 - 2
Let t(a) = 4*a + 3. Let y(z) = 12*z**2 + 51*z + 18. Calculate 6*t(s) - y(s).
-12*s**2 - 27*s
Let t(x) = 954*x - 20. Let w(v) = 636*v - 14. Determine 5*t(l) - 7*w(l).
318*l - 2
Let s(v) be the third derivative of 0 + 0*v + 12*v**2 + 7/6*v**3 - 7/60*v**5 + 3/8*v**4. Let n(q) = 11*q**2 - 14*q - 11. Determine 5*n(x) + 8*s(x).
-x**2 + 2*x + 1
Suppose -5*d - 3*i - 8 = 0, 1 = -3*d - 4*i - 6. Let c(r) = -r**2 - 1. Let u(k) = 83*k**2 - 97657*k + 97654*k - 2 - 86*k**2. Calculate d*u(j) + 2*c(j).
j**2 + 3*j
Suppose 108*v - 109*v - 2*x - 11 = 0, -4*v + 2*x + 6 = 0. Let l(a) = -a**2 + 1. Let t(w) = 2*w**2 - 2*w + 5. What is v*t(f) + 5*l(f)?
-7*f**2 + 2*f
Let t(i) be the first derivative of 6*i**2 + 3*i + 78473. Suppose 0*o + 6 = -2*o. Let u(g) = -132*g - 32. Determine o*u(l) - 32*t(l).
12*l
Let a(q) = 730*q**2 - 3*q - 8. Let h(o) = 1953*o**2 - 8*o - 23. Let y(f) = 8*a(f) - 3*h(f). Let b(x) = -13*x**2 + 3. Determine 8*b(d) - 5*y(d).
-9*d**2 - 1
Let m = 9 + -6. Let x(d) be the first derivative of 2*d**3/3 + d**2 + 4*d + 22329. Let u(r) = -2*r**2 - 3*r - 3. Give m*x(p) + 4*u(p).
-2*p**2 - 6*p
Let i(r) = r**2 - 4*r + 3. Let m(a) = -307 + 4*a**2 - 308 - 39*a + 22*a + 627. Calculate -9*i(d) + 2*m(d).
-d**2 + 2*d - 3
Let w(u) = -13*u**2 - 2*u. Let z(h) = -991 - h**2 + 991 - h + 0*h. Let i be (-8)/52 + 0 + (-240)/130. Determine i*z(v) + w(v).
-11*v**2
Let f(w) = -5*w**3 + w**2 - w + 1. Let v(x) = 10559*x**3 + x**2 - x + 1. What is f(d) - v(d)?
-10564*d**3
Let o(l) = 30*l**3 - 3*l**2. Let r(c) = -c**3 + c**2. Suppose 0 = -2*x + 5*a - 4, -4*a = 2*x - 49 + 35. What is x*r(s) + o(s)?
27*s**3
Let m = 22763 + -22761. Let q(p) = p**2 - 4. Let b(a) = a**2 + 2 - 6 - 5. Give m*b(k) - 5*q(k).
-3*k**2 + 2
Let y(r) = -8*r. Let z(v) = -4*v - 3. Let i(x) = -3*x - 2. Let a(t) = 3*i(t) - 2*z(t). Suppose -938*l + 4190 = 211*l + 11084. Determine l*a(h) + 2*y(h).
-10*h
Let g(s) = s - 4 + 1 + 2. Let c(v) = v - 3*v + 3629 - 3634. What is -c(o) + 5*g(o)?
7*o
Let b(s) = -10 - s + 3 + 20 + 20*s - 18. Let m(g) = -48*g + 12. Give -12*b(n) - 5*m(n).
12*n
Suppose 0 = 3*j + 2*i + 419 - 439, -2*j = -2*i. Let m(d) = 2*d**2 + 7*d - 1. Let g(s) = -2*s**2 - 6*s + 1. Give j*m(b) + 5*g(b).
-2*b**2 - 2*b + 1
Let o(v) = v**2 - v - 1. Let p = -771 - -772. Let g(j) = j**2 - 28*j - 1. What is p*g(r) - 2*o(r)?
-r**2 - 26*r + 1
Let w(u) = u**3 + u**2 + u - 1. Let p(z) = -13*z**3 + 3*z**2 + 5*z - 5. Let f = 7727 - 7722. Determine f*w(s) - p(s).
18*s**3 + 2*s**2
Let m(p) = -4*p**2 + 140*p + 4. Let h(o) = 4*o**2 - 152*o - 6. Give 3*h(u) + 4*m(u).
-4*u**2 + 104*u - 2
Let g(w) = -587*w - 15. Let o(b) = 631*b + 18. What is -4*g(x) - 3*o(x)?
455*x + 6
Let n(a) = -5 + a + 15*a - 29*a. Let j = -38 - -43. Let m(r) = 1 + 6 - j + 6*r. Calculate -5*m(g) - 2*n(g).
