3
Let a(u) = 23*u - 2. Let y(m) be the first derivative of 391*m**2 - 69*m - 15. Give 69*a(d) - 2*y(d).
23*d
Let i(s) = s + 106. Let j(k) = 106. Determine 2*i(r) - 3*j(r).
2*r - 106
Suppose m + 27 = 4*h - 2, 3*m = h - 21. Let k(f) = -3*f. Let d(i) = 4*i - 353. Let z(p) = 8*p - 647. Let o(n) = -11*d(n) + 6*z(n). What is h*k(u) + 4*o(u)?
-2*u + 4
Let g(i) = -1786*i - 34. Let p(m) = 446*m + 8. What is 2*g(q) + 9*p(q)?
442*q + 4
Let y(n) = -n**2 + 42*n + 90. Let x be y(44). Let l(t) = t**2 - 5*t**3 - 2 - 10 - 6*t + 20 - 6*t**x. Let i(m) = -m**3 - m + 1. Determine -6*i(p) + l(p).
p**3 - 5*p**2 + 2
Let p = -12860 + 12864. Let o(s) = 6*s + 16. Let q(l) = -5*l - 15. What is p*q(g) + 3*o(g)?
-2*g - 12
Let g(f) = -8*f**2 + 2*f + 10*f - 18*f. Let k be 0 + 2 + (-16 - -21). Let o(m) = -9*m**2 - 7*m. Give k*g(d) - 6*o(d).
-2*d**2
Let t(w) = 2*w - 19. Let g(l) = 8*l - 77. Suppose 281*p + 5*a = 278*p + 37, 3*a - 33 = -3*p. What is p*t(u) - 2*g(u)?
2*u - 17
Let f(j) = -2*j + 8. Let u = -5148 + 5144. Let v(y) = -y + 9. Calculate u*f(l) + 5*v(l).
3*l + 13
Let h(c) = -c**3 + 2*c**2 - c - 11. Let q(x) = -12*x + 12 - 4906*x**3 - 6*x**2 + 3*x**2 + 4907*x**3 + 13*x. What is -4*h(o) - 3*q(o)?
o**3 + o**2 + o + 8
Let a(g) be the third derivative of -1/6*g**4 + 0*g**3 + 7/120*g**6 - 1/30*g**5 - 6 - 2*g**2 + 0*g. Let n(r) = -8*r**3 + 2*r**2 + 5*r. Give 4*a(x) + 3*n(x).
4*x**3 - 2*x**2 - x
Let o(n) = n**3 - 10*n**2. Let w(z) = -13*z**2 + 39. Determine 2*o(t) - w(t).
2*t**3 - 7*t**2 - 39
Let d(j) = -59*j**2 - 4*j - 8. Let i(n) = 7*n**2 - n. What is d(m) - 5*i(m)?
-94*m**2 + m - 8
Let w(b) = -16*b**2 - 17*b - 153. Let g(i) = -2*i**2 - 3*i + 1. What is -6*g(s) + w(s)?
-4*s**2 + s - 159
Let a(z) = -4*z**2 + 6*z - 6. Let p(s) = 5*s - 3*s**2 + 17 + 23 - 83 + 15 + 23. Determine -4*a(o) + 5*p(o).
o**2 + o - 1
Let n(f) be the second derivative of 7*f**4/12 - 2*f**2 + 39*f + 1. Let t(x) = -15*x**2 + 9. Let v be 1*(-3 + 1 + 7). Determine v*n(q) + 2*t(q).
5*q**2 - 2
Let a(t) = 192*t**3 - 94*t - 20. Let m(s) = -69*s**3 + 32*s + 7. Calculate -6*a(p) - 17*m(p).
21*p**3 + 20*p + 1
Let m(p) = -3*p - 17. Suppose 3*n - 27 = -5*t + 2*t, -5*t = -5*n - 85. Let g(d) = 2 + 9 + 12 - 36 - d + 5. Determine t*g(a) - 6*m(a).
5*a - 2
Let z(l) = 53*l**3 + 215*l + 64. Let g(x) = 16*x**3 + 72*x + 21. Determine -10*g(k) + 3*z(k).
-k**3 - 75*k - 18
Let z(j) = 111*j**3 - 40*j**2 + 2*j + 5. Let h(k) = -110*k**3 + 48*k**2 - 3*k - 6. Give 5*h(w) + 6*z(w).
116*w**3 - 3*w
Let v be (-2)/(-2)*10*34/(-85). Let j(z) = 33*z**2 + 4*z - 4. Let m(l) = -296*l**2 - 37*l + 37. Give v*m(k) - 37*j(k).
-37*k**2
Let a(s) = 6*s - 1. Let y(n) = -n. Suppose -15*b + 19*b - 1984 = 0. Suppose -t + b - 499 = 0. Determine t*y(r) - a(r).
