2
Let y(r) be the third derivative of -r**5/20 + r**4/4 + r**3 - 203*r**2. Let u(p) = 7*p**2 - 13*p - 13. What is 6*u(f) + 13*y(f)?
3*f**2
Let h(d) = 4*d**2 - 9*d + 30. Let b(q) = -9*q**2 + 20*q - 60. Calculate -3*b(z) - 7*h(z).
-z**2 + 3*z - 30
Let k(c) = 2*c - 313. Let d(y) = y - 312. Calculate 4*d(m) - 3*k(m).
-2*m - 309
Let v(a) = 4*a + 3. Let r(h) = h**2 - 8*h + 12. Let x be r(7). Let m be -1 + x/(15/21). Let j(f) = -m - f - 10*f - 3. What is 6*j(y) + 17*v(y)?
2*y - 3
Suppose 9 = 4*j + 1. Let i(d) = -10*d - 6*d**3 - d**3 + 10*d. Let p(u) = -u**3. Give j*i(q) - 10*p(q).
-4*q**3
Let f(s) = -4*s. Let m(i) = i**2 + 4*i + 3. Let v be m(-4). Let d(z) = v - 11*z + 10*z - 3. Give -12*d(a) + 2*f(a).
4*a
Let u(b) = -4*b**2 - b + 3 + b + b. Let n = -239 + 236. Let v(g) = -9*g**2 + 3*g + 7. Determine n*v(y) + 7*u(y).
-y**2 - 2*y
Let h(x) = -x + 1. Let f(n) = -2 - 7*n**2 + 3*n + 6*n**2 + 1. Let b(q) = -q**2 + 2*q + 2. Let y be b(3). Let p = 325 - 327. Give p*h(a) + y*f(a).
a**2 - a - 1
Let f(v) = -6*v**2 - v - 6. Suppose 4*l - 5 = -25. Let w(r) be the first derivative of -7*r**3/3 - r**2/2 - 7*r - 2. What is l*f(y) + 4*w(y)?
2*y**2 + y + 2
Let z(g) = -10*g - 10. Let k be -2*1/(8/220). Let v = k - -58. Let p(t) = 2*t + 2. Give v*z(d) + 16*p(d).
2*d + 2
Suppose 112 = 16*v + 12*v. Let n(m) = 3*m**2 + 2*m + 4. Let g(k) be the third derivative of k**5/30 + k**4/24 + k**3/2 + k**2. What is v*g(s) - 3*n(s)?
-s**2 - 2*s
Suppose 36*o - 38*o + a + 7 = 0, -2*a = -10. Let q(z) = -64*z + 22. Let x(r) = -9*r + 3. Give o*q(t) - 44*x(t).
12*t
Let g(z) = -z. Let c(d) = 3*d**2 + d. Let h(b) = c(b) + 3*g(b). Let w(x) = 297*x**2 - 11*x + 20*x - 310*x**2. What is 9*h(j) + 2*w(j)?
j**2
Let k(q) = 8*q**2 + 6*q + 2. Let a(g) = 17*g**2 + 12*g + 5. Calculate -3*a(d) + 7*k(d).
5*d**2 + 6*d - 1
Let a(q) = -q + 3. Let w be (13 - 10)/((-1)/1 + 0). Let s(m) = m + 4 - m - m. Give w*a(f) + 2*s(f).
f - 1
Let o(z) = -3*z**2 + 5*z + 1. Let q(i) = 2*i**2 - 4*i - 1. Let g(p) = p**2 + 8*p - 5. Let m be g(0). Determine m*o(a) - 6*q(a).
3*a**2 - a + 1
Let n(l) = 6060*l**2 + 220*l - 220. Let r(s) = 83*s**2 + 3*s - 3. Determine 6*n(o) - 440*r(o).
-160*o**2
Let v(g) = 8*g**2 + 9*g + 69. Let q(x) = 3*x**2 + 4*x + 33. What is 7*q(m) - 3*v(m)?
-3*m**2 + m + 24
Let g(q) = 10*q - 3. Let k(r) be the second derivative of 3*r**3/2 - r**2 + 387*r. Calculate -4*g(j) + 5*k(j).
5*j + 2
Suppose 3*z = -8 + 5. Let a(h) = h. Let i(g) = -4*g - 23 + 3*g - 2*g + 21. Give z*i(v) - 2*a(v).
v + 2
Suppose 18*l = -94 - 14. Let k(u) be the second derivative of 7*u**3/6 + 3*u**2/2 + u. Let g(y) = -6*y - 3. Calculate l*g(m) - 5*k(m).
m + 3
Let b(j) = -10*j**2 + 26*j - 16. Let a(w) = 2*w**2 - 5*w + 3. Determine -22*a(u) - 4*b(u).
-4*u**2 + 6*u - 2
Let s(a) = -2*a**2 - 3*a + 2. Let o(i) = i**2. What is -3*o(f) - s(f)?
