- 5*t(o).
o**2 + 5*o + 3
Let x(m) = 2*m**3 + 5*m**2 - 3*m + 4. Let p(b) = -3*b**3 - 6*b**2 + 4*b - 5. What is 4*p(t) + 5*x(t)?
-2*t**3 + t**2 + t
Let m(g) = g + 6. Let d(l) = -8*l - 17. Let p(k) = -k - 1. Let y(z) = d(z) - 6*p(z). Give -7*m(r) - 4*y(r).
r + 2
Let k(j) = -j. Let o(s) = -1. Let u(d) = k(d) - o(d). Let q(m) be the second derivative of -2*m**2 + 1/3*m**3 + 0 - 11*m. What is 2*q(v) + 6*u(v)?
-2*v - 2
Let d(k) = k. Suppose -3*o = o. Let x(t) = 0 + 4*t + o. Determine 2*d(q) - x(q).
-2*q
Let a(w) = -8*w + 14. Let c(b) = -9*b + 15. What is 6*a(h) - 5*c(h)?
-3*h + 9
Let d(u) = 2*u**2 - 3. Let m be (2*1/2)/(-1). Let i(x) be the second derivative of 0*x**3 - 1/2*x**2 + 0 + 1/12*x**4 + 6*x. What is m*d(z) + 3*i(z)?
z**2
Let o(v) = -2*v - 1. Let z(h) = -6*h - 4. Let r(g) = 5*g + 3. Let m(t) = 3*r(t) + 2*z(t). Calculate 3*m(y) + 5*o(y).
-y - 2
Let w(j) be the third derivative of -j**4/24 - j**3/3 + j**2. Let v(t) = -3 + 4 + 1 + t. Let q = 16 + -19. Determine q*w(s) - 4*v(s).
-s - 2
Let i(j) = -5. Let g(v) = 14. Let x(p) = -4*g(p) - 11*i(p). Let o(r) = 2*r**2 - 1. Suppose 2 = -4*z - 2. Calculate z*o(k) + 3*x(k).
-2*k**2 - 2
Let s(l) = -6*l**2 - l + 3. Let u(q) = q**2 - 1. Determine -s(j) - 3*u(j).
3*j**2 + j
Let w(x) = 9*x - 5. Let p(d) = -8*d + 4. Determine 6*p(g) + 5*w(g).
-3*g - 1
Let b(d) = -2*d**2 + 2. Let t(x) = x**3 + 11*x**2 - x - 11. What is 11*b(g) + 2*t(g)?
2*g**3 - 2*g
Let n(z) = 5*z + 10. Let f(i) = -6*i - 10. What is -3*f(b) - 4*n(b)?
-2*b - 10
Let a(v) = v**2 - 1. Let x(l) = 18*l**2 + 8. What is 8*a(m) + x(m)?
26*m**2
Let r(g) = 2*g**2 - 4*g + 3. Let l(v) = v**2 + v - 1. Give -4*l(b) - r(b).
-6*b**2 + 1
Let o(k) = 8*k**2 - 4*k - 4. Let y(g) = -9*g**2 + 5*g + 4. Determine -6*o(h) - 5*y(h).
-3*h**2 - h + 4
Let n(h) = -17*h - 2. Let a(p) = 152*p + 19. Determine 2*a(s) + 19*n(s).
-19*s
Let d(p) = -p**3 - 9*p**2 + 9*p - 9. Let s be d(-10). Let z(a) = 4*a - 5. Let u(m) = m - 1. Calculate s*z(k) - 3*u(k).
k - 2
Let k(n) = -18*n + 15. Let o(w) = -w + 1. Give -k(p) + 12*o(p).
6*p - 3
Let v(b) = -5*b**2 + 3*b - 3. Let c(d) = 44*d**2 - 10*d + 21. Let t(r) = 15*r**2 - 3*r + 7. Let u(y) = -4*c(y) + 11*t(y). Determine 4*u(h) - 9*v(h).
h**2 + h - 1
Let m(k) = -6*k - 5 - 2*k + 3*k. Let l(y) be the second derivative of y**3/3 + y**2 + 8*y. Suppose 0 = 4*x - 8*x + 12. Give x*m(w) + 7*l(w).
-w - 1
Let i(t) = -5*t - 1. Let m(q) = 9*q + 1. Suppose -3*u = -3*n - 24, -3*u + 5*u + 4*n + 14 = 0. Give u*m(y) + 5*i(y).
2*y - 2
Let m(c) be the second derivative of -c**3/6 + c. Let r(p) = 15*p + 24*p - 49*p + 1. Calculate 22*m(t) - 2*r(t).
-2*t - 2
Let t(d) be the second derivative of -d**3/6 + 5*d. Let m(r) = -4*r + 1. Let x(p) = -4 + 4 + p - 3. Let o be x(4). Determine o*m(c) - 2*t(c).
