 1. Let t(o) be the first derivative of -o - 1. Calculate g*t(i) + x*k(i).
-2*i
Let t(d) = d. Let a(j) = -3*j - 1. Suppose 9 = -2*u + 1. Let b = 8 + -6. Suppose -b*g - 3*g - 10 = -5*c, -4*c + 4 = 0. What is g*a(k) + u*t(k)?
-k + 1
Let x(v) = -10*v + 6. Let w(l) = -1. Determine -6*w(m) - x(m).
10*m
Let b(j) = -j**3 + j**2 - 1. Let g(k) = -15*k**3 + 12*k**2 - 12. Let q be ((-1)/3)/(1/(-12)). Let m be (-18)/q*16/(-6). What is m*b(u) - g(u)?
3*u**3
Let b(h) be the third derivative of h**5/60 + 7*h**3/6 - h**2. Let x = 90 + -84. Let g(d) = -2*d**2 - 15. Calculate x*g(l) + 13*b(l).
l**2 + 1
Let a(d) = -d**2 + 1. Let k(o) = -2*o**2 + 3. Let m be 3/12 + -2 + 3/4. What is m*k(z) + 5*a(z)?
-3*z**2 + 2
Let z(n) = -7*n + 6 + 9*n - 2 - 1. Let r(v) = -1. What is -4*r(t) - z(t)?
-2*t + 1
Let s(g) = 2 + 8*g + g + 3*g - 3*g. Let t(d) = 16*d + 5. Let y(l) = l + 1. Let r(x) = -t(x) + 2*y(x). Determine 5*r(k) + 8*s(k).
2*k + 1
Let h(d) = -d**3 + d**2 - 2*d - 2. Suppose 0 = 3*s - 3 + 18. Let m(b) = 3*b**3 - 3*b**2 + 5*b + 4. Calculate s*h(l) - 2*m(l).
-l**3 + l**2 + 2
Let r(k) = -3. Let u(v) = v**2 + 4*v. Let i be u(-3). Let t(j) = -j - 4. Determine i*r(c) + 2*t(c).
-2*c + 1
Let j(y) = 2*y - 22. Let b(m) = -1. Calculate -3*b(g) + j(g).
2*g - 19
Let p(x) = x - 6. Let t = 6 + 0. Let q(a) = a - 7. Suppose 8*g + 28 = 4*g. What is g*p(m) + t*q(m)?
-m
Let p(j) be the third derivative of -j**4/6 - j**3/2 - j**2. Let n = -3 + 0. Suppose -4*s + 23 = -5*o - 4, -1 = -o. Let h(k) = -11*k - 8. Give n*h(w) + s*p(w).
w
Let d(q) = q**2 + 3*q - 3. Let f(b) = 2*b**2 + 4*b - 4. Let a = 5 - 9. Let l(g) = -2*g + 1. Let s be l(-1). Determine a*d(p) + s*f(p).
2*p**2
Let r(l) = l + 1. Let m(d) = 4*d + 4. Let g(x) = x**2 - 6. Let n be g(-4). Determine n*r(a) - 2*m(a).
2*a + 2
Let r(c) = -5*c**2 + 6*c. Let k(x) = x**2 + x - 1. Let w be k(2). Let h(m) = 14*m**2 - 14*m - w*m + 2*m. Calculate -6*h(l) - 17*r(l).
l**2
Let q(r) = 3*r - 4. Let t(m) = -4*m + 5. What is -5*q(f) - 4*t(f)?
f
Let v(a) = 17*a + 2. Let y(k) = -35*k - 5. Give -10*v(n) - 4*y(n).
-30*n
Let c(y) = 4*y + 2. Let u(k) = -k + 1. Let f be u(-4). Let i(l) = -l. Determine f*i(q) + c(q).
-q + 2
Let z(r) = r. Let o be 2 + -3 - (8 + -10). Let v(m) = 2*m**2 + 8*m + 2. Give o*v(i) - 5*z(i).
2*i**2 + 3*i + 2
Let j(w) = -13*w - 51. Let x be j(-4). Let n(q) = q**3 + 2*q. Let m(p) = p. Determine x*n(u) + 2*m(u).
u**3 + 4*u
Let l(z) = -z**2 + 5*z - 2. Let p(g) = -g**2 + 6*g - 2. Suppose 0 = v + 3*s + 1, -37 = 3*v - 5*s - 6. What is v*l(j) + 6*p(j)?
j**2 + j + 2
Let q(w) = -7*w**3 + 49*w**2 - 49*w. Let a(p) = -p**3 + 6*p**2 - 6*p. What is -49*a(z) + 6*q(z)?
7*z**3
Let z(n) = -3*n + 14. Let h(y) = -y + 5. Let p = -35 + 18. Calculate p*h(u) + 6*z(u).
-u - 1
Let p(k) = 25*k**3 - 2*k**2 + 4*k + 2. Let s(r) = -r**2 + r + 1. What is -p(c) + 2*s(c)?
