 - o(z).
2*z - 1
Let q = 12 + -5. Suppose 4*j = -o, 5*j = q*j. Suppose 8*u - 16 + 56 = o. Let w(c) = 5*c**3 + 5*c + 1. Let p(z) = 9*z**3 + 9*z + 1. Determine u*w(v) + 3*p(v).
2*v**3 + 2*v - 2
Let g(v) be the third derivative of v**5/60 - v**4/12 + v**3 - 98*v**2. Let h(o) = 4*o**2 - 9*o + 24. Determine -9*g(w) + 2*h(w).
-w**2 - 6
Let d(b) = 3*b - 4. Suppose -1 = 3*n + 2. Let q = -6 + 2. Let w(m) = 4*m + 6. Let g(z) = -3*z - 5. Let r(f) = q*w(f) - 5*g(f). What is n*d(k) - 4*r(k)?
k
Let m(z) = 77*z - 6. Let y(t) = 51*t - 4. What is 5*m(o) - 8*y(o)?
-23*o + 2
Let q(h) be the third derivative of -h**5/60 + h**4/24 + h**3/6 + 3*h**2 - 34. Let m(g) = -2*g**2. What is -m(l) - 2*q(l)?
4*l**2 - 2*l - 2
Let x(y) = 5*y. Let c(h) = -2*h - 3*h**2 - 15 + 14 - 4*h**2. Let g be c(-1). Let m(n) = 11*n. What is g*m(b) + 13*x(b)?
-b
Let d(l) = 188*l + 3. Let g(a) = -753*a - 13. Give -9*d(z) - 2*g(z).
-186*z - 1
Let j(q) = q**2 - q + 1. Let m(t) = 158*t**2 - 2*t + 2. Calculate 2*j(h) - m(h).
-156*h**2
Let i(j) = 19*j**3 + 11*j**2 + 11*j - 66. Let q(o) = -7*o**3 - 4*o**2 - 4*o + 23. Calculate -4*i(z) - 11*q(z).
z**3 + 11
Let q be (-55)/33*-3*2. Let d = q + -29. Let l = -14 - d. Let t(s) = 9*s**3 + s**2 + 5*s + 1. Let u(w) = 5*w**3 + w**2 + 3*w + 1. What is l*u(j) - 3*t(j)?
-2*j**3 + 2*j**2 + 2
Let b(c) = 10*c**2 - c + 3. Let v(t) = -13*t**2 + t - 4. Let x(s) = 4*b(s) + 3*v(s). Let y(u) = 3*u**3 - 2*u**2 + 2*u + 1. What is -2*x(p) - y(p)?
-3*p**3 - 1
Let l(o) = -6. Let i(v) = -2. Let f(m) = -4*i(m) + l(m). Let d(x) = -4*x - 1. Let p be d(1). Let u = p - -14. Let s(c) = c - 9. Calculate u*f(b) + 2*s(b).
2*b
Let b(c) = 9*c - 2. Let s = 81 + -83. Let z(v) = -539*v + 121. Determine s*z(a) - 121*b(a).
-11*a
Let f(b) be the first derivative of b**4/4 - 2*b**2 + b + 1. Let c(a) be the first derivative of a**4/4 - 9*a**2/2 + 2*a - 1821. What is -4*c(z) + 9*f(z)?
5*z**3 + 1
Let s be (660/(-48) - -13)*(9 - 1). Let r(h) = -15*h - 6. Let g(n) = 8*n + 3. Calculate s*r(i) - 11*g(i).
2*i + 3
Let n(b) = 598*b - 161. Let u(a) = a + 7. Determine -n(z) - 23*u(z).
-621*z
Let p(j) = j - 3. Suppose -3*s - 117 = -6*s + 3*b, 4*s - 154 = 2*b. Let f(l) = 19 + 23 - l - s. What is 2*f(g) + 3*p(g)?
g - 1
Let a(w) = 9*w**3 - 11*w**2 + 109*w + 16. Let r(x) = -2*x**3 + 2*x**2 - 22*x - 3. What is 2*a(p) + 11*r(p)?
-4*p**3 - 24*p - 1
Let l(k) = k + 1. Let x(b) be the third derivative of -b**5/30 + b**4/4 + 4*b**3/3 + 3*b**2. Let o be 8*2/12*99/22. Give o*l(q) - x(q).
2*q**2 - 2
Let q(y) = -11*y**2 + 1. Let t(m) = 32*m**2 - m - 4. What is -7*q(i) - 2*t(i)?
13*i**2 + 2*i + 1
Let b(x) = 17*x**3. Let h(l) = -l**3. What is -5*b(c) - 30*h(c)?
-55*c**3
Let w(c) = -4*c + 4. Let b(y) = -40 + 9 + 5*y + 28. Give 4*b(i) + 3*w(i).
8*i
Let i(q) be the first derivative of -q**3/3 - q**2 + 5*q + 18. Let j(x) = -2*x**2 - 6*x + 16. What is -16*i(w) + 5*j(w)?
