z
Let k(n) = 5*n**2 + 2*n - 4. Let p(m) = 6*m**2 + 3*m - 5. Calculate 3*k(t) - 2*p(t).
3*t**2 - 2
Let d(p) = -9*p**3 - p**2. Let s(a) = a**2 - 1. What is d(v) + s(v)?
-9*v**3 - 1
Let g(w) = -3*w + 7. Let z(j) = -j + 1. Determine -2*g(c) + 14*z(c).
-8*c
Let r(b) = 5*b**3 - 5*b**2 - 5*b. Let k(z) = -8*z**3 + 7*z**2 + 7*z. What is 5*k(x) + 7*r(x)?
-5*x**3
Let v(n) = 4*n - 7. Let p(x) = -7*x + 13. Calculate -3*p(y) - 5*v(y).
y - 4
Let r(i) = -7 + 4 + i + i + 1. Let v(y) = 2*y - 1. What is 5*r(z) - 6*v(z)?
-2*z - 4
Let r(m) = 7*m**3 + 5*m**2 + 5*m - 7. Let n(p) = 3*p**3 + 2*p**2 + 2*p - 3. Let l = -9 - -5. Let a = -1 + l. Suppose 2 = 2*i - 2. Calculate a*n(k) + i*r(k).
-k**3 + 1
Let r(p) = -3*p**3 + 2*p**2 - 2*p + 1. Let f = 1 - -2. Let c = -2 - -1. Let v = 1 - c. Let o(t) = 4*t**3 - 3*t**2 + 3*t - 1. Calculate f*r(k) + v*o(k).
-k**3 + 1
Let t(s) = -299*s. Let o(r) = 10*r. Calculate 91*o(v) + 3*t(v).
13*v
Let d(n) = -6*n**2 + n - 7. Let t(f) = 18*f**2 - 2*f + 22. Let x(v) = 7*d(v) + 2*t(v). Let p(u) = 11*u**2 - 5*u + 10. Give 4*p(w) + 7*x(w).
2*w**2 + w + 5
Let i(v) = v**3 - v - 1. Let r(o) = -5*o**3 + o**2 - 3*o - 3. What is 3*i(c) - r(c)?
8*c**3 - c**2
Let y(r) = 5*r**3 + 7*r**2 - 7*r - 8. Let z(w) = 4*w**3 + 6*w**2 - 6*w - 7. Determine 6*y(s) - 7*z(s).
2*s**3 + 1
Let d(o) = 7*o**3 + 6*o**2 + 4. Let q(a) be the third derivative of -a**6/120 - a**5/60 - a**3/6 - 4*a**2. What is -d(j) - 6*q(j)?
-j**3 + 2
Let q(f) = 2*f - 9. Let v(s) = s + 5 - 13 + 4. Determine -2*q(u) + 5*v(u).
u - 2
Let m be (-1 - -4)*4/(-2). Let l be 3 - 2 - 1/1. Let b(g) = 7*g + l*g**2 - g**2 + 8 - 4*g**2. Let f(w) = -4*w**2 + 6*w + 7. Give m*f(o) + 5*b(o).
-o**2 - o - 2
Let n(r) = 15*r - 7. Let y(l) = 7*l - 3. What is -6*n(d) + 13*y(d)?
d + 3
Let h(o) = 4*o + 64. Let i(q) = -13*q - 193. Give -7*h(g) - 2*i(g).
-2*g - 62
Let q(l) = -25*l**3 - 16. Let t(j) = 5*j**3 + 3. Give -2*q(p) - 11*t(p).
-5*p**3 - 1
Let c(d) = -3*d + 3. Let u(n) = -1. Calculate c(y) + 3*u(y).
-3*y
Let q(p) = 32*p + 3. Let m(w) = -31*w - 3. Calculate -4*m(x) - 3*q(x).
28*x + 3
Let o(f) = 10*f**2 + 14*f. Let t(w) = -2*w**2 - 6*w - 3. Let p(q) = 2*q**2 + 7*q + 4. Let z(j) = -3*p(j) - 4*t(j). Calculate -3*o(m) + 14*z(m).
-2*m**2
Let r(h) = h**2 - 30*h - 6 + 34*h + 4*h**2. Let x(g) = 6*g**2 + 5*g - 7. Give 5*r(y) - 4*x(y).
y**2 - 2
Let s(l) = 10*l + 2. Let c(o) = 7*o + 1. Determine -8*c(g) + 5*s(g).
-6*g + 2
Let d(t) = -4*t**3 + 6*t**2 - 6*t. Let r(q) be the second derivative of 3*q**5/5 - 17*q**4/12 + 17*q**3/6 - 12*q. What is 17*d(m) + 6*r(m)?
4*m**3
Let h(w) = -10*w**3 + 3*w**2. Let a(q) be the first derivative of 19*q**4/4 - 5*q**3/3 + 66. Calculate 3*a(g) + 5*h(g).
