- 1
Let o(y) = y**2 + y. Let x(k) = -6*k**2 - 6*k + 3. Give -5*o(t) - x(t).
t**2 + t - 3
Let q(m) = 3*m**2 - 2*m - 2. Let o(d) = d**2 - d - 1. Suppose -g - 4*g = -20, 0 = -2*y - g + 2. Let k = -13 + 15. Determine k*o(c) + y*q(c).
-c**2
Let w(p) = -p**2 + p + 1. Let v(q) = 5*q**2 - 3*q - 34. What is v(c) + 4*w(c)?
c**2 + c - 30
Suppose -2*q + 0*q - 4 = 0. Suppose 0 = -2*p + p + 6. Let c = 1 - p. Let g(n) = 2*n**3 + 2*n + 2. Let o(l) = -4*l**3 - 5*l - 4. What is c*g(a) + q*o(a)?
-2*a**3 - 2
Let z(d) = 2*d - 11. Let f(t) = 2*t + 27. Let j(g) = -g - 2. Let b(v) = f(v) + 5*j(v). Determine 5*b(n) + 8*z(n).
n - 3
Let u(v) be the first derivative of -11*v**2/2 - 13*v + 1. Suppose 28*q - 10*q = -72. Let l(x) = 5*x + 6. What is q*u(f) - 9*l(f)?
-f - 2
Let m(d) = d**3 - 4*d**2. Suppose 7*w - 9*w = 8. Let q(l) = l**3 - 5*l**2. Calculate w*q(x) + 5*m(x).
x**3
Let a(p) = -23*p**2 + 4*p. Let r(o) = -920*o**2 + 161*o. Give -161*a(t) + 4*r(t).
23*t**2
Let y(h) = -8*h**3 - 26. Let k(b) be the second derivative of -b**5/20 - 3*b**2/2 - 31*b. What is 52*k(d) - 6*y(d)?
-4*d**3
Suppose 0 = 4*b + d - 16, -3*d = 4*b - 0*d - 8. Let g(j) = -b - j + 5. Let k(q) = 6*q. Suppose 13 = -2*z + 3*z + 3*c, -4*c = -16. Calculate z*k(n) + 4*g(n).
2*n
Suppose 22 = -5*c + 4*g, -g = -3*c + 2*g - 12. Let j(a) = -7*a + 6. Let m(h) = -8*h + 7. Give c*j(s) + 5*m(s).
2*s - 1
Let y(f) = 15*f**3 - 7*f**2 - 3. Let t(a) = -7*a**3 + 3*a**2 + 2. Determine 7*t(h) + 3*y(h).
-4*h**3 + 5
Let z(b) = -2*b**2 - b - 1. Let j = -4 - -8. Let r(t) = -2*t**2 - t - 1. What is j*z(n) - 3*r(n)?
-2*n**2 - n - 1
Let o(d) = -13*d + 41. Let l(p) = 6*p - 21. What is 9*l(x) + 4*o(x)?
2*x - 25
Let o(u) = 6*u**2 - u + 2. Let g(j) = -12*j**2 + 2*j - 4. What is 6*g(d) + 13*o(d)?
6*d**2 - d + 2
Let b(r) = r**2 - r - 1. Let o(j) = 5*j**2 + 4*j + 5. Calculate -4*b(x) - o(x).
-9*x**2 - 1
Let o(x) = -x**2 + 3*x + 3. Let n = -12 - -8. Let i(y) be the second derivative of y**4/6 - 2*y**3/3 - 2*y**2 + y. What is n*o(h) - 3*i(h)?
-2*h**2
Let g(c) = -6*c**2 - 10*c - 1. Let t(a) = 6*a**2 + 11*a. Let o(n) = 5*g(n) + 4*t(n). Let m(z) = z**2 + z + 1. Determine 5*m(p) + o(p).
-p**2 - p
Let o = 72 - 74. Let j(d) = 1. Let k(c) = c + 4. Calculate o*j(s) + k(s).
s + 2
Let x(k) = -k + 1. Let f(m) be the second derivative of 5*m**3/2 - 6*m**2 + 26*m. What is -f(p) - 12*x(p)?
-3*p
Let w(x) = 2*x + 4. Let b(l) = -5*l - 11. Determine -4*b(r) - 11*w(r).
-2*r
Let s(r) be the second derivative of r**2 + 2*r. Let z(k) = -3 + 5 + k + 0. What is 3*s(u) - 2*z(u)?
-2*u + 2
Let v(k) = 2*k**3 + 5 + k**3 + 2*k**2 + 0*k**2. Let c(d) = 0*d**3 - d**3 - 2*d**2 - 3*d**3 - 6. Calculate -5*c(i) - 6*v(i).
2*i**3 - 2*i**2
Let s(v) = 2*v**2 - 4*v. Let f(c) = c**2 - 2*c + 1. Let a(m) = -2*m**2 + m - 1. Let k(i) = a(i) + f(i). Give -4*k(x) + s(x).
