i + 1
Let i(w) be the first derivative of 3*w**2 - 1. Let s = -15 + 10. Let y(j) be the first derivative of 7*j**2/2 + 248. Calculate s*y(k) + 6*i(k).
k
Suppose 758*h - 750*h = 72. Let v(a) = a**2 + 4*a. Let w(l) = 3*l**2 + 9*l. What is h*v(z) - 4*w(z)?
-3*z**2
Let k = -1208 - -1214. Let z(h) = -4*h**3 - 4*h**2 - 6*h + 6. Let l(b) = -8*b**3 - 9*b**2 - 13*b + 13. Determine k*l(q) - 13*z(q).
4*q**3 - 2*q**2
Let o(u) = -2*u**3 + 5. Let c be ((-2)/4)/(8/80). Let b(a) = 0*a**3 + a**3 - 2 + 1. Determine c*b(r) - o(r).
-3*r**3
Let p = 98 - 96. Suppose -4*g - p*r + 16 = 0, -5*r - 1 - 1 = -4*g. Let w(c) = -c - 3. Let o(m) = m + 2. Give g*w(x) + 4*o(x).
x - 1
Let d(f) = -28*f - 16. Let r(u) = 6*u + 3. Determine -2*d(g) - 11*r(g).
-10*g - 1
Let q(x) = 13*x**2 + 4*x + 8. Let p(l) = -7*l**2 - l - 2. Let f(o) = 4*p(o) + q(o). Let a(z) = -76*z**2. Determine 3*a(v) - 16*f(v).
12*v**2
Let c(o) = -4*o + 1. Let t(b) = -4*b + 2. Suppose 0 = -11*s + 872 - 938. Determine s*c(w) + 5*t(w).
4*w + 4
Let a(v) = 6*v**3 - 3*v**2 + 3. Let l be (9 - -5)/(4 - 2). Let t(x) = -13*x**3 + 7*x**2 - 7. What is l*a(n) + 3*t(n)?
3*n**3
Let c(b) = 2*b**3 + 2*b**2 + 2*b. Let j(t) = -13 + 3*t + 12 + 31*t**2 - 32*t**2 - 4*t. Give -c(i) - 2*j(i).
-2*i**3 + 2
Let r(j) = -j - 1. Let o(p) = 2*p**3 - 10*p - 10. Suppose -2*a = a - 102. Let b = 57 - a. Let k = b - 13. Calculate k*r(s) - o(s).
-2*s**3
Let d(y) = 5*y - 1. Let b(j) = -3. Let i(t) = -3*t - 4. Let l(u) = 3*b(u) - 2*i(u). What is 4*d(c) - 3*l(c)?
2*c - 1
Let a(i) = -1 + 4 - 2. Let x(p) be the first derivative of 3*p**2/2 - 2*p - 150. Give -2*a(d) - x(d).
-3*d
Let j(v) = 11*v**2. Let m(i) = -20*i**2 + 81*i - 7. Let l be m(4). Let t(d) = 54*d**2. Determine l*t(y) + 14*j(y).
-8*y**2
Let s(m) = 7*m + 6. Let n(z) = 14*z + 11. Determine 2*n(p) - 5*s(p).
-7*p - 8
Let h(s) = -4*s**3 + s + 21. Let n(p) = -p**3 + p + 1. What is -h(z) + 2*n(z)?
2*z**3 + z - 19
Let h(v) = v**2 + 4*v + 1. Let z(u) = 1. Determine -h(m) + 4*z(m).
-m**2 - 4*m + 3
Let q = -331 - -332. Let j(n) = 11*n + 2. Let v(x) = 5*x + 1. Let k(u) = 6*j(u) - 13*v(u). Let y(z) = -3*z + 4. What is q*y(g) + 2*k(g)?
-g + 2
Let i(l) be the third derivative of -l**4/6 + l**3/6 - 20*l**2. Let w(p) = -9*p + 1. Calculate -5*i(a) + 2*w(a).
2*a - 3
Let r(l) = 126*l**3 + 2*l**2 + 4*l + 7. Let n(y) = -y - 2. Give 4*n(q) + r(q).
126*q**3 + 2*q**2 - 1
Let b(a) = -4*a**3 + 79*a. Let c(l) = 5*l. What is b(r) - 2*c(r)?
-4*r**3 + 69*r
Let h(y) = 64*y**3 - y**2 - 4. Let w(s) = 96*s**3 - s**2 - 6. Give 7*h(n) - 5*w(n).
-32*n**3 - 2*n**2 + 2
Let q(g) = 13*g + 38*g + 24 - 11*g. Let h(r) = 8*r + 5. Calculate 24*h(a) - 5*q(a).
-8*a
Let w(l) be the first derivative of 119*l**2/2 - 35*l - 80. Let v(b) = -10*b + 3. What is 35*v(m) + 3*w(m)?