7*g**3
Let u(h) = 63*h. Let c(b) = -31*b. Give 14*c(r) + 6*u(r).
-56*r
Let z(a) = -a**2 - 13*a - 3. Suppose -2*y - 6 = -m - m, m - 11 = -3*y. Let j(c) = -c**2 - 9*c - 2. Give m*z(k) - 7*j(k).
2*k**2 - 2*k - 1
Let d(x) = -4*x**3 - 5. Let c = -6 - 0. Let n = c + 0. Let a(b) = -5*b**3 - 6. What is n*d(r) + 5*a(r)?
-r**3
Let s(d) = -2*d**2 + 3*d - 4. Let y(b) = b**3 - b**2 + 2*b - 3. Let f be y(3). Let x be 7/(f/(-4))*3. Let c(n) = -2*n**2 + 2*n - 3. Give x*s(o) + 5*c(o).
-2*o**2 - 2*o + 1
Let o(g) = -6*g. Suppose 0*d + 5*d = 25. Let b(p) = -7*p. Calculate d*b(r) - 6*o(r).
r
Let f(w) = -w. Let p(h) = -h**3 + 14*h**2 - 13*h + 7. Let n be p(13). Let o(q) = 2*q + q - n*q. What is 5*f(i) - o(i)?
-i
Let l(h) = 68*h. Let c(s) = -17*s. Calculate 17*c(m) + 4*l(m).
-17*m
Let x(w) = -2*w + 4. Let p(l) = l - 2. Let z = 133 + -137. Give z*x(c) - 7*p(c).
c - 2
Let k(s) be the first derivative of -s**2 - 6*s + 4. Let y(n) = 1. Determine k(f) + 6*y(f).
-2*f
Let f(m) = -4*m - 3. Let v(t) = -1. Let x be (32/(-12))/(1/3*2). Calculate x*v(w) + f(w).
-4*w + 1
Let s(u) = -5. Let a(w) = -14. Let c(y) = -6*a(y) + 17*s(y). Let g(k) = -k - 1. Give -c(i) + g(i).
-i
Suppose p = 4*d - 18, -2*p = -d - 5 + 13. Let x(c) = c**2. Let k(n) = -n**2 + n**2 + 4*n**2. Suppose 2*b + 1 = 3. What is b*k(g) + p*x(g)?
2*g**2
Let w(a) = a**2 - a - 1. Let j(n) = -n**2 + 5*n + 2. Let r be j(5). Let f(v) = 0*v**r - 5 + 2*v**2 + 2 - 3*v. Give f(m) - 3*w(m).
-m**2
Let r = -52 - -51. Let u(y) = -2*y**2 + 4*y + 2. Suppose -d = -f + 9, -4*d + 2*f - 5 - 21 = 0. Let a(s) = -s. Determine d*a(q) + r*u(q).
2*q**2 - 2
Let y = -19 - -22. Let h(t) = 2*t + 3. Let u(m) = 2*m + 4. Calculate y*u(i) - 4*h(i).
-2*i
Let m(j) = 5*j**3 + j**2. Let y(u) = -4*u**3 - u**2 + 1. What is -6*m(x) - 7*y(x)?
-2*x**3 + x**2 - 7
Let q(c) = 2*c + 10. Let p(k) = -k - 1. Determine -4*p(d) - q(d).
2*d - 6
Let q(s) = 6*s - 3. Let m(k) be the first derivative of -k**2 + k - 5. What is 17*m(z) + 6*q(z)?
2*z - 1
Let x(k) = 5*k**3 - 14*k - 4. Let z(d) = -4*d**3 + 13*d + 3. What is -3*x(q) - 4*z(q)?
q**3 - 10*q
Let u(r) = -45*r**3 - 4*r**2 + 4. Let j(d) = -180*d**3 - 15*d**2 + 15. Give -4*j(z) + 15*u(z).
45*z**3
Let b(l) = -9*l. Let i(q) = -7*q + 6926 + 3*q - 6926. Suppose 6*n - 6 = 3*n. Calculate n*b(d) - 5*i(d).
2*d
Let w(u) = 12*u + 8. Let h(s) = -4*s - 3. What is -8*h(k) - 3*w(k)?
-4*k
Let c(b) = -b + 5. Let g(s) = -2*s + 8. Calculate -8*c(m) + 5*g(m).
-2*m
Let r(x) = -x + 3. Let o(v) = 3*v - 9. Let i be -1 + 39/9 + (-6)/(-9). Give i*o(n) + 11*r(n).
n - 3
Let i(w) = 11*w + 15. Suppose -5*a = 2*c + c - 22, -4*c = -4*a + 24. Let x(l) = 7*l + 10. Calculate a*i(n) - 8*x(n).
-n - 5
Let u(o) = 7*o**3 - 11*o**2 - 2*o - 13. Let m(q) = 3*q**3 - 5*q**2 - q - 6. What is 13*m(p) - 6*u(p)?
