r**2. Let f be 5/(-2) - 2/4. What is f*g(u) + y(u)?
u
Let r(y) = 12*y**3 - 7*y**2 + 49*y + 1843. Let s(o) = -5*o**3 + 3*o**2 - 21*o - 922. Determine -3*r(w) - 7*s(w).
-w**3 + 925
Let v(s) = 6 - 21 + 3 + 13 + 9*s. Let q(n) = 5*n. Give 5*q(c) - 3*v(c).
-2*c - 3
Let m(g) = 7*g**3 - 2*g**2 + 8*g. Suppose 1074 = 161*h + 269. Let t(o) be the second derivative of 2*o**5/5 - o**4/4 + 3*o**3/2 + 4*o. What is h*t(f) - 6*m(f)?
-2*f**3 - 3*f**2 - 3*f
Let g(d) = -22*d**2 - 3*d - 3. Let m(y) = 572*y**2 + 77*y + 77. Let i = -2922 + 2925. Determine i*m(x) + 77*g(x).
22*x**2
Let a(x) = -24*x + 24*x + 2*x + 5. Let f(v) = -v - 3. Suppose 0 = 16*s - 19*s + 18. Give s*a(d) + 10*f(d).
2*d
Let y(g) = -g**3 + g**2 + 1. Let n(f) be the first derivative of 5*f**4/2 - 5*f**3/3 - 5*f + 1236. Calculate -2*n(x) - 10*y(x).
-10*x**3
Let c(q) = 2*q**2 + 4*q + 1. Let s(i) = i. Let u(f) = 481*f + 13946. Let t be u(-29). Give t*s(x) + c(x).
2*x**2 + x + 1
Let a(u) = -u**3 - 2*u**2 - u + 8. Let j(x) = 6*x**3 + 9*x**2 + 6*x - 41. Let y = 24407 - 24409. Calculate y*j(q) - 11*a(q).
-q**3 + 4*q**2 - q - 6
Let b be (-16)/168*-1*45 + 2/(-7). Let a(i) = -17*i**3 - 18*i. Let n(d) = 6*d**3 + 6*d. Give b*a(k) + 11*n(k).
-2*k**3 - 6*k
Let n(w) = -2*w**2 - 2*w + 13. Let p(r) = -6. Let t(s) = n(s) + 2*p(s). Let o(m) = 2*m**2 + 3*m - 1. Determine 2*o(i) + 3*t(i).
-2*i**2 + 1
Let x(t) = 1154*t**3 + 2*t**2 - t. Let r(v) = -8*v**3 - 2*v**2 + v - 1. Give r(w) + x(w).
1146*w**3 - 1
Let u(o) = o + 130. Let m be u(8). Suppose 0 = -21*y + 33 - m. Let h(q) = -29*q + 14. Let i(d) = -19*d + 9. What is y*h(t) + 8*i(t)?
-7*t + 2
Let f(z) = -4*z**2 + 2*z + 1. Let q(c) = -2*c**2 + c. What is 4*f(m) - 11*q(m)?
6*m**2 - 3*m + 4
Let s(i) be the third derivative of -i**4/4 + i**3/2 + i**2. Let z(p) = 7 + 7 + 8 - 3*p - 26 + 5. Determine -2*s(k) + 5*z(k).
-3*k - 1
Let q(d) = -7*d**3 + 5*d**2 + d - 6. Let b(g) = g**3 - g**2 + 1. Suppose 37*w + 9338 = 8*w. Let o = 328 + w. Determine o*b(j) + q(j).
-j**3 - j**2 + j
Let c(q) = -5*q + 1. Let t(r) be the first derivative of -2*r + 65 + 11/2*r**2. Determine -9*c(f) - 4*t(f).
f - 1
Let g(v) = 2*v + 2146. Let j(o) = -14*o - 12876. What is 13*g(r) + 2*j(r)?
-2*r + 2146
Let z(j) = -20*j**3 + 3*j**2 - 26. Let g(m) = 11*m**3 - 2*m**2 + 12. What is -13*g(k) - 6*z(k)?
-23*k**3 + 8*k**2
Suppose 1 - 6 = -j. Suppose -j*w - f = -0*w + 18, -w - 3*f - 12 = 0. Let z(g) = -4*g**3 - 3*g**2 + g - 3. Let d(o) = o**3 + o**2 + 1. Determine w*d(b) - z(b).
b**3 - b
Let h be ((-7)/14)/((-1)/14). Let d(u) = -5*u - 7. Let v(w) be the third derivative of 0*w + 3*w**2 - 22 - 5/3*w**3 - 1/3*w**4. Give h*d(r) - 5*v(r).
5*r + 1
Let d(g) = 1. Let q(c) be the first derivative of c**5/30 + 5*c**4/6 + 55*c**3 - 204. Let b(p) be the third derivative of q(p). What is 3*b(z) - 60*d(z)?