7*m
Let q(t) = -t**3 - 8*t**2 + 12*t + 3. Let y(l) = 2*l + 1. Calculate -q(s) + 6*y(s).
s**3 + 8*s**2 + 3
Let m = -24 - -26. Let q(i) = 9 - i**2 - 17*i**3 + 7*i**m + 3*i**2 + 9*i. Let v(o) = -8*o**3 + 4*o**2 + 4*o + 4. Determine 4*q(t) - 9*v(t).
4*t**3
Let d(j) = -j**2 - 118. Let f(r) = 2*r**2 + 235. Calculate 7*d(q) + 3*f(q).
-q**2 - 121
Let l(w) = 2*w + 2. Suppose -3*m + 9 = 0, -f + 3*m + 2 - 7 = 0. Let j(o) = f - 10 - 2*o + 3. Let t be 32/12 + (-4)/6. Give t*j(k) + 3*l(k).
2*k
Let v(c) = -3*c**3 - 8*c**2 - 3. Let a be v(-3). Let y(z) be the third derivative of -z**5/60 + 2*z**2. Let u(b) = -3*b**2. Give a*u(w) - 14*y(w).
-4*w**2
Let r be 45/(-10)*4/(-6)*-1. Let y(p) = -p**2 - 10*p - 10. Let g be y(r). Let v(n) = 3*n**2 - 2*n. Let w(o) = -15*o**2 + 11*o - 1. Determine g*v(m) + 2*w(m).
3*m**2 - 2
Let k(u) = -9*u**2 + 4*u. Let p = -207 + 203. Let z(x) = 9*x**2 - 3*x. Calculate p*z(b) - 3*k(b).
-9*b**2
Let d(x) be the third derivative of x**6/20 - x**5/15 + 5*x**4/24 - 5*x**3/6 - 5*x**2 + 53. Let g(w) = 6*w**3 - 5*w**2 + 6*w - 6. Give 6*d(p) - 5*g(p).
6*p**3 + p**2
Suppose 6*z - 104 = -44. Suppose 0 = 9*t - z*t - 3. Let g(j) = j**2 - 3*j - 2. Let k(d) = -5*d + 3*d - 2*d - 3 + d**2. What is t*k(b) + 4*g(b)?
b**2 + 1
Suppose 0 = -5*y - 0*y - 3*f + 6, -2*y + f = -9. Let z(s) = -6*s - s - 3*s + y*s. Let u(l) = 4*l. What is 11*u(d) + 6*z(d)?
2*d
Let c(f) = -44*f - 3. Let m(w) = -23*w - 1. Calculate -3*c(r) + 7*m(r).
-29*r + 2
Let d(i) = -5*i**3 - 7. Let n be 0 + -1 + 0 + -6. Let r = 13 + -9. Let y(x) = x**3 - 1. Let f(j) = -7*j**3. Let b(a) = f(a) + 4*y(a). Calculate n*b(o) + r*d(o).
o**3
Let c(x) = 6*x**2 - 5*x + 5. Suppose 12*a - 160 = -20*a. Let n(r) be the second derivative of 7*r**4/12 - r**3 + 3*r**2 - r. What is a*c(i) - 4*n(i)?
2*i**2 - i + 1
Let n(v) = -42*v + 5. Let j(r) = -40*r + 6. What is 3*j(f) - 4*n(f)?
48*f - 2
Let y(l) be the first derivative of -l**4/4 + 7*l**3/3 - 9*l**2/2 + 596. Let v(h) = 4*h**2 - 5*h. What is -5*v(n) + 3*y(n)?
-3*n**3 + n**2 - 2*n
Let t(z) be the second derivative of 5*z**3/6 - 11*z**2/2 - z. Suppose -5*p = -3*p. Let f(r) = 15 - 13 + p*r - r. Give 22*f(q) + 4*t(q).
-2*q
Let y(p) = -2*p**2 + 0*p**2 + 0*p**2 - 6*p - p**2. Let x(o) = -9*o**2 - 8*o - 3. Let s(m) = m**2 - m + 1. Let n(j) = 3*s(j) + x(j). Determine -6*n(t) + 11*y(t).
3*t**2
Let g(i) = 17*i**3 - 7*i - 7*i + 5*i - 9 - 4*i**3. Let z = 90 + -88. Let o(v) = 3*v**3 - 2*v - 2. Give z*g(r) - 9*o(r).
-r**3
Let d(h) = -367*h**3 - 4*h**2 + 347*h**3 + 2*h + 4*h**2 + 6*h**2 + h - 8. Let u(x) = 7*x**3 - 2*x**2 - x + 3. Determine -3*d(g) - 8*u(g).
4*g**3 - 2*g**2 - g
Let x(f) = -2*f + 8. Let y be 20/(-70) + 46/(-28)*-2. Suppose 2*q = -19 + y. Let v(d) = -1. Determine q*v(w) - x(w).
