hird derivative of u(a). Factor d(i).
4*(i + 9)**2
Let x(p) = -p**2 - p. Let z(k) = -2*k**3 + 7*k**2 + 3*k - 6. Let j be ((-6)/4)/((-10)/4 - -4). Let v(l) = j*z(l) - 2*x(l). Factor v(g).
(g - 2)*(g + 1)*(2*g - 3)
Let w(b) be the first derivative of b**4/28 + 11*b**3/3 + 151*b**2/14 + 75*b/7 - 2309. Factor w(s).
(s + 1)**2*(s + 75)/7
Let p(m) be the first derivative of m**6/30 - 7*m**5/25 - 2*m**4/5 - 2248. Factor p(l).
l**3*(l - 8)*(l + 1)/5
Suppose -41 = -4*n - a, 9*a + 45 = 5*n + 4*a. Let q(l) be the first derivative of -n*l**3 + 2*l**4 - 4*l**2 + 42*l - 18*l + 3 - 24*l. Factor q(m).
2*m*(m - 4)*(4*m + 1)
Factor -7*o**3 - 1401*o**4 - 492*o + 360 - 1392*o**4 + 244*o**2 + 2797*o**4 - 45*o**3.
4*(o - 5)*(o - 3)**2*(o - 2)
Let h(k) = -5*k**3 - 9*k**2 - 3*k + 38. Let s(r) = -4*r**3 - 10*r**2 - 4*r + 32. Let j(c) = 2*h(c) - 3*s(c). Factor j(o).
2*(o - 1)*(o + 2)*(o + 5)
Let v(x) be the third derivative of x**6/360 + 17*x**5/60 - 23*x**4/6 + 112*x**3/9 + 7*x**2 + 3*x - 17. Factor v(b).
(b - 4)*(b - 1)*(b + 56)/3
Let q(r) be the third derivative of r**6/420 + 11*r**5/30 - 13*r**4/14 - 9*r**2 + 249*r. Factor q(l).
2*l*(l - 1)*(l + 78)/7
Suppose 5*x = 9*x - 8. Suppose 0 = 39*t - 38*t - x. Let 4*w**2 - 21 + 13 - 19*w**t - 5*w**3 + 5*w + 18 + 5*w**4 = 0. Calculate w.
-1, 1, 2
Find a, given that 20/3 + 94/9*a + 2/9*a**3 + 4*a**2 = 0.
-15, -2, -1
Let w = -9/776 + 5071/2328. Factor -z**4 - 1/6*z**5 - w*z**3 - 2/3*z - 2*z**2 + 0.
-z*(z + 1)**2*(z + 2)**2/6
Let n be ((-96)/18 + 4)/(12/(-216)*15). Let n + 2/15*o**2 - 16/15*o = 0. Calculate o.
2, 6
Let w be 2/(-19) - (32 - (-78992)/(-2432)). Let t be 2 - (25/15 - 1/(-3)). Factor 0*u**3 - 3/4*u**4 - w*u**5 + 0 + t*u**2 + 0*u.
-3*u**4*(u + 2)/8
Let n(j) be the second derivative of 1/6*j**3 - 1/20*j**5 + 50*j + 1/180*j**6 + 0*j**2 - 1/72*j**4 + 0. Suppose n(r) = 0. Calculate r.
-1, 0, 1, 6
Let w(y) be the first derivative of 2/15*y**3 - 2/5*y**2 + 13 - 2/25*y**5 + 0*y + 1/5*y**4. Find u such that w(u) = 0.
-1, 0, 1, 2
Let y(t) be the first derivative of -t**3/3 + 661*t**2 - 436921*t + 5994. Let y(n) = 0. What is n?
661
Let -17920*m**4 + 108*m - 877*m**2 - 472*m**2 + 17152*m**5 + 7*m - 3 + 7200*m**3 - 201*m**2 + 190*m**2 = 0. Calculate m.
3/67, 1/4
Let j(x) be the first derivative of 4/9*x**2 + 5/6*x**4 - 10*x - 4 - 8/9*x**3 - 5/18*x**5. Let k(c) be the first derivative of j(c). Solve k(g) = 0.
2/5, 1
Let l(r) be the first derivative of 3*r**4/4 + 41*r**3 + 4491. Factor l(o).
3*o**2*(o + 41)
Let p = 454442/3 - 151471. Factor -p*n**2 + 10/3*n**3 - 4 + 32/3*n - 1/3*n**4.
-(n - 6)*(n - 2)*(n - 1)**2/3
Let u = -33575 + 201451/6. Let w(i) be the third derivative of 2/15*i**5 - u*i**4 + 1/30*i**6 + 0*i + 13*i**2 - 4/3*i**3 + 0. Factor w(t).
