02. What is 6*b(d) + 37*y(d)?
3*d - 143
Let s(h) = h**3 - h**2 + h - 1. Let f be ((-12)/(-7))/(4/14). Let d(w) = 5*w**3 + 2*w**2 - 3*w + 3. What is f*s(u) + 2*d(u)?
16*u**3 - 2*u**2
Suppose 144 = 11*j - 15*j. Let a be 36/15*120/j. Let r(w) = 2*w**3 - w**2 - w - 3. Let u(b) = 6*b**3 - 3*b**2 - 2*b - 8. What is a*r(i) + 3*u(i)?
2*i**3 - i**2 + 2*i
Let o(z) = 6*z - 10. Let w(r) be the second derivative of r**3 - 6*r**2 - 82*r. Let h(y) = 3*o(y) - 2*w(y). Let k(v) = v**2 + v - 1. Give -h(i) + 6*k(i).
6*i**2
Let s(f) = -f**3 - 5*f**2 - 2. Let y(m) be the first derivative of -m**3/3 - m + 2208. Calculate s(j) - y(j).
-j**3 - 4*j**2 - 1
Let p(d) = d**3 + d**2 - d. Let v(j) be the first derivative of j**4/2 - 2*j**3/3 - j**2/2 + 3672. What is -p(h) + v(h)?
h**3 - 3*h**2
Let v(f) = 433*f**2 - 433*f + 1732. Let m(s) = -s**3 - s**2 + s - 4. What is 433*m(j) + v(j)?
-433*j**3
Let t(c) = -c**2 + 7. Suppose 4*n - n = -2*d - 511, 4*d = 4*n - 1072. Let s = d - -269. Let y(o) = -1. What is s*y(g) + t(g)?
-g**2 + 1
Let y(p) = 3*p**3 + 4*p**2 + 7*p. Suppose 22*v - 20 = 20*v - 5*z, -14 = 4*v + z. Let m(j) = 2*j**3 + 5*j**2 + 8*j. Determine v*m(n) + 6*y(n).
8*n**3 - n**2 + 2*n
Let o(f) = 31*f - 1341. Let c(n) = -140*n + 5363. Determine -2*c(u) - 9*o(u).
u + 1343
Let a(c) be the third derivative of -30*c**2 + 0 - 1/4*c**4 + 0*c + 1/3*c**3. Let h(m) = -m - 1. Determine a(l) + 2*h(l).
-8*l
Let b(x) = -2345*x**3 + 6*x**2 - 8*x - 32. Let z(m) = -4688*m**3 + 13*m**2 - 17*m - 69. Calculate -13*b(r) + 6*z(r).
2357*r**3 + 2*r + 2
Let t(z) = 39*z**2 + 6*z + 127. Let x(b) = -71*b**2 - 11*b - 255. Determine 11*t(c) + 6*x(c).
3*c**2 - 133
Let f(p) = p**2 + 11*p + 1. Let m(o) = -16*o**2 + 45*o + 1. What is 4*f(k) - m(k)?
20*k**2 - k + 3
Let x(o) = o**3 + o**2 + o + 1. Let l(p) = 6*p**3 + 3*p**2 + 4*p - 11. Calculate -l(y) + x(y).
-5*y**3 - 2*y**2 - 3*y + 12
Let p(f) = -7*f**2 - 98*f - 28. Let n(t) = -13*t**2 - 196*t - 47. Calculate 3*n(b) - 5*p(b).
-4*b**2 - 98*b - 1
Let u(f) = -10*f - 5. Let c(t) = -t**2 + 4*t + 70. Let q be c(-12). Let k = -128 - q. Let j(d) = 11*d + 6. What is k*j(a) - 7*u(a)?
4*a - 1
Suppose 11*d - 49 = 4*d. Suppose -d*g = -116 - 206. Suppose -g*z + 45*z + 1 = 0. Let w(q) = -q**3 + 5*q**2 - 3. Let m(n) = n**2 - 1. Give z*w(r) - 5*m(r).
-r**3 + 2
Let m(n) = -4*n**2 + 9*n + 9. Let p(i) = i**3 + 43*i**2 - 2*i - 60. Let g be p(-43). Let v(z) = -z**2 + 2*z + 2. Determine g*v(c) - 6*m(c).
-2*c**2 - 2*c - 2
Let p(x) = 3*x**3 - 4*x - 1. Let z(w) = w**3 - 4*w**2 - 7*w + 5. Let l(m) = -3*m**2 - 4*m + 4. Let o(b) = 4*l(b) - 3*z(b). Calculate 4*o(s) + 5*p(s).
3*s**3 - 1
Let h(b) = 194*b + 35. Let z(l) = l + 17. Give 3*h(o) - 6*z(o).
