d
Let o(p) = -p + 3. Let v(u) = -8*u + 9. Let l(r) = 17*r - 17. Let q(j) = 4*l(j) + 9*v(j). Determine 9*o(z) - 2*q(z).
-z + 1
Let i(w) = -w**3 - w**2 - 1. Let k(f) = -7*f**3 - 8*f**2 + 2*f - 6. Let d = 215 + -221. Calculate d*i(s) + k(s).
-s**3 - 2*s**2 + 2*s
Let f be (20/(-6))/(6/(-9)). Suppose 0*w - f*w - 10 = 0. Let l(t) be the first derivative of -2*t**2 + 4*t - 4. Let o(b) = -b + 1. Determine w*l(n) + 7*o(n).
n - 1
Let b be 2 + 8/10 + (-41)/(-205). Let j(h) = -2*h + 2. Let x(r) = 0*r - r + 3*r - 2. Determine b*x(k) + 4*j(k).
-2*k + 2
Let o(h) = h**2 + h. Let k be (-1)/(-4) + 11/4. Let t = 4 - k. Let s(g) = -5*g**2 - 3*g + 1. Give t*s(z) + 3*o(z).
-2*z**2 + 1
Let m(r) = 2 + 6 - r + 5*r. Let a(c) = 8*c + 15. Let y be 46/(-14) + (-8)/(-28). Let l(k) = y*a(k) + 5*m(k). Let s(j) = 2*j + 2. Give 2*l(x) + 5*s(x).
2*x
Let n = -39 - -41. Let l(r) = -6*r + 4. Let i(h) = -13*h + 9. Give n*i(m) - 5*l(m).
4*m - 2
Let b(l) = -86*l**2 + 10*l. Let r(d) = 57*d**2 - 7*d. Determine 5*b(n) + 7*r(n).
-31*n**2 + n
Let p be 20 - 5 - 2*2. Let k(l) = 15*l + 1. Let s(h) = -2*h - 3*h + 4*h - 2*h. Calculate p*s(x) + 2*k(x).
-3*x + 2
Let o(l) be the third derivative of l**4/24 - l**3/2 - 64*l**2. Let s(b) = b**3 - b**2 + b + 2. Let i be s(0). Let x(v) = 4 - 1 - i. Calculate o(j) + 3*x(j).
j
Let a(x) = x**3 + 1. Let j(c) = 6*c**3 + 8. Give -24*a(u) + 3*j(u).
-6*u**3
Let z(h) = -3*h - 3. Let s(w) = -3*w - 3*w - 1 + 2*w + 3*w. What is -11*s(d) + 4*z(d)?
-d - 1
Let j(m) = 2*m**3 - 2*m**2 + m - 1. Let u(i) = -2*i**3 + i. Let g be u(-1). Let f(b) = -b**3 + b**2 - b + 1. Determine g*f(z) + j(z).
z**3 - z**2
Let q(m) = m**2 + m + 1. Let b(j) = -j**3 + 4*j**2 + 12 - 5 + 3*j**2 - 64*j + 71*j. Let o be -2*8 + 2 + 0. What is o*q(g) + 2*b(g)?
-2*g**3
Let c(a) = -a - 1. Let d(m) = 5*m + 4. Let s(u) = 6*u + 5. Let k(x) = -3*d(x) + 2*s(x). What is 6*c(z) - 3*k(z)?
3*z
Let u(n) = n**3 + 3*n**2 - 4. Let w(p) = p**2 - 1. What is u(s) - 3*w(s)?
s**3 - 1
Suppose u + 11 = -2*i, 0 = -2*i + 2*u + 3*u - 17. Let z(d) = 2*d**2 + 2*d. Let w(f) = 3*f**2 + 3*f. What is i*w(a) + 10*z(a)?
2*a**2 + 2*a
Let f(w) = 1. Suppose 0 = -2*y - 1 - 5. Let g(a) = -a**3 - 3*a**2 + 1. Let q be g(y). Let d(z) = z + 5. Give q*d(x) - 5*f(x).
x
Let f(n) = 6*n - 5. Let z(i) = 13*i - 11. Give 5*f(w) - 2*z(w).
4*w - 3
Let m(d) = -13*d. Let v(b) = 5*b. Calculate -5*m(c) - 10*v(c).
15*c
Let h = -70 - -67. Let b(j) = 9*j - 3. Let u(d) = 17*d - 5. Give h*u(n) + 5*b(n).
-6*n
Let j(l) = -2*l. Let t(m) be the second derivative of -m**3/6 + 10*m. Determine -3*j(b) + 5*t(b).
b
Let x(p) = -p. Let g(f) = 3*f + 2. Let o be -1 + 2 - (-10 + 9). Determine o*x(z) + g(z).
z + 2
Let i(f) = 4*f**3 - 2*f**2 + 25*f + 7. Let o(p) = -2*p**3 + p**2 - 13*p - 4. Calculate 4*i(u) + 7*o(u).
