ive of 0*q**3 + 0*q + x*q**4 + 0 - 16*q**2 + 1/60*q**5. Factor s(n).
n*(n + 1)
Let f(v) = -4*v + 18. Let d be f(4). Solve 21*l + 56*l**d + 22*l + 23*l + 363 - 53*l**2 = 0 for l.
-11
Suppose -863*v + 948*v - 765 = 0. Factor -15/2*p**4 + v*p**3 - 21/2*p + 3*p**2 + 3/2*p**5 + 9/2.
3*(p - 3)*(p - 1)**3*(p + 1)/2
Let b(n) = 3*n**3 - 81*n**2 + 380*n - 42. Let c be b(21). Factor -3/4 + 1/4*l**4 - 2*l - 3/2*l**2 + c*l**3.
(l - 3)*(l + 1)**3/4
Let c(n) be the third derivative of n**5/100 - 143*n**4/40 + 141*n**3/5 - 493*n**2 - 9. Factor c(l).
3*(l - 141)*(l - 2)/5
Let r = 207582 + -207580. Factor 8/5*y - 2*y**r + 0 + 2/5*y**3.
2*y*(y - 4)*(y - 1)/5
Let c(u) be the third derivative of 2/15*u**5 - 11/36*u**4 - 1/36*u**6 + 1/630*u**7 + 0 + 0*u + 7/18*u**3 + 64*u**2. Suppose c(g) = 0. What is g?
1, 7
Let y(n) be the first derivative of -3*n**4/32 - 23*n**3/4 - 90*n**2 + 432*n - 6598. Find c, given that y(c) = 0.
-24, 2
Suppose 0 = 24*v - 27*v - 21, 2*u - 10*v = 70. What is r in u*r**3 + 2/7*r**5 + 0*r**2 + 4/7*r**4 + 0*r + 0 = 0?
-2, 0
Determine y so that 2/5*y**4 - 8/5*y**2 - 16*y + 4*y**3 + 0 = 0.
-10, -2, 0, 2
Let d(z) be the third derivative of z**5/20 + 61*z**4/24 - 20*z**3/3 + 264*z**2. Let c be d(-21). Factor 6*n - 3/4*n**c - 12.
-3*(n - 4)**2/4
Let o(f) be the third derivative of -f**10/12096 + f**9/15120 - f**4/12 - 5*f**3/6 + 44*f**2. Let g(c) be the second derivative of o(c). Factor g(l).
-l**4*(5*l - 2)/2
Let -4/5*o**3 - 19044/5 - 3772/5*o - 44*o**2 = 0. What is o?
-23, -9
Suppose 96*p - 395 = 12*p + 5*p. Let c(i) be the third derivative of -1/54*i**4 - 13*i**2 + 0 + 1/540*i**p + 2/27*i**3 + 0*i. Factor c(o).
(o - 2)**2/9
Let v be 3/15 + 8448/10. Suppose 3*c**2 - 130*c - c**2 + v + 6*c**2 - 3*c**2 = 0. What is c?
13
Let i be 1055*42/3570 - (-33)/(-3). Factor -26/17*m**2 + 12/17*m + i*m**3 - 2/17 - 8/17*m**4.
-2*(m - 1)**2*(2*m - 1)**2/17
Let j(a) = a**2 - 82*a + 1107. Let h be j(17). Factor -17/5*n + 1/5*n**h - 18/5.
(n - 18)*(n + 1)/5
Let d(v) be the third derivative of -1/945*v**7 + 8/27*v**3 + 11/270*v**5 + 0 + 28*v**2 + 0*v - 1/6*v**4 + 0*v**6. Find s such that d(s) = 0.
-4, 1, 2
Let y(o) = -o**2 + 18. Let b be y(-4). Determine t, given that 5*t**4 - 16*t + 3*t**4 - 16*t**b - 4*t**4 + 4*t**3 = 0.
-2, -1, 0, 2
Let k = -20 - -23. Suppose -k*g + 0*g + 9 = 0. Factor 8*d + 53 - 11*d**3 + g*d**4 + d**4 - 57 + 3*d**3.
4*(d - 1)**3*(d + 1)
Let o(p) be the third derivative of 37*p**5/510 - 87*p**4/68 + 14*p**3/51 + 1439*p**2. Factor o(x).
2*(x - 7)*(37*x - 2)/17
Let d(n) be the first derivative of -3*n**4/4 + 109*n**3 + 168*n**2 - 660*n - 8533. Factor d(l).
-3*(l - 110)*(l - 1)*(l + 2)
Let j be (-2)/8 - 26/(-40). Suppose 26559*h - 26561*h - 26 = 2*u, 3*u + 57 = 3*h. Let -168/5*m**2 + 24/5*m**4 + 44/5*m**h + 98/5*m + j*m**5 + 0 = 0. What is m?
