
-457*s**3 + s
Let w(b) be the third derivative of b**5/10 - 5*b**4/12 - b**3 + 294*b**2. Let y(v) = -v**2 + 2*v + 1. Calculate -2*w(j) - 11*y(j).
-j**2 - 2*j + 1
Let d(i) = 116*i + 3. Let q(h) = -3*h + 2. Calculate d(y) - 3*q(y).
125*y - 3
Suppose 2*b - 4 - 4 = -5*i, -2*b - 2 = 0. Let p(x) = -1 + 1 + 2*x + x**2 + 3. Let t(z) be the first derivative of -z**2/2 - z + 25. What is i*t(s) + p(s)?
s**2 + 1
Let s(j) = -21*j - 13. Let l(o) = 21*o + 21. Determine -4*l(h) - 5*s(h).
21*h - 19
Let u(q) = 3*q**3 - 2*q**2 + 3*q - 2. Let i(x) = -3*x**3 + x**2 - 2*x + 1. Let h(y) = 22*y + 64. Let b be h(-3). Calculate b*u(c) - 3*i(c).
3*c**3 + c**2 + 1
Let o(t) = -t**2 - 6*t. Let i(l) be the second derivative of -l**5/120 + l**3/3 - 11*l. Let d(u) be the second derivative of i(u). Determine 5*d(g) - o(g).
g**2 + g
Let f = 37 + -36. Let b(j) = 4*j - f - 3*j + 2*j - 4*j. Let o(u) = -7*u - 6. What is 4*b(w) - o(w)?
3*w + 2
Suppose 135 = 2*o + 121. Let p(h) = -4*h - 2. Let z(s) = 10*s + 5. Let k(j) = o*p(j) + 2*z(j). Let v(b) = b + 1. Calculate k(f) + 4*v(f).
-4*f
Let a(t) = 34*t**3 - 7. Let d be (-7)/(-2)*(-14)/(-21)*-3. Let p(r) = 11*r**3 - 2. What is d*p(u) + 2*a(u)?
-9*u**3
Let u(f) = -7. Let q(p) = -701*p - 36. Give q(y) - 5*u(y).
-701*y - 1
Let u(v) = -3*v**3 + 5*v**2 + 7*v + 6. Let i(q) be the second derivative of -3*q**5/20 + q**4/2 + 4*q**3/3 + 7*q**2/2 - 88*q. What is 5*i(o) - 6*u(o)?
3*o**3 - 2*o - 1
Let u(m) = 4*m**2 + 11*m + 11. Let b(r) be the second derivative of r**4/12 + r**3/3 + r**2 + 9*r + 1. Calculate 11*b(a) - 2*u(a).
3*a**2
Let w(x) = 3*x + 10. Let u(t) = -11*t - 49. Let n(k) = -7*k - 31. Let m(l) = 8*n(l) - 5*u(l). Calculate 21*m(i) + 6*w(i).
-3*i - 3
Let a be -2*(18/(-4))/(-3). Let f(z) = 4*z - 4. Suppose 5*p + 9*g + 15 = 7*g, 25 = -5*g. Let o(t) = -t + 1. What is a*o(y) + p*f(y)?
-y + 1
Let j(n) = -n + 4. Let s be j(-4). Let u = s - 19. Let d(r) = 2*r - 2. Let i(p) = 39*p + 115. Let z be i(-3). Let f(k) = -10*k + 11. Determine u*d(h) + z*f(h).
-2*h
Let n(z) be the first derivative of 3*z**3 + 13*z**2/2 - 3*z + 5. Let h be 47/7 + (-2)/(-7). Let y(q) = -3*q**2 - 4*q + 1. Determine h*y(f) + 2*n(f).
-3*f**2 - 2*f + 1
Let a be (64/96)/((-4)/30). Let v(n) = 3*n - 8. Let h(l) = 2*l - 5. Determine a*v(r) + 8*h(r).
r
Let n(u) = u + 4. Let v(j) = -j + 10. Let a(w) = -w + 1. Let s(m) = -3*a(m) + v(m). Let q = -9 - -36. Let z be 3*3/q - (-85)/15. Determine z*s(f) - 10*n(f).
2*f + 2
Let m(d) = -11*d + 2. Let f be (56/3)/8 + 5/3. Let w(k) = -6*k + 1. Determine f*m(l) - 7*w(l).
-2*l + 1
Let m(s) = 21*s + 9. Let t(g) = -13*g + 5. Let z(n) = -14*n + 8. Let p(f) = -4*t(f) + 3*z(f). Determine -4*m(b) + 9*p(b).
6*b
Let y(z) = z**2 + z + 1. Let g(h) = 3*h**3 + 4*h**2 + 10*h + 4. What is -g(q) + 4*y(q)?
