 7*l - 16. Determine 8*n(w) + 5*o(w).
2*w + 1
Let r(b) = -b + 1. Let c(v) = v**3 + 4*v**2 + 2*v. Let m be c(-3). Let t(h) = 4. What is m*r(x) - t(x)?
-3*x - 1
Let h(q) = 1. Let m(g) = -13*g - 1. What is 2*h(z) - m(z)?
13*z + 3
Let v(c) = 6*c**3 - 5*c**2 - 5*c + 5. Let s(j) = -77*j**3 + 66*j**2 + 66*j - 66. Determine -5*s(g) - 66*v(g).
-11*g**3
Let i(u) = -5*u**3 + 4*u + 4. Let c(p) be the third derivative of -p**6/120 + p**4/24 + p**3/6 + 3*p**2. What is 4*c(z) - i(z)?
z**3
Let z(b) = -b**2 - 3*b - 1. Let c(a) = -3*a**2 - 7*a - 2. Calculate -2*c(m) + 5*z(m).
m**2 - m - 1
Let w(o) = 2*o**2 + 2*o + 1. Let m(s) be the second derivative of -s**3/6 + 7*s. What is 4*m(f) + w(f)?
2*f**2 - 2*f + 1
Let z(x) = -6*x**2 + 11*x - 6. Let j(u) = -3*u**2 + 6*u - 3. What is -11*j(q) + 6*z(q)?
-3*q**2 - 3
Let g(u) = u**3 + u**2 - u + 1. Let f(a) = -a + 1. Let m(o) = 4*o**3 + 2*o**2 - o + 1. Let b(x) = -f(x) - m(x). Give -2*b(t) - 4*g(t).
4*t**3
Let j(u) = -4*u - 4 - 1 - 7 + 1. Let y(m) = 2*m + 5. What is -6*j(q) - 13*y(q)?
-2*q + 1
Let a(v) = -11*v + 8. Let y(d) = 23*d - 15. Calculate -11*a(n) - 6*y(n).
-17*n + 2
Let z(i) be the second derivative of -i**2/2 + i. Let m(u) = -u. Let k(x) = -x - 4. Let b(h) = -k(h) + 2*m(h). Calculate -b(q) - 6*z(q).
q + 2
Let n(w) = w - 1. Let q(a) = -3*a + 7. What is -6*n(c) - q(c)?
-3*c - 1
Let s(y) = 3*y. Let f(c) = -12*c - 1. What is 2*f(h) + 9*s(h)?
3*h - 2
Let l(w) = 2*w**2 + 3. Suppose 0 = r - 4, -2*s + 3*r = 2 - 0. Suppose -2*d - 3 + 32 = s*i, 5*d = -3*i + 25. Let x(c) = -d - 2 + 5. Determine l(b) - 4*x(b).
2*b**2 - 1
Let t(b) = -3*b. Suppose 4*w + 6*x + 8 = 2*x, -3*w - 2*x = 6. Let r(k) = -13*k - 1. Suppose 4*z + 6*u - 2*u - 20 = 0, 3*u = z - 21. Give w*r(n) + z*t(n).
-n + 2
Let m = 11 - 7. Let g(k) = k**2 - 3*k. Let i(c) = 18*c**2 - 39*c + 3. Let u(r) = -12*g(r) + i(r). Let b(l) = 7*l**2 - 4*l + 4. Give m*u(v) - 3*b(v).
3*v**2
Let b(n) = -5*n + 8. Let h(x) = 4*x - 8. What is -5*b(m) - 6*h(m)?
m + 8
Let t(d) = -4*d**3 + 1. Let o(z) = 7*z**3 - 2. Calculate 6*o(f) + 11*t(f).
-2*f**3 - 1
Let d(z) = z**3 - 2*z**2 + 2*z. Let a(f) = -5*f**2 + 1 + 2*f**3 + 5*f - 1. Let c be -1 + 55/(-66) + 2/(-12). What is c*a(w) + 5*d(w)?
w**3
Let l(n) = 8*n - 7. Suppose 2 = m - 4*g, 7 = -5*m - 2*g + 5*g. Let j = m + 4. Let a(b) = j*b - 4 + 17 - 17*b. Calculate 6*a(f) + 11*l(f).
-2*f + 1
Let j(d) = -2*d**3 - 4*d**2 - d + 1. Let i be j(-2). Let p(x) = 4*x**2 - 3*x + 3. Let l(m) = 5*m**2 - 4*m + 4. Determine i*l(a) - 4*p(a).
-a**2
Let j(p) = p - 326 + 7*p**2 + 326. Let b(q) = -3*q**2. Calculate 5*b(r) + 2*j(r).
-r**2 + 2*r
Let a(v) = v**2 + 5*v - 5. Let r(m) = -m**2 - 2*m + 2. Let w = 56 + -46. Give w*r(p) + 4*a(p).
-6*p**2
Let x(f) = -5*f**3 + 5*f - 6. Let v(t) = 4*t**3 - 4*t + 5. Give -7*v(i) - 6*x(i).
