 1
Let w(m) be the first derivative of -m**4/2 + 4*m**3/3 + 4*m + 17. Let l(a) = 2*a**3 - 5*a**2 - 5. What is 4*l(i) + 5*w(i)?
-2*i**3
Let o = -25 - -23. Let j(w) = w**2 - w + 1. Suppose 0 = 5*f + u - 6*u - 10, 4*f = -3*u - 27. Let h(p) = -p**2 + p - 1. Determine f*j(t) + o*h(t).
-t**2 + t - 1
Let s(j) = -j + 3. Let k(x) = 5*x. Let a(l) = 14*l - 1. Let p(o) = 4*a(o) - 11*k(o). Suppose 3*u = 5*c - 7 + 47, -3*c - 5 = 2*u. Give c*p(w) - 7*s(w).
2*w - 1
Let h(i) = -7*i**2 + 5. Let g(s) = 1. Let m(v) = 3*v**2 - 4. Let b(l) = -2*g(l) - m(l). Give 5*b(r) - 2*h(r).
-r**2
Let p(v) be the third derivative of v**4/8 + v**3/3 + 3*v**2. Let l(a) = -a**2 + 4*a + 3. Give 2*l(m) - 3*p(m).
-2*m**2 - m
Let a(k) = -4*k**2 + 133*k + 5. Let s(f) = 2*f**2 - 67*f - 2. Calculate 2*a(p) + 5*s(p).
2*p**2 - 69*p
Let t(c) = c - 11. Let a(v) = -v + 24. What is -3*a(h) - 5*t(h)?
-2*h - 17
Let m(z) = -9*z**3 + 5*z**2 + 11*z - 5. Let n(t) = 5*t**3 - 3*t**2 - 6*t + 3. What is 3*m(w) + 5*n(w)?
-2*w**3 + 3*w
Let l(h) be the third derivative of -h**5/60 + h**4/12 + h**3/6 + 5*h**2. Let j(q) = -3*q**2 + 12*q + 4 + 3 - 4 - 7*q. What is 3*j(n) - 8*l(n)?
-n**2 - n + 1
Suppose 4*q + 13 - 23 = -5*j, 4*q = -3*j + 14. Let m(k) = -2*k**2 + 2*k + 1. Let w(x) = x + 0*x - 3*x - 1 + 2*x**2. Give q*w(o) + 4*m(o).
2*o**2 - 2*o - 1
Let g(i) = -i**2 + i. Let t(n) = -8*n**3 - 3*n**2 + 4*n. Calculate 4*g(p) - t(p).
8*p**3 - p**2
Let c(x) = 3*x**3 + 5*x**2 + 5*x + 11. Let b(i) = 2*i**3 + 3*i**2 + 3*i + 5. Give -5*b(w) + 3*c(w).
-w**3 + 8
Let s(c) = 4*c**2 + 4*c**2 - 3*c**2 - 8 + 2. Let i(w) = -9*w**2 + 11. What is -4*i(t) - 7*s(t)?
t**2 - 2
Let u(i) = -6*i**3 + 4 + 4*i - 3*i + 2*i. Let b be (-1)/4 - 18/(-72) - -3. Let w(l) = 5*l**3 - 2*l - 3. Give b*u(p) + 4*w(p).
2*p**3 + p
Let h(k) = 18*k + 2. Let i(o) = -18*o - 2. Give -4*h(d) - 5*i(d).
18*d + 2
Let m(v) = 4. Let i(c) = -3. Let g(u) = 5*i(u) + 4*m(u). Let z(f) = -f - 6. Let j = 1 - 0. Calculate j*z(q) + 6*g(q).
-q
Let b be 44*(-2 + 45/20). Let x(u) be the second derivative of 2*u**4/3 - 4*u**3/3 - u**2/2 - u. Let k(r) = -15*r**2 + 15*r + 2. Calculate b*x(g) + 6*k(g).
-2*g**2 + 2*g + 1
Let w be (-6)/(-3)*(-2)/(-4). Let x(g) = -1. Let c(b) = -2*b**2 + 10. Suppose 0 = 4*r - k - 42, 0 = -r - 0*k + 5*k + 20. Calculate r*x(u) + w*c(u).
-2*u**2
Let k(d) = 4*d**2 - 5*d + 5. Let v(q) = -q**2 + 6*q + 2. Let t be v(6). Let x(p) = -2*p**t + 0*p - 2*p + 5*p**2 + 2 - p**2. Determine -2*k(c) + 5*x(c).
2*c**2
Let l(o) = -o + 10. Let x(k) = -1. Calculate 4*l(j) + 44*x(j).
-4*j - 4
Let n(y) = 2*y + 2. Let i = 43 - 48. Let p(j) = -3*j - 4. Determine i*n(h) - 3*p(h).
-h + 2
Let z(h) be the third derivative of h**5/20 - h**4/6 - h**3/2 + 5*h**2. Let j(p) = -p**2 + 2*p + 1. Determine -5*j(f) - 2*z(f).
