- 1
Let l(v) be the second derivative of 3*v**5/20 + 2*v**2 + 385*v. Let q(x) = 4*x**3 + 5. Give 6*l(n) - 5*q(n).
-2*n**3 - 1
Let t(b) = b + 3. Let n(q) = -q - 3. Let y(k) = -3*n(k) - 6*t(k). Let p(f) = 3*f + 9. What is -4*p(w) - 5*y(w)?
3*w + 9
Suppose -2*i - 4 = 0, 5*x - 79*i = -81*i - 24. Let f(u) = 1. Let v(d) = -5*d**3 + 4. Let r be (-2)/3*6/(-4). Give r*v(m) + x*f(m).
-5*m**3
Let u(i) = 48*i**2 + 6*i + 30. Let s(v) = -26*v**2 - 3*v - 16. Determine 11*s(w) + 6*u(w).
2*w**2 + 3*w + 4
Let a(o) = 13*o**2 - 3*o + 9. Let u(l) = 9*l + l - 8*l + 7 - 7*l**2 - 12. Determine -6*a(m) - 11*u(m).
-m**2 - 4*m + 1
Let o(n) = -n**2 + 2*n + 3. Let r(z) = -z**3 + z**2 + z. Let h be 2/8*(-232)/58. What is h*o(y) + 2*r(y)?
-2*y**3 + 3*y**2 - 3
Let a(g) be the second derivative of 11*g**4/12 - 2*g**3/3 + 3*g**2/2 - 826*g. Let z(l) = -l + 3*l**2 - 2*l**2 + 5 - 4. What is a(s) - 4*z(s)?
7*s**2 - 1
Let w(v) = -1426*v. Suppose 4*a - 3*a - 2*i = -22, a + 5*i = 41. Let g(p) = 25*p. Calculate a*w(x) - 230*g(x).
-46*x
Let x(s) be the third derivative of -5*s**4/24 + 12*s**2. Let y = 3080 - 3073. Let c be 0 + 2/(-1) + -2. Let i(f) = -9*f. What is c*i(n) + y*x(n)?
n
Let m(f) = 75*f**3 - 6 - 74*f**3 + 11*f**2 + 5*f - 15*f**2 + 13. Let r(p) = -p**2 + p + 2. Give 2*m(j) - 9*r(j).
2*j**3 + j**2 + j - 4
Suppose -3*d + 3 = a - 8, 5*a = -5. Let g(r) = -1 + 0 - 8*r**3 - 5*r - d + 0. Let c(y) = 15*y**3 + 9*y + 9. Give -6*c(i) - 11*g(i).
-2*i**3 + i + 1
Let y(a) = -a - 1. Suppose b = -2*b - 2*j, -3*b = 4*j. Suppose b = 4*k - 3 - 5. Suppose 4*v - 10 = k*v. Let l(q) = 6*q + 5. Calculate v*y(o) + l(o).
o
Let r(u) = -u**2. Let g(y) be the third derivative of y**5/20 - y**2. Suppose -6*j = -36*j - 14760. Let c = -488 - j. Calculate c*r(h) + 2*g(h).
2*h**2
Let d(r) = -10619*r**2 + 72*r. Let s(h) = -14159*h**2 + 99*h. Determine -11*d(m) + 8*s(m).
3537*m**2
Let f(w) = -15*w**3 + 7*w**2 + 4*w - 175. Let r(x) = 19*x**3 - 9*x**2 - 5*x + 174. What is -5*f(t) - 4*r(t)?
-t**3 + t**2 + 179
Suppose o = -3, -3*j + 0*j + 3*o - 3 = 0. Let i(v) = -26*v + 4. Let f(q) = -1. What is j*f(a) - i(a)?
26*a
Let z(v) = 243*v**3 - 45*v - 45. Let s(x) = -8*x**2 - 85*x + 18. Let h be s(-9). Let r(g) = 11*g**3 - 2*g - 2. Determine h*r(c) - 6*z(c).
27*c**3
Let r(l) be the first derivative of -l**2 + 5. Let h(a) = -a. Let q = -992 + 987. Give q*h(w) - r(w).
7*w
Let h(t) = -8*t**2 - 2*t - 3. Let b be (2 - 8)/((-3)/(-3)). Let p(i) = 9*i**2 + 2*i + 3. Let n = -7154 + 7147. Give b*p(a) + n*h(a).
2*a**2 + 2*a + 3
Let d(i) = 2*i + 4. Let n(v) = 11*v - 24. Let k(q) = 5*q - 8. Let l(c) = -5*k(c) + 2*n(c). Calculate -5*d(t) - 3*l(t).
-t + 4
Let j(q) = -8212*q - 26. Let a(f) = -2745*f - 8. Give -16*a(m) + 5*j(m).