-2*c + 1
Let v(n) = 6*n**2 - 2*n + 1. Suppose 4 = a - 2*a. Let p be 2 - a/2*1. Let d(c) = -5*c**2 + c - 1. Determine p*d(k) + 3*v(k).
-2*k**2 - 2*k - 1
Let d(f) = 13*f - 1. Let t(w) = 12*w - 2. Determine -6*d(b) + 4*t(b).
-30*b - 2
Suppose -5*b = d - 77, -5*d - 67 = -5*b - d. Suppose 2*j + 0*k - 11 = -k, b = 5*k. Let c(n) = -13*n. Let o(z) = 7*z. Calculate j*c(m) + 7*o(m).
-3*m
Let a(t) = 14*t + 7. Let n(x) = -5*x - 2. What is -4*a(g) - 11*n(g)?
-g - 6
Let b(z) = 26*z + 52. Let k(c) = 1. Calculate -b(l) + 52*k(l).
-26*l
Let f(k) = -44*k**2 - 11*k - 9. Let a(y) = 22*y**2 + 6*y + 5. Determine 7*a(w) + 4*f(w).
-22*w**2 - 2*w - 1
Let p(i) = -2 + 1 - 4. Let b(t) = -t**2 - 6. Let l(g) = -2*b(g) + 3*p(g). Let v be (34/1)/(-2 + 1). Let x(n) = -11*n**2 + 17. Determine v*l(m) - 6*x(m).
-2*m**2
Let r(y) = 4*y**2 - 4*y + 1. Let m(t) = t**2 - t + 1. Determine 2*m(i) - r(i).
-2*i**2 + 2*i + 1
Let s(o) = -3*o + 7. Let u(y) = y - 2. Let r(j) = 2*s(j) + 7*u(j). Let b(d) = 2*d + 2. Let p = 14 + -13. Suppose 2*l - 15 = 7*l. Calculate l*r(i) + p*b(i).
-i + 2
Let h(z) = 2*z**2 + 3. Let p(w) = -2*w**2 + w - 4. Calculate 2*h(t) + 3*p(t).
-2*t**2 + 3*t - 6
Let v(g) = -g + 1. Let r(p) = -3 - 1 + 6*p - 1. What is -2*r(d) - 10*v(d)?
-2*d
Let p be -2*(2 - (-5)/(-2)). Let b(a) = 3*a + 6. Let r(l) = -6*l - 6. Let s(f) = -f - 1. Let q(i) = -r(i) + 5*s(i). Give p*b(m) - 6*q(m).
-3*m
Let i(m) = -19 + 7*m - 25 - 4*m + 40. Let p(q) = -6*q + 7. Determine -7*i(h) - 4*p(h).
3*h
Let r(j) = -3*j**2 + 5*j + 2. Let p(w) = -2*w**2 + 4*w + 2. Suppose -4*g + 0*g = 20. Let b be (-4)/(-10) + 22/g. Let s = -2 - -5. Determine b*p(f) + s*r(f).
-f**2 - f - 2
Let s(k) = -56*k**3 - 8*k. Let t(j) = 19*j**3 + 3*j. Give -6*s(w) - 16*t(w).
32*w**3
Let k(w) = w. Suppose 3*v - 2*v - 1 = -l, -4*v - 2*l + 6 = 0. Let p(c) = c. What is v*p(m) - 3*k(m)?
-m
Let y(w) = 9*w**2 - 6*w + 6. Let r(z) = -z**2 + z - 1. Suppose -5*c + 6*c - 1 = 0. What is c*y(j) + 6*r(j)?
3*j**2
Let y(q) = 2*q**2 - 5*q - 6. Let r(j) = j**2 - 4*j - 5. Give -4*r(z) + 3*y(z).
2*z**2 + z + 2
Let p(k) = -4*k**2 + 7*k + 4. Let m(x) = -3*x**2 + 5*x + 3. Determine -7*m(q) + 5*p(q).
q**2 - 1
Let q(r) = -5*r**3 + 5*r**2 - 7*r - 9. Let i(p) = -2*p**3 + 2*p**2 - 3*p - 4. Suppose -3 + 9 = j. Suppose h - 20 = -70. Let a = h + 36. Give a*i(n) + j*q(n).
-2*n**3 + 2*n**2 + 2
Let q(s) be the first derivative of -s - 1. Let a(b) = -3*b + 6*b - b - 41 - 2*b**2 + 36. Give a(x) - 4*q(x).
-2*x**2 + 2*x - 1
Let r(l) = -11. Let d(s) = 3. Let g(v) = -14*d(v) - 4*r(v). Let z(f) = f + 5. Suppose -7*o - 2*p + 31 = -2*o, 0 = -2*o + 5*p - 5. Calculate o*g(b) - 2*z(b).
-2*b
Let z(y) = -2*y + 10 + 5*y**2 - 3*y - 5 - 2*y**3. Let h(w) = w**3 - 2*w**2 + 2*w - 2. Calculate 15*h(d) + 6*z(d).
3*d**3
Let y(v) = -3*v - 4. Let k(r) = 7*r + 9. Determine -6*k(g) - 13*y(g).
