**3 - 2*v**2 + 2
Let i(d) = 5*d + 20. Let y(t) = -5*t - 19. Let c(o) = -7*i(o) - 6*y(o). Let q(j) = j + 5. Calculate 2*c(f) + 11*q(f).
f + 3
Let h(k) = 6*k**3 - 124*k**2 - 3*k - 7. Let v(t) = 4*t**3 - 83*t**2 - 2*t - 5. Calculate 5*h(f) - 7*v(f).
2*f**3 - 39*f**2 - f
Let s(q) = -2*q**3 + 17*q + 14. Let g = 70 - 59. Let x(h) = h**3 - 6*h - 5. Determine g*x(y) + 4*s(y).
3*y**3 + 2*y + 1
Let m(l) = 7*l. Let y(i) = -3*i. Calculate -2*m(v) - 5*y(v).
v
Let t(w) = -3*w. Let n be t(-2). Let r(c) = -3*c + 6. Let k(f) = -1. Determine n*k(b) + r(b).
-3*b
Suppose i - 4*k - 18 = 0, -2*k = i + 2*k + 14. Let h = 3 + i. Suppose -h*a + 0*a + 5 = 0. Let g(m) = 1. Let f(l) = 2*l**2 - l. Determine a*g(o) + f(o).
2*o**2 - o + 1
Let c(o) = 20*o - 1. Let k(b) = -b + 1. Determine 4*c(v) + 4*k(v).
76*v
Let y(v) = v. Let m(h) be the third derivative of -h**5/60 - h**4/4 + h**3/3 - 2*h**2 - 4. What is m(r) + 6*y(r)?
-r**2 + 2
Let h(z) = z + 20. Let t(y) = 2*y + 41. What is -5*h(l) + 3*t(l)?
l + 23
Let o(g) = 4. Let x(n) = n + 3. What is 3*o(v) - 4*x(v)?
-4*v
Suppose 3*o = 2 - 53. Let x(a) be the first derivative of -17*a + 23/2*a**2 + a**3 - 1 + 3/4*a**4. Let z(u) = -u**3 - u**2 - 8*u + 6. Give o*z(v) - 6*x(v).
-v**3 - v**2 - 2*v
Let z(y) = y**3 + y - 1. Let x(m) = 4*m**3 - m**2 + 5*m - 5. Determine -x(l) + 5*z(l).
l**3 + l**2
Let a(s) = -5*s + 6. Let o be (-4)/12 + 77/(-3). Let j = o + 39. Let k(v) = -5 + 5 - 11*v + j. Calculate -13*a(m) + 6*k(m).
-m
Let o(n) be the first derivative of -n + 12. Let v(u) = -u - 8. Let i = 4 - 6. What is i*v(f) + 18*o(f)?
2*f - 2
Let n(c) = 5*c**2 + 9*c - 9. Let h(r) = r - 1. Let g(y) = 6*h(y) - n(y). Let x(v) = -4*v**2 - 2*v + 2. Give 2*g(l) - 3*x(l).
2*l**2
Let h(z) be the first derivative of -5*z**3/3 + 9*z + 6. Let r(y) = -4*y**2 + 8. Give 6*h(l) - 7*r(l).
-2*l**2 - 2
Let n(a) be the first derivative of -a**2/2 + 3*a - 2. Let c(p) be the first derivative of -p**2 + 7*p + 97. Determine 6*c(v) - 13*n(v).
v + 3
Let c(x) = -5*x - 1. Let y(q) = -4*q - 1. Let w(i) = -3*i - 9. Suppose -10*o - 8 = -8*o. Let u be w(o). Let s = -6 - -4. What is s*c(j) + u*y(j)?
-2*j - 1
Let m(t) = 4*t + 5. Let d(l) = 5*l + 6. Suppose -f + 4 = o - 2*f, -o + 9 = 4*f. Suppose -k + 4 = 3*k - 2*w, o*k - 2*w - 7 = 0. Give k*d(i) - 4*m(i).
-i - 2
Let f(o) = o**2 - 2*o + 1. Let z(w) = w**3 - w**2 + 1. What is f(a) - 2*z(a)?
-2*a**3 + 3*a**2 - 2*a - 1
Let m(s) = -14*s - 6. Let l(g) = 14*g + 5. Calculate -4*l(c) - 3*m(c).
-14*c - 2
Let p(j) = j**2 - 2 + 0 - 2*j**2. Let f(a) = 2*a**2 + 3. Suppose -2*d + 0*d - 4 = 0. Let b be -8 + 2 + 2 - d. Calculate b*f(w) - 3*p(w).
-w**2
Let n = 14 + -14. Suppose n*i + 5*i = -2*v - 5, 2*i - v - 7 = 0. Suppose -w - 2 = 4. Let u(x) = -5*x. Let g(r) = -r. Give i*u(d) + w*g(d).
d
Let k(b) be the third derivative of -b**4/12 - b**3/3 - b**2. Let a(p) be the first derivative of -5 + 1/2*p**2 + p. Calculate -6*a(r) - 4*k(r).
