 1
Let s(r) = -3*r**3 + 4. Let a(z) = z**3 - 1. Suppose -12 = -5*o - 32. Determine o*s(m) - 14*a(m).
-2*m**3 - 2
Let m(y) = 207*y**3 - 3*y**2 - 11. Let k(r) = -69*r**3 + r**2 + 4. Calculate 11*k(z) + 4*m(z).
69*z**3 - z**2
Let v(g) be the second derivative of -g**3/6 + g**2 - g. Let t(d) = 2. Calculate 3*t(r) - 2*v(r).
2*r + 2
Let q(m) = 6*m**3 + 2*m**2 - 3*m. Let r(n) = -11*n**3 - 3*n**2 + 5*n. Let w(j) = 2*j**3 + 4*j**2 + 2*j. Let t be w(-2). Determine t*r(l) - 7*q(l).
2*l**3 - 2*l**2 + l
Let i(x) = -5*x - 5. Suppose -3*h + 2*h = 0. Let b(p) = 4 - 3 + 0*p + h + p. Determine 3*b(c) + i(c).
-2*c - 2
Suppose -3 - 1 = j. Let d(y) be the first derivative of -y**2 - 6*y - 2. Let s(k) = -k - 5. Suppose -3*u + u + 6 = 0. Determine j*s(n) + u*d(n).
-2*n + 2
Let v(i) = -5*i**2 - 2*i + 3. Let s(w) = 26*w**2 + 10*w - 16. Determine 2*s(d) + 11*v(d).
-3*d**2 - 2*d + 1
Let a(j) = 47*j**2 - 11*j + 11. Let l(v) = 16*v**2 - 4*v + 4. Determine -4*a(k) + 11*l(k).
-12*k**2
Let v(g) = g**2 + g - 2. Let d be v(-3). Let w(t) = t**2 + t - 1. Let h(z) be the first derivative of -5/3*z**3 - 3*z**2 + 4 + 3*z. What is d*w(o) + h(o)?
-o**2 - 2*o - 1
Let l(o) = -4*o**3 + 36*o**2 - 36*o + 36. Let i(h) = -h**2 + h - 1. What is 144*i(p) + 4*l(p)?
-16*p**3
Let r(d) = 44*d**2. Let f(z) be the second derivative of -3*z**4/4 + 17*z. Calculate -24*f(k) - 5*r(k).
-4*k**2
Let u(k) = k**2 + 2*k + 2. Let d(x) = -3*x**2 - 5*x - 10. Let y(r) = -3*r**2 - 5*r - 11. Let s(f) = 6*d(f) - 5*y(f). Calculate 2*s(q) + 5*u(q).
-q**2
Let w(p) = 6*p**3 + 2*p**2 + 3*p - 2. Let m(a) = -a**3 + a**2 - a - 1. Let b(g) = -2*m(g) + w(g). Let i(n) = 7*n**3 + 4*n. Give 4*b(q) - 5*i(q).
-3*q**3
Let a = 8 + -3. Suppose -9*o + a*o - 24 = 0. Let q(h) = 4*h - 17. Let g(w) = w**2 - 7*w - 1. Let m be g(3). Let s(j) = -2*j + 8. Give m*s(r) + o*q(r).
2*r - 2
Let j(z) = z**2 + 6*z - 2. Let i(h) = h - 1. Suppose 15 = -3*n - 3*t, 2*n = 2*t + t + 10. What is n*j(v) + 4*i(v)?
-v**2 - 2*v - 2
Let c(x) = x**2. Let t(j) = 18*j**2. Determine -3*c(p) + t(p).
15*p**2
Let v(d) be the second derivative of 1/3*d**3 + 1/2*d**2 + 0 - 3*d. Let i = -24 + 13. Let n(l) = l**2 - 11*l - 5. Give i*v(k) - 2*n(k).
-2*k**2 - 1
Let y(t) = 5*t - 10. Let h be y(3). Let r(w) be the first derivative of 2*w**3 - 5*w**2/2 - 2. Let n(f) = -3*f**2 + 3*f. What is h*n(l) + 3*r(l)?
3*l**2
Let c(o) = -o**2 + 4*o. Let v(w) = 3*w**2 - 8*w + 1. Let a(f) = 7*c(f) + 3*v(f). Let x(l) = 2*l**2 + 5*l + 4. Determine -4*a(b) + 3*x(b).
-2*b**2 - b
Let u(d) be the first derivative of -11*d**2/2 + 11*d - 23. Let x(l) = -5*l + 5. Let k = -11 - -5. Determine k*u(a) + 13*x(a).
a - 1
Let j(u) = 5*u**2 + 5. Let v(t) = t**2 + 1. Give -j(i) + 4*v(i).
-i**2 - 1
Let m(v) = -v**3 + v**2 + v - 1. Let c be (5 - 3)/(2/4). Let k(p) = -4*p**2 + 3*p + 6*p**3 - 2*p + 4 - 5*p. What is c*m(j) + k(j)?
