q).
-6*q**3 + q**2 + 4*q
Let s(j) = 2332*j**2 + 27984*j. Let y(a) = -12*a. Calculate -3*s(o) - 6996*y(o).
-6996*o**2
Let y(r) = -1. Let w(h) = h**3 - h**2 - 8*h + 4. Let c be w(3). Suppose 46*m + 24 = 70. Let t(p) = -p + 1. Give c*y(v) + m*t(v).
-v + 3
Let x(j) = -747*j**2 - j + 15. Let c(q) = -745*q**2 - q + 12. Give -4*c(w) + 3*x(w).
739*w**2 + w - 3
Let o(y) = 7*y**2 + 50*y + 25. Let l(r) = 2*r**2 + 10*r + 5. Give 11*l(g) - 2*o(g).
8*g**2 + 10*g + 5
Let b(d) = -893*d**3 - 5*d**2 - 10*d. Let u(v) = 1116250*v**3 + 6251*v**2 + 12502*v. What is 6251*b(q) + 5*u(q)?
-893*q**3
Let i(m) = m**3 + m**2 + m - 1. Let r(a) = a**2 - 7*a - 43. Let z be r(11). Let y(l) = 25*l**3 + 3*l**2 + 3*l - 3. Give z*y(p) - 3*i(p).
22*p**3
Let f(h) = -3*h**3 + 4*h**2 - 4*h - 33. Let y(p) = -p**3 + p**2 - p - 8. Calculate -f(r) + 4*y(r).
-r**3 + 1
Let w(c) = -14*c**3 + 35. Let g(r) = 42 + r**3 - 132 + 43 + 46. What is 35*g(o) + w(o)?
21*o**3
Let x(m) = -m**3 - 2*m**2 + 997. Let v(u) = -u**3 - u**2 - 3. Determine 2*v(p) - x(p).
-p**3 - 1003
Let w(u) = -u**3 - u**2 + 15*u - 4. Let r(b) = -b**3 - b**2 + 16*b - 5. Give 6*r(t) - 7*w(t).
t**3 + t**2 - 9*t - 2
Let m(f) = -58*f. Let q(z) = -z. Suppose -2*x + p + 6 = 0, 0 = 12*p - 8*p + 16. What is x*m(b) - 4*q(b)?
-54*b
Let b(i) = 3*i**3 - 6*i**2 + 41*i + 3. Let w(c) = -5*c**3 + 9*c**2 - 62*c - 5. Determine -8*b(n) - 5*w(n).
n**3 + 3*n**2 - 18*n + 1
Let t(z) = -15*z + 2. Let y(f) = 375*f - 128*f - 125*f - 121*f. Give t(o) + 6*y(o).
-9*o + 2
Let h(u) = -32*u - 330. Let j(n) = 425*n + 4290. What is 27*h(t) + 2*j(t)?
-14*t - 330
Let h(t) = 577*t + 4761. Let v be h(-8). Let q(f) = -29*f**2 + 6*f. Let c(z) = 696*z**2 - 145*z. What is v*q(g) + 6*c(g)?
-29*g**2
Let w(q) = -4*q + 1. Let h be 9 + (-253)/(-33) - (-1)/3. Suppose -h*l = -14*l + 18. Let d(s) = s. What is l*d(v) - 2*w(v)?
2*v - 2
Let r(t) = -2*t - 2. Let m(i) = i**2 + 6*i + 7. Let n be m(-1). Suppose n + 12 = 7*o. Let j(w) = -w - 2. Calculate o*r(f) - 3*j(f).
-f + 2
Let c(d) = 11*d - 4 - 7 + 5. Let x(s) be the second derivative of -2*s**3/3 + s**2 - 42380*s - 2. Give -6*c(z) - 17*x(z).
2*z + 2
Let s(r) = 224*r - 246. Let q(b) = 41*b - 49. Calculate -11*q(n) + 2*s(n).
-3*n + 47
Let q(d) = 121*d + 4. Let o(r) = 237*r + 9. Calculate 3*o(i) - 7*q(i).
-136*i - 1
Let o(k) be the first derivative of 3*k**2 + 4*k + 6287. Let d(q) = -q + 1. Calculate -10*d(u) + 2*o(u).
22*u - 2
Let q(i) = -i + 1. Let r(z) = 12*z - 10. Suppose 35*m = 117*m + 656. Calculate m*q(s) - r(s).
-4*s + 2
Suppose -5*w - 3*j + 26 = 0, -16*j + 38 = 3*w - 11*j. Let o(f) = -14*f**2 + 5*f - 1. Let g(m) = -m**2 + m - 1. Give w*o(d) - 3*g(d).
-11*d**2 + 2*d + 2
Let i(d) = 38*d**2 - 2*d + 12. Let s(w) = 6*w**2 - 42*w**2 + 10*w**2 + 25*w**2 - 1. Calculate i(l) + 12*s(l).
