(a).
a**3
Suppose -4*a + v + 6 = -0*a, -5*a + 2*v = -6. Let h(b) = 8 - 6 + b + a - 3. Let o(f) = 2*f + 3. Determine 3*h(x) - o(x).
x
Let s(z) = -7*z**2. Let x(l) = -1. Calculate s(w) - 5*x(w).
-7*w**2 + 5
Let k(l) = -5*l**2 - 4*l. Let u = 12 + -3. Let o(t) = u*t**2 - 14*t**2 - t + 4*t**2. Suppose 2 = -b - 2. Calculate b*o(h) + k(h).
-h**2
Let z(y) = -y**2 - 3*y + 1. Let s(v) = -27*v**2 - 2*v - 23. What is -s(x) + z(x)?
26*x**2 - x + 24
Let p(h) be the second derivative of -h**3/6 - 4*h. Suppose -r + y = -3, -r - 2 = 9*y - 5*y. Let t(z) = 3*z. Calculate r*p(b) + t(b).
b
Let j(h) = -9*h + 13. Suppose -13*s + 30 = -8*s. Let m(r) = -17*r + 24. Let o(k) = s*m(k) - 11*j(k). Let a(y) = -6*y + 3. Calculate 2*a(n) - 5*o(n).
3*n + 1
Let j(g) be the third derivative of -g**3/6 - 4*g**2 - 2. Let v(y) = -10*y - 1. Give j(w) - v(w).
10*w
Let i(u) = 11*u**3 - 262*u**2 + 17*u + 31. Let g(k) = -4*k**3 + 88*k**2 - 6*k - 11. Calculate -17*g(p) - 6*i(p).
2*p**3 + 76*p**2 + 1
Let u(y) = -4*y**3 + y**2 - 5*y. Let l be 3*(-2)/3*(-33)/(-22). Let o(m) = 7*m**3 - m**2 + 9*m. Let k(j) = -5*j**2 - j + 1. Let n be k(1). Give l*o(d) + n*u(d).
-d**3 - 2*d**2 - 2*d
Let t(d) = 2*d**3 - 4*d**2. Let a(y) = 19*y**3 - 33*y**2 - 2. Let o(b) = 249*b**3 - 429*b**2 - 27. Let i(f) = -27*a(f) + 2*o(f). Determine 4*i(h) + 33*t(h).
6*h**3
Suppose p - 1 = 2*f, -3*p + 0*p - 4*f = -33. Let o(a) = a - 7. Let d(i) = i - 14. Let g(h) = -4*d(h) + 9*o(h). Let b(t) = 5*t - 6. Determine p*b(k) - 6*g(k).
5*k
Suppose 5*t = 8 + 22. Let v(m) = -2*m**2 - 9*m - 11. Let n(j) be the second derivative of j**4/12 + 5*j**3/6 + 3*j**2 + 92*j. Give t*v(u) + 11*n(u).
-u**2 + u
Let f(s) = 2*s + 7. Let j be (2 + 3)/(0 - 1). Let z(y) = 3 + 7 + 1 + 3*y. Let h be (18/(-15))/(6/(-40)). Calculate h*f(b) + j*z(b).
b + 1
Let s(p) = 1. Let m(y) = 12*y**2 + 2*y + 10. Give m(d) - 10*s(d).
12*d**2 + 2*d
Suppose 0 = 11*y - 13*y + 8. Let g(b) = 2*b**3 - 3*b**2 - 1. Let u(t) = -4*t**3 + 7*t**2 + 1. What is y*u(r) + 9*g(r)?
2*r**3 + r**2 - 5
Suppose b = -3*m - 11, -2*m + 6*m = -4*b - 4. Let t(x) = 2*x + 3. Let g(q) = 15*q + 11. Let d(a) = 2*a + 1. Let o(u) = 6*d(u) - g(u). What is m*o(y) - 8*t(y)?
-y + 1
Let x(k) = -7*k**3 + 12*k**2 - 11*k. Suppose -187 = 29*v + 132. Let f(z) = 4*z**3 - 6*z**2 + 6*z. What is v*f(u) - 6*x(u)?
-2*u**3 - 6*u**2
Let i(m) = m + 1. Let z be (94/9)/2 - (-30)/(-135). Let k(o) = -6*o - 8. Determine z*k(h) + 40*i(h).
10*h
Let l(v) = 4*v + 3. Let g(o) = 11 - 5*o - 3 - 11. Give -2*g(a) - 3*l(a).
-2*a - 3
Let o(j) be the first derivative of j**2 - 3*j - 2. Let t(m) = -m**2 - 1. Suppose 0*b + 4 = -2*b, -b - 20 = -3*a. Let y = a - 7. What is y*o(p) + 2*t(p)?
