 Let d(f) = f + 1. Determine -6*d(o) + l(o).
2*o + 1
Let f = -132 - -133. Let u(v) = -1. Let s(c) = -c**2 - 2*c + 4. What is f*u(b) + s(b)?
-b**2 - 2*b + 3
Let y(v) = 4*v**2 + 5*v - 13. Let h(k) = -k**2 - k + 3. Suppose 24*x = 26*x. Suppose -2*p - 4*l + 22 = 6, 3*p + 2*l - 4 = x. Calculate p*y(m) - 9*h(m).
m**2 - m - 1
Let d(m) = m**2 + 2. Let l(s) = -5*s**2 - 3*s - 3. Let i(w) = 14*w**2 + 8*w + 9. Let t(p) = 3*i(p) + 8*l(p). Calculate -3*d(z) + 2*t(z).
z**2
Let p(m) be the second derivative of m**5/20 - m**3/6 + m**2/2 + 144*m. Let f(j) = -6*j**3 + 12*j - 10. Calculate -f(b) - 12*p(b).
-6*b**3 - 2
Let y(t) = -12*t**3 - 4*t**2 + t - 4. Let c(z) = -24*z**3 - 9*z**2 + 3*z - 9. Calculate 6*c(s) - 13*y(s).
12*s**3 - 2*s**2 + 5*s - 2
Let d(s) = -45*s**2 - 4*s. Let r(i) = -89*i**2 - 9*i. What is 13*d(a) - 6*r(a)?
-51*a**2 + 2*a
Let x(s) be the second derivative of 9*s**5/20 - s**4/3 - s**3/2 + 5*s**2/2 + 37*s. Let f(o) = -14*o**3 + 6*o**2 + 5*o - 8. What is -5*f(k) - 8*x(k)?
-2*k**3 + 2*k**2 - k
Let j(f) = 17*f - 2. Let n(s) = -48*s + 19*s - 70*s + 12*s + 9. Let o(b) = -21*j(b) - 4*n(b). Let m(u) = 3*u - 2. Calculate -17*m(a) - 6*o(a).
3*a - 2
Let g be (3 + -2)*(2 + -1). Let t(u) = u**2 + 4 - g + 0 + 3*u + 0*u**2. Let p be 1*-7 - ((4 - 5) + 0). Let b(v) = -v - 1. What is p*b(k) - 2*t(k)?
-2*k**2
Let z(l) = -l**2 + l + 1. Let m(i) = -i**2 - 5*i + 12. Let y = -13 - -7. Let g be m(y). Let s = g - 5. Let b(r) = -r**2 + 3*r + 1. Determine s*b(k) - 2*z(k).
k**2 + k - 1
Let r(v) = -5*v - 129. Let c(t) = -4*t - 128. What is 4*c(y) - 3*r(y)?
-y - 125
Let s(b) = 39*b**3 + 5*b**2 + 7. Let n(y) = 20*y**3 + 2*y**2 + 3. Give 7*n(h) - 3*s(h).
23*h**3 - h**2
Let b(p) = -5*p + 1. Let v(h) = 4*h - 1. Let n be (-3)/(-1) + (5 - 0). Let x = n - 14. Give x*b(k) - 7*v(k).
2*k + 1
Let k be 38/(-8) + 151/(-604). Let p(n) = -n + 6. Suppose -2*u = -0*u + 12. Let x(o) = o - 5. Determine k*p(c) + u*x(c).
-c
Let b(s) = 2*s + 7. Let y(r) = -2*r**2 - 40*r + 38. Let w be y(-21). Let c(i) = i + 1. Give w*c(m) + b(m).
-2*m + 3
Let k(p) = 22*p + 16*p - 19*p**2 - 33*p. Let j(o) = -161*o**2 + 42*o. What is -5*j(c) + 42*k(c)?
7*c**2
Let n(g) = g + 1. Suppose -10*m - 69 = -19. Let r(q) = 2*q**3 - 8*q - 8. Calculate m*r(t) - 40*n(t).
-10*t**3
Let h(i) = -8*i**2 + 4*i. Let s(a) = -a**2 + a. Suppose 7*z = 3*z - 4. Let j = -7 + 11. Calculate j*s(k) + z*h(k).
4*k**2
Suppose 5*x = -j + 25, -4*x + j = -2*j - 20. Let n(i) = -3*i**2 + 5*i + 1. Let m(d) = 72*d - 140*d + 72*d - 2*d**2. Calculate x*m(h) - 4*n(h).
2*h**2 - 4
Let d(h) = 2*h**3 + 2*h + 5. Let b(c) = -12*c**3 - 11*c - 24. What is 2*b(z) + 11*d(z)?
-2*z**3 + 7
Let p(b) = b**3 - 8*b + 125. Let v(d) = -d**3 + 6*d - 124. Calculate 3*p(m) + 4*v(m).
