*l**2 - 3*l - 1
Suppose 3*z = a - 8, -4*z + z = 5*a - 22. Suppose 3*p = 12, -2*j + 2*p - 4*p + 14 = 0. Let l(v) = -v + 1. Let i(f) = -f + 1. What is j*i(g) + z*l(g)?
-2*g + 2
Let x(g) = -22*g**3 + 55*g. Let m(v) = -v**3 + v. Give -55*m(r) + x(r).
33*r**3
Let p(i) = 11*i**3 + 4*i**2 - 4*i - 4. Let o(d) = -11*d**3 - 5*d**2 + 5*d + 5. Give -4*o(b) - 5*p(b).
-11*b**3
Let k(w) = -7*w**2 + 4*w - 2. Let p(o) = -8*o**2 + 4*o - 2. Let q(l) = 7*k(l) - 6*p(l). Let j(x) = 6*x**2 - 21*x + 11. Determine -2*j(u) - 11*q(u).
-u**2 - 2*u
Let h(d) = -3*d + 2. Let w(p) = 2*p - 3. Calculate -3*h(a) - 2*w(a).
5*a
Let o(c) = 2*c**3 + 5*c + 4*c**2 - 5 + 7*c**3 + c**2 + 2*c**2. Let d(r) = 5*r**3 + 4*r**2 + 3*r - 3. Give 10*d(w) - 6*o(w).
-4*w**3 - 2*w**2
Let m(z) = -11*z**3 - 7*z**2 - 7. Let j = 16 - 12. Let d(y) = y**2 - 3 - 1 - 6*y**3 - 5*y**2. Calculate j*m(h) - 7*d(h).
-2*h**3
Let d(i) = -11*i + 23. Let f(k) = -2*k + 4. What is -6*d(q) + 34*f(q)?
-2*q - 2
Let w(f) = 20*f**2 + 3*f - 1. Let t(m) = -21*m**2 - 4*m + 1. What is 5*t(q) + 6*w(q)?
15*q**2 - 2*q - 1
Let n be (6/9)/(6/(-27)). Let o(k) = -k - 5. Let a(x) be the first derivative of -x**2/2 - 6*x + 1. What is n*a(l) + 4*o(l)?
-l - 2
Let t(h) = -1. Let r(i) = -11*i + 3. Let m(c) = -5*c + 2. Let y(v) = -9*m(v) + 4*r(v). Determine -6*t(a) + y(a).
a
Let z(y) = -3*y**3 + 2*y**2 + 2*y + 4. Let j(h) = 15 + 0*h - 22 + 0*h**2 - 3*h**2 + 5*h**3 - 3*h. Give 4*j(k) + 7*z(k).
-k**3 + 2*k**2 + 2*k
Let w(g) = 56*g**3 - 70*g**2 + 70*g + 70. Let z(l) = -l**3 + l**2 - l - 1. Calculate -w(c) - 70*z(c).
14*c**3
Let x(h) = 3*h**2 + h + 1. Let i(l) = -2*l**2 - l - 1. Suppose -4*a - 2*p + 30 = -4*p, -3*a = -2*p - 25. Let v = -5 + 8. What is a*i(j) + v*x(j)?
-j**2 - 2*j - 2
Let k be ((-70)/21)/(6/(-9)). Let r(u) = -u**2 + 4*u - 7. Let p(b) = 1 + 3*b - 2*b - 2. Calculate k*p(f) - r(f).
f**2 + f + 2
Let l(q) = -q**2 - 3*q - 5. Let x(i) = 2*i**2 + 8*i + 14. Let s = -6 + 14. Give s*l(h) + 3*x(h).
-2*h**2 + 2
Let j(y) = 24*y**2 + 5. Let n(v) = 156*v**2 + 32. What is -32*j(t) + 5*n(t)?
12*t**2
Let z(k) be the third derivative of -k**5/60 - k**4/24 - k**3/6 - 28*k**2. Let r(l) = 9*l**2 + 6*l + 6. Determine -r(j) - 6*z(j).
-3*j**2
Suppose -v = 8 - 2. Let z(j) = -6*j**3 - 3*j**2 - 5. Let f(d) = 7*d**3 + 4*d**2 + 6. Calculate v*z(y) - 5*f(y).
y**3 - 2*y**2
Let c(d) = 5. Let q(u) = 5*u**3 - 7*u**3 + 6 + 3*u**3. Calculate -3*c(w) + 2*q(w).
2*w**3 - 3
Let t(m) = 5*m**3 + 21*m**2 + 6*m - 6. Let o(f) = -4*f**3 - 20*f**2 - 5*f + 5. Determine 6*o(z) + 5*t(z).
z**3 - 15*z**2
Let z(j) = j. Let d be 2 + 5 + -3 + -6. Let f(v) be the third derivative of v**4/24 + 2*v**2. What is d*f(b) + 5*z(b)?
3*b
Let k(i) = i. Let h(b) = -19*b - 2. Let z = -14 + 21. Let t(s) = 28*s + 3. Let x(y) = z*h(y) + 5*t(y). Give 5*k(j) - x(j).
