ivative of n(i). Factor p(w).
3*(w - 1)*(4*w + 1)/4
Let v(x) be the first derivative of x**5/50 + 39*x**4/4 + 388*x**3/15 - 4114. What is n in v(n) = 0?
-388, -2, 0
Let g(a) be the third derivative of -a**7/210 - a**6/60 - a**5/60 + 2294*a**2. Factor g(o).
-o**2*(o + 1)**2
Let u(o) = 30*o**3 + 65*o**2 - 25*o. Let q = -10 + -15. Suppose -66*d = -76*d - 40. Let l(x) = -5*x**3 - 11*x**2 + 4*x. Let f(c) = d*u(c) + q*l(c). Factor f(h).
5*h**2*(h + 3)
Let d be (0 + 0)/(21*(-116)/1218). Suppose 1/5*n**2 + d - 2/5*n**5 + 1/5*n**4 - 2/5*n + 6/5*n**3 = 0. Calculate n.
-1, 0, 1/2, 2
Let r be -7 + 4 + -1 + 4. Suppose r = 6*p + 37 - 133. Suppose 17*v - 4 - 2*v**2 + p + 4*v - 4*v**2 = 0. What is v?
-1/2, 4
Let i = 337552 - 337550. Determine b, given that -32/7*b - 2/7*b**4 + 30/7 - 4*b**i + 32/7*b**3 = 0.
-1, 1, 15
Suppose -4 + 17/6*z**2 + 43/3*z**3 + 7/6*z**4 - 43/3*z = 0. What is z?
-12, -1, -2/7, 1
Suppose -2*z - 24 = -2*y, -5*y - 4*z + 14 = -1. Suppose -2*r - 1 = -o, 4*r - y*o + 9*o = 18. Solve h + 1/2 + 1/2*h**r = 0 for h.
-1
Let v(c) = -17*c + 19. Let a be v(-6). Factor 315 - 2890*p**4 + 431 - 10*p**2 - 40*p**2 - a + 2891*p**4.
(p - 5)**2*(p + 5)**2
Let h(v) be the third derivative of 1/80*v**6 - 1/8*v**4 + 1/40*v**5 - 2*v**2 + 0*v + 0 + 0*v**3. Factor h(q).
3*q*(q - 1)*(q + 2)/2
Let m be (-273)/(-26) + 3/2. Factor 3*d**2 + 5*d**3 - m*d**2 - d**2 - 2 + 2 + 5*d**4.
5*d**2*(d - 1)*(d + 2)
Let f(y) = 14*y - 10 + y**2 - 11*y**2 + 4*y**2 + 10*y**2 - y**3. Let j be f(6). Factor -12*z - 163*z**3 + 78*z**3 + j*z + 87*z**3 - 8*z**2.
2*z*(z - 5)*(z + 1)
Let a be (44*13/(-52) - 225/(-20))*8. Factor 20/7*z + 12/7*z**3 - 24/7*z**a - 2/7*z**4 - 6/7.
-2*(z - 3)*(z - 1)**3/7
Let o(d) = -d**2 + 149*d + 158. Let c(k) = 150*k + 156. Suppose -53 + 13 = -10*r. Let t(a) = r*c(a) - 3*o(a). Factor t(p).
3*(p + 1)*(p + 50)
Suppose 5346*h - 50 = 5336*h. Let d(a) be the second derivative of -11/30*a**3 + 1/5*a**2 + 22*a + 0 + 4/15*a**4 - 7/100*a**h. Find i such that d(i) = 0.
2/7, 1
Let t(v) be the third derivative of 0*v**3 + 1/3*v**5 - 5/336*v**8 + 0*v - 42*v**2 - 1/3*v**6 + 0*v**4 + 0 + 5/42*v**7. Factor t(x).
-5*x**2*(x - 2)**2*(x - 1)
Determine s, given that 14*s**4 + 15525*s**5 - 46586*s**5 + 4375*s + 15529*s**5 + 150*s**3 + 15527*s**5 + 2000*s**2 - 54*s**4 = 0.
-5, 0, 7
Let x = -1 - -6. Let p(m) = -m**3 + 18*m**2 - 20*m + 55. Let z be p(17). Determine r so that -12*r**3 + 0*r**4 + 4*r**2 + 0*r**4 + 8*r + 4*r**x - z*r**4 = 0.
-1, 0, 1, 2
Suppose 0*v = -4*o + v + 5, o - v = 5. Let l be (-3)/(-2)*(16 + 13 + -27). Find b such that -1/3*b**l + o - b**2 - 2/3*b = 0.
-2, -1, 0
Factor 2/7*u**3 + 0 + 36/7*u**2 + 90/7*u.
