- 53. Let v = -8 + 14. Let b(s) be the first derivative of s**2 - 125. Calculate a*b(n) + v*k(n).
2*n
Let c(g) = -16*g + 4. Let y(a) = 31*a - 9. Determine -9*c(w) - 4*y(w).
20*w
Let m(t) = -6*t**2. Let p(y) = -y**2 - 4*y**2 + 0*y**2. Let d(a) = -a**3 + 2*a**3 + 1 - a**3 + a**3 - 4*a**2 - 6*a. Let k be d(5). Give k*m(w) + 5*p(w).
-w**2
Let j(o) = -3*o**3 - o**2 + o. Let x(i) = i**3 + i**2 + i. Let c be (-1)/(2*3/(-12)). Let k be 1/(-1 + 4/3). Let u be (k*-1)/(-6)*c. Calculate u*j(f) + x(f).
-2*f**3 + 2*f
Let h(k) = 6*k**2 - 8*k - 4. Let s(n) = -5*n**2 + 7*n + 3. Give -6*h(t) - 7*s(t).
-t**2 - t + 3
Let s(n) = 10*n + 22. Let d(x) = -79 - 65 - 4*x + 135. Give 12*d(c) + 5*s(c).
2*c + 2
Let r be 4/22 - (-45)/55. Let o(t) = 3*t - 1. Let x be o(r). Let k(l) = -x*l + l + 4*l - 4*l + 1. Let s(p) = p**3 - 2*p**2 + 3*p - 3. Give 3*k(q) + s(q).
q**3 - 2*q**2
Let p(g) = -3*g - 7. Let u(f) = -f - 2. Let a(o) = o + 1. Let c = 7 + -15. Let l be a(c). Calculate l*u(d) + 2*p(d).
d
Let z(j) = 12*j**2 + 15*j + 9. Let m(l) = -3*l**2 - 4*l - 2. What is 9*m(a) + 2*z(a)?
-3*a**2 - 6*a
Let w(f) = 2*f**3 + 2*f**2 + 3*f + 2. Let k(n) = 4*n**3 + 5*n**2 + 7*n + 5. What is 4*k(q) - 10*w(q)?
-4*q**3 - 2*q
Suppose -6*t = -15*t - 9. Let z(k) = -k**3 - k. Let i(x) = -6*x**3 - 10*x. Determine t*i(w) + 10*z(w).
-4*w**3
Suppose 0 = -5*n + 3*h - 26, n = 3*h - 8*h + 6. Let c(w) = 6*w. Let q(l) = -11*l. Suppose 5*r + 29 = -2*j, 0*j - 2*j = -3*r + 5. Determine j*c(t) + n*q(t).
2*t
Let w(t) = -3*t**2 + 8*t + 6. Let c(j) = 4*j**2 - 9*j - 7. What is -6*c(a) - 7*w(a)?
-3*a**2 - 2*a
Let g(i) = -11*i + 1. Let p(a) = 5*a. Let x = -18 + 16. What is x*g(q) - 5*p(q)?
-3*q - 2
Suppose 259 = -43*t + 818. Let s(a) = 8*a - 6. Let r(w) = -3 - 14 + 4 + 17*w. Calculate t*s(u) - 6*r(u).
2*u
Let k be (-6)/(-4)*38/(-57). Let i(g) = 5*g + 2. Let j(x) = -x. Give k*i(f) - 4*j(f).
-f - 2
Let x(y) = -5*y**2 - y - 6. Let r(w) = 25*w**2 + 6*w + 47. Let c(j) = 8*j**2 + 2*j + 16. Let k(a) = 8*c(a) - 3*r(a). Calculate -6*k(h) + 13*x(h).
h**2 - h
Let m(v) = v - 1. Suppose -2*z = g - 0*g, -5*g - 3*z - 7 = 0. Let a(u) = 5*u**2 - 2*u + 2. What is g*m(f) - a(f)?
-5*f**2
Let q(f) = -35*f**2 - 6*f. Let a(n) = 71*n**2 + 13*n. Determine 6*a(u) + 13*q(u).
-29*u**2
Let w be (-12)/8*40/15. Let v(o) = 3*o**2 + 1 - 3 + 2 + o. Let q(h) = h**2. Give w*q(m) + v(m).
-m**2 + m
Let w(l) = -14*l**2 + 5*l. Let v(x) = -77*x**2 + 28*x. Calculate 5*v(p) - 28*w(p).
7*p**2
Let g(u) = -4*u**3 + 5*u**2 + u + u**3 + 4*u - 3. Suppose 0*d = 5*q + d + 19, -q = -3*d + 7. Let v(p) = 2*p**3 - 4*p**2 - 4*p + 2. Calculate q*g(n) - 5*v(n).
2*n**3 + 2
Let f(z) = 3*z**3 - 7*z**2 + 7*z + 7. Let d(v) = -2*v**3 + 4*v**2 - 4*v - 4. Suppose 5*k - 5*m = 25, 0*k = 2*k + 3*m - 20. What is k*d(g) + 4*f(g)?
