first derivative of y**2 + y - 283. Suppose 2*m + 0 = 6. Let k(i) = -i. What is m*k(n) + c(n)?
-n + 1
Let s(t) = -79*t + 1. Let l(d) = -79*d + 2. Determine -2*l(b) + 3*s(b).
-79*b - 1
Suppose 3*n + 10*o = 12*o + 37, -5*o = -5*n + 70. Let u(a) = 2*a**3 - 2*a + 6. Let j(w) = -8*w**3 + 9*w - 25. Determine n*u(v) + 2*j(v).
2*v**3 + 4
Let k(t) = -2*t + 3. Let q(c) be the third derivative of 5*c**4/24 - 5*c**3/6 - 846*c**2. Determine -5*k(l) - 3*q(l).
-5*l
Let s(u) = -2*u + 1. Let f = 68 - 49. Suppose -2*q + f = -3*c + 6, -3*q = 2*c. Let i(m) = 6*m - 2. Give c*i(j) - 8*s(j).
-2*j - 2
Let o(f) = 5*f. Let z(b) = b**3 - 20*b**2 + 17*b + 43. Suppose -43*a - 114 = -49*a. Let c be z(a). Let i(r) = 11*r - 1. Give c*o(w) - 2*i(w).
3*w + 2
Let r(x) = -3*x**3 + 2*x. Let n(f) = -f**3 - 1. Suppose 4*j + 5*o = 29, -10 = -5*j - o - 0*o. Give j*r(q) - n(q).
-2*q**3 + 2*q + 1
Let w(h) = -4*h - 8. Let u(n) = 3*n - 184. Let f be u(63). Let d(g) be the first derivative of 1/2*g**2 - f + g. What is 6*d(p) + w(p)?
2*p - 2
Let y(m) = 6*m - 4. Let v(z) = 8*z - 30. Let n(a) = 3*a - 9. Let o(k) = 7*n(k) - 2*v(k). Calculate 5*o(g) - 4*y(g).
g + 1
Let l(j) = -194*j - 12. Let o(s) = -194*s - 14. Determine 6*l(u) - 5*o(u).
-194*u - 2
Let c(u) = -u**3 - u**2 + u + 1. Let a(h) = -2*h**3 - 4*h**2 + 4*h + 4. Let j(w) = -2*w**2 + 6*w + 4. Let x be j(4). Calculate x*c(m) + a(m).
2*m**3
Let x(a) = 11*a**3 - 5*a**2. Let p(k) = -5*k**3 + 2*k**2. Suppose -66*r = -11*r - 220. What is r*x(s) + 9*p(s)?
-s**3 - 2*s**2
Let h(i) = i**2 + i + 1. Let p(w) = -71*w**3 - 3*w**2 - 3*w - 3. Determine -6*h(a) - 2*p(a).
142*a**3
Suppose 3*k = 7*k + 24. Let y(g) be the first derivative of -7*g**3/3 + 3*g**2 + 4*g - 135. Let d(f) = 20*f**2 - 17*f - 11. Give k*d(z) - 17*y(z).
-z**2 - 2
Let b(a) = 75. Let d(y) = -y + 1. What is b(r) - 75*d(r)?
75*r
Let u(p) = p. Let c(a) = -624*a. Let k(d) = 5*c(d) + 2340*u(d). Let i(x) = -19*x. Determine -165*i(f) + 4*k(f).
15*f
Let c(b) = -258*b**3 - 8*b**2 + 12*b - 4. Let n(z) = -259*z**3 - 6*z**2 + 9*z - 3. Calculate 3*c(i) - 4*n(i).
262*i**3
Let b = -18 - 9. Let m = 16 + b. Let a(i) = -i**2 + 6*i - 4. Let r(n) be the third derivative of n**4/24 - n**3/6 + 2*n**2. Determine m*r(o) + 2*a(o).
-2*o**2 + o + 3
Let i(y) = -227*y**3 + 13*y**2 - 14*y. Let r(z) = -228*z**3 + 11*z**2 - 12*z. What is -6*i(m) + 7*r(m)?
-234*m**3 - m**2
Let r(w) = w**2 + w + 1. Let h(g) = 15176*g**3 - 4*g - 15175*g**3 + 3*g**2 + 6*g + 4. Calculate -h(m) + 3*r(m).
-m**3 + m - 1
Suppose -4*g - 10 = -a - a, -4*a - 8 = -g. Let k(h) = -2*h + 2. Let s(v) = -1. Let u(p) = a*s(p) - k(p). Let y(l) = -5*l - 2. What is -7*u(q) - 3*y(q)?
q - 1
Let n(q) = -q. Let m(d) = 2*d + 2. Suppose -3*a = -2*g - 15, 13*a - 24 = 10*a + 5*g. Determine a*n(c) + m(c).
-c + 2
Let t(q) = 7*q**3 + 5*q**2 + 138*q - 15. Let m(j) = 4*j**3 + 3*j**2 + 69*j - 9. Calculate 5*m(g) - 3*t(g).