2*u*(u + 3)*(u + 15)/7
Suppose 4*f = 5*d + 79, 4*d - 4 = -f - 0. Let c be (4/f)/(4/16). Find a, given that -4*a**2 + c + 0 + 5*a**2 - 2 = 0.
-1, 1
Let c(s) be the second derivative of -s**7/2520 + s**6/540 + s**5/72 - s**4/12 + 31*s**3/3 - 182*s. Let p(j) be the second derivative of c(j). Solve p(d) = 0.
-2, 1, 3
Factor 76*r + 31*r - 997 + 50 - r**2 + 33 - 566*r.
-(r + 2)*(r + 457)
Let s = -109 - -112. Let -446*m**2 + m**s + 458*m**2 + 3*m**3 + 8*m = 0. What is m?
-2, -1, 0
Let r(b) = 10*b**5 + 4*b**4 - 26*b**3 - 20*b**2 - 11*b - 66. Let u(g) = g**5 + g**4 - g**3 - g**2 - g - 6. Let w(s) = -2*r(s) + 22*u(s). Factor w(v).
2*v**2*(v + 1)*(v + 3)**2
Let t(m) be the second derivative of m**6/30 - 13*m**5/5 + 81*m**4/4 - 190*m**3/3 + 94*m**2 + 2*m - 2137. Let t(h) = 0. What is h?
1, 2, 47
Let d(k) be the first derivative of -25*k**6/8 - 177*k**5/4 - 1011*k**4/8 - 101*k**3 - 27*k**2 - 1767. Suppose d(g) = 0. Calculate g.
-9, -2, -2/5, 0
Factor -4059/4*w + 507/4 + 2034*w**2 - 12*w**3.
-3*(w - 169)*(4*w - 1)**2/4
Let r be (-16)/(-144)*-3 - 20/(-6). Factor 6*a + 2*a**4 + 3*a**r + a**4 - 28*a**2 - 58*a + a**3 - 24 + a**4.
4*(a - 3)*(a + 1)**2*(a + 2)
Suppose 3*y + 4*s = 9, -y + 3 = 10*s - 8*s. Solve -4*g - g**3 + 2*g**3 - 8*g**4 + 11*g**y = 0 for g.
-1/2, 0, 1
Suppose 0*d - 3 = -2*d - 5*t, 20 = 4*t. Let p be (-68)/d + 2 - 20/110. Find q such that 10*q**3 - 73*q**2 - 6 + 47*q**2 + 14 + p*q = 0.
-2/5, 1, 2
Let t = -120 + 168. Factor t*r**2 - 39*r**2 + 5*r - 18 + 16*r.
3*(r + 3)*(3*r - 2)
Let p(r) be the third derivative of -r**5/210 - 67*r**4/42 + 272*r**3/21 + 1759*r**2. Determine v, given that p(v) = 0.
-136, 2
Let l = -73237 + 366217/5. What is d in l - 2/5*d**2 + 0*d = 0?
-4, 4
Factor 8880 - 5/4*l**3 - 2300*l + 635/4*l**2.
-5*(l - 111)*(l - 8)**2/4
Let n(y) be the third derivative of 0 + 38*y**2 + 1/60*y**6 + 1/12*y**5 - 1/4*y**4 + 0*y**3 - 1/210*y**7 + 0*y. Find q, given that n(q) = 0.
-2, 0, 1, 3
Let d(x) = -18*x - 13. Let t be d(-1). Let -10*a**2 - 11*a**4 - 5*a**5 - 25*a**3 - 14*a**4 + t*a**4 = 0. What is a?
-2, -1, 0
Let n(z) = 8*z**3 - 6010*z**2 + 1505*z - 51. Let g(h) = -8*h**3 + 6010*h**2 - 1504*h + 34. Let w(i) = 3*g(i) + 2*n(i). Let w(d) = 0. Calculate d.
0, 1/4, 751
Let y(h) be the second derivative of -h**6/1080 - h**5/180 + h**3/3 + 4*h**2 + 61*h. Let x(j) be the second derivative of y(j). Factor x(s).
-s*(s + 2)/3
Let d be ((-84)/(-70))/(9/(-960)*1). Let h be (d/(-20) - 8)/(11/(-10)). Solve -32/11*i**2 + h*i - 2/11 = 0 for i.
1/4
Let i = 3154733/7 - 450676. Factor 11/7*f - 24/7 - i*f**2.
-(f - 8)*(f - 3)/7
Factor -3/2*n**3 - 100 - 53/2*n**2 + 1/2*n**4 + 255/2*n.
(n - 5)**2*(n - 1)*(n + 8)/2
Let x(j) be the second derivative of -18*j**2 + 5/6*j**4 - 16*j - 9*j**3 + 0. Solve x(v) = 0.
