5*g(f).
f - 2
Let t(d) = 6*d**2 + d - 2. Let l(p) = -7*p**2 - p + 3. Determine 5*l(k) + 6*t(k).
k**2 + k + 3
Let f(j) = -j + 1. Suppose 0 = 63*p - 69*p + 6. Let s(b) = -2*b**2 + 2*b - 5. Determine p*s(t) + 2*f(t).
-2*t**2 - 3
Let i(b) = -b**2. Let t(v) = 2*v. Let p(u) = -18*u + 2. Let x(z) = p(z) + 10*t(z). Give i(s) - x(s).
-s**2 - 2*s - 2
Let o(l) = l. Let x(c) = 4*c + 1. Determine -5*o(j) - x(j).
-9*j - 1
Let q(g) = 9*g + 7. Let h(p) = p + 1. Let b = 31 - 32. Calculate b*q(l) + 6*h(l).
-3*l - 1
Let d(r) = -8*r**2 + 14*r**2 - 5*r**2 - 2*r. Let p(k) = 6*k**2 - 11*k - 1. Calculate 11*d(m) - 2*p(m).
-m**2 + 2
Let x(q) = 5*q**2 - 13. Let y(c) = -2*c**2 + 6. Let u = 12 - 6. Determine u*x(k) + 13*y(k).
4*k**2
Let d(u) = 2 - 2 + 1 + 2*u. Let q(c) = 1. Let a be 2/(-10)*-1*5. What is a*d(f) - 2*q(f)?
2*f - 1
Let j(q) = -8*q + 1. Let s(g) be the first derivative of 23*g**2/2 - 3*g + 1. Let c be ((-96)/112)/((-1)/(-7)). Let x = -14 + -3. Calculate c*s(l) + x*j(l).
-2*l + 1
Let f(l) = 4*l**2 - l + 8. Let w(k) = k**2 + 1. Calculate -f(v) + 6*w(v).
2*v**2 + v - 2
Let q(a) = -7*a**3 - 5*a**2 + a. Let v(p) = 4*p**3 + 3*p**2 - p. Let n(h) = h**2 + 4*h - 3. Let x be n(2). Let k = x - 12. What is k*q(j) - 5*v(j)?
j**3 + 2*j
Suppose 2*v + 3*v = 4*p + 2, v = -p + 4. Let o = v - 8. Let a(q) = -q**3 + 5*q + 5. Let f(t) = -t**3 + 6*t + 6. Calculate o*a(x) + 5*f(x).
x**3
Let b be (-6)/27 + 60/27. Let t(k) = -4*k - k + 5 + k - b*k. Let g(v) = -7*v + 6. What is -4*g(y) + 5*t(y)?
-2*y + 1
Let g(x) = 2*x**2 + x. Let l(q) = -4*q**2 + 4*q**2 - 2*q**2 + q**2. Calculate -2*g(j) - 5*l(j).
j**2 - 2*j
Let a(n) be the first derivative of 22*n**3/3 - 3*n**2/2 + 13*n - 5. Let x(y) = -7*y**2 + y - 4. Determine 2*a(b) + 7*x(b).
-5*b**2 + b - 2
Suppose 22 = 6*y + 88. Let x(c) = 2*c**2 - 6*c - 6. Let l(t) = -3*t**2 + 11*t + 11. Give y*x(b) - 6*l(b).
-4*b**2
Let p(d) = -6*d - 4. Let s(k) = -9*k - 6. What is 8*p(n) - 5*s(n)?
-3*n - 2
Let i = -48 - -54. Let x(a) = a + 1. Let w(k) = -5*k - 7. What is i*x(l) + w(l)?
l - 1
Let o(l) = 4*l + 6. Let g(b) = 2 - 4*b + 5*b - 1. Suppose -3*i + 4 = -5. Suppose -5*f - 4*n = -0*n - 11, -23 = i*f - 5*n. What is f*o(j) + 5*g(j)?
j - 1
Let p(c) = -c. Suppose -3*q + 0 = -6. Let a(k) = 3*k + 0 + k + 0. Determine q*a(y) + 6*p(y).
2*y
Let p(f) = 5*f - 2. Let j = 6 + -1. Let v(x) = -6*x + 2. What is j*p(m) + 4*v(m)?
m - 2
Let c(x) = -5*x + 97. Let s(f) = 2*f - 48. Give 3*c(q) + 7*s(q).
-q - 45
Let c(v) = -8*v - 2. Let t(i) = -i - 1. Calculate -c(l) + 3*t(l).
5*l - 1
Let t(w) = 7*w**2 - 8*w - 3. Let r(u) = 15*u**2 - 16*u - 6. Let v(f) = -2*r(f) + 5*t(f). Let j(s) = s**2 - s - 1. Give 6*j(d) - v(d).
d**2 + 2*d - 3
Let n(z) = z. Let i be n(6). Let a = 0 + 3. Let k(t) = a*t + i - 7*t - 2*t - 5*t**3. Let r(m) = -11*m**3 - 13*m + 13. Determine -13*k(u) + 6*r(u).