2*u**3 - u**2 + 9*u
Let g(k) = -k. Let w = 13 + -5. Suppose -3*t - w = -5. Let b(z) = 6*z + 1. Give t*b(f) - 5*g(f).
-f - 1
Let w(v) = -851*v**2. Let x(a) = 25*a**2. Give 2*w(j) + 69*x(j).
23*j**2
Let d(i) = -i. Let x(v) = 3*v. Calculate -21*d(q) - 5*x(q).
6*q
Let x(a) = -3*a**2 - 2*a + 3. Let o(j) = -4*j**2 - 2*j + 4. Calculate -2*o(r) + 3*x(r).
-r**2 - 2*r + 1
Let y(v) = 1. Let l be (-3)/((-1)/2 - -2). Let r(s) = s + 2. Suppose 12*k + 75 = 27*k. What is k*y(p) + l*r(p)?
-2*p + 1
Let x(y) be the first derivative of -2*y**2 + 2*y - 1. Let r be 114/42 + 4/14. Let g(d) = 7*d - 3. Determine r*g(j) + 5*x(j).
j + 1
Let f(i) = -7*i**2 + 9*i + 11. Let l(o) = -3*o**2 + 4*o + 6. What is -4*f(n) + 9*l(n)?
n**2 + 10
Suppose 4*f = 2*f + 8. Let g(d) = -d**2 + 5*d. Let t be g(f). Let n(h) = 6*h**3 - 3*h + 3. Let x(i) = 5*i**3 + 2 + 0*i - 2*i + 0*i**3. Give t*n(l) - 5*x(l).
-l**3 - 2*l + 2
Let x(n) = 4 - 6 - 3*n - 2*n. Let t(b) = -10*b. Let f(c) = 3*c. Let h(i) = -7*f(i) - 2*t(i). Give -6*h(r) + x(r).
r - 2
Suppose 0 = -2*l + 6*l - 16. Let s(k) be the third derivative of k**5/60 + k**4/6 + 2*k**2. Let n(u) = 2*u**2 + 9*u. Give l*n(t) - 9*s(t).
-t**2
Let l(y) = 910*y - 55. Let c(b) = -101*b + 6. Calculate -55*c(h) - 6*l(h).
95*h
Let k(o) = -o**3 - 5*o**2 - 3. Let l(d) = -2*d**3 - 6*d**2 - 4. What is 4*k(i) - 3*l(i)?
2*i**3 - 2*i**2
Let k(r) = 12*r - 6. Let y(b) = 4*b - 2. What is -4*k(p) + 11*y(p)?
-4*p + 2
Let p(i) = 6*i - 5. Let u(z) = 9*z - 7. Give -7*p(g) + 5*u(g).
3*g
Let h(s) = s + 2. Let v(b) = b + 1. Suppose -4*o - 22 = 2*y, 0 = 5*o + 2*y - y + 20. Let r = 1 + o. Give r*v(x) + h(x).
-x
Let x(c) = -4*c**3 + 3. Let d(j) = -j**3 + 1. Let v = 22 - 20. Calculate v*x(f) - 6*d(f).
-2*f**3
Let k(s) = 7*s - 2. Let h be k(1). Suppose -3*p - 6 = -3*i, h*i - 18 = 3*p - 2*p. Let a(c) = -6*c - 1. Let m(v) = 7*v + 1. Give i*m(t) + 5*a(t).
-2*t - 1
Let t(r) = 5*r - 4. Suppose w + 4*z + 28 = -w, 0 = -2*w + z - 8. Let s(k) be the second derivative of -k**3 + 5*k**2/2 + 3*k. Calculate w*s(u) - 7*t(u).
u - 2
Let x(k) = k**3 + k**2 + k - 1. Let m(p) be the second derivative of -3/2*p**2 + 1/2*p**3 + 1/5*p**5 + 3*p + 0 + 1/6*p**4. What is m(h) - 2*x(h)?
2*h**3 + h - 1
Let f(l) = -3*l + 1. Suppose 2*w + 8 = -2*w. Let y(c) = 13*c - 5. Give w*y(d) - 9*f(d).
d + 1
Let m(j) = -j - 37. Let x(r) = 6*r + 186. What is -11*m(g) - 2*x(g)?
-g + 35
Let t be ((-1)/(-2))/((-2)/(-24)). Let v = 19 - 36. Let f(x) = 4*x**2 - 8*x - 7. Let m(r) = 11*r**2 - 23*r - 20. Calculate t*m(s) + v*f(s).
-2*s**2 - 2*s - 1
Let x(q) = 39*q - 39. Let c(d) = 3*d - 3. Let l(z) = 27*c(z) - 2*x(z). Let i(g) = g - 1. Calculate 2*i(m) - l(m).
-m + 1
Let x(v) = 2*v. Let n(d) = -d**3 + 9*d**2 + d - 9. Let l be n(9). Let z(t) = 0*t - 10*t + l*t. Calculate 11*x(r) + 2*z(r).
