at is m(l) + n(l)?
2*l**3 + l
Let d(w) = -31*w**3 + 21*w - 6. Let o(y) = -6*y**3 + 4*y - 1. Determine 2*d(q) - 11*o(q).
4*q**3 - 2*q - 1
Let n(w) = -w**2 + 1. Let m = 3 - -5. Let g = 11 - m. Let s(o) = -o**2. Calculate g*s(v) - n(v).
-2*v**2 - 1
Let u(d) = 621*d**2 + 81*d + 81. Let p(j) = 31*j**2 + 4*j + 4. Determine -81*p(v) + 4*u(v).
-27*v**2
Let k(o) = 43*o + 6. Let d(l) = -1. Calculate 5*d(f) + k(f).
43*f + 1
Let v(c) = 7*c + 2. Let s(f) = -20*f - 6. Suppose 3*b - 5 = 4. Suppose -b*z + 4 = a - 14, z + 4*a - 6 = 0. Suppose -18 = 3*l - z*l. Give l*s(n) + 17*v(n).
-n - 2
Let q(z) = -3*z**3 + 2*z**2 + z - 4. Let o(g) = -g**3 + g**2 - 1. Calculate -2*o(w) + q(w).
-w**3 + w - 2
Let s(z) = -43*z + 8. Let u(h) = 87*h - 17. Calculate 13*s(j) + 6*u(j).
-37*j + 2
Let o(l) = -4*l**2 - 2*l - 1. Let h(t) = 19*t**2 + 8*t + 2. Let x(s) = s**2 - 1. Let z(n) = h(n) - 2*x(n). Calculate 9*o(j) + 2*z(j).
-2*j**2 - 2*j - 1
Let m(t) be the second derivative of t**4/24 + t**2/2 - 6*t. Let p(i) be the first derivative of m(i). Let w(s) = -5*s. Give -4*p(y) - w(y).
y
Let v(g) = 4*g - 2*g - 4*g**2 + 5*g**3 - 2*g + 1. Let m(d) = d**3 - d**2. Calculate -3*m(f) + v(f).
2*f**3 - f**2 + 1
Suppose -4*m - 16 = b, -b - 19 = m + 4*m. Let n(r) = r**2 + 4*r + 4. Let x(q) = -q + 10 - 8 - 2*q - 5. What is m*n(k) - 4*x(k)?
-3*k**2
Let z(g) = -6*g**2 - 3*g. Let q(x) be the first derivative of 2*x**3/3 + x**2/2 - 5. Suppose 0 = -3*w + 3 + 3. Determine w*z(b) + 7*q(b).
2*b**2 + b
Let t(z) = -54*z**2 + 3*z + 3. Let i(u) = -53*u**2 + 2*u + 2. Calculate -3*i(j) + 2*t(j).
51*j**2
Let l(k) be the third derivative of -7*k**4/24 + k**3/3 + 13*k**2. Let b(f) = 8*f - 3. What is -4*b(i) - 5*l(i)?
3*i + 2
Let t(y) = -y + 18. Let n(z) = -z + 17. Calculate -4*n(i) + 5*t(i).
-i + 22
Let v(w) = 4*w**3 + 17 - 51 + 15 + 18. Let n(l) = 5*l**3 + l**2 - 1. Give 2*n(f) - 3*v(f).
-2*f**3 + 2*f**2 + 1
Let t(i) = -4*i**3 + 5*i**2 + 2*i. Let b(v) = 5*v**3 - 6*v**2 - 3*v. Calculate 3*b(x) + 4*t(x).
-x**3 + 2*x**2 - x
Let a(f) = -f**3 - f**2 + 2*f + 2. Let w(z) = -2*z**3 - 3*z**2 + 5*z + 5. Let r = -46 - -50. Determine r*w(u) - 10*a(u).
2*u**3 - 2*u**2
Let p(l) = -2*l**2 + 5*l - 4. Let x(j) = 8*j**2 - 20*j + 17. What is -9*p(z) - 2*x(z)?
2*z**2 - 5*z + 2
Let z(r) = 1. Let t(k) = -19*k**3 + k**2 + 4. Calculate -t(o) + 4*z(o).
19*o**3 - o**2
Let d(h) = 13*h + 7. Let w(q) = -25*q - 13. What is 7*d(m) + 4*w(m)?
-9*m - 3
Let u(x) = 14*x**2 - 7*x - 2. Let a(n) = n**2 - n. Calculate -5*a(y) + u(y).
9*y**2 - 2*y - 2
Let c(f) = 8*f. Let r(m) = -15*m. Suppose 7*u + 10 = -25. What is u*r(a) - 9*c(a)?
3*a
Let i(y) = -y**3 - 2*y**2 - 2*y + 4. Let n(b) = -b**3 - b**2 - b + 1. Let v = 34 + -32. Determine v*n(q) - i(q).
-q**3 - 2
Let k = -3 + 0. Let s(i) = -2*i + 4. Let m(u) = u - 3. Determine k*m(f) - 2*s(f).
f + 1
Let i(u) = -11*u**3 + 2*u**2 + 2*u. Let j(r) = -297*r**3 + 55*r**2 + 55*r. What is -55*i(d) + 2*j(d)?
