uppose x(b) = 0. What is b?
-5, -2/7, 0, 1/2
Let l be (-1 - 1) + 6912/3402. Let q(b) be the second derivative of -l*b**3 + 0 + 20*b - 1/126*b**4 + 1/210*b**5 + 0*b**2. Determine u, given that q(u) = 0.
-1, 0, 2
Let c(a) be the second derivative of -a**5/10 - 31*a**4/2 - 705*a**3 + 2209*a**2 - 35*a + 2. Factor c(h).
-2*(h - 1)*(h + 47)**2
Let u = 6001269/298 - 60416/3. Let a = -2/149 - u. Find j, given that 1/3 - 1/6*j**4 - 5/6*j + a*j**3 + 1/2*j**2 = 0.
-2, 1
Factor 10/3*f**3 - 6*f + 7/3*f**2 + 0 + 1/3*f**4.
f*(f - 1)*(f + 2)*(f + 9)/3
Let p(l) = -l**2 - 5383*l + 21548. Let k be p(4). Solve 28/3*y**3 + 0*y + k + 8*y**2 + 4/3*y**4 = 0 for y.
-6, -1, 0
Let t(d) be the second derivative of d**4/54 + 35*d**3/3 - 316*d**2/9 + 3*d + 210. Suppose t(w) = 0. Calculate w.
-316, 1
Let k(y) = 3*y**2 + 14*y + 1. Let z be k(-5). Factor -13 - 15*c + 3*c**3 - z - 3*c**2 + 10 + 0*c**3.
3*(c - 3)*(c + 1)**2
Let g(a) = -a**2 - 4*a + 47. Let k be g(5). Factor 24*h**2 - 39*h - 146*h**3 + 42*h**k - 3*h**5 + 9 + 21*h**4 + 92*h**3.
-3*(h - 3)*(h - 1)**4
Let i(k) be the third derivative of -5*k**8/336 + 13*k**7/21 - 63*k**6/8 + 18*k**5 + 90*k**4 - 5032*k**2 + 2. Suppose i(p) = 0. Calculate p.
-1, 0, 3, 12
Let o = 227 + -209. Let w(i) = 8*i**4 - 153*i**3 - 9*i**2 + 9. Let g(z) = -2*z**4 + 38*z**3 + 2*z**2 - 2. Let h(p) = o*g(p) + 4*w(p). Factor h(l).
-4*l**3*(l - 18)
Find t such that -36/5 + 30*t**3 + 14/5*t**4 + 222/5*t**2 + 10*t = 0.
-9, -1, 2/7
Let r be (-3 + 2 - 2) + 5. Suppose -42*c + 70*c + 4*c**r + 0 + 0 = 0. Calculate c.
-7, 0
Let s = 4840 - 33876/7. Let n be (-10)/(-4) + 27/18. Find m, given that 0 + 2/7*m - 2/7*m**5 - 4/7*m**2 + s*m**n + 0*m**3 = 0.
-1, 0, 1
Factor 1/2*b**2 - 6*b + 11/2.
(b - 11)*(b - 1)/2
Let m be -1 - -3 - (2 + -2 - 121). Let i = -119 + m. Let 0 - 4/3*l + 4/3*l**5 + 8/3*l**i + 0*l**3 - 8/3*l**2 = 0. Calculate l.
-1, 0, 1
What is i in 130/3*i**2 + 0 - 1/3*i**5 - 197/3*i**3 + 68/3*i**4 + 0*i = 0?
0, 1, 2, 65
Find y such that -22445/2 - 1/2*y**3 - 5159/2*y - 139/2*y**2 = 0.
-67, -5
Let n = 2969/2982 - 67/142. Let j(l) be the second derivative of 20*l - 3/14*l**5 - 2/7*l**2 + 2/3*l**4 + 0 - n*l**3. Find b, given that j(b) = 0.
-2/15, 1
Find k, given that 132 + 73*k - 40*k**2 + 23*k**2 + 14*k**2 + 92*k - 36*k = 0.
-1, 44
Suppose 4*v = 5*b - 3, -11*b + v = -16*b + 18. Let t(q) = q**2 - 5*q + 6. Let i be t(4). Factor -6*d**2 + 2*d**4 - 4*d**5 + 4*d**3 - d**2 + i*d**4 + b*d**2.
-4*d**2*(d - 1)**2*(d + 1)
Suppose 22 = 5*n - 2*h, 0*n + h + 13 = 3*n. Suppose -102 = -y - 2*f, n*f - 2*f + 346 = 3*y. Factor y*w - 32 - 4*w**2 + 115*w - 191*w.
-4*(w - 8)*(w - 1)
Let p = 256967/74963 + 7/10709. Factor -48/7*i - 3/7*i**3 - p*i**2 + 0.