576*o + 3
Suppose 2*f + 8 + 13 = -3*h, 2*h - f + 14 = 0. Let c(w) = -w + 1. Let a(k) = -k + 1. Suppose 3*b = 3*d + 89 - 74, -3*b - 5*d + 23 = 0. What is b*a(u) + h*c(u)?
u - 1
Let v(y) = 2*y**3 - 16*y**2 - 1525*y - 2. Let a(b) = -b**3 + 10*b**2 + 1017*b + 1. Give 8*a(m) + 5*v(m).
2*m**3 + 511*m - 2
Let s(l) = 12*l**3 + 496*l**2 + 30*l - 31. Let y(f) = f**3 + f**2 + 5*f - 5. What is s(r) - 6*y(r)?
6*r**3 + 490*r**2 - 1
Let o(s) = -2*s + 22. Let x(j) = -18*j + 1248. What is 10*o(r) - x(r)?
-2*r - 1028
Let t be (20/(-260))/(20/(-260)). Let k(u) = -14*u - 5. Let h(j) = 1. Calculate t*k(c) + 4*h(c).
-14*c - 1
Suppose -8*q + 1 = -7*q. Suppose i + i - 3 = -h, -4*i = 3*h + q. Let d(a) = 104*a - 7 - 91*a - 2. Let p(z) = 7*z - 5. Give h*p(m) + 4*d(m).
3*m - 1
Let x(k) = k**3 - 4*k**2 - 2. Let m(n) = 3*n**3 + 43*n**2 - 16*n**2 + 5 - n - 18*n**2 - 4*n**3. What is 2*m(c) + 5*x(c)?
3*c**3 - 2*c**2 - 2*c
Let b(l) = -22*l + 7. Let v(p) = -463*p + 929. Let z be v(2). Let n(w) = 11*w - 3. Determine z*b(a) + 7*n(a).
11*a
Suppose -11*p - 747 = -5*b - 14*p, 0 = b + p - 151. Let y(o) = 76 + 75 - b + 2*o. Let j(t) = 1. Calculate 3*j(c) - y(c).
-2*c - 1
Suppose 100 = -19*l + 52*l + 1. Let x(n) = 3*n**3 - 5*n**2 - 12*n + 5. Let c(g) = g**3 - 3*g**2 - 6*g + 3. Give l*x(t) - 5*c(t).
4*t**3 - 6*t
Let l(g) = 2*g**3 - 213*g**2 + 7*g - 16. Let p(s) = -s**3 + 213*s**2 - 8*s + 12. Calculate -3*l(q) - 4*p(q).
-2*q**3 - 213*q**2 + 11*q
Let c(b) = -3*b**2 - 6. Let l(s) = 11*s**3 + 2*s**2 + 3*s + 1. Let u be l(-1). Let n(j) = -9 + 24 + 7*j**2 - 4. Calculate u*c(m) - 6*n(m).
-9*m**2
Let x be ((-2744)/21)/(-14)*6/8. Suppose 0 = -4*b + x*j - 4*j + 33, 15 = 2*b - j. Let z(i) = 2*i + 7. Let w(n) = 3 + 5*n + 3 - 4*n. Calculate b*w(q) - 5*z(q).
-4*q + 1
Let f(n) = -6*n + 17. Let m be f(-3). Suppose m - 11 = -4*y. Let h(l) = 6*l - 4. Let z(x) = -3*x + 2. What is y*h(q) - 11*z(q)?
-3*q + 2
Let k(b) = -317*b + 30. Let f(y) = -159*y + 13. Calculate 9*f(t) - 4*k(t).
-163*t - 3
Let c(l) = -3*l**3 - 6*l**2 + 9*l - 7. Let h be (35/63)/((-75)/(-810)). Let d(p) = p**2 - p + 1. What is h*d(m) + c(m)?
-3*m**3 + 3*m - 1
Let h(y) = 34*y. Let r(j) = 259*j + 20*j - 272*j. Let f = -34 - -50. Calculate f*r(g) - 3*h(g).
10*g
Let z(m) be the first derivative of -1003*m**2 - 119*m + 1370. Let d(w) = -34*w - 2. Calculate 119*d(n) - 2*z(n).
-34*n
Let h(x) = 253*x - 17. Let q(m) = -126*m + 9. Give -4*h(r) - 7*q(r).
-130*r + 5
Let r(v) be the first derivative of -v**2/2 + 5*v - 827. Let q(m) = 6 + 0 - 1 - 4. Calculate -6*q(n) + r(n).
-n - 1
Let i(p) = 16*p**3 - 3*p**2 + 11*p - 6. Let l(t) = 65*t**3 - 12*t**2 + 48*t - 23. Give 9*i(c) - 2*l(c).
14*c**3 - 3*c**2 + 3*c - 8
Let k(n) = 2*n**2 + 6*n - 6. Let a(l) = -l + 1. Let r = 2019 - 2013. What is r*a(f) + k(f)?
2*f**2
Let d(g) = 14*g + 6295. Let c(z) = -22*z - 9425. Determine -5*c(s) - 8*d(s).