2*r + 2
Let p(d) = -13*d**2 - 3*d + 9. Let r(c) = -6*c**2 - 2*c + 4. Give -4*p(y) + 9*r(y).
-2*y**2 - 6*y
Let i(q) = -9. Let f(y) = y + 17. Let p(t) = 3*f(t) + 5*i(t). Let g be p(-5). Let m = 7 + g. Let h(r) = 2*r**2 - 3. Let w(u) = u**2 - 2. Give m*h(j) + 3*w(j).
-j**2
Let r(z) = -3*z**3 + 5*z**2 - 7*z. Let i(t) = t**2 - t. Determine -5*i(x) + r(x).
-3*x**3 - 2*x
Let g(y) = -3*y**3 + 5*y**2 + 4*y. Let l(b) = 3*b**3 - 6*b**2 - 5*b. Suppose -5*q - 5 = 4*d, -3*q - 2*d - 10 = q. Determine q*l(s) - 6*g(s).
3*s**3 + s
Let i(d) = 20*d - 16. Let q(j) = -61*j + 47. Let v(n) = -8*i(n) - 3*q(n). Let s(g) = 11*g - 6. Give 13*s(c) - 6*v(c).
5*c
Let b(u) = -u**3 + u**2 - 3*u - 3. Let y(k) = -k**3 - 4*k - 2. Let r(v) = -v**2 + 1. Let w(o) = -2*r(o) + y(o). Give 4*b(z) - 3*w(z).
-z**3 - 2*z**2
Let n(z) = -z + 7. Let o(p) = 2*p + 2. Let f be o(4). Suppose -3*g + f = -8. Let j(y) = -y + 6. Calculate g*j(u) - 5*n(u).
-u + 1
Let b(s) = 6*s**2 - 5*s - 5. Let z(j) = j**2 - j - 1. Suppose -2*d - 3*d - 3*v = -24, 0 = -3*v + 9. Calculate d*z(q) - b(q).
-3*q**2 + 2*q + 2
Let s(q) = -4*q**2 + 2*q + 9. Let w(m) = -2*m**2 + m + 5. Let h(u) = u**2 - 24*u - 5. Let n be h(24). Calculate n*w(d) + 3*s(d).
-2*d**2 + d + 2
Let h(l) = 3*l**2 + 4. Let j(p) = -4 - 4*p**2 - 7 - 4*p**2. Determine 11*h(a) + 4*j(a).
a**2
Let i(u) = 6*u - 3. Let t be (-3)/3 + 7 + -1. Let s(j) = -j. Give t*s(b) + i(b).
b - 3
Let s = 5 + -10. Suppose -5*c - 11 = -6. Let k(a) = a - 1. Let t(m) = -2*m**2 - 3*m + 5. What is c*t(d) + s*k(d)?
2*d**2 - 2*d
Let g(h) = 3*h**3 + 4*h**2. Let o = -9 + 14. Let l(z) = -2*z**3 - 3*z**2. Give o*l(y) + 4*g(y).
2*y**3 + y**2
Suppose -p = 2*k - 2, -4*p + 15 = k - 0*k. Let n(h) = -h**2 + h + 1. Let d(j) = 3*j**2 - 2*j - 4. Calculate k*d(u) - 4*n(u).
u**2 - 2*u
Suppose -3 = v + 4*m - 15, v - 14 = -5*m. Let u(s) = 0*s**3 + v*s - 4*s**2 + 3*s**2 + s**3 - 3*s. Let c(d) = -2*d**3 - d**2 - d. What is c(f) + u(f)?
-f**3 - 2*f**2
Let l(y) = 2*y**2 - 4*y + 1. Let m(o) = o**3 - 9*o**2 + 17*o - 4. Suppose -2*w = -14 + 10. Give w*m(p) + 9*l(p).
2*p**3 - 2*p + 1
Let i(y) = -y**3 + 9*y**2 + 13*y - 17. Let z be i(10). Let t(k) = 8*k - z + 2 + 5. Let d(j) be the first derivative of j**2/2 - j - 1. What is 6*d(u) - t(u)?
-2*u
Let s(g) = 3*g + 2. Suppose -1 = -4*u - 5. Let i(f) = -f - 12. Let o be i(-10). Let w(k) = -k - 1. Determine o*w(h) + u*s(h).
-h
Let u(v) = v**2 + v + 2. Let i(d) be the first derivative of 2*d**3 + 5*d**2/2 + 11*d + 5. Give -2*i(n) + 11*u(n).
-n**2 + n
Let w(k) = -92*k. Let g(b) = -5*b. Determine -80*g(d) + 5*w(d).
-60*d
Let t(w) = -6*w**2 - 16*w - 10. Let m(x) = -2*x**2 - 5*x - 3. Determine -16*m(b) + 5*t(b).
