*d(f) - 5*x(f).
-2*f**2 - 9*f
Let j = 3 + -2. Let i(c) = -c**3 - c**2 - 1. Let n(d) = -d**2 - 6*d + 114. Let t be n(-14). Let w(b) = 4*b**3 + 2*b**2 + 2. What is j*w(f) + t*i(f)?
2*f**3
Let t(n) = n**2 + n. Let b(y) = -97*y**3 - 5*y**2 - 5*y. Determine b(f) + 5*t(f).
-97*f**3
Let n(d) = d + 4. Suppose -l - v - 5 = l, -5*l + 20 = -4*v. Let u(f) = -15 - 2*f + 4 + l*f. What is 11*n(b) + 4*u(b)?
3*b
Let b(t) = -5*t**2 - 8*t. Suppose 120*p = 121*p - 4. Let g(h) = h**2 - 8*h + 4. Let s be g(3). Let y(k) = -2*k**2 - 3*k. Determine p*b(u) + s*y(u).
2*u**2 + u
Let k(j) = -j**2 + j. Let h(z) = 2*z**3 + 6*z**2 - 8*z. What is -h(a) - 8*k(a)?
-2*a**3 + 2*a**2
Let q(j) = -3*j**2 - 6*j + 5. Let k(a) = -3*a**2 - 5*a + 4. Calculate 5*k(g) - 4*q(g).
-3*g**2 - g
Let o(c) = -5*c**3 - 2*c**2 + 7*c - 7. Let a(b) = 2*b**3 + b**2 - 4*b + 4. Calculate 7*a(w) + 4*o(w).
-6*w**3 - w**2
Let u(q) = 11*q**3 + 2*q**2 - q + 4. Let t(p) = -32*p**3 - 5*p**2 + 2*p - 11. Give 4*t(z) + 11*u(z).
-7*z**3 + 2*z**2 - 3*z
Let k = -15 - -9. Let m(n) = n**3. Let y(h) = 2*h**3 + h**2 + h. Let s(q) = 3*q**3 + 2*q**2 - 4*q + 1. Let d be s(1). Determine d*y(i) + k*m(i).
-2*i**3 + 2*i**2 + 2*i
Let a(d) = 5*d**3 + 6*d**2 - d. Let l(n) = 4*n**3 + 5*n**2 - n. Let c(t) = 5*a(t) - 6*l(t). Let o(u) = -3*u**3 - 2*u + 1. What is 2*c(q) + o(q)?
-q**3 + 1
Let g(o) = o - 1. Let m(j) = -2*j + 2. Calculate 7*g(n) + 4*m(n).
-n + 1
Let k(w) = 2*w + 7. Let j(s) = s + 4. What is -7*j(h) + 4*k(h)?
h
Let x(w) = 3*w - 4. Let a(j) = 5*j - 4*j + 2*j - 3 + 0*j. Suppose -2*i - 2*i - 2*m + 16 = 0, i - 4 = m. Give i*a(d) - 3*x(d).
3*d
Let l(r) = 30*r**2 - 21*r. Let i(k) = 3*k**2 - 2*k. What is -21*i(b) + 2*l(b)?
-3*b**2
Let h(c) = -2*c**2 + 16*c + 8. Let s(l) = -2*l**2 + 17*l + 7. Give -6*h(n) + 7*s(n).
-2*n**2 + 23*n + 1
Let l(w) = 3*w**2 + 18*w + 7*w**3 - 3*w**3 - 7*w**2 - 16*w. Let a(m) = -m**3 + m**2. Give 6*a(k) + l(k).
-2*k**3 + 2*k**2 + 2*k
Let b(d) = 12*d**2 + 24*d - 24. Let m(s) = -s**2 - s + 1. What is 5*b(c) + 120*m(c)?
-60*c**2
Let v(i) = 7. Let r(p) = 4. Let a(x) = 5*r(x) - 3*v(x). Let s(c) = -c**2 - 2*c + 5. Suppose 2*h = 0, 2*l - 1 = 3*h - 3. Determine l*s(t) - 6*a(t).
t**2 + 2*t + 1
Let p(z) be the first derivative of 2*z**3/3 + 3*z**2/2 + 3*z + 34. Let i(l) = 14*l**2 + 22*l + 22. Calculate -6*i(s) + 44*p(s).
4*s**2
Let q(u) = -u**3 + u**2 - 7*u + 10. Let l = 3 - 10. Let d(s) = -1. Let r(w) = -2*w + 2. Let i(b) = -d(b) + r(b). What is l*i(h) + 2*q(h)?
-2*h**3 + 2*h**2 - 1
Let x(r) = r**2 - 4. Let i be 11 + -6 + (-11 - 3). Let q(f) = -f**2 - 9*f - 4. Let j be q(-8). Let w(c) = 2*c**2 - 9. What is i*x(t) + j*w(t)?
-t**2
Let v(j) = j + 1. Let x(o) = 47*o + 43*o - 3 - 89*o. Give 2*v(k) + x(k).