-m**3 - 121
Let p(i) = -i**3 - 4*i**2 + 2*i - 1. Let o(s) be the first derivative of -1/3*s**3 + 1/2*s**2 - s - 8. What is 2*o(q) - p(q)?
q**3 + 2*q**2 - 1
Let c(x) = 456*x**3 - 4*x**2 - 8*x + 4. Let a(p) = p**3 - p**2 - 2*p + 1. What is 4*a(z) - c(z)?
-452*z**3
Let k = -46 - -51. Let r(a) = a**3 + 7*a**2 + 6*a. Let h(s) = -s**3 + 16*s**2 - 45*s**2 - 5*s + 23*s**2. What is k*h(p) + 4*r(p)?
-p**3 - 2*p**2 - p
Let b(l) = 284*l**3 + 3*l**2 - 7*l - 2. Let o(k) = 2*k**3 + k**2 - 2*k - 1. Give -b(g) + 3*o(g).
-278*g**3 + g - 1
Suppose 28 + 98 = -42*d. Let b(h) = -h. Let t(k) = -6*k. What is d*t(v) + 16*b(v)?
2*v
Let c(m) = 57*m - 426. Let t(n) = -7*n + 53. Give 4*c(y) + 33*t(y).
-3*y + 45
Let q(j) = -2*j**3 + 3*j**2 + j + 3. Let i(d) be the second derivative of 3*d**5/20 - d**4/3 - d**3/3 - 2*d**2 - 5*d - 3. Calculate -3*i(x) - 4*q(x).
-x**3 + 2*x
Let o(q) = -102*q + 39. Let b(r) = r + 3. Give -12*b(x) + o(x).
-114*x + 3
Let j = -247 + 238. Let s(f) = -5*f**2 - 13*f + 1. Let m(x) = x**2 - x + 1. Let r(n) = -3*n**2 - n - 2. Let p(y) = 2*m(y) + r(y). What is j*p(w) + 2*s(w)?
-w**2 + w + 2
Let v(x) = 42*x - 20*x - 21*x. Let a(h) = 2*h**2 + 3*h - 3. What is a(y) - 3*v(y)?
2*y**2 - 3
Let l(p) = p. Let b be 16 + (-515)/15 + (-1)/(-3). Let c(r) = -7*r. Give b*l(i) - 2*c(i).
-4*i
Let j = 22 + -16. Let v(r) = r. Let z(g) = -4*g + 2. Determine j*v(u) + z(u).
2*u + 2
Let s(y) = -y**3 - 2*y**2 + 2. Suppose 6 = 5*b - 3*b. Suppose 0 = -b*m - 12, 4*v - 4*m + 16 = -5*m. Let i(d) = -d**3 - 2*d**2 + 2. What is v*s(q) + 4*i(q)?
-q**3 - 2*q**2 + 2
Let z(r) = 23*r**2 - 17*r - 17. Suppose 5*j = w - 80, 4*j - 6*w + 2*w = -48. Let i(u) = 8*u**2 - 6*u - 6. What is j*i(t) + 6*z(t)?
2*t**2
Let p(g) = -g**2 - g - 1. Let t(n) = 68*n**2 + 12*n + 14. Determine 12*p(o) + t(o).
56*o**2 + 2
Let t(g) = -12*g**2 + 17*g. Let v(s) = -3*s**2 + 4*s. Give 6*t(w) - 26*v(w).
6*w**2 - 2*w
Suppose -2*n + 5 + 3 = 0. Let l(c) = -3 - 8*c**2 - n*c**2 - 2*c + 2 - 2*c**3 + 10*c**2. Let t(m) = -m**2 - m - 1. Calculate -l(k) + 2*t(k).
2*k**3 - 1
Let b(r) = 769*r**2 + 5*r - 15. Let s(l) = -1539*l**2 - 9*l + 27. What is -9*b(k) - 5*s(k)?
774*k**2
Suppose -19 = -2*o + 1. Suppose -u = o - 16. Suppose -w = -3*w + u. Let k(g) = -6*g - 4. Let f(q) = -7*q - 5. Calculate w*f(y) - 4*k(y).
3*y + 1
Let u(k) = -14*k + 299. Let j(h) = -5*h + 99. Calculate -11*j(t) + 4*u(t).
-t + 107
Let d(c) = 2*c + 7. Suppose 20*z - 4 = 19*z. Let g(h) = -3*h - 14. Give z*g(b) + 7*d(b).
2*b - 7
Let z(g) = -5 - 5*g - 5*g + 2*g. Let s(p) = -2*p**2 + 2*p - 1. Let o be s(2). Let u(n) = 4 + 5*n + 3*n + 0*n - n. Give o*z(c) - 6*u(c).
-2*c + 1
Let g(p) = -432*p**2 + 6*p - 7. Let v(f) = -436*f**2 + 5*f - 6. Calculate 6*g(u) - 7*v(u).
