- 1
Let w(r) = 13*r**3 + 1543*r**2 - 35*r - 11. Let b(m) = 7*m**3 + 771*m**2 - 19*m - 6. What is -11*b(i) + 6*w(i)?
i**3 + 777*i**2 - i
Let q be 6/4*(-930)/(-279). Let p(h) = 6*h**2 + 12*h - 6. Let x(m) = m**2 - m - 1. Calculate q*x(n) - p(n).
-n**2 - 17*n + 1
Let z(n) = 2*n**2 - 3*n - 4. Let t(v) = -2*v + 8*v**2 + v**2 - 7*v**2 - 4 + 0*v. Suppose 4*b - 29 = 5*g, 4*g - 3*g = -5*b. What is g*t(k) + 4*z(k)?
-2*k**2 - 2*k + 4
Let s(g) = -9*g**2 + 10*g + 2. Let d(r) = 7*r**2 - 2*r - 2. What is -4*d(a) - 3*s(a)?
-a**2 - 22*a + 2
Let c(z) = -9*z**2 - 11*z - 9. Let v = 143 + -142. Let l(b) = 0*b - 1 + 6*b + v + 5 + 5*b**2. Calculate 6*c(w) + 11*l(w).
w**2 + 1
Let a(z) = -9*z**2 + 21*z + 16. Let h(w) = -w**3 - 9*w**2 + 13*w + 13. Let x(p) = 2*a(p) - 3*h(p). Let k(u) = u**3 + 4*u**2 + u - 3. Determine 9*k(b) - 4*x(b).
-3*b**3 - 3*b + 1
Let r(j) = 0*j**2 - 6*j - 2*j**2 + j**2 - 4 - j**2. Let z(x) be the second derivative of -x**3/6 - x**2/2 + 465*x. Calculate r(b) - 4*z(b).
-2*b**2 - 2*b
Suppose 4*z - 4*p = 0, z - 3*p + 2 = -z. Let q(a) = -a - 1. Let f(j) be the second derivative of 0 - 2*j + 1/2*j**2. Give z*f(u) + q(u).
-u + 1
Let y(d) = -3*d - 121. Let o(b) = -6*b + 1. Determine -o(g) - y(g).
9*g + 120
Let k(p) = -230*p - 15. Let i(n) = 224*n + 7. Determine -4*i(y) - 3*k(y).
-206*y + 17
Suppose 359*y = 371*y - 48. Let v(m) be the first derivative of 3/2*m**2 - 3 + 7*m. Let d(u) = u + 1. Determine y*d(k) - v(k).
k - 3
Let y(p) = 118*p - 3512. Let u(m) = -20*m + 2. What is -6*u(f) - y(f)?
2*f + 3500
Let s(b) = b**2 + 69*b + 25. Let c(y) = -y**2 - 81*y - 23. Calculate 5*c(w) + 6*s(w).
w**2 + 9*w + 35
Let k(o) = 47*o**3 + 3*o**2 + 3*o + 3998. Let j(t) = -31*t**3 - 2*t**2 - 2*t - 3998. Determine 3*j(p) + 2*k(p).
p**3 - 3998
Let n(t) = -t**3 - 2*t + 4. Let r(p) = -3*p + 0*p + 4*p - 1 + 0*p - p**2. Let h = -965 + 967. Calculate h*r(a) + n(a).
-a**3 - 2*a**2 + 2
Let l = 24 + -29. Let d(w) = -4*w**2 - 47*w - 7. Let g(s) = -8*s**2 - 82*s - 13. Let c(a) = 7*d(a) - 4*g(a). Let n(t) = 2*t**2 - t + 2. Give l*n(x) + 3*c(x).
2*x**2 + 2*x - 1
Let q(k) = -3*k**2 - 5*k - 5. Let z(w) = -8*w**2 - 12*w - 12. Let p(n) = n**2 + 5*n - 92. Let h be p(-13). Let u = -163 + 158. What is h*q(x) + u*z(x)?
4*x**2
Let d(k) = -3*k**3 + 19*k**2 + 9*k - 3. Let a(n) = 299 + 4*n + 8*n**2 - 126 - n**3 + 2*n**2 - n**2 - 174. Calculate -7*a(c) + 3*d(c).
-2*c**3 - 6*c**2 - c - 2
Let c(j) = 341*j - 46. Let t(v) = 341*v - 55. Determine 6*c(m) - 5*t(m).
341*m - 1
Let z(p) = 25*p**3 + 7*p**2 + 6*p. Let q(c) = 36*c**3 + 10*c**2 + 8*c. Determine -5*q(v) + 7*z(v).
-5*v**3 - v**2 + 2*v
Let u(p) = 13*p**2 - 89*p + 42. Let g(i) = -11*i**2 + 76*i - 43. Determine -7*g(a) - 6*u(a).
