 - 1
Let q(s) = -8*s - 3. Let o(m) be the first derivative of m**2/2 + 1121. Give 2*o(u) + q(u).
-6*u - 3
Let y = 21 + -15. Let w(q) = 3*q + 1 - 8 + y. Let g(c) = 2*c - 1. Let z(m) = -m**3 + 4*m**2 - 3*m + 3. Let j be z(3). Determine j*w(v) - 5*g(v).
-v + 2
Let c(u) = -302*u**2 + 44*u - 616. Let f(b) = -93*b**2 + 14*b - 205. Determine 4*c(h) - 13*f(h).
h**2 - 6*h + 201
Let k(t) = -42*t**2 + 6*t + 45. Let c(f) = -24*f**2 + 3*f + 24. Let n(u) = 15*c(u) - 8*k(u). Let l(b) = -48*b**2 - 7*b. Calculate -3*l(x) + 7*n(x).
-24*x**2
Let k(a) = 62*a - 4. Let v(x) = -7*x + 3. What is k(c) - 5*v(c)?
97*c - 19
Let i(p) = 27*p**2 - 13*p. Let y(x) be the third derivative of 0*x**3 - 13/60*x**5 + 22*x**2 + 0 + 0*x + 1/4*x**4. Calculate -6*i(t) - 13*y(t).
7*t**2
Let b(n) be the second derivative of 3*n**2/2 + 21*n. Let h(q) be the first derivative of q**3/3 - 5*q + 35. Give 5*b(m) + 3*h(m).
3*m**2
Let r(f) = -1. Let y(n) = 2*n - 7. Let t = -63 + 110. Let w = t - 42. Suppose 3*g - 10 = w*g, 2*a + 2*g + 22 = 0. What is a*r(h) + y(h)?
2*h - 1
Let k(j) = 4*j + 1. Let u(w) = 2*w + 12*w - 9*w + 5*w - 7*w. Give -3*k(b) + 2*u(b).
-6*b - 3
Let o(x) = -x**2 - x. Let c = -517 + 514. Let h(t) = 5 - 2*t + 3 + 7 - 15. Calculate c*o(q) + 2*h(q).
3*q**2 - q
Suppose -4*u - 31 = -s - 47, 0 = -s - 3*u + 33. Let b(a) = -a. Let r(g) = 2*g - 1. Give s*b(x) + 4*r(x).
-4*x - 4
Let q(l) = -49*l**2 - 140*l + 436. Let f(n) = 24*n**2 + 84*n - 218. Calculate 5*f(d) + 3*q(d).
-27*d**2 + 218
Let b(p) = 19*p**2 - 33*p + 46. Let f(h) = -16*h**2 + 25*h - 46. What is -4*b(n) - 5*f(n)?
4*n**2 + 7*n + 46
Let v(w) = -14*w**2 - 280*w + 22. Let b(l) = 20*l - 1. Determine 56*b(m) + 4*v(m).
-56*m**2 + 32
Let f(o) = -7*o + 69. Let c(d) = 3*d - 25. Let h(y) = -11*c(y) - 4*f(y). Let q(g) = 6*g + 2. Let n = -5 + 2. What is n*h(a) - 2*q(a)?
3*a - 1
Let p(j) = 7*j - 3. Let f(s) be the third derivative of s**4/24 - s**3/6 + 14*s**2 - 2*s. Calculate -4*f(y) + p(y).
3*y + 1
Let o(g) = 5*g**3 + 7*g**2 - 6*g + 3. Let k(z) = 5*z**3 + 3*z**2 - 4*z + 1. Determine -3*k(n) + 2*o(n).
-5*n**3 + 5*n**2 + 3
Let f(u) = -2*u**2 - 9*u - 8. Let j be (-5 + 8 + -1)/((-7)/(-21)). Let t(m) = -4*m**2 - 17*m - 17. Determine j*t(x) - 13*f(x).
2*x**2 + 15*x + 2
Let q(z) = 712*z + 12. Let h(r) = r + 2. Give -8*h(a) + q(a).
704*a - 4
Let a(w) = 5*w + 37. Let m(p) = -6*p - 34. What is -3*a(t) - 4*m(t)?
9*t + 25
Let u(i) be the first derivative of 9*i**2/2 - 2*i - 24. Let b(s) = 4*s - 1. Let h(w) = -22*w + 588. Let p be h(27). Calculate p*u(r) + 13*b(r).
-2*r - 1
Let n(l) = l**3 + 2*l**2 - 1. Let p be (50 - 55) + 4*2. Suppose p*j - 26 = 4*x, -3*j + 11 = -x - 0*x. Let f(i) = -i**3 - 3*i**2 + 2. Determine j*f(v) + 3*n(v).
v**3 + 1
Let v(g) = 126*g**3 + 14*g. Let o(i) = -42*i**3 - 5*i. Let h = -12008 - -12022. Give h*o(p) + 5*v(p).