-2*j - 1
Let b(t) = -1. Let j(i) = -4*i**2 + i - 5. What is -6*b(l) + j(l)?
-4*l**2 + l + 1
Let m(q) = -7*q**2 - 4*q - 1. Let c(z) = -6*z**2 - 3*z - 1. Give -6*c(b) + 5*m(b).
b**2 - 2*b + 1
Let w(a) = 1. Let b be (-2)/(-12) - (-685)/30. Suppose 0 = -3*t - 5*x - b, 0 = 3*t - 2*x - 0*x - 5. Let z = -7 - t. Let o(s) = s - 3. Calculate z*w(y) - 2*o(y).
-2*y
Suppose 29 - 7 = 2*c. Let r = c - 24. Let a(t) = -2*t - 10. Let g(q) = -2*q - 9. Let x(n) = 6*a(n) - 5*g(n). Let v(i) = -i - 7. What is r*v(j) + 6*x(j)?
j + 1
Let a = 2 - 8. Let v(n) = -11 + 15*n**3 - 9*n**2 + 13*n**3 - 35*n**3. Let k(m) = -4*m**3 - 5*m**2 - 6. Determine a*v(j) + 11*k(j).
-2*j**3 - j**2
Let y(g) = -1. Let w(q) = 1. Let x = -1 + 3. Let k(p) = -p - 4. Let c(v) = x*w(v) + k(v). Give -c(s) + 2*y(s).
s
Let p(j) = 184*j**3 - 10*j**2 - 16*j - 11. Let t(q) = 37*q**3 - 2*q**2 - 3*q - 2. What is 2*p(s) - 11*t(s)?
-39*s**3 + 2*s**2 + s
Let k(y) be the second derivative of y**2/2 - 27*y. Let g(c) = -4 + 3 - 5 - 2*c. What is -g(p) - 6*k(p)?
2*p
Suppose 3*u + 32 = 5*d, -3*u = d - 6*u - 16. Let b(y) = -y**2 - 5*y. Let m(p) = -p**2 - 4*p. Give d*b(s) - 5*m(s).
s**2
Let m(x) = -3*x**2 - 3*x - 3. Let u(d) = -d**3 + 7*d**2 + 5*d + 5. Determine 5*m(o) + 3*u(o).
-3*o**3 + 6*o**2
Let b(g) = -351*g**3 + 104*g. Let s(r) = 10*r**3 - 3*r. What is -3*b(t) - 104*s(t)?
13*t**3
Let q(t) = 4*t + 3. Let c be q(-2). Let d(u) = -9*u**3 + 5*u**2 - 5. Let v(y) = -14*y**3 + 8*y**2 - 8. What is c*v(k) + 8*d(k)?
-2*k**3
Let q(b) = 3*b + 3. Suppose 0 = 5*c - 36 - 39. Let l = c + -10. Let u(i) = 2*i + 2. Give l*u(x) - 4*q(x).
-2*x - 2
Let g(n) = 2*n**3 + 3*n**2 + 9*n. Let c(h) = h**3 + h**2 + 4*h. What is 7*c(q) - 3*g(q)?
q**3 - 2*q**2 + q
Let v(c) = 1. Let z(x) = 8*x - 3. What is 3*v(r) + z(r)?
8*r
Let h(c) = 18*c**2 - 46*c**2 + 24*c**2. Let l(s) be the third derivative of 3*s**5/20 - s**2. What is -5*h(d) - 2*l(d)?
2*d**2
Let s(d) = 2*d**2 + 4*d - 2. Suppose j + 2 = 2*j. Let r(u) = -4*u**2 + j - 2*u**2 - 5*u + 3*u**2. Calculate 4*r(w) + 5*s(w).
-2*w**2 - 2
Let k(a) = 9*a**3 + 7*a**2 + 5*a - 6. Let n(r) be the second derivative of 2*r**5/5 + r**4/2 + 2*r**3/3 - 5*r**2/2 - 5*r - 4. Give -5*k(u) + 6*n(u).
3*u**3 + u**2 - u
Let z(u) = -u - 1. Let y(t) = -t**3 - t - 1. Let k be -1 + (2 + 2 + -4)/1. Determine k*y(c) - z(c).
c**3 + 2*c + 2
Let a(f) = 14*f**2 - 3*f + 5. Let o(j) = -21*j**2 + 4*j - 7. Give 7*a(n) + 5*o(n).
-7*n**2 - n
Let d(i) = 13*i**3 + 80*i**2 - 6*i - 7. Let a(q) = 9*q**3 + 53*q**2 - 4*q - 5. Determine 7*a(o) - 5*d(o).
-2*o**3 - 29*o**2 + 2*o
Let f(m) = -10*m**2 + 2*m - 5. Let a(v) be the third derivative of -v**5/12 + v**4/24 - v**3/2 - 40*v**2. Give -5*a(y) + 3*f(y).