2*j**3
Let p(l) = 7*l**2 + 2*l - 4. Let m(i) = -8*i**2 - 2*i + 5. Calculate -6*m(q) - 7*p(q).
-q**2 - 2*q - 2
Suppose 3 = 11*k - 8. Let c(d) = 3*d**2 + 6*d + 4. Let s(i) = i**2 + i + 1. Give k*c(x) - 4*s(x).
-x**2 + 2*x
Suppose j = -3*o + 10, 2*o - 5 = -2*j + 3. Let h(a) be the second derivative of a**4/3 - 2*a**3/3 - a. Let c(k) = -5*k**2 + 5*k. What is o*c(g) + 4*h(g)?
g**2 - g
Let c(k) = 45*k - 1. Let x(z) = 136*z - 3. What is 7*c(q) - 2*x(q)?
43*q - 1
Let p(u) be the first derivative of -u + 1. Suppose 1 = -5*y - 5*f - 9, 0 = 5*y - 3*f + 50. Let a(q) = -q - 3. Let n = 89 + -87. Give n*a(b) + y*p(b).
-2*b + 1
Let p(l) = -6*l**3 - 6*l**2 - 20*l + 8. Let b(v) = 2*v**3 + 2*v**2 + 7*v - 3. What is 8*b(n) + 3*p(n)?
-2*n**3 - 2*n**2 - 4*n
Let z(v) be the second derivative of v**4/6 - v**3 - v**2/2 + 26*v. Let b(s) = -3*s**2 + 7*s + 1. Calculate -5*b(y) - 6*z(y).
3*y**2 + y + 1
Let m be -1*(2 - (-1 - 1)). Let g(l) = l**3 + 3*l**2 - 5*l - 2. Let q be g(m). Let u(b) = b + 3. Let k(t) = 4 - 2 - 3. What is q*u(c) + 6*k(c)?
2*c
Let l(s) = s**2 - 3*s + 1. Let r(o) be the first derivative of o**3/3 - 2*o**2 + o - 10. Determine -4*l(h) + 3*r(h).
-h**2 - 1
Let j(r) = 4*r + 7. Let w(g) = -g**3 - 3*g**2 - g - 2. Let f be w(-3). Let z(x) = x + 4. Let p(u) = u + 5. Let k(y) = -3*p(y) + 4*z(y). What is f*j(s) - 5*k(s)?
-s + 2
Let n(i) = -4*i - 3*i + 10 - 14*i**2 - 21 + 3*i**3 - 7*i. Let h(k) = k**3 - 5*k**2 - 5*k - 4. Let p(u) = u - 3. Let z be p(7). Calculate z*n(r) - 11*h(r).
r**3 - r**2 - r
Let v(n) = 56*n**3 - 13*n**2 - 13*n - 13. Let x(a) = 14*a**3 - 3*a**2 - 3*a - 3. Determine 6*v(o) - 26*x(o).
-28*o**3
Let f(k) = -2*k - 3*k + k + 5*k + k**2. Suppose 3*u = -2*b + 5, 5*u - 4*b + 0 - 1 = 0. Let p(l) = l**3 - l**2 + l. Determine u*f(r) - p(r).
-r**3 + 2*r**2
Let w(v) = -27*v**3 + 3*v**2 + 3*v + 3. Let c(k) = 26*k**3 - 2*k**2 - 2*k - 2. What is 3*c(x) + 2*w(x)?
24*x**3
Let q(h) = -h**2 - h. Let z(d) = 72*d**2 + 54*d. Give -108*q(y) - 2*z(y).
-36*y**2
Let o(l) be the first derivative of -l**3/3 - l**2/2 + l + 13. Let f(d) = -3*d**2 - 4*d + 4. Calculate -3*f(u) + 12*o(u).
-3*u**2
Let c(g) = -g + 1. Let l(j) = -3*j. Let f(x) = -2*c(x) + l(x). Let o be ((-36)/(-15))/(2/5). Let k(u) = -1. Give o*k(n) - 2*f(n).
2*n - 2
Suppose -5*c + 1 = -4. Let u(s) = -3*s - 2. Let q(t) = -3*t + 6*t - 4*t + 2*t. What is c*u(o) + 4*q(o)?
o - 2
Let h(m) = -m**2 + 2*m. Let p(f) be the first derivative of -2*f**3 + 15*f**2/2 - 42. What is 30*h(q) - 4*p(q)?
-6*q**2
Suppose -o + 0 = 4*g + 9, o = 4*g + 15. Let s(j) = -2*j**2 + 20. Let w(a) = -a**2 + 7. Calculate o*s(n) - 8*w(n).
2*n**2 + 4
Let g(b) = -b**2 - 2*b + 10. Let l(x) = -x**2 - 4*x + 21. Calculate -5*g(a) + 3*l(a).
