- 7. Let c(d) = -2*o(d) + 7*v(d). Determine 2*c(z) - 3*m(z).
-2*z**2 + 2*z
Let k(g) be the third derivative of -g**6/60 + g**4/8 - 3*g**3/2 - 17*g**2. Let r(z) = -z**3 + z - 4. Determine 4*k(j) - 9*r(j).
j**3 + 3*j
Let a(p) = 6*p**3 + 5*p**2 - 5. Let d(i) = -12*i**3 - 9*i**2 + 9. Calculate -9*a(j) - 5*d(j).
6*j**3
Let y(o) = o - 1. Let k(f) = 3*f - 24. Calculate k(p) - y(p).
2*p - 23
Let r(l) = -2*l**2 - l. Suppose -3*q - h - 4*h + 21 = 0, -5*q + 5*h - 5 = 0. Let u(z) = 0*z + 4*z**q - 3*z**2 + z. Give r(t) + u(t).
-t**2
Let i(m) = -m. Let y(l) = -4*l - 1. Let w(q) = q**3 + 3*q**2 + q + 4. Let b be -1*1 - 6/3. Let u be w(b). Calculate u*y(h) - 2*i(h).
-2*h - 1
Suppose -20 - 5 = -4*v + o, o = -5*v + 20. Let a(b) = 3*b**3 - 5*b**2 + 5. Let m(g) = -g**3 + 2*g**2 - 2. Let c be (4/10)/((-2)/(-10)). Give c*a(f) + v*m(f).
f**3
Let r(y) be the second derivative of y**4/12 - y**2 - 76*y - 2. Let h(m) = 4*m + 0*m - 5*m. What is -2*h(a) - r(a)?
-a**2 + 2*a + 2
Let i(n) = -6*n**3 + 5*n**2 + 6*n + 4. Let x(r) = -7*r**3 + 6*r**2 + 7*r + 4. What is -6*i(p) + 5*x(p)?
p**3 - p - 4
Suppose -3*k = -7*k. Let x(t) = 3 - 2*t + k*t - 1 + 3*t. Let z(f) = f - f + f + 0. Determine -x(o) + 3*z(o).
2*o - 2
Suppose 240 - 210 = -6*v. Let d(r) = -r**3 + 6 - 2*r + 2*r**3 - 2*r. Let f(i) = i**3 - 3*i + 4. Give v*d(s) + 7*f(s).
2*s**3 - s - 2
Let p(h) = 12*h**2 - 4*h**2 - 2*h**3 - h**3 - 5*h**2. Let u(c) = 6*c**3 - 5*c**2. Determine -5*p(y) - 3*u(y).
-3*y**3
Let x(f) = f**2 + f - 1. Let y(a) = a**2 + a + 1. Let v(j) = 6*j**2 + 5*j - 13. Let q(b) = v(b) + 4*y(b). Give -2*q(n) + 18*x(n).
-2*n**2
Let z(c) = -7*c**3 + 4*c. Let w(u) = 7*u**3 - 3*u. Give -4*w(j) - 3*z(j).
-7*j**3
Let i(r) = r**3 + r - 1. Let w(g) = -4 + 3 - g**3 - 15*g**2 + 0*g**3 + g + 14*g**2. Give i(y) - w(y).
2*y**3 + y**2
Suppose -1 - 2 = q. Let j(t) = -t**2 + 5*t - 3. Let x(v) = -2*v**2 + 11*v - 7. What is q*x(r) + 7*j(r)?
-r**2 + 2*r
Let r(g) be the first derivative of -g + 1. Suppose -2*z = -2*y + 8, -2*z - z = 0. Let s(u) = u + 1 - y - u**2 - u**2. Calculate 5*r(c) - s(c).
2*c**2 - c - 2
Let f(j) = -10*j**2 + 7*j - 4. Let l(d) = -3*d**2 + 2*d - 1. Suppose 0*c = -4*c + 8. Calculate c*f(w) - 7*l(w).
w**2 - 1
Let a(i) = 2*i**3 - 7*i**2 + 4*i. Let g(c) = c**3 - 6*c**2 + 3*c. Give 2*a(v) - 3*g(v).
v**3 + 4*v**2 - v
Let d(n) = 5*n**2 + 4*n. Let i(z) = -19 - 14 + 33 - 9*z**2 - 7*z. Give 7*d(o) + 4*i(o).
-o**2
Let g(j) = -8 + 0*j + 7 - j. Let c(o) be the second derivative of o**4/6 + 7*o**3/6 + 3*o**2 - 16*o. What is -c(x) - 6*g(x)?
-2*x**2 - x
Let a(o) = 12*o + 3. Let y(u) = u + 1. Determine -a(c) + y(c).