-f**2 - 2*f + 1
Let t(f) be the third derivative of -f**6/24 - f**5/12 - f**4/4 + 5*f**3/6 - 6*f**2. Let d(n) = 4*n**3 + 4*n**2 + 5*n - 4. Determine -6*d(g) - 5*t(g).
g**3 + g**2 - 1
Let j(r) = -4*r - 4. Let q(u) = -1. Let w(d) = -j(d) + 2*q(d). Let l(k) = -11*k - 6. Determine 3*l(c) + 8*w(c).
-c - 2
Let t(r) = -7*r**2 - 10*r + 7. Let z(o) = -6*o**2 - 9*o + 6. Calculate -5*t(b) + 6*z(b).
-b**2 - 4*b + 1
Let j(v) = -v. Suppose -5*n = -5*g - 17 - 3, 4 = -n. Let k(p) = -4*p. Calculate g*j(t) + 3*k(t).
-4*t
Let o(q) = q + 4. Suppose 0 = 5*y - f + 17, -8*f - 19 = y - 3*f. Let r(l) = -l - 5. Calculate y*o(t) - 3*r(t).
-t - 1
Let o(m) = m**3 - 5*m**2 - 7*m + 3. Let l be o(6). Let s(r) = -r**3 + r. Let z(c) = 3*c + 4 - 4. Calculate l*s(u) + z(u).
3*u**3
Let i(b) = -8*b + 1. Let q(f) = -46 + 88 + 7*f - 43. What is -5*i(h) - 6*q(h)?
-2*h + 1
Let j(y) = -9*y + 2. Let z(p) = 1. Determine j(k) - 3*z(k).
-9*k - 1
Let m(r) = -161*r - 21. Let d(v) = 16*v + 2. What is -21*d(c) - 2*m(c)?
-14*c
Let t(m) = 10*m - 4. Let o(b) = -b - 1. What is 2*o(k) - t(k)?
-12*k + 2
Let t = 9 - 4. Let s be (-19)/t + (-8)/(-10). Let h(i) = i + 1. Let p(n) = -n**2 - n - 1. What is s*h(j) - 3*p(j)?
3*j**2
Let k(f) = f**3 + f**2 - f - 1. Let l(c) = 5*c**3 + 14*c**2 - 6*c - 8. What is -6*k(d) + l(d)?
-d**3 + 8*d**2 - 2
Let c(l) = -l - 1. Let s(v) = 3*v - 6. Calculate 6*c(h) - s(h).
-9*h
Let x(g) = 15*g**2 + 7*g - 11. Let c(l) = -7*l**2 + 6 + 21*l - 25*l - l**2. Determine 7*c(z) + 4*x(z).
4*z**2 - 2
Let y(k) = 6*k + 7. Let p(v) = -v - 1. Suppose 0 = -4*b - 0 - 4. Determine b*y(g) - 5*p(g).
-g - 2
Let l(x) = -x**3 - x**2 + x. Let h(a) = 2*a**3 + a**2 + 4*a + 5. Let t(j) = h(j) + l(j). Let g(k) = 4*k**3 + 24*k + 24. What is 5*g(q) - 24*t(q)?
-4*q**3
Let m(i) = -5*i**2 + 6*i + 9. Let t be 88/(-14) - 42/(-147). Let a(z) = 9*z**2 - 11*z - 17. Give t*a(w) - 11*m(w).
w**2 + 3
Let y = -25 + 20. Let g(m) = 2*m**2. Let d(v) = -3*v**2. Calculate y*g(h) - 4*d(h).
2*h**2
Let z(x) = -2 - 5*x**2 + 2*x**2 + 0*x**2 + 2*x**2 - 9*x. Let v(b) = 4*b + 1. Let j = -13 + 8. What is j*v(s) - 2*z(s)?
2*s**2 - 2*s - 1
Let l(c) be the second derivative of -c**5/20 - c**3/6 - c**2/2 + 2*c. Let x(i) = -5*i**3 - 6*i - 3. Determine -3*l(k) + x(k).
-2*k**3 - 3*k
Let k(p) = 4*p - 2. Let i(a) = 9*a - 4. Give 3*i(q) - 5*k(q).
7*q - 2
Let t(v) = -2*v - 4. Let l(c) be the first derivative of -2*c**2 - 9*c + 9. Determine -4*l(s) + 9*t(s).
-2*s
Let b(v) = -v**2 + 1. Let q(x) = x**3 - 5*x**2 + 2*x. Let i(w) = 2*b(w) - q(w). Let d(u) = u**3 - 2*u**2 + 2*u - 2. Give 3*d(n) + 2*i(n).
n**3 + 2*n - 2
Let y(g) = 3*g - 6. Let q(z) = 1. Determine -4*q(t) - y(t).