4*(t - 1)*(t + 1)*(t + 2)
Let a be ((-5)/(-6))/((-9)/(-54)). Let f be 38/4 + a*(-3)/(-30). Let m(z) = -1. Let j(x) = -4*x**2 - 8*x - 14. Let r(h) = f*m(h) - j(h). Factor r(g).
4*(g + 1)**2
Let u(k) = 5*k**4 - 9*k**3 - k**2 - 3*k + 2. Let s(n) = -4*n**4 + 8*n**3 + 2*n - 1. Let z = 364 - 369. Let y(a) = z*u(a) - 6*s(a). Factor y(i).
-(i - 1)**2*(i + 1)*(i + 4)
Let d = -89 - -98. Let g be (-2 + -1)/((-9)/d). Determine o, given that 2*o**3 - 87*o - g*o**3 - o**2 + 89*o = 0.
-2, 0, 1
Suppose 4*j - s + 2998 = -0*s, j + 3*s = -756. Let g be j/700*8/(-3). Solve -50/7 - g*a - 2/7*a**2 = 0.
-5
Suppose 6513 = a + 6511. Let s(u) be the second derivative of 0 + 0*u**a + 1/4*u**4 - 1/2*u**3 - 26*u. Factor s(w).
3*w*(w - 1)
Let h(y) = 6*y**5 - 6*y**4 + 18*y**3 + 14*y**2 - 16*y + 8. Let s(m) = m**5 - m**4 - m**2 - 3*m + 1. Let t(n) = -h(n) + 8*s(n). Factor t(c).
2*c*(c - 4)*(c + 1)**3
Let n be -285*(-23)/230 + -25. Let -n*p + 25/2*p**3 - 1 + 10*p**2 = 0. Calculate p.
-1, -1/5, 2/5
What is u in -393*u + 520*u**2 - 12467*u**3 + 5*u**4 + 12372*u**3 - 96*u - 391*u = 0?
0, 4, 11
Suppose 37/7*f**2 + 127/7*f + 1/7*f**3 - 165/7 = 0. Calculate f.
-33, -5, 1
Let g = 449 - 441. Let b be (-276)/114*(1 - g). Determine j so that -16/19 + 60/19*j**2 + 72/19*j - 294/19*j**4 - b*j**3 = 0.
-1, -2/3, 2/7
Let u(m) be the first derivative of m**6/3780 + 2*m**5/105 + 4*m**4/7 + 19*m**3/3 + 17. Let o(q) be the third derivative of u(q). Factor o(g).
2*(g + 12)**2/21
Let d(q) be the third derivative of -1/1080*q**6 + 0 + 1/12*q**4 - 4/3*q**3 - 34*q**2 - 1/360*q**5 + 0*q. Let m(p) be the first derivative of d(p). Factor m(g).
-(g - 2)*(g + 3)/3
Let q(m) be the second derivative of -m**6/15 + 53*m**5/5 - 2809*m**4/6 + m - 129. Find b, given that q(b) = 0.
0, 53
Let p(j) = -2*j**3 - 4534*j**2 + 12*j + 3. Let a(i) = 2*i**2 + 4*i + 1. Let t(n) = -6*a(n) + 2*p(n). Suppose t(z) = 0. Calculate z.
-2270, 0
Let w(p) be the third derivative of -p**7/1260 - p**6/270 + p**5/180 + p**4/18 - 17*p**3/2 + 6*p**2. Let f(z) be the first derivative of w(z). Factor f(u).
-2*(u - 1)*(u + 1)*(u + 2)/3
Let o = 7721 - 7719. Let s(y) be the second derivative of 0*y**4 + y + 1/120*y**5 + 0 - 1/252*y**7 + 0*y**o + 0*y**3 + 0*y**6. Find n, given that s(n) = 0.
-1, 0, 1
Let u = 244 + -132. Let v = -107 + u. Let y(i) = 3*i**2 + i - 6. Let o(h) = 7*h**2 + h - 13. Let d(j) = v*y(j) - 2*o(j). Factor d(l).
(l - 1)*(l + 4)
Let s be (-52)/6 + (-20)/(-30). Let k(o) = -o**2 - 14*o - 39. Let t be k(s). Factor -3 - 4*m**2 - 3*m + 6 + 13*m**2 - t*m.
3*(m - 1)*(3*m - 1)
Let k(y) = y**4 + y**3 - y**2 - y - 4. Let m(w) = -w**5 + 108*w**4 + 218*w**3 - 2*w**2 - 2*w - 8. Let u(b) = -4*k(b) + 2*m(b). Suppose u(q) = 0. Calculate q.
