t(f) be the first derivative of -f**3/3 + 2*f**2 + f - 215. Let y(j) = j**2 - 5*j - 2. Give 5*t(h) + 4*y(h).
-h**2 - 3
Let i(m) = m. Let o(s) = -4*s + 2. Let x be (-253)/(-44) + 2/8. Calculate x*i(t) + 2*o(t).
-2*t + 4
Let t(d) = 1. Let i(b) = -147*b + 5. Give i(f) - 5*t(f).
-147*f
Let n(q) be the second derivative of q**5/20 + q**4/12 + q**3/6 + q**2/2 + 163*q. Let p(l) = -4*l - 3*l**2 - 5*l**3 + 2*l**2 - 6 - 4*l**2. Give -4*n(s) - p(s).
s**3 + s**2 + 2
Let g(q) = 2*q**2 + q + 1. Let f(d) = -174*d**2 - 174*d - 174. Determine f(c) + 174*g(c).
174*c**2
Let j be -5 + (-63)/(-18)*(-48)/(-28). Let y(r) = -r + 1. Let d(b) = 2*b. Calculate j*y(g) - d(g).
-3*g + 1
Let j(i) = 4 - 3*i**2 - 2*i**2 - 3 + 4*i**2 - i. Let n(d) = 7*d**2 + 3*d - 3. What is 6*j(l) + 2*n(l)?
8*l**2
Let c(a) = 2*a**2 + 6*a + 251. Let j(q) = 4*q**2 + 15*q + 501. Calculate -5*c(g) + 2*j(g).
-2*g**2 - 253
Let b(l) = -l + 1. Let k(r) be the second derivative of -3/2*r**3 + 0 - 36*r + 4*r**2. What is 24*b(x) - 3*k(x)?
3*x
Let u(l) be the second derivative of -l**3/6 + l**2/2 - l. Let a(n) = 6*n - 8. Let w(x) = -12*x + 61. Let d be w(5). Calculate d*a(g) + 5*u(g).
g - 3
Let v(w) be the third derivative of -7*w**4/12 - 7*w**3/3 + 10*w**2. Let z be (14/21)/((-2)/(-9)). Let s(g) = -2*g - z*g - 5 + 0. Calculate -17*s(n) + 6*v(n).
n + 1
Let p(q) = -8*q**3 - q**2 + 12. Let d(l) = -l**3 + l**2 - 1. Determine -d(x) - p(x).
9*x**3 - 11
Let c(t) = 32. Let o(q) = -q. Determine c(j) - 3*o(j).
3*j + 32
Let f(q) = 2*q**3 + 2. Let y(j) = 5*j**3 + 2*j - 14. Give -f(v) + y(v).
3*v**3 + 2*v - 16
Let a(r) = 25*r + 7. Let y be a(3). Let p(g) = 4*g + 41 + 45 - y. Let k(w) = -3*w - 3. Let u = -6 - -8. What is u*p(i) + 3*k(i)?
-i - 1
Let v(i) = -359*i**2 - 6*i - 2. Let g(r) = 15080*r**2 + 255*r + 85. Calculate 6*g(h) + 255*v(h).
-1065*h**2
Let r(w) = -w**3 + 9*w**2 - 6*w. Let j(n) = -6*n**3 + 53*n**2 - 34*n. Determine -6*j(t) + 34*r(t).
2*t**3 - 12*t**2
Let w(m) = 23*m**2 + 2. Let b(p) = p - 1. Calculate 2*b(h) + w(h).
23*h**2 + 2*h
Suppose 4*k - 6*k + 3 = q, 0 = -3*k - q + 5. Let h(u) = -13*u + 9. Let s(w) = 4*w - 3. What is k*h(o) + 7*s(o)?
2*o - 3
Let o(x) = 24*x**3 + 4*x**2 - 3. Let r(n) = 46*n**3 + 7*n**2 - 5. Calculate -7*o(z) + 4*r(z).
16*z**3 + 1
Suppose 3*y + 5 - 2 = 0. Let b be 3/9 - 16/(-6). Let x(n) = n**3 + 3*n**2 + 3*n + 3. Let h(r) = r**2 + r + 1. Calculate b*h(l) + y*x(l).
-l**3
Let y(m) = -2*m**2 - 5*m - 6. Let a(p) = p**2 + 3*p + 4. Give -6*a(w) - 4*y(w).
2*w**2 + 2*w
Let h(o) = -o**3 + 3*o**2 - 3. Suppose -5*a = -9*n + 6*n - 15, -5*a = -5*n - 15. Let y(p) = -p**3 + p**2 - 1. What is a*y(l) - h(l)?
-2*l**3
Let l(s) = -31*s - 68. Let b(d) = 8*d + 17. Calculate -9*b(p) - 2*l(p).
-10*p - 17
Let x(u) = -3*u**2 - 8*u - 16. Let o(n) = -7*n**2 - 14*n - 31. Give -4*o(i) + 7*x(i).
7*i**2 + 12
Let t(c) = 8*c + 1. Let a = 706 + -700. Let m(u) = -u. Determine a*m(k) + t(k).
2*k + 1
Let b(g) be the second derivative of -5*g**3/3 + g**2 - 135*g. Let d(z) = -15*z + 3. What is 8*b(l) - 5*d(l)?
-5*l + 1
Let y(p) = p**3 - 5*p**2 + 4*p + 5. Let o(j) be the second derivative of -j**5/20 + j**4/3 - j**3/2 - 2*j**2 + 570*j. Calculate 5*o(v) + 4*y(v).
-v**3 + v
Suppose -56*o + 55*o + 2 = 0. Let f(x) = x - 1. Let k(j) = j - 1. What is o*k(w) - 4*f(w)?
-2*w + 2
Let n(p) = p. Let r(i) = i + 4. Let j be r(-9). Suppose 30 = 5*z + 2*a, -2*z + 0 = a - 13. Let g(v) = z*v - 10*v + 3*v. Determine j*n(t) - 2*g(t).
t
Let q(s) = -1. Let w(h) = 5*h - 10. Let b(p) = -p + 1. Let a(g) = -6*b(g) - w(g). What is -2*a(x) - 4*q(x)?
-2*x - 4
Let t(v) = 10*v - 14. Let d(q) = 41*q - 58. What is -2*d(j) + 9*t(j)?
8*j - 10
Let z(i) = -i**2 - 3*i - 3. Let g(l) = 7*l + 7. Let t(b) = 6*b + 6. Let x(q) = 5*g(q) - 6*t(q). Determine 3*x(p) - z(p).
p**2
Let g(x) = -33*x**3 + 7*x**2 - 3*x - 2. Let f(t) = 49*t**3 - 10*t**2 + 4*t + 3. Calculate 5*f(v) + 7*g(v).
14*v**3 - v**2 - v + 1
Let n(a) = -10*a**3 + 20*a**2 + 331*a - 5. Let v(c) = -5*c**3 + 8*c**2 + 165*c - 2. Determine 2*n(s) - 5*v(s).
5*s**3 - 163*s
Let l(g) = 712*g**3 - 3*g**2 - 1. Let 