-4*g
Let i(r) = 17*r**3 - 34*r**2 - 12*r + 15. Let c(o) = -4*o**3 + 9*o**2 + 3*o - 4. What is 15*c(k) + 4*i(k)?
8*k**3 - k**2 - 3*k
Suppose 274*t = -247*t + 193*t + 656. Let o(z) = -17*z. Let u(x) = -69*x - 1. Calculate t*u(d) - 9*o(d).
15*d - 2
Let i(z) = 234*z + 27. Let y(u) = -1636*u - 196. Determine 36*i(t) + 5*y(t).
244*t - 8
Let v(w) = -13*w**2 - 32*w + 30. Let u(n) = 19*n**2 + 47*n - 44. Let b(x) = 15*u(x) + 22*v(x). Let k(m) = 3*m**2 + 5*m. Calculate -2*b(r) + k(r).
5*r**2 + 3*r
Let p(b) = -b + 2. Let q(r) = -3536*r - 19. Calculate 10*p(s) + q(s).
-3546*s + 1
Let r(g) = -3*g**3 - 26*g. Let b(k) = -17*k**3 - 57*k - 5. Let y(s) = 15*s**3 + 56*s + 4. Let i(m) = -4*b(m) - 5*y(m). Calculate -2*i(a) + 5*r(a).
-a**3 - 26*a
Let r(o) = -101*o + 4. Let d(x) = 97*x - 5. Calculate -3*d(w) - 4*r(w).
113*w - 1
Let j(r) = -13*r - 6. Suppose -214512*q + 214514*q = -12. Let p(l) = -1. Let o(d) = 259*d + 118. Let a(g) = -o(g) + p(g). Determine q*a(v) + 119*j(v).
7*v
Let t(y) = -3*y**2 - y. Let c be 48/(-216) - ((-55)/(-9) - (-30)/45). Let z(f) = 5*f**2 + 2*f + 1 - 1. Determine c*t(h) - 4*z(h).
h**2 - h
Let w(h) = -h**2 + h. Let c(n) = 0*n - 2*n - 1 + 1. Let s(u) = -u - 2. Let v(k) = -21*k + 125. Let l be v(6). Let p be s(l). Determine p*c(q) - 2*w(q).
2*q**2
Suppose 3626*l - 5*o = 3625*l - 19, 3*l - 5*o + 27 = 0. Let p(m) = 8*m - 14. Let f(a) = 0 + 3*a + 3 - 4 - 4. What is l*p(c) + 11*f(c)?
c + 1
Let d = 0 - 3. Let k(v) = -17*v + 18. Let z(s) = 12*s - 13. Let x(n) = 3*k(n) + 4*z(n). Let a(p) = 2*p - 1. Determine d*x(b) - 4*a(b).
b - 2
Let a(v) be the third derivative of -v**5/60 + v**3/6 + v**2 - 7*v + 16. Let w(p) = -6*p**2 + 3*p + 2. Calculate -2*a(b) + w(b).
-4*b**2 + 3*b
Let q(m) = 33 - 2351*m - 118 + 2716*m. Let x(p) = 13*p - 3. Give -6*q(k) + 170*x(k).
20*k
Suppose 181*u = 202*u + 147. Let h(m) = 7*m + 1. Let b(c) = 15*c + 2. What is u*h(q) + 3*b(q)?
-4*q - 1
Let h(i) = -1. Let k be (-7)/(-4) + 2263/124. Let s(t) = t. Let g be s(3). Suppose p = -g*p - k. Let a(x) = -x - 2. Calculate p*h(l) + 2*a(l).
-2*l + 1
Let i(o) = -12*o + 4. Let n(t) = 23*t - 9. Let u(j) = -63*j**2 - 4474*j - 68. Let q be u(-71). What is q*n(h) + 7*i(h)?
-15*h + 1
Let m(s) = 1. Let d(f) be the second derivative of -f**3/2 - 21*f**2/2 + 486*f. Give d(z) + 15*m(z).
-3*z - 6
Let g(m) = 5082*m**3 - 45*m**2 + 243*m - 45. Let n(t) = -231*t**3 + 2*t**2 - 11*t + 2. Determine 2*g(h) + 45*n(h).
-231*h**3 - 9*h
Let r(b) = 247*b**3 - 6*b**2 + 7*b - 45. Let s(x) = 106*x**3 - 3*x**2 + 3*x - 22. Let p(d) = 3*r(d) - 7*s(d). Let j(l) = l**2. Determine -6*j(w) + 2*p(w).
-2*w**3 + 38
Let s(p) = -p. Let q(h) = 3*h + 1. Let u(r) = -5*r - 2. Let j(t) = 8*q(t) + 5*u(t). Let b = 47 - 47. Suppose b*a - 3*a - 3 = 0. Calculate a*j(c) + 2*s(c).
