 - 1
Let r(n) = -n**2 - 11*n + 8. Let g(v) = -v**2 - 7*v + 5. Calculate -8*g(t) + 5*r(t).
3*t**2 + t
Let z(h) = -13*h**3 + 3*h**2 + 6*h. Let b(q) = -27*q**3 + 7*q**2 + 13*q. Determine -6*b(k) + 13*z(k).
-7*k**3 - 3*k**2
Let y(b) = -2 + 4*b + 0*b - 5*b. Suppose 4 - 3 = q. Let c(z) = 4 - q + 0 - 2 - z. Calculate c(i) + y(i).
-2*i - 1
Let l(i) = -10*i**2 + 8*i + 9. Let v(g) = g**2 - g - 1. Let c(w) = -l(w) + 2*v(w). Let r(h) = -h**2 + h + 1. Give 2*c(q) + 22*r(q).
2*q**2 + 2*q
Let y = 49 + -44. Let n(z) be the second derivative of z**3/6 + z. Let q(p) = -p - 1. What is y*n(r) + 2*q(r)?
3*r - 2
Let j(f) = 7*f - 3. Let x(l) = 6*l - 3. Let o(b) = -5*j(b) + 6*x(b). Let n(t) = 4*t - 10. What is -3*n(v) + 10*o(v)?
-2*v
Let z(n) = 5*n**2 + 5*n - 3. Let h(y) = 1. Let t(r) = -3*h(r) - z(r). Let j(v) = v + v - v**2 - 3*v. Suppose 2*x = -2*x - 16. Give x*t(u) + 22*j(u).
-2*u**2 - 2*u
Suppose 17*f - 5 = 80. Let l(p) = -3*p**2. Let g(y) = 2*y**2. What is f*g(n) + 3*l(n)?
n**2
Let b(l) = -26*l**3 - 11*l**2 + 11*l + 6. Let k(t) = 9*t**3 + 4*t**2 - 4*t - 2. Let m(j) = 4*b(j) + 11*k(j). Let g(r) = -r**3 + 1. Determine -3*g(w) + m(w).
-2*w**3 - 1
Let y(i) = -i. Let p be (-43)/(-4) + (-3)/(-12). Let d = p - 17. Suppose 4*c - 11 - 13 = 4*r, 3*c - 2*r - 13 = 0. Let b(a) = -5*a - 2. What is c*b(v) + d*y(v)?
v - 2
Suppose -5*g + 3 = -7. Suppose -b - 1 = -2*b + x, -g*x = -b + 3. Let y(n) = -n - 1. Let o be (2/6)/((-2)/6). Let c(v) = 3*v - 1. Give b*y(k) + o*c(k).
-2*k + 2
Suppose s - 12 = 5*h + 2, -h - 3*s + 10 = 0. Let i(m) = m**2 + 1. Let n be 1/(-1)*(-2 + 5). Let d(a) = -2*a**2 - 2. Determine h*d(b) + n*i(b).
b**2 + 1
Let d(s) = s**3 - 9*s**2 + 7*s + 9. Let v be d(8). Let z(p) = -2*p + 6*p**2 - p + 0*p**2 + 0*p**2 + 1. Let j(y) = -y**2 + y. Calculate v*z(g) + 4*j(g).
2*g**2 + g + 1
Let j(f) = -f + 1. Let n(x) = 38*x**2 + 4*x - 4. Determine -4*j(s) - n(s).
-38*s**2
Let q(z) = 102*z**3 - 4*z**2 - 4. Let r(i) = 101*i**3 - 3*i**2 - 3. Give -3*q(m) + 4*r(m).
98*m**3
Let l(f) = -2*f**2 - 5. Let i(y) = y. Let w(u) = 5*i(u) + l(u). Let n(x) = -x**2 + 3*x - 3. Suppose -a + 24 = -5*a. What is a*w(q) + 10*n(q)?
2*q**2
Let c(m) = -32*m + 4*m**2 + 21*m + 9*m. Let z(s) = 4*s**2 - 3*s. Give 3*c(v) - 2*z(v).
4*v**2
Let j(b) = -10*b**3 - 2*b**2. Let k(p) = -39*p**3 - 9*p**2. What is 9*j(s) - 2*k(s)?
-12*s**3
Let n(y) = 28*y - 15. Let z(f) = -13*f + 7. Calculate -4*n(t) - 9*z(t).
5*t - 3
Let q(c) = 5*c**2 - 2*c + 6. Let l(o) = 14*o**2 - 5*o + 17. Give -3*l(j) + 8*q(j).
-2*j**2 - j - 3
Let g(w) = -2*w**3 + 3*w + 2. Suppose -5*i = 3*j + j + 60, -j - 12 = i. Let q be (0 + -1)/((-6)/i). Let n(f) = 8*f**3 + f**2 - 13*f - 9. Give q*n(x) - 9*g(x).
