11*t + 28
Let j(s) = 122 + 124 - 244 + 2*s + s**2. Let w(u) = -u**2 - u - 1. Suppose -v - 2*v + 9 = 0. What is v*w(k) + j(k)?
-2*k**2 - k - 1
Let i(r) = 7*r**3 + 7*r**2 + 5*r. Let k(g) = -20*g**3 - 20*g**2 - 15*g. Suppose 5*a + 3*c = 27, -2*a - 5*c + 15 = 8. Give a*k(f) + 17*i(f).
-f**3 - f**2 - 5*f
Let n(p) = -p. Let t(z) = -2*z - 1. Let f = -184 - -185. Give f*t(y) - 6*n(y).
4*y - 1
Let p(y) = -4*y + 548. Let u(w) = 2*w - 277. Calculate 2*p(s) + 5*u(s).
2*s - 289
Let d(a) = -11 + 4*a + 4 + 2 + 3*a**2. Let k(w) = -w**3 + 4*w**2 - 3*w - 3. Let f be k(3). Let q(u) = -2*u**2 - 2*u + 3. Determine f*d(c) - 5*q(c).
c**2 - 2*c
Let t(c) = -388*c**2 - 24*c - 4. Let i(g) = 130*g**2 + 9*g + 1. Determine -8*i(p) - 3*t(p).
124*p**2 + 4
Let d(m) = 16 - 30 + 15. Let a(w) = 8*w + 3. Determine a(r) - 4*d(r).
8*r - 1
Let a(u) = -10*u - 5. Let q(r) = 5*r + 3. Suppose -45 = -8*i - 5. Give i*q(f) + 3*a(f).
-5*f
Let u(w) = -w**3 + 2*w**2 - w - 1. Let q(h) = -333*h**3 + 296*h**2 - 148*h - 148. Determine -q(x) + 148*u(x).
185*x**3
Suppose 0 = -s + 2, -5*y - s - 18 = -0*s. Let m(u) = -u**3. Let t(o) = 6*o**3 + 2*o**2 + o. Determine y*m(h) - t(h).
-2*h**3 - 2*h**2 - h
Let x(m) = -2*m**3 - 2*m**2 - 7*m + 5. Let o(u) = -2*u**2 - 5*u + 6. Calculate -2*o(z) + 3*x(z).
-6*z**3 - 2*z**2 - 11*z + 3
Let i(a) be the first derivative of -2*a + 1/2*a**2 + 6. Let q(b) = b - 3. What is 3*i(k) - 2*q(k)?
k
Let n(t) = -5*t + 32. Let i(v) = 6*v - 33. Calculate 3*i(o) + 4*n(o).
-2*o + 29
Let t(b) = -b**2 - b - 1. Let z = 8 + -6. Let i(d) be the first derivative of d + 443. Suppose -10 = -a - 4*a. Calculate a*i(l) + z*t(l).
-2*l**2 - 2*l
Let i(z) = 5*z - 1. Let o(x) = -6*x + 1. Let v(d) = -d**3 - 10*d**2 - 14*d - 14. Let t be v(-6). Let l be t/(-14) - ((-16)/(-7) - 2). Calculate l*i(h) + 4*o(h).
h - 1
Let x(q) = -7*q + 0*q - 7*q + 13*q - 4*q + 5. Let a(v) = -11*v + 11. What is 4*a(p) - 9*x(p)?
p - 1
Let j(r) = -4*r. Let z be 6 + -11 + 10 - 40. Let u(t) = -49*t. What is z*j(f) + 3*u(f)?
-7*f
Let x(r) = -940*r**2 - 2*r + 2. Let v(d) = -12216*d**2 - 27*d + 27. Calculate -2*v(s) + 27*x(s).
-948*s**2
Let m = 1931 + -1933. Let s(t) = -2*t**2 - 7. Let u(g) = -10*g**2 - 35. Calculate m*u(i) + 11*s(i).
-2*i**2 - 7
Let u be 3 + 1 - 0/(-1). Let s(d) = 2*d + 1 - 5 + 0. Let y(z) = z - 3. Let w = -134 - -131. Determine u*y(j) + w*s(j).
-2*j
Let t(k) = 19*k**3 - 6*k**2 + 26*k - 6. Let v(h) = -2*h**3 + h**2 - h + 1. Give t(j) + 6*v(j).
7*j**3 + 20*j
Let j(c) = -19*c**2. Let n(p) = -p**2 + 3*p + 24. Let x be n(-5). Let t(b) = 96*b**2. Give x*j(o) - 3*t(o).
16*o**2
Let t(c) = -20*c - 8. Let i(j) = j**2 + 3*j - 2. Let q = -22 + 18. Let d be i(q). Let m be (d - 0) + (2 - 8). Let s(r) = -7*r - 3. What is m*t(p) + 11*s(p)?
