. Determine 8*p(d) + 5*w(d).
1143*d**2 - d
Let q(r) = 20*r + 22. Let v(i) be the first derivative of i + 15. Give -2*q(d) + 44*v(d).
-40*d
Let h(u) = -21973429*u**3 + 28143*u**2 - 28143*u. Let f(v) = -3123*v**3 + 4*v**2 - 4*v. What is -28143*f(c) + 4*h(c)?
-3127*c**3
Let g(b) = -146*b**3 + b**2 - 12. Let y(j) = -145*j**3 + j**2 + j - 9. Give 3*g(i) - 4*y(i).
142*i**3 - i**2 - 4*i
Let g(h) = -109088*h. Let o(k) = 10909*k. Determine 2*g(s) + 21*o(s).
10913*s
Let h(n) = 67*n**3 - n**2 + 12*n - 2. Let q(g) = -g**3 - g**2 + 3*g. Give h(d) - 4*q(d).
71*d**3 + 3*d**2 - 2
Let q be 175/100 - (-12)/32*-18. Let g(w) be the second derivative of -3*w**5/20 - w**3/2 + w**2/2 + 4*w. Let c(b) = -b**3 - b. What is q*c(m) + g(m)?
2*m**3 + 2*m + 1
Let h(p) = -p**3 - p**2 + 3*p + 3. Suppose -3*r + 8*r = 10. Let o(i) = -4 - 1 + 43*i**2 + 0 - 42*i**r + 4 - i. What is -h(b) - 3*o(b)?
b**3 - 2*b**2
Let o(n) = -22*n**2 - 2*n - 2. Let j(x) = x. Suppose p - 8 = -5*f, -40*p = 4*f - 44*p + 8. Give f*o(s) + 2*j(s).
-22*s**2 - 2
Let t(g) = -90*g**2 - 27*g. Let v(u) be the third derivative of -7*u**5/60 - u**4/12 + 690*u**2. Determine 2*t(s) - 27*v(s).
9*s**2
Let w(r) = 5*r**3 + r**2 + 4*r + 6. Suppose 11*d = -9*d + 40. Suppose 24 + d = -2*p. Let z(x) = -11*x**3 - 2*x**2 - 9*x - 13. What is p*w(g) - 6*z(g)?
g**3 - g**2 + 2*g
Let x(q) = q**2 + 5*q - 5. Let f = -444 - -433. Let r(k) = -2*k**2 - 14*k + 14. What is f*x(h) - 4*r(h)?
-3*h**2 + h - 1
Let d(m) = 4*m**2 + 3*m. Suppose 15 = -j - 2*c + 8, -2*j + 5*c = -31. Let q(y) be the second derivative of y**4/4 + y**3/3 + 109*y - 1. What is j*q(u) - 2*d(u)?
u**2
Let j(w) = 4*w**2 - 8*w + 7. Let u(o) = -4*o**2 + 7*o - 6. Suppose 30*n = 26*n + s - 26, -8 = 3*n + 5*s. What is n*u(y) - 5*j(y)?
4*y**2 - 2*y + 1
Let a(u) = 178*u + 51. Let f(g) = -266*g - 74. What is 7*a(n) + 5*f(n)?
-84*n - 13
Let b(f) = 38*f**2 + 2*f - 3. Let j = 38287 - 38284. Let c(h) = 77*h**2 + 4*h - 7. What is j*c(z) - 7*b(z)?
-35*z**2 - 2*z
Let h(b) = 26*b + 397. Let v(u) = 10*u + 198. Calculate -2*h(m) + 5*v(m).
-2*m + 196
Let q(k) = 5*k**2 - 14*k - 1. Suppose 2*z + 18 - 9 = -3*j, 2*z - 1 = -j. Let n(t) = 6*t**2 - 15*t - 1. Calculate z*n(d) - 4*q(d).
-2*d**2 + 11*d + 1
Let t(v) = 5*v**2 - 4*v. Suppose 3*r + 3 = 3*b, 5*r = b - 10 + 29. Let f be 2*3/(-12)*(2 + b). Let i(c) = 6*c**2 - 5*c. Calculate f*i(n) + 5*t(n).
n**2
Let y(b) = 1. Let x be ((-2)/(-2))/((-6)/18*-1). Let z(s) = -s - 2. Let n(q) = 2*q + 5. Let v(c) = x*n(c) + 8*z(c). Calculate v(a) + 2*y(a).
-2*a + 1
Let f(v) = 3*v - 83 - 2*v - 2*v + 83 - 87342*v**3 + 87343*v**3. Let g(r) = -5*r**3 + 4*r - 2. Let s be (-3)/12 - (-5)/4. What is s*g(o) + 6*f(o)?
o**3 - 2*o - 2
Let r(v) = 13*v**2 + 209*v - 4. Let x(g) = -7*g**2 - 109*g + 1. Give -4*r(f) - 7*x(f).