2860*m - 2
Let b(q) = -8*q**2 - 2*q + 11. Let y(s) = s**2 - 1. Suppose -3*i - 1 = -25. Suppose -i = u - 9. Determine u*b(a) + 6*y(a).
-2*a**2 - 2*a + 5
Let v(r) = -31*r**3 - 8*r**2 - 8*r + 5. Let m(j) = 10*j**3 + 3*j**2 + 3*j - 2. Let q = -33176 + 33173. What is q*v(k) - 8*m(k)?
13*k**3 + 1
Let p(m) = 59*m + 3. Let f = -6248 - -6245. Let r(l) = 2184*l + 112. Give f*r(x) + 112*p(x).
56*x
Let m(q) = -2292*q - 5. Let t(y) = 4493*y + 11. What is 13*m(n) + 6*t(n)?
-2838*n + 1
Let s(r) = 2*r + 1. Let o(y) be the second derivative of -y**4/24 - 57*y**2 + 159*y + 2. Let c(k) be the first derivative of o(k). Determine 4*c(m) + s(m).
-2*m + 1
Let g(y) = 3*y - 54. Let u(b) = -b + 20. Let f(p) = -2*g(p) - 5*u(p). Let k(z) = -z + 9. What is 7*f(d) - 6*k(d)?
-d + 2
Suppose -4*k + 27 - 7 = 0. Let b(p) = -k*p + 2*p + 7*p. Suppose 86*j + 46*j + 276 = 178*j. Let x(v) = 23*v. What is j*x(r) - 34*b(r)?
2*r
Suppose 0 = 9*c + 74*c + 83. Let p(g) = g + 1. Let f(v) = -8*v - 8. Suppose -10 = 5*b + 15. What is b*p(w) + c*f(w)?
3*w + 3
Let x(j) = j**2 - j + 5. Let f(a) be the third derivative of a**4/24 - a**3/6 - 659*a**2. Let o be 1*(-6)/2*-1. What is o*f(c) + x(c)?
c**2 + 2*c + 2
Let r(h) = -93*h**3 + 17*h**2 - 17. Let u(z) = 31*z**3 - 6*z**2 + 6. Let a be -22 - (-19)/(171/144). Give a*r(f) - 17*u(f).
31*f**3
Let h(z) = 2*z + 615. Let c(q) = q + 568. Determine -7*c(b) + 6*h(b).
5*b - 286
Let w(s) = 9*s - 1. Let g(a) be the first derivative of -5*a**2 + a + 3093. Give -5*g(y) - 4*w(y).
14*y - 1
Let d(n) = 2*n**2 + 4*n + 3. Let h(a) = 2*a + 1. Let i(r) = 2*d(r) - 3*h(r). Let y(l) = -l**2. Determine i(t) + 6*y(t).
-2*t**2 + 2*t + 3
Let v(c) = -4*c**2 - c + 2. Let n(d) = -376*d + d**2 + 748*d - 372*d. Suppose 0 = 34*m - 77*m - 215. What is m*n(a) - v(a)?
-a**2 + a - 2
Let k(h) = 17*h + 2. Let d(a) = 24*a + 4. Let q(w) = 2*d(w) - 3*k(w). Let x(i) = -6*i + 4. What is -5*q(o) + 2*x(o)?
3*o - 2
Let k(r) = -61*r**2 - 3*r - 147. Let w(x) = 141*x**2 + 7*x + 295. What is 7*k(i) + 3*w(i)?
-4*i**2 - 144
Let x(o) be the second derivative of 5*o**3/2 - 38420*o. Let m(h) = 14*h. Suppose 4*u + 3 = -5*s - 10, -5*u + 30 = -3*s. Calculate s*m(a) + 4*x(a).
-10*a
Let o(m) be the third derivative of 7*m**4/12 + m**3/2 + 802*m**2. Let r(t) = -28*t - 6. What is 5*o(u) + 2*r(u)?
14*u + 3
Let x(d) = -4*d - 63. Let s be x(-6). Let j = 44 + s. Let m(k) = 7*k**3 + 5*k**2 + 5*k. Let a(w) = 3*w**3 + 2*w**2 + 3*w. What is j*a(n) - 2*m(n)?
n**3 + 5*n
Let w(j) = 7*j**3 + 8*j**2 + 6*j - 7. Let h(p) = 8*p**3 + 12*p**2 + 8*p - 6. What is -2*h(r) + 3*w(r)?
5*r**3 + 2*r - 9
Let p(i) = 80*i**2 + 3*i + 5. Let s(l) = -13*l**2 - l. Let a(d) = -p(d) - 6*s(d). Let x(v) = -1. Give -a(g) + 3*x(g).
2*g**2 - 3*g + 2
Let s(t) = 4*t**2 - 6*t - 8. Let l(g) = 25*g - 11*g + 3 + 3*g - 4. Let y(o) = -3*o. Let k(a) = -l(a) - 6*y(a). Determine 6*k(m) + s(m).