-2*g**3
Let a = 1 + -4. Let x(b) be the second derivative of 5*b**3/6 + 5*b**2/2 + 4*b. Let i(u) = -4*u - 4. Give a*x(w) - 4*i(w).
w + 1
Let r(p) = -11*p**2 - 9*p - 4. Let w(t) = -5*t**2 - 4*t - 2. What is 3*r(n) - 7*w(n)?
2*n**2 + n + 2
Let o(c) = -2*c**3 + 6*c**2 - 5*c - 4. Let h(u) = 6*u**3 - 17*u**2 + 14*u + 11. Give 6*h(j) + 17*o(j).
2*j**3 - j - 2
Let a(k) = -4*k. Let b(f) be the second derivative of -f**3/6 - 3*f. Give -2*a(s) + 6*b(s).
2*s
Let i(a) = 20*a**3 + 24*a. Let h be (-15)/(-12) + -1 - 6/(-8). Let y(d) = d**3 + d. Give h*i(j) - 24*y(j).
-4*j**3
Let s(v) = 6*v + 3. Let u(c) = 7*c + 4. What is 4*s(x) - 3*u(x)?
3*x
Let q(u) be the first derivative of u**2/2 + 6*u - 1. Let b(o) = -1. What is -4*b(m) - q(m)?
-m - 2
Let c(l) = -28*l + 6. Let i(t) = 671*t - 143. What is -143*c(d) - 6*i(d)?
-22*d
Let q(u) = -23 - 7*u - 3 + 11. Let a(l) = 4*l + 8. Give 11*a(w) + 6*q(w).
2*w - 2
Let w(d) = -9*d**3 - 5*d**2 + 5*d - 5. Let n(x) = 4*x**3 + 2*x**2 - 2*x + 3. Calculate -5*n(q) - 2*w(q).
-2*q**3 - 5
Let a(f) = -3*f**3 + 7*f**2 + 7*f. Let y(l) = 2*l**3 - 3*l**2 - 3*l. Determine -6*a(n) - 14*y(n).
-10*n**3
Let k(w) be the third derivative of w**4/8 + w**3/2 + 6*w**2. Let m(i) = -16*i - 16. Determine 22*k(d) + 4*m(d).
2*d + 2
Let z(n) = 2*n - 2 - 3*n - 3 + 2. Let s(r) = -r - 2. Determine 4*s(p) - 3*z(p).
-p + 1
Let r(l) = l. Let m(j) = 9*j + 1. Suppose -4*g = -7 - 17. What is g*r(b) - m(b)?
-3*b - 1
Let i(s) = 5*s**2 - 8*s - 7. Let l(y) = -4*y**2 + 7*y + 6. Suppose 2*z = -2*z + 56. Let w = z + -20. Determine w*i(p) - 7*l(p).
-2*p**2 - p
Let y(h) = 9*h + 12*h - 28*h. Let x(p) = 3*p. Determine 9*x(z) + 4*y(z).
-z
Let c(y) = -6*y - 1. Let f(z) = -31*z - 6. Give 11*c(a) - 2*f(a).
-4*a + 1
Let t(z) be the third derivative of z**3/6 - 7*z**2. Let m(q) = -2*q**2. Let g be -2*1*2/(-4). Determine g*m(p) - t(p).
-2*p**2 - 1
Let m(y) = y**2 + y - 1. Let i(k) = -6*k**2 - 3*k - 6. Determine -i(o) - 3*m(o).
3*o**2 + 9
Let w be -1 - 2*15/(-6). Suppose w*b - l = -2*l + 5, -6 = 2*l. Let p(r) = -2*r - r + r + 2*r**b - 7*r + 13. Let x(c) = c**2 - 4*c + 6. Give 6*p(z) - 13*x(z).
-z**2 - 2*z
Let i(s) = 4*s + 9. Suppose 0*y - 52 = 4*y. Let l = 0 + y. Let c(a) be the first derivative of a**2 + 4*a - 32. Determine l*c(f) + 6*i(f).
-2*f + 2
Let n be 16/(-4)*3/(-2). Let r(o) = -n*o - o + 2*o**2 + o - 2*o + 8. Let l be ((-1)/(-3))/(3/9). Let p(q) = q - 1. What is l*r(c) + 8*p(c)?
2*c**2
Let x(b) = -b**2 + b + 1. Let i(y) = -8*y**2 + 5*y + 5. Suppose -26 = -5*l + 9. Let t(o) = -o + 8. Let f be t(l). Determine f*i(v) - 5*x(v).
-3*v**2
Let m(k) = -56*k**3 - 34. Let q(n) = -5*n**3 - 3. Let v(x) = 8*x - 20. Let d be v(11). Determine d*q(l) - 6*m(l).
-4*l**3
Let l(s) = 5*s**3 + 7*s**2 - 21*s - 7. Let d(t) = 4*t**3 + 6*t**2 - 21*t - 6. Determine -7*d(y) + 6*l(y).