-3*g - 2
Let x(d) = 4*d - 2. Let h(u) = 15*u - 7. Let m be -4*9/12*-1. Suppose -2*v = -j + 9, 6*v - m*j = v - 21. Determine v*h(g) + 22*x(g).
-2*g - 2
Suppose 2*r = -g + 9, -2 + 1 = r - 5*g. Let v(p) = -p + 1. Let k(t) = 3*t**2 + 4*t - 2*t**2 - 4 - 2*t**2. Calculate r*v(o) + k(o).
-o**2
Let a(u) = -u**2 + u + 1. Let y(m) = -3*m**2 + 3*m + 3. Let w = 27 + -22. Determine w*a(h) - y(h).
-2*h**2 + 2*h + 2
Let d(b) = b**3 - 6*b**2 - 10*b. Let w(z) = z**3 - 5*z**2 - 11*z. Give -4*d(m) + 5*w(m).
m**3 - m**2 - 15*m
Let s(w) = 126*w**3 + 5*w**2. Let t(l) = 63*l**3 + 3*l**2. What is 3*s(a) - 5*t(a)?
63*a**3
Let s(p) = p**2. Let z(h) = -4*h**3 + 4*h**2 - 2. Calculate 3*s(k) - z(k).
4*k**3 - k**2 + 2
Let w(a) = -6*a + a + 2*a + 2*a. Let p(f) = -3*f - 1. Calculate -p(d) + 5*w(d).
-2*d + 1
Let h(o) = 2 - o - 3 - 1 - 3*o**2 + 5*o. Let c(v) = -13*v**2 + 17*v - 9. What is -2*c(d) + 9*h(d)?
-d**2 + 2*d
Let g(s) = 11*s**3 - 5*s + 5. Let v(u) = 54*u**3 - 24*u + 24. Calculate 24*g(k) - 5*v(k).
-6*k**3
Let n(y) = 20*y**2 - 3*y + 3. Suppose 4*t + 15 = -3*k - 20, -2*k - 2*t - 26 = 0. Let o(g) = 7*g**2 - g + 1. Give k*o(a) + 6*n(a).
a**2 - a + 1
Let i(s) = 7*s**3 + 4*s**2 + 4*s + 16. Let l(u) = -36*u**3 - 21*u**2 - 21*u - 81. Calculate -21*i(y) - 4*l(y).
-3*y**3 - 12
Let y(w) = w**2. Let t(h) = 11*h**2 + 2*h. Determine t(g) + 2*y(g).
13*g**2 + 2*g
Let o(y) = -y**3 + 6*y**2 + 6*y - 6. Let j(z) = z**2 + z - 1. Calculate -30*j(r) + 5*o(r).
-5*r**3
Let m(v) = -12*v**3 - 4*v**2 + 3*v - 4. Let r(q) = q**3 - q**2 + q - 1. Calculate m(a) - 4*r(a).
-16*a**3 - a
Let b(s) = -4*s**2 - 4. Let g(r) = 13*r**2 + 11. Give -11*b(m) - 4*g(m).
-8*m**2
Let v(f) = 5*f**2 - 2*f + 4. Let x(k) = k**2 + 1. Let d be (3 - (-1 - -2))/((-1)/2). Calculate d*x(q) + v(q).
q**2 - 2*q
Let z(g) = -3*g**2 - 33*g - 5. Let b(o) = -2*o**2 - 32*o - 4. Calculate -5*b(d) + 4*z(d).
-2*d**2 + 28*d
Let h(u) = -6*u + 11. Let d(f) be the second derivative of 0 + 5*f - f**2 + 1/6*f**3. What is 22*d(v) + 4*h(v)?
-2*v
Let f(p) be the first derivative of -p - 9. Let k(a) = -2*a**2 - 4. Give -4*f(x) + k(x).
-2*x**2
Let l(p) = -p**2 + p - 1. Let o(d) = -2*d**2 - 4*d + 4. Give -20*l(v) - 5*o(v).
30*v**2
Let l(u) be the third derivative of 7/6*u**3 + 0*u - 1/24*u**6 + 0 + 0*u**5 - u**2 - 7/24*u**4. Let j(q) = 2*q**3 + 3*q - 3. Calculate 7*j(s) + 3*l(s).
-s**3
Let m(h) = -4*h**2 - h. Suppose 25 = 2*b + 3. Let g(n) = 1. Let x(o) = -7*o**2 - 2*o - 1. Let z(c) = -g(c) - x(c). What is b*m(d) + 6*z(d)?
-2*d**2 + d
Let x(h) = 3*h - 14. Suppose 0 = t - 3*t. Suppose t = 4*k + 3*s + 2*s + 27, 2*k + 4*s = -12. Let y(c) = c - 5. Give k*y(n) + 3*x(n).
n - 2
Suppose k = -2*k - 3. Let u = -3 - -4. Let f(n) = 5*n**3 + n**2 - n