-2*p**2 - 2*p + 1
Let v(r) = -r**2 - r + 2. Let p be v(2). Let o(t) = 17*t + 1. Let n(u) = -7*u - 1. Let l(k) = 5*n(k) + 2*o(k). Let i(w) = -w - 4. Calculate p*i(d) + 5*l(d).
-d + 1
Let p(u) = 19*u**2. Let o be (51 - 0)/(16 - 8 - 9). Let g(c) = -476*c**2. What is o*p(d) - 2*g(d)?
-17*d**2
Let v(r) = 4*r**3 + 4*r + 9. Let j(l) = -2*l**3 - 2*l - 4. Determine -9*j(t) - 4*v(t).
2*t**3 + 2*t
Let i(n) = 7*n**2 + 12*n + 3. Let s(v) = -4*v**2 - 7*v - 2. Let g(t) = -3*i(t) - 5*s(t). Let o(c) = 11*c**2 + 6*c - 5. What is 5*g(b) + o(b)?
6*b**2 + b
Let q(o) = o**2 - 4*o - 8. Let u be q(5). Let d(t) = 6*t + 2. Let h(x) = -11*x - 4. Let m = 22 - 27. What is m*d(l) + u*h(l)?
3*l + 2
Let g = -558 - -545. Let a(j) = -2*j + 2*j + 8*j. Let d(u) = 17*u. What is g*a(b) + 6*d(b)?
-2*b
Let n(a) = -a**2 - 1. Let h be (-4)/(-14) - -3*(-10)/(-42). Let v(z) = -z + 1. Let k(w) = 4*w**2 + 2*w. Let m(u) = -k(u) - v(u). What is h*m(d) - 3*n(d)?
-d**2 - d + 2
Let c(i) = -3*i + 1. Let x(n) = 317*n + 6. Give 4*c(o) - x(o).
-329*o - 2
Let x(z) be the third derivative of -z**4/24 - z**2. Let r = 3 - 5. Let p(c) = -7 - c + 6 + 3. Calculate r*x(j) + p(j).
j + 2
Let z(r) = -6*r**3 + 10*r**2 + 6*r + 3. Let c(h) = -16*h**3 + 30*h**2 + 16*h + 9. Determine 4*c(o) - 11*z(o).
2*o**3 + 10*o**2 - 2*o + 3
Suppose -3*x + 6 = -x. Let u be -1 - (3 - 1) - x. Let r = u + 10. Let w(b) = -10*b + 4. Let c(t) = 3*t - 1. What is r*w(g) + 14*c(g)?
2*g + 2
Let f(z) = -21*z**2 + 9*z + 11. Let b(c) = 11*c**2 - 5*c - 6. Let m = 601 + -608. Determine m*b(d) - 4*f(d).
7*d**2 - d - 2
Let m(a) = -5*a**2 - 12*a + 8. Let t(q) = 6*q**2 + 12*q - 10. What is -5*m(x) - 4*t(x)?
x**2 + 12*x
Let k(w) = -3. Let t(b) = 4. Let h(f) = 3*k(f) + 2*t(f). Let a(x) = -x + 1. Let r be a(7). Let u(c) = -c + 3. What is r*h(z) - 2*u(z)?
2*z
Let l(w) = -3*w**3 + w**2 + w - 2. Let x(q) = 7*q**3 - 3*q**2 - 2*q + 5. Let z be (-49)/(-14)*-1*(-10)/7. Calculate z*l(i) + 2*x(i).
-i**3 - i**2 + i
Let r(c) = 13*c + 963. Let d(m) = -7*m - 482. What is -11*d(q) - 6*r(q)?
-q - 476
Let i(u) = 12*u**2 + 3*u + 5. Let v(y) be the third derivative of -y**5/5 - y**4/6 - y**3 + 53*y**2. What is -6*i(m) - 5*v(m)?
-12*m**2 + 2*m
Let n(m) = -m**3 + m**2 - m. Let d(y) be the second derivative of 0 + 0*y**3 + 1/12*y**4 + 0*y**2 - 24*y + 3/20*y**5. Calculate -d(z) + n(z).
-4*z**3 - z
Let w(t) = -6*t**2 - 14*t + 4. Let v(c) = c**2 - 1. Determine 5*v(r) + w(r).
-r**2 - 14*r - 1
Let c(v) = -15*v**3 - 5*v**2 + 6. Let z(x) = 14*x**3 + 6*x**2 - 8. Determine 5*c(t) + 4*z(t).
-19*t**3 - t**2 - 2
Let k be 16/(-5) + (-4)/5. Let n(s) = 3*s**2 + 4*s + 10. Let b(o) = o**2 + o + 3. Give k*n(t) + 14*b(t).
2*t**2 - 2*t + 2
Let d(v) = v**3 - v**2 - v - 1. Suppose -2*i = p + 1, -4*i - 11 = 2*p + 3*p. Let l(h) = -4*h**3 + 2*h**2 + 2*h + 9. Calculate i*l(q) + 2*d(q).