-3*q**3 - 6*q
Let j(q) = q + 1. Let w(k) = -k**3 - 4 - k + 5 - 2. Let g = -9 - -12. Suppose 0 = g*l + 4*x - x + 12, 3*l - 4*x - 23 = 0. Determine l*w(t) + j(t).
-t**3
Let i(n) = n**2 - n - 1. Let t be 13/(-2) - (-1)/2. Let f(h) = 5*h**2 - 6*h - 6. Suppose 14*b + r = 13*b - 2, -4*b + 7 = -r. What is b*f(c) + t*i(c)?
-c**2
Let j(f) = 17*f**3 + 3*f**2 + 3*f - 3. Suppose 0 = 4*g - 12, -256*z - 3*g = -257*z - 6. Let m(h) = 187*h**3 + 34*h**2 + 34*h - 34. What is z*m(a) - 34*j(a)?
-17*a**3
Let o(r) = -8*r**2 + 6*r - 5. Let n = -19 + 6. Let y(b) be the second derivative of 0 + 4*b + 13/6*b**3 - 11/2*b**2 - 17/12*b**4. Determine n*o(g) + 6*y(g).
2*g**2 - 1
Let n(j) = -j - 1. Let a(v) = -3*v**3 - v - 1. Let g(z) be the second derivative of -z**4/6 - 2*z**3/3 + 7*z**2/2 - 40*z. Let p be g(-3). What is p*a(l) - n(l)?
-3*l**3
Let r(j) = -j**2 - j. Suppose -13*h - 96 = -148. Let l(k) = 3*k**2 - 2*k. Calculate h*r(p) - 2*l(p).
-10*p**2
Let l(b) = b + 12. Let o be l(-8). Let n(t) = -t + 2*t - 62 + 60. Let q(h) = -3*h + 5. Give o*q(m) + 9*n(m).
-3*m + 2
Let y(q) = 3*q**3 + 10*q**2 - 2*q - 1. Let v(u) = 3*u**3 + 10*u**2 - 2*u. What is -3*v(j) + 2*y(j)?
-3*j**3 - 10*j**2 + 2*j - 2
Let h(k) = -5*k**3 + 11*k**2 - 41*k + 11. Let d(o) = o**3 - 2*o**2 + 8*o - 2. Let m = 863 + -874. What is m*d(l) - 2*h(l)?
-l**3 - 6*l
Suppose 1 = -5*d + 4*d. Let i be 8/12*-3 + -4. Let f = i + 5. Let t(b) = -b + 1. Let g(p) = -1. Give d*t(h) + f*g(h).
h
Let n(q) = q - 2. Let d(l) = -14*l + 21. Determine -2*d(m) - 22*n(m).
6*m + 2
Let f(z) = z**2 - 8*z - 26. Let b be f(11). Suppose 0 = j + b - 4. Let v(c) = -3*c. Let g(p) be the first derivative of p**3/3 - p**2 + 2. Give j*g(q) + 2*v(q).
-3*q**2
Let v(d) = d**3 - 6*d - 6. Let h be -4 - (-18)/3 - 32. Let b = -27 - h. Let y(g) = -2 - 4 - 17*g + b*g**3 - 11. Determine 11*v(c) - 4*y(c).
-c**3 + 2*c + 2
Let a(v) = 60*v - 39. Let q(z) = -12*z + 8. Calculate 5*a(u) + 24*q(u).
12*u - 3
Let v(l) be the third derivative of -3*l**6/40 - 7*l**4/24 - 2*l**3/3 + l**2 + 26*l. Let w(n) = 6*n**3 + 5*n + 3. Determine -5*v(m) - 7*w(m).
3*m**3 - 1
Let b(p) = 1249*p**3 + 3*p**2 + 2*p. Let s(q) = -2497*q**3 - 5*q**2 - 3*q. Determine 5*b(k) + 3*s(k).
-1246*k**3 + k
Let j(q) = -10*q**2 - 2*q + 14. Let f(i) = -9*i**2 - 3*i + 12. Calculate 7*f(d) - 6*j(d).
-3*d**2 - 9*d
Let q(z) = -8*z**2 + 4*z + 5. Let h(d) = 2*d**2 - d - 1. Let j = -500 - -509. Calculate j*h(y) + 2*q(y).
2*y**2 - y + 1
Let a(r) = 3*r**2 + 0*r + 7 - 3*r - 5 + 1. Suppose -x - 1 - 5 = 0. Let k be 6*(16/x - -2). Let j(w) = -3*w**2 + 4*w - 4. Give k*a(c) - 3*j(c).
-3*c**2
Suppose -118 = -23*i - 233. Let o(f) = 3*f + 4. Let v(c) = c + 2. Determine i*v(r) + 2*o(r).
r - 2
Let k(z) = -3*z - 12. Let u(s) = 4*s + 13. Suppose 5*j + 19 = -a, -2*j = 5*a - 20 + 23. Calculate j*u(h) - 5*k(h).