6*x**2
Let d(s) = -2*s**3 + 3*s**2 - 3. Let p(r) = -5*r**3 + 7*r**2 - 7. Let m be (-6)/(-12) - 27/(-2). Give m*d(l) - 6*p(l).
2*l**3
Suppose 3*b = 5*b + 8. Let v(j) = -4*j**2 + 10 + 6*j - 4 - 3*j + 10*j**2. Let x(a) = a**2 + a + 1. Determine b*x(t) + v(t).
2*t**2 - t + 2
Let c(l) = -2*l**2 - 5*l - 7. Let n(h) = -4*h**2 - 9*h - 13. What is 11*c(u) - 6*n(u)?
2*u**2 - u + 1
Let n(p) = -p**2 + 2*p. Let d be 1 + -2 + 3 + -1. Let j(a) be the first derivative of a**2/2 - a - 4. Calculate d*n(b) - 2*j(b).
-b**2 + 2
Let k(a) be the third derivative of -a**5/10 + 7*a**4/24 - 5*a**3/6 - 4*a**2. Let p = -11 + 6. Let n(w) = -7*w**2 + 8*w - 6. What is p*n(g) + 6*k(g)?
-g**2 + 2*g
Let m(z) = 2*z + 3. Suppose i = -4*i + 10. Let b(a) = a + 1. Calculate i*m(l) - 7*b(l).
-3*l - 1
Let z(v) = -v + 2. Let a(m) = m - 9. Let l be a(5). Let s(o) = -o + 3. What is l*z(g) + 3*s(g)?
g + 1
Let y(p) = -2 + 4 - 35*p + 2 + 40*p. Let d(i) = -11*i - 9. Give -2*d(z) - 5*y(z).
-3*z - 2
Let z(k) = 6*k + 3. Let x(f) = -4 - 7*f + 14*f - 14*f. Determine -3*x(m) - 4*z(m).
-3*m
Let a(v) = -494*v**2 + 91*v - 91. Let x(p) = 11*p**2 - 2*p + 2. Give 2*a(k) + 91*x(k).
13*k**2
Let h(g) be the third derivative of 2*g**5/15 + g**4/4 - g**3/6 + 7*g**2. Let u(q) = -9*q**2 - 7*q + 1. Suppose s + 5 + 1 = 0. Give s*u(n) - 7*h(n).
-2*n**2 + 1
Let d be (9/(-4))/(2/8). Let a(x) = -x - 1. Let t(b) = -2*b + 2. Let l(h) = -16*h + 7. Let m(z) = l(z) - 6*t(z). Give d*a(j) + 2*m(j).
j - 1
Let o(t) = -t - 3. Let h(n) be the second derivative of 0 - 1/6*n**3 - 3*n - 2*n**2. What is -3*h(m) + 4*o(m)?
-m
Let w(c) = 3*c**3 + 5*c**2 - 5*c. Suppose -3*y - 28 = -7*y. Let x = -1 - -4. Let q(f) = 7*f - f**3 - x*f**3 - 7*f**2 + 0*f. Determine y*w(v) + 5*q(v).
v**3
Let k(m) = -11*m + 8. Let s(y) = 7*y - 5. Suppose 0 = -2*f - 3*f - 40. Give f*s(c) - 5*k(c).
-c
Suppose -2*k + 4 = -0*k. Suppose -k*y - 6 = 2*x, -y = -x + 2*y + 1. Let l be 2 - -1*(-1 - x). Let t(d) = 4*d + 2. Let r(c) = 9*c + 5. Determine l*r(m) - 7*t(m).
-m + 1
Let m(i) be the third derivative of i**5/60 - i**4/24 - 2*i**2. Let t = -20 + 30. Let z(s) = 3*s**2 + 3*s**2 + 0*s**2 + 6*s - t*s. Determine -4*m(f) + z(f).
2*f**2
Let l(o) = -o**3 + 3*o**2 + 3*o + 2. Let z be l(4). Let j be z/8 + (-172)/16. Let c(y) = -6*y**2 - 11*y - 6. Let q(w) = -w**2 - 2*w - 1. Give j*q(a) + 2*c(a).
-a**2 - 1
Let a(q) = -4*q**2 + 17*q + 17. Let f(h) = -h**2 + 6*h + 6. Calculate 6*a(v) - 17*f(v).
-7*v**2
Let y(p) = p + 1. Let j(q) = -15*q - 3. Determine j(m) + 2*y(m).
-13*m - 1
Let y(f) = f**2 - 3. Let m(l) = 2*l**2 - 5. Let b(o) = -3*m(o) + 5*y(o). Let z be 2 - 2 - 13*4. Let j = z - -74. Let s(d) = 6*d**2. What is j*b(a) + 4*s(a)?
2*a**2
Let g(c) = -3 - 3*c + 2*c**2 + 0*c**2 - 4*c**2 + 0*c. Let f(a) = -5*a**2 - 7*a - 7. Calculate 6*f(j) - 14*g(j).