12*z
Suppose -162*g + 87 = -191*g. Let w(x) = -x**3 - x**2 + x - 1. Let m(i) = -11*i**3 - 3*i**2 + 3*i - 3. What is g*w(f) + m(f)?
-8*f**3
Let g(i) = 2882*i**3 + 3*i + 3. Let h(o) = -11110113*o**3 - 11564*o - 11564. Calculate -11564*g(w) - 3*h(w).
2891*w**3
Let r(y) = y - 5. Let o(d) = 6*d. Let c(l) = -9*l - 3. Let t(z) = 3*c(z) + 5*o(z). Calculate 5*r(n) - 2*t(n).
-n - 7
Let i(n) = 224*n**2 + 3*n + 5. Let o(t) = -673*t**2 - 11*t - 17. Give -7*i(h) - 2*o(h).
-222*h**2 + h - 1
Let n(l) = -74*l**3 - 10*l**2 - 14*l + 1. Let w(o) = -149*o**3 - 19*o**2 - 25*o + 2. Give -7*n(m) + 4*w(m).
-78*m**3 - 6*m**2 - 2*m + 1
Let i(g) = 77*g**3 + 42*g - 42. Let q(y) = 9*y**3 + 5*y - 5. Let a(t) = -t**2 - 13*t + 343. Let f be a(13). Calculate f*i(r) - 42*q(r).
7*r**3
Let x be (1 - 14) + (2 - -6). Let i(g) = -4*g**2 + 3. Let w(p) = 9*p**2 + p - 7. Calculate x*i(z) - 2*w(z).
2*z**2 - 2*z - 1
Suppose -3*j + 10*p = -39, 5*p - 1 + 19 = j. Let s(z) = -26*z**2 + 4*z - 4. Let h(q) = 27*q**2 - 3*q + 3. Determine j*s(b) + 4*h(b).
30*b**2
Let b(f) = 95*f**3 - 28*f**2 + 4*f - 12. Let m(q) = 192*q**3 - 49*q**2 + 7*q - 25. Determine 7*b(o) - 4*m(o).
-103*o**3 + 16
Let h(y) = -y - 1. Suppose 15*s = 10*s + 4*m - 33, 3*s = 4*m - 23. Let z be (-2)/s*345/(-23). Let j(n) = -2*n**3 - n**2 + 6*n + 8. What is z*h(r) - j(r)?
2*r**3 + r**2 - 2
Let d(y) = y**2 + 2*y - 3. Let c(g) = -2*g**2 + 4*g - 1. Let h(v) = -14*v**2 + 15*v + 3. Let q(s) = -5*c(s) + h(s). Determine 8*d(m) + 3*q(m).
-4*m**2 + m
Let f(t) = 87*t**2 - 82*t. Let g(l) = -171*l**2 + 173*l. Determine 5*f(q) + 2*g(q).
93*q**2 - 64*q
Let i(z) = -z**2 - z - 1. Let n(p) = -4*p**2 + 14*p + 9. Let g(o) = 21*o**2 - 78*o - 48. Let w(x) = 2*g(x) + 11*n(x). What is i(q) + w(q)?
-3*q**2 - 3*q + 2
Let c(f) = 6*f**2 - 66*f + 913. Let o(g) = g**2 - 12*g + 183. Calculate 6*c(m) - 33*o(m).
3*m**2 - 561
Let z(g) = -10*g**2 - 16*g + 11. Let k(w) = -5*w**2 - 2*w + 16. Let r(h) = -3*h**2 + h + 14. Let i(a) = -k(a) + r(a). What is -11*i(b) - 2*z(b)?
-2*b**2 - b
Let v(h) be the first derivative of -4*h**2 - 2*h**2 + 2*h - 5 + 7*h**2. Let z(d) = 2*d + 1. Let b(l) = -93*l + 1765. Let o be b(19). Give o*z(q) + 3*v(q).
2*q + 4
Let r(z) = -z. Let y(d) = -6*d + 25. Let p be y(6). Let v be -3 + 1 - 1 - -9. Let i(w) = 0*w - v*w + w. Determine p*r(a) + 2*i(a).
a
Let u(l) = 40*l**2. Let g(q) be the third derivative of q**5/6 + 407*q**2 - 1. What is 15*g(d) - 4*u(d)?
-10*d**2
Let n(o) = -o - 74. Let k(q) = 32*q + 580. Let j(l) = -5*k(l) - 40*n(l). Let h(u) = -u + 1. Give -60*h(v) + j(v).
-60*v
Suppose -5*n - 4 - 11 = 0. Let v(k) = -k**3 - 5*k - 3. Let z(w) be the first derivative of -w - 74 - 1/2*w**2. What is n*z(o) + v(o)?
-o**3 - 2*o
Let y(n) = -55*n**2 - 13*n + 13. Let j(s) = 53*s**2 + 11*s - 9. Give -4*j(k) - 3*y(k).