26*l**2 - 2*l
Let y(u) = -3519*u**2 + 53*u + 11. Let i(f) = -7038*f**2 + 93*f + 19. Calculate 4*i(n) - 7*y(n).
-3519*n**2 + n - 1
Let u(q) = -q**2. Let h(t) = t + 0*t - t**2 + 0*t**2. Let c(r) = 6*r**2 - 8*r - 2. Let s(d) = c(d) + 8*h(d). Let o = -30 - -26. Give o*u(j) + s(j).
2*j**2 - 2
Let b(x) = 36*x**2. Let j(i) = 2*i**2 - 7*i. Let f(w) = -47*w**2 + 35*w. Let d(m) = -f(m) - 5*j(m). What is 3*b(o) - 2*d(o)?
34*o**2
Let f(g) = 3*g**3 - 49*g**2 + 43*g + 2. Let u(y) = -2*y**3 + 33*y**2 - 30*y - 2. Calculate -5*f(w) - 7*u(w).
-w**3 + 14*w**2 - 5*w + 4
Let i(z) = z**2 - z. Suppose 0 = -3*u - 2 - 4. Suppose -4*b + 19 = 5*j, 4*j = 4*b - 0*b + 8. Let s(f) = 108*f + j*f**2 + 102*f - 214*f. Give u*s(v) + 9*i(v).
3*v**2 - v
Suppose -10*b = -4*d - 36, -2*d = -0*b + 4*b. Let t(l) = 5*l - 151. Let s(g) = g - 30. Calculate b*t(p) - 11*s(p).
-p + 28
Let h(p) = -7*p**3 - 7*p**2 + 3*p - 6. Let s = 237 + -234. Let a(t) = -275*t**3 - t - 4*t**2 + s*t**2 + 1 + 2*t**2 + 276*t**3. Give 6*a(q) + h(q).
-q**3 - q**2 - 3*q
Let f(w) = 10*w**3 + 4*w**2 - 4*w + 2. Suppose p = -2*d + 11, -39*p = -2*d - 44*p + 23. Let m(x) = -9*x**3 - 3*x**2 + 3*x - 1. Calculate d*m(a) + 3*f(a).
-6*a**3 + 2
Let t(w) = -5*w**3 - 6*w**2 + 10*w. Let j(s) = -s**3 + 118*s**2 + 491*s - 360. Let b be j(122). Let h(r) = -14*r**3 - 17*r**2 + 31*r. What is b*h(x) - 17*t(x)?
x**3 + 16*x
Let k(o) = -499*o**3 + 7*o**2 + 2. Let l(g) = 999*g**3 - 18*g**2 - 4. What is 5*k(p) + 2*l(p)?
-497*p**3 - p**2 + 2
Suppose 2*f + i - 41 = -35, -25 = -5*f - 5*i. Let y(r) = 5*r - 43. Let w(o) = o. Calculate f*y(l) - 3*w(l).
2*l - 43
Let r(w) = -14*w - 2. Let d(q) = 1424*q + 2. Give -d(u) - 2*r(u).
-1396*u + 2
Let s(a) = a**2 - 4*a + 2. Let w = -207 + 194. Let j(u) be the second derivative of u**4/6 - 3*u**3/2 + 2*u**2 + 4*u + 6. Give w*s(z) + 6*j(z).
-z**2 - 2*z - 2
Let j(r) = -77*r + 8. Let p(c) = -77*c + 6. What is 2*j(z) - 3*p(z)?
77*z - 2
Let c(r) = r**2 - 3*r - 8. Let b(l) = l**2 + 4*l - 573. Let v be b(-26). Let p(x) = -x. Determine v*c(s) + 4*p(s).
-s**2 - s + 8
Let h(w) = w - 2. Let k(v) = -2*v**2 + 23*v - 17. What is 5*h(n) - k(n)?
2*n**2 - 18*n + 7
Let d be ((-16)/(-5))/(29/145). Suppose -20 = -4*b - 4*q, 0 = -5*q + q + d. Let g(i) = 3*i - 5. Let x(r) = 1. Let f = 2 - -3. Determine b*g(y) + f*x(y).
3*y
Let h(u) = u**2 + 3*u + 2. Suppose -39*s - 2303 = -1484. Let d(b) = -4*b**2 - 8*b - 7. Calculate s*h(r) - 6*d(r).
3*r**2 - 15*r
Let t(x) = -3*x**3 + x**2 + 2*x. Let s(a) = 131*a**3 - 6*a**2 - 10*a. Calculate -s(q) - 5*t(q).
-116*q**3 + q**2
Let i(q) = -25*q - 1194. Let c(n) = 11*n + 595. Give -7*c(k) - 3*i(k).
-2*k - 583
Suppose 5*z = a - 54 + 30, -5*a = -3*z - 10. Let d(y) = 8*y**3 - 17*y**2 + 6*y + 6. Let n(w) = 7*w**3 - 16*w**2 + 5*w + 5. Determine z*d(t) + 6*n(t).