-3*r + 1
Let x(i) = 261*i. Let c(r) = -13*r. Let y be (171/(-285))/((-12)/80). What is y*x(l) + 81*c(l)?
-9*l
Let x(m) = 5*m**2 - 79*m - 1. Let t(b) = -b**2 + 5*b - 1. Calculate -6*t(y) - x(y).
y**2 + 49*y + 7
Let z(y) = -12*y - 100. Let f(u) = u + 6. What is 10*f(t) + z(t)?
-2*t - 40
Suppose -26*y + 298 - 272 = 0. Let n(z) = z - 1. Let s(u) = 3*u - 14. What is y*s(p) - 4*n(p)?
-p - 10
Let c(v) = -v + 1. Let d(i) = -21*i - 1093. Let t be d(-52). Let h(z) = -17*z - 1. Determine t*h(b) - 3*c(b).
20*b - 2
Let k(g) = 71*g**2 + 11*g. Let t(j) = 12*j**2 + 2*j. Let h(b) = -k(b) + 6*t(b). Let l(d) = 30*d**3 - 20*d**2 - 20*d. Give 20*h(v) + l(v).
30*v**3
Suppose -3*l + 2*a = 3, -20 = -5*l + 4*a - 21. Let w(z) = 7*z**3 - 2*z**2 - 2*z + 1. Let m(j) = 14*j**3 - 4*j**2 - 5*j + 3. Give l*w(p) + 2*m(p).
-7*p**3 + 2*p**2 + 1
Let i(n) = -22*n**2 + 42*n - 25. Let o(y) = -24*y**2 + 39*y - 23. Let p(t) = 13*i(t) - 14*o(t). Let w(x) = -x**2 + 1. Determine -p(q) - 3*w(q).
-47*q**2
Let b(u) = -8723*u**2 + 24*u + 3. Let l(s) = 34891*s**2 - 104*s - 13. What is -13*b(g) - 3*l(g)?
8726*g**2
Let t(f) = -205*f**2 - 8. Let n(a) = 210*a**2 + 6. What is 4*n(w) + 3*t(w)?
225*w**2
Let m(j) be the second derivative of -j**3/6 + 3*j**2 - j. Let w be -13*20/3770 + 336/(-174). Let l(f) = 5*f - 30. Determine w*l(b) - 11*m(b).
b - 6
Let n(b) = -55*b**2 - 10*b + 33. Let c(o) = 101*o**2 + 19*o - 64. Calculate -6*c(a) - 11*n(a).
-a**2 - 4*a + 21
Let h(y) = y**3 - y - 1. Let g be (-4 + 7)/1 - -6. Let t(q) = -5*q**3 - 7*q**2 + 4 + g*q**2 + 69*q - 66*q. Determine 4*h(k) + t(k).
-k**3 + 2*k**2 - k
Suppose -48 = -8*j - 0*j. Let l = 7 - j. Let h(i) = 2*i**3 + 2*i**2 - 3. Let z(o) be the first derivative of o**4/4 + o**3/3 - o + 59. Give l*h(m) - 3*z(m).
-m**3 - m**2
Let s(m) = -m**2 - 36*m - 316. Let c be s(-15). Let t(d) = -d**3 + d. Suppose 4*a + 2*a - 6 = 0. Let o(x) = -2*x**3 - x. Calculate a*o(l) + c*t(l).
-l**3 - 2*l
Let l(w) = 9*w + 5193. Let j(r) = 23*r + 10390. Give 2*j(u) - 5*l(u).
u - 5185
Let k be (-6050)/462 + 13 - (-24020)/(-42). Let z(d) = 1804*d**2 - 286*d + 286. Let c(f) = 19*f**2 - 3*f + 3. Determine k*c(j) + 6*z(j).
-44*j**2
Let k(s) = 17*s**3 + 13*s**2 + 2*s - 123. Let r(w) = -3*w**3 - 2*w**2 + 1. Give k(q) + 6*r(q).
-q**3 + q**2 + 2*q - 117
Let m(j) = -179*j**3 - 7*j**2 + 11*j + 43. Let s(y) = -359*y**3 - 14*y**2 + 25*y + 101. Determine 7*m(a) - 3*s(a).
-176*a**3 - 7*a**2 + 2*a - 2
Suppose -31*s + 696 = 56*s. Let f(h) = 4*h**2 + 3. Let q(r) = -11*r**2 - 8. Let w = 6 - 4. Suppose w*j + 6 = 4*j. Give j*q(m) + s*f(m).
-m**2
Let q(s) = -11*s - 9. Let u(b) = 6*b + 9. What is -5*q(w) - 6*u(w)?
19*w - 9
Let g(s) = 5*s**3 - 58*s**2 - 2*s - 26. Let r(h) = h**3 - 7*h**2 - h. What is g(w) - 4*r(w)?
w**3 - 30*w**2 + 2*w - 26
Let r(n) = -648*n - 2673. Let y(x) = 3. Determine -4*r(l) - 3564*y(l).
