erivative of c**8/15120 + c**7/3780 - c**6/270 + c**5/12 + 11*c**2. Let f(a) be the third derivative of d(a). Factor f(q).
4*(q - 1)*(q + 2)/3
Let j(f) be the second derivative of f**6/30 - 2*f**4/3 + 14*f**2 + 18*f. Let q(c) be the first derivative of j(c). Factor q(d).
4*d*(d - 2)*(d + 2)
Let v be -3 + 2 + 0 + 3. Let i = 5 - v. Factor -4*w**i + 3*w**2 + 2*w**4 - 2*w**4 + 10*w**3 + 3*w**4.
3*w**2*(w + 1)**2
Let r(u) be the first derivative of u**5/210 - u**4/84 - 2*u**3/21 + 11*u**2/2 + 7. Let m(q) be the second derivative of r(q). Factor m(d).
2*(d - 2)*(d + 1)/7
Let d(t) be the third derivative of t**7/945 - t**6/216 + t**5/180 - 19*t**4/12 + 42*t**2. Let v(r) be the second derivative of d(r). Factor v(m).
2*(m - 1)*(4*m - 1)/3
Let h(r) be the second derivative of r**5/20 + 13*r**4/12 - 8*r**3 - 53*r. Let h(n) = 0. What is n?
-16, 0, 3
Let o(p) = -21*p**2 - 48*p - 33. Let n(m) = -m**3 - 63*m**2 - 144*m - 100. Let s(c) = 3*n(c) - 8*o(c). Factor s(h).
-3*(h + 2)**2*(h + 3)
Let k(n) be the third derivative of n**5/60 - n**4/4 - 5*n**3/6 - 35*n**2. Let s be k(7). Factor -4/3*z**4 + 8/3*z**3 + 0 - 4/3*z**s + 0*z.
-4*z**2*(z - 1)**2/3
Let g(t) = 8*t**4 + 32*t**3 - 352*t**2 - 768*t + 4642. Let n(r) = -r**4 - 4*r**3 + 44*r**2 + 96*r - 580. Let c(m) = 6*g(m) + 51*n(m). Factor c(b).
-3*(b - 4)**2*(b + 6)**2
Let w(r) be the first derivative of r**6/6 + 2*r**5 + 9*r**4 + 58*r**3/3 + 43*r**2/2 + 12*r + 9. What is i in w(i) = 0?
-4, -3, -1
Let g be 26/(-114) + (-2)/(-6). Let n be ((-156)/(-104))/(3/4). Suppose -8/19*u + g*u**n + 8/19 = 0. What is u?
2
Solve -9*x**2 + 48 + 5 - 14 - 114*x = 0 for x.
-13, 1/3
Let i(n) be the second derivative of 1/45*n**6 - 7/30*n**5 + 0*n**2 + 0 - 17/18*n**4 - n**3 - 27*n. Suppose i(s) = 0. Calculate s.
-1, 0, 9
Let c(g) = g**2 + 2*g - 9. Let t be c(-9). Suppose 17*w = 20*w - t. Find y such that -3/2*y**3 - w*y + 12 + 9*y**2 = 0.
2
Let z = 584/1435 - 2/287. Solve -11/5*p + 1 + z*p**2 = 0 for p.
1/2, 5
Let i(a) = 6*a**2 + a. Let y be i(1). Suppose 6*k**4 - 8*k**3 + 10*k - 4*k**2 - y + 0*k - 2*k + 5 = 0. Calculate k.
-1, 1/3, 1
Let l(o) be the first derivative of -o**6/39 + 6*o**5/13 - 47*o**4/26 - 158*o**3/39 + 48*o**2/13 + 128*o/13 + 128. What is r in l(r) = 0?
-1, 1, 8
Let h(a) be the second derivative of -3/2*a**2 + 0 - 5/4*a**4 + 3*a**3 + 11*a. Find g, given that h(g) = 0.
1/5, 1
Let w = -237 - -241. Let b(k) be the second derivative of 3/100*k**5 - 1/10*k**3 - 3*k + 0 - 1/20*k**w + 3/10*k**2. Factor b(t).
3*(t - 1)**2*(t + 1)/5
Let n(b) = -3*b**2 - 1776*b + 262842. Let i(o) = o**2 + 1. Let w(g) = -6*i(g) - n(g). Determine m so that w(m) = 0.
296
Let f(j) = -15*j**3 - 51*j**2 - 33*j + 63. Let o(b) = 7*b**3 + 25*b**2 + 16*b - 32. Let h(g) = -4*f(g) - 9*o(g). Let h(d) = 0. What is d?
-6, -2, 1
Let p = -7561 + 7563. Factor 25/6 + 1/6*x**p - 5/3*x.
