2 + x - 1. Let b(u) = 16*u**4 + 2*u**3 - 31*u**2 + 22*u + 1. Let s(d) = b(d) - 2*m(d). Factor s(g).
(g - 1)**2*(2*g + 3)*(8*g + 1)
Let b be ((-84)/15 - 0)/((-117)/585). Let q(r) be the first derivative of 3/4*r**4 + 9*r + r**3 - b - 15/2*r**2. Factor q(y).
3*(y - 1)**2*(y + 3)
Let u = 1554932/2591545 + -1/518309. Find f such that u*f**2 - 3*f + 18/5 = 0.
2, 3
Let t = 0 + 15. Let j(y) = y**2 + 1. Let l(s) = 4*s**2 - 5*s + 7. Let c(u) = t*j(u) - 5*l(u). Factor c(a).
-5*(a - 4)*(a - 1)
Let k = -35915/4 + 119873/12. Let w = k + -1010. Factor -w*r**2 - 2/3*r**3 + 2/3*r + 2/3.
-2*(r - 1)*(r + 1)**2/3
Let j be ((-4)/(-30))/(3/27). Let y = 38/1787 - -3384/8935. Factor -4/5 - y*z**2 + j*z.
-2*(z - 2)*(z - 1)/5
Let y(g) = -3*g**4 - 100*g**3 + 176*g**2 + 2*g - 2. Let p(f) = 23*f**4 + 799*f**3 - 1408*f**2 - 17*f + 17. Let l(c) = 6*p(c) + 51*y(c). Let l(b) = 0. What is b?
-22, 0, 8/5
Let j(c) be the first derivative of -4*c**5/5 - 46*c**4 + 28*c**3/3 + 632*c**2 - 1104*c - 4544. Find r, given that j(r) = 0.
-46, -3, 1, 2
Let a = 28709/21 + -1367. Let v(m) be the third derivative of 1/42*m**5 + 0*m + 0 + 4/21*m**3 + 16*m**2 - a*m**4 - 1/420*m**6. What is j in v(j) = 0?
1, 2
Let p(j) = -50*j**3 - 21*j**2 + 68*j + 21. Let x(w) = 801*w**3 + 336*w**2 - 1098*w - 336. Let n(t) = 33*p(t) + 2*x(t). Factor n(g).
-3*(g - 1)*(g + 1)*(16*g + 7)
Find w, given that 220 + 5*w**4 - 109 + 285*w**2 + 67*w + 16 + 838*w + 383 - 105*w**3 = 0.
-1, 6, 17
Let g(f) be the third derivative of -2*f**5/15 + 209*f**4/3 - 43681*f**3/3 + f**2 + 252. Factor g(k).
-2*(2*k - 209)**2
Let f(y) = y + 1. Let u be f(10). Let s(o) = -o**2 + 12*o - 7. Let i be s(u). Factor -27/2*a - 1/2*a**i - 27/2*a**2 + 0 - 9/2*a**3.
-a*(a + 3)**3/2
Suppose -3*c = h + 12, -5*c + 9*c = 3*h - 29. Factor -10*v + 32*v**2 - 4*v - 40*v**2 + 2*v**h + 20.
2*(v - 5)*(v - 1)*(v + 2)
Let a(d) = 3*d**4 - 232*d**3 - 6218*d**2 - 31805*d - 45005. Let l(n) = -n**4 + 4*n**3 + n + 1. Let h(w) = -a(w) - 5*l(w). Suppose h(o) = 0. Calculate o.
-50, -3
Let i(h) be the second derivative of -h**4/18 + 34*h**3/9 - 11*h**2 - 1877*h. Let i(t) = 0. Calculate t.
1, 33
Factor -65*j + 8 - 8 + 34*j - j**2 + 44*j.
-j*(j - 13)
Let p = -7835 + 7839. Let b(t) be the first derivative of -27 - 2/65*t**5 + 0*t - 5/13*t**2 - 3/26*t**p + 6/13*t**3. Factor b(w).
-2*w*(w - 1)**2*(w + 5)/13
Let m(t) be the second derivative of -t**4/36 + t**3/2 + 6*t**2 - 580*t. Factor m(r).
-(r - 12)*(r + 3)/3
Let m = -568 - -580. Let n be (2 - 15/m)*(5 - 1). Determine c, given that -6/5 - 4/5*c**2 - 1/5*c**n + 11/5*c = 0.
-6, 1
Let k be 207/(-15) + 112/8. Let p(f) be the second derivative of 2/3*f**3 - k*f**5 - 2*f**2 + 1/3*f**4 + 0 - 4*f. Let p(o) = 0. What is o?
-1, 1
Find l such that 39*l**3 + 42*l**3 + 362*l + 42*l**3 - 118*l**3 - 465*l**2 - 900 + 998*l = 0.