-11*c - 2
Let w(u) = -3*u**2 - 2*u - 1. Let r(n) = -10*n**2 - 7*n - 4. Determine 2*r(a) - 7*w(a).
a**2 - 1
Let p(z) = 4*z**2 - 3*z + 1. Let b(v) = -3*v**2 + 2*v. Suppose -2 - 4 = 3*j. Let y be (6/9)/(8/(-36)). What is j*p(a) + y*b(a)?
a**2 - 2
Let m(i) = 4*i**3 - 5*i**2 + 2. Let b(c) = 8*c**3 - 9*c**2 + 6. Let o(s) = 9*s**3 - 10*s**2 + 7. Let u(p) = -4*b(p) + 3*o(p). Determine 6*m(k) + 5*u(k).
-k**3 - 3
Suppose 0*m + 6 = 3*m. Let l(t) = -3*t + 1 + 2 - 2*t**m + 4*t**2 - 2. Let j(a) = -3*a**2 + 5*a - 2. Calculate -5*j(s) - 8*l(s).
-s**2 - s + 2
Let w(b) = b. Let v(l) = -6*l - 8. Calculate v(p) + 8*w(p).
2*p - 8
Suppose -2*w + 10 = 2*m - 8, w - 2*m + 3 = 0. Let r(f) = -8*f**2 + 5. Let h(s) = 4*s**2 - 2. Give w*h(z) + 2*r(z).
4*z**2
Let v(z) = -3. Let r(p) = -p + 2. Determine 5*r(x) + 4*v(x).
-5*x - 2
Let p(l) = -12*l - 9. Let h(d) = 8*d + 6. Let q(z) = 7*h(z) + 5*p(z). Let o(c) = 17*c + 13. What is 2*o(i) + 9*q(i)?
-2*i - 1
Let x(s) = -13*s**3 + 4*s**2 + 4*s + 11. Let q(t) = -25*t**3 + 7*t**2 + 7*t + 21. Calculate -4*q(m) + 7*x(m).
9*m**3 - 7
Let l(z) = -6*z + z**2 + 6*z. Let s(p) = 5*p**2 - p. Calculate -6*l(u) + s(u).
-u**2 - u
Let f(o) = -2*o**2 - 2*o - 2. Let n(j) = 0*j**2 + 37*j - 6 + 2*j**2 - 42*j - 8*j**2. Give -11*f(l) + 4*n(l).
-2*l**2 + 2*l - 2
Let x = 7 + -15. Let j = -6 - -3. Let t(g) = -10*g**3 + g + 7*g - 4*g**3. Let q(h) = 5*h**3 - 3*h. Give j*t(n) + x*q(n).
2*n**3
Suppose 0 = q - 4*k + 11, 2*k + 0*k = -q + 7. Let y(m) = -q + 3*m + 8*m**2 + 3*m - m + 6. Let v(f) = f**2 + f + 1. What is 5*v(t) - y(t)?
-3*t**2
Let o(i) = 19*i**3 - 2*i**2 + 1. Let u be o(1). Let n = u + -7. Let s(d) = 9*d - 9. Let x(f) = 5*f - 5. What is n*x(w) - 6*s(w)?
w - 1
Let j(f) = -13*f**3 + 7*f**2 + 7*f + 3. Let p(d) = 7*d**3 - 4*d**2 - 4*d - 1. Calculate -4*j(l) - 7*p(l).
3*l**3 - 5
Let x(t) = 4*t**3 - 3. Let u = 70 + -73. Let o(b) = 5*b**3 + b**2 - 4. Determine u*o(w) + 4*x(w).
w**3 - 3*w**2
Let v(w) = w**3 + w. Let g(q) = -3*q**3 + 2*q**2 - 4*q. Let l be 3/(-3)*2*-4. Suppose m + l = 7. Give m*g(c) - 2*v(c).
c**3 - 2*c**2 + 2*c
Let l(o) = 31*o - 2. Let t(h) = 93*h - 7. What is -7*l(f) + 2*t(f)?
-31*f
Let x(f) = 5*f**3 - 2*f**2 - 5*f. Let q(i) = 20*i**3 - 9*i**2 - 21*i. Calculate -2*q(d) + 9*x(d).
5*d**3 - 3*d
Let t(s) = 7*s**2 + 5*s + 5. Let c(h) = 3*h**2 + 2*h + 2. Let f be -9 + (0 - 3 - -6). Give f*t(k) + 15*c(k).
3*k**2
Let t be 1/(((-6)/(-22))/(-3)). Let x(q) = -4*q + 9. Let m(h) be the second derivative of h**3/3 - 5*h**2/2 + 13*h. What is t*m(f) - 6*x(f)?
2*f + 1
Let a(s) = -3*s**2 + 3*s - 3. Let k = -4 - -6. Let b(n) = -4*n**2 + 2*n - 2. Let w(i) = k*a(i) - 3*b(i). Let v(d) = 2*d**2. Determine 8*v(p) - 3*w(p).
-2*p**2
Let b(r) = 2*r**3 - r**2 - 4*r + 6. Let c(v) = 4*v**3 - 2*v**2 - 7*v + 11. Give 11*b(l) - 6*c(l).
-2*l**3 + l**2 - 2*l
Let p(r) = 2*r**2 + 6*r + 5. Let n(i) = 2*i**2 - 26 + 6*i + i + 32. Determine 6*n(u) - 7*p(u).