-u**3
Let f(a) = 8*a - 1. Let u(y) = -8*y. Give -3*f(x) - 2*u(x).
-8*x + 3
Let h(d) = 8*d**2 + 4*d + 3. Let f(t) = -9*t**2 - 5*t - 4. What is 5*f(n) + 6*h(n)?
3*n**2 - n - 2
Let q(n) be the third derivative of 9*n**5/20 + n**4/2 + 2*n**3 - n**2. Let h(w) = 11*w**2 + 5*w + 5. What is -12*h(y) + 5*q(y)?
3*y**2
Let p(f) = 3*f - 1. Let g = -84 + 85. Let s = -4 - 0. Let j(q) = q - 4*q + 4*q. Give g*p(m) + s*j(m).
-m - 1
Let o(k) be the third derivative of k**4/24 - 5*k**3/6 + 9*k**2. Let r(i) = 1. What is o(h) + 5*r(h)?
h
Let a(p) = -5*p**2 + 3*p + 1. Let r(l) = -25*l**2 + 15*l + 5. Let c(u) = 11*a(u) - 2*r(u). Let s(v) = -11*v**2 + 7*v + 3. Calculate -7*c(o) + 3*s(o).
2*o**2 + 2
Let h(g) = g**2 - 4*g - 5. Suppose -18*a + 72 = -0*a. Let m(n) = 4*n**3 - 1. Let s be m(1). Let i(l) = -2 + 4 - s - l. Give a*i(d) - h(d).
-d**2 + 1
Suppose -16 - 8 = -4*z. Let f(p) = 4*p - 5 + 3*p - 2*p. Let t(r) = 4*r - 4. What is z*t(c) - 5*f(c)?
-c + 1
Let y be 18/8 + 3/4 + -1. Let i(z) be the first derivative of 3 + 7*z + 7/2*z**y. Let v(r) = -11*r - 11. Calculate 8*i(c) + 5*v(c).
c + 1
Let d(i) = 4*i + 1. Let t(v) = -v**2. Let s be t(-1). Let a = 1 - s. Let f(h) = 17*h + 4. Give a*f(m) - 9*d(m).
-2*m - 1
Let s(t) = -9*t + 23. Let h(p) = -14*p + 35. What is -5*h(q) + 8*s(q)?
-2*q + 9
Let q(f) = -f + 2. Let j be q(8). Let s = -4 - -17. Let g(n) = -4*n**2 - n + 4. Let k(w) = -9*w**2 - 2*w + 9. Calculate j*k(c) + s*g(c).
2*c**2 - c - 2
Let w(b) = -7*b - 4*b - 6 + 8*b. Let k(j) = j + 1. Give -4*k(v) - w(v).
-v + 2
Let k(y) = 6*y - 23. Let o(x) = 7*x - 24. Give -5*k(m) + 4*o(m).
-2*m + 19
Let f(h) = 15*h + 11. Let j(r) be the second derivative of -7/6*r**3 + 0 + 3*r - 5/2*r**2. Determine -6*f(k) - 13*j(k).
k - 1
Let g(w) = -9*w - 9. Let s(r) = -25*r - 25. Let a(j) = -2*j - 2. Let p(k) = 40*a(k) - 3*s(k). Let o = 207 + -203. Determine o*g(h) - 7*p(h).
-h - 1
Let o(a) = -a + 1. Let s be (8/6 + 0)*-3. Let r = 112 - 69. Let y = r + -25. Let d(c) = -4*c + 5. Calculate s*d(q) + y*o(q).
-2*q - 2
Let j(p) = 2. Let q(x) = x**2 + 3. Let o be 5/2 - (-1)/2. Suppose -3 - 6 = -o*g. Suppose -1 - 41 = 21*t. What is g*j(a) + t*q(a)?
-2*a**2
Let y(v) = v**2 + v + 1. Let l(g) = -2*g**3 - 3*g**2 - 4*g. Let x(t) = 4*t**3 + 6*t**2 + 8*t + 1. Let o(k) = -11*l(k) - 6*x(k). Give -o(p) - 4*y(p).
2*p**3 - p**2 + 2
Let t(v) = -10*v - 2. Let s(r) = 21*r + 5. Calculate 6*s(i) + 14*t(i).
-14*i + 2
Let y(h) = 2*h**3 + 3*h**2 - 7*h + 1. Let g(k) = -k**3 + k**2 - k - 1. Let l(d) = 12*d**2 - 20*d - 2. Let z(x) = 5*g(x) - l(x). Give -7*y(c) - 3*z(c).
c**3 + 4*c + 2
Let u(d) = d + 5. Suppose x = 2*i, -4*i + 3 = -x - 3. Let c(o) = -x - 3*o + 0*o + 2*o. Determine 3*c(y) + 4*u(y).
y + 2
Let l = 2 + -1. Let d(w) = 1 + 7*w**2 - 4 - 15*w**2 - l + 8*w. Let p(t) = -t**2 + t - 1. Calculate -d(o) + 6*p(o).