-3*f**2 - 73*f + 9
Let o(d) = -4*d**2 + d + 3. Let h(t) = 4*t**2 - t - 4. Suppose -4*j - 14 = 2*l, 8*j - 7*l + 5 = 4*j. Determine j*h(a) - 4*o(a).
4*a**2 - a
Let m(j) = -5*j**3 + 164*j**2 - j - 16. Let h(o) = 15*o**3 - 491*o**2 + 3*o + 44. Calculate 4*h(c) + 11*m(c).
5*c**3 - 160*c**2 + c
Let m(t) = 325037*t**3 - 1118*t**2 - 1677*t + 559. Let q(a) = -1165*a**3 + 4*a**2 + 6*a - 2. What is -2*m(y) - 559*q(y)?
1161*y**3
Let d(u) = -u**2 + u - 1. Suppose 0 = 47*p - 268*p - 1326. Let r(v) = 2*v**3 + v**2 + 5*v - 6. Determine p*d(x) + r(x).
2*x**3 + 7*x**2 - x
Let g be (4/5)/(188/235). Let b(k) = -k - 5. Let v(s) = -s. Calculate g*b(t) - 3*v(t).
2*t - 5
Let s(v) = 9*v**2 + 5. Let u be 6/4*(-1096)/(-6). Let d = u + -269. Let r(i) = -2 - 2*i**2 - 2*i**2 + 0*i**2. What is d*r(b) + 2*s(b)?
-2*b**2
Let i(c) = 9*c - 20. Let a(p) = -6*p + 14. Let r(z) = 7*a(z) + 5*i(z). Let n(m) = -2*m - 7 - 2*m + 13*m + 1. Calculate -6*n(b) + 17*r(b).
-3*b + 2
Let m(l) = l + 2 - 2 - 1. Let u(k) = -k**2 - 7*k + 6. Let o = 25311 - 25317. Determine o*m(x) - u(x).
x**2 + x
Let q(p) = 492*p - 3 + 472*p + 1 - 972*p. Let f(h) be the second derivative of -7*h**3/6 - h**2 + h. Give -7*f(d) + 6*q(d).
d + 2
Let b(x) be the second derivative of x**3/2 + x**2 - 2*x - 97. Let k(g) = -6*g - 5. Determine -13*b(u) - 6*k(u).
-3*u + 4
Let w(o) = -o**2 + 28*o - 116. Let b be w(23). Let d(k) = k - 18. Let g be d(12). Let y(v) = 3*v + 7. Let s(u) = -u - 1. Calculate b*y(j) + g*s(j).
3*j - 1
Let p(m) be the first derivative of 3*m**2 + 10*m - 7046. Let h(b) = -7*b - 11. Determine -3*h(t) - 4*p(t).
-3*t - 7
Let a(w) = 8*w + 5. Let t be (21 - 78/4)/((-3)/16). Let q(u) = 12*u + 8. Give t*a(r) + 5*q(r).
-4*r
Let z(m) = 9*m + 15. Let a be 9*(-18)/648*(-5)/(30/16). Let o(l) be the second derivative of 0 - a*l**3 + 6*l - 7/2*l**2. Give -13*o(f) - 6*z(f).
-2*f + 1
Let c(g) = 2*g**2 - 4*g + 7. Let d = -22115 - -22110. Let p(l) = -3*l**2 + 2*l - 7. Let y(f) = f - 1. Let k(z) = p(z) + 4*y(z). Calculate d*k(i) - 8*c(i).
-i**2 + 2*i - 1
Let h(n) = 3*n**3 - 3*n**2 - 3*n - 3. Let g(t) = 6*t**3 - 5*t**2 - 5*t - 5. Suppose 0 = 2*d + 5*s - 20, 39*s = 3*d + 36*s + 33. Calculate d*h(j) + 3*g(j).
3*j**3
Let q(g) be the second derivative of -g**4/2 - 17*g**2/2 + 80*g - 2. Let m(a) = -7*a**2 - 17. What is 5*m(t) - 6*q(t)?
t**2 + 17
Let w(p) = -13*p - 3. Let r(a) = a. Let q(g) = -2*r(g) - w(g). Let t be (-72)/(-24 + -48) + -41 + 0. Let m(f) = -144*f - 40. Calculate t*q(d) - 3*m(d).
-8*d
Let s(g) = -54*g + 1882. Let i(h) = 13*h - 478. Determine 9*i(u) + 2*s(u).
9*u - 538
Let a(q) = -8*q + 2. Let y(w) = -3*w**2 + 102*w - 21. Let x(m) = 13*a(m) + y(m). Let i(n) = 4*n**2 + n - 4. Give -3*i(p) - 2*x(p).
-6*p**2 + p + 2
Let y(a) = -15*a**2 + 5*a. Suppose 1 + 20 = -3*g. Let s(h) = 32*h + 6*h - 31*h - 22*h**2. Calculate g*y(p) + 5*s(p).
