r - 1
Let b(f) = 2*f**3 + 3*f**2 + 2. Let s = 8 - 3. Suppose 0 + 10 = s*o. Let r(h) = 1 + 6 + 8*h**o + 5*h**3 - 2. Determine -8*b(y) + 3*r(y).
-y**3 - 1
Let y(h) = h + 3. Suppose 5*q + 15 = -4*n, 3*q - n + 0*n + 9 = 0. Let s(f) be the second derivative of f**3/3 + 5*f**2/2 - 4*f. Determine q*s(b) + 5*y(b).
-b
Let m(x) be the first derivative of -x**3/3 + 3*x**2 - 3*x + 2. Let d(r) = r**2 - 6*r + 2. What is 3*d(g) + 2*m(g)?
g**2 - 6*g
Let r(y) = 11*y. Let z(n) = -77*n. Determine 22*r(u) + 3*z(u).
11*u
Let n(w) = -10*w**3 - 16*w**2 + 16. Let f be (-10)/25 - 34/(-10). Let h(m) = 0*m**3 - f*m**3 - 1 - 5*m**2 + 6. Let x = 12 - -4. What is x*h(j) - 5*n(j)?
2*j**3
Let x(p) = -20*p**2 - 4*p. Let t(z) = z. Determine 3*t(s) + x(s).
-20*s**2 - s
Let o(m) = -1. Let r(j) = 11*j + 3. Determine o(d) + r(d).
11*d + 2
Let j = 47 + -40. Let k(n) = -4*n**3 + 7*n**2 + 7. Let l(h) = h**3 - 2*h**2 - 2. What is j*l(o) + 2*k(o)?
-o**3
Let b(h) = 8*h**3 + 8*h**2 - 4*h + 6. Let n(c) = -c**3 - c**2 - 1. What is -b(m) - 6*n(m)?
-2*m**3 - 2*m**2 + 4*m
Let c(p) = 2*p + 5 - p + 0*p. Let v = -110 + 113. Let a(w) = 4. Determine v*a(q) - 2*c(q).
-2*q + 2
Let o = -89 + 104. Let i(h) = -3*h**3 - 5*h**2 + 5*h - 5. Let s(q) = -q**3 - 2*q**2 + 2*q - 2. Determine o*s(z) - 6*i(z).
3*z**3
Let a(b) = -1. Let p(z) = z**2 - z - 6. Let o = -2 - -4. Let y(d) = 2*d**2 - 2. Let s be y(o). Determine s*a(m) - p(m).
-m**2 + m
Let c = 0 - 2. Let z(a) be the first derivative of -2*a**2 - 8*a - 4. Let k(s) = s + 2. Give c*z(p) - 9*k(p).
-p - 2
Suppose -3*s + 17 + 8 = 2*b, 2*s = 2*b. Let r(a) = -6*a**3 + 2*a**2 + 2*a. Let x(m) = -13*m**3 + 5*m**2 + 5*m. What is b*r(t) - 2*x(t)?
-4*t**3
Let j(a) = -4*a. Let f(p) = -5*p. Calculate 4*f(d) - 6*j(d).
4*d
Let r(m) = m - 2. Suppose -o + 0*o = -5. Suppose 3*d - 4*d = o. Let i(x) = 2*x - 3. Determine d*r(f) + 3*i(f).
f + 1
Let q(u) be the second derivative of 3*u**2 + u. Let i(n) = 5. Let j(f) = 5*i(f) - 4*q(f). Let g(b) = b - 5. Calculate g(m) + 3*j(m).
m - 2
Let g(w) = w**3 - w**2 + w - 1. Let i(h) = -34*h**3 + h**2 - h + 2. Give g(p) + i(p).
-33*p**3 + 1
Let h(o) = -6*o**2 + 2*o. Let b(y) = -y**2 - y. Calculate -2*b(r) - h(r).
8*r**2
Let t(i) = 4*i**2 + 4*i - 3. Let l(u) = u**3 + 5*u**2 + 5*u - 4. Give -3*l(j) + 4*t(j).
-3*j**3 + j**2 + j
Suppose -4*f + 6 = -6. Let m(c) = 2*c**3 + 4*c**2 + 3. Let w(g) be the third derivative of -g**6/30 - 7*g**5/60 - 5*g**3/6 - g**2. What is f*w(o) + 5*m(o)?
-2*o**3 - o**2
Let d(n) = 46*n. Let w(z) = -31*z. Give 5*d(u) + 7*w(u).
13*u
Let z(m) = -4*m**2 - 9*m + 6. Let g(f) = 3*f**2 + 8*f - 5. Calculate 6*g(d) + 5*z(d).
-2*d**2 + 3*d
Let r(w) = -20*w + 25. Let h(o) = -4*o + 5. Give 11*h(i) - 2*r(i).
-4*i + 5
Let g(b) = 1. Let v(x) = -x - 2. Let r(w) = -2*g(w) - v(w). Let o(z) = -2*z**2 + 6*z. Calculate o(h) - 6*r(h).