3*p - 1
Let q(f) = -4*f + 4. Let o(w) = -7*w + 6. Give -3*o(x) + 5*q(x).
x + 2
Suppose 6*t - 7 = 5*t. Let n(i) = -i - t - 5*i + 2*i + 14. Let o(d) = -4*d + 6. Calculate -6*n(f) + 7*o(f).
-4*f
Let v(c) = -6*c + 4. Suppose 6 - 5 = 2*j - 3*m, 5 = j + 3*m. Let f = 4 + 7. Let n(z) = z - 1. What is f*n(u) + j*v(u)?
-u - 3
Suppose 28 = 3*t + t. Suppose t*h - 8 = -1. Let v(c) = -c + 1. Let o(u) = 9*u - 6. Give h*o(y) + 5*v(y).
4*y - 1
Let w be (-2)/(-2) - (-8 + 8). Let j(x) = x. Let m = 3 + 0. Suppose -4*t - p - 5 - m = 0, 2 = -t - 3*p. Let b(r) = -r. Calculate t*j(h) + w*b(h).
-3*h
Let r(s) = -4*s**3 + 7*s**2 + 3*s - 6. Let p(f) = -5 + 6*f**2 - 3*f**3 + 4*f - 14*f + 13*f. Calculate 6*p(k) - 5*r(k).
2*k**3 + k**2 + 3*k
Let w(h) = -6*h**2 + 2. Suppose -27 - 3 = 5*y. Let f(a) = -6*a**2 + 2. Give y*f(g) + 5*w(g).
6*g**2 - 2
Let y(j) = j**2 - j + 1. Let l(g) = -g**3 - 3*g**2 + 3*g - 3. Let f(d) = 4*d + 18. Let h be f(-3). Suppose t = -5*i - 3, 3*i + h = 3. Determine t*l(n) + 6*y(n).
-2*n**3
Let i(o) = o**3 + 5*o**2 - 6*o + 8. Let a(r) = 4*r**2 - 5*r + 8. Give 3*a(n) - 2*i(n).
-2*n**3 + 2*n**2 - 3*n + 8
Let k(t) = 11*t**2 - 3*t + 12. Let z(h) = -h**2 - 2. Let a(f) = -k(f) - 6*z(f). Let s(c) = -9*c**2 + 6*c. What is -5*a(j) + 3*s(j)?
-2*j**2 + 3*j
Let q be ((-126)/(-27) - 3)*6/5. Let r(n) = 1. Let h(a) = -a - 2 + 0 + 0. What is q*r(m) + h(m)?
-m
Let k be 26/8 - 2/8. Suppose 2*s + 9 = 3*s - 5*l, -3*s + l - 1 = 0. Let n(q) = -q**2. Let a(h) = -2*h**2 + h - 2. Determine k*n(t) + s*a(t).
-t**2 - t + 2
Let t = 369 - 370. Let w(u) be the third derivative of u**5/60 + u**4/24 + 4*u**2. Let k(o) = 2*o**3 - 9*o**2 - 6*o - 2. Determine t*k(x) - 6*w(x).
-2*x**3 + 3*x**2 + 2
Let p(y) = 11*y - 29. Let t(f) = 31*f - 88. Calculate -11*p(z) + 4*t(z).
3*z - 33
Let g(h) = h**2 - 11*h - 4. Let d be g(-1). Let p(b) = -4*b. Let f(o) = -13*o. Calculate d*p(m) - 3*f(m).
7*m
Let s(i) = -978*i + 24. Let w(k) = -1957*k + 40. Give -5*s(h) + 3*w(h).
-981*h
Let x(l) = -l + 1. Suppose -7*z + 45 - 17 = 0. Let t(b) = 10*b - 6. Calculate z*x(y) + t(y).
6*y - 2
Let r(k) = -3*k**2 + 2*k + 4. Let x = 37 - 35. Let o(q) = -7*q - 2. Let m(n) = 3*n + 1. Let c(v) = x*o(v) + 5*m(v). Give 2*c(d) - r(d).
3*d**2 - 2
Let k(r) = -1449*r + 2909*r - 5*r**2 - 1455*r + 7*r**3 - 3. Let n(a) = -8*a**3 + 6*a**2 - 6*a + 4. Let v = -8 - -3. Give v*n(i) - 6*k(i).
-2*i**3 - 2
Let n(u) = -9*u - 1. Let z(k) = 20*k + 3. Let p(i) = 5*n(i) + 2*z(i). Let d(q) = 9*q - 1. Determine 3*d(f) + 5*p(f).
2*f + 2
Let j(o) = -10*o - 3. Let f be j(-2). Suppose 50*t + 102 = 56*t. Let i(v) = 3*v - 13 + 16 - f*v + t. Let n(g) = 5*g - 7. Give 6*i(w) + 17*n(w).
w + 1
Let q(m) = 10*m**2 - 7*m. Let t(p) be the third derivative of -p**5/20 + p**4/12 + 13*p**2 + p. Let y(x) = -13*x**2 - x. Let d be y(1). Give d*t(r) - 4*q(r).