-3/5, 6
Let j = 3371939/105 + -32114. Let s = 44/21 + j. Solve -12/5*h**2 + 12/5*h - 3/5*h**5 - s*h**3 + 0 + 12/5*h**4 = 0.
-1, 0, 1, 2
Let z(h) be the third derivative of -h**5/300 + 59*h**4/30 + 241*h**3/6 - 21*h**2 - 24*h. Factor z(t).
-(t - 241)*(t + 5)/5
Let 40/3*c**2 + 2/9*c**3 + 728/3*c + 10816/9 = 0. Calculate c.
-26, -8
Let k(q) be the third derivative of 0*q - 1/1050*q**7 + 1/60*q**4 - 1/300*q**6 + 0*q**3 + 1/300*q**5 - 10*q**2 - 2. Factor k(z).
-z*(z - 1)*(z + 1)*(z + 2)/5
Let 5194*g - 65*g**2 - 10378*g - 22 + 5325*g = 0. What is g?
11/65, 2
Let a(s) be the first derivative of -80*s**2 + 45 - 164*s + 4/3*s**3. Factor a(w).
4*(w - 41)*(w + 1)
Let y(v) be the third derivative of v**8/4480 + v**7/1680 - v**4/24 + 25*v**3/6 - 69*v**2. Let h(s) be the second derivative of y(s). Factor h(d).
3*d**2*(d + 1)/2
Let g(l) be the first derivative of 0*l + 1/3*l**4 + 18 + 16/9*l**3 + 0*l**2. Find o such that g(o) = 0.
-4, 0
Let s(k) be the first derivative of 4*k**3/3 - 644*k**2 + 103684*k - 218. Factor s(i).
4*(i - 161)**2
Let k(n) be the first derivative of n**3/6 + 26*n**2 - 106*n + 1412. Suppose k(m) = 0. What is m?
-106, 2
Factor -10*q**2 + 262*q + 14*q**2 + 26 + 38*q + 801 + 829.
4*(q + 6)*(q + 69)
Let z be (4476 - 16)/(-10) + (-4 - 1). Let j = 453 + z. Factor 2/15*p**j - 16/5*p + 96/5.
2*(p - 12)**2/15
Let p be 56/12 + 4/(-6). Factor f**2 + 2*f**3 + 2*f**2 - 9*f**4 + 6*f**4 - p + 2*f**4 - 4*f.
-(f - 2)**2*(f + 1)**2
Suppose -27 - 86 = -19*m + 1. Let q(n) be the first derivative of -51/2*n**4 + 5 - m*n**3 + 0*n**2 - 5/3*n**6 + 0*n - 62/5*n**5. Let q(o) = 0. Calculate o.
-3, -1/5, 0
Let s(w) be the second derivative of w**8/13440 + w**7/5040 - w**6/90 - w**5/15 + 187*w**4/12 - w - 52. Let a(x) be the third derivative of s(x). Factor a(k).
(k - 4)*(k + 1)*(k + 4)/2
Let f = 40 + -37. Factor -86*x**2 + 42*x - 2*x**4 + 275 - 275 + 46*x**f.
-2*x*(x - 21)*(x - 1)**2
Let k = 257 - 260. Let u = 9 - 2. Let t(s) = s**2 - 6*s + 5. Let w(m) = -3*m + 3. Let a(l) = k*t(l) + u*w(l). Factor a(c).
-3*(c - 1)*(c + 2)
Let f = -7 - -12. Suppose 5*a - 2*b = 37 + 80, 5*b = -2*a + 12. Solve a*q**2 + 432*q + 1728 + 15*q**2 + f*q**3 - 4*q**3 = 0.
-12
Let k(i) be the third derivative of i**6/240 + 19*i**5/120 + 35*i**4/24 + 11*i**2 - 10. Factor k(v).
v*(v + 5)*(v + 14)/2
Factor 21*z + 1/2*z**4 - 13/2*z**2 + 0 - 3*z**3.
z*(z - 7)*(z - 2)*(z + 3)/2
Let w(r) = -354*r**2 - 3017*r - 24. Let p(g) = -589*g**2 - 5029*g - 40. Let z(d) = 7*p(d) - 12*w(d). Solve z(k) = 0 for k.
-8, -1/125
Let d(x) be the first derivative of x**4/2 + 34*x**3/3 + 63*x**2 - 162*x - 25. Factor d(g).
2*(g - 1)*(g + 9)**2
Let h = -532 - -534. Let k = -11 - -26. Factor -3*u**3 + h*u**3 - k*u**5 + 16*u**5.
u**3*(u - 1)*(u + 1)
Let k(m) be the third derivative of -20*m**2 - 1/30*m**5 + 0 - 1/210*m**7 + 0*m**3 + 0*m**4 - 1/672*m**8 + 