-2*h**2
Let n(u) = 17*u + 3 + 0 - 6 + 3*u**2 - 5. Let f(o) = o**2 + 6*o - 3. Calculate -17*f(v) + 6*n(v).
v**2 + 3
Let k(h) = h**2 - h - 1. Let z(d) = -3*d**2 + 10. Determine -2*k(u) - z(u).
u**2 + 2*u - 8
Let u(s) = -s + 2. Let f(t) = t - 3. Let r(y) = 3*f(y) + 5*u(y). Let a(w) be the second derivative of w**3/2 - w**2 + w. What is 4*a(j) + 7*r(j)?
-2*j - 1
Let o(u) = -u. Suppose 8 = -2*q + 2, 3*s - 6 = -4*q. Suppose -s = 2*j - 4. Let n(d) = -6*d - 2. What is j*n(m) + 3*o(m)?
3*m + 2
Let x(a) = 7*a**2 + 5*a + 3. Let g(c) = -c**2 - c. Determine -6*g(z) - x(z).
-z**2 + z - 3
Let j(d) = -9*d**2 + 15*d - 7. Let a(v) = 4*v**2 - 7*v + 3. Calculate -5*a(z) - 2*j(z).
-2*z**2 + 5*z - 1
Let v(i) = i**3 + 4*i**2 - 4*i + 4. Let f(h) = 2*h**3 + 7*h**2 - 11*h + 9. Let w(s) = s**2 + s. Let d(p) = -3*f(p) - 6*w(p). What is -4*d(a) - 27*v(a)?
-3*a**3
Let t(u) = u - 1. Let d(i) = -7*i + 6. Calculate d(x) + 5*t(x).
-2*x + 1
Let f(r) = 4*r - 2. Let u(x) = -13*x + 6. Let j(t) = -t**3 - 5*t**2 - 3*t + 4. Let p be j(-2). Give p*u(n) - 7*f(n).
-2*n + 2
Let z(y) = 2*y. Suppose -4*m + 2*m = -x + 15, -2*m + 5 = 3*x. Let v(b) = -x + 1 - 2*b + 4. Give -4*v(u) - 3*z(u).
2*u
Let r(j) = j - 6. Let g(x) = -x + 5. What is -6*g(f) - 5*r(f)?
f
Let s(i) = 7*i**3 - 5*i**2 - 11*i + 5. Let w(u) = -4*u**3 + 3*u**2 + 6*u - 3. Suppose 14*d = 2*d - 36. Give d*s(z) - 5*w(z).
-z**3 + 3*z
Let a(d) = 2*d**2 + 1. Suppose 4*q + 55 = -5*b - 0*b, 2*q = 0. Let t(o) = -6*o**2 - 3. Calculate b*a(h) - 4*t(h).
2*h**2 + 1
Suppose w - 2 = -0. Let n(u) = 2*u**2 - 2*u**2 + 4*u**2 - 1 - 3*u**w. Let z(q) = 2*q**3 + q**2 - 1. Give n(s) - z(s).
-2*s**3
Let r be (-4)/(-14) + 84/49. Let i(s) be the first derivative of -s + 2. Let l(c) = 5*c + 5 - 3*c - c. Calculate r*l(h) + 9*i(h).
2*h + 1
Let c(a) = -14*a**2 + 20*a - 7. Let f(w) = -5*w**2 + 7*w - 2. Give 3*c(n) - 8*f(n).
-2*n**2 + 4*n - 5
Let s(a) = 4 - a**2 + 11 + 7*a - 7. Let k(t) = -2*t - 2. Let i(l) = l + 1. Let c(x) = -9*i(x) - 4*k(x). What is -6*c(b) - s(b)?
b**2 - b - 2
Let x(a) = a - 2. Let b(h) = -2*h + 3. Give 4*b(k) + 5*x(k).
-3*k + 2
Let c(t) = -13*t + 3. Let i(f) = -f - 1. Give -c(n) - 5*i(n).
18*n + 2
Let k(o) = 55*o**2 + 11*o. Let t(f) = 14*f**2 + 3*f. Give -3*k(p) + 11*t(p).
-11*p**2
Let x(y) = -4*y**2 + 2*y - 9. Let j(z) = 6*z**2 + 5*z + 4. Let t(s) = -2*s**2 - 2*s - 1. Let k(w) = -3*j(w) - 8*t(w). Give 5*k(q) - 2*x(q).
-2*q**2 + q - 2
Let b(s) = 3*s**2 + 32*s + 9. Let v(c) = -c**2 - 16*c - 4. Determine -2*b(g) - 5*v(g).
-g**2 + 16*g + 2
Let b(w) = w**3 - 6*w**2 + w**2 + 0*w**2 + 2*w**2 + 3*w + 3. Let z(t) = -t**2 + t + 1. Give -2*b(v) + 6*z(v).