6*w**2 + 2*w
Let l(i) = i + 2. Let c(x) = -39*x**2 + 21*x + 42. Determine -5*c(y) + 105*l(y).
195*y**2
Let h(z) = 10*z**2 + 11*z - 10. Let j(w) = -8*w**2 - 12*w + 10. Determine -5*h(t) - 6*j(t).
-2*t**2 + 17*t - 10
Let h(a) = -a**3 - a**2 + a - 1. Let n(w) = 11*w**2 - 11*w + 11. Suppose -3*t - 2*t + 22 = 3*z, -2*z - 7 = -t. Give z*n(i) - 11*h(i).
11*i**3
Let j(w) = 37*w**3 + 6*w - 1. Let s(c) = 2*c**3 + 2*c - 1. Calculate 2*j(y) - 6*s(y).
62*y**3 + 4
Let p(n) = -5*n**2 + n. Let l be (22 - 21)*2/(2*-1). Let j = 4 - l. Let s(h) = 9*h**2 - 2*h. What is j*p(f) + 3*s(f)?
2*f**2 - f
Let y(o) = 28*o - 8. Let x(s) = 27*s - 7. Determine -5*x(c) + 4*y(c).
-23*c + 3
Let r(l) = 7*l**2 - 6*l + 6. Let o(q) = -q**2 - q + 1. Let j(u) = u**3 - 4*u**2 + 6*u - 23. Let d be j(4). Calculate d*r(b) - 6*o(b).
13*b**2
Let y(u) = -20*u - 8. Let n(k) = 21*k + 6. Determine -3*n(s) - 2*y(s).
-23*s - 2
Suppose -4*v - 59 = -63. Let w(t) = -1. Suppose -5*o + o + 8 = 0. Let b(m) = m + 2. Calculate o*w(s) + v*b(s).
s
Let m(w) = 7*w + 5. Let z(n) = -n**2 - 9*n - 25. Let j be z(-5). Let g(t) = 18*t + 12. Calculate j*g(y) + 12*m(y).
-6*y
Let c(u) = -10 - 2 + 10 - 3*u. Let v(b) = -2*b - 5. Let r(f) = -3*f - 7. Let n(y) = -5*r(y) + 7*v(y). Determine -c(j) - 2*n(j).
j + 2
Suppose -26*y + 9*y = -119. Let g(v) = -4*v + 2. Let n(u) = 9*u - 4. Give y*g(t) + 3*n(t).
-t + 2
Let u(h) = 38*h + 5. Let m(d) = -19*d - 2. Give 5*m(v) + 3*u(v).
19*v + 5
Let r(y) = y**3 + 1. Let l = 8 - 6. Let k be (2 - -3)/1 + 3. Suppose l*i = -2*o, 5*i - k + 3 = 0. Let j(f) = 3*f**3 - 2*f**2 + 2. Calculate o*j(c) + 4*r(c).
c**3 + 2*c**2 + 2
Suppose 0 = -11*d + 74*d + 189. Let t(x) = -3*x**2 + 4*x**2 - 4 + 3*x + 1. Let g(m) = -2*m**2 - 4*m + 4. Give d*g(w) - 4*t(w).
2*w**2
Let c(h) = 10*h**2 + 2*h + 24. Let p(b) = -2*b**2 - b - 1. Give c(z) + 4*p(z).
2*z**2 - 2*z + 20
Let f(n) = 8*n**2 + 3*n - 4. Let b(i) = -8*i**2 - 4*i + 5. Determine -2*b(c) - 3*f(c).
-8*c**2 - c + 2
Let m(i) = -5*i**2 - 14*i - 7. Let z(r) = -4*r**2 - 12*r - 7. Give -5*m(k) + 6*z(k).
k**2 - 2*k - 7
Let k(h) = -166*h**2 + 338*h**2 - 162*h**2 - 2*h**3 + 0*h**3. Let o(a) = -a**3 + 9*a**2. Determine -2*k(c) + 3*o(c).
c**3 + 7*c**2
Let v(l) = -4*l**2 + l - 4. Let g(m) = -m**3 + 5*m**2 - 2*m + 5. Let y(k) = 4*g(k) + 5*v(k). Let j(d) = -9*d**3 - 5*d. Give 3*j(h) - 5*y(h).
-7*h**3
Let d be 4/(-6) - (-44)/12. Let o(y) = 6*y + 5*y + 4 - d*y. Let n(g) = -g - 1. What is -6*n(k) - o(k)?
-2*k + 2
Let i(f) = -f. Suppose 2*u - 4*c - 34 = 0, -4*u - 4*c + 59 = -9*c. Suppose u*t = 101 - 35. Let j(r) = r**2 + 7*r - 2. Give t*i(x) + j(x).
x**2 + x - 2
Let b(o) = -o + 4. Let r(y) = -16*y - 1 + 11*y + y + 5*y. Give 3*b(l) + 12*r(l).