2*o**2 - 2*o - 2
Let h(p) = p**3 - 5*p**2 - 7*p + 1. Let u(s) = -s**2 - s. What is 2*h(r) - 14*u(r)?
2*r**3 + 4*r**2 + 2
Let p(t) = -11*t - 9. Let f(a) = -5*a - 4. Suppose -14*y + 4 = -13*y. Give y*p(c) - 9*f(c).
c
Let b(v) = v + 4. Let f(h) = h + 3. Let c(z) = -5*b(z) + 6*f(z). Let i(u) = -2*u + 3. Determine 5*c(j) + 3*i(j).
-j - 1
Let g(z) = z - 1. Suppose -2 + 7 = l. Let b(a) = -a + 18. Let s be b(15). Let k(r) = s - 3 + 6*r - 6 + 3. What is l*g(c) - k(c)?
-c - 2
Let p(n) = -n. Let a(j) = -j**2 + 9*j - 7. Let i be a(8). Let m(h) = 5*h. What is i*m(w) + 6*p(w)?
-w
Let m(u) be the third derivative of -u**4/24 + u**3/6 - 7*u**2. Let f(x) = -2*x + 3. What is -f(h) + 3*m(h)?
-h
Let m(y) = 4*y**2 + 6*y - 6. Suppose -3*c + 13 = 4. Suppose c*v - 4*n - 38 = -0*n, -4*v + 34 = -2*n. Let b(s) = 3*s**2 + 5*s - 5. What is v*b(d) - 5*m(d)?
-2*d**2
Let c(p) = -4*p - 9. Let m(t) = -9*t - 18. Calculate -14*c(z) + 6*m(z).
2*z + 18
Let n(p) = 2*p**3 - p**2 + 3. Let j(i) = 4*i + 21. Let a be j(-6). Let v(b) = 6*b**3 - 4*b**2 + 10. Determine a*v(c) + 10*n(c).
2*c**3 + 2*c**2
Let c(r) = -2*r**3 + 4*r**2 + 2*r + 2. Let d(h) = 5*h**3 - 13*h**2 - 6*h - 7. Let l(x) = -7*c(x) - 2*d(x). Let p(f) = -f**3 + f**2 + f - 1. Give l(z) + 2*p(z).
2*z**3 - 2
Let r(w) = 8*w**3 - 4*w**2 - 4*w. Let n = -33 - -22. Let j(d) = 23*d**3 - 11*d**2 - 11*d. Give n*r(l) + 4*j(l).
4*l**3
Let q be 6*-2*(-2)/4. Let c(k) = -6. Let o(y) = -y + 6. Let t(z) = -4*c(z) - 5*o(z). Let j(v) = -v + 17 + 2*v - 15*v. Determine q*j(d) + 17*t(d).
d
Let w(p) = p**2 + 11*p + 7. Let s be w(-8). Let g(o) = 2*o + 1. Let a(n) = -6*n - 3. Give s*g(i) - 6*a(i).
2*i + 1
Let i(r) = 2*r**3 - 5*r**2 - 8*r. Let a(k) = 2*k**2 + 9*k + 1. Let p be a(-5). Let x(b) = 3*b**3 - 6*b**2 - 9*b. What is p*i(v) - 5*x(v)?
-3*v**3 - 3*v
Let d(v) = -15*v - 9. Let p = 30 - 19. Let c(u) = 8*u + 5. What is p*c(y) + 6*d(y)?
-2*y + 1
Let a(b) = -2*b**3 + b**2 + b + 1. Let v(h) = -h. What is a(k) + v(k)?
-2*k**3 + k**2 + 1
Let w = -15 - -8. Let h(l) be the first derivative of -l**4/2 + 4*l**3/3 - l**2/2 + 4*l - 8. Let p(c) = 3*c**3 - 7*c**2 + 2*c - 7. Calculate w*h(k) - 4*p(k).
2*k**3 - k
Let r(o) = 3*o**2 + 3*o - 5. Let a(b) = 3*b**2 + 3*b - 6. What is 2*a(m) - 3*r(m)?
-3*m**2 - 3*m + 3
Let s(a) = 2. Let f(t) = t - 10. Suppose 7 + 4 = o. What is o*s(z) + 2*f(z)?
2*z + 2
Let o(v) = -4*v**2 - 2*v + 5. Let m(f) = -4*f**2 - 2*f + 4. What is -4*m(q) + 3*o(q)?
4*q**2 + 2*q - 1
Let o(m) = 4 + 3 + 2*m - 8. Suppose 4*s + 2*i - 22 = 0, 5*i - 12 = 2*s - 5. Let r(c) = 3*c - 1. What is s*r(v) - 5*o(v)?
2*v + 1
Let z(l) = 5*l**3 + 3*l**2 - 3*l - 1. Suppose d = 5*b - 2 - 20, 4*d = -b