n(d) = d - 2. Let u = 16 - 12. Give u*g(x) + v*n(x).
x - 2
Let f(x) = 2*x + 6. Suppose 15 = 5*j - 5*t, -2*j - 16*t = -21*t. Let y = -6 + 14. Let h(b) = -b - 4. Determine j*f(z) + y*h(z).
2*z - 2
Let a(c) be the first derivative of -17*c**2/2 - 24187. Let f(u) = -26*u. Suppose 32 = -4*z + 4. Calculate z*a(b) + 5*f(b).
-11*b
Let x(w) = -6395*w**3 - 4*w**2 - 2*w - 18. Let h(q) = -12789*q**3 - 10*q**2 - 5*q - 45. What is -2*h(a) + 5*x(a)?
-6397*a**3
Let i(f) = 11*f**3 + 5*f**2 + 4*f + 3. Let l(w) = 6*w**3 + 3*w**2 + 2*w + 2. Suppose -3*n - 6 = -n. Suppose 109*p + 5*p - 570 = 0. What is n*i(a) + p*l(a)?
-3*a**3 - 2*a + 1
Let d(h) = -h**3 - 1175*h - 3. Let w(k) = -k**3 - 598*k - 1. Determine 3*d(m) - 7*w(m).
4*m**3 + 661*m - 2
Let p(c) = 7*c**2 - 8*c - 8. Let b be (-18)/(-12)*48*9/(-81). Let w(m) be the first derivative of 3/2*m**2 - 1 + 3*m - 2/3*m**3. Calculate b*w(n) - 3*p(n).
-5*n**2
Let y(o) = -280*o**2 - 12*o - 3. Let l(v) = 559*v**2 + 21*v + 6. Give 4*l(d) + 7*y(d).
276*d**2 + 3
Let i(l) = -4*l**3 + 135*l**2 - 18*l - 6. Let w(u) = 4*u**3 - 138*u**2 + 15*u + 5. Calculate -5*i(z) - 6*w(z).
-4*z**3 + 153*z**2
Let t(u) = u**3 + u**2 + 1. Suppose -5*s - 3 = -7*s - k, 3*k - 2 = s. Let v be (8 - 1/s)*6/21. Let m(x) = 3*x**3 + 2*x**2 + 4. What is v*t(j) - m(j)?
-j**3 - 2
Let g(i) = -1901*i**2 - 3*i - 9. Let a(j) = 17108*j**2 + 28*j + 84. Give -3*a(z) - 28*g(z).
1904*z**2
Let r(h) = 2*h + 5. Suppose 866 = -426*l - 16*l + 9*l. Let u(y) be the third derivative of y**3/6 + y**2. Suppose 0 - 4 = -4*w. What is l*u(p) + w*r(p)?
2*p + 3
Let i(c) = -109*c + 226. Let w(f) = 54*f - 122. Give -3*i(s) - 7*w(s).
-51*s + 176
Let a(q) be the second derivative of -q**3/2 + q**2/2 - 503*q. Let l be (-15)/(-3) - (14 + -10). Let k(g) = g. Calculate l*a(f) - 5*k(f).
-8*f + 1
Let q(a) = 10*a**3 - 6*a + 275. Let o(h) = 28*h**3 - 17*h + 824. Determine 6*o(f) - 17*q(f).
-2*f**3 + 269
Let t(h) = -2*h**3 - 2*h**2 + 3*h + 8. Let q(j) be the third derivative of j**6/40 + j**5/20 - j**4/6 - 3*j**3/2 + 553*j**2. Determine 3*q(k) + 4*t(k).
k**3 + k**2 + 5
Let v(w) = -5*w**2 + w - 4. Let s(z) be the second derivative of -11*z**4/12 + z**3/3 - 9*z**2/2 + 8*z + 2. What is 3*s(m) - 7*v(m)?
2*m**2 - m + 1
Let l(x) = 2*x**3 - 2*x**3 - x - x**3. Let o(n) = -4*n**3 - n. Let a be (-33)/(-6)*(-456)/1254. Calculate a*o(y) + 2*l(y).
6*y**3
Let r(u) be the first derivative of -17*u**4/4 - 4*u + 2620. Let h(n) = 135*n**3 + 33. Determine -4*h(k) - 33*r(k).
21*k**3
Let u(x) = -3*x + 1. Let h(j) = -35*j + 14. Let s(w) = -h(w) + 6*u(w). Let z = -113 + 5. Let a be 2/7 - z/14. Let l(t) = -11*t + 5. What is a*l(y) + 5*s(y)?
