rivative of l**4/24 - l**3/2 - 3*l**2. Let j(k) be the first derivative of m(k). Determine j(p) - s(p).
-2*p - 2
Let j(x) = 24*x - 33. Let r(g) = 3*g - 4. Suppose -4*p + 12 = 0, -2*z + z - 2*p + 10 = 0. Calculate z*j(v) - 33*r(v).
-3*v
Let v(s) = 2. Let l(x) = 4*x - 2. Let u(c) = c - 1. Suppose 1 = r - 1, 5 = -5*k + 5*r. Let h(p) = k*l(p) - 3*u(p). Determine 2*h(m) - v(m).
2*m
Suppose 6*v = 2*v - 12. Let r(u) = 3*u**2 - 4*u + 5. Let g(b) = 2*b**2 - 2*b + 3. Suppose -o + 0*o + 13 = 0. Let w = o - 8. Calculate v*r(s) + w*g(s).
s**2 + 2*s
Let k(v) = 8*v + 1. Let d(t) = t. Calculate 4*d(i) - k(i).
-4*i - 1
Let o(l) = -2*l**3 + 3*l**2 - 1. Let m(a) = -4*a**3 + 7*a**2 - a - 1. What is -3*m(s) + 7*o(s)?
-2*s**3 + 3*s - 4
Let m(j) be the first derivative of -3*j**2 + 7*j + 13. Let x(u) = 13*u - 15. Determine -9*m(d) - 4*x(d).
2*d - 3
Let b(n) = 2*n**2. Let z(j) = j**2 - 7*j + 2. Let k be z(6). Let y(l) = l**3 + 4*l**2 - 14*l - 7. Let s be y(-6). Let g(r) = 2*r**2. What is k*b(c) + s*g(c)?
2*c**2
Let s(p) = p. Let q(m) = -m**3 - 9*m**2 - 7*m - 4. Let l be q(-8). Let n(h) = 3*h. What is l*s(b) + 3*n(b)?
-3*b
Let f(u) = 4*u**3 + 6*u**2 + 6*u. Let b(o) = -o**3 + 15*o**2 + 15*o + 10. Let h be b(16). Let s(z) = z**3 + z**2 + z. Calculate h*s(g) + f(g).
-2*g**3
Let s(l) = 6*l**3 - 3*l**2 + 9*l + 1. Let a(r) = -7*r**3 + 4*r**2 - 10*r - 2. Determine -3*a(o) - 4*s(o).
-3*o**3 - 6*o + 2
Let o(v) = -4*v**3. Let h(y) = 0*y**3 - 2*y + 2*y + y**3. Suppose 2*k = 6*k - 12. What is k*h(a) + o(a)?
-a**3
Let t(g) = -g - 3. Suppose i + i + 16 = 0. Let y(s) = -1. Calculate i*y(l) + 3*t(l).
-3*l - 1
Let p(o) = 14 - 7*o**2 - 3*o - 5*o + 13*o**2. Let j(a) = -2*a**2 + 3*a - 5. Determine 11*j(q) + 4*p(q).
2*q**2 + q + 1
Let s(l) = -l + 1. Let r(q) = -2*q + 2. Suppose 6*h - 4*h = 4. What is h*r(g) - 6*s(g)?
2*g - 2
Let u = -102 - -97. Let k(d) = -9*d**3 + 6*d**2 + 5*d - 4. Let i(m) = 14*m**3 - 9*m**2 - 8*m + 6. Give u*i(y) - 8*k(y).
2*y**3 - 3*y**2 + 2
Let n(y) = -2*y + 13. Let s(f) = -f. Let j(z) = -5*z - 6. Let u(d) = -j(d) + 6*s(d). Let k = -2 + 8. Determine k*n(v) - 13*u(v).
v
Let d(h) = -10*h**3 + 6*h**2 - 7*h - 3. Let s(c) = 9*c**3 - 5*c**2 + 6*c + 3. What is -5*d(u) - 6*s(u)?
-4*u**3 - u - 3
Suppose 10 = h + 3*n + n, -13 = 2*h - 3*n. Let o be (h/(-4))/((-1)/(-10)). Let y(w) = 4*w + 1. Let q(j) = -2 + j + 6*j + 0*j + 3. What is o*y(c) - 3*q(c)?
-c + 2
Let g(n) = n - 4. Let a(o) = -2*o + 8. What is 4*a(s) + 9*g(s)?
s - 4
Let y(n) = 9*n + 19. Let f(v) = 19*v + 39. Give -6*f(q) + 13*y(q).
3*q + 13
Let r = 26 - 27. Let t(h) = -4*h**3 + 0*h**3 + 1 + 3*h**3. Let i(u) = -2*u**3 + 2*u**2 + 1. Calculate r*t(d) + i(d).
-d**3 + 2*d**2
Let k(q) = 0 + 4 - 8 - 4*q + 0. Let t(v) = -v**3 - 3*v - 3. What is 3*k(h) - 4*t(h)?