3*k - 1
Let i = -25 + 35. Let j = i - 8. Let p(d) = d**2 + 5*d + 5. Let r(v) = -v - 1. Calculate j*p(h) + 9*r(h).
2*h**2 + h + 1
Let u(y) = -5*y - 5. Let n(i) be the first derivative of -i**2 - 3*i - 25. What is -5*n(m) + 3*u(m)?
-5*m
Let c(q) = 2 - q**2 - 21*q + 19*q - 4 - q**2. Let v(o) = o**2 - 8*o + 7. Let j be v(7). Let t(i) = 2*i - 3 - 3*i**2 + j*i - 5*i. Determine 8*c(b) - 5*t(b).
-b**2 - b - 1
Let o(f) = 11*f**2 - 2. Let m(h) = 144*h**2 - 27. Calculate -2*m(y) + 27*o(y).
9*y**2
Suppose d + 3*d = 0. Let i = 4 - d. Let y(w) = 6*w + 3. Let o(p) = -p - 1. Calculate i*o(q) + y(q).
2*q - 1
Let d(w) = w - 3*w**3 + 4*w**3 + 1 - w**2 - 2*w. Let x = -9 + 9. Let o be (0 + 1)*(-1 + x). Let i(k) = 7*k**3 - 4*k**2 - 5*k + 5. Give o*i(y) + 5*d(y).
-2*y**3 - y**2
Let c(g) = g**2 + g - 1. Let n(d) = -22*d + 3. Give 2*c(a) + n(a).
2*a**2 - 20*a + 1
Let t(p) = -9*p - 2. Let d(x) = 18*x + 5. Determine 2*d(i) + 5*t(i).
-9*i
Let t = -1 + 3/2. Let k(o) be the first derivative of 1 - 2*o + t*o**2. Let b(z) = -2. Calculate 2*b(d) - 2*k(d).
-2*d
Let r(v) = -1. Let i(q) = -q + 4. Suppose 5*t = 9 + 6. Suppose 3*c - t + 6 = 0. What is c*i(o) - 2*r(o)?
o - 2
Let q(k) = -k**2 + k. Let r(i) = -i**2 + 2*i - 2. Give -2*q(b) + r(b).
b**2 - 2
Let t(x) = -3*x + 3. Suppose 2*i - 10 = 0, -3*f - 8 = -3*i + 1. Let b(k) = 4*k - 2. Calculate f*t(d) + 3*b(d).
6*d
Let b(u) = -3*u**3 + 5*u**2. Let t = 28 - 35. Let d(p) be the second derivative of -p**5/5 + 7*p**4/12 - p. What is t*b(n) + 5*d(n)?
n**3
Let t(a) = -3*a**2 + 9*a - 7. Let n(o) = 2*o**2 - 5*o + 3. Calculate 5*n(s) + 3*t(s).
s**2 + 2*s - 6
Let i(g) = g. Let u(a) = 8*a**2 - 2*a - 1. Determine -2*i(y) - u(y).
-8*y**2 + 1
Let p(m) = 9*m - 3. Let r = 13 + -16. Let w(u) = 17*u - 5. What is r*w(l) + 5*p(l)?
-6*l
Let r(u) = -7*u**2 - 4*u + 5. Let b(c) = c**2 - c - 1. What is -6*b(w) - r(w)?
w**2 + 10*w + 1
Let s(t) = -3*t**3 - t - 2. Let c = 1 - -6. Let i(r) = 10*r**3 - r**2 + 4*r + 7. Calculate c*s(p) + 2*i(p).
-p**3 - 2*p**2 + p
Let b(w) = 3 + w - 3 + 3 - 2 - 2*w**2. Let i(n) = -1. Give b(s) - i(s).
-2*s**2 + s + 2
Let p(a) = 2*a**3 - 4*a**2 - 4*a + 4. Let d(o) = o**3 - 3*o**2 - 3*o + 3. Suppose 4*h + h = -80. Let m = 19 + h. Calculate m*p(x) - 4*d(x).
2*x**3
Let d(h) = 9*h**2 - 8*h + 5. Suppose -2*o + 4*o = -10. Let r(s) = -8*s**2 + 7*s - 4. What is o*d(f) - 6*r(f)?
3*f**2 - 2*f - 1
Let x(q) = q**2 - 5*q - 5. Suppose -4*w + 4*p = -p - 25, -22 = -4*w + 2*p. Let z(j) = 2*j**2 - 4*j - 4. What is w*z(g) - 4*x(g)?
6*g**2
Let k be 46/(-10) + (-20)/50. Let g(z) = 8*z + 5. Let m(y) = -20*y - 12. Give k*m(a) - 12*g(a).
4*a
Let t(z) = -7*z - 28. Let d(f) = 3*f + 14. Give -5*d(i) - 2*t(i).