-h + 8
Suppose -6 - 38 = -4*x. Let g(f) = -16*f - 16. Let n(a) = -3*a - 3. What is x*n(k) - 2*g(k)?
-k - 1
Let d(b) = 13*b**2 - 8*b - 3. Let c(q) = -29*q**2 + 15*q + 6. Determine -4*c(i) - 9*d(i).
-i**2 + 12*i + 3
Let b(h) = -h**2 + 7*h - 4. Let r(o) = 2*o**3 - o**2 + 8*o - 5. Calculate 3*b(z) - 2*r(z).
-4*z**3 - z**2 + 5*z - 2
Let f(c) be the first derivative of 2*c**3 + c**2/2 + 388. Let l(q) = -7*q**2. Calculate 6*f(p) + 5*l(p).
p**2 + 6*p
Let d = 126 + -125. Let n(h) = h**3 + 2*h**2 - 4*h - 2. Let y(s) = -s**3 - s**2 + s + 1. Determine d*n(b) + 2*y(b).
-b**3 - 2*b
Suppose 12*o = 8*o + 420. Let x(m) = -207 + 101 + o. Let i(h) = h + 7. Calculate i(d) + 4*x(d).
d + 3
Let r(p) = -p - 1. Let u(m) = -2*m - 2. Suppose -4*g + 4*d + 28 = 0, -25 = -4*g + 4*d - d. Let k = -37 - -31. Determine g*u(z) + k*r(z).
-2*z - 2
Let j(c) = -5*c**2 - 140*c - 5. Let z(a) = 4*a**2 + 142*a + 3. Determine 2*j(f) + 3*z(f).
2*f**2 + 146*f - 1
Let w(h) = -4*h + 7. Suppose 0 = 16*x - 51 - 45. Let l(u) = 7*u - 14. Calculate x*l(n) + 11*w(n).
-2*n - 7
Let d(k) = -91*k - 5. Let z(o) = 91*o + 6. Determine 6*d(v) + 5*z(v).
-91*v
Let l(s) = -2. Let k(i) be the first derivative of -i**2/2 + 3*i - 50. Calculate 2*k(r) + 4*l(r).
-2*r - 2
Let j(y) = 3. Let q(o) = 1034*o - 6204. Calculate 2068*j(k) + q(k).
1034*k
Let f(u) = -392598*u + 5202. Let i(d) = -302*d + 4. Give -6*f(w) + 7803*i(w).
-918*w
Let l(r) = 20*r**2 + 3. Let w(v) = -v**3 + 20*v**2 - 63*v - 13. Let b be w(16). Let f(o) = 59*o**2 + 8. Give b*f(s) - 8*l(s).
17*s**2
Let n(w) = w - 1. Let j(u) = -9892*u - 9 - 15 + 9919*u. Give -3*j(i) + 72*n(i).
-9*i
Suppose z + 215 = 105. Let o = z - -103. Let u(g) = 2*g + 1. Let h be u(-2). Let w(s) = 2*s**2 - s - 5. Let r(a) = -4*a**2 + 2*a + 11. What is h*r(d) + o*w(d)?
-2*d**2 + d + 2
Let x(a) = a**3 + 2*a**2 - 1. Let g(j) = j**3 - 91*j**2 - 1. Give g(f) - 3*x(f).
-2*f**3 - 97*f**2 + 2
Let r(s) be the second derivative of -s**3/2 + 2*s**2 + 1395*s. Let d(j) = j**2 + 3*j. Let g be d(-4). Let m(o) = 4*o - 5. Determine g*m(h) + 5*r(h).
h
Suppose 5*n - 14 = -5*g - 49, -4*n + 4*g - 12 = 0. Let x(q) be the second derivative of q**3/3 + 2*q**2 + q. Let z(w) = -w - 2. What is n*z(v) - 3*x(v)?
-v - 2
Suppose -4*r + 23 = -5*d, 0*d = 2*d - 4*r + 14. Let s(v) = -v**3. Let g(c) be the third derivative of c**6/120 - 969*c**2. Give d*g(x) - 6*s(x).
3*x**3
Let v(p) = -p**2 - 2. Let b(o) = 10*o**2 + 2. Calculate b(d) + 3*v(d).
7*d**2 - 4
Let d(c) = 3*c**3 - 2*c**2 + 2*c. Let g = 2 - -6. Let m = g - 5. Let o be 24/(-20)*(-10)/m. Let y(v) = -2*v**3 + 2*v**2 - 2*v. Determine o*d(w) + 5*y(w).
2*w**3 + 2*w**2 - 2*w
Let y(a) = 9*a. Let n(q) = 6 - 4*q + 5 + 3 + 4 - q**2. Let s be n(-6). Let