-3*y
Let b(s) = -3*s**3 + 7*s**2 + 7*s + 3. Suppose 1189 - 118 = 78*a + 75*a. Let n(v) = v**3 - 2*v**2 - 2*v - 1. What is a*n(y) + 2*b(y)?
y**3 - 1
Let z(x) = x**3 + 8. Let b(c) = c**2 - 32 + 23 + 41 + 3*c**3. Let m(q) = -2*b(q) + 9*z(q). Let g(i) = 4*i**3 - 2*i**2 + 9. What is 4*g(d) - 5*m(d)?
d**3 + 2*d**2 - 4
Let u(m) = 11*m**3 + 5*m**2 - 12*m - 5. Let s(d) = -15*d**3 - 6*d**2 + 12*d + 6. What is 5*s(g) + 6*u(g)?
-9*g**3 - 12*g
Let y(z) = 5*z**3 + 2*z**2 + 3*z - 1. Let k(d) = 3*d + 4*d - 15*d + 7*d. Let x = 5 - 8. Calculate x*k(q) - y(q).
-5*q**3 - 2*q**2 + 1
Let a(d) = -9*d**2 - 6*d - 27. Let x(m) = -26*m**2 - 17*m - 80. Let o be 1/(15/6630*26). What is o*a(s) - 6*x(s)?
3*s**2 + 21
Let y(o) = -402*o - 5. Let f(n) = -118793*n - 1477. Calculate 5*f(c) - 1477*y(c).
-211*c
Let j(g) = -5*g**3 + g**2 + 2*g - 2. Suppose -390*a = -421*a - 62. Let d(h) = -15*h**3 + 4*h**2 + 7*h - 7. Determine a*d(t) + 7*j(t).
-5*t**3 - t**2
Let r(y) = 128*y - 72. Let p(l) = -l - 14. What is -5*p(t) + r(t)?
133*t - 2
Let o(n) = -n - 1. Let f = -3 + 5. Let k(h) be the third derivative of -h**4/6 - h**3 + 2*h**2 - 2*h - 500. What is f*k(s) - 11*o(s)?
3*s - 1
Let x(p) = 22*p**3 - 3*p - 37. Let c(n) = -22*n**3 + 4*n + 50. Let v(f) = -3*c(f) - 4*x(f). Let g(a) = 43*a**3 + 4. What is 3*g(j) + 5*v(j)?
19*j**3 + 2
Let y(z) = -z**2 - 3*z - 3. Let i(q) = -19 - 8 + 5*q + 2*q**2 + 41 - 9. Calculate 3*i(c) + 5*y(c).
c**2
Let g(d) = d**2 + d - 1. Let p(v) = -3*v**3 + 5*v**2 + 4*v - 2. Let j = 3642 + -3643. Calculate j*p(f) + 5*g(f).
3*f**3 + f - 3
Let c(s) = 4005*s**3 - 2*s**2 - 8*s - 4. Let q(l) = 20024*l**3 - 11*l**2 - 44*l - 22. Calculate 11*c(o) - 2*q(o).
4007*o**3
Let l(r) = -24*r - 8. Let t(d) = -14*d - 5. Let y(n) = 6*l(n) - 10*t(n). Let u(p) = -7 - 96*p + 4 + 0 + 103*p. Give 3*u(i) + 5*y(i).
i + 1
Suppose 219*m = 224*m - 150. Suppose 0 = -84*q + 89*q + m. Let y(v) = 5*v**3 - 6*v**2 - 6*v - 6. Let c(u) = -5*u**3 + 5*u**2 + 5*u + 5. What is q*c(i) - 5*y(i)?
5*i**3
Let w(p) be the second derivative of p**4/3 + p**3/2 + 92*p + 1. Let x(m) = -m**2 + m. Determine -2*w(r) + 6*x(r).
-14*r**2
Let r(b) = -b**2 + 2*b - 5. Let c(a) = -61*a**2 + 4*a - 16. Calculate c(i) - 2*r(i).
-59*i**2 - 6
Let x(s) = 150*s**2 + 4*s + 3. Let b(z) = 151*z**2 + 6*z + 4. Give -4*b(u) + 6*x(u).
296*u**2 + 2
Let x(f) = 5*f - 6. Let s(t) be the second derivative of -t**3/6 + t**2/2 + 8*t - 39. Determine 3*s(y) + x(y).
2*y - 3
Suppose -3*t + b - 267 + 277 = 0, -t = 3*b. Let p(v) = -352*v + 80. Let i(l) = 13*l - 3. What is t*p(w) + 80*i(w)?
-16*w
Let u(o) = 7*o**3 - 147*o - 5. Let m(l) = -4*l**3 + 77*l + 2. Determine 5*m(d) + 2*u(d).
-6*d**3 + 91*d
Let p(o) be the first derivative of -3*o**2/2 - 2*o - 49. Let v(q) = -1 + 3 - 28*q + 32*q. What is -6*p(f) - 5*v(f)?
-2*f + 2
Let l(p) = p + 7. Let h be 7 - (2/4 + (23 - 767/26)). Let a(v) = -v - 3. Give h*a(c) + 6*l(c).