-g**3 - 69*g
Let a = -18 + 18. Let f(t) = -2*t**2 - 2 - 6*t + 2 + a. Let n(k) = -k**3 + 2*k**2 - 4*k + 2. Let h be n(2). Let i(r) = -6*r**2 - 17*r. Give h*i(d) + 17*f(d).
2*d**2
Let z(u) = 2*u + 2. Suppose 2*o + 14 = 3*t - 3, 4*t = -2*o - 10. Let r(j) = -5*j - 4. Calculate o*z(l) - 4*r(l).
6*l + 2
Let x(v) = 2*v - 4 + 9 - 6 - 1 + v**2. Let u(j) = -3*j**2 - 4*j + 4. Calculate -2*u(y) - 5*x(y).
y**2 - 2*y + 2
Let i(d) = 4*d**2 - 4*d + 5. Suppose 2*l = 3*v - 19, v - 7 = -3*v - l. Let n(j) = -5 - 7*j**2 + 2 - v + 5*j + 2*j**2. Determine -4*i(h) - 3*n(h).
-h**2 + h - 2
Let f(t) = -1307*t**2 + 5*t - 11. Let r(o) = -262*o**2 + o - 2. Calculate 2*f(l) - 11*r(l).
268*l**2 - l
Let p(h) = 3*h - 5. Let s(g) = -7*g + 6. Determine -5*p(d) - 3*s(d).
6*d + 7
Let a(x) = 645*x**2. Let v(z) = -323*z**2. What is -6*a(h) - 11*v(h)?
-317*h**2
Let i(u) = -3*u**2 + 8 - 2*u - 5*u - u**2. Let h(v) = -5*v**2 - 8*v + 9. Let m be ((-4)/1)/2*(-27)/((-1134)/(-105)). Give m*h(q) - 6*i(q).
-q**2 + 2*q - 3
Let g(t) = 600*t**3 - t**2 - t. Let y(l) = -l. Determine g(o) - 2*y(o).
600*o**3 - o**2 + o
Let t(k) = -4*k**2 + 3*k - 4. Let l(s) = 7*s**2 + 7 - 6*s - 2*s + 3*s. Let w be 162/(-36)*(-8)/6. Calculate w*l(h) + 10*t(h).
2*h**2 + 2
Let d(j) = -j - 6. Let b = 54 + -59. Let m be d(b). Let n(p) = p**3 + p**2 + 1. Let o(x) = -9*x**3 - 5*x**2 - 5. What is m*o(v) - 5*n(v)?
4*v**3
Let q(g) = -2*g + 6. Let f be ((-5)/(-15))/(2/6). Let z be ((-6)/24)/(f/(-4)). Let i(x) be the first derivative of -x**2/2 + x - 1. Calculate z*q(k) - 4*i(k).
2*k + 2
Let h(t) = -t + 1. Let p(k) = -7*k**2 + 13*k - 7. Calculate -5*h(n) - p(n).
7*n**2 - 8*n + 2
Let k(x) = -x**3 - 320*x**2. Let q(f) = -2*f**3 - 318*f**2. Calculate -3*k(l) + 2*q(l).
-l**3 + 324*l**2
Let q(s) = 109. Let u(v) = v - 164. Give 8*q(y) + 5*u(y).
5*y + 52
Let k(c) = -106*c**2 + c + 15. Let g(a) = 21*a**2 - 3. Give -11*g(d) - 2*k(d).
-19*d**2 - 2*d + 3
Let f(o) = -7*o**3 + 5*o**2 + 9*o - 12. Let z(w) = -8*w**3 + 6*w**2 + 10*w - 13. Give 6*f(l) - 5*z(l).
-2*l**3 + 4*l - 7
Let d(u) = -10*u**2 + 85. Let l(y) = -44*y**2 + 339. Calculate -9*d(t) + 2*l(t).
2*t**2 - 87
Let o(q) = -q**3 - q**2 - q - 1. Let y(l) = -2*l**3 + 21*l**2 - 7*l - 7. Determine -6*o(h) + y(h).
4*h**3 + 27*h**2 - h - 1
Let m(n) = -2*n. Let s(k) be the first derivative of -k**3/3 + 5*k**2/2 + 51. Give 5*m(y) + 2*s(y).
-2*y**2
Let h(o) = -o**2 + 3*o - 9. Let s(v) = v**2 + v - 4. Let c(f) = 2*h(f) - 6*s(f). Let u(g) = -7*g**2 + 7. Determine -7*c(j) + 6*u(j).
14*j**2
Let i(t) = t**2 + t - 1. Let s(r) = 47*r**2 + 3*r - 4. Calculate 3*i(k) - s(k).
-44*k**2 + 1
Let t(r) = 819*r**2 - 2*r + 12. Let h(d) = -3. Determine -4*h(j) - t(j).
