vative of b**5/24 - b**4/36 - 11*b**3/36 + 2*b**2/3 - 1271*b. Solve q(n) = 0 for n.
-8/5, 1
Let r = -139 + 138. Let u(v) = -v**3 + v**2 + v + 1. Let c(x) = 30*x**2 - 85*x + 55. Let z(j) = r*c(j) - 5*u(j). Factor z(g).
5*(g - 3)*(g - 2)**2
Let j = -48 - -43. Let t be j*(4/14)/(135/(-189)). Solve 3/5*a**t - 9/5*a + 0 = 0 for a.
0, 3
Let y = 115 + -77. Factor 10*n**3 - 15*n**3 + y - 59*n - 15*n + 7*n**3 + 34*n**2.
2*(n - 1)**2*(n + 19)
Determine u, given that -179*u - 60*u**2 + 170*u**4 + 195*u**3 + 35*u + u**5 + 44*u + 14*u**5 = 0.
-10, -1, 0, 2/3
Let f(z) = -5*z**3 - 3*z**2 + 7*z + 14. Let c(v) = 16 + v**3 + 8*v**2 - 4 + 6*v - 12*v**2 - 6*v**3. Let a(h) = 7*c(h) - 6*f(h). Factor a(n).
-5*n**2*(n + 2)
Suppose -2/7*w - 2/7*w**2 + 60/7 = 0. What is w?
-6, 5
Let s(m) be the first derivative of -22/9*m**3 - 7/30*m**5 + 0*m + 5/3*m**4 + 88 - 1/36*m**6 + 0*m**2. Suppose s(z) = 0. Calculate z.
-11, 0, 2
Factor 480/7*m - 3/7*m**3 - 57/7*m**2 + 9984/7.
-3*(m - 13)*(m + 16)**2/7
Let j(d) = 4*d**2 - 536*d + 17951. Let i(f) = -4*f**2 + 536*f - 17952. Let a = -398 - -402. Let x(b) = a*j(b) + 5*i(b). Factor x(q).
-4*(q - 67)**2
Let y = -561 - -616. Let m = -55 + y. Factor -1/2*f - 1/2*f**2 + m.
-f*(f + 1)/2
Let b(k) = -44*k**4 + 1350*k**3 + 17963*k**2 + 60074*k - 74. Let g(z) = 6*z**4 - 180*z**3 - 2395*z**2 - 8010*z + 10. Let v(t) = -10*b(t) - 74*g(t). Factor v(n).
-4*n*(n + 5)*(n + 20)**2
Let z(d) be the second derivative of -d**5/18 + 8*d**4/27 + 5*d**3/27 - 16*d**2/9 + 472*d + 10. Solve z(h) = 0 for h.
-1, 1, 16/5
Solve 156*h + 45*h**4 - 86*h**4 + 36*h**3 - 116*h**2 - 72 + 37*h**4 = 0.
1, 2, 3
Solve -4026*o**3 + 1576*o**4 - 2944*o - 5812*o**3 + 933 + 160*o**5 + 1162*o**3 - 597 + 8468*o**2 = 0.
-14, 1/4, 2/5, 1/2, 3
Let h(g) be the first derivative of -272 - 2/21*g**3 + 22/7*g - 10/7*g**2. Suppose h(k) = 0. What is k?
-11, 1
Suppose 0 = 4*b - 8*b + 20. Suppose -b*n + 3*j = -10, -2*n - j + 8 = 2*n. Factor -37 - 2*u**n + 2*u**4 + 37 + u**5 - u.
u*(u - 1)*(u + 1)**3
Let k(n) = -2*n**2 - n - 1. Let p(g) = -20*g**2 - 2*g - 12. Let v be (-3)/(-7) + (-747)/(-21). Let r(w) = v*k(w) - 4*p(w). Factor r(y).
4*(y - 3)*(2*y - 1)
Let g(m) = -3*m**2 + 24*m + 60. Let p be g(10). Let z be p + -6 - (-49 + 37). Let z*w**2 - 3/2*w**4 - 3/2*w**5 + 0*w + 6*w**3 + 0 = 0. Calculate w.
-2, -1, 0, 2
Let w = -21705 - -21707. Let h = 47 - 140/3. Solve -h*t + 1/3*t**w + 0 = 0 for t.
0, 1
Let c(a) = -11*a**4 - 160*a**3 + 180*a**2. Suppose 0 = 46*n - 34*n + 108. Let s(t) = -3*t**4 - 40*t**3 + 45*t**2. Let f(x) = n*s(x) + 2*c(x). Factor f(d).
5*d**2*(d - 1)*(d + 9)
Let o be (-116)/(-406) - 310/(-56)*(-14)/(-35). Factor o*a + 1/2*a**3 - 2*a**2 - 1.