2*x**3 - 2*x**2 - x
Let c(x) = -5*x**3 - 12*x**2 - 8*x + 4. Let o(g) = 11*g**3 + 25*g**2 + 17*g - 9. Determine -13*c(n) - 6*o(n).
-n**3 + 6*n**2 + 2*n + 2
Let m(y) = y**2 + y - 1. Let d(u) = 13*u**2 + 4*u - 4. Give -d(r) + 4*m(r).
-9*r**2
Let t(a) = -2*a. Let r(p) = 5*p**2 + 1 - 3*p**2 + 5*p - p**2 - 2*p. What is 2*r(v) + 3*t(v)?
2*v**2 + 2
Let j(g) = -6*g**2 - 3*g - 1. Let t(d) = 5*d**2 + d - d + 5*d + 1 + 6*d**2. What is -5*j(o) - 3*t(o)?
-3*o**2 + 2
Let k(c) = c**3 - 3*c**2 - 3*c. Let f(s) = -2*s**3 + 10*s**2 + 8*s + 1. Give -3*f(h) - 8*k(h).
-2*h**3 - 6*h**2 - 3
Let s(j) = 6*j - 34. Let p(t) = 5*t - 33. Calculate 4*p(n) - 3*s(n).
2*n - 30
Let g(s) be the second derivative of -1/6*s**3 - 2*s + s**2 + 0. Let b(r) = -3 - 13 + 17. Determine -5*b(y) + 2*g(y).
-2*y - 1
Let d(y) = y + y - y + 0. Let b(m) = -7*m - 11. Let p(x) = 5*x + 9. Let w(h) = -4*b(h) - 5*p(h). What is -4*d(k) + 2*w(k)?
2*k - 2
Let v(y) = -17*y**3 + 9*y**2 + 11*y. Let b(c) = 9*c**3 - 5*c**2 - 6*c. Calculate 11*b(a) + 6*v(a).
-3*a**3 - a**2
Let d(n) = -3*n - 7. Let u(p) = 10*p + 22. Suppose a + 2 = 9. Suppose a*r = 2*r. Suppose 2*i - 3*i + 5 = r. Give i*u(s) + 16*d(s).
2*s - 2
Suppose 4*n - 8 = 4*t, -2*t = -0*t + 3*n + 9. Let v(h) = -1. Let a(g) = -g**2 + 3*g - 1. Let k be a(1). Let q(l) = 2*l**3 - 3. Calculate k*q(y) + t*v(y).
2*y**3
Let f(z) = z**3 + z**2 + z - 1. Let w(v) = -5*v**3 - 3*v**2 - v + 1. Calculate 3*f(g) + w(g).
-2*g**3 + 2*g - 2
Let f(m) = -10*m**2 - 14*m - 10. Suppose -3*i - p = -0*p + 34, i + 8 = -2*p. Let w(b) = b**2 + b + 1. What is i*w(j) - f(j)?
-2*j**2 + 2*j - 2
Let k(m) = 4*m**2 + 2*m + 6. Let b(t) = -5*t**2 - 2*t - 7. Let w(n) = -21*n**2 - 8*n - 29. Let l(z) = 9*b(z) - 2*w(z). What is -5*k(v) - 6*l(v)?
-2*v**2 + 2*v
Let l(s) = -s**3 + 3*s**2 + 2*s + 1. Let m(c) = -c - 1. Let x be m(-4). Suppose -5*q = -x*q - 20. Let v(y) = -3*y**3 + 7*y**2 + 5*y + 2. Give q*l(w) - 4*v(w).
2*w**3 + 2*w**2 + 2
Let o(q) = -16*q**3. Let l(k) = -65*k**3. Calculate 6*l(y) - 25*o(y).
10*y**3
Let z(g) = -g. Let m(b) = b + 1 - 7*b + 3*b. Let d(x) = x**2 - 4*x + 4. Let f be d(4). Let r = 6 - f. Give r*z(w) - m(w).
w - 1
Let p(l) = -l**3 - 3*l**2 + 4*l + 6. Let b be p(-4). Let k(w) = 2*w - 14*w + 3*w - 5. Let s(u) = -4*u - 2. Calculate b*k(t) - 14*s(t).
2*t - 2
Let g(w) be the second derivative of 5*w**3/6 + w**2/2 + 3*w. Let x(f) = -6*f - 1. What is -5*g(k) - 4*x(k)?
-k - 1
Let u(d) = d**2. Let p(v) = -v**3 - 4*v**2 + 6*v**2 - 2 + 5*v**2 + 0*v**2. Determine -p(a) + 5*u(a).
a**3 - 2*a**2 + 2
Let q(s) = 2*s - 4. Let x be (-3)/((3 - 1) + -3). Let a(w) = -2*w + 9. Let b(t) = -4*t + 19. Let u(o) = -13*a(o) + 6*b(o). Determine x*q(p) - 4*u(p).
-2*p
Let p(l) = 234*l**3 - 24*l**2 + 24. Let c(d) = 47*d**3 - 5*d**2 + 5. What is -24*c(k) + 5*p(k)?
