o*m(z) + f(z)?
-40*z**2
Let s(f) = -4*f**3 - 2*f + 1. Let g(q) = -22*q**3 + 175*q**2 - 12*q + 4. Determine g(b) - 6*s(b).
2*b**3 + 175*b**2 - 2
Let y(o) = -2060*o**2 + 21*o + 13. Let d(s) = -2061*s**2 + 18*s + 11. Calculate -7*d(p) + 6*y(p).
2067*p**2 + 1
Let q(n) = 12*n**3 - 6. Let f = 14028 - 14027. Let l(v) = v**3 - 1. Suppose -2*x + 24 = -6*x. Determine f*q(y) + x*l(y).
6*y**3
Let v(u) = 9*u**3 - 6*u**2 - 9*u + 3. Let b(f) = -56*f**3 + 36*f**2 + 63*f - 20. Give -2*b(c) - 13*v(c).
-5*c**3 + 6*c**2 - 9*c + 1
Let r(m) = 4*m + 1. Suppose 5*l - 2*l - 15 = 0. Let w = 9359 + -9365. Let n(y) = 5*y + 1. What is l*n(b) + w*r(b)?
b - 1
Let w(n) = -n**2 - 4. Let u(p) = p**2 + 3. Let d(i) = 254*i - 248. Let g be d(1). What is g*u(h) + 5*w(h)?
h**2 - 2
Let v(q) = -99*q**3 + 21*q**2 - 24*q - 117. Let o(x) = 33*x**3 - 7*x**2 + 9*x + 44. Calculate 8*o(a) + 3*v(a).
-33*a**3 + 7*a**2 + 1
Let x(m) = 26*m - 515. Let b(s) = -13*s + 259. What is -7*b(r) - 3*x(r)?
13*r - 268
Let j = 58 - 52. Let v(b) = -b - 9. Let y(h) = 8 - h + 4*h + 3*h + 0 - 5*h. Determine j*v(p) + 7*y(p).
p + 2
Let n(l) = -125*l**2 - 23*l - 24. Let q(t) = -43*t**2 - 8*t - 9. Determine 4*n(j) - 11*q(j).
-27*j**2 - 4*j + 3
Let t(a) = -8440*a - 253. Let u(w) = -18568*w - 552. Calculate 24*t(k) - 11*u(k).
1688*k
Suppose 0 = 2*x + 10*f - 8*f - 10, 4*x + 3*f = 20. Let d(p) = x*p + p + 13 + 0 - 8*p. Let v(g) = -g + 9. Determine 5*d(j) - 8*v(j).
-2*j - 7
Let u(o) = -12*o**3 + 46*o**2 - 7*o - 167. Let x(b) = 6*b**3 - 23*b**2 + 3*b + 70. Determine 3*u(n) + 7*x(n).
6*n**3 - 23*n**2 - 11
Let v(t) = 14*t**2 - 5*t + 9. Let a(k) = -7*k**2 + 2*k - 4. Let c be (-9)/126*7*-10. Determine c*a(d) + 2*v(d).
-7*d**2 - 2
Let i(c) = c**2 + 3*c + 5. Suppose 16 + 224 - 42 = -18*j. Let w(m) = 6*m**2 + 15*m + 25. Give j*i(a) + 2*w(a).
a**2 - 3*a - 5
Let x(w) = 93*w + 286. Let u be x(-3). Let l(p) = -5*p**3 - p**2 + 5. Let j(b) = 6*b**3 - 6. Give u*l(r) + 6*j(r).
r**3 - 7*r**2 - 1
Suppose 16 = 15*n + 31. Let o(i) be the third derivative of -i**4/24 + i**3/6 + 32*i**2 + 1. Let a(b) = 8*b - 13. What is n*a(s) - 6*o(s)?
-2*s + 7
Let w(p) = -28*p**2 - 18*p + 12332. Let d(o) = 6*o**2 + 4*o - 3083. Calculate 9*d(c) + 2*w(c).
-2*c**2 - 3083
Let b(p) = -6*p**3 + 6*p - 4 + 0 - 4*p**2 + 0*p. Let i(q) = 7*q**3 + 5*q**2 - 7*q + 5. Let v = 209115 + -209110. What is v*b(n) + 4*i(n)?
-2*n**3 + 2*n
Let n(o) = 161*o - 55. Let f(t) = t + 9. Calculate -3*f(a) - n(a).
-164*a + 28
Let t = -76 - -76. Let w(x) = -2*x + 4*x + 5 + t*x - x. Let o(j) = 2*j + 6. Let g = 26 + -29. Determine g*w(a) + 2*o(a).
a - 3
Let y(n) = 2*n**2 - 1. Let v(r) = 7*r**2 + 40*r - 9. Determine -v(m) + 5*y(m).
3*m**2 - 40*m + 4
Let l(j) = -262*j**2 - 14*j + 2. Let d(i) = -259*i**2 - 14*i + 2. Calculate -4*d(t) + 5*l(t).