-3*p**3 + p**2 - p
Let l(m) be the second derivative of m**4/3 - m**3/2 + 5*m**2/2 - 3*m. Let n(k) = -5*k**2 + 4*k - 6. What is -6*l(z) - 5*n(z)?
z**2 - 2*z
Let o(s) be the second derivative of 3*s**5/20 - s**4/6 + s**3/3 - s**2 - 14*s. Let p(g) = -g**3 - g. Determine o(n) + 2*p(n).
n**3 - 2*n**2 - 2
Let u(k) = 2*k + 6. Let w(p) = -4*p - 10. Let z(x) = -12*x - 31. Let g(f) = -8*w(f) + 3*z(f). Determine -4*g(l) - 9*u(l).
-2*l - 2
Let q(o) = -o**2 - 9*o - 6. Let h = 6 + -15. Let r be q(h). Let g(v) = -v + 1. Let k(i) = -i**3 - 3*i + 3. Determine r*g(a) + 2*k(a).
-2*a**3
Let k(d) = -2*d**3 - 4*d**2 + 4*d - 3. Let x = 1 - -3. Let n(w) = -4*w**3 - 7*w**2 + 7*w - 5. What is x*n(r) - 7*k(r)?
-2*r**3 + 1
Let n(a) = -a**3 - 5*a**2 - 5*a + 11. Let l(h) = 2*h**2 + 2*h - 5. What is -7*l(x) - 3*n(x)?
3*x**3 + x**2 + x + 2
Let k(p) = 23*p**3 + 17*p**2 - 17*p - 3. Let b(q) be the second derivative of 2*q**5/5 + q**4/2 - q**3 - q**2/2 - 2*q. Give 17*b(d) - 6*k(d).
-2*d**3 + 1
Let s(w) = -w. Let d(z) = 11*z - 4. Let h(f) = -d(f) - 6*s(f). Let l(c) be the first derivative of -c**2/2 + c - 2. What is h(k) - 6*l(k)?
k - 2
Let t(j) = j**2 - j + 1. Let q(i) = 3*i**3 + 7*i**2 - 7*i + 7. What is -3*q(w) + 21*t(w)?
-9*w**3
Suppose 4*h + 32 - 8 = 0. Let w(g) be the first derivative of g**4/4 - 2*g**3 + 4*g**2 + 14. Let p(s) = s**3 - 7*s**2 + 9*s. Give h*p(n) + 7*w(n).
n**3 + 2*n
Let j(q) = 8*q - 3. Let h(l) = -3*l + 1. Give -11*h(s) - 4*j(s).
s + 1
Let b(y) = -2*y + 4*y - y**3 - 4 - 4*y. Let d(g) = 9*g**3 + 2*g + 2 - 5*g**3 - 3*g**3 + 1. Give -3*b(x) - 4*d(x).
-x**3 - 2*x
Suppose -d = 2*d - 114. Let a be 2/4 + d/4. Suppose 4*s + 2*b + b = 11, -5*b = s + a. Let f(z) = 6*z - 4. Let l(k) = k - 1. Give s*l(m) - f(m).
-m - 1
Let y(w) = 7*w**2 + 7*w**2 - 6*w**2. Let c(t) be the second derivative of 5*t**4/4 + 30*t - 1. Calculate -6*c(n) + 11*y(n).
-2*n**2
Let n(g) = 4*g**2 + 4*g - 1. Let b(d) = -8*d**2 - 7*d + 1. What is -3*b(m) - 5*n(m)?
4*m**2 + m + 2
Let c be (-1)/(-4) - (-78)/8. Suppose 22 = 4*j - c. Let d(y) = -2 + 3*y - j*y + 5. Let x(g) = -g + 1. Determine -d(v) + 4*x(v).
v + 1
Let r(i) = 4*i**2 + 26*i + 5. Let h(g) = g**2 - g + 1. Determine 5*h(k) - r(k).
k**2 - 31*k
Let t(m) = 6*m - 3. Let x(i) = 12*i - 6. Give -5*t(s) + 3*x(s).
6*s - 3
Let b(p) = p**2 - 5*p**2 + 14 - 7*p - 9 - 10. Let x be (2 - 2) + 0 + 5. Let v(z) be the first derivative of z**3 + 3*z**2 + 4*z - 1. What is x*v(n) + 4*b(n)?
-n**2 + 2*n
Let y(j) = -j - 4. Let d be y(-7). Let v(k) = 2*k - d + 3 - 3*k + 1. Let i(u) = -u**2 - 1. Let l(a) = -i(a) - v(a). Let m(r) = r. Calculate 2*l(t) - 4*m(t).
2*t**2 - 2*t
Let z(u) = -u. Suppose -2*p = -q + 12, 3*p + 2*p - 45 = -5*q. Let i(a) be the third derivative of -a**4/4 - a**3/6 - 6*a**2. What is q*z(t) - 2*i(t)?
2*t + 2
Let p = 18 - 10. Let r(w) = w**2 + 12*w - 5*w - 6 - p*w.