42*p**3
Let d(t) = 420*t**3 - 7*t**2 + 24*t + 45. Let j(w) = -120*w**3 + 2*w**2 - 7*w - 13. Determine -5*d(n) - 17*j(n).
-60*n**3 + n**2 - n - 4
Let r(q) be the first derivative of -q**2/2 + q - 1. Let c(w) = -w + 2. Let s = -61901 + 61903. Give s*r(v) - 3*c(v).
v - 4
Let v(g) = -1. Let c(y) = y + 18. Suppose -3*r - 1218 + 1233 = -z, -3*z = 5*r - 25. Calculate r*v(k) + c(k).
k + 13
Let f(l) = 52*l - 69. Let q(d) = -9*d + 1. Give -f(n) - 6*q(n).
2*n + 63
Let k(w) = 4*w**2 - 325*w + 12. Let h(r) = -9*r**2 + 627*r - 25. Give 2*h(i) + 5*k(i).
2*i**2 - 371*i + 10
Let y(o) = 2*o**2 + 4*o - 1. Let u = -572 - -594. Suppose 0 = -16*j + u - 6. Let a(g) = g. What is j*y(f) - 6*a(f)?
2*f**2 - 2*f - 1
Let z(b) = 3061*b + 2. Let v(g) = 1529*g + 1. What is 11*v(c) - 6*z(c)?
-1547*c - 1
Let x(r) = -39*r - 97. Let h(j) = -2*j. Determine 15*h(o) - x(o).
9*o + 97
Let j(y) = -82*y + 3452. Let a be j(38). Let c(z) = 43*z**3 + 5*z**2 + 5*z + 5. Let h(n) = -2880*n**3 - 336*n**2 - 336*n - 336. Calculate a*c(f) + 5*h(f).
48*f**3
Suppose b - 3*r + 23 = 0, -7*b - 46 = 4*r - 85. Let c(z) = -4. Let o(l) = -l + 1. Give b*c(v) + 5*o(v).
-5*v + 1
Let b(w) = 8*w - 2. Let c(m) be the first derivative of -m**3/6 + 19*m - 28. Let a(v) be the first derivative of c(v). What is -10*a(u) - b(u)?
2*u + 2
Let v(i) = 562*i - 7. Let k(l) = 1099*l - 13. Give 3*k(h) - 5*v(h).
487*h - 4
Let d be (-90)/27 + 5/((-60)/(-16)). Let s(c) = -53*c**3 - 4*c**2 + 9*c + 9. Let b(g) = 13*g**3 + g**2 - 2*g - 2. Determine d*s(q) - 9*b(q).
-11*q**3 - q**2
Let o(c) = -2742*c + 42. Let z(s) = 915*s - 12. Calculate 4*o(j) + 14*z(j).
1842*j
Let n(b) = -63 + 4*b - b**2 + 37 + 34 + 0*b**2. Let w be n(6). Let k(r) = 5*r**2 + r - 2. Let h(v) = 0 - 3*v - 4*v**2 + 1 + 2*v + 0. Determine w*h(m) - 3*k(m).
m**2 + m + 2
Let g(d) = 184*d - 889. Let x(n) = 85*n - 445. Give -12*g(z) + 26*x(z).
2*z - 902
Let y = 25 + -20. Suppose -2*b = 8, y*b + 32 = 2*k - 0*b. Let p(l) = 6*l - 4*l - 136 + 135. Let t(h) = -h. What is k*t(z) + 2*p(z)?
-2*z - 2
Let y(n) = -499*n + 16. Let l(m) = -501*m + 19. Calculate 6*l(b) - 7*y(b).
487*b + 2
Let g(j) = -3*j**2 - 2*j - 4. Let f(n) = n - 1. Let r be 6/(-4)*194/291. What is r*g(p) + 4*f(p)?
3*p**2 + 6*p
Let l(j) be the third derivative of 7*j**4/24 + 2*j**3/3 - 3*j**2. Let v = -7244 - -7239. Let h(g) = -2 + g - 1 + 4. Calculate v*h(z) + l(z).
2*z - 1
Let o(k) = -2*k**3 + 5*k**2 - 78*k + 3. Let j(p) = -4*p**3 + 9*p**2 - 155*p + 5. Give 3*j(t) - 5*o(t).
-2*t**3 + 2*t**2 - 75*t
Let u(q) = 3*q**2 + q + 2. Let z be (-6*(-377)/(-156))/(2/(-4)). Let h(a) = 23*a**2 + z*a**2 - 4*a + 26*a**2 - 8 - 89*a**2. Give -2*h(j) - 9*u(j).
-5*j**2 - j - 2
Let y(l) = 9*l. Suppose -5*m - 15 = 135*v - 140*v, 45 = 3*m + 6*v. Let j(u) be the second derivative of 0*u**2 - 10*u - 19/6*u**m + 0. What is 4*j(p) + 9*y(p)?