(a - 2)*(a - 1)**2/2
Let f(b) be the second derivative of 3*b**7/7 + 257*b**6/50 + 516*b**5/25 + 611*b**4/20 + 15*b**3 + 1191*b. Find w, given that f(w) = 0.
-25/6, -3, -1, -2/5, 0
Let d(v) be the second derivative of -v**5/20 + 13*v**4/12 - 23*v**3/6 + 11*v**2/2 + 838*v. Factor d(u).
-(u - 11)*(u - 1)**2
Let g(r) be the third derivative of -5/6*r**4 + 7/30*r**6 + 0 + 2/105*r**7 - 5*r - 16*r**2 - 4/3*r**3 - 1/42*r**8 + 1/15*r**5. Determine a so that g(a) = 0.
-1, -1/2, 1, 2
Let z(p) be the second derivative of -1/18*p**3 - 2/3*p**2 + 0 + 1/72*p**4 - 52*p. Factor z(w).
(w - 4)*(w + 2)/6
Let u(o) be the second derivative of 2*o**7/21 + 8*o**6/5 - 16*o**5/5 - 38*o**4/3 + 10*o**3 + 52*o**2 + 1705*o. Find p such that u(p) = 0.
-13, -1, 1, 2
Let m(v) be the third derivative of v**6/60 - 43*v**5/5 + 4995*v**4/4 + 72900*v**3 - 3*v**2 - 7*v + 4. Factor m(g).
2*(g - 135)**2*(g + 12)
Let s(q) be the third derivative of -q**7/315 + q**6/60 + 8*q**5/45 + q**4/3 + 2*q**2 + 235. Factor s(v).
-2*v*(v - 6)*(v + 1)*(v + 2)/3
Let d(g) = g**3 - 2*g - 6. Let b be d(3). Suppose -2*r - 12 = -6*r + 4*q, 0 = -3*r - 3*q + b. Factor 125*a - r*a**2 - 145*a + 2*a**2.
-2*a*(a + 10)
Suppose 0 = 5*l - j - 1195, 0 = 2*l + 3*j - 306 - 172. Determine z, given that 239 + 17*z**4 + 5*z**5 + 6*z**3 - l = 0.
-3, -2/5, 0
Suppose -566*g - 17*g - 85*g + 2142 = 403*g. Suppose 45/8 + 39/8*p - 3/8*p**3 - 9/8*p**g = 0. What is p?
-5, -1, 3
Let n be (9 + -2)*(70/(-10) - -6). Let s be 24/40 - n/105. Suppose -2/9*p**2 + s*p + 8/9 = 0. What is p?
-1, 4
Factor 868/3*w**3 + 878/3*w - 2/3*w**5 - 1312/3*w**2 - 212/3*w**4 - 220/3.
-2*(w - 1)**4*(w + 110)/3
Suppose 2*p + 3*s = 648, 156 = p - 2*s - 168. Solve p + 63*o - 20*o**2 + 2*o**3 + 27*o - 12*o**2 = 0.
-2, 9
Let n(c) be the third derivative of c**7/630 + 11*c**6/135 + 121*c**5/90 + 59*c**3/6 - 6*c**2 - 7*c. Let l(d) be the first derivative of n(d). Factor l(b).
4*b*(b + 11)**2/3
Let i(g) = -2*g**2 - 26007*g - 33826008. Let l(p) = -9*p**2 - 104029*p - 135304031. Let h(a) = -11*i(a) + 3*l(a). Solve h(y) = 0.
-2601
Let b(w) be the second derivative of w**7/357 + 8*w**6/255 + 21*w**5/170 + 7*w**4/51 - 20*w**3/51 - 24*w**2/17 + 187*w. Determine f, given that b(f) = 0.
-3, -2, 1
Let r(d) be the second derivative of -d**5/10 + 4*d**4/3 - 5*d**3 + 473*d. Let r(c) = 0. Calculate c.
0, 3, 5
Let j be (8/(-84))/((18148/(-364) - -50)/(2/(-6))). Let j*u**2 + 8 + 26/9*u = 0. Calculate u.
-9, -4
Suppose -2*g = i + 29, -5*g - g - 105 = -3*i. Factor 1/5*j**2 - 16/5 + 1/5*j**i - 16/5*j.
(j - 4)*(j + 1)*(j + 4)/5
Let p(l) = 18*l**3 - 16*l**2 - 26*l - 2. Let y(u) = -1 + 3 - 1 + 0 + 124*u**3 - 122*u**3. Let n(g) = -p(g) + 10*y(g). Factor n(h).
2*(h + 1)**2*(h + 6)
Let p be 6 + 40 + -16 + -28. Find q such that q**3 - 1/3*q**5 + 1/3*q**4 - 5/3*q**p + 2/3*q + 0 = 0.
-2, 0, 1
Suppose 0 = -p - h - 9 + 6, 3*h + 3 = 0. Let r be (11 + -8 - 0)*(-2)/p. What is o in 0 - 4/9*o + 2/3*o**2 - 2/9*o**r = 0?