-5*p**2
Let m(a) = -7*a**3 + 12*a**2 + 283*a - 10. Let j(i) = 8*i**3 - 15*i**2 - 284*i + 12. Determine 5*j(x) + 6*m(x).
-2*x**3 - 3*x**2 + 278*x
Let u(i) be the second derivative of 11*i**3/2 + 17*i**2/2 + 445*i. Let t(w) = 1. Let p(b) = 4*b - 10. Let j(l) = p(l) + 12*t(l). Calculate -51*j(g) + 6*u(g).
-6*g
Let b(p) = p**2 + 34*p - 546. Let c be b(12). Let t(f) = -4*f - 10. Let h(u) = 23*u + 60. Give c*h(d) + 34*t(d).
2*d + 20
Let q(c) = -6*c - 9. Let o(b) = 214*b - 203*b + 12 - 2 + 4 + 5. What is 6*o(k) + 13*q(k)?
-12*k - 3
Let l(a) = -6*a - 1. Let h(y) = 52*y - 2. Calculate -3*h(o) - 24*l(o).
-12*o + 30
Let h(u) be the third derivative of -u**6/60 - u**5/60 + u**4/12 - 1166*u**2. Let y(v) = -6*v**3 - 2*v**2 + 6*v. Suppose 9 = 8*b - 23. Give b*y(j) - 11*h(j).
-2*j**3 + 3*j**2 + 2*j
Let y(s) = -49720*s**2 + 64*s + 80. Let b(q) = 9944*q**2 - 12*q - 15. Determine 16*b(c) + 3*y(c).
9944*c**2
Suppose 16*a - 13*a = 6. Suppose 2*d + 5*f = 14, a*f - 4 = -0. Let t(i) = -7 + 8 - d. Let j(x) = -2*x. Give -j(k) - t(k).
2*k + 1
Let j(s) = -4*s - 513. Let y(u) = -3*u + 2. Determine -j(f) + 2*y(f).
-2*f + 517
Let y(h) = 37*h + 449. Let r(s) = -23*s - 447. Give -3*r(x) - 2*y(x).
-5*x + 443
Let j(q) = -12*q + 2. Let l(f) = 48*f - 518. Let g(m) = 12*m - 138. Let a(k) = -15*g(k) + 4*l(k). What is 2*a(h) + 3*j(h)?
-12*h + 2
Let d(b) = 5*b - 5*b + 7*b - 6*b + 8. Let f(s) = 9. Let v(h) = -6. Let p(w) = 3*f(w) + 5*v(w). Give -2*d(y) - 7*p(y).
-2*y + 5
Let b(u) = 37*u - 218. Let s(q) = -12*q + 70. What is 2*b(i) + 7*s(i)?
-10*i + 54
Let k(m) = -99*m**3 - 18*m**2 - 78*m - 9. Let x(j) = 25*j**3 + 4*j**2 + 19*j + 2. What is -2*k(z) - 9*x(z)?
-27*z**3 - 15*z
Suppose f + 5*l = 69 - 45, 0 = -3*l + 15. Let q(k) = -10*k - 5. Let w(g) = -3. Let m(v) = 4. Let z(s) = 4*m(s) + 5*w(s). Give f*q(b) - 5*z(b).
10*b
Suppose 8*o + 5 = 4*o - 3*t, 0 = 5*t - 5. Let b(i) = -3*i**2 - 1215 - 1216 - 1214 - 2*i + 5*i**2 + 3647. Let z(w) = 4*w**2 - 5*w + 5. Give o*z(k) + 5*b(k).
2*k**2
Let u(k) = -2*k**3 - 11*k**2 + 7*k + 136. Let d(c) = -c**3 - 6*c**2 + 3*c + 68. Determine 7*d(q) - 3*u(q).
-q**3 - 9*q**2 + 68
Let l(b) = 7*b**2 - 1273*b - 5. Let r(j) = 4*j**2 - 636*j - 3. Give 3*l(d) - 5*r(d).
d**2 - 639*d
Suppose 27 = -9*g - 18. Suppose -16*d = -d - 60. Let x(w) = w**2 + 6 - w - 2*w - w - 3*w**2. Let u(s) = -3*s**2 - 5*s + 7. What is d*u(r) + g*x(r)?
-2*r**2 - 2
Let s(g) = -g**3 - g**2 - g - 1. Let y(v) be the second derivative of -3*v**5/20 - v**4/12 - v**3/6 - v**2/2 - 344*v. Give -s(o) + y(o).
-2*o**3
Let g(w) = 2*w - 7. Suppose -314*v + 70*v = 646*v - 12460. Let b be ((-12)/(-14))/((-1)/7). Let z(y) = -2 + 0*y + y - 1. Give b*g(f) + v*z(f).
2*f
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