2*i**3 - 2*i + 1
Let h(c) = -8729*c + 387. Let g(z) = -90*z + 4. What is -387*g(u) + 4*h(u)?
-86*u
Let c(j) = -6*j**3 - 11*j**2 - 11*j - 8. Let h(g) = -4*g**2 + 0*g**3 - 3 - 27*g + 23*g - 2*g**3. Calculate 3*c(m) - 8*h(m).
-2*m**3 - m**2 - m
Let j(h) = 3*h**3 + 2*h**2 - 6*h - 6. Let b(c) = 3*c**3 + 2*c**2 - 7*c - 7. Suppose 2*t = -3*g + 18, t + g + 22 = 5*t. Determine t*b(u) - 7*j(u).
-3*u**3 - 2*u**2
Let s(m) = 19*m**3 - 23*m**2 - 13*m - 13. Let a(n) = -9*n**3 + 11*n**2 + 6*n + 6. What is 13*a(r) + 6*s(r)?
-3*r**3 + 5*r**2
Let x(c) = -5*c**2 - 34*c. Let f(g) = g**2 + g. Determine -4*f(u) - x(u).
u**2 + 30*u
Let j(i) = -6 - 3 - 4 + 16 + 2*i. Let o(y) = -4*y - 7. What is -5*j(n) - 2*o(n)?
-2*n - 1
Let a(q) = -2*q**2 - 2*q + 9. Let h be 8/3*42/28. Let v(g) = -g**2 - g + 4. Give h*a(x) - 9*v(x).
x**2 + x
Let b(f) = -2*f**3 + 5*f**2 + 6*f - 2. Let a(u) = 2*u**3 - 4*u**2 - 5*u + 2. Let s be ((-12)/14)/((-4)/(-28)). Suppose 0*m - 2*m = 10. Give m*b(p) + s*a(p).
-2*p**3 - p**2 - 2
Let t(p) = 7*p**2 + p**3 - 1 + 9*p + 5 + 2*p**2 + 0. Let b(x) = -2*x**2 - 2*x - 1. Let n be -2*((-9)/3 - -2). Let q = -10 - -19. Calculate n*t(r) + q*b(r).
2*r**3 - 1
Let a(f) = -11*f**3 + 17*f - 17. Let y(u) be the third derivative of -u**6/30 + u**4/4 - u**3 + 9*u**2 - 4. Give 6*a(x) - 17*y(x).
2*x**3
Let v = 10 - 16. Let w(s) = -25*s + 17. Let f(b) = -3*b + 2. Calculate v*w(q) + 51*f(q).
-3*q
Let q(h) = 4*h - 1. Let v(s) = -s + 1. Let o(c) = -c**3 - c + 4. Let k be o(0). Suppose -6*r = -3*r - j - 3, k = 4*r - 2*j. Calculate r*q(t) + 3*v(t).
t + 2
Let s(a) = -216*a**2 - 27. Let t(v) = -31*v**2 - 4. Give 4*s(f) - 27*t(f).
-27*f**2
Let a(f) = -f - 8. Let j(l) = l + 9. Suppose -6 = 3*y - 4*y. Give y*j(z) + 7*a(z).
-z - 2
Let a(q) = 4*q**2 - 7. Let n(k) = -3*k**2 + 6. Let x(b) = 5*b**2 + 2*b. Let l be x(1). Give l*n(m) + 6*a(m).
3*m**2
Let y(l) be the first derivative of 14*l**3/3 + 10*l**2 + 20*l - 2. Let f(c) = -5*c**2 - 7*c - 7. What is 17*f(a) + 6*y(a)?
-a**2 + a + 1
Let h(b) = -b**2 - b + 1. Let p(c) = c**2 - 4*c + 4. What is -4*h(a) + p(a)?
5*a**2
Let q(b) = -2*b**3 + 5*b**2 - 3*b. Suppose 4*p + 10 - 30 = 0. Suppose -2*i + p = -5. Let y(t) = t**3 - 3*t**2 + 2*t. Let a = 3 - 0. What is a*q(d) + i*y(d)?
-d**3 + d
Let o(q) = 1. Let n(a) = a + 2 + 9 - 3 - 1. Let c(r) = r - 1. Let f be c(6). Calculate f*o(t) - n(t).
-t - 2
Let r(l) be the second derivative of l**4/6 + 5*l**3/2 + l**2 + 18*l. Let g(i) be the first derivative of i**3/3 + 7*i**2/2 + i - 2. What is -13*g(k) + 6*r(k)?
-k**2 - k - 1
Let g(r) = r + 1. Let d(b) = -b**2 + b + 4. Suppose 2*j - 88 = -86. Determine j*g(y) - d(y).
y**2 - 3
Let a = -6 - -9. Let m(k) = -k**3 + k + 4*k - k**a. Let x(n) = -8*n. Let c(u) = u**3 + u. Let f(w) = 2*c(w) + x(w). Determine 5*f(i) + 6*m(i).