-274*t**2 - 14*t + 2
Let r(w) = 251*w + 4414. Let i(t) = 836*t + 13242. Calculate -3*i(a) + 10*r(a).
2*a + 4414
Let j(a) = -a**2 + 8*a + 2. Let k(l) = -2*l**3 + 6*l**2 - 65*l + 168. Give 6*j(f) + k(f).
-2*f**3 - 17*f + 180
Let r(h) = -h**2 - 184*h - 28. Let b(c) = -2*c**2 - 550*c - 79. Give 5*b(f) - 14*r(f).
4*f**2 - 174*f - 3
Suppose -1 = -z + 2. Let c(d) = -d**3 - 2*d**2 - 3*d + 2. Let s(b) = -3*b**2 - 19*b**3 + 3*b**3 + 3 - 5*b + 6*b**3 + 8*b**3. Calculate z*s(u) - 5*c(u).
-u**3 + u**2 - 1
Suppose c + q = 4*c - 34, 5*c + q = 54. Let n(p) = c*p + 5 - 2*p + p. Let x(b) = 5*b + 2. What is -3*n(i) + 7*x(i)?
5*i - 1
Let c(j) = -9*j + 17. Let x(y) = 4*y - 8. Let o(w) = 105*w + 5990. Let h be o(-57). What is h*x(q) + 2*c(q)?
2*q - 6
Let f(c) = -13*c. Let j(r) = 40*r. Let k(y) = 17*f(y) + 6*j(y). Let o(d) = -9*d. Let b(q) = 419*q - 8796. Let p be b(21). Determine p*k(a) + 7*o(a).
-6*a
Let k(b) = -384*b**3 + 5*b**2 + 4*b - 3. Let j(p) = 394*p**3 - 4*p**2 - 3*p + 2. What is 4*j(h) + 3*k(h)?
424*h**3 - h**2 - 1
Let y(d) be the first derivative of 15*d**2/2 + 25*d - 103741. Suppose 12 = -4*z, 5*h - 118 = -5*z - 8. Let c(r) = -2*r - 3. Determine h*c(o) + 3*y(o).
-5*o
Let x(l) = l + 1. Let q(g) be the first derivative of -7*g**3/3 + 3*g**2 + 3*g + 3976. Determine -q(z) + 6*x(z).
7*z**2 + 3
Let j(r) = 3*r**3 - 2*r**2 + 4. Let u(f) = 124*f + 866. Let q be u(-7). Let x(i) = -i**3 - 1. Determine q*x(h) - j(h).
-h**3 + 2*h**2 - 2
Let f(w) = -2*w**3 - w + 2. Let y(t) = -131*t**3 + 5*t**2 - 7*t + 12. Calculate -6*f(v) + y(v).
-119*v**3 + 5*v**2 - v
Let i(g) = 1961*g**3 - 5*g**2 - 6*g - 12. Let l(b) = -b**2 - b - 2. Calculate i(r) - 6*l(r).
1961*r**3 + r**2
Let o(n) = 6300777*n. Let l(m) = 1982*m. Calculate -15896*l(x) + 5*o(x).
-1987*x
Let o(z) = -10*z**2 - 14. Let f(i) be the third derivative of i**3/6 + 988*i**2. Determine -28*f(b) - 2*o(b).
20*b**2
Let l(k) = 1054 + 2*k - 2052 + 1002 + 2*k. Let u(b) = -b + 1. Determine 2*l(v) + 6*u(v).
2*v + 14
Let v(d) = 179 + 0*d - d + 188 - 2*d**2 - 369. Let o = 3 - -1. Let k(w) = 2*w**2 + w + 2. Give o*v(c) + 3*k(c).
-2*c**2 - c - 2
Let a(l) = -5*l**3 - 2*l**2 - l + 1. Suppose -9*x + 28 = 3*x + 16*x. Let j(f) = -f**3 + f - 1. Calculate x*a(y) + j(y).
-6*y**3 - 2*y**2
Let l(a) = 10*a - 14. Let r be (-1080)/(-210) + 2/(-14). Let g(w) = 2*w + 0 + 5 - 13 + r. What is 14*g(d) - 3*l(d)?
-2*d
Suppose -96*r + 306 - 134 = -212. Let l(f) = f**3 + f**2 + f + 1. Let h(y) = 16*y**2 - 7*y**2 - 7*y**3 - 13*y**2 - 6*y - 3. What is r*l(s) + h(s)?
-3*s**3 - 2*s + 1
Let h(c) = 2 + 64*c - 208*c - 5*c**2 + 68*c + 73*c. Let b = 76 + -73. Let n(q) = 6*q**2 + 4*q - 3. What is b*n(z) + 4*h(z)?
-2*z**2 - 1
Let w(g) = 8*g**3 - 4*g. Let q(t) = 7*t**3 - 3*t. Let z be -2 + 36/(-21) + 11*(-22)/847. Give z*w(i) + 5*q(i).