-5*y**2 + y
Let h(m) = 6*m**2. Suppose 5*b - 4*b + 1 = 0. Let c be b/((-11)/(-4) - 3). Let w(i) = i + 2*i**2 + 3*i - c*i. Determine 3*h(p) - 8*w(p).
2*p**2
Let p(j) = 2*j**2 - 2*j - 7. Let z(u) = -u**2 + u + 4. Suppose -5*f = 20, 3*b + 6*f + 4 = 2*f. Give b*p(v) + 7*z(v).
v**2 - v
Let j(q) = 0*q**3 + 2*q**3 - 4*q**2 - 2*q + 5*q. Let g(b) = b**3 - b**2 + b. Suppose -5*i = 3*c - 38, -4*c = 4*i - 7*i - 12. What is c*g(h) - 2*j(h)?
2*h**3 + 2*h**2
Let y(v) = -21*v**3 - 2*v**2 + 2*v. Let w(q) = 2645*q**3 + 253*q**2 - 253*q. Calculate -2*w(x) - 253*y(x).
23*x**3
Let i(j) = -j - 1. Let u(b) = -b**2 + 11*b + 9. Calculate -22*i(r) - 2*u(r).
2*r**2 + 4
Let y(w) = -w**2 - 4*w + 4. Let d(x) = -x + 1. Let u(f) = -2*f**2 - 15*f + 15. Let t(j) = -6*d(j) + u(j). Give -4*t(l) + 9*y(l).
-l**2
Let k(s) = -s - 4. Let u(h) = -1. Suppose -16*v + 10*v = 36. Calculate v*u(b) + k(b).
-b + 2
Let j(v) be the third derivative of v**4/12 - v**3/2 + v**2. Let m(d) = -10*d + 14. Calculate 14*j(i) + 3*m(i).
-2*i
Let d(n) = -n**2 + 6. Let f(r) = -r**2 + 7. Let o(v) = -4*v - 10. Suppose -4*k = -3*s - 28, 0*s - 2*k = 2*s. Let q be o(s). Determine q*f(p) - 7*d(p).
p**2
Let r(d) = -3*d**2 - 6*d - 6. Let g(v) = v**2 + 2*v + 2. Let j(i) = -8*g(i) - 3*r(i). Let m(l) = l**2 + l + 1. Suppose 4 = 5*h - 6. Calculate h*m(n) - j(n).
n**2
Let d(u) = 5134*u - 238. Let z(c) = -65*c + 3. What is 3*d(a) + 238*z(a)?
-68*a
Let r(a) = -6*a**2 - 14. Let w(f) = 2*f**2 + 5. Let l be 0 - -1*(11 - 0). Determine l*w(q) + 4*r(q).
-2*q**2 - 1
Let s(v) = -v + 1. Let x(y) = -9*y + 3*y + y + 3. Determine 4*s(t) - x(t).
t + 1
Let q(l) = 2*l**3 - l**2 + l. Let v(a) = -3*a**3 + 2*a**2 - a. Suppose 0 = -m + 5*g - 16, 3*m + 5*g = m + 28. Give m*q(t) + 3*v(t).
-t**3 + 2*t**2 + t
Let t(a) = -2*a + 8. Let b(p) = -6*p + 23. Suppose 4*v = -2*i - 62, 5*v - 4*i = 2*v - 63. Calculate v*t(f) + 6*b(f).
-2*f + 2
Let y(f) = -5*f**2 + 2*f - 4. Suppose -2*o + 4 = -o. Suppose -o*q + 2 = -3*i, -1 - 3 = 2*i. Let k be 3/(-6)*2*q. Let d(h) = -h**2 - 1. What is k*y(w) - 3*d(w)?
-2*w**2 + 2*w - 1
Let d(g) = -2*g + 3. Let q(a) = 3*a - 3. Determine 4*d(v) + 3*q(v).
v + 3
Let c(q) = -q**2 - 3. Let b(v) = -v**2 + v - 1. Determine 2*b(g) - c(g).
-g**2 + 2*g + 1
Suppose -4*w + 4 = 16. Let l(u) = 2*u**3 + 3*u**2. Let i(h) = -5*h**3 - 7*h**2. Calculate w*i(b) - 7*l(b).
b**3
Let a(k) = 1. Let o(p) = p**3 + 8*p**2 + 8*p + 3. Let y be o(-7). Let f(u) be the second derivative of u**3/3 - 2*u**2 - u. Give y*a(t) - f(t).
-2*t
Let n(q) = -9*q**2 - 7*q - 1. Let o(k) = -k**2 + 4*k - 5. Let w be o(3). Let s(y) = -4*y**2 - 3*y. Determine w*n(u) + 5*s(u).
-2*u**2 - u + 2
Suppose -w + 3 = -2*g, -3*g - 5*w + 1 + 27 = 0. Let l be -4*(-1 - 0) + g. Let y(j) = 11*j**3 - 8*j - 8. Let r(t) = -7*t**3 + 5*t + 5. Calculate l*y(c) + 8*r(c).
-c**3
Let c