(x - 5)**2/6
Suppose -12 = -5*b + 4*s, 2*s + 6 = 13*b - 12*b. Factor b + 2/5*f**3 + 2/5*f - 4/5*f**2.
2*f*(f - 1)**2/5
Let r = -5269/90 - 148/45. Let b = r - -62. Determine x, given that 0*x + b*x**2 - 1/6 = 0.
-1, 1
Suppose -3*l + 27 + 9 = 0. Let m be l + (-1 - (0 + 2)). What is a in m*a**4 - 13*a**4 - 4*a**3 + a + 12*a**2 + 8 + 19*a = 0?
-1, 2
Let c(i) = -4*i**2 - 54*i + 46. Let g(t) = -14*t**2 - 162*t + 136. Let w(r) = -20*c(r) + 6*g(r). Suppose w(v) = 0. What is v?
1, 26
Let v(z) be the first derivative of -1/5*z**2 - 15 + 12/5*z - 2/15*z**3. Let v(q) = 0. What is q?
-3, 2
Suppose 27*s - 8 = 23*s. Determine p so that 10*p**4 - 5*p**2 - 5*p**2 - 5*p**5 + s*p**3 + 3*p**3 = 0.
-1, 0, 1, 2
Let l(q) = 12*q**3 + 36*q**2 + 57*q + 33. Let i(r) = -3*r**3 - 9*r**2 - 14*r - 8. Let w(s) = -21*i(s) - 5*l(s). Factor w(b).
3*(b + 1)**3
Let z be 2/(-11) + 57/11. Suppose -65 = -0*s - z*s. Determine q so that -7 - s*q - 2*q**2 + q - 11 = 0.
-3
Factor 4/11*m**2 - 2/11*m**3 + 10/11*m - 12/11.
-2*(m - 3)*(m - 1)*(m + 2)/11
Suppose 4*b - 9 - 39 = 0. Suppose -14 + 14 - b*n + 3*n**2 = 0. What is n?
0, 4
Let f(m) = -m**4 + 11*m**3 + 50*m**2 - 8*m - 4. Let t(n) = 10*n**3 + 50*n**2 - 10*n - 5. Let y(h) = 5*f(h) - 4*t(h). Determine p so that y(p) = 0.
-2, 0, 5
Suppose -30 + 4*o**2 + o**2 + 1195*o - 1190*o = 0. What is o?
-3, 2
Determine h, given that -6*h**3 - 5 + 14*h**3 + 5 - 2*h**4 - 24*h**2 + 18*h**2 = 0.
0, 1, 3
Let s = 604 - 599. Let u(d) be the second derivative of 0*d**4 + 2/7*d**2 + 1/70*d**s + 0 + 11*d - 1/7*d**3. Solve u(j) = 0.
-2, 1
Let g = 13 + -8. Let y(a) be the third derivative of -1/480*a**6 + 0*a - 1/120*a**g + 0 + 0*a**3 - 1/96*a**4 + 4*a**2. Find d such that y(d) = 0.
-1, 0
Let u(d) = d**3 + 22*d**2 + d + 50. Let p be u(-21). Let b be 2/(-20) + p/700. Find n, given that b*n**3 - 4/7*n + 4/7*n**4 + 8/7 - 12/7*n**2 = 0.
-2, -1, 1
Let f(o) be the second derivative of o**6/600 + o**5/150 + o**4/120 - 5*o**2/2 - 8*o. Let d(w) be the first derivative of f(w). Factor d(m).
m*(m + 1)**2/5
Determine c, given that -143 - 143 + 277 + c**2 - 8*c = 0.
-1, 9
Let i be 6/((-5 - 4)/(-3)). Let d(h) = -3 - 4*h**2 - 2*h + 6*h**i - 3*h. Let z(n) = -22*n**2 + 56*n + 34. Let s(v) = -68*d(v) - 6*z(v). Factor s(o).
-4*o*(o - 1)
Factor -5/2*g**2 - 3/4*g + 0 - 3/2*g**4 - 3*g**3 - 1/4*g**5.
-g*(g + 1)**3*(g + 3)/4
Factor 210*k - 78*k - 84 + 3*k**2 - 51*k.
3*(k - 1)*(k + 28)
Let f(r) be the third derivative of r**6/600 - r**5/300 - r**4/60 - 118*r**2. Determine u, given that f(u) = 0.
-1, 0, 2
Let z(r) be the first derivative of 7*r**6/540 + r**5/6 + 2*r**4/9 + 23*r**3/3 - 20. Let v(y) be the third derivative of z(y). Factor v(l).