2*r
Let d(s) = -18*s - 5. Let f(u) = -91*u - 26. Calculate 26*d(a) - 5*f(a).
-13*a
Let b(q) = 2*q**2 - q - 13. Let v(k) = k**2 - k - 6. Calculate 3*b(t) - 5*v(t).
t**2 + 2*t - 9
Let i(d) be the second derivative of -d**4/12 + d**2/2 - 33*d. Let j(p) = -p**3 - 1. Calculate -2*i(n) - 2*j(n).
2*n**3 + 2*n**2
Suppose -a + 49 = -b + 43, 0 = -3*b - 5*a - 10. Suppose 4*c - 2*c + 6 = 0. Let w(p) = -p**2 - 5. Let j(h) = 3. What is b*j(n) + c*w(n)?
3*n**2
Let n(y) = 1. Let g(b) = -7*b - 6. Let z(p) = g(p) - 2*n(p). Let c(i) = 2*i + 1 - 2*i + i. Calculate -6*c(u) - z(u).
u + 2
Let m be (-1 - 1)/(2/(-4)). Suppose 3*f - m = 4*f. Let l(d) = -17*d**2 - 14*d + 17. Let s(o) = -6*o**2 - 1 + 0*o - 5*o + 7. Calculate f*l(b) + 11*s(b).
2*b**2 + b - 2
Let p(g) = g + 1. Let n(u) = -3*u**2 - 9*u - 9. Suppose 6 - 8 = -s + 4*c, 0 = 5*c - 20. Calculate s*p(v) + 2*n(v).
-6*v**2
Let s(h) = -19*h**2 + 4*h. Let f(p) = 627*p**2 - 133*p. Calculate -4*f(o) - 133*s(o).
19*o**2
Let v(z) = -3*z**3 + 4*z. Let d(j) = -3*j**3 + 4*j. What is 2*d(y) - 3*v(y)?
3*y**3 - 4*y
Let w be 16/9 - (-4)/18. Let s(z) be the second derivative of z**3/6 + z**2/2 + 2*z. Let x(l) = l. Give w*s(d) + x(d).
3*d + 2
Let k(u) = 3. Let s(w) = w + 7. Let b be s(-9). Let n be (-2)/(-3)*3/(-2). Let y = n - -12. Let h(l) = l**2 - l + 16. Give b*h(p) + y*k(p).
-2*p**2 + 2*p + 1
Let r(z) = -4*z + 19. Let a(u) = -5*u + 20. Determine -6*a(h) + 7*r(h).
2*h + 13
Let w(q) = 6*q + 10. Let z(y) = 17*y + 29. Give 11*w(p) - 4*z(p).
-2*p - 6
Let r(u) = -9*u**2 + 15. Let m(f) = -f**3 + f**2 - 3*f + 2. Let j be m(3). Let v = j - -36. Let l(o) = -5*o**2 + 8. Give v*l(a) - 6*r(a).
-a**2 - 2
Let h(a) = 4*a - 12. Let j be 1/2*(-5 - 1). Let m(o) = 7*o - 25. Let u(f) = j*m(f) + 7*h(f). Let l(w) = 10*w - 13. Determine -5*l(v) + 7*u(v).
-v + 2
Let n = 103 - 101. Let r(f) = -9*f**3 - 2*f**2 - 2*f - 2. Let b(o) = o**3 + o**2 + o + 1. Calculate n*b(u) + r(u).
-7*u**3
Let u(k) = -3*k + 4. Let n(l) = -4*l + 5. Give -6*n(a) + 7*u(a).
3*a - 2
Let f(a) = a. Let i(p) = -2*p**2 - 9*p - 1. What is -6*f(g) - i(g)?
2*g**2 + 3*g + 1
Let x(m) = 6*m**2 - 3*m - 6. Let v(t) = 6*t**2 - 4*t - 7. Give -3*v(b) + 4*x(b).
6*b**2 - 3
Let g(i) = 15*i - 12. Let c(p) = -6*p + 5. Suppose -b - 5*m - 22 = 0, 5*b + 22 + 28 = 5*m. Calculate b*c(v) - 5*g(v).
-3*v
Let m(t) = -t**3 + 2*t**2 + 2*t + 1. Let j(u) = 2*u**3 - 5*u**2 - 5*u - 3. Calculate -2*j(f) - 5*m(f).
f**3 + 1
Let c(m) = 5*m**3 + m**2 + m - 3. Let n(y) = y**2 + y - 1. Determine c(x) - n(x).
5*x**3 - 2
Let d(k) = -k**3 + k. Let z(t) = 18*t**3 + t**2 - 6*t - 2. Calculate -4*d(b) - z(b).
-14*b**3 - b**2 + 2*b + 2
Let j be -1 + 3 - (-2 - -2). Let m(y) = 0*y + 1 + 0*y + 4*y**j - 3*y**2 + y. Let n(a) = 2*a**3 - a**2 - 1. Wh