4*h**3
Let p(c) = 6*c. Let i(x) = 117 - 31*x - 117. What is 2*i(k) + 11*p(k)?
4*k
Let s(v) = -2*v + 2. Let d(q) = 3*q + 1. Let x(n) = 2*n + 1. Let b(y) = 3*d(y) - 4*x(y). Calculate -5*b(j) - 2*s(j).
-j + 1
Let j(g) = 2*g**2 + 7*g. Let d(i) = 2*i**2 + 6*i. Let u be 5/(20/(-14))*2. Calculate u*d(s) + 6*j(s).
-2*s**2
Let w(s) = -s - 4. Let z(n) = n**2 + 4*n + 1. Let p be z(-3). Let u(m) = 8*m - 7*m + 1 + 0*m. Suppose 3 = -b + 2. Give b*w(c) + p*u(c).
-c + 2
Let z(l) = -4*l + 4. Let p(c) = -1. Let w(n) = 3*p(n) + z(n). Let r(s) be the third derivative of -1/8*s**4 + 0 + 0*s - 3*s**2 + 0*s**3. Give -3*r(d) + 2*w(d).
d + 2
Let b(d) = 12*d**2 - 48*d**2 + 19*d**2 - 4 + 15*d**2. Let w(z) = 5*z**2 + 7. Calculate 7*b(f) + 4*w(f).
6*f**2
Let w(b) = -7*b + 2. Suppose -5*n - 1 = -11. Let h(s) = -3*s + n*s + 0*s + 2*s. Determine 6*h(p) + w(p).
-p + 2
Let r = -59 - -52. Let z(p) = -p**3 + 4*p**2. Let c(x) = x**3 - 6*x**2. Give r*z(m) - 5*c(m).
2*m**3 + 2*m**2
Let t(a) = -45*a**3 + 13*a**2 + 13*a. Let h(q) = 11*q**3 - 3*q**2 - 3*q. What is -26*h(j) - 6*t(j)?
-16*j**3
Let q = -522 + 523. Suppose 4*h + 3*m = -39, -3 + 29 = -h - 4*m. Let v(r) = r + 4. Let l(s) be the first derivative of s - 1. Give h*l(p) + q*v(p).
p - 2
Let a(y) = -y**2 - y - 1. Let g(c) = 21*c + 21. Give -21*a(d) - g(d).
21*d**2
Let k(a) = 6*a**3 - 7*a**2 - 4*a + 4. Let l(u) = 5*u**3 - 8*u**2 - 3*u + 3. What is -3*k(m) + 4*l(m)?
2*m**3 - 11*m**2
Let m(o) = -15*o + 2. Let p(x) = x. Calculate -m(z) + p(z).
16*z - 2
Let i = -25 + 29. Let r(p) = 2*p - 2. Let y(m) = m. What is i*y(n) - r(n)?
2*n + 2
Let a(c) = 25*c**3 - 9*c**2 - 4*c - 9. Let u(j) = -12*j**3 + 4*j**2 + 2*j + 4. What is -4*a(z) - 9*u(z)?
8*z**3 - 2*z
Let o(q) = -3*q - 7. Let n = -5 + 6. Let a(d) = d - d + n + d + 2. Give 5*a(f) + 2*o(f).
-f + 1
Let j(o) = -o - 3. Suppose -16*n = -12*n + 4. Let t(c) = 5. Let k(v) = 4. Let f(r) = 6*k(r) - 5*t(r). Determine n*j(p) + 3*f(p).
p
Let j(z) = z**3 + 3*z**2 - 3*z + 2. Let d(l) = -3*l**3 - 6*l**2 + 7*l - 4. Determine 3*d(w) + 7*j(w).
-2*w**3 + 3*w**2 + 2
Let k(p) = -p**2 + 1. Suppose -6*d + 20 = -2*d. Suppose d = 4*s + 1. Let z(x) = x**2 + 0 + 1 + x**2 - 2*x. Give s*z(q) + k(q).
q**2 - 2*q + 2
Let c(s) = 3*s**2 + 9*s - 8. Let h(q) be the first derivative of -q**3/3 - q**2 + 2*q - 2. What is 2*c(x) + 9*h(x)?
-3*x**2 + 2
Let s(a) = -20*a + 10. Let w(r) be the first derivative of 4*r**2 - 4*r - 17. Calculate -5*s(g) - 12*w(g).
4*g - 2
Let s(g) = g**3 - g**2. Let f(o) = -2*o**3 + o**2 + 2*o + 2. Determine f(j) - s(j).
-3*j**3 + 2*j**2 + 2*j + 2
Let v(o) = 31*o**2 - 2*o - 2. Let p(a) = 495*a**2 - 33*a - 33. Determine 2*p(k) - 33*v(k).
-33*k**2
Let c(n) = 37*n**3 + 5*n**2 + 5. Let u(h) = -36*h**3 - 4*h**2 - 4. Give -4*c(x) - 5*u(x).