-f**2 + 3*f - 2
Suppose -14*m - m + 45 = 0. Let w(y) be the second derivative of -y**2/2 - y. Let d(l) = l. Give m*w(r) + d(r).
r - 3
Let t = 544 - 538. Let w(v) = -5*v + 2. Let m(i) = -2*i + 1. Let j(o) = 6*o - 3. Let g = 2 - 16. Let k(n) = g*m(n) - 4*j(n). Determine t*k(y) + 5*w(y).
-y - 2
Let w(b) = 5*b**2 + 7*b - 6. Let d(u) = -4*u**2 - 5*u + 4. Let x(n) = -3*d(n) - 2*w(n). Let y(q) = -q**2. Calculate -x(r) - 4*y(r).
2*r**2 - r
Let f(a) = -a**2 - a. Let r(c) = 5*c**2 + 7*c + 3. Give -4*f(j) - r(j).
-j**2 - 3*j - 3
Let t(z) = 8. Let y = -1 + 5. Let i(l) = -1. Let x(r) = y*i(r) + t(r). Let b(s) = -s + 17. Suppose -9 = -4*d - 1. Determine d*b(v) - 9*x(v).
-2*v - 2
Let r(j) = -5668*j**2 + 32*j + 16. Let v(u) = 1134*u**2 - 6*u - 3. Determine -3*r(z) - 16*v(z).
-1140*z**2
Let h(q) = 3 + 0 - 5*q - 1 + 2. Let u(j) = -8*j - 157. Let d be u(-20). Let i(x) = 6*x - 4. Determine d*i(s) + 4*h(s).
-2*s + 4
Let q(x) = -10*x**3 + 3*x**2 - 16*x + 2. Let h(f) = 12*f**3 - 3*f**2 + 16*f - 2. Calculate -6*h(i) - 7*q(i).
-2*i**3 - 3*i**2 + 16*i - 2
Let f(g) = -27*g**2 - 17*g + 4. Let i(x) = 13*x**2 + 8*x - 2. What is -6*f(m) - 13*i(m)?
-7*m**2 - 2*m + 2
Let l = 1 + 0. Let m(o) be the first derivative of -o**4/4 - o**3/3 - o**2/2 + 2326. Let b(j) = j**3 - 2*j**2 - 2*j - 2. Calculate l*b(t) - 2*m(t).
3*t**3 - 2
Suppose -5*r - 3*l + 143 = 0, 89 = 5*r - 2*r + l. Let p(z) = -r*z + 68*z + 1 - 38*z. Let a(t) = t + 2. Determine -a(k) + p(k).
-2*k - 1
Let d(z) = 2*z + 76. Let p(n) = 2*n + 77. Determine 4*d(r) - 5*p(r).
-2*r - 81
Let h(q) = -q**2 + 2*q. Let f(x) = -5*x**2 + 7*x - 6. Calculate -f(m) + 3*h(m).
2*m**2 - m + 6
Let i(u) = u**2 - 9*u + 9. Let r be i(8). Let y be 1*(1 + (-2)/r). Let c(t) = -17 + 31 - 8 + 2*t. Let x(s) = -s - 1. What is y*c(v) - 4*x(v)?
2*v - 2
Let g(u) = 6*u**2. Let w(k) = -4*k**2. Suppose -15 = -10*c + 35. What is c*w(m) + 4*g(m)?
4*m**2
Let t(a) = a**3 - a**2 - a - 2. Let f(j) = 189*j**3 + 42*j**2 + 42*j + 84. Give -f(h) - 42*t(h).
-231*h**3
Let y(d) = 6*d - 1. Let k(s) = -21*s**2 + 18*s + 9. Determine k(v) - 3*y(v).
-21*v**2 + 12
Let a(o) = 3*o**2 - o. Let w(k) = -26*k**2 - 6*k - 1. Give 6*a(s) - w(s).
44*s**2 + 1
Let m(t) be the second derivative of -t**5/20 + 5*t**4/12 - 5*t**3/6 + t**2 - 13*t. Let c be m(4). Let n(a) = -a. Let v(q) = 1. Determine c*v(d) - n(d).
d - 2
Let c(t) be the third derivative of t**3/6 + 3*t**2 + 6*t. Let n(w) = -w**2 + 1. What is -5*c(f) + 5*n(f)?
-5*f**2
Let j(u) = -24*u**3 + 5370 - 3*u - 5370. Let v(l) = 71*l**3 + 8*l. Determine -8*j(t) - 3*v(t).
-21*t**3
Let r(g) = -398*g - 4. Let l(i) = 198*i + 2. Determine 11*l(h) + 6*r(h).
-210*h - 2
Let q(i) = -4*i**3 + 3*i**2 - 7*i + 5. Let l be q(1). Let m(f) = 26*f**2 + 16*f + 26. Let n(z) = 5*z**2 + 3*z + 5. Give l*m(o) + 16*n(o).