2*b**2 - 2
Let w(t) = t. Let s(d) = -2*d + 3. Let z(c) be the second derivative of -c**3/6 + c**2 + 2*c. Let i(g) = -2*s(g) + 3*z(g). Give 6*i(x) - 5*w(x).
x
Let d(i) be the third derivative of -1/24*i**6 + 0*i**4 + 0*i**3 + 0*i + 0*i**5 + 0 - i**2. Let m(a) = -a**3. Give d(b) - 6*m(b).
b**3
Let a(o) be the first derivative of -o**2 - o + 3. Let b(v) = v. Suppose 5*f - 8*f = -4*y - 12, 3*y - 16 = -4*f. Determine f*b(z) + a(z).
2*z - 1
Let y(z) = 3*z + 2. Let w(x) = -4*x - 2. What is -4*w(k) - 5*y(k)?
k - 2
Let t(o) = 3*o + 7. Let z(m) = -m - 3. What is -4*t(n) - 7*z(n)?
-5*n - 7
Let d(o) = -5*o + 0 + 3 + 4*o - 5 - 2*o**2. Let x(i) = i**3 + 3*i**2 + i + 3. Suppose 0*c - 3*g + 3 = -4*c, -c = -3*g - 6. Give c*d(r) - 2*x(r).
-2*r**3 + r
Let q be (2 + 1)/((-3)/15). Let v be (-15)/(-2)*(-10)/q. Let u(j) = -7*j**2 + 3*j - 5. Let i(t) = 3*t**2 - t + 2. Determine v*i(c) + 2*u(c).
c**2 + c
Let p(r) = 4*r**2 + 7*r - 1. Let j(i) = i**2 + 6*i + 5. Let w be j(-6). Let h(a) = -3*a**2 - 5*a + 1. Let u be (-2 + -5)*5/(-5). Determine u*h(g) + w*p(g).
-g**2 + 2
Let b(a) = 9*a**2 + 13*a - 2. Let m(f) = -14*f**2 - 19*f + 3. Determine 7*b(u) + 5*m(u).
-7*u**2 - 4*u + 1
Let t(j) = 39*j**2 - 24*j. Suppose 92 = -16*m + 476. Let s(a) = -8*a**2 + 5*a. Suppose -3*h + 5*c + 5 = 2*h, 21 = 5*h - c. What is h*t(k) + m*s(k)?
3*k**2
Let p be 2 - 9/(2 + -3). Let a(z) be the third derivative of -z**5/60 - z**4/24 + 2*z**2. Let q(c) = 5*c**2 + 5*c + 1. Calculate p*a(w) + 2*q(w).
-w**2 - w + 2
Let k(l) = -2*l**2 + 4*l + 1. Let j(u) = -u - 1. Suppose f - 7 = -10. Determine f*j(n) - k(n).
2*n**2 - n + 2
Let l(w) = 5*w**3 - 4*w**2 - 3*w + 4. Let q(f) = -6*f**3 + 5*f**2 + 4*f - 5. Let k(t) = -t**2 + 11*t - 13. Let n be k(9). What is n*l(s) + 4*q(s)?
s**3 + s
Let z(f) = -8*f**3 - 2*f**2 - 4. Let o(y) be the second derivative of 17*y**5/20 + y**4/3 + 9*y**2/2 + 7*y. Calculate 6*o(r) + 13*z(r).
-2*r**3 - 2*r**2 + 2
Let c(s) = -2*s**2 - 8*s + 8. Suppose 32 = 27*a - 23*a. Let i(h) = -h + 1. Suppose -5*y = 5*f + 25, -4*y + y - 11 = -f. Give a*i(w) + f*c(w).
2*w**2
Let t(m) = -11*m**2 - 4*m - 1. Let a(h) = -h - 1. What is 3*a(i) - t(i)?
11*i**2 + i - 2
Let x(w) = 3*w**2 + 18*w - 3. Let p(m) = -m**3 - 7*m**2 - 36*m + 7. Calculate 3*p(j) + 7*x(j).
-3*j**3 + 18*j
Suppose -4*h - 9 + 5 = 0. Let j(p) = p**3 + p**2 + p - 1. Let a(g) = 3*g**3 + 5*g**2 + 6*g - 4. Calculate h*a(t) + 4*j(t).
t**3 - t**2 - 2*t
Let t(q) = -9*q**2 - 7*q - 2. Let m(o) = 8*o**2 + 6*o + 2. Give -7*m(y) - 6*t(y).
-2*y**2 - 2
Let a(s) = 3*s**2 - s. Let y(i) = 4*i + 7*i**2 - 7*i + i**2. Let o(w) = 11*a(w) - 4*y(w). Let n(u) = -6*u**2 - 5*u + 1. Determine -n(t) - 5*o(t).
t**2 - 1
Let p(o) = -2*o - o - 3*o - 5. Suppose -