-i - 14
Let m(q) = -2*q**3 + q**2 - 2*q**2 + 2*q**2. Let v be (-13)/(-3) + (-2)/(-3). Suppose -v = 3*w + 4*g, 4*g - 4 = -0. Let y(o) = o**3. Calculate w*y(s) - m(s).
-s**3 - s**2
Let l(y) = y**2 - y + 3. Let i(r) = -2*r**2 + 2*r - 7. Let t be (-3)/((-4)/4*1). What is t*i(q) + 7*l(q)?
q**2 - q
Let g(k) = -k. Let a(n) = -n + 3. Let u be (2/4)/(2/4). Let h be u*(1 + 1 + -5). Let b be a(h). Let l(z) = 5*z - 2. Calculate b*g(r) + l(r).
-r - 2
Let h(l) = -l**3 + 9*l**2 + l - 4. Let z be h(9). Let s(f) = 2*f**2 + 5 - z. Let d(v) = -4*v**2 - 3 + 3 + 1 + 3*v**2. Determine d(b) + s(b).
b**2 + 1
Let m(i) = -3. Let l(c) = -c - 7. Let u(x) = -4*x**2 - 15*x + 2. Let z be u(-4). Suppose -2*j + 15 = j. Calculate j*m(a) + z*l(a).
2*a - 1
Let d(t) be the third derivative of -t**5/60 + 7*t**4/24 + 7*t**3/6 - 8*t**2. Let o be -1 + (0 - 1) - 3. Let h(p) = p**2 - 4*p - 4. Determine o*h(j) - 3*d(j).
-2*j**2 - j - 1
Let n(q) = -q - 1. Let v(m) = -253*m + 3 + 128*m + 129*m. What is -n(i) - v(i)?
-3*i - 2
Let q(f) = f - 1. Let h(d) = -5*d + 4. Let p = -41 + 38. Calculate p*q(j) - h(j).
2*j - 1
Let d(s) = -1. Let r(t) be the third derivative of -t**4/12 - 7*t**3/6 - 4*t**2. Calculate 6*d(c) - r(c).
2*c + 1
Let o(c) be the first derivative of -2 + c - 1/3*c**3 + 1/2*c**2. Let w(q) = 3*q + 3 - 2*q + 0*q - q**2. Calculate 2*o(t) - w(t).
-t**2 + t - 1
Let y(o) = -224*o**2 - 136*o - 136. Let p(h) = 5*h**2 + 3*h + 3. Determine -272*p(u) - 6*y(u).
-16*u**2
Let a = -3 - -10. Suppose 0*c - 28 = 4*p - 4*c, p = 2*c - a. Let i(b) = -2*b**3 - 6*b. Let j(w) = 2*w**3 + 7*w. What is p*i(l) - 6*j(l)?
2*l**3
Let a(p) = -p**2 + 3. Let y(d) = -d**2 + d - 1. Let v(l) = a(l) + y(l). Let s(m) = 3*m**2 - m - 2. Calculate 4*s(f) + 5*v(f).
2*f**2 + f + 2
Let v(g) be the first derivative of 9*g**2/2 + 2*g - 3. Let i(h) = -1 - 6*h + 3*h - 3*h + h. Determine 7*i(q) + 4*v(q).
q + 1
Let o(q) = 2*q. Let x(t) = -t**2 - 10*t - 11. Let l be x(-9). Let z be l*2 - (-2 + 2). Let m(n) = -2*n. Calculate z*o(a) - 3*m(a).
-2*a
Let d(h) = h + 1. Let t(i) = 7*i + 4. Determine -2*d(j) + t(j).
5*j + 2
Let n(y) = -11*y - 7. Let i(x) = -x - 1. Let b = 124 - 123. Determine b*n(o) - 6*i(o).
-5*o - 1
Let x(a) = 2*a**3 + 6*a**2 + 6*a + 5. Let y(g) = -g**3 + g**2 + g + 1. What is x(w) - 5*y(w)?
7*w**3 + w**2 + w
Let h(q) = 6*q**2 - 5*q - 5. Suppose -3*w - 2 = 19. Let s(i) = 9*i**2 - 7*i - 7. Calculate w*h(n) + 5*s(n).
3*n**2
Let u(q) = -24*q**2 + 2*q + 2. Let l(z) = -913*z**2 + 77*z + 77. What is 2*l(t) - 77*u(t)?
22*t**2
Let k(f) = -2*f**3 + f**2 - 3*f. Let n(a) = 878*a**2 - 4*a**3 - 2*a + 2*a**3 - 877*a**2. Calculate 2*k(c) - 3*n(c).
2*c**3 - c**2
Let s(l) = 4*l**3 - 5*l**2 + 3. Let n(y) = 13*y**3 - 14*y**2 + 8. Determine 3*n(u) - 8*s(u).
7*u**3 - 2*u**2
Suppose -3*f - f + 8 = 0. Let t(u) = 2 + 3*u + u - 7. Let s(m) = 2*m - 2. What is f*t(a) - 5*s(a)?
-2*a
Let b(i) = 5 - 6 + 2. Let k(o) = 2 + 2 