4*m**2 - 2
Let v(l) = -5*l**2. Let z(h) = 41*h**2 + 38*h. Calculate 2*v(q) + z(q).
31*q**2 + 38*q
Let x(w) be the second derivative of -3*w + 1/2*w**3 + 1 + 7/2*w**2. Let j(u) = 2 - 1 + 2 - 2. What is 6*j(h) - x(h)?
-3*h - 1
Let q(a) = a**3 + 8*a**2 - 2*a - 8. Let h(f) = 2*f**3 + 7*f**2 - f - 7. Suppose 4*s + 3*k = 2, -2*k = -6*s + 11*s - 13. Give s*q(o) - 6*h(o).
-7*o**3 - 2*o**2 - 4*o + 2
Let l(p) = -409*p**2 - 3*p + 13. Let o(x) = 138*x**2 + x - 5. Give -3*l(c) - 8*o(c).
123*c**2 + c + 1
Let c(s) = 35*s**3 - 5*s**2 + 6*s + 3. Let v(t) = 244*t**3 - 36*t**2 + 40*t + 20. Calculate 20*c(w) - 3*v(w).
-32*w**3 + 8*w**2
Let m(w) = -9*w + 2*w**3 - 4*w**3 - 3*w**3 + 7*w**2 - 4*w**3. Let q(n) = 4*n**3 - 3*n**2 + 4*n. Let g = 135 + -59. Let v = 90 - g. Determine v*q(y) + 6*m(y).
2*y**3 + 2*y
Let m = 249 - 232. Suppose -4*o + 16 - m = 3*d, -o = -2. Let c(t) = 3*t**3 - 3*t**2 - 3*t + 4. Let v(g) = 9*g**3 - 8*g**2 - 8*g + 11. Give d*v(j) + 8*c(j).
-3*j**3 - 1
Let x(z) = 4*z**3 + 5*z - 13. Let o(a) = a**3 + a - 3. Suppose 180 = 548*q - 503*q. Calculate q*x(i) - 18*o(i).
-2*i**3 + 2*i + 2
Let v be (1 - 1)/2 - 6. Let s = -91408 - -91391. Let g(l) = -20*l + 20. Let q(u) = 7*u - 7. What is s*q(m) + v*g(m)?
m - 1
Let p(h) = h. Suppose 0*l = -3*l + 21. Suppose l = -3*c + 10. Let o(v) = 0*v - 647636 + 647637 + 2*v. Give c*o(j) - p(j).
j + 1
Let x(f) = -11*f**2 - 2. Let c(z) = -2*z + 2. Let j(l) = 23*l**2 + 18*l - 15. Let o(t) = -9*c(t) - j(t). What is -3*o(n) + 5*x(n)?
14*n**2 - 1
Suppose -17 - 12 = p - 5*g, 0 = -6*p + g. Let q(m) = m**2 + m. Let z(y) = 8*y**2 + 3*y. Calculate p*z(a) - 6*q(a).
2*a**2 - 3*a
Let g(j) = j**3 - j**2 + j - 1. Let n = 18973 - 18972. Let w(m) = -14*m**3 - 6*m**2 + 8*m - 8. Determine n*w(h) - 8*g(h).
-22*h**3 + 2*h**2
Let x(o) = o - 12*o - 2 - 2*o + 12*o - 1. Let l(w) = 1 + 5 - 5. Let y(d) = 3*l(d) + x(d). Let i(s) = -2*s. What is 6*i(v) - 17*y(v)?
5*v
Suppose 4*s = -d + 79, -s - 13*d = -10*d - 6. Let p(f) = 2*f + 5 - f - 3 - 3 - f**2. Let u(v) = 6*v**2 - 7*v + 7. Determine s*p(c) + 3*u(c).
-3*c**2
Let c(y) = -135*y**3 - 7*y**2 - 39*y - 10. Let h(l) = -26*l**3 - l**2 - 7*l - 2. Give 2*c(m) - 11*h(m).
16*m**3 - 3*m**2 - m + 2
Let y(f) = f + 1. Let d(c) = -20 + 46436*c - 46435*c + 22. Calculate d(n) - 5*y(n).
-4*n - 3
Let u(s) = -48*s + 33. Suppose 0 = w - 8*w + 35. Let p(i) = -8*i + 9 - 7 + w*i. Let j(h) = -h**3 + 7*h**2 - 7*h + 4. Let k be j(6). Calculate k*u(c) + 33*p(c).
-3*c
Let s(a) be the first derivative of a**4/4 - 2*a**3 + a**2 - 4*a - 3038. Let n(d) = d**3 - 9*d**2 + 3*d - 6. Give -5*n(z) + 7*s(z).
2*z**3 + 3*z**2 - z + 2
Let g(k) = -k**3 - 4*k**2 + k + 1. Let z(m) be the second derivative of -m**5/20 - m**4/12 + m**2/2 -