-2*u**2 + 1
Let b = -24 - -27. Let j(h) = -2*h + 3. Let y(a) = a - 2. Give b*y(m) + 2*j(m).
-m
Let n(f) = -f - 7. Let k(o) = -o - 8. Calculate 3*k(c) - 2*n(c).
-c - 10
Let q(i) = -7*i**2 + 9*i + 9. Let l(j) = 3*j**2 - 4*j - 4. Let a be (12/(-16))/(3/12). Let b be (-8)/(-3)*a/2. Calculate b*q(y) - 9*l(y).
y**2
Let b(g) = g. Let r(i) = 3*i**3 - 2*i**2 + 3*i + 1. Give -3*b(v) + r(v).
3*v**3 - 2*v**2 + 1
Let x(t) = 13*t**2 + 9*t. Let m(l) = 6*l**2 + 4*l. Give 9*m(v) - 4*x(v).
2*v**2
Let w = 7 + -3. Suppose 0 = q + q - w. Let n(l) = 5*l - q*l - 2*l. Let a(t) = -2*t**3 + 2*t**2 - 12*t - 2. What is a(u) + 12*n(u)?
-2*u**3 + 2*u**2 - 2
Let z(l) = l**3 - 3*l**2 - 2*l + 3. Suppose -2*b + 2*p + 2*p = 0, 0 = -4*b - 3*p - 22. Let k(v) = -2*v**3 + 4*v**2 + 2*v - 3. Calculate b*z(h) - 3*k(h).
2*h**3 + 2*h - 3
Let d(n) = -n - 1. Let g(l) = 7*l + 7. Suppose -9 = 12*a + 63. Suppose z + 9 = 2*q, -2*z + 2*q + 2 = 3*q. Determine a*d(m) + z*g(m).
-m - 1
Let i be (-33)/6 - (-3)/(-6). Let j(l) = l - 1. Let n(k) = -7*k + 7. Give i*j(v) - n(v).
v - 1
Let r(v) = 4*v**3 + 3*v - 9. Suppose -5*l - 9 - 16 = 0. Let f(x) = 2*x**3 + 2*x - 5. Suppose -8*b = -11 - 13. Determine b*r(j) + l*f(j).
2*j**3 - j - 2
Let p(t) = -t + 1. Let s(w) = -4 + 9*w + 2*w - 6*w. Give 4*p(q) + s(q).
q
Let i(k) = -7*k + 2. Let x(a) = -12*a + 1. Let m(t) = 23*t - 2. Let s(p) = -6*m(p) - 11*x(p). What is 5*i(w) - 6*s(w)?
w + 4
Suppose -4*d + 10 = 5*v - 0*d, v = 5*d + 31. Let w(a) = 6*a. Let n(x) = x. Determine v*w(u) - 39*n(u).
-3*u
Let a(j) = -6*j**3 + 4*j. Let b = -3 + -1. Suppose g - 2*s + 3 = 0, 3*g + 2*s + 9 = 3*s. Let r(l) = 5*l**3 - 3*l. Give b*r(y) + g*a(y).
-2*y**3
Let r(d) = d**3 + 2*d - 3. Let a be 0*(-3 + (-10)/(-4)). Let c(u) = a*u**3 + 2*u - 10 + 3*u**3 + 5*u. Give 4*c(h) - 14*r(h).
-2*h**3 + 2
Let l(r) = -12*r + 4. Let i(z) = -z + 1. Give -3*i(v) + l(v).
-9*v + 1
Let s(c) = -174*c**2 + 29*c. Let j(z) = -25*z**2 + 4*z. Determine 29*j(x) - 4*s(x).
-29*x**2
Let a(n) = -5*n + 16. Let m(z) = -z + 1. Let v(g) = -g - 1. Let x(i) = 2*m(i) - v(i). Determine -2*a(t) + 11*x(t).
-t + 1
Let x(j) = -j**2 - 1. Let v(k) = -36*k**2 + 39*k**2 + 1 - k + 4 - 2*k. Determine -v(i) - 5*x(i).
2*i**2 + 3*i
Let d(f) = -2*f + 2*f**2 + 3 - 3. Let z(g) = g**2 - g. Let u(k) = 8*k. Let l be u(2). Suppose 5*i - l + 1 = 0. What is i*d(y) - 7*z(y)?
-y**2 + y
Let s(r) = -11*r - 4. Let y(k) = -12*k - 5. Determine 4*s(n) - 3*y(n).
-8*n - 1
Let l(c) = -2*c**2. Let g(n) = n**3 - 6*n**2 + n - 1. Let q be g(6). Let k(o) = 3*o**2. Calculate q*l(u) + 4*k(u).
2*u**2
Let b(k) = -7*k. Let l(x) = -4*x + 22. Let w be l(5). Let n = 7 - 4. Let j(t) = w - 6 + 4 - n*t. Give 2*b(q) - 5*j(q).
q
Let w(t) = 11*t**3 + 17*t + 20. Let h(b) = 4*b**3 + 6*b + 7. Let u be (-33)/6 - 2/4. Let k = 41 