-7, 0, 1
Let v = -42 + 44. Suppose 5*p = -4*y + 12, -v*y + p + 15 = 3*y. Factor -17*u**3 + 7*u**3 - 2*u**y + 15*u**2 - 3*u.
-3*u*(u - 1)*(4*u - 1)
Factor -718*y + 2704*y**2 - 2705*y**2 + 283*y - 1296.
-(y + 3)*(y + 432)
Let f = 21/4 + -391/76. Let h be ((648/(-114))/54)/(1/(-2)). Factor h - 2/19*l**2 + f*l.
-2*(l - 2)*(l + 1)/19
Let u(h) = -2*h**3 - 83*h**2 - 198*h + 1499. Let d(x) = 3*x**3 + 2*x**2 + 2*x - 1. Let p(b) = d(b) - u(b). Suppose p(f) = 0. What is f?
-10, 3
Let b(z) be the third derivative of -3/8*z**4 + 3/40*z**6 + 0*z + 1/20*z**5 - z**3 + 1/70*z**7 + 93*z**2 + 0. Factor b(w).
3*(w - 1)*(w + 1)**2*(w + 2)
Factor 0 - 2/5*p**2 + 178/5*p - 178/5*p**3 + 2/5*p**4.
2*p*(p - 89)*(p - 1)*(p + 1)/5
Let g(f) = f**2 - 6*f + 1. Let s(m) = 8*m**2 - 52*m - 112. Let r(v) = -7*g(v) + s(v). Factor r(y).
(y - 17)*(y + 7)
Let k(t) = -t**3 - 11*t**2 + 12*t + 14. Let f be k(-12). Let o be f + 6/(-2) - 1. Solve 2*p - p + 5*p**3 - 2*p - 10*p**2 - 4*p + o*p**4 = 0 for p.
-1, -1/2, 0, 1
Let h(d) be the third derivative of d**5/12 - 95*d**4/24 + 85*d**3/3 + 9079*d**2. Find z, given that h(z) = 0.
2, 17
Let u(v) = 10*v**2 + v - 1. Let l(c) = 91*c**2 + 195*c + 359. Let q(n) = -l(n) + 9*u(n). Suppose q(w) = 0. What is w?
-184, -2
Solve -63/5*a**2 - 216*a + 4560 + 3/5*a**3 = 0 for a.
-19, 20
Let x(r) = -2*r**2 - 8*r + 481. Let g(o) = 30*o**2 + 130*o - 7214. Let s(c) = 6*g(c) + 92*x(c). Factor s(y).
-4*(y - 22)*(y + 11)
Factor 23/5*m**3 - 81/5*m**2 - 38/5 + 97/5*m - 1/5*m**4.
-(m - 19)*(m - 2)*(m - 1)**2/5
Let y(i) be the first derivative of -533*i**3/4 - 539*i**2/8 - i/2 - 750. Factor y(m).
-(3*m + 1)*(533*m + 2)/4
Let r(o) be the first derivative of o**4/10 - 286*o**3/3 + 128872*o**2/5 - 760416*o/5 - 5448. Factor r(h).
2*(h - 356)**2*(h - 3)/5
Let b = 1008421/30 + -201665/6. Factor -8 + b*u + 2/5*u**2.
2*(u - 2)*(u + 10)/5
Let p(r) = -r**4 - r**3 - r**2 + r + 22. Let d(s) = 4*s**4 - 632*s**3 + 464*s**2 - 96*s - 484. Let x(b) = -2*d(b) - 44*p(b). Factor x(a).
4*a*(a + 37)*(3*a - 1)**2
Let a(h) be the second derivative of h**4/3 + 82*h**3/3 + 660*h**2 + 4472*h. Suppose a(p) = 0. What is p?
-30, -11
Let c be 10 - (-148)/(-16) - (-26)/8. Factor 5*w**c - 6*w**4 - 3*w**4 - 4*w**4 - 4*w**3 + 4*w**5 + 8*w**2.
4*w**2*(w - 2)*(w - 1)*(w + 1)
Factor 3/5*r**3 - 51/5*r**2 + 204/5 - 12/5*r.
3*(r - 17)*(r - 2)*(r + 2)/5
Let v(a) be the second derivative of -a**6/40 + a**5/10 - 77*a**2/2 - 2*a + 13. Let i(n) be the first derivative of v(n). Factor i(g).
-3*g**2*(g - 2)
Let f(o) be the first derivative of -o**6/600 + o**5/50 - o**4/24 - 2*o**3/5 + 93*o**2 + 7. Let c(w) be the second derivative of f(w). Solve c(x) = 0 for x.
-1, 3, 4
Factor 2/5*w**2 - 6/5*w + 4/5.