1, 2, 90
Let f be (14732/145)/(656/10) + 2/(-41). Determine y so that 3/8*y**2 + 15/8*y + f = 0.
-4, -1
Suppose 4*t - 520 = -608. Let h(s) = 4*s + 90. Let w be h(t). Factor 12/7 - 2/7*c**w + 2/7*c.
-2*(c - 3)*(c + 2)/7
Let j(u) = -u**2 + 5*u + 8. Let s be j(6). Let i be 284/97767*216 - 4/(-102). Suppose 2/3*k**s + i*k + 0 = 0. What is k?
-1, 0
Let y = 2234287/3 - 744761. Factor -y - 1/3*v**2 - 5/3*v.
-(v + 1)*(v + 4)/3
Let w(a) be the second derivative of 3*a**5/20 + 2*a**4 - 11*a**3/2 - 27*a**2 + 8896*a - 1. Factor w(v).
3*(v - 2)*(v + 1)*(v + 9)
Let l(o) be the second derivative of 7*o**5/80 - 9*o**4 + 2201*o**3/8 + 961*o**2/4 - 10*o. Factor l(h).
(h - 31)**2*(7*h + 2)/4
Let t(l) be the third derivative of l**5/150 + 9*l**4/5 - 109*l**3/15 + l**2 + 249. Let t(b) = 0. What is b?
-109, 1
Let n(q) be the second derivative of 2*q**6/15 + 19*q**5 + 181*q**4 + 534*q**3 - 1007*q. Factor n(r).
4*r*(r + 3)**2*(r + 89)
Factor -40/3*r**3 + 10 + 65*r**2 + 265/3*r.
-5*(r - 6)*(r + 1)*(8*r + 1)/3
Suppose 0 = 4*o - 1285 - 427. Factor -436*s**4 + 869*s**4 + 105*s**3 - 22*s - 83*s - o*s**4 - 115*s**2 + 110.
5*(s - 1)**2*(s + 1)*(s + 22)
Factor -214/11*t**2 - 1422/11*t - 10/11*t**3 - 2754/11.
-2*(t + 9)**2*(5*t + 17)/11
Factor -23*i**4 + 448 - 100*i**3 - 946*i + 16*i**4 + 276*i**2 + 138*i + 11*i**4 + 180*i**3.
4*(i - 1)**2*(i + 8)*(i + 14)
Let a = 31 + -27. Suppose 3*d = 5*j + 22, 0*d + 4*j = -3*d + 4. Factor 9 - 10*x**2 - 5*x**d - 5 - a + 15*x**3.
-5*x**2*(x - 2)*(x - 1)
Suppose -3*c + 663 = -2205. Suppose s = 7*b - 2*b - c, -4*b - 2*s + 762 = 0. What is x in -20*x - 75 + b - 91 - 5*x**2 = 0?
-5, 1
Let t = -157424/5 + 31486. Factor 1/5*j**4 + 2*j + 0 + 3/5*j**2 - t*j**3.
j*(j - 5)*(j - 2)*(j + 1)/5
Let z be ((-10368)/252 + 41)*-3. Let z*p**2 - 1/7*p**4 + 5/7*p - 1/7*p**3 + 2/7 = 0. Calculate p.
-1, 2
Suppose 5*a - a - f = 16, -5*a - 3*f + 37 = 0. Find r, given that -65*r**5 - 63*r**3 - 112*r**3 - 302*r**4 - 61*r**a - 4*r - 58*r**2 - 55*r**3 = 0.
-1, -2/7, -1/9, 0
Let 395 + 32761*l**2 + 362*l + 418 - 812 = 0. What is l?
-1/181
Solve -2/19*l**2 + 530/19 - 96/19*l = 0.
-53, 5
Let u(k) be the first derivative of 2*k**6/21 + 8*k**5/35 - 4*k**4/7 - 32*k**3/21 + 718. Factor u(n).
4*n**2*(n - 2)*(n + 2)**2/7
Find h, given that 20/3 - 2*h**4 - 14/3*h + 38/3*h**3 - 38/3*h**2 = 0.
-2/3, 1, 5
Suppose 370 = 4*j + 334. Let d(x) = -15*x**3 + 9*x**2 + 33*x - 63. Let k(g) = 7*g**3 - 5*g**2 - 16*g + 32. Let z(n) = j*k(n) + 4*d(n). Factor z(p).
3*(p - 3)*(p - 2)*(p + 2)
Let q = -41 - -43. Let p be (9/3 + -2)*(0 + q). Factor 20 + 2*x - 3*x**3 - 2*x**p - 18 + 5*x**3 - 4*x**3.
-2*(x - 1)*(x + 1)**2
Suppose -3*m + 10 = 31. Let y be (-40)/(-14) - ((-20)/m + -3). Factor 2*h**2 + 37 - 37 - 2*h**4 - h**y + h**4.
