 7. What is d*y(p) + 6*w(p)?
2*p**3 + p**2 + 3*p
Let n(p) = p - 1. Let z(y) = y - 81 + 77 + 6*y - 2*y. Calculate -6*n(i) + z(i).
-i + 2
Let w(o) = -8*o**2 + 12*o - 12. Let i(a) = a**2. Let p(q) = i(q) - w(q). Let j(b) = -b**2 + b - 1. Let y = -103 + 102. Calculate y*p(x) - 12*j(x).
3*x**2
Let o(p) = -p**2 + p - 1. Let s = -15 - -23. Let n(y) = -2 - 4 + s. Calculate n(h) + 2*o(h).
-2*h**2 + 2*h
Let x(u) = -11*u**2 - 8*u - 6. Let n(i) = 4*i**2 + 3*i + 2. Calculate -8*n(j) - 3*x(j).
j**2 + 2
Let i(q) = 8*q**2 - 20*q. Let h(y) = y. Give -80*h(k) - 4*i(k).
-32*k**2
Suppose 3*j - 5*l - 54 = 0, -2*j = -0*j - 3*l - 35. Let d(r) = -2*r**2 - 13*r. Let b(h) = -h**2 - 6*h. What is j*b(p) - 6*d(p)?
-p**2
Let h(w) = 5*w**3 + w**2 + 3*w + 3. Let x(q) = -q**3 + q**2 - q - 1. Calculate h(i) + 3*x(i).
2*i**3 + 4*i**2
Let j be (-3)/(-3) - (1 - 1). Let o(i) = 3*i. Let y be o(j). Let a(m) = m**3 + 6*m**2 - 4. Let h(w) = 5*w**2 + 0*w**3 + w**3 - 1 - 2. Give y*a(r) - 4*h(r).
-r**3 - 2*r**2
Let w(i) = -i**2 + i + 3. Let y(q) = -q**2 - 4*q + 8. Let b(f) = -f**2 - 3*f + 7. Let n(s) = -5*b(s) + 4*y(s). Give 3*n(x) + 4*w(x).
-x**2 + x + 3
Let f(h) be the third derivative of -h**4/24 - h**3/3 - 9*h**2. Let g(m) = m + 4. Give -5*f(w) - 3*g(w).
2*w - 2
Let n(w) = w + 2. Let i be 909/99 - (-2)/(-11). Let u(a) = 2*a + 11. Let f(g) = 3*g + 22. Let p(j) = i*u(j) - 4*f(j). Give 11*n(y) - 2*p(y).
-y
Let r(g) = -4*g**2 - 5*g. Let t = 8 - 6. Let y(f) = -3*f + 5*f - 3*f**2 + t*f**2 + 3*f**2. Give 3*r(m) + 7*y(m).
2*m**2 - m
Suppose 4*m - 5*x = 9, -3*m - 5*x = 2 - 35. Let g(z) = 5*z + 8. Let k(w) = -w + 1. Let h(c) = -c - 10. Let a(v) = -h(v) - 3*k(v). What is m*g(u) - 7*a(u)?
2*u - 1
Suppose 0 = 7*s - 12*s - 5. Let x(r) = r**2 - 1. Let g(t) = -t**3 + 7*t**2 - 2*t - 6. Determine s*g(y) + 6*x(y).
y**3 - y**2 + 2*y
Let y(g) = -2*g**3 - 2*g**2 + 5*g + 1. Let m(l) = -l**3 - l**2 + 3*l + 1. Let o = -28 - -62. Let k be (-14)/35 - o/(-10). Determine k*y(t) - 5*m(t).
-t**3 - t**2 - 2
Let x(f) = 8*f - 2. Let i be (-4 - -3)/(1/(-4)). Suppose -2*t - i = 2*t. Let o be (-12)/14*(-8 - t). Let n(c) = 15*c - 4. Determine o*n(g) - 11*x(g).
2*g - 2
Let w(o) = 4*o**3 - 2*o**2 + 1. Let f(d) = d**3. Let b(g) = g**2 + 12*g + 8. Let a be b(-11). Determine a*f(m) + w(m).
m**3 - 2*m**2 + 1
Let r(d) = 4*d**3 + 5*d**2 + 6*d - 8. Let p(t) = 3*t**3 + 4*t**2 + 5*t - 7. Give 6*p(a) - 5*r(a).
-2*a**3 - a**2 - 2
Let s(d) = -32*d**2 - 4. Let u(j) = j**2 - 1. Calculate -s(k) + 4*u(k).
36*k**2
Let q(u) = -4*u**3 + 15*u**2. Let j(i) = -21*i**3 + 75*i**2 + i. Calculate -2*j(s) + 11*q(s).
-2*s**3 + 15*s**2 - 2*s
Let b(o) = o - 1. Let c(j) be the second derivative of j**2/2 + 2*j. Give 3*b(t) + 5*c(t).
3*t + 2
Let v(o) = -2*o**3 + o**2. Let h(z) = z**3 + z**2. What is -3*h(m) + v(m)?