2*t**3 - 11*t**2
Suppose -12 = -4*c, 4*c - 3 = a + 8. Suppose -48 + 72 = -12*o. Let k(t) = 3 + 5*t**2 - 6*t**2 - 3. Let b(z) = -5*z**2 + 2*z. Determine a*b(i) + o*k(i).
-3*i**2 + 2*i
Let p(y) be the second derivative of 4*y**4/3 - y**3 - 18*y**2 - 59*y - 47. Let b(i) = -3*i**2 + i + 7. Determine 22*b(x) + 4*p(x).
-2*x**2 - 2*x + 10
Let n be (-12)/16 - ((-4235)/28)/11. Let d(y) = y - 5. Let u(r) = -r + 11. Suppose 5*t = q + 38 - 3, 2*q = 5*t - 40. Give n*d(k) + t*u(k).
7*k + 1
Let x(b) = -b**2 + b - 1. Let r(t) = 34*t**2 + 20. Determine r(k) + x(k).
33*k**2 + k + 19
Let o(y) = -y**2 - y - 1. Let h(m) = -172*m**2 + 3*m + 2. Determine h(c) + 2*o(c).
-174*c**2 + c
Let i(k) = 669. Let r(n) = -365. Let a(j) = -6*i(j) - 11*r(j). Let t(p) = -2*p. Determine 5*a(x) - t(x).
2*x + 5
Let v(q) = 5*q**2 - 14*q + 3. Let w(n) be the second derivative of n**4/6 - 5*n**3/6 + n**2/2 + 9*n - 48. Let a be ((-2)/(-3))/(3/18). Give a*v(y) - 11*w(y).
-2*y**2 - y + 1
Let b(x) = 1. Let j(w) = -132*w + 5 - 146*w - 1 - 146*w + 389*w. Calculate -4*b(f) + j(f).
-35*f
Let z(m) = 42*m - 3. Let f(d) = 45*d + 84. Let k(r) = 181*r + 380. Let a(g) = -9*f(g) + 2*k(g). Give 2*a(n) + 3*z(n).
40*n - 1
Let l(g) = -60*g - 294. Let a be l(-5). Let j(t) = -2*t**2 + 12*t + 7. Let h(x) = -4*x**2 + 24*x + 15. Determine a*h(n) - 13*j(n).
2*n**2 - 12*n - 1
Let j(s) be the third derivative of -s**6/24 - s**4/6 - s**3/6 + 12166*s**2. Let d(v) = 4*v**3 + 3*v. Calculate -4*d(y) - 3*j(y).
-y**3 + 3
Let d(q) = q. Let c(i) = 61*i + 63*i + 69*i + 65*i**2 - 38*i**2 - 201*i. Give -c(a) - 6*d(a).
-27*a**2 + 2*a
Let t(b) = -b**2 + b. Let s(h) = 12*h**3 - 66*h**2 + 66*h. Let l = -16620 + 16224. Determine l*t(x) + 6*s(x).
72*x**3
Let g = 3242 + -3239. Let o(p) = 3*p**2 + 11*p - 7. Let t(f) = -2*f**2 - 6*f + 4. Give g*o(b) + 5*t(b).
-b**2 + 3*b - 1
Let n(d) = -77*d + 7. Let f(u) = 53*u - 4. Determine -8*f(j) - 5*n(j).
-39*j - 3
Let u(a) = 8*a**2 - a - 2. Let g(q) = q**3 - 11*q**2 + 23*q - 8. Let z be g(2). Let t(v) = v**2 + v. What is z*t(i) + u(i)?
10*i**2 + i - 2
Let z = -349 - -354. Suppose 24 = k + 3*k + 4*m, -z*k = -5*m. Let g(h) = -h - 16. Let y(q) = 3. Give k*g(c) + 15*y(c).
-3*c - 3
Let i(g) = -769*g + 8. Let o(n) = -3079*n + 29. Give -11*i(l) + 3*o(l).
-778*l - 1
Let f = -21 + 22. Let n(x) = x**2 - 1. Let i(b) = 7*b**2 - 3. Let r(c) = f*i(c) - 6*n(c). Let h(z) = z**2 + 1. Suppose -y - 4 = -2*y. What is y*h(d) - r(d)?
3*d**2 + 1
Let x(r) = 7*r + 3. Let b(o) = 1. Let y(d) = 172*d - 1038. Let u be y(6). Calculate u*b(w) + 2*x(w).
14*w
Let t(j) = -19*j**2 + 80*j + 11. Let r(v) = 3*v**2 - 16*v - 2. Determine -22*r(i) - 4*t(i).
10*i**2 + 32*i
Let i(d) = 54*d**2 - 2*d + 15. Let x(l) = 122*l**2 - 5*l + 31. Dete