5*a(k).
-k - 3
Let p(u) = -17*u. Let m(v) = -714*v. Determine -2*m(o) + 85*p(o).
-17*o
Let v(p) = -21*p - 34. Let x(q) = -10*q - 17. Let j(d) = 3*v(d) - 5*x(d). Let l(w) = 1. Let f(h) = -3*h + 2. Let r(z) = -f(z) + 6*l(z). What is 2*j(a) + 9*r(a)?
a + 2
Let w(x) = 2*x + 17. Let m(p) = -6*p - 50. Give 6*m(f) + 17*w(f).
-2*f - 11
Let g(l) = -45*l**2 - 5*l + 2. Let i(n) = -67*n**2 - 7*n + 3. What is -7*g(j) + 5*i(j)?
-20*j**2 + 1
Let o(k) = 4*k + 2. Suppose -1 = -8*n + 9*n. Let h(m) = 2*m - 1. Let y be h(n). Let c(t) = -5*t - 3. Determine y*o(b) - 2*c(b).
-2*b
Let o(i) = 2*i**3 + 10*i**2 + 5*i + 5. Let d(p) = p**3 - p**2 + p + 1. Calculate -5*d(u) + o(u).
-3*u**3 + 15*u**2
Suppose -4 = 2*j + 4. Let v(l) be the second derivative of 5*l**4/12 - l**3/3 - l**2/2 + 2*l. Let u(q) = -q**2. Determine j*u(n) - v(n).
-n**2 + 2*n + 1
Let z = -4 - -7. Let k(t) = 2*t - 3. Let b = 21 + -11. Let p(u) = -1 + 13 + 2 - b*u. What is z*p(x) + 14*k(x)?
-2*x
Let l(u) = -2*u**2 - 9*u + 7. Let q(y) = -y**2 - 4*y + 4. What is 3*l(a) - 5*q(a)?
-a**2 - 7*a + 1
Let a = -30 - -25. Let u(g) = -4*g**3 - 5*g**2 - 5*g. Let k(m) = -3*m**3 - 4*m**2 - 4*m. Determine a*k(o) + 4*u(o).
-o**3
Let l(z) = -z**3 - 3*z + 3. Let x(w) = -7*w + 22*w**2 - 22*w**2 + 7 - 2*w**3. What is 7*l(p) - 3*x(p)?
-p**3
Let w(m) = -6*m**2 + 5*m + 17. Let h(q) = -2*q**2 + 2*q + 6. Determine 8*h(o) - 3*w(o).
2*o**2 + o - 3
Let l(f) = -3*f**3 - 2*f**2 + 2. Suppose 2*h - 2*w = -3*h - 49, -4*h + 3*w = 35. Let t(q) = 16*q**3 + 11*q**2 - 11. Calculate h*l(k) - 2*t(k).
k**3
Let s(r) = -4*r**3 - 2*r**2 - 3*r + 3. Let f(p) = 7*p**3 + 4*p**2 + 5*p - 5. Let d(i) = -4*i**3 - 2*i**2 + i. Let k be d(1). Determine k*s(z) - 3*f(z).
-z**3 - 2*z**2
Let z(d) = 3*d**2 - 3*d - 8. Let p(r) = 0*r**2 + 3 + 4*r - 4*r**2 + 6. Let y(k) = 5*p(k) + 6*z(k). Let w(u) = -1. Determine 3*w(j) - y(j).
2*j**2 - 2*j
Let t(d) = -2*d**2 - 6*d + 1. Let c(r) = 0 - 7 + 3 + 3 + 7*r + 2*r**2. Determine 6*c(v) + 7*t(v).
-2*v**2 + 1
Let s(u) = -u + 1. Let g(h) = 2*h - 3. Suppose 3*f + 23 = x + 4*x, 0 = 2*x + 5*f - 3. Suppose 12 - x = -i. Calculate i*s(l) - 3*g(l).
2*l + 1
Let j(x) = -x**2 + 2. Let z(t) = -2*t**2 + 3. Let r be 2/(-1) - 1/1. Let i be r/2*(2 + 0). Calculate i*j(f) + 2*z(f).
-f**2
Let d(g) = -26*g**2 + 14*g + 6. Let p(x) = 9*x**2 - 5*x - 2. What is 6*d(s) + 17*p(s)?
-3*s**2 - s + 2
Let n(j) = 2*j**2 - 4*j - 4. Let m = 4 - 1. Let i(u) = -u**2 + 3*u + 3. Determine m*n(p) + 4*i(p).
2*p**2
Let z(h) = -2*h + 4. Let u(c) be the first derivative of -c**2 + 5*c + 12. Calculate 3*u(k) - 4*z(k).
2*k - 1
Let h(b) = -3*b**2 + 4*b - 10. Let z(y) = -4*y**2 + 5*y - 10. What is -5*h(o) + 4*z(o)?
-o**2 + 10
Let f(w) = -4*w**2 + 2*w + 3. Let a(p) = -6 - 4 + 12 + 2*p - 4*p**2. Determine -3*a(t) + 2*f(t).