42*k**3
Let g(d) = -5*d**2 - 4*d - 4. Let c(s) = 36*s**2 + 19*s + 19. Let l(i) = 9*i**2 + 5*i + 5. Let b(p) = 2*c(p) - 9*l(p). What is -4*b(q) + 7*g(q)?
q**2
Let y(w) = -5*w**2 - w + 3. Let o(q) = -4*q**2 - q + 4. Give 4*o(g) - 3*y(g).
-g**2 - g + 7
Let o(s) = -2*s**2 + 10*s. Let c(k) = -2*k**2 + 10*k. Determine 3*c(t) - 4*o(t).
2*t**2 - 10*t
Let p(r) be the third derivative of 0 + 1/20*r**5 + 2/3*r**3 + 1/12*r**4 + 0*r + 5*r**2. Let u(l) = 4*l**2 + 3*l + 5. Give 5*p(g) - 4*u(g).
-g**2 - 2*g
Let p(v) = v**2 - v - 1. Let c(h) = 18*h**2 - 2*h - 5. Determine -c(m) + 2*p(m).
-16*m**2 + 3
Let y(s) = 20*s**3 - 15. Let f(b) = 5*b**2 - 5. Let x be f(2). Let w(j) = -j**3 + 1. Calculate x*w(t) + y(t).
5*t**3
Let g(o) = 2*o. Let n = 104 + -107. Let j(s) = -2*s - 1. Calculate n*g(y) - 2*j(y).
-2*y + 2
Let d(y) = 9*y**2 + 13*y + 9. Let v(t) = -t**3 - 15*t**2 + 16*t - 11. Let b be v(-16). Let k(w) = -5*w**2 - 7*w - 5. Determine b*k(r) - 6*d(r).
r**2 - r + 1
Let k(t) = 2*t**2 + 13. Let z(i) be the third derivative of -i**5/60 - i**3 + i**2. Determine 6*k(x) + 13*z(x).
-x**2
Let t(u) = -31*u**3 - 2*u - 7. Let f(j) = -15*j**3 - j - 3. What is -13*f(l) + 6*t(l)?
9*l**3 + l - 3
Let u(p) = 3 - 1 + 2 + p. Let l(b) = -b**3 - 2*b**2 + 3*b + 3. Let m be l(-3). Suppose m*r = -r + 8. Let o(g) = -3*g - 13. Calculate r*o(x) + 7*u(x).
x + 2
Suppose -5*u + 19 = -3*c - u, 4*u = c + 1. Let y(g) = -156*g**2 + 87*g**2 + 84*g**2 - 9. Let r(v) = 7*v**2 - 4. What is c*r(x) + 4*y(x)?
-3*x**2
Let y(p) = 3*p**2 + 6*p - 6. Let l(w) = 6*w**2 + 12*w - 13. Calculate -6*l(r) + 13*y(r).
3*r**2 + 6*r
Let b(x) = -1 + 0*x + 0*x + x + 9. Let j be b(-5). Let d(q) = -2*q**3 + q**2 - q + 3. Let p(t) = t**3 - 1. What is j*p(n) + d(n)?
n**3 + n**2 - n
Let b(z) = 4*z + 1. Let i(u) = -u. Give -6*b(o) - 21*i(o).
-3*o - 6
Let h(g) = -g**2 + g - 1. Let a(o) = o**2 + o - 2*o + 1 - 2 - 2*o**2. Calculate a(u) + h(u).
-2*u**2 - 2
Let j(w) = w + 1. Let o(b) = 3*b + 4. Let r(n) = -n**2 - 7*n + 11. Let v be r(-9). What is v*j(a) + 2*o(a)?
-a + 1
Let r(p) = -2*p**2 - 4*p - 4. Let v(i) be the third derivative of -i**5/60 - i**4/24 - i**3/6 - 8*i**2. Give -r(y) + 4*v(y).
-2*y**2
Suppose -2*d + 0*o + 16 = o, d - 3*o + 6 = 0. Let h(u) = 7*u**2 + 8*u + 4. Let t(w) = w**2 + w + 1. Let j = -3 - -6. Let n = j - 4. What is d*t(c) + n*h(c)?
-c**2 - 2*c + 2
Let p = -12 - -20. Let j(n) = 6*n - 11. Let f be (-4)/18 - (232/(-72) - -6). Let u(l) = 2*l - 4. Determine f*j(w) + p*u(w).
-2*w + 1
Let p(q) = -6*q**2 - q. Let a(n) = 13*n**2 + n - 1. Determine -2*a(j) - 5*p(j).
4*j**2 + 3*j + 2
Let i(w) = 3*w**2 + 6*w + 3. Let u be (-6)/(-27) - (-86)/18. Let c(b) = b**2 + b + 1. Determine u*c(n) - i(n).
2*n**2 - n + 2
Let i(v) = 2*v**2 - 1. Let g(s) be the second derivative of s**2/2 + s. Suppose z = -0*z + 1. What is z*i(w) + g(w)?
2*