-2*s - 3235
Let z be (-5)/(-2)*(5 + (-102)/30). Let l(h) = -2*h - 3*h**2 - 4*h - z*h**2 - h**2. Let n(v) = -15*v**2 - 11*v. What is 11*l(w) - 6*n(w)?
2*w**2
Let z(b) = 26*b**3 + 16*b + 29. Let u(i) = -i**3 - i - 2. Give 38*u(v) + 2*z(v).
14*v**3 - 6*v - 18
Let c(x) = 4*x**3 - 5*x + 3. Suppose 19*k + 196 = -78*k - k. Let i(g) = -4*g**3 - g**2 + 4*g - 2. Calculate k*c(n) - 3*i(n).
4*n**3 + 3*n**2 - 2*n
Let k(p) = -5*p**3 + 25*p**2 + 3*p - 4. Let v(x) = -6*x**3 + 26*x**2 + 4*x - 3. What is -4*k(q) + 3*v(q)?
2*q**3 - 22*q**2 + 7
Let h(i) = -6*i**3 - 3*i**2 - 4*i - 5. Let g(x) be the first derivative of -x**4/4 - x**3/3 - x**2/2 - x - 1809. Calculate 5*g(f) - h(f).
f**3 - 2*f**2 - f
Let m(n) = -440*n - 72. Let k(h) = 2*h - 1. Calculate 72*k(t) - m(t).
584*t
Let f(l) = -97*l - 3. Let k(y) = -97*y - 2. Determine -5*f(g) + 6*k(g).
-97*g + 3
Let i(k) = 252*k. Let d(j) = 83*j. Give -17*d(o) + 6*i(o).
101*o
Let k(m) = m**2 + m. Let j be 6 + 68/(-119)*14. Let z(s) = 3*s**3 - 2*s**2 - 2*s - 3. What is j*k(i) - z(i)?
-3*i**3 + 3
Let y(t) = -2*t - 2. Let x(v) = -12752*v - 9564. Calculate x(j) - 4782*y(j).
-3188*j
Let n(o) = 940*o**2 + 53*o + 2. Let y(w) = 1880*w**2 + 116*w + 4. Give -13*n(g) + 6*y(g).
-940*g**2 + 7*g - 2
Let t(v) = 278*v**2 + 38*v + 8. Let c(f) = 140*f**2 + 20*f + 5. What is 5*c(d) - 3*t(d)?
-134*d**2 - 14*d + 1
Let b(m) = 19833*m**2 - 39665*m**2 + 19833*m**2 + 25*m**3 + m. Let r(v) = 12*v**3. What is -2*b(l) + 5*r(l)?
10*l**3 - 2*l**2 - 2*l
Let n(v) = 7*v - 254. Let j(u) = -6*u + 275. What is 6*j(w) + 5*n(w)?
-w + 380
Let t(s) = -30*s**3 - 16*s. Let g(u) = -10*u**3 - 5*u. Suppose 8 = 4*r - 2*x, -18*r = -23*r - 5*x + 55. Give r*t(w) - 16*g(w).
10*w**3
Let m(d) = -8*d**3 - 16*d + 4. Let k(c) = -7*c**3 - 10*c + 4. Give 6*k(y) - 5*m(y).
-2*y**3 + 20*y + 4
Let g(z) = 2*z - 2. Let h = 77 - 71. Suppose 12 + h = 9*x. Suppose 5*p - 23 = -2*a - 6, -5*p + 33 = -x*a. Let r(v) = -v + 1. Determine a*g(y) - 6*r(y).
-2*y + 2
Let g(m) = -40*m + 8. Let y(a) = 117*a - 18. Calculate -17*g(t) - 6*y(t).
-22*t - 28
Let l(p) = 1126*p - 12. Let z(a) = -2*a - 1. Determine l(u) - 12*z(u).
1150*u
Let i(k) = 3*k**3 + 17*k**2 + 14*k - 2. Suppose -4*n = 28, -5*z - 816*n - 5 = -811*n. Let g(x) = -x**3 - 6*x**2 - 5*x + 1. Calculate z*i(u) + 17*g(u).
u**3 - u + 5
Let z(s) = -189*s + 77. Let m(j) = -5*j + 2. Let i be ((-42)/(-24))/(2 - -178*(-1)/88). What is i*m(t) + 2*z(t)?
7*t
Let m(f) = 2 + 57*f - 11 - 1 - 61*f - 4. Let g(c) = 3*c + 13. Determine -6*g(q) - 5*m(q).
2*q - 8
Let z(w) be the first derivative of -w**3/2 - 2*w**2 - 11*w - 57. Let a(r) be the first derivative of z(r). Let v(h) = 2*h + 3. Calculate 4*a(p) + 5*v(p).
-2*p - 1
Let z(k) = -1903*k**3 + 6*k**2 + 6. Let m(b) = -38060*b**3 + 1