-5*m**3 - 2*m**2
Let b(t) = -t**2 + t + 1. Let v be 45/35 + (-2)/7. Let z(x) = x - 1. Let q(r) = -4*r**2 + 7*r + 5. Let d(j) = q(j) - z(j). Determine v*d(k) - 6*b(k).
2*k**2
Let g(b) = -12*b**2 + 2*b + 7. Let a(y) = -6*y**2 + y + 4. What is -7*a(w) + 4*g(w)?
-6*w**2 + w
Let c(y) = 19*y + 6. Let n(i) = -39*i - 12. What is -13*c(l) - 6*n(l)?
-13*l - 6
Let m(t) = t**3 - 4*t**2 + 5*t - 6. Let b = -4 - -1. Let n(j) = j**3 - 3*j**2 + 4*j - 5. Determine b*m(l) + 4*n(l).
l**3 + l - 2
Let j(q) = 44*q - 4. Let s(l) = -29*l + 3. What is 5*j(a) + 7*s(a)?
17*a + 1
Suppose -j - 8 = -13, 0 = -r + j - 6. Let i(c) = 6*c**3 - 12*c**2 - 12. Let q(w) = -w**2 - 1. Calculate r*i(n) + 12*q(n).
-6*n**3
Let y(g) = -3*g**2 - 2*g - 1. Let j(v) = -6*v**2 - 5*v - 2. What is -2*j(n) + 5*y(n)?
-3*n**2 - 1
Let h be 0 + 10 + -2 + 0. Let i(r) = -1. Let o(s) = -6*s - 6. Let v(u) = 6*i(u) - o(u). Let x be -1 + 1 + 4 + -3. Let w(c) = -c. Determine h*w(y) + x*v(y).
-2*y
Let d(y) = -175*y**3 - 7. Let q(u) = -87*u**3 - 4. What is -4*d(s) + 7*q(s)?
91*s**3
Let g(n) = -n**3 - n**2 - n. Let c(y) = -y**2 + 4*y + 6. Let x be c(5). Let k(w) = -9*w**3 - 6*w**2 - 6*w. Determine x*k(m) - 6*g(m).
-3*m**3
Let r be (1 - 24/7) + 153/357. Let l(y) = 2*y - 2. Let i(j) = -5*j + 0 + 4*j + 1. Calculate r*l(m) - 3*i(m).
-m + 1
Let o(l) = -l**3 + 8. Let s(m) = m**3 - 4. Determine 3*o(z) + 5*s(z).
2*z**3 + 4
Suppose -114 = -6*q - 18. Let w(d) = 6*d**3 - 26*d + 16. Let m(n) = n**3 - 5*n + 3. Calculate q*m(j) - 3*w(j).
-2*j**3 - 2*j
Let w(q) = -16*q - 1 + 0 + 10*q**2 + 17. Let c(n) = -11*n**2 + 10*n - 15. Let v(a) = -6*a**2 + 5*a - 8. Let s(u) = -3*c(u) + 5*v(u). Give 16*s(b) - 5*w(b).
-2*b**2
Let s(j) = -4*j**3 - 5*j. Let k(r) be the third derivative of -r**6/30 - r**4/4 - 3*r**2. Give -5*k(u) + 6*s(u).
-4*u**3
Let p(y) = 7*y**3 - 2*y**2 + 3*y - 2. Let r(i) = -8*i**3 + 3*i**2 - 4*i + 3. Let o be (15/(-10))/(-2 - 15/(-6)). What is o*p(q) - 2*r(q)?
-5*q**3 - q
Let l(g) = -4*g**3 - 5*g**2 - 3*g. Let x(k) = -k**3 - k**2. Calculate l(n) - 5*x(n).
n**3 - 3*n
Suppose 3*y = -13*y + 80. Let z = -5 + 8. Let w(u) = -7*u + 13. Let t(q) = -3*q + 7. Let j(i) = -11*t(i) + 6*w(i). Let m(r) = 5*r - 1. Give y*m(h) + z*j(h).
-2*h - 2
Let j(v) = 8*v + 5. Let g(m) be the third derivative of m**4/24 + m**3/6 - 22*m**2. Give 5*g(h) - j(h).
-3*h
Suppose -8 = -d - 1. Let p = d - 5. Let i(g) = 4*g. Let b(u) be the second derivative of -5*u**3/6 - u. Give p*b(h) + 3*i(h).
2*h
Let l be 14/7 + 4/1. Let z(r) = 3*r**2 - 6. Let o(s) = 3 + 2*s**2 + 0 + 4 - 6*s**2. Determine l*z(k) + 5*o(k).
-2*k**2 - 1
Let k(h) = -2*h**2 + h - 1. Let r(j) = 2*j. Let t be r(2). Let y(x) = -3*x**2 + 2*x - 2. Give t*k(s) - 3*y(s).
s**2 - 2*s + 2
Let d(c) = -2*c**3 - 6*c**2 - 2*c + 3. Let x(g) = 5*g**3 + 13*g**2 + 5*g - 7. Calculate 9*d(l) + 4*x(l).