-2*v**3
Suppose 2*a + 0 = 4. Suppose 0*c - 6 = a*c. Let t(p) = 5*p + 3. Let o(y) = 9*y + 5. What is c*o(s) + 5*t(s)?
-2*s
Suppose -2*j = 3*j. Suppose j*g = 2*g - 10. Let f(w) = -2*w**3 + 4. Let l(m) = -3*m**3 + 2 + 6 + 1 - m**3. Give g*f(y) - 2*l(y).
-2*y**3 + 2
Let m(l) = 2*l**2 - 2*l. Let j(d) = 1. Suppose -5*f + 5*s = -5, -3*f + 4*f - 3*s = 5. What is f*m(k) - j(k)?
-2*k**2 + 2*k - 1
Let s(p) = p + 1. Let r(x) = -x - 8. Determine -3*r(q) - 24*s(q).
-21*q
Let f(q) = -7*q**2 + 4*q + 3. Let p(g) = -6*g**2 + 3*g + 2. Give 4*f(y) - 5*p(y).
2*y**2 + y + 2
Let j(x) = -x**2 + 6*x + 6. Let d(k) = k**2 - 7*k - 7. Suppose -a + 0*a = 7. Calculate a*j(t) - 6*d(t).
t**2
Let s(m) = 3*m + 6. Let p(o) = -2*o - 5. Calculate -6*p(z) - 5*s(z).
-3*z
Let q(y) be the second derivative of y**4/12 + 7*y**3/6 - 3*y**2 - 2*y. Let u(c) = 2*c**2 + 15*c - 13. Let b = 79 - 85. What is b*u(o) + 13*q(o)?
o**2 + o
Let i(y) = 2*y**3 + 5*y**2 + y. Suppose d = 3*d - 6. Let b(c) = -6*c**2 - 3*c**2 + 5*c**2 + 5*c**2. What is d*b(q) - i(q)?
-2*q**3 - 2*q**2 - q
Let s(d) = 3*d + 2. Let z(g) = -g + 1. What is 3*s(m) + 3*z(m)?
6*m + 9
Let y(j) be the first derivative of -5*j**2/2 - 14*j + 5. Let d(g) = 2*g + 5. What is 8*d(f) + 3*y(f)?
f - 2
Let v(h) = -9*h**3 - 7*h**2 + 15*h - 1. Let t(z) = -5*z**3 - 4*z**2 + 8*z - 1. What is -5*t(n) + 3*v(n)?
-2*n**3 - n**2 + 5*n + 2
Let p(h) = -h + 7. Let v(i) = 2*i - 8. Determine 4*p(t) + 3*v(t).
2*t + 4
Let n(t) be the third derivative of t**5/60 - t**3/6 + t**2. Suppose -3 = 6*u + 9. Let r(w) = 3*w**2 - 2. Give u*n(s) + r(s).
s**2
Let p(s) = -4. Let x(y) = 5. Let n(o) = 4*p(o) + 3*x(o). Let w(g) = g - 7. Calculate 14*n(v) - 2*w(v).
-2*v
Suppose 0 = -5*y + y + 44. Let r(a) be the third derivative of -2*a**4/3 - 5*a**3/3 + 2*a**2. Let h(i) = -3*i - 2. Give y*h(j) - 2*r(j).
-j - 2
Let q(c) = 6*c - 5. Let s(g) = -g + 1. Calculate -q(v) - 4*s(v).
-2*v + 1
Let k be 2/(-5) - (-27)/5. Let m(y) = y + 1. Let u(b) = -b + 14. Let g(d) = -10. Let n(i) = -6*g(i) - 4*u(i). What is k*m(p) - n(p)?
p + 1
Let t(m) = 7*m + 4. Let f be (0 + 6)*9/(-2). Let w(r) = -48*r - 27. Calculate f*t(k) - 4*w(k).
3*k
Suppose 2*n + 15 = b + 3, -n + 1 = 3*b. Let y(c) = -6*c**2 - 3. Let a(q) = -7*q**2 - 4. Calculate n*y(d) + 4*a(d).
2*d**2 - 1
Let s(r) = 21*r**2. Let h(f) = 12*f**2 + 5*f. Let m(k) = -35*k**2 - 14*k. Let l(z) = -14*h(z) - 5*m(z). What is -8*l(p) + 3*s(p)?
7*p**2
Let l(r) = -r + 1. Let i(k) = 1. Let u(p) = -2*i(p) + 6*l(p). Let s(g) = -g - 1. Let n(c) = c. Let t(h) = 2*n(h) + s(h). What is 4*t(j) + u(j)?
-2*j
Let g(h) = 2*h**3 + h. Let i be g(1). Let w(v) be the second derivative of v + 5/2*v**2 + 1/3*v**3 + 0. Let y(j) = -3*j - 6. Determine i*y(s) + 4*w(s).
-s + 2
Let f(w) = w**2 - w + 1. Let y(d) = 3*d**3 - 3*d**2 + 6*d - 3. Let o(h) = 4*f(h) + y(h). Let u(m) = 10*m**3 + 4*m**2 + 