2*r**2
Suppose 81 = -14*w - 31. Let k(m) = -7*m + 3. Let d(a) = 14*a - 2. Let i(v) = v. Let h(z) = -4*d(z) + 36*i(z). Calculate w*k(f) + 3*h(f).
-4*f
Let y(i) = 4*i**3 + 9*i**2 - 5*i - 4. Let c(w) = 9*w**3 + 19*w**2 - 11*w - 9. What is -3*c(o) + 7*y(o)?
o**3 + 6*o**2 - 2*o - 1
Let s(u) = -439*u - 18. Let t(c) = 110*c + 4. Give -4*s(r) - 18*t(r).
-224*r
Let g(x) = -7*x - 5. Let l = -187 - -182. Let s(o) be the second derivative of 2*o**3/3 + 3*o**2/2 - 7*o. Determine l*s(w) - 3*g(w).
w
Let o(q) = q**2 - 5*q + 3. Let c(v) = v**2 + 3*v. Give -2*c(n) - o(n).
-3*n**2 - n - 3
Let g(b) = -b**2 + b - 1. Let t be (10 - 8) + -2 + (2 - 0). Let d(j) = -3*j**2 + j - 1. Determine t*g(l) - d(l).
l**2 + l - 1
Let m(t) be the first derivative of 2*t**2 - 2*t + 1. Let o(z) = -9*z + 4. Let b = 5810 - 5813. Calculate b*o(l) - 7*m(l).
-l + 2
Let v(g) = -11*g + 14. Let s(p) = 12*p - 10. Determine 4*s(d) + 3*v(d).
15*d + 2
Let b(y) = 8*y - 5. Let a(q) = 9*q - 6. Suppose p + 2*h - 48 = 0, -p + 2*h + 64 = -0*p. Suppose 5*f = -26 + p. Calculate f*b(r) - 5*a(r).
3*r
Let m(w) = 3*w - 1. Let j(f) = -27*f + 10. Let x(q) = -j(q) - 6*m(q). Let y(i) = -63*i + 27. Determine 27*x(z) + 4*y(z).
-9*z
Let h(b) = 8*b + 2. Suppose -4*d - 4*k = -36, -5*d - 21*k = -19*k - 33. Let i(s) = 17*s + 4. What is d*h(r) - 3*i(r)?
-11*r - 2
Suppose 5*y - 6*g + 25 = -g, -2*g = y - 7. Let c(o) = -4*o**2 + 4*o - 1. Let v(u) = u - 118*u**2 + 231*u**2 - 114*u**2. Give y*c(a) + 3*v(a).
a**2 - a + 1
Let m(v) = 17*v**3 + 9*v - 5. Let z(u) = -51*u**3 - 25*u + 14. Calculate 17*m(p) + 6*z(p).
-17*p**3 + 3*p - 1
Let q(u) = -u - 2 - u - 2*u + 0*u. Let o(y) = -12*y - 6. Let j(n) = -3*o(n) + 8*q(n). Let p(r) = -9*r - 4. Let d = 18 - 11. Give d*j(i) + 3*p(i).
i + 2
Let b(z) = 2*z**3 + 3*z**2 - 5*z - 4. Let y(n) = 4*n**2 + 73*n + 88. Let g be y(-17). Let h(d) = 3*d**3 + 4*d**2 - 6*d - 5. Determine g*h(x) - 4*b(x).
x**3 + 2*x + 1
Let v(c) = 6*c + 8. Let n(a) be the third derivative of -7*a**4/24 - 4*a**3/3 - 68*a**2. What is 5*n(m) + 6*v(m)?
m + 8
Let q(z) = 2*z**3 - 6*z**2 + 6*z - 1. Let g(p) = 7*p**3 - 16*p**2 + 17*p - 2. Calculate -4*g(i) + 11*q(i).
-6*i**3 - 2*i**2 - 2*i - 3
Let q(w) = 8*w - 14. Let v(n) = 7*n - 14. Determine -5*q(p) + 6*v(p).
2*p - 14
Let h(m) = -60*m**2 + 21. Let p(s) = -s**3 + s**2 - 3*s - 2. Let x be (2/2 + 1/(-1))/3. Let y be p(x). Let r(o) = -6*o**2 + 2. Give y*h(n) + 21*r(n).
-6*n**2
Let x(c) be the third derivative of 0*c**5 + 0*c + 0 - 24*c**2 + c**3 - 3/8*c**4 - 1/30*c**6. Let r(a) = a**3 + a - 1. Calculate -6*r(w) - x(w).
-2*w**3 + 3*w
Let s(c) = -2*c + 5. Let z(b) = -7*b**3 - 6*b**2 - 5*b + 11. Let j(d) = -d**3 - d**2. Let w(k) = -6*j(k) + z(k). Let x be 7*2/(-1)*23/46. Give x*s(f) + 3*w(f).
-3*f*