3
Suppose -46 = -3*n + 5*o, -n + 4*n = 2*o + 31. Let k(z) be the second derivative of z**3/3 - 2*z**2 - 2*z - 67. Let q(c) = -6*c + 13. Determine n*k(v) + 2*q(v).
2*v - 2
Let b(p) = 350*p**3 - 6*p**2 + 3*p + 6. Let m(c) = 350*c**3 - 5*c**2 + 2*c + 5. Calculate -4*b(o) + 5*m(o).
350*o**3 - o**2 - 2*o + 1
Let i(r) = 44*r**2 + 11*r - 12. Let f(p) = -p**2 + 2. Let q(t) = -6*f(t) - i(t). Let g(y) = 13*y**2 + 4*y. Determine 11*g(x) + 4*q(x).
-9*x**2
Let t(r) = -42*r**3 + 9*r + 15. Let z(c) = -21*c**3 + 5*c + 8. Let l be ((-297)/22)/((-9)/(-6)). What is l*z(i) + 5*t(i)?
-21*i**3 + 3
Let l(x) = 109*x**3 - 236*x**2 - 6*x + 120. Let m(a) = -22*a**3 + 47*a**2 + a - 22. Give 2*l(k) + 11*m(k).
-24*k**3 + 45*k**2 - k - 2
Let o(d) be the third derivative of -d**6/60 - d**5/30 - d**4/8 + d**3/3 - 5200*d**2. Let v(h) = 4*h**3 + 5*h**2 + 5*h - 5. Determine -5*o(s) - 2*v(s).
2*s**3 + 5*s
Suppose -74 = -4*o + 2. Suppose -8*a + 5 = -o. Let k(p) = -12*p + 12*p - p**3 + 5*p**2 - 5 + 7*p**a. Let t(i) = -7*i**3 - 6*i**2 + 6. Give -6*k(g) - 5*t(g).
-g**3
Let z(k) = 118*k**2 + 5*k + 4. Let w(p) = 125*p**2 + 4*p + 2. What is -3*w(s) + 2*z(s)?
-139*s**2 - 2*s + 2
Let n(o) = 41*o**2 + 4. Let s(m) = 72645*m**2 + 105*m - 2850. Let l(t) = 1397*t**2 + 2*t - 53. Let d(h) = 105*l(h) - 2*s(h). Determine 4*d(w) - 135*n(w).
45*w**2
Let n(v) = v**3 - 7*v**2 - 15*v - 7. Let h(r) = -r**2 - 2*r - 1. Let t(o) = -7*h(o) + n(o). Let l(b) = 133*b**3 - 114*b. Calculate -l(a) + 114*t(a).
-19*a**3
Suppose 23*j - 6*j - 119 = 0. Suppose 0 = -j*x + 14*x - 35. Let v(m) = 2*m - 2. Let c(r) = -4*r + 3. Give x*v(b) + 3*c(b).
-2*b - 1
Let c(j) = -3*j**2 - 3*j - 4. Let b(k) be the first derivative of -4/3*k**3 - 67 - 2*k**2 - 5*k. Calculate 5*b(m) - 6*c(m).
-2*m**2 - 2*m - 1
Let h(i) = 16*i**3 + 4*i**2 - 209*i. Let u(n) = 4*n**3 + n**2 - 52*n. Determine 6*h(t) - 25*u(t).
-4*t**3 - t**2 + 46*t
Let h(t) = -3*t**3 + 2*t - 6. Suppose -7*p = 41 - 6. Let f(q) = 3*q**3 - 3*q + 7. Let j be ((-264)/(-99))/(2/(-3)). Give j*f(c) + p*h(c).
3*c**3 + 2*c + 2
Suppose -51 + 30 = 7*j. Let v(l) = 4*l**2 + 5*l - 3. Let m(r) be the third derivative of r**5/20 + r**4/6 - r**3/3 + 7*r**2. What is j*m(h) + 2*v(h)?
-h**2 - 2*h
Let t(x) = 6*x**3 + 37*x**2 - 2. Let c(p) = -2*p**3 - 12*p**2 + 1. Let r(v) = 1252*v - 6253. Let i be r(5). Give i*c(z) + 2*t(z).
-2*z**3 - 10*z**2 + 3
Let p(q) = 8*q**3 - 2*q**2 - q - 1. Let o(x) = 200*x**3 - 10*x**2 - x - 5. Calculate o(s) - 5*p(s).
160*s**3 + 4*s
Suppose 9*s - 4*s = 20. Let p(r) = 3*r**2 + 2*r - 1. Let v = 884 + -881. Suppose v*y - 164 = -173. Let t(z) = 2*z**2 + 2*z - 1. Give s*t(w) + y*p(w).
-w**2 + 2*w - 1
Let k(c) = -11*c**2 - 22*c + 54. Let j be k(7). Let w = j + 642. Let z(f) = -5*f + 1. Let r(p) = -6*p. Give w*z(h) - 2*r(h).