-2*i**3
Let o(u) = 4*u**2 - 5. Let d(g) = 9*g**2 - 11. Determine 6*d(k) - 13*o(k).
2*k**2 - 1
Let o(f) = -6*f**2 + 2*f - 2. Let t(i) = -3*i**2 + i - 1. Calculate -2*o(s) + 5*t(s).
-3*s**2 + s - 1
Let v(i) = -3*i**2 + 2*i - 1. Let g(q) = q**2 - 10*q - 4. Let t be g(8). Let f = t + 6. Let c = f - -5. Let r(w) = -13*w**2 + 8*w - 5. Give c*v(y) + 2*r(y).
y**2 - 2*y - 1
Let s(c) = 2*c - 6*c**2 - 5*c - 3*c. Suppose -x - 5 + 3 = 0, -4*g + x + 34 = 0. Let h(m) = 2*m**2 + 2*m. Calculate g*h(j) + 3*s(j).
-2*j**2 - 2*j
Let p(m) = 23*m - 11. Let k(o) = 7*o - 17. Let q(l) = 2*l - 4. Let s(v) = -2*k(v) + 9*q(v). Give -6*p(g) + 34*s(g).
-2*g - 2
Let s(f) = -32*f. Let g(n) = -8*n. Calculate -18*g(l) + 4*s(l).
16*l
Let u(h) = 3*h + 33. Let k(n) = n. Give 4*k(z) - u(z).
z - 33
Let i be ((0 - 2)*-1)/(-2). Let w(d) = -7*d**2 + 7*d. Let m(n) = -n**2 + n. Suppose 0 = k + 3*x + 6, -4*k + 2 = -x - 26. What is i*w(s) + k*m(s)?
s**2 - s
Let w(q) = -5*q - 4. Let v(t) = 6*t + 5. Let y = -2 - -7. Suppose y*f + s + 20 + 5 = 0, 2*s + 10 = 0. Give f*v(m) - 5*w(m).
m
Let g(t) = -8*t**3 + 6*t**2 - 7*t - 8. Let p be ((-4)/(-4))/((-1)/(-9)). Let q(b) = -12 - 14 - 17*b**3 + 13*b**2 - 15*b + p. Calculate -13*g(h) + 6*q(h).
2*h**3 + h + 2
Let w(l) = -5*l**3 - 7*l**2 + 27*l - 5. Let c(r) = -2*r**3 - 3*r**2 + 13*r - 2. Give -7*c(d) + 3*w(d).
-d**3 - 10*d - 1
Suppose p + 4 = 2*p. Let t(g) = g**2 - 1. Let k(i) = 3*i**2 - i - 1. Determine p*t(c) - k(c).
c**2 + c - 3
Let f(t) = -5*t**3 - 6. Let l(u) = 0*u**3 + 3*u**3 - 5 - 7*u**3. Calculate 5*f(c) - 6*l(c).
-c**3
Let b(x) = -4*x - 2. Let j be (-32)/(-10) + 1/(-5). Suppose 0*m - j*m + 15 = 0. Let v = 3 - 6. Let t(y) = -7*y - 4. What is m*b(i) + v*t(i)?
i + 2
Let f(m) = 3*m**3 - 2*m - 5. Let k(u) = 8*u**3 - 4*u**2 + u - 6. Let j(z) = -23*z**3 + 11*z**2 - 2*z + 18. Let i(g) = -4*j(g) - 11*k(g). Give -6*f(r) + 5*i(r).
2*r**3 - 3*r
Let b(n) = -9*n + 2. Let x(u) = 5*u - 1. Let s(m) = m**2 + 6*m - 22. Let k be s(-9). Determine k*x(r) + 3*b(r).
-2*r + 1
Let o(x) = -3*x**2 - 3*x + 3. Let v(s) = s**3 - 17*s**2 - 17*s + 17. What is 34*o(k) - 6*v(k)?
-6*k**3
Let p(z) be the first derivative of -2*z**3 + 13*z**2/2 + 7*z + 146. Let i(k) = 2*k**2 - 4*k - 2. Suppose 0*q - 4 = -2*q. Give q*p(m) + 7*i(m).
2*m**2 - 2*m
Let t(k) = 3*k**2 + 5*k. Let f(w) = -5*w**2 - 9*w. Let x(n) = 0*n**2 + n - 6*n**3 + n**2 - 2*n**3 + n**3. Let u be x(-1). Calculate u*t(h) + 4*f(h).
h**2 - h
Let b(g) = -g. Let a = 19 - 20. Let u(o) = -o + 1. Let j(y) = -y + 1. Let p(n) = -3*j(n) + 2*u(n). What is a*b(v) - 2*p(v)?
-v + 2
Let b(g) be the first derivative of -g**4/2 - g**3/3 + 5*g**2/2 - 3*g + 8. Let n(c) = 3*c**3 + 2*c**2 - 9*c + 5. Calculate -5*b(d) - 3*n(d).
d**3 - d**2 + 