-47*k**2 - 5*k - 3
Let n(z) = z + 1. Let p(c) = 5*c - 12. Suppose -36 = -4*o + 12*q - 8*q, -24 = -2*o + 3*q. Calculate o*n(u) - p(u).
-2*u + 15
Let g(f) = -5*f**3 - 9*f**2 - 3*f - 8. Let a(u) = 2*u**3 + 2*u**2 + u + 1. Calculate 2*a(t) + g(t).
-t**3 - 5*t**2 - t - 6
Let k(g) = -976*g**3 - 32*g**2 + 52*g. Let s(a) = -150*a**3 - 5*a**2 + 8*a. Give 5*k(x) - 32*s(x).
-80*x**3 + 4*x
Let r(l) = l**3 + l**2 - l. Let w(c) = 6*c**3 + c**2 - 12*c - 12. Calculate -5*r(n) + w(n).
n**3 - 4*n**2 - 7*n - 12
Let z(m) = -17*m**3 - 6*m**2 + 4*m + 80. Let t(a) = -85*a**3 - 33*a**2 + 22*a + 402. Determine 2*t(j) - 11*z(j).
17*j**3 - 76
Suppose -9*l + 5*l + 56 = 0. Let t(m) = 18 - 2*m - 2 - l. Let z(q) be the second derivative of q**3/6 + 6*q. What is -t(b) + z(b)?
3*b - 2
Let q(s) = -5*s**3 + 5*s**2 + 6*s + 10. Let k(f) = -6*f**3 + 6*f**2 + 7*f + 11. Suppose 0 = -72*i - 84*i + 1092. Determine i*q(m) - 6*k(m).
m**3 - m**2 + 4
Let m(q) = -2*q**3 + 5*q**2 - 13*q - 13. Let f = -1093 - -1085. Let r(l) = -3*l**3 + 8*l**2 - 20*l - 20. What is f*m(g) + 5*r(g)?
g**3 + 4*g + 4
Let k(g) = 5*g + 4. Let h(i) = i + 1. Let w(u) = -4*h(u) + k(u). Let p(l) = l**2 + 114268 - 228535 + 114268 - 4*l. Calculate p(t) + 5*w(t).
t**2 + t + 1
Let g(m) be the third derivative of -m**5/6 + m**4/12 + m**3 - 231*m**2. Let z(b) = 11*b**2 - 2*b - 7. Give 6*g(n) + 5*z(n).
-5*n**2 + 2*n + 1
Let n(v) = -1195*v**2 - 4*v. Let b(x) = 3*x**2 - 4*x. Determine -3*b(u) + 3*n(u).
-3594*u**2
Let z(l) = -3*l**3 + 2*l**2 + 7*l + 117. Let t(o) = 4*o**3 - 3*o**2 - 10*o - 116. Calculate -2*t(u) - 3*z(u).
u**3 - u - 119
Let t(v) = 145*v + 2. Let k(q) = 129*q + 1. What is 10*k(h) - 9*t(h)?
-15*h - 8
Let i(p) = -7*p**3 + 3*p**2 - 3*p. Let z(o) = 4*o + 100*o**3 - 201*o**3 - 4*o**2 + 109*o**3. Suppose -3*r - f - 18 = 0, 0 = -0*f + 4*f. What is r*z(u) - 8*i(u)?
8*u**3
Let l(k) = 22431*k**3 - 12*k**2 - 24*k. Let d(m) = -2*m**3 - m**2 - 2*m. What is -12*d(n) + l(n)?
22455*n**3
Let l = 221 + -222. Let g(z) = -z - 1. Let t = 11 - 5. Let v(o) = 1 - 126*o - 6 + 123*o. What is l*v(p) + t*g(p)?
-3*p - 1
Let r(x) = 12 + 6 + 3077265*x - 3077269*x. Let j(z) = 2*z - 9. Calculate 9*j(f) + 4*r(f).
2*f - 9
Let q(h) = -375*h + 135. Let t(u) = 2*u**3 - 31*u**2 + 104*u - 7. Let x be t(8). Let k(p) = -11*p + 4. Calculate x*k(z) + 4*q(z).
-15*z
Let t(w) be the third derivative of 29*w**4/6 - 5*w**3/6 + 4764*w**2. Let y(r) = -174*r + 7. Give -7*t(x) - 5*y(x).
58*x
Let c(u) = 3*u**2 + 5. Let z = -64 + 101. Suppose -55 = 23*t + z. Let j(f) = -f**2 - 1. Calculate t*j(l) - c(l).
l**2 - 1
Let i(h) = 9*h**2 + 2*h - 3. Let r(p) = 18*p - 51. Let v be r(3). Let y(o) = 15*o**2 + 5*o - 4 + v*o**2 - 3 + o**2. What is 7*i(q)