-3*h + 3
Let b(t) be the second derivative of -t**4/12 + 7*t**2/2 + t. Suppose -149 = 18*i + 481. Let p(c) = -1. Suppose -2*h - 8 - 2 = 0. Determine h*b(j) + i*p(j).
5*j**2
Suppose 21 = 3*j - 6*c, -4*c = -4 + 8. Let k(z) = z - 1. Let a(s) = -5*s - 4. Give j*k(t) - a(t).
10*t - 1
Let s = 8 - 14. Let b(n) = -n + 1. Suppose -70 = -2*i - 4*m, 9*i - 4*i - 190 = 5*m. Let r(d) = -9*d - 59 + 28 + i. What is s*b(w) + r(w)?
-3*w
Let y(i) = 1 - 4 - i - 5 + 0*i + 5*i. Let j(n) = 10. Let c(b) = -b + 19. Let t(r) = 3*c(r) - 5*j(r). Suppose -q = -9 + 3. Give q*t(g) + 5*y(g).
2*g + 2
Let q(p) = 7*p**2 - 3*p - 9. Let l(g) = -8*g**2 + 4*g + 9. Let i(j) = -12*j + 139. Let a be i(12). What is a*l(r) - 6*q(r)?
-2*r**2 - 2*r + 9
Let b(j) = 2134*j. Let w(o) = 4*o. Calculate -2*b(h) + 22*w(h).
-4180*h
Let b(x) = -26*x**3 + 4*x**2 + 11*x - 34. Let o(m) = 9*m**3 - m**2 - 4*m + 12. Calculate 3*b(z) + 8*o(z).
-6*z**3 + 4*z**2 + z - 6
Let g(s) be the second derivative of s**3/3 - s**2/2 - 2*s + 8. Let h(b) = 22*b + 399. Let m be h(-18). Let j(u) = -u**2 - 2*u + 1. Give m*g(w) + 4*j(w).
-4*w**2 - 2*w + 1
Let c(f) = 5*f - 58. Let b(v) = -17*v + 105. Let m(k) = 88*k - 519. Let z(q) = 11*b(q) + 2*m(q). Calculate 13*c(h) + 6*z(h).
-h - 52
Let b(g) = -8*g + 83*g**2 + 4 - 1 - 82*g**2. Let l be b(8). Let s(a) = 8*a - 13*a - 1 + 6*a. Let c(k) = -k + 1. Give l*s(i) + 5*c(i).
-2*i + 2
Let x(k) = -k**3 + k**2 - 3*k. Let u(b) = 116*b**3 - 5*b**2 + 19*b. Calculate -2*u(g) - 10*x(g).
-222*g**3 - 8*g
Let u(v) = v**3 - 43*v**2 - 49*v + 223. Let c be u(44). Suppose -5*q + 68 = 28. Let z(i) = -i**2 - 2*i - 3. Let w(f) = 3*f**2 + 5*f + 8. Give c*w(b) + q*z(b).
b**2 - b
Let t(v) = -12*v - 1. Let j = -2873 - -2875. Let d(b) = b. Give j*t(g) + 14*d(g).
-10*g - 2
Let z(n) = 4*n + 12. Let t(r) = -362 - 373 + 3*r + 1472 - 360 - 366. What is -5*t(j) + 4*z(j)?
j - 7
Let k = 0 - 5. Let l(w) = 9*w**2 - 5*w + 5. Let c(f) = -4*f**2 + 8*f + 7. Let t(d) = 7*d**2 - 8*d - 2. Let a(b) = 2*c(b) + 3*t(b). Give k*a(n) + 8*l(n).
7*n**2
Let y(k) = 51*k**2 + 21*k - 21. Let m(w) = -5*w**2 - 2*w + 2. Suppose -30*j - 88*j + 280 = -428. What is j*y(x) + 63*m(x)?
-9*x**2
Let s(z) = -36*z - 2778. Let n(u) = -58*u - 4168. Determine 5*n(d) - 8*s(d).
-2*d + 1384
Let i(r) = 4*r**3 - 65*r**2 - 7*r. Let v(z) = -8*z**3 + 127*z**2 + 17*z. Calculate -5*i(l) - 2*v(l).
-4*l**3 + 71*l**2 + l
Let u(a) = -5*a - 7. Let x be (11 + 7 - 8) + -2 + -4. Let v(o) be the first derivative of 10 - 3/2*o**2 - x*o. Give -6*u(s) + 11*v(s).
-3*s - 2
Let g(f) = -5*f + 1. Let b(t) = 7*t. Let z(l) = 4*l. Let q(s) = -3*b(s) + 5*z(s). Suppose 131*m - 137*m - 6 = 0. Let c be (-18)/3*m*(-2)/3. Give c*q(y) + g(y).