-3*t + 2
Let c(g) = 1. Let j(d) = -d**3 - d**2 + 4. Suppose 5*q - 9 = 1. Suppose -6 = z - 0*z - v, -q*z - 27 = -5*v. Determine z*j(l) + 6*c(l).
l**3 + l**2 + 2
Let d(i) = -11*i**2 - 13*i + 15. Let o(y) = 5*y**2 + 6*y - 7. Suppose 0 = 3*r - 5*r - 12. What is r*d(h) - 13*o(h)?
h**2 + 1
Let z = -52 + 51. Let k(o) = -1. Let j(x) = x - 1. Let b(n) = -n - 2. Let i be b(-5). Calculate i*k(p) + z*j(p).
-p - 2
Let v(b) = b**3 + 2*b**2 + 2*b - 1. Let z(g) = 6*g**3 + 11*g**2 + 11*g - 4. Suppose 6 = 8*y - 10. Calculate y*z(i) - 11*v(i).
i**3 + 3
Let h(p) = -4*p**2 - 5*p - 2. Let r = 10 + -5. Let i = -9 + r. Let x be ((-2)/i)/((-1)/14). Let c(l) = -2*l**2 - 2*l - 1. What is x*c(n) + 3*h(n)?
2*n**2 - n + 1
Let t be ((0 - -4) + 1)*1. Let j(m) = -11*m**2 + 6*m + 6. Let x(a) = 7*a**2 - 4*a - 4. Calculate t*j(c) + 8*x(c).
c**2 - 2*c - 2
Suppose b = -b + 4. Let q(r) = -3*r + 1. Let v(k) = 4 + 0*k + 7*k - 7. What is b*v(d) + 5*q(d)?
-d - 1
Let r be (-9 - (-207)/18)/((-2)/4). Let u(b) = 4*b**3 - b**2 + 6*b - 6. Let z(y) = 3*y**3 - y**2 + 5*y - 5. What is r*u(c) + 6*z(c)?
-2*c**3 - c**2
Let l(r) = -6 - 5*r**2 + 3*r + 2*r - 1 + r. Let i(j) = -6*j**2 + 7*j - 8. Calculate 6*i(n) - 7*l(n).
-n**2 + 1
Let g(p) = -4*p + 3 + 3*p + 3*p. Let l = -6 + 7. Let d be (l/2*-2)/(-1). Let w(x) = -1. Determine d*g(i) + 2*w(i).
2*i + 1
Let t(x) = -7*x**2 - 2. Let y(p) = 13*p**2 + 4. Let c = 0 - 6. Let i(f) = -9*f - 47. Let k be i(-4). What is c*y(b) + k*t(b)?
-b**2 - 2
Let w(k) = -2*k + 36. Let m(v) = -2*v + 36. Give -3*m(t) + 4*w(t).
-2*t + 36
Let i(s) = -40*s**2 + 5*s. Let c(u) = -81*u**2 + 9*u. Determine -5*c(m) + 9*i(m).
45*m**2
Let t(r) = r + 1. Let l(q) = -7*q - 4. Let u(y) = -y**2 + 6*y - 10. Let x be u(5). Determine x*t(v) - l(v).
2*v - 1
Let r(j) = 2*j**2 + 5*j. Let v(h) be the third derivative of 1/6*h**4 + 0 + 0*h**3 + 3*h**2 + 0*h + 1/30*h**5. What is -3*r(i) + 4*v(i)?
2*i**2 + i
Let b(f) = -4*f**3 - 7*f - 5. Let v(x) = -2*x**2 - 4*x - 3. Let k be v(-2). Let o(s) = -4*s + 9 - 9 - 2 - 2*s**3 + s. Determine k*b(n) + 7*o(n).
-2*n**3 + 1
Let j(a) = 14*a - 3. Let o(q) = -5*q + 1. Let s(x) = 4*j(x) + 11*o(x). Let i(n) = 2*n - 2. Calculate i(z) - 4*s(z).
-2*z + 2
Suppose -1 + 49 = -6*v. Let q(l) = l**3 - l**2 - 3*l. Let b(t) = 3*t**3 - 4*t**2 - 8*t. Calculate v*q(y) + 3*b(y).
y**3 - 4*y**2
Let s(o) = -17*o**2 + 9*o + 5. Let i(p) = p**2 - p - 1. Let r(q) = 3*q**2 - q. Let c(g) = -i(g) - r(g). Calculate 9*c(l) - 2*s(l).
-2*l**2 - 1
Let o(v) = -2*v - 3. Suppose -i + 5*i = 0. Let x(z) = 5 + i - 4. Suppose 3*b - 3*u - 3 = 0, -b + 2*u - 4 + 2 = 0. What is b*x(h) + o(h)?
-2*h + 1
Let n(j) = -7*j**2 + 4*j + 5. Let p be -1 + 2 + (1 - 0 - -2). Let b(o) = -o**2 + o + 1. Calculate p*b(z) - n(z).
3*z**2 - 1
Suppose 2*z - 3 = 11. Let h(q) = -q**2 - 7. Let w(n) = n**2 + 4. Determine z*w(f) + 4*h(f).
3*f**2
Suppose d - 2*z = 24, 106 = 4*d - 0*z + 2