32*x**3
Suppose -4*f - 2 = 6. Let s(h) = -4*h - 4. Suppose 32 - 7 = 5*t. Suppose 4*o - o = -5*z + 3, 5 = 5*o - t*z. Let q(w) = -w - 1. Calculate f*q(x) + o*s(x).
-2*x - 2
Let t(z) = z - 1. Suppose 2*q = -q + 9. Let j(w) = -3*w - 2 + q*w + 5*w - 4. What is -j(y) + 4*t(y)?
-y + 2
Let d(y) = -2*y**2 + 1. Let t(p) be the second derivative of p**4/2 - 2*p**2 - p. Determine 7*d(s) + 2*t(s).
-2*s**2 - 1
Let x(c) = 1 - 5*c**2 - 1 - 6*c. Let l(s) = -14*s**2 - 17*s. What is 4*l(g) - 11*x(g)?
-g**2 - 2*g
Let v(l) = -l. Let f(z) = -z. Let m(q) = q - 8. Let y be m(6). Calculate y*f(t) + v(t).
t
Let n = 31 - 21. Let d be (9/9)/(2/n). Let r(b) = -4*b**2 + 5. Let g(z) = -z**2 + 1. Determine d*g(u) - r(u).
-u**2
Let c(k) = 2*k**2 + 5*k - 3. Let b(o) = 4*o**2 + 9*o - 7. What is -4*b(l) + 9*c(l)?
2*l**2 + 9*l + 1
Let h(z) = z - 5. Let f be h(-6). Suppose 0 = 5*d - 9 - 1. Let v(i) = -5*i**3 + 11*i**2 + 21. Let x(r) = -r**3 + 2*r**2 + 4. Give d*v(q) + f*x(q).
q**3 - 2
Let m(v) = 2*v - 3. Let u(i) = 4*i - 7. Give 11*m(l) - 6*u(l).
-2*l + 9
Let t(s) = s**2 - 3*s + 4. Let h be t(-3). Let j = 33 + -29. Let c(a) = 16*a. Let k(z) = -3*z. Give h*k(g) + j*c(g).
-2*g
Let y(d) = -2*d**2 + 4*d**2 - 3*d**2 + 2. Let z(j) = -3*j**2 + 7. Let o = 10 + 4. Let b be 18/(-12)*16/6. Calculate b*z(r) + o*y(r).
-2*r**2
Let j(k) = 1 - 3*k + 7*k - 3*k. Suppose 4*t - g + 4*g + 24 = 0, g = 0. Let u(r) be the second derivative of -7*r**3/6 - 4*r**2 - 3*r. Determine t*j(i) - u(i).
i + 2
Let o(x) = -x. Let l(m) = -2*m**2 - 3*m - 1. What is l(k) - 4*o(k)?
-2*k**2 + k - 1
Let z(q) = -2*q - 6. Let s(a) = -3*a - 7. Suppose -5*d - x = -29, 23 = d + 3*x + 6. What is d*s(u) - 6*z(u)?
-3*u + 1
Let n(c) = -c - 8. Let o(h) = -1 + 0 + 1 + 3. Determine -3*n(g) - 8*o(g).
3*g
Suppose 2*t - 3*m + 50 = -0*t, 0 = -5*t + 5*m - 120. Let c(x) = -2 + 14*x - 2*x + 2. Let a(n) = -n. What is t*a(h) - 2*c(h)?
-2*h
Suppose -6*x - 19 = 11. Let w(g) = -4*g**3 + 2*g**2 + 6*g - 5. Let m(i) = -6 - 3*i**3 - i + 2*i**2 - 2*i**3 - i + 9*i. Give x*m(s) + 6*w(s).
s**3 + 2*s**2 + s
Let z(p) = p - 1. Let l(b) = b**3 - 2*b**2 - 2*b - 2. Let s be l(3). Let u(a) = -4*a + 6. What is s*u(m) + 6*z(m)?
2*m
Suppose 13 + 7 = -4*k. Let z = 0 - k. Let b(y) = -y**2 - 1. Let d(h) = 3*h**2 - h + 4. Determine z*b(x) + d(x).
-2*x**2 - x - 1
Let q = -4 - -5. Suppose 21 = -2*x - q. Let f(i) = -10*i**2. Let u(c) = -2*c**2. What is x*u(t) + 2*f(t)?
2*t**2
Let s(j) = 2*j**2 + 3*j + 5. Let t(f) = -3*f - 3. Let g(b) = -2*b - 2. Let v(p) = -7*g(p) + 5*t(p). What is s(i) + 3*v(i)?
2*i**2 + 2
Let g(q) = -2*q**3 - 5*q**2 + 5*q + 5. Let k(z) = -z**3 - z**2 + z + 1. Calculate -g(r) + 5*k(r).
-3*r**3
Let s = -30 + 13. Let b(y) = -8*y**3 + 6*y**2 - 2*y - 4. Let k(i) = -23*i**3 + 17*i**2 - 6*i - 11. Calculate s*b