4*t**2 - 2*t
Suppose k - x = 2*k - 8, 12 = k + 2*x. Suppose k*q - q = 18. Let o(t) = 15*t - 2. Let c(l) = -7*l + 1. Give q*o(u) + 13*c(u).
-u + 1
Let q(o) = 9*o**3 - 3*o**2 - 4*o. Let u(p) = -10*p**3 + 4*p**2 + 5*p. Give 5*q(s) + 4*u(s).
5*s**3 + s**2
Let k(a) = -a**2 - 1. Let w(x) be the first derivative of -1/2*x**2 - 2 + 5*x + 4/3*x**3. What is -9*k(c) - 2*w(c)?
c**2 + 2*c - 1
Suppose 4*t = -2*h - 30, -4*t = -0*h - 4*h. Let o(w) = 3*w**2 + 5*w + 3. Let n(k) = 2*k**2 + 3*k + 2. Give h*o(l) + 8*n(l).
l**2 - l + 1
Let g(v) = -6*v + 5. Let u(x) = x - 1. Let d(l) = g(l) + 5*u(l). Let o(y) = -y. Let j(r) = -5*r. Let f(w) = 5*j(w) - 30*o(w). Determine 3*d(n) + f(n).
2*n
Let n(u) = u - 4. Let v(o) = -12*o - 4*o**2 + 3*o**2 + 1 + 5*o. Let t be v(-6). Let d(g) = -3*g + 9. Let q = -1 - -4. Determine q*d(w) + t*n(w).
-2*w - 1
Let b = -15 + 9. Let p(g) = -7*g - 5. Let t(a) = a + 1. Determine b*t(x) - p(x).
x - 1
Let w(q) = -q**2 - 2*q - 4. Let g(a) = a**2 + 2*a + 3. Determine -6*g(y) - 5*w(y).
-y**2 - 2*y + 2
Let j be (0 - 4/(-2))/2. Let o(z) = -7*z**3 + 5*z - 5. Let c = -1 - -6. Let i(l) = l**3 - l + 1. Calculate c*i(m) + j*o(m).
-2*m**3
Let r(i) = 73*i - 59. Let z(o) = -36*o + 30. Let s(y) = -3*r(y) - 5*z(y). Let b(c) be the second derivative of c**3/2 - c**2 + c. What is -27*b(u) - 2*s(u)?
-3*u
Let i(u) = 7*u**3 + 5*u**2 - 2*u - 6. Let l = 2 - -6. Suppose -l + 28 = 4*w. Let k(s) = -6*s**3 - 4*s**2 + 2*s + 5. Give w*k(t) + 4*i(t).
-2*t**3 + 2*t + 1
Let a(i) = -14*i**2 - 9*i. Let q(d) = -5*d**2 - 3*d. Give -3*a(z) + 8*q(z).
2*z**2 + 3*z
Let l(w) = -w - 4. Let v(x) = -2*x + 2 + x + 2*x + 0. Let f(t) = -2*l(t) - 5*v(t). Let z(b) = -2*b - 2. Determine 4*f(d) - 5*z(d).
-2*d + 2
Let t(j) = -7*j - 4. Let a(l) = 1 - 6 - 1 - 11*l. Suppose -62 + 6 = -7*m. Suppose y = -d - 9, 5*y = -3*d - 11 - 24. Determine d*a(w) + m*t(w).
-w - 2
Let b(z) = -4*z + 7. Let q be b(-2). Let p(a) = a. Let i(d) = -3*d**2 + 15*d. Give q*p(f) - i(f).
3*f**2
Suppose -15 = -5*h + r, 6*r = h + 2*r - 3. Let n = 4 - h. Let p(m) = m - 1. Let k(w) = 6*w - 3. Suppose 15*x + 62 + 13 = 0. Determine n*k(d) + x*p(d).
d + 2
Let n(f) = -3*f**2 - 2*f. Suppose -c = -4 - 1. Let u(l) = -6*l**2 - 3*l. Determine c*n(y) - 3*u(y).
3*y**2 - y
Let c(h) = 4*h**3 + 5*h - 3*h**2 + 4*h**2 - 3*h**2. Let f(s) = -10 + 4 + 9*s + 7*s**3 - 4*s**2 + 6. Give -5*c(u) + 3*f(u).
u**3 - 2*u**2 + 2*u
Let x(z) = 2*z**3 + 5*z**2 - 7*z - 5. Suppose 0 = -3*n + 2*n + 3. Let d(p) = -2*p**3 + 5*p - p - 5*p**2 + 2*p**2 + p**3 + n. Calculate -5*d(r) - 3*x(r).
-r**3 + r
Suppose 5*n - 27 - 3 = 0. Let r be (-2 + 1)/(6 + -5). Let i be (2 + -2 - r)/(-1). Let j(h) = -h**2 + h. Let t(l) = -7*l**2 + 5*l - 1. Give i*t(c) + n*j(c).
c**2 + c + 1
Let v(a) = -21*a**2 - 4*a. Let w(j) = 85*j**2 + 17*j. Give 9*v(s) + 2*w(s).