2*y**3 + 21*y
Let v(c) = 2*c + 57217 - 57217 - 2*c**2. Suppose 0 = q + 3 - 2. Let l be q + 0 + 1/(-1). Let i(n) = -n**3 - 8*n**2 + 9*n - 1. Give l*i(d) + 9*v(d).
2*d**3 - 2*d**2 + 2
Suppose 0 = 3*t - 1 - 11. Suppose 34 = 4*p - t*x + 6*x, -x - 1 = -p. Let m(i) = 7*i - 6. Let j(v) = -13*v + 11. Calculate p*j(u) + 11*m(u).
-u
Let i(d) = 5*d**2 + 9*d + 4. Let x(b) = 21*b**2 + 36*b + 17. Calculate 9*i(o) - 2*x(o).
3*o**2 + 9*o + 2
Let j(t) = 11*t**3 + 5*t - 1. Let k(y) = -32*y**3 - 14*y + 2. Determine 8*j(b) + 3*k(b).
-8*b**3 - 2*b - 2
Let x(j) = -4*j**3 + 6*j - 6. Let y(m) = m**3 - m + 1. Suppose 2*q + 19 = 5. Let r = q + 1. Give r*y(n) - x(n).
-2*n**3
Let k(f) = -5*f. Suppose -h + 2 = 5*o - 24, -7 = -2*o + 3*h. Let s(w) = 4 + 3*w - 6 + 2. Give o*k(l) + 8*s(l).
-l
Let j(c) = -c**2. Let y(b) = -5*b**2 - 4*b - 3. Let u(n) = 6*n**2 + 5*n + 4. Let v(s) = -3*u(s) - 4*y(s). Determine 14*j(x) + 6*v(x).
-2*x**2 + 6*x
Let j(u) = 42*u + 15. Let a(h) = 6*h + 2. Determine 15*a(z) - 2*j(z).
6*z
Suppose -2*p + 12 + 2 = -5*b, 2*p + 4 = -4*b. Let l(a) = 5*a**2 - a + 1. Let g(n) be the first derivative of 4*n**3/3 + n - 1. Give b*l(h) + 3*g(h).
2*h**2 + 2*h + 1
Suppose -1 = -2*q + 3*z + 9, z = 2*q - 6. Let m(o) be the first derivative of -2 - 1/2*o**q - o. Let c(d) = 5*d + 5. Calculate -4*c(r) - 22*m(r).
2*r + 2
Let i(d) = 4*d - 5*d + 1 - 6*d + 6. Let w(u) = 6*u - 6. Determine -4*i(c) - 5*w(c).
-2*c + 2
Let d(h) = h. Let m(z) = -7*z - 8. Determine 6*d(g) + m(g).
-g - 8
Let d(i) = -2*i + 9. Let m = -36 - -24. Let q = m + 1. Let o(a) = 4 + 5*a + 1 - 3*a - 3*a. Determine q*o(y) + 6*d(y).
-y - 1
Let k(d) = d**3 + 6*d**2 - d + 3. Let c(p) = 2*p**3 + 13*p**2 - 2*p + 6. What is -6*c(r) + 13*k(r)?
r**3 - r + 3
Let m(c) = c. Let h(p) be the second derivative of -p**3/3 - 5*p. Determine 2*h(z) + 3*m(z).
-z
Let k(z) be the first derivative of -11*z + 0*z**2 - 2 - 5/3*z**3. Let l(c) = c**2 + 2. Suppose -3*m = 31 + 2. Calculate m*l(p) - 2*k(p).
-p**2
Let d(q) = 20*q**2 - 7. Let a(b) = -19*b**2 + 6. What is 7*a(f) + 6*d(f)?
-13*f**2
Let c(m) = -15*m**3 - 5*m**2 - 6*m - 6. Let y(l) = l**3 + l**2 + l + 1. What is c(x) + 6*y(x)?
-9*x**3 + x**2
Let l(h) = 4*h**3 + h**2 - 2*h. Let x(p) = 21*p**3 + 6*p**2 - 11*p - 1. Give -11*l(n) + 2*x(n).
-2*n**3 + n**2 - 2
Let z(t) = 2*t - 1. Let m(v) = 50*v + 7. Determine -m(n) - 5*z(n).
-60*n - 2
Let n(x) = -x**3 - x**2 - x - 1. Let f be 0/2 - 2/(-1). Let r(j) be the first derivative of f*j**2 + 3*j + 1/2*j**4 + 2 + 2/3*j**3. Calculate 3*n(a) + r(a).
-a**3 - a**2 + a
Let q(c) = 1 - 2 + 2 - c**2. Let b(k) = 5*k**2 - 4. Let h be 24/18 - (-2)/(-6). Calculate h*b(o) + 4*q(o).
o**2
Let b(h) = -3*h**2 + h + 2. Let q = -2 - -7. Let u(j) = -j