-3*i*(i + 4)**2/7
Let q(w) = -w**3 - 47 - 12*w**2 + 18*w**2 + 32 + 12*w. Let n be q(7). Suppose 16*l**3 - 4 + 1 + 2 + 5 + n*l**4 - 24*l**2 - 16*l = 0. Calculate l.
-1, 1/5, 1
Let w = 1/657 - -214/3285. Let h(v) be the third derivative of -1/40*v**4 + 1/300*v**5 + w*v**3 + 5*v**2 + 0 + 0*v. Suppose h(d) = 0. What is d?
1, 2
Let l(d) = -73*d**2 + 10*d + 2100. Let a(y) = 23*y**2 + 2*y. Let n(t) = 3*a(t) + l(t). Let n(r) = 0. What is r?
-21, 25
Let s = -323 + 326. Determine g so that 5*g**s - 10*g**2 + 605 + 134*g**2 + 715*g - 9*g**2 = 0.
-11, -1
Factor 0*b - 81/4*b**2 - 99/8*b**3 + 0 + 1/8*b**5 - 3/2*b**4.
b**2*(b - 18)*(b + 3)**2/8
Let f(q) = 22*q**2 + 2990*q + 585. Let j(i) = i**2 - 20*i. Let o(m) = -f(m) - 3*j(m). Solve o(z) = 0.
-117, -1/5
Let i(k) = k**3 - 30*k**2 + 56*k + 20. Let h be i(28). Suppose 51*w**3 - 15*w**3 + 19*w**3 + 35*w**2 - 55*w - 15 - h*w**4 = 0. Calculate w.
-1, -1/4, 1, 3
Let h(b) be the second derivative of b**7/630 - 83*b**6/90 + 6889*b**5/30 - 91*b**4/4 - 2*b + 5. Let x(a) be the third derivative of h(a). Factor x(q).
4*(q - 83)**2
Suppose 246 = 15*m - 579. Factor m*v**2 + 107*v - 6*v**3 + 140 + 53*v + 11*v**3.
5*(v + 2)**2*(v + 7)
Let b(h) = -h**2 - h - 1. Let r(q) = 14*q**2 + 170*q + 1610. Let v(y) = -y**3 - 6*y**2 + 3*y + 8. Let n be v(-6). Let m(o) = n*b(o) - r(o). Factor m(i).
-4*(i + 20)**2
Let z(n) = 4*n**3 + 14*n**2 + 8*n - 88. Let b(s) = -s**3 - 5*s**2 - 3*s + 30. Let i(m) = 20*b(m) + 6*z(m). Factor i(j).
4*(j - 3)**2*(j + 2)
Suppose 2*t - 10*c - 7 = -15*c, -3 = c. Suppose -t*n = -2417 + 1229. Factor n*a - 24 - 243/2*a**2.
-3*(9*a - 4)**2/2
Let u(b) = b**2 - 3*b. Suppose -29 = o - 5*x, 4*x - 7 = -3*o + 1. Let j(q) = q**2 - 3*q. Let y(w) = o*j(w) + 3*u(w). Factor y(c).
-c*(c - 3)
Let w(a) = -a**2 - 6*a + 2. Let o be w(-6). Find p such that 5 + 21*p**2 + p**3 + 0*p**2 - p - 26*p**o = 0.
-1, 1, 5
Let t(l) be the third derivative of -l**5/20 - 37*l**4/8 - 135*l**3 + 2*l**2 + 19*l - 1. Let t(x) = 0. What is x?
-27, -10
Let x(d) be the first derivative of -1/35*d**5 + 1/2*d**2 + 5/28*d**4 - 3/7*d**3 + 61 - 2/7*d. Determine h so that x(h) = 0.
1, 2
Let r(o) = o**3 + 41*o**2 + 148*o + 8. Let k be r(-37). Let b(f) = -41*f + 331. Let q be b(k). Find j such that -16/17*j - 2/17*j**q - 10/17*j**2 - 8/17 = 0.
-2, -1
Let i(m) be the first derivative of m**8/8400 - m**7/1400 + m**6/900 + 3*m**3 - m**2 - 16. Let t(f) be the third derivative of i(f). What is d in t(d) = 0?
0, 1, 2
Suppose 2*p - 196 = 3*h + 2*h, -2*h = -2*p + 76. Let c = 51 + h. Find i, given that -4*i**4 - 3*i**3 + 13*i**2 - i**3 + c*i**2 - 8*i**2 + 16*i = 0.
-2, -1, 0, 2
Suppose -271 = 7*p + 289. Let k be 8/p*(-27 - -12). Find g, given that -3/2*g**3 - 1 + 1/2*g**2 + k*g + 1/2*g**4 = 0.