11*d**3
Let j(c) = -11*c**3 - 8*c**2 + 35*c - 8. Let p(b) = 7*b**3 + 5*b**2 - 23*b + 5. Calculate 5*j(x) + 8*p(x).
x**3 - 9*x
Suppose 5*q + 11 = 26. Let p(r) = 3*r + 15*r**q - 8*r - 28*r. Let s(j) = -j**3 + 2*j. Give -2*p(b) - 33*s(b).
3*b**3
Let n(h) = -2*h**2 - 3*h + 4. Let u(y) = 2*y**2 + 4*y - 5. Let t be ((-3)/2)/(2/4). Determine t*u(g) - 4*n(g).
2*g**2 - 1
Let r(q) = 2*q**2 + 7*q - 2. Suppose 13 + 4 = -j. Let z(l) be the second derivative of l**4/2 + 10*l**3/3 - 3*l**2 + l. Give j*r(i) + 6*z(i).
2*i**2 + i - 2
Let a(d) = -d**3 - 29*d**2 + 8*d - 8. Let b(c) = -10*c**2 + 3*c - 3. Let z(l) = -3*a(l) + 8*b(l). Let k(s) = s**3 + 2*s**2. What is -14*k(j) + 4*z(j)?
-2*j**3
Suppose 4*c - 6 + 30 = 0. Let i be (-3)/9 + 4/c. Let q(b) = 4*b - 4*b + b + 1. Let t(r) = -2*r - 5. What is i*t(w) - 3*q(w)?
-w + 2
Let k(w) = -975*w**2 - 91*w + 91. Let a(s) = -65*s**2 - 6*s + 6. What is 91*a(q) - 6*k(q)?
-65*q**2
Let z(x) = -6*x + 5. Let h(k) = -k**3 - 4*k**2 - k - 2. Let d be h(-4). Let v be (16/(-20))/(d/5). Let t(o) = -o + 1. Determine v*z(p) + 11*t(p).
p + 1
Let r(z) = 26*z - 50*z + 15*z. Let k(c) = -c. What is -51*k(f) + 6*r(f)?
-3*f
Let d(s) = -s**3 + s**2 - s + 1. Let t(j) = -7*j**2 + 4*j - 6. Give 4*d(z) + t(z).
-4*z**3 - 3*z**2 - 2
Let w(t) = -t + 9. Let z be w(7). Let f = z + -1. Let x(q) = -5*q + 4. Let y(v) = v - 1. Determine f*x(p) + 4*y(p).
-p
Let k = -13 - -7. Let a(d) = -1. Let y(n) = n**3 + 6. Give k*a(q) - y(q).
-q**3
Let y(h) = 9*h**3 - 7*h**2 + 7*h + 7. Let v(n) = -4*n - 4*n**3 + n - 4 + 1 - n**2 + 4*n**2. Determine -7*v(j) - 3*y(j).
j**3
Let s(g) = g + 7. Let d(o) = 3. Suppose -2*x + k = 9, 2*x - 4*k + 14 = -2*k. What is x*s(q) + 5*d(q)?
-2*q + 1
Let v(r) = -r - 419*r**2 + 5*r + 416*r**2 + 7. Let a(o) = -2*o**2 + 2*o + 3. Calculate 5*a(h) - 2*v(h).
-4*h**2 + 2*h + 1
Let i(c) be the first derivative of c**4/4 - 7*c**3/3 - 2*c**2 - 8. Let t(g) = -2*g**3 + 13*g**2 + 7*g. What is -7*i(y) - 4*t(y)?
y**3 - 3*y**2
Let q(i) = -2*i**3 + 3*i**2 - 3*i - 2. Let f(v) = 2*v**3 - 4*v**2 + 4*v + 3. Let t = 21 + -19. What is t*f(s) + 3*q(s)?
-2*s**3 + s**2 - s
Let w(x) = 5*x**3 - 2*x**2 - 2. Let q(d) = -4*d**3 + d**2 + 2. Give 4*q(l) + 3*w(l).
-l**3 - 2*l**2 + 2
Let d(b) = -3*b**2 - 2*b - 6. Let f(o) = -2*o - 2 + 7 + 4*o + 2*o**2. Let t be (-2)/(-2 + 6/4). Calculate t*f(v) + 3*d(v).
-v**2 + 2*v + 2
Let o(d) = -d**3 + d**2 - d. Let m(l) = 7*l**3 - 5*l**2 + 6*l - 2. Suppose -4*n - y - 22 = 0, 7*y - 3*y + 18 = -2*n. Calculate n*o(b) - m(b).
-2*b**3 - b + 2
Let o(w) = 2*w**3 - 12*w + 3. Let j(g) = 3*g**3 - 13*g + 4. What is -3*j(s) + 4*o(s)?