-25*c**3 - 2*c
Let x(w) = 3*w + 2. Let j(a) = -20*a - 12. Let q(h) = 5*j(h) + 32*x(h). Let n(y) be the first derivative of -y**2/2 + y - 1. Determine -9*n(k) + 2*q(k).
k - 1
Let y(u) = 4*u**2 + 4. Let v(g) = g**2 + 1. Let c(p) = -9*v(p) + 2*y(p). Let f(j) = -4*j**2 + j - 3. What is 3*c(n) - f(n)?
n**2 - n
Let h(u) = -16*u**3 - 10*u - 10. Let n = -16 + 26. Let s(p) = 5*p**3 + 3*p + 3. Let v be (-4)/(-14) - 19/(-7). Determine n*s(z) + v*h(z).
2*z**3
Let z(j) = -2*j**2 + 2. Let x(w) = -6*w**2 + 7. Calculate 6*x(l) - 21*z(l).
6*l**2
Let z(v) = v**2 + v + 2. Let j(l) be the third derivative of l**3/6 - 21*l**2. What is 3*j(s) - 2*z(s)?
-2*s**2 - 2*s - 1
Let z(m) = 9*m. Suppose -14 = -4*u + 42. Let c(y) = 4*y. Determine u*c(b) - 6*z(b).
2*b
Let g(y) = 3*y - 4. Let c be 96/56 - (-4)/14. Let k(a) = -16*a + 21. Give c*k(n) + 11*g(n).
n - 2
Let u(k) = 2*k - 9. Let y(v) = v**2 - 2*v + 10. What is -4*u(z) - 3*y(z)?
-3*z**2 - 2*z + 6
Let a(q) = 6*q + 6. Suppose -2 = w + 6. Let g = -3 - w. Suppose 0*h - 29 = 5*h - u, -3*h - 22 = 4*u. Let t(n) = 7*n + 7. Calculate g*t(m) + h*a(m).
-m - 1
Let g(o) = 8*o**2 - 8. Let u(n) = -3*n**2 + 6*n - 3. Let p be u(6). Let d be ((-8)/10)/((-10)/p). Let b(l) = -9*l**2 + 9. Give d*b(s) - 7*g(s).
-2*s**2 + 2
Let i(y) = -2*y. Let m(j) = j**2 + 2*j - 4. Let f be m(-3). Let t(q) = -1. Calculate f*i(w) + 2*t(w).
2*w - 2
Let w(f) = 6*f + 41. Let q be w(-6). Let o(k) = k**3 - k + 1. Let t(h) = -3*h**3 + 6*h - 6. Determine q*o(v) + t(v).
2*v**3 + v - 1
Let x(a) be the first derivative of 0*a + 1 - 1/2*a**2. Suppose -2*j = -0*j + 8. Let l(t) = 3*t. Determine j*l(v) - 10*x(v).
-2*v
Let b(j) = -8*j**3 + 2*j**2 + j. Let a(n) = n**3 + n**2 + n. Give -2*a(u) + b(u).
-10*u**3 - u
Let k(s) = 39*s**3 + 5*s**2 - 5*s + 4. Let a(m) = -19*m**3 - 2*m**2 + 2*m - 2. Determine -5*a(q) - 2*k(q).
17*q**3 + 2
Let h(w) = 5*w - 1. Let c be h(-1). Let u(y) = -15*y**2 - 13*y - 11. Let t(j) = 0*j + 2*j - 9*j - 8*j**2 - 7 + 1. Determine c*u(b) + 11*t(b).
2*b**2 + b
Let k(d) = 17*d + 1. Let q(b) = b. What is k(c) + 5*q(c)?
22*c + 1
Let i be -3 - -2 - (0 + 2). Suppose 4*q + 19 = 5*v + 5*q, 4*v - 20 = 4*q. Let d(u) = u**3 - 5*u + 3. Let o(r) = r**3 - 4*r + 2. Give i*d(s) + v*o(s).
s**3 - s - 1
Let m(x) = 13*x**2. Let y(i) = i + 3. Let z be y(-6). Let v(c) be the first derivative of -2*c**3 + 12. What is z*m(j) - 7*v(j)?
3*j**2
Let k(z) = 0 + 1 + 4*z + 3*z. Let u be (-1)/(2/(-20)*-2). Let y(d) = -3*d - 3 - d + 2. Give u*y(h) - 3*k(h).
-h + 2
Let j(a) = -2*a**3 - 8*a**2 + 3*a - 8. Let y(q) = -q**3 - 3*q**2 + q - 3. Let v(d) = -d - 12. Let f be v(-20). Give f*y(c) - 3*j(c).
-2*c**3 - c
Let j(v) = 3*v + 2. Let b(u) = 14 - u**3 - 3*u**2 + 10*u**2 - 6 - 8*u. Let x be b(6). Let s(n) = -2*n - 2. Determine x*s(d) - 3*j(d).