460*u**2 + u
Let a(l) be the second derivative of -l**5/20 - l**4/6 + l**3/2 + 3*l**2/2 + 152*l. Let z(k) = 4*k**3 + 10*k**2 - 16*k - 16. What is -16*a(x) - 3*z(x)?
4*x**3 + 2*x**2
Let x(t) = 62*t - 3. Let v(o) = -309*o + 19. What is 2*v(l) + 11*x(l)?
64*l + 5
Let f(j) = -414 + 3*j**2 + 6*j + 7*j**2 - 3*j + 415. Let x(r) = -20*r**2 - 7*r - 2. What is 7*f(o) + 3*x(o)?
10*o**2 + 1
Let r(k) = -18*k - 852. Let p be r(-47). Let s(n) = 2*n - 5. Let o(c) = -2*c + 4. Let u = -11 + 4. Determine p*s(t) + u*o(t).
2*t + 2
Let y(t) = 2*t - 3. Let r(q) be the first derivative of -9*q**2/2 + 13*q + 68. Give 6*r(d) + 26*y(d).
-2*d
Let r(p) = p. Let l(a) = -10*a + 13. Let i(f) = l(f) + 2*r(f). Let g(n) = 4*n - 6. Give 13*g(s) + 6*i(s).
4*s
Let j(n) = -10*n + 5*n - n + 8*n + 2. Let d(v) = -v + 1. Let w(y) = d(y) - j(y). Let z(r) = r + 1. Calculate -2*w(c) - 2*z(c).
4*c
Let c(s) = -s**3 + 144*s**2 - 4*s. Let p(f) = -f**2 + f. Calculate c(y) + 4*p(y).
-y**3 + 140*y**2
Let c(n) = n**2 + n. Suppose -5*x = j - 24, 4*j - 4 - 2 = -2*x. Let d(p) = 4*p**2 - p - 1. Let k be d(j). Let q(v) = -v. What is k*q(u) + 4*c(u)?
4*u**2
Let w(d) = d**2 + 5*d. Let i(k) = 3*k**2 + 20*k. Let q(u) = 6*u**2 + 39*u. Let t(g) = 11*i(g) - 6*q(g). Give -3*t(s) - 8*w(s).
s**2 + 2*s
Let y(z) = -68*z**3 + 2*z**2 + 3*z - 1. Let p(w) = w**2 + 2*w - 1. Calculate -2*p(m) + 2*y(m).
-136*m**3 + 2*m**2 + 2*m
Let h = -10 - -4. Let v(w) = 3*w**2 + 2 - 1 + w**2. Let b(f) = 5*f**2 + 1. Suppose 0 = 5187*u - 5177*u - 70. Give h*b(d) + u*v(d).
-2*d**2 + 1
Let b(k) = -1694 - k + 1694. Let v(x) = -x. What is -7*b(j) + 3*v(j)?
4*j
Let o(q) = 8*q + 11. Let w(k) = -8*k - 9. Give -2*o(b) - 3*w(b).
8*b + 5
Let l(s) be the first derivative of s**2/2 - s - 3. Suppose -10*g - 3 = -11*g - j, -23 = -5*g - j. Let i(q) = 2*q - 2. Determine g*l(n) - 2*i(n).
n - 1
Let d(n) = n + 61. Let h(f) = -f - 53. Give 5*d(l) + 6*h(l).
-l - 13
Let g(w) = 311*w**2 + 13*w + 11. Let y(f) = 207*f**2 + 8*f + 7. Calculate -5*g(i) + 8*y(i).
101*i**2 - i + 1
Let y(f) = -f**3. Suppose 3*w + 2*n + 6 = -2*n, -3*n = 5*w + 10. Let c(r) be the first derivative of 3*r**4 - 16. Determine w*c(a) - 22*y(a).
-2*a**3
Let z(c) = c. Let s(a) = -a - 1. Let h(n) = -10*n - 194. Let k be h(-19). What is k*z(j) - 5*s(j)?
j + 5
Let d(c) = c**2 + 2*c + 1. Suppose -3*m - 3*g = 6, 8*m + 5*g - 2 = 7*m. Let o(b) = b**2 + 2*b. What is m*d(z) + 4*o(z)?
z**2 + 2*z - 3
Let y(h) = -4*h**3 + 10*h**2 + 14. Let v = -463 - -449. Let t(k) = k**3 - 2*k**2 - 3. Give v*t(w) - 3*y(w).
-2*w**3 - 2*w**2
Let v(n) = -n**2 + 2*n + 14. Let b(j) = j**2 - 2*j - 7. Let g(f) = -5*b(f) - 3*v(f). Let x(d) = d - 1. Determine g(i) - 5*x(i).
-2*i**2 - i - 2
Let s(m) = -7*m**3 + 5*m**2 + 3*m. Let g(x) = -3*x**3 + 2*x**2 + x. Let b(w) = -w + 8. Let y be b(5). Suppose -33 + 39 = -y*k. Calculate k*s(p) + 5*g(p).
-p*