2*w
Let x be 156/2 - (6/1)/3. Let g = 78 - x. Let j(m) = 2*m**3 - 3*m**2 - 2*m + 2. Let c(i) = 8*i**3 - 12*i**2 - 9*i + 9. Calculate g*c(u) - 9*j(u).
-2*u**3 + 3*u**2
Let f(p) = 12*p**2 + 2*p - 5. Let n(m) = m**2 - 1. Let t(v) = f(v) - 6*n(v). Let d(h) be the second derivative of h**4/12 + 23*h. What is 4*d(r) - t(r)?
-2*r**2 - 2*r - 1
Let o(r) = 8610*r + 2460. Let h(u) = 3*u + 1. Determine 2460*h(n) - o(n).
-1230*n
Let s(k) = -2*k**2 - 2*k + 1. Let m(a) = 3*a**2 - 7*a + 1. Let v(x) = x**2 - x. Let q(l) = -m(l) + 4*v(l). Give 2*q(y) + 3*s(y).
-4*y**2 + 1
Let f(j) = -2*j**2 + 11*j + 9. Let p(n) = -n**2 - n + 3. Give -f(x) + 3*p(x).
-x**2 - 14*x
Let r(c) = -3*c**2 - 2*c + 6. Let v(a) = 2*a**2 + 2*a - 5. Suppose 3*j - 23 = 13. Suppose 6*p - p = 2*f - 28, -j = -4*f - p. What is f*r(g) + 5*v(g)?
-2*g**2 + 2*g - 1
Let n(w) = 7*w + 6. Suppose -4*s = -4, f - 3*f - 101 = 5*s. Let x be f/5 - (-16)/(-40). Let r(g) = 20*g + 17. Calculate x*n(v) + 4*r(v).
3*v + 2
Let k(s) = -25*s + 4. Let o(q) = 24*q - 5. Give 5*k(n) + 4*o(n).
-29*n
Let u(h) = 3*h - 1. Let w be 1*(4/2)/2. Let c(s) = 32 - 5 - 28. Give w*u(f) - 3*c(f).
3*f + 2
Let c(s) = -s - 3. Suppose -4*z = 5*j + 16, 2*z - 3*z = j + 3. Let n be c(j). Let t(g) = 1 + 6*g - 4*g - 2 - g**2. Let w(v) = v**3 + v**2. Give n*t(y) + w(y).
y**3 + 2*y - 1
Let z(u) = u - 3. Suppose -2*c + c + 5 = 0. Suppose -5*n - 5*s = c, -21 - 9 = -5*n + 2*s. Let v(q) = 3 + 4 - 8 + 2. Calculate n*v(y) + z(y).
y + 1
Let g(u) = -u**3 + u - 1. Let h(q) be the second derivative of -q**3/2 + q**2/2 - 5*q. Let p = 149 - 151. Give p*g(w) - h(w).
2*w**3 + w + 1
Let h(o) = 5*o - 5. Let b(k) be the first derivative of k**3/3 - k**2/2 + k - 160. Give 5*b(z) + h(z).
5*z**2
Let q be (-6 + (-5 - -9))*-5. Let m(w) = -w - 3. Let z(s) = 0 + 0 + 1. Calculate q*z(f) + 2*m(f).
-2*f + 4
Let g(l) = -4 + 4 + 5*l**2 - 1 - 2*l. Let d(n) = n**2. Suppose 7*o + 4 = 6*o - 2*y, 4 = -y. What is o*d(h) - g(h)?
-h**2 + 2*h + 1
Let u(i) = -i**3 + i**2 - i - 1. Let r(w) = 7*w**3 - 6*w**2 + 6*w + 6. Let q = 53 + -53. Suppose 4*h = -q*h - 4. Determine h*r(k) - 6*u(k).
-k**3
Let s(t) = -68*t - 4. Let z(l) = -69*l - 2. Calculate -2*s(a) + 3*z(a).
-71*a + 2
Let s(d) = -31*d**3 - 3*d**2 + 3*d + 3. Let l(a) = 187*a**3 + 17*a**2 - 17*a - 17. Give -3*l(q) - 17*s(q).
-34*q**3
Let r(s) = -2*s + 16. Let n(l) = -1. Let q(j) = 36*n(j) + 2*r(j). Let p(o) = 2 + 4*o - o + 1. Suppose 9*b + 7663 = 7636. Give b*p(g) - 2*q(g).
-g - 1
Let a(l) = l**2. Let k(u) = 4*u**2 + 2*u - 4. Let p = -39 + 41. Give p*a(c) - k(c).
-2*c**2 - 2*c + 4
Let t(n) = 2*n - 5. Suppose b = -2*g + 15, 4*g - g + 3*b - 30 = 0. Suppose 4*h + 0*h - 20 = 0. Let q(c) = -2 + 6 + c - h*c + 2*c. Determine g*q(d) + 4*t(d).
-2*d
Let q be 3 + (-3)/(-3) + -8. Let y(f) = 14*f - 15. Let i(l) =