9*l
Let a(q) = q**2 + 2*q + 6. Suppose -5*p + 8*p = -3. Let h(v) = -1. Determine p*a(b) - 6*h(b).
-b**2 - 2*b
Let j(m) = 2*m**2 + 2*m - 2. Let a(f) = -f**2 - f + 1. Suppose -3*t + 8 = -1. Let d be 2 - -5 - 12/t. Give d*a(u) + j(u).
-u**2 - u + 1
Let v(w) = w - 4. Let n(y) = 2*y - 33. Let c be n(14). Let x(r) = -2*r + 5 - 6 + 0 + 10. Calculate c*v(h) - 2*x(h).
-h + 2
Let m be -24 + -4 - -4*9/12. Let c(x) = 0*x**2 - 4*x**2 - 3*x - 3 + 2*x**2. Let p(d) = 15*d**2 + 25*d + 25. What is m*c(u) - 3*p(u)?
5*u**2
Let d(x) = 7 + 27 + x - 40. Let i(q) = -q + 4. Suppose -4*p - 5*t + 3 = -16, 0 = -p + t - 2. Let c(a) = 1. Let m(y) = p*i(y) + 3*c(y). What is -7*d(b) - 6*m(b)?
-b
Let s(f) = 35*f**2 + 7*f - 7. Let o(p) = -18*p**2 - 4*p + 4. Let r = 532 - 525. Give r*o(h) + 4*s(h).
14*h**2
Let h(w) be the second derivative of -61*w**3/6 - 4*w**2 + 20*w + 5. Let k(x) = 41*x + 5. What is 5*h(j) + 8*k(j)?
23*j
Let n(g) = -4*g**2 - 11*g + 1. Let a(z) = -4*z**2 - 9*z + 1. Let x(l) = 6*a(l) - 5*n(l). Let u(h) = -5*h**2 + 2*h + 2. Calculate -3*u(o) + 4*x(o).
-o**2 - 2*o - 2
Let u(k) = k**3 + 1. Let l(o) = 4*o**3 + 57. Determine -l(h) + 3*u(h).
-h**3 - 54
Let h(c) be the third derivative of c**6/120 - c**5/15 + c**4/6 + 411*c**2. Let p(m) = 3*m**3 - 7*m**2 + 9*m. Determine -7*h(s) + 3*p(s).
2*s**3 + 7*s**2 - s
Let p(w) = -4*w - 2. Let u(k) = k**3 + k**2 + k + 1. Let t be u(-2). Let q(y) = 9*y + 5. Let m(d) = 11*d + 6. Let x(z) = 5*m(z) - 6*q(z). What is t*x(b) - p(b)?
-b + 2
Let z(a) = -3*a + 105. Let n(f) = f - 36. Calculate -17*n(r) - 6*z(r).
r - 18
Let a(r) = -7*r**3. Let k(i) = 5*i**3 + 4*i**2 + 4*i - 2. Let m(y) = -14*y**3 - 14*y**2 - 14*y + 7. Let t(f) = -14*k(f) - 4*m(f). Give 7*a(h) - 3*t(h).
-7*h**3
Let d(z) = 5*z**2 + 6*z - 6. Let g(y) = -53*y**2 - 63*y**2 - 7 + 122*y**2 + 7*y. Determine -7*d(c) + 6*g(c).
c**2
Let y = -465 + 470. Let j(r) = r + 1. Let l(k) = 6*k + 7. Determine y*j(d) - l(d).
-d - 2
Let w(y) = -4*y**3 - 6*y**2 - 7*y - 13. Let f(k) = -13 + 11*k - 37*k - 5*k**3 + 50*k**2 + 18*k - 57*k**2. What is -6*f(o) + 7*w(o)?
2*o**3 - o - 13
Let l(j) = 17*j + 8. Suppose 0 = -6*v - 40 - 26. Let d(h) = 6*h + 3. What is v*d(q) + 4*l(q)?
2*q - 1
Let t(m) = 2*m**3 - 5*m**2 - 10*m + 1. Let h(s) = 10*s**3 - 20*s**2 - 42*s + 4. What is -2*h(x) + 9*t(x)?
-2*x**3 - 5*x**2 - 6*x + 1
Let h(z) = z**2 - 1. Let a(g) be the first derivative of -g**4/4 + g**3 - 3*g + 188. Determine -2*a(o) + 6*h(o).
2*o**3
Let o(k) = -4*k - 4. Let f(y) = -y - 7. Let p be f(-5). Let j(c) = 7*c + 7. Let z be j(p). Let q(b) = -13*b - 13. Calculate z*o(n) + 2*q(n).
2*n + 2
Let j(f) = -6*f**3 + 7*f - 49. Let k(y) = -13*y**3 + 16*y - 98. What is -7*j(s) + 3*k(s)?
3*s**3 - s + 49
Let b(i) = -90*i**3 + 3*