2*(w - 2)*(w - 1)/5
Find q such that 124/7*q**3 - 156/7*q**2 + 16 - 8/7*q**4 - 176/7*q = 0.
-1, 1/2, 2, 14
Let q(k) = 7*k**4 + k**3 - 4*k + 2. Let y(l) = 8*l**4 - l**3 - 6*l + 3. Let d(j) = 3*q(j) - 2*y(j). Find w, given that d(w) = 0.
-1, 0
Let q(l) = 6*l**4 - 13*l**3 + 7*l**2. Let j = -178 - -176. Let t(h) = -3*h**4 + 7*h**3 - 4*h**2. Let u(a) = j*q(a) - 5*t(a). Factor u(z).
3*z**2*(z - 2)*(z - 1)
Suppose 2076 = 231684*v - 230992*v. Let 0*x**2 + 2/5*x**v + 1/5 - 2/5*x - 1/5*x**4 = 0. What is x?
-1, 1
Let p(t) = -2*t**4 + t**3 + 9*t**2 - 2*t - 2. Let x(y) = 5*y**4 - 69*y**3 + 1068*y**2 + 1296*y - 2308. Let i(o) = 2*p(o) + x(o). Factor i(g).
(g - 34)**2*(g - 1)*(g + 2)
Let b(i) be the second derivative of i**4/72 + 43*i**3/18 - 29*i**2/4 - 7*i - 72. Factor b(z).
(z - 1)*(z + 87)/6
Let r(b) = -7*b**3 - 40*b**2 + 17*b + 35. Let k(j) = -6*j**3 - 38*j**2 + 14*j + 34. Let t(h) = 5*k(h) - 4*r(h). Let t(y) = 0. What is y?
-15, -1, 1
Let f(h) be the first derivative of -h**4/18 - 88*h**3/9 - 383*h**2/9 + 344*h/3 + 118. Factor f(c).
-2*(c - 1)*(c + 4)*(c + 129)/9
Let f be 15228/126 + 12/(-14). Let o be (-54)/f*-5 - 2. Determine w so that 3/2 + o*w**2 + 5/4*w = 0.
-3, -2
Let l(k) be the first derivative of k**6/6 - 2*k**5/5 - 2*k**4 + 6*k**3 - 9*k**2/2 - 8098. Factor l(p).
p*(p - 3)*(p - 1)**2*(p + 3)
Suppose -37*q + 3*q = -4318. Let y = q + -122. Let 0 + 7/2*t**3 + 4/3*t**4 + 0*t + 1/6*t**y + 3*t**2 = 0. What is t?
-3, -2, 0
Suppose -5059 = -43*m - 4930. Let r(w) be the first derivative of 1/15*w**2 - 15 + 0*w - 2/45*w**m. Factor r(n).
-2*n*(n - 1)/15
Let v(w) be the third derivative of -w**7/168 + 13*w**6/80 + 37*w**5/240 - 13*w**4/16 - 4*w**3/3 - 6478*w**2. Find j, given that v(j) = 0.
-1, -2/5, 1, 16
Let t = 2421/12055 - 2/2411. Let -1/5*n**2 + 2/5*n + 0 + t*n**4 - 2/5*n**3 = 0. Calculate n.
-1, 0, 1, 2
Let h = -29669 + 29671. Suppose 2/11 + 0*u**h + 1/11*u**3 - 3/11*u = 0. Calculate u.
-2, 1
Let h(g) be the second derivative of -g**6/2160 - 7*g**5/720 - 5*g**4/72 - 241*g**3/6 - 7*g + 6. Let r(y) be the second derivative of h(y). Factor r(j).
-(j + 2)*(j + 5)/6
Let -2870/9*a**4 - 217054060/9*a**2 + 438232310/9*a - 1370900/9*a**3 - 219804478/9 - 2/9*a**5 = 0. Calculate a.
-479, 1
Let x(o) = 5*o**4 + 91*o**3 + 132*o**2 + 67*o - 77. Let l(y) = -2*y**4 - 30*y**3 - 44*y**2 - 22*y + 22. Let g(p) = 7*l(p) + 2*x(p). Factor g(t).
-4*t*(t + 1)**2*(t + 5)
Factor -645*j**2 + 225/2*j**3 + 1849/2*j + 0.
j*(15*j - 43)**2/2
Let j(p) be the first derivative of 4/3*p + 1/2*p**2 - 19 - 1/9*p**3. Factor j(y).
-(y - 4)*(y + 1)/3
Let f(g) = 146*g - 267 - 3*g**2 + 907 - g**2. Let w = -17 - -20. Let a(y) = y**2 - 29*y - 128. Let q(p) = w*f(p) + 14*a(p). Factor q(l).
2*(l + 8)**2
Determine p so that -60 + 5/2*