-c + 2
Let q(w) be the second derivative of -w**3/6 + 11*w. Let y(n) = 5*n. Let x be (-14)/(-84) + 326/(-12). Let v = -23 - x. Determine v*q(z) + y(z).
z
Let i(y) = 31*y**3 - 4*y**2 + 3*y. Let k(l) = 32*l**3 - 3*l**2 + 2*l. Let g = 9168 - 9171. Give g*i(m) + 4*k(m).
35*m**3 - m
Let z(p) = -21*p**3 + 15*p**2 + 15. Let i = 124 - 122. Let v(g) = -38 + g**3 - 2*g**i + 2*g**3 + 74 - 38. Let s be (-154)/10 + (-4)/(-10). Give s*v(k) - 2*z(k).
-3*k**3
Let r(q) = -2 + q + 2. Let o(j) = -1. Let y = -2922 - -2923. Let m(b) = y*r(b) + o(b). Let i(p) = 10*p - 7. Give i(h) - 6*m(h).
4*h - 1
Let y(b) = 5294*b**2 + 7*b - 10. Let x(l) = 2640*l**2 + 4*l - 6. Give -5*x(i) + 3*y(i).
2682*i**2 + i
Let z(i) = 326*i + 56. Let h(r) = -125*r - 22. Let d(w) = -13*h(w) - 5*z(w). Let f(n) = 3*n - 4. Determine 5*d(l) + 8*f(l).
-l - 2
Let o(x) = 353*x - 2. Let v(i) = 1055*i - 8. Calculate 7*o(z) - 2*v(z).
361*z + 2
Let g(s) = -2*s + 13. Let f(p) = 58 + 3*p - 32 - 16 - 24. What is -3*f(q) - 4*g(q)?
-q - 10
Let s be (8/(-3))/2 - (-1064)/6. Let t(m) = 86 - m + 88 - s. Let w(y) = 4*y + 10. Give 14*t(k) + 3*w(k).
-2*k + 2
Let a(s) = -7251336*s**3 + 31864*s + 15932. Let y(c) = -4552*c**3 + 20*c + 10. Determine 5*a(h) - 7966*y(h).
4552*h**3
Let b(j) = -2*j**2 - 2*j + 7. Let l(k) be the third derivative of k**5/60 - k**3/6 + 5*k**2 - 25. Give b(u) + 5*l(u).
3*u**2 - 2*u + 2
Let l(h) = 6*h - 1. Let i(s) = -168 - 162 + 29 + 302. What is -2*i(r) - l(r)?
-6*r - 1
Suppose 5*u - 132 = -3*x - 466, 0 = 4*u + 3*x + 269. Let k(n) = 286*n. Let b(y) = -26*y. Calculate u*b(v) - 6*k(v).
-26*v
Let z(w) = 1 - 2*w**3 - 1 - 7*w**2. Let p(i) = -i**2. Suppose -2*v + 24 = 4*g, -44 = -3*v - g - 3. Let d = 2908 - 2910. Give d*z(r) + v*p(r).
4*r**3
Let t(s) = -21*s**3 - 6*s**2 - 11*s - 21. Suppose -15*d = 457 - 3442. Let q = d - 188. Let b(n) = 4*n**3 + n**2 + 2*n + 4. Give q*b(j) + 2*t(j).
2*j**3 - j**2 + 2
Let y(k) = -4*k**3 + 2*k**2 + 11*k + 2. Let c(g) = -6525*g + g**3 + 6526*g - 7 - g**2 + 6. Give 2*c(f) + y(f).
-2*f**3 + 13*f
Let q(l) = l. Let c(s) = -3*s + 3914. Calculate -c(m) - 5*q(m).
-2*m - 3914
Let a(p) = p + 1. Let s(v) = 7*v - v - 21*v + 5*v + 6*v - 4. Determine 22*a(f) + 6*s(f).
-2*f - 2
Suppose 22*s - 108 + 208 = 210. Let p(q) = 8*q**2 - 11*q. Let t(j) = 4*j**2 - 5*j. Give s*t(x) - 2*p(x).
4*x**2 - 3*x
Let l(w) = -160 + 484 - 5*w**2 - 164 - 15*w**3 - 158 + 7*w**2. Let c(o) = 1394*o**3 - 187*o**2 - 187. Determine -2*c(d) - 187*l(d).
17*d**3
Suppose 10 + 6 = -4*i. Let y(h) = 3*h**2 + 4. Let t = 5866 + -5877. Let j(l) be the second derivative of -2*l**4/3 - 11*l**2/2 - 17*l. What is i*j(q) + t*y(q)?
-q**2
Let t(j) = j**2 - 7*j - 140. Let c(m) = -3*m**2 + 16*m + 278. Give 3*c(q) + 7*t(q).
-2*q**2 - q - 146
Let b(m) = -2