-1, 1, 2
Let s be -140*(-36)/567 + -8. Factor -4/9*g**5 + 28/9*g**2 + 0 - 4*g**3 - s*g + 20/9*g**4.
-4*g*(g - 2)*(g - 1)**3/9
Let w(q) = -q**3 + 2*q**2 + 38*q + 422. Let o be w(10). Let -20/9*a**o + 2/9*a**3 + 0 + 2/3*a**4 - 16/9*a = 0. Calculate a.
-4/3, -1, 0, 2
Let t = 1733/63 - 245/9. Let u = 27/112 - -5/112. Suppose u*r**2 + t*r + 0 = 0. Calculate r.
-1, 0
Let a(u) be the first derivative of -120 - 1/10*u**5 + 2/3*u**3 - 3/8*u**4 + 0*u**2 + 0*u. Factor a(b).
-b**2*(b - 1)*(b + 4)/2
Factor -1644*d + 9880/3 - 4/3*d**2.
-4*(d - 2)*(d + 1235)/3
Let l(r) be the first derivative of -r**3/3 + r**2/2 + 90*r + 144. Let w be l(-9). Solve w + 0*y - 2/7*y**3 + 1/7*y**5 + 1/7*y**4 + 0*y**2 = 0 for y.
-2, 0, 1
Let c(m) be the third derivative of -m**7/2205 - 37*m**6/1260 - 323*m**5/630 + 361*m**4/252 + 910*m**2. Factor c(l).
-2*l*(l - 1)*(l + 19)**2/21
Let h = 45636/27445 + -66/2495. Factor 0 + h*w**2 - 14/11*w.
2*w*(9*w - 7)/11
Let m = 35348 - 35304. Let p(b) be the first derivative of -49 - 484*b - 4/3*b**3 - m*b**2. Factor p(l).
-4*(l + 11)**2
Let 12/7*t - 2/7*t**2 + 494/7 = 0. What is t?
-13, 19
Let f(b) be the first derivative of -b**8/4200 - b**7/2100 - 19*b**3/3 + 58. Let x(h) be the third derivative of f(h). What is s in x(s) = 0?
-1, 0
Let c be ((-51)/45 - -1) + 12340/13800. Let d = 40/23 + c. Factor -3 - 1/2*t**2 - d*t.
-(t + 2)*(t + 3)/2
Let k = 6525 + -6521. Let b(s) be the second derivative of -5*s - 13/6*s**k - 4*s**2 - 3/5*s**5 - 4*s**3 + 0 - 1/15*s**6. Factor b(g).
-2*(g + 1)**2*(g + 2)**2
Let g(j) = j**2 + 13*j + 12. Let r be g(-12). Suppose -3*t + 39 - 33 = r. Factor 30*n**t - 11*n**4 + 0*n**3 - 3*n**3 + 19*n - 3*n**5 - n**4 - 7*n - 24.
-3*(n - 1)**2*(n + 2)**3
Let o(w) = -w**3 + 2*w**2 + 3*w + 3. Suppose -4*s - 12 = -8*s. Let a be o(s). Determine y so that 261*y**2 + 24 - 243*y**2 - 3*y**a - 21*y - 15*y = 0.
2
Let r = 307141 - 2149969/7. Factor 3/7*o**3 - 3/7*o - 18/7*o**2 + r.
3*(o - 6)*(o - 1)*(o + 1)/7
Let f = -926518 - -926522. Suppose 41/5*t**2 + 4*t**3 - 9/5*t**f + 12/5 - 64/5*t = 0. Calculate t.
-2, 2/9, 1, 3
Factor 814669641 + 1347*o**2 - 1/3*o**3 - 1814409*o.
-(o - 1347)**3/3
Let b(q) be the second derivative of -q**7/2520 - q**6/540 - q**5/270 + 61*q**4/12 + 26*q. Let y(o) be the third derivative of b(o). Let y(c) = 0. What is c?
-2/3
Let m = -88112 - -616800/7. Factor -16/7*j**2 + 0 - m*j - 4/7*j**3.
-4*j*(j + 2)**2/7
Let g be (16878/60 - (-1)/5)*1. Let m = g + -279. Factor 0*a - 5/2*a**2 + m.
-5*(a - 1)*(a + 1)/2
Let g(v) be the second derivative of 1/5*v**2 + 1/25*v**5 - 1/15*v**3 + 1/75*v**6 + 2*v + 2 - 1/15*v**4 - 1/105*v**7. Factor g(x).
-2*(x - 1)**3*(x + 1)**2/5
Factor 2*h**2 + 786 - 391 + 0*h**2 - 399 - 31*h + 29*h.
2*(h - 2)*(h + 1)
Suppose 3*j + 10 + 8 = 0. Let s be j - -7 - 3/(-3). Factor -10*l**2 + 2 - 10*l**2 + 16*l**s + 2*