2592*l
Let f = 12924 + -12919. Let d(x) = 3*x**3 - 8*x**2 - 107*x + 2. Let s(q) = 2*q**3 - 5*q**2 - 71*q + 1. What is f*d(g) - 8*s(g)?
-g**3 + 33*g + 2
Let z(c) = -92*c - 822. Let n be z(-9). Let w(r) = 9*r**2 - 9. Let b(q) = 5*q**2 - 5. Give n*w(j) - 10*b(j).
4*j**2 - 4
Let f(t) = -1 + 7*t**2 + 11*t**2 - 19*t**2 + 1. Let v(j) = -4*j**2 - 1. Let z(p) = 9*p**3 + 2*p**2 + p - 1. Let g be z(-1). Calculate g*f(d) + 2*v(d).
d**2 - 2
Let d(y) = 124 - y - 66 - 59. Let c(v) = 3*v**2 + 4. Let t(g) = -4*g**2 + g - 5. Suppose 4*s - 6 - 2 = 0. Let z(l) = s*t(l) + 3*c(l). What is -3*d(k) - z(k)?
-k**2 + k + 1
Let x(y) = 67784*y**2 - 135555*y**2 + 16*y + 67783*y**2. Let g(s) = s**2 + s. Determine -80*g(p) + 5*x(p).
-20*p**2
Let u(o) = -1. Let v(s) = -1. Let g(t) = 4*u(t) - 3*v(t). Let h = -341 + 335. Let f(z) be the third derivative of z**4/24 - z**3 + z**2. What is h*g(r) + f(r)?
r
Let n(u) = -7*u**2 - 6*u + 6. Suppose 3*w = -3*i, 3*i = 4*w - 5*w. Suppose w = 10*t + 2*t + 72. Let c(r) = 8*r**2 + 7*r - 7. Calculate t*c(f) - 7*n(f).
f**2
Let x(p) = 3*p**2 - p - 5. Let q(a) = -1. Let c(v) = v**2 + 18*v - 43. Let b be c(-20). Give b*q(o) + x(o).
3*o**2 - o - 2
Let y(c) = 3*c**2 + 4*c - 5. Let r(l) = 3*l**2 + 4*l - 6. Suppose 13*b - 10*b = 3*t - 24, -4*b = -2*t + 26. What is b*y(m) + 4*r(m)?
-3*m**2 - 4*m + 1
Let v(k) = -1. Suppose -12*s + 10*s = 8. Let w(q) = 3*q**2 - 5. Let r(m) = 49*m + 1373. Let t be r(-28). Calculate s*v(d) + t*w(d).
3*d**2 - 1
Let s(w) be the third derivative of 29*w**6/120 + w**5/12 + 953*w**2. Let o(v) = 1015*v**3 + 174*v**2. What is 5*o(y) - 174*s(y)?
29*y**3
Let b(n) = -30*n**3 - n**2 + 5*n - 5. Suppose 64*h - 3227 = -3035. Let j(k) = 15*k**3 + k**2 - 3*k + 3. Calculate h*b(u) + 5*j(u).
-15*u**3 + 2*u**2
Let w(i) = -12*i**3 + 2*i**2 - 5*i - 2. Let m(t) = -7*t**3 + t**2 - 3*t - 1. Let u(y) = -5*m(y) + 3*w(y). Let q(c) = 16*c**3 - 2*c**2 + 1. Give q(v) + 2*u(v).
14*v**3 - 1
Let f(x) = x**3 - 2*x + 1. Let j(y) = -162*y**3 - y + 1. What is f(r) - j(r)?
163*r**3 - r
Let q(s) = -6*s**2 - 79*s + 12. Let h(j) = -5*j**2 - 79*j + 10. What is -7*h(k) + 6*q(k)?
-k**2 + 79*k + 2
Let p(m) = m**2 + 13*m - 2. Let q(k) = 7*k - 4. Let t = 202 + -205. Let i(y) = -8*y + 5. Let h(c) = t*i(c) - 4*q(c). Calculate -7*h(w) - 2*p(w).
-2*w**2 + 2*w - 3
Let t(b) = -7*b**2 + 12*b + 9. Let w(g) = g**2 - 2*g - 1. Give -t(q) - 4*w(q).
3*q**2 - 4*q - 5
Let x(v) = -2*v - 1. Let p = -3162 - -3164. Let j(w) = w**2 + w - 2. Let i(y) = 3*y**2 + y - 5. Let c(d) = 2*i(d) - 5*j(d). Calculate p*c(f) - 3*x(f).
2*f**2 + 3
Let a(m) = -8*m**2 + 4*m - 6. Let b be (-624)/117 - (-1)/3. Let f(w) = -9*w**2 + 5*w - 7. Calculate b*f(o) + 6*a(o).
-3*o**2 - o - 1
Let w(r) = 17*r**3 - 17*r + 