-819*j**2 + 2*j
Let y(r) = 34*r**3 - 5*r**2 + 2*r + 2. Let m(t) = 67*t**3 - 12*t**2 + 5*t + 5. Give -2*m(c) + 5*y(c).
36*c**3 - c**2
Let a(w) = 29*w - 171. Let u be a(6). Let t(n) = -26*n**2 + 7*n. Let r(m) = 13*m**2 - 3*m. Give u*t(d) + 7*r(d).
13*d**2
Let b(x) be the third derivative of x**4/24 + x**2 - 14*x. Let p(g) = -15*g. Calculate -25*b(z) - p(z).
-10*z
Let v(y) = 63*y**2 + 74*y + 40. Let g(f) = 22*f**2 + 25*f + 14. Give 17*g(a) - 6*v(a).
-4*a**2 - 19*a - 2
Let k be (-13)/((-78)/(-4))*(-21)/(-2). Let x(z) = -6*z**3 + 2*z - 3. Let j(h) = -9*h**3 + 3*h - 4. Determine k*x(y) + 5*j(y).
-3*y**3 + y + 1
Let m(f) = -2*f**2 - 1. Let b(a) = 15*a**2 - 12*a + 6. Calculate b(r) + 6*m(r).
3*r**2 - 12*r
Let b(j) = -52*j**2 - 2*j. Let i(x) = -105*x**2 - 4*x. Give -7*b(o) + 3*i(o).
49*o**2 + 2*o
Let f(a) = 10*a**3 + 18*a**2 - a + 10. Let r(c) = 8*c**3 + 15*c**2 - c + 9. Determine -5*f(t) + 6*r(t).
-2*t**3 - t + 4
Let d(q) be the third derivative of -q**4/24 - q**3 - 12*q**2. Let o(c) = -7 + 1 + 5 + 0. Suppose 6*a - 7 = 23. Calculate a*o(z) - d(z).
z + 1
Let i(q) = 3*q**3 - 3. Let z(l) = 5*l**3 + l - 4. Calculate 3*i(n) - 2*z(n).
-n**3 - 2*n - 1
Let f(b) = -3*b - 4*b**3 - 5*b**3 + 2*b - 6*b. Let h(r) be the second derivative of -r**5/5 - r**3/2 - 11*r. What is -3*f(l) + 7*h(l)?
-l**3
Let t(r) be the first derivative of -11*r**3/3 - 3*r**2 + 6*r + 368. Let z(i) = 99*i**2 + 55*i - 55. Calculate 55*t(x) + 6*z(x).
-11*x**2
Let f(v) = -156*v**3 - 5*v**2 - 7*v. Let k(z) = -79*z**3 - 3*z**2 - 4*z. What is -4*f(t) + 7*k(t)?
71*t**3 - t**2
Let w(g) = -3*g**2 - 43 + 92 - 42 + 2*g**2 - 6*g. Let t(s) = 2*s**2 + 13*s - 14. What is 6*t(q) + 13*w(q)?
-q**2 + 7
Let n(y) = y - 2. Let l(c) = 3*c - 6. Let r be (-3)/21 + (-836)/77. Give r*n(d) + 4*l(d).
d - 2
Let w(k) = k - 5 + 20 + 0*k - 12. Let z(i) be the third derivative of -i**4/12 - 7*i**3/6 - 3*i**2. What is -9*w(m) - 4*z(m)?
-m + 1
Let i(x) = x**2 - 11*x + 25. Let c be i(5). Let w(d) = 3*d**3 - 2*d**2 + 7. Let p(b) = -2*b**3 + b**2 - 5. Determine c*w(g) - 8*p(g).
g**3 + 2*g**2 + 5
Let a(x) = x - 6. Let y(u) = -7. Suppose 3 = -k, -23*t + 20*t = -4*k - 3. Give t*a(o) + 2*y(o).
-3*o + 4
Let b(u) = u. Let k(p) = 5*p + 1. What is -b(n) + k(n)?
4*n + 1
Let z(o) = 5*o - 3. Let a be (6/36 - (-1)/3)*4. Let w(n) = 15*n - 10. Give a*w(i) - 7*z(i).
-5*i + 1
Let k(o) = -33*o**2 + 2*o + 1. Let j(z) = -68*z**2 + 5*z + 3. Give 2*j(a) - 5*k(a).
29*a**2 + 1
Let i be (16 - (2 + -3)) + -2. Let p(x) = 5 + 5 + i*x - 5. Let g(k) = -8*k - 3. What is 11*g(s) + 6*p(s)?
2*s - 3
Let k(a) = -3*a**2 + 6*a - 11. Let q(g) = 7*g**2 - 13*g + 23. Calculate 13*k(n) + 6*q(n).
3*n**2 - 5
Let d(g) = 89*g**3 + g**2. Let a(u) = -179*u**3 - 3*u**2. Give -2*a(k) - 