2*o**2 + 2
Let n(r) = -r**2 + r. Let l(q) = 10*q**2 - 4*q + 2. Let t = 1 - 2. Determine t*l(m) - 4*n(m).
-6*m**2 - 2
Let y(i) = 18*i - 63. Let j(d) = -11*d + 32. What is 5*j(w) + 3*y(w)?
-w - 29
Let o be ((-16)/56)/((-3)/21). Let l(v) = 2*v**2 + 3*v**2 + 3 + 3*v - 12*v**2 + 5*v**o. Let d(h) = -2*h**2 + 4*h + 4. Calculate -3*d(p) + 4*l(p).
-2*p**2
Let l(a) be the third derivative of a**5/60 + a**4/24 + 20*a**2 - 3. Let w(m) = 12*m**2 + 3*m. Calculate 3*l(o) - w(o).
-9*o**2
Let x(a) = -79*a + 2. Let n(k) = 79*k - 3. Calculate -2*n(s) - 3*x(s).
79*s
Let m(t) = t**3 + 8*t**2 + 2*t**3 + 3*t**3 - 8*t. Suppose -5*d - 24 = 2*i - 3*d, 3*d = -4*i - 44. Let j(k) = -2*k**3 - 3*k**2 + 3*k. Calculate i*j(w) - 3*m(w).
-2*w**3
Let h(q) = -5*q - 46. Let d(y) = 11*y + 96. Give -4*d(a) - 9*h(a).
a + 30
Let b(x) = 2*x + 1. Let l(j) = 12*j - 71. Calculate 5*b(d) - l(d).
-2*d + 76
Let u = -26 + 27. Let k(i) = -2*i + 9*i + u - 8*i. Let o(p) = -2*p + 3. Determine 6*k(g) - 2*o(g).
-2*g
Let j(v) = -v**2 + 1. Suppose -2*b - b + 6 = 0. Let c be j(b). Let t(a) = -2*a**2 - 2*a - 4. Let s(x) = x**3 - 3*x**2 - 3*x - 5. What is c*t(m) + 2*s(m)?
2*m**3 + 2
Let z(n) = n. Let a(q) = -39*q**2 - 3*q. Determine -a(u) - 6*z(u).
39*u**2 - 3*u
Let p(v) = v**3 - 3*v. Let d = 12 - 7. Suppose d*w - j - 15 - 2 = 0, 5 = -w + 3*j. Let r(h) = h**3 - 4*h. What is w*p(c) - 3*r(c)?
c**3
Let r(x) = -5*x - 63. Let l(t) = 3*t + 32. Give -7*l(v) - 4*r(v).
-v + 28
Let r(y) = 8*y + 17. Let j(l) = l. Suppose 1723*u - 1695*u - 28 = 0. Determine u*r(m) - 6*j(m).
2*m + 17
Let w(h) = 10*h**3 + 3*h**2. Let z(o) be the third derivative of -119*o**6/120 - 7*o**5/12 - 48*o**2. What is -35*w(s) - 3*z(s)?
7*s**3
Let j(p) = -13*p**2 + 5*p - 12. Suppose -40*v - 96 = -16. Let m(c) = -3*c**2 + c - 3. What is v*j(x) + 9*m(x)?
-x**2 - x - 3
Let h(v) = 5*v**3 - 3*v**2 - 2*v + 3. Let n(u) = 3*u**3 - 2*u**2 - 2*u + 2. Let g(d) = 2*h(d) - 3*n(d). Let s(j) = 4*j**3 + 6*j. What is 10*g(o) - 3*s(o)?
-2*o**3 + 2*o
Let p(z) = 5*z - 3. Let w(t) = -4*t + 2. Suppose 3*f - 3*n - 36 = 0, -n + 48 = 5*f - 0*n. Suppose -f = 5*s - 7*s. What is s*p(b) + 6*w(b)?
b - 3
Let j(s) = 6*s - 4. Suppose 0 = 4*z - a - 17, a + 4 + 1 = 0. Let p(g) = -4*g + 8*g - 3*g - 1. Give z*j(n) - 14*p(n).
4*n + 2
Let r(x) = 48*x - 1. Let k(q) = 98*q - 2. What is 3*k(p) - 5*r(p)?
54*p - 1
Let n(w) = -59*w**3 + w - 3. Let x(j) = -118*j**3 + 2*j - 7. Calculate 7*n(t) - 3*x(t).
-59*t**3 + t
Let z(w) = 17*w - 85. Let a(u) = -31*u + 171. Give 6*a(c) + 11*z(c).
c + 91
Let a(d) = 19*d - 71. Let t(l) = 38*l - 156. What is 13*a(x) - 6*t(x)?
19*x + 13
Let f(p) = -p**2 - 1. Let k = -8 + 12. Let l(t) be the second derivative of 0 - 2