-y + 1
Let z(b) = -121*b - 4. Let j(s) = -84*s + 18*s - 2*s + 38*s - 1. Determine 9*j(n) - 2*z(n).
-28*n - 1
Suppose -35 = 16*b - 9*b. Let z = 97 + -101. Let y be b/1 - -2 - (-1 - z). Let n(i) = -i. Let f(l) = -4*l + 1. Determine y*n(s) + 2*f(s).
-2*s + 2
Let u(p) = 821*p**3 + 2*p**2 - 4. Let w(c) = -1647*c**3 - 5*c**2 + 10. Calculate 5*u(j) + 2*w(j).
811*j**3
Let h(w) = -4*w**3 - 12*w**2 + 42*w + 36. Let z(q) = 4*q**3 + 9*q**2 - 41*q - 25. What is -3*h(d) - 4*z(d)?
-4*d**3 + 38*d - 8
Let t(n) = -6*n. Suppose -761*b = -756*b + 5115. Let y = -1014 - b. Let q(h) be the third derivative of -h**4 - h**2. Calculate y*t(u) - 2*q(u).
-6*u
Let c(p) = -19*p - 171. Let o(u) = -437*u - 3933. Give -114*c(z) + 5*o(z).
-19*z - 171
Let d(f) = f**2 - f. Let x(o) = -19*o**2 + 189*o + 37. Let i(z) = 3*z**2 - 30*z - 6. Let m(w) = -25*i(w) - 4*x(w). What is -6*d(g) + m(g)?
-5*g**2 + 2
Let z be (-2)/7 - 156/42. Let f(j) = 8*j + 2. Let l(v) = 33*v + 9. Suppose -5*o = 22307 - 22397. What is o*f(r) + z*l(r)?
12*r
Suppose -x - 2*p = -2, -22 = -5*x - 548*p + 544*p. Let i = 15 + -50. Let t(m) = -77*m**2 + 35*m - 35. Let z(s) = -13*s**2 + 6*s - 6. Determine i*z(q) + x*t(q).
-7*q**2
Let k(p) = -5*p**3 + 2*p**2. Let l(c) = -c**2. Let n = -250 - -242. Let y be (-2)/n + (165/20)/3. What is y*l(z) + k(z)?
-5*z**3 - z**2
Let v(n) = 1. Let u(d) = -87*d**2 + 134*d + 13. Let l(s) = -58*s**2 + 96*s + 9. Let k(m) = -7*l(m) + 5*u(m). What is k(q) - 2*v(q)?
-29*q**2 - 2*q
Let p(y) = 5*y - 8. Let c(f) = -6*f + 207. What is 2*c(w) + 2*p(w)?
-2*w + 398
Let s(u) be the first derivative of -3*u**2 + u - 559. Let y(k) be the second derivative of -3/2*k**2 - 2*k + 13/6*k**3 + 0. Calculate -7*s(z) - 3*y(z).
3*z + 2
Let z(b) = -293*b**3 + 6*b**2 + 3*b + 2. Let u(r) = -1464*r**3 + 33*r**2 + 16*r + 10. Calculate -2*u(y) + 11*z(y).
-295*y**3 + y + 2
Let x = -185 + 187. Suppose 2*i + x = -4*j + 4, 0 = -3*j. Let q(h) = h**3 + h - 1. Let u(o) = -4*o**3 - 2*o. Calculate i*u(f) + 2*q(f).
-2*f**3 - 2
Let d(r) = 8*r - 150. Let k(s) = 302*s + 93. Let c(b) = -733*b - 233. Let y(w) = 7*c(w) + 17*k(w). Give -5*d(t) + 14*y(t).
2*t + 50
Let k(t) = -5*t**3 - 6*t**2 + 23*t + 2. Let x(p) = -12*p**3 - 13*p**2 + 48*p + 5. What is 5*k(n) - 2*x(n)?
-n**3 - 4*n**2 + 19*n
Let s be (((-30)/8)/((-30)/40) + -6)*1. Let x(t) = -2*t**3 + 5*t**2 - 2*t + 5. Let w(o) = -o**3 - o**2 - 1. What is s*x(p) - 5*w(p)?
7*p**3 + 2*p
Let s(h) = 21*h**2 + 12*h + 8. Let z(b) = 61*b**2 + 34*b + 25. What is -19*s(t) + 6*z(t)?
-33*t**2 - 24*t - 2
Let w(o) = -9*o**3 - 5*o**2 - 5. Let l(v) be the first derivative of 28*v - 112 + 0*v**2 + 28/3*v**3 + 49/4*v**4. Calculate 5*l(d) + 28*w(d).
-7*d**3
Let y(f) = 3041*f**2 + 21*f + 7. Let q(k) = 3041*k**2 + 18*k + 6. What is 7*q(b) - 6*y(b)?
3041*b**2
Let y(m) = 32*m**3 + 25*m**2 + 1663*m - 6. Let b(d) = -5*d