0, 1, 2
Solve 1/5*f**5 + 13/5*f**4 + 3216*f - 41*f**3 - 1489/5*f**2 - 2880 = 0.
-15, 1, 8
Let b = 14002 + -13999. Let y(s) be the second derivative of 1/9*s**b + 0 + 22*s - 1/4*s**2 - 1/72*s**4. Factor y(v).
-(v - 3)*(v - 1)/6
Suppose 0 = -8*p + 7*p + 10. Let a = -6 + p. Factor 2*r**3 + 13 - 3 + 8*r**a - 6 + 10*r - 24*r**2.
2*(r - 1)**2*(r + 2)*(4*r + 1)
Suppose 7*c - g = -2, -5*c + 341 - 411 = -5*g. Let 5/3*p + 4 + 7/3*p**3 - 8*p**c = 0. What is p?
-4/7, 1, 3
Suppose -4*y + n = 458, -n + 5*n - 8 = 0. Let w be -1 + (-58)/(-42) + y/(-399). Factor 2/3*m**2 - w + 2/3*m**3 - 2/3*m.
2*(m - 1)*(m + 1)**2/3
Let p be (-462)/45 - (-9184)/861. Factor -p*l**2 - 54/5 - 24/5*l.
-2*(l + 3)*(l + 9)/5
Suppose -3*x + 22 = n + 8, 0 = -3*n - x + 58. Suppose 14*d - 9*d = n. Let -14/11*p**d - 10/11*p - 4/11 + 10/11*p**3 + 18/11*p**2 = 0. Calculate p.
-1, -2/7, 1
Let q = -608 - -691. Find d such that 52*d + 14*d**4 + 14*d**4 - 23*d**4 - 30*d**3 + q*d - 25*d**3 + 75*d**2 = 0.
-1, 0, 3, 9
Let h = 7232 - 7230. Let f(l) be the first derivative of -3/14*l**4 + 2/21*l**3 + 26 - 1/21*l**6 + 0*l**h + 6/35*l**5 + 0*l. Factor f(d).
-2*d**2*(d - 1)**3/7
Let n be 13250/8 + 44/(-176). Suppose n*w = 1651*w + 15. Factor -4/3*f**w + 0*f + 0 + 4*f**2.
-4*f**2*(f - 3)/3
Suppose 219*s + 1488 - 1488 = 0. Factor 0 + s*v**2 + 2/9*v**3 - 8/9*v.
2*v*(v - 2)*(v + 2)/9
Let v(b) be the third derivative of b**8/1680 + 8*b**7/175 + 383*b**6/300 + 76*b**5/5 + 1805*b**4/24 - 4053*b**2. Factor v(y).
y*(y + 5)**2*(y + 19)**2/5
Solve 3992 + 219*n + 1341 + 2*n**2 - 11*n + 75 = 0.
-52
Let z be (((-20)/14)/(-5))/(962/637*7 + -10). Factor 0 + z*c**2 - 6*c.
c*(c - 12)/2
What is r in -2*r**5 + 24 + 0*r**5 + 16*r + 10*r**4 - 8056*r**3 - 34*r**2 + 8038*r**3 + 4*r**5 = 0?
-6, -1, 1, 2
Let d(x) = 2*x**2 + 2*x**2 - 2 - 40*x + 6*x**2 - 3*x**2 - 5*x**2 + 32*x**3. Let o(g) = -21*g**3 - g**2 + 26*g + 1. Let z(k) = -5*d(k) - 8*o(k). Factor z(h).
2*(h - 1)*(h + 1)*(4*h - 1)
Let c(u) be the third derivative of 5*u**8/84 + 256*u**7/105 + 34*u**6/15 - 178*u**5/15 - 73*u**4/6 + 100*u**3/3 - 18*u**2. Solve c(v) = 0.
-25, -1, 2/5, 1
Suppose 164722*w = 164704*w + 54. Let i(h) be the second derivative of 1/4*h**w - 1/16*h**4 - 3/8*h**2 - 40*h + 0. Let i(v) = 0. Calculate v.
1
Suppose 2*d = -27 + 37. Suppose -d*p - 17 = -6*p. Factor -13*x + 12*x**2 - 7*x**2 + 0*x - p*x.
5*x*(x - 6)
Let u(h) be the first derivative of -h + 110. Let q(s) = -4 + 3*s**2 + 8*s + 2*s**3 - 2*s**3 + 2*s**3 - 11*s**2. Let y(g) = -q(g) + 4*u(g). Factor y(j).
-2*j*(j - 2)**2
Solve 1742/3*k**2 - 8/3 + 1160*k = 0 for k.
-2, 2/871
Find c such that -1074/13*c**2 + 3208/13*c + 2/13*c**3 