2*l**3 - 2*l**2 + 2*l - 1
Let a(o) = -7*o**3 + 5*o**2 + 5*o - 5. Let z(s) = 6*s**3 - 4*s**2 - 4*s + 4. Determine 4*a(c) + 5*z(c).
2*c**3
Let l(j) = -36*j**3 + 2*j**2 + 2*j - 2. Let k(b) = 2737*b**3 - 153*b**2 - 153*b + 153. Give 2*k(q) + 153*l(q).
-34*q**3
Let m(q) = 2*q**3 + 3*q**2 + 5. Let k(i) be the third derivative of -i**6/40 - i**5/12 - 3*i**3/2 - 29*i**2. Give -3*k(y) - 5*m(y).
-y**3 + 2
Let q(l) = -30*l + 2. Let m(b) = 61*b - 5. Determine -2*m(c) - 5*q(c).
28*c
Let d(z) = -11*z**2 - 5*z + 11. Suppose 16 = -3*w + 1. Let k(g) = -7*g**2 - 3*g + 7. Give w*d(h) + 8*k(h).
-h**2 + h + 1
Let b(a) = 20*a - 114. Let i(p) = 7*p - 38. Determine -6*b(w) + 17*i(w).
-w + 38
Let u(v) = 4*v**2 + 3*v - 7. Let f(m) = -2*m**2 - 2*m + 4. Calculate 5*f(s) + 3*u(s).
2*s**2 - s - 1
Let o(z) = 2*z + 2. Let q(g) = -g - 1. Determine 6*o(v) + 14*q(v).
-2*v - 2
Let a(y) = 4*y + 6. Let j(d) = d. What is a(b) - 3*j(b)?
b + 6
Let a be (-8)/1 - 2/(-1). Let s(b) = -7*b + 2. Let k(i) = i. Let f(g) = g + 11. Let u be f(-12). Give a*k(t) + u*s(t).
t - 2
Let p(v) = 20*v + 17. Let l(z) = 13*z + 11. What is 8*l(b) - 5*p(b)?
4*b + 3
Let b be -1 - (-1 - -3) - 2. Let l(w) = -w. Let d(f) = 5*f. Let g(q) = 6*q. Let m(v) = 5*d(v) - 4*g(v). Calculate b*l(x) - 4*m(x).
x
Let r(t) = t**2 + t - 3. Let h(a) = a**2 + 1. Give 5*h(f) + r(f).
6*f**2 + f + 2
Let h(m) = -5*m**2 + 20*m - 5. Let r(q) = 4*q**2 - 20*q + 4. Determine -3*h(f) - 4*r(f).
-f**2 + 20*f - 1
Suppose -1 = -2*v + 11. Let q(x) = -4*x - 7. Let r(a) = a - 6*a + 2*a - 6. Determine v*r(s) - 5*q(s).
2*s - 1
Let i be 4 - (12/(-4))/(-3). Let u(z) = z - 3. Let v(o) be the third derivative of o**4/24 - o**3/3 - 4*o**2. Calculate i*v(p) - 2*u(p).
p
Let q(b) = b - 1. Let f(i) = 9*i**2 - 8*i - 1. Let u(z) = -4*z**2 + 4*z. Let x(y) = 3*f(y) + 7*u(y). Determine -5*q(w) + x(w).
-w**2 - w + 2
Let k(v) = -8*v**3 + v**2 - 7*v + 6. Let u(j) = j**3 + j - 1. Suppose -2*g - s = 6, -9 = g + 2*s - 0*s. Calculate g*k(i) - 6*u(i).
2*i**3 - i**2 + i
Let a(h) = h**2 - h. Let s(k) = 4*k**3 + 6*k**2 - 6*k. Determine -6*a(g) + s(g).
4*g**3
Let k(n) = -5*n**2 + 11*n + 17. Suppose 3*x - 32 = -4*h, -5*h - 3*x + 52 = 9. Let c(s) = -2*s**2 + 4*s + 6. Determine h*c(o) - 4*k(o).
-2*o**2 - 2
Let i(z) = -z**2 + 5*z - 3. Let m(p) = 2*p**2 - 6*p + 4. Let u be 0 - (2 + 1 - 6). Give u*m(k) + 4*i(k).
2*k**2 + 2*k
Let t be 1/((12/15)/4). Let b(f) = 5*f**2 - 3*f + 1. Let i(x) = -5*x**2 - 4*x**2 + 2*x - 2 + 3*x. Give t*b(l) + 3*i(l).
-2*l**2 - 1
Let q(f) = 4*f - 3*f - 5 + f. Let d(h) = -1. Let r = -3 + 7. Suppose -5*g - 3 + 29 = 4*c, r*g = -2*c + 16. Give c*d(t) - q(t).
-2*t + 1
Let v(g) = 27*g + 6. Let n(q) = -13*q - 3. Calculate 5*