w(d) = -35*d**3 + 2*d**2 + 2*d - 2. What is -2*t(o) + 3*w(o)?
-35*o**3 - 4
Suppose 9 = 4*m + j, 5*j - 7*j + 6 = 2*m. Suppose 0 = -h, 4*h - 14 = m*a + 8*h. Let p(k) = k + 10. Let w(f) = -f - 9. Determine a*w(y) - 6*p(y).
y + 3
Let o(z) = 224*z**2 - 2*z. Let f(l) = -l**2 - 2*l + 1. What is f(x) - o(x)?
-225*x**2 + 1
Let k(z) = -8*z**3 + z**2 + z. Suppose 0 = 7*p - 10*p - 3. Let d(u) = -u**3. Calculate p*k(g) + 5*d(g).
3*g**3 - g**2 - g
Let m(r) = -2*r - 3. Suppose n + 3*n + 8 = 0. Let s = n - 10. Let k = s - -16. Let u(g) = -2*g - 3. What is k*u(f) - 3*m(f)?
-2*f - 3
Let w(x) = -x**2 + 5*x - 2. Let u(p) = -2*p**2 + p - 4 + 5*p + 3*p. Let r(c) = c**2 + 10*c - 11. Let i = 21 - 31. Let m be r(i). Give m*w(h) + 6*u(h).
-h**2 - h - 2
Let b(g) = -3*g**3 - 5*g**2 - 6*g - 4. Let t(o) = 2*o**3 + 4*o**2 + 7*o + 5. Give -7*b(n) - 6*t(n).
9*n**3 + 11*n**2 - 2
Let n(a) = 3*a - a**2 - 2*a + 0*a**2. Let w(v) = -2*v - 2*v - 2*v + 8*v**2. Suppose 252*f = -39*f + 404 - 113. Give f*w(h) + 6*n(h).
2*h**2
Let l(g) = 33*g**3 - g**2 - 5*g + 1. Let t(u) = 32*u**3 - u**2 - 4*u + 1. Give -5*l(b) + 6*t(b).
27*b**3 - b**2 + b + 1
Let y(c) = -c**2 - 2*c + 104. Let j(u) = 2*u**2 + 4*u - 209. Give -3*j(a) - 5*y(a).
-a**2 - 2*a + 107
Let t(q) = -4 - 4*q**2 - 4*q + 4*q. Suppose 0*b + 4*y = -3*b - 78, -5*y - 125 = 5*b. Let u(d) = 15*d**2 + 15. What is b*t(a) - 6*u(a)?
-2*a**2 - 2
Let l(w) = 4*w - 2. Let y(g) = -71*g - 12. Give 3*l(c) - y(c).
83*c + 6
Let b be 72/38 + (-170)/190 + 1. Let f(a) = 9*a**2 + 5*a + 5. Let j(w) = 4*w**2 + 2*w + 2. Determine b*f(y) - 5*j(y).
-2*y**2
Suppose -m + g + 1 - 5 = 0, -4*m = -2*g + 12. Suppose 8 + 6 = 14*c. Let b = c + m. Let n(y) = -y. Let i(w) = 2*w + 2. Calculate b*i(r) - n(r).
-r - 2
Let i(j) = -10*j**2 + 3*j. Let x(g) = -g**2 - 18*g - 60. Let d be x(-5). Let t(q) = 19*q**2 - 5*q. Calculate d*i(l) + 3*t(l).
7*l**2
Let c(s) = 50*s**2 - 5*s - 10. Let l(p) = 50*p**2 - 4*p - 8. Determine 4*c(z) - 5*l(z).
-50*z**2
Let u(j) = 17*j - 7. Suppose -34*k = -53*k - 95. Let o(v) = -8*v + 3. Give k*o(x) - 2*u(x).
6*x - 1
Let q(r) = 5*r + 8. Let f(s) = 2*s + 3. Let z(p) be the second derivative of -p**4/12 - p**3 - 13*p**2/2 + 18*p. Let v be z(-3). What is v*q(k) + 11*f(k)?
2*k + 1
Let c be ((-12)/(-15))/(8 - 118/15). Let n(k) = -8*k + 7. Let p(b) be the third derivative of -b**4/24 + b**3/6 - b**2. Calculate c*p(r) - n(r).
2*r - 1
Let q(p) = -4*p**2 + 6*p. Suppose -80 = 157*b - 173*b. Let m(o) = 5*o**2 - 5*o. What is b*q(v) + 6*m(v)?
10*v**2
Suppose 7*n - 14 = -0*n. Let o(r) = r + 1 + 22*r**n - 12*r**2 - 11*r**2 - 2. Let h(v) = 4*v**2 - 6*v + 4. Give -h(f) - 5*o(f).
f**2 + f + 1
Let h = -685 - -696. Let s(l) = 14*l - 6. Let a(j) = 3*j - 1. Give h*a(p) - 2*s(p).