2*a**2 - 2*a + 13
Let x(n) = -7*n**2 - 7*n. Let g(v) be the first derivative of -20*v**3/3 - 10*v**2 - 1. Determine 6*g(y) - 17*x(y).
-y**2 - y
Let i(h) = h - 10. Let m(w) = 7*w - 6. Let f be m(4). Let t(q) be the second derivative of 0 + q - 1/2*q**2. Give f*t(p) - 2*i(p).
-2*p - 2
Let g(t) = -2*t**3 + 3*t**2 + 3*t. Let b(r) = 3*r**3 - 5*r**2 - 5*r. Determine 3*b(o) + 5*g(o).
-o**3
Suppose -3*y = 6*y + 135. Let m(d) = -5*d. Let i(t) = -t. Give y*i(c) + 4*m(c).
-5*c
Let b(d) = -d. Let r(g) = -g + 4. Give -2*b(q) + r(q).
q + 4
Let j(r) be the first derivative of -2 - 2*r**3 + 7/4*r**4 + 3*r**2 + 0*r. Let n(h) = -2*h - 3*h + 5*h**2 - 2*h**3 - 4*h**3. Determine -5*j(d) - 6*n(d).
d**3
Let b(v) = -4*v**2 - 5*v - 3. Let s = -19 - -11. Let w(o) = -11*o**2 - 14*o - 8. Let x = 0 + 3. Suppose n + 6 = x*n. Calculate n*w(j) + s*b(j).
-j**2 - 2*j
Let y(q) be the second derivative of -q**4/6 - 5*q**3/6 - 5*q**2/2 + 12*q. Let h(r) = -6*r**2 - 16*r - 16. Determine 5*h(d) - 16*y(d).
2*d**2
Let o(j) = -4*j**3 + 3*j**2 + 2*j - 1. Let y(h) = -21*h**3 + 16*h**2 + 11*h - 5. Let v = 22 + -20. Calculate v*y(l) - 11*o(l).
2*l**3 - l**2 + 1
Let o(x) = 12*x**2 - 8. Let b(g) = 4*g**2 - 3. Calculate -8*b(l) + 3*o(l).
4*l**2
Let f(y) = -20*y - 13. Let q(i) = -7*i - 4. Calculate -2*f(u) + 7*q(u).
-9*u - 2
Let g(t) = 4*t**2 - 6*t. Let u(i) = 5*i**2 - 7*i. Give 3*g(l) - 2*u(l).
2*l**2 - 4*l
Let b(i) be the second derivative of 5*i**4/12 + i**3 + 3*i**2 - 74*i. Let t(x) = -2*x - 13*x**2 - 11*x - 13 + 2*x**2. Give 13*b(k) + 6*t(k).
-k**2
Let a(p) = 12*p**3 + 5*p**2 + 5*p - 5. Let m(y) be the third derivative of y**6/120 + y**5/60 + y**4/24 - y**3/6 - 6*y**2 - 2*y. Determine a(f) - 5*m(f).
7*f**3
Let f(a) = a**2 - 6*a - 2. Let s be f(6). Let u(k) = 1. Let o(d) be the second derivative of -1/6*d**3 + 3/2*d**2 + 0 + d. Calculate s*o(g) + 5*u(g).
2*g - 1
Let l(k) = 15*k**3 - 3*k**2 + 2*k - 3. Let u(z) = 22*z**3 - 4*z**2 + 3*z - 4. What is -7*l(t) + 5*u(t)?
5*t**3 + t**2 + t + 1
Let m(v) = -v**2 - 4*v + 2. Let a(l) = -4*l**2 - 13*l + 6. Determine -2*a(h) + 7*m(h).
h**2 - 2*h + 2
Suppose -3*w - 5*x + 14 = 0, -4*w = -5*w + 2*x + 12. Suppose -7 = -3*f + w. Suppose 1 = -f*j + 6. Let s(a) = a. Let n(c) = 2*c - 1. Determine j*s(r) - n(r).
-r + 1
Let g(m) = m + 6. Let b(l) = l + 5. Suppose n = 4 - 1. Suppose 3*u - n*w = -21, 3*w + 25 = -5*u - 2*w. Determine u*b(r) + 5*g(r).
-r
Let y = 17 - 11. Let w(v) = 2*v**2 - y*v - v**2 - 11*v**2 - 5. Let k(c) = 2*c**2 + c + 1. Determine -11*k(j) - 2*w(j).
-2*j**2 + j - 1
Let l(j) = 2*j - 7. Let s(u) = 2*u - 6. Determine -5*l(v) + 6*s(v).
2*v - 1
Let r be 2 + -5 + -2 + -2 + 8. Let p(m) = m**2. Let n(d) = -7*d**2. Give r*n(l) + 4*p(l).
-3*l**2
Let s(r) = 7*r**3 - r**2