-s**3 - 9*s
Let r(u) = -5*u**2 - 10*u**2 + 19*u**2. Let s(b) = -b**3 + 2*b**2. What is -2*r(l) + 4*s(l)?
-4*l**3
Suppose -65 = -5*r + 4*u, -4*r - u = -6*u - 61. Let h(a) = 5*a**3 + 14 - 9*a**3 - r*a**2 - 5*a**2. Let x(w) = w**3 + 3*w**2 - 3. Determine 3*h(q) + 14*x(q).
2*q**3
Suppose 3*x - 12 = 5*x. Let q(u) = u**3 + 6*u**2 - 8. Let g(c) be the second derivative of -c**5/10 - 13*c**4/12 + 17*c**2/2 - 4*c. Determine x*g(w) - 13*q(w).
-w**3 + 2
Suppose -4*k - 6 = -l - 21, k - 15 = 4*l. Let m(z) = 10*z**3 - 6*z**3 - 3*z + 7 - 4*z**2 - 4*z. Let i(n) = 2*n**3 - 2*n**2 - 3*n + 3. What is k*m(g) - 7*i(g)?
-2*g**3 + 2*g**2
Suppose 0*v = -2*v - 6. Let u(l) = -4*l**3 + 2*l**2 + 5. Let a(g) = 7*g**3 - 3*g**2 - 9. Give v*a(x) - 5*u(x).
-x**3 - x**2 + 2
Let a(m) = -m**2 + 5*m + 5. Let o(f) = 6 + 8*f - f**2 - 2*f - f**2 + f**2. Calculate -6*a(j) + 5*o(j).
j**2
Let f be 4 + 0 - (-3 + 3). Let n(v) = -3*v**3 - 4*v + 0 + 0 + 3. Let z(i) = 3*i**3 + 3*i - 2. Calculate f*z(r) + 3*n(r).
3*r**3 + 1
Let i(v) = -11*v**3 - 5 + 31 - 12 - 3 - 5*v. Let g(c) = -5*c**3 - 2*c + 5. Determine -9*g(y) + 4*i(y).
y**3 - 2*y - 1
Let p(y) = -2*y**2 - y + 1. Let h(r) = -6*r**2 - 4*r + 3. Calculate 4*h(t) - 14*p(t).
4*t**2 - 2*t - 2
Suppose 2*b + 22 = 2*l, -5*b + 0*b - 15 = 5*l. Let y(u) = -5*u**3 - 5*u**2 + 5*u. Let c(j) = -8*j**3 - 7*j**2 + 7*j. Give b*y(f) + 5*c(f).
-5*f**3
Let c(y) = -10*y - 4. Let z(d) = 2*d + 1. Give 3*c(h) + 16*z(h).
2*h + 4
Let v(i) = 14*i - 4*i - 16*i + 20 - 8*i. Let g(q) = -5*q + 7. Determine -17*g(m) + 6*v(m).
m + 1
Let b(o) = -4*o**3 - 2*o - 2. Let f(l) = 12*l**3 + 7*l + 6. Give -7*b(z) - 2*f(z).
4*z**3 + 2
Let y(w) = -7*w**2 - 5*w - 8. Let g(b) = b - 29. Let a be g(18). Let f(i) = -13*i**2 - 9*i - 15. Determine a*y(v) + 6*f(v).
-v**2 + v - 2
Let a(u) = -13*u**3 + 5*u**2 + 6*u + 6. Let m(q) = 40*q**3 - 14*q**2 - 17*q - 17. What is -17*a(g) - 6*m(g)?
-19*g**3 - g**2
Let j(q) = -2*q + 7. Let c(g) = g + 1. What is 3*c(l) - j(l)?
5*l - 4
Let u(n) = 4*n**2 + 4*n - 1. Let o(s) = -3*s**2 - 5*s + 1. What is -6*o(k) - 7*u(k)?
-10*k**2 + 2*k + 1
Let l(i) = 2*i - 5. Let q = -16 + 16. Suppose -3*x + q = -12. Let y(p) = -1. Determine x*y(t) - l(t).
-2*t + 1
Let o(s) = 7*s + 5. Let f(b) = 6*b + 6. Give 4*f(q) - 5*o(q).
-11*q - 1
Let u = -20 - -23. Let k(q) = 4 + 0*q**2 - u*q**2 - 2*q**2. Let o(w) = 9*w**2 - 2 - 3 - 2. What is 5*k(c) + 3*o(c)?
2*c**2 - 1
Let q(b) = b. Let t(a) = -2*a. Let w(c) = 2*c**2 - 4*c + 3. Let s be w(1). What is s*t(m) + 6*q(m)?
4*m
Let c(p) = -p**2 - 10*p - 9. Let o be c(-10). Let x(j) = -13*j + 9. Let v(q) = 3*q - 2. Give o*v(a) - 2*x(a).
-a
Let y(i) = -i**3 - 2*i**2 - 4. Suppose 4*h + 3*h + 77 = 0. Let n(g) = 3*g**3 + 5*g**2 + 11. What is h*y(q) - 4*n(q)?
-q**3 + 2*q**2
Let g(h) = -1.