5*p + 1
Let p(c) = 6*c**3 - 2*c**2 - c. Let l(o) = -42*o**3 + 15*o**2 + 6*o. What is 2*l(k) + 15*p(k)?
6*k**3 - 3*k
Let t(h) = 100*h + 197. Let p be t(-2). Let z(n) = -12*n. Let d(x) = -12*x. Determine p*d(s) + 4*z(s).
-12*s
Let u(l) = l. Let s(k) = 4*k - 3*k + 0*k. Suppose p - 4*c = 12, -2*c = 25*p - 24*p. Give p*u(j) - 3*s(j).
j
Let p(j) = -13*j**3 - 4*j**2 - 4*j. Suppose 8*d = 3*d + 20. Let w(l) = 105*l**3 + 33*l**2 + 33*l. What is d*w(k) + 33*p(k)?
-9*k**3
Let o(y) = 5*y**3 - 7*y. Let r = -8 + 1. Let a(z) be the second derivative of 0 + 0*z**2 + 0*z**4 + 1/5*z**5 - z**3 + 11*z. Give r*a(g) + 6*o(g).
2*g**3
Let a(c) = -1. Let x(q) be the third derivative of q**6/30 - q**3/2 - 484*q**2. What is -6*a(o) + 2*x(o)?
8*o**3
Let r(x) = 2 - 863*x + 864*x - 3 - 5 + 6*x**2 + 3. Let o(s) = 7*s**2 + s - 4. Calculate -3*o(b) + 4*r(b).
3*b**2 + b
Let k(c) = c**2 + 5*c - 4. Let j(w) = 2*w + 42 + 5*w - 60 + 7*w + 3*w**2 + 7. Determine -3*j(u) + 8*k(u).
-u**2 - 2*u + 1
Let n(j) = -118*j**3 + 3*j**2 + 5*j - 6. Let d(c) = -117*c**3 + 2*c**2 + 4*c - 4. Give -3*d(o) + 2*n(o).
115*o**3 - 2*o
Let b(w) = 17*w. Let m = -7 - -15. Let o(l) = -6*l. What is m*o(s) + 3*b(s)?
3*s
Let i(s) = -4*s**3 - 3*s - 3. Let t(a) = -7*a**3 - 7*a**2 - 5*a + 1. Let h(c) = -7*c**3 - 6*c**2 - 5*c. Let g(d) = 6*h(d) - 5*t(d). Determine 3*g(y) - 5*i(y).
-y**3 - 3*y**2
Let y(f) be the first derivative of -f**2 + 2*f - 14. Let i(r) = -5*r + 5. Determine -3*i(d) + 8*y(d).
-d + 1
Let r(q) = 9*q + 19. Let i(n) = 5*n + 10. Let y(f) = -11*i(f) + 6*r(f). Let c(a) be the first derivative of y(a). Let x(z) = -z - 5. Determine -9*c(k) + 2*x(k).
-2*k - 1
Let x(a) = 6*a - 8. Let q(s) = -3. Determine -4*q(b) + 2*x(b).
12*b - 4
Let v(q) = q + 5. Suppose -u + 3*u + 2*t = 10, -2*t = 5*u - 22. Let p(n) = 5*n + 2. Let j be p(-1). Let o(w) = 4. Determine j*v(i) + u*o(i).
-3*i + 1
Let r(k) = -46 - 46 - 47 + 5*k + 138 - 4*k. Let o(l) = 4*l - 11. Give -o(g) + 6*r(g).
2*g + 5
Let c(v) = -11*v**2 + 16*v - 4. Let g(f) = -5*f**2 + 8*f - 2. Determine 3*c(j) - 5*g(j).
-8*j**2 + 8*j - 2
Let r(j) = 21*j + 4. Let w(p) = -9*p - 2. Let l(t) = 2*r(t) + 5*w(t). Let g(i) = -i**2. Determine -g(u) - l(u).
u**2 + 3*u + 2
Let v(q) = -7*q**2 + q - 3. Suppose 38*a = -23*a + 427. Let h(i) = 10*i**2 - i + 4. Determine a*v(f) + 5*h(f).
f**2 + 2*f - 1
Let x(c) = -c. Let v(k) = -6*k + 30 - 62 - k**2 + 33. Let a = 33 + -32. Calculate a*v(l) - 6*x(l).
-l**2 + 1
Let i(b) = 7*b**2 + 8*b - 9. Let x(v) = -1027 - 4*v - 4*v**2 - 1004 + 2036. Calculate 3*i(q) + 5*x(q).
q**2 + 4*q - 2
Let j(s) = -23*s**3 + 5*s**2 + 3*s - 6. Let a(i) = i**3 + 2*i**2 - i + 2. Give 3*a(x) + j(x).
-20*x**3 + 11*x**2
Let r(s) = -1. Let i(f) = -2*f + 6. Let m(k) = 1. Let c(a) = -i(a) + 4*m(a). Give -c(y) + 4*r(y).