-7*c + 3
Let i(r) = -43*r. Let h(x) = 43*x. Let o(q) = -5*h(q) - 6*i(q). Let b(g) = 408*g. Give -5*b(y) + 48*o(y).
24*y
Let r(n) = -65*n - 70. Let z(i) = -29*i - 36. What is -4*r(d) + 9*z(d)?
-d - 44
Let h(x) = 6*x - 3273 + 3268 + 10*x - 17*x. Let l(m) = m + 6. Let j(b) = b**2 + 3*b - 4. Let k be j(-5). Determine k*h(a) + 5*l(a).
-a
Let t(p) = p**3 - p**2 + p. Let k(l) = 68*l**3 - 4*l + 71*l**3 + 3*l - 193*l**3 + 51*l**3 - 3*l**2. Determine -2*k(h) - 4*t(h).
2*h**3 + 10*h**2 - 2*h
Let c(l) = 16*l**2. Let b(t) = -630*t**2 + 1. What is b(n) - 3*c(n)?
-678*n**2 + 1
Let s(c) = -25*c. Let y(q) = -76*q. Suppose 43*k + 2*k - 90 = 0. Calculate k*y(u) - 7*s(u).
23*u
Let n(o) be the third derivative of 13*o**4/24 - 13*o**3/6 + 259*o**2. Let y(h) = -2*h + 4. Let g(i) = i + 1. Let t(w) = g(w) - y(w). What is -2*n(p) + 9*t(p)?
p - 1
Let d(g) = -g**2 - g. Let p(n) = 27*n + 1056. Let v be p(-39). Let f(h) = 64*h**2 + 80*h. Calculate v*f(t) + 240*d(t).
-48*t**2
Let u = -185 - -192. Suppose 12*w - u*w - 25 = 0. Let v(o) = -7*o + 3. Let c(s) = -8*s + 2. Calculate w*c(d) - 6*v(d).
2*d - 8
Let j(q) = -137*q**3 - 19*q**2 - q + 6. Let k(w) = 138*w**3 + 23*w**2 + w - 7. Calculate -5*j(u) - 4*k(u).
133*u**3 + 3*u**2 + u - 2
Suppose 29*i - 17 = 214 + 1. Let c(u) = 49*u**3 + 8*u**2 + 6. Let t(w) = -16*w**3 - 3*w**2 - 2. Determine i*t(y) + 3*c(y).
19*y**3 + 2
Let l(n) = -13169*n**3 - 15*n**2 + 10*n. Let z(v) = -335808*v**3 - 384*v**2 + 256*v. What is -128*l(u) + 5*z(u)?
6592*u**3
Let g(n) = 3*n**3 + n**2 - 1. Let q(f) = -8*f**3 - 3*f**2 - 60*f + 4. Give 3*g(a) + q(a).
a**3 - 60*a + 1
Let a(i) = 20*i**2 + 2*i + 159. Let m(o) = 34*o**2 + 3*o + 320. What is -5*a(l) + 3*m(l)?
2*l**2 - l + 165
Let p(i) = -i + 13. Let m(t) = -2*t + 27. Let u = -9016 - -9014. Calculate u*m(f) + 5*p(f).
-f + 11
Let x(i) = 279*i**2 + 3*i + 22. Let y(o) = 94*o**2 + o + 8. Calculate 4*x(p) - 11*y(p).
82*p**2 + p
Let r(m) = m - 5. Let a(j) = j + 2. Suppose -12*b = -9*b - 9, -4*b = -3*i - 9. Let g(y) = i*r(y) + 2*a(y). Let c(v) = -v. What is 5*c(f) - g(f)?
-8*f + 1
Let n(f) = -2574143*f + 1573. Let d(v) = -3275*v + 2. Determine 1573*d(o) - 2*n(o).
-3289*o
Suppose -146*u = -75*u + 142. Let a(v) = -5*v**3 + 10*v**2 - 5*v. Let i(h) = -4*h**3 + 9*h**2 - 4*h. Calculate u*a(s) + 3*i(s).
-2*s**3 + 7*s**2 - 2*s
Let l(c) = 143*c + 153*c - 2 + 144*c - 588*c + 147*c + 11*c**2. Let f(o) = o**2 + o + 1. What is -2*f(i) - l(i)?
-13*i**2 - i
Let m(p) = -p - 2. Let h(k) = -3*k - 8. Let s(t) = -3 + 13*t + 5*t + 16 - 13*t. Let a(z) = -8*h(z) - 5*s(z). Determine -5*a(g) + 2*m(g).
3*g + 1
Let n(w) = 7*w**2 - 9*w + 8 + 11*w - 3 + 2*w. Let y(p) = 11*p**2 + 6*p + 8. Calculate 8*n(t) - 5*y(t).
t**2 + 2*t
Let n(j) = 4020*j**2 + 6030*j + 12060. Let b(p) = -p**2 