5*p
Let b(q) = -q**3 + 3*q**2 - q + 4. Let d(y) = -2686*y**3 - 3*y**2 + y - 3. Determine -b(r) - d(r).
2687*r**3 - 1
Let w(h) = -5*h + 1. Let m(f) be the first derivative of -11*f**2/2 + f + 1370. Calculate -2*m(g) + 5*w(g).
-3*g + 3
Let k(p) = 686*p**3 - 2*p**2 + 3*p + 1. Let l(b) = 686*b**3 - b**2 + 3*b + 1. Give 3*k(m) - 4*l(m).
-686*m**3 - 2*m**2 - 3*m - 1
Let s(a) = -22*a**2 - 6*a - 7. Let k(h) = 39*h**2 + 6*h + 6. What is 6*k(z) + 5*s(z)?
124*z**2 + 6*z + 1
Let r(p) = -3*p**2 + 3*p - 3. Suppose 4*n + 4*s - 56 = 0, 5*s + 17 = n + 3*s. Suppose -n*z - 28 = -8*z. Let c(t) = -4*t**2 + 2*t - 2. What is z*r(i) + 6*c(i)?
-12*i**2
Let d(a) = 8*a + 1. Let w(p) = p**3 - 44*p**2 - 88*p - 187. Let z be w(46). Let x(q) = 9*q + 1. What is z*d(g) + 2*x(g)?
-6*g - 1
Let i(z) = -6*z - 5168. Let a(l) = l + 1033. Determine 11*a(c) + 2*i(c).
-c + 1027
Let o(k) = 13*k + 25. Let v(d) = d. Determine o(a) + 6*v(a).
19*a + 25
Let x = -12013 - -11991. Let j be 5*(-1 + -1 + 3). Let f(k) = 4 + 3*k - j - 2*k. Let t(a) = -10*a + 11. Calculate x*f(r) - 2*t(r).
-2*r
Let x(r) be the second derivative of r**5/4 + r**4/12 - r**3/3 + r**2 - 995*r. Let z(l) = -9 + 3*l**2 + 6 - 6*l**3 - 5*l**2 + 2*l + l. Give 3*x(m) + 2*z(m).
3*m**3 - m**2
Let w(m) = -2*m**3 + 4*m**2 - 1. Let o(g) = -27*g**3 + 52*g**2 - 2*g - 174. What is 2*o(c) - 26*w(c)?
-2*c**3 - 4*c - 322
Let s(c) = -17*c - 9. Suppose -13*r + 11*r + 2*k = -18, 0 = 3*r - 2*k - 22. Let q(v) be the first derivative of -2*v**2 - 2*v + 26. Calculate r*s(d) - 18*q(d).
4*d
Let f(i) = i**2 - i + 1. Let j(x) = -7*x**2 - 3*x + 3. Suppose -y = 71*u - 68*u - 9, -3*y + 5*u - 1 = 0. What is y*f(h) - j(h)?
10*h**2
Let t(g) = -3*g**2 + 5*g - 4. Suppose -742 = 60*z - 7222. Suppose -z*s + 40 = -100*s. Let h(n) = -n**2 + 2*n - 2. Calculate s*h(a) - 2*t(a).
a**2 - 2
Let p(l) = -3*l**3 - 79*l**2 - 8. Let k(i) = 2*i**3 + 84*i**2 + 2*i + 6. What is 4*k(z) + 3*p(z)?
-z**3 + 99*z**2 + 8*z
Let c(h) = -73*h**2 + 16*h + 10. Let d(q) = -18*q**2 + q - 1. Let m(j) = c(j) - 3*d(j). Let y = -12 + -27. Let s(r) = 3*r**2 - 2*r - 2. Give y*s(k) - 6*m(k).
-3*k**2
Let h(p) = p**3 - 5*p**2 + 2*p + 2. Let d be h(5). Let k(l) = 6*l**2 + 22 - 2 - 3*l**2 - d*l - 5*l. Let x(s) = s**2 - 6*s + 7. What is -6*k(n) + 17*x(n)?
-n**2 - 1
Let n(d) = -d + 4. Let z(u) = -1 + 2 - 2. Let t = 173 + -171. Suppose -3*l - t*f - 3*f - 9 = 0, 4*l - 4*f - 20 = 0. Give l*z(s) + n(s).
-s + 2
Suppose 0 = 2*n + n - 9. Let b(v) = 2*v - 4. Let a(g) = 7*g - 1211. Let q(x) = -36*x + 6656. Let w(p) = -11*a(p) - 2*q(p). Determine n*w(k) + 7*b(k).
-k - 1
Let m(h) = 106*h + 250. Let s(x) = 37*x + 84. Give 4*m(c) - 11*s(