-a**2 + 2*a + 49
Let r(d) be the third derivative of d**4/12 + 5*d**3/3 + 305*d**2 + 2*d. Let s(h) = 5*h + 21. What is -9*r(g) + 4*s(g)?
2*g - 6
Let y(w) be the second derivative of 2*w**3/3 - w**2/2 + 736*w. Let z(s) = 3*s - 1. Calculate -5*y(c) + 6*z(c).
-2*c - 1
Let a(w) = 1. Suppose -5*y + 198 = 498. Let n be -1 - 63/(-49) - y/(-14). Let x be -2 - (n - (0 + -1)). Let o(q) = -2*q**2 + 6. Give x*o(s) - 4*a(s).
-2*s**2 + 2
Let l(o) = -5*o**2 - 2*o - 3. Let g(w) = -26*w**2 - 12*w - 17. Give 2*g(p) - 11*l(p).
3*p**2 - 2*p - 1
Let q(u) = 210*u - 10292. Let b be q(49). Let w be (-5)/(-3) - 8/12. Let g(v) = -3*v**2 - 3*v - 7. Let a(h) = -h**2 - h - 1. Give b*a(c) + w*g(c).
-c**2 - c - 5
Let m(p) be the second derivative of 11*p**4/12 + 5*p**3/6 + p**2/2 - p - 101. Let i(u) = -10*u**2 - 4*u - 1. What is 4*i(b) + 3*m(b)?
-7*b**2 - b - 1
Let k(i) = i + 1. Let f = 168 + -153. Let o(j) = 29*j - 12*j + 1 - f*j. Let g = -5 + 3. What is g*o(m) + 3*k(m)?
-m + 1
Let j(l) = 4055*l - 39. Let h(n) = -11674348*n + 112268. What is -6*h(v) - 17272*j(v)?
8128*v
Let z(r) = 2*r**3 - 2*r**2 + r - 1. Let l(d) = -29*d**3 - 66*d**2 + 10*d - 10. Give -l(t) + 10*z(t).
49*t**3 + 46*t**2
Let y(m) = m**2 + 15*m + 1. Let l(v) = -1769*v**2 - 60*v - 4. Give -l(q) - 4*y(q).
1765*q**2
Let x(t) = -4*t**2 + 5452*t. Let b(k) = -5*k**2 + 5442*k. Calculate 5*b(a) - 6*x(a).
-a**2 - 5502*a
Let o(w) = -34*w + 543. Let y(v) = 210*v - 3256. Calculate -19*o(x) - 3*y(x).
16*x - 549
Let n(h) be the third derivative of h**5/12 + h**4/24 - h**3/6 - 957*h**2. Let d(f) = -1. Determine 2*d(y) - n(y).
-5*y**2 - y - 1
Let c(k) = 7*k**2 + 2*k + 7. Let y be 14/(-3)*(-52 - -49). Let x = 10 + -5. Let q(z) = 13*z + 2*z**2 - x*z**2 - 3 - y*z. What is -2*c(w) - 5*q(w)?
w**2 + w + 1
Let k(m) = -589*m**3 + 2*m**2 - 2*m + 2. Let v(j) = -1571450*j**3 + 5337*j**2 - 5337*j + 5337. Determine -10674*k(t) + 4*v(t).
1186*t**3
Let u(n) = -2066*n + 6. Let x(y) = -223138*y + 649. Give 649*u(d) - 6*x(d).
-2006*d
Suppose -w - 2*a + 15 = 6, -4*w - 5*a = -21. Let m(o) = 4*o**3 - o**2 - o + 12. Let p(s) = s**3 - s**2 + 1. Determine w*m(u) + p(u).
-3*u**3 + u - 11
Suppose -4*o = -0*o - 12. Suppose -6 = -o*a, -5*i + 3*a = -a - 117. Let r(u) = 12 - i - 3*u + 9. Let t(k) = k + 2. What is -2*r(g) - 5*t(g)?
g - 2
Let p(k) be the first derivative of -k**4/2 + k**3 - k**2/2 - 3*k - 3394. Let t(w) = w**3 + 1. Give -2*p(q) - 6*t(q).
-2*q**3 - 6*q**2 + 2*q
Let k(i) = -13*i - 1207. Let f(a) = 7*a + 604. What is 11*f(s) + 6*k(s)?
-s - 598
Let x(f) = 712*f - 12. Let v(b) = -1429*b + 26. Give 6*v(u) + 13*x(u).
682*u
Let t(p) = 4*p**3 - p**2 - p. Let m(w) be the first derivative of -w**4/4 - w**3/3 - w**2/2 - 770. Calculate -2*m(j) + 2*t(j).
10*j**3
Let s(g) = 47*g - 594. Let p(l) = 161*l - 1784. What is 2*p(t) - 7*s(t)?