3*i**3 + i
Suppose k + 27 = 40*f - 43*f, f = -2*k - 19. Let w(v) = -33*v + 3. Let t(m) = -67*m + 5. Determine f*w(b) + 4*t(b).
-37*b - 1
Suppose -2*g + 13*g = -11. Let p(t) = -t**2 - 5*t + 6. Let r(j) = -j + 1. Calculate g*p(a) + 3*r(a).
a**2 + 2*a - 3
Let n(k) = 7*k**2 + 3*k + 7. Let p(j) = 501*j - 1024*j - j**2 - 1 + 523*j. What is -n(a) - 6*p(a)?
-a**2 - 3*a - 1
Let c(g) = 5*g**3 + 2. Let l(f) = -19*f**3 - f**2 + f - 6. Let h(i) = -6*c(i) - 2*l(i). Let v(o) = -o**3 + o. Determine -h(s) - 3*v(s).
-5*s**3 - 2*s**2 - s
Let y(d) = -d**2 + d + 1. Let g(s) = -2*s**2 + 3*s + 1. Suppose 1496 = -4*z - 4*m, 14*m = 4*z + 19*m + 1495. Let a = 372 + z. Determine a*y(l) + g(l).
l**2 - 2
Suppose 10*c - 4*c + 1 = 7*c. Let a(r) = r**3 - r**2 - r. Let b(t) = -t**3 + 10*t**2 + 3*t + 1. What is c*b(v) + 3*a(v)?
2*v**3 + 7*v**2 + 1
Let u(h) = -68*h - 2. Let a(n) = 63*n - 66. Let v(d) = 40*d - 42. Let s(g) = -7*a(g) + 11*v(g). Give -5*s(i) + u(i).
-63*i - 2
Let t(m) = 12*m + 1487. Let h(k) = 14*k + 1517. Calculate -3*h(i) + 4*t(i).
6*i + 1397
Let n(u) = -6*u - 60*u**2 - 17*u**2 - 13 + 70*u**2. Let b(d) = d**2 + d. Give -5*b(z) - n(z).
2*z**2 + z + 13
Let v(t) = 261*t - 1302. Let x(g) = -92*g + 434. Determine 6*v(d) + 17*x(d).
2*d - 434
Let g(h) = -2081*h**3 + 3*h - 18. Let a(d) = -d**3 + d - 6. Determine -3*a(f) + g(f).
-2078*f**3
Let h(f) = -6*f**3 + 5*f**2 - 4*f - 7. Let j be ((-11)/(-2) + 2)*16/24. Let a(t) = -4*t + 25*t + 6 - 10*t - 8*t - 4*t**2 + 5*t**3. Give j*a(n) + 4*h(n).
n**3 - n + 2
Let a(p) = 3*p. Let f(g) = 5*g. Let q be 298/2*(-2)/(-2 + 4). Let t = -149 - q. Suppose t*c - 15 = -3*c. Calculate c*f(k) - 7*a(k).
4*k
Let k(x) = -477*x + 125*x + 117*x + 46 + 119*x + 113*x. Let c(i) = -5*i + 69. Determine 5*c(u) - 8*k(u).
-u - 23
Suppose -38 = -11*a - 181. Let t(p) = 11*p**3 - 2*p + 7. Let l(f) = 5*f**3 - f + 3. Let x = -35 - 1. Let i = x - -42. What is a*l(u) + i*t(u)?
u**3 + u + 3
Let n(x) be the first derivative of -x**2/2 + x + 9. Let a(o) = 3*o**2 - 3*o + 4. Suppose -4*s = 4*t - 161 + 185, -2*s + t + 9 = 0. What is s*a(m) - 4*n(m)?
3*m**2 + m
Let v(q) = 380*q**3 + q**2 + 4*q + 15. Let y(p) = -1899*p**3 - 6*p**2 - 23*p - 82. Determine -11*v(h) - 2*y(h).
-382*h**3 + h**2 + 2*h - 1
Let j(r) = -6*r**3 + 34*r**2 + 48*r - 12. Let z(h) = -6*h**2 + 2. Give -j(d) - 6*z(d).
6*d**3 + 2*d**2 - 48*d
Let m(o) = -3253*o**2 - 4*o - 2. Let u(w) = -42291*w**2 - 54*w - 27. Give -54*m(g) + 4*u(g).
6498*g**2
Let a(h) = -h. Let k(c) = c**2 + 3*c + 1. Let j(b) = -5*a(b) - 2*k(b). Let t(y) = -y**2 - y - 1. Determine -j(u) + 3*t(u).
-u**2 - 2*u - 1
Let s(h) = h**3 - h**2 + 6*h - 3. Let v(q) = -2*q**3 + 2*q**2 - 12*q + 7. Let w(p) = -p**3 + 30*p**2 + 70*p - 1212. Let r be 