-2, 0, 108
Factor 36*o + 3289*o**3 - 1786/3*o**2 + 1331/6*o**5 + 0 - 12221/2*o**4.
o*(o - 27)*(11*o - 2)**3/6
Let o(j) be the first derivative of -3*j**5 + 9/2*j**4 - 12*j**2 + 1/2*j**6 + 0*j + 34 + 4*j**3. Find c such that o(c) = 0.
-1, 0, 2
Let d(o) = 5*o + 15. Let k be d(4). Let c be 67/k + 22/77 - 2. Factor -1/5*q**2 + 0 + c*q - q**3 - 3/5*q**4.
-q*(q + 1)**2*(3*q - 1)/5
Let n be (-7225)/(-57375) + (14/27)/7. Suppose n + 0*j - 1/5*j**2 = 0. Calculate j.
-1, 1
Let w(o) be the third derivative of -2*o**7/15 - 16*o**6/5 + 49*o**5/5 + 88*o**4/3 - 40*o**3 + 645*o**2. Let w(g) = 0. What is g?
-15, -1, 2/7, 2
Factor -287*d - 70*d - 455*d**2 - 98*d + 50*d**3 + 57 - 7.
5*(d - 10)*(d + 1)*(10*d - 1)
Let k(i) = 4*i**2 + 14*i + 2. Suppose 116 = 31*c - 225. Let o(w) = 21*w**2 + 69*w + 11. Let j(l) = c*k(l) - 2*o(l). Determine t so that j(t) = 0.
-8, 0
Let w = 6891 - 6886. Let h(k) be the second derivative of 0*k**2 + 1/14*k**7 + 12*k + 7/30*k**6 + 3/20*k**w + 0 - 1/3*k**3 - 1/4*k**4. Solve h(a) = 0 for a.
-1, 0, 2/3
Let u(s) be the third derivative of 31*s**6/40 - 35*s**5/12 + 71*s**4/24 + 11*s**3/6 + 1356*s**2. Factor u(b).
(b - 1)**2*(93*b + 11)
Suppose 6770404/7 + 4/7*o**2 + 10408/7*o = 0. Calculate o.
-1301
Let v(q) be the second derivative of -q**5/40 + 41*q**4/24 - 133*q**3/4 - 441*q**2/4 + 3553*q. Factor v(k).
-(k - 21)**2*(k + 1)/2
Let n(m) = -3*m**2 - 3*m. Let l be n(-3). Let p = l + 18. Solve p*v + 4 + 4*v**2 - 5*v**2 + 2*v + v = 0.
-1, 4
Suppose -4*u = 3*j - 27, -4*j - 2*u + 11 = -3*j. What is g in -138*g**2 + 10*g**2 + 20*g - 36*g**2 - 59*g**4 - j*g**4 + 352*g**3 = 0?
0, 1/4, 5
Let u be 2/(-3) + 24/9 - -1. Suppose -3*t + 14 = 8. Factor -4*v**t + 12*v - 3*v**2 - u*v**2 - 12 + 7*v**2.
-3*(v - 2)**2
Suppose -5*p + 10*p - 2*a - 10 = 0, -4*a = -5*p. Suppose -919*k**2 - 4 + 3*k**4 + 3*k - 3*k**3 + k**p + 924*k**2 - 5*k**4 = 0. What is k?
-4, -1, 1
Let d = 10082/15351 + -132/731. Let 2/21*r**3 - 26/21*r + 2/3 + d*r**2 = 0. Calculate r.
-7, 1
Factor -17*v + 43*v - 30*v + 65*v + 77*v + 3*v**2.
3*v*(v + 46)
Solve -135/2 + 3/4*o**3 - 399/4*o - 63/2*o**2 = 0.
-2, -1, 45
Let y(q) be the second derivative of -7/4*q**3 + 1/8*q**4 - 15*q + 1 + 0*q**2. Find r such that y(r) = 0.
0, 7
Let k = -25373495243/3544 - -14319129/2. Let g = -2/443 + k. What is n in 0*n - g*n**2 + 3/8 = 0?
-1, 1
Let i(x) = 7*x**2 - 90*x + 91. Let y(d) = -2*d**2 + d - 1. Let q(b) = 5*i(b) + 20*y(b). Factor q(c).
-5*(c - 1)*(c + 87)
Let 17*o - 44/3*o**2 - 1/3*o**3 + 90 = 0. What is o?
-45, -2, 3
Suppose -10*t**5 + 7*t**5 + 9*t + 37261*t**2 + 3 - 9*t**4 - 37255*t**2 - 6*t**3 = 0. What is t?
-1, 1
Suppose -423*c**3 - 27*c**5 - 222 + 663*c + 110*c + 718 - 53*c - 465*c**3 - 904*c**2 + 603*c**4 = 0. Calculate c.
-2/3, 1, 2, 62/3
Let u(j) be the third derivative of 0 - 1/30*j**6 - 3/8*j**