-7*t + 590
Let k(b) = -5*b - 4. Let w(u) = 14 + u + u**2 + 6*u + 0*u**2 - 17 - 11*u. Determine 4*k(c) - 5*w(c).
-5*c**2 - 1
Let h(u) = -u**3 - 2089*u + 6. Let f(p) = 418*p - 1. Calculate -11*f(k) - 2*h(k).
2*k**3 - 420*k - 1
Let w(d) = 18*d**2 - 1123*d + 2. Let u(v) = -5*v**2 + 373*v - 1. What is -7*u(i) - 2*w(i)?
-i**2 - 365*i + 3
Let p(z) = 12*z**2 + z + 2. Let s(i) = 3*i**2 - 4. Calculate p(j) + 4*s(j).
24*j**2 + j - 14
Let r(x) = 374*x + 99. Let b(q) = -20*q - 28*q - 4 + 33*q. Suppose 0 = 8*k - 759 - 33. Calculate k*b(u) + 4*r(u).
11*u
Let u(j) be the first derivative of -2*j**3/3 - 2*j**2 - 4*j + 965. Let o(h) = -h - 1. Calculate 4*o(q) - u(q).
2*q**2
Let l(h) = -29*h**2 + 4*h - 4. Let v(q) be the third derivative of 493*q**5/20 - 203*q**4/24 + 203*q**3/6 - 216*q**2. Determine -203*l(g) - 4*v(g).
-29*g**2
Let r(g) be the third derivative of -g**4/6 + g**3/3 - 1959*g**2 - g - 2. Let m(u) = -19*u + 10. What is 2*m(w) - 11*r(w)?
6*w - 2
Let n(w) = -23*w**3 + w**2 + 8*w - 8. Let p(r) = 22*r**3 - r**2 - 6*r + 10. Give -4*n(z) - 3*p(z).
26*z**3 - z**2 - 14*z + 2
Let g(f) = 407*f**2 + 8*f + 3. Let h(i) = -405*i**2 - 10*i - 3. Give -5*g(d) - 4*h(d).
-415*d**2 - 3
Let o(r) = -161*r - 11*r**2 + 336*r - 1 - 171*r. Let i(s) = -2*s**2 + 1. Let u(q) = 3*i(q) - o(q). Let l(v) = 5*v**2 - 5*v + 5. Calculate -4*l(g) + 5*u(g).
5*g**2
Let a(j) = 7*j**3 + 45*j**2 - 4*j. Let k(m) = -4*m**3 - 23*m**2 + 2*m - 1. What is 3*a(g) + 5*k(g)?
g**3 + 20*g**2 - 2*g - 5
Let i(b) = 2*b**2 + 27*b + 4. Let a(d) = -14*d - 1. Calculate 5*a(g) + 3*i(g).
6*g**2 + 11*g + 7
Let x be (-4)/12 - 390/(-117). Let t(o) = -o**3 - o - 1. Let q(b) = 7*b**3 + 2*b + 2. What is x*q(a) + 6*t(a)?
15*a**3
Let s(c) = -1461*c + 132953. Let m be s(91). Let z(r) = 1. Let d(k) be the second derivative of -k**5/20 - k**4/12 + k**3/6 - k**2 + k. Give m*z(p) + d(p).
-p**3 - p**2 + p
Let r(k) = 14*k**2 - 7*k + 92. Let g(q) = 24*q**2 - 12*q + 185. Calculate 3*g(s) - 5*r(s).
2*s**2 - s + 95
Let o(v) = -v**2 + v. Let d(p) be the first derivative of 0*p - 4/3*p**3 - 3/2*p**2 + 36. What is -d(x) - 3*o(x)?
7*x**2
Let r(q) be the first derivative of q**4 - 5*q**3/3 + 3*q**2 + 5*q + 2435. Let t(w) = -w**3 - w. Give r(x) + 6*t(x).
-2*x**3 - 5*x**2 + 5
Suppose 4*x - 2*x = s + 5, -5*x - 7 = 4*s. Suppose -13896 = -798*u - 4320. Let v(t) = t - 4. Let i(g) = -1. Calculate s*v(h) + u*i(h).
-3*h
Let l(d) = -1 + 4*d**2 - 2*d**2 - 3*d**2. Let k(b) = -12*b**2 - 10. Let g = 12205 + -12215. Determine g*l(f) + k(f).
-2*f**2
Let c(y) = 40*y**2 - 4*y. Let z(f) = 80*f**2 - 188*f + 569*f - 189*f - 199*f. Determine 7*c(w) - 4*z(w).
-40*w**2
Let u(x) = 10*x. Let l(k) = 5*k. Suppose 16*o = 2 - 55 + 133. What is o*l(t) - 2*u(t)?
5*t
Let t(a) = a**2. Let j(w) = w**2 - 19*w + 2. Give j(d) - 6