-h**2*(h - 1)*(h + 2)
Suppose 2728/19*t**4 + 2/19*t**5 + 375543352/19*t + 189629444/19*t**2 + 187153328/19 + 1242146/19*t**3 = 0. Calculate t.
-454, -1
Factor 8*p**2 + 35*p**4 + 981*p**3 + p**5 - 925*p**3 - 28 - 6*p**2 - 55*p - 2*p**5 - 9*p**4.
-(p - 28)*(p - 1)*(p + 1)**3
Determine d, given that 638/5*d**4 + 2/5*d**5 + 0 + 69834/5*d**3 + 4370908*d + 2821994/5*d**2 = 0.
-103, -10, 0
Let j(s) be the first derivative of 11*s**5/5 - 31*s**4/4 - 2*s**3 + 22*s**2 + 8*s + 10224. Suppose j(l) = 0. What is l?
-1, -2/11, 2
Let a be 2/(-2) - (-252)/(-3). Let g = a + 87. Determine s, given that -5 - 5*s**2 + s**g + 9*s**2 = 0.
-1, 1
Let k be (-2106)/(-3159)*42/34. Solve -8/17*x + 0 - 6/17*x**4 + 0*x**2 + k*x**3 = 0.
-2/3, 0, 1, 2
Factor 0*q + 0 - 1068/5*q**2 - 3/5*q**3.
-3*q**2*(q + 356)/5
Let x = -1/18401 + 368033/239213. Let -2/13*o**2 - x*o - 18/13 = 0. What is o?
-9, -1
Let w(v) be the first derivative of v**4 - 4*v**3/3 - 6*v**2 + 12*v - 15. Let a(x) = x - 1. Suppose 0 = -8*z - 11 + 3. Let c(n) = z*w(n) - 12*a(n). Factor c(d).
-4*d**2*(d - 1)
Suppose -258 = -3*f + 3*g, -4*f + g + 96 = -233. Let v = 1111 + -1109. Solve -513/8*k**v - 81/2 - 201/8*k**3 - 39/8*k**4 - 3/8*k**5 - f*k = 0 for k.
-3, -2
Let m(g) be the second derivative of 0 - 4/15*g**3 + 16*g - 3/5*g**2 - 1/30*g**4. What is a in m(a) = 0?
-3, -1
Let g be (-4)/4*7024/8. Let h = 2638/3 + g. Determine i, given that 2*i - h - 2/3*i**2 = 0.
1, 2
Let o(x) = 3*x**2 + 47*x - 14. Let d be o(-16). Find s such that -3 - 22*s - 21*s - 2*s**d + 35*s + 13 = 0.
-5, 1
Let w(k) be the first derivative of k**4/4 - 40*k**3/3 - 41*k**2/2 + 695. Factor w(m).
m*(m - 41)*(m + 1)
Let m(b) be the first derivative of -b**4/10 + 16*b**3/3 - 192*b**2/5 - 9216*b/5 - 6718. Factor m(r).
-2*(r - 24)**2*(r + 8)/5
Let g be (5 - (-2090)/(-440))/((-10)/(-96)). Find l such that -4/5*l - g + 7/5*l**2 - 1/5*l**3 = 0.
-1, 2, 6
What is b in 0 + 92/3*b**2 + 0*b - 2/3*b**3 = 0?
0, 46
Let m(s) = 3*s**2 + 8*s - 77. Let y be m(4). Let o be (-1)/3*(-6 - y). Factor 1/5*g - 1/5*g**o + 1/5*g**4 + 0 - 1/5*g**2.
g*(g - 1)**2*(g + 1)/5
Let q be (-256)/384*(-141)/2. Suppose 50*z = -q*z + 20*z. Suppose 0 - 6/7*v**4 + z*v + 3/7*v**5 - 9/7*v**3 + 0*v**2 = 0. What is v?
-1, 0, 3
Let d(k) be the second derivative of k**5/140 - 5*k**4/7 + 113*k**3/42 + 87*k**2/7 + 3575*k. Let d(l) = 0. Calculate l.
-1, 3, 58
Suppose 2*v - 8 - 10 = 2*r, -v - 4*r - 11 = 0. What is u in u**2 + u**v + 21698*u**3 - 12*u - 8 - 21685*u**3 + 7*u**4 - 2*u = 0?
-4, -2, -1, 1
Let f(q) be the third derivative of -q**7/560 + 11*q**6/192 + 13*q**5/160 - 19*q**4/192 - q**2 + 168*q - 13. Suppose f(v) = 0. What is v?
-1, 0, 1/3, 19
Suppose -22*d + 3*d - 30*d**2 - 11*d**2 - 7 + 52