-2*y - 2
Let x(s) = 33*s - 4. Let j(b) = -63*b + 9. Give -6*j(c) - 11*x(c).
15*c - 10
Suppose k - 8 = 12. Let b(x) = -9*x + k*x - 7 + 2 - 10*x. Let g(y) = -1. What is 2*b(t) - 9*g(t)?
2*t - 1
Let t = -1 + 5. Let b(r) be the first derivative of 3*r**2/2 - 5*r - 1. Let x(s) = s - 2. Let i = -406 + 395. Give i*x(v) + t*b(v).
v + 2
Let q be 6*(-3 - 21/(-6)). Let f(u) = 2 + 1 + 2*u**2 - 3 + q*u - 4. Let l(n) = -2*n - 10 + 7*n**2 + 14*n - n - 5. Determine -22*f(d) + 6*l(d).
-2*d**2 - 2
Let x(y) = -9*y**2 + 80*y - 2. Let m(j) = -12*j**2 + 80*j - 3. Give -2*m(u) + 3*x(u).
-3*u**2 + 80*u
Let s(k) = -7*k**2 - 6*k. Let l(o) = 8*o**2 + 7*o. Suppose 5*v - 749 = u, 3*v - 3*u - 454 = -7*u. Let t be (-2)/(4 + v/(-35)). Give t*s(r) + 6*l(r).
-r**2
Let y(u) be the third derivative of -u**6/120 - u**5/60 + u**4/6 + 54*u**2 - 1. Let r(h) = h**2 - h. Determine -3*r(w) - y(w).
w**3 - 2*w**2 - w
Let d(p) = -p**3 + 7*p**2 - 4*p + 3. Suppose 0 = -145*c + 156*c - 33. Let s(y) = -y**3 + 6*y**2 - 3*y + 2. Give c*s(g) - 2*d(g).
-g**3 + 4*g**2 - g
Let c be 36 + -30 - (2 + 0). Let i(x) = x**3 + 4*x**2 - 5*x + 3. Let v(f) = -2*f**3 - 5*f**2 + 6*f - 4. Suppose 5*q - 9 - 6 = 0. Give c*i(b) + q*v(b).
-2*b**3 + b**2 - 2*b
Let h(o) = -284*o**3 + 10*o. Let u(q) = 95*q**3 - 3*q. What is -3*h(b) - 10*u(b)?
-98*b**3
Let t(d) be the third derivative of -d**6/15 + d**5/10 - d**4/12 - 7*d**3/6 - 110*d**2. Let g = 10 + -4. Let n(b) = b**3 - b**2 + 1. Calculate g*n(h) + t(h).
-2*h**3 - 2*h - 1
Let k(w) = -7*w**2 - 7*w - 7. Suppose -2*n + 12 = -0*n. Suppose -18 = -326*x + 335*x + 27. Let o(i) = -6*i**2 - 6*i - 6. Calculate n*o(z) + x*k(z).
-z**2 - z - 1
Suppose 5*z = s - 49 + 15, z + 2 = -s. Let y(t) = -t**2 - 8. Let n(r) = -1. Give z*n(w) + y(w).
-w**2 - 2
Let j(z) = -19*z + 10. Let a(m) = 4*m - 2. Suppose 3*q - 3*y + 3 = 0, q + 3*y + 1 = -4. Determine q*j(l) - 11*a(l).
-6*l + 2
Let i(x) = 1. Let w be (19 - (0 + -3)) + 3. Let t = 24 - w. Let m(v) be the third derivative of v**4/24 + v**3/3 + 2*v**2. Calculate t*m(y) + 2*i(y).
-y
Let s(p) = -3*p + 2. Let h = -1360 + 1361. Let d(a) = -a - 1. Calculate h*d(o) - s(o).
2*o - 3
Let k(t) = 3*t**3 + 2*t**2 - 6*t. Let l be ((-67)/(-2))/((-14)/(-28)). Let n(p) = 31*p - l*p - 2*p**3 + 37*p + p**3. What is -k(x) - 4*n(x)?
x**3 - 2*x**2 + 2*x
Let g(q) = -q**2 - q + 1. Let p(z) = 5*z**2 + 4*z - 5. Suppose -5*y + 2*b - 24 = 0, 31*y - 34*y - b - 10 = 0. Calculate y*g(f) - p(f).
-f**2 + 1
Let z(i) = -5*i - 229. Let v(s) = -s. Determine 4*v(p) - z(p).
p + 229
Let h(y) = 2*y**3 + 2*y**2 + 24*y - 2. Let z(o) = 2*o**3 + 3*o**2 + 24*o - 2. Give 3*h(d) - 2*z(d).
2*d**3 + 24*d - 2
Let n(m) = -3*m**2 + m - 4. Let z be 28/21 - -2*1/(-6). Let f(i) = -i**2. Let d(o) = z*n(o) + 2*f(o). Let w(g) = 6*g**2 - g + 5. What is 4*d(u) + 3*