-19*s**2 - 2*s
Let h(a) = 5*a**2 - 3*a + 3. Let k(p) be the third derivative of -p**5/12 + p**4/6 - 2*p**3/3 + 5*p**2. Determine -4*h(f) - 3*k(f).
-5*f**2
Let z(q) be the third derivative of -q**5/60 - q**4/24 - 11*q**2. Let h(n) = -6*n**2 - 3*n - 2. What is h(m) - 3*z(m)?
-3*m**2 - 2
Let d(n) = 14*n**3 - 14*n + 6. Let w = -3 - -5. Let b = 7 - w. Let i(h) = 9*h**3 - 9*h + 4. Give b*d(f) - 8*i(f).
-2*f**3 + 2*f - 2
Let a(g) = 4*g + 3. Let y(i) = -2*i - 2. Let w(l) = -3*a(l) - 5*y(l). Let v(o) = -o. Suppose 4*u + 11 = 3. Give u*w(k) + 6*v(k).
-2*k - 2
Let h(q) = -2*q**2 - 5*q - 7. Suppose 0 = 3*b + 2*f + 23, b + 0 = f - 1. Let g(y) = y**2 + 3*y + 3. Calculate b*g(a) - 3*h(a).
a**2 + 6
Let s(q) = -q**3 - 6*q**2 - q + 16. Let c be s(-5). Let n(l) = l**3 + 5*l**2 + 3*l - 4. Let p(r) = -r**3 - 6*r**2 - 4*r + 5. Determine c*n(v) - 3*p(v).
-v**3 - 2*v**2 + 1
Let p(s) = s - 1. Let q(n) = 6*n - 4. Give -8*p(w) + q(w).
-2*w + 4
Let h(m) = m**3 - 5*m**2 + 3. Let g(v) = 2*v**3 - 5*v**2 + 3. Let s(i) = 3*g(i) - 4*h(i). Let z(b) = 3*b**3 + 6*b**2 - 4. Give 5*s(x) - 4*z(x).
-2*x**3 + x**2 + 1
Let k(u) = -5*u**2 + 3*u - 6. Let p(x) = x**2 - x + 1. Suppose -4*g = -4*f, 3*g + 5*f - 26 - 6 = 0. Determine g*p(a) + k(a).
-a**2 - a - 2
Let b(l) = -l**2 - l + 1. Let z(u) = -28*u**3 - 70*u**2 - 70*u + 70. Give 70*b(m) - z(m).
28*m**3
Let c(b) = b**3 - 2*b - 1. Let y(v) = -v + 1. Calculate c(u) + y(u).
u**3 - 3*u
Let h(i) = 4*i**3 - 7*i + 3. Let r(c) = -c - 8. Let o be r(-5). Let b(z) = -5*z**3 + 8*z - 4. Give o*b(l) - 4*h(l).
-l**3 + 4*l
Let f(x) = 11*x**2 - 7*x + 6. Let r(b) = -32*b**2 + 20*b - 17. Give 17*f(h) + 6*r(h).
-5*h**2 + h
Let y(s) = -198*s**3 - 55. Let p(q) = 22*q**3 + 6. What is -55*p(k) - 6*y(k)?
-22*k**3
Suppose 5*i = 3*p - 4, 2*i - i = -5*p + 16. Let n(k) = k + 1. Let b(l) = 6*l + 6. Calculate i*b(f) - 4*n(f).
2*f + 2
Let s = -4 - -9. Let l(k) = -1. Let c(j) = -j + 2. What is s*l(p) + c(p)?
-p - 3
Let r(o) = 2*o - 3. Suppose 0 = -2*u + 4*g - 5 - 5, -3*u + 3*g = 6. Let q be (-10)/(-4) + u/2. Let m(w) = 2*w - 4 + q*w - 3*w. What is -4*m(h) + 5*r(h)?
2*h + 1
Let h(d) = -31*d**2 - 20*d + 16. Let w(r) = 6*r**2 + 4*r - 3. Determine -2*h(i) - 11*w(i).
-4*i**2 - 4*i + 1
Let d(o) = o - 1. Let s(l) = -2*l + 1. Give 2*d(c) + 2*s(c).
-2*c
Let j(h) = -13*h**3 - 7*h**2 - 6*h - 16. Let u(c) be the third derivative of -3*c**6/40 - c**5/12 - c**4/6 - 11*c**3/6 - 28*c**2. Determine 5*j(s) - 7*u(s).
-2*s**3 - 2*s - 3
Let m(i) = 3*i**3 + i**2 + i. Let k(h) = -12*h**3 - 4*h**2 - 5*h. What is 2*k(z) + 9*m(z)?
3*z**3 + z**2 - z
Let v(j) = -j**3 - j**2 - j + 1. Let n(q) = -22*q**3 - 33*q**2 - 33*q + 33. What is n(x) - 33*v(x)?
11*x**3
Let o(r) = 14*r - 26*r + 2 + 14*r + 2