-2*q**3 + 7
Let a(i) = -7*i + 4. Let y(f) = 15*f - 9. Let l(x) = 2*x**2 + 48*x - 43. Let d be l(-25). Suppose -5*k = -3 - 12. Determine d*a(t) + k*y(t).
-4*t + 1
Let j(m) = m**2 - 2*m + 1. Let i(w) = -35*w**3 + 40*w**2 - 80*w + 40. Calculate 5*i(d) - 200*j(d).
-175*d**3
Let x(h) = h + 1. Suppose -d = -3*s - 101, 5*d - 142 = 3*s + s. Let z = s - -32. Let m(v) = -4*v - 4. Let k be (-10)/2*6/5. Determine k*x(r) + z*m(r).
-2*r - 2
Suppose 2*l - 9*l - 35 = 0. Suppose -i + 6 = -4*i. Let z(h) = h + 3. Let t(s) = -1. Calculate i*z(x) + l*t(x).
-2*x - 1
Let z(j) = -265*j + 5. Let d(l) = -526*l + 9. Determine 3*d(x) - 5*z(x).
-253*x + 2
Let n(t) = 6*t**2 + 4*t + 5. Let z(h) = h**3 + h - 1. Let u be z(-3). Let k = -36 - u. Let a(s) = -s**2 - s - 1. Determine k*a(m) - n(m).
-m**2 + m
Let j(u) = -276275*u. Let o(i) = 496*i. Calculate 6*j(c) + 3341*o(c).
-514*c
Let z(d) be the third derivative of d**6/20 - 18*d**2. Let p be (-2)/(-6) + 16/6. Let u(k) = 3*k**p - 7*k**3 - 3*k**3. Give 5*u(n) + 6*z(n).
n**3
Suppose -67*x - 22 = -69*x. Let d(y) be the first derivative of 0*y + x - 3/2*y**2. Let w(m) = 5*m. What is -11*d(n) - 6*w(n)?
3*n
Let s(r) = -8*r**2 - 23*r - 58. Let n(j) = j**2 + 4*j. Give 6*n(l) + s(l).
-2*l**2 + l - 58
Let y(j) = -4*j**2 - 2*j - 5. Let c(f) = -5*f**2 - 2*f - 6. Let g be 3 + 1925/(-45) - (-2)/(-9). Let v = g + 35. Calculate v*c(s) + 6*y(s).
s**2 - 2*s
Let z(b) = -b**3 + b + 1. Let a(x) = 70*x**3 + x + 3. What is a(g) - z(g)?
71*g**3 + 2
Let l(t) = -6*t - 7. Suppose -12*v - v = 65. Let j(h) = -7*h - 8. Give v*j(p) + 6*l(p).
-p - 2
Suppose y + 2 = -16. Suppose 10*o + 16 = 136. Let z = y + o. Let p(a) = -2*a**2 - 6*a. Let k(t) = t. Calculate z*k(g) - p(g).
2*g**2
Let m(w) = -175*w**2 - 75*w + 25. Let c(d) = 3*d - 1. Determine -50*c(j) - 2*m(j).
350*j**2
Let h(q) = q**2. Let w(o) = 6*o**3 + 10*o**2. Let k be (-21)/9 + (-13)/(-39). What is k*w(a) + 20*h(a)?
-12*a**3
Let n(j) = 0*j**2 - 3*j**2 + 2*j**2. Let d(t) = -6*t**2 - t + 2. What is -d(l) + 3*n(l)?
3*l**2 + l - 2
Let k(c) = 3*c**2 + c - 3. Suppose -15*y - 3 = -18*y. Let m(x) = x**3 - x**2 - x + 1. Calculate y*m(a) + k(a).
a**3 + 2*a**2 - 2
Let v(t) = 7*t**2 + 15*t + 11. Let n(s) = -4*s**2 - 8*s - 6. Let m = 199 - 210. Determine m*n(w) - 6*v(w).
2*w**2 - 2*w
Suppose 0 = 5*f + 5*n, -f - 3*n + 2 = f. Suppose -16 = 3*i + i. Let x = -3 - i. Let l(p) = 4. Let w(g) = g**2 + 1. Determine f*w(m) + x*l(m).
-2*m**2 + 2
Let w(r) = 267*r**2 - 4*r. Let i(t) = 1333*t**2 - 21*t - 1. What is -2*i(v) + 11*w(v)?
271*v**2 - 2*v + 2
Let x(r) = 7*r**3 + 2*r**2 - 6*r - 7. Let p(o) = -o**3 + o. What is -6*p(a) - x(a)?
-a**3 - 2*a**2 + 7
Let u(k) = -24*k**3 - 8*k**2 - 31*k - 11. Let v(b) = -16*b**3 - 5*b**2 - 20*b - 7. Calculate 5*u(g) - 8*v(g).
8*g**3 + 5*g + 1
Let o = 30 + -20. Let n = 