-2*j**2
Let l(a) = -2*a**3 + 1. Let i(n) = n**3. Determine 5*i(m) + 4*l(m).
-3*m**3 + 4
Let i(r) = -10*r + 9. Suppose -4*x - 90 = -9*x. Let d(b) = -b + 1. Determine x*d(j) - 2*i(j).
2*j
Let v(p) = -2*p**2 + 9*p + 9. Suppose 2*g = -2*g + 4*b, -3*g + b = -8. Let s(c) = c**2 - 4*c - 4. Calculate g*v(u) + 9*s(u).
u**2
Let g(u) = 2*u**2 + 9. Let y(r) = -r**2 + 1. Let k(t) = -g(t) + 5*y(t). Let b(x) = 27*x**2 + 15. Calculate 4*b(d) + 15*k(d).
3*d**2
Let v(n) = 9*n**3 - 11*n + 7. Let g(o) = 5*o**3 - 6*o + 4. Let z = -73 - -78. Give z*g(u) - 3*v(u).
-2*u**3 + 3*u - 1
Let f(z) = -8*z**3 + 6*z**2 + 6*z - 39. Let t(w) = -7*w**3 + 5*w**2 + 5*w - 38. Give 5*f(p) - 6*t(p).
2*p**3 + 33
Suppose -u + 0 + 1 = -a, -2*a = 5*u + 23. Let q(y) = 2*y - 11. Let s(r) = -r + 6. Calculate a*q(d) - 7*s(d).
-d + 2
Let q(u) = 7*u**3 - 3. Let o = -22 + 25. Let f(y) = -13*y**3 + 5. What is o*f(i) + 5*q(i)?
-4*i**3
Let m(p) = 18*p. Let g(d) = 9*d. Determine 13*g(q) - 6*m(q).
9*q
Let v(s) be the third derivative of s**6/20 + s**4/6 - 7*s**3/6 + 35*s**2. Let c(b) = 7*b**3 + 5*b - 8. Give -4*c(g) + 5*v(g).
2*g**3 - 3
Let s = -21 + 23. Let p(w) = w**2 + 2. Let n(h) = -h**2 - 1. Give s*n(o) + p(o).
-o**2
Let r(u) = u - 1. Let p(n) = 5*n - 7. Suppose 4*w = -x + 21, x + 4 = w - 0*w. Give x*p(q) - 6*r(q).
-q - 1
Let a(w) = -4*w + 1. Let k be a(2). Let v(f) = -1 + 7*f - 14*f - 2. Let m(q) = 10*q + 4. Determine k*v(j) - 5*m(j).
-j + 1
Let k(o) = -17*o**2 + 5*o + 5. Let w(q) = -4*q**2 + q + 1. Give -2*k(n) + 9*w(n).
-2*n**2 - n - 1
Let j(o) = -5*o**2 + 5*o - o - 5*o + 7*o. Let c(s) = -s**2 + s. Determine 6*c(h) - j(h).
-h**2
Let c(o) = 8*o - 6. Let r(t) = 8*t - 7. Give -5*c(p) + 4*r(p).
-8*p + 2
Suppose 6 = 4*s - s. Let j(o) = -2*o**2 + s*o**3 + 3*o**3 - o + 4*o - o**2. Let q = -1 - -4. Let l(z) = -9*z**3 + 5*z**2 - 5*z. Calculate q*l(t) + 5*j(t).
-2*t**3
Let g(a) = 2*a - 4. Let b(x) = x - 3. Let j(c) = -c + 3. Let w be j(3). Let z be b(w). Let s(l) = -5*l - 6 + 2 - 3 + 8*l. What is z*s(h) + 5*g(h)?
h + 1
Let j(k) = k**3 + k**2 + 2. Suppose n - 6 = -n. Suppose -3*r + 6 = -n. Let q(l) = -2*l**3 - 2*l**2 - 3. Give r*j(u) + 2*q(u).
-u**3 - u**2
Let j(h) = -25*h**2 - 17*h + 17. Suppose -10*k = -23*k - 663. Suppose -4*b = -30 + 6. Let a(t) = -3*t**2 - 2*t + 2. Calculate b*j(f) + k*a(f).
3*f**2
Let a(s) = -1. Let j(p) = 2*p + 6. Calculate -5*a(i) + j(i).
2*i + 11
Let b(q) = -22*q + 12. Let i(f) be the first derivative of -2 - 5*f + 9/2*f**2. What is -5*b(v) - 12*i(v)?
2*v
Let z(n) = -9*n**3 - 4*n - 11. Let u(r) = -8*r**3 - 3*r - 10. Let a(d) = 4*u(d) - 3*z(d). Let k(c) = 2*c**3 + 3. Determine 6*a(b) + 14*k(b).
-2*b**3
Let l(z) = -2*z**3 - 5*z**2 + 1. Let o