2*(l + 4)*(7*l + 2)/3
Let v(d) be the first derivative of 4*d - 1/18*d**4 - 2 - 1/6*d**5 + 0*d**3 + 0*d**2 - 4/45*d**6. Let k(g) be the first derivative of v(g). Solve k(q) = 0.
-1, -1/4, 0
Let b(u) be the second derivative of 1/14*u**7 + 5/18*u**6 + 0 + 1/12*u**4 + 0*u**2 + 11*u - 1/9*u**3 + 7/20*u**5. Factor b(z).
z*(z + 1)**3*(9*z - 2)/3
Let o be (-2)/(-23) + ((-30)/70)/((-207)/96). Factor 0 + 2/21*h**3 + o*h + 8/21*h**2.
2*h*(h + 1)*(h + 3)/21
Let g = 42 + -40. Suppose 4*s**2 + s**g + 68 + 10*s - 83 = 0. What is s?
-3, 1
Let h(v) be the second derivative of v**6/60 + v**5/10 - v**4/8 - 5*v**3/6 + 2*v**2 + 80*v. Determine r, given that h(r) = 0.
-4, -2, 1
Let l(f) = -f**2 + 5*f + 24. Let c be l(9). Let h be c/(-32) - 203/(-952). Factor 8/17*i**2 + 2/17*i**3 + 4/17 + h*i.
2*(i + 1)**2*(i + 2)/17
Let h(t) be the third derivative of -t**7/2520 + t**6/240 + t**4/4 + 6*t**2. Let w(g) be the second derivative of h(g). Factor w(j).
-j*(j - 3)
Let n(c) = c**3 - c**2 + 6*c. Let j(b) = 5*b**3 - 12*b**2 + 15*b. Let d(o) = j(o) - 4*n(o). Factor d(k).
k*(k - 9)*(k + 1)
Factor -4*y**3 + 0 - 2*y + 2/3*y**5 + 0*y**4 - 16/3*y**2.
2*y*(y - 3)*(y + 1)**3/3
Let g(k) be the second derivative of -k**7/42 + 7*k**6/5 - 259*k**5/10 + 409*k**4/3 - 627*k**3/2 + 361*k**2 + 97*k. Let g(w) = 0. What is w?
1, 2, 19
Find v such that 16*v**2 - 22*v**2 + 40*v + 35*v**3 - 144*v**2 = 0.
0, 2/7, 4
Suppose d - 2 = 1524*u - 1527*u, 0 = 5*u - 5*d + 10. Find c, given that u*c + 0 - 4/7*c**2 + 6/7*c**3 + 0*c**4 - 2/7*c**5 = 0.
-2, 0, 1
Let d(u) be the first derivative of 1/6*u**4 + 2 + 9*u**2 + 6*u - 2*u**3. Let y(l) be the first derivative of d(l). Suppose y(v) = 0. What is v?
3
Suppose 260 - 260 = 16*y. Let u(k) be the second derivative of -18*k**2 - 9*k - 4*k**3 + y - 1/3*k**4. Factor u(f).
-4*(f + 3)**2
Solve 6/7*l**3 + 5/7*l**2 + 0 + 0*l + 1/7*l**4 = 0 for l.
-5, -1, 0
Let u(f) = 23*f - 457. Let b be u(20). Suppose -2 = 2*n - 3*n. Solve -16/13*o**4 + 14/13*o + 14/13*o**n - 46/13*o**b + 2/13 + 32/13*o**5 = 0 for o.
-1, -1/4, 1
Let p(t) = -2*t**4 - 58*t**3 + 2*t**2 + 50*t - 8. Let f(c) = c**4 + 20*c**3 - c**2 - 17*c + 3. Let d(x) = 8*f(x) + 3*p(x). Suppose d(l) = 0. What is l?
-1, 0, 1, 7
Let i(j) be the third derivative of 1/2*j**6 + 28*j**2 + 2/15*j**5 + 0 + 3/35*j**7 + 0*j + j**3 - 7/6*j**4. Suppose i(c) = 0. What is c?
-3, -1, 1/3
Let x(v) = 1065*v + 14913. Let f be x(-14). Factor 0*t - 8/9*t**2 + 2/9*t**f + 0.
2*t**2*(t - 4)/9
Let j(v) be the third derivative of -v**8/4032 - v**7/336 - v**6/72 - v**5/5 - 15*v**2. Let l(o) be the third derivative of j(o). Determine r so that l(r) = 0.
-2, -1
Solve 2/11*w**4 + 0 + 20/11*w**3 + 24/11*w - 46/11*w**2 = 0 for w.
-12, 0, 1
Suppose -11 = -20*i + 29. Factor -4/5*f + 4/