-d + 2
Let y = 20 - 22. Let i(q) = -q - 1. Let z(r) = 6*r + 8. Calculate y*z(k) - 14*i(k).
2*k - 2
Let f(g) = -g**3 - g**2 - g + 1. Let o(t) = 2*t**3 + 3*t**2 + 3*t + 4. Give 3*f(h) + o(h).
-h**3 + 7
Let d(f) = -f. Let q(j) = 4*j**2 - 8*j + 2. Give -10*d(c) + q(c).
4*c**2 + 2*c + 2
Let r = 77 + -78. Let n(w) = -w**3 - w**2 + w. Let o(u) = 2*u**3 + 2*u**2 + u. Determine r*n(d) - o(d).
-d**3 - d**2 - 2*d
Let d(g) = g - 4. Suppose 0 = 5*w + 17 - 7. Let s(y) = -y + 3. Let i be (3 + -4)*(-2 + -1). Let p be (-6)/(-2)*i/(-3). Give p*s(o) + w*d(o).
o - 1
Let z be (4/3)/((-8)/(-48)). Let p(f) = 7*f**3 + 3*f**2 + 3. Let l(i) = -20*i**3 - 8*i**2 - 8. Calculate z*p(q) + 3*l(q).
-4*q**3
Let u(k) = k**3 + k + 1. Let h(x) = -3*x**3 + 23*x - 5. Calculate -h(s) - 5*u(s).
-2*s**3 - 28*s
Let k = 7 + 1. Suppose -2*o - 5*q + 16 = 0, -3*o = -q + 1 - k. Let v(s) = -2*s**2 - s - 4. Let n(t) = -t**2 - 1. Calculate o*n(g) - v(g).
-g**2 + g + 1
Let d(y) = 5*y**2 - 16 + 17 - 2*y**2. Let m(n) be the third derivative of 13/60*n**5 - n**2 + 0 + 0*n**4 + 2/3*n**3 + 0*n. Determine 9*d(t) - 2*m(t).
t**2 + 1
Let m(r) = -32*r**3 + 6. Let k(t) = -t**3 + 1. Determine -6*k(u) + m(u).
-26*u**3
Let d(b) = -b**2 + 6*b. Let j(s) = -s. Let r be 1/((-2)/10 - 0). Let t = -3 - r. Suppose -y + 1 = -3*c, c = t*y + 2*y + 7. Give c*d(u) - 4*j(u).
u**2 - 2*u
Let k(z) = -8*z**2 + 7*z + 1. Let h(d) = -7*d**2 + 6*d + 1. Let q = 28 + -21. Give q*h(l) - 6*k(l).
-l**2 + 1
Let u(v) = -3*v**3 - 7 + v**3 + 7*v**2 - 3*v**3 - 8. Let z(b) = 2*b**3 - 3*b**2 + 7. Determine -4*u(g) - 9*z(g).
2*g**3 - g**2 - 3
Let t(j) = -2*j - 11. Let a(h) = 6*h + 32. What is -4*a(i) - 11*t(i)?
-2*i - 7
Let t(p) = 7*p**3 + 11*p**2 - 9*p - 13. Let h(x) = -3*x**3 - 5*x**2 + 4*x + 6. Let w(v) = v**2 + 16*v + 6. Let r be w(-15). Determine r*h(u) - 4*t(u).
-u**3 + u**2 - 2
Let s(w) = 4*w**3 - 24*w**2 - 5*w + 11. Let t(o) = -2*o**3 + 12*o**2 + 2*o - 5. Determine 3*s(c) + 7*t(c).
-2*c**3 + 12*c**2 - c - 2
Let q(p) = 1. Let j(s) = 7*s + 4. What is -j(b) + 2*q(b)?
-7*b - 2
Let j(m) = -17*m**3 + 2*m + 2. Let f(t) = 35*t**3 - 5*t - 5. Give 2*f(c) + 5*j(c).
-15*c**3
Let r(z) = -z - 1. Let b(d) = -2*d - 2. Let i = 32 + -18. Suppose q - i = -2*k, 5*q - 26 = 3*k - 2*k. Calculate q*b(j) - 13*r(j).
j + 1
Let f(j) = -4*j + 2. Suppose 0 = 31*n - 27*n - 20. Let h(z) = 4*z - 3. Give n*f(i) + 4*h(i).
-4*i - 2
Suppose 6*t = 7*t - 3. Let h(b) be the first derivative of -b**2/2 + 2*b + 5. Let g(i) = 0*i - i + 6 - 3. Give t*g(r) - 5*h(r).
2*r - 1
Let s(v) = 3*v**2 + 7*v + 10. Let p(u) = -6*u**2 - 15*u - 21. Calculate -6*p(y) - 13*s(y).
-3*y**2 - y - 4
Let f(l) = l**3 - l**2 + l - 1. Let d(k) be the first derivativ